## Begin on: Wed Jan 22 05:56:42 CET 2020

ENUMERATION
No. of records: 3366

FAMILY (oriented family) : isomorphism classes
1     [ E1b] : 73 (69 non-degenerate)
2     [ E3b] : 320 (247 non-degenerate)
2*    [E3*b] : 320 (247 non-degenerate)
2ex   [E3*c] : 6 (6 non-degenerate)
2*ex  [ E3c] : 6 (6 non-degenerate)
2P    [  E2] : 83 (79 non-degenerate)
2Pex  [ E1a] : 9 (9 non-degenerate)
3     [ E5a] : 1947 (1257 non-degenerate)
4     [  E4] : 214 (125 non-degenerate)
4*    [ E4*] : 214 (125 non-degenerate)
4P    [  E6] : 108 (71 non-degenerate)
5     [ E3a] : 33 (24 non-degenerate)
5*    [E3*a] : 33 (24 non-degenerate)
5P    [ E5b] : 0

E28.1 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {28, 28})
Quotient :: toric
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ B, A, B, A, B, A, A, B, A, B, A, B, A, A, B, A, B, A, B, B, A, B, A, B, A, B, B, A, B, A, B, A, A, B, A, B, A, B, A, A, B, A, B, A, B, B, A, B, A, B, A, B, A, B, A, B, S^2, S^-1 * A * S * B, S^-1 * B * S * A, S^-1 * Z * S * Z, Z^28, (Z^-1 * A * B^-1 * A^-1 * B)^28 ]
Map::
	R = (1, 30, 58, 86, 2, 34, 62, 90, 6, 42, 70, 98, 14, 52, 80, 108, 24, 47, 75, 103, 19, 41, 69, 97, 13, 46, 74, 102, 18, 56, 84, 112, 28, 49, 77, 105, 21, 38, 66, 94, 10, 31, 59, 87, 3, 35, 63, 91, 7, 43, 71, 99, 15, 53, 81, 109, 25, 51, 79, 107, 23, 40, 68, 96, 12, 33, 61, 89, 5, 36, 64, 92, 8, 44, 72, 100, 16, 54, 82, 110, 26, 48, 76, 104, 20, 37, 65, 93, 9, 45, 73, 101, 17, 55, 83, 111, 27, 50, 78, 106, 22, 39, 67, 95, 11, 32, 60, 88, 4, 29, 57, 85)
	L = (1, 57)(2, 58)(3, 59)(4, 60)(5, 61)(6, 62)(7, 63)(8, 64)(9, 65)(10, 66)(11, 67)(12, 68)(13, 69)(14, 70)(15, 71)(16, 72)(17, 73)(18, 74)(19, 75)(20, 76)(21, 77)(22, 78)(23, 79)(24, 80)(25, 81)(26, 82)(27, 83)(28, 84)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 112^112 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 56 f = 1
	degree seq :: [ 112 ]

E28.2 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {28, 28})
Quotient :: toric
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ A^2, S^2, B^-1 * A, Z^-1 * A * Z * B^-1, S * A * S * B, Z^-1 * B * Z * A, (S * Z)^2, Z^13 * B^-1 * Z ]
Map::
	R = (1, 30, 58, 86, 2, 33, 61, 89, 5, 37, 65, 93, 9, 41, 69, 97, 13, 45, 73, 101, 17, 49, 77, 105, 21, 53, 81, 109, 25, 55, 83, 111, 27, 51, 79, 107, 23, 47, 75, 103, 19, 43, 71, 99, 15, 39, 67, 95, 11, 35, 63, 91, 7, 31, 59, 87, 3, 34, 62, 90, 6, 38, 66, 94, 10, 42, 70, 98, 14, 46, 74, 102, 18, 50, 78, 106, 22, 54, 82, 110, 26, 56, 84, 112, 28, 52, 80, 108, 24, 48, 76, 104, 20, 44, 72, 100, 16, 40, 68, 96, 12, 36, 64, 92, 8, 32, 60, 88, 4, 29, 57, 85)
	L = (1, 59)(2, 62)(3, 57)(4, 63)(5, 66)(6, 58)(7, 60)(8, 67)(9, 70)(10, 61)(11, 64)(12, 71)(13, 74)(14, 65)(15, 68)(16, 75)(17, 78)(18, 69)(19, 72)(20, 79)(21, 82)(22, 73)(23, 76)(24, 83)(25, 84)(26, 77)(27, 80)(28, 81)(29, 87)(30, 90)(31, 85)(32, 91)(33, 94)(34, 86)(35, 88)(36, 95)(37, 98)(38, 89)(39, 92)(40, 99)(41, 102)(42, 93)(43, 96)(44, 103)(45, 106)(46, 97)(47, 100)(48, 107)(49, 110)(50, 101)(51, 104)(52, 111)(53, 112)(54, 105)(55, 108)(56, 109)
	local type(s) :: { ( 112^112 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 56 f = 1
	degree seq :: [ 112 ]

E28.3 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {28, 28})
Quotient :: toric
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A, B * Z^-1 * A^-1 * Z, Z^-1 * A * Z * B^-1, (S * Z)^2, A^4, S * A * S * B, Z^-1 * B * Z * A^-1, A^-2 * Z * A^-2 * Z^-1, Z^-3 * B^-1 * Z^-4 ]
Map::
	R = (1, 30, 58, 86, 2, 34, 62, 90, 6, 41, 69, 97, 13, 49, 77, 105, 21, 48, 76, 104, 20, 40, 68, 96, 12, 33, 61, 89, 5, 36, 64, 92, 8, 43, 71, 99, 15, 51, 79, 107, 23, 55, 83, 111, 27, 53, 81, 109, 25, 45, 73, 101, 17, 37, 65, 93, 9, 44, 72, 100, 16, 52, 80, 108, 24, 56, 84, 112, 28, 54, 82, 110, 26, 46, 74, 102, 18, 38, 66, 94, 10, 31, 59, 87, 3, 35, 63, 91, 7, 42, 70, 98, 14, 50, 78, 106, 22, 47, 75, 103, 19, 39, 67, 95, 11, 32, 60, 88, 4, 29, 57, 85)
	L = (1, 59)(2, 63)(3, 65)(4, 66)(5, 57)(6, 70)(7, 72)(8, 58)(9, 61)(10, 73)(11, 74)(12, 60)(13, 78)(14, 80)(15, 62)(16, 64)(17, 68)(18, 81)(19, 82)(20, 67)(21, 75)(22, 84)(23, 69)(24, 71)(25, 76)(26, 83)(27, 77)(28, 79)(29, 89)(30, 92)(31, 85)(32, 96)(33, 93)(34, 99)(35, 86)(36, 100)(37, 87)(38, 88)(39, 104)(40, 101)(41, 107)(42, 90)(43, 108)(44, 91)(45, 94)(46, 95)(47, 105)(48, 109)(49, 111)(50, 97)(51, 112)(52, 98)(53, 102)(54, 103)(55, 110)(56, 106)
	local type(s) :: { ( 112^112 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 56 f = 1
	degree seq :: [ 112 ]

E28.4 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {28, 28})
Quotient :: toric
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ S^2, A * B^-1, B^4, S * A * S * B, A^4, (A^-1 * B^-1)^2, Z^-1 * A * Z * B^-1, Z^-1 * B * Z * A^-1, (S * Z)^2, A^-2 * Z * A^-2 * Z^-1, Z^-2 * B * Z^-5 ]
Map::
	R = (1, 30, 58, 86, 2, 34, 62, 90, 6, 41, 69, 97, 13, 49, 77, 105, 21, 46, 74, 102, 18, 38, 66, 94, 10, 31, 59, 87, 3, 35, 63, 91, 7, 42, 70, 98, 14, 50, 78, 106, 22, 55, 83, 111, 27, 53, 81, 109, 25, 45, 73, 101, 17, 37, 65, 93, 9, 44, 72, 100, 16, 52, 80, 108, 24, 56, 84, 112, 28, 54, 82, 110, 26, 48, 76, 104, 20, 40, 68, 96, 12, 33, 61, 89, 5, 36, 64, 92, 8, 43, 71, 99, 15, 51, 79, 107, 23, 47, 75, 103, 19, 39, 67, 95, 11, 32, 60, 88, 4, 29, 57, 85)
	L = (1, 59)(2, 63)(3, 65)(4, 66)(5, 57)(6, 70)(7, 72)(8, 58)(9, 61)(10, 73)(11, 74)(12, 60)(13, 78)(14, 80)(15, 62)(16, 64)(17, 68)(18, 81)(19, 77)(20, 67)(21, 83)(22, 84)(23, 69)(24, 71)(25, 76)(26, 75)(27, 82)(28, 79)(29, 89)(30, 92)(31, 85)(32, 96)(33, 93)(34, 99)(35, 86)(36, 100)(37, 87)(38, 88)(39, 104)(40, 101)(41, 107)(42, 90)(43, 108)(44, 91)(45, 94)(46, 95)(47, 110)(48, 109)(49, 103)(50, 97)(51, 112)(52, 98)(53, 102)(54, 111)(55, 105)(56, 106)
	local type(s) :: { ( 112^112 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 56 f = 1
	degree seq :: [ 112 ]

E28.5 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {28, 28})
Quotient :: toric
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ S^2, A * B^-1, (A, Z), (S * Z)^2, Z^-1 * A * Z * B^-1, S * B * S * A, B^-1 * Z * A * Z^-1, Z^3 * B^-1 * Z * A^-2, Z * B^-1 * Z * B^-1 * Z^2 * A^-1, A^3 * B * A^3, Z^-1 * B^-1 * Z^-1 * A^-1 * Z^-1 * B^-1 * A^-1 * Z^-1 ]
Map::
	R = (1, 30, 58, 86, 2, 34, 62, 90, 6, 42, 70, 98, 14, 47, 75, 103, 19, 56, 84, 112, 28, 51, 79, 107, 23, 40, 68, 96, 12, 33, 61, 89, 5, 36, 64, 92, 8, 44, 72, 100, 16, 48, 76, 104, 20, 37, 65, 93, 9, 45, 73, 101, 17, 55, 83, 111, 27, 52, 80, 108, 24, 41, 69, 97, 13, 46, 74, 102, 18, 49, 77, 105, 21, 38, 66, 94, 10, 31, 59, 87, 3, 35, 63, 91, 7, 43, 71, 99, 15, 54, 82, 110, 26, 53, 81, 109, 25, 50, 78, 106, 22, 39, 67, 95, 11, 32, 60, 88, 4, 29, 57, 85)
	L = (1, 59)(2, 63)(3, 65)(4, 66)(5, 57)(6, 71)(7, 73)(8, 58)(9, 75)(10, 76)(11, 77)(12, 60)(13, 61)(14, 82)(15, 83)(16, 62)(17, 84)(18, 64)(19, 81)(20, 70)(21, 72)(22, 74)(23, 67)(24, 68)(25, 69)(26, 80)(27, 79)(28, 78)(29, 89)(30, 92)(31, 85)(32, 96)(33, 97)(34, 100)(35, 86)(36, 102)(37, 87)(38, 88)(39, 107)(40, 108)(41, 109)(42, 104)(43, 90)(44, 105)(45, 91)(46, 106)(47, 93)(48, 94)(49, 95)(50, 112)(51, 111)(52, 110)(53, 103)(54, 98)(55, 99)(56, 101)
	local type(s) :: { ( 112^112 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 56 f = 1
	degree seq :: [ 112 ]

E28.6 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {28, 28})
Quotient :: toric
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ S^2, A * B^-1, A^-1 * Z * B * Z^-1, Z^-1 * B * Z * A^-1, S * A * S * B, (S * Z)^2, Z^-3 * A * Z^-1 * B, A^3 * B * A^3, A * B * Z * A * Z * A^2 * Z^2 ]
Map::
	R = (1, 30, 58, 86, 2, 34, 62, 90, 6, 42, 70, 98, 14, 37, 65, 93, 9, 45, 73, 101, 17, 52, 80, 108, 24, 56, 84, 112, 28, 50, 78, 106, 22, 54, 82, 110, 26, 48, 76, 104, 20, 40, 68, 96, 12, 33, 61, 89, 5, 36, 64, 92, 8, 44, 72, 100, 16, 38, 66, 94, 10, 31, 59, 87, 3, 35, 63, 91, 7, 43, 71, 99, 15, 51, 79, 107, 23, 47, 75, 103, 19, 53, 81, 109, 25, 55, 83, 111, 27, 49, 77, 105, 21, 41, 69, 97, 13, 46, 74, 102, 18, 39, 67, 95, 11, 32, 60, 88, 4, 29, 57, 85)
	L = (1, 59)(2, 63)(3, 65)(4, 66)(5, 57)(6, 71)(7, 73)(8, 58)(9, 75)(10, 70)(11, 72)(12, 60)(13, 61)(14, 79)(15, 80)(16, 62)(17, 81)(18, 64)(19, 78)(20, 67)(21, 68)(22, 69)(23, 84)(24, 83)(25, 82)(26, 74)(27, 76)(28, 77)(29, 89)(30, 92)(31, 85)(32, 96)(33, 97)(34, 100)(35, 86)(36, 102)(37, 87)(38, 88)(39, 104)(40, 105)(41, 106)(42, 94)(43, 90)(44, 95)(45, 91)(46, 110)(47, 93)(48, 111)(49, 112)(50, 103)(51, 98)(52, 99)(53, 101)(54, 109)(55, 108)(56, 107)
	local type(s) :: { ( 112^112 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 56 f = 1
	degree seq :: [ 112 ]

E28.7 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {28, 28})
Quotient :: toric
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ S^2, A^-1 * B, (S * Z)^2, S * A * S * B, (Z^-1, A), Z^-4 * A^-2, A^3 * B * A^3 ]
Map::
	R = (1, 30, 58, 86, 2, 34, 62, 90, 6, 42, 70, 98, 14, 41, 69, 97, 13, 46, 74, 102, 18, 52, 80, 108, 24, 55, 83, 111, 27, 47, 75, 103, 19, 53, 81, 109, 25, 49, 77, 105, 21, 38, 66, 94, 10, 31, 59, 87, 3, 35, 63, 91, 7, 43, 71, 99, 15, 40, 68, 96, 12, 33, 61, 89, 5, 36, 64, 92, 8, 44, 72, 100, 16, 51, 79, 107, 23, 50, 78, 106, 22, 54, 82, 110, 26, 56, 84, 112, 28, 48, 76, 104, 20, 37, 65, 93, 9, 45, 73, 101, 17, 39, 67, 95, 11, 32, 60, 88, 4, 29, 57, 85)
	L = (1, 59)(2, 63)(3, 65)(4, 66)(5, 57)(6, 71)(7, 73)(8, 58)(9, 75)(10, 76)(11, 77)(12, 60)(13, 61)(14, 68)(15, 67)(16, 62)(17, 81)(18, 64)(19, 78)(20, 83)(21, 84)(22, 69)(23, 70)(24, 72)(25, 82)(26, 74)(27, 79)(28, 80)(29, 89)(30, 92)(31, 85)(32, 96)(33, 97)(34, 100)(35, 86)(36, 102)(37, 87)(38, 88)(39, 99)(40, 98)(41, 106)(42, 107)(43, 90)(44, 108)(45, 91)(46, 110)(47, 93)(48, 94)(49, 95)(50, 103)(51, 111)(52, 112)(53, 101)(54, 109)(55, 104)(56, 105)
	local type(s) :: { ( 112^112 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 56 f = 1
	degree seq :: [ 112 ]

E28.8 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {28, 28})
Quotient :: toric
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, S * B * S * A, (S * Z)^2, (A^-1, Z^-1), A * Z^4, A^7, A^2 * Z^-1 * A * B * A^3 * Z, Z * A^-1 * B^-1 * A^-1 * Z * B^-1 * A^-1 * Z^2 * A^-1 ]
Map::
	R = (1, 30, 58, 86, 2, 34, 62, 90, 6, 40, 68, 96, 12, 33, 61, 89, 5, 36, 64, 92, 8, 42, 70, 98, 14, 48, 76, 104, 20, 41, 69, 97, 13, 44, 72, 100, 16, 50, 78, 106, 22, 55, 83, 111, 27, 49, 77, 105, 21, 52, 80, 108, 24, 56, 84, 112, 28, 53, 81, 109, 25, 45, 73, 101, 17, 51, 79, 107, 23, 54, 82, 110, 26, 46, 74, 102, 18, 37, 65, 93, 9, 43, 71, 99, 15, 47, 75, 103, 19, 38, 66, 94, 10, 31, 59, 87, 3, 35, 63, 91, 7, 39, 67, 95, 11, 32, 60, 88, 4, 29, 57, 85)
	L = (1, 59)(2, 63)(3, 65)(4, 66)(5, 57)(6, 67)(7, 71)(8, 58)(9, 73)(10, 74)(11, 75)(12, 60)(13, 61)(14, 62)(15, 79)(16, 64)(17, 77)(18, 81)(19, 82)(20, 68)(21, 69)(22, 70)(23, 80)(24, 72)(25, 83)(26, 84)(27, 76)(28, 78)(29, 89)(30, 92)(31, 85)(32, 96)(33, 97)(34, 98)(35, 86)(36, 100)(37, 87)(38, 88)(39, 90)(40, 104)(41, 105)(42, 106)(43, 91)(44, 108)(45, 93)(46, 94)(47, 95)(48, 111)(49, 101)(50, 112)(51, 99)(52, 107)(53, 102)(54, 103)(55, 109)(56, 110)
	local type(s) :: { ( 112^112 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 56 f = 1
	degree seq :: [ 112 ]

E28.9 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {28, 28})
Quotient :: toric
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, B^-1 * A, (A^-1, Z^-1), S * A * S * B, (S * Z)^2, Z^2 * B^-1 * Z^2, B^7, A^7, A^-2 * B^-1 * A^-3 * B^-1 ]
Map::
	R = (1, 30, 58, 86, 2, 34, 62, 90, 6, 38, 66, 94, 10, 31, 59, 87, 3, 35, 63, 91, 7, 42, 70, 98, 14, 46, 74, 102, 18, 37, 65, 93, 9, 43, 71, 99, 15, 50, 78, 106, 22, 53, 81, 109, 25, 45, 73, 101, 17, 51, 79, 107, 23, 56, 84, 112, 28, 55, 83, 111, 27, 49, 77, 105, 21, 52, 80, 108, 24, 54, 82, 110, 26, 48, 76, 104, 20, 41, 69, 97, 13, 44, 72, 100, 16, 47, 75, 103, 19, 40, 68, 96, 12, 33, 61, 89, 5, 36, 64, 92, 8, 39, 67, 95, 11, 32, 60, 88, 4, 29, 57, 85)
	L = (1, 59)(2, 63)(3, 65)(4, 66)(5, 57)(6, 70)(7, 71)(8, 58)(9, 73)(10, 74)(11, 62)(12, 60)(13, 61)(14, 78)(15, 79)(16, 64)(17, 77)(18, 81)(19, 67)(20, 68)(21, 69)(22, 84)(23, 80)(24, 72)(25, 83)(26, 75)(27, 76)(28, 82)(29, 89)(30, 92)(31, 85)(32, 96)(33, 97)(34, 95)(35, 86)(36, 100)(37, 87)(38, 88)(39, 103)(40, 104)(41, 105)(42, 90)(43, 91)(44, 108)(45, 93)(46, 94)(47, 110)(48, 111)(49, 101)(50, 98)(51, 99)(52, 107)(53, 102)(54, 112)(55, 109)(56, 106)
	local type(s) :: { ( 112^112 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 56 f = 1
	degree seq :: [ 112 ]

E28.10 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {28, 28})
Quotient :: toric
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, Z^2 * A^-1, (S * Z)^2, S * A * S * B, A^14 ]
Map::
	R = (1, 30, 58, 86, 2, 31, 59, 87, 3, 34, 62, 90, 6, 35, 63, 91, 7, 38, 66, 94, 10, 39, 67, 95, 11, 42, 70, 98, 14, 43, 71, 99, 15, 46, 74, 102, 18, 47, 75, 103, 19, 50, 78, 106, 22, 51, 79, 107, 23, 54, 82, 110, 26, 55, 83, 111, 27, 56, 84, 112, 28, 53, 81, 109, 25, 52, 80, 108, 24, 49, 77, 105, 21, 48, 76, 104, 20, 45, 73, 101, 17, 44, 72, 100, 16, 41, 69, 97, 13, 40, 68, 96, 12, 37, 65, 93, 9, 36, 64, 92, 8, 33, 61, 89, 5, 32, 60, 88, 4, 29, 57, 85)
	L = (1, 59)(2, 62)(3, 63)(4, 58)(5, 57)(6, 66)(7, 67)(8, 60)(9, 61)(10, 70)(11, 71)(12, 64)(13, 65)(14, 74)(15, 75)(16, 68)(17, 69)(18, 78)(19, 79)(20, 72)(21, 73)(22, 82)(23, 83)(24, 76)(25, 77)(26, 84)(27, 81)(28, 80)(29, 89)(30, 88)(31, 85)(32, 92)(33, 93)(34, 86)(35, 87)(36, 96)(37, 97)(38, 90)(39, 91)(40, 100)(41, 101)(42, 94)(43, 95)(44, 104)(45, 105)(46, 98)(47, 99)(48, 108)(49, 109)(50, 102)(51, 103)(52, 112)(53, 111)(54, 106)(55, 107)(56, 110)
	local type(s) :: { ( 112^112 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 56 f = 1
	degree seq :: [ 112 ]

E28.11 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {28, 28})
Quotient :: toric
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A, A * Z^2, (S * Z)^2, S * A * S * B, A^14 ]
Map::
	R = (1, 30, 58, 86, 2, 33, 61, 89, 5, 34, 62, 90, 6, 37, 65, 93, 9, 38, 66, 94, 10, 41, 69, 97, 13, 42, 70, 98, 14, 45, 73, 101, 17, 46, 74, 102, 18, 49, 77, 105, 21, 50, 78, 106, 22, 53, 81, 109, 25, 54, 82, 110, 26, 55, 83, 111, 27, 56, 84, 112, 28, 51, 79, 107, 23, 52, 80, 108, 24, 47, 75, 103, 19, 48, 76, 104, 20, 43, 71, 99, 15, 44, 72, 100, 16, 39, 67, 95, 11, 40, 68, 96, 12, 35, 63, 91, 7, 36, 64, 92, 8, 31, 59, 87, 3, 32, 60, 88, 4, 29, 57, 85)
	L = (1, 59)(2, 60)(3, 63)(4, 64)(5, 57)(6, 58)(7, 67)(8, 68)(9, 61)(10, 62)(11, 71)(12, 72)(13, 65)(14, 66)(15, 75)(16, 76)(17, 69)(18, 70)(19, 79)(20, 80)(21, 73)(22, 74)(23, 83)(24, 84)(25, 77)(26, 78)(27, 81)(28, 82)(29, 89)(30, 90)(31, 85)(32, 86)(33, 93)(34, 94)(35, 87)(36, 88)(37, 97)(38, 98)(39, 91)(40, 92)(41, 101)(42, 102)(43, 95)(44, 96)(45, 105)(46, 106)(47, 99)(48, 100)(49, 109)(50, 110)(51, 103)(52, 104)(53, 111)(54, 112)(55, 107)(56, 108)
	local type(s) :: { ( 112^112 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 56 f = 1
	degree seq :: [ 112 ]

E28.12 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {28, 28})
Quotient :: toric
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ S^2, A^-1 * B, (A, Z), (S * Z)^2, Z^-1 * A * Z * B^-1, S * B * S * A, Z^-1 * B * Z * A^-1, B^-2 * Z * B^-3 * Z, Z^-1 * B * Z^-1 * A^4, Z^5 * B^-1 * Z, Z^-1 * B^-1 * Z^-1 * A^-1 * Z^-1 * B^-1 * A^-1 * Z^-1 ]
Map::
	R = (1, 30, 58, 86, 2, 34, 62, 90, 6, 42, 70, 98, 14, 49, 77, 105, 21, 38, 66, 94, 10, 31, 59, 87, 3, 35, 63, 91, 7, 43, 71, 99, 15, 54, 82, 110, 26, 53, 81, 109, 25, 48, 76, 104, 20, 37, 65, 93, 9, 45, 73, 101, 17, 55, 83, 111, 27, 52, 80, 108, 24, 41, 69, 97, 13, 46, 74, 102, 18, 47, 75, 103, 19, 56, 84, 112, 28, 51, 79, 107, 23, 40, 68, 96, 12, 33, 61, 89, 5, 36, 64, 92, 8, 44, 72, 100, 16, 50, 78, 106, 22, 39, 67, 95, 11, 32, 60, 88, 4, 29, 57, 85)
	L = (1, 59)(2, 63)(3, 65)(4, 66)(5, 57)(6, 71)(7, 73)(8, 58)(9, 75)(10, 76)(11, 77)(12, 60)(13, 61)(14, 82)(15, 83)(16, 62)(17, 84)(18, 64)(19, 72)(20, 74)(21, 81)(22, 70)(23, 67)(24, 68)(25, 69)(26, 80)(27, 79)(28, 78)(29, 89)(30, 92)(31, 85)(32, 96)(33, 97)(34, 100)(35, 86)(36, 102)(37, 87)(38, 88)(39, 107)(40, 108)(41, 109)(42, 106)(43, 90)(44, 103)(45, 91)(46, 104)(47, 93)(48, 94)(49, 95)(50, 112)(51, 111)(52, 110)(53, 105)(54, 98)(55, 99)(56, 101)
	local type(s) :: { ( 112^112 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 56 f = 1
	degree seq :: [ 112 ]

E28.13 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {28, 28})
Quotient :: toric
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ S^2, A * B^-1, B^-1 * A, (A, Z), S * B * S * A, (S * Z)^2, A^-1 * Z * B^-1 * A^-1 * Z, Z^-4 * A^-1 * Z^-1 * A^-1 * Z^-3 ]
Map::
	R = (1, 30, 58, 86, 2, 34, 62, 90, 6, 42, 70, 98, 14, 48, 76, 104, 20, 54, 82, 110, 26, 53, 81, 109, 25, 47, 75, 103, 19, 41, 69, 97, 13, 38, 66, 94, 10, 31, 59, 87, 3, 35, 63, 91, 7, 43, 71, 99, 15, 49, 77, 105, 21, 55, 83, 111, 27, 52, 80, 108, 24, 46, 74, 102, 18, 40, 68, 96, 12, 33, 61, 89, 5, 36, 64, 92, 8, 37, 65, 93, 9, 44, 72, 100, 16, 50, 78, 106, 22, 56, 84, 112, 28, 51, 79, 107, 23, 45, 73, 101, 17, 39, 67, 95, 11, 32, 60, 88, 4, 29, 57, 85)
	L = (1, 59)(2, 63)(3, 65)(4, 66)(5, 57)(6, 71)(7, 72)(8, 58)(9, 62)(10, 64)(11, 69)(12, 60)(13, 61)(14, 77)(15, 78)(16, 70)(17, 75)(18, 67)(19, 68)(20, 83)(21, 84)(22, 76)(23, 81)(24, 73)(25, 74)(26, 80)(27, 79)(28, 82)(29, 89)(30, 92)(31, 85)(32, 96)(33, 97)(34, 93)(35, 86)(36, 94)(37, 87)(38, 88)(39, 102)(40, 103)(41, 95)(42, 100)(43, 90)(44, 91)(45, 108)(46, 109)(47, 101)(48, 106)(49, 98)(50, 99)(51, 111)(52, 110)(53, 107)(54, 112)(55, 104)(56, 105)
	local type(s) :: { ( 112^112 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 56 f = 1
	degree seq :: [ 112 ]

E28.14 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {28, 28})
Quotient :: toric
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, S * B * S * A, (A, Z^-1), (S * Z)^2, B^3 * Z^2, B^2 * Z^-8, (Z^-4 * A)^2 ]
Map::
	R = (1, 30, 58, 86, 2, 34, 62, 90, 6, 42, 70, 98, 14, 48, 76, 104, 20, 54, 82, 110, 26, 51, 79, 107, 23, 45, 73, 101, 17, 37, 65, 93, 9, 40, 68, 96, 12, 33, 61, 89, 5, 36, 64, 92, 8, 43, 71, 99, 15, 49, 77, 105, 21, 55, 83, 111, 27, 52, 80, 108, 24, 46, 74, 102, 18, 38, 66, 94, 10, 31, 59, 87, 3, 35, 63, 91, 7, 41, 69, 97, 13, 44, 72, 100, 16, 50, 78, 106, 22, 56, 84, 112, 28, 53, 81, 109, 25, 47, 75, 103, 19, 39, 67, 95, 11, 32, 60, 88, 4, 29, 57, 85)
	L = (1, 59)(2, 63)(3, 65)(4, 66)(5, 57)(6, 69)(7, 68)(8, 58)(9, 67)(10, 73)(11, 74)(12, 60)(13, 61)(14, 72)(15, 62)(16, 64)(17, 75)(18, 79)(19, 80)(20, 78)(21, 70)(22, 71)(23, 81)(24, 82)(25, 83)(26, 84)(27, 76)(28, 77)(29, 89)(30, 92)(31, 85)(32, 96)(33, 97)(34, 99)(35, 86)(36, 100)(37, 87)(38, 88)(39, 93)(40, 91)(41, 90)(42, 105)(43, 106)(44, 98)(45, 94)(46, 95)(47, 101)(48, 111)(49, 112)(50, 104)(51, 102)(52, 103)(53, 107)(54, 108)(55, 109)(56, 110)
	local type(s) :: { ( 112^112 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 56 f = 1
	degree seq :: [ 112 ]

E28.15 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {10, 10})
Quotient :: toric
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ A^2, S^2, B^2, A * B, S * A * S * B, (S * Z)^2, A * Z^-2 * A * Z^2, A * Z^-1 * B * Z^-1 * A * Z^-3, Z^10 ]
Map::
	R = (1, 32, 62, 92, 2, 35, 65, 95, 5, 41, 71, 101, 11, 50, 80, 110, 20, 58, 88, 118, 28, 57, 87, 117, 27, 49, 79, 109, 19, 40, 70, 100, 10, 34, 64, 94, 4, 31, 61, 91)(3, 37, 67, 97, 7, 42, 72, 102, 12, 52, 82, 112, 22, 59, 89, 119, 29, 54, 84, 114, 24, 60, 90, 120, 30, 53, 83, 113, 23, 47, 77, 107, 17, 38, 68, 98, 8, 33, 63, 93)(6, 43, 73, 103, 13, 51, 81, 111, 21, 46, 76, 106, 16, 56, 86, 116, 26, 45, 75, 105, 15, 55, 85, 115, 25, 48, 78, 108, 18, 39, 69, 99, 9, 44, 74, 104, 14, 36, 66, 96)
	L = (1, 63)(2, 66)(3, 61)(4, 69)(5, 72)(6, 62)(7, 75)(8, 76)(9, 64)(10, 77)(11, 81)(12, 65)(13, 83)(14, 84)(15, 67)(16, 68)(17, 70)(18, 82)(19, 85)(20, 89)(21, 71)(22, 78)(23, 73)(24, 74)(25, 79)(26, 88)(27, 90)(28, 86)(29, 80)(30, 87)(31, 93)(32, 96)(33, 91)(34, 99)(35, 102)(36, 92)(37, 105)(38, 106)(39, 94)(40, 107)(41, 111)(42, 95)(43, 113)(44, 114)(45, 97)(46, 98)(47, 100)(48, 112)(49, 115)(50, 119)(51, 101)(52, 108)(53, 103)(54, 104)(55, 109)(56, 118)(57, 120)(58, 116)(59, 110)(60, 117)
	local type(s) :: { ( 40^40 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 3 e = 60 f = 3
	degree seq :: [ 40^3 ]

E28.16 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {10, 10})
Quotient :: toric
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ S^2, B * A, A * B^-2, (S * Z)^2, S * A * S * B, B * Z * A^-1 * Z^-1, Z^-1 * A^-1 * Z * B, Z^10 ]
Map:: non-degenerate
	R = (1, 32, 62, 92, 2, 36, 66, 96, 6, 42, 72, 102, 12, 48, 78, 108, 18, 54, 84, 114, 24, 53, 83, 113, 23, 47, 77, 107, 17, 41, 71, 101, 11, 35, 65, 95, 5, 31, 61, 91)(3, 38, 68, 98, 8, 43, 73, 103, 13, 50, 80, 110, 20, 55, 85, 115, 25, 60, 90, 120, 30, 57, 87, 117, 27, 51, 81, 111, 21, 45, 75, 105, 15, 39, 69, 99, 9, 33, 63, 93)(4, 37, 67, 97, 7, 44, 74, 104, 14, 49, 79, 109, 19, 56, 86, 116, 26, 59, 89, 119, 29, 58, 88, 118, 28, 52, 82, 112, 22, 46, 76, 106, 16, 40, 70, 100, 10, 34, 64, 94)
	L = (1, 63)(2, 67)(3, 64)(4, 61)(5, 70)(6, 73)(7, 68)(8, 62)(9, 65)(10, 69)(11, 75)(12, 79)(13, 74)(14, 66)(15, 76)(16, 71)(17, 82)(18, 85)(19, 80)(20, 72)(21, 77)(22, 81)(23, 87)(24, 89)(25, 86)(26, 78)(27, 88)(28, 83)(29, 90)(30, 84)(31, 93)(32, 97)(33, 94)(34, 91)(35, 100)(36, 103)(37, 98)(38, 92)(39, 95)(40, 99)(41, 105)(42, 109)(43, 104)(44, 96)(45, 106)(46, 101)(47, 112)(48, 115)(49, 110)(50, 102)(51, 107)(52, 111)(53, 117)(54, 119)(55, 116)(56, 108)(57, 118)(58, 113)(59, 120)(60, 114)
	local type(s) :: { ( 40^40 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 3 e = 60 f = 3
	degree seq :: [ 40^3 ]

E28.17 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {10, 10})
Quotient :: toric
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ S^2, A^-1 * B, (S * Z)^2, B^-1 * Z^2 * B^-1, S * B * S * A, A * Z * B^-1 * Z * A^-1 * Z^-1, A^-1 * Z^-1 * A^2 * Z * A^-1, B^-2 * A^-1 * Z^-1 * A^-1 * Z^-1 * A^-1 * Z^-3, Z * A * Z^-5 * A * Z * A ]
Map::
	R = (1, 32, 62, 92, 2, 36, 66, 96, 6, 44, 74, 104, 14, 52, 82, 112, 22, 58, 88, 118, 28, 55, 85, 115, 25, 49, 79, 109, 19, 41, 71, 101, 11, 34, 64, 94, 4, 31, 61, 91)(3, 39, 69, 99, 9, 45, 75, 105, 15, 54, 84, 114, 24, 59, 89, 119, 29, 57, 87, 117, 27, 50, 80, 110, 20, 43, 73, 103, 13, 35, 65, 95, 5, 40, 70, 100, 10, 33, 63, 93)(7, 46, 76, 106, 16, 53, 83, 113, 23, 60, 90, 120, 30, 56, 86, 116, 26, 51, 81, 111, 21, 42, 72, 102, 12, 48, 78, 108, 18, 38, 68, 98, 8, 47, 77, 107, 17, 37, 67, 97)
	L = (1, 63)(2, 67)(3, 66)(4, 68)(5, 61)(6, 75)(7, 74)(8, 62)(9, 76)(10, 77)(11, 65)(12, 64)(13, 78)(14, 83)(15, 82)(16, 84)(17, 69)(18, 70)(19, 72)(20, 71)(21, 73)(22, 89)(23, 88)(24, 90)(25, 80)(26, 79)(27, 81)(28, 86)(29, 85)(30, 87)(31, 95)(32, 98)(33, 91)(34, 102)(35, 101)(36, 93)(37, 92)(38, 94)(39, 107)(40, 108)(41, 110)(42, 109)(43, 111)(44, 97)(45, 96)(46, 99)(47, 100)(48, 103)(49, 116)(50, 115)(51, 117)(52, 105)(53, 104)(54, 106)(55, 119)(56, 118)(57, 120)(58, 113)(59, 112)(60, 114)
	local type(s) :: { ( 40^40 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 3 e = 60 f = 3
	degree seq :: [ 40^3 ]

E28.18 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {10, 10})
Quotient :: toric
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A, A^2 * Z^2, (S * Z)^2, S * B * S * A, Z^-1 * A * Z^-1 * A^-1 * Z * A^-1, A^-1 * Z^-1 * B * Z * A^-1 * Z^-1, Z^2 * B^-1 * Z^-2 * B, A^2 * Z^-8 ]
Map::
	R = (1, 32, 62, 92, 2, 36, 66, 96, 6, 44, 74, 104, 14, 52, 82, 112, 22, 58, 88, 118, 28, 55, 85, 115, 25, 50, 80, 110, 20, 40, 70, 100, 10, 34, 64, 94, 4, 31, 61, 91)(3, 39, 69, 99, 9, 35, 65, 95, 5, 43, 73, 103, 13, 45, 75, 105, 15, 54, 84, 114, 24, 59, 89, 119, 29, 56, 86, 116, 26, 49, 79, 109, 19, 41, 71, 101, 11, 33, 63, 93)(7, 46, 76, 106, 16, 38, 68, 98, 8, 48, 78, 108, 18, 53, 83, 113, 23, 60, 90, 120, 30, 57, 87, 117, 27, 51, 81, 111, 21, 42, 72, 102, 12, 47, 77, 107, 17, 37, 67, 97)
	L = (1, 63)(2, 67)(3, 70)(4, 72)(5, 61)(6, 65)(7, 64)(8, 62)(9, 77)(10, 79)(11, 81)(12, 80)(13, 76)(14, 68)(15, 66)(16, 69)(17, 71)(18, 73)(19, 85)(20, 87)(21, 86)(22, 75)(23, 74)(24, 78)(25, 89)(26, 90)(27, 88)(28, 83)(29, 82)(30, 84)(31, 95)(32, 98)(33, 91)(34, 97)(35, 96)(36, 105)(37, 92)(38, 104)(39, 106)(40, 93)(41, 107)(42, 94)(43, 108)(44, 113)(45, 112)(46, 103)(47, 99)(48, 114)(49, 100)(50, 102)(51, 101)(52, 119)(53, 118)(54, 120)(55, 109)(56, 111)(57, 110)(58, 117)(59, 115)(60, 116)
	local type(s) :: { ( 40^40 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 3 e = 60 f = 3
	degree seq :: [ 40^3 ]

E28.19 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {10, 10})
Quotient :: toric
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ S^2, A * B^-1, B^-1 * A, B^-1 * A, A^2 * B^-2, (S * Z)^2, S * B * S * A, A * B * Z^-1 * A^2 * Z^-1, A^-1 * Z^-1 * B * Z^-1 * A * Z^-1, (Z^-1 * A^-1 * Z^-1)^2, Z^-1 * A^4 * Z^-1, A * Z^-1 * B^-2 * Z * A, A * Z^2 * A^-1 * Z^-2 ]
Map::
	R = (1, 32, 62, 92, 2, 36, 66, 96, 6, 48, 78, 108, 18, 47, 77, 107, 17, 56, 86, 116, 26, 40, 70, 100, 10, 52, 82, 112, 22, 43, 73, 103, 13, 34, 64, 94, 4, 31, 61, 91)(3, 39, 69, 99, 9, 49, 79, 109, 19, 46, 76, 106, 16, 35, 65, 95, 5, 45, 75, 105, 15, 50, 80, 110, 20, 60, 90, 120, 30, 58, 88, 118, 28, 41, 71, 101, 11, 33, 63, 93)(7, 51, 81, 111, 21, 44, 74, 104, 14, 55, 85, 115, 25, 38, 68, 98, 8, 54, 84, 114, 24, 59, 89, 119, 29, 57, 87, 117, 27, 42, 72, 102, 12, 53, 83, 113, 23, 37, 67, 97)
	L = (1, 63)(2, 67)(3, 70)(4, 72)(5, 61)(6, 79)(7, 82)(8, 62)(9, 85)(10, 80)(11, 81)(12, 86)(13, 88)(14, 64)(15, 87)(16, 84)(17, 65)(18, 74)(19, 73)(20, 66)(21, 75)(22, 89)(23, 76)(24, 71)(25, 90)(26, 68)(27, 69)(28, 77)(29, 78)(30, 83)(31, 95)(32, 98)(33, 91)(34, 104)(35, 107)(36, 110)(37, 92)(38, 116)(39, 117)(40, 93)(41, 114)(42, 94)(43, 109)(44, 108)(45, 111)(46, 113)(47, 118)(48, 119)(49, 96)(50, 100)(51, 101)(52, 97)(53, 120)(54, 106)(55, 99)(56, 102)(57, 105)(58, 103)(59, 112)(60, 115)
	local type(s) :: { ( 40^40 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 3 e = 60 f = 3
	degree seq :: [ 40^3 ]

E28.20 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {10, 10})
Quotient :: toric
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A, S * A * S * B, (S * Z)^2, A * Z^-1 * A^-1 * Z^-1 * A^-1 * Z^-1, (A * Z^-2)^2, A * Z^-1 * B * Z^-1 * A * Z, Z^-2 * A^2 * Z^-2, A * Z^2 * A^-1 * Z^-2, A^-1 * Z^-2 * A^-3 ]
Map::
	R = (1, 32, 62, 92, 2, 36, 66, 96, 6, 48, 78, 108, 18, 40, 70, 100, 10, 52, 82, 112, 22, 47, 77, 107, 17, 56, 86, 116, 26, 43, 73, 103, 13, 34, 64, 94, 4, 31, 61, 91)(3, 39, 69, 99, 9, 49, 79, 109, 19, 60, 90, 120, 30, 58, 88, 118, 28, 46, 76, 106, 16, 35, 65, 95, 5, 45, 75, 105, 15, 50, 80, 110, 20, 41, 71, 101, 11, 33, 63, 93)(7, 51, 81, 111, 21, 59, 89, 119, 29, 57, 87, 117, 27, 44, 74, 104, 14, 55, 85, 115, 25, 38, 68, 98, 8, 54, 84, 114, 24, 42, 72, 102, 12, 53, 83, 113, 23, 37, 67, 97)
	L = (1, 63)(2, 67)(3, 70)(4, 72)(5, 61)(6, 79)(7, 82)(8, 62)(9, 84)(10, 88)(11, 85)(12, 78)(13, 80)(14, 64)(15, 87)(16, 81)(17, 65)(18, 89)(19, 77)(20, 66)(21, 71)(22, 74)(23, 75)(24, 76)(25, 90)(26, 68)(27, 69)(28, 73)(29, 86)(30, 83)(31, 95)(32, 98)(33, 91)(34, 104)(35, 107)(36, 110)(37, 92)(38, 116)(39, 117)(40, 93)(41, 111)(42, 94)(43, 118)(44, 112)(45, 113)(46, 114)(47, 109)(48, 102)(49, 96)(50, 103)(51, 106)(52, 97)(53, 120)(54, 99)(55, 101)(56, 119)(57, 105)(58, 100)(59, 108)(60, 115)
	local type(s) :: { ( 40^40 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 3 e = 60 f = 3
	degree seq :: [ 40^3 ]

E28.21 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {10, 10})
Quotient :: toric
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ S^2, (B^-1, A^-1), B * Z^-2 * A, (A * Z^-1)^2, B^-1 * Z * A * Z^-1, (S * Z)^2, Z * A^-1 * B^-1 * Z, Z * B * Z^-1 * A^-1, S * A * S * B, B * A * B^3, A^2 * Z * B * Z, A^-1 * B^2 * A^-1 * B * A^-1 ]
Map:: non-degenerate
	R = (1, 32, 62, 92, 2, 38, 68, 98, 8, 52, 82, 112, 22, 58, 88, 118, 28, 60, 90, 120, 30, 57, 87, 117, 27, 59, 89, 119, 29, 47, 77, 107, 17, 35, 65, 95, 5, 31, 61, 91)(3, 40, 70, 100, 10, 50, 80, 110, 20, 56, 86, 116, 26, 46, 76, 106, 16, 53, 83, 113, 23, 45, 75, 105, 15, 48, 78, 108, 18, 37, 67, 97, 7, 41, 71, 101, 11, 33, 63, 93)(4, 39, 69, 99, 9, 51, 81, 111, 21, 55, 85, 115, 25, 44, 74, 104, 14, 54, 84, 114, 24, 43, 73, 103, 13, 49, 79, 109, 19, 36, 66, 96, 6, 42, 72, 102, 12, 34, 64, 94)
	L = (1, 63)(2, 69)(3, 73)(4, 68)(5, 72)(6, 61)(7, 74)(8, 80)(9, 78)(10, 82)(11, 62)(12, 83)(13, 77)(14, 87)(15, 81)(16, 64)(17, 67)(18, 65)(19, 86)(20, 66)(21, 88)(22, 85)(23, 89)(24, 70)(25, 71)(26, 90)(27, 75)(28, 76)(29, 79)(30, 84)(31, 97)(32, 102)(33, 104)(34, 91)(35, 109)(36, 107)(37, 111)(38, 93)(39, 113)(40, 92)(41, 95)(42, 116)(43, 117)(44, 118)(45, 94)(46, 96)(47, 105)(48, 119)(49, 100)(50, 103)(51, 98)(52, 99)(53, 120)(54, 101)(55, 108)(56, 112)(57, 106)(58, 110)(59, 114)(60, 115)
	local type(s) :: { ( 40^40 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 3 e = 60 f = 3
	degree seq :: [ 40^3 ]

E28.22 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {10, 10})
Quotient :: toric
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ S^2, Z^-1 * B^-1 * A^-1 * Z^-1, Z^-1 * A^-1 * B^-1 * Z^-1, S * A * S * B, (B^-1 * Z^-1)^2, (S * Z)^2, Z * A * Z^-1 * B^-1, B * Z^-1 * A^-1 * Z, B^-1 * A^-4, Z^-2 * B^3, A * B * A^-2 * B^-1 * A, B * A^-1 * B^2 * A^-2 ]
Map:: non-degenerate
	R = (1, 32, 62, 92, 2, 38, 68, 98, 8, 52, 82, 112, 22, 57, 87, 117, 27, 60, 90, 120, 30, 59, 89, 119, 29, 58, 88, 118, 28, 44, 74, 104, 14, 35, 65, 95, 5, 31, 61, 91)(3, 40, 70, 100, 10, 37, 67, 97, 7, 41, 71, 101, 11, 47, 77, 107, 17, 53, 83, 113, 23, 49, 79, 109, 19, 54, 84, 114, 24, 50, 80, 110, 20, 45, 75, 105, 15, 33, 63, 93)(4, 39, 69, 99, 9, 36, 66, 96, 6, 42, 72, 102, 12, 43, 73, 103, 13, 55, 85, 115, 25, 46, 76, 106, 16, 56, 86, 116, 26, 51, 81, 111, 21, 48, 78, 108, 18, 34, 64, 94)
	L = (1, 63)(2, 69)(3, 73)(4, 74)(5, 78)(6, 61)(7, 76)(8, 67)(9, 83)(10, 65)(11, 62)(12, 84)(13, 68)(14, 80)(15, 88)(16, 87)(17, 81)(18, 71)(19, 64)(20, 66)(21, 89)(22, 72)(23, 82)(24, 90)(25, 75)(26, 70)(27, 77)(28, 86)(29, 79)(30, 85)(31, 97)(32, 102)(33, 106)(34, 91)(35, 99)(36, 98)(37, 111)(38, 107)(39, 114)(40, 92)(41, 112)(42, 105)(43, 117)(44, 93)(45, 95)(46, 119)(47, 94)(48, 113)(49, 96)(50, 103)(51, 104)(52, 115)(53, 120)(54, 118)(55, 100)(56, 101)(57, 109)(58, 108)(59, 110)(60, 116)
	local type(s) :: { ( 40^40 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 3 e = 60 f = 3
	degree seq :: [ 40^3 ]

E28.23 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {10, 10})
Quotient :: toric
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ S^2, A^-1 * Z^-1 * B * Z, A * Z * B^-1 * Z^-1, (S * Z)^2, S * A * S * B, (B^-1, A^-1), Z * A * B^-2 * Z, B * A * B^3, B^-1 * A^-4, Z^-1 * A * B * Z^-3 ]
Map:: non-degenerate
	R = (1, 32, 62, 92, 2, 38, 68, 98, 8, 56, 86, 116, 26, 44, 74, 104, 14, 58, 88, 118, 28, 54, 84, 114, 24, 60, 90, 120, 30, 50, 80, 110, 20, 35, 65, 95, 5, 31, 61, 91)(3, 40, 70, 100, 10, 47, 77, 107, 17, 57, 87, 117, 27, 53, 83, 113, 23, 51, 81, 111, 21, 37, 67, 97, 7, 41, 71, 101, 11, 49, 79, 109, 19, 45, 75, 105, 15, 33, 63, 93)(4, 39, 69, 99, 9, 43, 73, 103, 13, 59, 89, 119, 29, 55, 85, 115, 25, 52, 82, 112, 22, 36, 66, 96, 6, 42, 72, 102, 12, 46, 76, 106, 16, 48, 78, 108, 18, 34, 64, 94)
	L = (1, 63)(2, 69)(3, 73)(4, 74)(5, 78)(6, 61)(7, 76)(8, 77)(9, 87)(10, 88)(11, 62)(12, 75)(13, 84)(14, 83)(15, 86)(16, 68)(17, 85)(18, 70)(19, 64)(20, 79)(21, 65)(22, 71)(23, 66)(24, 67)(25, 80)(26, 89)(27, 90)(28, 82)(29, 81)(30, 72)(31, 97)(32, 102)(33, 106)(34, 91)(35, 112)(36, 114)(37, 115)(38, 109)(39, 105)(40, 92)(41, 120)(42, 111)(43, 98)(44, 93)(45, 95)(46, 110)(47, 94)(48, 101)(49, 96)(50, 113)(51, 118)(52, 117)(53, 103)(54, 107)(55, 104)(56, 108)(57, 116)(58, 99)(59, 100)(60, 119)
	local type(s) :: { ( 40^40 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 3 e = 60 f = 3
	degree seq :: [ 40^3 ]

E28.24 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {10, 10})
Quotient :: toric
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ S^2, B * Z * A^-1 * Z^-1, S * B * S * A, (S * Z)^2, A * Z * B^-1 * Z^-1, (B^-1, A^-1), B * A^4, A * B^4, A * Z * B * Z * B^-1, Z^-1 * B^-2 * A * Z^-1, Z * A^-1 * Z * A^2, Z^10 ]
Map:: non-degenerate
	R = (1, 32, 62, 92, 2, 38, 68, 98, 8, 56, 86, 116, 26, 54, 84, 114, 24, 59, 89, 119, 29, 44, 74, 104, 14, 57, 87, 117, 27, 50, 80, 110, 20, 35, 65, 95, 5, 31, 61, 91)(3, 40, 70, 100, 10, 49, 79, 109, 19, 51, 81, 111, 21, 37, 67, 97, 7, 41, 71, 101, 11, 53, 83, 113, 23, 60, 90, 120, 30, 47, 77, 107, 17, 45, 75, 105, 15, 33, 63, 93)(4, 39, 69, 99, 9, 46, 76, 106, 16, 52, 82, 112, 22, 36, 66, 96, 6, 42, 72, 102, 12, 55, 85, 115, 25, 58, 88, 118, 28, 43, 73, 103, 13, 48, 78, 108, 18, 34, 64, 94)
	L = (1, 63)(2, 69)(3, 73)(4, 74)(5, 78)(6, 61)(7, 76)(8, 79)(9, 75)(10, 87)(11, 62)(12, 81)(13, 84)(14, 83)(15, 89)(16, 80)(17, 85)(18, 90)(19, 64)(20, 77)(21, 65)(22, 70)(23, 66)(24, 67)(25, 68)(26, 82)(27, 88)(28, 71)(29, 72)(30, 86)(31, 97)(32, 102)(33, 106)(34, 91)(35, 112)(36, 114)(37, 115)(38, 113)(39, 111)(40, 92)(41, 119)(42, 120)(43, 110)(44, 93)(45, 95)(46, 98)(47, 94)(48, 100)(49, 96)(50, 109)(51, 116)(52, 101)(53, 103)(54, 107)(55, 104)(56, 118)(57, 99)(58, 105)(59, 108)(60, 117)
	local type(s) :: { ( 40^40 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 3 e = 60 f = 3
	degree seq :: [ 40^3 ]

E28.25 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {10, 10})
Quotient :: toric
Aut^+ = C30 (small group id <30, 4>)
Aut   = C6 x D10 (small group id <60, 10>)
|r| :: 2
Presentation :: [ S^2, A * B, A * B^-2, S * B * S * A, (Z, B), (S * Z)^2, (Z, A^-1), Z^10 ]
Map:: non-degenerate
	R = (1, 32, 62, 92, 2, 36, 66, 96, 6, 42, 72, 102, 12, 48, 78, 108, 18, 54, 84, 114, 24, 53, 83, 113, 23, 47, 77, 107, 17, 41, 71, 101, 11, 35, 65, 95, 5, 31, 61, 91)(3, 37, 67, 97, 7, 43, 73, 103, 13, 49, 79, 109, 19, 55, 85, 115, 25, 59, 89, 119, 29, 57, 87, 117, 27, 51, 81, 111, 21, 45, 75, 105, 15, 39, 69, 99, 9, 33, 63, 93)(4, 38, 68, 98, 8, 44, 74, 104, 14, 50, 80, 110, 20, 56, 86, 116, 26, 60, 90, 120, 30, 58, 88, 118, 28, 52, 82, 112, 22, 46, 76, 106, 16, 40, 70, 100, 10, 34, 64, 94)
	L = (1, 63)(2, 67)(3, 64)(4, 61)(5, 69)(6, 73)(7, 68)(8, 62)(9, 70)(10, 65)(11, 75)(12, 79)(13, 74)(14, 66)(15, 76)(16, 71)(17, 81)(18, 85)(19, 80)(20, 72)(21, 82)(22, 77)(23, 87)(24, 89)(25, 86)(26, 78)(27, 88)(28, 83)(29, 90)(30, 84)(31, 93)(32, 97)(33, 94)(34, 91)(35, 99)(36, 103)(37, 98)(38, 92)(39, 100)(40, 95)(41, 105)(42, 109)(43, 104)(44, 96)(45, 106)(46, 101)(47, 111)(48, 115)(49, 110)(50, 102)(51, 112)(52, 107)(53, 117)(54, 119)(55, 116)(56, 108)(57, 118)(58, 113)(59, 120)(60, 114)
	local type(s) :: { ( 40^40 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 3 e = 60 f = 3
	degree seq :: [ 40^3 ]

E28.26 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {10, 10})
Quotient :: toric
Aut^+ = C30 (small group id <30, 4>)
Aut   = C6 x D10 (small group id <60, 10>)
|r| :: 2
Presentation :: [ S^2, A * B, (A^-1, Z), A * Z * B * Z^-1, Z^-1 * A * Z * B, A^-1 * Z^-1 * B^-1 * Z, (S * Z)^2, S * B * S * A, B^2 * A^-4, B * A^-1 * Z * B^2 * A^-2 * Z^-1, B * Z^-1 * A^-1 * Z^-1 * A^-1 * Z^-3, Z^-1 * B^-1 * Z^-1 * A * B^-1 * Z^-3 ]
Map:: non-degenerate
	R = (1, 32, 62, 92, 2, 36, 66, 96, 6, 44, 74, 104, 14, 55, 85, 115, 25, 49, 79, 109, 19, 60, 90, 120, 30, 54, 84, 114, 24, 43, 73, 103, 13, 35, 65, 95, 5, 31, 61, 91)(3, 37, 67, 97, 7, 45, 75, 105, 15, 56, 86, 116, 26, 52, 82, 112, 22, 41, 71, 101, 11, 48, 78, 108, 18, 59, 89, 119, 29, 51, 81, 111, 21, 40, 70, 100, 10, 33, 63, 93)(4, 38, 68, 98, 8, 46, 76, 106, 16, 57, 87, 117, 27, 50, 80, 110, 20, 39, 69, 99, 9, 47, 77, 107, 17, 58, 88, 118, 28, 53, 83, 113, 23, 42, 72, 102, 12, 34, 64, 94)
	L = (1, 63)(2, 67)(3, 69)(4, 61)(5, 70)(6, 75)(7, 77)(8, 62)(9, 79)(10, 80)(11, 64)(12, 65)(13, 81)(14, 86)(15, 88)(16, 66)(17, 90)(18, 68)(19, 71)(20, 85)(21, 87)(22, 72)(23, 73)(24, 89)(25, 82)(26, 83)(27, 74)(28, 84)(29, 76)(30, 78)(31, 93)(32, 97)(33, 99)(34, 91)(35, 100)(36, 105)(37, 107)(38, 92)(39, 109)(40, 110)(41, 94)(42, 95)(43, 111)(44, 116)(45, 118)(46, 96)(47, 120)(48, 98)(49, 101)(50, 115)(51, 117)(52, 102)(53, 103)(54, 119)(55, 112)(56, 113)(57, 104)(58, 114)(59, 106)(60, 108)
	local type(s) :: { ( 40^40 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 3 e = 60 f = 3
	degree seq :: [ 40^3 ]

E28.27 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {10, 10})
Quotient :: toric
Aut^+ = C30 (small group id <30, 4>)
Aut   = C6 x D10 (small group id <60, 10>)
|r| :: 2
Presentation :: [ S^2, Z^2 * A * B, B^-1 * Z^-1 * A^-1 * Z^-1, (Z^-1, A^-1), (B^-1, Z), (B^-1, A), Z^-1 * A^-1 * B^-1 * Z^-1, S * A * S * B, (S * Z)^2, B^4 * A, A^-1 * B^-1 * A^-3, A^-1 * B^2 * A^-2 * B ]
Map:: non-degenerate
	R = (1, 32, 62, 92, 2, 38, 68, 98, 8, 52, 82, 112, 22, 57, 87, 117, 27, 60, 90, 120, 30, 59, 89, 119, 29, 58, 88, 118, 28, 44, 74, 104, 14, 35, 65, 95, 5, 31, 61, 91)(3, 39, 69, 99, 9, 37, 67, 97, 7, 42, 72, 102, 12, 47, 77, 107, 17, 55, 85, 115, 25, 49, 79, 109, 19, 56, 86, 116, 26, 50, 80, 110, 20, 45, 75, 105, 15, 33, 63, 93)(4, 40, 70, 100, 10, 36, 66, 96, 6, 41, 71, 101, 11, 43, 73, 103, 13, 53, 83, 113, 23, 46, 76, 106, 16, 54, 84, 114, 24, 51, 81, 111, 21, 48, 78, 108, 18, 34, 64, 94)
	L = (1, 63)(2, 69)(3, 73)(4, 74)(5, 75)(6, 61)(7, 76)(8, 67)(9, 83)(10, 65)(11, 62)(12, 84)(13, 68)(14, 80)(15, 71)(16, 87)(17, 81)(18, 88)(19, 64)(20, 66)(21, 89)(22, 72)(23, 82)(24, 90)(25, 78)(26, 70)(27, 77)(28, 86)(29, 79)(30, 85)(31, 97)(32, 102)(33, 106)(34, 91)(35, 99)(36, 98)(37, 111)(38, 107)(39, 114)(40, 92)(41, 112)(42, 108)(43, 117)(44, 93)(45, 113)(46, 119)(47, 94)(48, 95)(49, 96)(50, 103)(51, 104)(52, 115)(53, 120)(54, 118)(55, 100)(56, 101)(57, 109)(58, 105)(59, 110)(60, 116)
	local type(s) :: { ( 40^40 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 3 e = 60 f = 3
	degree seq :: [ 40^3 ]

E28.28 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {10, 10})
Quotient :: toric
Aut^+ = C30 (small group id <30, 4>)
Aut   = C6 x D10 (small group id <60, 10>)
|r| :: 2
Presentation :: [ S^2, S * B * S * A, (S * Z)^2, (A, Z), (Z^-1, B), (B^-1, A^-1), A^-1 * B^-4, A^-2 * Z * B * Z, A^2 * B * A^2, Z * A * Z * B^-2 ]
Map:: non-degenerate
	R = (1, 32, 62, 92, 2, 38, 68, 98, 8, 56, 86, 116, 26, 44, 74, 104, 14, 58, 88, 118, 28, 54, 84, 114, 24, 60, 90, 120, 30, 50, 80, 110, 20, 35, 65, 95, 5, 31, 61, 91)(3, 39, 69, 99, 9, 47, 77, 107, 17, 59, 89, 119, 29, 53, 83, 113, 23, 52, 82, 112, 22, 37, 67, 97, 7, 42, 72, 102, 12, 49, 79, 109, 19, 45, 75, 105, 15, 33, 63, 93)(4, 40, 70, 100, 10, 43, 73, 103, 13, 57, 87, 117, 27, 55, 85, 115, 25, 51, 81, 111, 21, 36, 66, 96, 6, 41, 71, 101, 11, 46, 76, 106, 16, 48, 78, 108, 18, 34, 64, 94)
	L = (1, 63)(2, 69)(3, 73)(4, 74)(5, 75)(6, 61)(7, 76)(8, 77)(9, 87)(10, 88)(11, 62)(12, 78)(13, 84)(14, 83)(15, 70)(16, 68)(17, 85)(18, 86)(19, 64)(20, 79)(21, 65)(22, 71)(23, 66)(24, 67)(25, 80)(26, 89)(27, 90)(28, 82)(29, 81)(30, 72)(31, 97)(32, 102)(33, 106)(34, 91)(35, 112)(36, 114)(37, 115)(38, 109)(39, 108)(40, 92)(41, 120)(42, 111)(43, 98)(44, 93)(45, 101)(46, 110)(47, 94)(48, 95)(49, 96)(50, 113)(51, 118)(52, 117)(53, 103)(54, 107)(55, 104)(56, 105)(57, 116)(58, 99)(59, 100)(60, 119)
	local type(s) :: { ( 40^40 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 3 e = 60 f = 3
	degree seq :: [ 40^3 ]

E28.29 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {10, 10})
Quotient :: toric
Aut^+ = C30 (small group id <30, 4>)
Aut   = C6 x D10 (small group id <60, 10>)
|r| :: 2
Presentation :: [ S^2, S * B * S * A, (B^-1, Z^-1), (S * Z)^2, (A, Z), (B^-1, A^-1), B * A * B^3, B * Z * B * Z * A^-1, B * A^4, B^-1 * Z^2 * A^2, (B * A * Z^-1)^2, Z^10 ]
Map:: non-degenerate
	R = (1, 32, 62, 92, 2, 38, 68, 98, 8, 56, 86, 116, 26, 54, 84, 114, 24, 59, 89, 119, 29, 44, 74, 104, 14, 57, 87, 117, 27, 50, 80, 110, 20, 35, 65, 95, 5, 31, 61, 91)(3, 39, 69, 99, 9, 49, 79, 109, 19, 52, 82, 112, 22, 37, 67, 97, 7, 42, 72, 102, 12, 53, 83, 113, 23, 58, 88, 118, 28, 47, 77, 107, 17, 45, 75, 105, 15, 33, 63, 93)(4, 40, 70, 100, 10, 46, 76, 106, 16, 51, 81, 111, 21, 36, 66, 96, 6, 41, 71, 101, 11, 55, 85, 115, 25, 60, 90, 120, 30, 43, 73, 103, 13, 48, 78, 108, 18, 34, 64, 94)
	L = (1, 63)(2, 69)(3, 73)(4, 74)(5, 75)(6, 61)(7, 76)(8, 79)(9, 78)(10, 87)(11, 62)(12, 81)(13, 84)(14, 83)(15, 90)(16, 80)(17, 85)(18, 89)(19, 64)(20, 77)(21, 65)(22, 70)(23, 66)(24, 67)(25, 68)(26, 82)(27, 88)(28, 71)(29, 72)(30, 86)(31, 97)(32, 102)(33, 106)(34, 91)(35, 112)(36, 114)(37, 115)(38, 113)(39, 111)(40, 92)(41, 119)(42, 120)(43, 110)(44, 93)(45, 100)(46, 98)(47, 94)(48, 95)(49, 96)(50, 109)(51, 116)(52, 101)(53, 103)(54, 107)(55, 104)(56, 118)(57, 99)(58, 108)(59, 105)(60, 117)
	local type(s) :: { ( 40^40 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 3 e = 60 f = 3
	degree seq :: [ 40^3 ]

E28.30 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {10, 10})
Quotient :: toric
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, A * B * A, Z^-1 * A^-1 * Z * B, (S * Z)^2, S * B * S * A, A * Z^-1 * B^-1 * Z, Z^10 ]
Map::
	R = (1, 32, 62, 92, 2, 36, 66, 96, 6, 42, 72, 102, 12, 48, 78, 108, 18, 54, 84, 114, 24, 52, 82, 112, 22, 46, 76, 106, 16, 40, 70, 100, 10, 34, 64, 94, 4, 31, 61, 91)(3, 37, 67, 97, 7, 43, 73, 103, 13, 49, 79, 109, 19, 55, 85, 115, 25, 59, 89, 119, 29, 57, 87, 117, 27, 51, 81, 111, 21, 45, 75, 105, 15, 39, 69, 99, 9, 33, 63, 93)(5, 38, 68, 98, 8, 44, 74, 104, 14, 50, 80, 110, 20, 56, 86, 116, 26, 60, 90, 120, 30, 58, 88, 118, 28, 53, 83, 113, 23, 47, 77, 107, 17, 41, 71, 101, 11, 35, 65, 95)
	L = (1, 63)(2, 67)(3, 65)(4, 69)(5, 61)(6, 73)(7, 68)(8, 62)(9, 71)(10, 75)(11, 64)(12, 79)(13, 74)(14, 66)(15, 77)(16, 81)(17, 70)(18, 85)(19, 80)(20, 72)(21, 83)(22, 87)(23, 76)(24, 89)(25, 86)(26, 78)(27, 88)(28, 82)(29, 90)(30, 84)(31, 95)(32, 98)(33, 91)(34, 101)(35, 93)(36, 104)(37, 92)(38, 97)(39, 94)(40, 107)(41, 99)(42, 110)(43, 96)(44, 103)(45, 100)(46, 113)(47, 105)(48, 116)(49, 102)(50, 109)(51, 106)(52, 118)(53, 111)(54, 120)(55, 108)(56, 115)(57, 112)(58, 117)(59, 114)(60, 119)
	local type(s) :: { ( 40^40 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 3 e = 60 f = 3
	degree seq :: [ 40^3 ]

E28.31 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {10, 10})
Quotient :: toric
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, (S * Z)^2, S * B * S * A, (A, Z^-1), A^6, A^3 * Z^-5 ]
Map::
	R = (1, 32, 62, 92, 2, 36, 66, 96, 6, 44, 74, 104, 14, 55, 85, 115, 25, 49, 79, 109, 19, 60, 90, 120, 30, 52, 82, 112, 22, 41, 71, 101, 11, 34, 64, 94, 4, 31, 61, 91)(3, 37, 67, 97, 7, 45, 75, 105, 15, 56, 86, 116, 26, 54, 84, 114, 24, 43, 73, 103, 13, 48, 78, 108, 18, 59, 89, 119, 29, 51, 81, 111, 21, 40, 70, 100, 10, 33, 63, 93)(5, 38, 68, 98, 8, 46, 76, 106, 16, 57, 87, 117, 27, 50, 80, 110, 20, 39, 69, 99, 9, 47, 77, 107, 17, 58, 88, 118, 28, 53, 83, 113, 23, 42, 72, 102, 12, 35, 65, 95)
	L = (1, 63)(2, 67)(3, 69)(4, 70)(5, 61)(6, 75)(7, 77)(8, 62)(9, 79)(10, 80)(11, 81)(12, 64)(13, 65)(14, 86)(15, 88)(16, 66)(17, 90)(18, 68)(19, 73)(20, 85)(21, 87)(22, 89)(23, 71)(24, 72)(25, 84)(26, 83)(27, 74)(28, 82)(29, 76)(30, 78)(31, 95)(32, 98)(33, 91)(34, 102)(35, 103)(36, 106)(37, 92)(38, 108)(39, 93)(40, 94)(41, 113)(42, 114)(43, 109)(44, 117)(45, 96)(46, 119)(47, 97)(48, 120)(49, 99)(50, 100)(51, 101)(52, 118)(53, 116)(54, 115)(55, 110)(56, 104)(57, 111)(58, 105)(59, 112)(60, 107)
	local type(s) :: { ( 40^40 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 3 e = 60 f = 3
	degree seq :: [ 40^3 ]

E28.32 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {10, 10})
Quotient :: toric
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ S^2, A * B^-1, S * B * S * A, Z^-1 * B * Z * A^-1, (S * Z)^2, B * A * Z^-1 * B * Z^-1, Z^10 ]
Map::
	R = (1, 32, 62, 92, 2, 36, 66, 96, 6, 44, 74, 104, 14, 50, 80, 110, 20, 56, 86, 116, 26, 53, 83, 113, 23, 47, 77, 107, 17, 41, 71, 101, 11, 34, 64, 94, 4, 31, 61, 91)(3, 37, 67, 97, 7, 45, 75, 105, 15, 51, 81, 111, 21, 57, 87, 117, 27, 60, 90, 120, 30, 55, 85, 115, 25, 49, 79, 109, 19, 43, 73, 103, 13, 40, 70, 100, 10, 33, 63, 93)(5, 38, 68, 98, 8, 39, 69, 99, 9, 46, 76, 106, 16, 52, 82, 112, 22, 58, 88, 118, 28, 59, 89, 119, 29, 54, 84, 114, 24, 48, 78, 108, 18, 42, 72, 102, 12, 35, 65, 95)
	L = (1, 63)(2, 67)(3, 69)(4, 70)(5, 61)(6, 75)(7, 76)(8, 62)(9, 66)(10, 68)(11, 73)(12, 64)(13, 65)(14, 81)(15, 82)(16, 74)(17, 79)(18, 71)(19, 72)(20, 87)(21, 88)(22, 80)(23, 85)(24, 77)(25, 78)(26, 90)(27, 89)(28, 86)(29, 83)(30, 84)(31, 95)(32, 98)(33, 91)(34, 102)(35, 103)(36, 99)(37, 92)(38, 100)(39, 93)(40, 94)(41, 108)(42, 109)(43, 101)(44, 106)(45, 96)(46, 97)(47, 114)(48, 115)(49, 107)(50, 112)(51, 104)(52, 105)(53, 119)(54, 120)(55, 113)(56, 118)(57, 110)(58, 111)(59, 117)(60, 116)
	local type(s) :: { ( 40^40 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 3 e = 60 f = 3
	degree seq :: [ 40^3 ]

E28.33 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {10, 10})
Quotient :: toric
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A, (S * Z)^2, (A^-1, Z), S * A * S * B, Z^3 * B * A * Z * A, A * B * Z^2 * A^-1 * Z^-1 * A^-1 * Z^-1, Z^-1 * A * B * A^2 * B * Z^-1 * A, A * Z^-1 * A^4 * Z^-1 * A ]
Map::
	R = (1, 32, 62, 92, 2, 36, 66, 96, 6, 44, 74, 104, 14, 55, 85, 115, 25, 58, 88, 118, 28, 49, 79, 109, 19, 52, 82, 112, 22, 41, 71, 101, 11, 34, 64, 94, 4, 31, 61, 91)(3, 37, 67, 97, 7, 45, 75, 105, 15, 54, 84, 114, 24, 43, 73, 103, 13, 48, 78, 108, 18, 57, 87, 117, 27, 60, 90, 120, 30, 51, 81, 111, 21, 40, 70, 100, 10, 33, 63, 93)(5, 38, 68, 98, 8, 46, 76, 106, 16, 56, 86, 116, 26, 59, 89, 119, 29, 50, 80, 110, 20, 39, 69, 99, 9, 47, 77, 107, 17, 53, 83, 113, 23, 42, 72, 102, 12, 35, 65, 95)
	L = (1, 63)(2, 67)(3, 69)(4, 70)(5, 61)(6, 75)(7, 77)(8, 62)(9, 79)(10, 80)(11, 81)(12, 64)(13, 65)(14, 84)(15, 83)(16, 66)(17, 82)(18, 68)(19, 87)(20, 88)(21, 89)(22, 90)(23, 71)(24, 72)(25, 73)(26, 74)(27, 76)(28, 78)(29, 85)(30, 86)(31, 95)(32, 98)(33, 91)(34, 102)(35, 103)(36, 106)(37, 92)(38, 108)(39, 93)(40, 94)(41, 113)(42, 114)(43, 115)(44, 116)(45, 96)(46, 117)(47, 97)(48, 118)(49, 99)(50, 100)(51, 101)(52, 107)(53, 105)(54, 104)(55, 119)(56, 120)(57, 109)(58, 110)(59, 111)(60, 112)
	local type(s) :: { ( 40^40 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 3 e = 60 f = 3
	degree seq :: [ 40^3 ]

E28.34 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {10, 10})
Quotient :: toric
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ S^2, A^-1 * B, (Z^-1, A), Z^-1 * A^-1 * Z * B, B^-1 * Z * A * Z^-1, (S * Z)^2, S * B * S * A, Z * B^-1 * Z * B^-1 * Z^2 * A^-1, Z^-3 * B * A * Z^-1 * B, Z^-1 * B^-6 * Z^-1 ]
Map::
	R = (1, 32, 62, 92, 2, 36, 66, 96, 6, 44, 74, 104, 14, 49, 79, 109, 19, 58, 88, 118, 28, 55, 85, 115, 25, 52, 82, 112, 22, 41, 71, 101, 11, 34, 64, 94, 4, 31, 61, 91)(3, 37, 67, 97, 7, 45, 75, 105, 15, 56, 86, 116, 26, 59, 89, 119, 29, 54, 84, 114, 24, 43, 73, 103, 13, 48, 78, 108, 18, 51, 81, 111, 21, 40, 70, 100, 10, 33, 63, 93)(5, 38, 68, 98, 8, 46, 76, 106, 16, 50, 80, 110, 20, 39, 69, 99, 9, 47, 77, 107, 17, 57, 87, 117, 27, 60, 90, 120, 30, 53, 83, 113, 23, 42, 72, 102, 12, 35, 65, 95)
	L = (1, 63)(2, 67)(3, 69)(4, 70)(5, 61)(6, 75)(7, 77)(8, 62)(9, 79)(10, 80)(11, 81)(12, 64)(13, 65)(14, 86)(15, 87)(16, 66)(17, 88)(18, 68)(19, 89)(20, 74)(21, 76)(22, 78)(23, 71)(24, 72)(25, 73)(26, 90)(27, 85)(28, 84)(29, 83)(30, 82)(31, 95)(32, 98)(33, 91)(34, 102)(35, 103)(36, 106)(37, 92)(38, 108)(39, 93)(40, 94)(41, 113)(42, 114)(43, 115)(44, 110)(45, 96)(46, 111)(47, 97)(48, 112)(49, 99)(50, 100)(51, 101)(52, 120)(53, 119)(54, 118)(55, 117)(56, 104)(57, 105)(58, 107)(59, 109)(60, 116)
	local type(s) :: { ( 40^40 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 3 e = 60 f = 3
	degree seq :: [ 40^3 ]

E28.35 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C9 : C4 (small group id <36, 1>)
Aut   = (C18 x C2) : C2 (small group id <72, 8>)
|r| :: 2
Presentation :: [ S^2, A^-1 * B, (B^-1 * A^-1)^2, Z^-1 * A^-1 * B^-1 * Z^-1, S * B * S * A, B * Z^-2 * A, (S * Z)^2, B^-1 * Z^-1 * A * Z * A * Z * A * Z * A^-1 * Z * A^-1 * Z^-1 * A^-1 * Z^-1 * A^-1 * Z^-1 * A^-1 * Z^-1 ]
Map::
	R = (1, 38, 74, 110, 2, 42, 78, 114, 6, 40, 76, 112, 4, 37, 73, 109)(3, 45, 81, 117, 9, 41, 77, 113, 5, 46, 82, 118, 10, 39, 75, 111)(7, 47, 83, 119, 11, 44, 80, 116, 8, 48, 84, 120, 12, 43, 79, 115)(13, 53, 89, 125, 17, 50, 86, 122, 14, 54, 90, 126, 18, 49, 85, 121)(15, 55, 91, 127, 19, 52, 88, 124, 16, 56, 92, 128, 20, 51, 87, 123)(21, 61, 97, 133, 25, 58, 94, 130, 22, 62, 98, 134, 26, 57, 93, 129)(23, 63, 99, 135, 27, 60, 96, 132, 24, 64, 100, 136, 28, 59, 95, 131)(29, 69, 105, 141, 33, 66, 102, 138, 30, 70, 106, 142, 34, 65, 101, 137)(31, 71, 107, 143, 35, 68, 104, 140, 32, 72, 108, 144, 36, 67, 103, 139)
	L = (1, 75)(2, 79)(3, 78)(4, 80)(5, 73)(6, 77)(7, 76)(8, 74)(9, 85)(10, 86)(11, 87)(12, 88)(13, 82)(14, 81)(15, 84)(16, 83)(17, 93)(18, 94)(19, 95)(20, 96)(21, 90)(22, 89)(23, 92)(24, 91)(25, 101)(26, 102)(27, 103)(28, 104)(29, 98)(30, 97)(31, 100)(32, 99)(33, 107)(34, 108)(35, 106)(36, 105)(37, 113)(38, 116)(39, 109)(40, 115)(41, 114)(42, 111)(43, 110)(44, 112)(45, 122)(46, 121)(47, 124)(48, 123)(49, 117)(50, 118)(51, 119)(52, 120)(53, 130)(54, 129)(55, 132)(56, 131)(57, 125)(58, 126)(59, 127)(60, 128)(61, 138)(62, 137)(63, 140)(64, 139)(65, 133)(66, 134)(67, 135)(68, 136)(69, 144)(70, 143)(71, 141)(72, 142)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 9 e = 72 f = 9
	degree seq :: [ 16^9 ]

E28.36 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C9 : C4 (small group id <36, 1>)
Aut   = (C18 x C2) : C2 (small group id <72, 8>)
|r| :: 2
Presentation :: [ S^2, A * B^-1, A * B * Z^-2, Z^4, B^2 * A^2, S * B * S * A, B * Z^2 * A, (S * Z)^2, A * Z^-1 * B^-1 * Z^-1 * B^-1 * Z^-1 * B^-1 * Z * A^-1 * Z^-1 * A^-1 * Z^-1 * A^-1 * Z^-1 * A^-1 * Z^-1 * A^-1 * Z^-1 ]
Map::
	R = (1, 38, 74, 110, 2, 42, 78, 114, 6, 40, 76, 112, 4, 37, 73, 109)(3, 45, 81, 117, 9, 41, 77, 113, 5, 46, 82, 118, 10, 39, 75, 111)(7, 47, 83, 119, 11, 44, 80, 116, 8, 48, 84, 120, 12, 43, 79, 115)(13, 53, 89, 125, 17, 50, 86, 122, 14, 54, 90, 126, 18, 49, 85, 121)(15, 55, 91, 127, 19, 52, 88, 124, 16, 56, 92, 128, 20, 51, 87, 123)(21, 61, 97, 133, 25, 58, 94, 130, 22, 62, 98, 134, 26, 57, 93, 129)(23, 63, 99, 135, 27, 60, 96, 132, 24, 64, 100, 136, 28, 59, 95, 131)(29, 69, 105, 141, 33, 66, 102, 138, 30, 70, 106, 142, 34, 65, 101, 137)(31, 71, 107, 143, 35, 68, 104, 140, 32, 72, 108, 144, 36, 67, 103, 139)
	L = (1, 75)(2, 79)(3, 78)(4, 80)(5, 73)(6, 77)(7, 76)(8, 74)(9, 85)(10, 86)(11, 87)(12, 88)(13, 82)(14, 81)(15, 84)(16, 83)(17, 93)(18, 94)(19, 95)(20, 96)(21, 90)(22, 89)(23, 92)(24, 91)(25, 101)(26, 102)(27, 103)(28, 104)(29, 98)(30, 97)(31, 100)(32, 99)(33, 108)(34, 107)(35, 105)(36, 106)(37, 113)(38, 116)(39, 109)(40, 115)(41, 114)(42, 111)(43, 110)(44, 112)(45, 122)(46, 121)(47, 124)(48, 123)(49, 117)(50, 118)(51, 119)(52, 120)(53, 130)(54, 129)(55, 132)(56, 131)(57, 125)(58, 126)(59, 127)(60, 128)(61, 138)(62, 137)(63, 140)(64, 139)(65, 133)(66, 134)(67, 135)(68, 136)(69, 143)(70, 144)(71, 142)(72, 141)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 9 e = 72 f = 9
	degree seq :: [ 16^9 ]

E28.37 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C9 : C4 (small group id <36, 1>)
Aut   = (C18 x C2) : C2 (small group id <72, 8>)
|r| :: 2
Presentation :: [ S^2, A^-1 * B^-1, Z^4, S * B * S * A, (S * Z)^2, Z^-1 * B * Z * A^-1, Z^-1 * A * Z * B^-1, A^5 * B^-4 ]
Map:: non-degenerate
	R = (1, 38, 74, 110, 2, 42, 78, 114, 6, 41, 77, 113, 5, 37, 73, 109)(3, 44, 80, 116, 8, 49, 85, 121, 13, 46, 82, 118, 10, 39, 75, 111)(4, 43, 79, 115, 7, 50, 86, 122, 14, 48, 84, 120, 12, 40, 76, 112)(9, 52, 88, 124, 16, 57, 93, 129, 21, 54, 90, 126, 18, 45, 81, 117)(11, 51, 87, 123, 15, 58, 94, 130, 22, 56, 92, 128, 20, 47, 83, 119)(17, 60, 96, 132, 24, 65, 101, 137, 29, 62, 98, 134, 26, 53, 89, 125)(19, 59, 95, 131, 23, 66, 102, 138, 30, 64, 100, 136, 28, 55, 91, 127)(25, 68, 104, 140, 32, 71, 107, 143, 35, 69, 105, 141, 33, 61, 97, 133)(27, 67, 103, 139, 31, 72, 108, 144, 36, 70, 106, 142, 34, 63, 99, 135)
	L = (1, 75)(2, 79)(3, 81)(4, 73)(5, 84)(6, 85)(7, 87)(8, 74)(9, 89)(10, 77)(11, 76)(12, 92)(13, 93)(14, 78)(15, 95)(16, 80)(17, 97)(18, 82)(19, 83)(20, 100)(21, 101)(22, 86)(23, 103)(24, 88)(25, 99)(26, 90)(27, 91)(28, 106)(29, 107)(30, 94)(31, 104)(32, 96)(33, 98)(34, 105)(35, 108)(36, 102)(37, 111)(38, 115)(39, 117)(40, 109)(41, 120)(42, 121)(43, 123)(44, 110)(45, 125)(46, 113)(47, 112)(48, 128)(49, 129)(50, 114)(51, 131)(52, 116)(53, 133)(54, 118)(55, 119)(56, 136)(57, 137)(58, 122)(59, 139)(60, 124)(61, 135)(62, 126)(63, 127)(64, 142)(65, 143)(66, 130)(67, 140)(68, 132)(69, 134)(70, 141)(71, 144)(72, 138)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 9 e = 72 f = 9
	degree seq :: [ 16^9 ]

E28.38 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C9 : C4 (small group id <36, 1>)
Aut   = (C18 x C2) : C2 (small group id <72, 8>)
|r| :: 2
Presentation :: [ S^2, A^-1 * B^-1, A * B, Z^4, Z * B * Z^-1 * B, S * B * S * A, (S * Z)^2, A^3 * Z * B^-3 * Z^-1, Z * B^2 * Z * B * Z^-2 * A^-1, B^-4 * A^5 * Z^2, Z^-2 * B^4 * A^-5 ]
Map:: non-degenerate
	R = (1, 38, 74, 110, 2, 42, 78, 114, 6, 41, 77, 113, 5, 37, 73, 109)(3, 44, 80, 116, 8, 49, 85, 121, 13, 46, 82, 118, 10, 39, 75, 111)(4, 43, 79, 115, 7, 50, 86, 122, 14, 48, 84, 120, 12, 40, 76, 112)(9, 52, 88, 124, 16, 57, 93, 129, 21, 54, 90, 126, 18, 45, 81, 117)(11, 51, 87, 123, 15, 58, 94, 130, 22, 56, 92, 128, 20, 47, 83, 119)(17, 60, 96, 132, 24, 65, 101, 137, 29, 62, 98, 134, 26, 53, 89, 125)(19, 59, 95, 131, 23, 66, 102, 138, 30, 64, 100, 136, 28, 55, 91, 127)(25, 68, 104, 140, 32, 71, 107, 143, 35, 70, 106, 142, 34, 61, 97, 133)(27, 67, 103, 139, 31, 69, 105, 141, 33, 72, 108, 144, 36, 63, 99, 135)
	L = (1, 75)(2, 79)(3, 81)(4, 73)(5, 84)(6, 85)(7, 87)(8, 74)(9, 89)(10, 77)(11, 76)(12, 92)(13, 93)(14, 78)(15, 95)(16, 80)(17, 97)(18, 82)(19, 83)(20, 100)(21, 101)(22, 86)(23, 103)(24, 88)(25, 105)(26, 90)(27, 91)(28, 108)(29, 107)(30, 94)(31, 106)(32, 96)(33, 102)(34, 98)(35, 99)(36, 104)(37, 111)(38, 115)(39, 117)(40, 109)(41, 120)(42, 121)(43, 123)(44, 110)(45, 125)(46, 113)(47, 112)(48, 128)(49, 129)(50, 114)(51, 131)(52, 116)(53, 133)(54, 118)(55, 119)(56, 136)(57, 137)(58, 122)(59, 139)(60, 124)(61, 141)(62, 126)(63, 127)(64, 144)(65, 143)(66, 130)(67, 142)(68, 132)(69, 138)(70, 134)(71, 135)(72, 140)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 9 e = 72 f = 9
	degree seq :: [ 16^9 ]

E28.39 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, (S * Z)^2, S * A * S * B, Z^4, (A, Z^-1), A^9, A^2 * Z^-1 * A^2 * B * A^4 * Z ]
Map::
	R = (1, 38, 74, 110, 2, 42, 78, 114, 6, 40, 76, 112, 4, 37, 73, 109)(3, 43, 79, 115, 7, 49, 85, 121, 13, 46, 82, 118, 10, 39, 75, 111)(5, 44, 80, 116, 8, 50, 86, 122, 14, 47, 83, 119, 11, 41, 77, 113)(9, 51, 87, 123, 15, 57, 93, 129, 21, 54, 90, 126, 18, 45, 81, 117)(12, 52, 88, 124, 16, 58, 94, 130, 22, 55, 91, 127, 19, 48, 84, 120)(17, 59, 95, 131, 23, 65, 101, 137, 29, 62, 98, 134, 26, 53, 89, 125)(20, 60, 96, 132, 24, 66, 102, 138, 30, 63, 99, 135, 27, 56, 92, 128)(25, 67, 103, 139, 31, 71, 107, 143, 35, 69, 105, 141, 33, 61, 97, 133)(28, 68, 104, 140, 32, 72, 108, 144, 36, 70, 106, 142, 34, 64, 100, 136)
	L = (1, 75)(2, 79)(3, 81)(4, 82)(5, 73)(6, 85)(7, 87)(8, 74)(9, 89)(10, 90)(11, 76)(12, 77)(13, 93)(14, 78)(15, 95)(16, 80)(17, 97)(18, 98)(19, 83)(20, 84)(21, 101)(22, 86)(23, 103)(24, 88)(25, 100)(26, 105)(27, 91)(28, 92)(29, 107)(30, 94)(31, 104)(32, 96)(33, 106)(34, 99)(35, 108)(36, 102)(37, 113)(38, 116)(39, 109)(40, 119)(41, 120)(42, 122)(43, 110)(44, 124)(45, 111)(46, 112)(47, 127)(48, 128)(49, 114)(50, 130)(51, 115)(52, 132)(53, 117)(54, 118)(55, 135)(56, 136)(57, 121)(58, 138)(59, 123)(60, 140)(61, 125)(62, 126)(63, 142)(64, 133)(65, 129)(66, 144)(67, 131)(68, 139)(69, 134)(70, 141)(71, 137)(72, 143)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 9 e = 72 f = 9
	degree seq :: [ 16^9 ]

E28.40 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, S * B * S * A, Z^4, (A^-1, Z^-1), (S * Z)^2, Z * A^2 * Z^-1 * A^-2, A^9 * Z^2 ]
Map::
	R = (1, 38, 74, 110, 2, 42, 78, 114, 6, 40, 76, 112, 4, 37, 73, 109)(3, 43, 79, 115, 7, 49, 85, 121, 13, 46, 82, 118, 10, 39, 75, 111)(5, 44, 80, 116, 8, 50, 86, 122, 14, 47, 83, 119, 11, 41, 77, 113)(9, 51, 87, 123, 15, 57, 93, 129, 21, 54, 90, 126, 18, 45, 81, 117)(12, 52, 88, 124, 16, 58, 94, 130, 22, 55, 91, 127, 19, 48, 84, 120)(17, 59, 95, 131, 23, 65, 101, 137, 29, 62, 98, 134, 26, 53, 89, 125)(20, 60, 96, 132, 24, 66, 102, 138, 30, 63, 99, 135, 27, 56, 92, 128)(25, 67, 103, 139, 31, 72, 108, 144, 36, 70, 106, 142, 34, 61, 97, 133)(28, 68, 104, 140, 32, 69, 105, 141, 33, 71, 107, 143, 35, 64, 100, 136)
	L = (1, 75)(2, 79)(3, 81)(4, 82)(5, 73)(6, 85)(7, 87)(8, 74)(9, 89)(10, 90)(11, 76)(12, 77)(13, 93)(14, 78)(15, 95)(16, 80)(17, 97)(18, 98)(19, 83)(20, 84)(21, 101)(22, 86)(23, 103)(24, 88)(25, 105)(26, 106)(27, 91)(28, 92)(29, 108)(30, 94)(31, 107)(32, 96)(33, 102)(34, 104)(35, 99)(36, 100)(37, 113)(38, 116)(39, 109)(40, 119)(41, 120)(42, 122)(43, 110)(44, 124)(45, 111)(46, 112)(47, 127)(48, 128)(49, 114)(50, 130)(51, 115)(52, 132)(53, 117)(54, 118)(55, 135)(56, 136)(57, 121)(58, 138)(59, 123)(60, 140)(61, 125)(62, 126)(63, 143)(64, 144)(65, 129)(66, 141)(67, 131)(68, 142)(69, 133)(70, 134)(71, 139)(72, 137)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 9 e = 72 f = 9
	degree seq :: [ 16^9 ]

E28.41 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C36 (small group id <36, 2>)
Aut   = C9 x D8 (small group id <72, 10>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A^-1, (S * Z)^2, Z^4, (Z, A^-1), S * B * S * A, (Z, B^-1), A^5 * B^-4 ]
Map:: non-degenerate
	R = (1, 38, 74, 110, 2, 42, 78, 114, 6, 41, 77, 113, 5, 37, 73, 109)(3, 43, 79, 115, 7, 49, 85, 121, 13, 46, 82, 118, 10, 39, 75, 111)(4, 44, 80, 116, 8, 50, 86, 122, 14, 48, 84, 120, 12, 40, 76, 112)(9, 51, 87, 123, 15, 57, 93, 129, 21, 54, 90, 126, 18, 45, 81, 117)(11, 52, 88, 124, 16, 58, 94, 130, 22, 56, 92, 128, 20, 47, 83, 119)(17, 59, 95, 131, 23, 65, 101, 137, 29, 62, 98, 134, 26, 53, 89, 125)(19, 60, 96, 132, 24, 66, 102, 138, 30, 64, 100, 136, 28, 55, 91, 127)(25, 67, 103, 139, 31, 71, 107, 143, 35, 69, 105, 141, 33, 61, 97, 133)(27, 68, 104, 140, 32, 72, 108, 144, 36, 70, 106, 142, 34, 63, 99, 135)
	L = (1, 75)(2, 79)(3, 81)(4, 73)(5, 82)(6, 85)(7, 87)(8, 74)(9, 89)(10, 90)(11, 76)(12, 77)(13, 93)(14, 78)(15, 95)(16, 80)(17, 97)(18, 98)(19, 83)(20, 84)(21, 101)(22, 86)(23, 103)(24, 88)(25, 99)(26, 105)(27, 91)(28, 92)(29, 107)(30, 94)(31, 104)(32, 96)(33, 106)(34, 100)(35, 108)(36, 102)(37, 111)(38, 115)(39, 117)(40, 109)(41, 118)(42, 121)(43, 123)(44, 110)(45, 125)(46, 126)(47, 112)(48, 113)(49, 129)(50, 114)(51, 131)(52, 116)(53, 133)(54, 134)(55, 119)(56, 120)(57, 137)(58, 122)(59, 139)(60, 124)(61, 135)(62, 141)(63, 127)(64, 128)(65, 143)(66, 130)(67, 140)(68, 132)(69, 142)(70, 136)(71, 144)(72, 138)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 9 e = 72 f = 9
	degree seq :: [ 16^9 ]

E28.42 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C36 (small group id <36, 2>)
Aut   = C9 x D8 (small group id <72, 10>)
|r| :: 2
Presentation :: [ S^2, A^-1 * B^-1, B * A, B * A, (A^-1, Z^-1), (B^-1, Z^-1), S * A * S * B, (S * Z)^2, Z^4, B^-9 * Z^2, A^-1 * Z^-1 * B^4 * A^-3 * B * Z^-1, A^-1 * B * Z * A^-1 * B^2 * Z * A^-4 ]
Map:: non-degenerate
	R = (1, 38, 74, 110, 2, 42, 78, 114, 6, 41, 77, 113, 5, 37, 73, 109)(3, 43, 79, 115, 7, 49, 85, 121, 13, 46, 82, 118, 10, 39, 75, 111)(4, 44, 80, 116, 8, 50, 86, 122, 14, 48, 84, 120, 12, 40, 76, 112)(9, 51, 87, 123, 15, 57, 93, 129, 21, 54, 90, 126, 18, 45, 81, 117)(11, 52, 88, 124, 16, 58, 94, 130, 22, 56, 92, 128, 20, 47, 83, 119)(17, 59, 95, 131, 23, 65, 101, 137, 29, 62, 98, 134, 26, 53, 89, 125)(19, 60, 96, 132, 24, 66, 102, 138, 30, 64, 100, 136, 28, 55, 91, 127)(25, 67, 103, 139, 31, 71, 107, 143, 35, 70, 106, 142, 34, 61, 97, 133)(27, 68, 104, 140, 32, 69, 105, 141, 33, 72, 108, 144, 36, 63, 99, 135)
	L = (1, 75)(2, 79)(3, 81)(4, 73)(5, 82)(6, 85)(7, 87)(8, 74)(9, 89)(10, 90)(11, 76)(12, 77)(13, 93)(14, 78)(15, 95)(16, 80)(17, 97)(18, 98)(19, 83)(20, 84)(21, 101)(22, 86)(23, 103)(24, 88)(25, 105)(26, 106)(27, 91)(28, 92)(29, 107)(30, 94)(31, 108)(32, 96)(33, 102)(34, 104)(35, 99)(36, 100)(37, 111)(38, 115)(39, 117)(40, 109)(41, 118)(42, 121)(43, 123)(44, 110)(45, 125)(46, 126)(47, 112)(48, 113)(49, 129)(50, 114)(51, 131)(52, 116)(53, 133)(54, 134)(55, 119)(56, 120)(57, 137)(58, 122)(59, 139)(60, 124)(61, 141)(62, 142)(63, 127)(64, 128)(65, 143)(66, 130)(67, 144)(68, 132)(69, 138)(70, 140)(71, 135)(72, 136)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 9 e = 72 f = 9
	degree seq :: [ 16^9 ]

E28.43 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ S^2, A^3, B^3, (B, A^-1), B * Z^-1 * A^-1 * Z, A * Z^-1 * B^-1 * Z, (S * Z)^2, Z^4, S * B * S * A ]
Map:: non-degenerate
	R = (1, 38, 74, 110, 2, 44, 80, 116, 8, 41, 77, 113, 5, 37, 73, 109)(3, 46, 82, 118, 10, 57, 93, 129, 21, 50, 86, 122, 14, 39, 75, 111)(4, 45, 81, 117, 9, 58, 94, 130, 22, 52, 88, 124, 16, 40, 76, 112)(6, 48, 84, 120, 12, 59, 95, 131, 23, 55, 91, 127, 19, 42, 78, 114)(7, 47, 83, 119, 11, 60, 96, 132, 24, 54, 90, 126, 18, 43, 79, 115)(13, 61, 97, 133, 25, 69, 105, 141, 33, 65, 101, 137, 29, 49, 85, 121)(15, 63, 99, 135, 27, 70, 106, 142, 34, 66, 102, 138, 30, 51, 87, 123)(17, 62, 98, 134, 26, 71, 107, 143, 35, 67, 103, 139, 31, 53, 89, 125)(20, 64, 100, 136, 28, 72, 108, 144, 36, 68, 104, 140, 32, 56, 92, 128)
	L = (1, 75)(2, 81)(3, 78)(4, 85)(5, 88)(6, 73)(7, 87)(8, 93)(9, 83)(10, 97)(11, 74)(12, 98)(13, 89)(14, 101)(15, 92)(16, 90)(17, 76)(18, 77)(19, 103)(20, 79)(21, 95)(22, 105)(23, 80)(24, 106)(25, 99)(26, 100)(27, 82)(28, 84)(29, 102)(30, 86)(31, 104)(32, 91)(33, 107)(34, 108)(35, 94)(36, 96)(37, 115)(38, 120)(39, 123)(40, 109)(41, 127)(42, 128)(43, 112)(44, 132)(45, 134)(46, 110)(47, 136)(48, 118)(49, 111)(50, 113)(51, 121)(52, 139)(53, 114)(54, 140)(55, 122)(56, 125)(57, 142)(58, 116)(59, 144)(60, 130)(61, 117)(62, 133)(63, 119)(64, 135)(65, 124)(66, 126)(67, 137)(68, 138)(69, 129)(70, 141)(71, 131)(72, 143)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 9 e = 72 f = 9
	degree seq :: [ 16^9 ]

E28.44 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ S^2, S * B * S * A, Z * B * Z^-1 * A^-1, (S * Z)^2, (B^-1, A), B * Z * A^-1 * Z^-1, Z^4, B * Z * A^2 * Z, Z * B^-3 * Z, A^-1 * B^2 * A^-2 * B, B^-1 * A^-1 * B^-2 * A^-2 ]
Map:: non-degenerate
	R = (1, 38, 74, 110, 2, 44, 80, 116, 8, 41, 77, 113, 5, 37, 73, 109)(3, 46, 82, 118, 10, 58, 94, 130, 22, 51, 87, 123, 15, 39, 75, 111)(4, 45, 81, 117, 9, 60, 96, 132, 24, 54, 90, 126, 18, 40, 76, 112)(6, 48, 84, 120, 12, 49, 85, 121, 13, 57, 93, 129, 21, 42, 78, 114)(7, 47, 83, 119, 11, 53, 89, 125, 17, 56, 92, 128, 20, 43, 79, 115)(14, 61, 97, 133, 25, 70, 106, 142, 34, 68, 104, 140, 32, 50, 86, 122)(16, 63, 99, 135, 27, 67, 103, 139, 31, 69, 105, 141, 33, 52, 88, 124)(19, 62, 98, 134, 26, 65, 101, 137, 29, 71, 107, 143, 35, 55, 91, 127)(23, 64, 100, 136, 28, 66, 102, 138, 30, 72, 108, 144, 36, 59, 95, 131)
	L = (1, 75)(2, 81)(3, 85)(4, 86)(5, 90)(6, 73)(7, 88)(8, 94)(9, 92)(10, 97)(11, 74)(12, 98)(13, 80)(14, 101)(15, 104)(16, 102)(17, 103)(18, 83)(19, 76)(20, 77)(21, 107)(22, 78)(23, 79)(24, 106)(25, 105)(26, 108)(27, 82)(28, 84)(29, 96)(30, 89)(31, 95)(32, 99)(33, 87)(34, 91)(35, 100)(36, 93)(37, 115)(38, 120)(39, 124)(40, 109)(41, 129)(42, 131)(43, 132)(44, 125)(45, 134)(46, 110)(47, 136)(48, 123)(49, 138)(50, 111)(51, 113)(52, 142)(53, 112)(54, 143)(55, 114)(56, 144)(57, 118)(58, 139)(59, 137)(60, 116)(61, 117)(62, 140)(63, 119)(64, 141)(65, 121)(66, 127)(67, 122)(68, 126)(69, 128)(70, 130)(71, 133)(72, 135)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 9 e = 72 f = 9
	degree seq :: [ 16^9 ]

E28.45 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A, Z^4, (S * Z)^2, S * B * S * A, Z^4, Z^-1 * A * Z^-2 * A^-1 * Z^-1, A * Z * A * Z * A * Z^-1, A^2 * Z * A^-2 * Z^-1, A^-6 * Z^2 ]
Map::
	R = (1, 38, 74, 110, 2, 42, 78, 114, 6, 40, 76, 112, 4, 37, 73, 109)(3, 45, 81, 117, 9, 53, 89, 125, 17, 47, 83, 119, 11, 39, 75, 111)(5, 50, 86, 122, 14, 54, 90, 126, 18, 51, 87, 123, 15, 41, 77, 113)(7, 55, 91, 127, 19, 48, 84, 120, 12, 57, 93, 129, 21, 43, 79, 115)(8, 58, 94, 130, 22, 49, 85, 121, 13, 59, 95, 131, 23, 44, 80, 116)(10, 56, 92, 128, 20, 67, 103, 139, 31, 63, 99, 135, 27, 46, 82, 118)(16, 60, 96, 132, 24, 68, 104, 140, 32, 65, 101, 137, 29, 52, 88, 124)(25, 72, 108, 144, 36, 64, 100, 136, 28, 70, 106, 142, 34, 61, 97, 133)(26, 71, 107, 143, 35, 66, 102, 138, 30, 69, 105, 141, 33, 62, 98, 134)
	L = (1, 75)(2, 79)(3, 82)(4, 84)(5, 73)(6, 89)(7, 92)(8, 74)(9, 95)(10, 98)(11, 94)(12, 99)(13, 76)(14, 97)(15, 100)(16, 77)(17, 103)(18, 78)(19, 86)(20, 106)(21, 87)(22, 105)(23, 107)(24, 80)(25, 81)(26, 104)(27, 108)(28, 83)(29, 85)(30, 88)(31, 102)(32, 90)(33, 91)(34, 101)(35, 93)(36, 96)(37, 113)(38, 116)(39, 109)(40, 121)(41, 124)(42, 126)(43, 110)(44, 132)(45, 133)(46, 111)(47, 136)(48, 112)(49, 137)(50, 127)(51, 129)(52, 138)(53, 114)(54, 140)(55, 141)(56, 115)(57, 143)(58, 119)(59, 117)(60, 144)(61, 122)(62, 118)(63, 120)(64, 123)(65, 142)(66, 139)(67, 125)(68, 134)(69, 130)(70, 128)(71, 131)(72, 135)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 9 e = 72 f = 9
	degree seq :: [ 16^9 ]

E28.46 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A, Z^4, (S * Z)^2, S * B * S * A, Z^4, Z^-1 * A * Z^-2 * A^-1 * Z^-1, (A * Z)^3, A^2 * Z * A^-2 * Z^-1, A^-6 * Z^2 ]
Map::
	R = (1, 38, 74, 110, 2, 42, 78, 114, 6, 40, 76, 112, 4, 37, 73, 109)(3, 45, 81, 117, 9, 53, 89, 125, 17, 47, 83, 119, 11, 39, 75, 111)(5, 50, 86, 122, 14, 54, 90, 126, 18, 51, 87, 123, 15, 41, 77, 113)(7, 55, 91, 127, 19, 48, 84, 120, 12, 57, 93, 129, 21, 43, 79, 115)(8, 58, 94, 130, 22, 49, 85, 121, 13, 59, 95, 131, 23, 44, 80, 116)(10, 56, 92, 128, 20, 67, 103, 139, 31, 63, 99, 135, 27, 46, 82, 118)(16, 60, 96, 132, 24, 68, 104, 140, 32, 65, 101, 137, 29, 52, 88, 124)(25, 70, 106, 142, 34, 64, 100, 136, 28, 72, 108, 144, 36, 61, 97, 133)(26, 69, 105, 141, 33, 66, 102, 138, 30, 71, 107, 143, 35, 62, 98, 134)
	L = (1, 75)(2, 79)(3, 82)(4, 84)(5, 73)(6, 89)(7, 92)(8, 74)(9, 94)(10, 98)(11, 95)(12, 99)(13, 76)(14, 97)(15, 100)(16, 77)(17, 103)(18, 78)(19, 87)(20, 106)(21, 86)(22, 105)(23, 107)(24, 80)(25, 81)(26, 104)(27, 108)(28, 83)(29, 85)(30, 88)(31, 102)(32, 90)(33, 91)(34, 101)(35, 93)(36, 96)(37, 113)(38, 116)(39, 109)(40, 121)(41, 124)(42, 126)(43, 110)(44, 132)(45, 133)(46, 111)(47, 136)(48, 112)(49, 137)(50, 129)(51, 127)(52, 138)(53, 114)(54, 140)(55, 141)(56, 115)(57, 143)(58, 117)(59, 119)(60, 144)(61, 122)(62, 118)(63, 120)(64, 123)(65, 142)(66, 139)(67, 125)(68, 134)(69, 130)(70, 128)(71, 131)(72, 135)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 9 e = 72 f = 9
	degree seq :: [ 16^9 ]

E28.47 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
|r| :: 2
Presentation :: [ S^2, A * B, A * B^-2, S * B * S * A, (S * Z)^2, Z^4, Z * A^-1 * Z^2 * A * Z, Z * B^-1 * Z^2 * B * Z, B * Z^-1 * B * Z^-1 * B^-1 * Z^-1 * B^-1 * Z^-1, A * Z * B * Z^-1 * A^-1 * Z * B^-1 * Z^-1, A * Z * A * Z^-1 * A^-1 * Z * A^-1 * Z^-1, B * Z * A * Z^-1 * B^-1 * Z * A^-1 * Z^-1 ]
Map:: non-degenerate
	R = (1, 38, 74, 110, 2, 42, 78, 114, 6, 41, 77, 113, 5, 37, 73, 109)(3, 45, 81, 117, 9, 51, 87, 123, 15, 46, 82, 118, 10, 39, 75, 111)(4, 47, 83, 119, 11, 52, 88, 124, 16, 48, 84, 120, 12, 40, 76, 112)(7, 53, 89, 125, 17, 49, 85, 121, 13, 54, 90, 126, 18, 43, 79, 115)(8, 55, 91, 127, 19, 50, 86, 122, 14, 56, 92, 128, 20, 44, 80, 116)(21, 65, 101, 137, 29, 59, 95, 131, 23, 67, 103, 139, 31, 57, 93, 129)(22, 69, 105, 141, 33, 60, 96, 132, 24, 71, 107, 143, 35, 58, 94, 130)(25, 66, 102, 138, 30, 63, 99, 135, 27, 68, 104, 140, 32, 61, 97, 133)(26, 70, 106, 142, 34, 64, 100, 136, 28, 72, 108, 144, 36, 62, 98, 134)
	L = (1, 75)(2, 79)(3, 76)(4, 73)(5, 85)(6, 87)(7, 80)(8, 74)(9, 93)(10, 95)(11, 97)(12, 99)(13, 86)(14, 77)(15, 88)(16, 78)(17, 101)(18, 103)(19, 105)(20, 107)(21, 94)(22, 81)(23, 96)(24, 82)(25, 98)(26, 83)(27, 100)(28, 84)(29, 102)(30, 89)(31, 104)(32, 90)(33, 106)(34, 91)(35, 108)(36, 92)(37, 111)(38, 115)(39, 112)(40, 109)(41, 121)(42, 123)(43, 116)(44, 110)(45, 129)(46, 131)(47, 133)(48, 135)(49, 122)(50, 113)(51, 124)(52, 114)(53, 137)(54, 139)(55, 141)(56, 143)(57, 130)(58, 117)(59, 132)(60, 118)(61, 134)(62, 119)(63, 136)(64, 120)(65, 138)(66, 125)(67, 140)(68, 126)(69, 142)(70, 127)(71, 144)(72, 128)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 9 e = 72 f = 9
	degree seq :: [ 16^9 ]

E28.48 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A^-1, Z^4, S * B * S * A, (S * Z)^2, Z^-1 * A^2 * B^-1 * Z^-1, Z^-2 * A^-3, A^2 * Z^-2 * B^-1, B * Z^-1 * A * Z * B^-1 * Z * A^-1 * Z^-1, A * Z * A * Z * A^-1 * Z^-1 * A^-1 * Z^-1, B * Z * A * Z * B^-1 * Z^-1 * A^-1 * Z^-1, A * Z * B * Z * A^-1 * Z^-1 * B^-1 * Z^-1, B * Z^-1 * B * Z * B^-1 * Z * B^-1 * Z^-1, B * Z * B * Z * B^-1 * Z^-1 * B^-1 * Z^-1, A * Z^-1 * A * Z * A^-1 * Z * A^-1 * Z^-1, A * Z^-1 * B * Z * A^-1 * Z * B^-1 * Z^-1 ]
Map:: non-degenerate
	R = (1, 38, 74, 110, 2, 42, 78, 114, 6, 41, 77, 113, 5, 37, 73, 109)(3, 45, 81, 117, 9, 49, 85, 121, 13, 47, 83, 119, 11, 39, 75, 111)(4, 48, 84, 120, 12, 46, 82, 118, 10, 50, 86, 122, 14, 40, 76, 112)(7, 53, 89, 125, 17, 51, 87, 123, 15, 54, 90, 126, 18, 43, 79, 115)(8, 55, 91, 127, 19, 52, 88, 124, 16, 56, 92, 128, 20, 44, 80, 116)(21, 65, 101, 137, 29, 59, 95, 131, 23, 67, 103, 139, 31, 57, 93, 129)(22, 69, 105, 141, 33, 60, 96, 132, 24, 71, 107, 143, 35, 58, 94, 130)(25, 66, 102, 138, 30, 63, 99, 135, 27, 68, 104, 140, 32, 61, 97, 133)(26, 70, 106, 142, 34, 64, 100, 136, 28, 72, 108, 144, 36, 62, 98, 134)
	L = (1, 75)(2, 79)(3, 82)(4, 73)(5, 87)(6, 85)(7, 88)(8, 74)(9, 93)(10, 78)(11, 95)(12, 97)(13, 76)(14, 99)(15, 80)(16, 77)(17, 101)(18, 103)(19, 105)(20, 107)(21, 96)(22, 81)(23, 94)(24, 83)(25, 100)(26, 84)(27, 98)(28, 86)(29, 104)(30, 89)(31, 102)(32, 90)(33, 108)(34, 91)(35, 106)(36, 92)(37, 111)(38, 115)(39, 118)(40, 109)(41, 123)(42, 121)(43, 124)(44, 110)(45, 129)(46, 114)(47, 131)(48, 133)(49, 112)(50, 135)(51, 116)(52, 113)(53, 137)(54, 139)(55, 141)(56, 143)(57, 132)(58, 117)(59, 130)(60, 119)(61, 136)(62, 120)(63, 134)(64, 122)(65, 140)(66, 125)(67, 138)(68, 126)(69, 144)(70, 127)(71, 142)(72, 128)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 9 e = 72 f = 9
	degree seq :: [ 16^9 ]

E28.49 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A^-1 * Z^-2, B^-1 * Z^-2 * A^-1, Z * B^-1 * A^-1 * Z, A^-1 * B^-1 * Z^2, (A^-1 * B^-1)^2, (S * Z)^2, S * A * S * B, (B^-1, A^-1), B^2 * A^-1 * B * A^-2, B^-1 * Z * B^-1 * Z^-1 * B^-1 * Z^-1, B^2 * Z^-1 * A * B^-1 * Z^-1, B * Z^-1 * A^-1 * Z^-1 * A^-1 * Z^-1, B * Z * B^-1 * A * Z^-1 * A^-1 ]
Map:: non-degenerate
	R = (1, 38, 74, 110, 2, 44, 80, 116, 8, 41, 77, 113, 5, 37, 73, 109)(3, 49, 85, 121, 13, 43, 79, 115, 7, 51, 87, 123, 15, 39, 75, 111)(4, 53, 89, 125, 17, 42, 78, 114, 6, 55, 91, 127, 19, 40, 76, 112)(9, 57, 93, 129, 21, 48, 84, 120, 12, 59, 95, 131, 23, 45, 81, 117)(10, 61, 97, 133, 25, 47, 83, 119, 11, 63, 99, 135, 27, 46, 82, 118)(14, 58, 94, 130, 22, 52, 88, 124, 16, 60, 96, 132, 24, 50, 86, 122)(18, 62, 98, 134, 26, 56, 92, 128, 20, 64, 100, 136, 28, 54, 90, 126)(29, 71, 107, 143, 35, 66, 102, 138, 30, 72, 108, 144, 36, 65, 101, 137)(31, 69, 105, 141, 33, 68, 104, 140, 32, 70, 106, 142, 34, 67, 103, 139)
	L = (1, 75)(2, 81)(3, 86)(4, 80)(5, 84)(6, 73)(7, 88)(8, 79)(9, 94)(10, 77)(11, 74)(12, 96)(13, 97)(14, 103)(15, 99)(16, 104)(17, 101)(18, 78)(19, 102)(20, 76)(21, 91)(22, 107)(23, 89)(24, 108)(25, 105)(26, 83)(27, 106)(28, 82)(29, 87)(30, 85)(31, 92)(32, 90)(33, 95)(34, 93)(35, 100)(36, 98)(37, 115)(38, 120)(39, 124)(40, 109)(41, 117)(42, 116)(43, 122)(44, 111)(45, 132)(46, 110)(47, 113)(48, 130)(49, 135)(50, 140)(51, 133)(52, 139)(53, 138)(54, 112)(55, 137)(56, 114)(57, 125)(58, 144)(59, 127)(60, 143)(61, 142)(62, 118)(63, 141)(64, 119)(65, 121)(66, 123)(67, 126)(68, 128)(69, 129)(70, 131)(71, 134)(72, 136)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 9 e = 72 f = 9
	degree seq :: [ 16^9 ]

E28.50 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
|r| :: 2
Presentation :: [ S^2, A * B * Z^-2, Z^-1 * B^-1 * A^-1 * Z^-1, (A^-1 * B^-1)^2, (B^-1, A^-1), S * A * S * B, Z^4, B * A * Z^-2, (S * Z)^2, B^2 * A^-1 * B * A^-2, A^-1 * Z^-1 * A * B^-1 * Z^-1 * A^-1, B * Z * A^-1 * Z^-1 * A^-1 * Z^-1, B * A^-1 * Z^-1 * B^-2 * Z^-1 ]
Map:: non-degenerate
	R = (1, 38, 74, 110, 2, 44, 80, 116, 8, 41, 77, 113, 5, 37, 73, 109)(3, 49, 85, 121, 13, 43, 79, 115, 7, 51, 87, 123, 15, 39, 75, 111)(4, 53, 89, 125, 17, 42, 78, 114, 6, 55, 91, 127, 19, 40, 76, 112)(9, 57, 93, 129, 21, 48, 84, 120, 12, 59, 95, 131, 23, 45, 81, 117)(10, 61, 97, 133, 25, 47, 83, 119, 11, 63, 99, 135, 27, 46, 82, 118)(14, 58, 94, 130, 22, 52, 88, 124, 16, 60, 96, 132, 24, 50, 86, 122)(18, 62, 98, 134, 26, 56, 92, 128, 20, 64, 100, 136, 28, 54, 90, 126)(29, 72, 108, 144, 36, 66, 102, 138, 30, 71, 107, 143, 35, 65, 101, 137)(31, 70, 106, 142, 34, 68, 104, 140, 32, 69, 105, 141, 33, 67, 103, 139)
	L = (1, 75)(2, 81)(3, 86)(4, 80)(5, 84)(6, 73)(7, 88)(8, 79)(9, 94)(10, 77)(11, 74)(12, 96)(13, 99)(14, 103)(15, 97)(16, 104)(17, 101)(18, 78)(19, 102)(20, 76)(21, 89)(22, 107)(23, 91)(24, 108)(25, 105)(26, 83)(27, 106)(28, 82)(29, 87)(30, 85)(31, 92)(32, 90)(33, 95)(34, 93)(35, 100)(36, 98)(37, 115)(38, 120)(39, 124)(40, 109)(41, 117)(42, 116)(43, 122)(44, 111)(45, 132)(46, 110)(47, 113)(48, 130)(49, 133)(50, 140)(51, 135)(52, 139)(53, 138)(54, 112)(55, 137)(56, 114)(57, 127)(58, 144)(59, 125)(60, 143)(61, 142)(62, 118)(63, 141)(64, 119)(65, 121)(66, 123)(67, 126)(68, 128)(69, 129)(70, 131)(71, 134)(72, 136)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 9 e = 72 f = 9
	degree seq :: [ 16^9 ]

E28.51 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = (C3 x C3) : C4 (small group id <36, 7>)
Aut   = (C6 x S3) : C2 (small group id <72, 22>)
|r| :: 2
Presentation :: [ S^2, A^3, B^3, (A^-1, B^-1), B * Z^-1 * B * Z, A * Z^-1 * A * Z, (S * Z)^2, Z^4, S * B * S * A, A^-1 * B * Z * A^-1 * B * Z^-1 ]
Map:: non-degenerate
	R = (1, 38, 74, 110, 2, 44, 80, 116, 8, 41, 77, 113, 5, 37, 73, 109)(3, 47, 83, 119, 11, 57, 93, 129, 21, 50, 86, 122, 14, 39, 75, 111)(4, 48, 84, 120, 12, 58, 94, 130, 22, 52, 88, 124, 16, 40, 76, 112)(6, 45, 81, 117, 9, 59, 95, 131, 23, 54, 90, 126, 18, 42, 78, 114)(7, 46, 82, 118, 10, 60, 96, 132, 24, 55, 91, 127, 19, 43, 79, 115)(13, 64, 100, 136, 28, 69, 105, 141, 33, 65, 101, 137, 29, 49, 85, 121)(15, 63, 99, 135, 27, 70, 106, 142, 34, 66, 102, 138, 30, 51, 87, 123)(17, 62, 98, 134, 26, 71, 107, 143, 35, 67, 103, 139, 31, 53, 89, 125)(20, 61, 97, 133, 25, 72, 108, 144, 36, 68, 104, 140, 32, 56, 92, 128)
	L = (1, 75)(2, 81)(3, 78)(4, 85)(5, 90)(6, 73)(7, 87)(8, 93)(9, 83)(10, 97)(11, 74)(12, 98)(13, 89)(14, 77)(15, 92)(16, 103)(17, 76)(18, 86)(19, 104)(20, 79)(21, 95)(22, 105)(23, 80)(24, 106)(25, 99)(26, 100)(27, 82)(28, 84)(29, 88)(30, 91)(31, 101)(32, 102)(33, 107)(34, 108)(35, 94)(36, 96)(37, 115)(38, 120)(39, 123)(40, 109)(41, 124)(42, 128)(43, 112)(44, 132)(45, 134)(46, 110)(47, 136)(48, 118)(49, 111)(50, 137)(51, 121)(52, 127)(53, 114)(54, 139)(55, 113)(56, 125)(57, 142)(58, 116)(59, 144)(60, 130)(61, 117)(62, 133)(63, 119)(64, 135)(65, 138)(66, 122)(67, 140)(68, 126)(69, 129)(70, 141)(71, 131)(72, 143)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 9 e = 72 f = 9
	degree seq :: [ 16^9 ]

E28.52 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = (C3 x C3) : C4 (small group id <36, 7>)
Aut   = (C6 x S3) : C2 (small group id <72, 22>)
|r| :: 2
Presentation :: [ S^2, A * B^2 * A, B^2 * Z^-2, Z^4, A^4, Z^-1 * A^-2 * Z^-1, B^-1 * A^-2 * B^-1, (S * Z)^2, S * B * S * A, Z * A^-2 * Z, B^-1 * A^-1 * Z^-1 * B * A^-1 * Z^-1, B * Z^-1 * B * Z^-1 * B^-1 * Z^-1, B^-1 * A^-1 * B * A^-1 * B^-1 * A^-1, A^-1 * Z * A * Z^-1 * A^-1 * Z^-1, A^-1 * B^-1 * Z^-1 * A * B^-1 * Z^-1 ]
Map:: non-degenerate
	R = (1, 38, 74, 110, 2, 44, 80, 116, 8, 41, 77, 113, 5, 37, 73, 109)(3, 49, 85, 121, 13, 42, 78, 114, 6, 51, 87, 123, 15, 39, 75, 111)(4, 53, 89, 125, 17, 43, 79, 115, 7, 55, 91, 127, 19, 40, 76, 112)(9, 57, 93, 129, 21, 47, 83, 119, 11, 59, 95, 131, 23, 45, 81, 117)(10, 61, 97, 133, 25, 48, 84, 120, 12, 63, 99, 135, 27, 46, 82, 118)(14, 62, 98, 134, 26, 52, 88, 124, 16, 64, 100, 136, 28, 50, 86, 122)(18, 58, 94, 130, 22, 56, 92, 128, 20, 60, 96, 132, 24, 54, 90, 126)(29, 72, 108, 144, 36, 66, 102, 138, 30, 71, 107, 143, 35, 65, 101, 137)(31, 70, 106, 142, 34, 68, 104, 140, 32, 69, 105, 141, 33, 67, 103, 139)
	L = (1, 75)(2, 81)(3, 80)(4, 90)(5, 83)(6, 73)(7, 92)(8, 78)(9, 77)(10, 98)(11, 74)(12, 100)(13, 95)(14, 103)(15, 93)(16, 104)(17, 101)(18, 79)(19, 102)(20, 76)(21, 85)(22, 107)(23, 87)(24, 108)(25, 105)(26, 84)(27, 106)(28, 82)(29, 91)(30, 89)(31, 88)(32, 86)(33, 99)(34, 97)(35, 96)(36, 94)(37, 115)(38, 120)(39, 124)(40, 109)(41, 118)(42, 122)(43, 116)(44, 112)(45, 132)(46, 110)(47, 130)(48, 113)(49, 138)(50, 111)(51, 137)(52, 114)(53, 133)(54, 140)(55, 135)(56, 139)(57, 142)(58, 117)(59, 141)(60, 119)(61, 127)(62, 144)(63, 125)(64, 143)(65, 121)(66, 123)(67, 126)(68, 128)(69, 129)(70, 131)(71, 134)(72, 136)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 9 e = 72 f = 9
	degree seq :: [ 16^9 ]

E28.53 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C12 x C3 (small group id <36, 8>)
Aut   = C3 x D24 (small group id <72, 28>)
|r| :: 2
Presentation :: [ S^2, A^3, B^3, S * A * S * B, (A^-1, B^-1), (S * Z)^2, (B^-1, Z), Z^4, (A^-1, Z) ]
Map:: non-degenerate
	R = (1, 38, 74, 110, 2, 44, 80, 116, 8, 41, 77, 113, 5, 37, 73, 109)(3, 45, 81, 117, 9, 57, 93, 129, 21, 50, 86, 122, 14, 39, 75, 111)(4, 46, 82, 118, 10, 58, 94, 130, 22, 52, 88, 124, 16, 40, 76, 112)(6, 47, 83, 119, 11, 59, 95, 131, 23, 54, 90, 126, 18, 42, 78, 114)(7, 48, 84, 120, 12, 60, 96, 132, 24, 55, 91, 127, 19, 43, 79, 115)(13, 61, 97, 133, 25, 69, 105, 141, 33, 65, 101, 137, 29, 49, 85, 121)(15, 62, 98, 134, 26, 70, 106, 142, 34, 66, 102, 138, 30, 51, 87, 123)(17, 63, 99, 135, 27, 71, 107, 143, 35, 67, 103, 139, 31, 53, 89, 125)(20, 64, 100, 136, 28, 72, 108, 144, 36, 68, 104, 140, 32, 56, 92, 128)
	L = (1, 75)(2, 81)(3, 78)(4, 85)(5, 86)(6, 73)(7, 87)(8, 93)(9, 83)(10, 97)(11, 74)(12, 98)(13, 89)(14, 90)(15, 92)(16, 101)(17, 76)(18, 77)(19, 102)(20, 79)(21, 95)(22, 105)(23, 80)(24, 106)(25, 99)(26, 100)(27, 82)(28, 84)(29, 103)(30, 104)(31, 88)(32, 91)(33, 107)(34, 108)(35, 94)(36, 96)(37, 115)(38, 120)(39, 123)(40, 109)(41, 127)(42, 128)(43, 112)(44, 132)(45, 134)(46, 110)(47, 136)(48, 118)(49, 111)(50, 138)(51, 121)(52, 113)(53, 114)(54, 140)(55, 124)(56, 125)(57, 142)(58, 116)(59, 144)(60, 130)(61, 117)(62, 133)(63, 119)(64, 135)(65, 122)(66, 137)(67, 126)(68, 139)(69, 129)(70, 141)(71, 131)(72, 143)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 9 e = 72 f = 9
	degree seq :: [ 16^9 ]

E28.54 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C12 x C3 (small group id <36, 8>)
Aut   = C3 x D24 (small group id <72, 28>)
|r| :: 2
Presentation :: [ S^2, (Z^-1, B^-1), (B, A), Z^4, S * A * S * B, (Z^-1, A), (S * Z)^2, Z^2 * A^3, Z^2 * B^3, B^-1 * A^-2 * B^-2 * A^-1 ]
Map:: non-degenerate
	R = (1, 38, 74, 110, 2, 44, 80, 116, 8, 41, 77, 113, 5, 37, 73, 109)(3, 45, 81, 117, 9, 58, 94, 130, 22, 51, 87, 123, 15, 39, 75, 111)(4, 46, 82, 118, 10, 60, 96, 132, 24, 54, 90, 126, 18, 40, 76, 112)(6, 47, 83, 119, 11, 49, 85, 121, 13, 56, 92, 128, 20, 42, 78, 114)(7, 48, 84, 120, 12, 53, 89, 125, 17, 57, 93, 129, 21, 43, 79, 115)(14, 61, 97, 133, 25, 70, 106, 142, 34, 68, 104, 140, 32, 50, 86, 122)(16, 62, 98, 134, 26, 67, 103, 139, 31, 69, 105, 141, 33, 52, 88, 124)(19, 63, 99, 135, 27, 65, 101, 137, 29, 71, 107, 143, 35, 55, 91, 127)(23, 64, 100, 136, 28, 66, 102, 138, 30, 72, 108, 144, 36, 59, 95, 131)
	L = (1, 75)(2, 81)(3, 85)(4, 86)(5, 87)(6, 73)(7, 88)(8, 94)(9, 92)(10, 97)(11, 74)(12, 98)(13, 80)(14, 101)(15, 83)(16, 102)(17, 103)(18, 104)(19, 76)(20, 77)(21, 105)(22, 78)(23, 79)(24, 106)(25, 107)(26, 108)(27, 82)(28, 84)(29, 96)(30, 89)(31, 95)(32, 99)(33, 100)(34, 91)(35, 90)(36, 93)(37, 115)(38, 120)(39, 124)(40, 109)(41, 129)(42, 131)(43, 132)(44, 125)(45, 134)(46, 110)(47, 136)(48, 126)(49, 138)(50, 111)(51, 141)(52, 142)(53, 112)(54, 113)(55, 114)(56, 144)(57, 118)(58, 139)(59, 137)(60, 116)(61, 117)(62, 140)(63, 119)(64, 143)(65, 121)(66, 127)(67, 122)(68, 123)(69, 133)(70, 130)(71, 128)(72, 135)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 9 e = 72 f = 9
	degree seq :: [ 16^9 ]

E28.55 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = (C3 x C3) : C4 (small group id <36, 9>)
Aut   = (S3 x S3) : C2 (small group id <72, 40>)
|r| :: 2
Presentation :: [ B^2, S^2, A^2, (S * Z)^2, S * A * S * B, Z^4, Z^-2 * B * A * B, A * Z^-2 * A * B, Z^-1 * B * Z^-1 * A * Z * A * Z * A, A * Z^-1 * B * Z * B * Z * B * Z^-1 ]
Map:: non-degenerate
	R = (1, 38, 74, 110, 2, 42, 78, 114, 6, 41, 77, 113, 5, 37, 73, 109)(3, 45, 81, 117, 9, 49, 85, 121, 13, 47, 83, 119, 11, 39, 75, 111)(4, 48, 84, 120, 12, 46, 82, 118, 10, 50, 86, 122, 14, 40, 76, 112)(7, 53, 89, 125, 17, 52, 88, 124, 16, 54, 90, 126, 18, 43, 79, 115)(8, 55, 91, 127, 19, 51, 87, 123, 15, 56, 92, 128, 20, 44, 80, 116)(21, 69, 105, 141, 33, 60, 96, 132, 24, 72, 108, 144, 36, 57, 93, 129)(22, 65, 101, 137, 29, 59, 95, 131, 23, 68, 104, 140, 32, 58, 94, 130)(25, 70, 106, 142, 34, 64, 100, 136, 28, 71, 107, 143, 35, 61, 97, 133)(26, 66, 102, 138, 30, 63, 99, 135, 27, 67, 103, 139, 31, 62, 98, 134)
	L = (1, 75)(2, 79)(3, 73)(4, 85)(5, 87)(6, 82)(7, 74)(8, 88)(9, 93)(10, 78)(11, 95)(12, 97)(13, 76)(14, 99)(15, 77)(16, 80)(17, 101)(18, 103)(19, 105)(20, 107)(21, 81)(22, 96)(23, 83)(24, 94)(25, 84)(26, 100)(27, 86)(28, 98)(29, 89)(30, 104)(31, 90)(32, 102)(33, 91)(34, 108)(35, 92)(36, 106)(37, 112)(38, 116)(39, 118)(40, 109)(41, 124)(42, 121)(43, 123)(44, 110)(45, 130)(46, 111)(47, 132)(48, 134)(49, 114)(50, 136)(51, 115)(52, 113)(53, 138)(54, 140)(55, 142)(56, 144)(57, 131)(58, 117)(59, 129)(60, 119)(61, 135)(62, 120)(63, 133)(64, 122)(65, 139)(66, 125)(67, 137)(68, 126)(69, 143)(70, 127)(71, 141)(72, 128)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible
Dual of E28.58
Transitivity :: VT+
Graph::
	v = 9 e = 72 f = 9
	degree seq :: [ 16^9 ]

E28.56 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = (C3 x C3) : C4 (small group id <36, 9>)
Aut   = (S3 x S3) : C2 (small group id <72, 40>)
|r| :: 2
Presentation :: [ A^2, S^2, A * B, Z^4, S * A * S * B, (S * Z)^2, A * Z * B * Z * A * Z * A * Z, Z * A * Z^-2 * A * Z^-2 * A * Z ]
Map::
	R = (1, 38, 74, 110, 2, 41, 77, 113, 5, 40, 76, 112, 4, 37, 73, 109)(3, 43, 79, 115, 7, 49, 85, 121, 13, 44, 80, 116, 8, 39, 75, 111)(6, 47, 83, 119, 11, 56, 92, 128, 20, 48, 84, 120, 12, 42, 78, 114)(9, 52, 88, 124, 16, 63, 99, 135, 27, 53, 89, 125, 17, 45, 81, 117)(10, 54, 90, 126, 18, 59, 95, 131, 23, 55, 91, 127, 19, 46, 82, 118)(14, 60, 96, 132, 24, 69, 105, 141, 33, 61, 97, 133, 25, 50, 86, 122)(15, 62, 98, 134, 26, 67, 103, 139, 31, 57, 93, 129, 21, 51, 87, 123)(22, 68, 104, 140, 32, 71, 107, 143, 35, 65, 101, 137, 29, 58, 94, 130)(28, 66, 102, 138, 30, 70, 106, 142, 34, 72, 108, 144, 36, 64, 100, 136)
	L = (1, 75)(2, 78)(3, 73)(4, 81)(5, 82)(6, 74)(7, 86)(8, 87)(9, 76)(10, 77)(11, 93)(12, 94)(13, 95)(14, 79)(15, 80)(16, 100)(17, 96)(18, 101)(19, 102)(20, 99)(21, 83)(22, 84)(23, 85)(24, 89)(25, 106)(26, 107)(27, 92)(28, 88)(29, 90)(30, 91)(31, 105)(32, 108)(33, 103)(34, 97)(35, 98)(36, 104)(37, 111)(38, 114)(39, 109)(40, 117)(41, 118)(42, 110)(43, 122)(44, 123)(45, 112)(46, 113)(47, 129)(48, 130)(49, 131)(50, 115)(51, 116)(52, 136)(53, 132)(54, 137)(55, 138)(56, 135)(57, 119)(58, 120)(59, 121)(60, 125)(61, 142)(62, 143)(63, 128)(64, 124)(65, 126)(66, 127)(67, 141)(68, 144)(69, 139)(70, 133)(71, 134)(72, 140)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 9 e = 72 f = 9
	degree seq :: [ 16^9 ]

E28.57 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = (C3 x C3) : C4 (small group id <36, 9>)
Aut   = (S3 x S3) : C2 (small group id <72, 40>)
|r| :: 2
Presentation :: [ B^2, A^2, S^2, (S * Z)^2, S * B * S * A, Z^4, Z * A * Z^-1 * B, (B * A)^3, Z * B * Z^-2 * B * Z^-1 * A, B * A * Z * B * A * Z * A, (B * A * Z^-2)^2, (B * Z)^4 ]
Map:: non-degenerate
	R = (1, 38, 74, 110, 2, 42, 78, 114, 6, 41, 77, 113, 5, 37, 73, 109)(3, 45, 81, 117, 9, 57, 93, 129, 21, 47, 83, 119, 11, 39, 75, 111)(4, 43, 79, 115, 7, 53, 89, 125, 17, 49, 85, 121, 13, 40, 76, 112)(8, 51, 87, 123, 15, 59, 95, 131, 23, 56, 92, 128, 20, 44, 80, 116)(10, 58, 94, 130, 22, 69, 105, 141, 33, 61, 97, 133, 25, 46, 82, 118)(12, 63, 99, 135, 27, 68, 104, 140, 32, 64, 100, 136, 28, 48, 84, 120)(14, 66, 102, 138, 30, 65, 101, 137, 29, 52, 88, 124, 16, 50, 86, 122)(18, 70, 106, 142, 34, 62, 98, 134, 26, 71, 107, 143, 35, 54, 90, 126)(19, 60, 96, 132, 24, 67, 103, 139, 31, 72, 108, 144, 36, 55, 91, 127)
	L = (1, 75)(2, 79)(3, 73)(4, 84)(5, 86)(6, 87)(7, 74)(8, 91)(9, 94)(10, 96)(11, 98)(12, 76)(13, 101)(14, 77)(15, 78)(16, 105)(17, 106)(18, 97)(19, 80)(20, 93)(21, 92)(22, 81)(23, 100)(24, 82)(25, 90)(26, 83)(27, 103)(28, 95)(29, 85)(30, 108)(31, 99)(32, 107)(33, 88)(34, 89)(35, 104)(36, 102)(37, 112)(38, 116)(39, 118)(40, 109)(41, 119)(42, 124)(43, 126)(44, 110)(45, 131)(46, 111)(47, 113)(48, 132)(49, 136)(50, 139)(51, 140)(52, 114)(53, 138)(54, 115)(55, 133)(56, 144)(57, 142)(58, 137)(59, 117)(60, 120)(61, 127)(62, 135)(63, 134)(64, 121)(65, 130)(66, 125)(67, 122)(68, 123)(69, 143)(70, 129)(71, 141)(72, 128)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 9 e = 72 f = 9
	degree seq :: [ 16^9 ]

E28.58 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = (C3 x C3) : C4 (small group id <36, 9>)
Aut   = (S3 x S3) : C2 (small group id <72, 40>)
|r| :: 2
Presentation :: [ B^2, S^2, A^2, Z * B * Z^-1 * A, Z^4, S * B * S * A, (S * Z)^2, (B * A)^3, Z^-2 * B * Z * A * Z^-1 * B, A * B * A * Z * A * B * Z, (A * B * Z^-2)^2 ]
Map:: non-degenerate
	R = (1, 38, 74, 110, 2, 42, 78, 114, 6, 41, 77, 113, 5, 37, 73, 109)(3, 44, 80, 116, 8, 55, 91, 127, 19, 46, 82, 118, 10, 39, 75, 111)(4, 47, 83, 119, 11, 61, 97, 133, 25, 49, 85, 121, 13, 40, 76, 112)(7, 52, 88, 124, 16, 62, 98, 134, 26, 54, 90, 126, 18, 43, 79, 115)(9, 57, 93, 129, 21, 69, 105, 141, 33, 59, 95, 131, 23, 45, 81, 117)(12, 63, 99, 135, 27, 68, 104, 140, 32, 64, 100, 136, 28, 48, 84, 120)(14, 66, 102, 138, 30, 60, 96, 132, 24, 51, 87, 123, 15, 50, 86, 122)(17, 58, 94, 130, 22, 67, 103, 139, 31, 70, 106, 142, 34, 53, 89, 125)(20, 71, 107, 143, 35, 65, 101, 137, 29, 72, 108, 144, 36, 56, 92, 128)
	L = (1, 75)(2, 79)(3, 73)(4, 84)(5, 85)(6, 87)(7, 74)(8, 92)(9, 94)(10, 95)(11, 98)(12, 76)(13, 77)(14, 103)(15, 78)(16, 105)(17, 100)(18, 106)(19, 102)(20, 80)(21, 101)(22, 81)(23, 82)(24, 99)(25, 107)(26, 83)(27, 96)(28, 89)(29, 93)(30, 91)(31, 86)(32, 108)(33, 88)(34, 90)(35, 97)(36, 104)(37, 112)(38, 116)(39, 117)(40, 109)(41, 122)(42, 124)(43, 125)(44, 110)(45, 111)(46, 132)(47, 135)(48, 130)(49, 137)(50, 113)(51, 140)(52, 114)(53, 115)(54, 133)(55, 143)(56, 136)(57, 139)(58, 120)(59, 134)(60, 118)(61, 126)(62, 131)(63, 119)(64, 128)(65, 121)(66, 142)(67, 129)(68, 123)(69, 144)(70, 138)(71, 127)(72, 141)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible
Dual of E28.55
Transitivity :: VT+
Graph::
	v = 9 e = 72 f = 9
	degree seq :: [ 16^9 ]

E28.59 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = (C3 x C3) : C4 (small group id <36, 9>)
Aut   = (S3 x S3) : C2 (small group id <72, 40>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, A^3, (S * Z)^2, S * A * S * B, Z^4, (A * Z^-2)^2, A^-1 * Z * A^-1 * Z^-1 * A * Z * A * Z^-1 ]
Map::
	R = (1, 38, 74, 110, 2, 42, 78, 114, 6, 40, 76, 112, 4, 37, 73, 109)(3, 45, 81, 117, 9, 52, 88, 124, 16, 46, 82, 118, 10, 39, 75, 111)(5, 49, 85, 121, 13, 51, 87, 123, 15, 50, 86, 122, 14, 41, 77, 113)(7, 53, 89, 125, 17, 48, 84, 120, 12, 54, 90, 126, 18, 43, 79, 115)(8, 55, 91, 127, 19, 47, 83, 119, 11, 56, 92, 128, 20, 44, 80, 116)(21, 66, 102, 138, 30, 60, 96, 132, 24, 67, 103, 139, 31, 57, 93, 129)(22, 70, 106, 142, 34, 59, 95, 131, 23, 71, 107, 143, 35, 58, 94, 130)(25, 65, 101, 137, 29, 64, 100, 136, 28, 68, 104, 140, 32, 61, 97, 133)(26, 69, 105, 141, 33, 63, 99, 135, 27, 72, 108, 144, 36, 62, 98, 134)
	L = (1, 75)(2, 79)(3, 77)(4, 83)(5, 73)(6, 87)(7, 80)(8, 74)(9, 93)(10, 95)(11, 84)(12, 76)(13, 97)(14, 99)(15, 88)(16, 78)(17, 101)(18, 103)(19, 105)(20, 107)(21, 94)(22, 81)(23, 96)(24, 82)(25, 98)(26, 85)(27, 100)(28, 86)(29, 102)(30, 89)(31, 104)(32, 90)(33, 106)(34, 91)(35, 108)(36, 92)(37, 113)(38, 116)(39, 109)(40, 120)(41, 111)(42, 124)(43, 110)(44, 115)(45, 130)(46, 132)(47, 112)(48, 119)(49, 134)(50, 136)(51, 114)(52, 123)(53, 138)(54, 140)(55, 142)(56, 144)(57, 117)(58, 129)(59, 118)(60, 131)(61, 121)(62, 133)(63, 122)(64, 135)(65, 125)(66, 137)(67, 126)(68, 139)(69, 127)(70, 141)(71, 128)(72, 143)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 9 e = 72 f = 9
	degree seq :: [ 16^9 ]

E28.60 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = (C3 x C3) : C4 (small group id <36, 9>)
Aut   = (S3 x S3) : C2 (small group id <72, 40>)
|r| :: 2
Presentation :: [ S^2, A * B, A * B^-2, Z^4, S * B * S * A, (S * Z)^2, Z * B^-1 * Z^2 * A * Z, Z^-1 * B^-1 * Z^-2 * A * Z^-1, B * Z^-1 * B * Z^-1 * A^-1 * Z^-1 * A^-1 * Z^-1, B * Z^-1 * A * Z^-1 * A^-1 * Z^-1 * B^-1 * Z^-1, A * Z^-1 * B * Z^-1 * B^-1 * Z^-1 * A^-1 * Z^-1, A * Z^-1 * A * Z^-1 * B^-1 * Z^-1 * B^-1 * Z^-1 ]
Map:: non-degenerate
	R = (1, 38, 74, 110, 2, 42, 78, 114, 6, 41, 77, 113, 5, 37, 73, 109)(3, 45, 81, 117, 9, 52, 88, 124, 16, 46, 82, 118, 10, 39, 75, 111)(4, 47, 83, 119, 11, 51, 87, 123, 15, 48, 84, 120, 12, 40, 76, 112)(7, 53, 89, 125, 17, 50, 86, 122, 14, 54, 90, 126, 18, 43, 79, 115)(8, 55, 91, 127, 19, 49, 85, 121, 13, 56, 92, 128, 20, 44, 80, 116)(21, 66, 102, 138, 30, 60, 96, 132, 24, 67, 103, 139, 31, 57, 93, 129)(22, 70, 106, 142, 34, 59, 95, 131, 23, 71, 107, 143, 35, 58, 94, 130)(25, 65, 101, 137, 29, 64, 100, 136, 28, 68, 104, 140, 32, 61, 97, 133)(26, 69, 105, 141, 33, 63, 99, 135, 27, 72, 108, 144, 36, 62, 98, 134)
	L = (1, 75)(2, 79)(3, 76)(4, 73)(5, 85)(6, 87)(7, 80)(8, 74)(9, 93)(10, 95)(11, 97)(12, 99)(13, 86)(14, 77)(15, 88)(16, 78)(17, 101)(18, 103)(19, 105)(20, 107)(21, 94)(22, 81)(23, 96)(24, 82)(25, 98)(26, 83)(27, 100)(28, 84)(29, 102)(30, 89)(31, 104)(32, 90)(33, 106)(34, 91)(35, 108)(36, 92)(37, 111)(38, 115)(39, 112)(40, 109)(41, 121)(42, 123)(43, 116)(44, 110)(45, 129)(46, 131)(47, 133)(48, 135)(49, 122)(50, 113)(51, 124)(52, 114)(53, 137)(54, 139)(55, 141)(56, 143)(57, 130)(58, 117)(59, 132)(60, 118)(61, 134)(62, 119)(63, 136)(64, 120)(65, 138)(66, 125)(67, 140)(68, 126)(69, 142)(70, 127)(71, 144)(72, 128)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 9 e = 72 f = 9
	degree seq :: [ 16^9 ]

E28.61 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = (C3 x C3) : C4 (small group id <36, 9>)
Aut   = (S3 x S3) : C2 (small group id <72, 40>)
|r| :: 2
Presentation :: [ S^2, A^3, B^3, Z * B * Z^-1 * A^-1, (B^-1, A), B * Z^-1 * A^-1 * Z, S * B * S * A, (S * Z)^2, A * Z^-1 * B * Z, Z^4 ]
Map:: non-degenerate
	R = (1, 38, 74, 110, 2, 44, 80, 116, 8, 41, 77, 113, 5, 37, 73, 109)(3, 46, 82, 118, 10, 59, 95, 131, 23, 50, 86, 122, 14, 39, 75, 111)(4, 47, 83, 119, 11, 60, 96, 132, 24, 52, 88, 124, 16, 40, 76, 112)(6, 48, 84, 120, 12, 57, 93, 129, 21, 54, 90, 126, 18, 42, 78, 114)(7, 45, 81, 117, 9, 58, 94, 130, 22, 55, 91, 127, 19, 43, 79, 115)(13, 63, 99, 135, 27, 72, 108, 144, 36, 65, 101, 137, 29, 49, 85, 121)(15, 61, 97, 133, 25, 71, 107, 143, 35, 66, 102, 138, 30, 51, 87, 123)(17, 64, 100, 136, 28, 70, 106, 142, 34, 67, 103, 139, 31, 53, 89, 125)(20, 62, 98, 134, 26, 69, 105, 141, 33, 68, 104, 140, 32, 56, 92, 128)
	L = (1, 75)(2, 81)(3, 78)(4, 85)(5, 88)(6, 73)(7, 87)(8, 93)(9, 83)(10, 97)(11, 74)(12, 98)(13, 89)(14, 101)(15, 92)(16, 91)(17, 76)(18, 103)(19, 77)(20, 79)(21, 95)(22, 105)(23, 80)(24, 106)(25, 99)(26, 100)(27, 82)(28, 84)(29, 102)(30, 86)(31, 104)(32, 90)(33, 107)(34, 108)(35, 94)(36, 96)(37, 115)(38, 120)(39, 123)(40, 109)(41, 122)(42, 128)(43, 112)(44, 132)(45, 134)(46, 110)(47, 136)(48, 118)(49, 111)(50, 126)(51, 121)(52, 137)(53, 114)(54, 113)(55, 138)(56, 125)(57, 142)(58, 116)(59, 144)(60, 130)(61, 117)(62, 133)(63, 119)(64, 135)(65, 139)(66, 140)(67, 124)(68, 127)(69, 129)(70, 141)(71, 131)(72, 143)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible
Dual of E28.62
Transitivity :: VT+
Graph::
	v = 9 e = 72 f = 9
	degree seq :: [ 16^9 ]

E28.62 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = (C3 x C3) : C4 (small group id <36, 9>)
Aut   = (S3 x S3) : C2 (small group id <72, 40>)
|r| :: 2
Presentation :: [ S^2, A^3, B^3, Z^-1 * A * Z * B, (B^-1, A), B * Z^-1 * A * Z, A * Z^-1 * B^-1 * Z, (S * Z)^2, S * A * S * B, Z^4 ]
Map:: non-degenerate
	R = (1, 38, 74, 110, 2, 44, 80, 116, 8, 41, 77, 113, 5, 37, 73, 109)(3, 48, 84, 120, 12, 59, 95, 131, 23, 50, 86, 122, 14, 39, 75, 111)(4, 45, 81, 117, 9, 60, 96, 132, 24, 52, 88, 124, 16, 40, 76, 112)(6, 46, 82, 118, 10, 57, 93, 129, 21, 55, 91, 127, 19, 42, 78, 114)(7, 47, 83, 119, 11, 58, 94, 130, 22, 54, 90, 126, 18, 43, 79, 115)(13, 62, 98, 134, 26, 72, 108, 144, 36, 65, 101, 137, 29, 49, 85, 121)(15, 64, 100, 136, 28, 71, 107, 143, 35, 66, 102, 138, 30, 51, 87, 123)(17, 61, 97, 133, 25, 70, 106, 142, 34, 67, 103, 139, 31, 53, 89, 125)(20, 63, 99, 135, 27, 69, 105, 141, 33, 68, 104, 140, 32, 56, 92, 128)
	L = (1, 75)(2, 81)(3, 78)(4, 85)(5, 90)(6, 73)(7, 87)(8, 93)(9, 83)(10, 97)(11, 74)(12, 98)(13, 89)(14, 102)(15, 92)(16, 77)(17, 76)(18, 88)(19, 104)(20, 79)(21, 95)(22, 105)(23, 80)(24, 106)(25, 99)(26, 100)(27, 82)(28, 84)(29, 86)(30, 101)(31, 91)(32, 103)(33, 107)(34, 108)(35, 94)(36, 96)(37, 115)(38, 120)(39, 123)(40, 109)(41, 127)(42, 128)(43, 112)(44, 132)(45, 134)(46, 110)(47, 136)(48, 118)(49, 111)(50, 113)(51, 121)(52, 139)(53, 114)(54, 140)(55, 122)(56, 125)(57, 142)(58, 116)(59, 144)(60, 130)(61, 117)(62, 133)(63, 119)(64, 135)(65, 124)(66, 126)(67, 137)(68, 138)(69, 129)(70, 141)(71, 131)(72, 143)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible
Dual of E28.61
Transitivity :: VT+
Graph::
	v = 9 e = 72 f = 9
	degree seq :: [ 16^9 ]

E28.63 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3, 6})
Quotient :: toric
Aut^+ = (C2 x C2) : C9 (small group id <36, 3>)
Aut   = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
|r| :: 2
Presentation :: [ S^2, Z^3, (B, Z^-1), A^-1 * Z * A^-2, (Z^-1, A^-1), S * A * S * B, B^3 * Z^-1, (S * Z)^2, (B * A^-1)^2, A^2 * Z * A * Z, B * A^2 * B^-2 * A^-1, A * B * A * B * A * B * Z, A * Z^-1 * B * A^-1 * Z^-1 * B * A^-1 * Z^-1 * B * A^-1 * Z^-1 * B * A^-1 * B^-1 * A * B^2 ]
Map:: non-degenerate
	R = (1, 38, 74, 110, 2, 41, 77, 113, 5, 37, 73, 109)(3, 44, 80, 116, 8, 49, 85, 121, 13, 39, 75, 111)(4, 45, 81, 117, 9, 52, 88, 124, 16, 40, 76, 112)(6, 46, 82, 118, 10, 53, 89, 125, 17, 42, 78, 114)(7, 47, 83, 119, 11, 54, 90, 126, 18, 43, 79, 115)(12, 58, 94, 130, 22, 65, 101, 137, 29, 48, 84, 120)(14, 59, 95, 131, 23, 66, 102, 138, 30, 50, 86, 122)(15, 60, 96, 132, 24, 67, 103, 139, 31, 51, 87, 123)(19, 61, 97, 133, 25, 68, 104, 140, 32, 55, 91, 127)(20, 62, 98, 134, 26, 69, 105, 141, 33, 56, 92, 128)(21, 63, 99, 135, 27, 70, 106, 142, 34, 57, 93, 129)(28, 71, 107, 143, 35, 72, 108, 144, 36, 64, 100, 136)
	L = (1, 75)(2, 80)(3, 82)(4, 87)(5, 85)(6, 73)(7, 91)(8, 89)(9, 96)(10, 74)(11, 97)(12, 100)(13, 78)(14, 76)(15, 95)(16, 103)(17, 77)(18, 104)(19, 99)(20, 101)(21, 79)(22, 107)(23, 81)(24, 102)(25, 106)(26, 84)(27, 83)(28, 105)(29, 108)(30, 88)(31, 86)(32, 93)(33, 94)(34, 90)(35, 92)(36, 98)(37, 115)(38, 119)(39, 122)(40, 109)(41, 126)(42, 128)(43, 124)(44, 131)(45, 110)(46, 134)(47, 112)(48, 111)(49, 138)(50, 137)(51, 135)(52, 113)(53, 141)(54, 117)(55, 114)(56, 140)(57, 143)(58, 116)(59, 120)(60, 142)(61, 118)(62, 127)(63, 144)(64, 123)(65, 121)(66, 130)(67, 129)(68, 125)(69, 133)(70, 136)(71, 132)(72, 139)
	local type(s) :: { ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E28.64
Transitivity :: VT+
Graph::
	v = 12 e = 72 f = 6
	degree seq :: [ 12^12 ]

E28.64 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3, 6})
Quotient :: toric
Aut^+ = (C2 x C2) : C9 (small group id <36, 3>)
Aut   = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
|r| :: 2
Presentation :: [ S^2, B^-1 * Z * A * Z^-1, A * B * A * Z, S * A * S * B, Z * B^-1 * Z^-1 * A, (S * Z)^2, Z^-1 * B^-1 * A^-1 * B^-1, (B * A^-1)^2, Z * A^-3 * Z, Z^6 ]
Map:: non-degenerate
	R = (1, 38, 74, 110, 2, 44, 80, 116, 8, 60, 96, 132, 24, 56, 92, 128, 20, 41, 77, 113, 5, 37, 73, 109)(3, 46, 82, 118, 10, 61, 97, 133, 25, 72, 108, 144, 36, 58, 94, 130, 22, 51, 87, 123, 15, 39, 75, 111)(4, 45, 81, 117, 9, 62, 98, 134, 26, 68, 104, 140, 32, 59, 95, 131, 23, 55, 91, 127, 19, 40, 76, 112)(6, 48, 84, 120, 12, 49, 85, 121, 13, 65, 101, 137, 29, 71, 107, 143, 35, 53, 89, 125, 17, 42, 78, 114)(7, 47, 83, 119, 11, 54, 90, 126, 18, 63, 99, 135, 27, 70, 106, 142, 34, 50, 86, 122, 14, 43, 79, 115)(16, 64, 100, 136, 28, 69, 105, 141, 33, 57, 93, 129, 21, 66, 102, 138, 30, 67, 103, 139, 31, 52, 88, 124)
	L = (1, 75)(2, 81)(3, 85)(4, 89)(5, 91)(6, 73)(7, 93)(8, 97)(9, 99)(10, 79)(11, 74)(12, 102)(13, 80)(14, 77)(15, 106)(16, 76)(17, 105)(18, 103)(19, 83)(20, 94)(21, 108)(22, 78)(23, 101)(24, 104)(25, 107)(26, 84)(27, 96)(28, 82)(29, 88)(30, 95)(31, 87)(32, 86)(33, 98)(34, 100)(35, 92)(36, 90)(37, 115)(38, 120)(39, 124)(40, 109)(41, 125)(42, 117)(43, 131)(44, 126)(45, 136)(46, 110)(47, 133)(48, 123)(49, 140)(50, 111)(51, 113)(52, 135)(53, 144)(54, 112)(55, 139)(56, 142)(57, 114)(58, 138)(59, 128)(60, 137)(61, 141)(62, 116)(63, 130)(64, 143)(65, 118)(66, 119)(67, 121)(68, 129)(69, 122)(70, 134)(71, 127)(72, 132)
	local type(s) :: { ( 12^24 ) }
Outer automorphisms :: reflexible
Dual of E28.63
Transitivity :: VT+
Graph::
	v = 6 e = 72 f = 12
	degree seq :: [ 24^6 ]

E28.65 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3, 6})
Quotient :: toric
Aut^+ = C3 x A4 (small group id <36, 11>)
Aut   = A4 x S3 (small group id <72, 44>)
|r| :: 2
Presentation :: [ S^2, A^3, Z^3, B^3, (B^-1 * A^-1)^2, (A, Z^-1), (B^-1, Z), S * A * S * B, (S * Z)^2, (B * A^-1)^3 ]
Map:: non-degenerate
	R = (1, 38, 74, 110, 2, 41, 77, 113, 5, 37, 73, 109)(3, 44, 80, 116, 8, 49, 85, 121, 13, 39, 75, 111)(4, 45, 81, 117, 9, 52, 88, 124, 16, 40, 76, 112)(6, 46, 82, 118, 10, 54, 90, 126, 18, 42, 78, 114)(7, 47, 83, 119, 11, 55, 91, 127, 19, 43, 79, 115)(12, 58, 94, 130, 22, 64, 100, 136, 28, 48, 84, 120)(14, 59, 95, 131, 23, 65, 101, 137, 29, 50, 86, 122)(15, 60, 96, 132, 24, 67, 103, 139, 31, 51, 87, 123)(17, 61, 97, 133, 25, 68, 104, 140, 32, 53, 89, 125)(20, 62, 98, 134, 26, 69, 105, 141, 33, 56, 92, 128)(21, 63, 99, 135, 27, 70, 106, 142, 34, 57, 93, 129)(30, 71, 107, 143, 35, 72, 108, 144, 36, 66, 102, 138)
	L = (1, 75)(2, 80)(3, 78)(4, 87)(5, 85)(6, 73)(7, 93)(8, 82)(9, 96)(10, 74)(11, 99)(12, 79)(13, 90)(14, 102)(15, 89)(16, 103)(17, 76)(18, 77)(19, 106)(20, 86)(21, 84)(22, 83)(23, 107)(24, 97)(25, 81)(26, 95)(27, 94)(28, 91)(29, 108)(30, 92)(31, 104)(32, 88)(33, 101)(34, 100)(35, 98)(36, 105)(37, 115)(38, 119)(39, 122)(40, 109)(41, 127)(42, 123)(43, 112)(44, 131)(45, 110)(46, 132)(47, 117)(48, 111)(49, 137)(50, 120)(51, 128)(52, 113)(53, 129)(54, 139)(55, 124)(56, 114)(57, 138)(58, 116)(59, 130)(60, 134)(61, 135)(62, 118)(63, 143)(64, 121)(65, 136)(66, 125)(67, 141)(68, 142)(69, 126)(70, 144)(71, 133)(72, 140)
	local type(s) :: { ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E28.66
Transitivity :: VT+
Graph::
	v = 12 e = 72 f = 6
	degree seq :: [ 12^12 ]

E28.66 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3, 6})
Quotient :: toric
Aut^+ = C3 x A4 (small group id <36, 11>)
Aut   = A4 x S3 (small group id <72, 44>)
|r| :: 2
Presentation :: [ S^2, B^3, A^3, (B^-1 * A^-1)^2, S * A * S * B, (S * Z)^2, Z^2 * A^-1 * B^-1 * Z, Z^2 * A * Z * B, B * Z * B * A^-1 * Z^-1, Z * B^-1 * A * Z^-1 * A, B * Z * A^-1 * Z^-1 * A^-1, Z^2 * B^-1 * Z * A^-1, Z * B * Z^-1 * B * A^-1, Z * B^-1 * A^-1 * Z^-1 * B^-1 * A^-1, (B * A^-1)^3 ]
Map:: non-degenerate
	R = (1, 38, 74, 110, 2, 44, 80, 116, 8, 54, 90, 126, 18, 59, 95, 131, 23, 41, 77, 113, 5, 37, 73, 109)(3, 49, 85, 121, 13, 67, 103, 139, 31, 43, 79, 115, 7, 65, 101, 137, 29, 51, 87, 123, 15, 39, 75, 111)(4, 53, 89, 125, 17, 60, 96, 132, 24, 66, 102, 138, 30, 47, 83, 119, 11, 55, 91, 127, 19, 40, 76, 112)(6, 62, 98, 134, 26, 58, 94, 130, 22, 52, 88, 124, 16, 46, 82, 118, 10, 64, 100, 136, 28, 42, 78, 114)(9, 61, 97, 133, 25, 56, 92, 128, 20, 48, 84, 120, 12, 57, 93, 129, 21, 63, 99, 135, 27, 45, 81, 117)(14, 68, 104, 140, 32, 71, 107, 143, 35, 72, 108, 144, 36, 69, 105, 141, 33, 70, 106, 142, 34, 50, 86, 122)
	L = (1, 75)(2, 81)(3, 78)(4, 90)(5, 93)(6, 73)(7, 102)(8, 103)(9, 83)(10, 95)(11, 74)(12, 98)(13, 89)(14, 79)(15, 91)(16, 108)(17, 105)(18, 92)(19, 107)(20, 76)(21, 96)(22, 80)(23, 101)(24, 77)(25, 100)(26, 104)(27, 88)(28, 106)(29, 82)(30, 86)(31, 94)(32, 84)(33, 85)(34, 97)(35, 87)(36, 99)(37, 115)(38, 120)(39, 124)(40, 109)(41, 133)(42, 126)(43, 112)(44, 123)(45, 125)(46, 110)(47, 131)(48, 118)(49, 119)(50, 111)(51, 132)(52, 122)(53, 140)(54, 135)(55, 142)(56, 138)(57, 127)(58, 113)(59, 121)(60, 116)(61, 130)(62, 141)(63, 114)(64, 143)(65, 134)(66, 144)(67, 136)(68, 117)(69, 137)(70, 129)(71, 139)(72, 128)
	local type(s) :: { ( 12^24 ) }
Outer automorphisms :: reflexible
Dual of E28.65
Transitivity :: VT+
Graph::
	v = 6 e = 72 f = 12
	degree seq :: [ 24^6 ]

E28.67 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Z^2, S^2, B * A^-1, S * B * S * A, (S * Z)^2, A * Z * A^-1 * Z, A^27 ]
Map::
	R = (1, 56, 110, 164, 2, 55, 109, 163)(3, 59, 113, 167, 5, 57, 111, 165)(4, 60, 114, 168, 6, 58, 112, 166)(7, 63, 117, 171, 9, 61, 115, 169)(8, 64, 118, 172, 10, 62, 116, 170)(11, 67, 121, 175, 13, 65, 119, 173)(12, 68, 122, 176, 14, 66, 120, 174)(15, 71, 125, 179, 17, 69, 123, 177)(16, 72, 126, 180, 18, 70, 124, 178)(19, 75, 129, 183, 21, 73, 127, 181)(20, 76, 130, 184, 22, 74, 128, 182)(23, 79, 133, 187, 25, 77, 131, 185)(24, 80, 134, 188, 26, 78, 132, 186)(27, 83, 137, 191, 29, 81, 135, 189)(28, 84, 138, 192, 30, 82, 136, 190)(31, 87, 141, 195, 33, 85, 139, 193)(32, 88, 142, 196, 34, 86, 140, 194)(35, 91, 145, 199, 37, 89, 143, 197)(36, 92, 146, 200, 38, 90, 144, 198)(39, 95, 149, 203, 41, 93, 147, 201)(40, 96, 150, 204, 42, 94, 148, 202)(43, 99, 153, 207, 45, 97, 151, 205)(44, 100, 154, 208, 46, 98, 152, 206)(47, 103, 157, 211, 49, 101, 155, 209)(48, 104, 158, 212, 50, 102, 156, 210)(51, 107, 161, 215, 53, 105, 159, 213)(52, 108, 162, 216, 54, 106, 160, 214)
	L = (1, 111)(2, 113)(3, 115)(4, 109)(5, 117)(6, 110)(7, 119)(8, 112)(9, 121)(10, 114)(11, 123)(12, 116)(13, 125)(14, 118)(15, 127)(16, 120)(17, 129)(18, 122)(19, 131)(20, 124)(21, 133)(22, 126)(23, 135)(24, 128)(25, 137)(26, 130)(27, 139)(28, 132)(29, 141)(30, 134)(31, 143)(32, 136)(33, 145)(34, 138)(35, 147)(36, 140)(37, 149)(38, 142)(39, 151)(40, 144)(41, 153)(42, 146)(43, 155)(44, 148)(45, 157)(46, 150)(47, 159)(48, 152)(49, 161)(50, 154)(51, 160)(52, 156)(53, 162)(54, 158)(55, 166)(56, 168)(57, 163)(58, 170)(59, 164)(60, 172)(61, 165)(62, 174)(63, 167)(64, 176)(65, 169)(66, 178)(67, 171)(68, 180)(69, 173)(70, 182)(71, 175)(72, 184)(73, 177)(74, 186)(75, 179)(76, 188)(77, 181)(78, 190)(79, 183)(80, 192)(81, 185)(82, 194)(83, 187)(84, 196)(85, 189)(86, 198)(87, 191)(88, 200)(89, 193)(90, 202)(91, 195)(92, 204)(93, 197)(94, 206)(95, 199)(96, 208)(97, 201)(98, 210)(99, 203)(100, 212)(101, 205)(102, 214)(103, 207)(104, 216)(105, 209)(106, 213)(107, 211)(108, 215)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 27 e = 108 f = 27
	degree seq :: [ 8^27 ]

E28.68 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^2, B^-1 * A, S * B * S * A, (S * Z)^2, (A * Z)^27 ]
Map::
	R = (1, 56, 110, 164, 2, 55, 109, 163)(3, 59, 113, 167, 5, 57, 111, 165)(4, 60, 114, 168, 6, 58, 112, 166)(7, 63, 117, 171, 9, 61, 115, 169)(8, 64, 118, 172, 10, 62, 116, 170)(11, 67, 121, 175, 13, 65, 119, 173)(12, 68, 122, 176, 14, 66, 120, 174)(15, 77, 131, 185, 23, 69, 123, 177)(16, 79, 133, 187, 25, 70, 124, 178)(17, 81, 135, 189, 27, 71, 125, 179)(18, 83, 137, 191, 29, 72, 126, 180)(19, 85, 139, 193, 31, 73, 127, 181)(20, 87, 141, 195, 33, 74, 128, 182)(21, 89, 143, 197, 35, 75, 129, 183)(22, 91, 145, 199, 37, 76, 130, 184)(24, 93, 147, 201, 39, 78, 132, 186)(26, 95, 149, 203, 41, 80, 134, 188)(28, 97, 151, 205, 43, 82, 136, 190)(30, 99, 153, 207, 45, 84, 138, 192)(32, 101, 155, 209, 47, 86, 140, 194)(34, 103, 157, 211, 49, 88, 142, 196)(36, 105, 159, 213, 51, 90, 144, 198)(38, 107, 161, 215, 53, 92, 146, 200)(40, 108, 162, 216, 54, 94, 148, 202)(42, 106, 160, 214, 52, 96, 150, 204)(44, 104, 158, 212, 50, 98, 152, 206)(46, 102, 156, 210, 48, 100, 154, 208)
	L = (1, 111)(2, 112)(3, 109)(4, 110)(5, 115)(6, 116)(7, 113)(8, 114)(9, 119)(10, 120)(11, 117)(12, 118)(13, 123)(14, 124)(15, 121)(16, 122)(17, 131)(18, 133)(19, 135)(20, 137)(21, 139)(22, 141)(23, 125)(24, 143)(25, 126)(26, 145)(27, 127)(28, 147)(29, 128)(30, 149)(31, 129)(32, 151)(33, 130)(34, 153)(35, 132)(36, 155)(37, 134)(38, 157)(39, 136)(40, 159)(41, 138)(42, 161)(43, 140)(44, 162)(45, 142)(46, 160)(47, 144)(48, 158)(49, 146)(50, 156)(51, 148)(52, 154)(53, 150)(54, 152)(55, 165)(56, 166)(57, 163)(58, 164)(59, 169)(60, 170)(61, 167)(62, 168)(63, 173)(64, 174)(65, 171)(66, 172)(67, 177)(68, 178)(69, 175)(70, 176)(71, 185)(72, 187)(73, 189)(74, 191)(75, 193)(76, 195)(77, 179)(78, 197)(79, 180)(80, 199)(81, 181)(82, 201)(83, 182)(84, 203)(85, 183)(86, 205)(87, 184)(88, 207)(89, 186)(90, 209)(91, 188)(92, 211)(93, 190)(94, 213)(95, 192)(96, 215)(97, 194)(98, 216)(99, 196)(100, 214)(101, 198)(102, 212)(103, 200)(104, 210)(105, 202)(106, 208)(107, 204)(108, 206)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 27 e = 108 f = 27
	degree seq :: [ 8^27 ]

E28.69 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^-1 * B^-1, S * B * S * A, (S * Z)^2, A * Z * B^-1 * Z, A^14 * B^-13 ]
Map:: non-degenerate
	R = (1, 56, 110, 164, 2, 55, 109, 163)(3, 60, 114, 168, 6, 57, 111, 165)(4, 59, 113, 167, 5, 58, 112, 166)(7, 64, 118, 172, 10, 61, 115, 169)(8, 63, 117, 171, 9, 62, 116, 170)(11, 68, 122, 176, 14, 65, 119, 173)(12, 67, 121, 175, 13, 66, 120, 174)(15, 72, 126, 180, 18, 69, 123, 177)(16, 71, 125, 179, 17, 70, 124, 178)(19, 76, 130, 184, 22, 73, 127, 181)(20, 75, 129, 183, 21, 74, 128, 182)(23, 80, 134, 188, 26, 77, 131, 185)(24, 79, 133, 187, 25, 78, 132, 186)(27, 84, 138, 192, 30, 81, 135, 189)(28, 83, 137, 191, 29, 82, 136, 190)(31, 88, 142, 196, 34, 85, 139, 193)(32, 87, 141, 195, 33, 86, 140, 194)(35, 92, 146, 200, 38, 89, 143, 197)(36, 91, 145, 199, 37, 90, 144, 198)(39, 96, 150, 204, 42, 93, 147, 201)(40, 95, 149, 203, 41, 94, 148, 202)(43, 100, 154, 208, 46, 97, 151, 205)(44, 99, 153, 207, 45, 98, 152, 206)(47, 104, 158, 212, 50, 101, 155, 209)(48, 103, 157, 211, 49, 102, 156, 210)(51, 108, 162, 216, 54, 105, 159, 213)(52, 107, 161, 215, 53, 106, 160, 214)
	L = (1, 111)(2, 113)(3, 115)(4, 109)(5, 117)(6, 110)(7, 119)(8, 112)(9, 121)(10, 114)(11, 123)(12, 116)(13, 125)(14, 118)(15, 127)(16, 120)(17, 129)(18, 122)(19, 131)(20, 124)(21, 133)(22, 126)(23, 135)(24, 128)(25, 137)(26, 130)(27, 139)(28, 132)(29, 141)(30, 134)(31, 143)(32, 136)(33, 145)(34, 138)(35, 147)(36, 140)(37, 149)(38, 142)(39, 151)(40, 144)(41, 153)(42, 146)(43, 155)(44, 148)(45, 157)(46, 150)(47, 159)(48, 152)(49, 161)(50, 154)(51, 160)(52, 156)(53, 162)(54, 158)(55, 165)(56, 167)(57, 169)(58, 163)(59, 171)(60, 164)(61, 173)(62, 166)(63, 175)(64, 168)(65, 177)(66, 170)(67, 179)(68, 172)(69, 181)(70, 174)(71, 183)(72, 176)(73, 185)(74, 178)(75, 187)(76, 180)(77, 189)(78, 182)(79, 191)(80, 184)(81, 193)(82, 186)(83, 195)(84, 188)(85, 197)(86, 190)(87, 199)(88, 192)(89, 201)(90, 194)(91, 203)(92, 196)(93, 205)(94, 198)(95, 207)(96, 200)(97, 209)(98, 202)(99, 211)(100, 204)(101, 213)(102, 206)(103, 215)(104, 208)(105, 214)(106, 210)(107, 216)(108, 212)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 27 e = 108 f = 27
	degree seq :: [ 8^27 ]

E28.70 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C54 (small group id <54, 2>)
Aut   = C54 x C2 (small group id <108, 5>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^-1 * A^-1, (S * Z)^2, S * A * S * B, A * Z * A^-1 * Z, B * Z * B^-1 * Z, A^14 * B^-13 ]
Map:: non-degenerate
	R = (1, 56, 110, 164, 2, 55, 109, 163)(3, 59, 113, 167, 5, 57, 111, 165)(4, 60, 114, 168, 6, 58, 112, 166)(7, 63, 117, 171, 9, 61, 115, 169)(8, 64, 118, 172, 10, 62, 116, 170)(11, 67, 121, 175, 13, 65, 119, 173)(12, 68, 122, 176, 14, 66, 120, 174)(15, 71, 125, 179, 17, 69, 123, 177)(16, 72, 126, 180, 18, 70, 124, 178)(19, 75, 129, 183, 21, 73, 127, 181)(20, 76, 130, 184, 22, 74, 128, 182)(23, 79, 133, 187, 25, 77, 131, 185)(24, 80, 134, 188, 26, 78, 132, 186)(27, 83, 137, 191, 29, 81, 135, 189)(28, 84, 138, 192, 30, 82, 136, 190)(31, 87, 141, 195, 33, 85, 139, 193)(32, 88, 142, 196, 34, 86, 140, 194)(35, 91, 145, 199, 37, 89, 143, 197)(36, 92, 146, 200, 38, 90, 144, 198)(39, 95, 149, 203, 41, 93, 147, 201)(40, 96, 150, 204, 42, 94, 148, 202)(43, 99, 153, 207, 45, 97, 151, 205)(44, 100, 154, 208, 46, 98, 152, 206)(47, 103, 157, 211, 49, 101, 155, 209)(48, 104, 158, 212, 50, 102, 156, 210)(51, 107, 161, 215, 53, 105, 159, 213)(52, 108, 162, 216, 54, 106, 160, 214)
	L = (1, 111)(2, 113)(3, 115)(4, 109)(5, 117)(6, 110)(7, 119)(8, 112)(9, 121)(10, 114)(11, 123)(12, 116)(13, 125)(14, 118)(15, 127)(16, 120)(17, 129)(18, 122)(19, 131)(20, 124)(21, 133)(22, 126)(23, 135)(24, 128)(25, 137)(26, 130)(27, 139)(28, 132)(29, 141)(30, 134)(31, 143)(32, 136)(33, 145)(34, 138)(35, 147)(36, 140)(37, 149)(38, 142)(39, 151)(40, 144)(41, 153)(42, 146)(43, 155)(44, 148)(45, 157)(46, 150)(47, 159)(48, 152)(49, 161)(50, 154)(51, 160)(52, 156)(53, 162)(54, 158)(55, 165)(56, 167)(57, 169)(58, 163)(59, 171)(60, 164)(61, 173)(62, 166)(63, 175)(64, 168)(65, 177)(66, 170)(67, 179)(68, 172)(69, 181)(70, 174)(71, 183)(72, 176)(73, 185)(74, 178)(75, 187)(76, 180)(77, 189)(78, 182)(79, 191)(80, 184)(81, 193)(82, 186)(83, 195)(84, 188)(85, 197)(86, 190)(87, 199)(88, 192)(89, 201)(90, 194)(91, 203)(92, 196)(93, 205)(94, 198)(95, 207)(96, 200)(97, 209)(98, 202)(99, 211)(100, 204)(101, 213)(102, 206)(103, 215)(104, 208)(105, 214)(106, 210)(107, 216)(108, 212)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 27 e = 108 f = 27
	degree seq :: [ 8^27 ]

E28.71 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Z^2, S^2, B * Z * A^-1 * Z, (B^-1, A), S * B * S * A, (S * Z)^2, B^3 * A^-3, A^2 * Z * A * B^-2 * A^-1 * Z, A^9 ]
Map:: non-degenerate
	R = (1, 56, 110, 164, 2, 55, 109, 163)(3, 62, 116, 170, 8, 57, 111, 165)(4, 61, 115, 169, 7, 58, 112, 166)(5, 64, 118, 172, 10, 59, 113, 167)(6, 63, 117, 171, 9, 60, 114, 168)(11, 76, 130, 184, 22, 65, 119, 173)(12, 74, 128, 182, 20, 66, 120, 174)(13, 77, 131, 185, 23, 67, 121, 175)(14, 73, 127, 181, 19, 68, 122, 176)(15, 75, 129, 183, 21, 69, 123, 177)(16, 80, 134, 188, 26, 70, 124, 178)(17, 79, 133, 187, 25, 71, 125, 179)(18, 78, 132, 186, 24, 72, 126, 180)(27, 89, 143, 197, 35, 81, 135, 189)(28, 92, 146, 200, 38, 82, 136, 190)(29, 91, 145, 199, 37, 83, 137, 191)(30, 90, 144, 198, 36, 84, 138, 192)(31, 93, 147, 201, 39, 85, 139, 193)(32, 94, 148, 202, 40, 86, 140, 194)(33, 96, 150, 204, 42, 87, 141, 195)(34, 95, 149, 203, 41, 88, 142, 196)(43, 104, 158, 212, 50, 97, 151, 205)(44, 103, 157, 211, 49, 98, 152, 206)(45, 105, 159, 213, 51, 99, 153, 207)(46, 107, 161, 215, 53, 100, 154, 208)(47, 106, 160, 214, 52, 101, 155, 209)(48, 108, 162, 216, 54, 102, 156, 210)
	L = (1, 111)(2, 115)(3, 119)(4, 120)(5, 109)(6, 121)(7, 127)(8, 128)(9, 110)(10, 129)(11, 135)(12, 136)(13, 137)(14, 138)(15, 112)(16, 113)(17, 114)(18, 139)(19, 143)(20, 144)(21, 145)(22, 146)(23, 116)(24, 117)(25, 118)(26, 147)(27, 151)(28, 152)(29, 122)(30, 153)(31, 123)(32, 124)(33, 125)(34, 126)(35, 157)(36, 158)(37, 130)(38, 159)(39, 131)(40, 132)(41, 133)(42, 134)(43, 154)(44, 156)(45, 155)(46, 140)(47, 141)(48, 142)(49, 160)(50, 162)(51, 161)(52, 148)(53, 149)(54, 150)(55, 168)(56, 172)(57, 175)(58, 163)(59, 179)(60, 180)(61, 183)(62, 164)(63, 187)(64, 188)(65, 191)(66, 165)(67, 193)(68, 166)(69, 167)(70, 195)(71, 196)(72, 194)(73, 199)(74, 169)(75, 201)(76, 170)(77, 171)(78, 203)(79, 204)(80, 202)(81, 176)(82, 173)(83, 177)(84, 174)(85, 178)(86, 209)(87, 210)(88, 208)(89, 184)(90, 181)(91, 185)(92, 182)(93, 186)(94, 215)(95, 216)(96, 214)(97, 192)(98, 189)(99, 190)(100, 207)(101, 206)(102, 205)(103, 200)(104, 197)(105, 198)(106, 213)(107, 212)(108, 211)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 27 e = 108 f = 27
	degree seq :: [ 8^27 ]

E28.72 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^-1 * B, (S * Z)^2, S * B * S * A, A^-1 * Z * B * A * Z * A^-1, A * Z * A * B * A * Z * A^5 * Z, A^-2 * B^-1 * Z * A^-2 * B^-1 * A^-1 * B^-1 * Z * A^-1 * Z, A * Z * A * Z * B^-1 * Z * B^-1 * Z * B^-1 * Z * A * Z ]
Map::
	R = (1, 56, 110, 164, 2, 55, 109, 163)(3, 61, 115, 169, 7, 57, 111, 165)(4, 63, 117, 171, 9, 58, 112, 166)(5, 65, 119, 173, 11, 59, 113, 167)(6, 67, 121, 175, 13, 60, 114, 168)(8, 66, 120, 174, 12, 62, 116, 170)(10, 68, 122, 176, 14, 64, 118, 172)(15, 79, 133, 187, 25, 69, 123, 177)(16, 81, 135, 189, 27, 70, 124, 178)(17, 80, 134, 188, 26, 71, 125, 179)(18, 83, 137, 191, 29, 72, 126, 180)(19, 84, 138, 192, 30, 73, 127, 181)(20, 86, 140, 194, 32, 74, 128, 182)(21, 88, 142, 196, 34, 75, 129, 183)(22, 87, 141, 195, 33, 76, 130, 184)(23, 90, 144, 198, 36, 77, 131, 185)(24, 91, 145, 199, 37, 78, 132, 186)(28, 89, 143, 197, 35, 82, 136, 190)(31, 92, 146, 200, 38, 85, 139, 193)(39, 101, 155, 209, 47, 93, 147, 201)(40, 102, 156, 210, 48, 94, 148, 202)(41, 108, 162, 216, 54, 95, 149, 203)(42, 104, 158, 212, 50, 96, 150, 204)(43, 107, 161, 215, 53, 97, 151, 205)(44, 106, 160, 214, 52, 98, 152, 206)(45, 105, 159, 213, 51, 99, 153, 207)(46, 103, 157, 211, 49, 100, 154, 208)
	L = (1, 111)(2, 113)(3, 116)(4, 109)(5, 120)(6, 110)(7, 123)(8, 125)(9, 124)(10, 112)(11, 128)(12, 130)(13, 129)(14, 114)(15, 134)(16, 115)(17, 136)(18, 117)(19, 118)(20, 141)(21, 119)(22, 143)(23, 121)(24, 122)(25, 147)(26, 149)(27, 148)(28, 151)(29, 150)(30, 126)(31, 127)(32, 155)(33, 157)(34, 156)(35, 159)(36, 158)(37, 131)(38, 132)(39, 162)(40, 133)(41, 161)(42, 135)(43, 160)(44, 137)(45, 138)(46, 139)(47, 154)(48, 140)(49, 153)(50, 142)(51, 152)(52, 144)(53, 145)(54, 146)(55, 166)(56, 168)(57, 163)(58, 172)(59, 164)(60, 176)(61, 178)(62, 165)(63, 180)(64, 181)(65, 183)(66, 167)(67, 185)(68, 186)(69, 169)(70, 171)(71, 170)(72, 192)(73, 193)(74, 173)(75, 175)(76, 174)(77, 199)(78, 200)(79, 202)(80, 177)(81, 204)(82, 179)(83, 206)(84, 207)(85, 208)(86, 210)(87, 182)(88, 212)(89, 184)(90, 214)(91, 215)(92, 216)(93, 187)(94, 189)(95, 188)(96, 191)(97, 190)(98, 213)(99, 211)(100, 209)(101, 194)(102, 196)(103, 195)(104, 198)(105, 197)(106, 205)(107, 203)(108, 201)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 27 e = 108 f = 27
	degree seq :: [ 8^27 ]

E28.73 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C3 x D18 (small group id <54, 3>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Z^2, S^2, B * A^-1, S * B * S * A, (S * Z)^2, A * Z * A^-1 * B^-1 * Z * A, A^6, A * Z * A * Z * A * Z * A * Z * A^-1 * Z * B * Z * B * Z * A^-1 * Z * A^-1 * Z ]
Map::
	R = (1, 56, 110, 164, 2, 55, 109, 163)(3, 61, 115, 169, 7, 57, 111, 165)(4, 63, 117, 171, 9, 58, 112, 166)(5, 65, 119, 173, 11, 59, 113, 167)(6, 67, 121, 175, 13, 60, 114, 168)(8, 66, 120, 174, 12, 62, 116, 170)(10, 68, 122, 176, 14, 64, 118, 172)(15, 77, 131, 185, 23, 69, 123, 177)(16, 79, 133, 187, 25, 70, 124, 178)(17, 78, 132, 186, 24, 71, 125, 179)(18, 80, 134, 188, 26, 72, 126, 180)(19, 81, 135, 189, 27, 73, 127, 181)(20, 83, 137, 191, 29, 74, 128, 182)(21, 82, 136, 190, 28, 75, 129, 183)(22, 84, 138, 192, 30, 76, 130, 184)(31, 91, 145, 199, 37, 85, 139, 193)(32, 92, 146, 200, 38, 86, 140, 194)(33, 93, 147, 201, 39, 87, 141, 195)(34, 94, 148, 202, 40, 88, 142, 196)(35, 95, 149, 203, 41, 89, 143, 197)(36, 96, 150, 204, 42, 90, 144, 198)(43, 103, 157, 211, 49, 97, 151, 205)(44, 104, 158, 212, 50, 98, 152, 206)(45, 105, 159, 213, 51, 99, 153, 207)(46, 106, 160, 214, 52, 100, 154, 208)(47, 107, 161, 215, 53, 101, 155, 209)(48, 108, 162, 216, 54, 102, 156, 210)
	L = (1, 111)(2, 113)(3, 116)(4, 109)(5, 120)(6, 110)(7, 123)(8, 125)(9, 124)(10, 112)(11, 127)(12, 129)(13, 128)(14, 114)(15, 132)(16, 115)(17, 118)(18, 117)(19, 136)(20, 119)(21, 122)(22, 121)(23, 139)(24, 126)(25, 140)(26, 141)(27, 142)(28, 130)(29, 143)(30, 144)(31, 134)(32, 131)(33, 133)(34, 138)(35, 135)(36, 137)(37, 151)(38, 152)(39, 153)(40, 154)(41, 155)(42, 156)(43, 147)(44, 145)(45, 146)(46, 150)(47, 148)(48, 149)(49, 161)(50, 162)(51, 160)(52, 158)(53, 159)(54, 157)(55, 166)(56, 168)(57, 163)(58, 172)(59, 164)(60, 176)(61, 178)(62, 165)(63, 180)(64, 179)(65, 182)(66, 167)(67, 184)(68, 183)(69, 169)(70, 171)(71, 170)(72, 186)(73, 173)(74, 175)(75, 174)(76, 190)(77, 194)(78, 177)(79, 195)(80, 193)(81, 197)(82, 181)(83, 198)(84, 196)(85, 185)(86, 187)(87, 188)(88, 189)(89, 191)(90, 192)(91, 206)(92, 207)(93, 205)(94, 209)(95, 210)(96, 208)(97, 199)(98, 200)(99, 201)(100, 202)(101, 203)(102, 204)(103, 216)(104, 214)(105, 215)(106, 213)(107, 211)(108, 212)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 27 e = 108 f = 27
	degree seq :: [ 8^27 ]

E28.74 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C3 x D18 (small group id <54, 3>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Z^2, S^2, (B, A), S * B * S * A, (S * Z)^2, Z * A * Z * B^-1, B^-1 * A^-1 * B^-2 * A^-2, A^4 * B^-1 * A * B^-2 * A ]
Map:: non-degenerate
	R = (1, 56, 110, 164, 2, 55, 109, 163)(3, 62, 116, 170, 8, 57, 111, 165)(4, 61, 115, 169, 7, 58, 112, 166)(5, 64, 118, 172, 10, 59, 113, 167)(6, 63, 117, 171, 9, 60, 114, 168)(11, 76, 130, 184, 22, 65, 119, 173)(12, 74, 128, 182, 20, 66, 120, 174)(13, 77, 131, 185, 23, 67, 121, 175)(14, 73, 127, 181, 19, 68, 122, 176)(15, 75, 129, 183, 21, 69, 123, 177)(16, 80, 134, 188, 26, 70, 124, 178)(17, 79, 133, 187, 25, 71, 125, 179)(18, 78, 132, 186, 24, 72, 126, 180)(27, 94, 148, 202, 40, 81, 135, 189)(28, 92, 146, 200, 38, 82, 136, 190)(29, 95, 149, 203, 41, 83, 137, 191)(30, 90, 144, 198, 36, 84, 138, 192)(31, 96, 150, 204, 42, 85, 139, 193)(32, 89, 143, 197, 35, 86, 140, 194)(33, 91, 145, 199, 37, 87, 141, 195)(34, 93, 147, 201, 39, 88, 142, 196)(43, 106, 160, 214, 52, 97, 151, 205)(44, 107, 161, 215, 53, 98, 152, 206)(45, 108, 162, 216, 54, 99, 153, 207)(46, 103, 157, 211, 49, 100, 154, 208)(47, 104, 158, 212, 50, 101, 155, 209)(48, 105, 159, 213, 51, 102, 156, 210)
	L = (1, 111)(2, 115)(3, 119)(4, 120)(5, 109)(6, 121)(7, 127)(8, 128)(9, 110)(10, 129)(11, 135)(12, 136)(13, 137)(14, 138)(15, 112)(16, 113)(17, 114)(18, 139)(19, 143)(20, 144)(21, 145)(22, 146)(23, 116)(24, 117)(25, 118)(26, 147)(27, 151)(28, 126)(29, 152)(30, 125)(31, 153)(32, 124)(33, 122)(34, 123)(35, 157)(36, 134)(37, 158)(38, 133)(39, 159)(40, 132)(41, 130)(42, 131)(43, 155)(44, 156)(45, 154)(46, 142)(47, 140)(48, 141)(49, 161)(50, 162)(51, 160)(52, 150)(53, 148)(54, 149)(55, 168)(56, 172)(57, 175)(58, 163)(59, 179)(60, 180)(61, 183)(62, 164)(63, 187)(64, 188)(65, 191)(66, 165)(67, 193)(68, 166)(69, 167)(70, 192)(71, 190)(72, 189)(73, 199)(74, 169)(75, 201)(76, 170)(77, 171)(78, 200)(79, 198)(80, 197)(81, 206)(82, 173)(83, 207)(84, 174)(85, 205)(86, 176)(87, 177)(88, 178)(89, 212)(90, 181)(91, 213)(92, 182)(93, 211)(94, 184)(95, 185)(96, 186)(97, 210)(98, 208)(99, 209)(100, 194)(101, 195)(102, 196)(103, 216)(104, 214)(105, 215)(106, 202)(107, 203)(108, 204)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 27 e = 108 f = 27
	degree seq :: [ 8^27 ]

E28.75 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = (C9 x C3) : C2 (small group id <54, 7>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^2, A^2, S * B * S * A, (S * Z)^2, (B * A)^3, (B * Z * A)^2, (A * Z)^9 ]
Map:: non-degenerate
	R = (1, 56, 110, 164, 2, 55, 109, 163)(3, 61, 115, 169, 7, 57, 111, 165)(4, 63, 117, 171, 9, 58, 112, 166)(5, 65, 119, 173, 11, 59, 113, 167)(6, 67, 121, 175, 13, 60, 114, 168)(8, 68, 122, 176, 14, 62, 116, 170)(10, 66, 120, 174, 12, 64, 118, 172)(15, 77, 131, 185, 23, 69, 123, 177)(16, 79, 133, 187, 25, 70, 124, 178)(17, 78, 132, 186, 24, 71, 125, 179)(18, 80, 134, 188, 26, 72, 126, 180)(19, 81, 135, 189, 27, 73, 127, 181)(20, 83, 137, 191, 29, 74, 128, 182)(21, 82, 136, 190, 28, 75, 129, 183)(22, 84, 138, 192, 30, 76, 130, 184)(31, 91, 145, 199, 37, 85, 139, 193)(32, 92, 146, 200, 38, 86, 140, 194)(33, 93, 147, 201, 39, 87, 141, 195)(34, 94, 148, 202, 40, 88, 142, 196)(35, 95, 149, 203, 41, 89, 143, 197)(36, 96, 150, 204, 42, 90, 144, 198)(43, 103, 157, 211, 49, 97, 151, 205)(44, 104, 158, 212, 50, 98, 152, 206)(45, 105, 159, 213, 51, 99, 153, 207)(46, 106, 160, 214, 52, 100, 154, 208)(47, 107, 161, 215, 53, 101, 155, 209)(48, 108, 162, 216, 54, 102, 156, 210)
	L = (1, 111)(2, 113)(3, 109)(4, 118)(5, 110)(6, 122)(7, 123)(8, 125)(9, 124)(10, 112)(11, 127)(12, 129)(13, 128)(14, 114)(15, 115)(16, 117)(17, 116)(18, 132)(19, 119)(20, 121)(21, 120)(22, 136)(23, 139)(24, 126)(25, 140)(26, 141)(27, 142)(28, 130)(29, 143)(30, 144)(31, 131)(32, 133)(33, 134)(34, 135)(35, 137)(36, 138)(37, 151)(38, 152)(39, 153)(40, 154)(41, 155)(42, 156)(43, 145)(44, 146)(45, 147)(46, 148)(47, 149)(48, 150)(49, 160)(50, 162)(51, 161)(52, 157)(53, 159)(54, 158)(55, 166)(56, 168)(57, 170)(58, 163)(59, 174)(60, 164)(61, 178)(62, 165)(63, 180)(64, 179)(65, 182)(66, 167)(67, 184)(68, 183)(69, 186)(70, 169)(71, 172)(72, 171)(73, 190)(74, 173)(75, 176)(76, 175)(77, 194)(78, 177)(79, 195)(80, 193)(81, 197)(82, 181)(83, 198)(84, 196)(85, 188)(86, 185)(87, 187)(88, 192)(89, 189)(90, 191)(91, 206)(92, 207)(93, 205)(94, 209)(95, 210)(96, 208)(97, 201)(98, 199)(99, 200)(100, 204)(101, 202)(102, 203)(103, 216)(104, 215)(105, 214)(106, 213)(107, 212)(108, 211)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 27 e = 108 f = 27
	degree seq :: [ 8^27 ]

E28.76 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = (C9 x C3) : C2 (small group id <54, 7>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Z^2, S^2, (A^-1, B), (Z * B^-1)^2, S * B * S * A, (S * Z)^2, (A^-1 * Z)^2, (A^-1 * B * Z)^2, B^-1 * A^-1 * B^-2 * A^-2, A^5 * B^-1 * A * B^-2 ]
Map:: non-degenerate
	R = (1, 56, 110, 164, 2, 55, 109, 163)(3, 63, 117, 171, 9, 57, 111, 165)(4, 64, 118, 172, 10, 58, 112, 166)(5, 61, 115, 169, 7, 59, 113, 167)(6, 62, 116, 170, 8, 60, 114, 168)(11, 78, 132, 186, 24, 65, 119, 173)(12, 79, 133, 187, 25, 66, 120, 174)(13, 77, 131, 185, 23, 67, 121, 175)(14, 80, 134, 188, 26, 68, 122, 176)(15, 75, 129, 183, 21, 69, 123, 177)(16, 73, 127, 181, 19, 70, 124, 178)(17, 74, 128, 182, 20, 71, 125, 179)(18, 76, 130, 184, 22, 72, 126, 180)(27, 94, 148, 202, 40, 81, 135, 189)(28, 92, 146, 200, 38, 82, 136, 190)(29, 96, 150, 204, 42, 83, 137, 191)(30, 90, 144, 198, 36, 84, 138, 192)(31, 95, 149, 203, 41, 85, 139, 193)(32, 89, 143, 197, 35, 86, 140, 194)(33, 93, 147, 201, 39, 87, 141, 195)(34, 91, 145, 199, 37, 88, 142, 196)(43, 107, 161, 215, 53, 97, 151, 205)(44, 106, 160, 214, 52, 98, 152, 206)(45, 108, 162, 216, 54, 99, 153, 207)(46, 104, 158, 212, 50, 100, 154, 208)(47, 103, 157, 211, 49, 101, 155, 209)(48, 105, 159, 213, 51, 102, 156, 210)
	L = (1, 111)(2, 115)(3, 119)(4, 120)(5, 109)(6, 121)(7, 127)(8, 128)(9, 110)(10, 129)(11, 135)(12, 136)(13, 137)(14, 138)(15, 112)(16, 113)(17, 114)(18, 139)(19, 143)(20, 144)(21, 145)(22, 146)(23, 116)(24, 117)(25, 118)(26, 147)(27, 151)(28, 126)(29, 152)(30, 125)(31, 153)(32, 124)(33, 122)(34, 123)(35, 157)(36, 134)(37, 158)(38, 133)(39, 159)(40, 132)(41, 130)(42, 131)(43, 155)(44, 156)(45, 154)(46, 142)(47, 140)(48, 141)(49, 161)(50, 162)(51, 160)(52, 150)(53, 148)(54, 149)(55, 168)(56, 172)(57, 175)(58, 163)(59, 179)(60, 180)(61, 183)(62, 164)(63, 187)(64, 188)(65, 191)(66, 165)(67, 193)(68, 166)(69, 167)(70, 192)(71, 190)(72, 189)(73, 199)(74, 169)(75, 201)(76, 170)(77, 171)(78, 200)(79, 198)(80, 197)(81, 206)(82, 173)(83, 207)(84, 174)(85, 205)(86, 176)(87, 177)(88, 178)(89, 212)(90, 181)(91, 213)(92, 182)(93, 211)(94, 184)(95, 185)(96, 186)(97, 210)(98, 208)(99, 209)(100, 194)(101, 195)(102, 196)(103, 216)(104, 214)(105, 215)(106, 202)(107, 203)(108, 204)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 27 e = 108 f = 27
	degree seq :: [ 8^27 ]

E28.77 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C18 x C3 (small group id <54, 9>)
Aut   = C6 x D18 (small group id <108, 23>)
|r| :: 2
Presentation :: [ Z^2, S^2, (B^-1, A), (S * Z)^2, S * A * S * B, B * Z * B^-1 * Z, A * Z * A^-1 * Z, B^3 * A^-3, A^9 ]
Map:: non-degenerate
	R = (1, 56, 110, 164, 2, 55, 109, 163)(3, 61, 115, 169, 7, 57, 111, 165)(4, 62, 116, 170, 8, 58, 112, 166)(5, 63, 117, 171, 9, 59, 113, 167)(6, 64, 118, 172, 10, 60, 114, 168)(11, 73, 127, 181, 19, 65, 119, 173)(12, 74, 128, 182, 20, 66, 120, 174)(13, 75, 129, 183, 21, 67, 121, 175)(14, 76, 130, 184, 22, 68, 122, 176)(15, 77, 131, 185, 23, 69, 123, 177)(16, 78, 132, 186, 24, 70, 124, 178)(17, 79, 133, 187, 25, 71, 125, 179)(18, 80, 134, 188, 26, 72, 126, 180)(27, 89, 143, 197, 35, 81, 135, 189)(28, 90, 144, 198, 36, 82, 136, 190)(29, 91, 145, 199, 37, 83, 137, 191)(30, 92, 146, 200, 38, 84, 138, 192)(31, 93, 147, 201, 39, 85, 139, 193)(32, 94, 148, 202, 40, 86, 140, 194)(33, 95, 149, 203, 41, 87, 141, 195)(34, 96, 150, 204, 42, 88, 142, 196)(43, 103, 157, 211, 49, 97, 151, 205)(44, 104, 158, 212, 50, 98, 152, 206)(45, 105, 159, 213, 51, 99, 153, 207)(46, 106, 160, 214, 52, 100, 154, 208)(47, 107, 161, 215, 53, 101, 155, 209)(48, 108, 162, 216, 54, 102, 156, 210)
	L = (1, 111)(2, 115)(3, 119)(4, 120)(5, 109)(6, 121)(7, 127)(8, 128)(9, 110)(10, 129)(11, 135)(12, 136)(13, 137)(14, 138)(15, 112)(16, 113)(17, 114)(18, 139)(19, 143)(20, 144)(21, 145)(22, 146)(23, 116)(24, 117)(25, 118)(26, 147)(27, 151)(28, 152)(29, 122)(30, 153)(31, 123)(32, 124)(33, 125)(34, 126)(35, 157)(36, 158)(37, 130)(38, 159)(39, 131)(40, 132)(41, 133)(42, 134)(43, 154)(44, 156)(45, 155)(46, 140)(47, 141)(48, 142)(49, 160)(50, 162)(51, 161)(52, 148)(53, 149)(54, 150)(55, 168)(56, 172)(57, 175)(58, 163)(59, 179)(60, 180)(61, 183)(62, 164)(63, 187)(64, 188)(65, 191)(66, 165)(67, 193)(68, 166)(69, 167)(70, 195)(71, 196)(72, 194)(73, 199)(74, 169)(75, 201)(76, 170)(77, 171)(78, 203)(79, 204)(80, 202)(81, 176)(82, 173)(83, 177)(84, 174)(85, 178)(86, 209)(87, 210)(88, 208)(89, 184)(90, 181)(91, 185)(92, 182)(93, 186)(94, 215)(95, 216)(96, 214)(97, 192)(98, 189)(99, 190)(100, 207)(101, 206)(102, 205)(103, 200)(104, 197)(105, 198)(106, 213)(107, 212)(108, 211)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 27 e = 108 f = 27
	degree seq :: [ 8^27 ]

E28.78 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C3 x D18 (small group id <54, 3>)
Aut   = C6 x D18 (small group id <108, 23>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^-1 * B^-1, (S * Z)^2, S * A * S * B, (B * A^-1)^3, B^2 * Z * B^-2 * Z, A^2 * Z * A^-2 * Z, B^3 * A^-3, B * Z * A * B^-1 * Z * A^-1, A * Z * A * Z * A * Z * A * Z * A * Z * A^-1 * Z * A^-1 * Z * A^-1 * Z * B^-1 * Z ]
Map:: non-degenerate
	R = (1, 56, 110, 164, 2, 55, 109, 163)(3, 61, 115, 169, 7, 57, 111, 165)(4, 63, 117, 171, 9, 58, 112, 166)(5, 65, 119, 173, 11, 59, 113, 167)(6, 67, 121, 175, 13, 60, 114, 168)(8, 66, 120, 174, 12, 62, 116, 170)(10, 68, 122, 176, 14, 64, 118, 172)(15, 77, 131, 185, 23, 69, 123, 177)(16, 79, 133, 187, 25, 70, 124, 178)(17, 78, 132, 186, 24, 71, 125, 179)(18, 80, 134, 188, 26, 72, 126, 180)(19, 81, 135, 189, 27, 73, 127, 181)(20, 83, 137, 191, 29, 74, 128, 182)(21, 82, 136, 190, 28, 75, 129, 183)(22, 84, 138, 192, 30, 76, 130, 184)(31, 91, 145, 199, 37, 85, 139, 193)(32, 92, 146, 200, 38, 86, 140, 194)(33, 93, 147, 201, 39, 87, 141, 195)(34, 94, 148, 202, 40, 88, 142, 196)(35, 95, 149, 203, 41, 89, 143, 197)(36, 96, 150, 204, 42, 90, 144, 198)(43, 103, 157, 211, 49, 97, 151, 205)(44, 104, 158, 212, 50, 98, 152, 206)(45, 105, 159, 213, 51, 99, 153, 207)(46, 106, 160, 214, 52, 100, 154, 208)(47, 107, 161, 215, 53, 101, 155, 209)(48, 108, 162, 216, 54, 102, 156, 210)
	L = (1, 111)(2, 113)(3, 116)(4, 109)(5, 120)(6, 110)(7, 123)(8, 125)(9, 124)(10, 112)(11, 127)(12, 129)(13, 128)(14, 114)(15, 132)(16, 115)(17, 118)(18, 117)(19, 136)(20, 119)(21, 122)(22, 121)(23, 139)(24, 126)(25, 140)(26, 141)(27, 142)(28, 130)(29, 143)(30, 144)(31, 134)(32, 131)(33, 133)(34, 138)(35, 135)(36, 137)(37, 151)(38, 152)(39, 153)(40, 154)(41, 155)(42, 156)(43, 147)(44, 145)(45, 146)(46, 150)(47, 148)(48, 149)(49, 161)(50, 162)(51, 160)(52, 158)(53, 159)(54, 157)(55, 165)(56, 167)(57, 170)(58, 163)(59, 174)(60, 164)(61, 177)(62, 179)(63, 178)(64, 166)(65, 181)(66, 183)(67, 182)(68, 168)(69, 186)(70, 169)(71, 172)(72, 171)(73, 190)(74, 173)(75, 176)(76, 175)(77, 193)(78, 180)(79, 194)(80, 195)(81, 196)(82, 184)(83, 197)(84, 198)(85, 188)(86, 185)(87, 187)(88, 192)(89, 189)(90, 191)(91, 205)(92, 206)(93, 207)(94, 208)(95, 209)(96, 210)(97, 201)(98, 199)(99, 200)(100, 204)(101, 202)(102, 203)(103, 215)(104, 216)(105, 214)(106, 212)(107, 213)(108, 211)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 27 e = 108 f = 27
	degree seq :: [ 8^27 ]

E28.79 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C3 x D18 (small group id <54, 3>)
Aut   = C6 x D18 (small group id <108, 23>)
|r| :: 2
Presentation :: [ Z^2, S^2, A * B, (S * Z)^2, S * B * S * A, A * Z * A * Z * A^-1 * Z * A^-1 * Z, (A^2 * Z * B^-1)^2, Z * A^-1 * Z * B * Z * A * Z * B^-1, B^2 * Z * B * A^-2 * Z * A^-1, B * Z * B * Z * B^-1 * Z * B^-1 * Z, A^5 * B^-4 ]
Map:: non-degenerate
	R = (1, 56, 110, 164, 2, 55, 109, 163)(3, 61, 115, 169, 7, 57, 111, 165)(4, 63, 117, 171, 9, 58, 112, 166)(5, 65, 119, 173, 11, 59, 113, 167)(6, 67, 121, 175, 13, 60, 114, 168)(8, 71, 125, 179, 17, 62, 116, 170)(10, 75, 129, 183, 21, 64, 118, 172)(12, 79, 133, 187, 25, 66, 120, 174)(14, 83, 137, 191, 29, 68, 122, 176)(15, 77, 131, 185, 23, 69, 123, 177)(16, 81, 135, 189, 27, 70, 124, 178)(18, 84, 138, 192, 30, 72, 126, 180)(19, 78, 132, 186, 24, 73, 127, 181)(20, 82, 136, 190, 28, 74, 128, 182)(22, 80, 134, 188, 26, 76, 130, 184)(31, 95, 149, 203, 41, 85, 139, 193)(32, 99, 153, 207, 45, 86, 140, 194)(33, 93, 147, 201, 39, 87, 141, 195)(34, 98, 152, 206, 44, 88, 142, 196)(35, 101, 155, 209, 47, 89, 143, 197)(36, 96, 150, 204, 42, 90, 144, 198)(37, 94, 148, 202, 40, 91, 145, 199)(38, 103, 157, 211, 49, 92, 146, 200)(43, 105, 159, 213, 51, 97, 151, 205)(46, 107, 161, 215, 53, 100, 154, 208)(48, 108, 162, 216, 54, 102, 156, 210)(50, 106, 160, 214, 52, 104, 158, 212)
	L = (1, 111)(2, 113)(3, 116)(4, 109)(5, 120)(6, 110)(7, 123)(8, 126)(9, 127)(10, 112)(11, 131)(12, 134)(13, 135)(14, 114)(15, 139)(16, 115)(17, 141)(18, 143)(19, 144)(20, 117)(21, 145)(22, 118)(23, 147)(24, 119)(25, 149)(26, 151)(27, 152)(28, 121)(29, 153)(30, 122)(31, 129)(32, 124)(33, 128)(34, 125)(35, 146)(36, 157)(37, 158)(38, 130)(39, 137)(40, 132)(41, 136)(42, 133)(43, 154)(44, 161)(45, 162)(46, 138)(47, 140)(48, 142)(49, 156)(50, 155)(51, 148)(52, 150)(53, 160)(54, 159)(55, 165)(56, 167)(57, 170)(58, 163)(59, 174)(60, 164)(61, 177)(62, 180)(63, 181)(64, 166)(65, 185)(66, 188)(67, 189)(68, 168)(69, 193)(70, 169)(71, 195)(72, 197)(73, 198)(74, 171)(75, 199)(76, 172)(77, 201)(78, 173)(79, 203)(80, 205)(81, 206)(82, 175)(83, 207)(84, 176)(85, 183)(86, 178)(87, 182)(88, 179)(89, 200)(90, 211)(91, 212)(92, 184)(93, 191)(94, 186)(95, 190)(96, 187)(97, 208)(98, 215)(99, 216)(100, 192)(101, 194)(102, 196)(103, 210)(104, 209)(105, 202)(106, 204)(107, 214)(108, 213)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 27 e = 108 f = 27
	degree seq :: [ 8^27 ]

E28.80 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C18 x C3 (small group id <54, 9>)
Aut   = C18 x S3 (small group id <108, 24>)
|r| :: 2
Presentation :: [ Z^2, S^2, S * B * S * A, (S * Z)^2, B * Z * B^-1 * Z, (A, B^-1), A^-1 * Z * A * Z, B^-1 * A^-1 * B^-1 * A^-2 * B^-1, A^4 * B^-1 * A * B^-2 * A ]
Map:: non-degenerate
	R = (1, 56, 110, 164, 2, 55, 109, 163)(3, 61, 115, 169, 7, 57, 111, 165)(4, 62, 116, 170, 8, 58, 112, 166)(5, 63, 117, 171, 9, 59, 113, 167)(6, 64, 118, 172, 10, 60, 114, 168)(11, 73, 127, 181, 19, 65, 119, 173)(12, 74, 128, 182, 20, 66, 120, 174)(13, 75, 129, 183, 21, 67, 121, 175)(14, 76, 130, 184, 22, 68, 122, 176)(15, 77, 131, 185, 23, 69, 123, 177)(16, 78, 132, 186, 24, 70, 124, 178)(17, 79, 133, 187, 25, 71, 125, 179)(18, 80, 134, 188, 26, 72, 126, 180)(27, 89, 143, 197, 35, 81, 135, 189)(28, 90, 144, 198, 36, 82, 136, 190)(29, 91, 145, 199, 37, 83, 137, 191)(30, 92, 146, 200, 38, 84, 138, 192)(31, 93, 147, 201, 39, 85, 139, 193)(32, 94, 148, 202, 40, 86, 140, 194)(33, 95, 149, 203, 41, 87, 141, 195)(34, 96, 150, 204, 42, 88, 142, 196)(43, 103, 157, 211, 49, 97, 151, 205)(44, 104, 158, 212, 50, 98, 152, 206)(45, 105, 159, 213, 51, 99, 153, 207)(46, 106, 160, 214, 52, 100, 154, 208)(47, 107, 161, 215, 53, 101, 155, 209)(48, 108, 162, 216, 54, 102, 156, 210)
	L = (1, 111)(2, 115)(3, 119)(4, 120)(5, 109)(6, 121)(7, 127)(8, 128)(9, 110)(10, 129)(11, 135)(12, 136)(13, 137)(14, 138)(15, 112)(16, 113)(17, 114)(18, 139)(19, 143)(20, 144)(21, 145)(22, 146)(23, 116)(24, 117)(25, 118)(26, 147)(27, 151)(28, 126)(29, 152)(30, 125)(31, 153)(32, 124)(33, 122)(34, 123)(35, 157)(36, 134)(37, 158)(38, 133)(39, 159)(40, 132)(41, 130)(42, 131)(43, 155)(44, 156)(45, 154)(46, 142)(47, 140)(48, 141)(49, 161)(50, 162)(51, 160)(52, 150)(53, 148)(54, 149)(55, 168)(56, 172)(57, 175)(58, 163)(59, 179)(60, 180)(61, 183)(62, 164)(63, 187)(64, 188)(65, 191)(66, 165)(67, 193)(68, 166)(69, 167)(70, 192)(71, 190)(72, 189)(73, 199)(74, 169)(75, 201)(76, 170)(77, 171)(78, 200)(79, 198)(80, 197)(81, 206)(82, 173)(83, 207)(84, 174)(85, 205)(86, 176)(87, 177)(88, 178)(89, 212)(90, 181)(91, 213)(92, 182)(93, 211)(94, 184)(95, 185)(96, 186)(97, 210)(98, 208)(99, 209)(100, 194)(101, 195)(102, 196)(103, 216)(104, 214)(105, 215)(106, 202)(107, 203)(108, 204)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 27 e = 108 f = 27
	degree seq :: [ 8^27 ]

E28.81 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = C18 x S3 (small group id <108, 24>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^-1 * A^-1, (S * Z)^2, S * B * S * A, A * Z * B * Z * A^-1 * Z * B^-1 * Z, B^3 * Z * B^-3 * Z, B * Z * A^2 * B^-1 * Z * A^-2, Z * A^-1 * Z * A * Z * A * Z * A^-1, A^3 * Z * A^-3 * Z, B^2 * Z * A * B^-2 * Z * A^-1, Z * B^-1 * Z * B * Z * B * Z * B^-1, A^5 * B^-4 ]
Map:: non-degenerate
	R = (1, 56, 110, 164, 2, 55, 109, 163)(3, 61, 115, 169, 7, 57, 111, 165)(4, 63, 117, 171, 9, 58, 112, 166)(5, 65, 119, 173, 11, 59, 113, 167)(6, 67, 121, 175, 13, 60, 114, 168)(8, 71, 125, 179, 17, 62, 116, 170)(10, 75, 129, 183, 21, 64, 118, 172)(12, 79, 133, 187, 25, 66, 120, 174)(14, 83, 137, 191, 29, 68, 122, 176)(15, 77, 131, 185, 23, 69, 123, 177)(16, 81, 135, 189, 27, 70, 124, 178)(18, 80, 134, 188, 26, 72, 126, 180)(19, 78, 132, 186, 24, 73, 127, 181)(20, 82, 136, 190, 28, 74, 128, 182)(22, 84, 138, 192, 30, 76, 130, 184)(31, 95, 149, 203, 41, 85, 139, 193)(32, 94, 148, 202, 40, 86, 140, 194)(33, 93, 147, 201, 39, 87, 141, 195)(34, 96, 150, 204, 42, 88, 142, 196)(35, 101, 155, 209, 47, 89, 143, 197)(36, 99, 153, 207, 45, 90, 144, 198)(37, 98, 152, 206, 44, 91, 145, 199)(38, 103, 157, 211, 49, 92, 146, 200)(43, 105, 159, 213, 51, 97, 151, 205)(46, 107, 161, 215, 53, 100, 154, 208)(48, 106, 160, 214, 52, 102, 156, 210)(50, 108, 162, 216, 54, 104, 158, 212)
	L = (1, 111)(2, 113)(3, 116)(4, 109)(5, 120)(6, 110)(7, 123)(8, 126)(9, 127)(10, 112)(11, 131)(12, 134)(13, 135)(14, 114)(15, 139)(16, 115)(17, 141)(18, 143)(19, 142)(20, 117)(21, 140)(22, 118)(23, 147)(24, 119)(25, 149)(26, 151)(27, 150)(28, 121)(29, 148)(30, 122)(31, 155)(32, 124)(33, 156)(34, 125)(35, 146)(36, 128)(37, 129)(38, 130)(39, 159)(40, 132)(41, 160)(42, 133)(43, 154)(44, 136)(45, 137)(46, 138)(47, 158)(48, 157)(49, 144)(50, 145)(51, 162)(52, 161)(53, 152)(54, 153)(55, 165)(56, 167)(57, 170)(58, 163)(59, 174)(60, 164)(61, 177)(62, 180)(63, 181)(64, 166)(65, 185)(66, 188)(67, 189)(68, 168)(69, 193)(70, 169)(71, 195)(72, 197)(73, 196)(74, 171)(75, 194)(76, 172)(77, 201)(78, 173)(79, 203)(80, 205)(81, 204)(82, 175)(83, 202)(84, 176)(85, 209)(86, 178)(87, 210)(88, 179)(89, 200)(90, 182)(91, 183)(92, 184)(93, 213)(94, 186)(95, 214)(96, 187)(97, 208)(98, 190)(99, 191)(100, 192)(101, 212)(102, 211)(103, 198)(104, 199)(105, 216)(106, 215)(107, 206)(108, 207)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 27 e = 108 f = 27
	degree seq :: [ 8^27 ]

E28.82 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = C18 x S3 (small group id <108, 24>)
|r| :: 2
Presentation :: [ Z^2, S^2, A * B, S * A * S * B, (S * Z)^2, Z * B^-1 * A * Z * B^2, A^2 * Z * A^-2 * Z, A * Z * A^-1 * Z * A * Z * A^-1 * Z * A^-1 * Z * A * Z, B^5 * Z * A^-3 * Z * A^-1 * Z, B^3 * Z * B * Z * A^-5 * Z, B * Z * A * Z * B * Z * B^-1 * Z * B^-1 * Z * A^-1 * Z ]
Map:: non-degenerate
	R = (1, 56, 110, 164, 2, 55, 109, 163)(3, 61, 115, 169, 7, 57, 111, 165)(4, 63, 117, 171, 9, 58, 112, 166)(5, 65, 119, 173, 11, 59, 113, 167)(6, 67, 121, 175, 13, 60, 114, 168)(8, 66, 120, 174, 12, 62, 116, 170)(10, 68, 122, 176, 14, 64, 118, 172)(15, 79, 133, 187, 25, 69, 123, 177)(16, 81, 135, 189, 27, 70, 124, 178)(17, 80, 134, 188, 26, 71, 125, 179)(18, 83, 137, 191, 29, 72, 126, 180)(19, 84, 138, 192, 30, 73, 127, 181)(20, 86, 140, 194, 32, 74, 128, 182)(21, 88, 142, 196, 34, 75, 129, 183)(22, 87, 141, 195, 33, 76, 130, 184)(23, 90, 144, 198, 36, 77, 131, 185)(24, 91, 145, 199, 37, 78, 132, 186)(28, 89, 143, 197, 35, 82, 136, 190)(31, 92, 146, 200, 38, 85, 139, 193)(39, 101, 155, 209, 47, 93, 147, 201)(40, 102, 156, 210, 48, 94, 148, 202)(41, 108, 162, 216, 54, 95, 149, 203)(42, 104, 158, 212, 50, 96, 150, 204)(43, 107, 161, 215, 53, 97, 151, 205)(44, 106, 160, 214, 52, 98, 152, 206)(45, 105, 159, 213, 51, 99, 153, 207)(46, 103, 157, 211, 49, 100, 154, 208)
	L = (1, 111)(2, 113)(3, 116)(4, 109)(5, 120)(6, 110)(7, 123)(8, 125)(9, 124)(10, 112)(11, 128)(12, 130)(13, 129)(14, 114)(15, 134)(16, 115)(17, 136)(18, 117)(19, 118)(20, 141)(21, 119)(22, 143)(23, 121)(24, 122)(25, 147)(26, 149)(27, 148)(28, 151)(29, 150)(30, 126)(31, 127)(32, 155)(33, 157)(34, 156)(35, 159)(36, 158)(37, 131)(38, 132)(39, 162)(40, 133)(41, 161)(42, 135)(43, 160)(44, 137)(45, 138)(46, 139)(47, 154)(48, 140)(49, 153)(50, 142)(51, 152)(52, 144)(53, 145)(54, 146)(55, 165)(56, 167)(57, 170)(58, 163)(59, 174)(60, 164)(61, 177)(62, 179)(63, 178)(64, 166)(65, 182)(66, 184)(67, 183)(68, 168)(69, 188)(70, 169)(71, 190)(72, 171)(73, 172)(74, 195)(75, 173)(76, 197)(77, 175)(78, 176)(79, 201)(80, 203)(81, 202)(82, 205)(83, 204)(84, 180)(85, 181)(86, 209)(87, 211)(88, 210)(89, 213)(90, 212)(91, 185)(92, 186)(93, 216)(94, 187)(95, 215)(96, 189)(97, 214)(98, 191)(99, 192)(100, 193)(101, 208)(102, 194)(103, 207)(104, 196)(105, 206)(106, 198)(107, 199)(108, 200)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 27 e = 108 f = 27
	degree seq :: [ 8^27 ]

E28.83 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^3, A^3, (S * Z)^2, S * A * S * B, Z * A^-1 * B * A * Z * A^-1, (A^-1 * B^-1)^3, (B * A^-1)^3, (B * Z * A^-1)^2, B^-1 * Z * B * Z * B * A^-1, B * A * Z * A^-1 * Z * A^-1, (B^-1 * A)^3, (Z * B^-1 * A)^2, (A^-1 * B^-1)^3, A * B * Z * B^-1 * A^-1 * Z, Z * B * A^-1 * B * Z * B * A ]
Map:: polytopal non-degenerate
	R = (1, 56, 110, 164, 2, 55, 109, 163)(3, 65, 119, 173, 11, 57, 111, 165)(4, 68, 122, 176, 14, 58, 112, 166)(5, 71, 125, 179, 17, 59, 113, 167)(6, 74, 128, 182, 20, 60, 114, 168)(7, 77, 131, 185, 23, 61, 115, 169)(8, 80, 134, 188, 26, 62, 116, 170)(9, 83, 137, 191, 29, 63, 117, 171)(10, 86, 140, 194, 32, 64, 118, 172)(12, 78, 132, 186, 24, 66, 120, 174)(13, 82, 136, 190, 28, 67, 121, 175)(15, 89, 143, 197, 35, 69, 123, 177)(16, 79, 133, 187, 25, 70, 124, 178)(18, 87, 141, 195, 33, 72, 126, 180)(19, 102, 156, 210, 48, 73, 127, 181)(21, 84, 138, 192, 30, 75, 129, 183)(22, 88, 142, 196, 34, 76, 130, 184)(27, 101, 155, 209, 47, 81, 135, 189)(31, 94, 148, 202, 40, 85, 139, 193)(36, 105, 159, 213, 51, 90, 144, 198)(37, 108, 162, 216, 54, 91, 145, 199)(38, 97, 151, 205, 43, 92, 146, 200)(39, 103, 157, 211, 49, 93, 147, 201)(41, 96, 150, 204, 42, 95, 149, 203)(44, 107, 161, 215, 53, 98, 152, 206)(45, 106, 160, 214, 52, 99, 153, 207)(46, 104, 158, 212, 50, 100, 154, 208)
	L = (1, 111)(2, 115)(3, 113)(4, 123)(5, 109)(6, 129)(7, 117)(8, 135)(9, 110)(10, 141)(11, 143)(12, 146)(13, 148)(14, 150)(15, 124)(16, 112)(17, 151)(18, 131)(19, 137)(20, 153)(21, 130)(22, 114)(23, 155)(24, 161)(25, 156)(26, 159)(27, 136)(28, 116)(29, 152)(30, 119)(31, 125)(32, 162)(33, 142)(34, 118)(35, 138)(36, 133)(37, 122)(38, 147)(39, 120)(40, 149)(41, 121)(42, 145)(43, 139)(44, 127)(45, 157)(46, 132)(47, 126)(48, 144)(49, 128)(50, 140)(51, 160)(52, 134)(53, 154)(54, 158)(55, 168)(56, 172)(57, 175)(58, 163)(59, 181)(60, 166)(61, 187)(62, 164)(63, 193)(64, 170)(65, 199)(66, 165)(67, 174)(68, 205)(69, 188)(70, 194)(71, 208)(72, 167)(73, 180)(74, 210)(75, 209)(76, 200)(77, 214)(78, 169)(79, 186)(80, 206)(81, 176)(82, 182)(83, 201)(84, 171)(85, 192)(86, 202)(87, 197)(88, 215)(89, 211)(90, 173)(91, 198)(92, 213)(93, 216)(94, 178)(95, 185)(96, 196)(97, 189)(98, 177)(99, 179)(100, 207)(101, 212)(102, 190)(103, 195)(104, 183)(105, 184)(106, 203)(107, 204)(108, 191)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E28.85
Transitivity :: VT+
Graph:: simple
	v = 27 e = 108 f = 27
	degree seq :: [ 8^27 ]

E28.84 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^3, B^3, S * B * S * A, (S * Z)^2, (B * A^-1)^3, Z * A * Z * A * B^-1 * A^-1, (A * B)^3, B * Z * B^-1 * Z * B^-1 * A, A * Z * A^-1 * B^-1 * Z * B, (B * Z * A^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 56, 110, 164, 2, 55, 109, 163)(3, 65, 119, 173, 11, 57, 111, 165)(4, 68, 122, 176, 14, 58, 112, 166)(5, 71, 125, 179, 17, 59, 113, 167)(6, 74, 128, 182, 20, 60, 114, 168)(7, 77, 131, 185, 23, 61, 115, 169)(8, 80, 134, 188, 26, 62, 116, 170)(9, 83, 137, 191, 29, 63, 117, 171)(10, 86, 140, 194, 32, 64, 118, 172)(12, 92, 146, 200, 38, 66, 120, 174)(13, 82, 136, 190, 28, 67, 121, 175)(15, 81, 135, 189, 27, 69, 123, 177)(16, 79, 133, 187, 25, 70, 124, 178)(18, 87, 141, 195, 33, 72, 126, 180)(19, 85, 139, 193, 31, 73, 127, 181)(21, 84, 138, 192, 30, 75, 129, 183)(22, 100, 154, 208, 46, 76, 130, 184)(24, 103, 157, 211, 49, 78, 132, 186)(34, 94, 148, 202, 40, 88, 142, 196)(35, 98, 152, 206, 44, 89, 143, 197)(36, 96, 150, 204, 42, 90, 144, 198)(37, 108, 162, 216, 54, 91, 145, 199)(39, 107, 161, 215, 53, 93, 147, 201)(41, 104, 158, 212, 50, 95, 149, 203)(43, 101, 155, 209, 47, 97, 151, 205)(45, 106, 160, 214, 52, 99, 153, 207)(48, 105, 159, 213, 51, 102, 156, 210)
	L = (1, 111)(2, 115)(3, 113)(4, 123)(5, 109)(6, 129)(7, 117)(8, 135)(9, 110)(10, 141)(11, 132)(12, 147)(13, 148)(14, 149)(15, 124)(16, 112)(17, 133)(18, 156)(19, 158)(20, 153)(21, 130)(22, 114)(23, 120)(24, 144)(25, 154)(26, 152)(27, 136)(28, 116)(29, 121)(30, 155)(31, 143)(32, 162)(33, 142)(34, 118)(35, 161)(36, 119)(37, 122)(38, 138)(39, 131)(40, 137)(41, 145)(42, 127)(43, 140)(44, 160)(45, 159)(46, 125)(47, 146)(48, 157)(49, 126)(50, 150)(51, 128)(52, 134)(53, 139)(54, 151)(55, 168)(56, 172)(57, 175)(58, 163)(59, 181)(60, 166)(61, 187)(62, 164)(63, 193)(64, 170)(65, 199)(66, 165)(67, 174)(68, 195)(69, 205)(70, 206)(71, 209)(72, 167)(73, 180)(74, 196)(75, 211)(76, 201)(77, 214)(78, 169)(79, 186)(80, 183)(81, 213)(82, 203)(83, 210)(84, 171)(85, 192)(86, 184)(87, 200)(88, 198)(89, 173)(90, 182)(91, 197)(92, 176)(93, 194)(94, 178)(95, 208)(96, 177)(97, 204)(98, 202)(99, 179)(100, 190)(101, 207)(102, 216)(103, 188)(104, 185)(105, 215)(106, 212)(107, 189)(108, 191)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: simple
	v = 27 e = 108 f = 27
	degree seq :: [ 8^27 ]

E28.85 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^3, B^3, (S * Z)^2, S * B * S * A, B * Z * A^-1 * Z, (B * A^-1)^3, (B * A)^3 ]
Map:: polytopal non-degenerate
	R = (1, 56, 110, 164, 2, 55, 109, 163)(3, 62, 116, 170, 8, 57, 111, 165)(4, 61, 115, 169, 7, 58, 112, 166)(5, 64, 118, 172, 10, 59, 113, 167)(6, 63, 117, 171, 9, 60, 114, 168)(11, 75, 129, 183, 21, 65, 119, 173)(12, 76, 130, 184, 22, 66, 120, 174)(13, 73, 127, 181, 19, 67, 121, 175)(14, 74, 128, 182, 20, 68, 122, 176)(15, 79, 133, 187, 25, 69, 123, 177)(16, 80, 134, 188, 26, 70, 124, 178)(17, 77, 131, 185, 23, 71, 125, 179)(18, 78, 132, 186, 24, 72, 126, 180)(27, 97, 151, 205, 43, 81, 135, 189)(28, 98, 152, 206, 44, 82, 136, 190)(29, 95, 149, 203, 41, 83, 137, 191)(30, 99, 153, 207, 45, 84, 138, 192)(31, 93, 147, 201, 39, 85, 139, 193)(32, 94, 148, 202, 40, 86, 140, 194)(33, 96, 150, 204, 42, 87, 141, 195)(34, 103, 157, 211, 49, 88, 142, 196)(35, 101, 155, 209, 47, 89, 143, 197)(36, 104, 158, 212, 50, 90, 144, 198)(37, 100, 154, 208, 46, 91, 145, 199)(38, 102, 156, 210, 48, 92, 146, 200)(51, 108, 162, 216, 54, 105, 159, 213)(52, 107, 161, 215, 53, 106, 160, 214)
	L = (1, 111)(2, 115)(3, 113)(4, 121)(5, 109)(6, 125)(7, 117)(8, 129)(9, 110)(10, 133)(11, 135)(12, 137)(13, 122)(14, 112)(15, 142)(16, 144)(17, 126)(18, 114)(19, 147)(20, 149)(21, 130)(22, 116)(23, 154)(24, 156)(25, 134)(26, 118)(27, 136)(28, 119)(29, 138)(30, 120)(31, 124)(32, 146)(33, 159)(34, 143)(35, 123)(36, 139)(37, 141)(38, 160)(39, 148)(40, 127)(41, 150)(42, 128)(43, 132)(44, 158)(45, 161)(46, 155)(47, 131)(48, 151)(49, 153)(50, 162)(51, 145)(52, 140)(53, 157)(54, 152)(55, 168)(56, 172)(57, 174)(58, 163)(59, 178)(60, 166)(61, 182)(62, 164)(63, 186)(64, 170)(65, 165)(66, 173)(67, 194)(68, 195)(69, 167)(70, 177)(71, 197)(72, 189)(73, 169)(74, 181)(75, 206)(76, 207)(77, 171)(78, 185)(79, 209)(80, 201)(81, 200)(82, 213)(83, 176)(84, 196)(85, 175)(86, 193)(87, 191)(88, 214)(89, 199)(90, 190)(91, 179)(92, 180)(93, 212)(94, 215)(95, 184)(96, 208)(97, 183)(98, 205)(99, 203)(100, 216)(101, 211)(102, 202)(103, 187)(104, 188)(105, 198)(106, 192)(107, 210)(108, 204)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E28.83
Transitivity :: VT+
Graph::
	v = 27 e = 108 f = 27
	degree seq :: [ 8^27 ]

E28.86 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Z^2, S^2, B * A^-1, S * A * S * B, (S * Z)^2, (A^-1 * Z)^3, A^-2 * B^-1 * A^-3, A^2 * Z * B * A * Z * A^-1 * Z * A * Z * A^-1 * Z, A^3 * Z * B * A^2 * Z * A^-3 * Z ]
Map::
	R = (1, 56, 110, 164, 2, 55, 109, 163)(3, 61, 115, 169, 7, 57, 111, 165)(4, 63, 117, 171, 9, 58, 112, 166)(5, 65, 119, 173, 11, 59, 113, 167)(6, 67, 121, 175, 13, 60, 114, 168)(8, 70, 124, 178, 16, 62, 116, 170)(10, 73, 127, 181, 19, 64, 118, 172)(12, 75, 129, 183, 21, 66, 120, 174)(14, 78, 132, 186, 24, 68, 122, 176)(15, 79, 133, 187, 25, 69, 123, 177)(17, 82, 136, 190, 28, 71, 125, 179)(18, 83, 137, 191, 29, 72, 126, 180)(20, 86, 140, 194, 32, 74, 128, 182)(22, 89, 143, 197, 35, 76, 130, 184)(23, 90, 144, 198, 36, 77, 131, 185)(26, 94, 148, 202, 40, 80, 134, 188)(27, 95, 149, 203, 41, 81, 135, 189)(30, 99, 153, 207, 45, 84, 138, 192)(31, 97, 151, 205, 43, 85, 139, 193)(33, 102, 156, 210, 48, 87, 141, 195)(34, 103, 157, 211, 49, 88, 142, 196)(37, 107, 161, 215, 53, 91, 145, 199)(38, 105, 159, 213, 51, 92, 146, 200)(39, 101, 155, 209, 47, 93, 147, 201)(42, 108, 162, 216, 54, 96, 150, 204)(44, 106, 160, 214, 52, 98, 152, 206)(46, 104, 158, 212, 50, 100, 154, 208)
	L = (1, 111)(2, 113)(3, 116)(4, 109)(5, 120)(6, 110)(7, 121)(8, 125)(9, 126)(10, 112)(11, 117)(12, 130)(13, 131)(14, 114)(15, 115)(16, 133)(17, 118)(18, 138)(19, 139)(20, 119)(21, 140)(22, 122)(23, 145)(24, 146)(25, 147)(26, 123)(27, 124)(28, 149)(29, 127)(30, 141)(31, 154)(32, 155)(33, 128)(34, 129)(35, 157)(36, 132)(37, 134)(38, 162)(39, 156)(40, 158)(41, 159)(42, 135)(43, 136)(44, 137)(45, 160)(46, 161)(47, 148)(48, 150)(49, 151)(50, 142)(51, 143)(52, 144)(53, 152)(54, 153)(55, 166)(56, 168)(57, 163)(58, 172)(59, 164)(60, 176)(61, 177)(62, 165)(63, 173)(64, 179)(65, 182)(66, 167)(67, 169)(68, 184)(69, 188)(70, 189)(71, 170)(72, 171)(73, 191)(74, 195)(75, 196)(76, 174)(77, 175)(78, 198)(79, 178)(80, 199)(81, 204)(82, 205)(83, 206)(84, 180)(85, 181)(86, 183)(87, 192)(88, 212)(89, 213)(90, 214)(91, 185)(92, 186)(93, 187)(94, 209)(95, 190)(96, 210)(97, 211)(98, 215)(99, 216)(100, 193)(101, 194)(102, 201)(103, 197)(104, 202)(105, 203)(106, 207)(107, 208)(108, 200)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 27 e = 108 f = 27
	degree seq :: [ 8^27 ]

E28.87 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^-2 * A^2, (S * Z)^2, S * B * S * A, B^-2 * Z * B * A * Z, A^-1 * B^-4 * A^-1, (B^-1 * Z)^3, (B * Z * A^-1)^2, B^-1 * Z * A^2 * Z * A^-1, B^-1 * A * B^-1 * A * B * A^-1, (A * Z)^3, A^-1 * Z * A * B * Z * B^-1, (B^-1 * A^-1)^3, A^-1 * Z * B * Z * B^-3 * Z ]
Map:: non-degenerate
	R = (1, 56, 110, 164, 2, 55, 109, 163)(3, 65, 119, 173, 11, 57, 111, 165)(4, 69, 123, 177, 15, 58, 112, 166)(5, 72, 126, 180, 18, 59, 113, 167)(6, 75, 129, 183, 21, 60, 114, 168)(7, 77, 131, 185, 23, 61, 115, 169)(8, 81, 135, 189, 27, 62, 116, 170)(9, 84, 138, 192, 30, 63, 117, 171)(10, 87, 141, 195, 33, 64, 118, 172)(12, 82, 136, 190, 28, 66, 120, 174)(13, 79, 133, 187, 25, 67, 121, 175)(14, 83, 137, 191, 29, 68, 122, 176)(16, 78, 132, 186, 24, 70, 124, 178)(17, 80, 134, 188, 26, 71, 125, 179)(19, 86, 140, 194, 32, 73, 127, 181)(20, 85, 139, 193, 31, 74, 128, 182)(22, 88, 142, 196, 34, 76, 130, 184)(35, 106, 160, 214, 52, 89, 143, 197)(36, 103, 157, 211, 49, 90, 144, 198)(37, 102, 156, 210, 48, 91, 145, 199)(38, 101, 155, 209, 47, 92, 146, 200)(39, 100, 154, 208, 46, 93, 147, 201)(40, 107, 161, 215, 53, 94, 148, 202)(41, 108, 162, 216, 54, 95, 149, 203)(42, 99, 153, 207, 45, 96, 150, 204)(43, 104, 158, 212, 50, 97, 151, 205)(44, 105, 159, 213, 51, 98, 152, 206)
	L = (1, 111)(2, 115)(3, 120)(4, 124)(5, 109)(6, 125)(7, 132)(8, 136)(9, 110)(10, 137)(11, 138)(12, 146)(13, 148)(14, 149)(15, 143)(16, 147)(17, 112)(18, 151)(19, 113)(20, 150)(21, 144)(22, 114)(23, 126)(24, 156)(25, 158)(26, 159)(27, 153)(28, 157)(29, 116)(30, 161)(31, 117)(32, 160)(33, 154)(34, 118)(35, 155)(36, 119)(37, 123)(38, 127)(39, 130)(40, 128)(41, 121)(42, 122)(43, 162)(44, 129)(45, 145)(46, 131)(47, 135)(48, 139)(49, 142)(50, 140)(51, 133)(52, 134)(53, 152)(54, 141)(55, 168)(56, 172)(57, 176)(58, 163)(59, 182)(60, 181)(61, 188)(62, 164)(63, 194)(64, 193)(65, 199)(66, 166)(67, 165)(68, 167)(69, 205)(70, 203)(71, 204)(72, 206)(73, 201)(74, 200)(75, 189)(76, 202)(77, 209)(78, 170)(79, 169)(80, 171)(81, 215)(82, 213)(83, 214)(84, 216)(85, 211)(86, 210)(87, 177)(88, 212)(89, 173)(90, 180)(91, 183)(92, 175)(93, 174)(94, 178)(95, 179)(96, 184)(97, 207)(98, 208)(99, 185)(100, 192)(101, 195)(102, 187)(103, 186)(104, 190)(105, 191)(106, 196)(107, 197)(108, 198)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E28.88
Transitivity :: VT+
Graph:: simple
	v = 27 e = 108 f = 27
	degree seq :: [ 8^27 ]

E28.88 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^2 * A^-2, (S * Z)^2, S * B * S * A, (B * Z * A^-1)^2, A^-1 * Z * A^2 * Z * B^-1, (A * Z)^3, A^-1 * B^-4 * A^-1, (B^-1 * A^-1)^3, B^-1 * A * B^-1 * A * B * A^-1, B^-1 * Z * B * A * Z * A^-1, (B * Z)^3 ]
Map:: non-degenerate
	R = (1, 56, 110, 164, 2, 55, 109, 163)(3, 65, 119, 173, 11, 57, 111, 165)(4, 69, 123, 177, 15, 58, 112, 166)(5, 72, 126, 180, 18, 59, 113, 167)(6, 75, 129, 183, 21, 60, 114, 168)(7, 77, 131, 185, 23, 61, 115, 169)(8, 81, 135, 189, 27, 62, 116, 170)(9, 84, 138, 192, 30, 63, 117, 171)(10, 87, 141, 195, 33, 64, 118, 172)(12, 79, 133, 187, 25, 66, 120, 174)(13, 78, 132, 186, 24, 67, 121, 175)(14, 83, 137, 191, 29, 68, 122, 176)(16, 82, 136, 190, 28, 70, 124, 178)(17, 80, 134, 188, 26, 71, 125, 179)(19, 88, 142, 196, 34, 73, 127, 181)(20, 86, 140, 194, 32, 74, 128, 182)(22, 85, 139, 193, 31, 76, 130, 184)(35, 106, 160, 214, 52, 89, 143, 197)(36, 104, 158, 212, 50, 90, 144, 198)(37, 103, 157, 211, 49, 91, 145, 199)(38, 107, 161, 215, 53, 92, 146, 200)(39, 101, 155, 209, 47, 93, 147, 201)(40, 100, 154, 208, 46, 94, 148, 202)(41, 108, 162, 216, 54, 95, 149, 203)(42, 99, 153, 207, 45, 96, 150, 204)(43, 102, 156, 210, 48, 97, 151, 205)(44, 105, 159, 213, 51, 98, 152, 206)
	L = (1, 111)(2, 115)(3, 120)(4, 124)(5, 109)(6, 125)(7, 132)(8, 136)(9, 110)(10, 137)(11, 138)(12, 146)(13, 148)(14, 149)(15, 143)(16, 147)(17, 112)(18, 145)(19, 113)(20, 150)(21, 151)(22, 114)(23, 126)(24, 156)(25, 158)(26, 159)(27, 153)(28, 157)(29, 116)(30, 155)(31, 117)(32, 160)(33, 161)(34, 118)(35, 154)(36, 119)(37, 123)(38, 127)(39, 130)(40, 128)(41, 121)(42, 122)(43, 162)(44, 129)(45, 144)(46, 131)(47, 135)(48, 139)(49, 142)(50, 140)(51, 133)(52, 134)(53, 152)(54, 141)(55, 168)(56, 172)(57, 176)(58, 163)(59, 182)(60, 181)(61, 188)(62, 164)(63, 194)(64, 193)(65, 199)(66, 166)(67, 165)(68, 167)(69, 205)(70, 203)(71, 204)(72, 206)(73, 201)(74, 200)(75, 189)(76, 202)(77, 209)(78, 170)(79, 169)(80, 171)(81, 215)(82, 213)(83, 214)(84, 216)(85, 211)(86, 210)(87, 177)(88, 212)(89, 173)(90, 183)(91, 207)(92, 175)(93, 174)(94, 178)(95, 179)(96, 184)(97, 180)(98, 208)(99, 185)(100, 195)(101, 197)(102, 187)(103, 186)(104, 190)(105, 191)(106, 196)(107, 192)(108, 198)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E28.87
Transitivity :: VT+
Graph:: simple
	v = 27 e = 108 f = 27
	degree seq :: [ 8^27 ]

E28.89 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
|r| :: 2
Presentation :: [ Z^2, S^2, B * A, A * B^-2, (S * Z)^2, S * A * S * B, Z * B * Z * B * Z * A^-1 * Z * A^-1 * Z * A^-1 * Z * B, A * Z * B * Z * A * Z * A^-1 * Z * B^-1 * Z * A^-1 * Z, Z * A * Z * B * Z * B^-1 * Z * A^-1 * Z * B^-1 * Z * B ]
Map:: non-degenerate
	R = (1, 56, 110, 164, 2, 55, 109, 163)(3, 61, 115, 169, 7, 57, 111, 165)(4, 62, 116, 170, 8, 58, 112, 166)(5, 63, 117, 171, 9, 59, 113, 167)(6, 64, 118, 172, 10, 60, 114, 168)(11, 73, 127, 181, 19, 65, 119, 173)(12, 74, 128, 182, 20, 66, 120, 174)(13, 75, 129, 183, 21, 67, 121, 175)(14, 76, 130, 184, 22, 68, 122, 176)(15, 77, 131, 185, 23, 69, 123, 177)(16, 78, 132, 186, 24, 70, 124, 178)(17, 79, 133, 187, 25, 71, 125, 179)(18, 80, 134, 188, 26, 72, 126, 180)(27, 96, 150, 204, 42, 81, 135, 189)(28, 97, 151, 205, 43, 82, 136, 190)(29, 91, 145, 199, 37, 83, 137, 191)(30, 98, 152, 206, 44, 84, 138, 192)(31, 99, 153, 207, 45, 85, 139, 193)(32, 94, 148, 202, 40, 86, 140, 194)(33, 100, 154, 208, 46, 87, 141, 195)(34, 89, 143, 197, 35, 88, 142, 196)(36, 101, 155, 209, 47, 90, 144, 198)(38, 102, 156, 210, 48, 92, 146, 200)(39, 103, 157, 211, 49, 93, 147, 201)(41, 104, 158, 212, 50, 95, 149, 203)(51, 108, 162, 216, 54, 105, 159, 213)(52, 107, 161, 215, 53, 106, 160, 214)
	L = (1, 111)(2, 113)(3, 112)(4, 109)(5, 114)(6, 110)(7, 119)(8, 121)(9, 123)(10, 125)(11, 120)(12, 115)(13, 122)(14, 116)(15, 124)(16, 117)(17, 126)(18, 118)(19, 135)(20, 137)(21, 139)(22, 141)(23, 143)(24, 145)(25, 147)(26, 149)(27, 136)(28, 127)(29, 138)(30, 128)(31, 140)(32, 129)(33, 142)(34, 130)(35, 144)(36, 131)(37, 146)(38, 132)(39, 148)(40, 133)(41, 150)(42, 134)(43, 154)(44, 160)(45, 152)(46, 159)(47, 158)(48, 162)(49, 156)(50, 161)(51, 151)(52, 153)(53, 155)(54, 157)(55, 165)(56, 167)(57, 166)(58, 163)(59, 168)(60, 164)(61, 173)(62, 175)(63, 177)(64, 179)(65, 174)(66, 169)(67, 176)(68, 170)(69, 178)(70, 171)(71, 180)(72, 172)(73, 189)(74, 191)(75, 193)(76, 195)(77, 197)(78, 199)(79, 201)(80, 203)(81, 190)(82, 181)(83, 192)(84, 182)(85, 194)(86, 183)(87, 196)(88, 184)(89, 198)(90, 185)(91, 200)(92, 186)(93, 202)(94, 187)(95, 204)(96, 188)(97, 208)(98, 214)(99, 206)(100, 213)(101, 212)(102, 216)(103, 210)(104, 215)(105, 205)(106, 207)(107, 209)(108, 211)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 27 e = 108 f = 27
	degree seq :: [ 8^27 ]

E28.90 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^-1 * B^-1, B * A, (S * Z)^2, S * B * S * A, A * B^-3 * A^2, Z * B^-1 * Z * A * Z * A, A^2 * Z * A^2 * Z * A^-1 * Z * B^-1 * Z * A^-1 * Z, B^2 * A^-1 * Z * B^2 * Z * B^-1 * Z * A^-2 * Z, B^2 * Z * B^2 * A^-1 * Z * A^-2 * Z * B^-1 * Z, A^3 * Z * A^2 * B^-1 * Z * A^-3 * Z ]
Map:: non-degenerate
	R = (1, 56, 110, 164, 2, 55, 109, 163)(3, 61, 115, 169, 7, 57, 111, 165)(4, 63, 117, 171, 9, 58, 112, 166)(5, 65, 119, 173, 11, 59, 113, 167)(6, 67, 121, 175, 13, 60, 114, 168)(8, 70, 124, 178, 16, 62, 116, 170)(10, 73, 127, 181, 19, 64, 118, 172)(12, 75, 129, 183, 21, 66, 120, 174)(14, 78, 132, 186, 24, 68, 122, 176)(15, 79, 133, 187, 25, 69, 123, 177)(17, 82, 136, 190, 28, 71, 125, 179)(18, 83, 137, 191, 29, 72, 126, 180)(20, 86, 140, 194, 32, 74, 128, 182)(22, 89, 143, 197, 35, 76, 130, 184)(23, 90, 144, 198, 36, 77, 131, 185)(26, 94, 148, 202, 40, 80, 134, 188)(27, 95, 149, 203, 41, 81, 135, 189)(30, 99, 153, 207, 45, 84, 138, 192)(31, 97, 151, 205, 43, 85, 139, 193)(33, 102, 156, 210, 48, 87, 141, 195)(34, 103, 157, 211, 49, 88, 142, 196)(37, 107, 161, 215, 53, 91, 145, 199)(38, 105, 159, 213, 51, 92, 146, 200)(39, 101, 155, 209, 47, 93, 147, 201)(42, 108, 162, 216, 54, 96, 150, 204)(44, 106, 160, 214, 52, 98, 152, 206)(46, 104, 158, 212, 50, 100, 154, 208)
	L = (1, 111)(2, 113)(3, 116)(4, 109)(5, 120)(6, 110)(7, 121)(8, 125)(9, 126)(10, 112)(11, 117)(12, 130)(13, 131)(14, 114)(15, 115)(16, 133)(17, 118)(18, 138)(19, 139)(20, 119)(21, 140)(22, 122)(23, 145)(24, 146)(25, 147)(26, 123)(27, 124)(28, 149)(29, 127)(30, 141)(31, 154)(32, 155)(33, 128)(34, 129)(35, 157)(36, 132)(37, 134)(38, 162)(39, 156)(40, 158)(41, 159)(42, 135)(43, 136)(44, 137)(45, 160)(46, 161)(47, 148)(48, 150)(49, 151)(50, 142)(51, 143)(52, 144)(53, 152)(54, 153)(55, 165)(56, 167)(57, 170)(58, 163)(59, 174)(60, 164)(61, 175)(62, 179)(63, 180)(64, 166)(65, 171)(66, 184)(67, 185)(68, 168)(69, 169)(70, 187)(71, 172)(72, 192)(73, 193)(74, 173)(75, 194)(76, 176)(77, 199)(78, 200)(79, 201)(80, 177)(81, 178)(82, 203)(83, 181)(84, 195)(85, 208)(86, 209)(87, 182)(88, 183)(89, 211)(90, 186)(91, 188)(92, 216)(93, 210)(94, 212)(95, 213)(96, 189)(97, 190)(98, 191)(99, 214)(100, 215)(101, 202)(102, 204)(103, 205)(104, 196)(105, 197)(106, 198)(107, 206)(108, 207)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 27 e = 108 f = 27
	degree seq :: [ 8^27 ]

E28.91 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = (C9 : C3) : C2 (small group id <54, 6>)
Aut   = C2 x ((C9 : C3) : C2) (small group id <108, 26>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^-1 * A^-1, S * B * S * A, (S * Z)^2, A^3 * B^-2 * A, Z * A * Z * B^-1 * A^2 * Z * A^-1, A * Z * A^3 * Z * A^-1 * Z, B^-1 * Z * B * Z * B^-1 * Z * A^2 ]
Map:: non-degenerate
	R = (1, 56, 110, 164, 2, 55, 109, 163)(3, 61, 115, 169, 7, 57, 111, 165)(4, 63, 117, 171, 9, 58, 112, 166)(5, 65, 119, 173, 11, 59, 113, 167)(6, 67, 121, 175, 13, 60, 114, 168)(8, 71, 125, 179, 17, 62, 116, 170)(10, 75, 129, 183, 21, 64, 118, 172)(12, 78, 132, 186, 24, 66, 120, 174)(14, 82, 136, 190, 28, 68, 122, 176)(15, 83, 137, 191, 29, 69, 123, 177)(16, 84, 138, 192, 30, 70, 124, 178)(18, 80, 134, 188, 26, 72, 126, 180)(19, 79, 133, 187, 25, 73, 127, 181)(20, 86, 140, 194, 32, 74, 128, 182)(22, 90, 144, 198, 36, 76, 130, 184)(23, 91, 145, 199, 37, 77, 131, 185)(27, 93, 147, 201, 39, 81, 135, 189)(31, 95, 149, 203, 41, 85, 139, 193)(33, 100, 154, 208, 46, 87, 141, 195)(34, 92, 146, 200, 38, 88, 142, 196)(35, 101, 155, 209, 47, 89, 143, 197)(40, 106, 160, 214, 52, 94, 148, 202)(42, 107, 161, 215, 53, 96, 150, 204)(43, 108, 162, 216, 54, 97, 151, 205)(44, 104, 158, 212, 50, 98, 152, 206)(45, 105, 159, 213, 51, 99, 153, 207)(48, 103, 157, 211, 49, 102, 156, 210)
	L = (1, 111)(2, 113)(3, 116)(4, 109)(5, 120)(6, 110)(7, 123)(8, 126)(9, 127)(10, 112)(11, 130)(12, 133)(13, 134)(14, 114)(15, 131)(16, 115)(17, 139)(18, 118)(19, 141)(20, 117)(21, 143)(22, 124)(23, 119)(24, 146)(25, 122)(26, 148)(27, 121)(28, 150)(29, 151)(30, 129)(31, 152)(32, 125)(33, 155)(34, 128)(35, 156)(36, 157)(37, 136)(38, 158)(39, 132)(40, 161)(41, 135)(42, 162)(43, 140)(44, 137)(45, 138)(46, 159)(47, 142)(48, 160)(49, 147)(50, 144)(51, 145)(52, 153)(53, 149)(54, 154)(55, 165)(56, 167)(57, 170)(58, 163)(59, 174)(60, 164)(61, 177)(62, 180)(63, 181)(64, 166)(65, 184)(66, 187)(67, 188)(68, 168)(69, 185)(70, 169)(71, 193)(72, 172)(73, 195)(74, 171)(75, 197)(76, 178)(77, 173)(78, 200)(79, 176)(80, 202)(81, 175)(82, 204)(83, 205)(84, 183)(85, 206)(86, 179)(87, 209)(88, 182)(89, 210)(90, 211)(91, 190)(92, 212)(93, 186)(94, 215)(95, 189)(96, 216)(97, 194)(98, 191)(99, 192)(100, 213)(101, 196)(102, 214)(103, 201)(104, 198)(105, 199)(106, 207)(107, 203)(108, 208)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E28.92
Transitivity :: VT+
Graph::
	v = 27 e = 108 f = 27
	degree seq :: [ 8^27 ]

E28.92 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = (C9 : C3) : C2 (small group id <54, 6>)
Aut   = C2 x ((C9 : C3) : C2) (small group id <108, 26>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^-1 * B^-1, (S * Z)^2, S * A * S * B, A * B^-3 * A^2, B^-1 * Z * A * Z * A^-1 * Z * A * B^-1, B * Z * B^-1 * A^2 * Z * B^-1 * Z, B * Z * B * Z * B * A^-1 * Z * A^-1 * Z * A^-1, A^2 * Z * A^2 * Z * A^-2 * Z * A^-2 * Z ]
Map:: non-degenerate
	R = (1, 56, 110, 164, 2, 55, 109, 163)(3, 61, 115, 169, 7, 57, 111, 165)(4, 63, 117, 171, 9, 58, 112, 166)(5, 65, 119, 173, 11, 59, 113, 167)(6, 67, 121, 175, 13, 60, 114, 168)(8, 71, 125, 179, 17, 62, 116, 170)(10, 75, 129, 183, 21, 64, 118, 172)(12, 78, 132, 186, 24, 66, 120, 174)(14, 82, 136, 190, 28, 68, 122, 176)(15, 83, 137, 191, 29, 69, 123, 177)(16, 79, 133, 187, 25, 70, 124, 178)(18, 77, 131, 185, 23, 72, 126, 180)(19, 86, 140, 194, 32, 73, 127, 181)(20, 88, 142, 196, 34, 74, 128, 182)(22, 90, 144, 198, 36, 76, 130, 184)(26, 93, 147, 201, 39, 80, 134, 188)(27, 95, 149, 203, 41, 81, 135, 189)(30, 96, 150, 204, 42, 84, 138, 192)(31, 99, 153, 207, 45, 85, 139, 193)(33, 98, 152, 206, 44, 87, 141, 195)(35, 91, 145, 199, 37, 89, 143, 197)(38, 105, 159, 213, 51, 92, 146, 200)(40, 104, 158, 212, 50, 94, 148, 202)(43, 107, 161, 215, 53, 97, 151, 205)(46, 106, 160, 214, 52, 100, 154, 208)(47, 103, 157, 211, 49, 101, 155, 209)(48, 108, 162, 216, 54, 102, 156, 210)
	L = (1, 111)(2, 113)(3, 116)(4, 109)(5, 120)(6, 110)(7, 123)(8, 126)(9, 127)(10, 112)(11, 130)(12, 133)(13, 134)(14, 114)(15, 138)(16, 115)(17, 140)(18, 118)(19, 135)(20, 117)(21, 137)(22, 145)(23, 119)(24, 147)(25, 122)(26, 128)(27, 121)(28, 144)(29, 151)(30, 152)(31, 124)(32, 154)(33, 125)(34, 156)(35, 129)(36, 157)(37, 158)(38, 131)(39, 160)(40, 132)(41, 162)(42, 136)(43, 142)(44, 139)(45, 161)(46, 159)(47, 141)(48, 143)(49, 149)(50, 146)(51, 155)(52, 153)(53, 148)(54, 150)(55, 165)(56, 167)(57, 170)(58, 163)(59, 174)(60, 164)(61, 177)(62, 180)(63, 181)(64, 166)(65, 184)(66, 187)(67, 188)(68, 168)(69, 192)(70, 169)(71, 194)(72, 172)(73, 189)(74, 171)(75, 191)(76, 199)(77, 173)(78, 201)(79, 176)(80, 182)(81, 175)(82, 198)(83, 205)(84, 206)(85, 178)(86, 208)(87, 179)(88, 210)(89, 183)(90, 211)(91, 212)(92, 185)(93, 214)(94, 186)(95, 216)(96, 190)(97, 196)(98, 193)(99, 215)(100, 213)(101, 195)(102, 197)(103, 203)(104, 200)(105, 209)(106, 207)(107, 202)(108, 204)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E28.91
Transitivity :: VT+
Graph::
	v = 27 e = 108 f = 27
	degree seq :: [ 8^27 ]

E28.93 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = (C9 : C3) : C2 (small group id <54, 6>)
Aut   = C2 x ((C9 : C3) : C2) (small group id <108, 26>)
|r| :: 2
Presentation :: [ Z^2, S^2, A * B, (S * Z)^2, S * B * S * A, A^-1 * Z * B * A * Z * B^-1, A^-1 * B * Z * B^-1 * A^-1 * Z * B^-2, (Z * B^2 * A^-1)^2, B^2 * Z * A^-3 * Z * A^-1, B^-1 * Z * A * Z * B^-1 * Z * A^-1 * Z * B^-1, A^5 * B^-4 ]
Map:: non-degenerate
	R = (1, 56, 110, 164, 2, 55, 109, 163)(3, 61, 115, 169, 7, 57, 111, 165)(4, 63, 117, 171, 9, 58, 112, 166)(5, 65, 119, 173, 11, 59, 113, 167)(6, 67, 121, 175, 13, 60, 114, 168)(8, 71, 125, 179, 17, 62, 116, 170)(10, 75, 129, 183, 21, 64, 118, 172)(12, 79, 133, 187, 25, 66, 120, 174)(14, 83, 137, 191, 29, 68, 122, 176)(15, 85, 139, 193, 31, 69, 123, 177)(16, 87, 141, 195, 33, 70, 124, 178)(18, 84, 138, 192, 30, 72, 126, 180)(19, 92, 146, 200, 38, 73, 127, 181)(20, 94, 148, 202, 40, 74, 128, 182)(22, 80, 134, 188, 26, 76, 130, 184)(23, 95, 149, 203, 41, 77, 131, 185)(24, 89, 143, 197, 35, 78, 132, 186)(27, 101, 155, 209, 47, 81, 135, 189)(28, 93, 147, 201, 39, 82, 136, 190)(32, 103, 157, 211, 49, 86, 140, 194)(34, 98, 152, 206, 44, 88, 142, 196)(36, 99, 153, 207, 45, 90, 144, 198)(37, 104, 158, 212, 50, 91, 145, 199)(42, 107, 161, 215, 53, 96, 150, 204)(43, 105, 159, 213, 51, 97, 151, 205)(46, 106, 160, 214, 52, 100, 154, 208)(48, 108, 162, 216, 54, 102, 156, 210)
	L = (1, 111)(2, 113)(3, 116)(4, 109)(5, 120)(6, 110)(7, 123)(8, 126)(9, 127)(10, 112)(11, 131)(12, 134)(13, 135)(14, 114)(15, 140)(16, 115)(17, 143)(18, 145)(19, 147)(20, 117)(21, 149)(22, 118)(23, 151)(24, 119)(25, 141)(26, 154)(27, 148)(28, 121)(29, 139)(30, 122)(31, 146)(32, 129)(33, 136)(34, 124)(35, 128)(36, 125)(37, 150)(38, 160)(39, 161)(40, 162)(41, 155)(42, 130)(43, 137)(44, 132)(45, 133)(46, 156)(47, 158)(48, 138)(49, 153)(50, 142)(51, 144)(52, 152)(53, 159)(54, 157)(55, 165)(56, 167)(57, 170)(58, 163)(59, 174)(60, 164)(61, 177)(62, 180)(63, 181)(64, 166)(65, 185)(66, 188)(67, 189)(68, 168)(69, 194)(70, 169)(71, 197)(72, 199)(73, 201)(74, 171)(75, 203)(76, 172)(77, 205)(78, 173)(79, 195)(80, 208)(81, 202)(82, 175)(83, 193)(84, 176)(85, 200)(86, 183)(87, 190)(88, 178)(89, 182)(90, 179)(91, 204)(92, 214)(93, 215)(94, 216)(95, 209)(96, 184)(97, 191)(98, 186)(99, 187)(100, 210)(101, 212)(102, 192)(103, 207)(104, 196)(105, 198)(106, 206)(107, 213)(108, 211)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E28.94
Transitivity :: VT+
Graph::
	v = 27 e = 108 f = 27
	degree seq :: [ 8^27 ]

E28.94 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = (C9 : C3) : C2 (small group id <54, 6>)
Aut   = C2 x ((C9 : C3) : C2) (small group id <108, 26>)
|r| :: 2
Presentation :: [ Z^2, S^2, B * A, S * A * S * B, (S * Z)^2, A * Z * A^-1 * B^-1 * Z * B, (B^-1 * Z * A^2)^2, A * Z * B^-1 * A * B^-1 * Z * A * B^-1, B * Z * B^2 * A^-1 * Z * A^-2, B^3 * Z * A^-3 * Z, B * Z * A^-1 * Z * B * Z * B^-1 * Z * B, Z * A * Z * B^-1 * Z * A^2 * Z * A^-1, A^5 * B^-4 ]
Map:: non-degenerate
	R = (1, 56, 110, 164, 2, 55, 109, 163)(3, 61, 115, 169, 7, 57, 111, 165)(4, 63, 117, 171, 9, 58, 112, 166)(5, 65, 119, 173, 11, 59, 113, 167)(6, 67, 121, 175, 13, 60, 114, 168)(8, 71, 125, 179, 17, 62, 116, 170)(10, 75, 129, 183, 21, 64, 118, 172)(12, 79, 133, 187, 25, 66, 120, 174)(14, 83, 137, 191, 29, 68, 122, 176)(15, 85, 139, 193, 31, 69, 123, 177)(16, 87, 141, 195, 33, 70, 124, 178)(18, 84, 138, 192, 30, 72, 126, 180)(19, 92, 146, 200, 38, 73, 127, 181)(20, 94, 148, 202, 40, 74, 128, 182)(22, 80, 134, 188, 26, 76, 130, 184)(23, 88, 142, 196, 34, 77, 131, 185)(24, 97, 151, 205, 43, 78, 132, 186)(27, 86, 140, 194, 32, 81, 135, 189)(28, 90, 144, 198, 36, 82, 136, 190)(35, 106, 160, 214, 52, 89, 143, 197)(37, 105, 159, 213, 51, 91, 145, 199)(39, 100, 154, 208, 46, 93, 147, 201)(41, 101, 155, 209, 47, 95, 149, 203)(42, 107, 161, 215, 53, 96, 150, 204)(44, 108, 162, 216, 54, 98, 152, 206)(45, 103, 157, 211, 49, 99, 153, 207)(48, 104, 158, 212, 50, 102, 156, 210)
	L = (1, 111)(2, 113)(3, 116)(4, 109)(5, 120)(6, 110)(7, 123)(8, 126)(9, 127)(10, 112)(11, 131)(12, 134)(13, 135)(14, 114)(15, 140)(16, 115)(17, 143)(18, 145)(19, 147)(20, 117)(21, 149)(22, 118)(23, 146)(24, 119)(25, 152)(26, 153)(27, 154)(28, 121)(29, 155)(30, 122)(31, 132)(32, 129)(33, 148)(34, 124)(35, 128)(36, 125)(37, 150)(38, 137)(39, 161)(40, 133)(41, 162)(42, 130)(43, 144)(44, 136)(45, 156)(46, 158)(47, 160)(48, 138)(49, 139)(50, 141)(51, 142)(52, 157)(53, 151)(54, 159)(55, 165)(56, 167)(57, 170)(58, 163)(59, 174)(60, 164)(61, 177)(62, 180)(63, 181)(64, 166)(65, 185)(66, 188)(67, 189)(68, 168)(69, 194)(70, 169)(71, 197)(72, 199)(73, 201)(74, 171)(75, 203)(76, 172)(77, 200)(78, 173)(79, 206)(80, 207)(81, 208)(82, 175)(83, 209)(84, 176)(85, 186)(86, 183)(87, 202)(88, 178)(89, 182)(90, 179)(91, 204)(92, 191)(93, 215)(94, 187)(95, 216)(96, 184)(97, 198)(98, 190)(99, 210)(100, 212)(101, 214)(102, 192)(103, 193)(104, 195)(105, 196)(106, 211)(107, 205)(108, 213)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E28.93
Transitivity :: VT+
Graph::
	v = 27 e = 108 f = 27
	degree seq :: [ 8^27 ]

E28.95 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = C3 x S3 x S3 (small group id <108, 38>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^3, A^3, (B^-1, A^-1), (S * Z)^2, S * B * S * A, A^-1 * Z * B * A * Z * B^-1, A * Z * B * Z * A^-1 * Z * B^-1 * Z ]
Map:: non-degenerate
	R = (1, 56, 110, 164, 2, 55, 109, 163)(3, 65, 119, 173, 11, 57, 111, 165)(4, 68, 122, 176, 14, 58, 112, 166)(5, 70, 124, 178, 16, 59, 113, 167)(6, 72, 126, 180, 18, 60, 114, 168)(7, 73, 127, 181, 19, 61, 115, 169)(8, 76, 130, 184, 22, 62, 116, 170)(9, 78, 132, 186, 24, 63, 117, 171)(10, 80, 134, 188, 26, 64, 118, 172)(12, 74, 128, 182, 20, 66, 120, 174)(13, 85, 139, 193, 31, 67, 121, 175)(15, 90, 144, 198, 36, 69, 123, 177)(17, 79, 133, 187, 25, 71, 125, 179)(21, 99, 153, 207, 45, 75, 129, 183)(23, 104, 158, 212, 50, 77, 131, 185)(27, 95, 149, 203, 41, 81, 135, 189)(28, 100, 154, 208, 46, 82, 136, 190)(29, 103, 157, 211, 49, 83, 137, 191)(30, 98, 152, 206, 44, 84, 138, 192)(32, 96, 150, 204, 42, 86, 140, 194)(33, 101, 155, 209, 47, 87, 141, 195)(34, 102, 156, 210, 48, 88, 142, 196)(35, 97, 151, 205, 43, 89, 143, 197)(37, 105, 159, 213, 51, 91, 145, 199)(38, 107, 161, 215, 53, 92, 146, 200)(39, 106, 160, 214, 52, 93, 147, 201)(40, 108, 162, 216, 54, 94, 148, 202)
	L = (1, 111)(2, 115)(3, 113)(4, 120)(5, 109)(6, 121)(7, 117)(8, 128)(9, 110)(10, 129)(11, 135)(12, 123)(13, 125)(14, 140)(15, 112)(16, 143)(17, 114)(18, 138)(19, 149)(20, 131)(21, 133)(22, 154)(23, 116)(24, 157)(25, 118)(26, 152)(27, 137)(28, 144)(29, 119)(30, 147)(31, 146)(32, 142)(33, 139)(34, 122)(35, 145)(36, 148)(37, 124)(38, 141)(39, 126)(40, 136)(41, 151)(42, 158)(43, 127)(44, 161)(45, 160)(46, 156)(47, 153)(48, 130)(49, 159)(50, 162)(51, 132)(52, 155)(53, 134)(54, 150)(55, 168)(56, 172)(57, 175)(58, 163)(59, 179)(60, 166)(61, 183)(62, 164)(63, 187)(64, 170)(65, 192)(66, 165)(67, 174)(68, 197)(69, 167)(70, 200)(71, 177)(72, 202)(73, 206)(74, 169)(75, 182)(76, 211)(77, 171)(78, 214)(79, 185)(80, 216)(81, 201)(82, 173)(83, 180)(84, 190)(85, 194)(86, 199)(87, 176)(88, 178)(89, 195)(90, 189)(91, 193)(92, 196)(93, 198)(94, 191)(95, 215)(96, 181)(97, 188)(98, 204)(99, 208)(100, 213)(101, 184)(102, 186)(103, 209)(104, 203)(105, 207)(106, 210)(107, 212)(108, 205)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: simple
	v = 27 e = 108 f = 27
	degree seq :: [ 8^27 ]

E28.96 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = C3 x S3 x S3 (small group id <108, 38>)
|r| :: 2
Presentation :: [ Z^2, S^2, (B^-1, A^-1), (S * Z)^2, S * B * S * A, B^3 * A^3, B^-3 * A^3, B * Z * B^-1 * A * Z * A^-1, A^-1 * Z * A * B * Z * B^-1, B * A^-1 * Z * A * B^-1 * Z, A^-1 * Z * A^2 * Z * A^-1, (A^-1 * Z)^3, (B * Z)^3, A^6, A^-1 * B^-2 * Z * A * Z * B^-1 * Z ]
Map:: non-degenerate
	R = (1, 56, 110, 164, 2, 55, 109, 163)(3, 65, 119, 173, 11, 57, 111, 165)(4, 69, 123, 177, 15, 58, 112, 166)(5, 72, 126, 180, 18, 59, 113, 167)(6, 75, 129, 183, 21, 60, 114, 168)(7, 77, 131, 185, 23, 61, 115, 169)(8, 81, 135, 189, 27, 62, 116, 170)(9, 84, 138, 192, 30, 63, 117, 171)(10, 87, 141, 195, 33, 64, 118, 172)(12, 78, 132, 186, 24, 66, 120, 174)(13, 79, 133, 187, 25, 67, 121, 175)(14, 80, 134, 188, 26, 68, 122, 176)(16, 82, 136, 190, 28, 70, 124, 178)(17, 83, 137, 191, 29, 71, 125, 179)(19, 85, 139, 193, 31, 73, 127, 181)(20, 86, 140, 194, 32, 74, 128, 182)(22, 88, 142, 196, 34, 76, 130, 184)(35, 106, 160, 214, 52, 89, 143, 197)(36, 102, 156, 210, 48, 90, 144, 198)(37, 105, 159, 213, 51, 91, 145, 199)(38, 100, 154, 208, 46, 92, 146, 200)(39, 107, 161, 215, 53, 93, 147, 201)(40, 108, 162, 216, 54, 94, 148, 202)(41, 101, 155, 209, 47, 95, 149, 203)(42, 99, 153, 207, 45, 96, 150, 204)(43, 103, 157, 211, 49, 97, 151, 205)(44, 104, 158, 212, 50, 98, 152, 206)
	L = (1, 111)(2, 115)(3, 120)(4, 121)(5, 109)(6, 122)(7, 132)(8, 133)(9, 110)(10, 134)(11, 138)(12, 146)(13, 147)(14, 148)(15, 143)(16, 149)(17, 112)(18, 144)(19, 113)(20, 114)(21, 145)(22, 150)(23, 126)(24, 156)(25, 157)(26, 158)(27, 153)(28, 159)(29, 116)(30, 154)(31, 117)(32, 118)(33, 155)(34, 160)(35, 161)(36, 119)(37, 162)(38, 127)(39, 130)(40, 124)(41, 128)(42, 125)(43, 123)(44, 129)(45, 151)(46, 131)(47, 152)(48, 139)(49, 142)(50, 136)(51, 140)(52, 137)(53, 135)(54, 141)(55, 168)(56, 172)(57, 176)(58, 163)(59, 182)(60, 184)(61, 188)(62, 164)(63, 194)(64, 196)(65, 199)(66, 202)(67, 165)(68, 204)(69, 198)(70, 166)(71, 167)(72, 206)(73, 203)(74, 201)(75, 189)(76, 200)(77, 209)(78, 212)(79, 169)(80, 214)(81, 208)(82, 170)(83, 171)(84, 216)(85, 213)(86, 211)(87, 177)(88, 210)(89, 173)(90, 183)(91, 207)(92, 178)(93, 174)(94, 179)(95, 175)(96, 181)(97, 180)(98, 215)(99, 185)(100, 195)(101, 197)(102, 190)(103, 186)(104, 191)(105, 187)(106, 193)(107, 192)(108, 205)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: simple
	v = 27 e = 108 f = 27
	degree seq :: [ 8^27 ]

E28.97 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C3 x ((C3 x C3) : C2) (small group id <54, 13>)
Aut   = C3 x S3 x S3 (small group id <108, 38>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^3, A^3, (B^-1, A^-1), S * B * S * A, (S * Z)^2, (A^-1 * Z * B^-1)^2, B^-1 * Z * B^-1 * Z * A^-1 * Z * A^-1 * Z ]
Map:: non-degenerate
	R = (1, 56, 110, 164, 2, 55, 109, 163)(3, 65, 119, 173, 11, 57, 111, 165)(4, 68, 122, 176, 14, 58, 112, 166)(5, 70, 124, 178, 16, 59, 113, 167)(6, 72, 126, 180, 18, 60, 114, 168)(7, 73, 127, 181, 19, 61, 115, 169)(8, 76, 130, 184, 22, 62, 116, 170)(9, 78, 132, 186, 24, 63, 117, 171)(10, 80, 134, 188, 26, 64, 118, 172)(12, 79, 133, 187, 25, 66, 120, 174)(13, 85, 139, 193, 31, 67, 121, 175)(15, 90, 144, 198, 36, 69, 123, 177)(17, 74, 128, 182, 20, 71, 125, 179)(21, 99, 153, 207, 45, 75, 129, 183)(23, 104, 158, 212, 50, 77, 131, 185)(27, 95, 149, 203, 41, 81, 135, 189)(28, 100, 154, 208, 46, 82, 136, 190)(29, 105, 159, 213, 51, 83, 137, 191)(30, 107, 161, 215, 53, 84, 138, 192)(32, 96, 150, 204, 42, 86, 140, 194)(33, 101, 155, 209, 47, 87, 141, 195)(34, 106, 160, 214, 52, 88, 142, 196)(35, 108, 162, 216, 54, 89, 143, 197)(37, 97, 151, 205, 43, 91, 145, 199)(38, 102, 156, 210, 48, 92, 146, 200)(39, 98, 152, 206, 44, 93, 147, 201)(40, 103, 157, 211, 49, 94, 148, 202)
	L = (1, 111)(2, 115)(3, 113)(4, 120)(5, 109)(6, 121)(7, 117)(8, 128)(9, 110)(10, 129)(11, 135)(12, 123)(13, 125)(14, 140)(15, 112)(16, 145)(17, 114)(18, 147)(19, 149)(20, 131)(21, 133)(22, 154)(23, 116)(24, 159)(25, 118)(26, 161)(27, 137)(28, 126)(29, 119)(30, 148)(31, 143)(32, 142)(33, 124)(34, 122)(35, 146)(36, 138)(37, 141)(38, 139)(39, 136)(40, 144)(41, 151)(42, 134)(43, 127)(44, 162)(45, 157)(46, 156)(47, 132)(48, 130)(49, 160)(50, 152)(51, 155)(52, 153)(53, 150)(54, 158)(55, 168)(56, 172)(57, 175)(58, 163)(59, 179)(60, 166)(61, 183)(62, 164)(63, 187)(64, 170)(65, 192)(66, 165)(67, 174)(68, 197)(69, 167)(70, 194)(71, 177)(72, 189)(73, 206)(74, 169)(75, 182)(76, 211)(77, 171)(78, 208)(79, 185)(80, 203)(81, 202)(82, 173)(83, 198)(84, 190)(85, 199)(86, 200)(87, 176)(88, 193)(89, 195)(90, 201)(91, 196)(92, 178)(93, 191)(94, 180)(95, 216)(96, 181)(97, 212)(98, 204)(99, 213)(100, 214)(101, 184)(102, 207)(103, 209)(104, 215)(105, 210)(106, 186)(107, 205)(108, 188)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: simple
	v = 27 e = 108 f = 27
	degree seq :: [ 8^27 ]

E28.98 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C3 x ((C3 x C3) : C2) (small group id <54, 13>)
Aut   = (C3 x ((C3 x C3) : C2)) : C2 (small group id <108, 40>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^3, A^3, (A^-1, B), S * B * S * A, (S * Z)^2, A * Z * A * B^-1 * Z * B^-1, B * Z * A^-1 * Z * A^-1 * Z * B * Z ]
Map:: non-degenerate
	R = (1, 56, 110, 164, 2, 55, 109, 163)(3, 65, 119, 173, 11, 57, 111, 165)(4, 68, 122, 176, 14, 58, 112, 166)(5, 70, 124, 178, 16, 59, 113, 167)(6, 72, 126, 180, 18, 60, 114, 168)(7, 73, 127, 181, 19, 61, 115, 169)(8, 76, 130, 184, 22, 62, 116, 170)(9, 78, 132, 186, 24, 63, 117, 171)(10, 80, 134, 188, 26, 64, 118, 172)(12, 85, 139, 193, 31, 66, 120, 174)(13, 77, 131, 185, 23, 67, 121, 175)(15, 75, 129, 183, 21, 69, 123, 177)(17, 92, 146, 200, 38, 71, 125, 179)(20, 99, 153, 207, 45, 74, 128, 182)(25, 106, 160, 214, 52, 79, 133, 187)(27, 95, 149, 203, 41, 81, 135, 189)(28, 100, 154, 208, 46, 82, 136, 190)(29, 102, 156, 210, 48, 83, 137, 191)(30, 103, 157, 211, 49, 84, 138, 192)(32, 96, 150, 204, 42, 86, 140, 194)(33, 107, 161, 215, 53, 87, 141, 195)(34, 97, 151, 205, 43, 88, 142, 196)(35, 98, 152, 206, 44, 89, 143, 197)(36, 104, 158, 212, 50, 90, 144, 198)(37, 108, 162, 216, 54, 91, 145, 199)(39, 101, 155, 209, 47, 93, 147, 201)(40, 105, 159, 213, 51, 94, 148, 202)
	L = (1, 111)(2, 115)(3, 113)(4, 120)(5, 109)(6, 121)(7, 117)(8, 128)(9, 110)(10, 129)(11, 135)(12, 123)(13, 125)(14, 140)(15, 112)(16, 142)(17, 114)(18, 143)(19, 149)(20, 131)(21, 133)(22, 154)(23, 116)(24, 156)(25, 118)(26, 157)(27, 137)(28, 141)(29, 119)(30, 122)(31, 147)(32, 138)(33, 146)(34, 144)(35, 148)(36, 124)(37, 139)(38, 136)(39, 145)(40, 126)(41, 151)(42, 155)(43, 127)(44, 130)(45, 161)(46, 152)(47, 160)(48, 158)(49, 162)(50, 132)(51, 153)(52, 150)(53, 159)(54, 134)(55, 168)(56, 172)(57, 175)(58, 163)(59, 179)(60, 166)(61, 183)(62, 164)(63, 187)(64, 170)(65, 192)(66, 165)(67, 174)(68, 195)(69, 167)(70, 199)(71, 177)(72, 198)(73, 206)(74, 169)(75, 182)(76, 209)(77, 171)(78, 213)(79, 185)(80, 212)(81, 176)(82, 173)(83, 194)(84, 190)(85, 202)(86, 200)(87, 189)(88, 193)(89, 178)(90, 201)(91, 197)(92, 191)(93, 180)(94, 196)(95, 184)(96, 181)(97, 208)(98, 204)(99, 216)(100, 214)(101, 203)(102, 207)(103, 186)(104, 215)(105, 211)(106, 205)(107, 188)(108, 210)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: simple
	v = 27 e = 108 f = 27
	degree seq :: [ 8^27 ]

E28.99 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {19})
Quotient :: toric
Aut^+ = C19 : C3 (small group id <57, 1>)
Aut   = (C19 : C3) : C2 (small group id <114, 1>)
|r| :: 2
Presentation :: [ S^2, B^3, A^3, Z * A * B * Z, (S * Z)^2, S * B * S * A, A^-1 * Z^-2 * B^2, B^-1 * A^-1 * B * Z^-1 * A, Z^-2 * A^-1 * Z * B^2, A^-1 * B^-1 * Z^-1 * A * Z^-1 * B, (Z^-1 * B^-1)^3, Z^-1 * B * Z * A^-1 * Z^-1 * A^-1, A * Z^-1 * B * A^-1 * B^-1 * Z^-1, (A * Z^-1)^3, B * A * Z * A^-1 * B^-1 * Z^-1, B * Z^-1 * A^-1 * B^-1 * A * Z^-1 ]
Map:: non-degenerate
	R = (1, 59, 116, 173, 2, 65, 122, 179, 8, 87, 144, 201, 30, 108, 165, 222, 51, 75, 132, 189, 18, 92, 149, 206, 35, 107, 164, 221, 50, 103, 160, 217, 46, 99, 156, 213, 42, 114, 171, 228, 57, 100, 157, 214, 43, 106, 163, 220, 49, 112, 169, 226, 55, 83, 140, 197, 26, 96, 153, 210, 39, 102, 159, 216, 45, 71, 128, 185, 14, 62, 119, 176, 5, 58, 115, 172)(3, 70, 127, 184, 13, 69, 126, 183, 12, 97, 154, 211, 40, 93, 150, 207, 36, 95, 152, 209, 38, 90, 147, 204, 33, 66, 123, 180, 9, 89, 146, 203, 32, 88, 145, 202, 31, 111, 168, 225, 54, 109, 166, 223, 52, 78, 135, 192, 21, 86, 143, 200, 29, 64, 121, 178, 7, 84, 141, 198, 27, 77, 134, 191, 20, 82, 139, 196, 25, 72, 129, 186, 15, 60, 117, 174)(4, 74, 131, 188, 17, 63, 120, 177, 6, 81, 138, 195, 24, 101, 158, 215, 44, 85, 142, 199, 28, 113, 170, 227, 56, 110, 167, 224, 53, 79, 136, 193, 22, 98, 155, 212, 41, 80, 137, 194, 23, 67, 124, 181, 10, 91, 148, 205, 34, 68, 125, 182, 11, 94, 151, 208, 37, 105, 162, 219, 48, 73, 130, 187, 16, 104, 161, 218, 47, 76, 133, 190, 19, 61, 118, 175)
	L = (1, 117)(2, 123)(3, 120)(4, 132)(5, 135)(6, 115)(7, 142)(8, 121)(9, 125)(10, 149)(11, 116)(12, 130)(13, 155)(14, 152)(15, 151)(16, 144)(17, 163)(18, 134)(19, 128)(20, 118)(21, 137)(22, 165)(23, 119)(24, 164)(25, 167)(26, 154)(27, 148)(28, 122)(29, 161)(30, 126)(31, 136)(32, 131)(33, 170)(34, 169)(35, 150)(36, 124)(37, 160)(38, 133)(39, 168)(40, 158)(41, 157)(42, 147)(43, 127)(44, 140)(45, 139)(46, 129)(47, 171)(48, 153)(49, 146)(50, 166)(51, 145)(52, 138)(53, 159)(54, 162)(55, 141)(56, 156)(57, 143)(58, 178)(59, 183)(60, 187)(61, 172)(62, 180)(63, 197)(64, 175)(65, 202)(66, 193)(67, 173)(68, 210)(69, 181)(70, 215)(71, 174)(72, 212)(73, 185)(74, 221)(75, 223)(76, 220)(77, 208)(78, 199)(79, 176)(80, 226)(81, 179)(82, 177)(83, 196)(84, 224)(85, 216)(86, 205)(87, 191)(88, 195)(89, 219)(90, 188)(91, 217)(92, 186)(93, 227)(94, 201)(95, 182)(96, 209)(97, 190)(98, 206)(99, 184)(100, 198)(101, 213)(102, 192)(103, 200)(104, 189)(105, 228)(106, 211)(107, 204)(108, 207)(109, 218)(110, 214)(111, 194)(112, 225)(113, 222)(114, 203)
	local type(s) :: { ( 4^76 ) }
Outer automorphisms :: reflexible
Dual of E28.100
Transitivity :: VT+
Graph::
	v = 3 e = 114 f = 57
	degree seq :: [ 76^3 ]

E28.100 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {19})
Quotient :: toric
Aut^+ = C19 : C3 (small group id <57, 1>)
Aut   = (C19 : C3) : C2 (small group id <114, 1>)
|r| :: 2
Presentation :: [ Z, S^2, A^3, B^3, S * A * S * B, (S * Z)^2, (B * A^-1)^3, B * A * B * A * B * A * B^-1 * A^-1 * B^-1 * A^-1, (Z^-1 * A * B^-1 * A^-1 * B)^19 ]
Map:: non-degenerate
	R = (1, 58, 115, 172)(2, 59, 116, 173)(3, 60, 117, 174)(4, 61, 118, 175)(5, 62, 119, 176)(6, 63, 120, 177)(7, 64, 121, 178)(8, 65, 122, 179)(9, 66, 123, 180)(10, 67, 124, 181)(11, 68, 125, 182)(12, 69, 126, 183)(13, 70, 127, 184)(14, 71, 128, 185)(15, 72, 129, 186)(16, 73, 130, 187)(17, 74, 131, 188)(18, 75, 132, 189)(19, 76, 133, 190)(20, 77, 134, 191)(21, 78, 135, 192)(22, 79, 136, 193)(23, 80, 137, 194)(24, 81, 138, 195)(25, 82, 139, 196)(26, 83, 140, 197)(27, 84, 141, 198)(28, 85, 142, 199)(29, 86, 143, 200)(30, 87, 144, 201)(31, 88, 145, 202)(32, 89, 146, 203)(33, 90, 147, 204)(34, 91, 148, 205)(35, 92, 149, 206)(36, 93, 150, 207)(37, 94, 151, 208)(38, 95, 152, 209)(39, 96, 153, 210)(40, 97, 154, 211)(41, 98, 155, 212)(42, 99, 156, 213)(43, 100, 157, 214)(44, 101, 158, 215)(45, 102, 159, 216)(46, 103, 160, 217)(47, 104, 161, 218)(48, 105, 162, 219)(49, 106, 163, 220)(50, 107, 164, 221)(51, 108, 165, 222)(52, 109, 166, 223)(53, 110, 167, 224)(54, 111, 168, 225)(55, 112, 169, 226)(56, 113, 170, 227)(57, 114, 171, 228)
	L = (1, 116)(2, 118)(3, 122)(4, 115)(5, 126)(6, 128)(7, 130)(8, 123)(9, 117)(10, 135)(11, 137)(12, 127)(13, 119)(14, 129)(15, 120)(16, 131)(17, 121)(18, 147)(19, 140)(20, 150)(21, 136)(22, 124)(23, 138)(24, 125)(25, 156)(26, 149)(27, 158)(28, 160)(29, 145)(30, 163)(31, 162)(32, 165)(33, 148)(34, 132)(35, 133)(36, 151)(37, 134)(38, 167)(39, 154)(40, 169)(41, 168)(42, 157)(43, 139)(44, 159)(45, 141)(46, 161)(47, 142)(48, 143)(49, 164)(50, 144)(51, 166)(52, 146)(53, 170)(54, 171)(55, 153)(56, 152)(57, 155)(58, 176)(59, 178)(60, 172)(61, 182)(62, 174)(63, 173)(64, 177)(65, 190)(66, 191)(67, 175)(68, 181)(69, 193)(70, 198)(71, 200)(72, 201)(73, 180)(74, 203)(75, 179)(76, 189)(77, 187)(78, 210)(79, 196)(80, 186)(81, 212)(82, 183)(83, 184)(84, 197)(85, 185)(86, 199)(87, 194)(88, 188)(89, 202)(90, 220)(91, 224)(92, 225)(93, 205)(94, 226)(95, 192)(96, 209)(97, 195)(98, 211)(99, 227)(100, 219)(101, 214)(102, 223)(103, 213)(104, 204)(105, 215)(106, 218)(107, 206)(108, 208)(109, 228)(110, 207)(111, 221)(112, 222)(113, 217)(114, 216)
	local type(s) :: { ( 76^4 ) }
Outer automorphisms :: reflexible
Dual of E28.99
Transitivity :: VT+
Graph:: simple
	v = 57 e = 114 f = 3
	degree seq :: [ 4^57 ]

E28.101 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {7})
Quotient :: toric
Aut^+ = C7 : C9 (small group id <63, 1>)
Aut   = (C7 : C9) : C2 (small group id <126, 1>)
|r| :: 2
Presentation :: [ S^2, A * B * Z, Z * B^-1 * Z^-1 * A^-1, (S * Z)^2, S * B * S * A, Z^2 * A^-1 * B^-1 * Z, A^-2 * B^-2 * Z, Z * B * A^-1 * B^-1 * A * Z, A^4 * B^-1 * A * B^-1 * A * B^-1, A^3 * B^-6 ]
Map:: non-degenerate
	R = (1, 65, 128, 191, 2, 71, 134, 197, 8, 78, 141, 204, 15, 87, 150, 213, 24, 84, 147, 210, 21, 68, 131, 194, 5, 64, 127, 190)(3, 74, 137, 200, 11, 95, 158, 221, 32, 82, 145, 208, 19, 70, 133, 196, 7, 88, 151, 214, 25, 76, 139, 202, 13, 66, 129, 192)(4, 69, 132, 195, 6, 72, 135, 198, 9, 73, 136, 199, 10, 91, 154, 217, 28, 83, 146, 209, 20, 80, 143, 206, 17, 67, 130, 193)(12, 96, 159, 222, 33, 89, 152, 215, 26, 99, 162, 225, 36, 77, 140, 203, 14, 100, 163, 226, 37, 90, 153, 216, 27, 75, 138, 201)(16, 81, 144, 207, 18, 85, 148, 211, 22, 86, 149, 212, 23, 92, 155, 218, 29, 93, 156, 219, 30, 94, 157, 220, 31, 79, 142, 205)(34, 110, 173, 236, 47, 101, 164, 227, 38, 112, 175, 238, 49, 98, 161, 224, 35, 111, 174, 237, 48, 102, 165, 228, 39, 97, 160, 223)(40, 104, 167, 230, 41, 105, 168, 231, 42, 106, 169, 232, 43, 107, 170, 233, 44, 108, 171, 234, 45, 109, 172, 235, 46, 103, 166, 229)(50, 117, 180, 243, 54, 115, 178, 241, 52, 119, 182, 245, 56, 114, 177, 240, 51, 118, 181, 244, 55, 116, 179, 242, 53, 113, 176, 239)(57, 121, 184, 247, 58, 122, 185, 248, 59, 123, 186, 249, 60, 124, 187, 250, 61, 125, 188, 251, 62, 126, 189, 252, 63, 120, 183, 246)
	L = (1, 129)(2, 133)(3, 138)(4, 141)(5, 145)(6, 127)(7, 152)(8, 137)(9, 150)(10, 128)(11, 140)(12, 160)(13, 162)(14, 164)(15, 151)(16, 136)(17, 131)(18, 130)(19, 163)(20, 134)(21, 139)(22, 154)(23, 132)(24, 158)(25, 153)(26, 173)(27, 175)(28, 147)(29, 146)(30, 135)(31, 143)(32, 159)(33, 161)(34, 176)(35, 178)(36, 174)(37, 165)(38, 180)(39, 182)(40, 149)(41, 142)(42, 155)(43, 144)(44, 156)(45, 148)(46, 157)(47, 177)(48, 179)(49, 181)(50, 184)(51, 186)(52, 185)(53, 187)(54, 188)(55, 183)(56, 189)(57, 169)(58, 166)(59, 170)(60, 167)(61, 171)(62, 168)(63, 172)(64, 196)(65, 200)(66, 203)(67, 190)(68, 192)(69, 213)(70, 216)(71, 214)(72, 191)(73, 210)(74, 222)(75, 224)(76, 201)(77, 228)(78, 221)(79, 193)(80, 204)(81, 217)(82, 215)(83, 194)(84, 208)(85, 195)(86, 209)(87, 202)(88, 225)(89, 237)(90, 223)(91, 197)(92, 198)(93, 206)(94, 199)(95, 226)(96, 236)(97, 240)(98, 242)(99, 227)(100, 238)(101, 244)(102, 239)(103, 205)(104, 218)(105, 207)(106, 219)(107, 211)(108, 220)(109, 212)(110, 243)(111, 245)(112, 241)(113, 251)(114, 246)(115, 252)(116, 247)(117, 248)(118, 250)(119, 249)(120, 229)(121, 233)(122, 230)(123, 234)(124, 231)(125, 235)(126, 232)
	local type(s) :: { ( 4^28 ) }
Outer automorphisms :: reflexible
Dual of E28.102
Transitivity :: VT+
Graph::
	v = 9 e = 126 f = 63
	degree seq :: [ 28^9 ]

E28.102 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {7})
Quotient :: toric
Aut^+ = C7 : C9 (small group id <63, 1>)
Aut   = (C7 : C9) : C2 (small group id <126, 1>)
|r| :: 2
Presentation :: [ Z, S^2, S * B * S * A, (S * Z)^2, B * A * B^-1 * A^-1 * B * A, A^3 * B^3, B^9, B^-3 * A * B^-1 * A * B^-1 * A * B^-1, (Z^-1 * B^-1 * A^-1)^7 ]
Map:: non-degenerate
	R = (1, 64, 127, 190)(2, 65, 128, 191)(3, 66, 129, 192)(4, 67, 130, 193)(5, 68, 131, 194)(6, 69, 132, 195)(7, 70, 133, 196)(8, 71, 134, 197)(9, 72, 135, 198)(10, 73, 136, 199)(11, 74, 137, 200)(12, 75, 138, 201)(13, 76, 139, 202)(14, 77, 140, 203)(15, 78, 141, 204)(16, 79, 142, 205)(17, 80, 143, 206)(18, 81, 144, 207)(19, 82, 145, 208)(20, 83, 146, 209)(21, 84, 147, 210)(22, 85, 148, 211)(23, 86, 149, 212)(24, 87, 150, 213)(25, 88, 151, 214)(26, 89, 152, 215)(27, 90, 153, 216)(28, 91, 154, 217)(29, 92, 155, 218)(30, 93, 156, 219)(31, 94, 157, 220)(32, 95, 158, 221)(33, 96, 159, 222)(34, 97, 160, 223)(35, 98, 161, 224)(36, 99, 162, 225)(37, 100, 163, 226)(38, 101, 164, 227)(39, 102, 165, 228)(40, 103, 166, 229)(41, 104, 167, 230)(42, 105, 168, 231)(43, 106, 169, 232)(44, 107, 170, 233)(45, 108, 171, 234)(46, 109, 172, 235)(47, 110, 173, 236)(48, 111, 174, 237)(49, 112, 175, 238)(50, 113, 176, 239)(51, 114, 177, 240)(52, 115, 178, 241)(53, 116, 179, 242)(54, 117, 180, 243)(55, 118, 181, 244)(56, 119, 182, 245)(57, 120, 183, 246)(58, 121, 184, 247)(59, 122, 185, 248)(60, 123, 186, 249)(61, 124, 187, 250)(62, 125, 188, 251)(63, 126, 189, 252)
	L = (1, 128)(2, 132)(3, 135)(4, 127)(5, 141)(6, 144)(7, 147)(8, 150)(9, 153)(10, 155)(11, 129)(12, 160)(13, 130)(14, 154)(15, 165)(16, 131)(17, 167)(18, 168)(19, 170)(20, 172)(21, 175)(22, 176)(23, 133)(24, 180)(25, 134)(26, 182)(27, 143)(28, 173)(29, 142)(30, 139)(31, 136)(32, 177)(33, 137)(34, 171)(35, 178)(36, 138)(37, 179)(38, 140)(39, 169)(40, 174)(41, 181)(42, 184)(43, 186)(44, 166)(45, 145)(46, 185)(47, 146)(48, 187)(49, 152)(50, 151)(51, 148)(52, 164)(53, 149)(54, 188)(55, 183)(56, 189)(57, 159)(58, 156)(59, 161)(60, 157)(61, 162)(62, 158)(63, 163)(64, 194)(65, 197)(66, 190)(67, 203)(68, 206)(69, 209)(70, 191)(71, 215)(72, 217)(73, 192)(74, 223)(75, 193)(76, 211)(77, 208)(78, 229)(79, 214)(80, 207)(81, 232)(82, 195)(83, 237)(84, 204)(85, 196)(86, 198)(87, 244)(88, 236)(89, 231)(90, 233)(91, 238)(92, 234)(93, 199)(94, 240)(95, 200)(96, 241)(97, 239)(98, 201)(99, 242)(100, 202)(101, 205)(102, 243)(103, 245)(104, 235)(105, 251)(106, 246)(107, 213)(108, 210)(109, 252)(110, 228)(111, 247)(112, 230)(113, 216)(114, 227)(115, 212)(116, 218)(117, 248)(118, 250)(119, 249)(120, 219)(121, 224)(122, 220)(123, 225)(124, 221)(125, 226)(126, 222)
	local type(s) :: { ( 28^4 ) }
Outer automorphisms :: reflexible
Dual of E28.101
Transitivity :: VT+
Graph:: simple
	v = 63 e = 126 f = 9
	degree seq :: [ 4^63 ]

E28.103 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {7})
Quotient :: toric
Aut^+ = C3 x (C7 : C3) (small group id <63, 3>)
Aut   = (C3 x (C7 : C3)) : C2 (small group id <126, 9>)
|r| :: 2
Presentation :: [ S^2, B^3, A^3, (S * Z)^2, S * B * S * A, B^-1 * Z^2 * B * Z^-1, A^-1 * Z * A * Z^-2, B * Z^-1 * A * B^-1 * A^-1, A * B * A * B^-1 * A * Z^-1, B * A * Z^-1 * B^-1 * A^-1 * Z^-1, (Z^-1 * A^-1)^3, B^-1 * Z * B * Z^3, (A * Z^-1)^3, Z^-1 * A^-1 * B * Z * A * B^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 128, 191, 2, 71, 134, 197, 8, 97, 160, 223, 34, 113, 176, 239, 50, 86, 149, 212, 23, 68, 131, 194, 5, 64, 127, 190)(3, 76, 139, 202, 13, 72, 135, 198, 9, 100, 163, 226, 37, 98, 161, 224, 35, 84, 147, 210, 21, 78, 141, 204, 15, 66, 129, 192)(4, 80, 143, 206, 17, 119, 182, 245, 56, 85, 148, 211, 22, 73, 136, 199, 10, 103, 166, 229, 40, 82, 145, 208, 19, 67, 130, 193)(6, 89, 152, 215, 26, 111, 174, 237, 48, 87, 150, 213, 24, 74, 137, 200, 11, 106, 169, 232, 43, 91, 154, 217, 28, 69, 132, 195)(7, 93, 156, 219, 30, 75, 138, 201, 12, 109, 172, 235, 46, 99, 162, 225, 36, 88, 151, 214, 25, 95, 158, 221, 32, 70, 133, 196)(14, 101, 164, 227, 38, 81, 144, 207, 18, 104, 167, 230, 41, 112, 175, 238, 49, 126, 189, 252, 63, 115, 178, 241, 52, 77, 140, 203)(16, 117, 180, 243, 54, 114, 177, 240, 51, 94, 157, 220, 31, 102, 165, 228, 39, 116, 179, 242, 53, 118, 181, 244, 55, 79, 142, 205)(20, 90, 153, 216, 27, 105, 168, 231, 42, 107, 170, 233, 44, 120, 183, 246, 57, 122, 185, 248, 59, 121, 184, 247, 58, 83, 146, 209)(29, 108, 171, 234, 45, 96, 159, 222, 33, 110, 173, 236, 47, 125, 188, 251, 62, 124, 187, 250, 61, 123, 186, 249, 60, 92, 155, 218)
	L = (1, 129)(2, 135)(3, 132)(4, 144)(5, 147)(6, 127)(7, 157)(8, 161)(9, 137)(10, 167)(11, 128)(12, 142)(13, 174)(14, 170)(15, 169)(16, 173)(17, 175)(18, 146)(19, 140)(20, 130)(21, 150)(22, 164)(23, 163)(24, 131)(25, 181)(26, 134)(27, 182)(28, 149)(29, 172)(30, 179)(31, 159)(32, 180)(33, 133)(34, 141)(35, 152)(36, 165)(37, 154)(38, 185)(39, 188)(40, 189)(41, 168)(42, 136)(43, 160)(44, 145)(45, 151)(46, 177)(47, 138)(48, 176)(49, 183)(50, 139)(51, 155)(52, 153)(53, 186)(54, 187)(55, 171)(56, 178)(57, 143)(58, 166)(59, 148)(60, 156)(61, 158)(62, 162)(63, 184)(64, 196)(65, 201)(66, 205)(67, 190)(68, 214)(69, 218)(70, 193)(71, 225)(72, 228)(73, 191)(74, 234)(75, 199)(76, 240)(77, 192)(78, 242)(79, 203)(80, 197)(81, 224)(82, 212)(83, 232)(84, 220)(85, 194)(86, 235)(87, 249)(88, 211)(89, 222)(90, 195)(91, 250)(92, 216)(93, 245)(94, 241)(95, 229)(96, 248)(97, 221)(98, 243)(99, 206)(100, 244)(101, 198)(102, 227)(103, 223)(104, 204)(105, 237)(106, 236)(107, 200)(108, 233)(109, 208)(110, 209)(111, 251)(112, 202)(113, 219)(114, 238)(115, 210)(116, 230)(117, 207)(118, 252)(119, 239)(120, 217)(121, 213)(122, 215)(123, 247)(124, 246)(125, 231)(126, 226)
	local type(s) :: { ( 4^28 ) }
Outer automorphisms :: reflexible
Dual of E28.104
Transitivity :: VT+
Graph::
	v = 9 e = 126 f = 63
	degree seq :: [ 28^9 ]

E28.104 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {7})
Quotient :: toric
Aut^+ = C3 x (C7 : C3) (small group id <63, 3>)
Aut   = (C3 x (C7 : C3)) : C2 (small group id <126, 9>)
|r| :: 2
Presentation :: [ Z, S^2, A^3, B^3, S * A * S * B, (S * Z)^2, (B * A^-1)^3, A * B * A^-1 * B^-1 * A^-1 * B^-1 * A^-1 * B^-1 * A^-1 * B^-1, (Z^-1 * A * B^-1 * A^-1 * B)^7 ]
Map:: polytopal non-degenerate
	R = (1, 64, 127, 190)(2, 65, 128, 191)(3, 66, 129, 192)(4, 67, 130, 193)(5, 68, 131, 194)(6, 69, 132, 195)(7, 70, 133, 196)(8, 71, 134, 197)(9, 72, 135, 198)(10, 73, 136, 199)(11, 74, 137, 200)(12, 75, 138, 201)(13, 76, 139, 202)(14, 77, 140, 203)(15, 78, 141, 204)(16, 79, 142, 205)(17, 80, 143, 206)(18, 81, 144, 207)(19, 82, 145, 208)(20, 83, 146, 209)(21, 84, 147, 210)(22, 85, 148, 211)(23, 86, 149, 212)(24, 87, 150, 213)(25, 88, 151, 214)(26, 89, 152, 215)(27, 90, 153, 216)(28, 91, 154, 217)(29, 92, 155, 218)(30, 93, 156, 219)(31, 94, 157, 220)(32, 95, 158, 221)(33, 96, 159, 222)(34, 97, 160, 223)(35, 98, 161, 224)(36, 99, 162, 225)(37, 100, 163, 226)(38, 101, 164, 227)(39, 102, 165, 228)(40, 103, 166, 229)(41, 104, 167, 230)(42, 105, 168, 231)(43, 106, 169, 232)(44, 107, 170, 233)(45, 108, 171, 234)(46, 109, 172, 235)(47, 110, 173, 236)(48, 111, 174, 237)(49, 112, 175, 238)(50, 113, 176, 239)(51, 114, 177, 240)(52, 115, 178, 241)(53, 116, 179, 242)(54, 117, 180, 243)(55, 118, 181, 244)(56, 119, 182, 245)(57, 120, 183, 246)(58, 121, 184, 247)(59, 122, 185, 248)(60, 123, 186, 249)(61, 124, 187, 250)(62, 125, 188, 251)(63, 126, 189, 252)
	L = (1, 128)(2, 130)(3, 134)(4, 127)(5, 138)(6, 140)(7, 142)(8, 135)(9, 129)(10, 147)(11, 149)(12, 139)(13, 131)(14, 141)(15, 132)(16, 143)(17, 133)(18, 159)(19, 152)(20, 162)(21, 148)(22, 136)(23, 150)(24, 137)(25, 168)(26, 161)(27, 170)(28, 172)(29, 157)(30, 175)(31, 174)(32, 177)(33, 160)(34, 144)(35, 145)(36, 163)(37, 146)(38, 183)(39, 166)(40, 185)(41, 179)(42, 169)(43, 151)(44, 171)(45, 153)(46, 173)(47, 154)(48, 155)(49, 176)(50, 156)(51, 178)(52, 158)(53, 181)(54, 188)(55, 167)(56, 187)(57, 184)(58, 164)(59, 165)(60, 180)(61, 189)(62, 186)(63, 182)(64, 194)(65, 196)(66, 190)(67, 200)(68, 192)(69, 191)(70, 195)(71, 208)(72, 209)(73, 193)(74, 199)(75, 211)(76, 216)(77, 218)(78, 219)(79, 198)(80, 221)(81, 197)(82, 207)(83, 205)(84, 228)(85, 214)(86, 204)(87, 230)(88, 201)(89, 202)(90, 215)(91, 203)(92, 217)(93, 212)(94, 206)(95, 220)(96, 242)(97, 243)(98, 245)(99, 223)(100, 246)(101, 210)(102, 227)(103, 213)(104, 229)(105, 247)(106, 235)(107, 232)(108, 237)(109, 233)(110, 251)(111, 250)(112, 236)(113, 222)(114, 226)(115, 248)(116, 239)(117, 225)(118, 224)(119, 244)(120, 240)(121, 249)(122, 252)(123, 231)(124, 234)(125, 238)(126, 241)
	local type(s) :: { ( 28^4 ) }
Outer automorphisms :: reflexible
Dual of E28.103
Transitivity :: VT+
Graph:: simple
	v = 63 e = 126 f = 9
	degree seq :: [ 4^63 ]

E28.105 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3})
Quotient :: toric
Aut^+ = C9 : C9 (small group id <81, 4>)
Aut   = (C9 : C9) : C2 (small group id <162, 6>)
|r| :: 2
Presentation :: [ S^2, Z^3, (Z, B^-1), (A^-1, Z), S * A * S * B, (S * Z)^2, A * Z^-1 * B^-1 * A^-1 * B, A^-1 * Z^-1 * B * A * B^-1, A^2 * B * A * B^2, A^5 * B^-1 * A * B^-2 ]
Map:: polytopal non-degenerate
	R = (1, 83, 164, 245, 2, 86, 167, 248, 5, 82, 163, 244)(3, 89, 170, 251, 8, 95, 176, 257, 14, 84, 165, 246)(4, 90, 171, 252, 9, 99, 180, 261, 18, 85, 166, 247)(6, 91, 172, 253, 10, 101, 182, 263, 20, 87, 168, 249)(7, 92, 173, 254, 11, 102, 183, 264, 21, 88, 169, 250)(12, 109, 190, 271, 28, 119, 200, 281, 38, 93, 174, 255)(13, 97, 178, 259, 16, 111, 192, 273, 30, 94, 175, 256)(15, 110, 191, 272, 29, 106, 187, 268, 25, 96, 177, 258)(17, 112, 193, 274, 31, 129, 210, 291, 48, 98, 179, 260)(19, 103, 184, 265, 22, 113, 194, 275, 32, 100, 181, 262)(23, 114, 195, 276, 33, 133, 214, 295, 52, 104, 185, 266)(24, 107, 188, 269, 26, 115, 196, 277, 34, 105, 186, 267)(27, 116, 197, 278, 35, 134, 215, 296, 53, 108, 189, 270)(36, 142, 223, 304, 61, 144, 225, 306, 63, 117, 198, 279)(37, 121, 202, 283, 40, 125, 206, 287, 44, 118, 199, 280)(39, 139, 220, 301, 58, 123, 204, 285, 42, 120, 201, 282)(41, 126, 207, 288, 45, 127, 208, 289, 46, 122, 203, 284)(43, 141, 222, 303, 60, 140, 221, 302, 59, 124, 205, 286)(47, 138, 219, 300, 57, 143, 224, 305, 62, 128, 209, 290)(49, 131, 212, 293, 50, 135, 216, 297, 54, 130, 211, 292)(51, 136, 217, 298, 55, 137, 218, 299, 56, 132, 213, 294)(64, 152, 233, 314, 71, 162, 243, 324, 81, 145, 226, 307)(65, 149, 230, 311, 68, 147, 228, 309, 66, 146, 227, 308)(67, 151, 232, 313, 70, 150, 231, 312, 69, 148, 229, 310)(72, 160, 241, 322, 79, 161, 242, 323, 80, 153, 234, 315)(73, 155, 236, 317, 74, 157, 238, 319, 76, 154, 235, 316)(75, 158, 239, 320, 77, 159, 240, 321, 78, 156, 237, 318)
	L = (1, 165)(2, 170)(3, 174)(4, 178)(5, 176)(6, 163)(7, 187)(8, 190)(9, 192)(10, 164)(11, 177)(12, 198)(13, 202)(14, 200)(15, 204)(16, 206)(17, 208)(18, 175)(19, 166)(20, 167)(21, 191)(22, 171)(23, 168)(24, 183)(25, 220)(26, 169)(27, 222)(28, 223)(29, 201)(30, 199)(31, 203)(32, 180)(33, 172)(34, 173)(35, 221)(36, 226)(37, 189)(38, 225)(39, 228)(40, 197)(41, 188)(42, 230)(43, 232)(44, 215)(45, 196)(46, 186)(47, 214)(48, 207)(49, 179)(50, 193)(51, 181)(52, 182)(53, 205)(54, 210)(55, 184)(56, 194)(57, 185)(58, 227)(59, 229)(60, 231)(61, 233)(62, 195)(63, 243)(64, 236)(65, 239)(66, 237)(67, 234)(68, 240)(69, 242)(70, 241)(71, 238)(72, 218)(73, 209)(74, 219)(75, 211)(76, 224)(77, 212)(78, 216)(79, 213)(80, 217)(81, 235)(82, 250)(83, 254)(84, 258)(85, 244)(86, 264)(87, 267)(88, 270)(89, 272)(90, 245)(91, 269)(92, 278)(93, 282)(94, 246)(95, 268)(96, 286)(97, 251)(98, 247)(99, 248)(100, 263)(101, 277)(102, 296)(103, 249)(104, 288)(105, 283)(106, 302)(107, 287)(108, 304)(109, 301)(110, 303)(111, 257)(112, 252)(113, 253)(114, 289)(115, 280)(116, 306)(117, 308)(118, 255)(119, 285)(120, 310)(121, 271)(122, 256)(123, 312)(124, 314)(125, 281)(126, 259)(127, 273)(128, 260)(129, 261)(130, 275)(131, 262)(132, 276)(133, 284)(134, 279)(135, 265)(136, 295)(137, 266)(138, 274)(139, 313)(140, 307)(141, 324)(142, 311)(143, 291)(144, 309)(145, 321)(146, 323)(147, 322)(148, 319)(149, 315)(150, 317)(151, 316)(152, 318)(153, 290)(154, 297)(155, 292)(156, 298)(157, 293)(158, 299)(159, 294)(160, 300)(161, 305)(162, 320)
	local type(s) :: { ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E28.106
Transitivity :: VT+
Graph::
	v = 27 e = 162 f = 81
	degree seq :: [ 12^27 ]

E28.106 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3})
Quotient :: toric
Aut^+ = C9 : C9 (small group id <81, 4>)
Aut   = (C9 : C9) : C2 (small group id <162, 6>)
|r| :: 2
Presentation :: [ Z, S^2, S * B * S * A, (S * Z)^2, B * A * B^2 * A^2, B^-2 * A^-1 * B^-1 * A^-2, B^-1 * A^-1 * B^-1 * A * B^-1 * A^-3, A^2 * B^-1 * A^-1 * B^2 * A^-1 * B^-1, B^-1 * A * B^-1 * A^3 * B^-1 * A^2, B^-2 * A * B^-4 * A^2, (Z^-1 * A^-1 * B * A * B^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 82, 163, 244)(2, 83, 164, 245)(3, 84, 165, 246)(4, 85, 166, 247)(5, 86, 167, 248)(6, 87, 168, 249)(7, 88, 169, 250)(8, 89, 170, 251)(9, 90, 171, 252)(10, 91, 172, 253)(11, 92, 173, 254)(12, 93, 174, 255)(13, 94, 175, 256)(14, 95, 176, 257)(15, 96, 177, 258)(16, 97, 178, 259)(17, 98, 179, 260)(18, 99, 180, 261)(19, 100, 181, 262)(20, 101, 182, 263)(21, 102, 183, 264)(22, 103, 184, 265)(23, 104, 185, 266)(24, 105, 186, 267)(25, 106, 187, 268)(26, 107, 188, 269)(27, 108, 189, 270)(28, 109, 190, 271)(29, 110, 191, 272)(30, 111, 192, 273)(31, 112, 193, 274)(32, 113, 194, 275)(33, 114, 195, 276)(34, 115, 196, 277)(35, 116, 197, 278)(36, 117, 198, 279)(37, 118, 199, 280)(38, 119, 200, 281)(39, 120, 201, 282)(40, 121, 202, 283)(41, 122, 203, 284)(42, 123, 204, 285)(43, 124, 205, 286)(44, 125, 206, 287)(45, 126, 207, 288)(46, 127, 208, 289)(47, 128, 209, 290)(48, 129, 210, 291)(49, 130, 211, 292)(50, 131, 212, 293)(51, 132, 213, 294)(52, 133, 214, 295)(53, 134, 215, 296)(54, 135, 216, 297)(55, 136, 217, 298)(56, 137, 218, 299)(57, 138, 219, 300)(58, 139, 220, 301)(59, 140, 221, 302)(60, 141, 222, 303)(61, 142, 223, 304)(62, 143, 224, 305)(63, 144, 225, 306)(64, 145, 226, 307)(65, 146, 227, 308)(66, 147, 228, 309)(67, 148, 229, 310)(68, 149, 230, 311)(69, 150, 231, 312)(70, 151, 232, 313)(71, 152, 233, 314)(72, 153, 234, 315)(73, 154, 235, 316)(74, 155, 236, 317)(75, 156, 237, 318)(76, 157, 238, 319)(77, 158, 239, 320)(78, 159, 240, 321)(79, 160, 241, 322)(80, 161, 242, 323)(81, 162, 243, 324)
	L = (1, 164)(2, 168)(3, 171)(4, 163)(5, 177)(6, 180)(7, 183)(8, 186)(9, 189)(10, 192)(11, 165)(12, 198)(13, 166)(14, 203)(15, 204)(16, 167)(17, 208)(18, 210)(19, 179)(20, 215)(21, 218)(22, 178)(23, 169)(24, 225)(25, 170)(26, 229)(27, 211)(28, 213)(29, 219)(30, 176)(31, 220)(32, 172)(33, 221)(34, 173)(35, 224)(36, 214)(37, 222)(38, 174)(39, 223)(40, 175)(41, 216)(42, 212)(43, 226)(44, 217)(45, 228)(46, 227)(47, 230)(48, 234)(49, 188)(50, 237)(51, 187)(52, 181)(53, 235)(54, 182)(55, 232)(56, 206)(57, 209)(58, 197)(59, 184)(60, 190)(61, 185)(62, 205)(63, 238)(64, 242)(65, 240)(66, 191)(67, 239)(68, 236)(69, 207)(70, 201)(71, 193)(72, 202)(73, 194)(74, 243)(75, 195)(76, 199)(77, 196)(78, 200)(79, 233)(80, 241)(81, 231)(82, 248)(83, 251)(84, 244)(85, 257)(86, 260)(87, 263)(88, 245)(89, 269)(90, 272)(91, 246)(92, 278)(93, 247)(94, 271)(95, 264)(96, 287)(97, 270)(98, 290)(99, 293)(100, 249)(101, 298)(102, 300)(103, 250)(104, 305)(105, 308)(106, 299)(107, 311)(108, 307)(109, 252)(110, 297)(111, 295)(112, 253)(113, 304)(114, 254)(115, 312)(116, 294)(117, 309)(118, 255)(119, 301)(120, 256)(121, 302)(122, 292)(123, 310)(124, 258)(125, 291)(126, 259)(127, 322)(128, 306)(129, 319)(130, 261)(131, 321)(132, 262)(133, 286)(134, 320)(135, 289)(136, 317)(137, 323)(138, 285)(139, 265)(140, 279)(141, 266)(142, 288)(143, 284)(144, 313)(145, 267)(146, 315)(147, 268)(148, 314)(149, 316)(150, 273)(151, 274)(152, 280)(153, 275)(154, 281)(155, 276)(156, 282)(157, 277)(158, 283)(159, 324)(160, 318)(161, 296)(162, 303)
	local type(s) :: { ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E28.105
Transitivity :: VT+
Graph:: simple
	v = 81 e = 162 f = 27
	degree seq :: [ 4^81 ]

E28.107 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3})
Quotient :: toric
Aut^+ = C27 : C3 (small group id <81, 6>)
Aut   = (C27 : C3) : C2 (small group id <162, 9>)
|r| :: 2
Presentation :: [ S^2, Z^3, Z^3, Z^3, S * B * S * A, (Z, A^-1), (S * Z)^2, (B^-1, Z^-1), A * Z * B * A^-1 * B^-1, A^-1 * Z * B^-1 * A * B, (B * A^-1)^3, A^3 * B^-3, B^3 * A^2 * B * A * B^2 ]
Map:: polytopal non-degenerate
	R = (1, 83, 164, 245, 2, 86, 167, 248, 5, 82, 163, 244)(3, 89, 170, 251, 8, 95, 176, 257, 14, 84, 165, 246)(4, 90, 171, 252, 9, 99, 180, 261, 18, 85, 166, 247)(6, 91, 172, 253, 10, 101, 182, 263, 20, 87, 168, 249)(7, 92, 173, 254, 11, 102, 183, 264, 21, 88, 169, 250)(12, 109, 190, 271, 28, 119, 200, 281, 38, 93, 174, 255)(13, 97, 178, 259, 16, 111, 192, 273, 30, 94, 175, 256)(15, 110, 191, 272, 29, 106, 187, 268, 25, 96, 177, 258)(17, 112, 193, 274, 31, 128, 209, 290, 47, 98, 179, 260)(19, 103, 184, 265, 22, 113, 194, 275, 32, 100, 181, 262)(23, 114, 195, 276, 33, 131, 212, 293, 50, 104, 185, 266)(24, 107, 188, 269, 26, 115, 196, 277, 34, 105, 186, 267)(27, 116, 197, 278, 35, 132, 213, 294, 51, 108, 189, 270)(36, 141, 222, 303, 60, 145, 226, 307, 64, 117, 198, 279)(37, 121, 202, 283, 40, 125, 206, 287, 44, 118, 199, 280)(39, 129, 210, 291, 48, 123, 204, 285, 42, 120, 201, 282)(41, 126, 207, 288, 45, 127, 208, 289, 46, 122, 203, 284)(43, 130, 211, 292, 49, 133, 214, 295, 52, 124, 205, 286)(53, 142, 223, 304, 61, 153, 234, 315, 72, 134, 215, 296)(54, 136, 217, 298, 55, 138, 219, 300, 57, 135, 216, 297)(56, 139, 220, 301, 58, 140, 221, 302, 59, 137, 218, 299)(62, 151, 232, 313, 70, 152, 233, 314, 71, 143, 224, 305)(63, 146, 227, 308, 65, 148, 229, 310, 67, 144, 225, 306)(66, 149, 230, 311, 68, 150, 231, 312, 69, 147, 228, 309)(73, 161, 242, 323, 80, 162, 243, 324, 81, 154, 235, 316)(74, 156, 237, 318, 75, 158, 239, 320, 77, 155, 236, 317)(76, 159, 240, 321, 78, 160, 241, 322, 79, 157, 238, 319)
	L = (1, 165)(2, 170)(3, 174)(4, 178)(5, 176)(6, 163)(7, 187)(8, 190)(9, 192)(10, 164)(11, 177)(12, 198)(13, 202)(14, 200)(15, 204)(16, 206)(17, 208)(18, 175)(19, 166)(20, 167)(21, 191)(22, 171)(23, 168)(24, 183)(25, 210)(26, 169)(27, 211)(28, 222)(29, 201)(30, 199)(31, 203)(32, 180)(33, 172)(34, 173)(35, 214)(36, 224)(37, 227)(38, 226)(39, 209)(40, 229)(41, 231)(42, 193)(43, 194)(44, 225)(45, 228)(46, 230)(47, 207)(48, 179)(49, 181)(50, 182)(51, 205)(52, 184)(53, 185)(54, 196)(55, 186)(56, 197)(57, 188)(58, 213)(59, 189)(60, 232)(61, 195)(62, 243)(63, 238)(64, 233)(65, 240)(66, 237)(67, 241)(68, 239)(69, 236)(70, 235)(71, 242)(72, 212)(73, 215)(74, 219)(75, 216)(76, 220)(77, 217)(78, 221)(79, 218)(80, 223)(81, 234)(82, 250)(83, 254)(84, 258)(85, 244)(86, 264)(87, 267)(88, 270)(89, 272)(90, 245)(91, 269)(92, 278)(93, 282)(94, 246)(95, 268)(96, 286)(97, 251)(98, 247)(99, 248)(100, 263)(101, 277)(102, 294)(103, 249)(104, 297)(105, 299)(106, 295)(107, 301)(108, 296)(109, 291)(110, 292)(111, 257)(112, 252)(113, 253)(114, 298)(115, 302)(116, 304)(117, 260)(118, 255)(119, 285)(120, 265)(121, 271)(122, 256)(123, 262)(124, 266)(125, 281)(126, 259)(127, 273)(128, 261)(129, 275)(130, 276)(131, 300)(132, 315)(133, 293)(134, 317)(135, 319)(136, 321)(137, 316)(138, 322)(139, 323)(140, 324)(141, 274)(142, 318)(143, 284)(144, 279)(145, 290)(146, 303)(147, 280)(148, 307)(149, 283)(150, 287)(151, 288)(152, 289)(153, 320)(154, 311)(155, 308)(156, 310)(157, 313)(158, 306)(159, 314)(160, 305)(161, 312)(162, 309)
	local type(s) :: { ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E28.108
Transitivity :: VT+
Graph::
	v = 27 e = 162 f = 81
	degree seq :: [ 12^27 ]

E28.108 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3})
Quotient :: toric
Aut^+ = C27 : C3 (small group id <81, 6>)
Aut   = (C27 : C3) : C2 (small group id <162, 9>)
|r| :: 2
Presentation :: [ Z, S^2, S * B * S * A, (S * Z)^2, B^2 * A^-3 * B, (A^-1 * B)^3, A^-1 * B^-1 * A^2 * B^-1 * A^2 * B^-1, B * A^2 * B * A^-1 * B^-2 * A^-1, A * B^2 * A * B^3 * A * B, B * A^4 * B^2 * A^2, (Z^-1 * A * B^-1 * A^-1 * B)^3 ]
Map:: polytopal non-degenerate
	R = (1, 82, 163, 244)(2, 83, 164, 245)(3, 84, 165, 246)(4, 85, 166, 247)(5, 86, 167, 248)(6, 87, 168, 249)(7, 88, 169, 250)(8, 89, 170, 251)(9, 90, 171, 252)(10, 91, 172, 253)(11, 92, 173, 254)(12, 93, 174, 255)(13, 94, 175, 256)(14, 95, 176, 257)(15, 96, 177, 258)(16, 97, 178, 259)(17, 98, 179, 260)(18, 99, 180, 261)(19, 100, 181, 262)(20, 101, 182, 263)(21, 102, 183, 264)(22, 103, 184, 265)(23, 104, 185, 266)(24, 105, 186, 267)(25, 106, 187, 268)(26, 107, 188, 269)(27, 108, 189, 270)(28, 109, 190, 271)(29, 110, 191, 272)(30, 111, 192, 273)(31, 112, 193, 274)(32, 113, 194, 275)(33, 114, 195, 276)(34, 115, 196, 277)(35, 116, 197, 278)(36, 117, 198, 279)(37, 118, 199, 280)(38, 119, 200, 281)(39, 120, 201, 282)(40, 121, 202, 283)(41, 122, 203, 284)(42, 123, 204, 285)(43, 124, 205, 286)(44, 125, 206, 287)(45, 126, 207, 288)(46, 127, 208, 289)(47, 128, 209, 290)(48, 129, 210, 291)(49, 130, 211, 292)(50, 131, 212, 293)(51, 132, 213, 294)(52, 133, 214, 295)(53, 134, 215, 296)(54, 135, 216, 297)(55, 136, 217, 298)(56, 137, 218, 299)(57, 138, 219, 300)(58, 139, 220, 301)(59, 140, 221, 302)(60, 141, 222, 303)(61, 142, 223, 304)(62, 143, 224, 305)(63, 144, 225, 306)(64, 145, 226, 307)(65, 146, 227, 308)(66, 147, 228, 309)(67, 148, 229, 310)(68, 149, 230, 311)(69, 150, 231, 312)(70, 151, 232, 313)(71, 152, 233, 314)(72, 153, 234, 315)(73, 154, 235, 316)(74, 155, 236, 317)(75, 156, 237, 318)(76, 157, 238, 319)(77, 158, 239, 320)(78, 159, 240, 321)(79, 160, 241, 322)(80, 161, 242, 323)(81, 162, 243, 324)
	L = (1, 164)(2, 168)(3, 171)(4, 163)(5, 177)(6, 180)(7, 183)(8, 186)(9, 189)(10, 192)(11, 165)(12, 196)(13, 166)(14, 200)(15, 193)(16, 167)(17, 194)(18, 208)(19, 210)(20, 213)(21, 215)(22, 218)(23, 169)(24, 219)(25, 170)(26, 220)(27, 209)(28, 211)(29, 217)(30, 216)(31, 172)(32, 173)(33, 221)(34, 212)(35, 174)(36, 175)(37, 224)(38, 214)(39, 176)(40, 225)(41, 222)(42, 223)(43, 178)(44, 226)(45, 179)(46, 239)(47, 234)(48, 236)(49, 233)(50, 181)(51, 190)(52, 182)(53, 237)(54, 235)(55, 240)(56, 232)(57, 184)(58, 185)(59, 203)(60, 241)(61, 191)(62, 187)(63, 197)(64, 188)(65, 231)(66, 238)(67, 204)(68, 195)(69, 198)(70, 205)(71, 199)(72, 206)(73, 201)(74, 207)(75, 202)(76, 242)(77, 243)(78, 227)(79, 228)(80, 229)(81, 230)(82, 248)(83, 251)(84, 244)(85, 257)(86, 260)(87, 263)(88, 245)(89, 269)(90, 272)(91, 246)(92, 276)(93, 247)(94, 280)(95, 283)(96, 278)(97, 287)(98, 279)(99, 253)(100, 249)(101, 255)(102, 298)(103, 250)(104, 302)(105, 254)(106, 306)(107, 256)(108, 303)(109, 252)(110, 295)(111, 293)(112, 301)(113, 310)(114, 305)(115, 304)(116, 311)(117, 313)(118, 315)(119, 307)(120, 317)(121, 312)(122, 258)(123, 259)(124, 318)(125, 319)(126, 320)(127, 265)(128, 261)(129, 321)(130, 262)(131, 284)(132, 266)(133, 275)(134, 322)(135, 264)(136, 274)(137, 270)(138, 277)(139, 285)(140, 281)(141, 267)(142, 268)(143, 288)(144, 323)(145, 324)(146, 271)(147, 273)(148, 282)(149, 286)(150, 297)(151, 291)(152, 296)(153, 308)(154, 290)(155, 309)(156, 289)(157, 299)(158, 292)(159, 300)(160, 294)(161, 314)(162, 316)
	local type(s) :: { ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E28.107
Transitivity :: VT+
Graph:: simple
	v = 81 e = 162 f = 27
	degree seq :: [ 4^81 ]

E28.109 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1 * Y2^-2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1^14, (Y3 * Y2^-1)^29, (Y3^-1 * Y1^-1)^29 ]
Map::
	R = (1, 30, 2, 31, 6, 35, 10, 39, 14, 43, 18, 47, 22, 51, 26, 55, 29, 58, 25, 54, 21, 50, 17, 46, 13, 42, 9, 38, 5, 34, 3, 32, 7, 36, 11, 40, 15, 44, 19, 48, 23, 52, 27, 56, 28, 57, 24, 53, 20, 49, 16, 45, 12, 41, 8, 37, 4, 33)(59, 88, 61, 90, 60, 89, 65, 94, 64, 93, 69, 98, 68, 97, 73, 102, 72, 101, 77, 106, 76, 105, 81, 110, 80, 109, 85, 114, 84, 113, 86, 115, 87, 116, 82, 111, 83, 112, 78, 107, 79, 108, 74, 103, 75, 104, 70, 99, 71, 100, 66, 95, 67, 96, 62, 91, 63, 92)
	L = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.110 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1 * Y2^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1^-14, (Y3^-1 * Y1^-1)^29, (Y3 * Y2^-1)^29 ]
Map::
	R = (1, 30, 2, 31, 6, 35, 10, 39, 14, 43, 18, 47, 22, 51, 26, 55, 28, 57, 24, 53, 20, 49, 16, 45, 12, 41, 8, 37, 3, 32, 5, 34, 7, 36, 11, 40, 15, 44, 19, 48, 23, 52, 27, 56, 29, 58, 25, 54, 21, 50, 17, 46, 13, 42, 9, 38, 4, 33)(59, 88, 61, 90, 62, 91, 66, 95, 67, 96, 70, 99, 71, 100, 74, 103, 75, 104, 78, 107, 79, 108, 82, 111, 83, 112, 86, 115, 87, 116, 84, 113, 85, 114, 80, 109, 81, 110, 76, 105, 77, 106, 72, 101, 73, 102, 68, 97, 69, 98, 64, 93, 65, 94, 60, 89, 63, 92)
	L = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.111 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1 * Y2^-3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2^-1 * Y1^9, (Y3^-1 * Y1^-1)^29, (Y3 * Y2^-1)^29 ]
Map::
	R = (1, 30, 2, 31, 6, 35, 12, 41, 18, 47, 24, 53, 27, 56, 21, 50, 15, 44, 9, 38, 3, 32, 7, 36, 13, 42, 19, 48, 25, 54, 29, 58, 23, 52, 17, 46, 11, 40, 5, 34, 8, 37, 14, 43, 20, 49, 26, 55, 28, 57, 22, 51, 16, 45, 10, 39, 4, 33)(59, 88, 61, 90, 66, 95, 60, 89, 65, 94, 72, 101, 64, 93, 71, 100, 78, 107, 70, 99, 77, 106, 84, 113, 76, 105, 83, 112, 86, 115, 82, 111, 87, 116, 80, 109, 85, 114, 81, 110, 74, 103, 79, 108, 75, 104, 68, 97, 73, 102, 69, 98, 62, 91, 67, 96, 63, 92)
	L = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.112 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^-1 * Y2^-3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2^-1 * Y1^-9, (Y3 * Y2^-1)^29, (Y3^-1 * Y1^-1)^29 ]
Map::
	R = (1, 30, 2, 31, 6, 35, 12, 41, 18, 47, 24, 53, 27, 56, 21, 50, 15, 44, 9, 38, 5, 34, 8, 37, 14, 43, 20, 49, 26, 55, 28, 57, 22, 51, 16, 45, 10, 39, 3, 32, 7, 36, 13, 42, 19, 48, 25, 54, 29, 58, 23, 52, 17, 46, 11, 40, 4, 33)(59, 88, 61, 90, 67, 96, 62, 91, 68, 97, 73, 102, 69, 98, 74, 103, 79, 108, 75, 104, 80, 109, 85, 114, 81, 110, 86, 115, 82, 111, 87, 116, 84, 113, 76, 105, 83, 112, 78, 107, 70, 99, 77, 106, 72, 101, 64, 93, 71, 100, 66, 95, 60, 89, 65, 94, 63, 92)
	L = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.113 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), Y2^-4 * Y1, (R * Y2 * Y3^-1)^2, Y1^7 * Y2, (Y3 * Y2^-1)^29, (Y3^-1 * Y1^-1)^29 ]
Map::
	R = (1, 30, 2, 31, 6, 35, 14, 43, 22, 51, 20, 49, 12, 41, 5, 34, 8, 37, 16, 45, 24, 53, 28, 57, 27, 56, 21, 50, 13, 42, 9, 38, 17, 46, 25, 54, 29, 58, 26, 55, 18, 47, 10, 39, 3, 32, 7, 36, 15, 44, 23, 52, 19, 48, 11, 40, 4, 33)(59, 88, 61, 90, 67, 96, 66, 95, 60, 89, 65, 94, 75, 104, 74, 103, 64, 93, 73, 102, 83, 112, 82, 111, 72, 101, 81, 110, 87, 116, 86, 115, 80, 109, 77, 106, 84, 113, 85, 114, 78, 107, 69, 98, 76, 105, 79, 108, 70, 99, 62, 91, 68, 97, 71, 100, 63, 92)
	L = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.114 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), Y2 * Y1 * Y2^3, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2 * Y1^-6, (Y3 * Y2^-1)^29, (Y3^-1 * Y1^-1)^29 ]
Map::
	R = (1, 30, 2, 31, 6, 35, 14, 43, 22, 51, 19, 48, 10, 39, 3, 32, 7, 36, 15, 44, 23, 52, 28, 57, 26, 55, 18, 47, 9, 38, 13, 42, 17, 46, 25, 54, 29, 58, 27, 56, 21, 50, 12, 41, 5, 34, 8, 37, 16, 45, 24, 53, 20, 49, 11, 40, 4, 33)(59, 88, 61, 90, 67, 96, 70, 99, 62, 91, 68, 97, 76, 105, 79, 108, 69, 98, 77, 106, 84, 113, 85, 114, 78, 107, 80, 109, 86, 115, 87, 116, 82, 111, 72, 101, 81, 110, 83, 112, 74, 103, 64, 93, 73, 102, 75, 104, 66, 95, 60, 89, 65, 94, 71, 100, 63, 92)
	L = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.115 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^4 * Y1^-1 * Y2, Y1 * Y2^-1 * Y1^5, (Y3 * Y2^-1)^29, (Y3^-1 * Y1^-1)^29 ]
Map::
	R = (1, 30, 2, 31, 6, 35, 14, 43, 20, 49, 10, 39, 3, 32, 7, 36, 15, 44, 24, 53, 27, 56, 19, 48, 9, 38, 17, 46, 25, 54, 29, 58, 23, 52, 13, 42, 18, 47, 26, 55, 28, 57, 22, 51, 12, 41, 5, 34, 8, 37, 16, 45, 21, 50, 11, 40, 4, 33)(59, 88, 61, 90, 67, 96, 76, 105, 66, 95, 60, 89, 65, 94, 75, 104, 84, 113, 74, 103, 64, 93, 73, 102, 83, 112, 86, 115, 79, 108, 72, 101, 82, 111, 87, 116, 80, 109, 69, 98, 78, 107, 85, 114, 81, 110, 70, 99, 62, 91, 68, 97, 77, 106, 71, 100, 63, 92)
	L = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.116 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (Y2^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1^-1 * Y2^-4, Y1^2 * Y2 * Y1^4, Y1 * Y2^-2 * Y1^-2 * Y2^2 * Y1, (Y3 * Y2^-1)^29, (Y3^-1 * Y1^-1)^29 ]
Map::
	R = (1, 30, 2, 31, 6, 35, 14, 43, 23, 52, 12, 41, 5, 34, 8, 37, 16, 45, 24, 53, 27, 56, 19, 48, 13, 42, 18, 47, 26, 55, 28, 57, 20, 49, 9, 38, 17, 46, 25, 54, 29, 58, 21, 50, 10, 39, 3, 32, 7, 36, 15, 44, 22, 51, 11, 40, 4, 33)(59, 88, 61, 90, 67, 96, 77, 106, 70, 99, 62, 91, 68, 97, 78, 107, 85, 114, 81, 110, 69, 98, 79, 108, 86, 115, 82, 111, 72, 101, 80, 109, 87, 116, 84, 113, 74, 103, 64, 93, 73, 102, 83, 112, 76, 105, 66, 95, 60, 89, 65, 94, 75, 104, 71, 100, 63, 92)
	L = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.117 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (Y1^-1, Y2), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y2^-1 * Y1^2 * Y2^-1 * Y1, Y1^-4 * Y2^3, Y1^-1 * Y2^-1 * Y1^-1 * Y2^-4 * Y1^-1, Y1 * Y2^21, (Y3 * Y2^-1)^29, (Y3^-1 * Y1^-1)^29 ]
Map::
	R = (1, 30, 2, 31, 6, 35, 14, 43, 19, 48, 28, 57, 24, 53, 13, 42, 18, 47, 21, 50, 10, 39, 3, 32, 7, 36, 15, 44, 26, 55, 29, 58, 23, 52, 12, 41, 5, 34, 8, 37, 16, 45, 20, 49, 9, 38, 17, 46, 27, 56, 25, 54, 22, 51, 11, 40, 4, 33)(59, 88, 61, 90, 67, 96, 77, 106, 87, 116, 80, 109, 76, 105, 66, 95, 60, 89, 65, 94, 75, 104, 86, 115, 81, 110, 69, 98, 79, 108, 74, 103, 64, 93, 73, 102, 85, 114, 82, 111, 70, 99, 62, 91, 68, 97, 78, 107, 72, 101, 84, 113, 83, 112, 71, 100, 63, 92)
	L = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.118 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (Y2^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^-3 * Y2^-3 * Y1^-1, Y2 * Y1 * Y2^2 * Y1^3, Y1^-1 * Y2 * Y1^-1 * Y2^4 * Y1^-1, Y1^3 * Y2^-1 * Y1^3 * Y2^-1 * Y1^3 * Y2^-1 * Y1^3 * Y2^-1 * Y1^3 * Y2^-1 * Y1^3 * Y2^-1 * Y1^3, (Y3 * Y2^-1)^29, (Y3^-1 * Y1^-1)^29 ]
Map::
	R = (1, 30, 2, 31, 6, 35, 14, 43, 25, 54, 28, 57, 20, 49, 9, 38, 17, 46, 23, 52, 12, 41, 5, 34, 8, 37, 16, 45, 26, 55, 29, 58, 21, 50, 10, 39, 3, 32, 7, 36, 15, 44, 24, 53, 13, 42, 18, 47, 27, 56, 19, 48, 22, 51, 11, 40, 4, 33)(59, 88, 61, 90, 67, 96, 77, 106, 84, 113, 72, 101, 82, 111, 70, 99, 62, 91, 68, 97, 78, 107, 85, 114, 74, 103, 64, 93, 73, 102, 81, 110, 69, 98, 79, 108, 86, 115, 76, 105, 66, 95, 60, 89, 65, 94, 75, 104, 80, 109, 87, 116, 83, 112, 71, 100, 63, 92)
	L = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.119 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y1)^2, Y1^-1 * Y2^-1 * Y1^-2 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2^8 * Y1^-1 * Y2, (Y3 * Y2^-1)^29, (Y3^-1 * Y1^-1)^29 ]
Map::
	R = (1, 30, 2, 31, 6, 35, 13, 42, 15, 44, 20, 49, 25, 54, 27, 56, 29, 58, 23, 52, 16, 45, 18, 47, 10, 39, 3, 32, 7, 36, 12, 41, 5, 34, 8, 37, 14, 43, 19, 48, 21, 50, 26, 55, 28, 57, 22, 51, 24, 53, 17, 46, 9, 38, 11, 40, 4, 33)(59, 88, 61, 90, 67, 96, 74, 103, 80, 109, 85, 114, 79, 108, 73, 102, 66, 95, 60, 89, 65, 94, 69, 98, 76, 105, 82, 111, 87, 116, 84, 113, 78, 107, 72, 101, 64, 93, 70, 99, 62, 91, 68, 97, 75, 104, 81, 110, 86, 115, 83, 112, 77, 106, 71, 100, 63, 92)
	L = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.120 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y1)^2, Y2 * Y1^-1 * Y2 * Y1^-2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1^-1 * Y2^-8, (Y3^-1 * Y1^-1)^29, (Y3 * Y2^-1)^29 ]
Map::
	R = (1, 30, 2, 31, 6, 35, 9, 38, 15, 44, 20, 49, 22, 51, 27, 56, 29, 58, 24, 53, 19, 48, 17, 46, 12, 41, 5, 34, 8, 37, 10, 39, 3, 32, 7, 36, 14, 43, 16, 45, 21, 50, 26, 55, 28, 57, 25, 54, 23, 52, 18, 47, 13, 42, 11, 40, 4, 33)(59, 88, 61, 90, 67, 96, 74, 103, 80, 109, 86, 115, 82, 111, 76, 105, 70, 99, 62, 91, 68, 97, 64, 93, 72, 101, 78, 107, 84, 113, 87, 116, 81, 110, 75, 104, 69, 98, 66, 95, 60, 89, 65, 94, 73, 102, 79, 108, 85, 114, 83, 112, 77, 106, 71, 100, 63, 92)
	L = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.121 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2^4 * Y1, Y2^-1 * Y1 * Y2^-1 * Y1^4, (Y3^-1 * Y1^-1)^29, (Y3 * Y2^-1)^29 ]
Map::
	R = (1, 30, 2, 31, 6, 35, 14, 43, 20, 49, 9, 38, 17, 46, 25, 54, 27, 56, 29, 58, 23, 52, 12, 41, 5, 34, 8, 37, 16, 45, 21, 50, 10, 39, 3, 32, 7, 36, 15, 44, 26, 55, 28, 57, 19, 48, 24, 53, 13, 42, 18, 47, 22, 51, 11, 40, 4, 33)(59, 88, 61, 90, 67, 96, 77, 106, 81, 110, 69, 98, 79, 108, 72, 101, 84, 113, 85, 114, 76, 105, 66, 95, 60, 89, 65, 94, 75, 104, 82, 111, 70, 99, 62, 91, 68, 97, 78, 107, 86, 115, 87, 116, 80, 109, 74, 103, 64, 93, 73, 102, 83, 112, 71, 100, 63, 92)
	L = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.122 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, Y1 * Y3^-2, Y2^2 * Y1, (R * Y3)^2, (R * Y1)^2, Y2 * Y1^-14, (Y3 * Y2^-1)^29, (Y3^-1 * Y1^-1)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 6, 35, 10, 39, 14, 43, 18, 47, 22, 51, 26, 55, 28, 57, 24, 53, 20, 49, 16, 45, 12, 41, 8, 37, 3, 32, 4, 33, 7, 36, 11, 40, 15, 44, 19, 48, 23, 52, 27, 56, 29, 58, 25, 54, 21, 50, 17, 46, 13, 42, 9, 38, 5, 34)(59, 88, 61, 90, 63, 92, 66, 95, 67, 96, 70, 99, 71, 100, 74, 103, 75, 104, 78, 107, 79, 108, 82, 111, 83, 112, 86, 115, 87, 116, 84, 113, 85, 114, 80, 109, 81, 110, 76, 105, 77, 106, 72, 101, 73, 102, 68, 97, 69, 98, 64, 93, 65, 94, 60, 89, 62, 91)
	L = (1, 62)(2, 65)(3, 59)(4, 60)(5, 61)(6, 69)(7, 64)(8, 63)(9, 66)(10, 73)(11, 68)(12, 67)(13, 70)(14, 77)(15, 72)(16, 71)(17, 74)(18, 81)(19, 76)(20, 75)(21, 78)(22, 85)(23, 80)(24, 79)(25, 82)(26, 87)(27, 84)(28, 83)(29, 86)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.165
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.123 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2, Y1 * Y2^3, Y1 * Y3^-1 * Y1^-1 * Y2^-1, (R * Y1)^2, R * Y2 * R * Y3^-1, Y1^10 * Y2, (Y1^-1 * Y2)^29, (Y3 * Y2^-1)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 6, 35, 12, 41, 18, 47, 24, 53, 27, 56, 21, 50, 15, 44, 9, 38, 4, 33, 8, 37, 14, 43, 20, 49, 26, 55, 28, 57, 22, 51, 16, 45, 10, 39, 3, 32, 7, 36, 13, 42, 19, 48, 25, 54, 29, 58, 23, 52, 17, 46, 11, 40, 5, 34)(59, 88, 61, 90, 67, 96, 63, 92, 68, 97, 73, 102, 69, 98, 74, 103, 79, 108, 75, 104, 80, 109, 85, 114, 81, 110, 86, 115, 82, 111, 87, 116, 84, 113, 76, 105, 83, 112, 78, 107, 70, 99, 77, 106, 72, 101, 64, 93, 71, 100, 66, 95, 60, 89, 65, 94, 62, 91)
	L = (1, 62)(2, 66)(3, 59)(4, 65)(5, 67)(6, 72)(7, 60)(8, 71)(9, 61)(10, 63)(11, 73)(12, 78)(13, 64)(14, 77)(15, 68)(16, 69)(17, 79)(18, 84)(19, 70)(20, 83)(21, 74)(22, 75)(23, 85)(24, 86)(25, 76)(26, 87)(27, 80)(28, 81)(29, 82)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.264
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.124 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-1, Y3 * Y2, (R * Y3)^2, Y1^-1 * Y2^-1 * Y1 * Y3^-1, Y1^-1 * Y3^-1 * Y1 * Y2^-1, (R * Y1)^2, Y1^-1 * Y3^-4, Y2^-1 * Y1 * Y2^-3, Y1 * Y2 * Y1^6, Y1 * Y2^-1 * Y1^2 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 6, 35, 14, 43, 22, 51, 20, 49, 12, 41, 4, 33, 8, 37, 16, 45, 24, 53, 28, 57, 27, 56, 19, 48, 11, 40, 9, 38, 17, 46, 25, 54, 29, 58, 26, 55, 18, 47, 10, 39, 3, 32, 7, 36, 15, 44, 23, 52, 21, 50, 13, 42, 5, 34)(59, 88, 61, 90, 67, 96, 66, 95, 60, 89, 65, 94, 75, 104, 74, 103, 64, 93, 73, 102, 83, 112, 82, 111, 72, 101, 81, 110, 87, 116, 86, 115, 80, 109, 79, 108, 84, 113, 85, 114, 78, 107, 71, 100, 76, 105, 77, 106, 70, 99, 63, 92, 68, 97, 69, 98, 62, 91)
	L = (1, 62)(2, 66)(3, 59)(4, 69)(5, 70)(6, 74)(7, 60)(8, 67)(9, 61)(10, 63)(11, 68)(12, 77)(13, 78)(14, 82)(15, 64)(16, 75)(17, 65)(18, 71)(19, 76)(20, 85)(21, 80)(22, 86)(23, 72)(24, 83)(25, 73)(26, 79)(27, 84)(28, 87)(29, 81)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.143
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.125 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, Y3^-2 * Y2^-2, R * Y2 * R * Y3^-1, (R * Y1)^2, Y1^-1 * Y3^-1 * Y1 * Y2^-1, Y1^-1 * Y2^-1 * Y1 * Y3^-1, Y2^4 * Y1, Y1^-3 * Y2 * Y1^-4, Y2^2 * Y1^-1 * Y2^2 * Y1^-1 * Y2^2 * Y1^-2 * Y3 * Y1^-2, (Y1^-1 * Y2)^29, (Y3 * Y2^-1)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 6, 35, 14, 43, 22, 51, 19, 48, 10, 39, 3, 32, 7, 36, 15, 44, 23, 52, 28, 57, 26, 55, 18, 47, 9, 38, 11, 40, 17, 46, 25, 54, 29, 58, 27, 56, 20, 49, 12, 41, 4, 33, 8, 37, 16, 45, 24, 53, 21, 50, 13, 42, 5, 34)(59, 88, 61, 90, 67, 96, 70, 99, 63, 92, 68, 97, 76, 105, 78, 107, 71, 100, 77, 106, 84, 113, 85, 114, 79, 108, 80, 109, 86, 115, 87, 116, 82, 111, 72, 101, 81, 110, 83, 112, 74, 103, 64, 93, 73, 102, 75, 104, 66, 95, 60, 89, 65, 94, 69, 98, 62, 91)
	L = (1, 62)(2, 66)(3, 59)(4, 69)(5, 70)(6, 74)(7, 60)(8, 75)(9, 61)(10, 63)(11, 65)(12, 67)(13, 78)(14, 82)(15, 64)(16, 83)(17, 73)(18, 68)(19, 71)(20, 76)(21, 85)(22, 79)(23, 72)(24, 87)(25, 81)(26, 77)(27, 84)(28, 80)(29, 86)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.200
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.126 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2, Y2^-1 * Y1 * Y3^-1 * Y1^-1, Y3^-1 * Y1^-1 * Y2^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y1^2 * Y2^-1 * Y1^-2, Y3^3 * Y1 * Y2^-2, Y1 * Y2^-1 * Y1^5, Y1^3 * Y2 * Y1 * Y3^-1 * Y1 * Y3^-2, Y3^-24 * Y1, (Y3 * Y2^-1)^29, (Y1^-1 * Y2)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 6, 35, 14, 43, 20, 49, 10, 39, 3, 32, 7, 36, 15, 44, 24, 53, 27, 56, 19, 48, 9, 38, 17, 46, 25, 54, 28, 57, 21, 50, 11, 40, 18, 47, 26, 55, 29, 58, 22, 51, 12, 41, 4, 33, 8, 37, 16, 45, 23, 52, 13, 42, 5, 34)(59, 88, 61, 90, 67, 96, 76, 105, 66, 95, 60, 89, 65, 94, 75, 104, 84, 113, 74, 103, 64, 93, 73, 102, 83, 112, 87, 116, 81, 110, 72, 101, 82, 111, 86, 115, 80, 109, 71, 100, 78, 107, 85, 114, 79, 108, 70, 99, 63, 92, 68, 97, 77, 106, 69, 98, 62, 91)
	L = (1, 62)(2, 66)(3, 59)(4, 69)(5, 70)(6, 74)(7, 60)(8, 76)(9, 61)(10, 63)(11, 77)(12, 79)(13, 80)(14, 81)(15, 64)(16, 84)(17, 65)(18, 67)(19, 68)(20, 71)(21, 85)(22, 86)(23, 87)(24, 72)(25, 73)(26, 75)(27, 78)(28, 82)(29, 83)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.271
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.127 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, (R * Y3)^2, Y2^-1 * Y1 * Y3^-1 * Y1^-1, Y2^-1 * Y1^-1 * Y3^-1 * Y1, (R * Y1)^2, Y1^-1 * Y2^-5, Y3^3 * Y1^-1 * Y3^2, Y1^5 * Y2 * Y1, Y1^2 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^2, Y1^-1 * Y3^-2 * Y1^-1 * Y3 * Y1^2 * Y2^-1, (Y1^-1 * Y2)^29, (Y3 * Y2^-1)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 6, 35, 14, 43, 22, 51, 12, 41, 4, 33, 8, 37, 16, 45, 24, 53, 27, 56, 19, 48, 11, 40, 18, 47, 26, 55, 28, 57, 20, 49, 9, 38, 17, 46, 25, 54, 29, 58, 21, 50, 10, 39, 3, 32, 7, 36, 15, 44, 23, 52, 13, 42, 5, 34)(59, 88, 61, 90, 67, 96, 77, 106, 70, 99, 63, 92, 68, 97, 78, 107, 85, 114, 80, 109, 71, 100, 79, 108, 86, 115, 82, 111, 72, 101, 81, 110, 87, 116, 84, 113, 74, 103, 64, 93, 73, 102, 83, 112, 76, 105, 66, 95, 60, 89, 65, 94, 75, 104, 69, 98, 62, 91)
	L = (1, 62)(2, 66)(3, 59)(4, 69)(5, 70)(6, 74)(7, 60)(8, 76)(9, 61)(10, 63)(11, 75)(12, 77)(13, 80)(14, 82)(15, 64)(16, 84)(17, 65)(18, 83)(19, 67)(20, 68)(21, 71)(22, 85)(23, 72)(24, 86)(25, 73)(26, 87)(27, 78)(28, 79)(29, 81)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.243
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.128 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2, Y2^-1 * Y3^-1, Y2^-1 * Y3^-1, Y2 * Y3, (Y2^-1, Y1), (R * Y1)^2, (R * Y3)^2, (Y3, Y1), Y2 * Y1^-5, Y1^-1 * Y3^-6, Y1 * Y2^-1 * Y3^2 * Y2^-2 * Y3, Y1^2 * Y3^-2 * Y1^2 * Y3^-3, Y2^29, Y1^3 * Y2 * Y1^3 * Y2 * Y1^3 * Y2 * Y1^3 * Y2 * Y1^3 * Y2 * Y1^3 * Y2 * Y1^3 * Y2 * Y1^3 * Y2 * Y1^3 * Y2 * Y1^3 * Y2 * Y1^3 * Y2 * Y1^3 * Y2 * Y1^3 * Y2 * Y1^2 * Y3^-1 * Y2, (Y3 * Y2^-1)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 6, 35, 14, 43, 10, 39, 3, 32, 7, 36, 15, 44, 24, 53, 20, 49, 9, 38, 17, 46, 25, 54, 28, 57, 21, 50, 19, 48, 27, 56, 29, 58, 22, 51, 11, 40, 18, 47, 26, 55, 23, 52, 12, 41, 4, 33, 8, 37, 16, 45, 13, 42, 5, 34)(59, 88, 61, 90, 67, 96, 77, 106, 76, 105, 66, 95, 60, 89, 65, 94, 75, 104, 85, 114, 84, 113, 74, 103, 64, 93, 73, 102, 83, 112, 87, 116, 81, 110, 71, 100, 72, 101, 82, 111, 86, 115, 80, 109, 70, 99, 63, 92, 68, 97, 78, 107, 79, 108, 69, 98, 62, 91)
	L = (1, 62)(2, 66)(3, 59)(4, 69)(5, 70)(6, 74)(7, 60)(8, 76)(9, 61)(10, 63)(11, 79)(12, 80)(13, 81)(14, 71)(15, 64)(16, 84)(17, 65)(18, 77)(19, 67)(20, 68)(21, 78)(22, 86)(23, 87)(24, 72)(25, 73)(26, 85)(27, 75)(28, 82)(29, 83)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.183
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.129 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^-1, (Y1^-1, Y2), R * Y2 * R * Y3^-1, (R * Y1)^2, Y1 * Y2 * Y1^-2 * Y2^-1 * Y1, Y3^2 * Y1 * Y3^-2 * Y1^-1, Y3 * Y1^-5, Y2 * Y1 * Y2 * Y3^-4, Y2^2 * Y1 * Y2^2 * Y3^-2, Y3 * Y1^-2 * Y2^2 * Y1 * Y2^-1 * Y1, Y3^3 * Y1^-1 * Y3^2 * Y1^-1 * Y3^2 * Y1^-1 * Y3^2 * Y1^-1 * Y3^2 * Y1^-1 * Y3^2 * Y1^-2, (Y3 * Y2^-1)^29, (Y3^-1 * Y1^-1)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 6, 35, 14, 43, 12, 41, 4, 33, 8, 37, 16, 45, 24, 53, 23, 52, 11, 40, 18, 47, 26, 55, 28, 57, 19, 48, 22, 51, 27, 56, 29, 58, 20, 49, 9, 38, 17, 46, 25, 54, 21, 50, 10, 39, 3, 32, 7, 36, 15, 44, 13, 42, 5, 34)(59, 88, 61, 90, 67, 96, 77, 106, 81, 110, 70, 99, 63, 92, 68, 97, 78, 107, 86, 115, 82, 111, 72, 101, 71, 100, 79, 108, 87, 116, 84, 113, 74, 103, 64, 93, 73, 102, 83, 112, 85, 114, 76, 105, 66, 95, 60, 89, 65, 94, 75, 104, 80, 109, 69, 98, 62, 91)
	L = (1, 62)(2, 66)(3, 59)(4, 69)(5, 70)(6, 74)(7, 60)(8, 76)(9, 61)(10, 63)(11, 80)(12, 81)(13, 72)(14, 82)(15, 64)(16, 84)(17, 65)(18, 85)(19, 67)(20, 68)(21, 71)(22, 75)(23, 77)(24, 86)(25, 73)(26, 87)(27, 83)(28, 78)(29, 79)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.207
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.130 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2, (Y1^-1, Y2^-1), (Y3^-1, Y1^-1), (R * Y3)^2, Y3^-1 * Y1^-1 * Y2^-1 * Y1, (R * Y1)^2, Y1^-1 * Y3^-1 * Y1 * Y2^-1, Y1 * Y2 * Y1^3, Y2^-1 * Y3 * Y1 * Y2^-1 * Y3^4, Y2^4 * Y3^-1 * Y1^-1 * Y2^2, Y2^-2 * Y1 * Y3 * Y2^-2 * Y1 * Y3 * Y2^-2 * Y1 * Y3 * Y2^-2 * Y1 * Y3 * Y2^-2 * Y1 * Y2^2 * Y1 * Y3, (Y1^-1 * Y2)^29, (Y3 * Y2^-1)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 6, 35, 12, 41, 4, 33, 8, 37, 14, 43, 21, 50, 11, 40, 16, 45, 22, 51, 27, 56, 20, 49, 24, 53, 28, 57, 29, 58, 25, 54, 17, 46, 23, 52, 26, 55, 18, 47, 9, 38, 15, 44, 19, 48, 10, 39, 3, 32, 7, 36, 13, 42, 5, 34)(59, 88, 61, 90, 67, 96, 75, 104, 82, 111, 74, 103, 66, 95, 60, 89, 65, 94, 73, 102, 81, 110, 86, 115, 80, 109, 72, 101, 64, 93, 71, 100, 77, 106, 84, 113, 87, 116, 85, 114, 79, 108, 70, 99, 63, 92, 68, 97, 76, 105, 83, 112, 78, 107, 69, 98, 62, 91)
	L = (1, 62)(2, 66)(3, 59)(4, 69)(5, 70)(6, 72)(7, 60)(8, 74)(9, 61)(10, 63)(11, 78)(12, 79)(13, 64)(14, 80)(15, 65)(16, 82)(17, 67)(18, 68)(19, 71)(20, 83)(21, 85)(22, 86)(23, 73)(24, 75)(25, 76)(26, 77)(27, 87)(28, 81)(29, 84)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.233
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.131 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2, (R * Y1)^2, Y1 * Y3^-1 * Y1^-1 * Y2^-1, Y3 * Y1 * Y2 * Y1^-1, R * Y2 * R * Y3^-1, Y2^-1 * Y1^4, Y3 * Y1^-1 * Y3^-2 * Y1 * Y3, Y3^3 * Y2^-3 * Y1^-1 * Y3, Y2^-2 * Y1 * Y3^3 * Y1 * Y3^3 * Y1 * Y3^3 * Y1 * Y3^-2 * Y2 * Y1^-1, (Y3 * Y2^-1)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 6, 35, 10, 39, 3, 32, 7, 36, 14, 43, 18, 47, 9, 38, 15, 44, 22, 51, 26, 55, 17, 46, 23, 52, 28, 57, 29, 58, 25, 54, 19, 48, 24, 53, 27, 56, 20, 49, 11, 40, 16, 45, 21, 50, 12, 41, 4, 33, 8, 37, 13, 42, 5, 34)(59, 88, 61, 90, 67, 96, 75, 104, 83, 112, 78, 107, 70, 99, 63, 92, 68, 97, 76, 105, 84, 113, 87, 116, 85, 114, 79, 108, 71, 100, 64, 93, 72, 101, 80, 109, 86, 115, 82, 111, 74, 103, 66, 95, 60, 89, 65, 94, 73, 102, 81, 110, 77, 106, 69, 98, 62, 91)
	L = (1, 62)(2, 66)(3, 59)(4, 69)(5, 70)(6, 71)(7, 60)(8, 74)(9, 61)(10, 63)(11, 77)(12, 78)(13, 79)(14, 64)(15, 65)(16, 82)(17, 67)(18, 68)(19, 81)(20, 83)(21, 85)(22, 72)(23, 73)(24, 86)(25, 75)(26, 76)(27, 87)(28, 80)(29, 84)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.276
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.132 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^-1, (Y1, Y3^-1), (Y1, Y3^-1), (Y3^-1, Y1), (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y1)^2, Y1^2 * Y3 * Y1 * Y2^-1 * Y1 * Y2^-1, Y1^3 * Y3 * Y2^-2 * Y1, Y2^-1 * Y1^-1 * Y3^2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1, Y3^2 * Y2^-1 * Y1^-1 * Y3 * Y1^-2 * Y2^-1, Y1 * Y2^2 * Y3^-1 * Y2^2 * Y3^-1 * Y2^2 * Y3^-1 * Y2^2 * Y3^-1 * Y2^2 * Y3^-1 * Y2^2 * Y3^-1 * Y2^2 * Y3^-1, Y2^29, (Y3^-1 * Y1^-1)^29, (Y3 * Y2^-1)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 6, 35, 14, 43, 19, 48, 28, 57, 23, 52, 11, 40, 18, 47, 21, 50, 10, 39, 3, 32, 7, 36, 15, 44, 26, 55, 29, 58, 24, 53, 12, 41, 4, 33, 8, 37, 16, 45, 20, 49, 9, 38, 17, 46, 27, 56, 22, 51, 25, 54, 13, 42, 5, 34)(59, 88, 61, 90, 67, 96, 77, 106, 87, 116, 83, 112, 76, 105, 66, 95, 60, 89, 65, 94, 75, 104, 86, 115, 82, 111, 71, 100, 79, 108, 74, 103, 64, 93, 73, 102, 85, 114, 81, 110, 70, 99, 63, 92, 68, 97, 78, 107, 72, 101, 84, 113, 80, 109, 69, 98, 62, 91)
	L = (1, 62)(2, 66)(3, 59)(4, 69)(5, 70)(6, 74)(7, 60)(8, 76)(9, 61)(10, 63)(11, 80)(12, 81)(13, 82)(14, 78)(15, 64)(16, 79)(17, 65)(18, 83)(19, 67)(20, 68)(21, 71)(22, 84)(23, 85)(24, 86)(25, 87)(26, 72)(27, 73)(28, 75)(29, 77)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.213
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.133 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, Y3^-1 * Y2^-1, (Y2^-1, Y1^-1), R * Y2 * R * Y3^-1, Y1 * Y2 * Y1^-1 * Y3, Y1^-1 * Y2 * Y1 * Y3, (R * Y1)^2, Y1 * Y2^2 * Y3^-1 * Y1^3, Y1^2 * Y2 * Y1^2 * Y3^-2, Y1^-1 * Y3^-2 * Y2 * Y3^-2 * Y1^-2, Y3^3 * Y1 * Y3 * Y1^2 * Y2^-1, Y2^4 * Y1^-1 * Y2 * Y1^-2, Y1^-1 * Y2 * Y1^-2 * Y2^-9 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y1^-1, Y2^-1 * Y1^3 * Y2^-1 * Y1^3 * Y2^-1 * Y1^3 * Y2^-1 * Y1^3 * Y2^-1 * Y1^3 * Y2^-1 * Y1^3 * Y2^-1 * Y1^-1 * Y3^2, Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, (Y3 * Y2^-1)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 6, 35, 14, 43, 22, 51, 28, 57, 20, 49, 9, 38, 17, 46, 24, 53, 12, 41, 4, 33, 8, 37, 16, 45, 26, 55, 29, 58, 21, 50, 10, 39, 3, 32, 7, 36, 15, 44, 23, 52, 11, 40, 18, 47, 27, 56, 19, 48, 25, 54, 13, 42, 5, 34)(59, 88, 61, 90, 67, 96, 77, 106, 84, 113, 72, 101, 81, 110, 70, 99, 63, 92, 68, 97, 78, 107, 85, 114, 74, 103, 64, 93, 73, 102, 82, 111, 71, 100, 79, 108, 86, 115, 76, 105, 66, 95, 60, 89, 65, 94, 75, 104, 83, 112, 87, 116, 80, 109, 69, 98, 62, 91)
	L = (1, 62)(2, 66)(3, 59)(4, 69)(5, 70)(6, 74)(7, 60)(8, 76)(9, 61)(10, 63)(11, 80)(12, 81)(13, 82)(14, 84)(15, 64)(16, 85)(17, 65)(18, 86)(19, 67)(20, 68)(21, 71)(22, 87)(23, 72)(24, 73)(25, 75)(26, 77)(27, 78)(28, 79)(29, 83)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.242
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.134 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^-1, Y2 * Y3, (Y3^-1, Y1^-1), (R * Y3)^2, Y3^-1 * Y1^-1 * Y2^-1 * Y1, Y1^-1 * Y3^-1 * Y1 * Y2^-1, (R * Y1)^2, Y3^-1 * Y1^3 * Y3^-1, Y2^2 * Y1^-1 * Y3^2 * Y1, Y3^3 * Y1 * Y3^2 * Y2^-4, Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y1 * Y3^2 * Y1 * Y3^2, Y1 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y2^29, (Y1^-1 * Y2)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 6, 35, 11, 40, 15, 44, 20, 49, 25, 54, 27, 56, 29, 58, 23, 52, 16, 45, 18, 47, 10, 39, 3, 32, 7, 36, 12, 41, 4, 33, 8, 37, 14, 43, 19, 48, 21, 50, 26, 55, 28, 57, 22, 51, 24, 53, 17, 46, 9, 38, 13, 42, 5, 34)(59, 88, 61, 90, 67, 96, 74, 103, 80, 109, 85, 114, 79, 108, 73, 102, 66, 95, 60, 89, 65, 94, 71, 100, 76, 105, 82, 111, 87, 116, 84, 113, 78, 107, 72, 101, 64, 93, 70, 99, 63, 92, 68, 97, 75, 104, 81, 110, 86, 115, 83, 112, 77, 106, 69, 98, 62, 91)
	L = (1, 62)(2, 66)(3, 59)(4, 69)(5, 70)(6, 72)(7, 60)(8, 73)(9, 61)(10, 63)(11, 77)(12, 64)(13, 65)(14, 78)(15, 79)(16, 67)(17, 68)(18, 71)(19, 83)(20, 84)(21, 85)(22, 74)(23, 75)(24, 76)(25, 86)(26, 87)(27, 80)(28, 81)(29, 82)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.277
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.135 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-1, Y3^-1 * Y2^-1, Y2^-1 * Y3^-1, Y1 * Y3^-1 * Y1^-1 * Y2^-1, (R * Y1)^2, R * Y2 * R * Y3^-1, Y2^-1 * Y1^2 * Y2^-1 * Y1, Y3^2 * Y1^3, Y3^-9 * Y1, Y3^-5 * Y2^24, (Y3 * Y2^-1)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 6, 35, 9, 38, 15, 44, 20, 49, 22, 51, 27, 56, 29, 58, 24, 53, 17, 46, 19, 48, 12, 41, 4, 33, 8, 37, 10, 39, 3, 32, 7, 36, 14, 43, 16, 45, 21, 50, 26, 55, 28, 57, 23, 52, 25, 54, 18, 47, 11, 40, 13, 42, 5, 34)(59, 88, 61, 90, 67, 96, 74, 103, 80, 109, 86, 115, 82, 111, 76, 105, 70, 99, 63, 92, 68, 97, 64, 93, 72, 101, 78, 107, 84, 113, 87, 116, 83, 112, 77, 106, 71, 100, 66, 95, 60, 89, 65, 94, 73, 102, 79, 108, 85, 114, 81, 110, 75, 104, 69, 98, 62, 91)
	L = (1, 62)(2, 66)(3, 59)(4, 69)(5, 70)(6, 68)(7, 60)(8, 71)(9, 61)(10, 63)(11, 75)(12, 76)(13, 77)(14, 64)(15, 65)(16, 67)(17, 81)(18, 82)(19, 83)(20, 72)(21, 73)(22, 74)(23, 85)(24, 86)(25, 87)(26, 78)(27, 79)(28, 80)(29, 84)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.190
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.136 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2, Y1^-3 * Y3^-1, R * Y2 * R * Y3^-1, (Y2^-1, Y1^-1), (R * Y1)^2, Y2 * Y1 * Y2^4 * Y1 * Y3^-4, Y3^-1 * Y1^-1 * Y3^-9, Y2^29, (Y3 * Y2^-1)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 6, 35, 3, 32, 7, 36, 12, 41, 9, 38, 13, 42, 18, 47, 15, 44, 19, 48, 24, 53, 21, 50, 25, 54, 28, 57, 27, 56, 29, 58, 22, 51, 26, 55, 23, 52, 16, 45, 20, 49, 17, 46, 10, 39, 14, 43, 11, 40, 4, 33, 8, 37, 5, 34)(59, 88, 61, 90, 67, 96, 73, 102, 79, 108, 85, 114, 84, 113, 78, 107, 72, 101, 66, 95, 60, 89, 65, 94, 71, 100, 77, 106, 83, 112, 87, 116, 81, 110, 75, 104, 69, 98, 63, 92, 64, 93, 70, 99, 76, 105, 82, 111, 86, 115, 80, 109, 74, 103, 68, 97, 62, 91)
	L = (1, 62)(2, 66)(3, 59)(4, 68)(5, 69)(6, 63)(7, 60)(8, 72)(9, 61)(10, 74)(11, 75)(12, 64)(13, 65)(14, 78)(15, 67)(16, 80)(17, 81)(18, 70)(19, 71)(20, 84)(21, 73)(22, 86)(23, 87)(24, 76)(25, 77)(26, 85)(27, 79)(28, 82)(29, 83)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.234
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.137 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, Y3 * Y1^-3, (R * Y3)^2, (R * Y1)^2, (Y1, Y2^-1), Y3 * Y1^-1 * Y3^9, Y2^3 * Y1 * Y2^2 * Y3^-5, Y2^29, (Y3 * Y2^-1)^29, (Y3^-1 * Y1^-1)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 6, 35, 4, 33, 8, 37, 12, 41, 11, 40, 14, 43, 18, 47, 17, 46, 20, 49, 24, 53, 23, 52, 26, 55, 27, 56, 29, 58, 28, 57, 21, 50, 25, 54, 22, 51, 15, 44, 19, 48, 16, 45, 9, 38, 13, 42, 10, 39, 3, 32, 7, 36, 5, 34)(59, 88, 61, 90, 67, 96, 73, 102, 79, 108, 85, 114, 82, 111, 76, 105, 70, 99, 64, 93, 63, 92, 68, 97, 74, 103, 80, 109, 86, 115, 84, 113, 78, 107, 72, 101, 66, 95, 60, 89, 65, 94, 71, 100, 77, 106, 83, 112, 87, 116, 81, 110, 75, 104, 69, 98, 62, 91)
	L = (1, 62)(2, 66)(3, 59)(4, 69)(5, 64)(6, 70)(7, 60)(8, 72)(9, 61)(10, 63)(11, 75)(12, 76)(13, 65)(14, 78)(15, 67)(16, 68)(17, 81)(18, 82)(19, 71)(20, 84)(21, 73)(22, 74)(23, 87)(24, 85)(25, 77)(26, 86)(27, 79)(28, 80)(29, 83)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.255
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.138 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-1, Y2^-1 * Y3^-1, Y3 * Y1 * Y2 * Y1^-1, (Y2^-1, Y1^-1), Y3^-1 * Y1^-1 * Y2^-1 * Y1, (Y3^-1, Y1), (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2^-1 * Y1 * Y3^-1, Y1 * Y3^3 * Y1^2 * Y2^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3, Y3 * Y1^-1 * Y3^2 * Y1^-4, Y3^7 * Y1^-2, (Y1^-1 * Y2)^29, (Y3 * Y2^-1)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 6, 35, 14, 43, 26, 55, 22, 51, 21, 50, 10, 39, 3, 32, 7, 36, 15, 44, 27, 56, 23, 52, 11, 40, 18, 47, 20, 49, 9, 38, 17, 46, 28, 57, 24, 53, 12, 41, 4, 33, 8, 37, 16, 45, 19, 48, 29, 58, 25, 54, 13, 42, 5, 34)(59, 88, 61, 90, 67, 96, 77, 106, 72, 101, 85, 114, 82, 111, 71, 100, 79, 108, 76, 105, 66, 95, 60, 89, 65, 94, 75, 104, 87, 116, 84, 113, 81, 110, 70, 99, 63, 92, 68, 97, 78, 107, 74, 103, 64, 93, 73, 102, 86, 115, 83, 112, 80, 109, 69, 98, 62, 91)
	L = (1, 62)(2, 66)(3, 59)(4, 69)(5, 70)(6, 74)(7, 60)(8, 76)(9, 61)(10, 63)(11, 80)(12, 81)(13, 82)(14, 77)(15, 64)(16, 78)(17, 65)(18, 79)(19, 67)(20, 68)(21, 71)(22, 83)(23, 84)(24, 85)(25, 86)(26, 87)(27, 72)(28, 73)(29, 75)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.170
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.139 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, (Y3, Y1), (Y2^-1, Y1), (Y1, Y3), Y3^-1 * Y1 * Y2^-1 * Y1^-1, (R * Y3)^2, Y1^-1 * Y3^-1 * Y1 * Y2^-1, (R * Y1)^2, Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1 * Y3, Y1^2 * Y3^-1 * Y1^-2 * Y2^-1, Y1 * Y2^2 * Y1^2 * Y3^-2, Y2^-1 * Y1 * Y3 * Y1^4 * Y3, Y3^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-2, (Y3 * Y2^-1)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 6, 35, 14, 43, 26, 55, 19, 48, 24, 53, 12, 41, 4, 33, 8, 37, 16, 45, 27, 56, 20, 49, 9, 38, 17, 46, 23, 52, 11, 40, 18, 47, 28, 57, 21, 50, 10, 39, 3, 32, 7, 36, 15, 44, 22, 51, 29, 58, 25, 54, 13, 42, 5, 34)(59, 88, 61, 90, 67, 96, 77, 106, 83, 112, 86, 115, 74, 103, 64, 93, 73, 102, 81, 110, 70, 99, 63, 92, 68, 97, 78, 107, 84, 113, 87, 116, 76, 105, 66, 95, 60, 89, 65, 94, 75, 104, 82, 111, 71, 100, 79, 108, 85, 114, 72, 101, 80, 109, 69, 98, 62, 91)
	L = (1, 62)(2, 66)(3, 59)(4, 69)(5, 70)(6, 74)(7, 60)(8, 76)(9, 61)(10, 63)(11, 80)(12, 81)(13, 82)(14, 85)(15, 64)(16, 86)(17, 65)(18, 87)(19, 67)(20, 68)(21, 71)(22, 72)(23, 73)(24, 75)(25, 77)(26, 78)(27, 79)(28, 83)(29, 84)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.274
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.140 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, (R * Y1)^2, (Y3^-1, Y1^-1), (R * Y3)^2, Y1^2 * Y2^-1 * Y1^-2 * Y2, Y2^2 * Y1 * Y2^-2 * Y1^-1, Y3 * Y1^-2 * Y3 * Y2^-2 * Y3, Y2^2 * Y1 * Y3^-3 * Y1, Y1 * Y2^3 * Y3^-1 * Y2 * Y1, Y1 * Y2^-1 * Y1^2 * Y2^-1 * Y1^2, Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-3, (Y1^-1 * Y3^-1)^29, (Y3 * Y2^-1)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 6, 35, 14, 43, 20, 49, 9, 38, 17, 46, 22, 51, 27, 56, 29, 58, 24, 53, 12, 41, 4, 33, 8, 37, 16, 45, 21, 50, 10, 39, 3, 32, 7, 36, 15, 44, 26, 55, 28, 57, 19, 48, 23, 52, 11, 40, 18, 47, 25, 54, 13, 42, 5, 34)(59, 88, 61, 90, 67, 96, 77, 106, 82, 111, 71, 100, 79, 108, 72, 101, 84, 113, 85, 114, 76, 105, 66, 95, 60, 89, 65, 94, 75, 104, 81, 110, 70, 99, 63, 92, 68, 97, 78, 107, 86, 115, 87, 116, 83, 112, 74, 103, 64, 93, 73, 102, 80, 109, 69, 98, 62, 91)
	L = (1, 62)(2, 66)(3, 59)(4, 69)(5, 70)(6, 74)(7, 60)(8, 76)(9, 61)(10, 63)(11, 80)(12, 81)(13, 82)(14, 79)(15, 64)(16, 83)(17, 65)(18, 85)(19, 67)(20, 68)(21, 71)(22, 73)(23, 75)(24, 77)(25, 87)(26, 72)(27, 84)(28, 78)(29, 86)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.250
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.141 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^-1, Y3^-1 * Y2^-1, Y2^-1 * Y3^-1, (Y3^-1, Y1^-1), (R * Y1)^2, (Y2^-1, Y1^-1), (R * Y3)^2, Y3^-2 * Y1^5, Y2^-1 * Y1 * Y3 * Y2^-1 * Y1 * Y2^-2, Y2 * Y1^-1 * Y3^-3 * Y2 * Y1^-1, Y3^12 * Y1^-1, Y1 * Y3^-12, Y1 * Y2^-1 * Y1^3 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^2, Y1^-1 * Y3^41, (Y3 * Y2^-1)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 6, 35, 14, 43, 23, 52, 11, 40, 18, 47, 19, 48, 27, 56, 28, 57, 21, 50, 10, 39, 3, 32, 7, 36, 15, 44, 24, 53, 12, 41, 4, 33, 8, 37, 16, 45, 26, 55, 29, 58, 22, 51, 20, 49, 9, 38, 17, 46, 25, 54, 13, 42, 5, 34)(59, 88, 61, 90, 67, 96, 77, 106, 74, 103, 64, 93, 73, 102, 83, 112, 86, 115, 87, 116, 81, 110, 70, 99, 63, 92, 68, 97, 78, 107, 76, 105, 66, 95, 60, 89, 65, 94, 75, 104, 85, 114, 84, 113, 72, 101, 82, 111, 71, 100, 79, 108, 80, 109, 69, 98, 62, 91)
	L = (1, 62)(2, 66)(3, 59)(4, 69)(5, 70)(6, 74)(7, 60)(8, 76)(9, 61)(10, 63)(11, 80)(12, 81)(13, 82)(14, 84)(15, 64)(16, 77)(17, 65)(18, 78)(19, 67)(20, 68)(21, 71)(22, 79)(23, 87)(24, 72)(25, 73)(26, 85)(27, 75)(28, 83)(29, 86)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.268
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.142 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, Y2 * Y3, (Y1, Y2^-1), (R * Y1)^2, (R * Y3)^2, (Y1, Y3^-1), Y1 * Y2 * Y1 * Y2^2, Y3^-1 * Y1 * Y3^-2 * Y1, Y1^-1 * Y2 * Y1^-8, (Y1^-1 * Y3^-1)^29, (Y3 * Y2^-1)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 6, 35, 14, 43, 20, 49, 26, 55, 24, 53, 18, 47, 10, 39, 3, 32, 7, 36, 11, 40, 16, 45, 22, 51, 28, 57, 29, 58, 23, 52, 17, 46, 9, 38, 12, 41, 4, 33, 8, 37, 15, 44, 21, 50, 27, 56, 25, 54, 19, 48, 13, 42, 5, 34)(59, 88, 61, 90, 67, 96, 71, 100, 76, 105, 81, 110, 83, 112, 84, 113, 86, 115, 79, 108, 72, 101, 74, 103, 66, 95, 60, 89, 65, 94, 70, 99, 63, 92, 68, 97, 75, 104, 77, 106, 82, 111, 87, 116, 85, 114, 78, 107, 80, 109, 73, 102, 64, 93, 69, 98, 62, 91)
	L = (1, 62)(2, 66)(3, 59)(4, 69)(5, 70)(6, 73)(7, 60)(8, 74)(9, 61)(10, 63)(11, 64)(12, 65)(13, 67)(14, 79)(15, 80)(16, 72)(17, 68)(18, 71)(19, 75)(20, 85)(21, 86)(22, 78)(23, 76)(24, 77)(25, 81)(26, 83)(27, 87)(28, 84)(29, 82)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.275
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.143 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, (Y1, Y2^-1), (Y1, Y3^-1), (R * Y3)^2, (R * Y1)^2, Y1 * Y3 * Y1 * Y3^2, Y3 * Y1 * Y2^-1 * Y1 * Y2^-1, Y1^-1 * Y3 * Y1^-8, Y1^-1 * Y3^13, Y2^29, (Y3 * Y2^-1)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 6, 35, 14, 43, 20, 49, 26, 55, 24, 53, 18, 47, 12, 41, 4, 33, 8, 37, 9, 38, 16, 45, 22, 51, 28, 57, 29, 58, 23, 52, 17, 46, 11, 40, 10, 39, 3, 32, 7, 36, 15, 44, 21, 50, 27, 56, 25, 54, 19, 48, 13, 42, 5, 34)(59, 88, 61, 90, 67, 96, 64, 93, 73, 102, 80, 109, 78, 107, 85, 114, 87, 116, 82, 111, 77, 106, 75, 104, 70, 99, 63, 92, 68, 97, 66, 95, 60, 89, 65, 94, 74, 103, 72, 101, 79, 108, 86, 115, 84, 113, 83, 112, 81, 110, 76, 105, 71, 100, 69, 98, 62, 91)
	L = (1, 62)(2, 66)(3, 59)(4, 69)(5, 70)(6, 67)(7, 60)(8, 68)(9, 61)(10, 63)(11, 71)(12, 75)(13, 76)(14, 74)(15, 64)(16, 65)(17, 77)(18, 81)(19, 82)(20, 80)(21, 72)(22, 73)(23, 83)(24, 87)(25, 84)(26, 86)(27, 78)(28, 79)(29, 85)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.124
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.144 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2, Y2 * Y1^2, R * Y2 * R * Y3^-1, (R * Y1)^2, Y1 * Y2^-14, (Y3^-1 * Y1^-1)^29, (Y3 * Y2^-1)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 4, 33, 6, 35, 9, 38, 10, 39, 13, 42, 14, 43, 17, 46, 18, 47, 21, 50, 22, 51, 25, 54, 26, 55, 29, 58, 27, 56, 28, 57, 23, 52, 24, 53, 19, 48, 20, 49, 15, 44, 16, 45, 11, 40, 12, 41, 7, 36, 8, 37, 3, 32, 5, 34)(59, 88, 61, 90, 65, 94, 69, 98, 73, 102, 77, 106, 81, 110, 85, 114, 84, 113, 80, 109, 76, 105, 72, 101, 68, 97, 64, 93, 60, 89, 63, 92, 66, 95, 70, 99, 74, 103, 78, 107, 82, 111, 86, 115, 87, 116, 83, 112, 79, 108, 75, 104, 71, 100, 67, 96, 62, 91)
	L = (1, 62)(2, 64)(3, 59)(4, 67)(5, 60)(6, 68)(7, 61)(8, 63)(9, 71)(10, 72)(11, 65)(12, 66)(13, 75)(14, 76)(15, 69)(16, 70)(17, 79)(18, 80)(19, 73)(20, 74)(21, 83)(22, 84)(23, 77)(24, 78)(25, 87)(26, 85)(27, 81)(28, 82)(29, 86)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.262
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.145 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, Y1^2 * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y1 * Y3^-14, Y2^29, (Y3 * Y2^-1)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 3, 32, 6, 35, 7, 36, 10, 39, 11, 40, 14, 43, 15, 44, 18, 47, 19, 48, 22, 51, 23, 52, 26, 55, 27, 56, 28, 57, 29, 58, 24, 53, 25, 54, 20, 49, 21, 50, 16, 45, 17, 46, 12, 41, 13, 42, 8, 37, 9, 38, 4, 33, 5, 34)(59, 88, 61, 90, 65, 94, 69, 98, 73, 102, 77, 106, 81, 110, 85, 114, 87, 116, 83, 112, 79, 108, 75, 104, 71, 100, 67, 96, 63, 92, 60, 89, 64, 93, 68, 97, 72, 101, 76, 105, 80, 109, 84, 113, 86, 115, 82, 111, 78, 107, 74, 103, 70, 99, 66, 95, 62, 91)
	L = (1, 62)(2, 63)(3, 59)(4, 66)(5, 67)(6, 60)(7, 61)(8, 70)(9, 71)(10, 64)(11, 65)(12, 74)(13, 75)(14, 68)(15, 69)(16, 78)(17, 79)(18, 72)(19, 73)(20, 82)(21, 83)(22, 76)(23, 77)(24, 86)(25, 87)(26, 80)(27, 81)(28, 84)(29, 85)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.148
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.146 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2 * Y3, Y2 * Y3^-1 * Y2, Y1^-1 * Y3 * Y2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1^5 * Y3 * Y1^4, Y1 * Y3^13, (Y3^-1 * Y1^-1)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 14, 43, 20, 49, 26, 55, 25, 54, 19, 48, 13, 42, 7, 36, 3, 32, 9, 38, 15, 44, 21, 50, 27, 56, 29, 58, 24, 53, 18, 47, 12, 41, 6, 35, 4, 33, 10, 39, 16, 45, 22, 51, 28, 57, 23, 52, 17, 46, 11, 40, 5, 34)(59, 88, 61, 90, 62, 91, 60, 89, 67, 96, 68, 97, 66, 95, 73, 102, 74, 103, 72, 101, 79, 108, 80, 109, 78, 107, 85, 114, 86, 115, 84, 113, 87, 116, 81, 110, 83, 112, 82, 111, 75, 104, 77, 106, 76, 105, 69, 98, 71, 100, 70, 99, 63, 92, 65, 94, 64, 93)
	L = (1, 62)(2, 68)(3, 60)(4, 67)(5, 64)(6, 61)(7, 59)(8, 74)(9, 66)(10, 73)(11, 70)(12, 65)(13, 63)(14, 80)(15, 72)(16, 79)(17, 76)(18, 71)(19, 69)(20, 86)(21, 78)(22, 85)(23, 82)(24, 77)(25, 75)(26, 81)(27, 84)(28, 87)(29, 83)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.150
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.147 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-2, Y2^2 * Y3^-1, Y2^-1 * Y3^-1 * Y2^-1 * Y1, (R * Y3)^2, (R * Y2)^2, (Y2^-1, Y1), (R * Y1)^2, Y1 * Y2 * Y1^6, (Y3^-1 * Y1^-1)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 16, 45, 24, 53, 22, 51, 14, 43, 6, 35, 11, 40, 19, 48, 27, 56, 29, 58, 23, 52, 15, 44, 7, 36, 4, 33, 10, 39, 18, 47, 26, 55, 28, 57, 20, 49, 12, 41, 3, 32, 9, 38, 17, 46, 25, 54, 21, 50, 13, 42, 5, 34)(59, 88, 61, 90, 62, 91, 69, 98, 60, 89, 67, 96, 68, 97, 77, 106, 66, 95, 75, 104, 76, 105, 85, 114, 74, 103, 83, 112, 84, 113, 87, 116, 82, 111, 79, 108, 86, 115, 81, 110, 80, 109, 71, 100, 78, 107, 73, 102, 72, 101, 63, 92, 70, 99, 65, 94, 64, 93)
	L = (1, 62)(2, 68)(3, 69)(4, 60)(5, 65)(6, 61)(7, 59)(8, 76)(9, 77)(10, 66)(11, 67)(12, 64)(13, 73)(14, 70)(15, 63)(16, 84)(17, 85)(18, 74)(19, 75)(20, 72)(21, 81)(22, 78)(23, 71)(24, 86)(25, 87)(26, 82)(27, 83)(28, 80)(29, 79)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.152
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.148 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-2, Y3^2 * Y1, (Y1^-1, Y2^-1), (R * Y1)^2, (R * Y2)^2, (Y1, Y2^-1), (R * Y3)^2, Y1^-1 * Y2 * Y1^-6 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 16, 45, 24, 53, 21, 50, 13, 42, 3, 32, 9, 38, 17, 46, 25, 54, 29, 58, 22, 51, 14, 43, 4, 33, 7, 36, 11, 40, 19, 48, 27, 56, 28, 57, 20, 49, 12, 41, 6, 35, 10, 39, 18, 47, 26, 55, 23, 52, 15, 44, 5, 34)(59, 88, 61, 90, 62, 91, 70, 99, 63, 92, 71, 100, 72, 101, 78, 107, 73, 102, 79, 108, 80, 109, 86, 115, 81, 110, 82, 111, 87, 116, 85, 114, 84, 113, 74, 103, 83, 112, 77, 106, 76, 105, 66, 95, 75, 104, 69, 98, 68, 97, 60, 89, 67, 96, 65, 94, 64, 93)
	L = (1, 62)(2, 65)(3, 70)(4, 63)(5, 72)(6, 61)(7, 59)(8, 69)(9, 64)(10, 67)(11, 60)(12, 71)(13, 78)(14, 73)(15, 80)(16, 77)(17, 68)(18, 75)(19, 66)(20, 79)(21, 86)(22, 81)(23, 87)(24, 85)(25, 76)(26, 83)(27, 74)(28, 82)(29, 84)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.145
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.149 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3, Y1^-1 * Y2 * Y3^2, Y2^-1 * Y3^-1 * Y1 * Y3^-1, (Y3, Y1^-1), Y2 * Y1^-1 * Y3^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2^-1 * Y1^-2 * Y2^-1 * Y1^2 * Y3, Y1^-2 * Y3^-2 * Y1^-3, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^2 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 18, 47, 23, 52, 13, 42, 3, 32, 9, 38, 19, 48, 28, 57, 24, 53, 14, 43, 4, 33, 10, 39, 20, 49, 27, 56, 17, 46, 7, 36, 12, 41, 22, 51, 29, 58, 26, 55, 16, 45, 6, 35, 11, 40, 21, 50, 25, 54, 15, 44, 5, 34)(59, 88, 61, 90, 62, 91, 70, 99, 69, 98, 60, 89, 67, 96, 68, 97, 80, 109, 79, 108, 66, 95, 77, 106, 78, 107, 87, 116, 83, 112, 76, 105, 86, 115, 85, 114, 84, 113, 73, 102, 81, 110, 82, 111, 75, 104, 74, 103, 63, 92, 71, 100, 72, 101, 65, 94, 64, 93)
	L = (1, 62)(2, 68)(3, 70)(4, 69)(5, 72)(6, 61)(7, 59)(8, 78)(9, 80)(10, 79)(11, 67)(12, 60)(13, 65)(14, 64)(15, 82)(16, 71)(17, 63)(18, 85)(19, 87)(20, 83)(21, 77)(22, 66)(23, 75)(24, 74)(25, 86)(26, 81)(27, 73)(28, 84)(29, 76)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.154
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.150 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1 * Y2, Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1, Y3 * Y2 * Y1 * Y3, Y2^-1 * Y1^-1 * Y3^-2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3 * Y1^-2 * Y3^-1 * Y1^2, Y3^-1 * Y1^-2 * Y2 * Y3^-2 * Y1, Y1^2 * Y3^-2 * Y1^3, Y2^-1 * Y1^-1 * Y3^10 * Y1^-1, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y3^2 * Y1^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 18, 47, 25, 54, 15, 44, 6, 35, 11, 40, 21, 50, 29, 58, 23, 52, 13, 42, 7, 36, 12, 41, 22, 51, 26, 55, 16, 45, 4, 33, 10, 39, 20, 49, 28, 57, 24, 53, 14, 43, 3, 32, 9, 38, 19, 48, 27, 56, 17, 46, 5, 34)(59, 88, 61, 90, 62, 91, 71, 100, 73, 102, 63, 92, 72, 101, 74, 103, 81, 110, 83, 112, 75, 104, 82, 111, 84, 113, 87, 116, 76, 105, 85, 114, 86, 115, 80, 109, 79, 108, 66, 95, 77, 106, 78, 107, 70, 99, 69, 98, 60, 89, 67, 96, 68, 97, 65, 94, 64, 93)
	L = (1, 62)(2, 68)(3, 71)(4, 73)(5, 74)(6, 61)(7, 59)(8, 78)(9, 65)(10, 64)(11, 67)(12, 60)(13, 63)(14, 81)(15, 72)(16, 83)(17, 84)(18, 86)(19, 70)(20, 69)(21, 77)(22, 66)(23, 75)(24, 87)(25, 82)(26, 76)(27, 80)(28, 79)(29, 85)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.146
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.151 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3^-1, (Y2^-1, Y1^-1), Y1 * Y3^-3, (Y2, Y1^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2^-1 * Y1^5, (Y3^-1 * Y1^-1)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 20, 49, 14, 43, 3, 32, 9, 38, 21, 50, 26, 55, 15, 44, 4, 33, 10, 39, 22, 51, 29, 58, 19, 48, 13, 42, 25, 54, 28, 57, 18, 47, 7, 36, 12, 41, 24, 53, 27, 56, 17, 46, 6, 35, 11, 40, 23, 52, 16, 45, 5, 34)(59, 88, 61, 90, 62, 91, 71, 100, 70, 99, 69, 98, 60, 89, 67, 96, 68, 97, 83, 112, 82, 111, 81, 110, 66, 95, 79, 108, 80, 109, 86, 115, 85, 114, 74, 103, 78, 107, 84, 113, 87, 116, 76, 105, 75, 104, 63, 92, 72, 101, 73, 102, 77, 106, 65, 94, 64, 93)
	L = (1, 62)(2, 68)(3, 71)(4, 70)(5, 73)(6, 61)(7, 59)(8, 80)(9, 83)(10, 82)(11, 67)(12, 60)(13, 69)(14, 77)(15, 65)(16, 84)(17, 72)(18, 63)(19, 64)(20, 87)(21, 86)(22, 85)(23, 79)(24, 66)(25, 81)(26, 76)(27, 78)(28, 74)(29, 75)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.156
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.152 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3^-1, Y1 * Y3^3, Y3^-3 * Y1^-1, (Y2, Y1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1^2 * Y3^-1 * Y1^-2 * Y3, Y2^-1 * Y1^-5, Y1^2 * Y3^-2 * Y1^2 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 20, 49, 18, 47, 6, 35, 11, 40, 23, 52, 28, 57, 15, 44, 7, 36, 12, 41, 24, 53, 26, 55, 13, 42, 19, 48, 25, 54, 29, 58, 16, 45, 4, 33, 10, 39, 22, 51, 27, 56, 14, 43, 3, 32, 9, 38, 21, 50, 17, 46, 5, 34)(59, 88, 61, 90, 62, 91, 71, 100, 73, 102, 76, 105, 63, 92, 72, 101, 74, 103, 84, 113, 86, 115, 78, 107, 75, 104, 85, 114, 87, 116, 82, 111, 81, 110, 66, 95, 79, 108, 80, 109, 83, 112, 70, 99, 69, 98, 60, 89, 67, 96, 68, 97, 77, 106, 65, 94, 64, 93)
	L = (1, 62)(2, 68)(3, 71)(4, 73)(5, 74)(6, 61)(7, 59)(8, 80)(9, 77)(10, 65)(11, 67)(12, 60)(13, 76)(14, 84)(15, 63)(16, 86)(17, 87)(18, 72)(19, 64)(20, 85)(21, 83)(22, 70)(23, 79)(24, 66)(25, 69)(26, 78)(27, 82)(28, 75)(29, 81)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.147
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.153 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^2, Y3^-1 * Y2^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y2^-1), (R * Y2)^2, (Y1, Y3^-1), Y3^-3 * Y1 * Y2^-1, Y1^-1 * Y2^-1 * Y1^-3, Y1 * Y2 * Y1^-2 * Y2^-1 * Y1, Y2^-1 * Y1^2 * Y3^-1 * Y2^-1 * Y1^2 * Y3^-1 * Y2^-1 * Y1^2 * Y3^-1 * Y2^-1 * Y1^2 * Y3^-1 * Y2^-1 * Y1^2 * Y3^-1 * Y2^-1 * Y1^2 * Y3^-1 * Y2^-1 * Y1^2 * Y3^-1 * Y2^-1 * Y1^2 * Y3^-1 * Y2^-1 * Y1^2 * Y3^-1 * Y2^-1 * Y1^2 * Y3^-1 * Y2^-1 * Y1^2 * Y3^-1 * Y2^-1 * Y1^2 * Y3^-1 * Y2^-1 * Y1^2 * Y3^-1 * Y2^-1 * Y1 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 18, 47, 6, 35, 11, 40, 23, 52, 19, 48, 7, 36, 12, 41, 24, 53, 28, 57, 20, 49, 15, 44, 26, 55, 29, 58, 21, 50, 13, 42, 25, 54, 27, 56, 16, 45, 4, 33, 10, 39, 22, 51, 14, 43, 3, 32, 9, 38, 17, 46, 5, 34)(59, 88, 61, 90, 62, 91, 71, 100, 73, 102, 70, 99, 69, 98, 60, 89, 67, 96, 68, 97, 83, 112, 84, 113, 82, 111, 81, 110, 66, 95, 75, 104, 80, 109, 85, 114, 87, 116, 86, 115, 77, 106, 76, 105, 63, 92, 72, 101, 74, 103, 79, 108, 78, 107, 65, 94, 64, 93)
	L = (1, 62)(2, 68)(3, 71)(4, 73)(5, 74)(6, 61)(7, 59)(8, 80)(9, 83)(10, 84)(11, 67)(12, 60)(13, 70)(14, 79)(15, 69)(16, 78)(17, 85)(18, 72)(19, 63)(20, 64)(21, 65)(22, 87)(23, 75)(24, 66)(25, 82)(26, 81)(27, 86)(28, 76)(29, 77)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.158
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.154 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3, (R * Y3)^2, (R * Y1)^2, (Y2, Y1), (R * Y2)^2, (Y3, Y1), Y1^-1 * Y3^-3 * Y2^-1, Y3 * Y1 * Y3^2 * Y2, Y2^-1 * Y1^4 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 14, 43, 3, 32, 9, 38, 22, 51, 16, 45, 4, 33, 10, 39, 23, 52, 27, 56, 13, 42, 21, 50, 26, 55, 28, 57, 15, 44, 20, 49, 25, 54, 29, 58, 19, 48, 7, 36, 12, 41, 24, 53, 18, 47, 6, 35, 11, 40, 17, 46, 5, 34)(59, 88, 61, 90, 62, 91, 71, 100, 73, 102, 77, 106, 76, 105, 63, 92, 72, 101, 74, 103, 85, 114, 86, 115, 87, 116, 82, 111, 75, 104, 66, 95, 80, 109, 81, 110, 84, 113, 83, 112, 70, 99, 69, 98, 60, 89, 67, 96, 68, 97, 79, 108, 78, 107, 65, 94, 64, 93)
	L = (1, 62)(2, 68)(3, 71)(4, 73)(5, 74)(6, 61)(7, 59)(8, 81)(9, 79)(10, 78)(11, 67)(12, 60)(13, 77)(14, 85)(15, 76)(16, 86)(17, 80)(18, 72)(19, 63)(20, 64)(21, 65)(22, 84)(23, 83)(24, 66)(25, 69)(26, 70)(27, 87)(28, 82)(29, 75)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.149
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.155 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^2, (Y1, Y3), (R * Y1)^2, (Y2^-1, Y1), (R * Y2)^2, (R * Y3)^2, Y3^-1 * Y1 * Y3^-3, Y1 * Y2 * Y1^2 * Y3^2, Y2 * Y1^-4 * Y3, Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2 * Y1 * Y2 * Y1^2 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 22, 51, 13, 42, 27, 56, 19, 48, 7, 36, 12, 41, 26, 55, 14, 43, 3, 32, 9, 38, 23, 52, 21, 50, 15, 44, 28, 57, 18, 47, 6, 35, 11, 40, 25, 54, 16, 45, 4, 33, 10, 39, 24, 53, 20, 49, 29, 58, 17, 46, 5, 34)(59, 88, 61, 90, 62, 91, 71, 100, 73, 102, 87, 116, 70, 99, 69, 98, 60, 89, 67, 96, 68, 97, 85, 114, 86, 115, 75, 104, 84, 113, 83, 112, 66, 95, 81, 110, 82, 111, 77, 106, 76, 105, 63, 92, 72, 101, 74, 103, 80, 109, 79, 108, 78, 107, 65, 94, 64, 93)
	L = (1, 62)(2, 68)(3, 71)(4, 73)(5, 74)(6, 61)(7, 59)(8, 82)(9, 85)(10, 86)(11, 67)(12, 60)(13, 87)(14, 80)(15, 70)(16, 79)(17, 83)(18, 72)(19, 63)(20, 64)(21, 65)(22, 78)(23, 77)(24, 76)(25, 81)(26, 66)(27, 75)(28, 84)(29, 69)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.160
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.156 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-2, (Y1, Y2^-1), (Y1, Y3^-1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^4 * Y1, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1, Y1^-1 * Y2 * Y1^-2 * Y3^2, Y3^-1 * Y1^-2 * Y2^-1 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 22, 51, 20, 49, 28, 57, 16, 45, 4, 33, 10, 39, 24, 53, 18, 47, 6, 35, 11, 40, 25, 54, 15, 44, 21, 50, 29, 58, 14, 43, 3, 32, 9, 38, 23, 52, 19, 48, 7, 36, 12, 41, 26, 55, 13, 42, 27, 56, 17, 46, 5, 34)(59, 88, 61, 90, 62, 91, 71, 100, 73, 102, 80, 109, 77, 106, 76, 105, 63, 92, 72, 101, 74, 103, 84, 113, 83, 112, 66, 95, 81, 110, 82, 111, 75, 104, 87, 116, 86, 115, 70, 99, 69, 98, 60, 89, 67, 96, 68, 97, 85, 114, 79, 108, 78, 107, 65, 94, 64, 93)
	L = (1, 62)(2, 68)(3, 71)(4, 73)(5, 74)(6, 61)(7, 59)(8, 82)(9, 85)(10, 79)(11, 67)(12, 60)(13, 80)(14, 84)(15, 77)(16, 83)(17, 86)(18, 72)(19, 63)(20, 64)(21, 65)(22, 76)(23, 75)(24, 87)(25, 81)(26, 66)(27, 78)(28, 69)(29, 70)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.151
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.157 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3^-1, (Y3^-1, Y1), (Y3, Y1), (Y1^-1, Y2^-1), Y1^-3 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2 * Y1 * Y2 * Y1^2, Y3^2 * Y2 * Y3^2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 7, 36, 12, 41, 21, 50, 19, 48, 25, 54, 29, 58, 26, 55, 13, 42, 22, 51, 14, 43, 3, 32, 9, 38, 17, 46, 6, 35, 11, 40, 20, 49, 18, 47, 24, 53, 28, 57, 27, 56, 15, 44, 23, 52, 16, 45, 4, 33, 10, 39, 5, 34)(59, 88, 61, 90, 62, 91, 71, 100, 73, 102, 83, 112, 82, 111, 70, 99, 69, 98, 60, 89, 67, 96, 68, 97, 80, 109, 81, 110, 87, 116, 86, 115, 79, 108, 78, 107, 66, 95, 75, 104, 63, 92, 72, 101, 74, 103, 84, 113, 85, 114, 77, 106, 76, 105, 65, 94, 64, 93)
	L = (1, 62)(2, 68)(3, 71)(4, 73)(5, 74)(6, 61)(7, 59)(8, 63)(9, 80)(10, 81)(11, 67)(12, 60)(13, 83)(14, 84)(15, 82)(16, 85)(17, 72)(18, 64)(19, 65)(20, 75)(21, 66)(22, 87)(23, 86)(24, 69)(25, 70)(26, 77)(27, 76)(28, 78)(29, 79)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.162
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.158 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3 * Y2^-1, (R * Y1)^2, Y1^3 * Y3^-1, (Y2, Y1^-1), (R * Y3)^2, (R * Y2)^2, Y3 * Y1 * Y2^-2 * Y1^-1, Y1^-1 * Y2 * Y1^-2 * Y2, Y3^-4 * Y1^-1 * Y2^-1, Y3^-2 * Y1 * Y3^2 * Y1^-1, (Y3^-1 * Y1^-1)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 4, 33, 10, 39, 21, 50, 15, 44, 23, 52, 29, 58, 27, 56, 18, 47, 24, 53, 16, 45, 6, 35, 11, 40, 14, 43, 3, 32, 9, 38, 20, 49, 13, 42, 22, 51, 28, 57, 26, 55, 19, 48, 25, 54, 17, 46, 7, 36, 12, 41, 5, 34)(59, 88, 61, 90, 62, 91, 71, 100, 73, 102, 84, 113, 85, 114, 75, 104, 74, 103, 63, 92, 72, 101, 66, 95, 78, 107, 79, 108, 86, 115, 87, 116, 83, 112, 82, 111, 70, 99, 69, 98, 60, 89, 67, 96, 68, 97, 80, 109, 81, 110, 77, 106, 76, 105, 65, 94, 64, 93)
	L = (1, 62)(2, 68)(3, 71)(4, 73)(5, 66)(6, 61)(7, 59)(8, 79)(9, 80)(10, 81)(11, 67)(12, 60)(13, 84)(14, 78)(15, 85)(16, 72)(17, 63)(18, 64)(19, 65)(20, 86)(21, 87)(22, 77)(23, 76)(24, 69)(25, 70)(26, 75)(27, 74)(28, 83)(29, 82)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.153
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.159 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1 * Y2, Y1^-1 * Y2 * Y1^-2, (Y1, Y3^-1), (Y1^-1, Y2), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^5 * Y1^-1, Y2 * Y1^-1 * Y3^-1 * Y1^-1 * Y2 * Y1^2, Y3 * Y1 * Y3 * Y1 * Y3^2 * Y2 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 3, 32, 9, 38, 15, 44, 4, 33, 10, 39, 20, 49, 13, 42, 21, 50, 26, 55, 14, 43, 22, 51, 29, 58, 25, 54, 28, 57, 19, 48, 24, 53, 27, 56, 18, 47, 23, 52, 17, 46, 7, 36, 12, 41, 16, 45, 6, 35, 11, 40, 5, 34)(59, 88, 61, 90, 62, 91, 71, 100, 72, 101, 83, 112, 82, 111, 81, 110, 70, 99, 69, 98, 60, 89, 67, 96, 68, 97, 79, 108, 80, 109, 86, 115, 85, 114, 75, 104, 74, 103, 63, 92, 66, 95, 73, 102, 78, 107, 84, 113, 87, 116, 77, 106, 76, 105, 65, 94, 64, 93)
	L = (1, 62)(2, 68)(3, 71)(4, 72)(5, 73)(6, 61)(7, 59)(8, 78)(9, 79)(10, 80)(11, 67)(12, 60)(13, 83)(14, 82)(15, 84)(16, 66)(17, 63)(18, 64)(19, 65)(20, 87)(21, 86)(22, 85)(23, 69)(24, 70)(25, 81)(26, 77)(27, 74)(28, 75)(29, 76)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.164
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.160 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-2, (Y2, Y1^-1), Y1 * Y2 * Y1^2, (Y1, Y3^-1), (R * Y3)^2, Y1^-3 * Y2^-1, (R * Y1)^2, (R * Y2)^2, Y1^-1 * Y3^-1 * Y2^-1 * Y1 * Y3 * Y2, Y1^-1 * Y3^-5, Y1 * Y2^-1 * Y3^-1 * Y1^2 * Y3^2, Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 6, 35, 11, 40, 17, 46, 7, 36, 12, 41, 20, 49, 18, 47, 23, 52, 27, 56, 19, 48, 24, 53, 25, 54, 29, 58, 28, 57, 15, 44, 22, 51, 26, 55, 13, 42, 21, 50, 16, 45, 4, 33, 10, 39, 14, 43, 3, 32, 9, 38, 5, 34)(59, 88, 61, 90, 62, 91, 71, 100, 73, 102, 83, 112, 85, 114, 78, 107, 75, 104, 66, 95, 63, 92, 72, 101, 74, 103, 84, 113, 86, 115, 82, 111, 81, 110, 70, 99, 69, 98, 60, 89, 67, 96, 68, 97, 79, 108, 80, 109, 87, 116, 77, 106, 76, 105, 65, 94, 64, 93)
	L = (1, 62)(2, 68)(3, 71)(4, 73)(5, 74)(6, 61)(7, 59)(8, 72)(9, 79)(10, 80)(11, 67)(12, 60)(13, 83)(14, 84)(15, 85)(16, 86)(17, 63)(18, 64)(19, 65)(20, 66)(21, 87)(22, 77)(23, 69)(24, 70)(25, 78)(26, 82)(27, 75)(28, 81)(29, 76)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.155
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.161 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^2, (Y2, Y1^-1), (R * Y3)^2, (Y3^-1, Y1), (R * Y1)^2, (R * Y2)^2, Y1^-1 * Y3 * Y1^-2 * Y3, Y3^3 * Y1 * Y2 * Y1, Y2^-1 * Y1^-2 * Y3^-3, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-2 * Y2^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 15, 44, 26, 55, 20, 49, 27, 56, 14, 43, 3, 32, 9, 38, 22, 51, 28, 57, 19, 48, 7, 36, 12, 41, 16, 45, 4, 33, 10, 39, 23, 52, 29, 58, 18, 47, 6, 35, 11, 40, 24, 53, 13, 42, 25, 54, 21, 50, 17, 46, 5, 34)(59, 88, 61, 90, 62, 91, 71, 100, 73, 102, 86, 115, 87, 116, 75, 104, 85, 114, 70, 99, 69, 98, 60, 89, 67, 96, 68, 97, 83, 112, 84, 113, 77, 106, 76, 105, 63, 92, 72, 101, 74, 103, 82, 111, 66, 95, 80, 109, 81, 110, 79, 108, 78, 107, 65, 94, 64, 93)
	L = (1, 62)(2, 68)(3, 71)(4, 73)(5, 74)(6, 61)(7, 59)(8, 81)(9, 83)(10, 84)(11, 67)(12, 60)(13, 86)(14, 82)(15, 87)(16, 66)(17, 70)(18, 72)(19, 63)(20, 64)(21, 65)(22, 79)(23, 78)(24, 80)(25, 77)(26, 76)(27, 69)(28, 75)(29, 85)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.166
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.162 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3^-1, (Y2^-1, Y1^-1), (R * Y2)^2, (Y1, Y3), (R * Y3)^2, (R * Y1)^2, Y3^-2 * Y1^-3, Y3^2 * Y1^-1 * Y3 * Y2 * Y1^-1, Y1^-2 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1, Y2^-1 * Y1^2 * Y3^-3, Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-2, Y1^-1 * Y3 * Y2 * Y3 * Y1^-1 * Y3, Y3^-6 * Y1^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 21, 50, 27, 56, 13, 42, 25, 54, 18, 47, 6, 35, 11, 40, 23, 52, 29, 58, 16, 45, 4, 33, 10, 39, 19, 48, 7, 36, 12, 41, 24, 53, 28, 57, 14, 43, 3, 32, 9, 38, 22, 51, 20, 49, 26, 55, 15, 44, 17, 46, 5, 34)(59, 88, 61, 90, 62, 91, 71, 100, 73, 102, 82, 111, 81, 110, 66, 95, 80, 109, 77, 106, 76, 105, 63, 92, 72, 101, 74, 103, 85, 114, 84, 113, 70, 99, 69, 98, 60, 89, 67, 96, 68, 97, 83, 112, 75, 104, 86, 115, 87, 116, 79, 108, 78, 107, 65, 94, 64, 93)
	L = (1, 62)(2, 68)(3, 71)(4, 73)(5, 74)(6, 61)(7, 59)(8, 77)(9, 83)(10, 75)(11, 67)(12, 60)(13, 82)(14, 85)(15, 81)(16, 84)(17, 87)(18, 72)(19, 63)(20, 64)(21, 65)(22, 76)(23, 80)(24, 66)(25, 86)(26, 69)(27, 70)(28, 79)(29, 78)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.157
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.163 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3 * Y2^-1, (Y1^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2)^2, Y1 * Y3 * Y1 * Y3 * Y2, Y1^-1 * Y3 * Y1^-4, Y3^6 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 22, 51, 16, 45, 4, 33, 10, 39, 20, 49, 25, 54, 29, 58, 15, 44, 18, 47, 6, 35, 11, 40, 23, 52, 28, 57, 14, 43, 3, 32, 9, 38, 21, 50, 26, 55, 27, 56, 13, 42, 19, 48, 7, 36, 12, 41, 24, 53, 17, 46, 5, 34)(59, 88, 61, 90, 62, 91, 71, 100, 73, 102, 75, 104, 86, 115, 80, 109, 84, 113, 83, 112, 70, 99, 69, 98, 60, 89, 67, 96, 68, 97, 77, 106, 76, 105, 63, 92, 72, 101, 74, 103, 85, 114, 87, 116, 82, 111, 81, 110, 66, 95, 79, 108, 78, 107, 65, 94, 64, 93)
	L = (1, 62)(2, 68)(3, 71)(4, 73)(5, 74)(6, 61)(7, 59)(8, 78)(9, 77)(10, 76)(11, 67)(12, 60)(13, 75)(14, 85)(15, 86)(16, 87)(17, 80)(18, 72)(19, 63)(20, 64)(21, 65)(22, 83)(23, 79)(24, 66)(25, 69)(26, 70)(27, 82)(28, 84)(29, 81)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.167
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.164 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3^-1, (Y3^-1, Y1^-1), (Y2^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y2^-1, Y1 * Y3 * Y1^4, Y3^8 * Y1^-1 * Y2, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 22, 51, 19, 48, 7, 36, 12, 41, 13, 42, 25, 54, 29, 58, 21, 50, 14, 43, 3, 32, 9, 38, 23, 52, 27, 56, 18, 47, 6, 35, 11, 40, 15, 44, 26, 55, 28, 57, 20, 49, 16, 45, 4, 33, 10, 39, 24, 53, 17, 46, 5, 34)(59, 88, 61, 90, 62, 91, 71, 100, 73, 102, 66, 95, 81, 110, 82, 111, 87, 116, 86, 115, 77, 106, 76, 105, 63, 92, 72, 101, 74, 103, 70, 99, 69, 98, 60, 89, 67, 96, 68, 97, 83, 112, 84, 113, 80, 109, 85, 114, 75, 104, 79, 108, 78, 107, 65, 94, 64, 93)
	L = (1, 62)(2, 68)(3, 71)(4, 73)(5, 74)(6, 61)(7, 59)(8, 82)(9, 83)(10, 84)(11, 67)(12, 60)(13, 66)(14, 70)(15, 81)(16, 69)(17, 78)(18, 72)(19, 63)(20, 64)(21, 65)(22, 75)(23, 87)(24, 86)(25, 80)(26, 85)(27, 79)(28, 76)(29, 77)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.159
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.165 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3 * Y2^-1, (Y1, Y3^-1), Y3 * Y2 * Y1^2, Y1 * Y2 * Y1 * Y3, Y1^-2 * Y3^-1 * Y2^-1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y1^3 * Y3^-5, Y1^18 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 18, 47, 25, 54, 28, 57, 24, 53, 15, 44, 14, 43, 3, 32, 9, 38, 7, 36, 12, 41, 19, 48, 26, 55, 29, 58, 21, 50, 16, 45, 4, 33, 10, 39, 6, 35, 11, 40, 17, 46, 20, 49, 27, 56, 23, 52, 22, 51, 13, 42, 5, 34)(59, 88, 61, 90, 62, 91, 71, 100, 73, 102, 79, 108, 81, 110, 86, 115, 84, 113, 78, 107, 76, 105, 70, 99, 69, 98, 60, 89, 67, 96, 68, 97, 63, 92, 72, 101, 74, 103, 80, 109, 82, 111, 87, 116, 85, 114, 83, 112, 77, 106, 75, 104, 66, 95, 65, 94, 64, 93)
	L = (1, 62)(2, 68)(3, 71)(4, 73)(5, 74)(6, 61)(7, 59)(8, 64)(9, 63)(10, 72)(11, 67)(12, 60)(13, 79)(14, 80)(15, 81)(16, 82)(17, 65)(18, 69)(19, 66)(20, 70)(21, 86)(22, 87)(23, 84)(24, 85)(25, 75)(26, 76)(27, 77)(28, 78)(29, 83)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.122
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.166 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1 * Y2, Y1^2 * Y3^-1 * Y2^-1, Y3 * Y1^-1 * Y2 * Y1^-1, (Y2, Y1^-1), (R * Y1)^2, Y3^-1 * Y2^-1 * Y1^2, (R * Y2)^2, (R * Y3)^2, Y3^2 * Y1 * Y3^-2 * Y1^-1, Y3^-2 * Y1^-2 * Y3^-3 * Y1^-1, Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1, (Y3^-1 * Y1^-1)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 18, 47, 21, 50, 28, 57, 24, 53, 17, 46, 15, 44, 6, 35, 11, 40, 4, 33, 10, 39, 19, 48, 26, 55, 29, 58, 23, 52, 16, 45, 7, 36, 12, 41, 3, 32, 9, 38, 13, 42, 20, 49, 27, 56, 25, 54, 22, 51, 14, 43, 5, 34)(59, 88, 61, 90, 62, 91, 66, 95, 71, 100, 77, 106, 79, 108, 85, 114, 87, 116, 82, 111, 80, 109, 74, 103, 73, 102, 63, 92, 70, 99, 69, 98, 60, 89, 67, 96, 68, 97, 76, 105, 78, 107, 84, 113, 86, 115, 83, 112, 81, 110, 75, 104, 72, 101, 65, 94, 64, 93)
	L = (1, 62)(2, 68)(3, 66)(4, 71)(5, 69)(6, 61)(7, 59)(8, 77)(9, 76)(10, 78)(11, 67)(12, 60)(13, 79)(14, 64)(15, 70)(16, 63)(17, 65)(18, 84)(19, 85)(20, 86)(21, 87)(22, 73)(23, 72)(24, 74)(25, 75)(26, 83)(27, 82)(28, 81)(29, 80)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.161
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.167 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-2, Y2^-2 * Y3, (R * Y2)^2, (R * Y1)^2, Y1 * Y2 * Y1 * Y3^-1, (R * Y3)^2, Y3^3 * Y1 * Y3^4, (Y3^-1 * Y1^-1)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 3, 32, 8, 37, 4, 33, 9, 38, 11, 40, 16, 45, 12, 41, 17, 46, 19, 48, 24, 53, 20, 49, 25, 54, 27, 56, 29, 58, 28, 57, 23, 52, 26, 55, 22, 51, 21, 50, 15, 44, 18, 47, 14, 43, 13, 42, 7, 36, 10, 39, 6, 35, 5, 34)(59, 88, 61, 90, 62, 91, 69, 98, 70, 99, 77, 106, 78, 107, 85, 114, 86, 115, 84, 113, 79, 108, 76, 105, 71, 100, 68, 97, 63, 92, 60, 89, 66, 95, 67, 96, 74, 103, 75, 104, 82, 111, 83, 112, 87, 116, 81, 110, 80, 109, 73, 102, 72, 101, 65, 94, 64, 93)
	L = (1, 62)(2, 67)(3, 69)(4, 70)(5, 66)(6, 61)(7, 59)(8, 74)(9, 75)(10, 60)(11, 77)(12, 78)(13, 63)(14, 64)(15, 65)(16, 82)(17, 83)(18, 68)(19, 85)(20, 86)(21, 71)(22, 72)(23, 73)(24, 87)(25, 81)(26, 76)(27, 84)(28, 79)(29, 80)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.163
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.168 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1 * Y3, Y3 * Y2^2, Y1^-1 * Y2^-1 * Y3 * Y2^-1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y1^4 * Y2^-1 * Y1^3, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 16, 45, 24, 53, 20, 49, 12, 41, 3, 32, 9, 38, 17, 46, 25, 54, 29, 58, 23, 52, 15, 44, 7, 36, 4, 33, 10, 39, 18, 47, 26, 55, 28, 57, 21, 50, 13, 42, 6, 35, 11, 40, 19, 48, 27, 56, 22, 51, 14, 43, 5, 34)(59, 88, 61, 90, 65, 94, 71, 100, 63, 92, 70, 99, 73, 102, 79, 108, 72, 101, 78, 107, 81, 110, 86, 115, 80, 109, 82, 111, 87, 116, 84, 113, 85, 114, 74, 103, 83, 112, 76, 105, 77, 106, 66, 95, 75, 104, 68, 97, 69, 98, 60, 89, 67, 96, 62, 91, 64, 93)
	L = (1, 62)(2, 68)(3, 64)(4, 60)(5, 65)(6, 67)(7, 59)(8, 76)(9, 69)(10, 66)(11, 75)(12, 71)(13, 61)(14, 73)(15, 63)(16, 84)(17, 77)(18, 74)(19, 83)(20, 79)(21, 70)(22, 81)(23, 72)(24, 86)(25, 85)(26, 82)(27, 87)(28, 78)(29, 80)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.258
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.169 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3 * Y2, (Y3^-1, Y1), Y3 * Y1^-1 * Y2^-1 * Y3, (R * Y3)^2, (R * Y1)^2, Y3^2 * Y2^-1 * Y1^-1, (R * Y2)^2, Y2 * Y1^-2 * Y2 * Y3 * Y1^2, Y1^-2 * Y3^-2 * Y1^-3, Y2^-1 * Y1^-1 * Y3^-10 * Y1^-1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y3^-1 * Y1^-1 * Y2 * Y1, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^2 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 18, 47, 26, 55, 16, 45, 6, 35, 11, 40, 21, 50, 28, 57, 24, 53, 14, 43, 4, 33, 10, 39, 20, 49, 27, 56, 17, 46, 7, 36, 12, 41, 22, 51, 29, 58, 23, 52, 13, 42, 3, 32, 9, 38, 19, 48, 25, 54, 15, 44, 5, 34)(59, 88, 61, 90, 65, 94, 72, 101, 74, 103, 63, 92, 71, 100, 75, 104, 82, 111, 84, 113, 73, 102, 81, 110, 85, 114, 86, 115, 76, 105, 83, 112, 87, 116, 78, 107, 79, 108, 66, 95, 77, 106, 80, 109, 68, 97, 69, 98, 60, 89, 67, 96, 70, 99, 62, 91, 64, 93)
	L = (1, 62)(2, 68)(3, 64)(4, 67)(5, 72)(6, 70)(7, 59)(8, 78)(9, 69)(10, 77)(11, 80)(12, 60)(13, 74)(14, 61)(15, 82)(16, 65)(17, 63)(18, 85)(19, 79)(20, 83)(21, 87)(22, 66)(23, 84)(24, 71)(25, 86)(26, 75)(27, 73)(28, 81)(29, 76)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.214
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.170 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^2, (Y1^-1, Y3), Y1^-1 * Y3^-3, (R * Y1)^2, (Y2^-1, Y1^-1), (R * Y2)^2, (R * Y3)^2, Y1 * Y2^-1 * Y1^4, Y2 * Y1^-2 * Y3^-1 * Y1 * Y2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 20, 49, 13, 42, 3, 32, 9, 38, 21, 50, 26, 55, 15, 44, 7, 36, 12, 41, 24, 53, 28, 57, 17, 46, 14, 43, 25, 54, 27, 56, 16, 45, 4, 33, 10, 39, 22, 51, 29, 58, 19, 48, 6, 35, 11, 40, 23, 52, 18, 47, 5, 34)(59, 88, 61, 90, 65, 94, 72, 101, 68, 97, 69, 98, 60, 89, 67, 96, 70, 99, 83, 112, 80, 109, 81, 110, 66, 95, 79, 108, 82, 111, 85, 114, 87, 116, 76, 105, 78, 107, 84, 113, 86, 115, 74, 103, 77, 106, 63, 92, 71, 100, 73, 102, 75, 104, 62, 91, 64, 93)
	L = (1, 62)(2, 68)(3, 64)(4, 73)(5, 74)(6, 75)(7, 59)(8, 80)(9, 69)(10, 65)(11, 72)(12, 60)(13, 77)(14, 61)(15, 63)(16, 84)(17, 71)(18, 85)(19, 86)(20, 87)(21, 81)(22, 70)(23, 83)(24, 66)(25, 67)(26, 76)(27, 79)(28, 78)(29, 82)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.138
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.171 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3, (Y2, Y1^-1), Y3^-3 * Y1, (Y1^-1, Y2), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2^-1 * Y1^-5, Y3 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y1^-2, Y1^2 * Y3^2 * Y1^2 * Y2^-1, (Y3^-1 * Y1^-1)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 20, 49, 18, 47, 6, 35, 11, 40, 23, 52, 28, 57, 15, 44, 4, 33, 10, 39, 22, 51, 27, 56, 14, 43, 16, 45, 25, 54, 29, 58, 19, 48, 7, 36, 12, 41, 24, 53, 26, 55, 13, 42, 3, 32, 9, 38, 21, 50, 17, 46, 5, 34)(59, 88, 61, 90, 65, 94, 72, 101, 73, 102, 76, 105, 63, 92, 71, 100, 77, 106, 85, 114, 86, 115, 78, 107, 75, 104, 84, 113, 87, 116, 80, 109, 81, 110, 66, 95, 79, 108, 82, 111, 83, 112, 68, 97, 69, 98, 60, 89, 67, 96, 70, 99, 74, 103, 62, 91, 64, 93)
	L = (1, 62)(2, 68)(3, 64)(4, 70)(5, 73)(6, 74)(7, 59)(8, 80)(9, 69)(10, 82)(11, 83)(12, 60)(13, 76)(14, 61)(15, 65)(16, 67)(17, 86)(18, 72)(19, 63)(20, 85)(21, 81)(22, 84)(23, 87)(24, 66)(25, 79)(26, 78)(27, 71)(28, 77)(29, 75)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.191
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.172 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3 * Y2, Y3 * Y2^2, (Y2^-1, Y1^-1), (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y1), (R * Y1)^2, Y3^3 * Y1 * Y2^-1, Y1 * Y2 * Y1^3, Y1 * Y3 * Y1 * Y2^-1 * Y1^-1 * Y3^2, Y1^-2 * Y2 * Y3^-1 * Y1 * Y3^-2, Y1^2 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3^2, Y2 * Y1^2 * Y3^-1 * Y2 * Y1^2 * Y3^-1 * Y2 * Y1^2 * Y3^-1 * Y2 * Y1^2 * Y3^-1 * Y2 * Y1^2 * Y3^-1 * Y2 * Y1^2 * Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 19, 48, 6, 35, 11, 40, 23, 52, 16, 45, 4, 33, 10, 39, 22, 51, 28, 57, 17, 46, 21, 50, 26, 55, 27, 56, 15, 44, 14, 43, 25, 54, 29, 58, 20, 49, 7, 36, 12, 41, 24, 53, 13, 42, 3, 32, 9, 38, 18, 47, 5, 34)(59, 88, 61, 90, 65, 94, 72, 101, 79, 108, 68, 97, 69, 98, 60, 89, 67, 96, 70, 99, 83, 112, 84, 113, 80, 109, 81, 110, 66, 95, 76, 105, 82, 111, 87, 116, 85, 114, 86, 115, 74, 103, 77, 106, 63, 92, 71, 100, 78, 107, 73, 102, 75, 104, 62, 91, 64, 93)
	L = (1, 62)(2, 68)(3, 64)(4, 73)(5, 74)(6, 75)(7, 59)(8, 80)(9, 69)(10, 72)(11, 79)(12, 60)(13, 77)(14, 61)(15, 71)(16, 85)(17, 78)(18, 81)(19, 86)(20, 63)(21, 65)(22, 83)(23, 84)(24, 66)(25, 67)(26, 70)(27, 82)(28, 87)(29, 76)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.252
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.173 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^-2, (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y1), (Y2^-1, Y1^-1), (R * Y1)^2, Y3^-1 * Y1 * Y3^-2 * Y2, Y2 * Y1^-4, Y1^-1 * Y2^-1 * Y1^-1 * Y3 * Y1 * Y3^2, Y3^2 * Y1 * Y3^2 * Y1^2, Y1^2 * Y2^-1 * Y1 * Y3 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3^-1, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3 * Y1 * Y3 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 13, 42, 3, 32, 9, 38, 22, 51, 20, 49, 7, 36, 12, 41, 24, 53, 27, 56, 14, 43, 15, 44, 25, 54, 29, 58, 21, 50, 17, 46, 26, 55, 28, 57, 16, 45, 4, 33, 10, 39, 23, 52, 19, 48, 6, 35, 11, 40, 18, 47, 5, 34)(59, 88, 61, 90, 65, 94, 72, 101, 79, 108, 74, 103, 77, 106, 63, 92, 71, 100, 78, 107, 85, 114, 87, 116, 86, 115, 81, 110, 76, 105, 66, 95, 80, 109, 82, 111, 83, 112, 84, 113, 68, 97, 69, 98, 60, 89, 67, 96, 70, 99, 73, 102, 75, 104, 62, 91, 64, 93)
	L = (1, 62)(2, 68)(3, 64)(4, 73)(5, 74)(6, 75)(7, 59)(8, 81)(9, 69)(10, 83)(11, 84)(12, 60)(13, 77)(14, 61)(15, 67)(16, 72)(17, 70)(18, 86)(19, 79)(20, 63)(21, 65)(22, 76)(23, 87)(24, 66)(25, 80)(26, 82)(27, 71)(28, 85)(29, 78)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.212
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.174 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^2, (Y1, Y3), (Y2^-1, Y1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3, Y1), Y3^-2 * Y1^-1 * Y3^-2, Y2^-1 * Y1^4 * Y3, Y1 * Y2 * Y1^2 * Y3^-2, Y2 * Y3^-2 * Y2 * Y1^-1 * Y3^-1, Y3 * Y1^-1 * Y3 * Y2^-1 * Y1^-2, Y1^-2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 22, 51, 14, 43, 27, 56, 16, 45, 4, 33, 10, 39, 24, 53, 13, 42, 3, 32, 9, 38, 23, 52, 15, 44, 21, 50, 29, 58, 19, 48, 6, 35, 11, 40, 25, 54, 20, 49, 7, 36, 12, 41, 26, 55, 17, 46, 28, 57, 18, 47, 5, 34)(59, 88, 61, 90, 65, 94, 72, 101, 79, 108, 86, 115, 68, 97, 69, 98, 60, 89, 67, 96, 70, 99, 85, 114, 87, 116, 76, 105, 82, 111, 83, 112, 66, 95, 81, 110, 84, 113, 74, 103, 77, 106, 63, 92, 71, 100, 78, 107, 80, 109, 73, 102, 75, 104, 62, 91, 64, 93)
	L = (1, 62)(2, 68)(3, 64)(4, 73)(5, 74)(6, 75)(7, 59)(8, 82)(9, 69)(10, 79)(11, 86)(12, 60)(13, 77)(14, 61)(15, 78)(16, 81)(17, 80)(18, 85)(19, 84)(20, 63)(21, 65)(22, 71)(23, 83)(24, 87)(25, 76)(26, 66)(27, 67)(28, 72)(29, 70)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.238
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.175 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^2, (Y1, Y3^-1), (Y1^-1, Y3^-1), (R * Y2)^2, (Y2^-1, Y1), (R * Y1)^2, (Y3^-1, Y1), (R * Y3)^2, Y3^-1 * Y1 * Y3^-3, Y2^-1 * Y3 * Y1^-4, Y2^-1 * Y3 * Y1^-1 * Y2^-1 * Y3^2, Y1^-3 * Y2 * Y3^-2, Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y1^-1 * Y2^-1 * Y1^-2, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 22, 51, 17, 46, 29, 58, 20, 49, 7, 36, 12, 41, 26, 55, 19, 48, 6, 35, 11, 40, 25, 54, 21, 50, 15, 44, 28, 57, 13, 42, 3, 32, 9, 38, 23, 52, 16, 45, 4, 33, 10, 39, 24, 53, 14, 43, 27, 56, 18, 47, 5, 34)(59, 88, 61, 90, 65, 94, 72, 101, 79, 108, 80, 109, 74, 103, 77, 106, 63, 92, 71, 100, 78, 107, 82, 111, 83, 112, 66, 95, 81, 110, 84, 113, 76, 105, 86, 115, 87, 116, 68, 97, 69, 98, 60, 89, 67, 96, 70, 99, 85, 114, 73, 102, 75, 104, 62, 91, 64, 93)
	L = (1, 62)(2, 68)(3, 64)(4, 73)(5, 74)(6, 75)(7, 59)(8, 82)(9, 69)(10, 86)(11, 87)(12, 60)(13, 77)(14, 61)(15, 70)(16, 79)(17, 85)(18, 81)(19, 80)(20, 63)(21, 65)(22, 72)(23, 83)(24, 71)(25, 78)(26, 66)(27, 67)(28, 84)(29, 76)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.223
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.176 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3^-1, Y2 * Y3 * Y2, (Y1, Y3), (R * Y2)^2, (R * Y3)^2, Y3^-1 * Y1^3, (R * Y1)^2, (Y2^-1, Y1), Y2 * Y1 * Y2 * Y1^2, Y1^-1 * Y2 * Y3^-4, (Y3 * Y2^-1)^29, (Y1^-1 * Y3^-1)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 4, 33, 10, 39, 20, 49, 15, 44, 23, 52, 28, 57, 26, 55, 14, 43, 22, 51, 13, 42, 3, 32, 9, 38, 17, 46, 6, 35, 11, 40, 21, 50, 16, 45, 24, 53, 29, 58, 27, 56, 19, 48, 25, 54, 18, 47, 7, 36, 12, 41, 5, 34)(59, 88, 61, 90, 65, 94, 72, 101, 77, 106, 81, 110, 82, 111, 68, 97, 69, 98, 60, 89, 67, 96, 70, 99, 80, 109, 83, 112, 86, 115, 87, 116, 78, 107, 79, 108, 66, 95, 75, 104, 63, 92, 71, 100, 76, 105, 84, 113, 85, 114, 73, 102, 74, 103, 62, 91, 64, 93)
	L = (1, 62)(2, 68)(3, 64)(4, 73)(5, 66)(6, 74)(7, 59)(8, 78)(9, 69)(10, 81)(11, 82)(12, 60)(13, 75)(14, 61)(15, 84)(16, 85)(17, 79)(18, 63)(19, 65)(20, 86)(21, 87)(22, 67)(23, 72)(24, 77)(25, 70)(26, 71)(27, 76)(28, 80)(29, 83)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.182
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.177 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3^-1, Y3^-1 * Y1^-3, (Y3^-1, Y1^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y1), Y1^-1 * Y2 * Y1^-2 * Y2, Y1^-1 * Y3^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y3^-4 * Y1 * Y2, Y3^-2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 7, 36, 12, 41, 21, 50, 19, 48, 25, 54, 29, 58, 27, 56, 17, 46, 24, 53, 18, 47, 6, 35, 11, 40, 13, 42, 3, 32, 9, 38, 20, 49, 14, 43, 22, 51, 28, 57, 26, 55, 15, 44, 23, 52, 16, 45, 4, 33, 10, 39, 5, 34)(59, 88, 61, 90, 65, 94, 72, 101, 77, 106, 84, 113, 85, 114, 74, 103, 76, 105, 63, 92, 71, 100, 66, 95, 78, 107, 79, 108, 86, 115, 87, 116, 81, 110, 82, 111, 68, 97, 69, 98, 60, 89, 67, 96, 70, 99, 80, 109, 83, 112, 73, 102, 75, 104, 62, 91, 64, 93)
	L = (1, 62)(2, 68)(3, 64)(4, 73)(5, 74)(6, 75)(7, 59)(8, 63)(9, 69)(10, 81)(11, 82)(12, 60)(13, 76)(14, 61)(15, 80)(16, 84)(17, 83)(18, 85)(19, 65)(20, 71)(21, 66)(22, 67)(23, 86)(24, 87)(25, 70)(26, 72)(27, 77)(28, 78)(29, 79)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.219
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.178 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^-2, Y1 * Y2^-1 * Y1^2, (Y2^-1, Y1^-1), (Y1^-1, Y3), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y1^2 * Y2 * Y1, Y1 * Y3^-1 * Y1^2 * Y3 * Y2^-1, Y3^-1 * Y1^-1 * Y3^-4, (Y3 * Y2^-1)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 3, 32, 9, 38, 18, 47, 7, 36, 12, 41, 20, 49, 13, 42, 21, 50, 26, 55, 19, 48, 24, 53, 28, 57, 25, 54, 27, 56, 14, 43, 22, 51, 29, 58, 16, 45, 23, 52, 15, 44, 4, 33, 10, 39, 17, 46, 6, 35, 11, 40, 5, 34)(59, 88, 61, 90, 65, 94, 71, 100, 77, 106, 83, 112, 80, 109, 81, 110, 68, 97, 69, 98, 60, 89, 67, 96, 70, 99, 79, 108, 82, 111, 85, 114, 87, 116, 73, 102, 75, 104, 63, 92, 66, 95, 76, 105, 78, 107, 84, 113, 86, 115, 72, 101, 74, 103, 62, 91, 64, 93)
	L = (1, 62)(2, 68)(3, 64)(4, 72)(5, 73)(6, 74)(7, 59)(8, 75)(9, 69)(10, 80)(11, 81)(12, 60)(13, 61)(14, 84)(15, 85)(16, 86)(17, 87)(18, 63)(19, 65)(20, 66)(21, 67)(22, 77)(23, 83)(24, 70)(25, 71)(26, 76)(27, 79)(28, 78)(29, 82)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.266
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.179 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^-2, (Y1^-1, Y3^-1), Y2^-1 * Y1^-3, (R * Y1)^2, (R * Y3)^2, (Y1, Y3^-1), (R * Y2)^2, Y3^-1 * Y1^2 * Y2^-1 * Y1, Y3^5 * Y1^-1, Y1^-2 * Y3^-2 * Y2 * Y3^-2, (Y1^-1 * Y3^-1)^29, (Y3 * Y2^-1)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 6, 35, 11, 40, 16, 45, 4, 33, 10, 39, 20, 49, 17, 46, 23, 52, 27, 56, 15, 44, 22, 51, 26, 55, 28, 57, 29, 58, 19, 48, 24, 53, 25, 54, 14, 43, 21, 50, 18, 47, 7, 36, 12, 41, 13, 42, 3, 32, 9, 38, 5, 34)(59, 88, 61, 90, 65, 94, 72, 101, 77, 106, 84, 113, 85, 114, 78, 107, 74, 103, 66, 95, 63, 92, 71, 100, 76, 105, 83, 112, 87, 116, 80, 109, 81, 110, 68, 97, 69, 98, 60, 89, 67, 96, 70, 99, 79, 108, 82, 111, 86, 115, 73, 102, 75, 104, 62, 91, 64, 93)
	L = (1, 62)(2, 68)(3, 64)(4, 73)(5, 74)(6, 75)(7, 59)(8, 78)(9, 69)(10, 80)(11, 81)(12, 60)(13, 66)(14, 61)(15, 82)(16, 85)(17, 86)(18, 63)(19, 65)(20, 84)(21, 67)(22, 83)(23, 87)(24, 70)(25, 71)(26, 72)(27, 77)(28, 79)(29, 76)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.240
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.180 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^2, (Y1, Y3^-1), (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y1^-1, Y3^-1), Y3^-2 * Y1^-3, Y2 * Y1^-1 * Y3^-1 * Y2 * Y1^-2, Y1^-1 * Y3^3 * Y2^-1 * Y1^-1, Y3^-1 * Y1 * Y3^-2 * Y2 * Y1, Y1^-2 * Y3^-3 * Y1^-1 * Y3, Y3^-5 * Y1^-1 * Y2, (Y3 * Y2^-1)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 21, 50, 27, 56, 17, 46, 26, 55, 13, 42, 3, 32, 9, 38, 22, 51, 28, 57, 16, 45, 4, 33, 10, 39, 20, 49, 7, 36, 12, 41, 24, 53, 29, 58, 19, 48, 6, 35, 11, 40, 23, 52, 14, 43, 25, 54, 15, 44, 18, 47, 5, 34)(59, 88, 61, 90, 65, 94, 72, 101, 79, 108, 86, 115, 87, 116, 76, 105, 84, 113, 68, 97, 69, 98, 60, 89, 67, 96, 70, 99, 83, 112, 85, 114, 74, 103, 77, 106, 63, 92, 71, 100, 78, 107, 81, 110, 66, 95, 80, 109, 82, 111, 73, 102, 75, 104, 62, 91, 64, 93)
	L = (1, 62)(2, 68)(3, 64)(4, 73)(5, 74)(6, 75)(7, 59)(8, 78)(9, 69)(10, 76)(11, 84)(12, 60)(13, 77)(14, 61)(15, 80)(16, 83)(17, 82)(18, 86)(19, 85)(20, 63)(21, 65)(22, 81)(23, 71)(24, 66)(25, 67)(26, 87)(27, 70)(28, 72)(29, 79)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.196
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.181 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3^-1, (R * Y3)^2, (R * Y2)^2, (Y2^-1, Y1), (Y3^-1, Y1), (R * Y1)^2, Y3^2 * Y1^-3, Y3 * Y1^-1 * Y2 * Y3^-1 * Y1 * Y2^-1, Y3^2 * Y1 * Y3 * Y1 * Y2^-1, Y3^-3 * Y1 * Y2 * Y3^-2, Y3^18 * Y1^2, Y1^2 * Y3^18, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-2 * Y2, (Y3 * Y2^-1)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 15, 44, 26, 55, 14, 43, 25, 54, 19, 48, 6, 35, 11, 40, 24, 53, 29, 58, 20, 49, 7, 36, 12, 41, 16, 45, 4, 33, 10, 39, 23, 52, 28, 57, 13, 42, 3, 32, 9, 38, 22, 51, 17, 46, 27, 56, 21, 50, 18, 47, 5, 34)(59, 88, 61, 90, 65, 94, 72, 101, 79, 108, 81, 110, 82, 111, 66, 95, 80, 109, 74, 103, 77, 106, 63, 92, 71, 100, 78, 107, 84, 113, 85, 114, 68, 97, 69, 98, 60, 89, 67, 96, 70, 99, 83, 112, 76, 105, 86, 115, 87, 116, 73, 102, 75, 104, 62, 91, 64, 93)
	L = (1, 62)(2, 68)(3, 64)(4, 73)(5, 74)(6, 75)(7, 59)(8, 81)(9, 69)(10, 84)(11, 85)(12, 60)(13, 77)(14, 61)(15, 86)(16, 66)(17, 87)(18, 70)(19, 80)(20, 63)(21, 65)(22, 82)(23, 72)(24, 79)(25, 67)(26, 71)(27, 78)(28, 83)(29, 76)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.254
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.182 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^-2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y1^-1, Y2), (Y3^-1, Y1), Y2^-1 * Y3^2 * Y1^-2, Y1^-1 * Y3^-1 * Y1^-4, Y3^-8 * Y1 * Y2, Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 22, 51, 20, 49, 7, 36, 12, 41, 17, 46, 26, 55, 29, 58, 21, 50, 19, 48, 6, 35, 11, 40, 24, 53, 27, 56, 13, 42, 3, 32, 9, 38, 15, 44, 25, 54, 28, 57, 14, 43, 16, 45, 4, 33, 10, 39, 23, 52, 18, 47, 5, 34)(59, 88, 61, 90, 65, 94, 72, 101, 79, 108, 76, 105, 85, 114, 80, 109, 83, 112, 84, 113, 68, 97, 69, 98, 60, 89, 67, 96, 70, 99, 74, 103, 77, 106, 63, 92, 71, 100, 78, 107, 86, 115, 87, 116, 81, 110, 82, 111, 66, 95, 73, 102, 75, 104, 62, 91, 64, 93)
	L = (1, 62)(2, 68)(3, 64)(4, 73)(5, 74)(6, 75)(7, 59)(8, 81)(9, 69)(10, 83)(11, 84)(12, 60)(13, 77)(14, 61)(15, 82)(16, 67)(17, 66)(18, 72)(19, 70)(20, 63)(21, 65)(22, 76)(23, 86)(24, 87)(25, 85)(26, 80)(27, 79)(28, 71)(29, 78)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.176
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.183 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3^-1, (Y2^-1, Y1^-1), (R * Y2)^2, (Y3^-1, Y1), (R * Y3)^2, (R * Y1)^2, Y1^2 * Y3 * Y2^-1 * Y3, Y3^-2 * Y1^-1 * Y2 * Y1^-1, Y1^-2 * Y3 * Y1^-3, Y1^-1 * Y3^6 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 22, 51, 16, 45, 4, 33, 10, 39, 14, 43, 25, 54, 28, 57, 15, 44, 13, 42, 3, 32, 9, 38, 23, 52, 27, 56, 19, 48, 6, 35, 11, 40, 21, 50, 26, 55, 29, 58, 17, 46, 20, 49, 7, 36, 12, 41, 24, 53, 18, 47, 5, 34)(59, 88, 61, 90, 65, 94, 72, 101, 79, 108, 66, 95, 81, 110, 82, 111, 86, 115, 87, 116, 74, 103, 77, 106, 63, 92, 71, 100, 78, 107, 68, 97, 69, 98, 60, 89, 67, 96, 70, 99, 83, 112, 84, 113, 80, 109, 85, 114, 76, 105, 73, 102, 75, 104, 62, 91, 64, 93)
	L = (1, 62)(2, 68)(3, 64)(4, 73)(5, 74)(6, 75)(7, 59)(8, 72)(9, 69)(10, 71)(11, 78)(12, 60)(13, 77)(14, 61)(15, 85)(16, 86)(17, 76)(18, 80)(19, 87)(20, 63)(21, 65)(22, 83)(23, 79)(24, 66)(25, 67)(26, 70)(27, 84)(28, 81)(29, 82)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.128
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.184 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-1 * Y2^-1, Y3^-1 * Y1 * Y2 * Y1, Y1^-1 * Y3 * Y2^-1 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3, Y1), Y3^-3 * Y1^-2 * Y3^-2 * Y1^-1, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1, (Y1^-1 * Y3^-1)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 18, 47, 23, 52, 28, 57, 24, 53, 17, 46, 13, 42, 3, 32, 9, 38, 4, 33, 10, 39, 19, 48, 26, 55, 29, 58, 22, 51, 16, 45, 7, 36, 12, 41, 6, 35, 11, 40, 15, 44, 20, 49, 27, 56, 25, 54, 21, 50, 14, 43, 5, 34)(59, 88, 61, 90, 65, 94, 72, 101, 75, 104, 80, 109, 83, 112, 86, 115, 84, 113, 78, 107, 76, 105, 68, 97, 69, 98, 60, 89, 67, 96, 70, 99, 63, 92, 71, 100, 74, 103, 79, 108, 82, 111, 87, 116, 85, 114, 81, 110, 77, 106, 73, 102, 66, 95, 62, 91, 64, 93)
	L = (1, 62)(2, 68)(3, 64)(4, 73)(5, 67)(6, 66)(7, 59)(8, 77)(9, 69)(10, 78)(11, 76)(12, 60)(13, 70)(14, 61)(15, 81)(16, 63)(17, 65)(18, 84)(19, 85)(20, 86)(21, 71)(22, 72)(23, 87)(24, 74)(25, 75)(26, 83)(27, 82)(28, 80)(29, 79)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.272
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.185 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^2, Y3 * Y2^2, (R * Y2)^2, Y1 * Y3^-1 * Y1 * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y1 * Y3^7, (Y3^-1 * Y1^-1)^29, (Y3 * Y2^-1)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 6, 35, 9, 38, 4, 33, 8, 37, 13, 42, 17, 46, 12, 41, 16, 45, 21, 50, 25, 54, 20, 49, 24, 53, 29, 58, 27, 56, 28, 57, 23, 52, 26, 55, 19, 48, 22, 51, 15, 44, 18, 47, 11, 40, 14, 43, 7, 36, 10, 39, 3, 32, 5, 34)(59, 88, 61, 90, 65, 94, 69, 98, 73, 102, 77, 106, 81, 110, 85, 114, 82, 111, 83, 112, 74, 103, 75, 104, 66, 95, 67, 96, 60, 89, 63, 92, 68, 97, 72, 101, 76, 105, 80, 109, 84, 113, 86, 115, 87, 116, 78, 107, 79, 108, 70, 99, 71, 100, 62, 91, 64, 93)
	L = (1, 62)(2, 66)(3, 64)(4, 70)(5, 67)(6, 71)(7, 59)(8, 74)(9, 75)(10, 60)(11, 61)(12, 78)(13, 79)(14, 63)(15, 65)(16, 82)(17, 83)(18, 68)(19, 69)(20, 86)(21, 87)(22, 72)(23, 73)(24, 81)(25, 85)(26, 76)(27, 77)(28, 80)(29, 84)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.249
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.186 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-2, Y3 * Y2^2, Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3 * Y1^-1 * Y3^-3 * Y1 * Y3^2, Y1 * Y3^-7, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 3, 32, 8, 37, 7, 36, 10, 39, 11, 40, 16, 45, 15, 44, 18, 47, 19, 48, 24, 53, 23, 52, 26, 55, 27, 56, 29, 58, 28, 57, 20, 49, 25, 54, 22, 51, 21, 50, 12, 41, 17, 46, 14, 43, 13, 42, 4, 33, 9, 38, 6, 35, 5, 34)(59, 88, 61, 90, 65, 94, 69, 98, 73, 102, 77, 106, 81, 110, 85, 114, 86, 115, 83, 112, 79, 108, 75, 104, 71, 100, 67, 96, 63, 92, 60, 89, 66, 95, 68, 97, 74, 103, 76, 105, 82, 111, 84, 113, 87, 116, 78, 107, 80, 109, 70, 99, 72, 101, 62, 91, 64, 93)
	L = (1, 62)(2, 67)(3, 64)(4, 70)(5, 71)(6, 72)(7, 59)(8, 63)(9, 75)(10, 60)(11, 61)(12, 78)(13, 79)(14, 80)(15, 65)(16, 66)(17, 83)(18, 68)(19, 69)(20, 84)(21, 86)(22, 87)(23, 73)(24, 74)(25, 85)(26, 76)(27, 77)(28, 81)(29, 82)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.237
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.187 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-1 * Y2^-1, Y1^-1 * Y3 * Y2, Y2^-3 * Y3, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y1 * Y2 * Y3^-1 * Y1^-1 * Y3^-1 * Y2 * Y1, Y1^-4 * Y2^-1 * Y1^-3, Y1 * Y3^7 * Y1, (Y3^-1 * Y1^-1)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 18, 47, 26, 55, 23, 52, 15, 44, 6, 35, 4, 33, 10, 39, 20, 49, 28, 57, 25, 54, 17, 46, 12, 41, 11, 40, 13, 42, 21, 50, 29, 58, 24, 53, 16, 45, 7, 36, 3, 32, 9, 38, 19, 48, 27, 56, 22, 51, 14, 43, 5, 34)(59, 88, 61, 90, 69, 98, 62, 91, 60, 89, 67, 96, 71, 100, 68, 97, 66, 95, 77, 106, 79, 108, 78, 107, 76, 105, 85, 114, 87, 116, 86, 115, 84, 113, 80, 109, 82, 111, 83, 112, 81, 110, 72, 101, 74, 103, 75, 104, 73, 102, 63, 92, 65, 94, 70, 99, 64, 93)
	L = (1, 62)(2, 68)(3, 60)(4, 71)(5, 64)(6, 69)(7, 59)(8, 78)(9, 66)(10, 79)(11, 67)(12, 61)(13, 77)(14, 73)(15, 70)(16, 63)(17, 65)(18, 86)(19, 76)(20, 87)(21, 85)(22, 81)(23, 75)(24, 72)(25, 74)(26, 83)(27, 84)(28, 82)(29, 80)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.198
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.188 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, (Y2, Y1^-1), Y2^-1 * Y1 * Y3^-1 * Y2^-1, Y3 * Y1^-1 * Y3 * Y2^-1, (R * Y1)^2, Y2 * Y3 * Y2 * Y1^-1, Y1 * Y2 * Y3^-2, (Y3, Y2^-1), (R * Y2)^2, Y3^2 * Y1^-1 * Y2^-1, (R * Y3)^2, Y1 * Y3 * Y1^-2 * Y3^-1 * Y1, Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1, Y3^-1 * Y1 * Y3^-1 * Y1^6, Y3^-8 * Y1^-1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^2 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 18, 47, 23, 52, 13, 42, 3, 32, 9, 38, 19, 48, 27, 56, 17, 46, 7, 36, 12, 41, 22, 51, 28, 57, 29, 58, 24, 53, 14, 43, 4, 33, 10, 39, 20, 49, 26, 55, 16, 45, 6, 35, 11, 40, 21, 50, 25, 54, 15, 44, 5, 34)(59, 88, 61, 90, 70, 99, 62, 91, 69, 98, 60, 89, 67, 96, 80, 109, 68, 97, 79, 108, 66, 95, 77, 106, 86, 115, 78, 107, 83, 112, 76, 105, 85, 114, 87, 116, 84, 113, 73, 102, 81, 110, 75, 104, 82, 111, 74, 103, 63, 92, 71, 100, 65, 94, 72, 101, 64, 93)
	L = (1, 62)(2, 68)(3, 69)(4, 67)(5, 72)(6, 70)(7, 59)(8, 78)(9, 79)(10, 77)(11, 80)(12, 60)(13, 64)(14, 61)(15, 82)(16, 65)(17, 63)(18, 84)(19, 83)(20, 85)(21, 86)(22, 66)(23, 74)(24, 71)(25, 87)(26, 75)(27, 73)(28, 76)(29, 81)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.220
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.189 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^2, (Y2, Y3^-1), Y3^-1 * Y2^3, (Y2, Y1^-1), (R * Y2)^2, (Y2, Y3^-1), (R * Y3)^2, (R * Y1)^2, Y2^2 * Y1^-1 * Y3^-1 * Y2 * Y1, Y1^5 * Y2^-1, (Y3^-1 * Y1^-1)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 20, 49, 14, 43, 3, 32, 9, 38, 21, 50, 29, 58, 19, 48, 12, 41, 24, 53, 28, 57, 18, 47, 7, 36, 4, 33, 10, 39, 22, 51, 26, 55, 15, 44, 13, 42, 25, 54, 27, 56, 17, 46, 6, 35, 11, 40, 23, 52, 16, 45, 5, 34)(59, 88, 61, 90, 70, 99, 62, 91, 71, 100, 69, 98, 60, 89, 67, 96, 82, 111, 68, 97, 83, 112, 81, 110, 66, 95, 79, 108, 86, 115, 80, 109, 85, 114, 74, 103, 78, 107, 87, 116, 76, 105, 84, 113, 75, 104, 63, 92, 72, 101, 77, 106, 65, 94, 73, 102, 64, 93)
	L = (1, 62)(2, 68)(3, 71)(4, 60)(5, 65)(6, 70)(7, 59)(8, 80)(9, 83)(10, 66)(11, 82)(12, 69)(13, 67)(14, 73)(15, 61)(16, 76)(17, 77)(18, 63)(19, 64)(20, 84)(21, 85)(22, 78)(23, 86)(24, 81)(25, 79)(26, 72)(27, 87)(28, 74)(29, 75)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.224
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.190 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-2, Y2 * Y3^-1 * Y2^2, Y2^-2 * Y3 * Y2^-1, Y2^3 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (Y1^-1, Y2), (R * Y2)^2, Y2^-1 * Y1^-1 * Y3 * Y2^-2 * Y1, Y2^-1 * Y1^-5 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 20, 49, 18, 47, 6, 35, 10, 39, 22, 51, 27, 56, 13, 42, 15, 44, 24, 53, 29, 58, 16, 45, 4, 33, 7, 36, 11, 40, 23, 52, 26, 55, 12, 41, 19, 48, 25, 54, 28, 57, 14, 43, 3, 32, 9, 38, 21, 50, 17, 46, 5, 34)(59, 88, 61, 90, 70, 99, 62, 91, 71, 100, 76, 105, 63, 92, 72, 101, 84, 113, 74, 103, 85, 114, 78, 107, 75, 104, 86, 115, 81, 110, 87, 116, 80, 109, 66, 95, 79, 108, 83, 112, 69, 98, 82, 111, 68, 97, 60, 89, 67, 96, 77, 106, 65, 94, 73, 102, 64, 93)
	L = (1, 62)(2, 65)(3, 71)(4, 63)(5, 74)(6, 70)(7, 59)(8, 69)(9, 73)(10, 77)(11, 60)(12, 76)(13, 72)(14, 85)(15, 61)(16, 75)(17, 87)(18, 84)(19, 64)(20, 81)(21, 82)(22, 83)(23, 66)(24, 67)(25, 68)(26, 78)(27, 86)(28, 80)(29, 79)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.135
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.191 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y1^-1), Y2^-2 * Y3 * Y2^-1, (Y2^-1, Y1^-1), Y3 * Y2 * Y1^-1 * Y3, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1 * Y2 * Y1^3, Y2 * Y1^-1 * Y2 * Y3^-1 * Y1 * Y2, Y3 * Y1 * Y3^4 * Y1, Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-1 * Y3^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 18, 47, 6, 35, 11, 40, 21, 50, 27, 56, 15, 44, 24, 53, 29, 58, 19, 48, 7, 36, 12, 41, 22, 51, 28, 57, 16, 45, 4, 33, 10, 39, 20, 49, 25, 54, 13, 42, 23, 52, 26, 55, 14, 43, 3, 32, 9, 38, 17, 46, 5, 34)(59, 88, 61, 90, 71, 100, 62, 91, 70, 99, 82, 111, 69, 98, 60, 89, 67, 96, 81, 110, 68, 97, 80, 109, 87, 116, 79, 108, 66, 95, 75, 104, 84, 113, 78, 107, 86, 115, 77, 106, 85, 114, 76, 105, 63, 92, 72, 101, 83, 112, 74, 103, 65, 94, 73, 102, 64, 93)
	L = (1, 62)(2, 68)(3, 70)(4, 69)(5, 74)(6, 71)(7, 59)(8, 78)(9, 80)(10, 79)(11, 81)(12, 60)(13, 82)(14, 65)(15, 61)(16, 64)(17, 86)(18, 83)(19, 63)(20, 85)(21, 84)(22, 66)(23, 87)(24, 67)(25, 73)(26, 77)(27, 72)(28, 76)(29, 75)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.171
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.192 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y2^-1), (Y1, Y2^-1), Y2 * Y3 * Y1 * Y3, Y2^-2 * Y3 * Y2^-1, (R * Y2)^2, Y2 * Y1 * Y3^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1^4, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^3, Y1 * Y2 * Y1 * Y2 * Y1^2 * Y3^-1, Y1 * Y3^2 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-3 * Y3^2 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 15, 44, 3, 32, 9, 38, 20, 49, 26, 55, 13, 42, 23, 52, 29, 58, 18, 47, 4, 33, 10, 39, 21, 50, 27, 56, 14, 43, 7, 36, 12, 41, 22, 51, 25, 54, 16, 45, 24, 53, 28, 57, 17, 46, 6, 35, 11, 40, 19, 48, 5, 34)(59, 88, 61, 90, 71, 100, 62, 91, 72, 101, 83, 112, 75, 104, 63, 92, 73, 102, 84, 113, 76, 105, 85, 114, 80, 109, 86, 115, 77, 106, 66, 95, 78, 107, 87, 116, 79, 108, 70, 99, 82, 111, 69, 98, 60, 89, 67, 96, 81, 110, 68, 97, 65, 94, 74, 103, 64, 93)
	L = (1, 62)(2, 68)(3, 72)(4, 75)(5, 76)(6, 71)(7, 59)(8, 79)(9, 65)(10, 64)(11, 81)(12, 60)(13, 83)(14, 63)(15, 85)(16, 61)(17, 84)(18, 86)(19, 87)(20, 70)(21, 69)(22, 66)(23, 74)(24, 67)(25, 73)(26, 80)(27, 77)(28, 78)(29, 82)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.265
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.193 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, (Y1, Y2), (Y1, Y3), Y2^2 * Y3^-1 * Y2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2^-1 * Y1 * Y3^-2 * Y2^-1, Y2 * Y1^-1 * Y3^2 * Y2, Y1 * Y3^-1 * Y1^3, Y1 * Y3 * Y1 * Y2 * Y1 * Y2, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 18, 47, 4, 33, 10, 39, 25, 54, 16, 45, 17, 46, 29, 58, 15, 44, 3, 32, 9, 38, 24, 53, 22, 51, 14, 43, 28, 57, 20, 49, 6, 35, 11, 40, 26, 55, 23, 52, 13, 42, 27, 56, 21, 50, 7, 36, 12, 41, 19, 48, 5, 34)(59, 88, 61, 90, 71, 100, 62, 91, 72, 101, 70, 99, 75, 104, 69, 98, 60, 89, 67, 96, 85, 114, 68, 97, 86, 115, 77, 106, 87, 116, 84, 113, 66, 95, 82, 111, 79, 108, 83, 112, 78, 107, 63, 92, 73, 102, 81, 110, 76, 105, 80, 109, 65, 94, 74, 103, 64, 93)
	L = (1, 62)(2, 68)(3, 72)(4, 75)(5, 76)(6, 71)(7, 59)(8, 83)(9, 86)(10, 87)(11, 85)(12, 60)(13, 70)(14, 69)(15, 80)(16, 61)(17, 67)(18, 74)(19, 66)(20, 81)(21, 63)(22, 64)(23, 65)(24, 78)(25, 73)(26, 79)(27, 77)(28, 84)(29, 82)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.241
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.194 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-3 * Y3, (Y3^-1, Y1), (R * Y3)^2, (Y2^-1, Y1), (R * Y1)^2, (R * Y2)^2, Y3 * Y1^4, Y3 * Y1 * Y2 * Y3 * Y2, Y3^3 * Y1 * Y2^-1, Y2^2 * Y1 * Y3^2, Y2 * Y1^-2 * Y2 * Y1^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 21, 50, 7, 36, 12, 41, 26, 55, 13, 42, 23, 52, 29, 58, 20, 49, 6, 35, 11, 40, 25, 54, 14, 43, 22, 51, 28, 57, 15, 44, 3, 32, 9, 38, 24, 53, 17, 46, 16, 45, 27, 56, 18, 47, 4, 33, 10, 39, 19, 48, 5, 34)(59, 88, 61, 90, 71, 100, 62, 91, 72, 101, 79, 108, 75, 104, 78, 107, 63, 92, 73, 102, 84, 113, 76, 105, 83, 112, 66, 95, 82, 111, 87, 116, 77, 106, 86, 115, 70, 99, 85, 114, 69, 98, 60, 89, 67, 96, 81, 110, 68, 97, 80, 109, 65, 94, 74, 103, 64, 93)
	L = (1, 62)(2, 68)(3, 72)(4, 75)(5, 76)(6, 71)(7, 59)(8, 77)(9, 80)(10, 74)(11, 81)(12, 60)(13, 79)(14, 78)(15, 83)(16, 61)(17, 73)(18, 82)(19, 85)(20, 84)(21, 63)(22, 64)(23, 65)(24, 86)(25, 87)(26, 66)(27, 67)(28, 69)(29, 70)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.215
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.195 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-3 * Y3, Y3^-1 * Y1^-1 * Y3^-2, (R * Y3)^2, (R * Y1)^2, (Y1^-1, Y2^-1), (Y1^-1, Y3), (R * Y2)^2, Y2 * Y1^-2 * Y2 * Y1^-1, Y1 * Y2 * Y1 * Y3^-1 * Y1, Y1 * Y3^-1 * Y2^-2 * Y1 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 13, 42, 23, 52, 28, 57, 14, 43, 24, 53, 29, 58, 17, 46, 7, 36, 12, 41, 20, 49, 6, 35, 11, 40, 15, 44, 3, 32, 9, 38, 18, 47, 4, 33, 10, 39, 22, 51, 26, 55, 21, 50, 25, 54, 27, 56, 16, 45, 19, 48, 5, 34)(59, 88, 61, 90, 71, 100, 62, 91, 72, 101, 84, 113, 75, 104, 85, 114, 78, 107, 63, 92, 73, 102, 66, 95, 76, 105, 86, 115, 80, 109, 87, 116, 83, 112, 70, 99, 77, 106, 69, 98, 60, 89, 67, 96, 81, 110, 68, 97, 82, 111, 79, 108, 65, 94, 74, 103, 64, 93)
	L = (1, 62)(2, 68)(3, 72)(4, 75)(5, 76)(6, 71)(7, 59)(8, 80)(9, 82)(10, 65)(11, 81)(12, 60)(13, 84)(14, 85)(15, 86)(16, 61)(17, 63)(18, 87)(19, 67)(20, 66)(21, 64)(22, 70)(23, 79)(24, 74)(25, 69)(26, 78)(27, 73)(28, 83)(29, 77)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.256
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.196 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-3, Y2^-1 * Y3 * Y2^-2, (Y3^-1, Y1), (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2), (R * Y2)^2, Y3^3 * Y2 * Y1^-1, Y1^-1 * Y2^-1 * Y3 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 3, 32, 9, 38, 22, 51, 13, 42, 24, 53, 17, 46, 4, 33, 10, 39, 21, 50, 14, 43, 25, 54, 28, 57, 27, 56, 29, 58, 20, 49, 16, 45, 19, 48, 7, 36, 12, 41, 23, 52, 15, 44, 26, 55, 18, 47, 6, 35, 11, 40, 5, 34)(59, 88, 61, 90, 71, 100, 62, 91, 72, 101, 85, 114, 74, 103, 70, 99, 84, 113, 69, 98, 60, 89, 67, 96, 82, 111, 68, 97, 83, 112, 87, 116, 77, 106, 81, 110, 76, 105, 63, 92, 66, 95, 80, 109, 75, 104, 79, 108, 86, 115, 78, 107, 65, 94, 73, 102, 64, 93)
	L = (1, 62)(2, 68)(3, 72)(4, 74)(5, 75)(6, 71)(7, 59)(8, 79)(9, 83)(10, 77)(11, 82)(12, 60)(13, 85)(14, 70)(15, 61)(16, 69)(17, 78)(18, 80)(19, 63)(20, 64)(21, 65)(22, 86)(23, 66)(24, 87)(25, 81)(26, 67)(27, 84)(28, 73)(29, 76)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.180
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.197 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-3 * Y2^-1, Y3 * Y2^-3, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y1^-1, Y3), Y1 * Y3^-2 * Y1 * Y3^-1, Y2 * Y1 * Y3^3, Y3 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 6, 35, 11, 40, 23, 52, 16, 45, 25, 54, 19, 48, 7, 36, 12, 41, 17, 46, 20, 49, 26, 55, 27, 56, 29, 58, 28, 57, 14, 43, 21, 50, 18, 47, 4, 33, 10, 39, 22, 51, 13, 42, 24, 53, 15, 44, 3, 32, 9, 38, 5, 34)(59, 88, 61, 90, 71, 100, 62, 91, 72, 101, 85, 114, 75, 104, 77, 106, 81, 110, 66, 95, 63, 92, 73, 102, 80, 109, 76, 105, 86, 115, 84, 113, 70, 99, 83, 112, 69, 98, 60, 89, 67, 96, 82, 111, 68, 97, 79, 108, 87, 116, 78, 107, 65, 94, 74, 103, 64, 93)
	L = (1, 62)(2, 68)(3, 72)(4, 75)(5, 76)(6, 71)(7, 59)(8, 80)(9, 79)(10, 78)(11, 82)(12, 60)(13, 85)(14, 77)(15, 86)(16, 61)(17, 66)(18, 70)(19, 63)(20, 64)(21, 65)(22, 84)(23, 73)(24, 87)(25, 67)(26, 69)(27, 81)(28, 83)(29, 74)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.208
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.198 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-3, (Y1^-1, Y2), (Y3, Y2), (R * Y3)^2, (Y1^-1, Y3^-1), (R * Y2)^2, (R * Y1)^2, Y3^2 * Y2 * Y1^2, Y1^2 * Y3^-1 * Y2^-1 * Y1, Y1 * Y2 * Y3^2 * Y1 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 14, 43, 21, 50, 7, 36, 12, 41, 15, 44, 3, 32, 9, 38, 23, 52, 26, 55, 28, 57, 16, 45, 25, 54, 27, 56, 13, 42, 24, 53, 29, 58, 17, 46, 20, 49, 6, 35, 11, 40, 18, 47, 4, 33, 10, 39, 22, 51, 19, 48, 5, 34)(59, 88, 61, 90, 71, 100, 62, 91, 72, 101, 84, 113, 75, 104, 77, 106, 70, 99, 83, 112, 69, 98, 60, 89, 67, 96, 82, 111, 68, 97, 79, 108, 86, 115, 78, 107, 63, 92, 73, 102, 85, 114, 76, 105, 66, 95, 81, 110, 87, 116, 80, 109, 65, 94, 74, 103, 64, 93)
	L = (1, 62)(2, 68)(3, 72)(4, 75)(5, 76)(6, 71)(7, 59)(8, 80)(9, 79)(10, 78)(11, 82)(12, 60)(13, 84)(14, 77)(15, 66)(16, 61)(17, 83)(18, 87)(19, 69)(20, 85)(21, 63)(22, 64)(23, 65)(24, 86)(25, 67)(26, 70)(27, 81)(28, 73)(29, 74)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.187
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.199 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-3, (Y1^-1, Y3^-1), (R * Y3)^2, (Y3^-1, Y2^-1), (R * Y1)^2, (Y1^-1, Y2^-1), (R * Y2)^2, Y1 * Y3^-2 * Y2^-1 * Y1, Y1 * Y2 * Y3 * Y1^2, Y3^3 * Y1 * Y3 * Y2^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2 * Y3^-2 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 22, 51, 18, 47, 4, 33, 10, 39, 20, 49, 6, 35, 11, 40, 17, 46, 26, 55, 28, 57, 13, 42, 24, 53, 29, 58, 16, 45, 25, 54, 27, 56, 23, 52, 15, 44, 3, 32, 9, 38, 21, 50, 7, 36, 12, 41, 14, 43, 19, 48, 5, 34)(59, 88, 61, 90, 71, 100, 62, 91, 72, 101, 85, 114, 75, 104, 66, 95, 79, 108, 87, 116, 78, 107, 63, 92, 73, 102, 86, 115, 76, 105, 70, 99, 83, 112, 69, 98, 60, 89, 67, 96, 82, 111, 68, 97, 77, 106, 81, 110, 84, 113, 80, 109, 65, 94, 74, 103, 64, 93)
	L = (1, 62)(2, 68)(3, 72)(4, 75)(5, 76)(6, 71)(7, 59)(8, 78)(9, 77)(10, 84)(11, 82)(12, 60)(13, 85)(14, 66)(15, 70)(16, 61)(17, 87)(18, 69)(19, 80)(20, 86)(21, 63)(22, 64)(23, 65)(24, 81)(25, 67)(26, 74)(27, 79)(28, 83)(29, 73)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.231
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.200 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, (Y2, Y3^-1), Y2^3 * Y3^-1, (Y3^-1, Y1^-1), (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3 * Y1 * Y2^-1 * Y1 * Y3, Y3 * Y1^2 * Y3 * Y2^-1, Y3 * Y1 * Y2^2 * Y1, Y3^4 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 24, 53, 28, 57, 13, 42, 21, 50, 7, 36, 12, 41, 25, 54, 14, 43, 20, 49, 6, 35, 11, 40, 23, 52, 17, 46, 15, 44, 3, 32, 9, 38, 22, 51, 27, 56, 18, 47, 4, 33, 10, 39, 16, 45, 26, 55, 29, 58, 19, 48, 5, 34)(59, 88, 61, 90, 71, 100, 62, 91, 72, 101, 77, 106, 75, 104, 82, 111, 85, 114, 70, 99, 84, 113, 69, 98, 60, 89, 67, 96, 79, 108, 68, 97, 78, 107, 63, 92, 73, 102, 86, 115, 76, 105, 83, 112, 87, 116, 81, 110, 66, 95, 80, 109, 65, 94, 74, 103, 64, 93)
	L = (1, 62)(2, 68)(3, 72)(4, 75)(5, 76)(6, 71)(7, 59)(8, 74)(9, 78)(10, 73)(11, 79)(12, 60)(13, 77)(14, 82)(15, 83)(16, 61)(17, 70)(18, 81)(19, 85)(20, 86)(21, 63)(22, 64)(23, 65)(24, 84)(25, 66)(26, 67)(27, 69)(28, 87)(29, 80)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.125
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.201 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y1^-1), Y3 * Y2^-3, (Y2, Y3), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y1^-1, Y2^-1), Y3^4 * Y1, Y3^-1 * Y1^2 * Y2^-2, Y2 * Y1 * Y3^-1 * Y1 * Y3^-1, Y1^-2 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1, Y1^-1 * Y2^-2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1, Y1^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 24, 53, 29, 58, 16, 45, 18, 47, 4, 33, 10, 39, 25, 54, 22, 51, 15, 44, 3, 32, 9, 38, 17, 46, 23, 52, 20, 49, 6, 35, 11, 40, 14, 43, 27, 56, 21, 50, 7, 36, 12, 41, 13, 42, 26, 55, 28, 57, 19, 48, 5, 34)(59, 88, 61, 90, 71, 100, 62, 91, 72, 101, 66, 95, 75, 104, 86, 115, 83, 112, 79, 108, 87, 116, 78, 107, 63, 92, 73, 102, 70, 99, 76, 105, 69, 98, 60, 89, 67, 96, 84, 113, 68, 97, 85, 114, 82, 111, 81, 110, 77, 106, 80, 109, 65, 94, 74, 103, 64, 93)
	L = (1, 62)(2, 68)(3, 72)(4, 75)(5, 76)(6, 71)(7, 59)(8, 83)(9, 85)(10, 81)(11, 84)(12, 60)(13, 66)(14, 86)(15, 69)(16, 61)(17, 79)(18, 67)(19, 74)(20, 70)(21, 63)(22, 64)(23, 65)(24, 80)(25, 78)(26, 82)(27, 77)(28, 87)(29, 73)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.251
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.202 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2 * Y1, Y2^2 * Y3^-1 * Y2, Y3 * Y2^-3, (R * Y3)^2, (R * Y1)^2, Y2^3 * Y3^-1, (R * Y2)^2, (Y3, Y1^-1), Y1 * Y2^-1 * Y3 * Y1 * Y2^-1, Y3^-4 * Y1^-1 * Y3^-1, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1 * Y3^-1, Y3 * Y1^-2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 6, 35, 9, 38, 14, 43, 17, 46, 7, 36, 10, 39, 18, 47, 21, 50, 26, 55, 27, 56, 19, 48, 22, 51, 29, 58, 24, 53, 28, 57, 15, 44, 20, 49, 23, 52, 25, 54, 12, 41, 16, 45, 4, 33, 8, 37, 11, 40, 13, 42, 3, 32, 5, 34)(59, 88, 61, 90, 69, 98, 62, 91, 70, 99, 81, 110, 73, 102, 82, 111, 80, 109, 85, 114, 79, 108, 68, 97, 75, 104, 67, 96, 60, 89, 63, 92, 71, 100, 66, 95, 74, 103, 83, 112, 78, 107, 86, 115, 87, 116, 77, 106, 84, 113, 76, 105, 65, 94, 72, 101, 64, 93)
	L = (1, 62)(2, 66)(3, 70)(4, 73)(5, 74)(6, 69)(7, 59)(8, 78)(9, 71)(10, 60)(11, 81)(12, 82)(13, 83)(14, 61)(15, 85)(16, 86)(17, 63)(18, 64)(19, 65)(20, 77)(21, 67)(22, 68)(23, 80)(24, 79)(25, 87)(26, 72)(27, 75)(28, 84)(29, 76)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.267
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.203 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1 * Y1, Y3^-1 * Y2^3, (Y3, Y1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y2 * Y3^-1 * Y1 * Y2, Y3^4 * Y1^-1 * Y3, Y3 * Y1 * Y3 * Y2 * Y3^2 * Y2, (Y1^-1 * Y3^-1)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 3, 32, 8, 37, 11, 40, 15, 44, 4, 33, 9, 38, 12, 41, 20, 49, 23, 52, 26, 55, 14, 43, 21, 50, 24, 53, 29, 58, 28, 57, 19, 48, 22, 51, 25, 54, 27, 56, 18, 47, 17, 46, 7, 36, 10, 39, 13, 42, 16, 45, 6, 35, 5, 34)(59, 88, 61, 90, 69, 98, 62, 91, 70, 99, 81, 110, 72, 101, 82, 111, 86, 115, 80, 109, 85, 114, 75, 104, 68, 97, 74, 103, 63, 92, 60, 89, 66, 95, 73, 102, 67, 96, 78, 107, 84, 113, 79, 108, 87, 116, 77, 106, 83, 112, 76, 105, 65, 94, 71, 100, 64, 93)
	L = (1, 62)(2, 67)(3, 70)(4, 72)(5, 73)(6, 69)(7, 59)(8, 78)(9, 79)(10, 60)(11, 81)(12, 82)(13, 61)(14, 80)(15, 84)(16, 66)(17, 63)(18, 64)(19, 65)(20, 87)(21, 83)(22, 68)(23, 86)(24, 85)(25, 71)(26, 77)(27, 74)(28, 75)(29, 76)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.245
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.204 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1, Y1^-1), (R * Y3)^2, Y2^-1 * Y1^-1 * Y3 * Y2^-1, Y2 * Y1 * Y3^-1 * Y2, Y3^-2 * Y1 * Y2^-1, (Y3, Y1^-1), (R * Y2)^2, Y1^-1 * Y2^-1 * Y3 * Y2^-1, (R * Y1)^2, Y1 * Y2^-1 * Y3 * Y1^4, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-2, Y1 * Y3^2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 18, 47, 25, 54, 15, 44, 6, 35, 11, 40, 21, 50, 27, 56, 17, 46, 7, 36, 12, 41, 22, 51, 28, 57, 29, 58, 23, 52, 13, 42, 4, 33, 10, 39, 20, 49, 24, 53, 14, 43, 3, 32, 9, 38, 19, 48, 26, 55, 16, 45, 5, 34)(59, 88, 61, 90, 71, 100, 65, 94, 73, 102, 63, 92, 72, 101, 81, 110, 75, 104, 83, 112, 74, 103, 82, 111, 87, 116, 85, 114, 76, 105, 84, 113, 78, 107, 86, 115, 79, 108, 66, 95, 77, 106, 68, 97, 80, 109, 69, 98, 60, 89, 67, 96, 62, 91, 70, 99, 64, 93)
	L = (1, 62)(2, 68)(3, 70)(4, 69)(5, 71)(6, 67)(7, 59)(8, 78)(9, 80)(10, 79)(11, 77)(12, 60)(13, 64)(14, 65)(15, 61)(16, 81)(17, 63)(18, 82)(19, 86)(20, 85)(21, 84)(22, 66)(23, 73)(24, 75)(25, 72)(26, 87)(27, 74)(28, 76)(29, 83)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.228
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.205 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-2, Y2 * Y3 * Y2^2, Y2^2 * Y3 * Y2, (Y2^-1, Y1^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2, Y3^-1), Y1^-1 * Y3^-1 * Y2^-1 * Y1 * Y2^-2, Y1^-5 * Y2^-1, Y1 * Y2^-1 * Y1^2 * Y3 * Y2^-1 * Y1, Y2 * Y1^-1 * Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1, Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1^2, Y1 * Y2^-2 * Y3 * Y1 * Y2^-2 * Y3 * Y1 * Y2^-2 * Y3 * Y1 * Y2^-2 * Y3 * Y1 * Y2^-2 * Y3 * Y1 * Y2^-2 * Y3 * Y1 * Y2^-2 * Y3 * Y1 * Y2^-2 * Y3 * Y1 * Y2^-2 * Y3 * Y1 * Y2^-2 * Y3 * Y1 * Y2^-2 * Y3 * Y1 * Y2^-2 * Y3 * Y1 * Y2^-2 * Y3 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 20, 49, 18, 47, 6, 35, 11, 40, 23, 52, 28, 57, 15, 44, 13, 42, 24, 53, 29, 58, 19, 48, 7, 36, 4, 33, 10, 39, 22, 51, 26, 55, 12, 41, 16, 45, 25, 54, 27, 56, 14, 43, 3, 32, 9, 38, 21, 50, 17, 46, 5, 34)(59, 88, 61, 90, 70, 99, 65, 94, 73, 102, 76, 105, 63, 92, 72, 101, 84, 113, 77, 106, 86, 115, 78, 107, 75, 104, 85, 114, 80, 109, 87, 116, 81, 110, 66, 95, 79, 108, 83, 112, 68, 97, 82, 111, 69, 98, 60, 89, 67, 96, 74, 103, 62, 91, 71, 100, 64, 93)
	L = (1, 62)(2, 68)(3, 71)(4, 60)(5, 65)(6, 74)(7, 59)(8, 80)(9, 82)(10, 66)(11, 83)(12, 64)(13, 67)(14, 73)(15, 61)(16, 69)(17, 77)(18, 70)(19, 63)(20, 84)(21, 87)(22, 78)(23, 85)(24, 79)(25, 81)(26, 76)(27, 86)(28, 72)(29, 75)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.273
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.206 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, (Y2, Y1), Y2^-1 * Y3^-1 * Y2^-2, Y3^-1 * Y2 * Y1 * Y3^-1, (R * Y1)^2, Y3 * Y2^-1 * Y1^-1 * Y3, (Y3, Y2), (R * Y3)^2, Y3 * Y2^-1 * Y3 * Y1^-1, (R * Y2)^2, Y1^4 * Y2^-1, Y2^-1 * Y3^-1 * Y1 * Y3 * Y2 * Y1^-1, Y3^-1 * Y2 * Y1^-1 * Y2^-2 * Y1^-1 * Y3^-2 * Y1^-1, (Y3^-1 * Y1^-1)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 15, 44, 3, 32, 9, 38, 20, 49, 25, 54, 13, 42, 23, 52, 29, 58, 19, 48, 7, 36, 12, 41, 22, 51, 27, 56, 16, 45, 4, 33, 10, 39, 21, 50, 26, 55, 14, 43, 24, 53, 28, 57, 18, 47, 6, 35, 11, 40, 17, 46, 5, 34)(59, 88, 61, 90, 71, 100, 65, 94, 74, 103, 84, 113, 76, 105, 63, 92, 73, 102, 83, 112, 77, 106, 85, 114, 79, 108, 86, 115, 75, 104, 66, 95, 78, 107, 87, 116, 80, 109, 68, 97, 82, 111, 69, 98, 60, 89, 67, 96, 81, 110, 70, 99, 62, 91, 72, 101, 64, 93)
	L = (1, 62)(2, 68)(3, 72)(4, 67)(5, 74)(6, 70)(7, 59)(8, 79)(9, 82)(10, 78)(11, 80)(12, 60)(13, 64)(14, 81)(15, 84)(16, 61)(17, 85)(18, 65)(19, 63)(20, 86)(21, 83)(22, 66)(23, 69)(24, 87)(25, 76)(26, 71)(27, 73)(28, 77)(29, 75)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.227
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.207 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y1^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2^3 * Y3, (Y1, Y2), Y3 * Y1 * Y3 * Y2^-2, Y3^-3 * Y1^-1 * Y2^-1, Y3 * Y1^4, Y2^-1 * Y1 * Y2^-1 * Y3^2, Y1^-1 * Y3^2 * Y1^-2 * Y2, (Y3 * Y2^-1)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 22, 51, 7, 36, 12, 41, 26, 55, 14, 43, 23, 52, 29, 58, 15, 44, 3, 32, 9, 38, 24, 53, 19, 48, 16, 45, 28, 57, 21, 50, 6, 35, 11, 40, 25, 54, 17, 46, 13, 42, 27, 56, 18, 47, 4, 33, 10, 39, 20, 49, 5, 34)(59, 88, 61, 90, 71, 100, 65, 94, 74, 103, 68, 97, 81, 110, 69, 98, 60, 89, 67, 96, 85, 114, 70, 99, 86, 115, 78, 107, 87, 116, 83, 112, 66, 95, 82, 111, 76, 105, 84, 113, 79, 108, 63, 92, 73, 102, 75, 104, 80, 109, 77, 106, 62, 91, 72, 101, 64, 93)
	L = (1, 62)(2, 68)(3, 72)(4, 75)(5, 76)(6, 77)(7, 59)(8, 78)(9, 81)(10, 71)(11, 74)(12, 60)(13, 64)(14, 80)(15, 84)(16, 61)(17, 79)(18, 83)(19, 73)(20, 85)(21, 82)(22, 63)(23, 65)(24, 87)(25, 86)(26, 66)(27, 69)(28, 67)(29, 70)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.129
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.208 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, (Y2, Y3^-1), Y2^-3 * Y3^-1, (Y3, Y1), (Y1, Y2), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y1^2 * Y3^-1 * Y1^2, Y2 * Y1 * Y3^-1 * Y2 * Y3^-1, Y2^-1 * Y3^-1 * Y1 * Y3^-2, Y2 * Y1^-2 * Y2 * Y1^-1 * Y3^-1, Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 18, 47, 4, 33, 10, 39, 25, 54, 13, 42, 17, 46, 28, 57, 21, 50, 6, 35, 11, 40, 26, 55, 16, 45, 19, 48, 29, 58, 15, 44, 3, 32, 9, 38, 24, 53, 23, 52, 14, 43, 27, 56, 22, 51, 7, 36, 12, 41, 20, 49, 5, 34)(59, 88, 61, 90, 71, 100, 65, 94, 74, 103, 76, 105, 81, 110, 79, 108, 63, 92, 73, 102, 83, 112, 80, 109, 84, 113, 66, 95, 82, 111, 86, 115, 78, 107, 87, 116, 68, 97, 85, 114, 69, 98, 60, 89, 67, 96, 75, 104, 70, 99, 77, 106, 62, 91, 72, 101, 64, 93)
	L = (1, 62)(2, 68)(3, 72)(4, 75)(5, 76)(6, 77)(7, 59)(8, 83)(9, 85)(10, 86)(11, 87)(12, 60)(13, 64)(14, 70)(15, 81)(16, 61)(17, 69)(18, 71)(19, 67)(20, 66)(21, 74)(22, 63)(23, 65)(24, 80)(25, 79)(26, 73)(27, 78)(28, 84)(29, 82)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.197
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.209 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, (Y2, Y3), Y3^-1 * Y1^-1 * Y3^-2, Y3 * Y2^3, (R * Y1)^2, (Y1, Y2^-1), (Y1^-1, Y3), (R * Y2)^2, (R * Y3)^2, Y1^-1 * Y3 * Y1^-2 * Y2 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 14, 43, 23, 52, 29, 58, 19, 48, 25, 54, 28, 57, 17, 46, 7, 36, 12, 41, 15, 44, 3, 32, 9, 38, 21, 50, 6, 35, 11, 40, 18, 47, 4, 33, 10, 39, 22, 51, 27, 56, 16, 45, 24, 53, 26, 55, 13, 42, 20, 49, 5, 34)(59, 88, 61, 90, 71, 100, 65, 94, 74, 103, 83, 112, 68, 97, 81, 110, 69, 98, 60, 89, 67, 96, 78, 107, 70, 99, 82, 111, 86, 115, 80, 109, 87, 116, 76, 105, 66, 95, 79, 108, 63, 92, 73, 102, 84, 113, 75, 104, 85, 114, 77, 106, 62, 91, 72, 101, 64, 93)
	L = (1, 62)(2, 68)(3, 72)(4, 75)(5, 76)(6, 77)(7, 59)(8, 80)(9, 81)(10, 65)(11, 83)(12, 60)(13, 64)(14, 85)(15, 66)(16, 61)(17, 63)(18, 86)(19, 84)(20, 69)(21, 87)(22, 70)(23, 74)(24, 67)(25, 71)(26, 79)(27, 73)(28, 78)(29, 82)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.232
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.210 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1, Y3^-1), Y3 * Y2^3, (R * Y1)^2, (R * Y2)^2, Y3^3 * Y1^-1, (Y1^-1, Y2^-1), (R * Y3)^2, Y1 * Y2 * Y3 * Y1^2, Y1 * Y2^-1 * Y1^2 * Y2^-1, (Y3 * Y2^-1)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 13, 42, 23, 52, 28, 57, 16, 45, 24, 53, 29, 58, 17, 46, 4, 33, 10, 39, 20, 49, 6, 35, 11, 40, 15, 44, 3, 32, 9, 38, 21, 50, 7, 36, 12, 41, 22, 51, 26, 55, 18, 47, 25, 54, 27, 56, 14, 43, 19, 48, 5, 34)(59, 88, 61, 90, 71, 100, 65, 94, 74, 103, 84, 113, 75, 104, 85, 114, 78, 107, 63, 92, 73, 102, 66, 95, 79, 108, 86, 115, 80, 109, 87, 116, 83, 112, 68, 97, 77, 106, 69, 98, 60, 89, 67, 96, 81, 110, 70, 99, 82, 111, 76, 105, 62, 91, 72, 101, 64, 93)
	L = (1, 62)(2, 68)(3, 72)(4, 70)(5, 75)(6, 76)(7, 59)(8, 78)(9, 77)(10, 80)(11, 83)(12, 60)(13, 64)(14, 82)(15, 85)(16, 61)(17, 65)(18, 81)(19, 87)(20, 84)(21, 63)(22, 66)(23, 69)(24, 67)(25, 86)(26, 71)(27, 74)(28, 73)(29, 79)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.230
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.211 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^-3, Y2 * Y1^-3, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y1^-1, Y3^-1), (Y2^-1, Y1^-1), (Y2^-1, Y3^-1), Y2 * Y1^-1 * Y3^-3, Y3^-1 * Y1^-2 * Y2^-2 * Y1^-1, Y2^-1 * Y1^-2 * Y3^-1 * Y2^-1 * Y1^-1, Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1, Y2 * Y3^-1 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 3, 32, 9, 38, 22, 51, 13, 42, 24, 53, 20, 49, 7, 36, 12, 41, 16, 45, 15, 44, 26, 55, 28, 57, 27, 56, 29, 58, 18, 47, 21, 50, 17, 46, 4, 33, 10, 39, 23, 52, 14, 43, 25, 54, 19, 48, 6, 35, 11, 40, 5, 34)(59, 88, 61, 90, 71, 100, 65, 94, 73, 102, 85, 114, 79, 108, 68, 97, 83, 112, 69, 98, 60, 89, 67, 96, 82, 111, 70, 99, 84, 113, 87, 116, 75, 104, 81, 110, 77, 106, 63, 92, 66, 95, 80, 109, 78, 107, 74, 103, 86, 115, 76, 105, 62, 91, 72, 101, 64, 93)
	L = (1, 62)(2, 68)(3, 72)(4, 74)(5, 75)(6, 76)(7, 59)(8, 81)(9, 83)(10, 73)(11, 79)(12, 60)(13, 64)(14, 86)(15, 61)(16, 66)(17, 70)(18, 78)(19, 87)(20, 63)(21, 65)(22, 77)(23, 84)(24, 69)(25, 85)(26, 67)(27, 71)(28, 80)(29, 82)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.244
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.212 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, (Y1, Y2^-1), Y2^-1 * Y1^-3, (Y3^-1, Y1^-1), (Y2^-1, Y3^-1), (R * Y1)^2, Y3^-1 * Y2^-3, (R * Y2)^2, (R * Y3)^2, Y3 * Y1^2 * Y3^2, Y3^-1 * Y2 * Y3^-2 * Y1, Y1^-1 * Y2^-1 * Y3^-1 * Y1 * Y2^-2, Y2 * Y3 * Y1^-1 * Y2 * Y1^-2, Y1 * Y2 * Y3^-1 * Y1^2 * Y2 * Y3^-1 * Y1^2 * Y2 * Y3^-1 * Y1^2 * Y2 * Y3^-1 * Y1^2 * Y2 * Y3^-1 * Y1^2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 6, 35, 11, 40, 22, 51, 14, 43, 25, 54, 18, 47, 4, 33, 10, 39, 21, 50, 19, 48, 26, 55, 27, 56, 28, 57, 29, 58, 16, 45, 17, 46, 20, 49, 7, 36, 12, 41, 23, 52, 13, 42, 24, 53, 15, 44, 3, 32, 9, 38, 5, 34)(59, 88, 61, 90, 71, 100, 65, 94, 74, 103, 85, 114, 79, 108, 76, 105, 80, 109, 66, 95, 63, 92, 73, 102, 81, 110, 78, 107, 87, 116, 84, 113, 68, 97, 83, 112, 69, 98, 60, 89, 67, 96, 82, 111, 70, 99, 75, 104, 86, 115, 77, 106, 62, 91, 72, 101, 64, 93)
	L = (1, 62)(2, 68)(3, 72)(4, 75)(5, 76)(6, 77)(7, 59)(8, 79)(9, 83)(10, 78)(11, 84)(12, 60)(13, 64)(14, 86)(15, 80)(16, 61)(17, 67)(18, 74)(19, 70)(20, 63)(21, 65)(22, 85)(23, 66)(24, 69)(25, 87)(26, 81)(27, 71)(28, 82)(29, 73)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.173
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.213 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^3, (Y1^-1, Y2^-1), (R * Y2)^2, (R * Y1)^2, (Y1^-1, Y3), (R * Y3)^2, (Y3^-1, Y2), Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2, Y1 * Y3^2 * Y2^-1 * Y1, Y1 * Y2 * Y1 * Y3^-1 * Y1, Y3^-3 * Y2^-1 * Y3^-1 * Y1, Y1^-1 * Y2^-1 * Y3^-1 * Y1 * Y2^-2, (Y2^-1 * Y3)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 19, 48, 22, 51, 7, 36, 12, 41, 21, 50, 6, 35, 11, 40, 23, 52, 26, 55, 27, 56, 13, 42, 24, 53, 29, 58, 14, 43, 25, 54, 28, 57, 17, 46, 15, 44, 3, 32, 9, 38, 18, 47, 4, 33, 10, 39, 16, 45, 20, 49, 5, 34)(59, 88, 61, 90, 71, 100, 65, 94, 74, 103, 86, 115, 81, 110, 66, 95, 76, 105, 87, 116, 79, 108, 63, 92, 73, 102, 85, 114, 80, 109, 68, 97, 83, 112, 69, 98, 60, 89, 67, 96, 82, 111, 70, 99, 78, 107, 75, 104, 84, 113, 77, 106, 62, 91, 72, 101, 64, 93)
	L = (1, 62)(2, 68)(3, 72)(4, 75)(5, 76)(6, 77)(7, 59)(8, 74)(9, 83)(10, 73)(11, 80)(12, 60)(13, 64)(14, 84)(15, 87)(16, 61)(17, 82)(18, 86)(19, 78)(20, 67)(21, 66)(22, 63)(23, 65)(24, 69)(25, 85)(26, 70)(27, 79)(28, 71)(29, 81)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.132
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.214 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^3 * Y3, (R * Y1)^2, (Y2^-1, Y1), (Y1^-1, Y3), (R * Y2)^2, (R * Y3)^2, Y1 * Y3^4, Y1 * Y2^-1 * Y1 * Y3^-2, Y2^2 * Y1^2 * Y3^-1, Y3^-1 * Y1^-1 * Y2 * Y3^-1 * Y1^-2, Y2^-1 * Y3^2 * Y2^-1 * Y1 * Y2^-1 * Y3, Y1^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 24, 53, 28, 57, 13, 42, 18, 47, 4, 33, 10, 39, 25, 54, 16, 45, 21, 50, 6, 35, 11, 40, 17, 46, 23, 52, 15, 44, 3, 32, 9, 38, 19, 48, 27, 56, 22, 51, 7, 36, 12, 41, 14, 43, 26, 55, 29, 58, 20, 49, 5, 34)(59, 88, 61, 90, 71, 100, 65, 94, 74, 103, 78, 107, 81, 110, 82, 111, 85, 114, 68, 97, 84, 113, 69, 98, 60, 89, 67, 96, 76, 105, 70, 99, 79, 108, 63, 92, 73, 102, 86, 115, 80, 109, 83, 112, 87, 116, 75, 104, 66, 95, 77, 106, 62, 91, 72, 101, 64, 93)
	L = (1, 62)(2, 68)(3, 72)(4, 75)(5, 76)(6, 77)(7, 59)(8, 83)(9, 84)(10, 81)(11, 85)(12, 60)(13, 64)(14, 66)(15, 70)(16, 61)(17, 80)(18, 69)(19, 87)(20, 71)(21, 67)(22, 63)(23, 65)(24, 74)(25, 73)(26, 82)(27, 78)(28, 79)(29, 86)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.169
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.215 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-3 * Y3^-1, (Y1, Y3), (Y2^-1, Y1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1^2 * Y2^-2, Y2 * Y1^2 * Y3^2, Y3^-1 * Y1 * Y3^-3, Y1^22 * Y3^-1, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y2, (Y3 * Y2^-1)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 24, 53, 28, 57, 14, 43, 22, 51, 7, 36, 12, 41, 25, 54, 19, 48, 15, 44, 3, 32, 9, 38, 23, 52, 17, 46, 21, 50, 6, 35, 11, 40, 16, 45, 27, 56, 18, 47, 4, 33, 10, 39, 13, 42, 26, 55, 29, 58, 20, 49, 5, 34)(59, 88, 61, 90, 71, 100, 65, 94, 74, 103, 66, 95, 81, 110, 87, 116, 83, 112, 76, 105, 86, 115, 79, 108, 63, 92, 73, 102, 68, 97, 80, 109, 69, 98, 60, 89, 67, 96, 84, 113, 70, 99, 85, 114, 82, 111, 75, 104, 78, 107, 77, 106, 62, 91, 72, 101, 64, 93)
	L = (1, 62)(2, 68)(3, 72)(4, 75)(5, 76)(6, 77)(7, 59)(8, 71)(9, 80)(10, 79)(11, 73)(12, 60)(13, 64)(14, 78)(15, 86)(16, 61)(17, 70)(18, 81)(19, 82)(20, 85)(21, 83)(22, 63)(23, 65)(24, 84)(25, 66)(26, 69)(27, 67)(28, 87)(29, 74)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.194
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.216 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2 * Y1, (Y3^-1, Y2^-1), Y3^-1 * Y2^-3, (Y3^-1, Y1^-1), (R * Y1)^2, Y2^-3 * Y3^-1, (R * Y2)^2, (R * Y3)^2, Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1, Y3^4 * Y1^-1 * Y3, (Y1^-1 * Y3^-1)^29, (Y3 * Y2^-1)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 6, 35, 9, 38, 12, 41, 16, 45, 4, 33, 8, 37, 17, 46, 21, 50, 24, 53, 27, 56, 15, 44, 20, 49, 28, 57, 26, 55, 29, 58, 19, 48, 22, 51, 23, 52, 25, 54, 14, 43, 18, 47, 7, 36, 10, 39, 11, 40, 13, 42, 3, 32, 5, 34)(59, 88, 61, 90, 69, 98, 65, 94, 72, 101, 81, 110, 77, 106, 84, 113, 78, 107, 85, 114, 79, 108, 66, 95, 74, 103, 67, 96, 60, 89, 63, 92, 71, 100, 68, 97, 76, 105, 83, 112, 80, 109, 87, 116, 86, 115, 73, 102, 82, 111, 75, 104, 62, 91, 70, 99, 64, 93)
	L = (1, 62)(2, 66)(3, 70)(4, 73)(5, 74)(6, 75)(7, 59)(8, 78)(9, 79)(10, 60)(11, 64)(12, 82)(13, 67)(14, 61)(15, 80)(16, 85)(17, 86)(18, 63)(19, 65)(20, 81)(21, 84)(22, 68)(23, 69)(24, 87)(25, 71)(26, 72)(27, 77)(28, 83)(29, 76)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.239
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.217 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1 * Y1, (Y3, Y1), (R * Y3)^2, Y2^3 * Y3, (R * Y2)^2, (R * Y1)^2, (Y3^-1, Y1^-1), Y1^-1 * Y3^-5, Y3^-1 * Y2 * Y3^-2 * Y2 * Y3^-1 * Y1, Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-3 * Y1 * Y3^-1, (Y3 * Y2^-1)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 3, 32, 8, 37, 11, 40, 18, 47, 7, 36, 10, 39, 13, 42, 20, 49, 23, 52, 26, 55, 19, 48, 22, 51, 25, 54, 28, 57, 27, 56, 14, 43, 21, 50, 24, 53, 29, 58, 16, 45, 15, 44, 4, 33, 9, 38, 12, 41, 17, 46, 6, 35, 5, 34)(59, 88, 61, 90, 69, 98, 65, 94, 71, 100, 81, 110, 77, 106, 83, 112, 85, 114, 79, 108, 87, 116, 73, 102, 67, 96, 75, 104, 63, 92, 60, 89, 66, 95, 76, 105, 68, 97, 78, 107, 84, 113, 80, 109, 86, 115, 72, 101, 82, 111, 74, 103, 62, 91, 70, 99, 64, 93)
	L = (1, 62)(2, 67)(3, 70)(4, 72)(5, 73)(6, 74)(7, 59)(8, 75)(9, 79)(10, 60)(11, 64)(12, 82)(13, 61)(14, 84)(15, 85)(16, 86)(17, 87)(18, 63)(19, 65)(20, 66)(21, 77)(22, 68)(23, 69)(24, 80)(25, 71)(26, 76)(27, 81)(28, 78)(29, 83)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.269
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.218 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2 * Y3, Y1^-1 * Y3 * Y2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^3 * Y3^-1 * Y2, Y1^4 * Y3 * Y1, Y3^6 * Y1, Y2 * Y3^-3 * Y2 * Y1^2, Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-2 * Y2 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 20, 49, 17, 46, 7, 36, 3, 32, 9, 38, 21, 50, 28, 57, 19, 48, 12, 41, 11, 40, 23, 52, 26, 55, 29, 58, 25, 54, 18, 47, 14, 43, 13, 42, 24, 53, 27, 56, 16, 45, 6, 35, 4, 33, 10, 39, 22, 51, 15, 44, 5, 34)(59, 88, 61, 90, 69, 98, 72, 101, 62, 91, 60, 89, 67, 96, 81, 110, 71, 100, 68, 97, 66, 95, 79, 108, 84, 113, 82, 111, 80, 109, 78, 107, 86, 115, 87, 116, 85, 114, 73, 102, 75, 104, 77, 106, 83, 112, 74, 103, 63, 92, 65, 94, 70, 99, 76, 105, 64, 93)
	L = (1, 62)(2, 68)(3, 60)(4, 71)(5, 64)(6, 72)(7, 59)(8, 80)(9, 66)(10, 82)(11, 67)(12, 61)(13, 84)(14, 81)(15, 74)(16, 76)(17, 63)(18, 69)(19, 65)(20, 73)(21, 78)(22, 85)(23, 79)(24, 87)(25, 70)(26, 86)(27, 83)(28, 75)(29, 77)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.263
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.219 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, (Y2, Y1), (Y2^-1, Y3^-1), Y3 * Y2^2 * Y1^-1, Y2^-1 * Y1 * Y3^-1 * Y2^-1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y2^2 * Y3^-2, Y1^4 * Y2 * Y3, Y1 * Y3^2 * Y1 * Y3 * Y2^-1 * Y1, Y3 * Y2^-1 * Y3^-2 * Y1^-1 * Y3 * Y2^-1 * Y3^-2 * Y1^-1 * Y3 * Y2^-1 * Y3^-2 * Y1^-1 * Y3 * Y2^-1 * Y3^-3 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 22, 51, 13, 42, 3, 32, 9, 38, 23, 52, 20, 49, 7, 36, 12, 41, 15, 44, 26, 55, 28, 57, 14, 43, 17, 46, 27, 56, 29, 58, 21, 50, 16, 45, 4, 33, 10, 39, 24, 53, 19, 48, 6, 35, 11, 40, 25, 54, 18, 47, 5, 34)(59, 88, 61, 90, 70, 99, 75, 104, 62, 91, 69, 98, 60, 89, 67, 96, 73, 102, 85, 114, 68, 97, 83, 112, 66, 95, 81, 110, 84, 113, 87, 116, 82, 111, 76, 105, 80, 109, 78, 107, 86, 115, 79, 108, 77, 106, 63, 92, 71, 100, 65, 94, 72, 101, 74, 103, 64, 93)
	L = (1, 62)(2, 68)(3, 69)(4, 73)(5, 74)(6, 75)(7, 59)(8, 82)(9, 83)(10, 84)(11, 85)(12, 60)(13, 64)(14, 61)(15, 66)(16, 70)(17, 67)(18, 79)(19, 72)(20, 63)(21, 65)(22, 77)(23, 76)(24, 86)(25, 87)(26, 80)(27, 81)(28, 71)(29, 78)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.177
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.220 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y2 * Y1, Y3 * Y2^-1 * Y1^-1 * Y3, Y3 * Y2^-1 * Y3 * Y1^-1, (Y1^-1, Y2^-1), (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1 * Y2 * Y1^3, Y2 * Y1^-1 * Y3 * Y2^2, Y1 * Y3 * Y1 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 18, 47, 6, 35, 11, 40, 22, 51, 28, 57, 20, 49, 14, 43, 25, 54, 27, 56, 16, 45, 4, 33, 10, 39, 19, 48, 7, 36, 12, 41, 23, 52, 29, 58, 21, 50, 13, 42, 24, 53, 26, 55, 15, 44, 3, 32, 9, 38, 17, 46, 5, 34)(59, 88, 61, 90, 71, 100, 70, 99, 62, 91, 72, 101, 69, 98, 60, 89, 67, 96, 82, 111, 81, 110, 68, 97, 83, 112, 80, 109, 66, 95, 75, 104, 84, 113, 87, 116, 77, 106, 85, 114, 86, 115, 76, 105, 63, 92, 73, 102, 79, 108, 65, 94, 74, 103, 78, 107, 64, 93)
	L = (1, 62)(2, 68)(3, 72)(4, 67)(5, 74)(6, 70)(7, 59)(8, 77)(9, 83)(10, 75)(11, 81)(12, 60)(13, 69)(14, 82)(15, 78)(16, 61)(17, 85)(18, 65)(19, 63)(20, 71)(21, 64)(22, 87)(23, 66)(24, 80)(25, 84)(26, 86)(27, 73)(28, 79)(29, 76)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.188
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.221 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1 * Y3^-1, (Y3^-1, Y2), (Y2, Y1^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2^4 * Y3^-1, Y1 * Y2 * Y1^2 * Y3, Y2^-1 * Y3 * Y2^-3, Y3^-1 * Y1^-1 * Y2 * Y3^-1 * Y1 * Y2^-1 * Y1, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^2 * Y2^-1, Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1, Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1 * Y2^-2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 21, 50, 16, 45, 24, 53, 29, 58, 20, 49, 25, 54, 27, 56, 14, 43, 3, 32, 9, 38, 19, 48, 7, 36, 4, 33, 10, 39, 18, 47, 6, 35, 11, 40, 22, 51, 26, 55, 12, 41, 23, 52, 28, 57, 15, 44, 13, 42, 17, 46, 5, 34)(59, 88, 61, 90, 70, 99, 74, 103, 62, 91, 71, 100, 83, 112, 69, 98, 60, 89, 67, 96, 81, 110, 82, 111, 68, 97, 75, 104, 85, 114, 80, 109, 66, 95, 77, 106, 86, 115, 87, 116, 76, 105, 63, 92, 72, 101, 84, 113, 79, 108, 65, 94, 73, 102, 78, 107, 64, 93)
	L = (1, 62)(2, 68)(3, 71)(4, 60)(5, 65)(6, 74)(7, 59)(8, 76)(9, 75)(10, 66)(11, 82)(12, 83)(13, 67)(14, 73)(15, 61)(16, 69)(17, 77)(18, 79)(19, 63)(20, 70)(21, 64)(22, 87)(23, 85)(24, 80)(25, 81)(26, 78)(27, 86)(28, 72)(29, 84)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.260
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.222 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y1 * Y2^-1, (Y3, Y1), Y3^-1 * Y2^-1 * Y1 * Y3^-1, (Y2, Y1), (R * Y1)^2, Y1 * Y3^-1 * Y2^-1 * Y3^-1, (R * Y2)^2, (R * Y3)^2, Y2 * Y1^2 * Y2 * Y1, Y2 * Y3^-1 * Y2^3, Y1 * Y2^-1 * Y3^3 * Y1, Y1^26 * Y2^-2, Y1 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y1 * Y2^-1, (Y1^-1 * Y3^-1)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 21, 50, 27, 56, 20, 49, 7, 36, 12, 41, 24, 53, 29, 58, 17, 46, 26, 55, 14, 43, 3, 32, 9, 38, 19, 48, 6, 35, 11, 40, 23, 52, 15, 44, 25, 54, 28, 57, 16, 45, 4, 33, 10, 39, 22, 51, 13, 42, 18, 47, 5, 34)(59, 88, 61, 90, 71, 100, 75, 104, 62, 91, 70, 99, 83, 112, 85, 114, 69, 98, 60, 89, 67, 96, 76, 105, 84, 113, 68, 97, 82, 111, 86, 115, 78, 107, 81, 110, 66, 95, 77, 106, 63, 92, 72, 101, 80, 109, 87, 116, 74, 103, 65, 94, 73, 102, 79, 108, 64, 93)
	L = (1, 62)(2, 68)(3, 70)(4, 69)(5, 74)(6, 75)(7, 59)(8, 80)(9, 82)(10, 81)(11, 84)(12, 60)(13, 83)(14, 65)(15, 61)(16, 64)(17, 85)(18, 86)(19, 87)(20, 63)(21, 71)(22, 73)(23, 72)(24, 66)(25, 67)(26, 78)(27, 76)(28, 77)(29, 79)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.229
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.223 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1 * Y3^-2, Y2^-1 * Y3^-2 * Y1^-1, (Y1, Y2), (R * Y2)^2, Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1, (R * Y1)^2, (R * Y3)^2, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, Y2^4 * Y3^-1, Y3 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1, Y3 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y3^-1 * Y1^6 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 13, 42, 25, 54, 18, 47, 4, 33, 10, 39, 23, 52, 28, 57, 16, 45, 26, 55, 17, 46, 6, 35, 11, 40, 15, 44, 3, 32, 9, 38, 22, 51, 19, 48, 27, 56, 29, 58, 14, 43, 7, 36, 12, 41, 24, 53, 21, 50, 20, 49, 5, 34)(59, 88, 61, 90, 71, 100, 77, 106, 62, 91, 72, 101, 86, 115, 82, 111, 75, 104, 63, 92, 73, 102, 66, 95, 80, 109, 76, 105, 87, 116, 81, 110, 70, 99, 84, 113, 78, 107, 69, 98, 60, 89, 67, 96, 83, 112, 85, 114, 68, 97, 65, 94, 74, 103, 79, 108, 64, 93)
	L = (1, 62)(2, 68)(3, 72)(4, 75)(5, 76)(6, 77)(7, 59)(8, 81)(9, 65)(10, 64)(11, 85)(12, 60)(13, 86)(14, 63)(15, 87)(16, 61)(17, 80)(18, 84)(19, 82)(20, 83)(21, 71)(22, 70)(23, 69)(24, 66)(25, 74)(26, 67)(27, 79)(28, 73)(29, 78)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.175
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.224 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2 * Y1^-2, (R * Y1)^2, (Y3^-1, Y1), (Y1^-1, Y2^-1), (R * Y2)^2, (Y2, Y3^-1), (R * Y3)^2, Y1^-1 * Y2 * Y3^2 * Y2, Y2 * Y3^-1 * Y2^3, Y2^-1 * Y3^3 * Y2^-1 * Y1^-1, Y1 * Y3 * Y2 * Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y3^-1 * Y2, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 3, 32, 9, 38, 23, 52, 13, 42, 25, 54, 28, 57, 18, 47, 27, 56, 17, 46, 4, 33, 10, 39, 22, 51, 14, 43, 20, 49, 7, 36, 12, 41, 24, 53, 15, 44, 26, 55, 29, 58, 21, 50, 16, 45, 19, 48, 6, 35, 11, 40, 5, 34)(59, 88, 61, 90, 71, 100, 76, 105, 62, 91, 72, 101, 70, 99, 84, 113, 74, 103, 69, 98, 60, 89, 67, 96, 83, 112, 85, 114, 68, 97, 78, 107, 82, 111, 87, 116, 77, 106, 63, 92, 66, 95, 81, 110, 86, 115, 75, 104, 80, 109, 65, 94, 73, 102, 79, 108, 64, 93)
	L = (1, 62)(2, 68)(3, 72)(4, 74)(5, 75)(6, 76)(7, 59)(8, 80)(9, 78)(10, 77)(11, 85)(12, 60)(13, 70)(14, 69)(15, 61)(16, 83)(17, 79)(18, 84)(19, 86)(20, 63)(21, 71)(22, 64)(23, 65)(24, 66)(25, 82)(26, 67)(27, 87)(28, 73)(29, 81)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.189
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.225 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2 * Y1^2, (Y3, Y2^-1), (Y3^-1, Y1^-1), (Y1^-1, Y2), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2 * Y1 * Y2 * Y3^2, Y3 * Y1 * Y3 * Y2^2, Y3^-1 * Y2^4, Y3^-1 * Y1 * Y3^-1 * Y1 * Y2^-1, Y1^-2 * Y2^2 * Y1^-1 * Y2^2 * Y1^-1 * Y2^2 * Y1^-1 * Y2^2 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 6, 35, 11, 40, 17, 46, 21, 50, 27, 56, 29, 58, 16, 45, 25, 54, 20, 49, 7, 36, 12, 41, 14, 43, 22, 51, 18, 47, 4, 33, 10, 39, 24, 53, 19, 48, 26, 55, 28, 57, 13, 42, 23, 52, 15, 44, 3, 32, 9, 38, 5, 34)(59, 88, 61, 90, 71, 100, 77, 106, 62, 91, 72, 101, 78, 107, 87, 116, 75, 104, 66, 95, 63, 92, 73, 102, 86, 115, 82, 111, 76, 105, 70, 99, 83, 112, 85, 114, 69, 98, 60, 89, 67, 96, 81, 110, 84, 113, 68, 97, 80, 109, 65, 94, 74, 103, 79, 108, 64, 93)
	L = (1, 62)(2, 68)(3, 72)(4, 75)(5, 76)(6, 77)(7, 59)(8, 82)(9, 80)(10, 79)(11, 84)(12, 60)(13, 78)(14, 66)(15, 70)(16, 61)(17, 86)(18, 69)(19, 87)(20, 63)(21, 71)(22, 64)(23, 65)(24, 85)(25, 67)(26, 74)(27, 81)(28, 83)(29, 73)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.259
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.226 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^-1 * Y3, Y1^-2 * Y3^-1 * Y2^-1, Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y2 * Y1^2 * Y3, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y1^-1), (Y2, Y1^-1), Y2^2 * Y3^-1 * Y2^2, Y3^-1 * Y1 * Y2^-1 * Y3^-2 * Y2, Y3^-2 * Y2^-1 * Y3^-2 * Y1^-1, Y3 * Y2^-1 * Y1^-1 * Y3 * Y1^-2, Y1^5 * Y2^-2, Y2^-1 * Y3^-1 * Y2^-2 * Y1 * Y3^-1 * Y2^-1, Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3 * Y1^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 20, 49, 28, 57, 13, 42, 23, 52, 16, 45, 24, 53, 17, 46, 4, 33, 10, 39, 6, 35, 11, 40, 21, 50, 27, 56, 15, 44, 3, 32, 9, 38, 7, 36, 12, 41, 22, 51, 18, 47, 25, 54, 19, 48, 26, 55, 29, 58, 14, 43, 5, 34)(59, 88, 61, 90, 71, 100, 76, 105, 62, 91, 72, 101, 85, 114, 78, 107, 70, 99, 82, 111, 84, 113, 69, 98, 60, 89, 67, 96, 81, 110, 83, 112, 68, 97, 63, 92, 73, 102, 86, 115, 80, 109, 75, 104, 87, 116, 79, 108, 66, 95, 65, 94, 74, 103, 77, 106, 64, 93)
	L = (1, 62)(2, 68)(3, 72)(4, 70)(5, 75)(6, 76)(7, 59)(8, 64)(9, 63)(10, 80)(11, 83)(12, 60)(13, 85)(14, 82)(15, 87)(16, 61)(17, 65)(18, 78)(19, 71)(20, 69)(21, 77)(22, 66)(23, 73)(24, 67)(25, 86)(26, 81)(27, 84)(28, 79)(29, 74)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.246
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.227 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, (Y2, Y3), Y1^-1 * Y3 * Y2 * Y1^-1, Y3^-3 * Y1^-1, (Y2, Y1^-1), Y3^-1 * Y1 * Y2^-1 * Y1, (R * Y2)^2, (R * Y3)^2, Y2 * Y3 * Y1^-2, (R * Y1)^2, Y2^3 * Y3^-1 * Y2, Y1^2 * Y3 * Y1 * Y2^-1 * Y3, Y3^-1 * Y2 * Y3^-1 * Y1 * Y2^2 * Y1, Y1^2 * Y2 * Y1^2 * Y2 * Y1^2 * Y2 * Y1^2 * Y2 * Y1^2 * Y2 * Y1^2 * Y2 * Y1^2 * Y2 * Y1^2 * Y2 * Y1^2 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 20, 49, 29, 58, 19, 48, 26, 55, 16, 45, 25, 54, 15, 44, 7, 36, 12, 41, 3, 32, 9, 38, 21, 50, 28, 57, 18, 47, 6, 35, 11, 40, 4, 33, 10, 39, 22, 51, 14, 43, 24, 53, 13, 42, 23, 52, 27, 56, 17, 46, 5, 34)(59, 88, 61, 90, 71, 100, 74, 103, 62, 91, 66, 95, 79, 108, 85, 114, 73, 102, 80, 109, 87, 116, 76, 105, 63, 92, 70, 99, 82, 111, 84, 113, 69, 98, 60, 89, 67, 96, 81, 110, 83, 112, 68, 97, 78, 107, 86, 115, 75, 104, 65, 94, 72, 101, 77, 106, 64, 93)
	L = (1, 62)(2, 68)(3, 66)(4, 73)(5, 69)(6, 74)(7, 59)(8, 80)(9, 78)(10, 65)(11, 83)(12, 60)(13, 79)(14, 61)(15, 63)(16, 85)(17, 64)(18, 84)(19, 71)(20, 72)(21, 87)(22, 70)(23, 86)(24, 67)(25, 75)(26, 81)(27, 76)(28, 77)(29, 82)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.206
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.228 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2 * Y1, (Y1^-1, Y3), (Y3, Y1^-1), (Y3, Y1^-1), (Y2^-1, Y3^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1^-1 * Y2 * Y1^-1 * Y2^-2, Y2^4 * Y3^-1, Y2^2 * Y1^-1 * Y3^-1 * Y2 * Y1^-1, Y3^-1 * Y1 * Y3^-2 * Y2^-2, Y3^2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2^-1 * Y3^-1 * Y2, Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 6, 35, 9, 38, 19, 48, 24, 53, 14, 43, 18, 47, 7, 36, 10, 39, 20, 49, 25, 54, 28, 57, 15, 44, 22, 51, 29, 58, 21, 50, 26, 55, 27, 56, 12, 41, 16, 45, 4, 33, 8, 37, 17, 46, 23, 52, 11, 40, 13, 42, 3, 32, 5, 34)(59, 88, 61, 90, 69, 98, 75, 104, 62, 91, 70, 99, 84, 113, 87, 116, 73, 102, 83, 112, 68, 97, 76, 105, 82, 111, 67, 96, 60, 89, 63, 92, 71, 100, 81, 110, 66, 95, 74, 103, 85, 114, 79, 108, 80, 109, 86, 115, 78, 107, 65, 94, 72, 101, 77, 106, 64, 93)
	L = (1, 62)(2, 66)(3, 70)(4, 73)(5, 74)(6, 75)(7, 59)(8, 80)(9, 81)(10, 60)(11, 84)(12, 83)(13, 85)(14, 61)(15, 82)(16, 86)(17, 87)(18, 63)(19, 69)(20, 64)(21, 65)(22, 72)(23, 79)(24, 71)(25, 67)(26, 68)(27, 78)(28, 77)(29, 76)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.204
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.229 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-2, (Y3, Y2^-1), (R * Y1)^2, (Y3^-1, Y1), (R * Y3)^2, (R * Y2)^2, Y2^-1 * Y3 * Y2^-3, Y3^-1 * Y1^-1 * Y2^-1 * Y3 * Y1 * Y2, Y3^3 * Y1 * Y2^2, Y3^2 * Y1^-1 * Y3^2 * Y2^-1, Y2 * Y1^-2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 3, 32, 8, 37, 11, 40, 22, 51, 16, 45, 15, 44, 4, 33, 9, 38, 12, 41, 23, 52, 27, 56, 21, 50, 26, 55, 29, 58, 14, 43, 25, 54, 28, 57, 20, 49, 18, 47, 7, 36, 10, 39, 13, 42, 24, 53, 19, 48, 17, 46, 6, 35, 5, 34)(59, 88, 61, 90, 69, 98, 74, 103, 62, 91, 70, 99, 85, 114, 84, 113, 72, 101, 86, 115, 76, 105, 68, 97, 82, 111, 75, 104, 63, 92, 60, 89, 66, 95, 80, 109, 73, 102, 67, 96, 81, 110, 79, 108, 87, 116, 83, 112, 78, 107, 65, 94, 71, 100, 77, 106, 64, 93)
	L = (1, 62)(2, 67)(3, 70)(4, 72)(5, 73)(6, 74)(7, 59)(8, 81)(9, 83)(10, 60)(11, 85)(12, 86)(13, 61)(14, 82)(15, 87)(16, 84)(17, 80)(18, 63)(19, 69)(20, 64)(21, 65)(22, 79)(23, 78)(24, 66)(25, 77)(26, 68)(27, 76)(28, 75)(29, 71)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.222
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.230 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2 * Y3, Y1^-1 * Y3 * Y2, Y2 * Y1 * Y2^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1^-2 * Y2^-1 * Y3 * Y2^-1, Y3^-3 * Y1^-1 * Y3^-2 * Y1^-2, Y3^7 * Y2^-1, Y1^29, Y1^2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^2, (Y3^-1 * Y1^-1)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 18, 47, 22, 51, 28, 57, 24, 53, 17, 46, 12, 41, 11, 40, 6, 35, 4, 33, 10, 39, 19, 48, 26, 55, 29, 58, 23, 52, 16, 45, 7, 36, 3, 32, 9, 38, 14, 43, 13, 42, 20, 49, 27, 56, 25, 54, 21, 50, 15, 44, 5, 34)(59, 88, 61, 90, 69, 98, 63, 92, 65, 94, 70, 99, 73, 102, 74, 103, 75, 104, 79, 108, 81, 110, 82, 111, 83, 112, 87, 116, 86, 115, 85, 114, 84, 113, 80, 109, 78, 107, 77, 106, 76, 105, 71, 100, 68, 97, 66, 95, 72, 101, 62, 91, 60, 89, 67, 96, 64, 93)
	L = (1, 62)(2, 68)(3, 60)(4, 71)(5, 64)(6, 72)(7, 59)(8, 77)(9, 66)(10, 78)(11, 67)(12, 61)(13, 80)(14, 76)(15, 69)(16, 63)(17, 65)(18, 84)(19, 85)(20, 86)(21, 70)(22, 87)(23, 73)(24, 74)(25, 75)(26, 83)(27, 82)(28, 81)(29, 79)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.210
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.231 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, (Y3, Y1^-1), Y2 * Y3^2 * Y1^-1, Y3 * Y2 * Y3 * Y1^-1, (R * Y1)^2, Y2^-1 * Y3^-2 * Y1, (R * Y3)^2, (R * Y2)^2, Y3^2 * Y1^3, Y2^4 * Y3, Y2^2 * Y3^-1 * Y2 * Y1, Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 14, 43, 3, 32, 9, 38, 22, 51, 26, 55, 13, 42, 17, 46, 24, 53, 28, 57, 16, 45, 4, 33, 10, 39, 20, 49, 7, 36, 12, 41, 23, 52, 27, 56, 15, 44, 21, 50, 25, 54, 29, 58, 19, 48, 6, 35, 11, 40, 18, 47, 5, 34)(59, 88, 61, 90, 71, 100, 74, 103, 65, 94, 73, 102, 77, 106, 63, 92, 72, 101, 84, 113, 86, 115, 78, 107, 85, 114, 87, 116, 76, 105, 66, 95, 80, 109, 82, 111, 68, 97, 81, 110, 83, 112, 69, 98, 60, 89, 67, 96, 75, 104, 62, 91, 70, 99, 79, 108, 64, 93)
	L = (1, 62)(2, 68)(3, 70)(4, 69)(5, 74)(6, 75)(7, 59)(8, 78)(9, 81)(10, 76)(11, 82)(12, 60)(13, 79)(14, 65)(15, 61)(16, 64)(17, 83)(18, 86)(19, 71)(20, 63)(21, 67)(22, 85)(23, 66)(24, 87)(25, 80)(26, 73)(27, 72)(28, 77)(29, 84)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.199
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.232 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y1^-1), (Y3^-1, Y2), Y3^-1 * Y1 * Y2 * Y3^-1, (R * Y3)^2, Y2^-1 * Y3^2 * Y1^-1, Y3 * Y1^-1 * Y3 * Y2^-1, (Y1, Y2), (R * Y1)^2, (R * Y2)^2, Y1 * Y2^-1 * Y1^2 * Y2^-1, Y2^2 * Y3 * Y2^2, Y3^-2 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 13, 42, 25, 54, 19, 48, 7, 36, 12, 41, 24, 53, 28, 57, 14, 43, 26, 55, 18, 47, 6, 35, 11, 40, 15, 44, 3, 32, 9, 38, 22, 51, 21, 50, 27, 56, 29, 58, 16, 45, 4, 33, 10, 39, 23, 52, 20, 49, 17, 46, 5, 34)(59, 88, 61, 90, 71, 100, 79, 108, 65, 94, 74, 103, 86, 115, 81, 110, 76, 105, 63, 92, 73, 102, 66, 95, 80, 109, 77, 106, 87, 116, 82, 111, 68, 97, 84, 113, 75, 104, 69, 98, 60, 89, 67, 96, 83, 112, 85, 114, 70, 99, 62, 91, 72, 101, 78, 107, 64, 93)
	L = (1, 62)(2, 68)(3, 72)(4, 67)(5, 74)(6, 70)(7, 59)(8, 81)(9, 84)(10, 80)(11, 82)(12, 60)(13, 78)(14, 83)(15, 86)(16, 61)(17, 87)(18, 65)(19, 63)(20, 85)(21, 64)(22, 76)(23, 79)(24, 66)(25, 75)(26, 77)(27, 69)(28, 71)(29, 73)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.209
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.233 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1 * Y1^2, (Y1, Y3), (Y2, Y3), (R * Y1)^2, (R * Y2)^2, (Y2, Y1^-1), (R * Y3)^2, Y3^-1 * Y2 * Y1^-1 * Y2 * Y3^-1, Y3^-1 * Y2^-4, Y3^-1 * Y1^-1 * Y2^-1 * Y3^-2 * Y2^-1, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 3, 32, 9, 38, 16, 45, 13, 42, 25, 54, 28, 57, 22, 51, 27, 56, 20, 49, 7, 36, 12, 41, 18, 47, 15, 44, 17, 46, 4, 33, 10, 39, 24, 53, 14, 43, 26, 55, 29, 58, 21, 50, 23, 52, 19, 48, 6, 35, 11, 40, 5, 34)(59, 88, 61, 90, 71, 100, 80, 109, 65, 94, 73, 102, 68, 97, 84, 113, 81, 110, 69, 98, 60, 89, 67, 96, 83, 112, 85, 114, 70, 99, 75, 104, 82, 111, 87, 116, 77, 106, 63, 92, 66, 95, 74, 103, 86, 115, 78, 107, 76, 105, 62, 91, 72, 101, 79, 108, 64, 93)
	L = (1, 62)(2, 68)(3, 72)(4, 74)(5, 75)(6, 76)(7, 59)(8, 82)(9, 84)(10, 71)(11, 73)(12, 60)(13, 79)(14, 86)(15, 61)(16, 87)(17, 67)(18, 66)(19, 70)(20, 63)(21, 78)(22, 64)(23, 65)(24, 83)(25, 81)(26, 80)(27, 69)(28, 77)(29, 85)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.130
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.234 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^3, (Y1^-1, Y2), (R * Y2)^2, (Y2, Y3^-1), (R * Y3)^2, (Y1^-1, Y3^-1), (R * Y1)^2, Y3^-1 * Y1 * Y3^-1 * Y2^2, Y3 * Y2^4, Y3 * Y2 * Y3^2 * Y2 * Y1^-1, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 6, 35, 11, 40, 23, 52, 21, 50, 26, 55, 29, 58, 14, 43, 25, 54, 18, 47, 4, 33, 10, 39, 16, 45, 19, 48, 20, 49, 7, 36, 12, 41, 24, 53, 22, 51, 27, 56, 28, 57, 13, 42, 17, 46, 15, 44, 3, 32, 9, 38, 5, 34)(59, 88, 61, 90, 71, 100, 80, 109, 65, 94, 74, 103, 76, 105, 87, 116, 81, 110, 66, 95, 63, 92, 73, 102, 86, 115, 82, 111, 78, 107, 68, 97, 83, 112, 84, 113, 69, 98, 60, 89, 67, 96, 75, 104, 85, 114, 70, 99, 77, 106, 62, 91, 72, 101, 79, 108, 64, 93)
	L = (1, 62)(2, 68)(3, 72)(4, 75)(5, 76)(6, 77)(7, 59)(8, 74)(9, 83)(10, 73)(11, 78)(12, 60)(13, 79)(14, 85)(15, 87)(16, 61)(17, 84)(18, 71)(19, 67)(20, 63)(21, 70)(22, 64)(23, 65)(24, 66)(25, 86)(26, 82)(27, 69)(28, 81)(29, 80)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.136
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.235 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3 * Y2 * Y1^-1, Y2^-1 * Y1^2 * Y3^-1, Y1 * Y3^-1 * Y1 * Y2^-1, (Y1^-1, Y2), (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y2)^2, (R * Y1)^2, Y2 * Y3 * Y2^3, Y3^-4 * Y1, Y1 * Y3^2 * Y2^-1 * Y3, Y3^-1 * Y2^-1 * Y1^-5 * Y3^-1, Y2^-1 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y1^-1 * Y2^-1, Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 22, 51, 27, 56, 29, 58, 19, 48, 7, 36, 12, 41, 3, 32, 9, 38, 20, 49, 25, 54, 16, 45, 21, 50, 15, 44, 14, 43, 24, 53, 13, 42, 18, 47, 6, 35, 11, 40, 4, 33, 10, 39, 23, 52, 26, 55, 28, 57, 17, 46, 5, 34)(59, 88, 61, 90, 71, 100, 75, 104, 65, 94, 72, 101, 84, 113, 87, 116, 79, 108, 68, 97, 80, 109, 83, 112, 69, 98, 60, 89, 67, 96, 76, 105, 63, 92, 70, 99, 82, 111, 86, 115, 77, 106, 73, 102, 81, 110, 85, 114, 74, 103, 62, 91, 66, 95, 78, 107, 64, 93)
	L = (1, 62)(2, 68)(3, 66)(4, 73)(5, 69)(6, 74)(7, 59)(8, 81)(9, 80)(10, 72)(11, 79)(12, 60)(13, 78)(14, 61)(15, 70)(16, 77)(17, 64)(18, 83)(19, 63)(20, 85)(21, 65)(22, 84)(23, 82)(24, 67)(25, 87)(26, 71)(27, 86)(28, 76)(29, 75)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.248
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.236 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, (Y1^-1, Y3^-1), Y1 * Y3 * Y2 * Y1, Y1 * Y3 * Y1 * Y2, Y2 * Y3 * Y1^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2^-1 * Y3^-1 * Y2^-3, Y3 * Y1 * Y3^3, Y3^-1 * Y2^-1 * Y3^-1 * Y1 * Y3^-1 * Y2^2, Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1, Y1^3 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 22, 51, 26, 55, 27, 56, 18, 47, 4, 33, 10, 39, 6, 35, 11, 40, 13, 42, 24, 53, 16, 45, 17, 46, 21, 50, 19, 48, 25, 54, 20, 49, 15, 44, 3, 32, 9, 38, 7, 36, 12, 41, 23, 52, 29, 58, 28, 57, 14, 43, 5, 34)(59, 88, 61, 90, 71, 100, 66, 95, 65, 94, 74, 103, 84, 113, 81, 110, 79, 108, 76, 105, 86, 115, 83, 112, 68, 97, 63, 92, 73, 102, 69, 98, 60, 89, 67, 96, 82, 111, 80, 109, 70, 99, 75, 104, 85, 114, 87, 116, 77, 106, 62, 91, 72, 101, 78, 107, 64, 93)
	L = (1, 62)(2, 68)(3, 72)(4, 75)(5, 76)(6, 77)(7, 59)(8, 64)(9, 63)(10, 79)(11, 83)(12, 60)(13, 78)(14, 85)(15, 86)(16, 61)(17, 67)(18, 74)(19, 70)(20, 87)(21, 65)(22, 69)(23, 66)(24, 73)(25, 81)(26, 71)(27, 82)(28, 84)(29, 80)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.253
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.237 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1 * Y1^-1, (Y3, Y2^-1), (Y3^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1^-1 * Y2 * Y1^-1 * Y2^-2, Y2 * Y3 * Y2^3, Y3^-2 * Y2^-1 * Y1 * Y3^-2, Y3^3 * Y1 * Y2^-2, Y2^2 * Y1^-1 * Y2 * Y3 * Y1^-1, Y1^-2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y2^2, Y2^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 6, 35, 9, 38, 19, 48, 24, 53, 12, 41, 16, 45, 4, 33, 8, 37, 17, 46, 23, 52, 29, 58, 21, 50, 26, 55, 28, 57, 15, 44, 22, 51, 27, 56, 14, 43, 18, 47, 7, 36, 10, 39, 20, 49, 25, 54, 11, 40, 13, 42, 3, 32, 5, 34)(59, 88, 61, 90, 69, 98, 78, 107, 65, 94, 72, 101, 80, 109, 86, 115, 79, 108, 81, 110, 66, 95, 74, 103, 82, 111, 67, 96, 60, 89, 63, 92, 71, 100, 83, 112, 68, 97, 76, 105, 85, 114, 73, 102, 84, 113, 87, 116, 75, 104, 62, 91, 70, 99, 77, 106, 64, 93)
	L = (1, 62)(2, 66)(3, 70)(4, 73)(5, 74)(6, 75)(7, 59)(8, 80)(9, 81)(10, 60)(11, 77)(12, 84)(13, 82)(14, 61)(15, 83)(16, 86)(17, 85)(18, 63)(19, 87)(20, 64)(21, 65)(22, 69)(23, 72)(24, 79)(25, 67)(26, 68)(27, 71)(28, 78)(29, 76)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.186
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.238 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y2, (Y3, Y2^-1), (Y3, Y1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y2^-1 * Y1^-1 * Y2^2, Y3^-1 * Y2^-4, Y3 * Y2^-1 * Y3^2 * Y2^-1 * Y1^-1, Y1^-1 * Y3^-4 * Y2^-1, Y1 * Y2 * Y3 * Y1 * Y2^2, Y1 * Y3^-2 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1, (Y1^-1 * Y3^-1)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 3, 32, 8, 37, 11, 40, 22, 51, 20, 49, 18, 47, 7, 36, 10, 39, 13, 42, 24, 53, 27, 56, 14, 43, 25, 54, 28, 57, 21, 50, 26, 55, 29, 58, 16, 45, 15, 44, 4, 33, 9, 38, 12, 41, 23, 52, 19, 48, 17, 46, 6, 35, 5, 34)(59, 88, 61, 90, 69, 98, 78, 107, 65, 94, 71, 100, 85, 114, 83, 112, 79, 108, 87, 116, 73, 102, 67, 96, 81, 110, 75, 104, 63, 92, 60, 89, 66, 95, 80, 109, 76, 105, 68, 97, 82, 111, 72, 101, 86, 115, 84, 113, 74, 103, 62, 91, 70, 99, 77, 106, 64, 93)
	L = (1, 62)(2, 67)(3, 70)(4, 72)(5, 73)(6, 74)(7, 59)(8, 81)(9, 83)(10, 60)(11, 77)(12, 86)(13, 61)(14, 80)(15, 85)(16, 82)(17, 87)(18, 63)(19, 84)(20, 64)(21, 65)(22, 75)(23, 79)(24, 66)(25, 78)(26, 68)(27, 69)(28, 76)(29, 71)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.174
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.239 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^3 * Y1^-1, Y3 * Y1^-1 * Y2^-2, Y3 * Y2^-2 * Y1^-1, (Y2^-1, Y1^-1), (R * Y1)^2, Y3 * Y1^-1 * Y2 * Y1^-1, (R * Y3)^2, Y1^-1 * Y2^-1 * Y3 * Y2^-1, (R * Y2)^2, Y1 * Y3^4 * Y1^2, Y1^29, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 18, 47, 28, 57, 24, 53, 25, 54, 16, 45, 7, 36, 12, 41, 3, 32, 9, 38, 19, 48, 14, 43, 21, 50, 26, 55, 17, 46, 22, 51, 13, 42, 6, 35, 11, 40, 4, 33, 10, 39, 20, 49, 27, 56, 29, 58, 23, 52, 15, 44, 5, 34)(59, 88, 61, 90, 69, 98, 60, 89, 67, 96, 62, 91, 66, 95, 77, 106, 68, 97, 76, 105, 72, 101, 78, 107, 86, 115, 79, 108, 85, 114, 82, 111, 84, 113, 87, 116, 83, 112, 75, 104, 81, 110, 74, 103, 80, 109, 73, 102, 65, 94, 71, 100, 63, 92, 70, 99, 64, 93)
	L = (1, 62)(2, 68)(3, 66)(4, 72)(5, 69)(6, 67)(7, 59)(8, 78)(9, 76)(10, 79)(11, 77)(12, 60)(13, 61)(14, 82)(15, 64)(16, 63)(17, 65)(18, 85)(19, 86)(20, 84)(21, 83)(22, 70)(23, 71)(24, 81)(25, 73)(26, 74)(27, 75)(28, 87)(29, 80)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.216
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.240 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1 * Y3^-1 * Y2^-1, Y2^-1 * Y3^-1 * Y1 * Y2^-1, Y2 * Y3 * Y2 * Y1^-1, (Y2, Y1^-1), (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2 * Y1^4, Y3 * Y1 * Y3 * Y1 * Y3, Y3 * Y1^-1 * Y3 * Y1^-1 * Y2^-1 * Y3, Y3^-1 * Y2 * Y1 * Y3 * Y2^-1 * Y1^-1, Y3^10 * Y2 * Y1, (Y3 * Y2^-1)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 19, 48, 6, 35, 11, 40, 22, 51, 29, 58, 16, 45, 4, 33, 10, 39, 21, 50, 26, 55, 17, 46, 25, 54, 28, 57, 14, 43, 24, 53, 15, 44, 20, 49, 7, 36, 12, 41, 23, 52, 27, 56, 13, 42, 3, 32, 9, 38, 18, 47, 5, 34)(59, 88, 61, 90, 70, 99, 82, 111, 75, 104, 62, 91, 69, 98, 60, 89, 67, 96, 81, 110, 73, 102, 83, 112, 68, 97, 80, 109, 66, 95, 76, 105, 85, 114, 78, 107, 86, 115, 79, 108, 87, 116, 77, 106, 63, 92, 71, 100, 65, 94, 72, 101, 84, 113, 74, 103, 64, 93)
	L = (1, 62)(2, 68)(3, 69)(4, 73)(5, 74)(6, 75)(7, 59)(8, 79)(9, 80)(10, 78)(11, 83)(12, 60)(13, 64)(14, 61)(15, 76)(16, 82)(17, 81)(18, 87)(19, 84)(20, 63)(21, 65)(22, 86)(23, 66)(24, 67)(25, 85)(26, 70)(27, 77)(28, 71)(29, 72)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.179
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.241 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-2 * Y1, Y1 * Y3^-2 * Y2, (R * Y2)^2, (Y3^-1, Y2^-1), (R * Y3)^2, (Y1^-1, Y3^-1), (R * Y1)^2, Y1^2 * Y3 * Y2 * Y3, Y2 * Y1 * Y3^2 * Y1, Y2^-2 * Y1 * Y2^2 * Y1^-1, Y2^2 * Y3 * Y2^2 * Y1^-1, Y2^-1 * Y3 * Y2^-4, Y3 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y3 * Y1 * Y2^-1, Y1^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 20, 49, 24, 53, 29, 58, 16, 45, 4, 33, 10, 39, 21, 50, 25, 54, 28, 57, 15, 44, 3, 32, 9, 38, 18, 47, 6, 35, 11, 40, 22, 51, 27, 56, 14, 43, 19, 48, 7, 36, 12, 41, 23, 52, 26, 55, 13, 42, 17, 46, 5, 34)(59, 88, 61, 90, 71, 100, 83, 112, 70, 99, 62, 91, 72, 101, 82, 111, 69, 98, 60, 89, 67, 96, 75, 104, 86, 115, 81, 110, 68, 97, 77, 106, 87, 116, 80, 109, 66, 95, 76, 105, 63, 92, 73, 102, 84, 113, 79, 108, 65, 94, 74, 103, 85, 114, 78, 107, 64, 93)
	L = (1, 62)(2, 68)(3, 72)(4, 67)(5, 74)(6, 70)(7, 59)(8, 79)(9, 77)(10, 76)(11, 81)(12, 60)(13, 82)(14, 75)(15, 85)(16, 61)(17, 87)(18, 65)(19, 63)(20, 83)(21, 64)(22, 84)(23, 66)(24, 86)(25, 69)(26, 78)(27, 71)(28, 80)(29, 73)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.193
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.242 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-2, Y1^2 * Y2^-1 * Y1, Y1^3 * Y2^-1, (Y3^-1, Y2), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1 * Y3 * Y1 * Y2^-1 * Y3, Y2^-2 * Y1 * Y2^2 * Y1^-1, Y2^2 * Y3^-1 * Y2^3, Y2 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^2 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 3, 32, 9, 38, 20, 49, 12, 41, 21, 50, 29, 58, 24, 53, 28, 57, 19, 48, 15, 44, 17, 46, 7, 36, 4, 33, 10, 39, 14, 43, 13, 42, 22, 51, 26, 55, 25, 54, 27, 56, 18, 47, 23, 52, 16, 45, 6, 35, 11, 40, 5, 34)(59, 88, 61, 90, 70, 99, 82, 111, 73, 102, 62, 91, 71, 100, 83, 112, 81, 110, 69, 98, 60, 89, 67, 96, 79, 108, 86, 115, 75, 104, 68, 97, 80, 109, 85, 114, 74, 103, 63, 92, 66, 95, 78, 107, 87, 116, 77, 106, 65, 94, 72, 101, 84, 113, 76, 105, 64, 93)
	L = (1, 62)(2, 68)(3, 71)(4, 60)(5, 65)(6, 73)(7, 59)(8, 72)(9, 80)(10, 66)(11, 75)(12, 83)(13, 67)(14, 61)(15, 69)(16, 77)(17, 63)(18, 82)(19, 64)(20, 84)(21, 85)(22, 78)(23, 86)(24, 81)(25, 79)(26, 70)(27, 87)(28, 74)(29, 76)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.133
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.243 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-2, Y1^-3 * Y2^-1, (Y2^-1, Y3^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2^2 * Y3^-1 * Y2^3, Y1 * Y2^-2 * Y1 * Y2^-1 * Y3^-1 * Y2^-1, Y2 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 6, 35, 10, 39, 20, 49, 18, 47, 22, 51, 25, 54, 27, 56, 28, 57, 13, 42, 15, 44, 16, 45, 4, 33, 7, 36, 11, 40, 17, 46, 19, 48, 23, 52, 24, 53, 29, 58, 26, 55, 12, 41, 21, 50, 14, 43, 3, 32, 9, 38, 5, 34)(59, 88, 61, 90, 70, 99, 82, 111, 75, 104, 62, 91, 71, 100, 83, 112, 78, 107, 66, 95, 63, 92, 72, 101, 84, 113, 81, 110, 69, 98, 74, 103, 86, 115, 80, 109, 68, 97, 60, 89, 67, 96, 79, 108, 87, 116, 77, 106, 65, 94, 73, 102, 85, 114, 76, 105, 64, 93)
	L = (1, 62)(2, 65)(3, 71)(4, 63)(5, 74)(6, 75)(7, 59)(8, 69)(9, 73)(10, 77)(11, 60)(12, 83)(13, 72)(14, 86)(15, 61)(16, 67)(17, 66)(18, 82)(19, 64)(20, 81)(21, 85)(22, 87)(23, 68)(24, 78)(25, 84)(26, 80)(27, 70)(28, 79)(29, 76)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.127
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.244 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, (Y1^-1, Y3^-1), (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), (Y2^-1, Y3^-1), (R * Y2)^2, Y3 * Y1^2 * Y2^-2, Y2 * Y1 * Y2^2 * Y1, Y2 * Y1 * Y3^3, Y1^2 * Y3^-1 * Y1 * Y3^-1, Y1^-1 * Y3 * Y2^-1 * Y3^2 * Y2^-1, Y3^-1 * Y2^-2 * Y1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 17, 46, 24, 53, 27, 56, 29, 58, 19, 48, 15, 44, 3, 32, 9, 38, 23, 52, 22, 51, 7, 36, 12, 41, 18, 47, 4, 33, 10, 39, 13, 42, 21, 50, 6, 35, 11, 40, 16, 45, 26, 55, 28, 57, 14, 43, 25, 54, 20, 49, 5, 34)(59, 88, 61, 90, 71, 100, 78, 107, 77, 106, 62, 91, 72, 101, 85, 114, 70, 99, 84, 113, 75, 104, 80, 109, 69, 98, 60, 89, 67, 96, 79, 108, 63, 92, 73, 102, 68, 97, 83, 112, 87, 116, 76, 105, 86, 115, 82, 111, 65, 94, 74, 103, 66, 95, 81, 110, 64, 93)
	L = (1, 62)(2, 68)(3, 72)(4, 75)(5, 76)(6, 77)(7, 59)(8, 71)(9, 83)(10, 82)(11, 73)(12, 60)(13, 85)(14, 80)(15, 86)(16, 61)(17, 79)(18, 66)(19, 84)(20, 70)(21, 87)(22, 63)(23, 78)(24, 64)(25, 65)(26, 67)(27, 69)(28, 81)(29, 74)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.211
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.245 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, (Y1, Y2^-1), (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y3), (R * Y2)^2, Y1 * Y3 * Y1^2 * Y3, Y2 * Y1 * Y2 * Y1 * Y3^-1, Y3^-3 * Y1 * Y2^-1, Y1 * Y2^-1 * Y1 * Y2^-2, Y3^-1 * Y2^-1 * Y1^4, Y3 * Y2^-1 * Y3^2 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 25, 54, 14, 43, 26, 55, 29, 58, 16, 45, 21, 50, 6, 35, 11, 40, 13, 42, 18, 47, 4, 33, 10, 39, 22, 51, 7, 36, 12, 41, 23, 52, 15, 44, 3, 32, 9, 38, 19, 48, 27, 56, 28, 57, 24, 53, 17, 46, 20, 49, 5, 34)(59, 88, 61, 90, 71, 100, 66, 95, 77, 106, 62, 91, 72, 101, 86, 115, 80, 109, 87, 116, 75, 104, 70, 99, 79, 108, 63, 92, 73, 102, 69, 98, 60, 89, 67, 96, 76, 105, 83, 112, 85, 114, 68, 97, 84, 113, 82, 111, 65, 94, 74, 103, 78, 107, 81, 110, 64, 93)
	L = (1, 62)(2, 68)(3, 72)(4, 75)(5, 76)(6, 77)(7, 59)(8, 80)(9, 84)(10, 78)(11, 85)(12, 60)(13, 86)(14, 70)(15, 83)(16, 61)(17, 69)(18, 82)(19, 87)(20, 71)(21, 67)(22, 63)(23, 66)(24, 64)(25, 65)(26, 81)(27, 74)(28, 79)(29, 73)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.203
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.246 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-2, (Y3^-1, Y2^-1), (Y3^-1, Y2), Y3^3 * Y1, (R * Y2)^2, (R * Y1)^2, (Y3^-1, Y2^-1), (R * Y3)^2, Y2 * Y3^-1 * Y2^4, Y3^-2 * Y2^-2 * Y1 * Y2^-2, Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 6, 35, 9, 38, 18, 47, 21, 50, 26, 55, 27, 56, 14, 43, 15, 44, 7, 36, 10, 39, 19, 48, 22, 51, 29, 58, 24, 53, 28, 57, 12, 41, 16, 45, 4, 33, 8, 37, 17, 46, 20, 49, 23, 52, 25, 54, 11, 40, 13, 42, 3, 32, 5, 34)(59, 88, 61, 90, 69, 98, 81, 110, 75, 104, 62, 91, 70, 99, 82, 111, 80, 109, 68, 97, 73, 102, 85, 114, 79, 108, 67, 96, 60, 89, 63, 92, 71, 100, 83, 112, 78, 107, 66, 95, 74, 103, 86, 115, 87, 116, 77, 106, 65, 94, 72, 101, 84, 113, 76, 105, 64, 93)
	L = (1, 62)(2, 66)(3, 70)(4, 73)(5, 74)(6, 75)(7, 59)(8, 65)(9, 78)(10, 60)(11, 82)(12, 85)(13, 86)(14, 61)(15, 63)(16, 72)(17, 68)(18, 81)(19, 64)(20, 77)(21, 83)(22, 67)(23, 80)(24, 79)(25, 87)(26, 69)(27, 71)(28, 84)(29, 76)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.226
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.247 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^2, Y3^-2 * Y1 * Y3^-1, Y3 * Y1^-1 * Y3^2, (R * Y3)^2, (Y1^-1, Y3^-1), (R * Y2)^2, (Y3, Y2), (R * Y1)^2, Y3 * Y2 * Y3 * Y2^-1 * Y1^-1 * Y3, Y3^-1 * Y2^5, Y2 * Y3^-1 * Y1 * Y2^3 * Y1 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 3, 32, 8, 37, 11, 40, 20, 49, 23, 52, 26, 55, 15, 44, 14, 43, 4, 33, 9, 38, 12, 41, 21, 50, 24, 53, 29, 58, 28, 57, 19, 48, 17, 46, 7, 36, 10, 39, 13, 42, 22, 51, 25, 54, 27, 56, 18, 47, 16, 45, 6, 35, 5, 34)(59, 88, 61, 90, 69, 98, 81, 110, 73, 102, 62, 91, 70, 99, 82, 111, 86, 115, 75, 104, 68, 97, 80, 109, 85, 114, 74, 103, 63, 92, 60, 89, 66, 95, 78, 107, 84, 113, 72, 101, 67, 96, 79, 108, 87, 116, 77, 106, 65, 94, 71, 100, 83, 112, 76, 105, 64, 93)
	L = (1, 62)(2, 67)(3, 70)(4, 68)(5, 72)(6, 73)(7, 59)(8, 79)(9, 71)(10, 60)(11, 82)(12, 80)(13, 61)(14, 65)(15, 75)(16, 84)(17, 63)(18, 81)(19, 64)(20, 87)(21, 83)(22, 66)(23, 86)(24, 85)(25, 69)(26, 77)(27, 78)(28, 74)(29, 76)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.261
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.248 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2 * Y3, Y1^-1 * Y3 * Y2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2^-4, Y1 * Y3^5, Y1^-6 * Y3^-1, Y2 * Y3^-2 * Y2 * Y1^3, Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-2, (Y3 * Y2^-1)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 20, 49, 29, 58, 17, 46, 7, 36, 3, 32, 9, 38, 21, 50, 27, 56, 26, 55, 19, 48, 12, 41, 11, 40, 18, 47, 14, 43, 13, 42, 23, 52, 25, 54, 24, 53, 16, 45, 6, 35, 4, 33, 10, 39, 22, 51, 28, 57, 15, 44, 5, 34)(59, 88, 61, 90, 69, 98, 74, 103, 63, 92, 65, 94, 70, 99, 82, 111, 73, 102, 75, 104, 77, 106, 83, 112, 86, 115, 87, 116, 84, 113, 81, 110, 80, 109, 78, 107, 85, 114, 71, 100, 68, 97, 66, 95, 79, 108, 72, 101, 62, 91, 60, 89, 67, 96, 76, 105, 64, 93)
	L = (1, 62)(2, 68)(3, 60)(4, 71)(5, 64)(6, 72)(7, 59)(8, 80)(9, 66)(10, 81)(11, 67)(12, 61)(13, 84)(14, 85)(15, 74)(16, 76)(17, 63)(18, 79)(19, 65)(20, 86)(21, 78)(22, 83)(23, 77)(24, 69)(25, 70)(26, 75)(27, 87)(28, 82)(29, 73)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.235
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.249 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1, Y3^-1), (Y3, Y1), (Y2, Y1^-1), Y1^-1 * Y2^-1 * Y3 * Y2^-1, (R * Y1)^2, Y2^2 * Y1 * Y3^-1, Y3 * Y2^-2 * Y1^-1, (R * Y3)^2, (R * Y2)^2, Y1^3 * Y2^-1 * Y1, Y3^-3 * Y1^-2, Y3 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y3, Y3^2 * Y2^3 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 15, 44, 3, 32, 9, 38, 22, 51, 27, 56, 13, 42, 4, 33, 10, 39, 21, 50, 26, 55, 14, 43, 24, 53, 29, 58, 20, 49, 25, 54, 17, 46, 19, 48, 7, 36, 12, 41, 23, 52, 28, 57, 16, 45, 6, 35, 11, 40, 18, 47, 5, 34)(59, 88, 61, 90, 71, 100, 84, 113, 78, 107, 65, 94, 74, 103, 63, 92, 73, 102, 85, 114, 79, 108, 87, 116, 77, 106, 86, 115, 76, 105, 66, 95, 80, 109, 68, 97, 82, 111, 75, 104, 81, 110, 69, 98, 60, 89, 67, 96, 62, 91, 72, 101, 83, 112, 70, 99, 64, 93)
	L = (1, 62)(2, 68)(3, 72)(4, 75)(5, 71)(6, 67)(7, 59)(8, 79)(9, 82)(10, 77)(11, 80)(12, 60)(13, 83)(14, 81)(15, 84)(16, 61)(17, 76)(18, 85)(19, 63)(20, 64)(21, 65)(22, 87)(23, 66)(24, 86)(25, 69)(26, 70)(27, 78)(28, 73)(29, 74)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.185
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.250 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, (Y1^-1, Y2^-1), Y3^-1 * Y2^-1 * Y1 * Y3^-1, (Y1^-1, Y3^-1), (R * Y2)^2, (Y3^-1, Y2^-1), (R * Y1)^2, (R * Y3)^2, Y1^2 * Y2^-1 * Y1 * Y2^-1, Y3 * Y1 * Y2^-1 * Y3 * Y1, Y1 * Y2 * Y3^-1 * Y2^3 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 13, 42, 24, 53, 28, 57, 16, 45, 4, 33, 10, 39, 15, 44, 25, 54, 29, 58, 19, 48, 6, 35, 11, 40, 14, 43, 3, 32, 9, 38, 22, 51, 26, 55, 17, 46, 20, 49, 7, 36, 12, 41, 23, 52, 27, 56, 21, 50, 18, 47, 5, 34)(59, 88, 61, 90, 71, 100, 84, 113, 74, 103, 65, 94, 73, 102, 85, 114, 77, 106, 63, 92, 72, 101, 66, 95, 80, 109, 86, 115, 78, 107, 68, 97, 81, 110, 87, 116, 76, 105, 69, 98, 60, 89, 67, 96, 82, 111, 75, 104, 62, 91, 70, 99, 83, 112, 79, 108, 64, 93)
	L = (1, 62)(2, 68)(3, 70)(4, 69)(5, 74)(6, 75)(7, 59)(8, 73)(9, 81)(10, 72)(11, 78)(12, 60)(13, 83)(14, 65)(15, 61)(16, 64)(17, 76)(18, 86)(19, 84)(20, 63)(21, 82)(22, 85)(23, 66)(24, 87)(25, 67)(26, 79)(27, 71)(28, 77)(29, 80)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.140
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.251 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^2, Y1 * Y2 * Y1^2, Y1^-3 * Y2^-1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2, Y3), Y2 * Y1^-1 * Y2^-2 * Y1 * Y2, Y2^3 * Y3 * Y2^2, Y1 * Y2^-1 * Y3 * Y1 * Y3 * Y2^2, (Y2^-1 * Y3)^29, (Y3^-1 * Y1^-1)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 6, 35, 11, 40, 20, 49, 18, 47, 23, 52, 27, 56, 25, 54, 28, 57, 15, 44, 13, 42, 17, 46, 7, 36, 4, 33, 10, 39, 19, 48, 16, 45, 22, 51, 24, 53, 29, 58, 26, 55, 12, 41, 21, 50, 14, 43, 3, 32, 9, 38, 5, 34)(59, 88, 61, 90, 70, 99, 82, 111, 77, 106, 65, 94, 73, 102, 85, 114, 78, 107, 66, 95, 63, 92, 72, 101, 84, 113, 80, 109, 68, 97, 75, 104, 86, 115, 81, 110, 69, 98, 60, 89, 67, 96, 79, 108, 87, 116, 74, 103, 62, 91, 71, 100, 83, 112, 76, 105, 64, 93)
	L = (1, 62)(2, 68)(3, 71)(4, 60)(5, 65)(6, 74)(7, 59)(8, 77)(9, 75)(10, 66)(11, 80)(12, 83)(13, 67)(14, 73)(15, 61)(16, 69)(17, 63)(18, 87)(19, 64)(20, 82)(21, 86)(22, 78)(23, 84)(24, 76)(25, 79)(26, 85)(27, 70)(28, 72)(29, 81)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.201
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.252 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, (Y3, Y2^-1), Y3^-1 * Y1 * Y2 * Y3^-1, (R * Y3)^2, Y3^2 * Y1^-1 * Y2^-1, (R * Y2)^2, Y1 * Y3^-1 * Y2 * Y3^-1, (R * Y1)^2, Y1^3 * Y3^-1 * Y2^-1, Y2^-1 * Y3^-1 * Y2^-4, Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1, Y3^2 * Y2 * Y3^2 * Y2 * Y1, Y1^2 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 14, 43, 24, 53, 25, 54, 27, 56, 18, 47, 6, 35, 11, 40, 16, 45, 4, 33, 10, 39, 13, 42, 23, 52, 28, 57, 20, 49, 19, 48, 7, 36, 12, 41, 15, 44, 3, 32, 9, 38, 22, 51, 26, 55, 29, 58, 21, 50, 17, 46, 5, 34)(59, 88, 61, 90, 71, 100, 83, 112, 79, 108, 65, 94, 74, 103, 66, 95, 80, 109, 86, 115, 76, 105, 63, 92, 73, 102, 68, 97, 82, 111, 87, 116, 77, 106, 69, 98, 60, 89, 67, 96, 81, 110, 85, 114, 75, 104, 70, 99, 62, 91, 72, 101, 84, 113, 78, 107, 64, 93)
	L = (1, 62)(2, 68)(3, 72)(4, 67)(5, 74)(6, 70)(7, 59)(8, 71)(9, 82)(10, 80)(11, 73)(12, 60)(13, 84)(14, 81)(15, 66)(16, 61)(17, 69)(18, 65)(19, 63)(20, 75)(21, 64)(22, 83)(23, 87)(24, 86)(25, 78)(26, 85)(27, 77)(28, 79)(29, 76)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.172
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.253 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y2^-1, Y3^3 * Y1^-1, (Y3, Y1), Y3^2 * Y1^-1 * Y3, (R * Y1)^2, (Y3^-1, Y2), (R * Y2)^2, (R * Y3)^2, Y3^-1 * Y1^-1 * Y3^-2 * Y2^-1, Y3^-1 * Y2^-5, Y3 * Y1 * Y2^-1 * Y3^2 * Y2^2, Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1, (Y1^-1 * Y3^-1)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 6, 35, 9, 38, 18, 47, 21, 50, 24, 53, 27, 56, 12, 41, 15, 44, 4, 33, 8, 37, 16, 45, 20, 49, 29, 58, 26, 55, 28, 57, 14, 43, 17, 46, 7, 36, 10, 39, 19, 48, 22, 51, 23, 52, 25, 54, 11, 40, 13, 42, 3, 32, 5, 34)(59, 88, 61, 90, 69, 98, 81, 110, 77, 106, 65, 94, 72, 101, 84, 113, 78, 107, 66, 95, 73, 102, 85, 114, 79, 108, 67, 96, 60, 89, 63, 92, 71, 100, 83, 112, 80, 109, 68, 97, 75, 104, 86, 115, 87, 116, 74, 103, 62, 91, 70, 99, 82, 111, 76, 105, 64, 93)
	L = (1, 62)(2, 66)(3, 70)(4, 68)(5, 73)(6, 74)(7, 59)(8, 77)(9, 78)(10, 60)(11, 82)(12, 75)(13, 85)(14, 61)(15, 65)(16, 80)(17, 63)(18, 87)(19, 64)(20, 81)(21, 84)(22, 67)(23, 76)(24, 86)(25, 79)(26, 69)(27, 72)(28, 71)(29, 83)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.236
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.254 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^2, Y3 * Y1 * Y3^2, Y3^3 * Y1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y3^-1, Y2^-1), Y1 * Y3^-2 * Y2^-1 * Y3^-1, Y3^-1 * Y2^-1 * Y1^-1 * Y3^-2 * Y2, Y2 * Y3 * Y2^4, Y3^-2 * Y2^-1 * Y1^-1 * Y3^-1 * Y2, Y2^-2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 3, 32, 8, 37, 11, 40, 20, 49, 23, 52, 26, 55, 19, 48, 14, 43, 7, 36, 10, 39, 13, 42, 22, 51, 25, 54, 28, 57, 27, 56, 16, 45, 15, 44, 4, 33, 9, 38, 12, 41, 21, 50, 24, 53, 29, 58, 18, 47, 17, 46, 6, 35, 5, 34)(59, 88, 61, 90, 69, 98, 81, 110, 77, 106, 65, 94, 71, 100, 83, 112, 85, 114, 73, 102, 67, 96, 79, 108, 87, 116, 75, 104, 63, 92, 60, 89, 66, 95, 78, 107, 84, 113, 72, 101, 68, 97, 80, 109, 86, 115, 74, 103, 62, 91, 70, 99, 82, 111, 76, 105, 64, 93)
	L = (1, 62)(2, 67)(3, 70)(4, 72)(5, 73)(6, 74)(7, 59)(8, 79)(9, 65)(10, 60)(11, 82)(12, 68)(13, 61)(14, 63)(15, 77)(16, 84)(17, 85)(18, 86)(19, 64)(20, 87)(21, 71)(22, 66)(23, 76)(24, 80)(25, 69)(26, 75)(27, 81)(28, 78)(29, 83)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.181
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.255 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1, Y1^-1), (R * Y2)^2, (Y3^-1, Y1), (R * Y1)^2, (R * Y3)^2, (Y3, Y2), Y2^-1 * Y3^-1 * Y1 * Y2^-2, Y3^-1 * Y2^-2 * Y1 * Y2^-1, Y2^-1 * Y1^-3 * Y2^-1, Y1 * Y3^-1 * Y1 * Y3^-2, Y3^2 * Y1^2 * Y2^-1, Y3^-1 * Y1^-1 * Y2^-1 * Y3^-2 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 23, 52, 14, 43, 26, 55, 28, 57, 19, 48, 22, 51, 7, 36, 12, 41, 17, 46, 15, 44, 3, 32, 9, 38, 21, 50, 6, 35, 11, 40, 25, 54, 18, 47, 4, 33, 10, 39, 16, 45, 27, 56, 29, 58, 24, 53, 13, 42, 20, 49, 5, 34)(59, 88, 61, 90, 71, 100, 70, 99, 85, 114, 77, 106, 62, 91, 72, 101, 69, 98, 60, 89, 67, 96, 78, 107, 75, 104, 87, 116, 80, 109, 68, 97, 84, 113, 83, 112, 66, 95, 79, 108, 63, 92, 73, 102, 82, 111, 65, 94, 74, 103, 86, 115, 76, 105, 81, 110, 64, 93)
	L = (1, 62)(2, 68)(3, 72)(4, 75)(5, 76)(6, 77)(7, 59)(8, 74)(9, 84)(10, 73)(11, 80)(12, 60)(13, 69)(14, 87)(15, 81)(16, 61)(17, 66)(18, 70)(19, 78)(20, 83)(21, 86)(22, 63)(23, 85)(24, 64)(25, 65)(26, 82)(27, 67)(28, 71)(29, 79)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.137
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.256 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1, Y1^-1), Y2 * Y1^-3, (R * Y2)^2, (Y2^-1, Y3), (R * Y1)^2, (Y1^-1, Y3), (R * Y3)^2, Y3 * Y1 * Y2 * Y3^2, Y2 * Y1 * Y2 * Y3^-2, Y3 * Y1 * Y3^2 * Y2, Y2^3 * Y1^-1 * Y2 * Y3, Y1 * Y3^-2 * Y1 * Y3^-1 * Y2^-2, Y3 * Y2^-25 * Y1^-1, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 3, 32, 9, 38, 24, 53, 13, 42, 16, 45, 22, 51, 29, 58, 20, 49, 7, 36, 12, 41, 26, 55, 15, 44, 18, 47, 27, 56, 17, 46, 4, 33, 10, 39, 25, 54, 14, 43, 23, 52, 21, 50, 28, 57, 19, 48, 6, 35, 11, 40, 5, 34)(59, 88, 61, 90, 71, 100, 87, 116, 70, 99, 76, 105, 62, 91, 72, 101, 86, 115, 69, 98, 60, 89, 67, 96, 74, 103, 78, 107, 84, 113, 85, 114, 68, 97, 81, 110, 77, 106, 63, 92, 66, 95, 82, 111, 80, 109, 65, 94, 73, 102, 75, 104, 83, 112, 79, 108, 64, 93)
	L = (1, 62)(2, 68)(3, 72)(4, 74)(5, 75)(6, 76)(7, 59)(8, 83)(9, 81)(10, 80)(11, 85)(12, 60)(13, 86)(14, 78)(15, 61)(16, 77)(17, 71)(18, 67)(19, 73)(20, 63)(21, 70)(22, 64)(23, 65)(24, 79)(25, 87)(26, 66)(27, 82)(28, 84)(29, 69)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.195
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.257 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1 * Y1^-1 * Y2^-1, Y1 * Y3^-2 * Y2, Y3^-1 * Y2 * Y3^-1 * Y1, Y3^-1 * Y1^-2 * Y2^-1, (R * Y3)^2, (Y1^-1, Y2), (R * Y1)^2, (R * Y2)^2, Y2^-1 * Y1 * Y3 * Y2^2 * Y1, Y2 * Y1^-1 * Y2 * Y3 * Y2^3, Y2^-1 * Y3^-1 * Y1^27 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 18, 47, 28, 57, 27, 56, 24, 53, 15, 44, 3, 32, 9, 38, 7, 36, 12, 41, 20, 49, 17, 46, 22, 51, 25, 54, 13, 42, 21, 50, 16, 45, 4, 33, 10, 39, 6, 35, 11, 40, 19, 48, 23, 52, 29, 58, 26, 55, 14, 43, 5, 34)(59, 88, 61, 90, 71, 100, 81, 110, 76, 105, 70, 99, 62, 91, 72, 101, 82, 111, 80, 109, 69, 98, 60, 89, 67, 96, 79, 108, 87, 116, 86, 115, 78, 107, 68, 97, 63, 92, 73, 102, 83, 112, 77, 106, 66, 95, 65, 94, 74, 103, 84, 113, 85, 114, 75, 104, 64, 93)
	L = (1, 62)(2, 68)(3, 72)(4, 67)(5, 74)(6, 70)(7, 59)(8, 64)(9, 63)(10, 65)(11, 78)(12, 60)(13, 82)(14, 79)(15, 84)(16, 61)(17, 76)(18, 69)(19, 75)(20, 66)(21, 73)(22, 86)(23, 80)(24, 87)(25, 85)(26, 71)(27, 81)(28, 77)(29, 83)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.270
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.258 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^2, (Y3^-1, Y1^-1), (R * Y3)^2, (Y3, Y2^-1), (R * Y2)^2, (R * Y1)^2, Y1 * Y2^-1 * Y3^-2 * Y2^-1, Y3^-1 * Y1 * Y3^-1 * Y2^-2, Y3^3 * Y2^-1 * Y3^2, Y2^5 * Y3^-1 * Y2, Y3^-2 * Y2^-1 * Y3^-3 * Y2^-1 * Y3^-3 * Y2^-1 * Y3^-3 * Y2^-1 * Y3^-3 * Y2^-1 * Y3^-3 * Y2^-1 * Y3^-3 * Y2^-1 * Y3^-3 * Y2^-1 * Y3^-3 * Y2^-1 * Y3^-3 * Y2^-1 * Y3^-3 * Y2^-1 * Y3^-3 * Y2^-1 * Y3^-3 * Y2^-1 * Y3^-1 * Y1^-1, (Y1^-1 * Y3^-1)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 6, 35, 9, 38, 19, 48, 15, 44, 22, 51, 28, 57, 25, 54, 26, 55, 14, 43, 18, 47, 7, 36, 10, 39, 20, 49, 12, 41, 16, 45, 4, 33, 8, 37, 17, 46, 23, 52, 29, 58, 27, 56, 24, 53, 21, 50, 11, 40, 13, 42, 3, 32, 5, 34)(59, 88, 61, 90, 69, 98, 82, 111, 87, 116, 75, 104, 62, 91, 70, 99, 68, 97, 76, 105, 84, 113, 86, 115, 73, 102, 67, 96, 60, 89, 63, 92, 71, 100, 79, 108, 85, 114, 81, 110, 66, 95, 74, 103, 78, 107, 65, 94, 72, 101, 83, 112, 80, 109, 77, 106, 64, 93)
	L = (1, 62)(2, 66)(3, 70)(4, 73)(5, 74)(6, 75)(7, 59)(8, 80)(9, 81)(10, 60)(11, 68)(12, 67)(13, 78)(14, 61)(15, 85)(16, 77)(17, 86)(18, 63)(19, 87)(20, 64)(21, 65)(22, 82)(23, 83)(24, 76)(25, 69)(26, 71)(27, 72)(28, 79)(29, 84)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.168
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.259 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y2, (R * Y1)^2, (Y3, Y1^-1), (R * Y3)^2, (R * Y2)^2, (Y3, Y2^-1), Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y3^-5 * Y2, Y2^6 * Y3^-1, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 3, 32, 8, 37, 11, 40, 21, 50, 23, 52, 25, 54, 29, 58, 28, 57, 16, 45, 15, 44, 4, 33, 9, 38, 12, 41, 20, 49, 18, 47, 7, 36, 10, 39, 13, 42, 22, 51, 24, 53, 27, 56, 26, 55, 14, 43, 19, 48, 17, 46, 6, 35, 5, 34)(59, 88, 61, 90, 69, 98, 81, 110, 87, 116, 74, 103, 62, 91, 70, 99, 76, 105, 68, 97, 80, 109, 85, 114, 72, 101, 75, 104, 63, 92, 60, 89, 66, 95, 79, 108, 83, 112, 86, 115, 73, 102, 67, 96, 78, 107, 65, 94, 71, 100, 82, 111, 84, 113, 77, 106, 64, 93)
	L = (1, 62)(2, 67)(3, 70)(4, 72)(5, 73)(6, 74)(7, 59)(8, 78)(9, 77)(10, 60)(11, 76)(12, 75)(13, 61)(14, 83)(15, 84)(16, 85)(17, 86)(18, 63)(19, 87)(20, 64)(21, 65)(22, 66)(23, 68)(24, 69)(25, 71)(26, 81)(27, 79)(28, 82)(29, 80)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.225
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.260 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3 * Y1^-1, (Y3, Y1), (Y1^-1, Y2^-1), Y3^-1 * Y1 * Y2^-2, Y3^-1 * Y2^-1 * Y1 * Y2^-1, (R * Y2)^2, (Y2^-1, Y3), (R * Y3)^2, (R * Y1)^2, Y1 * Y3^-1 * Y1 * Y3^-1 * Y1, Y3 * Y1 * Y3^3 * Y2^-1, Y1 * Y3 * Y1^2 * Y2^-1 * Y3 * Y1, Y2 * Y1^-7 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 15, 44, 24, 53, 26, 55, 13, 42, 3, 32, 9, 38, 17, 46, 25, 54, 29, 58, 20, 49, 7, 36, 12, 41, 16, 45, 4, 33, 10, 39, 22, 51, 27, 56, 14, 43, 19, 48, 6, 35, 11, 40, 23, 52, 28, 57, 21, 50, 18, 47, 5, 34)(59, 88, 61, 90, 70, 99, 77, 106, 63, 92, 71, 100, 65, 94, 72, 101, 76, 105, 84, 113, 78, 107, 85, 114, 79, 108, 82, 111, 87, 116, 80, 109, 86, 115, 73, 102, 83, 112, 68, 97, 81, 110, 66, 95, 75, 104, 62, 91, 69, 98, 60, 89, 67, 96, 74, 103, 64, 93)
	L = (1, 62)(2, 68)(3, 69)(4, 73)(5, 74)(6, 75)(7, 59)(8, 80)(9, 81)(10, 82)(11, 83)(12, 60)(13, 64)(14, 61)(15, 85)(16, 66)(17, 86)(18, 70)(19, 67)(20, 63)(21, 65)(22, 84)(23, 87)(24, 72)(25, 79)(26, 77)(27, 71)(28, 78)(29, 76)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.221
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.261 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2 * Y3, Y1^-1 * Y3 * Y2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^-3 * Y1^-1 * Y3^-1, Y1 * Y2^5, Y3 * Y2^-2 * Y3 * Y1^3, Y1^2 * Y2 * Y1^4, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-2, (Y3 * Y2^-1)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 20, 49, 29, 58, 16, 45, 6, 35, 4, 33, 10, 39, 22, 51, 25, 54, 24, 53, 18, 47, 14, 43, 13, 42, 19, 48, 12, 41, 11, 40, 23, 52, 27, 56, 26, 55, 17, 46, 7, 36, 3, 32, 9, 38, 21, 50, 28, 57, 15, 44, 5, 34)(59, 88, 61, 90, 69, 98, 82, 111, 74, 103, 63, 92, 65, 94, 70, 99, 83, 112, 87, 116, 73, 102, 75, 104, 77, 106, 80, 109, 78, 107, 86, 115, 84, 113, 71, 100, 68, 97, 66, 95, 79, 108, 85, 114, 72, 101, 62, 91, 60, 89, 67, 96, 81, 110, 76, 105, 64, 93)
	L = (1, 62)(2, 68)(3, 60)(4, 71)(5, 64)(6, 72)(7, 59)(8, 80)(9, 66)(10, 77)(11, 67)(12, 61)(13, 75)(14, 84)(15, 74)(16, 76)(17, 63)(18, 85)(19, 65)(20, 83)(21, 78)(22, 70)(23, 79)(24, 81)(25, 69)(26, 73)(27, 86)(28, 87)(29, 82)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.247
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.262 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3 * Y1^-1, Y1 * Y2 * Y3^-1 * Y2, (Y3, Y2^-1), (Y2^-1, Y1^-1), Y1 * Y2^2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1^-1 * Y2 * Y3^-2 * Y1^-1, Y3^-4 * Y2^-1 * Y3^-1, Y1 * Y2^-2 * Y1 * Y3 * Y2 * Y3, Y2^-2 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 20, 49, 23, 52, 28, 57, 27, 56, 13, 42, 4, 33, 10, 39, 16, 45, 6, 35, 11, 40, 21, 50, 24, 53, 26, 55, 17, 46, 15, 44, 3, 32, 9, 38, 19, 48, 7, 36, 12, 41, 22, 51, 29, 58, 25, 54, 14, 43, 18, 47, 5, 34)(59, 88, 61, 90, 71, 100, 83, 112, 82, 111, 78, 107, 65, 94, 74, 103, 63, 92, 73, 102, 85, 114, 87, 116, 79, 108, 66, 95, 77, 106, 68, 97, 76, 105, 75, 104, 86, 115, 80, 109, 69, 98, 60, 89, 67, 96, 62, 91, 72, 101, 84, 113, 81, 110, 70, 99, 64, 93)
	L = (1, 62)(2, 68)(3, 72)(4, 75)(5, 71)(6, 67)(7, 59)(8, 74)(9, 76)(10, 73)(11, 77)(12, 60)(13, 84)(14, 86)(15, 83)(16, 61)(17, 87)(18, 85)(19, 63)(20, 64)(21, 65)(22, 66)(23, 69)(24, 70)(25, 81)(26, 80)(27, 82)(28, 79)(29, 78)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.144
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.263 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1 * Y1^-2, (Y3, Y2), (Y2^-1, Y1), (R * Y2)^2, (R * Y1)^2, (Y3^-1, Y1), (R * Y3)^2, Y3^-1 * Y2^-2 * Y3^-1 * Y1, Y3^3 * Y1 * Y2^-1, Y2^-1 * Y1^-1 * Y2^-3 * Y3, Y1 * Y3^-2 * Y2^-1 * Y1 * Y3^-2 * Y2^-1 * Y1 * Y3^-1 * Y2^2, Y1^-1 * Y2^19 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 6, 35, 11, 40, 25, 54, 21, 50, 17, 46, 16, 45, 29, 58, 20, 49, 7, 36, 12, 41, 26, 55, 22, 51, 14, 43, 28, 57, 18, 47, 4, 33, 10, 39, 24, 53, 19, 48, 23, 52, 13, 42, 27, 56, 15, 44, 3, 32, 9, 38, 5, 34)(59, 88, 61, 90, 71, 100, 82, 111, 76, 105, 80, 109, 65, 94, 74, 103, 83, 112, 66, 95, 63, 92, 73, 102, 81, 110, 68, 97, 86, 115, 84, 113, 78, 107, 75, 104, 69, 98, 60, 89, 67, 96, 85, 114, 77, 106, 62, 91, 72, 101, 70, 99, 87, 116, 79, 108, 64, 93)
	L = (1, 62)(2, 68)(3, 72)(4, 75)(5, 76)(6, 77)(7, 59)(8, 82)(9, 86)(10, 74)(11, 81)(12, 60)(13, 70)(14, 69)(15, 80)(16, 61)(17, 73)(18, 79)(19, 78)(20, 63)(21, 85)(22, 64)(23, 65)(24, 87)(25, 71)(26, 66)(27, 84)(28, 83)(29, 67)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.218
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.264 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^2, (Y1^-1, Y3), (R * Y1)^2, (Y3^-1, Y2^-1), (Y3, Y1^-1), (R * Y2)^2, (R * Y3)^2, Y3 * Y1 * Y3 * Y2^-2, Y2^-1 * Y3^-5, Y2^3 * Y3 * Y2^3, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y3^2 * Y1, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 6, 35, 9, 38, 19, 48, 21, 50, 23, 52, 28, 57, 25, 54, 27, 56, 12, 41, 16, 45, 4, 33, 8, 37, 17, 46, 14, 43, 18, 47, 7, 36, 10, 39, 20, 49, 22, 51, 29, 58, 26, 55, 24, 53, 15, 44, 11, 40, 13, 42, 3, 32, 5, 34)(59, 88, 61, 90, 69, 98, 82, 111, 87, 116, 78, 107, 65, 94, 72, 101, 66, 95, 74, 103, 85, 114, 86, 115, 79, 108, 67, 96, 60, 89, 63, 92, 71, 100, 73, 102, 84, 113, 80, 109, 68, 97, 76, 105, 75, 104, 62, 91, 70, 99, 83, 112, 81, 110, 77, 106, 64, 93)
	L = (1, 62)(2, 66)(3, 70)(4, 73)(5, 74)(6, 75)(7, 59)(8, 69)(9, 72)(10, 60)(11, 83)(12, 84)(13, 85)(14, 61)(15, 86)(16, 82)(17, 71)(18, 63)(19, 76)(20, 64)(21, 65)(22, 67)(23, 68)(24, 81)(25, 80)(26, 79)(27, 87)(28, 78)(29, 77)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.123
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.265 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^2, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y2)^2, (R * Y1)^2, (Y3, Y2), Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-1, Y3^5 * Y2, Y2^6 * Y3, (Y1^-1 * Y3^-1)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 3, 32, 8, 37, 11, 40, 14, 43, 23, 52, 25, 54, 29, 58, 27, 56, 20, 49, 18, 47, 7, 36, 10, 39, 13, 42, 16, 45, 15, 44, 4, 33, 9, 38, 12, 41, 22, 51, 24, 53, 26, 55, 28, 57, 21, 50, 19, 48, 17, 46, 6, 35, 5, 34)(59, 88, 61, 90, 69, 98, 81, 110, 87, 116, 78, 107, 65, 94, 71, 100, 73, 102, 67, 96, 80, 109, 84, 113, 79, 108, 75, 104, 63, 92, 60, 89, 66, 95, 72, 101, 83, 112, 85, 114, 76, 105, 68, 97, 74, 103, 62, 91, 70, 99, 82, 111, 86, 115, 77, 106, 64, 93)
	L = (1, 62)(2, 67)(3, 70)(4, 72)(5, 73)(6, 74)(7, 59)(8, 80)(9, 81)(10, 60)(11, 82)(12, 83)(13, 61)(14, 84)(15, 69)(16, 66)(17, 71)(18, 63)(19, 68)(20, 64)(21, 65)(22, 87)(23, 86)(24, 85)(25, 79)(26, 78)(27, 75)(28, 76)(29, 77)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.192
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.266 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^2 * Y3^-1, Y1^-1 * Y3 * Y1^-1 * Y2, (Y1, Y3^-1), (R * Y2)^2, Y2 * Y1^-2 * Y3, (R * Y1)^2, (R * Y3)^2, Y1 * Y3^2 * Y1 * Y3, Y1 * Y2^2 * Y3^-1 * Y2, Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2^-1 * Y3^-1, Y2 * Y3 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 22, 51, 26, 55, 29, 58, 18, 47, 6, 35, 11, 40, 4, 33, 10, 39, 21, 50, 25, 54, 14, 43, 20, 49, 13, 42, 16, 45, 24, 53, 15, 44, 19, 48, 7, 36, 12, 41, 3, 32, 9, 38, 23, 52, 27, 56, 28, 57, 17, 46, 5, 34)(59, 88, 61, 90, 71, 100, 69, 98, 60, 89, 67, 96, 74, 103, 62, 91, 66, 95, 81, 110, 82, 111, 68, 97, 80, 109, 85, 114, 73, 102, 79, 108, 84, 113, 86, 115, 77, 106, 83, 112, 87, 116, 75, 104, 65, 94, 72, 101, 76, 105, 63, 92, 70, 99, 78, 107, 64, 93)
	L = (1, 62)(2, 68)(3, 66)(4, 73)(5, 69)(6, 74)(7, 59)(8, 79)(9, 80)(10, 77)(11, 82)(12, 60)(13, 81)(14, 61)(15, 75)(16, 85)(17, 64)(18, 71)(19, 63)(20, 67)(21, 65)(22, 83)(23, 84)(24, 86)(25, 70)(26, 72)(27, 87)(28, 76)(29, 78)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.178
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.267 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1, Y1), (Y1, Y3^-1), Y2^-1 * Y1^-1 * Y3 * Y2^-1, Y3 * Y1^-1 * Y2^-2, (Y2^-1, Y3^-1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3^4 * Y2, Y3^2 * Y1^3, Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y2^-1, Y2^22 * Y3, Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 21, 50, 27, 56, 15, 44, 3, 32, 9, 38, 22, 51, 29, 58, 20, 49, 26, 55, 13, 42, 4, 33, 10, 39, 19, 48, 7, 36, 12, 41, 24, 53, 14, 43, 25, 54, 28, 57, 16, 45, 6, 35, 11, 40, 23, 52, 17, 46, 18, 47, 5, 34)(59, 88, 61, 90, 71, 100, 82, 111, 69, 98, 60, 89, 67, 96, 62, 91, 72, 101, 81, 110, 66, 95, 80, 109, 68, 97, 83, 112, 75, 104, 79, 108, 87, 116, 77, 106, 86, 115, 76, 105, 85, 114, 78, 107, 65, 94, 74, 103, 63, 92, 73, 102, 84, 113, 70, 99, 64, 93)
	L = (1, 62)(2, 68)(3, 72)(4, 75)(5, 71)(6, 67)(7, 59)(8, 77)(9, 83)(10, 76)(11, 80)(12, 60)(13, 81)(14, 79)(15, 82)(16, 61)(17, 78)(18, 84)(19, 63)(20, 64)(21, 65)(22, 86)(23, 87)(24, 66)(25, 85)(26, 69)(27, 70)(28, 73)(29, 74)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.202
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.268 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2 * Y3, Y1^-1 * Y3 * Y2, Y3^3 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1^2 * Y3 * Y2^-1 * Y3, Y1^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^2 * Y3^-1, Y3 * Y2^-7, Y1^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 18, 47, 21, 50, 28, 57, 24, 53, 17, 46, 14, 43, 13, 42, 7, 36, 3, 32, 9, 38, 19, 48, 26, 55, 29, 58, 23, 52, 16, 45, 6, 35, 4, 33, 10, 39, 12, 41, 11, 40, 20, 49, 27, 56, 25, 54, 22, 51, 15, 44, 5, 34)(59, 88, 61, 90, 69, 98, 79, 108, 87, 116, 80, 109, 72, 101, 62, 91, 60, 89, 67, 96, 78, 107, 86, 115, 81, 110, 73, 102, 71, 100, 68, 97, 66, 95, 77, 106, 85, 114, 82, 111, 74, 103, 63, 92, 65, 94, 70, 99, 76, 105, 84, 113, 83, 112, 75, 104, 64, 93)
	L = (1, 62)(2, 68)(3, 60)(4, 71)(5, 64)(6, 72)(7, 59)(8, 70)(9, 66)(10, 65)(11, 67)(12, 61)(13, 63)(14, 73)(15, 74)(16, 75)(17, 80)(18, 69)(19, 76)(20, 77)(21, 78)(22, 81)(23, 82)(24, 83)(25, 87)(26, 79)(27, 84)(28, 85)(29, 86)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.141
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.269 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, (Y3, Y1^-1), Y2^-1 * Y1^3, (Y1, Y2), (R * Y1)^2, (R * Y3)^2, (Y3, Y2^-1), (R * Y2)^2, Y3^4 * Y2, Y3 * Y2 * Y1^-1 * Y2^2, Y3^-1 * Y2 * Y1 * Y3^-1 * Y1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 3, 32, 9, 38, 22, 51, 13, 42, 20, 49, 7, 36, 12, 41, 24, 53, 15, 44, 25, 54, 16, 45, 26, 55, 29, 58, 23, 52, 28, 57, 18, 47, 27, 56, 17, 46, 4, 33, 10, 39, 21, 50, 14, 43, 19, 48, 6, 35, 11, 40, 5, 34)(59, 88, 61, 90, 71, 100, 70, 99, 83, 112, 87, 116, 76, 105, 62, 91, 72, 101, 69, 98, 60, 89, 67, 96, 78, 107, 82, 111, 74, 103, 81, 110, 85, 114, 68, 97, 77, 106, 63, 92, 66, 95, 80, 109, 65, 94, 73, 102, 84, 113, 86, 115, 75, 104, 79, 108, 64, 93)
	L = (1, 62)(2, 68)(3, 72)(4, 74)(5, 75)(6, 76)(7, 59)(8, 79)(9, 77)(10, 84)(11, 85)(12, 60)(13, 69)(14, 81)(15, 61)(16, 80)(17, 83)(18, 82)(19, 86)(20, 63)(21, 87)(22, 64)(23, 65)(24, 66)(25, 67)(26, 71)(27, 73)(28, 70)(29, 78)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.217
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.270 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1 * Y3, Y2 * Y1^2, Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^-1 * Y2^-3 * Y3 * Y2^3, Y3 * Y2^-7, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y3 * Y2 * Y1^-1 * Y2, (Y3 * Y2^-1)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 6, 35, 9, 38, 15, 44, 17, 46, 23, 52, 25, 54, 29, 58, 27, 56, 21, 50, 19, 48, 13, 42, 11, 40, 7, 36, 4, 33, 8, 37, 14, 43, 16, 45, 22, 51, 24, 53, 26, 55, 28, 57, 18, 47, 20, 49, 10, 39, 12, 41, 3, 32, 5, 34)(59, 88, 61, 90, 68, 97, 76, 105, 84, 113, 80, 109, 72, 101, 62, 91, 69, 98, 77, 106, 85, 114, 83, 112, 75, 104, 67, 96, 60, 89, 63, 92, 70, 99, 78, 107, 86, 115, 82, 111, 74, 103, 66, 95, 65, 94, 71, 100, 79, 108, 87, 116, 81, 110, 73, 102, 64, 93)
	L = (1, 62)(2, 66)(3, 69)(4, 60)(5, 65)(6, 72)(7, 59)(8, 64)(9, 74)(10, 77)(11, 63)(12, 71)(13, 61)(14, 67)(15, 80)(16, 73)(17, 82)(18, 85)(19, 70)(20, 79)(21, 68)(22, 75)(23, 84)(24, 81)(25, 86)(26, 83)(27, 78)(28, 87)(29, 76)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.257
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.271 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^2, Y1^-2 * Y2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y2 * Y3 * Y1^-1, Y3 * Y2^-7, (Y3 * Y2^-1)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 3, 32, 8, 37, 10, 39, 16, 45, 18, 47, 24, 53, 26, 55, 28, 57, 21, 50, 20, 49, 13, 42, 12, 41, 4, 33, 7, 36, 9, 38, 11, 40, 17, 46, 19, 48, 25, 54, 27, 56, 29, 58, 23, 52, 22, 51, 15, 44, 14, 43, 6, 35, 5, 34)(59, 88, 61, 90, 68, 97, 76, 105, 84, 113, 79, 108, 71, 100, 62, 91, 67, 96, 75, 104, 83, 112, 87, 116, 80, 109, 72, 101, 63, 92, 60, 89, 66, 95, 74, 103, 82, 111, 86, 115, 78, 107, 70, 99, 65, 94, 69, 98, 77, 106, 85, 114, 81, 110, 73, 102, 64, 93)
	L = (1, 62)(2, 65)(3, 67)(4, 63)(5, 70)(6, 71)(7, 59)(8, 69)(9, 60)(10, 75)(11, 61)(12, 64)(13, 72)(14, 78)(15, 79)(16, 77)(17, 66)(18, 83)(19, 68)(20, 73)(21, 80)(22, 86)(23, 84)(24, 85)(25, 74)(26, 87)(27, 76)(28, 81)(29, 82)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.126
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.272 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3^-1 * Y1, Y2^-2 * Y1 * Y3^-1, Y2^-1 * Y1 * Y2^-1 * Y3^-1, (Y1, Y2^-1), (R * Y1)^2, (Y3, Y1), (R * Y3)^2, (R * Y2)^2, Y3^2 * Y1^3, Y3 * Y2^-1 * Y3^3, Y1^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y1^-1, Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y3^-1, Y2 * Y3^-1 * Y1^-1 * Y2 * Y3^-1 * Y1^-1 * Y2 * Y3^-1 * Y1^-1 * Y2 * Y3^-1 * Y1^-1 * Y2 * Y3^-1 * Y1^-1 * Y2 * Y3^-1 * Y1^-1 * Y2 * Y3^-1 * Y2, Y1 * Y3^-1 * Y2^27 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 21, 50, 27, 56, 19, 48, 6, 35, 11, 40, 23, 52, 29, 58, 14, 43, 25, 54, 16, 45, 4, 33, 10, 39, 20, 49, 7, 36, 12, 41, 24, 53, 17, 46, 26, 55, 28, 57, 13, 42, 3, 32, 9, 38, 22, 51, 15, 44, 18, 47, 5, 34)(59, 88, 61, 90, 70, 99, 83, 112, 77, 106, 63, 92, 71, 100, 65, 94, 72, 101, 85, 114, 76, 105, 86, 115, 78, 107, 87, 116, 79, 108, 73, 102, 84, 113, 68, 97, 81, 110, 66, 95, 80, 109, 75, 104, 62, 91, 69, 98, 60, 89, 67, 96, 82, 111, 74, 103, 64, 93)
	L = (1, 62)(2, 68)(3, 69)(4, 73)(5, 74)(6, 75)(7, 59)(8, 78)(9, 81)(10, 76)(11, 84)(12, 60)(13, 64)(14, 61)(15, 72)(16, 80)(17, 79)(18, 83)(19, 82)(20, 63)(21, 65)(22, 87)(23, 86)(24, 66)(25, 67)(26, 85)(27, 70)(28, 77)(29, 71)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.184
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.273 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^3, (Y1, Y2), (R * Y2)^2, (R * Y1)^2, (Y2, Y3), (R * Y3)^2, Y2^3 * Y1 * Y3^-1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y3^-1, Y1^-2 * Y3^2 * Y2^-1 * Y1^-1, Y1 * Y2 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 24, 53, 23, 52, 15, 44, 3, 32, 9, 38, 25, 54, 17, 46, 7, 36, 12, 41, 13, 42, 19, 48, 28, 57, 29, 58, 16, 45, 22, 51, 18, 47, 4, 33, 10, 39, 26, 55, 21, 50, 6, 35, 11, 40, 14, 43, 27, 56, 20, 49, 5, 34)(59, 88, 61, 90, 71, 100, 76, 105, 69, 98, 60, 89, 67, 96, 77, 106, 62, 91, 72, 101, 66, 95, 83, 112, 86, 115, 68, 97, 85, 114, 82, 111, 75, 104, 87, 116, 84, 113, 78, 107, 81, 110, 65, 94, 74, 103, 79, 108, 63, 92, 73, 102, 70, 99, 80, 109, 64, 93)
	L = (1, 62)(2, 68)(3, 72)(4, 75)(5, 76)(6, 77)(7, 59)(8, 84)(9, 85)(10, 65)(11, 86)(12, 60)(13, 66)(14, 87)(15, 69)(16, 61)(17, 63)(18, 83)(19, 82)(20, 80)(21, 71)(22, 67)(23, 64)(24, 79)(25, 78)(26, 70)(27, 74)(28, 81)(29, 73)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.205
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.274 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, (Y3, Y1^-1), Y3^-1 * Y1 * Y2^-2, Y2^2 * Y3 * Y1^-1, (Y1, Y2^-1), Y1 * Y2^-1 * Y3^-1 * Y2^-1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3 * Y1^2 * Y3 * Y2^-1, Y2 * Y1 * Y3^3, Y3 * Y1^-1 * Y3 * Y2 * Y3^-1 * Y2, Y1^-2 * Y2^-1 * Y1^-3, Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-2 * Y3 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 22, 51, 19, 48, 6, 35, 11, 40, 21, 50, 26, 55, 28, 57, 16, 45, 4, 33, 10, 39, 14, 43, 25, 54, 29, 58, 17, 46, 20, 49, 7, 36, 12, 41, 24, 53, 27, 56, 15, 44, 13, 42, 3, 32, 9, 38, 23, 52, 18, 47, 5, 34)(59, 88, 61, 90, 70, 99, 83, 112, 86, 115, 77, 106, 63, 92, 71, 100, 65, 94, 72, 101, 84, 113, 80, 109, 76, 105, 73, 102, 78, 107, 68, 97, 79, 108, 66, 95, 81, 110, 85, 114, 75, 104, 62, 91, 69, 98, 60, 89, 67, 96, 82, 111, 87, 116, 74, 103, 64, 93)
	L = (1, 62)(2, 68)(3, 69)(4, 73)(5, 74)(6, 75)(7, 59)(8, 72)(9, 79)(10, 71)(11, 78)(12, 60)(13, 64)(14, 61)(15, 77)(16, 85)(17, 76)(18, 86)(19, 87)(20, 63)(21, 65)(22, 83)(23, 84)(24, 66)(25, 67)(26, 70)(27, 80)(28, 82)(29, 81)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.139
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.275 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, (Y1, Y2^-1), (Y1^-1, Y3), (R * Y3)^2, (Y2^-1, Y3^-1), (R * Y1)^2, (R * Y2)^2, Y3 * Y1^2 * Y3 * Y2^-1, Y1^3 * Y3^-2, Y2^-1 * Y1 * Y3^2 * Y1, Y2 * Y1 * Y2^2 * Y3^-1, Y2 * Y1 * Y3^-1 * Y2^2, Y3 * Y2 * Y3^2 * Y2, Y1^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1, (Y1^-1 * Y3^-1)^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 17, 46, 15, 44, 3, 32, 9, 38, 26, 55, 24, 53, 29, 58, 13, 42, 19, 48, 22, 51, 7, 36, 12, 41, 18, 47, 4, 33, 10, 39, 16, 45, 23, 52, 28, 57, 14, 43, 27, 56, 21, 50, 6, 35, 11, 40, 25, 54, 20, 49, 5, 34)(59, 88, 61, 90, 71, 100, 76, 105, 86, 115, 69, 98, 60, 89, 67, 96, 77, 106, 62, 91, 72, 101, 83, 112, 66, 95, 84, 113, 80, 109, 68, 97, 85, 114, 78, 107, 75, 104, 82, 111, 65, 94, 74, 103, 79, 108, 63, 92, 73, 102, 87, 116, 70, 99, 81, 110, 64, 93)
	L = (1, 62)(2, 68)(3, 72)(4, 75)(5, 76)(6, 77)(7, 59)(8, 74)(9, 85)(10, 73)(11, 80)(12, 60)(13, 83)(14, 82)(15, 86)(16, 61)(17, 81)(18, 66)(19, 78)(20, 70)(21, 71)(22, 63)(23, 67)(24, 64)(25, 65)(26, 79)(27, 87)(28, 84)(29, 69)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.142
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.276 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^3, (Y1^-1, Y2), (R * Y3)^2, (Y3, Y2), (R * Y1)^2, (Y3^-1, Y1), (R * Y2)^2, Y1^-1 * Y3^-1 * Y1^-1 * Y2 * Y3^-1, Y1 * Y2^4, Y1 * Y3^-1 * Y1 * Y2^-2, Y1^-1 * Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y1^-1, Y1^29 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 24, 53, 29, 58, 17, 46, 15, 44, 3, 32, 9, 38, 25, 54, 19, 48, 22, 51, 7, 36, 12, 41, 13, 42, 23, 52, 18, 47, 4, 33, 10, 39, 16, 45, 27, 56, 21, 50, 6, 35, 11, 40, 14, 43, 26, 55, 28, 57, 20, 49, 5, 34)(59, 88, 61, 90, 71, 100, 79, 108, 63, 92, 73, 102, 70, 99, 85, 114, 78, 107, 75, 104, 65, 94, 74, 103, 86, 115, 87, 116, 80, 109, 68, 97, 84, 113, 82, 111, 77, 106, 62, 91, 72, 101, 66, 95, 83, 112, 76, 105, 69, 98, 60, 89, 67, 96, 81, 110, 64, 93)
	L = (1, 62)(2, 68)(3, 72)(4, 75)(5, 76)(6, 77)(7, 59)(8, 74)(9, 84)(10, 73)(11, 80)(12, 60)(13, 66)(14, 65)(15, 69)(16, 61)(17, 64)(18, 87)(19, 78)(20, 81)(21, 83)(22, 63)(23, 82)(24, 85)(25, 86)(26, 70)(27, 67)(28, 71)(29, 79)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.131
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.277 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 29, 29, 29})
Quotient :: dipole
Aut^+ = C29 (small group id <29, 1>)
Aut   = D58 (small group id <58, 1>)
|r| :: 2
Presentation :: [ R^2, (Y3, Y1), Y3^-1 * Y2^-1 * Y3^-2, (Y2, Y1), (Y2^-1, Y3^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^-1 * Y1 * Y3^-1 * Y2^-2, Y3 * Y1 * Y2^-1 * Y3 * Y2^-1, Y1^-1 * Y2 * Y3 * Y2^2, Y2^-1 * Y1^4, Y1^-1 * Y2^-2 * Y1^-2 * Y3^-1, Y3^-1 * Y1 * Y3^-2 * Y1^-1 * Y2^-1, Y2^2 * Y3^-1 * Y1 * Y2^2 * Y3^-1 * Y1 * Y2^2 * Y3^-1 * Y1 * Y2^2 * Y3^-1 * Y1 * Y2^2 * Y3^-1 * Y1 * Y2^2 * Y3^-1 * Y1 * Y2^2 * Y3^-1 * Y1 * Y2^2 * Y3^-1 * Y1 * Y2^2 * Y3^-1 * Y1 * Y2^2 * Y3^-1 * Y1 * Y2^2 * Y3^-1 * Y1 * Y2^2 * Y3^-1 * Y1 * Y2^2 * Y3^-1 * Y1 * Y2^2 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 30, 2, 31, 8, 37, 15, 44, 3, 32, 9, 38, 24, 53, 17, 46, 13, 42, 27, 56, 22, 51, 7, 36, 12, 41, 26, 55, 19, 48, 16, 45, 29, 58, 18, 47, 4, 33, 10, 39, 25, 54, 23, 52, 14, 43, 28, 57, 21, 50, 6, 35, 11, 40, 20, 49, 5, 34)(59, 88, 61, 90, 71, 100, 70, 99, 87, 116, 83, 112, 79, 108, 63, 92, 73, 102, 75, 104, 65, 94, 74, 103, 68, 97, 86, 115, 78, 107, 66, 95, 82, 111, 80, 109, 77, 106, 62, 91, 72, 101, 69, 98, 60, 89, 67, 96, 85, 114, 84, 113, 76, 105, 81, 110, 64, 93)
	L = (1, 62)(2, 68)(3, 72)(4, 75)(5, 76)(6, 77)(7, 59)(8, 83)(9, 86)(10, 71)(11, 74)(12, 60)(13, 69)(14, 65)(15, 81)(16, 61)(17, 64)(18, 82)(19, 73)(20, 87)(21, 84)(22, 63)(23, 80)(24, 79)(25, 85)(26, 66)(27, 78)(28, 70)(29, 67)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.134
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.278 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^-1 * Y2^2, Y3 * Y1^-1 * Y3 * Y1, Y3 * Y2^-1 * Y3 * Y2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2 * Y1^7 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 15, 45, 23, 53, 22, 52, 14, 44, 6, 36, 3, 33, 8, 38, 16, 46, 24, 54, 21, 51, 13, 43, 5, 35)(4, 34, 9, 39, 17, 47, 25, 55, 29, 59, 28, 58, 20, 50, 12, 42, 10, 40, 18, 48, 26, 56, 30, 60, 27, 57, 19, 49, 11, 41)(61, 91, 63, 93, 62, 92, 68, 98, 67, 97, 76, 106, 75, 105, 84, 114, 83, 113, 81, 111, 82, 112, 73, 103, 74, 104, 65, 95, 66, 96)(64, 94, 70, 100, 69, 99, 78, 108, 77, 107, 86, 116, 85, 115, 90, 120, 89, 119, 87, 117, 88, 118, 79, 109, 80, 110, 71, 101, 72, 102)
	L = (1, 64)(2, 69)(3, 70)(4, 61)(5, 71)(6, 72)(7, 77)(8, 78)(9, 62)(10, 63)(11, 65)(12, 66)(13, 79)(14, 80)(15, 85)(16, 86)(17, 67)(18, 68)(19, 73)(20, 74)(21, 87)(22, 88)(23, 89)(24, 90)(25, 75)(26, 76)(27, 81)(28, 82)(29, 83)(30, 84)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 60^30 ) }
Outer automorphisms :: reflexible
Dual of E28.323
Graph:: bipartite
	v = 4 e = 60 f = 2
	degree seq :: [ 30^4 ]

E28.279 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1 * Y2^2, Y3 * Y2 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2 * Y1^-7 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 15, 45, 23, 53, 20, 50, 11, 41, 3, 33, 6, 36, 9, 39, 17, 47, 25, 55, 22, 52, 14, 44, 5, 35)(4, 34, 8, 38, 16, 46, 24, 54, 29, 59, 27, 57, 19, 49, 10, 40, 13, 43, 18, 48, 26, 56, 30, 60, 28, 58, 21, 51, 12, 42)(61, 91, 63, 93, 65, 95, 71, 101, 74, 104, 80, 110, 82, 112, 83, 113, 85, 115, 75, 105, 77, 107, 67, 97, 69, 99, 62, 92, 66, 96)(64, 94, 70, 100, 72, 102, 79, 109, 81, 111, 87, 117, 88, 118, 89, 119, 90, 120, 84, 114, 86, 116, 76, 106, 78, 108, 68, 98, 73, 103)
	L = (1, 64)(2, 68)(3, 70)(4, 61)(5, 72)(6, 73)(7, 76)(8, 62)(9, 78)(10, 63)(11, 79)(12, 65)(13, 66)(14, 81)(15, 84)(16, 67)(17, 86)(18, 69)(19, 71)(20, 87)(21, 74)(22, 88)(23, 89)(24, 75)(25, 90)(26, 77)(27, 80)(28, 82)(29, 83)(30, 85)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 60^30 ) }
Outer automorphisms :: reflexible
Dual of E28.322
Graph:: bipartite
	v = 4 e = 60 f = 2
	degree seq :: [ 30^4 ]

E28.280 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1 * Y2, (Y3, Y1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y2), Y2^-1 * Y3^-2 * Y1^-2, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1, Y3^6, Y3^-2 * Y1^5, Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 22, 52, 27, 57, 14, 44, 18, 48, 6, 36, 3, 33, 9, 39, 21, 51, 25, 55, 28, 58, 17, 47, 5, 35)(4, 34, 10, 40, 20, 50, 13, 43, 24, 54, 26, 56, 30, 60, 16, 46, 12, 42, 19, 49, 7, 37, 11, 41, 23, 53, 29, 59, 15, 45)(61, 91, 63, 93, 62, 92, 69, 99, 68, 98, 81, 111, 82, 112, 85, 115, 87, 117, 88, 118, 74, 104, 77, 107, 78, 108, 65, 95, 66, 96)(64, 94, 72, 102, 70, 100, 79, 109, 80, 110, 67, 97, 73, 103, 71, 101, 84, 114, 83, 113, 86, 116, 89, 119, 90, 120, 75, 105, 76, 106)
	L = (1, 64)(2, 70)(3, 72)(4, 74)(5, 75)(6, 76)(7, 61)(8, 80)(9, 79)(10, 78)(11, 62)(12, 77)(13, 63)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 65)(20, 66)(21, 67)(22, 73)(23, 68)(24, 69)(25, 71)(26, 81)(27, 84)(28, 83)(29, 82)(30, 85)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 60^30 ) }
Outer automorphisms :: reflexible
Dual of E28.324
Graph:: bipartite
	v = 4 e = 60 f = 2
	degree seq :: [ 30^4 ]

E28.281 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-2, (Y3^-1, Y1^-1), (Y2^-1, Y3^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y2^-1 * Y3 * Y2^-2, Y3^-1 * Y2^-1 * Y1^-1 * Y3^-3, Y2^-1 * Y1^-1 * Y2^-1 * Y3^2 * Y1^-1, Y2^2 * Y1 * Y3^2 * Y2^2, Y2^3 * Y3^-2 * Y1^-1 * Y3^-2 * Y1^-1 * Y3^-2 * Y1^-1, (Y1^-1 * Y3^-1)^30 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 3, 33, 8, 38, 11, 41, 22, 52, 14, 44, 25, 55, 28, 58, 21, 51, 26, 56, 19, 49, 17, 47, 6, 36, 5, 35)(4, 34, 9, 39, 12, 42, 23, 53, 27, 57, 30, 60, 29, 59, 20, 50, 18, 48, 7, 37, 10, 40, 13, 43, 24, 54, 16, 46, 15, 45)(61, 91, 63, 93, 71, 101, 74, 104, 88, 118, 86, 116, 77, 107, 65, 95, 62, 92, 68, 98, 82, 112, 85, 115, 81, 111, 79, 109, 66, 96)(64, 94, 72, 102, 87, 117, 89, 119, 78, 108, 70, 100, 84, 114, 75, 105, 69, 99, 83, 113, 90, 120, 80, 110, 67, 97, 73, 103, 76, 106)
	L = (1, 64)(2, 69)(3, 72)(4, 74)(5, 75)(6, 76)(7, 61)(8, 83)(9, 85)(10, 62)(11, 87)(12, 88)(13, 63)(14, 89)(15, 82)(16, 71)(17, 84)(18, 65)(19, 73)(20, 66)(21, 67)(22, 90)(23, 81)(24, 68)(25, 80)(26, 70)(27, 86)(28, 78)(29, 77)(30, 79)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 60^30 ) }
Outer automorphisms :: reflexible
Dual of E28.326
Graph:: bipartite
	v = 4 e = 60 f = 2
	degree seq :: [ 30^4 ]

E28.282 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, (Y3, Y1^-1), (Y1^-1, Y2^-1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y2^-1, Y3), Y2 * Y1^4, Y2^-1 * Y1 * Y2^-1 * Y3^2, Y1^-1 * Y3^2 * Y2 * Y1^-1, Y2^-3 * Y1^-1 * Y2^-1, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-1, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 21, 51, 6, 36, 11, 41, 17, 47, 13, 43, 23, 53, 25, 55, 15, 45, 3, 33, 9, 39, 20, 50, 5, 35)(4, 34, 10, 40, 26, 56, 30, 60, 19, 49, 16, 46, 28, 58, 29, 59, 22, 52, 7, 37, 12, 42, 14, 44, 27, 57, 24, 54, 18, 48)(61, 91, 63, 93, 73, 103, 81, 111, 65, 95, 75, 105, 77, 107, 68, 98, 80, 110, 85, 115, 71, 101, 62, 92, 69, 99, 83, 113, 66, 96)(64, 94, 74, 104, 89, 119, 90, 120, 78, 108, 72, 102, 88, 118, 86, 116, 84, 114, 67, 97, 76, 106, 70, 100, 87, 117, 82, 112, 79, 109)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 78)(6, 79)(7, 61)(8, 86)(9, 87)(10, 73)(11, 76)(12, 62)(13, 89)(14, 68)(15, 72)(16, 63)(17, 88)(18, 71)(19, 75)(20, 84)(21, 90)(22, 65)(23, 82)(24, 66)(25, 67)(26, 83)(27, 81)(28, 69)(29, 80)(30, 85)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 60^30 ) }
Outer automorphisms :: reflexible
Dual of E28.325
Graph:: bipartite
	v = 4 e = 60 f = 2
	degree seq :: [ 30^4 ]

E28.283 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (Y2^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2^2 * Y1^-2, (R * Y2 * Y3^-1)^2, Y2^2 * Y1^5 * Y2^2 * Y1^6, Y1^30, (Y3^-1 * Y1^-1)^15, (Y3 * Y2^-1)^30 ]
Map::
	R = (1, 31, 2, 32, 6, 36, 11, 41, 15, 45, 19, 49, 23, 53, 27, 57, 29, 59, 25, 55, 21, 51, 17, 47, 13, 43, 9, 39, 4, 34)(3, 33, 7, 37, 12, 42, 16, 46, 20, 50, 24, 54, 28, 58, 30, 60, 26, 56, 22, 52, 18, 48, 14, 44, 10, 40, 5, 35, 8, 38)(61, 91, 63, 93, 66, 96, 72, 102, 75, 105, 80, 110, 83, 113, 88, 118, 89, 119, 86, 116, 81, 111, 78, 108, 73, 103, 70, 100, 64, 94, 68, 98, 62, 92, 67, 97, 71, 101, 76, 106, 79, 109, 84, 114, 87, 117, 90, 120, 85, 115, 82, 112, 77, 107, 74, 104, 69, 99, 65, 95)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 3 e = 60 f = 3
	degree seq :: [ 30^2, 60 ]

E28.284 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^-2 * Y2^-2, (R * Y1)^2, (Y1, Y2^-1), (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^5 * Y2^6 * Y1, Y1^-1 * Y2^14, Y1^15, (Y3^-1 * Y1^-1)^15, (Y3 * Y2^-1)^30 ]
Map::
	R = (1, 31, 2, 32, 6, 36, 11, 41, 15, 45, 19, 49, 23, 53, 27, 57, 30, 60, 25, 55, 22, 52, 17, 47, 14, 44, 9, 39, 4, 34)(3, 33, 7, 37, 5, 35, 8, 38, 12, 42, 16, 46, 20, 50, 24, 54, 28, 58, 29, 59, 26, 56, 21, 51, 18, 48, 13, 43, 10, 40)(61, 91, 63, 93, 69, 99, 73, 103, 77, 107, 81, 111, 85, 115, 89, 119, 87, 117, 84, 114, 79, 109, 76, 106, 71, 101, 68, 98, 62, 92, 67, 97, 64, 94, 70, 100, 74, 104, 78, 108, 82, 112, 86, 116, 90, 120, 88, 118, 83, 113, 80, 110, 75, 105, 72, 102, 66, 96, 65, 95)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 3 e = 60 f = 3
	degree seq :: [ 30^2, 60 ]

E28.285 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1 * Y2^-2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^15, (Y3^-1 * Y1^-1)^15, (Y3 * Y2^-1)^30 ]
Map::
	R = (1, 31, 2, 32, 6, 36, 10, 40, 14, 44, 18, 48, 22, 52, 26, 56, 28, 58, 24, 54, 20, 50, 16, 46, 12, 42, 8, 38, 4, 34)(3, 33, 7, 37, 11, 41, 15, 45, 19, 49, 23, 53, 27, 57, 30, 60, 29, 59, 25, 55, 21, 51, 17, 47, 13, 43, 9, 39, 5, 35)(61, 91, 63, 93, 62, 92, 67, 97, 66, 96, 71, 101, 70, 100, 75, 105, 74, 104, 79, 109, 78, 108, 83, 113, 82, 112, 87, 117, 86, 116, 90, 120, 88, 118, 89, 119, 84, 114, 85, 115, 80, 110, 81, 111, 76, 106, 77, 107, 72, 102, 73, 103, 68, 98, 69, 99, 64, 94, 65, 95)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 3 e = 60 f = 3
	degree seq :: [ 30^2, 60 ]

E28.286 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1 * Y2^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^15, (Y3^-1 * Y1^-1)^15, (Y3 * Y2^-1)^30 ]
Map::
	R = (1, 31, 2, 32, 6, 36, 10, 40, 14, 44, 18, 48, 22, 52, 26, 56, 29, 59, 25, 55, 21, 51, 17, 47, 13, 43, 9, 39, 4, 34)(3, 33, 5, 35, 7, 37, 11, 41, 15, 45, 19, 49, 23, 53, 27, 57, 30, 60, 28, 58, 24, 54, 20, 50, 16, 46, 12, 42, 8, 38)(61, 91, 63, 93, 64, 94, 68, 98, 69, 99, 72, 102, 73, 103, 76, 106, 77, 107, 80, 110, 81, 111, 84, 114, 85, 115, 88, 118, 89, 119, 90, 120, 86, 116, 87, 117, 82, 112, 83, 113, 78, 108, 79, 109, 74, 104, 75, 105, 70, 100, 71, 101, 66, 96, 67, 97, 62, 92, 65, 95)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 3 e = 60 f = 3
	degree seq :: [ 30^2, 60 ]

E28.287 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (Y2^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y2^4, (R * Y2 * Y3^-1)^2, Y1 * Y2 * Y1^6 * Y2, (Y3^-1 * Y1^-1)^15, (Y3 * Y2^-1)^30 ]
Map::
	R = (1, 31, 2, 32, 6, 36, 14, 44, 22, 52, 29, 59, 21, 51, 13, 43, 9, 39, 17, 47, 25, 55, 27, 57, 19, 49, 11, 41, 4, 34)(3, 33, 7, 37, 15, 45, 23, 53, 28, 58, 20, 50, 12, 42, 5, 35, 8, 38, 16, 46, 24, 54, 30, 60, 26, 56, 18, 48, 10, 40)(61, 91, 63, 93, 69, 99, 68, 98, 62, 92, 67, 97, 77, 107, 76, 106, 66, 96, 75, 105, 85, 115, 84, 114, 74, 104, 83, 113, 87, 117, 90, 120, 82, 112, 88, 118, 79, 109, 86, 116, 89, 119, 80, 110, 71, 101, 78, 108, 81, 111, 72, 102, 64, 94, 70, 100, 73, 103, 65, 95)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 3 e = 60 f = 3
	degree seq :: [ 30^2, 60 ]

E28.288 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y1^-1), Y2 * Y1 * Y2^3, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * Y2 * Y1^-6, (Y3^-1 * Y1^-1)^15, (Y3 * Y2^-1)^30 ]
Map::
	R = (1, 31, 2, 32, 6, 36, 14, 44, 22, 52, 26, 56, 18, 48, 9, 39, 13, 43, 17, 47, 25, 55, 28, 58, 20, 50, 11, 41, 4, 34)(3, 33, 7, 37, 15, 45, 23, 53, 30, 60, 29, 59, 21, 51, 12, 42, 5, 35, 8, 38, 16, 46, 24, 54, 27, 57, 19, 49, 10, 40)(61, 91, 63, 93, 69, 99, 72, 102, 64, 94, 70, 100, 78, 108, 81, 111, 71, 101, 79, 109, 86, 116, 89, 119, 80, 110, 87, 117, 82, 112, 90, 120, 88, 118, 84, 114, 74, 104, 83, 113, 85, 115, 76, 106, 66, 96, 75, 105, 77, 107, 68, 98, 62, 92, 67, 97, 73, 103, 65, 95)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 3 e = 60 f = 3
	degree seq :: [ 30^2, 60 ]

E28.289 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2 * Y1^3 * Y2, Y1 * Y2^-1 * Y1 * Y2^-5 * Y1, (Y3^-1 * Y1^-1)^15, (Y3 * Y2^-1)^30 ]
Map::
	R = (1, 31, 2, 32, 6, 36, 14, 44, 13, 43, 18, 48, 24, 54, 27, 57, 30, 60, 29, 59, 20, 50, 9, 39, 17, 47, 11, 41, 4, 34)(3, 33, 7, 37, 15, 45, 12, 42, 5, 35, 8, 38, 16, 46, 23, 53, 22, 52, 26, 56, 28, 58, 19, 49, 25, 55, 21, 51, 10, 40)(61, 91, 63, 93, 69, 99, 79, 109, 87, 117, 83, 113, 74, 104, 72, 102, 64, 94, 70, 100, 80, 110, 88, 118, 84, 114, 76, 106, 66, 96, 75, 105, 71, 101, 81, 111, 89, 119, 86, 116, 78, 108, 68, 98, 62, 92, 67, 97, 77, 107, 85, 115, 90, 120, 82, 112, 73, 103, 65, 95)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 3 e = 60 f = 3
	degree seq :: [ 30^2, 60 ]

E28.290 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (Y2^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-2, (R * Y2 * Y3^-1)^2, Y1^-2 * Y2^-1 * Y1^-1 * Y2^-5, (Y3^-1 * Y1^-1)^15, (Y3 * Y2^-1)^30 ]
Map::
	R = (1, 31, 2, 32, 6, 36, 14, 44, 9, 39, 17, 47, 24, 54, 30, 60, 27, 57, 28, 58, 21, 51, 13, 43, 18, 48, 11, 41, 4, 34)(3, 33, 7, 37, 15, 45, 23, 53, 19, 49, 25, 55, 29, 59, 22, 52, 26, 56, 20, 50, 12, 42, 5, 35, 8, 38, 16, 46, 10, 40)(61, 91, 63, 93, 69, 99, 79, 109, 87, 117, 86, 116, 78, 108, 68, 98, 62, 92, 67, 97, 77, 107, 85, 115, 88, 118, 80, 110, 71, 101, 76, 106, 66, 96, 75, 105, 84, 114, 89, 119, 81, 111, 72, 102, 64, 94, 70, 100, 74, 104, 83, 113, 90, 120, 82, 112, 73, 103, 65, 95)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 3 e = 60 f = 3
	degree seq :: [ 30^2, 60 ]

E28.291 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^-2 * Y2^-2, (Y1 * Y2)^2, (Y2, Y1^-1), (R * Y3)^2, (R * Y1)^2, (Y3, Y1^-1), (Y3^-1, Y2), (R * Y2)^2, Y1 * Y3 * Y1^2 * Y2^-2, Y2^2 * Y1^-1 * Y2^2 * Y3^-1, Y3^-1 * Y2^-3 * Y1 * Y3^-1 * Y2^-1, Y2^11 * Y3^-1 * Y2^-1 * Y3^-1, Y1^15, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3, Y2^30, (Y1^2 * Y3^-1)^15 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 21, 51, 19, 49, 7, 37, 12, 42, 24, 54, 29, 59, 17, 47, 4, 34, 10, 40, 22, 52, 13, 43, 5, 35)(3, 33, 9, 39, 6, 36, 11, 41, 23, 53, 16, 46, 26, 56, 20, 50, 28, 58, 30, 60, 14, 44, 25, 55, 18, 48, 27, 57, 15, 45)(61, 91, 63, 93, 73, 103, 87, 117, 70, 100, 85, 115, 77, 107, 90, 120, 84, 114, 80, 110, 67, 97, 76, 106, 81, 111, 71, 101, 62, 92, 69, 99, 65, 95, 75, 105, 82, 112, 78, 108, 64, 94, 74, 104, 89, 119, 88, 118, 72, 102, 86, 116, 79, 109, 83, 113, 68, 98, 66, 96)
	L = (1, 64)(2, 70)(3, 74)(4, 67)(5, 77)(6, 78)(7, 61)(8, 82)(9, 85)(10, 72)(11, 87)(12, 62)(13, 89)(14, 76)(15, 90)(16, 63)(17, 79)(18, 80)(19, 65)(20, 66)(21, 73)(22, 84)(23, 75)(24, 68)(25, 86)(26, 69)(27, 88)(28, 71)(29, 81)(30, 83)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 3 e = 60 f = 3
	degree seq :: [ 30^2, 60 ]

E28.292 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^-1 * Y2^2, (Y3^-1, Y2), (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y1), (R * Y1)^2, Y3 * Y1^5, Y1^-1 * Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y1^-1, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 20, 50, 18, 48, 7, 37, 11, 41, 23, 53, 26, 56, 14, 44, 4, 34, 10, 40, 22, 52, 16, 46, 5, 35)(3, 33, 9, 39, 21, 51, 29, 59, 19, 49, 13, 43, 25, 55, 30, 60, 27, 57, 15, 45, 12, 42, 24, 54, 28, 58, 17, 47, 6, 36)(61, 91, 63, 93, 62, 92, 69, 99, 68, 98, 81, 111, 80, 110, 89, 119, 78, 108, 79, 109, 67, 97, 73, 103, 71, 101, 85, 115, 83, 113, 90, 120, 86, 116, 87, 117, 74, 104, 75, 105, 64, 94, 72, 102, 70, 100, 84, 114, 82, 112, 88, 118, 76, 106, 77, 107, 65, 95, 66, 96)
	L = (1, 64)(2, 70)(3, 72)(4, 67)(5, 74)(6, 75)(7, 61)(8, 82)(9, 84)(10, 71)(11, 62)(12, 73)(13, 63)(14, 78)(15, 79)(16, 86)(17, 87)(18, 65)(19, 66)(20, 76)(21, 88)(22, 83)(23, 68)(24, 85)(25, 69)(26, 80)(27, 89)(28, 90)(29, 77)(30, 81)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 3 e = 60 f = 3
	degree seq :: [ 30^2, 60 ]

E28.293 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (R * Y2)^2, (Y3, Y2^-1), (Y3^-1, Y1), (Y1, Y2), (R * Y3)^2, (R * Y1)^2, Y1^-2 * Y2 * Y3 * Y2, Y2^4 * Y1, Y3^-1 * Y1^-5, Y3^-1 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 24, 54, 21, 51, 7, 37, 12, 42, 13, 43, 22, 52, 17, 47, 4, 34, 10, 40, 26, 56, 19, 49, 5, 35)(3, 33, 9, 39, 25, 55, 18, 48, 29, 59, 16, 46, 28, 58, 20, 50, 6, 36, 11, 41, 14, 44, 27, 57, 30, 60, 23, 53, 15, 45)(61, 91, 63, 93, 73, 103, 80, 110, 65, 95, 75, 105, 72, 102, 88, 118, 79, 109, 83, 113, 67, 97, 76, 106, 86, 116, 90, 120, 81, 111, 89, 119, 70, 100, 87, 117, 84, 114, 78, 108, 64, 94, 74, 104, 68, 98, 85, 115, 77, 107, 71, 101, 62, 92, 69, 99, 82, 112, 66, 96)
	L = (1, 64)(2, 70)(3, 74)(4, 67)(5, 77)(6, 78)(7, 61)(8, 86)(9, 87)(10, 72)(11, 89)(12, 62)(13, 68)(14, 76)(15, 71)(16, 63)(17, 81)(18, 83)(19, 82)(20, 85)(21, 65)(22, 84)(23, 66)(24, 79)(25, 90)(26, 73)(27, 88)(28, 69)(29, 75)(30, 80)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 3 e = 60 f = 3
	degree seq :: [ 30^2, 60 ]

E28.294 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y1, Y3^-1), (R * Y2)^2, Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1, (R * Y1)^2, Y3^-1 * Y2^-2 * Y1^-1, (R * Y3)^2, Y1^-5 * Y3^-1, (Y2 * Y1^-2)^2, Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^2 * Y3, Y1^-1 * Y3^-1 * Y2^28 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 20, 50, 13, 43, 7, 37, 12, 42, 24, 54, 28, 58, 17, 47, 4, 34, 10, 40, 22, 52, 19, 49, 5, 35)(3, 33, 9, 39, 21, 51, 29, 59, 26, 56, 16, 46, 18, 48, 25, 55, 30, 60, 27, 57, 14, 44, 6, 36, 11, 41, 23, 53, 15, 45)(61, 91, 63, 93, 73, 103, 86, 116, 88, 118, 90, 120, 82, 112, 71, 101, 62, 92, 69, 99, 67, 97, 76, 106, 77, 107, 87, 117, 79, 109, 83, 113, 68, 98, 81, 111, 72, 102, 78, 108, 64, 94, 74, 104, 65, 95, 75, 105, 80, 110, 89, 119, 84, 114, 85, 115, 70, 100, 66, 96)
	L = (1, 64)(2, 70)(3, 74)(4, 67)(5, 77)(6, 78)(7, 61)(8, 82)(9, 66)(10, 72)(11, 85)(12, 62)(13, 65)(14, 76)(15, 87)(16, 63)(17, 73)(18, 69)(19, 88)(20, 79)(21, 71)(22, 84)(23, 90)(24, 68)(25, 81)(26, 75)(27, 86)(28, 80)(29, 83)(30, 89)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 3 e = 60 f = 3
	degree seq :: [ 30^2, 60 ]

E28.295 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-2 * Y1^-1, (Y2 * Y1)^2, (Y3^-1, Y1^-1), (R * Y3)^2, (Y2^-1, Y3), (Y2^-1, Y1), (R * Y1)^2, (R * Y2)^2, Y3^-2 * Y1^-3, Y3^5, Y2 * Y3^2 * Y2 * Y3 * Y1^-1, Y3 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y1^-1 * Y3^2 * Y2^26, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 22, 52, 28, 58, 18, 48, 4, 34, 10, 40, 20, 50, 7, 37, 12, 42, 24, 54, 17, 47, 13, 43, 5, 35)(3, 33, 9, 39, 6, 36, 11, 41, 23, 53, 30, 60, 14, 44, 25, 55, 19, 49, 16, 46, 26, 56, 21, 51, 27, 57, 29, 59, 15, 45)(61, 91, 63, 93, 73, 103, 89, 119, 84, 114, 81, 111, 67, 97, 76, 106, 70, 100, 85, 115, 78, 108, 90, 120, 82, 112, 71, 101, 62, 92, 69, 99, 65, 95, 75, 105, 77, 107, 87, 117, 72, 102, 86, 116, 80, 110, 79, 109, 64, 94, 74, 104, 88, 118, 83, 113, 68, 98, 66, 96)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 78)(6, 79)(7, 61)(8, 80)(9, 85)(10, 73)(11, 76)(12, 62)(13, 88)(14, 87)(15, 90)(16, 63)(17, 82)(18, 84)(19, 75)(20, 65)(21, 66)(22, 67)(23, 86)(24, 68)(25, 89)(26, 69)(27, 71)(28, 72)(29, 83)(30, 81)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.308
Graph:: bipartite
	v = 3 e = 60 f = 3
	degree seq :: [ 30^2, 60 ]

E28.296 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^2, Y1^2 * Y3 * Y1, (R * Y3)^2, (Y2^-1, Y3^-1), (R * Y1)^2, (R * Y2)^2, Y3 * Y2 * Y1 * Y2 * Y1, Y3^5, Y1^-1 * Y3^-2 * Y1 * Y3^2, (Y3 * Y1^-2)^3 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 7, 37, 11, 41, 20, 50, 19, 49, 23, 53, 26, 56, 14, 44, 22, 52, 15, 45, 4, 34, 10, 40, 5, 35)(3, 33, 9, 39, 18, 48, 13, 43, 21, 51, 29, 59, 25, 55, 30, 60, 27, 57, 24, 54, 28, 58, 16, 46, 12, 42, 17, 47, 6, 36)(61, 91, 63, 93, 62, 92, 69, 99, 68, 98, 78, 108, 67, 97, 73, 103, 71, 101, 81, 111, 80, 110, 89, 119, 79, 109, 85, 115, 83, 113, 90, 120, 86, 116, 87, 117, 74, 104, 84, 114, 82, 112, 88, 118, 75, 105, 76, 106, 64, 94, 72, 102, 70, 100, 77, 107, 65, 95, 66, 96)
	L = (1, 64)(2, 70)(3, 72)(4, 74)(5, 75)(6, 76)(7, 61)(8, 65)(9, 77)(10, 82)(11, 62)(12, 84)(13, 63)(14, 79)(15, 86)(16, 87)(17, 88)(18, 66)(19, 67)(20, 68)(21, 69)(22, 83)(23, 71)(24, 85)(25, 73)(26, 80)(27, 89)(28, 90)(29, 78)(30, 81)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.312
Graph:: bipartite
	v = 3 e = 60 f = 3
	degree seq :: [ 30^2, 60 ]

E28.297 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1 * Y2, Y1^-3 * Y3, (Y1^-1, Y3^-1), (Y3, Y2^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1, Y3^5, Y3^-1 * Y2 * Y3^-1 * Y1^-1 * Y2 * Y3^-2 * Y1^-1, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2^2, (Y2^-1 * Y3)^30 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 4, 34, 9, 39, 20, 50, 15, 45, 21, 51, 28, 58, 19, 49, 23, 53, 17, 47, 7, 37, 11, 41, 5, 35)(3, 33, 6, 36, 10, 40, 12, 42, 16, 46, 22, 52, 24, 54, 27, 57, 30, 60, 26, 56, 29, 59, 25, 55, 14, 44, 18, 48, 13, 43)(61, 91, 63, 93, 65, 95, 73, 103, 71, 101, 78, 108, 67, 97, 74, 104, 77, 107, 85, 115, 83, 113, 89, 119, 79, 109, 86, 116, 88, 118, 90, 120, 81, 111, 87, 117, 75, 105, 84, 114, 80, 110, 82, 112, 69, 99, 76, 106, 64, 94, 72, 102, 68, 98, 70, 100, 62, 92, 66, 96)
	L = (1, 64)(2, 69)(3, 72)(4, 75)(5, 68)(6, 76)(7, 61)(8, 80)(9, 81)(10, 82)(11, 62)(12, 84)(13, 70)(14, 63)(15, 79)(16, 87)(17, 65)(18, 66)(19, 67)(20, 88)(21, 83)(22, 90)(23, 71)(24, 86)(25, 73)(26, 74)(27, 89)(28, 77)(29, 78)(30, 85)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.307
Graph:: bipartite
	v = 3 e = 60 f = 3
	degree seq :: [ 30^2, 60 ]

E28.298 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1, (Y1^-1, Y2), Y1^-1 * Y2^-2 * Y3^-1, Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3^2 * Y1^3, Y2^-2 * Y1 * Y2^-2, Y3^5, Y3 * Y1^-1 * Y3^2 * Y1^-2, Y2 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 21, 51, 25, 55, 18, 48, 4, 34, 10, 40, 13, 43, 7, 37, 12, 42, 23, 53, 17, 47, 20, 50, 5, 35)(3, 33, 9, 39, 22, 52, 28, 58, 29, 59, 27, 57, 14, 44, 6, 36, 11, 41, 16, 46, 24, 54, 30, 60, 26, 56, 19, 49, 15, 45)(61, 91, 63, 93, 73, 103, 71, 101, 62, 92, 69, 99, 67, 97, 76, 106, 68, 98, 82, 112, 72, 102, 84, 114, 81, 111, 88, 118, 83, 113, 90, 120, 85, 115, 89, 119, 77, 107, 86, 116, 78, 108, 87, 117, 80, 110, 79, 109, 64, 94, 74, 104, 65, 95, 75, 105, 70, 100, 66, 96)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 78)(6, 79)(7, 61)(8, 73)(9, 66)(10, 80)(11, 75)(12, 62)(13, 65)(14, 86)(15, 87)(16, 63)(17, 81)(18, 83)(19, 89)(20, 85)(21, 67)(22, 71)(23, 68)(24, 69)(25, 72)(26, 88)(27, 90)(28, 76)(29, 84)(30, 82)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.310
Graph:: bipartite
	v = 3 e = 60 f = 3
	degree seq :: [ 30^2, 60 ]

E28.299 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-3, Y1^-1 * Y2^-1 * Y3 * Y2^-1, Y2^-2 * Y1^-1 * Y3, Y3 * Y1^-1 * Y2^-2, (R * Y1)^2, (R * Y2)^2, (Y1, Y2^-1), (Y3^-1, Y2^-1), (R * Y3)^2, (Y3, Y1), Y3^5, Y1 * Y3^-1 * Y1 * Y2^-1 * Y3^-2 * Y2^-1, Y3 * Y1^-1 * Y2 * Y1^-1 * Y3^2 * Y2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 7, 37, 12, 42, 22, 52, 19, 49, 26, 56, 28, 58, 17, 47, 24, 54, 13, 43, 4, 34, 10, 40, 5, 35)(3, 33, 9, 39, 20, 50, 16, 46, 6, 36, 11, 41, 21, 51, 18, 48, 25, 55, 29, 59, 30, 60, 27, 57, 14, 44, 23, 53, 15, 45)(61, 91, 63, 93, 73, 103, 87, 117, 86, 116, 78, 108, 67, 97, 76, 106, 65, 95, 75, 105, 84, 114, 90, 120, 79, 109, 81, 111, 68, 98, 80, 110, 70, 100, 83, 113, 77, 107, 89, 119, 82, 112, 71, 101, 62, 92, 69, 99, 64, 94, 74, 104, 88, 118, 85, 115, 72, 102, 66, 96)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 73)(6, 69)(7, 61)(8, 65)(9, 83)(10, 84)(11, 80)(12, 62)(13, 88)(14, 89)(15, 87)(16, 63)(17, 79)(18, 66)(19, 67)(20, 75)(21, 76)(22, 68)(23, 90)(24, 86)(25, 71)(26, 72)(27, 85)(28, 82)(29, 81)(30, 78)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.309
Graph:: bipartite
	v = 3 e = 60 f = 3
	degree seq :: [ 30^2, 60 ]

E28.300 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y1^-1), Y1^3 * Y3^-1, Y2^-1 * Y3 * Y1 * Y2^-1, Y3 * Y2^-1 * Y1 * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2^-1), (Y2^-1, Y1^-1), (R * Y2)^2, Y3^5, Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y1, (Y1^-1 * Y3^-1)^15, Y3 * Y1 * Y2^28 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 4, 34, 10, 40, 21, 51, 15, 45, 24, 54, 29, 59, 19, 49, 26, 56, 17, 47, 7, 37, 12, 42, 5, 35)(3, 33, 9, 39, 20, 50, 13, 43, 23, 53, 30, 60, 27, 57, 28, 58, 18, 48, 25, 55, 16, 46, 6, 36, 11, 41, 22, 52, 14, 44)(61, 91, 63, 93, 70, 100, 83, 113, 89, 119, 78, 108, 67, 97, 71, 101, 62, 92, 69, 99, 81, 111, 90, 120, 79, 109, 85, 115, 72, 102, 82, 112, 68, 98, 80, 110, 75, 105, 87, 117, 86, 116, 76, 106, 65, 95, 74, 104, 64, 94, 73, 103, 84, 114, 88, 118, 77, 107, 66, 96)
	L = (1, 64)(2, 70)(3, 73)(4, 75)(5, 68)(6, 74)(7, 61)(8, 81)(9, 83)(10, 84)(11, 63)(12, 62)(13, 87)(14, 80)(15, 79)(16, 82)(17, 65)(18, 66)(19, 67)(20, 90)(21, 89)(22, 69)(23, 88)(24, 86)(25, 71)(26, 72)(27, 85)(28, 76)(29, 77)(30, 78)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.311
Graph:: bipartite
	v = 3 e = 60 f = 3
	degree seq :: [ 30^2, 60 ]

E28.301 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y1^-3 * Y3^-1, (Y2^-1 * Y1)^2, Y2^-2 * Y3^-1 * Y1^-1, (R * Y1)^2, (Y2^-1, Y1^-1), Y2^-2 * Y1^-1 * Y3^-1, Y2^2 * Y1^-2, Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1, (R * Y3)^2, (R * Y2)^2, Y3^5, Y2^-1 * Y3^2 * Y2 * Y3^-2, Y2^2 * Y3^-2 * Y1 * Y3^-2, (Y3 * Y2^-1)^30 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 7, 37, 12, 42, 20, 50, 18, 48, 24, 54, 27, 57, 15, 45, 22, 52, 16, 46, 4, 34, 10, 40, 5, 35)(3, 33, 9, 39, 19, 49, 14, 44, 21, 51, 29, 59, 26, 56, 28, 58, 30, 60, 25, 55, 17, 47, 23, 53, 13, 43, 6, 36, 11, 41)(61, 91, 63, 93, 68, 98, 79, 109, 72, 102, 81, 111, 78, 108, 86, 116, 87, 117, 90, 120, 82, 112, 77, 107, 64, 94, 73, 103, 65, 95, 71, 101, 62, 92, 69, 99, 67, 97, 74, 104, 80, 110, 89, 119, 84, 114, 88, 118, 75, 105, 85, 115, 76, 106, 83, 113, 70, 100, 66, 96)
	L = (1, 64)(2, 70)(3, 73)(4, 75)(5, 76)(6, 77)(7, 61)(8, 65)(9, 66)(10, 82)(11, 83)(12, 62)(13, 85)(14, 63)(15, 78)(16, 87)(17, 88)(18, 67)(19, 71)(20, 68)(21, 69)(22, 84)(23, 90)(24, 72)(25, 86)(26, 74)(27, 80)(28, 81)(29, 79)(30, 89)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.306
Graph:: bipartite
	v = 3 e = 60 f = 3
	degree seq :: [ 30^2, 60 ]

E28.302 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2 * Y3 * Y2, Y2^-2 * Y1 * Y3^-1, Y3 * Y1^-3, (Y2, Y1^-1), Y2^-2 * Y1^-2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^5, Y2^-1 * Y3^2 * Y2^-1 * Y3^2 * Y1, Y1^-1 * Y3^-1 * Y2^26, (Y3^-1 * Y1^-1)^15, (Y3 * Y2^-1)^30 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 4, 34, 10, 40, 19, 49, 15, 45, 22, 52, 28, 58, 18, 48, 24, 54, 17, 47, 7, 37, 12, 42, 5, 35)(3, 33, 9, 39, 6, 36, 11, 41, 20, 50, 16, 46, 23, 53, 29, 59, 27, 57, 26, 56, 30, 60, 25, 55, 14, 44, 21, 51, 13, 43)(61, 91, 63, 93, 72, 102, 81, 111, 77, 107, 85, 115, 78, 108, 86, 116, 82, 112, 89, 119, 79, 109, 76, 106, 64, 94, 71, 101, 62, 92, 69, 99, 65, 95, 73, 103, 67, 97, 74, 104, 84, 114, 90, 120, 88, 118, 87, 117, 75, 105, 83, 113, 70, 100, 80, 110, 68, 98, 66, 96)
	L = (1, 64)(2, 70)(3, 71)(4, 75)(5, 68)(6, 76)(7, 61)(8, 79)(9, 80)(10, 82)(11, 83)(12, 62)(13, 66)(14, 63)(15, 78)(16, 87)(17, 65)(18, 67)(19, 88)(20, 89)(21, 69)(22, 84)(23, 86)(24, 72)(25, 73)(26, 74)(27, 85)(28, 77)(29, 90)(30, 81)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 3 e = 60 f = 3
	degree seq :: [ 30^2, 60 ]

E28.303 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1, (R * Y2)^2, (Y1, Y3^-1), (Y2^-1, Y3), (R * Y1)^2, (R * Y3)^2, Y1^-3 * Y3^-2, Y3^5, (Y2 * Y3 * Y1)^2, Y3^-1 * Y1 * Y3^-1 * Y1^2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 21, 51, 26, 56, 15, 45, 4, 34, 10, 40, 19, 49, 7, 37, 11, 41, 23, 53, 14, 44, 17, 47, 5, 35)(3, 33, 9, 39, 22, 52, 28, 58, 30, 60, 16, 46, 12, 42, 24, 54, 20, 50, 13, 43, 25, 55, 29, 59, 27, 57, 18, 48, 6, 36)(61, 91, 63, 93, 62, 92, 69, 99, 68, 98, 82, 112, 81, 111, 88, 118, 86, 116, 90, 120, 75, 105, 76, 106, 64, 94, 72, 102, 70, 100, 84, 114, 79, 109, 80, 110, 67, 97, 73, 103, 71, 101, 85, 115, 83, 113, 89, 119, 74, 104, 87, 117, 77, 107, 78, 108, 65, 95, 66, 96)
	L = (1, 64)(2, 70)(3, 72)(4, 74)(5, 75)(6, 76)(7, 61)(8, 79)(9, 84)(10, 77)(11, 62)(12, 87)(13, 63)(14, 81)(15, 83)(16, 89)(17, 86)(18, 90)(19, 65)(20, 66)(21, 67)(22, 80)(23, 68)(24, 78)(25, 69)(26, 71)(27, 88)(28, 73)(29, 82)(30, 85)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.305
Graph:: bipartite
	v = 3 e = 60 f = 3
	degree seq :: [ 30^2, 60 ]

E28.304 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-3, (R * Y1)^2, (Y2^-1, Y1^-1), (Y3, Y1), (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y2)^2, Y2 * Y1 * Y2 * Y3^2, Y3 * Y1 * Y3 * Y2^2, Y1^-1 * Y2^4, Y3^5, Y1^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1^-1, Y2^-1 * Y3^2 * Y2^-1 * Y1^-1 * Y3, Y2^-1 * Y1^-1 * Y3 * Y2 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 4, 34, 10, 40, 25, 55, 17, 47, 21, 51, 13, 43, 23, 53, 30, 60, 20, 50, 7, 37, 12, 42, 5, 35)(3, 33, 9, 39, 24, 54, 14, 44, 22, 52, 29, 59, 19, 49, 6, 36, 11, 41, 26, 56, 18, 48, 28, 58, 16, 46, 27, 57, 15, 45)(61, 91, 63, 93, 73, 103, 71, 101, 62, 92, 69, 99, 83, 113, 86, 116, 68, 98, 84, 114, 90, 120, 78, 108, 64, 94, 74, 104, 80, 110, 88, 118, 70, 100, 82, 112, 67, 97, 76, 106, 85, 115, 89, 119, 72, 102, 87, 117, 77, 107, 79, 109, 65, 95, 75, 105, 81, 111, 66, 96)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 68)(6, 78)(7, 61)(8, 85)(9, 82)(10, 81)(11, 88)(12, 62)(13, 80)(14, 79)(15, 84)(16, 63)(17, 83)(18, 87)(19, 86)(20, 65)(21, 90)(22, 66)(23, 67)(24, 89)(25, 73)(26, 76)(27, 69)(28, 75)(29, 71)(30, 72)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 3 e = 60 f = 3
	degree seq :: [ 30^2, 60 ]

E28.305 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-3, (Y3, Y1), (Y2^-1, Y1), (Y3^-1, Y2), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3^2 * Y1^-1 * Y2^2, Y2^4 * Y1, Y3 * Y2 * Y3 * Y2 * Y1^-1, Y3^5, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1^-1, (Y3^2 * Y1)^3 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 7, 37, 12, 42, 26, 56, 23, 53, 13, 43, 21, 51, 17, 47, 29, 59, 18, 48, 4, 34, 10, 40, 5, 35)(3, 33, 9, 39, 24, 54, 16, 46, 28, 58, 19, 49, 30, 60, 20, 50, 6, 36, 11, 41, 25, 55, 22, 52, 14, 44, 27, 57, 15, 45)(61, 91, 63, 93, 73, 103, 80, 110, 65, 95, 75, 105, 83, 113, 90, 120, 70, 100, 87, 117, 86, 116, 79, 109, 64, 94, 74, 104, 72, 102, 88, 118, 78, 108, 82, 112, 67, 97, 76, 106, 89, 119, 85, 115, 68, 98, 84, 114, 77, 107, 71, 101, 62, 92, 69, 99, 81, 111, 66, 96)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 78)(6, 79)(7, 61)(8, 65)(9, 87)(10, 89)(11, 90)(12, 62)(13, 72)(14, 71)(15, 82)(16, 63)(17, 83)(18, 81)(19, 84)(20, 88)(21, 86)(22, 66)(23, 67)(24, 75)(25, 80)(26, 68)(27, 85)(28, 69)(29, 73)(30, 76)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.303
Graph:: bipartite
	v = 3 e = 60 f = 3
	degree seq :: [ 30^2, 60 ]

E28.306 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, (Y3, Y2), (Y1^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3, Y1^-1), Y1^-2 * Y2 * Y3 * Y2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y1, Y3^-2 * Y1^-3, Y3^5, Y3^-1 * Y1^-1 * Y2^-1 * Y3^-2 * Y2^-1, Y2^30 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 25, 55, 23, 53, 18, 48, 4, 34, 10, 40, 22, 52, 7, 37, 12, 42, 13, 43, 17, 47, 20, 50, 5, 35)(3, 33, 9, 39, 26, 56, 21, 51, 6, 36, 11, 41, 14, 44, 27, 57, 30, 60, 16, 46, 19, 49, 28, 58, 29, 59, 24, 54, 15, 45)(61, 91, 63, 93, 73, 103, 88, 118, 70, 100, 87, 117, 85, 115, 81, 111, 65, 95, 75, 105, 72, 102, 79, 109, 64, 94, 74, 104, 68, 98, 86, 116, 80, 110, 84, 114, 67, 97, 76, 106, 78, 108, 71, 101, 62, 92, 69, 99, 77, 107, 89, 119, 82, 112, 90, 120, 83, 113, 66, 96)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 78)(6, 79)(7, 61)(8, 82)(9, 87)(10, 80)(11, 88)(12, 62)(13, 68)(14, 89)(15, 71)(16, 63)(17, 85)(18, 73)(19, 69)(20, 83)(21, 76)(22, 65)(23, 72)(24, 66)(25, 67)(26, 90)(27, 84)(28, 86)(29, 81)(30, 75)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.301
Graph:: bipartite
	v = 3 e = 60 f = 3
	degree seq :: [ 30^2, 60 ]

E28.307 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1 * Y1)^2, (Y3^-1, Y1^-1), Y1^-1 * Y2^2 * Y1^-1, (R * Y1)^2, Y1 * Y2 * Y3^-1 * Y2, (Y3, Y2^-1), Y3 * Y1^-1 * Y2^-2, (R * Y2)^2, (R * Y3)^2, Y3^5, Y3 * Y1 * Y3 * Y2 * Y3^2 * Y2, Y1^15, Y3 * Y1 * Y2^26 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 4, 34, 10, 40, 20, 50, 15, 45, 22, 52, 27, 57, 18, 48, 24, 54, 16, 46, 7, 37, 12, 42, 5, 35)(3, 33, 9, 39, 19, 49, 13, 43, 21, 51, 29, 59, 25, 55, 28, 58, 30, 60, 26, 56, 17, 47, 23, 53, 14, 44, 6, 36, 11, 41)(61, 91, 63, 93, 68, 98, 79, 109, 70, 100, 81, 111, 75, 105, 85, 115, 87, 117, 90, 120, 84, 114, 77, 107, 67, 97, 74, 104, 65, 95, 71, 101, 62, 92, 69, 99, 64, 94, 73, 103, 80, 110, 89, 119, 82, 112, 88, 118, 78, 108, 86, 116, 76, 106, 83, 113, 72, 102, 66, 96)
	L = (1, 64)(2, 70)(3, 73)(4, 75)(5, 68)(6, 69)(7, 61)(8, 80)(9, 81)(10, 82)(11, 79)(12, 62)(13, 85)(14, 63)(15, 78)(16, 65)(17, 66)(18, 67)(19, 89)(20, 87)(21, 88)(22, 84)(23, 71)(24, 72)(25, 86)(26, 74)(27, 76)(28, 77)(29, 90)(30, 83)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.297
Graph:: bipartite
	v = 3 e = 60 f = 3
	degree seq :: [ 30^2, 60 ]

E28.308 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-3, (Y1^-1 * Y2^-1)^2, Y3 * Y1 * Y2^-2, (Y3^-1, Y1^-1), (Y1, Y2^-1), Y1^-1 * Y2 * Y3^-1 * Y2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3^5, Y1^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y3^-2 * Y1 * Y2^-1 * Y3^-2 * Y2^-1, Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2, Y3 * Y1 * Y2^28 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 7, 37, 12, 42, 20, 50, 18, 48, 24, 54, 27, 57, 15, 45, 22, 52, 16, 46, 4, 34, 10, 40, 5, 35)(3, 33, 9, 39, 6, 36, 11, 41, 19, 49, 17, 47, 23, 53, 29, 59, 28, 58, 25, 55, 30, 60, 26, 56, 13, 43, 21, 51, 14, 44)(61, 91, 63, 93, 70, 100, 81, 111, 76, 106, 86, 116, 75, 105, 85, 115, 84, 114, 89, 119, 80, 110, 77, 107, 67, 97, 71, 101, 62, 92, 69, 99, 65, 95, 74, 104, 64, 94, 73, 103, 82, 112, 90, 120, 87, 117, 88, 118, 78, 108, 83, 113, 72, 102, 79, 109, 68, 98, 66, 96)
	L = (1, 64)(2, 70)(3, 73)(4, 75)(5, 76)(6, 74)(7, 61)(8, 65)(9, 81)(10, 82)(11, 63)(12, 62)(13, 85)(14, 86)(15, 78)(16, 87)(17, 66)(18, 67)(19, 69)(20, 68)(21, 90)(22, 84)(23, 71)(24, 72)(25, 83)(26, 88)(27, 80)(28, 77)(29, 79)(30, 89)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.295
Graph:: bipartite
	v = 3 e = 60 f = 3
	degree seq :: [ 30^2, 60 ]

E28.309 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-2, (Y3, Y1), (Y3^-1, Y2), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1^3 * Y3^2, Y3^5, Y1^-1 * Y3^2 * Y1^-2 * Y3, (Y2 * Y3^-1 * Y1^-1)^2, (Y2^-1 * Y3)^30 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 21, 51, 26, 56, 16, 46, 4, 34, 9, 39, 19, 49, 7, 37, 11, 41, 23, 53, 15, 45, 18, 48, 5, 35)(3, 33, 6, 36, 10, 40, 22, 52, 30, 60, 28, 58, 12, 42, 17, 47, 24, 54, 14, 44, 20, 50, 25, 55, 27, 57, 29, 59, 13, 43)(61, 91, 63, 93, 65, 95, 73, 103, 78, 108, 89, 119, 75, 105, 87, 117, 83, 113, 85, 115, 71, 101, 80, 110, 67, 97, 74, 104, 79, 109, 84, 114, 69, 99, 77, 107, 64, 94, 72, 102, 76, 106, 88, 118, 86, 116, 90, 120, 81, 111, 82, 112, 68, 98, 70, 100, 62, 92, 66, 96)
	L = (1, 64)(2, 69)(3, 72)(4, 75)(5, 76)(6, 77)(7, 61)(8, 79)(9, 78)(10, 84)(11, 62)(12, 87)(13, 88)(14, 63)(15, 81)(16, 83)(17, 89)(18, 86)(19, 65)(20, 66)(21, 67)(22, 74)(23, 68)(24, 73)(25, 70)(26, 71)(27, 82)(28, 85)(29, 90)(30, 80)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.299
Graph:: bipartite
	v = 3 e = 60 f = 3
	degree seq :: [ 30^2, 60 ]

E28.310 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-3, (Y2^-1, Y3), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2^-1, Y1), (Y1^-1, Y3), Y2 * Y1 * Y3^-1 * Y2 * Y3^-1, Y2^-1 * Y1 * Y2^-3, Y3^-2 * Y1 * Y2^2, Y3^5, Y3^-1 * Y2^-1 * Y1 * Y3 * Y2 * Y1^-1, Y2^-1 * Y3^-2 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 7, 37, 12, 42, 26, 56, 23, 53, 21, 51, 13, 43, 17, 47, 28, 58, 18, 48, 4, 34, 10, 40, 5, 35)(3, 33, 9, 39, 24, 54, 16, 46, 19, 49, 29, 59, 20, 50, 6, 36, 11, 41, 25, 55, 22, 52, 30, 60, 14, 44, 27, 57, 15, 45)(61, 91, 63, 93, 73, 103, 71, 101, 62, 92, 69, 99, 77, 107, 85, 115, 68, 98, 84, 114, 88, 118, 82, 112, 67, 97, 76, 106, 78, 108, 90, 120, 72, 102, 79, 109, 64, 94, 74, 104, 86, 116, 89, 119, 70, 100, 87, 117, 83, 113, 80, 110, 65, 95, 75, 105, 81, 111, 66, 96)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 78)(6, 79)(7, 61)(8, 65)(9, 87)(10, 88)(11, 89)(12, 62)(13, 86)(14, 85)(15, 90)(16, 63)(17, 83)(18, 73)(19, 69)(20, 76)(21, 72)(22, 66)(23, 67)(24, 75)(25, 80)(26, 68)(27, 82)(28, 81)(29, 84)(30, 71)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.298
Graph:: bipartite
	v = 3 e = 60 f = 3
	degree seq :: [ 30^2, 60 ]

E28.311 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y3^-1 * Y1, (Y2^-1, Y1^-1), (Y2^-1, Y3^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2 * Y1 * Y2^3, Y1 * Y2^-1 * Y3 * Y2^-1 * Y3, Y2^-2 * Y1 * Y3^2, Y3^5, Y3 * Y2 * Y3^2 * Y2 * Y1^-1, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-2, (Y3^-1 * Y1^-1)^15 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 4, 34, 10, 40, 25, 55, 17, 47, 13, 43, 21, 51, 23, 53, 30, 60, 20, 50, 7, 37, 12, 42, 5, 35)(3, 33, 9, 39, 24, 54, 14, 44, 27, 57, 22, 52, 29, 59, 19, 49, 6, 36, 11, 41, 26, 56, 18, 48, 16, 46, 28, 58, 15, 45)(61, 91, 63, 93, 73, 103, 79, 109, 65, 95, 75, 105, 77, 107, 89, 119, 72, 102, 88, 118, 85, 115, 82, 112, 67, 97, 76, 106, 70, 100, 87, 117, 80, 110, 78, 108, 64, 94, 74, 104, 90, 120, 86, 116, 68, 98, 84, 114, 83, 113, 71, 101, 62, 92, 69, 99, 81, 111, 66, 96)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 68)(6, 78)(7, 61)(8, 85)(9, 87)(10, 73)(11, 76)(12, 62)(13, 90)(14, 89)(15, 84)(16, 63)(17, 83)(18, 75)(19, 86)(20, 65)(21, 80)(22, 66)(23, 67)(24, 82)(25, 81)(26, 88)(27, 79)(28, 69)(29, 71)(30, 72)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.300
Graph:: bipartite
	v = 3 e = 60 f = 3
	degree seq :: [ 30^2, 60 ]

E28.312 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, (R * Y1)^2, (Y3^-1, Y2^-1), (Y2, Y1), (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y1^-1), Y3^2 * Y1^3, Y2^2 * Y1^-1 * Y3^2, Y2 * Y1 * Y2 * Y1 * Y3^-1, Y2^-2 * Y1 * Y3^-2, Y3^5, Y2^30 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 25, 55, 13, 43, 18, 48, 4, 34, 10, 40, 22, 52, 7, 37, 12, 42, 23, 53, 17, 47, 20, 50, 5, 35)(3, 33, 9, 39, 19, 49, 28, 58, 29, 59, 24, 54, 14, 44, 27, 57, 30, 60, 16, 46, 21, 51, 6, 36, 11, 41, 26, 56, 15, 45)(61, 91, 63, 93, 73, 103, 89, 119, 82, 112, 90, 120, 77, 107, 71, 101, 62, 92, 69, 99, 78, 108, 84, 114, 67, 97, 76, 106, 80, 110, 86, 116, 68, 98, 79, 109, 64, 94, 74, 104, 72, 102, 81, 111, 65, 95, 75, 105, 85, 115, 88, 118, 70, 100, 87, 117, 83, 113, 66, 96)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 78)(6, 79)(7, 61)(8, 82)(9, 87)(10, 80)(11, 88)(12, 62)(13, 72)(14, 71)(15, 84)(16, 63)(17, 85)(18, 83)(19, 90)(20, 73)(21, 69)(22, 65)(23, 68)(24, 66)(25, 67)(26, 89)(27, 86)(28, 76)(29, 81)(30, 75)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.296
Graph:: bipartite
	v = 3 e = 60 f = 3
	degree seq :: [ 30^2, 60 ]

E28.313 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3, (Y3^-1 * Y2^-1)^2, Y2^-1 * Y3^-2 * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3 * Y2 * Y1^-1, Y2 * Y3 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^6 * Y2^-1 * Y3 * Y2^-7, Y1^15, (Y3^-1 * Y1^-1)^15, (Y2^-1 * Y1)^30 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 6, 36, 11, 41, 15, 45, 19, 49, 23, 53, 27, 57, 30, 60, 25, 55, 22, 52, 17, 47, 14, 44, 9, 39, 4, 34)(3, 33, 7, 37, 5, 35, 8, 38, 12, 42, 16, 46, 20, 50, 24, 54, 28, 58, 29, 59, 26, 56, 21, 51, 18, 48, 13, 43, 10, 40)(61, 91, 63, 93, 69, 99, 73, 103, 77, 107, 81, 111, 85, 115, 89, 119, 87, 117, 84, 114, 79, 109, 76, 106, 71, 101, 68, 98, 62, 92, 67, 97, 64, 94, 70, 100, 74, 104, 78, 108, 82, 112, 86, 116, 90, 120, 88, 118, 83, 113, 80, 110, 75, 105, 72, 102, 66, 96, 65, 95)
	L = (1, 62)(2, 66)(3, 67)(4, 61)(5, 68)(6, 71)(7, 65)(8, 72)(9, 64)(10, 63)(11, 75)(12, 76)(13, 70)(14, 69)(15, 79)(16, 80)(17, 74)(18, 73)(19, 83)(20, 84)(21, 78)(22, 77)(23, 87)(24, 88)(25, 82)(26, 81)(27, 90)(28, 89)(29, 86)(30, 85)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.319
Graph:: bipartite
	v = 3 e = 60 f = 3
	degree seq :: [ 30^2, 60 ]

E28.314 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^2, Y1^-1 * Y2^2, (Y3, Y2^-1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1^3 * Y3^-1 * Y1^4, (Y2^-1 * Y3)^30 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 17, 47, 25, 55, 21, 51, 13, 43, 4, 34, 7, 37, 10, 40, 19, 49, 27, 57, 23, 53, 15, 45, 5, 35)(3, 33, 9, 39, 18, 48, 26, 56, 29, 59, 22, 52, 14, 44, 11, 41, 12, 42, 20, 50, 28, 58, 30, 60, 24, 54, 16, 46, 6, 36)(61, 91, 63, 93, 62, 92, 69, 99, 68, 98, 78, 108, 77, 107, 86, 116, 85, 115, 89, 119, 81, 111, 82, 112, 73, 103, 74, 104, 64, 94, 71, 101, 67, 97, 72, 102, 70, 100, 80, 110, 79, 109, 88, 118, 87, 117, 90, 120, 83, 113, 84, 114, 75, 105, 76, 106, 65, 95, 66, 96)
	L = (1, 64)(2, 67)(3, 71)(4, 65)(5, 73)(6, 74)(7, 61)(8, 70)(9, 72)(10, 62)(11, 66)(12, 63)(13, 75)(14, 76)(15, 81)(16, 82)(17, 79)(18, 80)(19, 68)(20, 69)(21, 83)(22, 84)(23, 85)(24, 89)(25, 87)(26, 88)(27, 77)(28, 78)(29, 90)(30, 86)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.321
Graph:: bipartite
	v = 3 e = 60 f = 3
	degree seq :: [ 30^2, 60 ]

E28.315 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y3, (Y2, Y3^-1), Y2^-2 * Y3^-2, (R * Y2)^2, (R * Y1)^2, (Y2, Y1^-1), (R * Y3)^2, Y3 * Y2 * Y1^-1 * Y2 * Y1^-1, Y3^2 * Y2^-1 * Y3 * Y2^-3 * Y1^-1, Y1 * Y3^-7, Y2^30, Y2 * Y3^-1 * Y1 * Y2^2 * Y3^-1 * Y1 * Y2^2 * Y3^-1 * Y1 * Y2^2 * Y3^-1 * Y1 * Y2^2 * Y3^-1 * Y1 * Y2^2 * Y3^-1 * Y1 * Y2^2 * Y3^-1 * Y1 * Y2^2 * Y3^-1 * Y1 * Y2^2 * Y3^-1 * Y1 * Y2^2 * Y3^-1 * Y1 * Y2^2 * Y3^-1 * Y1 * Y2^2 * Y3^-1 * Y1 * Y2^2 * Y3^-1 * Y1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 10, 40, 11, 41, 19, 49, 22, 52, 28, 58, 29, 59, 23, 53, 24, 54, 15, 45, 16, 46, 4, 34, 5, 35)(3, 33, 8, 38, 14, 44, 20, 50, 21, 51, 27, 57, 30, 60, 25, 55, 26, 56, 17, 47, 18, 48, 6, 36, 9, 39, 12, 42, 13, 43)(61, 91, 63, 93, 71, 101, 81, 111, 89, 119, 86, 116, 76, 106, 69, 99, 62, 92, 68, 98, 79, 109, 87, 117, 83, 113, 77, 107, 64, 94, 72, 102, 67, 97, 74, 104, 82, 112, 90, 120, 84, 114, 78, 108, 65, 95, 73, 103, 70, 100, 80, 110, 88, 118, 85, 115, 75, 105, 66, 96)
	L = (1, 64)(2, 65)(3, 72)(4, 75)(5, 76)(6, 77)(7, 61)(8, 73)(9, 78)(10, 62)(11, 67)(12, 66)(13, 69)(14, 63)(15, 83)(16, 84)(17, 85)(18, 86)(19, 70)(20, 68)(21, 74)(22, 71)(23, 88)(24, 89)(25, 87)(26, 90)(27, 80)(28, 79)(29, 82)(30, 81)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.320
Graph:: bipartite
	v = 3 e = 60 f = 3
	degree seq :: [ 30^2, 60 ]

E28.316 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^2, Y2^-2 * Y3, (Y1^-1 * Y2^-1)^2, (Y1^-1, Y2), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^-7 * Y1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 10, 40, 16, 46, 18, 48, 24, 54, 26, 56, 29, 59, 21, 51, 22, 52, 13, 43, 14, 44, 4, 34, 5, 35)(3, 33, 8, 38, 6, 36, 9, 39, 15, 45, 17, 47, 23, 53, 25, 55, 30, 60, 27, 57, 28, 58, 19, 49, 20, 50, 11, 41, 12, 42)(61, 91, 63, 93, 64, 94, 71, 101, 73, 103, 79, 109, 81, 111, 87, 117, 86, 116, 85, 115, 78, 108, 77, 107, 70, 100, 69, 99, 62, 92, 68, 98, 65, 95, 72, 102, 74, 104, 80, 110, 82, 112, 88, 118, 89, 119, 90, 120, 84, 114, 83, 113, 76, 106, 75, 105, 67, 97, 66, 96)
	L = (1, 64)(2, 65)(3, 71)(4, 73)(5, 74)(6, 63)(7, 61)(8, 72)(9, 68)(10, 62)(11, 79)(12, 80)(13, 81)(14, 82)(15, 66)(16, 67)(17, 69)(18, 70)(19, 87)(20, 88)(21, 86)(22, 89)(23, 75)(24, 76)(25, 77)(26, 78)(27, 85)(28, 90)(29, 84)(30, 83)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 3 e = 60 f = 3
	degree seq :: [ 30^2, 60 ]

E28.317 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, Y2 * Y1^-1 * Y2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^15, (Y3^-1 * Y1^-1)^15, (Y3 * Y2^-1)^30 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 6, 36, 10, 40, 14, 44, 18, 48, 22, 52, 26, 56, 28, 58, 24, 54, 20, 50, 16, 46, 12, 42, 8, 38, 4, 34)(3, 33, 7, 37, 11, 41, 15, 45, 19, 49, 23, 53, 27, 57, 30, 60, 29, 59, 25, 55, 21, 51, 17, 47, 13, 43, 9, 39, 5, 35)(61, 91, 63, 93, 62, 92, 67, 97, 66, 96, 71, 101, 70, 100, 75, 105, 74, 104, 79, 109, 78, 108, 83, 113, 82, 112, 87, 117, 86, 116, 90, 120, 88, 118, 89, 119, 84, 114, 85, 115, 80, 110, 81, 111, 76, 106, 77, 107, 72, 102, 73, 103, 68, 98, 69, 99, 64, 94, 65, 95)
	L = (1, 62)(2, 66)(3, 67)(4, 61)(5, 63)(6, 70)(7, 71)(8, 64)(9, 65)(10, 74)(11, 75)(12, 68)(13, 69)(14, 78)(15, 79)(16, 72)(17, 73)(18, 82)(19, 83)(20, 76)(21, 77)(22, 86)(23, 87)(24, 80)(25, 81)(26, 88)(27, 90)(28, 84)(29, 85)(30, 89)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.318
Graph:: bipartite
	v = 3 e = 60 f = 3
	degree seq :: [ 30^2, 60 ]

E28.318 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^2, Y2^-2 * Y3, (R * Y1)^2, (R * Y3)^2, (Y1, Y2^-1), (R * Y2)^2, Y1 * Y2 * Y1^-2 * Y2^-1 * Y1, Y1^-7 * Y3 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 16, 46, 24, 54, 22, 52, 14, 44, 4, 34, 7, 37, 11, 41, 19, 49, 27, 57, 23, 53, 15, 45, 5, 35)(3, 33, 9, 39, 17, 47, 25, 55, 30, 60, 28, 58, 20, 50, 12, 42, 6, 36, 10, 40, 18, 48, 26, 56, 29, 59, 21, 51, 13, 43)(61, 91, 63, 93, 64, 94, 72, 102, 65, 95, 73, 103, 74, 104, 80, 110, 75, 105, 81, 111, 82, 112, 88, 118, 83, 113, 89, 119, 84, 114, 90, 120, 87, 117, 86, 116, 76, 106, 85, 115, 79, 109, 78, 108, 68, 98, 77, 107, 71, 101, 70, 100, 62, 92, 69, 99, 67, 97, 66, 96)
	L = (1, 64)(2, 67)(3, 72)(4, 65)(5, 74)(6, 63)(7, 61)(8, 71)(9, 66)(10, 69)(11, 62)(12, 73)(13, 80)(14, 75)(15, 82)(16, 79)(17, 70)(18, 77)(19, 68)(20, 81)(21, 88)(22, 83)(23, 84)(24, 87)(25, 78)(26, 85)(27, 76)(28, 89)(29, 90)(30, 86)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.317
Graph:: bipartite
	v = 3 e = 60 f = 3
	degree seq :: [ 30^2, 60 ]

E28.319 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^2, (Y2^-1, Y1), (Y2^-1, Y3^-1), Y1^-1 * Y2^-2 * Y1^-1, (R * Y3)^2, (Y2 * Y1)^2, (R * Y2)^2, (R * Y1)^2, Y1^-2 * Y2 * Y3 * Y2 * Y1^-3, (Y2^-1 * Y3^-1 * Y2^-1)^6, (Y2^-1 * Y3)^30 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 19, 49, 27, 57, 24, 54, 16, 46, 4, 34, 7, 37, 11, 41, 21, 51, 29, 59, 25, 55, 12, 42, 5, 35)(3, 33, 9, 39, 6, 36, 10, 40, 20, 50, 28, 58, 26, 56, 13, 43, 15, 45, 17, 47, 18, 48, 22, 52, 30, 60, 23, 53, 14, 44)(61, 91, 63, 93, 72, 102, 83, 113, 89, 119, 82, 112, 71, 101, 77, 107, 64, 94, 73, 103, 84, 114, 88, 118, 79, 109, 70, 100, 62, 92, 69, 99, 65, 95, 74, 104, 85, 115, 90, 120, 81, 111, 78, 108, 67, 97, 75, 105, 76, 106, 86, 116, 87, 117, 80, 110, 68, 98, 66, 96)
	L = (1, 64)(2, 67)(3, 73)(4, 65)(5, 76)(6, 77)(7, 61)(8, 71)(9, 75)(10, 78)(11, 62)(12, 84)(13, 74)(14, 86)(15, 63)(16, 72)(17, 69)(18, 66)(19, 81)(20, 82)(21, 68)(22, 70)(23, 88)(24, 85)(25, 87)(26, 83)(27, 89)(28, 90)(29, 79)(30, 80)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.313
Graph:: bipartite
	v = 3 e = 60 f = 3
	degree seq :: [ 30^2, 60 ]

E28.320 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-2, (Y2^-1, Y1), (Y2, Y3), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1^-1 * Y2^-4, Y2^2 * Y3^-4, Y3^3 * Y2^2 * Y1^-1, Y3 * Y2 * Y3^2 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 10, 40, 21, 51, 25, 55, 26, 56, 11, 41, 19, 49, 23, 53, 29, 59, 15, 45, 16, 46, 4, 34, 5, 35)(3, 33, 8, 38, 14, 44, 22, 52, 28, 58, 30, 60, 17, 47, 18, 48, 6, 36, 9, 39, 20, 50, 24, 54, 27, 57, 12, 42, 13, 43)(61, 91, 63, 93, 71, 101, 78, 108, 65, 95, 73, 103, 86, 116, 77, 107, 64, 94, 72, 102, 85, 115, 90, 120, 76, 106, 87, 117, 81, 111, 88, 118, 75, 105, 84, 114, 70, 100, 82, 112, 89, 119, 80, 110, 67, 97, 74, 104, 83, 113, 69, 99, 62, 92, 68, 98, 79, 109, 66, 96)
	L = (1, 64)(2, 65)(3, 72)(4, 75)(5, 76)(6, 77)(7, 61)(8, 73)(9, 78)(10, 62)(11, 85)(12, 84)(13, 87)(14, 63)(15, 83)(16, 89)(17, 88)(18, 90)(19, 86)(20, 66)(21, 67)(22, 68)(23, 71)(24, 69)(25, 70)(26, 81)(27, 80)(28, 74)(29, 79)(30, 82)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.315
Graph:: bipartite
	v = 3 e = 60 f = 3
	degree seq :: [ 30^2, 60 ]

E28.321 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, (Y1, Y2^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2 * Y1^-3 * Y2, Y1^-1 * Y2^-1 * Y1^-1 * Y2^-5 * Y1^-1, (Y3^-1 * Y1^-1)^15, (Y3 * Y2^-1)^30 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 6, 36, 14, 44, 9, 39, 17, 47, 24, 54, 30, 60, 27, 57, 28, 58, 21, 51, 13, 43, 18, 48, 11, 41, 4, 34)(3, 33, 7, 37, 15, 45, 23, 53, 19, 49, 25, 55, 29, 59, 22, 52, 26, 56, 20, 50, 12, 42, 5, 35, 8, 38, 16, 46, 10, 40)(61, 91, 63, 93, 69, 99, 79, 109, 87, 117, 86, 116, 78, 108, 68, 98, 62, 92, 67, 97, 77, 107, 85, 115, 88, 118, 80, 110, 71, 101, 76, 106, 66, 96, 75, 105, 84, 114, 89, 119, 81, 111, 72, 102, 64, 94, 70, 100, 74, 104, 83, 113, 90, 120, 82, 112, 73, 103, 65, 95)
	L = (1, 62)(2, 66)(3, 67)(4, 61)(5, 68)(6, 74)(7, 75)(8, 76)(9, 77)(10, 63)(11, 64)(12, 65)(13, 78)(14, 69)(15, 83)(16, 70)(17, 84)(18, 71)(19, 85)(20, 72)(21, 73)(22, 86)(23, 79)(24, 90)(25, 89)(26, 80)(27, 88)(28, 81)(29, 82)(30, 87)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.314
Graph:: bipartite
	v = 3 e = 60 f = 3
	degree seq :: [ 30^2, 60 ]

E28.322 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y3 * Y2^-1 * Y3, Y2^-1 * Y1^-1 * Y3 * Y1^-1, (Y2^-1, Y1^-1), (R * Y1)^2, Y1^-1 * Y2^-1 * Y3 * Y1^-1, Y1^-2 * Y3 * Y2^-1, (R * Y3)^2, (R * Y2)^2, Y2^-3 * Y1 * Y2^-4, (Y2 * Y1^-1)^5, Y1^21 * Y2^-3 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 15, 45, 14, 44, 18, 48, 24, 54, 29, 59, 28, 58, 19, 49, 25, 55, 20, 50, 13, 43, 3, 33, 8, 38, 4, 34, 9, 39, 6, 36, 10, 40, 16, 46, 23, 53, 22, 52, 26, 56, 30, 60, 27, 57, 21, 51, 11, 41, 17, 47, 12, 42, 5, 35)(61, 91, 63, 93, 71, 101, 79, 109, 86, 116, 78, 108, 70, 100, 62, 92, 68, 98, 77, 107, 85, 115, 90, 120, 84, 114, 76, 106, 67, 97, 64, 94, 72, 102, 80, 110, 87, 117, 89, 119, 83, 113, 75, 105, 69, 99, 65, 95, 73, 103, 81, 111, 88, 118, 82, 112, 74, 104, 66, 96)
	L = (1, 64)(2, 69)(3, 72)(4, 61)(5, 68)(6, 67)(7, 66)(8, 65)(9, 62)(10, 75)(11, 80)(12, 63)(13, 77)(14, 76)(15, 70)(16, 74)(17, 73)(18, 83)(19, 87)(20, 71)(21, 85)(22, 84)(23, 78)(24, 82)(25, 81)(26, 89)(27, 79)(28, 90)(29, 86)(30, 88)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30^60 ) }
Outer automorphisms :: reflexible
Dual of E28.279
Graph:: bipartite
	v = 2 e = 60 f = 4
	degree seq :: [ 60^2 ]

E28.323 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y3 * Y1^2, Y1^-1 * Y2 * Y3 * Y1^-1, Y3 * Y1 * Y2^-1 * Y1, (Y2, Y1^-1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2^-7 * Y1^-1, (Y2^-1 * Y1^-1)^5, Y2^2 * Y1^26 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 15, 45, 11, 41, 17, 47, 24, 54, 29, 59, 27, 57, 22, 52, 26, 56, 20, 50, 13, 43, 6, 36, 10, 40, 4, 34, 9, 39, 3, 33, 8, 38, 16, 46, 23, 53, 19, 49, 25, 55, 30, 60, 28, 58, 21, 51, 14, 44, 18, 48, 12, 42, 5, 35)(61, 91, 63, 93, 71, 101, 79, 109, 87, 117, 81, 111, 73, 103, 65, 95, 69, 99, 75, 105, 83, 113, 89, 119, 88, 118, 80, 110, 72, 102, 64, 94, 67, 97, 76, 106, 84, 114, 90, 120, 86, 116, 78, 108, 70, 100, 62, 92, 68, 98, 77, 107, 85, 115, 82, 112, 74, 104, 66, 96)
	L = (1, 64)(2, 69)(3, 67)(4, 61)(5, 70)(6, 72)(7, 63)(8, 75)(9, 62)(10, 65)(11, 76)(12, 66)(13, 78)(14, 80)(15, 68)(16, 71)(17, 83)(18, 73)(19, 84)(20, 74)(21, 86)(22, 88)(23, 77)(24, 79)(25, 89)(26, 81)(27, 90)(28, 82)(29, 85)(30, 87)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30^60 ) }
Outer automorphisms :: reflexible
Dual of E28.278
Graph:: bipartite
	v = 2 e = 60 f = 4
	degree seq :: [ 60^2 ]

E28.324 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3 * Y1 * Y2, Y1^-1 * Y2^-2 * Y3^-1, Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, (R * Y2)^2, (Y2, Y3^-1), (R * Y1)^2, (Y3, Y1^-1), (R * Y3)^2, (Y2^-1, Y1^-1), Y1^-1 * Y2 * Y1^-3 * Y2, Y2^5 * Y3^-1, Y2 * Y3^3 * Y1^-2, Y1 * Y3^2 * Y2^-1 * Y3 * Y1, Y1^-1 * Y3 * Y2 * Y3 * Y1^-1 * Y3, Y3^-1 * Y1^-5, Y3^-1 * Y1^2 * Y3 * Y2^-1 * Y1^-2 * Y2, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 22, 52, 13, 43, 7, 37, 12, 42, 26, 56, 19, 49, 29, 59, 21, 51, 30, 60, 14, 44, 6, 36, 11, 41, 25, 55, 15, 45, 3, 33, 9, 39, 23, 53, 17, 47, 28, 58, 16, 46, 27, 57, 18, 48, 4, 34, 10, 40, 24, 54, 20, 50, 5, 35)(61, 91, 63, 93, 73, 103, 88, 118, 79, 109, 64, 94, 74, 104, 65, 95, 75, 105, 82, 112, 77, 107, 86, 116, 78, 108, 90, 120, 80, 110, 85, 115, 68, 98, 83, 113, 72, 102, 87, 117, 81, 111, 84, 114, 71, 101, 62, 92, 69, 99, 67, 97, 76, 106, 89, 119, 70, 100, 66, 96)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 78)(6, 79)(7, 61)(8, 84)(9, 66)(10, 88)(11, 89)(12, 62)(13, 65)(14, 86)(15, 90)(16, 63)(17, 85)(18, 83)(19, 82)(20, 87)(21, 67)(22, 80)(23, 71)(24, 76)(25, 81)(26, 68)(27, 69)(28, 75)(29, 73)(30, 72)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30^60 ) }
Outer automorphisms :: reflexible
Dual of E28.280
Graph:: bipartite
	v = 2 e = 60 f = 4
	degree seq :: [ 60^2 ]

E28.325 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1 * Y3 * Y2^-1, (Y1, Y2^-1), Y2^-2 * Y3 * Y1, Y3 * Y1^-3, (Y2, Y3^-1), Y3 * Y2^-1 * Y1 * Y2^-1, (Y3, Y1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^-1 * Y2^-1 * Y1^-1 * Y3^-3, Y1^-1 * Y3^2 * Y2^-1 * Y1^-1 * Y2^-1, Y2^21 * Y3, (Y1^-1 * Y3^-1)^15 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 4, 34, 10, 40, 21, 51, 15, 45, 24, 54, 30, 60, 28, 58, 18, 48, 25, 55, 16, 46, 6, 36, 11, 41, 22, 52, 14, 44, 3, 33, 9, 39, 20, 50, 13, 43, 23, 53, 29, 59, 27, 57, 19, 49, 26, 56, 17, 47, 7, 37, 12, 42, 5, 35)(61, 91, 63, 93, 70, 100, 83, 113, 90, 120, 86, 116, 76, 106, 65, 95, 74, 104, 64, 94, 73, 103, 84, 114, 79, 109, 85, 115, 72, 102, 82, 112, 68, 98, 80, 110, 75, 105, 87, 117, 78, 108, 67, 97, 71, 101, 62, 92, 69, 99, 81, 111, 89, 119, 88, 118, 77, 107, 66, 96)
	L = (1, 64)(2, 70)(3, 73)(4, 75)(5, 68)(6, 74)(7, 61)(8, 81)(9, 83)(10, 84)(11, 63)(12, 62)(13, 87)(14, 80)(15, 88)(16, 82)(17, 65)(18, 66)(19, 67)(20, 89)(21, 90)(22, 69)(23, 79)(24, 78)(25, 71)(26, 72)(27, 77)(28, 76)(29, 86)(30, 85)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30^60 ) }
Outer automorphisms :: reflexible
Dual of E28.282
Graph:: bipartite
	v = 2 e = 60 f = 4
	degree seq :: [ 60^2 ]

E28.326 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 15, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3 * Y1^-2, (Y3^-1, Y1^-1), Y2 * Y3^-1 * Y2^2, (R * Y2)^2, (Y3, Y2), (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y1)^2, Y2 * Y1^-1 * Y3 * Y2 * Y3^2, Y2^-1 * Y3^-2 * Y1^-1 * Y2^-1 * Y1^-1, Y3^3 * Y2^-1 * Y3 * Y1^-1, Y1^-1 * Y2 * Y3 * Y1 * Y2^-1 * Y3^-1, Y3^-1 * Y2^-2 * Y3^-1 * Y1^-2, (Y1^-1 * Y3^-1)^15 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 4, 34, 10, 40, 23, 53, 17, 47, 28, 58, 16, 46, 27, 57, 15, 45, 3, 33, 9, 39, 22, 52, 14, 44, 26, 56, 20, 50, 29, 59, 18, 48, 6, 36, 11, 41, 24, 54, 13, 43, 25, 55, 21, 51, 30, 60, 19, 49, 7, 37, 12, 42, 5, 35)(61, 91, 63, 93, 73, 103, 64, 94, 74, 104, 90, 120, 77, 107, 89, 119, 72, 102, 87, 117, 71, 101, 62, 92, 69, 99, 85, 115, 70, 100, 86, 116, 79, 109, 88, 118, 78, 108, 65, 95, 75, 105, 84, 114, 68, 98, 82, 112, 81, 111, 83, 113, 80, 110, 67, 97, 76, 106, 66, 96)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 68)(6, 73)(7, 61)(8, 83)(9, 86)(10, 88)(11, 85)(12, 62)(13, 90)(14, 89)(15, 82)(16, 63)(17, 87)(18, 84)(19, 65)(20, 66)(21, 67)(22, 80)(23, 76)(24, 81)(25, 79)(26, 78)(27, 69)(28, 75)(29, 71)(30, 72)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30^60 ) }
Outer automorphisms :: reflexible
Dual of E28.281
Graph:: bipartite
	v = 2 e = 60 f = 4
	degree seq :: [ 60^2 ]

E28.327 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 30, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2 * Y3 * Y1, Y2 * Y1 * Y3, (R * Y1)^2, Y1^-1 * Y3 * Y2^-1 * Y3, (R * Y3)^2, (R * Y2)^2, Y2^6 * Y1^-4, Y1^10, (Y2^-1 * Y1)^15 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 16, 46, 22, 52, 28, 58, 26, 56, 19, 49, 14, 44, 5, 35)(3, 33, 7, 37, 10, 40, 15, 45, 18, 48, 24, 54, 30, 60, 25, 55, 21, 51, 12, 42)(4, 34, 6, 36, 9, 39, 17, 47, 23, 53, 29, 59, 27, 57, 20, 50, 11, 41, 13, 43)(61, 91, 63, 93, 71, 101, 79, 109, 85, 115, 89, 119, 82, 112, 78, 108, 69, 99, 62, 92, 67, 97, 73, 103, 74, 104, 81, 111, 87, 117, 88, 118, 84, 114, 77, 107, 68, 98, 70, 100, 64, 94, 65, 95, 72, 102, 80, 110, 86, 116, 90, 120, 83, 113, 76, 106, 75, 105, 66, 96)
	L = (1, 64)(2, 66)(3, 65)(4, 67)(5, 73)(6, 70)(7, 61)(8, 69)(9, 75)(10, 62)(11, 72)(12, 74)(13, 63)(14, 71)(15, 68)(16, 77)(17, 78)(18, 76)(19, 80)(20, 81)(21, 79)(22, 83)(23, 84)(24, 82)(25, 86)(26, 87)(27, 85)(28, 89)(29, 90)(30, 88)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 60^20 ), ( 60^60 ) }
Outer automorphisms :: reflexible
Dual of E28.333
Graph:: bipartite
	v = 4 e = 60 f = 2
	degree seq :: [ 20^3, 60 ]

E28.328 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 30, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2^3 * Y1^-1, (R * Y2)^2, (Y2, Y3^-1), (Y2^-1, Y1^-1), (Y3^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y1^-10, Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 21, 51, 26, 56, 30, 60, 27, 57, 13, 43, 18, 48, 5, 35)(3, 33, 9, 39, 20, 50, 7, 37, 12, 42, 23, 53, 17, 47, 25, 55, 28, 58, 14, 44)(4, 34, 10, 40, 19, 49, 6, 36, 11, 41, 22, 52, 29, 59, 15, 45, 24, 54, 16, 46)(61, 91, 63, 93, 71, 101, 62, 92, 69, 99, 82, 112, 68, 98, 80, 110, 89, 119, 81, 111, 67, 97, 75, 105, 86, 116, 72, 102, 84, 114, 90, 120, 83, 113, 76, 106, 87, 117, 77, 107, 64, 94, 73, 103, 85, 115, 70, 100, 78, 108, 88, 118, 79, 109, 65, 95, 74, 104, 66, 96)
	L = (1, 64)(2, 70)(3, 73)(4, 67)(5, 76)(6, 77)(7, 61)(8, 79)(9, 78)(10, 72)(11, 85)(12, 62)(13, 75)(14, 87)(15, 63)(16, 80)(17, 81)(18, 84)(19, 83)(20, 65)(21, 66)(22, 88)(23, 68)(24, 69)(25, 86)(26, 71)(27, 89)(28, 90)(29, 74)(30, 82)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 60^20 ), ( 60^60 ) }
Outer automorphisms :: reflexible
Dual of E28.334
Graph:: bipartite
	v = 4 e = 60 f = 2
	degree seq :: [ 20^3, 60 ]

E28.329 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 30, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y3, Y1), (R * Y2)^2, (Y1, Y2^-1), Y2^-1 * Y1^-1 * Y2^-2, (R * Y3)^2, (Y2^-1, Y3^-1), (R * Y1)^2, Y2^-1 * Y1 * Y3^-1 * Y1^2, Y1^-1 * Y2 * Y3 * Y1^-2, Y3 * Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 14, 44, 24, 54, 30, 60, 29, 59, 21, 51, 19, 49, 5, 35)(3, 33, 9, 39, 22, 52, 27, 57, 18, 48, 26, 56, 20, 50, 7, 37, 12, 42, 15, 45)(4, 34, 10, 40, 23, 53, 16, 46, 25, 55, 28, 58, 13, 43, 6, 36, 11, 41, 17, 47)(61, 91, 63, 93, 73, 103, 65, 95, 75, 105, 88, 118, 79, 109, 72, 102, 85, 115, 81, 111, 67, 97, 76, 106, 89, 119, 80, 110, 83, 113, 90, 120, 86, 116, 70, 100, 84, 114, 78, 108, 64, 94, 74, 104, 87, 117, 77, 107, 68, 98, 82, 112, 71, 101, 62, 92, 69, 99, 66, 96)
	L = (1, 64)(2, 70)(3, 74)(4, 67)(5, 77)(6, 78)(7, 61)(8, 83)(9, 84)(10, 72)(11, 86)(12, 62)(13, 87)(14, 76)(15, 68)(16, 63)(17, 80)(18, 81)(19, 71)(20, 65)(21, 66)(22, 90)(23, 75)(24, 85)(25, 69)(26, 79)(27, 89)(28, 82)(29, 73)(30, 88)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 60^20 ), ( 60^60 ) }
Outer automorphisms :: reflexible
Dual of E28.332
Graph:: bipartite
	v = 4 e = 60 f = 2
	degree seq :: [ 20^3, 60 ]

E28.330 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 30, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y2^-1), (Y2^-1 * Y3^-1)^2, Y3^2 * Y2^2, (Y3^-1, Y1^-1), (R * Y1)^2, (Y1^-1, Y2), (R * Y3)^2, (R * Y2)^2, Y3^-3 * Y1^-2, Y1 * Y3 * Y1 * Y2^-2, Y2^-1 * Y3^2 * Y1^-3, Y3 * Y1^-1 * Y3 * Y2^-1 * Y1^-2, Y2^-1 * Y3^-1 * Y1^5, (Y3 * Y2)^4, Y2^-14 * Y3, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 23, 53, 30, 60, 14, 44, 27, 57, 29, 59, 20, 50, 5, 35)(3, 33, 9, 39, 24, 54, 17, 47, 22, 52, 7, 37, 12, 42, 25, 55, 19, 49, 15, 45)(4, 34, 10, 40, 13, 43, 26, 56, 21, 51, 6, 36, 11, 41, 16, 46, 28, 58, 18, 48)(61, 91, 63, 93, 73, 103, 89, 119, 85, 115, 78, 108, 90, 120, 82, 112, 71, 101, 62, 92, 69, 99, 86, 116, 80, 110, 79, 109, 64, 94, 74, 104, 67, 97, 76, 106, 68, 98, 84, 114, 81, 111, 65, 95, 75, 105, 70, 100, 87, 117, 72, 102, 88, 118, 83, 113, 77, 107, 66, 96)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 78)(6, 79)(7, 61)(8, 73)(9, 87)(10, 82)(11, 75)(12, 62)(13, 67)(14, 66)(15, 90)(16, 63)(17, 80)(18, 84)(19, 83)(20, 88)(21, 85)(22, 65)(23, 86)(24, 89)(25, 68)(26, 72)(27, 71)(28, 69)(29, 76)(30, 81)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 60^20 ), ( 60^60 ) }
Outer automorphisms :: reflexible
Dual of E28.335
Graph:: bipartite
	v = 4 e = 60 f = 2
	degree seq :: [ 20^3, 60 ]

E28.331 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 30, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-2, (Y3, Y1), (Y2^-1, Y1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y1 * Y2^-1 * Y1^2, Y1^-1 * Y3 * Y2 * Y1^-2, Y3 * Y1 * Y3^2 * Y2 * Y3, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-2 * Y2^-1, Y3^15 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 13, 43, 24, 54, 30, 60, 28, 58, 20, 50, 17, 47, 5, 35)(3, 33, 9, 39, 22, 52, 15, 45, 25, 55, 29, 59, 19, 49, 7, 37, 12, 42, 14, 44)(4, 34, 10, 40, 23, 53, 27, 57, 21, 51, 26, 56, 18, 48, 6, 36, 11, 41, 16, 46)(61, 91, 63, 93, 64, 94, 73, 103, 75, 105, 87, 117, 88, 118, 79, 109, 78, 108, 65, 95, 74, 104, 76, 106, 68, 98, 82, 112, 83, 113, 90, 120, 89, 119, 86, 116, 77, 107, 72, 102, 71, 101, 62, 92, 69, 99, 70, 100, 84, 114, 85, 115, 81, 111, 80, 110, 67, 97, 66, 96)
	L = (1, 64)(2, 70)(3, 73)(4, 75)(5, 76)(6, 63)(7, 61)(8, 83)(9, 84)(10, 85)(11, 69)(12, 62)(13, 87)(14, 68)(15, 88)(16, 82)(17, 71)(18, 74)(19, 65)(20, 66)(21, 67)(22, 90)(23, 89)(24, 81)(25, 80)(26, 72)(27, 79)(28, 78)(29, 77)(30, 86)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 60^20 ), ( 60^60 ) }
Outer automorphisms :: reflexible
Dual of E28.336
Graph:: bipartite
	v = 4 e = 60 f = 2
	degree seq :: [ 20^3, 60 ]

E28.332 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 30, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (R * Y1)^2, (Y3, Y2^-1), (Y1, Y3), (Y1^-1, Y2^-1), (R * Y2)^2, (R * Y3)^2, Y1^-1 * Y2 * Y3 * Y1^-2, Y3 * Y2 * Y1 * Y2^2, Y2^-2 * Y3 * Y2^-1 * Y3 * Y1^-1, Y1^-2 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1, (Y2^-1 * Y1)^5, (Y1^-1 * Y3 * Y2^-1)^5 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 14, 44, 22, 52, 28, 58, 30, 60, 18, 48, 27, 57, 21, 51, 7, 37, 12, 42, 15, 45, 3, 33, 9, 39, 24, 54, 20, 50, 6, 36, 11, 41, 17, 47, 4, 34, 10, 40, 25, 55, 16, 46, 26, 56, 29, 59, 13, 43, 23, 53, 19, 49, 5, 35)(61, 91, 63, 93, 73, 103, 81, 111, 85, 115, 88, 118, 71, 101, 62, 92, 69, 99, 83, 113, 67, 97, 76, 106, 90, 120, 77, 107, 68, 98, 84, 114, 79, 109, 72, 102, 86, 116, 78, 108, 64, 94, 74, 104, 80, 110, 65, 95, 75, 105, 89, 119, 87, 117, 70, 100, 82, 112, 66, 96)
	L = (1, 64)(2, 70)(3, 74)(4, 67)(5, 77)(6, 78)(7, 61)(8, 85)(9, 82)(10, 72)(11, 87)(12, 62)(13, 80)(14, 76)(15, 68)(16, 63)(17, 81)(18, 83)(19, 71)(20, 90)(21, 65)(22, 86)(23, 66)(24, 88)(25, 75)(26, 69)(27, 79)(28, 89)(29, 84)(30, 73)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.329
Graph:: bipartite
	v = 2 e = 60 f = 4
	degree seq :: [ 60^2 ]

E28.333 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 30, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2^-1 * Y1^-1 * Y3, Y1^-1 * Y2^-1 * Y3, Y1 * Y3 * Y2 * Y3, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2^5 * Y1^-5, (Y1^-1 * Y2)^5, Y1^30 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 16, 46, 22, 52, 28, 58, 27, 57, 20, 50, 11, 41, 12, 42, 7, 37, 6, 36, 10, 40, 17, 47, 23, 53, 29, 59, 25, 55, 21, 51, 13, 43, 3, 33, 4, 34, 9, 39, 15, 45, 18, 48, 24, 54, 30, 60, 26, 56, 19, 49, 14, 44, 5, 35)(61, 91, 63, 93, 71, 101, 79, 109, 85, 115, 88, 118, 84, 114, 77, 107, 68, 98, 69, 99, 67, 97, 65, 95, 73, 103, 80, 110, 86, 116, 89, 119, 82, 112, 78, 108, 70, 100, 62, 92, 64, 94, 72, 102, 74, 104, 81, 111, 87, 117, 90, 120, 83, 113, 76, 106, 75, 105, 66, 96)
	L = (1, 64)(2, 69)(3, 72)(4, 67)(5, 63)(6, 62)(7, 61)(8, 75)(9, 66)(10, 68)(11, 74)(12, 65)(13, 71)(14, 73)(15, 70)(16, 78)(17, 76)(18, 77)(19, 81)(20, 79)(21, 80)(22, 84)(23, 82)(24, 83)(25, 87)(26, 85)(27, 86)(28, 90)(29, 88)(30, 89)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.327
Graph:: bipartite
	v = 2 e = 60 f = 4
	degree seq :: [ 60^2 ]

E28.334 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 30, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y3, Y1^-1), (R * Y3)^2, (R * Y2)^2, (Y2^-1, Y1^-1), (R * Y1)^2, (Y3^-1, Y2^-1), Y3^-1 * Y2^3 * Y1^-1, Y3 * Y1^2 * Y2 * Y1, Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-2, Y3^-1 * Y2^-2 * Y1 * Y3^-1 * Y2^-1, Y2^-1 * Y1^2 * Y2^-1 * Y3 * Y1^-1 * Y2^-1, (Y1^-1 * Y2)^5, Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 23, 53, 28, 58, 30, 60, 15, 45, 3, 33, 9, 39, 21, 51, 7, 37, 12, 42, 25, 55, 18, 48, 13, 43, 26, 56, 22, 52, 16, 46, 27, 57, 17, 47, 4, 34, 10, 40, 20, 50, 6, 36, 11, 41, 24, 54, 29, 59, 14, 44, 19, 49, 5, 35)(61, 91, 63, 93, 73, 103, 70, 100, 79, 109, 90, 120, 85, 115, 77, 107, 89, 119, 83, 113, 67, 97, 76, 106, 71, 101, 62, 92, 69, 99, 86, 116, 80, 110, 65, 95, 75, 105, 78, 108, 64, 94, 74, 104, 88, 118, 72, 102, 87, 117, 84, 114, 68, 98, 81, 111, 82, 112, 66, 96)
	L = (1, 64)(2, 70)(3, 74)(4, 67)(5, 77)(6, 78)(7, 61)(8, 80)(9, 79)(10, 72)(11, 73)(12, 62)(13, 88)(14, 76)(15, 89)(16, 63)(17, 81)(18, 83)(19, 87)(20, 85)(21, 65)(22, 75)(23, 66)(24, 86)(25, 68)(26, 90)(27, 69)(28, 71)(29, 82)(30, 84)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.328
Graph:: bipartite
	v = 2 e = 60 f = 4
	degree seq :: [ 60^2 ]

E28.335 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 30, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, (Y1^-1, Y3^-1), (Y3 * Y2)^2, (R * Y2)^2, Y2^-2 * Y3^-2, (R * Y1)^2, (Y2^-1, Y1^-1), (R * Y3)^2, Y1^-1 * Y2^3 * Y3^-1, Y3^3 * Y1 * Y2^-1, Y3 * Y1^4, Y1 * Y3^-1 * Y2 * Y1^2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 22, 52, 7, 37, 12, 42, 25, 55, 19, 49, 13, 43, 26, 56, 21, 51, 6, 36, 11, 41, 24, 54, 29, 59, 14, 44, 27, 57, 30, 60, 15, 45, 3, 33, 9, 39, 23, 53, 17, 47, 16, 46, 28, 58, 18, 48, 4, 34, 10, 40, 20, 50, 5, 35)(61, 91, 63, 93, 73, 103, 70, 100, 87, 117, 72, 102, 88, 118, 84, 114, 68, 98, 83, 113, 81, 111, 65, 95, 75, 105, 79, 109, 64, 94, 74, 104, 67, 97, 76, 106, 71, 101, 62, 92, 69, 99, 86, 116, 80, 110, 90, 120, 85, 115, 78, 108, 89, 119, 82, 112, 77, 107, 66, 96)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 78)(6, 79)(7, 61)(8, 80)(9, 87)(10, 76)(11, 73)(12, 62)(13, 67)(14, 66)(15, 89)(16, 63)(17, 75)(18, 83)(19, 82)(20, 88)(21, 85)(22, 65)(23, 90)(24, 86)(25, 68)(26, 72)(27, 71)(28, 69)(29, 81)(30, 84)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.330
Graph:: bipartite
	v = 2 e = 60 f = 4
	degree seq :: [ 60^2 ]

E28.336 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 30, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-1 * Y2, Y1 * Y2 * Y3^-1, Y3 * Y2^2 * Y3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1^3 * Y2^-1 * Y1^4, (Y3^-1 * Y1^-1)^10, Y3^30 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 17, 47, 25, 55, 22, 52, 13, 43, 3, 33, 4, 34, 9, 39, 18, 48, 26, 56, 29, 59, 21, 51, 11, 41, 12, 42, 14, 44, 20, 50, 28, 58, 30, 60, 24, 54, 16, 46, 7, 37, 6, 36, 10, 40, 19, 49, 27, 57, 23, 53, 15, 45, 5, 35)(61, 91, 63, 93, 71, 101, 76, 106, 75, 105, 82, 112, 89, 119, 90, 120, 87, 117, 77, 107, 78, 108, 80, 110, 70, 100, 62, 92, 64, 94, 72, 102, 67, 97, 65, 95, 73, 103, 81, 111, 84, 114, 83, 113, 85, 115, 86, 116, 88, 118, 79, 109, 68, 98, 69, 99, 74, 104, 66, 96)
	L = (1, 64)(2, 69)(3, 72)(4, 74)(5, 63)(6, 62)(7, 61)(8, 78)(9, 80)(10, 68)(11, 67)(12, 66)(13, 71)(14, 70)(15, 73)(16, 65)(17, 86)(18, 88)(19, 77)(20, 79)(21, 76)(22, 81)(23, 82)(24, 75)(25, 89)(26, 90)(27, 85)(28, 87)(29, 84)(30, 83)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.331
Graph:: bipartite
	v = 2 e = 60 f = 4
	degree seq :: [ 60^2 ]

E28.337 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 32, 32})
Quotient :: dipole
Aut^+ = C32 (small group id <32, 1>)
Aut   = D64 (small group id <64, 52>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-3, Y2 * Y1^-3, Y2^2 * Y1^2, (R * Y2)^2, (R * Y1)^2, (Y3, Y1), (R * Y3)^2, (Y3^-1, Y2^-1), Y3^2 * Y2 * Y3^2, Y1^-1 * Y3 * Y2 * Y1^-1 * Y3^-1 * Y1^-1, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 3, 35, 9, 41, 6, 38, 11, 43, 5, 37)(4, 36, 10, 42, 21, 53, 13, 45, 23, 55, 17, 49, 26, 58, 16, 48)(7, 39, 12, 44, 22, 54, 14, 46, 24, 56, 19, 51, 27, 59, 18, 50)(15, 47, 25, 57, 32, 64, 20, 52, 28, 60, 31, 63, 29, 61, 30, 62)(65, 97, 67, 99, 75, 107, 66, 98, 73, 105, 69, 101, 72, 104, 70, 102)(68, 100, 77, 109, 90, 122, 74, 106, 87, 119, 80, 112, 85, 117, 81, 113)(71, 103, 78, 110, 91, 123, 76, 108, 88, 120, 82, 114, 86, 118, 83, 115)(79, 111, 84, 116, 93, 125, 89, 121, 92, 124, 94, 126, 96, 128, 95, 127)
	L = (1, 68)(2, 74)(3, 77)(4, 79)(5, 80)(6, 81)(7, 65)(8, 85)(9, 87)(10, 89)(11, 90)(12, 66)(13, 84)(14, 67)(15, 83)(16, 94)(17, 95)(18, 69)(19, 70)(20, 71)(21, 96)(22, 72)(23, 92)(24, 73)(25, 91)(26, 93)(27, 75)(28, 76)(29, 78)(30, 88)(31, 86)(32, 82)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 64^16 ) }
Outer automorphisms :: reflexible
Dual of E28.356
Graph:: bipartite
	v = 8 e = 64 f = 2
	degree seq :: [ 16^8 ]

E28.338 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 32, 32})
Quotient :: dipole
Aut^+ = C32 (small group id <32, 1>)
Aut   = D64 (small group id <64, 52>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1^2, Y1^-2 * Y2^-1 * Y1^-1, Y2^-3 * Y1^-1, (Y2 * Y1^-1)^2, (Y1^-1, Y2), (R * Y1)^2, (R * Y2)^2, (Y1, Y3^-1), (R * Y3)^2, (Y3^-1, Y2^-1), Y3^2 * Y2 * Y3^2, Y3 * Y1 * Y3 * Y1 * Y3^2 * Y2^-1, Y3^-1 * Y1 * Y3^-2 * Y1 * Y3^-1 * Y1, Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 6, 38, 11, 43, 3, 35, 9, 41, 5, 37)(4, 36, 10, 42, 21, 53, 17, 49, 26, 58, 13, 45, 23, 55, 16, 48)(7, 39, 12, 44, 22, 54, 19, 51, 27, 59, 14, 46, 24, 56, 18, 50)(15, 47, 25, 57, 29, 61, 31, 63, 32, 64, 20, 52, 28, 60, 30, 62)(65, 97, 67, 99, 72, 104, 69, 101, 75, 107, 66, 98, 73, 105, 70, 102)(68, 100, 77, 109, 85, 117, 80, 112, 90, 122, 74, 106, 87, 119, 81, 113)(71, 103, 78, 110, 86, 118, 82, 114, 91, 123, 76, 108, 88, 120, 83, 115)(79, 111, 84, 116, 93, 125, 94, 126, 96, 128, 89, 121, 92, 124, 95, 127)
	L = (1, 68)(2, 74)(3, 77)(4, 79)(5, 80)(6, 81)(7, 65)(8, 85)(9, 87)(10, 89)(11, 90)(12, 66)(13, 84)(14, 67)(15, 83)(16, 94)(17, 95)(18, 69)(19, 70)(20, 71)(21, 93)(22, 72)(23, 92)(24, 73)(25, 91)(26, 96)(27, 75)(28, 76)(29, 78)(30, 86)(31, 88)(32, 82)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 64^16 ) }
Outer automorphisms :: reflexible
Dual of E28.355
Graph:: bipartite
	v = 8 e = 64 f = 2
	degree seq :: [ 16^8 ]

E28.339 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 32, 32})
Quotient :: dipole
Aut^+ = C32 (small group id <32, 1>)
Aut   = D64 (small group id <64, 52>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y1)^2, (Y2^-1, Y1^-1), (R * Y3)^2, Y2^4 * Y1, (R * Y2 * Y3^-1)^2, Y1^8, (Y3^-1 * Y1^-1)^8, (Y3 * Y2^-1)^32 ]
Map::
	R = (1, 33, 2, 34, 6, 38, 14, 46, 22, 54, 20, 52, 11, 43, 4, 36)(3, 35, 7, 39, 15, 47, 23, 55, 29, 61, 27, 59, 19, 51, 10, 42)(5, 37, 8, 40, 16, 48, 24, 56, 30, 62, 28, 60, 21, 53, 12, 44)(9, 41, 13, 45, 17, 49, 25, 57, 31, 63, 32, 64, 26, 58, 18, 50)(65, 97, 67, 99, 73, 105, 76, 108, 68, 100, 74, 106, 82, 114, 85, 117, 75, 107, 83, 115, 90, 122, 92, 124, 84, 116, 91, 123, 96, 128, 94, 126, 86, 118, 93, 125, 95, 127, 88, 120, 78, 110, 87, 119, 89, 121, 80, 112, 70, 102, 79, 111, 81, 113, 72, 104, 66, 98, 71, 103, 77, 109, 69, 101)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64 ), ( 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 5 e = 64 f = 5
	degree seq :: [ 16^4, 64 ]

E28.340 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 32, 32})
Quotient :: dipole
Aut^+ = C32 (small group id <32, 1>)
Aut   = D64 (small group id <64, 52>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y2^-4 * Y1, (R * Y2 * Y3^-1)^2, Y1^8, (Y3^-1 * Y1^-1)^8, (Y3 * Y2^-1)^32 ]
Map::
	R = (1, 33, 2, 34, 6, 38, 14, 46, 22, 54, 19, 51, 11, 43, 4, 36)(3, 35, 7, 39, 15, 47, 23, 55, 29, 61, 26, 58, 18, 50, 10, 42)(5, 37, 8, 40, 16, 48, 24, 56, 30, 62, 27, 59, 20, 52, 12, 44)(9, 41, 17, 49, 25, 57, 31, 63, 32, 64, 28, 60, 21, 53, 13, 45)(65, 97, 67, 99, 73, 105, 72, 104, 66, 98, 71, 103, 81, 113, 80, 112, 70, 102, 79, 111, 89, 121, 88, 120, 78, 110, 87, 119, 95, 127, 94, 126, 86, 118, 93, 125, 96, 128, 91, 123, 83, 115, 90, 122, 92, 124, 84, 116, 75, 107, 82, 114, 85, 117, 76, 108, 68, 100, 74, 106, 77, 109, 69, 101)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64 ), ( 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 5 e = 64 f = 5
	degree seq :: [ 16^4, 64 ]

E28.341 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 32, 32})
Quotient :: dipole
Aut^+ = C32 (small group id <32, 1>)
Aut   = D64 (small group id <64, 52>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (Y2^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^4 * Y1^3, Y1^-8, Y1^8, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^2 * Y2^-2 * Y1, (Y3^-1 * Y1^-1)^8, (Y3 * Y2^-1)^32 ]
Map::
	R = (1, 33, 2, 34, 6, 38, 14, 46, 26, 58, 22, 54, 11, 43, 4, 36)(3, 35, 7, 39, 15, 47, 25, 57, 29, 61, 32, 64, 21, 53, 10, 42)(5, 37, 8, 40, 16, 48, 27, 59, 30, 62, 19, 51, 23, 55, 12, 44)(9, 41, 17, 49, 24, 56, 13, 45, 18, 50, 28, 60, 31, 63, 20, 52)(65, 97, 67, 99, 73, 105, 83, 115, 86, 118, 96, 128, 92, 124, 80, 112, 70, 102, 79, 111, 88, 120, 76, 108, 68, 100, 74, 106, 84, 116, 94, 126, 90, 122, 93, 125, 82, 114, 72, 104, 66, 98, 71, 103, 81, 113, 87, 119, 75, 107, 85, 117, 95, 127, 91, 123, 78, 110, 89, 121, 77, 109, 69, 101)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64 ), ( 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 5 e = 64 f = 5
	degree seq :: [ 16^4, 64 ]

E28.342 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 32, 32})
Quotient :: dipole
Aut^+ = C32 (small group id <32, 1>)
Aut   = D64 (small group id <64, 52>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y3)^2, (Y1^-1, Y2), (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^-3 * Y2^4, Y1^8, Y1^8, (Y3^-1 * Y1^-1)^8, (Y3 * Y2^-1)^32 ]
Map::
	R = (1, 33, 2, 34, 6, 38, 14, 46, 26, 58, 22, 54, 11, 43, 4, 36)(3, 35, 7, 39, 15, 47, 27, 59, 32, 64, 25, 57, 21, 53, 10, 42)(5, 37, 8, 40, 16, 48, 19, 51, 29, 61, 30, 62, 23, 55, 12, 44)(9, 41, 17, 49, 28, 60, 31, 63, 24, 56, 13, 45, 18, 50, 20, 52)(65, 97, 67, 99, 73, 105, 83, 115, 78, 110, 91, 123, 95, 127, 87, 119, 75, 107, 85, 117, 82, 114, 72, 104, 66, 98, 71, 103, 81, 113, 93, 125, 90, 122, 96, 128, 88, 120, 76, 108, 68, 100, 74, 106, 84, 116, 80, 112, 70, 102, 79, 111, 92, 124, 94, 126, 86, 118, 89, 121, 77, 109, 69, 101)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64 ), ( 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 5 e = 64 f = 5
	degree seq :: [ 16^4, 64 ]

E28.343 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 32, 32})
Quotient :: dipole
Aut^+ = C32 (small group id <32, 1>)
Aut   = D64 (small group id <64, 52>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2^-1, Y1^-1), Y1^-1 * Y3 * Y1 * Y3, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2 * Y1 * Y2^3, Y3 * Y1^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 14, 46, 4, 36, 9, 41, 16, 48, 5, 37)(3, 35, 8, 40, 19, 51, 26, 58, 12, 44, 21, 53, 27, 59, 13, 45)(6, 38, 10, 42, 20, 52, 28, 60, 15, 47, 22, 54, 30, 62, 17, 49)(11, 43, 18, 50, 23, 55, 31, 63, 24, 56, 29, 61, 32, 64, 25, 57)(65, 97, 67, 99, 75, 107, 81, 113, 69, 101, 77, 109, 89, 121, 94, 126, 80, 112, 91, 123, 96, 128, 86, 118, 73, 105, 85, 117, 93, 125, 79, 111, 68, 100, 76, 108, 88, 120, 92, 124, 78, 110, 90, 122, 95, 127, 84, 116, 71, 103, 83, 115, 87, 119, 74, 106, 66, 98, 72, 104, 82, 114, 70, 102)
	L = (1, 68)(2, 73)(3, 76)(4, 65)(5, 78)(6, 79)(7, 80)(8, 85)(9, 66)(10, 86)(11, 88)(12, 67)(13, 90)(14, 69)(15, 70)(16, 71)(17, 92)(18, 93)(19, 91)(20, 94)(21, 72)(22, 74)(23, 96)(24, 75)(25, 95)(26, 77)(27, 83)(28, 81)(29, 82)(30, 84)(31, 89)(32, 87)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64 ), ( 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64 ) }
Outer automorphisms :: reflexible
Dual of E28.346
Graph:: bipartite
	v = 5 e = 64 f = 5
	degree seq :: [ 16^4, 64 ]

E28.344 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 32, 32})
Quotient :: dipole
Aut^+ = C32 (small group id <32, 1>)
Aut   = D64 (small group id <64, 52>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2^-1, Y1^-1), (R * Y3)^2, Y1^-1 * Y3 * Y1 * Y3, (R * Y1)^2, (R * Y2)^2, Y3 * Y2 * Y3 * Y2^-1, Y3 * Y1^4, Y2^4 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 14, 46, 4, 36, 9, 41, 16, 48, 5, 37)(3, 35, 8, 40, 19, 51, 25, 57, 12, 44, 22, 54, 26, 58, 13, 45)(6, 38, 10, 42, 20, 52, 27, 59, 15, 47, 23, 55, 29, 61, 17, 49)(11, 43, 21, 53, 31, 63, 28, 60, 24, 56, 32, 64, 30, 62, 18, 50)(65, 97, 67, 99, 75, 107, 74, 106, 66, 98, 72, 104, 85, 117, 84, 116, 71, 103, 83, 115, 95, 127, 91, 123, 78, 110, 89, 121, 92, 124, 79, 111, 68, 100, 76, 108, 88, 120, 87, 119, 73, 105, 86, 118, 96, 128, 93, 125, 80, 112, 90, 122, 94, 126, 81, 113, 69, 101, 77, 109, 82, 114, 70, 102)
	L = (1, 68)(2, 73)(3, 76)(4, 65)(5, 78)(6, 79)(7, 80)(8, 86)(9, 66)(10, 87)(11, 88)(12, 67)(13, 89)(14, 69)(15, 70)(16, 71)(17, 91)(18, 92)(19, 90)(20, 93)(21, 96)(22, 72)(23, 74)(24, 75)(25, 77)(26, 83)(27, 81)(28, 82)(29, 84)(30, 95)(31, 94)(32, 85)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64 ), ( 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64 ) }
Outer automorphisms :: reflexible
Dual of E28.345
Graph:: bipartite
	v = 5 e = 64 f = 5
	degree seq :: [ 16^4, 64 ]

E28.345 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 32, 32})
Quotient :: dipole
Aut^+ = C32 (small group id <32, 1>)
Aut   = D64 (small group id <64, 52>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (R * Y2)^2, (Y2^-1, Y1^-1), Y3 * Y1 * Y3 * Y1^-1, (R * Y3)^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, Y3 * Y1^4, Y2^-2 * Y3 * Y1 * Y2^-2, Y2 * Y1 * Y2^3 * Y1^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 14, 46, 4, 36, 9, 41, 16, 48, 5, 37)(3, 35, 8, 40, 19, 51, 26, 58, 12, 44, 22, 54, 27, 59, 13, 45)(6, 38, 10, 42, 20, 52, 28, 60, 15, 47, 23, 55, 29, 61, 17, 49)(11, 43, 21, 53, 30, 62, 18, 50, 24, 56, 31, 63, 32, 64, 25, 57)(65, 97, 67, 99, 75, 107, 87, 119, 73, 105, 86, 118, 95, 127, 84, 116, 71, 103, 83, 115, 94, 126, 81, 113, 69, 101, 77, 109, 89, 121, 79, 111, 68, 100, 76, 108, 88, 120, 74, 106, 66, 98, 72, 104, 85, 117, 93, 125, 80, 112, 91, 123, 96, 128, 92, 124, 78, 110, 90, 122, 82, 114, 70, 102)
	L = (1, 68)(2, 73)(3, 76)(4, 65)(5, 78)(6, 79)(7, 80)(8, 86)(9, 66)(10, 87)(11, 88)(12, 67)(13, 90)(14, 69)(15, 70)(16, 71)(17, 92)(18, 89)(19, 91)(20, 93)(21, 95)(22, 72)(23, 74)(24, 75)(25, 82)(26, 77)(27, 83)(28, 81)(29, 84)(30, 96)(31, 85)(32, 94)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64 ), ( 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64 ) }
Outer automorphisms :: reflexible
Dual of E28.344
Graph:: bipartite
	v = 5 e = 64 f = 5
	degree seq :: [ 16^4, 64 ]

E28.346 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 32, 32})
Quotient :: dipole
Aut^+ = C32 (small group id <32, 1>)
Aut   = D64 (small group id <64, 52>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y3)^2, (Y2, Y1), (R * Y1)^2, Y1^-1 * Y3 * Y1 * Y3, (R * Y2)^2, Y3 * Y1^4, Y2^-1 * Y3 * Y1^-1 * Y2^-3 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 14, 46, 4, 36, 9, 41, 16, 48, 5, 37)(3, 35, 8, 40, 19, 51, 28, 60, 12, 44, 22, 54, 29, 61, 13, 45)(6, 38, 10, 42, 20, 52, 25, 57, 15, 47, 23, 55, 30, 62, 17, 49)(11, 43, 21, 53, 31, 63, 32, 64, 26, 58, 18, 50, 24, 56, 27, 59)(65, 97, 67, 99, 75, 107, 89, 121, 78, 110, 92, 124, 96, 128, 94, 126, 80, 112, 93, 125, 88, 120, 74, 106, 66, 98, 72, 104, 85, 117, 79, 111, 68, 100, 76, 108, 90, 122, 81, 113, 69, 101, 77, 109, 91, 123, 84, 116, 71, 103, 83, 115, 95, 127, 87, 119, 73, 105, 86, 118, 82, 114, 70, 102)
	L = (1, 68)(2, 73)(3, 76)(4, 65)(5, 78)(6, 79)(7, 80)(8, 86)(9, 66)(10, 87)(11, 90)(12, 67)(13, 92)(14, 69)(15, 70)(16, 71)(17, 89)(18, 85)(19, 93)(20, 94)(21, 82)(22, 72)(23, 74)(24, 95)(25, 81)(26, 75)(27, 96)(28, 77)(29, 83)(30, 84)(31, 88)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64 ), ( 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64 ) }
Outer automorphisms :: reflexible
Dual of E28.343
Graph:: bipartite
	v = 5 e = 64 f = 5
	degree seq :: [ 16^4, 64 ]

E28.347 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 32, 32})
Quotient :: dipole
Aut^+ = C32 (small group id <32, 1>)
Aut   = D64 (small group id <64, 52>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3 * Y1^-1, Y3 * Y1^-2, (Y2^-1, Y1^-1), (R * Y2)^2, (Y2, Y3), (Y2, Y1^-1), Y3^4, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1^-1 * Y2^-3, Y2^2 * Y3^2 * Y2^2 * Y3^-1 * Y1^-1, (Y3^-1 * Y1^-1)^8, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 4, 36, 9, 41, 15, 47, 18, 50, 7, 39, 5, 37)(3, 35, 8, 40, 12, 44, 21, 53, 26, 58, 27, 59, 14, 46, 13, 45)(6, 38, 10, 42, 16, 48, 22, 54, 28, 60, 30, 62, 20, 52, 17, 49)(11, 43, 19, 51, 23, 55, 29, 61, 31, 63, 32, 64, 25, 57, 24, 56)(65, 97, 67, 99, 75, 107, 81, 113, 69, 101, 77, 109, 88, 120, 84, 116, 71, 103, 78, 110, 89, 121, 94, 126, 82, 114, 91, 123, 96, 128, 92, 124, 79, 111, 90, 122, 95, 127, 86, 118, 73, 105, 85, 117, 93, 125, 80, 112, 68, 100, 76, 108, 87, 119, 74, 106, 66, 98, 72, 104, 83, 115, 70, 102)
	L = (1, 68)(2, 73)(3, 76)(4, 79)(5, 66)(6, 80)(7, 65)(8, 85)(9, 82)(10, 86)(11, 87)(12, 90)(13, 72)(14, 67)(15, 71)(16, 92)(17, 74)(18, 69)(19, 93)(20, 70)(21, 91)(22, 94)(23, 95)(24, 83)(25, 75)(26, 78)(27, 77)(28, 84)(29, 96)(30, 81)(31, 89)(32, 88)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64 ), ( 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64 ) }
Outer automorphisms :: reflexible
Dual of E28.353
Graph:: bipartite
	v = 5 e = 64 f = 5
	degree seq :: [ 16^4, 64 ]

E28.348 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 32, 32})
Quotient :: dipole
Aut^+ = C32 (small group id <32, 1>)
Aut   = D64 (small group id <64, 52>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-2, (Y2, Y1^-1), Y3^4, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y2, Y3^-1), Y1 * Y2^-4, Y3^-1 * Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 10, 42, 15, 47, 16, 48, 4, 36, 5, 37)(3, 35, 8, 40, 14, 46, 22, 54, 26, 58, 27, 59, 12, 44, 13, 45)(6, 38, 9, 41, 20, 52, 23, 55, 28, 60, 29, 61, 17, 49, 18, 50)(11, 43, 21, 53, 25, 57, 31, 63, 32, 64, 30, 62, 24, 56, 19, 51)(65, 97, 67, 99, 75, 107, 73, 105, 66, 98, 72, 104, 85, 117, 84, 116, 71, 103, 78, 110, 89, 121, 87, 119, 74, 106, 86, 118, 95, 127, 92, 124, 79, 111, 90, 122, 96, 128, 93, 125, 80, 112, 91, 123, 94, 126, 81, 113, 68, 100, 76, 108, 88, 120, 82, 114, 69, 101, 77, 109, 83, 115, 70, 102)
	L = (1, 68)(2, 69)(3, 76)(4, 79)(5, 80)(6, 81)(7, 65)(8, 77)(9, 82)(10, 66)(11, 88)(12, 90)(13, 91)(14, 67)(15, 71)(16, 74)(17, 92)(18, 93)(19, 94)(20, 70)(21, 83)(22, 72)(23, 73)(24, 96)(25, 75)(26, 78)(27, 86)(28, 84)(29, 87)(30, 95)(31, 85)(32, 89)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64 ), ( 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64 ) }
Outer automorphisms :: reflexible
Dual of E28.351
Graph:: bipartite
	v = 5 e = 64 f = 5
	degree seq :: [ 16^4, 64 ]

E28.349 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 32, 32})
Quotient :: dipole
Aut^+ = C32 (small group id <32, 1>)
Aut   = D64 (small group id <64, 52>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3 * Y1, Y3^4, (Y1^-1, Y2), (Y2, Y3^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3 * Y2^-1 * Y1^-1 * Y2^-3, Y2^-2 * Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 10, 42, 15, 47, 16, 48, 4, 36, 5, 37)(3, 35, 8, 40, 14, 46, 22, 54, 29, 61, 30, 62, 12, 44, 13, 45)(6, 38, 9, 41, 20, 52, 24, 56, 31, 63, 25, 57, 17, 49, 18, 50)(11, 43, 21, 53, 28, 60, 19, 51, 23, 55, 32, 64, 26, 58, 27, 59)(65, 97, 67, 99, 75, 107, 89, 121, 80, 112, 94, 126, 96, 128, 84, 116, 71, 103, 78, 110, 92, 124, 82, 114, 69, 101, 77, 109, 91, 123, 95, 127, 79, 111, 93, 125, 87, 119, 73, 105, 66, 98, 72, 104, 85, 117, 81, 113, 68, 100, 76, 108, 90, 122, 88, 120, 74, 106, 86, 118, 83, 115, 70, 102)
	L = (1, 68)(2, 69)(3, 76)(4, 79)(5, 80)(6, 81)(7, 65)(8, 77)(9, 82)(10, 66)(11, 90)(12, 93)(13, 94)(14, 67)(15, 71)(16, 74)(17, 95)(18, 89)(19, 85)(20, 70)(21, 91)(22, 72)(23, 92)(24, 73)(25, 88)(26, 87)(27, 96)(28, 75)(29, 78)(30, 86)(31, 84)(32, 83)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64 ), ( 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64 ) }
Outer automorphisms :: reflexible
Dual of E28.354
Graph:: bipartite
	v = 5 e = 64 f = 5
	degree seq :: [ 16^4, 64 ]

E28.350 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 32, 32})
Quotient :: dipole
Aut^+ = C32 (small group id <32, 1>)
Aut   = D64 (small group id <64, 52>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y3, (Y2^-1, Y1), Y3^4, (R * Y2)^2, (R * Y1)^2, (Y2, Y3), (R * Y3)^2, Y1 * Y3^2 * Y1 * Y3, Y2^3 * Y3^-1 * Y2 * Y1^-1, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 4, 36, 9, 41, 15, 47, 18, 50, 7, 39, 5, 37)(3, 35, 8, 40, 12, 44, 22, 54, 27, 59, 28, 60, 14, 46, 13, 45)(6, 38, 10, 42, 16, 48, 23, 55, 29, 61, 31, 63, 20, 52, 17, 49)(11, 43, 21, 53, 25, 57, 32, 64, 30, 62, 19, 51, 24, 56, 26, 58)(65, 97, 67, 99, 75, 107, 87, 119, 73, 105, 86, 118, 96, 128, 84, 116, 71, 103, 78, 110, 88, 120, 74, 106, 66, 98, 72, 104, 85, 117, 93, 125, 79, 111, 91, 123, 94, 126, 81, 113, 69, 101, 77, 109, 90, 122, 80, 112, 68, 100, 76, 108, 89, 121, 95, 127, 82, 114, 92, 124, 83, 115, 70, 102)
	L = (1, 68)(2, 73)(3, 76)(4, 79)(5, 66)(6, 80)(7, 65)(8, 86)(9, 82)(10, 87)(11, 89)(12, 91)(13, 72)(14, 67)(15, 71)(16, 93)(17, 74)(18, 69)(19, 90)(20, 70)(21, 96)(22, 92)(23, 95)(24, 75)(25, 94)(26, 85)(27, 78)(28, 77)(29, 84)(30, 88)(31, 81)(32, 83)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64 ), ( 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64 ) }
Outer automorphisms :: reflexible
Dual of E28.352
Graph:: bipartite
	v = 5 e = 64 f = 5
	degree seq :: [ 16^4, 64 ]

E28.351 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 32, 32})
Quotient :: dipole
Aut^+ = C32 (small group id <32, 1>)
Aut   = D64 (small group id <64, 52>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^2, Y3^-4, Y3^4, (Y2^-1, Y1^-1), (Y2, Y3^-1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2^4 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 10, 42, 15, 47, 16, 48, 4, 36, 5, 37)(3, 35, 8, 40, 14, 46, 21, 53, 26, 58, 27, 59, 12, 44, 13, 45)(6, 38, 9, 41, 20, 52, 23, 55, 28, 60, 29, 61, 17, 49, 18, 50)(11, 43, 19, 51, 22, 54, 30, 62, 31, 63, 32, 64, 24, 56, 25, 57)(65, 97, 67, 99, 75, 107, 82, 114, 69, 101, 77, 109, 89, 121, 81, 113, 68, 100, 76, 108, 88, 120, 93, 125, 80, 112, 91, 123, 96, 128, 92, 124, 79, 111, 90, 122, 95, 127, 87, 119, 74, 106, 85, 117, 94, 126, 84, 116, 71, 103, 78, 110, 86, 118, 73, 105, 66, 98, 72, 104, 83, 115, 70, 102)
	L = (1, 68)(2, 69)(3, 76)(4, 79)(5, 80)(6, 81)(7, 65)(8, 77)(9, 82)(10, 66)(11, 88)(12, 90)(13, 91)(14, 67)(15, 71)(16, 74)(17, 92)(18, 93)(19, 89)(20, 70)(21, 72)(22, 75)(23, 73)(24, 95)(25, 96)(26, 78)(27, 85)(28, 84)(29, 87)(30, 83)(31, 86)(32, 94)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64 ), ( 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64 ) }
Outer automorphisms :: reflexible
Dual of E28.348
Graph:: bipartite
	v = 5 e = 64 f = 5
	degree seq :: [ 16^4, 64 ]

E28.352 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 32, 32})
Quotient :: dipole
Aut^+ = C32 (small group id <32, 1>)
Aut   = D64 (small group id <64, 52>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y3, Y3^-4, Y3^4, (Y2, Y3), (Y1^-1, Y2^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y2^-4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 4, 36, 9, 41, 15, 47, 18, 50, 7, 39, 5, 37)(3, 35, 8, 40, 12, 44, 22, 54, 26, 58, 27, 59, 14, 46, 13, 45)(6, 38, 10, 42, 16, 48, 23, 55, 28, 60, 29, 61, 20, 52, 17, 49)(11, 43, 21, 53, 24, 56, 31, 63, 32, 64, 30, 62, 25, 57, 19, 51)(65, 97, 67, 99, 75, 107, 74, 106, 66, 98, 72, 104, 85, 117, 80, 112, 68, 100, 76, 108, 88, 120, 87, 119, 73, 105, 86, 118, 95, 127, 92, 124, 79, 111, 90, 122, 96, 128, 93, 125, 82, 114, 91, 123, 94, 126, 84, 116, 71, 103, 78, 110, 89, 121, 81, 113, 69, 101, 77, 109, 83, 115, 70, 102)
	L = (1, 68)(2, 73)(3, 76)(4, 79)(5, 66)(6, 80)(7, 65)(8, 86)(9, 82)(10, 87)(11, 88)(12, 90)(13, 72)(14, 67)(15, 71)(16, 92)(17, 74)(18, 69)(19, 85)(20, 70)(21, 95)(22, 91)(23, 93)(24, 96)(25, 75)(26, 78)(27, 77)(28, 84)(29, 81)(30, 83)(31, 94)(32, 89)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64 ), ( 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64 ) }
Outer automorphisms :: reflexible
Dual of E28.350
Graph:: bipartite
	v = 5 e = 64 f = 5
	degree seq :: [ 16^4, 64 ]

E28.353 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 32, 32})
Quotient :: dipole
Aut^+ = C32 (small group id <32, 1>)
Aut   = D64 (small group id <64, 52>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y3, (Y2, Y3), (Y1, Y2), (R * Y3)^2, (R * Y1)^2, Y3^4, (R * Y2)^2, Y2^-2 * Y1^-1 * Y3^-1 * Y2^-2, Y1 * Y2^-2 * Y3 * Y2^-2 * Y3, (Y3 * Y1)^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 4, 36, 9, 41, 15, 47, 18, 50, 7, 39, 5, 37)(3, 35, 8, 40, 12, 44, 22, 54, 29, 61, 30, 62, 14, 46, 13, 45)(6, 38, 10, 42, 16, 48, 23, 55, 31, 63, 25, 57, 20, 52, 17, 49)(11, 43, 21, 53, 26, 58, 19, 51, 24, 56, 32, 64, 28, 60, 27, 59)(65, 97, 67, 99, 75, 107, 89, 121, 82, 114, 94, 126, 96, 128, 80, 112, 68, 100, 76, 108, 90, 122, 81, 113, 69, 101, 77, 109, 91, 123, 95, 127, 79, 111, 93, 125, 88, 120, 74, 106, 66, 98, 72, 104, 85, 117, 84, 116, 71, 103, 78, 110, 92, 124, 87, 119, 73, 105, 86, 118, 83, 115, 70, 102)
	L = (1, 68)(2, 73)(3, 76)(4, 79)(5, 66)(6, 80)(7, 65)(8, 86)(9, 82)(10, 87)(11, 90)(12, 93)(13, 72)(14, 67)(15, 71)(16, 95)(17, 74)(18, 69)(19, 96)(20, 70)(21, 83)(22, 94)(23, 89)(24, 92)(25, 81)(26, 88)(27, 85)(28, 75)(29, 78)(30, 77)(31, 84)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64 ), ( 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64 ) }
Outer automorphisms :: reflexible
Dual of E28.347
Graph:: bipartite
	v = 5 e = 64 f = 5
	degree seq :: [ 16^4, 64 ]

E28.354 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 32, 32})
Quotient :: dipole
Aut^+ = C32 (small group id <32, 1>)
Aut   = D64 (small group id <64, 52>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3 * Y1, (Y3, Y2), (R * Y2)^2, Y3^4, (R * Y1)^2, (Y1^-1, Y2^-1), (R * Y3)^2, Y2^2 * Y1^-1 * Y2^2 * Y3, Y2^2 * Y1 * Y3^-1 * Y2^2 * Y3^-1, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^2 * Y3^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 10, 42, 15, 47, 16, 48, 4, 36, 5, 37)(3, 35, 8, 40, 14, 46, 22, 54, 27, 59, 28, 60, 12, 44, 13, 45)(6, 38, 9, 41, 20, 52, 24, 56, 29, 61, 30, 62, 17, 49, 18, 50)(11, 43, 21, 53, 26, 58, 31, 63, 32, 64, 19, 51, 23, 55, 25, 57)(65, 97, 67, 99, 75, 107, 88, 120, 74, 106, 86, 118, 95, 127, 81, 113, 68, 100, 76, 108, 87, 119, 73, 105, 66, 98, 72, 104, 85, 117, 93, 125, 79, 111, 91, 123, 96, 128, 82, 114, 69, 101, 77, 109, 89, 121, 84, 116, 71, 103, 78, 110, 90, 122, 94, 126, 80, 112, 92, 124, 83, 115, 70, 102)
	L = (1, 68)(2, 69)(3, 76)(4, 79)(5, 80)(6, 81)(7, 65)(8, 77)(9, 82)(10, 66)(11, 87)(12, 91)(13, 92)(14, 67)(15, 71)(16, 74)(17, 93)(18, 94)(19, 95)(20, 70)(21, 89)(22, 72)(23, 96)(24, 73)(25, 83)(26, 75)(27, 78)(28, 86)(29, 84)(30, 88)(31, 85)(32, 90)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64 ), ( 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64 ) }
Outer automorphisms :: reflexible
Dual of E28.349
Graph:: bipartite
	v = 5 e = 64 f = 5
	degree seq :: [ 16^4, 64 ]

E28.355 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 32, 32})
Quotient :: dipole
Aut^+ = C32 (small group id <32, 1>)
Aut   = D64 (small group id <64, 52>)
|r| :: 2
Presentation :: [ R^2, Y2^3 * Y3, Y3 * Y1^-1 * Y3^2, (Y1, Y2), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y2), (Y1, Y3), Y3^-1 * Y2^-1 * Y1^-3 * Y3^-1, Y1 * Y3^-1 * Y1^2 * Y2 * Y1, Y2^-2 * Y3 * Y2^-1 * Y3 * Y1^-1, Y2 * Y1^-2 * Y2 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 22, 54, 18, 50, 30, 62, 15, 47, 3, 35, 9, 41, 23, 55, 17, 49, 4, 36, 10, 42, 24, 56, 13, 45, 27, 59, 32, 64, 31, 63, 14, 46, 28, 60, 21, 53, 7, 39, 12, 44, 26, 58, 20, 52, 6, 38, 11, 43, 25, 57, 16, 48, 29, 61, 19, 51, 5, 37)(65, 97, 67, 99, 77, 109, 71, 103, 80, 112, 86, 118, 81, 113, 95, 127, 84, 116, 69, 101, 79, 111, 88, 120, 85, 117, 89, 121, 72, 104, 87, 119, 96, 128, 90, 122, 83, 115, 94, 126, 74, 106, 92, 124, 75, 107, 66, 98, 73, 105, 91, 123, 76, 108, 93, 125, 82, 114, 68, 100, 78, 110, 70, 102)
	L = (1, 68)(2, 74)(3, 78)(4, 76)(5, 81)(6, 82)(7, 65)(8, 88)(9, 92)(10, 90)(11, 94)(12, 66)(13, 70)(14, 93)(15, 95)(16, 67)(17, 71)(18, 91)(19, 87)(20, 86)(21, 69)(22, 77)(23, 85)(24, 84)(25, 79)(26, 72)(27, 75)(28, 83)(29, 73)(30, 96)(31, 80)(32, 89)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^64 ) }
Outer automorphisms :: reflexible
Dual of E28.338
Graph:: bipartite
	v = 2 e = 64 f = 8
	degree seq :: [ 64^2 ]

E28.356 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 32, 32})
Quotient :: dipole
Aut^+ = C32 (small group id <32, 1>)
Aut   = D64 (small group id <64, 52>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1^-2, Y2^-3 * Y3^-1, (Y2^-1, Y1^-1), Y2^2 * Y1^2, Y2 * Y1^-1 * Y3 * Y1^-1, (Y2^-1 * Y1^-1)^2, (R * Y2)^2, (R * Y1)^2, Y3 * Y2 * Y1^-2, (R * Y3)^2, Y3^2 * Y2 * Y3^-2 * Y2^-1, Y3^-2 * Y1^-1 * Y3^-3, Y1 * Y3^2 * Y2^-1 * Y1 * Y3^2 * Y1, (Y3 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 19, 51, 16, 48, 23, 55, 15, 47, 22, 54, 30, 62, 26, 58, 31, 63, 25, 57, 17, 49, 7, 39, 12, 44, 3, 35, 9, 41, 6, 38, 11, 43, 4, 36, 10, 42, 20, 52, 29, 61, 28, 60, 32, 64, 27, 59, 18, 50, 24, 56, 14, 46, 21, 53, 13, 45, 5, 37)(65, 97, 67, 99, 77, 109, 71, 103, 78, 110, 89, 121, 82, 114, 90, 122, 96, 128, 86, 118, 93, 125, 87, 119, 74, 106, 83, 115, 75, 107, 66, 98, 73, 105, 69, 101, 76, 108, 85, 117, 81, 113, 88, 120, 95, 127, 91, 123, 94, 126, 92, 124, 79, 111, 84, 116, 80, 112, 68, 100, 72, 104, 70, 102)
	L = (1, 68)(2, 74)(3, 72)(4, 79)(5, 75)(6, 80)(7, 65)(8, 84)(9, 83)(10, 86)(11, 87)(12, 66)(13, 70)(14, 67)(15, 91)(16, 92)(17, 69)(18, 71)(19, 93)(20, 94)(21, 73)(22, 82)(23, 96)(24, 76)(25, 77)(26, 78)(27, 81)(28, 95)(29, 90)(30, 88)(31, 85)(32, 89)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^64 ) }
Outer automorphisms :: reflexible
Dual of E28.337
Graph:: bipartite
	v = 2 e = 64 f = 8
	degree seq :: [ 64^2 ]

E28.357 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 35, 35})
Quotient :: dipole
Aut^+ = C35 (small group id <35, 1>)
Aut   = D70 (small group id <70, 3>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2 * Y1, Y1 * Y2^-2, (Y3, Y1^-1), (Y3, Y2^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3^7, Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 36, 2, 37, 6, 41, 3, 38, 5, 40)(4, 39, 8, 43, 14, 49, 10, 45, 13, 48)(7, 42, 9, 44, 16, 51, 11, 46, 15, 50)(12, 47, 18, 53, 24, 59, 20, 55, 23, 58)(17, 52, 19, 54, 26, 61, 21, 56, 25, 60)(22, 57, 28, 63, 33, 68, 30, 65, 32, 67)(27, 62, 29, 64, 35, 70, 31, 66, 34, 69)(71, 106, 73, 108, 72, 107, 75, 110, 76, 111)(74, 109, 80, 115, 78, 113, 83, 118, 84, 119)(77, 112, 81, 116, 79, 114, 85, 120, 86, 121)(82, 117, 90, 125, 88, 123, 93, 128, 94, 129)(87, 122, 91, 126, 89, 124, 95, 130, 96, 131)(92, 127, 100, 135, 98, 133, 102, 137, 103, 138)(97, 132, 101, 136, 99, 134, 104, 139, 105, 140)
	L = (1, 74)(2, 78)(3, 80)(4, 82)(5, 83)(6, 84)(7, 71)(8, 88)(9, 72)(10, 90)(11, 73)(12, 92)(13, 93)(14, 94)(15, 75)(16, 76)(17, 77)(18, 98)(19, 79)(20, 100)(21, 81)(22, 97)(23, 102)(24, 103)(25, 85)(26, 86)(27, 87)(28, 99)(29, 89)(30, 101)(31, 91)(32, 104)(33, 105)(34, 95)(35, 96)(36, 106)(37, 107)(38, 108)(39, 109)(40, 110)(41, 111)(42, 112)(43, 113)(44, 114)(45, 115)(46, 116)(47, 117)(48, 118)(49, 119)(50, 120)(51, 121)(52, 122)(53, 123)(54, 124)(55, 125)(56, 126)(57, 127)(58, 128)(59, 129)(60, 130)(61, 131)(62, 132)(63, 133)(64, 134)(65, 135)(66, 136)(67, 137)(68, 138)(69, 139)(70, 140)
	local type(s) :: { ( 70^10 ) }
Outer automorphisms :: reflexible
Dual of E28.371
Graph:: bipartite
	v = 14 e = 70 f = 2
	degree seq :: [ 10^14 ]

E28.358 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 35, 35})
Quotient :: dipole
Aut^+ = C35 (small group id <35, 1>)
Aut   = D70 (small group id <70, 3>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y1)^2, (Y2^-1, Y1^-1), (R * Y3)^2, Y1^5, Y1^5, (R * Y2 * Y3^-1)^2, Y2^-7 * Y1^2, (Y3^-1 * Y1^-1)^5, (Y3 * Y2^-1)^35 ]
Map::
	R = (1, 36, 2, 37, 6, 41, 11, 46, 4, 39)(3, 38, 7, 42, 14, 49, 20, 55, 10, 45)(5, 40, 8, 43, 15, 50, 21, 56, 12, 47)(9, 44, 16, 51, 24, 59, 30, 65, 19, 54)(13, 48, 17, 52, 25, 60, 31, 66, 22, 57)(18, 53, 26, 61, 34, 69, 33, 68, 29, 64)(23, 58, 27, 62, 28, 63, 35, 70, 32, 67)(71, 106, 73, 108, 79, 114, 88, 123, 98, 133, 95, 130, 85, 120, 76, 111, 84, 119, 94, 129, 104, 139, 102, 137, 92, 127, 82, 117, 74, 109, 80, 115, 89, 124, 99, 134, 97, 132, 87, 122, 78, 113, 72, 107, 77, 112, 86, 121, 96, 131, 105, 140, 101, 136, 91, 126, 81, 116, 90, 125, 100, 135, 103, 138, 93, 128, 83, 118, 75, 110)
	L = (1, 71)(2, 72)(3, 73)(4, 74)(5, 75)(6, 76)(7, 77)(8, 78)(9, 79)(10, 80)(11, 81)(12, 82)(13, 83)(14, 84)(15, 85)(16, 86)(17, 87)(18, 88)(19, 89)(20, 90)(21, 91)(22, 92)(23, 93)(24, 94)(25, 95)(26, 96)(27, 97)(28, 98)(29, 99)(30, 100)(31, 101)(32, 102)(33, 103)(34, 104)(35, 105)(36, 106)(37, 107)(38, 108)(39, 109)(40, 110)(41, 111)(42, 112)(43, 113)(44, 114)(45, 115)(46, 116)(47, 117)(48, 118)(49, 119)(50, 120)(51, 121)(52, 122)(53, 123)(54, 124)(55, 125)(56, 126)(57, 127)(58, 128)(59, 129)(60, 130)(61, 131)(62, 132)(63, 133)(64, 134)(65, 135)(66, 136)(67, 137)(68, 138)(69, 139)(70, 140)
	local type(s) :: { ( 10, 70, 10, 70, 10, 70, 10, 70, 10, 70 ), ( 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 8 e = 70 f = 8
	degree seq :: [ 10^7, 70 ]

E28.359 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 35, 35})
Quotient :: dipole
Aut^+ = C35 (small group id <35, 1>)
Aut   = D70 (small group id <70, 3>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), Y1^5, Y1^5, (R * Y2 * Y3^-1)^2, Y2^7 * Y1^2, Y2^2 * Y1^-1 * Y2 * Y1^-1 * Y2^4 * Y1^-1, (Y3^-1 * Y1^-1)^5, (Y3 * Y2^-1)^35 ]
Map::
	R = (1, 36, 2, 37, 6, 41, 11, 46, 4, 39)(3, 38, 7, 42, 14, 49, 20, 55, 10, 45)(5, 40, 8, 43, 15, 50, 21, 56, 12, 47)(9, 44, 16, 51, 24, 59, 30, 65, 19, 54)(13, 48, 17, 52, 25, 60, 31, 66, 22, 57)(18, 53, 26, 61, 33, 68, 35, 70, 29, 64)(23, 58, 27, 62, 34, 69, 28, 63, 32, 67)(71, 106, 73, 108, 79, 114, 88, 123, 98, 133, 101, 136, 91, 126, 81, 116, 90, 125, 100, 135, 105, 140, 97, 132, 87, 122, 78, 113, 72, 107, 77, 112, 86, 121, 96, 131, 102, 137, 92, 127, 82, 117, 74, 109, 80, 115, 89, 124, 99, 134, 104, 139, 95, 130, 85, 120, 76, 111, 84, 119, 94, 129, 103, 138, 93, 128, 83, 118, 75, 110)
	L = (1, 71)(2, 72)(3, 73)(4, 74)(5, 75)(6, 76)(7, 77)(8, 78)(9, 79)(10, 80)(11, 81)(12, 82)(13, 83)(14, 84)(15, 85)(16, 86)(17, 87)(18, 88)(19, 89)(20, 90)(21, 91)(22, 92)(23, 93)(24, 94)(25, 95)(26, 96)(27, 97)(28, 98)(29, 99)(30, 100)(31, 101)(32, 102)(33, 103)(34, 104)(35, 105)(36, 106)(37, 107)(38, 108)(39, 109)(40, 110)(41, 111)(42, 112)(43, 113)(44, 114)(45, 115)(46, 116)(47, 117)(48, 118)(49, 119)(50, 120)(51, 121)(52, 122)(53, 123)(54, 124)(55, 125)(56, 126)(57, 127)(58, 128)(59, 129)(60, 130)(61, 131)(62, 132)(63, 133)(64, 134)(65, 135)(66, 136)(67, 137)(68, 138)(69, 139)(70, 140)
	local type(s) :: { ( 10, 70, 10, 70, 10, 70, 10, 70, 10, 70 ), ( 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 8 e = 70 f = 8
	degree seq :: [ 10^7, 70 ]

E28.360 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 35, 35})
Quotient :: dipole
Aut^+ = C35 (small group id <35, 1>)
Aut   = D70 (small group id <70, 3>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), Y1^5, (R * Y2 * Y3^-1)^2, Y2^7 * Y1^-1, (Y3^-1 * Y1^-1)^5, (Y3 * Y2^-1)^35 ]
Map::
	R = (1, 36, 2, 37, 6, 41, 11, 46, 4, 39)(3, 38, 7, 42, 14, 49, 20, 55, 10, 45)(5, 40, 8, 43, 15, 50, 21, 56, 12, 47)(9, 44, 16, 51, 24, 59, 29, 64, 19, 54)(13, 48, 17, 52, 25, 60, 30, 65, 22, 57)(18, 53, 26, 61, 32, 67, 34, 69, 28, 63)(23, 58, 27, 62, 33, 68, 35, 70, 31, 66)(71, 106, 73, 108, 79, 114, 88, 123, 97, 132, 87, 122, 78, 113, 72, 107, 77, 112, 86, 121, 96, 131, 103, 138, 95, 130, 85, 120, 76, 111, 84, 119, 94, 129, 102, 137, 105, 140, 100, 135, 91, 126, 81, 116, 90, 125, 99, 134, 104, 139, 101, 136, 92, 127, 82, 117, 74, 109, 80, 115, 89, 124, 98, 133, 93, 128, 83, 118, 75, 110)
	L = (1, 71)(2, 72)(3, 73)(4, 74)(5, 75)(6, 76)(7, 77)(8, 78)(9, 79)(10, 80)(11, 81)(12, 82)(13, 83)(14, 84)(15, 85)(16, 86)(17, 87)(18, 88)(19, 89)(20, 90)(21, 91)(22, 92)(23, 93)(24, 94)(25, 95)(26, 96)(27, 97)(28, 98)(29, 99)(30, 100)(31, 101)(32, 102)(33, 103)(34, 104)(35, 105)(36, 106)(37, 107)(38, 108)(39, 109)(40, 110)(41, 111)(42, 112)(43, 113)(44, 114)(45, 115)(46, 116)(47, 117)(48, 118)(49, 119)(50, 120)(51, 121)(52, 122)(53, 123)(54, 124)(55, 125)(56, 126)(57, 127)(58, 128)(59, 129)(60, 130)(61, 131)(62, 132)(63, 133)(64, 134)(65, 135)(66, 136)(67, 137)(68, 138)(69, 139)(70, 140)
	local type(s) :: { ( 10, 70, 10, 70, 10, 70, 10, 70, 10, 70 ), ( 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 8 e = 70 f = 8
	degree seq :: [ 10^7, 70 ]

E28.361 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 35, 35})
Quotient :: dipole
Aut^+ = C35 (small group id <35, 1>)
Aut   = D70 (small group id <70, 3>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (Y2^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, Y1^5, (R * Y2 * Y3^-1)^2, Y2^-7 * Y1^-1, (Y3^-1 * Y1^-1)^5, (Y3 * Y2^-1)^35 ]
Map::
	R = (1, 36, 2, 37, 6, 41, 11, 46, 4, 39)(3, 38, 7, 42, 14, 49, 20, 55, 10, 45)(5, 40, 8, 43, 15, 50, 21, 56, 12, 47)(9, 44, 16, 51, 24, 59, 30, 65, 19, 54)(13, 48, 17, 52, 25, 60, 31, 66, 22, 57)(18, 53, 26, 61, 32, 67, 35, 70, 29, 64)(23, 58, 27, 62, 33, 68, 34, 69, 28, 63)(71, 106, 73, 108, 79, 114, 88, 123, 98, 133, 92, 127, 82, 117, 74, 109, 80, 115, 89, 124, 99, 134, 104, 139, 101, 136, 91, 126, 81, 116, 90, 125, 100, 135, 105, 140, 103, 138, 95, 130, 85, 120, 76, 111, 84, 119, 94, 129, 102, 137, 97, 132, 87, 122, 78, 113, 72, 107, 77, 112, 86, 121, 96, 131, 93, 128, 83, 118, 75, 110)
	L = (1, 71)(2, 72)(3, 73)(4, 74)(5, 75)(6, 76)(7, 77)(8, 78)(9, 79)(10, 80)(11, 81)(12, 82)(13, 83)(14, 84)(15, 85)(16, 86)(17, 87)(18, 88)(19, 89)(20, 90)(21, 91)(22, 92)(23, 93)(24, 94)(25, 95)(26, 96)(27, 97)(28, 98)(29, 99)(30, 100)(31, 101)(32, 102)(33, 103)(34, 104)(35, 105)(36, 106)(37, 107)(38, 108)(39, 109)(40, 110)(41, 111)(42, 112)(43, 113)(44, 114)(45, 115)(46, 116)(47, 117)(48, 118)(49, 119)(50, 120)(51, 121)(52, 122)(53, 123)(54, 124)(55, 125)(56, 126)(57, 127)(58, 128)(59, 129)(60, 130)(61, 131)(62, 132)(63, 133)(64, 134)(65, 135)(66, 136)(67, 137)(68, 138)(69, 139)(70, 140)
	local type(s) :: { ( 10, 70, 10, 70, 10, 70, 10, 70, 10, 70 ), ( 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 8 e = 70 f = 8
	degree seq :: [ 10^7, 70 ]

E28.362 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 35, 35})
Quotient :: dipole
Aut^+ = C35 (small group id <35, 1>)
Aut   = D70 (small group id <70, 3>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, (Y2^-1, Y1), (R * Y1)^2, (R * Y3)^2, Y1^2 * Y3 * Y1 * Y3, Y1^5, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * Y3^-1 * Y1^-1 * Y2^-2 * Y1^-2 * Y2, Y2^3 * Y1 * Y3 * Y2^4, (Y3^-1 * Y1^-1)^5, (Y3 * Y2^-1)^35 ]
Map:: non-degenerate
	R = (1, 36, 2, 37, 6, 41, 11, 46, 4, 39)(3, 38, 7, 42, 14, 49, 20, 55, 10, 45)(5, 40, 8, 43, 15, 50, 21, 56, 12, 47)(9, 44, 16, 51, 24, 59, 30, 65, 19, 54)(13, 48, 17, 52, 25, 60, 31, 66, 22, 57)(18, 53, 26, 61, 33, 68, 35, 70, 29, 64)(23, 58, 27, 62, 34, 69, 28, 63, 32, 67)(71, 106, 73, 108, 79, 114, 88, 123, 98, 133, 101, 136, 91, 126, 81, 116, 90, 125, 100, 135, 105, 140, 97, 132, 87, 122, 78, 113, 72, 107, 77, 112, 86, 121, 96, 131, 102, 137, 92, 127, 82, 117, 74, 109, 80, 115, 89, 124, 99, 134, 104, 139, 95, 130, 85, 120, 76, 111, 84, 119, 94, 129, 103, 138, 93, 128, 83, 118, 75, 110)
	L = (1, 72)(2, 76)(3, 77)(4, 71)(5, 78)(6, 81)(7, 84)(8, 85)(9, 86)(10, 73)(11, 74)(12, 75)(13, 87)(14, 90)(15, 91)(16, 94)(17, 95)(18, 96)(19, 79)(20, 80)(21, 82)(22, 83)(23, 97)(24, 100)(25, 101)(26, 103)(27, 104)(28, 102)(29, 88)(30, 89)(31, 92)(32, 93)(33, 105)(34, 98)(35, 99)(36, 106)(37, 107)(38, 108)(39, 109)(40, 110)(41, 111)(42, 112)(43, 113)(44, 114)(45, 115)(46, 116)(47, 117)(48, 118)(49, 119)(50, 120)(51, 121)(52, 122)(53, 123)(54, 124)(55, 125)(56, 126)(57, 127)(58, 128)(59, 129)(60, 130)(61, 131)(62, 132)(63, 133)(64, 134)(65, 135)(66, 136)(67, 137)(68, 138)(69, 139)(70, 140)
	local type(s) :: { ( 10, 70, 10, 70, 10, 70, 10, 70, 10, 70 ), ( 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70 ) }
Outer automorphisms :: reflexible
Dual of E28.369
Graph:: bipartite
	v = 8 e = 70 f = 8
	degree seq :: [ 10^7, 70 ]

E28.363 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 35, 35})
Quotient :: dipole
Aut^+ = C35 (small group id <35, 1>)
Aut   = D70 (small group id <70, 3>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1 * Y3, Y1 * Y3^-1 * Y1, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y2)^2, (Y1^-1, Y2^-1), (R * Y1)^2, Y2^5 * Y1^-1 * Y2^2, Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 36, 2, 37, 4, 39, 7, 42, 5, 40)(3, 38, 8, 43, 11, 46, 13, 48, 12, 47)(6, 41, 9, 44, 14, 49, 17, 52, 15, 50)(10, 45, 18, 53, 21, 56, 23, 58, 22, 57)(16, 51, 19, 54, 24, 59, 27, 62, 25, 60)(20, 55, 28, 63, 30, 65, 32, 67, 31, 66)(26, 61, 29, 64, 33, 68, 35, 70, 34, 69)(71, 106, 73, 108, 80, 115, 90, 125, 99, 134, 89, 124, 79, 114, 72, 107, 78, 113, 88, 123, 98, 133, 103, 138, 94, 129, 84, 119, 74, 109, 81, 116, 91, 126, 100, 135, 105, 140, 97, 132, 87, 122, 77, 112, 83, 118, 93, 128, 102, 137, 104, 139, 95, 130, 85, 120, 75, 110, 82, 117, 92, 127, 101, 136, 96, 131, 86, 121, 76, 111)
	L = (1, 74)(2, 77)(3, 81)(4, 75)(5, 72)(6, 84)(7, 71)(8, 83)(9, 87)(10, 91)(11, 82)(12, 78)(13, 73)(14, 85)(15, 79)(16, 94)(17, 76)(18, 93)(19, 97)(20, 100)(21, 92)(22, 88)(23, 80)(24, 95)(25, 89)(26, 103)(27, 86)(28, 102)(29, 105)(30, 101)(31, 98)(32, 90)(33, 104)(34, 99)(35, 96)(36, 106)(37, 107)(38, 108)(39, 109)(40, 110)(41, 111)(42, 112)(43, 113)(44, 114)(45, 115)(46, 116)(47, 117)(48, 118)(49, 119)(50, 120)(51, 121)(52, 122)(53, 123)(54, 124)(55, 125)(56, 126)(57, 127)(58, 128)(59, 129)(60, 130)(61, 131)(62, 132)(63, 133)(64, 134)(65, 135)(66, 136)(67, 137)(68, 138)(69, 139)(70, 140)
	local type(s) :: { ( 10, 70, 10, 70, 10, 70, 10, 70, 10, 70 ), ( 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70 ) }
Outer automorphisms :: reflexible
Dual of E28.370
Graph:: bipartite
	v = 8 e = 70 f = 8
	degree seq :: [ 10^7, 70 ]

E28.364 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 35, 35})
Quotient :: dipole
Aut^+ = C35 (small group id <35, 1>)
Aut   = D70 (small group id <70, 3>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3 * Y1, Y3 * Y1^2, Y1 * Y3^-2, (Y3^-1, Y2^-1), (Y2, Y1^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2^3 * Y1 * Y2^4, Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 36, 2, 37, 7, 42, 4, 39, 5, 40)(3, 38, 8, 43, 13, 48, 11, 46, 12, 47)(6, 41, 9, 44, 17, 52, 14, 49, 15, 50)(10, 45, 18, 53, 23, 58, 21, 56, 22, 57)(16, 51, 19, 54, 27, 62, 24, 59, 25, 60)(20, 55, 28, 63, 33, 68, 31, 66, 32, 67)(26, 61, 29, 64, 35, 70, 34, 69, 30, 65)(71, 106, 73, 108, 80, 115, 90, 125, 100, 135, 95, 130, 85, 120, 75, 110, 82, 117, 92, 127, 102, 137, 104, 139, 94, 129, 84, 119, 74, 109, 81, 116, 91, 126, 101, 136, 105, 140, 97, 132, 87, 122, 77, 112, 83, 118, 93, 128, 103, 138, 99, 134, 89, 124, 79, 114, 72, 107, 78, 113, 88, 123, 98, 133, 96, 131, 86, 121, 76, 111)
	L = (1, 74)(2, 75)(3, 81)(4, 72)(5, 77)(6, 84)(7, 71)(8, 82)(9, 85)(10, 91)(11, 78)(12, 83)(13, 73)(14, 79)(15, 87)(16, 94)(17, 76)(18, 92)(19, 95)(20, 101)(21, 88)(22, 93)(23, 80)(24, 89)(25, 97)(26, 104)(27, 86)(28, 102)(29, 100)(30, 105)(31, 98)(32, 103)(33, 90)(34, 99)(35, 96)(36, 106)(37, 107)(38, 108)(39, 109)(40, 110)(41, 111)(42, 112)(43, 113)(44, 114)(45, 115)(46, 116)(47, 117)(48, 118)(49, 119)(50, 120)(51, 121)(52, 122)(53, 123)(54, 124)(55, 125)(56, 126)(57, 127)(58, 128)(59, 129)(60, 130)(61, 131)(62, 132)(63, 133)(64, 134)(65, 135)(66, 136)(67, 137)(68, 138)(69, 139)(70, 140)
	local type(s) :: { ( 10, 70, 10, 70, 10, 70, 10, 70, 10, 70 ), ( 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70 ) }
Outer automorphisms :: reflexible
Dual of E28.368
Graph:: bipartite
	v = 8 e = 70 f = 8
	degree seq :: [ 10^7, 70 ]

E28.365 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 35, 35})
Quotient :: dipole
Aut^+ = C35 (small group id <35, 1>)
Aut   = D70 (small group id <70, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y3^-1, Y3 * Y1 * Y3, Y1 * Y3^-1 * Y1, (Y3^-1, Y2), (Y1^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y2^-3 * Y3^-1 * Y2^3, Y2^3 * Y3^-1 * Y2^4, (Y2^-1 * Y3)^35 ]
Map:: non-degenerate
	R = (1, 36, 2, 37, 4, 39, 7, 42, 5, 40)(3, 38, 8, 43, 11, 46, 13, 48, 12, 47)(6, 41, 9, 44, 14, 49, 17, 52, 15, 50)(10, 45, 18, 53, 21, 56, 23, 58, 22, 57)(16, 51, 19, 54, 24, 59, 27, 62, 25, 60)(20, 55, 28, 63, 31, 66, 33, 68, 32, 67)(26, 61, 29, 64, 30, 65, 35, 70, 34, 69)(71, 106, 73, 108, 80, 115, 90, 125, 100, 135, 94, 129, 84, 119, 74, 109, 81, 116, 91, 126, 101, 136, 104, 139, 95, 130, 85, 120, 75, 110, 82, 117, 92, 127, 102, 137, 99, 134, 89, 124, 79, 114, 72, 107, 78, 113, 88, 123, 98, 133, 105, 140, 97, 132, 87, 122, 77, 112, 83, 118, 93, 128, 103, 138, 96, 131, 86, 121, 76, 111)
	L = (1, 74)(2, 77)(3, 81)(4, 75)(5, 72)(6, 84)(7, 71)(8, 83)(9, 87)(10, 91)(11, 82)(12, 78)(13, 73)(14, 85)(15, 79)(16, 94)(17, 76)(18, 93)(19, 97)(20, 101)(21, 92)(22, 88)(23, 80)(24, 95)(25, 89)(26, 100)(27, 86)(28, 103)(29, 105)(30, 104)(31, 102)(32, 98)(33, 90)(34, 99)(35, 96)(36, 106)(37, 107)(38, 108)(39, 109)(40, 110)(41, 111)(42, 112)(43, 113)(44, 114)(45, 115)(46, 116)(47, 117)(48, 118)(49, 119)(50, 120)(51, 121)(52, 122)(53, 123)(54, 124)(55, 125)(56, 126)(57, 127)(58, 128)(59, 129)(60, 130)(61, 131)(62, 132)(63, 133)(64, 134)(65, 135)(66, 136)(67, 137)(68, 138)(69, 139)(70, 140)
	local type(s) :: { ( 10, 70, 10, 70, 10, 70, 10, 70, 10, 70 ), ( 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70 ) }
Outer automorphisms :: reflexible
Dual of E28.367
Graph:: bipartite
	v = 8 e = 70 f = 8
	degree seq :: [ 10^7, 70 ]

E28.366 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 35, 35})
Quotient :: dipole
Aut^+ = C35 (small group id <35, 1>)
Aut   = D70 (small group id <70, 3>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3 * Y1, Y3 * Y1^2, Y1 * Y3^-2, (Y2, Y1^-1), (R * Y1)^2, (Y2, Y3^-1), (R * Y3)^2, (R * Y2)^2, Y1 * Y2^-2 * Y1^-1 * Y2^2, Y2^5 * Y3^-1 * Y2^2, Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^3 ]
Map:: non-degenerate
	R = (1, 36, 2, 37, 7, 42, 4, 39, 5, 40)(3, 38, 8, 43, 13, 48, 11, 46, 12, 47)(6, 41, 9, 44, 17, 52, 14, 49, 15, 50)(10, 45, 18, 53, 23, 58, 21, 56, 22, 57)(16, 51, 19, 54, 27, 62, 24, 59, 25, 60)(20, 55, 28, 63, 33, 68, 31, 66, 32, 67)(26, 61, 29, 64, 35, 70, 30, 65, 34, 69)(71, 106, 73, 108, 80, 115, 90, 125, 100, 135, 94, 129, 84, 119, 74, 109, 81, 116, 91, 126, 101, 136, 99, 134, 89, 124, 79, 114, 72, 107, 78, 113, 88, 123, 98, 133, 104, 139, 95, 130, 85, 120, 75, 110, 82, 117, 92, 127, 102, 137, 105, 140, 97, 132, 87, 122, 77, 112, 83, 118, 93, 128, 103, 138, 96, 131, 86, 121, 76, 111)
	L = (1, 74)(2, 75)(3, 81)(4, 72)(5, 77)(6, 84)(7, 71)(8, 82)(9, 85)(10, 91)(11, 78)(12, 83)(13, 73)(14, 79)(15, 87)(16, 94)(17, 76)(18, 92)(19, 95)(20, 101)(21, 88)(22, 93)(23, 80)(24, 89)(25, 97)(26, 100)(27, 86)(28, 102)(29, 104)(30, 99)(31, 98)(32, 103)(33, 90)(34, 105)(35, 96)(36, 106)(37, 107)(38, 108)(39, 109)(40, 110)(41, 111)(42, 112)(43, 113)(44, 114)(45, 115)(46, 116)(47, 117)(48, 118)(49, 119)(50, 120)(51, 121)(52, 122)(53, 123)(54, 124)(55, 125)(56, 126)(57, 127)(58, 128)(59, 129)(60, 130)(61, 131)(62, 132)(63, 133)(64, 134)(65, 135)(66, 136)(67, 137)(68, 138)(69, 139)(70, 140)
	local type(s) :: { ( 10, 70, 10, 70, 10, 70, 10, 70, 10, 70 ), ( 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 8 e = 70 f = 8
	degree seq :: [ 10^7, 70 ]

E28.367 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 35, 35})
Quotient :: dipole
Aut^+ = C35 (small group id <35, 1>)
Aut   = D70 (small group id <70, 3>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, (Y2, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y1^5, (R * Y2 * Y3^-1)^2, Y2^7 * Y1^-1, (Y3^-1 * Y1^-1)^5, (Y3 * Y2^-1)^35 ]
Map:: non-degenerate
	R = (1, 36, 2, 37, 6, 41, 11, 46, 4, 39)(3, 38, 7, 42, 14, 49, 20, 55, 10, 45)(5, 40, 8, 43, 15, 50, 21, 56, 12, 47)(9, 44, 16, 51, 24, 59, 29, 64, 19, 54)(13, 48, 17, 52, 25, 60, 30, 65, 22, 57)(18, 53, 26, 61, 32, 67, 34, 69, 28, 63)(23, 58, 27, 62, 33, 68, 35, 70, 31, 66)(71, 106, 73, 108, 79, 114, 88, 123, 97, 132, 87, 122, 78, 113, 72, 107, 77, 112, 86, 121, 96, 131, 103, 138, 95, 130, 85, 120, 76, 111, 84, 119, 94, 129, 102, 137, 105, 140, 100, 135, 91, 126, 81, 116, 90, 125, 99, 134, 104, 139, 101, 136, 92, 127, 82, 117, 74, 109, 80, 115, 89, 124, 98, 133, 93, 128, 83, 118, 75, 110)
	L = (1, 72)(2, 76)(3, 77)(4, 71)(5, 78)(6, 81)(7, 84)(8, 85)(9, 86)(10, 73)(11, 74)(12, 75)(13, 87)(14, 90)(15, 91)(16, 94)(17, 95)(18, 96)(19, 79)(20, 80)(21, 82)(22, 83)(23, 97)(24, 99)(25, 100)(26, 102)(27, 103)(28, 88)(29, 89)(30, 92)(31, 93)(32, 104)(33, 105)(34, 98)(35, 101)(36, 106)(37, 107)(38, 108)(39, 109)(40, 110)(41, 111)(42, 112)(43, 113)(44, 114)(45, 115)(46, 116)(47, 117)(48, 118)(49, 119)(50, 120)(51, 121)(52, 122)(53, 123)(54, 124)(55, 125)(56, 126)(57, 127)(58, 128)(59, 129)(60, 130)(61, 131)(62, 132)(63, 133)(64, 134)(65, 135)(66, 136)(67, 137)(68, 138)(69, 139)(70, 140)
	local type(s) :: { ( 10, 70, 10, 70, 10, 70, 10, 70, 10, 70 ), ( 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70 ) }
Outer automorphisms :: reflexible
Dual of E28.365
Graph:: bipartite
	v = 8 e = 70 f = 8
	degree seq :: [ 10^7, 70 ]

E28.368 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 35, 35})
Quotient :: dipole
Aut^+ = C35 (small group id <35, 1>)
Aut   = D70 (small group id <70, 3>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-2, Y3^-1 * Y1 * Y3^-1, Y3 * Y1^2, (Y1^-1, Y2^-1), (R * Y2)^2, (Y2, Y3^-1), (R * Y3)^2, (R * Y1)^2, Y1 * Y2^-2 * Y1^-1 * Y2^2, Y2^6 * Y3 * Y2, Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 36, 2, 37, 7, 42, 4, 39, 5, 40)(3, 38, 8, 43, 13, 48, 11, 46, 12, 47)(6, 41, 9, 44, 17, 52, 14, 49, 15, 50)(10, 45, 18, 53, 23, 58, 21, 56, 22, 57)(16, 51, 19, 54, 27, 62, 24, 59, 25, 60)(20, 55, 28, 63, 33, 68, 31, 66, 32, 67)(26, 61, 29, 64, 30, 65, 34, 69, 35, 70)(71, 106, 73, 108, 80, 115, 90, 125, 100, 135, 97, 132, 87, 122, 77, 112, 83, 118, 93, 128, 103, 138, 105, 140, 95, 130, 85, 120, 75, 110, 82, 117, 92, 127, 102, 137, 99, 134, 89, 124, 79, 114, 72, 107, 78, 113, 88, 123, 98, 133, 104, 139, 94, 129, 84, 119, 74, 109, 81, 116, 91, 126, 101, 136, 96, 131, 86, 121, 76, 111)
	L = (1, 74)(2, 75)(3, 81)(4, 72)(5, 77)(6, 84)(7, 71)(8, 82)(9, 85)(10, 91)(11, 78)(12, 83)(13, 73)(14, 79)(15, 87)(16, 94)(17, 76)(18, 92)(19, 95)(20, 101)(21, 88)(22, 93)(23, 80)(24, 89)(25, 97)(26, 104)(27, 86)(28, 102)(29, 105)(30, 96)(31, 98)(32, 103)(33, 90)(34, 99)(35, 100)(36, 106)(37, 107)(38, 108)(39, 109)(40, 110)(41, 111)(42, 112)(43, 113)(44, 114)(45, 115)(46, 116)(47, 117)(48, 118)(49, 119)(50, 120)(51, 121)(52, 122)(53, 123)(54, 124)(55, 125)(56, 126)(57, 127)(58, 128)(59, 129)(60, 130)(61, 131)(62, 132)(63, 133)(64, 134)(65, 135)(66, 136)(67, 137)(68, 138)(69, 139)(70, 140)
	local type(s) :: { ( 10, 70, 10, 70, 10, 70, 10, 70, 10, 70 ), ( 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70 ) }
Outer automorphisms :: reflexible
Dual of E28.364
Graph:: bipartite
	v = 8 e = 70 f = 8
	degree seq :: [ 10^7, 70 ]

E28.369 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 35, 35})
Quotient :: dipole
Aut^+ = C35 (small group id <35, 1>)
Aut   = D70 (small group id <70, 3>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-1 * Y1, Y3^-2 * Y1^-1, Y1 * Y3^-1 * Y1, (Y1^-1, Y2^-1), (R * Y2)^2, (R * Y1)^2, (Y2, Y3), (R * Y3)^2, Y1 * Y2^-2 * Y1^-1 * Y2^2, Y2^5 * Y3 * Y2^2, (Y2^-1 * Y3)^35 ]
Map:: non-degenerate
	R = (1, 36, 2, 37, 4, 39, 7, 42, 5, 40)(3, 38, 8, 43, 11, 46, 13, 48, 12, 47)(6, 41, 9, 44, 14, 49, 17, 52, 15, 50)(10, 45, 18, 53, 21, 56, 23, 58, 22, 57)(16, 51, 19, 54, 24, 59, 27, 62, 25, 60)(20, 55, 28, 63, 31, 66, 33, 68, 32, 67)(26, 61, 29, 64, 34, 69, 30, 65, 35, 70)(71, 106, 73, 108, 80, 115, 90, 125, 100, 135, 97, 132, 87, 122, 77, 112, 83, 118, 93, 128, 103, 138, 99, 134, 89, 124, 79, 114, 72, 107, 78, 113, 88, 123, 98, 133, 105, 140, 95, 130, 85, 120, 75, 110, 82, 117, 92, 127, 102, 137, 104, 139, 94, 129, 84, 119, 74, 109, 81, 116, 91, 126, 101, 136, 96, 131, 86, 121, 76, 111)
	L = (1, 74)(2, 77)(3, 81)(4, 75)(5, 72)(6, 84)(7, 71)(8, 83)(9, 87)(10, 91)(11, 82)(12, 78)(13, 73)(14, 85)(15, 79)(16, 94)(17, 76)(18, 93)(19, 97)(20, 101)(21, 92)(22, 88)(23, 80)(24, 95)(25, 89)(26, 104)(27, 86)(28, 103)(29, 100)(30, 96)(31, 102)(32, 98)(33, 90)(34, 105)(35, 99)(36, 106)(37, 107)(38, 108)(39, 109)(40, 110)(41, 111)(42, 112)(43, 113)(44, 114)(45, 115)(46, 116)(47, 117)(48, 118)(49, 119)(50, 120)(51, 121)(52, 122)(53, 123)(54, 124)(55, 125)(56, 126)(57, 127)(58, 128)(59, 129)(60, 130)(61, 131)(62, 132)(63, 133)(64, 134)(65, 135)(66, 136)(67, 137)(68, 138)(69, 139)(70, 140)
	local type(s) :: { ( 10, 70, 10, 70, 10, 70, 10, 70, 10, 70 ), ( 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70 ) }
Outer automorphisms :: reflexible
Dual of E28.362
Graph:: bipartite
	v = 8 e = 70 f = 8
	degree seq :: [ 10^7, 70 ]

E28.370 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 35, 35})
Quotient :: dipole
Aut^+ = C35 (small group id <35, 1>)
Aut   = D70 (small group id <70, 3>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, Y3^-1 * Y1, Y1^-1 * Y3, (R * Y1)^2, (R * Y3)^2, (Y1, Y2^-1), Y3^5, Y1^5, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2^-2 * Y1^2 * Y2^2 * Y3^-1, Y1^-1 * Y2^-7, (Y3^-1 * Y1^-1)^5, (Y2^-1 * Y1)^35 ]
Map:: non-degenerate
	R = (1, 36, 2, 37, 6, 41, 11, 46, 4, 39)(3, 38, 7, 42, 14, 49, 20, 55, 10, 45)(5, 40, 8, 43, 15, 50, 21, 56, 12, 47)(9, 44, 16, 51, 24, 59, 30, 65, 19, 54)(13, 48, 17, 52, 25, 60, 31, 66, 22, 57)(18, 53, 26, 61, 32, 67, 35, 70, 29, 64)(23, 58, 27, 62, 33, 68, 34, 69, 28, 63)(71, 106, 73, 108, 79, 114, 88, 123, 98, 133, 92, 127, 82, 117, 74, 109, 80, 115, 89, 124, 99, 134, 104, 139, 101, 136, 91, 126, 81, 116, 90, 125, 100, 135, 105, 140, 103, 138, 95, 130, 85, 120, 76, 111, 84, 119, 94, 129, 102, 137, 97, 132, 87, 122, 78, 113, 72, 107, 77, 112, 86, 121, 96, 131, 93, 128, 83, 118, 75, 110)
	L = (1, 72)(2, 76)(3, 77)(4, 71)(5, 78)(6, 81)(7, 84)(8, 85)(9, 86)(10, 73)(11, 74)(12, 75)(13, 87)(14, 90)(15, 91)(16, 94)(17, 95)(18, 96)(19, 79)(20, 80)(21, 82)(22, 83)(23, 97)(24, 100)(25, 101)(26, 102)(27, 103)(28, 93)(29, 88)(30, 89)(31, 92)(32, 105)(33, 104)(34, 98)(35, 99)(36, 106)(37, 107)(38, 108)(39, 109)(40, 110)(41, 111)(42, 112)(43, 113)(44, 114)(45, 115)(46, 116)(47, 117)(48, 118)(49, 119)(50, 120)(51, 121)(52, 122)(53, 123)(54, 124)(55, 125)(56, 126)(57, 127)(58, 128)(59, 129)(60, 130)(61, 131)(62, 132)(63, 133)(64, 134)(65, 135)(66, 136)(67, 137)(68, 138)(69, 139)(70, 140)
	local type(s) :: { ( 10, 70, 10, 70, 10, 70, 10, 70, 10, 70 ), ( 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70, 10, 70 ) }
Outer automorphisms :: reflexible
Dual of E28.363
Graph:: bipartite
	v = 8 e = 70 f = 8
	degree seq :: [ 10^7, 70 ]

E28.371 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 35, 35})
Quotient :: dipole
Aut^+ = C35 (small group id <35, 1>)
Aut   = D70 (small group id <70, 3>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y1^-1), (R * Y1)^2, Y1^-2 * Y3^-1 * Y2^-1, (Y2^-1, Y3), Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1, (R * Y2)^2, (R * Y3)^2, Y1^-1 * Y2 * Y1^-1 * Y2^-2 * Y3^-1, Y2 * Y3^-2 * Y2 * Y3^-1 * Y1^-1, Y3 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y1^-1, Y2^-5 * Y3^-2, Y3^-1 * Y2^-1 * Y3^-1 * Y1 * Y3^-2 * Y2^-1, Y3^-14, Y3^-1 * Y2^-1 * Y1^33 ]
Map:: non-degenerate
	R = (1, 36, 2, 37, 8, 43, 22, 57, 31, 66, 17, 52, 27, 62, 19, 54, 28, 63, 20, 55, 29, 64, 32, 67, 15, 50, 3, 38, 9, 44, 7, 42, 12, 47, 24, 59, 34, 69, 18, 53, 4, 39, 10, 45, 6, 41, 11, 46, 23, 58, 33, 68, 13, 48, 25, 60, 16, 51, 26, 61, 21, 56, 30, 65, 35, 70, 14, 49, 5, 40)(71, 106, 73, 108, 83, 118, 101, 136, 94, 129, 91, 126, 98, 133, 80, 115, 75, 110, 85, 120, 103, 138, 92, 127, 82, 117, 96, 131, 89, 124, 74, 109, 84, 119, 102, 137, 93, 128, 78, 113, 77, 112, 86, 121, 97, 132, 88, 123, 105, 140, 99, 134, 81, 116, 72, 107, 79, 114, 95, 130, 87, 122, 104, 139, 100, 135, 90, 125, 76, 111)
	L = (1, 74)(2, 80)(3, 84)(4, 87)(5, 88)(6, 89)(7, 71)(8, 76)(9, 75)(10, 97)(11, 98)(12, 72)(13, 102)(14, 104)(15, 105)(16, 73)(17, 103)(18, 101)(19, 95)(20, 96)(21, 77)(22, 81)(23, 90)(24, 78)(25, 85)(26, 79)(27, 83)(28, 86)(29, 91)(30, 82)(31, 93)(32, 100)(33, 99)(34, 92)(35, 94)(36, 106)(37, 107)(38, 108)(39, 109)(40, 110)(41, 111)(42, 112)(43, 113)(44, 114)(45, 115)(46, 116)(47, 117)(48, 118)(49, 119)(50, 120)(51, 121)(52, 122)(53, 123)(54, 124)(55, 125)(56, 126)(57, 127)(58, 128)(59, 129)(60, 130)(61, 131)(62, 132)(63, 133)(64, 134)(65, 135)(66, 136)(67, 137)(68, 138)(69, 139)(70, 140)
	local type(s) :: { ( 10^70 ) }
Outer automorphisms :: reflexible
Dual of E28.357
Graph:: bipartite
	v = 2 e = 70 f = 14
	degree seq :: [ 70^2 ]

E28.372 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {6, 9, 9, 9})
Quotient :: edge^2
Aut^+ = (C2 x C2) : C9 (small group id <36, 3>)
Aut   = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^2 * Y3^-1, Y1^-1 * Y3 * Y1 * Y2^-1, (Y3^-1 * Y2)^2, Y2 * Y3 * Y2^-1 * Y1^-1, Y3^-1 * Y2 * Y3 * Y1^-1, (R * Y3)^2, Y1 * Y3^-2 * Y2, R * Y1 * R * Y2, Y1^-1 * Y3 * Y2 * Y1^-1, Y3 * Y2 * Y1^7, Y2 * Y1 * Y3^7, Y2^9, (Y3^-1 * Y2^-2)^6 ]
Map:: non-degenerate
	R = (1, 37, 4, 40, 13, 49, 19, 55, 31, 67, 35, 71, 25, 61, 16, 52, 7, 43)(2, 38, 10, 46, 23, 59, 29, 65, 34, 70, 27, 63, 15, 51, 6, 42, 12, 48)(3, 39, 9, 45, 20, 56, 30, 66, 36, 72, 28, 64, 18, 54, 24, 60, 14, 50)(5, 41, 11, 47, 22, 58, 8, 44, 21, 57, 32, 68, 33, 69, 26, 62, 17, 53)(73, 74, 80, 91, 101, 105, 97, 87, 77)(75, 85, 93, 102, 107, 98, 90, 79, 83)(76, 81, 95, 103, 108, 99, 88, 96, 84)(78, 86, 94, 82, 92, 104, 106, 100, 89)(109, 111, 118, 127, 138, 142, 133, 126, 114)(110, 117, 129, 137, 144, 134, 123, 132, 119)(112, 116, 128, 139, 141, 136, 124, 113, 122)(115, 120, 130, 121, 131, 140, 143, 135, 125)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 24^9 ), ( 24^18 ) }
Outer automorphisms :: reflexible
Dual of E28.378
Graph:: bipartite
	v = 12 e = 72 f = 6
	degree seq :: [ 9^8, 18^4 ]

E28.373 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {6, 9, 9, 9})
Quotient :: edge^2
Aut^+ = (C2 x C2) : C9 (small group id <36, 3>)
Aut   = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
|r| :: 2
Presentation :: [ R^2, R * Y1 * R * Y2, (Y2^-1 * Y1)^2, (R * Y3)^2, Y3 * Y1^-1 * Y3^-1 * Y2, Y3^-1 * Y2 * Y1 * Y2 * Y1, Y2 * Y1^-2 * Y3^-2, Y2^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1, Y1^2 * Y2^2 * Y3^-1, Y3 * Y2^2 * Y1^-1 * Y3^-1 * Y1^-1, Y1^9, Y3^9, Y2^9 ]
Map:: non-degenerate
	R = (1, 37, 4, 40, 18, 54, 32, 68, 24, 60, 13, 49, 33, 69, 31, 67, 7, 43)(2, 38, 10, 46, 34, 70, 28, 64, 6, 42, 19, 55, 23, 59, 14, 50, 12, 48)(3, 39, 15, 51, 21, 57, 30, 66, 35, 71, 20, 56, 27, 63, 9, 45, 16, 52)(5, 41, 22, 58, 26, 62, 8, 44, 29, 65, 36, 72, 17, 53, 11, 47, 25, 61)(73, 74, 80, 104, 100, 89, 105, 95, 77)(75, 85, 94, 102, 79, 101, 99, 90, 83)(76, 87, 84, 96, 107, 106, 103, 81, 91)(78, 93, 108, 86, 92, 97, 82, 88, 98)(109, 111, 122, 140, 138, 118, 141, 135, 114)(110, 117, 130, 136, 123, 137, 131, 143, 119)(112, 125, 124, 132, 113, 129, 139, 116, 128)(115, 120, 134, 126, 142, 144, 121, 127, 133)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 24^9 ), ( 24^18 ) }
Outer automorphisms :: reflexible
Dual of E28.379
Graph:: bipartite
	v = 12 e = 72 f = 6
	degree seq :: [ 9^8, 18^4 ]

E28.374 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {6, 9, 9, 9})
Quotient :: edge^2
Aut^+ = (C2 x C2) : C9 (small group id <36, 3>)
Aut   = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y2^-1 * Y1^-2 * Y3, Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1, Y3^6, Y3^-2 * Y1^-2 * Y3^-2 * Y1^-1, Y2^9, (Y1^-1 * Y3^-1 * Y2^-1)^9 ]
Map:: non-degenerate
	R = (1, 37, 3, 39, 10, 46, 27, 63, 17, 53, 5, 41)(2, 38, 7, 43, 20, 56, 30, 66, 13, 49, 8, 44)(4, 40, 12, 48, 6, 42, 18, 54, 32, 68, 14, 50)(9, 45, 25, 61, 34, 70, 33, 69, 15, 51, 26, 62)(11, 47, 28, 64, 24, 60, 22, 58, 16, 52, 19, 55)(21, 57, 31, 67, 36, 72, 29, 65, 23, 59, 35, 71)(73, 74, 78, 82, 92, 104, 89, 85, 76)(75, 81, 96, 99, 106, 88, 77, 87, 83)(79, 91, 108, 102, 100, 95, 80, 94, 93)(84, 101, 105, 90, 107, 98, 86, 103, 97)(109, 110, 114, 118, 128, 140, 125, 121, 112)(111, 117, 132, 135, 142, 124, 113, 123, 119)(115, 127, 144, 138, 136, 131, 116, 130, 129)(120, 137, 141, 126, 143, 134, 122, 139, 133)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 36^9 ), ( 36^12 ) }
Outer automorphisms :: reflexible
Dual of E28.376
Graph:: bipartite
	v = 14 e = 72 f = 4
	degree seq :: [ 9^8, 12^6 ]

E28.375 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {6, 9, 9, 9})
Quotient :: edge^2
Aut^+ = (C2 x C2) : C9 (small group id <36, 3>)
Aut   = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, Y1^2 * Y2 * Y3^2, Y3^2 * Y2 * Y1^2, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y2^-1, Y3^6, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-2, Y1 * Y3^-1 * Y1^2 * Y3^-1 * Y2^-1 * Y3 * Y1, Y2^9, Y1^9 ]
Map:: non-degenerate
	R = (1, 37, 3, 39, 10, 46, 26, 62, 17, 53, 5, 41)(2, 38, 7, 43, 13, 49, 30, 66, 23, 59, 8, 44)(4, 40, 12, 48, 27, 63, 18, 54, 6, 42, 14, 50)(9, 45, 24, 60, 28, 64, 32, 68, 15, 51, 25, 61)(11, 47, 19, 55, 33, 69, 34, 70, 16, 52, 21, 57)(20, 56, 31, 67, 36, 72, 29, 65, 22, 58, 35, 71)(73, 74, 78, 89, 95, 99, 82, 85, 76)(75, 81, 88, 77, 87, 105, 98, 100, 83)(79, 91, 94, 80, 93, 108, 102, 106, 92)(84, 101, 104, 86, 103, 96, 90, 107, 97)(109, 110, 114, 125, 131, 135, 118, 121, 112)(111, 117, 124, 113, 123, 141, 134, 136, 119)(115, 127, 130, 116, 129, 144, 138, 142, 128)(120, 137, 140, 122, 139, 132, 126, 143, 133)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 36^9 ), ( 36^12 ) }
Outer automorphisms :: reflexible
Dual of E28.377
Graph:: bipartite
	v = 14 e = 72 f = 4
	degree seq :: [ 9^8, 12^6 ]

E28.376 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {6, 9, 9, 9})
Quotient :: loop^2
Aut^+ = (C2 x C2) : C9 (small group id <36, 3>)
Aut   = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^2 * Y3^-1, Y1^-1 * Y3 * Y1 * Y2^-1, (Y3^-1 * Y2)^2, Y2 * Y3 * Y2^-1 * Y1^-1, Y3^-1 * Y2 * Y3 * Y1^-1, (R * Y3)^2, Y1 * Y3^-2 * Y2, R * Y1 * R * Y2, Y1^-1 * Y3 * Y2 * Y1^-1, Y3 * Y2 * Y1^7, Y2 * Y1 * Y3^7, Y2^9, (Y3^-1 * Y2^-2)^6 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 4, 40, 76, 112, 13, 49, 85, 121, 19, 55, 91, 127, 31, 67, 103, 139, 35, 71, 107, 143, 25, 61, 97, 133, 16, 52, 88, 124, 7, 43, 79, 115)(2, 38, 74, 110, 10, 46, 82, 118, 23, 59, 95, 131, 29, 65, 101, 137, 34, 70, 106, 142, 27, 63, 99, 135, 15, 51, 87, 123, 6, 42, 78, 114, 12, 48, 84, 120)(3, 39, 75, 111, 9, 45, 81, 117, 20, 56, 92, 128, 30, 66, 102, 138, 36, 72, 108, 144, 28, 64, 100, 136, 18, 54, 90, 126, 24, 60, 96, 132, 14, 50, 86, 122)(5, 41, 77, 113, 11, 47, 83, 119, 22, 58, 94, 130, 8, 44, 80, 116, 21, 57, 93, 129, 32, 68, 104, 140, 33, 69, 105, 141, 26, 62, 98, 134, 17, 53, 89, 125)
	L = (1, 38)(2, 44)(3, 49)(4, 45)(5, 37)(6, 50)(7, 47)(8, 55)(9, 59)(10, 56)(11, 39)(12, 40)(13, 57)(14, 58)(15, 41)(16, 60)(17, 42)(18, 43)(19, 65)(20, 68)(21, 66)(22, 46)(23, 67)(24, 48)(25, 51)(26, 54)(27, 52)(28, 53)(29, 69)(30, 71)(31, 72)(32, 70)(33, 61)(34, 64)(35, 62)(36, 63)(73, 111)(74, 117)(75, 118)(76, 116)(77, 122)(78, 109)(79, 120)(80, 128)(81, 129)(82, 127)(83, 110)(84, 130)(85, 131)(86, 112)(87, 132)(88, 113)(89, 115)(90, 114)(91, 138)(92, 139)(93, 137)(94, 121)(95, 140)(96, 119)(97, 126)(98, 123)(99, 125)(100, 124)(101, 144)(102, 142)(103, 141)(104, 143)(105, 136)(106, 133)(107, 135)(108, 134)
	local type(s) :: { ( 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.374
Transitivity :: VT+
Graph::
	v = 4 e = 72 f = 14
	degree seq :: [ 36^4 ]

E28.377 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {6, 9, 9, 9})
Quotient :: loop^2
Aut^+ = (C2 x C2) : C9 (small group id <36, 3>)
Aut   = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
|r| :: 2
Presentation :: [ R^2, R * Y1 * R * Y2, (Y2^-1 * Y1)^2, (R * Y3)^2, Y3 * Y1^-1 * Y3^-1 * Y2, Y3^-1 * Y2 * Y1 * Y2 * Y1, Y2 * Y1^-2 * Y3^-2, Y2^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1, Y1^2 * Y2^2 * Y3^-1, Y3 * Y2^2 * Y1^-1 * Y3^-1 * Y1^-1, Y1^9, Y3^9, Y2^9 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 4, 40, 76, 112, 18, 54, 90, 126, 32, 68, 104, 140, 24, 60, 96, 132, 13, 49, 85, 121, 33, 69, 105, 141, 31, 67, 103, 139, 7, 43, 79, 115)(2, 38, 74, 110, 10, 46, 82, 118, 34, 70, 106, 142, 28, 64, 100, 136, 6, 42, 78, 114, 19, 55, 91, 127, 23, 59, 95, 131, 14, 50, 86, 122, 12, 48, 84, 120)(3, 39, 75, 111, 15, 51, 87, 123, 21, 57, 93, 129, 30, 66, 102, 138, 35, 71, 107, 143, 20, 56, 92, 128, 27, 63, 99, 135, 9, 45, 81, 117, 16, 52, 88, 124)(5, 41, 77, 113, 22, 58, 94, 130, 26, 62, 98, 134, 8, 44, 80, 116, 29, 65, 101, 137, 36, 72, 108, 144, 17, 53, 89, 125, 11, 47, 83, 119, 25, 61, 97, 133)
	L = (1, 38)(2, 44)(3, 49)(4, 51)(5, 37)(6, 57)(7, 65)(8, 68)(9, 55)(10, 52)(11, 39)(12, 60)(13, 58)(14, 56)(15, 48)(16, 62)(17, 69)(18, 47)(19, 40)(20, 61)(21, 72)(22, 66)(23, 41)(24, 71)(25, 46)(26, 42)(27, 54)(28, 53)(29, 63)(30, 43)(31, 45)(32, 64)(33, 59)(34, 67)(35, 70)(36, 50)(73, 111)(74, 117)(75, 122)(76, 125)(77, 129)(78, 109)(79, 120)(80, 128)(81, 130)(82, 141)(83, 110)(84, 134)(85, 127)(86, 140)(87, 137)(88, 132)(89, 124)(90, 142)(91, 133)(92, 112)(93, 139)(94, 136)(95, 143)(96, 113)(97, 115)(98, 126)(99, 114)(100, 123)(101, 131)(102, 118)(103, 116)(104, 138)(105, 135)(106, 144)(107, 119)(108, 121)
	local type(s) :: { ( 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.375
Transitivity :: VT+
Graph::
	v = 4 e = 72 f = 14
	degree seq :: [ 36^4 ]

E28.378 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {6, 9, 9, 9})
Quotient :: loop^2
Aut^+ = (C2 x C2) : C9 (small group id <36, 3>)
Aut   = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y2^-1 * Y1^-2 * Y3, Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1, Y3^6, Y3^-2 * Y1^-2 * Y3^-2 * Y1^-1, Y2^9, (Y1^-1 * Y3^-1 * Y2^-1)^9 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 3, 39, 75, 111, 10, 46, 82, 118, 27, 63, 99, 135, 17, 53, 89, 125, 5, 41, 77, 113)(2, 38, 74, 110, 7, 43, 79, 115, 20, 56, 92, 128, 30, 66, 102, 138, 13, 49, 85, 121, 8, 44, 80, 116)(4, 40, 76, 112, 12, 48, 84, 120, 6, 42, 78, 114, 18, 54, 90, 126, 32, 68, 104, 140, 14, 50, 86, 122)(9, 45, 81, 117, 25, 61, 97, 133, 34, 70, 106, 142, 33, 69, 105, 141, 15, 51, 87, 123, 26, 62, 98, 134)(11, 47, 83, 119, 28, 64, 100, 136, 24, 60, 96, 132, 22, 58, 94, 130, 16, 52, 88, 124, 19, 55, 91, 127)(21, 57, 93, 129, 31, 67, 103, 139, 36, 72, 108, 144, 29, 65, 101, 137, 23, 59, 95, 131, 35, 71, 107, 143)
	L = (1, 38)(2, 42)(3, 45)(4, 37)(5, 51)(6, 46)(7, 55)(8, 58)(9, 60)(10, 56)(11, 39)(12, 65)(13, 40)(14, 67)(15, 47)(16, 41)(17, 49)(18, 71)(19, 72)(20, 68)(21, 43)(22, 57)(23, 44)(24, 63)(25, 48)(26, 50)(27, 70)(28, 59)(29, 69)(30, 64)(31, 61)(32, 53)(33, 54)(34, 52)(35, 62)(36, 66)(73, 110)(74, 114)(75, 117)(76, 109)(77, 123)(78, 118)(79, 127)(80, 130)(81, 132)(82, 128)(83, 111)(84, 137)(85, 112)(86, 139)(87, 119)(88, 113)(89, 121)(90, 143)(91, 144)(92, 140)(93, 115)(94, 129)(95, 116)(96, 135)(97, 120)(98, 122)(99, 142)(100, 131)(101, 141)(102, 136)(103, 133)(104, 125)(105, 126)(106, 124)(107, 134)(108, 138)
	local type(s) :: { ( 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.372
Transitivity :: VT+
Graph::
	v = 6 e = 72 f = 12
	degree seq :: [ 24^6 ]

E28.379 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {6, 9, 9, 9})
Quotient :: loop^2
Aut^+ = (C2 x C2) : C9 (small group id <36, 3>)
Aut   = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, Y1^2 * Y2 * Y3^2, Y3^2 * Y2 * Y1^2, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y2^-1, Y3^6, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-2, Y1 * Y3^-1 * Y1^2 * Y3^-1 * Y2^-1 * Y3 * Y1, Y2^9, Y1^9 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 3, 39, 75, 111, 10, 46, 82, 118, 26, 62, 98, 134, 17, 53, 89, 125, 5, 41, 77, 113)(2, 38, 74, 110, 7, 43, 79, 115, 13, 49, 85, 121, 30, 66, 102, 138, 23, 59, 95, 131, 8, 44, 80, 116)(4, 40, 76, 112, 12, 48, 84, 120, 27, 63, 99, 135, 18, 54, 90, 126, 6, 42, 78, 114, 14, 50, 86, 122)(9, 45, 81, 117, 24, 60, 96, 132, 28, 64, 100, 136, 32, 68, 104, 140, 15, 51, 87, 123, 25, 61, 97, 133)(11, 47, 83, 119, 19, 55, 91, 127, 33, 69, 105, 141, 34, 70, 106, 142, 16, 52, 88, 124, 21, 57, 93, 129)(20, 56, 92, 128, 31, 67, 103, 139, 36, 72, 108, 144, 29, 65, 101, 137, 22, 58, 94, 130, 35, 71, 107, 143)
	L = (1, 38)(2, 42)(3, 45)(4, 37)(5, 51)(6, 53)(7, 55)(8, 57)(9, 52)(10, 49)(11, 39)(12, 65)(13, 40)(14, 67)(15, 69)(16, 41)(17, 59)(18, 71)(19, 58)(20, 43)(21, 72)(22, 44)(23, 63)(24, 54)(25, 48)(26, 64)(27, 46)(28, 47)(29, 68)(30, 70)(31, 60)(32, 50)(33, 62)(34, 56)(35, 61)(36, 66)(73, 110)(74, 114)(75, 117)(76, 109)(77, 123)(78, 125)(79, 127)(80, 129)(81, 124)(82, 121)(83, 111)(84, 137)(85, 112)(86, 139)(87, 141)(88, 113)(89, 131)(90, 143)(91, 130)(92, 115)(93, 144)(94, 116)(95, 135)(96, 126)(97, 120)(98, 136)(99, 118)(100, 119)(101, 140)(102, 142)(103, 132)(104, 122)(105, 134)(106, 128)(107, 133)(108, 138)
	local type(s) :: { ( 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.373
Transitivity :: VT+
Graph::
	v = 6 e = 72 f = 12
	degree seq :: [ 24^6 ]

E28.380 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 9, 9, 9})
Quotient :: dipole
Aut^+ = (C2 x C2) : C9 (small group id <36, 3>)
Aut   = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, Y2 * Y3, (R * Y1)^2, R * Y2 * R * Y3^-1, Y2^-2 * Y1^-2 * Y2^-1, Y2^2 * Y1^2 * Y3^-1, Y3 * Y2^-2 * Y1^-2, Y1 * Y3 * Y1 * Y2^-1 * Y1^-1 * Y2^-1, Y1^6, Y2^2 * Y1^-2 * Y3^-1 * Y1^-2, Y1 * Y2 * Y1 * Y3 * Y2^-1 * Y1 * Y3^-1, Y3^2 * Y1 * Y2 * Y1 * Y3^-1 * Y1, Y2^9, Y1^-2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, (Y3 * Y2^-1)^9 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 6, 42, 18, 54, 17, 53, 5, 41)(3, 39, 9, 45, 13, 49, 30, 66, 28, 64, 11, 47)(4, 40, 12, 48, 19, 55, 26, 62, 10, 46, 14, 50)(7, 43, 20, 56, 23, 59, 32, 68, 15, 51, 21, 57)(8, 44, 22, 58, 33, 69, 34, 70, 16, 52, 24, 60)(25, 61, 31, 67, 36, 72, 29, 65, 27, 63, 35, 71)(73, 109, 75, 111, 82, 118, 89, 125, 100, 136, 91, 127, 78, 114, 85, 121, 76, 112)(74, 110, 79, 115, 88, 124, 77, 113, 87, 123, 105, 141, 90, 126, 95, 131, 80, 116)(81, 117, 94, 130, 99, 135, 83, 119, 96, 132, 108, 144, 102, 138, 106, 142, 97, 133)(84, 120, 101, 137, 104, 140, 86, 122, 103, 139, 92, 128, 98, 134, 107, 143, 93, 129)
	L = (1, 76)(2, 80)(3, 73)(4, 85)(5, 88)(6, 91)(7, 74)(8, 95)(9, 97)(10, 75)(11, 99)(12, 93)(13, 78)(14, 104)(15, 77)(16, 79)(17, 82)(18, 105)(19, 100)(20, 103)(21, 107)(22, 81)(23, 90)(24, 83)(25, 106)(26, 92)(27, 94)(28, 89)(29, 84)(30, 108)(31, 86)(32, 101)(33, 87)(34, 102)(35, 98)(36, 96)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 18^12 ), ( 18^18 ) }
Outer automorphisms :: reflexible
Dual of E28.391
Graph:: bipartite
	v = 10 e = 72 f = 8
	degree seq :: [ 12^6, 18^4 ]

E28.381 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 9, 9, 9})
Quotient :: dipole
Aut^+ = (C2 x C2) : C9 (small group id <36, 3>)
Aut   = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y3 * Y1^2 * Y2^-2, Y3 * Y2^-1 * Y1^2 * Y2^-1, Y1^-1 * Y3 * Y1^2 * Y3^-1 * Y1^-1, Y3 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y1^6, Y2 * Y1^2 * Y2 * Y1^2 * Y3^-1, Y1 * Y3^-2 * Y1 * Y2^-1 * Y1 * Y3, Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2^-1, Y2^9, Y1^-1 * Y2^-1 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^9 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 6, 42, 18, 54, 17, 53, 5, 41)(3, 39, 9, 45, 19, 55, 30, 66, 13, 49, 11, 47)(4, 40, 12, 48, 10, 46, 26, 62, 32, 68, 14, 50)(7, 43, 20, 56, 34, 70, 33, 69, 15, 51, 22, 58)(8, 44, 23, 59, 21, 57, 27, 63, 16, 52, 24, 60)(25, 61, 31, 67, 36, 72, 29, 65, 28, 64, 35, 71)(73, 109, 75, 111, 82, 118, 78, 114, 91, 127, 104, 140, 89, 125, 85, 121, 76, 112)(74, 110, 79, 115, 93, 129, 90, 126, 106, 142, 88, 124, 77, 113, 87, 123, 80, 116)(81, 117, 96, 132, 108, 144, 102, 138, 95, 131, 100, 136, 83, 119, 99, 135, 97, 133)(84, 120, 101, 137, 105, 141, 98, 134, 107, 143, 94, 130, 86, 122, 103, 139, 92, 128)
	L = (1, 76)(2, 80)(3, 73)(4, 85)(5, 88)(6, 82)(7, 74)(8, 87)(9, 97)(10, 75)(11, 100)(12, 92)(13, 89)(14, 94)(15, 77)(16, 106)(17, 104)(18, 93)(19, 78)(20, 103)(21, 79)(22, 107)(23, 102)(24, 81)(25, 99)(26, 105)(27, 83)(28, 95)(29, 84)(30, 108)(31, 86)(32, 91)(33, 101)(34, 90)(35, 98)(36, 96)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 18^12 ), ( 18^18 ) }
Outer automorphisms :: reflexible
Dual of E28.389
Graph:: bipartite
	v = 10 e = 72 f = 8
	degree seq :: [ 12^6, 18^4 ]

E28.382 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 9, 9, 9})
Quotient :: dipole
Aut^+ = (C2 x C2) : C9 (small group id <36, 3>)
Aut   = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-2 * Y2, (R * Y1)^2, (Y2^-1 * Y3^-1)^2, (R * Y3)^2, Y3^-1 * Y1 * Y2^2, Y2^-1 * Y3^-1 * Y1^-3, Y1 * Y3 * Y2^-1 * Y1 * Y3, Y1 * Y2^-1 * Y1 * Y2^-1 * Y3, Y3 * Y2^-1 * Y3 * Y1^-1 * Y3^-1 * Y2^-1, Y1^-1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3 * Y1 * Y2^-1 * Y3 * Y2^-1, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 19, 55, 22, 58, 5, 41)(3, 39, 13, 49, 27, 63, 7, 43, 26, 62, 16, 52)(4, 40, 18, 54, 23, 59, 30, 66, 11, 47, 20, 56)(6, 42, 25, 61, 14, 50, 31, 67, 10, 46, 17, 53)(9, 45, 24, 60, 32, 68, 12, 48, 21, 57, 29, 65)(15, 51, 28, 64, 35, 71, 36, 72, 33, 69, 34, 70)(73, 109, 75, 111, 86, 122, 80, 116, 99, 135, 82, 118, 94, 130, 98, 134, 78, 114)(74, 110, 81, 117, 76, 112, 91, 127, 104, 140, 95, 131, 77, 113, 93, 129, 83, 119)(79, 115, 92, 128, 107, 143, 88, 124, 90, 126, 105, 141, 85, 121, 102, 138, 87, 123)(84, 120, 103, 139, 108, 144, 101, 137, 89, 125, 106, 142, 96, 132, 97, 133, 100, 136)
	L = (1, 76)(2, 82)(3, 87)(4, 85)(5, 86)(6, 84)(7, 73)(8, 95)(9, 100)(10, 96)(11, 88)(12, 74)(13, 94)(14, 101)(15, 103)(16, 80)(17, 75)(18, 93)(19, 78)(20, 104)(21, 106)(22, 83)(23, 79)(24, 77)(25, 99)(26, 105)(27, 107)(28, 90)(29, 91)(30, 81)(31, 98)(32, 108)(33, 97)(34, 92)(35, 89)(36, 102)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 18^12 ), ( 18^18 ) }
Outer automorphisms :: reflexible
Dual of E28.387
Graph:: bipartite
	v = 10 e = 72 f = 8
	degree seq :: [ 12^6, 18^4 ]

E28.383 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 9, 9, 9})
Quotient :: dipole
Aut^+ = (C2 x C2) : C9 (small group id <36, 3>)
Aut   = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1 * Y2, Y1^-2 * Y2^-1 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1 * Y2 * Y3 * Y1, Y3^3 * Y2 * Y3, Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1, Y1 * Y2^-1 * Y3^-1 * Y1 * Y3^-1 * Y2^-1, Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y2^-1, Y1^2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 24, 60, 14, 50, 5, 41)(3, 39, 13, 49, 7, 43, 22, 58, 17, 53, 15, 51)(4, 40, 16, 52, 6, 42, 21, 57, 23, 59, 18, 54)(9, 45, 25, 61, 12, 48, 30, 66, 19, 55, 26, 62)(10, 46, 27, 63, 11, 47, 29, 65, 20, 56, 28, 64)(31, 67, 36, 72, 32, 68, 34, 70, 33, 69, 35, 71)(73, 109, 75, 111, 76, 112, 86, 122, 89, 125, 95, 131, 80, 116, 79, 115, 78, 114)(74, 110, 81, 117, 82, 118, 77, 113, 91, 127, 92, 128, 96, 132, 84, 120, 83, 119)(85, 121, 101, 137, 103, 139, 87, 123, 99, 135, 105, 141, 94, 130, 100, 136, 104, 140)(88, 124, 106, 142, 97, 133, 90, 126, 108, 144, 98, 134, 93, 129, 107, 143, 102, 138)
	L = (1, 76)(2, 82)(3, 86)(4, 89)(5, 92)(6, 75)(7, 73)(8, 78)(9, 77)(10, 91)(11, 81)(12, 74)(13, 103)(14, 95)(15, 105)(16, 97)(17, 80)(18, 98)(19, 96)(20, 84)(21, 102)(22, 104)(23, 79)(24, 83)(25, 108)(26, 107)(27, 94)(28, 85)(29, 87)(30, 106)(31, 99)(32, 101)(33, 100)(34, 90)(35, 88)(36, 93)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 18^12 ), ( 18^18 ) }
Outer automorphisms :: reflexible
Dual of E28.388
Graph:: bipartite
	v = 10 e = 72 f = 8
	degree seq :: [ 12^6, 18^4 ]

E28.384 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 9, 9, 9})
Quotient :: dipole
Aut^+ = (C2 x C2) : C9 (small group id <36, 3>)
Aut   = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3 * Y2^-1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y1^2 * Y2^-1 * Y3^-1, Y1 * Y3^-1 * Y2^-1 * Y1, Y1^2 * Y3^3, Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y3, Y1 * Y3 * Y1 * Y2^-1 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 24, 60, 18, 54, 5, 41)(3, 39, 13, 49, 16, 52, 22, 58, 7, 43, 14, 50)(4, 40, 15, 51, 23, 59, 21, 57, 6, 42, 17, 53)(9, 45, 25, 61, 20, 56, 30, 66, 12, 48, 26, 62)(10, 46, 27, 63, 19, 55, 29, 65, 11, 47, 28, 64)(31, 67, 35, 71, 33, 69, 34, 70, 32, 68, 36, 72)(73, 109, 75, 111, 76, 112, 80, 116, 88, 124, 95, 131, 90, 126, 79, 115, 78, 114)(74, 110, 81, 117, 82, 118, 96, 132, 92, 128, 91, 127, 77, 113, 84, 120, 83, 119)(85, 121, 101, 137, 103, 139, 94, 130, 100, 136, 105, 141, 86, 122, 99, 135, 104, 140)(87, 123, 106, 142, 98, 134, 93, 129, 108, 144, 97, 133, 89, 125, 107, 143, 102, 138)
	L = (1, 76)(2, 82)(3, 80)(4, 88)(5, 83)(6, 75)(7, 73)(8, 95)(9, 96)(10, 92)(11, 81)(12, 74)(13, 103)(14, 104)(15, 98)(16, 90)(17, 102)(18, 78)(19, 84)(20, 77)(21, 97)(22, 105)(23, 79)(24, 91)(25, 107)(26, 108)(27, 85)(28, 86)(29, 94)(30, 106)(31, 100)(32, 101)(33, 99)(34, 93)(35, 87)(36, 89)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 18^12 ), ( 18^18 ) }
Outer automorphisms :: reflexible
Dual of E28.390
Graph:: bipartite
	v = 10 e = 72 f = 8
	degree seq :: [ 12^6, 18^4 ]

E28.385 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 9, 9, 9})
Quotient :: dipole
Aut^+ = (C2 x C2) : C9 (small group id <36, 3>)
Aut   = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-1 * Y1, Y3^2 * Y1^-1 * Y2^-1, (R * Y1^-1)^2, Y3^2 * Y1^-1 * Y2^-1, (Y3 * R)^2, (R * Y1)^2, Y2^-3 * Y1^-2, Y1 * Y3 * Y2^-1 * Y1 * Y3, Y2 * Y3 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, (Y2 * Y3^-1 * Y2)^2, Y1^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 28, 64, 20, 56, 5, 41)(3, 39, 12, 48, 25, 61, 36, 72, 26, 62, 7, 43)(4, 40, 16, 52, 29, 65, 32, 68, 21, 57, 17, 53)(6, 42, 23, 59, 10, 46, 15, 51, 13, 49, 24, 60)(9, 45, 30, 66, 18, 54, 22, 58, 19, 55, 11, 47)(14, 50, 31, 67, 35, 71, 34, 70, 27, 63, 33, 69)(73, 109, 75, 111, 85, 121, 92, 128, 98, 134, 82, 118, 80, 116, 97, 133, 78, 114)(74, 110, 81, 117, 93, 129, 77, 113, 91, 127, 101, 137, 100, 136, 90, 126, 76, 112)(79, 115, 89, 125, 107, 143, 108, 144, 104, 140, 86, 122, 84, 120, 88, 124, 99, 135)(83, 119, 95, 131, 106, 142, 94, 130, 96, 132, 103, 139, 102, 138, 87, 123, 105, 141)
	L = (1, 76)(2, 82)(3, 86)(4, 84)(5, 78)(6, 83)(7, 73)(8, 101)(9, 103)(10, 102)(11, 74)(12, 80)(13, 94)(14, 96)(15, 75)(16, 91)(17, 90)(18, 106)(19, 105)(20, 93)(21, 79)(22, 77)(23, 98)(24, 97)(25, 107)(26, 99)(27, 87)(28, 85)(29, 108)(30, 100)(31, 89)(32, 81)(33, 104)(34, 88)(35, 95)(36, 92)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 18^12 ), ( 18^18 ) }
Outer automorphisms :: reflexible
Dual of E28.386
Graph:: bipartite
	v = 10 e = 72 f = 8
	degree seq :: [ 12^6, 18^4 ]

E28.386 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 9, 9, 9})
Quotient :: dipole
Aut^+ = (C2 x C2) : C9 (small group id <36, 3>)
Aut   = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^-1, (R * Y1)^2, R * Y2 * R * Y3^-1, Y1 * Y3 * Y1^-2 * Y2^-1, Y1 * Y2 * Y1^-1 * Y3^-1 * Y1, Y1 * Y2 * Y3^-1 * Y1 * Y3^-2, Y1 * Y2^2 * Y1 * Y3^-2, Y3^2 * Y1^3 * Y2^-1, Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y3^-1, (Y3^-2 * Y2)^3, Y2^9, (Y3^-1 * Y1^-1)^6, (Y3 * Y2^-1)^9 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 6, 42, 18, 54, 35, 71, 36, 72, 31, 67, 17, 53, 5, 41)(3, 39, 9, 45, 8, 44, 22, 58, 32, 68, 21, 57, 13, 49, 29, 65, 11, 47)(4, 40, 12, 48, 27, 63, 10, 46, 26, 62, 25, 61, 33, 69, 15, 51, 14, 50)(7, 43, 20, 56, 19, 55, 28, 64, 24, 60, 30, 66, 23, 59, 34, 70, 16, 52)(73, 109, 75, 111, 82, 118, 90, 126, 94, 130, 105, 141, 103, 139, 85, 121, 76, 112)(74, 110, 79, 115, 93, 129, 107, 143, 100, 136, 83, 119, 89, 125, 95, 131, 80, 116)(77, 113, 87, 123, 91, 127, 78, 114, 84, 120, 102, 138, 108, 144, 98, 134, 88, 124)(81, 117, 96, 132, 86, 122, 104, 140, 106, 142, 99, 135, 101, 137, 92, 128, 97, 133)
	L = (1, 76)(2, 80)(3, 73)(4, 85)(5, 88)(6, 91)(7, 74)(8, 95)(9, 97)(10, 75)(11, 100)(12, 78)(13, 103)(14, 96)(15, 77)(16, 98)(17, 83)(18, 82)(19, 87)(20, 101)(21, 79)(22, 90)(23, 89)(24, 81)(25, 92)(26, 108)(27, 106)(28, 107)(29, 99)(30, 84)(31, 105)(32, 86)(33, 94)(34, 104)(35, 93)(36, 102)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.385
Graph:: bipartite
	v = 8 e = 72 f = 10
	degree seq :: [ 18^8 ]

E28.387 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 9, 9, 9})
Quotient :: dipole
Aut^+ = (C2 x C2) : C9 (small group id <36, 3>)
Aut   = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, (R * Y1)^2, R * Y2 * R * Y3^-1, Y2 * Y1^-1 * Y2^-1 * Y3 * Y1^-1, Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3, Y1^-1 * Y3 * Y1^-2 * Y2^-1 * Y1^-1, Y1 * Y2 * Y1^2 * Y3^-1 * Y1, Y1^3 * Y3 * Y2^-2, Y1 * Y3^2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1, (Y2^2 * Y3^-1)^3, Y2^9, (Y3^-2 * Y2)^3, (Y3 * Y2^-1)^9 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 6, 42, 18, 54, 28, 64, 30, 66, 31, 67, 17, 53, 5, 41)(3, 39, 9, 45, 25, 61, 35, 71, 24, 60, 8, 44, 13, 49, 29, 65, 11, 47)(4, 40, 12, 48, 27, 63, 10, 46, 15, 51, 33, 69, 36, 72, 19, 55, 14, 50)(7, 43, 21, 57, 16, 52, 34, 70, 32, 68, 20, 56, 23, 59, 26, 62, 22, 58)(73, 109, 75, 111, 82, 118, 90, 126, 107, 143, 108, 144, 103, 139, 85, 121, 76, 112)(74, 110, 79, 115, 83, 119, 100, 136, 106, 142, 97, 133, 89, 125, 95, 131, 80, 116)(77, 113, 87, 123, 92, 128, 78, 114, 91, 127, 94, 130, 102, 138, 84, 120, 88, 124)(81, 117, 98, 134, 99, 135, 96, 132, 93, 129, 105, 141, 101, 137, 104, 140, 86, 122)
	L = (1, 76)(2, 80)(3, 73)(4, 85)(5, 88)(6, 92)(7, 74)(8, 95)(9, 86)(10, 75)(11, 79)(12, 102)(13, 103)(14, 104)(15, 77)(16, 84)(17, 97)(18, 82)(19, 78)(20, 87)(21, 96)(22, 91)(23, 89)(24, 99)(25, 106)(26, 81)(27, 98)(28, 83)(29, 105)(30, 94)(31, 108)(32, 101)(33, 93)(34, 100)(35, 90)(36, 107)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.382
Graph:: bipartite
	v = 8 e = 72 f = 10
	degree seq :: [ 18^8 ]

E28.388 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 9, 9, 9})
Quotient :: dipole
Aut^+ = (C2 x C2) : C9 (small group id <36, 3>)
Aut   = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1 * Y3, (Y3^-1 * Y2^-1)^2, Y1 * Y3^-1 * Y1^-1 * Y2^-1, (R * Y1^-1)^2, (R * Y3)^2, Y1^-1 * Y3^-1 * Y2^-2 * Y3, Y1^3 * Y2^-3, Y2 * Y1^-3 * Y2^2, Y2^2 * Y1^5 * Y3, (Y1^-1 * Y2)^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 26, 62, 35, 71, 34, 70, 36, 72, 20, 56, 5, 41)(3, 39, 11, 47, 10, 46, 27, 63, 24, 60, 16, 52, 23, 59, 30, 66, 14, 50)(4, 40, 15, 51, 28, 64, 25, 61, 13, 49, 22, 58, 32, 68, 21, 57, 18, 54)(6, 42, 9, 45, 29, 65, 12, 48, 33, 69, 17, 53, 31, 67, 19, 55, 7, 43)(73, 109, 75, 111, 84, 120, 98, 134, 99, 135, 103, 139, 108, 144, 95, 131, 78, 114)(74, 110, 76, 112, 88, 124, 107, 143, 97, 133, 86, 122, 92, 128, 104, 140, 82, 118)(77, 113, 91, 127, 100, 136, 80, 116, 81, 117, 94, 130, 106, 142, 105, 141, 90, 126)(79, 115, 96, 132, 93, 129, 101, 137, 102, 138, 87, 123, 89, 125, 83, 119, 85, 121)
	L = (1, 76)(2, 81)(3, 85)(4, 89)(5, 75)(6, 94)(7, 73)(8, 99)(9, 102)(10, 103)(11, 74)(12, 90)(13, 106)(14, 84)(15, 80)(16, 78)(17, 108)(18, 88)(19, 96)(20, 91)(21, 77)(22, 82)(23, 87)(24, 107)(25, 79)(26, 97)(27, 93)(28, 86)(29, 98)(30, 92)(31, 100)(32, 101)(33, 83)(34, 95)(35, 105)(36, 104)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.383
Graph:: bipartite
	v = 8 e = 72 f = 10
	degree seq :: [ 18^8 ]

E28.389 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 9, 9, 9})
Quotient :: dipole
Aut^+ = (C2 x C2) : C9 (small group id <36, 3>)
Aut   = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
|r| :: 2
Presentation :: [ R^2, (R * Y1)^2, Y1 * Y3^-1 * Y1^-1 * Y2^-1, (R * Y3)^2, (Y3^-1 * Y2^-1)^2, Y1 * Y3^-1 * Y2^-1 * Y1 * Y2, Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1, Y1^2 * Y3 * Y2^2, Y1 * Y2^-2 * Y3^2, (Y1^-1 * R * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-2 * Y1 * Y2^-1 * Y1^-1, Y3 * Y2^-1 * Y1^-4, Y2^9, Y3^9 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 32, 68, 21, 57, 16, 52, 35, 71, 24, 60, 5, 41)(3, 39, 12, 48, 18, 54, 23, 59, 36, 72, 11, 47, 28, 64, 30, 66, 15, 51)(4, 40, 17, 53, 26, 62, 31, 67, 25, 61, 34, 70, 9, 45, 14, 50, 20, 56)(6, 42, 10, 46, 19, 55, 13, 49, 22, 58, 7, 43, 29, 65, 33, 69, 27, 63)(73, 109, 75, 111, 85, 121, 104, 140, 95, 131, 101, 137, 107, 143, 100, 136, 78, 114)(74, 110, 81, 117, 87, 123, 93, 129, 76, 112, 90, 126, 96, 132, 103, 139, 83, 119)(77, 113, 94, 130, 98, 134, 80, 116, 105, 141, 106, 142, 88, 124, 82, 118, 92, 128)(79, 115, 102, 138, 89, 125, 99, 135, 84, 120, 97, 133, 91, 127, 108, 144, 86, 122)
	L = (1, 76)(2, 82)(3, 86)(4, 91)(5, 95)(6, 98)(7, 73)(8, 100)(9, 99)(10, 102)(11, 85)(12, 74)(13, 106)(14, 80)(15, 101)(16, 75)(17, 88)(18, 78)(19, 107)(20, 83)(21, 94)(22, 84)(23, 89)(24, 105)(25, 77)(26, 87)(27, 104)(28, 97)(29, 92)(30, 96)(31, 79)(32, 103)(33, 108)(34, 90)(35, 81)(36, 93)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.381
Graph:: bipartite
	v = 8 e = 72 f = 10
	degree seq :: [ 18^8 ]

E28.390 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 9, 9, 9})
Quotient :: dipole
Aut^+ = (C2 x C2) : C9 (small group id <36, 3>)
Aut   = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1 * Y2, (Y3, Y2), (R * Y1)^2, (Y1 * Y2^-1)^2, (R * Y3)^2, (R * Y2)^2, Y3 * Y2 * Y1^-3, Y1 * Y3 * Y1 * Y3^-2, Y2 * Y3^4, Y3 * Y1^-1 * Y3 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 14, 50, 30, 66, 34, 70, 24, 60, 20, 56, 5, 41)(3, 39, 13, 49, 10, 46, 16, 52, 35, 71, 26, 62, 7, 43, 25, 61, 11, 47)(4, 40, 15, 51, 33, 69, 27, 63, 22, 58, 23, 59, 6, 42, 18, 54, 17, 53)(9, 45, 29, 65, 28, 64, 31, 67, 36, 72, 21, 57, 12, 48, 32, 68, 19, 55)(73, 109, 75, 111, 76, 112, 86, 122, 88, 124, 99, 135, 96, 132, 79, 115, 78, 114)(74, 110, 81, 117, 82, 118, 102, 138, 103, 139, 98, 134, 92, 128, 84, 120, 83, 119)(77, 113, 90, 126, 91, 127, 80, 116, 87, 123, 100, 136, 106, 142, 94, 130, 93, 129)(85, 121, 101, 137, 105, 141, 107, 143, 108, 144, 95, 131, 97, 133, 104, 140, 89, 125)
	L = (1, 76)(2, 82)(3, 86)(4, 88)(5, 91)(6, 75)(7, 73)(8, 100)(9, 102)(10, 103)(11, 81)(12, 74)(13, 105)(14, 99)(15, 106)(16, 96)(17, 101)(18, 80)(19, 87)(20, 83)(21, 90)(22, 77)(23, 104)(24, 78)(25, 89)(26, 84)(27, 79)(28, 94)(29, 107)(30, 98)(31, 92)(32, 85)(33, 108)(34, 93)(35, 95)(36, 97)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.384
Graph:: bipartite
	v = 8 e = 72 f = 10
	degree seq :: [ 18^8 ]

E28.391 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 9, 9, 9})
Quotient :: dipole
Aut^+ = (C2 x C2) : C9 (small group id <36, 3>)
Aut   = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y2, (Y1 * Y2^-1)^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1^3 * Y3 * Y2, Y2^-4 * Y3^-1, Y1 * Y2^2 * Y1 * Y3, Y3 * Y1 * Y3 * Y1^-2, Y3 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 25, 61, 32, 68, 35, 71, 15, 51, 20, 56, 5, 41)(3, 39, 13, 49, 27, 63, 7, 43, 26, 62, 10, 46, 24, 60, 30, 66, 11, 47)(4, 40, 16, 52, 23, 59, 6, 42, 18, 54, 34, 70, 14, 50, 22, 58, 17, 53)(9, 45, 29, 65, 19, 55, 12, 48, 33, 69, 21, 57, 31, 67, 36, 72, 28, 64)(73, 109, 75, 111, 86, 122, 97, 133, 79, 115, 76, 112, 87, 123, 96, 132, 78, 114)(74, 110, 81, 117, 99, 135, 104, 140, 84, 120, 82, 118, 92, 128, 103, 139, 83, 119)(77, 113, 90, 126, 100, 136, 80, 116, 94, 130, 91, 127, 107, 143, 88, 124, 93, 129)(85, 121, 101, 137, 89, 125, 98, 134, 105, 141, 95, 131, 102, 138, 108, 144, 106, 142)
	L = (1, 76)(2, 82)(3, 87)(4, 75)(5, 91)(6, 79)(7, 73)(8, 93)(9, 92)(10, 81)(11, 84)(12, 74)(13, 95)(14, 96)(15, 86)(16, 80)(17, 108)(18, 107)(19, 90)(20, 99)(21, 94)(22, 77)(23, 101)(24, 97)(25, 78)(26, 106)(27, 103)(28, 88)(29, 102)(30, 89)(31, 104)(32, 83)(33, 85)(34, 105)(35, 100)(36, 98)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.380
Graph:: bipartite
	v = 8 e = 72 f = 10
	degree seq :: [ 18^8 ]

E28.392 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {6, 6, 12, 12})
Quotient :: edge^2
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2, Y3 * Y2^-1 * Y3^-1 * Y2^-1, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y2^2 * Y3^-1 * Y1^-2, Y2^6, Y1^6, Y1 * Y3^-3 * Y1 * Y3^3, Y3 * Y1^-1 * Y3^2 * Y2 * Y3^3 * Y2^-1, Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3^-4, Y3^12 ]
Map:: non-degenerate
	R = (1, 37, 4, 40, 12, 48, 23, 59, 35, 71, 26, 62, 14, 50, 25, 61, 36, 72, 24, 60, 13, 49, 5, 41)(2, 38, 7, 43, 17, 53, 29, 65, 32, 68, 20, 56, 9, 45, 19, 55, 31, 67, 30, 66, 18, 54, 8, 44)(3, 39, 10, 46, 21, 57, 33, 69, 28, 64, 16, 52, 6, 42, 15, 51, 27, 63, 34, 70, 22, 58, 11, 47)(73, 74, 78, 86, 81, 75)(76, 82, 91, 97, 87, 79)(77, 83, 92, 98, 88, 80)(84, 89, 99, 108, 103, 93)(85, 90, 100, 107, 104, 94)(95, 105, 102, 96, 106, 101)(109, 111, 117, 122, 114, 110)(112, 115, 123, 133, 127, 118)(113, 116, 124, 134, 128, 119)(120, 129, 139, 144, 135, 125)(121, 130, 140, 143, 136, 126)(131, 137, 142, 132, 138, 141)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 48^6 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E28.398
Graph:: bipartite
	v = 15 e = 72 f = 3
	degree seq :: [ 6^12, 24^3 ]

E28.393 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {6, 6, 12, 12})
Quotient :: edge^2
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1 * Y3^-1 * Y1, (R * Y3)^2, R * Y1 * R * Y2, Y1 * Y3^-1 * Y2^-1 * Y3, (Y1^-1, Y2^-1), Y3^-1 * Y2^2 * Y3^-1 * Y2^-1, Y2^-1 * Y1 * Y2^-1 * Y3^2, Y2 * Y3^2 * Y1^-2, Y1^3 * Y2^3, Y1^6, Y2^6, Y3^12, Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 37, 4, 40, 17, 53, 31, 67, 9, 45, 30, 66, 26, 62, 35, 71, 21, 57, 33, 69, 25, 61, 7, 43)(2, 38, 10, 46, 13, 49, 32, 68, 27, 63, 34, 70, 20, 56, 24, 60, 6, 42, 18, 54, 15, 51, 12, 48)(3, 39, 14, 50, 8, 44, 28, 64, 29, 65, 36, 72, 23, 59, 22, 58, 5, 41, 19, 55, 11, 47, 16, 52)(73, 74, 80, 98, 92, 77)(75, 81, 99, 95, 97, 87)(76, 86, 104, 107, 94, 90)(78, 83, 89, 85, 101, 93)(79, 88, 82, 102, 108, 96)(84, 103, 100, 106, 105, 91)(109, 111, 121, 134, 131, 114)(110, 117, 137, 128, 133, 119)(112, 118, 136, 143, 132, 127)(113, 123, 125, 116, 135, 129)(115, 120, 122, 138, 142, 130)(124, 139, 140, 144, 141, 126)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 48^6 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E28.399
Graph:: bipartite
	v = 15 e = 72 f = 3
	degree seq :: [ 6^12, 24^3 ]

E28.394 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {6, 6, 12, 12})
Quotient :: edge^2
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C3 x (C3 : C4)) : C2 (small group id <72, 21>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y2^-2, Y3 * Y1^-1 * Y3 * Y1, R * Y1 * R * Y2, Y2 * Y3^-1 * Y2^-1 * Y3^-1, (Y1^-1, Y2), (R * Y3)^2, Y3^-1 * Y1^-1 * Y2 * Y3^-2, Y1^-5 * Y2^-1, Y2^12, Y1 * Y3^-2 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 37, 4, 40, 15, 51, 11, 47, 22, 58, 7, 43)(2, 38, 10, 46, 14, 50, 3, 39, 13, 49, 12, 48)(5, 41, 18, 54, 17, 53, 6, 42, 21, 57, 16, 52)(8, 44, 25, 61, 28, 64, 9, 45, 27, 63, 26, 62)(19, 55, 29, 65, 32, 68, 20, 56, 30, 66, 31, 67)(23, 59, 33, 69, 36, 72, 24, 60, 35, 71, 34, 70)(73, 74, 80, 95, 92, 78, 83, 75, 81, 96, 91, 77)(76, 84, 97, 106, 102, 89, 94, 86, 99, 108, 101, 88)(79, 82, 98, 105, 104, 93, 87, 85, 100, 107, 103, 90)(109, 111, 116, 132, 128, 113, 119, 110, 117, 131, 127, 114)(112, 122, 133, 144, 138, 124, 130, 120, 135, 142, 137, 125)(115, 121, 134, 143, 140, 126, 123, 118, 136, 141, 139, 129)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E28.401
Graph:: bipartite
	v = 12 e = 72 f = 6
	degree seq :: [ 12^12 ]

E28.395 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {6, 6, 12, 12})
Quotient :: edge^2
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C3 x (C3 : C4)) : C2 (small group id <72, 21>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1^-2, R * Y1 * R * Y2, (Y2^-1, Y1^-1), (R * Y3)^2, Y2 * Y3^-1 * Y1 * Y3^-1, Y1 * Y3^2 * Y1 * Y3^-1, Y3^2 * Y1^-1 * Y2 * Y3, Y1^-1 * Y3^-1 * Y1^2 * Y3 * Y1^-1, Y2^-5 * Y1^-1, Y2^2 * Y3^-1 * Y1^-1 * Y3^-1 * Y2, Y2^2 * Y3^-1 * Y2^-1 * Y3^-1 * Y1, Y1^12, (Y1^-1 * Y3^-1 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 37, 4, 40, 17, 53, 11, 47, 26, 62, 7, 43)(2, 38, 10, 46, 14, 50, 3, 39, 13, 49, 12, 48)(5, 41, 18, 54, 23, 59, 6, 42, 22, 58, 21, 57)(8, 44, 29, 65, 32, 68, 9, 45, 31, 67, 30, 66)(15, 51, 28, 64, 25, 61, 16, 52, 27, 63, 24, 60)(19, 55, 36, 72, 34, 70, 20, 56, 35, 71, 33, 69)(73, 74, 80, 99, 92, 78, 83, 75, 81, 100, 91, 77)(76, 87, 101, 93, 107, 84, 98, 88, 103, 95, 108, 86)(79, 94, 102, 85, 106, 97, 89, 90, 104, 82, 105, 96)(109, 111, 116, 136, 128, 113, 119, 110, 117, 135, 127, 114)(112, 124, 137, 131, 143, 122, 134, 123, 139, 129, 144, 120)(115, 126, 138, 118, 142, 132, 125, 130, 140, 121, 141, 133)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E28.400
Graph:: bipartite
	v = 12 e = 72 f = 6
	degree seq :: [ 12^12 ]

E28.396 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {6, 6, 12, 12})
Quotient :: edge^2
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C3 x (C3 : C4)) : C2 (small group id <72, 21>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1^-2, (R * Y3)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, R * Y1 * R * Y2, (Y2, Y1), Y3^-1 * Y2^-1 * Y1 * Y3^-2, Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3, Y1^-1 * Y3^-1 * Y1^2 * Y3 * Y1^-1, Y3 * Y1^-1 * Y3 * Y2^-2 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1^-1 * Y2^-2, Y2^-3 * Y3^-1 * Y1 * Y3^-1, Y1^12 ]
Map:: non-degenerate
	R = (1, 37, 4, 40, 17, 53, 11, 47, 26, 62, 7, 43)(2, 38, 10, 46, 14, 50, 3, 39, 13, 49, 12, 48)(5, 41, 20, 56, 15, 51, 6, 42, 23, 59, 16, 52)(8, 44, 29, 65, 32, 68, 9, 45, 31, 67, 30, 66)(18, 54, 27, 63, 25, 61, 19, 55, 28, 64, 24, 60)(21, 57, 35, 71, 33, 69, 22, 58, 36, 72, 34, 70)(73, 74, 80, 99, 94, 78, 83, 75, 81, 100, 93, 77)(76, 87, 101, 86, 108, 91, 98, 88, 103, 84, 107, 90)(79, 96, 102, 92, 105, 82, 89, 97, 104, 95, 106, 85)(109, 111, 116, 136, 130, 113, 119, 110, 117, 135, 129, 114)(112, 124, 137, 120, 144, 126, 134, 123, 139, 122, 143, 127)(115, 133, 138, 131, 141, 121, 125, 132, 140, 128, 142, 118)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E28.402
Graph:: bipartite
	v = 12 e = 72 f = 6
	degree seq :: [ 12^12 ]

E28.397 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {6, 6, 12, 12})
Quotient :: edge^2
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = C12 x S3 (small group id <72, 27>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1, Y3^-1 * Y1 * Y3^-1 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y3^6, Y3^-3 * Y2 * Y3^-3 * Y2^-1, Y1^3 * Y3^-3 * Y1 * Y2^-2, Y2^12, Y1^12 ]
Map:: non-degenerate
	R = (1, 37, 4, 40, 12, 48, 24, 60, 13, 49, 5, 41)(2, 38, 7, 43, 17, 53, 30, 66, 18, 54, 8, 44)(3, 39, 10, 46, 22, 58, 36, 72, 23, 59, 11, 47)(6, 42, 15, 51, 28, 64, 31, 67, 29, 65, 16, 52)(9, 45, 20, 56, 34, 70, 25, 61, 35, 71, 21, 57)(14, 50, 26, 62, 33, 69, 19, 55, 32, 68, 27, 63)(73, 74, 78, 86, 97, 108, 96, 102, 103, 91, 81, 75)(76, 80, 87, 99, 107, 94, 85, 89, 101, 105, 92, 83)(77, 79, 88, 98, 106, 95, 84, 90, 100, 104, 93, 82)(109, 111, 117, 127, 139, 138, 132, 144, 133, 122, 114, 110)(112, 119, 128, 141, 137, 125, 121, 130, 143, 135, 123, 116)(113, 118, 129, 140, 136, 126, 120, 131, 142, 134, 124, 115)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E28.403
Graph:: bipartite
	v = 12 e = 72 f = 6
	degree seq :: [ 12^12 ]

E28.398 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {6, 6, 12, 12})
Quotient :: loop^2
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2, Y3 * Y2^-1 * Y3^-1 * Y2^-1, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y2^2 * Y3^-1 * Y1^-2, Y2^6, Y1^6, Y1 * Y3^-3 * Y1 * Y3^3, Y3 * Y1^-1 * Y3^2 * Y2 * Y3^3 * Y2^-1, Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3^-4, Y3^12 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 4, 40, 76, 112, 12, 48, 84, 120, 23, 59, 95, 131, 35, 71, 107, 143, 26, 62, 98, 134, 14, 50, 86, 122, 25, 61, 97, 133, 36, 72, 108, 144, 24, 60, 96, 132, 13, 49, 85, 121, 5, 41, 77, 113)(2, 38, 74, 110, 7, 43, 79, 115, 17, 53, 89, 125, 29, 65, 101, 137, 32, 68, 104, 140, 20, 56, 92, 128, 9, 45, 81, 117, 19, 55, 91, 127, 31, 67, 103, 139, 30, 66, 102, 138, 18, 54, 90, 126, 8, 44, 80, 116)(3, 39, 75, 111, 10, 46, 82, 118, 21, 57, 93, 129, 33, 69, 105, 141, 28, 64, 100, 136, 16, 52, 88, 124, 6, 42, 78, 114, 15, 51, 87, 123, 27, 63, 99, 135, 34, 70, 106, 142, 22, 58, 94, 130, 11, 47, 83, 119)
	L = (1, 38)(2, 42)(3, 37)(4, 46)(5, 47)(6, 50)(7, 40)(8, 41)(9, 39)(10, 55)(11, 56)(12, 53)(13, 54)(14, 45)(15, 43)(16, 44)(17, 63)(18, 64)(19, 61)(20, 62)(21, 48)(22, 49)(23, 69)(24, 70)(25, 51)(26, 52)(27, 72)(28, 71)(29, 59)(30, 60)(31, 57)(32, 58)(33, 66)(34, 65)(35, 68)(36, 67)(73, 111)(74, 109)(75, 117)(76, 115)(77, 116)(78, 110)(79, 123)(80, 124)(81, 122)(82, 112)(83, 113)(84, 129)(85, 130)(86, 114)(87, 133)(88, 134)(89, 120)(90, 121)(91, 118)(92, 119)(93, 139)(94, 140)(95, 137)(96, 138)(97, 127)(98, 128)(99, 125)(100, 126)(101, 142)(102, 141)(103, 144)(104, 143)(105, 131)(106, 132)(107, 136)(108, 135)
	local type(s) :: { ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.392
Transitivity :: VT+
Graph::
	v = 3 e = 72 f = 15
	degree seq :: [ 48^3 ]

E28.399 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {6, 6, 12, 12})
Quotient :: loop^2
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1 * Y3^-1 * Y1, (R * Y3)^2, R * Y1 * R * Y2, Y1 * Y3^-1 * Y2^-1 * Y3, (Y1^-1, Y2^-1), Y3^-1 * Y2^2 * Y3^-1 * Y2^-1, Y2^-1 * Y1 * Y2^-1 * Y3^2, Y2 * Y3^2 * Y1^-2, Y1^3 * Y2^3, Y1^6, Y2^6, Y3^12, Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 4, 40, 76, 112, 17, 53, 89, 125, 31, 67, 103, 139, 9, 45, 81, 117, 30, 66, 102, 138, 26, 62, 98, 134, 35, 71, 107, 143, 21, 57, 93, 129, 33, 69, 105, 141, 25, 61, 97, 133, 7, 43, 79, 115)(2, 38, 74, 110, 10, 46, 82, 118, 13, 49, 85, 121, 32, 68, 104, 140, 27, 63, 99, 135, 34, 70, 106, 142, 20, 56, 92, 128, 24, 60, 96, 132, 6, 42, 78, 114, 18, 54, 90, 126, 15, 51, 87, 123, 12, 48, 84, 120)(3, 39, 75, 111, 14, 50, 86, 122, 8, 44, 80, 116, 28, 64, 100, 136, 29, 65, 101, 137, 36, 72, 108, 144, 23, 59, 95, 131, 22, 58, 94, 130, 5, 41, 77, 113, 19, 55, 91, 127, 11, 47, 83, 119, 16, 52, 88, 124)
	L = (1, 38)(2, 44)(3, 45)(4, 50)(5, 37)(6, 47)(7, 52)(8, 62)(9, 63)(10, 66)(11, 53)(12, 67)(13, 65)(14, 68)(15, 39)(16, 46)(17, 49)(18, 40)(19, 48)(20, 41)(21, 42)(22, 54)(23, 61)(24, 43)(25, 51)(26, 56)(27, 59)(28, 70)(29, 57)(30, 72)(31, 64)(32, 71)(33, 55)(34, 69)(35, 58)(36, 60)(73, 111)(74, 117)(75, 121)(76, 118)(77, 123)(78, 109)(79, 120)(80, 135)(81, 137)(82, 136)(83, 110)(84, 122)(85, 134)(86, 138)(87, 125)(88, 139)(89, 116)(90, 124)(91, 112)(92, 133)(93, 113)(94, 115)(95, 114)(96, 127)(97, 119)(98, 131)(99, 129)(100, 143)(101, 128)(102, 142)(103, 140)(104, 144)(105, 126)(106, 130)(107, 132)(108, 141)
	local type(s) :: { ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.393
Transitivity :: VT+
Graph::
	v = 3 e = 72 f = 15
	degree seq :: [ 48^3 ]

E28.400 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {6, 6, 12, 12})
Quotient :: loop^2
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C3 x (C3 : C4)) : C2 (small group id <72, 21>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y2^-2, Y3 * Y1^-1 * Y3 * Y1, R * Y1 * R * Y2, Y2 * Y3^-1 * Y2^-1 * Y3^-1, (Y1^-1, Y2), (R * Y3)^2, Y3^-1 * Y1^-1 * Y2 * Y3^-2, Y1^-5 * Y2^-1, Y2^12, Y1 * Y3^-2 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 4, 40, 76, 112, 15, 51, 87, 123, 11, 47, 83, 119, 22, 58, 94, 130, 7, 43, 79, 115)(2, 38, 74, 110, 10, 46, 82, 118, 14, 50, 86, 122, 3, 39, 75, 111, 13, 49, 85, 121, 12, 48, 84, 120)(5, 41, 77, 113, 18, 54, 90, 126, 17, 53, 89, 125, 6, 42, 78, 114, 21, 57, 93, 129, 16, 52, 88, 124)(8, 44, 80, 116, 25, 61, 97, 133, 28, 64, 100, 136, 9, 45, 81, 117, 27, 63, 99, 135, 26, 62, 98, 134)(19, 55, 91, 127, 29, 65, 101, 137, 32, 68, 104, 140, 20, 56, 92, 128, 30, 66, 102, 138, 31, 67, 103, 139)(23, 59, 95, 131, 33, 69, 105, 141, 36, 72, 108, 144, 24, 60, 96, 132, 35, 71, 107, 143, 34, 70, 106, 142)
	L = (1, 38)(2, 44)(3, 45)(4, 48)(5, 37)(6, 47)(7, 46)(8, 59)(9, 60)(10, 62)(11, 39)(12, 61)(13, 64)(14, 63)(15, 49)(16, 40)(17, 58)(18, 43)(19, 41)(20, 42)(21, 51)(22, 50)(23, 56)(24, 55)(25, 70)(26, 69)(27, 72)(28, 71)(29, 52)(30, 53)(31, 54)(32, 57)(33, 68)(34, 66)(35, 67)(36, 65)(73, 111)(74, 117)(75, 116)(76, 122)(77, 119)(78, 109)(79, 121)(80, 132)(81, 131)(82, 136)(83, 110)(84, 135)(85, 134)(86, 133)(87, 118)(88, 130)(89, 112)(90, 123)(91, 114)(92, 113)(93, 115)(94, 120)(95, 127)(96, 128)(97, 144)(98, 143)(99, 142)(100, 141)(101, 125)(102, 124)(103, 129)(104, 126)(105, 139)(106, 137)(107, 140)(108, 138)
	local type(s) :: { ( 12^24 ) }
Outer automorphisms :: reflexible
Dual of E28.395
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 72 f = 12
	degree seq :: [ 24^6 ]

E28.401 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {6, 6, 12, 12})
Quotient :: loop^2
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C3 x (C3 : C4)) : C2 (small group id <72, 21>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1^-2, R * Y1 * R * Y2, (Y2^-1, Y1^-1), (R * Y3)^2, Y2 * Y3^-1 * Y1 * Y3^-1, Y1 * Y3^2 * Y1 * Y3^-1, Y3^2 * Y1^-1 * Y2 * Y3, Y1^-1 * Y3^-1 * Y1^2 * Y3 * Y1^-1, Y2^-5 * Y1^-1, Y2^2 * Y3^-1 * Y1^-1 * Y3^-1 * Y2, Y2^2 * Y3^-1 * Y2^-1 * Y3^-1 * Y1, Y1^12, (Y1^-1 * Y3^-1 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 4, 40, 76, 112, 17, 53, 89, 125, 11, 47, 83, 119, 26, 62, 98, 134, 7, 43, 79, 115)(2, 38, 74, 110, 10, 46, 82, 118, 14, 50, 86, 122, 3, 39, 75, 111, 13, 49, 85, 121, 12, 48, 84, 120)(5, 41, 77, 113, 18, 54, 90, 126, 23, 59, 95, 131, 6, 42, 78, 114, 22, 58, 94, 130, 21, 57, 93, 129)(8, 44, 80, 116, 29, 65, 101, 137, 32, 68, 104, 140, 9, 45, 81, 117, 31, 67, 103, 139, 30, 66, 102, 138)(15, 51, 87, 123, 28, 64, 100, 136, 25, 61, 97, 133, 16, 52, 88, 124, 27, 63, 99, 135, 24, 60, 96, 132)(19, 55, 91, 127, 36, 72, 108, 144, 34, 70, 106, 142, 20, 56, 92, 128, 35, 71, 107, 143, 33, 69, 105, 141)
	L = (1, 38)(2, 44)(3, 45)(4, 51)(5, 37)(6, 47)(7, 58)(8, 63)(9, 64)(10, 69)(11, 39)(12, 62)(13, 70)(14, 40)(15, 65)(16, 67)(17, 54)(18, 68)(19, 41)(20, 42)(21, 71)(22, 66)(23, 72)(24, 43)(25, 53)(26, 52)(27, 56)(28, 55)(29, 57)(30, 49)(31, 59)(32, 46)(33, 60)(34, 61)(35, 48)(36, 50)(73, 111)(74, 117)(75, 116)(76, 124)(77, 119)(78, 109)(79, 126)(80, 136)(81, 135)(82, 142)(83, 110)(84, 112)(85, 141)(86, 134)(87, 139)(88, 137)(89, 130)(90, 138)(91, 114)(92, 113)(93, 144)(94, 140)(95, 143)(96, 125)(97, 115)(98, 123)(99, 127)(100, 128)(101, 131)(102, 118)(103, 129)(104, 121)(105, 133)(106, 132)(107, 122)(108, 120)
	local type(s) :: { ( 12^24 ) }
Outer automorphisms :: reflexible
Dual of E28.394
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 72 f = 12
	degree seq :: [ 24^6 ]

E28.402 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {6, 6, 12, 12})
Quotient :: loop^2
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C3 x (C3 : C4)) : C2 (small group id <72, 21>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1^-2, (R * Y3)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, R * Y1 * R * Y2, (Y2, Y1), Y3^-1 * Y2^-1 * Y1 * Y3^-2, Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3, Y1^-1 * Y3^-1 * Y1^2 * Y3 * Y1^-1, Y3 * Y1^-1 * Y3 * Y2^-2 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1^-1 * Y2^-2, Y2^-3 * Y3^-1 * Y1 * Y3^-1, Y1^12 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 4, 40, 76, 112, 17, 53, 89, 125, 11, 47, 83, 119, 26, 62, 98, 134, 7, 43, 79, 115)(2, 38, 74, 110, 10, 46, 82, 118, 14, 50, 86, 122, 3, 39, 75, 111, 13, 49, 85, 121, 12, 48, 84, 120)(5, 41, 77, 113, 20, 56, 92, 128, 15, 51, 87, 123, 6, 42, 78, 114, 23, 59, 95, 131, 16, 52, 88, 124)(8, 44, 80, 116, 29, 65, 101, 137, 32, 68, 104, 140, 9, 45, 81, 117, 31, 67, 103, 139, 30, 66, 102, 138)(18, 54, 90, 126, 27, 63, 99, 135, 25, 61, 97, 133, 19, 55, 91, 127, 28, 64, 100, 136, 24, 60, 96, 132)(21, 57, 93, 129, 35, 71, 107, 143, 33, 69, 105, 141, 22, 58, 94, 130, 36, 72, 108, 144, 34, 70, 106, 142)
	L = (1, 38)(2, 44)(3, 45)(4, 51)(5, 37)(6, 47)(7, 60)(8, 63)(9, 64)(10, 53)(11, 39)(12, 71)(13, 43)(14, 72)(15, 65)(16, 67)(17, 61)(18, 40)(19, 62)(20, 69)(21, 41)(22, 42)(23, 70)(24, 66)(25, 68)(26, 52)(27, 58)(28, 57)(29, 50)(30, 56)(31, 48)(32, 59)(33, 46)(34, 49)(35, 54)(36, 55)(73, 111)(74, 117)(75, 116)(76, 124)(77, 119)(78, 109)(79, 133)(80, 136)(81, 135)(82, 115)(83, 110)(84, 144)(85, 125)(86, 143)(87, 139)(88, 137)(89, 132)(90, 134)(91, 112)(92, 142)(93, 114)(94, 113)(95, 141)(96, 140)(97, 138)(98, 123)(99, 129)(100, 130)(101, 120)(102, 131)(103, 122)(104, 128)(105, 121)(106, 118)(107, 127)(108, 126)
	local type(s) :: { ( 12^24 ) }
Outer automorphisms :: reflexible
Dual of E28.396
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 72 f = 12
	degree seq :: [ 24^6 ]

E28.403 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {6, 6, 12, 12})
Quotient :: loop^2
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = C12 x S3 (small group id <72, 27>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1, Y3^-1 * Y1 * Y3^-1 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y3^6, Y3^-3 * Y2 * Y3^-3 * Y2^-1, Y1^3 * Y3^-3 * Y1 * Y2^-2, Y2^12, Y1^12 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 4, 40, 76, 112, 12, 48, 84, 120, 24, 60, 96, 132, 13, 49, 85, 121, 5, 41, 77, 113)(2, 38, 74, 110, 7, 43, 79, 115, 17, 53, 89, 125, 30, 66, 102, 138, 18, 54, 90, 126, 8, 44, 80, 116)(3, 39, 75, 111, 10, 46, 82, 118, 22, 58, 94, 130, 36, 72, 108, 144, 23, 59, 95, 131, 11, 47, 83, 119)(6, 42, 78, 114, 15, 51, 87, 123, 28, 64, 100, 136, 31, 67, 103, 139, 29, 65, 101, 137, 16, 52, 88, 124)(9, 45, 81, 117, 20, 56, 92, 128, 34, 70, 106, 142, 25, 61, 97, 133, 35, 71, 107, 143, 21, 57, 93, 129)(14, 50, 86, 122, 26, 62, 98, 134, 33, 69, 105, 141, 19, 55, 91, 127, 32, 68, 104, 140, 27, 63, 99, 135)
	L = (1, 38)(2, 42)(3, 37)(4, 44)(5, 43)(6, 50)(7, 52)(8, 51)(9, 39)(10, 41)(11, 40)(12, 54)(13, 53)(14, 61)(15, 63)(16, 62)(17, 65)(18, 64)(19, 45)(20, 47)(21, 46)(22, 49)(23, 48)(24, 66)(25, 72)(26, 70)(27, 71)(28, 68)(29, 69)(30, 67)(31, 55)(32, 57)(33, 56)(34, 59)(35, 58)(36, 60)(73, 111)(74, 109)(75, 117)(76, 119)(77, 118)(78, 110)(79, 113)(80, 112)(81, 127)(82, 129)(83, 128)(84, 131)(85, 130)(86, 114)(87, 116)(88, 115)(89, 121)(90, 120)(91, 139)(92, 141)(93, 140)(94, 143)(95, 142)(96, 144)(97, 122)(98, 124)(99, 123)(100, 126)(101, 125)(102, 132)(103, 138)(104, 136)(105, 137)(106, 134)(107, 135)(108, 133)
	local type(s) :: { ( 12^24 ) }
Outer automorphisms :: reflexible
Dual of E28.397
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 72 f = 12
	degree seq :: [ 24^6 ]

E28.404 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1, Y1^-1), Y3^4, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y3^-1, Y2^-1), Y3^2 * Y2^-3, Y2^-1 * Y1 * Y3 * Y1 * Y3, Y1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1, Y1^2 * Y3^2 * Y1, Y2^-1 * Y3 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y1^-1 * Y2^2 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 18, 54, 22, 58, 5, 41)(3, 39, 9, 45, 29, 65, 25, 61, 35, 71, 15, 51)(4, 40, 17, 53, 28, 64, 7, 43, 27, 63, 19, 55)(6, 42, 11, 47, 30, 66, 13, 49, 31, 67, 23, 59)(10, 46, 16, 52, 36, 72, 12, 48, 14, 50, 34, 70)(20, 56, 24, 60, 33, 69, 26, 62, 21, 57, 32, 68)(73, 109, 75, 111, 85, 121, 90, 126, 97, 133, 78, 114)(74, 110, 81, 117, 103, 139, 94, 130, 107, 143, 83, 119)(76, 112, 86, 122, 98, 134, 79, 115, 88, 124, 92, 128)(77, 113, 87, 123, 102, 138, 80, 116, 101, 137, 95, 131)(82, 118, 104, 140, 91, 127, 84, 120, 105, 141, 100, 136)(89, 125, 106, 142, 93, 129, 99, 135, 108, 144, 96, 132)
	L = (1, 76)(2, 82)(3, 86)(4, 90)(5, 93)(6, 92)(7, 73)(8, 96)(9, 104)(10, 94)(11, 100)(12, 74)(13, 98)(14, 97)(15, 99)(16, 75)(17, 87)(18, 79)(19, 83)(20, 85)(21, 80)(22, 84)(23, 106)(24, 77)(25, 88)(26, 78)(27, 101)(28, 103)(29, 89)(30, 108)(31, 91)(32, 107)(33, 81)(34, 102)(35, 105)(36, 95)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E28.425
Graph:: bipartite
	v = 12 e = 72 f = 6
	degree seq :: [ 12^12 ]

E28.405 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y1)^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y3)^2, Y1^6, (R * Y2 * Y3^-1)^2, Y1^6, Y2^3 * Y1 * Y2^-3 * Y1, Y2^-2 * Y1^3 * Y2^-4, (Y3^-1 * Y1^-1)^6, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 37, 2, 38, 6, 42, 14, 50, 11, 47, 4, 40)(3, 39, 9, 45, 19, 55, 25, 61, 15, 51, 7, 43)(5, 41, 12, 48, 22, 58, 26, 62, 16, 52, 8, 44)(10, 46, 17, 53, 27, 63, 36, 72, 31, 67, 20, 56)(13, 49, 18, 54, 28, 64, 33, 69, 34, 70, 23, 59)(21, 57, 32, 68, 30, 66, 24, 60, 35, 71, 29, 65)(73, 109, 75, 111, 82, 118, 93, 129, 105, 141, 98, 134, 86, 122, 97, 133, 108, 144, 96, 132, 85, 121, 77, 113)(74, 110, 79, 115, 89, 125, 101, 137, 106, 142, 94, 130, 83, 119, 91, 127, 103, 139, 102, 138, 90, 126, 80, 116)(76, 112, 81, 117, 92, 128, 104, 140, 100, 136, 88, 124, 78, 114, 87, 123, 99, 135, 107, 143, 95, 131, 84, 120)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 9 e = 72 f = 9
	degree seq :: [ 12^6, 24^3 ]

E28.406 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y1)^2, (R * Y3)^2, Y1^2 * Y2 * Y1^-1 * Y2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2^-3 * Y1^-1 * Y2^-1, Y1 * Y2^-2 * Y1^-1 * Y2^2, Y1^6, Y1^-1 * Y2 * Y1^-1 * Y2^7, (Y3^-1 * Y1^-1)^6, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 37, 2, 38, 6, 42, 18, 54, 13, 49, 4, 40)(3, 39, 9, 45, 8, 44, 22, 58, 28, 64, 11, 47)(5, 41, 15, 51, 32, 68, 30, 66, 12, 48, 16, 52)(7, 43, 20, 56, 19, 55, 31, 67, 26, 62, 14, 50)(10, 46, 21, 57, 25, 61, 34, 70, 36, 72, 27, 63)(17, 53, 23, 59, 33, 69, 35, 71, 29, 65, 24, 60)(73, 109, 75, 111, 82, 118, 98, 134, 107, 143, 102, 138, 90, 126, 94, 130, 106, 142, 92, 128, 89, 125, 77, 113)(74, 110, 79, 115, 93, 129, 88, 124, 101, 137, 83, 119, 85, 121, 103, 139, 108, 144, 104, 140, 95, 131, 80, 116)(76, 112, 84, 120, 99, 135, 100, 136, 105, 141, 91, 127, 78, 114, 87, 123, 97, 133, 81, 117, 96, 132, 86, 122)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 9 e = 72 f = 9
	degree seq :: [ 12^6, 24^3 ]

E28.407 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y3)^2, (R * Y1)^2, Y1^-2 * Y2 * Y1 * Y2, Y1^6, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2^-2 * Y1^-1 * Y2, Y1^6, Y2 * Y1^-1 * Y2^3 * Y1^-1, (Y3^-1 * Y1^-1)^6, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 37, 2, 38, 6, 42, 18, 54, 13, 49, 4, 40)(3, 39, 9, 45, 24, 60, 30, 66, 14, 50, 11, 47)(5, 41, 15, 51, 7, 43, 20, 56, 32, 68, 16, 52)(8, 44, 22, 58, 19, 55, 29, 65, 28, 64, 12, 48)(10, 46, 21, 57, 33, 69, 36, 72, 27, 63, 26, 62)(17, 53, 23, 59, 25, 61, 34, 70, 35, 71, 31, 67)(73, 109, 75, 111, 82, 118, 94, 130, 106, 142, 92, 128, 90, 126, 102, 138, 108, 144, 100, 136, 89, 125, 77, 113)(74, 110, 79, 115, 93, 129, 96, 132, 107, 143, 101, 137, 85, 121, 88, 124, 99, 135, 83, 119, 95, 131, 80, 116)(76, 112, 84, 120, 98, 134, 87, 123, 97, 133, 81, 117, 78, 114, 91, 127, 105, 141, 104, 140, 103, 139, 86, 122)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 9 e = 72 f = 9
	degree seq :: [ 12^6, 24^3 ]

E28.408 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^2, Y3^3, Y3 * Y2^-1 * Y3 * Y2, (R * Y1)^2, (Y3^-1, Y1), (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 20, 56, 16, 52, 5, 41)(3, 39, 9, 45, 21, 57, 28, 64, 17, 53, 6, 42)(4, 40, 10, 46, 22, 58, 31, 67, 26, 62, 14, 50)(7, 43, 11, 47, 23, 59, 32, 68, 29, 65, 18, 54)(12, 48, 24, 60, 33, 69, 36, 72, 30, 66, 19, 55)(13, 49, 25, 61, 34, 70, 35, 71, 27, 63, 15, 51)(73, 109, 75, 111, 74, 110, 81, 117, 80, 116, 93, 129, 92, 128, 100, 136, 88, 124, 89, 125, 77, 113, 78, 114)(76, 112, 85, 121, 82, 118, 97, 133, 94, 130, 106, 142, 103, 139, 107, 143, 98, 134, 99, 135, 86, 122, 87, 123)(79, 115, 84, 120, 83, 119, 96, 132, 95, 131, 105, 141, 104, 140, 108, 144, 101, 137, 102, 138, 90, 126, 91, 127)
	L = (1, 76)(2, 82)(3, 84)(4, 79)(5, 86)(6, 91)(7, 73)(8, 94)(9, 96)(10, 83)(11, 74)(12, 85)(13, 75)(14, 90)(15, 78)(16, 98)(17, 102)(18, 77)(19, 87)(20, 103)(21, 105)(22, 95)(23, 80)(24, 97)(25, 81)(26, 101)(27, 89)(28, 108)(29, 88)(30, 99)(31, 104)(32, 92)(33, 106)(34, 93)(35, 100)(36, 107)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.414
Graph:: bipartite
	v = 9 e = 72 f = 9
	degree seq :: [ 12^6, 24^3 ]

E28.409 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2^2 * Y1, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (R * Y1^-1)^2, (Y3^-1, Y1^-1), R * Y3^-1 * Y2^-1 * R * Y2^-1, Y1^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 20, 56, 17, 53, 5, 41)(3, 39, 6, 42, 10, 46, 22, 58, 27, 63, 13, 49)(4, 40, 9, 45, 21, 57, 31, 67, 29, 65, 15, 51)(7, 43, 11, 47, 23, 59, 32, 68, 30, 66, 18, 54)(12, 48, 19, 55, 25, 61, 34, 70, 35, 71, 26, 62)(14, 50, 16, 52, 24, 60, 33, 69, 36, 72, 28, 64)(73, 109, 75, 111, 77, 113, 85, 121, 89, 125, 99, 135, 92, 128, 94, 130, 80, 116, 82, 118, 74, 110, 78, 114)(76, 112, 86, 122, 87, 123, 100, 136, 101, 137, 108, 144, 103, 139, 105, 141, 93, 129, 96, 132, 81, 117, 88, 124)(79, 115, 84, 120, 90, 126, 98, 134, 102, 138, 107, 143, 104, 140, 106, 142, 95, 131, 97, 133, 83, 119, 91, 127)
	L = (1, 76)(2, 81)(3, 84)(4, 79)(5, 87)(6, 91)(7, 73)(8, 93)(9, 83)(10, 97)(11, 74)(12, 86)(13, 98)(14, 75)(15, 90)(16, 78)(17, 101)(18, 77)(19, 88)(20, 103)(21, 95)(22, 106)(23, 80)(24, 82)(25, 96)(26, 100)(27, 107)(28, 85)(29, 102)(30, 89)(31, 104)(32, 92)(33, 94)(34, 105)(35, 108)(36, 99)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.413
Graph:: bipartite
	v = 9 e = 72 f = 9
	degree seq :: [ 12^6, 24^3 ]

E28.410 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3 * Y1, Y3^3, (R * Y1)^2, (Y3 * Y1^-1)^2, Y1 * Y2 * Y1 * Y2^-1, Y2^-1 * Y3^-1 * Y2 * Y3^-1, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y2^-2 * Y3^-1 * Y2^-3 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 7, 43, 10, 46, 4, 40, 5, 41)(3, 39, 11, 47, 14, 50, 20, 56, 13, 49, 8, 44)(6, 42, 16, 52, 15, 51, 21, 57, 17, 53, 9, 45)(12, 48, 19, 55, 26, 62, 32, 68, 25, 61, 23, 59)(18, 54, 22, 58, 29, 65, 33, 69, 27, 63, 28, 64)(24, 60, 35, 71, 34, 70, 30, 66, 36, 72, 31, 67)(73, 109, 75, 111, 84, 120, 96, 132, 105, 141, 93, 129, 82, 118, 92, 128, 104, 140, 102, 138, 90, 126, 78, 114)(74, 110, 80, 116, 91, 127, 103, 139, 99, 135, 87, 123, 76, 112, 86, 122, 97, 133, 106, 142, 94, 130, 81, 117)(77, 113, 83, 119, 95, 131, 107, 143, 101, 137, 89, 125, 79, 115, 85, 121, 98, 134, 108, 144, 100, 136, 88, 124)
	L = (1, 76)(2, 77)(3, 85)(4, 79)(5, 82)(6, 89)(7, 73)(8, 92)(9, 93)(10, 74)(11, 80)(12, 97)(13, 86)(14, 75)(15, 78)(16, 81)(17, 87)(18, 99)(19, 95)(20, 83)(21, 88)(22, 100)(23, 104)(24, 108)(25, 98)(26, 84)(27, 101)(28, 105)(29, 90)(30, 107)(31, 102)(32, 91)(33, 94)(34, 96)(35, 103)(36, 106)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 9 e = 72 f = 9
	degree seq :: [ 12^6, 24^3 ]

E28.411 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y3^-1, Y1^-1), Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1, Y2 * Y1 * Y3^-1 * Y2, Y3 * Y2^-2 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y1 * Y3 * Y2^-1 * Y1^-1 * Y2, (R * Y2 * Y3^-1)^2, Y1^6, (Y2^-1 * Y1)^4, Y1^-1 * Y3 * Y2^10 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 22, 58, 19, 55, 5, 41)(3, 39, 13, 49, 11, 47, 27, 63, 30, 66, 16, 52)(4, 40, 10, 46, 23, 59, 35, 71, 29, 65, 14, 50)(6, 42, 21, 57, 34, 70, 31, 67, 18, 54, 17, 53)(7, 43, 12, 48, 25, 61, 36, 72, 33, 69, 20, 56)(9, 45, 26, 62, 24, 60, 32, 68, 28, 64, 15, 51)(73, 109, 75, 111, 86, 122, 100, 136, 105, 141, 103, 139, 94, 130, 99, 135, 95, 131, 98, 134, 84, 120, 78, 114)(74, 110, 81, 117, 76, 112, 89, 125, 92, 128, 88, 124, 91, 127, 104, 140, 107, 143, 106, 142, 97, 133, 83, 119)(77, 113, 90, 126, 101, 137, 102, 138, 108, 144, 96, 132, 80, 116, 93, 129, 82, 118, 85, 121, 79, 115, 87, 123)
	L = (1, 76)(2, 82)(3, 87)(4, 79)(5, 86)(6, 85)(7, 73)(8, 95)(9, 78)(10, 84)(11, 98)(12, 74)(13, 81)(14, 92)(15, 89)(16, 100)(17, 75)(18, 88)(19, 101)(20, 77)(21, 83)(22, 107)(23, 97)(24, 106)(25, 80)(26, 93)(27, 96)(28, 90)(29, 105)(30, 104)(31, 102)(32, 103)(33, 91)(34, 99)(35, 108)(36, 94)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 9 e = 72 f = 9
	degree seq :: [ 12^6, 24^3 ]

E28.412 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^-1 * Y2^2 * Y3, Y2 * Y1^-1 * Y3 * Y2, Y2^-1 * Y3 * Y2^-1 * Y1, (R * Y3)^2, Y2 * Y3^-1 * Y2^-1 * Y3^-1, (R * Y1)^2, Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y1, Y2^-1 * R * Y3^-1 * Y2^-1 * R, Y1^6, (Y2^-1 * Y1^-1)^4, (Y3^-1 * Y1)^6, (Y3^-1 * Y1^-1)^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 22, 58, 18, 54, 5, 41)(3, 39, 13, 49, 28, 64, 33, 69, 19, 55, 15, 51)(4, 40, 10, 46, 24, 60, 35, 71, 29, 65, 16, 52)(6, 42, 14, 50, 9, 45, 26, 62, 34, 70, 21, 57)(7, 43, 12, 48, 25, 61, 36, 72, 32, 68, 20, 56)(11, 47, 27, 63, 23, 59, 31, 67, 30, 66, 17, 53)(73, 109, 75, 111, 84, 120, 99, 135, 96, 132, 98, 134, 94, 130, 105, 141, 104, 140, 102, 138, 88, 124, 78, 114)(74, 110, 81, 117, 97, 133, 100, 136, 107, 143, 103, 139, 90, 126, 93, 129, 92, 128, 87, 123, 76, 112, 83, 119)(77, 113, 89, 125, 79, 115, 86, 122, 82, 118, 85, 121, 80, 116, 95, 131, 108, 144, 106, 142, 101, 137, 91, 127)
	L = (1, 76)(2, 82)(3, 86)(4, 79)(5, 88)(6, 89)(7, 73)(8, 96)(9, 99)(10, 84)(11, 75)(12, 74)(13, 81)(14, 83)(15, 78)(16, 92)(17, 87)(18, 101)(19, 93)(20, 77)(21, 102)(22, 107)(23, 100)(24, 97)(25, 80)(26, 95)(27, 85)(28, 98)(29, 104)(30, 91)(31, 105)(32, 90)(33, 106)(34, 103)(35, 108)(36, 94)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 9 e = 72 f = 9
	degree seq :: [ 12^6, 24^3 ]

E28.413 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y1, Y3^-1), Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y3^-1 * Y2^-2 * Y1^-1, Y1^-1 * Y2^-1 * Y3 * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y3^-1 * Y2 * Y1^-1, Y1^6, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-1 * Y2^10 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 22, 58, 20, 56, 5, 41)(3, 39, 13, 49, 11, 47, 27, 63, 30, 66, 16, 52)(4, 40, 10, 46, 23, 59, 35, 71, 31, 67, 18, 54)(6, 42, 21, 57, 34, 70, 32, 68, 19, 55, 15, 51)(7, 43, 12, 48, 25, 61, 36, 72, 29, 65, 14, 50)(9, 45, 26, 62, 24, 60, 33, 69, 28, 64, 17, 53)(73, 109, 75, 111, 86, 122, 100, 136, 103, 139, 104, 140, 94, 130, 99, 135, 97, 133, 98, 134, 82, 118, 78, 114)(74, 110, 81, 117, 79, 115, 87, 123, 90, 126, 88, 124, 92, 128, 105, 141, 108, 144, 106, 142, 95, 131, 83, 119)(76, 112, 89, 125, 77, 113, 91, 127, 101, 137, 102, 138, 107, 143, 96, 132, 80, 116, 93, 129, 84, 120, 85, 121)
	L = (1, 76)(2, 82)(3, 87)(4, 79)(5, 90)(6, 81)(7, 73)(8, 95)(9, 85)(10, 84)(11, 93)(12, 74)(13, 78)(14, 77)(15, 89)(16, 91)(17, 75)(18, 86)(19, 100)(20, 103)(21, 98)(22, 107)(23, 97)(24, 99)(25, 80)(26, 83)(27, 106)(28, 88)(29, 92)(30, 104)(31, 101)(32, 105)(33, 102)(34, 96)(35, 108)(36, 94)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.409
Graph:: bipartite
	v = 9 e = 72 f = 9
	degree seq :: [ 12^6, 24^3 ]

E28.414 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2 * Y3 * Y2 * Y1^-1, (R * Y3)^2, Y2^-1 * Y3^-1 * Y2 * Y3^-1, Y2^-1 * Y3 * Y1 * Y2^-1, (R * Y1)^2, (Y3^-1, Y1), Y2 * Y3^-1 * Y1 * Y2^-1 * Y1^-1, Y2 * Y1^-1 * R * Y2^-1 * R, Y1^6, (Y2^-1 * Y1^-1)^4, Y3 * Y1 * Y2^10 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 22, 58, 18, 54, 5, 41)(3, 39, 13, 49, 28, 64, 33, 69, 19, 55, 14, 50)(4, 40, 10, 46, 24, 60, 35, 71, 29, 65, 16, 52)(6, 42, 15, 51, 9, 45, 26, 62, 34, 70, 21, 57)(7, 43, 12, 48, 25, 61, 36, 72, 32, 68, 20, 56)(11, 47, 27, 63, 23, 59, 31, 67, 30, 66, 17, 53)(73, 109, 75, 111, 82, 118, 99, 135, 97, 133, 98, 134, 94, 130, 105, 141, 101, 137, 102, 138, 92, 128, 78, 114)(74, 110, 81, 117, 96, 132, 100, 136, 108, 144, 103, 139, 90, 126, 93, 129, 88, 124, 86, 122, 79, 115, 83, 119)(76, 112, 87, 123, 84, 120, 85, 121, 80, 116, 95, 131, 107, 143, 106, 142, 104, 140, 91, 127, 77, 113, 89, 125)
	L = (1, 76)(2, 82)(3, 83)(4, 79)(5, 88)(6, 86)(7, 73)(8, 96)(9, 85)(10, 84)(11, 87)(12, 74)(13, 99)(14, 89)(15, 75)(16, 92)(17, 78)(18, 101)(19, 102)(20, 77)(21, 91)(22, 107)(23, 98)(24, 97)(25, 80)(26, 100)(27, 81)(28, 95)(29, 104)(30, 93)(31, 106)(32, 90)(33, 103)(34, 105)(35, 108)(36, 94)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.408
Graph:: bipartite
	v = 9 e = 72 f = 9
	degree seq :: [ 12^6, 24^3 ]

E28.415 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y3^-1, Y1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y2 * Y1, (Y2^-1, Y3), Y3 * Y2^4, Y1^-1 * Y3 * Y2^-2 * Y1^-2, Y2 * Y1^-2 * Y3^-1 * Y2 * Y1, Y3^-1 * Y1^-2 * Y2^2 * Y1^-1, Y2^2 * Y1 * Y3 * Y1 * Y3 * Y1, Y1 * Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 24, 60, 19, 55, 5, 41)(3, 39, 13, 49, 32, 68, 18, 54, 25, 61, 9, 45)(4, 40, 10, 46, 26, 62, 14, 50, 29, 65, 17, 53)(6, 42, 20, 56, 31, 67, 16, 52, 27, 63, 11, 47)(7, 43, 12, 48, 28, 64, 22, 58, 33, 69, 21, 57)(15, 51, 35, 71, 34, 70, 23, 59, 36, 72, 30, 66)(73, 109, 75, 111, 86, 122, 95, 131, 79, 115, 88, 124, 96, 132, 90, 126, 76, 112, 87, 123, 94, 130, 78, 114)(74, 110, 81, 117, 101, 137, 106, 142, 84, 120, 103, 139, 91, 127, 104, 140, 82, 118, 102, 138, 105, 141, 83, 119)(77, 113, 85, 121, 98, 134, 108, 144, 93, 129, 99, 135, 80, 116, 97, 133, 89, 125, 107, 143, 100, 136, 92, 128)
	L = (1, 76)(2, 82)(3, 87)(4, 79)(5, 89)(6, 90)(7, 73)(8, 98)(9, 102)(10, 84)(11, 104)(12, 74)(13, 107)(14, 94)(15, 88)(16, 75)(17, 93)(18, 95)(19, 101)(20, 97)(21, 77)(22, 96)(23, 78)(24, 86)(25, 108)(26, 100)(27, 85)(28, 80)(29, 105)(30, 103)(31, 81)(32, 106)(33, 91)(34, 83)(35, 99)(36, 92)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.416
Graph:: bipartite
	v = 9 e = 72 f = 9
	degree seq :: [ 12^6, 24^3 ]

E28.416 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y1, Y3), (Y3^-1, Y2^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3^-1 * Y2^-4, Y3^-1 * Y2 * Y1 * Y2^-1 * Y1, Y1 * Y2 * Y1^-1 * Y2 * Y1, Y2 * Y3 * Y1^-1 * Y2^-1 * Y1^-1, Y1^-1 * Y3^-1 * Y1^-2 * Y2^2, Y1^-1 * Y3^-1 * Y2^2 * Y1^-2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 28, 64, 21, 57, 5, 41)(3, 39, 13, 49, 11, 47, 19, 55, 36, 72, 16, 52)(4, 40, 10, 46, 29, 65, 14, 50, 32, 68, 18, 54)(6, 42, 24, 60, 33, 69, 17, 53, 20, 56, 25, 61)(7, 43, 12, 48, 31, 67, 26, 62, 35, 71, 23, 59)(9, 45, 15, 51, 30, 66, 34, 70, 27, 63, 22, 58)(73, 109, 75, 111, 86, 122, 99, 135, 79, 115, 89, 125, 100, 136, 91, 127, 76, 112, 87, 123, 98, 134, 78, 114)(74, 110, 81, 117, 104, 140, 97, 133, 84, 120, 88, 124, 93, 129, 106, 142, 82, 118, 105, 141, 107, 143, 83, 119)(77, 113, 92, 128, 101, 137, 108, 144, 95, 131, 102, 138, 80, 116, 96, 132, 90, 126, 85, 121, 103, 139, 94, 130)
	L = (1, 76)(2, 82)(3, 87)(4, 79)(5, 90)(6, 91)(7, 73)(8, 101)(9, 105)(10, 84)(11, 106)(12, 74)(13, 102)(14, 98)(15, 89)(16, 81)(17, 75)(18, 95)(19, 99)(20, 85)(21, 104)(22, 96)(23, 77)(24, 108)(25, 83)(26, 100)(27, 78)(28, 86)(29, 103)(30, 92)(31, 80)(32, 107)(33, 88)(34, 97)(35, 93)(36, 94)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.415
Graph:: bipartite
	v = 9 e = 72 f = 9
	degree seq :: [ 12^6, 24^3 ]

E28.417 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y2, Y3^-1), (R * Y3)^2, (R * Y2)^2, (Y1, Y3^-1), (R * Y1)^2, Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1, Y2^4 * Y3, Y1^-1 * Y3^-1 * Y2 * Y1^-1 * Y2^-1, Y1^-6, Y1^-1 * Y3 * Y2^-2 * Y1^-2, Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 28, 64, 21, 57, 5, 41)(3, 39, 13, 49, 35, 71, 19, 55, 22, 58, 16, 52)(4, 40, 10, 46, 30, 66, 14, 50, 32, 68, 18, 54)(6, 42, 24, 60, 9, 45, 17, 53, 36, 72, 25, 61)(7, 43, 12, 48, 31, 67, 26, 62, 34, 70, 23, 59)(11, 47, 27, 63, 29, 65, 33, 69, 15, 51, 20, 56)(73, 109, 75, 111, 86, 122, 99, 135, 79, 115, 89, 125, 100, 136, 91, 127, 76, 112, 87, 123, 98, 134, 78, 114)(74, 110, 81, 117, 104, 140, 107, 143, 84, 120, 105, 141, 93, 129, 97, 133, 82, 118, 88, 124, 106, 142, 83, 119)(77, 113, 92, 128, 102, 138, 96, 132, 95, 131, 85, 121, 80, 116, 101, 137, 90, 126, 108, 144, 103, 139, 94, 130)
	L = (1, 76)(2, 82)(3, 87)(4, 79)(5, 90)(6, 91)(7, 73)(8, 102)(9, 88)(10, 84)(11, 97)(12, 74)(13, 92)(14, 98)(15, 89)(16, 105)(17, 75)(18, 95)(19, 99)(20, 108)(21, 104)(22, 101)(23, 77)(24, 94)(25, 107)(26, 100)(27, 78)(28, 86)(29, 96)(30, 103)(31, 80)(32, 106)(33, 81)(34, 93)(35, 83)(36, 85)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 9 e = 72 f = 9
	degree seq :: [ 12^6, 24^3 ]

E28.418 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1, Y3^3, (Y1, Y3), (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (R * Y2 * Y3^-1)^2, Y1^6, Y3 * Y1^2 * Y2 * Y3 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 24, 60, 17, 53, 5, 41)(3, 39, 9, 45, 25, 61, 33, 69, 18, 54, 6, 42)(4, 40, 10, 46, 26, 62, 36, 72, 31, 67, 15, 51)(7, 43, 11, 47, 27, 63, 30, 66, 34, 70, 19, 55)(12, 48, 28, 64, 32, 68, 23, 59, 22, 58, 20, 56)(13, 49, 16, 52, 14, 50, 29, 65, 35, 71, 21, 57)(73, 109, 75, 111, 74, 110, 81, 117, 80, 116, 97, 133, 96, 132, 105, 141, 89, 125, 90, 126, 77, 113, 78, 114)(76, 112, 86, 122, 82, 118, 101, 137, 98, 134, 107, 143, 108, 144, 93, 129, 103, 139, 85, 121, 87, 123, 88, 124)(79, 115, 94, 130, 83, 119, 92, 128, 99, 135, 84, 120, 102, 138, 100, 136, 106, 142, 104, 140, 91, 127, 95, 131)
	L = (1, 76)(2, 82)(3, 84)(4, 79)(5, 87)(6, 92)(7, 73)(8, 98)(9, 100)(10, 83)(11, 74)(12, 85)(13, 75)(14, 97)(15, 91)(16, 81)(17, 103)(18, 94)(19, 77)(20, 93)(21, 78)(22, 107)(23, 101)(24, 108)(25, 104)(26, 99)(27, 80)(28, 88)(29, 105)(30, 96)(31, 106)(32, 86)(33, 95)(34, 89)(35, 90)(36, 102)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.424
Graph:: bipartite
	v = 9 e = 72 f = 9
	degree seq :: [ 12^6, 24^3 ]

E28.419 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1, Y3^3, (Y1^-1, Y3), (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y1)^2, Y3 * Y1 * Y2^-1 * Y3 * Y2^-1, (R * Y2 * Y3^-1)^2, Y1^6, Y1 * Y3^-1 * Y1^2 * Y2^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 24, 60, 18, 54, 5, 41)(3, 39, 6, 42, 10, 46, 26, 62, 33, 69, 13, 49)(4, 40, 9, 45, 25, 61, 36, 72, 35, 71, 16, 52)(7, 43, 11, 47, 27, 63, 30, 66, 32, 68, 19, 55)(12, 48, 20, 56, 22, 58, 23, 59, 29, 65, 31, 67)(14, 50, 21, 57, 28, 64, 34, 70, 15, 51, 17, 53)(73, 109, 75, 111, 77, 113, 85, 121, 90, 126, 105, 141, 96, 132, 98, 134, 80, 116, 82, 118, 74, 110, 78, 114)(76, 112, 87, 123, 88, 124, 106, 142, 107, 143, 100, 136, 108, 144, 93, 129, 97, 133, 86, 122, 81, 117, 89, 125)(79, 115, 94, 130, 91, 127, 92, 128, 104, 140, 84, 120, 102, 138, 103, 139, 99, 135, 101, 137, 83, 119, 95, 131)
	L = (1, 76)(2, 81)(3, 84)(4, 79)(5, 88)(6, 92)(7, 73)(8, 97)(9, 83)(10, 94)(11, 74)(12, 86)(13, 103)(14, 75)(15, 105)(16, 91)(17, 85)(18, 107)(19, 77)(20, 93)(21, 78)(22, 100)(23, 106)(24, 108)(25, 99)(26, 95)(27, 80)(28, 82)(29, 87)(30, 96)(31, 89)(32, 90)(33, 101)(34, 98)(35, 104)(36, 102)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.421
Graph:: bipartite
	v = 9 e = 72 f = 9
	degree seq :: [ 12^6, 24^3 ]

E28.420 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y1, Y3^-1), (R * Y1)^2, Y3^-1 * Y2^2 * Y1, Y2 * Y1 * Y2^-1 * Y1, Y2 * Y1^-1 * Y2 * Y3^-1, (R * Y3)^2, Y3 * Y2^-2 * Y1^-1, Y1^6, Y1^-2 * R * Y2^-1 * R * Y2^-1, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^4 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 22, 58, 17, 53, 5, 41)(3, 39, 13, 49, 29, 65, 36, 72, 23, 59, 9, 45)(4, 40, 10, 46, 24, 60, 35, 71, 30, 66, 14, 50)(6, 42, 18, 54, 33, 69, 32, 68, 25, 61, 11, 47)(7, 43, 12, 48, 26, 62, 31, 67, 34, 70, 19, 55)(15, 51, 20, 56, 28, 64, 21, 57, 16, 52, 27, 63)(73, 109, 75, 111, 86, 122, 99, 135, 106, 142, 104, 140, 94, 130, 108, 144, 96, 132, 100, 136, 84, 120, 78, 114)(74, 110, 81, 117, 76, 112, 88, 124, 91, 127, 105, 141, 89, 125, 101, 137, 107, 143, 92, 128, 98, 134, 83, 119)(77, 113, 85, 121, 102, 138, 87, 123, 103, 139, 97, 133, 80, 116, 95, 131, 82, 118, 93, 129, 79, 115, 90, 126)
	L = (1, 76)(2, 82)(3, 87)(4, 79)(5, 86)(6, 85)(7, 73)(8, 96)(9, 99)(10, 84)(11, 75)(12, 74)(13, 92)(14, 91)(15, 83)(16, 104)(17, 102)(18, 101)(19, 77)(20, 78)(21, 105)(22, 107)(23, 88)(24, 98)(25, 81)(26, 80)(27, 97)(28, 90)(29, 100)(30, 106)(31, 94)(32, 95)(33, 108)(34, 89)(35, 103)(36, 93)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.422
Graph:: bipartite
	v = 9 e = 72 f = 9
	degree seq :: [ 12^6, 24^3 ]

E28.421 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y3 * Y1 * Y2^-2, (Y3^-1, Y1), Y2^-1 * Y1 * Y2 * Y1, (R * Y1)^2, Y1 * Y2 * Y3^-1 * Y2, (R * Y3)^2, Y2 * Y3 * Y1^-1 * Y3 * Y2, (R * Y2 * Y3^-1)^2, Y1^6, (Y3 * Y2)^4, Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1, Y2^12 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 22, 58, 18, 54, 5, 41)(3, 39, 13, 49, 29, 65, 36, 72, 23, 59, 9, 45)(4, 40, 10, 46, 24, 60, 35, 71, 34, 70, 17, 53)(6, 42, 15, 51, 30, 66, 33, 69, 25, 61, 11, 47)(7, 43, 12, 48, 26, 62, 31, 67, 32, 68, 19, 55)(14, 50, 27, 63, 16, 52, 21, 57, 28, 64, 20, 56)(73, 109, 75, 111, 82, 118, 99, 135, 98, 134, 105, 141, 94, 130, 108, 144, 106, 142, 100, 136, 91, 127, 78, 114)(74, 110, 81, 117, 96, 132, 86, 122, 103, 139, 102, 138, 90, 126, 101, 137, 89, 125, 93, 129, 79, 115, 83, 119)(76, 112, 88, 124, 84, 120, 97, 133, 80, 116, 95, 131, 107, 143, 92, 128, 104, 140, 87, 123, 77, 113, 85, 121)
	L = (1, 76)(2, 82)(3, 86)(4, 79)(5, 89)(6, 81)(7, 73)(8, 96)(9, 92)(10, 84)(11, 95)(12, 74)(13, 99)(14, 87)(15, 75)(16, 105)(17, 91)(18, 106)(19, 77)(20, 78)(21, 97)(22, 107)(23, 100)(24, 98)(25, 108)(26, 80)(27, 102)(28, 83)(29, 88)(30, 85)(31, 94)(32, 90)(33, 101)(34, 104)(35, 103)(36, 93)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.419
Graph:: bipartite
	v = 9 e = 72 f = 9
	degree seq :: [ 12^6, 24^3 ]

E28.422 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y1^-1, Y3^-1), Y1 * Y2^-2 * Y3^-1, (R * Y1)^2, Y1^-1 * Y2^2 * Y3, (R * Y3)^2, R * Y2 * Y1 * R * Y2^-1, Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1, Y1^6, Y1^-1 * Y3 * Y1^-2 * Y2 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 26, 62, 20, 56, 5, 41)(3, 39, 13, 49, 11, 47, 30, 66, 25, 61, 15, 51)(4, 40, 10, 46, 27, 63, 35, 71, 33, 69, 17, 53)(6, 42, 14, 50, 18, 54, 31, 67, 19, 55, 24, 60)(7, 43, 12, 48, 28, 64, 34, 70, 36, 72, 22, 58)(9, 45, 29, 65, 23, 59, 16, 52, 32, 68, 21, 57)(73, 109, 75, 111, 84, 120, 104, 140, 99, 135, 103, 139, 98, 134, 102, 138, 108, 144, 101, 137, 89, 125, 78, 114)(74, 110, 81, 117, 100, 136, 96, 132, 107, 143, 87, 123, 92, 128, 88, 124, 94, 130, 90, 126, 76, 112, 83, 119)(77, 113, 91, 127, 79, 115, 97, 133, 82, 118, 95, 131, 80, 116, 86, 122, 106, 142, 85, 121, 105, 141, 93, 129)
	L = (1, 76)(2, 82)(3, 86)(4, 79)(5, 89)(6, 95)(7, 73)(8, 99)(9, 102)(10, 84)(11, 103)(12, 74)(13, 90)(14, 88)(15, 78)(16, 75)(17, 94)(18, 104)(19, 81)(20, 105)(21, 83)(22, 77)(23, 87)(24, 101)(25, 96)(26, 107)(27, 100)(28, 80)(29, 97)(30, 91)(31, 93)(32, 85)(33, 108)(34, 98)(35, 106)(36, 92)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.420
Graph:: bipartite
	v = 9 e = 72 f = 9
	degree seq :: [ 12^6, 24^3 ]

E28.423 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^2, Y3^3, Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, Y2 * Y3^-1 * Y2^-3 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2 * Y3^-1 * Y2^9 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 7, 43, 10, 46, 4, 40, 5, 41)(3, 39, 11, 47, 15, 51, 28, 64, 13, 49, 14, 50)(6, 42, 19, 55, 8, 44, 23, 59, 20, 56, 16, 52)(9, 45, 25, 61, 22, 58, 17, 53, 26, 62, 18, 54)(12, 48, 24, 60, 32, 68, 36, 72, 30, 66, 31, 67)(21, 57, 27, 63, 29, 65, 35, 71, 34, 70, 33, 69)(73, 109, 75, 111, 84, 120, 97, 133, 107, 143, 95, 131, 82, 118, 100, 136, 108, 144, 98, 134, 93, 129, 78, 114)(74, 110, 80, 116, 96, 132, 87, 123, 106, 142, 89, 125, 76, 112, 88, 124, 102, 138, 86, 122, 99, 135, 81, 117)(77, 113, 90, 126, 103, 139, 91, 127, 101, 137, 83, 119, 79, 115, 94, 130, 104, 140, 92, 128, 105, 141, 85, 121)
	L = (1, 76)(2, 77)(3, 85)(4, 79)(5, 82)(6, 92)(7, 73)(8, 78)(9, 98)(10, 74)(11, 86)(12, 102)(13, 87)(14, 100)(15, 75)(16, 95)(17, 97)(18, 89)(19, 88)(20, 80)(21, 106)(22, 81)(23, 91)(24, 103)(25, 90)(26, 94)(27, 105)(28, 83)(29, 93)(30, 104)(31, 108)(32, 84)(33, 107)(34, 101)(35, 99)(36, 96)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 9 e = 72 f = 9
	degree seq :: [ 12^6, 24^3 ]

E28.424 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1 * Y2^2 * Y3, Y2^2 * Y1 * Y3, (Y3^-1, Y1), (R * Y1)^2, (R * Y3)^2, Y2 * Y1^-1 * R * Y2^-1 * R, Y3^-1 * Y1 * Y2^-1 * Y3 * Y2^-1, Y2 * Y3^-1 * Y1^-2 * Y2 * Y1^-1, Y1^6, Y2^-1 * Y3^-1 * Y2^5 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 26, 62, 22, 58, 5, 41)(3, 39, 13, 49, 25, 61, 30, 66, 18, 54, 16, 52)(4, 40, 10, 46, 27, 63, 33, 69, 36, 72, 19, 55)(6, 42, 23, 59, 9, 45, 29, 65, 20, 56, 15, 51)(7, 43, 12, 48, 28, 64, 35, 71, 34, 70, 14, 50)(11, 47, 32, 68, 17, 53, 24, 60, 31, 67, 21, 57)(73, 109, 75, 111, 86, 122, 104, 140, 108, 144, 101, 137, 98, 134, 102, 138, 100, 136, 103, 139, 82, 118, 78, 114)(74, 110, 81, 117, 79, 115, 97, 133, 91, 127, 96, 132, 94, 130, 87, 123, 107, 143, 88, 124, 99, 135, 83, 119)(76, 112, 90, 126, 77, 113, 93, 129, 106, 142, 95, 131, 105, 141, 85, 121, 80, 116, 89, 125, 84, 120, 92, 128)
	L = (1, 76)(2, 82)(3, 87)(4, 79)(5, 91)(6, 96)(7, 73)(8, 99)(9, 93)(10, 84)(11, 90)(12, 74)(13, 78)(14, 77)(15, 89)(16, 92)(17, 75)(18, 101)(19, 86)(20, 104)(21, 102)(22, 108)(23, 103)(24, 85)(25, 95)(26, 105)(27, 100)(28, 80)(29, 83)(30, 81)(31, 97)(32, 88)(33, 107)(34, 94)(35, 98)(36, 106)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.418
Graph:: bipartite
	v = 9 e = 72 f = 9
	degree seq :: [ 12^6, 24^3 ]

E28.425 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-3, (Y3^-1, Y2^-1), Y3 * Y1^2 * Y2^-1, Y1^-2 * Y2^-2, (R * Y3)^2, Y2 * Y3^-1 * Y1^-2, (R * Y2)^2, Y3^4, (R * Y1)^2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y3 * Y1^-1, Y2 * Y3 * Y1 * Y2^-1 * Y3^-1 * Y1^-1, Y2^-1 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-1, (Y3 * Y1^-1)^3, Y3^-1 * Y1^6 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 23, 59, 21, 57, 31, 67, 17, 53, 28, 64, 15, 51, 26, 62, 14, 50, 5, 41)(3, 39, 13, 49, 6, 42, 20, 56, 7, 43, 22, 58, 24, 60, 36, 72, 33, 69, 18, 54, 4, 40, 16, 52)(9, 45, 25, 61, 11, 47, 30, 66, 12, 48, 32, 68, 35, 71, 34, 70, 19, 55, 29, 65, 10, 46, 27, 63)(73, 109, 75, 111, 86, 122, 76, 112, 87, 123, 105, 141, 89, 125, 96, 132, 93, 129, 79, 115, 80, 116, 78, 114)(74, 110, 81, 117, 77, 113, 82, 118, 98, 134, 91, 127, 100, 136, 107, 143, 103, 139, 84, 120, 95, 131, 83, 119)(85, 121, 99, 135, 88, 124, 101, 137, 90, 126, 106, 142, 108, 144, 104, 140, 94, 130, 102, 138, 92, 128, 97, 133)
	L = (1, 76)(2, 82)(3, 87)(4, 89)(5, 91)(6, 86)(7, 73)(8, 75)(9, 98)(10, 100)(11, 77)(12, 74)(13, 101)(14, 105)(15, 96)(16, 106)(17, 79)(18, 104)(19, 103)(20, 99)(21, 78)(22, 97)(23, 81)(24, 80)(25, 88)(26, 107)(27, 90)(28, 84)(29, 108)(30, 85)(31, 83)(32, 92)(33, 93)(34, 94)(35, 95)(36, 102)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12^24 ) }
Outer automorphisms :: reflexible
Dual of E28.404
Graph:: bipartite
	v = 6 e = 72 f = 12
	degree seq :: [ 24^6 ]

E28.426 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C3 (small group id <36, 8>)
Aut   = (C12 x C3) : C2 (small group id <72, 33>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^2, (Y2^-1, Y1^-1), (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1^-3 * Y2^-3, Y1^-1 * Y2^3 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 22, 58, 17, 53, 5, 41)(3, 39, 9, 45, 23, 59, 20, 56, 29, 65, 15, 51)(4, 40, 10, 46, 24, 60, 36, 72, 33, 69, 16, 52)(6, 42, 11, 47, 25, 61, 13, 49, 27, 63, 18, 54)(7, 43, 12, 48, 26, 62, 31, 67, 34, 70, 19, 55)(14, 50, 28, 64, 35, 71, 21, 57, 30, 66, 32, 68)(73, 109, 75, 111, 85, 121, 94, 130, 92, 128, 78, 114)(74, 110, 81, 117, 99, 135, 89, 125, 101, 137, 83, 119)(76, 112, 86, 122, 103, 139, 108, 144, 93, 129, 79, 115)(77, 113, 87, 123, 97, 133, 80, 116, 95, 131, 90, 126)(82, 118, 100, 136, 106, 142, 105, 141, 102, 138, 84, 120)(88, 124, 104, 140, 98, 134, 96, 132, 107, 143, 91, 127)
	L = (1, 76)(2, 82)(3, 86)(4, 75)(5, 88)(6, 79)(7, 73)(8, 96)(9, 100)(10, 81)(11, 84)(12, 74)(13, 103)(14, 85)(15, 104)(16, 87)(17, 105)(18, 91)(19, 77)(20, 93)(21, 78)(22, 108)(23, 107)(24, 95)(25, 98)(26, 80)(27, 106)(28, 99)(29, 102)(30, 83)(31, 94)(32, 97)(33, 101)(34, 89)(35, 90)(36, 92)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E28.436
Graph:: bipartite
	v = 12 e = 72 f = 6
	degree seq :: [ 12^12 ]

E28.427 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C3 (small group id <36, 8>)
Aut   = (C12 x C3) : C2 (small group id <72, 33>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), Y1^-6, (R * Y2 * Y3^-1)^2, Y1^6, Y2^6 * Y1^3, (Y3^-1 * Y1^-1)^6, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 37, 2, 38, 6, 42, 14, 50, 11, 47, 4, 40)(3, 39, 7, 43, 15, 51, 25, 61, 21, 57, 10, 46)(5, 41, 8, 44, 16, 52, 26, 62, 22, 58, 12, 48)(9, 45, 17, 53, 27, 63, 36, 72, 33, 69, 20, 56)(13, 49, 18, 54, 28, 64, 31, 67, 34, 70, 23, 59)(19, 55, 29, 65, 35, 71, 24, 60, 30, 66, 32, 68)(73, 109, 75, 111, 81, 117, 91, 127, 103, 139, 98, 134, 86, 122, 97, 133, 108, 144, 96, 132, 85, 121, 77, 113)(74, 110, 79, 115, 89, 125, 101, 137, 106, 142, 94, 130, 83, 119, 93, 129, 105, 141, 102, 138, 90, 126, 80, 116)(76, 112, 82, 118, 92, 128, 104, 140, 100, 136, 88, 124, 78, 114, 87, 123, 99, 135, 107, 143, 95, 131, 84, 120)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 9 e = 72 f = 9
	degree seq :: [ 12^6, 24^3 ]

E28.428 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C3 (small group id <36, 8>)
Aut   = (C12 x C3) : C2 (small group id <72, 33>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y1, Y2^-1), (Y3^-1, Y1^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y2^-1), Y3 * Y2^4, Y1^6, Y1^-1 * Y3^-1 * Y1^-2 * Y2^2, Y1^-1 * Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y1^-1, Y1^-1 * Y3 * Y2 * Y1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 24, 60, 19, 55, 5, 41)(3, 39, 9, 45, 25, 61, 18, 54, 32, 68, 15, 51)(4, 40, 10, 46, 26, 62, 13, 49, 29, 65, 17, 53)(6, 42, 11, 47, 27, 63, 16, 52, 31, 67, 20, 56)(7, 43, 12, 48, 28, 64, 22, 58, 33, 69, 21, 57)(14, 50, 30, 66, 36, 72, 23, 59, 34, 70, 35, 71)(73, 109, 75, 111, 85, 121, 95, 131, 79, 115, 88, 124, 96, 132, 90, 126, 76, 112, 86, 122, 94, 130, 78, 114)(74, 110, 81, 117, 101, 137, 106, 142, 84, 120, 103, 139, 91, 127, 104, 140, 82, 118, 102, 138, 105, 141, 83, 119)(77, 113, 87, 123, 98, 134, 108, 144, 93, 129, 99, 135, 80, 116, 97, 133, 89, 125, 107, 143, 100, 136, 92, 128)
	L = (1, 76)(2, 82)(3, 86)(4, 79)(5, 89)(6, 90)(7, 73)(8, 98)(9, 102)(10, 84)(11, 104)(12, 74)(13, 94)(14, 88)(15, 107)(16, 75)(17, 93)(18, 95)(19, 101)(20, 97)(21, 77)(22, 96)(23, 78)(24, 85)(25, 108)(26, 100)(27, 87)(28, 80)(29, 105)(30, 103)(31, 81)(32, 106)(33, 91)(34, 83)(35, 99)(36, 92)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 9 e = 72 f = 9
	degree seq :: [ 12^6, 24^3 ]

E28.429 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C3 (small group id <36, 8>)
Aut   = (C12 x C3) : C2 (small group id <72, 33>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^2, Y3^3, (Y3, Y1), (Y3, Y2^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1^-6, Y1^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 20, 56, 16, 52, 5, 41)(3, 39, 9, 45, 21, 57, 28, 64, 17, 53, 6, 42)(4, 40, 10, 46, 22, 58, 31, 67, 26, 62, 14, 50)(7, 43, 11, 47, 23, 59, 32, 68, 29, 65, 18, 54)(12, 48, 24, 60, 33, 69, 35, 71, 27, 63, 15, 51)(13, 49, 25, 61, 34, 70, 36, 72, 30, 66, 19, 55)(73, 109, 75, 111, 74, 110, 81, 117, 80, 116, 93, 129, 92, 128, 100, 136, 88, 124, 89, 125, 77, 113, 78, 114)(76, 112, 84, 120, 82, 118, 96, 132, 94, 130, 105, 141, 103, 139, 107, 143, 98, 134, 99, 135, 86, 122, 87, 123)(79, 115, 85, 121, 83, 119, 97, 133, 95, 131, 106, 142, 104, 140, 108, 144, 101, 137, 102, 138, 90, 126, 91, 127)
	L = (1, 76)(2, 82)(3, 84)(4, 79)(5, 86)(6, 87)(7, 73)(8, 94)(9, 96)(10, 83)(11, 74)(12, 85)(13, 75)(14, 90)(15, 91)(16, 98)(17, 99)(18, 77)(19, 78)(20, 103)(21, 105)(22, 95)(23, 80)(24, 97)(25, 81)(26, 101)(27, 102)(28, 107)(29, 88)(30, 89)(31, 104)(32, 92)(33, 106)(34, 93)(35, 108)(36, 100)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 9 e = 72 f = 9
	degree seq :: [ 12^6, 24^3 ]

E28.430 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C3 (small group id <36, 8>)
Aut   = (C12 x C3) : C2 (small group id <72, 33>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1 * Y2, Y3^3, (Y3, Y2^-1), (R * Y3)^2, (Y3, Y1^-1), (R * Y1)^2, (R * Y2)^2, Y1^6, Y1^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 20, 56, 17, 53, 5, 41)(3, 39, 6, 42, 10, 46, 22, 58, 27, 63, 13, 49)(4, 40, 9, 45, 21, 57, 31, 67, 29, 65, 15, 51)(7, 43, 11, 47, 23, 59, 32, 68, 30, 66, 18, 54)(12, 48, 16, 52, 24, 60, 33, 69, 35, 71, 26, 62)(14, 50, 19, 55, 25, 61, 34, 70, 36, 72, 28, 64)(73, 109, 75, 111, 77, 113, 85, 121, 89, 125, 99, 135, 92, 128, 94, 130, 80, 116, 82, 118, 74, 110, 78, 114)(76, 112, 84, 120, 87, 123, 98, 134, 101, 137, 107, 143, 103, 139, 105, 141, 93, 129, 96, 132, 81, 117, 88, 124)(79, 115, 86, 122, 90, 126, 100, 136, 102, 138, 108, 144, 104, 140, 106, 142, 95, 131, 97, 133, 83, 119, 91, 127)
	L = (1, 76)(2, 81)(3, 84)(4, 79)(5, 87)(6, 88)(7, 73)(8, 93)(9, 83)(10, 96)(11, 74)(12, 86)(13, 98)(14, 75)(15, 90)(16, 91)(17, 101)(18, 77)(19, 78)(20, 103)(21, 95)(22, 105)(23, 80)(24, 97)(25, 82)(26, 100)(27, 107)(28, 85)(29, 102)(30, 89)(31, 104)(32, 92)(33, 106)(34, 94)(35, 108)(36, 99)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.433
Graph:: bipartite
	v = 9 e = 72 f = 9
	degree seq :: [ 12^6, 24^3 ]

E28.431 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C3 (small group id <36, 8>)
Aut   = (C12 x C3) : C2 (small group id <72, 33>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3 * Y1, Y3^3, (Y3^-1 * Y1)^2, (Y2^-1, Y3^-1), (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (Y1^-1, Y2^-1), (R * Y2)^2, Y2^-3 * Y1^-1 * Y3 * Y2^-3 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 7, 43, 10, 46, 4, 40, 5, 41)(3, 39, 8, 44, 14, 50, 20, 56, 12, 48, 13, 49)(6, 42, 9, 45, 18, 54, 22, 58, 15, 51, 16, 52)(11, 47, 19, 55, 26, 62, 32, 68, 24, 60, 25, 61)(17, 53, 21, 57, 30, 66, 34, 70, 27, 63, 28, 64)(23, 59, 31, 67, 36, 72, 29, 65, 33, 69, 35, 71)(73, 109, 75, 111, 83, 119, 95, 131, 106, 142, 94, 130, 82, 118, 92, 128, 104, 140, 101, 137, 89, 125, 78, 114)(74, 110, 80, 116, 91, 127, 103, 139, 99, 135, 87, 123, 76, 112, 84, 120, 96, 132, 105, 141, 93, 129, 81, 117)(77, 113, 85, 121, 97, 133, 107, 143, 102, 138, 90, 126, 79, 115, 86, 122, 98, 134, 108, 144, 100, 136, 88, 124)
	L = (1, 76)(2, 77)(3, 84)(4, 79)(5, 82)(6, 87)(7, 73)(8, 85)(9, 88)(10, 74)(11, 96)(12, 86)(13, 92)(14, 75)(15, 90)(16, 94)(17, 99)(18, 78)(19, 97)(20, 80)(21, 100)(22, 81)(23, 105)(24, 98)(25, 104)(26, 83)(27, 102)(28, 106)(29, 103)(30, 89)(31, 107)(32, 91)(33, 108)(34, 93)(35, 101)(36, 95)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 9 e = 72 f = 9
	degree seq :: [ 12^6, 24^3 ]

E28.432 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C3 (small group id <36, 8>)
Aut   = (C12 x C3) : C2 (small group id <72, 33>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y2, Y3), Y2^2 * Y3^-1 * Y1^-1, Y1 * Y2^-1 * Y3 * Y2^-1, (Y1^-1, Y3^-1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y1^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 20, 56, 16, 52, 5, 41)(3, 39, 9, 45, 21, 57, 31, 67, 26, 62, 14, 50)(4, 40, 10, 46, 22, 58, 32, 68, 27, 63, 15, 51)(6, 42, 11, 47, 23, 59, 33, 69, 28, 64, 17, 53)(7, 43, 12, 48, 24, 60, 34, 70, 29, 65, 18, 54)(13, 49, 25, 61, 35, 71, 36, 72, 30, 66, 19, 55)(73, 109, 75, 111, 82, 118, 97, 133, 96, 132, 105, 141, 92, 128, 103, 139, 99, 135, 102, 138, 90, 126, 78, 114)(74, 110, 81, 117, 94, 130, 107, 143, 106, 142, 100, 136, 88, 124, 98, 134, 87, 123, 91, 127, 79, 115, 83, 119)(76, 112, 85, 121, 84, 120, 95, 131, 80, 116, 93, 129, 104, 140, 108, 144, 101, 137, 89, 125, 77, 113, 86, 122)
	L = (1, 76)(2, 82)(3, 85)(4, 79)(5, 87)(6, 86)(7, 73)(8, 94)(9, 97)(10, 84)(11, 75)(12, 74)(13, 83)(14, 91)(15, 90)(16, 99)(17, 98)(18, 77)(19, 78)(20, 104)(21, 107)(22, 96)(23, 81)(24, 80)(25, 95)(26, 102)(27, 101)(28, 103)(29, 88)(30, 89)(31, 108)(32, 106)(33, 93)(34, 92)(35, 105)(36, 100)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.434
Graph:: bipartite
	v = 9 e = 72 f = 9
	degree seq :: [ 12^6, 24^3 ]

E28.433 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C3 (small group id <36, 8>)
Aut   = (C12 x C3) : C2 (small group id <72, 33>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y1, Y3), Y1^-1 * Y2^-1 * Y3 * Y2^-1, Y2 * Y1 * Y3^-1 * Y2, (Y3^-1, Y2), (R * Y1)^2, (R * Y3)^2, Y2^2 * Y3^-1 * Y1, (R * Y2)^2, Y1^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 20, 56, 17, 53, 5, 41)(3, 39, 9, 45, 21, 57, 31, 67, 28, 64, 15, 51)(4, 40, 10, 46, 22, 58, 32, 68, 27, 63, 13, 49)(6, 42, 11, 47, 23, 59, 33, 69, 29, 65, 16, 52)(7, 43, 12, 48, 24, 60, 34, 70, 30, 66, 18, 54)(14, 50, 19, 55, 25, 61, 35, 71, 36, 72, 26, 62)(73, 109, 75, 111, 85, 121, 98, 134, 102, 138, 105, 141, 92, 128, 103, 139, 94, 130, 97, 133, 84, 120, 78, 114)(74, 110, 81, 117, 76, 112, 86, 122, 90, 126, 101, 137, 89, 125, 100, 136, 104, 140, 107, 143, 96, 132, 83, 119)(77, 113, 87, 123, 99, 135, 108, 144, 106, 142, 95, 131, 80, 116, 93, 129, 82, 118, 91, 127, 79, 115, 88, 124)
	L = (1, 76)(2, 82)(3, 86)(4, 79)(5, 85)(6, 81)(7, 73)(8, 94)(9, 91)(10, 84)(11, 93)(12, 74)(13, 90)(14, 88)(15, 98)(16, 75)(17, 99)(18, 77)(19, 78)(20, 104)(21, 97)(22, 96)(23, 103)(24, 80)(25, 83)(26, 101)(27, 102)(28, 108)(29, 87)(30, 89)(31, 107)(32, 106)(33, 100)(34, 92)(35, 95)(36, 105)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.430
Graph:: bipartite
	v = 9 e = 72 f = 9
	degree seq :: [ 12^6, 24^3 ]

E28.434 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C3 (small group id <36, 8>)
Aut   = (C12 x C3) : C2 (small group id <72, 33>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y1, Y3^-1), (Y2, Y1^-1), Y1 * Y2^-1 * Y3^-1 * Y2^-1, (R * Y3)^2, Y2^2 * Y3 * Y1^-1, (R * Y2)^2, (R * Y1)^2, Y1^6, Y2^-4 * Y3 * Y1^2, (Y3 * Y2^-1)^12 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 20, 56, 17, 53, 5, 41)(3, 39, 9, 45, 21, 57, 31, 67, 26, 62, 13, 49)(4, 40, 10, 46, 22, 58, 32, 68, 27, 63, 15, 51)(6, 42, 11, 47, 23, 59, 33, 69, 29, 65, 18, 54)(7, 43, 12, 48, 24, 60, 34, 70, 30, 66, 19, 55)(14, 50, 25, 61, 35, 71, 36, 72, 28, 64, 16, 52)(73, 109, 75, 111, 84, 120, 97, 133, 94, 130, 105, 141, 92, 128, 103, 139, 102, 138, 100, 136, 87, 123, 78, 114)(74, 110, 81, 117, 96, 132, 107, 143, 104, 140, 101, 137, 89, 125, 98, 134, 91, 127, 88, 124, 76, 112, 83, 119)(77, 113, 85, 121, 79, 115, 86, 122, 82, 118, 95, 131, 80, 116, 93, 129, 106, 142, 108, 144, 99, 135, 90, 126)
	L = (1, 76)(2, 82)(3, 83)(4, 79)(5, 87)(6, 88)(7, 73)(8, 94)(9, 95)(10, 84)(11, 86)(12, 74)(13, 78)(14, 75)(15, 91)(16, 85)(17, 99)(18, 100)(19, 77)(20, 104)(21, 105)(22, 96)(23, 97)(24, 80)(25, 81)(26, 90)(27, 102)(28, 98)(29, 108)(30, 89)(31, 101)(32, 106)(33, 107)(34, 92)(35, 93)(36, 103)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.432
Graph:: bipartite
	v = 9 e = 72 f = 9
	degree seq :: [ 12^6, 24^3 ]

E28.435 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C3 (small group id <36, 8>)
Aut   = (C12 x C3) : C2 (small group id <72, 33>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y1, Y3^-1), Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y3^-1 * Y1^-1 * Y2^-2, (Y2^-1, Y3^-1), Y3^-1 * Y2^-2 * Y1^-1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y1^6, Y1^-1 * Y3^-1 * Y2^10 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 20, 56, 19, 55, 5, 41)(3, 39, 9, 45, 21, 57, 31, 67, 29, 65, 15, 51)(4, 40, 10, 46, 22, 58, 32, 68, 30, 66, 17, 53)(6, 42, 11, 47, 23, 59, 33, 69, 28, 64, 14, 50)(7, 43, 12, 48, 24, 60, 34, 70, 27, 63, 13, 49)(16, 52, 18, 54, 25, 61, 35, 71, 36, 72, 26, 62)(73, 109, 75, 111, 85, 121, 98, 134, 102, 138, 105, 141, 92, 128, 103, 139, 96, 132, 97, 133, 82, 118, 78, 114)(74, 110, 81, 117, 79, 115, 88, 124, 89, 125, 100, 136, 91, 127, 101, 137, 106, 142, 107, 143, 94, 130, 83, 119)(76, 112, 86, 122, 77, 113, 87, 123, 99, 135, 108, 144, 104, 140, 95, 131, 80, 116, 93, 129, 84, 120, 90, 126)
	L = (1, 76)(2, 82)(3, 86)(4, 79)(5, 89)(6, 90)(7, 73)(8, 94)(9, 78)(10, 84)(11, 97)(12, 74)(13, 77)(14, 88)(15, 100)(16, 75)(17, 85)(18, 81)(19, 102)(20, 104)(21, 83)(22, 96)(23, 107)(24, 80)(25, 93)(26, 87)(27, 91)(28, 98)(29, 105)(30, 99)(31, 95)(32, 106)(33, 108)(34, 92)(35, 103)(36, 101)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 9 e = 72 f = 9
	degree seq :: [ 12^6, 24^3 ]

E28.436 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C3 (small group id <36, 8>)
Aut   = (C12 x C3) : C2 (small group id <72, 33>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^-1, Y3 * Y2, Y3 * Y1^-1 * Y2 * Y1, Y3 * Y1 * Y2 * Y1^-1, (R * Y1)^2, R * Y2 * R * Y3^-1, Y1^-2 * Y3 * Y1^-1 * Y2^-2, Y1^-1 * Y2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y1^12, Y2^12, (Y3 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 6, 42, 14, 50, 22, 58, 28, 64, 34, 70, 33, 69, 26, 62, 19, 55, 13, 49, 5, 41)(3, 39, 7, 43, 15, 51, 11, 47, 18, 54, 24, 60, 30, 66, 36, 72, 32, 68, 25, 61, 21, 57, 10, 46)(4, 40, 8, 44, 16, 52, 23, 59, 29, 65, 35, 71, 31, 67, 27, 63, 20, 56, 9, 45, 17, 53, 12, 48)(73, 109, 75, 111, 81, 117, 91, 127, 97, 133, 103, 139, 106, 142, 102, 138, 95, 131, 86, 122, 83, 119, 76, 112)(74, 110, 79, 115, 89, 125, 85, 121, 93, 129, 99, 135, 105, 141, 108, 144, 101, 137, 94, 130, 90, 126, 80, 116)(77, 113, 82, 118, 92, 128, 98, 134, 104, 140, 107, 143, 100, 136, 96, 132, 88, 124, 78, 114, 87, 123, 84, 120)
	L = (1, 76)(2, 80)(3, 73)(4, 83)(5, 84)(6, 88)(7, 74)(8, 90)(9, 75)(10, 77)(11, 86)(12, 87)(13, 89)(14, 95)(15, 78)(16, 96)(17, 79)(18, 94)(19, 81)(20, 82)(21, 85)(22, 101)(23, 102)(24, 100)(25, 91)(26, 92)(27, 93)(28, 107)(29, 108)(30, 106)(31, 97)(32, 98)(33, 99)(34, 103)(35, 104)(36, 105)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12^24 ) }
Outer automorphisms :: reflexible
Dual of E28.426
Graph:: bipartite
	v = 6 e = 72 f = 12
	degree seq :: [ 24^6 ]

E28.437 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 12, 12, 12})
Quotient :: edge^2
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1, Y3^2 * Y1^-2, R * Y1 * R * Y2, (R * Y3)^2, (Y3^-1 * Y1)^3, Y1^12, Y2^12, (Y1^-1 * Y3^-1 * Y2^-1)^4 ]
Map:: non-degenerate
	R = (1, 37, 3, 39, 6, 42, 15, 51, 22, 58, 29, 65, 34, 70, 32, 68, 25, 61, 20, 56, 11, 47, 5, 41)(2, 38, 7, 43, 14, 50, 23, 59, 28, 64, 35, 71, 31, 67, 26, 62, 19, 55, 12, 48, 4, 40, 8, 44)(9, 45, 16, 52, 24, 60, 30, 66, 36, 72, 33, 69, 27, 63, 21, 57, 13, 49, 18, 54, 10, 46, 17, 53)(73, 74, 78, 86, 94, 100, 106, 103, 97, 91, 83, 76)(75, 81, 87, 96, 101, 108, 104, 99, 92, 85, 77, 82)(79, 88, 95, 102, 107, 105, 98, 93, 84, 90, 80, 89)(109, 110, 114, 122, 130, 136, 142, 139, 133, 127, 119, 112)(111, 117, 123, 132, 137, 144, 140, 135, 128, 121, 113, 118)(115, 124, 131, 138, 143, 141, 134, 129, 120, 126, 116, 125)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 16^12 ), ( 16^24 ) }
Outer automorphisms :: reflexible
Dual of E28.443
Graph:: bipartite
	v = 9 e = 72 f = 9
	degree seq :: [ 12^6, 24^3 ]

E28.438 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 12, 12, 12})
Quotient :: edge^2
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1, Y2^-1 * Y1, Y3^2 * Y2^-2, Y1^-1 * Y3^2 * Y1^-1, (R * Y3)^2, R * Y2 * R * Y1, (Y3^-1 * Y1^-1)^3, Y1^12, Y2^12, (Y1^-1 * Y3^-1 * Y2^-1)^4 ]
Map:: non-degenerate
	R = (1, 37, 3, 39, 6, 42, 15, 51, 24, 60, 33, 69, 36, 72, 34, 70, 31, 67, 23, 59, 11, 47, 5, 41)(2, 38, 7, 43, 14, 50, 25, 61, 32, 68, 30, 66, 35, 71, 29, 65, 22, 58, 12, 48, 4, 40, 8, 44)(9, 45, 19, 55, 26, 62, 18, 54, 28, 64, 17, 53, 27, 63, 16, 52, 13, 49, 21, 57, 10, 46, 20, 56)(73, 74, 78, 86, 96, 104, 108, 107, 103, 94, 83, 76)(75, 81, 87, 98, 105, 100, 106, 99, 95, 85, 77, 82)(79, 88, 97, 93, 102, 92, 101, 91, 84, 90, 80, 89)(109, 110, 114, 122, 132, 140, 144, 143, 139, 130, 119, 112)(111, 117, 123, 134, 141, 136, 142, 135, 131, 121, 113, 118)(115, 124, 133, 129, 138, 128, 137, 127, 120, 126, 116, 125)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 16^12 ), ( 16^24 ) }
Outer automorphisms :: reflexible
Dual of E28.444
Graph:: bipartite
	v = 9 e = 72 f = 9
	degree seq :: [ 12^6, 24^3 ]

E28.439 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 12, 12, 12})
Quotient :: edge^2
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1, (R * Y3)^2, Y3^4, R * Y1 * R * Y2, Y3^-1 * Y2 * Y3^-2 * Y1^-1 * Y3^-1, Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3, Y3 * Y1^-2 * Y3^-1 * Y1^2, (Y3 * Y1^-1)^3, Y1^-2 * Y3 * Y2^-1 * Y1^-3 * Y3, Y1^-1 * Y3^-2 * Y1^-5, Y2^12, (Y1^-1 * Y3^-1 * Y2^-1)^12 ]
Map:: non-degenerate
	R = (1, 37, 3, 39, 10, 46, 5, 41)(2, 38, 7, 43, 21, 57, 8, 44)(4, 40, 12, 48, 27, 63, 14, 50)(6, 42, 18, 54, 35, 71, 19, 55)(9, 45, 25, 61, 15, 51, 26, 62)(11, 47, 23, 59, 16, 52, 20, 56)(13, 49, 28, 64, 31, 67, 30, 66)(17, 53, 32, 68, 29, 65, 33, 69)(22, 58, 36, 72, 24, 60, 34, 70)(73, 74, 78, 89, 103, 99, 82, 93, 107, 101, 85, 76)(75, 81, 90, 106, 102, 88, 77, 87, 91, 108, 100, 83)(79, 92, 104, 98, 86, 96, 80, 95, 105, 97, 84, 94)(109, 110, 114, 125, 139, 135, 118, 129, 143, 137, 121, 112)(111, 117, 126, 142, 138, 124, 113, 123, 127, 144, 136, 119)(115, 128, 140, 134, 122, 132, 116, 131, 141, 133, 120, 130)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 48^8 ), ( 48^12 ) }
Outer automorphisms :: reflexible
Dual of E28.441
Graph:: bipartite
	v = 15 e = 72 f = 3
	degree seq :: [ 8^9, 12^6 ]

E28.440 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 12, 12, 12})
Quotient :: edge^2
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1, R * Y2 * R * Y1, Y3^4, (R * Y3)^2, Y3^-2 * Y2 * Y3^-2 * Y1^-1, Y1^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3, Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1^-2 * Y3^-1 * Y1^2, Y1^-2 * Y3 * Y2^-1 * Y1^-3 * Y3, Y1^-1 * Y3^-2 * Y1^-5, (Y2 * Y1)^6, Y2^12 ]
Map:: non-degenerate
	R = (1, 37, 3, 39, 10, 46, 5, 41)(2, 38, 7, 43, 21, 57, 8, 44)(4, 40, 12, 48, 27, 63, 14, 50)(6, 42, 18, 54, 35, 71, 19, 55)(9, 45, 25, 61, 15, 51, 26, 62)(11, 47, 20, 56, 16, 52, 23, 59)(13, 49, 28, 64, 31, 67, 30, 66)(17, 53, 32, 68, 29, 65, 33, 69)(22, 58, 34, 70, 24, 60, 36, 72)(73, 74, 78, 89, 103, 99, 82, 93, 107, 101, 85, 76)(75, 81, 90, 106, 102, 88, 77, 87, 91, 108, 100, 83)(79, 92, 104, 97, 86, 96, 80, 95, 105, 98, 84, 94)(109, 110, 114, 125, 139, 135, 118, 129, 143, 137, 121, 112)(111, 117, 126, 142, 138, 124, 113, 123, 127, 144, 136, 119)(115, 128, 140, 133, 122, 132, 116, 131, 141, 134, 120, 130)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 48^8 ), ( 48^12 ) }
Outer automorphisms :: reflexible
Dual of E28.442
Graph:: bipartite
	v = 15 e = 72 f = 3
	degree seq :: [ 8^9, 12^6 ]

E28.441 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 12, 12, 12})
Quotient :: loop^2
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1, Y3^2 * Y1^-2, R * Y1 * R * Y2, (R * Y3)^2, (Y3^-1 * Y1)^3, Y1^12, Y2^12, (Y1^-1 * Y3^-1 * Y2^-1)^4 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 3, 39, 75, 111, 6, 42, 78, 114, 15, 51, 87, 123, 22, 58, 94, 130, 29, 65, 101, 137, 34, 70, 106, 142, 32, 68, 104, 140, 25, 61, 97, 133, 20, 56, 92, 128, 11, 47, 83, 119, 5, 41, 77, 113)(2, 38, 74, 110, 7, 43, 79, 115, 14, 50, 86, 122, 23, 59, 95, 131, 28, 64, 100, 136, 35, 71, 107, 143, 31, 67, 103, 139, 26, 62, 98, 134, 19, 55, 91, 127, 12, 48, 84, 120, 4, 40, 76, 112, 8, 44, 80, 116)(9, 45, 81, 117, 16, 52, 88, 124, 24, 60, 96, 132, 30, 66, 102, 138, 36, 72, 108, 144, 33, 69, 105, 141, 27, 63, 99, 135, 21, 57, 93, 129, 13, 49, 85, 121, 18, 54, 90, 126, 10, 46, 82, 118, 17, 53, 89, 125)
	L = (1, 38)(2, 42)(3, 45)(4, 37)(5, 46)(6, 50)(7, 52)(8, 53)(9, 51)(10, 39)(11, 40)(12, 54)(13, 41)(14, 58)(15, 60)(16, 59)(17, 43)(18, 44)(19, 47)(20, 49)(21, 48)(22, 64)(23, 66)(24, 65)(25, 55)(26, 57)(27, 56)(28, 70)(29, 72)(30, 71)(31, 61)(32, 63)(33, 62)(34, 67)(35, 69)(36, 68)(73, 110)(74, 114)(75, 117)(76, 109)(77, 118)(78, 122)(79, 124)(80, 125)(81, 123)(82, 111)(83, 112)(84, 126)(85, 113)(86, 130)(87, 132)(88, 131)(89, 115)(90, 116)(91, 119)(92, 121)(93, 120)(94, 136)(95, 138)(96, 137)(97, 127)(98, 129)(99, 128)(100, 142)(101, 144)(102, 143)(103, 133)(104, 135)(105, 134)(106, 139)(107, 141)(108, 140)
	local type(s) :: { ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.439
Transitivity :: VT+
Graph::
	v = 3 e = 72 f = 15
	degree seq :: [ 48^3 ]

E28.442 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 12, 12, 12})
Quotient :: loop^2
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1, Y2^-1 * Y1, Y3^2 * Y2^-2, Y1^-1 * Y3^2 * Y1^-1, (R * Y3)^2, R * Y2 * R * Y1, (Y3^-1 * Y1^-1)^3, Y1^12, Y2^12, (Y1^-1 * Y3^-1 * Y2^-1)^4 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 3, 39, 75, 111, 6, 42, 78, 114, 15, 51, 87, 123, 24, 60, 96, 132, 33, 69, 105, 141, 36, 72, 108, 144, 34, 70, 106, 142, 31, 67, 103, 139, 23, 59, 95, 131, 11, 47, 83, 119, 5, 41, 77, 113)(2, 38, 74, 110, 7, 43, 79, 115, 14, 50, 86, 122, 25, 61, 97, 133, 32, 68, 104, 140, 30, 66, 102, 138, 35, 71, 107, 143, 29, 65, 101, 137, 22, 58, 94, 130, 12, 48, 84, 120, 4, 40, 76, 112, 8, 44, 80, 116)(9, 45, 81, 117, 19, 55, 91, 127, 26, 62, 98, 134, 18, 54, 90, 126, 28, 64, 100, 136, 17, 53, 89, 125, 27, 63, 99, 135, 16, 52, 88, 124, 13, 49, 85, 121, 21, 57, 93, 129, 10, 46, 82, 118, 20, 56, 92, 128)
	L = (1, 38)(2, 42)(3, 45)(4, 37)(5, 46)(6, 50)(7, 52)(8, 53)(9, 51)(10, 39)(11, 40)(12, 54)(13, 41)(14, 60)(15, 62)(16, 61)(17, 43)(18, 44)(19, 48)(20, 65)(21, 66)(22, 47)(23, 49)(24, 68)(25, 57)(26, 69)(27, 59)(28, 70)(29, 55)(30, 56)(31, 58)(32, 72)(33, 64)(34, 63)(35, 67)(36, 71)(73, 110)(74, 114)(75, 117)(76, 109)(77, 118)(78, 122)(79, 124)(80, 125)(81, 123)(82, 111)(83, 112)(84, 126)(85, 113)(86, 132)(87, 134)(88, 133)(89, 115)(90, 116)(91, 120)(92, 137)(93, 138)(94, 119)(95, 121)(96, 140)(97, 129)(98, 141)(99, 131)(100, 142)(101, 127)(102, 128)(103, 130)(104, 144)(105, 136)(106, 135)(107, 139)(108, 143)
	local type(s) :: { ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.440
Transitivity :: VT+
Graph::
	v = 3 e = 72 f = 15
	degree seq :: [ 48^3 ]

E28.443 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 12, 12, 12})
Quotient :: loop^2
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1, (R * Y3)^2, Y3^4, R * Y1 * R * Y2, Y3^-1 * Y2 * Y3^-2 * Y1^-1 * Y3^-1, Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3, Y3 * Y1^-2 * Y3^-1 * Y1^2, (Y3 * Y1^-1)^3, Y1^-2 * Y3 * Y2^-1 * Y1^-3 * Y3, Y1^-1 * Y3^-2 * Y1^-5, Y2^12, (Y1^-1 * Y3^-1 * Y2^-1)^12 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 3, 39, 75, 111, 10, 46, 82, 118, 5, 41, 77, 113)(2, 38, 74, 110, 7, 43, 79, 115, 21, 57, 93, 129, 8, 44, 80, 116)(4, 40, 76, 112, 12, 48, 84, 120, 27, 63, 99, 135, 14, 50, 86, 122)(6, 42, 78, 114, 18, 54, 90, 126, 35, 71, 107, 143, 19, 55, 91, 127)(9, 45, 81, 117, 25, 61, 97, 133, 15, 51, 87, 123, 26, 62, 98, 134)(11, 47, 83, 119, 23, 59, 95, 131, 16, 52, 88, 124, 20, 56, 92, 128)(13, 49, 85, 121, 28, 64, 100, 136, 31, 67, 103, 139, 30, 66, 102, 138)(17, 53, 89, 125, 32, 68, 104, 140, 29, 65, 101, 137, 33, 69, 105, 141)(22, 58, 94, 130, 36, 72, 108, 144, 24, 60, 96, 132, 34, 70, 106, 142)
	L = (1, 38)(2, 42)(3, 45)(4, 37)(5, 51)(6, 53)(7, 56)(8, 59)(9, 54)(10, 57)(11, 39)(12, 58)(13, 40)(14, 60)(15, 55)(16, 41)(17, 67)(18, 70)(19, 72)(20, 68)(21, 71)(22, 43)(23, 69)(24, 44)(25, 48)(26, 50)(27, 46)(28, 47)(29, 49)(30, 52)(31, 63)(32, 62)(33, 61)(34, 66)(35, 65)(36, 64)(73, 110)(74, 114)(75, 117)(76, 109)(77, 123)(78, 125)(79, 128)(80, 131)(81, 126)(82, 129)(83, 111)(84, 130)(85, 112)(86, 132)(87, 127)(88, 113)(89, 139)(90, 142)(91, 144)(92, 140)(93, 143)(94, 115)(95, 141)(96, 116)(97, 120)(98, 122)(99, 118)(100, 119)(101, 121)(102, 124)(103, 135)(104, 134)(105, 133)(106, 138)(107, 137)(108, 136)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.437
Transitivity :: VT+
Graph::
	v = 9 e = 72 f = 9
	degree seq :: [ 16^9 ]

E28.444 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 12, 12, 12})
Quotient :: loop^2
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1, R * Y2 * R * Y1, Y3^4, (R * Y3)^2, Y3^-2 * Y2 * Y3^-2 * Y1^-1, Y1^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3, Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1^-2 * Y3^-1 * Y1^2, Y1^-2 * Y3 * Y2^-1 * Y1^-3 * Y3, Y1^-1 * Y3^-2 * Y1^-5, (Y2 * Y1)^6, Y2^12 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 3, 39, 75, 111, 10, 46, 82, 118, 5, 41, 77, 113)(2, 38, 74, 110, 7, 43, 79, 115, 21, 57, 93, 129, 8, 44, 80, 116)(4, 40, 76, 112, 12, 48, 84, 120, 27, 63, 99, 135, 14, 50, 86, 122)(6, 42, 78, 114, 18, 54, 90, 126, 35, 71, 107, 143, 19, 55, 91, 127)(9, 45, 81, 117, 25, 61, 97, 133, 15, 51, 87, 123, 26, 62, 98, 134)(11, 47, 83, 119, 20, 56, 92, 128, 16, 52, 88, 124, 23, 59, 95, 131)(13, 49, 85, 121, 28, 64, 100, 136, 31, 67, 103, 139, 30, 66, 102, 138)(17, 53, 89, 125, 32, 68, 104, 140, 29, 65, 101, 137, 33, 69, 105, 141)(22, 58, 94, 130, 34, 70, 106, 142, 24, 60, 96, 132, 36, 72, 108, 144)
	L = (1, 38)(2, 42)(3, 45)(4, 37)(5, 51)(6, 53)(7, 56)(8, 59)(9, 54)(10, 57)(11, 39)(12, 58)(13, 40)(14, 60)(15, 55)(16, 41)(17, 67)(18, 70)(19, 72)(20, 68)(21, 71)(22, 43)(23, 69)(24, 44)(25, 50)(26, 48)(27, 46)(28, 47)(29, 49)(30, 52)(31, 63)(32, 61)(33, 62)(34, 66)(35, 65)(36, 64)(73, 110)(74, 114)(75, 117)(76, 109)(77, 123)(78, 125)(79, 128)(80, 131)(81, 126)(82, 129)(83, 111)(84, 130)(85, 112)(86, 132)(87, 127)(88, 113)(89, 139)(90, 142)(91, 144)(92, 140)(93, 143)(94, 115)(95, 141)(96, 116)(97, 122)(98, 120)(99, 118)(100, 119)(101, 121)(102, 124)(103, 135)(104, 133)(105, 134)(106, 138)(107, 137)(108, 136)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.438
Transitivity :: VT+
Graph::
	v = 9 e = 72 f = 9
	degree seq :: [ 16^9 ]

E28.445 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 12, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y3, Y1), (Y3^-1, Y2^-1), (R * Y1)^2, (R * Y3)^2, Y1^4, (R * Y2)^2, Y2^-1 * Y1 * Y3 * Y1 * Y2^-1, Y3^-1 * Y2^-4, Y1^-2 * Y2 * Y3^-1 * Y2, Y2^-1 * Y3 * Y1^-2 * Y2^-1, Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 5, 41)(3, 39, 13, 49, 19, 55, 16, 52)(4, 40, 10, 46, 14, 50, 18, 54)(6, 42, 23, 59, 17, 53, 24, 60)(7, 43, 12, 48, 25, 61, 22, 58)(9, 45, 27, 63, 20, 56, 29, 65)(11, 47, 30, 66, 21, 57, 31, 67)(15, 51, 33, 69, 26, 62, 35, 71)(28, 64, 36, 72, 32, 68, 34, 70)(73, 109, 75, 111, 86, 122, 98, 134, 79, 115, 89, 125, 80, 116, 91, 127, 76, 112, 87, 123, 97, 133, 78, 114)(74, 110, 81, 117, 90, 126, 104, 140, 84, 120, 93, 129, 77, 113, 92, 128, 82, 118, 100, 136, 94, 130, 83, 119)(85, 121, 103, 139, 107, 143, 101, 137, 96, 132, 108, 144, 88, 124, 102, 138, 105, 141, 99, 135, 95, 131, 106, 142)
	L = (1, 76)(2, 82)(3, 87)(4, 79)(5, 90)(6, 91)(7, 73)(8, 86)(9, 100)(10, 84)(11, 92)(12, 74)(13, 105)(14, 97)(15, 89)(16, 107)(17, 75)(18, 94)(19, 98)(20, 104)(21, 81)(22, 77)(23, 88)(24, 85)(25, 80)(26, 78)(27, 108)(28, 93)(29, 106)(30, 101)(31, 99)(32, 83)(33, 96)(34, 102)(35, 95)(36, 103)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 24^8 ), ( 24^24 ) }
Outer automorphisms :: reflexible
Dual of E28.449
Graph:: bipartite
	v = 12 e = 72 f = 6
	degree seq :: [ 8^9, 24^3 ]

E28.446 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 12, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y3, Y1), (Y3^-1, Y2^-1), (R * Y1)^2, (R * Y3)^2, Y1^4, (R * Y2)^2, Y3^-1 * Y2^-4, Y1^-1 * Y2 * Y3^-1 * Y2 * Y1^-1, Y1 * Y3 * Y1 * Y2^-2, Y2^-1 * Y3 * Y1^-2 * Y2^-1, Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2^-1, Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 5, 41)(3, 39, 13, 49, 19, 55, 16, 52)(4, 40, 10, 46, 14, 50, 18, 54)(6, 42, 23, 59, 17, 53, 24, 60)(7, 43, 12, 48, 25, 61, 22, 58)(9, 45, 27, 63, 20, 56, 29, 65)(11, 47, 30, 66, 21, 57, 31, 67)(15, 51, 33, 69, 26, 62, 35, 71)(28, 64, 34, 70, 32, 68, 36, 72)(73, 109, 75, 111, 86, 122, 98, 134, 79, 115, 89, 125, 80, 116, 91, 127, 76, 112, 87, 123, 97, 133, 78, 114)(74, 110, 81, 117, 90, 126, 104, 140, 84, 120, 93, 129, 77, 113, 92, 128, 82, 118, 100, 136, 94, 130, 83, 119)(85, 121, 102, 138, 107, 143, 99, 135, 96, 132, 108, 144, 88, 124, 103, 139, 105, 141, 101, 137, 95, 131, 106, 142)
	L = (1, 76)(2, 82)(3, 87)(4, 79)(5, 90)(6, 91)(7, 73)(8, 86)(9, 100)(10, 84)(11, 92)(12, 74)(13, 105)(14, 97)(15, 89)(16, 107)(17, 75)(18, 94)(19, 98)(20, 104)(21, 81)(22, 77)(23, 88)(24, 85)(25, 80)(26, 78)(27, 106)(28, 93)(29, 108)(30, 101)(31, 99)(32, 83)(33, 96)(34, 103)(35, 95)(36, 102)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 24^8 ), ( 24^24 ) }
Outer automorphisms :: reflexible
Dual of E28.450
Graph:: bipartite
	v = 12 e = 72 f = 6
	degree seq :: [ 8^9, 24^3 ]

E28.447 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 12, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1 * Y3^-1, Y3^3, (R * Y3^-1)^2, Y1^4, (R * Y1)^2, (R * Y3)^2, Y1 * Y2 * Y1^-1 * Y3 * Y1, Y2 * Y3^-1 * Y2^-2 * Y1^-1, Y2^2 * Y3^-1 * Y2 * Y3 * Y1^-1, Y2^12, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 5, 41)(3, 39, 7, 43, 25, 61, 14, 50)(4, 40, 16, 52, 10, 46, 17, 53)(6, 42, 22, 58, 20, 56, 23, 59)(9, 45, 11, 47, 19, 55, 21, 57)(12, 48, 15, 51, 28, 64, 32, 68)(13, 49, 33, 69, 26, 62, 34, 70)(18, 54, 24, 60, 29, 65, 36, 72)(27, 63, 31, 67, 30, 66, 35, 71)(73, 109, 75, 111, 84, 120, 103, 139, 108, 144, 92, 128, 80, 116, 97, 133, 100, 136, 107, 143, 96, 132, 78, 114)(74, 110, 81, 117, 87, 123, 106, 142, 90, 126, 76, 112, 77, 113, 91, 127, 104, 140, 105, 141, 101, 137, 82, 118)(79, 115, 89, 125, 102, 138, 83, 119, 95, 131, 85, 121, 86, 122, 88, 124, 99, 135, 93, 129, 94, 130, 98, 134)
	L = (1, 76)(2, 78)(3, 85)(4, 79)(5, 92)(6, 83)(7, 73)(8, 82)(9, 99)(10, 86)(11, 74)(12, 91)(13, 87)(14, 80)(15, 75)(16, 90)(17, 101)(18, 103)(19, 102)(20, 93)(21, 77)(22, 96)(23, 108)(24, 106)(25, 98)(26, 104)(27, 100)(28, 81)(29, 107)(30, 84)(31, 88)(32, 97)(33, 95)(34, 94)(35, 89)(36, 105)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 24^8 ), ( 24^24 ) }
Outer automorphisms :: reflexible
Dual of E28.451
Graph:: bipartite
	v = 12 e = 72 f = 6
	degree seq :: [ 8^9, 24^3 ]

E28.448 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 12, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1 * Y2, (Y1^-1, Y3^-1), (R * Y1)^2, (R * Y3)^2, Y1^4, (R * Y2)^2, Y1^2 * Y3^3, Y1^2 * Y2 * Y1^2 * Y2^-1, Y2 * Y3^2 * Y2 * Y1^2, (Y1 * Y2^-1)^3, Y1^-1 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 5, 41)(3, 39, 13, 49, 25, 61, 15, 51)(4, 40, 10, 46, 24, 60, 17, 53)(6, 42, 21, 57, 26, 62, 22, 58)(7, 43, 12, 48, 16, 52, 20, 56)(9, 45, 27, 63, 18, 54, 29, 65)(11, 47, 30, 66, 19, 55, 31, 67)(14, 50, 33, 69, 23, 59, 35, 71)(28, 64, 34, 70, 32, 68, 36, 72)(73, 109, 75, 111, 76, 112, 86, 122, 88, 124, 98, 134, 80, 116, 97, 133, 96, 132, 95, 131, 79, 115, 78, 114)(74, 110, 81, 117, 82, 118, 100, 136, 92, 128, 91, 127, 77, 113, 90, 126, 89, 125, 104, 140, 84, 120, 83, 119)(85, 121, 103, 139, 105, 141, 101, 137, 94, 130, 108, 144, 87, 123, 102, 138, 107, 143, 99, 135, 93, 129, 106, 142)
	L = (1, 76)(2, 82)(3, 86)(4, 88)(5, 89)(6, 75)(7, 73)(8, 96)(9, 100)(10, 92)(11, 81)(12, 74)(13, 105)(14, 98)(15, 107)(16, 80)(17, 84)(18, 104)(19, 90)(20, 77)(21, 85)(22, 87)(23, 78)(24, 79)(25, 95)(26, 97)(27, 106)(28, 91)(29, 108)(30, 99)(31, 101)(32, 83)(33, 94)(34, 103)(35, 93)(36, 102)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 24^8 ), ( 24^24 ) }
Outer automorphisms :: reflexible
Dual of E28.452
Graph:: bipartite
	v = 12 e = 72 f = 6
	degree seq :: [ 8^9, 24^3 ]

E28.449 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 12, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y3^-3, (Y3^-1, Y1^-1), Y2^-2 * Y1^2, (R * Y2)^2, (Y2^-1, Y3^-1), (R * Y3)^2, (R * Y1)^2, Y2^4 * Y3, Y3 * Y1 * Y2^2 * Y1, Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-1, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y1^12 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 21, 57, 7, 43, 12, 48, 24, 60, 17, 53, 4, 40, 10, 46, 19, 55, 5, 41)(3, 39, 13, 49, 23, 59, 33, 69, 16, 52, 31, 67, 18, 54, 32, 68, 14, 50, 22, 58, 6, 42, 15, 51)(9, 45, 25, 61, 30, 66, 36, 72, 27, 63, 35, 71, 28, 64, 34, 70, 20, 56, 29, 65, 11, 47, 26, 62)(73, 109, 75, 111, 80, 116, 95, 131, 79, 115, 88, 124, 96, 132, 90, 126, 76, 112, 86, 122, 91, 127, 78, 114)(74, 110, 81, 117, 93, 129, 102, 138, 84, 120, 99, 135, 89, 125, 100, 136, 82, 118, 92, 128, 77, 113, 83, 119)(85, 121, 97, 133, 105, 141, 108, 144, 103, 139, 107, 143, 104, 140, 106, 142, 94, 130, 101, 137, 87, 123, 98, 134)
	L = (1, 76)(2, 82)(3, 86)(4, 79)(5, 89)(6, 90)(7, 73)(8, 91)(9, 92)(10, 84)(11, 100)(12, 74)(13, 94)(14, 88)(15, 104)(16, 75)(17, 93)(18, 95)(19, 96)(20, 99)(21, 77)(22, 103)(23, 78)(24, 80)(25, 101)(26, 106)(27, 81)(28, 102)(29, 107)(30, 83)(31, 85)(32, 105)(33, 87)(34, 108)(35, 97)(36, 98)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.445
Graph:: bipartite
	v = 6 e = 72 f = 12
	degree seq :: [ 24^6 ]

E28.450 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 12, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y2, Y3^-1), (Y1^-1, Y3^-1), (R * Y2)^2, (R * Y1)^2, Y1 * Y2^-2 * Y1, (R * Y3)^2, Y2^-4 * Y3^-1, (Y1^-1 * Y2^-1)^3, Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y3 * Y2^-1, Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y3^-1 * Y2^-1, (Y2^-1 * Y3)^12 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 21, 57, 7, 43, 12, 48, 24, 60, 17, 53, 4, 40, 10, 46, 19, 55, 5, 41)(3, 39, 13, 49, 23, 59, 36, 72, 16, 52, 33, 69, 18, 54, 34, 70, 14, 50, 22, 58, 6, 42, 15, 51)(9, 45, 25, 61, 30, 66, 35, 71, 27, 63, 32, 68, 28, 64, 31, 67, 20, 56, 29, 65, 11, 47, 26, 62)(73, 109, 75, 111, 80, 116, 95, 131, 79, 115, 88, 124, 96, 132, 90, 126, 76, 112, 86, 122, 91, 127, 78, 114)(74, 110, 81, 117, 93, 129, 102, 138, 84, 120, 99, 135, 89, 125, 100, 136, 82, 118, 92, 128, 77, 113, 83, 119)(85, 121, 103, 139, 108, 144, 101, 137, 105, 141, 98, 134, 106, 142, 97, 133, 94, 130, 107, 143, 87, 123, 104, 140)
	L = (1, 76)(2, 82)(3, 86)(4, 79)(5, 89)(6, 90)(7, 73)(8, 91)(9, 92)(10, 84)(11, 100)(12, 74)(13, 94)(14, 88)(15, 106)(16, 75)(17, 93)(18, 95)(19, 96)(20, 99)(21, 77)(22, 105)(23, 78)(24, 80)(25, 101)(26, 103)(27, 81)(28, 102)(29, 104)(30, 83)(31, 107)(32, 97)(33, 85)(34, 108)(35, 98)(36, 87)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.446
Graph:: bipartite
	v = 6 e = 72 f = 12
	degree seq :: [ 24^6 ]

E28.451 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 12, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1 * Y1^-1, Y3^3, Y2^-2 * Y1^2, Y1^-1 * Y2^2 * Y1^-1, (R * Y1^-1)^2, Y1^2 * Y2^-2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y2^-1, Y2 * Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1, Y3 * Y1 * Y3^-1 * Y2 * Y3 * Y2 * Y1, (Y3^-1 * Y1^-1)^4, Y2^12 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 16, 52, 26, 62, 31, 67, 36, 72, 35, 71, 34, 70, 21, 57, 18, 54, 5, 41)(3, 39, 12, 48, 9, 45, 25, 61, 33, 69, 28, 64, 32, 68, 27, 63, 23, 59, 7, 43, 6, 42, 14, 50)(4, 40, 15, 51, 24, 60, 22, 58, 29, 65, 20, 56, 30, 66, 13, 49, 19, 55, 11, 47, 10, 46, 17, 53)(73, 109, 75, 111, 80, 116, 81, 117, 98, 134, 105, 141, 108, 144, 104, 140, 106, 142, 95, 131, 90, 126, 78, 114)(74, 110, 76, 112, 88, 124, 96, 132, 103, 139, 101, 137, 107, 143, 102, 138, 93, 129, 91, 127, 77, 113, 82, 118)(79, 115, 94, 130, 86, 122, 92, 128, 84, 120, 85, 121, 97, 133, 83, 119, 100, 136, 89, 125, 99, 135, 87, 123)
	L = (1, 76)(2, 81)(3, 85)(4, 79)(5, 75)(6, 92)(7, 73)(8, 96)(9, 83)(10, 99)(11, 74)(12, 98)(13, 77)(14, 80)(15, 103)(16, 105)(17, 88)(18, 82)(19, 100)(20, 93)(21, 78)(22, 107)(23, 94)(24, 86)(25, 108)(26, 101)(27, 90)(28, 106)(29, 84)(30, 97)(31, 104)(32, 87)(33, 89)(34, 91)(35, 95)(36, 102)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.447
Graph:: bipartite
	v = 6 e = 72 f = 12
	degree seq :: [ 24^6 ]

E28.452 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 12, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-1 * Y1, Y2^-2 * Y3, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y1, Y3^6, (Y3^-1 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 4, 40, 9, 45, 14, 50, 23, 59, 27, 63, 30, 66, 19, 55, 16, 52, 7, 43, 5, 41)(3, 39, 11, 47, 12, 48, 25, 61, 26, 62, 35, 71, 32, 68, 31, 67, 18, 54, 17, 53, 6, 42, 13, 49)(8, 44, 20, 56, 21, 57, 33, 69, 34, 70, 36, 72, 29, 65, 28, 64, 15, 51, 24, 60, 10, 46, 22, 58)(73, 109, 75, 111, 76, 112, 84, 120, 86, 122, 98, 134, 99, 135, 104, 140, 91, 127, 90, 126, 79, 115, 78, 114)(74, 110, 80, 116, 81, 117, 93, 129, 95, 131, 106, 142, 102, 138, 101, 137, 88, 124, 87, 123, 77, 113, 82, 118)(83, 119, 92, 128, 97, 133, 105, 141, 107, 143, 108, 144, 103, 139, 100, 136, 89, 125, 96, 132, 85, 121, 94, 130)
	L = (1, 76)(2, 81)(3, 84)(4, 86)(5, 74)(6, 75)(7, 73)(8, 93)(9, 95)(10, 80)(11, 97)(12, 98)(13, 83)(14, 99)(15, 82)(16, 77)(17, 85)(18, 78)(19, 79)(20, 105)(21, 106)(22, 92)(23, 102)(24, 94)(25, 107)(26, 104)(27, 91)(28, 96)(29, 87)(30, 88)(31, 89)(32, 90)(33, 108)(34, 101)(35, 103)(36, 100)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.448
Graph:: bipartite
	v = 6 e = 72 f = 12
	degree seq :: [ 24^6 ]

E28.453 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 12, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C3 (small group id <36, 8>)
Aut   = (C12 x C3) : C2 (small group id <72, 33>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2^3 * Y1^-1, (Y3^-1, Y2), (Y2^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y1), (R * Y2)^2, Y1^4, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 5, 41)(3, 39, 9, 45, 21, 57, 14, 50)(4, 40, 10, 46, 22, 58, 16, 52)(6, 42, 11, 47, 23, 59, 18, 54)(7, 43, 12, 48, 24, 60, 19, 55)(13, 49, 25, 61, 33, 69, 29, 65)(15, 51, 26, 62, 34, 70, 30, 66)(17, 53, 27, 63, 35, 71, 31, 67)(20, 56, 28, 64, 36, 72, 32, 68)(73, 109, 75, 111, 83, 119, 74, 110, 81, 117, 95, 131, 80, 116, 93, 129, 90, 126, 77, 113, 86, 122, 78, 114)(76, 112, 85, 121, 99, 135, 82, 118, 97, 133, 107, 143, 94, 130, 105, 141, 103, 139, 88, 124, 101, 137, 89, 125)(79, 115, 87, 123, 100, 136, 84, 120, 98, 134, 108, 144, 96, 132, 106, 142, 104, 140, 91, 127, 102, 138, 92, 128)
	L = (1, 76)(2, 82)(3, 85)(4, 79)(5, 88)(6, 89)(7, 73)(8, 94)(9, 97)(10, 84)(11, 99)(12, 74)(13, 87)(14, 101)(15, 75)(16, 91)(17, 92)(18, 103)(19, 77)(20, 78)(21, 105)(22, 96)(23, 107)(24, 80)(25, 98)(26, 81)(27, 100)(28, 83)(29, 102)(30, 86)(31, 104)(32, 90)(33, 106)(34, 93)(35, 108)(36, 95)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 24^8 ), ( 24^24 ) }
Outer automorphisms :: reflexible
Dual of E28.454
Graph:: bipartite
	v = 12 e = 72 f = 6
	degree seq :: [ 8^9, 24^3 ]

E28.454 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 12, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C3 (small group id <36, 8>)
Aut   = (C12 x C3) : C2 (small group id <72, 33>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y1^-1, Y3), (Y1, Y2^-1), (R * Y2)^2, (R * Y1)^2, (Y3^-1, Y2^-1), (R * Y3)^2, Y3^-1 * Y2^3 * Y1^-1, Y1^4 * Y3, Y3^-1 * Y2^-2 * Y1 * Y3^-1 * Y2^-1, Y1^-1 * Y2^-2 * Y1^-2 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 21, 57, 7, 43, 12, 48, 26, 62, 17, 53, 4, 40, 10, 46, 19, 55, 5, 41)(3, 39, 9, 45, 24, 60, 22, 58, 16, 52, 29, 65, 35, 71, 31, 67, 14, 50, 28, 64, 32, 68, 15, 51)(6, 42, 11, 47, 25, 61, 34, 70, 23, 59, 30, 66, 36, 72, 33, 69, 18, 54, 13, 49, 27, 63, 20, 56)(73, 109, 75, 111, 85, 121, 82, 118, 100, 136, 108, 144, 98, 134, 107, 143, 106, 142, 93, 129, 94, 130, 78, 114)(74, 110, 81, 117, 99, 135, 91, 127, 104, 140, 105, 141, 89, 125, 103, 139, 95, 131, 79, 115, 88, 124, 83, 119)(76, 112, 86, 122, 102, 138, 84, 120, 101, 137, 97, 133, 80, 116, 96, 132, 92, 128, 77, 113, 87, 123, 90, 126)
	L = (1, 76)(2, 82)(3, 86)(4, 79)(5, 89)(6, 90)(7, 73)(8, 91)(9, 100)(10, 84)(11, 85)(12, 74)(13, 102)(14, 88)(15, 103)(16, 75)(17, 93)(18, 95)(19, 98)(20, 105)(21, 77)(22, 87)(23, 78)(24, 104)(25, 99)(26, 80)(27, 108)(28, 101)(29, 81)(30, 83)(31, 94)(32, 107)(33, 106)(34, 92)(35, 96)(36, 97)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.453
Graph:: bipartite
	v = 6 e = 72 f = 12
	degree seq :: [ 24^6 ]

E28.455 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 9, 18})
Quotient :: dipole
Aut^+ = C18 x C2 (small group id <36, 5>)
Aut   = C2 x C2 x D18 (small group id <72, 17>)
|r| :: 2
Presentation :: [ R^2, Y3^3 * Y2^-1, Y1^-2 * Y2^-2, (Y3^-1, Y2^-1), (R * Y2)^2, (Y1^-1 * Y2^-1)^2, (R * Y1)^2, (Y2, Y1), (R * Y3)^2, (Y1, Y3^-1), Y1^6, Y2^6, (Y1^-1 * Y3^-1)^18 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 21, 57, 13, 49, 5, 41)(3, 39, 9, 45, 6, 42, 11, 47, 23, 59, 15, 51)(4, 40, 10, 46, 22, 58, 33, 69, 29, 65, 17, 53)(7, 43, 12, 48, 24, 60, 34, 70, 30, 66, 19, 55)(14, 50, 25, 61, 18, 54, 27, 63, 35, 71, 31, 67)(16, 52, 26, 62, 20, 56, 28, 64, 36, 72, 32, 68)(73, 109, 75, 111, 85, 121, 95, 131, 80, 116, 78, 114)(74, 110, 81, 117, 77, 113, 87, 123, 93, 129, 83, 119)(76, 112, 86, 122, 101, 137, 107, 143, 94, 130, 90, 126)(79, 115, 88, 124, 102, 138, 108, 144, 96, 132, 92, 128)(82, 118, 97, 133, 89, 125, 103, 139, 105, 141, 99, 135)(84, 120, 98, 134, 91, 127, 104, 140, 106, 142, 100, 136)
	L = (1, 76)(2, 82)(3, 86)(4, 88)(5, 89)(6, 90)(7, 73)(8, 94)(9, 97)(10, 98)(11, 99)(12, 74)(13, 101)(14, 102)(15, 103)(16, 75)(17, 104)(18, 79)(19, 77)(20, 78)(21, 105)(22, 92)(23, 107)(24, 80)(25, 91)(26, 81)(27, 84)(28, 83)(29, 108)(30, 85)(31, 106)(32, 87)(33, 100)(34, 93)(35, 96)(36, 95)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.464
Graph:: bipartite
	v = 12 e = 72 f = 6
	degree seq :: [ 12^12 ]

E28.456 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 9, 18})
Quotient :: dipole
Aut^+ = C18 x C2 (small group id <36, 5>)
Aut   = C2 x C2 x D18 (small group id <72, 17>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2^-1, Y1^-1), (R * Y3)^2, Y1^-1 * Y3 * Y1 * Y3, (R * Y1)^2, (R * Y2)^2, Y3 * Y2 * Y3 * Y2^-1, Y2^3 * Y1^2, Y1^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 7, 43, 19, 55, 16, 52, 5, 41)(3, 39, 8, 44, 18, 54, 24, 60, 28, 64, 13, 49)(4, 40, 9, 45, 20, 56, 32, 68, 29, 65, 14, 50)(6, 42, 10, 46, 21, 57, 26, 62, 11, 47, 17, 53)(12, 48, 22, 58, 31, 67, 34, 70, 36, 72, 27, 63)(15, 51, 23, 59, 33, 69, 35, 71, 25, 61, 30, 66)(73, 109, 75, 111, 83, 119, 88, 124, 100, 136, 93, 129, 79, 115, 90, 126, 78, 114)(74, 110, 80, 116, 89, 125, 77, 113, 85, 121, 98, 134, 91, 127, 96, 132, 82, 118)(76, 112, 84, 120, 97, 133, 101, 137, 108, 144, 105, 141, 92, 128, 103, 139, 87, 123)(81, 117, 94, 130, 102, 138, 86, 122, 99, 135, 107, 143, 104, 140, 106, 142, 95, 131)
	L = (1, 76)(2, 81)(3, 84)(4, 73)(5, 86)(6, 87)(7, 92)(8, 94)(9, 74)(10, 95)(11, 97)(12, 75)(13, 99)(14, 77)(15, 78)(16, 101)(17, 102)(18, 103)(19, 104)(20, 79)(21, 105)(22, 80)(23, 82)(24, 106)(25, 83)(26, 107)(27, 85)(28, 108)(29, 88)(30, 89)(31, 90)(32, 91)(33, 93)(34, 96)(35, 98)(36, 100)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36 ), ( 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.460
Graph:: bipartite
	v = 10 e = 72 f = 8
	degree seq :: [ 12^6, 18^4 ]

E28.457 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 9, 18})
Quotient :: dipole
Aut^+ = C18 x C2 (small group id <36, 5>)
Aut   = C2 x C2 x D18 (small group id <72, 17>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y3 * Y2 * Y3 * Y2^-1, Y1^-1 * Y3 * Y1 * Y3, (R * Y2)^2, Y2^3 * Y1^-2, Y1^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 7, 43, 19, 55, 16, 52, 5, 41)(3, 39, 8, 44, 20, 56, 31, 67, 18, 54, 13, 49)(4, 40, 9, 45, 21, 57, 32, 68, 27, 63, 14, 50)(6, 42, 10, 46, 11, 47, 22, 58, 30, 66, 17, 53)(12, 48, 23, 59, 33, 69, 36, 72, 29, 65, 26, 62)(15, 51, 24, 60, 25, 61, 34, 70, 35, 71, 28, 64)(73, 109, 75, 111, 83, 119, 79, 115, 92, 128, 102, 138, 88, 124, 90, 126, 78, 114)(74, 110, 80, 116, 94, 130, 91, 127, 103, 139, 89, 125, 77, 113, 85, 121, 82, 118)(76, 112, 84, 120, 97, 133, 93, 129, 105, 141, 107, 143, 99, 135, 101, 137, 87, 123)(81, 117, 95, 131, 106, 142, 104, 140, 108, 144, 100, 136, 86, 122, 98, 134, 96, 132)
	L = (1, 76)(2, 81)(3, 84)(4, 73)(5, 86)(6, 87)(7, 93)(8, 95)(9, 74)(10, 96)(11, 97)(12, 75)(13, 98)(14, 77)(15, 78)(16, 99)(17, 100)(18, 101)(19, 104)(20, 105)(21, 79)(22, 106)(23, 80)(24, 82)(25, 83)(26, 85)(27, 88)(28, 89)(29, 90)(30, 107)(31, 108)(32, 91)(33, 92)(34, 94)(35, 102)(36, 103)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36 ), ( 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.461
Graph:: bipartite
	v = 10 e = 72 f = 8
	degree seq :: [ 12^6, 18^4 ]

E28.458 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 9, 18})
Quotient :: dipole
Aut^+ = C18 x C2 (small group id <36, 5>)
Aut   = C2 x C2 x D18 (small group id <72, 17>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y1^2, (Y3 * Y1^-1)^2, (Y3, Y1^-1), (R * Y1)^2, (Y2^-1, Y1^-1), (R * Y3)^2, (R * Y2)^2, (Y2^-1, Y3^-1), Y3 * Y2 * Y3 * Y2^2, Y2 * Y1 * Y2^2 * Y1, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-2, Y3^-2 * Y1^-4, Y3^2 * Y2^-1 * Y3^2 * Y2^-2, (Y2^-1 * Y3)^18 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 23, 59, 18, 54, 5, 41)(3, 39, 9, 45, 21, 57, 29, 65, 33, 69, 15, 51)(4, 40, 10, 46, 24, 60, 20, 56, 7, 43, 12, 48)(6, 42, 11, 47, 25, 61, 31, 67, 13, 49, 19, 55)(14, 50, 26, 62, 35, 71, 34, 70, 16, 52, 27, 63)(17, 53, 28, 64, 32, 68, 36, 72, 22, 58, 30, 66)(73, 109, 75, 111, 85, 121, 90, 126, 105, 141, 97, 133, 80, 116, 93, 129, 78, 114)(74, 110, 81, 117, 91, 127, 77, 113, 87, 123, 103, 139, 95, 131, 101, 137, 83, 119)(76, 112, 86, 122, 94, 130, 79, 115, 88, 124, 104, 140, 96, 132, 107, 143, 89, 125)(82, 118, 98, 134, 102, 138, 84, 120, 99, 135, 108, 144, 92, 128, 106, 142, 100, 136)
	L = (1, 76)(2, 82)(3, 86)(4, 80)(5, 84)(6, 89)(7, 73)(8, 96)(9, 98)(10, 95)(11, 100)(12, 74)(13, 94)(14, 93)(15, 99)(16, 75)(17, 97)(18, 79)(19, 102)(20, 77)(21, 107)(22, 78)(23, 92)(24, 90)(25, 104)(26, 101)(27, 81)(28, 103)(29, 106)(30, 83)(31, 108)(32, 85)(33, 88)(34, 87)(35, 105)(36, 91)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36 ), ( 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.463
Graph:: bipartite
	v = 10 e = 72 f = 8
	degree seq :: [ 12^6, 18^4 ]

E28.459 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 9, 18})
Quotient :: dipole
Aut^+ = C18 x C2 (small group id <36, 5>)
Aut   = C2 x C2 x D18 (small group id <72, 17>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^-2, (Y3, Y1^-1), (R * Y1)^2, (Y1^-1, Y2^-1), (Y2^-1, Y3^-1), (R * Y3)^2, (R * Y2)^2, Y1^-2 * Y2^3, Y3^6, Y1^-6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 23, 59, 18, 54, 5, 41)(3, 39, 9, 45, 24, 60, 34, 70, 21, 57, 15, 51)(4, 40, 10, 46, 25, 61, 20, 56, 7, 43, 12, 48)(6, 42, 11, 47, 13, 49, 26, 62, 33, 69, 19, 55)(14, 50, 27, 63, 36, 72, 32, 68, 16, 52, 28, 64)(17, 53, 29, 65, 31, 67, 35, 71, 22, 58, 30, 66)(73, 109, 75, 111, 85, 121, 80, 116, 96, 132, 105, 141, 90, 126, 93, 129, 78, 114)(74, 110, 81, 117, 98, 134, 95, 131, 106, 142, 91, 127, 77, 113, 87, 123, 83, 119)(76, 112, 86, 122, 103, 139, 97, 133, 108, 144, 94, 130, 79, 115, 88, 124, 89, 125)(82, 118, 99, 135, 107, 143, 92, 128, 104, 140, 102, 138, 84, 120, 100, 136, 101, 137)
	L = (1, 76)(2, 82)(3, 86)(4, 80)(5, 84)(6, 89)(7, 73)(8, 97)(9, 99)(10, 95)(11, 101)(12, 74)(13, 103)(14, 96)(15, 100)(16, 75)(17, 85)(18, 79)(19, 102)(20, 77)(21, 88)(22, 78)(23, 92)(24, 108)(25, 90)(26, 107)(27, 106)(28, 81)(29, 98)(30, 83)(31, 105)(32, 87)(33, 94)(34, 104)(35, 91)(36, 93)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36 ), ( 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.462
Graph:: bipartite
	v = 10 e = 72 f = 8
	degree seq :: [ 12^6, 18^4 ]

E28.460 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 9, 18})
Quotient :: dipole
Aut^+ = C18 x C2 (small group id <36, 5>)
Aut   = C2 x C2 x D18 (small group id <72, 17>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y3 * Y1^-1 * Y3 * Y1, (Y2^-1, Y1^-1), (R * Y1)^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (R * Y2)^2, Y1^-2 * Y3 * Y2^-2 * Y1^-1, Y3 * Y2^2 * Y1^3, Y2^6, Y1^-2 * Y2 * Y1^-1 * Y2^3 * Y3, Y2^2 * Y1^-6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 7, 43, 19, 55, 32, 68, 29, 65, 11, 47, 23, 59, 14, 50, 4, 40, 9, 45, 21, 57, 18, 54, 26, 62, 35, 71, 28, 64, 16, 52, 5, 41)(3, 39, 8, 44, 20, 56, 15, 51, 25, 61, 34, 70, 27, 63, 36, 72, 30, 66, 12, 48, 24, 60, 17, 53, 6, 42, 10, 46, 22, 58, 33, 69, 31, 67, 13, 49)(73, 109, 75, 111, 83, 119, 99, 135, 90, 126, 78, 114)(74, 110, 80, 116, 95, 131, 108, 144, 98, 134, 82, 118)(76, 112, 84, 120, 100, 136, 105, 141, 91, 127, 87, 123)(77, 113, 85, 121, 101, 137, 106, 142, 93, 129, 89, 125)(79, 115, 92, 128, 86, 122, 102, 138, 107, 143, 94, 130)(81, 117, 96, 132, 88, 124, 103, 139, 104, 140, 97, 133)
	L = (1, 76)(2, 81)(3, 84)(4, 73)(5, 86)(6, 87)(7, 93)(8, 96)(9, 74)(10, 97)(11, 100)(12, 75)(13, 102)(14, 77)(15, 78)(16, 95)(17, 92)(18, 91)(19, 90)(20, 89)(21, 79)(22, 106)(23, 88)(24, 80)(25, 82)(26, 104)(27, 105)(28, 83)(29, 107)(30, 85)(31, 108)(32, 98)(33, 99)(34, 94)(35, 101)(36, 103)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18 ), ( 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.456
Graph:: bipartite
	v = 8 e = 72 f = 10
	degree seq :: [ 12^6, 36^2 ]

E28.461 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 9, 18})
Quotient :: dipole
Aut^+ = C18 x C2 (small group id <36, 5>)
Aut   = C2 x C2 x D18 (small group id <72, 17>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y3 * Y1 * Y3, Y2 * Y3 * Y2^-1 * Y3, Y3 * Y1^-1 * Y3 * Y1, (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y2)^2, (R * Y1)^2, Y1^-1 * Y3 * Y1^-1 * Y2^2 * Y1^-1, Y2^6, Y3 * Y2^-2 * Y1^3, Y2^-2 * Y1^-6, Y2^-2 * Y3 * Y1^-2 * Y2^-1 * Y1^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 7, 43, 19, 55, 32, 68, 31, 67, 18, 54, 26, 62, 14, 50, 4, 40, 9, 45, 21, 57, 11, 47, 23, 59, 34, 70, 29, 65, 16, 52, 5, 41)(3, 39, 8, 44, 20, 56, 33, 69, 30, 66, 17, 53, 6, 42, 10, 46, 22, 58, 12, 48, 24, 60, 35, 71, 27, 63, 36, 72, 28, 64, 15, 51, 25, 61, 13, 49)(73, 109, 75, 111, 83, 119, 99, 135, 90, 126, 78, 114)(74, 110, 80, 116, 95, 131, 108, 144, 98, 134, 82, 118)(76, 112, 84, 120, 91, 127, 105, 141, 101, 137, 87, 123)(77, 113, 85, 121, 93, 129, 107, 143, 103, 139, 89, 125)(79, 115, 92, 128, 106, 142, 100, 136, 86, 122, 94, 130)(81, 117, 96, 132, 104, 140, 102, 138, 88, 124, 97, 133)
	L = (1, 76)(2, 81)(3, 84)(4, 73)(5, 86)(6, 87)(7, 93)(8, 96)(9, 74)(10, 97)(11, 91)(12, 75)(13, 94)(14, 77)(15, 78)(16, 98)(17, 100)(18, 101)(19, 83)(20, 107)(21, 79)(22, 85)(23, 104)(24, 80)(25, 82)(26, 88)(27, 105)(28, 89)(29, 90)(30, 108)(31, 106)(32, 95)(33, 99)(34, 103)(35, 92)(36, 102)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18 ), ( 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.457
Graph:: bipartite
	v = 8 e = 72 f = 10
	degree seq :: [ 12^6, 36^2 ]

E28.462 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 9, 18})
Quotient :: dipole
Aut^+ = C18 x C2 (small group id <36, 5>)
Aut   = C2 x C2 x D18 (small group id <72, 17>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1, Y3), Y1^-1 * Y3^-1 * Y1^-2, (R * Y3)^2, Y2^-1 * Y3^-2 * Y2^-1, (Y3 * Y2)^2, (R * Y1)^2, (Y2^-1, Y1^-1), (Y3, Y1), (R * Y2)^2, Y3^-2 * Y2^4, Y1^2 * Y2^-1 * Y1 * Y3^-1 * Y2^-1, (Y3 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 7, 43, 12, 48, 23, 59, 13, 49, 24, 60, 33, 69, 30, 66, 36, 72, 31, 67, 17, 53, 27, 63, 18, 54, 4, 40, 10, 46, 5, 41)(3, 39, 9, 45, 21, 57, 16, 52, 26, 62, 34, 70, 29, 65, 35, 71, 32, 68, 19, 55, 28, 64, 20, 56, 6, 42, 11, 47, 22, 58, 14, 50, 25, 61, 15, 51)(73, 109, 75, 111, 85, 121, 101, 137, 89, 125, 78, 114)(74, 110, 81, 117, 96, 132, 107, 143, 99, 135, 83, 119)(76, 112, 86, 122, 79, 115, 88, 124, 102, 138, 91, 127)(77, 113, 87, 123, 95, 131, 106, 142, 103, 139, 92, 128)(80, 116, 93, 129, 105, 141, 104, 140, 90, 126, 94, 130)(82, 118, 97, 133, 84, 120, 98, 134, 108, 144, 100, 136)
	L = (1, 76)(2, 82)(3, 86)(4, 89)(5, 90)(6, 91)(7, 73)(8, 77)(9, 97)(10, 99)(11, 100)(12, 74)(13, 79)(14, 78)(15, 94)(16, 75)(17, 102)(18, 103)(19, 101)(20, 104)(21, 87)(22, 92)(23, 80)(24, 84)(25, 83)(26, 81)(27, 108)(28, 107)(29, 88)(30, 85)(31, 105)(32, 106)(33, 95)(34, 93)(35, 98)(36, 96)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18 ), ( 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.459
Graph:: bipartite
	v = 8 e = 72 f = 10
	degree seq :: [ 12^6, 36^2 ]

E28.463 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 9, 18})
Quotient :: dipole
Aut^+ = C18 x C2 (small group id <36, 5>)
Aut   = C2 x C2 x D18 (small group id <72, 17>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3^-2, (Y2^-1 * Y3^-1)^2, Y3 * Y1^-3, (R * Y3)^2, (Y1, Y3^-1), (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y2)^2, Y2^-1 * Y1^-2 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y1^-1 * Y3 * Y2^-1 * Y1^-2, Y3^-1 * Y1^-2 * Y2^-2 * Y1^-1, Y2^-2 * Y3^4, Y2^2 * Y1 * Y3^-1 * Y2^2 * Y1 * Y3^-1 * Y2^2 * Y1 * Y3, (Y3 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 4, 40, 10, 46, 22, 58, 17, 53, 27, 63, 33, 69, 31, 67, 36, 72, 30, 66, 13, 49, 24, 60, 20, 56, 7, 43, 12, 48, 5, 41)(3, 39, 9, 45, 21, 57, 14, 50, 25, 61, 19, 55, 6, 42, 11, 47, 23, 59, 18, 54, 28, 64, 34, 70, 29, 65, 35, 71, 32, 68, 16, 52, 26, 62, 15, 51)(73, 109, 75, 111, 85, 121, 101, 137, 89, 125, 78, 114)(74, 110, 81, 117, 96, 132, 107, 143, 99, 135, 83, 119)(76, 112, 86, 122, 79, 115, 88, 124, 103, 139, 90, 126)(77, 113, 87, 123, 102, 138, 106, 142, 94, 130, 91, 127)(80, 116, 93, 129, 92, 128, 104, 140, 105, 141, 95, 131)(82, 118, 97, 133, 84, 120, 98, 134, 108, 144, 100, 136)
	L = (1, 76)(2, 82)(3, 86)(4, 89)(5, 80)(6, 90)(7, 73)(8, 94)(9, 97)(10, 99)(11, 100)(12, 74)(13, 79)(14, 78)(15, 93)(16, 75)(17, 103)(18, 101)(19, 95)(20, 77)(21, 91)(22, 105)(23, 106)(24, 84)(25, 83)(26, 81)(27, 108)(28, 107)(29, 88)(30, 92)(31, 85)(32, 87)(33, 102)(34, 104)(35, 98)(36, 96)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18 ), ( 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.458
Graph:: bipartite
	v = 8 e = 72 f = 10
	degree seq :: [ 12^6, 36^2 ]

E28.464 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 9, 18})
Quotient :: dipole
Aut^+ = C18 x C2 (small group id <36, 5>)
Aut   = C2 x C2 x D18 (small group id <72, 17>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^2, Y2^2 * Y1^2, (Y2 * Y1)^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y2, Y3), (Y2, Y1^-1), Y2^-6 * Y1^3, Y1^9 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 19, 55, 27, 63, 31, 67, 24, 60, 12, 48, 5, 41)(3, 39, 9, 45, 6, 42, 11, 47, 21, 57, 29, 65, 32, 68, 23, 59, 14, 50)(4, 40, 10, 46, 20, 56, 28, 64, 35, 71, 34, 70, 25, 61, 17, 53, 7, 43)(13, 49, 18, 54, 16, 52, 22, 58, 30, 66, 36, 72, 33, 69, 26, 62, 15, 51)(73, 109, 75, 111, 84, 120, 95, 131, 103, 139, 101, 137, 91, 127, 83, 119, 74, 110, 81, 117, 77, 113, 86, 122, 96, 132, 104, 140, 99, 135, 93, 129, 80, 116, 78, 114)(76, 112, 85, 121, 89, 125, 98, 134, 106, 142, 108, 144, 100, 136, 94, 130, 82, 118, 90, 126, 79, 115, 87, 123, 97, 133, 105, 141, 107, 143, 102, 138, 92, 128, 88, 124)
	L = (1, 76)(2, 82)(3, 85)(4, 74)(5, 79)(6, 88)(7, 73)(8, 92)(9, 90)(10, 80)(11, 94)(12, 89)(13, 81)(14, 87)(15, 75)(16, 83)(17, 77)(18, 78)(19, 100)(20, 91)(21, 102)(22, 93)(23, 98)(24, 97)(25, 84)(26, 86)(27, 107)(28, 99)(29, 108)(30, 101)(31, 106)(32, 105)(33, 95)(34, 96)(35, 103)(36, 104)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12^18 ), ( 12^36 ) }
Outer automorphisms :: reflexible
Dual of E28.455
Graph:: bipartite
	v = 6 e = 72 f = 12
	degree seq :: [ 18^4, 36^2 ]

E28.465 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 9, 12, 18})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, (Y1, Y2), Y1^4, (Y3, Y1^-1), (Y3^-1, Y2), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y2 * Y1^-1 * Y3 * Y1^-1, Y3^2 * Y2 * Y1^2, Y1^-1 * Y3 * Y2^-4, Y3 * Y1 * Y2^-1 * Y3 * Y1 * Y2^2, (Y2^-1 * Y3)^12, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 5, 41)(3, 39, 9, 45, 24, 60, 15, 51)(4, 40, 10, 46, 23, 59, 18, 54)(6, 42, 11, 47, 17, 53, 20, 56)(7, 43, 12, 48, 14, 50, 21, 57)(13, 49, 25, 61, 34, 70, 31, 67)(16, 52, 26, 62, 30, 66, 33, 69)(19, 55, 27, 63, 35, 71, 29, 65)(22, 58, 28, 64, 36, 72, 32, 68)(73, 109, 75, 111, 85, 121, 101, 137, 90, 126, 84, 120, 98, 134, 94, 130, 78, 114)(74, 110, 81, 117, 97, 133, 91, 127, 76, 112, 86, 122, 102, 138, 100, 136, 83, 119)(77, 113, 87, 123, 103, 139, 107, 143, 95, 131, 79, 115, 88, 124, 104, 140, 92, 128)(80, 116, 96, 132, 106, 142, 99, 135, 82, 118, 93, 129, 105, 141, 108, 144, 89, 125)
	L = (1, 76)(2, 82)(3, 86)(4, 89)(5, 90)(6, 91)(7, 73)(8, 95)(9, 93)(10, 92)(11, 99)(12, 74)(13, 102)(14, 80)(15, 84)(16, 75)(17, 107)(18, 83)(19, 108)(20, 101)(21, 77)(22, 97)(23, 78)(24, 79)(25, 105)(26, 81)(27, 104)(28, 106)(29, 100)(30, 96)(31, 98)(32, 85)(33, 87)(34, 88)(35, 94)(36, 103)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 24, 36, 24, 36, 24, 36, 24, 36 ), ( 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.471
Graph:: bipartite
	v = 13 e = 72 f = 5
	degree seq :: [ 8^9, 18^4 ]

E28.466 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 9, 12, 18})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-1 * Y2^-1 * Y1, Y2^-2 * Y1 * Y3^-1, Y1^-1 * Y3 * Y2^2, (R * Y1)^2, Y1^4, (Y2^-1, Y1^-1), (R * Y3)^2, (R * Y2)^2, Y3 * Y2^-1 * Y3^3, Y1 * Y3^-1 * Y2^7, (Y1^-1 * Y2 * Y3^-1)^6, (Y3^-1 * Y1^-1)^18 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 5, 41)(3, 39, 9, 45, 21, 57, 13, 49)(4, 40, 10, 46, 22, 58, 16, 52)(6, 42, 11, 47, 23, 59, 18, 54)(7, 43, 12, 48, 24, 60, 19, 55)(14, 50, 25, 61, 33, 69, 29, 65)(15, 51, 26, 62, 34, 70, 30, 66)(17, 53, 27, 63, 35, 71, 31, 67)(20, 56, 28, 64, 36, 72, 32, 68)(73, 109, 75, 111, 84, 120, 97, 133, 108, 144, 106, 142, 103, 139, 88, 124, 78, 114)(74, 110, 81, 117, 96, 132, 105, 141, 104, 140, 102, 138, 89, 125, 76, 112, 83, 119)(77, 113, 85, 121, 79, 115, 86, 122, 100, 136, 98, 134, 107, 143, 94, 130, 90, 126)(80, 116, 93, 129, 91, 127, 101, 137, 92, 128, 87, 123, 99, 135, 82, 118, 95, 131)
	L = (1, 76)(2, 82)(3, 83)(4, 87)(5, 88)(6, 89)(7, 73)(8, 94)(9, 95)(10, 98)(11, 99)(12, 74)(13, 78)(14, 75)(15, 86)(16, 102)(17, 92)(18, 103)(19, 77)(20, 79)(21, 90)(22, 106)(23, 107)(24, 80)(25, 81)(26, 97)(27, 100)(28, 84)(29, 85)(30, 101)(31, 104)(32, 91)(33, 93)(34, 105)(35, 108)(36, 96)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 24, 36, 24, 36, 24, 36, 24, 36 ), ( 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.472
Graph:: bipartite
	v = 13 e = 72 f = 5
	degree seq :: [ 8^9, 18^4 ]

E28.467 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 9, 12, 18})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y2 * Y3^-1, (Y3, Y2), (R * Y1)^2, (Y1^-1, Y2^-1), (Y3, Y1), (R * Y3)^2, (R * Y2)^2, Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1, Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-1, Y3 * Y1 * Y2^-3, Y1^2 * Y3 * Y1 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 24, 60, 23, 59, 14, 50, 30, 66, 19, 55, 5, 41)(3, 39, 9, 45, 25, 61, 21, 57, 7, 43, 12, 48, 28, 64, 32, 68, 15, 51)(4, 40, 10, 46, 26, 62, 20, 56, 6, 42, 11, 47, 27, 63, 33, 69, 17, 53)(13, 49, 29, 65, 35, 71, 22, 58, 16, 52, 31, 67, 36, 72, 34, 70, 18, 54)(73, 109, 75, 111, 85, 121, 82, 118, 102, 138, 100, 136, 108, 144, 105, 141, 96, 132, 93, 129, 94, 130, 78, 114)(74, 110, 81, 117, 101, 137, 98, 134, 91, 127, 104, 140, 106, 142, 89, 125, 95, 131, 79, 115, 88, 124, 83, 119)(76, 112, 86, 122, 84, 120, 103, 139, 99, 135, 80, 116, 97, 133, 107, 143, 92, 128, 77, 113, 87, 123, 90, 126)
	L = (1, 76)(2, 82)(3, 86)(4, 88)(5, 89)(6, 90)(7, 73)(8, 98)(9, 102)(10, 103)(11, 85)(12, 74)(13, 84)(14, 83)(15, 95)(16, 75)(17, 94)(18, 79)(19, 105)(20, 106)(21, 77)(22, 87)(23, 78)(24, 92)(25, 91)(26, 108)(27, 101)(28, 80)(29, 100)(30, 99)(31, 81)(32, 96)(33, 107)(34, 93)(35, 104)(36, 97)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36 ), ( 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.469
Graph:: bipartite
	v = 7 e = 72 f = 11
	degree seq :: [ 18^4, 24^3 ]

E28.468 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 9, 12, 18})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, (Y2, Y3^-1), Y1^2 * Y2^-1 * Y3^-1, Y1^-1 * Y2 * Y1^-1 * Y3, (R * Y2)^2, (Y1^-1, Y3), Y1^-1 * Y2 * Y3 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2^-2 * Y3^2, Y2 * Y3^-1 * Y1 * Y2 * Y3^-1, Y2^-2 * Y3^-6, Y1^-4 * Y3^-4, Y1^9, Y2^12 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 22, 58, 32, 68, 36, 72, 27, 63, 17, 53, 5, 41)(3, 39, 9, 45, 23, 59, 26, 62, 35, 71, 29, 65, 19, 55, 7, 43, 12, 48)(4, 40, 10, 46, 24, 60, 33, 69, 31, 67, 28, 64, 18, 54, 6, 42, 11, 47)(13, 49, 15, 51, 25, 61, 34, 70, 30, 66, 21, 57, 20, 56, 14, 50, 16, 52)(73, 109, 75, 111, 85, 121, 82, 118, 94, 130, 98, 134, 106, 142, 103, 139, 99, 135, 91, 127, 92, 128, 78, 114)(74, 110, 81, 117, 87, 123, 96, 132, 104, 140, 107, 143, 102, 138, 100, 136, 89, 125, 79, 115, 86, 122, 83, 119)(76, 112, 80, 116, 95, 131, 97, 133, 105, 141, 108, 144, 101, 137, 93, 129, 90, 126, 77, 113, 84, 120, 88, 124)
	L = (1, 76)(2, 82)(3, 80)(4, 87)(5, 83)(6, 88)(7, 73)(8, 96)(9, 94)(10, 97)(11, 85)(12, 74)(13, 95)(14, 75)(15, 98)(16, 81)(17, 78)(18, 86)(19, 77)(20, 84)(21, 79)(22, 105)(23, 104)(24, 106)(25, 107)(26, 108)(27, 90)(28, 92)(29, 89)(30, 91)(31, 93)(32, 103)(33, 102)(34, 101)(35, 99)(36, 100)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36 ), ( 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.470
Graph:: bipartite
	v = 7 e = 72 f = 11
	degree seq :: [ 18^4, 24^3 ]

E28.469 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 9, 12, 18})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^2, (R * Y2)^2, (R * Y3)^2, (Y2, Y1^-1), (Y3^-1, Y2), (R * Y1)^2, Y2^4, Y3 * Y2^-1 * Y1^4, Y1^-2 * Y2 * Y1^-1 * Y3^-1 * Y1^-1, (Y2^-1 * Y1 * Y3)^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 21, 57, 15, 51, 13, 49, 26, 62, 35, 71, 29, 65, 12, 48, 25, 61, 34, 70, 32, 68, 20, 56, 16, 52, 27, 63, 17, 53, 5, 41)(3, 39, 9, 45, 22, 58, 33, 69, 30, 66, 28, 64, 36, 72, 31, 67, 18, 54, 6, 42, 11, 47, 24, 60, 19, 55, 7, 43, 4, 40, 10, 46, 23, 59, 14, 50)(73, 109, 75, 111, 84, 120, 78, 114)(74, 110, 81, 117, 97, 133, 83, 119)(76, 112, 85, 121, 100, 136, 88, 124)(77, 113, 86, 122, 101, 137, 90, 126)(79, 115, 87, 123, 102, 138, 92, 128)(80, 116, 94, 130, 106, 142, 96, 132)(82, 118, 98, 134, 108, 144, 99, 135)(89, 125, 95, 131, 107, 143, 103, 139)(91, 127, 93, 129, 105, 141, 104, 140)
	L = (1, 76)(2, 82)(3, 85)(4, 74)(5, 79)(6, 88)(7, 73)(8, 95)(9, 98)(10, 80)(11, 99)(12, 100)(13, 81)(14, 87)(15, 75)(16, 83)(17, 91)(18, 92)(19, 77)(20, 78)(21, 86)(22, 107)(23, 93)(24, 89)(25, 108)(26, 94)(27, 96)(28, 97)(29, 102)(30, 84)(31, 104)(32, 90)(33, 101)(34, 103)(35, 105)(36, 106)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 18, 24, 18, 24, 18, 24, 18, 24 ), ( 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.467
Graph:: bipartite
	v = 11 e = 72 f = 7
	degree seq :: [ 8^9, 36^2 ]

E28.470 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 9, 12, 18})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, (Y2, Y1^-1), Y3 * Y2^-1 * Y1^-2, Y3^-1 * Y1 * Y2 * Y1, (R * Y2)^2, Y2^4, Y1 * Y3^-1 * Y2 * Y1, (R * Y3)^2, (R * Y1)^2, (Y1^-1, Y3^-1), Y2^-1 * Y3^2 * Y1 * Y3^2 * Y2^-1, Y3 * Y1^-1 * Y3^4 * Y2, Y2^-1 * Y3 * Y1 * Y2^-1 * Y3^3, Y1^18, (Y2^-1 * Y3)^9 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 21, 57, 34, 70, 20, 56, 28, 64, 19, 55, 27, 63, 13, 49, 24, 60, 14, 50, 25, 61, 17, 53, 26, 62, 31, 67, 16, 52, 5, 41)(3, 39, 9, 45, 4, 40, 10, 46, 22, 58, 32, 68, 18, 54, 7, 43, 12, 48, 6, 42, 11, 47, 23, 59, 36, 72, 30, 66, 35, 71, 33, 69, 29, 65, 15, 51)(73, 109, 75, 111, 85, 121, 78, 114)(74, 110, 81, 117, 96, 132, 83, 119)(76, 112, 86, 122, 95, 131, 80, 116)(77, 113, 87, 123, 99, 135, 84, 120)(79, 115, 88, 124, 101, 137, 91, 127)(82, 118, 97, 133, 108, 144, 93, 129)(89, 125, 102, 138, 106, 142, 94, 130)(90, 126, 103, 139, 105, 141, 100, 136)(92, 128, 104, 140, 98, 134, 107, 143)
	L = (1, 76)(2, 82)(3, 86)(4, 89)(5, 81)(6, 80)(7, 73)(8, 94)(9, 97)(10, 98)(11, 93)(12, 74)(13, 95)(14, 102)(15, 96)(16, 75)(17, 105)(18, 77)(19, 78)(20, 79)(21, 104)(22, 103)(23, 106)(24, 108)(25, 107)(26, 101)(27, 83)(28, 84)(29, 85)(30, 100)(31, 87)(32, 88)(33, 99)(34, 90)(35, 91)(36, 92)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 18, 24, 18, 24, 18, 24, 18, 24 ), ( 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.468
Graph:: bipartite
	v = 11 e = 72 f = 7
	degree seq :: [ 8^9, 36^2 ]

E28.471 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 9, 12, 18})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3^-1 * Y1^-1, (R * Y1)^2, Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1, Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1, (Y1^-1, Y2), (R * Y3)^2, (R * Y2)^2, Y1^2 * Y2^-3, Y1 * Y2 * Y1 * Y3^-4, (Y2 * Y3^-1)^4, Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y1 * Y2, Y1^12 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 16, 52, 24, 60, 31, 67, 36, 72, 35, 71, 28, 64, 19, 55, 20, 56, 5, 41)(3, 39, 9, 45, 22, 58, 27, 63, 21, 57, 26, 62, 33, 69, 34, 70, 18, 54, 4, 40, 10, 46, 15, 51)(6, 42, 11, 47, 13, 49, 7, 43, 12, 48, 23, 59, 30, 66, 32, 68, 17, 53, 25, 61, 29, 65, 14, 50)(73, 109, 75, 111, 85, 121, 80, 116, 94, 130, 84, 120, 96, 132, 93, 129, 102, 138, 108, 144, 105, 141, 89, 125, 100, 136, 90, 126, 101, 137, 92, 128, 82, 118, 78, 114)(74, 110, 81, 117, 79, 115, 88, 124, 99, 135, 95, 131, 103, 139, 98, 134, 104, 140, 107, 143, 106, 142, 97, 133, 91, 127, 76, 112, 86, 122, 77, 113, 87, 123, 83, 119)
	L = (1, 76)(2, 82)(3, 86)(4, 89)(5, 90)(6, 91)(7, 73)(8, 87)(9, 78)(10, 97)(11, 92)(12, 74)(13, 77)(14, 100)(15, 101)(16, 75)(17, 103)(18, 104)(19, 105)(20, 106)(21, 79)(22, 83)(23, 80)(24, 81)(25, 108)(26, 84)(27, 85)(28, 98)(29, 107)(30, 88)(31, 94)(32, 96)(33, 95)(34, 102)(35, 93)(36, 99)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18 ), ( 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.465
Graph:: bipartite
	v = 5 e = 72 f = 13
	degree seq :: [ 24^3, 36^2 ]

E28.472 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 9, 12, 18})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^-1 * Y3, (Y3^-1, Y1^-1), (Y1^-1, Y2), (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2), (R * Y2)^2, Y2 * Y1^2 * Y2^2, Y1 * Y3 * Y1^2 * Y2^-1, Y1^-1 * Y2^-1 * Y3^2 * Y2 * Y3, (Y2 * Y3^-1)^4 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 16, 52, 26, 62, 35, 71, 36, 72, 29, 65, 33, 69, 18, 54, 19, 55, 5, 41)(3, 39, 9, 45, 22, 58, 27, 63, 34, 70, 23, 59, 28, 64, 32, 68, 17, 53, 4, 40, 10, 46, 15, 51)(6, 42, 11, 47, 21, 57, 7, 43, 12, 48, 24, 60, 31, 67, 14, 50, 25, 61, 30, 66, 13, 49, 20, 56)(73, 109, 75, 111, 85, 121, 91, 127, 82, 118, 97, 133, 105, 141, 89, 125, 103, 139, 108, 144, 100, 136, 84, 120, 98, 134, 106, 142, 93, 129, 80, 116, 94, 130, 78, 114)(74, 110, 81, 117, 92, 128, 77, 113, 87, 123, 102, 138, 90, 126, 76, 112, 86, 122, 101, 137, 104, 140, 96, 132, 107, 143, 95, 131, 79, 115, 88, 124, 99, 135, 83, 119)
	L = (1, 76)(2, 82)(3, 86)(4, 84)(5, 89)(6, 90)(7, 73)(8, 87)(9, 97)(10, 96)(11, 91)(12, 74)(13, 101)(14, 98)(15, 103)(16, 75)(17, 79)(18, 100)(19, 104)(20, 105)(21, 77)(22, 102)(23, 78)(24, 80)(25, 107)(26, 81)(27, 85)(28, 83)(29, 106)(30, 108)(31, 88)(32, 93)(33, 95)(34, 92)(35, 94)(36, 99)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18 ), ( 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.466
Graph:: bipartite
	v = 5 e = 72 f = 13
	degree seq :: [ 24^3, 36^2 ]

E28.473 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 9, 12, 18})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, (Y3, Y2^-1), Y2^2 * Y1 * Y2, Y2^-1 * Y3^-3, (R * Y2)^2, (R * Y1)^2, (Y3, Y1^-1), (R * Y3)^2, Y1^4, (Y3 * Y2^-1)^9, Y1^-1 * Y2 * Y1^-2 * Y2 * Y3 * Y1^-2 * Y2 * Y3 * Y1^-2 * Y2 * Y3 * Y1^-2 * Y2 * Y3 * Y1^-2 * Y2 * Y3 * Y1^-2 * Y2 * Y3 * Y1^-2 * Y2 * Y3 * Y1^-2 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 5, 41)(3, 39, 9, 45, 21, 57, 15, 51)(4, 40, 10, 46, 22, 58, 18, 54)(6, 42, 11, 47, 23, 59, 13, 49)(7, 43, 12, 48, 24, 60, 20, 56)(14, 50, 25, 61, 33, 69, 31, 67)(16, 52, 26, 62, 34, 70, 32, 68)(17, 53, 27, 63, 35, 71, 30, 66)(19, 55, 28, 64, 36, 72, 29, 65)(73, 109, 75, 111, 85, 121, 77, 113, 87, 123, 95, 131, 80, 116, 93, 129, 83, 119, 74, 110, 81, 117, 78, 114)(76, 112, 86, 122, 101, 137, 90, 126, 103, 139, 108, 144, 94, 130, 105, 141, 100, 136, 82, 118, 97, 133, 91, 127)(79, 115, 88, 124, 102, 138, 92, 128, 104, 140, 107, 143, 96, 132, 106, 142, 99, 135, 84, 120, 98, 134, 89, 125)
	L = (1, 76)(2, 82)(3, 86)(4, 89)(5, 90)(6, 91)(7, 73)(8, 94)(9, 97)(10, 99)(11, 100)(12, 74)(13, 101)(14, 79)(15, 103)(16, 75)(17, 78)(18, 102)(19, 98)(20, 77)(21, 105)(22, 107)(23, 108)(24, 80)(25, 84)(26, 81)(27, 83)(28, 106)(29, 88)(30, 85)(31, 92)(32, 87)(33, 96)(34, 93)(35, 95)(36, 104)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 18, 36, 18, 36, 18, 36, 18, 36 ), ( 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.475
Graph:: bipartite
	v = 12 e = 72 f = 6
	degree seq :: [ 8^9, 24^3 ]

E28.474 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 9, 12, 18})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^3, (Y1^-1, Y2^-1), (Y3, Y2^-1), (R * Y1)^2, (Y3^-1, Y1), Y1^4, (R * Y2)^2, (R * Y3)^2, Y2^-1 * Y3^-1 * Y1 * Y2 * Y3 * Y1^-1, Y2^-1 * Y1^-1 * Y3^2 * Y1^-1 * Y3, Y2^-1 * Y1 * Y3^-1 * Y2 * Y1^-1 * Y3, Y3^-2 * Y1^-1 * Y2 * Y3^-1 * Y1^-1, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^2 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 5, 41)(3, 39, 9, 45, 23, 59, 15, 51)(4, 40, 10, 46, 24, 60, 18, 54)(6, 42, 11, 47, 25, 61, 13, 49)(7, 43, 12, 48, 26, 62, 20, 56)(14, 50, 27, 63, 35, 71, 34, 70)(16, 52, 28, 64, 17, 53, 29, 65)(19, 55, 30, 66, 22, 58, 32, 68)(21, 57, 31, 67, 36, 72, 33, 69)(73, 109, 75, 111, 85, 121, 77, 113, 87, 123, 97, 133, 80, 116, 95, 131, 83, 119, 74, 110, 81, 117, 78, 114)(76, 112, 86, 122, 104, 140, 90, 126, 106, 142, 94, 130, 96, 132, 107, 143, 102, 138, 82, 118, 99, 135, 91, 127)(79, 115, 88, 124, 105, 141, 92, 128, 101, 137, 108, 144, 98, 134, 89, 125, 103, 139, 84, 120, 100, 136, 93, 129)
	L = (1, 76)(2, 82)(3, 86)(4, 89)(5, 90)(6, 91)(7, 73)(8, 96)(9, 99)(10, 101)(11, 102)(12, 74)(13, 104)(14, 103)(15, 106)(16, 75)(17, 95)(18, 100)(19, 98)(20, 77)(21, 78)(22, 79)(23, 107)(24, 88)(25, 94)(26, 80)(27, 108)(28, 81)(29, 87)(30, 92)(31, 83)(32, 84)(33, 85)(34, 93)(35, 105)(36, 97)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 18, 36, 18, 36, 18, 36, 18, 36 ), ( 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.476
Graph:: bipartite
	v = 12 e = 72 f = 6
	degree seq :: [ 8^9, 24^3 ]

E28.475 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 9, 12, 18})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-2, (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y1), (Y2^-1, Y1), (R * Y1)^2, Y3 * Y2^-1 * Y3 * Y2^2, Y2^-3 * Y1^-1 * Y2^-1, (Y1 * Y2^-1 * Y1)^2, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^2, Y1^-1 * Y2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 22, 58, 13, 49, 21, 57, 29, 65, 18, 54, 5, 41)(3, 39, 9, 45, 23, 59, 33, 69, 19, 55, 6, 42, 11, 47, 25, 61, 14, 50)(4, 40, 10, 46, 24, 60, 31, 67, 15, 51, 27, 63, 36, 72, 32, 68, 16, 52)(7, 43, 12, 48, 26, 62, 35, 71, 30, 66, 17, 53, 28, 64, 34, 70, 20, 56)(73, 109, 75, 111, 85, 121, 91, 127, 77, 113, 86, 122, 94, 130, 105, 141, 90, 126, 97, 133, 80, 116, 95, 131, 101, 137, 83, 119, 74, 110, 81, 117, 93, 129, 78, 114)(76, 112, 79, 115, 87, 123, 102, 138, 88, 124, 92, 128, 103, 139, 107, 143, 104, 140, 106, 142, 96, 132, 98, 134, 108, 144, 100, 136, 82, 118, 84, 120, 99, 135, 89, 125)
	L = (1, 76)(2, 82)(3, 79)(4, 78)(5, 88)(6, 89)(7, 73)(8, 96)(9, 84)(10, 83)(11, 100)(12, 74)(13, 87)(14, 92)(15, 75)(16, 91)(17, 93)(18, 104)(19, 102)(20, 77)(21, 99)(22, 103)(23, 98)(24, 97)(25, 106)(26, 80)(27, 81)(28, 101)(29, 108)(30, 85)(31, 86)(32, 105)(33, 107)(34, 90)(35, 94)(36, 95)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.473
Graph:: bipartite
	v = 6 e = 72 f = 12
	degree seq :: [ 18^4, 36^2 ]

E28.476 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 9, 12, 18})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1 * Y2, (Y3^-1, Y2), (R * Y3)^2, (R * Y1)^2, (Y3, Y1), (R * Y2)^2, Y2^-1 * Y3^2 * Y1^-2, Y3^-1 * Y2^-1 * Y3^-1 * Y1^3, Y3^6 * Y2 * Y1, Y3^-4 * Y1^-4, Y1^9, (Y2^-1 * Y3)^12 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 22, 58, 32, 68, 36, 72, 27, 63, 17, 53, 5, 41)(3, 39, 9, 45, 14, 50, 25, 61, 34, 70, 30, 66, 21, 57, 18, 54, 6, 42)(4, 40, 10, 46, 23, 59, 33, 69, 31, 67, 29, 65, 20, 56, 13, 49, 15, 51)(7, 43, 11, 47, 16, 52, 12, 48, 24, 60, 26, 62, 35, 71, 28, 64, 19, 55)(73, 109, 75, 111, 74, 110, 81, 117, 80, 116, 86, 122, 94, 130, 97, 133, 104, 140, 106, 142, 108, 144, 102, 138, 99, 135, 93, 129, 89, 125, 90, 126, 77, 113, 78, 114)(76, 112, 84, 120, 82, 118, 96, 132, 95, 131, 98, 134, 105, 141, 107, 143, 103, 139, 100, 136, 101, 137, 91, 127, 92, 128, 79, 115, 85, 121, 83, 119, 87, 123, 88, 124)
	L = (1, 76)(2, 82)(3, 84)(4, 86)(5, 87)(6, 88)(7, 73)(8, 95)(9, 96)(10, 97)(11, 74)(12, 94)(13, 75)(14, 98)(15, 81)(16, 80)(17, 85)(18, 83)(19, 77)(20, 78)(21, 79)(22, 105)(23, 106)(24, 104)(25, 107)(26, 108)(27, 92)(28, 89)(29, 90)(30, 91)(31, 93)(32, 103)(33, 102)(34, 100)(35, 99)(36, 101)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.474
Graph:: bipartite
	v = 6 e = 72 f = 12
	degree seq :: [ 18^4, 36^2 ]

E28.477 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 18, 18, 18})
Quotient :: dipole
Aut^+ = C18 x C2 (small group id <36, 5>)
Aut   = C2 x C2 x D18 (small group id <72, 17>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y2^-1 * Y3^-1)^2, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, Y3^2 * Y2^2, (Y2^-1, Y1^-1), (Y3^-1, Y1^-1), (R * Y2)^2, Y1^-1 * Y3 * Y2^-1 * Y1 * Y3^-1 * Y2, Y3^-1 * Y2 * Y1^-1 * Y2 * Y3^-3, Y1 * Y2^-6, (Y2^2 * Y1)^9, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 8, 44, 14, 50)(4, 40, 9, 45, 17, 53)(6, 42, 10, 46, 19, 55)(7, 43, 11, 47, 20, 56)(12, 48, 21, 57, 27, 63)(13, 49, 22, 58, 29, 65)(15, 51, 23, 59, 30, 66)(16, 52, 24, 60, 32, 68)(18, 54, 25, 61, 34, 70)(26, 62, 35, 71, 33, 69)(28, 64, 36, 72, 31, 67)(73, 109, 75, 111, 84, 120, 98, 134, 96, 132, 82, 118, 74, 110, 80, 116, 93, 129, 107, 143, 104, 140, 91, 127, 77, 113, 86, 122, 99, 135, 105, 141, 88, 124, 78, 114)(76, 112, 85, 121, 79, 115, 87, 123, 100, 136, 97, 133, 81, 117, 94, 130, 83, 119, 95, 131, 108, 144, 106, 142, 89, 125, 101, 137, 92, 128, 102, 138, 103, 139, 90, 126)
	L = (1, 76)(2, 81)(3, 85)(4, 88)(5, 89)(6, 90)(7, 73)(8, 94)(9, 96)(10, 97)(11, 74)(12, 79)(13, 78)(14, 101)(15, 75)(16, 103)(17, 104)(18, 105)(19, 106)(20, 77)(21, 83)(22, 82)(23, 80)(24, 100)(25, 98)(26, 87)(27, 92)(28, 84)(29, 91)(30, 86)(31, 99)(32, 108)(33, 102)(34, 107)(35, 95)(36, 93)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 36^6 ), ( 36^36 ) }
Outer automorphisms :: reflexible
Dual of E28.479
Graph:: bipartite
	v = 14 e = 72 f = 4
	degree seq :: [ 6^12, 36^2 ]

E28.478 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 18, 18, 18})
Quotient :: dipole
Aut^+ = C18 x C2 (small group id <36, 5>)
Aut   = C2 x C2 x D18 (small group id <72, 17>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y3^-1, Y2^-1), (Y3^-1, Y1), (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y2)^2, Y3^2 * Y1^-1 * Y2^2, Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1, Y3^4 * Y2^-2, Y2^6 * Y1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 8, 44, 14, 50)(4, 40, 9, 45, 17, 53)(6, 42, 10, 46, 19, 55)(7, 43, 11, 47, 20, 56)(12, 48, 24, 60, 23, 59)(13, 49, 25, 61, 22, 58)(15, 51, 26, 62, 31, 67)(16, 52, 27, 63, 21, 57)(18, 54, 28, 64, 33, 69)(29, 65, 35, 71, 32, 68)(30, 66, 36, 72, 34, 70)(73, 109, 75, 111, 84, 120, 101, 137, 99, 135, 91, 127, 77, 113, 86, 122, 95, 131, 104, 140, 88, 124, 82, 118, 74, 110, 80, 116, 96, 132, 107, 143, 93, 129, 78, 114)(76, 112, 85, 121, 83, 119, 98, 134, 108, 144, 105, 141, 89, 125, 94, 130, 79, 115, 87, 123, 102, 138, 100, 136, 81, 117, 97, 133, 92, 128, 103, 139, 106, 142, 90, 126)
	L = (1, 76)(2, 81)(3, 85)(4, 88)(5, 89)(6, 90)(7, 73)(8, 97)(9, 99)(10, 100)(11, 74)(12, 83)(13, 82)(14, 94)(15, 75)(16, 102)(17, 93)(18, 104)(19, 105)(20, 77)(21, 106)(22, 78)(23, 79)(24, 92)(25, 91)(26, 80)(27, 108)(28, 101)(29, 98)(30, 84)(31, 86)(32, 87)(33, 107)(34, 95)(35, 103)(36, 96)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 36^6 ), ( 36^36 ) }
Outer automorphisms :: reflexible
Dual of E28.480
Graph:: bipartite
	v = 14 e = 72 f = 4
	degree seq :: [ 6^12, 36^2 ]

E28.479 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 18, 18, 18})
Quotient :: dipole
Aut^+ = C18 x C2 (small group id <36, 5>)
Aut   = C2 x C2 x D18 (small group id <72, 17>)
|r| :: 2
Presentation :: [ R^2, (Y1, Y2), (Y3^-1, Y1^-1), (R * Y1)^2, Y3^2 * Y2^2, (Y3^-1 * Y2^-1)^2, (Y3^-1, Y2^-1), (R * Y2)^2, (R * Y3)^2, Y3 * Y1^-1 * Y3 * Y1^-3, (Y1^-1 * Y3^-1)^3, Y3^-1 * Y2^2 * Y3^-1 * Y1 * Y3^-1, Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-2, Y2^-1 * Y3 * Y1^3 * Y2^-1, Y2^-1 * Y3 * Y2^-3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 23, 59, 17, 53, 31, 67, 22, 58, 7, 43, 12, 48, 27, 63, 18, 54, 4, 40, 10, 46, 25, 61, 13, 49, 28, 64, 20, 56, 5, 41)(3, 39, 9, 45, 24, 60, 21, 57, 6, 42, 11, 47, 26, 62, 16, 52, 30, 66, 36, 72, 34, 70, 14, 50, 29, 65, 35, 71, 33, 69, 19, 55, 32, 68, 15, 51)(73, 109, 75, 111, 85, 121, 105, 141, 90, 126, 106, 142, 94, 130, 98, 134, 80, 116, 96, 132, 92, 128, 104, 140, 82, 118, 101, 137, 84, 120, 102, 138, 89, 125, 78, 114)(74, 110, 81, 117, 100, 136, 91, 127, 76, 112, 86, 122, 79, 115, 88, 124, 95, 131, 93, 129, 77, 113, 87, 123, 97, 133, 107, 143, 99, 135, 108, 144, 103, 139, 83, 119)
	L = (1, 76)(2, 82)(3, 86)(4, 89)(5, 90)(6, 91)(7, 73)(8, 97)(9, 101)(10, 103)(11, 104)(12, 74)(13, 79)(14, 78)(15, 106)(16, 75)(17, 100)(18, 95)(19, 102)(20, 99)(21, 105)(22, 77)(23, 85)(24, 107)(25, 94)(26, 87)(27, 80)(28, 84)(29, 83)(30, 81)(31, 92)(32, 108)(33, 88)(34, 93)(35, 98)(36, 96)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.477
Graph:: bipartite
	v = 4 e = 72 f = 14
	degree seq :: [ 36^4 ]

E28.480 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 18, 18, 18})
Quotient :: dipole
Aut^+ = C18 x C2 (small group id <36, 5>)
Aut   = C2 x C2 x D18 (small group id <72, 17>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1 * Y2^-1)^2, (Y1, Y3^-1), (R * Y1)^2, Y3^2 * Y2^2, (Y3^-1, Y2^-1), (Y2^-1, Y1^-1), (R * Y3)^2, (R * Y2)^2, Y1^-5 * Y3, Y3^-1 * Y2^2 * Y1^-3, Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y1^-1, Y2^-4 * Y1^-2, Y2^-1 * Y3 * Y1 * Y2 * Y3^-1 * Y1^-1, Y2^-1 * Y3^-1 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y1^-1 * Y3 * Y2^-2 * Y3 * Y1^-1, Y3^18, Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 23, 59, 18, 54, 4, 40, 10, 46, 25, 61, 13, 49, 28, 64, 17, 53, 31, 67, 22, 58, 7, 43, 12, 48, 27, 63, 20, 56, 5, 41)(3, 39, 9, 45, 24, 60, 35, 71, 34, 70, 14, 50, 29, 65, 36, 72, 33, 69, 21, 57, 6, 42, 11, 47, 26, 62, 16, 52, 30, 66, 19, 55, 32, 68, 15, 51)(73, 109, 75, 111, 85, 121, 105, 141, 92, 128, 104, 140, 82, 118, 101, 137, 84, 120, 102, 138, 90, 126, 106, 142, 94, 130, 98, 134, 80, 116, 96, 132, 89, 125, 78, 114)(74, 110, 81, 117, 100, 136, 93, 129, 77, 113, 87, 123, 97, 133, 108, 144, 99, 135, 91, 127, 76, 112, 86, 122, 79, 115, 88, 124, 95, 131, 107, 143, 103, 139, 83, 119)
	L = (1, 76)(2, 82)(3, 86)(4, 89)(5, 90)(6, 91)(7, 73)(8, 97)(9, 101)(10, 103)(11, 104)(12, 74)(13, 79)(14, 78)(15, 106)(16, 75)(17, 99)(18, 100)(19, 96)(20, 95)(21, 102)(22, 77)(23, 85)(24, 108)(25, 94)(26, 87)(27, 80)(28, 84)(29, 83)(30, 81)(31, 92)(32, 107)(33, 88)(34, 93)(35, 105)(36, 98)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.478
Graph:: bipartite
	v = 4 e = 72 f = 14
	degree seq :: [ 36^4 ]

E28.481 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 9, 9, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2, R * Y2 * R * Y3^-1, (R * Y1)^2, (Y1, Y3^-1), (Y1, Y2^-1), Y1^4, Y2^9, (Y3 * Y2^-1)^9, Y3^-36 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 6, 42, 5, 41)(3, 39, 7, 43, 13, 49, 10, 46)(4, 40, 8, 44, 14, 50, 12, 48)(9, 45, 15, 51, 21, 57, 18, 54)(11, 47, 16, 52, 22, 58, 20, 56)(17, 53, 23, 59, 29, 65, 26, 62)(19, 55, 24, 60, 30, 66, 28, 64)(25, 61, 31, 67, 35, 71, 33, 69)(27, 63, 32, 68, 36, 72, 34, 70)(73, 109, 75, 111, 81, 117, 89, 125, 97, 133, 99, 135, 91, 127, 83, 119, 76, 112)(74, 110, 79, 115, 87, 123, 95, 131, 103, 139, 104, 140, 96, 132, 88, 124, 80, 116)(77, 113, 82, 118, 90, 126, 98, 134, 105, 141, 106, 142, 100, 136, 92, 128, 84, 120)(78, 114, 85, 121, 93, 129, 101, 137, 107, 143, 108, 144, 102, 138, 94, 130, 86, 122)
	L = (1, 76)(2, 80)(3, 73)(4, 83)(5, 84)(6, 86)(7, 74)(8, 88)(9, 75)(10, 77)(11, 91)(12, 92)(13, 78)(14, 94)(15, 79)(16, 96)(17, 81)(18, 82)(19, 99)(20, 100)(21, 85)(22, 102)(23, 87)(24, 104)(25, 89)(26, 90)(27, 97)(28, 106)(29, 93)(30, 108)(31, 95)(32, 103)(33, 98)(34, 105)(35, 101)(36, 107)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 18, 72, 18, 72, 18, 72, 18, 72 ), ( 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72 ) }
Outer automorphisms :: reflexible
Dual of E28.487
Graph:: bipartite
	v = 13 e = 72 f = 5
	degree seq :: [ 8^9, 18^4 ]

E28.482 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 9, 9, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3, (Y2^-1, Y1), (R * Y3)^2, (R * Y2)^2, Y1^4, (R * Y1)^2, (Y3^-1, Y1^-1), Y2 * Y3^4, Y2 * Y3^4 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 5, 41)(3, 39, 9, 45, 21, 57, 14, 50)(4, 40, 10, 46, 22, 58, 16, 52)(6, 42, 11, 47, 23, 59, 17, 53)(7, 43, 12, 48, 24, 60, 18, 54)(13, 49, 25, 61, 33, 69, 29, 65)(15, 51, 26, 62, 34, 70, 30, 66)(19, 55, 27, 63, 35, 71, 31, 67)(20, 56, 28, 64, 36, 72, 32, 68)(73, 109, 75, 111, 76, 112, 85, 121, 87, 123, 92, 128, 91, 127, 79, 115, 78, 114)(74, 110, 81, 117, 82, 118, 97, 133, 98, 134, 100, 136, 99, 135, 84, 120, 83, 119)(77, 113, 86, 122, 88, 124, 101, 137, 102, 138, 104, 140, 103, 139, 90, 126, 89, 125)(80, 116, 93, 129, 94, 130, 105, 141, 106, 142, 108, 144, 107, 143, 96, 132, 95, 131)
	L = (1, 76)(2, 82)(3, 85)(4, 87)(5, 88)(6, 75)(7, 73)(8, 94)(9, 97)(10, 98)(11, 81)(12, 74)(13, 92)(14, 101)(15, 91)(16, 102)(17, 86)(18, 77)(19, 78)(20, 79)(21, 105)(22, 106)(23, 93)(24, 80)(25, 100)(26, 99)(27, 83)(28, 84)(29, 104)(30, 103)(31, 89)(32, 90)(33, 108)(34, 107)(35, 95)(36, 96)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 18, 72, 18, 72, 18, 72, 18, 72 ), ( 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72 ) }
Outer automorphisms :: reflexible
Dual of E28.488
Graph:: bipartite
	v = 13 e = 72 f = 5
	degree seq :: [ 8^9, 18^4 ]

E28.483 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 9, 9, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-2, (R * Y3)^2, (R * Y2)^2, (Y1, Y3), (Y1, Y2^-1), (R * Y1)^2, Y1^4, Y2^-4 * Y3^-1, Y1^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 5, 41)(3, 39, 9, 45, 21, 57, 15, 51)(4, 40, 10, 46, 22, 58, 16, 52)(6, 42, 11, 47, 23, 59, 17, 53)(7, 43, 12, 48, 24, 60, 18, 54)(13, 49, 25, 61, 33, 69, 29, 65)(14, 50, 26, 62, 34, 70, 30, 66)(19, 55, 27, 63, 35, 71, 31, 67)(20, 56, 28, 64, 36, 72, 32, 68)(73, 109, 75, 111, 85, 121, 92, 128, 79, 115, 76, 112, 86, 122, 91, 127, 78, 114)(74, 110, 81, 117, 97, 133, 100, 136, 84, 120, 82, 118, 98, 134, 99, 135, 83, 119)(77, 113, 87, 123, 101, 137, 104, 140, 90, 126, 88, 124, 102, 138, 103, 139, 89, 125)(80, 116, 93, 129, 105, 141, 108, 144, 96, 132, 94, 130, 106, 142, 107, 143, 95, 131)
	L = (1, 76)(2, 82)(3, 86)(4, 75)(5, 88)(6, 79)(7, 73)(8, 94)(9, 98)(10, 81)(11, 84)(12, 74)(13, 91)(14, 85)(15, 102)(16, 87)(17, 90)(18, 77)(19, 92)(20, 78)(21, 106)(22, 93)(23, 96)(24, 80)(25, 99)(26, 97)(27, 100)(28, 83)(29, 103)(30, 101)(31, 104)(32, 89)(33, 107)(34, 105)(35, 108)(36, 95)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 18, 72, 18, 72, 18, 72, 18, 72 ), ( 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72 ) }
Outer automorphisms :: reflexible
Dual of E28.486
Graph:: bipartite
	v = 13 e = 72 f = 5
	degree seq :: [ 8^9, 18^4 ]

E28.484 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 9, 9, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^2, (Y3, Y1^-1), (Y2^-1, Y3^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1 * Y2^-4, Y2^-2 * Y3^4, Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2, Y3^-1 * Y1 * Y3^-1 * Y2^-1 * Y3^-2 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 6, 42, 9, 45, 19, 55, 11, 47, 13, 49, 3, 39, 5, 41)(4, 40, 8, 44, 17, 53, 23, 59, 33, 69, 26, 62, 29, 65, 12, 48, 16, 52)(7, 43, 10, 46, 20, 56, 24, 60, 35, 71, 27, 63, 30, 66, 14, 50, 18, 54)(15, 51, 22, 58, 31, 67, 34, 70, 21, 57, 25, 61, 36, 72, 28, 64, 32, 68)(73, 109, 75, 111, 83, 119, 81, 117, 74, 110, 77, 113, 85, 121, 91, 127, 78, 114)(76, 112, 84, 120, 98, 134, 95, 131, 80, 116, 88, 124, 101, 137, 105, 141, 89, 125)(79, 115, 86, 122, 99, 135, 96, 132, 82, 118, 90, 126, 102, 138, 107, 143, 92, 128)(87, 123, 100, 136, 97, 133, 106, 142, 94, 130, 104, 140, 108, 144, 93, 129, 103, 139)
	L = (1, 76)(2, 80)(3, 84)(4, 87)(5, 88)(6, 89)(7, 73)(8, 94)(9, 95)(10, 74)(11, 98)(12, 100)(13, 101)(14, 75)(15, 99)(16, 104)(17, 103)(18, 77)(19, 105)(20, 78)(21, 79)(22, 102)(23, 106)(24, 81)(25, 82)(26, 97)(27, 83)(28, 96)(29, 108)(30, 85)(31, 86)(32, 107)(33, 93)(34, 90)(35, 91)(36, 92)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72 ) }
Outer automorphisms :: reflexible
Dual of E28.485
Graph:: bipartite
	v = 8 e = 72 f = 10
	degree seq :: [ 18^8 ]

E28.485 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 9, 9, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^2 * Y2, (Y2^-1, Y1^-1), Y3 * Y2 * Y1^2, (R * Y2)^2, Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y2^4, Y3^4 * Y1 * Y3, Y2^-1 * Y1 * Y3^-1 * Y2 * Y1^-1 * Y3, Y3^2 * Y1^-1 * Y3^2 * Y2^-1, Y1^-1 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y1^-1, Y1^3 * Y3^-3 * Y2^-2, Y1^-2 * Y3 * Y1^-5 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 21, 57, 33, 69, 30, 66, 18, 54, 4, 40, 10, 46, 6, 42, 11, 47, 22, 58, 34, 70, 32, 68, 17, 53, 26, 62, 19, 55, 27, 63, 13, 49, 24, 60, 16, 52, 25, 61, 20, 56, 28, 64, 36, 72, 29, 65, 15, 51, 3, 39, 9, 45, 7, 43, 12, 48, 23, 59, 35, 71, 31, 67, 14, 50, 5, 41)(73, 109, 75, 111, 85, 121, 78, 114)(74, 110, 81, 117, 96, 132, 83, 119)(76, 112, 86, 122, 101, 137, 91, 127)(77, 113, 87, 123, 99, 135, 82, 118)(79, 115, 88, 124, 94, 130, 80, 116)(84, 120, 97, 133, 106, 142, 93, 129)(89, 125, 102, 138, 107, 143, 100, 136)(90, 126, 103, 139, 108, 144, 98, 134)(92, 128, 104, 140, 105, 141, 95, 131)
	L = (1, 76)(2, 82)(3, 86)(4, 89)(5, 90)(6, 91)(7, 73)(8, 78)(9, 77)(10, 98)(11, 99)(12, 74)(13, 101)(14, 102)(15, 103)(16, 75)(17, 97)(18, 104)(19, 100)(20, 79)(21, 83)(22, 85)(23, 80)(24, 87)(25, 81)(26, 92)(27, 108)(28, 84)(29, 107)(30, 106)(31, 105)(32, 88)(33, 94)(34, 96)(35, 93)(36, 95)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 18^8 ), ( 18^72 ) }
Outer automorphisms :: reflexible
Dual of E28.484
Graph:: bipartite
	v = 10 e = 72 f = 8
	degree seq :: [ 8^9, 72 ]

E28.486 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 9, 9, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, (Y1, Y2^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^-4 * Y2^4, (Y3 * Y2^-1)^4, Y1^5 * Y2^4, (Y3^-1 * Y1^-1)^9, Y2^36 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 6, 42, 14, 50, 26, 62, 33, 69, 22, 58, 11, 47, 4, 40)(3, 39, 7, 43, 15, 51, 27, 63, 36, 72, 25, 61, 32, 68, 21, 57, 10, 46)(5, 41, 8, 44, 16, 52, 28, 64, 19, 55, 31, 67, 34, 70, 23, 59, 12, 48)(9, 45, 17, 53, 29, 65, 35, 71, 24, 60, 13, 49, 18, 54, 30, 66, 20, 56)(73, 109, 75, 111, 81, 117, 91, 127, 98, 134, 108, 144, 96, 132, 84, 120, 76, 112, 82, 118, 92, 128, 100, 136, 86, 122, 99, 135, 107, 143, 95, 131, 83, 119, 93, 129, 102, 138, 88, 124, 78, 114, 87, 123, 101, 137, 106, 142, 94, 130, 104, 140, 90, 126, 80, 116, 74, 110, 79, 115, 89, 125, 103, 139, 105, 141, 97, 133, 85, 121, 77, 113)
	L = (1, 74)(2, 78)(3, 79)(4, 73)(5, 80)(6, 86)(7, 87)(8, 88)(9, 89)(10, 75)(11, 76)(12, 77)(13, 90)(14, 98)(15, 99)(16, 100)(17, 101)(18, 102)(19, 103)(20, 81)(21, 82)(22, 83)(23, 84)(24, 85)(25, 104)(26, 105)(27, 108)(28, 91)(29, 107)(30, 92)(31, 106)(32, 93)(33, 94)(34, 95)(35, 96)(36, 97)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18 ), ( 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.483
Graph:: bipartite
	v = 5 e = 72 f = 13
	degree seq :: [ 18^4, 72 ]

E28.487 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 9, 9, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y1^-1, (Y1, Y2), (R * Y2)^2, (R * Y1)^2, (Y3^-1, Y2), (R * Y3)^2, Y1^-4 * Y3, Y2 * Y1 * Y2 * Y1 * Y2^2, (Y2^-1 * Y3)^4 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 16, 52, 4, 40, 7, 43, 11, 47, 18, 54, 5, 41)(3, 39, 9, 45, 22, 58, 32, 68, 13, 49, 15, 51, 25, 61, 33, 69, 14, 50)(6, 42, 10, 46, 23, 59, 34, 70, 17, 53, 21, 57, 27, 63, 28, 64, 19, 55)(12, 48, 24, 60, 20, 56, 26, 62, 29, 65, 31, 67, 35, 71, 36, 72, 30, 66)(73, 109, 75, 111, 84, 120, 100, 136, 90, 126, 105, 141, 108, 144, 93, 129, 79, 115, 87, 123, 103, 139, 106, 142, 88, 124, 104, 140, 98, 134, 82, 118, 74, 110, 81, 117, 96, 132, 91, 127, 77, 113, 86, 122, 102, 138, 99, 135, 83, 119, 97, 133, 107, 143, 89, 125, 76, 112, 85, 121, 101, 137, 95, 131, 80, 116, 94, 130, 92, 128, 78, 114)
	L = (1, 76)(2, 79)(3, 85)(4, 77)(5, 88)(6, 89)(7, 73)(8, 83)(9, 87)(10, 93)(11, 74)(12, 101)(13, 86)(14, 104)(15, 75)(16, 90)(17, 91)(18, 80)(19, 106)(20, 107)(21, 78)(22, 97)(23, 99)(24, 103)(25, 81)(26, 108)(27, 82)(28, 95)(29, 102)(30, 98)(31, 84)(32, 105)(33, 94)(34, 100)(35, 96)(36, 92)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18 ), ( 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.481
Graph:: bipartite
	v = 5 e = 72 f = 13
	degree seq :: [ 18^4, 72 ]

E28.488 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 9, 9, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-2, Y1^-2 * Y3^-1, (Y2, Y3^-1), (Y1^-1, Y2^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1 * Y2^-4, Y1 * Y3^-4, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 7, 43, 10, 46, 21, 57, 15, 51, 16, 52, 4, 40, 5, 41)(3, 39, 8, 44, 14, 50, 23, 59, 29, 65, 27, 63, 28, 64, 12, 48, 13, 49)(6, 42, 9, 45, 20, 56, 24, 60, 33, 69, 30, 66, 31, 67, 17, 53, 18, 54)(11, 47, 22, 58, 26, 62, 34, 70, 36, 72, 35, 71, 32, 68, 25, 61, 19, 55)(73, 109, 75, 111, 83, 119, 81, 117, 74, 110, 80, 116, 94, 130, 92, 128, 79, 115, 86, 122, 98, 134, 96, 132, 82, 118, 95, 131, 106, 142, 105, 141, 93, 129, 101, 137, 108, 144, 102, 138, 87, 123, 99, 135, 107, 143, 103, 139, 88, 124, 100, 136, 104, 140, 89, 125, 76, 112, 84, 120, 97, 133, 90, 126, 77, 113, 85, 121, 91, 127, 78, 114)
	L = (1, 76)(2, 77)(3, 84)(4, 87)(5, 88)(6, 89)(7, 73)(8, 85)(9, 90)(10, 74)(11, 97)(12, 99)(13, 100)(14, 75)(15, 82)(16, 93)(17, 102)(18, 103)(19, 104)(20, 78)(21, 79)(22, 91)(23, 80)(24, 81)(25, 107)(26, 83)(27, 95)(28, 101)(29, 86)(30, 96)(31, 105)(32, 108)(33, 92)(34, 94)(35, 106)(36, 98)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18 ), ( 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.482
Graph:: bipartite
	v = 5 e = 72 f = 13
	degree seq :: [ 18^4, 72 ]

E28.489 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 18, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1, Y1^-1), Y1^4, (Y2^-1, Y3), (Y3^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2^-3 * Y1^2, Y2^-2 * Y3^3, Y3 * Y1^-1 * Y3^2 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 5, 41)(3, 39, 9, 45, 22, 58, 15, 51)(4, 40, 10, 46, 25, 61, 18, 54)(6, 42, 11, 47, 13, 49, 20, 56)(7, 43, 12, 48, 26, 62, 21, 57)(14, 50, 27, 63, 24, 60, 32, 68)(16, 52, 28, 64, 36, 72, 34, 70)(17, 53, 29, 65, 23, 59, 31, 67)(19, 55, 30, 66, 33, 69, 35, 71)(73, 109, 75, 111, 85, 121, 80, 116, 94, 130, 78, 114)(74, 110, 81, 117, 92, 128, 77, 113, 87, 123, 83, 119)(76, 112, 86, 122, 105, 141, 97, 133, 96, 132, 91, 127)(79, 115, 88, 124, 89, 125, 98, 134, 108, 144, 95, 131)(82, 118, 99, 135, 107, 143, 90, 126, 104, 140, 102, 138)(84, 120, 100, 136, 101, 137, 93, 129, 106, 142, 103, 139)
	L = (1, 76)(2, 82)(3, 86)(4, 89)(5, 90)(6, 91)(7, 73)(8, 97)(9, 99)(10, 101)(11, 102)(12, 74)(13, 105)(14, 98)(15, 104)(16, 75)(17, 85)(18, 103)(19, 88)(20, 107)(21, 77)(22, 96)(23, 78)(24, 79)(25, 95)(26, 80)(27, 93)(28, 81)(29, 92)(30, 100)(31, 83)(32, 84)(33, 108)(34, 87)(35, 106)(36, 94)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 36, 72, 36, 72, 36, 72, 36, 72 ), ( 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72 ) }
Outer automorphisms :: reflexible
Dual of E28.496
Graph:: bipartite
	v = 15 e = 72 f = 3
	degree seq :: [ 8^9, 12^6 ]

E28.490 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 18, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, (Y3, Y2^-1), (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y1), (R * Y1)^2, (Y2^-1, Y1^-1), Y1^4, Y3^3 * Y2^2, Y2^3 * Y1^2, Y3^2 * Y2^-1 * Y3 * Y1^2, Y3^-1 * Y2 * Y1^-1 * Y3^-2 * Y1^-1, Y2 * Y3^-1 * Y2^2 * Y3^-1 * Y2^2 * Y3^-1 * Y2^2 * Y3^-1 * Y2^2 * Y3^-1 * Y2^2 * Y3^-1 * Y1^-2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 5, 41)(3, 39, 9, 45, 22, 58, 15, 51)(4, 40, 10, 46, 25, 61, 18, 54)(6, 42, 11, 47, 13, 49, 20, 56)(7, 43, 12, 48, 26, 62, 21, 57)(14, 50, 27, 63, 35, 71, 34, 70)(16, 52, 28, 64, 17, 53, 29, 65)(19, 55, 30, 66, 24, 60, 32, 68)(23, 59, 31, 67, 33, 69, 36, 72)(73, 109, 75, 111, 85, 121, 80, 116, 94, 130, 78, 114)(74, 110, 81, 117, 92, 128, 77, 113, 87, 123, 83, 119)(76, 112, 86, 122, 96, 132, 97, 133, 107, 143, 91, 127)(79, 115, 88, 124, 105, 141, 98, 134, 89, 125, 95, 131)(82, 118, 99, 135, 104, 140, 90, 126, 106, 142, 102, 138)(84, 120, 100, 136, 108, 144, 93, 129, 101, 137, 103, 139)
	L = (1, 76)(2, 82)(3, 86)(4, 89)(5, 90)(6, 91)(7, 73)(8, 97)(9, 99)(10, 101)(11, 102)(12, 74)(13, 96)(14, 95)(15, 106)(16, 75)(17, 94)(18, 100)(19, 98)(20, 104)(21, 77)(22, 107)(23, 78)(24, 79)(25, 88)(26, 80)(27, 103)(28, 81)(29, 87)(30, 93)(31, 83)(32, 84)(33, 85)(34, 108)(35, 105)(36, 92)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 36, 72, 36, 72, 36, 72, 36, 72 ), ( 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72 ) }
Outer automorphisms :: reflexible
Dual of E28.495
Graph:: bipartite
	v = 15 e = 72 f = 3
	degree seq :: [ 8^9, 12^6 ]

E28.491 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 18, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^2, Y2^3 * Y1^-1, (Y2^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (Y2, Y3), (R * Y2)^2, Y1^6, (Y3^-1 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 20, 56, 16, 52, 5, 41)(3, 39, 9, 45, 21, 57, 31, 67, 26, 62, 13, 49)(4, 40, 10, 46, 22, 58, 29, 65, 18, 54, 7, 43)(6, 42, 11, 47, 23, 59, 32, 68, 28, 64, 17, 53)(12, 48, 24, 60, 33, 69, 35, 71, 27, 63, 14, 50)(15, 51, 25, 61, 34, 70, 36, 72, 30, 66, 19, 55)(73, 109, 75, 111, 83, 119, 74, 110, 81, 117, 95, 131, 80, 116, 93, 129, 104, 140, 92, 128, 103, 139, 100, 136, 88, 124, 98, 134, 89, 125, 77, 113, 85, 121, 78, 114)(76, 112, 84, 120, 97, 133, 82, 118, 96, 132, 106, 142, 94, 130, 105, 141, 108, 144, 101, 137, 107, 143, 102, 138, 90, 126, 99, 135, 91, 127, 79, 115, 86, 122, 87, 123)
	L = (1, 76)(2, 82)(3, 84)(4, 74)(5, 79)(6, 87)(7, 73)(8, 94)(9, 96)(10, 80)(11, 97)(12, 81)(13, 86)(14, 75)(15, 83)(16, 90)(17, 91)(18, 77)(19, 78)(20, 101)(21, 105)(22, 92)(23, 106)(24, 93)(25, 95)(26, 99)(27, 85)(28, 102)(29, 88)(30, 89)(31, 107)(32, 108)(33, 103)(34, 104)(35, 98)(36, 100)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72 ), ( 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72 ) }
Outer automorphisms :: reflexible
Dual of E28.493
Graph:: bipartite
	v = 8 e = 72 f = 10
	degree seq :: [ 12^6, 36^2 ]

E28.492 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 18, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^2, (Y2^-1, Y3), Y1^-1 * Y2^-3, (Y1^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1^6, (Y3^-1 * Y1^-1)^4, (Y2^-1 * Y3)^36 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 20, 56, 17, 53, 5, 41)(3, 39, 9, 45, 21, 57, 31, 67, 28, 64, 14, 50)(4, 40, 10, 46, 22, 58, 30, 66, 18, 54, 7, 43)(6, 42, 11, 47, 23, 59, 32, 68, 26, 62, 12, 48)(13, 49, 24, 60, 33, 69, 36, 72, 29, 65, 15, 51)(16, 52, 25, 61, 34, 70, 35, 71, 27, 63, 19, 55)(73, 109, 75, 111, 84, 120, 77, 113, 86, 122, 98, 134, 89, 125, 100, 136, 104, 140, 92, 128, 103, 139, 95, 131, 80, 116, 93, 129, 83, 119, 74, 110, 81, 117, 78, 114)(76, 112, 85, 121, 91, 127, 79, 115, 87, 123, 99, 135, 90, 126, 101, 137, 107, 143, 102, 138, 108, 144, 106, 142, 94, 130, 105, 141, 97, 133, 82, 118, 96, 132, 88, 124)
	L = (1, 76)(2, 82)(3, 85)(4, 74)(5, 79)(6, 88)(7, 73)(8, 94)(9, 96)(10, 80)(11, 97)(12, 91)(13, 81)(14, 87)(15, 75)(16, 83)(17, 90)(18, 77)(19, 78)(20, 102)(21, 105)(22, 92)(23, 106)(24, 93)(25, 95)(26, 99)(27, 84)(28, 101)(29, 86)(30, 89)(31, 108)(32, 107)(33, 103)(34, 104)(35, 98)(36, 100)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72 ), ( 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72 ) }
Outer automorphisms :: reflexible
Dual of E28.494
Graph:: bipartite
	v = 8 e = 72 f = 10
	degree seq :: [ 12^6, 36^2 ]

E28.493 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 18, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^3 * Y2^-1, Y1^-1 * Y3^-1 * Y1^-2, (R * Y2)^2, (Y2^-1, Y1^-1), (Y3^-1, Y2^-1), (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y1)^2, Y2^4, Y1^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y1^-1, Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-2 * Y1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 7, 43, 12, 48, 23, 59, 18, 54, 27, 63, 19, 55, 6, 42, 11, 47, 22, 58, 20, 56, 28, 64, 34, 70, 29, 65, 35, 71, 30, 66, 13, 49, 24, 60, 33, 69, 31, 67, 36, 72, 32, 68, 14, 50, 25, 61, 15, 51, 3, 39, 9, 45, 21, 57, 16, 52, 26, 62, 17, 53, 4, 40, 10, 46, 5, 41)(73, 109, 75, 111, 85, 121, 78, 114)(74, 110, 81, 117, 96, 132, 83, 119)(76, 112, 86, 122, 101, 137, 90, 126)(77, 113, 87, 123, 102, 138, 91, 127)(79, 115, 88, 124, 103, 139, 92, 128)(80, 116, 93, 129, 105, 141, 94, 130)(82, 118, 97, 133, 107, 143, 99, 135)(84, 120, 98, 134, 108, 144, 100, 136)(89, 125, 104, 140, 106, 142, 95, 131)
	L = (1, 76)(2, 82)(3, 86)(4, 88)(5, 89)(6, 90)(7, 73)(8, 77)(9, 97)(10, 98)(11, 99)(12, 74)(13, 101)(14, 103)(15, 104)(16, 75)(17, 93)(18, 79)(19, 95)(20, 78)(21, 87)(22, 91)(23, 80)(24, 107)(25, 108)(26, 81)(27, 84)(28, 83)(29, 92)(30, 106)(31, 85)(32, 105)(33, 102)(34, 94)(35, 100)(36, 96)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12, 36, 12, 36, 12, 36, 12, 36 ), ( 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.491
Graph:: bipartite
	v = 10 e = 72 f = 8
	degree seq :: [ 8^9, 72 ]

E28.494 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 18, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^-3 * Y2, (Y3^-1, Y1^-1), (Y2, Y1), Y2^4, (R * Y1)^2, (R * Y2)^2, (Y3, Y2), (R * Y3)^2, Y1^-1 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-2 * Y1^-1 * Y3 * Y1^-2, Y2^-2 * Y3^-1 * Y1^-1 * Y2 * Y1^-2 * Y3^-1, Y1^30 * Y2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 23, 59, 35, 71, 34, 70, 16, 52, 30, 66, 20, 56, 6, 42, 11, 47, 26, 62, 14, 50, 29, 65, 21, 57, 7, 43, 12, 48, 27, 63, 13, 49, 28, 64, 17, 53, 4, 40, 10, 46, 25, 61, 22, 58, 32, 68, 15, 51, 3, 39, 9, 45, 24, 60, 18, 54, 31, 67, 36, 72, 33, 69, 19, 55, 5, 41)(73, 109, 75, 111, 85, 121, 78, 114)(74, 110, 81, 117, 100, 136, 83, 119)(76, 112, 86, 122, 95, 131, 90, 126)(77, 113, 87, 123, 99, 135, 92, 128)(79, 115, 88, 124, 105, 141, 94, 130)(80, 116, 96, 132, 89, 125, 98, 134)(82, 118, 101, 137, 107, 143, 103, 139)(84, 120, 102, 138, 91, 127, 104, 140)(93, 129, 106, 142, 108, 144, 97, 133)
	L = (1, 76)(2, 82)(3, 86)(4, 88)(5, 89)(6, 90)(7, 73)(8, 97)(9, 101)(10, 102)(11, 103)(12, 74)(13, 95)(14, 105)(15, 98)(16, 75)(17, 106)(18, 79)(19, 100)(20, 96)(21, 77)(22, 78)(23, 94)(24, 93)(25, 92)(26, 108)(27, 80)(28, 107)(29, 91)(30, 81)(31, 84)(32, 83)(33, 85)(34, 87)(35, 104)(36, 99)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12, 36, 12, 36, 12, 36, 12, 36 ), ( 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.492
Graph:: bipartite
	v = 10 e = 72 f = 8
	degree seq :: [ 8^9, 72 ]

E28.495 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 18, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1, (Y3, Y2^-1), (Y3^-1, Y1), (R * Y2)^2, (Y2^-1, Y3^-1), (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y1^-4, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-2, Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y3 * Y2^-1 * Y3^-2 * Y1 * Y3 * Y2^-1, (Y2^-1 * Y3)^4 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 19, 55, 7, 43, 11, 47, 23, 59, 33, 69, 21, 57, 27, 63, 14, 50, 26, 62, 31, 67, 15, 51, 4, 40, 10, 46, 17, 53, 5, 41)(3, 39, 9, 45, 22, 58, 20, 56, 13, 49, 25, 61, 35, 71, 34, 70, 29, 65, 30, 66, 28, 64, 36, 72, 32, 68, 16, 52, 12, 48, 24, 60, 18, 54, 6, 42)(73, 109, 75, 111, 74, 110, 81, 117, 80, 116, 94, 130, 91, 127, 92, 128, 79, 115, 85, 121, 83, 119, 97, 133, 95, 131, 107, 143, 105, 141, 106, 142, 93, 129, 101, 137, 99, 135, 102, 138, 86, 122, 100, 136, 98, 134, 108, 144, 103, 139, 104, 140, 87, 123, 88, 124, 76, 112, 84, 120, 82, 118, 96, 132, 89, 125, 90, 126, 77, 113, 78, 114)
	L = (1, 76)(2, 82)(3, 84)(4, 86)(5, 87)(6, 88)(7, 73)(8, 89)(9, 96)(10, 98)(11, 74)(12, 100)(13, 75)(14, 95)(15, 99)(16, 102)(17, 103)(18, 104)(19, 77)(20, 78)(21, 79)(22, 90)(23, 80)(24, 108)(25, 81)(26, 105)(27, 83)(28, 107)(29, 85)(30, 97)(31, 93)(32, 101)(33, 91)(34, 92)(35, 94)(36, 106)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.490
Graph:: bipartite
	v = 3 e = 72 f = 15
	degree seq :: [ 36^2, 72 ]

E28.496 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 18, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y3, (Y2^-1, Y1), (R * Y3)^2, (Y2, Y3), (R * Y1)^2, (R * Y2)^2, Y3^2 * Y2^2 * Y1, Y2 * Y3^3 * Y2 * Y1^-1, Y2^6 * Y3^-1 * Y1^-1, Y2^-4 * Y3^4, Y3^9, (Y1 * Y3)^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 4, 40, 9, 45, 15, 51, 19, 55, 23, 59, 30, 66, 32, 68, 36, 72, 35, 71, 26, 62, 25, 61, 11, 47, 21, 57, 18, 54, 7, 43, 5, 41)(3, 39, 8, 44, 12, 48, 20, 56, 17, 53, 6, 42, 10, 46, 16, 52, 22, 58, 29, 65, 31, 67, 33, 69, 34, 70, 24, 60, 28, 64, 27, 63, 14, 50, 13, 49)(73, 109, 75, 111, 83, 119, 96, 132, 104, 140, 94, 130, 81, 117, 92, 128, 79, 115, 86, 122, 98, 134, 105, 141, 95, 131, 82, 118, 74, 110, 80, 116, 93, 129, 100, 136, 108, 144, 101, 137, 87, 123, 89, 125, 77, 113, 85, 121, 97, 133, 106, 142, 102, 138, 88, 124, 76, 112, 84, 120, 90, 126, 99, 135, 107, 143, 103, 139, 91, 127, 78, 114)
	L = (1, 76)(2, 81)(3, 84)(4, 87)(5, 74)(6, 88)(7, 73)(8, 92)(9, 91)(10, 94)(11, 90)(12, 89)(13, 80)(14, 75)(15, 95)(16, 101)(17, 82)(18, 77)(19, 102)(20, 78)(21, 79)(22, 103)(23, 104)(24, 99)(25, 93)(26, 83)(27, 85)(28, 86)(29, 105)(30, 108)(31, 106)(32, 107)(33, 96)(34, 100)(35, 97)(36, 98)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.489
Graph:: bipartite
	v = 3 e = 72 f = 15
	degree seq :: [ 36^2, 72 ]

E28.497 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 18, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, (Y1^-1, Y2^-1), (Y1^-1, Y3), (R * Y3)^2, Y1^4, (R * Y1)^2, (R * Y2)^2, (Y3^-1, Y2^-1), Y3 * Y1 * Y3 * Y2 * Y1, Y1 * Y3^-2 * Y2^-1 * Y1, Y3^-1 * Y2^4, (Y2^2 * Y3)^3 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 5, 41)(3, 39, 9, 45, 24, 60, 15, 51)(4, 40, 10, 46, 23, 59, 18, 54)(6, 42, 11, 47, 17, 53, 20, 56)(7, 43, 12, 48, 14, 50, 21, 57)(13, 49, 25, 61, 32, 68, 30, 66)(16, 52, 26, 62, 29, 65, 31, 67)(19, 55, 27, 63, 33, 69, 35, 71)(22, 58, 28, 64, 34, 70, 36, 72)(73, 109, 75, 111, 85, 121, 91, 127, 76, 112, 86, 122, 101, 137, 106, 142, 89, 125, 80, 116, 96, 132, 104, 140, 105, 141, 95, 131, 79, 115, 88, 124, 94, 130, 78, 114)(74, 110, 81, 117, 97, 133, 99, 135, 82, 118, 93, 129, 103, 139, 108, 144, 92, 128, 77, 113, 87, 123, 102, 138, 107, 143, 90, 126, 84, 120, 98, 134, 100, 136, 83, 119)
	L = (1, 76)(2, 82)(3, 86)(4, 89)(5, 90)(6, 91)(7, 73)(8, 95)(9, 93)(10, 92)(11, 99)(12, 74)(13, 101)(14, 80)(15, 84)(16, 75)(17, 105)(18, 83)(19, 106)(20, 107)(21, 77)(22, 85)(23, 78)(24, 79)(25, 103)(26, 81)(27, 108)(28, 97)(29, 96)(30, 98)(31, 87)(32, 88)(33, 94)(34, 104)(35, 100)(36, 102)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12, 72, 12, 72, 12, 72, 12, 72 ), ( 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72 ) }
Outer automorphisms :: reflexible
Dual of E28.499
Graph:: bipartite
	v = 11 e = 72 f = 7
	degree seq :: [ 8^9, 36^2 ]

E28.498 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 18, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3, (Y2^-1, Y1^-1), (Y1, Y3^-1), (R * Y1)^2, (R * Y3)^2, Y1^4, (R * Y2)^2, Y2^-1 * Y1^2 * Y3^4, Y1 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-2, Y3 * Y1 * Y3 * Y1 * Y3^2 * Y2^-1, (Y3^-1 * Y2)^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 5, 41)(3, 39, 9, 45, 21, 57, 13, 49)(4, 40, 10, 46, 22, 58, 16, 52)(6, 42, 11, 47, 23, 59, 18, 54)(7, 43, 12, 48, 24, 60, 19, 55)(14, 50, 25, 61, 31, 67, 29, 65)(15, 51, 26, 62, 30, 66, 32, 68)(17, 53, 27, 63, 36, 72, 34, 70)(20, 56, 28, 64, 33, 69, 35, 71)(73, 109, 75, 111, 79, 115, 86, 122, 92, 128, 102, 138, 108, 144, 94, 130, 95, 131, 80, 116, 93, 129, 96, 132, 103, 139, 105, 141, 87, 123, 89, 125, 76, 112, 78, 114)(74, 110, 81, 117, 84, 120, 97, 133, 100, 136, 104, 140, 106, 142, 88, 124, 90, 126, 77, 113, 85, 121, 91, 127, 101, 137, 107, 143, 98, 134, 99, 135, 82, 118, 83, 119)
	L = (1, 76)(2, 82)(3, 78)(4, 87)(5, 88)(6, 89)(7, 73)(8, 94)(9, 83)(10, 98)(11, 99)(12, 74)(13, 90)(14, 75)(15, 103)(16, 104)(17, 105)(18, 106)(19, 77)(20, 79)(21, 95)(22, 102)(23, 108)(24, 80)(25, 81)(26, 101)(27, 107)(28, 84)(29, 85)(30, 86)(31, 93)(32, 97)(33, 96)(34, 100)(35, 91)(36, 92)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12, 72, 12, 72, 12, 72, 12, 72 ), ( 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72 ) }
Outer automorphisms :: reflexible
Dual of E28.500
Graph:: bipartite
	v = 11 e = 72 f = 7
	degree seq :: [ 8^9, 36^2 ]

E28.499 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 18, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^2, Y2 * Y3^-1 * Y2^2, Y3 * Y2^-3, (Y2, Y1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1^6, (Y3^-1 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 20, 56, 16, 52, 5, 41)(3, 39, 9, 45, 21, 57, 31, 67, 26, 62, 14, 50)(4, 40, 10, 46, 22, 58, 29, 65, 18, 54, 7, 43)(6, 42, 11, 47, 23, 59, 32, 68, 28, 64, 17, 53)(12, 48, 24, 60, 33, 69, 36, 72, 30, 66, 19, 55)(13, 49, 25, 61, 34, 70, 35, 71, 27, 63, 15, 51)(73, 109, 75, 111, 84, 120, 76, 112, 85, 121, 83, 119, 74, 110, 81, 117, 96, 132, 82, 118, 97, 133, 95, 131, 80, 116, 93, 129, 105, 141, 94, 130, 106, 142, 104, 140, 92, 128, 103, 139, 108, 144, 101, 137, 107, 143, 100, 136, 88, 124, 98, 134, 102, 138, 90, 126, 99, 135, 89, 125, 77, 113, 86, 122, 91, 127, 79, 115, 87, 123, 78, 114)
	L = (1, 76)(2, 82)(3, 85)(4, 74)(5, 79)(6, 84)(7, 73)(8, 94)(9, 97)(10, 80)(11, 96)(12, 83)(13, 81)(14, 87)(15, 75)(16, 90)(17, 91)(18, 77)(19, 78)(20, 101)(21, 106)(22, 92)(23, 105)(24, 95)(25, 93)(26, 99)(27, 86)(28, 102)(29, 88)(30, 89)(31, 107)(32, 108)(33, 104)(34, 103)(35, 98)(36, 100)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36 ), ( 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.497
Graph:: bipartite
	v = 7 e = 72 f = 11
	degree seq :: [ 12^6, 72 ]

E28.500 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 18, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^2, (R * Y2)^2, (Y2, Y3), (R * Y3)^2, (Y1^-1, Y2^-1), (R * Y1)^2, Y2 * Y1^-2 * Y3^-1 * Y2^2, Y1^6, Y2^-2 * Y3 * Y2^-1 * Y1^2, Y1 * Y2^-1 * Y1 * Y3 * Y2^-2, Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1, (Y3^-1 * Y1^-1)^4, (Y2 * Y1^-1 * Y3^-1)^9, Y2^36 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 22, 58, 17, 53, 5, 41)(3, 39, 9, 45, 23, 59, 36, 72, 31, 67, 14, 50)(4, 40, 10, 46, 24, 60, 33, 69, 19, 55, 7, 43)(6, 42, 11, 47, 25, 61, 30, 66, 32, 68, 18, 54)(12, 48, 26, 62, 35, 71, 21, 57, 16, 52, 28, 64)(13, 49, 27, 63, 34, 70, 20, 56, 29, 65, 15, 51)(73, 109, 75, 111, 84, 120, 96, 132, 106, 142, 90, 126, 77, 113, 86, 122, 100, 136, 82, 118, 99, 135, 104, 140, 89, 125, 103, 139, 88, 124, 76, 112, 85, 121, 102, 138, 94, 130, 108, 144, 93, 129, 79, 115, 87, 123, 97, 133, 80, 116, 95, 131, 107, 143, 91, 127, 101, 137, 83, 119, 74, 110, 81, 117, 98, 134, 105, 141, 92, 128, 78, 114)
	L = (1, 76)(2, 82)(3, 85)(4, 74)(5, 79)(6, 88)(7, 73)(8, 96)(9, 99)(10, 80)(11, 100)(12, 102)(13, 81)(14, 87)(15, 75)(16, 83)(17, 91)(18, 93)(19, 77)(20, 103)(21, 78)(22, 105)(23, 106)(24, 94)(25, 84)(26, 104)(27, 95)(28, 97)(29, 86)(30, 98)(31, 101)(32, 107)(33, 89)(34, 108)(35, 90)(36, 92)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36 ), ( 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.498
Graph:: bipartite
	v = 7 e = 72 f = 11
	degree seq :: [ 12^6, 72 ]

E28.501 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 18, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^-2 * Y2 * Y3^-1, (R * Y1)^2, (R * Y2)^2, (Y2^-1, Y1^-1), (Y3, Y1), (R * Y3)^2, Y2^-4 * Y1, (Y1^-1 * Y3^-1)^36 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 8, 44, 14, 50)(4, 40, 9, 45, 16, 52)(6, 42, 10, 46, 18, 54)(7, 43, 11, 47, 19, 55)(12, 48, 22, 58, 20, 56)(13, 49, 23, 59, 29, 65)(15, 51, 24, 60, 30, 66)(17, 53, 25, 61, 31, 67)(21, 57, 26, 62, 33, 69)(27, 63, 35, 71, 32, 68)(28, 64, 36, 72, 34, 70)(73, 109, 75, 111, 84, 120, 82, 118, 74, 110, 80, 116, 94, 130, 90, 126, 77, 113, 86, 122, 92, 128, 78, 114)(76, 112, 85, 121, 99, 135, 97, 133, 81, 117, 95, 131, 107, 143, 103, 139, 88, 124, 101, 137, 104, 140, 89, 125)(79, 115, 87, 123, 100, 136, 98, 134, 83, 119, 96, 132, 108, 144, 105, 141, 91, 127, 102, 138, 106, 142, 93, 129)
	L = (1, 76)(2, 81)(3, 85)(4, 87)(5, 88)(6, 89)(7, 73)(8, 95)(9, 96)(10, 97)(11, 74)(12, 99)(13, 100)(14, 101)(15, 75)(16, 102)(17, 79)(18, 103)(19, 77)(20, 104)(21, 78)(22, 107)(23, 108)(24, 80)(25, 83)(26, 82)(27, 98)(28, 84)(29, 106)(30, 86)(31, 91)(32, 93)(33, 90)(34, 92)(35, 105)(36, 94)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 36, 72, 36, 72, 36, 72 ), ( 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72 ) }
Outer automorphisms :: reflexible
Dual of E28.514
Graph:: bipartite
	v = 15 e = 72 f = 3
	degree seq :: [ 6^12, 24^3 ]

E28.502 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 18, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^2 * Y2^-1 * Y3, (R * Y1)^2, (R * Y2)^2, (Y2^-1, Y1^-1), (Y2, Y3^-1), (R * Y3)^2, (Y3, Y1), Y2^4 * Y1, (Y1^-1 * Y3^-1)^36 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 8, 44, 14, 50)(4, 40, 9, 45, 16, 52)(6, 42, 10, 46, 18, 54)(7, 43, 11, 47, 19, 55)(12, 48, 20, 56, 25, 61)(13, 49, 22, 58, 29, 65)(15, 51, 23, 59, 30, 66)(17, 53, 24, 60, 31, 67)(21, 57, 26, 62, 33, 69)(27, 63, 32, 68, 35, 71)(28, 64, 34, 70, 36, 72)(73, 109, 75, 111, 84, 120, 90, 126, 77, 113, 86, 122, 97, 133, 82, 118, 74, 110, 80, 116, 92, 128, 78, 114)(76, 112, 85, 121, 99, 135, 103, 139, 88, 124, 101, 137, 107, 143, 96, 132, 81, 117, 94, 130, 104, 140, 89, 125)(79, 115, 87, 123, 100, 136, 105, 141, 91, 127, 102, 138, 108, 144, 98, 134, 83, 119, 95, 131, 106, 142, 93, 129)
	L = (1, 76)(2, 81)(3, 85)(4, 87)(5, 88)(6, 89)(7, 73)(8, 94)(9, 95)(10, 96)(11, 74)(12, 99)(13, 100)(14, 101)(15, 75)(16, 102)(17, 79)(18, 103)(19, 77)(20, 104)(21, 78)(22, 106)(23, 80)(24, 83)(25, 107)(26, 82)(27, 105)(28, 84)(29, 108)(30, 86)(31, 91)(32, 93)(33, 90)(34, 92)(35, 98)(36, 97)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 36, 72, 36, 72, 36, 72 ), ( 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72 ) }
Outer automorphisms :: reflexible
Dual of E28.516
Graph:: bipartite
	v = 15 e = 72 f = 3
	degree seq :: [ 6^12, 24^3 ]

E28.503 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 18, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y1^-1, Y2^-1), (Y2^-1, Y3), (R * Y3)^2, (R * Y1)^2, (Y1^-1, Y3), (R * Y2)^2, Y1 * Y2^-4, Y2 * Y3^-3 * Y1, Y1 * Y3^2 * Y1 * Y3 * Y2^-1, (Y2^2 * Y1)^2, (Y1 * Y2^-1 * Y3^-1)^9, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 8, 44, 14, 50)(4, 40, 9, 45, 17, 53)(6, 42, 10, 46, 19, 55)(7, 43, 11, 47, 20, 56)(12, 48, 24, 60, 21, 57)(13, 49, 25, 61, 32, 68)(15, 51, 16, 52, 26, 62)(18, 54, 27, 63, 23, 59)(22, 58, 28, 64, 34, 70)(29, 65, 36, 72, 33, 69)(30, 66, 31, 67, 35, 71)(73, 109, 75, 111, 84, 120, 82, 118, 74, 110, 80, 116, 96, 132, 91, 127, 77, 113, 86, 122, 93, 129, 78, 114)(76, 112, 85, 121, 101, 137, 99, 135, 81, 117, 97, 133, 108, 144, 95, 131, 89, 125, 104, 140, 105, 141, 90, 126)(79, 115, 87, 123, 102, 138, 100, 136, 83, 119, 88, 124, 103, 139, 106, 142, 92, 128, 98, 134, 107, 143, 94, 130)
	L = (1, 76)(2, 81)(3, 85)(4, 88)(5, 89)(6, 90)(7, 73)(8, 97)(9, 98)(10, 99)(11, 74)(12, 101)(13, 103)(14, 104)(15, 75)(16, 80)(17, 87)(18, 83)(19, 95)(20, 77)(21, 105)(22, 78)(23, 79)(24, 108)(25, 107)(26, 86)(27, 92)(28, 82)(29, 106)(30, 84)(31, 96)(32, 102)(33, 100)(34, 91)(35, 93)(36, 94)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 36, 72, 36, 72, 36, 72 ), ( 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72 ) }
Outer automorphisms :: reflexible
Dual of E28.515
Graph:: bipartite
	v = 15 e = 72 f = 3
	degree seq :: [ 6^12, 24^3 ]

E28.504 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 18, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y3^-1, Y1), (Y3^-1, Y2), (Y2^-1, Y1^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y3^-3 * Y1^-1, Y1 * Y2^4, Y3 * Y2^-1 * Y3^2 * Y1, (Y2^-2 * Y1)^2, Y1^-1 * Y3^2 * Y1^-1 * Y3 * Y2^-1, Y3 * Y2 * Y1^-1 * Y3 * Y2^2 * Y3, (Y3^-1 * Y1^-1 * Y2^-1)^9 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 8, 44, 14, 50)(4, 40, 9, 45, 17, 53)(6, 42, 10, 46, 19, 55)(7, 43, 11, 47, 20, 56)(12, 48, 21, 57, 26, 62)(13, 49, 24, 60, 32, 68)(15, 51, 25, 61, 16, 52)(18, 54, 23, 59, 28, 64)(22, 58, 27, 63, 34, 70)(29, 65, 33, 69, 36, 72)(30, 66, 35, 71, 31, 67)(73, 109, 75, 111, 84, 120, 91, 127, 77, 113, 86, 122, 98, 134, 82, 118, 74, 110, 80, 116, 93, 129, 78, 114)(76, 112, 85, 121, 101, 137, 100, 136, 89, 125, 104, 140, 108, 144, 95, 131, 81, 117, 96, 132, 105, 141, 90, 126)(79, 115, 87, 123, 102, 138, 106, 142, 92, 128, 88, 124, 103, 139, 99, 135, 83, 119, 97, 133, 107, 143, 94, 130)
	L = (1, 76)(2, 81)(3, 85)(4, 88)(5, 89)(6, 90)(7, 73)(8, 96)(9, 87)(10, 95)(11, 74)(12, 101)(13, 103)(14, 104)(15, 75)(16, 86)(17, 97)(18, 92)(19, 100)(20, 77)(21, 105)(22, 78)(23, 79)(24, 102)(25, 80)(26, 108)(27, 82)(28, 83)(29, 99)(30, 84)(31, 98)(32, 107)(33, 106)(34, 91)(35, 93)(36, 94)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 36, 72, 36, 72, 36, 72 ), ( 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72 ) }
Outer automorphisms :: reflexible
Dual of E28.513
Graph:: bipartite
	v = 15 e = 72 f = 3
	degree seq :: [ 6^12, 24^3 ]

E28.505 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 18, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-3, (Y2^-1, Y1), (R * Y3)^2, (R * Y1)^2, Y3^4, (R * Y2)^2, (Y2, Y3^-1), Y3 * Y1^-1 * Y2^-3, (Y3^-1 * Y1^-1)^3, (Y2 * Y3 * Y1)^18 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 4, 40, 10, 46, 24, 60, 17, 53, 26, 62, 20, 56, 7, 43, 12, 48, 5, 41)(3, 39, 9, 45, 23, 59, 14, 50, 25, 61, 35, 71, 30, 66, 34, 70, 31, 67, 16, 52, 21, 57, 15, 51)(6, 42, 11, 47, 13, 49, 18, 54, 27, 63, 29, 65, 32, 68, 36, 72, 33, 69, 22, 58, 28, 64, 19, 55)(73, 109, 75, 111, 85, 121, 80, 116, 95, 131, 99, 135, 82, 118, 97, 133, 104, 140, 89, 125, 102, 138, 105, 141, 92, 128, 103, 139, 100, 136, 84, 120, 93, 129, 78, 114)(74, 110, 81, 117, 90, 126, 76, 112, 86, 122, 101, 137, 96, 132, 107, 143, 108, 144, 98, 134, 106, 142, 94, 130, 79, 115, 88, 124, 91, 127, 77, 113, 87, 123, 83, 119)
	L = (1, 76)(2, 82)(3, 86)(4, 89)(5, 80)(6, 90)(7, 73)(8, 96)(9, 97)(10, 98)(11, 99)(12, 74)(13, 101)(14, 102)(15, 95)(16, 75)(17, 79)(18, 104)(19, 85)(20, 77)(21, 81)(22, 78)(23, 107)(24, 92)(25, 106)(26, 84)(27, 108)(28, 83)(29, 105)(30, 88)(31, 87)(32, 94)(33, 91)(34, 93)(35, 103)(36, 100)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72 ), ( 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72 ) }
Outer automorphisms :: reflexible
Dual of E28.510
Graph:: bipartite
	v = 5 e = 72 f = 13
	degree seq :: [ 24^3, 36^2 ]

E28.506 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 18, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-3, (Y3^-1, Y2^-1), (Y1^-1, Y2), (R * Y2)^2, (Y3^-1, Y1^-1), (R * Y3)^2, Y3^4, (R * Y1)^2, Y2^-1 * Y1 * Y3^-1 * Y2^-2, (Y1^-1 * Y3^-1)^3, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 4, 40, 10, 46, 23, 59, 17, 53, 27, 63, 20, 56, 7, 43, 12, 48, 5, 41)(3, 39, 9, 45, 21, 57, 14, 50, 25, 61, 33, 69, 30, 66, 36, 72, 31, 67, 16, 52, 26, 62, 15, 51)(6, 42, 11, 47, 24, 60, 18, 54, 28, 64, 35, 71, 32, 68, 29, 65, 34, 70, 22, 58, 13, 49, 19, 55)(73, 109, 75, 111, 85, 121, 84, 120, 98, 134, 106, 142, 92, 128, 103, 139, 104, 140, 89, 125, 102, 138, 100, 136, 82, 118, 97, 133, 96, 132, 80, 116, 93, 129, 78, 114)(74, 110, 81, 117, 91, 127, 77, 113, 87, 123, 94, 130, 79, 115, 88, 124, 101, 137, 99, 135, 108, 144, 107, 143, 95, 131, 105, 141, 90, 126, 76, 112, 86, 122, 83, 119)
	L = (1, 76)(2, 82)(3, 86)(4, 89)(5, 80)(6, 90)(7, 73)(8, 95)(9, 97)(10, 99)(11, 100)(12, 74)(13, 83)(14, 102)(15, 93)(16, 75)(17, 79)(18, 104)(19, 96)(20, 77)(21, 105)(22, 78)(23, 92)(24, 107)(25, 108)(26, 81)(27, 84)(28, 101)(29, 85)(30, 88)(31, 87)(32, 94)(33, 103)(34, 91)(35, 106)(36, 98)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72 ), ( 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72 ) }
Outer automorphisms :: reflexible
Dual of E28.509
Graph:: bipartite
	v = 5 e = 72 f = 13
	degree seq :: [ 24^3, 36^2 ]

E28.507 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 18, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, (Y3 * Y1^-1)^2, (Y3, Y1^-1), (R * Y3)^2, (Y1^-1, Y2^-1), Y3^2 * Y1^-2, (Y2^-1, Y3), (R * Y2)^2, (R * Y1)^2, Y3^-2 * Y2^3, Y3^5 * Y1, Y2^2 * Y1^2 * Y3 * Y2 * Y1, Y1^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 23, 59, 20, 56, 7, 43, 12, 48, 4, 40, 10, 46, 25, 61, 18, 54, 5, 41)(3, 39, 9, 45, 24, 60, 36, 72, 32, 68, 16, 52, 28, 64, 14, 50, 27, 63, 34, 70, 21, 57, 15, 51)(6, 42, 11, 47, 13, 49, 26, 62, 35, 71, 22, 58, 30, 66, 17, 53, 29, 65, 31, 67, 33, 69, 19, 55)(73, 109, 75, 111, 85, 121, 80, 116, 96, 132, 107, 143, 92, 128, 104, 140, 102, 138, 84, 120, 100, 136, 101, 137, 82, 118, 99, 135, 105, 141, 90, 126, 93, 129, 78, 114)(74, 110, 81, 117, 98, 134, 95, 131, 108, 144, 94, 130, 79, 115, 88, 124, 89, 125, 76, 112, 86, 122, 103, 139, 97, 133, 106, 142, 91, 127, 77, 113, 87, 123, 83, 119)
	L = (1, 76)(2, 82)(3, 86)(4, 80)(5, 84)(6, 89)(7, 73)(8, 97)(9, 99)(10, 95)(11, 101)(12, 74)(13, 103)(14, 96)(15, 100)(16, 75)(17, 85)(18, 79)(19, 102)(20, 77)(21, 88)(22, 78)(23, 90)(24, 106)(25, 92)(26, 105)(27, 108)(28, 81)(29, 98)(30, 83)(31, 107)(32, 87)(33, 94)(34, 104)(35, 91)(36, 93)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72 ), ( 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72 ) }
Outer automorphisms :: reflexible
Dual of E28.511
Graph:: bipartite
	v = 5 e = 72 f = 13
	degree seq :: [ 24^3, 36^2 ]

E28.508 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 18, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1 * Y1)^2, Y1^-1 * Y3^2 * Y1^-1, (Y2^-1, Y1^-1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y2^-1), Y2^3 * Y3^2, Y1 * Y2^2 * Y1 * Y2, Y3 * Y2 * Y1^-1 * Y3^-1 * Y1 * Y2^-1, (Y3^-1 * Y1^-1)^3, Y3^2 * Y1 * Y2^-1 * Y3 * Y2^-2, Y1^-2 * Y3^-10, Y3^2 * Y1^10, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 23, 59, 20, 56, 7, 43, 12, 48, 4, 40, 10, 46, 24, 60, 18, 54, 5, 41)(3, 39, 9, 45, 21, 57, 29, 65, 34, 70, 16, 52, 27, 63, 14, 50, 26, 62, 35, 71, 33, 69, 15, 51)(6, 42, 11, 47, 25, 61, 32, 68, 36, 72, 22, 58, 30, 66, 17, 53, 28, 64, 31, 67, 13, 49, 19, 55)(73, 109, 75, 111, 85, 121, 90, 126, 105, 141, 100, 136, 82, 118, 98, 134, 102, 138, 84, 120, 99, 135, 108, 144, 92, 128, 106, 142, 97, 133, 80, 116, 93, 129, 78, 114)(74, 110, 81, 117, 91, 127, 77, 113, 87, 123, 103, 139, 96, 132, 107, 143, 89, 125, 76, 112, 86, 122, 94, 130, 79, 115, 88, 124, 104, 140, 95, 131, 101, 137, 83, 119)
	L = (1, 76)(2, 82)(3, 86)(4, 80)(5, 84)(6, 89)(7, 73)(8, 96)(9, 98)(10, 95)(11, 100)(12, 74)(13, 94)(14, 93)(15, 99)(16, 75)(17, 97)(18, 79)(19, 102)(20, 77)(21, 107)(22, 78)(23, 90)(24, 92)(25, 103)(26, 101)(27, 81)(28, 104)(29, 105)(30, 83)(31, 108)(32, 85)(33, 88)(34, 87)(35, 106)(36, 91)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72 ), ( 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72 ) }
Outer automorphisms :: reflexible
Dual of E28.512
Graph:: bipartite
	v = 5 e = 72 f = 13
	degree seq :: [ 24^3, 36^2 ]

E28.509 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 18, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^3, (Y2, Y3), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1, Y1), (Y1^-1, Y2^-1), Y3^4, Y2^-1 * Y3 * Y1^3, Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y1^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 15, 51, 26, 62, 35, 71, 32, 68, 33, 69, 17, 53, 4, 40, 10, 46, 14, 50, 3, 39, 9, 45, 23, 59, 22, 58, 28, 64, 31, 67, 16, 52, 27, 63, 30, 66, 13, 49, 25, 61, 20, 56, 6, 42, 11, 47, 21, 57, 7, 43, 12, 48, 24, 60, 29, 65, 36, 72, 34, 70, 18, 54, 19, 55, 5, 41)(73, 109, 75, 111, 78, 114)(74, 110, 81, 117, 83, 119)(76, 112, 85, 121, 90, 126)(77, 113, 86, 122, 92, 128)(79, 115, 87, 123, 94, 130)(80, 116, 95, 131, 93, 129)(82, 118, 97, 133, 91, 127)(84, 120, 98, 134, 100, 136)(88, 124, 101, 137, 104, 140)(89, 125, 102, 138, 106, 142)(96, 132, 107, 143, 103, 139)(99, 135, 108, 144, 105, 141)
	L = (1, 76)(2, 82)(3, 85)(4, 88)(5, 89)(6, 90)(7, 73)(8, 86)(9, 97)(10, 99)(11, 91)(12, 74)(13, 101)(14, 102)(15, 75)(16, 79)(17, 103)(18, 104)(19, 105)(20, 106)(21, 77)(22, 78)(23, 92)(24, 80)(25, 108)(26, 81)(27, 84)(28, 83)(29, 87)(30, 96)(31, 93)(32, 94)(33, 100)(34, 107)(35, 95)(36, 98)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 24, 36, 24, 36, 24, 36 ), ( 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.506
Graph:: bipartite
	v = 13 e = 72 f = 5
	degree seq :: [ 6^12, 72 ]

E28.510 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 18, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3^4, (Y3^-1, Y2), (Y2^-1, Y1^-1), (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y1^-1), (R * Y1)^2, Y1^-1 * Y3^-1 * Y1^-2 * Y2^-1, Y2 * Y3 * Y1^3 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 22, 58, 28, 64, 35, 71, 29, 65, 33, 69, 17, 53, 4, 40, 10, 46, 20, 56, 6, 42, 11, 47, 23, 59, 15, 51, 25, 61, 31, 67, 16, 52, 26, 62, 34, 70, 18, 54, 27, 63, 14, 50, 3, 39, 9, 45, 21, 57, 7, 43, 12, 48, 24, 60, 32, 68, 36, 72, 30, 66, 13, 49, 19, 55, 5, 41)(73, 109, 75, 111, 78, 114)(74, 110, 81, 117, 83, 119)(76, 112, 85, 121, 90, 126)(77, 113, 86, 122, 92, 128)(79, 115, 87, 123, 94, 130)(80, 116, 93, 129, 95, 131)(82, 118, 91, 127, 99, 135)(84, 120, 97, 133, 100, 136)(88, 124, 101, 137, 104, 140)(89, 125, 102, 138, 106, 142)(96, 132, 103, 139, 107, 143)(98, 134, 105, 141, 108, 144)
	L = (1, 76)(2, 82)(3, 85)(4, 88)(5, 89)(6, 90)(7, 73)(8, 92)(9, 91)(10, 98)(11, 99)(12, 74)(13, 101)(14, 102)(15, 75)(16, 79)(17, 103)(18, 104)(19, 105)(20, 106)(21, 77)(22, 78)(23, 86)(24, 80)(25, 81)(26, 84)(27, 108)(28, 83)(29, 87)(30, 107)(31, 93)(32, 94)(33, 97)(34, 96)(35, 95)(36, 100)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 24, 36, 24, 36, 24, 36 ), ( 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.505
Graph:: bipartite
	v = 13 e = 72 f = 5
	degree seq :: [ 6^12, 72 ]

E28.511 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 18, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^3, (Y1, Y2^-1), (Y1, Y3), Y1 * Y3 * Y1^2, (R * Y2)^2, (Y2, Y3), (R * Y3)^2, (R * Y1)^2, Y3^4 * Y2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 7, 43, 12, 48, 24, 60, 21, 57, 30, 66, 31, 67, 13, 49, 25, 61, 14, 50, 3, 39, 9, 45, 22, 58, 15, 51, 26, 62, 35, 71, 32, 68, 36, 72, 34, 70, 18, 54, 28, 64, 19, 55, 6, 42, 11, 47, 23, 59, 20, 56, 29, 65, 33, 69, 16, 52, 27, 63, 17, 53, 4, 40, 10, 46, 5, 41)(73, 109, 75, 111, 78, 114)(74, 110, 81, 117, 83, 119)(76, 112, 85, 121, 90, 126)(77, 113, 86, 122, 91, 127)(79, 115, 87, 123, 92, 128)(80, 116, 94, 130, 95, 131)(82, 118, 97, 133, 100, 136)(84, 120, 98, 134, 101, 137)(88, 124, 93, 129, 104, 140)(89, 125, 103, 139, 106, 142)(96, 132, 107, 143, 105, 141)(99, 135, 102, 138, 108, 144)
	L = (1, 76)(2, 82)(3, 85)(4, 88)(5, 89)(6, 90)(7, 73)(8, 77)(9, 97)(10, 99)(11, 100)(12, 74)(13, 93)(14, 103)(15, 75)(16, 92)(17, 105)(18, 104)(19, 106)(20, 78)(21, 79)(22, 86)(23, 91)(24, 80)(25, 102)(26, 81)(27, 101)(28, 108)(29, 83)(30, 84)(31, 96)(32, 87)(33, 95)(34, 107)(35, 94)(36, 98)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 24, 36, 24, 36, 24, 36 ), ( 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.507
Graph:: bipartite
	v = 13 e = 72 f = 5
	degree seq :: [ 6^12, 72 ]

E28.512 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 18, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^3, (R * Y2)^2, (Y3, Y1), (R * Y3)^2, (Y3, Y2), (R * Y1)^2, (Y1^-1, Y2), Y3^4 * Y2, Y2^-1 * Y1^2 * Y3 * Y1, Y2^-1 * Y3 * Y1^3, Y3^-1 * Y1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1, Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y1^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 15, 51, 27, 63, 33, 69, 16, 52, 28, 64, 31, 67, 13, 49, 26, 62, 20, 56, 6, 42, 11, 47, 21, 57, 7, 43, 12, 48, 25, 61, 32, 68, 34, 70, 17, 53, 4, 40, 10, 46, 14, 50, 3, 39, 9, 45, 24, 60, 22, 58, 29, 65, 36, 72, 23, 59, 30, 66, 35, 71, 18, 54, 19, 55, 5, 41)(73, 109, 75, 111, 78, 114)(74, 110, 81, 117, 83, 119)(76, 112, 85, 121, 90, 126)(77, 113, 86, 122, 92, 128)(79, 115, 87, 123, 94, 130)(80, 116, 96, 132, 93, 129)(82, 118, 98, 134, 91, 127)(84, 120, 99, 135, 101, 137)(88, 124, 95, 131, 104, 140)(89, 125, 103, 139, 107, 143)(97, 133, 105, 141, 108, 144)(100, 136, 102, 138, 106, 142)
	L = (1, 76)(2, 82)(3, 85)(4, 88)(5, 89)(6, 90)(7, 73)(8, 86)(9, 98)(10, 100)(11, 91)(12, 74)(13, 95)(14, 103)(15, 75)(16, 94)(17, 105)(18, 104)(19, 106)(20, 107)(21, 77)(22, 78)(23, 79)(24, 92)(25, 80)(26, 102)(27, 81)(28, 101)(29, 83)(30, 84)(31, 108)(32, 87)(33, 96)(34, 99)(35, 97)(36, 93)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 24, 36, 24, 36, 24, 36 ), ( 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.508
Graph:: bipartite
	v = 13 e = 72 f = 5
	degree seq :: [ 6^12, 72 ]

E28.513 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 18, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2 * Y3, Y1^-1 * Y3 * Y2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2^-1 * Y1^-1 * Y3^-1 * Y1^2, Y2 * Y3^-3 * Y2^2, (Y3 * Y2^-1)^3, Y1^2 * Y3^2 * Y1^3, (Y3^-1 * Y1^-1)^12, Y3^36 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 20, 56, 32, 68, 19, 55, 12, 48, 11, 47, 23, 59, 35, 71, 31, 67, 18, 54, 14, 50, 13, 49, 24, 60, 28, 64, 15, 51, 5, 41)(3, 39, 9, 45, 21, 57, 34, 70, 33, 69, 27, 63, 26, 62, 25, 61, 36, 72, 29, 65, 16, 52, 6, 42, 4, 40, 10, 46, 22, 58, 30, 66, 17, 53, 7, 43)(73, 109, 75, 111, 83, 119, 97, 133, 96, 132, 94, 130, 92, 128, 106, 142, 103, 139, 88, 124, 77, 113, 79, 115, 84, 120, 98, 134, 85, 121, 82, 118, 80, 116, 93, 129, 107, 143, 101, 137, 87, 123, 89, 125, 91, 127, 99, 135, 86, 122, 76, 112, 74, 110, 81, 117, 95, 131, 108, 144, 100, 136, 102, 138, 104, 140, 105, 141, 90, 126, 78, 114)
	L = (1, 76)(2, 82)(3, 74)(4, 85)(5, 78)(6, 86)(7, 73)(8, 94)(9, 80)(10, 96)(11, 81)(12, 75)(13, 97)(14, 98)(15, 88)(16, 90)(17, 77)(18, 99)(19, 79)(20, 102)(21, 92)(22, 100)(23, 93)(24, 108)(25, 95)(26, 83)(27, 84)(28, 101)(29, 103)(30, 87)(31, 105)(32, 89)(33, 91)(34, 104)(35, 106)(36, 107)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.504
Graph:: bipartite
	v = 3 e = 72 f = 15
	degree seq :: [ 36^2, 72 ]

E28.514 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 18, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^2, (R * Y2)^2, (R * Y1)^2, (Y1^-1, Y2^-1), (R * Y3)^2, (Y3^-1, Y2), Y2^-1 * Y3 * Y2^-1 * Y1 * Y2^-1, Y1^-2 * Y2^-2 * Y1^-3, Y2^-1 * Y1^-1 * Y2^-1 * Y1^-4, (Y1 * Y3)^12 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 22, 58, 32, 68, 20, 56, 15, 51, 13, 49, 27, 63, 36, 72, 33, 69, 21, 57, 16, 52, 12, 48, 26, 62, 29, 65, 17, 53, 5, 41)(3, 39, 9, 45, 23, 59, 30, 66, 18, 54, 6, 42, 11, 47, 25, 61, 35, 71, 31, 67, 19, 55, 7, 43, 4, 40, 10, 46, 24, 60, 34, 70, 28, 64, 14, 50)(73, 109, 75, 111, 84, 120, 82, 118, 99, 135, 107, 143, 94, 130, 102, 138, 89, 125, 100, 136, 93, 129, 79, 115, 87, 123, 83, 119, 74, 110, 81, 117, 98, 134, 96, 132, 108, 144, 103, 139, 104, 140, 90, 126, 77, 113, 86, 122, 88, 124, 76, 112, 85, 121, 97, 133, 80, 116, 95, 131, 101, 137, 106, 142, 105, 141, 91, 127, 92, 128, 78, 114)
	L = (1, 76)(2, 82)(3, 85)(4, 74)(5, 79)(6, 88)(7, 73)(8, 96)(9, 99)(10, 80)(11, 84)(12, 97)(13, 81)(14, 87)(15, 75)(16, 83)(17, 91)(18, 93)(19, 77)(20, 86)(21, 78)(22, 106)(23, 108)(24, 94)(25, 98)(26, 107)(27, 95)(28, 92)(29, 103)(30, 105)(31, 89)(32, 100)(33, 90)(34, 104)(35, 101)(36, 102)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.501
Graph:: bipartite
	v = 3 e = 72 f = 15
	degree seq :: [ 36^2, 72 ]

E28.515 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 18, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1, (Y3, Y1), (R * Y2)^2, (Y3^-1, Y2), (R * Y3)^2, (R * Y1)^2, Y3^-2 * Y1 * Y2 * Y3^-1, Y3^2 * Y1^-1 * Y3 * Y2^-1, Y1 * Y3 * Y1^2 * Y3 * Y1^2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 22, 58, 33, 69, 21, 57, 16, 52, 12, 48, 26, 62, 36, 72, 32, 68, 20, 56, 13, 49, 14, 50, 27, 63, 29, 65, 17, 53, 5, 41)(3, 39, 9, 45, 23, 59, 34, 70, 28, 64, 15, 51, 4, 40, 10, 46, 24, 60, 31, 67, 19, 55, 7, 43, 11, 47, 25, 61, 35, 71, 30, 66, 18, 54, 6, 42)(73, 109, 75, 111, 74, 110, 81, 117, 80, 116, 95, 131, 94, 130, 106, 142, 105, 141, 100, 136, 93, 129, 87, 123, 88, 124, 76, 112, 84, 120, 82, 118, 98, 134, 96, 132, 108, 144, 103, 139, 104, 140, 91, 127, 92, 128, 79, 115, 85, 121, 83, 119, 86, 122, 97, 133, 99, 135, 107, 143, 101, 137, 102, 138, 89, 125, 90, 126, 77, 113, 78, 114)
	L = (1, 76)(2, 82)(3, 84)(4, 86)(5, 87)(6, 88)(7, 73)(8, 96)(9, 98)(10, 99)(11, 74)(12, 97)(13, 75)(14, 81)(15, 85)(16, 83)(17, 100)(18, 93)(19, 77)(20, 78)(21, 79)(22, 103)(23, 108)(24, 101)(25, 80)(26, 107)(27, 95)(28, 92)(29, 106)(30, 105)(31, 89)(32, 90)(33, 91)(34, 104)(35, 94)(36, 102)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.503
Graph:: bipartite
	v = 3 e = 72 f = 15
	degree seq :: [ 36^2, 72 ]

E28.516 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 18, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-2, (Y2^-1, Y3), (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y2)^2, Y3 * Y2^-2 * Y1 * Y2^-1, Y1 * Y2 * Y1 * Y3 * Y1^3, (Y1 * Y3)^12 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 22, 58, 33, 69, 21, 57, 16, 52, 12, 48, 26, 62, 35, 71, 32, 68, 20, 56, 15, 51, 13, 49, 27, 63, 29, 65, 17, 53, 5, 41)(3, 39, 9, 45, 23, 59, 31, 67, 19, 55, 7, 43, 4, 40, 10, 46, 24, 60, 30, 66, 18, 54, 6, 42, 11, 47, 25, 61, 34, 70, 36, 72, 28, 64, 14, 50)(73, 109, 75, 111, 84, 120, 82, 118, 99, 135, 106, 142, 94, 130, 103, 139, 104, 140, 90, 126, 77, 113, 86, 122, 88, 124, 76, 112, 85, 121, 97, 133, 80, 116, 95, 131, 107, 143, 102, 138, 89, 125, 100, 136, 93, 129, 79, 115, 87, 123, 83, 119, 74, 110, 81, 117, 98, 134, 96, 132, 101, 137, 108, 144, 105, 141, 91, 127, 92, 128, 78, 114)
	L = (1, 76)(2, 82)(3, 85)(4, 74)(5, 79)(6, 88)(7, 73)(8, 96)(9, 99)(10, 80)(11, 84)(12, 97)(13, 81)(14, 87)(15, 75)(16, 83)(17, 91)(18, 93)(19, 77)(20, 86)(21, 78)(22, 102)(23, 101)(24, 94)(25, 98)(26, 106)(27, 95)(28, 92)(29, 103)(30, 105)(31, 89)(32, 100)(33, 90)(34, 107)(35, 108)(36, 104)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.502
Graph:: bipartite
	v = 3 e = 72 f = 15
	degree seq :: [ 36^2, 72 ]

E28.517 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 18, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2 * Y3^2, (Y2^-1, Y1), (R * Y3)^2, (Y3^-1, Y1), (R * Y2)^2, (R * Y1)^2, Y2^-6 * Y1, (Y3 * Y2^-1)^12, Y2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 8, 44, 13, 49)(4, 40, 9, 45, 15, 51)(6, 42, 10, 46, 17, 53)(7, 43, 11, 47, 18, 54)(12, 48, 20, 56, 25, 61)(14, 50, 21, 57, 27, 63)(16, 52, 22, 58, 28, 64)(19, 55, 23, 59, 30, 66)(24, 60, 32, 68, 31, 67)(26, 62, 33, 69, 35, 71)(29, 65, 34, 70, 36, 72)(73, 109, 75, 111, 84, 120, 96, 132, 95, 131, 82, 118, 74, 110, 80, 116, 92, 128, 104, 140, 102, 138, 89, 125, 77, 113, 85, 121, 97, 133, 103, 139, 91, 127, 78, 114)(76, 112, 79, 115, 86, 122, 98, 134, 106, 142, 94, 130, 81, 117, 83, 119, 93, 129, 105, 141, 108, 144, 100, 136, 87, 123, 90, 126, 99, 135, 107, 143, 101, 137, 88, 124)
	L = (1, 76)(2, 81)(3, 79)(4, 78)(5, 87)(6, 88)(7, 73)(8, 83)(9, 82)(10, 94)(11, 74)(12, 86)(13, 90)(14, 75)(15, 89)(16, 91)(17, 100)(18, 77)(19, 101)(20, 93)(21, 80)(22, 95)(23, 106)(24, 98)(25, 99)(26, 84)(27, 85)(28, 102)(29, 103)(30, 108)(31, 107)(32, 105)(33, 92)(34, 96)(35, 97)(36, 104)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 24, 72, 24, 72, 24, 72 ), ( 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72 ) }
Outer automorphisms :: reflexible
Dual of E28.521
Graph:: bipartite
	v = 14 e = 72 f = 4
	degree seq :: [ 6^12, 36^2 ]

E28.518 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 18, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2 * Y3^2, (R * Y1)^2, (Y2^-1, Y1), (R * Y2)^2, (Y3^-1, Y1), (R * Y3)^2, Y2^-6 * Y1^-1, (Y3 * Y2^-1)^12, Y2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 8, 44, 13, 49)(4, 40, 9, 45, 15, 51)(6, 42, 10, 46, 17, 53)(7, 43, 11, 47, 18, 54)(12, 48, 20, 56, 25, 61)(14, 50, 21, 57, 27, 63)(16, 52, 22, 58, 28, 64)(19, 55, 23, 59, 30, 66)(24, 60, 31, 67, 34, 70)(26, 62, 32, 68, 36, 72)(29, 65, 33, 69, 35, 71)(73, 109, 75, 111, 84, 120, 96, 132, 102, 138, 89, 125, 77, 113, 85, 121, 97, 133, 106, 142, 95, 131, 82, 118, 74, 110, 80, 116, 92, 128, 103, 139, 91, 127, 78, 114)(76, 112, 79, 115, 86, 122, 98, 134, 107, 143, 100, 136, 87, 123, 90, 126, 99, 135, 108, 144, 105, 141, 94, 130, 81, 117, 83, 119, 93, 129, 104, 140, 101, 137, 88, 124)
	L = (1, 76)(2, 81)(3, 79)(4, 78)(5, 87)(6, 88)(7, 73)(8, 83)(9, 82)(10, 94)(11, 74)(12, 86)(13, 90)(14, 75)(15, 89)(16, 91)(17, 100)(18, 77)(19, 101)(20, 93)(21, 80)(22, 95)(23, 105)(24, 98)(25, 99)(26, 84)(27, 85)(28, 102)(29, 103)(30, 107)(31, 104)(32, 92)(33, 106)(34, 108)(35, 96)(36, 97)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 24, 72, 24, 72, 24, 72 ), ( 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72 ) }
Outer automorphisms :: reflexible
Dual of E28.524
Graph:: bipartite
	v = 14 e = 72 f = 4
	degree seq :: [ 6^12, 36^2 ]

E28.519 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 18, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2 * Y3^2 * Y1^-1, (Y3, Y1^-1), (R * Y2)^2, Y3 * Y2 * Y3 * Y1^-1, (Y2^-1, Y3), (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y1^-1), Y2^5 * Y3^-2, Y3^6 * Y2^3, Y3^-36 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 8, 44, 13, 49)(4, 40, 9, 45, 15, 51)(6, 42, 10, 46, 17, 53)(7, 43, 11, 47, 18, 54)(12, 48, 20, 56, 25, 61)(14, 50, 21, 57, 27, 63)(16, 52, 22, 58, 28, 64)(19, 55, 23, 59, 30, 66)(24, 60, 32, 68, 31, 67)(26, 62, 33, 69, 35, 71)(29, 65, 34, 70, 36, 72)(73, 109, 75, 111, 84, 120, 96, 132, 95, 131, 82, 118, 74, 110, 80, 116, 92, 128, 104, 140, 102, 138, 89, 125, 77, 113, 85, 121, 97, 133, 103, 139, 91, 127, 78, 114)(76, 112, 83, 119, 93, 129, 105, 141, 106, 142, 94, 130, 81, 117, 90, 126, 99, 135, 107, 143, 108, 144, 100, 136, 87, 123, 79, 115, 86, 122, 98, 134, 101, 137, 88, 124)
	L = (1, 76)(2, 81)(3, 83)(4, 82)(5, 87)(6, 88)(7, 73)(8, 90)(9, 89)(10, 94)(11, 74)(12, 93)(13, 79)(14, 75)(15, 78)(16, 95)(17, 100)(18, 77)(19, 101)(20, 99)(21, 80)(22, 102)(23, 106)(24, 105)(25, 86)(26, 84)(27, 85)(28, 91)(29, 96)(30, 108)(31, 98)(32, 107)(33, 92)(34, 104)(35, 97)(36, 103)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 24, 72, 24, 72, 24, 72 ), ( 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72 ) }
Outer automorphisms :: reflexible
Dual of E28.523
Graph:: bipartite
	v = 14 e = 72 f = 4
	degree seq :: [ 6^12, 36^2 ]

E28.520 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 18, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y2, Y1^-1), Y1 * Y3 * Y2 * Y3, Y3 * Y1 * Y2 * Y3, (Y3^-1, Y2^-1), Y1^-1 * Y2^-1 * Y3^-2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^6 * Y1, Y2 * Y3^-1 * Y2^3 * Y3^-1 * Y2, Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^2, (Y3^-2 * Y2)^9 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 8, 44, 14, 50)(4, 40, 9, 45, 17, 53)(6, 42, 10, 46, 16, 52)(7, 43, 11, 47, 13, 49)(12, 48, 20, 56, 26, 62)(15, 51, 21, 57, 25, 61)(18, 54, 22, 58, 28, 64)(19, 55, 23, 59, 29, 65)(24, 60, 31, 67, 34, 70)(27, 63, 32, 68, 35, 71)(30, 66, 33, 69, 36, 72)(73, 109, 75, 111, 84, 120, 96, 132, 101, 137, 88, 124, 77, 113, 86, 122, 98, 134, 106, 142, 95, 131, 82, 118, 74, 110, 80, 116, 92, 128, 103, 139, 91, 127, 78, 114)(76, 112, 85, 121, 97, 133, 107, 143, 108, 144, 100, 136, 89, 125, 83, 119, 93, 129, 104, 140, 105, 141, 94, 130, 81, 117, 79, 115, 87, 123, 99, 135, 102, 138, 90, 126)
	L = (1, 76)(2, 81)(3, 85)(4, 88)(5, 89)(6, 90)(7, 73)(8, 79)(9, 78)(10, 94)(11, 74)(12, 97)(13, 77)(14, 83)(15, 75)(16, 100)(17, 82)(18, 101)(19, 102)(20, 87)(21, 80)(22, 91)(23, 105)(24, 107)(25, 86)(26, 93)(27, 84)(28, 95)(29, 108)(30, 96)(31, 99)(32, 92)(33, 103)(34, 104)(35, 98)(36, 106)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 24, 72, 24, 72, 24, 72 ), ( 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72, 24, 72 ) }
Outer automorphisms :: reflexible
Dual of E28.522
Graph:: bipartite
	v = 14 e = 72 f = 4
	degree seq :: [ 6^12, 36^2 ]

E28.521 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 18, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-3, Y2^-1 * Y1^-1 * Y2^-2, (Y2, Y1), (Y3^-1, Y2^-1), (R * Y2)^2, (Y3^-1, Y1), (R * Y3)^2, (R * Y1)^2, Y3^4, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1, Y2^-1 * Y1^-1 * Y3 * Y2 * Y1^-2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 4, 40, 10, 46, 22, 58, 17, 53, 26, 62, 19, 55, 7, 43, 12, 48, 5, 41)(3, 39, 9, 45, 21, 57, 14, 50, 24, 60, 33, 69, 30, 66, 35, 71, 31, 67, 16, 52, 25, 61, 15, 51)(6, 42, 11, 47, 23, 59, 18, 54, 27, 63, 34, 70, 32, 68, 36, 72, 29, 65, 20, 56, 28, 64, 13, 49)(73, 109, 75, 111, 85, 121, 77, 113, 87, 123, 100, 136, 84, 120, 97, 133, 92, 128, 79, 115, 88, 124, 101, 137, 91, 127, 103, 139, 108, 144, 98, 134, 107, 143, 104, 140, 89, 125, 102, 138, 106, 142, 94, 130, 105, 141, 99, 135, 82, 118, 96, 132, 90, 126, 76, 112, 86, 122, 95, 131, 80, 116, 93, 129, 83, 119, 74, 110, 81, 117, 78, 114)
	L = (1, 76)(2, 82)(3, 86)(4, 89)(5, 80)(6, 90)(7, 73)(8, 94)(9, 96)(10, 98)(11, 99)(12, 74)(13, 95)(14, 102)(15, 93)(16, 75)(17, 79)(18, 104)(19, 77)(20, 78)(21, 105)(22, 91)(23, 106)(24, 107)(25, 81)(26, 84)(27, 108)(28, 83)(29, 85)(30, 88)(31, 87)(32, 92)(33, 103)(34, 101)(35, 97)(36, 100)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36 ), ( 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.517
Graph:: bipartite
	v = 4 e = 72 f = 14
	degree seq :: [ 24^3, 72 ]

E28.522 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 18, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^3, (Y3, Y1), (R * Y3)^2, (Y2, Y3), (R * Y1)^2, (R * Y2)^2, (Y2^-1, Y1^-1), Y3^4, Y2^2 * Y3^-1 * Y2 * Y3^-1 * Y1^-1, Y3^-2 * Y2^3 * Y1^-1, Y1^-1 * Y2^-1 * Y3^-1 * Y1 * Y2 * Y3, Y3^-1 * Y2^-1 * Y1^-1 * Y2^-2 * Y1^-1, (Y3^-1 * Y1^-1)^3, (Y1^-1 * Y2)^9, (Y3^2 * Y1)^12 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 4, 40, 10, 46, 24, 60, 17, 53, 29, 65, 20, 56, 7, 43, 12, 48, 5, 41)(3, 39, 9, 45, 23, 59, 14, 50, 27, 63, 21, 57, 31, 67, 36, 72, 34, 70, 16, 52, 28, 64, 15, 51)(6, 42, 11, 47, 25, 61, 18, 54, 30, 66, 35, 71, 33, 69, 13, 49, 26, 62, 22, 58, 32, 68, 19, 55)(73, 109, 75, 111, 85, 121, 101, 137, 108, 144, 97, 133, 80, 116, 95, 131, 94, 130, 79, 115, 88, 124, 102, 138, 82, 118, 99, 135, 91, 127, 77, 113, 87, 123, 105, 141, 89, 125, 103, 139, 83, 119, 74, 110, 81, 117, 98, 134, 92, 128, 106, 142, 90, 126, 76, 112, 86, 122, 104, 140, 84, 120, 100, 136, 107, 143, 96, 132, 93, 129, 78, 114)
	L = (1, 76)(2, 82)(3, 86)(4, 89)(5, 80)(6, 90)(7, 73)(8, 96)(9, 99)(10, 101)(11, 102)(12, 74)(13, 104)(14, 103)(15, 95)(16, 75)(17, 79)(18, 105)(19, 97)(20, 77)(21, 106)(22, 78)(23, 93)(24, 92)(25, 107)(26, 91)(27, 108)(28, 81)(29, 84)(30, 85)(31, 88)(32, 83)(33, 94)(34, 87)(35, 98)(36, 100)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36 ), ( 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.520
Graph:: bipartite
	v = 4 e = 72 f = 14
	degree seq :: [ 24^3, 72 ]

E28.523 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 18, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, (Y3, Y1^-1), Y3 * Y2^-3, (Y3 * Y1^-1)^2, (Y2^-1, Y1), (R * Y2)^2, (R * Y3)^2, Y1^2 * Y3^-2, (R * Y1)^2, Y3^-3 * Y1^-3, Y1^-1 * Y2^2 * Y3 * Y1^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 21, 57, 19, 55, 7, 43, 12, 48, 4, 40, 10, 46, 23, 59, 17, 53, 5, 41)(3, 39, 9, 45, 22, 58, 33, 69, 30, 66, 16, 52, 27, 63, 14, 50, 26, 62, 36, 72, 29, 65, 15, 51)(6, 42, 11, 47, 24, 60, 34, 70, 32, 68, 20, 56, 28, 64, 13, 49, 25, 61, 35, 71, 31, 67, 18, 54)(73, 109, 75, 111, 85, 121, 76, 112, 86, 122, 96, 132, 80, 116, 94, 130, 107, 143, 95, 131, 108, 144, 104, 140, 91, 127, 102, 138, 90, 126, 77, 113, 87, 123, 100, 136, 84, 120, 99, 135, 83, 119, 74, 110, 81, 117, 97, 133, 82, 118, 98, 134, 106, 142, 93, 129, 105, 141, 103, 139, 89, 125, 101, 137, 92, 128, 79, 115, 88, 124, 78, 114)
	L = (1, 76)(2, 82)(3, 86)(4, 80)(5, 84)(6, 85)(7, 73)(8, 95)(9, 98)(10, 93)(11, 97)(12, 74)(13, 96)(14, 94)(15, 99)(16, 75)(17, 79)(18, 100)(19, 77)(20, 78)(21, 89)(22, 108)(23, 91)(24, 107)(25, 106)(26, 105)(27, 81)(28, 83)(29, 88)(30, 87)(31, 92)(32, 90)(33, 101)(34, 103)(35, 104)(36, 102)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36 ), ( 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.519
Graph:: bipartite
	v = 4 e = 72 f = 14
	degree seq :: [ 24^3, 72 ]

E28.524 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 18, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, (Y3 * Y1^-1)^2, Y2^-3 * Y1^-1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y2^-1, Y3^-1), Y1^-1 * Y3^2 * Y1^-1, Y3^-1 * Y1^-5, Y3^-5 * Y1^-1, Y3 * Y2 * Y1^-1 * Y3 * Y2^2, (Y3^-1 * Y1^-1)^3, Y3^12, (Y1 * Y2 * Y3^2)^9 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 21, 57, 19, 55, 7, 43, 12, 48, 4, 40, 10, 46, 23, 59, 18, 54, 5, 41)(3, 39, 9, 45, 22, 58, 33, 69, 32, 68, 16, 52, 26, 62, 14, 50, 25, 61, 35, 71, 31, 67, 15, 51)(6, 42, 11, 47, 24, 60, 34, 70, 30, 66, 20, 56, 28, 64, 17, 53, 27, 63, 36, 72, 29, 65, 13, 49)(73, 109, 75, 111, 85, 121, 77, 113, 87, 123, 101, 137, 90, 126, 103, 139, 108, 144, 95, 131, 107, 143, 99, 135, 82, 118, 97, 133, 89, 125, 76, 112, 86, 122, 100, 136, 84, 120, 98, 134, 92, 128, 79, 115, 88, 124, 102, 138, 91, 127, 104, 140, 106, 142, 93, 129, 105, 141, 96, 132, 80, 116, 94, 130, 83, 119, 74, 110, 81, 117, 78, 114)
	L = (1, 76)(2, 82)(3, 86)(4, 80)(5, 84)(6, 89)(7, 73)(8, 95)(9, 97)(10, 93)(11, 99)(12, 74)(13, 100)(14, 94)(15, 98)(16, 75)(17, 96)(18, 79)(19, 77)(20, 78)(21, 90)(22, 107)(23, 91)(24, 108)(25, 105)(26, 81)(27, 106)(28, 83)(29, 92)(30, 85)(31, 88)(32, 87)(33, 103)(34, 101)(35, 104)(36, 102)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36 ), ( 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.518
Graph:: bipartite
	v = 4 e = 72 f = 14
	degree seq :: [ 24^3, 72 ]

E28.525 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 36, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1^-1 * Y2^-3, (Y3, Y2^-1), (R * Y3)^2, (Y1, Y2), (R * Y2)^2, (Y3^-1, Y1^-1), (R * Y1)^2, Y3^4 * Y2 * Y1^-1, Y3 * Y1 * Y3 * Y2^-1 * Y3^2 * Y2^-1, (Y1 * Y2 * Y3^2)^18, (Y1^-1 * Y3^-1)^36 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 8, 44, 14, 50)(4, 40, 9, 45, 17, 53)(6, 42, 10, 46, 12, 48)(7, 43, 11, 47, 19, 55)(13, 49, 22, 58, 30, 66)(15, 51, 23, 59, 31, 67)(16, 52, 24, 60, 33, 69)(18, 54, 25, 61, 28, 64)(20, 56, 26, 62, 29, 65)(21, 57, 27, 63, 35, 71)(32, 68, 36, 72, 34, 70)(73, 109, 75, 111, 84, 120, 77, 113, 86, 122, 82, 118, 74, 110, 80, 116, 78, 114)(76, 112, 85, 121, 100, 136, 89, 125, 102, 138, 97, 133, 81, 117, 94, 130, 90, 126)(79, 115, 87, 123, 101, 137, 91, 127, 103, 139, 98, 134, 83, 119, 95, 131, 92, 128)(88, 124, 99, 135, 108, 144, 105, 141, 93, 129, 104, 140, 96, 132, 107, 143, 106, 142)
	L = (1, 76)(2, 81)(3, 85)(4, 88)(5, 89)(6, 90)(7, 73)(8, 94)(9, 96)(10, 97)(11, 74)(12, 100)(13, 99)(14, 102)(15, 75)(16, 98)(17, 105)(18, 106)(19, 77)(20, 78)(21, 79)(22, 107)(23, 80)(24, 101)(25, 104)(26, 82)(27, 83)(28, 108)(29, 84)(30, 93)(31, 86)(32, 87)(33, 92)(34, 103)(35, 91)(36, 95)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 72^6 ), ( 72^18 ) }
Outer automorphisms :: reflexible
Dual of E28.539
Graph:: bipartite
	v = 16 e = 72 f = 2
	degree seq :: [ 6^12, 18^4 ]

E28.526 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 36, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3 * Y1^-1, (Y2^-1, Y1^-1), (R * Y2)^2, (Y3, Y2^-1), (R * Y1)^2, (Y3^-1, Y1^-1), (R * Y3)^2, Y3^3 * Y2 * Y3 * Y1^-1, Y2^-1 * Y1 * Y3^-1 * Y2^-2 * Y3, Y1^-1 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y1^-1 * Y3^2, (Y1^-1 * Y3^-1)^36 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 8, 44, 13, 49)(4, 40, 9, 45, 16, 52)(6, 42, 10, 46, 18, 54)(7, 43, 11, 47, 19, 55)(12, 48, 22, 58, 28, 64)(14, 50, 23, 59, 29, 65)(15, 51, 24, 60, 31, 67)(17, 53, 25, 61, 32, 68)(20, 56, 26, 62, 33, 69)(21, 57, 27, 63, 34, 70)(30, 66, 35, 71, 36, 72)(73, 109, 75, 111, 82, 118, 74, 110, 80, 116, 90, 126, 77, 113, 85, 121, 78, 114)(76, 112, 84, 120, 97, 133, 81, 117, 94, 130, 104, 140, 88, 124, 100, 136, 89, 125)(79, 115, 86, 122, 98, 134, 83, 119, 95, 131, 105, 141, 91, 127, 101, 137, 92, 128)(87, 123, 99, 135, 107, 143, 96, 132, 106, 142, 108, 144, 103, 139, 93, 129, 102, 138)
	L = (1, 76)(2, 81)(3, 84)(4, 87)(5, 88)(6, 89)(7, 73)(8, 94)(9, 96)(10, 97)(11, 74)(12, 99)(13, 100)(14, 75)(15, 98)(16, 103)(17, 102)(18, 104)(19, 77)(20, 78)(21, 79)(22, 106)(23, 80)(24, 105)(25, 107)(26, 82)(27, 83)(28, 93)(29, 85)(30, 86)(31, 92)(32, 108)(33, 90)(34, 91)(35, 95)(36, 101)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 72^6 ), ( 72^18 ) }
Outer automorphisms :: reflexible
Dual of E28.540
Graph:: bipartite
	v = 16 e = 72 f = 2
	degree seq :: [ 6^12, 18^4 ]

E28.527 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 36, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^2, (Y2, Y3^-1), (Y1, Y2^-1), (Y2^-1, Y3^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1^3 * Y3 * Y1, Y2 * Y1 * Y2 * Y1 * Y2^2, (Y1^-1 * Y2^-1 * Y1^-1)^12, (Y2^-1 * Y3)^36 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 19, 55, 7, 43, 4, 40, 10, 46, 17, 53, 5, 41)(3, 39, 9, 45, 22, 58, 33, 69, 15, 51, 13, 49, 25, 61, 32, 68, 14, 50)(6, 42, 11, 47, 23, 59, 35, 71, 21, 57, 16, 52, 26, 62, 28, 64, 18, 54)(12, 48, 24, 60, 20, 56, 27, 63, 31, 67, 29, 65, 36, 72, 34, 70, 30, 66)(73, 109, 75, 111, 84, 120, 100, 136, 89, 125, 104, 140, 106, 142, 88, 124, 76, 112, 85, 121, 101, 137, 107, 143, 91, 127, 105, 141, 99, 135, 83, 119, 74, 110, 81, 117, 96, 132, 90, 126, 77, 113, 86, 122, 102, 138, 98, 134, 82, 118, 97, 133, 108, 144, 93, 129, 79, 115, 87, 123, 103, 139, 95, 131, 80, 116, 94, 130, 92, 128, 78, 114)
	L = (1, 76)(2, 82)(3, 85)(4, 74)(5, 79)(6, 88)(7, 73)(8, 89)(9, 97)(10, 80)(11, 98)(12, 101)(13, 81)(14, 87)(15, 75)(16, 83)(17, 91)(18, 93)(19, 77)(20, 106)(21, 78)(22, 104)(23, 100)(24, 108)(25, 94)(26, 95)(27, 102)(28, 107)(29, 96)(30, 103)(31, 84)(32, 105)(33, 86)(34, 99)(35, 90)(36, 92)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72 ), ( 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72 ) }
Outer automorphisms :: reflexible
Dual of E28.535
Graph:: bipartite
	v = 5 e = 72 f = 13
	degree seq :: [ 18^4, 72 ]

E28.528 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 36, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y3, (Y1^-1, Y2^-1), (R * Y2)^2, (R * Y3)^2, (Y2, Y3), (R * Y1)^2, Y2^-2 * Y1 * Y2^-2, Y1 * Y2^-4, Y1 * Y3^4, (Y2^-1 * Y3)^36 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 4, 40, 9, 45, 15, 51, 21, 57, 18, 54, 7, 43, 5, 41)(3, 39, 8, 44, 12, 48, 23, 59, 27, 63, 29, 65, 28, 64, 14, 50, 13, 49)(6, 42, 10, 46, 16, 52, 24, 60, 30, 66, 33, 69, 31, 67, 20, 56, 17, 53)(11, 47, 22, 58, 25, 61, 34, 70, 35, 71, 36, 72, 32, 68, 26, 62, 19, 55)(73, 109, 75, 111, 83, 119, 82, 118, 74, 110, 80, 116, 94, 130, 88, 124, 76, 112, 84, 120, 97, 133, 96, 132, 81, 117, 95, 131, 106, 142, 102, 138, 87, 123, 99, 135, 107, 143, 105, 141, 93, 129, 101, 137, 108, 144, 103, 139, 90, 126, 100, 136, 104, 140, 92, 128, 79, 115, 86, 122, 98, 134, 89, 125, 77, 113, 85, 121, 91, 127, 78, 114)
	L = (1, 76)(2, 81)(3, 84)(4, 87)(5, 74)(6, 88)(7, 73)(8, 95)(9, 93)(10, 96)(11, 97)(12, 99)(13, 80)(14, 75)(15, 90)(16, 102)(17, 82)(18, 77)(19, 94)(20, 78)(21, 79)(22, 106)(23, 101)(24, 105)(25, 107)(26, 83)(27, 100)(28, 85)(29, 86)(30, 103)(31, 89)(32, 91)(33, 92)(34, 108)(35, 104)(36, 98)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72 ), ( 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72 ) }
Outer automorphisms :: reflexible
Dual of E28.538
Graph:: bipartite
	v = 5 e = 72 f = 13
	degree seq :: [ 18^4, 72 ]

E28.529 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 36, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y3, (Y2, Y1^-1), (Y3^-1, Y2), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y3^4, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-2, Y1^-1 * Y2^28 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 4, 40, 9, 45, 15, 51, 21, 57, 18, 54, 7, 43, 5, 41)(3, 39, 8, 44, 12, 48, 23, 59, 30, 66, 32, 68, 31, 67, 14, 50, 13, 49)(6, 42, 10, 46, 16, 52, 24, 60, 26, 62, 36, 72, 34, 70, 20, 56, 17, 53)(11, 47, 22, 58, 27, 63, 35, 71, 33, 69, 19, 55, 25, 61, 29, 65, 28, 64)(73, 109, 75, 111, 83, 119, 98, 134, 87, 123, 102, 138, 105, 141, 89, 125, 77, 113, 85, 121, 100, 136, 96, 132, 81, 117, 95, 131, 107, 143, 92, 128, 79, 115, 86, 122, 101, 137, 88, 124, 76, 112, 84, 120, 99, 135, 106, 142, 90, 126, 103, 139, 97, 133, 82, 118, 74, 110, 80, 116, 94, 130, 108, 144, 93, 129, 104, 140, 91, 127, 78, 114)
	L = (1, 76)(2, 81)(3, 84)(4, 87)(5, 74)(6, 88)(7, 73)(8, 95)(9, 93)(10, 96)(11, 99)(12, 102)(13, 80)(14, 75)(15, 90)(16, 98)(17, 82)(18, 77)(19, 101)(20, 78)(21, 79)(22, 107)(23, 104)(24, 108)(25, 100)(26, 106)(27, 105)(28, 94)(29, 83)(30, 103)(31, 85)(32, 86)(33, 97)(34, 89)(35, 91)(36, 92)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72 ), ( 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72 ) }
Outer automorphisms :: reflexible
Dual of E28.537
Graph:: bipartite
	v = 5 e = 72 f = 13
	degree seq :: [ 18^4, 72 ]

E28.530 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 36, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^2, (Y2, Y3^-1), (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y2)^2, Y1^-1 * Y2^4, Y1^3 * Y3 * Y1, (Y2^-2 * Y3)^2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 19, 55, 7, 43, 4, 40, 10, 46, 17, 53, 5, 41)(3, 39, 9, 45, 22, 58, 30, 66, 15, 51, 13, 49, 25, 61, 29, 65, 14, 50)(6, 42, 11, 47, 23, 59, 33, 69, 21, 57, 16, 52, 26, 62, 31, 67, 18, 54)(12, 48, 24, 60, 35, 71, 34, 70, 28, 64, 27, 63, 36, 72, 32, 68, 20, 56)(73, 109, 75, 111, 84, 120, 83, 119, 74, 110, 81, 117, 96, 132, 95, 131, 80, 116, 94, 130, 107, 143, 105, 141, 91, 127, 102, 138, 106, 142, 93, 129, 79, 115, 87, 123, 100, 136, 88, 124, 76, 112, 85, 121, 99, 135, 98, 134, 82, 118, 97, 133, 108, 144, 103, 139, 89, 125, 101, 137, 104, 140, 90, 126, 77, 113, 86, 122, 92, 128, 78, 114)
	L = (1, 76)(2, 82)(3, 85)(4, 74)(5, 79)(6, 88)(7, 73)(8, 89)(9, 97)(10, 80)(11, 98)(12, 99)(13, 81)(14, 87)(15, 75)(16, 83)(17, 91)(18, 93)(19, 77)(20, 100)(21, 78)(22, 101)(23, 103)(24, 108)(25, 94)(26, 95)(27, 96)(28, 84)(29, 102)(30, 86)(31, 105)(32, 106)(33, 90)(34, 92)(35, 104)(36, 107)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72 ), ( 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72 ) }
Outer automorphisms :: reflexible
Dual of E28.534
Graph:: bipartite
	v = 5 e = 72 f = 13
	degree seq :: [ 18^4, 72 ]

E28.531 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 36, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^-1, (Y2, Y3^-1), (R * Y3)^2, (R * Y2)^2, (Y2^-1, Y1^-1), (R * Y1)^2, Y1^-4 * Y3^-1, Y2^-2 * Y3^-1 * Y2^-2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^2 * Y1^-2, (Y1^-1 * Y2^-2)^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 19, 55, 7, 43, 4, 40, 10, 46, 17, 53, 5, 41)(3, 39, 9, 45, 22, 58, 31, 67, 15, 51, 13, 49, 25, 61, 30, 66, 14, 50)(6, 42, 11, 47, 23, 59, 33, 69, 21, 57, 16, 52, 26, 62, 32, 68, 18, 54)(12, 48, 24, 60, 34, 70, 36, 72, 29, 65, 20, 56, 27, 63, 35, 71, 28, 64)(73, 109, 75, 111, 84, 120, 93, 129, 79, 115, 87, 123, 101, 137, 90, 126, 77, 113, 86, 122, 100, 136, 105, 141, 91, 127, 103, 139, 108, 144, 104, 140, 89, 125, 102, 138, 107, 143, 95, 131, 80, 116, 94, 130, 106, 142, 98, 134, 82, 118, 97, 133, 99, 135, 83, 119, 74, 110, 81, 117, 96, 132, 88, 124, 76, 112, 85, 121, 92, 128, 78, 114)
	L = (1, 76)(2, 82)(3, 85)(4, 74)(5, 79)(6, 88)(7, 73)(8, 89)(9, 97)(10, 80)(11, 98)(12, 92)(13, 81)(14, 87)(15, 75)(16, 83)(17, 91)(18, 93)(19, 77)(20, 96)(21, 78)(22, 102)(23, 104)(24, 99)(25, 94)(26, 95)(27, 106)(28, 101)(29, 84)(30, 103)(31, 86)(32, 105)(33, 90)(34, 107)(35, 108)(36, 100)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72 ), ( 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72 ) }
Outer automorphisms :: reflexible
Dual of E28.533
Graph:: bipartite
	v = 5 e = 72 f = 13
	degree seq :: [ 18^4, 72 ]

E28.532 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 36, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3 * Y1^-1, Y1^-2 * Y3, (Y1^-1, Y2^-1), (R * Y2)^2, (R * Y1)^2, (Y2, Y3), (R * Y3)^2, Y2^-2 * Y3^-1 * Y2^-2, Y1 * Y3^4, Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y1 * Y2, (Y2^-1 * Y3)^36 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 4, 40, 9, 45, 15, 51, 21, 57, 18, 54, 7, 43, 5, 41)(3, 39, 8, 44, 12, 48, 23, 59, 28, 64, 30, 66, 29, 65, 14, 50, 13, 49)(6, 42, 10, 46, 16, 52, 24, 60, 31, 67, 34, 70, 33, 69, 20, 56, 17, 53)(11, 47, 22, 58, 19, 55, 25, 61, 32, 68, 35, 71, 36, 72, 27, 63, 26, 62)(73, 109, 75, 111, 83, 119, 92, 128, 79, 115, 86, 122, 99, 135, 106, 142, 93, 129, 102, 138, 107, 143, 96, 132, 81, 117, 95, 131, 97, 133, 82, 118, 74, 110, 80, 116, 94, 130, 89, 125, 77, 113, 85, 121, 98, 134, 105, 141, 90, 126, 101, 137, 108, 144, 103, 139, 87, 123, 100, 136, 104, 140, 88, 124, 76, 112, 84, 120, 91, 127, 78, 114)
	L = (1, 76)(2, 81)(3, 84)(4, 87)(5, 74)(6, 88)(7, 73)(8, 95)(9, 93)(10, 96)(11, 91)(12, 100)(13, 80)(14, 75)(15, 90)(16, 103)(17, 82)(18, 77)(19, 104)(20, 78)(21, 79)(22, 97)(23, 102)(24, 106)(25, 107)(26, 94)(27, 83)(28, 101)(29, 85)(30, 86)(31, 105)(32, 108)(33, 89)(34, 92)(35, 99)(36, 98)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72 ), ( 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72 ) }
Outer automorphisms :: reflexible
Dual of E28.536
Graph:: bipartite
	v = 5 e = 72 f = 13
	degree seq :: [ 18^4, 72 ]

E28.533 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 36, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3^3 * Y2^-1, (Y3^-1, Y2^-1), (Y1^-1, Y2^-1), (R * Y1)^2, (R * Y2)^2, (Y3^-1, Y1^-1), (R * Y3)^2, Y3 * Y2 * Y3 * Y2 * Y3, Y1^-2 * Y2 * Y3 * Y1^-2, Y1 * Y3 * Y1^2 * Y3 * Y2 * Y1, Y2 * Y1^2 * Y2 * Y1^2 * Y2 * Y1^2 * Y2 * Y1^2 * Y2 * Y1^2 * Y2 * Y1^2 * Y2 * Y1^2 * Y2 * Y1^2 * Y2 * Y1^2 * Y2 * Y1^2 * Y2 * Y1^2 * Y2 * Y1^2 * Y2 * Y1^2 * Y2 * Y1^2 * Y2 * Y1^2 * Y2 * Y1^2 * Y3 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 22, 58, 13, 49, 27, 63, 34, 70, 20, 56, 7, 43, 12, 48, 26, 62, 14, 50, 3, 39, 9, 45, 23, 59, 32, 68, 17, 53, 29, 65, 36, 72, 31, 67, 15, 51, 28, 64, 33, 69, 19, 55, 6, 42, 11, 47, 25, 61, 16, 52, 4, 40, 10, 46, 24, 60, 35, 71, 21, 57, 30, 66, 18, 54, 5, 41)(73, 109, 75, 111, 78, 114)(74, 110, 81, 117, 83, 119)(76, 112, 85, 121, 89, 125)(77, 113, 86, 122, 91, 127)(79, 115, 87, 123, 93, 129)(80, 116, 95, 131, 97, 133)(82, 118, 99, 135, 101, 137)(84, 120, 100, 136, 102, 138)(88, 124, 94, 130, 104, 140)(90, 126, 98, 134, 105, 141)(92, 128, 103, 139, 107, 143)(96, 132, 106, 142, 108, 144)
	L = (1, 76)(2, 82)(3, 85)(4, 87)(5, 88)(6, 89)(7, 73)(8, 96)(9, 99)(10, 100)(11, 101)(12, 74)(13, 93)(14, 94)(15, 75)(16, 103)(17, 79)(18, 97)(19, 104)(20, 77)(21, 78)(22, 107)(23, 106)(24, 105)(25, 108)(26, 80)(27, 102)(28, 81)(29, 84)(30, 83)(31, 86)(32, 92)(33, 95)(34, 90)(35, 91)(36, 98)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 18, 72, 18, 72, 18, 72 ), ( 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72 ) }
Outer automorphisms :: reflexible
Dual of E28.531
Graph:: bipartite
	v = 13 e = 72 f = 5
	degree seq :: [ 6^12, 72 ]

E28.534 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 36, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^3, (Y1^-1, Y2), (Y3, Y1^-1), (R * Y3)^2, (R * Y1)^2, Y3^-3 * Y2, (R * Y2)^2, Y2^-1 * Y1^-2 * Y3 * Y1^-2, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-3 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 22, 58, 17, 53, 29, 65, 36, 72, 34, 70, 21, 57, 30, 66, 32, 68, 14, 50, 3, 39, 9, 45, 23, 59, 16, 52, 4, 40, 10, 46, 24, 60, 20, 56, 7, 43, 12, 48, 26, 62, 19, 55, 6, 42, 11, 47, 25, 61, 31, 67, 13, 49, 27, 63, 35, 71, 33, 69, 15, 51, 28, 64, 18, 54, 5, 41)(73, 109, 75, 111, 78, 114)(74, 110, 81, 117, 83, 119)(76, 112, 85, 121, 89, 125)(77, 113, 86, 122, 91, 127)(79, 115, 87, 123, 93, 129)(80, 116, 95, 131, 97, 133)(82, 118, 99, 135, 101, 137)(84, 120, 100, 136, 102, 138)(88, 124, 103, 139, 94, 130)(90, 126, 104, 140, 98, 134)(92, 128, 105, 141, 106, 142)(96, 132, 107, 143, 108, 144)
	L = (1, 76)(2, 82)(3, 85)(4, 87)(5, 88)(6, 89)(7, 73)(8, 96)(9, 99)(10, 100)(11, 101)(12, 74)(13, 93)(14, 103)(15, 75)(16, 105)(17, 79)(18, 95)(19, 94)(20, 77)(21, 78)(22, 92)(23, 107)(24, 90)(25, 108)(26, 80)(27, 102)(28, 81)(29, 84)(30, 83)(31, 106)(32, 97)(33, 86)(34, 91)(35, 104)(36, 98)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 18, 72, 18, 72, 18, 72 ), ( 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72 ) }
Outer automorphisms :: reflexible
Dual of E28.530
Graph:: bipartite
	v = 13 e = 72 f = 5
	degree seq :: [ 6^12, 72 ]

E28.535 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 36, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y2^-1 * Y3^3, (R * Y2)^2, (Y2^-1, Y1^-1), (Y1^-1, Y3^-1), (R * Y1)^2, (Y2, Y3^-1), (R * Y3)^2, Y1 * Y3^-1 * Y1^3, Y2^-1 * Y3 * Y1 * Y3^2 * Y1^-1, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 16, 52, 4, 40, 10, 46, 23, 59, 31, 67, 15, 51, 26, 62, 30, 66, 14, 50, 3, 39, 9, 45, 22, 58, 29, 65, 13, 49, 25, 61, 36, 72, 35, 71, 21, 57, 28, 64, 33, 69, 19, 55, 6, 42, 11, 47, 24, 60, 32, 68, 17, 53, 27, 63, 34, 70, 20, 56, 7, 43, 12, 48, 18, 54, 5, 41)(73, 109, 75, 111, 78, 114)(74, 110, 81, 117, 83, 119)(76, 112, 85, 121, 89, 125)(77, 113, 86, 122, 91, 127)(79, 115, 87, 123, 93, 129)(80, 116, 94, 130, 96, 132)(82, 118, 97, 133, 99, 135)(84, 120, 98, 134, 100, 136)(88, 124, 101, 137, 104, 140)(90, 126, 102, 138, 105, 141)(92, 128, 103, 139, 107, 143)(95, 131, 108, 144, 106, 142)
	L = (1, 76)(2, 82)(3, 85)(4, 87)(5, 88)(6, 89)(7, 73)(8, 95)(9, 97)(10, 98)(11, 99)(12, 74)(13, 93)(14, 101)(15, 75)(16, 103)(17, 79)(18, 80)(19, 104)(20, 77)(21, 78)(22, 108)(23, 102)(24, 106)(25, 100)(26, 81)(27, 84)(28, 83)(29, 107)(30, 94)(31, 86)(32, 92)(33, 96)(34, 90)(35, 91)(36, 105)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 18, 72, 18, 72, 18, 72 ), ( 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72 ) }
Outer automorphisms :: reflexible
Dual of E28.527
Graph:: bipartite
	v = 13 e = 72 f = 5
	degree seq :: [ 6^12, 72 ]

E28.536 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 36, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y2^3, Y3^2 * Y2 * Y3, (Y2, Y1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1, Y1^-1), Y3 * Y1^-2 * Y2^-1 * Y1^-2, Y3 * Y1 * Y2^-1 * Y1 * Y3 * Y1^2, Y1^2 * Y3^-1 * Y2^-1 * Y1^2 * Y2^-1, (Y3 * Y2^-1)^9 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 22, 58, 18, 54, 30, 66, 35, 71, 21, 57, 7, 43, 12, 48, 26, 62, 20, 56, 6, 42, 11, 47, 25, 61, 31, 67, 13, 49, 27, 63, 36, 72, 34, 70, 16, 52, 29, 65, 32, 68, 14, 50, 3, 39, 9, 45, 23, 59, 17, 53, 4, 40, 10, 46, 24, 60, 33, 69, 15, 51, 28, 64, 19, 55, 5, 41)(73, 109, 75, 111, 78, 114)(74, 110, 81, 117, 83, 119)(76, 112, 85, 121, 90, 126)(77, 113, 86, 122, 92, 128)(79, 115, 87, 123, 88, 124)(80, 116, 95, 131, 97, 133)(82, 118, 99, 135, 102, 138)(84, 120, 100, 136, 101, 137)(89, 125, 103, 139, 94, 130)(91, 127, 104, 140, 98, 134)(93, 129, 105, 141, 106, 142)(96, 132, 108, 144, 107, 143)
	L = (1, 76)(2, 82)(3, 85)(4, 88)(5, 89)(6, 90)(7, 73)(8, 96)(9, 99)(10, 101)(11, 102)(12, 74)(13, 79)(14, 103)(15, 75)(16, 78)(17, 106)(18, 87)(19, 95)(20, 94)(21, 77)(22, 105)(23, 108)(24, 104)(25, 107)(26, 80)(27, 84)(28, 81)(29, 83)(30, 100)(31, 93)(32, 97)(33, 86)(34, 92)(35, 91)(36, 98)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 18, 72, 18, 72, 18, 72 ), ( 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72 ) }
Outer automorphisms :: reflexible
Dual of E28.532
Graph:: bipartite
	v = 13 e = 72 f = 5
	degree seq :: [ 6^12, 72 ]

E28.537 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 36, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3^-3 * Y2^-1, (Y3^-1, Y2^-1), (Y2^-1, Y1^-1), (R * Y1)^2, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y2)^2, Y3^-1 * Y2 * Y3^-2 * Y2, Y1^-1 * Y2 * Y3 * Y1^-3, Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1^2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 22, 58, 13, 49, 27, 63, 35, 71, 31, 67, 15, 51, 28, 64, 34, 70, 20, 56, 6, 42, 11, 47, 25, 61, 17, 53, 4, 40, 10, 46, 24, 60, 21, 57, 7, 43, 12, 48, 26, 62, 14, 50, 3, 39, 9, 45, 23, 59, 33, 69, 18, 54, 30, 66, 36, 72, 32, 68, 16, 52, 29, 65, 19, 55, 5, 41)(73, 109, 75, 111, 78, 114)(74, 110, 81, 117, 83, 119)(76, 112, 85, 121, 90, 126)(77, 113, 86, 122, 92, 128)(79, 115, 87, 123, 88, 124)(80, 116, 95, 131, 97, 133)(82, 118, 99, 135, 102, 138)(84, 120, 100, 136, 101, 137)(89, 125, 94, 130, 105, 141)(91, 127, 98, 134, 106, 142)(93, 129, 103, 139, 104, 140)(96, 132, 107, 143, 108, 144)
	L = (1, 76)(2, 82)(3, 85)(4, 88)(5, 89)(6, 90)(7, 73)(8, 96)(9, 99)(10, 101)(11, 102)(12, 74)(13, 79)(14, 94)(15, 75)(16, 78)(17, 104)(18, 87)(19, 97)(20, 105)(21, 77)(22, 93)(23, 107)(24, 91)(25, 108)(26, 80)(27, 84)(28, 81)(29, 83)(30, 100)(31, 86)(32, 92)(33, 103)(34, 95)(35, 98)(36, 106)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 18, 72, 18, 72, 18, 72 ), ( 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72 ) }
Outer automorphisms :: reflexible
Dual of E28.529
Graph:: bipartite
	v = 13 e = 72 f = 5
	degree seq :: [ 6^12, 72 ]

E28.538 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 36, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3^-3 * Y2^-1, (Y2, Y3), (R * Y3)^2, (R * Y2)^2, (Y3, Y1), (Y2^-1, Y1^-1), (R * Y1)^2, Y1 * Y3^-1 * Y1^3, Y2^-1 * Y3^-1 * Y1 * Y2 * Y3 * Y1^-1, (Y2^-1 * Y3)^9, (Y1^-1 * Y3^-1)^36 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 17, 53, 4, 40, 10, 46, 23, 59, 32, 68, 16, 52, 27, 63, 34, 70, 20, 56, 6, 42, 11, 47, 24, 60, 33, 69, 18, 54, 28, 64, 36, 72, 31, 67, 15, 51, 26, 62, 30, 66, 14, 50, 3, 39, 9, 45, 22, 58, 29, 65, 13, 49, 25, 61, 35, 71, 21, 57, 7, 43, 12, 48, 19, 55, 5, 41)(73, 109, 75, 111, 78, 114)(74, 110, 81, 117, 83, 119)(76, 112, 85, 121, 90, 126)(77, 113, 86, 122, 92, 128)(79, 115, 87, 123, 88, 124)(80, 116, 94, 130, 96, 132)(82, 118, 97, 133, 100, 136)(84, 120, 98, 134, 99, 135)(89, 125, 101, 137, 105, 141)(91, 127, 102, 138, 106, 142)(93, 129, 103, 139, 104, 140)(95, 131, 107, 143, 108, 144)
	L = (1, 76)(2, 82)(3, 85)(4, 88)(5, 89)(6, 90)(7, 73)(8, 95)(9, 97)(10, 99)(11, 100)(12, 74)(13, 79)(14, 101)(15, 75)(16, 78)(17, 104)(18, 87)(19, 80)(20, 105)(21, 77)(22, 107)(23, 106)(24, 108)(25, 84)(26, 81)(27, 83)(28, 98)(29, 93)(30, 94)(31, 86)(32, 92)(33, 103)(34, 96)(35, 91)(36, 102)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 18, 72, 18, 72, 18, 72 ), ( 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72, 18, 72 ) }
Outer automorphisms :: reflexible
Dual of E28.528
Graph:: bipartite
	v = 13 e = 72 f = 5
	degree seq :: [ 6^12, 72 ]

E28.539 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 36, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2 * Y1^-2, Y2^-1 * Y1^2 * Y3^-1, (Y2, Y1), Y3^-1 * Y1 * Y2^-1 * Y1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y2 * Y1 * Y3^-1 * Y2^-2, Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1, Y2^-3 * Y1^-1 * Y2^-2, (Y3 * Y2^-1)^3, Y2^-1 * Y1^-2 * Y3^-2 * Y1^-1, Y2 * Y1 * Y2 * Y1 * Y3^-4 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 22, 58, 19, 55, 7, 43, 12, 48, 3, 39, 9, 45, 23, 59, 21, 57, 30, 66, 14, 50, 26, 62, 13, 49, 25, 61, 34, 70, 33, 69, 36, 72, 32, 68, 35, 71, 31, 67, 20, 56, 29, 65, 16, 52, 28, 64, 15, 51, 27, 63, 18, 54, 6, 42, 11, 47, 4, 40, 10, 46, 24, 60, 17, 53, 5, 41)(73, 109, 75, 111, 85, 121, 103, 139, 90, 126, 77, 113, 84, 120, 98, 134, 107, 143, 99, 135, 89, 125, 79, 115, 86, 122, 104, 140, 87, 123, 96, 132, 91, 127, 102, 138, 108, 144, 100, 136, 82, 118, 94, 130, 93, 129, 105, 141, 88, 124, 76, 112, 80, 116, 95, 131, 106, 142, 101, 137, 83, 119, 74, 110, 81, 117, 97, 133, 92, 128, 78, 114)
	L = (1, 76)(2, 82)(3, 80)(4, 87)(5, 83)(6, 88)(7, 73)(8, 96)(9, 94)(10, 99)(11, 100)(12, 74)(13, 95)(14, 75)(15, 103)(16, 104)(17, 78)(18, 101)(19, 77)(20, 105)(21, 79)(22, 89)(23, 91)(24, 90)(25, 93)(26, 81)(27, 92)(28, 107)(29, 108)(30, 84)(31, 106)(32, 85)(33, 86)(34, 102)(35, 97)(36, 98)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.525
Graph:: bipartite
	v = 2 e = 72 f = 16
	degree seq :: [ 72^2 ]

E28.540 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 36, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, (Y3, Y1), (Y3^-1 * Y1)^2, Y1^-2 * Y3^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y2, Y3), (Y2^-1, Y1^-1), Y1^-1 * Y2^-2 * Y3^-1 * Y1^-2, Y1^-1 * Y3^-1 * Y2^3 * Y1^-1, Y3^-2 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y1 * Y2^4, (Y2^-1 * Y3)^3, (Y3^-1 * Y1^-1)^9 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 23, 59, 35, 71, 34, 70, 15, 51, 3, 39, 9, 45, 24, 60, 22, 58, 32, 68, 17, 53, 30, 66, 13, 49, 27, 63, 20, 56, 7, 43, 12, 48, 4, 40, 10, 46, 25, 61, 21, 57, 31, 67, 16, 52, 29, 65, 14, 50, 28, 64, 19, 55, 6, 42, 11, 47, 26, 62, 36, 72, 33, 69, 18, 54, 5, 41)(73, 109, 75, 111, 85, 121, 97, 133, 91, 127, 77, 113, 87, 123, 102, 138, 82, 118, 100, 136, 90, 126, 106, 142, 89, 125, 76, 112, 86, 122, 105, 141, 107, 143, 104, 140, 84, 120, 101, 137, 108, 144, 95, 131, 94, 130, 79, 115, 88, 124, 98, 134, 80, 116, 96, 132, 92, 128, 103, 139, 83, 119, 74, 110, 81, 117, 99, 135, 93, 129, 78, 114)
	L = (1, 76)(2, 82)(3, 86)(4, 80)(5, 84)(6, 89)(7, 73)(8, 97)(9, 100)(10, 95)(11, 102)(12, 74)(13, 105)(14, 96)(15, 101)(16, 75)(17, 98)(18, 79)(19, 104)(20, 77)(21, 106)(22, 78)(23, 93)(24, 91)(25, 107)(26, 85)(27, 90)(28, 94)(29, 81)(30, 108)(31, 87)(32, 83)(33, 92)(34, 88)(35, 103)(36, 99)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.526
Graph:: bipartite
	v = 2 e = 72 f = 16
	degree seq :: [ 72^2 ]

E28.541 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 38, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y1 * Y2, Y2 * Y1 * Y3, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^19, Y3^19, Y2^10 * Y3^-9, (Y3 * Y2^-1)^38 ]
Map:: non-degenerate
	R = (1, 39, 2, 40)(3, 41, 6, 44)(4, 42, 5, 43)(7, 45, 8, 46)(9, 47, 10, 48)(11, 49, 12, 50)(13, 51, 14, 52)(15, 53, 16, 54)(17, 55, 18, 56)(19, 57, 20, 58)(21, 59, 22, 60)(23, 61, 24, 62)(25, 63, 26, 64)(27, 65, 28, 66)(29, 67, 30, 68)(31, 69, 32, 70)(33, 71, 34, 72)(35, 73, 36, 74)(37, 75, 38, 76)(77, 115, 79, 117, 83, 121, 87, 125, 91, 129, 95, 133, 99, 137, 103, 141, 107, 145, 111, 149, 113, 151, 110, 148, 105, 143, 102, 140, 97, 135, 94, 132, 89, 127, 86, 124, 80, 118, 78, 116, 82, 120, 84, 122, 88, 126, 92, 130, 96, 134, 100, 138, 104, 142, 108, 146, 112, 150, 114, 152, 109, 147, 106, 144, 101, 139, 98, 136, 93, 131, 90, 128, 85, 123, 81, 119)
	L = (1, 80)(2, 81)(3, 78)(4, 85)(5, 86)(6, 77)(7, 82)(8, 79)(9, 89)(10, 90)(11, 84)(12, 83)(13, 93)(14, 94)(15, 88)(16, 87)(17, 97)(18, 98)(19, 92)(20, 91)(21, 101)(22, 102)(23, 96)(24, 95)(25, 105)(26, 106)(27, 100)(28, 99)(29, 109)(30, 110)(31, 104)(32, 103)(33, 113)(34, 114)(35, 108)(36, 107)(37, 112)(38, 111)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 76^4 ), ( 76^76 ) }
Outer automorphisms :: reflexible
Dual of E28.549
Graph:: bipartite
	v = 20 e = 76 f = 2
	degree seq :: [ 4^19, 76 ]

E28.542 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 38, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^2 * Y3, Y1 * Y2^-1 * Y1 * Y2, Y1 * Y3^-1 * Y1 * Y3, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2 * Y1 * Y3^-9, (Y3 * Y2^-1)^38 ]
Map:: non-degenerate
	R = (1, 39, 2, 40)(3, 41, 7, 45)(4, 42, 8, 46)(5, 43, 9, 47)(6, 44, 10, 48)(11, 49, 15, 53)(12, 50, 16, 54)(13, 51, 17, 55)(14, 52, 18, 56)(19, 57, 23, 61)(20, 58, 24, 62)(21, 59, 25, 63)(22, 60, 26, 64)(27, 65, 31, 69)(28, 66, 32, 70)(29, 67, 33, 71)(30, 68, 34, 72)(35, 73, 36, 74)(37, 75, 38, 76)(77, 115, 79, 117, 82, 120, 87, 125, 90, 128, 95, 133, 98, 136, 103, 141, 106, 144, 111, 149, 114, 152, 108, 146, 109, 147, 100, 138, 101, 139, 92, 130, 93, 131, 84, 122, 85, 123, 78, 116, 83, 121, 86, 124, 91, 129, 94, 132, 99, 137, 102, 140, 107, 145, 110, 148, 112, 150, 113, 151, 104, 142, 105, 143, 96, 134, 97, 135, 88, 126, 89, 127, 80, 118, 81, 119)
	L = (1, 80)(2, 84)(3, 81)(4, 88)(5, 89)(6, 77)(7, 85)(8, 92)(9, 93)(10, 78)(11, 79)(12, 96)(13, 97)(14, 82)(15, 83)(16, 100)(17, 101)(18, 86)(19, 87)(20, 104)(21, 105)(22, 90)(23, 91)(24, 108)(25, 109)(26, 94)(27, 95)(28, 112)(29, 113)(30, 98)(31, 99)(32, 111)(33, 114)(34, 102)(35, 103)(36, 107)(37, 110)(38, 106)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 76^4 ), ( 76^76 ) }
Outer automorphisms :: reflexible
Dual of E28.555
Graph:: bipartite
	v = 20 e = 76 f = 2
	degree seq :: [ 4^19, 76 ]

E28.543 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 38, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2, Y3^-1), Y3^-1 * Y1 * Y3 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2)^2, Y2^-3 * Y3^-1 * Y1, Y3^-6 * Y2 * Y1, Y3^-1 * Y2 * Y3^-2 * Y2^2 * Y3^-2 * Y2, Y3^-1 * Y2^-1 * Y3^2 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^2 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^2 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^2 * Y2^-1 * Y3^-3 * Y2^-1 * Y3^2 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 39, 2, 40)(3, 41, 7, 45)(4, 42, 8, 46)(5, 43, 9, 47)(6, 44, 10, 48)(11, 49, 17, 55)(12, 50, 16, 54)(13, 51, 19, 57)(14, 52, 20, 58)(15, 53, 21, 59)(18, 56, 22, 60)(23, 61, 29, 67)(24, 62, 28, 66)(25, 63, 31, 69)(26, 64, 32, 70)(27, 65, 33, 71)(30, 68, 34, 72)(35, 73, 38, 76)(36, 74, 37, 75)(77, 115, 79, 117, 87, 125, 86, 124, 95, 133, 105, 143, 94, 132, 101, 139, 111, 149, 110, 148, 102, 140, 112, 150, 109, 147, 96, 134, 104, 142, 91, 129, 80, 118, 88, 126, 85, 123, 78, 116, 83, 121, 93, 131, 82, 120, 89, 127, 99, 137, 98, 136, 107, 145, 114, 152, 106, 144, 108, 146, 113, 151, 103, 141, 90, 128, 100, 138, 97, 135, 84, 122, 92, 130, 81, 119)
	L = (1, 80)(2, 84)(3, 88)(4, 90)(5, 91)(6, 77)(7, 92)(8, 96)(9, 97)(10, 78)(11, 85)(12, 100)(13, 79)(14, 102)(15, 103)(16, 104)(17, 81)(18, 82)(19, 83)(20, 108)(21, 109)(22, 86)(23, 87)(24, 112)(25, 89)(26, 107)(27, 110)(28, 113)(29, 93)(30, 94)(31, 95)(32, 101)(33, 106)(34, 98)(35, 99)(36, 114)(37, 111)(38, 105)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 76^4 ), ( 76^76 ) }
Outer automorphisms :: reflexible
Dual of E28.554
Graph:: bipartite
	v = 20 e = 76 f = 2
	degree seq :: [ 4^19, 76 ]

E28.544 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 38, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y2)^2, (Y3, Y2), (R * Y3)^2, (R * Y1)^2, Y1 * Y2 * Y1 * Y2^-1, Y1 * Y3 * Y1 * Y3^-1, Y2^2 * Y3 * Y2^2, Y3^2 * Y1 * Y2 * Y3^3, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-2 * Y2 * Y1, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-2 * Y1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 39, 2, 40)(3, 41, 7, 45)(4, 42, 8, 46)(5, 43, 9, 47)(6, 44, 10, 48)(11, 49, 19, 57)(12, 50, 20, 58)(13, 51, 21, 59)(14, 52, 22, 60)(15, 53, 23, 61)(16, 54, 24, 62)(17, 55, 25, 63)(18, 56, 26, 64)(27, 65, 35, 73)(28, 66, 34, 72)(29, 67, 36, 74)(30, 68, 33, 71)(31, 69, 37, 75)(32, 70, 38, 76)(77, 115, 79, 117, 87, 125, 93, 131, 82, 120, 89, 127, 103, 141, 109, 147, 94, 132, 105, 143, 113, 151, 98, 136, 110, 148, 114, 152, 99, 137, 84, 122, 96, 134, 100, 138, 85, 123, 78, 116, 83, 121, 95, 133, 101, 139, 86, 124, 97, 135, 111, 149, 106, 144, 102, 140, 112, 150, 107, 145, 90, 128, 104, 142, 108, 146, 91, 129, 80, 118, 88, 126, 92, 130, 81, 119)
	L = (1, 80)(2, 84)(3, 88)(4, 90)(5, 91)(6, 77)(7, 96)(8, 98)(9, 99)(10, 78)(11, 92)(12, 104)(13, 79)(14, 106)(15, 107)(16, 108)(17, 81)(18, 82)(19, 100)(20, 110)(21, 83)(22, 109)(23, 113)(24, 114)(25, 85)(26, 86)(27, 87)(28, 102)(29, 89)(30, 101)(31, 111)(32, 112)(33, 93)(34, 94)(35, 95)(36, 97)(37, 103)(38, 105)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 76^4 ), ( 76^76 ) }
Outer automorphisms :: reflexible
Dual of E28.552
Graph:: bipartite
	v = 20 e = 76 f = 2
	degree seq :: [ 4^19, 76 ]

E28.545 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 38, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y2)^2, (Y2^-1, Y3), (R * Y1)^2, Y3 * Y1 * Y3^-1 * Y1, (R * Y3)^2, Y3^-2 * Y1 * Y3^-2 * Y2^-1, Y2^2 * Y1 * Y3 * Y2^3, Y3^-1 * Y2^3 * Y3^-2 * Y2 ]
Map:: non-degenerate
	R = (1, 39, 2, 40)(3, 41, 7, 45)(4, 42, 8, 46)(5, 43, 9, 47)(6, 44, 10, 48)(11, 49, 19, 57)(12, 50, 20, 58)(13, 51, 21, 59)(14, 52, 22, 60)(15, 53, 23, 61)(16, 54, 24, 62)(17, 55, 25, 63)(18, 56, 26, 64)(27, 65, 34, 72)(28, 66, 33, 71)(29, 67, 35, 73)(30, 68, 36, 74)(31, 69, 37, 75)(32, 70, 38, 76)(77, 115, 79, 117, 87, 125, 103, 141, 101, 139, 86, 124, 97, 135, 111, 149, 113, 151, 98, 136, 94, 132, 106, 144, 108, 146, 91, 129, 80, 118, 88, 126, 104, 142, 100, 138, 85, 123, 78, 116, 83, 121, 95, 133, 110, 148, 93, 131, 82, 120, 89, 127, 105, 143, 107, 145, 90, 128, 102, 140, 112, 150, 114, 152, 99, 137, 84, 122, 96, 134, 109, 147, 92, 130, 81, 119)
	L = (1, 80)(2, 84)(3, 88)(4, 90)(5, 91)(6, 77)(7, 96)(8, 98)(9, 99)(10, 78)(11, 104)(12, 102)(13, 79)(14, 101)(15, 107)(16, 108)(17, 81)(18, 82)(19, 109)(20, 94)(21, 83)(22, 93)(23, 113)(24, 114)(25, 85)(26, 86)(27, 100)(28, 112)(29, 87)(30, 89)(31, 103)(32, 105)(33, 106)(34, 92)(35, 95)(36, 97)(37, 110)(38, 111)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 76^4 ), ( 76^76 ) }
Outer automorphisms :: reflexible
Dual of E28.553
Graph:: bipartite
	v = 20 e = 76 f = 2
	degree seq :: [ 4^19, 76 ]

E28.546 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 38, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y2)^2, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, Y3 * Y1 * Y3^-1 * Y1, Y3^2 * Y1 * Y2^-1 * Y3, Y2^3 * Y3 * Y2^3, Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 39, 2, 40)(3, 41, 7, 45)(4, 42, 8, 46)(5, 43, 9, 47)(6, 44, 10, 48)(11, 49, 19, 57)(12, 50, 20, 58)(13, 51, 14, 52)(15, 53, 18, 56)(16, 54, 21, 59)(17, 55, 22, 60)(23, 61, 31, 69)(24, 62, 32, 70)(25, 63, 26, 64)(27, 65, 30, 68)(28, 66, 33, 71)(29, 67, 34, 72)(35, 73, 36, 74)(37, 75, 38, 76)(77, 115, 79, 117, 87, 125, 99, 137, 105, 143, 93, 131, 82, 120, 89, 127, 101, 139, 111, 149, 114, 152, 106, 144, 94, 132, 84, 122, 96, 134, 108, 146, 109, 147, 97, 135, 85, 123, 78, 116, 83, 121, 95, 133, 107, 145, 110, 148, 98, 136, 86, 124, 90, 128, 102, 140, 112, 150, 113, 151, 103, 141, 91, 129, 80, 118, 88, 126, 100, 138, 104, 142, 92, 130, 81, 119)
	L = (1, 80)(2, 84)(3, 88)(4, 90)(5, 91)(6, 77)(7, 96)(8, 89)(9, 94)(10, 78)(11, 100)(12, 102)(13, 79)(14, 83)(15, 86)(16, 103)(17, 81)(18, 82)(19, 108)(20, 101)(21, 106)(22, 85)(23, 104)(24, 112)(25, 87)(26, 95)(27, 98)(28, 113)(29, 92)(30, 93)(31, 109)(32, 111)(33, 114)(34, 97)(35, 99)(36, 107)(37, 110)(38, 105)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 76^4 ), ( 76^76 ) }
Outer automorphisms :: reflexible
Dual of E28.550
Graph:: bipartite
	v = 20 e = 76 f = 2
	degree seq :: [ 4^19, 76 ]

E28.547 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 38, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-1 * Y1 * Y2 * Y1, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3^-1 * Y1, (R * Y2)^2, Y2 * Y3 * Y2 * Y3^2, Y3^-1 * Y2 * Y1 * Y3 * Y2^-1 * Y1, Y2^-1 * Y3 * Y2^-2 * Y3 * Y2^-2 * Y1, Y3^-2 * Y2^5 * Y1, Y1 * Y3^3 * Y1 * Y3^2 * Y1 * Y3^3 * Y2^-1, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^2 * Y1 * Y3 ]
Map:: non-degenerate
	R = (1, 39, 2, 40)(3, 41, 7, 45)(4, 42, 8, 46)(5, 43, 9, 47)(6, 44, 10, 48)(11, 49, 19, 57)(12, 50, 20, 58)(13, 51, 21, 59)(14, 52, 22, 60)(15, 53, 23, 61)(16, 54, 24, 62)(17, 55, 25, 63)(18, 56, 26, 64)(27, 65, 33, 71)(28, 66, 34, 72)(29, 67, 35, 73)(30, 68, 36, 74)(31, 69, 37, 75)(32, 70, 38, 76)(77, 115, 79, 117, 87, 125, 103, 141, 112, 150, 98, 136, 101, 139, 86, 124, 97, 135, 110, 148, 107, 145, 91, 129, 80, 118, 88, 126, 94, 132, 105, 143, 114, 152, 100, 138, 85, 123, 78, 116, 83, 121, 95, 133, 109, 147, 106, 144, 90, 128, 93, 131, 82, 120, 89, 127, 104, 142, 113, 151, 99, 137, 84, 122, 96, 134, 102, 140, 111, 149, 108, 146, 92, 130, 81, 119)
	L = (1, 80)(2, 84)(3, 88)(4, 90)(5, 91)(6, 77)(7, 96)(8, 98)(9, 99)(10, 78)(11, 94)(12, 93)(13, 79)(14, 92)(15, 106)(16, 107)(17, 81)(18, 82)(19, 102)(20, 101)(21, 83)(22, 100)(23, 112)(24, 113)(25, 85)(26, 86)(27, 105)(28, 87)(29, 89)(30, 108)(31, 109)(32, 110)(33, 111)(34, 95)(35, 97)(36, 114)(37, 103)(38, 104)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 76^4 ), ( 76^76 ) }
Outer automorphisms :: reflexible
Dual of E28.556
Graph:: bipartite
	v = 20 e = 76 f = 2
	degree seq :: [ 4^19, 76 ]

E28.548 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 38, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y1 * Y2^-1 * Y1, (Y3, Y2^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y1 * Y3^-1 * Y1, Y2^-2 * Y3 * Y2^-1 * Y3 * Y1, Y3^-4 * Y2^-1 * Y3^-1 * Y2^-1, Y2^4 * Y3 * Y2^4 ]
Map:: non-degenerate
	R = (1, 39, 2, 40)(3, 41, 7, 45)(4, 42, 8, 46)(5, 43, 9, 47)(6, 44, 10, 48)(11, 49, 19, 57)(12, 50, 20, 58)(13, 51, 21, 59)(14, 52, 22, 60)(15, 53, 23, 61)(16, 54, 24, 62)(17, 55, 25, 63)(18, 56, 26, 64)(27, 65, 33, 71)(28, 66, 34, 72)(29, 67, 35, 73)(30, 68, 36, 74)(31, 69, 37, 75)(32, 70, 38, 76)(77, 115, 79, 117, 87, 125, 98, 136, 110, 148, 114, 152, 106, 144, 93, 131, 82, 120, 89, 127, 99, 137, 84, 122, 96, 134, 109, 147, 105, 143, 107, 145, 94, 132, 100, 138, 85, 123, 78, 116, 83, 121, 95, 133, 90, 128, 104, 142, 108, 146, 112, 150, 101, 139, 86, 124, 97, 135, 91, 129, 80, 118, 88, 126, 103, 141, 111, 149, 113, 151, 102, 140, 92, 130, 81, 119)
	L = (1, 80)(2, 84)(3, 88)(4, 90)(5, 91)(6, 77)(7, 96)(8, 98)(9, 99)(10, 78)(11, 103)(12, 104)(13, 79)(14, 105)(15, 95)(16, 97)(17, 81)(18, 82)(19, 109)(20, 110)(21, 83)(22, 111)(23, 87)(24, 89)(25, 85)(26, 86)(27, 108)(28, 107)(29, 106)(30, 92)(31, 93)(32, 94)(33, 114)(34, 113)(35, 112)(36, 100)(37, 101)(38, 102)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 76^4 ), ( 76^76 ) }
Outer automorphisms :: reflexible
Dual of E28.551
Graph:: bipartite
	v = 20 e = 76 f = 2
	degree seq :: [ 4^19, 76 ]

E28.549 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 38, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3^-1, Y1^2 * Y3^2, Y1^-2 * Y3^-2, (Y1, Y3^-1), (Y1^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1^9 * Y2^-1, Y3^6 * Y1^-3 * Y2 ]
Map:: non-degenerate
	R = (1, 39, 2, 40, 8, 46, 19, 57, 27, 65, 35, 73, 32, 70, 23, 61, 14, 52, 3, 41, 9, 47, 18, 56, 22, 60, 30, 68, 38, 76, 34, 72, 25, 63, 16, 54, 4, 42, 10, 48, 7, 45, 12, 50, 21, 59, 29, 67, 37, 75, 31, 69, 24, 62, 13, 51, 17, 55, 6, 44, 11, 49, 20, 58, 28, 66, 36, 74, 33, 71, 26, 64, 15, 53, 5, 43)(77, 115, 79, 117, 80, 118, 89, 127, 91, 129, 99, 137, 101, 139, 107, 145, 109, 147, 111, 149, 114, 152, 105, 143, 104, 142, 95, 133, 98, 136, 88, 126, 87, 125, 78, 116, 85, 123, 86, 124, 93, 131, 81, 119, 90, 128, 92, 130, 100, 138, 102, 140, 108, 146, 110, 148, 113, 151, 112, 150, 103, 141, 106, 144, 97, 135, 96, 134, 84, 122, 94, 132, 83, 121, 82, 120)
	L = (1, 80)(2, 86)(3, 89)(4, 91)(5, 92)(6, 79)(7, 77)(8, 83)(9, 93)(10, 81)(11, 85)(12, 78)(13, 99)(14, 100)(15, 101)(16, 102)(17, 90)(18, 82)(19, 88)(20, 94)(21, 84)(22, 87)(23, 107)(24, 108)(25, 109)(26, 110)(27, 97)(28, 98)(29, 95)(30, 96)(31, 111)(32, 113)(33, 114)(34, 112)(35, 105)(36, 106)(37, 103)(38, 104)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76 ) }
Outer automorphisms :: reflexible
Dual of E28.541
Graph:: bipartite
	v = 2 e = 76 f = 20
	degree seq :: [ 76^2 ]

E28.550 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 38, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^2, Y1^2 * Y3^2, (Y1, Y3^-1), (Y1^-1 * Y3^-1)^2, (Y1, Y2^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3^3 * Y1^-1 * Y3 * Y2^-1 * Y1^-4, Y3 * Y1^-18, Y3^19, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 39, 2, 40, 8, 46, 19, 57, 27, 65, 35, 73, 34, 72, 25, 63, 18, 56, 6, 44, 11, 49, 14, 52, 22, 60, 30, 68, 38, 76, 32, 70, 23, 61, 16, 54, 4, 42, 10, 48, 7, 45, 12, 50, 21, 59, 29, 67, 37, 75, 33, 71, 26, 64, 17, 55, 13, 51, 3, 41, 9, 47, 20, 58, 28, 66, 36, 74, 31, 69, 24, 62, 15, 53, 5, 43)(77, 115, 79, 117, 83, 121, 90, 128, 84, 122, 96, 134, 97, 135, 106, 144, 103, 141, 112, 150, 113, 151, 108, 146, 110, 148, 100, 138, 102, 140, 92, 130, 94, 132, 81, 119, 89, 127, 86, 124, 87, 125, 78, 116, 85, 123, 88, 126, 98, 136, 95, 133, 104, 142, 105, 143, 114, 152, 111, 149, 107, 145, 109, 147, 99, 137, 101, 139, 91, 129, 93, 131, 80, 118, 82, 120)
	L = (1, 80)(2, 86)(3, 82)(4, 91)(5, 92)(6, 93)(7, 77)(8, 83)(9, 87)(10, 81)(11, 89)(12, 78)(13, 94)(14, 79)(15, 99)(16, 100)(17, 101)(18, 102)(19, 88)(20, 90)(21, 84)(22, 85)(23, 107)(24, 108)(25, 109)(26, 110)(27, 97)(28, 98)(29, 95)(30, 96)(31, 114)(32, 112)(33, 111)(34, 113)(35, 105)(36, 106)(37, 103)(38, 104)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76 ) }
Outer automorphisms :: reflexible
Dual of E28.546
Graph:: bipartite
	v = 2 e = 76 f = 20
	degree seq :: [ 76^2 ]

E28.551 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 38, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^2, (R * Y2)^2, (Y2, Y1^-1), Y2^-3 * Y1^-1, (Y1^-1 * Y3^-1)^2, (Y3^-1, Y2), (R * Y3)^2, (Y1^-1, Y3), (R * Y1)^2, Y1^-4 * Y2 * Y1^-1 * Y3, Y3^-1 * Y1^2 * Y2^-1 * Y3^-2 * Y1, Y3^-1 * Y1^2 * Y3^-2 * Y1 * Y2^-1, Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1, Y1 * Y3^-1 * Y2 * Y3^-4 * Y2^-2, Y3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y3^-2 * Y1 ]
Map:: non-degenerate
	R = (1, 39, 2, 40, 8, 46, 21, 59, 32, 70, 14, 52, 25, 63, 16, 54, 26, 64, 36, 74, 37, 75, 30, 68, 13, 51, 6, 44, 11, 49, 23, 61, 33, 71, 18, 56, 4, 42, 10, 48, 7, 45, 12, 50, 24, 62, 31, 69, 15, 53, 3, 41, 9, 47, 22, 60, 35, 73, 38, 76, 29, 67, 19, 57, 27, 65, 20, 58, 28, 66, 34, 72, 17, 55, 5, 43)(77, 115, 79, 117, 89, 127, 81, 119, 91, 129, 106, 144, 93, 131, 107, 145, 113, 151, 110, 148, 100, 138, 112, 150, 104, 142, 88, 126, 102, 140, 96, 134, 83, 121, 92, 130, 103, 141, 86, 124, 101, 139, 95, 133, 80, 118, 90, 128, 105, 143, 94, 132, 108, 146, 114, 152, 109, 147, 97, 135, 111, 149, 99, 137, 84, 122, 98, 136, 87, 125, 78, 116, 85, 123, 82, 120)
	L = (1, 80)(2, 86)(3, 90)(4, 93)(5, 94)(6, 95)(7, 77)(8, 83)(9, 101)(10, 81)(11, 103)(12, 78)(13, 105)(14, 107)(15, 108)(16, 79)(17, 109)(18, 110)(19, 106)(20, 82)(21, 88)(22, 92)(23, 96)(24, 84)(25, 91)(26, 85)(27, 89)(28, 87)(29, 113)(30, 114)(31, 97)(32, 100)(33, 104)(34, 99)(35, 102)(36, 98)(37, 111)(38, 112)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76 ) }
Outer automorphisms :: reflexible
Dual of E28.548
Graph:: bipartite
	v = 2 e = 76 f = 20
	degree seq :: [ 76^2 ]

E28.552 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 38, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y1^-1), Y2^2 * Y1^-1 * Y2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), Y1 * Y3^2 * Y1, (Y2, Y3), (R * Y1)^2, (R * Y2)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-2 * Y1^-1, Y3^-2 * Y2 * Y3^-1 * Y1 * Y3^-2, Y1^4 * Y2 * Y3^-1 * Y1, Y2 * Y1 * Y3^-1 * Y1^2 * Y3^-2, Y2 * Y3^-1 * Y1 * Y2^-1 * Y1 * Y3^-2 * Y1 * Y2, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1, (Y2^-1 * Y3)^38 ]
Map:: non-degenerate
	R = (1, 39, 2, 40, 8, 46, 21, 59, 34, 72, 18, 56, 27, 65, 20, 58, 28, 66, 36, 74, 38, 76, 29, 67, 14, 52, 3, 41, 9, 47, 22, 60, 31, 69, 17, 55, 4, 42, 10, 48, 7, 45, 12, 50, 24, 62, 33, 71, 19, 57, 6, 44, 11, 49, 23, 61, 35, 73, 37, 75, 30, 68, 13, 51, 25, 63, 15, 53, 26, 64, 32, 70, 16, 54, 5, 43)(77, 115, 79, 117, 87, 125, 78, 116, 85, 123, 99, 137, 84, 122, 98, 136, 111, 149, 97, 135, 107, 145, 113, 151, 110, 148, 93, 131, 106, 144, 94, 132, 80, 118, 89, 127, 103, 141, 86, 124, 101, 139, 96, 134, 83, 121, 91, 129, 104, 142, 88, 126, 102, 140, 112, 150, 100, 138, 108, 146, 114, 152, 109, 147, 92, 130, 105, 143, 95, 133, 81, 119, 90, 128, 82, 120)
	L = (1, 80)(2, 86)(3, 89)(4, 92)(5, 93)(6, 94)(7, 77)(8, 83)(9, 101)(10, 81)(11, 103)(12, 78)(13, 105)(14, 106)(15, 79)(16, 107)(17, 108)(18, 109)(19, 110)(20, 82)(21, 88)(22, 91)(23, 96)(24, 84)(25, 90)(26, 85)(27, 95)(28, 87)(29, 113)(30, 114)(31, 102)(32, 98)(33, 97)(34, 100)(35, 104)(36, 99)(37, 112)(38, 111)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76 ) }
Outer automorphisms :: reflexible
Dual of E28.544
Graph:: bipartite
	v = 2 e = 76 f = 20
	degree seq :: [ 76^2 ]

E28.553 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 38, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ R^2, (Y1^-1, Y3), (Y3^-1 * Y1^-1)^2, Y3^-2 * Y1^-2, (Y2^-1, Y1^-1), (R * Y3)^2, (R * Y2)^2, (Y2, Y3), (R * Y1)^2, Y2^-3 * Y3 * Y2^-1, Y1 * Y3^-3 * Y2 * Y3^-1, Y3 * Y1^-1 * Y2^-1 * Y3 * Y1^-2, Y3^-1 * Y2 * Y1 * Y3 * Y2^-1 * Y1^-1, Y3^-2 * Y2^-2 * Y1 * Y3^-1 * Y2^-1, Y3^-2 * Y1 * Y2^-1 * Y3^-1 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 39, 2, 40, 8, 46, 23, 61, 20, 58, 6, 44, 11, 49, 25, 63, 33, 71, 37, 75, 21, 59, 31, 69, 36, 74, 14, 52, 28, 66, 16, 54, 29, 67, 18, 56, 4, 42, 10, 48, 7, 45, 12, 50, 26, 64, 19, 57, 30, 68, 22, 60, 32, 70, 34, 72, 13, 51, 27, 65, 38, 76, 35, 73, 15, 53, 3, 41, 9, 47, 24, 62, 17, 55, 5, 43)(77, 115, 79, 117, 89, 127, 95, 133, 80, 118, 90, 128, 109, 147, 99, 137, 93, 131, 111, 149, 108, 146, 88, 126, 105, 143, 107, 145, 87, 125, 78, 116, 85, 123, 103, 141, 106, 144, 86, 124, 104, 142, 113, 151, 96, 134, 81, 119, 91, 129, 110, 148, 102, 140, 94, 132, 112, 150, 101, 139, 84, 122, 100, 138, 114, 152, 98, 136, 83, 121, 92, 130, 97, 135, 82, 120)
	L = (1, 80)(2, 86)(3, 90)(4, 93)(5, 94)(6, 95)(7, 77)(8, 83)(9, 104)(10, 81)(11, 106)(12, 78)(13, 109)(14, 111)(15, 112)(16, 79)(17, 105)(18, 100)(19, 99)(20, 102)(21, 89)(22, 82)(23, 88)(24, 92)(25, 98)(26, 84)(27, 113)(28, 91)(29, 85)(30, 96)(31, 103)(32, 87)(33, 108)(34, 101)(35, 107)(36, 114)(37, 110)(38, 97)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76 ) }
Outer automorphisms :: reflexible
Dual of E28.545
Graph:: bipartite
	v = 2 e = 76 f = 20
	degree seq :: [ 76^2 ]

E28.554 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 38, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-2 * Y1^-1, (Y3^-1 * Y1^-1)^2, (Y2, Y3), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1), (Y2^-1, Y1), Y3 * Y2^4, Y1^-2 * Y3^2 * Y2 * Y1^-1, Y3^-4 * Y2^-1 * Y1, Y2^-1 * Y3^-2 * Y2 * Y1^-2, Y2 * Y1^2 * Y3^-1 * Y2^2 * Y1, Y2 * Y1^3 * Y2^2 * Y3^-1, Y1^18 * Y3^-1, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 39, 2, 40, 8, 46, 23, 61, 15, 53, 3, 41, 9, 47, 24, 62, 37, 75, 33, 71, 13, 51, 27, 65, 36, 74, 19, 57, 30, 68, 22, 60, 32, 70, 18, 56, 4, 42, 10, 48, 7, 45, 12, 50, 26, 64, 14, 52, 28, 66, 16, 54, 29, 67, 38, 76, 21, 59, 31, 69, 34, 72, 35, 73, 20, 58, 6, 44, 11, 49, 25, 63, 17, 55, 5, 43)(77, 115, 79, 117, 89, 127, 98, 136, 83, 121, 92, 130, 110, 148, 101, 139, 84, 122, 100, 138, 112, 150, 94, 132, 102, 140, 114, 152, 96, 134, 81, 119, 91, 129, 109, 147, 106, 144, 86, 124, 104, 142, 107, 145, 87, 125, 78, 116, 85, 123, 103, 141, 108, 146, 88, 126, 105, 143, 111, 149, 93, 131, 99, 137, 113, 151, 95, 133, 80, 118, 90, 128, 97, 135, 82, 120)
	L = (1, 80)(2, 86)(3, 90)(4, 93)(5, 94)(6, 95)(7, 77)(8, 83)(9, 104)(10, 81)(11, 106)(12, 78)(13, 97)(14, 99)(15, 102)(16, 79)(17, 108)(18, 101)(19, 111)(20, 112)(21, 113)(22, 82)(23, 88)(24, 92)(25, 98)(26, 84)(27, 107)(28, 91)(29, 85)(30, 96)(31, 109)(32, 87)(33, 114)(34, 89)(35, 103)(36, 110)(37, 105)(38, 100)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76 ) }
Outer automorphisms :: reflexible
Dual of E28.543
Graph:: bipartite
	v = 2 e = 76 f = 20
	degree seq :: [ 76^2 ]

E28.555 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 38, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^2 * Y1, (R * Y1)^2, (Y2^-1, Y3), (Y1^-1, Y3), (Y1^-1 * Y3^-1)^2, (R * Y3)^2, (R * Y2)^2, (Y1^-1, Y2), Y2^2 * Y3^-3, Y2^-1 * Y1 * Y2^2 * Y1^-1 * Y2^-1, Y2 * Y3 * Y2^2 * Y1^-1 * Y2^2, Y2^-7 * Y1^-1, Y3 * Y2^12, Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y3^-2 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-1, Y1^38 ]
Map:: non-degenerate
	R = (1, 39, 2, 40, 8, 46, 23, 61, 36, 74, 29, 67, 33, 71, 14, 52, 25, 63, 16, 54, 20, 58, 6, 44, 11, 49, 24, 62, 37, 75, 31, 69, 13, 51, 18, 56, 4, 42, 10, 48, 7, 45, 12, 50, 21, 59, 27, 65, 38, 76, 32, 70, 15, 53, 3, 41, 9, 47, 19, 57, 26, 64, 22, 60, 28, 66, 35, 73, 30, 68, 34, 72, 17, 55, 5, 43)(77, 115, 79, 117, 89, 127, 105, 143, 104, 142, 88, 126, 96, 134, 81, 119, 91, 129, 107, 145, 112, 150, 98, 136, 83, 121, 92, 130, 93, 131, 108, 146, 113, 151, 99, 137, 102, 140, 86, 124, 101, 139, 110, 148, 114, 152, 100, 138, 84, 122, 95, 133, 80, 118, 90, 128, 106, 144, 103, 141, 87, 125, 78, 116, 85, 123, 94, 132, 109, 147, 111, 149, 97, 135, 82, 120)
	L = (1, 80)(2, 86)(3, 90)(4, 93)(5, 94)(6, 95)(7, 77)(8, 83)(9, 101)(10, 81)(11, 102)(12, 78)(13, 106)(14, 108)(15, 109)(16, 79)(17, 89)(18, 110)(19, 92)(20, 85)(21, 84)(22, 82)(23, 88)(24, 98)(25, 91)(26, 96)(27, 99)(28, 87)(29, 103)(30, 113)(31, 111)(32, 105)(33, 114)(34, 107)(35, 100)(36, 97)(37, 104)(38, 112)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76 ) }
Outer automorphisms :: reflexible
Dual of E28.542
Graph:: bipartite
	v = 2 e = 76 f = 20
	degree seq :: [ 76^2 ]

E28.556 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 38, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1 * Y1^-1)^2, (Y3^-1, Y1^-1), Y3^2 * Y1^2, (R * Y3)^2, (Y2, Y3), (R * Y1)^2, (Y1^-1, Y2), (R * Y2)^2, Y2 * Y3 * Y2 * Y1^-2, Y3^-3 * Y2^-2, Y2 * Y1 * Y3^-1 * Y2^4, Y1^-1 * Y3^2 * Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y1^-1, (Y2^-1 * Y3)^38 ]
Map:: non-degenerate
	R = (1, 39, 2, 40, 8, 46, 23, 61, 30, 68, 36, 74, 33, 71, 19, 57, 28, 66, 22, 60, 15, 53, 3, 41, 9, 47, 24, 62, 37, 75, 35, 73, 21, 59, 18, 56, 4, 42, 10, 48, 7, 45, 12, 50, 13, 51, 25, 63, 38, 76, 32, 70, 20, 58, 6, 44, 11, 49, 14, 52, 26, 64, 16, 54, 27, 65, 29, 67, 34, 72, 31, 69, 17, 55, 5, 43)(77, 115, 79, 117, 89, 127, 105, 143, 109, 147, 94, 132, 87, 125, 78, 116, 85, 123, 101, 139, 110, 148, 95, 133, 80, 118, 90, 128, 84, 122, 100, 138, 114, 152, 107, 145, 104, 142, 86, 124, 102, 140, 99, 137, 113, 151, 108, 146, 93, 131, 98, 136, 83, 121, 92, 130, 106, 144, 111, 149, 96, 134, 81, 119, 91, 129, 88, 126, 103, 141, 112, 150, 97, 135, 82, 120)
	L = (1, 80)(2, 86)(3, 90)(4, 93)(5, 94)(6, 95)(7, 77)(8, 83)(9, 102)(10, 81)(11, 104)(12, 78)(13, 84)(14, 98)(15, 87)(16, 79)(17, 97)(18, 107)(19, 108)(20, 109)(21, 110)(22, 82)(23, 88)(24, 92)(25, 99)(26, 91)(27, 85)(28, 96)(29, 100)(30, 89)(31, 111)(32, 112)(33, 114)(34, 113)(35, 105)(36, 101)(37, 103)(38, 106)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76 ) }
Outer automorphisms :: reflexible
Dual of E28.547
Graph:: bipartite
	v = 2 e = 76 f = 20
	degree seq :: [ 76^2 ]

E28.557 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {5, 5, 8, 8})
Quotient :: edge^2
Aut^+ = C5 : C8 (small group id <40, 1>)
Aut   = (C5 x D8) : C2 (small group id <80, 15>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y2^5, Y1^5, Y3^8 ]
Map:: non-degenerate
	R = (1, 41, 4, 44, 12, 52, 22, 62, 32, 72, 23, 63, 13, 53, 5, 45)(2, 42, 7, 47, 16, 56, 26, 66, 35, 75, 27, 67, 17, 57, 8, 48)(3, 43, 10, 50, 20, 60, 30, 70, 38, 78, 31, 71, 21, 61, 11, 51)(6, 46, 14, 54, 24, 64, 33, 73, 39, 79, 34, 74, 25, 65, 15, 55)(9, 49, 18, 58, 28, 68, 36, 76, 40, 80, 37, 77, 29, 69, 19, 59)(81, 82, 86, 89, 83)(84, 90, 98, 94, 87)(85, 91, 99, 95, 88)(92, 96, 104, 108, 100)(93, 97, 105, 109, 101)(102, 110, 116, 113, 106)(103, 111, 117, 114, 107)(112, 115, 119, 120, 118)(121, 123, 129, 126, 122)(124, 127, 134, 138, 130)(125, 128, 135, 139, 131)(132, 140, 148, 144, 136)(133, 141, 149, 145, 137)(142, 146, 153, 156, 150)(143, 147, 154, 157, 151)(152, 158, 160, 159, 155)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 32^5 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E28.560
Graph:: simple bipartite
	v = 21 e = 80 f = 5
	degree seq :: [ 5^16, 16^5 ]

E28.558 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {5, 5, 8, 8})
Quotient :: edge^2
Aut^+ = C5 : C8 (small group id <40, 1>)
Aut   = C8 x D10 (small group id <80, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1, Y3 * Y1^-1 * Y3 * Y2^-1, (R * Y3)^2, R * Y2 * R * Y1, Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1, Y3^5, Y1^8, Y2^8 ]
Map:: non-degenerate
	R = (1, 41, 4, 44, 12, 52, 13, 53, 5, 45)(2, 42, 7, 47, 17, 57, 18, 58, 8, 48)(3, 43, 10, 50, 22, 62, 23, 63, 11, 51)(6, 46, 15, 55, 27, 67, 28, 68, 16, 56)(9, 49, 20, 60, 31, 71, 32, 72, 21, 61)(14, 54, 25, 65, 35, 75, 36, 76, 26, 66)(19, 59, 29, 69, 37, 77, 38, 78, 30, 70)(24, 64, 33, 73, 39, 79, 40, 80, 34, 74)(81, 82, 86, 94, 104, 99, 89, 83)(84, 88, 95, 106, 113, 110, 100, 91)(85, 87, 96, 105, 114, 109, 101, 90)(92, 98, 107, 116, 119, 118, 111, 103)(93, 97, 108, 115, 120, 117, 112, 102)(121, 123, 129, 139, 144, 134, 126, 122)(124, 131, 140, 150, 153, 146, 135, 128)(125, 130, 141, 149, 154, 145, 136, 127)(132, 143, 151, 158, 159, 156, 147, 138)(133, 142, 152, 157, 160, 155, 148, 137)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 20^8 ), ( 20^10 ) }
Outer automorphisms :: reflexible
Dual of E28.561
Graph:: simple bipartite
	v = 18 e = 80 f = 8
	degree seq :: [ 8^10, 10^8 ]

E28.559 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {5, 5, 8, 8})
Quotient :: edge^2
Aut^+ = C5 : C8 (small group id <40, 1>)
Aut   = C8 x D10 (small group id <80, 4>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1 * Y1, Y2 * Y1 * Y3, R * Y2 * R * Y1, (R * Y3)^2, Y3^5, Y3^2 * Y1^-1 * Y3^-2 * Y2^-1, Y2 * Y1^-1 * Y3^-1 * Y2^-1 * Y1 * Y3^-2, Y1^2 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-1, Y2^8, Y1^8 ]
Map:: non-degenerate
	R = (1, 41, 4, 44, 14, 54, 19, 59, 7, 47)(2, 42, 6, 46, 18, 58, 24, 64, 10, 50)(3, 43, 12, 52, 27, 67, 15, 55, 5, 45)(8, 48, 9, 49, 23, 63, 33, 73, 17, 57)(11, 51, 16, 56, 30, 70, 28, 68, 13, 53)(20, 60, 21, 61, 32, 72, 38, 78, 22, 62)(25, 65, 29, 69, 39, 79, 31, 71, 26, 66)(34, 74, 35, 75, 37, 77, 40, 80, 36, 76)(81, 82, 88, 100, 114, 106, 91, 85)(83, 87, 86, 97, 101, 116, 105, 93)(84, 90, 89, 102, 115, 111, 96, 95)(92, 99, 98, 113, 112, 120, 109, 108)(94, 104, 103, 118, 117, 119, 110, 107)(121, 123, 131, 145, 154, 141, 128, 126)(122, 124, 125, 136, 146, 155, 140, 129)(127, 132, 133, 149, 156, 152, 137, 138)(130, 134, 135, 150, 151, 157, 142, 143)(139, 147, 148, 159, 160, 158, 153, 144)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 20^8 ), ( 20^10 ) }
Outer automorphisms :: reflexible
Dual of E28.562
Graph:: simple bipartite
	v = 18 e = 80 f = 8
	degree seq :: [ 8^10, 10^8 ]

E28.560 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {5, 5, 8, 8})
Quotient :: loop^2
Aut^+ = C5 : C8 (small group id <40, 1>)
Aut   = (C5 x D8) : C2 (small group id <80, 15>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y2^5, Y1^5, Y3^8 ]
Map:: non-degenerate
	R = (1, 41, 81, 121, 4, 44, 84, 124, 12, 52, 92, 132, 22, 62, 102, 142, 32, 72, 112, 152, 23, 63, 103, 143, 13, 53, 93, 133, 5, 45, 85, 125)(2, 42, 82, 122, 7, 47, 87, 127, 16, 56, 96, 136, 26, 66, 106, 146, 35, 75, 115, 155, 27, 67, 107, 147, 17, 57, 97, 137, 8, 48, 88, 128)(3, 43, 83, 123, 10, 50, 90, 130, 20, 60, 100, 140, 30, 70, 110, 150, 38, 78, 118, 158, 31, 71, 111, 151, 21, 61, 101, 141, 11, 51, 91, 131)(6, 46, 86, 126, 14, 54, 94, 134, 24, 64, 104, 144, 33, 73, 113, 153, 39, 79, 119, 159, 34, 74, 114, 154, 25, 65, 105, 145, 15, 55, 95, 135)(9, 49, 89, 129, 18, 58, 98, 138, 28, 68, 108, 148, 36, 76, 116, 156, 40, 80, 120, 160, 37, 77, 117, 157, 29, 69, 109, 149, 19, 59, 99, 139)
	L = (1, 42)(2, 46)(3, 41)(4, 50)(5, 51)(6, 49)(7, 44)(8, 45)(9, 43)(10, 58)(11, 59)(12, 56)(13, 57)(14, 47)(15, 48)(16, 64)(17, 65)(18, 54)(19, 55)(20, 52)(21, 53)(22, 70)(23, 71)(24, 68)(25, 69)(26, 62)(27, 63)(28, 60)(29, 61)(30, 76)(31, 77)(32, 75)(33, 66)(34, 67)(35, 79)(36, 73)(37, 74)(38, 72)(39, 80)(40, 78)(81, 123)(82, 121)(83, 129)(84, 127)(85, 128)(86, 122)(87, 134)(88, 135)(89, 126)(90, 124)(91, 125)(92, 140)(93, 141)(94, 138)(95, 139)(96, 132)(97, 133)(98, 130)(99, 131)(100, 148)(101, 149)(102, 146)(103, 147)(104, 136)(105, 137)(106, 153)(107, 154)(108, 144)(109, 145)(110, 142)(111, 143)(112, 158)(113, 156)(114, 157)(115, 152)(116, 150)(117, 151)(118, 160)(119, 155)(120, 159)
	local type(s) :: { ( 5, 16, 5, 16, 5, 16, 5, 16, 5, 16, 5, 16, 5, 16, 5, 16, 5, 16, 5, 16, 5, 16, 5, 16, 5, 16, 5, 16, 5, 16, 5, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.557
Transitivity :: VT+
Graph::
	v = 5 e = 80 f = 21
	degree seq :: [ 32^5 ]

E28.561 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {5, 5, 8, 8})
Quotient :: loop^2
Aut^+ = C5 : C8 (small group id <40, 1>)
Aut   = C8 x D10 (small group id <80, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1, Y3 * Y1^-1 * Y3 * Y2^-1, (R * Y3)^2, R * Y2 * R * Y1, Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1, Y3^5, Y1^8, Y2^8 ]
Map:: non-degenerate
	R = (1, 41, 81, 121, 4, 44, 84, 124, 12, 52, 92, 132, 13, 53, 93, 133, 5, 45, 85, 125)(2, 42, 82, 122, 7, 47, 87, 127, 17, 57, 97, 137, 18, 58, 98, 138, 8, 48, 88, 128)(3, 43, 83, 123, 10, 50, 90, 130, 22, 62, 102, 142, 23, 63, 103, 143, 11, 51, 91, 131)(6, 46, 86, 126, 15, 55, 95, 135, 27, 67, 107, 147, 28, 68, 108, 148, 16, 56, 96, 136)(9, 49, 89, 129, 20, 60, 100, 140, 31, 71, 111, 151, 32, 72, 112, 152, 21, 61, 101, 141)(14, 54, 94, 134, 25, 65, 105, 145, 35, 75, 115, 155, 36, 76, 116, 156, 26, 66, 106, 146)(19, 59, 99, 139, 29, 69, 109, 149, 37, 77, 117, 157, 38, 78, 118, 158, 30, 70, 110, 150)(24, 64, 104, 144, 33, 73, 113, 153, 39, 79, 119, 159, 40, 80, 120, 160, 34, 74, 114, 154)
	L = (1, 42)(2, 46)(3, 41)(4, 48)(5, 47)(6, 54)(7, 56)(8, 55)(9, 43)(10, 45)(11, 44)(12, 58)(13, 57)(14, 64)(15, 66)(16, 65)(17, 68)(18, 67)(19, 49)(20, 51)(21, 50)(22, 53)(23, 52)(24, 59)(25, 74)(26, 73)(27, 76)(28, 75)(29, 61)(30, 60)(31, 63)(32, 62)(33, 70)(34, 69)(35, 80)(36, 79)(37, 72)(38, 71)(39, 78)(40, 77)(81, 123)(82, 121)(83, 129)(84, 131)(85, 130)(86, 122)(87, 125)(88, 124)(89, 139)(90, 141)(91, 140)(92, 143)(93, 142)(94, 126)(95, 128)(96, 127)(97, 133)(98, 132)(99, 144)(100, 150)(101, 149)(102, 152)(103, 151)(104, 134)(105, 136)(106, 135)(107, 138)(108, 137)(109, 154)(110, 153)(111, 158)(112, 157)(113, 146)(114, 145)(115, 148)(116, 147)(117, 160)(118, 159)(119, 156)(120, 155)
	local type(s) :: { ( 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10 ) }
Outer automorphisms :: reflexible
Dual of E28.558
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 80 f = 18
	degree seq :: [ 20^8 ]

E28.562 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {5, 5, 8, 8})
Quotient :: loop^2
Aut^+ = C5 : C8 (small group id <40, 1>)
Aut   = C8 x D10 (small group id <80, 4>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1 * Y1, Y2 * Y1 * Y3, R * Y2 * R * Y1, (R * Y3)^2, Y3^5, Y3^2 * Y1^-1 * Y3^-2 * Y2^-1, Y2 * Y1^-1 * Y3^-1 * Y2^-1 * Y1 * Y3^-2, Y1^2 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-1, Y2^8, Y1^8 ]
Map:: non-degenerate
	R = (1, 41, 81, 121, 4, 44, 84, 124, 14, 54, 94, 134, 19, 59, 99, 139, 7, 47, 87, 127)(2, 42, 82, 122, 6, 46, 86, 126, 18, 58, 98, 138, 24, 64, 104, 144, 10, 50, 90, 130)(3, 43, 83, 123, 12, 52, 92, 132, 27, 67, 107, 147, 15, 55, 95, 135, 5, 45, 85, 125)(8, 48, 88, 128, 9, 49, 89, 129, 23, 63, 103, 143, 33, 73, 113, 153, 17, 57, 97, 137)(11, 51, 91, 131, 16, 56, 96, 136, 30, 70, 110, 150, 28, 68, 108, 148, 13, 53, 93, 133)(20, 60, 100, 140, 21, 61, 101, 141, 32, 72, 112, 152, 38, 78, 118, 158, 22, 62, 102, 142)(25, 65, 105, 145, 29, 69, 109, 149, 39, 79, 119, 159, 31, 71, 111, 151, 26, 66, 106, 146)(34, 74, 114, 154, 35, 75, 115, 155, 37, 77, 117, 157, 40, 80, 120, 160, 36, 76, 116, 156)
	L = (1, 42)(2, 48)(3, 47)(4, 50)(5, 41)(6, 57)(7, 46)(8, 60)(9, 62)(10, 49)(11, 45)(12, 59)(13, 43)(14, 64)(15, 44)(16, 55)(17, 61)(18, 73)(19, 58)(20, 74)(21, 76)(22, 75)(23, 78)(24, 63)(25, 53)(26, 51)(27, 54)(28, 52)(29, 68)(30, 67)(31, 56)(32, 80)(33, 72)(34, 66)(35, 71)(36, 65)(37, 79)(38, 77)(39, 70)(40, 69)(81, 123)(82, 124)(83, 131)(84, 125)(85, 136)(86, 121)(87, 132)(88, 126)(89, 122)(90, 134)(91, 145)(92, 133)(93, 149)(94, 135)(95, 150)(96, 146)(97, 138)(98, 127)(99, 147)(100, 129)(101, 128)(102, 143)(103, 130)(104, 139)(105, 154)(106, 155)(107, 148)(108, 159)(109, 156)(110, 151)(111, 157)(112, 137)(113, 144)(114, 141)(115, 140)(116, 152)(117, 142)(118, 153)(119, 160)(120, 158)
	local type(s) :: { ( 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10 ) }
Outer automorphisms :: reflexible
Dual of E28.559
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 80 f = 18
	degree seq :: [ 20^8 ]

E28.563 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 8, 8})
Quotient :: dipole
Aut^+ = C5 : C8 (small group id <40, 1>)
Aut   = (C5 x D8) : C2 (small group id <80, 15>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y1^5, (R * Y2 * Y3^-1)^2, Y2^8, (Y3^-1 * Y1^-1)^5, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 41, 2, 42, 6, 46, 11, 51, 4, 44)(3, 43, 9, 49, 18, 58, 14, 54, 7, 47)(5, 45, 12, 52, 21, 61, 15, 55, 8, 48)(10, 50, 16, 56, 24, 64, 28, 68, 19, 59)(13, 53, 17, 57, 25, 65, 31, 71, 22, 62)(20, 60, 29, 69, 36, 76, 33, 73, 26, 66)(23, 63, 32, 72, 38, 78, 34, 74, 27, 67)(30, 70, 35, 75, 39, 79, 40, 80, 37, 77)(81, 121, 83, 123, 90, 130, 100, 140, 110, 150, 103, 143, 93, 133, 85, 125)(82, 122, 87, 127, 96, 136, 106, 146, 115, 155, 107, 147, 97, 137, 88, 128)(84, 124, 89, 129, 99, 139, 109, 149, 117, 157, 112, 152, 102, 142, 92, 132)(86, 126, 94, 134, 104, 144, 113, 153, 119, 159, 114, 154, 105, 145, 95, 135)(91, 131, 98, 138, 108, 148, 116, 156, 120, 160, 118, 158, 111, 151, 101, 141)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 10, 16, 10, 16, 10, 16, 10, 16, 10, 16 ), ( 10, 16, 10, 16, 10, 16, 10, 16, 10, 16, 10, 16, 10, 16, 10, 16 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 13 e = 80 f = 13
	degree seq :: [ 10^8, 16^5 ]

E28.564 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 8, 8})
Quotient :: dipole
Aut^+ = C5 : C8 (small group id <40, 1>)
Aut   = (C5 x D8) : C2 (small group id <80, 15>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2 * Y1^-1 * Y2^-1, Y1^5, (R * Y2 * Y3^-1)^2, Y2^8, (Y3^-1 * Y1^-1)^5, (Y3 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 6, 46, 11, 51, 4, 44)(3, 43, 9, 49, 18, 58, 14, 54, 7, 47)(5, 45, 12, 52, 21, 61, 15, 55, 8, 48)(10, 50, 16, 56, 24, 64, 28, 68, 19, 59)(13, 53, 17, 57, 25, 65, 31, 71, 22, 62)(20, 60, 29, 69, 36, 76, 33, 73, 26, 66)(23, 63, 32, 72, 38, 78, 34, 74, 27, 67)(30, 70, 35, 75, 39, 79, 40, 80, 37, 77)(81, 121, 83, 123, 90, 130, 100, 140, 110, 150, 103, 143, 93, 133, 85, 125)(82, 122, 87, 127, 96, 136, 106, 146, 115, 155, 107, 147, 97, 137, 88, 128)(84, 124, 89, 129, 99, 139, 109, 149, 117, 157, 112, 152, 102, 142, 92, 132)(86, 126, 94, 134, 104, 144, 113, 153, 119, 159, 114, 154, 105, 145, 95, 135)(91, 131, 98, 138, 108, 148, 116, 156, 120, 160, 118, 158, 111, 151, 101, 141)
	L = (1, 82)(2, 86)(3, 89)(4, 81)(5, 92)(6, 91)(7, 83)(8, 85)(9, 98)(10, 96)(11, 84)(12, 101)(13, 97)(14, 87)(15, 88)(16, 104)(17, 105)(18, 94)(19, 90)(20, 109)(21, 95)(22, 93)(23, 112)(24, 108)(25, 111)(26, 100)(27, 103)(28, 99)(29, 116)(30, 115)(31, 102)(32, 118)(33, 106)(34, 107)(35, 119)(36, 113)(37, 110)(38, 114)(39, 120)(40, 117)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 10, 16, 10, 16, 10, 16, 10, 16, 10, 16 ), ( 10, 16, 10, 16, 10, 16, 10, 16, 10, 16, 10, 16, 10, 16, 10, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.566
Graph:: bipartite
	v = 13 e = 80 f = 13
	degree seq :: [ 10^8, 16^5 ]

E28.565 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 8, 8})
Quotient :: dipole
Aut^+ = C5 : C8 (small group id <40, 1>)
Aut   = (C5 x D8) : C2 (small group id <80, 15>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-2, Y1 * Y3^-2, (R * Y3)^2, Y1 * Y2 * Y1 * Y2^-1, (R * Y1)^2, Y2^-1 * Y3^-1 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y2^8 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 7, 47, 4, 44, 5, 45)(3, 43, 10, 50, 13, 53, 12, 52, 8, 48)(6, 46, 15, 55, 14, 54, 16, 56, 9, 49)(11, 51, 18, 58, 23, 63, 22, 62, 20, 60)(17, 57, 19, 59, 26, 66, 24, 64, 25, 65)(21, 61, 30, 70, 33, 73, 32, 72, 28, 68)(27, 67, 35, 75, 34, 74, 36, 76, 29, 69)(31, 71, 37, 77, 40, 80, 39, 79, 38, 78)(81, 121, 83, 123, 91, 131, 101, 141, 111, 151, 107, 147, 97, 137, 86, 126)(82, 122, 88, 128, 98, 138, 108, 148, 117, 157, 109, 149, 99, 139, 89, 129)(84, 124, 93, 133, 102, 142, 113, 153, 119, 159, 114, 154, 104, 144, 94, 134)(85, 125, 90, 130, 100, 140, 110, 150, 118, 158, 115, 155, 105, 145, 95, 135)(87, 127, 92, 132, 103, 143, 112, 152, 120, 160, 116, 156, 106, 146, 96, 136)
	L = (1, 84)(2, 85)(3, 92)(4, 82)(5, 87)(6, 96)(7, 81)(8, 93)(9, 94)(10, 88)(11, 102)(12, 90)(13, 83)(14, 86)(15, 89)(16, 95)(17, 104)(18, 100)(19, 105)(20, 103)(21, 112)(22, 98)(23, 91)(24, 99)(25, 106)(26, 97)(27, 116)(28, 113)(29, 114)(30, 108)(31, 119)(32, 110)(33, 101)(34, 107)(35, 109)(36, 115)(37, 118)(38, 120)(39, 117)(40, 111)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 10, 16, 10, 16, 10, 16, 10, 16, 10, 16 ), ( 10, 16, 10, 16, 10, 16, 10, 16, 10, 16, 10, 16, 10, 16, 10, 16 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 13 e = 80 f = 13
	degree seq :: [ 10^8, 16^5 ]

E28.566 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 8, 8})
Quotient :: dipole
Aut^+ = C5 : C8 (small group id <40, 1>)
Aut   = (C5 x D8) : C2 (small group id <80, 15>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y1^-1, Y3 * Y1^-2, Y1 * Y2^-1 * Y1 * Y2, (R * Y1)^2, (R * Y3)^2, Y3 * Y2^-1 * Y3 * Y2, (R * Y2 * Y3^-1)^2, Y2^8 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 4, 44, 7, 47, 5, 45)(3, 43, 10, 50, 12, 52, 13, 53, 8, 48)(6, 46, 15, 55, 16, 56, 14, 54, 9, 49)(11, 51, 18, 58, 22, 62, 23, 63, 20, 60)(17, 57, 19, 59, 24, 64, 26, 66, 25, 65)(21, 61, 30, 70, 32, 72, 33, 73, 28, 68)(27, 67, 35, 75, 36, 76, 34, 74, 29, 69)(31, 71, 37, 77, 39, 79, 40, 80, 38, 78)(81, 121, 83, 123, 91, 131, 101, 141, 111, 151, 107, 147, 97, 137, 86, 126)(82, 122, 88, 128, 98, 138, 108, 148, 117, 157, 109, 149, 99, 139, 89, 129)(84, 124, 93, 133, 102, 142, 113, 153, 119, 159, 114, 154, 104, 144, 94, 134)(85, 125, 90, 130, 100, 140, 110, 150, 118, 158, 115, 155, 105, 145, 95, 135)(87, 127, 92, 132, 103, 143, 112, 152, 120, 160, 116, 156, 106, 146, 96, 136)
	L = (1, 84)(2, 87)(3, 92)(4, 85)(5, 82)(6, 96)(7, 81)(8, 90)(9, 95)(10, 93)(11, 102)(12, 88)(13, 83)(14, 86)(15, 94)(16, 89)(17, 104)(18, 103)(19, 106)(20, 98)(21, 112)(22, 100)(23, 91)(24, 105)(25, 99)(26, 97)(27, 116)(28, 110)(29, 115)(30, 113)(31, 119)(32, 108)(33, 101)(34, 107)(35, 114)(36, 109)(37, 120)(38, 117)(39, 118)(40, 111)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 10, 16, 10, 16, 10, 16, 10, 16, 10, 16 ), ( 10, 16, 10, 16, 10, 16, 10, 16, 10, 16, 10, 16, 10, 16, 10, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.564
Graph:: bipartite
	v = 13 e = 80 f = 13
	degree seq :: [ 10^8, 16^5 ]

E28.567 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 8, 8})
Quotient :: dipole
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), Y1^5, (R * Y2 * Y3^-1)^2, Y2^8, (Y3^-1 * Y1^-1)^5, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 41, 2, 42, 6, 46, 11, 51, 4, 44)(3, 43, 7, 47, 14, 54, 20, 60, 10, 50)(5, 45, 8, 48, 15, 55, 21, 61, 12, 52)(9, 49, 16, 56, 24, 64, 30, 70, 19, 59)(13, 53, 17, 57, 25, 65, 31, 71, 22, 62)(18, 58, 26, 66, 33, 73, 37, 77, 29, 69)(23, 63, 27, 67, 34, 74, 38, 78, 32, 72)(28, 68, 35, 75, 39, 79, 40, 80, 36, 76)(81, 121, 83, 123, 89, 129, 98, 138, 108, 148, 103, 143, 93, 133, 85, 125)(82, 122, 87, 127, 96, 136, 106, 146, 115, 155, 107, 147, 97, 137, 88, 128)(84, 124, 90, 130, 99, 139, 109, 149, 116, 156, 112, 152, 102, 142, 92, 132)(86, 126, 94, 134, 104, 144, 113, 153, 119, 159, 114, 154, 105, 145, 95, 135)(91, 131, 100, 140, 110, 150, 117, 157, 120, 160, 118, 158, 111, 151, 101, 141)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 10, 16, 10, 16, 10, 16, 10, 16, 10, 16 ), ( 10, 16, 10, 16, 10, 16, 10, 16, 10, 16, 10, 16, 10, 16, 10, 16 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 13 e = 80 f = 13
	degree seq :: [ 10^8, 16^5 ]

E28.568 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {5, 5, 8, 8})
Quotient :: edge^2
Aut^+ = C5 : C8 (small group id <40, 3>)
Aut   = (C5 : C8) : C2 (small group id <80, 28>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y2^-1 * Y3^-2, Y3^5, Y1 * Y3^2 * Y1^-1 * Y3^-1, Y1 * Y3 * Y1^-1 * Y3^2, Y2 * Y3^2 * Y2^-1 * Y3, Y2^8, Y1^8 ]
Map:: non-degenerate
	R = (1, 41, 4, 44, 14, 54, 17, 57, 5, 45)(2, 42, 7, 47, 12, 52, 15, 55, 8, 48)(3, 43, 10, 50, 16, 56, 13, 53, 11, 51)(6, 46, 19, 59, 21, 61, 22, 62, 20, 60)(9, 49, 24, 64, 27, 67, 26, 66, 25, 65)(18, 58, 29, 69, 31, 71, 32, 72, 30, 70)(23, 63, 33, 73, 36, 76, 35, 75, 34, 74)(28, 68, 37, 77, 39, 79, 40, 80, 38, 78)(81, 82, 86, 98, 108, 103, 89, 83)(84, 92, 100, 112, 117, 116, 105, 93)(85, 95, 99, 111, 118, 115, 104, 96)(87, 101, 110, 120, 113, 107, 91, 97)(88, 102, 109, 119, 114, 106, 90, 94)(121, 123, 129, 143, 148, 138, 126, 122)(124, 133, 145, 156, 157, 152, 140, 132)(125, 136, 144, 155, 158, 151, 139, 135)(127, 137, 131, 147, 153, 160, 150, 141)(128, 134, 130, 146, 154, 159, 149, 142)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 20^8 ), ( 20^10 ) }
Outer automorphisms :: reflexible
Dual of E28.575
Graph:: simple bipartite
	v = 18 e = 80 f = 8
	degree seq :: [ 8^10, 10^8 ]

E28.569 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {5, 5, 8, 8})
Quotient :: edge^2
Aut^+ = C5 : C8 (small group id <40, 3>)
Aut   = (C5 : C8) : C2 (small group id <80, 28>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1 * Y3, Y2^-1 * Y3^-1 * Y1^-1 * Y3, Y3 * Y2^-1 * Y3^-1 * Y1^-1, (R * Y3)^2, R * Y2 * R * Y1, Y2 * Y3^2 * Y1, Y1^-1 * Y3^-1 * Y1 * Y2^-1 * Y1^-1, Y1^8, Y2^2 * Y1^-1 * Y2 * Y1^-2 * Y2 * Y1^-1, Y2^8 ]
Map:: non-degenerate
	R = (1, 41, 4, 44, 18, 58, 9, 49, 7, 47)(2, 42, 10, 50, 16, 56, 23, 63, 6, 46)(3, 43, 13, 53, 5, 45, 17, 57, 15, 55)(8, 48, 25, 65, 22, 62, 21, 61, 11, 51)(12, 52, 19, 59, 14, 54, 20, 60, 31, 71)(24, 64, 35, 75, 28, 68, 27, 67, 26, 66)(29, 69, 32, 72, 30, 70, 33, 73, 34, 74)(36, 76, 40, 80, 39, 79, 38, 78, 37, 77)(81, 82, 88, 104, 116, 112, 100, 85)(83, 84, 96, 91, 107, 120, 113, 94)(86, 101, 115, 119, 109, 99, 97, 98)(87, 103, 105, 108, 117, 114, 111, 95)(89, 90, 102, 106, 118, 110, 92, 93)(121, 123, 132, 149, 156, 147, 142, 126)(122, 129, 135, 134, 152, 158, 148, 131)(124, 137, 151, 150, 160, 155, 145, 130)(125, 139, 153, 157, 144, 141, 136, 127)(128, 143, 138, 133, 140, 154, 159, 146)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 20^8 ), ( 20^10 ) }
Outer automorphisms :: reflexible
Dual of E28.574
Graph:: simple bipartite
	v = 18 e = 80 f = 8
	degree seq :: [ 8^10, 10^8 ]

E28.570 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {5, 5, 8, 8})
Quotient :: edge^2
Aut^+ = C5 : C8 (small group id <40, 3>)
Aut   = (C5 : C8) : C2 (small group id <80, 28>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1 * Y1, Y2 * Y3 * Y1 * Y3, (R * Y3)^2, Y2 * Y3 * Y1 * Y3, R * Y2 * R * Y1, Y1 * Y3^-2 * Y2, Y2 * Y3^2 * Y1 * Y3^-1, Y1^8, Y2^2 * Y1^-1 * Y2 * Y1^-2 * Y2 * Y1^-1, Y2^8 ]
Map:: non-degenerate
	R = (1, 41, 4, 44, 12, 52, 21, 61, 7, 47)(2, 42, 9, 49, 16, 56, 6, 46, 11, 51)(3, 43, 14, 54, 18, 58, 17, 57, 5, 45)(8, 48, 22, 62, 26, 66, 10, 50, 23, 63)(13, 53, 20, 60, 19, 59, 31, 71, 15, 55)(24, 64, 27, 67, 35, 75, 25, 65, 28, 68)(29, 69, 33, 73, 32, 72, 34, 74, 30, 70)(36, 76, 38, 78, 40, 80, 37, 77, 39, 79)(81, 82, 88, 104, 116, 112, 100, 85)(83, 92, 91, 90, 107, 120, 113, 95)(84, 96, 103, 105, 118, 110, 93, 98)(86, 102, 115, 119, 109, 99, 94, 87)(89, 106, 108, 117, 114, 111, 97, 101)(121, 123, 133, 149, 156, 147, 143, 126)(122, 124, 137, 135, 152, 158, 148, 130)(125, 139, 153, 157, 144, 142, 131, 141)(127, 138, 140, 154, 159, 145, 128, 129)(132, 134, 151, 150, 160, 155, 146, 136)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 20^8 ), ( 20^10 ) }
Outer automorphisms :: reflexible
Dual of E28.573
Graph:: simple bipartite
	v = 18 e = 80 f = 8
	degree seq :: [ 8^10, 10^8 ]

E28.571 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {5, 5, 8, 8})
Quotient :: edge^2
Aut^+ = C5 : C8 (small group id <40, 3>)
Aut   = (C5 : C8) : C2 (small group id <80, 28>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1 * Y3, Y1^-1 * Y3^2 * Y2^-1, Y3 * Y2^-1 * Y1^-1 * Y3, Y3^-1 * Y2 * Y3 * Y1, Y3^-1 * Y1 * Y2 * Y3^-1, Y2^-1 * Y3 * Y1^-1 * Y3^-1, R * Y1 * R * Y2, (R * Y3)^2, Y1^8, Y2^8, Y2^3 * Y1^-1 * Y2^2 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 41, 4, 44, 9, 49, 22, 62, 7, 47)(2, 42, 6, 46, 16, 56, 17, 57, 11, 51)(3, 43, 13, 53, 20, 60, 5, 45, 15, 55)(8, 48, 10, 50, 21, 61, 23, 63, 26, 66)(12, 52, 30, 70, 19, 59, 14, 54, 18, 58)(24, 64, 25, 65, 27, 67, 28, 68, 35, 75)(29, 69, 34, 74, 33, 73, 31, 71, 32, 72)(36, 76, 37, 77, 38, 78, 39, 79, 40, 80)(81, 82, 88, 104, 116, 112, 99, 85)(83, 87, 97, 90, 107, 120, 113, 94)(84, 96, 106, 108, 117, 114, 110, 93)(86, 101, 115, 119, 109, 98, 100, 102)(89, 91, 103, 105, 118, 111, 92, 95)(121, 123, 132, 149, 156, 147, 143, 126)(122, 129, 133, 134, 152, 158, 148, 130)(124, 125, 138, 153, 157, 144, 141, 137)(127, 140, 150, 151, 160, 155, 146, 131)(128, 136, 142, 135, 139, 154, 159, 145)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 20^8 ), ( 20^10 ) }
Outer automorphisms :: reflexible
Dual of E28.572
Graph:: simple bipartite
	v = 18 e = 80 f = 8
	degree seq :: [ 8^10, 10^8 ]

E28.572 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {5, 5, 8, 8})
Quotient :: loop^2
Aut^+ = C5 : C8 (small group id <40, 3>)
Aut   = (C5 : C8) : C2 (small group id <80, 28>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y2^-1 * Y3^-2, Y3^5, Y1 * Y3^2 * Y1^-1 * Y3^-1, Y1 * Y3 * Y1^-1 * Y3^2, Y2 * Y3^2 * Y2^-1 * Y3, Y2^8, Y1^8 ]
Map:: non-degenerate
	R = (1, 41, 81, 121, 4, 44, 84, 124, 14, 54, 94, 134, 17, 57, 97, 137, 5, 45, 85, 125)(2, 42, 82, 122, 7, 47, 87, 127, 12, 52, 92, 132, 15, 55, 95, 135, 8, 48, 88, 128)(3, 43, 83, 123, 10, 50, 90, 130, 16, 56, 96, 136, 13, 53, 93, 133, 11, 51, 91, 131)(6, 46, 86, 126, 19, 59, 99, 139, 21, 61, 101, 141, 22, 62, 102, 142, 20, 60, 100, 140)(9, 49, 89, 129, 24, 64, 104, 144, 27, 67, 107, 147, 26, 66, 106, 146, 25, 65, 105, 145)(18, 58, 98, 138, 29, 69, 109, 149, 31, 71, 111, 151, 32, 72, 112, 152, 30, 70, 110, 150)(23, 63, 103, 143, 33, 73, 113, 153, 36, 76, 116, 156, 35, 75, 115, 155, 34, 74, 114, 154)(28, 68, 108, 148, 37, 77, 117, 157, 39, 79, 119, 159, 40, 80, 120, 160, 38, 78, 118, 158)
	L = (1, 42)(2, 46)(3, 41)(4, 52)(5, 55)(6, 58)(7, 61)(8, 62)(9, 43)(10, 54)(11, 57)(12, 60)(13, 44)(14, 48)(15, 59)(16, 45)(17, 47)(18, 68)(19, 71)(20, 72)(21, 70)(22, 69)(23, 49)(24, 56)(25, 53)(26, 50)(27, 51)(28, 63)(29, 79)(30, 80)(31, 78)(32, 77)(33, 67)(34, 66)(35, 64)(36, 65)(37, 76)(38, 75)(39, 74)(40, 73)(81, 123)(82, 121)(83, 129)(84, 133)(85, 136)(86, 122)(87, 137)(88, 134)(89, 143)(90, 146)(91, 147)(92, 124)(93, 145)(94, 130)(95, 125)(96, 144)(97, 131)(98, 126)(99, 135)(100, 132)(101, 127)(102, 128)(103, 148)(104, 155)(105, 156)(106, 154)(107, 153)(108, 138)(109, 142)(110, 141)(111, 139)(112, 140)(113, 160)(114, 159)(115, 158)(116, 157)(117, 152)(118, 151)(119, 149)(120, 150)
	local type(s) :: { ( 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10 ) }
Outer automorphisms :: reflexible
Dual of E28.571
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 80 f = 18
	degree seq :: [ 20^8 ]

E28.573 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {5, 5, 8, 8})
Quotient :: loop^2
Aut^+ = C5 : C8 (small group id <40, 3>)
Aut   = (C5 : C8) : C2 (small group id <80, 28>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1 * Y3, Y2^-1 * Y3^-1 * Y1^-1 * Y3, Y3 * Y2^-1 * Y3^-1 * Y1^-1, (R * Y3)^2, R * Y2 * R * Y1, Y2 * Y3^2 * Y1, Y1^-1 * Y3^-1 * Y1 * Y2^-1 * Y1^-1, Y1^8, Y2^2 * Y1^-1 * Y2 * Y1^-2 * Y2 * Y1^-1, Y2^8 ]
Map:: non-degenerate
	R = (1, 41, 81, 121, 4, 44, 84, 124, 18, 58, 98, 138, 9, 49, 89, 129, 7, 47, 87, 127)(2, 42, 82, 122, 10, 50, 90, 130, 16, 56, 96, 136, 23, 63, 103, 143, 6, 46, 86, 126)(3, 43, 83, 123, 13, 53, 93, 133, 5, 45, 85, 125, 17, 57, 97, 137, 15, 55, 95, 135)(8, 48, 88, 128, 25, 65, 105, 145, 22, 62, 102, 142, 21, 61, 101, 141, 11, 51, 91, 131)(12, 52, 92, 132, 19, 59, 99, 139, 14, 54, 94, 134, 20, 60, 100, 140, 31, 71, 111, 151)(24, 64, 104, 144, 35, 75, 115, 155, 28, 68, 108, 148, 27, 67, 107, 147, 26, 66, 106, 146)(29, 69, 109, 149, 32, 72, 112, 152, 30, 70, 110, 150, 33, 73, 113, 153, 34, 74, 114, 154)(36, 76, 116, 156, 40, 80, 120, 160, 39, 79, 119, 159, 38, 78, 118, 158, 37, 77, 117, 157)
	L = (1, 42)(2, 48)(3, 44)(4, 56)(5, 41)(6, 61)(7, 63)(8, 64)(9, 50)(10, 62)(11, 67)(12, 53)(13, 49)(14, 43)(15, 47)(16, 51)(17, 58)(18, 46)(19, 57)(20, 45)(21, 75)(22, 66)(23, 65)(24, 76)(25, 68)(26, 78)(27, 80)(28, 77)(29, 59)(30, 52)(31, 55)(32, 60)(33, 54)(34, 71)(35, 79)(36, 72)(37, 74)(38, 70)(39, 69)(40, 73)(81, 123)(82, 129)(83, 132)(84, 137)(85, 139)(86, 121)(87, 125)(88, 143)(89, 135)(90, 124)(91, 122)(92, 149)(93, 140)(94, 152)(95, 134)(96, 127)(97, 151)(98, 133)(99, 153)(100, 154)(101, 136)(102, 126)(103, 138)(104, 141)(105, 130)(106, 128)(107, 142)(108, 131)(109, 156)(110, 160)(111, 150)(112, 158)(113, 157)(114, 159)(115, 145)(116, 147)(117, 144)(118, 148)(119, 146)(120, 155)
	local type(s) :: { ( 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10 ) }
Outer automorphisms :: reflexible
Dual of E28.570
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 80 f = 18
	degree seq :: [ 20^8 ]

E28.574 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {5, 5, 8, 8})
Quotient :: loop^2
Aut^+ = C5 : C8 (small group id <40, 3>)
Aut   = (C5 : C8) : C2 (small group id <80, 28>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1 * Y1, Y2 * Y3 * Y1 * Y3, (R * Y3)^2, Y2 * Y3 * Y1 * Y3, R * Y2 * R * Y1, Y1 * Y3^-2 * Y2, Y2 * Y3^2 * Y1 * Y3^-1, Y1^8, Y2^2 * Y1^-1 * Y2 * Y1^-2 * Y2 * Y1^-1, Y2^8 ]
Map:: non-degenerate
	R = (1, 41, 81, 121, 4, 44, 84, 124, 12, 52, 92, 132, 21, 61, 101, 141, 7, 47, 87, 127)(2, 42, 82, 122, 9, 49, 89, 129, 16, 56, 96, 136, 6, 46, 86, 126, 11, 51, 91, 131)(3, 43, 83, 123, 14, 54, 94, 134, 18, 58, 98, 138, 17, 57, 97, 137, 5, 45, 85, 125)(8, 48, 88, 128, 22, 62, 102, 142, 26, 66, 106, 146, 10, 50, 90, 130, 23, 63, 103, 143)(13, 53, 93, 133, 20, 60, 100, 140, 19, 59, 99, 139, 31, 71, 111, 151, 15, 55, 95, 135)(24, 64, 104, 144, 27, 67, 107, 147, 35, 75, 115, 155, 25, 65, 105, 145, 28, 68, 108, 148)(29, 69, 109, 149, 33, 73, 113, 153, 32, 72, 112, 152, 34, 74, 114, 154, 30, 70, 110, 150)(36, 76, 116, 156, 38, 78, 118, 158, 40, 80, 120, 160, 37, 77, 117, 157, 39, 79, 119, 159)
	L = (1, 42)(2, 48)(3, 52)(4, 56)(5, 41)(6, 62)(7, 46)(8, 64)(9, 66)(10, 67)(11, 50)(12, 51)(13, 58)(14, 47)(15, 43)(16, 63)(17, 61)(18, 44)(19, 54)(20, 45)(21, 49)(22, 75)(23, 65)(24, 76)(25, 78)(26, 68)(27, 80)(28, 77)(29, 59)(30, 53)(31, 57)(32, 60)(33, 55)(34, 71)(35, 79)(36, 72)(37, 74)(38, 70)(39, 69)(40, 73)(81, 123)(82, 124)(83, 133)(84, 137)(85, 139)(86, 121)(87, 138)(88, 129)(89, 127)(90, 122)(91, 141)(92, 134)(93, 149)(94, 151)(95, 152)(96, 132)(97, 135)(98, 140)(99, 153)(100, 154)(101, 125)(102, 131)(103, 126)(104, 142)(105, 128)(106, 136)(107, 143)(108, 130)(109, 156)(110, 160)(111, 150)(112, 158)(113, 157)(114, 159)(115, 146)(116, 147)(117, 144)(118, 148)(119, 145)(120, 155)
	local type(s) :: { ( 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10 ) }
Outer automorphisms :: reflexible
Dual of E28.569
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 80 f = 18
	degree seq :: [ 20^8 ]

E28.575 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {5, 5, 8, 8})
Quotient :: loop^2
Aut^+ = C5 : C8 (small group id <40, 3>)
Aut   = (C5 : C8) : C2 (small group id <80, 28>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1 * Y3, Y1^-1 * Y3^2 * Y2^-1, Y3 * Y2^-1 * Y1^-1 * Y3, Y3^-1 * Y2 * Y3 * Y1, Y3^-1 * Y1 * Y2 * Y3^-1, Y2^-1 * Y3 * Y1^-1 * Y3^-1, R * Y1 * R * Y2, (R * Y3)^2, Y1^8, Y2^8, Y2^3 * Y1^-1 * Y2^2 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 41, 81, 121, 4, 44, 84, 124, 9, 49, 89, 129, 22, 62, 102, 142, 7, 47, 87, 127)(2, 42, 82, 122, 6, 46, 86, 126, 16, 56, 96, 136, 17, 57, 97, 137, 11, 51, 91, 131)(3, 43, 83, 123, 13, 53, 93, 133, 20, 60, 100, 140, 5, 45, 85, 125, 15, 55, 95, 135)(8, 48, 88, 128, 10, 50, 90, 130, 21, 61, 101, 141, 23, 63, 103, 143, 26, 66, 106, 146)(12, 52, 92, 132, 30, 70, 110, 150, 19, 59, 99, 139, 14, 54, 94, 134, 18, 58, 98, 138)(24, 64, 104, 144, 25, 65, 105, 145, 27, 67, 107, 147, 28, 68, 108, 148, 35, 75, 115, 155)(29, 69, 109, 149, 34, 74, 114, 154, 33, 73, 113, 153, 31, 71, 111, 151, 32, 72, 112, 152)(36, 76, 116, 156, 37, 77, 117, 157, 38, 78, 118, 158, 39, 79, 119, 159, 40, 80, 120, 160)
	L = (1, 42)(2, 48)(3, 47)(4, 56)(5, 41)(6, 61)(7, 57)(8, 64)(9, 51)(10, 67)(11, 63)(12, 55)(13, 44)(14, 43)(15, 49)(16, 66)(17, 50)(18, 60)(19, 45)(20, 62)(21, 75)(22, 46)(23, 65)(24, 76)(25, 78)(26, 68)(27, 80)(28, 77)(29, 58)(30, 53)(31, 52)(32, 59)(33, 54)(34, 70)(35, 79)(36, 72)(37, 74)(38, 71)(39, 69)(40, 73)(81, 123)(82, 129)(83, 132)(84, 125)(85, 138)(86, 121)(87, 140)(88, 136)(89, 133)(90, 122)(91, 127)(92, 149)(93, 134)(94, 152)(95, 139)(96, 142)(97, 124)(98, 153)(99, 154)(100, 150)(101, 137)(102, 135)(103, 126)(104, 141)(105, 128)(106, 131)(107, 143)(108, 130)(109, 156)(110, 151)(111, 160)(112, 158)(113, 157)(114, 159)(115, 146)(116, 147)(117, 144)(118, 148)(119, 145)(120, 155)
	local type(s) :: { ( 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10 ) }
Outer automorphisms :: reflexible
Dual of E28.568
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 80 f = 18
	degree seq :: [ 20^8 ]

E28.576 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 5, 10, 10})
Quotient :: dipole
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3^-2, (R * Y1)^2, (R * Y3)^2, (Y2, Y3), (Y2^-1, Y1^-1), (R * Y2)^2, Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y1^4, Y2 * Y3^-4, (Y3^-1 * Y1 * Y2^-1)^2, Y2^10 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 5, 45)(3, 43, 9, 49, 22, 62, 15, 55)(4, 44, 17, 57, 23, 63, 10, 50)(6, 46, 11, 51, 24, 64, 20, 60)(7, 47, 21, 61, 25, 65, 12, 52)(13, 53, 26, 66, 36, 76, 31, 71)(14, 54, 32, 72, 37, 77, 27, 67)(16, 56, 33, 73, 38, 78, 28, 68)(18, 58, 29, 69, 39, 79, 34, 74)(19, 59, 35, 75, 40, 80, 30, 70)(81, 121, 83, 123, 93, 133, 98, 138, 86, 126)(82, 122, 89, 129, 106, 146, 109, 149, 91, 131)(84, 124, 94, 134, 87, 127, 96, 136, 99, 139)(85, 125, 95, 135, 111, 151, 114, 154, 100, 140)(88, 128, 102, 142, 116, 156, 119, 159, 104, 144)(90, 130, 107, 147, 92, 132, 108, 148, 110, 150)(97, 137, 112, 152, 101, 141, 113, 153, 115, 155)(103, 143, 117, 157, 105, 145, 118, 158, 120, 160)
	L = (1, 84)(2, 90)(3, 94)(4, 98)(5, 97)(6, 99)(7, 81)(8, 103)(9, 107)(10, 109)(11, 110)(12, 82)(13, 87)(14, 86)(15, 112)(16, 83)(17, 114)(18, 96)(19, 93)(20, 115)(21, 85)(22, 117)(23, 119)(24, 120)(25, 88)(26, 92)(27, 91)(28, 89)(29, 108)(30, 106)(31, 101)(32, 100)(33, 95)(34, 113)(35, 111)(36, 105)(37, 104)(38, 102)(39, 118)(40, 116)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 20^8 ), ( 20^10 ) }
Outer automorphisms :: reflexible
Dual of E28.583
Graph:: simple bipartite
	v = 18 e = 80 f = 8
	degree seq :: [ 8^10, 10^8 ]

E28.577 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 5, 10, 10})
Quotient :: dipole
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, (Y1 * Y2^-1)^2, Y1^-1 * Y2^2 * Y1^-1, (Y2, Y1), (Y1^-1, Y3^-1), (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y3^-1)^2, Y2^2 * Y1^3, Y3^-1 * Y1 * Y3^-3, Y2 * Y3^-1 * Y1 * Y2 * Y3^-1, Y3 * Y1 * Y2 * Y3 * Y1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 19, 59, 5, 45)(3, 43, 9, 49, 20, 60, 6, 46, 11, 51)(4, 44, 10, 50, 25, 65, 37, 77, 17, 57)(7, 47, 12, 52, 26, 66, 33, 73, 21, 61)(13, 53, 27, 67, 23, 63, 22, 62, 31, 71)(14, 54, 18, 58, 30, 70, 15, 55, 28, 68)(16, 56, 29, 69, 39, 79, 38, 78, 24, 64)(32, 72, 40, 80, 35, 75, 36, 76, 34, 74)(81, 121, 83, 123, 88, 128, 100, 140, 85, 125, 91, 131, 82, 122, 89, 129, 99, 139, 86, 126)(84, 124, 95, 135, 105, 145, 94, 134, 97, 137, 110, 150, 90, 130, 108, 148, 117, 157, 98, 138)(87, 127, 103, 143, 106, 146, 111, 151, 101, 141, 107, 147, 92, 132, 102, 142, 113, 153, 93, 133)(96, 136, 112, 152, 119, 159, 115, 155, 104, 144, 114, 154, 109, 149, 120, 160, 118, 158, 116, 156)
	L = (1, 84)(2, 90)(3, 93)(4, 96)(5, 97)(6, 102)(7, 81)(8, 105)(9, 107)(10, 109)(11, 111)(12, 82)(13, 112)(14, 83)(15, 86)(16, 92)(17, 104)(18, 89)(19, 117)(20, 103)(21, 85)(22, 116)(23, 115)(24, 87)(25, 119)(26, 88)(27, 120)(28, 91)(29, 106)(30, 100)(31, 114)(32, 98)(33, 99)(34, 94)(35, 95)(36, 108)(37, 118)(38, 101)(39, 113)(40, 110)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8, 20, 8, 20, 8, 20, 8, 20, 8, 20 ), ( 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20 ) }
Outer automorphisms :: reflexible
Dual of E28.581
Graph:: bipartite
	v = 12 e = 80 f = 14
	degree seq :: [ 10^8, 20^4 ]

E28.578 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 5, 10, 10})
Quotient :: dipole
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1^-1, (Y3^-1, Y1), (R * Y1^-1)^2, (R * Y3)^2, Y3^4 * Y1^-1, Y1 * Y2 * Y3 * Y2 * Y3, Y1^5, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y3, (Y2^-1 * Y3^2)^2, Y3^2 * Y2^-1 * Y3^-2 * Y2, Y3 * Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 18, 58, 5, 45)(3, 43, 9, 49, 26, 66, 19, 59, 6, 46)(4, 44, 10, 50, 27, 67, 34, 74, 16, 56)(7, 47, 11, 51, 28, 68, 33, 73, 20, 60)(12, 52, 24, 64, 23, 63, 31, 71, 21, 61)(13, 53, 29, 69, 17, 57, 14, 54, 22, 62)(15, 55, 30, 70, 40, 80, 38, 78, 25, 65)(32, 72, 37, 77, 36, 76, 39, 79, 35, 75)(81, 121, 83, 123, 82, 122, 89, 129, 88, 128, 106, 146, 98, 138, 99, 139, 85, 125, 86, 126)(84, 124, 94, 134, 90, 130, 102, 142, 107, 147, 93, 133, 114, 154, 109, 149, 96, 136, 97, 137)(87, 127, 103, 143, 91, 131, 111, 151, 108, 148, 101, 141, 113, 153, 92, 132, 100, 140, 104, 144)(95, 135, 112, 152, 110, 150, 117, 157, 120, 160, 116, 156, 118, 158, 119, 159, 105, 145, 115, 155)
	L = (1, 84)(2, 90)(3, 92)(4, 95)(5, 96)(6, 101)(7, 81)(8, 107)(9, 104)(10, 110)(11, 82)(12, 112)(13, 83)(14, 99)(15, 91)(16, 105)(17, 106)(18, 114)(19, 111)(20, 85)(21, 115)(22, 86)(23, 116)(24, 117)(25, 87)(26, 103)(27, 120)(28, 88)(29, 89)(30, 108)(31, 119)(32, 109)(33, 98)(34, 118)(35, 93)(36, 94)(37, 97)(38, 100)(39, 102)(40, 113)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8, 20, 8, 20, 8, 20, 8, 20, 8, 20 ), ( 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20 ) }
Outer automorphisms :: reflexible
Dual of E28.580
Graph:: bipartite
	v = 12 e = 80 f = 14
	degree seq :: [ 10^8, 20^4 ]

E28.579 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 5, 10, 10})
Quotient :: dipole
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1 * Y2^-1, (Y3^-1, Y1^-1), (R * Y1^-1)^2, (R * Y3)^2, Y3^-4 * Y1, Y1^5, Y3^-1 * Y1^-1 * Y2 * Y3^-1 * Y2, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y3 * Y1^-1 * Y2 * Y1^-1, Y3^-2 * Y2 * Y3^2 * Y2^-1, (Y1^-1 * Y3^-1)^4 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 19, 59, 5, 45)(3, 43, 6, 46, 10, 50, 27, 67, 13, 53)(4, 44, 9, 49, 26, 66, 37, 77, 17, 57)(7, 47, 11, 51, 28, 68, 33, 73, 20, 60)(12, 52, 21, 61, 23, 63, 24, 64, 31, 71)(14, 54, 22, 62, 30, 70, 15, 55, 18, 58)(16, 56, 29, 69, 40, 80, 39, 79, 25, 65)(32, 72, 36, 76, 35, 75, 38, 78, 34, 74)(81, 121, 83, 123, 85, 125, 93, 133, 99, 139, 107, 147, 88, 128, 90, 130, 82, 122, 86, 126)(84, 124, 95, 135, 97, 137, 110, 150, 117, 157, 102, 142, 106, 146, 94, 134, 89, 129, 98, 138)(87, 127, 103, 143, 100, 140, 101, 141, 113, 153, 92, 132, 108, 148, 111, 151, 91, 131, 104, 144)(96, 136, 112, 152, 105, 145, 114, 154, 119, 159, 118, 158, 120, 160, 115, 155, 109, 149, 116, 156)
	L = (1, 84)(2, 89)(3, 92)(4, 96)(5, 97)(6, 101)(7, 81)(8, 106)(9, 109)(10, 103)(11, 82)(12, 112)(13, 111)(14, 83)(15, 107)(16, 91)(17, 105)(18, 93)(19, 117)(20, 85)(21, 116)(22, 86)(23, 115)(24, 118)(25, 87)(26, 120)(27, 104)(28, 88)(29, 108)(30, 90)(31, 114)(32, 102)(33, 99)(34, 94)(35, 95)(36, 110)(37, 119)(38, 98)(39, 100)(40, 113)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8, 20, 8, 20, 8, 20, 8, 20, 8, 20 ), ( 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20 ) }
Outer automorphisms :: reflexible
Dual of E28.582
Graph:: bipartite
	v = 12 e = 80 f = 14
	degree seq :: [ 10^8, 20^4 ]

E28.580 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 5, 10, 10})
Quotient :: dipole
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1 * Y2 * Y1, (R * Y3)^2, (Y1^-1 * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y3^-1, Y2^-1), Y2^4, Y3^5 * Y2^-1, Y1 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y3^-1, Y1^-1 * Y3^-1 * Y1^3 * Y3^-1, Y3^-1 * Y2 * Y1^-4, Y3^-2 * Y2 * Y1^-1 * Y3^-1 * Y1^-1, Y2^-1 * Y1^-1 * Y3^-1 * Y1^-3, Y3 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y3^-1 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1, Y3^-1 * Y2^-1 * Y1^-1 * Y3^-2 * Y1^-1, Y1^-1 * Y2^-1 * Y3^-3 * Y1^-1, Y2^-1 * Y1^-1 * Y3^2 * Y2 * Y1^-1, Y2^2 * Y1^-1 * Y3^2 * Y1^-1, Y3 * Y2 * Y3^2 * Y1^2 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 27, 67, 16, 56, 34, 74, 19, 59, 37, 77, 22, 62, 5, 45)(3, 43, 11, 51, 28, 68, 23, 63, 39, 79, 12, 52, 4, 44, 17, 57, 29, 69, 15, 55)(6, 46, 9, 49, 30, 70, 25, 65, 7, 47, 21, 61, 31, 71, 10, 50, 35, 75, 20, 60)(13, 53, 32, 72, 18, 58, 36, 76, 24, 64, 38, 78, 14, 54, 33, 73, 26, 66, 40, 80)(81, 121, 83, 123, 93, 133, 86, 126)(82, 122, 89, 129, 112, 152, 91, 131)(84, 124, 94, 134, 111, 151, 99, 139)(85, 125, 100, 140, 120, 160, 95, 135)(87, 127, 96, 136, 119, 159, 104, 144)(88, 128, 108, 148, 98, 138, 110, 150)(90, 130, 113, 153, 97, 137, 117, 157)(92, 132, 114, 154, 101, 141, 118, 158)(102, 142, 109, 149, 106, 146, 115, 155)(103, 143, 107, 147, 105, 145, 116, 156)
	L = (1, 84)(2, 90)(3, 94)(4, 98)(5, 101)(6, 99)(7, 81)(8, 109)(9, 113)(10, 116)(11, 117)(12, 82)(13, 111)(14, 110)(15, 114)(16, 83)(17, 107)(18, 115)(19, 108)(20, 118)(21, 112)(22, 119)(23, 85)(24, 86)(25, 120)(26, 87)(27, 100)(28, 106)(29, 104)(30, 102)(31, 88)(32, 97)(33, 103)(34, 89)(35, 96)(36, 95)(37, 105)(38, 91)(39, 93)(40, 92)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 10, 20, 10, 20, 10, 20, 10, 20 ), ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E28.578
Graph:: bipartite
	v = 14 e = 80 f = 12
	degree seq :: [ 8^10, 20^4 ]

E28.581 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 5, 10, 10})
Quotient :: dipole
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1, Y3), Y1^-1 * Y2 * Y1^-1 * Y3, Y1 * Y2^-1 * Y1^-1 * Y2^-1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2^4, Y2^-1 * Y3^5, Y3^2 * Y2 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, (Y3^-1 * Y1^-1 * Y3^-1)^2, Y2^-2 * Y3^-1 * Y1 * Y3 * Y1^-1, Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1, Y1^10 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 23, 63, 37, 77, 35, 75, 40, 80, 33, 73, 15, 55, 5, 45)(3, 43, 11, 51, 4, 44, 16, 56, 24, 64, 39, 79, 36, 76, 19, 59, 31, 71, 12, 52)(6, 46, 9, 49, 25, 65, 10, 50, 28, 68, 38, 78, 34, 74, 21, 61, 7, 47, 18, 58)(13, 53, 26, 66, 14, 54, 27, 67, 17, 57, 29, 69, 22, 62, 32, 72, 20, 60, 30, 70)(81, 121, 83, 123, 93, 133, 86, 126)(82, 122, 89, 129, 106, 146, 91, 131)(84, 124, 94, 134, 105, 145, 88, 128)(85, 125, 98, 138, 110, 150, 92, 132)(87, 127, 95, 135, 111, 151, 100, 140)(90, 130, 107, 147, 96, 136, 103, 143)(97, 137, 108, 148, 117, 157, 104, 144)(99, 139, 113, 153, 101, 141, 112, 152)(102, 142, 114, 154, 120, 160, 116, 156)(109, 149, 119, 159, 115, 155, 118, 158)
	L = (1, 84)(2, 90)(3, 94)(4, 97)(5, 89)(6, 88)(7, 81)(8, 104)(9, 107)(10, 109)(11, 103)(12, 82)(13, 105)(14, 108)(15, 83)(16, 115)(17, 114)(18, 106)(19, 85)(20, 86)(21, 110)(22, 87)(23, 118)(24, 102)(25, 117)(26, 96)(27, 119)(28, 120)(29, 99)(30, 91)(31, 93)(32, 92)(33, 98)(34, 95)(35, 101)(36, 100)(37, 116)(38, 112)(39, 113)(40, 111)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 10, 20, 10, 20, 10, 20, 10, 20 ), ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E28.577
Graph:: bipartite
	v = 14 e = 80 f = 12
	degree seq :: [ 8^10, 20^4 ]

E28.582 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 5, 10, 10})
Quotient :: dipole
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3 * Y1^2, Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y3^-1 * Y1^-2 * Y2, (Y2^-1, Y3), (R * Y3)^2, (R * Y1)^2, Y2 * Y1^-1 * Y2 * Y1, Y2^4, (R * Y2^-1)^2, Y2 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y2, (Y3^2 * Y1^-1)^2, Y3^4 * Y1^-2, Y3^-1 * Y2^-1 * Y1 * Y3 * Y2 * Y1^-1, Y3 * Y2 * Y1^4 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 23, 63, 37, 77, 36, 76, 40, 80, 34, 74, 18, 58, 5, 45)(3, 43, 11, 51, 24, 64, 12, 52, 31, 71, 38, 78, 35, 75, 17, 57, 4, 44, 15, 55)(6, 46, 9, 49, 7, 47, 21, 61, 25, 65, 39, 79, 33, 73, 19, 59, 29, 69, 10, 50)(13, 53, 26, 66, 20, 60, 30, 70, 22, 62, 32, 72, 16, 56, 28, 68, 14, 54, 27, 67)(81, 121, 83, 123, 93, 133, 86, 126)(82, 122, 89, 129, 106, 146, 91, 131)(84, 124, 94, 134, 109, 149, 98, 138)(85, 125, 90, 130, 107, 147, 95, 135)(87, 127, 88, 128, 104, 144, 100, 140)(92, 132, 103, 143, 101, 141, 110, 150)(96, 136, 113, 153, 120, 160, 115, 155)(97, 137, 114, 154, 99, 139, 108, 148)(102, 142, 105, 145, 117, 157, 111, 151)(112, 152, 118, 158, 116, 156, 119, 159)
	L = (1, 84)(2, 90)(3, 94)(4, 96)(5, 99)(6, 98)(7, 81)(8, 83)(9, 107)(10, 108)(11, 85)(12, 82)(13, 109)(14, 113)(15, 114)(16, 105)(17, 116)(18, 115)(19, 112)(20, 86)(21, 106)(22, 87)(23, 89)(24, 93)(25, 88)(26, 95)(27, 97)(28, 118)(29, 120)(30, 91)(31, 100)(32, 92)(33, 117)(34, 119)(35, 102)(36, 101)(37, 104)(38, 103)(39, 110)(40, 111)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 10, 20, 10, 20, 10, 20, 10, 20 ), ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E28.579
Graph:: bipartite
	v = 14 e = 80 f = 12
	degree seq :: [ 8^10, 20^4 ]

E28.583 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 5, 10, 10})
Quotient :: dipole
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3 * Y1^-1, Y3^2 * Y2^-2, Y3 * Y1^3, Y3 * Y2^2 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y2^-1 * Y1^2 * Y2^-1 * Y1^-1, Y2^-1 * Y1 * Y2^2 * Y1^-1 * Y2^-1, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y3^-1 * Y1^-1)^2, Y2^-4 * Y1^-2, Y3^-1 * Y2 * Y1^-2 * Y2^-1 * Y1^-1, (Y3^-1 * Y2)^4, Y2 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, (Y3^-1 * Y1)^5 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 7, 47, 12, 52, 24, 64, 17, 57, 4, 44, 10, 50, 5, 45)(3, 43, 13, 53, 22, 62, 16, 56, 29, 69, 21, 61, 6, 46, 14, 54, 23, 63, 15, 55)(9, 49, 25, 65, 18, 58, 28, 68, 20, 60, 30, 70, 11, 51, 26, 66, 19, 59, 27, 67)(31, 71, 36, 76, 33, 73, 38, 78, 35, 75, 40, 80, 32, 72, 37, 77, 34, 74, 39, 79)(81, 121, 83, 123, 92, 132, 109, 149, 90, 130, 103, 143, 88, 128, 102, 142, 97, 137, 86, 126)(82, 122, 89, 129, 104, 144, 100, 140, 85, 125, 99, 139, 87, 127, 98, 138, 84, 124, 91, 131)(93, 133, 111, 151, 101, 141, 115, 155, 95, 135, 114, 154, 96, 136, 113, 153, 94, 134, 112, 152)(105, 145, 116, 156, 110, 150, 120, 160, 107, 147, 119, 159, 108, 148, 118, 158, 106, 146, 117, 157)
	L = (1, 84)(2, 90)(3, 94)(4, 92)(5, 97)(6, 96)(7, 81)(8, 85)(9, 106)(10, 104)(11, 108)(12, 82)(13, 103)(14, 109)(15, 86)(16, 83)(17, 87)(18, 107)(19, 110)(20, 105)(21, 102)(22, 95)(23, 101)(24, 88)(25, 99)(26, 100)(27, 91)(28, 89)(29, 93)(30, 98)(31, 117)(32, 118)(33, 119)(34, 120)(35, 116)(36, 114)(37, 115)(38, 111)(39, 112)(40, 113)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10 ) }
Outer automorphisms :: reflexible
Dual of E28.576
Graph:: bipartite
	v = 8 e = 80 f = 18
	degree seq :: [ 20^8 ]

E28.584 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 10, 20})
Quotient :: edge^2
Aut^+ = C5 : Q8 (small group id <40, 4>)
Aut   = C40 : C2 (small group id <80, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y1^4, Y2 * Y1^2 * Y2, Y2^-1 * Y1^-1 * Y2^-1 * Y1, R * Y1 * R * Y2, Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y2^2 * Y1^-2, Y2 * Y3^-1 * Y2^-1 * Y3^-1, (R * Y3)^2, Y2^-1 * Y3 * Y1 * Y2 * Y3^-1 * Y1, Y3^-1 * Y1^-1 * Y3^4 * Y1^-1, Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 41, 4, 44, 15, 55, 31, 71, 22, 62, 8, 48, 21, 61, 36, 76, 20, 60, 7, 47)(2, 42, 10, 50, 25, 65, 32, 72, 16, 56, 5, 45, 18, 58, 34, 74, 28, 68, 12, 52)(3, 43, 13, 53, 29, 69, 33, 73, 17, 57, 6, 46, 19, 59, 35, 75, 30, 70, 14, 54)(9, 49, 23, 63, 37, 77, 39, 79, 26, 66, 11, 51, 27, 67, 40, 80, 38, 78, 24, 64)(81, 82, 88, 85)(83, 91, 86, 89)(84, 92, 101, 96)(87, 90, 102, 98)(93, 106, 99, 104)(94, 107, 97, 103)(95, 108, 116, 112)(100, 105, 111, 114)(109, 119, 115, 118)(110, 120, 113, 117)(121, 123, 128, 126)(122, 129, 125, 131)(124, 134, 141, 137)(127, 133, 142, 139)(130, 144, 138, 146)(132, 143, 136, 147)(135, 150, 156, 153)(140, 149, 151, 155)(145, 158, 154, 159)(148, 157, 152, 160)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 80^4 ), ( 80^20 ) }
Outer automorphisms :: reflexible
Dual of E28.590
Graph:: bipartite
	v = 24 e = 80 f = 2
	degree seq :: [ 4^20, 20^4 ]

E28.585 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 10, 20})
Quotient :: edge^2
Aut^+ = C5 : Q8 (small group id <40, 4>)
Aut   = C40 : C2 (small group id <80, 6>)
|r| :: 2
Presentation :: [ R^2, Y1^4, Y1^-2 * Y2^2, R * Y2 * R * Y1, Y2 * Y3^-1 * Y2^-1 * Y3^-1, Y1^-1 * Y2^-2 * Y1^-1, Y3 * Y1 * Y3 * Y1^-1, (R * Y3)^2, Y3 * Y2^2 * Y3^-1 * Y2^2, Y3 * Y2 * Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y3^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1, Y3^-1 * Y1^-1 * Y2 * Y3^-1 * Y1 * Y2, Y1 * Y3^-1 * Y2 * Y1^-1 * Y2^-1 * Y3^2, Y3 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 41, 4, 44, 17, 57, 37, 77, 24, 64, 8, 48, 23, 63, 40, 80, 22, 62, 7, 47)(2, 42, 10, 50, 29, 69, 38, 78, 18, 58, 5, 45, 20, 60, 33, 73, 32, 72, 12, 52)(3, 43, 14, 54, 35, 75, 27, 67, 19, 59, 6, 46, 21, 61, 39, 79, 25, 65, 16, 56)(9, 49, 26, 66, 34, 74, 13, 53, 30, 70, 11, 51, 31, 71, 36, 76, 15, 55, 28, 68)(81, 82, 88, 85)(83, 93, 86, 95)(84, 92, 103, 98)(87, 90, 104, 100)(89, 105, 91, 107)(94, 114, 101, 116)(96, 110, 99, 108)(97, 112, 120, 118)(102, 109, 117, 113)(106, 119, 111, 115)(121, 123, 128, 126)(122, 129, 125, 131)(124, 136, 143, 139)(127, 134, 144, 141)(130, 148, 140, 150)(132, 146, 138, 151)(133, 149, 135, 153)(137, 145, 160, 147)(142, 155, 157, 159)(152, 154, 158, 156)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 80^4 ), ( 80^20 ) }
Outer automorphisms :: reflexible
Dual of E28.591
Graph:: bipartite
	v = 24 e = 80 f = 2
	degree seq :: [ 4^20, 20^4 ]

E28.586 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 10, 20})
Quotient :: edge^2
Aut^+ = C5 : Q8 (small group id <40, 4>)
Aut   = C40 : C2 (small group id <80, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-1 * Y2 * Y3^-1, Y2 * Y1^-2 * Y2, Y2^-1 * Y1^-1 * Y2^-1 * Y1, Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y1 * Y3^-1 * Y1^-1 * Y3^-1, Y2^4, Y2^2 * Y1^2, R * Y1 * R * Y2, (R * Y3)^2, Y2^-1 * Y3 * Y1 * Y2 * Y3^-1 * Y1, Y3^2 * Y2 * Y1 * Y3^3, (Y3^2 * Y1^-2)^5 ]
Map:: non-degenerate
	R = (1, 41, 4, 44, 15, 55, 31, 71, 24, 64, 9, 49, 23, 63, 39, 79, 38, 78, 22, 62, 8, 48, 21, 61, 37, 77, 40, 80, 26, 66, 11, 51, 27, 67, 36, 76, 20, 60, 7, 47)(2, 42, 10, 50, 25, 65, 33, 73, 17, 57, 6, 46, 19, 59, 35, 75, 32, 72, 16, 56, 5, 45, 18, 58, 34, 74, 30, 70, 14, 54, 3, 43, 13, 53, 29, 69, 28, 68, 12, 52)(81, 82, 88, 85)(83, 91, 86, 89)(84, 92, 101, 96)(87, 90, 102, 98)(93, 106, 99, 104)(94, 107, 97, 103)(95, 108, 117, 112)(100, 105, 118, 114)(109, 120, 115, 111)(110, 116, 113, 119)(121, 123, 128, 126)(122, 129, 125, 131)(124, 134, 141, 137)(127, 133, 142, 139)(130, 144, 138, 146)(132, 143, 136, 147)(135, 150, 157, 153)(140, 149, 158, 155)(145, 151, 154, 160)(148, 159, 152, 156)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 40^4 ), ( 40^40 ) }
Outer automorphisms :: reflexible
Dual of E28.588
Graph:: bipartite
	v = 22 e = 80 f = 4
	degree seq :: [ 4^20, 40^2 ]

E28.587 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 10, 20})
Quotient :: edge^2
Aut^+ = C5 : Q8 (small group id <40, 4>)
Aut   = C40 : C2 (small group id <80, 6>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2 * Y1, Y1 * Y2 * Y3^-1, Y2^-2 * Y1^2, R * Y2 * R * Y1, (R * Y3)^2, Y1^-1 * Y2 * Y3^9 ]
Map:: non-degenerate
	R = (1, 41, 4, 44, 13, 53, 21, 61, 29, 69, 37, 77, 36, 76, 28, 68, 20, 60, 12, 52, 8, 48, 9, 49, 17, 57, 25, 65, 33, 73, 40, 80, 32, 72, 24, 64, 16, 56, 7, 47)(2, 42, 6, 46, 15, 55, 23, 63, 31, 71, 39, 79, 38, 78, 30, 70, 22, 62, 14, 54, 5, 45, 3, 43, 11, 51, 19, 59, 27, 67, 35, 75, 34, 74, 26, 66, 18, 58, 10, 50)(81, 82, 88, 85)(83, 87, 86, 92)(84, 90, 89, 94)(91, 96, 95, 100)(93, 98, 97, 102)(99, 104, 103, 108)(101, 106, 105, 110)(107, 112, 111, 116)(109, 114, 113, 118)(115, 120, 119, 117)(121, 123, 128, 126)(122, 124, 125, 129)(127, 131, 132, 135)(130, 133, 134, 137)(136, 139, 140, 143)(138, 141, 142, 145)(144, 147, 148, 151)(146, 149, 150, 153)(152, 155, 156, 159)(154, 157, 158, 160)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 40^4 ), ( 40^40 ) }
Outer automorphisms :: reflexible
Dual of E28.589
Graph:: bipartite
	v = 22 e = 80 f = 4
	degree seq :: [ 4^20, 40^2 ]

E28.588 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 10, 20})
Quotient :: loop^2
Aut^+ = C5 : Q8 (small group id <40, 4>)
Aut   = C40 : C2 (small group id <80, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y1^4, Y2 * Y1^2 * Y2, Y2^-1 * Y1^-1 * Y2^-1 * Y1, R * Y1 * R * Y2, Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y2^2 * Y1^-2, Y2 * Y3^-1 * Y2^-1 * Y3^-1, (R * Y3)^2, Y2^-1 * Y3 * Y1 * Y2 * Y3^-1 * Y1, Y3^-1 * Y1^-1 * Y3^4 * Y1^-1, Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 41, 81, 121, 4, 44, 84, 124, 15, 55, 95, 135, 31, 71, 111, 151, 22, 62, 102, 142, 8, 48, 88, 128, 21, 61, 101, 141, 36, 76, 116, 156, 20, 60, 100, 140, 7, 47, 87, 127)(2, 42, 82, 122, 10, 50, 90, 130, 25, 65, 105, 145, 32, 72, 112, 152, 16, 56, 96, 136, 5, 45, 85, 125, 18, 58, 98, 138, 34, 74, 114, 154, 28, 68, 108, 148, 12, 52, 92, 132)(3, 43, 83, 123, 13, 53, 93, 133, 29, 69, 109, 149, 33, 73, 113, 153, 17, 57, 97, 137, 6, 46, 86, 126, 19, 59, 99, 139, 35, 75, 115, 155, 30, 70, 110, 150, 14, 54, 94, 134)(9, 49, 89, 129, 23, 63, 103, 143, 37, 77, 117, 157, 39, 79, 119, 159, 26, 66, 106, 146, 11, 51, 91, 131, 27, 67, 107, 147, 40, 80, 120, 160, 38, 78, 118, 158, 24, 64, 104, 144)
	L = (1, 42)(2, 48)(3, 51)(4, 52)(5, 41)(6, 49)(7, 50)(8, 45)(9, 43)(10, 62)(11, 46)(12, 61)(13, 66)(14, 67)(15, 68)(16, 44)(17, 63)(18, 47)(19, 64)(20, 65)(21, 56)(22, 58)(23, 54)(24, 53)(25, 71)(26, 59)(27, 57)(28, 76)(29, 79)(30, 80)(31, 74)(32, 55)(33, 77)(34, 60)(35, 78)(36, 72)(37, 70)(38, 69)(39, 75)(40, 73)(81, 123)(82, 129)(83, 128)(84, 134)(85, 131)(86, 121)(87, 133)(88, 126)(89, 125)(90, 144)(91, 122)(92, 143)(93, 142)(94, 141)(95, 150)(96, 147)(97, 124)(98, 146)(99, 127)(100, 149)(101, 137)(102, 139)(103, 136)(104, 138)(105, 158)(106, 130)(107, 132)(108, 157)(109, 151)(110, 156)(111, 155)(112, 160)(113, 135)(114, 159)(115, 140)(116, 153)(117, 152)(118, 154)(119, 145)(120, 148)
	local type(s) :: { ( 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40 ) }
Outer automorphisms :: reflexible
Dual of E28.586
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 80 f = 22
	degree seq :: [ 40^4 ]

E28.589 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 10, 20})
Quotient :: loop^2
Aut^+ = C5 : Q8 (small group id <40, 4>)
Aut   = C40 : C2 (small group id <80, 6>)
|r| :: 2
Presentation :: [ R^2, Y1^4, Y1^-2 * Y2^2, R * Y2 * R * Y1, Y2 * Y3^-1 * Y2^-1 * Y3^-1, Y1^-1 * Y2^-2 * Y1^-1, Y3 * Y1 * Y3 * Y1^-1, (R * Y3)^2, Y3 * Y2^2 * Y3^-1 * Y2^2, Y3 * Y2 * Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y3^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1, Y3^-1 * Y1^-1 * Y2 * Y3^-1 * Y1 * Y2, Y1 * Y3^-1 * Y2 * Y1^-1 * Y2^-1 * Y3^2, Y3 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 41, 81, 121, 4, 44, 84, 124, 17, 57, 97, 137, 37, 77, 117, 157, 24, 64, 104, 144, 8, 48, 88, 128, 23, 63, 103, 143, 40, 80, 120, 160, 22, 62, 102, 142, 7, 47, 87, 127)(2, 42, 82, 122, 10, 50, 90, 130, 29, 69, 109, 149, 38, 78, 118, 158, 18, 58, 98, 138, 5, 45, 85, 125, 20, 60, 100, 140, 33, 73, 113, 153, 32, 72, 112, 152, 12, 52, 92, 132)(3, 43, 83, 123, 14, 54, 94, 134, 35, 75, 115, 155, 27, 67, 107, 147, 19, 59, 99, 139, 6, 46, 86, 126, 21, 61, 101, 141, 39, 79, 119, 159, 25, 65, 105, 145, 16, 56, 96, 136)(9, 49, 89, 129, 26, 66, 106, 146, 34, 74, 114, 154, 13, 53, 93, 133, 30, 70, 110, 150, 11, 51, 91, 131, 31, 71, 111, 151, 36, 76, 116, 156, 15, 55, 95, 135, 28, 68, 108, 148)
	L = (1, 42)(2, 48)(3, 53)(4, 52)(5, 41)(6, 55)(7, 50)(8, 45)(9, 65)(10, 64)(11, 67)(12, 63)(13, 46)(14, 74)(15, 43)(16, 70)(17, 72)(18, 44)(19, 68)(20, 47)(21, 76)(22, 69)(23, 58)(24, 60)(25, 51)(26, 79)(27, 49)(28, 56)(29, 77)(30, 59)(31, 75)(32, 80)(33, 62)(34, 61)(35, 66)(36, 54)(37, 73)(38, 57)(39, 71)(40, 78)(81, 123)(82, 129)(83, 128)(84, 136)(85, 131)(86, 121)(87, 134)(88, 126)(89, 125)(90, 148)(91, 122)(92, 146)(93, 149)(94, 144)(95, 153)(96, 143)(97, 145)(98, 151)(99, 124)(100, 150)(101, 127)(102, 155)(103, 139)(104, 141)(105, 160)(106, 138)(107, 137)(108, 140)(109, 135)(110, 130)(111, 132)(112, 154)(113, 133)(114, 158)(115, 157)(116, 152)(117, 159)(118, 156)(119, 142)(120, 147)
	local type(s) :: { ( 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40 ) }
Outer automorphisms :: reflexible
Dual of E28.587
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 80 f = 22
	degree seq :: [ 40^4 ]

E28.590 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 10, 20})
Quotient :: loop^2
Aut^+ = C5 : Q8 (small group id <40, 4>)
Aut   = C40 : C2 (small group id <80, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-1 * Y2 * Y3^-1, Y2 * Y1^-2 * Y2, Y2^-1 * Y1^-1 * Y2^-1 * Y1, Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y1 * Y3^-1 * Y1^-1 * Y3^-1, Y2^4, Y2^2 * Y1^2, R * Y1 * R * Y2, (R * Y3)^2, Y2^-1 * Y3 * Y1 * Y2 * Y3^-1 * Y1, Y3^2 * Y2 * Y1 * Y3^3, (Y3^2 * Y1^-2)^5 ]
Map:: non-degenerate
	R = (1, 41, 81, 121, 4, 44, 84, 124, 15, 55, 95, 135, 31, 71, 111, 151, 24, 64, 104, 144, 9, 49, 89, 129, 23, 63, 103, 143, 39, 79, 119, 159, 38, 78, 118, 158, 22, 62, 102, 142, 8, 48, 88, 128, 21, 61, 101, 141, 37, 77, 117, 157, 40, 80, 120, 160, 26, 66, 106, 146, 11, 51, 91, 131, 27, 67, 107, 147, 36, 76, 116, 156, 20, 60, 100, 140, 7, 47, 87, 127)(2, 42, 82, 122, 10, 50, 90, 130, 25, 65, 105, 145, 33, 73, 113, 153, 17, 57, 97, 137, 6, 46, 86, 126, 19, 59, 99, 139, 35, 75, 115, 155, 32, 72, 112, 152, 16, 56, 96, 136, 5, 45, 85, 125, 18, 58, 98, 138, 34, 74, 114, 154, 30, 70, 110, 150, 14, 54, 94, 134, 3, 43, 83, 123, 13, 53, 93, 133, 29, 69, 109, 149, 28, 68, 108, 148, 12, 52, 92, 132)
	L = (1, 42)(2, 48)(3, 51)(4, 52)(5, 41)(6, 49)(7, 50)(8, 45)(9, 43)(10, 62)(11, 46)(12, 61)(13, 66)(14, 67)(15, 68)(16, 44)(17, 63)(18, 47)(19, 64)(20, 65)(21, 56)(22, 58)(23, 54)(24, 53)(25, 78)(26, 59)(27, 57)(28, 77)(29, 80)(30, 76)(31, 69)(32, 55)(33, 79)(34, 60)(35, 71)(36, 73)(37, 72)(38, 74)(39, 70)(40, 75)(81, 123)(82, 129)(83, 128)(84, 134)(85, 131)(86, 121)(87, 133)(88, 126)(89, 125)(90, 144)(91, 122)(92, 143)(93, 142)(94, 141)(95, 150)(96, 147)(97, 124)(98, 146)(99, 127)(100, 149)(101, 137)(102, 139)(103, 136)(104, 138)(105, 151)(106, 130)(107, 132)(108, 159)(109, 158)(110, 157)(111, 154)(112, 156)(113, 135)(114, 160)(115, 140)(116, 148)(117, 153)(118, 155)(119, 152)(120, 145)
	local type(s) :: { ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E28.584
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 80 f = 24
	degree seq :: [ 80^2 ]

E28.591 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 10, 20})
Quotient :: loop^2
Aut^+ = C5 : Q8 (small group id <40, 4>)
Aut   = C40 : C2 (small group id <80, 6>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2 * Y1, Y1 * Y2 * Y3^-1, Y2^-2 * Y1^2, R * Y2 * R * Y1, (R * Y3)^2, Y1^-1 * Y2 * Y3^9 ]
Map:: non-degenerate
	R = (1, 41, 81, 121, 4, 44, 84, 124, 13, 53, 93, 133, 21, 61, 101, 141, 29, 69, 109, 149, 37, 77, 117, 157, 36, 76, 116, 156, 28, 68, 108, 148, 20, 60, 100, 140, 12, 52, 92, 132, 8, 48, 88, 128, 9, 49, 89, 129, 17, 57, 97, 137, 25, 65, 105, 145, 33, 73, 113, 153, 40, 80, 120, 160, 32, 72, 112, 152, 24, 64, 104, 144, 16, 56, 96, 136, 7, 47, 87, 127)(2, 42, 82, 122, 6, 46, 86, 126, 15, 55, 95, 135, 23, 63, 103, 143, 31, 71, 111, 151, 39, 79, 119, 159, 38, 78, 118, 158, 30, 70, 110, 150, 22, 62, 102, 142, 14, 54, 94, 134, 5, 45, 85, 125, 3, 43, 83, 123, 11, 51, 91, 131, 19, 59, 99, 139, 27, 67, 107, 147, 35, 75, 115, 155, 34, 74, 114, 154, 26, 66, 106, 146, 18, 58, 98, 138, 10, 50, 90, 130)
	L = (1, 42)(2, 48)(3, 47)(4, 50)(5, 41)(6, 52)(7, 46)(8, 45)(9, 54)(10, 49)(11, 56)(12, 43)(13, 58)(14, 44)(15, 60)(16, 55)(17, 62)(18, 57)(19, 64)(20, 51)(21, 66)(22, 53)(23, 68)(24, 63)(25, 70)(26, 65)(27, 72)(28, 59)(29, 74)(30, 61)(31, 76)(32, 71)(33, 78)(34, 73)(35, 80)(36, 67)(37, 75)(38, 69)(39, 77)(40, 79)(81, 123)(82, 124)(83, 128)(84, 125)(85, 129)(86, 121)(87, 131)(88, 126)(89, 122)(90, 133)(91, 132)(92, 135)(93, 134)(94, 137)(95, 127)(96, 139)(97, 130)(98, 141)(99, 140)(100, 143)(101, 142)(102, 145)(103, 136)(104, 147)(105, 138)(106, 149)(107, 148)(108, 151)(109, 150)(110, 153)(111, 144)(112, 155)(113, 146)(114, 157)(115, 156)(116, 159)(117, 158)(118, 160)(119, 152)(120, 154)
	local type(s) :: { ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E28.585
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 80 f = 24
	degree seq :: [ 80^2 ]

E28.592 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 10, 20})
Quotient :: dipole
Aut^+ = C5 : Q8 (small group id <40, 4>)
Aut   = (C20 x C2) : C2 (small group id <80, 38>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y3^-2, Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y1^4, (R * Y3)^2, Y3 * Y1^-1 * Y3^-1 * Y1^-1, (R * Y1)^2, Y1 * Y3^2 * Y1, (R * Y2)^2, (Y3, Y2^-1), Y2 * Y1 * Y2 * Y1^-1, Y3^-2 * Y2^5, Y2^-1 * Y1^-2 * Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 5, 45)(3, 43, 11, 51, 21, 61, 15, 55)(4, 44, 12, 52, 7, 47, 10, 50)(6, 46, 9, 49, 22, 62, 18, 58)(13, 53, 27, 67, 35, 75, 31, 71)(14, 54, 28, 68, 16, 56, 26, 66)(17, 57, 25, 65, 20, 60, 24, 64)(19, 59, 23, 63, 29, 69, 34, 74)(30, 70, 40, 80, 32, 72, 39, 79)(33, 73, 38, 78, 36, 76, 37, 77)(81, 121, 83, 123, 93, 133, 109, 149, 102, 142, 88, 128, 101, 141, 115, 155, 99, 139, 86, 126)(82, 122, 89, 129, 103, 143, 111, 151, 95, 135, 85, 125, 98, 138, 114, 154, 107, 147, 91, 131)(84, 124, 94, 134, 110, 150, 116, 156, 100, 140, 87, 127, 96, 136, 112, 152, 113, 153, 97, 137)(90, 130, 104, 144, 117, 157, 120, 160, 108, 148, 92, 132, 105, 145, 118, 158, 119, 159, 106, 146)
	L = (1, 84)(2, 90)(3, 94)(4, 88)(5, 92)(6, 97)(7, 81)(8, 87)(9, 104)(10, 85)(11, 106)(12, 82)(13, 110)(14, 101)(15, 108)(16, 83)(17, 102)(18, 105)(19, 113)(20, 86)(21, 96)(22, 100)(23, 117)(24, 98)(25, 89)(26, 95)(27, 119)(28, 91)(29, 116)(30, 115)(31, 120)(32, 93)(33, 109)(34, 118)(35, 112)(36, 99)(37, 114)(38, 103)(39, 111)(40, 107)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8, 40, 8, 40, 8, 40, 8, 40 ), ( 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40 ) }
Outer automorphisms :: reflexible
Dual of E28.596
Graph:: bipartite
	v = 14 e = 80 f = 12
	degree seq :: [ 8^10, 20^4 ]

E28.593 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 10, 20})
Quotient :: dipole
Aut^+ = C5 : Q8 (small group id <40, 4>)
Aut   = (C20 x C2) : C2 (small group id <80, 38>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^2, Y3 * Y1^-1 * Y3 * Y1, (R * Y2)^2, Y1^4, Y2 * Y1 * Y2 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2^-5 * Y1^-1, Y2^3 * Y1^-1 * Y2^-2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 5, 45)(3, 43, 11, 51, 21, 61, 15, 55)(4, 44, 12, 52, 22, 62, 16, 56)(6, 46, 9, 49, 23, 63, 17, 57)(7, 47, 10, 50, 24, 64, 18, 58)(13, 53, 27, 67, 35, 75, 31, 71)(14, 54, 28, 68, 37, 77, 32, 72)(19, 59, 25, 65, 29, 69, 33, 73)(20, 60, 26, 66, 38, 78, 34, 74)(30, 70, 40, 80, 36, 76, 39, 79)(81, 121, 83, 123, 93, 133, 109, 149, 103, 143, 88, 128, 101, 141, 115, 155, 99, 139, 86, 126)(82, 122, 89, 129, 105, 145, 111, 151, 95, 135, 85, 125, 97, 137, 113, 153, 107, 147, 91, 131)(84, 124, 94, 134, 110, 150, 118, 158, 104, 144, 102, 142, 117, 157, 116, 156, 100, 140, 87, 127)(90, 130, 106, 146, 119, 159, 112, 152, 96, 136, 98, 138, 114, 154, 120, 160, 108, 148, 92, 132)
	L = (1, 84)(2, 90)(3, 94)(4, 83)(5, 98)(6, 87)(7, 81)(8, 102)(9, 106)(10, 89)(11, 92)(12, 82)(13, 110)(14, 93)(15, 96)(16, 85)(17, 114)(18, 97)(19, 100)(20, 86)(21, 117)(22, 101)(23, 104)(24, 88)(25, 119)(26, 105)(27, 108)(28, 91)(29, 118)(30, 109)(31, 112)(32, 95)(33, 120)(34, 113)(35, 116)(36, 99)(37, 115)(38, 103)(39, 111)(40, 107)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8, 40, 8, 40, 8, 40, 8, 40 ), ( 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40 ) }
Outer automorphisms :: reflexible
Dual of E28.597
Graph:: bipartite
	v = 14 e = 80 f = 12
	degree seq :: [ 8^10, 20^4 ]

E28.594 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 10, 20})
Quotient :: dipole
Aut^+ = C5 : Q8 (small group id <40, 4>)
Aut   = (C20 x C2) : C2 (small group id <80, 38>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^2, Y3 * Y1 * Y3 * Y1^-1, Y3^-1 * Y1^-1 * Y3^-1 * Y1, (R * Y2^-1)^2, (R * Y1)^2, Y1 * Y2^-1 * Y1^-1 * Y2^-1, (R * Y3)^2, Y1^4, Y2 * Y1^-1 * Y2^-4 * Y1^-1, Y2^2 * Y1^-1 * Y2 * Y1^-2 * Y2 * Y1^-1, Y2^3 * Y3^-1 * Y2 * Y1^-1 * Y3 * Y1^-1, (Y3 * Y2^-1)^20 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 5, 45)(3, 43, 11, 51, 21, 61, 14, 54)(4, 44, 12, 52, 22, 62, 16, 56)(6, 46, 9, 49, 23, 63, 18, 58)(7, 47, 10, 50, 24, 64, 19, 59)(13, 53, 28, 68, 36, 76, 30, 70)(15, 55, 27, 67, 37, 77, 32, 72)(17, 57, 26, 66, 38, 78, 33, 73)(20, 60, 25, 65, 29, 69, 35, 75)(31, 71, 40, 80, 34, 74, 39, 79)(81, 121, 83, 123, 93, 133, 109, 149, 103, 143, 88, 128, 101, 141, 116, 156, 100, 140, 86, 126)(82, 122, 89, 129, 105, 145, 110, 150, 94, 134, 85, 125, 98, 138, 115, 155, 108, 148, 91, 131)(84, 124, 87, 127, 95, 135, 111, 151, 118, 158, 102, 142, 104, 144, 117, 157, 114, 154, 97, 137)(90, 130, 92, 132, 106, 146, 119, 159, 112, 152, 99, 139, 96, 136, 113, 153, 120, 160, 107, 147)
	L = (1, 84)(2, 90)(3, 87)(4, 86)(5, 99)(6, 97)(7, 81)(8, 102)(9, 92)(10, 91)(11, 107)(12, 82)(13, 95)(14, 112)(15, 83)(16, 85)(17, 100)(18, 96)(19, 94)(20, 114)(21, 104)(22, 103)(23, 118)(24, 88)(25, 106)(26, 89)(27, 108)(28, 120)(29, 111)(30, 119)(31, 93)(32, 110)(33, 98)(34, 116)(35, 113)(36, 117)(37, 101)(38, 109)(39, 105)(40, 115)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8, 40, 8, 40, 8, 40, 8, 40 ), ( 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40 ) }
Outer automorphisms :: reflexible
Dual of E28.598
Graph:: bipartite
	v = 14 e = 80 f = 12
	degree seq :: [ 8^10, 20^4 ]

E28.595 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 10, 20})
Quotient :: dipole
Aut^+ = C5 : Q8 (small group id <40, 4>)
Aut   = (C20 x C2) : C2 (small group id <80, 38>)
|r| :: 2
Presentation :: [ R^2, Y1^4, Y2 * Y1^-1 * Y2 * Y1, Y1^4, (R * Y2^-1)^2, Y3^-1 * Y1^-1 * Y3^-1 * Y1, (R * Y1)^2, (Y2^-1, Y3), (R * Y3)^2, Y3^-2 * Y2^3, Y1^2 * Y2^2 * Y3^2, Y1^-2 * Y2^-2 * Y3^-2, Y1^-2 * Y3 * Y1^-2 * Y3^-1, Y1^-1 * Y2 * Y1^-2 * Y2^-1 * Y1^-1, Y3 * Y2 * Y3 * Y2 * Y1^-2, Y3^6 * Y2 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 5, 45)(3, 43, 11, 51, 25, 65, 15, 55)(4, 44, 12, 52, 26, 66, 18, 58)(6, 46, 9, 49, 27, 67, 20, 60)(7, 47, 10, 50, 28, 68, 21, 61)(13, 53, 34, 74, 24, 64, 32, 72)(14, 54, 35, 75, 23, 63, 30, 70)(16, 56, 33, 73, 38, 78, 37, 77)(17, 57, 36, 76, 22, 62, 29, 69)(19, 59, 31, 71, 40, 80, 39, 79)(81, 121, 83, 123, 93, 133, 97, 137, 107, 147, 88, 128, 105, 145, 104, 144, 102, 142, 86, 126)(82, 122, 89, 129, 109, 149, 112, 152, 95, 135, 85, 125, 100, 140, 116, 156, 114, 154, 91, 131)(84, 124, 94, 134, 108, 148, 118, 158, 120, 160, 106, 146, 103, 143, 87, 127, 96, 136, 99, 139)(90, 130, 110, 150, 98, 138, 119, 159, 117, 157, 101, 141, 115, 155, 92, 132, 111, 151, 113, 153)
	L = (1, 84)(2, 90)(3, 94)(4, 97)(5, 101)(6, 99)(7, 81)(8, 106)(9, 110)(10, 112)(11, 113)(12, 82)(13, 108)(14, 107)(15, 117)(16, 83)(17, 118)(18, 85)(19, 93)(20, 115)(21, 114)(22, 96)(23, 86)(24, 87)(25, 103)(26, 102)(27, 120)(28, 88)(29, 98)(30, 95)(31, 89)(32, 119)(33, 109)(34, 111)(35, 91)(36, 92)(37, 116)(38, 105)(39, 100)(40, 104)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8, 40, 8, 40, 8, 40, 8, 40 ), ( 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40 ) }
Outer automorphisms :: reflexible
Dual of E28.599
Graph:: bipartite
	v = 14 e = 80 f = 12
	degree seq :: [ 8^10, 20^4 ]

E28.596 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 10, 20})
Quotient :: dipole
Aut^+ = C5 : Q8 (small group id <40, 4>)
Aut   = (C20 x C2) : C2 (small group id <80, 38>)
|r| :: 2
Presentation :: [ R^2, Y3^4, Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y2^4, Y2 * Y3^-1 * Y2^-1 * Y3^-1, (Y3, Y1^-1), Y2 * Y3^2 * Y2, Y2^-1 * Y1^-1 * Y2 * Y1^-1, (R * Y1)^2, (R * Y3)^2, R * Y2 * R * Y2^-1, Y3 * Y1^-5, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 21, 61, 17, 57, 4, 44, 10, 50, 23, 63, 36, 76, 30, 70, 14, 54, 26, 66, 38, 78, 34, 74, 20, 60, 7, 47, 12, 52, 25, 65, 18, 58, 5, 45)(3, 43, 13, 53, 29, 69, 39, 79, 27, 67, 15, 55, 31, 71, 37, 77, 24, 64, 11, 51, 6, 46, 19, 59, 33, 73, 40, 80, 28, 68, 16, 56, 32, 72, 35, 75, 22, 62, 9, 49)(81, 121, 83, 123, 94, 134, 86, 126)(82, 122, 89, 129, 106, 146, 91, 131)(84, 124, 96, 136, 87, 127, 95, 135)(85, 125, 93, 133, 110, 150, 99, 139)(88, 128, 102, 142, 118, 158, 104, 144)(90, 130, 108, 148, 92, 132, 107, 147)(97, 137, 112, 152, 100, 140, 111, 151)(98, 138, 109, 149, 116, 156, 113, 153)(101, 141, 115, 155, 114, 154, 117, 157)(103, 143, 120, 160, 105, 145, 119, 159)
	L = (1, 84)(2, 90)(3, 95)(4, 94)(5, 97)(6, 96)(7, 81)(8, 103)(9, 107)(10, 106)(11, 108)(12, 82)(13, 111)(14, 87)(15, 86)(16, 83)(17, 110)(18, 101)(19, 112)(20, 85)(21, 116)(22, 119)(23, 118)(24, 120)(25, 88)(26, 92)(27, 91)(28, 89)(29, 117)(30, 100)(31, 99)(32, 93)(33, 115)(34, 98)(35, 109)(36, 114)(37, 113)(38, 105)(39, 104)(40, 102)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8, 20, 8, 20, 8, 20, 8, 20 ), ( 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20 ) }
Outer automorphisms :: reflexible
Dual of E28.592
Graph:: bipartite
	v = 12 e = 80 f = 14
	degree seq :: [ 8^10, 40^2 ]

E28.597 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 10, 20})
Quotient :: dipole
Aut^+ = C5 : Q8 (small group id <40, 4>)
Aut   = (C20 x C2) : C2 (small group id <80, 38>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2^4, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4, Y2^2 * Y1^10, Y1^-1 * Y2 * Y1^4 * Y2 * Y1^-5, (Y3^-1 * Y1^-1)^10 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 6, 46, 13, 53, 21, 61, 29, 69, 37, 77, 34, 74, 26, 66, 18, 58, 10, 50, 16, 56, 24, 64, 32, 72, 40, 80, 35, 75, 27, 67, 19, 59, 11, 51, 4, 44)(3, 43, 9, 49, 17, 57, 25, 65, 33, 73, 39, 79, 31, 71, 23, 63, 15, 55, 8, 48, 5, 45, 12, 52, 20, 60, 28, 68, 36, 76, 38, 78, 30, 70, 22, 62, 14, 54, 7, 47)(81, 121, 83, 123, 90, 130, 85, 125)(82, 122, 87, 127, 96, 136, 88, 128)(84, 124, 89, 129, 98, 138, 92, 132)(86, 126, 94, 134, 104, 144, 95, 135)(91, 131, 97, 137, 106, 146, 100, 140)(93, 133, 102, 142, 112, 152, 103, 143)(99, 139, 105, 145, 114, 154, 108, 148)(101, 141, 110, 150, 120, 160, 111, 151)(107, 147, 113, 153, 117, 157, 116, 156)(109, 149, 118, 158, 115, 155, 119, 159)
	L = (1, 82)(2, 86)(3, 89)(4, 81)(5, 92)(6, 93)(7, 83)(8, 85)(9, 97)(10, 96)(11, 84)(12, 100)(13, 101)(14, 87)(15, 88)(16, 104)(17, 105)(18, 90)(19, 91)(20, 108)(21, 109)(22, 94)(23, 95)(24, 112)(25, 113)(26, 98)(27, 99)(28, 116)(29, 117)(30, 102)(31, 103)(32, 120)(33, 119)(34, 106)(35, 107)(36, 118)(37, 114)(38, 110)(39, 111)(40, 115)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8, 20, 8, 20, 8, 20, 8, 20 ), ( 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20 ) }
Outer automorphisms :: reflexible
Dual of E28.593
Graph:: bipartite
	v = 12 e = 80 f = 14
	degree seq :: [ 8^10, 40^2 ]

E28.598 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 10, 20})
Quotient :: dipole
Aut^+ = C5 : Q8 (small group id <40, 4>)
Aut   = (C20 x C2) : C2 (small group id <80, 38>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-3, (Y1, Y3^-1), Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2^4, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y2^-1 * Y1^-2 * Y2^-1, Y1^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1^-1, Y1^20 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 23, 63, 37, 77, 35, 75, 17, 57, 7, 47, 12, 52, 27, 67, 14, 54, 28, 68, 18, 58, 4, 44, 10, 50, 25, 65, 38, 78, 34, 74, 20, 60, 5, 45)(3, 43, 13, 53, 32, 72, 22, 62, 36, 76, 39, 79, 30, 70, 16, 56, 26, 66, 11, 51, 6, 46, 21, 61, 29, 69, 15, 55, 33, 73, 40, 80, 31, 71, 19, 59, 24, 64, 9, 49)(81, 121, 83, 123, 94, 134, 86, 126)(82, 122, 89, 129, 108, 148, 91, 131)(84, 124, 96, 136, 103, 143, 99, 139)(85, 125, 93, 133, 107, 147, 101, 141)(87, 127, 95, 135, 114, 154, 102, 142)(88, 128, 104, 144, 98, 138, 106, 146)(90, 130, 110, 150, 117, 157, 111, 151)(92, 132, 109, 149, 100, 140, 112, 152)(97, 137, 113, 153, 118, 158, 116, 156)(105, 145, 119, 159, 115, 155, 120, 160)
	L = (1, 84)(2, 90)(3, 95)(4, 97)(5, 98)(6, 102)(7, 81)(8, 105)(9, 109)(10, 87)(11, 112)(12, 82)(13, 113)(14, 103)(15, 110)(16, 83)(17, 85)(18, 115)(19, 86)(20, 108)(21, 116)(22, 111)(23, 118)(24, 101)(25, 92)(26, 93)(27, 88)(28, 117)(29, 119)(30, 89)(31, 91)(32, 120)(33, 96)(34, 94)(35, 100)(36, 99)(37, 114)(38, 107)(39, 104)(40, 106)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8, 20, 8, 20, 8, 20, 8, 20 ), ( 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20 ) }
Outer automorphisms :: reflexible
Dual of E28.594
Graph:: bipartite
	v = 12 e = 80 f = 14
	degree seq :: [ 8^10, 40^2 ]

E28.599 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 10, 20})
Quotient :: dipole
Aut^+ = C5 : Q8 (small group id <40, 4>)
Aut   = (C20 x C2) : C2 (small group id <80, 38>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1 * Y1^-2, Y1 * Y2 * Y1 * Y2^-1, Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), Y2^4, (R * Y2 * Y3^-1)^2, R * Y2 * Y3 * Y1^-1 * R * Y2^-1, Y1 * Y2^-1 * Y3^2 * Y2^-1 * Y3^-1, Y2^-1 * Y1 * Y3^-3 * Y2^-1, Y1^-1 * Y2^2 * Y3^-2 * Y1^-1 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 7, 47, 12, 52, 25, 65, 22, 62, 32, 72, 40, 80, 33, 73, 14, 54, 26, 66, 37, 77, 35, 75, 17, 57, 29, 69, 18, 58, 4, 44, 10, 50, 5, 45)(3, 43, 13, 53, 28, 68, 16, 56, 34, 74, 39, 79, 31, 71, 21, 61, 24, 64, 11, 51, 6, 46, 20, 60, 30, 70, 19, 59, 36, 76, 38, 78, 27, 67, 15, 55, 23, 63, 9, 49)(81, 121, 83, 123, 94, 134, 86, 126)(82, 122, 89, 129, 106, 146, 91, 131)(84, 124, 96, 136, 112, 152, 99, 139)(85, 125, 93, 133, 113, 153, 100, 140)(87, 127, 95, 135, 115, 155, 101, 141)(88, 128, 103, 143, 117, 157, 104, 144)(90, 130, 108, 148, 120, 160, 110, 150)(92, 132, 107, 147, 97, 137, 111, 151)(98, 138, 114, 154, 102, 142, 116, 156)(105, 145, 118, 158, 109, 149, 119, 159)
	L = (1, 84)(2, 90)(3, 95)(4, 97)(5, 98)(6, 101)(7, 81)(8, 85)(9, 107)(10, 109)(11, 111)(12, 82)(13, 103)(14, 112)(15, 116)(16, 83)(17, 106)(18, 115)(19, 86)(20, 104)(21, 114)(22, 87)(23, 118)(24, 119)(25, 88)(26, 120)(27, 99)(28, 89)(29, 117)(30, 91)(31, 96)(32, 92)(33, 102)(34, 93)(35, 94)(36, 100)(37, 113)(38, 110)(39, 108)(40, 105)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8, 20, 8, 20, 8, 20, 8, 20 ), ( 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20 ) }
Outer automorphisms :: reflexible
Dual of E28.595
Graph:: bipartite
	v = 12 e = 80 f = 14
	degree seq :: [ 8^10, 40^2 ]

E28.600 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 10, 20})
Quotient :: dipole
Aut^+ = C5 x Q8 (small group id <40, 11>)
Aut   = (C4 x D10) : C2 (small group id <80, 42>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1, Y1^-1), (Y3^-1, Y2^-1), Y3^-1 * Y1^-1 * Y3 * Y1^-1, Y3^2 * Y1^-2, Y1^-1 * Y3^-2 * Y1^-1, Y3^4, (R * Y3)^2, Y3^-1 * Y1 * Y3^-1 * Y1^-1, (R * Y2)^2, (R * Y1)^2, Y1 * Y2 * Y1 * Y3^-2 * Y2^-1, Y3^2 * Y2^5, Y2^-2 * Y1 * Y2^-3 * Y1, Y3^8 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 5, 45)(3, 43, 9, 49, 21, 61, 15, 55)(4, 44, 12, 52, 7, 47, 10, 50)(6, 46, 11, 51, 22, 62, 18, 58)(13, 53, 23, 63, 35, 75, 31, 71)(14, 54, 25, 65, 16, 56, 24, 64)(17, 57, 28, 68, 20, 60, 26, 66)(19, 59, 27, 67, 29, 69, 34, 74)(30, 70, 38, 78, 32, 72, 37, 77)(33, 73, 40, 80, 36, 76, 39, 79)(81, 121, 83, 123, 93, 133, 109, 149, 102, 142, 88, 128, 101, 141, 115, 155, 99, 139, 86, 126)(82, 122, 89, 129, 103, 143, 114, 154, 98, 138, 85, 125, 95, 135, 111, 151, 107, 147, 91, 131)(84, 124, 94, 134, 110, 150, 116, 156, 100, 140, 87, 127, 96, 136, 112, 152, 113, 153, 97, 137)(90, 130, 104, 144, 117, 157, 120, 160, 108, 148, 92, 132, 105, 145, 118, 158, 119, 159, 106, 146)
	L = (1, 84)(2, 90)(3, 94)(4, 88)(5, 92)(6, 97)(7, 81)(8, 87)(9, 104)(10, 85)(11, 106)(12, 82)(13, 110)(14, 101)(15, 105)(16, 83)(17, 102)(18, 108)(19, 113)(20, 86)(21, 96)(22, 100)(23, 117)(24, 95)(25, 89)(26, 98)(27, 119)(28, 91)(29, 116)(30, 115)(31, 118)(32, 93)(33, 109)(34, 120)(35, 112)(36, 99)(37, 111)(38, 103)(39, 114)(40, 107)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8, 40, 8, 40, 8, 40, 8, 40 ), ( 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40 ) }
Outer automorphisms :: reflexible
Dual of E28.601
Graph:: bipartite
	v = 14 e = 80 f = 12
	degree seq :: [ 8^10, 20^4 ]

E28.601 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 10, 20})
Quotient :: dipole
Aut^+ = C5 x Q8 (small group id <40, 11>)
Aut   = (C4 x D10) : C2 (small group id <80, 42>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^2 * Y2^-1, Y3 * Y2 * Y3 * Y2^-1, Y2^4, Y3^2 * Y2^2, (R * Y1)^2, Y2 * Y3^-1 * Y2 * Y3, Y2^-1 * Y1 * Y2^-1 * Y1^-1, (R * Y3)^2, R * Y2 * R * Y2^-1, (Y1, Y3^-1), Y3^-1 * Y2^-1 * Y1^-1 * Y2 * Y3^-1 * Y1, Y3 * Y1^-5, Y2 * Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1, Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y3^-1 * Y1^-3, Y3 * Y2^-1 * Y1^-1 * Y2 * Y1^2 * Y3 * Y1^2 * Y2^2 * Y1^2 * Y3 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 21, 61, 17, 57, 4, 44, 10, 50, 23, 63, 36, 76, 29, 69, 13, 53, 26, 66, 38, 78, 34, 74, 20, 60, 7, 47, 12, 52, 25, 65, 19, 59, 5, 45)(3, 43, 11, 51, 22, 62, 37, 77, 30, 70, 14, 54, 28, 68, 39, 79, 33, 73, 18, 58, 6, 46, 9, 49, 24, 64, 35, 75, 32, 72, 16, 56, 27, 67, 40, 80, 31, 71, 15, 55)(81, 121, 83, 123, 93, 133, 86, 126)(82, 122, 89, 129, 106, 146, 91, 131)(84, 124, 96, 136, 87, 127, 94, 134)(85, 125, 98, 138, 109, 149, 95, 135)(88, 128, 102, 142, 118, 158, 104, 144)(90, 130, 108, 148, 92, 132, 107, 147)(97, 137, 110, 150, 100, 140, 112, 152)(99, 139, 111, 151, 116, 156, 113, 153)(101, 141, 115, 155, 114, 154, 117, 157)(103, 143, 120, 160, 105, 145, 119, 159)
	L = (1, 84)(2, 90)(3, 94)(4, 93)(5, 97)(6, 96)(7, 81)(8, 103)(9, 107)(10, 106)(11, 108)(12, 82)(13, 87)(14, 86)(15, 110)(16, 83)(17, 109)(18, 112)(19, 101)(20, 85)(21, 116)(22, 119)(23, 118)(24, 120)(25, 88)(26, 92)(27, 91)(28, 89)(29, 100)(30, 98)(31, 117)(32, 95)(33, 115)(34, 99)(35, 111)(36, 114)(37, 113)(38, 105)(39, 104)(40, 102)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8, 20, 8, 20, 8, 20, 8, 20 ), ( 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20 ) }
Outer automorphisms :: reflexible
Dual of E28.600
Graph:: bipartite
	v = 12 e = 80 f = 14
	degree seq :: [ 8^10, 40^2 ]

E28.602 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 20, 20, 20})
Quotient :: dipole
Aut^+ = C5 x Q8 (small group id <40, 11>)
Aut   = (C4 x D10) : C2 (small group id <80, 42>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^2 * Y3^2, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, Y3 * Y1 * Y3^-1 * Y1, (R * Y1)^2, Y2 * Y1 * Y3 * Y2^-1 * Y3^-1, R * Y2 * Y1 * R * Y2, Y3^2 * Y1 * Y2^3 * Y3^-1 * Y2^-1 * Y3, Y2^-2 * Y3^3 * Y2^-1 * Y3 * Y2^-3, Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 7, 47)(4, 44, 8, 48)(5, 45, 9, 49)(6, 46, 10, 50)(11, 51, 19, 59)(12, 52, 14, 54)(13, 53, 18, 58)(15, 55, 20, 60)(16, 56, 17, 57)(21, 61, 28, 68)(22, 62, 23, 63)(24, 64, 27, 67)(25, 65, 26, 66)(29, 69, 32, 72)(30, 70, 31, 71)(33, 73, 36, 76)(34, 74, 35, 75)(37, 77, 40, 80)(38, 78, 39, 79)(81, 121, 83, 123, 91, 131, 101, 141, 109, 149, 117, 157, 116, 156, 106, 146, 100, 140, 89, 129, 82, 122, 87, 127, 99, 139, 108, 148, 112, 152, 120, 160, 113, 153, 105, 145, 95, 135, 85, 125)(84, 124, 94, 134, 86, 126, 98, 138, 102, 142, 111, 151, 118, 158, 115, 155, 107, 147, 97, 137, 88, 128, 92, 132, 90, 130, 93, 133, 103, 143, 110, 150, 119, 159, 114, 154, 104, 144, 96, 136)
	L = (1, 84)(2, 88)(3, 92)(4, 95)(5, 97)(6, 81)(7, 94)(8, 100)(9, 96)(10, 82)(11, 86)(12, 85)(13, 83)(14, 89)(15, 104)(16, 106)(17, 105)(18, 87)(19, 90)(20, 107)(21, 93)(22, 91)(23, 99)(24, 113)(25, 115)(26, 114)(27, 116)(28, 98)(29, 102)(30, 101)(31, 108)(32, 103)(33, 119)(34, 117)(35, 120)(36, 118)(37, 110)(38, 109)(39, 112)(40, 111)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 40^4 ), ( 40^40 ) }
Outer automorphisms :: reflexible
Dual of E28.603
Graph:: bipartite
	v = 22 e = 80 f = 4
	degree seq :: [ 4^20, 40^2 ]

E28.603 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 20, 20, 20})
Quotient :: dipole
Aut^+ = C5 x Q8 (small group id <40, 11>)
Aut   = (C4 x D10) : C2 (small group id <80, 42>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y1), Y2^-1 * Y1 * Y2 * Y3, Y3^-1 * Y2 * Y1^-1 * Y2^-1, (Y3 * Y1)^2, Y1^-2 * Y3^-2, (R * Y1)^2, (R * Y3)^2, Y1^-2 * Y3 * Y2^-2 * Y1^-1, Y2^2 * Y3 * Y2 * Y3 * Y2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y1^-2, Y1^6 * Y2^-2, Y1^9 * Y3^-1, Y3^-1 * Y2^2 * Y1 * Y3^-1 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 23, 63, 37, 77, 34, 74, 14, 54, 28, 68, 18, 58, 4, 44, 10, 50, 7, 47, 12, 52, 26, 66, 22, 62, 32, 72, 40, 80, 33, 73, 17, 57, 5, 45)(3, 43, 13, 53, 24, 64, 20, 60, 30, 70, 11, 51, 31, 71, 38, 78, 36, 76, 15, 55, 29, 69, 9, 49, 27, 67, 19, 59, 6, 46, 21, 61, 25, 65, 39, 79, 35, 75, 16, 56)(81, 121, 83, 123, 94, 134, 111, 151, 92, 132, 107, 147, 97, 137, 115, 155, 117, 157, 110, 150, 90, 130, 109, 149, 120, 160, 105, 145, 88, 128, 104, 144, 98, 138, 116, 156, 102, 142, 86, 126)(82, 122, 89, 129, 108, 148, 119, 159, 106, 146, 100, 140, 85, 125, 95, 135, 114, 154, 101, 141, 87, 127, 93, 133, 113, 153, 118, 158, 103, 143, 99, 139, 84, 124, 96, 136, 112, 152, 91, 131)
	L = (1, 84)(2, 90)(3, 95)(4, 97)(5, 98)(6, 100)(7, 81)(8, 87)(9, 83)(10, 85)(11, 86)(12, 82)(13, 109)(14, 112)(15, 115)(16, 116)(17, 108)(18, 113)(19, 104)(20, 107)(21, 110)(22, 103)(23, 92)(24, 89)(25, 91)(26, 88)(27, 93)(28, 120)(29, 96)(30, 99)(31, 101)(32, 117)(33, 94)(34, 102)(35, 118)(36, 119)(37, 106)(38, 105)(39, 111)(40, 114)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40 ) }
Outer automorphisms :: reflexible
Dual of E28.602
Graph:: bipartite
	v = 4 e = 80 f = 22
	degree seq :: [ 40^4 ]

E28.604 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 40, 40})
Quotient :: dipole
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y1 * Y3^-1 * Y1, Y2^-1 * Y1 * Y2 * Y1, Y3^-4 * Y2, Y2^5 * Y1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 7, 47)(4, 44, 8, 48)(5, 45, 9, 49)(6, 46, 10, 50)(11, 51, 19, 59)(12, 52, 20, 60)(13, 53, 21, 61)(14, 54, 22, 62)(15, 55, 23, 63)(16, 56, 24, 64)(17, 57, 25, 65)(18, 58, 26, 66)(27, 67, 33, 73)(28, 68, 34, 74)(29, 69, 35, 75)(30, 70, 36, 76)(31, 71, 37, 77)(32, 72, 38, 78)(39, 79, 40, 80)(81, 121, 83, 123, 91, 131, 104, 144, 89, 129, 82, 122, 87, 127, 99, 139, 96, 136, 85, 125)(84, 124, 92, 132, 107, 147, 116, 156, 103, 143, 88, 128, 100, 140, 113, 153, 110, 150, 95, 135)(86, 126, 93, 133, 108, 148, 117, 157, 105, 145, 90, 130, 101, 141, 114, 154, 111, 151, 97, 137)(94, 134, 109, 149, 119, 159, 118, 158, 106, 146, 102, 142, 115, 155, 120, 160, 112, 152, 98, 138)
	L = (1, 84)(2, 88)(3, 92)(4, 94)(5, 95)(6, 81)(7, 100)(8, 102)(9, 103)(10, 82)(11, 107)(12, 109)(13, 83)(14, 93)(15, 98)(16, 110)(17, 85)(18, 86)(19, 113)(20, 115)(21, 87)(22, 101)(23, 106)(24, 116)(25, 89)(26, 90)(27, 119)(28, 91)(29, 108)(30, 112)(31, 96)(32, 97)(33, 120)(34, 99)(35, 114)(36, 118)(37, 104)(38, 105)(39, 117)(40, 111)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 80^4 ), ( 80^20 ) }
Outer automorphisms :: reflexible
Dual of E28.611
Graph:: bipartite
	v = 24 e = 80 f = 2
	degree seq :: [ 4^20, 20^4 ]

E28.605 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 40, 40})
Quotient :: dipole
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ R^2, (Y1^-1, Y3^-1), Y1^2 * Y3^2, (Y2, Y3^-1), (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y2)^2, Y2 * Y1 * Y2^3, Y3 * Y1^-4, Y3^5, Y2 * Y3 * Y2 * Y1^-1 * Y2^2 * Y1^-2, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 18, 58, 4, 44, 10, 50, 7, 47, 12, 52, 17, 57, 5, 45)(3, 43, 9, 49, 23, 63, 34, 74, 14, 54, 25, 65, 16, 56, 26, 66, 33, 73, 15, 55)(6, 46, 11, 51, 24, 64, 36, 76, 19, 59, 27, 67, 22, 62, 29, 69, 35, 75, 20, 60)(13, 53, 21, 61, 28, 68, 39, 79, 30, 70, 37, 77, 32, 72, 38, 78, 40, 80, 31, 71)(81, 121, 83, 123, 93, 133, 100, 140, 85, 125, 95, 135, 111, 151, 115, 155, 97, 137, 113, 153, 120, 160, 109, 149, 92, 132, 106, 146, 118, 158, 102, 142, 87, 127, 96, 136, 112, 152, 107, 147, 90, 130, 105, 145, 117, 157, 99, 139, 84, 124, 94, 134, 110, 150, 116, 156, 98, 138, 114, 154, 119, 159, 104, 144, 88, 128, 103, 143, 108, 148, 91, 131, 82, 122, 89, 129, 101, 141, 86, 126)
	L = (1, 84)(2, 90)(3, 94)(4, 97)(5, 98)(6, 99)(7, 81)(8, 87)(9, 105)(10, 85)(11, 107)(12, 82)(13, 110)(14, 113)(15, 114)(16, 83)(17, 88)(18, 92)(19, 115)(20, 116)(21, 117)(22, 86)(23, 96)(24, 102)(25, 95)(26, 89)(27, 100)(28, 112)(29, 91)(30, 120)(31, 119)(32, 93)(33, 103)(34, 106)(35, 104)(36, 109)(37, 111)(38, 101)(39, 118)(40, 108)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80 ), ( 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80 ) }
Outer automorphisms :: reflexible
Dual of E28.609
Graph:: bipartite
	v = 5 e = 80 f = 21
	degree seq :: [ 20^4, 80 ]

E28.606 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 40, 40})
Quotient :: dipole
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y1), Y3^2 * Y1^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2, Y1), (Y2, Y3^-1), Y3 * Y1^-4, Y3^5, Y2^-1 * Y3 * Y2^-3 * Y1^-1, Y3 * Y2 * Y1^-1 * Y2 * Y3 * Y2^2, Y3^-2 * Y2^-2 * Y1 * Y2^-2, Y2 * Y3 * Y1 * Y2^2 * Y3 * Y1 * Y2^2 * Y3 * Y1 * Y2^2 * Y3 * Y1 * Y2^2 * Y3 * Y1 * Y2^2 * Y3 * Y1 * Y2^2 * Y3 * Y1 * Y2^2 * Y3 * Y1 * Y2^2 * Y3 * Y1 * Y2^2 * Y3 * Y1 * Y2^2 * Y3 * Y1 * Y2^2 * Y3 * Y1 * Y2^2 * Y3 * Y1 * Y2^2 * Y3 * Y1 * Y2^2 * Y3 * Y1 * Y2^2 * Y3 * Y1 * Y2^2 * Y3 * Y1 * Y2^2 * Y3 * Y1 * Y2 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 18, 58, 4, 44, 10, 50, 7, 47, 12, 52, 17, 57, 5, 45)(3, 43, 9, 49, 23, 63, 36, 76, 14, 54, 26, 66, 16, 56, 27, 67, 35, 75, 15, 55)(6, 46, 11, 51, 24, 64, 31, 71, 19, 59, 28, 68, 22, 62, 30, 70, 37, 77, 20, 60)(13, 53, 25, 65, 39, 79, 38, 78, 32, 72, 40, 80, 34, 74, 21, 61, 29, 69, 33, 73)(81, 121, 83, 123, 93, 133, 111, 151, 98, 138, 116, 156, 118, 158, 102, 142, 87, 127, 96, 136, 114, 154, 100, 140, 85, 125, 95, 135, 113, 153, 104, 144, 88, 128, 103, 143, 119, 159, 108, 148, 90, 130, 106, 146, 120, 160, 117, 157, 97, 137, 115, 155, 109, 149, 91, 131, 82, 122, 89, 129, 105, 145, 99, 139, 84, 124, 94, 134, 112, 152, 110, 150, 92, 132, 107, 147, 101, 141, 86, 126)
	L = (1, 84)(2, 90)(3, 94)(4, 97)(5, 98)(6, 99)(7, 81)(8, 87)(9, 106)(10, 85)(11, 108)(12, 82)(13, 112)(14, 115)(15, 116)(16, 83)(17, 88)(18, 92)(19, 117)(20, 111)(21, 105)(22, 86)(23, 96)(24, 102)(25, 120)(26, 95)(27, 89)(28, 100)(29, 119)(30, 91)(31, 110)(32, 109)(33, 118)(34, 93)(35, 103)(36, 107)(37, 104)(38, 101)(39, 114)(40, 113)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80 ), ( 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80 ) }
Outer automorphisms :: reflexible
Dual of E28.610
Graph:: bipartite
	v = 5 e = 80 f = 21
	degree seq :: [ 20^4, 80 ]

E28.607 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 40, 40})
Quotient :: dipole
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y1^-1), Y3^2 * Y1^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2^-1, Y1), (Y3, Y2), Y3^5, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1, Y2^3 * Y3 * Y2 * Y1^-1, Y2^2 * Y1 * Y2^2 * Y1^2, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 18, 58, 4, 44, 10, 50, 7, 47, 12, 52, 17, 57, 5, 45)(3, 43, 9, 49, 23, 63, 34, 74, 14, 54, 26, 66, 16, 56, 27, 67, 33, 73, 15, 55)(6, 46, 11, 51, 24, 64, 36, 76, 19, 59, 28, 68, 22, 62, 30, 70, 35, 75, 20, 60)(13, 53, 25, 65, 38, 78, 21, 61, 29, 69, 39, 79, 32, 72, 37, 77, 40, 80, 31, 71)(81, 121, 83, 123, 93, 133, 110, 150, 92, 132, 107, 147, 117, 157, 99, 139, 84, 124, 94, 134, 109, 149, 91, 131, 82, 122, 89, 129, 105, 145, 115, 155, 97, 137, 113, 153, 120, 160, 108, 148, 90, 130, 106, 146, 119, 159, 104, 144, 88, 128, 103, 143, 118, 158, 100, 140, 85, 125, 95, 135, 111, 151, 102, 142, 87, 127, 96, 136, 112, 152, 116, 156, 98, 138, 114, 154, 101, 141, 86, 126)
	L = (1, 84)(2, 90)(3, 94)(4, 97)(5, 98)(6, 99)(7, 81)(8, 87)(9, 106)(10, 85)(11, 108)(12, 82)(13, 109)(14, 113)(15, 114)(16, 83)(17, 88)(18, 92)(19, 115)(20, 116)(21, 117)(22, 86)(23, 96)(24, 102)(25, 119)(26, 95)(27, 89)(28, 100)(29, 120)(30, 91)(31, 101)(32, 93)(33, 103)(34, 107)(35, 104)(36, 110)(37, 105)(38, 112)(39, 111)(40, 118)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80 ), ( 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80 ) }
Outer automorphisms :: reflexible
Dual of E28.608
Graph:: bipartite
	v = 5 e = 80 f = 21
	degree seq :: [ 20^4, 80 ]

E28.608 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 40, 40})
Quotient :: dipole
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y1, Y3), Y2 * Y1^-1 * Y2 * Y1, (R * Y1)^2, Y3 * Y2 * Y3^-1 * Y2, (R * Y2)^2, (R * Y3)^2, Y3^5, Y3^-1 * Y2 * Y1^-4, Y1 * Y3^-1 * Y1 * Y3^-2 * Y1^2 * Y3^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 7, 47, 19, 59, 13, 53, 24, 64, 34, 74, 32, 72, 18, 58, 26, 66, 36, 76, 39, 79, 27, 67, 37, 77, 31, 71, 15, 55, 4, 44, 9, 49, 21, 61, 12, 52, 3, 43, 8, 48, 20, 60, 17, 57, 6, 46, 10, 50, 22, 62, 33, 73, 29, 69, 38, 78, 40, 80, 30, 70, 14, 54, 25, 65, 35, 75, 28, 68, 11, 51, 23, 63, 16, 56, 5, 45)(81, 121, 83, 123)(82, 122, 88, 128)(84, 124, 91, 131)(85, 125, 92, 132)(86, 126, 93, 133)(87, 127, 100, 140)(89, 129, 103, 143)(90, 130, 104, 144)(94, 134, 107, 147)(95, 135, 108, 148)(96, 136, 101, 141)(97, 137, 99, 139)(98, 138, 109, 149)(102, 142, 114, 154)(105, 145, 117, 157)(106, 146, 118, 158)(110, 150, 119, 159)(111, 151, 115, 155)(112, 152, 113, 153)(116, 156, 120, 160)
	L = (1, 84)(2, 89)(3, 91)(4, 94)(5, 95)(6, 81)(7, 101)(8, 103)(9, 105)(10, 82)(11, 107)(12, 108)(13, 83)(14, 98)(15, 110)(16, 111)(17, 85)(18, 86)(19, 92)(20, 96)(21, 115)(22, 87)(23, 117)(24, 88)(25, 106)(26, 90)(27, 109)(28, 119)(29, 93)(30, 112)(31, 120)(32, 97)(33, 99)(34, 100)(35, 116)(36, 102)(37, 118)(38, 104)(39, 113)(40, 114)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 20, 80, 20, 80 ), ( 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80 ) }
Outer automorphisms :: reflexible
Dual of E28.607
Graph:: bipartite
	v = 21 e = 80 f = 5
	degree seq :: [ 4^20, 80 ]

E28.609 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 40, 40})
Quotient :: dipole
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3, Y1), Y2 * Y1 * Y2 * Y1^-1, (R * Y3)^2, (R * Y2)^2, Y3^-1 * Y2 * Y3 * Y2, (R * Y1)^2, Y3^5, Y1^-2 * Y2 * Y3^2 * Y1^-2, Y1^-1 * Y3^-1 * Y1^-2 * Y3^-2 * Y2 * Y1^-1, (Y3^-2 * Y2)^10 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 7, 47, 19, 59, 27, 67, 40, 80, 35, 75, 17, 57, 6, 46, 10, 50, 22, 62, 28, 68, 11, 51, 23, 63, 38, 78, 36, 76, 18, 58, 26, 66, 29, 69, 12, 52, 3, 43, 8, 48, 20, 60, 32, 72, 14, 54, 25, 65, 39, 79, 30, 70, 13, 53, 24, 64, 33, 73, 15, 55, 4, 44, 9, 49, 21, 61, 37, 77, 31, 71, 34, 74, 16, 56, 5, 45)(81, 121, 83, 123)(82, 122, 88, 128)(84, 124, 91, 131)(85, 125, 92, 132)(86, 126, 93, 133)(87, 127, 100, 140)(89, 129, 103, 143)(90, 130, 104, 144)(94, 134, 107, 147)(95, 135, 108, 148)(96, 136, 109, 149)(97, 137, 110, 150)(98, 138, 111, 151)(99, 139, 112, 152)(101, 141, 118, 158)(102, 142, 113, 153)(105, 145, 120, 160)(106, 146, 114, 154)(115, 155, 119, 159)(116, 156, 117, 157)
	L = (1, 84)(2, 89)(3, 91)(4, 94)(5, 95)(6, 81)(7, 101)(8, 103)(9, 105)(10, 82)(11, 107)(12, 108)(13, 83)(14, 98)(15, 112)(16, 113)(17, 85)(18, 86)(19, 117)(20, 118)(21, 119)(22, 87)(23, 120)(24, 88)(25, 106)(26, 90)(27, 111)(28, 99)(29, 102)(30, 92)(31, 93)(32, 116)(33, 100)(34, 104)(35, 96)(36, 97)(37, 110)(38, 115)(39, 109)(40, 114)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 20, 80, 20, 80 ), ( 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80 ) }
Outer automorphisms :: reflexible
Dual of E28.605
Graph:: bipartite
	v = 21 e = 80 f = 5
	degree seq :: [ 4^20, 80 ]

E28.610 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 40, 40})
Quotient :: dipole
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1 * Y2 * Y1^-1 * Y2, (Y3^-1, Y1^-1), (R * Y3)^2, Y3 * Y2 * Y3^-1 * Y2, (R * Y2)^2, (R * Y1)^2, Y3^5, Y1 * Y2 * Y3 * Y1^-1 * Y2 * Y3^-1, Y1^-2 * Y2 * Y3^-2 * Y1^-2, Y3 * Y2 * Y1^-2 * Y3^2 * Y1^-2, (Y3^2 * Y2)^10 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 7, 47, 19, 59, 31, 71, 40, 80, 33, 73, 15, 55, 4, 44, 9, 49, 21, 61, 30, 70, 13, 53, 24, 64, 38, 78, 32, 72, 14, 54, 25, 65, 29, 69, 12, 52, 3, 43, 8, 48, 20, 60, 36, 76, 18, 58, 26, 66, 39, 79, 28, 68, 11, 51, 23, 63, 35, 75, 17, 57, 6, 46, 10, 50, 22, 62, 37, 77, 27, 67, 34, 74, 16, 56, 5, 45)(81, 121, 83, 123)(82, 122, 88, 128)(84, 124, 91, 131)(85, 125, 92, 132)(86, 126, 93, 133)(87, 127, 100, 140)(89, 129, 103, 143)(90, 130, 104, 144)(94, 134, 107, 147)(95, 135, 108, 148)(96, 136, 109, 149)(97, 137, 110, 150)(98, 138, 111, 151)(99, 139, 116, 156)(101, 141, 115, 155)(102, 142, 118, 158)(105, 145, 114, 154)(106, 146, 120, 160)(112, 152, 117, 157)(113, 153, 119, 159)
	L = (1, 84)(2, 89)(3, 91)(4, 94)(5, 95)(6, 81)(7, 101)(8, 103)(9, 105)(10, 82)(11, 107)(12, 108)(13, 83)(14, 98)(15, 112)(16, 113)(17, 85)(18, 86)(19, 110)(20, 115)(21, 109)(22, 87)(23, 114)(24, 88)(25, 106)(26, 90)(27, 111)(28, 117)(29, 119)(30, 92)(31, 93)(32, 116)(33, 118)(34, 120)(35, 96)(36, 97)(37, 99)(38, 100)(39, 102)(40, 104)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 20, 80, 20, 80 ), ( 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80 ) }
Outer automorphisms :: reflexible
Dual of E28.606
Graph:: bipartite
	v = 21 e = 80 f = 5
	degree seq :: [ 4^20, 80 ]

E28.611 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 40, 40})
Quotient :: dipole
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ R^2, Y1^-3 * Y3, (Y3, Y2^-1), (Y2^-1, Y1^-1), (R * Y2)^2, (Y3 * Y2^-1)^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y1^-1 * Y2 * Y3^-1 * Y1^-2, Y3 * Y2^-1 * Y1 * Y3 * Y2^-1 * Y1^-1, Y2^-1 * Y1^-1 * Y2^-2 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1, Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-4, Y1 * Y3^13, (Y3^-1 * Y1^-1)^10, Y3^-1 * Y1 * Y3^-1 * Y2^35 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 4, 44, 10, 50, 22, 62, 13, 53, 24, 64, 35, 75, 30, 70, 38, 78, 33, 73, 39, 79, 32, 72, 20, 60, 28, 68, 17, 57, 6, 46, 11, 51, 23, 63, 16, 56, 26, 66, 15, 55, 3, 43, 9, 49, 21, 61, 14, 54, 25, 65, 36, 76, 29, 69, 37, 77, 34, 74, 40, 80, 31, 71, 19, 59, 27, 67, 18, 58, 7, 47, 12, 52, 5, 45)(81, 121, 83, 123, 93, 133, 109, 149, 119, 159, 107, 147, 91, 131, 82, 122, 89, 129, 104, 144, 117, 157, 112, 152, 98, 138, 103, 143, 88, 128, 101, 141, 115, 155, 114, 154, 100, 140, 87, 127, 96, 136, 84, 124, 94, 134, 110, 150, 120, 160, 108, 148, 92, 132, 106, 146, 90, 130, 105, 145, 118, 158, 111, 151, 97, 137, 85, 125, 95, 135, 102, 142, 116, 156, 113, 153, 99, 139, 86, 126)
	L = (1, 84)(2, 90)(3, 94)(4, 93)(5, 88)(6, 96)(7, 81)(8, 102)(9, 105)(10, 104)(11, 106)(12, 82)(13, 110)(14, 109)(15, 101)(16, 83)(17, 103)(18, 85)(19, 87)(20, 86)(21, 116)(22, 115)(23, 95)(24, 118)(25, 117)(26, 89)(27, 92)(28, 91)(29, 120)(30, 119)(31, 98)(32, 97)(33, 100)(34, 99)(35, 113)(36, 114)(37, 111)(38, 112)(39, 108)(40, 107)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E28.604
Graph:: bipartite
	v = 2 e = 80 f = 24
	degree seq :: [ 80^2 ]

E28.612 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 7, 14})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-2, Y1^3, (R * Y3)^2, (Y3, Y2^-1), (R * Y1)^2, (R * Y2)^2, (Y3, Y1^-1), Y3^5 * Y2^-1 * Y3^2, (Y2^-1 * Y3)^7 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 5, 47)(3, 45, 8, 50, 6, 48)(4, 46, 9, 51, 14, 56)(7, 49, 10, 52, 16, 58)(11, 53, 19, 61, 15, 57)(12, 54, 20, 62, 17, 59)(13, 55, 21, 63, 26, 68)(18, 60, 22, 64, 28, 70)(23, 65, 31, 73, 27, 69)(24, 66, 32, 74, 29, 71)(25, 67, 33, 75, 37, 79)(30, 72, 34, 76, 39, 81)(35, 77, 41, 83, 38, 80)(36, 78, 42, 84, 40, 82)(85, 127, 87, 129, 86, 128, 92, 134, 89, 131, 90, 132)(88, 130, 95, 137, 93, 135, 103, 145, 98, 140, 99, 141)(91, 133, 96, 138, 94, 136, 104, 146, 100, 142, 101, 143)(97, 139, 107, 149, 105, 147, 115, 157, 110, 152, 111, 153)(102, 144, 108, 150, 106, 148, 116, 158, 112, 154, 113, 155)(109, 151, 119, 161, 117, 159, 125, 167, 121, 163, 122, 164)(114, 156, 120, 162, 118, 160, 126, 168, 123, 165, 124, 166)
	L = (1, 88)(2, 93)(3, 95)(4, 97)(5, 98)(6, 99)(7, 85)(8, 103)(9, 105)(10, 86)(11, 107)(12, 87)(13, 109)(14, 110)(15, 111)(16, 89)(17, 90)(18, 91)(19, 115)(20, 92)(21, 117)(22, 94)(23, 119)(24, 96)(25, 120)(26, 121)(27, 122)(28, 100)(29, 101)(30, 102)(31, 125)(32, 104)(33, 126)(34, 106)(35, 118)(36, 108)(37, 124)(38, 114)(39, 112)(40, 113)(41, 123)(42, 116)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 14, 28, 14, 28, 14, 28 ), ( 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28 ) }
Outer automorphisms :: reflexible
Dual of E28.615
Graph:: bipartite
	v = 21 e = 84 f = 9
	degree seq :: [ 6^14, 12^7 ]

E28.613 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 7, 14})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y3 * Y1^3, Y3 * Y1 * Y3 * Y1^-1, (R * Y2)^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y1)^2, (R * Y3)^2, (Y1, Y2^-1), Y2^7 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 7, 49, 4, 46, 9, 51, 5, 47)(3, 45, 8, 50, 17, 59, 12, 54, 20, 62, 13, 55)(6, 48, 10, 52, 18, 60, 14, 56, 21, 63, 15, 57)(11, 53, 19, 61, 29, 71, 24, 66, 32, 74, 25, 67)(16, 58, 22, 64, 30, 72, 26, 68, 33, 75, 27, 69)(23, 65, 31, 73, 39, 81, 35, 77, 41, 83, 36, 78)(28, 70, 34, 76, 40, 82, 37, 79, 42, 84, 38, 80)(85, 127, 87, 129, 95, 137, 107, 149, 112, 154, 100, 142, 90, 132)(86, 128, 92, 134, 103, 145, 115, 157, 118, 160, 106, 148, 94, 136)(88, 130, 96, 138, 108, 150, 119, 161, 121, 163, 110, 152, 98, 140)(89, 131, 97, 139, 109, 151, 120, 162, 122, 164, 111, 153, 99, 141)(91, 133, 101, 143, 113, 155, 123, 165, 124, 166, 114, 156, 102, 144)(93, 135, 104, 146, 116, 158, 125, 167, 126, 168, 117, 159, 105, 147)
	L = (1, 88)(2, 93)(3, 96)(4, 85)(5, 91)(6, 98)(7, 89)(8, 104)(9, 86)(10, 105)(11, 108)(12, 87)(13, 101)(14, 90)(15, 102)(16, 110)(17, 97)(18, 99)(19, 116)(20, 92)(21, 94)(22, 117)(23, 119)(24, 95)(25, 113)(26, 100)(27, 114)(28, 121)(29, 109)(30, 111)(31, 125)(32, 103)(33, 106)(34, 126)(35, 107)(36, 123)(37, 112)(38, 124)(39, 120)(40, 122)(41, 115)(42, 118)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 6, 28, 6, 28, 6, 28, 6, 28, 6, 28, 6, 28 ), ( 6, 28, 6, 28, 6, 28, 6, 28, 6, 28, 6, 28, 6, 28 ) }
Outer automorphisms :: reflexible
Dual of E28.614
Graph:: bipartite
	v = 13 e = 84 f = 17
	degree seq :: [ 12^7, 14^6 ]

E28.614 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 7, 14})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, (R * Y2)^2, (R * Y3)^2, (Y2^-1, Y1^-1), Y1^-1 * Y3 * Y1 * Y3, Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, Y1^-7 * Y3, Y3 * Y2 * Y1^-3 * Y2^-1 * Y3 * Y1^3 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 7, 49, 17, 59, 29, 71, 25, 67, 13, 55, 4, 46, 9, 51, 19, 61, 31, 73, 27, 69, 15, 57, 5, 47)(3, 45, 8, 50, 18, 60, 30, 72, 39, 81, 35, 77, 23, 65, 11, 53, 21, 63, 33, 75, 41, 83, 36, 78, 24, 66, 12, 54)(6, 48, 10, 52, 20, 62, 32, 74, 40, 82, 37, 79, 26, 68, 14, 56, 22, 64, 34, 76, 42, 84, 38, 80, 28, 70, 16, 58)(85, 127, 87, 129, 90, 132)(86, 128, 92, 134, 94, 136)(88, 130, 95, 137, 98, 140)(89, 131, 96, 138, 100, 142)(91, 133, 102, 144, 104, 146)(93, 135, 105, 147, 106, 148)(97, 139, 107, 149, 110, 152)(99, 141, 108, 150, 112, 154)(101, 143, 114, 156, 116, 158)(103, 145, 117, 159, 118, 160)(109, 151, 119, 161, 121, 163)(111, 153, 120, 162, 122, 164)(113, 155, 123, 165, 124, 166)(115, 157, 125, 167, 126, 168)
	L = (1, 88)(2, 93)(3, 95)(4, 85)(5, 97)(6, 98)(7, 103)(8, 105)(9, 86)(10, 106)(11, 87)(12, 107)(13, 89)(14, 90)(15, 109)(16, 110)(17, 115)(18, 117)(19, 91)(20, 118)(21, 92)(22, 94)(23, 96)(24, 119)(25, 99)(26, 100)(27, 113)(28, 121)(29, 111)(30, 125)(31, 101)(32, 126)(33, 102)(34, 104)(35, 108)(36, 123)(37, 112)(38, 124)(39, 120)(40, 122)(41, 114)(42, 116)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 12, 14, 12, 14, 12, 14 ), ( 12, 14, 12, 14, 12, 14, 12, 14, 12, 14, 12, 14, 12, 14, 12, 14, 12, 14, 12, 14, 12, 14, 12, 14, 12, 14, 12, 14 ) }
Outer automorphisms :: reflexible
Dual of E28.613
Graph:: bipartite
	v = 17 e = 84 f = 13
	degree seq :: [ 6^14, 28^3 ]

E28.615 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 7, 14})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, (Y2, Y3^-1), (Y2 * Y1)^2, Y1^-1 * Y2^-2 * Y1^-1, (R * Y2)^2, (R * Y1)^2, (Y2, Y3^-1), (Y2^-1, Y1), (Y1^-1, Y3), (R * Y3)^2, Y2^-1 * Y1 * Y3^-1 * Y2 * Y1^-1 * Y3, (Y2^-1 * Y3)^3, Y3^-1 * Y2 * Y1^-1 * Y3^-2 * Y1^-1, Y1 * Y2^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1, Y2^-2 * Y1 * Y2^-4, Y2^-2 * Y1^5, Y2^-1 * Y3^-1 * Y1^3 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 8, 50, 23, 65, 35, 77, 13, 55, 5, 47)(3, 45, 9, 51, 6, 48, 11, 53, 25, 67, 33, 75, 15, 57)(4, 46, 10, 52, 24, 66, 41, 83, 40, 82, 34, 76, 18, 60)(7, 49, 12, 54, 26, 68, 37, 79, 42, 84, 36, 78, 20, 62)(14, 56, 27, 69, 19, 61, 30, 72, 22, 64, 32, 74, 38, 80)(16, 58, 28, 70, 21, 63, 31, 73, 39, 81, 17, 59, 29, 71)(85, 127, 87, 129, 97, 139, 117, 159, 107, 149, 95, 137, 86, 128, 93, 135, 89, 131, 99, 141, 119, 161, 109, 151, 92, 134, 90, 132)(88, 130, 98, 140, 118, 160, 116, 158, 125, 167, 114, 156, 94, 136, 111, 153, 102, 144, 122, 164, 124, 166, 106, 148, 108, 150, 103, 145)(91, 133, 100, 142, 120, 162, 101, 143, 121, 163, 115, 157, 96, 138, 112, 154, 104, 146, 113, 155, 126, 168, 123, 165, 110, 152, 105, 147)
	L = (1, 88)(2, 94)(3, 98)(4, 101)(5, 102)(6, 103)(7, 85)(8, 108)(9, 111)(10, 113)(11, 114)(12, 86)(13, 118)(14, 121)(15, 122)(16, 87)(17, 117)(18, 123)(19, 120)(20, 89)(21, 90)(22, 91)(23, 125)(24, 100)(25, 106)(26, 92)(27, 126)(28, 93)(29, 99)(30, 104)(31, 95)(32, 96)(33, 116)(34, 115)(35, 124)(36, 97)(37, 107)(38, 110)(39, 109)(40, 105)(41, 112)(42, 119)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.612
Graph:: bipartite
	v = 9 e = 84 f = 21
	degree seq :: [ 14^6, 28^3 ]

E28.616 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 7, 14})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y2^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (Y1^-1, Y3^-1), (R * Y2)^2, (Y2^-1, Y3), Y2 * Y1 * Y3^-2 * Y2, Y1 * Y2^2 * Y3^-2, Y2 * Y3^6, Y2^7, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1, Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 5, 47)(3, 45, 8, 50, 14, 56)(4, 46, 9, 51, 17, 59)(6, 48, 10, 52, 19, 61)(7, 49, 11, 53, 20, 62)(12, 54, 16, 58, 25, 67)(13, 55, 24, 66, 32, 74)(15, 57, 18, 60, 26, 68)(21, 63, 27, 69, 23, 65)(22, 64, 28, 70, 34, 76)(29, 71, 31, 73, 39, 81)(30, 72, 33, 75, 40, 82)(35, 77, 41, 83, 37, 79)(36, 78, 42, 84, 38, 80)(85, 127, 87, 129, 96, 138, 113, 155, 119, 161, 105, 147, 90, 132)(86, 128, 92, 134, 100, 142, 115, 157, 125, 167, 111, 153, 94, 136)(88, 130, 97, 139, 114, 156, 126, 168, 112, 154, 95, 137, 102, 144)(89, 131, 98, 140, 109, 151, 123, 165, 121, 163, 107, 149, 103, 145)(91, 133, 99, 141, 101, 143, 116, 158, 124, 166, 120, 162, 106, 148)(93, 135, 108, 150, 117, 159, 122, 164, 118, 160, 104, 146, 110, 152)
	L = (1, 88)(2, 93)(3, 97)(4, 100)(5, 101)(6, 102)(7, 85)(8, 108)(9, 109)(10, 110)(11, 86)(12, 114)(13, 115)(14, 116)(15, 87)(16, 117)(17, 96)(18, 92)(19, 99)(20, 89)(21, 95)(22, 90)(23, 91)(24, 123)(25, 124)(26, 98)(27, 104)(28, 94)(29, 126)(30, 125)(31, 122)(32, 113)(33, 121)(34, 103)(35, 112)(36, 105)(37, 106)(38, 107)(39, 120)(40, 119)(41, 118)(42, 111)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 12, 28, 12, 28, 12, 28 ), ( 12, 28, 12, 28, 12, 28, 12, 28, 12, 28, 12, 28, 12, 28 ) }
Outer automorphisms :: reflexible
Dual of E28.617
Graph:: simple bipartite
	v = 20 e = 84 f = 10
	degree seq :: [ 6^14, 14^6 ]

E28.617 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 7, 14})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y3 * Y1^3, Y3 * Y1 * Y3 * Y1^-1, (R * Y2)^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y1)^2, (R * Y3)^2, (Y1, Y2^-1), Y2^-3 * Y3 * Y2^-4 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 7, 49, 4, 46, 9, 51, 5, 47)(3, 45, 8, 50, 17, 59, 12, 54, 20, 62, 13, 55)(6, 48, 10, 52, 18, 60, 14, 56, 21, 63, 15, 57)(11, 53, 19, 61, 29, 71, 24, 66, 32, 74, 25, 67)(16, 58, 22, 64, 30, 72, 26, 68, 33, 75, 27, 69)(23, 65, 31, 73, 39, 81, 36, 78, 42, 84, 37, 79)(28, 70, 34, 76, 40, 82, 35, 77, 41, 83, 38, 80)(85, 127, 87, 129, 95, 137, 107, 149, 119, 161, 110, 152, 98, 140, 88, 130, 96, 138, 108, 150, 120, 162, 112, 154, 100, 142, 90, 132)(86, 128, 92, 134, 103, 145, 115, 157, 125, 167, 117, 159, 105, 147, 93, 135, 104, 146, 116, 158, 126, 168, 118, 160, 106, 148, 94, 136)(89, 131, 97, 139, 109, 151, 121, 163, 124, 166, 114, 156, 102, 144, 91, 133, 101, 143, 113, 155, 123, 165, 122, 164, 111, 153, 99, 141)
	L = (1, 88)(2, 93)(3, 96)(4, 85)(5, 91)(6, 98)(7, 89)(8, 104)(9, 86)(10, 105)(11, 108)(12, 87)(13, 101)(14, 90)(15, 102)(16, 110)(17, 97)(18, 99)(19, 116)(20, 92)(21, 94)(22, 117)(23, 120)(24, 95)(25, 113)(26, 100)(27, 114)(28, 119)(29, 109)(30, 111)(31, 126)(32, 103)(33, 106)(34, 125)(35, 112)(36, 107)(37, 123)(38, 124)(39, 121)(40, 122)(41, 118)(42, 115)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14 ), ( 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14 ) }
Outer automorphisms :: reflexible
Dual of E28.616
Graph:: bipartite
	v = 10 e = 84 f = 20
	degree seq :: [ 12^7, 28^3 ]

E28.618 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 14, 14, 14})
Quotient :: edge^2
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1, (R * Y3)^2, R * Y2 * R * Y1, Y1^-3 * Y3^-2 * Y1^-1, Y3 * Y1 * Y2 * Y3 * Y1^2, Y2^-1 * Y3^-1 * Y2 * Y1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y2^-1, Y1^2 * Y3^-6, Y2^14 ]
Map:: non-degenerate
	R = (1, 43, 3, 45, 10, 52, 28, 70, 36, 78, 20, 62, 6, 48, 19, 61, 13, 55, 30, 72, 41, 83, 33, 75, 17, 59, 5, 47)(2, 44, 7, 49, 22, 64, 38, 80, 42, 84, 34, 76, 18, 60, 14, 56, 4, 46, 12, 54, 29, 71, 40, 82, 26, 68, 8, 50)(9, 51, 24, 66, 37, 79, 21, 63, 35, 77, 32, 74, 16, 58, 31, 73, 11, 53, 25, 67, 39, 81, 23, 65, 15, 57, 27, 69)(85, 86, 90, 102, 101, 110, 120, 126, 125, 113, 94, 106, 97, 88)(87, 93, 103, 100, 89, 99, 104, 119, 117, 123, 112, 121, 114, 95)(91, 105, 98, 109, 92, 108, 118, 115, 124, 111, 122, 116, 96, 107)(127, 128, 132, 144, 143, 152, 162, 168, 167, 155, 136, 148, 139, 130)(129, 135, 145, 142, 131, 141, 146, 161, 159, 165, 154, 163, 156, 137)(133, 147, 140, 151, 134, 150, 160, 157, 166, 153, 164, 158, 138, 149)
	L = (1, 85)(2, 86)(3, 87)(4, 88)(5, 89)(6, 90)(7, 91)(8, 92)(9, 93)(10, 94)(11, 95)(12, 96)(13, 97)(14, 98)(15, 99)(16, 100)(17, 101)(18, 102)(19, 103)(20, 104)(21, 105)(22, 106)(23, 107)(24, 108)(25, 109)(26, 110)(27, 111)(28, 112)(29, 113)(30, 114)(31, 115)(32, 116)(33, 117)(34, 118)(35, 119)(36, 120)(37, 121)(38, 122)(39, 123)(40, 124)(41, 125)(42, 126)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 8^14 ), ( 8^28 ) }
Outer automorphisms :: reflexible
Dual of E28.621
Graph:: bipartite
	v = 9 e = 84 f = 21
	degree seq :: [ 14^6, 28^3 ]

E28.619 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 14, 14, 14})
Quotient :: edge^2
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-1, Y1^-5 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3, Y1^-4 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y2^14, (Y1^-1 * Y3 * Y2^-1)^14 ]
Map:: non-degenerate
	R = (1, 43, 3, 45)(2, 44, 6, 48)(4, 46, 9, 51)(5, 47, 12, 54)(7, 49, 15, 57)(8, 50, 16, 58)(10, 52, 17, 59)(11, 53, 21, 63)(13, 55, 23, 65)(14, 56, 24, 66)(18, 60, 29, 71)(19, 61, 30, 72)(20, 62, 33, 75)(22, 64, 35, 77)(25, 67, 39, 81)(26, 68, 40, 82)(27, 69, 32, 74)(28, 70, 34, 76)(31, 73, 36, 78)(37, 79, 42, 84)(38, 80, 41, 83)(85, 86, 89, 95, 104, 116, 125, 124, 126, 123, 115, 103, 94, 88)(87, 91, 96, 106, 117, 113, 122, 108, 121, 107, 120, 112, 101, 92)(90, 97, 105, 118, 111, 100, 110, 99, 109, 119, 114, 102, 93, 98)(127, 128, 131, 137, 146, 158, 167, 166, 168, 165, 157, 145, 136, 130)(129, 133, 138, 148, 159, 155, 164, 150, 163, 149, 162, 154, 143, 134)(132, 139, 147, 160, 153, 142, 152, 141, 151, 161, 156, 144, 135, 140)
	L = (1, 85)(2, 86)(3, 87)(4, 88)(5, 89)(6, 90)(7, 91)(8, 92)(9, 93)(10, 94)(11, 95)(12, 96)(13, 97)(14, 98)(15, 99)(16, 100)(17, 101)(18, 102)(19, 103)(20, 104)(21, 105)(22, 106)(23, 107)(24, 108)(25, 109)(26, 110)(27, 111)(28, 112)(29, 113)(30, 114)(31, 115)(32, 116)(33, 117)(34, 118)(35, 119)(36, 120)(37, 121)(38, 122)(39, 123)(40, 124)(41, 125)(42, 126)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 56^4 ), ( 56^14 ) }
Outer automorphisms :: reflexible
Dual of E28.620
Graph:: simple bipartite
	v = 27 e = 84 f = 3
	degree seq :: [ 4^21, 14^6 ]

E28.620 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 14, 14, 14})
Quotient :: loop^2
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1, (R * Y3)^2, R * Y2 * R * Y1, Y1^-3 * Y3^-2 * Y1^-1, Y3 * Y1 * Y2 * Y3 * Y1^2, Y2^-1 * Y3^-1 * Y2 * Y1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y2^-1, Y1^2 * Y3^-6, Y2^14 ]
Map:: non-degenerate
	R = (1, 43, 85, 127, 3, 45, 87, 129, 10, 52, 94, 136, 28, 70, 112, 154, 36, 78, 120, 162, 20, 62, 104, 146, 6, 48, 90, 132, 19, 61, 103, 145, 13, 55, 97, 139, 30, 72, 114, 156, 41, 83, 125, 167, 33, 75, 117, 159, 17, 59, 101, 143, 5, 47, 89, 131)(2, 44, 86, 128, 7, 49, 91, 133, 22, 64, 106, 148, 38, 80, 122, 164, 42, 84, 126, 168, 34, 76, 118, 160, 18, 60, 102, 144, 14, 56, 98, 140, 4, 46, 88, 130, 12, 54, 96, 138, 29, 71, 113, 155, 40, 82, 124, 166, 26, 68, 110, 152, 8, 50, 92, 134)(9, 51, 93, 135, 24, 66, 108, 150, 37, 79, 121, 163, 21, 63, 105, 147, 35, 77, 119, 161, 32, 74, 116, 158, 16, 58, 100, 142, 31, 73, 115, 157, 11, 53, 95, 137, 25, 67, 109, 151, 39, 81, 123, 165, 23, 65, 107, 149, 15, 57, 99, 141, 27, 69, 111, 153)
	L = (1, 44)(2, 48)(3, 51)(4, 43)(5, 57)(6, 60)(7, 63)(8, 66)(9, 61)(10, 64)(11, 45)(12, 65)(13, 46)(14, 67)(15, 62)(16, 47)(17, 68)(18, 59)(19, 58)(20, 77)(21, 56)(22, 55)(23, 49)(24, 76)(25, 50)(26, 78)(27, 80)(28, 79)(29, 52)(30, 53)(31, 82)(32, 54)(33, 81)(34, 73)(35, 75)(36, 84)(37, 72)(38, 74)(39, 70)(40, 69)(41, 71)(42, 83)(85, 128)(86, 132)(87, 135)(88, 127)(89, 141)(90, 144)(91, 147)(92, 150)(93, 145)(94, 148)(95, 129)(96, 149)(97, 130)(98, 151)(99, 146)(100, 131)(101, 152)(102, 143)(103, 142)(104, 161)(105, 140)(106, 139)(107, 133)(108, 160)(109, 134)(110, 162)(111, 164)(112, 163)(113, 136)(114, 137)(115, 166)(116, 138)(117, 165)(118, 157)(119, 159)(120, 168)(121, 156)(122, 158)(123, 154)(124, 153)(125, 155)(126, 167)
	local type(s) :: { ( 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14 ) }
Outer automorphisms :: reflexible
Dual of E28.619
Transitivity :: VT+
Graph::
	v = 3 e = 84 f = 27
	degree seq :: [ 56^3 ]

E28.621 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 14, 14, 14})
Quotient :: loop^2
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-1, Y1^-5 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3, Y1^-4 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y2^14, (Y1^-1 * Y3 * Y2^-1)^14 ]
Map:: non-degenerate
	R = (1, 43, 85, 127, 3, 45, 87, 129)(2, 44, 86, 128, 6, 48, 90, 132)(4, 46, 88, 130, 9, 51, 93, 135)(5, 47, 89, 131, 12, 54, 96, 138)(7, 49, 91, 133, 15, 57, 99, 141)(8, 50, 92, 134, 16, 58, 100, 142)(10, 52, 94, 136, 17, 59, 101, 143)(11, 53, 95, 137, 21, 63, 105, 147)(13, 55, 97, 139, 23, 65, 107, 149)(14, 56, 98, 140, 24, 66, 108, 150)(18, 60, 102, 144, 29, 71, 113, 155)(19, 61, 103, 145, 30, 72, 114, 156)(20, 62, 104, 146, 33, 75, 117, 159)(22, 64, 106, 148, 35, 77, 119, 161)(25, 67, 109, 151, 39, 81, 123, 165)(26, 68, 110, 152, 40, 82, 124, 166)(27, 69, 111, 153, 32, 74, 116, 158)(28, 70, 112, 154, 34, 76, 118, 160)(31, 73, 115, 157, 36, 78, 120, 162)(37, 79, 121, 163, 42, 84, 126, 168)(38, 80, 122, 164, 41, 83, 125, 167)
	L = (1, 44)(2, 47)(3, 49)(4, 43)(5, 53)(6, 55)(7, 54)(8, 45)(9, 56)(10, 46)(11, 62)(12, 64)(13, 63)(14, 48)(15, 67)(16, 68)(17, 50)(18, 51)(19, 52)(20, 74)(21, 76)(22, 75)(23, 78)(24, 79)(25, 77)(26, 57)(27, 58)(28, 59)(29, 80)(30, 60)(31, 61)(32, 83)(33, 71)(34, 69)(35, 72)(36, 70)(37, 65)(38, 66)(39, 73)(40, 84)(41, 82)(42, 81)(85, 128)(86, 131)(87, 133)(88, 127)(89, 137)(90, 139)(91, 138)(92, 129)(93, 140)(94, 130)(95, 146)(96, 148)(97, 147)(98, 132)(99, 151)(100, 152)(101, 134)(102, 135)(103, 136)(104, 158)(105, 160)(106, 159)(107, 162)(108, 163)(109, 161)(110, 141)(111, 142)(112, 143)(113, 164)(114, 144)(115, 145)(116, 167)(117, 155)(118, 153)(119, 156)(120, 154)(121, 149)(122, 150)(123, 157)(124, 168)(125, 166)(126, 165)
	local type(s) :: { ( 14, 28, 14, 28, 14, 28, 14, 28 ) }
Outer automorphisms :: reflexible
Dual of E28.618
Transitivity :: VT+
Graph::
	v = 21 e = 84 f = 9
	degree seq :: [ 8^21 ]

E28.622 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 14, 14, 14})
Quotient :: dipole
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-2 * Y2^-2, (Y3^-1, Y2^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y3^-1 * Y1 * Y3, Y1 * Y3^2 * Y1 * Y2^2, Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1, Y3^-1 * Y2^6, Y3^7, Y2 * Y1 * Y2^-2 * Y3 * Y1 * Y2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 43, 2, 44)(3, 45, 11, 53)(4, 46, 8, 50)(5, 47, 17, 59)(6, 48, 10, 52)(7, 49, 18, 60)(9, 51, 24, 66)(12, 54, 19, 61)(13, 55, 26, 68)(14, 56, 28, 70)(15, 57, 22, 64)(16, 58, 33, 75)(20, 62, 27, 69)(21, 63, 25, 67)(23, 65, 34, 76)(29, 71, 39, 81)(30, 72, 36, 78)(31, 73, 37, 79)(32, 74, 41, 83)(35, 77, 40, 82)(38, 80, 42, 84)(85, 127, 87, 129, 96, 138, 113, 155, 115, 157, 100, 142, 88, 130, 97, 139, 90, 132, 98, 140, 114, 156, 116, 158, 99, 141, 89, 131)(86, 128, 91, 133, 103, 145, 119, 161, 121, 163, 107, 149, 92, 134, 104, 146, 94, 136, 105, 147, 120, 162, 122, 164, 106, 148, 93, 135)(95, 137, 109, 151, 123, 165, 126, 168, 117, 159, 108, 150, 110, 152, 102, 144, 112, 154, 124, 166, 125, 167, 118, 160, 101, 143, 111, 153)
	L = (1, 88)(2, 92)(3, 97)(4, 99)(5, 100)(6, 85)(7, 104)(8, 106)(9, 107)(10, 86)(11, 110)(12, 90)(13, 89)(14, 87)(15, 115)(16, 116)(17, 117)(18, 111)(19, 94)(20, 93)(21, 91)(22, 121)(23, 122)(24, 118)(25, 102)(26, 101)(27, 108)(28, 95)(29, 98)(30, 96)(31, 114)(32, 113)(33, 125)(34, 126)(35, 105)(36, 103)(37, 120)(38, 119)(39, 112)(40, 109)(41, 123)(42, 124)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 28^4 ), ( 28^28 ) }
Outer automorphisms :: reflexible
Dual of E28.631
Graph:: bipartite
	v = 24 e = 84 f = 6
	degree seq :: [ 4^21, 28^3 ]

E28.623 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 14, 14, 14})
Quotient :: dipole
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^-1 * Y2, Y1 * Y3 * Y1 * Y3^-1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^7, Y3^-1 * Y2^-1 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2^-1, Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1, Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y1, (Y3^-3 * Y2^-1)^2 ]
Map:: non-degenerate
	R = (1, 43, 2, 44)(3, 45, 11, 53)(4, 46, 8, 50)(5, 47, 14, 56)(6, 48, 10, 52)(7, 49, 17, 59)(9, 51, 20, 62)(12, 54, 24, 66)(13, 55, 19, 61)(15, 57, 29, 71)(16, 58, 22, 64)(18, 60, 33, 75)(21, 63, 38, 80)(23, 65, 39, 81)(25, 67, 41, 83)(26, 68, 37, 79)(27, 69, 36, 78)(28, 70, 35, 77)(30, 72, 32, 74)(31, 73, 40, 82)(34, 76, 42, 84)(85, 127, 87, 129, 88, 130, 96, 138, 97, 139, 110, 152, 111, 153, 126, 168, 115, 157, 114, 156, 100, 142, 99, 141, 90, 132, 89, 131)(86, 128, 91, 133, 92, 134, 102, 144, 103, 145, 119, 161, 120, 162, 125, 167, 124, 166, 123, 165, 106, 148, 105, 147, 94, 136, 93, 135)(95, 137, 107, 149, 108, 150, 122, 164, 121, 163, 104, 146, 118, 160, 101, 143, 116, 158, 117, 159, 113, 155, 112, 154, 98, 140, 109, 151)
	L = (1, 88)(2, 92)(3, 96)(4, 97)(5, 87)(6, 85)(7, 102)(8, 103)(9, 91)(10, 86)(11, 108)(12, 110)(13, 111)(14, 95)(15, 89)(16, 90)(17, 117)(18, 119)(19, 120)(20, 101)(21, 93)(22, 94)(23, 122)(24, 121)(25, 107)(26, 126)(27, 115)(28, 109)(29, 98)(30, 99)(31, 100)(32, 113)(33, 112)(34, 116)(35, 125)(36, 124)(37, 118)(38, 104)(39, 105)(40, 106)(41, 123)(42, 114)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 28^4 ), ( 28^28 ) }
Outer automorphisms :: reflexible
Dual of E28.628
Graph:: bipartite
	v = 24 e = 84 f = 6
	degree seq :: [ 4^21, 28^3 ]

E28.624 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 14, 14, 14})
Quotient :: dipole
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3 * Y2, Y3 * Y1 * Y3^-1 * Y1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^7, Y3 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2 * Y1 * Y2^-1, Y3 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y3 * Y2^-1 * Y1, Y2 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1, (Y3^3 * Y2^-1)^2, (Y3 * Y2^-1)^14 ]
Map:: non-degenerate
	R = (1, 43, 2, 44)(3, 45, 11, 53)(4, 46, 8, 50)(5, 47, 15, 57)(6, 48, 10, 52)(7, 49, 17, 59)(9, 51, 21, 63)(12, 54, 25, 67)(13, 55, 19, 61)(14, 56, 29, 71)(16, 58, 22, 64)(18, 60, 34, 76)(20, 62, 38, 80)(23, 65, 37, 79)(24, 66, 41, 83)(26, 68, 39, 81)(27, 69, 36, 78)(28, 70, 32, 74)(30, 72, 35, 77)(31, 73, 40, 82)(33, 75, 42, 84)(85, 127, 87, 129, 90, 132, 96, 138, 100, 142, 110, 152, 115, 157, 126, 168, 111, 153, 112, 154, 97, 139, 98, 140, 88, 130, 89, 131)(86, 128, 91, 133, 94, 136, 102, 144, 106, 148, 119, 161, 124, 166, 125, 167, 120, 162, 121, 163, 103, 145, 104, 146, 92, 134, 93, 135)(95, 137, 107, 149, 109, 151, 122, 164, 123, 165, 105, 147, 117, 159, 101, 143, 116, 158, 118, 160, 113, 155, 114, 156, 99, 141, 108, 150)
	L = (1, 88)(2, 92)(3, 89)(4, 97)(5, 98)(6, 85)(7, 93)(8, 103)(9, 104)(10, 86)(11, 99)(12, 87)(13, 111)(14, 112)(15, 113)(16, 90)(17, 105)(18, 91)(19, 120)(20, 121)(21, 122)(22, 94)(23, 108)(24, 114)(25, 95)(26, 96)(27, 115)(28, 126)(29, 116)(30, 118)(31, 100)(32, 117)(33, 123)(34, 101)(35, 102)(36, 124)(37, 125)(38, 107)(39, 109)(40, 106)(41, 119)(42, 110)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 28^4 ), ( 28^28 ) }
Outer automorphisms :: reflexible
Dual of E28.630
Graph:: bipartite
	v = 24 e = 84 f = 6
	degree seq :: [ 4^21, 28^3 ]

E28.625 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 14, 14, 14})
Quotient :: dipole
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (Y3, Y2), (R * Y3)^2, Y3^-1 * Y1 * Y3 * Y1, (R * Y2)^2, Y3 * Y2^4, Y2^-1 * Y3^3 * Y2^-1, Y1 * Y2^2 * Y1 * Y2^-2, Y2^-1 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y1, Y3^-1 * Y2^-1 * Y3^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 43, 2, 44)(3, 45, 11, 53)(4, 46, 8, 50)(5, 47, 17, 59)(6, 48, 10, 52)(7, 49, 21, 63)(9, 51, 27, 69)(12, 54, 22, 64)(13, 55, 32, 74)(14, 56, 34, 76)(15, 57, 25, 67)(16, 58, 36, 78)(18, 60, 28, 70)(19, 61, 38, 80)(20, 62, 30, 72)(23, 65, 39, 81)(24, 66, 37, 79)(26, 68, 31, 73)(29, 71, 42, 84)(33, 75, 41, 83)(35, 77, 40, 82)(85, 127, 87, 129, 96, 138, 103, 145, 90, 132, 98, 140, 99, 141, 119, 161, 104, 146, 100, 142, 88, 130, 97, 139, 102, 144, 89, 131)(86, 128, 91, 133, 106, 148, 113, 155, 94, 136, 108, 150, 109, 151, 125, 167, 114, 156, 110, 152, 92, 134, 107, 149, 112, 154, 93, 135)(95, 137, 115, 157, 122, 164, 123, 165, 118, 160, 111, 153, 124, 166, 105, 147, 120, 162, 126, 168, 116, 158, 121, 163, 101, 143, 117, 159)
	L = (1, 88)(2, 92)(3, 97)(4, 99)(5, 100)(6, 85)(7, 107)(8, 109)(9, 110)(10, 86)(11, 116)(12, 102)(13, 119)(14, 87)(15, 96)(16, 98)(17, 120)(18, 104)(19, 89)(20, 90)(21, 123)(22, 112)(23, 125)(24, 91)(25, 106)(26, 108)(27, 115)(28, 114)(29, 93)(30, 94)(31, 121)(32, 124)(33, 126)(34, 95)(35, 103)(36, 118)(37, 105)(38, 101)(39, 117)(40, 122)(41, 113)(42, 111)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 28^4 ), ( 28^28 ) }
Outer automorphisms :: reflexible
Dual of E28.629
Graph:: bipartite
	v = 24 e = 84 f = 6
	degree seq :: [ 4^21, 28^3 ]

E28.626 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 14, 14, 14})
Quotient :: dipole
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y1 * Y3^-1 * Y1 * Y3, (R * Y1)^2, (Y3, Y2^-1), (R * Y2)^2, (R * Y3)^2, Y3 * Y2 * Y3^2 * Y2, Y2 * Y3^-1 * Y2^3, Y1 * Y2^-2 * Y1 * Y2^2, Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2, Y2^-2 * Y3^-1 * Y1 * Y3^-2 * Y1 ]
Map:: non-degenerate
	R = (1, 43, 2, 44)(3, 45, 11, 53)(4, 46, 8, 50)(5, 47, 17, 59)(6, 48, 10, 52)(7, 49, 21, 63)(9, 51, 27, 69)(12, 54, 22, 64)(13, 55, 32, 74)(14, 56, 34, 76)(15, 57, 25, 67)(16, 58, 36, 78)(18, 60, 28, 70)(19, 61, 38, 80)(20, 62, 30, 72)(23, 65, 37, 79)(24, 66, 40, 82)(26, 68, 42, 84)(29, 71, 31, 73)(33, 75, 41, 83)(35, 77, 39, 81)(85, 127, 87, 129, 96, 138, 100, 142, 88, 130, 97, 139, 104, 146, 119, 161, 99, 141, 103, 145, 90, 132, 98, 140, 102, 144, 89, 131)(86, 128, 91, 133, 106, 148, 110, 152, 92, 134, 107, 149, 114, 156, 125, 167, 109, 151, 113, 155, 94, 136, 108, 150, 112, 154, 93, 135)(95, 137, 115, 157, 120, 162, 124, 166, 116, 158, 111, 153, 123, 165, 105, 147, 122, 164, 126, 168, 118, 160, 121, 163, 101, 143, 117, 159)
	L = (1, 88)(2, 92)(3, 97)(4, 99)(5, 100)(6, 85)(7, 107)(8, 109)(9, 110)(10, 86)(11, 116)(12, 104)(13, 103)(14, 87)(15, 102)(16, 119)(17, 120)(18, 96)(19, 89)(20, 90)(21, 121)(22, 114)(23, 113)(24, 91)(25, 112)(26, 125)(27, 126)(28, 106)(29, 93)(30, 94)(31, 111)(32, 122)(33, 124)(34, 95)(35, 98)(36, 123)(37, 115)(38, 101)(39, 118)(40, 105)(41, 108)(42, 117)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 28^4 ), ( 28^28 ) }
Outer automorphisms :: reflexible
Dual of E28.627
Graph:: bipartite
	v = 24 e = 84 f = 6
	degree seq :: [ 4^21, 28^3 ]

E28.627 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 14, 14, 14})
Quotient :: dipole
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1 * Y1^-1)^2, Y2^-1 * Y3^-2 * Y2^-1, (Y2^-1 * Y3^-1)^2, Y1^-2 * Y3^-2, (R * Y3)^2, (R * Y1)^2, Y1^2 * Y2^-2, (R * Y2)^2, Y1 * Y3^3 * Y1 * Y3^-1, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y2^4 * Y3^-3, Y2^-1 * Y3^-1 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y2^2 * Y1^12, (Y3 * Y2^-1)^14 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 8, 50, 22, 64, 34, 76, 18, 60, 4, 46, 10, 52, 7, 49, 12, 54, 24, 66, 35, 77, 17, 59, 5, 47)(3, 45, 13, 55, 23, 65, 38, 80, 19, 61, 33, 75, 14, 56, 31, 73, 16, 58, 32, 74, 36, 78, 21, 63, 6, 48, 15, 57)(9, 51, 25, 67, 37, 79, 42, 84, 29, 71, 41, 83, 26, 68, 40, 82, 28, 70, 39, 81, 20, 62, 30, 72, 11, 53, 27, 69)(85, 127, 87, 129, 92, 134, 107, 149, 118, 160, 103, 145, 88, 130, 98, 140, 91, 133, 100, 142, 108, 150, 120, 162, 101, 143, 90, 132)(86, 128, 93, 135, 106, 148, 121, 163, 102, 144, 113, 155, 94, 136, 110, 152, 96, 138, 112, 154, 119, 161, 104, 146, 89, 131, 95, 137)(97, 139, 109, 151, 122, 164, 126, 168, 117, 159, 125, 167, 115, 157, 124, 166, 116, 158, 123, 165, 105, 147, 114, 156, 99, 141, 111, 153)
	L = (1, 88)(2, 94)(3, 98)(4, 101)(5, 102)(6, 103)(7, 85)(8, 91)(9, 110)(10, 89)(11, 113)(12, 86)(13, 115)(14, 90)(15, 117)(16, 87)(17, 118)(18, 119)(19, 120)(20, 121)(21, 122)(22, 96)(23, 100)(24, 92)(25, 124)(26, 95)(27, 125)(28, 93)(29, 104)(30, 126)(31, 99)(32, 97)(33, 105)(34, 108)(35, 106)(36, 107)(37, 112)(38, 116)(39, 109)(40, 111)(41, 114)(42, 123)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28 ) }
Outer automorphisms :: reflexible
Dual of E28.626
Graph:: bipartite
	v = 6 e = 84 f = 24
	degree seq :: [ 28^6 ]

E28.628 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 14, 14, 14})
Quotient :: dipole
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-2, (Y1 * Y3)^2, Y3^-1 * Y1^-2 * Y3^-1, (Y1^-1, Y3), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1, Y1^-2 * Y3^5, Y1^-3 * Y3 * Y1^-3 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 8, 50, 23, 65, 35, 77, 17, 59, 4, 46, 10, 52, 7, 49, 12, 54, 25, 67, 36, 78, 16, 58, 5, 47)(3, 45, 13, 55, 22, 64, 39, 81, 42, 84, 34, 76, 14, 56, 21, 63, 6, 48, 20, 62, 24, 66, 41, 83, 33, 75, 15, 57)(9, 51, 26, 68, 30, 72, 31, 73, 37, 79, 38, 80, 19, 61, 29, 71, 11, 53, 28, 70, 40, 82, 32, 74, 18, 60, 27, 69)(85, 127, 87, 129, 88, 130, 98, 140, 100, 142, 117, 159, 119, 161, 126, 168, 109, 151, 108, 150, 92, 134, 106, 148, 91, 133, 90, 132)(86, 128, 93, 135, 94, 136, 103, 145, 89, 131, 102, 144, 101, 143, 121, 163, 120, 162, 124, 166, 107, 149, 114, 156, 96, 138, 95, 137)(97, 139, 115, 157, 105, 147, 112, 154, 99, 141, 110, 152, 118, 160, 113, 155, 125, 167, 111, 153, 123, 165, 122, 164, 104, 146, 116, 158)
	L = (1, 88)(2, 94)(3, 98)(4, 100)(5, 101)(6, 87)(7, 85)(8, 91)(9, 103)(10, 89)(11, 93)(12, 86)(13, 105)(14, 117)(15, 118)(16, 119)(17, 120)(18, 121)(19, 102)(20, 97)(21, 99)(22, 90)(23, 96)(24, 106)(25, 92)(26, 113)(27, 122)(28, 110)(29, 111)(30, 95)(31, 112)(32, 115)(33, 126)(34, 125)(35, 109)(36, 107)(37, 124)(38, 116)(39, 104)(40, 114)(41, 123)(42, 108)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28 ) }
Outer automorphisms :: reflexible
Dual of E28.623
Graph:: bipartite
	v = 6 e = 84 f = 24
	degree seq :: [ 28^6 ]

E28.629 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 14, 14, 14})
Quotient :: dipole
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3, (Y1^-1 * Y3^-1)^2, Y1^2 * Y3^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1, Y1^2 * Y3^-3 * Y1^2, Y1 * Y2 * Y1^-2 * Y2 * Y1^-1 * Y3^-1, Y3^7, Y1^-6 * Y3 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 8, 50, 23, 65, 35, 77, 17, 59, 4, 46, 10, 52, 7, 49, 12, 54, 25, 67, 36, 78, 16, 58, 5, 47)(3, 45, 13, 55, 24, 66, 41, 83, 37, 79, 22, 64, 6, 48, 21, 63, 15, 57, 33, 75, 42, 84, 39, 81, 18, 60, 14, 56)(9, 51, 26, 68, 40, 82, 32, 74, 20, 62, 30, 72, 11, 53, 29, 71, 28, 70, 34, 76, 38, 80, 31, 73, 19, 61, 27, 69)(85, 127, 87, 129, 91, 133, 99, 141, 92, 134, 108, 150, 109, 151, 126, 168, 119, 161, 121, 163, 100, 142, 102, 144, 88, 130, 90, 132)(86, 128, 93, 135, 96, 138, 112, 154, 107, 149, 124, 166, 120, 162, 122, 164, 101, 143, 104, 146, 89, 131, 103, 145, 94, 136, 95, 137)(97, 139, 115, 157, 117, 159, 114, 156, 125, 167, 111, 153, 123, 165, 113, 155, 106, 148, 110, 152, 98, 140, 118, 160, 105, 147, 116, 158)
	L = (1, 88)(2, 94)(3, 90)(4, 100)(5, 101)(6, 102)(7, 85)(8, 91)(9, 95)(10, 89)(11, 103)(12, 86)(13, 105)(14, 106)(15, 87)(16, 119)(17, 120)(18, 121)(19, 104)(20, 122)(21, 98)(22, 123)(23, 96)(24, 99)(25, 92)(26, 113)(27, 114)(28, 93)(29, 111)(30, 115)(31, 116)(32, 118)(33, 97)(34, 110)(35, 109)(36, 107)(37, 126)(38, 124)(39, 125)(40, 112)(41, 117)(42, 108)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28 ) }
Outer automorphisms :: reflexible
Dual of E28.625
Graph:: bipartite
	v = 6 e = 84 f = 24
	degree seq :: [ 28^6 ]

E28.630 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 14, 14, 14})
Quotient :: dipole
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ R^2, (Y1, Y3), Y3^-2 * Y1^-2, (R * Y3)^2, (Y3^-1, Y2^-1), (R * Y1)^2, (R * Y2)^2, Y2 * Y3^-1 * Y1^2 * Y2, Y3 * Y2^4, Y3^-1 * Y2 * Y3^-2 * Y2, Y1 * Y3^-1 * Y2^2 * Y1, Y2^-1 * Y1 * Y3^-2 * Y1 * Y2^-1, Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 8, 50, 27, 69, 14, 56, 19, 61, 4, 46, 10, 52, 7, 49, 12, 54, 25, 67, 35, 77, 18, 60, 5, 47)(3, 45, 13, 55, 20, 62, 42, 84, 26, 68, 39, 81, 15, 57, 37, 79, 17, 59, 24, 66, 6, 48, 23, 65, 28, 70, 16, 58)(9, 51, 29, 71, 32, 74, 41, 83, 36, 78, 38, 80, 30, 72, 40, 82, 22, 64, 34, 76, 11, 53, 33, 75, 21, 63, 31, 73)(85, 127, 87, 129, 98, 140, 110, 152, 91, 133, 101, 143, 102, 144, 112, 154, 92, 134, 104, 146, 88, 130, 99, 141, 109, 151, 90, 132)(86, 128, 93, 135, 103, 145, 120, 162, 96, 138, 106, 148, 89, 131, 105, 147, 111, 153, 116, 158, 94, 136, 114, 156, 119, 161, 95, 137)(97, 139, 118, 160, 123, 165, 115, 157, 108, 150, 125, 167, 100, 142, 124, 166, 126, 168, 117, 159, 121, 163, 113, 155, 107, 149, 122, 164)
	L = (1, 88)(2, 94)(3, 99)(4, 102)(5, 103)(6, 104)(7, 85)(8, 91)(9, 114)(10, 89)(11, 116)(12, 86)(13, 121)(14, 109)(15, 112)(16, 123)(17, 87)(18, 98)(19, 119)(20, 101)(21, 120)(22, 93)(23, 126)(24, 97)(25, 92)(26, 90)(27, 96)(28, 110)(29, 124)(30, 105)(31, 122)(32, 106)(33, 125)(34, 113)(35, 111)(36, 95)(37, 100)(38, 117)(39, 107)(40, 115)(41, 118)(42, 108)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28 ) }
Outer automorphisms :: reflexible
Dual of E28.624
Graph:: bipartite
	v = 6 e = 84 f = 24
	degree seq :: [ 28^6 ]

E28.631 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 14, 14, 14})
Quotient :: dipole
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^2, (Y3^-1, Y1^-1), (R * Y2)^2, (R * Y1)^2, (Y2^-1, Y3), (R * Y3)^2, Y1^2 * Y2^-2 * Y3^-1, Y3^-1 * Y2^4, Y3^-2 * Y2^-1 * Y3^-1 * Y2^-1, Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2, Y3^14 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 8, 50, 27, 69, 25, 67, 19, 61, 4, 46, 10, 52, 7, 49, 12, 54, 14, 56, 30, 72, 18, 60, 5, 47)(3, 45, 13, 55, 28, 70, 24, 66, 6, 48, 23, 65, 15, 57, 37, 79, 17, 59, 39, 81, 20, 62, 41, 83, 26, 68, 16, 58)(9, 51, 29, 71, 22, 64, 36, 78, 11, 53, 35, 77, 31, 73, 40, 82, 33, 75, 38, 80, 34, 76, 42, 84, 21, 63, 32, 74)(85, 127, 87, 129, 98, 140, 104, 146, 88, 130, 99, 141, 92, 134, 112, 154, 102, 144, 110, 152, 91, 133, 101, 143, 109, 151, 90, 132)(86, 128, 93, 135, 114, 156, 118, 160, 94, 136, 115, 157, 111, 153, 106, 148, 89, 131, 105, 147, 96, 138, 117, 159, 103, 145, 95, 137)(97, 139, 119, 161, 125, 167, 113, 155, 121, 163, 126, 168, 108, 150, 124, 166, 100, 142, 120, 162, 123, 165, 116, 158, 107, 149, 122, 164)
	L = (1, 88)(2, 94)(3, 99)(4, 102)(5, 103)(6, 104)(7, 85)(8, 91)(9, 115)(10, 89)(11, 118)(12, 86)(13, 121)(14, 92)(15, 110)(16, 107)(17, 87)(18, 109)(19, 114)(20, 112)(21, 95)(22, 117)(23, 125)(24, 123)(25, 98)(26, 90)(27, 96)(28, 101)(29, 124)(30, 111)(31, 105)(32, 119)(33, 93)(34, 106)(35, 126)(36, 122)(37, 100)(38, 113)(39, 97)(40, 116)(41, 108)(42, 120)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28 ) }
Outer automorphisms :: reflexible
Dual of E28.622
Graph:: bipartite
	v = 6 e = 84 f = 24
	degree seq :: [ 28^6 ]

E28.632 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 21})
Quotient :: dipole
Aut^+ = C3 x D14 (small group id <42, 4>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1 * Y2, Y1^3, Y3^-1 * Y2 * Y3^-1 * Y2^-1, (R * Y3)^2, (R * Y1^-1)^2, (Y1^-1, Y3^-1), (Y2 * Y1^-1)^2, (Y3 * Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y3^7 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 5, 47)(3, 45, 6, 48, 9, 51)(4, 46, 8, 50, 14, 56)(7, 49, 10, 52, 16, 58)(11, 53, 17, 59, 21, 63)(12, 54, 15, 57, 20, 62)(13, 55, 19, 61, 26, 68)(18, 60, 22, 64, 28, 70)(23, 65, 29, 71, 33, 75)(24, 66, 27, 69, 32, 74)(25, 67, 31, 73, 37, 79)(30, 72, 34, 76, 39, 81)(35, 77, 40, 82, 42, 84)(36, 78, 38, 80, 41, 83)(85, 127, 87, 129, 89, 131, 93, 135, 86, 128, 90, 132)(88, 130, 96, 138, 98, 140, 104, 146, 92, 134, 99, 141)(91, 133, 95, 137, 100, 142, 105, 147, 94, 136, 101, 143)(97, 139, 108, 150, 110, 152, 116, 158, 103, 145, 111, 153)(102, 144, 107, 149, 112, 154, 117, 159, 106, 148, 113, 155)(109, 151, 120, 162, 121, 163, 125, 167, 115, 157, 122, 164)(114, 156, 119, 161, 123, 165, 126, 168, 118, 160, 124, 166)
	L = (1, 88)(2, 92)(3, 95)(4, 97)(5, 98)(6, 101)(7, 85)(8, 103)(9, 105)(10, 86)(11, 107)(12, 87)(13, 109)(14, 110)(15, 90)(16, 89)(17, 113)(18, 91)(19, 115)(20, 93)(21, 117)(22, 94)(23, 119)(24, 96)(25, 114)(26, 121)(27, 99)(28, 100)(29, 124)(30, 102)(31, 118)(32, 104)(33, 126)(34, 106)(35, 120)(36, 108)(37, 123)(38, 111)(39, 112)(40, 122)(41, 116)(42, 125)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 12, 42, 12, 42, 12, 42 ), ( 12, 42, 12, 42, 12, 42, 12, 42, 12, 42, 12, 42 ) }
Outer automorphisms :: reflexible
Dual of E28.637
Graph:: bipartite
	v = 21 e = 84 f = 9
	degree seq :: [ 6^14, 12^7 ]

E28.633 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 21})
Quotient :: dipole
Aut^+ = C3 x D14 (small group id <42, 4>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^2, Y1^3, (Y2 * Y1)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y2, (R * Y1)^2, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^7 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 5, 47)(3, 45, 8, 50, 6, 48)(4, 46, 9, 51, 14, 56)(7, 49, 10, 52, 16, 58)(11, 53, 19, 61, 17, 59)(12, 54, 20, 62, 15, 57)(13, 55, 21, 63, 26, 68)(18, 60, 22, 64, 28, 70)(23, 65, 31, 73, 29, 71)(24, 66, 32, 74, 27, 69)(25, 67, 33, 75, 37, 79)(30, 72, 34, 76, 39, 81)(35, 77, 41, 83, 40, 82)(36, 78, 42, 84, 38, 80)(85, 127, 87, 129, 86, 128, 92, 134, 89, 131, 90, 132)(88, 130, 96, 138, 93, 135, 104, 146, 98, 140, 99, 141)(91, 133, 95, 137, 94, 136, 103, 145, 100, 142, 101, 143)(97, 139, 108, 150, 105, 147, 116, 158, 110, 152, 111, 153)(102, 144, 107, 149, 106, 148, 115, 157, 112, 154, 113, 155)(109, 151, 120, 162, 117, 159, 126, 168, 121, 163, 122, 164)(114, 156, 119, 161, 118, 160, 125, 167, 123, 165, 124, 166)
	L = (1, 88)(2, 93)(3, 95)(4, 97)(5, 98)(6, 101)(7, 85)(8, 103)(9, 105)(10, 86)(11, 107)(12, 87)(13, 109)(14, 110)(15, 90)(16, 89)(17, 113)(18, 91)(19, 115)(20, 92)(21, 117)(22, 94)(23, 119)(24, 96)(25, 114)(26, 121)(27, 99)(28, 100)(29, 124)(30, 102)(31, 125)(32, 104)(33, 118)(34, 106)(35, 120)(36, 108)(37, 123)(38, 111)(39, 112)(40, 122)(41, 126)(42, 116)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 12, 42, 12, 42, 12, 42 ), ( 12, 42, 12, 42, 12, 42, 12, 42, 12, 42, 12, 42 ) }
Outer automorphisms :: reflexible
Dual of E28.638
Graph:: bipartite
	v = 21 e = 84 f = 9
	degree seq :: [ 6^14, 12^7 ]

E28.634 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 21})
Quotient :: dipole
Aut^+ = C3 x D14 (small group id <42, 4>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-2, Y1^3, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2)^2, (Y1 * Y2)^2, (Y1^-1, Y3), Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y3, (R * Y2 * Y3^-1)^2, Y1 * Y3^-7, (Y1^-1 * Y3^-1)^21 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 5, 47)(3, 45, 8, 50, 6, 48)(4, 46, 9, 51, 15, 57)(7, 49, 10, 52, 17, 59)(11, 53, 19, 61, 18, 60)(12, 54, 16, 58, 13, 55)(14, 56, 21, 63, 28, 70)(20, 62, 22, 64, 29, 71)(23, 65, 31, 73, 30, 72)(24, 66, 26, 68, 25, 67)(27, 69, 33, 75, 39, 81)(32, 74, 34, 76, 40, 82)(35, 77, 42, 84, 41, 83)(36, 78, 38, 80, 37, 79)(85, 127, 87, 129, 86, 128, 92, 134, 89, 131, 90, 132)(88, 130, 97, 139, 93, 135, 96, 138, 99, 141, 100, 142)(91, 133, 103, 145, 94, 136, 102, 144, 101, 143, 95, 137)(98, 140, 110, 152, 105, 147, 109, 151, 112, 154, 108, 150)(104, 146, 114, 156, 106, 148, 107, 149, 113, 155, 115, 157)(111, 153, 120, 162, 117, 159, 122, 164, 123, 165, 121, 163)(116, 158, 119, 161, 118, 160, 126, 168, 124, 166, 125, 167)
	L = (1, 88)(2, 93)(3, 95)(4, 98)(5, 99)(6, 102)(7, 85)(8, 103)(9, 105)(10, 86)(11, 107)(12, 87)(13, 90)(14, 111)(15, 112)(16, 92)(17, 89)(18, 114)(19, 115)(20, 91)(21, 117)(22, 94)(23, 119)(24, 96)(25, 97)(26, 100)(27, 118)(28, 123)(29, 101)(30, 125)(31, 126)(32, 104)(33, 124)(34, 106)(35, 122)(36, 108)(37, 109)(38, 110)(39, 116)(40, 113)(41, 120)(42, 121)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 12, 42, 12, 42, 12, 42 ), ( 12, 42, 12, 42, 12, 42, 12, 42, 12, 42, 12, 42 ) }
Outer automorphisms :: reflexible
Dual of E28.639
Graph:: bipartite
	v = 21 e = 84 f = 9
	degree seq :: [ 6^14, 12^7 ]

E28.635 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 21})
Quotient :: dipole
Aut^+ = C3 x D14 (small group id <42, 4>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-2 * Y1^-2, Y2^2 * Y3 * Y1^-1, Y1^-1 * Y3 * Y1^-2, Y2^-1 * Y3 * Y1 * Y2^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3)^2, Y2^-1 * Y1 * Y2 * Y1^-1 * Y2 * Y3 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y1^-1 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 7, 49, 4, 46, 9, 51, 5, 47)(3, 45, 11, 53, 6, 48, 12, 54, 15, 57, 13, 55)(8, 50, 16, 58, 10, 52, 17, 59, 14, 56, 18, 60)(19, 61, 25, 67, 20, 62, 26, 68, 21, 63, 27, 69)(22, 64, 28, 70, 23, 65, 29, 71, 24, 66, 30, 72)(31, 73, 37, 79, 32, 74, 38, 80, 33, 75, 39, 81)(34, 76, 40, 82, 35, 77, 41, 83, 36, 78, 42, 84)(85, 127, 87, 129, 93, 135, 99, 141, 91, 133, 90, 132)(86, 128, 92, 134, 89, 131, 98, 140, 88, 130, 94, 136)(95, 137, 103, 145, 97, 139, 105, 147, 96, 138, 104, 146)(100, 142, 106, 148, 102, 144, 108, 150, 101, 143, 107, 149)(109, 151, 115, 157, 111, 153, 117, 159, 110, 152, 116, 158)(112, 154, 118, 160, 114, 156, 120, 162, 113, 155, 119, 161)(121, 163, 126, 168, 123, 165, 125, 167, 122, 164, 124, 166)
	L = (1, 88)(2, 93)(3, 96)(4, 85)(5, 91)(6, 97)(7, 89)(8, 101)(9, 86)(10, 102)(11, 99)(12, 87)(13, 90)(14, 100)(15, 95)(16, 98)(17, 92)(18, 94)(19, 110)(20, 111)(21, 109)(22, 113)(23, 114)(24, 112)(25, 105)(26, 103)(27, 104)(28, 108)(29, 106)(30, 107)(31, 122)(32, 123)(33, 121)(34, 125)(35, 126)(36, 124)(37, 117)(38, 115)(39, 116)(40, 120)(41, 118)(42, 119)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42 ) }
Outer automorphisms :: reflexible
Dual of E28.636
Graph:: bipartite
	v = 14 e = 84 f = 16
	degree seq :: [ 12^14 ]

E28.636 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 21})
Quotient :: dipole
Aut^+ = C3 x D14 (small group id <42, 4>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, (R * Y2)^2, (R * Y1)^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y3)^2, (Y1, Y2^-1), Y1^-1 * Y2 * Y3 * Y1^-1 * Y3, (Y1 * Y2 * Y3)^2, Y1^-7 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 7, 49, 19, 61, 33, 75, 32, 74, 18, 60, 6, 48, 10, 52, 22, 64, 36, 78, 39, 81, 26, 68, 12, 54, 3, 45, 8, 50, 20, 62, 34, 76, 31, 73, 17, 59, 5, 47)(4, 46, 13, 55, 27, 69, 40, 82, 37, 79, 21, 63, 23, 65, 15, 57, 16, 58, 29, 71, 41, 83, 38, 80, 24, 66, 9, 51, 11, 53, 25, 67, 30, 72, 42, 84, 35, 77, 28, 70, 14, 56)(85, 127, 87, 129, 90, 132)(86, 128, 92, 134, 94, 136)(88, 130, 95, 137, 99, 141)(89, 131, 96, 138, 102, 144)(91, 133, 104, 146, 106, 148)(93, 135, 107, 149, 98, 140)(97, 139, 109, 151, 100, 142)(101, 143, 110, 152, 116, 158)(103, 145, 118, 160, 120, 162)(105, 147, 112, 154, 108, 150)(111, 153, 114, 156, 113, 155)(115, 157, 123, 165, 117, 159)(119, 161, 122, 164, 121, 163)(124, 166, 126, 168, 125, 167)
	L = (1, 88)(2, 93)(3, 95)(4, 85)(5, 100)(6, 99)(7, 105)(8, 107)(9, 86)(10, 98)(11, 87)(12, 97)(13, 96)(14, 94)(15, 90)(16, 89)(17, 114)(18, 109)(19, 119)(20, 112)(21, 91)(22, 108)(23, 92)(24, 106)(25, 102)(26, 113)(27, 116)(28, 104)(29, 110)(30, 101)(31, 124)(32, 111)(33, 125)(34, 122)(35, 103)(36, 121)(37, 120)(38, 118)(39, 126)(40, 115)(41, 117)(42, 123)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 12^6 ), ( 12^42 ) }
Outer automorphisms :: reflexible
Dual of E28.635
Graph:: bipartite
	v = 16 e = 84 f = 14
	degree seq :: [ 6^14, 42^2 ]

E28.637 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 21})
Quotient :: dipole
Aut^+ = C3 x D14 (small group id <42, 4>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1 * Y3 * Y1^-1, Y3 * Y2^-1 * Y1^-2, (Y2, Y3), Y3 * Y1 * Y2 * Y1, (R * Y2)^2, Y2 * Y1^2 * Y3^-1, (Y2 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y3^-1 * Y2 * Y3^-1 * Y1^-2, Y3 * Y2^6 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 8, 50, 22, 64, 16, 58, 5, 47)(3, 45, 13, 55, 4, 46, 12, 54, 23, 65, 11, 53)(6, 48, 18, 60, 24, 66, 9, 51, 7, 49, 10, 52)(14, 56, 29, 71, 15, 57, 28, 70, 17, 59, 30, 72)(19, 61, 26, 68, 21, 63, 27, 69, 20, 62, 25, 67)(31, 73, 40, 82, 32, 74, 42, 84, 33, 75, 41, 83)(34, 76, 37, 79, 36, 78, 38, 80, 35, 77, 39, 81)(85, 127, 87, 129, 98, 140, 115, 157, 119, 161, 104, 146, 91, 133, 100, 142, 107, 149, 101, 143, 117, 159, 120, 162, 105, 147, 108, 150, 92, 134, 88, 130, 99, 141, 116, 158, 118, 160, 103, 145, 90, 132)(86, 128, 93, 135, 109, 151, 121, 163, 125, 167, 113, 155, 96, 138, 89, 131, 102, 144, 111, 153, 123, 165, 126, 168, 114, 156, 97, 139, 106, 148, 94, 136, 110, 152, 122, 164, 124, 166, 112, 154, 95, 137)
	L = (1, 88)(2, 94)(3, 99)(4, 101)(5, 93)(6, 92)(7, 85)(8, 107)(9, 110)(10, 111)(11, 106)(12, 86)(13, 89)(14, 116)(15, 117)(16, 87)(17, 115)(18, 109)(19, 108)(20, 90)(21, 91)(22, 102)(23, 98)(24, 100)(25, 122)(26, 123)(27, 121)(28, 97)(29, 95)(30, 96)(31, 118)(32, 120)(33, 119)(34, 105)(35, 103)(36, 104)(37, 124)(38, 126)(39, 125)(40, 114)(41, 112)(42, 113)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.632
Graph:: bipartite
	v = 9 e = 84 f = 21
	degree seq :: [ 12^7, 42^2 ]

E28.638 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 21})
Quotient :: dipole
Aut^+ = C3 x D14 (small group id <42, 4>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^2 * Y2^-1, Y3 * Y1 * Y3 * Y1^-1, Y2 * Y1^-1 * Y3 * Y1^-1, Y1 * Y3 * Y2^-1 * Y1, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y1^-1 * Y2^-1)^2, Y1^6, Y2 * Y3 * Y1 * Y2^2 * Y1^-1, (Y2 * Y3^-1)^3, Y2^2 * Y3 * Y2^4 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 8, 50, 22, 64, 17, 59, 5, 47)(3, 45, 13, 55, 23, 65, 11, 53, 4, 46, 12, 54)(6, 48, 18, 60, 7, 49, 10, 52, 24, 66, 9, 51)(14, 56, 29, 71, 16, 58, 30, 72, 15, 57, 28, 70)(19, 61, 26, 68, 20, 62, 25, 67, 21, 63, 27, 69)(31, 73, 40, 82, 33, 75, 41, 83, 32, 74, 42, 84)(34, 76, 37, 79, 35, 77, 39, 81, 36, 78, 38, 80)(85, 127, 87, 129, 98, 140, 115, 157, 119, 161, 104, 146, 91, 133, 92, 134, 107, 149, 100, 142, 117, 159, 120, 162, 105, 147, 108, 150, 101, 143, 88, 130, 99, 141, 116, 158, 118, 160, 103, 145, 90, 132)(86, 128, 93, 135, 109, 151, 121, 163, 125, 167, 113, 155, 96, 138, 106, 148, 102, 144, 111, 153, 123, 165, 126, 168, 114, 156, 97, 139, 89, 131, 94, 136, 110, 152, 122, 164, 124, 166, 112, 154, 95, 137)
	L = (1, 88)(2, 94)(3, 99)(4, 100)(5, 102)(6, 101)(7, 85)(8, 87)(9, 110)(10, 111)(11, 89)(12, 86)(13, 106)(14, 116)(15, 117)(16, 115)(17, 107)(18, 109)(19, 108)(20, 90)(21, 91)(22, 93)(23, 98)(24, 92)(25, 122)(26, 123)(27, 121)(28, 97)(29, 95)(30, 96)(31, 118)(32, 120)(33, 119)(34, 105)(35, 103)(36, 104)(37, 124)(38, 126)(39, 125)(40, 114)(41, 112)(42, 113)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.633
Graph:: bipartite
	v = 9 e = 84 f = 21
	degree seq :: [ 12^7, 42^2 ]

E28.639 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 21})
Quotient :: dipole
Aut^+ = C3 x D14 (small group id <42, 4>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3 * Y1^-2, (R * Y3)^2, (Y3^-1, Y2^-1), (Y1^-1 * Y3)^2, Y3 * Y2^-1 * Y1^-2, (R * Y2)^2, (R * Y1)^2, Y1 * Y2^-1 * Y1^-1 * Y3^-1, Y2 * Y1 * Y3 * Y1^-1, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1, Y3 * Y2^-1 * Y1^4, Y2 * Y3 * Y2^2 * Y3 * Y2^2, Y2^-1 * Y3^-3 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-3 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 8, 50, 22, 64, 16, 58, 5, 47)(3, 45, 12, 54, 4, 46, 11, 53, 23, 65, 15, 57)(6, 48, 10, 52, 24, 66, 18, 60, 7, 49, 9, 51)(13, 55, 30, 72, 14, 56, 29, 71, 17, 59, 28, 70)(19, 61, 27, 69, 21, 63, 25, 67, 20, 62, 26, 68)(31, 73, 40, 82, 32, 74, 42, 84, 33, 75, 41, 83)(34, 76, 37, 79, 36, 78, 38, 80, 35, 77, 39, 81)(85, 127, 87, 129, 97, 139, 115, 157, 120, 162, 105, 147, 108, 150, 92, 134, 88, 130, 98, 140, 116, 158, 119, 161, 104, 146, 91, 133, 100, 142, 107, 149, 101, 143, 117, 159, 118, 160, 103, 145, 90, 132)(86, 128, 93, 135, 109, 151, 121, 163, 126, 168, 114, 156, 99, 141, 106, 148, 94, 136, 110, 152, 122, 164, 125, 167, 113, 155, 96, 138, 89, 131, 102, 144, 111, 153, 123, 165, 124, 166, 112, 154, 95, 137)
	L = (1, 88)(2, 94)(3, 98)(4, 101)(5, 93)(6, 92)(7, 85)(8, 107)(9, 110)(10, 111)(11, 106)(12, 86)(13, 116)(14, 117)(15, 89)(16, 87)(17, 115)(18, 109)(19, 108)(20, 90)(21, 91)(22, 102)(23, 97)(24, 100)(25, 122)(26, 123)(27, 121)(28, 99)(29, 95)(30, 96)(31, 119)(32, 118)(33, 120)(34, 105)(35, 103)(36, 104)(37, 125)(38, 124)(39, 126)(40, 114)(41, 112)(42, 113)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.634
Graph:: bipartite
	v = 9 e = 84 f = 21
	degree seq :: [ 12^7, 42^2 ]

E28.640 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2, Y3), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y1 * Y3^-1 * Y1, Y2^-1 * Y1 * Y2 * Y1, Y2^-3 * Y3^-3, Y2^-1 * Y3^6, Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^2 * Y3^-1, Y2^7 ]
Map:: non-degenerate
	R = (1, 43, 2, 44)(3, 45, 7, 49)(4, 46, 8, 50)(5, 47, 9, 51)(6, 48, 10, 52)(11, 53, 19, 61)(12, 54, 20, 62)(13, 55, 21, 63)(14, 56, 22, 64)(15, 57, 23, 65)(16, 58, 24, 66)(17, 59, 25, 67)(18, 60, 26, 68)(27, 69, 35, 77)(28, 70, 36, 78)(29, 71, 37, 79)(30, 72, 38, 80)(31, 73, 39, 81)(32, 74, 40, 82)(33, 75, 41, 83)(34, 76, 42, 84)(85, 127, 87, 129, 95, 137, 111, 153, 116, 158, 100, 142, 89, 131)(86, 128, 91, 133, 103, 145, 119, 161, 124, 166, 108, 150, 93, 135)(88, 130, 96, 138, 112, 154, 102, 144, 115, 157, 118, 160, 99, 141)(90, 132, 97, 139, 113, 155, 117, 159, 98, 140, 114, 156, 101, 143)(92, 134, 104, 146, 120, 162, 110, 152, 123, 165, 126, 168, 107, 149)(94, 136, 105, 147, 121, 163, 125, 167, 106, 148, 122, 164, 109, 151)
	L = (1, 88)(2, 92)(3, 96)(4, 98)(5, 99)(6, 85)(7, 104)(8, 106)(9, 107)(10, 86)(11, 112)(12, 114)(13, 87)(14, 116)(15, 117)(16, 118)(17, 89)(18, 90)(19, 120)(20, 122)(21, 91)(22, 124)(23, 125)(24, 126)(25, 93)(26, 94)(27, 102)(28, 101)(29, 95)(30, 100)(31, 97)(32, 115)(33, 111)(34, 113)(35, 110)(36, 109)(37, 103)(38, 108)(39, 105)(40, 123)(41, 119)(42, 121)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 42, 84, 42, 84 ), ( 42, 84, 42, 84, 42, 84, 42, 84, 42, 84, 42, 84, 42, 84 ) }
Outer automorphisms :: reflexible
Dual of E28.657
Graph:: simple bipartite
	v = 27 e = 84 f = 3
	degree seq :: [ 4^21, 14^6 ]

E28.641 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-1 * Y3^-3, (Y2, Y3^-1), (R * Y2)^2, (R * Y1)^2, Y3^-1 * Y1 * Y3 * Y1, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, Y2^7, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^3 ]
Map:: non-degenerate
	R = (1, 43, 2, 44)(3, 45, 7, 49)(4, 46, 8, 50)(5, 47, 9, 51)(6, 48, 10, 52)(11, 53, 17, 59)(12, 54, 18, 60)(13, 55, 19, 61)(14, 56, 20, 62)(15, 57, 21, 63)(16, 58, 22, 64)(23, 65, 29, 71)(24, 66, 30, 72)(25, 67, 31, 73)(26, 68, 32, 74)(27, 69, 33, 75)(28, 70, 34, 76)(35, 77, 39, 81)(36, 78, 40, 82)(37, 79, 41, 83)(38, 80, 42, 84)(85, 127, 87, 129, 95, 137, 107, 149, 112, 154, 100, 142, 89, 131)(86, 128, 91, 133, 101, 143, 113, 155, 118, 160, 106, 148, 93, 135)(88, 130, 96, 138, 108, 150, 119, 161, 122, 164, 111, 153, 99, 141)(90, 132, 97, 139, 109, 151, 120, 162, 121, 163, 110, 152, 98, 140)(92, 134, 102, 144, 114, 156, 123, 165, 126, 168, 117, 159, 105, 147)(94, 136, 103, 145, 115, 157, 124, 166, 125, 167, 116, 158, 104, 146)
	L = (1, 88)(2, 92)(3, 96)(4, 98)(5, 99)(6, 85)(7, 102)(8, 104)(9, 105)(10, 86)(11, 108)(12, 90)(13, 87)(14, 89)(15, 110)(16, 111)(17, 114)(18, 94)(19, 91)(20, 93)(21, 116)(22, 117)(23, 119)(24, 97)(25, 95)(26, 100)(27, 121)(28, 122)(29, 123)(30, 103)(31, 101)(32, 106)(33, 125)(34, 126)(35, 109)(36, 107)(37, 112)(38, 120)(39, 115)(40, 113)(41, 118)(42, 124)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 42, 84, 42, 84 ), ( 42, 84, 42, 84, 42, 84, 42, 84, 42, 84, 42, 84, 42, 84 ) }
Outer automorphisms :: reflexible
Dual of E28.656
Graph:: simple bipartite
	v = 27 e = 84 f = 3
	degree seq :: [ 4^21, 14^6 ]

E28.642 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-3 * Y2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^-1 * Y1 * Y3 * Y1, Y2 * Y1 * Y2^-1 * Y1, Y2^7, Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 43, 2, 44)(3, 45, 7, 49)(4, 46, 8, 50)(5, 47, 9, 51)(6, 48, 10, 52)(11, 53, 17, 59)(12, 54, 18, 60)(13, 55, 19, 61)(14, 56, 20, 62)(15, 57, 21, 63)(16, 58, 22, 64)(23, 65, 29, 71)(24, 66, 30, 72)(25, 67, 31, 73)(26, 68, 32, 74)(27, 69, 33, 75)(28, 70, 34, 76)(35, 77, 39, 81)(36, 78, 40, 82)(37, 79, 41, 83)(38, 80, 42, 84)(85, 127, 87, 129, 95, 137, 107, 149, 111, 153, 99, 141, 89, 131)(86, 128, 91, 133, 101, 143, 113, 155, 117, 159, 105, 147, 93, 135)(88, 130, 96, 138, 108, 150, 119, 161, 121, 163, 110, 152, 98, 140)(90, 132, 97, 139, 109, 151, 120, 162, 122, 164, 112, 154, 100, 142)(92, 134, 102, 144, 114, 156, 123, 165, 125, 167, 116, 158, 104, 146)(94, 136, 103, 145, 115, 157, 124, 166, 126, 168, 118, 160, 106, 148)
	L = (1, 88)(2, 92)(3, 96)(4, 97)(5, 98)(6, 85)(7, 102)(8, 103)(9, 104)(10, 86)(11, 108)(12, 109)(13, 87)(14, 90)(15, 110)(16, 89)(17, 114)(18, 115)(19, 91)(20, 94)(21, 116)(22, 93)(23, 119)(24, 120)(25, 95)(26, 100)(27, 121)(28, 99)(29, 123)(30, 124)(31, 101)(32, 106)(33, 125)(34, 105)(35, 122)(36, 107)(37, 112)(38, 111)(39, 126)(40, 113)(41, 118)(42, 117)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 42, 84, 42, 84 ), ( 42, 84, 42, 84, 42, 84, 42, 84, 42, 84, 42, 84, 42, 84 ) }
Outer automorphisms :: reflexible
Dual of E28.655
Graph:: simple bipartite
	v = 27 e = 84 f = 3
	degree seq :: [ 4^21, 14^6 ]

E28.643 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2), (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3^-1 * Y1, Y2^-1 * Y1 * Y2 * Y1, (R * Y2)^2, Y3^3 * Y2^2, Y2^7, Y2^7, Y3^-1 * Y2^2 * Y3^-1 * Y2^2 * Y3^-1 * Y2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 43, 2, 44)(3, 45, 7, 49)(4, 46, 8, 50)(5, 47, 9, 51)(6, 48, 10, 52)(11, 53, 19, 61)(12, 54, 20, 62)(13, 55, 21, 63)(14, 56, 22, 64)(15, 57, 23, 65)(16, 58, 24, 66)(17, 59, 25, 67)(18, 60, 26, 68)(27, 69, 33, 75)(28, 70, 34, 76)(29, 71, 35, 77)(30, 72, 36, 78)(31, 73, 37, 79)(32, 74, 38, 80)(39, 81, 41, 83)(40, 82, 42, 84)(85, 127, 87, 129, 95, 137, 111, 153, 116, 158, 100, 142, 89, 131)(86, 128, 91, 133, 103, 145, 117, 159, 122, 164, 108, 150, 93, 135)(88, 130, 96, 138, 102, 144, 113, 155, 124, 166, 115, 157, 99, 141)(90, 132, 97, 139, 112, 154, 123, 165, 114, 156, 98, 140, 101, 143)(92, 134, 104, 146, 110, 152, 119, 161, 126, 168, 121, 163, 107, 149)(94, 136, 105, 147, 118, 160, 125, 167, 120, 162, 106, 148, 109, 151)
	L = (1, 88)(2, 92)(3, 96)(4, 98)(5, 99)(6, 85)(7, 104)(8, 106)(9, 107)(10, 86)(11, 102)(12, 101)(13, 87)(14, 100)(15, 114)(16, 115)(17, 89)(18, 90)(19, 110)(20, 109)(21, 91)(22, 108)(23, 120)(24, 121)(25, 93)(26, 94)(27, 113)(28, 95)(29, 97)(30, 116)(31, 123)(32, 124)(33, 119)(34, 103)(35, 105)(36, 122)(37, 125)(38, 126)(39, 111)(40, 112)(41, 117)(42, 118)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 42, 84, 42, 84 ), ( 42, 84, 42, 84, 42, 84, 42, 84, 42, 84, 42, 84, 42, 84 ) }
Outer automorphisms :: reflexible
Dual of E28.658
Graph:: simple bipartite
	v = 27 e = 84 f = 3
	degree seq :: [ 4^21, 14^6 ]

E28.644 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^-1 * Y1 * Y2 * Y1, Y3 * Y1 * Y3^-1 * Y1, Y3^-3 * Y2^2, Y2^7, Y2^7, Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-1 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 43, 2, 44)(3, 45, 7, 49)(4, 46, 8, 50)(5, 47, 9, 51)(6, 48, 10, 52)(11, 53, 19, 61)(12, 54, 20, 62)(13, 55, 21, 63)(14, 56, 22, 64)(15, 57, 23, 65)(16, 58, 24, 66)(17, 59, 25, 67)(18, 60, 26, 68)(27, 69, 33, 75)(28, 70, 34, 76)(29, 71, 35, 77)(30, 72, 36, 78)(31, 73, 37, 79)(32, 74, 38, 80)(39, 81, 41, 83)(40, 82, 42, 84)(85, 127, 87, 129, 95, 137, 111, 153, 114, 156, 100, 142, 89, 131)(86, 128, 91, 133, 103, 145, 117, 159, 120, 162, 108, 150, 93, 135)(88, 130, 96, 138, 112, 154, 123, 165, 116, 158, 102, 144, 99, 141)(90, 132, 97, 139, 98, 140, 113, 155, 124, 166, 115, 157, 101, 143)(92, 134, 104, 146, 118, 160, 125, 167, 122, 164, 110, 152, 107, 149)(94, 136, 105, 147, 106, 148, 119, 161, 126, 168, 121, 163, 109, 151)
	L = (1, 88)(2, 92)(3, 96)(4, 98)(5, 99)(6, 85)(7, 104)(8, 106)(9, 107)(10, 86)(11, 112)(12, 113)(13, 87)(14, 95)(15, 97)(16, 102)(17, 89)(18, 90)(19, 118)(20, 119)(21, 91)(22, 103)(23, 105)(24, 110)(25, 93)(26, 94)(27, 123)(28, 124)(29, 111)(30, 116)(31, 100)(32, 101)(33, 125)(34, 126)(35, 117)(36, 122)(37, 108)(38, 109)(39, 115)(40, 114)(41, 121)(42, 120)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 42, 84, 42, 84 ), ( 42, 84, 42, 84, 42, 84, 42, 84, 42, 84, 42, 84, 42, 84 ) }
Outer automorphisms :: reflexible
Dual of E28.659
Graph:: simple bipartite
	v = 27 e = 84 f = 3
	degree seq :: [ 4^21, 14^6 ]

E28.645 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, (Y3, Y2^-1), (Y1, Y2^-1), (Y1 * Y3)^2, Y3^-2 * Y1^-2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y1^-3 * Y2^3, Y3^-1 * Y1^-1 * Y2 * Y1^-1 * Y3^-1 * Y2^-1, Y3^-4 * Y2^3, Y2 * Y1 * Y3^-1 * Y2^2 * Y1 * Y3^-1, Y3^-2 * Y1^5, Y2^21 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 8, 50, 23, 65, 36, 78, 17, 59, 5, 47)(3, 45, 9, 51, 24, 66, 40, 82, 21, 63, 31, 73, 15, 57)(4, 46, 10, 52, 7, 49, 12, 54, 26, 68, 35, 77, 18, 60)(6, 48, 11, 53, 25, 67, 13, 55, 27, 69, 37, 79, 20, 62)(14, 56, 28, 70, 16, 58, 29, 71, 39, 81, 42, 84, 34, 76)(19, 61, 30, 72, 22, 64, 32, 74, 41, 83, 33, 75, 38, 80)(85, 127, 87, 129, 97, 139, 107, 149, 124, 166, 104, 146, 89, 131, 99, 141, 109, 151, 92, 134, 108, 150, 121, 163, 101, 143, 115, 157, 95, 137, 86, 128, 93, 135, 111, 153, 120, 162, 105, 147, 90, 132)(88, 130, 98, 140, 116, 158, 96, 138, 113, 155, 122, 164, 102, 144, 118, 160, 106, 148, 91, 133, 100, 142, 117, 159, 119, 161, 126, 168, 114, 156, 94, 136, 112, 154, 125, 167, 110, 152, 123, 165, 103, 145)
	L = (1, 88)(2, 94)(3, 98)(4, 101)(5, 102)(6, 103)(7, 85)(8, 91)(9, 112)(10, 89)(11, 114)(12, 86)(13, 116)(14, 115)(15, 118)(16, 87)(17, 119)(18, 120)(19, 121)(20, 122)(21, 123)(22, 90)(23, 96)(24, 100)(25, 106)(26, 92)(27, 125)(28, 99)(29, 93)(30, 104)(31, 126)(32, 95)(33, 97)(34, 105)(35, 107)(36, 110)(37, 117)(38, 111)(39, 108)(40, 113)(41, 109)(42, 124)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84 ), ( 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84 ) }
Outer automorphisms :: reflexible
Dual of E28.651
Graph:: bipartite
	v = 8 e = 84 f = 22
	degree seq :: [ 14^6, 42^2 ]

E28.646 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y1^-1), (Y3 * Y1)^2, Y2^-3 * Y1^-1, (Y2, Y1^-1), (Y3^-1, Y2), Y3^2 * Y1^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y3^-1 * Y1 * Y2 * Y3 * Y1^-1, Y3^2 * Y1^-5, Y3^-2 * Y1 * Y3^-4, (Y1^-1 * Y2)^21 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 8, 50, 21, 63, 34, 76, 17, 59, 5, 47)(3, 45, 9, 51, 22, 64, 35, 77, 42, 84, 31, 73, 15, 57)(4, 46, 10, 52, 7, 49, 12, 54, 24, 66, 33, 75, 18, 60)(6, 48, 11, 53, 23, 65, 36, 78, 39, 81, 30, 72, 13, 55)(14, 56, 25, 67, 16, 58, 26, 68, 37, 79, 41, 83, 32, 74)(19, 61, 27, 69, 20, 62, 28, 70, 38, 80, 40, 82, 29, 71)(85, 127, 87, 129, 97, 139, 89, 131, 99, 141, 114, 156, 101, 143, 115, 157, 123, 165, 118, 160, 126, 168, 120, 162, 105, 147, 119, 161, 107, 149, 92, 134, 106, 148, 95, 137, 86, 128, 93, 135, 90, 132)(88, 130, 98, 140, 113, 155, 102, 144, 116, 158, 124, 166, 117, 159, 125, 167, 122, 164, 108, 150, 121, 163, 112, 154, 96, 138, 110, 152, 104, 146, 91, 133, 100, 142, 111, 153, 94, 136, 109, 151, 103, 145)
	L = (1, 88)(2, 94)(3, 98)(4, 101)(5, 102)(6, 103)(7, 85)(8, 91)(9, 109)(10, 89)(11, 111)(12, 86)(13, 113)(14, 115)(15, 116)(16, 87)(17, 117)(18, 118)(19, 114)(20, 90)(21, 96)(22, 100)(23, 104)(24, 92)(25, 99)(26, 93)(27, 97)(28, 95)(29, 123)(30, 124)(31, 125)(32, 126)(33, 105)(34, 108)(35, 110)(36, 112)(37, 106)(38, 107)(39, 122)(40, 120)(41, 119)(42, 121)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84 ), ( 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84 ) }
Outer automorphisms :: reflexible
Dual of E28.653
Graph:: bipartite
	v = 8 e = 84 f = 22
	degree seq :: [ 14^6, 42^2 ]

E28.647 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, Y2^3 * Y1^-1, (Y1^-1 * Y3^-1)^2, (R * Y2)^2, (Y2^-1, Y1^-1), (Y3, Y2), (Y1, Y3^-1), (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1^-1 * Y2^-1 * Y3^-2 * Y2^-1, Y1 * Y3^-1 * Y1 * Y3^-3 * Y1, Y1^7, Y2 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 8, 50, 21, 63, 32, 74, 16, 58, 5, 47)(3, 45, 9, 51, 22, 64, 35, 77, 40, 82, 29, 71, 14, 56)(4, 46, 10, 52, 7, 49, 12, 54, 24, 66, 31, 73, 17, 59)(6, 48, 11, 53, 23, 65, 36, 78, 42, 84, 33, 75, 19, 61)(13, 55, 25, 67, 15, 57, 26, 68, 37, 79, 39, 81, 30, 72)(18, 60, 27, 69, 20, 62, 28, 70, 38, 80, 41, 83, 34, 76)(85, 127, 87, 129, 95, 137, 86, 128, 93, 135, 107, 149, 92, 134, 106, 148, 120, 162, 105, 147, 119, 161, 126, 168, 116, 158, 124, 166, 117, 159, 100, 142, 113, 155, 103, 145, 89, 131, 98, 140, 90, 132)(88, 130, 97, 139, 111, 153, 94, 136, 109, 151, 104, 146, 91, 133, 99, 141, 112, 154, 96, 138, 110, 152, 122, 164, 108, 150, 121, 163, 125, 167, 115, 157, 123, 165, 118, 160, 101, 143, 114, 156, 102, 144)
	L = (1, 88)(2, 94)(3, 97)(4, 100)(5, 101)(6, 102)(7, 85)(8, 91)(9, 109)(10, 89)(11, 111)(12, 86)(13, 113)(14, 114)(15, 87)(16, 115)(17, 116)(18, 117)(19, 118)(20, 90)(21, 96)(22, 99)(23, 104)(24, 92)(25, 98)(26, 93)(27, 103)(28, 95)(29, 123)(30, 124)(31, 105)(32, 108)(33, 125)(34, 126)(35, 110)(36, 112)(37, 106)(38, 107)(39, 119)(40, 121)(41, 120)(42, 122)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84 ), ( 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84 ) }
Outer automorphisms :: reflexible
Dual of E28.650
Graph:: bipartite
	v = 8 e = 84 f = 22
	degree seq :: [ 14^6, 42^2 ]

E28.648 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1 * Y1^-1)^2, Y3^-2 * Y1^-2, (R * Y1)^2, (Y2^-1, Y1^-1), (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y2)^2, Y3^-2 * Y2^3, Y3^-2 * Y1 * Y3^-4, Y3^-2 * Y1^5, Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-3 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 8, 50, 23, 65, 36, 78, 17, 59, 5, 47)(3, 45, 9, 51, 21, 63, 29, 71, 40, 82, 33, 75, 15, 57)(4, 46, 10, 52, 7, 49, 12, 54, 25, 67, 35, 77, 18, 60)(6, 48, 11, 53, 24, 66, 39, 81, 32, 74, 13, 55, 20, 62)(14, 56, 26, 68, 16, 58, 27, 69, 38, 80, 42, 84, 34, 76)(19, 61, 28, 70, 22, 64, 30, 72, 41, 83, 31, 73, 37, 79)(85, 127, 87, 129, 97, 139, 101, 143, 117, 159, 123, 165, 107, 149, 113, 155, 95, 137, 86, 128, 93, 135, 104, 146, 89, 131, 99, 141, 116, 158, 120, 162, 124, 166, 108, 150, 92, 134, 105, 147, 90, 132)(88, 130, 98, 140, 115, 157, 119, 161, 126, 168, 114, 156, 96, 138, 111, 153, 112, 154, 94, 136, 110, 152, 121, 163, 102, 144, 118, 160, 125, 167, 109, 151, 122, 164, 106, 148, 91, 133, 100, 142, 103, 145)
	L = (1, 88)(2, 94)(3, 98)(4, 101)(5, 102)(6, 103)(7, 85)(8, 91)(9, 110)(10, 89)(11, 112)(12, 86)(13, 115)(14, 117)(15, 118)(16, 87)(17, 119)(18, 120)(19, 97)(20, 121)(21, 100)(22, 90)(23, 96)(24, 106)(25, 92)(26, 99)(27, 93)(28, 104)(29, 111)(30, 95)(31, 123)(32, 125)(33, 126)(34, 124)(35, 107)(36, 109)(37, 116)(38, 105)(39, 114)(40, 122)(41, 108)(42, 113)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84 ), ( 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84 ) }
Outer automorphisms :: reflexible
Dual of E28.652
Graph:: bipartite
	v = 8 e = 84 f = 22
	degree seq :: [ 14^6, 42^2 ]

E28.649 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y1^-2, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y2)^2, (Y1^-1, Y2^-1), (Y3^-1, Y2^-1), (R * Y1)^2, Y3^-2 * Y2^-3, Y1^7, Y1^-1 * Y3^6, Y1^-2 * Y2^-1 * Y1^-2 * Y2^-2 * Y1^-1, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 8, 50, 23, 65, 34, 76, 17, 59, 5, 47)(3, 45, 9, 51, 24, 66, 39, 81, 38, 80, 21, 63, 15, 57)(4, 46, 10, 52, 7, 49, 12, 54, 25, 67, 33, 75, 18, 60)(6, 48, 11, 53, 13, 55, 26, 68, 40, 82, 35, 77, 20, 62)(14, 56, 27, 69, 16, 58, 28, 70, 41, 83, 37, 79, 32, 74)(19, 61, 29, 71, 22, 64, 30, 72, 31, 73, 42, 84, 36, 78)(85, 127, 87, 129, 97, 139, 92, 134, 108, 150, 124, 166, 118, 160, 122, 164, 104, 146, 89, 131, 99, 141, 95, 137, 86, 128, 93, 135, 110, 152, 107, 149, 123, 165, 119, 161, 101, 143, 105, 147, 90, 132)(88, 130, 98, 140, 106, 148, 91, 133, 100, 142, 115, 157, 109, 151, 125, 167, 120, 162, 102, 144, 116, 158, 113, 155, 94, 136, 111, 153, 114, 156, 96, 138, 112, 154, 126, 168, 117, 159, 121, 163, 103, 145)
	L = (1, 88)(2, 94)(3, 98)(4, 101)(5, 102)(6, 103)(7, 85)(8, 91)(9, 111)(10, 89)(11, 113)(12, 86)(13, 106)(14, 105)(15, 116)(16, 87)(17, 117)(18, 118)(19, 119)(20, 120)(21, 121)(22, 90)(23, 96)(24, 100)(25, 92)(26, 114)(27, 99)(28, 93)(29, 104)(30, 95)(31, 97)(32, 122)(33, 107)(34, 109)(35, 126)(36, 124)(37, 123)(38, 125)(39, 112)(40, 115)(41, 108)(42, 110)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84 ), ( 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84 ) }
Outer automorphisms :: reflexible
Dual of E28.654
Graph:: bipartite
	v = 8 e = 84 f = 22
	degree seq :: [ 14^6, 42^2 ]

E28.650 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y1, Y3^-1), Y2 * Y1 * Y2 * Y1^-1, (R * Y1)^2, (R * Y2)^2, Y3 * Y2 * Y3^-1 * Y2, (R * Y3)^2, Y3 * Y1^-1 * Y3^2 * Y1^-2, Y3^-7 * Y2, Y1^-3 * Y2 * Y3^-1 * Y1^-3, (Y1^-1 * Y3^-1)^21 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 7, 49, 19, 61, 35, 77, 30, 72, 13, 55, 24, 66, 39, 81, 27, 69, 41, 83, 34, 76, 18, 60, 26, 68, 15, 57, 4, 46, 9, 51, 21, 63, 37, 79, 29, 71, 12, 54, 3, 45, 8, 50, 20, 62, 36, 78, 33, 75, 17, 59, 6, 48, 10, 52, 22, 64, 14, 56, 25, 67, 40, 82, 31, 73, 42, 84, 28, 70, 11, 53, 23, 65, 38, 80, 32, 74, 16, 58, 5, 47)(85, 127, 87, 129)(86, 128, 92, 134)(88, 130, 95, 137)(89, 131, 96, 138)(90, 132, 97, 139)(91, 133, 104, 146)(93, 135, 107, 149)(94, 136, 108, 150)(98, 140, 111, 153)(99, 141, 112, 154)(100, 142, 113, 155)(101, 143, 114, 156)(102, 144, 115, 157)(103, 145, 120, 162)(105, 147, 122, 164)(106, 148, 123, 165)(109, 151, 125, 167)(110, 152, 126, 168)(116, 158, 121, 163)(117, 159, 119, 161)(118, 160, 124, 166)
	L = (1, 88)(2, 93)(3, 95)(4, 98)(5, 99)(6, 85)(7, 105)(8, 107)(9, 109)(10, 86)(11, 111)(12, 112)(13, 87)(14, 103)(15, 106)(16, 110)(17, 89)(18, 90)(19, 121)(20, 122)(21, 124)(22, 91)(23, 125)(24, 92)(25, 119)(26, 94)(27, 120)(28, 123)(29, 126)(30, 96)(31, 97)(32, 102)(33, 100)(34, 101)(35, 113)(36, 116)(37, 115)(38, 118)(39, 104)(40, 114)(41, 117)(42, 108)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 14, 42, 14, 42 ), ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ) }
Outer automorphisms :: reflexible
Dual of E28.647
Graph:: bipartite
	v = 22 e = 84 f = 8
	degree seq :: [ 4^21, 84 ]

E28.651 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3 * Y1^-3, (Y1, Y3^-1), Y2 * Y3^-1 * Y2 * Y3, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2 * Y1 * Y2 * Y1^-1, Y2 * Y3^7, (Y1^-1 * Y3^-1)^21 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 7, 49, 4, 46, 9, 51, 18, 60, 14, 56, 21, 63, 30, 72, 26, 68, 33, 75, 40, 82, 37, 79, 42, 84, 36, 78, 25, 67, 32, 74, 24, 66, 13, 55, 20, 62, 12, 54, 3, 45, 8, 50, 17, 59, 11, 53, 19, 61, 29, 71, 23, 65, 31, 73, 39, 81, 35, 77, 41, 83, 38, 80, 28, 70, 34, 76, 27, 69, 16, 58, 22, 64, 15, 57, 6, 48, 10, 52, 5, 47)(85, 127, 87, 129)(86, 128, 92, 134)(88, 130, 95, 137)(89, 131, 96, 138)(90, 132, 97, 139)(91, 133, 101, 143)(93, 135, 103, 145)(94, 136, 104, 146)(98, 140, 107, 149)(99, 141, 108, 150)(100, 142, 109, 151)(102, 144, 113, 155)(105, 147, 115, 157)(106, 148, 116, 158)(110, 152, 119, 161)(111, 153, 120, 162)(112, 154, 121, 163)(114, 156, 123, 165)(117, 159, 125, 167)(118, 160, 126, 168)(122, 164, 124, 166)
	L = (1, 88)(2, 93)(3, 95)(4, 98)(5, 91)(6, 85)(7, 102)(8, 103)(9, 105)(10, 86)(11, 107)(12, 101)(13, 87)(14, 110)(15, 89)(16, 90)(17, 113)(18, 114)(19, 115)(20, 92)(21, 117)(22, 94)(23, 119)(24, 96)(25, 97)(26, 121)(27, 99)(28, 100)(29, 123)(30, 124)(31, 125)(32, 104)(33, 126)(34, 106)(35, 112)(36, 108)(37, 109)(38, 111)(39, 122)(40, 120)(41, 118)(42, 116)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 14, 42, 14, 42 ), ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ) }
Outer automorphisms :: reflexible
Dual of E28.645
Graph:: bipartite
	v = 22 e = 84 f = 8
	degree seq :: [ 4^21, 84 ]

E28.652 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^-1 * Y1^-3, (Y1, Y3), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2 * Y1 * Y2 * Y1^-1, Y3^-1 * Y2 * Y3 * Y2, Y3^7 * Y2 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 7, 49, 6, 48, 10, 52, 18, 60, 16, 58, 22, 64, 30, 72, 28, 70, 34, 76, 40, 82, 35, 77, 41, 83, 36, 78, 23, 65, 31, 73, 24, 66, 11, 53, 19, 61, 12, 54, 3, 45, 8, 50, 17, 59, 13, 55, 20, 62, 29, 71, 25, 67, 32, 74, 39, 81, 37, 79, 42, 84, 38, 80, 26, 68, 33, 75, 27, 69, 14, 56, 21, 63, 15, 57, 4, 46, 9, 51, 5, 47)(85, 127, 87, 129)(86, 128, 92, 134)(88, 130, 95, 137)(89, 131, 96, 138)(90, 132, 97, 139)(91, 133, 101, 143)(93, 135, 103, 145)(94, 136, 104, 146)(98, 140, 107, 149)(99, 141, 108, 150)(100, 142, 109, 151)(102, 144, 113, 155)(105, 147, 115, 157)(106, 148, 116, 158)(110, 152, 119, 161)(111, 153, 120, 162)(112, 154, 121, 163)(114, 156, 123, 165)(117, 159, 125, 167)(118, 160, 126, 168)(122, 164, 124, 166)
	L = (1, 88)(2, 93)(3, 95)(4, 98)(5, 99)(6, 85)(7, 89)(8, 103)(9, 105)(10, 86)(11, 107)(12, 108)(13, 87)(14, 110)(15, 111)(16, 90)(17, 96)(18, 91)(19, 115)(20, 92)(21, 117)(22, 94)(23, 119)(24, 120)(25, 97)(26, 121)(27, 122)(28, 100)(29, 101)(30, 102)(31, 125)(32, 104)(33, 126)(34, 106)(35, 112)(36, 124)(37, 109)(38, 123)(39, 113)(40, 114)(41, 118)(42, 116)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 14, 42, 14, 42 ), ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ) }
Outer automorphisms :: reflexible
Dual of E28.648
Graph:: bipartite
	v = 22 e = 84 f = 8
	degree seq :: [ 4^21, 84 ]

E28.653 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^-1 * Y2 * Y3 * Y2, Y1^-1 * Y2 * Y1 * Y2, (Y1, Y3), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y3^2 * Y1^3, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-2 * Y2, Y3^-7 * Y2, Y3^3 * Y1^-1 * Y3 * Y1^-2 * Y3 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 7, 49, 19, 61, 33, 75, 41, 83, 39, 81, 31, 73, 15, 57, 4, 46, 9, 51, 21, 63, 13, 55, 24, 66, 35, 77, 32, 74, 38, 80, 30, 72, 14, 56, 25, 67, 12, 54, 3, 45, 8, 50, 20, 62, 18, 60, 26, 68, 36, 78, 29, 71, 37, 79, 28, 70, 11, 53, 23, 65, 17, 59, 6, 48, 10, 52, 22, 64, 34, 76, 42, 84, 40, 82, 27, 69, 16, 58, 5, 47)(85, 127, 87, 129)(86, 128, 92, 134)(88, 130, 95, 137)(89, 131, 96, 138)(90, 132, 97, 139)(91, 133, 104, 146)(93, 135, 107, 149)(94, 136, 108, 150)(98, 140, 111, 153)(99, 141, 112, 154)(100, 142, 109, 151)(101, 143, 105, 147)(102, 144, 103, 145)(106, 148, 119, 161)(110, 152, 117, 159)(113, 155, 123, 165)(114, 156, 124, 166)(115, 157, 121, 163)(116, 158, 118, 160)(120, 162, 125, 167)(122, 164, 126, 168)
	L = (1, 88)(2, 93)(3, 95)(4, 98)(5, 99)(6, 85)(7, 105)(8, 107)(9, 109)(10, 86)(11, 111)(12, 112)(13, 87)(14, 113)(15, 114)(16, 115)(17, 89)(18, 90)(19, 97)(20, 101)(21, 96)(22, 91)(23, 100)(24, 92)(25, 121)(26, 94)(27, 123)(28, 124)(29, 118)(30, 120)(31, 122)(32, 102)(33, 108)(34, 103)(35, 104)(36, 106)(37, 126)(38, 110)(39, 116)(40, 125)(41, 119)(42, 117)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 14, 42, 14, 42 ), ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ) }
Outer automorphisms :: reflexible
Dual of E28.646
Graph:: bipartite
	v = 22 e = 84 f = 8
	degree seq :: [ 4^21, 84 ]

E28.654 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y2 * Y1^-1 * Y2 * Y1, (R * Y3)^2, Y3 * Y2 * Y3^-1 * Y2, (R * Y1)^2, (Y3^-1, Y1), (R * Y2)^2, Y2 * Y1^-1 * Y3^2 * Y1^-2, Y1^-1 * Y3 * Y2 * Y1^-2 * Y3, Y3^7 * Y2, Y3^-3 * Y1^-2 * Y3^-2 * Y1^-1, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-2, Y1^42 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 7, 49, 19, 61, 33, 75, 41, 83, 40, 82, 30, 72, 17, 59, 6, 48, 10, 52, 22, 64, 11, 53, 23, 65, 35, 77, 29, 71, 37, 79, 31, 73, 18, 60, 26, 68, 12, 54, 3, 45, 8, 50, 20, 62, 14, 56, 25, 67, 36, 78, 32, 74, 38, 80, 27, 69, 13, 55, 24, 66, 15, 57, 4, 46, 9, 51, 21, 63, 34, 76, 42, 84, 39, 81, 28, 70, 16, 58, 5, 47)(85, 127, 87, 129)(86, 128, 92, 134)(88, 130, 95, 137)(89, 131, 96, 138)(90, 132, 97, 139)(91, 133, 104, 146)(93, 135, 107, 149)(94, 136, 108, 150)(98, 140, 103, 145)(99, 141, 106, 148)(100, 142, 110, 152)(101, 143, 111, 153)(102, 144, 112, 154)(105, 147, 119, 161)(109, 151, 117, 159)(113, 155, 118, 160)(114, 156, 122, 164)(115, 157, 123, 165)(116, 158, 124, 166)(120, 162, 125, 167)(121, 163, 126, 168)
	L = (1, 88)(2, 93)(3, 95)(4, 98)(5, 99)(6, 85)(7, 105)(8, 107)(9, 109)(10, 86)(11, 103)(12, 106)(13, 87)(14, 113)(15, 104)(16, 108)(17, 89)(18, 90)(19, 118)(20, 119)(21, 120)(22, 91)(23, 117)(24, 92)(25, 121)(26, 94)(27, 96)(28, 97)(29, 124)(30, 100)(31, 101)(32, 102)(33, 126)(34, 116)(35, 125)(36, 115)(37, 114)(38, 110)(39, 111)(40, 112)(41, 123)(42, 122)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 14, 42, 14, 42 ), ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ) }
Outer automorphisms :: reflexible
Dual of E28.649
Graph:: bipartite
	v = 22 e = 84 f = 8
	degree seq :: [ 4^21, 84 ]

E28.655 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^2, Y1^-1 * Y3^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y1^6 * Y3 * Y1^4, (Y3^-1 * Y1^-1)^7 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 8, 50, 17, 59, 25, 67, 33, 75, 39, 81, 31, 73, 23, 65, 15, 57, 7, 49, 4, 46, 10, 52, 19, 61, 27, 69, 35, 77, 37, 79, 29, 71, 21, 63, 13, 55, 5, 47)(3, 45, 9, 51, 18, 60, 26, 68, 34, 76, 41, 83, 40, 82, 32, 74, 24, 66, 16, 58, 12, 54, 11, 53, 20, 62, 28, 70, 36, 78, 42, 84, 38, 80, 30, 72, 22, 64, 14, 56, 6, 48)(85, 127, 87, 129, 86, 128, 93, 135, 92, 134, 102, 144, 101, 143, 110, 152, 109, 151, 118, 160, 117, 159, 125, 167, 123, 165, 124, 166, 115, 157, 116, 158, 107, 149, 108, 150, 99, 141, 100, 142, 91, 133, 96, 138, 88, 130, 95, 137, 94, 136, 104, 146, 103, 145, 112, 154, 111, 153, 120, 162, 119, 161, 126, 168, 121, 163, 122, 164, 113, 155, 114, 156, 105, 147, 106, 148, 97, 139, 98, 140, 89, 131, 90, 132)
	L = (1, 88)(2, 94)(3, 95)(4, 86)(5, 91)(6, 96)(7, 85)(8, 103)(9, 104)(10, 92)(11, 93)(12, 87)(13, 99)(14, 100)(15, 89)(16, 90)(17, 111)(18, 112)(19, 101)(20, 102)(21, 107)(22, 108)(23, 97)(24, 98)(25, 119)(26, 120)(27, 109)(28, 110)(29, 115)(30, 116)(31, 105)(32, 106)(33, 121)(34, 126)(35, 117)(36, 118)(37, 123)(38, 124)(39, 113)(40, 114)(41, 122)(42, 125)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14 ), ( 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14 ) }
Outer automorphisms :: reflexible
Dual of E28.642
Graph:: bipartite
	v = 3 e = 84 f = 27
	degree seq :: [ 42^2, 84 ]

E28.656 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, (Y3 * Y2^-1)^2, (Y3, Y2^-1), (R * Y3)^2, (R * Y2)^2, Y2^2 * Y3^-2, (R * Y1)^2, (Y2^-1, Y1^-1), (Y3, Y1^-1), Y3 * Y2 * Y3 * Y2 * Y1, Y3^4 * Y1, Y1^-2 * Y3 * Y1^-3 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 8, 50, 23, 65, 17, 59, 4, 46, 10, 52, 25, 67, 38, 80, 31, 73, 13, 55, 21, 63, 29, 71, 41, 83, 36, 78, 20, 62, 7, 49, 12, 54, 27, 69, 18, 60, 5, 47)(3, 45, 9, 51, 24, 66, 37, 79, 32, 74, 14, 56, 22, 64, 30, 72, 42, 84, 35, 77, 19, 61, 6, 48, 11, 53, 26, 68, 39, 81, 34, 76, 16, 58, 28, 70, 40, 82, 33, 75, 15, 57)(85, 127, 87, 129, 97, 139, 103, 145, 89, 131, 99, 141, 115, 157, 119, 161, 102, 144, 117, 159, 122, 164, 126, 168, 111, 153, 124, 166, 109, 151, 114, 156, 96, 138, 112, 154, 94, 136, 106, 148, 91, 133, 100, 142, 88, 130, 98, 140, 104, 146, 118, 160, 101, 143, 116, 158, 120, 162, 123, 165, 107, 149, 121, 163, 125, 167, 110, 152, 92, 134, 108, 150, 113, 155, 95, 137, 86, 128, 93, 135, 105, 147, 90, 132)
	L = (1, 88)(2, 94)(3, 98)(4, 97)(5, 101)(6, 100)(7, 85)(8, 109)(9, 106)(10, 105)(11, 112)(12, 86)(13, 104)(14, 103)(15, 116)(16, 87)(17, 115)(18, 107)(19, 118)(20, 89)(21, 91)(22, 90)(23, 122)(24, 114)(25, 113)(26, 124)(27, 92)(28, 93)(29, 96)(30, 95)(31, 120)(32, 119)(33, 121)(34, 99)(35, 123)(36, 102)(37, 126)(38, 125)(39, 117)(40, 108)(41, 111)(42, 110)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14 ), ( 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14 ) }
Outer automorphisms :: reflexible
Dual of E28.641
Graph:: bipartite
	v = 3 e = 84 f = 27
	degree seq :: [ 42^2, 84 ]

E28.657 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3^2, (Y3, Y2^-1), (Y2^-1, Y1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (Y3, Y1^-1), Y3 * Y1^4, Y3 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y1 * Y3^-3 * Y2^-2, Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1 * Y3^-1, Y3^-1 * Y1 * Y2 * Y1^2 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 8, 50, 20, 62, 7, 49, 12, 54, 25, 67, 37, 79, 21, 63, 29, 71, 39, 81, 41, 83, 31, 73, 13, 55, 26, 68, 35, 77, 17, 59, 4, 46, 10, 52, 18, 60, 5, 47)(3, 45, 9, 51, 23, 65, 34, 76, 16, 58, 28, 70, 36, 78, 19, 61, 6, 48, 11, 53, 24, 66, 38, 80, 22, 64, 30, 72, 40, 82, 42, 84, 32, 74, 14, 56, 27, 69, 33, 75, 15, 57)(85, 127, 87, 129, 97, 139, 114, 156, 96, 138, 112, 154, 94, 136, 111, 153, 123, 165, 108, 150, 92, 134, 107, 149, 119, 161, 126, 168, 121, 163, 103, 145, 89, 131, 99, 141, 115, 157, 106, 148, 91, 133, 100, 142, 88, 130, 98, 140, 113, 155, 95, 137, 86, 128, 93, 135, 110, 152, 124, 166, 109, 151, 120, 162, 102, 144, 117, 159, 125, 167, 122, 164, 104, 146, 118, 160, 101, 143, 116, 158, 105, 147, 90, 132)
	L = (1, 88)(2, 94)(3, 98)(4, 97)(5, 101)(6, 100)(7, 85)(8, 102)(9, 111)(10, 110)(11, 112)(12, 86)(13, 113)(14, 114)(15, 116)(16, 87)(17, 115)(18, 119)(19, 118)(20, 89)(21, 91)(22, 90)(23, 117)(24, 120)(25, 92)(26, 123)(27, 124)(28, 93)(29, 96)(30, 95)(31, 105)(32, 106)(33, 126)(34, 99)(35, 125)(36, 107)(37, 104)(38, 103)(39, 109)(40, 108)(41, 121)(42, 122)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14 ), ( 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14 ) }
Outer automorphisms :: reflexible
Dual of E28.640
Graph:: bipartite
	v = 3 e = 84 f = 27
	degree seq :: [ 42^2, 84 ]

E28.658 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^2 * Y2^-1, (R * Y3)^2, (Y2^-1, Y1), (Y1, Y3^-1), (Y3^-1, Y2^-1), (R * Y2)^2, (R * Y1)^2, Y2 * Y3 * Y1^-3 * Y2, Y1^-2 * Y2^-4 * Y3^-1, Y2 * Y1 * Y2^2 * Y3 * Y2 * Y1, Y3^2 * Y2^2 * Y3 * Y1^2, (Y1^-1 * Y3^-1)^7 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 8, 50, 23, 65, 38, 80, 21, 63, 31, 73, 17, 59, 4, 46, 10, 52, 25, 67, 37, 79, 20, 62, 7, 49, 12, 54, 27, 69, 13, 55, 28, 70, 35, 77, 18, 60, 5, 47)(3, 45, 9, 51, 24, 66, 36, 78, 19, 61, 6, 48, 11, 53, 26, 68, 14, 56, 29, 71, 40, 82, 42, 84, 34, 76, 16, 58, 30, 72, 41, 83, 33, 75, 39, 81, 22, 64, 32, 74, 15, 57)(85, 127, 87, 129, 97, 139, 117, 159, 121, 163, 126, 168, 115, 157, 95, 137, 86, 128, 93, 135, 112, 154, 123, 165, 104, 146, 118, 160, 101, 143, 110, 152, 92, 134, 108, 150, 119, 161, 106, 148, 91, 133, 100, 142, 88, 130, 98, 140, 107, 149, 120, 162, 102, 144, 116, 158, 96, 138, 114, 156, 94, 136, 113, 155, 122, 164, 103, 145, 89, 131, 99, 141, 111, 153, 125, 167, 109, 151, 124, 166, 105, 147, 90, 132)
	L = (1, 88)(2, 94)(3, 98)(4, 97)(5, 101)(6, 100)(7, 85)(8, 109)(9, 113)(10, 112)(11, 114)(12, 86)(13, 107)(14, 117)(15, 110)(16, 87)(17, 111)(18, 115)(19, 118)(20, 89)(21, 91)(22, 90)(23, 121)(24, 124)(25, 119)(26, 125)(27, 92)(28, 122)(29, 123)(30, 93)(31, 96)(32, 95)(33, 120)(34, 99)(35, 105)(36, 126)(37, 102)(38, 104)(39, 103)(40, 106)(41, 108)(42, 116)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14 ), ( 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14 ) }
Outer automorphisms :: reflexible
Dual of E28.643
Graph:: bipartite
	v = 3 e = 84 f = 27
	degree seq :: [ 42^2, 84 ]

E28.659 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y3^-1, (Y3^-1 * Y2)^2, (Y3, Y2^-1), Y2^2 * Y3^-2, (R * Y2)^2, (R * Y1)^2, (Y1^-1, Y2^-1), (R * Y3)^2, Y3^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2^10 * Y1, Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y1^-1, Y1 * Y2^2 * Y3^8 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 4, 46, 9, 51, 11, 53, 19, 61, 22, 64, 28, 70, 29, 71, 35, 77, 38, 80, 42, 84, 39, 81, 33, 75, 32, 74, 26, 68, 23, 65, 17, 59, 16, 58, 7, 49, 5, 47)(3, 45, 8, 50, 12, 54, 20, 62, 21, 63, 27, 69, 30, 72, 36, 78, 37, 79, 41, 83, 40, 82, 34, 76, 31, 73, 25, 67, 24, 66, 18, 60, 15, 57, 6, 48, 10, 52, 14, 56, 13, 55)(85, 127, 87, 129, 95, 137, 105, 147, 113, 155, 121, 163, 123, 165, 115, 157, 107, 149, 99, 141, 89, 131, 97, 139, 93, 135, 104, 146, 112, 154, 120, 162, 126, 168, 118, 160, 110, 152, 102, 144, 91, 133, 98, 140, 88, 130, 96, 138, 106, 148, 114, 156, 122, 164, 124, 166, 116, 158, 108, 150, 100, 142, 94, 136, 86, 128, 92, 134, 103, 145, 111, 153, 119, 161, 125, 167, 117, 159, 109, 151, 101, 143, 90, 132)
	L = (1, 88)(2, 93)(3, 96)(4, 95)(5, 86)(6, 98)(7, 85)(8, 104)(9, 103)(10, 97)(11, 106)(12, 105)(13, 92)(14, 87)(15, 94)(16, 89)(17, 91)(18, 90)(19, 112)(20, 111)(21, 114)(22, 113)(23, 100)(24, 99)(25, 102)(26, 101)(27, 120)(28, 119)(29, 122)(30, 121)(31, 108)(32, 107)(33, 110)(34, 109)(35, 126)(36, 125)(37, 124)(38, 123)(39, 116)(40, 115)(41, 118)(42, 117)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14 ), ( 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14 ) }
Outer automorphisms :: reflexible
Dual of E28.644
Graph:: bipartite
	v = 3 e = 84 f = 27
	degree seq :: [ 42^2, 84 ]

E28.660 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^2 * Y3, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y1 * Y3 * Y1, Y2 * Y1 * Y2^-1 * Y1, Y2 * Y3^-10, (Y3 * Y2^-1)^7 ]
Map:: non-degenerate
	R = (1, 43, 2, 44)(3, 45, 7, 49)(4, 46, 8, 50)(5, 47, 9, 51)(6, 48, 10, 52)(11, 53, 15, 57)(12, 54, 16, 58)(13, 55, 17, 59)(14, 56, 18, 60)(19, 61, 23, 65)(20, 62, 24, 66)(21, 63, 25, 67)(22, 64, 26, 68)(27, 69, 31, 73)(28, 70, 32, 74)(29, 71, 33, 75)(30, 72, 34, 76)(35, 77, 39, 81)(36, 78, 40, 82)(37, 79, 41, 83)(38, 80, 42, 84)(85, 127, 87, 129, 90, 132, 95, 137, 98, 140, 103, 145, 106, 148, 111, 153, 114, 156, 119, 161, 122, 164, 120, 162, 121, 163, 112, 154, 113, 155, 104, 146, 105, 147, 96, 138, 97, 139, 88, 130, 89, 131)(86, 128, 91, 133, 94, 136, 99, 141, 102, 144, 107, 149, 110, 152, 115, 157, 118, 160, 123, 165, 126, 168, 124, 166, 125, 167, 116, 158, 117, 159, 108, 150, 109, 151, 100, 142, 101, 143, 92, 134, 93, 135)
	L = (1, 88)(2, 92)(3, 89)(4, 96)(5, 97)(6, 85)(7, 93)(8, 100)(9, 101)(10, 86)(11, 87)(12, 104)(13, 105)(14, 90)(15, 91)(16, 108)(17, 109)(18, 94)(19, 95)(20, 112)(21, 113)(22, 98)(23, 99)(24, 116)(25, 117)(26, 102)(27, 103)(28, 120)(29, 121)(30, 106)(31, 107)(32, 124)(33, 125)(34, 110)(35, 111)(36, 119)(37, 122)(38, 114)(39, 115)(40, 123)(41, 126)(42, 118)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 14, 84, 14, 84 ), ( 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84 ) }
Outer automorphisms :: reflexible
Dual of E28.668
Graph:: bipartite
	v = 23 e = 84 f = 7
	degree seq :: [ 4^21, 42^2 ]

E28.661 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3^-1 * Y1, Y2^-1 * Y1 * Y2 * Y1, Y3^-1 * Y2^4, Y3^-3 * Y2^-1 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 43, 2, 44)(3, 45, 7, 49)(4, 46, 8, 50)(5, 47, 9, 51)(6, 48, 10, 52)(11, 53, 19, 61)(12, 54, 20, 62)(13, 55, 21, 63)(14, 56, 22, 64)(15, 57, 23, 65)(16, 58, 24, 66)(17, 59, 25, 67)(18, 60, 26, 68)(27, 69, 33, 75)(28, 70, 34, 76)(29, 71, 35, 77)(30, 72, 36, 78)(31, 73, 37, 79)(32, 74, 38, 80)(39, 81, 41, 83)(40, 82, 42, 84)(85, 127, 87, 129, 95, 137, 99, 141, 88, 130, 96, 138, 111, 153, 115, 157, 98, 140, 112, 154, 123, 165, 124, 166, 114, 156, 102, 144, 113, 155, 116, 158, 101, 143, 90, 132, 97, 139, 100, 142, 89, 131)(86, 128, 91, 133, 103, 145, 107, 149, 92, 134, 104, 146, 117, 159, 121, 163, 106, 148, 118, 160, 125, 167, 126, 168, 120, 162, 110, 152, 119, 161, 122, 164, 109, 151, 94, 136, 105, 147, 108, 150, 93, 135)
	L = (1, 88)(2, 92)(3, 96)(4, 98)(5, 99)(6, 85)(7, 104)(8, 106)(9, 107)(10, 86)(11, 111)(12, 112)(13, 87)(14, 114)(15, 115)(16, 95)(17, 89)(18, 90)(19, 117)(20, 118)(21, 91)(22, 120)(23, 121)(24, 103)(25, 93)(26, 94)(27, 123)(28, 102)(29, 97)(30, 101)(31, 124)(32, 100)(33, 125)(34, 110)(35, 105)(36, 109)(37, 126)(38, 108)(39, 113)(40, 116)(41, 119)(42, 122)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 14, 84, 14, 84 ), ( 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84 ) }
Outer automorphisms :: reflexible
Dual of E28.665
Graph:: bipartite
	v = 23 e = 84 f = 7
	degree seq :: [ 4^21, 42^2 ]

E28.662 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3^-1 * Y1, Y2^-1 * Y1 * Y2 * Y1, Y3^-4 * Y2, Y2^-1 * Y3^-1 * Y2^-4 ]
Map:: non-degenerate
	R = (1, 43, 2, 44)(3, 45, 7, 49)(4, 46, 8, 50)(5, 47, 9, 51)(6, 48, 10, 52)(11, 53, 19, 61)(12, 54, 20, 62)(13, 55, 21, 63)(14, 56, 22, 64)(15, 57, 23, 65)(16, 58, 24, 66)(17, 59, 25, 67)(18, 60, 26, 68)(27, 69, 33, 75)(28, 70, 34, 76)(29, 71, 35, 77)(30, 72, 36, 78)(31, 73, 37, 79)(32, 74, 38, 80)(39, 81, 41, 83)(40, 82, 42, 84)(85, 127, 87, 129, 95, 137, 111, 153, 101, 143, 90, 132, 97, 139, 113, 155, 123, 165, 116, 158, 102, 144, 98, 140, 114, 156, 124, 166, 115, 157, 99, 141, 88, 130, 96, 138, 112, 154, 100, 142, 89, 131)(86, 128, 91, 133, 103, 145, 117, 159, 109, 151, 94, 136, 105, 147, 119, 161, 125, 167, 122, 164, 110, 152, 106, 148, 120, 162, 126, 168, 121, 163, 107, 149, 92, 134, 104, 146, 118, 160, 108, 150, 93, 135)
	L = (1, 88)(2, 92)(3, 96)(4, 98)(5, 99)(6, 85)(7, 104)(8, 106)(9, 107)(10, 86)(11, 112)(12, 114)(13, 87)(14, 97)(15, 102)(16, 115)(17, 89)(18, 90)(19, 118)(20, 120)(21, 91)(22, 105)(23, 110)(24, 121)(25, 93)(26, 94)(27, 100)(28, 124)(29, 95)(30, 113)(31, 116)(32, 101)(33, 108)(34, 126)(35, 103)(36, 119)(37, 122)(38, 109)(39, 111)(40, 123)(41, 117)(42, 125)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 14, 84, 14, 84 ), ( 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84 ) }
Outer automorphisms :: reflexible
Dual of E28.667
Graph:: bipartite
	v = 23 e = 84 f = 7
	degree seq :: [ 4^21, 42^2 ]

E28.663 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2, Y3), (R * Y2)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3^-1 * Y1, Y2^-3 * Y3^-3, Y2^-2 * Y3^5, Y2^4 * Y3^-1 * Y2 * Y3^-1, Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^-3 ]
Map:: non-degenerate
	R = (1, 43, 2, 44)(3, 45, 7, 49)(4, 46, 8, 50)(5, 47, 9, 51)(6, 48, 10, 52)(11, 53, 19, 61)(12, 54, 20, 62)(13, 55, 21, 63)(14, 56, 22, 64)(15, 57, 23, 65)(16, 58, 24, 66)(17, 59, 25, 67)(18, 60, 26, 68)(27, 69, 35, 77)(28, 70, 36, 78)(29, 71, 37, 79)(30, 72, 38, 80)(31, 73, 39, 81)(32, 74, 40, 82)(33, 75, 41, 83)(34, 76, 42, 84)(85, 127, 87, 129, 95, 137, 111, 153, 117, 159, 98, 140, 114, 156, 101, 143, 90, 132, 97, 139, 113, 155, 118, 160, 99, 141, 88, 130, 96, 138, 112, 154, 102, 144, 115, 157, 116, 158, 100, 142, 89, 131)(86, 128, 91, 133, 103, 145, 119, 161, 125, 167, 106, 148, 122, 164, 109, 151, 94, 136, 105, 147, 121, 163, 126, 168, 107, 149, 92, 134, 104, 146, 120, 162, 110, 152, 123, 165, 124, 166, 108, 150, 93, 135)
	L = (1, 88)(2, 92)(3, 96)(4, 98)(5, 99)(6, 85)(7, 104)(8, 106)(9, 107)(10, 86)(11, 112)(12, 114)(13, 87)(14, 116)(15, 117)(16, 118)(17, 89)(18, 90)(19, 120)(20, 122)(21, 91)(22, 124)(23, 125)(24, 126)(25, 93)(26, 94)(27, 102)(28, 101)(29, 95)(30, 100)(31, 97)(32, 113)(33, 115)(34, 111)(35, 110)(36, 109)(37, 103)(38, 108)(39, 105)(40, 121)(41, 123)(42, 119)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 14, 84, 14, 84 ), ( 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84 ) }
Outer automorphisms :: reflexible
Dual of E28.669
Graph:: bipartite
	v = 23 e = 84 f = 7
	degree seq :: [ 4^21, 42^2 ]

E28.664 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, Y3^-1 * Y1 * Y3 * Y1, Y2^10 * Y3^-1, (Y3 * Y2^-1)^7 ]
Map:: non-degenerate
	R = (1, 43, 2, 44)(3, 45, 7, 49)(4, 46, 8, 50)(5, 47, 9, 51)(6, 48, 10, 52)(11, 53, 15, 57)(12, 54, 16, 58)(13, 55, 17, 59)(14, 56, 18, 60)(19, 61, 23, 65)(20, 62, 24, 66)(21, 63, 25, 67)(22, 64, 26, 68)(27, 69, 31, 73)(28, 70, 32, 74)(29, 71, 33, 75)(30, 72, 34, 76)(35, 77, 39, 81)(36, 78, 40, 82)(37, 79, 41, 83)(38, 80, 42, 84)(85, 127, 87, 129, 95, 137, 103, 145, 111, 153, 119, 161, 121, 163, 113, 155, 105, 147, 97, 139, 88, 130, 90, 132, 96, 138, 104, 146, 112, 154, 120, 162, 122, 164, 114, 156, 106, 148, 98, 140, 89, 131)(86, 128, 91, 133, 99, 141, 107, 149, 115, 157, 123, 165, 125, 167, 117, 159, 109, 151, 101, 143, 92, 134, 94, 136, 100, 142, 108, 150, 116, 158, 124, 166, 126, 168, 118, 160, 110, 152, 102, 144, 93, 135)
	L = (1, 88)(2, 92)(3, 90)(4, 89)(5, 97)(6, 85)(7, 94)(8, 93)(9, 101)(10, 86)(11, 96)(12, 87)(13, 98)(14, 105)(15, 100)(16, 91)(17, 102)(18, 109)(19, 104)(20, 95)(21, 106)(22, 113)(23, 108)(24, 99)(25, 110)(26, 117)(27, 112)(28, 103)(29, 114)(30, 121)(31, 116)(32, 107)(33, 118)(34, 125)(35, 120)(36, 111)(37, 122)(38, 119)(39, 124)(40, 115)(41, 126)(42, 123)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 14, 84, 14, 84 ), ( 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84 ) }
Outer automorphisms :: reflexible
Dual of E28.666
Graph:: bipartite
	v = 23 e = 84 f = 7
	degree seq :: [ 4^21, 42^2 ]

E28.665 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y1^-1), (Y3 * Y1)^2, (Y2^-1, Y3^-1), (R * Y2)^2, (R * Y1)^2, (Y2^-1, Y1), (R * Y3)^2, Y3^-2 * Y1^-2, Y3 * Y2 * Y1^-1 * Y2^2 * Y1^-1, Y2 * Y3 * Y1 * Y2^-1 * Y3^-1 * Y1^-1, Y3^-2 * Y1^5, Y3^-2 * Y2 * Y1 * Y2^2 * Y3^-1, Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-2, Y2^42 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 8, 50, 23, 65, 36, 78, 17, 59, 5, 47)(3, 45, 9, 51, 24, 66, 39, 81, 42, 84, 34, 76, 15, 57)(4, 46, 10, 52, 7, 49, 12, 54, 26, 68, 35, 77, 18, 60)(6, 48, 11, 53, 25, 67, 41, 83, 33, 75, 37, 79, 20, 62)(13, 55, 27, 69, 38, 80, 19, 61, 30, 72, 22, 64, 32, 74)(14, 56, 28, 70, 16, 58, 29, 71, 40, 82, 21, 63, 31, 73)(85, 127, 87, 129, 97, 139, 110, 152, 124, 166, 104, 146, 89, 131, 99, 141, 116, 158, 96, 138, 113, 155, 121, 163, 101, 143, 118, 160, 106, 148, 91, 133, 100, 142, 117, 159, 120, 162, 126, 168, 114, 156, 94, 136, 112, 154, 125, 167, 107, 149, 123, 165, 103, 145, 88, 130, 98, 140, 109, 151, 92, 134, 108, 150, 122, 164, 102, 144, 115, 157, 95, 137, 86, 128, 93, 135, 111, 153, 119, 161, 105, 147, 90, 132)
	L = (1, 88)(2, 94)(3, 98)(4, 101)(5, 102)(6, 103)(7, 85)(8, 91)(9, 112)(10, 89)(11, 114)(12, 86)(13, 109)(14, 118)(15, 115)(16, 87)(17, 119)(18, 120)(19, 121)(20, 122)(21, 123)(22, 90)(23, 96)(24, 100)(25, 106)(26, 92)(27, 125)(28, 99)(29, 93)(30, 104)(31, 126)(32, 95)(33, 97)(34, 105)(35, 107)(36, 110)(37, 111)(38, 117)(39, 113)(40, 108)(41, 116)(42, 124)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42 ), ( 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42 ) }
Outer automorphisms :: reflexible
Dual of E28.661
Graph:: bipartite
	v = 7 e = 84 f = 23
	degree seq :: [ 14^6, 84 ]

E28.666 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y1^-1), Y2^-3 * Y3, Y3^2 * Y1^2, (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y1^-1), (R * Y2)^2, Y2^-1 * Y3^-2 * Y2 * Y1^-2, Y3^-6 * Y1, Y3^-2 * Y1 * Y2^-1 * Y1^2 * Y2^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 8, 50, 21, 63, 34, 76, 17, 59, 5, 47)(3, 45, 9, 51, 22, 64, 35, 77, 42, 84, 31, 73, 15, 57)(4, 46, 10, 52, 7, 49, 12, 54, 24, 66, 33, 75, 18, 60)(6, 48, 11, 53, 23, 65, 36, 78, 40, 82, 29, 71, 19, 61)(13, 55, 25, 67, 20, 62, 28, 70, 38, 80, 39, 81, 30, 72)(14, 56, 26, 68, 16, 58, 27, 69, 37, 79, 41, 83, 32, 74)(85, 127, 87, 129, 97, 139, 88, 130, 98, 140, 113, 155, 101, 143, 115, 157, 123, 165, 117, 159, 125, 167, 120, 162, 105, 147, 119, 161, 112, 154, 96, 138, 111, 153, 95, 137, 86, 128, 93, 135, 109, 151, 94, 136, 110, 152, 103, 145, 89, 131, 99, 141, 114, 156, 102, 144, 116, 158, 124, 166, 118, 160, 126, 168, 122, 164, 108, 150, 121, 163, 107, 149, 92, 134, 106, 148, 104, 146, 91, 133, 100, 142, 90, 132)
	L = (1, 88)(2, 94)(3, 98)(4, 101)(5, 102)(6, 97)(7, 85)(8, 91)(9, 110)(10, 89)(11, 109)(12, 86)(13, 113)(14, 115)(15, 116)(16, 87)(17, 117)(18, 118)(19, 114)(20, 90)(21, 96)(22, 100)(23, 104)(24, 92)(25, 103)(26, 99)(27, 93)(28, 95)(29, 123)(30, 124)(31, 125)(32, 126)(33, 105)(34, 108)(35, 111)(36, 112)(37, 106)(38, 107)(39, 120)(40, 122)(41, 119)(42, 121)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42 ), ( 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42 ) }
Outer automorphisms :: reflexible
Dual of E28.664
Graph:: bipartite
	v = 7 e = 84 f = 23
	degree seq :: [ 14^6, 84 ]

E28.667 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^-3, (Y3^-1 * Y1^-1)^2, (Y2^-1, Y1^-1), (R * Y3)^2, Y3^-2 * Y1^-2, (R * Y1)^2, (Y2, Y3^-1), (R * Y2)^2, Y3^-2 * Y1 * Y3^-4, Y3^-1 * Y1^2 * Y3^-1 * Y1^3, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^3 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 8, 50, 21, 63, 32, 74, 17, 59, 5, 47)(3, 45, 9, 51, 22, 64, 35, 77, 40, 82, 29, 71, 15, 57)(4, 46, 10, 52, 7, 49, 12, 54, 24, 66, 31, 73, 18, 60)(6, 48, 11, 53, 23, 65, 36, 78, 42, 84, 33, 75, 20, 62)(13, 55, 25, 67, 37, 79, 41, 83, 34, 76, 19, 61, 28, 70)(14, 56, 26, 68, 16, 58, 27, 69, 38, 80, 39, 81, 30, 72)(85, 127, 87, 129, 97, 139, 91, 133, 100, 142, 107, 149, 92, 134, 106, 148, 121, 163, 108, 150, 122, 164, 126, 168, 116, 158, 124, 166, 118, 160, 102, 144, 114, 156, 104, 146, 89, 131, 99, 141, 112, 154, 94, 136, 110, 152, 95, 137, 86, 128, 93, 135, 109, 151, 96, 138, 111, 153, 120, 162, 105, 147, 119, 161, 125, 167, 115, 157, 123, 165, 117, 159, 101, 143, 113, 155, 103, 145, 88, 130, 98, 140, 90, 132)
	L = (1, 88)(2, 94)(3, 98)(4, 101)(5, 102)(6, 103)(7, 85)(8, 91)(9, 110)(10, 89)(11, 112)(12, 86)(13, 90)(14, 113)(15, 114)(16, 87)(17, 115)(18, 116)(19, 117)(20, 118)(21, 96)(22, 100)(23, 97)(24, 92)(25, 95)(26, 99)(27, 93)(28, 104)(29, 123)(30, 124)(31, 105)(32, 108)(33, 125)(34, 126)(35, 111)(36, 109)(37, 107)(38, 106)(39, 119)(40, 122)(41, 120)(42, 121)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42 ), ( 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42 ) }
Outer automorphisms :: reflexible
Dual of E28.662
Graph:: bipartite
	v = 7 e = 84 f = 23
	degree seq :: [ 14^6, 84 ]

E28.668 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1 * Y1^-1)^2, (R * Y2)^2, Y3^-2 * Y1^-2, (Y2^-1, Y3), (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), Y1 * Y2 * Y3^-1 * Y2^2, Y2 * Y1^-1 * Y2^2 * Y1^2 * Y3^-1, Y3^-2 * Y1 * Y3^-4, Y3^-2 * Y1^5, Y2 * Y3 * Y2 * Y3^2 * Y2 * Y1^-2, Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y2^2 * Y1^-1, Y1^2 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y3^-1 * Y2^-1 * Y1, (Y3 * Y1^-1)^14 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 8, 50, 23, 65, 36, 78, 17, 59, 5, 47)(3, 45, 9, 51, 24, 66, 38, 80, 42, 84, 33, 75, 15, 57)(4, 46, 10, 52, 7, 49, 12, 54, 26, 68, 35, 77, 18, 60)(6, 48, 11, 53, 25, 67, 39, 81, 31, 73, 37, 79, 20, 62)(13, 55, 19, 61, 28, 70, 22, 64, 30, 72, 41, 83, 32, 74)(14, 56, 27, 69, 16, 58, 21, 63, 29, 71, 40, 82, 34, 76)(85, 127, 87, 129, 97, 139, 102, 144, 118, 160, 123, 165, 107, 149, 122, 164, 106, 148, 91, 133, 100, 142, 104, 146, 89, 131, 99, 141, 116, 158, 119, 161, 124, 166, 109, 151, 92, 134, 108, 150, 112, 154, 94, 136, 111, 153, 121, 163, 101, 143, 117, 159, 125, 167, 110, 152, 113, 155, 95, 137, 86, 128, 93, 135, 103, 145, 88, 130, 98, 140, 115, 157, 120, 162, 126, 168, 114, 156, 96, 138, 105, 147, 90, 132)
	L = (1, 88)(2, 94)(3, 98)(4, 101)(5, 102)(6, 103)(7, 85)(8, 91)(9, 111)(10, 89)(11, 112)(12, 86)(13, 115)(14, 117)(15, 118)(16, 87)(17, 119)(18, 120)(19, 121)(20, 97)(21, 93)(22, 90)(23, 96)(24, 100)(25, 106)(26, 92)(27, 99)(28, 104)(29, 108)(30, 95)(31, 125)(32, 123)(33, 124)(34, 126)(35, 107)(36, 110)(37, 116)(38, 105)(39, 114)(40, 122)(41, 109)(42, 113)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42 ), ( 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42 ) }
Outer automorphisms :: reflexible
Dual of E28.660
Graph:: bipartite
	v = 7 e = 84 f = 23
	degree seq :: [ 14^6, 84 ]

E28.669 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y1^-2, (Y3^-1, Y1^-1), (Y3^-1, Y2^-1), (R * Y1)^2, (R * Y2)^2, (Y1^-1, Y2^-1), (R * Y3)^2, Y3^-1 * Y1 * Y2^-3, Y1^-1 * Y2^2 * Y3 * Y2, Y2^-1 * Y3^2 * Y2 * Y1^2, Y1^-1 * Y3^6, Y1^7, (Y3^-1 * Y1)^14, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-3 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 8, 50, 23, 65, 34, 76, 17, 59, 5, 47)(3, 45, 9, 51, 24, 66, 39, 81, 37, 79, 32, 74, 15, 57)(4, 46, 10, 52, 7, 49, 12, 54, 26, 68, 33, 75, 18, 60)(6, 48, 11, 53, 25, 67, 31, 73, 42, 84, 35, 77, 20, 62)(13, 55, 27, 69, 40, 82, 36, 78, 19, 61, 30, 72, 22, 64)(14, 56, 28, 70, 16, 58, 29, 71, 41, 83, 38, 80, 21, 63)(85, 127, 87, 129, 97, 139, 96, 138, 113, 155, 126, 168, 118, 160, 121, 163, 103, 145, 88, 130, 98, 140, 95, 137, 86, 128, 93, 135, 111, 153, 110, 152, 125, 167, 119, 161, 101, 143, 116, 158, 114, 156, 94, 136, 112, 154, 109, 151, 92, 134, 108, 150, 124, 166, 117, 159, 122, 164, 104, 146, 89, 131, 99, 141, 106, 148, 91, 133, 100, 142, 115, 157, 107, 149, 123, 165, 120, 162, 102, 144, 105, 147, 90, 132)
	L = (1, 88)(2, 94)(3, 98)(4, 101)(5, 102)(6, 103)(7, 85)(8, 91)(9, 112)(10, 89)(11, 114)(12, 86)(13, 95)(14, 116)(15, 105)(16, 87)(17, 117)(18, 118)(19, 119)(20, 120)(21, 121)(22, 90)(23, 96)(24, 100)(25, 106)(26, 92)(27, 109)(28, 99)(29, 93)(30, 104)(31, 97)(32, 122)(33, 107)(34, 110)(35, 124)(36, 126)(37, 125)(38, 123)(39, 113)(40, 115)(41, 108)(42, 111)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42 ), ( 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42 ) }
Outer automorphisms :: reflexible
Dual of E28.663
Graph:: bipartite
	v = 7 e = 84 f = 23
	degree seq :: [ 14^6, 84 ]

E28.670 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 42, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^3, (R * Y1)^2, (R * Y3)^2, (Y2, Y1^-1), (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, Y2^14 * Y1, (Y3 * Y2^-1)^42 ]
Map::
	R = (1, 43, 2, 44, 4, 46)(3, 45, 6, 48, 9, 51)(5, 47, 7, 49, 10, 52)(8, 50, 12, 54, 15, 57)(11, 53, 13, 55, 16, 58)(14, 56, 18, 60, 21, 63)(17, 59, 19, 61, 22, 64)(20, 62, 24, 66, 27, 69)(23, 65, 25, 67, 28, 70)(26, 68, 30, 72, 33, 75)(29, 71, 31, 73, 34, 76)(32, 74, 36, 78, 39, 81)(35, 77, 37, 79, 40, 82)(38, 80, 41, 83, 42, 84)(85, 127, 87, 129, 92, 134, 98, 140, 104, 146, 110, 152, 116, 158, 122, 164, 124, 166, 118, 160, 112, 154, 106, 148, 100, 142, 94, 136, 88, 130, 93, 135, 99, 141, 105, 147, 111, 153, 117, 159, 123, 165, 126, 168, 121, 163, 115, 157, 109, 151, 103, 145, 97, 139, 91, 133, 86, 128, 90, 132, 96, 138, 102, 144, 108, 150, 114, 156, 120, 162, 125, 167, 119, 161, 113, 155, 107, 149, 101, 143, 95, 137, 89, 131)
	L = (1, 85)(2, 86)(3, 87)(4, 88)(5, 89)(6, 90)(7, 91)(8, 92)(9, 93)(10, 94)(11, 95)(12, 96)(13, 97)(14, 98)(15, 99)(16, 100)(17, 101)(18, 102)(19, 103)(20, 104)(21, 105)(22, 106)(23, 107)(24, 108)(25, 109)(26, 110)(27, 111)(28, 112)(29, 113)(30, 114)(31, 115)(32, 116)(33, 117)(34, 118)(35, 119)(36, 120)(37, 121)(38, 122)(39, 123)(40, 124)(41, 125)(42, 126)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 6, 84, 6, 84, 6, 84 ), ( 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 15 e = 84 f = 15
	degree seq :: [ 6^14, 84 ]

E28.671 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 42, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^3, (R * Y1)^2, (R * Y3)^2, (Y2, Y1^-1), (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, Y2^-14 * Y1, (Y3 * Y2^-1)^42 ]
Map::
	R = (1, 43, 2, 44, 4, 46)(3, 45, 6, 48, 9, 51)(5, 47, 7, 49, 10, 52)(8, 50, 12, 54, 15, 57)(11, 53, 13, 55, 16, 58)(14, 56, 18, 60, 21, 63)(17, 59, 19, 61, 22, 64)(20, 62, 24, 66, 27, 69)(23, 65, 25, 67, 28, 70)(26, 68, 30, 72, 33, 75)(29, 71, 31, 73, 34, 76)(32, 74, 36, 78, 39, 81)(35, 77, 37, 79, 40, 82)(38, 80, 42, 84, 41, 83)(85, 127, 87, 129, 92, 134, 98, 140, 104, 146, 110, 152, 116, 158, 122, 164, 121, 163, 115, 157, 109, 151, 103, 145, 97, 139, 91, 133, 86, 128, 90, 132, 96, 138, 102, 144, 108, 150, 114, 156, 120, 162, 126, 168, 124, 166, 118, 160, 112, 154, 106, 148, 100, 142, 94, 136, 88, 130, 93, 135, 99, 141, 105, 147, 111, 153, 117, 159, 123, 165, 125, 167, 119, 161, 113, 155, 107, 149, 101, 143, 95, 137, 89, 131)
	L = (1, 85)(2, 86)(3, 87)(4, 88)(5, 89)(6, 90)(7, 91)(8, 92)(9, 93)(10, 94)(11, 95)(12, 96)(13, 97)(14, 98)(15, 99)(16, 100)(17, 101)(18, 102)(19, 103)(20, 104)(21, 105)(22, 106)(23, 107)(24, 108)(25, 109)(26, 110)(27, 111)(28, 112)(29, 113)(30, 114)(31, 115)(32, 116)(33, 117)(34, 118)(35, 119)(36, 120)(37, 121)(38, 122)(39, 123)(40, 124)(41, 125)(42, 126)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 6, 84, 6, 84, 6, 84 ), ( 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 15 e = 84 f = 15
	degree seq :: [ 6^14, 84 ]

E28.672 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 42, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, Y1^3, (R * Y1)^2, (R * Y3)^2, (Y2, Y1), (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, Y2^-14 * Y1, (Y3 * Y2^-1)^42 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 4, 46)(3, 45, 6, 48, 9, 51)(5, 47, 7, 49, 10, 52)(8, 50, 12, 54, 15, 57)(11, 53, 13, 55, 16, 58)(14, 56, 18, 60, 21, 63)(17, 59, 19, 61, 22, 64)(20, 62, 24, 66, 27, 69)(23, 65, 25, 67, 28, 70)(26, 68, 30, 72, 33, 75)(29, 71, 31, 73, 34, 76)(32, 74, 36, 78, 39, 81)(35, 77, 37, 79, 40, 82)(38, 80, 42, 84, 41, 83)(85, 127, 87, 129, 92, 134, 98, 140, 104, 146, 110, 152, 116, 158, 122, 164, 121, 163, 115, 157, 109, 151, 103, 145, 97, 139, 91, 133, 86, 128, 90, 132, 96, 138, 102, 144, 108, 150, 114, 156, 120, 162, 126, 168, 124, 166, 118, 160, 112, 154, 106, 148, 100, 142, 94, 136, 88, 130, 93, 135, 99, 141, 105, 147, 111, 153, 117, 159, 123, 165, 125, 167, 119, 161, 113, 155, 107, 149, 101, 143, 95, 137, 89, 131)
	L = (1, 86)(2, 88)(3, 90)(4, 85)(5, 91)(6, 93)(7, 94)(8, 96)(9, 87)(10, 89)(11, 97)(12, 99)(13, 100)(14, 102)(15, 92)(16, 95)(17, 103)(18, 105)(19, 106)(20, 108)(21, 98)(22, 101)(23, 109)(24, 111)(25, 112)(26, 114)(27, 104)(28, 107)(29, 115)(30, 117)(31, 118)(32, 120)(33, 110)(34, 113)(35, 121)(36, 123)(37, 124)(38, 126)(39, 116)(40, 119)(41, 122)(42, 125)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 6, 84, 6, 84, 6, 84 ), ( 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 15 e = 84 f = 15
	degree seq :: [ 6^14, 84 ]

E28.673 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 42, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^2, Y3^3, (Y1^-1, Y2^-1), (Y2, Y3), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, Y2^5 * Y1^-1 * Y2^2, (Y2^-1 * Y3)^42 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 4, 46, 9, 51, 7, 49, 5, 47)(3, 45, 8, 50, 12, 54, 20, 62, 14, 56, 13, 55)(6, 48, 10, 52, 15, 57, 21, 63, 18, 60, 16, 58)(11, 53, 19, 61, 24, 66, 32, 74, 26, 68, 25, 67)(17, 59, 22, 64, 27, 69, 33, 75, 30, 72, 28, 70)(23, 65, 31, 73, 35, 77, 41, 83, 37, 79, 36, 78)(29, 71, 34, 76, 38, 80, 42, 84, 40, 82, 39, 81)(85, 127, 87, 129, 95, 137, 107, 149, 118, 160, 106, 148, 94, 136, 86, 128, 92, 134, 103, 145, 115, 157, 122, 164, 111, 153, 99, 141, 88, 130, 96, 138, 108, 150, 119, 161, 126, 168, 117, 159, 105, 147, 93, 135, 104, 146, 116, 158, 125, 167, 124, 166, 114, 156, 102, 144, 91, 133, 98, 140, 110, 152, 121, 163, 123, 165, 112, 154, 100, 142, 89, 131, 97, 139, 109, 151, 120, 162, 113, 155, 101, 143, 90, 132)
	L = (1, 88)(2, 93)(3, 96)(4, 91)(5, 86)(6, 99)(7, 85)(8, 104)(9, 89)(10, 105)(11, 108)(12, 98)(13, 92)(14, 87)(15, 102)(16, 94)(17, 111)(18, 90)(19, 116)(20, 97)(21, 100)(22, 117)(23, 119)(24, 110)(25, 103)(26, 95)(27, 114)(28, 106)(29, 122)(30, 101)(31, 125)(32, 109)(33, 112)(34, 126)(35, 121)(36, 115)(37, 107)(38, 124)(39, 118)(40, 113)(41, 120)(42, 123)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84 ), ( 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84 ) }
Outer automorphisms :: reflexible
Dual of E28.674
Graph:: bipartite
	v = 8 e = 84 f = 22
	degree seq :: [ 12^7, 84 ]

E28.674 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 42, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^3, (Y3, Y1), (R * Y3)^2, (R * Y2)^2, Y3^-1 * Y2 * Y3 * Y2, Y2 * Y1 * Y2 * Y1^-1, (R * Y1)^2, Y3^-6, Y1^-3 * Y2 * Y3 * Y1^-4 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 7, 49, 17, 59, 29, 71, 35, 77, 23, 65, 11, 53, 21, 63, 33, 75, 42, 84, 40, 82, 28, 70, 16, 58, 6, 48, 10, 52, 20, 62, 32, 74, 36, 78, 24, 66, 12, 54, 3, 45, 8, 50, 18, 60, 30, 72, 38, 80, 26, 68, 14, 56, 4, 46, 9, 51, 19, 61, 31, 73, 41, 83, 37, 79, 25, 67, 13, 55, 22, 64, 34, 76, 39, 81, 27, 69, 15, 57, 5, 47)(85, 127, 87, 129)(86, 128, 92, 134)(88, 130, 95, 137)(89, 131, 96, 138)(90, 132, 97, 139)(91, 133, 102, 144)(93, 135, 105, 147)(94, 136, 106, 148)(98, 140, 107, 149)(99, 141, 108, 150)(100, 142, 109, 151)(101, 143, 114, 156)(103, 145, 117, 159)(104, 146, 118, 160)(110, 152, 119, 161)(111, 153, 120, 162)(112, 154, 121, 163)(113, 155, 122, 164)(115, 157, 126, 168)(116, 158, 123, 165)(124, 166, 125, 167)
	L = (1, 88)(2, 93)(3, 95)(4, 90)(5, 98)(6, 85)(7, 103)(8, 105)(9, 94)(10, 86)(11, 97)(12, 107)(13, 87)(14, 100)(15, 110)(16, 89)(17, 115)(18, 117)(19, 104)(20, 91)(21, 106)(22, 92)(23, 109)(24, 119)(25, 96)(26, 112)(27, 122)(28, 99)(29, 125)(30, 126)(31, 116)(32, 101)(33, 118)(34, 102)(35, 121)(36, 113)(37, 108)(38, 124)(39, 114)(40, 111)(41, 120)(42, 123)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 12, 84, 12, 84 ), ( 12, 84, 12, 84, 12, 84, 12, 84, 12, 84, 12, 84, 12, 84, 12, 84, 12, 84, 12, 84, 12, 84, 12, 84, 12, 84, 12, 84, 12, 84, 12, 84, 12, 84, 12, 84, 12, 84, 12, 84, 12, 84, 12, 84, 12, 84, 12, 84, 12, 84, 12, 84, 12, 84, 12, 84, 12, 84, 12, 84, 12, 84, 12, 84, 12, 84, 12, 84, 12, 84, 12, 84, 12, 84, 12, 84, 12, 84, 12, 84, 12, 84, 12, 84 ) }
Outer automorphisms :: reflexible
Dual of E28.673
Graph:: bipartite
	v = 22 e = 84 f = 8
	degree seq :: [ 4^21, 84 ]

E28.675 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 15, 15})
Quotient :: dipole
Aut^+ = C15 x C3 (small group id <45, 2>)
Aut   = (C15 x C3) : C2 (small group id <90, 9>)
|r| :: 2
Presentation :: [ R^2, Y2^-3, Y1^3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2^-1, Y1^-1), (Y3, Y1^-1), (Y3, Y2), Y3^5 * Y2^-1, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^2 ]
Map:: non-degenerate
	R = (1, 46, 2, 47, 5, 50)(3, 48, 8, 53, 13, 58)(4, 49, 9, 54, 16, 61)(6, 51, 10, 55, 18, 63)(7, 52, 11, 56, 19, 64)(12, 57, 22, 67, 29, 74)(14, 59, 23, 68, 30, 75)(15, 60, 24, 69, 32, 77)(17, 62, 25, 70, 34, 79)(20, 65, 26, 71, 35, 80)(21, 66, 27, 72, 36, 81)(28, 73, 38, 83, 42, 87)(31, 76, 39, 84, 43, 88)(33, 78, 40, 85, 44, 89)(37, 82, 41, 86, 45, 90)(91, 136, 93, 138, 96, 141)(92, 137, 98, 143, 100, 145)(94, 139, 102, 147, 107, 152)(95, 140, 103, 148, 108, 153)(97, 142, 104, 149, 110, 155)(99, 144, 112, 157, 115, 160)(101, 146, 113, 158, 116, 161)(105, 150, 118, 163, 123, 168)(106, 151, 119, 164, 124, 169)(109, 154, 120, 165, 125, 170)(111, 156, 121, 166, 127, 172)(114, 159, 128, 173, 130, 175)(117, 162, 129, 174, 131, 176)(122, 167, 132, 177, 134, 179)(126, 171, 133, 178, 135, 180)
	L = (1, 94)(2, 99)(3, 102)(4, 105)(5, 106)(6, 107)(7, 91)(8, 112)(9, 114)(10, 115)(11, 92)(12, 118)(13, 119)(14, 93)(15, 121)(16, 122)(17, 123)(18, 124)(19, 95)(20, 96)(21, 97)(22, 128)(23, 98)(24, 129)(25, 130)(26, 100)(27, 101)(28, 127)(29, 132)(30, 103)(31, 104)(32, 133)(33, 111)(34, 134)(35, 108)(36, 109)(37, 110)(38, 131)(39, 113)(40, 117)(41, 116)(42, 135)(43, 120)(44, 126)(45, 125)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 30^6 ) }
Outer automorphisms :: reflexible
Dual of E28.685
Graph:: simple bipartite
	v = 30 e = 90 f = 6
	degree seq :: [ 6^30 ]

E28.676 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 15, 15})
Quotient :: dipole
Aut^+ = C15 x C3 (small group id <45, 2>)
Aut   = (C15 x C3) : C2 (small group id <90, 9>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^3, (R * Y3)^2, (R * Y1)^2, (Y2, Y1^-1), (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, Y2^15, (Y3 * Y2^-1)^15 ]
Map::
	R = (1, 46, 2, 47, 4, 49)(3, 48, 6, 51, 9, 54)(5, 50, 7, 52, 10, 55)(8, 53, 12, 57, 15, 60)(11, 56, 13, 58, 16, 61)(14, 59, 18, 63, 21, 66)(17, 62, 19, 64, 22, 67)(20, 65, 24, 69, 27, 72)(23, 68, 25, 70, 28, 73)(26, 71, 30, 75, 33, 78)(29, 74, 31, 76, 34, 79)(32, 77, 36, 81, 39, 84)(35, 80, 37, 82, 40, 85)(38, 83, 42, 87, 44, 89)(41, 86, 43, 88, 45, 90)(91, 136, 93, 138, 98, 143, 104, 149, 110, 155, 116, 161, 122, 167, 128, 173, 131, 176, 125, 170, 119, 164, 113, 158, 107, 152, 101, 146, 95, 140)(92, 137, 96, 141, 102, 147, 108, 153, 114, 159, 120, 165, 126, 171, 132, 177, 133, 178, 127, 172, 121, 166, 115, 160, 109, 154, 103, 148, 97, 142)(94, 139, 99, 144, 105, 150, 111, 156, 117, 162, 123, 168, 129, 174, 134, 179, 135, 180, 130, 175, 124, 169, 118, 163, 112, 157, 106, 151, 100, 145)
	L = (1, 91)(2, 92)(3, 93)(4, 94)(5, 95)(6, 96)(7, 97)(8, 98)(9, 99)(10, 100)(11, 101)(12, 102)(13, 103)(14, 104)(15, 105)(16, 106)(17, 107)(18, 108)(19, 109)(20, 110)(21, 111)(22, 112)(23, 113)(24, 114)(25, 115)(26, 116)(27, 117)(28, 118)(29, 119)(30, 120)(31, 121)(32, 122)(33, 123)(34, 124)(35, 125)(36, 126)(37, 127)(38, 128)(39, 129)(40, 130)(41, 131)(42, 132)(43, 133)(44, 134)(45, 135)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 6, 30, 6, 30, 6, 30 ), ( 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 18 e = 90 f = 18
	degree seq :: [ 6^15, 30^3 ]

E28.677 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 15, 15})
Quotient :: dipole
Aut^+ = C15 x C3 (small group id <45, 2>)
Aut   = (C15 x C3) : C2 (small group id <90, 9>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y2^-1, Y1^-1), (Y3^-1, Y2), (Y3^-1, Y1^-1), Y3^-1 * Y2^5, (Y1^-1 * Y3^-1)^3, Y2 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 46, 2, 47, 5, 50)(3, 48, 8, 53, 14, 59)(4, 49, 9, 54, 16, 61)(6, 51, 10, 55, 18, 63)(7, 52, 11, 56, 19, 64)(12, 57, 22, 67, 30, 75)(13, 58, 23, 68, 32, 77)(15, 60, 24, 69, 33, 78)(17, 62, 25, 70, 34, 79)(20, 65, 26, 71, 35, 80)(21, 66, 27, 72, 36, 81)(28, 73, 38, 83, 42, 87)(29, 74, 39, 84, 43, 88)(31, 76, 40, 85, 44, 89)(37, 82, 41, 86, 45, 90)(91, 136, 93, 138, 102, 147, 118, 163, 107, 152, 94, 139, 103, 148, 119, 164, 127, 172, 111, 156, 97, 142, 105, 150, 121, 166, 110, 155, 96, 141)(92, 137, 98, 143, 112, 157, 128, 173, 115, 160, 99, 144, 113, 158, 129, 174, 131, 176, 117, 162, 101, 146, 114, 159, 130, 175, 116, 161, 100, 145)(95, 140, 104, 149, 120, 165, 132, 177, 124, 169, 106, 151, 122, 167, 133, 178, 135, 180, 126, 171, 109, 154, 123, 168, 134, 179, 125, 170, 108, 153)
	L = (1, 94)(2, 99)(3, 103)(4, 97)(5, 106)(6, 107)(7, 91)(8, 113)(9, 101)(10, 115)(11, 92)(12, 119)(13, 105)(14, 122)(15, 93)(16, 109)(17, 111)(18, 124)(19, 95)(20, 118)(21, 96)(22, 129)(23, 114)(24, 98)(25, 117)(26, 128)(27, 100)(28, 127)(29, 121)(30, 133)(31, 102)(32, 123)(33, 104)(34, 126)(35, 132)(36, 108)(37, 110)(38, 131)(39, 130)(40, 112)(41, 116)(42, 135)(43, 134)(44, 120)(45, 125)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 6, 30, 6, 30, 6, 30 ), ( 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 18 e = 90 f = 18
	degree seq :: [ 6^15, 30^3 ]

E28.678 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 15, 15})
Quotient :: dipole
Aut^+ = C15 x C3 (small group id <45, 2>)
Aut   = (C15 x C3) : C2 (small group id <90, 9>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1^3, Y3^3, (R * Y3)^2, (Y3^-1, Y2), (R * Y1)^2, (R * Y2)^2, (Y2^-1, Y1^-1), (Y3^-1, Y1^-1), Y2^-5 * Y1^-1, (Y1^-1 * Y3^-1)^3, Y1^-1 * Y3 * Y2^-2 * Y3^-1 * Y1 * Y2^2 ]
Map:: non-degenerate
	R = (1, 46, 2, 47, 5, 50)(3, 48, 8, 53, 14, 59)(4, 49, 9, 54, 16, 61)(6, 51, 10, 55, 18, 63)(7, 52, 11, 56, 19, 64)(12, 57, 22, 67, 30, 75)(13, 58, 23, 68, 32, 77)(15, 60, 24, 69, 33, 78)(17, 62, 25, 70, 34, 79)(20, 65, 26, 71, 28, 73)(21, 66, 27, 72, 36, 81)(29, 74, 38, 83, 44, 89)(31, 76, 39, 84, 45, 90)(35, 80, 40, 85, 42, 87)(37, 82, 41, 86, 43, 88)(91, 136, 93, 138, 102, 147, 118, 163, 108, 153, 95, 140, 104, 149, 120, 165, 116, 161, 100, 145, 92, 137, 98, 143, 112, 157, 110, 155, 96, 141)(94, 139, 103, 148, 119, 164, 132, 177, 124, 169, 106, 151, 122, 167, 134, 179, 130, 175, 115, 160, 99, 144, 113, 158, 128, 173, 125, 170, 107, 152)(97, 142, 105, 150, 121, 166, 133, 178, 126, 171, 109, 154, 123, 168, 135, 180, 131, 176, 117, 162, 101, 146, 114, 159, 129, 174, 127, 172, 111, 156)
	L = (1, 94)(2, 99)(3, 103)(4, 97)(5, 106)(6, 107)(7, 91)(8, 113)(9, 101)(10, 115)(11, 92)(12, 119)(13, 105)(14, 122)(15, 93)(16, 109)(17, 111)(18, 124)(19, 95)(20, 125)(21, 96)(22, 128)(23, 114)(24, 98)(25, 117)(26, 130)(27, 100)(28, 132)(29, 121)(30, 134)(31, 102)(32, 123)(33, 104)(34, 126)(35, 127)(36, 108)(37, 110)(38, 129)(39, 112)(40, 131)(41, 116)(42, 133)(43, 118)(44, 135)(45, 120)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 6, 30, 6, 30, 6, 30 ), ( 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30 ) }
Outer automorphisms :: reflexible
Dual of E28.681
Graph:: bipartite
	v = 18 e = 90 f = 18
	degree seq :: [ 6^15, 30^3 ]

E28.679 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 15, 15})
Quotient :: dipole
Aut^+ = C15 x C3 (small group id <45, 2>)
Aut   = (C15 x C3) : C2 (small group id <90, 9>)
|r| :: 2
Presentation :: [ R^2, Y1^-3, Y3^3, (Y3^-1, Y2), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1, Y1^-1), (Y2^-1, Y1^-1), Y2^5 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 46, 2, 47, 5, 50)(3, 48, 8, 53, 14, 59)(4, 49, 9, 54, 16, 61)(6, 51, 10, 55, 18, 63)(7, 52, 11, 56, 19, 64)(12, 57, 22, 67, 29, 74)(13, 58, 23, 68, 31, 76)(15, 60, 24, 69, 32, 77)(17, 62, 25, 70, 33, 78)(20, 65, 26, 71, 35, 80)(21, 66, 27, 72, 36, 81)(28, 73, 38, 83, 42, 87)(30, 75, 39, 84, 43, 88)(34, 79, 40, 85, 44, 89)(37, 82, 41, 86, 45, 90)(91, 136, 93, 138, 102, 147, 116, 161, 100, 145, 92, 137, 98, 143, 112, 157, 125, 170, 108, 153, 95, 140, 104, 149, 119, 164, 110, 155, 96, 141)(94, 139, 103, 148, 118, 163, 130, 175, 115, 160, 99, 144, 113, 158, 128, 173, 134, 179, 123, 168, 106, 151, 121, 166, 132, 177, 124, 169, 107, 152)(97, 142, 105, 150, 120, 165, 131, 176, 117, 162, 101, 146, 114, 159, 129, 174, 135, 180, 126, 171, 109, 154, 122, 167, 133, 178, 127, 172, 111, 156)
	L = (1, 94)(2, 99)(3, 103)(4, 97)(5, 106)(6, 107)(7, 91)(8, 113)(9, 101)(10, 115)(11, 92)(12, 118)(13, 105)(14, 121)(15, 93)(16, 109)(17, 111)(18, 123)(19, 95)(20, 124)(21, 96)(22, 128)(23, 114)(24, 98)(25, 117)(26, 130)(27, 100)(28, 120)(29, 132)(30, 102)(31, 122)(32, 104)(33, 126)(34, 127)(35, 134)(36, 108)(37, 110)(38, 129)(39, 112)(40, 131)(41, 116)(42, 133)(43, 119)(44, 135)(45, 125)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 6, 30, 6, 30, 6, 30 ), ( 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 18 e = 90 f = 18
	degree seq :: [ 6^15, 30^3 ]

E28.680 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 15, 15})
Quotient :: dipole
Aut^+ = C15 x C3 (small group id <45, 2>)
Aut   = (C15 x C3) : C2 (small group id <90, 9>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, Y1^3, (R * Y1)^2, (R * Y3)^2, (Y2, Y1), (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, Y2^15, (Y3 * Y2^-1)^15 ]
Map:: non-degenerate
	R = (1, 46, 2, 47, 4, 49)(3, 48, 6, 51, 9, 54)(5, 50, 7, 52, 10, 55)(8, 53, 12, 57, 15, 60)(11, 56, 13, 58, 16, 61)(14, 59, 18, 63, 21, 66)(17, 62, 19, 64, 22, 67)(20, 65, 24, 69, 27, 72)(23, 68, 25, 70, 28, 73)(26, 71, 30, 75, 33, 78)(29, 74, 31, 76, 34, 79)(32, 77, 36, 81, 39, 84)(35, 80, 37, 82, 40, 85)(38, 83, 42, 87, 44, 89)(41, 86, 43, 88, 45, 90)(91, 136, 93, 138, 98, 143, 104, 149, 110, 155, 116, 161, 122, 167, 128, 173, 131, 176, 125, 170, 119, 164, 113, 158, 107, 152, 101, 146, 95, 140)(92, 137, 96, 141, 102, 147, 108, 153, 114, 159, 120, 165, 126, 171, 132, 177, 133, 178, 127, 172, 121, 166, 115, 160, 109, 154, 103, 148, 97, 142)(94, 139, 99, 144, 105, 150, 111, 156, 117, 162, 123, 168, 129, 174, 134, 179, 135, 180, 130, 175, 124, 169, 118, 163, 112, 157, 106, 151, 100, 145)
	L = (1, 92)(2, 94)(3, 96)(4, 91)(5, 97)(6, 99)(7, 100)(8, 102)(9, 93)(10, 95)(11, 103)(12, 105)(13, 106)(14, 108)(15, 98)(16, 101)(17, 109)(18, 111)(19, 112)(20, 114)(21, 104)(22, 107)(23, 115)(24, 117)(25, 118)(26, 120)(27, 110)(28, 113)(29, 121)(30, 123)(31, 124)(32, 126)(33, 116)(34, 119)(35, 127)(36, 129)(37, 130)(38, 132)(39, 122)(40, 125)(41, 133)(42, 134)(43, 135)(44, 128)(45, 131)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 6, 30, 6, 30, 6, 30 ), ( 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 18 e = 90 f = 18
	degree seq :: [ 6^15, 30^3 ]

E28.681 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 15, 15})
Quotient :: dipole
Aut^+ = C15 x C3 (small group id <45, 2>)
Aut   = (C15 x C3) : C2 (small group id <90, 9>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, (Y3, Y1), (Y2^-1, Y1^-1), (R * Y1)^2, (Y3^-1, Y2), (R * Y3)^2, (R * Y2)^2, Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-3, Y2 * Y3^-1 * Y2 * Y1^-1 * Y2^3 * Y1^-1, Y2^-3 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 46, 2, 47, 5, 50)(3, 48, 8, 53, 14, 59)(4, 49, 9, 54, 16, 61)(6, 51, 10, 55, 18, 63)(7, 52, 11, 56, 19, 64)(12, 57, 22, 67, 30, 75)(13, 58, 23, 68, 32, 77)(15, 60, 24, 69, 33, 78)(17, 62, 25, 70, 34, 79)(20, 65, 26, 71, 36, 81)(21, 66, 27, 72, 37, 82)(28, 73, 35, 80, 41, 86)(29, 74, 40, 85, 45, 90)(31, 76, 38, 83, 42, 87)(39, 84, 43, 88, 44, 89)(91, 136, 93, 138, 102, 147, 118, 163, 124, 169, 106, 151, 122, 167, 135, 180, 133, 178, 117, 162, 101, 146, 114, 159, 128, 173, 110, 155, 96, 141)(92, 137, 98, 143, 112, 157, 125, 170, 107, 152, 94, 139, 103, 148, 119, 164, 134, 179, 127, 172, 109, 154, 123, 168, 132, 177, 116, 161, 100, 145)(95, 140, 104, 149, 120, 165, 131, 176, 115, 160, 99, 144, 113, 158, 130, 175, 129, 174, 111, 156, 97, 142, 105, 150, 121, 166, 126, 171, 108, 153)
	L = (1, 94)(2, 99)(3, 103)(4, 97)(5, 106)(6, 107)(7, 91)(8, 113)(9, 101)(10, 115)(11, 92)(12, 119)(13, 105)(14, 122)(15, 93)(16, 109)(17, 111)(18, 124)(19, 95)(20, 125)(21, 96)(22, 130)(23, 114)(24, 98)(25, 117)(26, 131)(27, 100)(28, 134)(29, 121)(30, 135)(31, 102)(32, 123)(33, 104)(34, 127)(35, 129)(36, 118)(37, 108)(38, 112)(39, 110)(40, 128)(41, 133)(42, 120)(43, 116)(44, 126)(45, 132)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 6, 30, 6, 30, 6, 30 ), ( 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30 ) }
Outer automorphisms :: reflexible
Dual of E28.678
Graph:: bipartite
	v = 18 e = 90 f = 18
	degree seq :: [ 6^15, 30^3 ]

E28.682 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 15, 15})
Quotient :: dipole
Aut^+ = C15 x C3 (small group id <45, 2>)
Aut   = (C15 x C3) : C2 (small group id <90, 9>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, (Y3^-1, Y1), (Y2^-1, Y3^-1), (Y1^-1, Y2), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2^2 * Y3^-1 * Y2^3 * Y1^-1, Y2^-15 ]
Map:: non-degenerate
	R = (1, 46, 2, 47, 5, 50)(3, 48, 8, 53, 14, 59)(4, 49, 9, 54, 16, 61)(6, 51, 10, 55, 18, 63)(7, 52, 11, 56, 19, 64)(12, 57, 22, 67, 30, 75)(13, 58, 23, 68, 32, 77)(15, 60, 24, 69, 33, 78)(17, 62, 25, 70, 34, 79)(20, 65, 26, 71, 36, 81)(21, 66, 27, 72, 37, 82)(28, 73, 40, 85, 35, 80)(29, 74, 41, 86, 44, 89)(31, 76, 42, 87, 38, 83)(39, 84, 43, 88, 45, 90)(91, 136, 93, 138, 102, 147, 118, 163, 115, 160, 99, 144, 113, 158, 131, 176, 135, 180, 127, 172, 109, 154, 123, 168, 128, 173, 110, 155, 96, 141)(92, 137, 98, 143, 112, 157, 130, 175, 124, 169, 106, 151, 122, 167, 134, 179, 129, 174, 111, 156, 97, 142, 105, 150, 121, 166, 116, 161, 100, 145)(94, 139, 103, 148, 119, 164, 133, 178, 117, 162, 101, 146, 114, 159, 132, 177, 126, 171, 108, 153, 95, 140, 104, 149, 120, 165, 125, 170, 107, 152)
	L = (1, 94)(2, 99)(3, 103)(4, 97)(5, 106)(6, 107)(7, 91)(8, 113)(9, 101)(10, 115)(11, 92)(12, 119)(13, 105)(14, 122)(15, 93)(16, 109)(17, 111)(18, 124)(19, 95)(20, 125)(21, 96)(22, 131)(23, 114)(24, 98)(25, 117)(26, 118)(27, 100)(28, 133)(29, 121)(30, 134)(31, 102)(32, 123)(33, 104)(34, 127)(35, 129)(36, 130)(37, 108)(38, 120)(39, 110)(40, 135)(41, 132)(42, 112)(43, 116)(44, 128)(45, 126)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 6, 30, 6, 30, 6, 30 ), ( 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30 ) }
Outer automorphisms :: reflexible
Dual of E28.684
Graph:: bipartite
	v = 18 e = 90 f = 18
	degree seq :: [ 6^15, 30^3 ]

E28.683 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 15, 15})
Quotient :: dipole
Aut^+ = C15 x C3 (small group id <45, 2>)
Aut   = (C15 x C3) : C2 (small group id <90, 9>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (Y2^-1, Y1^-1), (R * Y3)^2, (Y3^-1, Y2), (R * Y1)^2, (R * Y2)^2, (Y3^-1, Y1^-1), Y2 * Y1 * Y3 * Y2^4, Y3 * Y2^2 * Y1^-1 * Y2^3 * Y1^-1, Y2^-2 * Y1 * Y3 * Y2^-3 * Y1 * Y3 ]
Map:: non-degenerate
	R = (1, 46, 2, 47, 5, 50)(3, 48, 8, 53, 14, 59)(4, 49, 9, 54, 16, 61)(6, 51, 10, 55, 18, 63)(7, 52, 11, 56, 19, 64)(12, 57, 22, 67, 30, 75)(13, 58, 23, 68, 32, 77)(15, 60, 24, 69, 33, 78)(17, 62, 25, 70, 34, 79)(20, 65, 26, 71, 36, 81)(21, 66, 27, 72, 37, 82)(28, 73, 39, 84, 43, 88)(29, 74, 38, 83, 42, 87)(31, 76, 40, 85, 45, 90)(35, 80, 41, 86, 44, 89)(91, 136, 93, 138, 102, 147, 118, 163, 127, 172, 109, 154, 123, 168, 135, 180, 131, 176, 115, 160, 99, 144, 113, 158, 128, 173, 110, 155, 96, 141)(92, 137, 98, 143, 112, 157, 129, 174, 111, 156, 97, 142, 105, 150, 121, 166, 134, 179, 124, 169, 106, 151, 122, 167, 132, 177, 116, 161, 100, 145)(94, 139, 103, 148, 119, 164, 126, 171, 108, 153, 95, 140, 104, 149, 120, 165, 133, 178, 117, 162, 101, 146, 114, 159, 130, 175, 125, 170, 107, 152)
	L = (1, 94)(2, 99)(3, 103)(4, 97)(5, 106)(6, 107)(7, 91)(8, 113)(9, 101)(10, 115)(11, 92)(12, 119)(13, 105)(14, 122)(15, 93)(16, 109)(17, 111)(18, 124)(19, 95)(20, 125)(21, 96)(22, 128)(23, 114)(24, 98)(25, 117)(26, 131)(27, 100)(28, 126)(29, 121)(30, 132)(31, 102)(32, 123)(33, 104)(34, 127)(35, 129)(36, 134)(37, 108)(38, 130)(39, 110)(40, 112)(41, 133)(42, 135)(43, 116)(44, 118)(45, 120)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 6, 30, 6, 30, 6, 30 ), ( 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 18 e = 90 f = 18
	degree seq :: [ 6^15, 30^3 ]

E28.684 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 15, 15})
Quotient :: dipole
Aut^+ = C15 x C3 (small group id <45, 2>)
Aut   = (C15 x C3) : C2 (small group id <90, 9>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, Y1^3, (Y3^-1, Y2^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2^-1, Y1^-1), (Y3^-1, Y1^-1), Y2 * Y1^-1 * Y2^2 * Y3 * Y2^2, Y3^-1 * Y2^4 * Y3^-1 * Y2 * Y1^-1, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 46, 2, 47, 5, 50)(3, 48, 8, 53, 14, 59)(4, 49, 9, 54, 16, 61)(6, 51, 10, 55, 18, 63)(7, 52, 11, 56, 19, 64)(12, 57, 22, 67, 30, 75)(13, 58, 23, 68, 32, 77)(15, 60, 24, 69, 33, 78)(17, 62, 25, 70, 34, 79)(20, 65, 26, 71, 36, 81)(21, 66, 27, 72, 37, 82)(28, 73, 40, 85, 39, 84)(29, 74, 41, 86, 38, 83)(31, 76, 42, 87, 44, 89)(35, 80, 43, 88, 45, 90)(91, 136, 93, 138, 102, 147, 118, 163, 117, 162, 101, 146, 114, 159, 132, 177, 135, 180, 124, 169, 106, 151, 122, 167, 128, 173, 110, 155, 96, 141)(92, 137, 98, 143, 112, 157, 130, 175, 127, 172, 109, 154, 123, 168, 134, 179, 125, 170, 107, 152, 94, 139, 103, 148, 119, 164, 116, 161, 100, 145)(95, 140, 104, 149, 120, 165, 129, 174, 111, 156, 97, 142, 105, 150, 121, 166, 133, 178, 115, 160, 99, 144, 113, 158, 131, 176, 126, 171, 108, 153)
	L = (1, 94)(2, 99)(3, 103)(4, 97)(5, 106)(6, 107)(7, 91)(8, 113)(9, 101)(10, 115)(11, 92)(12, 119)(13, 105)(14, 122)(15, 93)(16, 109)(17, 111)(18, 124)(19, 95)(20, 125)(21, 96)(22, 131)(23, 114)(24, 98)(25, 117)(26, 133)(27, 100)(28, 116)(29, 121)(30, 128)(31, 102)(32, 123)(33, 104)(34, 127)(35, 129)(36, 135)(37, 108)(38, 134)(39, 110)(40, 126)(41, 132)(42, 112)(43, 118)(44, 120)(45, 130)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 6, 30, 6, 30, 6, 30 ), ( 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30 ) }
Outer automorphisms :: reflexible
Dual of E28.682
Graph:: bipartite
	v = 18 e = 90 f = 18
	degree seq :: [ 6^15, 30^3 ]

E28.685 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 15, 15})
Quotient :: dipole
Aut^+ = C15 x C3 (small group id <45, 2>)
Aut   = (C15 x C3) : C2 (small group id <90, 9>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y2^-1), (Y1^-1, Y2), (R * Y2)^2, (Y1^-1, Y3), (R * Y1)^2, (R * Y3)^2, Y1 * Y2^-1 * Y1 * Y3^-1 * Y1, Y2 * Y3 * Y2^3, Y3 * Y2 * Y3^3, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1, (Y1^-1 * Y3^-1)^3, Y1^-1 * Y2^-2 * Y1^-2 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 46, 2, 47, 8, 53, 14, 59, 29, 74, 42, 87, 38, 83, 44, 89, 45, 90, 36, 81, 43, 88, 41, 86, 24, 69, 20, 65, 5, 50)(3, 48, 9, 54, 26, 71, 23, 68, 33, 78, 40, 85, 19, 64, 32, 77, 39, 84, 17, 62, 31, 76, 22, 67, 7, 52, 12, 57, 15, 60)(4, 49, 10, 55, 27, 72, 25, 70, 34, 79, 37, 82, 16, 61, 30, 75, 35, 80, 13, 58, 28, 73, 21, 66, 6, 51, 11, 56, 18, 63)(91, 136, 93, 138, 103, 148, 114, 159, 97, 142, 106, 151, 126, 171, 107, 152, 115, 160, 128, 173, 109, 154, 94, 139, 104, 149, 113, 158, 96, 141)(92, 137, 99, 144, 118, 163, 110, 155, 102, 147, 120, 165, 133, 178, 121, 166, 124, 169, 134, 179, 122, 167, 100, 145, 119, 164, 123, 168, 101, 146)(95, 140, 105, 150, 125, 170, 131, 176, 112, 157, 127, 172, 135, 180, 129, 174, 117, 162, 132, 177, 130, 175, 108, 153, 98, 143, 116, 161, 111, 156)
	L = (1, 94)(2, 100)(3, 104)(4, 107)(5, 108)(6, 109)(7, 91)(8, 117)(9, 119)(10, 121)(11, 122)(12, 92)(13, 113)(14, 115)(15, 98)(16, 93)(17, 114)(18, 129)(19, 126)(20, 101)(21, 130)(22, 95)(23, 128)(24, 96)(25, 97)(26, 132)(27, 112)(28, 123)(29, 124)(30, 99)(31, 110)(32, 133)(33, 134)(34, 102)(35, 116)(36, 103)(37, 105)(38, 106)(39, 131)(40, 135)(41, 111)(42, 127)(43, 118)(44, 120)(45, 125)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 6^30 ) }
Outer automorphisms :: reflexible
Dual of E28.675
Graph:: bipartite
	v = 6 e = 90 f = 30
	degree seq :: [ 30^6 ]

E28.686 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 8})
Quotient :: edge^2
Aut^+ = C2 . S4 = SL(2,3) . C2 (small group id <48, 28>)
Aut   = (C2 . S4 = SL(2,3) . C2) : C2 (small group id <96, 192>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y2^2, Y1^-1 * Y2^-2 * Y1^-1, Y1^4, Y3 * Y1^-2 * Y3, Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y3^4, Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y3^2 * Y1^2, R * Y1 * R * Y2, (R * Y3)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1, Y1 * Y3 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 49, 4, 52, 8, 56, 7, 55)(2, 50, 10, 58, 5, 53, 12, 60)(3, 51, 13, 61, 6, 54, 14, 62)(9, 57, 19, 67, 11, 59, 20, 68)(15, 63, 21, 69, 17, 65, 23, 71)(16, 64, 26, 74, 18, 66, 28, 76)(22, 70, 32, 80, 24, 72, 34, 82)(25, 73, 33, 81, 27, 75, 31, 79)(29, 77, 39, 87, 30, 78, 40, 88)(35, 83, 43, 91, 36, 84, 44, 92)(37, 85, 45, 93, 38, 86, 46, 94)(41, 89, 47, 95, 42, 90, 48, 96)(97, 98, 104, 101)(99, 107, 102, 105)(100, 111, 103, 113)(106, 117, 108, 119)(109, 121, 110, 123)(112, 126, 114, 125)(115, 127, 116, 129)(118, 132, 120, 131)(122, 134, 124, 133)(128, 138, 130, 137)(135, 141, 136, 142)(139, 143, 140, 144)(145, 147, 152, 150)(146, 153, 149, 155)(148, 160, 151, 162)(154, 166, 156, 168)(157, 170, 158, 172)(159, 173, 161, 174)(163, 176, 164, 178)(165, 179, 167, 180)(169, 181, 171, 182)(175, 185, 177, 186)(183, 187, 184, 188)(189, 192, 190, 191)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 32^4 ), ( 32^8 ) }
Outer automorphisms :: reflexible
Dual of E28.693
Graph:: bipartite
	v = 36 e = 96 f = 6
	degree seq :: [ 4^24, 8^12 ]

E28.687 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 8})
Quotient :: edge^2
Aut^+ = C2 . S4 = SL(2,3) . C2 (small group id <48, 28>)
Aut   = (C2 . S4 = SL(2,3) . C2) : C2 (small group id <96, 192>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y2^2, Y1^4, Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y1^2 * Y2^-2, Y3^2 * Y1^2, Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y3 * Y1^-2 * Y3, R * Y1 * R * Y2, (R * Y3)^2, Y3^-1 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1, Y3 * Y2^-1 * Y3^2 * Y2 * Y3, (Y2 * Y3)^3, Y1 * Y3 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 49, 4, 52, 8, 56, 7, 55)(2, 50, 10, 58, 5, 53, 12, 60)(3, 51, 13, 61, 6, 54, 14, 62)(9, 57, 19, 67, 11, 59, 20, 68)(15, 63, 23, 71, 17, 65, 21, 69)(16, 64, 28, 76, 18, 66, 26, 74)(22, 70, 34, 82, 24, 72, 32, 80)(25, 73, 31, 79, 27, 75, 33, 81)(29, 77, 39, 87, 30, 78, 40, 88)(35, 83, 43, 91, 36, 84, 44, 92)(37, 85, 45, 93, 38, 86, 46, 94)(41, 89, 47, 95, 42, 90, 48, 96)(97, 98, 104, 101)(99, 107, 102, 105)(100, 111, 103, 113)(106, 117, 108, 119)(109, 121, 110, 123)(112, 126, 114, 125)(115, 127, 116, 129)(118, 132, 120, 131)(122, 134, 124, 133)(128, 138, 130, 137)(135, 141, 136, 142)(139, 143, 140, 144)(145, 147, 152, 150)(146, 153, 149, 155)(148, 160, 151, 162)(154, 166, 156, 168)(157, 170, 158, 172)(159, 173, 161, 174)(163, 176, 164, 178)(165, 179, 167, 180)(169, 181, 171, 182)(175, 185, 177, 186)(183, 187, 184, 188)(189, 192, 190, 191)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 32^4 ), ( 32^8 ) }
Outer automorphisms :: reflexible
Dual of E28.692
Graph:: bipartite
	v = 36 e = 96 f = 6
	degree seq :: [ 4^24, 8^12 ]

E28.688 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 8})
Quotient :: edge^2
Aut^+ = C2 . S4 = SL(2,3) . C2 (small group id <48, 28>)
Aut   = (C2 . S4 = SL(2,3) . C2) : C2 (small group id <96, 192>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^2 * Y1, R * Y2 * R * Y1, Y2^4, (R * Y3)^2, Y2^-2 * Y1^2, Y2 * Y1^-1 * Y2 * Y1, Y3^-1 * Y1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3^4 * Y2^-2, Y2^-1 * Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y1, Y3^2 * Y2^-1 * Y3^-2 * Y1, Y3 * Y2^-2 * Y3^-1 * Y1^-2, Y3 * Y1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1, Y3 * Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y2 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y2^-1 * Y3^2 * Y1^-1 * Y3^2, Y3^-1 * Y1^-1 * Y3 * Y2 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 4, 52, 17, 65, 30, 78, 8, 56, 29, 77, 28, 76, 7, 55)(2, 50, 10, 58, 35, 83, 21, 69, 5, 53, 20, 68, 44, 92, 12, 60)(3, 51, 13, 61, 45, 93, 23, 71, 6, 54, 22, 70, 46, 94, 14, 62)(9, 57, 31, 79, 47, 95, 39, 87, 11, 59, 38, 86, 48, 96, 32, 80)(15, 63, 40, 88, 27, 75, 34, 82, 18, 66, 42, 90, 25, 73, 37, 85)(16, 64, 33, 81, 26, 74, 43, 91, 19, 67, 36, 84, 24, 72, 41, 89)(97, 98, 104, 101)(99, 107, 102, 105)(100, 111, 125, 114)(103, 120, 126, 122)(106, 129, 116, 132)(108, 136, 117, 138)(109, 139, 118, 137)(110, 133, 119, 130)(112, 135, 115, 128)(113, 141, 124, 142)(121, 134, 123, 127)(131, 143, 140, 144)(145, 147, 152, 150)(146, 153, 149, 155)(148, 160, 173, 163)(151, 169, 174, 171)(154, 178, 164, 181)(156, 185, 165, 187)(157, 184, 166, 186)(158, 177, 167, 180)(159, 176, 162, 183)(161, 179, 172, 188)(168, 175, 170, 182)(189, 192, 190, 191)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 16^4 ), ( 16^16 ) }
Outer automorphisms :: reflexible
Dual of E28.691
Graph:: bipartite
	v = 30 e = 96 f = 12
	degree seq :: [ 4^24, 16^6 ]

E28.689 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 8})
Quotient :: edge^2
Aut^+ = C2 . S4 = SL(2,3) . C2 (small group id <48, 28>)
Aut   = (C2 . S4 = SL(2,3) . C2) : C2 (small group id <96, 192>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^2 * Y1, Y2 * Y1^-1 * Y2 * Y1, (R * Y3)^2, Y2^-2 * Y1^2, R * Y2 * R * Y1, Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1, Y3^-1 * Y1 * Y3 * Y2 * Y3 * Y1^-1, Y3 * Y2^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y3^4 * Y2^-2, Y3^2 * Y2^-1 * Y3^2 * Y1^-1, (Y2^-1 * Y3)^3, Y1^-1 * Y3 * Y1^2 * Y3^-1 * Y1^-1, Y2^-1 * Y3^-1 * Y1^-1 * Y2 * Y3^-1 * Y1^-1, Y3^-1 * Y2 * Y3^-1 * Y1^-1 * Y3 * Y1^-1, Y3^-2 * Y1^-1 * Y3^2 * Y2, Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3, Y3^-2 * Y1^-1 * Y3^-2 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 49, 4, 52, 17, 65, 30, 78, 8, 56, 29, 77, 28, 76, 7, 55)(2, 50, 10, 58, 35, 83, 21, 69, 5, 53, 20, 68, 44, 92, 12, 60)(3, 51, 13, 61, 45, 93, 23, 71, 6, 54, 22, 70, 46, 94, 14, 62)(9, 57, 31, 79, 47, 95, 39, 87, 11, 59, 38, 86, 48, 96, 32, 80)(15, 63, 42, 90, 27, 75, 37, 85, 18, 66, 40, 88, 25, 73, 34, 82)(16, 64, 36, 84, 26, 74, 41, 89, 19, 67, 33, 81, 24, 72, 43, 91)(97, 98, 104, 101)(99, 107, 102, 105)(100, 111, 125, 114)(103, 120, 126, 122)(106, 129, 116, 132)(108, 136, 117, 138)(109, 139, 118, 137)(110, 133, 119, 130)(112, 135, 115, 128)(113, 141, 124, 142)(121, 134, 123, 127)(131, 143, 140, 144)(145, 147, 152, 150)(146, 153, 149, 155)(148, 160, 173, 163)(151, 169, 174, 171)(154, 178, 164, 181)(156, 185, 165, 187)(157, 184, 166, 186)(158, 177, 167, 180)(159, 176, 162, 183)(161, 179, 172, 188)(168, 175, 170, 182)(189, 192, 190, 191)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 16^4 ), ( 16^16 ) }
Outer automorphisms :: reflexible
Dual of E28.690
Graph:: bipartite
	v = 30 e = 96 f = 12
	degree seq :: [ 4^24, 16^6 ]

E28.690 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 8})
Quotient :: loop^2
Aut^+ = C2 . S4 = SL(2,3) . C2 (small group id <48, 28>)
Aut   = (C2 . S4 = SL(2,3) . C2) : C2 (small group id <96, 192>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y2^2, Y1^-1 * Y2^-2 * Y1^-1, Y1^4, Y3 * Y1^-2 * Y3, Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y3^4, Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y3^2 * Y1^2, R * Y1 * R * Y2, (R * Y3)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1, Y1 * Y3 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148, 8, 56, 104, 152, 7, 55, 103, 151)(2, 50, 98, 146, 10, 58, 106, 154, 5, 53, 101, 149, 12, 60, 108, 156)(3, 51, 99, 147, 13, 61, 109, 157, 6, 54, 102, 150, 14, 62, 110, 158)(9, 57, 105, 153, 19, 67, 115, 163, 11, 59, 107, 155, 20, 68, 116, 164)(15, 63, 111, 159, 21, 69, 117, 165, 17, 65, 113, 161, 23, 71, 119, 167)(16, 64, 112, 160, 26, 74, 122, 170, 18, 66, 114, 162, 28, 76, 124, 172)(22, 70, 118, 166, 32, 80, 128, 176, 24, 72, 120, 168, 34, 82, 130, 178)(25, 73, 121, 169, 33, 81, 129, 177, 27, 75, 123, 171, 31, 79, 127, 175)(29, 77, 125, 173, 39, 87, 135, 183, 30, 78, 126, 174, 40, 88, 136, 184)(35, 83, 131, 179, 43, 91, 139, 187, 36, 84, 132, 180, 44, 92, 140, 188)(37, 85, 133, 181, 45, 93, 141, 189, 38, 86, 134, 182, 46, 94, 142, 190)(41, 89, 137, 185, 47, 95, 143, 191, 42, 90, 138, 186, 48, 96, 144, 192)
	L = (1, 50)(2, 56)(3, 59)(4, 63)(5, 49)(6, 57)(7, 65)(8, 53)(9, 51)(10, 69)(11, 54)(12, 71)(13, 73)(14, 75)(15, 55)(16, 78)(17, 52)(18, 77)(19, 79)(20, 81)(21, 60)(22, 84)(23, 58)(24, 83)(25, 62)(26, 86)(27, 61)(28, 85)(29, 64)(30, 66)(31, 68)(32, 90)(33, 67)(34, 89)(35, 70)(36, 72)(37, 74)(38, 76)(39, 93)(40, 94)(41, 80)(42, 82)(43, 95)(44, 96)(45, 88)(46, 87)(47, 92)(48, 91)(97, 147)(98, 153)(99, 152)(100, 160)(101, 155)(102, 145)(103, 162)(104, 150)(105, 149)(106, 166)(107, 146)(108, 168)(109, 170)(110, 172)(111, 173)(112, 151)(113, 174)(114, 148)(115, 176)(116, 178)(117, 179)(118, 156)(119, 180)(120, 154)(121, 181)(122, 158)(123, 182)(124, 157)(125, 161)(126, 159)(127, 185)(128, 164)(129, 186)(130, 163)(131, 167)(132, 165)(133, 171)(134, 169)(135, 187)(136, 188)(137, 177)(138, 175)(139, 184)(140, 183)(141, 192)(142, 191)(143, 189)(144, 190)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.689
Transitivity :: VT+
Graph::
	v = 12 e = 96 f = 30
	degree seq :: [ 16^12 ]

E28.691 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 8})
Quotient :: loop^2
Aut^+ = C2 . S4 = SL(2,3) . C2 (small group id <48, 28>)
Aut   = (C2 . S4 = SL(2,3) . C2) : C2 (small group id <96, 192>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y2^2, Y1^4, Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y1^2 * Y2^-2, Y3^2 * Y1^2, Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y3 * Y1^-2 * Y3, R * Y1 * R * Y2, (R * Y3)^2, Y3^-1 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1, Y3 * Y2^-1 * Y3^2 * Y2 * Y3, (Y2 * Y3)^3, Y1 * Y3 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148, 8, 56, 104, 152, 7, 55, 103, 151)(2, 50, 98, 146, 10, 58, 106, 154, 5, 53, 101, 149, 12, 60, 108, 156)(3, 51, 99, 147, 13, 61, 109, 157, 6, 54, 102, 150, 14, 62, 110, 158)(9, 57, 105, 153, 19, 67, 115, 163, 11, 59, 107, 155, 20, 68, 116, 164)(15, 63, 111, 159, 23, 71, 119, 167, 17, 65, 113, 161, 21, 69, 117, 165)(16, 64, 112, 160, 28, 76, 124, 172, 18, 66, 114, 162, 26, 74, 122, 170)(22, 70, 118, 166, 34, 82, 130, 178, 24, 72, 120, 168, 32, 80, 128, 176)(25, 73, 121, 169, 31, 79, 127, 175, 27, 75, 123, 171, 33, 81, 129, 177)(29, 77, 125, 173, 39, 87, 135, 183, 30, 78, 126, 174, 40, 88, 136, 184)(35, 83, 131, 179, 43, 91, 139, 187, 36, 84, 132, 180, 44, 92, 140, 188)(37, 85, 133, 181, 45, 93, 141, 189, 38, 86, 134, 182, 46, 94, 142, 190)(41, 89, 137, 185, 47, 95, 143, 191, 42, 90, 138, 186, 48, 96, 144, 192)
	L = (1, 50)(2, 56)(3, 59)(4, 63)(5, 49)(6, 57)(7, 65)(8, 53)(9, 51)(10, 69)(11, 54)(12, 71)(13, 73)(14, 75)(15, 55)(16, 78)(17, 52)(18, 77)(19, 79)(20, 81)(21, 60)(22, 84)(23, 58)(24, 83)(25, 62)(26, 86)(27, 61)(28, 85)(29, 64)(30, 66)(31, 68)(32, 90)(33, 67)(34, 89)(35, 70)(36, 72)(37, 74)(38, 76)(39, 93)(40, 94)(41, 80)(42, 82)(43, 95)(44, 96)(45, 88)(46, 87)(47, 92)(48, 91)(97, 147)(98, 153)(99, 152)(100, 160)(101, 155)(102, 145)(103, 162)(104, 150)(105, 149)(106, 166)(107, 146)(108, 168)(109, 170)(110, 172)(111, 173)(112, 151)(113, 174)(114, 148)(115, 176)(116, 178)(117, 179)(118, 156)(119, 180)(120, 154)(121, 181)(122, 158)(123, 182)(124, 157)(125, 161)(126, 159)(127, 185)(128, 164)(129, 186)(130, 163)(131, 167)(132, 165)(133, 171)(134, 169)(135, 187)(136, 188)(137, 177)(138, 175)(139, 184)(140, 183)(141, 192)(142, 191)(143, 189)(144, 190)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.688
Transitivity :: VT+
Graph::
	v = 12 e = 96 f = 30
	degree seq :: [ 16^12 ]

E28.692 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 8})
Quotient :: loop^2
Aut^+ = C2 . S4 = SL(2,3) . C2 (small group id <48, 28>)
Aut   = (C2 . S4 = SL(2,3) . C2) : C2 (small group id <96, 192>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^2 * Y1, R * Y2 * R * Y1, Y2^4, (R * Y3)^2, Y2^-2 * Y1^2, Y2 * Y1^-1 * Y2 * Y1, Y3^-1 * Y1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3^4 * Y2^-2, Y2^-1 * Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y1, Y3^2 * Y2^-1 * Y3^-2 * Y1, Y3 * Y2^-2 * Y3^-1 * Y1^-2, Y3 * Y1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1, Y3 * Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y2 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y2^-1 * Y3^2 * Y1^-1 * Y3^2, Y3^-1 * Y1^-1 * Y3 * Y2 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148, 17, 65, 113, 161, 30, 78, 126, 174, 8, 56, 104, 152, 29, 77, 125, 173, 28, 76, 124, 172, 7, 55, 103, 151)(2, 50, 98, 146, 10, 58, 106, 154, 35, 83, 131, 179, 21, 69, 117, 165, 5, 53, 101, 149, 20, 68, 116, 164, 44, 92, 140, 188, 12, 60, 108, 156)(3, 51, 99, 147, 13, 61, 109, 157, 45, 93, 141, 189, 23, 71, 119, 167, 6, 54, 102, 150, 22, 70, 118, 166, 46, 94, 142, 190, 14, 62, 110, 158)(9, 57, 105, 153, 31, 79, 127, 175, 47, 95, 143, 191, 39, 87, 135, 183, 11, 59, 107, 155, 38, 86, 134, 182, 48, 96, 144, 192, 32, 80, 128, 176)(15, 63, 111, 159, 40, 88, 136, 184, 27, 75, 123, 171, 34, 82, 130, 178, 18, 66, 114, 162, 42, 90, 138, 186, 25, 73, 121, 169, 37, 85, 133, 181)(16, 64, 112, 160, 33, 81, 129, 177, 26, 74, 122, 170, 43, 91, 139, 187, 19, 67, 115, 163, 36, 84, 132, 180, 24, 72, 120, 168, 41, 89, 137, 185)
	L = (1, 50)(2, 56)(3, 59)(4, 63)(5, 49)(6, 57)(7, 72)(8, 53)(9, 51)(10, 81)(11, 54)(12, 88)(13, 91)(14, 85)(15, 77)(16, 87)(17, 93)(18, 52)(19, 80)(20, 84)(21, 90)(22, 89)(23, 82)(24, 78)(25, 86)(26, 55)(27, 79)(28, 94)(29, 66)(30, 74)(31, 73)(32, 64)(33, 68)(34, 62)(35, 95)(36, 58)(37, 71)(38, 75)(39, 67)(40, 69)(41, 61)(42, 60)(43, 70)(44, 96)(45, 76)(46, 65)(47, 92)(48, 83)(97, 147)(98, 153)(99, 152)(100, 160)(101, 155)(102, 145)(103, 169)(104, 150)(105, 149)(106, 178)(107, 146)(108, 185)(109, 184)(110, 177)(111, 176)(112, 173)(113, 179)(114, 183)(115, 148)(116, 181)(117, 187)(118, 186)(119, 180)(120, 175)(121, 174)(122, 182)(123, 151)(124, 188)(125, 163)(126, 171)(127, 170)(128, 162)(129, 167)(130, 164)(131, 172)(132, 158)(133, 154)(134, 168)(135, 159)(136, 166)(137, 165)(138, 157)(139, 156)(140, 161)(141, 192)(142, 191)(143, 189)(144, 190)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.687
Transitivity :: VT+
Graph::
	v = 6 e = 96 f = 36
	degree seq :: [ 32^6 ]

E28.693 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 8})
Quotient :: loop^2
Aut^+ = C2 . S4 = SL(2,3) . C2 (small group id <48, 28>)
Aut   = (C2 . S4 = SL(2,3) . C2) : C2 (small group id <96, 192>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^2 * Y1, Y2 * Y1^-1 * Y2 * Y1, (R * Y3)^2, Y2^-2 * Y1^2, R * Y2 * R * Y1, Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1, Y3^-1 * Y1 * Y3 * Y2 * Y3 * Y1^-1, Y3 * Y2^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y3^4 * Y2^-2, Y3^2 * Y2^-1 * Y3^2 * Y1^-1, (Y2^-1 * Y3)^3, Y1^-1 * Y3 * Y1^2 * Y3^-1 * Y1^-1, Y2^-1 * Y3^-1 * Y1^-1 * Y2 * Y3^-1 * Y1^-1, Y3^-1 * Y2 * Y3^-1 * Y1^-1 * Y3 * Y1^-1, Y3^-2 * Y1^-1 * Y3^2 * Y2, Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3, Y3^-2 * Y1^-1 * Y3^-2 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148, 17, 65, 113, 161, 30, 78, 126, 174, 8, 56, 104, 152, 29, 77, 125, 173, 28, 76, 124, 172, 7, 55, 103, 151)(2, 50, 98, 146, 10, 58, 106, 154, 35, 83, 131, 179, 21, 69, 117, 165, 5, 53, 101, 149, 20, 68, 116, 164, 44, 92, 140, 188, 12, 60, 108, 156)(3, 51, 99, 147, 13, 61, 109, 157, 45, 93, 141, 189, 23, 71, 119, 167, 6, 54, 102, 150, 22, 70, 118, 166, 46, 94, 142, 190, 14, 62, 110, 158)(9, 57, 105, 153, 31, 79, 127, 175, 47, 95, 143, 191, 39, 87, 135, 183, 11, 59, 107, 155, 38, 86, 134, 182, 48, 96, 144, 192, 32, 80, 128, 176)(15, 63, 111, 159, 42, 90, 138, 186, 27, 75, 123, 171, 37, 85, 133, 181, 18, 66, 114, 162, 40, 88, 136, 184, 25, 73, 121, 169, 34, 82, 130, 178)(16, 64, 112, 160, 36, 84, 132, 180, 26, 74, 122, 170, 41, 89, 137, 185, 19, 67, 115, 163, 33, 81, 129, 177, 24, 72, 120, 168, 43, 91, 139, 187)
	L = (1, 50)(2, 56)(3, 59)(4, 63)(5, 49)(6, 57)(7, 72)(8, 53)(9, 51)(10, 81)(11, 54)(12, 88)(13, 91)(14, 85)(15, 77)(16, 87)(17, 93)(18, 52)(19, 80)(20, 84)(21, 90)(22, 89)(23, 82)(24, 78)(25, 86)(26, 55)(27, 79)(28, 94)(29, 66)(30, 74)(31, 73)(32, 64)(33, 68)(34, 62)(35, 95)(36, 58)(37, 71)(38, 75)(39, 67)(40, 69)(41, 61)(42, 60)(43, 70)(44, 96)(45, 76)(46, 65)(47, 92)(48, 83)(97, 147)(98, 153)(99, 152)(100, 160)(101, 155)(102, 145)(103, 169)(104, 150)(105, 149)(106, 178)(107, 146)(108, 185)(109, 184)(110, 177)(111, 176)(112, 173)(113, 179)(114, 183)(115, 148)(116, 181)(117, 187)(118, 186)(119, 180)(120, 175)(121, 174)(122, 182)(123, 151)(124, 188)(125, 163)(126, 171)(127, 170)(128, 162)(129, 167)(130, 164)(131, 172)(132, 158)(133, 154)(134, 168)(135, 159)(136, 166)(137, 165)(138, 157)(139, 156)(140, 161)(141, 192)(142, 191)(143, 189)(144, 190)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.686
Transitivity :: VT+
Graph::
	v = 6 e = 96 f = 36
	degree seq :: [ 32^6 ]

E28.694 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 8})
Quotient :: dipole
Aut^+ = (C3 : C8) : C2 (small group id <48, 16>)
Aut   = (D8 x S3) : C2 (small group id <96, 118>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^4, (R * Y1)^2, Y3 * Y1 * Y3^-1 * Y1, Y2^-1 * Y1^-1 * Y2 * Y1^-1, (R * Y3)^2, Y3 * Y1^-1 * Y2^-1 * Y3 * Y2^-1, Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y3^-3 * Y2^-2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 12, 60, 8, 56)(4, 52, 16, 64, 9, 57)(6, 54, 20, 68, 10, 58)(7, 55, 21, 69, 11, 59)(13, 61, 27, 75, 34, 82)(14, 62, 28, 76, 25, 73)(15, 63, 29, 77, 19, 67)(17, 65, 23, 71, 32, 80)(18, 66, 30, 78, 41, 89)(22, 70, 31, 79, 24, 72)(26, 74, 33, 81, 44, 92)(35, 83, 47, 95, 39, 87)(36, 84, 46, 94, 38, 86)(37, 85, 42, 90, 45, 93)(40, 88, 43, 91, 48, 96)(97, 145, 99, 147, 109, 157, 102, 150)(98, 146, 104, 152, 123, 171, 106, 154)(100, 148, 113, 161, 131, 179, 115, 163)(101, 149, 108, 156, 130, 178, 116, 164)(103, 151, 120, 168, 132, 180, 121, 169)(105, 153, 119, 167, 135, 183, 111, 159)(107, 155, 118, 166, 134, 182, 110, 158)(112, 160, 128, 176, 143, 191, 125, 173)(114, 162, 136, 184, 122, 170, 133, 181)(117, 165, 127, 175, 142, 190, 124, 172)(126, 174, 144, 192, 129, 177, 141, 189)(137, 185, 139, 187, 140, 188, 138, 186)
	L = (1, 100)(2, 105)(3, 110)(4, 114)(5, 112)(6, 118)(7, 97)(8, 124)(9, 126)(10, 127)(11, 98)(12, 121)(13, 131)(14, 133)(15, 99)(16, 137)(17, 116)(18, 132)(19, 108)(20, 120)(21, 101)(22, 136)(23, 102)(24, 139)(25, 138)(26, 103)(27, 135)(28, 141)(29, 104)(30, 134)(31, 144)(32, 106)(33, 107)(34, 143)(35, 122)(36, 109)(37, 119)(38, 123)(39, 129)(40, 111)(41, 142)(42, 113)(43, 115)(44, 117)(45, 128)(46, 130)(47, 140)(48, 125)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12, 16, 12, 16, 12, 16 ), ( 12, 16, 12, 16, 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.700
Graph:: simple bipartite
	v = 28 e = 96 f = 14
	degree seq :: [ 6^16, 8^12 ]

E28.695 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 8})
Quotient :: dipole
Aut^+ = (C3 : C8) : C2 (small group id <48, 16>)
Aut   = (D8 x S3) : C2 (small group id <96, 118>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^4, Y2^4, Y3^-1 * Y1^-1 * Y3 * Y1^-1, (R * Y3)^2, (R * Y1)^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y3, Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y2 * Y3^4 * Y2, (Y2^-1 * Y1 * Y3)^2, (Y2 * Y1 * Y3^-1)^2, (Y2 * Y1 * Y3)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 12, 60, 8, 56)(4, 52, 16, 64, 9, 57)(6, 54, 20, 68, 10, 58)(7, 55, 21, 69, 11, 59)(13, 61, 27, 75, 34, 82)(14, 62, 25, 73, 32, 80)(15, 63, 19, 67, 30, 78)(17, 65, 28, 76, 23, 71)(18, 66, 29, 77, 41, 89)(22, 70, 24, 72, 31, 79)(26, 74, 33, 81, 44, 92)(35, 83, 39, 87, 45, 93)(36, 84, 38, 86, 46, 94)(37, 85, 47, 95, 42, 90)(40, 88, 48, 96, 43, 91)(97, 145, 99, 147, 109, 157, 102, 150)(98, 146, 104, 152, 123, 171, 106, 154)(100, 148, 113, 161, 131, 179, 115, 163)(101, 149, 108, 156, 130, 178, 116, 164)(103, 151, 120, 168, 132, 180, 121, 169)(105, 153, 124, 172, 141, 189, 126, 174)(107, 155, 127, 175, 142, 190, 128, 176)(110, 158, 117, 165, 118, 166, 134, 182)(111, 159, 112, 160, 119, 167, 135, 183)(114, 162, 136, 184, 122, 170, 133, 181)(125, 173, 139, 187, 129, 177, 138, 186)(137, 185, 144, 192, 140, 188, 143, 191)
	L = (1, 100)(2, 105)(3, 110)(4, 114)(5, 112)(6, 118)(7, 97)(8, 121)(9, 125)(10, 120)(11, 98)(12, 128)(13, 131)(14, 133)(15, 99)(16, 137)(17, 106)(18, 132)(19, 104)(20, 127)(21, 101)(22, 136)(23, 102)(24, 139)(25, 138)(26, 103)(27, 141)(28, 116)(29, 142)(30, 108)(31, 144)(32, 143)(33, 107)(34, 135)(35, 122)(36, 109)(37, 119)(38, 130)(39, 140)(40, 111)(41, 134)(42, 113)(43, 115)(44, 117)(45, 129)(46, 123)(47, 124)(48, 126)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12, 16, 12, 16, 12, 16 ), ( 12, 16, 12, 16, 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.701
Graph:: simple bipartite
	v = 28 e = 96 f = 14
	degree seq :: [ 6^16, 8^12 ]

E28.696 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 8})
Quotient :: dipole
Aut^+ = (C3 : C8) : C2 (small group id <48, 16>)
Aut   = (D8 x S3) : C2 (small group id <96, 118>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^2, Y1^-1 * Y3^-1 * Y2^2, (R * Y1)^2, Y3^-1 * Y1^2 * Y3^-1, Y2^2 * Y1 * Y3, Y1^4, (R * Y3)^2, Y3^-1 * Y2^-2 * Y1 * Y3^-1 * Y1, (Y3 * Y2^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y3 * Y1^-1)^2, Y2^4 * Y3^-1 * Y1^-1, Y1^-1 * Y2^-1 * Y3 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-1 * R * Y3^-1 * Y1^-1 * R * Y2^-1, Y2 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y3^-1, Y2^-1 * Y1^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y3 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 25, 73, 16, 64)(4, 52, 14, 62, 7, 55, 19, 67)(6, 54, 22, 70, 26, 74, 23, 71)(9, 57, 27, 75, 21, 69, 30, 78)(10, 58, 28, 76, 12, 60, 32, 80)(11, 59, 34, 82, 18, 66, 35, 83)(15, 63, 33, 81, 17, 65, 36, 84)(20, 68, 29, 77, 24, 72, 31, 79)(37, 85, 47, 95, 41, 89, 43, 91)(38, 86, 46, 94, 39, 87, 48, 96)(40, 88, 44, 92, 42, 90, 45, 93)(97, 145, 99, 147, 110, 158, 129, 177, 106, 154, 102, 150)(98, 146, 105, 153, 124, 172, 120, 168, 103, 151, 107, 155)(100, 148, 114, 162, 101, 149, 117, 165, 128, 176, 116, 164)(104, 152, 121, 169, 115, 163, 132, 180, 108, 156, 122, 170)(109, 157, 133, 181, 118, 166, 138, 186, 113, 161, 134, 182)(111, 159, 135, 183, 112, 160, 137, 185, 119, 167, 136, 184)(123, 171, 139, 187, 130, 178, 144, 192, 127, 175, 140, 188)(125, 173, 141, 189, 126, 174, 143, 191, 131, 179, 142, 190)
	L = (1, 100)(2, 106)(3, 111)(4, 104)(5, 108)(6, 112)(7, 97)(8, 103)(9, 125)(10, 101)(11, 126)(12, 98)(13, 102)(14, 128)(15, 121)(16, 122)(17, 99)(18, 123)(19, 124)(20, 130)(21, 127)(22, 129)(23, 132)(24, 131)(25, 113)(26, 109)(27, 107)(28, 110)(29, 117)(30, 114)(31, 105)(32, 115)(33, 119)(34, 120)(35, 116)(36, 118)(37, 140)(38, 139)(39, 143)(40, 142)(41, 141)(42, 144)(43, 135)(44, 137)(45, 133)(46, 138)(47, 134)(48, 136)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 16, 6, 16, 6, 16, 6, 16 ), ( 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.698
Graph:: bipartite
	v = 20 e = 96 f = 22
	degree seq :: [ 8^12, 12^8 ]

E28.697 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 8})
Quotient :: dipole
Aut^+ = (C3 : C8) : C2 (small group id <48, 16>)
Aut   = (D8 x S3) : C2 (small group id <96, 118>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1^-1 * Y3^-1, Y1^-2 * Y3^2, Y1^-2 * Y3^-2, Y3 * Y2^-2 * Y1, Y1^4, Y3^4, (R * Y3)^2, (R * Y1)^2, Y2 * Y1 * Y2^-2 * Y3 * Y2, Y3^-1 * Y2^4 * Y1^-1, Y1 * Y2^-1 * Y3 * Y1^-1 * Y2^-1 * Y3^-1, Y3^-1 * Y2^-1 * Y3^2 * Y2^-1 * Y1, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1^-1, Y2^-1 * R * Y1 * Y3 * R * Y2^-1, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y3 * Y2^-1 * Y1^-1, Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y3 * Y2 * Y1, Y3^-1 * Y1 * Y2 * Y1^-1 * Y2 * Y1^2 * Y2^-1 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 25, 73, 15, 63)(4, 52, 17, 65, 7, 55, 19, 67)(6, 54, 16, 64, 26, 74, 14, 62)(9, 57, 27, 75, 20, 68, 29, 77)(10, 58, 31, 79, 12, 60, 33, 81)(11, 59, 30, 78, 21, 69, 28, 76)(18, 66, 34, 82, 24, 72, 35, 83)(22, 70, 32, 80, 23, 71, 36, 84)(37, 85, 46, 94, 40, 88, 43, 91)(38, 86, 45, 93, 41, 89, 48, 96)(39, 87, 44, 92, 42, 90, 47, 95)(97, 145, 99, 147, 106, 154, 128, 176, 113, 161, 102, 150)(98, 146, 105, 153, 103, 151, 120, 168, 127, 175, 107, 155)(100, 148, 114, 162, 129, 177, 117, 165, 101, 149, 116, 164)(104, 152, 121, 169, 108, 156, 132, 180, 115, 163, 122, 170)(109, 157, 133, 181, 112, 160, 138, 186, 119, 167, 134, 182)(110, 158, 135, 183, 118, 166, 137, 185, 111, 159, 136, 184)(123, 171, 139, 187, 126, 174, 144, 192, 131, 179, 140, 188)(124, 172, 141, 189, 130, 178, 143, 191, 125, 173, 142, 190)
	L = (1, 100)(2, 106)(3, 110)(4, 104)(5, 108)(6, 118)(7, 97)(8, 103)(9, 124)(10, 101)(11, 130)(12, 98)(13, 128)(14, 121)(15, 132)(16, 99)(17, 129)(18, 123)(19, 127)(20, 126)(21, 131)(22, 122)(23, 102)(24, 125)(25, 112)(26, 119)(27, 120)(28, 116)(29, 114)(30, 105)(31, 113)(32, 111)(33, 115)(34, 117)(35, 107)(36, 109)(37, 144)(38, 140)(39, 142)(40, 141)(41, 143)(42, 139)(43, 135)(44, 137)(45, 133)(46, 138)(47, 134)(48, 136)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 16, 6, 16, 6, 16, 6, 16 ), ( 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.699
Graph:: bipartite
	v = 20 e = 96 f = 22
	degree seq :: [ 8^12, 12^8 ]

E28.698 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 8})
Quotient :: dipole
Aut^+ = (C3 : C8) : C2 (small group id <48, 16>)
Aut   = (D8 x S3) : C2 (small group id <96, 118>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y2 * Y1 * Y2 * Y1^-1, R * Y2 * R * Y2^-1, (R * Y1)^2, Y3^4, (R * Y3)^2, Y3^-1 * Y2 * Y3 * Y2, Y3 * Y1^-1 * Y3 * Y2 * Y1^-1, Y3 * Y1 * Y3 * Y2 * Y1, Y1^-1 * Y3^2 * Y1^-3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 27, 75, 18, 66, 34, 82, 22, 70, 5, 53)(3, 51, 11, 59, 28, 76, 41, 89, 38, 86, 43, 91, 39, 87, 14, 62)(4, 52, 16, 64, 31, 79, 26, 74, 7, 55, 25, 73, 29, 77, 19, 67)(6, 54, 9, 57, 30, 78, 45, 93, 42, 90, 48, 96, 44, 92, 20, 68)(10, 58, 24, 72, 21, 69, 36, 84, 12, 60, 17, 65, 23, 71, 35, 83)(13, 61, 37, 85, 47, 95, 32, 80, 15, 63, 40, 88, 46, 94, 33, 81)(97, 145, 99, 147, 102, 150)(98, 146, 105, 153, 107, 155)(100, 148, 113, 161, 109, 157)(101, 149, 116, 164, 110, 158)(103, 151, 120, 168, 111, 159)(104, 152, 124, 172, 126, 174)(106, 154, 122, 170, 128, 176)(108, 156, 115, 163, 129, 177)(112, 160, 133, 181, 119, 167)(114, 162, 134, 182, 138, 186)(117, 165, 121, 169, 136, 184)(118, 166, 135, 183, 140, 188)(123, 171, 141, 189, 137, 185)(125, 173, 132, 180, 142, 190)(127, 175, 131, 179, 143, 191)(130, 178, 144, 192, 139, 187)
	L = (1, 100)(2, 106)(3, 109)(4, 114)(5, 117)(6, 113)(7, 97)(8, 125)(9, 128)(10, 130)(11, 122)(12, 98)(13, 134)(14, 121)(15, 99)(16, 110)(17, 138)(18, 103)(19, 107)(20, 136)(21, 123)(22, 127)(23, 101)(24, 102)(25, 137)(26, 139)(27, 119)(28, 142)(29, 118)(30, 132)(31, 104)(32, 144)(33, 105)(34, 108)(35, 126)(36, 140)(37, 116)(38, 111)(39, 143)(40, 141)(41, 112)(42, 120)(43, 115)(44, 131)(45, 133)(46, 135)(47, 124)(48, 129)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 12, 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.696
Graph:: simple bipartite
	v = 22 e = 96 f = 20
	degree seq :: [ 6^16, 16^6 ]

E28.699 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 8})
Quotient :: dipole
Aut^+ = (C3 : C8) : C2 (small group id <48, 16>)
Aut   = (D8 x S3) : C2 (small group id <96, 118>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y2^3, Y2 * Y1^-1 * Y2 * Y1, Y3^-1 * Y2^-1 * Y3 * Y2^-1, (R * Y3)^2, (R * Y1)^2, R * Y2 * R * Y2^-1, Y3^4, Y3^-1 * Y1 * Y3^-1 * Y2^-1 * Y1, Y1 * Y2 * Y3 * Y1 * Y3, Y3 * Y1^2 * Y3 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 27, 75, 18, 66, 33, 81, 22, 70, 5, 53)(3, 51, 11, 59, 28, 76, 45, 93, 37, 85, 48, 96, 39, 87, 14, 62)(4, 52, 16, 64, 31, 79, 26, 74, 7, 55, 25, 73, 29, 77, 19, 67)(6, 54, 9, 57, 30, 78, 41, 89, 42, 90, 43, 91, 44, 92, 20, 68)(10, 58, 15, 63, 21, 69, 36, 84, 12, 60, 13, 61, 23, 71, 34, 82)(17, 65, 40, 88, 47, 95, 32, 80, 24, 72, 38, 86, 46, 94, 35, 83)(97, 145, 99, 147, 102, 150)(98, 146, 105, 153, 107, 155)(100, 148, 113, 161, 109, 157)(101, 149, 116, 164, 110, 158)(103, 151, 120, 168, 111, 159)(104, 152, 124, 172, 126, 174)(106, 154, 128, 176, 122, 170)(108, 156, 131, 179, 115, 163)(112, 160, 119, 167, 136, 184)(114, 162, 133, 181, 138, 186)(117, 165, 134, 182, 121, 169)(118, 166, 135, 183, 140, 188)(123, 171, 137, 185, 141, 189)(125, 173, 142, 190, 132, 180)(127, 175, 143, 191, 130, 178)(129, 177, 139, 187, 144, 192)
	L = (1, 100)(2, 106)(3, 109)(4, 114)(5, 117)(6, 113)(7, 97)(8, 125)(9, 122)(10, 129)(11, 128)(12, 98)(13, 133)(14, 134)(15, 99)(16, 116)(17, 138)(18, 103)(19, 105)(20, 121)(21, 123)(22, 127)(23, 101)(24, 102)(25, 137)(26, 139)(27, 119)(28, 132)(29, 118)(30, 142)(31, 104)(32, 144)(33, 108)(34, 124)(35, 107)(36, 135)(37, 111)(38, 141)(39, 130)(40, 110)(41, 112)(42, 120)(43, 115)(44, 143)(45, 136)(46, 140)(47, 126)(48, 131)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 12, 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.697
Graph:: simple bipartite
	v = 22 e = 96 f = 20
	degree seq :: [ 6^16, 16^6 ]

E28.700 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 8})
Quotient :: dipole
Aut^+ = (C3 : C8) : C2 (small group id <48, 16>)
Aut   = (D8 x S3) : C2 (small group id <96, 118>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3 * Y1^-2, Y3^2 * Y2^-2, (Y3^-1 * R)^2, (R * Y1)^2, Y3^-1 * Y1^-2 * Y2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y3 * Y1^4 * Y2^-1, Y2 * Y1 * Y3^-3 * Y1^-1, Y3^-1 * Y1^-1 * Y2^2 * Y3 * Y1^-1, Y3 * Y1 * Y2^-2 * Y3^-1 * Y1, Y2 * Y1^-1 * Y2^-3 * Y1^-1, Y2^2 * Y1 * Y2^2 * Y1^-1, (Y2 * Y1)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 28, 76, 19, 67, 5, 53)(3, 51, 13, 61, 4, 52, 17, 65, 29, 77, 16, 64)(6, 54, 22, 70, 7, 55, 26, 74, 30, 78, 23, 71)(9, 57, 31, 79, 10, 58, 35, 83, 20, 68, 34, 82)(11, 59, 37, 85, 12, 60, 41, 89, 21, 69, 38, 86)(14, 62, 39, 87, 15, 63, 40, 88, 18, 66, 42, 90)(24, 72, 32, 80, 25, 73, 33, 81, 27, 75, 36, 84)(43, 91, 46, 94, 44, 92, 47, 95, 45, 93, 48, 96)(97, 145, 99, 147, 110, 158, 127, 175, 142, 190, 133, 181, 120, 168, 102, 150)(98, 146, 105, 153, 128, 176, 112, 160, 140, 188, 119, 167, 135, 183, 107, 155)(100, 148, 114, 162, 131, 179, 144, 192, 137, 185, 123, 171, 103, 151, 115, 163)(101, 149, 106, 154, 132, 180, 109, 157, 139, 187, 118, 166, 138, 186, 108, 156)(104, 152, 125, 173, 111, 159, 130, 178, 143, 191, 134, 182, 121, 169, 126, 174)(113, 161, 141, 189, 122, 170, 136, 184, 117, 165, 124, 172, 116, 164, 129, 177)
	L = (1, 100)(2, 106)(3, 111)(4, 110)(5, 116)(6, 104)(7, 97)(8, 99)(9, 129)(10, 128)(11, 124)(12, 98)(13, 140)(14, 131)(15, 127)(16, 141)(17, 139)(18, 130)(19, 125)(20, 132)(21, 101)(22, 135)(23, 136)(24, 103)(25, 102)(26, 138)(27, 126)(28, 105)(29, 114)(30, 115)(31, 143)(32, 109)(33, 112)(34, 144)(35, 142)(36, 113)(37, 121)(38, 123)(39, 108)(40, 107)(41, 120)(42, 117)(43, 122)(44, 118)(45, 119)(46, 137)(47, 133)(48, 134)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.694
Graph:: bipartite
	v = 14 e = 96 f = 28
	degree seq :: [ 12^8, 16^6 ]

E28.701 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 8})
Quotient :: dipole
Aut^+ = (C3 : C8) : C2 (small group id <48, 16>)
Aut   = (D8 x S3) : C2 (small group id <96, 118>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-2 * Y3, Y1^2 * Y2^-1 * Y3, Y2^2 * Y3^-2, Y2^-1 * Y1^-2 * Y3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2^-2 * Y3^-1 * Y1^-1 * Y3, Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y1 * Y2 * Y3^2 * Y1^-1, Y2^2 * Y3 * Y1 * Y3^-1 * Y1, Y3 * Y1^-4 * Y2^-1, Y2^3 * Y1^-1 * Y2^-1 * Y1^-1, Y3^3 * Y1 * Y2^-1 * Y1^-1, Y2 * Y3 * Y2 * Y1 * Y3^-1 * Y1^-1, (Y1 * Y2 * Y1^-1 * Y3)^2, (Y2 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 28, 76, 17, 65, 5, 53)(3, 51, 13, 61, 29, 77, 19, 67, 4, 52, 16, 64)(6, 54, 22, 70, 30, 78, 26, 74, 7, 55, 23, 71)(9, 57, 31, 79, 20, 68, 36, 84, 10, 58, 34, 82)(11, 59, 37, 85, 21, 69, 41, 89, 12, 60, 38, 86)(14, 62, 39, 87, 18, 66, 42, 90, 15, 63, 40, 88)(24, 72, 32, 80, 27, 75, 35, 83, 25, 73, 33, 81)(43, 91, 46, 94, 45, 93, 48, 96, 44, 92, 47, 95)(97, 145, 99, 147, 110, 158, 127, 175, 142, 190, 133, 181, 120, 168, 102, 150)(98, 146, 105, 153, 128, 176, 112, 160, 141, 189, 119, 167, 135, 183, 107, 155)(100, 148, 114, 162, 130, 178, 144, 192, 134, 182, 123, 171, 103, 151, 104, 152)(101, 149, 116, 164, 129, 177, 109, 157, 139, 187, 118, 166, 136, 184, 117, 165)(106, 154, 131, 179, 115, 163, 140, 188, 122, 170, 138, 186, 108, 156, 124, 172)(111, 159, 132, 180, 143, 191, 137, 185, 121, 169, 126, 174, 113, 161, 125, 173)
	L = (1, 100)(2, 106)(3, 111)(4, 110)(5, 105)(6, 113)(7, 97)(8, 125)(9, 129)(10, 128)(11, 101)(12, 98)(13, 140)(14, 130)(15, 127)(16, 139)(17, 99)(18, 132)(19, 141)(20, 131)(21, 124)(22, 138)(23, 136)(24, 103)(25, 102)(26, 135)(27, 126)(28, 116)(29, 114)(30, 104)(31, 143)(32, 115)(33, 112)(34, 142)(35, 109)(36, 144)(37, 121)(38, 120)(39, 108)(40, 107)(41, 123)(42, 117)(43, 119)(44, 118)(45, 122)(46, 134)(47, 133)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.695
Graph:: bipartite
	v = 14 e = 96 f = 28
	degree seq :: [ 12^8, 16^6 ]

E28.702 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 8})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^4, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, (Y3, Y1), Y2 * Y1 * Y3^-1 * Y2 * Y3^-1, Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y3^-1, (Y2 * Y1 * Y3)^2, Y3^-2 * Y2 * Y3^2 * Y2, (R * Y2 * Y3^-1)^2, Y3^-8 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 8, 56, 14, 62)(4, 52, 9, 57, 18, 66)(6, 54, 10, 58, 20, 68)(7, 55, 11, 59, 21, 69)(12, 60, 27, 75, 35, 83)(13, 61, 28, 76, 25, 73)(15, 63, 19, 67, 31, 79)(16, 64, 29, 77, 23, 71)(17, 65, 30, 78, 44, 92)(22, 70, 32, 80, 24, 72)(26, 74, 33, 81, 46, 94)(34, 82, 48, 96, 39, 87)(36, 84, 38, 86, 43, 91)(37, 85, 47, 95, 41, 89)(40, 88, 45, 93, 42, 90)(97, 145, 99, 147, 108, 156, 102, 150)(98, 146, 104, 152, 123, 171, 106, 154)(100, 148, 112, 160, 130, 178, 115, 163)(101, 149, 110, 158, 131, 179, 116, 164)(103, 151, 120, 168, 132, 180, 121, 169)(105, 153, 125, 173, 144, 192, 127, 175)(107, 155, 118, 166, 134, 182, 109, 157)(111, 159, 114, 162, 119, 167, 135, 183)(113, 161, 138, 186, 142, 190, 133, 181)(117, 165, 128, 176, 139, 187, 124, 172)(122, 170, 143, 191, 126, 174, 136, 184)(129, 177, 137, 185, 140, 188, 141, 189)
	L = (1, 100)(2, 105)(3, 109)(4, 113)(5, 114)(6, 118)(7, 97)(8, 124)(9, 126)(10, 128)(11, 98)(12, 130)(13, 133)(14, 121)(15, 99)(16, 106)(17, 139)(18, 140)(19, 104)(20, 120)(21, 101)(22, 138)(23, 102)(24, 141)(25, 137)(26, 103)(27, 144)(28, 143)(29, 116)(30, 132)(31, 110)(32, 136)(33, 107)(34, 142)(35, 135)(36, 108)(37, 125)(38, 123)(39, 129)(40, 111)(41, 112)(42, 127)(43, 131)(44, 134)(45, 115)(46, 117)(47, 119)(48, 122)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12, 16, 12, 16, 12, 16 ), ( 12, 16, 12, 16, 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.705
Graph:: simple bipartite
	v = 28 e = 96 f = 14
	degree seq :: [ 6^16, 8^12 ]

E28.703 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 8})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-3, (Y1, Y3^-1), Y2 * Y1 * Y3 * Y2, Y1^4, (R * Y3)^2, Y2^-2 * Y1^-1 * Y3^-1, (R * Y1)^2, (Y3^-1 * Y1^-1)^3, Y3 * Y2^-1 * Y3^-1 * Y1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y2 * Y1^-1)^2, Y3^-1 * Y2^-1 * Y1^2 * Y2^-1 * Y1, Y2^-1 * R * Y1 * Y3 * R * Y2^-1, Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-1, Y2 * Y1^-1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y3^-1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 25, 73, 16, 64)(4, 52, 10, 58, 26, 74, 19, 67)(6, 54, 22, 70, 27, 75, 15, 63)(7, 55, 12, 60, 28, 76, 14, 62)(9, 57, 29, 77, 21, 69, 31, 79)(11, 59, 34, 82, 18, 66, 30, 78)(17, 65, 36, 84, 23, 71, 33, 81)(20, 68, 35, 83, 24, 72, 32, 80)(37, 85, 47, 95, 41, 89, 43, 91)(38, 86, 45, 93, 39, 87, 44, 92)(40, 88, 48, 96, 42, 90, 46, 94)(97, 145, 99, 147, 110, 158, 129, 177, 106, 154, 102, 150)(98, 146, 105, 153, 103, 151, 120, 168, 122, 170, 107, 155)(100, 148, 114, 162, 101, 149, 117, 165, 124, 172, 116, 164)(104, 152, 121, 169, 108, 156, 132, 180, 115, 163, 123, 171)(109, 157, 133, 181, 113, 161, 138, 186, 118, 166, 134, 182)(111, 159, 135, 183, 112, 160, 137, 185, 119, 167, 136, 184)(125, 173, 139, 187, 128, 176, 144, 192, 130, 178, 140, 188)(126, 174, 141, 189, 127, 175, 143, 191, 131, 179, 142, 190)
	L = (1, 100)(2, 106)(3, 111)(4, 108)(5, 115)(6, 119)(7, 97)(8, 122)(9, 126)(10, 124)(11, 131)(12, 98)(13, 102)(14, 101)(15, 132)(16, 123)(17, 99)(18, 128)(19, 103)(20, 125)(21, 130)(22, 129)(23, 121)(24, 127)(25, 118)(26, 110)(27, 113)(28, 104)(29, 107)(30, 116)(31, 114)(32, 105)(33, 112)(34, 120)(35, 117)(36, 109)(37, 140)(38, 144)(39, 142)(40, 143)(41, 141)(42, 139)(43, 135)(44, 136)(45, 138)(46, 133)(47, 134)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 16, 6, 16, 6, 16, 6, 16 ), ( 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.704
Graph:: bipartite
	v = 20 e = 96 f = 22
	degree seq :: [ 8^12, 12^8 ]

E28.704 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 8})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y2^3, (Y2^-1, Y3), (R * Y1)^2, (Y2^-1, Y1^-1), (R * Y2)^2, (R * Y3)^2, Y3 * Y2 * Y1^-1 * Y3 * Y1^-1, Y3^-4 * Y2, Y2 * Y3 * Y1 * Y3 * Y1, Y1^3 * Y3^-1 * Y1^-1 * Y3, (Y3 * Y2^-1 * Y1)^2, Y3 * Y1 * Y3^-2 * Y1^-1 * Y3, Y1^-2 * Y3 * Y1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 28, 76, 39, 87, 44, 92, 21, 69, 5, 53)(3, 51, 9, 57, 29, 77, 46, 94, 27, 75, 38, 86, 40, 88, 14, 62)(4, 52, 16, 64, 35, 83, 10, 58, 24, 72, 20, 68, 30, 78, 18, 66)(6, 54, 11, 59, 31, 79, 43, 91, 17, 65, 34, 82, 45, 93, 22, 70)(7, 55, 25, 73, 37, 85, 12, 60, 13, 61, 23, 71, 32, 80, 26, 74)(15, 63, 42, 90, 48, 96, 33, 81, 19, 67, 41, 89, 47, 95, 36, 84)(97, 145, 99, 147, 102, 150)(98, 146, 105, 153, 107, 155)(100, 148, 109, 157, 115, 163)(101, 149, 110, 158, 118, 166)(103, 151, 111, 159, 120, 168)(104, 152, 125, 173, 127, 175)(106, 154, 122, 170, 132, 180)(108, 156, 129, 177, 114, 162)(112, 160, 119, 167, 137, 185)(113, 161, 135, 183, 123, 171)(116, 164, 121, 169, 138, 186)(117, 165, 136, 184, 141, 189)(124, 172, 142, 190, 139, 187)(126, 174, 133, 181, 144, 192)(128, 176, 143, 191, 131, 179)(130, 178, 140, 188, 134, 182)
	L = (1, 100)(2, 106)(3, 109)(4, 113)(5, 116)(6, 115)(7, 97)(8, 126)(9, 122)(10, 130)(11, 132)(12, 98)(13, 135)(14, 121)(15, 99)(16, 118)(17, 111)(18, 107)(19, 123)(20, 139)(21, 131)(22, 138)(23, 101)(24, 102)(25, 124)(26, 140)(27, 103)(28, 112)(29, 133)(30, 141)(31, 144)(32, 104)(33, 105)(34, 129)(35, 127)(36, 134)(37, 117)(38, 108)(39, 120)(40, 128)(41, 110)(42, 142)(43, 137)(44, 114)(45, 143)(46, 119)(47, 125)(48, 136)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 12, 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.703
Graph:: simple bipartite
	v = 22 e = 96 f = 20
	degree seq :: [ 6^16, 16^6 ]

E28.705 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 8})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-2 * Y3, Y1 * Y3^-1 * Y2 * Y1, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3^3 * Y2^-3, Y3 * Y1 * Y3^-1 * Y2^-2 * Y1^-1, Y2 * Y1^-1 * Y2^-1 * Y3^-2 * Y1^-1, Y2^-1 * Y3 * Y1^4, Y2^2 * Y1^-1 * Y2 * Y3 * Y1^-1, Y2^-2 * Y1^-1 * Y3^-2 * Y1^-1, Y3^3 * Y1 * Y2^-1 * Y1^-1, Y3^-1 * Y1^-1 * Y2 * Y3^2 * Y1^-1, Y3 * Y1 * Y2^-2 * Y3^-1 * Y1^-1, Y3^6 * Y2^2, (Y3^-3 * Y2^-1)^2, Y2^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 28, 76, 17, 65, 5, 53)(3, 51, 13, 61, 4, 52, 18, 66, 29, 77, 16, 64)(6, 54, 22, 70, 30, 78, 26, 74, 7, 55, 23, 71)(9, 57, 31, 79, 10, 58, 35, 83, 20, 68, 34, 82)(11, 59, 37, 85, 21, 69, 41, 89, 12, 60, 38, 86)(14, 62, 39, 87, 15, 63, 42, 90, 19, 67, 40, 88)(24, 72, 32, 80, 27, 75, 33, 81, 25, 73, 36, 84)(43, 91, 46, 94, 44, 92, 47, 95, 45, 93, 48, 96)(97, 145, 99, 147, 110, 158, 130, 178, 144, 192, 134, 182, 120, 168, 102, 150)(98, 146, 105, 153, 128, 176, 109, 157, 139, 187, 118, 166, 135, 183, 107, 155)(100, 148, 111, 159, 127, 175, 142, 190, 133, 181, 123, 171, 126, 174, 104, 152)(101, 149, 116, 164, 132, 180, 112, 160, 141, 189, 119, 167, 136, 184, 108, 156)(103, 151, 113, 161, 125, 173, 115, 163, 131, 179, 143, 191, 137, 185, 121, 169)(106, 154, 129, 177, 114, 162, 140, 188, 122, 170, 138, 186, 117, 165, 124, 172)
	L = (1, 100)(2, 106)(3, 111)(4, 115)(5, 105)(6, 104)(7, 97)(8, 125)(9, 129)(10, 132)(11, 124)(12, 98)(13, 140)(14, 127)(15, 131)(16, 139)(17, 99)(18, 141)(19, 130)(20, 128)(21, 101)(22, 138)(23, 135)(24, 126)(25, 102)(26, 136)(27, 103)(28, 116)(29, 110)(30, 113)(31, 143)(32, 114)(33, 112)(34, 142)(35, 144)(36, 109)(37, 121)(38, 123)(39, 117)(40, 107)(41, 120)(42, 108)(43, 122)(44, 119)(45, 118)(46, 137)(47, 134)(48, 133)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.702
Graph:: bipartite
	v = 14 e = 96 f = 28
	degree seq :: [ 12^8, 16^6 ]

E28.706 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 8})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-2, Y1^3, (R * Y3)^2, (Y1^-1, Y3), (R * Y1)^2, (Y2 * Y1)^2, Y3 * Y2 * Y3^-3 * Y2, (R * Y2 * Y3^-1)^2, (Y3^2 * Y2)^2, Y2 * Y3^-1 * Y1 * Y3^-2 * Y2^-1 * Y3, Y3^-1 * Y1 * Y2 * Y3^-2 * Y2 * Y3^-1, (Y3 * Y2^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 8, 56, 6, 54)(4, 52, 9, 57, 15, 63)(7, 55, 10, 58, 17, 65)(11, 59, 23, 71, 18, 66)(12, 60, 24, 72, 19, 67)(13, 61, 25, 73, 16, 64)(14, 62, 26, 74, 38, 86)(20, 68, 27, 75, 21, 69)(22, 70, 28, 76, 42, 90)(29, 77, 43, 91, 31, 79)(30, 78, 41, 89, 36, 84)(32, 80, 44, 92, 33, 81)(34, 82, 39, 87, 37, 85)(35, 83, 45, 93, 40, 88)(46, 94, 48, 96, 47, 95)(97, 145, 99, 147, 98, 146, 104, 152, 101, 149, 102, 150)(100, 148, 109, 157, 105, 153, 121, 169, 111, 159, 112, 160)(103, 151, 116, 164, 106, 154, 123, 171, 113, 161, 117, 165)(107, 155, 125, 173, 119, 167, 139, 187, 114, 162, 127, 175)(108, 156, 128, 176, 120, 168, 140, 188, 115, 163, 129, 177)(110, 158, 133, 181, 122, 170, 130, 178, 134, 182, 135, 183)(118, 166, 137, 185, 124, 172, 132, 180, 138, 186, 126, 174)(131, 179, 142, 190, 141, 189, 144, 192, 136, 184, 143, 191)
	L = (1, 100)(2, 105)(3, 107)(4, 110)(5, 111)(6, 114)(7, 97)(8, 119)(9, 122)(10, 98)(11, 126)(12, 99)(13, 131)(14, 125)(15, 134)(16, 136)(17, 101)(18, 132)(19, 102)(20, 135)(21, 130)(22, 103)(23, 137)(24, 104)(25, 141)(26, 139)(27, 133)(28, 106)(29, 142)(30, 121)(31, 143)(32, 138)(33, 124)(34, 108)(35, 117)(36, 109)(37, 115)(38, 127)(39, 120)(40, 123)(41, 112)(42, 113)(43, 144)(44, 118)(45, 116)(46, 129)(47, 140)(48, 128)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 16, 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.707
Graph:: bipartite
	v = 24 e = 96 f = 18
	degree seq :: [ 6^16, 12^8 ]

E28.707 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 8})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y3^3 * Y1^-1, (Y2 * Y1^-1)^2, (Y2^-1 * Y1^-1)^2, (Y3^-1, Y1^-1), Y1^4, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y1^-2, Y2^-2 * Y3^-1 * Y2 * Y3 * Y2^-1, Y2 * Y3^-1 * Y1 * Y2^-1 * Y3 * Y1^-1, (Y1^-1 * Y3^-1)^3, Y2^2 * Y1^-1 * Y2^-2 * Y1^-1, Y2^-1 * Y3 * Y2^-1 * Y1^-2 * Y3^-1, Y2^-2 * Y3 * Y2 * Y3^-1 * Y2^-1, Y3 * Y2^-2 * Y3^-1 * Y2^-2, (Y3 * Y2)^6 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 27, 75, 11, 59)(4, 52, 10, 58, 28, 76, 18, 66)(6, 54, 20, 68, 29, 77, 9, 57)(7, 55, 12, 60, 30, 78, 21, 69)(14, 62, 37, 85, 23, 71, 31, 79)(15, 63, 34, 82, 19, 67, 36, 84)(16, 64, 39, 87, 26, 74, 38, 86)(17, 65, 32, 80, 22, 70, 35, 83)(24, 72, 40, 88, 25, 73, 33, 81)(41, 89, 47, 95, 43, 91, 45, 93)(42, 90, 48, 96, 44, 92, 46, 94)(97, 145, 99, 147, 110, 158, 125, 173, 104, 152, 123, 171, 119, 167, 102, 150)(98, 146, 105, 153, 127, 175, 109, 157, 101, 149, 116, 164, 133, 181, 107, 155)(100, 148, 113, 161, 139, 187, 111, 159, 124, 172, 118, 166, 137, 185, 115, 163)(103, 151, 121, 169, 140, 188, 112, 160, 126, 174, 120, 168, 138, 186, 122, 170)(106, 154, 130, 178, 143, 191, 128, 176, 114, 162, 132, 180, 141, 189, 131, 179)(108, 156, 135, 183, 144, 192, 129, 177, 117, 165, 134, 182, 142, 190, 136, 184)
	L = (1, 100)(2, 106)(3, 111)(4, 108)(5, 114)(6, 118)(7, 97)(8, 124)(9, 128)(10, 126)(11, 132)(12, 98)(13, 130)(14, 137)(15, 135)(16, 99)(17, 129)(18, 103)(19, 134)(20, 131)(21, 101)(22, 136)(23, 139)(24, 102)(25, 125)(26, 123)(27, 115)(28, 117)(29, 113)(30, 104)(31, 141)(32, 120)(33, 105)(34, 122)(35, 121)(36, 112)(37, 143)(38, 107)(39, 109)(40, 116)(41, 144)(42, 110)(43, 142)(44, 119)(45, 138)(46, 127)(47, 140)(48, 133)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.706
Graph:: bipartite
	v = 18 e = 96 f = 24
	degree seq :: [ 8^12, 16^6 ]

E28.708 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 8})
Quotient :: dipole
Aut^+ = C2 . S4 = SL(2,3) . C2 (small group id <48, 28>)
Aut   = (C2 . S4 = SL(2,3) . C2) : C2 (small group id <96, 192>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1 * Y2^-1 * Y3^-1, (R * Y3^-1)^2, Y1 * Y3 * Y2 * Y1, (R * Y3)^2, Y2^4, (R * Y1)^2, Y1^-1 * Y2^-2 * Y3 * Y2^-1, Y3^-3 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 11, 59, 7, 55)(4, 52, 15, 63, 17, 65)(6, 54, 21, 69, 23, 71)(8, 56, 27, 75, 10, 58)(9, 57, 28, 76, 30, 78)(12, 60, 18, 66, 14, 62)(13, 61, 35, 83, 36, 84)(16, 64, 25, 73, 38, 86)(19, 67, 39, 87, 20, 68)(22, 70, 40, 88, 34, 82)(24, 72, 37, 85, 26, 74)(29, 77, 32, 80, 44, 92)(31, 79, 43, 91, 33, 81)(41, 89, 47, 95, 45, 93)(42, 90, 48, 96, 46, 94)(97, 145, 99, 147, 108, 156, 102, 150)(98, 146, 104, 152, 114, 162, 100, 148)(101, 149, 115, 163, 110, 158, 105, 153)(103, 151, 120, 168, 119, 167, 121, 169)(106, 154, 127, 175, 113, 161, 128, 176)(107, 155, 118, 166, 117, 165, 109, 157)(111, 159, 122, 170, 123, 171, 112, 160)(116, 164, 131, 179, 126, 174, 136, 184)(124, 172, 129, 177, 135, 183, 125, 173)(130, 178, 143, 191, 132, 180, 144, 192)(133, 181, 138, 186, 134, 182, 137, 185)(139, 187, 142, 190, 140, 188, 141, 189)
	L = (1, 100)(2, 105)(3, 109)(4, 112)(5, 102)(6, 118)(7, 97)(8, 122)(9, 125)(10, 98)(11, 121)(12, 104)(13, 116)(14, 99)(15, 127)(16, 119)(17, 114)(18, 115)(19, 129)(20, 101)(21, 120)(22, 126)(23, 108)(24, 137)(25, 138)(26, 103)(27, 128)(28, 131)(29, 113)(30, 110)(31, 141)(32, 142)(33, 106)(34, 107)(35, 143)(36, 117)(37, 111)(38, 123)(39, 136)(40, 144)(41, 130)(42, 132)(43, 124)(44, 135)(45, 134)(46, 133)(47, 140)(48, 139)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12, 16, 12, 16, 12, 16 ), ( 12, 16, 12, 16, 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.714
Graph:: bipartite
	v = 28 e = 96 f = 14
	degree seq :: [ 6^16, 8^12 ]

E28.709 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 8})
Quotient :: dipole
Aut^+ = C2 . S4 = SL(2,3) . C2 (small group id <48, 28>)
Aut   = (C2 . S4 = SL(2,3) . C2) : C2 (small group id <96, 192>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^4, (R * Y1)^2, (R * Y3)^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, R * Y2 * R * Y2^-1 * Y1, Y3^-2 * Y2^-1 * Y3 * Y1, Y3^2 * Y2 * Y3 * Y1, Y1^-1 * Y2 * Y3 * Y2 * Y3^-1, Y3 * Y2^-1 * Y1^-1 * Y3 * Y2 * Y1^-1, Y3 * Y1^-1 * Y2^-2 * Y3 * Y1^-1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 12, 60, 8, 56)(4, 52, 16, 64, 19, 67)(6, 54, 22, 70, 10, 58)(7, 55, 26, 74, 28, 76)(9, 57, 34, 82, 35, 83)(11, 59, 38, 86, 40, 88)(13, 61, 31, 79, 42, 90)(14, 62, 30, 78, 45, 93)(15, 63, 36, 84, 29, 77)(17, 65, 41, 89, 33, 81)(18, 66, 43, 91, 24, 72)(20, 68, 39, 87, 37, 85)(21, 69, 47, 95, 44, 92)(23, 71, 46, 94, 48, 96)(25, 73, 32, 80, 27, 75)(97, 145, 99, 147, 109, 157, 102, 150)(98, 146, 104, 152, 127, 175, 106, 154)(100, 148, 113, 161, 134, 182, 116, 164)(101, 149, 108, 156, 138, 186, 118, 166)(103, 151, 123, 171, 140, 188, 125, 173)(105, 153, 120, 168, 142, 190, 110, 158)(107, 155, 135, 183, 115, 163, 137, 185)(111, 159, 124, 172, 121, 169, 143, 191)(112, 160, 129, 177, 136, 184, 133, 181)(114, 162, 119, 167, 126, 174, 131, 179)(117, 165, 132, 180, 122, 170, 128, 176)(130, 178, 139, 187, 144, 192, 141, 189)
	L = (1, 100)(2, 105)(3, 110)(4, 114)(5, 117)(6, 120)(7, 97)(8, 128)(9, 125)(10, 132)(11, 98)(12, 116)(13, 134)(14, 112)(15, 99)(16, 121)(17, 124)(18, 140)(19, 127)(20, 143)(21, 137)(22, 113)(23, 101)(24, 136)(25, 102)(26, 135)(27, 107)(28, 139)(29, 115)(30, 103)(31, 142)(32, 130)(33, 104)(34, 133)(35, 138)(36, 144)(37, 106)(38, 126)(39, 119)(40, 111)(41, 131)(42, 122)(43, 108)(44, 109)(45, 118)(46, 123)(47, 141)(48, 129)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12, 16, 12, 16, 12, 16 ), ( 12, 16, 12, 16, 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.715
Graph:: simple bipartite
	v = 28 e = 96 f = 14
	degree seq :: [ 6^16, 8^12 ]

E28.710 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 8})
Quotient :: dipole
Aut^+ = C2 . S4 = SL(2,3) . C2 (small group id <48, 28>)
Aut   = (C2 . S4 = SL(2,3) . C2) : C2 (small group id <96, 192>)
|r| :: 2
Presentation :: [ R^2, Y1^4, Y2^-1 * Y1 * Y2^-1 * Y1^-1, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1 * Y2^-1, Y2^-1 * Y1 * Y3^-1 * Y1^-1 * Y3, Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2, Y1 * Y3^-1 * Y2 * Y3^-2, Y3 * Y1 * Y3^-2 * Y2^-1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2^-2 * Y3^-2 * Y1^-1, Y1^-1 * R * Y3^-1 * Y2^-1 * R * Y2^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 11, 59, 26, 74, 15, 63)(4, 52, 17, 65, 33, 81, 20, 68)(6, 54, 9, 57, 13, 61, 22, 70)(7, 55, 28, 76, 34, 82, 30, 78)(10, 58, 36, 84, 23, 71, 21, 69)(12, 60, 41, 89, 24, 72, 16, 64)(14, 62, 44, 92, 31, 79, 45, 93)(18, 66, 40, 88, 27, 75, 37, 85)(19, 67, 43, 91, 32, 80, 25, 73)(29, 77, 39, 87, 38, 86, 46, 94)(35, 83, 47, 95, 42, 90, 48, 96)(97, 145, 99, 147, 109, 157, 104, 152, 122, 170, 102, 150)(98, 146, 105, 153, 111, 159, 101, 149, 118, 166, 107, 155)(100, 148, 114, 162, 132, 180, 129, 177, 123, 171, 117, 165)(103, 151, 125, 173, 110, 158, 130, 178, 134, 182, 127, 175)(106, 154, 133, 181, 116, 164, 119, 167, 136, 184, 113, 161)(108, 156, 115, 163, 131, 179, 120, 168, 128, 176, 138, 186)(112, 160, 143, 191, 139, 187, 137, 185, 144, 192, 121, 169)(124, 172, 141, 189, 142, 190, 126, 174, 140, 188, 135, 183)
	L = (1, 100)(2, 106)(3, 110)(4, 115)(5, 119)(6, 121)(7, 97)(8, 129)(9, 131)(10, 134)(11, 135)(12, 98)(13, 139)(14, 113)(15, 142)(16, 99)(17, 137)(18, 109)(19, 130)(20, 112)(21, 124)(22, 138)(23, 125)(24, 101)(25, 141)(26, 127)(27, 102)(28, 105)(29, 108)(30, 118)(31, 116)(32, 103)(33, 128)(34, 104)(35, 132)(36, 126)(37, 111)(38, 120)(39, 144)(40, 107)(41, 122)(42, 117)(43, 140)(44, 123)(45, 114)(46, 143)(47, 136)(48, 133)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 16, 6, 16, 6, 16, 6, 16 ), ( 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.713
Graph:: bipartite
	v = 20 e = 96 f = 22
	degree seq :: [ 8^12, 12^8 ]

E28.711 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 8})
Quotient :: dipole
Aut^+ = C2 . S4 = SL(2,3) . C2 (small group id <48, 28>)
Aut   = (C2 . S4 = SL(2,3) . C2) : C2 (small group id <96, 192>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1 * Y2^-1, (R * Y3^-1)^2, (R * Y1)^2, Y3^-1 * Y1^-1 * Y2^2, Y1^4, (R * Y3)^2, Y1^-1 * Y2^-3 * Y1^-1, Y3^3 * Y1^-1 * Y2^-1, Y2 * Y3^3 * Y1 * Y2, Y1 * Y3^-2 * Y2 * Y3 * Y2^-1, Y3^-1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1^-1 * Y3^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 12, 60, 23, 71, 7, 55)(4, 52, 15, 63, 19, 67, 17, 65)(6, 54, 14, 62, 10, 58, 22, 70)(9, 57, 20, 68, 18, 66, 11, 59)(13, 61, 32, 80, 25, 73, 34, 82)(16, 64, 31, 79, 26, 74, 24, 72)(21, 69, 29, 77, 28, 76, 41, 89)(27, 75, 43, 91, 30, 78, 44, 92)(33, 81, 42, 90, 36, 84, 35, 83)(37, 85, 40, 88, 39, 87, 38, 86)(45, 93, 48, 96, 47, 95, 46, 94)(97, 145, 99, 147, 106, 154, 104, 152, 119, 167, 102, 150)(98, 146, 105, 153, 115, 163, 101, 149, 114, 162, 100, 148)(103, 151, 120, 168, 109, 157, 108, 156, 127, 175, 121, 169)(107, 155, 125, 173, 123, 171, 116, 164, 137, 185, 126, 174)(110, 158, 131, 179, 124, 172, 118, 166, 138, 186, 117, 165)(111, 159, 133, 181, 122, 170, 113, 161, 135, 183, 112, 160)(128, 176, 141, 189, 132, 180, 130, 178, 143, 191, 129, 177)(134, 182, 140, 188, 144, 192, 136, 184, 139, 187, 142, 190)
	L = (1, 100)(2, 106)(3, 109)(4, 112)(5, 102)(6, 117)(7, 97)(8, 115)(9, 123)(10, 124)(11, 98)(12, 104)(13, 129)(14, 99)(15, 105)(16, 108)(17, 114)(18, 126)(19, 122)(20, 101)(21, 107)(22, 119)(23, 121)(24, 135)(25, 132)(26, 103)(27, 136)(28, 116)(29, 131)(30, 134)(31, 133)(32, 127)(33, 118)(34, 120)(35, 143)(36, 110)(37, 144)(38, 111)(39, 142)(40, 113)(41, 138)(42, 141)(43, 137)(44, 125)(45, 140)(46, 128)(47, 139)(48, 130)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 16, 6, 16, 6, 16, 6, 16 ), ( 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.712
Graph:: bipartite
	v = 20 e = 96 f = 22
	degree seq :: [ 8^12, 12^8 ]

E28.712 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 8})
Quotient :: dipole
Aut^+ = C2 . S4 = SL(2,3) . C2 (small group id <48, 28>)
Aut   = (C2 . S4 = SL(2,3) . C2) : C2 (small group id <96, 192>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y2^-1 * Y1 * Y2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y3 * Y1 * Y3, Y1^3 * Y2^-1 * Y3^-1, Y2 * Y1 * Y3^-3, (R * Y2 * Y3^-1)^2, (Y3 * Y2 * Y1)^2, Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y1 * Y2^-1 * Y3 * Y1^-2 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 17, 65, 36, 84, 27, 75, 22, 70, 5, 53)(3, 51, 13, 61, 39, 87, 11, 59, 30, 78, 7, 55, 28, 76, 14, 62)(4, 52, 16, 64, 33, 81, 45, 93, 23, 71, 32, 80, 47, 95, 19, 67)(6, 54, 20, 68, 24, 72, 37, 85, 10, 58, 15, 63, 43, 91, 26, 74)(9, 57, 34, 82, 46, 94, 21, 69, 42, 90, 12, 60, 40, 88, 35, 83)(18, 66, 44, 92, 38, 86, 25, 73, 31, 79, 48, 96, 41, 89, 29, 77)(97, 145, 99, 147, 102, 150)(98, 146, 105, 153, 107, 155)(100, 148, 113, 161, 116, 164)(101, 149, 111, 159, 119, 167)(103, 151, 125, 173, 122, 170)(104, 152, 128, 176, 117, 165)(106, 154, 132, 180, 126, 174)(108, 156, 137, 185, 135, 183)(109, 157, 121, 169, 133, 181)(110, 158, 123, 171, 138, 186)(112, 160, 131, 179, 118, 166)(114, 162, 141, 189, 120, 168)(115, 163, 139, 187, 127, 175)(124, 172, 130, 178, 134, 182)(129, 177, 144, 192, 142, 190)(136, 184, 143, 191, 140, 188)
	L = (1, 100)(2, 106)(3, 105)(4, 114)(5, 117)(6, 121)(7, 97)(8, 110)(9, 128)(10, 125)(11, 134)(12, 98)(13, 132)(14, 137)(15, 99)(16, 111)(17, 131)(18, 109)(19, 142)(20, 126)(21, 140)(22, 107)(23, 127)(24, 101)(25, 108)(26, 141)(27, 102)(28, 133)(29, 130)(30, 138)(31, 103)(32, 116)(33, 104)(34, 123)(35, 144)(36, 119)(37, 115)(38, 129)(39, 122)(40, 124)(41, 143)(42, 112)(43, 113)(44, 139)(45, 136)(46, 135)(47, 118)(48, 120)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 12, 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.711
Graph:: bipartite
	v = 22 e = 96 f = 20
	degree seq :: [ 6^16, 16^6 ]

E28.713 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 8})
Quotient :: dipole
Aut^+ = C2 . S4 = SL(2,3) . C2 (small group id <48, 28>)
Aut   = (C2 . S4 = SL(2,3) . C2) : C2 (small group id <96, 192>)
|r| :: 2
Presentation :: [ R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, Y1 * Y2 * Y3 * Y2^-1, Y1 * Y3^-1 * Y2 * Y3^-2, Y3^2 * Y1 * Y2^-1 * Y3, Y1^3 * Y3 * Y2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y3^-1 * Y1)^2, Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y1 * Y2 * Y1^-1 * Y3 * Y2^-1 * Y3^-1, Y2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-1 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 27, 75, 40, 88, 17, 65, 22, 70, 5, 53)(3, 51, 13, 61, 30, 78, 7, 55, 28, 76, 23, 71, 45, 93, 15, 63)(4, 52, 16, 64, 33, 81, 38, 86, 11, 59, 39, 87, 46, 94, 19, 67)(6, 54, 25, 73, 34, 82, 9, 57, 21, 69, 41, 89, 12, 60, 20, 68)(10, 58, 35, 83, 44, 92, 14, 62, 32, 80, 48, 96, 24, 72, 37, 85)(18, 66, 29, 77, 43, 91, 42, 90, 31, 79, 26, 74, 47, 95, 36, 84)(97, 145, 99, 147, 102, 150)(98, 146, 105, 153, 107, 155)(100, 148, 113, 161, 116, 164)(101, 149, 110, 158, 119, 167)(103, 151, 125, 173, 121, 169)(104, 152, 115, 163, 128, 176)(106, 154, 118, 166, 134, 182)(108, 156, 114, 162, 135, 183)(109, 157, 123, 171, 133, 181)(111, 159, 122, 170, 137, 185)(112, 160, 130, 178, 127, 175)(117, 165, 136, 184, 124, 172)(120, 168, 139, 187, 141, 189)(126, 174, 140, 188, 143, 191)(129, 177, 132, 180, 144, 192)(131, 179, 142, 190, 138, 186)
	L = (1, 100)(2, 106)(3, 110)(4, 114)(5, 117)(6, 122)(7, 97)(8, 119)(9, 99)(10, 132)(11, 127)(12, 98)(13, 139)(14, 134)(15, 136)(16, 131)(17, 128)(18, 111)(19, 105)(20, 124)(21, 125)(22, 109)(23, 143)(24, 101)(25, 135)(26, 120)(27, 102)(28, 133)(29, 140)(30, 137)(31, 103)(32, 138)(33, 104)(34, 113)(35, 141)(36, 130)(37, 115)(38, 116)(39, 144)(40, 107)(41, 112)(42, 108)(43, 129)(44, 123)(45, 121)(46, 118)(47, 142)(48, 126)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 12, 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.710
Graph:: bipartite
	v = 22 e = 96 f = 20
	degree seq :: [ 6^16, 16^6 ]

E28.714 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 8})
Quotient :: dipole
Aut^+ = C2 . S4 = SL(2,3) . C2 (small group id <48, 28>)
Aut   = (C2 . S4 = SL(2,3) . C2) : C2 (small group id <96, 192>)
|r| :: 2
Presentation :: [ R^2, (R * Y1)^2, Y3^-1 * Y1^-2 * Y2, (R * Y3)^2, Y3^-1 * Y2 * Y1 * Y3 * Y2, Y3 * Y1^-2 * Y3 * Y1, Y2 * Y3^-1 * Y2^-1 * Y1 * Y3^-1, Y1 * Y2 * Y1^-1 * Y2 * Y1, Y2 * Y1 * Y3^-1 * Y2^-1 * Y3, Y1 * Y2 * Y3^3, Y2^3 * Y1^-1 * Y3, (R * Y2 * Y3^-1)^2, (Y1^-1 * R * Y2^-1)^2, (Y3^-1 * Y2^-1)^3, Y2^2 * Y3 * Y1 * Y2^-1 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 34, 82, 21, 69, 5, 53)(3, 51, 13, 61, 11, 59, 22, 70, 12, 60, 16, 64)(4, 52, 17, 65, 23, 71, 9, 57, 24, 72, 20, 68)(6, 54, 25, 73, 7, 55, 30, 78, 10, 58, 27, 75)(14, 62, 37, 85, 39, 87, 28, 76, 31, 79, 29, 77)(15, 63, 36, 84, 35, 83, 38, 86, 42, 90, 18, 66)(19, 67, 32, 80, 26, 74, 33, 81, 46, 94, 45, 93)(40, 88, 44, 92, 43, 91, 47, 95, 48, 96, 41, 89)(97, 145, 99, 147, 110, 158, 126, 174, 130, 178, 118, 166, 124, 172, 102, 150)(98, 146, 105, 153, 131, 179, 112, 160, 117, 165, 100, 148, 114, 162, 107, 155)(101, 149, 106, 154, 122, 170, 116, 164, 104, 152, 121, 169, 141, 189, 119, 167)(103, 151, 127, 175, 136, 184, 142, 190, 123, 171, 133, 181, 143, 191, 128, 176)(108, 156, 111, 159, 137, 185, 135, 183, 109, 157, 134, 182, 139, 187, 125, 173)(113, 161, 129, 177, 144, 192, 138, 186, 120, 168, 115, 163, 140, 188, 132, 180)
	L = (1, 100)(2, 106)(3, 111)(4, 115)(5, 118)(6, 122)(7, 97)(8, 99)(9, 129)(10, 127)(11, 110)(12, 98)(13, 117)(14, 136)(15, 120)(16, 124)(17, 104)(18, 139)(19, 123)(20, 131)(21, 121)(22, 134)(23, 114)(24, 101)(25, 133)(26, 140)(27, 130)(28, 143)(29, 102)(30, 141)(31, 109)(32, 119)(33, 103)(34, 105)(35, 137)(36, 107)(37, 108)(38, 113)(39, 126)(40, 138)(41, 128)(42, 112)(43, 142)(44, 135)(45, 144)(46, 116)(47, 132)(48, 125)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.708
Graph:: bipartite
	v = 14 e = 96 f = 28
	degree seq :: [ 12^8, 16^6 ]

E28.715 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 8})
Quotient :: dipole
Aut^+ = C2 . S4 = SL(2,3) . C2 (small group id <48, 28>)
Aut   = (C2 . S4 = SL(2,3) . C2) : C2 (small group id <96, 192>)
|r| :: 2
Presentation :: [ R^2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y3^-1 * Y1^-2, Y1^-2 * Y3^-1 * Y1^-1 * Y2, Y1^-1 * Y2^-2 * Y3^-1 * Y2^-1, Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1, Y1 * Y2^3 * Y3^-1, Y1 * R * Y2 * R * Y2^-1, Y1 * Y3^-1 * Y2 * Y3 * Y2^-1, Y1 * Y2^-1 * Y3^3, Y1^-1 * Y2^-1 * Y3 * Y2 * Y3, (Y3 * Y2^-1)^3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 34, 82, 19, 67, 5, 53)(3, 51, 13, 61, 7, 55, 30, 78, 10, 58, 16, 64)(4, 52, 18, 66, 23, 71, 11, 59, 25, 73, 21, 69)(6, 54, 26, 74, 9, 57, 24, 72, 12, 60, 28, 76)(14, 62, 32, 80, 17, 65, 29, 77, 37, 85, 40, 88)(15, 63, 33, 81, 42, 90, 38, 86, 20, 68, 31, 79)(22, 70, 27, 75, 35, 83, 36, 84, 45, 93, 46, 94)(39, 87, 44, 92, 47, 95, 48, 96, 41, 89, 43, 91)(97, 145, 99, 147, 110, 158, 120, 168, 130, 178, 126, 174, 125, 173, 102, 150)(98, 146, 105, 153, 118, 166, 100, 148, 115, 163, 124, 172, 132, 180, 107, 155)(101, 149, 119, 167, 134, 182, 109, 157, 104, 152, 117, 165, 111, 159, 106, 154)(103, 151, 127, 175, 135, 183, 133, 181, 112, 160, 138, 186, 144, 192, 128, 176)(108, 156, 113, 161, 139, 187, 141, 189, 122, 170, 136, 184, 143, 191, 123, 171)(114, 162, 131, 179, 137, 185, 116, 164, 121, 169, 142, 190, 140, 188, 129, 177)
	L = (1, 100)(2, 106)(3, 111)(4, 116)(5, 120)(6, 123)(7, 97)(8, 102)(9, 125)(10, 128)(11, 129)(12, 98)(13, 133)(14, 135)(15, 137)(16, 130)(17, 99)(18, 104)(19, 109)(20, 112)(21, 132)(22, 139)(23, 118)(24, 141)(25, 101)(26, 115)(27, 121)(28, 110)(29, 144)(30, 134)(31, 119)(32, 122)(33, 103)(34, 107)(35, 105)(36, 143)(37, 108)(38, 140)(39, 131)(40, 126)(41, 136)(42, 117)(43, 138)(44, 113)(45, 114)(46, 124)(47, 127)(48, 142)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.709
Graph:: bipartite
	v = 14 e = 96 f = 28
	degree seq :: [ 12^8, 16^6 ]

E28.716 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 8, 8, 8})
Quotient :: edge^2
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2, (R * Y3)^2, R * Y2 * R * Y1, (Y1^-1 * Y3^-2)^2, Y2 * Y3 * Y1 * Y3 * Y1 * Y3, Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y2^-1, Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-2, (Y3^2 * Y1^-1)^2, Y3 * Y1^-2 * Y3 * Y1^-1 * Y2^-1, Y1^8, Y2^8, Y3^8 ]
Map:: polytopal non-degenerate
	R = (1, 49, 3, 51, 10, 58, 30, 78, 37, 85, 36, 84, 17, 65, 5, 53)(2, 50, 7, 55, 22, 70, 44, 92, 35, 83, 46, 94, 26, 74, 8, 56)(4, 52, 12, 60, 33, 81, 39, 87, 18, 66, 38, 86, 29, 77, 14, 62)(6, 54, 19, 67, 40, 88, 27, 75, 13, 61, 34, 82, 43, 91, 20, 68)(9, 57, 21, 69, 16, 64, 25, 73, 42, 90, 48, 96, 47, 95, 28, 76)(11, 59, 31, 79, 15, 63, 23, 71, 45, 93, 24, 72, 41, 89, 32, 80)(97, 98, 102, 114, 133, 131, 109, 100)(99, 105, 123, 141, 132, 138, 116, 107)(101, 111, 130, 143, 126, 137, 115, 112)(103, 117, 110, 128, 142, 144, 135, 119)(104, 120, 108, 124, 140, 127, 134, 121)(106, 125, 139, 118, 113, 129, 136, 122)(145, 146, 150, 162, 181, 179, 157, 148)(147, 153, 171, 189, 180, 186, 164, 155)(149, 159, 178, 191, 174, 185, 163, 160)(151, 165, 158, 176, 190, 192, 183, 167)(152, 168, 156, 172, 188, 175, 182, 169)(154, 173, 187, 166, 161, 177, 184, 170)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E28.723
Graph:: bipartite
	v = 18 e = 96 f = 24
	degree seq :: [ 8^12, 16^6 ]

E28.717 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 8, 8, 8})
Quotient :: edge^2
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1, (R * Y3)^2, R * Y1 * R * Y2, Y3^-2 * Y1 * Y3^-2 * Y2, (Y3^-1 * Y2 * Y1)^2, (Y1^-1 * Y3 * Y1^-1)^2, (Y1^-1 * Y3^-1 * Y2^-1)^2, (Y3 * Y1^-1)^3, Y1 * Y3 * Y2^-1 * Y3 * Y1 * Y3^-1, Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-2, (Y3^-2 * Y1^-1)^2, Y3^8, Y1^-2 * Y2^-1 * Y3^4 * Y1^-1, Y1^8, Y2^8 ]
Map:: polytopal non-degenerate
	R = (1, 49, 3, 51, 10, 58, 30, 78, 37, 85, 36, 84, 17, 65, 5, 53)(2, 50, 7, 55, 22, 70, 45, 93, 34, 82, 46, 94, 26, 74, 8, 56)(4, 52, 12, 60, 32, 80, 39, 87, 18, 66, 38, 86, 29, 77, 14, 62)(6, 54, 19, 67, 40, 88, 27, 75, 13, 61, 33, 81, 43, 91, 20, 68)(9, 57, 28, 76, 16, 64, 31, 79, 42, 90, 21, 69, 44, 92, 25, 73)(11, 59, 24, 72, 15, 63, 35, 83, 47, 95, 48, 96, 41, 89, 23, 71)(97, 98, 102, 114, 133, 130, 109, 100)(99, 105, 123, 143, 132, 138, 116, 107)(101, 111, 129, 140, 126, 137, 115, 112)(103, 117, 110, 131, 142, 124, 135, 119)(104, 120, 108, 127, 141, 144, 134, 121)(106, 125, 139, 118, 113, 128, 136, 122)(145, 146, 150, 162, 181, 178, 157, 148)(147, 153, 171, 191, 180, 186, 164, 155)(149, 159, 177, 188, 174, 185, 163, 160)(151, 165, 158, 179, 190, 172, 183, 167)(152, 168, 156, 175, 189, 192, 182, 169)(154, 173, 187, 166, 161, 176, 184, 170)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E28.722
Graph:: bipartite
	v = 18 e = 96 f = 24
	degree seq :: [ 8^12, 16^6 ]

E28.718 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 8, 8, 8})
Quotient :: edge^2
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1 * Y2^-1, Y1 * Y2^-1, Y2^2 * Y1^-2, R * Y2 * R * Y1, (R * Y3)^2, Y2^8, Y1^8, Y3 * Y1^2 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1, Y1^-2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1, (Y1^-1 * Y3 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 49, 3, 51)(2, 50, 6, 54)(4, 52, 9, 57)(5, 53, 12, 60)(7, 55, 16, 64)(8, 56, 17, 65)(10, 58, 21, 69)(11, 59, 24, 72)(13, 61, 28, 76)(14, 62, 29, 77)(15, 63, 31, 79)(18, 66, 34, 82)(19, 67, 26, 74)(20, 68, 35, 83)(22, 70, 33, 81)(23, 71, 38, 86)(25, 73, 41, 89)(27, 75, 43, 91)(30, 78, 44, 92)(32, 80, 46, 94)(36, 84, 45, 93)(37, 85, 39, 87)(40, 88, 47, 95)(42, 90, 48, 96)(97, 98, 101, 107, 119, 118, 106, 100)(99, 103, 111, 124, 134, 131, 114, 104)(102, 109, 123, 137, 129, 113, 126, 110)(105, 115, 128, 112, 120, 135, 132, 116)(108, 121, 136, 133, 117, 125, 138, 122)(127, 141, 144, 139, 130, 142, 143, 140)(145, 146, 149, 155, 167, 166, 154, 148)(147, 151, 159, 172, 182, 179, 162, 152)(150, 157, 171, 185, 177, 161, 174, 158)(153, 163, 176, 160, 168, 183, 180, 164)(156, 169, 184, 181, 165, 173, 186, 170)(175, 189, 192, 187, 178, 190, 191, 188)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 32^4 ), ( 32^8 ) }
Outer automorphisms :: reflexible
Dual of E28.721
Graph:: simple bipartite
	v = 36 e = 96 f = 6
	degree seq :: [ 4^24, 8^12 ]

E28.719 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 8, 8, 8})
Quotient :: edge^2
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1, Y1 * Y2^-1, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y1^2 * Y3 * Y2^-1 * Y1 * Y3 * Y1^-1 * Y2^-1, Y1^8, Y2^8, Y1 * Y3 * Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-1 * Y3 * Y2, Y1 * Y3 * Y2^-1 * Y1^-3 * Y3 * Y1^3 ]
Map:: non-degenerate
	R = (1, 49, 3, 51)(2, 50, 6, 54)(4, 52, 9, 57)(5, 53, 12, 60)(7, 55, 16, 64)(8, 56, 13, 61)(10, 58, 19, 67)(11, 59, 22, 70)(14, 62, 23, 71)(15, 63, 28, 76)(17, 65, 30, 78)(18, 66, 33, 81)(20, 68, 35, 83)(21, 69, 36, 84)(24, 72, 37, 85)(25, 73, 42, 90)(26, 74, 43, 91)(27, 75, 44, 92)(29, 77, 45, 93)(31, 79, 38, 86)(32, 80, 46, 94)(34, 82, 41, 89)(39, 87, 47, 95)(40, 88, 48, 96)(97, 98, 101, 107, 117, 116, 106, 100)(99, 103, 111, 123, 132, 127, 113, 104)(102, 109, 121, 137, 131, 140, 122, 110)(105, 114, 128, 134, 118, 133, 125, 112)(108, 119, 135, 129, 115, 130, 136, 120)(124, 141, 144, 138, 126, 142, 143, 139)(145, 146, 149, 155, 165, 164, 154, 148)(147, 151, 159, 171, 180, 175, 161, 152)(150, 157, 169, 185, 179, 188, 170, 158)(153, 162, 176, 182, 166, 181, 173, 160)(156, 167, 183, 177, 163, 178, 184, 168)(172, 189, 192, 186, 174, 190, 191, 187)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 32^4 ), ( 32^8 ) }
Outer automorphisms :: reflexible
Dual of E28.720
Graph:: simple bipartite
	v = 36 e = 96 f = 6
	degree seq :: [ 4^24, 8^12 ]

E28.720 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 8, 8, 8})
Quotient :: loop^2
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2, (R * Y3)^2, R * Y2 * R * Y1, (Y1^-1 * Y3^-2)^2, Y2 * Y3 * Y1 * Y3 * Y1 * Y3, Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y2^-1, Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-2, (Y3^2 * Y1^-1)^2, Y3 * Y1^-2 * Y3 * Y1^-1 * Y2^-1, Y1^8, Y2^8, Y3^8 ]
Map:: non-degenerate
	R = (1, 49, 97, 145, 3, 51, 99, 147, 10, 58, 106, 154, 30, 78, 126, 174, 37, 85, 133, 181, 36, 84, 132, 180, 17, 65, 113, 161, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 22, 70, 118, 166, 44, 92, 140, 188, 35, 83, 131, 179, 46, 94, 142, 190, 26, 74, 122, 170, 8, 56, 104, 152)(4, 52, 100, 148, 12, 60, 108, 156, 33, 81, 129, 177, 39, 87, 135, 183, 18, 66, 114, 162, 38, 86, 134, 182, 29, 77, 125, 173, 14, 62, 110, 158)(6, 54, 102, 150, 19, 67, 115, 163, 40, 88, 136, 184, 27, 75, 123, 171, 13, 61, 109, 157, 34, 82, 130, 178, 43, 91, 139, 187, 20, 68, 116, 164)(9, 57, 105, 153, 21, 69, 117, 165, 16, 64, 112, 160, 25, 73, 121, 169, 42, 90, 138, 186, 48, 96, 144, 192, 47, 95, 143, 191, 28, 76, 124, 172)(11, 59, 107, 155, 31, 79, 127, 175, 15, 63, 111, 159, 23, 71, 119, 167, 45, 93, 141, 189, 24, 72, 120, 168, 41, 89, 137, 185, 32, 80, 128, 176)
	L = (1, 50)(2, 54)(3, 57)(4, 49)(5, 63)(6, 66)(7, 69)(8, 72)(9, 75)(10, 77)(11, 51)(12, 76)(13, 52)(14, 80)(15, 82)(16, 53)(17, 81)(18, 85)(19, 64)(20, 59)(21, 62)(22, 65)(23, 55)(24, 60)(25, 56)(26, 58)(27, 93)(28, 92)(29, 91)(30, 89)(31, 86)(32, 94)(33, 88)(34, 95)(35, 61)(36, 90)(37, 83)(38, 73)(39, 71)(40, 74)(41, 67)(42, 68)(43, 70)(44, 79)(45, 84)(46, 96)(47, 78)(48, 87)(97, 146)(98, 150)(99, 153)(100, 145)(101, 159)(102, 162)(103, 165)(104, 168)(105, 171)(106, 173)(107, 147)(108, 172)(109, 148)(110, 176)(111, 178)(112, 149)(113, 177)(114, 181)(115, 160)(116, 155)(117, 158)(118, 161)(119, 151)(120, 156)(121, 152)(122, 154)(123, 189)(124, 188)(125, 187)(126, 185)(127, 182)(128, 190)(129, 184)(130, 191)(131, 157)(132, 186)(133, 179)(134, 169)(135, 167)(136, 170)(137, 163)(138, 164)(139, 166)(140, 175)(141, 180)(142, 192)(143, 174)(144, 183)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.719
Transitivity :: VT+
Graph::
	v = 6 e = 96 f = 36
	degree seq :: [ 32^6 ]

E28.721 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 8, 8, 8})
Quotient :: loop^2
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1, (R * Y3)^2, R * Y1 * R * Y2, Y3^-2 * Y1 * Y3^-2 * Y2, (Y3^-1 * Y2 * Y1)^2, (Y1^-1 * Y3 * Y1^-1)^2, (Y1^-1 * Y3^-1 * Y2^-1)^2, (Y3 * Y1^-1)^3, Y1 * Y3 * Y2^-1 * Y3 * Y1 * Y3^-1, Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-2, (Y3^-2 * Y1^-1)^2, Y3^8, Y1^-2 * Y2^-1 * Y3^4 * Y1^-1, Y1^8, Y2^8 ]
Map:: non-degenerate
	R = (1, 49, 97, 145, 3, 51, 99, 147, 10, 58, 106, 154, 30, 78, 126, 174, 37, 85, 133, 181, 36, 84, 132, 180, 17, 65, 113, 161, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 22, 70, 118, 166, 45, 93, 141, 189, 34, 82, 130, 178, 46, 94, 142, 190, 26, 74, 122, 170, 8, 56, 104, 152)(4, 52, 100, 148, 12, 60, 108, 156, 32, 80, 128, 176, 39, 87, 135, 183, 18, 66, 114, 162, 38, 86, 134, 182, 29, 77, 125, 173, 14, 62, 110, 158)(6, 54, 102, 150, 19, 67, 115, 163, 40, 88, 136, 184, 27, 75, 123, 171, 13, 61, 109, 157, 33, 81, 129, 177, 43, 91, 139, 187, 20, 68, 116, 164)(9, 57, 105, 153, 28, 76, 124, 172, 16, 64, 112, 160, 31, 79, 127, 175, 42, 90, 138, 186, 21, 69, 117, 165, 44, 92, 140, 188, 25, 73, 121, 169)(11, 59, 107, 155, 24, 72, 120, 168, 15, 63, 111, 159, 35, 83, 131, 179, 47, 95, 143, 191, 48, 96, 144, 192, 41, 89, 137, 185, 23, 71, 119, 167)
	L = (1, 50)(2, 54)(3, 57)(4, 49)(5, 63)(6, 66)(7, 69)(8, 72)(9, 75)(10, 77)(11, 51)(12, 79)(13, 52)(14, 83)(15, 81)(16, 53)(17, 80)(18, 85)(19, 64)(20, 59)(21, 62)(22, 65)(23, 55)(24, 60)(25, 56)(26, 58)(27, 95)(28, 87)(29, 91)(30, 89)(31, 93)(32, 88)(33, 92)(34, 61)(35, 94)(36, 90)(37, 82)(38, 73)(39, 71)(40, 74)(41, 67)(42, 68)(43, 70)(44, 78)(45, 96)(46, 76)(47, 84)(48, 86)(97, 146)(98, 150)(99, 153)(100, 145)(101, 159)(102, 162)(103, 165)(104, 168)(105, 171)(106, 173)(107, 147)(108, 175)(109, 148)(110, 179)(111, 177)(112, 149)(113, 176)(114, 181)(115, 160)(116, 155)(117, 158)(118, 161)(119, 151)(120, 156)(121, 152)(122, 154)(123, 191)(124, 183)(125, 187)(126, 185)(127, 189)(128, 184)(129, 188)(130, 157)(131, 190)(132, 186)(133, 178)(134, 169)(135, 167)(136, 170)(137, 163)(138, 164)(139, 166)(140, 174)(141, 192)(142, 172)(143, 180)(144, 182)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.718
Transitivity :: VT+
Graph::
	v = 6 e = 96 f = 36
	degree seq :: [ 32^6 ]

E28.722 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 8, 8, 8})
Quotient :: loop^2
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1 * Y2^-1, Y1 * Y2^-1, Y2^2 * Y1^-2, R * Y2 * R * Y1, (R * Y3)^2, Y2^8, Y1^8, Y3 * Y1^2 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1, Y1^-2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1, (Y1^-1 * Y3 * Y2^-1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 49, 97, 145, 3, 51, 99, 147)(2, 50, 98, 146, 6, 54, 102, 150)(4, 52, 100, 148, 9, 57, 105, 153)(5, 53, 101, 149, 12, 60, 108, 156)(7, 55, 103, 151, 16, 64, 112, 160)(8, 56, 104, 152, 17, 65, 113, 161)(10, 58, 106, 154, 21, 69, 117, 165)(11, 59, 107, 155, 24, 72, 120, 168)(13, 61, 109, 157, 28, 76, 124, 172)(14, 62, 110, 158, 29, 77, 125, 173)(15, 63, 111, 159, 31, 79, 127, 175)(18, 66, 114, 162, 34, 82, 130, 178)(19, 67, 115, 163, 26, 74, 122, 170)(20, 68, 116, 164, 35, 83, 131, 179)(22, 70, 118, 166, 33, 81, 129, 177)(23, 71, 119, 167, 38, 86, 134, 182)(25, 73, 121, 169, 41, 89, 137, 185)(27, 75, 123, 171, 43, 91, 139, 187)(30, 78, 126, 174, 44, 92, 140, 188)(32, 80, 128, 176, 46, 94, 142, 190)(36, 84, 132, 180, 45, 93, 141, 189)(37, 85, 133, 181, 39, 87, 135, 183)(40, 88, 136, 184, 47, 95, 143, 191)(42, 90, 138, 186, 48, 96, 144, 192)
	L = (1, 50)(2, 53)(3, 55)(4, 49)(5, 59)(6, 61)(7, 63)(8, 51)(9, 67)(10, 52)(11, 71)(12, 73)(13, 75)(14, 54)(15, 76)(16, 72)(17, 78)(18, 56)(19, 80)(20, 57)(21, 77)(22, 58)(23, 70)(24, 87)(25, 88)(26, 60)(27, 89)(28, 86)(29, 90)(30, 62)(31, 93)(32, 64)(33, 65)(34, 94)(35, 66)(36, 68)(37, 69)(38, 83)(39, 84)(40, 85)(41, 81)(42, 74)(43, 82)(44, 79)(45, 96)(46, 95)(47, 92)(48, 91)(97, 146)(98, 149)(99, 151)(100, 145)(101, 155)(102, 157)(103, 159)(104, 147)(105, 163)(106, 148)(107, 167)(108, 169)(109, 171)(110, 150)(111, 172)(112, 168)(113, 174)(114, 152)(115, 176)(116, 153)(117, 173)(118, 154)(119, 166)(120, 183)(121, 184)(122, 156)(123, 185)(124, 182)(125, 186)(126, 158)(127, 189)(128, 160)(129, 161)(130, 190)(131, 162)(132, 164)(133, 165)(134, 179)(135, 180)(136, 181)(137, 177)(138, 170)(139, 178)(140, 175)(141, 192)(142, 191)(143, 188)(144, 187)
	local type(s) :: { ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.717
Transitivity :: VT+
Graph::
	v = 24 e = 96 f = 18
	degree seq :: [ 8^24 ]

E28.723 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 8, 8, 8})
Quotient :: loop^2
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1, Y1 * Y2^-1, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y1^2 * Y3 * Y2^-1 * Y1 * Y3 * Y1^-1 * Y2^-1, Y1^8, Y2^8, Y1 * Y3 * Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-1 * Y3 * Y2, Y1 * Y3 * Y2^-1 * Y1^-3 * Y3 * Y1^3 ]
Map:: polytopal non-degenerate
	R = (1, 49, 97, 145, 3, 51, 99, 147)(2, 50, 98, 146, 6, 54, 102, 150)(4, 52, 100, 148, 9, 57, 105, 153)(5, 53, 101, 149, 12, 60, 108, 156)(7, 55, 103, 151, 16, 64, 112, 160)(8, 56, 104, 152, 13, 61, 109, 157)(10, 58, 106, 154, 19, 67, 115, 163)(11, 59, 107, 155, 22, 70, 118, 166)(14, 62, 110, 158, 23, 71, 119, 167)(15, 63, 111, 159, 28, 76, 124, 172)(17, 65, 113, 161, 30, 78, 126, 174)(18, 66, 114, 162, 33, 81, 129, 177)(20, 68, 116, 164, 35, 83, 131, 179)(21, 69, 117, 165, 36, 84, 132, 180)(24, 72, 120, 168, 37, 85, 133, 181)(25, 73, 121, 169, 42, 90, 138, 186)(26, 74, 122, 170, 43, 91, 139, 187)(27, 75, 123, 171, 44, 92, 140, 188)(29, 77, 125, 173, 45, 93, 141, 189)(31, 79, 127, 175, 38, 86, 134, 182)(32, 80, 128, 176, 46, 94, 142, 190)(34, 82, 130, 178, 41, 89, 137, 185)(39, 87, 135, 183, 47, 95, 143, 191)(40, 88, 136, 184, 48, 96, 144, 192)
	L = (1, 50)(2, 53)(3, 55)(4, 49)(5, 59)(6, 61)(7, 63)(8, 51)(9, 66)(10, 52)(11, 69)(12, 71)(13, 73)(14, 54)(15, 75)(16, 57)(17, 56)(18, 80)(19, 82)(20, 58)(21, 68)(22, 85)(23, 87)(24, 60)(25, 89)(26, 62)(27, 84)(28, 93)(29, 64)(30, 94)(31, 65)(32, 86)(33, 67)(34, 88)(35, 92)(36, 79)(37, 77)(38, 70)(39, 81)(40, 72)(41, 83)(42, 78)(43, 76)(44, 74)(45, 96)(46, 95)(47, 91)(48, 90)(97, 146)(98, 149)(99, 151)(100, 145)(101, 155)(102, 157)(103, 159)(104, 147)(105, 162)(106, 148)(107, 165)(108, 167)(109, 169)(110, 150)(111, 171)(112, 153)(113, 152)(114, 176)(115, 178)(116, 154)(117, 164)(118, 181)(119, 183)(120, 156)(121, 185)(122, 158)(123, 180)(124, 189)(125, 160)(126, 190)(127, 161)(128, 182)(129, 163)(130, 184)(131, 188)(132, 175)(133, 173)(134, 166)(135, 177)(136, 168)(137, 179)(138, 174)(139, 172)(140, 170)(141, 192)(142, 191)(143, 187)(144, 186)
	local type(s) :: { ( 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.716
Transitivity :: VT+
Graph::
	v = 24 e = 96 f = 18
	degree seq :: [ 8^24 ]

E28.724 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8, 8})
Quotient :: dipole
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y3^-1)^2, Y1 * Y2^-1 * Y1 * Y2^-1 * Y3, Y2^-1 * Y1 * Y3 * Y2^-2, Y1 * Y3^-1 * Y2 * Y1 * Y2, Y1 * Y2^-1 * Y1 * Y2^-1 * Y3, (Y2^-1 * Y3^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, (R * Y1 * Y2)^2, Y1 * Y3^-1 * Y2^-1 * Y1 * Y2 * Y3 * Y1 * Y3^-1 * Y2^-1, (Y3 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 15, 63)(5, 53, 18, 66)(6, 54, 21, 69)(7, 55, 19, 67)(8, 56, 25, 73)(9, 57, 22, 70)(10, 58, 28, 76)(12, 60, 30, 78)(13, 61, 32, 80)(14, 62, 20, 68)(16, 64, 26, 74)(17, 65, 36, 84)(23, 71, 42, 90)(24, 72, 27, 75)(29, 77, 34, 82)(31, 79, 43, 91)(33, 81, 37, 85)(35, 83, 41, 89)(38, 86, 40, 88)(39, 87, 44, 92)(45, 93, 47, 95)(46, 94, 48, 96)(97, 145, 99, 147, 108, 156, 104, 152, 122, 170, 117, 165, 116, 164, 101, 149)(98, 146, 103, 151, 113, 161, 100, 148, 112, 160, 124, 172, 123, 171, 105, 153)(102, 150, 118, 166, 137, 185, 125, 173, 107, 155, 111, 159, 129, 177, 109, 157)(106, 154, 114, 162, 134, 182, 135, 183, 115, 163, 121, 169, 139, 187, 119, 167)(110, 158, 130, 178, 144, 192, 136, 184, 126, 174, 128, 176, 141, 189, 127, 175)(120, 168, 140, 188, 143, 191, 131, 179, 132, 180, 138, 186, 142, 190, 133, 181)
	L = (1, 100)(2, 104)(3, 109)(4, 102)(5, 115)(6, 97)(7, 119)(8, 106)(9, 107)(10, 98)(11, 122)(12, 127)(13, 110)(14, 99)(15, 123)(16, 101)(17, 133)(18, 108)(19, 112)(20, 136)(21, 125)(22, 113)(23, 120)(24, 103)(25, 116)(26, 105)(27, 131)(28, 135)(29, 126)(30, 117)(31, 114)(32, 137)(33, 143)(34, 129)(35, 111)(36, 124)(37, 118)(38, 141)(39, 132)(40, 121)(41, 142)(42, 134)(43, 144)(44, 139)(45, 138)(46, 128)(47, 130)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 16^4 ), ( 16^16 ) }
Outer automorphisms :: reflexible
Dual of E28.729
Graph:: bipartite
	v = 30 e = 96 f = 12
	degree seq :: [ 4^24, 16^6 ]

E28.725 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8, 8})
Quotient :: dipole
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y1 * Y2^-1 * Y3^-1, Y3^3, (R * Y3^-1)^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y2 * Y3 * Y2^-2 * Y3 * Y2^-2, Y2^2 * Y3^-1 * Y2^-1 * Y1 * Y2^2 * Y3^-1, Y2^8, (Y3 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 6, 54)(4, 52, 12, 60)(5, 53, 14, 62)(7, 55, 8, 56)(9, 57, 11, 59)(10, 58, 22, 70)(13, 61, 26, 74)(15, 63, 30, 78)(16, 64, 18, 66)(17, 65, 35, 83)(19, 67, 21, 69)(20, 68, 36, 84)(23, 71, 33, 81)(24, 72, 25, 73)(27, 75, 38, 86)(28, 76, 29, 77)(31, 79, 48, 96)(32, 80, 34, 82)(37, 85, 39, 87)(40, 88, 44, 92)(41, 89, 42, 90)(43, 91, 45, 93)(46, 94, 47, 95)(97, 145, 99, 147, 105, 153, 115, 163, 133, 181, 127, 175, 111, 159, 101, 149)(98, 146, 103, 151, 112, 160, 128, 176, 135, 183, 123, 171, 109, 157, 100, 148)(102, 150, 108, 156, 120, 168, 139, 187, 144, 192, 130, 178, 119, 167, 106, 154)(104, 152, 110, 158, 124, 172, 143, 191, 134, 182, 117, 165, 132, 180, 113, 161)(107, 155, 118, 166, 137, 185, 125, 173, 126, 174, 141, 189, 136, 184, 116, 164)(114, 162, 131, 179, 140, 188, 121, 169, 122, 170, 142, 190, 138, 186, 129, 177)
	L = (1, 100)(2, 101)(3, 106)(4, 102)(5, 104)(6, 97)(7, 113)(8, 98)(9, 116)(10, 107)(11, 99)(12, 109)(13, 121)(14, 111)(15, 125)(16, 129)(17, 114)(18, 103)(19, 134)(20, 117)(21, 105)(22, 119)(23, 138)(24, 140)(25, 108)(26, 123)(27, 143)(28, 137)(29, 110)(30, 127)(31, 139)(32, 144)(33, 130)(34, 112)(35, 132)(36, 136)(37, 128)(38, 135)(39, 115)(40, 131)(41, 142)(42, 118)(43, 126)(44, 141)(45, 120)(46, 124)(47, 122)(48, 133)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 16^4 ), ( 16^16 ) }
Outer automorphisms :: reflexible
Dual of E28.728
Graph:: bipartite
	v = 30 e = 96 f = 12
	degree seq :: [ 4^24, 16^6 ]

E28.726 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8, 8})
Quotient :: dipole
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3 * Y2, Y3^4, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2 * Y3^-1 * Y2 * Y3^-2, (Y2^-1 * Y1)^3, Y3 * Y1 * Y3^-2 * Y1 * Y3, Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 13, 61)(5, 53, 16, 64)(6, 54, 17, 65)(7, 55, 18, 66)(8, 56, 20, 68)(9, 57, 23, 71)(10, 58, 24, 72)(12, 60, 28, 76)(14, 62, 21, 69)(15, 63, 33, 81)(19, 67, 40, 88)(22, 70, 45, 93)(25, 73, 48, 96)(26, 74, 37, 85)(27, 75, 43, 91)(29, 77, 46, 94)(30, 78, 44, 92)(31, 79, 34, 82)(32, 80, 42, 90)(35, 83, 47, 95)(36, 84, 41, 89)(38, 86, 39, 87)(97, 145, 99, 147, 102, 150, 108, 156, 110, 158, 111, 159, 100, 148, 101, 149)(98, 146, 103, 151, 106, 154, 115, 163, 117, 165, 118, 166, 104, 152, 105, 153)(107, 155, 119, 167, 123, 171, 142, 190, 129, 177, 136, 184, 121, 169, 122, 170)(109, 157, 125, 173, 128, 176, 134, 182, 113, 161, 133, 181, 126, 174, 127, 175)(112, 160, 130, 178, 132, 180, 141, 189, 124, 172, 135, 183, 131, 179, 114, 162)(116, 164, 137, 185, 140, 188, 144, 192, 120, 168, 143, 191, 138, 186, 139, 187)
	L = (1, 100)(2, 104)(3, 101)(4, 110)(5, 111)(6, 97)(7, 105)(8, 117)(9, 118)(10, 98)(11, 121)(12, 99)(13, 126)(14, 102)(15, 108)(16, 131)(17, 128)(18, 135)(19, 103)(20, 138)(21, 106)(22, 115)(23, 122)(24, 140)(25, 129)(26, 136)(27, 107)(28, 132)(29, 127)(30, 113)(31, 133)(32, 109)(33, 123)(34, 114)(35, 124)(36, 112)(37, 134)(38, 125)(39, 141)(40, 142)(41, 139)(42, 120)(43, 143)(44, 116)(45, 130)(46, 119)(47, 144)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 16^4 ), ( 16^16 ) }
Outer automorphisms :: reflexible
Dual of E28.730
Graph:: bipartite
	v = 30 e = 96 f = 12
	degree seq :: [ 4^24, 16^6 ]

E28.727 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8, 8})
Quotient :: dipole
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^-1 * Y2, Y3^4, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3 * Y1 * Y3^-2 * Y1 * Y3, Y2 * Y3 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1, (Y3 * Y1 * Y2 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 13, 61)(5, 53, 15, 63)(6, 54, 17, 65)(7, 55, 18, 66)(8, 56, 20, 68)(9, 57, 22, 70)(10, 58, 24, 72)(12, 60, 29, 77)(14, 62, 21, 69)(16, 64, 38, 86)(19, 67, 25, 73)(23, 71, 36, 84)(26, 74, 48, 96)(27, 75, 39, 87)(28, 76, 44, 92)(30, 78, 46, 94)(31, 79, 45, 93)(32, 80, 34, 82)(33, 81, 43, 91)(35, 83, 47, 95)(37, 85, 42, 90)(40, 88, 41, 89)(97, 145, 99, 147, 100, 148, 108, 156, 110, 158, 112, 160, 102, 150, 101, 149)(98, 146, 103, 151, 104, 152, 115, 163, 117, 165, 119, 167, 106, 154, 105, 153)(107, 155, 121, 169, 122, 170, 142, 190, 134, 182, 118, 166, 124, 172, 123, 171)(109, 157, 126, 174, 127, 175, 136, 184, 113, 161, 135, 183, 129, 177, 128, 176)(111, 159, 130, 178, 131, 179, 114, 162, 125, 173, 137, 185, 133, 181, 132, 180)(116, 164, 138, 186, 139, 187, 144, 192, 120, 168, 143, 191, 141, 189, 140, 188)
	L = (1, 100)(2, 104)(3, 108)(4, 110)(5, 99)(6, 97)(7, 115)(8, 117)(9, 103)(10, 98)(11, 122)(12, 112)(13, 127)(14, 102)(15, 131)(16, 101)(17, 129)(18, 137)(19, 119)(20, 139)(21, 106)(22, 123)(23, 105)(24, 141)(25, 142)(26, 134)(27, 121)(28, 107)(29, 133)(30, 136)(31, 113)(32, 126)(33, 109)(34, 114)(35, 125)(36, 130)(37, 111)(38, 124)(39, 128)(40, 135)(41, 132)(42, 144)(43, 120)(44, 138)(45, 116)(46, 118)(47, 140)(48, 143)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 16^4 ), ( 16^16 ) }
Outer automorphisms :: reflexible
Dual of E28.731
Graph:: bipartite
	v = 30 e = 96 f = 12
	degree seq :: [ 4^24, 16^6 ]

E28.728 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8, 8})
Quotient :: dipole
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1 * Y1^-1, Y3^3, (Y1 * Y3)^2, (R * Y1^-1)^2, (R * Y3)^2, Y2 * Y3 * Y1^-1 * Y3^-1, Y1 * Y3 * Y1 * Y2^-1 * Y3^-1 * Y2^-1, (Y1 * Y2^-2)^2, (Y1^2 * Y2^-1)^2, Y2^8, Y1^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 23, 71, 45, 93, 43, 91, 19, 67, 5, 53)(3, 51, 12, 60, 31, 79, 39, 87, 44, 92, 26, 74, 25, 73, 15, 63)(4, 52, 14, 62, 20, 68, 36, 84, 47, 95, 46, 94, 40, 88, 17, 65)(6, 54, 21, 69, 42, 90, 48, 96, 34, 82, 28, 76, 9, 57, 7, 55)(10, 58, 29, 77, 18, 66, 32, 80, 37, 85, 35, 83, 24, 72, 11, 59)(13, 61, 33, 81, 38, 86, 16, 64, 22, 70, 41, 89, 27, 75, 30, 78)(97, 145, 99, 147, 109, 157, 130, 178, 141, 189, 140, 188, 118, 166, 102, 150)(98, 146, 100, 148, 112, 160, 133, 181, 139, 187, 143, 191, 126, 174, 106, 154)(101, 149, 114, 162, 137, 185, 136, 184, 119, 167, 120, 168, 129, 177, 116, 164)(103, 151, 107, 155, 122, 170, 142, 190, 144, 192, 128, 176, 108, 156, 110, 158)(104, 152, 105, 153, 123, 171, 127, 175, 115, 163, 138, 186, 134, 182, 121, 169)(111, 159, 131, 179, 117, 165, 113, 161, 135, 183, 125, 173, 124, 172, 132, 180)
	L = (1, 100)(2, 105)(3, 110)(4, 103)(5, 99)(6, 113)(7, 97)(8, 120)(9, 107)(10, 124)(11, 98)(12, 115)(13, 116)(14, 101)(15, 109)(16, 102)(17, 112)(18, 108)(19, 114)(20, 111)(21, 134)(22, 136)(23, 140)(24, 122)(25, 131)(26, 104)(27, 106)(28, 123)(29, 137)(30, 130)(31, 125)(32, 139)(33, 121)(34, 132)(35, 129)(36, 126)(37, 117)(38, 133)(39, 118)(40, 135)(41, 127)(42, 128)(43, 138)(44, 142)(45, 143)(46, 119)(47, 144)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.725
Graph:: bipartite
	v = 12 e = 96 f = 30
	degree seq :: [ 16^12 ]

E28.729 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8, 8})
Quotient :: dipole
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y3 * Y2)^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y1 * Y2^-2 * Y3 * Y2, Y2^-1 * Y3 * R * Y2 * R, Y1 * Y2 * Y1 * Y2 * Y3, Y1^2 * Y3^-1 * Y1^-1 * Y2^-1, Y1^2 * Y2 * Y3^-1 * Y2 * Y3^-1, (Y2 * Y1^-1)^3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 17, 65, 35, 83, 21, 69, 24, 72, 5, 53)(3, 51, 13, 61, 41, 89, 44, 92, 23, 71, 40, 88, 33, 81, 16, 64)(4, 52, 18, 66, 43, 91, 27, 75, 9, 57, 15, 63, 25, 73, 20, 68)(6, 54, 26, 74, 10, 58, 7, 55, 30, 78, 38, 86, 32, 80, 28, 76)(11, 59, 37, 85, 22, 70, 12, 60, 39, 87, 48, 96, 45, 93, 31, 79)(14, 62, 42, 90, 36, 84, 34, 82, 29, 77, 47, 95, 46, 94, 19, 67)(97, 145, 99, 147, 110, 158, 126, 174, 131, 179, 119, 167, 125, 173, 102, 150)(98, 146, 105, 153, 130, 178, 135, 183, 117, 165, 100, 148, 115, 163, 107, 155)(101, 149, 118, 166, 143, 191, 139, 187, 113, 161, 141, 189, 138, 186, 121, 169)(103, 151, 127, 175, 109, 157, 114, 162, 124, 172, 108, 156, 136, 184, 111, 159)(104, 152, 128, 176, 142, 190, 137, 185, 120, 168, 106, 154, 132, 180, 129, 177)(112, 160, 133, 181, 122, 170, 116, 164, 140, 188, 144, 192, 134, 182, 123, 171)
	L = (1, 100)(2, 106)(3, 111)(4, 103)(5, 119)(6, 123)(7, 97)(8, 118)(9, 124)(10, 108)(11, 134)(12, 98)(13, 104)(14, 139)(15, 113)(16, 125)(17, 99)(18, 101)(19, 102)(20, 130)(21, 128)(22, 109)(23, 114)(24, 141)(25, 112)(26, 142)(27, 115)(28, 131)(29, 121)(30, 116)(31, 117)(32, 127)(33, 144)(34, 126)(35, 105)(36, 107)(37, 138)(38, 132)(39, 122)(40, 120)(41, 133)(42, 137)(43, 140)(44, 110)(45, 136)(46, 135)(47, 129)(48, 143)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.724
Graph:: bipartite
	v = 12 e = 96 f = 30
	degree seq :: [ 16^12 ]

E28.730 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8, 8})
Quotient :: dipole
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^2, Y3^4, (Y1 * Y3)^2, (Y1 * Y3^-1)^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y1^-1 * Y2^2 * Y1^-1, Y2 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1, (Y1^-1 * Y2^-1 * Y1^-1)^2, Y1 * Y3^-1 * Y1^-1 * Y3 * Y1^2, (Y2^-1 * Y1^2)^2, Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1, (Y1^-1 * Y2^-1)^3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 25, 73, 17, 65, 33, 81, 21, 69, 5, 53)(3, 51, 13, 61, 37, 85, 45, 93, 18, 66, 44, 92, 28, 76, 14, 62)(4, 52, 16, 64, 29, 77, 10, 58, 7, 55, 20, 68, 27, 75, 12, 60)(6, 54, 23, 71, 47, 95, 38, 86, 15, 63, 41, 89, 26, 74, 24, 72)(9, 57, 30, 78, 22, 70, 42, 90, 34, 82, 48, 96, 43, 91, 31, 79)(11, 59, 35, 83, 19, 67, 39, 87, 32, 80, 40, 88, 46, 94, 36, 84)(97, 145, 99, 147, 103, 151, 111, 159, 113, 161, 114, 162, 100, 148, 102, 150)(98, 146, 105, 153, 108, 156, 128, 176, 129, 177, 130, 178, 106, 154, 107, 155)(101, 149, 115, 163, 112, 160, 139, 187, 121, 169, 142, 190, 116, 164, 118, 166)(104, 152, 122, 170, 125, 173, 133, 181, 117, 165, 143, 191, 123, 171, 124, 172)(109, 157, 126, 174, 120, 168, 132, 180, 140, 188, 144, 192, 134, 182, 135, 183)(110, 158, 136, 184, 119, 167, 127, 175, 141, 189, 131, 179, 137, 185, 138, 186)
	L = (1, 100)(2, 106)(3, 102)(4, 113)(5, 116)(6, 114)(7, 97)(8, 123)(9, 107)(10, 129)(11, 130)(12, 98)(13, 134)(14, 137)(15, 99)(16, 101)(17, 103)(18, 111)(19, 118)(20, 121)(21, 125)(22, 142)(23, 110)(24, 109)(25, 112)(26, 124)(27, 117)(28, 143)(29, 104)(30, 135)(31, 136)(32, 105)(33, 108)(34, 128)(35, 127)(36, 126)(37, 122)(38, 140)(39, 144)(40, 138)(41, 141)(42, 131)(43, 115)(44, 120)(45, 119)(46, 139)(47, 133)(48, 132)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.726
Graph:: bipartite
	v = 12 e = 96 f = 30
	degree seq :: [ 16^12 ]

E28.731 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8, 8})
Quotient :: dipole
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3, (Y1^-1 * Y3)^2, (Y3 * Y1^-1)^2, (Y3 * Y1)^2, Y3^4, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y2^2 * Y1, Y1^-3 * Y3 * Y1 * Y3^-1, Y1^2 * Y3^-1 * Y1^-2 * Y3^-1, (Y1^-1 * Y2 * Y1^-1)^2, Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1, (Y1^-2 * Y2^-1)^2, Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 25, 73, 17, 65, 33, 81, 20, 68, 5, 53)(3, 51, 13, 61, 37, 85, 46, 94, 24, 72, 47, 95, 28, 76, 15, 63)(4, 52, 16, 64, 29, 77, 10, 58, 7, 55, 19, 67, 27, 75, 12, 60)(6, 54, 22, 70, 44, 92, 39, 87, 14, 62, 40, 88, 26, 74, 23, 71)(9, 57, 30, 78, 21, 69, 45, 93, 36, 84, 38, 86, 43, 91, 32, 80)(11, 59, 34, 82, 18, 66, 42, 90, 31, 79, 48, 96, 41, 89, 35, 83)(97, 145, 99, 147, 100, 148, 110, 158, 113, 161, 120, 168, 103, 151, 102, 150)(98, 146, 105, 153, 106, 154, 127, 175, 129, 177, 132, 180, 108, 156, 107, 155)(101, 149, 114, 162, 115, 163, 139, 187, 121, 169, 137, 185, 112, 160, 117, 165)(104, 152, 122, 170, 123, 171, 133, 181, 116, 164, 140, 188, 125, 173, 124, 172)(109, 157, 134, 182, 119, 167, 138, 186, 143, 191, 126, 174, 135, 183, 131, 179)(111, 159, 130, 178, 118, 166, 141, 189, 142, 190, 144, 192, 136, 184, 128, 176)
	L = (1, 100)(2, 106)(3, 110)(4, 113)(5, 115)(6, 99)(7, 97)(8, 123)(9, 127)(10, 129)(11, 105)(12, 98)(13, 119)(14, 120)(15, 118)(16, 101)(17, 103)(18, 139)(19, 121)(20, 125)(21, 114)(22, 142)(23, 143)(24, 102)(25, 112)(26, 133)(27, 116)(28, 122)(29, 104)(30, 131)(31, 132)(32, 130)(33, 108)(34, 141)(35, 134)(36, 107)(37, 140)(38, 138)(39, 109)(40, 111)(41, 117)(42, 126)(43, 137)(44, 124)(45, 144)(46, 136)(47, 135)(48, 128)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.727
Graph:: bipartite
	v = 12 e = 96 f = 30
	degree seq :: [ 16^12 ]

E28.732 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8, 12})
Quotient :: dipole
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-1 * Y3^-1 * Y2^-1 * Y3, (Y2 * Y1)^2, (R * Y3)^2, R * Y2 * R * Y2^-1, (R * Y1)^2, Y1 * Y3 * Y1 * Y2 * Y3, Y2^6, Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3^-1, Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^3 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 14, 62)(5, 53, 7, 55)(6, 54, 19, 67)(8, 56, 13, 61)(10, 58, 12, 60)(11, 59, 24, 72)(15, 63, 32, 80)(16, 64, 26, 74)(17, 65, 21, 69)(18, 66, 38, 86)(20, 68, 23, 71)(22, 70, 29, 77)(25, 73, 28, 76)(27, 75, 42, 90)(30, 78, 47, 95)(31, 79, 44, 92)(33, 81, 35, 83)(34, 82, 45, 93)(36, 84, 43, 91)(37, 85, 48, 96)(39, 87, 40, 88)(41, 89, 46, 94)(97, 145, 99, 147, 107, 155, 123, 171, 113, 161, 101, 149)(98, 146, 103, 151, 117, 165, 138, 186, 120, 168, 105, 153)(100, 148, 111, 159, 130, 178, 137, 185, 124, 172, 108, 156)(102, 150, 114, 162, 133, 181, 132, 180, 125, 173, 109, 157)(104, 152, 118, 166, 139, 187, 144, 192, 134, 182, 115, 163)(106, 154, 121, 169, 142, 190, 141, 189, 128, 176, 110, 158)(112, 160, 126, 174, 135, 183, 116, 164, 127, 175, 131, 179)(119, 167, 136, 184, 143, 191, 122, 170, 129, 177, 140, 188)
	L = (1, 100)(2, 104)(3, 108)(4, 112)(5, 111)(6, 97)(7, 115)(8, 119)(9, 118)(10, 98)(11, 124)(12, 126)(13, 99)(14, 103)(15, 131)(16, 132)(17, 130)(18, 101)(19, 136)(20, 102)(21, 134)(22, 140)(23, 141)(24, 139)(25, 105)(26, 106)(27, 137)(28, 135)(29, 107)(30, 133)(31, 109)(32, 117)(33, 110)(34, 127)(35, 125)(36, 123)(37, 113)(38, 143)(39, 114)(40, 142)(41, 116)(42, 144)(43, 129)(44, 128)(45, 138)(46, 120)(47, 121)(48, 122)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 16, 24, 16, 24 ), ( 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.757
Graph:: simple bipartite
	v = 32 e = 96 f = 10
	degree seq :: [ 4^24, 12^8 ]

E28.733 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8, 12})
Quotient :: dipole
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y2^-1 * Y3 * Y2^-1, (Y2 * Y1)^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, Y1 * Y3 * Y1 * Y2^-1 * Y3, Y2^6, Y2 * Y3^-2 * Y2^2 * Y3^-2, Y3^8, Y3 * Y2^-1 * Y1 * Y2 * Y3^-3 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 14, 62)(5, 53, 7, 55)(6, 54, 19, 67)(8, 56, 18, 66)(10, 58, 15, 63)(11, 59, 25, 73)(12, 60, 30, 78)(13, 61, 32, 80)(16, 64, 26, 74)(17, 65, 21, 69)(20, 68, 24, 72)(22, 70, 38, 86)(23, 71, 35, 83)(27, 75, 42, 90)(28, 76, 47, 95)(29, 77, 48, 96)(31, 79, 34, 82)(33, 81, 40, 88)(36, 84, 46, 94)(37, 85, 43, 91)(39, 87, 45, 93)(41, 89, 44, 92)(97, 145, 99, 147, 107, 155, 123, 171, 113, 161, 101, 149)(98, 146, 103, 151, 117, 165, 138, 186, 121, 169, 105, 153)(100, 148, 111, 159, 131, 179, 137, 185, 124, 172, 108, 156)(102, 150, 114, 162, 134, 182, 133, 181, 125, 173, 109, 157)(104, 152, 115, 163, 128, 176, 144, 192, 139, 187, 118, 166)(106, 154, 110, 158, 126, 174, 143, 191, 140, 188, 119, 167)(112, 160, 127, 175, 135, 183, 116, 164, 129, 177, 132, 180)(120, 168, 141, 189, 130, 178, 122, 170, 142, 190, 136, 184)
	L = (1, 100)(2, 104)(3, 108)(4, 112)(5, 111)(6, 97)(7, 118)(8, 120)(9, 115)(10, 98)(11, 124)(12, 127)(13, 99)(14, 105)(15, 132)(16, 133)(17, 131)(18, 101)(19, 136)(20, 102)(21, 139)(22, 141)(23, 103)(24, 143)(25, 128)(26, 106)(27, 137)(28, 135)(29, 107)(30, 121)(31, 134)(32, 142)(33, 109)(34, 110)(35, 129)(36, 125)(37, 123)(38, 113)(39, 114)(40, 140)(41, 116)(42, 144)(43, 130)(44, 117)(45, 126)(46, 119)(47, 138)(48, 122)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 16, 24, 16, 24 ), ( 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.756
Graph:: simple bipartite
	v = 32 e = 96 f = 10
	degree seq :: [ 4^24, 12^8 ]

E28.734 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8, 12})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (Y3, Y2^-1), (R * Y3)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2)^2, Y3^-4 * Y2, Y2^-1 * Y1 * Y3^-1 * Y1 * Y3^-1, Y2^6, Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-2 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 14, 62)(5, 53, 9, 57)(6, 54, 19, 67)(8, 56, 18, 66)(10, 58, 12, 60)(11, 59, 21, 69)(13, 61, 31, 79)(15, 63, 34, 82)(16, 64, 32, 80)(17, 65, 25, 73)(20, 68, 39, 87)(22, 70, 28, 76)(23, 71, 42, 90)(24, 72, 36, 84)(26, 74, 44, 92)(27, 75, 40, 88)(29, 77, 47, 95)(30, 78, 33, 81)(35, 83, 48, 96)(37, 85, 38, 86)(41, 89, 45, 93)(43, 91, 46, 94)(97, 145, 99, 147, 107, 155, 123, 171, 113, 161, 101, 149)(98, 146, 103, 151, 117, 165, 136, 184, 121, 169, 105, 153)(100, 148, 108, 156, 124, 172, 141, 189, 131, 179, 112, 160)(102, 150, 109, 157, 125, 173, 142, 190, 132, 180, 114, 162)(104, 152, 115, 163, 127, 175, 143, 191, 139, 187, 120, 168)(106, 154, 118, 166, 137, 185, 144, 192, 128, 176, 110, 158)(111, 159, 126, 174, 140, 188, 138, 186, 133, 181, 116, 164)(119, 167, 134, 182, 135, 183, 130, 178, 129, 177, 122, 170)
	L = (1, 100)(2, 104)(3, 108)(4, 111)(5, 112)(6, 97)(7, 115)(8, 119)(9, 120)(10, 98)(11, 124)(12, 126)(13, 99)(14, 105)(15, 109)(16, 116)(17, 131)(18, 101)(19, 134)(20, 102)(21, 127)(22, 103)(23, 118)(24, 122)(25, 139)(26, 106)(27, 141)(28, 140)(29, 107)(30, 125)(31, 135)(32, 121)(33, 110)(34, 128)(35, 133)(36, 113)(37, 114)(38, 137)(39, 144)(40, 143)(41, 117)(42, 132)(43, 129)(44, 142)(45, 138)(46, 123)(47, 130)(48, 136)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 16, 24, 16, 24 ), ( 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.759
Graph:: simple bipartite
	v = 32 e = 96 f = 10
	degree seq :: [ 4^24, 12^8 ]

E28.735 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8, 12})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y2 * Y1, Y3 * Y1 * Y3^-1 * Y1, Y1 * Y2^2 * Y3^-2, Y3 * Y1 * Y2^-2 * Y3, (R * Y2 * Y3^-1)^2, Y3^-2 * Y2^-2 * Y3^-2, Y2^6, Y3 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 8, 56)(5, 53, 9, 57)(6, 54, 10, 58)(11, 59, 15, 63)(12, 60, 23, 71)(13, 61, 17, 65)(14, 62, 24, 72)(16, 64, 20, 68)(18, 66, 22, 70)(19, 67, 25, 73)(21, 69, 26, 74)(27, 75, 30, 78)(28, 76, 36, 84)(29, 77, 40, 88)(31, 79, 32, 80)(33, 81, 39, 87)(34, 82, 42, 90)(35, 83, 37, 85)(38, 86, 41, 89)(43, 91, 48, 96)(44, 92, 45, 93)(46, 94, 47, 95)(97, 145, 99, 147, 107, 155, 123, 171, 114, 162, 101, 149)(98, 146, 103, 151, 111, 159, 126, 174, 118, 166, 105, 153)(100, 148, 110, 158, 124, 172, 122, 170, 106, 154, 112, 160)(102, 150, 116, 164, 104, 152, 120, 168, 132, 180, 117, 165)(108, 156, 125, 173, 121, 169, 135, 183, 113, 161, 127, 175)(109, 157, 128, 176, 119, 167, 136, 184, 115, 163, 129, 177)(130, 178, 144, 192, 137, 185, 142, 190, 133, 181, 140, 188)(131, 179, 141, 189, 138, 186, 139, 187, 134, 182, 143, 191)
	L = (1, 100)(2, 104)(3, 108)(4, 111)(5, 113)(6, 97)(7, 119)(8, 107)(9, 109)(10, 98)(11, 124)(12, 126)(13, 99)(14, 130)(15, 132)(16, 133)(17, 103)(18, 106)(19, 101)(20, 131)(21, 134)(22, 102)(23, 123)(24, 138)(25, 105)(26, 137)(27, 121)(28, 118)(29, 139)(30, 115)(31, 141)(32, 140)(33, 142)(34, 117)(35, 110)(36, 114)(37, 120)(38, 112)(39, 143)(40, 144)(41, 116)(42, 122)(43, 129)(44, 125)(45, 136)(46, 127)(47, 128)(48, 135)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 16, 24, 16, 24 ), ( 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.758
Graph:: simple bipartite
	v = 32 e = 96 f = 10
	degree seq :: [ 4^24, 12^8 ]

E28.736 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8, 12})
Quotient :: dipole
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1, Y3^-1), Y1^-1 * Y2^-1 * Y1^-1 * Y3, Y2 * Y1^-2 * Y3, Y1^-1 * Y2 * Y3 * Y1^-1, (R * Y3)^2, Y2 * Y1 * Y2 * Y1^-1, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y2)^2, Y2^3 * Y3^3, Y3 * Y2 * Y1^4, Y3^6 * Y2^-2, Y2^8, Y3^6 * Y2^-2, (Y3 * Y2^-1)^12 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 22, 70, 19, 67, 5, 53)(3, 51, 11, 59, 23, 71, 10, 58, 7, 55, 14, 62)(4, 52, 16, 64, 24, 72, 12, 60, 6, 54, 9, 57)(13, 61, 29, 77, 21, 69, 28, 76, 15, 63, 27, 75)(17, 65, 26, 74, 20, 68, 25, 73, 18, 66, 30, 78)(31, 79, 40, 88, 33, 81, 42, 90, 32, 80, 41, 89)(34, 82, 37, 85, 36, 84, 39, 87, 35, 83, 38, 86)(43, 91, 46, 94, 45, 93, 48, 96, 44, 92, 47, 95)(97, 145, 99, 147, 109, 157, 127, 175, 139, 187, 130, 178, 116, 164, 102, 150)(98, 146, 105, 153, 121, 169, 133, 181, 142, 190, 136, 184, 125, 173, 107, 155)(100, 148, 104, 152, 119, 167, 117, 165, 129, 177, 141, 189, 132, 180, 114, 162)(101, 149, 108, 156, 122, 170, 134, 182, 143, 191, 137, 185, 123, 171, 110, 158)(103, 151, 111, 159, 128, 176, 140, 188, 131, 179, 113, 161, 120, 168, 115, 163)(106, 154, 118, 166, 112, 160, 126, 174, 135, 183, 144, 192, 138, 186, 124, 172)
	L = (1, 100)(2, 106)(3, 104)(4, 113)(5, 107)(6, 114)(7, 97)(8, 120)(9, 118)(10, 123)(11, 124)(12, 98)(13, 119)(14, 125)(15, 99)(16, 101)(17, 130)(18, 131)(19, 102)(20, 132)(21, 103)(22, 110)(23, 115)(24, 116)(25, 112)(26, 105)(27, 136)(28, 137)(29, 138)(30, 108)(31, 117)(32, 109)(33, 111)(34, 141)(35, 139)(36, 140)(37, 126)(38, 121)(39, 122)(40, 144)(41, 142)(42, 143)(43, 129)(44, 127)(45, 128)(46, 135)(47, 133)(48, 134)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.746
Graph:: bipartite
	v = 14 e = 96 f = 28
	degree seq :: [ 12^8, 16^6 ]

E28.737 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8, 12})
Quotient :: dipole
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ R^2, Y3^3 * Y2^-1, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, Y2 * Y1^-1 * Y2 * Y1, (R * Y3)^2, (Y3^-1, Y2^-1), (R * Y2)^2, Y3 * Y1^2 * Y3^-1 * Y1^-2, Y2 * Y3 * Y2 * Y1 * Y3^-1 * Y1^-1, Y1^-1 * Y3^-2 * Y2^-2 * Y1^-1, Y2^2 * Y1^-1 * Y2^-1 * Y3 * Y1^-1, Y3 * Y1^-3 * Y3 * Y1^-1, Y1^6, Y2^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 26, 74, 22, 70, 5, 53)(3, 51, 11, 59, 27, 75, 45, 93, 41, 89, 15, 63)(4, 52, 17, 65, 28, 76, 12, 60, 38, 86, 18, 66)(6, 54, 9, 57, 29, 77, 44, 92, 39, 87, 20, 68)(7, 55, 25, 73, 30, 78, 21, 69, 34, 82, 10, 58)(13, 61, 36, 84, 19, 67, 43, 91, 46, 94, 33, 81)(14, 62, 32, 80, 24, 72, 37, 85, 48, 96, 40, 88)(16, 64, 42, 90, 23, 71, 31, 79, 47, 95, 35, 83)(97, 145, 99, 147, 109, 157, 134, 182, 144, 192, 126, 174, 119, 167, 102, 150)(98, 146, 105, 153, 127, 175, 117, 165, 136, 184, 114, 162, 132, 180, 107, 155)(100, 148, 110, 158, 130, 178, 143, 191, 125, 173, 104, 152, 123, 171, 115, 163)(101, 149, 116, 164, 138, 186, 121, 169, 133, 181, 108, 156, 129, 177, 111, 159)(103, 151, 112, 160, 135, 183, 118, 166, 137, 185, 142, 190, 124, 172, 120, 168)(106, 154, 128, 176, 113, 161, 139, 187, 141, 189, 122, 170, 140, 188, 131, 179)
	L = (1, 100)(2, 106)(3, 110)(4, 112)(5, 117)(6, 115)(7, 97)(8, 124)(9, 128)(10, 129)(11, 131)(12, 98)(13, 130)(14, 135)(15, 127)(16, 99)(17, 101)(18, 122)(19, 103)(20, 136)(21, 139)(22, 134)(23, 123)(24, 102)(25, 132)(26, 121)(27, 120)(28, 119)(29, 142)(30, 104)(31, 113)(32, 111)(33, 105)(34, 118)(35, 108)(36, 140)(37, 107)(38, 143)(39, 109)(40, 141)(41, 144)(42, 114)(43, 116)(44, 133)(45, 138)(46, 126)(47, 137)(48, 125)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.747
Graph:: bipartite
	v = 14 e = 96 f = 28
	degree seq :: [ 12^8, 16^6 ]

E28.738 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8, 12})
Quotient :: dipole
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y2^2, Y2^-1 * Y3^-1 * Y1^-2, (Y3 * Y1^-1)^2, (Y1^-1 * Y2^-1)^2, Y2 * Y1 * Y3^-1 * Y1^-1, (R * Y1)^2, (Y2^-1 * Y1)^2, (R * Y3)^2, Y2 * Y3 * Y1^-2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y2 * Y1^-3, Y2^-1 * Y3 * Y2 * Y1^-2 * Y3^-1, Y1^-1 * R * Y2 * R * Y2 * Y1^-1, Y2^8, Y3^2 * Y2^-1 * Y3^2 * Y2^-3, (Y3 * Y2^-1)^12 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 22, 70, 16, 64, 5, 53)(3, 51, 10, 58, 7, 55, 19, 67, 23, 71, 11, 59)(4, 52, 15, 63, 24, 72, 9, 57, 6, 54, 12, 60)(13, 61, 27, 75, 14, 62, 29, 77, 21, 69, 28, 76)(17, 65, 25, 73, 20, 68, 26, 74, 18, 66, 30, 78)(31, 79, 40, 88, 32, 80, 42, 90, 33, 81, 41, 89)(34, 82, 39, 87, 36, 84, 37, 85, 35, 83, 38, 86)(43, 91, 46, 94, 44, 92, 47, 95, 45, 93, 48, 96)(97, 145, 99, 147, 109, 157, 127, 175, 139, 187, 131, 179, 113, 161, 102, 150)(98, 146, 105, 153, 121, 169, 133, 181, 142, 190, 137, 185, 123, 171, 107, 155)(100, 148, 112, 160, 103, 151, 117, 165, 128, 176, 141, 189, 130, 178, 114, 162)(101, 149, 108, 156, 126, 174, 134, 182, 144, 192, 136, 184, 124, 172, 106, 154)(104, 152, 119, 167, 110, 158, 129, 177, 140, 188, 132, 180, 116, 164, 120, 168)(111, 159, 122, 170, 135, 183, 143, 191, 138, 186, 125, 173, 115, 163, 118, 166)
	L = (1, 100)(2, 106)(3, 104)(4, 113)(5, 115)(6, 116)(7, 97)(8, 102)(9, 118)(10, 123)(11, 125)(12, 98)(13, 103)(14, 99)(15, 101)(16, 120)(17, 130)(18, 132)(19, 124)(20, 131)(21, 119)(22, 107)(23, 112)(24, 114)(25, 108)(26, 105)(27, 136)(28, 138)(29, 137)(30, 111)(31, 110)(32, 109)(33, 117)(34, 139)(35, 140)(36, 141)(37, 122)(38, 121)(39, 126)(40, 142)(41, 143)(42, 144)(43, 128)(44, 127)(45, 129)(46, 134)(47, 133)(48, 135)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.748
Graph:: bipartite
	v = 14 e = 96 f = 28
	degree seq :: [ 12^8, 16^6 ]

E28.739 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8, 12})
Quotient :: dipole
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ R^2, (Y1^-1 * Y3^-1)^2, Y1^2 * Y2 * Y3, (R * Y3)^2, Y3^-1 * Y1 * Y2 * Y1^-1, (R * Y1)^2, Y3^-1 * Y1^2 * Y2^-1, Y2^2 * Y1 * Y3^-1 * Y1 * Y3, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^3, Y2^-1 * Y1^2 * Y3^-1 * Y1^-2, Y2^8, Y3^2 * Y2^-1 * Y3^2 * Y2^-3, (Y3 * Y2^-1)^12 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 22, 70, 15, 63, 5, 53)(3, 51, 13, 61, 24, 72, 10, 58, 7, 55, 11, 59)(4, 52, 9, 57, 6, 54, 19, 67, 23, 71, 12, 60)(14, 62, 27, 75, 21, 69, 28, 76, 16, 64, 29, 77)(17, 65, 25, 73, 18, 66, 30, 78, 20, 68, 26, 74)(31, 79, 42, 90, 33, 81, 40, 88, 32, 80, 41, 89)(34, 82, 37, 85, 35, 83, 39, 87, 36, 84, 38, 86)(43, 91, 46, 94, 45, 93, 48, 96, 44, 92, 47, 95)(97, 145, 99, 147, 110, 158, 127, 175, 139, 187, 131, 179, 113, 161, 102, 150)(98, 146, 105, 153, 121, 169, 133, 181, 142, 190, 137, 185, 123, 171, 107, 155)(100, 148, 104, 152, 103, 151, 117, 165, 128, 176, 141, 189, 130, 178, 114, 162)(101, 149, 115, 163, 122, 170, 135, 183, 143, 191, 138, 186, 125, 173, 109, 157)(106, 154, 118, 166, 108, 156, 126, 174, 134, 182, 144, 192, 136, 184, 124, 172)(111, 159, 120, 168, 112, 160, 129, 177, 140, 188, 132, 180, 116, 164, 119, 167)
	L = (1, 100)(2, 106)(3, 111)(4, 113)(5, 107)(6, 116)(7, 97)(8, 119)(9, 101)(10, 123)(11, 125)(12, 98)(13, 124)(14, 103)(15, 102)(16, 99)(17, 130)(18, 132)(19, 118)(20, 131)(21, 120)(22, 109)(23, 114)(24, 104)(25, 108)(26, 105)(27, 136)(28, 138)(29, 137)(30, 115)(31, 112)(32, 110)(33, 117)(34, 139)(35, 140)(36, 141)(37, 122)(38, 121)(39, 126)(40, 142)(41, 143)(42, 144)(43, 128)(44, 127)(45, 129)(46, 134)(47, 133)(48, 135)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.749
Graph:: bipartite
	v = 14 e = 96 f = 28
	degree seq :: [ 12^8, 16^6 ]

E28.740 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8, 12})
Quotient :: dipole
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ R^2, (Y1 * Y2)^2, (R * Y1)^2, Y2^-2 * Y3^-2, (Y3 * Y1^-1)^2, (Y3 * Y1)^2, (Y2 * Y1^-1)^2, (R * Y3)^2, Y1^2 * Y3^-1 * Y2^3, (Y3 * Y1 * Y2)^2, Y3^-2 * Y2 * Y3^-1 * Y1^-2, (R * Y2 * Y3^-1)^2, Y1^-1 * R * Y2 * R * Y2 * Y1^-1, Y1^-2 * Y3^-1 * Y2 * Y3 * Y2^-1, (Y2^-1 * R * Y2^-1)^2, Y1^6, Y1^-1 * Y2^-2 * Y1^-1 * Y2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 26, 74, 23, 71, 5, 53)(3, 51, 13, 61, 39, 87, 46, 94, 27, 75, 11, 59)(4, 52, 17, 65, 43, 91, 47, 95, 28, 76, 12, 60)(6, 54, 21, 69, 41, 89, 44, 92, 29, 77, 9, 57)(7, 55, 22, 70, 42, 90, 45, 93, 30, 78, 10, 58)(14, 62, 35, 83, 24, 72, 33, 81, 20, 68, 38, 86)(15, 63, 32, 80, 18, 66, 34, 82, 48, 96, 40, 88)(16, 64, 37, 85, 25, 73, 36, 84, 19, 67, 31, 79)(97, 145, 99, 147, 110, 158, 124, 172, 144, 192, 126, 174, 115, 163, 102, 150)(98, 146, 105, 153, 127, 175, 141, 189, 136, 184, 143, 191, 131, 179, 107, 155)(100, 148, 114, 162, 103, 151, 121, 169, 137, 185, 119, 167, 135, 183, 116, 164)(101, 149, 117, 165, 132, 180, 106, 154, 130, 178, 108, 156, 134, 182, 109, 157)(104, 152, 123, 171, 120, 168, 139, 187, 111, 159, 138, 186, 112, 160, 125, 173)(113, 161, 129, 177, 142, 190, 122, 170, 140, 188, 133, 181, 118, 166, 128, 176)
	L = (1, 100)(2, 106)(3, 111)(4, 115)(5, 118)(6, 120)(7, 97)(8, 124)(9, 128)(10, 131)(11, 133)(12, 98)(13, 127)(14, 103)(15, 102)(16, 99)(17, 101)(18, 125)(19, 135)(20, 138)(21, 136)(22, 134)(23, 139)(24, 126)(25, 123)(26, 141)(27, 114)(28, 112)(29, 116)(30, 104)(31, 108)(32, 107)(33, 105)(34, 142)(35, 117)(36, 113)(37, 143)(38, 140)(39, 144)(40, 109)(41, 110)(42, 119)(43, 121)(44, 130)(45, 129)(46, 132)(47, 122)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.750
Graph:: bipartite
	v = 14 e = 96 f = 28
	degree seq :: [ 12^8, 16^6 ]

E28.741 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8, 12})
Quotient :: dipole
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ R^2, (R * Y1)^2, (Y1^-1 * Y2^-1)^2, Y3 * Y2^2 * Y3, (Y2 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, Y2 * Y3 * Y2 * Y3 * Y1^-2, Y1^-1 * Y3^-1 * Y2 * Y3^-2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1 * Y2^-1 * Y3 * Y1, Y1^6, Y1^-1 * Y2^-2 * Y3 * Y2^-1 * Y1^-1, Y2 * Y3 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y2 * Y1^2 * Y3 * Y2^-1, Y2^-2 * Y3 * Y1^-2 * Y3^-1 * Y2^-1 * Y3, Y3^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 26, 74, 23, 71, 5, 53)(3, 51, 13, 61, 39, 87, 46, 94, 27, 75, 11, 59)(4, 52, 17, 65, 40, 88, 47, 95, 28, 76, 12, 60)(6, 54, 21, 69, 41, 89, 44, 92, 29, 77, 9, 57)(7, 55, 22, 70, 43, 91, 45, 93, 30, 78, 10, 58)(14, 62, 35, 83, 20, 68, 38, 86, 24, 72, 33, 81)(15, 63, 32, 80, 48, 96, 42, 90, 18, 66, 34, 82)(16, 64, 37, 85, 19, 67, 31, 79, 25, 73, 36, 84)(97, 145, 99, 147, 110, 158, 136, 184, 144, 192, 139, 187, 115, 163, 102, 150)(98, 146, 105, 153, 127, 175, 118, 166, 138, 186, 113, 161, 131, 179, 107, 155)(100, 148, 114, 162, 103, 151, 121, 169, 125, 173, 104, 152, 123, 171, 116, 164)(101, 149, 117, 165, 133, 181, 141, 189, 128, 176, 143, 191, 129, 177, 109, 157)(106, 154, 130, 178, 108, 156, 134, 182, 142, 190, 122, 170, 140, 188, 132, 180)(111, 159, 126, 174, 112, 160, 137, 185, 119, 167, 135, 183, 120, 168, 124, 172)
	L = (1, 100)(2, 106)(3, 111)(4, 115)(5, 118)(6, 120)(7, 97)(8, 124)(9, 128)(10, 131)(11, 133)(12, 98)(13, 132)(14, 103)(15, 102)(16, 99)(17, 101)(18, 137)(19, 123)(20, 126)(21, 130)(22, 129)(23, 136)(24, 139)(25, 135)(26, 141)(27, 144)(28, 121)(29, 110)(30, 104)(31, 108)(32, 107)(33, 105)(34, 109)(35, 140)(36, 143)(37, 113)(38, 117)(39, 114)(40, 112)(41, 116)(42, 142)(43, 119)(44, 138)(45, 134)(46, 127)(47, 122)(48, 125)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.751
Graph:: bipartite
	v = 14 e = 96 f = 28
	degree seq :: [ 12^8, 16^6 ]

E28.742 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8, 12})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, (Y1, Y3), (Y2, Y1^-1), (Y3^-1 * Y1^-1)^2, Y1^-1 * Y3^-2 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y2 * Y3^-1 * Y2 * Y1 * Y3^-1, Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y3^-1, Y2^-2 * Y3^-1 * Y2 * Y3 * Y2^-1, Y1^-2 * Y2 * Y3^-2 * Y2^-1, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1 * Y3^-1 * Y1 * Y3^-1, Y2^-1 * Y1 * Y2^-2 * Y1^2 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 27, 75, 18, 66, 5, 53)(3, 51, 9, 57, 28, 76, 45, 93, 41, 89, 15, 63)(4, 52, 10, 58, 7, 55, 12, 60, 30, 78, 19, 67)(6, 54, 11, 59, 29, 77, 37, 85, 44, 92, 21, 69)(13, 61, 31, 79, 46, 94, 23, 71, 36, 84, 39, 87)(14, 62, 32, 80, 16, 64, 20, 68, 34, 82, 26, 74)(17, 65, 33, 81, 25, 73, 22, 70, 35, 83, 24, 72)(38, 86, 47, 95, 40, 88, 42, 90, 48, 96, 43, 91)(97, 145, 99, 147, 109, 157, 133, 181, 123, 171, 141, 189, 119, 167, 102, 150)(98, 146, 105, 153, 127, 175, 140, 188, 114, 162, 137, 185, 132, 180, 107, 155)(100, 148, 113, 161, 138, 186, 110, 158, 108, 156, 118, 166, 134, 182, 116, 164)(101, 149, 111, 159, 135, 183, 125, 173, 104, 152, 124, 172, 142, 190, 117, 165)(103, 151, 121, 169, 139, 187, 112, 160, 115, 163, 120, 168, 136, 184, 122, 170)(106, 154, 129, 177, 144, 192, 128, 176, 126, 174, 131, 179, 143, 191, 130, 178)
	L = (1, 100)(2, 106)(3, 110)(4, 114)(5, 115)(6, 118)(7, 97)(8, 103)(9, 128)(10, 101)(11, 131)(12, 98)(13, 134)(14, 137)(15, 122)(16, 99)(17, 107)(18, 126)(19, 123)(20, 105)(21, 121)(22, 140)(23, 138)(24, 102)(25, 133)(26, 141)(27, 108)(28, 112)(29, 120)(30, 104)(31, 143)(32, 111)(33, 125)(34, 124)(35, 117)(36, 144)(37, 113)(38, 132)(39, 139)(40, 109)(41, 130)(42, 127)(43, 119)(44, 129)(45, 116)(46, 136)(47, 135)(48, 142)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.753
Graph:: bipartite
	v = 14 e = 96 f = 28
	degree seq :: [ 12^8, 16^6 ]

E28.743 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8, 12})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^2, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1, Y2 * Y3^-1 * Y2 * Y1^-1, Y2^-1 * Y3 * Y1^-1 * Y2 * Y1 * Y3^-1, Y2^-1 * Y1^-1 * Y3^-1 * Y2^-3, Y2^3 * Y1 * Y2^-1 * Y1^-1, Y1^6, (R * Y2 * Y3^-1)^2, Y3 * Y2^3 * Y3^-1 * Y2^-1, Y2^2 * Y3^2 * Y2^-2 * Y1^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 23, 71, 18, 66, 5, 53)(3, 51, 13, 61, 24, 72, 41, 89, 35, 83, 16, 64)(4, 52, 10, 58, 7, 55, 12, 60, 26, 74, 19, 67)(6, 54, 21, 69, 25, 73, 43, 91, 38, 86, 17, 65)(9, 57, 27, 75, 39, 87, 37, 85, 20, 68, 29, 77)(11, 59, 31, 79, 40, 88, 36, 84, 15, 63, 30, 78)(14, 62, 32, 80, 42, 90, 48, 96, 45, 93, 34, 82)(22, 70, 28, 76, 44, 92, 47, 95, 46, 94, 33, 81)(97, 145, 99, 147, 110, 158, 125, 173, 106, 154, 126, 174, 118, 166, 102, 150)(98, 146, 105, 153, 124, 172, 109, 157, 103, 151, 117, 165, 128, 176, 107, 155)(100, 148, 113, 161, 130, 178, 111, 159, 101, 149, 116, 164, 129, 177, 112, 160)(104, 152, 120, 168, 138, 186, 123, 171, 108, 156, 127, 175, 140, 188, 121, 169)(114, 162, 131, 179, 141, 189, 133, 181, 115, 163, 132, 180, 142, 190, 134, 182)(119, 167, 135, 183, 143, 191, 137, 185, 122, 170, 139, 187, 144, 192, 136, 184)
	L = (1, 100)(2, 106)(3, 111)(4, 114)(5, 115)(6, 116)(7, 97)(8, 103)(9, 102)(10, 101)(11, 99)(12, 98)(13, 126)(14, 129)(15, 131)(16, 132)(17, 133)(18, 122)(19, 119)(20, 134)(21, 125)(22, 130)(23, 108)(24, 107)(25, 105)(26, 104)(27, 117)(28, 110)(29, 113)(30, 112)(31, 109)(32, 118)(33, 141)(34, 142)(35, 136)(36, 137)(37, 139)(38, 135)(39, 121)(40, 120)(41, 127)(42, 124)(43, 123)(44, 128)(45, 143)(46, 144)(47, 138)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.752
Graph:: bipartite
	v = 14 e = 96 f = 28
	degree seq :: [ 12^8, 16^6 ]

E28.744 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8, 12})
Quotient :: dipole
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1 * Y2 * Y1 * Y2^-1, (Y1^-1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, R * Y2 * Y1^-1 * R * Y2^-1, Y2 * Y3 * Y1 * Y2 * Y3, Y1^6, Y2^-1 * Y1^3 * Y2^-3, Y1^-1 * Y2 * Y3 * Y2^-3 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 21, 69, 17, 65, 5, 53)(3, 51, 11, 59, 29, 77, 41, 89, 22, 70, 8, 56)(4, 52, 14, 62, 35, 83, 42, 90, 23, 71, 9, 57)(6, 54, 18, 66, 37, 85, 32, 80, 24, 72, 10, 58)(12, 60, 25, 73, 39, 87, 20, 68, 28, 76, 30, 78)(13, 61, 16, 64, 27, 75, 44, 92, 47, 95, 31, 79)(15, 63, 26, 74, 43, 91, 48, 96, 38, 86, 19, 67)(33, 81, 34, 82, 46, 94, 36, 84, 40, 88, 45, 93)(97, 145, 99, 147, 108, 156, 128, 176, 117, 165, 137, 185, 116, 164, 102, 150)(98, 146, 104, 152, 121, 169, 133, 181, 113, 161, 125, 173, 124, 172, 106, 154)(100, 148, 111, 159, 132, 180, 143, 191, 138, 186, 144, 192, 129, 177, 112, 160)(101, 149, 107, 155, 126, 174, 120, 168, 103, 151, 118, 166, 135, 183, 114, 162)(105, 153, 122, 170, 142, 190, 127, 175, 131, 179, 134, 182, 141, 189, 123, 171)(109, 157, 110, 158, 115, 163, 136, 184, 140, 188, 119, 167, 139, 187, 130, 178)
	L = (1, 100)(2, 105)(3, 109)(4, 97)(5, 110)(6, 115)(7, 119)(8, 112)(9, 98)(10, 111)(11, 127)(12, 129)(13, 99)(14, 101)(15, 106)(16, 104)(17, 131)(18, 134)(19, 102)(20, 132)(21, 138)(22, 123)(23, 103)(24, 122)(25, 141)(26, 120)(27, 118)(28, 142)(29, 143)(30, 130)(31, 107)(32, 139)(33, 108)(34, 126)(35, 113)(36, 116)(37, 144)(38, 114)(39, 136)(40, 135)(41, 140)(42, 117)(43, 128)(44, 137)(45, 121)(46, 124)(47, 125)(48, 133)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.755
Graph:: bipartite
	v = 14 e = 96 f = 28
	degree seq :: [ 12^8, 16^6 ]

E28.745 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8, 12})
Quotient :: dipole
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y3)^2, (Y1^-1 * Y3)^2, (R * Y1)^2, R * Y2 * R * Y1^-1 * Y2^-1, Y3 * Y1^-1 * Y2^-1 * Y3 * Y2^-1, Y1^6, Y1^-1 * Y2^2 * Y1^-1 * Y2^2 * Y1^-1, Y1^-1 * Y3 * Y1 * Y2 * Y3 * Y2^-3, Y2^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 21, 69, 17, 65, 5, 53)(3, 51, 11, 59, 29, 77, 41, 89, 22, 70, 8, 56)(4, 52, 14, 62, 34, 82, 42, 90, 23, 71, 9, 57)(6, 54, 18, 66, 38, 86, 31, 79, 24, 72, 10, 58)(12, 60, 25, 73, 39, 87, 20, 68, 28, 76, 30, 78)(13, 61, 26, 74, 43, 91, 48, 96, 36, 84, 16, 64)(15, 63, 19, 67, 27, 75, 44, 92, 47, 95, 35, 83)(32, 80, 46, 94, 40, 88, 37, 85, 45, 93, 33, 81)(97, 145, 99, 147, 108, 156, 127, 175, 117, 165, 137, 185, 116, 164, 102, 150)(98, 146, 104, 152, 121, 169, 134, 182, 113, 161, 125, 173, 124, 172, 106, 154)(100, 148, 111, 159, 133, 181, 139, 187, 138, 186, 140, 188, 128, 176, 112, 160)(101, 149, 107, 155, 126, 174, 120, 168, 103, 151, 118, 166, 135, 183, 114, 162)(105, 153, 115, 163, 136, 184, 144, 192, 130, 178, 143, 191, 129, 177, 109, 157)(110, 158, 131, 179, 141, 189, 122, 170, 119, 167, 123, 171, 142, 190, 132, 180)
	L = (1, 100)(2, 105)(3, 109)(4, 97)(5, 110)(6, 115)(7, 119)(8, 122)(9, 98)(10, 123)(11, 112)(12, 128)(13, 99)(14, 101)(15, 114)(16, 107)(17, 130)(18, 111)(19, 102)(20, 133)(21, 138)(22, 139)(23, 103)(24, 140)(25, 129)(26, 104)(27, 106)(28, 136)(29, 132)(30, 142)(31, 143)(32, 108)(33, 121)(34, 113)(35, 134)(36, 125)(37, 116)(38, 131)(39, 141)(40, 124)(41, 144)(42, 117)(43, 118)(44, 120)(45, 135)(46, 126)(47, 127)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.754
Graph:: bipartite
	v = 14 e = 96 f = 28
	degree seq :: [ 12^8, 16^6 ]

E28.746 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8, 12})
Quotient :: dipole
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y1^-1, Y3^-1), (R * Y3)^2, (R * Y1)^2, Y2 * Y1 * Y2 * Y3^-2, Y2 * Y1^-1 * Y2 * Y3^2, Y1^2 * Y3^-4, (Y3^-1 * Y1^-1 * Y2)^2, Y1^-1 * Y3 * Y1^-1 * Y3^3, Y2 * Y1^2 * Y2 * Y1^-2, (R * Y2 * Y3^-1)^2, Y2 * Y1^2 * Y3^-1 * Y1 * Y2 * Y3, Y1^2 * Y3 * Y1 * Y3 * Y1^2, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, (Y3 * Y2)^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 23, 71, 47, 95, 22, 70, 33, 81, 16, 64, 31, 79, 45, 93, 19, 67, 5, 53)(3, 51, 11, 59, 24, 72, 48, 96, 41, 89, 18, 66, 29, 77, 8, 56, 27, 75, 42, 90, 38, 86, 13, 61)(4, 52, 9, 57, 25, 73, 46, 94, 20, 68, 6, 54, 10, 58, 26, 74, 39, 87, 36, 84, 44, 92, 17, 65)(12, 60, 34, 82, 43, 91, 32, 80, 30, 78, 14, 62, 35, 83, 28, 76, 21, 69, 15, 63, 40, 88, 37, 85)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 111, 159)(101, 149, 114, 162)(102, 150, 117, 165)(103, 151, 120, 168)(105, 153, 126, 174)(106, 154, 128, 176)(107, 155, 112, 160)(108, 156, 132, 180)(109, 157, 118, 166)(110, 158, 135, 183)(113, 161, 139, 187)(115, 163, 134, 182)(116, 164, 130, 178)(119, 167, 138, 186)(121, 169, 133, 181)(122, 170, 136, 184)(123, 171, 127, 175)(124, 172, 140, 188)(125, 173, 129, 177)(131, 179, 142, 190)(137, 185, 143, 191)(141, 189, 144, 192)
	L = (1, 100)(2, 105)(3, 108)(4, 112)(5, 113)(6, 97)(7, 121)(8, 124)(9, 127)(10, 98)(11, 130)(12, 104)(13, 133)(14, 99)(15, 137)(16, 122)(17, 129)(18, 110)(19, 140)(20, 101)(21, 144)(22, 102)(23, 142)(24, 139)(25, 141)(26, 103)(27, 117)(28, 120)(29, 131)(30, 109)(31, 135)(32, 134)(33, 106)(34, 123)(35, 107)(36, 143)(37, 125)(38, 136)(39, 119)(40, 114)(41, 126)(42, 111)(43, 138)(44, 118)(45, 132)(46, 115)(47, 116)(48, 128)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12, 16, 12, 16 ), ( 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.736
Graph:: simple bipartite
	v = 28 e = 96 f = 14
	degree seq :: [ 4^24, 24^4 ]

E28.747 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8, 12})
Quotient :: dipole
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3 * Y1^-1 * Y3, (R * Y3)^2, (R * Y1)^2, (Y2 * Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y1^2 * Y2 * Y1^-2 * Y2, Y3^-1 * Y2 * Y3^-1 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1^-1 * Y2 * Y3^-1 * Y2 * Y1 * Y2 * Y3, Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-4, (Y2 * R * Y2 * Y1^-1)^2, (Y3^-1 * Y1^-1)^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 19, 67, 42, 90, 30, 78, 45, 93, 27, 75, 43, 91, 38, 86, 16, 64, 5, 53)(3, 51, 10, 58, 20, 68, 36, 84, 34, 82, 15, 63, 24, 72, 8, 56, 22, 70, 41, 89, 31, 79, 12, 60)(4, 52, 9, 57, 21, 69, 29, 77, 44, 92, 48, 96, 47, 95, 46, 94, 32, 80, 39, 87, 17, 65, 6, 54)(11, 59, 28, 76, 35, 83, 14, 62, 33, 81, 37, 85, 25, 73, 23, 71, 18, 66, 40, 88, 26, 74, 13, 61)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 110, 158)(101, 149, 111, 159)(102, 150, 114, 162)(103, 151, 116, 164)(105, 153, 122, 170)(106, 154, 123, 171)(107, 155, 125, 173)(108, 156, 126, 174)(109, 157, 128, 176)(112, 160, 127, 175)(113, 161, 124, 172)(115, 163, 137, 185)(117, 165, 133, 181)(118, 166, 139, 187)(119, 167, 140, 188)(120, 168, 141, 189)(121, 169, 135, 183)(129, 177, 142, 190)(130, 178, 138, 186)(131, 179, 144, 192)(132, 180, 134, 182)(136, 184, 143, 191)
	L = (1, 100)(2, 105)(3, 107)(4, 98)(5, 102)(6, 97)(7, 117)(8, 119)(9, 103)(10, 124)(11, 106)(12, 109)(13, 99)(14, 130)(15, 133)(16, 113)(17, 101)(18, 137)(19, 125)(20, 131)(21, 115)(22, 114)(23, 118)(24, 121)(25, 104)(26, 108)(27, 142)(28, 116)(29, 138)(30, 144)(31, 122)(32, 134)(33, 111)(34, 129)(35, 132)(36, 110)(37, 120)(38, 135)(39, 112)(40, 127)(41, 136)(42, 140)(43, 128)(44, 126)(45, 143)(46, 139)(47, 123)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12, 16, 12, 16 ), ( 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.737
Graph:: simple bipartite
	v = 28 e = 96 f = 14
	degree seq :: [ 4^24, 24^4 ]

E28.748 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8, 12})
Quotient :: dipole
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y2 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y3^-1 * Y1^-2 * Y3^-1, Y2 * Y3^-1 * Y1^-1 * Y2 * Y3, R * Y2 * Y1 * R * Y2, Y1^3 * Y3^-2, (Y3^-1 * Y2 * Y3^-1)^2, Y1 * Y3^3 * Y1 * Y3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 16, 64, 29, 77, 40, 88, 46, 94, 43, 91, 39, 87, 24, 72, 19, 67, 5, 53)(3, 51, 11, 59, 32, 80, 35, 83, 42, 90, 48, 96, 47, 95, 44, 92, 45, 93, 38, 86, 25, 73, 8, 56)(4, 52, 14, 62, 10, 58, 30, 78, 20, 68, 9, 57, 28, 76, 18, 66, 23, 71, 6, 54, 21, 69, 17, 65)(12, 60, 34, 82, 33, 81, 31, 79, 27, 75, 15, 63, 41, 89, 26, 74, 22, 70, 13, 61, 37, 85, 36, 84)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 111, 159)(101, 149, 107, 155)(102, 150, 118, 166)(103, 151, 121, 169)(105, 153, 108, 156)(106, 154, 127, 175)(109, 157, 119, 167)(110, 158, 123, 171)(112, 160, 134, 182)(113, 161, 137, 185)(114, 162, 133, 181)(115, 163, 128, 176)(116, 164, 130, 178)(117, 165, 122, 170)(120, 168, 131, 179)(124, 172, 132, 180)(125, 173, 141, 189)(126, 174, 129, 177)(135, 183, 138, 186)(136, 184, 140, 188)(139, 187, 144, 192)(142, 190, 143, 191)
	L = (1, 100)(2, 105)(3, 108)(4, 112)(5, 114)(6, 97)(7, 117)(8, 122)(9, 125)(10, 98)(11, 111)(12, 131)(13, 99)(14, 135)(15, 138)(16, 126)(17, 115)(18, 103)(19, 106)(20, 101)(21, 136)(22, 140)(23, 139)(24, 102)(25, 129)(26, 128)(27, 104)(28, 120)(29, 119)(30, 142)(31, 143)(32, 133)(33, 107)(34, 141)(35, 127)(36, 121)(37, 144)(38, 109)(39, 116)(40, 110)(41, 134)(42, 118)(43, 113)(44, 132)(45, 123)(46, 124)(47, 137)(48, 130)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12, 16, 12, 16 ), ( 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.738
Graph:: simple bipartite
	v = 28 e = 96 f = 14
	degree seq :: [ 4^24, 24^4 ]

E28.749 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8, 12})
Quotient :: dipole
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y2 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y3^-1 * Y1^-2 * Y3^-1, Y2 * Y3 * Y1 * Y2 * Y3^-1, Y1^-2 * Y3^2 * Y1^-1, (Y3^-1 * Y2 * Y3^-1)^2, Y1 * Y3^3 * Y1 * Y3, (Y3^-1 * Y2 * Y1)^2, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 16, 64, 29, 77, 39, 87, 45, 93, 42, 90, 38, 86, 24, 72, 19, 67, 5, 53)(3, 51, 11, 59, 32, 80, 35, 83, 47, 95, 41, 89, 48, 96, 46, 94, 40, 88, 37, 85, 25, 73, 8, 56)(4, 52, 14, 62, 10, 58, 30, 78, 20, 68, 9, 57, 27, 75, 18, 66, 23, 71, 6, 54, 21, 69, 17, 65)(12, 60, 15, 63, 34, 82, 44, 92, 22, 70, 33, 81, 43, 91, 26, 74, 28, 76, 13, 61, 36, 84, 31, 79)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 111, 159)(101, 149, 107, 155)(102, 150, 118, 166)(103, 151, 121, 169)(105, 153, 124, 172)(106, 154, 127, 175)(108, 156, 110, 158)(109, 157, 116, 164)(112, 160, 133, 181)(113, 161, 130, 178)(114, 162, 139, 187)(115, 163, 128, 176)(117, 165, 140, 188)(119, 167, 129, 177)(120, 168, 131, 179)(122, 170, 123, 171)(125, 173, 136, 184)(126, 174, 132, 180)(134, 182, 143, 191)(135, 183, 142, 190)(137, 185, 138, 186)(141, 189, 144, 192)
	L = (1, 100)(2, 105)(3, 108)(4, 112)(5, 114)(6, 97)(7, 117)(8, 122)(9, 125)(10, 98)(11, 129)(12, 131)(13, 99)(14, 134)(15, 136)(16, 126)(17, 115)(18, 103)(19, 106)(20, 101)(21, 135)(22, 104)(23, 138)(24, 102)(25, 130)(26, 128)(27, 120)(28, 142)(29, 119)(30, 141)(31, 121)(32, 132)(33, 143)(34, 107)(35, 140)(36, 137)(37, 109)(38, 116)(39, 110)(40, 118)(41, 111)(42, 113)(43, 133)(44, 144)(45, 123)(46, 127)(47, 124)(48, 139)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12, 16, 12, 16 ), ( 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.739
Graph:: simple bipartite
	v = 28 e = 96 f = 14
	degree seq :: [ 4^24, 24^4 ]

E28.750 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8, 12})
Quotient :: dipole
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y1 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y3 * Y1^-1 * Y2 * Y3^-1, Y1^-1 * Y3^-1 * Y1^2 * Y3^-1, Y1^3 * Y3^2, Y1^-1 * Y3^3 * Y1^-1 * Y3, (R * Y2 * Y3^-1)^2, (Y3 * Y2 * Y3)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 24, 72, 31, 79, 39, 87, 46, 94, 43, 91, 42, 90, 16, 64, 19, 67, 5, 53)(3, 51, 11, 59, 32, 80, 38, 86, 40, 88, 48, 96, 47, 95, 41, 89, 45, 93, 35, 83, 25, 73, 8, 56)(4, 52, 14, 62, 23, 71, 6, 54, 21, 69, 9, 57, 28, 76, 18, 66, 10, 58, 30, 78, 20, 68, 17, 65)(12, 60, 34, 82, 37, 85, 13, 61, 36, 84, 33, 81, 29, 77, 26, 74, 22, 70, 44, 92, 27, 75, 15, 63)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 111, 159)(101, 149, 107, 155)(102, 150, 118, 166)(103, 151, 121, 169)(105, 153, 125, 173)(106, 154, 109, 157)(108, 156, 113, 161)(110, 158, 123, 171)(112, 160, 134, 182)(114, 162, 132, 180)(115, 163, 128, 176)(116, 164, 130, 178)(117, 165, 122, 170)(119, 167, 140, 188)(120, 168, 131, 179)(124, 172, 129, 177)(126, 174, 133, 181)(127, 175, 141, 189)(135, 183, 137, 185)(136, 184, 138, 186)(139, 187, 144, 192)(142, 190, 143, 191)
	L = (1, 100)(2, 105)(3, 108)(4, 112)(5, 114)(6, 97)(7, 116)(8, 122)(9, 115)(10, 98)(11, 129)(12, 131)(13, 99)(14, 103)(15, 136)(16, 126)(17, 127)(18, 138)(19, 119)(20, 101)(21, 135)(22, 107)(23, 139)(24, 102)(25, 133)(26, 141)(27, 104)(28, 120)(29, 134)(30, 142)(31, 106)(32, 123)(33, 121)(34, 128)(35, 140)(36, 144)(37, 137)(38, 109)(39, 110)(40, 118)(41, 111)(42, 117)(43, 113)(44, 143)(45, 132)(46, 124)(47, 125)(48, 130)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12, 16, 12, 16 ), ( 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.740
Graph:: simple bipartite
	v = 28 e = 96 f = 14
	degree seq :: [ 4^24, 24^4 ]

E28.751 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8, 12})
Quotient :: dipole
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y2 * Y1)^2, (R * Y1)^2, (R * Y3)^2, R * Y2 * R * Y1 * Y2, Y3 * Y2 * Y3^-1 * Y1 * Y2, Y1^3 * Y3^2, Y1^2 * Y3^-1 * Y1^-1 * Y3^-1, (Y3^-2 * Y2)^2, Y1 * Y3^-3 * Y1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 24, 72, 31, 79, 39, 87, 45, 93, 42, 90, 41, 89, 16, 64, 19, 67, 5, 53)(3, 51, 11, 59, 32, 80, 37, 85, 47, 95, 44, 92, 48, 96, 46, 94, 40, 88, 36, 84, 25, 73, 8, 56)(4, 52, 14, 62, 23, 71, 6, 54, 21, 69, 9, 57, 27, 75, 18, 66, 10, 58, 29, 77, 20, 68, 17, 65)(12, 60, 35, 83, 28, 76, 13, 61, 22, 70, 33, 81, 38, 86, 15, 63, 34, 82, 43, 91, 26, 74, 30, 78)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 111, 159)(101, 149, 107, 155)(102, 150, 118, 166)(103, 151, 121, 169)(105, 153, 124, 172)(106, 154, 126, 174)(108, 156, 114, 162)(109, 157, 117, 165)(110, 158, 134, 182)(112, 160, 133, 181)(113, 161, 130, 178)(115, 163, 128, 176)(116, 164, 139, 187)(119, 167, 129, 177)(120, 168, 132, 180)(122, 170, 125, 173)(123, 171, 131, 179)(127, 175, 136, 184)(135, 183, 142, 190)(137, 185, 143, 191)(138, 186, 140, 188)(141, 189, 144, 192)
	L = (1, 100)(2, 105)(3, 108)(4, 112)(5, 114)(6, 97)(7, 116)(8, 111)(9, 115)(10, 98)(11, 129)(12, 132)(13, 99)(14, 103)(15, 136)(16, 125)(17, 127)(18, 137)(19, 119)(20, 101)(21, 135)(22, 140)(23, 138)(24, 102)(25, 124)(26, 104)(27, 120)(28, 142)(29, 141)(30, 143)(31, 106)(32, 122)(33, 121)(34, 107)(35, 128)(36, 139)(37, 109)(38, 133)(39, 110)(40, 118)(41, 117)(42, 113)(43, 144)(44, 131)(45, 123)(46, 126)(47, 130)(48, 134)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12, 16, 12, 16 ), ( 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.741
Graph:: simple bipartite
	v = 28 e = 96 f = 14
	degree seq :: [ 4^24, 24^4 ]

E28.752 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8, 12})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2 * Y3 * Y2, Y1^-1 * Y2 * Y1 * Y2, Y1^-1 * Y3^-2 * Y2 * Y1^-1, (Y3 * Y1^-2)^2, Y3^6, Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y1^-1 * Y3, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 23, 71, 15, 63, 12, 60, 3, 51, 8, 56, 22, 70, 30, 78, 18, 66, 5, 53)(4, 52, 14, 62, 13, 61, 33, 81, 36, 84, 31, 79, 11, 59, 21, 69, 6, 54, 20, 68, 24, 72, 16, 64)(9, 57, 26, 74, 25, 73, 42, 90, 32, 80, 39, 87, 19, 67, 29, 77, 10, 58, 28, 76, 17, 65, 27, 75)(34, 82, 46, 94, 41, 89, 44, 92, 40, 88, 45, 93, 38, 86, 43, 91, 35, 83, 48, 96, 37, 85, 47, 95)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 107, 155)(101, 149, 108, 156)(102, 150, 109, 157)(103, 151, 118, 166)(105, 153, 115, 163)(106, 154, 121, 169)(110, 158, 117, 165)(111, 159, 114, 162)(112, 160, 127, 175)(113, 161, 128, 176)(116, 164, 129, 177)(119, 167, 126, 174)(120, 168, 132, 180)(122, 170, 125, 173)(123, 171, 135, 183)(124, 172, 138, 186)(130, 178, 134, 182)(131, 179, 137, 185)(133, 181, 136, 184)(139, 187, 142, 190)(140, 188, 144, 192)(141, 189, 143, 191)
	L = (1, 100)(2, 105)(3, 107)(4, 111)(5, 113)(6, 97)(7, 109)(8, 115)(9, 108)(10, 98)(11, 114)(12, 128)(13, 99)(14, 130)(15, 132)(16, 133)(17, 119)(18, 120)(19, 101)(20, 131)(21, 134)(22, 102)(23, 121)(24, 103)(25, 104)(26, 139)(27, 141)(28, 140)(29, 142)(30, 106)(31, 136)(32, 126)(33, 137)(34, 127)(35, 110)(36, 118)(37, 129)(38, 112)(39, 143)(40, 116)(41, 117)(42, 144)(43, 135)(44, 122)(45, 138)(46, 123)(47, 124)(48, 125)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12, 16, 12, 16 ), ( 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.743
Graph:: bipartite
	v = 28 e = 96 f = 14
	degree seq :: [ 4^24, 24^4 ]

E28.753 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8, 12})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1^2 * Y2 * Y3^-1, Y3^-1 * Y2 * Y3 * Y2, Y3 * Y1^-2 * Y2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3^6, Y1^-1 * Y3^2 * Y1^-1 * Y3^-1 * Y2, Y3^-1 * Y2 * Y3^-1 * Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1, Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1^-1, Y1^12 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 19, 67, 15, 63, 24, 72, 39, 87, 35, 83, 18, 66, 26, 74, 13, 61, 5, 53)(3, 51, 11, 59, 4, 52, 14, 62, 20, 68, 38, 86, 33, 81, 47, 95, 31, 79, 17, 65, 6, 54, 12, 60)(8, 56, 21, 69, 9, 57, 23, 71, 37, 85, 48, 96, 45, 93, 34, 82, 16, 64, 25, 73, 10, 58, 22, 70)(27, 75, 46, 94, 28, 76, 43, 91, 32, 80, 42, 90, 36, 84, 40, 88, 30, 78, 41, 89, 29, 77, 44, 92)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 103, 151)(101, 149, 106, 154)(102, 150, 109, 157)(105, 153, 115, 163)(107, 155, 123, 171)(108, 156, 125, 173)(110, 158, 124, 172)(111, 159, 116, 164)(112, 160, 122, 170)(113, 161, 126, 174)(114, 162, 127, 175)(117, 165, 136, 184)(118, 166, 138, 186)(119, 167, 137, 185)(120, 168, 133, 181)(121, 169, 139, 187)(128, 176, 134, 182)(129, 177, 135, 183)(130, 178, 142, 190)(131, 179, 141, 189)(132, 180, 143, 191)(140, 188, 144, 192)
	L = (1, 100)(2, 105)(3, 103)(4, 111)(5, 104)(6, 97)(7, 116)(8, 115)(9, 120)(10, 98)(11, 124)(12, 123)(13, 99)(14, 128)(15, 129)(16, 101)(17, 125)(18, 102)(19, 133)(20, 135)(21, 137)(22, 136)(23, 140)(24, 141)(25, 138)(26, 106)(27, 110)(28, 134)(29, 107)(30, 108)(31, 109)(32, 143)(33, 114)(34, 139)(35, 112)(36, 113)(37, 131)(38, 132)(39, 127)(40, 119)(41, 144)(42, 117)(43, 118)(44, 130)(45, 122)(46, 121)(47, 126)(48, 142)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12, 16, 12, 16 ), ( 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.742
Graph:: bipartite
	v = 28 e = 96 f = 14
	degree seq :: [ 4^24, 24^4 ]

E28.754 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8, 12})
Quotient :: dipole
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y3)^2, Y1 * Y3 * Y2 * Y1, (R * Y1)^2, (R * Y2 * Y3)^2, Y3 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1 * Y2 * Y1^-1, Y2 * R * Y2 * Y1 * Y2 * R * Y3 * Y1^-1, Y1^12, (Y2 * Y3)^6, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 6, 54, 14, 62, 26, 74, 38, 86, 46, 94, 45, 93, 36, 84, 24, 72, 12, 60, 5, 53)(3, 51, 9, 57, 4, 52, 11, 59, 22, 70, 35, 83, 44, 92, 48, 96, 39, 87, 28, 76, 15, 63, 10, 58)(7, 55, 16, 64, 8, 56, 18, 66, 13, 61, 25, 73, 37, 85, 43, 91, 47, 95, 40, 88, 27, 75, 17, 65)(19, 67, 33, 81, 20, 68, 34, 82, 21, 69, 32, 80, 41, 89, 29, 77, 42, 90, 30, 78, 23, 71, 31, 79)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 108, 156)(101, 149, 104, 152)(102, 150, 111, 159)(105, 153, 115, 163)(106, 154, 116, 164)(107, 155, 119, 167)(109, 157, 120, 168)(110, 158, 123, 171)(112, 160, 125, 173)(113, 161, 126, 174)(114, 162, 128, 176)(117, 165, 124, 172)(118, 166, 132, 180)(121, 169, 130, 178)(122, 170, 135, 183)(127, 175, 136, 184)(129, 177, 139, 187)(131, 179, 138, 186)(133, 181, 141, 189)(134, 182, 143, 191)(137, 185, 144, 192)(140, 188, 142, 190)
	L = (1, 100)(2, 104)(3, 102)(4, 97)(5, 109)(6, 99)(7, 110)(8, 98)(9, 116)(10, 117)(11, 115)(12, 118)(13, 101)(14, 103)(15, 122)(16, 126)(17, 127)(18, 125)(19, 107)(20, 105)(21, 106)(22, 108)(23, 131)(24, 133)(25, 128)(26, 111)(27, 134)(28, 137)(29, 114)(30, 112)(31, 113)(32, 121)(33, 136)(34, 139)(35, 119)(36, 140)(37, 120)(38, 123)(39, 142)(40, 129)(41, 124)(42, 144)(43, 130)(44, 132)(45, 143)(46, 135)(47, 141)(48, 138)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12, 16, 12, 16 ), ( 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.745
Graph:: bipartite
	v = 28 e = 96 f = 14
	degree seq :: [ 4^24, 24^4 ]

E28.755 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8, 12})
Quotient :: dipole
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^2 * Y2 * Y3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, Y1^-1 * Y3 * R * Y2 * Y1 * Y2 * R * Y2, Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y3 * Y1^-1, Y3 * Y2 * Y1^10, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^2 * Y3 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 6, 54, 14, 62, 26, 74, 38, 86, 46, 94, 44, 92, 34, 82, 22, 70, 10, 58, 5, 53)(3, 51, 9, 57, 19, 67, 33, 81, 43, 91, 48, 96, 39, 87, 28, 76, 15, 63, 12, 60, 4, 52, 11, 59)(7, 55, 16, 64, 13, 61, 25, 73, 36, 84, 45, 93, 47, 95, 40, 88, 27, 75, 18, 66, 8, 56, 17, 65)(20, 68, 35, 83, 23, 71, 37, 85, 24, 72, 30, 78, 41, 89, 29, 77, 42, 90, 31, 79, 21, 69, 32, 80)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 102, 150)(101, 149, 109, 157)(104, 152, 110, 158)(105, 153, 116, 164)(106, 154, 115, 163)(107, 155, 119, 167)(108, 156, 120, 168)(111, 159, 122, 170)(112, 160, 125, 173)(113, 161, 127, 175)(114, 162, 128, 176)(117, 165, 129, 177)(118, 166, 132, 180)(121, 169, 126, 174)(123, 171, 134, 182)(124, 172, 137, 185)(130, 178, 139, 187)(131, 179, 136, 184)(133, 181, 141, 189)(135, 183, 142, 190)(138, 186, 144, 192)(140, 188, 143, 191)
	L = (1, 100)(2, 104)(3, 106)(4, 97)(5, 103)(6, 111)(7, 101)(8, 98)(9, 117)(10, 99)(11, 116)(12, 119)(13, 118)(14, 123)(15, 102)(16, 126)(17, 125)(18, 127)(19, 130)(20, 107)(21, 105)(22, 109)(23, 108)(24, 124)(25, 133)(26, 135)(27, 110)(28, 120)(29, 113)(30, 112)(31, 114)(32, 136)(33, 138)(34, 115)(35, 141)(36, 140)(37, 121)(38, 143)(39, 122)(40, 128)(41, 144)(42, 129)(43, 142)(44, 132)(45, 131)(46, 139)(47, 134)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12, 16, 12, 16 ), ( 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.744
Graph:: bipartite
	v = 28 e = 96 f = 14
	degree seq :: [ 4^24, 24^4 ]

E28.756 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8, 12})
Quotient :: dipole
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, (Y1 * Y2^-1)^2, Y2^2 * Y1 * Y3, (Y3^-1 * Y2)^2, Y1^-1 * Y2^-1 * Y3 * Y2, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y3^-1 * Y2^2, Y2^2 * Y3^-1 * Y1 * Y3^-1 * Y1, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y3 * Y2^-2 * Y1^-1, Y3^-1 * Y1^-1 * Y2^2 * Y3 * Y1^-3, Y1^8, Y1^-2 * Y2^6 * Y3^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 22, 70, 38, 86, 37, 85, 17, 65, 5, 53)(3, 51, 13, 61, 31, 79, 45, 93, 47, 95, 40, 88, 23, 71, 11, 59)(4, 52, 14, 62, 7, 55, 21, 69, 25, 73, 43, 91, 36, 84, 18, 66)(6, 54, 19, 67, 32, 80, 46, 94, 48, 96, 39, 87, 24, 72, 9, 57)(10, 58, 26, 74, 12, 60, 30, 78, 41, 89, 34, 82, 20, 68, 29, 77)(15, 63, 33, 81, 16, 64, 27, 75, 44, 92, 28, 76, 42, 90, 35, 83)(97, 145, 99, 147, 110, 158, 129, 177, 137, 185, 144, 192, 134, 182, 143, 191, 139, 187, 124, 172, 106, 154, 102, 150)(98, 146, 105, 153, 122, 170, 140, 188, 132, 180, 141, 189, 133, 181, 142, 190, 130, 178, 111, 159, 103, 151, 107, 155)(100, 148, 109, 157, 101, 149, 115, 163, 125, 173, 138, 186, 121, 169, 136, 184, 118, 166, 135, 183, 126, 174, 112, 160)(104, 152, 119, 167, 117, 165, 131, 179, 116, 164, 128, 176, 113, 161, 127, 175, 114, 162, 123, 171, 108, 156, 120, 168)
	L = (1, 100)(2, 106)(3, 111)(4, 113)(5, 116)(6, 107)(7, 97)(8, 103)(9, 123)(10, 101)(11, 120)(12, 98)(13, 102)(14, 126)(15, 119)(16, 99)(17, 132)(18, 122)(19, 124)(20, 133)(21, 130)(22, 108)(23, 138)(24, 136)(25, 104)(26, 139)(27, 135)(28, 105)(29, 117)(30, 114)(31, 112)(32, 109)(33, 142)(34, 110)(35, 115)(36, 134)(37, 137)(38, 121)(39, 129)(40, 144)(41, 118)(42, 143)(43, 125)(44, 127)(45, 128)(46, 131)(47, 140)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.733
Graph:: bipartite
	v = 10 e = 96 f = 32
	degree seq :: [ 16^6, 24^4 ]

E28.757 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8, 12})
Quotient :: dipole
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1 * Y2^2, (Y3^-1 * Y2)^2, Y2^-1 * Y1 * Y3 * Y2^-1, (Y2^-1 * Y1)^2, (R * Y1)^2, Y1^-1 * Y2 * Y3 * Y2^-1, (R * Y3)^2, Y2^-2 * Y1^-1 * Y3^-1, Y3 * Y1^2 * Y3, (Y1^-1 * Y2^-1)^2, Y3 * Y2^2 * Y1^-1 * Y3 * Y1^-1, Y1^-1 * Y2^-2 * Y3 * Y1^-1 * Y3, (R * Y2 * Y3^-1)^2, Y3^8, Y1^8, Y1^-1 * Y3^-1 * Y2^10 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 22, 70, 38, 86, 37, 85, 17, 65, 5, 53)(3, 51, 13, 61, 31, 79, 45, 93, 47, 95, 40, 88, 23, 71, 11, 59)(4, 52, 15, 63, 7, 55, 21, 69, 25, 73, 43, 91, 36, 84, 18, 66)(6, 54, 14, 62, 33, 81, 46, 94, 48, 96, 39, 87, 24, 72, 9, 57)(10, 58, 26, 74, 12, 60, 30, 78, 41, 89, 35, 83, 19, 67, 28, 76)(16, 64, 29, 77, 44, 92, 27, 75, 42, 90, 32, 80, 20, 68, 34, 82)(97, 145, 99, 147, 106, 154, 123, 171, 139, 187, 144, 192, 134, 182, 143, 191, 137, 185, 130, 178, 111, 159, 102, 150)(98, 146, 105, 153, 103, 151, 116, 164, 131, 179, 141, 189, 133, 181, 142, 190, 132, 180, 140, 188, 122, 170, 107, 155)(100, 148, 112, 160, 126, 174, 136, 184, 118, 166, 135, 183, 121, 169, 138, 186, 124, 172, 109, 157, 101, 149, 110, 158)(104, 152, 119, 167, 108, 156, 125, 173, 114, 162, 129, 177, 113, 161, 127, 175, 115, 163, 128, 176, 117, 165, 120, 168)
	L = (1, 100)(2, 106)(3, 105)(4, 113)(5, 115)(6, 116)(7, 97)(8, 103)(9, 119)(10, 101)(11, 125)(12, 98)(13, 123)(14, 99)(15, 126)(16, 102)(17, 132)(18, 122)(19, 133)(20, 120)(21, 131)(22, 108)(23, 135)(24, 138)(25, 104)(26, 139)(27, 107)(28, 117)(29, 136)(30, 114)(31, 110)(32, 109)(33, 112)(34, 141)(35, 111)(36, 134)(37, 137)(38, 121)(39, 143)(40, 130)(41, 118)(42, 144)(43, 124)(44, 129)(45, 128)(46, 127)(47, 142)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.732
Graph:: bipartite
	v = 10 e = 96 f = 32
	degree seq :: [ 16^6, 24^4 ]

E28.758 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8, 12})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3^-2, (Y3^-1 * Y2)^2, (Y3^-1, Y2^-1), (R * Y2)^2, (R * Y1)^2, Y2 * Y1^-1 * Y3^-1 * Y1^-1, (R * Y3)^2, Y3 * Y1^-1 * Y2^-1 * Y1^-1, Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^-2, Y3^-1 * Y2 * Y1 * Y3 * Y2^-1 * Y1^-1, Y2^-4 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 23, 71, 16, 64, 30, 78, 18, 66, 5, 53)(3, 51, 13, 61, 25, 73, 9, 57, 4, 52, 17, 65, 24, 72, 10, 58)(6, 54, 20, 68, 27, 75, 11, 59, 7, 55, 19, 67, 26, 74, 12, 60)(14, 62, 28, 76, 39, 87, 33, 81, 15, 63, 29, 77, 40, 88, 34, 82)(21, 69, 31, 79, 41, 89, 38, 86, 22, 70, 32, 80, 42, 90, 37, 85)(35, 83, 45, 93, 48, 96, 43, 91, 36, 84, 46, 94, 47, 95, 44, 92)(97, 145, 99, 147, 110, 158, 131, 179, 118, 166, 103, 151, 112, 160, 100, 148, 111, 159, 132, 180, 117, 165, 102, 150)(98, 146, 105, 153, 124, 172, 139, 187, 128, 176, 108, 156, 126, 174, 106, 154, 125, 173, 140, 188, 127, 175, 107, 155)(101, 149, 113, 161, 130, 178, 142, 190, 134, 182, 116, 164, 119, 167, 109, 157, 129, 177, 141, 189, 133, 181, 115, 163)(104, 152, 120, 168, 135, 183, 143, 191, 138, 186, 123, 171, 114, 162, 121, 169, 136, 184, 144, 192, 137, 185, 122, 170)
	L = (1, 100)(2, 106)(3, 111)(4, 110)(5, 109)(6, 112)(7, 97)(8, 121)(9, 125)(10, 124)(11, 126)(12, 98)(13, 130)(14, 132)(15, 131)(16, 99)(17, 129)(18, 120)(19, 119)(20, 101)(21, 103)(22, 102)(23, 113)(24, 136)(25, 135)(26, 114)(27, 104)(28, 140)(29, 139)(30, 105)(31, 108)(32, 107)(33, 142)(34, 141)(35, 117)(36, 118)(37, 116)(38, 115)(39, 144)(40, 143)(41, 123)(42, 122)(43, 127)(44, 128)(45, 134)(46, 133)(47, 137)(48, 138)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.735
Graph:: bipartite
	v = 10 e = 96 f = 32
	degree seq :: [ 16^6, 24^4 ]

E28.759 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8, 12})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^3, (Y3^-1, Y1^-1), (Y3, Y1), (Y3, Y1^-1), Y2^2 * Y1 * Y3, Y3 * Y1 * Y2^2, (R * Y3)^2, (Y2 * Y3^-1)^2, (R * Y1)^2, Y3^-2 * Y1 * Y3^-1, Y2^-1 * Y3^-1 * Y2^-1 * Y1^-3, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^2 * Y1 * Y2^-1 * Y1^-1, Y2 * Y1 * R * Y2^-1 * R * Y3, Y2^-1 * Y3^-1 * Y2^-1 * Y1^5, Y1^-2 * Y2^8 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 24, 72, 42, 90, 39, 87, 21, 69, 5, 53)(3, 51, 13, 61, 31, 79, 9, 57, 29, 77, 20, 68, 25, 73, 16, 64)(4, 52, 10, 58, 26, 74, 43, 91, 41, 89, 48, 96, 38, 86, 19, 67)(6, 54, 22, 70, 30, 78, 11, 59, 33, 81, 18, 66, 27, 75, 15, 63)(7, 55, 12, 60, 28, 76, 44, 92, 40, 88, 47, 95, 37, 85, 14, 62)(17, 65, 35, 83, 23, 71, 32, 80, 46, 94, 34, 82, 45, 93, 36, 84)(97, 145, 99, 147, 110, 158, 132, 180, 144, 192, 129, 177, 138, 186, 125, 173, 140, 188, 128, 176, 106, 154, 102, 150)(98, 146, 105, 153, 103, 151, 119, 167, 134, 182, 111, 159, 135, 183, 112, 160, 136, 184, 141, 189, 122, 170, 107, 155)(100, 148, 114, 162, 101, 149, 116, 164, 133, 181, 142, 190, 137, 185, 118, 166, 120, 168, 109, 157, 124, 172, 113, 161)(104, 152, 121, 169, 108, 156, 130, 178, 115, 163, 126, 174, 117, 165, 127, 175, 143, 191, 131, 179, 139, 187, 123, 171)
	L = (1, 100)(2, 106)(3, 111)(4, 108)(5, 115)(6, 119)(7, 97)(8, 122)(9, 126)(10, 124)(11, 130)(12, 98)(13, 102)(14, 101)(15, 131)(16, 123)(17, 99)(18, 132)(19, 103)(20, 129)(21, 134)(22, 128)(23, 127)(24, 139)(25, 114)(26, 140)(27, 113)(28, 104)(29, 107)(30, 142)(31, 118)(32, 105)(33, 141)(34, 116)(35, 109)(36, 112)(37, 117)(38, 110)(39, 144)(40, 138)(41, 143)(42, 137)(43, 136)(44, 120)(45, 121)(46, 125)(47, 135)(48, 133)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.734
Graph:: bipartite
	v = 10 e = 96 f = 32
	degree seq :: [ 16^6, 24^4 ]

E28.760 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8, 12})
Quotient :: dipole
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2^-1 * Y1)^2, Y2^-1 * Y3 * Y2^-1 * Y3^-1, (R * Y1)^2, R * Y2 * R * Y2^-1, (R * Y3)^2, Y3^6, Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1, Y3^-2 * Y1 * Y3^2 * Y1, Y3^-1 * Y2 * Y3^-2 * Y1 * Y2^-1, Y2^8, Y1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 14, 62)(5, 53, 7, 55)(6, 54, 19, 67)(8, 56, 24, 72)(10, 58, 29, 77)(11, 59, 27, 75)(12, 60, 34, 82)(13, 61, 36, 84)(15, 63, 37, 85)(16, 64, 26, 74)(17, 65, 21, 69)(18, 66, 35, 83)(20, 68, 30, 78)(22, 70, 43, 91)(23, 71, 45, 93)(25, 73, 46, 94)(28, 76, 44, 92)(31, 79, 48, 96)(32, 80, 41, 89)(33, 81, 42, 90)(38, 86, 47, 95)(39, 87, 40, 88)(97, 145, 99, 147, 107, 155, 127, 175, 143, 191, 135, 183, 113, 161, 101, 149)(98, 146, 103, 151, 117, 165, 136, 184, 134, 182, 144, 192, 123, 171, 105, 153)(100, 148, 111, 159, 126, 174, 142, 190, 120, 168, 139, 187, 128, 176, 108, 156)(102, 150, 114, 162, 122, 170, 140, 188, 125, 173, 141, 189, 129, 177, 109, 157)(104, 152, 121, 169, 116, 164, 133, 181, 110, 158, 130, 178, 137, 185, 118, 166)(106, 154, 124, 172, 112, 160, 131, 179, 115, 163, 132, 180, 138, 186, 119, 167)
	L = (1, 100)(2, 104)(3, 108)(4, 112)(5, 111)(6, 97)(7, 118)(8, 122)(9, 121)(10, 98)(11, 128)(12, 131)(13, 99)(14, 129)(15, 124)(16, 123)(17, 126)(18, 101)(19, 134)(20, 102)(21, 137)(22, 140)(23, 103)(24, 138)(25, 114)(26, 113)(27, 116)(28, 105)(29, 143)(30, 106)(31, 139)(32, 115)(33, 107)(34, 141)(35, 144)(36, 136)(37, 109)(38, 110)(39, 142)(40, 130)(41, 125)(42, 117)(43, 132)(44, 135)(45, 127)(46, 119)(47, 120)(48, 133)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.764
Graph:: simple bipartite
	v = 30 e = 96 f = 12
	degree seq :: [ 4^24, 16^6 ]

E28.761 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8, 12})
Quotient :: dipole
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y2^-1 * Y3^-1 * Y2^-1, (Y2^-1 * Y1)^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, Y2 * Y3 * Y2^-1 * Y3^2 * Y1, Y3^2 * Y1 * Y3^-2 * Y1, Y3^6, Y2 * Y3^-1 * Y2^-1 * Y3^-2 * Y1, Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1, Y2^8, Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y2 * Y1, (Y3^-1 * Y1 * Y3 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 14, 62)(5, 53, 7, 55)(6, 54, 19, 67)(8, 56, 24, 72)(10, 58, 29, 77)(11, 59, 27, 75)(12, 60, 32, 80)(13, 61, 33, 81)(15, 63, 35, 83)(16, 64, 26, 74)(17, 65, 21, 69)(18, 66, 39, 87)(20, 68, 30, 78)(22, 70, 41, 89)(23, 71, 42, 90)(25, 73, 44, 92)(28, 76, 48, 96)(31, 79, 47, 95)(34, 82, 43, 91)(36, 84, 45, 93)(37, 85, 46, 94)(38, 86, 40, 88)(97, 145, 99, 147, 107, 155, 127, 175, 141, 189, 134, 182, 113, 161, 101, 149)(98, 146, 103, 151, 117, 165, 136, 184, 132, 180, 143, 191, 123, 171, 105, 153)(100, 148, 111, 159, 133, 181, 140, 188, 120, 168, 137, 185, 126, 174, 108, 156)(102, 150, 114, 162, 130, 178, 144, 192, 125, 173, 138, 186, 122, 170, 109, 157)(104, 152, 121, 169, 142, 190, 131, 179, 110, 158, 128, 176, 116, 164, 118, 166)(106, 154, 124, 172, 139, 187, 135, 183, 115, 163, 129, 177, 112, 160, 119, 167)
	L = (1, 100)(2, 104)(3, 108)(4, 112)(5, 111)(6, 97)(7, 118)(8, 122)(9, 121)(10, 98)(11, 126)(12, 119)(13, 99)(14, 130)(15, 129)(16, 117)(17, 133)(18, 101)(19, 132)(20, 102)(21, 116)(22, 109)(23, 103)(24, 139)(25, 138)(26, 107)(27, 142)(28, 105)(29, 141)(30, 106)(31, 137)(32, 114)(33, 136)(34, 113)(35, 144)(36, 110)(37, 115)(38, 140)(39, 143)(40, 128)(41, 124)(42, 127)(43, 123)(44, 135)(45, 120)(46, 125)(47, 131)(48, 134)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.765
Graph:: simple bipartite
	v = 30 e = 96 f = 12
	degree seq :: [ 4^24, 16^6 ]

E28.762 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8, 12})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y1 * Y3 * Y1 * Y3^-1, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, Y2^4 * Y1, Y3^-1 * Y1 * Y2 * Y3 * Y2, R * Y2 * Y1 * R * Y2^-1, Y3 * Y1 * Y2 * Y3^-1 * Y2, Y1 * Y3^-6, (Y3^-1 * Y2 * Y3^-2)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 8, 56)(5, 53, 9, 57)(6, 54, 10, 58)(11, 59, 18, 66)(12, 60, 16, 64)(13, 61, 21, 69)(14, 62, 17, 65)(15, 63, 23, 71)(19, 67, 20, 68)(22, 70, 24, 72)(25, 73, 28, 76)(26, 74, 29, 77)(27, 75, 34, 82)(30, 78, 37, 85)(31, 79, 33, 81)(32, 80, 38, 86)(35, 83, 36, 84)(39, 87, 42, 90)(40, 88, 43, 91)(41, 89, 44, 92)(45, 93, 46, 94)(47, 95, 48, 96)(97, 145, 99, 147, 107, 155, 105, 153, 98, 146, 103, 151, 114, 162, 101, 149)(100, 148, 110, 158, 124, 172, 108, 156, 104, 152, 113, 161, 121, 169, 112, 160)(102, 150, 116, 164, 125, 173, 109, 157, 106, 154, 115, 163, 122, 170, 117, 165)(111, 159, 123, 171, 135, 183, 127, 175, 119, 167, 130, 178, 138, 186, 129, 177)(118, 166, 126, 174, 136, 184, 132, 180, 120, 168, 133, 181, 139, 187, 131, 179)(128, 176, 141, 189, 144, 192, 137, 185, 134, 182, 142, 190, 143, 191, 140, 188)
	L = (1, 100)(2, 104)(3, 108)(4, 111)(5, 113)(6, 97)(7, 112)(8, 119)(9, 110)(10, 98)(11, 121)(12, 123)(13, 99)(14, 127)(15, 128)(16, 130)(17, 129)(18, 124)(19, 101)(20, 105)(21, 103)(22, 102)(23, 134)(24, 106)(25, 135)(26, 107)(27, 137)(28, 138)(29, 114)(30, 109)(31, 141)(32, 120)(33, 142)(34, 140)(35, 115)(36, 116)(37, 117)(38, 118)(39, 143)(40, 122)(41, 133)(42, 144)(43, 125)(44, 126)(45, 131)(46, 132)(47, 139)(48, 136)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.767
Graph:: bipartite
	v = 30 e = 96 f = 12
	degree seq :: [ 4^24, 16^6 ]

E28.763 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8, 12})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-3 * Y2^-1, (Y2, Y3), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2 * Y1 * Y2^-3 * Y1, Y2 * Y3^-1 * Y1 * Y3 * Y2^-1 * Y1, Y2^-1 * Y1 * Y3 * Y1 * Y2^-1 * Y3^-1, (Y1 * Y2)^4, Y2^-2 * Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2^-1, (Y2^-1 * Y3)^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 15, 63)(5, 53, 18, 66)(6, 54, 20, 68)(7, 55, 21, 69)(8, 56, 25, 73)(9, 57, 28, 76)(10, 58, 30, 78)(12, 60, 29, 77)(13, 61, 35, 83)(14, 62, 24, 72)(16, 64, 33, 81)(17, 65, 27, 75)(19, 67, 22, 70)(23, 71, 42, 90)(26, 74, 40, 88)(31, 79, 38, 86)(32, 80, 39, 87)(34, 82, 46, 94)(36, 84, 45, 93)(37, 85, 44, 92)(41, 89, 48, 96)(43, 91, 47, 95)(97, 145, 99, 147, 108, 156, 117, 165, 134, 182, 124, 172, 115, 163, 101, 149)(98, 146, 103, 151, 118, 166, 107, 155, 127, 175, 114, 162, 125, 173, 105, 153)(100, 148, 109, 157, 121, 169, 135, 183, 143, 191, 138, 186, 132, 180, 113, 161)(102, 150, 110, 158, 130, 178, 136, 184, 144, 192, 140, 188, 126, 174, 112, 160)(104, 152, 119, 167, 111, 159, 128, 176, 141, 189, 131, 179, 139, 187, 123, 171)(106, 154, 120, 168, 137, 185, 129, 177, 142, 190, 133, 181, 116, 164, 122, 170)
	L = (1, 100)(2, 104)(3, 109)(4, 112)(5, 113)(6, 97)(7, 119)(8, 122)(9, 123)(10, 98)(11, 128)(12, 121)(13, 102)(14, 99)(15, 120)(16, 101)(17, 126)(18, 131)(19, 132)(20, 125)(21, 135)(22, 111)(23, 106)(24, 103)(25, 110)(26, 105)(27, 116)(28, 138)(29, 139)(30, 115)(31, 141)(32, 137)(33, 107)(34, 108)(35, 142)(36, 140)(37, 114)(38, 143)(39, 130)(40, 117)(41, 118)(42, 144)(43, 133)(44, 124)(45, 129)(46, 127)(47, 136)(48, 134)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.766
Graph:: simple bipartite
	v = 30 e = 96 f = 12
	degree seq :: [ 4^24, 16^6 ]

E28.764 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8, 12})
Quotient :: dipole
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2 * Y3, (R * Y2)^2, (Y1^-1 * Y2^-1)^2, (Y1^-1 * Y2^-1)^2, (R * Y3)^2, (Y1 * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2^-1 * Y1^-1 * Y2^2 * Y1 * Y2^-1, (Y2^-2 * Y1)^2, Y2^-1 * Y1 * Y2^-1 * Y1^3, Y1^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y2, Y1^-1 * Y2^4 * Y1^-1, Y2^-1 * Y1 * Y2^-1 * Y1^-3, (Y3 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 26, 74, 22, 70, 5, 53)(3, 51, 13, 61, 27, 75, 11, 59, 36, 84, 15, 63)(4, 52, 17, 65, 28, 76, 12, 60, 38, 86, 18, 66)(6, 54, 23, 71, 29, 77, 20, 68, 32, 80, 9, 57)(7, 55, 25, 73, 30, 78, 21, 69, 34, 82, 10, 58)(14, 62, 31, 79, 46, 94, 40, 88, 24, 72, 37, 85)(16, 64, 35, 83, 47, 95, 42, 90, 45, 93, 39, 87)(19, 67, 33, 81, 41, 89, 44, 92, 48, 96, 43, 91)(97, 145, 99, 147, 110, 158, 125, 173, 104, 152, 123, 171, 142, 190, 128, 176, 118, 166, 132, 180, 120, 168, 102, 150)(98, 146, 105, 153, 127, 175, 111, 159, 122, 170, 119, 167, 136, 184, 109, 157, 101, 149, 116, 164, 133, 181, 107, 155)(100, 148, 103, 151, 112, 160, 137, 185, 124, 172, 126, 174, 143, 191, 144, 192, 134, 182, 130, 178, 141, 189, 115, 163)(106, 154, 108, 156, 129, 177, 138, 186, 121, 169, 114, 162, 140, 188, 135, 183, 117, 165, 113, 161, 139, 187, 131, 179)
	L = (1, 100)(2, 106)(3, 103)(4, 102)(5, 117)(6, 115)(7, 97)(8, 124)(9, 108)(10, 107)(11, 131)(12, 98)(13, 135)(14, 112)(15, 138)(16, 99)(17, 101)(18, 122)(19, 120)(20, 113)(21, 109)(22, 134)(23, 114)(24, 141)(25, 111)(26, 121)(27, 126)(28, 125)(29, 137)(30, 104)(31, 129)(32, 144)(33, 105)(34, 118)(35, 133)(36, 130)(37, 139)(38, 128)(39, 136)(40, 140)(41, 110)(42, 127)(43, 116)(44, 119)(45, 132)(46, 143)(47, 123)(48, 142)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.760
Graph:: bipartite
	v = 12 e = 96 f = 30
	degree seq :: [ 12^8, 24^4 ]

E28.765 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8, 12})
Quotient :: dipole
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ R^2, (Y1 * Y2)^2, (Y2, Y3^-1), (R * Y2)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y1^2 * Y3^-2, Y1 * Y2^-1 * Y1^-1 * Y3^-2, Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y2, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-2, Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-2, Y3 * Y2^2 * Y3^3, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 30, 78, 24, 72, 5, 53)(3, 51, 13, 61, 19, 67, 11, 59, 36, 84, 16, 64)(4, 52, 18, 66, 31, 79, 12, 60, 17, 65, 20, 68)(6, 54, 25, 73, 32, 80, 22, 70, 29, 77, 9, 57)(7, 55, 28, 76, 21, 69, 23, 71, 35, 83, 10, 58)(14, 62, 33, 81, 44, 92, 39, 87, 26, 74, 37, 85)(15, 63, 43, 91, 45, 93, 40, 88, 42, 90, 38, 86)(27, 75, 47, 95, 46, 94, 34, 82, 41, 89, 48, 96)(97, 145, 99, 147, 110, 158, 128, 176, 104, 152, 115, 163, 140, 188, 125, 173, 120, 168, 132, 180, 122, 170, 102, 150)(98, 146, 105, 153, 129, 177, 112, 160, 126, 174, 121, 169, 135, 183, 109, 157, 101, 149, 118, 166, 133, 181, 107, 155)(100, 148, 111, 159, 137, 185, 131, 179, 127, 175, 141, 189, 123, 171, 103, 151, 113, 161, 138, 186, 142, 190, 117, 165)(106, 154, 130, 178, 136, 184, 114, 162, 124, 172, 144, 192, 134, 182, 108, 156, 119, 167, 143, 191, 139, 187, 116, 164)
	L = (1, 100)(2, 106)(3, 111)(4, 115)(5, 119)(6, 117)(7, 97)(8, 127)(9, 130)(10, 121)(11, 116)(12, 98)(13, 108)(14, 137)(15, 140)(16, 114)(17, 99)(18, 101)(19, 141)(20, 126)(21, 104)(22, 143)(23, 105)(24, 113)(25, 144)(26, 142)(27, 102)(28, 118)(29, 103)(30, 124)(31, 132)(32, 131)(33, 136)(34, 135)(35, 120)(36, 138)(37, 139)(38, 107)(39, 134)(40, 109)(41, 125)(42, 110)(43, 112)(44, 123)(45, 122)(46, 128)(47, 129)(48, 133)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.761
Graph:: bipartite
	v = 12 e = 96 f = 30
	degree seq :: [ 12^8, 24^4 ]

E28.766 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8, 12})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1 * Y2, Y3^-2 * Y1^-2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1^2 * Y3^-2, Y2^-1 * Y3^-2 * Y2^-1 * Y3 * Y1^-1 * Y3^-1, Y3 * Y2^-1 * Y1^-2 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 23, 71, 15, 63, 5, 53)(3, 51, 9, 57, 24, 72, 34, 82, 18, 66, 6, 54)(4, 52, 10, 58, 7, 55, 11, 59, 25, 73, 16, 64)(12, 60, 20, 68, 13, 61, 26, 74, 38, 86, 19, 67)(14, 62, 22, 70, 21, 69, 27, 75, 35, 83, 17, 65)(28, 76, 31, 79, 30, 78, 42, 90, 39, 87, 29, 77)(32, 80, 37, 85, 33, 81, 41, 89, 40, 88, 36, 84)(43, 91, 46, 94, 44, 92, 48, 96, 47, 95, 45, 93)(97, 145, 99, 147, 98, 146, 105, 153, 104, 152, 120, 168, 119, 167, 130, 178, 111, 159, 114, 162, 101, 149, 102, 150)(100, 148, 110, 158, 106, 154, 118, 166, 103, 151, 117, 165, 107, 155, 123, 171, 121, 169, 131, 179, 112, 160, 113, 161)(108, 156, 124, 172, 116, 164, 127, 175, 109, 157, 126, 174, 122, 170, 138, 186, 134, 182, 135, 183, 115, 163, 125, 173)(128, 176, 144, 192, 133, 181, 143, 191, 129, 177, 141, 189, 137, 185, 139, 187, 136, 184, 142, 190, 132, 180, 140, 188)
	L = (1, 100)(2, 106)(3, 108)(4, 111)(5, 112)(6, 115)(7, 97)(8, 103)(9, 116)(10, 101)(11, 98)(12, 114)(13, 99)(14, 128)(15, 121)(16, 119)(17, 132)(18, 134)(19, 130)(20, 102)(21, 129)(22, 133)(23, 107)(24, 109)(25, 104)(26, 105)(27, 137)(28, 139)(29, 141)(30, 140)(31, 142)(32, 131)(33, 110)(34, 122)(35, 136)(36, 123)(37, 113)(38, 120)(39, 143)(40, 117)(41, 118)(42, 144)(43, 135)(44, 124)(45, 138)(46, 125)(47, 126)(48, 127)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.763
Graph:: bipartite
	v = 12 e = 96 f = 30
	degree seq :: [ 12^8, 24^4 ]

E28.767 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8, 12})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^2, (Y3^-1, Y1^-1), Y2^2 * Y3^-1 * Y1, (R * Y3)^2, Y2^-1 * Y3 * Y1^-1 * Y2^-1, (R * Y1)^2, Y2^-1 * Y1^2 * Y3^-1 * Y1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2^4 * Y3^2, Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y3^6, Y2^-1 * R * Y1 * Y3^-1 * R * Y2^-1, Y1 * Y2 * Y1 * Y3 * Y2 * Y1, Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y3^-1 * Y2 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 25, 73, 19, 67, 5, 53)(3, 51, 13, 61, 26, 74, 23, 71, 36, 84, 16, 64)(4, 52, 10, 58, 7, 55, 12, 60, 28, 76, 14, 62)(6, 54, 22, 70, 27, 75, 15, 63, 33, 81, 17, 65)(9, 57, 29, 77, 24, 72, 35, 83, 20, 68, 31, 79)(11, 59, 34, 82, 18, 66, 30, 78, 21, 69, 32, 80)(37, 85, 47, 95, 42, 90, 44, 92, 40, 88, 45, 93)(38, 86, 48, 96, 39, 87, 46, 94, 41, 89, 43, 91)(97, 145, 99, 147, 110, 158, 123, 171, 104, 152, 122, 170, 106, 154, 129, 177, 115, 163, 132, 180, 108, 156, 102, 150)(98, 146, 105, 153, 100, 148, 114, 162, 121, 169, 120, 168, 103, 151, 117, 165, 101, 149, 116, 164, 124, 172, 107, 155)(109, 157, 133, 181, 111, 159, 135, 183, 119, 167, 138, 186, 113, 161, 137, 185, 112, 160, 136, 184, 118, 166, 134, 182)(125, 173, 139, 187, 126, 174, 141, 189, 131, 179, 144, 192, 128, 176, 143, 191, 127, 175, 142, 190, 130, 178, 140, 188)
	L = (1, 100)(2, 106)(3, 111)(4, 115)(5, 110)(6, 109)(7, 97)(8, 103)(9, 126)(10, 101)(11, 125)(12, 98)(13, 129)(14, 121)(15, 132)(16, 123)(17, 99)(18, 131)(19, 124)(20, 130)(21, 127)(22, 122)(23, 102)(24, 128)(25, 108)(26, 113)(27, 119)(28, 104)(29, 117)(30, 116)(31, 114)(32, 105)(33, 112)(34, 120)(35, 107)(36, 118)(37, 142)(38, 143)(39, 140)(40, 144)(41, 141)(42, 139)(43, 133)(44, 134)(45, 135)(46, 136)(47, 137)(48, 138)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.762
Graph:: bipartite
	v = 12 e = 96 f = 30
	degree seq :: [ 12^8, 24^4 ]

E28.768 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 4, 4, 24})
Quotient :: edge^2
Aut^+ = C3 : Q16 (small group id <48, 8>)
Aut   = C48 : C2 (small group id <96, 7>)
|r| :: 2
Presentation :: [ R^2, Y2^4, Y1^4, Y2^2 * Y1^2, Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y2 * Y1^-2 * Y2, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y3 * Y2^-1 * Y3, Y3^-1 * Y1^-1 * Y3^2 * Y2, Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y3 * Y1^-1 * Y2^-1)^3, (Y1 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 49, 4, 52, 17, 65, 11, 59, 29, 77, 44, 92, 39, 87, 47, 95, 34, 82, 13, 61, 32, 80, 24, 72, 8, 56, 23, 71, 28, 76, 9, 57, 26, 74, 42, 90, 40, 88, 48, 96, 36, 84, 15, 63, 22, 70, 7, 55)(2, 50, 10, 58, 16, 64, 3, 51, 14, 62, 35, 83, 33, 81, 46, 94, 41, 89, 25, 73, 37, 85, 18, 66, 5, 53, 20, 68, 19, 67, 6, 54, 21, 69, 38, 86, 31, 79, 45, 93, 43, 91, 27, 75, 30, 78, 12, 60)(97, 98, 104, 101)(99, 109, 102, 111)(100, 108, 119, 114)(103, 106, 120, 116)(105, 121, 107, 123)(110, 130, 117, 132)(112, 128, 115, 118)(113, 126, 124, 133)(122, 137, 125, 139)(127, 136, 129, 135)(131, 143, 134, 144)(138, 142, 140, 141)(145, 147, 152, 150)(146, 153, 149, 155)(148, 160, 167, 163)(151, 158, 168, 165)(154, 172, 164, 161)(156, 170, 162, 173)(157, 175, 159, 177)(166, 179, 176, 182)(169, 183, 171, 184)(174, 186, 181, 188)(178, 189, 180, 190)(185, 191, 187, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12^4 ), ( 12^48 ) }
Outer automorphisms :: reflexible
Dual of E28.771
Graph:: bipartite
	v = 26 e = 96 f = 16
	degree seq :: [ 4^24, 48^2 ]

E28.769 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 4, 4, 24})
Quotient :: edge^2
Aut^+ = C3 : Q16 (small group id <48, 8>)
Aut   = C48 : C2 (small group id <96, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2^-1 * Y1^2 * Y2^-1, R * Y2 * R * Y1, Y1^4, Y2 * Y1^2 * Y2, Y2^4, Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y3 * Y1 * Y3 * Y1^-1, (R * Y3)^2, Y3 * Y2^2 * Y3^-1 * Y2^2, Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y3 * Y1^-1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 49, 4, 52, 7, 55)(2, 50, 10, 58, 12, 60)(3, 51, 14, 62, 16, 64)(5, 53, 19, 67, 17, 65)(6, 54, 20, 68, 18, 66)(8, 56, 21, 69, 22, 70)(9, 57, 24, 72, 26, 74)(11, 59, 28, 76, 27, 75)(13, 61, 30, 78, 32, 80)(15, 63, 34, 82, 33, 81)(23, 71, 36, 84, 38, 86)(25, 73, 40, 88, 39, 87)(29, 77, 41, 89, 42, 90)(31, 79, 44, 92, 43, 91)(35, 83, 45, 93, 46, 94)(37, 85, 48, 96, 47, 95)(97, 98, 104, 101)(99, 109, 102, 111)(100, 108, 117, 113)(103, 106, 118, 115)(105, 119, 107, 121)(110, 128, 116, 129)(112, 126, 114, 130)(120, 134, 124, 135)(122, 132, 123, 136)(125, 133, 127, 131)(137, 143, 140, 142)(138, 144, 139, 141)(145, 147, 152, 150)(146, 153, 149, 155)(148, 160, 165, 162)(151, 158, 166, 164)(154, 170, 163, 171)(156, 168, 161, 172)(157, 173, 159, 175)(167, 179, 169, 181)(174, 186, 178, 187)(176, 185, 177, 188)(180, 190, 184, 191)(182, 189, 183, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 96^4 ), ( 96^6 ) }
Outer automorphisms :: reflexible
Dual of E28.770
Graph:: simple bipartite
	v = 40 e = 96 f = 2
	degree seq :: [ 4^24, 6^16 ]

E28.770 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 4, 4, 24})
Quotient :: loop^2
Aut^+ = C3 : Q16 (small group id <48, 8>)
Aut   = C48 : C2 (small group id <96, 7>)
|r| :: 2
Presentation :: [ R^2, Y2^4, Y1^4, Y2^2 * Y1^2, Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y2 * Y1^-2 * Y2, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y3 * Y2^-1 * Y3, Y3^-1 * Y1^-1 * Y3^2 * Y2, Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y3 * Y1^-1 * Y2^-1)^3, (Y1 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148, 17, 65, 113, 161, 11, 59, 107, 155, 29, 77, 125, 173, 44, 92, 140, 188, 39, 87, 135, 183, 47, 95, 143, 191, 34, 82, 130, 178, 13, 61, 109, 157, 32, 80, 128, 176, 24, 72, 120, 168, 8, 56, 104, 152, 23, 71, 119, 167, 28, 76, 124, 172, 9, 57, 105, 153, 26, 74, 122, 170, 42, 90, 138, 186, 40, 88, 136, 184, 48, 96, 144, 192, 36, 84, 132, 180, 15, 63, 111, 159, 22, 70, 118, 166, 7, 55, 103, 151)(2, 50, 98, 146, 10, 58, 106, 154, 16, 64, 112, 160, 3, 51, 99, 147, 14, 62, 110, 158, 35, 83, 131, 179, 33, 81, 129, 177, 46, 94, 142, 190, 41, 89, 137, 185, 25, 73, 121, 169, 37, 85, 133, 181, 18, 66, 114, 162, 5, 53, 101, 149, 20, 68, 116, 164, 19, 67, 115, 163, 6, 54, 102, 150, 21, 69, 117, 165, 38, 86, 134, 182, 31, 79, 127, 175, 45, 93, 141, 189, 43, 91, 139, 187, 27, 75, 123, 171, 30, 78, 126, 174, 12, 60, 108, 156)
	L = (1, 50)(2, 56)(3, 61)(4, 60)(5, 49)(6, 63)(7, 58)(8, 53)(9, 73)(10, 72)(11, 75)(12, 71)(13, 54)(14, 82)(15, 51)(16, 80)(17, 78)(18, 52)(19, 70)(20, 55)(21, 84)(22, 64)(23, 66)(24, 68)(25, 59)(26, 89)(27, 57)(28, 85)(29, 91)(30, 76)(31, 88)(32, 67)(33, 87)(34, 69)(35, 95)(36, 62)(37, 65)(38, 96)(39, 79)(40, 81)(41, 77)(42, 94)(43, 74)(44, 93)(45, 90)(46, 92)(47, 86)(48, 83)(97, 147)(98, 153)(99, 152)(100, 160)(101, 155)(102, 145)(103, 158)(104, 150)(105, 149)(106, 172)(107, 146)(108, 170)(109, 175)(110, 168)(111, 177)(112, 167)(113, 154)(114, 173)(115, 148)(116, 161)(117, 151)(118, 179)(119, 163)(120, 165)(121, 183)(122, 162)(123, 184)(124, 164)(125, 156)(126, 186)(127, 159)(128, 182)(129, 157)(130, 189)(131, 176)(132, 190)(133, 188)(134, 166)(135, 171)(136, 169)(137, 191)(138, 181)(139, 192)(140, 174)(141, 180)(142, 178)(143, 187)(144, 185)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.769
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 96 f = 40
	degree seq :: [ 96^2 ]

E28.771 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 4, 4, 24})
Quotient :: loop^2
Aut^+ = C3 : Q16 (small group id <48, 8>)
Aut   = C48 : C2 (small group id <96, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2^-1 * Y1^2 * Y2^-1, R * Y2 * R * Y1, Y1^4, Y2 * Y1^2 * Y2, Y2^4, Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y3 * Y1 * Y3 * Y1^-1, (R * Y3)^2, Y3 * Y2^2 * Y3^-1 * Y2^2, Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y3 * Y1^-1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148, 7, 55, 103, 151)(2, 50, 98, 146, 10, 58, 106, 154, 12, 60, 108, 156)(3, 51, 99, 147, 14, 62, 110, 158, 16, 64, 112, 160)(5, 53, 101, 149, 19, 67, 115, 163, 17, 65, 113, 161)(6, 54, 102, 150, 20, 68, 116, 164, 18, 66, 114, 162)(8, 56, 104, 152, 21, 69, 117, 165, 22, 70, 118, 166)(9, 57, 105, 153, 24, 72, 120, 168, 26, 74, 122, 170)(11, 59, 107, 155, 28, 76, 124, 172, 27, 75, 123, 171)(13, 61, 109, 157, 30, 78, 126, 174, 32, 80, 128, 176)(15, 63, 111, 159, 34, 82, 130, 178, 33, 81, 129, 177)(23, 71, 119, 167, 36, 84, 132, 180, 38, 86, 134, 182)(25, 73, 121, 169, 40, 88, 136, 184, 39, 87, 135, 183)(29, 77, 125, 173, 41, 89, 137, 185, 42, 90, 138, 186)(31, 79, 127, 175, 44, 92, 140, 188, 43, 91, 139, 187)(35, 83, 131, 179, 45, 93, 141, 189, 46, 94, 142, 190)(37, 85, 133, 181, 48, 96, 144, 192, 47, 95, 143, 191)
	L = (1, 50)(2, 56)(3, 61)(4, 60)(5, 49)(6, 63)(7, 58)(8, 53)(9, 71)(10, 70)(11, 73)(12, 69)(13, 54)(14, 80)(15, 51)(16, 78)(17, 52)(18, 82)(19, 55)(20, 81)(21, 65)(22, 67)(23, 59)(24, 86)(25, 57)(26, 84)(27, 88)(28, 87)(29, 85)(30, 66)(31, 83)(32, 68)(33, 62)(34, 64)(35, 77)(36, 75)(37, 79)(38, 76)(39, 72)(40, 74)(41, 95)(42, 96)(43, 93)(44, 94)(45, 90)(46, 89)(47, 92)(48, 91)(97, 147)(98, 153)(99, 152)(100, 160)(101, 155)(102, 145)(103, 158)(104, 150)(105, 149)(106, 170)(107, 146)(108, 168)(109, 173)(110, 166)(111, 175)(112, 165)(113, 172)(114, 148)(115, 171)(116, 151)(117, 162)(118, 164)(119, 179)(120, 161)(121, 181)(122, 163)(123, 154)(124, 156)(125, 159)(126, 186)(127, 157)(128, 185)(129, 188)(130, 187)(131, 169)(132, 190)(133, 167)(134, 189)(135, 192)(136, 191)(137, 177)(138, 178)(139, 174)(140, 176)(141, 183)(142, 184)(143, 180)(144, 182)
	local type(s) :: { ( 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E28.768
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 96 f = 26
	degree seq :: [ 12^16 ]

E28.772 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4, 24})
Quotient :: dipole
Aut^+ = C3 : Q16 (small group id <48, 8>)
Aut   = (C24 x C2) : C2 (small group id <96, 111>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3 * Y2 * Y3 * Y2^-1, Y2^-1 * Y1^-1 * Y2 * Y1^-1, (R * Y1)^2, Y2^4, (R * Y3)^2, (Y3, Y1^-1), Y2^-1 * Y3^-4 * Y2^-1, Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2^-1, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 12, 60, 8, 56)(4, 52, 9, 57, 17, 65)(6, 54, 19, 67, 10, 58)(7, 55, 11, 59, 20, 68)(13, 61, 23, 71, 30, 78)(14, 62, 31, 79, 24, 72)(15, 63, 32, 80, 25, 73)(16, 64, 26, 74, 37, 85)(18, 66, 38, 86, 27, 75)(21, 69, 39, 87, 28, 76)(22, 70, 29, 77, 40, 88)(33, 81, 41, 89, 45, 93)(34, 82, 42, 90, 46, 94)(35, 83, 47, 95, 43, 91)(36, 84, 48, 96, 44, 92)(97, 145, 99, 147, 109, 157, 102, 150)(98, 146, 104, 152, 119, 167, 106, 154)(100, 148, 111, 159, 129, 177, 114, 162)(101, 149, 108, 156, 126, 174, 115, 163)(103, 151, 110, 158, 130, 178, 117, 165)(105, 153, 121, 169, 137, 185, 123, 171)(107, 155, 120, 168, 138, 186, 124, 172)(112, 160, 132, 180, 118, 166, 131, 179)(113, 161, 128, 176, 141, 189, 134, 182)(116, 164, 127, 175, 142, 190, 135, 183)(122, 170, 140, 188, 125, 173, 139, 187)(133, 181, 144, 192, 136, 184, 143, 191)
	L = (1, 100)(2, 105)(3, 110)(4, 112)(5, 113)(6, 117)(7, 97)(8, 120)(9, 122)(10, 124)(11, 98)(12, 127)(13, 129)(14, 131)(15, 99)(16, 130)(17, 133)(18, 102)(19, 135)(20, 101)(21, 132)(22, 103)(23, 137)(24, 139)(25, 104)(26, 138)(27, 106)(28, 140)(29, 107)(30, 141)(31, 143)(32, 108)(33, 118)(34, 109)(35, 114)(36, 111)(37, 142)(38, 115)(39, 144)(40, 116)(41, 125)(42, 119)(43, 123)(44, 121)(45, 136)(46, 126)(47, 134)(48, 128)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 48, 8, 48, 8, 48 ), ( 8, 48, 8, 48, 8, 48, 8, 48 ) }
Outer automorphisms :: reflexible
Dual of E28.774
Graph:: simple bipartite
	v = 28 e = 96 f = 14
	degree seq :: [ 6^16, 8^12 ]

E28.773 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4, 24})
Quotient :: dipole
Aut^+ = C3 : Q16 (small group id <48, 8>)
Aut   = (C24 x C2) : C2 (small group id <96, 111>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y3)^2, (R * Y1)^2, Y2^4, Y2^-1 * Y3^-1 * Y2 * Y3^-1, (Y3, Y1^-1), Y2^-2 * Y3^-1 * Y2^-2 * Y3, Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2 * Y3^2 * Y2 * Y3^-2 * Y1, Y3^-1 * Y2^2 * Y3^-1 * Y1 * Y3^-2, Y3^-1 * Y2^2 * Y1^-1 * Y3^-3 * Y1^-1, Y3 * Y1 * Y2^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 12, 60, 8, 56)(4, 52, 9, 57, 17, 65)(6, 54, 19, 67, 10, 58)(7, 55, 11, 59, 20, 68)(13, 61, 23, 71, 30, 78)(14, 62, 31, 79, 24, 72)(15, 63, 32, 80, 25, 73)(16, 64, 26, 74, 38, 86)(18, 66, 40, 88, 27, 75)(21, 69, 41, 89, 28, 76)(22, 70, 29, 77, 42, 90)(33, 81, 45, 93, 44, 92)(34, 82, 37, 85, 47, 95)(35, 83, 48, 96, 39, 87)(36, 84, 43, 91, 46, 94)(97, 145, 99, 147, 109, 157, 102, 150)(98, 146, 104, 152, 119, 167, 106, 154)(100, 148, 111, 159, 129, 177, 114, 162)(101, 149, 108, 156, 126, 174, 115, 163)(103, 151, 110, 158, 130, 178, 117, 165)(105, 153, 121, 169, 141, 189, 123, 171)(107, 155, 120, 168, 133, 181, 124, 172)(112, 160, 132, 180, 125, 173, 135, 183)(113, 161, 128, 176, 140, 188, 136, 184)(116, 164, 127, 175, 143, 191, 137, 185)(118, 166, 131, 179, 134, 182, 139, 187)(122, 170, 142, 190, 138, 186, 144, 192)
	L = (1, 100)(2, 105)(3, 110)(4, 112)(5, 113)(6, 117)(7, 97)(8, 120)(9, 122)(10, 124)(11, 98)(12, 127)(13, 129)(14, 131)(15, 99)(16, 133)(17, 134)(18, 102)(19, 137)(20, 101)(21, 139)(22, 103)(23, 141)(24, 135)(25, 104)(26, 143)(27, 106)(28, 132)(29, 107)(30, 140)(31, 144)(32, 108)(33, 125)(34, 109)(35, 136)(36, 111)(37, 119)(38, 130)(39, 114)(40, 115)(41, 142)(42, 116)(43, 128)(44, 118)(45, 138)(46, 121)(47, 126)(48, 123)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 48, 8, 48, 8, 48 ), ( 8, 48, 8, 48, 8, 48, 8, 48 ) }
Outer automorphisms :: reflexible
Dual of E28.775
Graph:: simple bipartite
	v = 28 e = 96 f = 14
	degree seq :: [ 6^16, 8^12 ]

E28.774 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4, 24})
Quotient :: dipole
Aut^+ = C3 : Q16 (small group id <48, 8>)
Aut   = (C24 x C2) : C2 (small group id <96, 111>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y1^4, (Y2, Y3^-1), (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y1^-1 * Y3^-1 * Y1, (R * Y2)^2, Y3^-1 * Y2^-2 * Y1^-1 * Y2 * Y1^-1, Y3^-1 * Y1^-1 * Y2^3 * Y1^-1, Y2^2 * Y3^-3 * Y2, Y3 * Y2 * Y1^-1 * Y2^-2 * Y1^-1, Y3^2 * Y1 * Y2^15 * Y1 * Y3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 11, 59, 25, 73, 15, 63)(4, 52, 12, 60, 26, 74, 18, 66)(6, 54, 9, 57, 27, 75, 20, 68)(7, 55, 10, 58, 28, 76, 21, 69)(13, 61, 34, 82, 23, 71, 30, 78)(14, 62, 35, 83, 22, 70, 29, 77)(16, 64, 33, 81, 43, 91, 39, 87)(17, 65, 36, 84, 24, 72, 32, 80)(19, 67, 31, 79, 44, 92, 41, 89)(37, 85, 47, 95, 42, 90, 46, 94)(38, 86, 48, 96, 40, 88, 45, 93)(97, 145, 99, 147, 109, 157, 124, 172, 139, 187, 138, 186, 120, 168, 136, 184, 115, 163, 100, 148, 110, 158, 123, 171, 104, 152, 121, 169, 119, 167, 103, 151, 112, 160, 133, 181, 113, 161, 134, 182, 140, 188, 122, 170, 118, 166, 102, 150)(98, 146, 105, 153, 125, 173, 114, 162, 137, 185, 144, 192, 132, 180, 143, 191, 129, 177, 106, 154, 126, 174, 111, 159, 101, 149, 116, 164, 131, 179, 108, 156, 127, 175, 141, 189, 128, 176, 142, 190, 135, 183, 117, 165, 130, 178, 107, 155)
	L = (1, 100)(2, 106)(3, 110)(4, 113)(5, 117)(6, 115)(7, 97)(8, 122)(9, 126)(10, 128)(11, 129)(12, 98)(13, 123)(14, 134)(15, 135)(16, 99)(17, 124)(18, 101)(19, 133)(20, 130)(21, 132)(22, 136)(23, 102)(24, 103)(25, 118)(26, 120)(27, 140)(28, 104)(29, 111)(30, 142)(31, 105)(32, 114)(33, 141)(34, 143)(35, 107)(36, 108)(37, 109)(38, 139)(39, 144)(40, 112)(41, 116)(42, 119)(43, 121)(44, 138)(45, 125)(46, 137)(47, 127)(48, 131)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 8, 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.772
Graph:: bipartite
	v = 14 e = 96 f = 28
	degree seq :: [ 8^12, 48^2 ]

E28.775 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4, 24})
Quotient :: dipole
Aut^+ = C3 : Q16 (small group id <48, 8>)
Aut   = (C24 x C2) : C2 (small group id <96, 111>)
|r| :: 2
Presentation :: [ R^2, Y1^4, (Y3^-1, Y2), (R * Y3)^2, Y3 * Y1^-1 * Y3 * Y1, Y2 * Y1 * Y2 * Y1^-1, (R * Y2)^2, (R * Y1)^2, Y3^3 * Y2^-3, Y1^-1 * Y2^-1 * Y3^-2 * Y2^-1 * Y1^-1, Y2 * Y3 * Y2 * Y3 * Y1^-2, Y3 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1^-1, Y2^24 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 11, 59, 25, 73, 15, 63)(4, 52, 12, 60, 26, 74, 18, 66)(6, 54, 9, 57, 27, 75, 20, 68)(7, 55, 10, 58, 28, 76, 21, 69)(13, 61, 34, 82, 24, 72, 32, 80)(14, 62, 35, 83, 23, 71, 30, 78)(16, 64, 33, 81, 43, 91, 39, 87)(17, 65, 36, 84, 22, 70, 29, 77)(19, 67, 31, 79, 44, 92, 41, 89)(37, 85, 48, 96, 40, 88, 46, 94)(38, 86, 47, 95, 42, 90, 45, 93)(97, 145, 99, 147, 109, 157, 133, 181, 140, 188, 122, 170, 119, 167, 103, 151, 112, 160, 134, 182, 113, 161, 123, 171, 104, 152, 121, 169, 120, 168, 136, 184, 115, 163, 100, 148, 110, 158, 124, 172, 139, 187, 138, 186, 118, 166, 102, 150)(98, 146, 105, 153, 125, 173, 141, 189, 135, 183, 117, 165, 131, 179, 108, 156, 127, 175, 142, 190, 128, 176, 111, 159, 101, 149, 116, 164, 132, 180, 143, 191, 129, 177, 106, 154, 126, 174, 114, 162, 137, 185, 144, 192, 130, 178, 107, 155)
	L = (1, 100)(2, 106)(3, 110)(4, 113)(5, 117)(6, 115)(7, 97)(8, 122)(9, 126)(10, 128)(11, 129)(12, 98)(13, 124)(14, 123)(15, 135)(16, 99)(17, 133)(18, 101)(19, 134)(20, 131)(21, 130)(22, 136)(23, 102)(24, 103)(25, 119)(26, 118)(27, 140)(28, 104)(29, 114)(30, 111)(31, 105)(32, 141)(33, 142)(34, 143)(35, 107)(36, 108)(37, 139)(38, 109)(39, 144)(40, 112)(41, 116)(42, 120)(43, 121)(44, 138)(45, 137)(46, 125)(47, 127)(48, 132)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 8, 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.773
Graph:: bipartite
	v = 14 e = 96 f = 28
	degree seq :: [ 8^12, 48^2 ]

E28.776 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4, 24})
Quotient :: dipole
Aut^+ = C3 x Q16 (small group id <48, 27>)
Aut   = (C8 x S3) : C2 (small group id <96, 126>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y2^-1, Y1), Y3^-1 * Y2^-1 * Y3^-1 * Y2, (R * Y1)^2, (Y3, Y1^-1), Y2^4, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y3^-3 * Y2^-1, Y3^-24 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 8, 56, 14, 62)(4, 52, 9, 57, 17, 65)(6, 54, 10, 58, 19, 67)(7, 55, 11, 59, 20, 68)(12, 60, 23, 71, 31, 79)(13, 61, 24, 72, 34, 82)(15, 63, 25, 73, 35, 83)(16, 64, 26, 74, 37, 85)(18, 66, 27, 75, 38, 86)(21, 69, 28, 76, 39, 87)(22, 70, 29, 77, 40, 88)(30, 78, 41, 89, 45, 93)(32, 80, 42, 90, 46, 94)(33, 81, 43, 91, 47, 95)(36, 84, 44, 92, 48, 96)(97, 145, 99, 147, 108, 156, 102, 150)(98, 146, 104, 152, 119, 167, 106, 154)(100, 148, 111, 159, 126, 174, 114, 162)(101, 149, 110, 158, 127, 175, 115, 163)(103, 151, 109, 157, 128, 176, 117, 165)(105, 153, 121, 169, 137, 185, 123, 171)(107, 155, 120, 168, 138, 186, 124, 172)(112, 160, 132, 180, 118, 166, 129, 177)(113, 161, 131, 179, 141, 189, 134, 182)(116, 164, 130, 178, 142, 190, 135, 183)(122, 170, 140, 188, 125, 173, 139, 187)(133, 181, 144, 192, 136, 184, 143, 191)
	L = (1, 100)(2, 105)(3, 109)(4, 112)(5, 113)(6, 117)(7, 97)(8, 120)(9, 122)(10, 124)(11, 98)(12, 126)(13, 129)(14, 130)(15, 99)(16, 128)(17, 133)(18, 102)(19, 135)(20, 101)(21, 132)(22, 103)(23, 137)(24, 139)(25, 104)(26, 138)(27, 106)(28, 140)(29, 107)(30, 118)(31, 141)(32, 108)(33, 114)(34, 143)(35, 110)(36, 111)(37, 142)(38, 115)(39, 144)(40, 116)(41, 125)(42, 119)(43, 123)(44, 121)(45, 136)(46, 127)(47, 134)(48, 131)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 48, 8, 48, 8, 48 ), ( 8, 48, 8, 48, 8, 48, 8, 48 ) }
Outer automorphisms :: reflexible
Dual of E28.777
Graph:: simple bipartite
	v = 28 e = 96 f = 14
	degree seq :: [ 6^16, 8^12 ]

E28.777 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4, 24})
Quotient :: dipole
Aut^+ = C3 x Q16 (small group id <48, 27>)
Aut   = (C8 x S3) : C2 (small group id <96, 126>)
|r| :: 2
Presentation :: [ R^2, (Y2, Y3^-1), (R * Y2)^2, (R * Y3)^2, Y3^-1 * Y1^-1 * Y3^-1 * Y1, (R * Y1)^2, Y1^4, Y3 * Y2^3 * Y1^-2, Y2 * Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1, Y1^-1 * Y3^-1 * Y1^-2 * Y3 * Y1^-1, Y3 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y1, Y2^2 * Y1 * Y3 * Y2 * Y1^-1, Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1, Y2 * Y1 * Y2^-1 * Y3^2 * Y1^-1, Y2^-1 * Y1^-1 * Y3^-2 * Y2 * Y1, Y2^-1 * Y3^-1 * Y1 * Y2^-2 * Y1^-1, Y2^-2 * Y3^-1 * Y2^-1 * Y1^-2, Y2^2 * Y1^-1 * Y2^-2 * Y1^-1, Y3^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 29, 77, 16, 64)(4, 52, 12, 60, 30, 78, 19, 67)(6, 54, 24, 72, 31, 79, 25, 73)(7, 55, 10, 58, 32, 80, 22, 70)(9, 57, 33, 81, 21, 69, 36, 84)(11, 59, 40, 88, 23, 71, 41, 89)(14, 62, 43, 91, 27, 75, 34, 82)(15, 63, 42, 90, 26, 74, 35, 83)(17, 65, 37, 85, 47, 95, 46, 94)(18, 66, 44, 92, 28, 76, 38, 86)(20, 68, 39, 87, 48, 96, 45, 93)(97, 145, 99, 147, 110, 158, 128, 176, 143, 191, 136, 184, 124, 172, 132, 180, 116, 164, 100, 148, 111, 159, 127, 175, 104, 152, 125, 173, 123, 171, 103, 151, 113, 161, 137, 185, 114, 162, 129, 177, 144, 192, 126, 174, 122, 170, 102, 150)(98, 146, 105, 153, 130, 178, 115, 163, 142, 190, 121, 169, 140, 188, 109, 157, 135, 183, 106, 154, 131, 179, 119, 167, 101, 149, 117, 165, 139, 187, 108, 156, 133, 181, 120, 168, 134, 182, 112, 160, 141, 189, 118, 166, 138, 186, 107, 155)
	L = (1, 100)(2, 106)(3, 111)(4, 114)(5, 118)(6, 116)(7, 97)(8, 126)(9, 131)(10, 134)(11, 135)(12, 98)(13, 133)(14, 127)(15, 129)(16, 142)(17, 99)(18, 128)(19, 101)(20, 137)(21, 138)(22, 140)(23, 141)(24, 130)(25, 139)(26, 132)(27, 102)(28, 103)(29, 122)(30, 124)(31, 144)(32, 104)(33, 143)(34, 119)(35, 112)(36, 113)(37, 105)(38, 115)(39, 120)(40, 123)(41, 110)(42, 109)(43, 107)(44, 108)(45, 121)(46, 117)(47, 125)(48, 136)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 8, 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.776
Graph:: bipartite
	v = 14 e = 96 f = 28
	degree seq :: [ 8^12, 48^2 ]

E28.778 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 24})
Quotient :: dipole
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^2 * Y2^2, (Y2, Y3^-1), Y2^-1 * Y1 * Y2 * Y1, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2^6, Y3 * Y1 * Y3^-2 * Y1 * Y3, Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3 * Y2^-1, Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y2^-1 * Y3, (Y2^-1 * Y3^-1 * Y1)^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 14, 62)(5, 53, 9, 57)(6, 54, 17, 65)(8, 56, 21, 69)(10, 58, 24, 72)(11, 59, 18, 66)(12, 60, 27, 75)(13, 61, 28, 76)(15, 63, 22, 70)(16, 64, 30, 78)(19, 67, 35, 83)(20, 68, 36, 84)(23, 71, 38, 86)(25, 73, 33, 81)(26, 74, 41, 89)(29, 77, 45, 93)(31, 79, 46, 94)(32, 80, 47, 95)(34, 82, 48, 96)(37, 85, 43, 91)(39, 87, 44, 92)(40, 88, 42, 90)(97, 145, 99, 147, 107, 155, 121, 169, 111, 159, 101, 149)(98, 146, 103, 151, 114, 162, 129, 177, 118, 166, 105, 153)(100, 148, 108, 156, 102, 150, 109, 157, 122, 170, 112, 160)(104, 152, 115, 163, 106, 154, 116, 164, 130, 178, 119, 167)(110, 158, 123, 171, 113, 161, 124, 172, 137, 185, 126, 174)(117, 165, 131, 179, 120, 168, 132, 180, 144, 192, 134, 182)(125, 173, 138, 186, 127, 175, 139, 187, 128, 176, 140, 188)(133, 181, 143, 191, 135, 183, 141, 189, 136, 184, 142, 190)
	L = (1, 100)(2, 104)(3, 108)(4, 111)(5, 112)(6, 97)(7, 115)(8, 118)(9, 119)(10, 98)(11, 102)(12, 101)(13, 99)(14, 125)(15, 122)(16, 121)(17, 127)(18, 106)(19, 105)(20, 103)(21, 133)(22, 130)(23, 129)(24, 135)(25, 109)(26, 107)(27, 138)(28, 139)(29, 137)(30, 140)(31, 110)(32, 113)(33, 116)(34, 114)(35, 143)(36, 141)(37, 144)(38, 142)(39, 117)(40, 120)(41, 128)(42, 126)(43, 123)(44, 124)(45, 131)(46, 132)(47, 134)(48, 136)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12, 48, 12, 48 ), ( 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48 ) }
Outer automorphisms :: reflexible
Dual of E28.784
Graph:: simple bipartite
	v = 32 e = 96 f = 10
	degree seq :: [ 4^24, 12^8 ]

E28.779 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 24})
Quotient :: dipole
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2^-1), Y3^2 * Y2^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y2 * Y1 * Y3 * Y2^-1 * Y1, Y3^6, Y2^6, (Y2^-1 * Y3^-1 * Y1)^2, Y2^-1 * Y1 * Y2 * Y3 * Y1 * Y3^-1, Y2 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y1 * Y2^-1 * Y1, Y1 * Y3^-1 * Y2 * Y3^-2 * Y2 * Y1 * Y3^-2 * Y2 * Y1 * Y3^-2 * Y2 * Y1 * Y3^-2 * Y2 * Y1 * Y3^-2 * Y2 * Y1 * Y3^-2 * Y2 * Y1 * Y3^-2 * Y2 * Y1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 15, 63)(5, 53, 18, 66)(6, 54, 19, 67)(7, 55, 20, 68)(8, 56, 24, 72)(9, 57, 27, 75)(10, 58, 28, 76)(12, 60, 21, 69)(13, 61, 22, 70)(14, 62, 23, 71)(16, 64, 25, 73)(17, 65, 26, 74)(29, 77, 40, 88)(30, 78, 39, 87)(31, 79, 38, 86)(32, 80, 37, 85)(33, 81, 45, 93)(34, 82, 46, 94)(35, 83, 44, 92)(36, 84, 43, 91)(41, 89, 47, 95)(42, 90, 48, 96)(97, 145, 99, 147, 108, 156, 129, 177, 112, 160, 101, 149)(98, 146, 103, 151, 117, 165, 137, 185, 121, 169, 105, 153)(100, 148, 109, 157, 102, 150, 110, 158, 130, 178, 113, 161)(104, 152, 118, 166, 106, 154, 119, 167, 138, 186, 122, 170)(107, 155, 125, 173, 141, 189, 131, 179, 114, 162, 127, 175)(111, 159, 126, 174, 115, 163, 128, 176, 142, 190, 132, 180)(116, 164, 133, 181, 143, 191, 139, 187, 123, 171, 135, 183)(120, 168, 134, 182, 124, 172, 136, 184, 144, 192, 140, 188)
	L = (1, 100)(2, 104)(3, 109)(4, 112)(5, 113)(6, 97)(7, 118)(8, 121)(9, 122)(10, 98)(11, 126)(12, 102)(13, 101)(14, 99)(15, 131)(16, 130)(17, 129)(18, 132)(19, 127)(20, 134)(21, 106)(22, 105)(23, 103)(24, 139)(25, 138)(26, 137)(27, 140)(28, 135)(29, 115)(30, 114)(31, 111)(32, 107)(33, 110)(34, 108)(35, 142)(36, 141)(37, 124)(38, 123)(39, 120)(40, 116)(41, 119)(42, 117)(43, 144)(44, 143)(45, 128)(46, 125)(47, 136)(48, 133)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12, 48, 12, 48 ), ( 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48 ) }
Outer automorphisms :: reflexible
Dual of E28.783
Graph:: simple bipartite
	v = 32 e = 96 f = 10
	degree seq :: [ 4^24, 12^8 ]

E28.780 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 24})
Quotient :: dipole
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y1 * Y3^-1 * Y1, (Y3^-1 * Y2^-1)^2, Y1 * Y2 * Y1 * Y2^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-2, Y2^6, (Y2^-1 * Y1 * Y3^-1)^2, Y3^-1 * Y2 * Y3^-1 * Y2^3, Y3^-2 * Y2^-1 * Y1 * Y3 * Y2^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 8, 56)(5, 53, 9, 57)(6, 54, 10, 58)(11, 59, 21, 69)(12, 60, 22, 70)(13, 61, 23, 71)(14, 62, 24, 72)(15, 63, 25, 73)(16, 64, 26, 74)(17, 65, 27, 75)(18, 66, 28, 76)(19, 67, 29, 77)(20, 68, 30, 78)(31, 79, 44, 92)(32, 80, 45, 93)(33, 81, 40, 88)(34, 82, 39, 87)(35, 83, 46, 94)(36, 84, 43, 91)(37, 85, 41, 89)(38, 86, 42, 90)(47, 95, 48, 96)(97, 145, 99, 147, 107, 155, 127, 175, 114, 162, 101, 149)(98, 146, 103, 151, 117, 165, 140, 188, 124, 172, 105, 153)(100, 148, 110, 158, 128, 176, 109, 157, 132, 180, 112, 160)(102, 150, 115, 163, 129, 177, 113, 161, 131, 179, 108, 156)(104, 152, 120, 168, 141, 189, 119, 167, 139, 187, 122, 170)(106, 154, 125, 173, 136, 184, 123, 171, 142, 190, 118, 166)(111, 159, 135, 183, 143, 191, 134, 182, 126, 174, 133, 181)(116, 164, 137, 185, 121, 169, 130, 178, 144, 192, 138, 186)
	L = (1, 100)(2, 104)(3, 108)(4, 111)(5, 113)(6, 97)(7, 118)(8, 121)(9, 123)(10, 98)(11, 128)(12, 130)(13, 99)(14, 101)(15, 136)(16, 127)(17, 137)(18, 132)(19, 138)(20, 102)(21, 141)(22, 135)(23, 103)(24, 105)(25, 129)(26, 140)(27, 133)(28, 139)(29, 134)(30, 106)(31, 115)(32, 143)(33, 107)(34, 122)(35, 114)(36, 126)(37, 109)(38, 110)(39, 112)(40, 117)(41, 119)(42, 120)(43, 116)(44, 125)(45, 144)(46, 124)(47, 142)(48, 131)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12, 48, 12, 48 ), ( 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48 ) }
Outer automorphisms :: reflexible
Dual of E28.785
Graph:: simple bipartite
	v = 32 e = 96 f = 10
	degree seq :: [ 4^24, 12^8 ]

E28.781 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 24})
Quotient :: dipole
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1^2, (Y3^-1 * Y1^-1)^2, (Y2, Y1), (Y3^-1, Y2^-1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^4 * Y2, Y2^-2 * Y1^-4, Y1^-1 * Y3 * Y1 * Y2^2 * Y3, Y2^6, Y3 * Y1^-1 * Y2^-2 * Y3 * Y1^-1, Y2^2 * Y1 * Y3 * Y1^-1 * Y3, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 25, 73, 20, 68, 5, 53)(3, 51, 9, 57, 26, 74, 21, 69, 6, 54, 11, 59)(4, 52, 15, 63, 27, 75, 12, 60, 35, 83, 17, 65)(7, 55, 23, 71, 28, 76, 19, 67, 32, 80, 10, 58)(13, 61, 34, 82, 45, 93, 30, 78, 18, 66, 37, 85)(14, 62, 38, 86, 46, 94, 33, 81, 22, 70, 29, 77)(16, 64, 41, 89, 39, 87, 40, 88, 48, 96, 36, 84)(24, 72, 43, 91, 47, 95, 31, 79, 42, 90, 44, 92)(97, 145, 99, 147, 104, 152, 122, 170, 116, 164, 102, 150)(98, 146, 105, 153, 121, 169, 117, 165, 101, 149, 107, 155)(100, 148, 109, 157, 123, 171, 141, 189, 131, 179, 114, 162)(103, 151, 110, 158, 124, 172, 142, 190, 128, 176, 118, 166)(106, 154, 125, 173, 119, 167, 134, 182, 115, 163, 129, 177)(108, 156, 126, 174, 113, 161, 133, 181, 111, 159, 130, 178)(112, 160, 120, 168, 135, 183, 143, 191, 144, 192, 138, 186)(127, 175, 132, 180, 140, 188, 137, 185, 139, 187, 136, 184)
	L = (1, 100)(2, 106)(3, 109)(4, 112)(5, 115)(6, 114)(7, 97)(8, 123)(9, 125)(10, 127)(11, 129)(12, 98)(13, 120)(14, 99)(15, 101)(16, 118)(17, 121)(18, 138)(19, 139)(20, 131)(21, 134)(22, 102)(23, 140)(24, 103)(25, 119)(26, 141)(27, 135)(28, 104)(29, 132)(30, 105)(31, 130)(32, 116)(33, 136)(34, 107)(35, 144)(36, 108)(37, 117)(38, 137)(39, 110)(40, 111)(41, 113)(42, 128)(43, 133)(44, 126)(45, 143)(46, 122)(47, 124)(48, 142)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E28.782
Graph:: bipartite
	v = 16 e = 96 f = 26
	degree seq :: [ 12^16 ]

E28.782 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 24})
Quotient :: dipole
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3 * Y2 * Y3^-1 * Y2, (Y1^-1 * Y3)^2, (R * Y1)^2, (Y2 * R)^2, (R * Y3)^2, Y3^6, Y1^-1 * Y3^2 * Y2 * Y1^-1 * Y2, Y1^-1 * Y3^3 * Y1^-1 * Y3^-1, Y1^-2 * Y2 * Y3 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 23, 71, 12, 60, 28, 76, 43, 91, 35, 83, 16, 64, 32, 80, 44, 92, 36, 84, 47, 95, 38, 86, 48, 96, 41, 89, 22, 70, 34, 82, 46, 94, 39, 87, 14, 62, 30, 78, 19, 67, 5, 53)(3, 51, 11, 59, 33, 81, 10, 58, 4, 52, 15, 63, 29, 77, 8, 56, 27, 75, 45, 93, 26, 74, 9, 57, 31, 79, 20, 68, 24, 72, 42, 90, 40, 88, 17, 65, 25, 73, 21, 69, 6, 54, 18, 66, 37, 85, 13, 61)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 108, 156)(101, 149, 113, 161)(102, 150, 110, 158)(103, 151, 120, 168)(105, 153, 124, 172)(106, 154, 126, 174)(107, 155, 131, 179)(109, 157, 130, 178)(111, 159, 132, 180)(112, 160, 123, 171)(114, 162, 119, 167)(115, 163, 122, 170)(116, 164, 135, 183)(117, 165, 134, 182)(118, 166, 136, 184)(121, 169, 139, 187)(125, 173, 142, 190)(127, 175, 143, 191)(128, 176, 138, 186)(129, 177, 144, 192)(133, 181, 140, 188)(137, 185, 141, 189)
	L = (1, 100)(2, 105)(3, 108)(4, 112)(5, 114)(6, 97)(7, 121)(8, 124)(9, 128)(10, 98)(11, 132)(12, 123)(13, 126)(14, 99)(15, 137)(16, 127)(17, 119)(18, 131)(19, 120)(20, 101)(21, 130)(22, 102)(23, 107)(24, 139)(25, 140)(26, 103)(27, 143)(28, 138)(29, 115)(30, 104)(31, 118)(32, 117)(33, 142)(34, 106)(35, 111)(36, 141)(37, 144)(38, 109)(39, 113)(40, 110)(41, 116)(42, 134)(43, 133)(44, 129)(45, 135)(46, 122)(47, 136)(48, 125)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12^4 ), ( 12^48 ) }
Outer automorphisms :: reflexible
Dual of E28.781
Graph:: bipartite
	v = 26 e = 96 f = 16
	degree seq :: [ 4^24, 48^2 ]

E28.783 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 24})
Quotient :: dipole
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^-2, (Y3, Y1^-1), (R * Y3)^2, (Y2, Y1), (Y3 * Y2^-1)^2, (R * Y1)^2, Y2^-4 * Y1, Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y2 * Y3^3 * Y2 * Y3, Y3^6, Y1 * Y3 * Y2^-1 * Y3^-1 * Y1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2 * R * Y3^-1 * Y2 * Y3 * R, Y2 * Y1^-1 * Y3^-1 * Y2 * Y3 * Y1^-1, (Y3 * Y2^2)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 25, 73, 18, 66, 5, 53)(3, 51, 9, 57, 26, 74, 45, 93, 38, 86, 15, 63)(4, 52, 10, 58, 27, 75, 20, 68, 7, 55, 12, 60)(6, 54, 11, 59, 28, 76, 46, 94, 41, 89, 19, 67)(13, 61, 29, 77, 47, 95, 48, 96, 42, 90, 22, 70)(14, 62, 30, 78, 24, 72, 35, 83, 16, 64, 31, 79)(17, 65, 32, 80, 23, 71, 34, 82, 21, 69, 33, 81)(36, 84, 43, 91, 39, 87, 40, 88, 37, 85, 44, 92)(97, 145, 99, 147, 109, 157, 107, 155, 98, 146, 105, 153, 125, 173, 124, 172, 104, 152, 122, 170, 143, 191, 142, 190, 121, 169, 141, 189, 144, 192, 137, 185, 114, 162, 134, 182, 138, 186, 115, 163, 101, 149, 111, 159, 118, 166, 102, 150)(100, 148, 113, 161, 136, 184, 127, 175, 106, 154, 128, 176, 133, 181, 110, 158, 123, 171, 119, 167, 140, 188, 126, 174, 116, 164, 130, 178, 132, 180, 120, 168, 103, 151, 117, 165, 139, 187, 131, 179, 108, 156, 129, 177, 135, 183, 112, 160)
	L = (1, 100)(2, 106)(3, 110)(4, 104)(5, 108)(6, 117)(7, 97)(8, 123)(9, 126)(10, 121)(11, 129)(12, 98)(13, 132)(14, 122)(15, 127)(16, 99)(17, 137)(18, 103)(19, 130)(20, 101)(21, 124)(22, 140)(23, 102)(24, 134)(25, 116)(26, 120)(27, 114)(28, 113)(29, 139)(30, 141)(31, 105)(32, 115)(33, 142)(34, 107)(35, 111)(36, 143)(37, 109)(38, 112)(39, 138)(40, 118)(41, 119)(42, 133)(43, 144)(44, 125)(45, 131)(46, 128)(47, 135)(48, 136)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.779
Graph:: bipartite
	v = 10 e = 96 f = 32
	degree seq :: [ 12^8, 48^2 ]

E28.784 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 24})
Quotient :: dipole
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y1^2, (Y2 * Y1^-1)^2, (Y3, Y1^-1), (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1^-4, Y3^6, Y2^-1 * Y3 * Y1 * Y3 * Y2^-1 * Y1^-1, Y1^-1 * Y3^-1 * Y2 * Y3 * Y2 * Y1^-1, Y2 * Y3^2 * Y2^-1 * Y1^-2, Y2^-1 * Y1^-3 * Y2^-1 * Y1^-1, Y2^2 * Y3 * Y2^-2 * Y1^-1, Y3 * Y2 * Y1 * Y2^-3, Y1^-1 * Y3^-1 * Y2^-4, Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1, (Y2^-1 * Y1^-1 * R)^2, Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 27, 75, 19, 67, 5, 53)(3, 51, 13, 61, 28, 76, 20, 68, 37, 85, 11, 59)(4, 52, 10, 58, 29, 77, 21, 69, 7, 55, 12, 60)(6, 54, 18, 66, 30, 78, 9, 57, 31, 79, 23, 71)(14, 62, 42, 90, 45, 93, 38, 86, 48, 96, 41, 89)(15, 63, 35, 83, 26, 74, 39, 87, 16, 64, 36, 84)(17, 65, 33, 81, 25, 73, 40, 88, 22, 70, 34, 82)(24, 72, 44, 92, 46, 94, 43, 91, 47, 95, 32, 80)(97, 145, 99, 147, 110, 158, 129, 177, 117, 165, 135, 183, 142, 190, 126, 174, 104, 152, 124, 172, 141, 189, 136, 184, 108, 156, 132, 180, 143, 191, 127, 175, 115, 163, 133, 181, 144, 192, 130, 178, 106, 154, 131, 179, 120, 168, 102, 150)(98, 146, 105, 153, 128, 176, 122, 170, 103, 151, 118, 166, 137, 185, 109, 157, 123, 171, 119, 167, 140, 188, 112, 160, 100, 148, 113, 161, 138, 186, 116, 164, 101, 149, 114, 162, 139, 187, 111, 159, 125, 173, 121, 169, 134, 182, 107, 155)
	L = (1, 100)(2, 106)(3, 111)(4, 104)(5, 108)(6, 118)(7, 97)(8, 125)(9, 129)(10, 123)(11, 132)(12, 98)(13, 131)(14, 128)(15, 124)(16, 99)(17, 127)(18, 130)(19, 103)(20, 135)(21, 101)(22, 126)(23, 136)(24, 134)(25, 102)(26, 133)(27, 117)(28, 122)(29, 115)(30, 113)(31, 121)(32, 141)(33, 119)(34, 105)(35, 116)(36, 109)(37, 112)(38, 142)(39, 107)(40, 114)(41, 143)(42, 120)(43, 110)(44, 144)(45, 140)(46, 137)(47, 138)(48, 139)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.778
Graph:: bipartite
	v = 10 e = 96 f = 32
	degree seq :: [ 12^8, 48^2 ]

E28.785 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 24})
Quotient :: dipole
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y2^2, (R * Y1)^2, (Y3 * Y1^-1)^2, (Y2 * Y1^-1)^2, (Y2, Y3), (R * Y3)^2, (R * Y2)^2, Y2^-1 * Y1^-1 * Y2^-1 * Y1^-3, (Y2^2 * Y1)^2, Y1^-2 * Y3 * Y1 * Y3 * Y1^-1, (Y3^-2 * Y1^-1)^2, Y3^-1 * Y1^-1 * Y3^2 * Y2 * Y1^-1, Y3 * Y2^2 * Y1^-1 * Y2^-1 * Y1^-1, Y1^-1 * Y2^-2 * Y3^-1 * Y2^-1 * Y1^-1, Y1^6, Y1 * Y3 * Y1 * Y2^21 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 27, 75, 20, 68, 5, 53)(3, 51, 13, 61, 28, 76, 21, 69, 37, 85, 11, 59)(4, 52, 17, 65, 29, 77, 22, 70, 40, 88, 12, 60)(6, 54, 18, 66, 30, 78, 9, 57, 32, 80, 23, 71)(7, 55, 19, 67, 31, 79, 10, 58, 36, 84, 26, 74)(14, 62, 34, 82, 25, 73, 38, 86, 47, 95, 42, 90)(15, 63, 33, 81, 24, 72, 39, 87, 46, 94, 43, 91)(16, 64, 35, 83, 45, 93, 41, 89, 48, 96, 44, 92)(97, 145, 99, 147, 110, 158, 132, 180, 144, 192, 136, 184, 142, 190, 126, 174, 104, 152, 124, 172, 121, 169, 103, 151, 112, 160, 100, 148, 111, 159, 128, 176, 116, 164, 133, 181, 143, 191, 127, 175, 141, 189, 125, 173, 120, 168, 102, 150)(98, 146, 105, 153, 129, 177, 118, 166, 140, 188, 115, 163, 138, 186, 109, 157, 123, 171, 119, 167, 135, 183, 108, 156, 131, 179, 106, 154, 130, 178, 117, 165, 101, 149, 114, 162, 139, 187, 113, 161, 137, 185, 122, 170, 134, 182, 107, 155)
	L = (1, 100)(2, 106)(3, 111)(4, 110)(5, 115)(6, 112)(7, 97)(8, 125)(9, 130)(10, 129)(11, 131)(12, 98)(13, 137)(14, 128)(15, 132)(16, 99)(17, 123)(18, 138)(19, 139)(20, 136)(21, 140)(22, 101)(23, 134)(24, 103)(25, 102)(26, 135)(27, 122)(28, 120)(29, 121)(30, 141)(31, 104)(32, 144)(33, 117)(34, 118)(35, 105)(36, 116)(37, 142)(38, 108)(39, 107)(40, 143)(41, 119)(42, 113)(43, 109)(44, 114)(45, 124)(46, 127)(47, 126)(48, 133)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.780
Graph:: bipartite
	v = 10 e = 96 f = 32
	degree seq :: [ 12^8, 48^2 ]

E28.786 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12, 24})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ R^2, Y1^4, Y1^4, Y2 * Y1 * Y2 * Y1^-1, (Y2^-1, Y3^-1), (R * Y2^-1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (Y1^-1 * Y3)^2, (R * Y1)^2, Y2^3 * Y3^2, (Y2^-1 * Y3 * Y1^-1)^2, Y1^-1 * Y3^-4 * Y1^-1, Y1^-1 * Y2 * Y1^-2 * Y2 * Y1^-2 * Y2 * Y1^-2 * Y2 * Y1^-2 * Y2 * Y1^-2 * Y2 * Y1^-2 * Y2 * Y1^-2 * Y2 * Y1^-1 * Y2^-1 * Y3^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 11, 59, 25, 73, 15, 63)(4, 52, 17, 65, 26, 74, 12, 60)(6, 54, 9, 57, 27, 75, 20, 68)(7, 55, 21, 69, 28, 76, 10, 58)(13, 61, 34, 82, 43, 91, 37, 85)(14, 62, 39, 87, 47, 95, 35, 83)(16, 64, 40, 88, 44, 92, 33, 81)(18, 66, 36, 84, 24, 72, 32, 80)(19, 67, 42, 90, 38, 86, 31, 79)(22, 70, 29, 77, 41, 89, 45, 93)(23, 71, 46, 94, 48, 96, 30, 78)(97, 145, 99, 147, 109, 157, 120, 168, 137, 185, 123, 171, 104, 152, 121, 169, 139, 187, 114, 162, 118, 166, 102, 150)(98, 146, 105, 153, 125, 173, 132, 180, 133, 181, 111, 159, 101, 149, 116, 164, 141, 189, 128, 176, 130, 178, 107, 155)(100, 148, 110, 158, 119, 167, 103, 151, 112, 160, 134, 182, 122, 170, 143, 191, 144, 192, 124, 172, 140, 188, 115, 163)(106, 154, 126, 174, 131, 179, 108, 156, 127, 175, 136, 184, 117, 165, 142, 190, 135, 183, 113, 161, 138, 186, 129, 177)
	L = (1, 100)(2, 106)(3, 110)(4, 114)(5, 117)(6, 115)(7, 97)(8, 122)(9, 126)(10, 128)(11, 129)(12, 98)(13, 119)(14, 118)(15, 136)(16, 99)(17, 101)(18, 124)(19, 139)(20, 142)(21, 132)(22, 140)(23, 102)(24, 103)(25, 143)(26, 120)(27, 134)(28, 104)(29, 131)(30, 130)(31, 105)(32, 113)(33, 141)(34, 138)(35, 107)(36, 108)(37, 127)(38, 109)(39, 111)(40, 125)(41, 112)(42, 116)(43, 144)(44, 121)(45, 135)(46, 133)(47, 137)(48, 123)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 48, 4, 48, 4, 48, 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E28.790
Graph:: bipartite
	v = 16 e = 96 f = 26
	degree seq :: [ 8^12, 24^4 ]

E28.787 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12, 24})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ R^2, Y1^4, (Y2^-1, Y3^-1), (R * Y3)^2, (Y3 * Y1^-1)^2, (R * Y2)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, Y2 * Y1 * Y2 * Y1^-1, Y2^3 * Y3^-2, (Y2^-1 * Y3 * Y1^-1)^2, Y3^-1 * Y1 * Y3^3 * Y1^-1, Y1^-2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-2, Y2^-1 * Y1^-1 * Y2^2 * Y3 * Y1 * Y3^-1, Y1^-1 * Y3^-1 * Y2^-1 * Y1 * Y3 * Y2^2, Y3^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 11, 59, 25, 73, 15, 63)(4, 52, 17, 65, 26, 74, 12, 60)(6, 54, 9, 57, 27, 75, 20, 68)(7, 55, 21, 69, 28, 76, 10, 58)(13, 61, 34, 82, 46, 94, 38, 86)(14, 62, 39, 87, 45, 93, 35, 83)(16, 64, 41, 89, 47, 95, 33, 81)(18, 66, 36, 84, 24, 72, 32, 80)(19, 67, 42, 90, 48, 96, 31, 79)(22, 70, 29, 77, 40, 88, 43, 91)(23, 71, 44, 92, 37, 85, 30, 78)(97, 145, 99, 147, 109, 157, 114, 162, 136, 184, 123, 171, 104, 152, 121, 169, 142, 190, 120, 168, 118, 166, 102, 150)(98, 146, 105, 153, 125, 173, 128, 176, 134, 182, 111, 159, 101, 149, 116, 164, 139, 187, 132, 180, 130, 178, 107, 155)(100, 148, 110, 158, 133, 181, 124, 172, 143, 191, 144, 192, 122, 170, 141, 189, 119, 167, 103, 151, 112, 160, 115, 163)(106, 154, 126, 174, 135, 183, 113, 161, 138, 186, 137, 185, 117, 165, 140, 188, 131, 179, 108, 156, 127, 175, 129, 177)
	L = (1, 100)(2, 106)(3, 110)(4, 114)(5, 117)(6, 115)(7, 97)(8, 122)(9, 126)(10, 128)(11, 129)(12, 98)(13, 133)(14, 136)(15, 137)(16, 99)(17, 101)(18, 124)(19, 109)(20, 140)(21, 132)(22, 112)(23, 102)(24, 103)(25, 141)(26, 120)(27, 144)(28, 104)(29, 135)(30, 134)(31, 105)(32, 113)(33, 125)(34, 127)(35, 107)(36, 108)(37, 123)(38, 138)(39, 111)(40, 143)(41, 139)(42, 116)(43, 131)(44, 130)(45, 118)(46, 119)(47, 121)(48, 142)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 48, 4, 48, 4, 48, 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E28.791
Graph:: bipartite
	v = 16 e = 96 f = 26
	degree seq :: [ 8^12, 24^4 ]

E28.788 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12, 24})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1 * Y3, (Y1^-1 * Y3^-1)^2, Y1^4, (R * Y1)^2, (R * Y2)^2, Y1 * Y2^-1 * Y1^-1 * Y2^-1, (Y1^-1 * Y3)^2, (R * Y3)^2, Y1^-2 * Y2^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 11, 59, 21, 69, 15, 63)(4, 52, 16, 64, 22, 70, 12, 60)(6, 54, 9, 57, 23, 71, 17, 65)(7, 55, 18, 66, 24, 72, 10, 58)(13, 61, 27, 75, 37, 85, 31, 79)(14, 62, 32, 80, 38, 86, 28, 76)(19, 67, 25, 73, 39, 87, 33, 81)(20, 68, 34, 82, 40, 88, 26, 74)(29, 77, 43, 91, 35, 83, 41, 89)(30, 78, 46, 94, 48, 96, 44, 92)(36, 84, 47, 95, 45, 93, 42, 90)(97, 145, 99, 147, 109, 157, 125, 173, 135, 183, 119, 167, 104, 152, 117, 165, 133, 181, 131, 179, 115, 163, 102, 150)(98, 146, 105, 153, 121, 169, 137, 185, 127, 175, 111, 159, 101, 149, 113, 161, 129, 177, 139, 187, 123, 171, 107, 155)(100, 148, 110, 158, 126, 174, 141, 189, 136, 184, 120, 168, 118, 166, 134, 182, 144, 192, 132, 180, 116, 164, 103, 151)(106, 154, 122, 170, 138, 186, 142, 190, 128, 176, 112, 160, 114, 162, 130, 178, 143, 191, 140, 188, 124, 172, 108, 156)
	L = (1, 100)(2, 106)(3, 110)(4, 99)(5, 114)(6, 103)(7, 97)(8, 118)(9, 122)(10, 105)(11, 108)(12, 98)(13, 126)(14, 109)(15, 112)(16, 101)(17, 130)(18, 113)(19, 116)(20, 102)(21, 134)(22, 117)(23, 120)(24, 104)(25, 138)(26, 121)(27, 124)(28, 107)(29, 141)(30, 125)(31, 128)(32, 111)(33, 143)(34, 129)(35, 132)(36, 115)(37, 144)(38, 133)(39, 136)(40, 119)(41, 142)(42, 137)(43, 140)(44, 123)(45, 135)(46, 127)(47, 139)(48, 131)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 48, 4, 48, 4, 48, 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E28.792
Graph:: bipartite
	v = 16 e = 96 f = 26
	degree seq :: [ 8^12, 24^4 ]

E28.789 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12, 24})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ R^2, (Y1 * Y3^-1)^2, (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y2^-1), (R * Y1)^2, Y1^-1 * Y2^-1 * Y1 * Y2^-1, (Y3^-1 * Y1^-1)^2, Y1^4, Y1 * Y2^-1 * Y3^2 * Y1, Y1 * Y2 * Y3^-2 * Y1, Y3 * Y1^-1 * Y2 * Y3^-1 * Y1, (Y2 * Y1^-1 * Y3)^2, Y3^2 * Y2^5, Y3^24 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 11, 59, 18, 66, 15, 63)(4, 52, 17, 65, 16, 64, 12, 60)(6, 54, 9, 57, 24, 72, 20, 68)(7, 55, 21, 69, 19, 67, 10, 58)(13, 61, 27, 75, 34, 82, 31, 79)(14, 62, 33, 81, 32, 80, 28, 76)(22, 70, 25, 73, 40, 88, 36, 84)(23, 71, 37, 85, 35, 83, 26, 74)(29, 77, 43, 91, 38, 86, 41, 89)(30, 78, 46, 94, 45, 93, 44, 92)(39, 87, 48, 96, 47, 95, 42, 90)(97, 145, 99, 147, 109, 157, 125, 173, 136, 184, 120, 168, 104, 152, 114, 162, 130, 178, 134, 182, 118, 166, 102, 150)(98, 146, 105, 153, 121, 169, 137, 185, 127, 175, 111, 159, 101, 149, 116, 164, 132, 180, 139, 187, 123, 171, 107, 155)(100, 148, 110, 158, 126, 174, 135, 183, 119, 167, 103, 151, 112, 160, 128, 176, 141, 189, 143, 191, 131, 179, 115, 163)(106, 154, 122, 170, 138, 186, 140, 188, 124, 172, 108, 156, 117, 165, 133, 181, 144, 192, 142, 190, 129, 177, 113, 161)
	L = (1, 100)(2, 106)(3, 110)(4, 114)(5, 117)(6, 115)(7, 97)(8, 112)(9, 122)(10, 116)(11, 113)(12, 98)(13, 126)(14, 130)(15, 108)(16, 99)(17, 101)(18, 128)(19, 104)(20, 133)(21, 105)(22, 131)(23, 102)(24, 103)(25, 138)(26, 132)(27, 129)(28, 107)(29, 135)(30, 134)(31, 124)(32, 109)(33, 111)(34, 141)(35, 120)(36, 144)(37, 121)(38, 143)(39, 118)(40, 119)(41, 140)(42, 139)(43, 142)(44, 123)(45, 125)(46, 127)(47, 136)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 48, 4, 48, 4, 48, 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E28.793
Graph:: bipartite
	v = 16 e = 96 f = 26
	degree seq :: [ 8^12, 24^4 ]

E28.790 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12, 24})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y1^-1, Y3^-1), (R * Y1)^2, (R * Y3)^2, Y1^3 * Y3^-3, Y2 * Y1 * Y3 * Y1 * Y2 * Y1^-1, Y2 * Y1^-1 * Y3 * Y2 * Y3 * Y1^-1, (Y2 * Y1^-1 * Y3^-1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y1^3 * Y2, Y1^6 * Y3^2, (Y1 * Y2)^4, Y3^8, Y2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 23, 71, 42, 90, 41, 89, 22, 70, 34, 82, 17, 65, 4, 52, 9, 57, 25, 73, 43, 91, 37, 85, 20, 68, 6, 54, 10, 58, 26, 74, 16, 64, 32, 80, 45, 93, 38, 86, 19, 67, 5, 53)(3, 51, 11, 59, 30, 78, 15, 63, 40, 88, 47, 95, 39, 87, 44, 92, 33, 81, 12, 60, 29, 77, 8, 56, 27, 75, 18, 66, 31, 79, 14, 62, 35, 83, 48, 96, 36, 84, 46, 94, 28, 76, 21, 69, 24, 72, 13, 61)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 111, 159)(101, 149, 114, 162)(102, 150, 117, 165)(103, 151, 120, 168)(105, 153, 127, 175)(106, 154, 129, 177)(107, 155, 121, 169)(108, 156, 119, 167)(109, 157, 133, 181)(110, 158, 134, 182)(112, 160, 135, 183)(113, 161, 131, 179)(115, 163, 126, 174)(116, 164, 125, 173)(118, 166, 132, 180)(122, 170, 142, 190)(123, 171, 139, 187)(124, 172, 138, 186)(128, 176, 144, 192)(130, 178, 143, 191)(136, 184, 141, 189)(137, 185, 140, 188)
	L = (1, 100)(2, 105)(3, 108)(4, 112)(5, 113)(6, 97)(7, 121)(8, 124)(9, 128)(10, 98)(11, 125)(12, 132)(13, 129)(14, 99)(15, 123)(16, 119)(17, 122)(18, 120)(19, 130)(20, 101)(21, 135)(22, 102)(23, 139)(24, 140)(25, 141)(26, 103)(27, 117)(28, 143)(29, 142)(30, 104)(31, 109)(32, 138)(33, 144)(34, 106)(35, 107)(36, 111)(37, 115)(38, 118)(39, 110)(40, 114)(41, 116)(42, 133)(43, 134)(44, 131)(45, 137)(46, 136)(47, 127)(48, 126)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.786
Graph:: bipartite
	v = 26 e = 96 f = 16
	degree seq :: [ 4^24, 48^2 ]

E28.791 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12, 24})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1^3 * Y3, (R * Y3)^2, (Y1, Y3), (R * Y1)^2, Y3 * Y2 * Y3^-1 * Y2 * Y3^2, Y2 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y3, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y3 * Y2 * Y1^-2, Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2 * R * Y1^-1 * Y2 * Y3^-1 * Y1 * R * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 6, 54, 10, 58, 22, 70, 20, 68, 30, 78, 42, 90, 36, 84, 47, 95, 31, 79, 43, 91, 35, 83, 46, 94, 33, 81, 44, 92, 39, 87, 16, 64, 28, 76, 17, 65, 4, 52, 9, 57, 5, 53)(3, 51, 11, 59, 27, 75, 14, 62, 32, 80, 45, 93, 37, 85, 41, 89, 24, 72, 19, 67, 25, 73, 8, 56, 23, 71, 18, 66, 26, 74, 15, 63, 38, 86, 48, 96, 34, 82, 40, 88, 29, 77, 12, 60, 21, 69, 13, 61)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 111, 159)(101, 149, 114, 162)(102, 150, 115, 163)(103, 151, 117, 165)(105, 153, 123, 171)(106, 154, 125, 173)(107, 155, 127, 175)(108, 156, 129, 177)(109, 157, 131, 179)(110, 158, 132, 180)(112, 160, 133, 181)(113, 161, 128, 176)(116, 164, 130, 178)(118, 166, 137, 185)(119, 167, 139, 187)(120, 168, 140, 188)(121, 169, 142, 190)(122, 170, 143, 191)(124, 172, 144, 192)(126, 174, 141, 189)(134, 182, 138, 186)(135, 183, 136, 184)
	L = (1, 100)(2, 105)(3, 108)(4, 112)(5, 113)(6, 97)(7, 101)(8, 120)(9, 124)(10, 98)(11, 117)(12, 130)(13, 125)(14, 99)(15, 119)(16, 129)(17, 135)(18, 121)(19, 133)(20, 102)(21, 136)(22, 103)(23, 115)(24, 141)(25, 137)(26, 104)(27, 109)(28, 140)(29, 144)(30, 106)(31, 138)(32, 107)(33, 139)(34, 111)(35, 143)(36, 116)(37, 110)(38, 114)(39, 142)(40, 134)(41, 128)(42, 118)(43, 132)(44, 131)(45, 123)(46, 127)(47, 126)(48, 122)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.787
Graph:: bipartite
	v = 26 e = 96 f = 16
	degree seq :: [ 4^24, 48^2 ]

E28.792 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12, 24})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1^-2)^2, (Y2 * Y1^-1)^4, (Y3 * Y2)^4, Y2 * Y1^-1 * Y2 * Y1^11, Y1^-2 * Y2 * Y1^5 * Y2 * Y1^-5, (Y3^-1 * Y1^-1)^12 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53, 11, 59, 20, 68, 29, 77, 37, 85, 45, 93, 42, 90, 34, 82, 26, 74, 16, 64, 23, 71, 17, 65, 24, 72, 32, 80, 40, 88, 48, 96, 44, 92, 36, 84, 28, 76, 19, 67, 10, 58, 4, 52)(3, 51, 7, 55, 15, 63, 25, 73, 33, 81, 41, 89, 47, 95, 38, 86, 31, 79, 21, 69, 14, 62, 6, 54, 13, 61, 9, 57, 18, 66, 27, 75, 35, 83, 43, 91, 46, 94, 39, 87, 30, 78, 22, 70, 12, 60, 8, 56)(97, 145, 99, 147)(98, 146, 102, 150)(100, 148, 105, 153)(101, 149, 108, 156)(103, 151, 112, 160)(104, 152, 113, 161)(106, 154, 111, 159)(107, 155, 117, 165)(109, 157, 119, 167)(110, 158, 120, 168)(114, 162, 122, 170)(115, 163, 123, 171)(116, 164, 126, 174)(118, 166, 128, 176)(121, 169, 130, 178)(124, 172, 129, 177)(125, 173, 134, 182)(127, 175, 136, 184)(131, 179, 138, 186)(132, 180, 139, 187)(133, 181, 142, 190)(135, 183, 144, 192)(137, 185, 141, 189)(140, 188, 143, 191)
	L = (1, 98)(2, 101)(3, 103)(4, 97)(5, 107)(6, 109)(7, 111)(8, 99)(9, 114)(10, 100)(11, 116)(12, 104)(13, 105)(14, 102)(15, 121)(16, 119)(17, 120)(18, 123)(19, 106)(20, 125)(21, 110)(22, 108)(23, 113)(24, 128)(25, 129)(26, 112)(27, 131)(28, 115)(29, 133)(30, 118)(31, 117)(32, 136)(33, 137)(34, 122)(35, 139)(36, 124)(37, 141)(38, 127)(39, 126)(40, 144)(41, 143)(42, 130)(43, 142)(44, 132)(45, 138)(46, 135)(47, 134)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.788
Graph:: bipartite
	v = 26 e = 96 f = 16
	degree seq :: [ 4^24, 48^2 ]

E28.793 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12, 24})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y1^-1)^2, Y1^-1 * Y3^2 * Y1^-1, (Y3^-1, Y1^-1), Y3 * Y2 * Y1 * Y2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y2)^2, Y3^-11 * Y1^-1, (Y1^-1 * Y3^-1)^12 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 16, 64, 25, 73, 33, 81, 41, 89, 40, 88, 32, 80, 24, 72, 15, 63, 6, 54, 10, 58, 4, 52, 9, 57, 18, 66, 27, 75, 35, 83, 43, 91, 39, 87, 31, 79, 23, 71, 14, 62, 5, 53)(3, 51, 11, 59, 21, 69, 29, 77, 37, 85, 45, 93, 48, 96, 42, 90, 36, 84, 26, 74, 20, 68, 8, 56, 19, 67, 12, 60, 22, 70, 30, 78, 38, 86, 46, 94, 47, 95, 44, 92, 34, 82, 28, 76, 17, 65, 13, 61)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 109, 157)(101, 149, 108, 156)(102, 150, 107, 155)(103, 151, 113, 161)(105, 153, 116, 164)(106, 154, 115, 163)(110, 158, 117, 165)(111, 159, 118, 166)(112, 160, 122, 170)(114, 162, 124, 172)(119, 167, 126, 174)(120, 168, 125, 173)(121, 169, 130, 178)(123, 171, 132, 180)(127, 175, 133, 181)(128, 176, 134, 182)(129, 177, 138, 186)(131, 179, 140, 188)(135, 183, 142, 190)(136, 184, 141, 189)(137, 185, 143, 191)(139, 187, 144, 192)
	L = (1, 100)(2, 105)(3, 108)(4, 103)(5, 106)(6, 97)(7, 114)(8, 99)(9, 112)(10, 98)(11, 118)(12, 117)(13, 115)(14, 102)(15, 101)(16, 123)(17, 104)(18, 121)(19, 107)(20, 109)(21, 126)(22, 125)(23, 111)(24, 110)(25, 131)(26, 113)(27, 129)(28, 116)(29, 134)(30, 133)(31, 120)(32, 119)(33, 139)(34, 122)(35, 137)(36, 124)(37, 142)(38, 141)(39, 128)(40, 127)(41, 135)(42, 130)(43, 136)(44, 132)(45, 143)(46, 144)(47, 138)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.789
Graph:: bipartite
	v = 26 e = 96 f = 16
	degree seq :: [ 4^24, 48^2 ]

E28.794 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12, 24})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y3^4, R * Y2 * R * Y2^-1, (R * Y1)^2, (Y2^-1 * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y3^-1 * Y1 * Y3^-1, Y3 * Y2 * Y3^2 * Y2^-1 * Y3, Y2^-1 * Y3 * Y2 * Y3 * Y2^-4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 14, 62)(5, 53, 7, 55)(6, 54, 19, 67)(8, 56, 13, 61)(10, 58, 12, 60)(11, 59, 23, 71)(15, 63, 29, 77)(16, 64, 22, 70)(17, 65, 20, 68)(18, 66, 35, 83)(21, 69, 27, 75)(24, 72, 26, 74)(25, 73, 39, 87)(28, 76, 38, 86)(30, 78, 32, 80)(31, 79, 45, 93)(33, 81, 36, 84)(34, 82, 47, 95)(37, 85, 43, 91)(40, 88, 42, 90)(41, 89, 46, 94)(44, 92, 48, 96)(97, 145, 99, 147, 107, 155, 121, 169, 137, 185, 128, 176, 112, 160, 124, 172, 140, 188, 129, 177, 113, 161, 101, 149)(98, 146, 103, 151, 116, 164, 132, 180, 144, 192, 134, 182, 118, 166, 126, 174, 142, 190, 135, 183, 119, 167, 105, 153)(100, 148, 111, 159, 127, 175, 139, 187, 123, 171, 109, 157, 102, 150, 114, 162, 130, 178, 138, 186, 122, 170, 108, 156)(104, 152, 117, 165, 133, 181, 141, 189, 125, 173, 110, 158, 106, 154, 120, 168, 136, 184, 143, 191, 131, 179, 115, 163)
	L = (1, 100)(2, 104)(3, 108)(4, 112)(5, 111)(6, 97)(7, 115)(8, 118)(9, 117)(10, 98)(11, 122)(12, 124)(13, 99)(14, 103)(15, 128)(16, 102)(17, 127)(18, 101)(19, 126)(20, 131)(21, 134)(22, 106)(23, 133)(24, 105)(25, 138)(26, 140)(27, 107)(28, 109)(29, 116)(30, 110)(31, 137)(32, 114)(33, 139)(34, 113)(35, 142)(36, 143)(37, 144)(38, 120)(39, 141)(40, 119)(41, 130)(42, 129)(43, 121)(44, 123)(45, 132)(46, 125)(47, 135)(48, 136)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 48, 8, 48 ), ( 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48 ) }
Outer automorphisms :: reflexible
Dual of E28.801
Graph:: simple bipartite
	v = 28 e = 96 f = 14
	degree seq :: [ 4^24, 24^4 ]

E28.795 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12, 24})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y2^-1 * Y3^-1 * Y2^-1, R * Y2 * R * Y2^-1, Y3^4, (R * Y1)^2, (Y2 * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y3^-1 * Y1 * Y3, Y2^-1 * Y3^2 * Y2 * Y3^2, Y2^2 * Y3 * Y2 * Y3^2 * Y2 * Y3, Y2^-1 * Y3 * Y2 * Y3 * Y2^-4, Y1 * Y2^-1 * Y3 * Y2^2 * Y1 * Y3 * Y2^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 14, 62)(5, 53, 7, 55)(6, 54, 19, 67)(8, 56, 12, 60)(10, 58, 13, 61)(11, 59, 23, 71)(15, 63, 30, 78)(16, 64, 22, 70)(17, 65, 20, 68)(18, 66, 35, 83)(21, 69, 26, 74)(24, 72, 27, 75)(25, 73, 39, 87)(28, 76, 38, 86)(29, 77, 32, 80)(31, 79, 46, 94)(33, 81, 36, 84)(34, 82, 47, 95)(37, 85, 42, 90)(40, 88, 43, 91)(41, 89, 45, 93)(44, 92, 48, 96)(97, 145, 99, 147, 107, 155, 121, 169, 137, 185, 128, 176, 112, 160, 124, 172, 140, 188, 129, 177, 113, 161, 101, 149)(98, 146, 103, 151, 116, 164, 132, 180, 144, 192, 134, 182, 118, 166, 125, 173, 141, 189, 135, 183, 119, 167, 105, 153)(100, 148, 111, 159, 127, 175, 139, 187, 123, 171, 109, 157, 102, 150, 114, 162, 130, 178, 138, 186, 122, 170, 108, 156)(104, 152, 117, 165, 133, 181, 143, 191, 131, 179, 115, 163, 106, 154, 120, 168, 136, 184, 142, 190, 126, 174, 110, 158)
	L = (1, 100)(2, 104)(3, 108)(4, 112)(5, 111)(6, 97)(7, 110)(8, 118)(9, 117)(10, 98)(11, 122)(12, 124)(13, 99)(14, 125)(15, 128)(16, 102)(17, 127)(18, 101)(19, 103)(20, 126)(21, 134)(22, 106)(23, 133)(24, 105)(25, 138)(26, 140)(27, 107)(28, 109)(29, 115)(30, 141)(31, 137)(32, 114)(33, 139)(34, 113)(35, 116)(36, 142)(37, 144)(38, 120)(39, 143)(40, 119)(41, 130)(42, 129)(43, 121)(44, 123)(45, 131)(46, 135)(47, 132)(48, 136)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 48, 8, 48 ), ( 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48 ) }
Outer automorphisms :: reflexible
Dual of E28.800
Graph:: simple bipartite
	v = 28 e = 96 f = 14
	degree seq :: [ 4^24, 24^4 ]

E28.796 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12, 24})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^4, (Y1 * Y2)^2, Y3^4, R * Y2 * R * Y2^-1, (R * Y1)^2, Y3^-1 * Y2^-1 * Y3 * Y2^-1, (R * Y3)^2, Y3 * Y1 * Y2^-1 * Y3^-1 * Y1, Y3^-1 * Y2^-1 * Y3^-2 * Y2 * Y3^-1, Y3^2 * Y2^6, Y2^-1 * Y3 * Y2^2 * Y3 * Y2^-3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 14, 62)(5, 53, 7, 55)(6, 54, 19, 67)(8, 56, 15, 63)(10, 58, 18, 66)(11, 59, 24, 72)(12, 60, 28, 76)(13, 61, 30, 78)(16, 64, 23, 71)(17, 65, 20, 68)(21, 69, 32, 80)(22, 70, 35, 83)(25, 73, 40, 88)(26, 74, 44, 92)(27, 75, 46, 94)(29, 77, 31, 79)(33, 81, 39, 87)(34, 82, 36, 84)(37, 85, 43, 91)(38, 86, 42, 90)(41, 89, 48, 96)(45, 93, 47, 95)(97, 145, 99, 147, 107, 155, 121, 169, 137, 185, 129, 177, 112, 160, 125, 173, 141, 189, 130, 178, 113, 161, 101, 149)(98, 146, 103, 151, 116, 164, 132, 180, 143, 191, 127, 175, 119, 167, 135, 183, 144, 192, 136, 184, 120, 168, 105, 153)(100, 148, 111, 159, 128, 176, 139, 187, 123, 171, 109, 157, 102, 150, 114, 162, 131, 179, 138, 186, 122, 170, 108, 156)(104, 152, 110, 158, 124, 172, 140, 188, 134, 182, 118, 166, 106, 154, 115, 163, 126, 174, 142, 190, 133, 181, 117, 165)
	L = (1, 100)(2, 104)(3, 108)(4, 112)(5, 111)(6, 97)(7, 117)(8, 119)(9, 110)(10, 98)(11, 122)(12, 125)(13, 99)(14, 127)(15, 129)(16, 102)(17, 128)(18, 101)(19, 105)(20, 133)(21, 135)(22, 103)(23, 106)(24, 124)(25, 138)(26, 141)(27, 107)(28, 143)(29, 109)(30, 120)(31, 115)(32, 137)(33, 114)(34, 139)(35, 113)(36, 142)(37, 144)(38, 116)(39, 118)(40, 140)(41, 131)(42, 130)(43, 121)(44, 132)(45, 123)(46, 136)(47, 126)(48, 134)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 48, 8, 48 ), ( 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48 ) }
Outer automorphisms :: reflexible
Dual of E28.799
Graph:: simple bipartite
	v = 28 e = 96 f = 14
	degree seq :: [ 4^24, 24^4 ]

E28.797 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12, 24})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^4, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2^-1 * Y3 * Y2^-1, (Y1 * Y2^-1)^2, Y1 * Y2^-1 * Y3^-1 * Y1 * Y3^-1, Y3^2 * Y2 * Y3^2 * Y2^-1, Y3^2 * Y2^6, Y2^-1 * Y3 * Y2^2 * Y3 * Y2^-3, Y2^-1 * Y1 * Y2^2 * Y3 * Y1 * Y3^-1 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 14, 62)(5, 53, 7, 55)(6, 54, 19, 67)(8, 56, 18, 66)(10, 58, 15, 63)(11, 59, 24, 72)(12, 60, 28, 76)(13, 61, 30, 78)(16, 64, 23, 71)(17, 65, 20, 68)(21, 69, 35, 83)(22, 70, 32, 80)(25, 73, 40, 88)(26, 74, 44, 92)(27, 75, 46, 94)(29, 77, 31, 79)(33, 81, 39, 87)(34, 82, 36, 84)(37, 85, 42, 90)(38, 86, 43, 91)(41, 89, 48, 96)(45, 93, 47, 95)(97, 145, 99, 147, 107, 155, 121, 169, 137, 185, 129, 177, 112, 160, 125, 173, 141, 189, 130, 178, 113, 161, 101, 149)(98, 146, 103, 151, 116, 164, 132, 180, 143, 191, 127, 175, 119, 167, 135, 183, 144, 192, 136, 184, 120, 168, 105, 153)(100, 148, 111, 159, 128, 176, 139, 187, 123, 171, 109, 157, 102, 150, 114, 162, 131, 179, 138, 186, 122, 170, 108, 156)(104, 152, 115, 163, 126, 174, 142, 190, 134, 182, 118, 166, 106, 154, 110, 158, 124, 172, 140, 188, 133, 181, 117, 165)
	L = (1, 100)(2, 104)(3, 108)(4, 112)(5, 111)(6, 97)(7, 117)(8, 119)(9, 115)(10, 98)(11, 122)(12, 125)(13, 99)(14, 105)(15, 129)(16, 102)(17, 128)(18, 101)(19, 127)(20, 133)(21, 135)(22, 103)(23, 106)(24, 126)(25, 138)(26, 141)(27, 107)(28, 120)(29, 109)(30, 143)(31, 110)(32, 137)(33, 114)(34, 139)(35, 113)(36, 140)(37, 144)(38, 116)(39, 118)(40, 142)(41, 131)(42, 130)(43, 121)(44, 136)(45, 123)(46, 132)(47, 124)(48, 134)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 48, 8, 48 ), ( 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48 ) }
Outer automorphisms :: reflexible
Dual of E28.798
Graph:: simple bipartite
	v = 28 e = 96 f = 14
	degree seq :: [ 4^24, 24^4 ]

E28.798 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12, 24})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ R^2, Y2^-3 * Y3, (R * Y2)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, Y1^4, (Y2 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (Y2^-1 * Y1^-1)^2, Y2^-1 * Y1^2 * Y2 * Y1^-2, Y3^-1 * Y1^-1 * Y3^3 * Y1, Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-2 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 23, 71, 11, 59)(4, 52, 17, 65, 24, 72, 12, 60)(6, 54, 19, 67, 25, 73, 9, 57)(7, 55, 20, 68, 26, 74, 10, 58)(14, 62, 29, 77, 41, 89, 34, 82)(15, 63, 31, 79, 42, 90, 35, 83)(16, 64, 27, 75, 43, 91, 33, 81)(18, 66, 32, 80, 22, 70, 30, 78)(21, 69, 28, 76, 44, 92, 39, 87)(36, 84, 46, 94, 40, 88, 47, 95)(37, 85, 45, 93, 38, 86, 48, 96)(97, 145, 99, 147, 110, 158, 100, 148, 111, 159, 132, 180, 114, 162, 133, 181, 140, 188, 122, 170, 139, 187, 121, 169, 104, 152, 119, 167, 137, 185, 120, 168, 138, 186, 136, 184, 118, 166, 134, 182, 117, 165, 103, 151, 112, 160, 102, 150)(98, 146, 105, 153, 123, 171, 106, 154, 124, 172, 141, 189, 126, 174, 142, 190, 131, 179, 113, 161, 130, 178, 109, 157, 101, 149, 115, 163, 129, 177, 116, 164, 135, 183, 144, 192, 128, 176, 143, 191, 127, 175, 108, 156, 125, 173, 107, 155)
	L = (1, 100)(2, 106)(3, 111)(4, 114)(5, 116)(6, 110)(7, 97)(8, 120)(9, 124)(10, 126)(11, 123)(12, 98)(13, 129)(14, 132)(15, 133)(16, 99)(17, 101)(18, 122)(19, 135)(20, 128)(21, 102)(22, 103)(23, 138)(24, 118)(25, 137)(26, 104)(27, 141)(28, 142)(29, 105)(30, 113)(31, 107)(32, 108)(33, 144)(34, 115)(35, 109)(36, 140)(37, 139)(38, 112)(39, 143)(40, 117)(41, 136)(42, 134)(43, 119)(44, 121)(45, 131)(46, 130)(47, 125)(48, 127)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24, 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.797
Graph:: bipartite
	v = 14 e = 96 f = 28
	degree seq :: [ 8^12, 48^2 ]

E28.799 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12, 24})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ R^2, Y1^4, (Y3^-1, Y2), (Y2 * Y1^-1)^2, (Y3 * Y1^-1)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1 * Y1^-1)^2, (Y1 * Y2)^2, (R * Y3)^2, Y3^-1 * Y2^-1 * Y3^-2 * Y2^-2, Y2^-3 * Y3 * Y1^-2, Y2 * Y1^2 * Y2^-1 * Y1^-2, Y3^3 * Y1 * Y3^-1 * Y1^-1, Y1^-1 * Y3^-1 * Y2^2 * Y1 * Y2^-1, Y3 * Y1^-2 * Y2^21, (Y2^-1 * Y3)^12 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 25, 73, 11, 59)(4, 52, 17, 65, 26, 74, 12, 60)(6, 54, 20, 68, 27, 75, 9, 57)(7, 55, 21, 69, 28, 76, 10, 58)(14, 62, 34, 82, 19, 67, 31, 79)(15, 63, 35, 83, 43, 91, 37, 85)(16, 64, 33, 81, 22, 70, 29, 77)(18, 66, 36, 84, 24, 72, 32, 80)(23, 71, 30, 78, 44, 92, 42, 90)(38, 86, 47, 95, 41, 89, 46, 94)(39, 87, 48, 96, 40, 88, 45, 93)(97, 145, 99, 147, 110, 158, 122, 170, 139, 187, 137, 185, 114, 162, 135, 183, 119, 167, 103, 151, 112, 160, 123, 171, 104, 152, 121, 169, 115, 163, 100, 148, 111, 159, 134, 182, 120, 168, 136, 184, 140, 188, 124, 172, 118, 166, 102, 150)(98, 146, 105, 153, 125, 173, 117, 165, 138, 186, 144, 192, 128, 176, 142, 190, 131, 179, 108, 156, 127, 175, 109, 157, 101, 149, 116, 164, 129, 177, 106, 154, 126, 174, 141, 189, 132, 180, 143, 191, 133, 181, 113, 161, 130, 178, 107, 155)
	L = (1, 100)(2, 106)(3, 111)(4, 114)(5, 117)(6, 115)(7, 97)(8, 122)(9, 126)(10, 128)(11, 129)(12, 98)(13, 125)(14, 134)(15, 135)(16, 99)(17, 101)(18, 124)(19, 137)(20, 138)(21, 132)(22, 121)(23, 102)(24, 103)(25, 139)(26, 120)(27, 110)(28, 104)(29, 141)(30, 142)(31, 105)(32, 113)(33, 144)(34, 116)(35, 107)(36, 108)(37, 109)(38, 119)(39, 118)(40, 112)(41, 140)(42, 143)(43, 136)(44, 123)(45, 131)(46, 130)(47, 127)(48, 133)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24, 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.796
Graph:: bipartite
	v = 14 e = 96 f = 28
	degree seq :: [ 8^12, 48^2 ]

E28.800 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12, 24})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^-1 * Y1^-2, Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1, (Y2 * Y1)^2, Y2^-1 * Y3^-1 * Y1^2, (Y3 * Y1^-1)^2, (Y3^-1 * Y2^-1)^2, Y3^-1 * Y1 * Y2 * Y1^-1, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3^2 * Y2^2, Y2^-10 * Y3 * Y2^-1, (Y3 * Y2^-1)^12 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 10, 58, 7, 55, 11, 59)(4, 52, 9, 57, 6, 54, 12, 60)(13, 61, 19, 67, 14, 62, 20, 68)(15, 63, 17, 65, 16, 64, 18, 66)(21, 69, 27, 75, 22, 70, 28, 76)(23, 71, 25, 73, 24, 72, 26, 74)(29, 77, 35, 83, 30, 78, 36, 84)(31, 79, 33, 81, 32, 80, 34, 82)(37, 85, 43, 91, 38, 86, 44, 92)(39, 87, 41, 89, 40, 88, 42, 90)(45, 93, 48, 96, 46, 94, 47, 95)(97, 145, 99, 147, 109, 157, 117, 165, 125, 173, 133, 181, 141, 189, 135, 183, 128, 176, 119, 167, 112, 160, 100, 148, 104, 152, 103, 151, 110, 158, 118, 166, 126, 174, 134, 182, 142, 190, 136, 184, 127, 175, 120, 168, 111, 159, 102, 150)(98, 146, 105, 153, 113, 161, 121, 169, 129, 177, 137, 185, 143, 191, 139, 187, 132, 180, 123, 171, 116, 164, 106, 154, 101, 149, 108, 156, 114, 162, 122, 170, 130, 178, 138, 186, 144, 192, 140, 188, 131, 179, 124, 172, 115, 163, 107, 155)
	L = (1, 100)(2, 106)(3, 104)(4, 111)(5, 107)(6, 112)(7, 97)(8, 102)(9, 101)(10, 115)(11, 116)(12, 98)(13, 103)(14, 99)(15, 119)(16, 120)(17, 108)(18, 105)(19, 123)(20, 124)(21, 110)(22, 109)(23, 127)(24, 128)(25, 114)(26, 113)(27, 131)(28, 132)(29, 118)(30, 117)(31, 135)(32, 136)(33, 122)(34, 121)(35, 139)(36, 140)(37, 126)(38, 125)(39, 142)(40, 141)(41, 130)(42, 129)(43, 144)(44, 143)(45, 134)(46, 133)(47, 138)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24, 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.795
Graph:: bipartite
	v = 14 e = 96 f = 28
	degree seq :: [ 8^12, 48^2 ]

E28.801 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12, 24})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2, Y3 * Y1^-1 * Y2^-1 * Y1^-1, (Y3^-1 * Y1^-1)^2, R * Y2 * R * Y3^-1, Y1^4, (R * Y1)^2, Y1^-1 * Y3^6 * Y2^-6 * Y1^-1, (Y3 * Y2^-1)^12, Y2^24 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 6, 54, 5, 53)(3, 51, 9, 57, 13, 61, 8, 56)(4, 52, 11, 59, 14, 62, 7, 55)(10, 58, 16, 64, 21, 69, 17, 65)(12, 60, 15, 63, 22, 70, 19, 67)(18, 66, 25, 73, 29, 77, 24, 72)(20, 68, 27, 75, 30, 78, 23, 71)(26, 74, 32, 80, 37, 85, 33, 81)(28, 76, 31, 79, 38, 86, 35, 83)(34, 82, 41, 89, 45, 93, 40, 88)(36, 84, 43, 91, 46, 94, 39, 87)(42, 90, 48, 96, 44, 92, 47, 95)(97, 145, 99, 147, 106, 154, 114, 162, 122, 170, 130, 178, 138, 186, 142, 190, 134, 182, 126, 174, 118, 166, 110, 158, 102, 150, 109, 157, 117, 165, 125, 173, 133, 181, 141, 189, 140, 188, 132, 180, 124, 172, 116, 164, 108, 156, 100, 148)(98, 146, 103, 151, 111, 159, 119, 167, 127, 175, 135, 183, 143, 191, 137, 185, 129, 177, 121, 169, 113, 161, 105, 153, 101, 149, 107, 155, 115, 163, 123, 171, 131, 179, 139, 187, 144, 192, 136, 184, 128, 176, 120, 168, 112, 160, 104, 152)
	L = (1, 100)(2, 104)(3, 97)(4, 108)(5, 105)(6, 110)(7, 98)(8, 112)(9, 113)(10, 99)(11, 101)(12, 116)(13, 102)(14, 118)(15, 103)(16, 120)(17, 121)(18, 106)(19, 107)(20, 124)(21, 109)(22, 126)(23, 111)(24, 128)(25, 129)(26, 114)(27, 115)(28, 132)(29, 117)(30, 134)(31, 119)(32, 136)(33, 137)(34, 122)(35, 123)(36, 140)(37, 125)(38, 142)(39, 127)(40, 144)(41, 143)(42, 130)(43, 131)(44, 141)(45, 133)(46, 138)(47, 135)(48, 139)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24, 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.794
Graph:: bipartite
	v = 14 e = 96 f = 28
	degree seq :: [ 8^12, 48^2 ]

E28.802 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12, 24})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y2^-1 * Y3^-1 * Y2^-1, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * Y1)^2, Y2^4, Y1 * Y2^-1 * Y3^-1 * Y1 * Y3, Y1 * Y3^-2 * Y2 * Y1 * Y3 * Y2^-1 * Y3, Y3 * Y2^-1 * Y3^4 * Y2^-1 * Y3, Y1 * Y3^3 * Y1 * Y3^2 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 14, 62)(5, 53, 7, 55)(6, 54, 18, 66)(8, 56, 15, 63)(10, 58, 17, 65)(11, 59, 20, 68)(12, 60, 27, 75)(13, 61, 29, 77)(16, 64, 23, 71)(19, 67, 24, 72)(21, 69, 25, 73)(22, 70, 26, 74)(28, 76, 31, 79)(30, 78, 35, 83)(32, 80, 37, 85)(33, 81, 47, 95)(34, 82, 38, 86)(36, 84, 48, 96)(39, 87, 46, 94)(40, 88, 44, 92)(41, 89, 43, 91)(42, 90, 45, 93)(97, 145, 99, 147, 107, 155, 101, 149)(98, 146, 103, 151, 116, 164, 105, 153)(100, 148, 111, 159, 121, 169, 108, 156)(102, 150, 113, 161, 122, 170, 109, 157)(104, 152, 110, 158, 123, 171, 117, 165)(106, 154, 114, 162, 125, 173, 118, 166)(112, 160, 124, 172, 137, 185, 128, 176)(115, 163, 126, 174, 138, 186, 130, 178)(119, 167, 133, 181, 139, 187, 127, 175)(120, 168, 134, 182, 141, 189, 131, 179)(129, 177, 142, 190, 132, 180, 140, 188)(135, 183, 143, 191, 136, 184, 144, 192)
	L = (1, 100)(2, 104)(3, 108)(4, 112)(5, 111)(6, 97)(7, 117)(8, 119)(9, 110)(10, 98)(11, 121)(12, 124)(13, 99)(14, 127)(15, 128)(16, 129)(17, 101)(18, 105)(19, 102)(20, 123)(21, 133)(22, 103)(23, 135)(24, 106)(25, 137)(26, 107)(27, 139)(28, 140)(29, 116)(30, 109)(31, 143)(32, 142)(33, 138)(34, 113)(35, 114)(36, 115)(37, 144)(38, 118)(39, 141)(40, 120)(41, 132)(42, 122)(43, 136)(44, 130)(45, 125)(46, 126)(47, 134)(48, 131)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 24, 48, 24, 48 ), ( 24, 48, 24, 48, 24, 48, 24, 48 ) }
Outer automorphisms :: reflexible
Dual of E28.813
Graph:: simple bipartite
	v = 36 e = 96 f = 6
	degree seq :: [ 4^24, 8^12 ]

E28.803 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12, 24})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, Y3^-1 * Y2 * Y3 * Y2, (R * Y3)^2, (R * Y1)^2, R * Y2 * R * Y2^-1, (Y2 * Y1)^2, Y1 * Y3^-1 * Y1 * Y2 * Y3, Y2^-2 * Y3^-1 * Y2^2 * Y3, Y2^2 * Y3^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 14, 62)(5, 53, 7, 55)(6, 54, 18, 66)(8, 56, 12, 60)(10, 58, 13, 61)(11, 59, 20, 68)(15, 63, 30, 78)(16, 64, 22, 70)(17, 65, 33, 81)(19, 67, 24, 72)(21, 69, 25, 73)(23, 71, 26, 74)(27, 75, 37, 85)(28, 76, 39, 87)(29, 77, 31, 79)(32, 80, 46, 94)(34, 82, 35, 83)(36, 84, 48, 96)(38, 86, 43, 91)(40, 88, 44, 92)(41, 89, 45, 93)(42, 90, 47, 95)(97, 145, 99, 147, 107, 155, 101, 149)(98, 146, 103, 151, 116, 164, 105, 153)(100, 148, 111, 159, 121, 169, 108, 156)(102, 150, 113, 161, 122, 170, 109, 157)(104, 152, 117, 165, 126, 174, 110, 158)(106, 154, 119, 167, 129, 177, 114, 162)(112, 160, 123, 171, 137, 185, 127, 175)(115, 163, 124, 172, 138, 186, 130, 178)(118, 166, 125, 173, 141, 189, 133, 181)(120, 168, 131, 179, 143, 191, 135, 183)(128, 176, 140, 188, 132, 180, 139, 187)(134, 182, 144, 192, 136, 184, 142, 190)
	L = (1, 100)(2, 104)(3, 108)(4, 112)(5, 111)(6, 97)(7, 110)(8, 118)(9, 117)(10, 98)(11, 121)(12, 123)(13, 99)(14, 125)(15, 127)(16, 128)(17, 101)(18, 103)(19, 102)(20, 126)(21, 133)(22, 134)(23, 105)(24, 106)(25, 137)(26, 107)(27, 139)(28, 109)(29, 142)(30, 141)(31, 140)(32, 138)(33, 116)(34, 113)(35, 114)(36, 115)(37, 144)(38, 143)(39, 119)(40, 120)(41, 132)(42, 122)(43, 130)(44, 124)(45, 136)(46, 135)(47, 129)(48, 131)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 24, 48, 24, 48 ), ( 24, 48, 24, 48, 24, 48, 24, 48 ) }
Outer automorphisms :: reflexible
Dual of E28.812
Graph:: simple bipartite
	v = 36 e = 96 f = 6
	degree seq :: [ 4^24, 8^12 ]

E28.804 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12, 24})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, (Y3 * Y1^-1)^2, Y1^4, (R * Y2)^2, (Y3^-1, Y2^-1), (Y3^-1 * Y1^-1)^2, (R * Y3)^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y1)^2, Y2 * Y3 * Y2^2 * Y3, Y3^-1 * Y1^-1 * Y2 * Y3^-1 * Y1 * Y2^-1, Y2 * Y1^-1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1, Y1^-2 * Y3^-4, Y3 * Y1^-1 * Y2 * Y3^-1 * Y2 * Y1^-1 * Y2, Y1^-2 * Y3 * Y2^-1 * Y3 * Y2^-2, (Y3^-2 * Y2)^3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 25, 73, 9, 57)(4, 52, 17, 65, 26, 74, 12, 60)(6, 54, 21, 69, 27, 75, 11, 59)(7, 55, 20, 68, 28, 76, 10, 58)(14, 62, 29, 77, 43, 91, 37, 85)(15, 63, 31, 79, 47, 95, 39, 87)(16, 64, 30, 78, 44, 92, 38, 86)(18, 66, 36, 84, 24, 72, 32, 80)(19, 67, 35, 83, 40, 88, 42, 90)(22, 70, 34, 82, 41, 89, 46, 94)(23, 71, 33, 81, 48, 96, 45, 93)(97, 145, 99, 147, 110, 158, 120, 168, 137, 185, 123, 171, 104, 152, 121, 169, 139, 187, 114, 162, 118, 166, 102, 150)(98, 146, 105, 153, 125, 173, 132, 180, 142, 190, 117, 165, 101, 149, 109, 157, 133, 181, 128, 176, 130, 178, 107, 155)(100, 148, 111, 159, 119, 167, 103, 151, 112, 160, 136, 184, 122, 170, 143, 191, 144, 192, 124, 172, 140, 188, 115, 163)(106, 154, 126, 174, 131, 179, 108, 156, 127, 175, 141, 189, 116, 164, 134, 182, 138, 186, 113, 161, 135, 183, 129, 177)
	L = (1, 100)(2, 106)(3, 111)(4, 114)(5, 116)(6, 115)(7, 97)(8, 122)(9, 126)(10, 128)(11, 129)(12, 98)(13, 134)(14, 119)(15, 118)(16, 99)(17, 101)(18, 124)(19, 139)(20, 132)(21, 141)(22, 140)(23, 102)(24, 103)(25, 143)(26, 120)(27, 136)(28, 104)(29, 131)(30, 130)(31, 105)(32, 113)(33, 133)(34, 135)(35, 107)(36, 108)(37, 138)(38, 142)(39, 109)(40, 110)(41, 112)(42, 117)(43, 144)(44, 121)(45, 125)(46, 127)(47, 137)(48, 123)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 48, 4, 48, 4, 48, 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E28.810
Graph:: bipartite
	v = 16 e = 96 f = 26
	degree seq :: [ 8^12, 24^4 ]

E28.805 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12, 24})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, (Y1 * Y3)^2, (Y2^-1, Y3^-1), Y1^4, (Y3 * Y1^-1)^2, (R * Y1)^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y3)^2, (R * Y2)^2, Y3^-2 * Y2^3, Y3^-1 * Y1^-1 * Y3^3 * Y1, Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y3^-2 * Y2^-1, Y1^-1 * Y2 * Y3^-1 * Y1^-1 * Y3 * Y2^2, Y3^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 25, 73, 9, 57)(4, 52, 17, 65, 26, 74, 12, 60)(6, 54, 21, 69, 27, 75, 11, 59)(7, 55, 20, 68, 28, 76, 10, 58)(14, 62, 29, 77, 46, 94, 37, 85)(15, 63, 31, 79, 45, 93, 39, 87)(16, 64, 30, 78, 47, 95, 38, 86)(18, 66, 36, 84, 24, 72, 32, 80)(19, 67, 35, 83, 48, 96, 42, 90)(22, 70, 34, 82, 41, 89, 44, 92)(23, 71, 33, 81, 40, 88, 43, 91)(97, 145, 99, 147, 110, 158, 114, 162, 137, 185, 123, 171, 104, 152, 121, 169, 142, 190, 120, 168, 118, 166, 102, 150)(98, 146, 105, 153, 125, 173, 128, 176, 140, 188, 117, 165, 101, 149, 109, 157, 133, 181, 132, 180, 130, 178, 107, 155)(100, 148, 111, 159, 136, 184, 124, 172, 143, 191, 144, 192, 122, 170, 141, 189, 119, 167, 103, 151, 112, 160, 115, 163)(106, 154, 126, 174, 138, 186, 113, 161, 135, 183, 139, 187, 116, 164, 134, 182, 131, 179, 108, 156, 127, 175, 129, 177)
	L = (1, 100)(2, 106)(3, 111)(4, 114)(5, 116)(6, 115)(7, 97)(8, 122)(9, 126)(10, 128)(11, 129)(12, 98)(13, 134)(14, 136)(15, 137)(16, 99)(17, 101)(18, 124)(19, 110)(20, 132)(21, 139)(22, 112)(23, 102)(24, 103)(25, 141)(26, 120)(27, 144)(28, 104)(29, 138)(30, 140)(31, 105)(32, 113)(33, 125)(34, 127)(35, 107)(36, 108)(37, 131)(38, 130)(39, 109)(40, 123)(41, 143)(42, 117)(43, 133)(44, 135)(45, 118)(46, 119)(47, 121)(48, 142)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 48, 4, 48, 4, 48, 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E28.811
Graph:: bipartite
	v = 16 e = 96 f = 26
	degree seq :: [ 8^12, 24^4 ]

E28.806 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12, 24})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y1^4, (R * Y1)^2, (Y1^-1 * Y3)^2, (R * Y3)^2, Y3 * Y1^-1 * Y2 * Y3 * Y2^-1, R * Y2 * Y1 * R * Y2, Y2 * Y1^-1 * Y3 * Y1^2 * Y2^-1 * Y3, Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^2 * Y1 * Y3, Y2^-1 * Y1^-1 * Y2^-3 * Y1 * Y2^-2, Y2^12 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 5, 53)(3, 51, 11, 59, 20, 68, 8, 56)(4, 52, 14, 62, 21, 69, 9, 57)(6, 54, 17, 65, 22, 70, 10, 58)(12, 60, 23, 71, 37, 85, 27, 75)(13, 61, 24, 72, 31, 79, 15, 63)(16, 64, 18, 66, 25, 73, 32, 80)(19, 67, 26, 74, 38, 86, 34, 82)(28, 76, 42, 90, 36, 84, 39, 87)(29, 77, 43, 91, 40, 88, 30, 78)(33, 81, 46, 94, 41, 89, 35, 83)(44, 92, 47, 95, 48, 96, 45, 93)(97, 145, 99, 147, 108, 156, 124, 172, 134, 182, 118, 166, 103, 151, 116, 164, 133, 181, 132, 180, 115, 163, 102, 150)(98, 146, 104, 152, 119, 167, 135, 183, 130, 178, 113, 161, 101, 149, 107, 155, 123, 171, 138, 186, 122, 170, 106, 154)(100, 148, 111, 159, 125, 173, 141, 189, 137, 185, 121, 169, 117, 165, 120, 168, 136, 184, 143, 191, 129, 177, 112, 160)(105, 153, 109, 157, 126, 174, 140, 188, 142, 190, 128, 176, 110, 158, 127, 175, 139, 187, 144, 192, 131, 179, 114, 162)
	L = (1, 100)(2, 105)(3, 109)(4, 97)(5, 110)(6, 114)(7, 117)(8, 120)(9, 98)(10, 121)(11, 111)(12, 125)(13, 99)(14, 101)(15, 107)(16, 113)(17, 112)(18, 102)(19, 129)(20, 127)(21, 103)(22, 128)(23, 126)(24, 104)(25, 106)(26, 131)(27, 139)(28, 140)(29, 108)(30, 119)(31, 116)(32, 118)(33, 115)(34, 142)(35, 122)(36, 144)(37, 136)(38, 137)(39, 143)(40, 133)(41, 134)(42, 141)(43, 123)(44, 124)(45, 138)(46, 130)(47, 135)(48, 132)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 48, 4, 48, 4, 48, 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E28.808
Graph:: bipartite
	v = 16 e = 96 f = 26
	degree seq :: [ 8^12, 24^4 ]

E28.807 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12, 24})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y3^2, R^2, (Y1 * Y3)^2, (R * Y3)^2, Y2^-1 * Y1^-1 * Y2 * Y1^-1, (R * Y1)^2, Y1^4, Y2 * Y1^-1 * Y3 * Y2^-1 * Y3, R * Y1 * Y2 * R * Y2, Y2^2 * Y1^-1 * Y2^4 * Y1^-1, Y2^12 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 5, 53)(3, 51, 11, 59, 20, 68, 8, 56)(4, 52, 14, 62, 21, 69, 9, 57)(6, 54, 17, 65, 22, 70, 10, 58)(12, 60, 23, 71, 37, 85, 27, 75)(13, 61, 15, 63, 24, 72, 28, 76)(16, 64, 25, 73, 33, 81, 18, 66)(19, 67, 26, 74, 38, 86, 34, 82)(29, 77, 42, 90, 36, 84, 39, 87)(30, 78, 31, 79, 43, 91, 40, 88)(32, 80, 35, 83, 47, 95, 41, 89)(44, 92, 45, 93, 48, 96, 46, 94)(97, 145, 99, 147, 108, 156, 125, 173, 134, 182, 118, 166, 103, 151, 116, 164, 133, 181, 132, 180, 115, 163, 102, 150)(98, 146, 104, 152, 119, 167, 135, 183, 130, 178, 113, 161, 101, 149, 107, 155, 123, 171, 138, 186, 122, 170, 106, 154)(100, 148, 111, 159, 126, 174, 141, 189, 143, 191, 129, 177, 117, 165, 124, 172, 139, 187, 142, 190, 128, 176, 112, 160)(105, 153, 120, 168, 136, 184, 144, 192, 131, 179, 114, 162, 110, 158, 109, 157, 127, 175, 140, 188, 137, 185, 121, 169)
	L = (1, 100)(2, 105)(3, 109)(4, 97)(5, 110)(6, 114)(7, 117)(8, 111)(9, 98)(10, 112)(11, 124)(12, 126)(13, 99)(14, 101)(15, 104)(16, 106)(17, 129)(18, 102)(19, 128)(20, 120)(21, 103)(22, 121)(23, 136)(24, 116)(25, 118)(26, 137)(27, 127)(28, 107)(29, 140)(30, 108)(31, 123)(32, 115)(33, 113)(34, 131)(35, 130)(36, 144)(37, 139)(38, 143)(39, 141)(40, 119)(41, 122)(42, 142)(43, 133)(44, 125)(45, 135)(46, 138)(47, 134)(48, 132)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 48, 4, 48, 4, 48, 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E28.809
Graph:: bipartite
	v = 16 e = 96 f = 26
	degree seq :: [ 8^12, 24^4 ]

E28.808 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12, 24})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, Y3 * Y1^-1 * Y2 * Y1, (R * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y3 * Y2 * Y3 * Y1^-1, Y3 * R * Y1^-1 * Y2 * R * Y1^-1, Y1^-1 * Y3 * Y1 * Y3 * Y2 * Y3, (R * Y2 * Y3)^2, Y2 * Y3 * Y1 * Y2 * Y3 * Y2 * Y1^-1 * Y3, (Y1^-2 * R * Y2)^2, Y2 * Y1^-5 * Y2 * Y1^-1, Y2 * Y3 * Y2 * R * Y1 * Y2 * R * Y1, (Y2 * Y1^-1 * Y3 * Y1)^2, Y1^16 * Y2 * Y3 * Y1^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 6, 54, 16, 64, 34, 82, 23, 71, 9, 57, 19, 67, 37, 85, 47, 95, 45, 93, 24, 72, 41, 89, 27, 75, 44, 92, 48, 96, 46, 94, 29, 77, 12, 60, 22, 70, 40, 88, 33, 81, 15, 63, 5, 53)(3, 51, 8, 56, 21, 69, 43, 91, 30, 78, 13, 61, 4, 52, 11, 59, 26, 74, 35, 83, 31, 79, 14, 62, 28, 76, 38, 86, 17, 65, 36, 84, 32, 80, 42, 90, 20, 68, 7, 55, 18, 66, 39, 87, 25, 73, 10, 58)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 108, 156)(101, 149, 109, 157)(102, 150, 113, 161)(104, 152, 118, 166)(105, 153, 116, 164)(106, 154, 119, 167)(107, 155, 123, 171)(110, 158, 125, 173)(111, 159, 127, 175)(112, 160, 131, 179)(114, 162, 136, 184)(115, 163, 134, 182)(117, 165, 140, 188)(120, 168, 138, 186)(121, 169, 141, 189)(122, 170, 133, 181)(124, 172, 137, 185)(126, 174, 130, 178)(128, 176, 142, 190)(129, 177, 132, 180)(135, 183, 144, 192)(139, 187, 143, 191)
	L = (1, 100)(2, 104)(3, 105)(4, 97)(5, 110)(6, 114)(7, 115)(8, 98)(9, 99)(10, 120)(11, 118)(12, 124)(13, 119)(14, 101)(15, 128)(16, 132)(17, 133)(18, 102)(19, 103)(20, 137)(21, 136)(22, 107)(23, 109)(24, 106)(25, 142)(26, 140)(27, 134)(28, 108)(29, 138)(30, 141)(31, 130)(32, 111)(33, 135)(34, 127)(35, 143)(36, 112)(37, 113)(38, 123)(39, 129)(40, 117)(41, 116)(42, 125)(43, 144)(44, 122)(45, 126)(46, 121)(47, 131)(48, 139)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.806
Graph:: bipartite
	v = 26 e = 96 f = 16
	degree seq :: [ 4^24, 48^2 ]

E28.809 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12, 24})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y2 * Y1^-1 * Y3 * Y1, Y1 * Y2 * Y1^-1 * Y3, (R * Y1)^2, (R * Y3)^2, Y3 * Y1^-1 * Y3 * Y2 * Y1 * Y2, Y1^-1 * R * Y3 * Y1^-1 * R * Y2, (R * Y2 * Y3)^2, Y2 * Y3 * Y1^-1 * Y3 * Y2 * Y1, Y1^-1 * Y2 * Y1^-2 * Y3 * Y1^-3, (Y2 * Y1 * Y3 * Y1^-1)^2, Y2 * Y1^3 * Y3 * Y1^-3, (Y3 * Y2)^4, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-2 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 6, 54, 16, 64, 34, 82, 27, 75, 12, 60, 21, 69, 39, 87, 47, 95, 46, 94, 29, 77, 43, 91, 24, 72, 42, 90, 48, 96, 45, 93, 26, 74, 10, 58, 20, 68, 38, 86, 33, 81, 15, 63, 5, 53)(3, 51, 9, 57, 23, 71, 36, 84, 31, 79, 14, 62, 25, 73, 40, 88, 18, 66, 35, 83, 32, 80, 44, 92, 22, 70, 8, 56, 17, 65, 37, 85, 30, 78, 13, 61, 4, 52, 7, 55, 19, 67, 41, 89, 28, 76, 11, 59)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 108, 156)(101, 149, 110, 158)(102, 150, 113, 161)(104, 152, 117, 165)(105, 153, 116, 164)(106, 154, 121, 169)(107, 155, 123, 171)(109, 157, 125, 173)(111, 159, 128, 176)(112, 160, 131, 179)(114, 162, 135, 183)(115, 163, 134, 182)(118, 166, 139, 187)(119, 167, 138, 186)(120, 168, 136, 184)(122, 170, 140, 188)(124, 172, 142, 190)(126, 174, 141, 189)(127, 175, 130, 178)(129, 177, 133, 181)(132, 180, 143, 191)(137, 185, 144, 192)
	L = (1, 100)(2, 104)(3, 106)(4, 97)(5, 107)(6, 114)(7, 116)(8, 98)(9, 120)(10, 99)(11, 101)(12, 118)(13, 123)(14, 122)(15, 127)(16, 132)(17, 134)(18, 102)(19, 138)(20, 103)(21, 136)(22, 108)(23, 135)(24, 105)(25, 139)(26, 110)(27, 109)(28, 130)(29, 140)(30, 142)(31, 111)(32, 141)(33, 131)(34, 124)(35, 129)(36, 112)(37, 144)(38, 113)(39, 119)(40, 117)(41, 143)(42, 115)(43, 121)(44, 125)(45, 128)(46, 126)(47, 137)(48, 133)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.807
Graph:: bipartite
	v = 26 e = 96 f = 16
	degree seq :: [ 4^24, 48^2 ]

E28.810 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12, 24})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3, Y1), (R * Y1)^2, (R * Y3)^2, Y2 * Y1^-1 * Y3^-1 * Y2 * Y1^-2, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y3^-1 * Y1 * Y2 * Y1^-1, Y2 * Y3^-1 * Y2 * Y3^3, Y1^-2 * Y2 * Y3 * Y2 * Y1^-1, (Y3 * Y1^3)^2, Y1^9 * Y3^-1, Y1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 23, 71, 42, 90, 37, 85, 22, 70, 34, 82, 17, 65, 4, 52, 9, 57, 25, 73, 43, 91, 41, 89, 20, 68, 6, 54, 10, 58, 26, 74, 16, 64, 32, 80, 46, 94, 38, 86, 19, 67, 5, 53)(3, 51, 11, 59, 35, 83, 15, 63, 28, 76, 18, 66, 39, 87, 48, 96, 36, 84, 12, 60, 30, 78, 47, 95, 40, 88, 44, 92, 24, 72, 14, 62, 33, 81, 45, 93, 29, 77, 8, 56, 27, 75, 21, 69, 31, 79, 13, 61)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 111, 159)(101, 149, 114, 162)(102, 150, 117, 165)(103, 151, 120, 168)(105, 153, 127, 175)(106, 154, 129, 177)(107, 155, 128, 176)(108, 156, 119, 167)(109, 157, 133, 181)(110, 158, 134, 182)(112, 160, 135, 183)(113, 161, 132, 180)(115, 163, 126, 174)(116, 164, 131, 179)(118, 166, 125, 173)(121, 169, 141, 189)(122, 170, 143, 191)(123, 171, 142, 190)(124, 172, 138, 186)(130, 178, 140, 188)(136, 184, 139, 187)(137, 185, 144, 192)
	L = (1, 100)(2, 105)(3, 108)(4, 112)(5, 113)(6, 97)(7, 121)(8, 124)(9, 128)(10, 98)(11, 126)(12, 125)(13, 132)(14, 99)(15, 136)(16, 119)(17, 122)(18, 120)(19, 130)(20, 101)(21, 135)(22, 102)(23, 139)(24, 109)(25, 142)(26, 103)(27, 114)(28, 140)(29, 111)(30, 104)(31, 144)(32, 138)(33, 107)(34, 106)(35, 143)(36, 141)(37, 116)(38, 118)(39, 110)(40, 117)(41, 115)(42, 137)(43, 134)(44, 127)(45, 131)(46, 133)(47, 123)(48, 129)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.804
Graph:: bipartite
	v = 26 e = 96 f = 16
	degree seq :: [ 4^24, 48^2 ]

E28.811 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12, 24})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3^-1, Y1^-1), Y3 * Y1^3, (R * Y1)^2, (R * Y3)^2, Y3 * Y2 * Y1 * Y3^-1 * Y2 * Y1^-1, Y3 * Y2 * Y3^-3 * Y2, Y3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2 * Y3^2 * Y1 * Y2 * Y1^-1, Y1^-1 * Y2 * Y1 * Y2 * Y3^-2, Y2 * Y1 * Y3^-1 * Y2 * Y3 * Y1^-1, (Y3^2 * Y2)^2, (Y2 * Y3^-1)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 6, 54, 10, 58, 22, 70, 20, 68, 30, 78, 41, 89, 33, 81, 43, 91, 47, 95, 46, 94, 48, 96, 45, 93, 32, 80, 42, 90, 36, 84, 16, 64, 28, 76, 17, 65, 4, 52, 9, 57, 5, 53)(3, 51, 11, 59, 31, 79, 14, 62, 29, 77, 18, 66, 34, 82, 44, 92, 37, 85, 19, 67, 27, 75, 38, 86, 35, 83, 39, 87, 21, 69, 15, 63, 24, 72, 40, 88, 25, 73, 8, 56, 23, 71, 12, 60, 26, 74, 13, 61)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 111, 159)(101, 149, 114, 162)(102, 150, 115, 163)(103, 151, 117, 165)(105, 153, 123, 171)(106, 154, 125, 173)(107, 155, 124, 172)(108, 156, 128, 176)(109, 157, 118, 166)(110, 158, 129, 177)(112, 160, 130, 178)(113, 161, 119, 167)(116, 164, 121, 169)(120, 168, 138, 186)(122, 170, 139, 187)(126, 174, 135, 183)(127, 175, 141, 189)(131, 179, 142, 190)(132, 180, 134, 182)(133, 181, 137, 185)(136, 184, 143, 191)(140, 188, 144, 192)
	L = (1, 100)(2, 105)(3, 108)(4, 112)(5, 113)(6, 97)(7, 101)(8, 120)(9, 124)(10, 98)(11, 122)(12, 121)(13, 119)(14, 99)(15, 131)(16, 128)(17, 132)(18, 127)(19, 130)(20, 102)(21, 134)(22, 103)(23, 136)(24, 135)(25, 111)(26, 104)(27, 140)(28, 138)(29, 107)(30, 106)(31, 109)(32, 142)(33, 116)(34, 110)(35, 115)(36, 141)(37, 114)(38, 133)(39, 123)(40, 117)(41, 118)(42, 144)(43, 126)(44, 125)(45, 143)(46, 129)(47, 137)(48, 139)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.805
Graph:: bipartite
	v = 26 e = 96 f = 16
	degree seq :: [ 4^24, 48^2 ]

E28.812 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12, 24})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y1^-2, Y2 * Y3^-1 * Y2^-1 * Y1^-1, (Y2 * Y1)^2, Y2^-1 * Y1^-1 * Y3 * Y2^-1, (Y3 * Y2^-1)^2, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3 * Y1^-3 * Y3, Y1^-1 * Y2^4 * Y1^-1, (Y3 * Y1)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 25, 73, 43, 91, 39, 87, 45, 93, 41, 89, 47, 95, 37, 85, 19, 67, 5, 53)(3, 51, 13, 61, 26, 74, 11, 59, 33, 81, 18, 66, 42, 90, 22, 70, 40, 88, 24, 72, 38, 86, 16, 64)(4, 52, 17, 65, 7, 55, 23, 71, 28, 76, 14, 62, 32, 80, 10, 58, 30, 78, 12, 60, 35, 83, 20, 68)(6, 54, 21, 69, 27, 75, 44, 92, 31, 79, 48, 96, 34, 82, 46, 94, 36, 84, 15, 63, 29, 77, 9, 57)(97, 145, 99, 147, 110, 158, 123, 171, 104, 152, 122, 170, 106, 154, 127, 175, 139, 187, 129, 177, 108, 156, 130, 178, 141, 189, 138, 186, 116, 164, 132, 180, 143, 191, 136, 184, 113, 161, 125, 173, 115, 163, 134, 182, 119, 167, 102, 150)(98, 146, 105, 153, 100, 148, 114, 162, 121, 169, 117, 165, 103, 151, 118, 166, 135, 183, 140, 188, 124, 172, 120, 168, 137, 185, 144, 192, 128, 176, 112, 160, 133, 181, 142, 190, 126, 174, 109, 157, 101, 149, 111, 159, 131, 179, 107, 155)
	L = (1, 100)(2, 106)(3, 111)(4, 115)(5, 110)(6, 118)(7, 97)(8, 103)(9, 99)(10, 101)(11, 130)(12, 98)(13, 127)(14, 133)(15, 134)(16, 123)(17, 135)(18, 132)(19, 131)(20, 121)(21, 122)(22, 125)(23, 137)(24, 102)(25, 108)(26, 105)(27, 120)(28, 104)(29, 114)(30, 141)(31, 112)(32, 139)(33, 117)(34, 109)(35, 143)(36, 107)(37, 119)(38, 142)(39, 116)(40, 144)(41, 113)(42, 140)(43, 124)(44, 129)(45, 128)(46, 136)(47, 126)(48, 138)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.803
Graph:: bipartite
	v = 6 e = 96 f = 36
	degree seq :: [ 24^4, 48^2 ]

E28.813 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12, 24})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y1^-2, (Y1^-1 * Y2^-1)^2, (Y2 * Y3^-1)^2, (R * Y1)^2, (R * Y3)^2, Y2^-2 * Y3 * Y1^-1, Y3^-1 * Y2 * Y1^-1 * Y2^-1, Y1^-2 * Y3^-2, (R * Y2 * Y3^-1)^2, Y3 * Y1^-3 * Y3 * Y1^-1, Y1^-1 * R * Y2 * R * Y2^-1 * Y1^-1, Y3^-1 * Y2^-3 * Y1 * Y2^-1, Y3^-1 * Y2 * Y1 * R * Y2^-1 * R, Y2 * Y1^-2 * Y2 * Y3 * Y1^-1, Y3 * Y2 * Y3^-1 * Y1 * Y2^-1 * Y1^-1, Y3^-1 * Y1^-1 * Y3^2 * Y1^-1 * Y3^-1 * Y1^2, (Y3 * Y1)^4, Y1 * Y2^14 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 25, 73, 43, 91, 37, 85, 45, 93, 42, 90, 48, 96, 39, 87, 19, 67, 5, 53)(3, 51, 13, 61, 26, 74, 11, 59, 34, 82, 44, 92, 30, 78, 46, 94, 32, 80, 47, 95, 36, 84, 16, 64)(4, 52, 18, 66, 7, 55, 23, 71, 28, 76, 21, 69, 29, 77, 10, 58, 33, 81, 12, 60, 35, 83, 14, 62)(6, 54, 22, 70, 27, 75, 15, 63, 38, 86, 17, 65, 41, 89, 24, 72, 40, 88, 20, 68, 31, 79, 9, 57)(97, 145, 99, 147, 110, 158, 123, 171, 104, 152, 122, 170, 114, 162, 134, 182, 139, 187, 130, 178, 119, 167, 137, 185, 141, 189, 126, 174, 117, 165, 136, 184, 144, 192, 128, 176, 106, 154, 127, 175, 115, 163, 132, 180, 108, 156, 102, 150)(98, 146, 105, 153, 125, 173, 140, 188, 121, 169, 118, 166, 129, 177, 142, 190, 133, 181, 111, 159, 131, 179, 143, 191, 138, 186, 113, 161, 100, 148, 112, 160, 135, 183, 120, 168, 103, 151, 109, 157, 101, 149, 116, 164, 124, 172, 107, 155)
	L = (1, 100)(2, 106)(3, 111)(4, 115)(5, 117)(6, 109)(7, 97)(8, 103)(9, 126)(10, 101)(11, 102)(12, 98)(13, 127)(14, 121)(15, 132)(16, 136)(17, 99)(18, 133)(19, 131)(20, 130)(21, 135)(22, 128)(23, 138)(24, 122)(25, 108)(26, 113)(27, 107)(28, 104)(29, 139)(30, 116)(31, 112)(32, 105)(33, 141)(34, 120)(35, 144)(36, 118)(37, 110)(38, 140)(39, 119)(40, 143)(41, 142)(42, 114)(43, 124)(44, 123)(45, 125)(46, 134)(47, 137)(48, 129)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.802
Graph:: bipartite
	v = 6 e = 96 f = 36
	degree seq :: [ 24^4, 48^2 ]

E28.814 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12, 24})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-1 * Y3^2 * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y1 * Y3 * Y1 * Y2 * Y3, Y1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1, Y3^-2 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1, Y2 * Y1 * Y3 * Y2^-1 * Y3^-1 * Y1, Y1 * Y2^-2 * Y1 * Y2^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2 * Y1 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 15, 63)(5, 53, 18, 66)(6, 54, 21, 69)(7, 55, 23, 71)(8, 56, 22, 70)(9, 57, 28, 76)(10, 58, 13, 61)(12, 60, 24, 72)(14, 62, 37, 85)(16, 64, 40, 88)(17, 65, 42, 90)(19, 67, 29, 77)(20, 68, 44, 92)(25, 73, 35, 83)(26, 74, 38, 86)(27, 75, 34, 82)(30, 78, 36, 84)(31, 79, 45, 93)(32, 80, 46, 94)(33, 81, 47, 95)(39, 87, 41, 89)(43, 91, 48, 96)(97, 145, 99, 147, 108, 156, 129, 177, 144, 192, 124, 172, 142, 190, 119, 167, 141, 189, 137, 185, 115, 163, 101, 149)(98, 146, 103, 151, 120, 168, 135, 183, 139, 187, 114, 162, 128, 176, 107, 155, 127, 175, 143, 191, 125, 173, 105, 153)(100, 148, 112, 160, 130, 178, 116, 164, 134, 182, 110, 158, 132, 180, 109, 157, 131, 179, 118, 166, 102, 150, 113, 161)(104, 152, 122, 170, 138, 186, 126, 174, 136, 184, 121, 169, 140, 188, 117, 165, 133, 181, 111, 159, 106, 154, 123, 171)
	L = (1, 100)(2, 104)(3, 109)(4, 108)(5, 110)(6, 97)(7, 117)(8, 120)(9, 121)(10, 98)(11, 122)(12, 130)(13, 129)(14, 99)(15, 114)(16, 137)(17, 119)(18, 123)(19, 102)(20, 101)(21, 135)(22, 124)(23, 112)(24, 138)(25, 103)(26, 143)(27, 107)(28, 113)(29, 106)(30, 105)(31, 133)(32, 140)(33, 118)(34, 144)(35, 115)(36, 141)(37, 125)(38, 142)(39, 111)(40, 128)(41, 116)(42, 139)(43, 136)(44, 127)(45, 131)(46, 132)(47, 126)(48, 134)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 48, 8, 48 ), ( 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48 ) }
Outer automorphisms :: reflexible
Dual of E28.817
Graph:: simple bipartite
	v = 28 e = 96 f = 14
	degree seq :: [ 4^24, 24^4 ]

E28.815 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12, 24})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y2^-2 * Y3, (R * Y1)^2, (R * Y3)^2, Y1 * Y3 * Y2 * Y1 * Y3, Y1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1, Y3^-1 * Y2^-1 * Y3^-3 * Y2^-1, Y2 * Y3 * Y1 * Y2^-1 * Y1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y1 * Y2^-1 * Y3 * Y1 * Y3^-1 * Y2^-2, Y2^-1 * Y3 * Y2^5 * Y3, (Y2^-1, Y3)^2, Y2 * Y3^-1 * Y2 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 15, 63)(5, 53, 18, 66)(6, 54, 21, 69)(7, 55, 23, 71)(8, 56, 20, 68)(9, 57, 28, 76)(10, 58, 16, 64)(12, 60, 24, 72)(13, 61, 35, 83)(14, 62, 38, 86)(17, 65, 42, 90)(19, 67, 29, 77)(22, 70, 44, 92)(25, 73, 39, 87)(26, 74, 34, 82)(27, 75, 36, 84)(30, 78, 37, 85)(31, 79, 45, 93)(32, 80, 46, 94)(33, 81, 40, 88)(41, 89, 47, 95)(43, 91, 48, 96)(97, 145, 99, 147, 108, 156, 129, 177, 144, 192, 124, 172, 142, 190, 119, 167, 141, 189, 137, 185, 115, 163, 101, 149)(98, 146, 103, 151, 120, 168, 143, 191, 139, 187, 114, 162, 128, 176, 107, 155, 127, 175, 136, 184, 125, 173, 105, 153)(100, 148, 112, 160, 130, 178, 116, 164, 135, 183, 110, 158, 133, 181, 109, 157, 132, 180, 118, 166, 102, 150, 113, 161)(104, 152, 117, 165, 134, 182, 111, 159, 131, 179, 122, 170, 140, 188, 121, 169, 138, 186, 126, 174, 106, 154, 123, 171)
	L = (1, 100)(2, 104)(3, 109)(4, 108)(5, 110)(6, 97)(7, 121)(8, 120)(9, 122)(10, 98)(11, 117)(12, 130)(13, 129)(14, 99)(15, 105)(16, 137)(17, 119)(18, 123)(19, 102)(20, 101)(21, 136)(22, 124)(23, 112)(24, 134)(25, 143)(26, 103)(27, 107)(28, 113)(29, 106)(30, 114)(31, 138)(32, 140)(33, 118)(34, 144)(35, 128)(36, 115)(37, 141)(38, 139)(39, 142)(40, 111)(41, 116)(42, 125)(43, 131)(44, 127)(45, 132)(46, 133)(47, 126)(48, 135)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 48, 8, 48 ), ( 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48 ) }
Outer automorphisms :: reflexible
Dual of E28.816
Graph:: simple bipartite
	v = 28 e = 96 f = 14
	degree seq :: [ 4^24, 24^4 ]

E28.816 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12, 24})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y2), (R * Y1)^2, (Y3 * Y1^-1)^2, Y1^4, Y3 * Y2^-3, (R * Y3)^2, (Y2 * R)^2, (Y1 * Y3)^2, Y3 * Y2^-1 * Y3 * Y1 * Y2 * Y1^-1, Y2 * Y1 * Y3 * Y2^2 * Y1^-1, Y3 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y1^-1 * Y2^-2 * Y1^-1 * Y3 * Y2^-1, Y1^-1 * Y2 * Y1^-2 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 27, 75, 16, 64)(4, 52, 18, 66, 28, 76, 12, 60)(6, 54, 23, 71, 29, 77, 24, 72)(7, 55, 21, 69, 30, 78, 10, 58)(9, 57, 31, 79, 20, 68, 34, 82)(11, 59, 37, 85, 22, 70, 38, 86)(14, 62, 42, 90, 45, 93, 32, 80)(15, 63, 33, 81, 46, 94, 41, 89)(17, 65, 44, 92, 47, 95, 35, 83)(19, 67, 40, 88, 26, 74, 36, 84)(25, 73, 39, 87, 48, 96, 43, 91)(97, 145, 99, 147, 110, 158, 100, 148, 111, 159, 134, 182, 115, 163, 127, 175, 144, 192, 126, 174, 143, 191, 125, 173, 104, 152, 123, 171, 141, 189, 124, 172, 142, 190, 133, 181, 122, 170, 130, 178, 121, 169, 103, 151, 113, 161, 102, 150)(98, 146, 105, 153, 128, 176, 106, 154, 129, 177, 119, 167, 132, 180, 112, 160, 139, 187, 114, 162, 140, 188, 118, 166, 101, 149, 116, 164, 138, 186, 117, 165, 137, 185, 120, 168, 136, 184, 109, 157, 135, 183, 108, 156, 131, 179, 107, 155)
	L = (1, 100)(2, 106)(3, 111)(4, 115)(5, 117)(6, 110)(7, 97)(8, 124)(9, 129)(10, 132)(11, 128)(12, 98)(13, 131)(14, 134)(15, 127)(16, 140)(17, 99)(18, 101)(19, 126)(20, 137)(21, 136)(22, 138)(23, 139)(24, 135)(25, 102)(26, 103)(27, 142)(28, 122)(29, 141)(30, 104)(31, 143)(32, 119)(33, 112)(34, 113)(35, 105)(36, 114)(37, 121)(38, 144)(39, 107)(40, 108)(41, 109)(42, 120)(43, 118)(44, 116)(45, 133)(46, 130)(47, 123)(48, 125)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24, 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.815
Graph:: bipartite
	v = 14 e = 96 f = 28
	degree seq :: [ 8^12, 48^2 ]

E28.817 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12, 24})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, (Y1^-1 * Y3^-1)^2, (Y3 * Y1^-1)^2, (Y2, Y3), Y1^4, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2^-1 * Y3 * Y1 * Y2^-2 * Y1^-1, Y3^-1 * Y2^3 * Y1^-2, Y2^-2 * Y1^-1 * Y2^2 * Y1^-1, Y2^2 * Y1 * Y3^-1 * Y2 * Y1^-1, Y2 * Y3^-1 * Y1^-1 * Y3 * Y2^-1 * Y1^-1, Y3 * Y2^-1 * Y3 * Y1 * Y2 * Y1^-1, Y2 * Y1^-2 * Y2^-1 * Y1^-2, Y2^-2 * Y3 * Y2^-1 * Y1^-2, Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1, Y2 * Y3^2 * Y1 * Y2^-1 * Y1, Y3^8, (Y2 * Y1^2 * Y3)^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 29, 77, 16, 64)(4, 52, 18, 66, 30, 78, 12, 60)(6, 54, 24, 72, 31, 79, 25, 73)(7, 55, 22, 70, 32, 80, 10, 58)(9, 57, 33, 81, 21, 69, 36, 84)(11, 59, 40, 88, 23, 71, 41, 89)(14, 62, 39, 87, 20, 68, 34, 82)(15, 63, 35, 83, 47, 95, 46, 94)(17, 65, 42, 90, 26, 74, 37, 85)(19, 67, 44, 92, 28, 76, 38, 86)(27, 75, 43, 91, 48, 96, 45, 93)(97, 145, 99, 147, 110, 158, 126, 174, 143, 191, 137, 185, 115, 163, 129, 177, 123, 171, 103, 151, 113, 161, 127, 175, 104, 152, 125, 173, 116, 164, 100, 148, 111, 159, 136, 184, 124, 172, 132, 180, 144, 192, 128, 176, 122, 170, 102, 150)(98, 146, 105, 153, 130, 178, 118, 166, 142, 190, 120, 168, 134, 182, 112, 160, 139, 187, 108, 156, 133, 181, 119, 167, 101, 149, 117, 165, 135, 183, 106, 154, 131, 179, 121, 169, 140, 188, 109, 157, 141, 189, 114, 162, 138, 186, 107, 155)
	L = (1, 100)(2, 106)(3, 111)(4, 115)(5, 118)(6, 116)(7, 97)(8, 126)(9, 131)(10, 134)(11, 135)(12, 98)(13, 133)(14, 136)(15, 129)(16, 138)(17, 99)(18, 101)(19, 128)(20, 137)(21, 142)(22, 140)(23, 130)(24, 141)(25, 139)(26, 125)(27, 102)(28, 103)(29, 143)(30, 124)(31, 110)(32, 104)(33, 122)(34, 121)(35, 112)(36, 113)(37, 105)(38, 114)(39, 120)(40, 123)(41, 144)(42, 117)(43, 107)(44, 108)(45, 119)(46, 109)(47, 132)(48, 127)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24, 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.814
Graph:: bipartite
	v = 14 e = 96 f = 28
	degree seq :: [ 8^12, 48^2 ]

E28.818 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12, 24})
Quotient :: dipole
Aut^+ = C3 x Q16 (small group id <48, 27>)
Aut   = (C8 x S3) : C2 (small group id <96, 126>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y1 * Y2^-2, Y3^-1 * Y1 * Y3 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y2^-1 * Y3^2 * Y2^-1, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^4, Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y3^-2 * Y2 * Y3^-1 * Y2 * Y3^-3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 5, 53)(4, 52, 7, 55)(6, 54, 8, 56)(9, 57, 14, 62)(10, 58, 15, 63)(11, 59, 13, 61)(12, 60, 19, 67)(16, 64, 17, 65)(18, 66, 20, 68)(21, 69, 23, 71)(22, 70, 29, 77)(24, 72, 25, 73)(26, 74, 33, 81)(27, 75, 31, 79)(28, 76, 32, 80)(30, 78, 37, 85)(34, 82, 35, 83)(36, 84, 38, 86)(39, 87, 42, 90)(40, 88, 43, 91)(41, 89, 48, 96)(44, 92, 45, 93)(46, 94, 47, 95)(97, 145, 99, 147, 98, 146, 101, 149)(100, 148, 107, 155, 103, 151, 109, 157)(102, 150, 112, 160, 104, 152, 113, 161)(105, 153, 117, 165, 110, 158, 119, 167)(106, 154, 120, 168, 111, 159, 121, 169)(108, 156, 125, 173, 115, 163, 118, 166)(114, 162, 129, 177, 116, 164, 122, 170)(123, 171, 135, 183, 127, 175, 138, 186)(124, 172, 139, 187, 128, 176, 136, 184)(126, 174, 142, 190, 133, 181, 143, 191)(130, 178, 140, 188, 131, 179, 141, 189)(132, 180, 137, 185, 134, 182, 144, 192)
	L = (1, 100)(2, 103)(3, 105)(4, 108)(5, 110)(6, 97)(7, 115)(8, 98)(9, 118)(10, 99)(11, 123)(12, 126)(13, 127)(14, 125)(15, 101)(16, 128)(17, 124)(18, 102)(19, 133)(20, 104)(21, 135)(22, 137)(23, 138)(24, 139)(25, 136)(26, 106)(27, 143)(28, 107)(29, 144)(30, 140)(31, 142)(32, 109)(33, 111)(34, 112)(35, 113)(36, 114)(37, 141)(38, 116)(39, 132)(40, 117)(41, 131)(42, 134)(43, 119)(44, 120)(45, 121)(46, 122)(47, 129)(48, 130)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 24, 48, 24, 48 ), ( 24, 48, 24, 48, 24, 48, 24, 48 ) }
Outer automorphisms :: reflexible
Dual of E28.821
Graph:: bipartite
	v = 36 e = 96 f = 6
	degree seq :: [ 4^24, 8^12 ]

E28.819 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12, 24})
Quotient :: dipole
Aut^+ = C3 x Q16 (small group id <48, 27>)
Aut   = (C8 x S3) : C2 (small group id <96, 126>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-1, Y1^2 * Y3 * Y1, (R * Y3)^2, (R * Y1)^2, Y1 * Y2^-1 * Y1^-2 * Y2 * Y1, Y1^-1 * Y2^-1 * Y3 * Y1 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3 * Y2^2 * Y1^-1 * Y2^-1, (Y2^-1 * R * Y2^-1)^2, Y2 * Y3 * Y2^-2 * Y1^-1 * Y2, Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y2^-1 * R * Y2^-1 * Y3 * Y2 * R * Y2 * Y1^-1, Y3 * Y2^6 * Y1, Y2 * R * Y2^-1 * Y1 * Y2 * R * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^24 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 6, 54, 4, 52)(3, 51, 9, 57, 17, 65, 11, 59)(5, 53, 14, 62, 18, 66, 15, 63)(7, 55, 19, 67, 12, 60, 21, 69)(8, 56, 22, 70, 13, 61, 23, 71)(10, 58, 20, 68, 35, 83, 28, 76)(16, 64, 24, 72, 36, 84, 31, 79)(25, 73, 40, 88, 29, 77, 37, 85)(26, 74, 41, 89, 30, 78, 38, 86)(27, 75, 45, 93, 34, 82, 46, 94)(32, 80, 43, 91, 33, 81, 42, 90)(39, 87, 47, 95, 44, 92, 48, 96)(97, 145, 99, 147, 106, 154, 123, 171, 132, 180, 114, 162, 102, 150, 113, 161, 131, 179, 130, 178, 112, 160, 101, 149)(98, 146, 103, 151, 116, 164, 135, 183, 127, 175, 109, 157, 100, 148, 108, 156, 124, 172, 140, 188, 120, 168, 104, 152)(105, 153, 121, 169, 141, 189, 129, 177, 111, 159, 126, 174, 107, 155, 125, 173, 142, 190, 128, 176, 110, 158, 122, 170)(115, 163, 133, 181, 143, 191, 139, 187, 119, 167, 137, 185, 117, 165, 136, 184, 144, 192, 138, 186, 118, 166, 134, 182)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 100)(7, 115)(8, 118)(9, 113)(10, 116)(11, 99)(12, 117)(13, 119)(14, 114)(15, 101)(16, 120)(17, 107)(18, 111)(19, 108)(20, 131)(21, 103)(22, 109)(23, 104)(24, 132)(25, 136)(26, 137)(27, 141)(28, 106)(29, 133)(30, 134)(31, 112)(32, 139)(33, 138)(34, 142)(35, 124)(36, 127)(37, 121)(38, 122)(39, 143)(40, 125)(41, 126)(42, 128)(43, 129)(44, 144)(45, 130)(46, 123)(47, 140)(48, 135)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 48, 4, 48, 4, 48, 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E28.820
Graph:: bipartite
	v = 16 e = 96 f = 26
	degree seq :: [ 8^12, 24^4 ]

E28.820 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12, 24})
Quotient :: dipole
Aut^+ = C3 x Q16 (small group id <48, 27>)
Aut   = (C8 x S3) : C2 (small group id <96, 126>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y2 * Y3^-2, Y1^-1 * Y2 * Y1 * Y2, (Y3 * R)^2, (R * Y2)^2, (R * Y1)^2, Y3 * Y1^2 * Y3 * Y1^-2, (Y1, Y3^-1, Y1^-1), Y1^-2 * Y3 * Y1^-3 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 19, 67, 37, 85, 30, 78, 45, 93, 29, 77, 44, 92, 47, 95, 27, 75, 11, 59, 3, 51, 8, 56, 20, 68, 38, 86, 48, 96, 32, 80, 46, 94, 28, 76, 43, 91, 35, 83, 15, 63, 5, 53)(4, 52, 12, 60, 22, 70, 42, 90, 36, 84, 16, 64, 24, 72, 9, 57, 23, 71, 40, 88, 34, 82, 18, 66, 6, 54, 17, 65, 21, 69, 41, 89, 33, 81, 14, 62, 26, 74, 10, 58, 25, 73, 39, 87, 31, 79, 13, 61)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 102, 150)(101, 149, 107, 155)(103, 151, 116, 164)(105, 153, 106, 154)(108, 156, 113, 161)(109, 157, 114, 162)(110, 158, 112, 160)(111, 159, 123, 171)(115, 163, 134, 182)(117, 165, 118, 166)(119, 167, 121, 169)(120, 168, 122, 170)(124, 172, 125, 173)(126, 174, 128, 176)(127, 175, 130, 178)(129, 177, 132, 180)(131, 179, 143, 191)(133, 181, 144, 192)(135, 183, 136, 184)(137, 185, 138, 186)(139, 187, 140, 188)(141, 189, 142, 190)
	L = (1, 100)(2, 105)(3, 102)(4, 99)(5, 110)(6, 97)(7, 117)(8, 106)(9, 104)(10, 98)(11, 112)(12, 124)(13, 126)(14, 107)(15, 130)(16, 101)(17, 125)(18, 128)(19, 135)(20, 118)(21, 116)(22, 103)(23, 139)(24, 141)(25, 140)(26, 142)(27, 127)(28, 113)(29, 108)(30, 114)(31, 111)(32, 109)(33, 133)(34, 123)(35, 138)(36, 144)(37, 132)(38, 136)(39, 134)(40, 115)(41, 131)(42, 143)(43, 121)(44, 119)(45, 122)(46, 120)(47, 137)(48, 129)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.819
Graph:: bipartite
	v = 26 e = 96 f = 16
	degree seq :: [ 4^24, 48^2 ]

E28.821 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12, 24})
Quotient :: dipole
Aut^+ = C3 x Q16 (small group id <48, 27>)
Aut   = (C8 x S3) : C2 (small group id <96, 126>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y2^2, Y3 * Y1 * Y2 * Y1, (R * Y3)^2, (R * Y1)^2, (Y2 * Y3^-1)^2, (R * Y2)^2, Y2 * Y1^-1 * Y2^-3 * Y1^-1, Y2^-2 * Y1 * Y3^-1 * Y2^-1 * Y1, Y1^-1 * Y3^-1 * Y1 * Y2^-1 * Y1^-2, Y3 * Y1^-1 * Y2^-1 * Y3 * Y1 * Y2^-1, Y2^-2 * Y3^-1 * Y1^-1 * Y3 * Y1^-1, Y3^2 * Y2^2 * Y1^-2, Y1^-2 * Y2 * Y1^-1 * Y2 * Y1^-1, Y3^-1 * Y2 * Y1^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 27, 75, 45, 93, 41, 89, 17, 65, 35, 83, 48, 96, 44, 92, 22, 70, 5, 53)(3, 51, 13, 61, 28, 76, 12, 60, 40, 88, 19, 67, 4, 52, 18, 66, 29, 77, 11, 59, 37, 85, 16, 64)(6, 54, 23, 71, 30, 78, 20, 68, 34, 82, 9, 57, 7, 55, 26, 74, 31, 79, 21, 69, 36, 84, 10, 58)(14, 62, 33, 81, 46, 94, 43, 91, 25, 73, 38, 86, 15, 63, 32, 80, 47, 95, 42, 90, 24, 72, 39, 87)(97, 145, 99, 147, 110, 158, 126, 174, 104, 152, 124, 172, 142, 190, 130, 178, 141, 189, 136, 184, 121, 169, 103, 151, 113, 161, 100, 148, 111, 159, 127, 175, 144, 192, 125, 173, 143, 191, 132, 180, 118, 166, 133, 181, 120, 168, 102, 150)(98, 146, 105, 153, 128, 176, 112, 160, 123, 171, 122, 170, 138, 186, 109, 157, 137, 185, 117, 165, 135, 183, 108, 156, 131, 179, 106, 154, 129, 177, 115, 163, 140, 188, 119, 167, 139, 187, 114, 162, 101, 149, 116, 164, 134, 182, 107, 155)
	L = (1, 100)(2, 106)(3, 111)(4, 110)(5, 117)(6, 113)(7, 97)(8, 125)(9, 129)(10, 128)(11, 131)(12, 98)(13, 101)(14, 127)(15, 126)(16, 140)(17, 99)(18, 137)(19, 123)(20, 135)(21, 134)(22, 136)(23, 138)(24, 103)(25, 102)(26, 139)(27, 119)(28, 143)(29, 142)(30, 144)(31, 104)(32, 115)(33, 112)(34, 118)(35, 105)(36, 141)(37, 121)(38, 108)(39, 107)(40, 120)(41, 116)(42, 114)(43, 109)(44, 122)(45, 133)(46, 132)(47, 130)(48, 124)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.818
Graph:: bipartite
	v = 6 e = 96 f = 36
	degree seq :: [ 24^4, 48^2 ]

E28.822 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12, 24})
Quotient :: dipole
Aut^+ = C3 x Q16 (small group id <48, 27>)
Aut   = (C8 x S3) : C2 (small group id <96, 126>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y2 * Y1, Y3 * Y1 * Y3^-1 * Y1, Y1 * Y2 * Y3^-1 * Y2 * Y3^-1, Y3^-1 * Y2^-1 * Y3^3 * Y2^-1, Y3^-1 * Y2^-3 * Y3^-1 * Y2^-1, Y2 * Y3^4 * Y2, (R * Y2 * Y3^-1)^2, Y2^2 * Y3^-1 * Y2^-2 * Y3, Y3^-1 * Y2 * Y3^-1 * Y2^7 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 8, 56)(5, 53, 9, 57)(6, 54, 10, 58)(11, 59, 23, 71)(12, 60, 24, 72)(13, 61, 16, 64)(14, 62, 25, 73)(15, 63, 26, 74)(17, 65, 20, 68)(18, 66, 27, 75)(19, 67, 28, 76)(21, 69, 29, 77)(22, 70, 30, 78)(31, 79, 39, 87)(32, 80, 45, 93)(33, 81, 36, 84)(34, 82, 46, 94)(35, 83, 41, 89)(37, 85, 43, 91)(38, 86, 44, 92)(40, 88, 42, 90)(47, 95, 48, 96)(97, 145, 99, 147, 107, 155, 127, 175, 123, 171, 105, 153, 98, 146, 103, 151, 119, 167, 135, 183, 114, 162, 101, 149)(100, 148, 110, 158, 128, 176, 115, 163, 133, 181, 109, 157, 104, 152, 121, 169, 141, 189, 124, 172, 139, 187, 112, 160)(102, 150, 116, 164, 129, 177, 120, 168, 142, 190, 125, 173, 106, 154, 113, 161, 132, 180, 108, 156, 130, 178, 117, 165)(111, 159, 137, 185, 118, 166, 140, 188, 143, 191, 136, 184, 122, 170, 131, 179, 126, 174, 134, 182, 144, 192, 138, 186)
	L = (1, 100)(2, 104)(3, 108)(4, 111)(5, 113)(6, 97)(7, 120)(8, 122)(9, 116)(10, 98)(11, 128)(12, 131)(13, 99)(14, 135)(15, 130)(16, 103)(17, 136)(18, 139)(19, 101)(20, 138)(21, 134)(22, 102)(23, 141)(24, 137)(25, 127)(26, 142)(27, 133)(28, 105)(29, 140)(30, 106)(31, 117)(32, 118)(33, 107)(34, 114)(35, 115)(36, 119)(37, 143)(38, 109)(39, 125)(40, 110)(41, 124)(42, 121)(43, 144)(44, 112)(45, 126)(46, 123)(47, 129)(48, 132)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 48, 8, 48 ), ( 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48 ) }
Outer automorphisms :: reflexible
Dual of E28.823
Graph:: bipartite
	v = 28 e = 96 f = 14
	degree seq :: [ 4^24, 24^4 ]

E28.823 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12, 24})
Quotient :: dipole
Aut^+ = C3 x Q16 (small group id <48, 27>)
Aut   = (C8 x S3) : C2 (small group id <96, 126>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, Y1^-1 * Y3, Y1 * Y3^-1, (R * Y1)^2, Y1^3 * Y3, (R * Y3)^2, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, R * Y1^-1 * Y2^-1 * R * Y3^-1 * Y2^-1, Y3^-1 * Y2^-2 * Y1^-1 * Y2^2, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y2 * Y1 * Y2^-1 * Y3 * Y2 * Y1 * Y2^-1 * Y1^-1, Y2^3 * Y1 * Y2^3 * Y1^-1, Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, (Y2 * R * Y2^-1 * Y1^-1)^2, Y2^-1 * R * Y2^3 * R * Y2^-2, (Y3 * Y2^-1)^12 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 6, 54, 4, 52)(3, 51, 9, 57, 17, 65, 11, 59)(5, 53, 14, 62, 18, 66, 15, 63)(7, 55, 19, 67, 12, 60, 21, 69)(8, 56, 22, 70, 13, 61, 23, 71)(10, 58, 27, 75, 35, 83, 20, 68)(16, 64, 31, 79, 36, 84, 24, 72)(25, 73, 37, 85, 29, 77, 40, 88)(26, 74, 41, 89, 30, 78, 38, 86)(28, 76, 44, 92, 47, 95, 45, 93)(32, 80, 42, 90, 33, 81, 43, 91)(34, 82, 39, 87, 48, 96, 46, 94)(97, 145, 99, 147, 106, 154, 124, 172, 138, 186, 118, 166, 137, 185, 117, 165, 136, 184, 144, 192, 132, 180, 114, 162, 102, 150, 113, 161, 131, 179, 143, 191, 139, 187, 119, 167, 134, 182, 115, 163, 133, 181, 130, 178, 112, 160, 101, 149)(98, 146, 103, 151, 116, 164, 135, 183, 129, 177, 111, 159, 122, 170, 105, 153, 121, 169, 141, 189, 127, 175, 109, 157, 100, 148, 108, 156, 123, 171, 142, 190, 128, 176, 110, 158, 126, 174, 107, 155, 125, 173, 140, 188, 120, 168, 104, 152)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 100)(7, 115)(8, 118)(9, 113)(10, 123)(11, 99)(12, 117)(13, 119)(14, 114)(15, 101)(16, 127)(17, 107)(18, 111)(19, 108)(20, 106)(21, 103)(22, 109)(23, 104)(24, 112)(25, 133)(26, 137)(27, 131)(28, 140)(29, 136)(30, 134)(31, 132)(32, 138)(33, 139)(34, 135)(35, 116)(36, 120)(37, 125)(38, 122)(39, 144)(40, 121)(41, 126)(42, 129)(43, 128)(44, 143)(45, 124)(46, 130)(47, 141)(48, 142)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24, 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.822
Graph:: bipartite
	v = 14 e = 96 f = 28
	degree seq :: [ 8^12, 48^2 ]

E28.824 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 48, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1 * Y3^-1, Y1^3, (Y2, Y3), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y1^-1, Y2^-1), (Y3^-1 * Y1^-1)^2, Y2^2 * Y3 * Y2^-3 * Y3 * Y2 * Y1^-1, Y2^-3 * Y3 * Y2^-5, (Y2^-1 * Y3)^48 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 8, 56, 13, 61)(4, 52, 9, 57, 7, 55)(6, 54, 10, 58, 16, 64)(11, 59, 19, 67, 25, 73)(12, 60, 20, 68, 14, 62)(15, 63, 21, 69, 18, 66)(17, 65, 22, 70, 28, 76)(23, 71, 31, 79, 37, 85)(24, 72, 32, 80, 26, 74)(27, 75, 33, 81, 30, 78)(29, 77, 34, 82, 40, 88)(35, 83, 43, 91, 47, 95)(36, 84, 44, 92, 38, 86)(39, 87, 45, 93, 42, 90)(41, 89, 46, 94, 48, 96)(97, 145, 99, 147, 107, 155, 119, 167, 131, 179, 135, 183, 123, 171, 111, 159, 100, 148, 108, 156, 120, 168, 132, 180, 142, 190, 130, 178, 118, 166, 106, 154, 98, 146, 104, 152, 115, 163, 127, 175, 139, 187, 141, 189, 129, 177, 117, 165, 105, 153, 116, 164, 128, 176, 140, 188, 144, 192, 136, 184, 124, 172, 112, 160, 101, 149, 109, 157, 121, 169, 133, 181, 143, 191, 138, 186, 126, 174, 114, 162, 103, 151, 110, 158, 122, 170, 134, 182, 137, 185, 125, 173, 113, 161, 102, 150)
	L = (1, 100)(2, 105)(3, 108)(4, 98)(5, 103)(6, 111)(7, 97)(8, 116)(9, 101)(10, 117)(11, 120)(12, 104)(13, 110)(14, 99)(15, 106)(16, 114)(17, 123)(18, 102)(19, 128)(20, 109)(21, 112)(22, 129)(23, 132)(24, 115)(25, 122)(26, 107)(27, 118)(28, 126)(29, 135)(30, 113)(31, 140)(32, 121)(33, 124)(34, 141)(35, 142)(36, 127)(37, 134)(38, 119)(39, 130)(40, 138)(41, 131)(42, 125)(43, 144)(44, 133)(45, 136)(46, 139)(47, 137)(48, 143)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 96, 4, 96, 4, 96 ), ( 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96 ) }
Outer automorphisms :: reflexible
Dual of E28.825
Graph:: bipartite
	v = 17 e = 96 f = 25
	degree seq :: [ 6^16, 96 ]

E28.825 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 48, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y2 * Y3^-3, (Y3, Y1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2 * Y1 * Y2 * Y1^-1, Y3^-1 * Y2 * Y3 * Y2, Y1^4 * Y3 * Y1^4, Y2 * Y1^4 * Y3^-1 * Y1^4 * Y3^-1, Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1, (Y1^-1 * Y3^-1)^48 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 17, 65, 29, 77, 40, 88, 28, 76, 16, 64, 6, 54, 10, 58, 20, 68, 32, 80, 42, 90, 45, 93, 35, 83, 23, 71, 11, 59, 21, 69, 33, 81, 43, 91, 46, 94, 36, 84, 24, 72, 12, 60, 3, 51, 8, 56, 18, 66, 30, 78, 41, 89, 47, 95, 37, 85, 25, 73, 13, 61, 22, 70, 34, 82, 44, 92, 48, 96, 38, 86, 26, 74, 14, 62, 4, 52, 9, 57, 19, 67, 31, 79, 39, 87, 27, 75, 15, 63, 5, 53)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 107, 155)(101, 149, 108, 156)(102, 150, 109, 157)(103, 151, 114, 162)(105, 153, 117, 165)(106, 154, 118, 166)(110, 158, 119, 167)(111, 159, 120, 168)(112, 160, 121, 169)(113, 161, 126, 174)(115, 163, 129, 177)(116, 164, 130, 178)(122, 170, 131, 179)(123, 171, 132, 180)(124, 172, 133, 181)(125, 173, 137, 185)(127, 175, 139, 187)(128, 176, 140, 188)(134, 182, 141, 189)(135, 183, 142, 190)(136, 184, 143, 191)(138, 186, 144, 192)
	L = (1, 100)(2, 105)(3, 107)(4, 109)(5, 110)(6, 97)(7, 115)(8, 117)(9, 118)(10, 98)(11, 102)(12, 119)(13, 99)(14, 121)(15, 122)(16, 101)(17, 127)(18, 129)(19, 130)(20, 103)(21, 106)(22, 104)(23, 112)(24, 131)(25, 108)(26, 133)(27, 134)(28, 111)(29, 135)(30, 139)(31, 140)(32, 113)(33, 116)(34, 114)(35, 124)(36, 141)(37, 120)(38, 143)(39, 144)(40, 123)(41, 142)(42, 125)(43, 128)(44, 126)(45, 136)(46, 138)(47, 132)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 96, 6, 96 ), ( 6, 96, 6, 96, 6, 96, 6, 96, 6, 96, 6, 96, 6, 96, 6, 96, 6, 96, 6, 96, 6, 96, 6, 96, 6, 96, 6, 96, 6, 96, 6, 96, 6, 96, 6, 96, 6, 96, 6, 96, 6, 96, 6, 96, 6, 96, 6, 96, 6, 96, 6, 96, 6, 96, 6, 96, 6, 96, 6, 96, 6, 96, 6, 96, 6, 96, 6, 96, 6, 96, 6, 96, 6, 96, 6, 96, 6, 96, 6, 96, 6, 96, 6, 96, 6, 96, 6, 96, 6, 96, 6, 96, 6, 96, 6, 96 ) }
Outer automorphisms :: reflexible
Dual of E28.824
Graph:: bipartite
	v = 25 e = 96 f = 17
	degree seq :: [ 4^24, 96 ]

E28.826 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 6, 6})
Quotient :: edge^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2, Y2^2 * Y1^-1, Y1^3, R * Y2 * R * Y1, (R * Y3)^2, Y3^6, Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3^-2, Y2 * Y3^2 * Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1, Y1 * Y3 * Y2 * Y3^-2 * Y1^-1 * Y3, Y1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3^2, Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 55, 4, 58, 12, 66, 34, 88, 15, 69, 5, 59)(2, 56, 6, 60, 18, 72, 44, 98, 21, 75, 7, 61)(3, 57, 8, 62, 24, 78, 48, 102, 27, 81, 9, 63)(10, 64, 28, 82, 49, 103, 40, 94, 20, 74, 29, 83)(11, 65, 30, 84, 50, 104, 39, 93, 25, 79, 31, 85)(13, 67, 35, 89, 17, 71, 33, 87, 52, 106, 36, 90)(14, 68, 37, 91, 22, 76, 32, 86, 51, 105, 38, 92)(16, 70, 41, 95, 53, 107, 47, 101, 26, 80, 42, 96)(19, 73, 45, 99, 23, 77, 43, 97, 54, 108, 46, 100)(109, 110, 111)(112, 118, 119)(113, 121, 122)(114, 124, 125)(115, 127, 128)(116, 130, 131)(117, 133, 134)(120, 140, 141)(123, 147, 148)(126, 136, 151)(129, 144, 155)(132, 149, 138)(135, 154, 146)(137, 150, 145)(139, 143, 153)(142, 156, 152)(157, 159, 161)(158, 162, 160)(163, 165, 164)(166, 173, 172)(167, 176, 175)(168, 179, 178)(169, 182, 181)(170, 185, 184)(171, 188, 187)(174, 195, 194)(177, 202, 201)(180, 205, 190)(183, 209, 198)(186, 192, 203)(189, 200, 208)(191, 199, 204)(193, 207, 197)(196, 206, 210)(211, 215, 213)(212, 214, 216)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 24^3 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E28.846
Graph:: simple bipartite
	v = 45 e = 108 f = 9
	degree seq :: [ 3^36, 12^9 ]

E28.827 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 6, 6})
Quotient :: edge^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3, (Y2^-1, Y1^-1), (R * Y3)^2, R * Y2 * R * Y1, Y3^-1 * Y1^-1 * Y3 * Y2, Y2 * Y1^-1 * Y3 * Y1 * Y3^-1, Y3^6, Y3^-1 * Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 55, 4, 58, 16, 70, 36, 90, 25, 79, 7, 61)(2, 56, 9, 63, 29, 83, 46, 100, 31, 85, 11, 65)(3, 57, 12, 66, 32, 86, 48, 102, 33, 87, 14, 68)(5, 59, 18, 72, 38, 92, 51, 105, 39, 93, 20, 74)(6, 60, 21, 75, 35, 89, 50, 104, 40, 94, 22, 76)(8, 62, 26, 80, 43, 97, 53, 107, 44, 98, 27, 81)(10, 64, 15, 69, 34, 88, 49, 103, 42, 96, 24, 78)(13, 67, 17, 71, 37, 91, 52, 106, 41, 95, 23, 77)(19, 73, 28, 82, 45, 99, 54, 108, 47, 101, 30, 84)(109, 110, 113)(111, 116, 121)(112, 123, 125)(114, 118, 127)(115, 122, 130)(117, 136, 120)(119, 135, 132)(124, 143, 140)(126, 129, 134)(128, 131, 138)(133, 149, 150)(137, 142, 151)(139, 141, 155)(144, 159, 154)(145, 146, 153)(147, 152, 148)(156, 160, 161)(157, 158, 162)(163, 165, 168)(164, 170, 172)(166, 171, 180)(167, 175, 181)(169, 185, 186)(173, 176, 192)(174, 188, 179)(177, 190, 183)(178, 196, 199)(182, 189, 184)(187, 201, 193)(191, 207, 194)(195, 203, 206)(197, 205, 200)(198, 212, 210)(202, 209, 204)(208, 211, 215)(213, 216, 214)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 24^3 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E28.847
Graph:: simple bipartite
	v = 45 e = 108 f = 9
	degree seq :: [ 3^36, 12^9 ]

E28.828 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 6, 6})
Quotient :: edge^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3, Y1^3, (R * Y3)^2, R * Y1 * R * Y2, (Y2, Y1), Y3^-1 * Y2^-1 * Y3 * Y1, Y3^-1 * Y1 * Y2^-1 * Y3 * Y2, Y1^-1 * Y3^-1 * Y1 * Y3 * Y2, Y3^6, Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 55, 4, 58, 16, 70, 36, 90, 25, 79, 7, 61)(2, 56, 9, 63, 28, 82, 45, 99, 31, 85, 11, 65)(3, 57, 12, 66, 32, 86, 48, 102, 33, 87, 14, 68)(5, 59, 19, 73, 35, 89, 50, 104, 39, 93, 21, 75)(6, 60, 17, 71, 38, 92, 51, 105, 40, 94, 22, 76)(8, 62, 26, 80, 43, 97, 53, 107, 44, 98, 27, 81)(10, 64, 18, 72, 37, 91, 52, 106, 41, 95, 23, 77)(13, 67, 15, 69, 34, 88, 49, 103, 42, 96, 24, 78)(20, 74, 29, 83, 46, 100, 54, 108, 47, 101, 30, 84)(109, 110, 113)(111, 116, 121)(112, 120, 125)(114, 118, 128)(115, 131, 132)(117, 134, 126)(119, 138, 122)(123, 137, 127)(124, 142, 145)(129, 130, 135)(133, 148, 141)(136, 140, 154)(139, 149, 152)(143, 151, 146)(144, 158, 153)(147, 155, 150)(156, 157, 161)(159, 162, 160)(163, 165, 168)(164, 170, 172)(166, 177, 180)(167, 175, 182)(169, 173, 183)(171, 174, 191)(176, 189, 186)(178, 197, 190)(179, 181, 188)(184, 185, 192)(187, 203, 204)(193, 209, 195)(194, 196, 205)(198, 213, 210)(199, 200, 208)(201, 202, 206)(207, 214, 215)(211, 212, 216)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 24^3 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E28.848
Graph:: simple bipartite
	v = 45 e = 108 f = 9
	degree seq :: [ 3^36, 12^9 ]

E28.829 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 6, 6})
Quotient :: edge^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, (Y3^-1 * Y1^-1)^2, Y3 * Y1 * Y3^-1 * Y2^-1, (R * Y3)^2, R * Y1 * R * Y2, Y1 * Y2 * Y3^2, (Y1 * Y3)^2, (Y3 * Y2^-1 * Y1^-1)^2, (Y1^-1 * Y2^-1)^3, (Y2 * Y1^-1)^3, Y1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2 * Y3^-1 * Y2, Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y1^-1 * Y2^-1, Y2 * Y1^-1 * Y3 * Y2 * Y3^-1 * Y1 * Y3^2 ]
Map:: non-degenerate
	R = (1, 55, 4, 58, 17, 71, 27, 81, 8, 62, 7, 61)(2, 56, 9, 63, 29, 83, 47, 101, 20, 74, 11, 65)(3, 57, 13, 67, 5, 59, 21, 75, 33, 87, 15, 69)(6, 60, 18, 72, 14, 68, 37, 91, 42, 96, 16, 70)(10, 64, 24, 78, 26, 80, 51, 105, 38, 92, 28, 82)(12, 66, 34, 88, 53, 107, 30, 84, 31, 85, 36, 90)(19, 73, 23, 77, 41, 95, 45, 99, 54, 108, 43, 97)(22, 76, 32, 86, 46, 100, 40, 94, 52, 106, 48, 102)(25, 79, 44, 98, 35, 89, 39, 93, 49, 103, 50, 104)(109, 110, 113)(111, 120, 122)(112, 121, 126)(114, 131, 125)(115, 132, 117)(116, 133, 134)(118, 139, 137)(119, 140, 129)(123, 147, 142)(124, 148, 149)(127, 152, 135)(128, 153, 154)(130, 157, 141)(136, 145, 144)(138, 162, 155)(143, 151, 161)(146, 160, 150)(156, 159, 158)(163, 165, 168)(164, 170, 172)(166, 178, 181)(167, 182, 184)(169, 173, 175)(171, 190, 192)(174, 195, 197)(176, 193, 200)(177, 198, 180)(179, 205, 187)(183, 210, 201)(185, 204, 208)(186, 189, 212)(188, 211, 214)(191, 215, 207)(194, 209, 203)(196, 206, 216)(199, 213, 202)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 24^3 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E28.849
Graph:: simple bipartite
	v = 45 e = 108 f = 9
	degree seq :: [ 3^36, 12^9 ]

E28.830 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 6, 6})
Quotient :: edge^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, R * Y1 * R * Y2, (Y3^-1 * Y1^-1)^2, (Y3^-1 * Y2^-1)^2, (R * Y3)^2, Y3^-1 * Y1 * Y2^-1 * Y1 * Y3^-1, Y2^-1 * Y3^2 * Y2^-1 * Y1, Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y2, (Y1^-1 * Y3 * Y2^-1)^2, Y3^6, Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y1, (Y2^-1 * Y1^-1)^3, Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y2^-1 * Y1^-1 * Y3 * Y2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 55, 4, 58, 18, 72, 50, 104, 29, 83, 7, 61)(2, 56, 9, 63, 35, 89, 43, 97, 14, 68, 11, 65)(3, 57, 13, 67, 44, 98, 34, 88, 10, 64, 15, 69)(5, 59, 22, 76, 24, 78, 49, 103, 32, 86, 16, 70)(6, 60, 25, 79, 21, 75, 48, 102, 42, 96, 17, 71)(8, 62, 31, 85, 53, 107, 45, 99, 23, 77, 33, 87)(12, 66, 41, 95, 54, 108, 36, 90, 26, 80, 38, 92)(19, 73, 30, 84, 28, 82, 52, 106, 47, 101, 37, 91)(20, 74, 40, 94, 27, 81, 51, 105, 39, 93, 46, 100)(109, 110, 113)(111, 120, 122)(112, 124, 127)(114, 132, 134)(115, 135, 117)(116, 138, 140)(118, 126, 145)(119, 146, 130)(121, 151, 153)(123, 155, 149)(125, 139, 157)(128, 136, 141)(129, 159, 137)(131, 143, 148)(133, 144, 147)(142, 156, 158)(150, 152, 161)(154, 162, 160)(163, 165, 168)(164, 170, 172)(166, 179, 182)(167, 183, 185)(169, 190, 175)(171, 196, 198)(173, 201, 193)(174, 202, 204)(176, 180, 208)(177, 195, 187)(178, 203, 210)(181, 189, 200)(184, 207, 209)(186, 214, 191)(188, 206, 192)(194, 197, 216)(199, 215, 213)(205, 211, 212)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 24^3 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E28.851
Graph:: simple bipartite
	v = 45 e = 108 f = 9
	degree seq :: [ 3^36, 12^9 ]

E28.831 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 6, 6})
Quotient :: edge^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, Y3^-1 * Y1 * Y3 * Y2^-1, (Y3 * Y2)^2, R * Y1 * R * Y2, (R * Y3)^2, Y1^-1 * Y2^-1 * Y3^-2, Y1 * Y3^-1 * Y1^-1 * Y2 * Y3^-1, Y3^-2 * Y2 * Y1 * Y3^-2, (Y1 * Y2^-1)^3, Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3^2 * Y2^-1 * Y1^-1, Y3^-2 * Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 55, 4, 58, 17, 71, 35, 89, 12, 66, 7, 61)(2, 56, 9, 63, 6, 60, 22, 76, 25, 79, 11, 65)(3, 57, 13, 67, 37, 91, 47, 101, 21, 75, 15, 69)(5, 59, 19, 73, 10, 64, 30, 84, 42, 96, 16, 70)(8, 62, 26, 80, 51, 105, 38, 92, 29, 83, 28, 82)(14, 68, 24, 78, 34, 88, 53, 107, 31, 85, 36, 90)(18, 72, 20, 74, 41, 95, 46, 100, 52, 106, 43, 97)(23, 77, 39, 93, 45, 99, 40, 94, 54, 108, 48, 102)(27, 81, 32, 86, 49, 103, 50, 104, 33, 87, 44, 98)(109, 110, 113)(111, 120, 122)(112, 124, 126)(114, 129, 131)(115, 123, 117)(116, 133, 135)(118, 137, 139)(119, 136, 127)(121, 144, 146)(125, 151, 141)(128, 150, 153)(130, 156, 140)(132, 143, 158)(134, 152, 160)(138, 161, 148)(142, 157, 162)(145, 159, 154)(147, 155, 149)(163, 165, 168)(164, 170, 172)(166, 171, 181)(167, 182, 179)(169, 186, 175)(173, 194, 188)(174, 195, 196)(176, 191, 199)(177, 201, 184)(178, 202, 203)(180, 206, 197)(183, 208, 207)(185, 211, 187)(189, 205, 213)(190, 198, 192)(193, 216, 204)(200, 214, 209)(210, 215, 212)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 24^3 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E28.850
Graph:: simple bipartite
	v = 45 e = 108 f = 9
	degree seq :: [ 3^36, 12^9 ]

E28.832 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 6, 6})
Quotient :: edge^2
Aut^+ = C2 x ((C3 x C3) : C3) (small group id <54, 10>)
Aut   = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, (Y3, Y1^-1), (Y3^-1, Y2^-1), (R * Y3)^2, R * Y1 * R * Y2, Y3^-2 * Y1 * Y2^-1 * Y1^-1 * Y2, (Y1 * Y2^-1)^3, Y2^-1 * Y3 * Y1 * Y3 * Y2 * Y1^-1, (Y1 * Y2)^3, Y3^6 ]
Map:: non-degenerate
	R = (1, 55, 4, 58, 16, 70, 42, 96, 25, 79, 7, 61)(2, 56, 9, 63, 30, 84, 52, 106, 35, 89, 11, 65)(3, 57, 13, 67, 38, 92, 51, 105, 28, 82, 15, 69)(5, 59, 17, 71, 43, 97, 54, 108, 40, 94, 21, 75)(6, 60, 18, 72, 33, 87, 53, 107, 48, 102, 24, 78)(8, 62, 27, 81, 12, 66, 37, 91, 47, 101, 29, 83)(10, 64, 31, 85, 36, 90, 50, 104, 22, 76, 34, 88)(14, 68, 39, 93, 19, 73, 44, 98, 26, 80, 41, 95)(20, 74, 45, 99, 23, 77, 46, 100, 32, 86, 49, 103)(109, 110, 113)(111, 120, 122)(112, 117, 125)(114, 130, 131)(115, 119, 129)(116, 134, 136)(118, 140, 141)(121, 145, 147)(123, 135, 149)(124, 138, 151)(126, 142, 154)(127, 146, 155)(128, 156, 144)(132, 158, 153)(133, 143, 148)(137, 152, 159)(139, 157, 161)(150, 160, 162)(163, 165, 168)(164, 170, 172)(166, 175, 180)(167, 181, 182)(169, 177, 186)(171, 189, 193)(173, 191, 196)(174, 198, 192)(176, 194, 202)(178, 200, 195)(179, 206, 207)(183, 201, 211)(184, 197, 209)(185, 205, 188)(187, 190, 210)(199, 212, 214)(203, 208, 216)(204, 213, 215)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 24^3 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E28.854
Graph:: simple bipartite
	v = 45 e = 108 f = 9
	degree seq :: [ 3^36, 12^9 ]

E28.833 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 6, 6})
Quotient :: edge^2
Aut^+ = C2 x ((C3 x C3) : C3) (small group id <54, 10>)
Aut   = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1, Y2 * Y1^-2, Y2^3, R * Y1 * R * Y2, (R * Y3)^2, Y3^6, Y2 * Y3^-2 * Y2 * Y3 * Y1^-1 * Y3, Y1 * Y3 * Y1 * Y3 * Y2^-1 * Y3^-2, Y1 * Y3 * Y1 * Y3^-2 * Y2^-1 * Y3, Y1 * Y3^2 * Y1 * Y3^-1 * Y2^-1 * Y3^-1, Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 55, 4, 58, 12, 66, 34, 88, 15, 69, 5, 59)(2, 56, 6, 60, 18, 72, 44, 98, 21, 75, 7, 61)(3, 57, 8, 62, 24, 78, 48, 102, 27, 81, 9, 63)(10, 64, 28, 82, 49, 103, 39, 93, 26, 80, 29, 83)(11, 65, 30, 84, 50, 104, 40, 94, 19, 73, 31, 85)(13, 67, 35, 89, 23, 77, 32, 86, 51, 105, 36, 90)(14, 68, 37, 91, 16, 70, 33, 87, 52, 106, 38, 92)(17, 71, 41, 95, 53, 107, 47, 101, 25, 79, 42, 96)(20, 74, 45, 99, 22, 76, 43, 97, 54, 108, 46, 100)(109, 110, 111)(112, 118, 119)(113, 121, 122)(114, 124, 125)(115, 127, 128)(116, 130, 131)(117, 133, 134)(120, 140, 141)(123, 147, 148)(126, 138, 151)(129, 146, 155)(132, 149, 136)(135, 154, 144)(137, 145, 153)(139, 150, 143)(142, 152, 156)(157, 160, 162)(158, 161, 159)(163, 165, 164)(166, 173, 172)(167, 176, 175)(168, 179, 178)(169, 182, 181)(170, 185, 184)(171, 188, 187)(174, 195, 194)(177, 202, 201)(180, 205, 192)(183, 209, 200)(186, 190, 203)(189, 198, 208)(191, 207, 199)(193, 197, 204)(196, 210, 206)(211, 216, 214)(212, 213, 215)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 24^3 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E28.853
Graph:: simple bipartite
	v = 45 e = 108 f = 9
	degree seq :: [ 3^36, 12^9 ]

E28.834 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 6, 6})
Quotient :: edge^2
Aut^+ = C2 x ((C3 x C3) : C3) (small group id <54, 10>)
Aut   = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3, (R * Y3)^2, R * Y1 * R * Y2, Y2^-1 * Y3^2 * Y1^-1, Y1^-1 * Y3 * Y2 * Y3 * Y2, Y3 * Y1 * Y3 * Y2^-1 * Y1, Y1 * Y2 * Y1^-1 * Y3^-1 * Y2^-1 * Y3, (Y2 * Y1)^3, Y2^-1 * Y1^-1 * Y2 * Y3 * Y1 * Y3^-1, Y3 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y3^-4 * Y1^-1, (Y2 * Y1^-1)^3, (Y2^-1 * Y1^-1 * Y3^-1)^6 ]
Map:: non-degenerate
	R = (1, 55, 4, 58, 12, 66, 34, 88, 22, 76, 7, 61)(2, 56, 9, 63, 30, 84, 26, 80, 6, 60, 11, 65)(3, 57, 13, 67, 24, 78, 28, 82, 44, 98, 15, 69)(5, 59, 21, 75, 48, 102, 17, 71, 10, 64, 23, 77)(8, 62, 31, 85, 36, 90, 39, 93, 53, 107, 33, 87)(14, 68, 29, 83, 37, 91, 27, 81, 42, 96, 45, 99)(16, 70, 20, 74, 43, 97, 50, 104, 19, 73, 47, 101)(18, 72, 32, 86, 40, 94, 41, 95, 38, 92, 49, 103)(25, 79, 46, 100, 54, 108, 35, 89, 51, 105, 52, 106)(109, 110, 113)(111, 120, 122)(112, 124, 126)(114, 132, 133)(115, 135, 136)(116, 138, 140)(117, 123, 143)(118, 144, 145)(119, 146, 147)(121, 139, 151)(125, 142, 134)(127, 131, 154)(128, 156, 159)(129, 141, 153)(130, 158, 149)(137, 148, 160)(150, 157, 162)(152, 161, 155)(163, 165, 168)(164, 170, 172)(166, 179, 181)(167, 182, 184)(169, 180, 191)(171, 196, 190)(173, 197, 202)(174, 203, 204)(175, 189, 195)(176, 198, 206)(177, 205, 208)(178, 193, 200)(183, 188, 201)(185, 207, 214)(186, 209, 213)(187, 211, 192)(194, 212, 215)(199, 216, 210)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 24^3 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E28.852
Graph:: simple bipartite
	v = 45 e = 108 f = 9
	degree seq :: [ 3^36, 12^9 ]

E28.835 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 6, 6})
Quotient :: edge^2
Aut^+ = C2 x ((C3 x C3) : C3) (small group id <54, 10>)
Aut   = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3, Y2^-1 * Y1^-1 * Y3^-2, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y1^-1 * Y3 * Y2 * Y1^-1, Y1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y2^-1 * Y3^-1 * Y1 * Y3^-1 * Y1, Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2, Y1^-1 * Y2^-1 * Y1^-1 * Y3^2 * Y2^-1, Y1^-1 * Y3^-1 * Y2 * Y1 * Y2^-1 * Y3, (Y1 * Y2^-1)^3, Y2 * Y1 * Y3^-1 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 55, 4, 58, 18, 72, 32, 86, 8, 62, 7, 61)(2, 56, 9, 63, 35, 89, 20, 74, 21, 75, 11, 65)(3, 57, 13, 67, 5, 59, 22, 76, 41, 95, 15, 69)(6, 60, 25, 79, 14, 68, 27, 81, 52, 106, 26, 80)(10, 64, 38, 92, 31, 85, 17, 71, 46, 100, 19, 73)(12, 66, 40, 94, 54, 108, 45, 99, 37, 91, 39, 93)(16, 70, 47, 101, 43, 97, 30, 84, 44, 98, 42, 96)(23, 77, 49, 103, 51, 105, 34, 88, 53, 107, 36, 90)(24, 78, 28, 82, 50, 104, 29, 83, 48, 102, 33, 87)(109, 110, 113)(111, 120, 122)(112, 124, 127)(114, 132, 126)(115, 135, 137)(116, 138, 139)(117, 141, 144)(118, 145, 143)(119, 125, 148)(121, 142, 152)(123, 140, 128)(129, 158, 159)(130, 153, 134)(131, 155, 149)(133, 146, 157)(136, 147, 151)(150, 156, 162)(154, 161, 160)(163, 165, 168)(164, 170, 172)(166, 179, 182)(167, 183, 185)(169, 190, 178)(171, 196, 177)(173, 201, 195)(174, 203, 204)(175, 205, 207)(176, 199, 208)(180, 210, 192)(181, 206, 211)(184, 189, 194)(186, 214, 213)(187, 198, 191)(188, 202, 200)(193, 209, 215)(197, 216, 212)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 24^3 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E28.855
Graph:: simple bipartite
	v = 45 e = 108 f = 9
	degree seq :: [ 3^36, 12^9 ]

E28.836 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 6, 6})
Quotient :: edge^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, Y1^6, Y2^6, Y1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1, Y1^-1 * Y3^-1 * Y2^-1 * Y3 * Y1^2 * Y3, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1, (Y1^-1 * Y3^-1 * Y2^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 55, 3, 57, 5, 59)(2, 56, 7, 61, 8, 62)(4, 58, 11, 65, 13, 67)(6, 60, 17, 71, 18, 72)(9, 63, 24, 78, 25, 79)(10, 64, 26, 80, 28, 82)(12, 66, 31, 85, 32, 86)(14, 68, 36, 90, 37, 91)(15, 69, 38, 92, 40, 94)(16, 70, 41, 95, 42, 96)(19, 73, 46, 100, 23, 77)(20, 74, 47, 101, 33, 87)(21, 75, 35, 89, 49, 103)(22, 76, 29, 83, 50, 104)(27, 81, 30, 84, 52, 106)(34, 88, 39, 93, 51, 105)(43, 97, 53, 107, 45, 99)(44, 98, 48, 102, 54, 108)(109, 110, 114, 124, 120, 112)(111, 117, 131, 150, 135, 118)(113, 122, 143, 149, 147, 123)(115, 127, 153, 140, 136, 128)(116, 129, 156, 139, 146, 130)(119, 137, 133, 126, 152, 138)(121, 141, 144, 125, 151, 142)(132, 157, 161, 160, 148, 155)(134, 158, 145, 154, 162, 159)(163, 164, 168, 178, 174, 166)(165, 171, 185, 204, 189, 172)(167, 176, 197, 203, 201, 177)(169, 181, 207, 194, 190, 182)(170, 183, 210, 193, 200, 184)(173, 191, 187, 180, 206, 192)(175, 195, 198, 179, 205, 196)(186, 211, 215, 214, 202, 209)(188, 212, 199, 208, 216, 213)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.857
Graph:: simple bipartite
	v = 36 e = 108 f = 18
	degree seq :: [ 6^36 ]

E28.837 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 6, 6})
Quotient :: edge^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1, Y3^3, (Y2 * Y3^-1)^2, (R * Y3)^2, R * Y2 * R * Y1, (Y1 * Y3^-1)^2, Y2^6, Y1^6, Y3 * Y1 * Y3 * Y1 * Y3^2 * Y2 * Y1 * Y3, Y3 * Y1^2 * Y3 * Y2 * Y1 * Y3 * Y1^2, (Y1^-1 * Y3^-1 * Y2^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 55, 3, 57, 5, 59)(2, 56, 7, 61, 8, 62)(4, 58, 10, 64, 12, 66)(6, 60, 15, 69, 16, 70)(9, 63, 20, 74, 13, 67)(11, 65, 22, 76, 23, 77)(14, 68, 26, 80, 27, 81)(17, 71, 31, 85, 18, 72)(19, 73, 33, 87, 34, 88)(21, 75, 37, 91, 24, 78)(25, 79, 35, 89, 41, 95)(28, 82, 44, 98, 29, 83)(30, 84, 40, 94, 46, 100)(32, 86, 47, 101, 48, 102)(36, 90, 50, 104, 51, 105)(38, 92, 49, 103, 39, 93)(42, 96, 53, 107, 43, 97)(45, 99, 54, 108, 52, 106)(109, 110, 114, 122, 119, 112)(111, 117, 127, 140, 126, 116)(113, 118, 129, 144, 133, 121)(115, 125, 138, 153, 137, 124)(120, 130, 146, 160, 148, 132)(123, 136, 149, 158, 151, 135)(128, 143, 152, 162, 157, 142)(131, 134, 150, 156, 141, 147)(139, 155, 161, 159, 145, 154)(163, 164, 168, 176, 173, 166)(165, 171, 181, 194, 180, 170)(167, 172, 183, 198, 187, 175)(169, 179, 192, 207, 191, 178)(174, 184, 200, 214, 202, 186)(177, 190, 203, 212, 205, 189)(182, 197, 206, 216, 211, 196)(185, 188, 204, 210, 195, 201)(193, 209, 215, 213, 199, 208)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.856
Graph:: simple bipartite
	v = 36 e = 108 f = 18
	degree seq :: [ 6^36 ]

E28.838 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 6, 6})
Quotient :: edge^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2, Y3^3, (R * Y3)^2, Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1, R * Y2 * R * Y1, Y1^6, Y2^6, Y1^2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1^2 * Y3^-1, Y2^-1 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y3 * Y1^-1 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 55, 3, 57, 5, 59)(2, 56, 7, 61, 8, 62)(4, 58, 11, 65, 9, 63)(6, 60, 15, 69, 16, 70)(10, 64, 20, 74, 13, 67)(12, 66, 24, 78, 22, 76)(14, 68, 26, 80, 27, 81)(17, 71, 30, 84, 18, 72)(19, 73, 23, 77, 34, 88)(21, 75, 37, 91, 35, 89)(25, 79, 36, 90, 41, 95)(28, 82, 44, 98, 29, 83)(31, 85, 48, 102, 46, 100)(32, 86, 47, 101, 39, 93)(33, 87, 49, 103, 50, 104)(38, 92, 40, 94, 51, 105)(42, 96, 53, 107, 43, 97)(45, 99, 52, 106, 54, 108)(109, 110, 114, 122, 120, 112)(111, 117, 127, 141, 129, 118)(113, 121, 133, 139, 125, 115)(116, 126, 140, 153, 136, 123)(119, 130, 146, 160, 147, 131)(124, 137, 145, 158, 150, 134)(128, 143, 152, 162, 159, 144)(132, 135, 151, 156, 149, 148)(138, 154, 161, 157, 142, 155)(163, 164, 168, 176, 174, 166)(165, 171, 181, 195, 183, 172)(167, 175, 187, 193, 179, 169)(170, 180, 194, 207, 190, 177)(173, 184, 200, 214, 201, 185)(178, 191, 199, 212, 204, 188)(182, 197, 206, 216, 213, 198)(186, 189, 205, 210, 203, 202)(192, 208, 215, 211, 196, 209)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.858
Graph:: simple bipartite
	v = 36 e = 108 f = 18
	degree seq :: [ 6^36 ]

E28.839 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 6, 6})
Quotient :: edge^2
Aut^+ = C2 x ((C3 x C3) : C3) (small group id <54, 10>)
Aut   = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y2, Y3), (Y3, Y1^-1), (R * Y3)^2, R * Y1 * R * Y2, Y2^-1 * Y3^-1 * Y1 * Y2 * Y1^-1, Y2^6, (Y2 * Y1^-1)^3, Y2^-3 * Y1^3, Y3^-1 * Y1^-1 * Y2 * Y1 * Y3^-1 * Y2^-1, Y1^-2 * Y2^-3 * Y1^-1, (Y2 * Y1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 55, 4, 58, 7, 61)(2, 56, 10, 64, 12, 66)(3, 57, 15, 69, 17, 71)(5, 59, 18, 72, 23, 77)(6, 60, 19, 73, 27, 81)(8, 62, 30, 84, 32, 86)(9, 63, 35, 89, 13, 67)(11, 65, 24, 78, 38, 92)(14, 68, 42, 96, 44, 98)(16, 70, 45, 99, 20, 74)(21, 75, 47, 101, 51, 105)(22, 76, 48, 102, 25, 79)(26, 80, 49, 103, 52, 106)(28, 82, 53, 107, 54, 108)(29, 83, 39, 93, 33, 87)(31, 85, 36, 90, 43, 97)(34, 88, 41, 95, 40, 94)(37, 91, 50, 104, 46, 100)(109, 110, 116, 136, 129, 113)(111, 121, 147, 134, 154, 124)(112, 118, 138, 161, 155, 126)(114, 132, 151, 122, 149, 133)(115, 120, 140, 162, 159, 131)(117, 141, 157, 145, 153, 123)(119, 144, 152, 142, 156, 135)(125, 143, 137, 160, 158, 128)(127, 146, 139, 150, 148, 130)(163, 165, 176, 190, 188, 168)(164, 171, 196, 183, 199, 173)(166, 177, 204, 215, 211, 181)(167, 182, 193, 170, 191, 184)(169, 179, 206, 216, 214, 189)(172, 197, 203, 209, 212, 186)(174, 175, 202, 213, 208, 200)(178, 198, 192, 201, 210, 180)(185, 207, 205, 194, 195, 187)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.861
Graph:: simple bipartite
	v = 36 e = 108 f = 18
	degree seq :: [ 6^36 ]

E28.840 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 6, 6})
Quotient :: edge^2
Aut^+ = C2 x ((C3 x C3) : C3) (small group id <54, 10>)
Aut   = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2, Y3^3, R * Y2 * R * Y1, (R * Y3)^2, Y2^6, Y1^6, Y1 * Y3^-1 * Y2^2 * Y3^-1 * Y2^-1 * Y3^-1, Y1^2 * Y3 * Y2 * Y3 * Y1^-1 * Y3, Y1^2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1, Y1 * Y3 * Y2^2 * Y3 * Y2^-1 * Y3, Y1 * Y3^-1 * Y2 * Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1, Y3 * Y2 * Y3^-1 * Y1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y2 * Y3 * Y1 * Y3^-1 * Y2^-1 * Y3 * Y1^-1, Y2^2 * Y3 * Y2 * Y1^-2 * Y3^-1 * Y1^-1, (Y1^-1, Y3^-1, Y1^-1), (Y2^-1, Y3^-1, Y2^-1) ]
Map:: non-degenerate
	R = (1, 55, 4, 58, 5, 59)(2, 56, 7, 61, 8, 62)(3, 57, 10, 64, 11, 65)(6, 60, 17, 71, 18, 72)(9, 63, 23, 77, 24, 78)(12, 66, 30, 84, 31, 85)(13, 67, 33, 87, 34, 88)(14, 68, 36, 90, 37, 91)(15, 69, 39, 93, 40, 94)(16, 70, 41, 95, 42, 96)(19, 73, 35, 89, 46, 100)(20, 74, 27, 81, 47, 101)(21, 75, 49, 103, 29, 83)(22, 76, 50, 104, 25, 79)(26, 80, 38, 92, 51, 105)(28, 82, 52, 106, 32, 86)(43, 97, 48, 102, 53, 107)(44, 98, 54, 108, 45, 99)(109, 110, 114, 124, 117, 111)(112, 120, 137, 149, 140, 121)(113, 122, 143, 150, 146, 123)(115, 127, 153, 131, 148, 128)(116, 129, 156, 132, 141, 130)(118, 133, 145, 125, 151, 134)(119, 135, 138, 126, 152, 136)(139, 154, 161, 160, 147, 158)(142, 155, 144, 157, 162, 159)(163, 165, 171, 178, 168, 164)(166, 175, 194, 203, 191, 174)(167, 177, 200, 204, 197, 176)(169, 182, 202, 185, 207, 181)(170, 184, 195, 186, 210, 183)(172, 188, 205, 179, 199, 187)(173, 190, 206, 180, 192, 189)(193, 212, 201, 214, 215, 208)(196, 213, 216, 211, 198, 209)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.860
Graph:: simple bipartite
	v = 36 e = 108 f = 18
	degree seq :: [ 6^36 ]

E28.841 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 6, 6})
Quotient :: edge^2
Aut^+ = C2 x ((C3 x C3) : C3) (small group id <54, 10>)
Aut   = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1 * Y3, Y3^3, R * Y1 * R * Y2, (R * Y3)^2, Y1^-2 * Y3 * Y2^-2, Y3 * Y2^-2 * Y1^-2, Y1^2 * Y2^2 * Y3^-1, Y3 * Y2^-2 * Y1^-2, Y2^6, (Y2 * Y1^-1)^3, Y2^-1 * Y1^3 * Y2^-2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y2 * Y1^-1, (Y1^-1 * Y3^-1 * Y2^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 55, 4, 58, 7, 61)(2, 56, 6, 60, 11, 65)(3, 57, 13, 67, 15, 69)(5, 59, 20, 74, 22, 76)(8, 62, 10, 64, 30, 84)(9, 63, 31, 85, 33, 87)(12, 66, 39, 93, 21, 75)(14, 68, 42, 96, 44, 98)(16, 70, 18, 72, 47, 101)(17, 71, 32, 86, 49, 103)(19, 73, 41, 95, 48, 102)(23, 77, 25, 79, 52, 106)(24, 78, 45, 99, 51, 105)(26, 80, 27, 81, 35, 89)(28, 82, 29, 83, 43, 97)(34, 88, 36, 90, 54, 108)(37, 91, 38, 92, 46, 100)(40, 94, 50, 104, 53, 107)(109, 110, 116, 136, 129, 113)(111, 115, 134, 133, 151, 122)(112, 124, 154, 137, 156, 125)(114, 131, 148, 120, 123, 132)(117, 119, 145, 144, 147, 140)(118, 142, 152, 128, 141, 143)(121, 139, 155, 160, 162, 149)(126, 138, 158, 127, 130, 153)(135, 146, 161, 150, 157, 159)(163, 165, 174, 190, 187, 168)(164, 171, 182, 183, 198, 172)(166, 167, 181, 191, 170, 180)(169, 179, 204, 205, 208, 189)(173, 186, 211, 201, 202, 200)(175, 176, 196, 214, 188, 195)(177, 203, 212, 185, 209, 207)(178, 193, 194, 210, 216, 199)(184, 206, 215, 192, 197, 213)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.859
Graph:: simple bipartite
	v = 36 e = 108 f = 18
	degree seq :: [ 6^36 ]

E28.842 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 6, 6})
Quotient :: edge^2
Aut^+ = C2 x ((C3 x C3) : C3) (small group id <54, 10>)
Aut   = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1 * Y3, Y3^3, R * Y1 * R * Y2, (R * Y3)^2, Y2^2 * Y1^2 * Y3, Y3 * Y2^2 * Y1^2, Y1^2 * Y3 * Y2^2, Y2 * Y1^2 * Y3 * Y2, Y3 * Y1^-1 * Y3^-1 * Y2 * Y1 * Y2^-1, Y1^-1 * Y2^-1 * Y3 * Y2 * Y1 * Y3^-1, (Y1 * Y2^-1)^3, Y1^3 * Y2^-3, Y2^6 ]
Map:: non-degenerate
	R = (1, 55, 4, 58, 7, 61)(2, 56, 9, 63, 11, 65)(3, 57, 14, 68, 5, 59)(6, 60, 23, 77, 25, 79)(8, 62, 24, 78, 30, 84)(10, 64, 34, 88, 36, 90)(12, 66, 38, 92, 37, 91)(13, 67, 40, 94, 15, 69)(16, 70, 46, 100, 39, 93)(17, 71, 45, 99, 18, 72)(19, 73, 48, 102, 20, 74)(21, 75, 50, 104, 32, 86)(22, 76, 47, 101, 31, 85)(26, 80, 51, 105, 27, 81)(28, 82, 35, 89, 41, 95)(29, 83, 53, 107, 52, 106)(33, 87, 54, 108, 44, 98)(42, 96, 49, 103, 43, 97)(109, 110, 116, 136, 128, 113)(111, 120, 133, 132, 152, 123)(112, 124, 144, 143, 157, 126)(114, 130, 149, 121, 135, 115)(117, 139, 160, 127, 159, 140)(118, 141, 156, 125, 146, 119)(122, 129, 154, 138, 137, 151)(131, 142, 161, 148, 153, 158)(134, 145, 147, 155, 162, 150)(163, 165, 175, 190, 186, 168)(164, 166, 179, 182, 197, 172)(167, 181, 191, 170, 171, 183)(169, 188, 211, 203, 209, 178)(173, 199, 213, 210, 216, 193)(174, 176, 204, 206, 192, 201)(177, 195, 196, 187, 200, 207)(180, 205, 215, 198, 208, 212)(184, 185, 194, 189, 202, 214)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.862
Graph:: simple bipartite
	v = 36 e = 108 f = 18
	degree seq :: [ 6^36 ]

E28.843 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 6, 6})
Quotient :: edge^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, Y3^3, (R * Y3)^2, R * Y2 * R * Y1, Y2^6, Y1^6, Y1 * Y3 * Y2^2 * Y3 * Y2^-1 * Y3^-1, Y1^2 * Y3^-1 * Y2 * Y3 * Y1^-1 * Y3^-1, Y1 * Y3^-1 * Y2^2 * Y3^-1 * Y2^-1 * Y3, Y1^2 * Y3 * Y2 * Y3^-1 * Y1^-1 * Y3, Y3 * Y2 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1, Y2^2 * Y3 * Y2 * Y1^-2 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 55, 4, 58, 5, 59)(2, 56, 7, 61, 8, 62)(3, 57, 10, 64, 11, 65)(6, 60, 17, 71, 18, 72)(9, 63, 23, 77, 24, 78)(12, 66, 30, 84, 31, 85)(13, 67, 33, 87, 34, 88)(14, 68, 36, 90, 37, 91)(15, 69, 39, 93, 40, 94)(16, 70, 41, 95, 42, 96)(19, 73, 46, 100, 29, 83)(20, 74, 47, 101, 27, 81)(21, 75, 35, 89, 49, 103)(22, 76, 25, 79, 50, 104)(26, 80, 51, 105, 32, 86)(28, 82, 38, 92, 52, 106)(43, 97, 53, 107, 45, 99)(44, 98, 48, 102, 54, 108)(109, 110, 114, 124, 117, 111)(112, 120, 137, 150, 140, 121)(113, 122, 143, 149, 146, 123)(115, 127, 153, 132, 142, 128)(116, 129, 156, 131, 147, 130)(118, 133, 139, 126, 152, 134)(119, 135, 144, 125, 151, 136)(138, 157, 161, 159, 148, 155)(141, 158, 145, 154, 162, 160)(163, 165, 171, 178, 168, 164)(166, 175, 194, 204, 191, 174)(167, 177, 200, 203, 197, 176)(169, 182, 196, 186, 207, 181)(170, 184, 201, 185, 210, 183)(172, 188, 206, 180, 193, 187)(173, 190, 205, 179, 198, 189)(192, 209, 202, 213, 215, 211)(195, 214, 216, 208, 199, 212)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.863
Graph:: simple bipartite
	v = 36 e = 108 f = 18
	degree seq :: [ 6^36 ]

E28.844 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 6, 6})
Quotient :: edge^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2 * Y3 * Y1 * Y3, (R * Y3)^2, Y2^-1 * Y1^-2 * Y2^-1, R * Y1 * R * Y2, (Y2 * Y1^-1)^3, Y2^6, Y2^-1 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y1^-1, Y2^-2 * Y1^4, Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y1^-1 * Y2^-1 * Y1 * Y3 * Y1^-1, Y2 * Y3^-1 * Y2 * Y1 * Y2^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 55, 4, 58, 7, 61)(2, 56, 10, 64, 12, 66)(3, 57, 15, 69, 17, 71)(5, 59, 23, 77, 19, 73)(6, 60, 25, 79, 18, 72)(8, 62, 29, 83, 31, 85)(9, 63, 33, 87, 35, 89)(11, 65, 40, 94, 36, 90)(13, 67, 42, 96, 37, 91)(14, 68, 43, 97, 44, 98)(16, 70, 47, 101, 45, 99)(20, 74, 34, 88, 27, 81)(21, 75, 32, 86, 26, 80)(22, 76, 48, 102, 46, 100)(24, 78, 41, 95, 38, 92)(28, 82, 49, 103, 50, 104)(30, 84, 53, 107, 51, 105)(39, 93, 54, 108, 52, 106)(109, 110, 116, 136, 122, 113)(111, 121, 114, 132, 138, 124)(112, 126, 148, 158, 155, 128)(115, 134, 146, 157, 154, 123)(117, 140, 119, 147, 130, 142)(118, 144, 161, 152, 135, 145)(120, 149, 160, 151, 125, 141)(127, 150, 129, 137, 159, 156)(131, 143, 133, 139, 162, 153)(163, 165, 176, 192, 170, 168)(164, 171, 167, 184, 190, 173)(166, 181, 209, 213, 202, 183)(169, 189, 208, 215, 200, 172)(174, 204, 179, 210, 214, 191)(175, 196, 178, 201, 186, 194)(177, 207, 211, 193, 188, 197)(180, 195, 182, 205, 212, 203)(185, 206, 216, 198, 187, 199)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.864
Graph:: simple bipartite
	v = 36 e = 108 f = 18
	degree seq :: [ 6^36 ]

E28.845 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 6, 6})
Quotient :: edge^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^-1 * Y3 * Y2^-1 * Y3, Y2^2 * Y1^2, R * Y1 * R * Y2, (R * Y3)^2, Y1^-1 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y3^-1, Y2^6, Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1, Y2^-2 * Y1^4, Y2^-1 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-1, Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1, (Y2 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 55, 4, 58, 7, 61)(2, 56, 10, 64, 12, 66)(3, 57, 15, 69, 17, 71)(5, 59, 21, 75, 22, 76)(6, 60, 24, 78, 25, 79)(8, 62, 29, 83, 31, 85)(9, 63, 33, 87, 35, 89)(11, 65, 39, 93, 40, 94)(13, 67, 41, 95, 37, 91)(14, 68, 43, 97, 44, 98)(16, 70, 46, 100, 47, 101)(18, 72, 32, 86, 27, 81)(19, 73, 34, 88, 26, 80)(20, 74, 48, 102, 45, 99)(23, 77, 42, 96, 36, 90)(28, 82, 49, 103, 50, 104)(30, 84, 52, 106, 53, 107)(38, 92, 54, 108, 51, 105)(109, 110, 116, 136, 122, 113)(111, 121, 114, 131, 138, 124)(112, 126, 150, 158, 156, 125)(115, 132, 148, 157, 155, 134)(117, 140, 119, 146, 128, 142)(118, 144, 162, 152, 123, 143)(120, 147, 161, 151, 127, 149)(129, 145, 135, 139, 160, 153)(130, 141, 133, 137, 159, 154)(163, 165, 176, 192, 170, 168)(164, 171, 167, 182, 190, 173)(166, 181, 210, 215, 204, 174)(169, 183, 209, 214, 202, 189)(172, 199, 177, 207, 216, 193)(175, 196, 178, 200, 185, 194)(179, 208, 212, 191, 180, 195)(184, 205, 213, 201, 187, 203)(186, 197, 188, 206, 211, 198)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.865
Graph:: simple bipartite
	v = 36 e = 108 f = 18
	degree seq :: [ 6^36 ]

E28.846 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 6, 6})
Quotient :: loop^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2, Y2^2 * Y1^-1, Y1^3, R * Y2 * R * Y1, (R * Y3)^2, Y3^6, Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3^-2, Y2 * Y3^2 * Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1, Y1 * Y3 * Y2 * Y3^-2 * Y1^-1 * Y3, Y1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3^2, Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 55, 109, 163, 4, 58, 112, 166, 12, 66, 120, 174, 34, 88, 142, 196, 15, 69, 123, 177, 5, 59, 113, 167)(2, 56, 110, 164, 6, 60, 114, 168, 18, 72, 126, 180, 44, 98, 152, 206, 21, 75, 129, 183, 7, 61, 115, 169)(3, 57, 111, 165, 8, 62, 116, 170, 24, 78, 132, 186, 48, 102, 156, 210, 27, 81, 135, 189, 9, 63, 117, 171)(10, 64, 118, 172, 28, 82, 136, 190, 49, 103, 157, 211, 40, 94, 148, 202, 20, 74, 128, 182, 29, 83, 137, 191)(11, 65, 119, 173, 30, 84, 138, 192, 50, 104, 158, 212, 39, 93, 147, 201, 25, 79, 133, 187, 31, 85, 139, 193)(13, 67, 121, 175, 35, 89, 143, 197, 17, 71, 125, 179, 33, 87, 141, 195, 52, 106, 160, 214, 36, 90, 144, 198)(14, 68, 122, 176, 37, 91, 145, 199, 22, 76, 130, 184, 32, 86, 140, 194, 51, 105, 159, 213, 38, 92, 146, 200)(16, 70, 124, 178, 41, 95, 149, 203, 53, 107, 161, 215, 47, 101, 155, 209, 26, 80, 134, 188, 42, 96, 150, 204)(19, 73, 127, 181, 45, 99, 153, 207, 23, 77, 131, 185, 43, 97, 151, 205, 54, 108, 162, 216, 46, 100, 154, 208)
	L = (1, 56)(2, 57)(3, 55)(4, 64)(5, 67)(6, 70)(7, 73)(8, 76)(9, 79)(10, 65)(11, 58)(12, 86)(13, 68)(14, 59)(15, 93)(16, 71)(17, 60)(18, 82)(19, 74)(20, 61)(21, 90)(22, 77)(23, 62)(24, 95)(25, 80)(26, 63)(27, 100)(28, 97)(29, 96)(30, 78)(31, 89)(32, 87)(33, 66)(34, 102)(35, 99)(36, 101)(37, 83)(38, 81)(39, 94)(40, 69)(41, 84)(42, 91)(43, 72)(44, 88)(45, 85)(46, 92)(47, 75)(48, 98)(49, 105)(50, 108)(51, 107)(52, 104)(53, 103)(54, 106)(109, 165)(110, 163)(111, 164)(112, 173)(113, 176)(114, 179)(115, 182)(116, 185)(117, 188)(118, 166)(119, 172)(120, 195)(121, 167)(122, 175)(123, 202)(124, 168)(125, 178)(126, 205)(127, 169)(128, 181)(129, 209)(130, 170)(131, 184)(132, 192)(133, 171)(134, 187)(135, 200)(136, 180)(137, 199)(138, 203)(139, 207)(140, 174)(141, 194)(142, 206)(143, 193)(144, 183)(145, 204)(146, 208)(147, 177)(148, 201)(149, 186)(150, 191)(151, 190)(152, 210)(153, 197)(154, 189)(155, 198)(156, 196)(157, 215)(158, 214)(159, 211)(160, 216)(161, 213)(162, 212)
	local type(s) :: { ( 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.826
Transitivity :: VT+
Graph::
	v = 9 e = 108 f = 45
	degree seq :: [ 24^9 ]

E28.847 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 6, 6})
Quotient :: loop^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3, (Y2^-1, Y1^-1), (R * Y3)^2, R * Y2 * R * Y1, Y3^-1 * Y1^-1 * Y3 * Y2, Y2 * Y1^-1 * Y3 * Y1 * Y3^-1, Y3^6, Y3^-1 * Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 55, 109, 163, 4, 58, 112, 166, 16, 70, 124, 178, 36, 90, 144, 198, 25, 79, 133, 187, 7, 61, 115, 169)(2, 56, 110, 164, 9, 63, 117, 171, 29, 83, 137, 191, 46, 100, 154, 208, 31, 85, 139, 193, 11, 65, 119, 173)(3, 57, 111, 165, 12, 66, 120, 174, 32, 86, 140, 194, 48, 102, 156, 210, 33, 87, 141, 195, 14, 68, 122, 176)(5, 59, 113, 167, 18, 72, 126, 180, 38, 92, 146, 200, 51, 105, 159, 213, 39, 93, 147, 201, 20, 74, 128, 182)(6, 60, 114, 168, 21, 75, 129, 183, 35, 89, 143, 197, 50, 104, 158, 212, 40, 94, 148, 202, 22, 76, 130, 184)(8, 62, 116, 170, 26, 80, 134, 188, 43, 97, 151, 205, 53, 107, 161, 215, 44, 98, 152, 206, 27, 81, 135, 189)(10, 64, 118, 172, 15, 69, 123, 177, 34, 88, 142, 196, 49, 103, 157, 211, 42, 96, 150, 204, 24, 78, 132, 186)(13, 67, 121, 175, 17, 71, 125, 179, 37, 91, 145, 199, 52, 106, 160, 214, 41, 95, 149, 203, 23, 77, 131, 185)(19, 73, 127, 181, 28, 82, 136, 190, 45, 99, 153, 207, 54, 108, 162, 216, 47, 101, 155, 209, 30, 84, 138, 192)
	L = (1, 56)(2, 59)(3, 62)(4, 69)(5, 55)(6, 64)(7, 68)(8, 67)(9, 82)(10, 73)(11, 81)(12, 63)(13, 57)(14, 76)(15, 71)(16, 89)(17, 58)(18, 75)(19, 60)(20, 77)(21, 80)(22, 61)(23, 84)(24, 65)(25, 95)(26, 72)(27, 78)(28, 66)(29, 88)(30, 74)(31, 87)(32, 70)(33, 101)(34, 97)(35, 86)(36, 105)(37, 92)(38, 99)(39, 98)(40, 93)(41, 96)(42, 79)(43, 83)(44, 94)(45, 91)(46, 90)(47, 85)(48, 106)(49, 104)(50, 108)(51, 100)(52, 107)(53, 102)(54, 103)(109, 165)(110, 170)(111, 168)(112, 171)(113, 175)(114, 163)(115, 185)(116, 172)(117, 180)(118, 164)(119, 176)(120, 188)(121, 181)(122, 192)(123, 190)(124, 196)(125, 174)(126, 166)(127, 167)(128, 189)(129, 177)(130, 182)(131, 186)(132, 169)(133, 201)(134, 179)(135, 184)(136, 183)(137, 207)(138, 173)(139, 187)(140, 191)(141, 203)(142, 199)(143, 205)(144, 212)(145, 178)(146, 197)(147, 193)(148, 209)(149, 206)(150, 202)(151, 200)(152, 195)(153, 194)(154, 211)(155, 204)(156, 198)(157, 215)(158, 210)(159, 216)(160, 213)(161, 208)(162, 214)
	local type(s) :: { ( 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.827
Transitivity :: VT+
Graph::
	v = 9 e = 108 f = 45
	degree seq :: [ 24^9 ]

E28.848 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 6, 6})
Quotient :: loop^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3, Y1^3, (R * Y3)^2, R * Y1 * R * Y2, (Y2, Y1), Y3^-1 * Y2^-1 * Y3 * Y1, Y3^-1 * Y1 * Y2^-1 * Y3 * Y2, Y1^-1 * Y3^-1 * Y1 * Y3 * Y2, Y3^6, Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 55, 109, 163, 4, 58, 112, 166, 16, 70, 124, 178, 36, 90, 144, 198, 25, 79, 133, 187, 7, 61, 115, 169)(2, 56, 110, 164, 9, 63, 117, 171, 28, 82, 136, 190, 45, 99, 153, 207, 31, 85, 139, 193, 11, 65, 119, 173)(3, 57, 111, 165, 12, 66, 120, 174, 32, 86, 140, 194, 48, 102, 156, 210, 33, 87, 141, 195, 14, 68, 122, 176)(5, 59, 113, 167, 19, 73, 127, 181, 35, 89, 143, 197, 50, 104, 158, 212, 39, 93, 147, 201, 21, 75, 129, 183)(6, 60, 114, 168, 17, 71, 125, 179, 38, 92, 146, 200, 51, 105, 159, 213, 40, 94, 148, 202, 22, 76, 130, 184)(8, 62, 116, 170, 26, 80, 134, 188, 43, 97, 151, 205, 53, 107, 161, 215, 44, 98, 152, 206, 27, 81, 135, 189)(10, 64, 118, 172, 18, 72, 126, 180, 37, 91, 145, 199, 52, 106, 160, 214, 41, 95, 149, 203, 23, 77, 131, 185)(13, 67, 121, 175, 15, 69, 123, 177, 34, 88, 142, 196, 49, 103, 157, 211, 42, 96, 150, 204, 24, 78, 132, 186)(20, 74, 128, 182, 29, 83, 137, 191, 46, 100, 154, 208, 54, 108, 162, 216, 47, 101, 155, 209, 30, 84, 138, 192)
	L = (1, 56)(2, 59)(3, 62)(4, 66)(5, 55)(6, 64)(7, 77)(8, 67)(9, 80)(10, 74)(11, 84)(12, 71)(13, 57)(14, 65)(15, 83)(16, 88)(17, 58)(18, 63)(19, 69)(20, 60)(21, 76)(22, 81)(23, 78)(24, 61)(25, 94)(26, 72)(27, 75)(28, 86)(29, 73)(30, 68)(31, 95)(32, 100)(33, 79)(34, 91)(35, 97)(36, 104)(37, 70)(38, 89)(39, 101)(40, 87)(41, 98)(42, 93)(43, 92)(44, 85)(45, 90)(46, 82)(47, 96)(48, 103)(49, 107)(50, 99)(51, 108)(52, 105)(53, 102)(54, 106)(109, 165)(110, 170)(111, 168)(112, 177)(113, 175)(114, 163)(115, 173)(116, 172)(117, 174)(118, 164)(119, 183)(120, 191)(121, 182)(122, 189)(123, 180)(124, 197)(125, 181)(126, 166)(127, 188)(128, 167)(129, 169)(130, 185)(131, 192)(132, 176)(133, 203)(134, 179)(135, 186)(136, 178)(137, 171)(138, 184)(139, 209)(140, 196)(141, 193)(142, 205)(143, 190)(144, 213)(145, 200)(146, 208)(147, 202)(148, 206)(149, 204)(150, 187)(151, 194)(152, 201)(153, 214)(154, 199)(155, 195)(156, 198)(157, 212)(158, 216)(159, 210)(160, 215)(161, 207)(162, 211)
	local type(s) :: { ( 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.828
Transitivity :: VT+
Graph::
	v = 9 e = 108 f = 45
	degree seq :: [ 24^9 ]

E28.849 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 6, 6})
Quotient :: loop^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, (Y3^-1 * Y1^-1)^2, Y3 * Y1 * Y3^-1 * Y2^-1, (R * Y3)^2, R * Y1 * R * Y2, Y1 * Y2 * Y3^2, (Y1 * Y3)^2, (Y3 * Y2^-1 * Y1^-1)^2, (Y1^-1 * Y2^-1)^3, (Y2 * Y1^-1)^3, Y1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2 * Y3^-1 * Y2, Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y1^-1 * Y2^-1, Y2 * Y1^-1 * Y3 * Y2 * Y3^-1 * Y1 * Y3^2 ]
Map:: non-degenerate
	R = (1, 55, 109, 163, 4, 58, 112, 166, 17, 71, 125, 179, 27, 81, 135, 189, 8, 62, 116, 170, 7, 61, 115, 169)(2, 56, 110, 164, 9, 63, 117, 171, 29, 83, 137, 191, 47, 101, 155, 209, 20, 74, 128, 182, 11, 65, 119, 173)(3, 57, 111, 165, 13, 67, 121, 175, 5, 59, 113, 167, 21, 75, 129, 183, 33, 87, 141, 195, 15, 69, 123, 177)(6, 60, 114, 168, 18, 72, 126, 180, 14, 68, 122, 176, 37, 91, 145, 199, 42, 96, 150, 204, 16, 70, 124, 178)(10, 64, 118, 172, 24, 78, 132, 186, 26, 80, 134, 188, 51, 105, 159, 213, 38, 92, 146, 200, 28, 82, 136, 190)(12, 66, 120, 174, 34, 88, 142, 196, 53, 107, 161, 215, 30, 84, 138, 192, 31, 85, 139, 193, 36, 90, 144, 198)(19, 73, 127, 181, 23, 77, 131, 185, 41, 95, 149, 203, 45, 99, 153, 207, 54, 108, 162, 216, 43, 97, 151, 205)(22, 76, 130, 184, 32, 86, 140, 194, 46, 100, 154, 208, 40, 94, 148, 202, 52, 106, 160, 214, 48, 102, 156, 210)(25, 79, 133, 187, 44, 98, 152, 206, 35, 89, 143, 197, 39, 93, 147, 201, 49, 103, 157, 211, 50, 104, 158, 212)
	L = (1, 56)(2, 59)(3, 66)(4, 67)(5, 55)(6, 77)(7, 78)(8, 79)(9, 61)(10, 85)(11, 86)(12, 68)(13, 72)(14, 57)(15, 93)(16, 94)(17, 60)(18, 58)(19, 98)(20, 99)(21, 65)(22, 103)(23, 71)(24, 63)(25, 80)(26, 62)(27, 73)(28, 91)(29, 64)(30, 108)(31, 83)(32, 75)(33, 76)(34, 69)(35, 97)(36, 82)(37, 90)(38, 106)(39, 88)(40, 95)(41, 70)(42, 92)(43, 107)(44, 81)(45, 100)(46, 74)(47, 84)(48, 105)(49, 87)(50, 102)(51, 104)(52, 96)(53, 89)(54, 101)(109, 165)(110, 170)(111, 168)(112, 178)(113, 182)(114, 163)(115, 173)(116, 172)(117, 190)(118, 164)(119, 175)(120, 195)(121, 169)(122, 193)(123, 198)(124, 181)(125, 205)(126, 177)(127, 166)(128, 184)(129, 210)(130, 167)(131, 204)(132, 189)(133, 179)(134, 211)(135, 212)(136, 192)(137, 215)(138, 171)(139, 200)(140, 209)(141, 197)(142, 206)(143, 174)(144, 180)(145, 213)(146, 176)(147, 183)(148, 199)(149, 194)(150, 208)(151, 187)(152, 216)(153, 191)(154, 185)(155, 203)(156, 201)(157, 214)(158, 186)(159, 202)(160, 188)(161, 207)(162, 196)
	local type(s) :: { ( 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.829
Transitivity :: VT+
Graph::
	v = 9 e = 108 f = 45
	degree seq :: [ 24^9 ]

E28.850 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 6, 6})
Quotient :: loop^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, R * Y1 * R * Y2, (Y3^-1 * Y1^-1)^2, (Y3^-1 * Y2^-1)^2, (R * Y3)^2, Y3^-1 * Y1 * Y2^-1 * Y1 * Y3^-1, Y2^-1 * Y3^2 * Y2^-1 * Y1, Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y2, (Y1^-1 * Y3 * Y2^-1)^2, Y3^6, Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y1, (Y2^-1 * Y1^-1)^3, Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y2^-1 * Y1^-1 * Y3 * Y2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 55, 109, 163, 4, 58, 112, 166, 18, 72, 126, 180, 50, 104, 158, 212, 29, 83, 137, 191, 7, 61, 115, 169)(2, 56, 110, 164, 9, 63, 117, 171, 35, 89, 143, 197, 43, 97, 151, 205, 14, 68, 122, 176, 11, 65, 119, 173)(3, 57, 111, 165, 13, 67, 121, 175, 44, 98, 152, 206, 34, 88, 142, 196, 10, 64, 118, 172, 15, 69, 123, 177)(5, 59, 113, 167, 22, 76, 130, 184, 24, 78, 132, 186, 49, 103, 157, 211, 32, 86, 140, 194, 16, 70, 124, 178)(6, 60, 114, 168, 25, 79, 133, 187, 21, 75, 129, 183, 48, 102, 156, 210, 42, 96, 150, 204, 17, 71, 125, 179)(8, 62, 116, 170, 31, 85, 139, 193, 53, 107, 161, 215, 45, 99, 153, 207, 23, 77, 131, 185, 33, 87, 141, 195)(12, 66, 120, 174, 41, 95, 149, 203, 54, 108, 162, 216, 36, 90, 144, 198, 26, 80, 134, 188, 38, 92, 146, 200)(19, 73, 127, 181, 30, 84, 138, 192, 28, 82, 136, 190, 52, 106, 160, 214, 47, 101, 155, 209, 37, 91, 145, 199)(20, 74, 128, 182, 40, 94, 148, 202, 27, 81, 135, 189, 51, 105, 159, 213, 39, 93, 147, 201, 46, 100, 154, 208)
	L = (1, 56)(2, 59)(3, 66)(4, 70)(5, 55)(6, 78)(7, 81)(8, 84)(9, 61)(10, 72)(11, 92)(12, 68)(13, 97)(14, 57)(15, 101)(16, 73)(17, 85)(18, 91)(19, 58)(20, 82)(21, 105)(22, 65)(23, 89)(24, 80)(25, 90)(26, 60)(27, 63)(28, 87)(29, 75)(30, 86)(31, 103)(32, 62)(33, 74)(34, 102)(35, 94)(36, 93)(37, 64)(38, 76)(39, 79)(40, 77)(41, 69)(42, 98)(43, 99)(44, 107)(45, 67)(46, 108)(47, 95)(48, 104)(49, 71)(50, 88)(51, 83)(52, 100)(53, 96)(54, 106)(109, 165)(110, 170)(111, 168)(112, 179)(113, 183)(114, 163)(115, 190)(116, 172)(117, 196)(118, 164)(119, 201)(120, 202)(121, 169)(122, 180)(123, 195)(124, 203)(125, 182)(126, 208)(127, 189)(128, 166)(129, 185)(130, 207)(131, 167)(132, 214)(133, 177)(134, 206)(135, 200)(136, 175)(137, 186)(138, 188)(139, 173)(140, 197)(141, 187)(142, 198)(143, 216)(144, 171)(145, 215)(146, 181)(147, 193)(148, 204)(149, 210)(150, 174)(151, 211)(152, 192)(153, 209)(154, 176)(155, 184)(156, 178)(157, 212)(158, 205)(159, 199)(160, 191)(161, 213)(162, 194)
	local type(s) :: { ( 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.831
Transitivity :: VT+
Graph::
	v = 9 e = 108 f = 45
	degree seq :: [ 24^9 ]

E28.851 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 6, 6})
Quotient :: loop^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, Y3^-1 * Y1 * Y3 * Y2^-1, (Y3 * Y2)^2, R * Y1 * R * Y2, (R * Y3)^2, Y1^-1 * Y2^-1 * Y3^-2, Y1 * Y3^-1 * Y1^-1 * Y2 * Y3^-1, Y3^-2 * Y2 * Y1 * Y3^-2, (Y1 * Y2^-1)^3, Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3^2 * Y2^-1 * Y1^-1, Y3^-2 * Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 55, 109, 163, 4, 58, 112, 166, 17, 71, 125, 179, 35, 89, 143, 197, 12, 66, 120, 174, 7, 61, 115, 169)(2, 56, 110, 164, 9, 63, 117, 171, 6, 60, 114, 168, 22, 76, 130, 184, 25, 79, 133, 187, 11, 65, 119, 173)(3, 57, 111, 165, 13, 67, 121, 175, 37, 91, 145, 199, 47, 101, 155, 209, 21, 75, 129, 183, 15, 69, 123, 177)(5, 59, 113, 167, 19, 73, 127, 181, 10, 64, 118, 172, 30, 84, 138, 192, 42, 96, 150, 204, 16, 70, 124, 178)(8, 62, 116, 170, 26, 80, 134, 188, 51, 105, 159, 213, 38, 92, 146, 200, 29, 83, 137, 191, 28, 82, 136, 190)(14, 68, 122, 176, 24, 78, 132, 186, 34, 88, 142, 196, 53, 107, 161, 215, 31, 85, 139, 193, 36, 90, 144, 198)(18, 72, 126, 180, 20, 74, 128, 182, 41, 95, 149, 203, 46, 100, 154, 208, 52, 106, 160, 214, 43, 97, 151, 205)(23, 77, 131, 185, 39, 93, 147, 201, 45, 99, 153, 207, 40, 94, 148, 202, 54, 108, 162, 216, 48, 102, 156, 210)(27, 81, 135, 189, 32, 86, 140, 194, 49, 103, 157, 211, 50, 104, 158, 212, 33, 87, 141, 195, 44, 98, 152, 206)
	L = (1, 56)(2, 59)(3, 66)(4, 70)(5, 55)(6, 75)(7, 69)(8, 79)(9, 61)(10, 83)(11, 82)(12, 68)(13, 90)(14, 57)(15, 63)(16, 72)(17, 97)(18, 58)(19, 65)(20, 96)(21, 77)(22, 102)(23, 60)(24, 89)(25, 81)(26, 98)(27, 62)(28, 73)(29, 85)(30, 107)(31, 64)(32, 76)(33, 71)(34, 103)(35, 104)(36, 92)(37, 105)(38, 67)(39, 101)(40, 84)(41, 93)(42, 99)(43, 87)(44, 106)(45, 74)(46, 91)(47, 95)(48, 86)(49, 108)(50, 78)(51, 100)(52, 80)(53, 94)(54, 88)(109, 165)(110, 170)(111, 168)(112, 171)(113, 182)(114, 163)(115, 186)(116, 172)(117, 181)(118, 164)(119, 194)(120, 195)(121, 169)(122, 191)(123, 201)(124, 202)(125, 167)(126, 206)(127, 166)(128, 179)(129, 208)(130, 177)(131, 211)(132, 175)(133, 185)(134, 173)(135, 205)(136, 198)(137, 199)(138, 190)(139, 216)(140, 188)(141, 196)(142, 174)(143, 180)(144, 192)(145, 176)(146, 214)(147, 184)(148, 203)(149, 178)(150, 193)(151, 213)(152, 197)(153, 183)(154, 207)(155, 200)(156, 215)(157, 187)(158, 210)(159, 189)(160, 209)(161, 212)(162, 204)
	local type(s) :: { ( 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.830
Transitivity :: VT+
Graph::
	v = 9 e = 108 f = 45
	degree seq :: [ 24^9 ]

E28.852 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 6, 6})
Quotient :: loop^2
Aut^+ = C2 x ((C3 x C3) : C3) (small group id <54, 10>)
Aut   = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, (Y3, Y1^-1), (Y3^-1, Y2^-1), (R * Y3)^2, R * Y1 * R * Y2, Y3^-2 * Y1 * Y2^-1 * Y1^-1 * Y2, (Y1 * Y2^-1)^3, Y2^-1 * Y3 * Y1 * Y3 * Y2 * Y1^-1, (Y1 * Y2)^3, Y3^6 ]
Map:: non-degenerate
	R = (1, 55, 109, 163, 4, 58, 112, 166, 16, 70, 124, 178, 42, 96, 150, 204, 25, 79, 133, 187, 7, 61, 115, 169)(2, 56, 110, 164, 9, 63, 117, 171, 30, 84, 138, 192, 52, 106, 160, 214, 35, 89, 143, 197, 11, 65, 119, 173)(3, 57, 111, 165, 13, 67, 121, 175, 38, 92, 146, 200, 51, 105, 159, 213, 28, 82, 136, 190, 15, 69, 123, 177)(5, 59, 113, 167, 17, 71, 125, 179, 43, 97, 151, 205, 54, 108, 162, 216, 40, 94, 148, 202, 21, 75, 129, 183)(6, 60, 114, 168, 18, 72, 126, 180, 33, 87, 141, 195, 53, 107, 161, 215, 48, 102, 156, 210, 24, 78, 132, 186)(8, 62, 116, 170, 27, 81, 135, 189, 12, 66, 120, 174, 37, 91, 145, 199, 47, 101, 155, 209, 29, 83, 137, 191)(10, 64, 118, 172, 31, 85, 139, 193, 36, 90, 144, 198, 50, 104, 158, 212, 22, 76, 130, 184, 34, 88, 142, 196)(14, 68, 122, 176, 39, 93, 147, 201, 19, 73, 127, 181, 44, 98, 152, 206, 26, 80, 134, 188, 41, 95, 149, 203)(20, 74, 128, 182, 45, 99, 153, 207, 23, 77, 131, 185, 46, 100, 154, 208, 32, 86, 140, 194, 49, 103, 157, 211)
	L = (1, 56)(2, 59)(3, 66)(4, 63)(5, 55)(6, 76)(7, 65)(8, 80)(9, 71)(10, 86)(11, 75)(12, 68)(13, 91)(14, 57)(15, 81)(16, 84)(17, 58)(18, 88)(19, 92)(20, 102)(21, 61)(22, 77)(23, 60)(24, 104)(25, 89)(26, 82)(27, 95)(28, 62)(29, 98)(30, 97)(31, 103)(32, 87)(33, 64)(34, 100)(35, 94)(36, 74)(37, 93)(38, 101)(39, 67)(40, 79)(41, 69)(42, 106)(43, 70)(44, 105)(45, 78)(46, 72)(47, 73)(48, 90)(49, 107)(50, 99)(51, 83)(52, 108)(53, 85)(54, 96)(109, 165)(110, 170)(111, 168)(112, 175)(113, 181)(114, 163)(115, 177)(116, 172)(117, 189)(118, 164)(119, 191)(120, 198)(121, 180)(122, 194)(123, 186)(124, 200)(125, 206)(126, 166)(127, 182)(128, 167)(129, 201)(130, 197)(131, 205)(132, 169)(133, 190)(134, 185)(135, 193)(136, 210)(137, 196)(138, 174)(139, 171)(140, 202)(141, 178)(142, 173)(143, 209)(144, 192)(145, 212)(146, 195)(147, 211)(148, 176)(149, 208)(150, 213)(151, 188)(152, 207)(153, 179)(154, 216)(155, 184)(156, 187)(157, 183)(158, 214)(159, 215)(160, 199)(161, 204)(162, 203)
	local type(s) :: { ( 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.834
Transitivity :: VT+
Graph::
	v = 9 e = 108 f = 45
	degree seq :: [ 24^9 ]

E28.853 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 6, 6})
Quotient :: loop^2
Aut^+ = C2 x ((C3 x C3) : C3) (small group id <54, 10>)
Aut   = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1, Y2 * Y1^-2, Y2^3, R * Y1 * R * Y2, (R * Y3)^2, Y3^6, Y2 * Y3^-2 * Y2 * Y3 * Y1^-1 * Y3, Y1 * Y3 * Y1 * Y3 * Y2^-1 * Y3^-2, Y1 * Y3 * Y1 * Y3^-2 * Y2^-1 * Y3, Y1 * Y3^2 * Y1 * Y3^-1 * Y2^-1 * Y3^-1, Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 55, 109, 163, 4, 58, 112, 166, 12, 66, 120, 174, 34, 88, 142, 196, 15, 69, 123, 177, 5, 59, 113, 167)(2, 56, 110, 164, 6, 60, 114, 168, 18, 72, 126, 180, 44, 98, 152, 206, 21, 75, 129, 183, 7, 61, 115, 169)(3, 57, 111, 165, 8, 62, 116, 170, 24, 78, 132, 186, 48, 102, 156, 210, 27, 81, 135, 189, 9, 63, 117, 171)(10, 64, 118, 172, 28, 82, 136, 190, 49, 103, 157, 211, 39, 93, 147, 201, 26, 80, 134, 188, 29, 83, 137, 191)(11, 65, 119, 173, 30, 84, 138, 192, 50, 104, 158, 212, 40, 94, 148, 202, 19, 73, 127, 181, 31, 85, 139, 193)(13, 67, 121, 175, 35, 89, 143, 197, 23, 77, 131, 185, 32, 86, 140, 194, 51, 105, 159, 213, 36, 90, 144, 198)(14, 68, 122, 176, 37, 91, 145, 199, 16, 70, 124, 178, 33, 87, 141, 195, 52, 106, 160, 214, 38, 92, 146, 200)(17, 71, 125, 179, 41, 95, 149, 203, 53, 107, 161, 215, 47, 101, 155, 209, 25, 79, 133, 187, 42, 96, 150, 204)(20, 74, 128, 182, 45, 99, 153, 207, 22, 76, 130, 184, 43, 97, 151, 205, 54, 108, 162, 216, 46, 100, 154, 208)
	L = (1, 56)(2, 57)(3, 55)(4, 64)(5, 67)(6, 70)(7, 73)(8, 76)(9, 79)(10, 65)(11, 58)(12, 86)(13, 68)(14, 59)(15, 93)(16, 71)(17, 60)(18, 84)(19, 74)(20, 61)(21, 92)(22, 77)(23, 62)(24, 95)(25, 80)(26, 63)(27, 100)(28, 78)(29, 91)(30, 97)(31, 96)(32, 87)(33, 66)(34, 98)(35, 85)(36, 81)(37, 99)(38, 101)(39, 94)(40, 69)(41, 82)(42, 89)(43, 72)(44, 102)(45, 83)(46, 90)(47, 75)(48, 88)(49, 106)(50, 107)(51, 104)(52, 108)(53, 105)(54, 103)(109, 165)(110, 163)(111, 164)(112, 173)(113, 176)(114, 179)(115, 182)(116, 185)(117, 188)(118, 166)(119, 172)(120, 195)(121, 167)(122, 175)(123, 202)(124, 168)(125, 178)(126, 205)(127, 169)(128, 181)(129, 209)(130, 170)(131, 184)(132, 190)(133, 171)(134, 187)(135, 198)(136, 203)(137, 207)(138, 180)(139, 197)(140, 174)(141, 194)(142, 210)(143, 204)(144, 208)(145, 191)(146, 183)(147, 177)(148, 201)(149, 186)(150, 193)(151, 192)(152, 196)(153, 199)(154, 189)(155, 200)(156, 206)(157, 216)(158, 213)(159, 215)(160, 211)(161, 212)(162, 214)
	local type(s) :: { ( 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.833
Transitivity :: VT+
Graph::
	v = 9 e = 108 f = 45
	degree seq :: [ 24^9 ]

E28.854 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 6, 6})
Quotient :: loop^2
Aut^+ = C2 x ((C3 x C3) : C3) (small group id <54, 10>)
Aut   = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3, (R * Y3)^2, R * Y1 * R * Y2, Y2^-1 * Y3^2 * Y1^-1, Y1^-1 * Y3 * Y2 * Y3 * Y2, Y3 * Y1 * Y3 * Y2^-1 * Y1, Y1 * Y2 * Y1^-1 * Y3^-1 * Y2^-1 * Y3, (Y2 * Y1)^3, Y2^-1 * Y1^-1 * Y2 * Y3 * Y1 * Y3^-1, Y3 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y3^-4 * Y1^-1, (Y2 * Y1^-1)^3, (Y2^-1 * Y1^-1 * Y3^-1)^6 ]
Map:: non-degenerate
	R = (1, 55, 109, 163, 4, 58, 112, 166, 12, 66, 120, 174, 34, 88, 142, 196, 22, 76, 130, 184, 7, 61, 115, 169)(2, 56, 110, 164, 9, 63, 117, 171, 30, 84, 138, 192, 26, 80, 134, 188, 6, 60, 114, 168, 11, 65, 119, 173)(3, 57, 111, 165, 13, 67, 121, 175, 24, 78, 132, 186, 28, 82, 136, 190, 44, 98, 152, 206, 15, 69, 123, 177)(5, 59, 113, 167, 21, 75, 129, 183, 48, 102, 156, 210, 17, 71, 125, 179, 10, 64, 118, 172, 23, 77, 131, 185)(8, 62, 116, 170, 31, 85, 139, 193, 36, 90, 144, 198, 39, 93, 147, 201, 53, 107, 161, 215, 33, 87, 141, 195)(14, 68, 122, 176, 29, 83, 137, 191, 37, 91, 145, 199, 27, 81, 135, 189, 42, 96, 150, 204, 45, 99, 153, 207)(16, 70, 124, 178, 20, 74, 128, 182, 43, 97, 151, 205, 50, 104, 158, 212, 19, 73, 127, 181, 47, 101, 155, 209)(18, 72, 126, 180, 32, 86, 140, 194, 40, 94, 148, 202, 41, 95, 149, 203, 38, 92, 146, 200, 49, 103, 157, 211)(25, 79, 133, 187, 46, 100, 154, 208, 54, 108, 162, 216, 35, 89, 143, 197, 51, 105, 159, 213, 52, 106, 160, 214)
	L = (1, 56)(2, 59)(3, 66)(4, 70)(5, 55)(6, 78)(7, 81)(8, 84)(9, 69)(10, 90)(11, 92)(12, 68)(13, 85)(14, 57)(15, 89)(16, 72)(17, 88)(18, 58)(19, 77)(20, 102)(21, 87)(22, 104)(23, 100)(24, 79)(25, 60)(26, 71)(27, 82)(28, 61)(29, 94)(30, 86)(31, 97)(32, 62)(33, 99)(34, 80)(35, 63)(36, 91)(37, 64)(38, 93)(39, 65)(40, 106)(41, 76)(42, 103)(43, 67)(44, 107)(45, 75)(46, 73)(47, 98)(48, 105)(49, 108)(50, 95)(51, 74)(52, 83)(53, 101)(54, 96)(109, 165)(110, 170)(111, 168)(112, 179)(113, 182)(114, 163)(115, 180)(116, 172)(117, 196)(118, 164)(119, 197)(120, 203)(121, 189)(122, 198)(123, 205)(124, 193)(125, 181)(126, 191)(127, 166)(128, 184)(129, 188)(130, 167)(131, 207)(132, 209)(133, 211)(134, 201)(135, 195)(136, 171)(137, 169)(138, 187)(139, 200)(140, 212)(141, 175)(142, 190)(143, 202)(144, 206)(145, 216)(146, 178)(147, 183)(148, 173)(149, 204)(150, 174)(151, 208)(152, 176)(153, 214)(154, 177)(155, 213)(156, 199)(157, 192)(158, 215)(159, 186)(160, 185)(161, 194)(162, 210)
	local type(s) :: { ( 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.832
Transitivity :: VT+
Graph::
	v = 9 e = 108 f = 45
	degree seq :: [ 24^9 ]

E28.855 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 6, 6})
Quotient :: loop^2
Aut^+ = C2 x ((C3 x C3) : C3) (small group id <54, 10>)
Aut   = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3, Y2^-1 * Y1^-1 * Y3^-2, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y1^-1 * Y3 * Y2 * Y1^-1, Y1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y2^-1 * Y3^-1 * Y1 * Y3^-1 * Y1, Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2, Y1^-1 * Y2^-1 * Y1^-1 * Y3^2 * Y2^-1, Y1^-1 * Y3^-1 * Y2 * Y1 * Y2^-1 * Y3, (Y1 * Y2^-1)^3, Y2 * Y1 * Y3^-1 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 55, 109, 163, 4, 58, 112, 166, 18, 72, 126, 180, 32, 86, 140, 194, 8, 62, 116, 170, 7, 61, 115, 169)(2, 56, 110, 164, 9, 63, 117, 171, 35, 89, 143, 197, 20, 74, 128, 182, 21, 75, 129, 183, 11, 65, 119, 173)(3, 57, 111, 165, 13, 67, 121, 175, 5, 59, 113, 167, 22, 76, 130, 184, 41, 95, 149, 203, 15, 69, 123, 177)(6, 60, 114, 168, 25, 79, 133, 187, 14, 68, 122, 176, 27, 81, 135, 189, 52, 106, 160, 214, 26, 80, 134, 188)(10, 64, 118, 172, 38, 92, 146, 200, 31, 85, 139, 193, 17, 71, 125, 179, 46, 100, 154, 208, 19, 73, 127, 181)(12, 66, 120, 174, 40, 94, 148, 202, 54, 108, 162, 216, 45, 99, 153, 207, 37, 91, 145, 199, 39, 93, 147, 201)(16, 70, 124, 178, 47, 101, 155, 209, 43, 97, 151, 205, 30, 84, 138, 192, 44, 98, 152, 206, 42, 96, 150, 204)(23, 77, 131, 185, 49, 103, 157, 211, 51, 105, 159, 213, 34, 88, 142, 196, 53, 107, 161, 215, 36, 90, 144, 198)(24, 78, 132, 186, 28, 82, 136, 190, 50, 104, 158, 212, 29, 83, 137, 191, 48, 102, 156, 210, 33, 87, 141, 195)
	L = (1, 56)(2, 59)(3, 66)(4, 70)(5, 55)(6, 78)(7, 81)(8, 84)(9, 87)(10, 91)(11, 71)(12, 68)(13, 88)(14, 57)(15, 86)(16, 73)(17, 94)(18, 60)(19, 58)(20, 69)(21, 104)(22, 99)(23, 101)(24, 72)(25, 92)(26, 76)(27, 83)(28, 93)(29, 61)(30, 85)(31, 62)(32, 74)(33, 90)(34, 98)(35, 64)(36, 63)(37, 89)(38, 103)(39, 97)(40, 65)(41, 77)(42, 102)(43, 82)(44, 67)(45, 80)(46, 107)(47, 95)(48, 108)(49, 79)(50, 105)(51, 75)(52, 100)(53, 106)(54, 96)(109, 165)(110, 170)(111, 168)(112, 179)(113, 183)(114, 163)(115, 190)(116, 172)(117, 196)(118, 164)(119, 201)(120, 203)(121, 205)(122, 199)(123, 171)(124, 169)(125, 182)(126, 210)(127, 206)(128, 166)(129, 185)(130, 189)(131, 167)(132, 214)(133, 198)(134, 202)(135, 194)(136, 178)(137, 187)(138, 180)(139, 209)(140, 184)(141, 173)(142, 177)(143, 216)(144, 191)(145, 208)(146, 188)(147, 195)(148, 200)(149, 204)(150, 174)(151, 207)(152, 211)(153, 175)(154, 176)(155, 215)(156, 192)(157, 181)(158, 197)(159, 186)(160, 213)(161, 193)(162, 212)
	local type(s) :: { ( 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.835
Transitivity :: VT+
Graph::
	v = 9 e = 108 f = 45
	degree seq :: [ 24^9 ]

E28.856 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 6, 6})
Quotient :: loop^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, Y1^6, Y2^6, Y1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1, Y1^-1 * Y3^-1 * Y2^-1 * Y3 * Y1^2 * Y3, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1, (Y1^-1 * Y3^-1 * Y2^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 55, 109, 163, 3, 57, 111, 165, 5, 59, 113, 167)(2, 56, 110, 164, 7, 61, 115, 169, 8, 62, 116, 170)(4, 58, 112, 166, 11, 65, 119, 173, 13, 67, 121, 175)(6, 60, 114, 168, 17, 71, 125, 179, 18, 72, 126, 180)(9, 63, 117, 171, 24, 78, 132, 186, 25, 79, 133, 187)(10, 64, 118, 172, 26, 80, 134, 188, 28, 82, 136, 190)(12, 66, 120, 174, 31, 85, 139, 193, 32, 86, 140, 194)(14, 68, 122, 176, 36, 90, 144, 198, 37, 91, 145, 199)(15, 69, 123, 177, 38, 92, 146, 200, 40, 94, 148, 202)(16, 70, 124, 178, 41, 95, 149, 203, 42, 96, 150, 204)(19, 73, 127, 181, 46, 100, 154, 208, 23, 77, 131, 185)(20, 74, 128, 182, 47, 101, 155, 209, 33, 87, 141, 195)(21, 75, 129, 183, 35, 89, 143, 197, 49, 103, 157, 211)(22, 76, 130, 184, 29, 83, 137, 191, 50, 104, 158, 212)(27, 81, 135, 189, 30, 84, 138, 192, 52, 106, 160, 214)(34, 88, 142, 196, 39, 93, 147, 201, 51, 105, 159, 213)(43, 97, 151, 205, 53, 107, 161, 215, 45, 99, 153, 207)(44, 98, 152, 206, 48, 102, 156, 210, 54, 108, 162, 216)
	L = (1, 56)(2, 60)(3, 63)(4, 55)(5, 68)(6, 70)(7, 73)(8, 75)(9, 77)(10, 57)(11, 83)(12, 58)(13, 87)(14, 89)(15, 59)(16, 66)(17, 97)(18, 98)(19, 99)(20, 61)(21, 102)(22, 62)(23, 96)(24, 103)(25, 72)(26, 104)(27, 64)(28, 74)(29, 79)(30, 65)(31, 92)(32, 82)(33, 90)(34, 67)(35, 95)(36, 71)(37, 100)(38, 76)(39, 69)(40, 101)(41, 93)(42, 81)(43, 88)(44, 84)(45, 86)(46, 108)(47, 78)(48, 85)(49, 107)(50, 91)(51, 80)(52, 94)(53, 106)(54, 105)(109, 164)(110, 168)(111, 171)(112, 163)(113, 176)(114, 178)(115, 181)(116, 183)(117, 185)(118, 165)(119, 191)(120, 166)(121, 195)(122, 197)(123, 167)(124, 174)(125, 205)(126, 206)(127, 207)(128, 169)(129, 210)(130, 170)(131, 204)(132, 211)(133, 180)(134, 212)(135, 172)(136, 182)(137, 187)(138, 173)(139, 200)(140, 190)(141, 198)(142, 175)(143, 203)(144, 179)(145, 208)(146, 184)(147, 177)(148, 209)(149, 201)(150, 189)(151, 196)(152, 192)(153, 194)(154, 216)(155, 186)(156, 193)(157, 215)(158, 199)(159, 188)(160, 202)(161, 214)(162, 213)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E28.837
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 12^18 ]

E28.857 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 6, 6})
Quotient :: loop^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1, Y3^3, (Y2 * Y3^-1)^2, (R * Y3)^2, R * Y2 * R * Y1, (Y1 * Y3^-1)^2, Y2^6, Y1^6, Y3 * Y1 * Y3 * Y1 * Y3^2 * Y2 * Y1 * Y3, Y3 * Y1^2 * Y3 * Y2 * Y1 * Y3 * Y1^2, (Y1^-1 * Y3^-1 * Y2^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 55, 109, 163, 3, 57, 111, 165, 5, 59, 113, 167)(2, 56, 110, 164, 7, 61, 115, 169, 8, 62, 116, 170)(4, 58, 112, 166, 10, 64, 118, 172, 12, 66, 120, 174)(6, 60, 114, 168, 15, 69, 123, 177, 16, 70, 124, 178)(9, 63, 117, 171, 20, 74, 128, 182, 13, 67, 121, 175)(11, 65, 119, 173, 22, 76, 130, 184, 23, 77, 131, 185)(14, 68, 122, 176, 26, 80, 134, 188, 27, 81, 135, 189)(17, 71, 125, 179, 31, 85, 139, 193, 18, 72, 126, 180)(19, 73, 127, 181, 33, 87, 141, 195, 34, 88, 142, 196)(21, 75, 129, 183, 37, 91, 145, 199, 24, 78, 132, 186)(25, 79, 133, 187, 35, 89, 143, 197, 41, 95, 149, 203)(28, 82, 136, 190, 44, 98, 152, 206, 29, 83, 137, 191)(30, 84, 138, 192, 40, 94, 148, 202, 46, 100, 154, 208)(32, 86, 140, 194, 47, 101, 155, 209, 48, 102, 156, 210)(36, 90, 144, 198, 50, 104, 158, 212, 51, 105, 159, 213)(38, 92, 146, 200, 49, 103, 157, 211, 39, 93, 147, 201)(42, 96, 150, 204, 53, 107, 161, 215, 43, 97, 151, 205)(45, 99, 153, 207, 54, 108, 162, 216, 52, 106, 160, 214)
	L = (1, 56)(2, 60)(3, 63)(4, 55)(5, 64)(6, 68)(7, 71)(8, 57)(9, 73)(10, 75)(11, 58)(12, 76)(13, 59)(14, 65)(15, 82)(16, 61)(17, 84)(18, 62)(19, 86)(20, 89)(21, 90)(22, 92)(23, 80)(24, 66)(25, 67)(26, 96)(27, 69)(28, 95)(29, 70)(30, 99)(31, 101)(32, 72)(33, 93)(34, 74)(35, 98)(36, 79)(37, 100)(38, 106)(39, 77)(40, 78)(41, 104)(42, 102)(43, 81)(44, 108)(45, 83)(46, 85)(47, 107)(48, 87)(49, 88)(50, 97)(51, 91)(52, 94)(53, 105)(54, 103)(109, 164)(110, 168)(111, 171)(112, 163)(113, 172)(114, 176)(115, 179)(116, 165)(117, 181)(118, 183)(119, 166)(120, 184)(121, 167)(122, 173)(123, 190)(124, 169)(125, 192)(126, 170)(127, 194)(128, 197)(129, 198)(130, 200)(131, 188)(132, 174)(133, 175)(134, 204)(135, 177)(136, 203)(137, 178)(138, 207)(139, 209)(140, 180)(141, 201)(142, 182)(143, 206)(144, 187)(145, 208)(146, 214)(147, 185)(148, 186)(149, 212)(150, 210)(151, 189)(152, 216)(153, 191)(154, 193)(155, 215)(156, 195)(157, 196)(158, 205)(159, 199)(160, 202)(161, 213)(162, 211)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E28.836
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 12^18 ]

E28.858 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 6, 6})
Quotient :: loop^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2, Y3^3, (R * Y3)^2, Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1, R * Y2 * R * Y1, Y1^6, Y2^6, Y1^2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1^2 * Y3^-1, Y2^-1 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y3 * Y1^-1 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 55, 109, 163, 3, 57, 111, 165, 5, 59, 113, 167)(2, 56, 110, 164, 7, 61, 115, 169, 8, 62, 116, 170)(4, 58, 112, 166, 11, 65, 119, 173, 9, 63, 117, 171)(6, 60, 114, 168, 15, 69, 123, 177, 16, 70, 124, 178)(10, 64, 118, 172, 20, 74, 128, 182, 13, 67, 121, 175)(12, 66, 120, 174, 24, 78, 132, 186, 22, 76, 130, 184)(14, 68, 122, 176, 26, 80, 134, 188, 27, 81, 135, 189)(17, 71, 125, 179, 30, 84, 138, 192, 18, 72, 126, 180)(19, 73, 127, 181, 23, 77, 131, 185, 34, 88, 142, 196)(21, 75, 129, 183, 37, 91, 145, 199, 35, 89, 143, 197)(25, 79, 133, 187, 36, 90, 144, 198, 41, 95, 149, 203)(28, 82, 136, 190, 44, 98, 152, 206, 29, 83, 137, 191)(31, 85, 139, 193, 48, 102, 156, 210, 46, 100, 154, 208)(32, 86, 140, 194, 47, 101, 155, 209, 39, 93, 147, 201)(33, 87, 141, 195, 49, 103, 157, 211, 50, 104, 158, 212)(38, 92, 146, 200, 40, 94, 148, 202, 51, 105, 159, 213)(42, 96, 150, 204, 53, 107, 161, 215, 43, 97, 151, 205)(45, 99, 153, 207, 52, 106, 160, 214, 54, 108, 162, 216)
	L = (1, 56)(2, 60)(3, 63)(4, 55)(5, 67)(6, 68)(7, 59)(8, 72)(9, 73)(10, 57)(11, 76)(12, 58)(13, 79)(14, 66)(15, 62)(16, 83)(17, 61)(18, 86)(19, 87)(20, 89)(21, 64)(22, 92)(23, 65)(24, 81)(25, 85)(26, 70)(27, 97)(28, 69)(29, 91)(30, 100)(31, 71)(32, 99)(33, 75)(34, 101)(35, 98)(36, 74)(37, 104)(38, 106)(39, 77)(40, 78)(41, 94)(42, 80)(43, 102)(44, 108)(45, 82)(46, 107)(47, 84)(48, 95)(49, 88)(50, 96)(51, 90)(52, 93)(53, 103)(54, 105)(109, 164)(110, 168)(111, 171)(112, 163)(113, 175)(114, 176)(115, 167)(116, 180)(117, 181)(118, 165)(119, 184)(120, 166)(121, 187)(122, 174)(123, 170)(124, 191)(125, 169)(126, 194)(127, 195)(128, 197)(129, 172)(130, 200)(131, 173)(132, 189)(133, 193)(134, 178)(135, 205)(136, 177)(137, 199)(138, 208)(139, 179)(140, 207)(141, 183)(142, 209)(143, 206)(144, 182)(145, 212)(146, 214)(147, 185)(148, 186)(149, 202)(150, 188)(151, 210)(152, 216)(153, 190)(154, 215)(155, 192)(156, 203)(157, 196)(158, 204)(159, 198)(160, 201)(161, 211)(162, 213)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E28.838
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 12^18 ]

E28.859 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 6, 6})
Quotient :: loop^2
Aut^+ = C2 x ((C3 x C3) : C3) (small group id <54, 10>)
Aut   = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y2, Y3), (Y3, Y1^-1), (R * Y3)^2, R * Y1 * R * Y2, Y2^-1 * Y3^-1 * Y1 * Y2 * Y1^-1, Y2^6, (Y2 * Y1^-1)^3, Y2^-3 * Y1^3, Y3^-1 * Y1^-1 * Y2 * Y1 * Y3^-1 * Y2^-1, Y1^-2 * Y2^-3 * Y1^-1, (Y2 * Y1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 55, 109, 163, 4, 58, 112, 166, 7, 61, 115, 169)(2, 56, 110, 164, 10, 64, 118, 172, 12, 66, 120, 174)(3, 57, 111, 165, 15, 69, 123, 177, 17, 71, 125, 179)(5, 59, 113, 167, 18, 72, 126, 180, 23, 77, 131, 185)(6, 60, 114, 168, 19, 73, 127, 181, 27, 81, 135, 189)(8, 62, 116, 170, 30, 84, 138, 192, 32, 86, 140, 194)(9, 63, 117, 171, 35, 89, 143, 197, 13, 67, 121, 175)(11, 65, 119, 173, 24, 78, 132, 186, 38, 92, 146, 200)(14, 68, 122, 176, 42, 96, 150, 204, 44, 98, 152, 206)(16, 70, 124, 178, 45, 99, 153, 207, 20, 74, 128, 182)(21, 75, 129, 183, 47, 101, 155, 209, 51, 105, 159, 213)(22, 76, 130, 184, 48, 102, 156, 210, 25, 79, 133, 187)(26, 80, 134, 188, 49, 103, 157, 211, 52, 106, 160, 214)(28, 82, 136, 190, 53, 107, 161, 215, 54, 108, 162, 216)(29, 83, 137, 191, 39, 93, 147, 201, 33, 87, 141, 195)(31, 85, 139, 193, 36, 90, 144, 198, 43, 97, 151, 205)(34, 88, 142, 196, 41, 95, 149, 203, 40, 94, 148, 202)(37, 91, 145, 199, 50, 104, 158, 212, 46, 100, 154, 208)
	L = (1, 56)(2, 62)(3, 67)(4, 64)(5, 55)(6, 78)(7, 66)(8, 82)(9, 87)(10, 84)(11, 90)(12, 86)(13, 93)(14, 95)(15, 63)(16, 57)(17, 89)(18, 58)(19, 92)(20, 71)(21, 59)(22, 73)(23, 61)(24, 97)(25, 60)(26, 100)(27, 65)(28, 75)(29, 106)(30, 107)(31, 96)(32, 108)(33, 103)(34, 102)(35, 83)(36, 98)(37, 99)(38, 85)(39, 80)(40, 76)(41, 79)(42, 94)(43, 68)(44, 88)(45, 69)(46, 70)(47, 72)(48, 81)(49, 91)(50, 74)(51, 77)(52, 104)(53, 101)(54, 105)(109, 165)(110, 171)(111, 176)(112, 177)(113, 182)(114, 163)(115, 179)(116, 191)(117, 196)(118, 197)(119, 164)(120, 175)(121, 202)(122, 190)(123, 204)(124, 198)(125, 206)(126, 178)(127, 166)(128, 193)(129, 199)(130, 167)(131, 207)(132, 172)(133, 185)(134, 168)(135, 169)(136, 188)(137, 184)(138, 201)(139, 170)(140, 195)(141, 187)(142, 183)(143, 203)(144, 192)(145, 173)(146, 174)(147, 210)(148, 213)(149, 209)(150, 215)(151, 194)(152, 216)(153, 205)(154, 200)(155, 212)(156, 180)(157, 181)(158, 186)(159, 208)(160, 189)(161, 211)(162, 214)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E28.841
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 12^18 ]

E28.860 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 6, 6})
Quotient :: loop^2
Aut^+ = C2 x ((C3 x C3) : C3) (small group id <54, 10>)
Aut   = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2, Y3^3, R * Y2 * R * Y1, (R * Y3)^2, Y2^6, Y1^6, Y1 * Y3^-1 * Y2^2 * Y3^-1 * Y2^-1 * Y3^-1, Y1^2 * Y3 * Y2 * Y3 * Y1^-1 * Y3, Y1^2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1, Y1 * Y3 * Y2^2 * Y3 * Y2^-1 * Y3, Y1 * Y3^-1 * Y2 * Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1, Y3 * Y2 * Y3^-1 * Y1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y2 * Y3 * Y1 * Y3^-1 * Y2^-1 * Y3 * Y1^-1, Y2^2 * Y3 * Y2 * Y1^-2 * Y3^-1 * Y1^-1, (Y1^-1, Y3^-1, Y1^-1), (Y2^-1, Y3^-1, Y2^-1) ]
Map:: non-degenerate
	R = (1, 55, 109, 163, 4, 58, 112, 166, 5, 59, 113, 167)(2, 56, 110, 164, 7, 61, 115, 169, 8, 62, 116, 170)(3, 57, 111, 165, 10, 64, 118, 172, 11, 65, 119, 173)(6, 60, 114, 168, 17, 71, 125, 179, 18, 72, 126, 180)(9, 63, 117, 171, 23, 77, 131, 185, 24, 78, 132, 186)(12, 66, 120, 174, 30, 84, 138, 192, 31, 85, 139, 193)(13, 67, 121, 175, 33, 87, 141, 195, 34, 88, 142, 196)(14, 68, 122, 176, 36, 90, 144, 198, 37, 91, 145, 199)(15, 69, 123, 177, 39, 93, 147, 201, 40, 94, 148, 202)(16, 70, 124, 178, 41, 95, 149, 203, 42, 96, 150, 204)(19, 73, 127, 181, 35, 89, 143, 197, 46, 100, 154, 208)(20, 74, 128, 182, 27, 81, 135, 189, 47, 101, 155, 209)(21, 75, 129, 183, 49, 103, 157, 211, 29, 83, 137, 191)(22, 76, 130, 184, 50, 104, 158, 212, 25, 79, 133, 187)(26, 80, 134, 188, 38, 92, 146, 200, 51, 105, 159, 213)(28, 82, 136, 190, 52, 106, 160, 214, 32, 86, 140, 194)(43, 97, 151, 205, 48, 102, 156, 210, 53, 107, 161, 215)(44, 98, 152, 206, 54, 108, 162, 216, 45, 99, 153, 207)
	L = (1, 56)(2, 60)(3, 55)(4, 66)(5, 68)(6, 70)(7, 73)(8, 75)(9, 57)(10, 79)(11, 81)(12, 83)(13, 58)(14, 89)(15, 59)(16, 63)(17, 97)(18, 98)(19, 99)(20, 61)(21, 102)(22, 62)(23, 94)(24, 87)(25, 91)(26, 64)(27, 84)(28, 65)(29, 95)(30, 72)(31, 100)(32, 67)(33, 76)(34, 101)(35, 96)(36, 103)(37, 71)(38, 69)(39, 104)(40, 74)(41, 86)(42, 92)(43, 80)(44, 82)(45, 77)(46, 107)(47, 90)(48, 78)(49, 108)(50, 85)(51, 88)(52, 93)(53, 106)(54, 105)(109, 165)(110, 163)(111, 171)(112, 175)(113, 177)(114, 164)(115, 182)(116, 184)(117, 178)(118, 188)(119, 190)(120, 166)(121, 194)(122, 167)(123, 200)(124, 168)(125, 199)(126, 192)(127, 169)(128, 202)(129, 170)(130, 195)(131, 207)(132, 210)(133, 172)(134, 205)(135, 173)(136, 206)(137, 174)(138, 189)(139, 212)(140, 203)(141, 186)(142, 213)(143, 176)(144, 209)(145, 187)(146, 204)(147, 214)(148, 185)(149, 191)(150, 197)(151, 179)(152, 180)(153, 181)(154, 193)(155, 196)(156, 183)(157, 198)(158, 201)(159, 216)(160, 215)(161, 208)(162, 211)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E28.840
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 12^18 ]

E28.861 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 6, 6})
Quotient :: loop^2
Aut^+ = C2 x ((C3 x C3) : C3) (small group id <54, 10>)
Aut   = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1 * Y3, Y3^3, R * Y1 * R * Y2, (R * Y3)^2, Y1^-2 * Y3 * Y2^-2, Y3 * Y2^-2 * Y1^-2, Y1^2 * Y2^2 * Y3^-1, Y3 * Y2^-2 * Y1^-2, Y2^6, (Y2 * Y1^-1)^3, Y2^-1 * Y1^3 * Y2^-2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y2 * Y1^-1, (Y1^-1 * Y3^-1 * Y2^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 55, 109, 163, 4, 58, 112, 166, 7, 61, 115, 169)(2, 56, 110, 164, 6, 60, 114, 168, 11, 65, 119, 173)(3, 57, 111, 165, 13, 67, 121, 175, 15, 69, 123, 177)(5, 59, 113, 167, 20, 74, 128, 182, 22, 76, 130, 184)(8, 62, 116, 170, 10, 64, 118, 172, 30, 84, 138, 192)(9, 63, 117, 171, 31, 85, 139, 193, 33, 87, 141, 195)(12, 66, 120, 174, 39, 93, 147, 201, 21, 75, 129, 183)(14, 68, 122, 176, 42, 96, 150, 204, 44, 98, 152, 206)(16, 70, 124, 178, 18, 72, 126, 180, 47, 101, 155, 209)(17, 71, 125, 179, 32, 86, 140, 194, 49, 103, 157, 211)(19, 73, 127, 181, 41, 95, 149, 203, 48, 102, 156, 210)(23, 77, 131, 185, 25, 79, 133, 187, 52, 106, 160, 214)(24, 78, 132, 186, 45, 99, 153, 207, 51, 105, 159, 213)(26, 80, 134, 188, 27, 81, 135, 189, 35, 89, 143, 197)(28, 82, 136, 190, 29, 83, 137, 191, 43, 97, 151, 205)(34, 88, 142, 196, 36, 90, 144, 198, 54, 108, 162, 216)(37, 91, 145, 199, 38, 92, 146, 200, 46, 100, 154, 208)(40, 94, 148, 202, 50, 104, 158, 212, 53, 107, 161, 215)
	L = (1, 56)(2, 62)(3, 61)(4, 70)(5, 55)(6, 77)(7, 80)(8, 82)(9, 65)(10, 88)(11, 91)(12, 69)(13, 85)(14, 57)(15, 78)(16, 100)(17, 58)(18, 84)(19, 76)(20, 87)(21, 59)(22, 99)(23, 94)(24, 60)(25, 97)(26, 79)(27, 92)(28, 75)(29, 102)(30, 104)(31, 101)(32, 63)(33, 89)(34, 98)(35, 64)(36, 93)(37, 90)(38, 107)(39, 86)(40, 66)(41, 67)(42, 103)(43, 68)(44, 74)(45, 72)(46, 83)(47, 106)(48, 71)(49, 105)(50, 73)(51, 81)(52, 108)(53, 96)(54, 95)(109, 165)(110, 171)(111, 174)(112, 167)(113, 181)(114, 163)(115, 179)(116, 180)(117, 182)(118, 164)(119, 186)(120, 190)(121, 176)(122, 196)(123, 203)(124, 193)(125, 204)(126, 166)(127, 191)(128, 183)(129, 198)(130, 206)(131, 209)(132, 211)(133, 168)(134, 195)(135, 169)(136, 187)(137, 170)(138, 197)(139, 194)(140, 210)(141, 175)(142, 214)(143, 213)(144, 172)(145, 178)(146, 173)(147, 202)(148, 200)(149, 212)(150, 205)(151, 208)(152, 215)(153, 177)(154, 189)(155, 207)(156, 216)(157, 201)(158, 185)(159, 184)(160, 188)(161, 192)(162, 199)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E28.839
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 12^18 ]

E28.862 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 6, 6})
Quotient :: loop^2
Aut^+ = C2 x ((C3 x C3) : C3) (small group id <54, 10>)
Aut   = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1 * Y3, Y3^3, R * Y1 * R * Y2, (R * Y3)^2, Y2^2 * Y1^2 * Y3, Y3 * Y2^2 * Y1^2, Y1^2 * Y3 * Y2^2, Y2 * Y1^2 * Y3 * Y2, Y3 * Y1^-1 * Y3^-1 * Y2 * Y1 * Y2^-1, Y1^-1 * Y2^-1 * Y3 * Y2 * Y1 * Y3^-1, (Y1 * Y2^-1)^3, Y1^3 * Y2^-3, Y2^6 ]
Map:: non-degenerate
	R = (1, 55, 109, 163, 4, 58, 112, 166, 7, 61, 115, 169)(2, 56, 110, 164, 9, 63, 117, 171, 11, 65, 119, 173)(3, 57, 111, 165, 14, 68, 122, 176, 5, 59, 113, 167)(6, 60, 114, 168, 23, 77, 131, 185, 25, 79, 133, 187)(8, 62, 116, 170, 24, 78, 132, 186, 30, 84, 138, 192)(10, 64, 118, 172, 34, 88, 142, 196, 36, 90, 144, 198)(12, 66, 120, 174, 38, 92, 146, 200, 37, 91, 145, 199)(13, 67, 121, 175, 40, 94, 148, 202, 15, 69, 123, 177)(16, 70, 124, 178, 46, 100, 154, 208, 39, 93, 147, 201)(17, 71, 125, 179, 45, 99, 153, 207, 18, 72, 126, 180)(19, 73, 127, 181, 48, 102, 156, 210, 20, 74, 128, 182)(21, 75, 129, 183, 50, 104, 158, 212, 32, 86, 140, 194)(22, 76, 130, 184, 47, 101, 155, 209, 31, 85, 139, 193)(26, 80, 134, 188, 51, 105, 159, 213, 27, 81, 135, 189)(28, 82, 136, 190, 35, 89, 143, 197, 41, 95, 149, 203)(29, 83, 137, 191, 53, 107, 161, 215, 52, 106, 160, 214)(33, 87, 141, 195, 54, 108, 162, 216, 44, 98, 152, 206)(42, 96, 150, 204, 49, 103, 157, 211, 43, 97, 151, 205)
	L = (1, 56)(2, 62)(3, 66)(4, 70)(5, 55)(6, 76)(7, 60)(8, 82)(9, 85)(10, 87)(11, 64)(12, 79)(13, 81)(14, 75)(15, 57)(16, 90)(17, 92)(18, 58)(19, 105)(20, 59)(21, 100)(22, 95)(23, 88)(24, 98)(25, 78)(26, 91)(27, 61)(28, 74)(29, 97)(30, 83)(31, 106)(32, 63)(33, 102)(34, 107)(35, 103)(36, 89)(37, 93)(38, 65)(39, 101)(40, 99)(41, 67)(42, 80)(43, 68)(44, 69)(45, 104)(46, 84)(47, 108)(48, 71)(49, 72)(50, 77)(51, 86)(52, 73)(53, 94)(54, 96)(109, 165)(110, 166)(111, 175)(112, 179)(113, 181)(114, 163)(115, 188)(116, 171)(117, 183)(118, 164)(119, 199)(120, 176)(121, 190)(122, 204)(123, 195)(124, 169)(125, 182)(126, 205)(127, 191)(128, 197)(129, 167)(130, 185)(131, 194)(132, 168)(133, 200)(134, 211)(135, 202)(136, 186)(137, 170)(138, 201)(139, 173)(140, 189)(141, 196)(142, 187)(143, 172)(144, 208)(145, 213)(146, 207)(147, 174)(148, 214)(149, 209)(150, 206)(151, 215)(152, 192)(153, 177)(154, 212)(155, 178)(156, 216)(157, 203)(158, 180)(159, 210)(160, 184)(161, 198)(162, 193)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E28.842
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 12^18 ]

E28.863 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 6, 6})
Quotient :: loop^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, Y3^3, (R * Y3)^2, R * Y2 * R * Y1, Y2^6, Y1^6, Y1 * Y3 * Y2^2 * Y3 * Y2^-1 * Y3^-1, Y1^2 * Y3^-1 * Y2 * Y3 * Y1^-1 * Y3^-1, Y1 * Y3^-1 * Y2^2 * Y3^-1 * Y2^-1 * Y3, Y1^2 * Y3 * Y2 * Y3^-1 * Y1^-1 * Y3, Y3 * Y2 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1, Y2^2 * Y3 * Y2 * Y1^-2 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 55, 109, 163, 4, 58, 112, 166, 5, 59, 113, 167)(2, 56, 110, 164, 7, 61, 115, 169, 8, 62, 116, 170)(3, 57, 111, 165, 10, 64, 118, 172, 11, 65, 119, 173)(6, 60, 114, 168, 17, 71, 125, 179, 18, 72, 126, 180)(9, 63, 117, 171, 23, 77, 131, 185, 24, 78, 132, 186)(12, 66, 120, 174, 30, 84, 138, 192, 31, 85, 139, 193)(13, 67, 121, 175, 33, 87, 141, 195, 34, 88, 142, 196)(14, 68, 122, 176, 36, 90, 144, 198, 37, 91, 145, 199)(15, 69, 123, 177, 39, 93, 147, 201, 40, 94, 148, 202)(16, 70, 124, 178, 41, 95, 149, 203, 42, 96, 150, 204)(19, 73, 127, 181, 46, 100, 154, 208, 29, 83, 137, 191)(20, 74, 128, 182, 47, 101, 155, 209, 27, 81, 135, 189)(21, 75, 129, 183, 35, 89, 143, 197, 49, 103, 157, 211)(22, 76, 130, 184, 25, 79, 133, 187, 50, 104, 158, 212)(26, 80, 134, 188, 51, 105, 159, 213, 32, 86, 140, 194)(28, 82, 136, 190, 38, 92, 146, 200, 52, 106, 160, 214)(43, 97, 151, 205, 53, 107, 161, 215, 45, 99, 153, 207)(44, 98, 152, 206, 48, 102, 156, 210, 54, 108, 162, 216)
	L = (1, 56)(2, 60)(3, 55)(4, 66)(5, 68)(6, 70)(7, 73)(8, 75)(9, 57)(10, 79)(11, 81)(12, 83)(13, 58)(14, 89)(15, 59)(16, 63)(17, 97)(18, 98)(19, 99)(20, 61)(21, 102)(22, 62)(23, 93)(24, 88)(25, 85)(26, 64)(27, 90)(28, 65)(29, 96)(30, 103)(31, 72)(32, 67)(33, 104)(34, 74)(35, 95)(36, 71)(37, 100)(38, 69)(39, 76)(40, 101)(41, 92)(42, 86)(43, 82)(44, 80)(45, 78)(46, 108)(47, 84)(48, 77)(49, 107)(50, 91)(51, 94)(52, 87)(53, 105)(54, 106)(109, 165)(110, 163)(111, 171)(112, 175)(113, 177)(114, 164)(115, 182)(116, 184)(117, 178)(118, 188)(119, 190)(120, 166)(121, 194)(122, 167)(123, 200)(124, 168)(125, 198)(126, 193)(127, 169)(128, 196)(129, 170)(130, 201)(131, 210)(132, 207)(133, 172)(134, 206)(135, 173)(136, 205)(137, 174)(138, 209)(139, 187)(140, 204)(141, 214)(142, 186)(143, 176)(144, 189)(145, 212)(146, 203)(147, 185)(148, 213)(149, 197)(150, 191)(151, 179)(152, 180)(153, 181)(154, 199)(155, 202)(156, 183)(157, 192)(158, 195)(159, 215)(160, 216)(161, 211)(162, 208)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E28.843
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 12^18 ]

E28.864 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 6, 6})
Quotient :: loop^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2 * Y3 * Y1 * Y3, (R * Y3)^2, Y2^-1 * Y1^-2 * Y2^-1, R * Y1 * R * Y2, (Y2 * Y1^-1)^3, Y2^6, Y2^-1 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y1^-1, Y2^-2 * Y1^4, Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y1^-1 * Y2^-1 * Y1 * Y3 * Y1^-1, Y2 * Y3^-1 * Y2 * Y1 * Y2^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 55, 109, 163, 4, 58, 112, 166, 7, 61, 115, 169)(2, 56, 110, 164, 10, 64, 118, 172, 12, 66, 120, 174)(3, 57, 111, 165, 15, 69, 123, 177, 17, 71, 125, 179)(5, 59, 113, 167, 23, 77, 131, 185, 19, 73, 127, 181)(6, 60, 114, 168, 25, 79, 133, 187, 18, 72, 126, 180)(8, 62, 116, 170, 29, 83, 137, 191, 31, 85, 139, 193)(9, 63, 117, 171, 33, 87, 141, 195, 35, 89, 143, 197)(11, 65, 119, 173, 40, 94, 148, 202, 36, 90, 144, 198)(13, 67, 121, 175, 42, 96, 150, 204, 37, 91, 145, 199)(14, 68, 122, 176, 43, 97, 151, 205, 44, 98, 152, 206)(16, 70, 124, 178, 47, 101, 155, 209, 45, 99, 153, 207)(20, 74, 128, 182, 34, 88, 142, 196, 27, 81, 135, 189)(21, 75, 129, 183, 32, 86, 140, 194, 26, 80, 134, 188)(22, 76, 130, 184, 48, 102, 156, 210, 46, 100, 154, 208)(24, 78, 132, 186, 41, 95, 149, 203, 38, 92, 146, 200)(28, 82, 136, 190, 49, 103, 157, 211, 50, 104, 158, 212)(30, 84, 138, 192, 53, 107, 161, 215, 51, 105, 159, 213)(39, 93, 147, 201, 54, 108, 162, 216, 52, 106, 160, 214)
	L = (1, 56)(2, 62)(3, 67)(4, 72)(5, 55)(6, 78)(7, 80)(8, 82)(9, 86)(10, 90)(11, 93)(12, 95)(13, 60)(14, 59)(15, 61)(16, 57)(17, 87)(18, 94)(19, 96)(20, 58)(21, 83)(22, 88)(23, 89)(24, 84)(25, 85)(26, 92)(27, 91)(28, 68)(29, 105)(30, 70)(31, 108)(32, 65)(33, 66)(34, 63)(35, 79)(36, 107)(37, 64)(38, 103)(39, 76)(40, 104)(41, 106)(42, 75)(43, 71)(44, 81)(45, 77)(46, 69)(47, 74)(48, 73)(49, 100)(50, 101)(51, 102)(52, 97)(53, 98)(54, 99)(109, 165)(110, 171)(111, 176)(112, 181)(113, 184)(114, 163)(115, 189)(116, 168)(117, 167)(118, 169)(119, 164)(120, 204)(121, 196)(122, 192)(123, 207)(124, 201)(125, 210)(126, 195)(127, 209)(128, 205)(129, 166)(130, 190)(131, 206)(132, 194)(133, 199)(134, 197)(135, 208)(136, 173)(137, 174)(138, 170)(139, 188)(140, 175)(141, 182)(142, 178)(143, 177)(144, 187)(145, 185)(146, 172)(147, 186)(148, 183)(149, 180)(150, 179)(151, 212)(152, 216)(153, 211)(154, 215)(155, 213)(156, 214)(157, 193)(158, 203)(159, 202)(160, 191)(161, 200)(162, 198)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E28.844
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 12^18 ]

E28.865 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 6, 6})
Quotient :: loop^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^-1 * Y3 * Y2^-1 * Y3, Y2^2 * Y1^2, R * Y1 * R * Y2, (R * Y3)^2, Y1^-1 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y3^-1, Y2^6, Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1, Y2^-2 * Y1^4, Y2^-1 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-1, Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1, (Y2 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 55, 109, 163, 4, 58, 112, 166, 7, 61, 115, 169)(2, 56, 110, 164, 10, 64, 118, 172, 12, 66, 120, 174)(3, 57, 111, 165, 15, 69, 123, 177, 17, 71, 125, 179)(5, 59, 113, 167, 21, 75, 129, 183, 22, 76, 130, 184)(6, 60, 114, 168, 24, 78, 132, 186, 25, 79, 133, 187)(8, 62, 116, 170, 29, 83, 137, 191, 31, 85, 139, 193)(9, 63, 117, 171, 33, 87, 141, 195, 35, 89, 143, 197)(11, 65, 119, 173, 39, 93, 147, 201, 40, 94, 148, 202)(13, 67, 121, 175, 41, 95, 149, 203, 37, 91, 145, 199)(14, 68, 122, 176, 43, 97, 151, 205, 44, 98, 152, 206)(16, 70, 124, 178, 46, 100, 154, 208, 47, 101, 155, 209)(18, 72, 126, 180, 32, 86, 140, 194, 27, 81, 135, 189)(19, 73, 127, 181, 34, 88, 142, 196, 26, 80, 134, 188)(20, 74, 128, 182, 48, 102, 156, 210, 45, 99, 153, 207)(23, 77, 131, 185, 42, 96, 150, 204, 36, 90, 144, 198)(28, 82, 136, 190, 49, 103, 157, 211, 50, 104, 158, 212)(30, 84, 138, 192, 52, 106, 160, 214, 53, 107, 161, 215)(38, 92, 146, 200, 54, 108, 162, 216, 51, 105, 159, 213)
	L = (1, 56)(2, 62)(3, 67)(4, 72)(5, 55)(6, 77)(7, 78)(8, 82)(9, 86)(10, 90)(11, 92)(12, 93)(13, 60)(14, 59)(15, 89)(16, 57)(17, 58)(18, 96)(19, 95)(20, 88)(21, 91)(22, 87)(23, 84)(24, 94)(25, 83)(26, 61)(27, 85)(28, 68)(29, 105)(30, 70)(31, 106)(32, 65)(33, 79)(34, 63)(35, 64)(36, 108)(37, 81)(38, 74)(39, 107)(40, 103)(41, 66)(42, 104)(43, 73)(44, 69)(45, 75)(46, 76)(47, 80)(48, 71)(49, 101)(50, 102)(51, 100)(52, 99)(53, 97)(54, 98)(109, 165)(110, 171)(111, 176)(112, 181)(113, 182)(114, 163)(115, 183)(116, 168)(117, 167)(118, 199)(119, 164)(120, 166)(121, 196)(122, 192)(123, 207)(124, 200)(125, 208)(126, 195)(127, 210)(128, 190)(129, 209)(130, 205)(131, 194)(132, 197)(133, 203)(134, 206)(135, 169)(136, 173)(137, 180)(138, 170)(139, 172)(140, 175)(141, 179)(142, 178)(143, 188)(144, 186)(145, 177)(146, 185)(147, 187)(148, 189)(149, 184)(150, 174)(151, 213)(152, 211)(153, 216)(154, 212)(155, 214)(156, 215)(157, 198)(158, 191)(159, 201)(160, 202)(161, 204)(162, 193)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E28.845
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 12^18 ]

E28.866 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, (Y2^-1, Y1), Y2^-1 * Y3 * Y2^-1 * Y3^-1, (R * Y1)^2, (R * Y3)^2, R * Y2 * R * Y2^-1, (Y3 * Y1^-1)^2, (Y2 * Y1 * Y3^-1)^2, Y3^6, Y2 * Y1 * Y3 * Y1 * Y3^3, Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y3^-2 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 8, 62, 13, 67)(4, 58, 15, 69, 11, 65)(6, 60, 10, 64, 19, 73)(7, 61, 18, 72, 22, 76)(9, 63, 26, 80, 20, 74)(12, 66, 31, 85, 25, 79)(14, 68, 33, 87, 35, 89)(16, 70, 37, 91, 29, 83)(17, 71, 41, 95, 39, 93)(21, 75, 43, 97, 47, 101)(23, 77, 49, 103, 51, 105)(24, 78, 42, 96, 34, 88)(27, 81, 53, 107, 45, 99)(28, 82, 54, 108, 40, 94)(30, 84, 38, 92, 36, 90)(32, 86, 50, 104, 44, 98)(46, 100, 48, 102, 52, 106)(109, 163, 111, 165, 114, 168)(110, 164, 116, 170, 118, 172)(112, 166, 124, 178, 120, 174)(113, 167, 121, 175, 127, 181)(115, 169, 129, 183, 122, 176)(117, 171, 135, 189, 132, 186)(119, 173, 137, 191, 133, 187)(123, 177, 145, 199, 139, 193)(125, 179, 140, 194, 148, 202)(126, 180, 151, 205, 141, 195)(128, 182, 153, 207, 142, 196)(130, 184, 155, 209, 143, 197)(131, 185, 144, 198, 156, 210)(134, 188, 161, 215, 150, 204)(136, 190, 149, 203, 158, 212)(138, 192, 160, 214, 157, 211)(146, 200, 154, 208, 159, 213)(147, 201, 152, 206, 162, 216)
	L = (1, 112)(2, 117)(3, 120)(4, 125)(5, 126)(6, 124)(7, 109)(8, 132)(9, 136)(10, 135)(11, 110)(12, 140)(13, 141)(14, 111)(15, 146)(16, 148)(17, 150)(18, 152)(19, 151)(20, 113)(21, 114)(22, 157)(23, 115)(24, 149)(25, 116)(26, 156)(27, 158)(28, 143)(29, 118)(30, 119)(31, 154)(32, 161)(33, 162)(34, 121)(35, 138)(36, 122)(37, 159)(38, 153)(39, 123)(40, 134)(41, 155)(42, 131)(43, 147)(44, 139)(45, 127)(46, 128)(47, 160)(48, 129)(49, 137)(50, 130)(51, 142)(52, 133)(53, 144)(54, 145)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.898
Graph:: simple bipartite
	v = 36 e = 108 f = 18
	degree seq :: [ 6^36 ]

E28.867 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, Y2^-1 * Y3 * Y2 * Y3, (R * Y3)^2, (Y2 * R)^2, (R * Y1)^2, Y2^-1 * Y3 * Y1 * Y3 * Y2^-1 * Y1, (Y2 * Y1^-1)^3, (Y2 * Y1^-1)^3, Y2 * Y3 * Y1^-1 * Y3 * Y2 * Y1^-1, (Y2^-1 * Y1^-1)^3, Y3 * Y1 * Y3 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 10, 64, 12, 66)(4, 58, 13, 67, 14, 68)(6, 60, 19, 73, 20, 74)(7, 61, 21, 75, 23, 77)(8, 62, 24, 78, 25, 79)(9, 63, 27, 81, 28, 82)(11, 65, 32, 86, 26, 80)(15, 69, 38, 92, 39, 93)(16, 70, 40, 94, 36, 90)(17, 71, 35, 89, 41, 95)(18, 72, 43, 97, 29, 83)(22, 76, 48, 102, 42, 96)(30, 84, 50, 104, 46, 100)(31, 85, 45, 99, 51, 105)(33, 87, 49, 103, 44, 98)(34, 88, 53, 107, 54, 108)(37, 91, 52, 106, 47, 101)(109, 163, 111, 165, 114, 168)(110, 164, 115, 169, 117, 171)(112, 166, 119, 173, 123, 177)(113, 167, 124, 178, 126, 180)(116, 170, 130, 184, 134, 188)(118, 172, 137, 191, 139, 193)(120, 174, 135, 189, 141, 195)(121, 175, 142, 196, 133, 187)(122, 176, 143, 197, 145, 199)(125, 179, 146, 200, 150, 204)(127, 181, 152, 206, 144, 198)(128, 182, 153, 207, 129, 183)(131, 185, 151, 205, 157, 211)(132, 186, 158, 212, 149, 203)(136, 190, 159, 213, 148, 202)(138, 192, 161, 215, 147, 201)(140, 194, 155, 209, 154, 208)(156, 210, 162, 216, 160, 214)
	L = (1, 112)(2, 116)(3, 119)(4, 109)(5, 125)(6, 123)(7, 130)(8, 110)(9, 134)(10, 138)(11, 111)(12, 133)(13, 135)(14, 144)(15, 114)(16, 146)(17, 113)(18, 150)(19, 143)(20, 154)(21, 155)(22, 115)(23, 149)(24, 151)(25, 120)(26, 117)(27, 121)(28, 160)(29, 161)(30, 118)(31, 147)(32, 153)(33, 142)(34, 141)(35, 127)(36, 122)(37, 152)(38, 124)(39, 139)(40, 162)(41, 131)(42, 126)(43, 132)(44, 145)(45, 140)(46, 128)(47, 129)(48, 159)(49, 158)(50, 157)(51, 156)(52, 136)(53, 137)(54, 148)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.893
Graph:: simple bipartite
	v = 36 e = 108 f = 18
	degree seq :: [ 6^36 ]

E28.868 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^3, Y2^3, Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, (Y2 * R)^2, (R * Y3)^2, (Y2 * Y1^-1)^3, (Y2 * Y1^-1)^3, (Y2 * Y1^-1)^3, Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y1^-1, (Y2^-1 * Y1^-1)^3, (Y1 * Y2^-1)^3, Y2 * Y1^-1 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y1^-1, Y3 * Y1^-1 * Y2 * Y1 * Y3 * Y1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 10, 64, 12, 66)(4, 58, 13, 67, 14, 68)(6, 60, 19, 73, 20, 74)(7, 61, 21, 75, 23, 77)(8, 62, 24, 78, 25, 79)(9, 63, 27, 81, 28, 82)(11, 65, 32, 86, 33, 87)(15, 69, 38, 92, 22, 76)(16, 70, 39, 93, 41, 95)(17, 71, 30, 84, 42, 96)(18, 72, 43, 97, 29, 83)(26, 80, 50, 104, 40, 94)(31, 85, 46, 100, 52, 106)(34, 88, 45, 99, 49, 103)(35, 89, 48, 102, 44, 98)(36, 90, 53, 107, 54, 108)(37, 91, 47, 101, 51, 105)(109, 163, 111, 165, 114, 168)(110, 164, 115, 169, 117, 171)(112, 166, 119, 173, 123, 177)(113, 167, 124, 178, 126, 180)(116, 170, 130, 184, 134, 188)(118, 172, 137, 191, 139, 193)(120, 174, 135, 189, 143, 197)(121, 175, 133, 187, 144, 198)(122, 176, 145, 199, 138, 192)(125, 179, 148, 202, 140, 194)(127, 181, 152, 206, 149, 203)(128, 182, 154, 208, 129, 183)(131, 185, 151, 205, 156, 210)(132, 186, 150, 204, 157, 211)(136, 190, 160, 214, 147, 201)(141, 195, 161, 215, 153, 207)(142, 196, 159, 213, 146, 200)(155, 209, 162, 216, 158, 212)
	L = (1, 112)(2, 116)(3, 119)(4, 109)(5, 125)(6, 123)(7, 130)(8, 110)(9, 134)(10, 138)(11, 111)(12, 142)(13, 129)(14, 137)(15, 114)(16, 148)(17, 113)(18, 140)(19, 153)(20, 133)(21, 121)(22, 115)(23, 155)(24, 147)(25, 128)(26, 117)(27, 159)(28, 150)(29, 122)(30, 118)(31, 145)(32, 126)(33, 152)(34, 120)(35, 146)(36, 154)(37, 139)(38, 143)(39, 132)(40, 124)(41, 161)(42, 136)(43, 162)(44, 141)(45, 127)(46, 144)(47, 131)(48, 158)(49, 160)(50, 156)(51, 135)(52, 157)(53, 149)(54, 151)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.894
Graph:: simple bipartite
	v = 36 e = 108 f = 18
	degree seq :: [ 6^36 ]

E28.869 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y2^3, Y1^3, (R * Y3)^2, (R * Y1)^2, Y3 * Y1^-1 * Y3 * Y1^-1 * Y2, (Y1 * Y2)^3, Y2 * Y1 * Y3 * Y2^-1 * Y3 * Y1^-1, (Y2^-1 * Y1)^3, (R * Y2 * Y3)^2, Y1^-1 * Y2^-1 * Y1 * R * Y2^-1 * R, (Y1^-1 * Y2^-1 * Y3)^2, (Y1^-1 * Y2^-1)^3, (Y3 * Y2^-1 * Y1^-1)^2, (Y1 * Y2^-1)^3, Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1, Y2 * R * Y2 * Y1^-1 * Y2^-1 * R * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 10, 64, 12, 66)(4, 58, 13, 67, 15, 69)(6, 60, 20, 74, 22, 76)(7, 61, 23, 77, 25, 79)(8, 62, 11, 65, 27, 81)(9, 63, 28, 82, 30, 84)(14, 68, 39, 93, 41, 95)(16, 70, 18, 72, 24, 78)(17, 71, 40, 94, 43, 97)(19, 73, 42, 96, 31, 85)(21, 75, 46, 100, 26, 80)(29, 83, 47, 101, 44, 98)(32, 86, 49, 103, 54, 108)(33, 87, 38, 92, 53, 107)(34, 88, 35, 89, 50, 104)(36, 90, 52, 106, 45, 99)(37, 91, 51, 105, 48, 102)(109, 163, 111, 165, 114, 168)(110, 164, 115, 169, 117, 171)(112, 166, 122, 176, 124, 178)(113, 167, 125, 179, 127, 181)(116, 170, 134, 188, 123, 177)(118, 172, 139, 193, 140, 194)(119, 173, 141, 195, 142, 196)(120, 174, 136, 190, 144, 198)(121, 175, 145, 199, 146, 200)(126, 180, 152, 206, 135, 189)(128, 182, 153, 207, 151, 205)(129, 183, 155, 209, 156, 210)(130, 184, 157, 211, 131, 185)(132, 186, 158, 212, 159, 213)(133, 187, 150, 204, 160, 214)(137, 191, 149, 203, 161, 215)(138, 192, 162, 216, 148, 202)(143, 197, 147, 201, 154, 208)
	L = (1, 112)(2, 116)(3, 119)(4, 109)(5, 126)(6, 129)(7, 132)(8, 110)(9, 137)(10, 134)(11, 111)(12, 143)(13, 125)(14, 148)(15, 128)(16, 150)(17, 121)(18, 113)(19, 147)(20, 123)(21, 114)(22, 145)(23, 152)(24, 115)(25, 156)(26, 118)(27, 136)(28, 135)(29, 117)(30, 141)(31, 158)(32, 149)(33, 138)(34, 160)(35, 120)(36, 146)(37, 130)(38, 144)(39, 127)(40, 122)(41, 140)(42, 124)(43, 161)(44, 131)(45, 159)(46, 157)(47, 162)(48, 133)(49, 154)(50, 139)(51, 153)(52, 142)(53, 151)(54, 155)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.895
Graph:: simple bipartite
	v = 36 e = 108 f = 18
	degree seq :: [ 6^36 ]

E28.870 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y2^3, Y1^3, (Y1^-1 * R)^2, (R * Y3)^2, Y3 * Y1^-1 * Y3 * Y2 * Y1^-1, (R * Y2 * Y3)^2, R * Y1 * Y2 * Y1^-1 * R * Y2, (Y3 * Y1^-1 * Y2^-1)^2, (Y2^-1 * Y1^-1)^3, (Y3 * Y2^-1 * Y1^-1)^2, (Y2 * Y1^-1)^3, Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 10, 64, 12, 66)(4, 58, 13, 67, 15, 69)(6, 60, 20, 74, 22, 76)(7, 61, 23, 77, 25, 79)(8, 62, 14, 68, 27, 81)(9, 63, 29, 83, 30, 84)(11, 65, 34, 88, 36, 90)(16, 70, 40, 94, 24, 78)(17, 71, 41, 95, 43, 97)(18, 72, 26, 80, 21, 75)(19, 73, 44, 98, 31, 85)(28, 82, 37, 91, 42, 96)(32, 86, 35, 89, 52, 106)(33, 87, 49, 103, 54, 108)(38, 92, 51, 105, 45, 99)(39, 93, 48, 102, 53, 107)(46, 100, 47, 101, 50, 104)(109, 163, 111, 165, 114, 168)(110, 164, 115, 169, 117, 171)(112, 166, 122, 176, 124, 178)(113, 167, 125, 179, 127, 181)(116, 170, 134, 188, 136, 190)(118, 172, 139, 193, 141, 195)(119, 173, 143, 197, 145, 199)(120, 174, 137, 191, 146, 200)(121, 175, 142, 196, 126, 180)(123, 177, 147, 201, 140, 194)(128, 182, 153, 207, 151, 205)(129, 183, 155, 209, 156, 210)(130, 184, 157, 211, 131, 185)(132, 186, 154, 208, 144, 198)(133, 187, 152, 206, 159, 213)(135, 189, 160, 214, 158, 212)(138, 192, 162, 216, 149, 203)(148, 202, 150, 204, 161, 215)
	L = (1, 112)(2, 116)(3, 119)(4, 109)(5, 126)(6, 129)(7, 132)(8, 110)(9, 123)(10, 140)(11, 111)(12, 121)(13, 120)(14, 133)(15, 117)(16, 138)(17, 150)(18, 113)(19, 135)(20, 154)(21, 114)(22, 142)(23, 158)(24, 115)(25, 122)(26, 151)(27, 127)(28, 139)(29, 161)(30, 124)(31, 136)(32, 118)(33, 144)(34, 130)(35, 152)(36, 141)(37, 162)(38, 160)(39, 153)(40, 157)(41, 156)(42, 125)(43, 134)(44, 143)(45, 147)(46, 128)(47, 159)(48, 149)(49, 148)(50, 131)(51, 155)(52, 146)(53, 137)(54, 145)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.896
Graph:: simple bipartite
	v = 36 e = 108 f = 18
	degree seq :: [ 6^36 ]

E28.871 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 8>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^3, Y2^3, (R * Y3)^2, (R * Y1)^2, R * Y1 * Y2 * Y1^-1 * R * Y2^-1, R * Y1 * Y2^-1 * Y1^-1 * R * Y2, Y1 * Y3 * Y2^-1 * Y1 * Y2 * Y3, Y2^-1 * Y3 * Y2^-1 * Y1 * Y3 * Y1, Y3 * Y2 * Y3 * Y1 * Y2 * Y1^-1, (Y2 * Y1^-1)^3, Y1^-1 * R * Y2 * Y1^-1 * R * Y2^-1, (Y3 * Y1^-1 * Y2^-1)^2, (R * Y2 * Y3)^2, (Y2^-1 * Y1^-1)^3, Y3 * Y2^-1 * Y1^-1 * Y2 * Y3 * Y1^-1, Y2 * Y3 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y3, (Y2, Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 10, 64, 12, 66)(4, 58, 13, 67, 15, 69)(6, 60, 20, 74, 22, 76)(7, 61, 23, 77, 25, 79)(8, 62, 26, 80, 28, 82)(9, 63, 30, 84, 32, 86)(11, 65, 36, 90, 24, 78)(14, 68, 42, 96, 43, 97)(16, 70, 38, 92, 29, 83)(17, 71, 45, 99, 46, 100)(18, 72, 47, 101, 49, 103)(19, 73, 50, 104, 33, 87)(21, 75, 40, 94, 27, 81)(31, 85, 37, 91, 48, 102)(34, 88, 51, 105, 52, 106)(35, 89, 41, 95, 54, 108)(39, 93, 53, 107, 44, 98)(109, 163, 111, 165, 114, 168)(110, 164, 115, 169, 117, 171)(112, 166, 122, 176, 124, 178)(113, 167, 125, 179, 127, 181)(116, 170, 135, 189, 137, 191)(118, 172, 141, 195, 143, 197)(119, 173, 134, 188, 145, 199)(120, 174, 138, 192, 147, 201)(121, 175, 148, 202, 144, 198)(123, 177, 139, 193, 142, 196)(126, 180, 156, 210, 146, 200)(128, 182, 152, 206, 154, 208)(129, 183, 159, 213, 157, 211)(130, 184, 149, 203, 131, 185)(132, 186, 155, 209, 151, 205)(133, 187, 158, 212, 161, 215)(136, 190, 150, 204, 160, 214)(140, 194, 162, 216, 153, 207)
	L = (1, 112)(2, 116)(3, 119)(4, 109)(5, 126)(6, 129)(7, 132)(8, 110)(9, 139)(10, 142)(11, 111)(12, 146)(13, 149)(14, 140)(15, 152)(16, 133)(17, 144)(18, 113)(19, 150)(20, 151)(21, 114)(22, 156)(23, 160)(24, 115)(25, 124)(26, 162)(27, 141)(28, 147)(29, 154)(30, 148)(31, 117)(32, 122)(33, 135)(34, 118)(35, 155)(36, 125)(37, 158)(38, 120)(39, 136)(40, 138)(41, 121)(42, 127)(43, 128)(44, 123)(45, 159)(46, 137)(47, 143)(48, 130)(49, 161)(50, 145)(51, 153)(52, 131)(53, 157)(54, 134)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.899
Graph:: simple bipartite
	v = 36 e = 108 f = 18
	degree seq :: [ 6^36 ]

E28.872 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y2^-1 * Y3^2, Y1^3, (Y3^-1 * Y2^-1)^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y1^-1, Y2 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, (Y2 * Y1^-1)^3, Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y1 * Y2^-1 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 14, 68)(4, 58, 15, 69, 16, 70)(6, 60, 21, 75, 22, 76)(7, 61, 23, 77, 24, 78)(8, 62, 25, 79, 27, 81)(9, 63, 28, 82, 29, 83)(10, 64, 30, 84, 31, 85)(11, 65, 32, 86, 33, 87)(13, 67, 38, 92, 26, 80)(17, 71, 47, 101, 44, 98)(18, 72, 37, 91, 48, 102)(19, 73, 49, 103, 34, 88)(20, 74, 45, 99, 50, 104)(35, 89, 53, 107, 41, 95)(36, 90, 42, 96, 54, 108)(39, 93, 43, 97, 51, 105)(40, 94, 52, 106, 46, 100)(109, 163, 111, 165, 114, 168)(110, 164, 116, 170, 118, 172)(112, 166, 121, 175, 115, 169)(113, 167, 125, 179, 127, 181)(117, 171, 134, 188, 119, 173)(120, 174, 142, 196, 144, 198)(122, 176, 138, 192, 148, 202)(123, 177, 149, 203, 141, 195)(124, 178, 151, 205, 153, 207)(126, 180, 146, 200, 128, 182)(129, 183, 154, 208, 152, 206)(130, 184, 150, 204, 133, 187)(131, 185, 137, 191, 147, 201)(132, 186, 145, 199, 143, 197)(135, 189, 157, 211, 160, 214)(136, 190, 161, 215, 158, 212)(139, 193, 162, 216, 155, 209)(140, 194, 156, 210, 159, 213)
	L = (1, 112)(2, 117)(3, 121)(4, 111)(5, 126)(6, 115)(7, 109)(8, 134)(9, 116)(10, 119)(11, 110)(12, 143)(13, 114)(14, 147)(15, 133)(16, 152)(17, 146)(18, 125)(19, 128)(20, 113)(21, 153)(22, 141)(23, 148)(24, 144)(25, 149)(26, 118)(27, 159)(28, 155)(29, 122)(30, 131)(31, 158)(32, 160)(33, 150)(34, 132)(35, 142)(36, 145)(37, 120)(38, 127)(39, 138)(40, 137)(41, 130)(42, 123)(43, 129)(44, 151)(45, 154)(46, 124)(47, 161)(48, 135)(49, 140)(50, 162)(51, 157)(52, 156)(53, 139)(54, 136)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.897
Graph:: simple bipartite
	v = 36 e = 108 f = 18
	degree seq :: [ 6^36 ]

E28.873 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, Y2^6, Y2 * Y1^-1 * Y2^-2 * Y1^-1 * Y2 * Y1, Y2^-1 * Y1^-1 * Y2^2 * Y1^-1 * Y2^-1 * Y1, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 55, 2, 56, 4, 58)(3, 57, 8, 62, 10, 64)(5, 59, 13, 67, 14, 68)(6, 60, 16, 70, 18, 72)(7, 61, 19, 73, 20, 74)(9, 63, 24, 78, 26, 80)(11, 65, 29, 83, 31, 85)(12, 66, 32, 86, 33, 87)(15, 69, 39, 93, 40, 94)(17, 71, 22, 76, 44, 98)(21, 75, 36, 90, 47, 101)(23, 77, 42, 96, 37, 91)(25, 79, 50, 104, 43, 97)(27, 81, 30, 84, 41, 95)(28, 82, 35, 89, 45, 99)(34, 88, 46, 100, 38, 92)(48, 102, 49, 103, 53, 107)(51, 105, 52, 106, 54, 108)(109, 163, 111, 165, 117, 171, 133, 187, 123, 177, 113, 167)(110, 164, 114, 168, 125, 179, 151, 205, 129, 183, 115, 169)(112, 166, 119, 173, 138, 192, 158, 212, 142, 196, 120, 174)(116, 170, 130, 184, 156, 210, 148, 202, 128, 182, 131, 185)(118, 172, 135, 189, 160, 214, 147, 201, 140, 194, 136, 190)(121, 175, 143, 197, 126, 180, 134, 188, 159, 213, 144, 198)(122, 176, 145, 199, 137, 191, 132, 186, 157, 211, 146, 200)(124, 178, 149, 203, 161, 215, 155, 209, 141, 195, 150, 204)(127, 181, 153, 207, 139, 193, 152, 206, 162, 216, 154, 208)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.874 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^3, (Y2 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y1^2 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2^6, (Y3^-1 * Y1^-1)^3, Y2^-1 * Y1 * Y2^4 * Y1 * Y2^-1 * Y1^-1, (Y2^2 * Y1)^3, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 55, 2, 56, 4, 58)(3, 57, 8, 62, 7, 61)(5, 59, 10, 64, 12, 66)(6, 60, 14, 68, 11, 65)(9, 63, 19, 73, 18, 72)(13, 67, 23, 77, 25, 79)(15, 69, 28, 82, 27, 81)(16, 70, 17, 71, 30, 84)(20, 74, 35, 89, 34, 88)(21, 75, 36, 90, 24, 78)(22, 76, 26, 80, 38, 92)(29, 83, 45, 99, 44, 98)(31, 85, 40, 94, 46, 100)(32, 86, 33, 87, 42, 96)(37, 91, 51, 105, 50, 104)(39, 93, 43, 97, 41, 95)(47, 101, 53, 107, 52, 106)(48, 102, 49, 103, 54, 108)(109, 163, 111, 165, 117, 171, 128, 182, 121, 175, 113, 167)(110, 164, 114, 168, 123, 177, 137, 191, 124, 178, 115, 169)(112, 166, 118, 172, 129, 183, 145, 199, 130, 184, 119, 173)(116, 170, 125, 179, 139, 193, 155, 209, 140, 194, 126, 180)(120, 174, 131, 185, 147, 201, 160, 214, 148, 202, 132, 186)(122, 176, 134, 188, 150, 204, 161, 215, 151, 205, 135, 189)(127, 181, 141, 195, 146, 200, 159, 213, 156, 210, 142, 196)(133, 187, 143, 197, 157, 211, 152, 206, 136, 190, 149, 203)(138, 192, 153, 207, 162, 216, 158, 212, 144, 198, 154, 208)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.875 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^3, (Y2 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^6, (Y3^-1 * Y1^-1)^3, Y2 * Y1^-2 * Y2^2 * Y1^-2 * Y2 * Y1^-1, (Y1 * Y2^-2)^3, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-2 * Y1 * Y2 * Y1^-1, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 55, 2, 56, 4, 58)(3, 57, 8, 62, 10, 64)(5, 59, 12, 66, 6, 60)(7, 61, 15, 69, 11, 65)(9, 63, 18, 72, 20, 74)(13, 67, 25, 79, 23, 77)(14, 68, 24, 78, 27, 81)(16, 70, 30, 84, 28, 82)(17, 71, 31, 85, 21, 75)(19, 73, 34, 88, 35, 89)(22, 76, 29, 83, 38, 92)(26, 80, 42, 96, 43, 97)(32, 86, 48, 102, 47, 101)(33, 87, 45, 99, 36, 90)(37, 91, 44, 98, 40, 94)(39, 93, 41, 95, 46, 100)(49, 103, 52, 106, 54, 108)(50, 104, 53, 107, 51, 105)(109, 163, 111, 165, 117, 171, 127, 181, 121, 175, 113, 167)(110, 164, 114, 168, 122, 176, 134, 188, 124, 178, 115, 169)(112, 166, 119, 173, 130, 184, 140, 194, 125, 179, 116, 170)(118, 172, 129, 183, 145, 199, 157, 211, 141, 195, 126, 180)(120, 174, 131, 185, 147, 201, 160, 214, 148, 202, 132, 186)(123, 177, 136, 190, 153, 207, 162, 216, 154, 208, 137, 191)(128, 182, 144, 198, 138, 192, 151, 205, 158, 212, 142, 196)(133, 187, 143, 197, 159, 213, 156, 210, 146, 200, 149, 203)(135, 189, 152, 206, 139, 193, 155, 209, 161, 215, 150, 204)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.876 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1 * Y2, Y3^3, Y1^3, (Y2^-1 * Y3^-1)^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2 * Y1 * Y2 * Y1^-1 * Y3^-1 * Y1^-1, (Y3^-1 * Y1^-1)^3, (Y3^-1 * Y2^-1 * Y1^-1)^2, Y3 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y3 * Y2 * Y1^-1 * Y2 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 14, 68)(4, 58, 15, 69, 16, 70)(6, 60, 21, 75, 22, 76)(7, 61, 23, 77, 24, 78)(8, 62, 25, 79, 27, 81)(9, 63, 28, 82, 29, 83)(10, 64, 30, 84, 31, 85)(11, 65, 32, 86, 33, 87)(13, 67, 36, 90, 26, 80)(17, 71, 43, 97, 47, 101)(18, 72, 48, 102, 37, 91)(19, 73, 40, 94, 49, 103)(20, 74, 50, 104, 42, 96)(34, 88, 41, 95, 51, 105)(35, 89, 52, 106, 44, 98)(38, 92, 53, 107, 45, 99)(39, 93, 46, 100, 54, 108)(109, 163, 111, 165, 112, 166, 121, 175, 115, 169, 114, 168)(110, 164, 116, 170, 117, 171, 134, 188, 119, 173, 118, 172)(113, 167, 125, 179, 126, 180, 144, 198, 128, 182, 127, 181)(120, 174, 136, 190, 142, 196, 132, 186, 139, 193, 143, 197)(122, 176, 145, 199, 146, 200, 131, 185, 148, 202, 147, 201)(123, 177, 149, 203, 150, 204, 130, 184, 152, 206, 151, 205)(124, 178, 153, 207, 140, 194, 129, 183, 154, 208, 135, 189)(133, 187, 156, 210, 159, 213, 141, 195, 157, 211, 160, 214)(137, 191, 161, 215, 158, 212, 138, 192, 162, 216, 155, 209)
	L = (1, 112)(2, 117)(3, 121)(4, 115)(5, 126)(6, 111)(7, 109)(8, 134)(9, 119)(10, 116)(11, 110)(12, 142)(13, 114)(14, 146)(15, 150)(16, 140)(17, 144)(18, 128)(19, 125)(20, 113)(21, 135)(22, 151)(23, 147)(24, 143)(25, 159)(26, 118)(27, 153)(28, 132)(29, 158)(30, 155)(31, 120)(32, 154)(33, 160)(34, 139)(35, 136)(36, 127)(37, 131)(38, 148)(39, 145)(40, 122)(41, 130)(42, 152)(43, 149)(44, 123)(45, 129)(46, 124)(47, 161)(48, 141)(49, 133)(50, 162)(51, 157)(52, 156)(53, 138)(54, 137)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.877
Graph:: bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.877 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3, Y3^3, Y1^3, (Y1^-1 * Y2)^2, (R * Y1)^2, (Y1 * Y2^-1)^2, (R * Y2)^2, (R * Y3)^2, (Y3^-1 * Y2^-1)^2, (Y3 * Y1^-1)^3, (Y1 * Y3)^3 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 10, 64)(4, 58, 14, 68, 15, 69)(6, 60, 16, 70, 20, 74)(7, 61, 21, 75, 22, 76)(8, 62, 23, 77, 18, 72)(9, 63, 25, 79, 26, 80)(11, 65, 27, 81, 28, 82)(13, 67, 31, 85, 32, 86)(17, 71, 38, 92, 39, 93)(19, 73, 40, 94, 34, 88)(24, 78, 48, 102, 49, 103)(29, 83, 42, 96, 52, 106)(30, 84, 33, 87, 46, 100)(35, 89, 44, 98, 51, 105)(36, 90, 50, 104, 43, 97)(37, 91, 53, 107, 54, 108)(41, 95, 47, 101, 45, 99)(109, 163, 111, 165, 112, 166, 121, 175, 115, 169, 114, 168)(110, 164, 116, 170, 117, 171, 132, 186, 119, 173, 118, 172)(113, 167, 124, 178, 125, 179, 145, 199, 127, 181, 126, 180)(120, 174, 135, 189, 137, 191, 144, 198, 138, 192, 123, 177)(122, 176, 141, 195, 142, 196, 161, 215, 143, 197, 140, 194)(128, 182, 129, 183, 149, 203, 151, 205, 150, 204, 147, 201)(130, 184, 139, 193, 152, 206, 157, 211, 133, 187, 153, 207)(131, 185, 148, 202, 154, 208, 158, 212, 155, 209, 134, 188)(136, 190, 156, 210, 159, 213, 162, 216, 146, 200, 160, 214)
	L = (1, 112)(2, 117)(3, 121)(4, 115)(5, 125)(6, 111)(7, 109)(8, 132)(9, 119)(10, 116)(11, 110)(12, 137)(13, 114)(14, 142)(15, 135)(16, 145)(17, 127)(18, 124)(19, 113)(20, 149)(21, 151)(22, 152)(23, 154)(24, 118)(25, 130)(26, 148)(27, 144)(28, 159)(29, 138)(30, 120)(31, 157)(32, 141)(33, 161)(34, 143)(35, 122)(36, 123)(37, 126)(38, 136)(39, 129)(40, 158)(41, 150)(42, 128)(43, 147)(44, 133)(45, 139)(46, 155)(47, 131)(48, 162)(49, 153)(50, 134)(51, 146)(52, 156)(53, 140)(54, 160)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.876
Graph:: bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.878 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3, Y1^3, Y3^3, (Y2^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y3^-1 * Y2^-1)^2, (Y3 * Y1^-1)^3, (Y1 * Y3)^3, Y2 * Y1^-1 * Y3 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 14, 68)(4, 58, 15, 69, 16, 70)(6, 60, 20, 74, 8, 62)(7, 61, 21, 75, 22, 76)(9, 63, 24, 78, 25, 79)(10, 64, 26, 80, 17, 71)(11, 65, 27, 81, 28, 82)(13, 67, 30, 84, 31, 85)(18, 72, 38, 92, 39, 93)(19, 73, 40, 94, 32, 86)(23, 77, 46, 100, 47, 101)(29, 83, 53, 107, 54, 108)(33, 87, 48, 102, 42, 96)(34, 88, 50, 104, 36, 90)(35, 89, 45, 99, 52, 106)(37, 91, 49, 103, 43, 97)(41, 95, 44, 98, 51, 105)(109, 163, 111, 165, 112, 166, 121, 175, 115, 169, 114, 168)(110, 164, 116, 170, 117, 171, 131, 185, 119, 173, 118, 172)(113, 167, 125, 179, 126, 180, 137, 191, 127, 181, 120, 174)(122, 176, 140, 194, 141, 195, 143, 197, 142, 196, 123, 177)(124, 178, 144, 198, 135, 189, 155, 209, 145, 199, 138, 192)(128, 182, 130, 184, 149, 203, 153, 207, 150, 204, 132, 186)(129, 183, 139, 193, 151, 205, 161, 215, 147, 201, 152, 206)(133, 187, 156, 210, 148, 202, 162, 216, 157, 211, 154, 208)(134, 188, 136, 190, 158, 212, 160, 214, 159, 213, 146, 200)
	L = (1, 112)(2, 117)(3, 121)(4, 115)(5, 126)(6, 111)(7, 109)(8, 131)(9, 119)(10, 116)(11, 110)(12, 125)(13, 114)(14, 141)(15, 140)(16, 135)(17, 137)(18, 127)(19, 113)(20, 149)(21, 151)(22, 153)(23, 118)(24, 130)(25, 148)(26, 158)(27, 145)(28, 160)(29, 120)(30, 144)(31, 161)(32, 143)(33, 142)(34, 122)(35, 123)(36, 155)(37, 124)(38, 136)(39, 129)(40, 157)(41, 150)(42, 128)(43, 147)(44, 139)(45, 132)(46, 156)(47, 138)(48, 162)(49, 133)(50, 159)(51, 134)(52, 146)(53, 152)(54, 154)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.879 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, (Y1 * Y2^-1)^2, (R * Y3)^2, (R * Y1)^2, Y2^-2 * Y3 * Y1^-1 * Y3^-1, Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1, Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y2 * Y3 * Y1^-1)^2, Y2^-1 * Y1^-1 * R * Y2 * R * Y3^-1, Y1^-1 * Y2^-1 * Y1^-1 * Y2^3, Y2^-1 * Y1^-1 * Y2^-3 * Y1^-1, (Y3 * Y2 * Y1^-1)^2, Y3 * Y1^-1 * Y2^2 * Y3^-1 * Y1^-1, (Y3^-1 * Y1^-1)^3 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 10, 64)(4, 58, 16, 70, 18, 72)(6, 60, 20, 74, 25, 79)(7, 61, 28, 82, 30, 84)(8, 62, 32, 86, 22, 76)(9, 63, 35, 89, 36, 90)(11, 65, 41, 95, 42, 96)(13, 67, 33, 87, 45, 99)(14, 68, 24, 78, 43, 97)(15, 69, 19, 73, 37, 91)(17, 71, 27, 81, 40, 94)(21, 75, 52, 106, 50, 104)(23, 77, 53, 107, 47, 101)(26, 80, 39, 93, 44, 98)(29, 83, 34, 88, 38, 92)(31, 85, 51, 105, 48, 102)(46, 100, 54, 108, 49, 103)(109, 163, 111, 165, 121, 175, 140, 194, 134, 188, 114, 168)(110, 164, 116, 170, 141, 195, 133, 187, 147, 201, 118, 172)(112, 166, 125, 179, 143, 197, 162, 216, 158, 212, 127, 181)(113, 167, 128, 182, 153, 207, 120, 174, 152, 206, 130, 184)(115, 169, 137, 191, 131, 185, 151, 205, 119, 173, 139, 193)(117, 171, 135, 189, 160, 214, 157, 211, 126, 180, 145, 199)(122, 176, 138, 192, 159, 213, 155, 209, 142, 196, 150, 204)(123, 177, 129, 183, 148, 202, 124, 178, 154, 208, 144, 198)(132, 186, 161, 215, 156, 210, 149, 203, 146, 200, 136, 190)
	L = (1, 112)(2, 117)(3, 122)(4, 115)(5, 129)(6, 132)(7, 109)(8, 142)(9, 119)(10, 146)(11, 110)(12, 139)(13, 126)(14, 123)(15, 111)(16, 155)(17, 130)(18, 149)(19, 116)(20, 159)(21, 131)(22, 156)(23, 113)(24, 135)(25, 137)(26, 124)(27, 114)(28, 153)(29, 157)(30, 147)(31, 154)(32, 151)(33, 144)(34, 127)(35, 138)(36, 161)(37, 128)(38, 148)(39, 143)(40, 118)(41, 121)(42, 152)(43, 162)(44, 160)(45, 158)(46, 120)(47, 134)(48, 125)(49, 133)(50, 136)(51, 145)(52, 150)(53, 141)(54, 140)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.882
Graph:: simple bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.880 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (Y2^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * Y1^-1)^2, Y3 * Y1 * Y3^-1 * Y2^-2, Y1^-1 * Y2 * Y3^-1 * Y2 * Y3^-1, Y3^-1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1, (Y1^-1 * Y2^-1 * Y3^-1)^2, (R * Y2 * Y3^-1)^2, Y2^-2 * Y1 * Y2^2 * Y1^-1, (Y3 * Y2^-1 * Y1^-1)^2, Y3^-1 * Y1^-1 * Y3 * Y2^-2 * Y1^-1, (Y3^-1 * Y1^-1)^3, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, (Y3 * Y1^-1)^3, Y2 * Y1^-1 * Y2^3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 15, 69)(4, 58, 17, 71, 19, 73)(6, 60, 24, 78, 8, 62)(7, 61, 28, 82, 30, 84)(9, 63, 35, 89, 37, 91)(10, 64, 38, 92, 21, 75)(11, 65, 41, 95, 43, 97)(13, 67, 32, 86, 46, 100)(14, 68, 42, 96, 25, 79)(16, 70, 34, 88, 20, 74)(18, 72, 36, 90, 27, 81)(22, 76, 50, 104, 52, 106)(23, 77, 48, 102, 47, 101)(26, 80, 40, 94, 45, 99)(29, 83, 44, 98, 53, 107)(31, 85, 39, 93, 33, 87)(49, 103, 51, 105, 54, 108)(109, 163, 111, 165, 121, 175, 146, 200, 134, 188, 114, 168)(110, 164, 116, 170, 140, 194, 123, 177, 148, 202, 118, 172)(112, 166, 126, 180, 160, 214, 162, 216, 143, 197, 128, 182)(113, 167, 129, 183, 154, 208, 132, 186, 153, 207, 120, 174)(115, 169, 137, 191, 119, 173, 150, 204, 131, 185, 139, 193)(117, 171, 144, 198, 127, 181, 157, 211, 158, 212, 124, 178)(122, 176, 136, 190, 141, 195, 149, 203, 161, 215, 156, 210)(125, 179, 142, 196, 130, 184, 135, 189, 145, 199, 159, 213)(133, 187, 151, 205, 147, 201, 155, 209, 152, 206, 138, 192)
	L = (1, 112)(2, 117)(3, 122)(4, 115)(5, 130)(6, 133)(7, 109)(8, 141)(9, 119)(10, 147)(11, 110)(12, 152)(13, 125)(14, 124)(15, 139)(16, 111)(17, 155)(18, 118)(19, 149)(20, 129)(21, 161)(22, 131)(23, 113)(24, 137)(25, 135)(26, 127)(27, 114)(28, 153)(29, 159)(30, 140)(31, 157)(32, 143)(33, 142)(34, 116)(35, 138)(36, 120)(37, 156)(38, 150)(39, 126)(40, 145)(41, 134)(42, 162)(43, 154)(44, 144)(45, 160)(46, 158)(47, 121)(48, 148)(49, 123)(50, 151)(51, 132)(52, 136)(53, 128)(54, 146)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.884
Graph:: simple bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.881 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3, Y1^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, Y2^6, Y2 * Y1^-1 * Y2^-2 * Y1^-1 * Y2 * Y1, Y2^-2 * Y3 * Y2 * Y1^-1 * Y2 * Y1, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 4, 58)(3, 57, 8, 62, 10, 64)(5, 59, 13, 67, 14, 68)(6, 60, 16, 70, 18, 72)(7, 61, 19, 73, 20, 74)(9, 63, 24, 78, 26, 80)(11, 65, 29, 83, 31, 85)(12, 66, 32, 86, 33, 87)(15, 69, 39, 93, 40, 94)(17, 71, 22, 76, 44, 98)(21, 75, 36, 90, 47, 101)(23, 77, 42, 96, 37, 91)(25, 79, 50, 104, 43, 97)(27, 81, 30, 84, 41, 95)(28, 82, 35, 89, 45, 99)(34, 88, 46, 100, 38, 92)(48, 102, 49, 103, 53, 107)(51, 105, 52, 106, 54, 108)(109, 163, 111, 165, 117, 171, 133, 187, 123, 177, 113, 167)(110, 164, 114, 168, 125, 179, 151, 205, 129, 183, 115, 169)(112, 166, 119, 173, 138, 192, 158, 212, 142, 196, 120, 174)(116, 170, 130, 184, 156, 210, 148, 202, 128, 182, 131, 185)(118, 172, 135, 189, 160, 214, 147, 201, 140, 194, 136, 190)(121, 175, 143, 197, 126, 180, 134, 188, 159, 213, 144, 198)(122, 176, 145, 199, 137, 191, 132, 186, 157, 211, 146, 200)(124, 178, 149, 203, 161, 215, 155, 209, 141, 195, 150, 204)(127, 181, 153, 207, 139, 193, 152, 206, 162, 216, 154, 208)
	L = (1, 110)(2, 112)(3, 116)(4, 109)(5, 121)(6, 124)(7, 127)(8, 118)(9, 132)(10, 111)(11, 137)(12, 140)(13, 122)(14, 113)(15, 147)(16, 126)(17, 130)(18, 114)(19, 128)(20, 115)(21, 144)(22, 152)(23, 150)(24, 134)(25, 158)(26, 117)(27, 138)(28, 143)(29, 139)(30, 149)(31, 119)(32, 141)(33, 120)(34, 154)(35, 153)(36, 155)(37, 131)(38, 142)(39, 148)(40, 123)(41, 135)(42, 145)(43, 133)(44, 125)(45, 136)(46, 146)(47, 129)(48, 157)(49, 161)(50, 151)(51, 160)(52, 162)(53, 156)(54, 159)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.882 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, Y3^-1 * Y1^-1 * Y2^-2, (Y2^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3, Y1 * Y2 * R * Y2^-1 * R, Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3^-1 * Y1^-1 * Y2^4, (Y1 * Y3^-1)^3 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 10, 64)(4, 58, 16, 70, 18, 72)(6, 60, 20, 74, 24, 78)(7, 61, 25, 79, 13, 67)(8, 62, 28, 82, 17, 71)(9, 63, 31, 85, 32, 86)(11, 65, 35, 89, 29, 83)(14, 68, 30, 84, 37, 91)(15, 69, 27, 81, 33, 87)(19, 73, 45, 99, 46, 100)(21, 75, 38, 92, 47, 101)(22, 76, 48, 102, 42, 96)(23, 77, 49, 103, 50, 104)(26, 80, 41, 95, 34, 88)(36, 90, 54, 108, 44, 98)(39, 93, 52, 106, 43, 97)(40, 94, 53, 107, 51, 105)(109, 163, 111, 165, 121, 175, 141, 195, 117, 171, 114, 168)(110, 164, 116, 170, 137, 191, 122, 176, 129, 183, 118, 172)(112, 166, 125, 179, 113, 167, 128, 182, 150, 204, 127, 181)(115, 169, 134, 188, 126, 180, 153, 207, 159, 213, 135, 189)(119, 173, 144, 198, 140, 194, 123, 177, 148, 202, 145, 199)(120, 174, 146, 200, 158, 212, 147, 201, 142, 196, 133, 187)(124, 178, 149, 203, 160, 214, 152, 206, 143, 197, 136, 190)(130, 184, 157, 211, 155, 209, 138, 192, 161, 215, 154, 208)(131, 185, 156, 210, 132, 186, 139, 193, 162, 216, 151, 205)
	L = (1, 112)(2, 117)(3, 122)(4, 115)(5, 129)(6, 131)(7, 109)(8, 127)(9, 119)(10, 142)(11, 110)(12, 114)(13, 147)(14, 123)(15, 111)(16, 150)(17, 152)(18, 143)(19, 138)(20, 141)(21, 130)(22, 113)(23, 120)(24, 125)(25, 159)(26, 158)(27, 144)(28, 118)(29, 160)(30, 116)(31, 121)(32, 156)(33, 153)(34, 136)(35, 148)(36, 149)(37, 157)(38, 137)(39, 139)(40, 126)(41, 135)(42, 151)(43, 124)(44, 132)(45, 128)(46, 134)(47, 133)(48, 161)(49, 162)(50, 154)(51, 155)(52, 146)(53, 140)(54, 145)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.879
Graph:: bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.883 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (R * Y3)^2, (Y1^-1 * Y2)^2, Y1^-1 * Y3 * Y2^-2, (R * Y1)^2, Y1 * Y3 * Y2 * Y3^-1 * Y2, Y3 * Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y3 * Y2^3 * Y1 * Y2^-1, (R * Y2 * Y3^-1)^2, (Y1 * Y3^-1)^3, (Y1^-1 * R * Y2)^2, (Y3^-1 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 10, 64)(4, 58, 16, 70, 18, 72)(6, 60, 19, 73, 15, 69)(7, 61, 23, 77, 26, 80)(8, 62, 28, 82, 20, 74)(9, 63, 30, 84, 31, 85)(11, 65, 33, 87, 36, 90)(13, 67, 39, 93, 38, 92)(14, 68, 40, 94, 37, 91)(17, 71, 35, 89, 34, 88)(21, 75, 47, 101, 42, 96)(22, 76, 48, 102, 44, 98)(24, 78, 32, 86, 25, 79)(27, 81, 46, 100, 45, 99)(29, 83, 52, 106, 49, 103)(41, 95, 53, 107, 50, 104)(43, 97, 51, 105, 54, 108)(109, 163, 111, 165, 121, 175, 140, 194, 131, 185, 114, 168)(110, 164, 116, 170, 112, 166, 125, 179, 141, 195, 118, 172)(113, 167, 127, 181, 117, 171, 130, 184, 155, 209, 128, 182)(115, 169, 133, 187, 159, 213, 142, 196, 124, 178, 135, 189)(119, 173, 143, 197, 162, 216, 152, 206, 138, 192, 145, 199)(120, 174, 144, 198, 122, 176, 149, 203, 160, 214, 146, 200)(123, 177, 134, 188, 154, 208, 158, 212, 148, 202, 139, 193)(126, 180, 136, 190, 150, 204, 137, 191, 161, 215, 153, 207)(129, 183, 156, 210, 151, 205, 132, 186, 147, 201, 157, 211)
	L = (1, 112)(2, 117)(3, 122)(4, 115)(5, 121)(6, 130)(7, 109)(8, 137)(9, 119)(10, 140)(11, 110)(12, 116)(13, 129)(14, 123)(15, 111)(16, 150)(17, 152)(18, 141)(19, 154)(20, 125)(21, 113)(22, 132)(23, 158)(24, 114)(25, 157)(26, 159)(27, 148)(28, 127)(29, 120)(30, 134)(31, 155)(32, 142)(33, 149)(34, 118)(35, 135)(36, 162)(37, 160)(38, 131)(39, 144)(40, 143)(41, 126)(42, 151)(43, 124)(44, 128)(45, 133)(46, 136)(47, 161)(48, 145)(49, 153)(50, 146)(51, 138)(52, 156)(53, 139)(54, 147)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.884 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, Y2^2 * Y3^-1 * Y1^-1, (Y1^-1 * Y2^-1)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y1^-1 * R * Y2^-1 * R, Y3 * Y2^-1 * Y1 * Y2 * Y1^-1, (Y1 * Y3)^3, Y1^-1 * Y2^-4 * Y3^-1, (Y1^-1 * Y3^-1 * Y2^-1)^2, (Y1 * Y3^-1)^3, Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y1 * Y3^-1, Y3^-1 * Y2 * Y3 * Y1^-1 * Y3 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 14, 68)(4, 58, 16, 70, 18, 72)(6, 60, 15, 69, 8, 62)(7, 61, 25, 79, 23, 77)(9, 63, 30, 84, 32, 86)(10, 64, 29, 83, 19, 73)(11, 65, 35, 89, 33, 87)(13, 67, 40, 94, 42, 96)(17, 71, 39, 93, 47, 101)(20, 74, 45, 99, 49, 103)(21, 75, 43, 97, 38, 92)(22, 76, 34, 88, 36, 90)(24, 78, 26, 80, 31, 85)(27, 81, 46, 100, 28, 82)(37, 91, 52, 106, 44, 98)(41, 95, 50, 104, 54, 108)(48, 102, 53, 107, 51, 105)(109, 163, 111, 165, 117, 171, 139, 193, 131, 185, 114, 168)(110, 164, 116, 170, 128, 182, 130, 184, 141, 195, 118, 172)(112, 166, 125, 179, 146, 200, 120, 174, 113, 167, 127, 181)(115, 169, 134, 188, 159, 213, 147, 201, 126, 180, 135, 189)(119, 173, 144, 198, 156, 210, 132, 186, 140, 194, 145, 199)(121, 175, 149, 203, 160, 214, 138, 192, 122, 176, 151, 205)(123, 177, 133, 187, 136, 190, 158, 212, 150, 204, 153, 207)(124, 178, 137, 191, 143, 197, 152, 206, 162, 216, 154, 208)(129, 183, 155, 209, 161, 215, 142, 196, 157, 211, 148, 202)
	L = (1, 112)(2, 117)(3, 121)(4, 115)(5, 128)(6, 130)(7, 109)(8, 136)(9, 119)(10, 125)(11, 110)(12, 139)(13, 123)(14, 127)(15, 111)(16, 146)(17, 142)(18, 143)(19, 152)(20, 129)(21, 113)(22, 132)(23, 158)(24, 114)(25, 159)(26, 145)(27, 150)(28, 137)(29, 116)(30, 131)(31, 147)(32, 151)(33, 162)(34, 118)(35, 156)(36, 148)(37, 154)(38, 149)(39, 120)(40, 160)(41, 124)(42, 155)(43, 161)(44, 122)(45, 141)(46, 134)(47, 135)(48, 126)(49, 133)(50, 138)(51, 157)(52, 144)(53, 140)(54, 153)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.880
Graph:: bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.885 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (Y2^-1 * Y1^-1)^2, (Y1^-1 * Y2^-1)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y1^-1 * Y3 * Y2, Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y1, Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y1, Y2^-1 * Y1^-1 * Y2 * Y3^-1 * Y1 * Y3^-1, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1 * Y2^-1)^2, (Y1^-1 * R * Y2^-1)^2, (Y1 * Y3)^3 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 15, 69)(4, 58, 17, 71, 18, 72)(6, 60, 23, 77, 8, 62)(7, 61, 13, 67, 26, 80)(9, 63, 31, 85, 32, 86)(10, 64, 33, 87, 20, 74)(11, 65, 28, 82, 36, 90)(14, 68, 41, 95, 42, 96)(16, 70, 29, 83, 27, 81)(19, 73, 37, 91, 30, 84)(21, 75, 45, 99, 40, 94)(22, 76, 43, 97, 46, 100)(24, 78, 50, 104, 35, 89)(25, 79, 38, 92, 47, 101)(34, 88, 53, 107, 49, 103)(39, 93, 48, 102, 52, 106)(44, 98, 51, 105, 54, 108)(109, 163, 111, 165, 121, 175, 137, 191, 129, 183, 114, 168)(110, 164, 116, 170, 136, 190, 127, 181, 112, 166, 118, 172)(113, 167, 128, 182, 151, 205, 122, 176, 117, 171, 120, 174)(115, 169, 133, 187, 125, 179, 138, 192, 159, 213, 135, 189)(119, 173, 143, 197, 139, 193, 150, 204, 162, 216, 145, 199)(123, 177, 140, 194, 158, 212, 147, 201, 146, 200, 134, 188)(124, 178, 152, 206, 149, 203, 130, 184, 157, 211, 153, 207)(126, 180, 155, 209, 160, 214, 142, 196, 154, 208, 141, 195)(131, 185, 148, 202, 161, 215, 156, 210, 132, 186, 144, 198)
	L = (1, 112)(2, 117)(3, 122)(4, 115)(5, 129)(6, 132)(7, 109)(8, 137)(9, 119)(10, 142)(11, 110)(12, 146)(13, 147)(14, 124)(15, 114)(16, 111)(17, 154)(18, 136)(19, 150)(20, 127)(21, 130)(22, 113)(23, 118)(24, 123)(25, 158)(26, 159)(27, 157)(28, 156)(29, 138)(30, 116)(31, 134)(32, 151)(33, 120)(34, 131)(35, 161)(36, 162)(37, 133)(38, 141)(39, 148)(40, 121)(41, 143)(42, 128)(43, 160)(44, 125)(45, 144)(46, 152)(47, 135)(48, 126)(49, 155)(50, 145)(51, 139)(52, 140)(53, 149)(54, 153)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.886 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, (Y2^-1 * Y3^-1)^2, (R * Y3)^2, (Y2 * Y1^-1)^2, (R * Y1)^2, Y1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, (Y3^-1 * Y1^-1)^3, Y2^-1 * Y1^-1 * Y2^-3 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1^-1, (Y3 * Y1^-1)^3, Y1^-1 * Y2^-1 * Y1^-1 * Y2^3, (Y3^-1 * Y1 * Y2)^2 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 10, 64)(4, 58, 16, 70, 18, 72)(6, 60, 20, 74, 25, 79)(7, 61, 27, 81, 29, 83)(8, 62, 30, 84, 22, 76)(9, 63, 34, 88, 36, 90)(11, 65, 39, 93, 40, 94)(13, 67, 31, 85, 43, 97)(14, 68, 24, 78, 45, 99)(15, 69, 33, 87, 19, 73)(17, 71, 35, 89, 48, 102)(21, 75, 50, 104, 49, 103)(23, 77, 52, 106, 47, 101)(26, 80, 38, 92, 41, 95)(28, 82, 51, 105, 42, 96)(32, 86, 37, 91, 53, 107)(44, 98, 46, 100, 54, 108)(109, 163, 111, 165, 121, 175, 138, 192, 134, 188, 114, 168)(110, 164, 116, 170, 139, 193, 133, 187, 146, 200, 118, 172)(112, 166, 125, 179, 142, 196, 162, 216, 157, 211, 127, 181)(113, 167, 128, 182, 151, 205, 120, 174, 149, 203, 130, 184)(115, 169, 136, 190, 131, 185, 140, 194, 119, 173, 122, 176)(117, 171, 143, 197, 158, 212, 152, 206, 126, 180, 123, 177)(124, 178, 154, 208, 144, 198, 141, 195, 129, 183, 156, 210)(132, 186, 155, 209, 159, 213, 148, 202, 145, 199, 137, 191)(135, 189, 161, 215, 160, 214, 153, 207, 147, 201, 150, 204)
	L = (1, 112)(2, 117)(3, 122)(4, 115)(5, 129)(6, 132)(7, 109)(8, 140)(9, 119)(10, 145)(11, 110)(12, 150)(13, 126)(14, 123)(15, 111)(16, 155)(17, 114)(18, 147)(19, 128)(20, 136)(21, 131)(22, 159)(23, 113)(24, 125)(25, 161)(26, 124)(27, 151)(28, 127)(29, 146)(30, 153)(31, 144)(32, 141)(33, 116)(34, 137)(35, 118)(36, 160)(37, 143)(38, 142)(39, 121)(40, 149)(41, 158)(42, 152)(43, 157)(44, 120)(45, 154)(46, 138)(47, 134)(48, 130)(49, 135)(50, 148)(51, 156)(52, 139)(53, 162)(54, 133)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.889
Graph:: simple bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.887 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, (Y2^-1 * Y3^-1)^2, (Y1 * R)^2, (Y1^-1 * Y2^-1)^2, (R * Y3)^2, Y1 * Y3^-1 * Y2^-2 * Y3, Y3 * R * Y2 * R * Y2^-1, (Y3 * Y1^-1)^3, Y1 * Y2 * Y3^-1 * Y1^-1 * Y3 * Y2^-1, (Y1^-1 * Y2 * Y3^-1)^2, Y2 * Y1^-1 * Y2^-3 * Y1^-1, Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1^-1, Y1^-1 * Y2 * Y1^-1 * Y2^3, (Y3^-1 * Y1^-1)^3 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 15, 69)(4, 58, 17, 71, 19, 73)(6, 60, 24, 78, 8, 62)(7, 61, 27, 81, 29, 83)(9, 63, 31, 85, 33, 87)(10, 64, 35, 89, 21, 75)(11, 65, 38, 92, 40, 94)(13, 67, 30, 84, 44, 98)(14, 68, 46, 100, 25, 79)(16, 70, 20, 74, 34, 88)(18, 72, 32, 86, 43, 97)(22, 76, 51, 105, 49, 103)(23, 77, 52, 106, 45, 99)(26, 80, 37, 91, 42, 96)(28, 82, 47, 101, 36, 90)(39, 93, 53, 107, 41, 95)(48, 102, 54, 108, 50, 104)(109, 163, 111, 165, 121, 175, 143, 197, 134, 188, 114, 168)(110, 164, 116, 170, 138, 192, 123, 177, 145, 199, 118, 172)(112, 166, 126, 180, 157, 211, 162, 216, 139, 193, 128, 182)(113, 167, 129, 183, 152, 206, 132, 186, 150, 204, 120, 174)(115, 169, 136, 190, 119, 173, 147, 201, 131, 185, 122, 176)(117, 171, 140, 194, 127, 181, 158, 212, 159, 213, 142, 196)(124, 178, 130, 184, 151, 205, 141, 195, 156, 210, 125, 179)(133, 187, 146, 200, 144, 198, 160, 214, 149, 203, 135, 189)(137, 191, 161, 215, 148, 202, 154, 208, 153, 207, 155, 209)
	L = (1, 112)(2, 117)(3, 122)(4, 115)(5, 130)(6, 133)(7, 109)(8, 136)(9, 119)(10, 144)(11, 110)(12, 149)(13, 125)(14, 124)(15, 155)(16, 111)(17, 153)(18, 114)(19, 146)(20, 116)(21, 147)(22, 131)(23, 113)(24, 161)(25, 126)(26, 127)(27, 150)(28, 128)(29, 138)(30, 139)(31, 137)(32, 118)(33, 160)(34, 129)(35, 154)(36, 140)(37, 141)(38, 134)(39, 142)(40, 152)(41, 151)(42, 157)(43, 120)(44, 159)(45, 121)(46, 158)(47, 156)(48, 123)(49, 135)(50, 143)(51, 148)(52, 145)(53, 162)(54, 132)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.892
Graph:: simple bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.888 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, Y2 * Y3^-1 * Y1 * Y2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1^-1 * Y3^-1 * Y2 * Y3, Y3^-1 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y3 * Y2^4 * Y1^-1, (Y1^-1 * Y3)^3, Y1^-1 * Y2 * Y3 * Y1^-1 * Y3^-1 * Y2^-1, Y1 * Y2^-1 * Y1 * Y3 * Y1^-1 * Y2^-1, (Y3^-1 * Y1^-1)^3, Y3 * Y2^-1 * Y3 * Y1^-1 * Y2 * Y3 * Y1, R * Y3^-1 * Y1 * Y3^-1 * Y2^-1 * R * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 15, 69)(4, 58, 17, 71, 19, 73)(6, 60, 23, 77, 16, 70)(7, 61, 25, 79, 27, 81)(8, 62, 28, 82, 24, 78)(9, 63, 30, 84, 32, 86)(10, 64, 33, 87, 26, 80)(11, 65, 35, 89, 37, 91)(13, 67, 40, 94, 42, 96)(14, 68, 43, 97, 29, 83)(18, 72, 41, 95, 31, 85)(20, 74, 49, 103, 34, 88)(21, 75, 50, 104, 36, 90)(22, 76, 51, 105, 46, 100)(38, 92, 47, 101, 52, 106)(39, 93, 53, 107, 45, 99)(44, 98, 48, 102, 54, 108)(109, 163, 111, 165, 121, 175, 149, 203, 133, 187, 114, 168)(110, 164, 116, 170, 112, 166, 126, 180, 143, 197, 118, 172)(113, 167, 128, 182, 117, 171, 139, 193, 159, 213, 129, 183)(115, 169, 134, 188, 147, 201, 120, 174, 125, 179, 122, 176)(119, 173, 144, 198, 161, 215, 136, 190, 138, 192, 137, 191)(123, 177, 140, 194, 146, 200, 135, 189, 158, 212, 152, 206)(124, 178, 153, 207, 157, 211, 148, 202, 151, 205, 130, 184)(127, 181, 155, 209, 154, 208, 141, 195, 162, 216, 142, 196)(131, 185, 156, 210, 132, 186, 150, 204, 160, 214, 145, 199)
	L = (1, 112)(2, 117)(3, 122)(4, 115)(5, 121)(6, 132)(7, 109)(8, 137)(9, 119)(10, 142)(11, 110)(12, 146)(13, 130)(14, 124)(15, 149)(16, 111)(17, 154)(18, 114)(19, 143)(20, 151)(21, 123)(22, 113)(23, 157)(24, 126)(25, 152)(26, 116)(27, 147)(28, 160)(29, 134)(30, 135)(31, 118)(32, 159)(33, 120)(34, 139)(35, 156)(36, 128)(37, 161)(38, 141)(39, 138)(40, 145)(41, 129)(42, 133)(43, 144)(44, 150)(45, 125)(46, 153)(47, 131)(48, 127)(49, 155)(50, 136)(51, 162)(52, 158)(53, 148)(54, 140)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.891
Graph:: bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.889 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, (Y2^-1 * Y3^-1)^2, Y2^2 * Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y3 * Y1^-1 * Y2 * Y3^-1, Y3 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y1^-1 * Y2^-1 * Y3^-1)^2, (Y3 * Y1^-1)^3, (R * Y2 * Y3^-1)^2, (Y1^-1 * Y2)^6 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 14, 68)(4, 58, 16, 70, 18, 72)(6, 60, 15, 69, 24, 78)(7, 61, 26, 80, 25, 79)(8, 62, 28, 82, 30, 84)(9, 63, 32, 86, 34, 88)(10, 64, 31, 85, 35, 89)(11, 65, 37, 91, 36, 90)(13, 67, 40, 94, 29, 83)(17, 71, 48, 102, 33, 87)(19, 73, 23, 77, 49, 103)(20, 74, 38, 92, 50, 104)(21, 75, 27, 81, 43, 97)(22, 76, 51, 105, 46, 100)(39, 93, 52, 106, 47, 101)(41, 95, 54, 108, 45, 99)(42, 96, 44, 98, 53, 107)(109, 163, 111, 165, 117, 171, 141, 195, 133, 187, 114, 168)(110, 164, 116, 170, 128, 182, 156, 210, 144, 198, 118, 172)(112, 166, 125, 179, 154, 208, 129, 183, 113, 167, 127, 181)(115, 169, 135, 189, 150, 204, 122, 176, 126, 180, 121, 175)(119, 173, 123, 177, 152, 206, 138, 192, 142, 196, 137, 191)(120, 174, 146, 200, 149, 203, 134, 188, 143, 197, 147, 201)(124, 178, 153, 207, 145, 199, 151, 205, 160, 214, 136, 190)(130, 184, 139, 193, 161, 215, 157, 211, 158, 212, 148, 202)(131, 185, 140, 194, 162, 216, 159, 213, 132, 186, 155, 209)
	L = (1, 112)(2, 117)(3, 121)(4, 115)(5, 128)(6, 131)(7, 109)(8, 137)(9, 119)(10, 120)(11, 110)(12, 141)(13, 123)(14, 149)(15, 111)(16, 154)(17, 114)(18, 145)(19, 148)(20, 130)(21, 136)(22, 113)(23, 125)(24, 138)(25, 147)(26, 150)(27, 127)(28, 156)(29, 139)(30, 153)(31, 116)(32, 133)(33, 118)(34, 159)(35, 157)(36, 160)(37, 152)(38, 144)(39, 140)(40, 135)(41, 151)(42, 158)(43, 122)(44, 126)(45, 132)(46, 155)(47, 124)(48, 129)(49, 162)(50, 134)(51, 161)(52, 146)(53, 142)(54, 143)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.886
Graph:: bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.890 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3, Y1^-2 * Y3^-1, (R * Y3)^2, Y2 * Y3 * Y2 * Y1, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^6, (R * Y2^-2 * Y1^-1)^2, Y2 * Y3^-1 * Y1^-1 * Y2^2 * Y1^-2 * Y2 * Y1^-1, (Y1^-1 * Y2^2)^3, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-2 * Y1 * Y2 * Y1^-1, (Y3 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 4, 58)(3, 57, 8, 62, 10, 64)(5, 59, 12, 66, 6, 60)(7, 61, 15, 69, 11, 65)(9, 63, 18, 72, 20, 74)(13, 67, 25, 79, 23, 77)(14, 68, 24, 78, 27, 81)(16, 70, 30, 84, 28, 82)(17, 71, 31, 85, 21, 75)(19, 73, 34, 88, 35, 89)(22, 76, 29, 83, 38, 92)(26, 80, 42, 96, 43, 97)(32, 86, 48, 102, 47, 101)(33, 87, 45, 99, 36, 90)(37, 91, 44, 98, 40, 94)(39, 93, 41, 95, 46, 100)(49, 103, 52, 106, 54, 108)(50, 104, 53, 107, 51, 105)(109, 163, 111, 165, 117, 171, 127, 181, 121, 175, 113, 167)(110, 164, 114, 168, 122, 176, 134, 188, 124, 178, 115, 169)(112, 166, 119, 173, 130, 184, 140, 194, 125, 179, 116, 170)(118, 172, 129, 183, 145, 199, 157, 211, 141, 195, 126, 180)(120, 174, 131, 185, 147, 201, 160, 214, 148, 202, 132, 186)(123, 177, 136, 190, 153, 207, 162, 216, 154, 208, 137, 191)(128, 182, 144, 198, 138, 192, 151, 205, 158, 212, 142, 196)(133, 187, 143, 197, 159, 213, 156, 210, 146, 200, 149, 203)(135, 189, 152, 206, 139, 193, 155, 209, 161, 215, 150, 204)
	L = (1, 110)(2, 112)(3, 116)(4, 109)(5, 120)(6, 113)(7, 123)(8, 118)(9, 126)(10, 111)(11, 115)(12, 114)(13, 133)(14, 132)(15, 119)(16, 138)(17, 139)(18, 128)(19, 142)(20, 117)(21, 125)(22, 137)(23, 121)(24, 135)(25, 131)(26, 150)(27, 122)(28, 124)(29, 146)(30, 136)(31, 129)(32, 156)(33, 153)(34, 143)(35, 127)(36, 141)(37, 152)(38, 130)(39, 149)(40, 145)(41, 154)(42, 151)(43, 134)(44, 148)(45, 144)(46, 147)(47, 140)(48, 155)(49, 160)(50, 161)(51, 158)(52, 162)(53, 159)(54, 157)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.891 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, Y2^-2 * Y3^-1 * Y1, Y2^-1 * Y3^-1 * Y2 * Y1^-1, (Y2^-1 * Y3^-1)^2, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y3^-1 * Y2 * Y1 * Y2, R * Y2 * Y1 * R * Y2^-1, (Y3^-1 * Y1 * Y2)^2, (Y3^-1 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 10, 64)(4, 58, 16, 70, 17, 71)(6, 60, 19, 73, 23, 77)(7, 61, 13, 67, 24, 78)(8, 62, 25, 79, 21, 75)(9, 63, 29, 83, 30, 84)(11, 65, 26, 80, 32, 86)(14, 68, 37, 91, 38, 92)(15, 69, 34, 88, 40, 94)(18, 72, 44, 98, 28, 82)(20, 74, 49, 103, 36, 90)(22, 76, 46, 100, 42, 96)(27, 81, 50, 104, 51, 105)(31, 85, 53, 107, 48, 102)(33, 87, 41, 95, 47, 101)(35, 89, 45, 99, 54, 108)(39, 93, 52, 106, 43, 97)(109, 163, 111, 165, 121, 175, 142, 196, 128, 182, 114, 168)(110, 164, 116, 170, 134, 188, 126, 180, 112, 166, 118, 172)(113, 167, 127, 181, 154, 208, 139, 193, 117, 171, 129, 183)(115, 169, 120, 174, 124, 178, 149, 203, 147, 201, 122, 176)(119, 173, 133, 187, 137, 191, 146, 200, 160, 214, 135, 189)(123, 177, 132, 186, 145, 199, 138, 192, 161, 215, 143, 197)(125, 179, 152, 206, 162, 216, 156, 210, 150, 204, 141, 195)(130, 184, 131, 185, 157, 211, 159, 213, 151, 205, 155, 209)(136, 190, 140, 194, 158, 212, 144, 198, 148, 202, 153, 207)
	L = (1, 112)(2, 117)(3, 122)(4, 115)(5, 128)(6, 129)(7, 109)(8, 135)(9, 119)(10, 114)(11, 110)(12, 126)(13, 143)(14, 123)(15, 111)(16, 150)(17, 134)(18, 141)(19, 155)(20, 130)(21, 118)(22, 113)(23, 142)(24, 147)(25, 139)(26, 153)(27, 136)(28, 116)(29, 132)(30, 154)(31, 145)(32, 160)(33, 120)(34, 158)(35, 144)(36, 121)(37, 133)(38, 149)(39, 137)(40, 161)(41, 159)(42, 151)(43, 124)(44, 148)(45, 125)(46, 162)(47, 156)(48, 127)(49, 140)(50, 131)(51, 146)(52, 157)(53, 152)(54, 138)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.888
Graph:: bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.892 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1, Y2^-2 * Y3^-1 * Y1^-1, Y2^-1 * Y3 * Y2 * Y1^-1, (R * Y1)^2, (R * Y3)^2, R * Y2 * Y1^-1 * R * Y2^-1, Y1^-1 * Y2^4 * Y3^-1, (Y3 * Y1^-1)^3, Y2^-1 * Y3 * Y1 * Y2 * Y3 * Y1^-1 * Y3, Y3 * Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2^-1 * Y3, Y3^-1 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y2^-2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 15, 69)(4, 58, 17, 71, 18, 72)(6, 60, 23, 77, 8, 62)(7, 61, 24, 78, 13, 67)(9, 63, 28, 82, 29, 83)(10, 64, 31, 85, 20, 74)(11, 65, 32, 86, 25, 79)(14, 68, 34, 88, 35, 89)(16, 70, 38, 92, 30, 84)(19, 73, 44, 98, 39, 93)(21, 75, 46, 100, 47, 101)(22, 76, 49, 103, 40, 94)(26, 80, 42, 96, 37, 91)(27, 81, 52, 106, 48, 102)(33, 87, 51, 105, 41, 95)(36, 90, 43, 97, 54, 108)(45, 99, 53, 107, 50, 104)(109, 163, 111, 165, 121, 175, 138, 192, 117, 171, 114, 168)(110, 164, 116, 170, 133, 187, 156, 210, 129, 183, 118, 172)(112, 166, 120, 174, 113, 167, 128, 182, 148, 202, 127, 181)(115, 169, 123, 177, 126, 180, 150, 204, 144, 198, 122, 176)(119, 173, 131, 185, 137, 191, 161, 215, 151, 205, 134, 188)(124, 178, 132, 186, 143, 197, 154, 208, 160, 214, 141, 195)(125, 179, 147, 201, 159, 213, 135, 189, 140, 194, 145, 199)(130, 184, 139, 193, 155, 209, 142, 196, 162, 216, 153, 207)(136, 190, 146, 200, 149, 203, 152, 206, 157, 211, 158, 212)
	L = (1, 112)(2, 117)(3, 122)(4, 115)(5, 129)(6, 118)(7, 109)(8, 134)(9, 119)(10, 120)(11, 110)(12, 114)(13, 141)(14, 124)(15, 127)(16, 111)(17, 148)(18, 140)(19, 145)(20, 153)(21, 130)(22, 113)(23, 138)(24, 144)(25, 159)(26, 135)(27, 116)(28, 121)(29, 157)(30, 158)(31, 156)(32, 151)(33, 136)(34, 150)(35, 139)(36, 155)(37, 123)(38, 160)(39, 146)(40, 149)(41, 125)(42, 161)(43, 126)(44, 128)(45, 152)(46, 133)(47, 132)(48, 143)(49, 162)(50, 131)(51, 154)(52, 147)(53, 142)(54, 137)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.887
Graph:: bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.893 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y3 * Y2^3, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y1^-1 * Y2^-1 * Y1^-1)^2, (Y2 * Y1^-1)^3, Y2^-1 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1, Y1^-1 * Y3 * Y2 * Y1^-1 * Y2^-2, Y1^6, Y1^-1 * Y3 * Y1 * Y2^-1 * Y1 * Y3, Y1^-1 * Y2 * Y1^-2 * Y3 * Y1^-1, (Y2^-1 * Y1^-1)^3, Y1^-2 * Y2^2 * Y1^-1 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 7, 61, 23, 77, 19, 73, 5, 59)(3, 57, 11, 65, 35, 89, 51, 105, 25, 79, 14, 68)(4, 58, 15, 69, 41, 95, 52, 106, 26, 80, 16, 70)(6, 60, 21, 75, 44, 98, 50, 104, 24, 78, 22, 76)(8, 62, 27, 81, 20, 74, 40, 94, 46, 100, 30, 84)(9, 63, 31, 85, 17, 71, 36, 90, 47, 101, 32, 86)(10, 64, 33, 87, 18, 72, 42, 96, 45, 99, 34, 88)(12, 66, 37, 91, 48, 102, 29, 83, 54, 108, 38, 92)(13, 67, 39, 93, 49, 103, 43, 97, 53, 107, 28, 82)(109, 163, 111, 165, 120, 174, 112, 166, 121, 175, 114, 168)(110, 164, 116, 170, 136, 190, 117, 171, 137, 191, 118, 172)(113, 167, 125, 179, 151, 205, 126, 180, 145, 199, 128, 182)(115, 169, 132, 186, 156, 210, 133, 187, 157, 211, 134, 188)(119, 173, 135, 189, 130, 184, 142, 196, 160, 214, 144, 198)(122, 176, 141, 195, 158, 212, 140, 194, 123, 177, 148, 202)(124, 178, 150, 204, 159, 213, 139, 193, 129, 183, 138, 192)(127, 181, 149, 203, 162, 216, 152, 206, 161, 215, 143, 197)(131, 185, 153, 207, 147, 201, 154, 208, 146, 200, 155, 209)
	L = (1, 112)(2, 117)(3, 121)(4, 109)(5, 126)(6, 120)(7, 133)(8, 137)(9, 110)(10, 136)(11, 142)(12, 114)(13, 111)(14, 140)(15, 141)(16, 139)(17, 145)(18, 113)(19, 152)(20, 151)(21, 150)(22, 144)(23, 154)(24, 157)(25, 115)(26, 156)(27, 160)(28, 118)(29, 116)(30, 159)(31, 124)(32, 122)(33, 123)(34, 119)(35, 162)(36, 130)(37, 125)(38, 153)(39, 155)(40, 158)(41, 161)(42, 129)(43, 128)(44, 127)(45, 146)(46, 131)(47, 147)(48, 134)(49, 132)(50, 148)(51, 138)(52, 135)(53, 149)(54, 143)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E28.867
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 12^18 ]

E28.894 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y3 * Y2^3, (Y2 * R)^2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1^-2 * Y3 * Y1^-2, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1^-1, Y3 * Y1^-1 * Y2^2 * Y1^-1 * Y2^-1, (Y2^-1 * Y1^-1)^3, Y2 * Y1 * Y2 * Y1^-1 * Y3 * Y1^-1, (Y2 * Y1^-2)^2, Y1^6, Y1^-2 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 7, 61, 23, 77, 19, 73, 5, 59)(3, 57, 11, 65, 35, 89, 52, 106, 26, 80, 14, 68)(4, 58, 15, 69, 41, 95, 50, 104, 24, 78, 16, 70)(6, 60, 21, 75, 44, 98, 51, 105, 25, 79, 22, 76)(8, 62, 27, 81, 18, 72, 36, 90, 47, 101, 30, 84)(9, 63, 31, 85, 20, 74, 40, 94, 45, 99, 32, 86)(10, 64, 33, 87, 17, 71, 42, 96, 46, 100, 34, 88)(12, 66, 37, 91, 48, 102, 43, 97, 54, 108, 29, 83)(13, 67, 38, 92, 49, 103, 28, 82, 53, 107, 39, 93)(109, 163, 111, 165, 120, 174, 112, 166, 121, 175, 114, 168)(110, 164, 116, 170, 136, 190, 117, 171, 137, 191, 118, 172)(113, 167, 125, 179, 146, 200, 126, 180, 151, 205, 128, 182)(115, 169, 132, 186, 156, 210, 133, 187, 157, 211, 134, 188)(119, 173, 139, 193, 159, 213, 144, 198, 124, 178, 142, 196)(122, 176, 141, 195, 129, 183, 148, 202, 158, 212, 138, 192)(123, 177, 140, 194, 160, 214, 135, 189, 130, 184, 150, 204)(127, 181, 152, 206, 162, 216, 143, 197, 161, 215, 149, 203)(131, 185, 153, 207, 147, 201, 154, 208, 145, 199, 155, 209)
	L = (1, 112)(2, 117)(3, 121)(4, 109)(5, 126)(6, 120)(7, 133)(8, 137)(9, 110)(10, 136)(11, 144)(12, 114)(13, 111)(14, 148)(15, 135)(16, 139)(17, 151)(18, 113)(19, 143)(20, 146)(21, 138)(22, 140)(23, 154)(24, 157)(25, 115)(26, 156)(27, 123)(28, 118)(29, 116)(30, 129)(31, 124)(32, 130)(33, 158)(34, 159)(35, 127)(36, 119)(37, 153)(38, 128)(39, 155)(40, 122)(41, 162)(42, 160)(43, 125)(44, 161)(45, 145)(46, 131)(47, 147)(48, 134)(49, 132)(50, 141)(51, 142)(52, 150)(53, 152)(54, 149)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E28.868
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 12^18 ]

E28.895 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y3 * Y1^-2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y1^6, (R * Y2 * Y3)^2, Y2^-2 * Y3 * Y2^2 * Y3, Y2^6, (Y2 * Y3)^3, Y3 * Y1 * Y2^-2 * Y1^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 7, 61, 23, 77, 17, 71, 5, 59)(3, 57, 11, 65, 35, 89, 50, 104, 25, 79, 13, 67)(4, 58, 14, 68, 38, 92, 21, 75, 6, 60, 16, 70)(8, 62, 26, 80, 51, 105, 39, 93, 45, 99, 28, 82)(9, 63, 29, 83, 53, 107, 33, 87, 10, 64, 31, 85)(12, 66, 32, 86, 47, 101, 41, 95, 15, 69, 34, 88)(18, 72, 43, 97, 52, 106, 36, 90, 19, 73, 40, 94)(20, 74, 27, 81, 49, 103, 44, 98, 22, 76, 30, 84)(24, 78, 46, 100, 37, 91, 54, 108, 42, 96, 48, 102)(109, 163, 111, 165, 120, 174, 145, 199, 130, 184, 114, 168)(110, 164, 116, 170, 135, 189, 160, 214, 142, 196, 118, 172)(112, 166, 123, 177, 143, 197, 157, 211, 150, 204, 125, 179)(113, 167, 117, 171, 138, 192, 159, 213, 149, 203, 127, 181)(115, 169, 132, 186, 155, 209, 146, 200, 128, 182, 133, 187)(119, 173, 144, 198, 122, 176, 147, 201, 154, 208, 141, 195)(121, 175, 139, 193, 124, 178, 148, 202, 156, 210, 136, 190)(126, 180, 152, 206, 161, 215, 140, 194, 153, 207, 131, 185)(129, 183, 137, 191, 162, 216, 151, 205, 158, 212, 134, 188)
	L = (1, 112)(2, 117)(3, 115)(4, 109)(5, 126)(6, 128)(7, 111)(8, 131)(9, 110)(10, 140)(11, 139)(12, 143)(13, 134)(14, 148)(15, 146)(16, 137)(17, 132)(18, 113)(19, 142)(20, 114)(21, 147)(22, 150)(23, 116)(24, 125)(25, 157)(26, 121)(27, 159)(28, 154)(29, 124)(30, 161)(31, 119)(32, 118)(33, 162)(34, 127)(35, 120)(36, 158)(37, 155)(38, 123)(39, 129)(40, 122)(41, 153)(42, 130)(43, 156)(44, 160)(45, 149)(46, 136)(47, 145)(48, 151)(49, 133)(50, 144)(51, 135)(52, 152)(53, 138)(54, 141)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E28.869
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 12^18 ]

E28.896 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1^-2 * Y3, (R * Y1)^2, (R * Y3)^2, Y2^2 * Y3 * Y2^-1 * Y1^-2, Y3 * Y1 * Y2^-1 * Y1^-1 * Y3 * Y1^-1, Y2^2 * Y1 * Y2 * Y3 * Y1^-1, (R * Y2 * Y3)^2, Y3 * Y1^-4 * Y2^-1, (Y3 * Y2)^3, Y2^6, Y2^3 * Y1^2 * Y3 * Y2^-1 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 7, 61, 23, 77, 18, 72, 5, 59)(3, 57, 11, 65, 35, 89, 15, 69, 4, 58, 14, 68)(6, 60, 20, 74, 40, 94, 52, 106, 41, 95, 21, 75)(8, 62, 26, 80, 51, 105, 30, 84, 9, 63, 29, 83)(10, 64, 32, 86, 17, 71, 42, 96, 54, 108, 33, 87)(12, 66, 31, 85, 47, 101, 39, 93, 13, 67, 34, 88)(16, 70, 27, 81, 50, 104, 43, 97, 22, 76, 28, 82)(19, 73, 44, 98, 45, 99, 37, 91, 53, 107, 36, 90)(24, 78, 46, 100, 38, 92, 49, 103, 25, 79, 48, 102)(109, 163, 111, 165, 120, 174, 146, 200, 130, 184, 114, 168)(110, 164, 116, 170, 135, 189, 161, 215, 142, 196, 118, 172)(112, 166, 115, 169, 132, 186, 155, 209, 149, 203, 124, 178)(113, 167, 125, 179, 136, 190, 159, 213, 147, 201, 127, 181)(117, 171, 131, 185, 153, 207, 151, 205, 162, 216, 139, 193)(119, 173, 144, 198, 160, 214, 138, 192, 154, 208, 141, 195)(121, 175, 143, 197, 158, 212, 133, 187, 126, 180, 148, 202)(122, 176, 140, 194, 128, 182, 152, 206, 156, 210, 137, 191)(123, 177, 134, 188, 129, 183, 150, 204, 157, 211, 145, 199)
	L = (1, 112)(2, 117)(3, 121)(4, 109)(5, 118)(6, 126)(7, 133)(8, 136)(9, 110)(10, 113)(11, 145)(12, 132)(13, 111)(14, 141)(15, 137)(16, 143)(17, 151)(18, 114)(19, 131)(20, 144)(21, 140)(22, 149)(23, 127)(24, 120)(25, 115)(26, 160)(27, 153)(28, 116)(29, 123)(30, 156)(31, 159)(32, 129)(33, 122)(34, 162)(35, 124)(36, 128)(37, 119)(38, 158)(39, 161)(40, 155)(41, 130)(42, 154)(43, 125)(44, 157)(45, 135)(46, 150)(47, 148)(48, 138)(49, 152)(50, 146)(51, 139)(52, 134)(53, 147)(54, 142)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E28.870
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 12^18 ]

E28.897 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^-1, Y3^-1 * Y2^-1, R * Y2 * R * Y3^-1, (R * Y1)^2, Y1^6, Y2^2 * Y1 * Y3^-2 * Y1, Y2 * Y1^-1 * Y2 * Y1^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y1^-1 * Y3 * Y1^-2 * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^3, Y2^6, Y1^6, Y3 * Y1^-1 * Y3 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y1^-1 * Y3 * Y1^3 * Y2^-1 * Y1^-1, Y1 * Y3 * Y1^-1 * Y2 * Y3^-2 * Y1^-1 * Y2^-1, Y2^-1 * Y1 * Y2^-2 * Y1^-3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 6, 60, 18, 72, 17, 71, 5, 59)(3, 57, 9, 63, 27, 81, 51, 105, 33, 87, 11, 65)(4, 58, 12, 66, 34, 88, 42, 96, 19, 73, 14, 68)(7, 61, 21, 75, 16, 70, 32, 86, 48, 102, 23, 77)(8, 62, 24, 78, 49, 103, 53, 107, 39, 93, 26, 80)(10, 64, 29, 83, 41, 95, 25, 79, 50, 104, 31, 85)(13, 67, 36, 90, 44, 98, 37, 91, 47, 101, 22, 76)(15, 69, 28, 82, 40, 94, 54, 108, 46, 100, 35, 89)(20, 74, 43, 97, 30, 84, 52, 106, 38, 92, 45, 99)(109, 163, 111, 165, 118, 172, 138, 192, 121, 175, 112, 166)(110, 164, 115, 169, 130, 184, 154, 208, 133, 187, 116, 170)(113, 167, 123, 177, 145, 199, 157, 211, 137, 191, 124, 178)(114, 168, 127, 181, 149, 203, 141, 195, 152, 206, 128, 182)(117, 171, 129, 183, 122, 176, 134, 188, 153, 207, 136, 190)(119, 173, 132, 186, 150, 204, 162, 216, 160, 214, 140, 194)(120, 174, 131, 185, 151, 205, 161, 215, 159, 213, 143, 197)(125, 179, 146, 200, 158, 212, 142, 196, 155, 209, 135, 189)(126, 180, 147, 201, 144, 198, 156, 210, 139, 193, 148, 202)
	L = (1, 112)(2, 116)(3, 109)(4, 121)(5, 124)(6, 128)(7, 110)(8, 133)(9, 136)(10, 111)(11, 140)(12, 143)(13, 138)(14, 129)(15, 113)(16, 137)(17, 135)(18, 148)(19, 114)(20, 152)(21, 117)(22, 115)(23, 120)(24, 119)(25, 154)(26, 122)(27, 155)(28, 153)(29, 157)(30, 118)(31, 156)(32, 160)(33, 149)(34, 158)(35, 159)(36, 147)(37, 123)(38, 125)(39, 126)(40, 139)(41, 127)(42, 132)(43, 131)(44, 141)(45, 134)(46, 130)(47, 142)(48, 144)(49, 145)(50, 146)(51, 161)(52, 162)(53, 151)(54, 150)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E28.872
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 12^18 ]

E28.898 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, (R * Y1)^2, Y3^-1 * Y1^2 * Y2^-1, (R * Y3)^2, Y3^-1 * Y2^2 * Y3^-1, Y3^-1 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3 * Y1 * Y2^-1 * Y3 * Y1^-1 * Y2^-1, Y2 * Y1 * Y3^-1 * Y1 * Y2^-1 * Y1^-1, (Y1^-1 * Y3)^3, (R * Y2 * Y3^-1)^2, Y3^2 * Y1^-1 * Y2 * Y3^-1 * Y1^-1, (Y3 * Y2)^3, Y1^2 * Y3 * Y1^-2 * Y2^-1, Y2^-1 * Y1^2 * Y3^-1 * Y2^-1 * Y3, Y3^-1 * Y2^-1 * Y3^-2 * Y1^-2, Y3^6, Y3^-3 * Y2^-1 * Y1^-2, Y3 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, (Y3^-1 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 8, 62, 30, 84, 22, 76, 5, 59)(3, 57, 13, 67, 32, 86, 28, 82, 7, 61, 16, 70)(4, 58, 18, 72, 48, 102, 54, 108, 49, 103, 19, 73)(6, 60, 25, 79, 33, 87, 53, 107, 31, 85, 26, 80)(9, 63, 34, 88, 23, 77, 45, 99, 12, 66, 37, 91)(10, 64, 39, 93, 24, 78, 50, 104, 21, 75, 40, 94)(11, 65, 42, 96, 52, 106, 47, 101, 51, 105, 43, 97)(14, 68, 36, 90, 29, 83, 44, 98, 17, 71, 41, 95)(15, 69, 35, 89, 27, 81, 46, 100, 20, 74, 38, 92)(109, 163, 111, 165, 122, 176, 156, 210, 135, 189, 114, 168)(110, 164, 117, 171, 143, 197, 132, 186, 152, 206, 119, 173)(112, 166, 116, 170, 139, 193, 137, 191, 115, 169, 128, 182)(113, 167, 129, 183, 146, 200, 160, 214, 144, 198, 131, 185)(118, 172, 138, 192, 159, 213, 154, 208, 120, 174, 149, 203)(121, 175, 142, 196, 134, 188, 151, 205, 127, 181, 148, 202)(123, 177, 140, 194, 130, 184, 157, 211, 125, 179, 141, 195)(124, 178, 150, 204, 161, 215, 147, 201, 162, 216, 153, 207)(126, 180, 155, 209, 136, 190, 158, 212, 133, 187, 145, 199)
	L = (1, 112)(2, 118)(3, 123)(4, 122)(5, 119)(6, 125)(7, 109)(8, 140)(9, 144)(10, 143)(11, 146)(12, 110)(13, 155)(14, 139)(15, 156)(16, 148)(17, 111)(18, 147)(19, 145)(20, 141)(21, 149)(22, 114)(23, 154)(24, 113)(25, 150)(26, 158)(27, 115)(28, 153)(29, 157)(30, 131)(31, 135)(32, 137)(33, 116)(34, 162)(35, 159)(36, 132)(37, 121)(38, 117)(39, 136)(40, 161)(41, 160)(42, 126)(43, 124)(44, 120)(45, 133)(46, 129)(47, 134)(48, 130)(49, 128)(50, 127)(51, 152)(52, 138)(53, 142)(54, 151)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E28.866
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 12^18 ]

E28.899 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 8>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^2 * Y2^-2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3)^2, Y2^2 * Y1^4, Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1, Y2^-1 * Y3 * Y1^2 * Y3 * Y2^-1, (Y3 * Y1^-1 * Y2^-1)^2, Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1, (Y3 * Y1^-1)^3, (Y3 * Y2^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 7, 61, 23, 77, 19, 73, 5, 59)(3, 57, 11, 65, 24, 78, 22, 76, 6, 60, 13, 67)(4, 58, 14, 68, 25, 79, 47, 101, 44, 98, 16, 70)(8, 62, 26, 80, 20, 74, 34, 88, 10, 64, 28, 82)(9, 63, 29, 83, 45, 99, 40, 94, 18, 72, 31, 85)(12, 66, 32, 86, 46, 100, 30, 84, 21, 75, 37, 91)(15, 69, 42, 96, 48, 102, 33, 87, 17, 71, 27, 81)(35, 89, 51, 105, 41, 95, 50, 104, 39, 93, 54, 108)(36, 90, 53, 107, 43, 97, 52, 106, 38, 92, 49, 103)(109, 163, 111, 165, 115, 169, 132, 186, 127, 181, 114, 168)(110, 164, 116, 170, 131, 185, 128, 182, 113, 167, 118, 172)(112, 166, 123, 177, 133, 187, 156, 210, 152, 206, 125, 179)(117, 171, 138, 192, 153, 207, 145, 199, 126, 180, 140, 194)(119, 173, 134, 188, 130, 184, 142, 196, 121, 175, 136, 190)(120, 174, 144, 198, 154, 208, 151, 205, 129, 183, 146, 200)(122, 176, 147, 201, 155, 209, 143, 197, 124, 178, 149, 203)(135, 189, 158, 212, 150, 204, 162, 216, 141, 195, 159, 213)(137, 191, 160, 214, 148, 202, 157, 211, 139, 193, 161, 215)
	L = (1, 112)(2, 117)(3, 120)(4, 109)(5, 126)(6, 129)(7, 133)(8, 135)(9, 110)(10, 141)(11, 143)(12, 111)(13, 147)(14, 148)(15, 151)(16, 137)(17, 144)(18, 113)(19, 152)(20, 150)(21, 114)(22, 149)(23, 153)(24, 154)(25, 115)(26, 157)(27, 116)(28, 160)(29, 124)(30, 162)(31, 155)(32, 158)(33, 118)(34, 161)(35, 119)(36, 125)(37, 159)(38, 156)(39, 121)(40, 122)(41, 130)(42, 128)(43, 123)(44, 127)(45, 131)(46, 132)(47, 139)(48, 146)(49, 134)(50, 140)(51, 145)(52, 136)(53, 142)(54, 138)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E28.871
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 12^18 ]

E28.900 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 6, 6})
Quotient :: edge^2
Aut^+ = C2 x ((C3 x C3) : C3) (small group id <54, 10>)
Aut   = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 28>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1, Y1^3, Y2^3, R * Y2 * R * Y1, (R * Y3)^2, Y3^6, Y3^-1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3^-1, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1 * Y1, Y3^-2 * Y1 * Y3 * Y1 * Y3 * Y1, Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3 * Y1^-1, (Y1^-1 * Y3^-1 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 55, 3, 57, 9, 63, 25, 79, 15, 69, 5, 59)(2, 56, 6, 60, 17, 71, 41, 95, 21, 75, 7, 61)(4, 58, 11, 65, 30, 84, 50, 104, 34, 88, 12, 66)(8, 62, 22, 76, 48, 102, 39, 93, 33, 87, 23, 77)(10, 64, 27, 81, 52, 106, 40, 94, 19, 73, 28, 82)(13, 67, 35, 89, 31, 85, 24, 78, 49, 103, 36, 90)(14, 68, 37, 91, 16, 70, 26, 80, 51, 105, 38, 92)(18, 72, 43, 97, 54, 108, 47, 101, 32, 86, 44, 98)(20, 74, 45, 99, 29, 83, 42, 96, 53, 107, 46, 100)(109, 110, 112)(111, 116, 118)(113, 121, 122)(114, 124, 126)(115, 127, 128)(117, 132, 134)(119, 137, 139)(120, 140, 141)(123, 147, 148)(125, 135, 150)(129, 146, 155)(130, 138, 151)(131, 145, 153)(133, 149, 158)(136, 152, 143)(142, 154, 144)(156, 159, 161)(157, 160, 162)(163, 164, 166)(165, 170, 172)(167, 175, 176)(168, 178, 180)(169, 181, 182)(171, 186, 188)(173, 191, 193)(174, 194, 195)(177, 201, 202)(179, 189, 204)(183, 200, 209)(184, 192, 205)(185, 199, 207)(187, 203, 212)(190, 206, 197)(196, 208, 198)(210, 213, 215)(211, 214, 216)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 24^3 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E28.902
Graph:: simple bipartite
	v = 45 e = 108 f = 9
	degree seq :: [ 3^36, 12^9 ]

E28.901 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 6, 6})
Quotient :: edge^2
Aut^+ = C2 x ((C3 x C3) : C3) (small group id <54, 10>)
Aut   = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 28>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1, Y3^3, (R * Y3)^2, R * Y2 * R * Y1, Y2^6, Y1^6, Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^2 * Y3, Y1^2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1, Y3 * Y1 * Y3^-1 * Y2 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y1^-1 * Y3^-1 * Y2 * Y3 * Y1 * Y3^-1 * Y1^-1, (Y1^-1 * Y3^-1 * Y2^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 55, 3, 57, 5, 59)(2, 56, 7, 61, 8, 62)(4, 58, 11, 65, 13, 67)(6, 60, 17, 71, 18, 72)(9, 63, 24, 78, 25, 79)(10, 64, 26, 80, 28, 82)(12, 66, 31, 85, 32, 86)(14, 68, 36, 90, 37, 91)(15, 69, 38, 92, 40, 94)(16, 70, 41, 95, 42, 96)(19, 73, 35, 89, 46, 100)(20, 74, 33, 87, 47, 101)(21, 75, 49, 103, 23, 77)(22, 76, 50, 104, 29, 83)(27, 81, 34, 88, 51, 105)(30, 84, 39, 93, 52, 106)(43, 97, 48, 102, 53, 107)(44, 98, 54, 108, 45, 99)(109, 110, 114, 124, 120, 112)(111, 117, 131, 149, 135, 118)(113, 122, 143, 150, 147, 123)(115, 127, 153, 139, 148, 128)(116, 129, 156, 140, 134, 130)(119, 137, 145, 125, 151, 138)(121, 141, 132, 126, 152, 142)(133, 154, 161, 159, 146, 158)(136, 155, 144, 157, 162, 160)(163, 164, 168, 178, 174, 166)(165, 171, 185, 203, 189, 172)(167, 176, 197, 204, 201, 177)(169, 181, 207, 193, 202, 182)(170, 183, 210, 194, 188, 184)(173, 191, 199, 179, 205, 192)(175, 195, 186, 180, 206, 196)(187, 208, 215, 213, 200, 212)(190, 209, 198, 211, 216, 214)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.903
Graph:: simple bipartite
	v = 36 e = 108 f = 18
	degree seq :: [ 6^36 ]

E28.902 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 6, 6})
Quotient :: loop^2
Aut^+ = C2 x ((C3 x C3) : C3) (small group id <54, 10>)
Aut   = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 28>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1, Y1^3, Y2^3, R * Y2 * R * Y1, (R * Y3)^2, Y3^6, Y3^-1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3^-1, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1 * Y1, Y3^-2 * Y1 * Y3 * Y1 * Y3 * Y1, Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3 * Y1^-1, (Y1^-1 * Y3^-1 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 55, 109, 163, 3, 57, 111, 165, 9, 63, 117, 171, 25, 79, 133, 187, 15, 69, 123, 177, 5, 59, 113, 167)(2, 56, 110, 164, 6, 60, 114, 168, 17, 71, 125, 179, 41, 95, 149, 203, 21, 75, 129, 183, 7, 61, 115, 169)(4, 58, 112, 166, 11, 65, 119, 173, 30, 84, 138, 192, 50, 104, 158, 212, 34, 88, 142, 196, 12, 66, 120, 174)(8, 62, 116, 170, 22, 76, 130, 184, 48, 102, 156, 210, 39, 93, 147, 201, 33, 87, 141, 195, 23, 77, 131, 185)(10, 64, 118, 172, 27, 81, 135, 189, 52, 106, 160, 214, 40, 94, 148, 202, 19, 73, 127, 181, 28, 82, 136, 190)(13, 67, 121, 175, 35, 89, 143, 197, 31, 85, 139, 193, 24, 78, 132, 186, 49, 103, 157, 211, 36, 90, 144, 198)(14, 68, 122, 176, 37, 91, 145, 199, 16, 70, 124, 178, 26, 80, 134, 188, 51, 105, 159, 213, 38, 92, 146, 200)(18, 72, 126, 180, 43, 97, 151, 205, 54, 108, 162, 216, 47, 101, 155, 209, 32, 86, 140, 194, 44, 98, 152, 206)(20, 74, 128, 182, 45, 99, 153, 207, 29, 83, 137, 191, 42, 96, 150, 204, 53, 107, 161, 215, 46, 100, 154, 208)
	L = (1, 56)(2, 58)(3, 62)(4, 55)(5, 67)(6, 70)(7, 73)(8, 64)(9, 78)(10, 57)(11, 83)(12, 86)(13, 68)(14, 59)(15, 93)(16, 72)(17, 81)(18, 60)(19, 74)(20, 61)(21, 92)(22, 84)(23, 91)(24, 80)(25, 95)(26, 63)(27, 96)(28, 98)(29, 85)(30, 97)(31, 65)(32, 87)(33, 66)(34, 100)(35, 82)(36, 88)(37, 99)(38, 101)(39, 94)(40, 69)(41, 104)(42, 71)(43, 76)(44, 89)(45, 77)(46, 90)(47, 75)(48, 105)(49, 106)(50, 79)(51, 107)(52, 108)(53, 102)(54, 103)(109, 164)(110, 166)(111, 170)(112, 163)(113, 175)(114, 178)(115, 181)(116, 172)(117, 186)(118, 165)(119, 191)(120, 194)(121, 176)(122, 167)(123, 201)(124, 180)(125, 189)(126, 168)(127, 182)(128, 169)(129, 200)(130, 192)(131, 199)(132, 188)(133, 203)(134, 171)(135, 204)(136, 206)(137, 193)(138, 205)(139, 173)(140, 195)(141, 174)(142, 208)(143, 190)(144, 196)(145, 207)(146, 209)(147, 202)(148, 177)(149, 212)(150, 179)(151, 184)(152, 197)(153, 185)(154, 198)(155, 183)(156, 213)(157, 214)(158, 187)(159, 215)(160, 216)(161, 210)(162, 211)
	local type(s) :: { ( 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.900
Transitivity :: VT+
Graph::
	v = 9 e = 108 f = 45
	degree seq :: [ 24^9 ]

E28.903 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 6, 6})
Quotient :: loop^2
Aut^+ = C2 x ((C3 x C3) : C3) (small group id <54, 10>)
Aut   = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 28>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1, Y3^3, (R * Y3)^2, R * Y2 * R * Y1, Y2^6, Y1^6, Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^2 * Y3, Y1^2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1, Y3 * Y1 * Y3^-1 * Y2 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y1^-1 * Y3^-1 * Y2 * Y3 * Y1 * Y3^-1 * Y1^-1, (Y1^-1 * Y3^-1 * Y2^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 55, 109, 163, 3, 57, 111, 165, 5, 59, 113, 167)(2, 56, 110, 164, 7, 61, 115, 169, 8, 62, 116, 170)(4, 58, 112, 166, 11, 65, 119, 173, 13, 67, 121, 175)(6, 60, 114, 168, 17, 71, 125, 179, 18, 72, 126, 180)(9, 63, 117, 171, 24, 78, 132, 186, 25, 79, 133, 187)(10, 64, 118, 172, 26, 80, 134, 188, 28, 82, 136, 190)(12, 66, 120, 174, 31, 85, 139, 193, 32, 86, 140, 194)(14, 68, 122, 176, 36, 90, 144, 198, 37, 91, 145, 199)(15, 69, 123, 177, 38, 92, 146, 200, 40, 94, 148, 202)(16, 70, 124, 178, 41, 95, 149, 203, 42, 96, 150, 204)(19, 73, 127, 181, 35, 89, 143, 197, 46, 100, 154, 208)(20, 74, 128, 182, 33, 87, 141, 195, 47, 101, 155, 209)(21, 75, 129, 183, 49, 103, 157, 211, 23, 77, 131, 185)(22, 76, 130, 184, 50, 104, 158, 212, 29, 83, 137, 191)(27, 81, 135, 189, 34, 88, 142, 196, 51, 105, 159, 213)(30, 84, 138, 192, 39, 93, 147, 201, 52, 106, 160, 214)(43, 97, 151, 205, 48, 102, 156, 210, 53, 107, 161, 215)(44, 98, 152, 206, 54, 108, 162, 216, 45, 99, 153, 207)
	L = (1, 56)(2, 60)(3, 63)(4, 55)(5, 68)(6, 70)(7, 73)(8, 75)(9, 77)(10, 57)(11, 83)(12, 58)(13, 87)(14, 89)(15, 59)(16, 66)(17, 97)(18, 98)(19, 99)(20, 61)(21, 102)(22, 62)(23, 95)(24, 72)(25, 100)(26, 76)(27, 64)(28, 101)(29, 91)(30, 65)(31, 94)(32, 80)(33, 78)(34, 67)(35, 96)(36, 103)(37, 71)(38, 104)(39, 69)(40, 74)(41, 81)(42, 93)(43, 84)(44, 88)(45, 85)(46, 107)(47, 90)(48, 86)(49, 108)(50, 79)(51, 92)(52, 82)(53, 105)(54, 106)(109, 164)(110, 168)(111, 171)(112, 163)(113, 176)(114, 178)(115, 181)(116, 183)(117, 185)(118, 165)(119, 191)(120, 166)(121, 195)(122, 197)(123, 167)(124, 174)(125, 205)(126, 206)(127, 207)(128, 169)(129, 210)(130, 170)(131, 203)(132, 180)(133, 208)(134, 184)(135, 172)(136, 209)(137, 199)(138, 173)(139, 202)(140, 188)(141, 186)(142, 175)(143, 204)(144, 211)(145, 179)(146, 212)(147, 177)(148, 182)(149, 189)(150, 201)(151, 192)(152, 196)(153, 193)(154, 215)(155, 198)(156, 194)(157, 216)(158, 187)(159, 200)(160, 190)(161, 213)(162, 214)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E28.901
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 12^18 ]

E28.904 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x ((C3 x C3) : C3) (small group id <54, 10>)
Aut   = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 28>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y2^-1 * Y3^2, Y1^3, (Y2^-1 * Y3^-1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y2 * Y3 * Y1 * Y3 * Y2 * Y1^-1, Y2^-1 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y2^-1 * Y3^-1 * Y1 * Y3^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 14, 68)(4, 58, 15, 69, 16, 70)(6, 60, 21, 75, 22, 76)(7, 61, 23, 77, 24, 78)(8, 62, 25, 79, 27, 81)(9, 63, 28, 82, 29, 83)(10, 64, 30, 84, 31, 85)(11, 65, 32, 86, 33, 87)(13, 67, 26, 80, 38, 92)(17, 71, 47, 101, 42, 96)(18, 72, 48, 102, 37, 91)(19, 73, 49, 103, 34, 88)(20, 74, 50, 104, 43, 97)(35, 89, 45, 99, 53, 107)(36, 90, 46, 100, 54, 108)(39, 93, 51, 105, 41, 95)(40, 94, 52, 106, 44, 98)(109, 163, 111, 165, 114, 168)(110, 164, 116, 170, 118, 172)(112, 166, 121, 175, 115, 169)(113, 167, 125, 179, 127, 181)(117, 171, 134, 188, 119, 173)(120, 174, 142, 196, 144, 198)(122, 176, 138, 192, 148, 202)(123, 177, 149, 203, 151, 205)(124, 178, 153, 207, 140, 194)(126, 180, 146, 200, 128, 182)(129, 183, 152, 206, 150, 204)(130, 184, 154, 208, 133, 187)(131, 185, 145, 199, 143, 197)(132, 186, 136, 190, 147, 201)(135, 189, 157, 211, 160, 214)(137, 191, 161, 215, 158, 212)(139, 193, 162, 216, 155, 209)(141, 195, 156, 210, 159, 213)
	L = (1, 112)(2, 117)(3, 121)(4, 111)(5, 126)(6, 115)(7, 109)(8, 134)(9, 116)(10, 119)(11, 110)(12, 143)(13, 114)(14, 147)(15, 150)(16, 133)(17, 146)(18, 125)(19, 128)(20, 113)(21, 151)(22, 140)(23, 144)(24, 148)(25, 153)(26, 118)(27, 159)(28, 122)(29, 155)(30, 132)(31, 158)(32, 154)(33, 160)(34, 131)(35, 142)(36, 145)(37, 120)(38, 127)(39, 138)(40, 136)(41, 129)(42, 149)(43, 152)(44, 123)(45, 130)(46, 124)(47, 161)(48, 135)(49, 141)(50, 162)(51, 157)(52, 156)(53, 139)(54, 137)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.914
Graph:: simple bipartite
	v = 36 e = 108 f = 18
	degree seq :: [ 6^36 ]

E28.905 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x ((C3 x C3) : C3) (small group id <54, 10>)
Aut   = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 28>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^6, (Y3^-1 * Y1^-1)^3, Y2^-2 * Y1 * Y2 * Y1 * Y2 * Y1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1, Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 55, 2, 56, 4, 58)(3, 57, 8, 62, 10, 64)(5, 59, 13, 67, 14, 68)(6, 60, 16, 70, 18, 72)(7, 61, 19, 73, 20, 74)(9, 63, 24, 78, 26, 80)(11, 65, 29, 83, 31, 85)(12, 66, 32, 86, 33, 87)(15, 69, 39, 93, 40, 94)(17, 71, 27, 81, 42, 96)(21, 75, 38, 92, 47, 101)(22, 76, 30, 84, 43, 97)(23, 77, 37, 91, 45, 99)(25, 79, 41, 95, 50, 104)(28, 82, 44, 98, 35, 89)(34, 88, 46, 100, 36, 90)(48, 102, 51, 105, 53, 107)(49, 103, 52, 106, 54, 108)(109, 163, 111, 165, 117, 171, 133, 187, 123, 177, 113, 167)(110, 164, 114, 168, 125, 179, 149, 203, 129, 183, 115, 169)(112, 166, 119, 173, 138, 192, 158, 212, 142, 196, 120, 174)(116, 170, 130, 184, 156, 210, 147, 201, 141, 195, 131, 185)(118, 172, 135, 189, 160, 214, 148, 202, 127, 181, 136, 190)(121, 175, 143, 197, 139, 193, 132, 186, 157, 211, 144, 198)(122, 176, 145, 199, 124, 178, 134, 188, 159, 213, 146, 200)(126, 180, 151, 205, 162, 216, 155, 209, 140, 194, 152, 206)(128, 182, 153, 207, 137, 191, 150, 204, 161, 215, 154, 208)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.906 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x ((C3 x C3) : C3) (small group id <54, 10>)
Aut   = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 28>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1 * Y2, Y3^3, Y1^3, (Y2^-1 * Y3^-1)^2, (Y2 * R)^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y2, (Y3 * Y1^-1)^3, Y3^-1 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1 * Y3^-1, Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 14, 68)(4, 58, 15, 69, 16, 70)(6, 60, 21, 75, 22, 76)(7, 61, 23, 77, 24, 78)(8, 62, 25, 79, 27, 81)(9, 63, 28, 82, 29, 83)(10, 64, 30, 84, 31, 85)(11, 65, 32, 86, 33, 87)(13, 67, 26, 80, 38, 92)(17, 71, 47, 101, 43, 97)(18, 72, 48, 102, 34, 88)(19, 73, 49, 103, 37, 91)(20, 74, 50, 104, 42, 96)(35, 89, 45, 99, 53, 107)(36, 90, 46, 100, 54, 108)(39, 93, 51, 105, 41, 95)(40, 94, 52, 106, 44, 98)(109, 163, 111, 165, 112, 166, 121, 175, 115, 169, 114, 168)(110, 164, 116, 170, 117, 171, 134, 188, 119, 173, 118, 172)(113, 167, 125, 179, 126, 180, 146, 200, 128, 182, 127, 181)(120, 174, 142, 196, 143, 197, 131, 185, 145, 199, 144, 198)(122, 176, 136, 190, 147, 201, 132, 186, 138, 192, 148, 202)(123, 177, 149, 203, 150, 204, 129, 183, 152, 206, 151, 205)(124, 178, 153, 207, 140, 194, 130, 184, 154, 208, 133, 187)(135, 189, 156, 210, 159, 213, 141, 195, 157, 211, 160, 214)(137, 191, 161, 215, 158, 212, 139, 193, 162, 216, 155, 209)
	L = (1, 112)(2, 117)(3, 121)(4, 115)(5, 126)(6, 111)(7, 109)(8, 134)(9, 119)(10, 116)(11, 110)(12, 143)(13, 114)(14, 147)(15, 150)(16, 140)(17, 146)(18, 128)(19, 125)(20, 113)(21, 151)(22, 133)(23, 144)(24, 148)(25, 153)(26, 118)(27, 159)(28, 132)(29, 158)(30, 122)(31, 155)(32, 154)(33, 160)(34, 131)(35, 145)(36, 142)(37, 120)(38, 127)(39, 138)(40, 136)(41, 129)(42, 152)(43, 149)(44, 123)(45, 130)(46, 124)(47, 161)(48, 141)(49, 135)(50, 162)(51, 157)(52, 156)(53, 139)(54, 137)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.907 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x ((C3 x C3) : C3) (small group id <54, 10>)
Aut   = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 28>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y1)^2, Y2 * Y3 * Y1 * Y3^-1 * Y2, Y2 * Y1 * Y3 * Y2 * Y3^-1, R * Y2 * Y1 * R * Y2^-1, Y1 * Y3^-1 * Y2^2 * Y3, (Y1 * Y3^-1)^3, Y2^6, (Y3^-1 * Y1^-1)^3 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 8, 62, 14, 68)(4, 58, 16, 70, 18, 72)(6, 60, 10, 64, 21, 75)(7, 61, 26, 80, 28, 82)(9, 63, 32, 86, 33, 87)(11, 65, 38, 92, 39, 93)(12, 66, 30, 84, 42, 96)(13, 67, 23, 77, 43, 97)(15, 69, 29, 83, 37, 91)(17, 71, 45, 99, 34, 88)(19, 73, 35, 89, 48, 102)(20, 74, 50, 104, 49, 103)(22, 76, 52, 106, 46, 100)(24, 78, 36, 90, 51, 105)(25, 79, 44, 98, 27, 81)(31, 85, 40, 94, 47, 101)(41, 95, 53, 107, 54, 108)(109, 163, 111, 165, 120, 174, 149, 203, 132, 186, 114, 168)(110, 164, 116, 170, 138, 192, 161, 215, 144, 198, 118, 172)(112, 166, 125, 179, 140, 194, 151, 205, 157, 211, 127, 181)(113, 167, 122, 176, 150, 204, 162, 216, 159, 213, 129, 183)(115, 169, 135, 189, 130, 184, 148, 202, 119, 173, 137, 191)(117, 171, 131, 185, 158, 212, 156, 210, 126, 180, 142, 196)(121, 175, 128, 182, 143, 197, 124, 178, 153, 207, 141, 195)(123, 177, 136, 190, 152, 206, 154, 208, 139, 193, 147, 201)(133, 187, 160, 214, 155, 209, 146, 200, 145, 199, 134, 188)
	L = (1, 112)(2, 117)(3, 121)(4, 115)(5, 128)(6, 131)(7, 109)(8, 127)(9, 119)(10, 143)(11, 110)(12, 126)(13, 123)(14, 142)(15, 111)(16, 154)(17, 155)(18, 146)(19, 139)(20, 130)(21, 125)(22, 113)(23, 133)(24, 124)(25, 114)(26, 150)(27, 161)(28, 144)(29, 162)(30, 141)(31, 116)(32, 136)(33, 160)(34, 152)(35, 145)(36, 140)(37, 118)(38, 120)(39, 159)(40, 149)(41, 151)(42, 157)(43, 148)(44, 122)(45, 137)(46, 132)(47, 129)(48, 135)(49, 134)(50, 147)(51, 158)(52, 138)(53, 156)(54, 153)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.911
Graph:: simple bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.908 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x ((C3 x C3) : C3) (small group id <54, 10>)
Aut   = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 28>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (Y2^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, R * Y2 * R * Y2^-1 * Y1, Y2 * Y3^-1 * Y2 * Y1^-1 * Y3, Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y1, Y2 * Y1^-1 * R * Y2^-1 * R, Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y1, Y3 * Y1 * Y3^-1 * Y2^-2, (Y3 * Y1^-1)^3, (Y1^-1 * Y3^-1)^3, Y2^6 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 8, 62, 14, 68)(4, 58, 16, 70, 18, 72)(6, 60, 10, 64, 21, 75)(7, 61, 26, 80, 28, 82)(9, 63, 33, 87, 35, 89)(11, 65, 38, 92, 40, 94)(12, 66, 30, 84, 42, 96)(13, 67, 44, 98, 23, 77)(15, 69, 47, 101, 29, 83)(17, 71, 31, 85, 51, 105)(19, 73, 49, 103, 34, 88)(20, 74, 45, 99, 50, 104)(22, 76, 48, 102, 43, 97)(24, 78, 36, 90, 52, 106)(25, 79, 27, 81, 32, 86)(37, 91, 39, 93, 46, 100)(41, 95, 54, 108, 53, 107)(109, 163, 111, 165, 120, 174, 149, 203, 132, 186, 114, 168)(110, 164, 116, 170, 138, 192, 162, 216, 144, 198, 118, 172)(112, 166, 125, 179, 158, 212, 152, 206, 141, 195, 127, 181)(113, 167, 122, 176, 150, 204, 161, 215, 160, 214, 129, 183)(115, 169, 135, 189, 119, 173, 147, 201, 130, 184, 137, 191)(117, 171, 142, 196, 126, 180, 159, 213, 153, 207, 121, 175)(123, 177, 134, 188, 140, 194, 146, 200, 154, 208, 156, 210)(124, 178, 139, 193, 128, 182, 131, 185, 143, 197, 157, 211)(133, 187, 148, 202, 145, 199, 151, 205, 155, 209, 136, 190)
	L = (1, 112)(2, 117)(3, 121)(4, 115)(5, 128)(6, 131)(7, 109)(8, 139)(9, 119)(10, 125)(11, 110)(12, 124)(13, 123)(14, 127)(15, 111)(16, 151)(17, 145)(18, 146)(19, 154)(20, 130)(21, 142)(22, 113)(23, 133)(24, 126)(25, 114)(26, 160)(27, 161)(28, 138)(29, 162)(30, 141)(31, 140)(32, 116)(33, 136)(34, 155)(35, 156)(36, 143)(37, 118)(38, 132)(39, 149)(40, 150)(41, 152)(42, 153)(43, 120)(44, 147)(45, 148)(46, 122)(47, 129)(48, 144)(49, 135)(50, 134)(51, 137)(52, 158)(53, 157)(54, 159)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.909 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x ((C3 x C3) : C3) (small group id <54, 10>)
Aut   = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 28>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, Y1^3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^6, (Y3^-1 * Y1^-1)^3, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1, Y2^-2 * Y1 * Y2 * Y1 * Y2 * Y1, Y2 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 4, 58)(3, 57, 8, 62, 10, 64)(5, 59, 13, 67, 14, 68)(6, 60, 16, 70, 18, 72)(7, 61, 19, 73, 20, 74)(9, 63, 24, 78, 26, 80)(11, 65, 29, 83, 31, 85)(12, 66, 32, 86, 33, 87)(15, 69, 39, 93, 40, 94)(17, 71, 27, 81, 42, 96)(21, 75, 38, 92, 47, 101)(22, 76, 30, 84, 43, 97)(23, 77, 37, 91, 45, 99)(25, 79, 41, 95, 50, 104)(28, 82, 44, 98, 35, 89)(34, 88, 46, 100, 36, 90)(48, 102, 51, 105, 53, 107)(49, 103, 52, 106, 54, 108)(109, 163, 111, 165, 117, 171, 133, 187, 123, 177, 113, 167)(110, 164, 114, 168, 125, 179, 149, 203, 129, 183, 115, 169)(112, 166, 119, 173, 138, 192, 158, 212, 142, 196, 120, 174)(116, 170, 130, 184, 156, 210, 147, 201, 141, 195, 131, 185)(118, 172, 135, 189, 160, 214, 148, 202, 127, 181, 136, 190)(121, 175, 143, 197, 139, 193, 132, 186, 157, 211, 144, 198)(122, 176, 145, 199, 124, 178, 134, 188, 159, 213, 146, 200)(126, 180, 151, 205, 162, 216, 155, 209, 140, 194, 152, 206)(128, 182, 153, 207, 137, 191, 150, 204, 161, 215, 154, 208)
	L = (1, 110)(2, 112)(3, 116)(4, 109)(5, 121)(6, 124)(7, 127)(8, 118)(9, 132)(10, 111)(11, 137)(12, 140)(13, 122)(14, 113)(15, 147)(16, 126)(17, 135)(18, 114)(19, 128)(20, 115)(21, 146)(22, 138)(23, 145)(24, 134)(25, 149)(26, 117)(27, 150)(28, 152)(29, 139)(30, 151)(31, 119)(32, 141)(33, 120)(34, 154)(35, 136)(36, 142)(37, 153)(38, 155)(39, 148)(40, 123)(41, 158)(42, 125)(43, 130)(44, 143)(45, 131)(46, 144)(47, 129)(48, 159)(49, 160)(50, 133)(51, 161)(52, 162)(53, 156)(54, 157)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.910 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x ((C3 x C3) : C3) (small group id <54, 10>)
Aut   = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 28>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, Y2^2 * Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1, Y2 * Y1^-1 * Y3 * Y2 * Y3, Y3 * Y2 * Y3 * Y2 * Y1^-1, Y3^-1 * Y2 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, (Y1 * Y3)^3, Y2^6, (R * Y1^-1 * Y2)^2, Y1^-1 * Y3^-1 * Y2^-1 * Y1 * Y2 * Y3, Y3^-1 * Y2^-1 * Y3 * Y1 * Y2 * Y1^-1, (Y3 * Y1^-1)^3, Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y1^-1 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 14, 68)(4, 58, 16, 70, 18, 72)(6, 60, 15, 69, 24, 78)(7, 61, 27, 81, 25, 79)(8, 62, 23, 77, 31, 85)(9, 63, 33, 87, 35, 89)(10, 64, 32, 86, 37, 91)(11, 65, 39, 93, 38, 92)(13, 67, 30, 84, 42, 96)(17, 71, 34, 88, 26, 80)(19, 73, 36, 90, 49, 103)(20, 74, 43, 97, 51, 105)(21, 75, 50, 104, 28, 82)(22, 76, 46, 100, 47, 101)(29, 83, 40, 94, 52, 106)(41, 95, 48, 102, 54, 108)(44, 98, 53, 107, 45, 99)(109, 163, 111, 165, 117, 171, 142, 196, 133, 187, 114, 168)(110, 164, 116, 170, 128, 182, 134, 188, 146, 200, 118, 172)(112, 166, 125, 179, 155, 209, 129, 183, 113, 167, 127, 181)(115, 169, 136, 190, 149, 203, 120, 174, 126, 180, 137, 191)(119, 173, 132, 186, 156, 210, 131, 185, 143, 197, 148, 202)(121, 175, 135, 189, 140, 194, 152, 206, 122, 176, 151, 205)(123, 177, 153, 207, 157, 211, 141, 195, 150, 204, 154, 208)(124, 178, 138, 192, 147, 201, 158, 212, 161, 215, 139, 193)(130, 184, 145, 199, 162, 216, 144, 198, 159, 213, 160, 214)
	L = (1, 112)(2, 117)(3, 121)(4, 115)(5, 128)(6, 131)(7, 109)(8, 138)(9, 119)(10, 144)(11, 110)(12, 142)(13, 123)(14, 137)(15, 111)(16, 155)(17, 118)(18, 147)(19, 150)(20, 130)(21, 120)(22, 113)(23, 134)(24, 157)(25, 152)(26, 114)(27, 149)(28, 139)(29, 145)(30, 140)(31, 148)(32, 116)(33, 133)(34, 129)(35, 154)(36, 125)(37, 122)(38, 161)(39, 156)(40, 136)(41, 159)(42, 158)(43, 146)(44, 141)(45, 124)(46, 162)(47, 153)(48, 126)(49, 160)(50, 127)(51, 135)(52, 132)(53, 151)(54, 143)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.913
Graph:: bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.911 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x ((C3 x C3) : C3) (small group id <54, 10>)
Aut   = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 28>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (R * Y1)^2, Y1 * Y2^2 * Y3^-1, (R * Y3)^2, Y2^-1 * Y1 * Y2^-1 * Y3 * Y1, Y1 * Y3 * Y2 * Y3 * Y2, Y2 * Y3 * Y1^-1 * Y2^-1 * Y1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1, (Y1^-1 * Y3)^3, (Y3^-1 * Y1^-1)^3, Y3 * Y2^-1 * Y3 * Y2^2 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 15, 69)(4, 58, 17, 71, 19, 73)(6, 60, 23, 77, 16, 70)(7, 61, 25, 79, 28, 82)(8, 62, 30, 84, 32, 86)(9, 63, 34, 88, 35, 89)(10, 64, 27, 81, 33, 87)(11, 65, 36, 90, 39, 93)(13, 67, 42, 96, 43, 97)(14, 68, 31, 85, 44, 98)(18, 72, 26, 80, 37, 91)(20, 74, 49, 103, 24, 78)(21, 75, 38, 92, 50, 104)(22, 76, 51, 105, 47, 101)(29, 83, 40, 94, 52, 106)(41, 95, 46, 100, 54, 108)(45, 99, 53, 107, 48, 102)(109, 163, 111, 165, 121, 175, 145, 199, 133, 187, 114, 168)(110, 164, 116, 170, 112, 166, 126, 180, 144, 198, 118, 172)(113, 167, 128, 182, 117, 171, 134, 188, 159, 213, 129, 183)(115, 169, 135, 189, 153, 207, 123, 177, 125, 179, 137, 191)(119, 173, 146, 200, 161, 215, 140, 194, 142, 196, 148, 202)(120, 174, 143, 197, 122, 176, 136, 190, 158, 212, 149, 203)(124, 178, 154, 208, 138, 192, 151, 205, 139, 193, 147, 201)(127, 181, 152, 206, 155, 209, 141, 195, 162, 216, 157, 211)(130, 184, 131, 185, 156, 210, 132, 186, 150, 204, 160, 214)
	L = (1, 112)(2, 117)(3, 122)(4, 115)(5, 121)(6, 132)(7, 109)(8, 139)(9, 119)(10, 123)(11, 110)(12, 137)(13, 130)(14, 124)(15, 145)(16, 111)(17, 155)(18, 129)(19, 144)(20, 152)(21, 140)(22, 113)(23, 138)(24, 134)(25, 149)(26, 114)(27, 157)(28, 153)(29, 146)(30, 148)(31, 141)(32, 126)(33, 116)(34, 136)(35, 159)(36, 154)(37, 118)(38, 120)(39, 161)(40, 131)(41, 151)(42, 147)(43, 133)(44, 158)(45, 142)(46, 127)(47, 156)(48, 125)(49, 160)(50, 128)(51, 162)(52, 135)(53, 150)(54, 143)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.907
Graph:: bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.912 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x ((C3 x C3) : C3) (small group id <54, 10>)
Aut   = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 28>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, Y2^2 * Y1 * Y3, (R * Y3)^2, (R * Y1)^2, Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-1, Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y1, Y3 * Y1 * Y3^-1 * Y2 * Y3 * Y2, Y3 * Y1 * Y2 * Y1 * Y2 * Y1^-1, Y2^6, (Y3 * Y1^-1)^3, (R * Y2 * Y3^-1)^2, (R * Y1^-1 * Y2^-1)^2, Y2^-1 * Y1^-1 * R * Y2 * R * Y3^-1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 15, 69)(4, 58, 17, 71, 19, 73)(6, 60, 24, 78, 26, 80)(7, 61, 27, 81, 13, 67)(8, 62, 30, 84, 33, 87)(9, 63, 34, 88, 35, 89)(10, 64, 14, 68, 38, 92)(11, 65, 39, 93, 31, 85)(16, 70, 20, 74, 36, 90)(18, 72, 32, 86, 45, 99)(21, 75, 49, 103, 29, 83)(22, 76, 50, 104, 51, 105)(23, 77, 41, 95, 47, 101)(25, 79, 37, 91, 48, 102)(28, 82, 40, 94, 46, 100)(42, 96, 43, 97, 53, 107)(44, 98, 54, 108, 52, 106)(109, 163, 111, 165, 121, 175, 144, 198, 117, 171, 114, 168)(110, 164, 116, 170, 139, 193, 124, 178, 130, 184, 118, 172)(112, 166, 126, 180, 113, 167, 129, 183, 155, 209, 128, 182)(115, 169, 136, 190, 127, 181, 132, 186, 160, 214, 137, 191)(119, 173, 148, 202, 143, 197, 122, 176, 152, 206, 123, 177)(120, 174, 149, 203, 156, 210, 142, 196, 153, 207, 150, 204)(125, 179, 146, 200, 161, 215, 157, 211, 147, 201, 145, 199)(131, 185, 154, 208, 159, 213, 140, 194, 162, 216, 141, 195)(133, 187, 158, 212, 134, 188, 151, 205, 138, 192, 135, 189)
	L = (1, 112)(2, 117)(3, 122)(4, 115)(5, 130)(6, 133)(7, 109)(8, 140)(9, 119)(10, 145)(11, 110)(12, 114)(13, 151)(14, 124)(15, 153)(16, 111)(17, 155)(18, 156)(19, 147)(20, 116)(21, 132)(22, 131)(23, 113)(24, 144)(25, 120)(26, 136)(27, 160)(28, 141)(29, 146)(30, 118)(31, 161)(32, 128)(33, 134)(34, 121)(35, 149)(36, 129)(37, 138)(38, 148)(39, 152)(40, 137)(41, 162)(42, 125)(43, 142)(44, 127)(45, 154)(46, 123)(47, 150)(48, 157)(49, 126)(50, 139)(51, 135)(52, 159)(53, 158)(54, 143)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.913 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x ((C3 x C3) : C3) (small group id <54, 10>)
Aut   = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 28>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1^3, Y3^3, (R * Y1)^2, (R * Y3)^2, Y1 * Y2^-2 * Y3^-1, Y2 * Y1 * Y2 * Y3 * Y1, Y2^-1 * Y1 * Y3 * Y2^-1 * Y3, (Y1 * Y3^-1)^3, Y3 * Y2 * Y3 * Y1^-1 * Y3^-1 * Y2, Y3 * Y1 * Y3^-1 * Y2 * Y1^-1 * Y2^-1, Y2^-2 * Y1^-1 * Y3 * Y2^-2, Y3^-1 * Y2 * Y3 * Y1^-1 * Y2^-1 * Y1, (Y3^-1 * Y1^-1)^3, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y2 * Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 15, 69)(4, 58, 17, 71, 18, 72)(6, 60, 24, 78, 26, 80)(7, 61, 13, 67, 28, 82)(8, 62, 29, 83, 31, 85)(9, 63, 33, 87, 34, 88)(10, 64, 35, 89, 37, 91)(11, 65, 30, 84, 39, 93)(14, 68, 22, 76, 44, 98)(16, 70, 32, 86, 19, 73)(20, 74, 40, 94, 50, 104)(21, 75, 45, 99, 43, 97)(23, 77, 47, 101, 48, 102)(25, 79, 36, 90, 49, 103)(27, 81, 38, 92, 51, 105)(41, 95, 52, 106, 54, 108)(42, 96, 46, 100, 53, 107)(109, 163, 111, 165, 121, 175, 140, 194, 129, 183, 114, 168)(110, 164, 116, 170, 138, 192, 127, 181, 112, 166, 118, 172)(113, 167, 128, 182, 155, 209, 124, 178, 117, 171, 130, 184)(115, 169, 135, 189, 125, 179, 134, 188, 160, 214, 137, 191)(119, 173, 146, 200, 141, 195, 145, 199, 162, 216, 148, 202)(120, 174, 131, 185, 159, 213, 153, 207, 122, 176, 149, 203)(123, 177, 147, 201, 144, 198, 151, 205, 143, 197, 154, 208)(126, 180, 152, 206, 161, 215, 139, 193, 156, 210, 157, 211)(132, 186, 150, 204, 158, 212, 136, 190, 133, 187, 142, 196)
	L = (1, 112)(2, 117)(3, 122)(4, 115)(5, 129)(6, 133)(7, 109)(8, 134)(9, 119)(10, 144)(11, 110)(12, 143)(13, 150)(14, 124)(15, 114)(16, 111)(17, 156)(18, 138)(19, 128)(20, 145)(21, 131)(22, 157)(23, 113)(24, 135)(25, 123)(26, 140)(27, 148)(28, 160)(29, 152)(30, 154)(31, 118)(32, 116)(33, 136)(34, 155)(35, 146)(36, 139)(37, 127)(38, 120)(39, 162)(40, 132)(41, 125)(42, 151)(43, 121)(44, 159)(45, 147)(46, 126)(47, 161)(48, 149)(49, 158)(50, 130)(51, 137)(52, 141)(53, 142)(54, 153)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.910
Graph:: bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.914 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x ((C3 x C3) : C3) (small group id <54, 10>)
Aut   = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 28>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y3 * Y2^-1 * Y1^3 * Y2^-1, Y1^2 * Y3^-1 * Y2^2 * Y1, Y2^6, Y3 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y1^-1 * Y2 * Y1^-1 * Y3^-1 * Y1^-1, Y1^2 * Y2 * Y3^-2 * Y1, Y2^-1 * Y3 * Y2^-3 * Y3, Y3^2 * Y1^-1 * Y2^-2 * Y1^-1 * Y3^-1 * Y1^-1, Y2^2 * Y1^-1 * Y2 * Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 6, 60, 18, 72, 17, 71, 5, 59)(3, 57, 9, 63, 27, 81, 13, 67, 33, 87, 11, 65)(4, 58, 12, 66, 31, 85, 10, 64, 30, 84, 14, 68)(7, 61, 21, 75, 43, 97, 25, 79, 48, 102, 23, 77)(8, 62, 24, 78, 46, 100, 22, 76, 45, 99, 26, 80)(15, 69, 37, 91, 40, 94, 19, 73, 39, 93, 35, 89)(16, 70, 38, 92, 42, 96, 20, 74, 41, 95, 28, 82)(29, 83, 44, 98, 53, 107, 51, 105, 36, 90, 50, 104)(32, 86, 47, 101, 34, 88, 49, 103, 54, 108, 52, 106)(109, 163, 111, 165, 118, 172, 126, 180, 121, 175, 112, 166)(110, 164, 115, 169, 130, 184, 125, 179, 133, 187, 116, 170)(113, 167, 123, 177, 128, 182, 114, 168, 127, 181, 124, 178)(117, 171, 136, 190, 159, 213, 141, 195, 150, 204, 137, 191)(119, 173, 132, 186, 157, 211, 135, 189, 153, 207, 140, 194)(120, 174, 142, 196, 148, 202, 138, 192, 160, 214, 143, 197)(122, 176, 144, 198, 156, 210, 139, 193, 152, 206, 129, 183)(131, 185, 149, 203, 162, 216, 151, 205, 146, 200, 155, 209)(134, 188, 158, 212, 145, 199, 154, 208, 161, 215, 147, 201)
	L = (1, 112)(2, 116)(3, 109)(4, 121)(5, 124)(6, 128)(7, 110)(8, 133)(9, 137)(10, 111)(11, 140)(12, 143)(13, 126)(14, 129)(15, 113)(16, 127)(17, 130)(18, 118)(19, 114)(20, 123)(21, 152)(22, 115)(23, 155)(24, 119)(25, 125)(26, 147)(27, 157)(28, 117)(29, 150)(30, 148)(31, 156)(32, 153)(33, 159)(34, 120)(35, 160)(36, 122)(37, 158)(38, 151)(39, 161)(40, 142)(41, 131)(42, 141)(43, 162)(44, 139)(45, 135)(46, 145)(47, 146)(48, 144)(49, 132)(50, 134)(51, 136)(52, 138)(53, 154)(54, 149)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E28.904
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 12^18 ]

E28.915 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 6, 6})
Quotient :: edge^2
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = C3 x S3 x S3 (small group id <108, 38>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1, Y2^3, Y1^3, (R * Y3)^2, R * Y1 * R * Y2, Y3^-1 * Y1 * Y3^2 * Y1^-1 * Y3^-1, Y3^-1 * Y1 * Y3^2 * Y1^-1 * Y3^-1, Y3^2 * Y1 * Y3^-2 * Y1^-1, Y3^-1 * Y2^-1 * Y3^2 * Y2 * Y3^-1, Y3^6, Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y3 * Y2 * Y3^-1 * Y1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y2 * Y3 * Y1 * Y3^-1 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 55, 4, 58, 12, 66, 32, 86, 15, 69, 5, 59)(2, 56, 6, 60, 18, 72, 39, 93, 21, 75, 7, 61)(3, 57, 8, 62, 24, 78, 46, 100, 27, 81, 9, 63)(10, 64, 28, 82, 49, 103, 33, 87, 13, 67, 29, 83)(11, 65, 30, 84, 50, 104, 34, 88, 14, 68, 31, 85)(16, 70, 35, 89, 51, 105, 40, 94, 19, 73, 36, 90)(17, 71, 37, 91, 52, 106, 41, 95, 20, 74, 38, 92)(22, 76, 42, 96, 53, 107, 47, 101, 25, 79, 43, 97)(23, 77, 44, 98, 54, 108, 48, 102, 26, 80, 45, 99)(109, 110, 111)(112, 118, 119)(113, 121, 122)(114, 124, 125)(115, 127, 128)(116, 130, 131)(117, 133, 134)(120, 126, 132)(123, 129, 135)(136, 143, 150)(137, 144, 151)(138, 145, 152)(139, 146, 153)(140, 157, 158)(141, 148, 155)(142, 149, 156)(147, 159, 160)(154, 161, 162)(163, 165, 164)(166, 173, 172)(167, 176, 175)(168, 179, 178)(169, 182, 181)(170, 185, 184)(171, 188, 187)(174, 186, 180)(177, 189, 183)(190, 204, 197)(191, 205, 198)(192, 206, 199)(193, 207, 200)(194, 212, 211)(195, 209, 202)(196, 210, 203)(201, 214, 213)(208, 216, 215)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 24^3 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E28.923
Graph:: simple bipartite
	v = 45 e = 108 f = 9
	degree seq :: [ 3^36, 12^9 ]

E28.916 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 6, 6})
Quotient :: edge^2
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = C3 x S3 x S3 (small group id <108, 38>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, (Y1^-1, Y2^-1), Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1, R * Y1 * R * Y2, (R * Y3)^2, Y2^-1 * Y3^-2 * Y1^-1, Y2^-1 * Y3^2 * Y1^-1 * Y3^2, Y1^-1 * Y3^4 * Y2^-1, Y3^-1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1, Y3^-1 * Y1^-1 * Y3^-1 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y3^-1 * Y1^-1 * Y3 * Y2^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 55, 4, 58, 17, 71, 24, 78, 8, 62, 7, 61)(2, 56, 9, 63, 6, 60, 21, 75, 13, 67, 11, 65)(3, 57, 12, 66, 5, 59, 20, 74, 10, 64, 14, 68)(15, 69, 37, 91, 19, 73, 42, 96, 22, 76, 38, 92)(16, 70, 39, 93, 18, 72, 41, 95, 23, 77, 40, 94)(25, 79, 43, 97, 28, 82, 48, 102, 29, 83, 44, 98)(26, 80, 45, 99, 27, 81, 47, 101, 30, 84, 46, 100)(31, 85, 49, 103, 34, 88, 54, 108, 35, 89, 50, 104)(32, 86, 51, 105, 33, 87, 53, 107, 36, 90, 52, 106)(109, 110, 113)(111, 116, 121)(112, 123, 126)(114, 118, 125)(115, 130, 124)(117, 133, 135)(119, 137, 134)(120, 139, 141)(122, 143, 140)(127, 131, 132)(128, 142, 144)(129, 136, 138)(145, 151, 162)(146, 152, 157)(147, 153, 161)(148, 154, 159)(149, 155, 160)(150, 156, 158)(163, 165, 168)(164, 170, 172)(166, 178, 181)(167, 175, 179)(169, 185, 177)(171, 188, 190)(173, 192, 187)(174, 194, 196)(176, 198, 193)(180, 184, 186)(182, 195, 197)(183, 189, 191)(199, 211, 210)(200, 212, 205)(201, 213, 209)(202, 214, 207)(203, 215, 208)(204, 216, 206)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 24^3 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E28.924
Graph:: simple bipartite
	v = 45 e = 108 f = 9
	degree seq :: [ 3^36, 12^9 ]

E28.917 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 6, 6})
Quotient :: edge^2
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, (R * Y3)^2, R * Y1 * R * Y2, Y3^-1 * Y1 * Y3 * Y2^-1, (Y2, Y1), Y3 * Y1 * Y3^-1 * Y2^-1, Y3^6, Y3^-1 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-2 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 55, 4, 58, 15, 69, 32, 86, 21, 75, 7, 61)(2, 56, 9, 63, 24, 78, 41, 95, 27, 81, 11, 65)(3, 57, 12, 66, 28, 82, 44, 98, 31, 85, 14, 68)(5, 59, 17, 71, 33, 87, 48, 102, 37, 91, 19, 73)(6, 60, 16, 70, 34, 88, 47, 101, 38, 92, 20, 74)(8, 62, 22, 76, 39, 93, 51, 105, 40, 94, 23, 77)(10, 64, 25, 79, 42, 96, 52, 106, 43, 97, 26, 80)(13, 67, 29, 83, 45, 99, 53, 107, 46, 100, 30, 84)(18, 72, 35, 89, 49, 103, 54, 108, 50, 104, 36, 90)(109, 110, 113)(111, 116, 121)(112, 120, 124)(114, 118, 126)(115, 122, 128)(117, 130, 133)(119, 131, 134)(123, 132, 141)(125, 137, 143)(127, 138, 144)(129, 135, 145)(136, 147, 153)(139, 148, 154)(140, 152, 155)(142, 150, 157)(146, 151, 158)(149, 159, 160)(156, 161, 162)(163, 165, 168)(164, 170, 172)(166, 171, 179)(167, 175, 180)(169, 173, 181)(174, 184, 191)(176, 185, 192)(177, 190, 196)(178, 187, 197)(182, 188, 198)(183, 193, 200)(186, 201, 204)(189, 202, 205)(194, 203, 210)(195, 207, 211)(199, 208, 212)(206, 213, 215)(209, 214, 216)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 24^3 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E28.925
Graph:: simple bipartite
	v = 45 e = 108 f = 9
	degree seq :: [ 3^36, 12^9 ]

E28.918 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 6, 6})
Quotient :: edge^2
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = C3 x S3 x S3 (small group id <108, 38>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^-1 * Y3 * Y1 * Y3, (Y1, Y2^-1), (R * Y3)^2, R * Y2 * R * Y1, Y3 * Y2 * Y3 * Y2^-1, Y1^3 * Y2^3, Y2^6, Y1^6, Y2^-1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y1^-1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 55, 4, 58, 7, 61)(2, 56, 10, 64, 12, 66)(3, 57, 14, 68, 16, 70)(5, 59, 19, 73, 17, 71)(6, 60, 22, 76, 18, 72)(8, 62, 26, 80, 28, 82)(9, 63, 30, 84, 31, 85)(11, 65, 33, 87, 32, 86)(13, 67, 35, 89, 36, 90)(15, 69, 38, 92, 37, 91)(20, 74, 39, 93, 42, 96)(21, 75, 40, 94, 43, 97)(23, 77, 41, 95, 44, 98)(24, 78, 45, 99, 46, 100)(25, 79, 47, 101, 48, 102)(27, 81, 50, 104, 49, 103)(29, 83, 51, 105, 52, 106)(34, 88, 53, 107, 54, 108)(109, 110, 116, 132, 128, 113)(111, 117, 133, 131, 142, 123)(112, 120, 134, 154, 147, 125)(114, 119, 135, 121, 137, 129)(115, 118, 136, 153, 150, 127)(122, 139, 155, 152, 161, 145)(124, 138, 156, 149, 162, 146)(126, 141, 157, 143, 160, 148)(130, 140, 158, 144, 159, 151)(163, 165, 175, 186, 185, 168)(164, 171, 191, 182, 196, 173)(166, 178, 197, 208, 203, 180)(167, 177, 189, 170, 187, 183)(169, 176, 198, 207, 206, 184)(172, 193, 213, 204, 215, 194)(174, 192, 214, 201, 216, 195)(179, 200, 211, 188, 210, 202)(181, 199, 212, 190, 209, 205)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.928
Graph:: simple bipartite
	v = 36 e = 108 f = 18
	degree seq :: [ 6^36 ]

E28.919 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 6, 6})
Quotient :: edge^2
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = C3 x S3 x S3 (small group id <108, 38>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2, Y3^3, R * Y1 * R * Y2, (R * Y3)^2, Y2^6, Y1 * Y3^-1 * Y2^2 * Y3 * Y1, Y1^6, Y2 * Y3^-1 * Y2^-1 * Y1 * Y3 * Y1^-1, Y3^-1 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y2^-1, Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 55, 4, 58, 5, 59)(2, 56, 7, 61, 8, 62)(3, 57, 10, 64, 11, 65)(6, 60, 17, 71, 18, 72)(9, 63, 23, 77, 24, 78)(12, 66, 27, 81, 28, 82)(13, 67, 29, 83, 30, 84)(14, 68, 31, 85, 32, 86)(15, 69, 33, 87, 34, 88)(16, 70, 35, 89, 36, 90)(19, 73, 39, 93, 40, 94)(20, 74, 41, 95, 42, 96)(21, 75, 43, 97, 44, 98)(22, 76, 45, 99, 46, 100)(25, 79, 47, 101, 48, 102)(26, 80, 49, 103, 50, 104)(37, 91, 51, 105, 52, 106)(38, 92, 53, 107, 54, 108)(109, 110, 114, 124, 117, 111)(112, 120, 125, 145, 131, 121)(113, 122, 126, 146, 132, 123)(115, 127, 143, 133, 118, 128)(116, 129, 144, 134, 119, 130)(135, 147, 159, 155, 137, 149)(136, 151, 160, 157, 138, 153)(139, 148, 161, 156, 141, 150)(140, 152, 162, 158, 142, 154)(163, 165, 171, 178, 168, 164)(166, 175, 185, 199, 179, 174)(167, 177, 186, 200, 180, 176)(169, 182, 172, 187, 197, 181)(170, 184, 173, 188, 198, 183)(189, 203, 191, 209, 213, 201)(190, 207, 192, 211, 214, 205)(193, 204, 195, 210, 215, 202)(194, 208, 196, 212, 216, 206)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.927
Graph:: simple bipartite
	v = 36 e = 108 f = 18
	degree seq :: [ 6^36 ]

E28.920 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 6, 6})
Quotient :: edge^2
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = C3 x S3 x S3 (small group id <108, 38>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y1, Y2), Y1^-1 * Y3 * Y2^-1 * Y3, (R * Y3)^2, R * Y1 * R * Y2, Y1^6, Y1^3 * Y2^3, Y3 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1, Y3 * Y2 * Y1 * Y3^-1 * Y1^-1 * Y2^-1, Y2^6, Y3 * Y1 * Y2 * Y1 * Y3 * Y2, Y2 * Y3 * Y2^-2 * Y3^-1 * Y2, Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 55, 4, 58, 7, 61)(2, 56, 10, 64, 12, 66)(3, 57, 14, 68, 16, 70)(5, 59, 19, 73, 22, 76)(6, 60, 23, 77, 25, 79)(8, 62, 30, 84, 32, 86)(9, 63, 34, 88, 35, 89)(11, 65, 38, 92, 40, 94)(13, 67, 43, 97, 44, 98)(15, 69, 46, 100, 47, 101)(17, 71, 29, 83, 27, 81)(18, 72, 33, 87, 26, 80)(20, 74, 48, 102, 45, 99)(21, 75, 41, 95, 37, 91)(24, 78, 42, 96, 36, 90)(28, 82, 49, 103, 50, 104)(31, 85, 52, 106, 53, 107)(39, 93, 54, 108, 51, 105)(109, 110, 116, 136, 128, 113)(111, 117, 137, 132, 147, 123)(112, 125, 138, 159, 156, 124)(114, 119, 139, 121, 141, 129)(115, 131, 140, 160, 153, 134)(118, 144, 157, 155, 127, 143)(120, 146, 158, 151, 130, 149)(122, 145, 135, 148, 162, 152)(126, 142, 133, 150, 161, 154)(163, 165, 175, 190, 186, 168)(164, 171, 195, 182, 201, 173)(166, 180, 205, 213, 204, 174)(167, 177, 193, 170, 191, 183)(169, 181, 206, 214, 198, 189)(172, 199, 188, 209, 216, 194)(176, 207, 211, 202, 185, 197)(178, 208, 212, 192, 187, 203)(179, 196, 184, 210, 215, 200)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.926
Graph:: simple bipartite
	v = 36 e = 108 f = 18
	degree seq :: [ 6^36 ]

E28.921 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 6, 6})
Quotient :: edge^2
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = C3 x S3 x S3 (small group id <108, 38>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y1^-1, Y2), Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1, R * Y1 * R * Y2, (R * Y3)^2, Y1^3 * Y2^3, Y1^6, Y3 * Y1^-1 * Y2 * Y3^-1 * Y1 * Y2^-1, Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y1^-1 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1, Y1^-1 * Y2^-1 * Y3^-1 * Y2 * Y1 * Y3, Y1 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y1, Y2^6 ]
Map:: non-degenerate
	R = (1, 55, 4, 58, 7, 61)(2, 56, 10, 64, 12, 66)(3, 57, 14, 68, 16, 70)(5, 59, 21, 75, 18, 72)(6, 60, 24, 78, 17, 71)(8, 62, 30, 84, 32, 86)(9, 63, 34, 88, 35, 89)(11, 65, 39, 93, 36, 90)(13, 67, 43, 97, 44, 98)(15, 69, 47, 101, 45, 99)(19, 73, 33, 87, 27, 81)(20, 74, 29, 83, 26, 80)(22, 76, 48, 102, 46, 100)(23, 77, 42, 96, 37, 91)(25, 79, 41, 95, 38, 92)(28, 82, 49, 103, 50, 104)(31, 85, 53, 107, 51, 105)(40, 94, 54, 108, 52, 106)(109, 110, 116, 136, 130, 113)(111, 117, 137, 133, 148, 123)(112, 125, 138, 159, 156, 127)(114, 119, 139, 121, 141, 131)(115, 134, 140, 162, 154, 122)(118, 144, 157, 152, 129, 145)(120, 149, 158, 155, 126, 142)(124, 150, 128, 147, 160, 151)(132, 146, 161, 153, 135, 143)(163, 165, 175, 190, 187, 168)(164, 171, 195, 184, 202, 173)(166, 180, 205, 213, 203, 182)(167, 177, 193, 170, 191, 185)(169, 189, 206, 216, 200, 172)(174, 204, 181, 209, 214, 192)(176, 207, 211, 194, 186, 199)(178, 210, 212, 201, 179, 196)(183, 208, 215, 198, 188, 197)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.929
Graph:: simple bipartite
	v = 36 e = 108 f = 18
	degree seq :: [ 6^36 ]

E28.922 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 6, 6})
Quotient :: edge^2
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1, Y3^3, (R * Y3)^2, R * Y2 * R * Y1, Y1^-2 * Y3 * Y2 * Y1 * Y3^-1, Y1^6, Y2^6, Y3^-1 * Y1 * Y2 * Y3 * Y1^-2, Y2^-1 * Y3 * Y1 * Y2 * Y3^-1 * Y1^-1, Y1^-3 * Y3 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1, Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2, Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 55, 3, 57, 5, 59)(2, 56, 7, 61, 8, 62)(4, 58, 11, 65, 13, 67)(6, 60, 17, 71, 18, 72)(9, 63, 23, 77, 24, 78)(10, 64, 25, 79, 27, 81)(12, 66, 26, 80, 29, 83)(14, 68, 31, 85, 32, 86)(15, 69, 33, 87, 34, 88)(16, 70, 35, 89, 36, 90)(19, 73, 39, 93, 40, 94)(20, 74, 41, 95, 42, 96)(21, 75, 43, 97, 44, 98)(22, 76, 45, 99, 46, 100)(28, 82, 47, 101, 49, 103)(30, 84, 48, 102, 50, 104)(37, 91, 51, 105, 52, 106)(38, 92, 53, 107, 54, 108)(109, 110, 114, 124, 120, 112)(111, 117, 125, 145, 134, 118)(113, 122, 126, 146, 137, 123)(115, 127, 143, 136, 119, 128)(116, 129, 144, 138, 121, 130)(131, 147, 159, 155, 133, 149)(132, 151, 160, 156, 135, 153)(139, 148, 161, 157, 141, 150)(140, 152, 162, 158, 142, 154)(163, 164, 168, 178, 174, 166)(165, 171, 179, 199, 188, 172)(167, 176, 180, 200, 191, 177)(169, 181, 197, 190, 173, 182)(170, 183, 198, 192, 175, 184)(185, 201, 213, 209, 187, 203)(186, 205, 214, 210, 189, 207)(193, 202, 215, 211, 195, 204)(194, 206, 216, 212, 196, 208)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.930
Graph:: simple bipartite
	v = 36 e = 108 f = 18
	degree seq :: [ 6^36 ]

E28.923 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 6, 6})
Quotient :: loop^2
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = C3 x S3 x S3 (small group id <108, 38>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1, Y2^3, Y1^3, (R * Y3)^2, R * Y1 * R * Y2, Y3^-1 * Y1 * Y3^2 * Y1^-1 * Y3^-1, Y3^-1 * Y1 * Y3^2 * Y1^-1 * Y3^-1, Y3^2 * Y1 * Y3^-2 * Y1^-1, Y3^-1 * Y2^-1 * Y3^2 * Y2 * Y3^-1, Y3^6, Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y3 * Y2 * Y3^-1 * Y1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y2 * Y3 * Y1 * Y3^-1 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 55, 109, 163, 4, 58, 112, 166, 12, 66, 120, 174, 32, 86, 140, 194, 15, 69, 123, 177, 5, 59, 113, 167)(2, 56, 110, 164, 6, 60, 114, 168, 18, 72, 126, 180, 39, 93, 147, 201, 21, 75, 129, 183, 7, 61, 115, 169)(3, 57, 111, 165, 8, 62, 116, 170, 24, 78, 132, 186, 46, 100, 154, 208, 27, 81, 135, 189, 9, 63, 117, 171)(10, 64, 118, 172, 28, 82, 136, 190, 49, 103, 157, 211, 33, 87, 141, 195, 13, 67, 121, 175, 29, 83, 137, 191)(11, 65, 119, 173, 30, 84, 138, 192, 50, 104, 158, 212, 34, 88, 142, 196, 14, 68, 122, 176, 31, 85, 139, 193)(16, 70, 124, 178, 35, 89, 143, 197, 51, 105, 159, 213, 40, 94, 148, 202, 19, 73, 127, 181, 36, 90, 144, 198)(17, 71, 125, 179, 37, 91, 145, 199, 52, 106, 160, 214, 41, 95, 149, 203, 20, 74, 128, 182, 38, 92, 146, 200)(22, 76, 130, 184, 42, 96, 150, 204, 53, 107, 161, 215, 47, 101, 155, 209, 25, 79, 133, 187, 43, 97, 151, 205)(23, 77, 131, 185, 44, 98, 152, 206, 54, 108, 162, 216, 48, 102, 156, 210, 26, 80, 134, 188, 45, 99, 153, 207)
	L = (1, 56)(2, 57)(3, 55)(4, 64)(5, 67)(6, 70)(7, 73)(8, 76)(9, 79)(10, 65)(11, 58)(12, 72)(13, 68)(14, 59)(15, 75)(16, 71)(17, 60)(18, 78)(19, 74)(20, 61)(21, 81)(22, 77)(23, 62)(24, 66)(25, 80)(26, 63)(27, 69)(28, 89)(29, 90)(30, 91)(31, 92)(32, 103)(33, 94)(34, 95)(35, 96)(36, 97)(37, 98)(38, 99)(39, 105)(40, 101)(41, 102)(42, 82)(43, 83)(44, 84)(45, 85)(46, 107)(47, 87)(48, 88)(49, 104)(50, 86)(51, 106)(52, 93)(53, 108)(54, 100)(109, 165)(110, 163)(111, 164)(112, 173)(113, 176)(114, 179)(115, 182)(116, 185)(117, 188)(118, 166)(119, 172)(120, 186)(121, 167)(122, 175)(123, 189)(124, 168)(125, 178)(126, 174)(127, 169)(128, 181)(129, 177)(130, 170)(131, 184)(132, 180)(133, 171)(134, 187)(135, 183)(136, 204)(137, 205)(138, 206)(139, 207)(140, 212)(141, 209)(142, 210)(143, 190)(144, 191)(145, 192)(146, 193)(147, 214)(148, 195)(149, 196)(150, 197)(151, 198)(152, 199)(153, 200)(154, 216)(155, 202)(156, 203)(157, 194)(158, 211)(159, 201)(160, 213)(161, 208)(162, 215)
	local type(s) :: { ( 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.915
Transitivity :: VT+
Graph::
	v = 9 e = 108 f = 45
	degree seq :: [ 24^9 ]

E28.924 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 6, 6})
Quotient :: loop^2
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = C3 x S3 x S3 (small group id <108, 38>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, (Y1^-1, Y2^-1), Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1, R * Y1 * R * Y2, (R * Y3)^2, Y2^-1 * Y3^-2 * Y1^-1, Y2^-1 * Y3^2 * Y1^-1 * Y3^2, Y1^-1 * Y3^4 * Y2^-1, Y3^-1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1, Y3^-1 * Y1^-1 * Y3^-1 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y3^-1 * Y1^-1 * Y3 * Y2^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 55, 109, 163, 4, 58, 112, 166, 17, 71, 125, 179, 24, 78, 132, 186, 8, 62, 116, 170, 7, 61, 115, 169)(2, 56, 110, 164, 9, 63, 117, 171, 6, 60, 114, 168, 21, 75, 129, 183, 13, 67, 121, 175, 11, 65, 119, 173)(3, 57, 111, 165, 12, 66, 120, 174, 5, 59, 113, 167, 20, 74, 128, 182, 10, 64, 118, 172, 14, 68, 122, 176)(15, 69, 123, 177, 37, 91, 145, 199, 19, 73, 127, 181, 42, 96, 150, 204, 22, 76, 130, 184, 38, 92, 146, 200)(16, 70, 124, 178, 39, 93, 147, 201, 18, 72, 126, 180, 41, 95, 149, 203, 23, 77, 131, 185, 40, 94, 148, 202)(25, 79, 133, 187, 43, 97, 151, 205, 28, 82, 136, 190, 48, 102, 156, 210, 29, 83, 137, 191, 44, 98, 152, 206)(26, 80, 134, 188, 45, 99, 153, 207, 27, 81, 135, 189, 47, 101, 155, 209, 30, 84, 138, 192, 46, 100, 154, 208)(31, 85, 139, 193, 49, 103, 157, 211, 34, 88, 142, 196, 54, 108, 162, 216, 35, 89, 143, 197, 50, 104, 158, 212)(32, 86, 140, 194, 51, 105, 159, 213, 33, 87, 141, 195, 53, 107, 161, 215, 36, 90, 144, 198, 52, 106, 160, 214)
	L = (1, 56)(2, 59)(3, 62)(4, 69)(5, 55)(6, 64)(7, 76)(8, 67)(9, 79)(10, 71)(11, 83)(12, 85)(13, 57)(14, 89)(15, 72)(16, 61)(17, 60)(18, 58)(19, 77)(20, 88)(21, 82)(22, 70)(23, 78)(24, 73)(25, 81)(26, 65)(27, 63)(28, 84)(29, 80)(30, 75)(31, 87)(32, 68)(33, 66)(34, 90)(35, 86)(36, 74)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 108)(44, 103)(45, 107)(46, 105)(47, 106)(48, 104)(49, 92)(50, 96)(51, 94)(52, 95)(53, 93)(54, 91)(109, 165)(110, 170)(111, 168)(112, 178)(113, 175)(114, 163)(115, 185)(116, 172)(117, 188)(118, 164)(119, 192)(120, 194)(121, 179)(122, 198)(123, 169)(124, 181)(125, 167)(126, 184)(127, 166)(128, 195)(129, 189)(130, 186)(131, 177)(132, 180)(133, 173)(134, 190)(135, 191)(136, 171)(137, 183)(138, 187)(139, 176)(140, 196)(141, 197)(142, 174)(143, 182)(144, 193)(145, 211)(146, 212)(147, 213)(148, 214)(149, 215)(150, 216)(151, 200)(152, 204)(153, 202)(154, 203)(155, 201)(156, 199)(157, 210)(158, 205)(159, 209)(160, 207)(161, 208)(162, 206)
	local type(s) :: { ( 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.916
Transitivity :: VT+
Graph::
	v = 9 e = 108 f = 45
	degree seq :: [ 24^9 ]

E28.925 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 6, 6})
Quotient :: loop^2
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, (R * Y3)^2, R * Y1 * R * Y2, Y3^-1 * Y1 * Y3 * Y2^-1, (Y2, Y1), Y3 * Y1 * Y3^-1 * Y2^-1, Y3^6, Y3^-1 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-2 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 55, 109, 163, 4, 58, 112, 166, 15, 69, 123, 177, 32, 86, 140, 194, 21, 75, 129, 183, 7, 61, 115, 169)(2, 56, 110, 164, 9, 63, 117, 171, 24, 78, 132, 186, 41, 95, 149, 203, 27, 81, 135, 189, 11, 65, 119, 173)(3, 57, 111, 165, 12, 66, 120, 174, 28, 82, 136, 190, 44, 98, 152, 206, 31, 85, 139, 193, 14, 68, 122, 176)(5, 59, 113, 167, 17, 71, 125, 179, 33, 87, 141, 195, 48, 102, 156, 210, 37, 91, 145, 199, 19, 73, 127, 181)(6, 60, 114, 168, 16, 70, 124, 178, 34, 88, 142, 196, 47, 101, 155, 209, 38, 92, 146, 200, 20, 74, 128, 182)(8, 62, 116, 170, 22, 76, 130, 184, 39, 93, 147, 201, 51, 105, 159, 213, 40, 94, 148, 202, 23, 77, 131, 185)(10, 64, 118, 172, 25, 79, 133, 187, 42, 96, 150, 204, 52, 106, 160, 214, 43, 97, 151, 205, 26, 80, 134, 188)(13, 67, 121, 175, 29, 83, 137, 191, 45, 99, 153, 207, 53, 107, 161, 215, 46, 100, 154, 208, 30, 84, 138, 192)(18, 72, 126, 180, 35, 89, 143, 197, 49, 103, 157, 211, 54, 108, 162, 216, 50, 104, 158, 212, 36, 90, 144, 198)
	L = (1, 56)(2, 59)(3, 62)(4, 66)(5, 55)(6, 64)(7, 68)(8, 67)(9, 76)(10, 72)(11, 77)(12, 70)(13, 57)(14, 74)(15, 78)(16, 58)(17, 83)(18, 60)(19, 84)(20, 61)(21, 81)(22, 79)(23, 80)(24, 87)(25, 63)(26, 65)(27, 91)(28, 93)(29, 89)(30, 90)(31, 94)(32, 98)(33, 69)(34, 96)(35, 71)(36, 73)(37, 75)(38, 97)(39, 99)(40, 100)(41, 105)(42, 103)(43, 104)(44, 101)(45, 82)(46, 85)(47, 86)(48, 107)(49, 88)(50, 92)(51, 106)(52, 95)(53, 108)(54, 102)(109, 165)(110, 170)(111, 168)(112, 171)(113, 175)(114, 163)(115, 173)(116, 172)(117, 179)(118, 164)(119, 181)(120, 184)(121, 180)(122, 185)(123, 190)(124, 187)(125, 166)(126, 167)(127, 169)(128, 188)(129, 193)(130, 191)(131, 192)(132, 201)(133, 197)(134, 198)(135, 202)(136, 196)(137, 174)(138, 176)(139, 200)(140, 203)(141, 207)(142, 177)(143, 178)(144, 182)(145, 208)(146, 183)(147, 204)(148, 205)(149, 210)(150, 186)(151, 189)(152, 213)(153, 211)(154, 212)(155, 214)(156, 194)(157, 195)(158, 199)(159, 215)(160, 216)(161, 206)(162, 209)
	local type(s) :: { ( 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.917
Transitivity :: VT+
Graph::
	v = 9 e = 108 f = 45
	degree seq :: [ 24^9 ]

E28.926 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 6, 6})
Quotient :: loop^2
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = C3 x S3 x S3 (small group id <108, 38>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^-1 * Y3 * Y1 * Y3, (Y1, Y2^-1), (R * Y3)^2, R * Y2 * R * Y1, Y3 * Y2 * Y3 * Y2^-1, Y1^3 * Y2^3, Y2^6, Y1^6, Y2^-1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y1^-1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 55, 109, 163, 4, 58, 112, 166, 7, 61, 115, 169)(2, 56, 110, 164, 10, 64, 118, 172, 12, 66, 120, 174)(3, 57, 111, 165, 14, 68, 122, 176, 16, 70, 124, 178)(5, 59, 113, 167, 19, 73, 127, 181, 17, 71, 125, 179)(6, 60, 114, 168, 22, 76, 130, 184, 18, 72, 126, 180)(8, 62, 116, 170, 26, 80, 134, 188, 28, 82, 136, 190)(9, 63, 117, 171, 30, 84, 138, 192, 31, 85, 139, 193)(11, 65, 119, 173, 33, 87, 141, 195, 32, 86, 140, 194)(13, 67, 121, 175, 35, 89, 143, 197, 36, 90, 144, 198)(15, 69, 123, 177, 38, 92, 146, 200, 37, 91, 145, 199)(20, 74, 128, 182, 39, 93, 147, 201, 42, 96, 150, 204)(21, 75, 129, 183, 40, 94, 148, 202, 43, 97, 151, 205)(23, 77, 131, 185, 41, 95, 149, 203, 44, 98, 152, 206)(24, 78, 132, 186, 45, 99, 153, 207, 46, 100, 154, 208)(25, 79, 133, 187, 47, 101, 155, 209, 48, 102, 156, 210)(27, 81, 135, 189, 50, 104, 158, 212, 49, 103, 157, 211)(29, 83, 137, 191, 51, 105, 159, 213, 52, 106, 160, 214)(34, 88, 142, 196, 53, 107, 161, 215, 54, 108, 162, 216)
	L = (1, 56)(2, 62)(3, 63)(4, 66)(5, 55)(6, 65)(7, 64)(8, 78)(9, 79)(10, 82)(11, 81)(12, 80)(13, 83)(14, 85)(15, 57)(16, 84)(17, 58)(18, 87)(19, 61)(20, 59)(21, 60)(22, 86)(23, 88)(24, 74)(25, 77)(26, 100)(27, 67)(28, 99)(29, 75)(30, 102)(31, 101)(32, 104)(33, 103)(34, 69)(35, 106)(36, 105)(37, 68)(38, 70)(39, 71)(40, 72)(41, 108)(42, 73)(43, 76)(44, 107)(45, 96)(46, 93)(47, 98)(48, 95)(49, 89)(50, 90)(51, 97)(52, 94)(53, 91)(54, 92)(109, 165)(110, 171)(111, 175)(112, 178)(113, 177)(114, 163)(115, 176)(116, 187)(117, 191)(118, 193)(119, 164)(120, 192)(121, 186)(122, 198)(123, 189)(124, 197)(125, 200)(126, 166)(127, 199)(128, 196)(129, 167)(130, 169)(131, 168)(132, 185)(133, 183)(134, 210)(135, 170)(136, 209)(137, 182)(138, 214)(139, 213)(140, 172)(141, 174)(142, 173)(143, 208)(144, 207)(145, 212)(146, 211)(147, 216)(148, 179)(149, 180)(150, 215)(151, 181)(152, 184)(153, 206)(154, 203)(155, 205)(156, 202)(157, 188)(158, 190)(159, 204)(160, 201)(161, 194)(162, 195)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E28.920
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 12^18 ]

E28.927 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 6, 6})
Quotient :: loop^2
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = C3 x S3 x S3 (small group id <108, 38>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2, Y3^3, R * Y1 * R * Y2, (R * Y3)^2, Y2^6, Y1 * Y3^-1 * Y2^2 * Y3 * Y1, Y1^6, Y2 * Y3^-1 * Y2^-1 * Y1 * Y3 * Y1^-1, Y3^-1 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y2^-1, Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 55, 109, 163, 4, 58, 112, 166, 5, 59, 113, 167)(2, 56, 110, 164, 7, 61, 115, 169, 8, 62, 116, 170)(3, 57, 111, 165, 10, 64, 118, 172, 11, 65, 119, 173)(6, 60, 114, 168, 17, 71, 125, 179, 18, 72, 126, 180)(9, 63, 117, 171, 23, 77, 131, 185, 24, 78, 132, 186)(12, 66, 120, 174, 27, 81, 135, 189, 28, 82, 136, 190)(13, 67, 121, 175, 29, 83, 137, 191, 30, 84, 138, 192)(14, 68, 122, 176, 31, 85, 139, 193, 32, 86, 140, 194)(15, 69, 123, 177, 33, 87, 141, 195, 34, 88, 142, 196)(16, 70, 124, 178, 35, 89, 143, 197, 36, 90, 144, 198)(19, 73, 127, 181, 39, 93, 147, 201, 40, 94, 148, 202)(20, 74, 128, 182, 41, 95, 149, 203, 42, 96, 150, 204)(21, 75, 129, 183, 43, 97, 151, 205, 44, 98, 152, 206)(22, 76, 130, 184, 45, 99, 153, 207, 46, 100, 154, 208)(25, 79, 133, 187, 47, 101, 155, 209, 48, 102, 156, 210)(26, 80, 134, 188, 49, 103, 157, 211, 50, 104, 158, 212)(37, 91, 145, 199, 51, 105, 159, 213, 52, 106, 160, 214)(38, 92, 146, 200, 53, 107, 161, 215, 54, 108, 162, 216)
	L = (1, 56)(2, 60)(3, 55)(4, 66)(5, 68)(6, 70)(7, 73)(8, 75)(9, 57)(10, 74)(11, 76)(12, 71)(13, 58)(14, 72)(15, 59)(16, 63)(17, 91)(18, 92)(19, 89)(20, 61)(21, 90)(22, 62)(23, 67)(24, 69)(25, 64)(26, 65)(27, 93)(28, 97)(29, 95)(30, 99)(31, 94)(32, 98)(33, 96)(34, 100)(35, 79)(36, 80)(37, 77)(38, 78)(39, 105)(40, 107)(41, 81)(42, 85)(43, 106)(44, 108)(45, 82)(46, 86)(47, 83)(48, 87)(49, 84)(50, 88)(51, 101)(52, 103)(53, 102)(54, 104)(109, 165)(110, 163)(111, 171)(112, 175)(113, 177)(114, 164)(115, 182)(116, 184)(117, 178)(118, 187)(119, 188)(120, 166)(121, 185)(122, 167)(123, 186)(124, 168)(125, 174)(126, 176)(127, 169)(128, 172)(129, 170)(130, 173)(131, 199)(132, 200)(133, 197)(134, 198)(135, 203)(136, 207)(137, 209)(138, 211)(139, 204)(140, 208)(141, 210)(142, 212)(143, 181)(144, 183)(145, 179)(146, 180)(147, 189)(148, 193)(149, 191)(150, 195)(151, 190)(152, 194)(153, 192)(154, 196)(155, 213)(156, 215)(157, 214)(158, 216)(159, 201)(160, 205)(161, 202)(162, 206)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E28.919
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 12^18 ]

E28.928 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 6, 6})
Quotient :: loop^2
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = C3 x S3 x S3 (small group id <108, 38>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y1, Y2), Y1^-1 * Y3 * Y2^-1 * Y3, (R * Y3)^2, R * Y1 * R * Y2, Y1^6, Y1^3 * Y2^3, Y3 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1, Y3 * Y2 * Y1 * Y3^-1 * Y1^-1 * Y2^-1, Y2^6, Y3 * Y1 * Y2 * Y1 * Y3 * Y2, Y2 * Y3 * Y2^-2 * Y3^-1 * Y2, Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 55, 109, 163, 4, 58, 112, 166, 7, 61, 115, 169)(2, 56, 110, 164, 10, 64, 118, 172, 12, 66, 120, 174)(3, 57, 111, 165, 14, 68, 122, 176, 16, 70, 124, 178)(5, 59, 113, 167, 19, 73, 127, 181, 22, 76, 130, 184)(6, 60, 114, 168, 23, 77, 131, 185, 25, 79, 133, 187)(8, 62, 116, 170, 30, 84, 138, 192, 32, 86, 140, 194)(9, 63, 117, 171, 34, 88, 142, 196, 35, 89, 143, 197)(11, 65, 119, 173, 38, 92, 146, 200, 40, 94, 148, 202)(13, 67, 121, 175, 43, 97, 151, 205, 44, 98, 152, 206)(15, 69, 123, 177, 46, 100, 154, 208, 47, 101, 155, 209)(17, 71, 125, 179, 29, 83, 137, 191, 27, 81, 135, 189)(18, 72, 126, 180, 33, 87, 141, 195, 26, 80, 134, 188)(20, 74, 128, 182, 48, 102, 156, 210, 45, 99, 153, 207)(21, 75, 129, 183, 41, 95, 149, 203, 37, 91, 145, 199)(24, 78, 132, 186, 42, 96, 150, 204, 36, 90, 144, 198)(28, 82, 136, 190, 49, 103, 157, 211, 50, 104, 158, 212)(31, 85, 139, 193, 52, 106, 160, 214, 53, 107, 161, 215)(39, 93, 147, 201, 54, 108, 162, 216, 51, 105, 159, 213)
	L = (1, 56)(2, 62)(3, 63)(4, 71)(5, 55)(6, 65)(7, 77)(8, 82)(9, 83)(10, 90)(11, 85)(12, 92)(13, 87)(14, 91)(15, 57)(16, 58)(17, 84)(18, 88)(19, 89)(20, 59)(21, 60)(22, 95)(23, 86)(24, 93)(25, 96)(26, 61)(27, 94)(28, 74)(29, 78)(30, 105)(31, 67)(32, 106)(33, 75)(34, 79)(35, 64)(36, 103)(37, 81)(38, 104)(39, 69)(40, 108)(41, 66)(42, 107)(43, 76)(44, 68)(45, 80)(46, 72)(47, 73)(48, 70)(49, 101)(50, 97)(51, 102)(52, 99)(53, 100)(54, 98)(109, 165)(110, 171)(111, 175)(112, 180)(113, 177)(114, 163)(115, 181)(116, 191)(117, 195)(118, 199)(119, 164)(120, 166)(121, 190)(122, 207)(123, 193)(124, 208)(125, 196)(126, 205)(127, 206)(128, 201)(129, 167)(130, 210)(131, 197)(132, 168)(133, 203)(134, 209)(135, 169)(136, 186)(137, 183)(138, 187)(139, 170)(140, 172)(141, 182)(142, 184)(143, 176)(144, 189)(145, 188)(146, 179)(147, 173)(148, 185)(149, 178)(150, 174)(151, 213)(152, 214)(153, 211)(154, 212)(155, 216)(156, 215)(157, 202)(158, 192)(159, 204)(160, 198)(161, 200)(162, 194)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E28.918
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 12^18 ]

E28.929 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 6, 6})
Quotient :: loop^2
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = C3 x S3 x S3 (small group id <108, 38>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y1^-1, Y2), Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1, R * Y1 * R * Y2, (R * Y3)^2, Y1^3 * Y2^3, Y1^6, Y3 * Y1^-1 * Y2 * Y3^-1 * Y1 * Y2^-1, Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y1^-1 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1, Y1^-1 * Y2^-1 * Y3^-1 * Y2 * Y1 * Y3, Y1 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y1, Y2^6 ]
Map:: non-degenerate
	R = (1, 55, 109, 163, 4, 58, 112, 166, 7, 61, 115, 169)(2, 56, 110, 164, 10, 64, 118, 172, 12, 66, 120, 174)(3, 57, 111, 165, 14, 68, 122, 176, 16, 70, 124, 178)(5, 59, 113, 167, 21, 75, 129, 183, 18, 72, 126, 180)(6, 60, 114, 168, 24, 78, 132, 186, 17, 71, 125, 179)(8, 62, 116, 170, 30, 84, 138, 192, 32, 86, 140, 194)(9, 63, 117, 171, 34, 88, 142, 196, 35, 89, 143, 197)(11, 65, 119, 173, 39, 93, 147, 201, 36, 90, 144, 198)(13, 67, 121, 175, 43, 97, 151, 205, 44, 98, 152, 206)(15, 69, 123, 177, 47, 101, 155, 209, 45, 99, 153, 207)(19, 73, 127, 181, 33, 87, 141, 195, 27, 81, 135, 189)(20, 74, 128, 182, 29, 83, 137, 191, 26, 80, 134, 188)(22, 76, 130, 184, 48, 102, 156, 210, 46, 100, 154, 208)(23, 77, 131, 185, 42, 96, 150, 204, 37, 91, 145, 199)(25, 79, 133, 187, 41, 95, 149, 203, 38, 92, 146, 200)(28, 82, 136, 190, 49, 103, 157, 211, 50, 104, 158, 212)(31, 85, 139, 193, 53, 107, 161, 215, 51, 105, 159, 213)(40, 94, 148, 202, 54, 108, 162, 216, 52, 106, 160, 214)
	L = (1, 56)(2, 62)(3, 63)(4, 71)(5, 55)(6, 65)(7, 80)(8, 82)(9, 83)(10, 90)(11, 85)(12, 95)(13, 87)(14, 61)(15, 57)(16, 96)(17, 84)(18, 88)(19, 58)(20, 93)(21, 91)(22, 59)(23, 60)(24, 92)(25, 94)(26, 86)(27, 89)(28, 76)(29, 79)(30, 105)(31, 67)(32, 108)(33, 77)(34, 66)(35, 78)(36, 103)(37, 64)(38, 107)(39, 106)(40, 69)(41, 104)(42, 74)(43, 70)(44, 75)(45, 81)(46, 68)(47, 72)(48, 73)(49, 98)(50, 101)(51, 102)(52, 97)(53, 99)(54, 100)(109, 165)(110, 171)(111, 175)(112, 180)(113, 177)(114, 163)(115, 189)(116, 191)(117, 195)(118, 169)(119, 164)(120, 204)(121, 190)(122, 207)(123, 193)(124, 210)(125, 196)(126, 205)(127, 209)(128, 166)(129, 208)(130, 202)(131, 167)(132, 199)(133, 168)(134, 197)(135, 206)(136, 187)(137, 185)(138, 174)(139, 170)(140, 186)(141, 184)(142, 178)(143, 183)(144, 188)(145, 176)(146, 172)(147, 179)(148, 173)(149, 182)(150, 181)(151, 213)(152, 216)(153, 211)(154, 215)(155, 214)(156, 212)(157, 194)(158, 201)(159, 203)(160, 192)(161, 198)(162, 200)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E28.921
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 12^18 ]

E28.930 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 6, 6})
Quotient :: loop^2
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1, Y3^3, (R * Y3)^2, R * Y2 * R * Y1, Y1^-2 * Y3 * Y2 * Y1 * Y3^-1, Y1^6, Y2^6, Y3^-1 * Y1 * Y2 * Y3 * Y1^-2, Y2^-1 * Y3 * Y1 * Y2 * Y3^-1 * Y1^-1, Y1^-3 * Y3 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1, Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2, Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 55, 109, 163, 3, 57, 111, 165, 5, 59, 113, 167)(2, 56, 110, 164, 7, 61, 115, 169, 8, 62, 116, 170)(4, 58, 112, 166, 11, 65, 119, 173, 13, 67, 121, 175)(6, 60, 114, 168, 17, 71, 125, 179, 18, 72, 126, 180)(9, 63, 117, 171, 23, 77, 131, 185, 24, 78, 132, 186)(10, 64, 118, 172, 25, 79, 133, 187, 27, 81, 135, 189)(12, 66, 120, 174, 26, 80, 134, 188, 29, 83, 137, 191)(14, 68, 122, 176, 31, 85, 139, 193, 32, 86, 140, 194)(15, 69, 123, 177, 33, 87, 141, 195, 34, 88, 142, 196)(16, 70, 124, 178, 35, 89, 143, 197, 36, 90, 144, 198)(19, 73, 127, 181, 39, 93, 147, 201, 40, 94, 148, 202)(20, 74, 128, 182, 41, 95, 149, 203, 42, 96, 150, 204)(21, 75, 129, 183, 43, 97, 151, 205, 44, 98, 152, 206)(22, 76, 130, 184, 45, 99, 153, 207, 46, 100, 154, 208)(28, 82, 136, 190, 47, 101, 155, 209, 49, 103, 157, 211)(30, 84, 138, 192, 48, 102, 156, 210, 50, 104, 158, 212)(37, 91, 145, 199, 51, 105, 159, 213, 52, 106, 160, 214)(38, 92, 146, 200, 53, 107, 161, 215, 54, 108, 162, 216)
	L = (1, 56)(2, 60)(3, 63)(4, 55)(5, 68)(6, 70)(7, 73)(8, 75)(9, 71)(10, 57)(11, 74)(12, 58)(13, 76)(14, 72)(15, 59)(16, 66)(17, 91)(18, 92)(19, 89)(20, 61)(21, 90)(22, 62)(23, 93)(24, 97)(25, 95)(26, 64)(27, 99)(28, 65)(29, 69)(30, 67)(31, 94)(32, 98)(33, 96)(34, 100)(35, 82)(36, 84)(37, 80)(38, 83)(39, 105)(40, 107)(41, 77)(42, 85)(43, 106)(44, 108)(45, 78)(46, 86)(47, 79)(48, 81)(49, 87)(50, 88)(51, 101)(52, 102)(53, 103)(54, 104)(109, 164)(110, 168)(111, 171)(112, 163)(113, 176)(114, 178)(115, 181)(116, 183)(117, 179)(118, 165)(119, 182)(120, 166)(121, 184)(122, 180)(123, 167)(124, 174)(125, 199)(126, 200)(127, 197)(128, 169)(129, 198)(130, 170)(131, 201)(132, 205)(133, 203)(134, 172)(135, 207)(136, 173)(137, 177)(138, 175)(139, 202)(140, 206)(141, 204)(142, 208)(143, 190)(144, 192)(145, 188)(146, 191)(147, 213)(148, 215)(149, 185)(150, 193)(151, 214)(152, 216)(153, 186)(154, 194)(155, 187)(156, 189)(157, 195)(158, 196)(159, 209)(160, 210)(161, 211)(162, 212)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E28.922
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 12^18 ]

E28.931 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, (R * Y2^-1)^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 7, 61, 11, 65)(4, 58, 12, 66, 13, 67)(6, 60, 9, 63, 16, 70)(8, 62, 18, 72, 19, 73)(10, 64, 21, 75, 22, 76)(14, 68, 25, 79, 27, 81)(15, 69, 28, 82, 29, 83)(17, 71, 31, 85, 32, 86)(20, 74, 34, 88, 36, 90)(23, 77, 39, 93, 40, 94)(24, 78, 33, 87, 41, 95)(26, 80, 35, 89, 43, 97)(30, 84, 45, 99, 46, 100)(37, 91, 47, 101, 51, 105)(38, 92, 48, 102, 52, 106)(42, 96, 49, 103, 53, 107)(44, 98, 50, 104, 54, 108)(109, 163, 111, 165, 114, 168)(110, 164, 115, 169, 117, 171)(112, 166, 118, 172, 122, 176)(113, 167, 119, 173, 124, 178)(116, 170, 125, 179, 128, 182)(120, 174, 129, 183, 133, 187)(121, 175, 130, 184, 135, 189)(123, 177, 131, 185, 138, 192)(126, 180, 139, 193, 142, 196)(127, 181, 140, 194, 144, 198)(132, 186, 145, 199, 150, 204)(134, 188, 146, 200, 152, 206)(136, 190, 147, 201, 153, 207)(137, 191, 148, 202, 154, 208)(141, 195, 155, 209, 157, 211)(143, 197, 156, 210, 158, 212)(149, 203, 159, 213, 161, 215)(151, 205, 160, 214, 162, 216)
	L = (1, 112)(2, 116)(3, 118)(4, 109)(5, 123)(6, 122)(7, 125)(8, 110)(9, 128)(10, 111)(11, 131)(12, 132)(13, 134)(14, 114)(15, 113)(16, 138)(17, 115)(18, 141)(19, 143)(20, 117)(21, 145)(22, 146)(23, 119)(24, 120)(25, 150)(26, 121)(27, 152)(28, 149)(29, 151)(30, 124)(31, 155)(32, 156)(33, 126)(34, 157)(35, 127)(36, 158)(37, 129)(38, 130)(39, 159)(40, 160)(41, 136)(42, 133)(43, 137)(44, 135)(45, 161)(46, 162)(47, 139)(48, 140)(49, 142)(50, 144)(51, 147)(52, 148)(53, 153)(54, 154)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.982
Graph:: simple bipartite
	v = 36 e = 108 f = 18
	degree seq :: [ 6^36 ]

E28.932 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y2^-1 * Y3^2, Y1^3, (Y1^-1, Y2), (Y2 * Y3)^2, (Y3 * R)^2, (R * Y2)^2, (R * Y1)^2, Y1 * Y3 * Y2 * Y3 * Y1^-1 * Y2, Y1^-1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 8, 62, 13, 67)(4, 58, 14, 68, 15, 69)(6, 60, 10, 64, 17, 71)(7, 61, 19, 73, 20, 74)(9, 63, 22, 76, 23, 77)(11, 65, 24, 78, 25, 79)(12, 66, 26, 80, 27, 81)(16, 70, 33, 87, 34, 88)(18, 72, 35, 89, 36, 90)(21, 75, 39, 93, 40, 94)(28, 82, 47, 101, 48, 102)(29, 83, 41, 95, 49, 103)(30, 84, 42, 96, 50, 104)(31, 85, 43, 97, 51, 105)(32, 86, 44, 98, 52, 106)(37, 91, 45, 99, 53, 107)(38, 92, 46, 100, 54, 108)(109, 163, 111, 165, 114, 168)(110, 164, 116, 170, 118, 172)(112, 166, 120, 174, 115, 169)(113, 167, 121, 175, 125, 179)(117, 171, 129, 183, 119, 173)(122, 176, 134, 188, 127, 181)(123, 177, 135, 189, 128, 182)(124, 178, 136, 190, 126, 180)(130, 184, 147, 201, 132, 186)(131, 185, 148, 202, 133, 187)(137, 191, 145, 199, 138, 192)(139, 193, 146, 200, 140, 194)(141, 195, 155, 209, 143, 197)(142, 196, 156, 210, 144, 198)(149, 203, 153, 207, 150, 204)(151, 205, 154, 208, 152, 206)(157, 211, 161, 215, 158, 212)(159, 213, 162, 216, 160, 214)
	L = (1, 112)(2, 117)(3, 120)(4, 111)(5, 124)(6, 115)(7, 109)(8, 129)(9, 116)(10, 119)(11, 110)(12, 114)(13, 136)(14, 137)(15, 139)(16, 121)(17, 126)(18, 113)(19, 138)(20, 140)(21, 118)(22, 149)(23, 151)(24, 150)(25, 152)(26, 145)(27, 146)(28, 125)(29, 134)(30, 122)(31, 135)(32, 123)(33, 157)(34, 159)(35, 158)(36, 160)(37, 127)(38, 128)(39, 153)(40, 154)(41, 147)(42, 130)(43, 148)(44, 131)(45, 132)(46, 133)(47, 161)(48, 162)(49, 155)(50, 141)(51, 156)(52, 142)(53, 143)(54, 144)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.983
Graph:: simple bipartite
	v = 36 e = 108 f = 18
	degree seq :: [ 6^36 ]

E28.933 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3, (Y3^-1 * Y1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y1)^2, (Y3, Y2^-1), (R * Y2^-1)^2, Y3^6, Y1^-1 * Y3^-3 * Y1^-1 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 8, 62, 13, 67)(4, 58, 15, 69, 11, 65)(6, 60, 10, 64, 19, 73)(7, 61, 18, 72, 22, 76)(9, 63, 26, 80, 20, 74)(12, 66, 31, 85, 25, 79)(14, 68, 33, 87, 35, 89)(16, 70, 27, 81, 39, 93)(17, 71, 38, 92, 29, 83)(21, 75, 41, 95, 43, 97)(23, 77, 30, 84, 37, 91)(24, 78, 45, 99, 34, 88)(28, 82, 48, 102, 42, 96)(32, 86, 46, 100, 52, 106)(36, 90, 47, 101, 51, 105)(40, 94, 49, 103, 54, 108)(44, 98, 50, 104, 53, 107)(109, 163, 111, 165, 114, 168)(110, 164, 116, 170, 118, 172)(112, 166, 120, 174, 125, 179)(113, 167, 121, 175, 127, 181)(115, 169, 122, 176, 129, 183)(117, 171, 132, 186, 136, 190)(119, 173, 133, 187, 137, 191)(123, 177, 139, 193, 146, 200)(124, 178, 140, 194, 148, 202)(126, 180, 141, 195, 149, 203)(128, 182, 142, 196, 150, 204)(130, 184, 143, 197, 151, 205)(131, 185, 144, 198, 152, 206)(134, 188, 153, 207, 156, 210)(135, 189, 154, 208, 157, 211)(138, 192, 155, 209, 158, 212)(145, 199, 159, 213, 161, 215)(147, 201, 160, 214, 162, 216)
	L = (1, 112)(2, 117)(3, 120)(4, 124)(5, 126)(6, 125)(7, 109)(8, 132)(9, 135)(10, 136)(11, 110)(12, 140)(13, 141)(14, 111)(15, 145)(16, 134)(17, 148)(18, 147)(19, 149)(20, 113)(21, 114)(22, 138)(23, 115)(24, 154)(25, 116)(26, 131)(27, 130)(28, 157)(29, 118)(30, 119)(31, 159)(32, 153)(33, 160)(34, 121)(35, 155)(36, 122)(37, 128)(38, 161)(39, 123)(40, 156)(41, 162)(42, 127)(43, 158)(44, 129)(45, 144)(46, 143)(47, 133)(48, 152)(49, 151)(50, 137)(51, 142)(52, 139)(53, 150)(54, 146)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.984
Graph:: simple bipartite
	v = 36 e = 108 f = 18
	degree seq :: [ 6^36 ]

E28.934 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^2 * Y1 * Y2^-2 * Y1^-1, Y2^6, (Y3^-1 * Y1^-1)^3, Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y1, Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1^-1, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 55, 2, 56, 4, 58)(3, 57, 8, 62, 10, 64)(5, 59, 13, 67, 14, 68)(6, 60, 16, 70, 18, 72)(7, 61, 19, 73, 20, 74)(9, 63, 17, 71, 25, 79)(11, 65, 28, 82, 29, 83)(12, 66, 30, 84, 31, 85)(15, 69, 21, 75, 32, 86)(22, 76, 35, 89, 43, 97)(23, 77, 36, 90, 44, 98)(24, 78, 42, 96, 45, 99)(26, 80, 38, 92, 47, 101)(27, 81, 39, 93, 48, 102)(33, 87, 40, 94, 49, 103)(34, 88, 41, 95, 50, 104)(37, 91, 51, 105, 52, 106)(46, 100, 53, 107, 54, 108)(109, 163, 111, 165, 117, 171, 132, 186, 123, 177, 113, 167)(110, 164, 114, 168, 125, 179, 145, 199, 129, 183, 115, 169)(112, 166, 119, 173, 133, 187, 154, 208, 140, 194, 120, 174)(116, 170, 130, 184, 150, 204, 141, 195, 121, 175, 131, 185)(118, 172, 134, 188, 153, 207, 142, 196, 122, 176, 135, 189)(124, 178, 143, 197, 159, 213, 148, 202, 127, 181, 144, 198)(126, 180, 146, 200, 160, 214, 149, 203, 128, 182, 147, 201)(136, 190, 151, 205, 161, 215, 157, 211, 138, 192, 152, 206)(137, 191, 155, 209, 162, 216, 158, 212, 139, 193, 156, 210)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.935 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3, Y1^3, Y3^3, (Y3^-1, Y1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y2 * Y3)^2, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 14, 68)(4, 58, 9, 63, 15, 69)(6, 60, 19, 73, 20, 74)(7, 61, 11, 65, 18, 72)(8, 62, 21, 75, 23, 77)(10, 64, 24, 78, 25, 79)(13, 67, 27, 81, 29, 83)(16, 70, 33, 87, 34, 88)(17, 71, 35, 89, 36, 90)(22, 76, 40, 94, 42, 96)(26, 80, 39, 93, 47, 101)(28, 82, 41, 95, 48, 102)(30, 84, 43, 97, 49, 103)(31, 85, 44, 98, 50, 104)(32, 86, 51, 105, 52, 106)(37, 91, 45, 99, 53, 107)(38, 92, 46, 100, 54, 108)(109, 163, 111, 165, 112, 166, 121, 175, 115, 169, 114, 168)(110, 164, 116, 170, 117, 171, 130, 184, 119, 173, 118, 172)(113, 167, 124, 178, 123, 177, 140, 194, 126, 180, 125, 179)(120, 174, 134, 188, 135, 189, 145, 199, 127, 181, 136, 190)(122, 176, 138, 192, 137, 191, 146, 200, 128, 182, 139, 193)(129, 183, 147, 201, 148, 202, 153, 207, 132, 186, 149, 203)(131, 185, 151, 205, 150, 204, 154, 208, 133, 187, 152, 206)(141, 195, 155, 209, 159, 213, 161, 215, 143, 197, 156, 210)(142, 196, 157, 211, 160, 214, 162, 216, 144, 198, 158, 212)
	L = (1, 112)(2, 117)(3, 121)(4, 115)(5, 123)(6, 111)(7, 109)(8, 130)(9, 119)(10, 116)(11, 110)(12, 135)(13, 114)(14, 137)(15, 126)(16, 140)(17, 124)(18, 113)(19, 120)(20, 122)(21, 148)(22, 118)(23, 150)(24, 129)(25, 131)(26, 145)(27, 127)(28, 134)(29, 128)(30, 146)(31, 138)(32, 125)(33, 159)(34, 160)(35, 141)(36, 142)(37, 136)(38, 139)(39, 153)(40, 132)(41, 147)(42, 133)(43, 154)(44, 151)(45, 149)(46, 152)(47, 161)(48, 155)(49, 162)(50, 157)(51, 143)(52, 144)(53, 156)(54, 158)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.936 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, (R * Y2)^2, (R * Y1)^2, (Y3^-1, Y2), (R * Y3)^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, (Y3^-1, Y1^-1), Y2^6 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 8, 62)(4, 58, 9, 63, 16, 70)(6, 60, 18, 72, 10, 64)(7, 61, 11, 65, 19, 73)(13, 67, 22, 76, 28, 82)(14, 68, 29, 83, 23, 77)(15, 69, 30, 84, 24, 78)(17, 71, 34, 88, 25, 79)(20, 74, 26, 80, 36, 90)(21, 75, 37, 91, 27, 81)(31, 85, 44, 98, 39, 93)(32, 86, 40, 94, 45, 99)(33, 87, 41, 95, 46, 100)(35, 89, 42, 96, 49, 103)(38, 92, 43, 97, 50, 104)(47, 101, 53, 107, 51, 105)(48, 102, 54, 108, 52, 106)(109, 163, 111, 165, 121, 175, 139, 193, 128, 182, 114, 168)(110, 164, 116, 170, 130, 184, 147, 201, 134, 188, 118, 172)(112, 166, 122, 176, 140, 194, 155, 209, 143, 197, 125, 179)(113, 167, 120, 174, 136, 190, 152, 206, 144, 198, 126, 180)(115, 169, 123, 177, 141, 195, 156, 210, 146, 200, 129, 183)(117, 171, 131, 185, 148, 202, 159, 213, 150, 204, 133, 187)(119, 173, 132, 186, 149, 203, 160, 214, 151, 205, 135, 189)(124, 178, 137, 191, 153, 207, 161, 215, 157, 211, 142, 196)(127, 181, 138, 192, 154, 208, 162, 216, 158, 212, 145, 199)
	L = (1, 112)(2, 117)(3, 122)(4, 115)(5, 124)(6, 125)(7, 109)(8, 131)(9, 119)(10, 133)(11, 110)(12, 137)(13, 140)(14, 123)(15, 111)(16, 127)(17, 129)(18, 142)(19, 113)(20, 143)(21, 114)(22, 148)(23, 132)(24, 116)(25, 135)(26, 150)(27, 118)(28, 153)(29, 138)(30, 120)(31, 155)(32, 141)(33, 121)(34, 145)(35, 146)(36, 157)(37, 126)(38, 128)(39, 159)(40, 149)(41, 130)(42, 151)(43, 134)(44, 161)(45, 154)(46, 136)(47, 156)(48, 139)(49, 158)(50, 144)(51, 160)(52, 147)(53, 162)(54, 152)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.940
Graph:: simple bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.937 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, (Y1^-1 * Y2)^2, (Y3^-1, Y1^-1), (Y2 * Y1^-1)^2, (Y3^-1, Y2), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^-2 * Y1^-1 * Y2^2 * Y1, Y2^-6, Y2^-1 * Y1^-1 * Y2^-3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 10, 64)(4, 58, 9, 63, 16, 70)(6, 60, 18, 72, 21, 75)(7, 61, 11, 65, 20, 74)(8, 62, 24, 78, 19, 73)(13, 67, 25, 79, 33, 87)(14, 68, 32, 86, 28, 82)(15, 69, 34, 88, 30, 84)(17, 71, 37, 91, 39, 93)(22, 76, 29, 83, 31, 85)(23, 77, 41, 95, 43, 97)(26, 80, 45, 99, 38, 92)(27, 81, 46, 100, 42, 96)(35, 89, 47, 101, 53, 107)(36, 90, 48, 102, 54, 108)(40, 94, 49, 103, 51, 105)(44, 98, 50, 104, 52, 106)(109, 163, 111, 165, 121, 175, 132, 186, 130, 184, 114, 168)(110, 164, 116, 170, 133, 187, 129, 183, 137, 191, 118, 172)(112, 166, 122, 176, 143, 197, 153, 207, 148, 202, 125, 179)(113, 167, 126, 180, 141, 195, 120, 174, 139, 193, 127, 181)(115, 169, 123, 177, 144, 198, 154, 208, 152, 206, 131, 185)(117, 171, 134, 188, 155, 209, 147, 201, 157, 211, 136, 190)(119, 173, 135, 189, 156, 210, 151, 205, 158, 212, 138, 192)(124, 178, 145, 199, 161, 215, 140, 194, 159, 213, 146, 200)(128, 182, 149, 203, 162, 216, 142, 196, 160, 214, 150, 204)
	L = (1, 112)(2, 117)(3, 122)(4, 115)(5, 124)(6, 125)(7, 109)(8, 134)(9, 119)(10, 136)(11, 110)(12, 140)(13, 143)(14, 123)(15, 111)(16, 128)(17, 131)(18, 145)(19, 146)(20, 113)(21, 147)(22, 148)(23, 114)(24, 153)(25, 155)(26, 135)(27, 116)(28, 138)(29, 157)(30, 118)(31, 159)(32, 142)(33, 161)(34, 120)(35, 144)(36, 121)(37, 149)(38, 150)(39, 151)(40, 152)(41, 126)(42, 127)(43, 129)(44, 130)(45, 154)(46, 132)(47, 156)(48, 133)(49, 158)(50, 137)(51, 160)(52, 139)(53, 162)(54, 141)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.941
Graph:: simple bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.938 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (Y2 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2), (Y3, Y1), (R * Y2)^2, Y2^-6, Y2 * Y1^-1 * Y2^-3 * Y1^-1, Y1^-1 * Y2 * Y1^-1 * Y2^3 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 15, 69)(4, 58, 9, 63, 17, 71)(6, 60, 21, 75, 8, 62)(7, 61, 11, 65, 20, 74)(10, 64, 28, 82, 19, 73)(13, 67, 24, 78, 35, 89)(14, 68, 31, 85, 37, 91)(16, 70, 33, 87, 38, 92)(18, 72, 40, 94, 25, 79)(22, 76, 29, 83, 32, 86)(23, 77, 43, 97, 26, 80)(27, 81, 47, 101, 39, 93)(30, 84, 49, 103, 42, 96)(34, 88, 45, 99, 53, 107)(36, 90, 46, 100, 54, 108)(41, 95, 48, 102, 51, 105)(44, 98, 50, 104, 52, 106)(109, 163, 111, 165, 121, 175, 136, 190, 130, 184, 114, 168)(110, 164, 116, 170, 132, 186, 123, 177, 137, 191, 118, 172)(112, 166, 122, 176, 142, 196, 155, 209, 149, 203, 126, 180)(113, 167, 127, 181, 143, 197, 129, 183, 140, 194, 120, 174)(115, 169, 124, 178, 144, 198, 157, 211, 152, 206, 131, 185)(117, 171, 133, 187, 153, 207, 145, 199, 156, 210, 135, 189)(119, 173, 134, 188, 154, 208, 146, 200, 158, 212, 138, 192)(125, 179, 147, 201, 161, 215, 148, 202, 159, 213, 139, 193)(128, 182, 150, 204, 162, 216, 151, 205, 160, 214, 141, 195)
	L = (1, 112)(2, 117)(3, 122)(4, 115)(5, 125)(6, 126)(7, 109)(8, 133)(9, 119)(10, 135)(11, 110)(12, 139)(13, 142)(14, 124)(15, 145)(16, 111)(17, 128)(18, 131)(19, 147)(20, 113)(21, 148)(22, 149)(23, 114)(24, 153)(25, 134)(26, 116)(27, 138)(28, 155)(29, 156)(30, 118)(31, 141)(32, 159)(33, 120)(34, 144)(35, 161)(36, 121)(37, 146)(38, 123)(39, 150)(40, 151)(41, 152)(42, 127)(43, 129)(44, 130)(45, 154)(46, 132)(47, 157)(48, 158)(49, 136)(50, 137)(51, 160)(52, 140)(53, 162)(54, 143)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.939 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, (R * Y1)^2, (R * Y2)^2, (Y3^-1, Y2), (R * Y3)^2, (Y3, Y1), Y1 * Y3 * Y2 * Y1 * Y2^-1, Y2^6 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 15, 69)(4, 58, 9, 63, 17, 71)(6, 60, 22, 76, 23, 77)(7, 61, 11, 65, 21, 75)(8, 62, 16, 70, 27, 81)(10, 64, 25, 79, 29, 83)(13, 67, 26, 80, 35, 89)(14, 68, 19, 73, 28, 82)(18, 72, 20, 74, 31, 85)(24, 78, 30, 84, 39, 93)(32, 86, 36, 90, 44, 98)(33, 87, 48, 102, 50, 104)(34, 88, 37, 91, 45, 99)(38, 92, 41, 95, 46, 100)(40, 94, 42, 96, 47, 101)(43, 97, 51, 105, 53, 107)(49, 103, 52, 106, 54, 108)(109, 163, 111, 165, 121, 175, 141, 195, 132, 186, 114, 168)(110, 164, 116, 170, 134, 188, 151, 205, 138, 192, 118, 172)(112, 166, 122, 176, 142, 196, 157, 211, 146, 200, 126, 180)(113, 167, 127, 181, 143, 197, 160, 214, 147, 201, 128, 182)(115, 169, 124, 178, 144, 198, 159, 213, 150, 204, 133, 187)(117, 171, 123, 177, 145, 199, 158, 212, 149, 203, 131, 185)(119, 173, 136, 190, 152, 206, 162, 216, 155, 209, 139, 193)(120, 174, 140, 194, 156, 210, 148, 202, 130, 184, 129, 183)(125, 179, 135, 189, 153, 207, 161, 215, 154, 208, 137, 191)
	L = (1, 112)(2, 117)(3, 122)(4, 115)(5, 125)(6, 126)(7, 109)(8, 123)(9, 119)(10, 131)(11, 110)(12, 127)(13, 142)(14, 124)(15, 136)(16, 111)(17, 129)(18, 133)(19, 135)(20, 137)(21, 113)(22, 128)(23, 139)(24, 146)(25, 114)(26, 145)(27, 120)(28, 116)(29, 130)(30, 149)(31, 118)(32, 143)(33, 157)(34, 144)(35, 153)(36, 121)(37, 152)(38, 150)(39, 154)(40, 147)(41, 155)(42, 132)(43, 158)(44, 134)(45, 140)(46, 148)(47, 138)(48, 160)(49, 159)(50, 162)(51, 141)(52, 161)(53, 156)(54, 151)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.940 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (R * Y1)^2, (R * Y2)^2, (Y3^-1, Y2), (R * Y3)^2, (Y3, Y1), Y3^-1 * Y2^-1 * Y1 * Y2 * Y1, Y2^-1 * Y1 * Y3^-1 * Y2 * Y1, Y2^6 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 15, 69)(4, 58, 9, 63, 17, 71)(6, 60, 22, 76, 23, 77)(7, 61, 11, 65, 21, 75)(8, 62, 14, 68, 28, 82)(10, 64, 18, 72, 30, 84)(13, 67, 26, 80, 35, 89)(16, 70, 19, 73, 27, 81)(20, 74, 29, 83, 25, 79)(24, 78, 31, 85, 39, 93)(32, 86, 34, 88, 44, 98)(33, 87, 48, 102, 50, 104)(36, 90, 37, 91, 45, 99)(38, 92, 46, 100, 40, 94)(41, 95, 47, 101, 42, 96)(43, 97, 49, 103, 54, 108)(51, 105, 52, 106, 53, 107)(109, 163, 111, 165, 121, 175, 141, 195, 132, 186, 114, 168)(110, 164, 116, 170, 134, 188, 151, 205, 139, 193, 118, 172)(112, 166, 122, 176, 142, 196, 157, 211, 146, 200, 126, 180)(113, 167, 127, 181, 143, 197, 160, 214, 147, 201, 128, 182)(115, 169, 124, 178, 144, 198, 159, 213, 150, 204, 133, 187)(117, 171, 135, 189, 152, 206, 161, 215, 154, 208, 137, 191)(119, 173, 123, 177, 145, 199, 158, 212, 149, 203, 131, 185)(120, 174, 140, 194, 156, 210, 148, 202, 130, 184, 125, 179)(129, 183, 136, 190, 153, 207, 162, 216, 155, 209, 138, 192)
	L = (1, 112)(2, 117)(3, 122)(4, 115)(5, 125)(6, 126)(7, 109)(8, 135)(9, 119)(10, 137)(11, 110)(12, 136)(13, 142)(14, 124)(15, 116)(16, 111)(17, 129)(18, 133)(19, 120)(20, 130)(21, 113)(22, 138)(23, 118)(24, 146)(25, 114)(26, 152)(27, 123)(28, 127)(29, 131)(30, 128)(31, 154)(32, 153)(33, 157)(34, 144)(35, 140)(36, 121)(37, 134)(38, 150)(39, 148)(40, 155)(41, 139)(42, 132)(43, 161)(44, 145)(45, 143)(46, 149)(47, 147)(48, 162)(49, 159)(50, 151)(51, 141)(52, 156)(53, 158)(54, 160)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.936
Graph:: simple bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.941 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (R * Y2)^2, (R * Y1)^2, (Y3, Y1), (Y3^-1, Y2), (R * Y3)^2, Y1 * Y3 * Y2^-1 * Y1 * Y2^-1, Y1 * Y2^2 * Y1^-1 * Y2^-2, Y2^6, (Y2^-1 * Y3^-1 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 15, 69)(4, 58, 9, 63, 17, 71)(6, 60, 22, 76, 23, 77)(7, 61, 11, 65, 21, 75)(8, 62, 26, 80, 29, 83)(10, 64, 16, 70, 31, 85)(13, 67, 27, 81, 39, 93)(14, 68, 35, 89, 33, 87)(18, 72, 19, 73, 43, 97)(20, 74, 30, 84, 45, 99)(24, 78, 32, 86, 46, 100)(25, 79, 42, 96, 49, 103)(28, 82, 37, 91, 47, 101)(34, 88, 50, 104, 54, 108)(36, 90, 40, 94, 51, 105)(38, 92, 48, 102, 53, 107)(41, 95, 52, 106, 44, 98)(109, 163, 111, 165, 121, 175, 145, 199, 132, 186, 114, 168)(110, 164, 116, 170, 135, 189, 157, 211, 140, 194, 118, 172)(112, 166, 122, 176, 146, 200, 153, 207, 152, 206, 126, 180)(113, 167, 127, 181, 147, 201, 143, 197, 154, 208, 128, 182)(115, 169, 124, 178, 148, 202, 134, 188, 158, 212, 133, 187)(117, 171, 136, 190, 156, 210, 131, 185, 149, 203, 123, 177)(119, 173, 138, 192, 159, 213, 151, 205, 162, 216, 141, 195)(120, 174, 142, 196, 155, 209, 129, 183, 130, 184, 144, 198)(125, 179, 150, 204, 161, 215, 139, 193, 160, 214, 137, 191)
	L = (1, 112)(2, 117)(3, 122)(4, 115)(5, 125)(6, 126)(7, 109)(8, 136)(9, 119)(10, 123)(11, 110)(12, 143)(13, 146)(14, 124)(15, 141)(16, 111)(17, 129)(18, 133)(19, 150)(20, 137)(21, 113)(22, 127)(23, 151)(24, 152)(25, 114)(26, 145)(27, 156)(28, 138)(29, 155)(30, 116)(31, 120)(32, 149)(33, 118)(34, 154)(35, 139)(36, 147)(37, 153)(38, 148)(39, 161)(40, 121)(41, 162)(42, 130)(43, 157)(44, 158)(45, 134)(46, 160)(47, 128)(48, 159)(49, 131)(50, 132)(51, 135)(52, 142)(53, 144)(54, 140)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.937
Graph:: simple bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.942 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, Y1^3, (Y3^-1, Y2), (R * Y2)^2, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, Y2 * Y3^-1 * Y1 * Y2 * Y1, Y2^6, Y2^2 * Y1 * Y2^-2 * Y1^-1, Y1 * Y2^-1 * Y3^-1 * Y2^-2 * Y1 * Y2^-1, Y1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 15, 69)(4, 58, 9, 63, 17, 71)(6, 60, 22, 76, 23, 77)(7, 61, 11, 65, 21, 75)(8, 62, 18, 72, 28, 82)(10, 64, 30, 84, 31, 85)(13, 67, 26, 80, 38, 92)(14, 68, 34, 88, 40, 94)(16, 70, 20, 74, 43, 97)(19, 73, 29, 83, 46, 100)(24, 78, 32, 86, 47, 101)(25, 79, 49, 103, 27, 81)(33, 87, 36, 90, 44, 98)(35, 89, 45, 99, 54, 108)(37, 91, 51, 105, 48, 102)(39, 93, 42, 96, 53, 107)(41, 95, 52, 106, 50, 104)(109, 163, 111, 165, 121, 175, 144, 198, 132, 186, 114, 168)(110, 164, 116, 170, 134, 188, 148, 202, 140, 194, 118, 172)(112, 166, 122, 176, 145, 199, 138, 192, 153, 207, 126, 180)(113, 167, 127, 181, 146, 200, 157, 211, 155, 209, 128, 182)(115, 169, 124, 178, 147, 201, 154, 208, 158, 212, 133, 187)(117, 171, 135, 189, 159, 213, 151, 205, 162, 216, 137, 191)(119, 173, 131, 185, 150, 204, 123, 177, 149, 203, 141, 195)(120, 174, 125, 179, 152, 206, 156, 210, 130, 184, 143, 197)(129, 183, 139, 193, 161, 215, 136, 190, 160, 214, 142, 196)
	L = (1, 112)(2, 117)(3, 122)(4, 115)(5, 125)(6, 126)(7, 109)(8, 135)(9, 119)(10, 137)(11, 110)(12, 142)(13, 145)(14, 124)(15, 148)(16, 111)(17, 129)(18, 133)(19, 152)(20, 120)(21, 113)(22, 136)(23, 116)(24, 153)(25, 114)(26, 159)(27, 131)(28, 157)(29, 141)(30, 154)(31, 127)(32, 162)(33, 118)(34, 128)(35, 160)(36, 138)(37, 147)(38, 156)(39, 121)(40, 151)(41, 140)(42, 134)(43, 123)(44, 139)(45, 158)(46, 144)(47, 143)(48, 161)(49, 130)(50, 132)(51, 150)(52, 155)(53, 146)(54, 149)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.944
Graph:: simple bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.943 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, (Y3, Y1), (Y2^-1, Y3^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y1, Y1 * Y2^2 * Y1^-1 * Y2^-2, Y2^6, Y2^2 * Y1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 15, 69)(4, 58, 9, 63, 17, 71)(6, 60, 22, 76, 23, 77)(7, 61, 11, 65, 21, 75)(8, 62, 26, 80, 29, 83)(10, 64, 14, 68, 32, 86)(13, 67, 27, 81, 39, 93)(16, 70, 36, 90, 31, 85)(18, 72, 43, 97, 44, 98)(19, 73, 46, 100, 25, 79)(20, 74, 28, 82, 47, 101)(24, 78, 33, 87, 48, 102)(30, 84, 37, 91, 42, 96)(34, 88, 45, 99, 53, 107)(35, 89, 38, 92, 51, 105)(40, 94, 49, 103, 54, 108)(41, 95, 52, 106, 50, 104)(109, 163, 111, 165, 121, 175, 145, 199, 132, 186, 114, 168)(110, 164, 116, 170, 135, 189, 152, 206, 141, 195, 118, 172)(112, 166, 122, 176, 146, 200, 134, 188, 153, 207, 126, 180)(113, 167, 127, 181, 147, 201, 144, 198, 156, 210, 128, 182)(115, 169, 124, 178, 148, 202, 155, 209, 158, 212, 133, 187)(117, 171, 136, 190, 159, 213, 154, 208, 161, 215, 139, 193)(119, 173, 138, 192, 157, 211, 131, 185, 149, 203, 123, 177)(120, 174, 142, 196, 150, 204, 125, 179, 130, 184, 143, 197)(129, 183, 151, 205, 162, 216, 140, 194, 160, 214, 137, 191)
	L = (1, 112)(2, 117)(3, 122)(4, 115)(5, 125)(6, 126)(7, 109)(8, 136)(9, 119)(10, 139)(11, 110)(12, 140)(13, 146)(14, 124)(15, 118)(16, 111)(17, 129)(18, 133)(19, 130)(20, 150)(21, 113)(22, 151)(23, 152)(24, 153)(25, 114)(26, 155)(27, 159)(28, 138)(29, 128)(30, 116)(31, 123)(32, 144)(33, 161)(34, 160)(35, 162)(36, 120)(37, 134)(38, 148)(39, 143)(40, 121)(41, 141)(42, 137)(43, 127)(44, 154)(45, 158)(46, 131)(47, 145)(48, 142)(49, 135)(50, 132)(51, 157)(52, 156)(53, 149)(54, 147)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.944 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, (Y3^-1, Y1^-1), (R * Y3)^2, (Y3^-1, Y1), (R * Y1)^2, (Y2^-1, Y3^-1), (R * Y2)^2, Y2 * Y3 * Y1 * Y2 * Y1, Y1 * Y2^2 * Y1^-1 * Y2^-2, Y2^6, Y3 * Y2^-3 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 15, 69)(4, 58, 9, 63, 17, 71)(6, 60, 22, 76, 23, 77)(7, 61, 11, 65, 21, 75)(8, 62, 25, 79, 27, 81)(10, 64, 30, 84, 31, 85)(13, 67, 26, 80, 38, 92)(14, 68, 20, 74, 40, 94)(16, 70, 35, 89, 43, 97)(18, 72, 44, 98, 28, 82)(19, 73, 33, 87, 46, 100)(24, 78, 32, 86, 48, 102)(29, 83, 36, 90, 47, 101)(34, 88, 50, 104, 54, 108)(37, 91, 42, 96, 53, 107)(39, 93, 51, 105, 49, 103)(41, 95, 52, 106, 45, 99)(109, 163, 111, 165, 121, 175, 144, 198, 132, 186, 114, 168)(110, 164, 116, 170, 134, 188, 151, 205, 140, 194, 118, 172)(112, 166, 122, 176, 145, 199, 154, 208, 153, 207, 126, 180)(113, 167, 127, 181, 146, 200, 152, 206, 156, 210, 128, 182)(115, 169, 124, 178, 147, 201, 138, 192, 158, 212, 133, 187)(117, 171, 131, 185, 150, 204, 123, 177, 149, 203, 137, 191)(119, 173, 136, 190, 159, 213, 148, 202, 162, 216, 141, 195)(120, 174, 129, 183, 155, 209, 157, 211, 130, 184, 142, 196)(125, 179, 139, 193, 161, 215, 135, 189, 160, 214, 143, 197)
	L = (1, 112)(2, 117)(3, 122)(4, 115)(5, 125)(6, 126)(7, 109)(8, 131)(9, 119)(10, 137)(11, 110)(12, 128)(13, 145)(14, 124)(15, 148)(16, 111)(17, 129)(18, 133)(19, 139)(20, 143)(21, 113)(22, 152)(23, 136)(24, 153)(25, 114)(26, 150)(27, 130)(28, 116)(29, 141)(30, 144)(31, 155)(32, 149)(33, 118)(34, 156)(35, 120)(36, 154)(37, 147)(38, 161)(39, 121)(40, 151)(41, 162)(42, 159)(43, 123)(44, 135)(45, 158)(46, 138)(47, 127)(48, 160)(49, 146)(50, 132)(51, 134)(52, 142)(53, 157)(54, 140)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.942
Graph:: simple bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.945 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, (Y2^-1, Y1), (R * Y3)^2, (R * Y1)^2, Y3 * Y2^-1 * Y3 * Y2, (Y3^-1, Y1^-1), (R * Y2 * Y3^-1)^2, Y2^6 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 8, 62, 14, 68)(4, 58, 9, 63, 16, 70)(6, 60, 10, 64, 18, 72)(7, 61, 11, 65, 19, 73)(12, 66, 22, 76, 30, 84)(13, 67, 23, 77, 32, 86)(15, 69, 24, 78, 33, 87)(17, 71, 25, 79, 34, 88)(20, 74, 26, 80, 36, 90)(21, 75, 27, 81, 37, 91)(28, 82, 39, 93, 45, 99)(29, 83, 40, 94, 47, 101)(31, 85, 41, 95, 48, 102)(35, 89, 42, 96, 49, 103)(38, 92, 43, 97, 50, 104)(44, 98, 51, 105, 53, 107)(46, 100, 52, 106, 54, 108)(109, 163, 111, 165, 120, 174, 136, 190, 129, 183, 114, 168)(110, 164, 116, 170, 130, 184, 147, 201, 135, 189, 118, 172)(112, 166, 123, 177, 137, 191, 154, 208, 143, 197, 125, 179)(113, 167, 122, 176, 138, 192, 153, 207, 145, 199, 126, 180)(115, 169, 121, 175, 139, 193, 152, 206, 146, 200, 128, 182)(117, 171, 132, 186, 148, 202, 160, 214, 150, 204, 133, 187)(119, 173, 131, 185, 149, 203, 159, 213, 151, 205, 134, 188)(124, 178, 141, 195, 155, 209, 162, 216, 157, 211, 142, 196)(127, 181, 140, 194, 156, 210, 161, 215, 158, 212, 144, 198)
	L = (1, 112)(2, 117)(3, 121)(4, 115)(5, 124)(6, 128)(7, 109)(8, 131)(9, 119)(10, 134)(11, 110)(12, 137)(13, 123)(14, 140)(15, 111)(16, 127)(17, 114)(18, 144)(19, 113)(20, 125)(21, 143)(22, 148)(23, 132)(24, 116)(25, 118)(26, 133)(27, 150)(28, 152)(29, 139)(30, 155)(31, 120)(32, 141)(33, 122)(34, 126)(35, 146)(36, 142)(37, 157)(38, 129)(39, 159)(40, 149)(41, 130)(42, 151)(43, 135)(44, 154)(45, 161)(46, 136)(47, 156)(48, 138)(49, 158)(50, 145)(51, 160)(52, 147)(53, 162)(54, 153)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.947
Graph:: simple bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.946 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, (Y1^-1, Y3), Y3 * Y2^-1 * Y3 * Y2, (R * Y3)^2, (R * Y1)^2, Y2 * Y3^-1 * Y1^-1 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, Y2^6 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 15, 69)(4, 58, 9, 63, 17, 71)(6, 60, 22, 76, 24, 78)(7, 61, 11, 65, 21, 75)(8, 62, 26, 80, 14, 68)(10, 64, 29, 83, 23, 77)(13, 67, 27, 81, 35, 89)(16, 70, 28, 82, 19, 73)(18, 72, 30, 84, 20, 74)(25, 79, 31, 85, 39, 93)(32, 86, 43, 97, 34, 88)(33, 87, 48, 102, 50, 104)(36, 90, 45, 99, 37, 91)(38, 92, 40, 94, 46, 100)(41, 95, 47, 101, 42, 96)(44, 98, 53, 107, 49, 103)(51, 105, 54, 108, 52, 106)(109, 163, 111, 165, 121, 175, 141, 195, 133, 187, 114, 168)(110, 164, 116, 170, 135, 189, 152, 206, 139, 193, 118, 172)(112, 166, 124, 178, 142, 196, 159, 213, 146, 200, 126, 180)(113, 167, 127, 181, 143, 197, 160, 214, 147, 201, 128, 182)(115, 169, 122, 176, 144, 198, 157, 211, 149, 203, 131, 185)(117, 171, 120, 174, 140, 194, 156, 210, 148, 202, 130, 184)(119, 173, 136, 190, 153, 207, 162, 216, 155, 209, 138, 192)(123, 177, 145, 199, 158, 212, 150, 204, 132, 186, 129, 183)(125, 179, 134, 188, 151, 205, 161, 215, 154, 208, 137, 191)
	L = (1, 112)(2, 117)(3, 122)(4, 115)(5, 125)(6, 131)(7, 109)(8, 136)(9, 119)(10, 138)(11, 110)(12, 116)(13, 142)(14, 124)(15, 134)(16, 111)(17, 129)(18, 114)(19, 123)(20, 132)(21, 113)(22, 118)(23, 126)(24, 137)(25, 146)(26, 127)(27, 140)(28, 120)(29, 128)(30, 130)(31, 148)(32, 153)(33, 157)(34, 144)(35, 151)(36, 121)(37, 143)(38, 149)(39, 154)(40, 155)(41, 133)(42, 147)(43, 145)(44, 162)(45, 135)(46, 150)(47, 139)(48, 152)(49, 159)(50, 161)(51, 141)(52, 158)(53, 160)(54, 156)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.947 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, (R * Y1)^2, Y3 * Y2^-1 * Y3 * Y2, (R * Y3)^2, (Y1, Y3^-1), Y2 * Y3^-1 * Y1 * Y2^-1 * Y1^-1, Y2 * Y1 * Y2^-1 * Y3 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2^6 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 15, 69)(4, 58, 9, 63, 17, 71)(6, 60, 22, 76, 24, 78)(7, 61, 11, 65, 21, 75)(8, 62, 26, 80, 16, 70)(10, 64, 30, 84, 18, 72)(13, 67, 27, 81, 35, 89)(14, 68, 28, 82, 19, 73)(20, 74, 23, 77, 29, 83)(25, 79, 31, 85, 39, 93)(32, 86, 43, 97, 36, 90)(33, 87, 48, 102, 50, 104)(34, 88, 45, 99, 37, 91)(38, 92, 46, 100, 42, 96)(40, 94, 47, 101, 41, 95)(44, 98, 53, 107, 51, 105)(49, 103, 54, 108, 52, 106)(109, 163, 111, 165, 121, 175, 141, 195, 133, 187, 114, 168)(110, 164, 116, 170, 135, 189, 152, 206, 139, 193, 118, 172)(112, 166, 124, 178, 142, 196, 159, 213, 146, 200, 126, 180)(113, 167, 127, 181, 143, 197, 160, 214, 147, 201, 128, 182)(115, 169, 122, 176, 144, 198, 157, 211, 149, 203, 131, 185)(117, 171, 136, 190, 153, 207, 162, 216, 154, 208, 137, 191)(119, 173, 120, 174, 140, 194, 156, 210, 148, 202, 130, 184)(123, 177, 145, 199, 158, 212, 150, 204, 132, 186, 125, 179)(129, 183, 134, 188, 151, 205, 161, 215, 155, 209, 138, 192)
	L = (1, 112)(2, 117)(3, 122)(4, 115)(5, 125)(6, 131)(7, 109)(8, 120)(9, 119)(10, 130)(11, 110)(12, 136)(13, 142)(14, 124)(15, 127)(16, 111)(17, 129)(18, 114)(19, 134)(20, 138)(21, 113)(22, 137)(23, 126)(24, 128)(25, 146)(26, 123)(27, 153)(28, 116)(29, 118)(30, 132)(31, 154)(32, 135)(33, 157)(34, 144)(35, 145)(36, 121)(37, 151)(38, 149)(39, 150)(40, 139)(41, 133)(42, 155)(43, 143)(44, 156)(45, 140)(46, 148)(47, 147)(48, 162)(49, 159)(50, 160)(51, 141)(52, 161)(53, 158)(54, 152)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.945
Graph:: simple bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.948 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, (Y3^-1 * Y2^-1)^2, (R * Y1)^2, (Y3, Y1), (R * Y3)^2, (Y2^-1, Y1^-1), Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^2, (R * Y2 * Y3^-1)^2, Y2^6 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 8, 62, 14, 68)(4, 58, 9, 63, 17, 71)(6, 60, 10, 64, 19, 73)(7, 61, 11, 65, 20, 74)(12, 66, 24, 78, 34, 88)(13, 67, 25, 79, 36, 90)(15, 69, 26, 80, 38, 92)(16, 70, 27, 81, 40, 94)(18, 72, 28, 82, 41, 95)(21, 75, 29, 83, 42, 96)(22, 76, 30, 84, 43, 97)(23, 77, 31, 85, 44, 98)(32, 86, 45, 99, 50, 104)(33, 87, 46, 100, 51, 105)(35, 89, 47, 101, 52, 106)(37, 91, 48, 102, 53, 107)(39, 93, 49, 103, 54, 108)(109, 163, 111, 165, 120, 174, 140, 194, 130, 184, 114, 168)(110, 164, 116, 170, 132, 186, 153, 207, 138, 192, 118, 172)(112, 166, 124, 178, 141, 195, 123, 177, 147, 201, 126, 180)(113, 167, 122, 176, 142, 196, 158, 212, 151, 205, 127, 181)(115, 169, 131, 185, 143, 197, 129, 183, 145, 199, 121, 175)(117, 171, 135, 189, 154, 208, 134, 188, 157, 211, 136, 190)(119, 173, 139, 193, 155, 209, 137, 191, 156, 210, 133, 187)(125, 179, 148, 202, 159, 213, 146, 200, 162, 216, 149, 203)(128, 182, 152, 206, 160, 214, 150, 204, 161, 215, 144, 198)
	L = (1, 112)(2, 117)(3, 121)(4, 115)(5, 125)(6, 129)(7, 109)(8, 133)(9, 119)(10, 137)(11, 110)(12, 141)(13, 123)(14, 144)(15, 111)(16, 114)(17, 128)(18, 140)(19, 150)(20, 113)(21, 124)(22, 147)(23, 126)(24, 154)(25, 134)(26, 116)(27, 118)(28, 153)(29, 135)(30, 157)(31, 136)(32, 131)(33, 143)(34, 159)(35, 120)(36, 146)(37, 130)(38, 122)(39, 145)(40, 127)(41, 158)(42, 148)(43, 162)(44, 149)(45, 139)(46, 155)(47, 132)(48, 138)(49, 156)(50, 152)(51, 160)(52, 142)(53, 151)(54, 161)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.950
Graph:: simple bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.949 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3, Y1), Y1 * Y2 * Y3^-1 * Y1^-1 * Y2, Y3 * Y2^-3 * Y3 * Y2^-1, Y2 * Y3^-1 * Y2^-2 * Y3 * Y2, Y1 * Y2^2 * Y1^-1 * Y2^-2, (R * Y2 * Y3^-1)^2, Y2^6, Y3 * Y2^-1 * Y3^-1 * Y1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 15, 69)(4, 58, 9, 63, 18, 72)(6, 60, 23, 77, 25, 79)(7, 61, 11, 65, 22, 76)(8, 62, 28, 82, 24, 78)(10, 64, 32, 86, 27, 81)(13, 67, 29, 83, 40, 94)(14, 68, 36, 90, 42, 96)(16, 70, 35, 89, 21, 75)(17, 71, 30, 84, 47, 101)(19, 73, 33, 87, 20, 74)(26, 80, 34, 88, 49, 103)(31, 85, 48, 102, 38, 92)(37, 91, 51, 105, 46, 100)(39, 93, 50, 104, 54, 108)(41, 95, 52, 106, 45, 99)(43, 97, 53, 107, 44, 98)(109, 163, 111, 165, 121, 175, 146, 200, 134, 188, 114, 168)(110, 164, 116, 170, 137, 191, 144, 198, 142, 196, 118, 172)(112, 166, 125, 179, 147, 201, 124, 178, 154, 208, 127, 181)(113, 167, 128, 182, 148, 202, 155, 209, 157, 211, 129, 183)(115, 169, 135, 189, 149, 203, 132, 186, 151, 205, 122, 176)(117, 171, 139, 193, 158, 212, 131, 185, 145, 199, 120, 174)(119, 173, 143, 197, 160, 214, 141, 195, 161, 215, 138, 192)(123, 177, 152, 206, 156, 210, 130, 184, 133, 187, 153, 207)(126, 180, 150, 204, 162, 216, 140, 194, 159, 213, 136, 190)
	L = (1, 112)(2, 117)(3, 122)(4, 115)(5, 126)(6, 132)(7, 109)(8, 138)(9, 119)(10, 141)(11, 110)(12, 144)(13, 147)(14, 124)(15, 150)(16, 111)(17, 114)(18, 130)(19, 146)(20, 156)(21, 123)(22, 113)(23, 116)(24, 125)(25, 136)(26, 154)(27, 127)(28, 155)(29, 158)(30, 131)(31, 118)(32, 128)(33, 139)(34, 145)(35, 120)(36, 143)(37, 161)(38, 135)(39, 149)(40, 162)(41, 121)(42, 129)(43, 134)(44, 157)(45, 148)(46, 151)(47, 133)(48, 140)(49, 159)(50, 160)(51, 152)(52, 137)(53, 142)(54, 153)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.950 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, Y3^3, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y1^-1, Y3^-1), Y3^-1 * Y2 * Y1^-1 * Y2 * Y1, Y1 * Y2 * Y1^-1 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y3 * Y2^3, Y2^2 * Y1 * Y2^-2 * Y1^-1, Y3 * Y2^-1 * Y3 * Y2^-3 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 15, 69)(4, 58, 9, 63, 18, 72)(6, 60, 23, 77, 25, 79)(7, 61, 11, 65, 22, 76)(8, 62, 28, 82, 19, 73)(10, 64, 34, 88, 16, 70)(13, 67, 29, 83, 40, 94)(14, 68, 32, 86, 42, 96)(17, 71, 46, 100, 47, 101)(20, 74, 24, 78, 33, 87)(21, 75, 27, 81, 31, 85)(26, 80, 35, 89, 49, 103)(30, 84, 48, 102, 38, 92)(36, 90, 51, 105, 43, 97)(37, 91, 52, 106, 41, 95)(39, 93, 53, 107, 50, 104)(44, 98, 45, 99, 54, 108)(109, 163, 111, 165, 121, 175, 146, 200, 134, 188, 114, 168)(110, 164, 116, 170, 137, 191, 154, 208, 143, 197, 118, 172)(112, 166, 125, 179, 147, 201, 124, 178, 153, 207, 127, 181)(113, 167, 128, 182, 148, 202, 150, 204, 157, 211, 129, 183)(115, 169, 135, 189, 149, 203, 132, 186, 151, 205, 122, 176)(117, 171, 140, 194, 161, 215, 139, 193, 162, 216, 141, 195)(119, 173, 131, 185, 145, 199, 120, 174, 144, 198, 138, 192)(123, 177, 126, 180, 156, 210, 158, 212, 133, 187, 152, 206)(130, 184, 142, 196, 160, 214, 136, 190, 159, 213, 155, 209)
	L = (1, 112)(2, 117)(3, 122)(4, 115)(5, 126)(6, 132)(7, 109)(8, 138)(9, 119)(10, 120)(11, 110)(12, 140)(13, 147)(14, 124)(15, 150)(16, 111)(17, 114)(18, 130)(19, 146)(20, 155)(21, 136)(22, 113)(23, 141)(24, 125)(25, 128)(26, 153)(27, 127)(28, 156)(29, 161)(30, 139)(31, 116)(32, 118)(33, 154)(34, 123)(35, 162)(36, 143)(37, 137)(38, 135)(39, 149)(40, 158)(41, 121)(42, 142)(43, 134)(44, 159)(45, 151)(46, 131)(47, 133)(48, 129)(49, 152)(50, 160)(51, 157)(52, 148)(53, 145)(54, 144)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.948
Graph:: simple bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.951 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1 * Y2, Y3^3, Y1^3, (Y3^-1, Y1), (R * Y3)^2, (Y2 * Y1^-1)^2, (R * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, (Y3 * Y2^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 6, 60, 9, 63)(4, 58, 8, 62, 14, 68)(7, 61, 10, 64, 16, 70)(11, 65, 17, 71, 22, 76)(12, 66, 18, 72, 23, 77)(13, 67, 15, 69, 21, 75)(19, 73, 20, 74, 24, 78)(25, 79, 26, 80, 33, 87)(27, 81, 28, 82, 34, 88)(29, 83, 31, 85, 39, 93)(30, 84, 32, 86, 40, 94)(35, 89, 37, 91, 41, 95)(36, 90, 38, 92, 42, 96)(43, 97, 45, 99, 51, 105)(44, 98, 46, 100, 53, 107)(47, 101, 49, 103, 52, 106)(48, 102, 50, 104, 54, 108)(109, 163, 111, 165, 113, 167, 117, 171, 110, 164, 114, 168)(112, 166, 121, 175, 122, 176, 129, 183, 116, 170, 123, 177)(115, 169, 127, 181, 124, 178, 132, 186, 118, 172, 128, 182)(119, 173, 133, 187, 130, 184, 141, 195, 125, 179, 134, 188)(120, 174, 135, 189, 131, 185, 142, 196, 126, 180, 136, 190)(137, 191, 151, 205, 147, 201, 159, 213, 139, 193, 153, 207)(138, 192, 155, 209, 148, 202, 160, 214, 140, 194, 157, 211)(143, 197, 152, 206, 149, 203, 161, 215, 145, 199, 154, 208)(144, 198, 156, 210, 150, 204, 162, 216, 146, 200, 158, 212)
	L = (1, 112)(2, 116)(3, 119)(4, 115)(5, 122)(6, 125)(7, 109)(8, 118)(9, 130)(10, 110)(11, 120)(12, 111)(13, 137)(14, 124)(15, 139)(16, 113)(17, 126)(18, 114)(19, 143)(20, 145)(21, 147)(22, 131)(23, 117)(24, 149)(25, 151)(26, 153)(27, 155)(28, 157)(29, 138)(30, 121)(31, 140)(32, 123)(33, 159)(34, 160)(35, 144)(36, 127)(37, 146)(38, 128)(39, 148)(40, 129)(41, 150)(42, 132)(43, 152)(44, 133)(45, 154)(46, 134)(47, 156)(48, 135)(49, 158)(50, 136)(51, 161)(52, 162)(53, 141)(54, 142)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.969
Graph:: bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.952 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1 * Y2, Y3^3, Y1^3, (Y3^-1, Y1), (Y1 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2^-2 * Y3 * Y2^-2 * Y3 * Y1^-1, Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y2^-1, Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 8, 62, 6, 60)(4, 58, 9, 63, 14, 68)(7, 61, 10, 64, 16, 70)(11, 65, 21, 75, 17, 71)(12, 66, 22, 76, 18, 72)(13, 67, 23, 77, 15, 69)(19, 73, 24, 78, 20, 74)(25, 79, 33, 87, 26, 80)(27, 81, 34, 88, 28, 82)(29, 83, 39, 93, 31, 85)(30, 84, 40, 94, 32, 86)(35, 89, 41, 95, 37, 91)(36, 90, 42, 96, 38, 92)(43, 97, 51, 105, 45, 99)(44, 98, 53, 107, 46, 100)(47, 101, 52, 106, 49, 103)(48, 102, 54, 108, 50, 104)(109, 163, 111, 165, 110, 164, 116, 170, 113, 167, 114, 168)(112, 166, 121, 175, 117, 171, 131, 185, 122, 176, 123, 177)(115, 169, 127, 181, 118, 172, 132, 186, 124, 178, 128, 182)(119, 173, 133, 187, 129, 183, 141, 195, 125, 179, 134, 188)(120, 174, 135, 189, 130, 184, 142, 196, 126, 180, 136, 190)(137, 191, 151, 205, 147, 201, 159, 213, 139, 193, 153, 207)(138, 192, 155, 209, 148, 202, 160, 214, 140, 194, 157, 211)(143, 197, 152, 206, 149, 203, 161, 215, 145, 199, 154, 208)(144, 198, 156, 210, 150, 204, 162, 216, 146, 200, 158, 212)
	L = (1, 112)(2, 117)(3, 119)(4, 115)(5, 122)(6, 125)(7, 109)(8, 129)(9, 118)(10, 110)(11, 120)(12, 111)(13, 137)(14, 124)(15, 139)(16, 113)(17, 126)(18, 114)(19, 143)(20, 145)(21, 130)(22, 116)(23, 147)(24, 149)(25, 151)(26, 153)(27, 155)(28, 157)(29, 138)(30, 121)(31, 140)(32, 123)(33, 159)(34, 160)(35, 144)(36, 127)(37, 146)(38, 128)(39, 148)(40, 131)(41, 150)(42, 132)(43, 152)(44, 133)(45, 154)(46, 134)(47, 156)(48, 135)(49, 158)(50, 136)(51, 161)(52, 162)(53, 141)(54, 142)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.964
Graph:: bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.953 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (R * Y3)^2, (Y2^-1, Y1^-1), (Y3, Y1), (R * Y1)^2, Y2^-1 * Y1 * Y3 * Y2 * Y3, Y2 * Y1 * Y3 * Y2^-1 * Y3, (R * Y2 * Y3^-1)^2, Y2^6 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 8, 62, 14, 68)(4, 58, 9, 63, 17, 71)(6, 60, 10, 64, 19, 73)(7, 61, 11, 65, 20, 74)(12, 66, 26, 80, 34, 88)(13, 67, 24, 78, 30, 84)(15, 69, 27, 81, 16, 70)(18, 72, 23, 77, 29, 83)(21, 75, 25, 79, 31, 85)(22, 76, 28, 82, 39, 93)(32, 86, 43, 97, 49, 103)(33, 87, 37, 91, 45, 99)(35, 89, 44, 98, 36, 90)(38, 92, 42, 96, 47, 101)(40, 94, 41, 95, 46, 100)(48, 102, 52, 106, 54, 108)(50, 104, 53, 107, 51, 105)(109, 163, 111, 165, 120, 174, 140, 194, 130, 184, 114, 168)(110, 164, 116, 170, 134, 188, 151, 205, 136, 190, 118, 172)(112, 166, 124, 178, 141, 195, 159, 213, 146, 200, 126, 180)(113, 167, 122, 176, 142, 196, 157, 211, 147, 201, 127, 181)(115, 169, 132, 186, 143, 197, 160, 214, 149, 203, 133, 187)(117, 171, 123, 177, 145, 199, 158, 212, 150, 204, 131, 185)(119, 173, 138, 192, 152, 206, 162, 216, 154, 208, 139, 193)(121, 175, 144, 198, 156, 210, 148, 202, 129, 183, 128, 182)(125, 179, 135, 189, 153, 207, 161, 215, 155, 209, 137, 191)
	L = (1, 112)(2, 117)(3, 121)(4, 115)(5, 125)(6, 129)(7, 109)(8, 132)(9, 119)(10, 133)(11, 110)(12, 141)(13, 123)(14, 138)(15, 111)(16, 122)(17, 128)(18, 127)(19, 139)(20, 113)(21, 131)(22, 146)(23, 114)(24, 135)(25, 137)(26, 145)(27, 116)(28, 150)(29, 118)(30, 124)(31, 126)(32, 156)(33, 143)(34, 153)(35, 120)(36, 142)(37, 152)(38, 149)(39, 155)(40, 147)(41, 130)(42, 154)(43, 160)(44, 134)(45, 144)(46, 136)(47, 148)(48, 158)(49, 162)(50, 140)(51, 157)(52, 161)(53, 151)(54, 159)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.966
Graph:: simple bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.954 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (Y2^-1, Y1^-1), (R * Y1)^2, (Y3, Y1), (R * Y3)^2, Y2^-1 * Y3^-1 * Y2 * Y1 * Y3^-1, Y2^6, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 8, 62, 14, 68)(4, 58, 9, 63, 17, 71)(6, 60, 10, 64, 19, 73)(7, 61, 11, 65, 20, 74)(12, 66, 26, 80, 34, 88)(13, 67, 27, 81, 24, 78)(15, 69, 16, 70, 28, 82)(18, 72, 29, 83, 23, 77)(21, 75, 30, 84, 25, 79)(22, 76, 31, 85, 39, 93)(32, 86, 43, 97, 49, 103)(33, 87, 44, 98, 37, 91)(35, 89, 36, 90, 45, 99)(38, 92, 46, 100, 42, 96)(40, 94, 47, 101, 41, 95)(48, 102, 53, 107, 52, 106)(50, 104, 51, 105, 54, 108)(109, 163, 111, 165, 120, 174, 140, 194, 130, 184, 114, 168)(110, 164, 116, 170, 134, 188, 151, 205, 139, 193, 118, 172)(112, 166, 124, 178, 141, 195, 159, 213, 146, 200, 126, 180)(113, 167, 122, 176, 142, 196, 157, 211, 147, 201, 127, 181)(115, 169, 132, 186, 143, 197, 160, 214, 149, 203, 133, 187)(117, 171, 136, 190, 152, 206, 162, 216, 154, 208, 137, 191)(119, 173, 121, 175, 144, 198, 156, 210, 148, 202, 129, 183)(123, 177, 145, 199, 158, 212, 150, 204, 131, 185, 125, 179)(128, 182, 135, 189, 153, 207, 161, 215, 155, 209, 138, 192)
	L = (1, 112)(2, 117)(3, 121)(4, 115)(5, 125)(6, 129)(7, 109)(8, 135)(9, 119)(10, 138)(11, 110)(12, 141)(13, 123)(14, 132)(15, 111)(16, 116)(17, 128)(18, 118)(19, 133)(20, 113)(21, 131)(22, 146)(23, 114)(24, 136)(25, 137)(26, 152)(27, 124)(28, 122)(29, 127)(30, 126)(31, 154)(32, 156)(33, 143)(34, 145)(35, 120)(36, 134)(37, 153)(38, 149)(39, 150)(40, 139)(41, 130)(42, 155)(43, 161)(44, 144)(45, 142)(46, 148)(47, 147)(48, 158)(49, 160)(50, 140)(51, 151)(52, 162)(53, 159)(54, 157)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.956
Graph:: simple bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.955 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (R * Y1)^2, (R * Y3)^2, (Y3, Y1), Y1^-1 * Y2 * Y1^-1 * Y2^-1, R * Y2 * R * Y1^-1 * Y2, Y2^-1 * Y3^-1 * Y2 * Y1 * Y3, (R * Y1 * Y2)^2, Y2^6, (Y3 * Y2^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 8, 62)(4, 58, 9, 63, 17, 71)(6, 60, 19, 73, 10, 64)(7, 61, 11, 65, 20, 74)(13, 67, 26, 80, 32, 86)(14, 68, 16, 70, 27, 81)(15, 69, 30, 84, 24, 78)(18, 72, 28, 82, 21, 75)(22, 76, 29, 83, 39, 93)(23, 77, 31, 85, 25, 79)(33, 87, 48, 102, 43, 97)(34, 88, 36, 90, 45, 99)(35, 89, 44, 98, 37, 91)(38, 92, 40, 94, 46, 100)(41, 95, 47, 101, 42, 96)(49, 103, 51, 105, 53, 107)(50, 104, 54, 108, 52, 106)(109, 163, 111, 165, 121, 175, 141, 195, 130, 184, 114, 168)(110, 164, 116, 170, 134, 188, 151, 205, 137, 191, 118, 172)(112, 166, 124, 178, 142, 196, 159, 213, 146, 200, 126, 180)(113, 167, 120, 174, 140, 194, 156, 210, 147, 201, 127, 181)(115, 169, 132, 186, 143, 197, 160, 214, 149, 203, 133, 187)(117, 171, 122, 176, 144, 198, 157, 211, 148, 202, 129, 183)(119, 173, 138, 192, 152, 206, 162, 216, 155, 209, 139, 193)(123, 177, 145, 199, 158, 212, 150, 204, 131, 185, 128, 182)(125, 179, 135, 189, 153, 207, 161, 215, 154, 208, 136, 190)
	L = (1, 112)(2, 117)(3, 122)(4, 115)(5, 125)(6, 129)(7, 109)(8, 135)(9, 119)(10, 136)(11, 110)(12, 124)(13, 142)(14, 123)(15, 111)(16, 138)(17, 128)(18, 139)(19, 126)(20, 113)(21, 131)(22, 146)(23, 114)(24, 116)(25, 118)(26, 144)(27, 132)(28, 133)(29, 148)(30, 120)(31, 127)(32, 153)(33, 157)(34, 143)(35, 121)(36, 152)(37, 140)(38, 149)(39, 154)(40, 155)(41, 130)(42, 147)(43, 161)(44, 134)(45, 145)(46, 150)(47, 137)(48, 159)(49, 158)(50, 141)(51, 162)(52, 151)(53, 160)(54, 156)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.967
Graph:: simple bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.956 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (R * Y1)^2, Y1^-1 * Y2 * Y1^-1 * Y2^-1, (R * Y3)^2, (Y3, Y1), Y3 * Y2^-1 * Y3^-1 * Y1 * Y2, Y3^-1 * Y2 * Y3 * Y1^-1 * Y2^-1, R * Y2 * Y1^-1 * R * Y2, Y2^6, (Y3 * Y2^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 8, 62)(4, 58, 9, 63, 17, 71)(6, 60, 19, 73, 10, 64)(7, 61, 11, 65, 20, 74)(13, 67, 26, 80, 32, 86)(14, 68, 28, 82, 16, 70)(15, 69, 24, 78, 27, 81)(18, 72, 21, 75, 29, 83)(22, 76, 30, 84, 39, 93)(23, 77, 25, 79, 31, 85)(33, 87, 48, 102, 43, 97)(34, 88, 44, 98, 36, 90)(35, 89, 37, 91, 45, 99)(38, 92, 46, 100, 40, 94)(41, 95, 42, 96, 47, 101)(49, 103, 54, 108, 51, 105)(50, 104, 52, 106, 53, 107)(109, 163, 111, 165, 121, 175, 141, 195, 130, 184, 114, 168)(110, 164, 116, 170, 134, 188, 151, 205, 138, 192, 118, 172)(112, 166, 124, 178, 142, 196, 159, 213, 146, 200, 126, 180)(113, 167, 120, 174, 140, 194, 156, 210, 147, 201, 127, 181)(115, 169, 132, 186, 143, 197, 160, 214, 149, 203, 133, 187)(117, 171, 136, 190, 152, 206, 162, 216, 154, 208, 137, 191)(119, 173, 123, 177, 145, 199, 158, 212, 150, 204, 131, 185)(122, 176, 144, 198, 157, 211, 148, 202, 129, 183, 125, 179)(128, 182, 135, 189, 153, 207, 161, 215, 155, 209, 139, 193)
	L = (1, 112)(2, 117)(3, 122)(4, 115)(5, 125)(6, 129)(7, 109)(8, 124)(9, 119)(10, 126)(11, 110)(12, 136)(13, 142)(14, 123)(15, 111)(16, 135)(17, 128)(18, 139)(19, 137)(20, 113)(21, 131)(22, 146)(23, 114)(24, 120)(25, 127)(26, 152)(27, 116)(28, 132)(29, 133)(30, 154)(31, 118)(32, 144)(33, 157)(34, 143)(35, 121)(36, 153)(37, 134)(38, 149)(39, 148)(40, 155)(41, 130)(42, 138)(43, 159)(44, 145)(45, 140)(46, 150)(47, 147)(48, 162)(49, 158)(50, 141)(51, 161)(52, 156)(53, 151)(54, 160)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.954
Graph:: simple bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.957 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (Y3^-1, Y1^-1), (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y1)^2, Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y2^6, Y2^2 * Y3 * Y2^-2 * Y3^-1, Y3 * Y2^-1 * Y1 * Y2^-2 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 8, 62, 14, 68)(4, 58, 9, 63, 17, 71)(6, 60, 10, 64, 19, 73)(7, 61, 11, 65, 20, 74)(12, 66, 26, 80, 36, 90)(13, 67, 25, 79, 33, 87)(15, 69, 27, 81, 39, 93)(16, 70, 23, 77, 31, 85)(18, 72, 28, 82, 43, 97)(21, 75, 29, 83, 42, 96)(22, 76, 30, 84, 46, 100)(24, 78, 32, 86, 47, 101)(34, 88, 50, 104, 44, 98)(35, 89, 41, 95, 53, 107)(37, 91, 51, 105, 48, 102)(38, 92, 49, 103, 54, 108)(40, 94, 52, 106, 45, 99)(109, 163, 111, 165, 120, 174, 142, 196, 130, 184, 114, 168)(110, 164, 116, 170, 134, 188, 158, 212, 138, 192, 118, 172)(112, 166, 124, 178, 143, 197, 147, 201, 153, 207, 126, 180)(113, 167, 122, 176, 144, 198, 152, 206, 154, 208, 127, 181)(115, 169, 132, 186, 145, 199, 137, 191, 157, 211, 133, 187)(117, 171, 131, 185, 149, 203, 123, 177, 148, 202, 136, 190)(119, 173, 140, 194, 159, 213, 150, 204, 162, 216, 141, 195)(121, 175, 128, 182, 155, 209, 156, 210, 129, 183, 146, 200)(125, 179, 139, 193, 161, 215, 135, 189, 160, 214, 151, 205)
	L = (1, 112)(2, 117)(3, 121)(4, 115)(5, 125)(6, 129)(7, 109)(8, 133)(9, 119)(10, 137)(11, 110)(12, 143)(13, 123)(14, 141)(15, 111)(16, 127)(17, 128)(18, 152)(19, 150)(20, 113)(21, 131)(22, 153)(23, 114)(24, 151)(25, 135)(26, 149)(27, 116)(28, 142)(29, 139)(30, 148)(31, 118)(32, 126)(33, 147)(34, 155)(35, 145)(36, 161)(37, 120)(38, 154)(39, 122)(40, 162)(41, 159)(42, 124)(43, 158)(44, 140)(45, 157)(46, 160)(47, 136)(48, 144)(49, 130)(50, 132)(51, 134)(52, 146)(53, 156)(54, 138)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.962
Graph:: simple bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.958 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (R * Y1)^2, (Y1^-1, Y3), (Y2^-1, Y1^-1), (R * Y3)^2, Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-1, Y2^6, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y2^-2 * Y3^-1 * Y2, Y2 * Y1 * Y3^-1 * Y2^3 * Y3^-1, Y2^2 * Y1^-1 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 8, 62, 14, 68)(4, 58, 9, 63, 17, 71)(6, 60, 10, 64, 19, 73)(7, 61, 11, 65, 20, 74)(12, 66, 26, 80, 36, 90)(13, 67, 27, 81, 25, 79)(15, 69, 28, 82, 39, 93)(16, 70, 29, 83, 23, 77)(18, 72, 30, 84, 42, 96)(21, 75, 31, 85, 46, 100)(22, 76, 32, 86, 47, 101)(24, 78, 33, 87, 45, 99)(34, 88, 43, 97, 50, 104)(35, 89, 51, 105, 41, 95)(37, 91, 48, 102, 54, 108)(38, 92, 52, 106, 49, 103)(40, 94, 44, 98, 53, 107)(109, 163, 111, 165, 120, 174, 142, 196, 130, 184, 114, 168)(110, 164, 116, 170, 134, 188, 151, 205, 140, 194, 118, 172)(112, 166, 124, 178, 143, 197, 136, 190, 152, 206, 126, 180)(113, 167, 122, 176, 144, 198, 158, 212, 155, 209, 127, 181)(115, 169, 132, 186, 145, 199, 154, 208, 157, 211, 133, 187)(117, 171, 137, 191, 159, 213, 147, 201, 161, 215, 138, 192)(119, 173, 141, 195, 156, 210, 129, 183, 146, 200, 121, 175)(123, 177, 148, 202, 150, 204, 125, 179, 131, 185, 149, 203)(128, 182, 153, 207, 162, 216, 139, 193, 160, 214, 135, 189)
	L = (1, 112)(2, 117)(3, 121)(4, 115)(5, 125)(6, 129)(7, 109)(8, 135)(9, 119)(10, 139)(11, 110)(12, 143)(13, 123)(14, 133)(15, 111)(16, 118)(17, 128)(18, 151)(19, 154)(20, 113)(21, 131)(22, 152)(23, 114)(24, 138)(25, 147)(26, 159)(27, 136)(28, 116)(29, 127)(30, 158)(31, 124)(32, 161)(33, 150)(34, 141)(35, 145)(36, 149)(37, 120)(38, 140)(39, 122)(40, 160)(41, 162)(42, 142)(43, 153)(44, 157)(45, 126)(46, 137)(47, 148)(48, 134)(49, 130)(50, 132)(51, 156)(52, 155)(53, 146)(54, 144)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.975
Graph:: simple bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.959 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, (Y1, Y3^-1), (R * Y1)^2, (R * Y3)^2, (Y2, Y1^-1), Y2 * Y1 * Y3^-1 * Y2 * Y3^-1, (Y2 * Y1^-1 * Y3^-1)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-1 * Y2^2 * Y3 * Y2^-1, Y2^6, Y3^-1 * Y1 * Y2^-3 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 8, 62, 14, 68)(4, 58, 9, 63, 17, 71)(6, 60, 10, 64, 19, 73)(7, 61, 11, 65, 20, 74)(12, 66, 26, 80, 36, 90)(13, 67, 27, 81, 39, 93)(15, 69, 18, 72, 29, 83)(16, 70, 28, 82, 43, 97)(21, 75, 30, 84, 24, 78)(22, 76, 31, 85, 46, 100)(23, 77, 32, 86, 47, 101)(25, 79, 33, 87, 44, 98)(34, 88, 42, 96, 50, 104)(35, 89, 51, 105, 49, 103)(37, 91, 40, 94, 53, 107)(38, 92, 52, 106, 48, 102)(41, 95, 45, 99, 54, 108)(109, 163, 111, 165, 120, 174, 142, 196, 130, 184, 114, 168)(110, 164, 116, 170, 134, 188, 150, 204, 139, 193, 118, 172)(112, 166, 124, 178, 143, 197, 140, 194, 153, 207, 126, 180)(113, 167, 122, 176, 144, 198, 158, 212, 154, 208, 127, 181)(115, 169, 132, 186, 145, 199, 147, 201, 156, 210, 133, 187)(117, 171, 136, 190, 159, 213, 155, 209, 162, 216, 137, 191)(119, 173, 129, 183, 148, 202, 121, 175, 146, 200, 141, 195)(123, 177, 125, 179, 151, 205, 157, 211, 131, 185, 149, 203)(128, 182, 138, 192, 161, 215, 135, 189, 160, 214, 152, 206)
	L = (1, 112)(2, 117)(3, 121)(4, 115)(5, 125)(6, 129)(7, 109)(8, 135)(9, 119)(10, 138)(11, 110)(12, 143)(13, 123)(14, 147)(15, 111)(16, 150)(17, 128)(18, 116)(19, 132)(20, 113)(21, 131)(22, 153)(23, 114)(24, 155)(25, 136)(26, 159)(27, 126)(28, 158)(29, 122)(30, 140)(31, 162)(32, 118)(33, 151)(34, 141)(35, 145)(36, 157)(37, 120)(38, 139)(39, 137)(40, 134)(41, 160)(42, 152)(43, 142)(44, 124)(45, 156)(46, 149)(47, 127)(48, 130)(49, 161)(50, 133)(51, 148)(52, 154)(53, 144)(54, 146)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.973
Graph:: simple bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.960 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (R * Y3)^2, (Y3, Y1), (R * Y1)^2, (Y2, Y1^-1), Y2^-1 * Y3 * Y2^-1 * Y1 * Y3, Y2^6, (R * Y2 * Y3^-1)^2, Y2^2 * Y3 * Y2^-2 * Y3^-1, Y3 * Y2 * Y1 * Y3 * Y2^3, Y2^2 * Y1^-1 * Y2 * Y3 * Y2 * Y1^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 8, 62, 14, 68)(4, 58, 9, 63, 17, 71)(6, 60, 10, 64, 19, 73)(7, 61, 11, 65, 20, 74)(12, 66, 26, 80, 36, 90)(13, 67, 27, 81, 39, 93)(15, 69, 28, 82, 18, 72)(16, 70, 29, 83, 43, 97)(21, 75, 24, 78, 32, 86)(22, 76, 30, 84, 45, 99)(23, 77, 31, 85, 46, 100)(25, 79, 33, 87, 47, 101)(34, 88, 50, 104, 42, 96)(35, 89, 49, 103, 54, 108)(37, 91, 51, 105, 40, 94)(38, 92, 48, 102, 53, 107)(41, 95, 52, 106, 44, 98)(109, 163, 111, 165, 120, 174, 142, 196, 130, 184, 114, 168)(110, 164, 116, 170, 134, 188, 158, 212, 138, 192, 118, 172)(112, 166, 124, 178, 143, 197, 154, 208, 152, 206, 126, 180)(113, 167, 122, 176, 144, 198, 150, 204, 153, 207, 127, 181)(115, 169, 132, 186, 145, 199, 135, 189, 156, 210, 133, 187)(117, 171, 137, 191, 157, 211, 131, 185, 149, 203, 123, 177)(119, 173, 140, 194, 159, 213, 147, 201, 161, 215, 141, 195)(121, 175, 146, 200, 155, 209, 128, 182, 129, 183, 148, 202)(125, 179, 151, 205, 162, 216, 139, 193, 160, 214, 136, 190)
	L = (1, 112)(2, 117)(3, 121)(4, 115)(5, 125)(6, 129)(7, 109)(8, 135)(9, 119)(10, 132)(11, 110)(12, 143)(13, 123)(14, 147)(15, 111)(16, 150)(17, 128)(18, 122)(19, 140)(20, 113)(21, 131)(22, 152)(23, 114)(24, 139)(25, 151)(26, 157)(27, 136)(28, 116)(29, 142)(30, 149)(31, 118)(32, 154)(33, 124)(34, 155)(35, 145)(36, 162)(37, 120)(38, 153)(39, 126)(40, 144)(41, 161)(42, 141)(43, 158)(44, 156)(45, 160)(46, 127)(47, 137)(48, 130)(49, 159)(50, 133)(51, 134)(52, 146)(53, 138)(54, 148)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.971
Graph:: simple bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.961 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (R * Y1)^2, (Y3^-1, Y1^-1), (R * Y3)^2, (Y1^-1 * Y2)^2, Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1, R * Y2 * Y1 * R * Y2^-1, Y2^3 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-3 * Y1^-1 * Y2^-1 * Y1^-1, Y2^6, (Y2^-1 * R * Y2^-1)^2, Y3 * Y2 * Y3^-1 * Y1 * Y2^-1 * Y1^-1, Y3 * Y2^2 * Y3^-1 * Y2^-2 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 10, 64)(4, 58, 9, 63, 17, 71)(6, 60, 19, 73, 23, 77)(7, 61, 11, 65, 21, 75)(8, 62, 28, 82, 20, 74)(13, 67, 29, 83, 38, 92)(14, 68, 18, 72, 32, 86)(15, 69, 35, 89, 34, 88)(16, 70, 30, 84, 31, 85)(22, 76, 47, 101, 45, 99)(24, 78, 33, 87, 37, 91)(25, 79, 36, 90, 26, 80)(27, 81, 48, 102, 44, 98)(39, 93, 42, 96, 53, 107)(40, 94, 51, 105, 50, 104)(41, 95, 52, 106, 46, 100)(43, 97, 49, 103, 54, 108)(109, 163, 111, 165, 121, 175, 136, 190, 132, 186, 114, 168)(110, 164, 116, 170, 137, 191, 131, 185, 141, 195, 118, 172)(112, 166, 124, 178, 147, 201, 155, 209, 154, 208, 126, 180)(113, 167, 127, 181, 146, 200, 120, 174, 145, 199, 128, 182)(115, 169, 134, 188, 148, 202, 142, 196, 157, 211, 135, 189)(117, 171, 130, 184, 150, 204, 122, 176, 149, 203, 139, 193)(119, 173, 143, 197, 159, 213, 152, 206, 162, 216, 144, 198)(123, 177, 129, 183, 156, 210, 158, 212, 133, 187, 151, 205)(125, 179, 140, 194, 161, 215, 138, 192, 160, 214, 153, 207)
	L = (1, 112)(2, 117)(3, 122)(4, 115)(5, 125)(6, 130)(7, 109)(8, 138)(9, 119)(10, 140)(11, 110)(12, 126)(13, 147)(14, 123)(15, 111)(16, 152)(17, 129)(18, 143)(19, 155)(20, 124)(21, 113)(22, 133)(23, 153)(24, 154)(25, 114)(26, 131)(27, 116)(28, 139)(29, 150)(30, 135)(31, 156)(32, 142)(33, 149)(34, 118)(35, 120)(36, 127)(37, 160)(38, 161)(39, 148)(40, 121)(41, 162)(42, 159)(43, 145)(44, 128)(45, 134)(46, 157)(47, 144)(48, 136)(49, 132)(50, 146)(51, 137)(52, 151)(53, 158)(54, 141)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.968
Graph:: simple bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.962 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, (Y3^-1, Y1), (Y2 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y2 * R * Y2^-1 * R, Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3, Y2^6, Y3 * Y2^2 * Y3^-1 * Y2^-2, Y2 * Y1 * Y2^-3 * Y1, Y1 * Y2 * Y1 * Y2^3, Y1^-1 * Y2^-1 * Y1 * Y3 * Y2 * Y3^-1, (Y3 * Y2^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 10, 64)(4, 58, 9, 63, 17, 71)(6, 60, 19, 73, 23, 77)(7, 61, 11, 65, 21, 75)(8, 62, 28, 82, 20, 74)(13, 67, 29, 83, 38, 92)(14, 68, 31, 85, 33, 87)(15, 69, 27, 81, 35, 89)(16, 70, 22, 76, 32, 86)(18, 72, 45, 99, 46, 100)(24, 78, 34, 88, 37, 91)(25, 79, 48, 102, 44, 98)(26, 80, 30, 84, 36, 90)(39, 93, 51, 105, 49, 103)(40, 94, 43, 97, 53, 107)(41, 95, 47, 101, 54, 108)(42, 96, 52, 106, 50, 104)(109, 163, 111, 165, 121, 175, 136, 190, 132, 186, 114, 168)(110, 164, 116, 170, 137, 191, 131, 185, 142, 196, 118, 172)(112, 166, 124, 178, 147, 201, 141, 195, 155, 209, 126, 180)(113, 167, 127, 181, 146, 200, 120, 174, 145, 199, 128, 182)(115, 169, 134, 188, 148, 202, 156, 210, 158, 212, 135, 189)(117, 171, 139, 193, 159, 213, 154, 208, 162, 216, 140, 194)(119, 173, 133, 187, 151, 205, 123, 177, 150, 204, 144, 198)(122, 176, 125, 179, 153, 207, 157, 211, 130, 184, 149, 203)(129, 183, 143, 197, 161, 215, 138, 192, 160, 214, 152, 206)
	L = (1, 112)(2, 117)(3, 122)(4, 115)(5, 125)(6, 130)(7, 109)(8, 126)(9, 119)(10, 141)(11, 110)(12, 139)(13, 147)(14, 123)(15, 111)(16, 152)(17, 129)(18, 138)(19, 140)(20, 154)(21, 113)(22, 133)(23, 124)(24, 155)(25, 114)(26, 128)(27, 120)(28, 153)(29, 159)(30, 116)(31, 135)(32, 156)(33, 143)(34, 162)(35, 118)(36, 136)(37, 149)(38, 157)(39, 148)(40, 121)(41, 160)(42, 142)(43, 137)(44, 131)(45, 144)(46, 134)(47, 158)(48, 127)(49, 161)(50, 132)(51, 151)(52, 145)(53, 146)(54, 150)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.957
Graph:: simple bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.963 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (R * Y1)^2, (Y2^-1 * Y1^-1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), Y1^-1 * Y2 * R * Y2^-1 * R, Y3^-1 * Y2^-1 * Y1 * Y3 * Y2^-1, Y2^6, Y3 * Y2^2 * Y3^-1 * Y2^-2, Y2 * Y1^-1 * Y2^-3 * Y1^-1, (Y3 * Y2^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 15, 69)(4, 58, 9, 63, 18, 72)(6, 60, 22, 76, 8, 62)(7, 61, 11, 65, 21, 75)(10, 64, 32, 86, 20, 74)(13, 67, 28, 82, 40, 94)(14, 68, 37, 91, 42, 96)(16, 70, 35, 89, 27, 81)(17, 71, 29, 83, 23, 77)(19, 73, 33, 87, 31, 85)(24, 78, 34, 88, 38, 92)(25, 79, 36, 90, 30, 84)(26, 80, 48, 102, 46, 100)(39, 93, 49, 103, 53, 107)(41, 95, 51, 105, 45, 99)(43, 97, 52, 106, 47, 101)(44, 98, 50, 104, 54, 108)(109, 163, 111, 165, 121, 175, 140, 194, 132, 186, 114, 168)(110, 164, 116, 170, 136, 190, 123, 177, 142, 196, 118, 172)(112, 166, 125, 179, 147, 201, 145, 199, 155, 209, 127, 181)(113, 167, 128, 182, 148, 202, 130, 184, 146, 200, 120, 174)(115, 169, 134, 188, 149, 203, 138, 192, 158, 212, 135, 189)(117, 171, 139, 193, 157, 211, 131, 185, 151, 205, 122, 176)(119, 173, 143, 197, 159, 213, 154, 208, 162, 216, 144, 198)(124, 178, 152, 206, 156, 210, 129, 183, 133, 187, 153, 207)(126, 180, 150, 204, 161, 215, 141, 195, 160, 214, 137, 191)
	L = (1, 112)(2, 117)(3, 122)(4, 115)(5, 126)(6, 131)(7, 109)(8, 137)(9, 119)(10, 141)(11, 110)(12, 145)(13, 147)(14, 124)(15, 150)(16, 111)(17, 144)(18, 129)(19, 154)(20, 127)(21, 113)(22, 125)(23, 133)(24, 155)(25, 114)(26, 118)(27, 123)(28, 157)(29, 138)(30, 116)(31, 156)(32, 139)(33, 134)(34, 151)(35, 120)(36, 130)(37, 143)(38, 160)(39, 149)(40, 161)(41, 121)(42, 135)(43, 162)(44, 146)(45, 148)(46, 128)(47, 158)(48, 140)(49, 159)(50, 132)(51, 136)(52, 152)(53, 153)(54, 142)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.964 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (R * Y1)^2, (Y2 * Y1)^2, (Y1, Y3), (R * Y3)^2, Y1^-1 * Y2 * Y3^-1 * Y2 * Y3, Y2 * Y1^-1 * R * Y2^-1 * R, Y1^-1 * Y2 * Y1^-1 * Y2^3, Y1^-1 * Y2 * Y1 * Y3 * Y2^-1 * Y3^-1, Y3 * Y2^2 * Y3^-1 * Y2^-2, Y2 * Y1^-1 * Y2^-3 * Y1^-1, Y2^-1 * Y1^-1 * Y2^2 * Y3 * Y2 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 15, 69)(4, 58, 9, 63, 18, 72)(6, 60, 22, 76, 8, 62)(7, 61, 11, 65, 21, 75)(10, 64, 33, 87, 20, 74)(13, 67, 28, 82, 40, 94)(14, 68, 31, 85, 19, 73)(16, 70, 38, 92, 44, 98)(17, 71, 46, 100, 47, 101)(23, 77, 32, 86, 29, 83)(24, 78, 34, 88, 37, 91)(25, 79, 26, 80, 30, 84)(27, 81, 35, 89, 36, 90)(39, 93, 51, 105, 43, 97)(41, 95, 50, 104, 54, 108)(42, 96, 48, 102, 53, 107)(45, 99, 52, 106, 49, 103)(109, 163, 111, 165, 121, 175, 141, 195, 132, 186, 114, 168)(110, 164, 116, 170, 136, 190, 123, 177, 142, 196, 118, 172)(112, 166, 125, 179, 147, 201, 137, 191, 156, 210, 127, 181)(113, 167, 128, 182, 148, 202, 130, 184, 145, 199, 120, 174)(115, 169, 134, 188, 149, 203, 146, 200, 157, 211, 135, 189)(117, 171, 139, 193, 159, 213, 155, 209, 161, 215, 140, 194)(119, 173, 144, 198, 158, 212, 133, 187, 153, 207, 124, 178)(122, 176, 150, 204, 154, 208, 126, 180, 131, 185, 151, 205)(129, 183, 152, 206, 162, 216, 143, 197, 160, 214, 138, 192)
	L = (1, 112)(2, 117)(3, 122)(4, 115)(5, 126)(6, 131)(7, 109)(8, 137)(9, 119)(10, 125)(11, 110)(12, 139)(13, 147)(14, 124)(15, 127)(16, 111)(17, 143)(18, 129)(19, 152)(20, 155)(21, 113)(22, 140)(23, 133)(24, 156)(25, 114)(26, 130)(27, 128)(28, 159)(29, 138)(30, 116)(31, 146)(32, 134)(33, 154)(34, 161)(35, 118)(36, 141)(37, 150)(38, 120)(39, 149)(40, 151)(41, 121)(42, 160)(43, 162)(44, 123)(45, 142)(46, 144)(47, 135)(48, 157)(49, 132)(50, 136)(51, 158)(52, 145)(53, 153)(54, 148)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.952
Graph:: simple bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.965 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, Y1^3, (R * Y1)^2, (R * Y3)^2, Y2^2 * Y1^-1 * Y2^-2 * Y1, (R * Y2 * Y3^-1)^2, (Y2^-1 * R * Y2^-1)^2, Y2^-1 * Y3 * Y2^2 * Y3^-1 * Y2^-1, Y2 * Y1 * Y2^-2 * Y1^-1 * Y2, Y2^6, (Y3^-1 * Y1^-1)^3, Y2^-1 * Y1^-1 * Y2 * Y3 * Y2^-1 * Y1 * Y2 * Y1^-1, (Y3 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 4, 58)(3, 57, 8, 62, 10, 64)(5, 59, 13, 67, 14, 68)(6, 60, 16, 70, 18, 72)(7, 61, 19, 73, 20, 74)(9, 63, 17, 71, 25, 79)(11, 65, 28, 82, 29, 83)(12, 66, 30, 84, 31, 85)(15, 69, 21, 75, 32, 86)(22, 76, 35, 89, 43, 97)(23, 77, 36, 90, 44, 98)(24, 78, 42, 96, 45, 99)(26, 80, 38, 92, 47, 101)(27, 81, 39, 93, 48, 102)(33, 87, 40, 94, 49, 103)(34, 88, 41, 95, 50, 104)(37, 91, 51, 105, 52, 106)(46, 100, 53, 107, 54, 108)(109, 163, 111, 165, 117, 171, 132, 186, 123, 177, 113, 167)(110, 164, 114, 168, 125, 179, 145, 199, 129, 183, 115, 169)(112, 166, 119, 173, 133, 187, 154, 208, 140, 194, 120, 174)(116, 170, 130, 184, 150, 204, 141, 195, 121, 175, 131, 185)(118, 172, 134, 188, 153, 207, 142, 196, 122, 176, 135, 189)(124, 178, 143, 197, 159, 213, 148, 202, 127, 181, 144, 198)(126, 180, 146, 200, 160, 214, 149, 203, 128, 182, 147, 201)(136, 190, 151, 205, 161, 215, 157, 211, 138, 192, 152, 206)(137, 191, 155, 209, 162, 216, 158, 212, 139, 193, 156, 210)
	L = (1, 110)(2, 112)(3, 116)(4, 109)(5, 121)(6, 124)(7, 127)(8, 118)(9, 125)(10, 111)(11, 136)(12, 138)(13, 122)(14, 113)(15, 129)(16, 126)(17, 133)(18, 114)(19, 128)(20, 115)(21, 140)(22, 143)(23, 144)(24, 150)(25, 117)(26, 146)(27, 147)(28, 137)(29, 119)(30, 139)(31, 120)(32, 123)(33, 148)(34, 149)(35, 151)(36, 152)(37, 159)(38, 155)(39, 156)(40, 157)(41, 158)(42, 153)(43, 130)(44, 131)(45, 132)(46, 161)(47, 134)(48, 135)(49, 141)(50, 142)(51, 160)(52, 145)(53, 162)(54, 154)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.966 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, Y2^-1 * Y3 * Y2 * Y1^-1, (R * Y3)^2, Y1 * Y2 * Y3^-1 * Y2^-1, (R * Y1)^2, (Y3^-1, Y1^-1), (R * Y2 * Y3^-1)^2, Y2^6, Y3 * Y1 * Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 14, 68)(4, 58, 9, 63, 16, 70)(6, 60, 17, 71, 20, 74)(7, 61, 11, 65, 19, 73)(8, 62, 22, 76, 24, 78)(10, 64, 25, 79, 26, 80)(13, 67, 23, 77, 31, 85)(15, 69, 29, 83, 33, 87)(18, 72, 34, 88, 36, 90)(21, 75, 27, 81, 37, 91)(28, 82, 39, 93, 45, 99)(30, 84, 44, 98, 46, 100)(32, 86, 41, 95, 48, 102)(35, 89, 42, 96, 49, 103)(38, 92, 43, 97, 50, 104)(40, 94, 51, 105, 52, 106)(47, 101, 53, 107, 54, 108)(109, 163, 111, 165, 121, 175, 138, 192, 129, 183, 114, 168)(110, 164, 116, 170, 131, 185, 148, 202, 135, 189, 118, 172)(112, 166, 120, 174, 136, 190, 152, 206, 143, 197, 125, 179)(113, 167, 123, 177, 139, 193, 155, 209, 145, 199, 126, 180)(115, 169, 122, 176, 140, 194, 154, 208, 146, 200, 128, 182)(117, 171, 130, 184, 147, 201, 159, 213, 150, 204, 133, 187)(119, 173, 132, 186, 149, 203, 160, 214, 151, 205, 134, 188)(124, 178, 137, 191, 153, 207, 161, 215, 157, 211, 142, 196)(127, 181, 141, 195, 156, 210, 162, 216, 158, 212, 144, 198)
	L = (1, 112)(2, 117)(3, 116)(4, 115)(5, 124)(6, 118)(7, 109)(8, 123)(9, 119)(10, 126)(11, 110)(12, 130)(13, 136)(14, 132)(15, 111)(16, 127)(17, 133)(18, 114)(19, 113)(20, 134)(21, 143)(22, 137)(23, 147)(24, 141)(25, 142)(26, 144)(27, 150)(28, 140)(29, 120)(30, 148)(31, 153)(32, 121)(33, 122)(34, 125)(35, 146)(36, 128)(37, 157)(38, 129)(39, 149)(40, 155)(41, 131)(42, 151)(43, 135)(44, 159)(45, 156)(46, 160)(47, 138)(48, 139)(49, 158)(50, 145)(51, 161)(52, 162)(53, 152)(54, 154)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.953
Graph:: simple bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.967 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, Y2 * Y3 * Y2^-1 * Y1, (Y3^-1, Y1^-1), Y2^-1 * Y3^-1 * Y2 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y2^6, R * Y1 * Y2 * R * Y2 * Y3^-1, (Y2^-1 * Y1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 15, 69)(4, 58, 9, 63, 16, 70)(6, 60, 20, 74, 17, 71)(7, 61, 11, 65, 19, 73)(8, 62, 22, 76, 24, 78)(10, 64, 26, 80, 25, 79)(13, 67, 23, 77, 32, 86)(14, 68, 29, 83, 33, 87)(18, 72, 36, 90, 34, 88)(21, 75, 27, 81, 37, 91)(28, 82, 39, 93, 45, 99)(30, 84, 44, 98, 47, 101)(31, 85, 41, 95, 48, 102)(35, 89, 42, 96, 49, 103)(38, 92, 43, 97, 50, 104)(40, 94, 51, 105, 52, 106)(46, 100, 53, 107, 54, 108)(109, 163, 111, 165, 121, 175, 138, 192, 129, 183, 114, 168)(110, 164, 116, 170, 131, 185, 148, 202, 135, 189, 118, 172)(112, 166, 123, 177, 139, 193, 155, 209, 143, 197, 125, 179)(113, 167, 122, 176, 140, 194, 154, 208, 145, 199, 126, 180)(115, 169, 120, 174, 136, 190, 152, 206, 146, 200, 128, 182)(117, 171, 132, 186, 149, 203, 160, 214, 150, 204, 133, 187)(119, 173, 130, 184, 147, 201, 159, 213, 151, 205, 134, 188)(124, 178, 141, 195, 156, 210, 162, 216, 157, 211, 142, 196)(127, 181, 137, 191, 153, 207, 161, 215, 158, 212, 144, 198)
	L = (1, 112)(2, 117)(3, 122)(4, 115)(5, 124)(6, 126)(7, 109)(8, 111)(9, 119)(10, 114)(11, 110)(12, 137)(13, 139)(14, 116)(15, 141)(16, 127)(17, 142)(18, 118)(19, 113)(20, 144)(21, 143)(22, 120)(23, 149)(24, 123)(25, 125)(26, 128)(27, 150)(28, 121)(29, 130)(30, 154)(31, 136)(32, 156)(33, 132)(34, 133)(35, 146)(36, 134)(37, 157)(38, 129)(39, 131)(40, 138)(41, 147)(42, 151)(43, 135)(44, 161)(45, 140)(46, 148)(47, 162)(48, 153)(49, 158)(50, 145)(51, 152)(52, 155)(53, 159)(54, 160)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.955
Graph:: simple bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.968 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, Y3 * Y2^-2 * Y1^-1, Y2^-2 * Y3 * Y1^-1, (Y3^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y1, Y2^-1 * R * Y3^-1 * Y1 * R * Y2^-1, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y3^-1 * Y2 * Y3 * Y2 * Y1 * Y2 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 15, 69)(4, 58, 9, 63, 13, 67)(6, 60, 21, 75, 16, 70)(7, 61, 11, 65, 20, 74)(8, 62, 24, 78, 26, 80)(10, 64, 28, 82, 27, 81)(14, 68, 22, 76, 30, 84)(17, 71, 25, 79, 29, 83)(18, 72, 37, 91, 39, 93)(19, 73, 41, 95, 40, 94)(23, 77, 38, 92, 42, 96)(31, 85, 43, 97, 49, 103)(32, 86, 44, 98, 50, 104)(33, 87, 45, 99, 51, 105)(34, 88, 46, 100, 52, 106)(35, 89, 47, 101, 53, 107)(36, 90, 48, 102, 54, 108)(109, 163, 111, 165, 121, 175, 138, 192, 119, 173, 114, 168)(110, 164, 116, 170, 112, 166, 125, 179, 128, 182, 118, 172)(113, 167, 126, 180, 117, 171, 131, 185, 115, 169, 127, 181)(120, 174, 139, 193, 122, 176, 141, 195, 129, 183, 140, 194)(123, 177, 142, 196, 130, 184, 144, 198, 124, 178, 143, 197)(132, 186, 151, 205, 133, 187, 153, 207, 136, 190, 152, 206)(134, 188, 154, 208, 137, 191, 156, 210, 135, 189, 155, 209)(145, 199, 157, 211, 146, 200, 159, 213, 149, 203, 158, 212)(147, 201, 160, 214, 150, 204, 162, 216, 148, 202, 161, 215)
	L = (1, 112)(2, 117)(3, 122)(4, 115)(5, 121)(6, 120)(7, 109)(8, 133)(9, 119)(10, 132)(11, 110)(12, 130)(13, 128)(14, 124)(15, 138)(16, 111)(17, 136)(18, 146)(19, 145)(20, 113)(21, 123)(22, 114)(23, 149)(24, 137)(25, 135)(26, 125)(27, 116)(28, 134)(29, 118)(30, 129)(31, 153)(32, 151)(33, 152)(34, 156)(35, 154)(36, 155)(37, 150)(38, 148)(39, 131)(40, 126)(41, 147)(42, 127)(43, 159)(44, 157)(45, 158)(46, 162)(47, 160)(48, 161)(49, 141)(50, 139)(51, 140)(52, 144)(53, 142)(54, 143)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.961
Graph:: bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.969 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, Y2 * Y3^-1 * Y2 * Y1, (Y3, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y2 * Y3 * Y2^-3 * Y1^-1, Y2^-1 * Y3^-1 * Y1^-1 * Y2 * Y3 * Y1, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2 * Y3 * Y2^3, (Y2 * Y3 * Y1^-1)^2, (Y2 * R * Y3^-1 * Y2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 15, 69)(4, 58, 9, 63, 18, 72)(6, 60, 21, 75, 22, 76)(7, 61, 11, 65, 20, 74)(8, 62, 26, 80, 28, 82)(10, 64, 30, 84, 31, 85)(13, 67, 27, 81, 38, 92)(14, 68, 29, 83, 34, 88)(16, 70, 36, 90, 41, 95)(17, 71, 25, 79, 33, 87)(19, 73, 43, 97, 45, 99)(23, 77, 32, 86, 42, 96)(24, 78, 44, 98, 46, 100)(35, 89, 47, 101, 51, 105)(37, 91, 48, 102, 52, 106)(39, 93, 49, 103, 53, 107)(40, 94, 50, 104, 54, 108)(109, 163, 111, 165, 121, 175, 141, 195, 131, 185, 114, 168)(110, 164, 116, 170, 135, 189, 122, 176, 140, 194, 118, 172)(112, 166, 125, 179, 145, 199, 129, 183, 143, 197, 120, 174)(113, 167, 127, 181, 146, 200, 132, 186, 150, 204, 124, 178)(115, 169, 130, 184, 147, 201, 123, 177, 148, 202, 133, 187)(117, 171, 137, 191, 156, 210, 138, 192, 155, 209, 134, 188)(119, 173, 139, 193, 157, 211, 136, 190, 158, 212, 142, 196)(126, 180, 152, 206, 160, 214, 144, 198, 159, 213, 151, 205)(128, 182, 149, 203, 161, 215, 153, 207, 162, 216, 154, 208)
	L = (1, 112)(2, 117)(3, 122)(4, 115)(5, 126)(6, 116)(7, 109)(8, 132)(9, 119)(10, 127)(11, 110)(12, 137)(13, 145)(14, 124)(15, 142)(16, 111)(17, 138)(18, 128)(19, 141)(20, 113)(21, 134)(22, 136)(23, 143)(24, 114)(25, 139)(26, 152)(27, 156)(28, 154)(29, 144)(30, 151)(31, 153)(32, 155)(33, 118)(34, 149)(35, 148)(36, 120)(37, 147)(38, 160)(39, 121)(40, 131)(41, 123)(42, 159)(43, 125)(44, 129)(45, 133)(46, 130)(47, 158)(48, 157)(49, 135)(50, 140)(51, 162)(52, 161)(53, 146)(54, 150)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.951
Graph:: simple bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.970 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, Y2^-1 * Y3 * Y2^-1 * Y1, (Y3^-1, Y1), (R * Y1)^2, (R * Y3)^2, (Y1 * Y2 * Y3)^2, Y3 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2^3 * Y3^-1 * Y2^-1 * Y1^-1, (Y2^-1 * Y1^-1 * R)^2, Y2^-2 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1, Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 15, 69)(4, 58, 9, 63, 17, 71)(6, 60, 21, 75, 22, 76)(7, 61, 11, 65, 20, 74)(8, 62, 26, 80, 29, 83)(10, 64, 31, 85, 32, 86)(13, 67, 27, 81, 39, 93)(14, 68, 36, 90, 41, 95)(16, 70, 28, 82, 25, 79)(18, 72, 45, 99, 44, 98)(19, 73, 46, 100, 43, 97)(23, 77, 33, 87, 40, 94)(24, 78, 34, 88, 30, 84)(35, 89, 47, 101, 51, 105)(37, 91, 48, 102, 52, 106)(38, 92, 49, 103, 53, 107)(42, 96, 50, 104, 54, 108)(109, 163, 111, 165, 121, 175, 136, 190, 131, 185, 114, 168)(110, 164, 116, 170, 135, 189, 132, 186, 141, 195, 118, 172)(112, 166, 124, 178, 146, 200, 130, 184, 150, 204, 123, 177)(113, 167, 126, 180, 147, 201, 122, 176, 148, 202, 127, 181)(115, 169, 129, 183, 145, 199, 120, 174, 143, 197, 133, 187)(117, 171, 138, 192, 157, 211, 140, 194, 158, 212, 137, 191)(119, 173, 139, 193, 156, 210, 134, 188, 155, 209, 142, 196)(125, 179, 149, 203, 161, 215, 151, 205, 162, 216, 152, 206)(128, 182, 154, 208, 160, 214, 153, 207, 159, 213, 144, 198)
	L = (1, 112)(2, 117)(3, 122)(4, 115)(5, 125)(6, 126)(7, 109)(8, 136)(9, 119)(10, 111)(11, 110)(12, 144)(13, 146)(14, 118)(15, 149)(16, 151)(17, 128)(18, 132)(19, 116)(20, 113)(21, 153)(22, 152)(23, 150)(24, 114)(25, 154)(26, 133)(27, 157)(28, 127)(29, 124)(30, 130)(31, 120)(32, 123)(33, 158)(34, 129)(35, 131)(36, 139)(37, 121)(38, 145)(39, 161)(40, 162)(41, 140)(42, 143)(43, 137)(44, 138)(45, 142)(46, 134)(47, 141)(48, 135)(49, 156)(50, 155)(51, 148)(52, 147)(53, 160)(54, 159)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.974
Graph:: simple bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.971 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, Y2 * Y3^-1 * Y1^-1 * Y2, (R * Y3^-1)^2, (Y1^-1, Y3^-1), (R * Y1)^2, Y3^-1 * Y2^2 * Y1^-1, Y2^-1 * R * Y1^-1 * Y3^-1 * R * Y2^-1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2^-1 * Y1 * Y2^2 * Y3 * Y2^-1 * Y1^-1, Y3 * Y2^2 * Y1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1, Y2 * Y1^-1 * Y2 * Y3^-1 * Y2 * Y1 * Y2^-1 * Y1^-1, Y2 * Y3 * Y2^-1 * Y1^-1 * Y2 * Y3^-1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 14, 68)(4, 58, 9, 63, 17, 71)(6, 60, 15, 69, 21, 75)(7, 61, 11, 65, 20, 74)(8, 62, 24, 78, 26, 80)(10, 64, 27, 81, 29, 83)(13, 67, 28, 82, 22, 76)(16, 70, 37, 91, 39, 93)(18, 72, 40, 94, 41, 95)(19, 73, 42, 96, 38, 92)(23, 77, 30, 84, 25, 79)(31, 85, 43, 97, 50, 104)(32, 86, 44, 98, 51, 105)(33, 87, 45, 99, 53, 107)(34, 88, 46, 100, 54, 108)(35, 89, 47, 101, 52, 106)(36, 90, 48, 102, 49, 103)(109, 163, 111, 165, 117, 171, 136, 190, 128, 182, 114, 168)(110, 164, 116, 170, 125, 179, 131, 185, 115, 169, 118, 172)(112, 166, 124, 178, 119, 173, 127, 181, 113, 167, 126, 180)(120, 174, 139, 193, 130, 184, 144, 198, 123, 177, 140, 194)(121, 175, 141, 195, 129, 183, 143, 197, 122, 176, 142, 196)(132, 186, 151, 205, 138, 192, 156, 210, 135, 189, 152, 206)(133, 187, 153, 207, 137, 191, 155, 209, 134, 188, 154, 208)(145, 199, 157, 211, 150, 204, 159, 213, 148, 202, 158, 212)(146, 200, 160, 214, 149, 203, 162, 216, 147, 201, 161, 215)
	L = (1, 112)(2, 117)(3, 121)(4, 115)(5, 125)(6, 122)(7, 109)(8, 133)(9, 119)(10, 134)(11, 110)(12, 136)(13, 123)(14, 130)(15, 111)(16, 146)(17, 128)(18, 147)(19, 149)(20, 113)(21, 120)(22, 114)(23, 137)(24, 131)(25, 135)(26, 138)(27, 116)(28, 129)(29, 132)(30, 118)(31, 157)(32, 158)(33, 160)(34, 161)(35, 162)(36, 159)(37, 127)(38, 148)(39, 150)(40, 124)(41, 145)(42, 126)(43, 144)(44, 139)(45, 143)(46, 141)(47, 142)(48, 140)(49, 152)(50, 156)(51, 151)(52, 154)(53, 155)(54, 153)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.960
Graph:: bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.972 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, (Y3^-1, Y1), (R * Y3)^2, (R * Y1)^2, Y2 * Y3^-1 * Y2^-3 * Y1^-1, Y2^-1 * Y1 * Y3 * Y2^-1 * Y3 * Y1, Y1^-1 * Y2 * Y3^-1 * Y2^3, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^2 * Y1^-1 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 15, 69)(4, 58, 9, 63, 18, 72)(6, 60, 22, 76, 17, 71)(7, 61, 11, 65, 21, 75)(8, 62, 26, 80, 28, 82)(10, 64, 31, 85, 29, 83)(13, 67, 27, 81, 38, 92)(14, 68, 35, 89, 40, 94)(16, 70, 34, 88, 30, 84)(19, 73, 32, 86, 25, 79)(20, 74, 45, 99, 44, 98)(23, 77, 46, 100, 43, 97)(24, 78, 33, 87, 41, 95)(36, 90, 47, 101, 51, 105)(37, 91, 48, 102, 53, 107)(39, 93, 49, 103, 52, 106)(42, 96, 50, 104, 54, 108)(109, 163, 111, 165, 121, 175, 140, 194, 132, 186, 114, 168)(110, 164, 116, 170, 135, 189, 124, 178, 141, 195, 118, 172)(112, 166, 125, 179, 145, 199, 123, 177, 150, 204, 127, 181)(113, 167, 128, 182, 146, 200, 131, 185, 149, 203, 122, 176)(115, 169, 133, 187, 147, 201, 130, 184, 144, 198, 120, 174)(117, 171, 137, 191, 156, 210, 136, 190, 158, 212, 138, 192)(119, 173, 142, 196, 157, 211, 139, 193, 155, 209, 134, 188)(126, 180, 148, 202, 161, 215, 152, 206, 162, 216, 151, 205)(129, 183, 154, 208, 160, 214, 143, 197, 159, 213, 153, 207)
	L = (1, 112)(2, 117)(3, 122)(4, 115)(5, 126)(6, 131)(7, 109)(8, 114)(9, 119)(10, 140)(11, 110)(12, 143)(13, 145)(14, 124)(15, 148)(16, 111)(17, 151)(18, 129)(19, 152)(20, 118)(21, 113)(22, 154)(23, 116)(24, 150)(25, 153)(26, 130)(27, 156)(28, 125)(29, 127)(30, 123)(31, 133)(32, 128)(33, 158)(34, 120)(35, 142)(36, 132)(37, 147)(38, 161)(39, 121)(40, 138)(41, 162)(42, 144)(43, 136)(44, 137)(45, 139)(46, 134)(47, 141)(48, 157)(49, 135)(50, 155)(51, 149)(52, 146)(53, 160)(54, 159)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.973 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, Y1 * Y2^2 * Y3, (Y1^-1, Y3^-1), Y2^-2 * Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y2^-1 * R * Y3 * Y1 * R * Y2^-1, R * Y2 * Y1 * R * Y2^-1 * Y3^-1, Y2^4 * Y3^-1 * Y1^-1, Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1 * Y2^-1, Y2 * R * Y2 * R * Y2 * Y1 * Y2^-1 * Y1^-1, Y2^-1 * Y1^-1 * Y2 * Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 15, 69)(4, 58, 9, 63, 18, 72)(6, 60, 21, 75, 14, 68)(7, 61, 11, 65, 13, 67)(8, 62, 24, 78, 26, 80)(10, 64, 29, 83, 25, 79)(16, 70, 22, 76, 28, 82)(17, 71, 37, 91, 39, 93)(19, 73, 41, 95, 38, 92)(20, 74, 40, 94, 42, 96)(23, 77, 27, 81, 30, 84)(31, 85, 43, 97, 50, 104)(32, 86, 44, 98, 49, 103)(33, 87, 45, 99, 53, 107)(34, 88, 46, 100, 52, 106)(35, 89, 47, 101, 54, 108)(36, 90, 48, 102, 51, 105)(109, 163, 111, 165, 121, 175, 136, 190, 117, 171, 114, 168)(110, 164, 116, 170, 115, 169, 131, 185, 126, 180, 118, 172)(112, 166, 125, 179, 113, 167, 128, 182, 119, 173, 127, 181)(120, 174, 139, 193, 124, 178, 144, 198, 129, 183, 140, 194)(122, 176, 141, 195, 123, 177, 143, 197, 130, 184, 142, 196)(132, 186, 151, 205, 135, 189, 156, 210, 137, 191, 152, 206)(133, 187, 153, 207, 134, 188, 155, 209, 138, 192, 154, 208)(145, 199, 157, 211, 148, 202, 158, 212, 149, 203, 159, 213)(146, 200, 160, 214, 147, 201, 161, 215, 150, 204, 162, 216)
	L = (1, 112)(2, 117)(3, 122)(4, 115)(5, 126)(6, 130)(7, 109)(8, 133)(9, 119)(10, 138)(11, 110)(12, 114)(13, 113)(14, 124)(15, 129)(16, 111)(17, 146)(18, 121)(19, 150)(20, 147)(21, 136)(22, 120)(23, 134)(24, 118)(25, 135)(26, 137)(27, 116)(28, 123)(29, 131)(30, 132)(31, 157)(32, 159)(33, 160)(34, 162)(35, 161)(36, 158)(37, 127)(38, 148)(39, 149)(40, 125)(41, 128)(42, 145)(43, 140)(44, 144)(45, 142)(46, 143)(47, 141)(48, 139)(49, 156)(50, 152)(51, 151)(52, 155)(53, 154)(54, 153)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.959
Graph:: bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.974 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, Y2 * Y3 * Y1^-1 * Y2, (Y1^-1, Y3), (R * Y1)^2, (R * Y3)^2, Y2 * Y1^-1 * Y3 * Y2, (R * Y2 * Y3^-1)^2, Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y3^-1, Y2^-1 * R * Y1^-1 * Y3 * R * Y2^-1, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y1^-1, Y2 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^2 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 14, 68)(4, 58, 9, 63, 16, 70)(6, 60, 13, 67, 22, 76)(7, 61, 11, 65, 20, 74)(8, 62, 24, 78, 26, 80)(10, 64, 25, 79, 29, 83)(15, 69, 30, 84, 21, 75)(17, 71, 28, 82, 27, 81)(18, 72, 37, 91, 39, 93)(19, 73, 38, 92, 42, 96)(23, 77, 41, 95, 40, 94)(31, 85, 43, 97, 49, 103)(32, 86, 44, 98, 51, 105)(33, 87, 45, 99, 50, 104)(34, 88, 46, 100, 52, 106)(35, 89, 47, 101, 54, 108)(36, 90, 48, 102, 53, 107)(109, 163, 111, 165, 119, 173, 138, 192, 124, 178, 114, 168)(110, 164, 116, 170, 128, 182, 125, 179, 112, 166, 118, 172)(113, 167, 126, 180, 115, 169, 131, 185, 117, 171, 127, 181)(120, 174, 139, 193, 129, 183, 141, 195, 121, 175, 140, 194)(122, 176, 142, 196, 123, 177, 144, 198, 130, 184, 143, 197)(132, 186, 151, 205, 136, 190, 153, 207, 133, 187, 152, 206)(134, 188, 154, 208, 135, 189, 156, 210, 137, 191, 155, 209)(145, 199, 157, 211, 149, 203, 158, 212, 146, 200, 159, 213)(147, 201, 160, 214, 148, 202, 161, 215, 150, 204, 162, 216)
	L = (1, 112)(2, 117)(3, 121)(4, 115)(5, 124)(6, 129)(7, 109)(8, 133)(9, 119)(10, 136)(11, 110)(12, 130)(13, 123)(14, 114)(15, 111)(16, 128)(17, 132)(18, 146)(19, 149)(20, 113)(21, 122)(22, 138)(23, 145)(24, 137)(25, 135)(26, 118)(27, 116)(28, 134)(29, 125)(30, 120)(31, 152)(32, 153)(33, 151)(34, 155)(35, 156)(36, 154)(37, 150)(38, 148)(39, 127)(40, 126)(41, 147)(42, 131)(43, 159)(44, 158)(45, 157)(46, 162)(47, 161)(48, 160)(49, 140)(50, 139)(51, 141)(52, 143)(53, 142)(54, 144)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.970
Graph:: bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.975 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, (Y1^-1, Y3^-1), Y2^-1 * Y3^-1 * Y2^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^3 * Y3 * Y2^-1 * Y1^-1, Y2^6, Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y1 * Y3^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 14, 68)(4, 58, 9, 63, 17, 71)(6, 60, 16, 70, 23, 77)(7, 61, 11, 65, 21, 75)(8, 62, 26, 80, 28, 82)(10, 64, 30, 84, 32, 86)(13, 67, 27, 81, 38, 92)(15, 69, 37, 91, 41, 95)(18, 72, 25, 79, 29, 83)(19, 73, 43, 97, 45, 99)(20, 74, 44, 98, 46, 100)(22, 76, 31, 85, 34, 88)(24, 78, 33, 87, 42, 96)(35, 89, 47, 101, 51, 105)(36, 90, 48, 102, 52, 106)(39, 93, 49, 103, 53, 107)(40, 94, 50, 104, 54, 108)(109, 163, 111, 165, 121, 175, 137, 191, 132, 186, 114, 168)(110, 164, 116, 170, 135, 189, 130, 184, 141, 195, 118, 172)(112, 166, 124, 178, 144, 198, 120, 174, 143, 197, 126, 180)(113, 167, 127, 181, 146, 200, 123, 177, 150, 204, 128, 182)(115, 169, 133, 187, 147, 201, 131, 185, 148, 202, 122, 176)(117, 171, 138, 192, 156, 210, 134, 188, 155, 209, 139, 193)(119, 173, 142, 196, 157, 211, 140, 194, 158, 212, 136, 190)(125, 179, 152, 206, 160, 214, 151, 205, 159, 213, 145, 199)(129, 183, 149, 203, 161, 215, 154, 208, 162, 216, 153, 207)
	L = (1, 112)(2, 117)(3, 118)(4, 115)(5, 125)(6, 130)(7, 109)(8, 128)(9, 119)(10, 123)(11, 110)(12, 138)(13, 144)(14, 140)(15, 111)(16, 139)(17, 129)(18, 134)(19, 114)(20, 137)(21, 113)(22, 127)(23, 142)(24, 143)(25, 136)(26, 152)(27, 156)(28, 154)(29, 116)(30, 145)(31, 151)(32, 149)(33, 155)(34, 153)(35, 148)(36, 147)(37, 120)(38, 160)(39, 121)(40, 132)(41, 122)(42, 159)(43, 124)(44, 126)(45, 131)(46, 133)(47, 158)(48, 157)(49, 135)(50, 141)(51, 162)(52, 161)(53, 146)(54, 150)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.958
Graph:: simple bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.976 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x ((C3 x C3) : C2) (small group id <54, 13>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, Y3 * Y2^-1 * Y3 * Y2, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), Y2 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2^6 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 8, 62)(4, 58, 9, 63, 16, 70)(6, 60, 18, 72, 10, 64)(7, 61, 11, 65, 19, 73)(13, 67, 22, 76, 28, 82)(14, 68, 29, 83, 23, 77)(15, 69, 30, 84, 24, 78)(17, 71, 34, 88, 25, 79)(20, 74, 36, 90, 26, 80)(21, 75, 27, 81, 37, 91)(31, 85, 44, 98, 39, 93)(32, 86, 40, 94, 45, 99)(33, 87, 41, 95, 46, 100)(35, 89, 42, 96, 49, 103)(38, 92, 43, 97, 50, 104)(47, 101, 53, 107, 51, 105)(48, 102, 54, 108, 52, 106)(109, 163, 111, 165, 121, 175, 139, 193, 129, 183, 114, 168)(110, 164, 116, 170, 130, 184, 147, 201, 135, 189, 118, 172)(112, 166, 123, 177, 140, 194, 156, 210, 143, 197, 125, 179)(113, 167, 120, 174, 136, 190, 152, 206, 145, 199, 126, 180)(115, 169, 122, 176, 141, 195, 155, 209, 146, 200, 128, 182)(117, 171, 132, 186, 148, 202, 160, 214, 150, 204, 133, 187)(119, 173, 131, 185, 149, 203, 159, 213, 151, 205, 134, 188)(124, 178, 138, 192, 153, 207, 162, 216, 157, 211, 142, 196)(127, 181, 137, 191, 154, 208, 161, 215, 158, 212, 144, 198)
	L = (1, 112)(2, 117)(3, 122)(4, 115)(5, 124)(6, 128)(7, 109)(8, 131)(9, 119)(10, 134)(11, 110)(12, 137)(13, 140)(14, 123)(15, 111)(16, 127)(17, 114)(18, 144)(19, 113)(20, 125)(21, 143)(22, 148)(23, 132)(24, 116)(25, 118)(26, 133)(27, 150)(28, 153)(29, 138)(30, 120)(31, 155)(32, 141)(33, 121)(34, 126)(35, 146)(36, 142)(37, 157)(38, 129)(39, 159)(40, 149)(41, 130)(42, 151)(43, 135)(44, 161)(45, 154)(46, 136)(47, 156)(48, 139)(49, 158)(50, 145)(51, 160)(52, 147)(53, 162)(54, 152)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.977 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x ((C3 x C3) : C2) (small group id <54, 13>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, (Y3^-1, Y1^-1), (Y2 * Y1^-1)^2, Y3 * Y2^-1 * Y3 * Y2, (R * Y3)^2, (R * Y1)^2, Y2^6, Y2^-1 * Y1^-1 * Y2^-3 * Y1^-1, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 10, 64)(4, 58, 9, 63, 16, 70)(6, 60, 18, 72, 22, 76)(7, 61, 11, 65, 20, 74)(8, 62, 24, 78, 19, 73)(13, 67, 25, 79, 33, 87)(14, 68, 32, 86, 29, 83)(15, 69, 34, 88, 28, 82)(17, 71, 37, 91, 39, 93)(21, 75, 41, 95, 43, 97)(23, 77, 30, 84, 31, 85)(26, 80, 45, 99, 42, 96)(27, 81, 46, 100, 38, 92)(35, 89, 47, 101, 54, 108)(36, 90, 48, 102, 53, 107)(40, 94, 49, 103, 51, 105)(44, 98, 50, 104, 52, 106)(109, 163, 111, 165, 121, 175, 132, 186, 131, 185, 114, 168)(110, 164, 116, 170, 133, 187, 130, 184, 138, 192, 118, 172)(112, 166, 123, 177, 143, 197, 154, 208, 148, 202, 125, 179)(113, 167, 126, 180, 141, 195, 120, 174, 139, 193, 127, 181)(115, 169, 122, 176, 144, 198, 153, 207, 152, 206, 129, 183)(117, 171, 135, 189, 155, 209, 147, 201, 157, 211, 136, 190)(119, 173, 134, 188, 156, 210, 151, 205, 158, 212, 137, 191)(124, 178, 145, 199, 162, 216, 142, 196, 159, 213, 146, 200)(128, 182, 149, 203, 161, 215, 140, 194, 160, 214, 150, 204)
	L = (1, 112)(2, 117)(3, 122)(4, 115)(5, 124)(6, 129)(7, 109)(8, 134)(9, 119)(10, 137)(11, 110)(12, 140)(13, 143)(14, 123)(15, 111)(16, 128)(17, 114)(18, 149)(19, 150)(20, 113)(21, 125)(22, 151)(23, 148)(24, 153)(25, 155)(26, 135)(27, 116)(28, 118)(29, 136)(30, 157)(31, 159)(32, 142)(33, 162)(34, 120)(35, 144)(36, 121)(37, 126)(38, 127)(39, 130)(40, 152)(41, 145)(42, 146)(43, 147)(44, 131)(45, 154)(46, 132)(47, 156)(48, 133)(49, 158)(50, 138)(51, 160)(52, 139)(53, 141)(54, 161)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.978 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x ((C3 x C3) : C2) (small group id <54, 13>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (Y1 * R)^2, (R * Y3)^2, (Y1^-1 * Y2^-1)^2, Y3 * Y2^-1 * Y3 * Y2, (Y3, Y1), (Y2^-1 * Y3^-1 * Y1^-1)^2, Y2^-3 * Y1^-1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * Y2^3 * Y1^-1, Y2^6 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 15, 69)(4, 58, 9, 63, 17, 71)(6, 60, 21, 75, 8, 62)(7, 61, 11, 65, 20, 74)(10, 64, 28, 82, 19, 73)(13, 67, 24, 78, 35, 89)(14, 68, 31, 85, 37, 91)(16, 70, 33, 87, 38, 92)(18, 72, 40, 94, 26, 80)(22, 76, 43, 97, 25, 79)(23, 77, 30, 84, 32, 86)(27, 81, 47, 101, 39, 93)(29, 83, 49, 103, 42, 96)(34, 88, 45, 99, 53, 107)(36, 90, 46, 100, 54, 108)(41, 95, 48, 102, 52, 106)(44, 98, 50, 104, 51, 105)(109, 163, 111, 165, 121, 175, 136, 190, 131, 185, 114, 168)(110, 164, 116, 170, 132, 186, 123, 177, 138, 192, 118, 172)(112, 166, 124, 178, 142, 196, 155, 209, 149, 203, 126, 180)(113, 167, 127, 181, 143, 197, 129, 183, 140, 194, 120, 174)(115, 169, 122, 176, 144, 198, 157, 211, 152, 206, 130, 184)(117, 171, 134, 188, 153, 207, 146, 200, 156, 210, 135, 189)(119, 173, 133, 187, 154, 208, 145, 199, 158, 212, 137, 191)(125, 179, 147, 201, 161, 215, 148, 202, 160, 214, 141, 195)(128, 182, 150, 204, 162, 216, 151, 205, 159, 213, 139, 193)
	L = (1, 112)(2, 117)(3, 122)(4, 115)(5, 125)(6, 130)(7, 109)(8, 133)(9, 119)(10, 137)(11, 110)(12, 139)(13, 142)(14, 124)(15, 145)(16, 111)(17, 128)(18, 114)(19, 150)(20, 113)(21, 151)(22, 126)(23, 149)(24, 153)(25, 134)(26, 116)(27, 118)(28, 157)(29, 135)(30, 156)(31, 141)(32, 160)(33, 120)(34, 144)(35, 161)(36, 121)(37, 146)(38, 123)(39, 127)(40, 129)(41, 152)(42, 147)(43, 148)(44, 131)(45, 154)(46, 132)(47, 136)(48, 158)(49, 155)(50, 138)(51, 140)(52, 159)(53, 162)(54, 143)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.979 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x ((C3 x C3) : C2) (small group id <54, 13>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, Y2 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y3)^2, (Y3^-1 * Y2^-1)^2, (Y3, Y1), (R * Y1)^2, Y2^-2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y2^6, Y3^-1 * Y2 * Y3^-1 * Y2^3, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 8, 62)(4, 58, 9, 63, 17, 71)(6, 60, 19, 73, 10, 64)(7, 61, 11, 65, 20, 74)(13, 67, 24, 78, 32, 86)(14, 68, 33, 87, 25, 79)(15, 69, 34, 88, 26, 80)(16, 70, 40, 94, 27, 81)(18, 72, 41, 95, 28, 82)(21, 75, 42, 96, 29, 83)(22, 76, 30, 84, 43, 97)(23, 77, 44, 98, 31, 85)(35, 89, 50, 104, 45, 99)(36, 90, 46, 100, 51, 105)(37, 91, 47, 101, 52, 106)(38, 92, 48, 102, 53, 107)(39, 93, 49, 103, 54, 108)(109, 163, 111, 165, 121, 175, 143, 197, 130, 184, 114, 168)(110, 164, 116, 170, 132, 186, 153, 207, 138, 192, 118, 172)(112, 166, 124, 178, 144, 198, 123, 177, 147, 201, 126, 180)(113, 167, 120, 174, 140, 194, 158, 212, 151, 205, 127, 181)(115, 169, 131, 185, 145, 199, 129, 183, 146, 200, 122, 176)(117, 171, 135, 189, 154, 208, 134, 188, 157, 211, 136, 190)(119, 173, 139, 193, 155, 209, 137, 191, 156, 210, 133, 187)(125, 179, 148, 202, 159, 213, 142, 196, 162, 216, 149, 203)(128, 182, 152, 206, 160, 214, 150, 204, 161, 215, 141, 195)
	L = (1, 112)(2, 117)(3, 122)(4, 115)(5, 125)(6, 129)(7, 109)(8, 133)(9, 119)(10, 137)(11, 110)(12, 141)(13, 144)(14, 123)(15, 111)(16, 114)(17, 128)(18, 143)(19, 150)(20, 113)(21, 124)(22, 147)(23, 126)(24, 154)(25, 134)(26, 116)(27, 118)(28, 153)(29, 135)(30, 157)(31, 136)(32, 159)(33, 142)(34, 120)(35, 131)(36, 145)(37, 121)(38, 130)(39, 146)(40, 127)(41, 158)(42, 148)(43, 162)(44, 149)(45, 139)(46, 155)(47, 132)(48, 138)(49, 156)(50, 152)(51, 160)(52, 140)(53, 151)(54, 161)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.980
Graph:: simple bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.980 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x ((C3 x C3) : C2) (small group id <54, 13>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, (Y3^-1, Y1), (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y2 * Y1^-1)^2, Y2^6, Y2^-3 * Y1^-1 * Y2^-1 * Y1^-1, Y3^-1 * Y2 * Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2^-3 * Y3^-1 * Y2, (Y1^-1 * Y3 * Y2^-1)^2, Y3^-1 * Y2 * Y3^-1 * Y2^3 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 10, 64)(4, 58, 9, 63, 17, 71)(6, 60, 19, 73, 23, 77)(7, 61, 11, 65, 21, 75)(8, 62, 26, 80, 20, 74)(13, 67, 27, 81, 37, 91)(14, 68, 36, 90, 32, 86)(15, 69, 38, 92, 30, 84)(16, 70, 43, 97, 31, 85)(18, 72, 44, 98, 29, 83)(22, 76, 45, 99, 34, 88)(24, 78, 33, 87, 35, 89)(25, 79, 46, 100, 28, 82)(39, 93, 47, 101, 54, 108)(40, 94, 48, 102, 53, 107)(41, 95, 49, 103, 52, 106)(42, 96, 50, 104, 51, 105)(109, 163, 111, 165, 121, 175, 134, 188, 132, 186, 114, 168)(110, 164, 116, 170, 135, 189, 131, 185, 141, 195, 118, 172)(112, 166, 124, 178, 147, 201, 123, 177, 150, 204, 126, 180)(113, 167, 127, 181, 145, 199, 120, 174, 143, 197, 128, 182)(115, 169, 133, 187, 148, 202, 130, 184, 149, 203, 122, 176)(117, 171, 138, 192, 155, 209, 137, 191, 158, 212, 139, 193)(119, 173, 142, 196, 156, 210, 140, 194, 157, 211, 136, 190)(125, 179, 152, 206, 162, 216, 151, 205, 159, 213, 146, 200)(129, 183, 144, 198, 161, 215, 154, 208, 160, 214, 153, 207)
	L = (1, 112)(2, 117)(3, 122)(4, 115)(5, 125)(6, 130)(7, 109)(8, 136)(9, 119)(10, 140)(11, 110)(12, 144)(13, 147)(14, 123)(15, 111)(16, 114)(17, 129)(18, 134)(19, 153)(20, 154)(21, 113)(22, 124)(23, 142)(24, 150)(25, 126)(26, 133)(27, 155)(28, 137)(29, 116)(30, 118)(31, 131)(32, 138)(33, 158)(34, 139)(35, 159)(36, 146)(37, 162)(38, 120)(39, 148)(40, 121)(41, 132)(42, 149)(43, 127)(44, 128)(45, 151)(46, 152)(47, 156)(48, 135)(49, 141)(50, 157)(51, 160)(52, 143)(53, 145)(54, 161)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.979
Graph:: simple bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.981 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x ((C3 x C3) : C2) (small group id <54, 13>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, (Y3^-1, Y1), (Y2 * Y1)^2, (R * Y1)^2, (Y3 * Y2)^2, (R * Y3)^2, Y2^-1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1, (Y2 * Y3^-1 * Y1^-1)^2, Y2^-3 * Y3 * Y2^-1 * Y3, Y2 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2^-2 * Y3^-1 * Y2^2, Y2^3 * Y1^-1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 15, 69)(4, 58, 9, 63, 18, 72)(6, 60, 22, 76, 8, 62)(7, 61, 11, 65, 21, 75)(10, 64, 31, 85, 20, 74)(13, 67, 26, 80, 39, 93)(14, 68, 35, 89, 34, 88)(16, 70, 37, 91, 30, 84)(17, 71, 43, 97, 28, 82)(19, 73, 44, 98, 29, 83)(23, 77, 46, 100, 27, 81)(24, 78, 33, 87, 36, 90)(25, 79, 45, 99, 32, 86)(38, 92, 47, 101, 54, 108)(40, 94, 48, 102, 52, 106)(41, 95, 49, 103, 51, 105)(42, 96, 50, 104, 53, 107)(109, 163, 111, 165, 121, 175, 139, 193, 132, 186, 114, 168)(110, 164, 116, 170, 134, 188, 123, 177, 141, 195, 118, 172)(112, 166, 125, 179, 146, 200, 124, 178, 150, 204, 127, 181)(113, 167, 128, 182, 147, 201, 130, 184, 144, 198, 120, 174)(115, 169, 133, 187, 148, 202, 131, 185, 149, 203, 122, 176)(117, 171, 137, 191, 155, 209, 136, 190, 158, 212, 138, 192)(119, 173, 142, 196, 156, 210, 140, 194, 157, 211, 135, 189)(126, 180, 145, 199, 162, 216, 152, 206, 161, 215, 151, 205)(129, 183, 154, 208, 160, 214, 143, 197, 159, 213, 153, 207)
	L = (1, 112)(2, 117)(3, 122)(4, 115)(5, 126)(6, 131)(7, 109)(8, 135)(9, 119)(10, 140)(11, 110)(12, 143)(13, 146)(14, 124)(15, 142)(16, 111)(17, 114)(18, 129)(19, 139)(20, 153)(21, 113)(22, 154)(23, 125)(24, 150)(25, 127)(26, 155)(27, 136)(28, 116)(29, 118)(30, 123)(31, 133)(32, 137)(33, 158)(34, 138)(35, 145)(36, 161)(37, 120)(38, 148)(39, 162)(40, 121)(41, 132)(42, 149)(43, 130)(44, 128)(45, 152)(46, 151)(47, 156)(48, 134)(49, 141)(50, 157)(51, 144)(52, 147)(53, 159)(54, 160)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.982 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y2^-3 * Y3, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y2 * Y3 * Y2^-1, Y3 * Y2^-1 * Y1 * Y2^-2 * Y1^-1, Y2^2 * Y1 * Y3 * Y2 * Y1^-1, (Y2 * Y1^-1)^3, Y2^-1 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1, (Y1^-1 * Y2^-1)^3, (Y3 * Y1^-1)^3, Y3 * Y1^2 * Y3 * Y1^-2, Y1^6, Y1^-2 * Y2^-1 * Y1^2 * Y2 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 7, 61, 23, 77, 19, 73, 5, 59)(3, 57, 11, 65, 24, 78, 46, 100, 40, 94, 14, 68)(4, 58, 15, 69, 25, 79, 49, 103, 41, 95, 16, 70)(6, 60, 21, 75, 26, 80, 50, 104, 42, 96, 22, 76)(8, 62, 27, 81, 43, 97, 36, 90, 17, 71, 30, 84)(9, 63, 31, 85, 44, 98, 37, 91, 18, 72, 32, 86)(10, 64, 33, 87, 45, 99, 35, 89, 20, 74, 34, 88)(12, 66, 28, 82, 47, 101, 53, 107, 51, 105, 38, 92)(13, 67, 29, 83, 48, 102, 54, 108, 52, 106, 39, 93)(109, 163, 111, 165, 120, 174, 112, 166, 121, 175, 114, 168)(110, 164, 116, 170, 136, 190, 117, 171, 137, 191, 118, 172)(113, 167, 125, 179, 146, 200, 126, 180, 147, 201, 128, 182)(115, 169, 132, 186, 155, 209, 133, 187, 156, 210, 134, 188)(119, 173, 143, 197, 123, 177, 144, 198, 129, 183, 145, 199)(122, 176, 141, 195, 124, 178, 135, 189, 130, 184, 139, 193)(127, 181, 148, 202, 159, 213, 149, 203, 160, 214, 150, 204)(131, 185, 151, 205, 161, 215, 152, 206, 162, 216, 153, 207)(138, 192, 158, 212, 140, 194, 154, 208, 142, 196, 157, 211)
	L = (1, 112)(2, 117)(3, 121)(4, 109)(5, 126)(6, 120)(7, 133)(8, 137)(9, 110)(10, 136)(11, 144)(12, 114)(13, 111)(14, 135)(15, 145)(16, 139)(17, 147)(18, 113)(19, 149)(20, 146)(21, 143)(22, 141)(23, 152)(24, 156)(25, 115)(26, 155)(27, 122)(28, 118)(29, 116)(30, 154)(31, 124)(32, 157)(33, 130)(34, 158)(35, 129)(36, 119)(37, 123)(38, 128)(39, 125)(40, 160)(41, 127)(42, 159)(43, 162)(44, 131)(45, 161)(46, 138)(47, 134)(48, 132)(49, 140)(50, 142)(51, 150)(52, 148)(53, 153)(54, 151)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E28.931
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 12^18 ]

E28.983 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2, (R * Y1)^2, R * Y2 * R * Y3^-1, (Y3 * Y2^-1)^3, (Y3^-1 * Y1^-1)^3, Y3 * Y1^-1 * Y2 * Y3^-1 * Y1 * Y2^-1, Y3 * Y1^-1 * Y3 * Y1^-1 * Y2^-1 * Y1^-1, Y1^-1 * Y2^2 * Y1 * Y2^-2, Y3 * Y1 * Y3^-2 * Y1^-1 * Y2^-1, Y3 * Y1^2 * Y3^-1 * Y1^-2, Y2 * Y1^2 * Y2^-1 * Y1^-2, Y2^6, Y1^6 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 6, 60, 18, 72, 17, 71, 5, 59)(3, 57, 9, 63, 19, 73, 38, 92, 32, 86, 11, 65)(4, 58, 12, 66, 20, 74, 40, 94, 35, 89, 14, 68)(7, 61, 21, 75, 36, 90, 33, 87, 15, 69, 23, 77)(8, 62, 24, 78, 37, 91, 27, 81, 16, 70, 26, 80)(10, 64, 22, 76, 39, 93, 50, 104, 48, 102, 30, 84)(13, 67, 25, 79, 41, 95, 51, 105, 49, 103, 34, 88)(28, 82, 46, 100, 52, 106, 43, 97, 31, 85, 47, 101)(29, 83, 45, 99, 53, 107, 44, 98, 54, 108, 42, 96)(109, 163, 111, 165, 118, 172, 137, 191, 121, 175, 112, 166)(110, 164, 115, 169, 130, 184, 151, 205, 133, 187, 116, 170)(113, 167, 123, 177, 138, 192, 154, 208, 142, 196, 124, 178)(114, 168, 127, 181, 147, 201, 161, 215, 149, 203, 128, 182)(117, 171, 135, 189, 153, 207, 141, 195, 120, 174, 136, 190)(119, 173, 132, 186, 150, 204, 129, 183, 122, 176, 139, 193)(125, 179, 140, 194, 156, 210, 162, 216, 157, 211, 143, 197)(126, 180, 144, 198, 158, 212, 155, 209, 159, 213, 145, 199)(131, 185, 148, 202, 160, 214, 146, 200, 134, 188, 152, 206)
	L = (1, 112)(2, 116)(3, 109)(4, 121)(5, 124)(6, 128)(7, 110)(8, 133)(9, 136)(10, 111)(11, 139)(12, 141)(13, 137)(14, 129)(15, 113)(16, 142)(17, 143)(18, 145)(19, 114)(20, 149)(21, 150)(22, 115)(23, 152)(24, 119)(25, 151)(26, 146)(27, 117)(28, 120)(29, 118)(30, 123)(31, 122)(32, 125)(33, 153)(34, 154)(35, 157)(36, 126)(37, 159)(38, 160)(39, 127)(40, 131)(41, 161)(42, 132)(43, 130)(44, 134)(45, 135)(46, 138)(47, 158)(48, 140)(49, 162)(50, 144)(51, 155)(52, 148)(53, 147)(54, 156)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E28.932
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 12^18 ]

E28.984 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y1), Y3^-1 * Y2^-2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y2 * Y3^-1 * Y1 * Y2^-1 * Y3 * Y1^-1, Y3^-1 * Y2^-1 * Y1^-1 * Y2 * Y1 * Y2^-1, Y2 * Y1 * Y3 * Y2^-1 * Y1^-1 * Y3^-1, Y2^2 * Y3^-1 * Y1^3, Y3^-2 * Y2^4, Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, (Y2^-1 * Y1^-1 * R)^2, (Y3 * Y2^-1)^3, Y2^2 * Y3^-1 * Y1^-3, Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y3, (Y2^-1 * Y1^-1)^3, (Y2 * Y1^-1)^3, Y2 * Y1^2 * Y2 * Y3^-1 * Y1, Y1 * Y3^-2 * Y1^-1 * Y2^-2, (R * Y2 * Y3^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 8, 62, 30, 84, 23, 77, 5, 59)(3, 57, 13, 67, 31, 85, 27, 81, 42, 96, 16, 70)(4, 58, 10, 64, 32, 86, 14, 68, 36, 90, 20, 74)(6, 60, 26, 80, 33, 87, 17, 71, 46, 100, 28, 82)(7, 61, 12, 66, 34, 88, 19, 73, 41, 95, 25, 79)(9, 63, 35, 89, 21, 75, 44, 98, 22, 76, 38, 92)(11, 65, 43, 97, 29, 83, 39, 93, 24, 78, 45, 99)(15, 69, 40, 94, 51, 105, 47, 101, 54, 108, 48, 102)(18, 72, 37, 91, 52, 106, 50, 104, 53, 107, 49, 103)(109, 163, 111, 165, 122, 176, 155, 209, 127, 181, 114, 168)(110, 164, 117, 171, 144, 198, 161, 215, 149, 203, 119, 173)(112, 166, 126, 180, 115, 169, 137, 191, 138, 192, 129, 183)(113, 167, 130, 184, 140, 194, 160, 214, 142, 196, 132, 186)(116, 170, 139, 193, 128, 182, 156, 210, 133, 187, 141, 195)(118, 172, 148, 202, 120, 174, 154, 208, 131, 185, 150, 204)(121, 175, 147, 201, 162, 216, 152, 206, 134, 188, 145, 199)(123, 177, 146, 200, 125, 179, 158, 212, 135, 189, 153, 207)(124, 178, 151, 205, 159, 213, 143, 197, 136, 190, 157, 211)
	L = (1, 112)(2, 118)(3, 123)(4, 127)(5, 128)(6, 135)(7, 109)(8, 140)(9, 145)(10, 149)(11, 152)(12, 110)(13, 148)(14, 115)(15, 114)(16, 156)(17, 111)(18, 153)(19, 138)(20, 142)(21, 158)(22, 157)(23, 144)(24, 143)(25, 113)(26, 150)(27, 155)(28, 139)(29, 146)(30, 122)(31, 159)(32, 133)(33, 124)(34, 116)(35, 160)(36, 120)(37, 119)(38, 126)(39, 117)(40, 134)(41, 131)(42, 162)(43, 130)(44, 161)(45, 129)(46, 121)(47, 125)(48, 136)(49, 132)(50, 137)(51, 141)(52, 151)(53, 147)(54, 154)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E28.933
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 12^18 ]

E28.985 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C6 x C3 x C3 (small group id <54, 15>)
Aut   = C2 x ((C3 x C3 x C3) : C2) (small group id <108, 44>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, (Y2^-1, Y1^-1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y2), (Y3^-1, Y1^-1), Y2^6 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 8, 62, 14, 68)(4, 58, 9, 63, 16, 70)(6, 60, 10, 64, 18, 72)(7, 61, 11, 65, 19, 73)(12, 66, 22, 76, 30, 84)(13, 67, 23, 77, 32, 86)(15, 69, 24, 78, 33, 87)(17, 71, 25, 79, 34, 88)(20, 74, 26, 80, 36, 90)(21, 75, 27, 81, 37, 91)(28, 82, 39, 93, 45, 99)(29, 83, 40, 94, 47, 101)(31, 85, 41, 95, 48, 102)(35, 89, 42, 96, 49, 103)(38, 92, 43, 97, 50, 104)(44, 98, 51, 105, 53, 107)(46, 100, 52, 106, 54, 108)(109, 163, 111, 165, 120, 174, 136, 190, 128, 182, 114, 168)(110, 164, 116, 170, 130, 184, 147, 201, 134, 188, 118, 172)(112, 166, 121, 175, 137, 191, 152, 206, 143, 197, 125, 179)(113, 167, 122, 176, 138, 192, 153, 207, 144, 198, 126, 180)(115, 169, 123, 177, 139, 193, 154, 208, 146, 200, 129, 183)(117, 171, 131, 185, 148, 202, 159, 213, 150, 204, 133, 187)(119, 173, 132, 186, 149, 203, 160, 214, 151, 205, 135, 189)(124, 178, 140, 194, 155, 209, 161, 215, 157, 211, 142, 196)(127, 181, 141, 195, 156, 210, 162, 216, 158, 212, 145, 199)
	L = (1, 112)(2, 117)(3, 121)(4, 115)(5, 124)(6, 125)(7, 109)(8, 131)(9, 119)(10, 133)(11, 110)(12, 137)(13, 123)(14, 140)(15, 111)(16, 127)(17, 129)(18, 142)(19, 113)(20, 143)(21, 114)(22, 148)(23, 132)(24, 116)(25, 135)(26, 150)(27, 118)(28, 152)(29, 139)(30, 155)(31, 120)(32, 141)(33, 122)(34, 145)(35, 146)(36, 157)(37, 126)(38, 128)(39, 159)(40, 149)(41, 130)(42, 151)(43, 134)(44, 154)(45, 161)(46, 136)(47, 156)(48, 138)(49, 158)(50, 144)(51, 160)(52, 147)(53, 162)(54, 153)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.986 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 6, 6, 6})
Quotient :: edge^2
Aut^+ = C3 x D18 (small group id <54, 3>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1, Y1^2 * Y3^-2, R * Y2 * R * Y1, (R * Y3)^2, Y3^6, (Y1^-1 * Y3^-1 * Y2^-1)^2, Y2^6, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 55, 3, 57, 6, 60, 15, 69, 11, 65, 5, 59)(2, 56, 7, 61, 14, 68, 12, 66, 4, 58, 8, 62)(9, 63, 19, 73, 13, 67, 21, 75, 10, 64, 20, 74)(16, 70, 22, 76, 18, 72, 24, 78, 17, 71, 23, 77)(25, 79, 31, 85, 27, 81, 33, 87, 26, 80, 32, 86)(28, 82, 34, 88, 30, 84, 36, 90, 29, 83, 35, 89)(37, 91, 43, 97, 39, 93, 45, 99, 38, 92, 44, 98)(40, 94, 46, 100, 42, 96, 48, 102, 41, 95, 47, 101)(49, 103, 52, 106, 51, 105, 54, 108, 50, 104, 53, 107)(109, 110, 114, 122, 119, 112)(111, 117, 123, 121, 113, 118)(115, 124, 120, 126, 116, 125)(127, 133, 129, 135, 128, 134)(130, 136, 132, 138, 131, 137)(139, 145, 141, 147, 140, 146)(142, 148, 144, 150, 143, 149)(151, 157, 153, 159, 152, 158)(154, 160, 156, 162, 155, 161)(163, 164, 168, 176, 173, 166)(165, 171, 177, 175, 167, 172)(169, 178, 174, 180, 170, 179)(181, 187, 183, 189, 182, 188)(184, 190, 186, 192, 185, 191)(193, 199, 195, 201, 194, 200)(196, 202, 198, 204, 197, 203)(205, 211, 207, 213, 206, 212)(208, 214, 210, 216, 209, 215)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 8^6 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E28.989
Graph:: bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.987 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 6, 6, 6})
Quotient :: edge^2
Aut^+ = C3 x D18 (small group id <54, 3>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y2^-1 * Y1, R * Y2 * R * Y1, (R * Y3)^2, Y1^-1 * Y3 * Y2 * Y1 * Y3 * Y1^-1, (Y1^-2 * Y2^-1)^2, Y1^6, Y2^6, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1, (Y1^-1 * Y3 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 55, 3, 57)(2, 56, 6, 60)(4, 58, 9, 63)(5, 59, 12, 66)(7, 61, 15, 69)(8, 62, 16, 70)(10, 64, 17, 71)(11, 65, 19, 73)(13, 67, 21, 75)(14, 68, 22, 76)(18, 72, 26, 80)(20, 74, 27, 81)(23, 77, 31, 85)(24, 78, 32, 86)(25, 79, 33, 87)(28, 82, 34, 88)(29, 83, 35, 89)(30, 84, 36, 90)(37, 91, 43, 97)(38, 92, 44, 98)(39, 93, 45, 99)(40, 94, 46, 100)(41, 95, 47, 101)(42, 96, 48, 102)(49, 103, 54, 108)(50, 104, 52, 106)(51, 105, 53, 107)(109, 110, 113, 119, 118, 112)(111, 115, 120, 128, 125, 116)(114, 121, 127, 126, 117, 122)(123, 131, 135, 133, 124, 132)(129, 136, 134, 138, 130, 137)(139, 145, 141, 147, 140, 146)(142, 148, 144, 150, 143, 149)(151, 157, 153, 159, 152, 158)(154, 160, 156, 162, 155, 161)(163, 164, 167, 173, 172, 166)(165, 169, 174, 182, 179, 170)(168, 175, 181, 180, 171, 176)(177, 185, 189, 187, 178, 186)(183, 190, 188, 192, 184, 191)(193, 199, 195, 201, 194, 200)(196, 202, 198, 204, 197, 203)(205, 211, 207, 213, 206, 212)(208, 214, 210, 216, 209, 215)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 24^4 ), ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E28.988
Graph:: simple bipartite
	v = 45 e = 108 f = 9
	degree seq :: [ 4^27, 6^18 ]

E28.988 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 6, 6, 6})
Quotient :: loop^2
Aut^+ = C3 x D18 (small group id <54, 3>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1, Y1^2 * Y3^-2, R * Y2 * R * Y1, (R * Y3)^2, Y3^6, (Y1^-1 * Y3^-1 * Y2^-1)^2, Y2^6, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 55, 109, 163, 3, 57, 111, 165, 6, 60, 114, 168, 15, 69, 123, 177, 11, 65, 119, 173, 5, 59, 113, 167)(2, 56, 110, 164, 7, 61, 115, 169, 14, 68, 122, 176, 12, 66, 120, 174, 4, 58, 112, 166, 8, 62, 116, 170)(9, 63, 117, 171, 19, 73, 127, 181, 13, 67, 121, 175, 21, 75, 129, 183, 10, 64, 118, 172, 20, 74, 128, 182)(16, 70, 124, 178, 22, 76, 130, 184, 18, 72, 126, 180, 24, 78, 132, 186, 17, 71, 125, 179, 23, 77, 131, 185)(25, 79, 133, 187, 31, 85, 139, 193, 27, 81, 135, 189, 33, 87, 141, 195, 26, 80, 134, 188, 32, 86, 140, 194)(28, 82, 136, 190, 34, 88, 142, 196, 30, 84, 138, 192, 36, 90, 144, 198, 29, 83, 137, 191, 35, 89, 143, 197)(37, 91, 145, 199, 43, 97, 151, 205, 39, 93, 147, 201, 45, 99, 153, 207, 38, 92, 146, 200, 44, 98, 152, 206)(40, 94, 148, 202, 46, 100, 154, 208, 42, 96, 150, 204, 48, 102, 156, 210, 41, 95, 149, 203, 47, 101, 155, 209)(49, 103, 157, 211, 52, 106, 160, 214, 51, 105, 159, 213, 54, 108, 162, 216, 50, 104, 158, 212, 53, 107, 161, 215)
	L = (1, 56)(2, 60)(3, 63)(4, 55)(5, 64)(6, 68)(7, 70)(8, 71)(9, 69)(10, 57)(11, 58)(12, 72)(13, 59)(14, 65)(15, 67)(16, 66)(17, 61)(18, 62)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 75)(26, 73)(27, 74)(28, 78)(29, 76)(30, 77)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 87)(38, 85)(39, 86)(40, 90)(41, 88)(42, 89)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 99)(50, 97)(51, 98)(52, 102)(53, 100)(54, 101)(109, 164)(110, 168)(111, 171)(112, 163)(113, 172)(114, 176)(115, 178)(116, 179)(117, 177)(118, 165)(119, 166)(120, 180)(121, 167)(122, 173)(123, 175)(124, 174)(125, 169)(126, 170)(127, 187)(128, 188)(129, 189)(130, 190)(131, 191)(132, 192)(133, 183)(134, 181)(135, 182)(136, 186)(137, 184)(138, 185)(139, 199)(140, 200)(141, 201)(142, 202)(143, 203)(144, 204)(145, 195)(146, 193)(147, 194)(148, 198)(149, 196)(150, 197)(151, 211)(152, 212)(153, 213)(154, 214)(155, 215)(156, 216)(157, 207)(158, 205)(159, 206)(160, 210)(161, 208)(162, 209)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.987
Transitivity :: VT+
Graph::
	v = 9 e = 108 f = 45
	degree seq :: [ 24^9 ]

E28.989 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 6, 6, 6})
Quotient :: loop^2
Aut^+ = C3 x D18 (small group id <54, 3>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y2^-1 * Y1, R * Y2 * R * Y1, (R * Y3)^2, Y1^-1 * Y3 * Y2 * Y1 * Y3 * Y1^-1, (Y1^-2 * Y2^-1)^2, Y1^6, Y2^6, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1, (Y1^-1 * Y3 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 55, 109, 163, 3, 57, 111, 165)(2, 56, 110, 164, 6, 60, 114, 168)(4, 58, 112, 166, 9, 63, 117, 171)(5, 59, 113, 167, 12, 66, 120, 174)(7, 61, 115, 169, 15, 69, 123, 177)(8, 62, 116, 170, 16, 70, 124, 178)(10, 64, 118, 172, 17, 71, 125, 179)(11, 65, 119, 173, 19, 73, 127, 181)(13, 67, 121, 175, 21, 75, 129, 183)(14, 68, 122, 176, 22, 76, 130, 184)(18, 72, 126, 180, 26, 80, 134, 188)(20, 74, 128, 182, 27, 81, 135, 189)(23, 77, 131, 185, 31, 85, 139, 193)(24, 78, 132, 186, 32, 86, 140, 194)(25, 79, 133, 187, 33, 87, 141, 195)(28, 82, 136, 190, 34, 88, 142, 196)(29, 83, 137, 191, 35, 89, 143, 197)(30, 84, 138, 192, 36, 90, 144, 198)(37, 91, 145, 199, 43, 97, 151, 205)(38, 92, 146, 200, 44, 98, 152, 206)(39, 93, 147, 201, 45, 99, 153, 207)(40, 94, 148, 202, 46, 100, 154, 208)(41, 95, 149, 203, 47, 101, 155, 209)(42, 96, 150, 204, 48, 102, 156, 210)(49, 103, 157, 211, 54, 108, 162, 216)(50, 104, 158, 212, 52, 106, 160, 214)(51, 105, 159, 213, 53, 107, 161, 215)
	L = (1, 56)(2, 59)(3, 61)(4, 55)(5, 65)(6, 67)(7, 66)(8, 57)(9, 68)(10, 58)(11, 64)(12, 74)(13, 73)(14, 60)(15, 77)(16, 78)(17, 62)(18, 63)(19, 72)(20, 71)(21, 82)(22, 83)(23, 81)(24, 69)(25, 70)(26, 84)(27, 79)(28, 80)(29, 75)(30, 76)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 87)(38, 85)(39, 86)(40, 90)(41, 88)(42, 89)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 99)(50, 97)(51, 98)(52, 102)(53, 100)(54, 101)(109, 164)(110, 167)(111, 169)(112, 163)(113, 173)(114, 175)(115, 174)(116, 165)(117, 176)(118, 166)(119, 172)(120, 182)(121, 181)(122, 168)(123, 185)(124, 186)(125, 170)(126, 171)(127, 180)(128, 179)(129, 190)(130, 191)(131, 189)(132, 177)(133, 178)(134, 192)(135, 187)(136, 188)(137, 183)(138, 184)(139, 199)(140, 200)(141, 201)(142, 202)(143, 203)(144, 204)(145, 195)(146, 193)(147, 194)(148, 198)(149, 196)(150, 197)(151, 211)(152, 212)(153, 213)(154, 214)(155, 215)(156, 216)(157, 207)(158, 205)(159, 206)(160, 210)(161, 208)(162, 209)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.986
Transitivity :: VT+
Graph::
	v = 27 e = 108 f = 27
	degree seq :: [ 8^27 ]

E28.990 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = C3 x D18 (small group id <54, 3>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^-1 * Y2, Y3^3, Y1 * Y3^-1 * Y1 * Y3, (R * Y2)^2, (Y2 * Y3)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 11, 65)(4, 58, 8, 62)(5, 59, 13, 67)(6, 60, 10, 64)(7, 61, 14, 68)(9, 63, 16, 70)(12, 66, 18, 72)(15, 69, 22, 76)(17, 71, 25, 79)(19, 73, 26, 80)(20, 74, 27, 81)(21, 75, 28, 82)(23, 77, 29, 83)(24, 78, 30, 84)(31, 85, 37, 91)(32, 86, 38, 92)(33, 87, 39, 93)(34, 88, 40, 94)(35, 89, 41, 95)(36, 90, 42, 96)(43, 97, 49, 103)(44, 98, 50, 104)(45, 99, 51, 105)(46, 100, 52, 106)(47, 101, 53, 107)(48, 102, 54, 108)(109, 163, 111, 165, 112, 166, 120, 174, 114, 168, 113, 167)(110, 164, 115, 169, 116, 170, 123, 177, 118, 172, 117, 171)(119, 173, 125, 179, 126, 180, 128, 182, 121, 175, 127, 181)(122, 176, 129, 183, 130, 184, 132, 186, 124, 178, 131, 185)(133, 187, 139, 193, 135, 189, 141, 195, 134, 188, 140, 194)(136, 190, 142, 196, 138, 192, 144, 198, 137, 191, 143, 197)(145, 199, 151, 205, 147, 201, 153, 207, 146, 200, 152, 206)(148, 202, 154, 208, 150, 204, 156, 210, 149, 203, 155, 209)(157, 211, 161, 215, 159, 213, 160, 214, 158, 212, 162, 216)
	L = (1, 112)(2, 116)(3, 120)(4, 114)(5, 111)(6, 109)(7, 123)(8, 118)(9, 115)(10, 110)(11, 126)(12, 113)(13, 119)(14, 130)(15, 117)(16, 122)(17, 128)(18, 121)(19, 125)(20, 127)(21, 132)(22, 124)(23, 129)(24, 131)(25, 135)(26, 133)(27, 134)(28, 138)(29, 136)(30, 137)(31, 141)(32, 139)(33, 140)(34, 144)(35, 142)(36, 143)(37, 147)(38, 145)(39, 146)(40, 150)(41, 148)(42, 149)(43, 153)(44, 151)(45, 152)(46, 156)(47, 154)(48, 155)(49, 159)(50, 157)(51, 158)(52, 162)(53, 160)(54, 161)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12^4 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E28.991
Graph:: bipartite
	v = 36 e = 108 f = 18
	degree seq :: [ 4^27, 12^9 ]

E28.991 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = C3 x D18 (small group id <54, 3>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2 * Y3^-1 * Y2, Y1^2 * Y3^-1, (Y2^-1 * Y3^-1)^2, (R * Y3)^2, (Y2 * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 4, 58, 9, 63, 7, 61, 5, 59)(3, 57, 11, 65, 12, 66, 15, 69, 6, 60, 13, 67)(8, 62, 16, 70, 14, 68, 18, 72, 10, 64, 17, 71)(19, 73, 25, 79, 21, 75, 27, 81, 20, 74, 26, 80)(22, 76, 28, 82, 24, 78, 30, 84, 23, 77, 29, 83)(31, 85, 37, 91, 33, 87, 39, 93, 32, 86, 38, 92)(34, 88, 40, 94, 36, 90, 42, 96, 35, 89, 41, 95)(43, 97, 49, 103, 45, 99, 51, 105, 44, 98, 50, 104)(46, 100, 52, 106, 48, 102, 54, 108, 47, 101, 53, 107)(109, 163, 111, 165, 112, 166, 120, 174, 115, 169, 114, 168)(110, 164, 116, 170, 117, 171, 122, 176, 113, 167, 118, 172)(119, 173, 127, 181, 123, 177, 129, 183, 121, 175, 128, 182)(124, 178, 130, 184, 126, 180, 132, 186, 125, 179, 131, 185)(133, 187, 139, 193, 135, 189, 141, 195, 134, 188, 140, 194)(136, 190, 142, 196, 138, 192, 144, 198, 137, 191, 143, 197)(145, 199, 151, 205, 147, 201, 153, 207, 146, 200, 152, 206)(148, 202, 154, 208, 150, 204, 156, 210, 149, 203, 155, 209)(157, 211, 160, 214, 159, 213, 162, 216, 158, 212, 161, 215)
	L = (1, 112)(2, 117)(3, 120)(4, 115)(5, 110)(6, 111)(7, 109)(8, 122)(9, 113)(10, 116)(11, 123)(12, 114)(13, 119)(14, 118)(15, 121)(16, 126)(17, 124)(18, 125)(19, 129)(20, 127)(21, 128)(22, 132)(23, 130)(24, 131)(25, 135)(26, 133)(27, 134)(28, 138)(29, 136)(30, 137)(31, 141)(32, 139)(33, 140)(34, 144)(35, 142)(36, 143)(37, 147)(38, 145)(39, 146)(40, 150)(41, 148)(42, 149)(43, 153)(44, 151)(45, 152)(46, 156)(47, 154)(48, 155)(49, 159)(50, 157)(51, 158)(52, 162)(53, 160)(54, 161)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.990
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 12^18 ]

E28.992 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 6, 6, 6})
Quotient :: edge^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2, Y2^-1 * Y1, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1^-1)^3, Y1^6, (Y3^-2 * Y1^-1)^2, (Y3 * Y1^-1)^3, Y1^-1 * Y2^-1 * Y3^-1 * Y1^-2 * Y3^-1, Y3^6, (Y1^-1 * Y3^-1 * Y2^-1)^2, Y2^6, Y1^-1 * Y3^-2 * Y1 * Y3^-2 * Y1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 55, 3, 57, 10, 64, 30, 84, 17, 71, 5, 59)(2, 56, 7, 61, 22, 76, 46, 100, 26, 80, 8, 62)(4, 58, 12, 66, 34, 88, 49, 103, 29, 83, 14, 68)(6, 60, 19, 73, 41, 95, 32, 86, 45, 99, 20, 74)(9, 63, 21, 75, 16, 70, 25, 79, 44, 98, 28, 82)(11, 65, 24, 78, 42, 96, 54, 108, 52, 106, 33, 87)(13, 67, 36, 90, 50, 104, 37, 91, 47, 101, 27, 81)(15, 69, 23, 77, 43, 97, 53, 107, 51, 105, 35, 89)(18, 72, 39, 93, 38, 92, 48, 102, 31, 85, 40, 94)(109, 110, 114, 126, 121, 112)(111, 117, 135, 159, 140, 119)(113, 123, 145, 150, 127, 124)(115, 129, 122, 141, 156, 131)(116, 132, 157, 161, 147, 133)(118, 137, 149, 134, 158, 139)(120, 136, 148, 162, 154, 143)(125, 146, 153, 142, 155, 130)(128, 151, 138, 160, 144, 152)(163, 164, 168, 180, 175, 166)(165, 171, 189, 213, 194, 173)(167, 177, 199, 204, 181, 178)(169, 183, 176, 195, 210, 185)(170, 186, 211, 215, 201, 187)(172, 191, 203, 188, 212, 193)(174, 190, 202, 216, 208, 197)(179, 200, 207, 196, 209, 184)(182, 205, 192, 214, 198, 206)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 8^6 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E28.1001
Graph:: simple bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.993 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 6, 6, 6})
Quotient :: edge^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y2^-1 * Y1^-1, Y1^-1 * Y2^2 * Y1^-1, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3^2 * Y2 * Y1 * Y2, (Y1 * Y2)^3, Y1^-1 * Y3^-1 * Y2^-2 * Y3^-1 * Y1^-1, Y2 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y3^-1 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y2, Y3^-1 * Y1^-1 * Y2 * Y3 * Y1 * Y2^-1, Y1 * Y3^-2 * Y2^-1 * Y3^2, Y1^-2 * Y3^-2 * Y1^-1 * Y2^-1, Y2^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3^-1 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 55, 4, 58, 9, 63, 35, 89, 25, 79, 7, 61)(2, 56, 10, 64, 31, 85, 52, 106, 42, 96, 12, 66)(3, 57, 14, 68, 34, 88, 23, 77, 5, 59, 16, 70)(6, 60, 24, 78, 36, 90, 51, 105, 30, 84, 26, 80)(8, 62, 32, 86, 22, 76, 49, 103, 15, 69, 33, 87)(11, 65, 41, 95, 13, 67, 47, 101, 21, 75, 43, 97)(17, 71, 37, 91, 28, 82, 45, 99, 27, 81, 44, 98)(18, 72, 48, 102, 29, 83, 50, 104, 19, 73, 40, 94)(20, 74, 39, 93, 53, 107, 38, 92, 54, 108, 46, 100)(109, 110, 116, 138, 129, 113)(111, 121, 139, 133, 114, 123)(112, 125, 155, 162, 157, 127)(115, 128, 149, 126, 140, 136)(117, 142, 130, 150, 119, 144)(118, 145, 131, 158, 132, 147)(120, 148, 122, 146, 134, 153)(124, 152, 159, 156, 160, 154)(135, 141, 161, 143, 137, 151)(163, 165, 170, 193, 183, 168)(164, 171, 192, 184, 167, 173)(166, 180, 209, 190, 211, 182)(169, 189, 203, 215, 194, 191)(172, 200, 185, 207, 186, 202)(174, 206, 176, 210, 188, 208)(175, 196, 187, 204, 177, 198)(178, 201, 213, 199, 214, 212)(179, 197, 216, 205, 181, 195)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 8^6 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E28.1002
Graph:: simple bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.994 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 6, 6, 6})
Quotient :: edge^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1 * Y2^-1 * Y3, Y2 * Y1^-2 * Y2, (R * Y3)^2, R * Y2 * R * Y1, Y2 * Y3^-1 * Y2^2 * Y3^-1 * Y1^-1, Y1^-1 * Y3^-2 * Y2^-3, Y3^-1 * Y2^-1 * Y3 * Y1 * Y3^-1 * Y1, Y3 * Y1^-2 * Y3^-1 * Y1 * Y2, Y2^2 * Y1^4, Y3^2 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, (Y1^-1 * Y2^-1 * Y1^-1)^2, Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1^-1, Y3^-1 * Y2^2 * Y3 * Y2^-1 * Y1^-1, Y2^-1 * Y1 * Y3^2 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 55, 4, 58, 13, 67, 47, 101, 23, 77, 7, 61)(2, 56, 10, 64, 34, 88, 26, 80, 6, 60, 12, 66)(3, 57, 14, 68, 30, 84, 51, 105, 42, 96, 16, 70)(5, 59, 21, 75, 36, 90, 52, 106, 31, 85, 24, 78)(8, 62, 32, 86, 25, 79, 43, 97, 11, 65, 33, 87)(9, 63, 35, 89, 22, 76, 49, 103, 15, 69, 37, 91)(17, 71, 38, 92, 28, 82, 45, 99, 20, 74, 41, 95)(18, 72, 48, 102, 29, 83, 50, 104, 27, 81, 40, 94)(19, 73, 44, 98, 53, 107, 39, 93, 54, 108, 46, 100)(109, 110, 116, 138, 130, 113)(111, 121, 139, 133, 114, 123)(112, 125, 143, 137, 151, 127)(115, 135, 145, 161, 140, 136)(117, 142, 131, 150, 119, 144)(118, 146, 132, 154, 124, 148)(120, 152, 160, 156, 159, 153)(122, 147, 134, 158, 129, 149)(126, 155, 162, 157, 128, 141)(163, 165, 170, 193, 184, 168)(164, 171, 192, 185, 167, 173)(166, 180, 197, 216, 205, 182)(169, 181, 199, 179, 194, 191)(172, 201, 186, 212, 178, 203)(174, 202, 214, 200, 213, 208)(175, 196, 187, 204, 177, 198)(176, 210, 188, 207, 183, 206)(189, 195, 215, 209, 190, 211)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 8^6 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E28.1003
Graph:: simple bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.995 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 6, 6, 6})
Quotient :: edge^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^-1 * Y2, R * Y2 * R * Y1, (R * Y3)^2, Y1^6, Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3, Y2^6, Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y1^-2 * Y3 * Y1^-2, (Y3 * Y1^-3)^3 ]
Map:: polytopal non-degenerate
	R = (1, 55, 3, 57)(2, 56, 6, 60)(4, 58, 9, 63)(5, 59, 12, 66)(7, 61, 16, 70)(8, 62, 13, 67)(10, 64, 19, 73)(11, 65, 20, 74)(14, 68, 21, 75)(15, 69, 26, 80)(17, 71, 28, 82)(18, 72, 30, 84)(22, 76, 32, 86)(23, 77, 37, 91)(24, 78, 38, 92)(25, 79, 39, 93)(27, 81, 40, 94)(29, 83, 44, 98)(31, 85, 33, 87)(34, 88, 50, 104)(35, 89, 51, 105)(36, 90, 52, 106)(41, 95, 48, 102)(42, 96, 49, 103)(43, 97, 47, 101)(45, 99, 53, 107)(46, 100, 54, 108)(109, 110, 113, 119, 118, 112)(111, 115, 123, 133, 125, 116)(114, 121, 131, 144, 132, 122)(117, 126, 137, 150, 135, 124)(120, 129, 142, 157, 143, 130)(127, 139, 154, 160, 153, 138)(128, 140, 155, 147, 156, 141)(134, 148, 158, 146, 162, 149)(136, 151, 159, 152, 161, 145)(163, 164, 167, 173, 172, 166)(165, 169, 177, 187, 179, 170)(168, 175, 185, 198, 186, 176)(171, 180, 191, 204, 189, 178)(174, 183, 196, 211, 197, 184)(181, 193, 208, 214, 207, 192)(182, 194, 209, 201, 210, 195)(188, 202, 212, 200, 216, 203)(190, 205, 213, 206, 215, 199)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 24^4 ), ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E28.998
Graph:: simple bipartite
	v = 45 e = 108 f = 9
	degree seq :: [ 4^27, 6^18 ]

E28.996 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 6, 6, 6})
Quotient :: edge^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^2 * Y1^-2, R * Y1 * R * Y2, (R * Y3)^2, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, Y1^6, (Y3 * Y1^-1)^3, Y2 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-1, Y3 * Y1^2 * Y3 * Y1^-1 * Y2^-1, Y3 * Y1 * Y2 * Y3 * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^3, Y2^-1 * Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y2^-2, (Y1^-1 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 55, 4, 58)(2, 56, 9, 63)(3, 57, 12, 66)(5, 59, 18, 72)(6, 60, 21, 75)(7, 61, 25, 79)(8, 62, 27, 81)(10, 64, 33, 87)(11, 65, 35, 89)(13, 67, 38, 92)(14, 68, 39, 93)(15, 69, 40, 94)(16, 70, 29, 83)(17, 71, 36, 90)(19, 73, 42, 96)(20, 74, 41, 95)(22, 76, 43, 97)(23, 77, 45, 99)(24, 78, 46, 100)(26, 80, 50, 104)(28, 82, 52, 106)(30, 84, 53, 107)(31, 85, 47, 101)(32, 86, 51, 105)(34, 88, 54, 108)(37, 91, 48, 102)(44, 98, 49, 103)(109, 110, 115, 131, 127, 113)(111, 119, 132, 130, 114, 121)(112, 122, 143, 159, 149, 124)(116, 134, 128, 142, 118, 136)(117, 137, 158, 152, 129, 139)(120, 138, 153, 148, 162, 140)(123, 133, 155, 151, 125, 141)(126, 145, 160, 144, 154, 147)(135, 156, 150, 161, 146, 157)(163, 165, 169, 186, 181, 168)(164, 170, 185, 182, 167, 172)(166, 177, 197, 209, 203, 179)(171, 192, 212, 202, 183, 194)(173, 188, 184, 196, 175, 190)(174, 198, 207, 201, 216, 199)(176, 189, 213, 204, 178, 200)(180, 193, 214, 191, 208, 206)(187, 210, 205, 215, 195, 211)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 24^4 ), ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E28.999
Graph:: simple bipartite
	v = 45 e = 108 f = 9
	degree seq :: [ 4^27, 6^18 ]

E28.997 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 6, 6, 6})
Quotient :: edge^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^2 * Y2^-2, (R * Y3)^2, R * Y1 * R * Y2, Y2^2 * Y1^4, Y3 * Y1 * Y2 * Y3 * Y2^-2, (Y3 * Y1^-1)^3, Y1 * Y3 * Y2 * Y1^-1 * Y3 * Y2^-1, Y2 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-1, Y3 * Y2 * Y1 * Y3 * Y1^-1 * Y2^-1, (Y3 * Y2^-1)^3, Y1 * Y2^-1 * Y1^-1 * Y2^-3 * Y1^-1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 55, 4, 58)(2, 56, 9, 63)(3, 57, 12, 66)(5, 59, 18, 72)(6, 60, 21, 75)(7, 61, 25, 79)(8, 62, 27, 81)(10, 64, 33, 87)(11, 65, 35, 89)(13, 67, 38, 92)(14, 68, 39, 93)(15, 69, 40, 94)(16, 70, 29, 83)(17, 71, 36, 90)(19, 73, 43, 97)(20, 74, 42, 96)(22, 76, 41, 95)(23, 77, 45, 99)(24, 78, 46, 100)(26, 80, 50, 104)(28, 82, 52, 106)(30, 84, 53, 107)(31, 85, 47, 101)(32, 86, 51, 105)(34, 88, 54, 108)(37, 91, 48, 102)(44, 98, 49, 103)(109, 110, 115, 131, 127, 113)(111, 119, 132, 130, 114, 121)(112, 122, 135, 156, 149, 124)(116, 134, 128, 142, 118, 136)(117, 137, 154, 148, 162, 139)(120, 138, 158, 147, 126, 140)(123, 143, 159, 151, 125, 141)(129, 145, 160, 144, 153, 152)(133, 155, 150, 161, 146, 157)(163, 165, 169, 186, 181, 168)(164, 170, 185, 182, 167, 172)(166, 177, 189, 213, 203, 179)(171, 192, 208, 201, 216, 194)(173, 188, 184, 196, 175, 190)(174, 198, 212, 206, 180, 199)(176, 187, 210, 204, 178, 200)(183, 193, 214, 191, 207, 202)(195, 211, 197, 209, 205, 215)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 24^4 ), ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E28.1000
Graph:: simple bipartite
	v = 45 e = 108 f = 9
	degree seq :: [ 4^27, 6^18 ]

E28.998 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 6, 6, 6})
Quotient :: loop^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2, Y2^-1 * Y1, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1^-1)^3, Y1^6, (Y3^-2 * Y1^-1)^2, (Y3 * Y1^-1)^3, Y1^-1 * Y2^-1 * Y3^-1 * Y1^-2 * Y3^-1, Y3^6, (Y1^-1 * Y3^-1 * Y2^-1)^2, Y2^6, Y1^-1 * Y3^-2 * Y1 * Y3^-2 * Y1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 55, 109, 163, 3, 57, 111, 165, 10, 64, 118, 172, 30, 84, 138, 192, 17, 71, 125, 179, 5, 59, 113, 167)(2, 56, 110, 164, 7, 61, 115, 169, 22, 76, 130, 184, 46, 100, 154, 208, 26, 80, 134, 188, 8, 62, 116, 170)(4, 58, 112, 166, 12, 66, 120, 174, 34, 88, 142, 196, 49, 103, 157, 211, 29, 83, 137, 191, 14, 68, 122, 176)(6, 60, 114, 168, 19, 73, 127, 181, 41, 95, 149, 203, 32, 86, 140, 194, 45, 99, 153, 207, 20, 74, 128, 182)(9, 63, 117, 171, 21, 75, 129, 183, 16, 70, 124, 178, 25, 79, 133, 187, 44, 98, 152, 206, 28, 82, 136, 190)(11, 65, 119, 173, 24, 78, 132, 186, 42, 96, 150, 204, 54, 108, 162, 216, 52, 106, 160, 214, 33, 87, 141, 195)(13, 67, 121, 175, 36, 90, 144, 198, 50, 104, 158, 212, 37, 91, 145, 199, 47, 101, 155, 209, 27, 81, 135, 189)(15, 69, 123, 177, 23, 77, 131, 185, 43, 97, 151, 205, 53, 107, 161, 215, 51, 105, 159, 213, 35, 89, 143, 197)(18, 72, 126, 180, 39, 93, 147, 201, 38, 92, 146, 200, 48, 102, 156, 210, 31, 85, 139, 193, 40, 94, 148, 202)
	L = (1, 56)(2, 60)(3, 63)(4, 55)(5, 69)(6, 72)(7, 75)(8, 78)(9, 81)(10, 83)(11, 57)(12, 82)(13, 58)(14, 87)(15, 91)(16, 59)(17, 92)(18, 67)(19, 70)(20, 97)(21, 68)(22, 71)(23, 61)(24, 103)(25, 62)(26, 104)(27, 105)(28, 94)(29, 95)(30, 106)(31, 64)(32, 65)(33, 102)(34, 101)(35, 66)(36, 98)(37, 96)(38, 99)(39, 79)(40, 108)(41, 80)(42, 73)(43, 84)(44, 74)(45, 88)(46, 89)(47, 76)(48, 77)(49, 107)(50, 85)(51, 86)(52, 90)(53, 93)(54, 100)(109, 164)(110, 168)(111, 171)(112, 163)(113, 177)(114, 180)(115, 183)(116, 186)(117, 189)(118, 191)(119, 165)(120, 190)(121, 166)(122, 195)(123, 199)(124, 167)(125, 200)(126, 175)(127, 178)(128, 205)(129, 176)(130, 179)(131, 169)(132, 211)(133, 170)(134, 212)(135, 213)(136, 202)(137, 203)(138, 214)(139, 172)(140, 173)(141, 210)(142, 209)(143, 174)(144, 206)(145, 204)(146, 207)(147, 187)(148, 216)(149, 188)(150, 181)(151, 192)(152, 182)(153, 196)(154, 197)(155, 184)(156, 185)(157, 215)(158, 193)(159, 194)(160, 198)(161, 201)(162, 208)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.995
Transitivity :: VT+
Graph::
	v = 9 e = 108 f = 45
	degree seq :: [ 24^9 ]

E28.999 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 6, 6, 6})
Quotient :: loop^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y2^-1 * Y1^-1, Y1^-1 * Y2^2 * Y1^-1, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3^2 * Y2 * Y1 * Y2, (Y1 * Y2)^3, Y1^-1 * Y3^-1 * Y2^-2 * Y3^-1 * Y1^-1, Y2 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y3^-1 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y2, Y3^-1 * Y1^-1 * Y2 * Y3 * Y1 * Y2^-1, Y1 * Y3^-2 * Y2^-1 * Y3^2, Y1^-2 * Y3^-2 * Y1^-1 * Y2^-1, Y2^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3^-1 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 55, 109, 163, 4, 58, 112, 166, 9, 63, 117, 171, 35, 89, 143, 197, 25, 79, 133, 187, 7, 61, 115, 169)(2, 56, 110, 164, 10, 64, 118, 172, 31, 85, 139, 193, 52, 106, 160, 214, 42, 96, 150, 204, 12, 66, 120, 174)(3, 57, 111, 165, 14, 68, 122, 176, 34, 88, 142, 196, 23, 77, 131, 185, 5, 59, 113, 167, 16, 70, 124, 178)(6, 60, 114, 168, 24, 78, 132, 186, 36, 90, 144, 198, 51, 105, 159, 213, 30, 84, 138, 192, 26, 80, 134, 188)(8, 62, 116, 170, 32, 86, 140, 194, 22, 76, 130, 184, 49, 103, 157, 211, 15, 69, 123, 177, 33, 87, 141, 195)(11, 65, 119, 173, 41, 95, 149, 203, 13, 67, 121, 175, 47, 101, 155, 209, 21, 75, 129, 183, 43, 97, 151, 205)(17, 71, 125, 179, 37, 91, 145, 199, 28, 82, 136, 190, 45, 99, 153, 207, 27, 81, 135, 189, 44, 98, 152, 206)(18, 72, 126, 180, 48, 102, 156, 210, 29, 83, 137, 191, 50, 104, 158, 212, 19, 73, 127, 181, 40, 94, 148, 202)(20, 74, 128, 182, 39, 93, 147, 201, 53, 107, 161, 215, 38, 92, 146, 200, 54, 108, 162, 216, 46, 100, 154, 208)
	L = (1, 56)(2, 62)(3, 67)(4, 71)(5, 55)(6, 69)(7, 74)(8, 84)(9, 88)(10, 91)(11, 90)(12, 94)(13, 85)(14, 92)(15, 57)(16, 98)(17, 101)(18, 86)(19, 58)(20, 95)(21, 59)(22, 96)(23, 104)(24, 93)(25, 60)(26, 99)(27, 87)(28, 61)(29, 97)(30, 75)(31, 79)(32, 82)(33, 107)(34, 76)(35, 83)(36, 63)(37, 77)(38, 80)(39, 64)(40, 68)(41, 72)(42, 65)(43, 81)(44, 105)(45, 66)(46, 70)(47, 108)(48, 106)(49, 73)(50, 78)(51, 102)(52, 100)(53, 89)(54, 103)(109, 165)(110, 171)(111, 170)(112, 180)(113, 173)(114, 163)(115, 189)(116, 193)(117, 192)(118, 200)(119, 164)(120, 206)(121, 196)(122, 210)(123, 198)(124, 201)(125, 197)(126, 209)(127, 195)(128, 166)(129, 168)(130, 167)(131, 207)(132, 202)(133, 204)(134, 208)(135, 203)(136, 211)(137, 169)(138, 184)(139, 183)(140, 191)(141, 179)(142, 187)(143, 216)(144, 175)(145, 214)(146, 185)(147, 213)(148, 172)(149, 215)(150, 177)(151, 181)(152, 176)(153, 186)(154, 174)(155, 190)(156, 188)(157, 182)(158, 178)(159, 199)(160, 212)(161, 194)(162, 205)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.996
Transitivity :: VT+
Graph::
	v = 9 e = 108 f = 45
	degree seq :: [ 24^9 ]

E28.1000 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 6, 6, 6})
Quotient :: loop^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1 * Y2^-1 * Y3, Y2 * Y1^-2 * Y2, (R * Y3)^2, R * Y2 * R * Y1, Y2 * Y3^-1 * Y2^2 * Y3^-1 * Y1^-1, Y1^-1 * Y3^-2 * Y2^-3, Y3^-1 * Y2^-1 * Y3 * Y1 * Y3^-1 * Y1, Y3 * Y1^-2 * Y3^-1 * Y1 * Y2, Y2^2 * Y1^4, Y3^2 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, (Y1^-1 * Y2^-1 * Y1^-1)^2, Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1^-1, Y3^-1 * Y2^2 * Y3 * Y2^-1 * Y1^-1, Y2^-1 * Y1 * Y3^2 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 55, 109, 163, 4, 58, 112, 166, 13, 67, 121, 175, 47, 101, 155, 209, 23, 77, 131, 185, 7, 61, 115, 169)(2, 56, 110, 164, 10, 64, 118, 172, 34, 88, 142, 196, 26, 80, 134, 188, 6, 60, 114, 168, 12, 66, 120, 174)(3, 57, 111, 165, 14, 68, 122, 176, 30, 84, 138, 192, 51, 105, 159, 213, 42, 96, 150, 204, 16, 70, 124, 178)(5, 59, 113, 167, 21, 75, 129, 183, 36, 90, 144, 198, 52, 106, 160, 214, 31, 85, 139, 193, 24, 78, 132, 186)(8, 62, 116, 170, 32, 86, 140, 194, 25, 79, 133, 187, 43, 97, 151, 205, 11, 65, 119, 173, 33, 87, 141, 195)(9, 63, 117, 171, 35, 89, 143, 197, 22, 76, 130, 184, 49, 103, 157, 211, 15, 69, 123, 177, 37, 91, 145, 199)(17, 71, 125, 179, 38, 92, 146, 200, 28, 82, 136, 190, 45, 99, 153, 207, 20, 74, 128, 182, 41, 95, 149, 203)(18, 72, 126, 180, 48, 102, 156, 210, 29, 83, 137, 191, 50, 104, 158, 212, 27, 81, 135, 189, 40, 94, 148, 202)(19, 73, 127, 181, 44, 98, 152, 206, 53, 107, 161, 215, 39, 93, 147, 201, 54, 108, 162, 216, 46, 100, 154, 208)
	L = (1, 56)(2, 62)(3, 67)(4, 71)(5, 55)(6, 69)(7, 81)(8, 84)(9, 88)(10, 92)(11, 90)(12, 98)(13, 85)(14, 93)(15, 57)(16, 94)(17, 89)(18, 101)(19, 58)(20, 87)(21, 95)(22, 59)(23, 96)(24, 100)(25, 60)(26, 104)(27, 91)(28, 61)(29, 97)(30, 76)(31, 79)(32, 82)(33, 72)(34, 77)(35, 83)(36, 63)(37, 107)(38, 78)(39, 80)(40, 64)(41, 68)(42, 65)(43, 73)(44, 106)(45, 66)(46, 70)(47, 108)(48, 105)(49, 74)(50, 75)(51, 99)(52, 102)(53, 86)(54, 103)(109, 165)(110, 171)(111, 170)(112, 180)(113, 173)(114, 163)(115, 181)(116, 193)(117, 192)(118, 201)(119, 164)(120, 202)(121, 196)(122, 210)(123, 198)(124, 203)(125, 194)(126, 197)(127, 199)(128, 166)(129, 206)(130, 168)(131, 167)(132, 212)(133, 204)(134, 207)(135, 195)(136, 211)(137, 169)(138, 185)(139, 184)(140, 191)(141, 215)(142, 187)(143, 216)(144, 175)(145, 179)(146, 213)(147, 186)(148, 214)(149, 172)(150, 177)(151, 182)(152, 176)(153, 183)(154, 174)(155, 190)(156, 188)(157, 189)(158, 178)(159, 208)(160, 200)(161, 209)(162, 205)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.997
Transitivity :: VT+
Graph::
	v = 9 e = 108 f = 45
	degree seq :: [ 24^9 ]

E28.1001 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 6, 6, 6})
Quotient :: loop^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^-1 * Y2, R * Y2 * R * Y1, (R * Y3)^2, Y1^6, Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3, Y2^6, Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y1^-2 * Y3 * Y1^-2, (Y3 * Y1^-3)^3 ]
Map:: polytopal non-degenerate
	R = (1, 55, 109, 163, 3, 57, 111, 165)(2, 56, 110, 164, 6, 60, 114, 168)(4, 58, 112, 166, 9, 63, 117, 171)(5, 59, 113, 167, 12, 66, 120, 174)(7, 61, 115, 169, 16, 70, 124, 178)(8, 62, 116, 170, 13, 67, 121, 175)(10, 64, 118, 172, 19, 73, 127, 181)(11, 65, 119, 173, 20, 74, 128, 182)(14, 68, 122, 176, 21, 75, 129, 183)(15, 69, 123, 177, 26, 80, 134, 188)(17, 71, 125, 179, 28, 82, 136, 190)(18, 72, 126, 180, 30, 84, 138, 192)(22, 76, 130, 184, 32, 86, 140, 194)(23, 77, 131, 185, 37, 91, 145, 199)(24, 78, 132, 186, 38, 92, 146, 200)(25, 79, 133, 187, 39, 93, 147, 201)(27, 81, 135, 189, 40, 94, 148, 202)(29, 83, 137, 191, 44, 98, 152, 206)(31, 85, 139, 193, 33, 87, 141, 195)(34, 88, 142, 196, 50, 104, 158, 212)(35, 89, 143, 197, 51, 105, 159, 213)(36, 90, 144, 198, 52, 106, 160, 214)(41, 95, 149, 203, 48, 102, 156, 210)(42, 96, 150, 204, 49, 103, 157, 211)(43, 97, 151, 205, 47, 101, 155, 209)(45, 99, 153, 207, 53, 107, 161, 215)(46, 100, 154, 208, 54, 108, 162, 216)
	L = (1, 56)(2, 59)(3, 61)(4, 55)(5, 65)(6, 67)(7, 69)(8, 57)(9, 72)(10, 58)(11, 64)(12, 75)(13, 77)(14, 60)(15, 79)(16, 63)(17, 62)(18, 83)(19, 85)(20, 86)(21, 88)(22, 66)(23, 90)(24, 68)(25, 71)(26, 94)(27, 70)(28, 97)(29, 96)(30, 73)(31, 100)(32, 101)(33, 74)(34, 103)(35, 76)(36, 78)(37, 82)(38, 108)(39, 102)(40, 104)(41, 80)(42, 81)(43, 105)(44, 107)(45, 84)(46, 106)(47, 93)(48, 87)(49, 89)(50, 92)(51, 98)(52, 99)(53, 91)(54, 95)(109, 164)(110, 167)(111, 169)(112, 163)(113, 173)(114, 175)(115, 177)(116, 165)(117, 180)(118, 166)(119, 172)(120, 183)(121, 185)(122, 168)(123, 187)(124, 171)(125, 170)(126, 191)(127, 193)(128, 194)(129, 196)(130, 174)(131, 198)(132, 176)(133, 179)(134, 202)(135, 178)(136, 205)(137, 204)(138, 181)(139, 208)(140, 209)(141, 182)(142, 211)(143, 184)(144, 186)(145, 190)(146, 216)(147, 210)(148, 212)(149, 188)(150, 189)(151, 213)(152, 215)(153, 192)(154, 214)(155, 201)(156, 195)(157, 197)(158, 200)(159, 206)(160, 207)(161, 199)(162, 203)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.992
Transitivity :: VT+
Graph::
	v = 27 e = 108 f = 27
	degree seq :: [ 8^27 ]

E28.1002 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 6, 6, 6})
Quotient :: loop^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^2 * Y1^-2, R * Y1 * R * Y2, (R * Y3)^2, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, Y1^6, (Y3 * Y1^-1)^3, Y2 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-1, Y3 * Y1^2 * Y3 * Y1^-1 * Y2^-1, Y3 * Y1 * Y2 * Y3 * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^3, Y2^-1 * Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y2^-2, (Y1^-1 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 55, 109, 163, 4, 58, 112, 166)(2, 56, 110, 164, 9, 63, 117, 171)(3, 57, 111, 165, 12, 66, 120, 174)(5, 59, 113, 167, 18, 72, 126, 180)(6, 60, 114, 168, 21, 75, 129, 183)(7, 61, 115, 169, 25, 79, 133, 187)(8, 62, 116, 170, 27, 81, 135, 189)(10, 64, 118, 172, 33, 87, 141, 195)(11, 65, 119, 173, 35, 89, 143, 197)(13, 67, 121, 175, 38, 92, 146, 200)(14, 68, 122, 176, 39, 93, 147, 201)(15, 69, 123, 177, 40, 94, 148, 202)(16, 70, 124, 178, 29, 83, 137, 191)(17, 71, 125, 179, 36, 90, 144, 198)(19, 73, 127, 181, 42, 96, 150, 204)(20, 74, 128, 182, 41, 95, 149, 203)(22, 76, 130, 184, 43, 97, 151, 205)(23, 77, 131, 185, 45, 99, 153, 207)(24, 78, 132, 186, 46, 100, 154, 208)(26, 80, 134, 188, 50, 104, 158, 212)(28, 82, 136, 190, 52, 106, 160, 214)(30, 84, 138, 192, 53, 107, 161, 215)(31, 85, 139, 193, 47, 101, 155, 209)(32, 86, 140, 194, 51, 105, 159, 213)(34, 88, 142, 196, 54, 108, 162, 216)(37, 91, 145, 199, 48, 102, 156, 210)(44, 98, 152, 206, 49, 103, 157, 211)
	L = (1, 56)(2, 61)(3, 65)(4, 68)(5, 55)(6, 67)(7, 77)(8, 80)(9, 83)(10, 82)(11, 78)(12, 84)(13, 57)(14, 89)(15, 79)(16, 58)(17, 87)(18, 91)(19, 59)(20, 88)(21, 85)(22, 60)(23, 73)(24, 76)(25, 101)(26, 74)(27, 102)(28, 62)(29, 104)(30, 99)(31, 63)(32, 66)(33, 69)(34, 64)(35, 105)(36, 100)(37, 106)(38, 103)(39, 72)(40, 108)(41, 70)(42, 107)(43, 71)(44, 75)(45, 94)(46, 93)(47, 97)(48, 96)(49, 81)(50, 98)(51, 95)(52, 90)(53, 92)(54, 86)(109, 165)(110, 170)(111, 169)(112, 177)(113, 172)(114, 163)(115, 186)(116, 185)(117, 192)(118, 164)(119, 188)(120, 198)(121, 190)(122, 189)(123, 197)(124, 200)(125, 166)(126, 193)(127, 168)(128, 167)(129, 194)(130, 196)(131, 182)(132, 181)(133, 210)(134, 184)(135, 213)(136, 173)(137, 208)(138, 212)(139, 214)(140, 171)(141, 211)(142, 175)(143, 209)(144, 207)(145, 174)(146, 176)(147, 216)(148, 183)(149, 179)(150, 178)(151, 215)(152, 180)(153, 201)(154, 206)(155, 203)(156, 205)(157, 187)(158, 202)(159, 204)(160, 191)(161, 195)(162, 199)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.993
Transitivity :: VT+
Graph:: simple
	v = 27 e = 108 f = 27
	degree seq :: [ 8^27 ]

E28.1003 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 6, 6, 6})
Quotient :: loop^2
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^2 * Y2^-2, (R * Y3)^2, R * Y1 * R * Y2, Y2^2 * Y1^4, Y3 * Y1 * Y2 * Y3 * Y2^-2, (Y3 * Y1^-1)^3, Y1 * Y3 * Y2 * Y1^-1 * Y3 * Y2^-1, Y2 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-1, Y3 * Y2 * Y1 * Y3 * Y1^-1 * Y2^-1, (Y3 * Y2^-1)^3, Y1 * Y2^-1 * Y1^-1 * Y2^-3 * Y1^-1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 55, 109, 163, 4, 58, 112, 166)(2, 56, 110, 164, 9, 63, 117, 171)(3, 57, 111, 165, 12, 66, 120, 174)(5, 59, 113, 167, 18, 72, 126, 180)(6, 60, 114, 168, 21, 75, 129, 183)(7, 61, 115, 169, 25, 79, 133, 187)(8, 62, 116, 170, 27, 81, 135, 189)(10, 64, 118, 172, 33, 87, 141, 195)(11, 65, 119, 173, 35, 89, 143, 197)(13, 67, 121, 175, 38, 92, 146, 200)(14, 68, 122, 176, 39, 93, 147, 201)(15, 69, 123, 177, 40, 94, 148, 202)(16, 70, 124, 178, 29, 83, 137, 191)(17, 71, 125, 179, 36, 90, 144, 198)(19, 73, 127, 181, 43, 97, 151, 205)(20, 74, 128, 182, 42, 96, 150, 204)(22, 76, 130, 184, 41, 95, 149, 203)(23, 77, 131, 185, 45, 99, 153, 207)(24, 78, 132, 186, 46, 100, 154, 208)(26, 80, 134, 188, 50, 104, 158, 212)(28, 82, 136, 190, 52, 106, 160, 214)(30, 84, 138, 192, 53, 107, 161, 215)(31, 85, 139, 193, 47, 101, 155, 209)(32, 86, 140, 194, 51, 105, 159, 213)(34, 88, 142, 196, 54, 108, 162, 216)(37, 91, 145, 199, 48, 102, 156, 210)(44, 98, 152, 206, 49, 103, 157, 211)
	L = (1, 56)(2, 61)(3, 65)(4, 68)(5, 55)(6, 67)(7, 77)(8, 80)(9, 83)(10, 82)(11, 78)(12, 84)(13, 57)(14, 81)(15, 89)(16, 58)(17, 87)(18, 86)(19, 59)(20, 88)(21, 91)(22, 60)(23, 73)(24, 76)(25, 101)(26, 74)(27, 102)(28, 62)(29, 100)(30, 104)(31, 63)(32, 66)(33, 69)(34, 64)(35, 105)(36, 99)(37, 106)(38, 103)(39, 72)(40, 108)(41, 70)(42, 107)(43, 71)(44, 75)(45, 98)(46, 94)(47, 96)(48, 95)(49, 79)(50, 93)(51, 97)(52, 90)(53, 92)(54, 85)(109, 165)(110, 170)(111, 169)(112, 177)(113, 172)(114, 163)(115, 186)(116, 185)(117, 192)(118, 164)(119, 188)(120, 198)(121, 190)(122, 187)(123, 189)(124, 200)(125, 166)(126, 199)(127, 168)(128, 167)(129, 193)(130, 196)(131, 182)(132, 181)(133, 210)(134, 184)(135, 213)(136, 173)(137, 207)(138, 208)(139, 214)(140, 171)(141, 211)(142, 175)(143, 209)(144, 212)(145, 174)(146, 176)(147, 216)(148, 183)(149, 179)(150, 178)(151, 215)(152, 180)(153, 202)(154, 201)(155, 205)(156, 204)(157, 197)(158, 206)(159, 203)(160, 191)(161, 195)(162, 194)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.994
Transitivity :: VT+
Graph:: simple
	v = 27 e = 108 f = 27
	degree seq :: [ 8^27 ]

E28.1004 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^-1 * Y2, Y3^3, (R * Y3)^2, (Y2 * R)^2, (Y3^-1 * Y2^-1)^2, (R * Y1)^2, (Y2 * Y1)^3, Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1, Y2 * Y3 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y3 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 11, 65)(4, 58, 13, 67)(5, 59, 14, 68)(6, 60, 15, 69)(7, 61, 16, 70)(8, 62, 18, 72)(9, 63, 19, 73)(10, 64, 20, 74)(12, 66, 24, 78)(17, 71, 37, 91)(21, 75, 45, 99)(22, 76, 25, 79)(23, 77, 47, 101)(26, 80, 39, 93)(27, 81, 48, 102)(28, 82, 44, 98)(29, 83, 34, 88)(30, 84, 53, 107)(31, 85, 38, 92)(32, 86, 50, 104)(33, 87, 41, 95)(35, 89, 46, 100)(36, 90, 52, 106)(40, 94, 51, 105)(42, 96, 54, 108)(43, 97, 49, 103)(109, 163, 111, 165, 112, 166, 120, 174, 114, 168, 113, 167)(110, 164, 115, 169, 116, 170, 125, 179, 118, 172, 117, 171)(119, 173, 127, 181, 129, 183, 150, 204, 131, 185, 130, 184)(121, 175, 133, 187, 134, 188, 160, 214, 136, 190, 135, 189)(122, 176, 137, 191, 138, 192, 144, 198, 139, 193, 124, 178)(123, 177, 140, 194, 141, 195, 162, 216, 143, 197, 142, 196)(126, 180, 146, 200, 147, 201, 155, 209, 149, 203, 148, 202)(128, 182, 151, 205, 152, 206, 161, 215, 154, 208, 153, 207)(132, 186, 156, 210, 157, 211, 145, 199, 159, 213, 158, 212)
	L = (1, 112)(2, 116)(3, 120)(4, 114)(5, 111)(6, 109)(7, 125)(8, 118)(9, 115)(10, 110)(11, 129)(12, 113)(13, 134)(14, 138)(15, 141)(16, 137)(17, 117)(18, 147)(19, 150)(20, 152)(21, 131)(22, 127)(23, 119)(24, 157)(25, 160)(26, 136)(27, 133)(28, 121)(29, 144)(30, 139)(31, 122)(32, 162)(33, 143)(34, 140)(35, 123)(36, 124)(37, 158)(38, 155)(39, 149)(40, 146)(41, 126)(42, 130)(43, 161)(44, 154)(45, 151)(46, 128)(47, 148)(48, 145)(49, 159)(50, 156)(51, 132)(52, 135)(53, 153)(54, 142)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12^4 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E28.1008
Graph:: bipartite
	v = 36 e = 108 f = 18
	degree seq :: [ 4^27, 12^9 ]

E28.1005 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, (Y2^-1 * Y3^-1)^2, Y1 * Y3 * Y1 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y3 * Y2^3, Y3 * Y2^-1 * Y3 * Y2^-3, (Y2^-1 * Y1)^3, Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y3, Y1 * Y2^-1 * Y3 * Y2 * Y1 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 11, 65)(4, 58, 8, 62)(5, 59, 17, 71)(6, 60, 10, 64)(7, 61, 21, 75)(9, 63, 27, 81)(12, 66, 34, 88)(13, 67, 31, 85)(14, 68, 33, 87)(15, 69, 40, 94)(16, 70, 41, 95)(18, 72, 43, 97)(19, 73, 44, 98)(20, 74, 45, 99)(22, 76, 38, 92)(23, 77, 32, 86)(24, 78, 46, 100)(25, 79, 42, 96)(26, 80, 50, 104)(28, 82, 51, 105)(29, 83, 36, 90)(30, 84, 52, 106)(35, 89, 54, 108)(37, 91, 49, 103)(39, 93, 48, 102)(47, 101, 53, 107)(109, 163, 111, 165, 120, 174, 143, 197, 127, 181, 113, 167)(110, 164, 115, 169, 130, 184, 155, 209, 137, 191, 117, 171)(112, 166, 123, 177, 144, 198, 122, 176, 147, 201, 124, 178)(114, 168, 128, 182, 145, 199, 126, 180, 146, 200, 121, 175)(116, 170, 133, 187, 152, 206, 132, 186, 157, 211, 134, 188)(118, 172, 138, 192, 156, 210, 136, 190, 142, 196, 131, 185)(119, 173, 135, 189, 148, 202, 158, 212, 153, 207, 140, 194)(125, 179, 150, 204, 149, 203, 160, 214, 139, 193, 129, 183)(141, 195, 161, 215, 151, 205, 154, 208, 162, 216, 159, 213)
	L = (1, 112)(2, 116)(3, 121)(4, 114)(5, 126)(6, 109)(7, 131)(8, 118)(9, 136)(10, 110)(11, 139)(12, 144)(13, 122)(14, 111)(15, 113)(16, 143)(17, 151)(18, 123)(19, 147)(20, 124)(21, 140)(22, 152)(23, 132)(24, 115)(25, 117)(26, 155)(27, 159)(28, 133)(29, 157)(30, 134)(31, 141)(32, 154)(33, 119)(34, 137)(35, 128)(36, 145)(37, 120)(38, 127)(39, 146)(40, 125)(41, 162)(42, 135)(43, 148)(44, 156)(45, 149)(46, 129)(47, 138)(48, 130)(49, 142)(50, 161)(51, 150)(52, 158)(53, 160)(54, 153)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12^4 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E28.1009
Graph:: simple bipartite
	v = 36 e = 108 f = 18
	degree seq :: [ 4^27, 12^9 ]

E28.1006 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, Y3^3, (Y2^-1 * Y3^-1)^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y3 * Y1 * Y2^-1, Y3 * Y2^-2 * Y3^-1 * Y2^2, Y3 * Y2^-2 * Y3^-1 * Y2^2, (Y1 * Y2^-1)^3, Y2^6, Y2 * Y3^-1 * Y2^3 * Y3^-1, (R * Y2 * Y3^-1)^2, (R * Y2 * Y1 * Y2^-1)^2 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 11, 65)(4, 58, 15, 69)(5, 59, 18, 72)(6, 60, 21, 75)(7, 61, 23, 77)(8, 62, 12, 66)(9, 63, 28, 82)(10, 64, 20, 74)(13, 67, 36, 90)(14, 68, 38, 92)(16, 70, 43, 97)(17, 71, 44, 98)(19, 73, 46, 100)(22, 76, 49, 103)(24, 78, 45, 99)(25, 79, 51, 105)(26, 80, 32, 86)(27, 81, 52, 106)(29, 83, 53, 107)(30, 84, 54, 108)(31, 85, 33, 87)(34, 88, 41, 95)(35, 89, 47, 101)(37, 91, 48, 102)(39, 93, 42, 96)(40, 94, 50, 104)(109, 163, 111, 165, 120, 174, 141, 195, 128, 182, 113, 167)(110, 164, 115, 169, 123, 177, 148, 202, 129, 183, 117, 171)(112, 166, 124, 178, 142, 196, 122, 176, 147, 201, 125, 179)(114, 168, 130, 184, 143, 197, 127, 181, 145, 199, 121, 175)(116, 170, 134, 188, 149, 203, 133, 187, 155, 209, 135, 189)(118, 172, 138, 192, 150, 204, 137, 191, 156, 210, 132, 186)(119, 173, 136, 190, 144, 198, 161, 215, 146, 200, 140, 194)(126, 180, 153, 207, 154, 208, 159, 213, 151, 205, 131, 185)(139, 193, 160, 214, 157, 211, 158, 212, 152, 206, 162, 216)
	L = (1, 112)(2, 116)(3, 121)(4, 114)(5, 127)(6, 109)(7, 132)(8, 118)(9, 137)(10, 110)(11, 139)(12, 142)(13, 122)(14, 111)(15, 149)(16, 113)(17, 141)(18, 119)(19, 124)(20, 147)(21, 155)(22, 125)(23, 158)(24, 133)(25, 115)(26, 117)(27, 148)(28, 131)(29, 134)(30, 135)(31, 126)(32, 159)(33, 130)(34, 143)(35, 120)(36, 157)(37, 128)(38, 152)(39, 145)(40, 138)(41, 150)(42, 123)(43, 146)(44, 151)(45, 162)(46, 144)(47, 156)(48, 129)(49, 154)(50, 136)(51, 160)(52, 140)(53, 153)(54, 161)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12^4 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E28.1010
Graph:: simple bipartite
	v = 36 e = 108 f = 18
	degree seq :: [ 4^27, 12^9 ]

E28.1007 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 8>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, Y2 * Y3 * Y2^-1 * Y3, (R * Y1)^2, (R * Y3)^2, R * Y2^-1 * Y3 * R * Y2^-1, (Y2 * Y1)^3, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y2 * Y3^-1 * Y2 * Y1, Y2^6, Y2^2 * Y3^-1 * Y2^2 * Y1 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 11, 65)(4, 58, 15, 69)(5, 59, 17, 71)(6, 60, 20, 74)(7, 61, 21, 75)(8, 62, 25, 79)(9, 63, 27, 81)(10, 64, 30, 84)(12, 66, 22, 76)(13, 67, 36, 90)(14, 68, 37, 91)(16, 70, 31, 85)(18, 72, 42, 96)(19, 73, 29, 83)(23, 77, 49, 103)(24, 78, 50, 104)(26, 80, 45, 99)(28, 82, 53, 107)(32, 86, 48, 102)(33, 87, 51, 105)(34, 88, 46, 100)(35, 89, 39, 93)(38, 92, 47, 101)(40, 94, 44, 98)(41, 95, 54, 108)(43, 97, 52, 106)(109, 163, 111, 165, 120, 174, 142, 196, 127, 181, 113, 167)(110, 164, 115, 169, 130, 184, 156, 210, 137, 191, 117, 171)(112, 166, 122, 176, 138, 192, 162, 216, 148, 202, 124, 178)(114, 168, 121, 175, 143, 197, 159, 213, 133, 187, 126, 180)(116, 170, 132, 186, 128, 182, 151, 205, 147, 201, 134, 188)(118, 172, 131, 185, 152, 206, 146, 200, 123, 177, 136, 190)(119, 173, 135, 189, 154, 208, 129, 183, 125, 179, 140, 194)(139, 193, 157, 211, 145, 199, 155, 209, 149, 203, 161, 215)(141, 195, 160, 214, 150, 204, 153, 207, 144, 198, 158, 212)
	L = (1, 112)(2, 116)(3, 121)(4, 114)(5, 126)(6, 109)(7, 131)(8, 118)(9, 136)(10, 110)(11, 139)(12, 138)(13, 122)(14, 111)(15, 137)(16, 113)(17, 149)(18, 124)(19, 148)(20, 152)(21, 153)(22, 128)(23, 132)(24, 115)(25, 127)(26, 117)(27, 160)(28, 134)(29, 147)(30, 143)(31, 141)(32, 158)(33, 119)(34, 159)(35, 120)(36, 125)(37, 150)(38, 151)(39, 123)(40, 133)(41, 144)(42, 154)(43, 156)(44, 130)(45, 155)(46, 145)(47, 129)(48, 146)(49, 135)(50, 161)(51, 162)(52, 157)(53, 140)(54, 142)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12^4 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E28.1011
Graph:: simple bipartite
	v = 36 e = 108 f = 18
	degree seq :: [ 4^27, 12^9 ]

E28.1008 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1 * Y2, Y3^3, (Y3^-1 * Y1^-1)^2, (Y1^-1 * Y3^-1)^2, (R * Y2)^2, (R * Y3)^2, (Y2 * Y3)^2, (R * Y1)^2, Y1^-1 * Y3^-1 * Y1^-1 * Y2^-2, Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1, Y3 * Y1^-3 * Y3 * Y1^-1, Y1^6, (Y1 * Y2^-1)^3, (Y2 * Y1^2)^2, Y1^2 * Y3^-1 * Y1^-2 * Y3 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 8, 62, 25, 79, 20, 74, 5, 59)(3, 57, 13, 67, 37, 91, 51, 105, 43, 97, 15, 69)(4, 58, 16, 70, 27, 81, 12, 66, 36, 90, 17, 71)(6, 60, 22, 76, 50, 104, 42, 96, 26, 80, 23, 77)(7, 61, 24, 78, 29, 83, 19, 73, 33, 87, 10, 64)(9, 63, 30, 84, 21, 75, 44, 98, 47, 101, 32, 86)(11, 65, 34, 88, 45, 99, 54, 108, 52, 106, 35, 89)(14, 68, 40, 94, 49, 103, 39, 93, 28, 82, 41, 95)(18, 72, 38, 92, 46, 100, 53, 107, 31, 85, 48, 102)(109, 163, 111, 165, 112, 166, 122, 176, 115, 169, 114, 168)(110, 164, 117, 171, 118, 172, 139, 193, 120, 174, 119, 173)(113, 167, 126, 180, 127, 181, 153, 207, 124, 178, 129, 183)(116, 170, 134, 188, 135, 189, 151, 205, 137, 191, 136, 190)(121, 175, 138, 192, 131, 185, 143, 197, 147, 201, 146, 200)(123, 177, 142, 196, 150, 204, 161, 215, 148, 202, 152, 206)(125, 179, 154, 208, 133, 187, 160, 214, 132, 186, 155, 209)(128, 182, 157, 211, 144, 198, 158, 212, 141, 195, 145, 199)(130, 184, 140, 194, 149, 203, 162, 216, 159, 213, 156, 210)
	L = (1, 112)(2, 118)(3, 122)(4, 115)(5, 127)(6, 111)(7, 109)(8, 135)(9, 139)(10, 120)(11, 117)(12, 110)(13, 131)(14, 114)(15, 150)(16, 113)(17, 133)(18, 153)(19, 124)(20, 144)(21, 126)(22, 149)(23, 147)(24, 125)(25, 132)(26, 151)(27, 137)(28, 134)(29, 116)(30, 143)(31, 119)(32, 162)(33, 128)(34, 161)(35, 146)(36, 141)(37, 157)(38, 138)(39, 121)(40, 123)(41, 159)(42, 148)(43, 136)(44, 142)(45, 129)(46, 160)(47, 154)(48, 140)(49, 158)(50, 145)(51, 130)(52, 155)(53, 152)(54, 156)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1004
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 12^18 ]

E28.1009 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1 * Y3^-1 * Y1, (Y2 * Y3)^2, (Y2 * Y3)^2, (Y1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, Y2^-2 * Y3^-1 * Y2^2 * Y3, (Y2^-2 * Y1^-1)^2, Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2^2 * Y3^-1 * Y2^-2 * Y3, Y2^-1 * Y3 * Y2^-3 * Y3, (Y2 * Y1^-1)^3, (Y2 * Y1)^3, (Y1 * Y2^2)^2, Y2^6 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 4, 58, 9, 63, 7, 61, 5, 59)(3, 57, 11, 65, 13, 67, 35, 89, 15, 69, 14, 68)(6, 60, 20, 74, 21, 75, 45, 99, 16, 70, 22, 76)(8, 62, 25, 79, 19, 73, 43, 97, 28, 82, 27, 81)(10, 64, 31, 85, 32, 86, 53, 107, 29, 83, 33, 87)(12, 66, 37, 91, 39, 93, 34, 88, 41, 95, 40, 94)(17, 71, 46, 100, 38, 92, 52, 106, 24, 78, 47, 101)(18, 72, 36, 90, 30, 84, 54, 108, 50, 104, 49, 103)(23, 77, 51, 105, 44, 98, 48, 102, 42, 96, 26, 80)(109, 163, 111, 165, 120, 174, 146, 200, 131, 185, 114, 168)(110, 164, 116, 170, 134, 188, 158, 212, 142, 196, 118, 172)(112, 166, 124, 178, 147, 201, 123, 177, 152, 206, 125, 179)(113, 167, 126, 180, 156, 210, 140, 194, 145, 199, 127, 181)(115, 169, 132, 186, 149, 203, 129, 183, 150, 204, 121, 175)(117, 171, 137, 191, 159, 213, 136, 190, 148, 202, 138, 192)(119, 173, 133, 187, 130, 184, 141, 195, 155, 209, 144, 198)(122, 176, 139, 193, 153, 207, 162, 216, 160, 214, 151, 205)(128, 182, 135, 189, 154, 208, 161, 215, 143, 197, 157, 211)
	L = (1, 112)(2, 117)(3, 121)(4, 115)(5, 110)(6, 129)(7, 109)(8, 127)(9, 113)(10, 140)(11, 143)(12, 147)(13, 123)(14, 119)(15, 111)(16, 114)(17, 146)(18, 138)(19, 136)(20, 153)(21, 124)(22, 128)(23, 152)(24, 125)(25, 151)(26, 159)(27, 133)(28, 116)(29, 118)(30, 158)(31, 161)(32, 137)(33, 139)(34, 148)(35, 122)(36, 162)(37, 142)(38, 132)(39, 149)(40, 145)(41, 120)(42, 131)(43, 135)(44, 150)(45, 130)(46, 160)(47, 154)(48, 134)(49, 144)(50, 126)(51, 156)(52, 155)(53, 141)(54, 157)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1005
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 12^18 ]

E28.1010 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 5>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y2^-1 * Y3^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1)^2, Y1^-1 * Y3^-1 * Y2^-2 * Y1^-1, Y1^-1 * Y2^-2 * Y3^-1 * Y1^-1, Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1, (Y2 * Y1^-1)^3, Y3 * Y1^-1 * Y3 * Y1^-3, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y1^-1, Y1^-1 * R * Y2^-1 * R * Y2 * Y1^-1, Y3 * Y2^-1 * Y3 * Y2^-3 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 8, 62, 32, 86, 24, 78, 5, 59)(3, 57, 13, 67, 19, 73, 51, 105, 31, 85, 16, 70)(4, 58, 18, 72, 29, 83, 12, 66, 41, 95, 20, 74)(6, 60, 26, 80, 21, 75, 46, 100, 15, 69, 28, 82)(7, 61, 30, 84, 33, 87, 23, 77, 14, 68, 10, 64)(9, 63, 34, 88, 25, 79, 48, 102, 42, 96, 36, 90)(11, 65, 38, 92, 37, 91, 53, 107, 35, 89, 40, 94)(17, 71, 49, 103, 27, 81, 47, 101, 45, 99, 43, 97)(22, 76, 44, 98, 39, 93, 54, 108, 50, 104, 52, 106)(109, 163, 111, 165, 122, 176, 153, 207, 137, 191, 114, 168)(110, 164, 117, 171, 126, 180, 158, 212, 138, 192, 119, 173)(112, 166, 127, 181, 132, 186, 125, 179, 141, 195, 129, 183)(113, 167, 130, 184, 128, 182, 145, 199, 118, 172, 133, 187)(115, 169, 139, 193, 149, 203, 135, 189, 116, 170, 123, 177)(120, 174, 150, 204, 131, 185, 147, 201, 140, 194, 143, 197)(121, 175, 142, 196, 136, 190, 148, 202, 157, 211, 152, 206)(124, 178, 146, 200, 154, 208, 162, 216, 151, 205, 156, 210)(134, 188, 144, 198, 155, 209, 161, 215, 159, 213, 160, 214)
	L = (1, 112)(2, 118)(3, 123)(4, 115)(5, 131)(6, 135)(7, 109)(8, 137)(9, 143)(10, 120)(11, 147)(12, 110)(13, 151)(14, 132)(15, 125)(16, 155)(17, 111)(18, 113)(19, 114)(20, 140)(21, 153)(22, 117)(23, 126)(24, 149)(25, 119)(26, 121)(27, 127)(28, 124)(29, 141)(30, 128)(31, 129)(32, 138)(33, 116)(34, 160)(35, 130)(36, 162)(37, 158)(38, 142)(39, 133)(40, 144)(41, 122)(42, 145)(43, 134)(44, 161)(45, 139)(46, 159)(47, 136)(48, 152)(49, 154)(50, 150)(51, 157)(52, 146)(53, 156)(54, 148)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1006
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 12^18 ]

E28.1011 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C2 (small group id <54, 8>)
Aut   = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y2^-2 * Y1^-2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1^-1)^3, Y3 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1, Y1^2 * Y2^-4, Y1^6, (Y2 * Y1^-1)^3 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 8, 62, 26, 80, 14, 68, 5, 59)(3, 57, 13, 67, 6, 60, 23, 77, 28, 82, 16, 70)(4, 58, 18, 72, 27, 81, 12, 66, 38, 92, 19, 73)(7, 61, 25, 79, 29, 83, 22, 76, 34, 88, 10, 64)(9, 63, 30, 84, 11, 65, 36, 90, 21, 75, 32, 86)(15, 69, 41, 95, 24, 78, 40, 94, 48, 102, 42, 96)(17, 71, 44, 98, 20, 74, 43, 97, 47, 101, 39, 93)(31, 85, 51, 105, 37, 91, 50, 104, 45, 99, 52, 106)(33, 87, 54, 108, 35, 89, 53, 107, 46, 100, 49, 103)(109, 163, 111, 165, 122, 176, 136, 190, 116, 170, 114, 168)(110, 164, 117, 171, 113, 167, 129, 183, 134, 188, 119, 173)(112, 166, 125, 179, 146, 200, 155, 209, 135, 189, 128, 182)(115, 169, 123, 177, 142, 196, 156, 210, 137, 191, 132, 186)(118, 172, 141, 195, 130, 184, 154, 208, 133, 187, 143, 197)(120, 174, 139, 193, 126, 180, 153, 207, 127, 181, 145, 199)(121, 175, 140, 194, 124, 178, 144, 198, 131, 185, 138, 192)(147, 201, 159, 213, 151, 205, 160, 214, 152, 206, 158, 212)(148, 202, 161, 215, 149, 203, 162, 216, 150, 204, 157, 211)
	L = (1, 112)(2, 118)(3, 123)(4, 115)(5, 130)(6, 132)(7, 109)(8, 135)(9, 139)(10, 120)(11, 145)(12, 110)(13, 147)(14, 146)(15, 125)(16, 151)(17, 111)(18, 113)(19, 134)(20, 114)(21, 153)(22, 126)(23, 152)(24, 128)(25, 127)(26, 133)(27, 137)(28, 156)(29, 116)(30, 157)(31, 141)(32, 161)(33, 117)(34, 122)(35, 119)(36, 162)(37, 143)(38, 142)(39, 148)(40, 121)(41, 124)(42, 131)(43, 149)(44, 150)(45, 154)(46, 129)(47, 136)(48, 155)(49, 158)(50, 138)(51, 140)(52, 144)(53, 159)(54, 160)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1007
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 12^18 ]

E28.1012 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 6, 6, 6})
Quotient :: edge^2
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = C3 x S3 x S3 (small group id <108, 38>)
|r| :: 2
Presentation :: [ R^2, (Y1, Y2^-1), Y2^-1 * Y3^2 * Y1^-1, R * Y1 * R * Y2, Y1^-1 * Y3^2 * Y2^-1, (R * Y3)^2, Y1^3 * Y2^3, Y3^-1 * Y1^2 * Y3^-1 * Y1^-1 * Y2, Y1^-1 * Y3^-4 * Y2^-1, Y2^6, Y3^-1 * Y2 * Y3 * Y1^-1 * Y3^-1 * Y2, Y1^6 ]
Map:: non-degenerate
	R = (1, 55, 4, 58, 9, 63, 34, 88, 22, 76, 7, 61)(2, 56, 10, 64, 29, 83, 25, 79, 6, 60, 12, 66)(3, 57, 14, 68, 33, 87, 23, 77, 5, 59, 16, 70)(8, 62, 30, 84, 24, 78, 40, 94, 11, 65, 32, 86)(13, 67, 43, 97, 21, 75, 47, 101, 15, 69, 44, 98)(17, 71, 45, 99, 27, 81, 48, 102, 20, 74, 46, 100)(18, 72, 35, 89, 26, 80, 42, 96, 19, 73, 38, 92)(28, 82, 49, 103, 39, 93, 53, 107, 31, 85, 50, 104)(36, 90, 51, 105, 41, 95, 54, 108, 37, 91, 52, 106)(109, 110, 116, 136, 129, 113)(111, 117, 137, 132, 147, 123)(112, 125, 138, 159, 155, 127)(114, 119, 139, 121, 141, 130)(115, 128, 140, 160, 151, 134)(118, 143, 157, 156, 124, 145)(120, 146, 158, 153, 131, 149)(122, 144, 133, 150, 161, 154)(126, 142, 135, 148, 162, 152)(163, 165, 175, 190, 186, 168)(164, 171, 195, 183, 201, 173)(166, 180, 205, 213, 202, 182)(167, 177, 193, 170, 191, 184)(169, 181, 206, 214, 192, 189)(172, 198, 185, 210, 215, 200)(174, 199, 176, 207, 211, 204)(178, 208, 212, 197, 187, 203)(179, 196, 188, 209, 216, 194)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 8^6 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E28.1015
Graph:: simple bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.1013 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 6, 6, 6})
Quotient :: edge^2
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = C3 x S3 x S3 (small group id <108, 38>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2, Y1), R * Y1 * R * Y2, (R * Y3)^2, Y2^3 * Y1^3, Y3 * Y1 * Y2 * Y3 * Y2^-1 * Y1^-1, Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-1, Y3 * Y2 * Y1^-1 * Y3 * Y1 * Y2^-1, Y1^6, Y2^6, (Y3 * Y1^-1)^3, (Y3 * Y2^-1)^3, Y1^-1 * Y2 * Y3 * Y2^2 * Y3 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 55, 4, 58)(2, 56, 9, 63)(3, 57, 12, 66)(5, 59, 18, 72)(6, 60, 21, 75)(7, 61, 25, 79)(8, 62, 28, 82)(10, 64, 33, 87)(11, 65, 35, 89)(13, 67, 38, 92)(14, 68, 39, 93)(15, 69, 40, 94)(16, 70, 29, 83)(17, 71, 36, 90)(19, 73, 41, 95)(20, 74, 42, 96)(22, 76, 43, 97)(23, 77, 45, 99)(24, 78, 46, 100)(26, 80, 50, 104)(27, 81, 51, 105)(30, 84, 53, 107)(31, 85, 47, 101)(32, 86, 52, 106)(34, 88, 54, 108)(37, 91, 48, 102)(44, 98, 49, 103)(109, 110, 115, 131, 127, 113)(111, 116, 132, 130, 142, 121)(112, 122, 133, 155, 149, 124)(114, 118, 134, 119, 135, 128)(117, 137, 153, 147, 126, 139)(120, 138, 154, 148, 162, 145)(123, 136, 156, 151, 161, 146)(125, 141, 157, 143, 160, 150)(129, 140, 158, 144, 159, 152)(163, 165, 173, 185, 184, 168)(164, 170, 189, 181, 196, 172)(166, 177, 197, 209, 205, 179)(167, 175, 188, 169, 186, 182)(171, 192, 213, 201, 216, 194)(174, 198, 207, 202, 183, 193)(176, 190, 214, 203, 215, 195)(178, 200, 211, 187, 210, 204)(180, 199, 212, 191, 208, 206)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 24^4 ), ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E28.1014
Graph:: simple bipartite
	v = 45 e = 108 f = 9
	degree seq :: [ 4^27, 6^18 ]

E28.1014 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 6, 6, 6})
Quotient :: loop^2
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = C3 x S3 x S3 (small group id <108, 38>)
|r| :: 2
Presentation :: [ R^2, (Y1, Y2^-1), Y2^-1 * Y3^2 * Y1^-1, R * Y1 * R * Y2, Y1^-1 * Y3^2 * Y2^-1, (R * Y3)^2, Y1^3 * Y2^3, Y3^-1 * Y1^2 * Y3^-1 * Y1^-1 * Y2, Y1^-1 * Y3^-4 * Y2^-1, Y2^6, Y3^-1 * Y2 * Y3 * Y1^-1 * Y3^-1 * Y2, Y1^6 ]
Map:: non-degenerate
	R = (1, 55, 109, 163, 4, 58, 112, 166, 9, 63, 117, 171, 34, 88, 142, 196, 22, 76, 130, 184, 7, 61, 115, 169)(2, 56, 110, 164, 10, 64, 118, 172, 29, 83, 137, 191, 25, 79, 133, 187, 6, 60, 114, 168, 12, 66, 120, 174)(3, 57, 111, 165, 14, 68, 122, 176, 33, 87, 141, 195, 23, 77, 131, 185, 5, 59, 113, 167, 16, 70, 124, 178)(8, 62, 116, 170, 30, 84, 138, 192, 24, 78, 132, 186, 40, 94, 148, 202, 11, 65, 119, 173, 32, 86, 140, 194)(13, 67, 121, 175, 43, 97, 151, 205, 21, 75, 129, 183, 47, 101, 155, 209, 15, 69, 123, 177, 44, 98, 152, 206)(17, 71, 125, 179, 45, 99, 153, 207, 27, 81, 135, 189, 48, 102, 156, 210, 20, 74, 128, 182, 46, 100, 154, 208)(18, 72, 126, 180, 35, 89, 143, 197, 26, 80, 134, 188, 42, 96, 150, 204, 19, 73, 127, 181, 38, 92, 146, 200)(28, 82, 136, 190, 49, 103, 157, 211, 39, 93, 147, 201, 53, 107, 161, 215, 31, 85, 139, 193, 50, 104, 158, 212)(36, 90, 144, 198, 51, 105, 159, 213, 41, 95, 149, 203, 54, 108, 162, 216, 37, 91, 145, 199, 52, 106, 160, 214)
	L = (1, 56)(2, 62)(3, 63)(4, 71)(5, 55)(6, 65)(7, 74)(8, 82)(9, 83)(10, 89)(11, 85)(12, 92)(13, 87)(14, 90)(15, 57)(16, 91)(17, 84)(18, 88)(19, 58)(20, 86)(21, 59)(22, 60)(23, 95)(24, 93)(25, 96)(26, 61)(27, 94)(28, 75)(29, 78)(30, 105)(31, 67)(32, 106)(33, 76)(34, 81)(35, 103)(36, 79)(37, 64)(38, 104)(39, 69)(40, 108)(41, 66)(42, 107)(43, 80)(44, 72)(45, 77)(46, 68)(47, 73)(48, 70)(49, 102)(50, 99)(51, 101)(52, 97)(53, 100)(54, 98)(109, 165)(110, 171)(111, 175)(112, 180)(113, 177)(114, 163)(115, 181)(116, 191)(117, 195)(118, 198)(119, 164)(120, 199)(121, 190)(122, 207)(123, 193)(124, 208)(125, 196)(126, 205)(127, 206)(128, 166)(129, 201)(130, 167)(131, 210)(132, 168)(133, 203)(134, 209)(135, 169)(136, 186)(137, 184)(138, 189)(139, 170)(140, 179)(141, 183)(142, 188)(143, 187)(144, 185)(145, 176)(146, 172)(147, 173)(148, 182)(149, 178)(150, 174)(151, 213)(152, 214)(153, 211)(154, 212)(155, 216)(156, 215)(157, 204)(158, 197)(159, 202)(160, 192)(161, 200)(162, 194)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.1013
Transitivity :: VT+
Graph::
	v = 9 e = 108 f = 45
	degree seq :: [ 24^9 ]

E28.1015 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 6, 6, 6})
Quotient :: loop^2
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = C3 x S3 x S3 (small group id <108, 38>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2, Y1), R * Y1 * R * Y2, (R * Y3)^2, Y2^3 * Y1^3, Y3 * Y1 * Y2 * Y3 * Y2^-1 * Y1^-1, Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-1, Y3 * Y2 * Y1^-1 * Y3 * Y1 * Y2^-1, Y1^6, Y2^6, (Y3 * Y1^-1)^3, (Y3 * Y2^-1)^3, Y1^-1 * Y2 * Y3 * Y2^2 * Y3 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 55, 109, 163, 4, 58, 112, 166)(2, 56, 110, 164, 9, 63, 117, 171)(3, 57, 111, 165, 12, 66, 120, 174)(5, 59, 113, 167, 18, 72, 126, 180)(6, 60, 114, 168, 21, 75, 129, 183)(7, 61, 115, 169, 25, 79, 133, 187)(8, 62, 116, 170, 28, 82, 136, 190)(10, 64, 118, 172, 33, 87, 141, 195)(11, 65, 119, 173, 35, 89, 143, 197)(13, 67, 121, 175, 38, 92, 146, 200)(14, 68, 122, 176, 39, 93, 147, 201)(15, 69, 123, 177, 40, 94, 148, 202)(16, 70, 124, 178, 29, 83, 137, 191)(17, 71, 125, 179, 36, 90, 144, 198)(19, 73, 127, 181, 41, 95, 149, 203)(20, 74, 128, 182, 42, 96, 150, 204)(22, 76, 130, 184, 43, 97, 151, 205)(23, 77, 131, 185, 45, 99, 153, 207)(24, 78, 132, 186, 46, 100, 154, 208)(26, 80, 134, 188, 50, 104, 158, 212)(27, 81, 135, 189, 51, 105, 159, 213)(30, 84, 138, 192, 53, 107, 161, 215)(31, 85, 139, 193, 47, 101, 155, 209)(32, 86, 140, 194, 52, 106, 160, 214)(34, 88, 142, 196, 54, 108, 162, 216)(37, 91, 145, 199, 48, 102, 156, 210)(44, 98, 152, 206, 49, 103, 157, 211)
	L = (1, 56)(2, 61)(3, 62)(4, 68)(5, 55)(6, 64)(7, 77)(8, 78)(9, 83)(10, 80)(11, 81)(12, 84)(13, 57)(14, 79)(15, 82)(16, 58)(17, 87)(18, 85)(19, 59)(20, 60)(21, 86)(22, 88)(23, 73)(24, 76)(25, 101)(26, 65)(27, 74)(28, 102)(29, 99)(30, 100)(31, 63)(32, 104)(33, 103)(34, 67)(35, 106)(36, 105)(37, 66)(38, 69)(39, 72)(40, 108)(41, 70)(42, 71)(43, 107)(44, 75)(45, 93)(46, 94)(47, 95)(48, 97)(49, 89)(50, 90)(51, 98)(52, 96)(53, 92)(54, 91)(109, 165)(110, 170)(111, 173)(112, 177)(113, 175)(114, 163)(115, 186)(116, 189)(117, 192)(118, 164)(119, 185)(120, 198)(121, 188)(122, 190)(123, 197)(124, 200)(125, 166)(126, 199)(127, 196)(128, 167)(129, 193)(130, 168)(131, 184)(132, 182)(133, 210)(134, 169)(135, 181)(136, 214)(137, 208)(138, 213)(139, 174)(140, 171)(141, 176)(142, 172)(143, 209)(144, 207)(145, 212)(146, 211)(147, 216)(148, 183)(149, 215)(150, 178)(151, 179)(152, 180)(153, 202)(154, 206)(155, 205)(156, 204)(157, 187)(158, 191)(159, 201)(160, 203)(161, 195)(162, 194)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1012
Transitivity :: VT+
Graph:: simple
	v = 27 e = 108 f = 27
	degree seq :: [ 8^27 ]

E28.1016 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, Y3 * Y1 * Y3^-1 * Y1, (Y3, Y2), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2^-2 * Y1 * Y2^2 * Y1, Y2^6, (Y2^-1 * Y1)^3 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 11, 65)(4, 58, 8, 62)(5, 59, 16, 70)(6, 60, 10, 64)(7, 61, 19, 73)(9, 63, 24, 78)(12, 66, 20, 74)(13, 67, 27, 81)(14, 68, 29, 83)(15, 69, 33, 87)(17, 71, 25, 79)(18, 72, 35, 89)(21, 75, 37, 91)(22, 76, 39, 93)(23, 77, 43, 97)(26, 80, 45, 99)(28, 82, 40, 94)(30, 84, 38, 92)(31, 85, 41, 95)(32, 86, 42, 96)(34, 88, 44, 98)(36, 90, 46, 100)(47, 101, 53, 107)(48, 102, 54, 108)(49, 103, 51, 105)(50, 104, 52, 106)(109, 163, 111, 165, 120, 174, 138, 192, 125, 179, 113, 167)(110, 164, 115, 169, 128, 182, 148, 202, 133, 187, 117, 171)(112, 166, 121, 175, 139, 193, 157, 211, 142, 196, 123, 177)(114, 168, 122, 176, 140, 194, 158, 212, 144, 198, 126, 180)(116, 170, 129, 183, 149, 203, 161, 215, 152, 206, 131, 185)(118, 172, 130, 184, 150, 204, 162, 216, 154, 208, 134, 188)(119, 173, 132, 186, 146, 200, 127, 181, 124, 178, 136, 190)(135, 189, 151, 205, 159, 213, 145, 199, 141, 195, 155, 209)(137, 191, 153, 207, 160, 214, 147, 201, 143, 197, 156, 210)
	L = (1, 112)(2, 116)(3, 121)(4, 114)(5, 123)(6, 109)(7, 129)(8, 118)(9, 131)(10, 110)(11, 135)(12, 139)(13, 122)(14, 111)(15, 126)(16, 141)(17, 142)(18, 113)(19, 145)(20, 149)(21, 130)(22, 115)(23, 134)(24, 151)(25, 152)(26, 117)(27, 137)(28, 155)(29, 119)(30, 157)(31, 140)(32, 120)(33, 143)(34, 144)(35, 124)(36, 125)(37, 147)(38, 159)(39, 127)(40, 161)(41, 150)(42, 128)(43, 153)(44, 154)(45, 132)(46, 133)(47, 156)(48, 136)(49, 158)(50, 138)(51, 160)(52, 146)(53, 162)(54, 148)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12^4 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E28.1017
Graph:: simple bipartite
	v = 36 e = 108 f = 18
	degree seq :: [ 4^27, 12^9 ]

E28.1017 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = C3 x C3 x S3 (small group id <54, 12>)
Aut   = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1 * Y3^-1 * Y1, (Y2, Y3), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y1 * Y3)^2, Y2^6, (Y2 * Y1^-1)^3, Y1 * Y2^2 * Y1^-1 * Y2^-2, (Y1^-1 * Y2^-1)^3 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 4, 58, 9, 63, 7, 61, 5, 59)(3, 57, 11, 65, 13, 67, 32, 86, 15, 69, 14, 68)(6, 60, 19, 73, 16, 70, 39, 93, 22, 76, 20, 74)(8, 62, 23, 77, 25, 79, 41, 95, 17, 71, 26, 80)(10, 64, 28, 82, 27, 81, 31, 85, 18, 72, 29, 83)(12, 66, 24, 78, 35, 89, 46, 100, 37, 91, 36, 90)(21, 75, 30, 84, 40, 94, 48, 102, 43, 97, 42, 96)(33, 87, 51, 105, 50, 104, 45, 99, 38, 92, 52, 106)(34, 88, 49, 103, 53, 107, 47, 101, 54, 108, 44, 98)(109, 163, 111, 165, 120, 174, 142, 196, 129, 183, 114, 168)(110, 164, 116, 170, 132, 186, 153, 207, 138, 192, 118, 172)(112, 166, 121, 175, 143, 197, 161, 215, 148, 202, 124, 178)(113, 167, 125, 179, 144, 198, 159, 213, 150, 204, 126, 180)(115, 169, 123, 177, 145, 199, 162, 216, 151, 205, 130, 184)(117, 171, 133, 187, 154, 208, 160, 214, 156, 210, 135, 189)(119, 173, 139, 193, 157, 211, 149, 203, 127, 181, 141, 195)(122, 176, 136, 190, 152, 206, 131, 185, 128, 182, 146, 200)(134, 188, 147, 201, 158, 212, 140, 194, 137, 191, 155, 209)
	L = (1, 112)(2, 117)(3, 121)(4, 115)(5, 110)(6, 124)(7, 109)(8, 133)(9, 113)(10, 135)(11, 140)(12, 143)(13, 123)(14, 119)(15, 111)(16, 130)(17, 116)(18, 118)(19, 147)(20, 127)(21, 148)(22, 114)(23, 149)(24, 154)(25, 125)(26, 131)(27, 126)(28, 139)(29, 136)(30, 156)(31, 137)(32, 122)(33, 158)(34, 161)(35, 145)(36, 132)(37, 120)(38, 141)(39, 128)(40, 151)(41, 134)(42, 138)(43, 129)(44, 157)(45, 160)(46, 144)(47, 152)(48, 150)(49, 155)(50, 146)(51, 153)(52, 159)(53, 162)(54, 142)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1016
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 12^18 ]

E28.1018 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^-3 * Y2, (Y3, Y2), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^-1 * Y1 * Y2 * Y1, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 7, 61)(4, 58, 13, 67)(5, 59, 9, 63)(6, 60, 16, 70)(8, 62, 19, 73)(10, 64, 22, 76)(11, 65, 23, 77)(12, 66, 24, 78)(14, 68, 26, 80)(15, 69, 28, 82)(17, 71, 31, 85)(18, 72, 32, 86)(20, 74, 34, 88)(21, 75, 36, 90)(25, 79, 33, 87)(27, 81, 37, 91)(29, 83, 35, 89)(30, 84, 38, 92)(39, 93, 47, 101)(40, 94, 49, 103)(41, 95, 48, 102)(42, 96, 50, 104)(43, 97, 51, 105)(44, 98, 53, 107)(45, 99, 52, 106)(46, 100, 54, 108)(109, 163, 111, 165, 113, 167)(110, 164, 115, 169, 117, 171)(112, 166, 119, 173, 122, 176)(114, 168, 120, 174, 123, 177)(116, 170, 125, 179, 128, 182)(118, 172, 126, 180, 129, 183)(121, 175, 131, 185, 134, 188)(124, 178, 132, 186, 136, 190)(127, 181, 139, 193, 142, 196)(130, 184, 140, 194, 144, 198)(133, 187, 147, 201, 151, 205)(135, 189, 148, 202, 152, 206)(137, 191, 149, 203, 153, 207)(138, 192, 150, 204, 154, 208)(141, 195, 155, 209, 159, 213)(143, 197, 156, 210, 160, 214)(145, 199, 157, 211, 161, 215)(146, 200, 158, 212, 162, 216)
	L = (1, 112)(2, 116)(3, 119)(4, 120)(5, 122)(6, 109)(7, 125)(8, 126)(9, 128)(10, 110)(11, 123)(12, 111)(13, 133)(14, 114)(15, 113)(16, 137)(17, 129)(18, 115)(19, 141)(20, 118)(21, 117)(22, 145)(23, 147)(24, 149)(25, 148)(26, 151)(27, 121)(28, 153)(29, 150)(30, 124)(31, 155)(32, 157)(33, 156)(34, 159)(35, 127)(36, 161)(37, 158)(38, 130)(39, 152)(40, 131)(41, 154)(42, 132)(43, 135)(44, 134)(45, 138)(46, 136)(47, 160)(48, 139)(49, 162)(50, 140)(51, 143)(52, 142)(53, 146)(54, 144)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 18, 36, 18, 36 ), ( 18, 36, 18, 36, 18, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.1046
Graph:: simple bipartite
	v = 45 e = 108 f = 9
	degree seq :: [ 4^27, 6^18 ]

E28.1019 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^-3 * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2)^2, (R * Y1 * Y2)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1, (Y3 * Y2^-1)^9 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 7, 61)(4, 58, 13, 67)(5, 59, 9, 63)(6, 60, 16, 70)(8, 62, 19, 73)(10, 64, 22, 76)(11, 65, 23, 77)(12, 66, 24, 78)(14, 68, 28, 82)(15, 69, 26, 80)(17, 71, 31, 85)(18, 72, 32, 86)(20, 74, 36, 90)(21, 75, 34, 88)(25, 79, 33, 87)(27, 81, 37, 91)(29, 83, 35, 89)(30, 84, 38, 92)(39, 93, 47, 101)(40, 94, 49, 103)(41, 95, 48, 102)(42, 96, 50, 104)(43, 97, 53, 107)(44, 98, 52, 106)(45, 99, 51, 105)(46, 100, 54, 108)(109, 163, 111, 165, 113, 167)(110, 164, 115, 169, 117, 171)(112, 166, 119, 173, 123, 177)(114, 168, 120, 174, 122, 176)(116, 170, 125, 179, 129, 183)(118, 172, 126, 180, 128, 182)(121, 175, 131, 185, 134, 188)(124, 178, 132, 186, 136, 190)(127, 181, 139, 193, 142, 196)(130, 184, 140, 194, 144, 198)(133, 187, 147, 201, 152, 206)(135, 189, 148, 202, 151, 205)(137, 191, 149, 203, 153, 207)(138, 192, 150, 204, 154, 208)(141, 195, 155, 209, 160, 214)(143, 197, 156, 210, 159, 213)(145, 199, 157, 211, 161, 215)(146, 200, 158, 212, 162, 216)
	L = (1, 112)(2, 116)(3, 119)(4, 122)(5, 123)(6, 109)(7, 125)(8, 128)(9, 129)(10, 110)(11, 114)(12, 111)(13, 133)(14, 113)(15, 120)(16, 137)(17, 118)(18, 115)(19, 141)(20, 117)(21, 126)(22, 145)(23, 147)(24, 149)(25, 151)(26, 152)(27, 121)(28, 153)(29, 154)(30, 124)(31, 155)(32, 157)(33, 159)(34, 160)(35, 127)(36, 161)(37, 162)(38, 130)(39, 135)(40, 131)(41, 138)(42, 132)(43, 134)(44, 148)(45, 150)(46, 136)(47, 143)(48, 139)(49, 146)(50, 140)(51, 142)(52, 156)(53, 158)(54, 144)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 18, 36, 18, 36 ), ( 18, 36, 18, 36, 18, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.1049
Graph:: simple bipartite
	v = 45 e = 108 f = 9
	degree seq :: [ 4^27, 6^18 ]

E28.1020 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2^-1 * Y1)^2, Y3 * Y1 * Y3^-1 * Y1, Y3^9 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 9, 63)(4, 58, 8, 62)(5, 59, 7, 61)(6, 60, 10, 64)(11, 65, 20, 74)(12, 66, 21, 75)(13, 67, 19, 73)(14, 68, 17, 71)(15, 69, 18, 72)(16, 70, 22, 76)(23, 77, 32, 86)(24, 78, 33, 87)(25, 79, 31, 85)(26, 80, 29, 83)(27, 81, 30, 84)(28, 82, 34, 88)(35, 89, 44, 98)(36, 90, 45, 99)(37, 91, 43, 97)(38, 92, 41, 95)(39, 93, 42, 96)(40, 94, 46, 100)(47, 101, 53, 107)(48, 102, 54, 108)(49, 103, 51, 105)(50, 104, 52, 106)(109, 163, 111, 165, 113, 167)(110, 164, 115, 169, 117, 171)(112, 166, 119, 173, 122, 176)(114, 168, 120, 174, 123, 177)(116, 170, 125, 179, 128, 182)(118, 172, 126, 180, 129, 183)(121, 175, 131, 185, 134, 188)(124, 178, 132, 186, 135, 189)(127, 181, 137, 191, 140, 194)(130, 184, 138, 192, 141, 195)(133, 187, 143, 197, 146, 200)(136, 190, 144, 198, 147, 201)(139, 193, 149, 203, 152, 206)(142, 196, 150, 204, 153, 207)(145, 199, 155, 209, 157, 211)(148, 202, 156, 210, 158, 212)(151, 205, 159, 213, 161, 215)(154, 208, 160, 214, 162, 216)
	L = (1, 112)(2, 116)(3, 119)(4, 121)(5, 122)(6, 109)(7, 125)(8, 127)(9, 128)(10, 110)(11, 131)(12, 111)(13, 133)(14, 134)(15, 113)(16, 114)(17, 137)(18, 115)(19, 139)(20, 140)(21, 117)(22, 118)(23, 143)(24, 120)(25, 145)(26, 146)(27, 123)(28, 124)(29, 149)(30, 126)(31, 151)(32, 152)(33, 129)(34, 130)(35, 155)(36, 132)(37, 148)(38, 157)(39, 135)(40, 136)(41, 159)(42, 138)(43, 154)(44, 161)(45, 141)(46, 142)(47, 156)(48, 144)(49, 158)(50, 147)(51, 160)(52, 150)(53, 162)(54, 153)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 18, 36, 18, 36 ), ( 18, 36, 18, 36, 18, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.1039
Graph:: simple bipartite
	v = 45 e = 108 f = 9
	degree seq :: [ 4^27, 6^18 ]

E28.1021 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (R * Y1)^2, (Y1 * Y2)^2, (Y3, Y2^-1), (R * Y3)^2, (R * Y2)^2, Y1 * Y2 * Y3 * Y1 * Y3^-1, Y3^9, (Y3^-2 * Y1 * Y3^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56)(3, 57, 9, 63)(4, 58, 13, 67)(5, 59, 7, 61)(6, 60, 17, 71)(8, 62, 11, 65)(10, 64, 16, 70)(12, 66, 19, 73)(14, 68, 26, 80)(15, 69, 21, 75)(18, 72, 31, 85)(20, 74, 28, 82)(22, 76, 24, 78)(23, 77, 25, 79)(27, 81, 33, 87)(29, 83, 30, 84)(32, 86, 34, 88)(35, 89, 38, 92)(36, 90, 42, 96)(37, 91, 40, 94)(39, 93, 49, 103)(41, 95, 43, 97)(44, 98, 53, 107)(45, 99, 47, 101)(46, 100, 52, 106)(48, 102, 54, 108)(50, 104, 51, 105)(109, 163, 111, 165, 113, 167)(110, 164, 115, 169, 117, 171)(112, 166, 119, 173, 123, 177)(114, 168, 120, 174, 124, 178)(116, 170, 121, 175, 129, 183)(118, 172, 127, 181, 125, 179)(122, 176, 131, 185, 136, 190)(126, 180, 132, 186, 137, 191)(128, 182, 133, 187, 134, 188)(130, 184, 139, 193, 138, 192)(135, 189, 143, 197, 148, 202)(140, 194, 144, 198, 149, 203)(141, 195, 145, 199, 146, 200)(142, 196, 151, 205, 150, 204)(147, 201, 155, 209, 159, 213)(152, 206, 156, 210, 160, 214)(153, 207, 157, 211, 158, 212)(154, 208, 162, 216, 161, 215)
	L = (1, 112)(2, 116)(3, 119)(4, 122)(5, 123)(6, 109)(7, 121)(8, 128)(9, 129)(10, 110)(11, 131)(12, 111)(13, 133)(14, 135)(15, 136)(16, 113)(17, 117)(18, 114)(19, 115)(20, 141)(21, 134)(22, 118)(23, 143)(24, 120)(25, 145)(26, 146)(27, 147)(28, 148)(29, 124)(30, 125)(31, 127)(32, 126)(33, 153)(34, 130)(35, 155)(36, 132)(37, 157)(38, 158)(39, 152)(40, 159)(41, 137)(42, 138)(43, 139)(44, 140)(45, 154)(46, 142)(47, 156)(48, 144)(49, 162)(50, 161)(51, 160)(52, 149)(53, 150)(54, 151)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 18, 36, 18, 36 ), ( 18, 36, 18, 36, 18, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.1042
Graph:: simple bipartite
	v = 45 e = 108 f = 9
	degree seq :: [ 4^27, 6^18 ]

E28.1022 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (R * Y2)^2, (Y3, Y2), (Y1 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y1 * Y3 * Y1 * Y3^-1, Y1 * Y2^-1 * Y3^-1 * Y1 * Y3 * Y2, Y3^9 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56)(3, 57, 9, 63)(4, 58, 13, 67)(5, 59, 7, 61)(6, 60, 17, 71)(8, 62, 15, 69)(10, 64, 12, 66)(11, 65, 19, 73)(14, 68, 26, 80)(16, 70, 21, 75)(18, 72, 31, 85)(20, 74, 23, 77)(22, 76, 29, 83)(24, 78, 30, 84)(25, 79, 28, 82)(27, 81, 33, 87)(32, 86, 34, 88)(35, 89, 37, 91)(36, 90, 43, 97)(38, 92, 40, 94)(39, 93, 49, 103)(41, 95, 42, 96)(44, 98, 53, 107)(45, 99, 51, 105)(46, 100, 48, 102)(47, 101, 50, 104)(52, 106, 54, 108)(109, 163, 111, 165, 113, 167)(110, 164, 115, 169, 117, 171)(112, 166, 119, 173, 123, 177)(114, 168, 120, 174, 124, 178)(116, 170, 127, 181, 121, 175)(118, 172, 125, 179, 129, 183)(122, 176, 131, 185, 136, 190)(126, 180, 132, 186, 137, 191)(128, 182, 134, 188, 133, 187)(130, 184, 138, 192, 139, 193)(135, 189, 143, 197, 148, 202)(140, 194, 144, 198, 149, 203)(141, 195, 146, 200, 145, 199)(142, 196, 150, 204, 151, 205)(147, 201, 155, 209, 159, 213)(152, 206, 156, 210, 160, 214)(153, 207, 158, 212, 157, 211)(154, 208, 161, 215, 162, 216)
	L = (1, 112)(2, 116)(3, 119)(4, 122)(5, 123)(6, 109)(7, 127)(8, 128)(9, 121)(10, 110)(11, 131)(12, 111)(13, 133)(14, 135)(15, 136)(16, 113)(17, 115)(18, 114)(19, 134)(20, 141)(21, 117)(22, 118)(23, 143)(24, 120)(25, 145)(26, 146)(27, 147)(28, 148)(29, 124)(30, 125)(31, 129)(32, 126)(33, 153)(34, 130)(35, 155)(36, 132)(37, 157)(38, 158)(39, 152)(40, 159)(41, 137)(42, 138)(43, 139)(44, 140)(45, 154)(46, 142)(47, 156)(48, 144)(49, 162)(50, 161)(51, 160)(52, 149)(53, 150)(54, 151)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 18, 36, 18, 36 ), ( 18, 36, 18, 36, 18, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.1045
Graph:: simple bipartite
	v = 45 e = 108 f = 9
	degree seq :: [ 4^27, 6^18 ]

E28.1023 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3^-1, Y2), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y1 * Y3 * Y1, Y2 * Y1 * Y3^-3 * Y2 * Y1, Y2 * Y1 * Y2 * Y3^-3 * Y1, Y3^9 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 11, 65)(4, 58, 8, 62)(5, 59, 16, 70)(6, 60, 10, 64)(7, 61, 19, 73)(9, 63, 24, 78)(12, 66, 28, 82)(13, 67, 30, 84)(14, 68, 22, 76)(15, 69, 35, 89)(17, 71, 38, 92)(18, 72, 26, 80)(20, 74, 41, 95)(21, 75, 34, 88)(23, 77, 32, 86)(25, 79, 45, 99)(27, 81, 33, 87)(29, 83, 44, 98)(31, 85, 48, 102)(36, 90, 42, 96)(37, 91, 40, 94)(39, 93, 49, 103)(43, 97, 53, 107)(46, 100, 54, 108)(47, 101, 50, 104)(51, 105, 52, 106)(109, 163, 111, 165, 113, 167)(110, 164, 115, 169, 117, 171)(112, 166, 120, 174, 123, 177)(114, 168, 121, 175, 125, 179)(116, 170, 128, 182, 131, 185)(118, 172, 129, 183, 133, 187)(119, 173, 135, 189, 137, 191)(122, 176, 139, 193, 142, 196)(124, 178, 144, 198, 145, 199)(126, 180, 140, 194, 147, 201)(127, 181, 141, 195, 150, 204)(130, 184, 151, 205, 138, 192)(132, 186, 152, 206, 148, 202)(134, 188, 143, 197, 154, 208)(136, 190, 155, 209, 157, 211)(146, 200, 156, 210, 159, 213)(149, 203, 158, 212, 162, 216)(153, 207, 161, 215, 160, 214)
	L = (1, 112)(2, 116)(3, 120)(4, 122)(5, 123)(6, 109)(7, 128)(8, 130)(9, 131)(10, 110)(11, 136)(12, 139)(13, 111)(14, 141)(15, 142)(16, 143)(17, 113)(18, 114)(19, 149)(20, 151)(21, 115)(22, 135)(23, 138)(24, 140)(25, 117)(26, 118)(27, 155)(28, 156)(29, 157)(30, 119)(31, 150)(32, 121)(33, 158)(34, 127)(35, 129)(36, 154)(37, 134)(38, 124)(39, 125)(40, 126)(41, 161)(42, 162)(43, 137)(44, 147)(45, 132)(46, 133)(47, 159)(48, 144)(49, 146)(50, 160)(51, 145)(52, 148)(53, 152)(54, 153)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 18, 36, 18, 36 ), ( 18, 36, 18, 36, 18, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.1041
Graph:: simple bipartite
	v = 45 e = 108 f = 9
	degree seq :: [ 4^27, 6^18 ]

E28.1024 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3^-1, Y2^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y1 * Y3 * Y1, Y2 * Y1 * Y2 * Y3^3 * Y1, Y3 * Y2^-1 * Y3 * Y1 * Y3 * Y2 * Y1 * Y2^-1, Y3^2 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^2, Y3^18 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 11, 65)(4, 58, 8, 62)(5, 59, 16, 70)(6, 60, 10, 64)(7, 61, 19, 73)(9, 63, 24, 78)(12, 66, 28, 82)(13, 67, 30, 84)(14, 68, 22, 76)(15, 69, 35, 89)(17, 71, 38, 92)(18, 72, 26, 80)(20, 74, 39, 93)(21, 75, 42, 96)(23, 77, 45, 99)(25, 79, 31, 85)(27, 81, 40, 94)(29, 83, 46, 100)(32, 86, 49, 103)(33, 87, 37, 91)(34, 88, 48, 102)(36, 90, 41, 95)(43, 97, 54, 108)(44, 98, 53, 107)(47, 101, 52, 106)(50, 104, 51, 105)(109, 163, 111, 165, 113, 167)(110, 164, 115, 169, 117, 171)(112, 166, 120, 174, 123, 177)(114, 168, 121, 175, 125, 179)(116, 170, 128, 182, 131, 185)(118, 172, 129, 183, 133, 187)(119, 173, 135, 189, 137, 191)(122, 176, 139, 193, 142, 196)(124, 178, 144, 198, 145, 199)(126, 180, 140, 194, 147, 201)(127, 181, 148, 202, 149, 203)(130, 184, 146, 200, 152, 206)(132, 186, 154, 208, 141, 195)(134, 188, 151, 205, 136, 190)(138, 192, 155, 209, 156, 210)(143, 197, 157, 211, 159, 213)(150, 204, 160, 214, 161, 215)(153, 207, 162, 216, 158, 212)
	L = (1, 112)(2, 116)(3, 120)(4, 122)(5, 123)(6, 109)(7, 128)(8, 130)(9, 131)(10, 110)(11, 136)(12, 139)(13, 111)(14, 141)(15, 142)(16, 143)(17, 113)(18, 114)(19, 147)(20, 146)(21, 115)(22, 145)(23, 152)(24, 153)(25, 117)(26, 118)(27, 134)(28, 133)(29, 151)(30, 119)(31, 132)(32, 121)(33, 158)(34, 154)(35, 156)(36, 157)(37, 159)(38, 124)(39, 125)(40, 126)(41, 140)(42, 127)(43, 129)(44, 144)(45, 161)(46, 162)(47, 135)(48, 137)(49, 138)(50, 160)(51, 155)(52, 148)(53, 149)(54, 150)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 18, 36, 18, 36 ), ( 18, 36, 18, 36, 18, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.1040
Graph:: simple bipartite
	v = 45 e = 108 f = 9
	degree seq :: [ 4^27, 6^18 ]

E28.1025 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3^-1, Y2^-1), (Y3^-1, Y2), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3 * Y2 * Y3^-1 * Y2^2, Y1 * Y3 * Y2^-1 * Y1 * Y3^-1 * Y2, Y2^-1 * Y1 * Y3^-2 * Y1 * Y3^-1, Y3^2 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y1, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, Y3^9, (Y3 * Y1 * Y2 * Y1)^9 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56)(3, 57, 11, 65)(4, 58, 14, 68)(5, 59, 17, 71)(6, 60, 19, 73)(7, 61, 21, 75)(8, 62, 24, 78)(9, 63, 27, 81)(10, 64, 29, 83)(12, 66, 30, 84)(13, 67, 23, 77)(15, 69, 28, 82)(16, 70, 26, 80)(18, 72, 25, 79)(20, 74, 22, 76)(31, 85, 39, 93)(32, 86, 47, 101)(33, 87, 52, 106)(34, 88, 54, 108)(35, 89, 49, 103)(36, 90, 38, 92)(37, 91, 50, 104)(40, 94, 45, 99)(41, 95, 48, 102)(42, 96, 51, 105)(43, 97, 46, 100)(44, 98, 53, 107)(109, 163, 111, 165, 113, 167)(110, 164, 115, 169, 117, 171)(112, 166, 120, 174, 124, 178)(114, 168, 121, 175, 126, 180)(116, 170, 130, 184, 134, 188)(118, 172, 131, 185, 136, 190)(119, 173, 139, 193, 141, 195)(122, 176, 140, 194, 146, 200)(123, 177, 143, 197, 148, 202)(125, 179, 149, 203, 151, 205)(127, 181, 153, 207, 145, 199)(128, 182, 144, 198, 152, 206)(129, 183, 147, 201, 156, 210)(132, 186, 155, 209, 159, 213)(133, 187, 157, 211, 142, 196)(135, 189, 160, 214, 154, 208)(137, 191, 162, 216, 158, 212)(138, 192, 150, 204, 161, 215)
	L = (1, 112)(2, 116)(3, 120)(4, 123)(5, 124)(6, 109)(7, 130)(8, 133)(9, 134)(10, 110)(11, 140)(12, 143)(13, 111)(14, 145)(15, 147)(16, 148)(17, 150)(18, 113)(19, 149)(20, 114)(21, 155)(22, 157)(23, 115)(24, 158)(25, 139)(26, 142)(27, 144)(28, 117)(29, 160)(30, 118)(31, 146)(32, 127)(33, 122)(34, 119)(35, 156)(36, 121)(37, 125)(38, 153)(39, 159)(40, 129)(41, 161)(42, 131)(43, 138)(44, 126)(45, 151)(46, 128)(47, 137)(48, 132)(49, 141)(50, 135)(51, 162)(52, 152)(53, 136)(54, 154)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 18, 36, 18, 36 ), ( 18, 36, 18, 36, 18, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.1044
Graph:: simple bipartite
	v = 45 e = 108 f = 9
	degree seq :: [ 4^27, 6^18 ]

E28.1026 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y2^-1, Y3), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1, Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y3^-2, Y3^9, Y3^-2 * Y1 * Y3 * Y1 * Y3^-2 * Y1 * Y2^-1 * Y1, Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56)(3, 57, 11, 65)(4, 58, 14, 68)(5, 59, 17, 71)(6, 60, 19, 73)(7, 61, 21, 75)(8, 62, 24, 78)(9, 63, 27, 81)(10, 64, 29, 83)(12, 66, 22, 76)(13, 67, 35, 89)(15, 69, 39, 93)(16, 70, 42, 96)(18, 72, 28, 82)(20, 74, 32, 86)(23, 77, 47, 101)(25, 79, 49, 103)(26, 80, 50, 104)(30, 84, 45, 99)(31, 85, 40, 94)(33, 87, 48, 102)(34, 88, 41, 95)(36, 90, 37, 91)(38, 92, 46, 100)(43, 97, 44, 98)(51, 105, 53, 107)(52, 106, 54, 108)(109, 163, 111, 165, 113, 167)(110, 164, 115, 169, 117, 171)(112, 166, 120, 174, 124, 178)(114, 168, 121, 175, 126, 180)(116, 170, 130, 184, 134, 188)(118, 172, 131, 185, 136, 190)(119, 173, 139, 193, 141, 195)(122, 176, 138, 192, 145, 199)(123, 177, 137, 191, 149, 203)(125, 179, 146, 200, 151, 205)(127, 181, 142, 196, 133, 187)(128, 182, 144, 198, 132, 186)(129, 183, 148, 202, 154, 208)(135, 189, 156, 210, 152, 206)(140, 194, 150, 204, 160, 214)(143, 197, 147, 201, 159, 213)(153, 207, 158, 212, 162, 216)(155, 209, 157, 211, 161, 215)
	L = (1, 112)(2, 116)(3, 120)(4, 123)(5, 124)(6, 109)(7, 130)(8, 133)(9, 134)(10, 110)(11, 140)(12, 137)(13, 111)(14, 136)(15, 148)(16, 149)(17, 145)(18, 113)(19, 141)(20, 114)(21, 153)(22, 127)(23, 115)(24, 126)(25, 139)(26, 142)(27, 144)(28, 117)(29, 154)(30, 118)(31, 150)(32, 159)(33, 160)(34, 119)(35, 151)(36, 121)(37, 131)(38, 122)(39, 125)(40, 158)(41, 129)(42, 143)(43, 138)(44, 128)(45, 161)(46, 162)(47, 152)(48, 132)(49, 135)(50, 155)(51, 146)(52, 147)(53, 156)(54, 157)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 18, 36, 18, 36 ), ( 18, 36, 18, 36, 18, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.1048
Graph:: simple bipartite
	v = 45 e = 108 f = 9
	degree seq :: [ 4^27, 6^18 ]

E28.1027 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3^-1, Y2^-1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1 * Y3^-1 * Y2 * Y1 * Y3 * Y2^-1, Y3 * Y2^-1 * Y1 * Y3 * Y1 * Y3, Y1 * Y2 * Y3^2 * Y1 * Y2^-1 * Y3^-2, Y3^-1 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2^-1 * Y1, Y1 * Y3^-1 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^2 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56)(3, 57, 11, 65)(4, 58, 14, 68)(5, 59, 17, 71)(6, 60, 19, 73)(7, 61, 21, 75)(8, 62, 24, 78)(9, 63, 27, 81)(10, 64, 29, 83)(12, 66, 35, 89)(13, 67, 23, 77)(15, 69, 34, 88)(16, 70, 26, 80)(18, 72, 42, 96)(20, 74, 39, 93)(22, 76, 47, 101)(25, 79, 46, 100)(28, 82, 50, 104)(30, 84, 49, 103)(31, 85, 44, 98)(32, 86, 43, 97)(33, 87, 48, 102)(36, 90, 41, 95)(37, 91, 40, 94)(38, 92, 45, 99)(51, 105, 53, 107)(52, 106, 54, 108)(109, 163, 111, 165, 113, 167)(110, 164, 115, 169, 117, 171)(112, 166, 120, 174, 124, 178)(114, 168, 121, 175, 126, 180)(116, 170, 130, 184, 134, 188)(118, 172, 131, 185, 136, 190)(119, 173, 139, 193, 141, 195)(122, 176, 140, 194, 138, 192)(123, 177, 144, 198, 137, 191)(125, 179, 146, 200, 148, 202)(127, 181, 133, 187, 149, 203)(128, 182, 132, 186, 151, 205)(129, 183, 152, 206, 153, 207)(135, 189, 156, 210, 145, 199)(142, 196, 150, 204, 159, 213)(143, 197, 147, 201, 160, 214)(154, 208, 158, 212, 161, 215)(155, 209, 157, 211, 162, 216)
	L = (1, 112)(2, 116)(3, 120)(4, 123)(5, 124)(6, 109)(7, 130)(8, 133)(9, 134)(10, 110)(11, 140)(12, 144)(13, 111)(14, 131)(15, 145)(16, 137)(17, 147)(18, 113)(19, 146)(20, 114)(21, 151)(22, 149)(23, 115)(24, 121)(25, 148)(26, 127)(27, 157)(28, 117)(29, 156)(30, 118)(31, 138)(32, 136)(33, 122)(34, 119)(35, 150)(36, 135)(37, 155)(38, 160)(39, 159)(40, 143)(41, 125)(42, 139)(43, 126)(44, 128)(45, 132)(46, 129)(47, 158)(48, 162)(49, 161)(50, 152)(51, 141)(52, 142)(53, 153)(54, 154)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 18, 36, 18, 36 ), ( 18, 36, 18, 36, 18, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.1043
Graph:: simple bipartite
	v = 45 e = 108 f = 9
	degree seq :: [ 4^27, 6^18 ]

E28.1028 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3, Y2^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^-2 * Y1 * Y2 * Y3^-1 * Y1, Y2^-2 * Y1 * Y3^-2 * Y1 * Y3^-1, Y1 * Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y2, Y2 * Y3^-2 * Y1 * Y3^2 * Y2^-1 * Y1, Y2 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1, Y3^9 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56)(3, 57, 11, 65)(4, 58, 14, 68)(5, 59, 17, 71)(6, 60, 19, 73)(7, 61, 21, 75)(8, 62, 24, 78)(9, 63, 27, 81)(10, 64, 29, 83)(12, 66, 22, 76)(13, 67, 25, 79)(15, 69, 23, 77)(16, 70, 30, 84)(18, 72, 28, 82)(20, 74, 26, 80)(31, 85, 46, 100)(32, 86, 50, 104)(33, 87, 52, 106)(34, 88, 48, 102)(35, 89, 45, 99)(36, 90, 49, 103)(37, 91, 44, 98)(38, 92, 51, 105)(39, 93, 47, 101)(40, 94, 42, 96)(41, 95, 53, 107)(43, 97, 54, 108)(109, 163, 111, 165, 113, 167)(110, 164, 115, 169, 117, 171)(112, 166, 120, 174, 124, 178)(114, 168, 121, 175, 126, 180)(116, 170, 130, 184, 134, 188)(118, 172, 131, 185, 136, 190)(119, 173, 139, 193, 141, 195)(122, 176, 145, 199, 146, 200)(123, 177, 143, 197, 149, 203)(125, 179, 147, 201, 150, 204)(127, 181, 142, 196, 153, 207)(128, 182, 144, 198, 152, 206)(129, 183, 154, 208, 155, 209)(132, 186, 158, 212, 159, 213)(133, 187, 151, 205, 161, 215)(135, 189, 160, 214, 148, 202)(137, 191, 156, 210, 162, 216)(138, 192, 157, 211, 140, 194)
	L = (1, 112)(2, 116)(3, 120)(4, 123)(5, 124)(6, 109)(7, 130)(8, 133)(9, 134)(10, 110)(11, 140)(12, 143)(13, 111)(14, 142)(15, 148)(16, 149)(17, 146)(18, 113)(19, 141)(20, 114)(21, 152)(22, 151)(23, 115)(24, 156)(25, 150)(26, 161)(27, 159)(28, 117)(29, 155)(30, 118)(31, 138)(32, 136)(33, 157)(34, 119)(35, 135)(36, 121)(37, 153)(38, 127)(39, 122)(40, 158)(41, 160)(42, 145)(43, 125)(44, 126)(45, 139)(46, 128)(47, 144)(48, 129)(49, 131)(50, 162)(51, 137)(52, 132)(53, 147)(54, 154)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 18, 36, 18, 36 ), ( 18, 36, 18, 36, 18, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.1047
Graph:: simple bipartite
	v = 45 e = 108 f = 9
	degree seq :: [ 4^27, 6^18 ]

E28.1029 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^3, (R * Y3)^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y1)^2, (R * Y2)^2, (Y3 * Y1^-1)^2, (Y2, Y1^-1), Y2^9 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 7, 61, 12, 66)(4, 58, 13, 67, 8, 62)(6, 60, 9, 63, 15, 69)(10, 64, 17, 71, 23, 77)(11, 65, 24, 78, 18, 72)(14, 68, 25, 79, 19, 73)(16, 70, 20, 74, 27, 81)(21, 75, 29, 83, 35, 89)(22, 76, 36, 90, 30, 84)(26, 80, 37, 91, 31, 85)(28, 82, 32, 86, 39, 93)(33, 87, 41, 95, 46, 100)(34, 88, 47, 101, 42, 96)(38, 92, 48, 102, 43, 97)(40, 94, 44, 98, 50, 104)(45, 99, 53, 107, 51, 105)(49, 103, 54, 108, 52, 106)(109, 163, 111, 165, 118, 172, 129, 183, 141, 195, 148, 202, 136, 190, 124, 178, 114, 168)(110, 164, 115, 169, 125, 179, 137, 191, 149, 203, 152, 206, 140, 194, 128, 182, 117, 171)(112, 166, 119, 173, 130, 184, 142, 196, 153, 207, 157, 211, 146, 200, 134, 188, 122, 176)(113, 167, 120, 174, 131, 185, 143, 197, 154, 208, 158, 212, 147, 201, 135, 189, 123, 177)(116, 170, 126, 180, 138, 192, 150, 204, 159, 213, 160, 214, 151, 205, 139, 193, 127, 181)(121, 175, 132, 186, 144, 198, 155, 209, 161, 215, 162, 216, 156, 210, 145, 199, 133, 187)
	L = (1, 112)(2, 116)(3, 119)(4, 109)(5, 121)(6, 122)(7, 126)(8, 110)(9, 127)(10, 130)(11, 111)(12, 132)(13, 113)(14, 114)(15, 133)(16, 134)(17, 138)(18, 115)(19, 117)(20, 139)(21, 142)(22, 118)(23, 144)(24, 120)(25, 123)(26, 124)(27, 145)(28, 146)(29, 150)(30, 125)(31, 128)(32, 151)(33, 153)(34, 129)(35, 155)(36, 131)(37, 135)(38, 136)(39, 156)(40, 157)(41, 159)(42, 137)(43, 140)(44, 160)(45, 141)(46, 161)(47, 143)(48, 147)(49, 148)(50, 162)(51, 149)(52, 152)(53, 154)(54, 158)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 36, 4, 36, 4, 36 ), ( 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.1034
Graph:: simple bipartite
	v = 24 e = 108 f = 30
	degree seq :: [ 6^18, 18^6 ]

E28.1030 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y2^-1)^2, (Y3^-1, Y2^-1), Y3^2 * Y2^3, Y3 * Y1^-1 * Y3^3 * Y1^-1, Y3^6, Y1^-1 * Y3 * Y1^-1 * Y3^-3, Y2 * Y1 * Y3^-1 * Y2^2 * Y1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 8, 62, 14, 68)(4, 58, 16, 70, 18, 72)(6, 60, 10, 64, 21, 75)(7, 61, 24, 78, 9, 63)(11, 65, 33, 87, 20, 74)(12, 66, 26, 80, 35, 89)(13, 67, 37, 91, 38, 92)(15, 69, 40, 94, 27, 81)(17, 71, 29, 83, 44, 98)(19, 73, 42, 96, 46, 100)(22, 76, 31, 85, 49, 103)(23, 77, 50, 104, 30, 84)(25, 79, 34, 88, 43, 97)(28, 82, 47, 101, 39, 93)(32, 86, 36, 90, 48, 102)(41, 95, 51, 105, 53, 107)(45, 99, 52, 106, 54, 108)(109, 163, 111, 165, 120, 174, 133, 187, 149, 203, 153, 207, 125, 179, 130, 184, 114, 168)(110, 164, 116, 170, 134, 188, 142, 196, 159, 213, 160, 214, 137, 191, 139, 193, 118, 172)(112, 166, 121, 175, 131, 185, 115, 169, 123, 177, 144, 198, 141, 195, 155, 209, 127, 181)(113, 167, 122, 176, 143, 197, 151, 205, 161, 215, 162, 216, 152, 206, 157, 211, 129, 183)(117, 171, 135, 189, 140, 194, 119, 173, 136, 190, 154, 208, 126, 180, 146, 200, 138, 192)(124, 178, 145, 199, 158, 212, 132, 186, 148, 202, 156, 210, 128, 182, 147, 201, 150, 204)
	L = (1, 112)(2, 117)(3, 121)(4, 125)(5, 128)(6, 127)(7, 109)(8, 135)(9, 137)(10, 138)(11, 110)(12, 131)(13, 130)(14, 147)(15, 111)(16, 113)(17, 141)(18, 142)(19, 153)(20, 152)(21, 156)(22, 155)(23, 114)(24, 151)(25, 115)(26, 140)(27, 139)(28, 116)(29, 126)(30, 160)(31, 146)(32, 118)(33, 133)(34, 119)(35, 150)(36, 120)(37, 122)(38, 159)(39, 157)(40, 161)(41, 123)(42, 129)(43, 124)(44, 132)(45, 144)(46, 134)(47, 149)(48, 162)(49, 148)(50, 143)(51, 136)(52, 154)(53, 145)(54, 158)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 36, 4, 36, 4, 36 ), ( 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.1037
Graph:: simple bipartite
	v = 24 e = 108 f = 30
	degree seq :: [ 6^18, 18^6 ]

E28.1031 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y3 * Y1)^2, (Y2^-1, Y3), (R * Y1)^2, (R * Y2)^2, (Y1^-1, Y2), (R * Y3)^2, Y2^3 * Y3^-2, Y3^-6, Y3^6, Y3 * Y1^-1 * Y3^-3 * Y1^-1, Y1^-1 * Y3 * Y1^-1 * Y3^3 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 8, 62, 14, 68)(4, 58, 16, 70, 18, 72)(6, 60, 10, 64, 21, 75)(7, 61, 24, 78, 9, 63)(11, 65, 33, 87, 20, 74)(12, 66, 26, 80, 36, 90)(13, 67, 37, 91, 39, 93)(15, 69, 41, 95, 27, 81)(17, 71, 29, 83, 44, 98)(19, 73, 42, 96, 45, 99)(22, 76, 31, 85, 47, 101)(23, 77, 49, 103, 30, 84)(25, 79, 34, 88, 43, 97)(28, 82, 48, 102, 40, 94)(32, 86, 35, 89, 46, 100)(38, 92, 51, 105, 53, 107)(50, 104, 52, 106, 54, 108)(109, 163, 111, 165, 120, 174, 125, 179, 146, 200, 158, 212, 133, 187, 130, 184, 114, 168)(110, 164, 116, 170, 134, 188, 137, 191, 159, 213, 160, 214, 142, 196, 139, 193, 118, 172)(112, 166, 121, 175, 143, 197, 141, 195, 156, 210, 131, 185, 115, 169, 123, 177, 127, 181)(113, 167, 122, 176, 144, 198, 152, 206, 161, 215, 162, 216, 151, 205, 155, 209, 129, 183)(117, 171, 135, 189, 153, 207, 126, 180, 147, 201, 140, 194, 119, 173, 136, 190, 138, 192)(124, 178, 145, 199, 154, 208, 128, 182, 148, 202, 157, 211, 132, 186, 149, 203, 150, 204)
	L = (1, 112)(2, 117)(3, 121)(4, 125)(5, 128)(6, 127)(7, 109)(8, 135)(9, 137)(10, 138)(11, 110)(12, 143)(13, 146)(14, 148)(15, 111)(16, 113)(17, 141)(18, 142)(19, 120)(20, 152)(21, 154)(22, 123)(23, 114)(24, 151)(25, 115)(26, 153)(27, 159)(28, 116)(29, 126)(30, 134)(31, 136)(32, 118)(33, 133)(34, 119)(35, 158)(36, 157)(37, 122)(38, 156)(39, 139)(40, 161)(41, 155)(42, 129)(43, 124)(44, 132)(45, 160)(46, 144)(47, 145)(48, 130)(49, 162)(50, 131)(51, 147)(52, 140)(53, 149)(54, 150)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 36, 4, 36, 4, 36 ), ( 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.1038
Graph:: simple bipartite
	v = 24 e = 108 f = 30
	degree seq :: [ 6^18, 18^6 ]

E28.1032 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1 * Y3^-2, Y2^3 * Y1, (Y2, Y1^-1), (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^-1, Y3^-1, Y2^-1), (Y3 * Y2^-1)^18 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 8, 62, 13, 67)(4, 58, 9, 63, 7, 61)(6, 60, 10, 64, 11, 65)(12, 66, 21, 75, 14, 68)(15, 69, 22, 76, 19, 73)(16, 70, 23, 77, 20, 74)(17, 71, 24, 78, 18, 72)(25, 79, 39, 93, 27, 81)(26, 80, 40, 94, 28, 82)(29, 83, 37, 91, 30, 84)(31, 85, 38, 92, 32, 86)(33, 87, 41, 95, 35, 89)(34, 88, 42, 96, 36, 90)(43, 97, 47, 101, 44, 98)(45, 99, 48, 102, 46, 100)(49, 103, 53, 107, 50, 104)(51, 105, 54, 108, 52, 106)(109, 163, 111, 165, 119, 173, 113, 167, 121, 175, 118, 172, 110, 164, 116, 170, 114, 168)(112, 166, 123, 177, 128, 182, 115, 169, 127, 181, 131, 185, 117, 171, 130, 184, 124, 178)(120, 174, 133, 187, 136, 190, 122, 176, 135, 189, 148, 202, 129, 183, 147, 201, 134, 188)(125, 179, 141, 195, 144, 198, 126, 180, 143, 197, 150, 204, 132, 186, 149, 203, 142, 196)(137, 191, 151, 205, 158, 212, 138, 192, 152, 206, 161, 215, 145, 199, 155, 209, 157, 211)(139, 193, 153, 207, 160, 214, 140, 194, 154, 208, 162, 216, 146, 200, 156, 210, 159, 213)
	L = (1, 112)(2, 117)(3, 120)(4, 110)(5, 115)(6, 125)(7, 109)(8, 129)(9, 113)(10, 132)(11, 126)(12, 116)(13, 122)(14, 111)(15, 137)(16, 139)(17, 118)(18, 114)(19, 138)(20, 140)(21, 121)(22, 145)(23, 146)(24, 119)(25, 151)(26, 153)(27, 152)(28, 154)(29, 130)(30, 123)(31, 131)(32, 124)(33, 157)(34, 159)(35, 158)(36, 160)(37, 127)(38, 128)(39, 155)(40, 156)(41, 161)(42, 162)(43, 147)(44, 133)(45, 148)(46, 134)(47, 135)(48, 136)(49, 149)(50, 141)(51, 150)(52, 142)(53, 143)(54, 144)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 36, 4, 36, 4, 36 ), ( 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.1035
Graph:: bipartite
	v = 24 e = 108 f = 30
	degree seq :: [ 6^18, 18^6 ]

E28.1033 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1 * Y3^-2, Y1^-1 * Y2^3, (Y2, Y1^-1), (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, (Y2^-1, Y3^-1, Y2^-1), Y2^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1, (Y3 * Y2^-1)^18 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 8, 62, 12, 66)(4, 58, 9, 63, 7, 61)(6, 60, 10, 64, 16, 70)(11, 65, 21, 75, 13, 67)(14, 68, 22, 76, 19, 73)(15, 69, 23, 77, 20, 74)(17, 71, 24, 78, 18, 72)(25, 79, 39, 93, 27, 81)(26, 80, 40, 94, 28, 82)(29, 83, 37, 91, 30, 84)(31, 85, 38, 92, 32, 86)(33, 87, 41, 95, 35, 89)(34, 88, 42, 96, 36, 90)(43, 97, 47, 101, 44, 98)(45, 99, 48, 102, 46, 100)(49, 103, 53, 107, 50, 104)(51, 105, 54, 108, 52, 106)(109, 163, 111, 165, 118, 172, 110, 164, 116, 170, 124, 178, 113, 167, 120, 174, 114, 168)(112, 166, 122, 176, 131, 185, 117, 171, 130, 184, 128, 182, 115, 169, 127, 181, 123, 177)(119, 173, 133, 187, 148, 202, 129, 183, 147, 201, 136, 190, 121, 175, 135, 189, 134, 188)(125, 179, 141, 195, 150, 204, 132, 186, 149, 203, 144, 198, 126, 180, 143, 197, 142, 196)(137, 191, 151, 205, 161, 215, 145, 199, 155, 209, 158, 212, 138, 192, 152, 206, 157, 211)(139, 193, 153, 207, 162, 216, 146, 200, 156, 210, 160, 214, 140, 194, 154, 208, 159, 213)
	L = (1, 112)(2, 117)(3, 119)(4, 110)(5, 115)(6, 125)(7, 109)(8, 129)(9, 113)(10, 132)(11, 116)(12, 121)(13, 111)(14, 137)(15, 139)(16, 126)(17, 118)(18, 114)(19, 138)(20, 140)(21, 120)(22, 145)(23, 146)(24, 124)(25, 151)(26, 153)(27, 152)(28, 154)(29, 130)(30, 122)(31, 131)(32, 123)(33, 157)(34, 159)(35, 158)(36, 160)(37, 127)(38, 128)(39, 155)(40, 156)(41, 161)(42, 162)(43, 147)(44, 133)(45, 148)(46, 134)(47, 135)(48, 136)(49, 149)(50, 141)(51, 150)(52, 142)(53, 143)(54, 144)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 36, 4, 36, 4, 36 ), ( 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.1036
Graph:: bipartite
	v = 24 e = 108 f = 30
	degree seq :: [ 6^18, 18^6 ]

E28.1034 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y1^-1 * Y3 * Y1, (R * Y3)^2, (R * Y1)^2, Y2 * Y1 * Y3 * Y2 * Y3 * Y1^-1, Y1^-1 * Y2 * Y1 * Y2 * Y3 * Y2, Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1, (R * Y2 * Y3)^2, Y3 * Y1^-9 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 6, 60, 16, 70, 29, 83, 41, 95, 38, 92, 26, 80, 13, 67, 4, 58, 8, 62, 18, 72, 31, 85, 43, 97, 40, 94, 28, 82, 15, 69, 5, 59)(3, 57, 9, 63, 17, 71, 32, 86, 42, 96, 52, 106, 47, 101, 35, 89, 23, 77, 10, 64, 22, 76, 33, 87, 46, 100, 53, 107, 49, 103, 37, 91, 25, 79, 11, 65)(7, 61, 19, 73, 30, 84, 44, 98, 51, 105, 48, 102, 36, 90, 24, 78, 12, 66, 20, 74, 34, 88, 45, 99, 54, 108, 50, 104, 39, 93, 27, 81, 14, 68, 21, 75)(109, 163, 111, 165)(110, 164, 115, 169)(112, 166, 120, 174)(113, 167, 122, 176)(114, 168, 125, 179)(116, 170, 130, 184)(117, 171, 128, 182)(118, 172, 129, 183)(119, 173, 132, 186)(121, 175, 131, 185)(123, 177, 133, 187)(124, 178, 138, 192)(126, 180, 142, 196)(127, 181, 141, 195)(134, 188, 144, 198)(135, 189, 143, 197)(136, 190, 147, 201)(137, 191, 150, 204)(139, 193, 154, 208)(140, 194, 153, 207)(145, 199, 156, 210)(146, 200, 155, 209)(148, 202, 157, 211)(149, 203, 159, 213)(151, 205, 162, 216)(152, 206, 161, 215)(158, 212, 160, 214)
	L = (1, 112)(2, 116)(3, 118)(4, 109)(5, 121)(6, 126)(7, 128)(8, 110)(9, 130)(10, 111)(11, 131)(12, 129)(13, 113)(14, 132)(15, 134)(16, 139)(17, 141)(18, 114)(19, 142)(20, 115)(21, 120)(22, 117)(23, 119)(24, 122)(25, 143)(26, 123)(27, 144)(28, 146)(29, 151)(30, 153)(31, 124)(32, 154)(33, 125)(34, 127)(35, 133)(36, 135)(37, 155)(38, 136)(39, 156)(40, 149)(41, 148)(42, 161)(43, 137)(44, 162)(45, 138)(46, 140)(47, 145)(48, 147)(49, 160)(50, 159)(51, 158)(52, 157)(53, 150)(54, 152)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 18, 6, 18 ), ( 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.1029
Graph:: bipartite
	v = 30 e = 108 f = 24
	degree seq :: [ 4^27, 36^3 ]

E28.1035 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3 * Y2 * Y3^-1 * Y2, Y2 * Y3^3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y1^-2 * Y3 * Y1^2 * Y3^-1, Y3 * Y2 * Y1 * Y3^-1 * Y2 * Y1^-1, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y2 * Y1^-1, Y1^-1 * Y3^-1 * Y2 * Y1 * Y3 * Y2, Y2 * Y1^2 * Y2 * Y1^-2, Y1^-4 * Y2 * Y3^-1 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 7, 61, 23, 77, 44, 98, 40, 94, 14, 68, 30, 84, 50, 104, 54, 108, 53, 107, 38, 92, 12, 66, 28, 82, 49, 103, 42, 96, 19, 73, 5, 59)(3, 57, 11, 65, 24, 78, 48, 102, 43, 97, 22, 76, 6, 60, 21, 75, 26, 80, 52, 106, 41, 95, 16, 70, 4, 58, 15, 69, 25, 79, 51, 105, 39, 93, 13, 67)(8, 62, 27, 81, 45, 99, 36, 90, 20, 74, 34, 88, 10, 64, 33, 87, 47, 101, 35, 89, 18, 72, 32, 86, 9, 63, 31, 85, 46, 100, 37, 91, 17, 71, 29, 83)(109, 163, 111, 165)(110, 164, 116, 170)(112, 166, 120, 174)(113, 167, 125, 179)(114, 168, 122, 176)(115, 169, 132, 186)(117, 171, 136, 190)(118, 172, 138, 192)(119, 173, 143, 197)(121, 175, 141, 195)(123, 177, 144, 198)(124, 178, 135, 189)(126, 180, 146, 200)(127, 181, 147, 201)(128, 182, 148, 202)(129, 183, 145, 199)(130, 184, 139, 193)(131, 185, 153, 207)(133, 187, 157, 211)(134, 188, 158, 212)(137, 191, 160, 214)(140, 194, 156, 210)(142, 196, 159, 213)(149, 203, 161, 215)(150, 204, 154, 208)(151, 205, 152, 206)(155, 209, 162, 216)
	L = (1, 112)(2, 117)(3, 120)(4, 122)(5, 126)(6, 109)(7, 133)(8, 136)(9, 138)(10, 110)(11, 144)(12, 114)(13, 135)(14, 111)(15, 145)(16, 139)(17, 146)(18, 148)(19, 149)(20, 113)(21, 143)(22, 141)(23, 154)(24, 157)(25, 158)(26, 115)(27, 130)(28, 118)(29, 156)(30, 116)(31, 121)(32, 159)(33, 124)(34, 160)(35, 123)(36, 129)(37, 119)(38, 128)(39, 161)(40, 125)(41, 152)(42, 155)(43, 127)(44, 147)(45, 150)(46, 162)(47, 131)(48, 142)(49, 134)(50, 132)(51, 137)(52, 140)(53, 151)(54, 153)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 18, 6, 18 ), ( 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.1032
Graph:: bipartite
	v = 30 e = 108 f = 24
	degree seq :: [ 4^27, 36^3 ]

E28.1036 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3 * Y2 * Y3^-1 * Y2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y3^-3, Y1^-2 * Y3 * Y1^2 * Y3^-1, Y1^-2 * Y2 * Y1^2 * Y2, Y1^-1 * Y3^-1 * Y2 * Y1 * Y3 * Y2, Y3 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1, Y3^-1 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1^-4 * Y3 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 7, 61, 23, 77, 44, 98, 38, 92, 12, 66, 28, 82, 49, 103, 54, 108, 53, 107, 40, 94, 14, 68, 30, 84, 50, 104, 42, 96, 19, 73, 5, 59)(3, 57, 11, 65, 24, 78, 48, 102, 41, 95, 16, 70, 4, 58, 15, 69, 25, 79, 51, 105, 43, 97, 22, 76, 6, 60, 21, 75, 26, 80, 52, 106, 39, 93, 13, 67)(8, 62, 27, 81, 45, 99, 37, 91, 18, 72, 32, 86, 9, 63, 31, 85, 46, 100, 35, 89, 20, 74, 34, 88, 10, 64, 33, 87, 47, 101, 36, 90, 17, 71, 29, 83)(109, 163, 111, 165)(110, 164, 116, 170)(112, 166, 120, 174)(113, 167, 125, 179)(114, 168, 122, 176)(115, 169, 132, 186)(117, 171, 136, 190)(118, 172, 138, 192)(119, 173, 143, 197)(121, 175, 139, 193)(123, 177, 144, 198)(124, 178, 141, 195)(126, 180, 146, 200)(127, 181, 147, 201)(128, 182, 148, 202)(129, 183, 145, 199)(130, 184, 135, 189)(131, 185, 153, 207)(133, 187, 157, 211)(134, 188, 158, 212)(137, 191, 159, 213)(140, 194, 160, 214)(142, 196, 156, 210)(149, 203, 152, 206)(150, 204, 155, 209)(151, 205, 161, 215)(154, 208, 162, 216)
	L = (1, 112)(2, 117)(3, 120)(4, 122)(5, 126)(6, 109)(7, 133)(8, 136)(9, 138)(10, 110)(11, 144)(12, 114)(13, 141)(14, 111)(15, 145)(16, 135)(17, 146)(18, 148)(19, 149)(20, 113)(21, 143)(22, 139)(23, 154)(24, 157)(25, 158)(26, 115)(27, 121)(28, 118)(29, 160)(30, 116)(31, 124)(32, 156)(33, 130)(34, 159)(35, 123)(36, 129)(37, 119)(38, 128)(39, 152)(40, 125)(41, 161)(42, 153)(43, 127)(44, 151)(45, 162)(46, 150)(47, 131)(48, 137)(49, 134)(50, 132)(51, 140)(52, 142)(53, 147)(54, 155)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 18, 6, 18 ), ( 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.1033
Graph:: bipartite
	v = 30 e = 108 f = 24
	degree seq :: [ 4^27, 36^3 ]

E28.1037 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3 * Y1^-3, (Y3, Y1), (R * Y3)^2, (R * Y1)^2, Y2 * Y1 * Y3^-1 * Y2 * Y3 * Y1^-1, Y3^6, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1, Y1 * Y2 * Y3^-1 * Y1^-1 * Y2 * Y3, (Y3 * Y2)^3, Y2 * Y3^-2 * Y2 * Y3^2, (Y1^-1 * Y3^-1)^9 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 7, 61, 4, 58, 9, 63, 22, 76, 16, 70, 28, 82, 43, 97, 38, 92, 50, 104, 40, 94, 20, 74, 30, 84, 18, 72, 6, 60, 10, 64, 5, 59)(3, 57, 11, 65, 21, 75, 12, 66, 27, 81, 41, 95, 33, 87, 48, 102, 53, 107, 47, 101, 54, 108, 44, 98, 37, 91, 45, 99, 35, 89, 14, 68, 29, 83, 13, 67)(8, 62, 23, 77, 15, 69, 24, 78, 42, 96, 36, 90, 46, 100, 34, 88, 52, 106, 31, 85, 51, 105, 32, 86, 49, 103, 39, 93, 19, 73, 26, 80, 17, 71, 25, 79)(109, 163, 111, 165)(110, 164, 116, 170)(112, 166, 123, 177)(113, 167, 125, 179)(114, 168, 127, 181)(115, 169, 129, 183)(117, 171, 135, 189)(118, 172, 137, 191)(119, 173, 139, 193)(120, 174, 140, 194)(121, 175, 142, 196)(122, 176, 144, 198)(124, 178, 141, 195)(126, 180, 143, 197)(128, 182, 145, 199)(130, 184, 150, 204)(131, 185, 152, 206)(132, 186, 153, 207)(133, 187, 155, 209)(134, 188, 156, 210)(136, 190, 154, 208)(138, 192, 157, 211)(146, 200, 160, 214)(147, 201, 149, 203)(148, 202, 159, 213)(151, 205, 161, 215)(158, 212, 162, 216)
	L = (1, 112)(2, 117)(3, 120)(4, 124)(5, 115)(6, 109)(7, 130)(8, 132)(9, 136)(10, 110)(11, 135)(12, 141)(13, 129)(14, 111)(15, 144)(16, 146)(17, 131)(18, 113)(19, 133)(20, 114)(21, 149)(22, 151)(23, 150)(24, 154)(25, 123)(26, 116)(27, 156)(28, 158)(29, 119)(30, 118)(31, 157)(32, 127)(33, 155)(34, 159)(35, 121)(36, 160)(37, 122)(38, 128)(39, 125)(40, 126)(41, 161)(42, 142)(43, 148)(44, 143)(45, 137)(46, 139)(47, 145)(48, 162)(49, 134)(50, 138)(51, 147)(52, 140)(53, 152)(54, 153)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 18, 6, 18 ), ( 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.1030
Graph:: bipartite
	v = 30 e = 108 f = 24
	degree seq :: [ 4^27, 36^3 ]

E28.1038 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^-1 * Y1^-3, (Y3, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y2 * Y1 * Y3 * Y2 * Y1^-1, (Y2 * Y3^-1)^3, Y3 * Y2 * Y1 * Y3^-1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2 * Y3^2 * Y2 * Y3^-2, Y3^6 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 7, 61, 6, 60, 10, 64, 22, 76, 20, 74, 30, 84, 43, 97, 39, 93, 50, 104, 40, 94, 16, 70, 28, 82, 17, 71, 4, 58, 9, 63, 5, 59)(3, 57, 11, 65, 21, 75, 14, 68, 29, 83, 41, 95, 37, 91, 45, 99, 53, 107, 47, 101, 54, 108, 44, 98, 33, 87, 48, 102, 34, 88, 12, 66, 27, 81, 13, 67)(8, 62, 23, 77, 19, 73, 26, 80, 42, 96, 32, 86, 49, 103, 35, 89, 52, 106, 31, 85, 51, 105, 36, 90, 46, 100, 38, 92, 15, 69, 24, 78, 18, 72, 25, 79)(109, 163, 111, 165)(110, 164, 116, 170)(112, 166, 123, 177)(113, 167, 126, 180)(114, 168, 127, 181)(115, 169, 129, 183)(117, 171, 135, 189)(118, 172, 137, 191)(119, 173, 139, 193)(120, 174, 140, 194)(121, 175, 143, 197)(122, 176, 144, 198)(124, 178, 141, 195)(125, 179, 142, 196)(128, 182, 145, 199)(130, 184, 150, 204)(131, 185, 152, 206)(132, 186, 153, 207)(133, 187, 155, 209)(134, 188, 156, 210)(136, 190, 154, 208)(138, 192, 157, 211)(146, 200, 149, 203)(147, 201, 160, 214)(148, 202, 159, 213)(151, 205, 161, 215)(158, 212, 162, 216)
	L = (1, 112)(2, 117)(3, 120)(4, 124)(5, 125)(6, 109)(7, 113)(8, 132)(9, 136)(10, 110)(11, 135)(12, 141)(13, 142)(14, 111)(15, 144)(16, 147)(17, 148)(18, 146)(19, 133)(20, 114)(21, 121)(22, 115)(23, 126)(24, 154)(25, 123)(26, 116)(27, 156)(28, 158)(29, 119)(30, 118)(31, 157)(32, 127)(33, 155)(34, 152)(35, 150)(36, 160)(37, 122)(38, 159)(39, 128)(40, 151)(41, 129)(42, 131)(43, 130)(44, 161)(45, 137)(46, 139)(47, 145)(48, 162)(49, 134)(50, 138)(51, 143)(52, 140)(53, 149)(54, 153)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 18, 6, 18 ), ( 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.1031
Graph:: bipartite
	v = 30 e = 108 f = 24
	degree seq :: [ 4^27, 36^3 ]

E28.1039 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1 * Y1^-1)^2, (Y3^-1 * Y2)^2, (Y3, Y2^-1), (R * Y1)^2, (R * Y3)^2, Y3^-2 * Y2^2, (R * Y2)^2, (Y3^-1, Y1^-1), Y3^-3 * Y1^-3, Y1^-1 * Y2^-1 * Y1 * Y3 * Y2^-1 * Y1^-1, Y1 * Y2^-2 * Y1^-1 * Y2^2, Y1^-1 * Y2 * Y3^-1 * Y1 * Y2^-1 * Y1^-1, Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2, Y1^9, Y2^-1 * Y1^2 * Y3^-2 * Y2^-2 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 8, 62, 25, 79, 43, 97, 52, 106, 38, 92, 20, 74, 5, 59)(3, 57, 13, 67, 33, 87, 24, 78, 28, 82, 46, 100, 50, 104, 42, 96, 16, 70)(4, 58, 10, 64, 27, 81, 23, 77, 35, 89, 47, 101, 49, 103, 41, 95, 18, 72)(6, 60, 22, 76, 36, 90, 44, 98, 53, 107, 40, 94, 15, 69, 32, 86, 9, 63)(7, 61, 12, 66, 29, 83, 45, 99, 54, 108, 39, 93, 14, 68, 30, 84, 21, 75)(11, 65, 34, 88, 48, 102, 51, 105, 37, 91, 19, 73, 31, 85, 17, 71, 26, 80)(109, 163, 111, 165, 122, 176, 145, 199, 157, 211, 152, 206, 133, 187, 132, 186, 115, 169, 125, 179, 112, 166, 123, 177, 146, 200, 158, 212, 153, 207, 142, 196, 131, 185, 114, 168)(110, 164, 117, 171, 138, 192, 124, 178, 149, 203, 159, 213, 151, 205, 144, 198, 120, 174, 141, 195, 118, 172, 139, 193, 128, 182, 148, 202, 162, 216, 154, 208, 143, 197, 119, 173)(113, 167, 127, 181, 147, 201, 161, 215, 155, 209, 136, 190, 116, 170, 134, 188, 129, 183, 140, 194, 126, 180, 150, 204, 160, 214, 156, 210, 137, 191, 130, 184, 135, 189, 121, 175)
	L = (1, 112)(2, 118)(3, 123)(4, 122)(5, 126)(6, 125)(7, 109)(8, 135)(9, 139)(10, 138)(11, 141)(12, 110)(13, 140)(14, 146)(15, 145)(16, 148)(17, 111)(18, 147)(19, 150)(20, 149)(21, 113)(22, 134)(23, 115)(24, 114)(25, 131)(26, 121)(27, 129)(28, 130)(29, 116)(30, 128)(31, 124)(32, 127)(33, 117)(34, 132)(35, 120)(36, 119)(37, 158)(38, 157)(39, 160)(40, 159)(41, 162)(42, 161)(43, 143)(44, 142)(45, 133)(46, 144)(47, 137)(48, 136)(49, 153)(50, 152)(51, 154)(52, 155)(53, 156)(54, 151)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.1020
Graph:: bipartite
	v = 9 e = 108 f = 45
	degree seq :: [ 18^6, 36^3 ]

E28.1040 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ R^2, (Y3, Y2), (Y3, Y1^-1), (Y3^-1, Y1^-1), (Y2, Y3), Y2^2 * Y3^-2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2 * Y3^-1)^2, Y1^2 * Y2^-1 * Y1^-1 * Y2^-1, Y3^-1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y1, (Y1^-1 * Y3^-1)^3, Y2 * Y3 * Y1^3 * Y2, Y3 * Y2^-2 * Y1^2 * Y2 * Y1^2 * Y2, (Y3^-1 * Y2^-2)^3 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 8, 62, 27, 81, 51, 105, 54, 108, 42, 96, 20, 74, 5, 59)(3, 57, 13, 67, 38, 92, 26, 80, 46, 100, 34, 88, 50, 104, 21, 75, 16, 70)(4, 58, 10, 64, 29, 83, 25, 79, 36, 90, 40, 94, 53, 107, 47, 101, 18, 72)(6, 60, 23, 77, 9, 63, 31, 85, 48, 102, 37, 91, 15, 69, 39, 93, 24, 78)(7, 61, 12, 66, 30, 84, 52, 106, 44, 98, 43, 97, 14, 68, 32, 86, 22, 76)(11, 65, 35, 89, 28, 82, 45, 99, 17, 71, 41, 95, 33, 87, 49, 103, 19, 73)(109, 163, 111, 165, 122, 176, 143, 197, 161, 215, 139, 193, 135, 189, 134, 188, 115, 169, 125, 179, 112, 166, 123, 177, 150, 204, 158, 212, 160, 214, 157, 211, 133, 187, 114, 168)(110, 164, 117, 171, 140, 194, 146, 200, 155, 209, 153, 207, 159, 213, 145, 199, 120, 174, 142, 196, 118, 172, 141, 195, 128, 182, 132, 186, 152, 206, 124, 178, 144, 198, 119, 173)(113, 167, 127, 181, 151, 205, 131, 185, 148, 202, 121, 175, 116, 170, 136, 190, 130, 184, 156, 210, 126, 180, 154, 208, 162, 216, 149, 203, 138, 192, 147, 201, 137, 191, 129, 183)
	L = (1, 112)(2, 118)(3, 123)(4, 122)(5, 126)(6, 125)(7, 109)(8, 137)(9, 141)(10, 140)(11, 142)(12, 110)(13, 147)(14, 150)(15, 143)(16, 145)(17, 111)(18, 151)(19, 154)(20, 155)(21, 156)(22, 113)(23, 149)(24, 153)(25, 115)(26, 114)(27, 133)(28, 129)(29, 130)(30, 116)(31, 157)(32, 128)(33, 146)(34, 117)(35, 158)(36, 120)(37, 119)(38, 132)(39, 136)(40, 138)(41, 121)(42, 161)(43, 162)(44, 159)(45, 124)(46, 131)(47, 152)(48, 127)(49, 134)(50, 139)(51, 144)(52, 135)(53, 160)(54, 148)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.1024
Graph:: bipartite
	v = 9 e = 108 f = 45
	degree seq :: [ 18^6, 36^3 ]

E28.1041 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3^2, (Y3 * Y2^-1)^2, (R * Y3)^2, (Y1^-1, Y3^-1), (R * Y2)^2, (Y2, Y3), (R * Y1)^2, Y1 * Y3 * Y2^-1 * Y1 * Y2^-1, Y1 * Y3^-1 * Y2^-1 * Y1 * Y2, Y1 * Y3 * Y2^2 * Y1^2, (Y2^-2 * Y3^-1)^3 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 8, 62, 27, 81, 47, 101, 38, 92, 41, 95, 20, 74, 5, 59)(3, 57, 13, 67, 37, 91, 26, 80, 21, 75, 46, 100, 51, 105, 30, 84, 16, 70)(4, 58, 10, 64, 29, 83, 25, 79, 36, 90, 52, 106, 54, 108, 43, 97, 18, 72)(6, 60, 23, 77, 45, 99, 49, 103, 34, 88, 9, 63, 15, 69, 39, 93, 24, 78)(7, 61, 12, 66, 31, 85, 50, 104, 53, 107, 42, 96, 14, 68, 32, 86, 22, 76)(11, 65, 17, 71, 19, 73, 44, 98, 48, 102, 28, 82, 33, 87, 40, 94, 35, 89)(109, 163, 111, 165, 122, 176, 148, 202, 162, 216, 157, 211, 135, 189, 134, 188, 115, 169, 125, 179, 112, 166, 123, 177, 149, 203, 159, 213, 158, 212, 156, 210, 133, 187, 114, 168)(110, 164, 117, 171, 140, 194, 154, 208, 151, 205, 152, 206, 155, 209, 132, 186, 120, 174, 124, 178, 118, 172, 141, 195, 128, 182, 153, 207, 161, 215, 145, 199, 144, 198, 119, 173)(113, 167, 127, 181, 150, 204, 147, 201, 160, 214, 138, 192, 116, 170, 136, 190, 130, 184, 131, 185, 126, 180, 121, 175, 146, 200, 143, 197, 139, 193, 142, 196, 137, 191, 129, 183)
	L = (1, 112)(2, 118)(3, 123)(4, 122)(5, 126)(6, 125)(7, 109)(8, 137)(9, 141)(10, 140)(11, 124)(12, 110)(13, 147)(14, 149)(15, 148)(16, 117)(17, 111)(18, 150)(19, 121)(20, 151)(21, 131)(22, 113)(23, 127)(24, 119)(25, 115)(26, 114)(27, 133)(28, 129)(29, 130)(30, 142)(31, 116)(32, 128)(33, 154)(34, 136)(35, 138)(36, 120)(37, 132)(38, 160)(39, 143)(40, 159)(41, 162)(42, 146)(43, 161)(44, 145)(45, 152)(46, 153)(47, 144)(48, 134)(49, 156)(50, 135)(51, 157)(52, 139)(53, 155)(54, 158)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.1023
Graph:: bipartite
	v = 9 e = 108 f = 45
	degree seq :: [ 18^6, 36^3 ]

E28.1042 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ R^2, (Y1^-1, Y3), (R * Y3)^2, (Y1^-1 * Y2^-1)^2, (R * Y1)^2, Y1^-1 * Y2^-2 * Y1^-1, (Y2^-1, Y1), (Y3 * Y2^-1)^2, (Y1^-1 * Y3^-1)^3, Y2^-1 * Y1 * Y3 * Y2 * Y3 * Y1, (R * Y2 * Y3^-1)^2, R * Y3^-1 * Y1 * Y2 * R * Y2^-1, Y1^-2 * Y3^-3 * Y1^-1, Y3 * Y1 * Y3^2 * Y2^-2, Y2^-2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-2, Y2^-2 * Y3^-3 * Y1^4 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 8, 62, 25, 79, 43, 97, 49, 103, 39, 93, 13, 67, 5, 59)(3, 57, 9, 63, 6, 60, 11, 65, 27, 81, 44, 98, 51, 105, 37, 91, 15, 69)(4, 58, 10, 64, 26, 80, 24, 78, 36, 90, 48, 102, 54, 108, 38, 92, 19, 73)(7, 61, 12, 66, 28, 82, 45, 99, 53, 107, 40, 94, 18, 72, 32, 86, 20, 74)(14, 68, 29, 83, 21, 75, 33, 87, 23, 77, 35, 89, 47, 101, 50, 104, 42, 96)(16, 70, 30, 84, 22, 76, 34, 88, 46, 100, 52, 106, 41, 95, 17, 71, 31, 85)(109, 163, 111, 165, 121, 175, 145, 199, 157, 211, 152, 206, 133, 187, 119, 173, 110, 164, 117, 171, 113, 167, 123, 177, 147, 201, 159, 213, 151, 205, 135, 189, 116, 170, 114, 168)(112, 166, 125, 179, 146, 200, 160, 214, 156, 210, 142, 196, 132, 186, 138, 192, 118, 172, 139, 193, 127, 181, 149, 203, 162, 216, 154, 208, 144, 198, 130, 184, 134, 188, 124, 178)(115, 169, 129, 183, 140, 194, 122, 176, 148, 202, 158, 212, 153, 207, 143, 197, 120, 174, 141, 195, 128, 182, 137, 191, 126, 180, 150, 204, 161, 215, 155, 209, 136, 190, 131, 185)
	L = (1, 112)(2, 118)(3, 122)(4, 126)(5, 127)(6, 129)(7, 109)(8, 134)(9, 137)(10, 140)(11, 141)(12, 110)(13, 146)(14, 149)(15, 150)(16, 111)(17, 145)(18, 147)(19, 148)(20, 113)(21, 139)(22, 114)(23, 138)(24, 115)(25, 132)(26, 128)(27, 131)(28, 116)(29, 125)(30, 117)(31, 123)(32, 121)(33, 124)(34, 119)(35, 130)(36, 120)(37, 158)(38, 161)(39, 162)(40, 157)(41, 159)(42, 160)(43, 144)(44, 143)(45, 133)(46, 135)(47, 142)(48, 136)(49, 156)(50, 154)(51, 155)(52, 152)(53, 151)(54, 153)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.1021
Graph:: bipartite
	v = 9 e = 108 f = 45
	degree seq :: [ 18^6, 36^3 ]

E28.1043 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-2, (Y3 * Y2^-1)^2, (Y3, Y1), (R * Y3)^2, (R * Y1)^2, Y3^3 * Y1^3, (R * Y2 * Y3^-1)^2, Y2 * Y3^3 * Y2 * Y1^2, Y1^9 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 8, 62, 24, 78, 46, 100, 54, 108, 36, 90, 17, 71, 5, 59)(3, 57, 9, 63, 25, 79, 47, 101, 52, 106, 53, 107, 39, 93, 18, 72, 6, 60)(4, 58, 10, 64, 26, 80, 23, 77, 31, 85, 49, 103, 50, 104, 38, 92, 16, 70)(7, 61, 11, 65, 27, 81, 48, 102, 51, 105, 37, 91, 15, 69, 30, 84, 19, 73)(12, 66, 28, 82, 43, 97, 33, 87, 34, 88, 35, 89, 41, 95, 22, 76, 20, 74)(13, 67, 14, 68, 29, 83, 45, 99, 44, 98, 42, 96, 32, 86, 40, 94, 21, 75)(109, 163, 111, 165, 110, 164, 117, 171, 116, 170, 133, 187, 132, 186, 155, 209, 154, 208, 160, 214, 162, 216, 161, 215, 144, 198, 147, 201, 125, 179, 126, 180, 113, 167, 114, 168)(112, 166, 122, 176, 118, 172, 137, 191, 134, 188, 153, 207, 131, 185, 152, 206, 139, 193, 150, 204, 157, 211, 140, 194, 158, 212, 148, 202, 146, 200, 129, 183, 124, 178, 121, 175)(115, 169, 128, 182, 119, 173, 120, 174, 135, 189, 136, 190, 156, 210, 151, 205, 159, 213, 141, 195, 145, 199, 142, 196, 123, 177, 143, 197, 138, 192, 149, 203, 127, 181, 130, 184)
	L = (1, 112)(2, 118)(3, 120)(4, 123)(5, 124)(6, 128)(7, 109)(8, 134)(9, 136)(10, 138)(11, 110)(12, 140)(13, 111)(14, 117)(15, 144)(16, 145)(17, 146)(18, 130)(19, 113)(20, 150)(21, 114)(22, 152)(23, 115)(24, 131)(25, 151)(26, 127)(27, 116)(28, 148)(29, 133)(30, 125)(31, 119)(32, 147)(33, 121)(34, 122)(35, 137)(36, 158)(37, 162)(38, 159)(39, 149)(40, 126)(41, 153)(42, 161)(43, 129)(44, 160)(45, 155)(46, 139)(47, 141)(48, 132)(49, 135)(50, 156)(51, 154)(52, 142)(53, 143)(54, 157)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.1027
Graph:: bipartite
	v = 9 e = 108 f = 45
	degree seq :: [ 18^6, 36^3 ]

E28.1044 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ R^2, (Y1, Y3^-1), (Y1, Y2^-1), (Y3 * Y2^-1)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y2 * Y3 * Y2, Y2^4 * Y1, (Y1^-1 * Y3^-1)^3, Y3^3 * Y1^-1 * Y2^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2 * Y1^-3 * Y2, Y2 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y3^-2, Y3^-1 * Y1^-1 * Y2 * Y1^-1 * Y3^2 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 8, 62, 28, 82, 13, 67, 24, 78, 36, 90, 20, 74, 5, 59)(3, 57, 9, 63, 29, 83, 49, 103, 21, 75, 6, 60, 11, 65, 31, 85, 15, 69)(4, 58, 10, 64, 30, 84, 27, 81, 39, 93, 43, 97, 54, 108, 48, 102, 19, 73)(7, 61, 12, 66, 32, 86, 53, 107, 40, 94, 47, 101, 18, 72, 34, 88, 22, 76)(14, 68, 26, 80, 38, 92, 44, 98, 50, 104, 23, 77, 35, 89, 46, 100, 41, 95)(16, 70, 33, 87, 51, 105, 45, 99, 17, 71, 25, 79, 37, 91, 52, 106, 42, 96)(109, 163, 111, 165, 121, 175, 129, 183, 113, 167, 123, 177, 136, 190, 157, 211, 128, 182, 139, 193, 116, 170, 137, 191, 144, 198, 119, 173, 110, 164, 117, 171, 132, 186, 114, 168)(112, 166, 125, 179, 147, 201, 150, 204, 127, 181, 153, 207, 135, 189, 160, 214, 156, 210, 159, 213, 138, 192, 145, 199, 162, 216, 141, 195, 118, 172, 133, 187, 151, 205, 124, 178)(115, 169, 131, 185, 148, 202, 122, 176, 130, 184, 158, 212, 161, 215, 149, 203, 142, 196, 152, 206, 140, 194, 154, 208, 126, 180, 146, 200, 120, 174, 143, 197, 155, 209, 134, 188)
	L = (1, 112)(2, 118)(3, 122)(4, 126)(5, 127)(6, 131)(7, 109)(8, 138)(9, 134)(10, 142)(11, 143)(12, 110)(13, 147)(14, 145)(15, 149)(16, 111)(17, 129)(18, 144)(19, 155)(20, 156)(21, 158)(22, 113)(23, 159)(24, 151)(25, 114)(26, 160)(27, 115)(28, 135)(29, 146)(30, 130)(31, 154)(32, 116)(33, 117)(34, 128)(35, 153)(36, 162)(37, 119)(38, 150)(39, 120)(40, 121)(41, 133)(42, 123)(43, 140)(44, 124)(45, 157)(46, 125)(47, 132)(48, 148)(49, 152)(50, 141)(51, 137)(52, 139)(53, 136)(54, 161)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.1025
Graph:: bipartite
	v = 9 e = 108 f = 45
	degree seq :: [ 18^6, 36^3 ]

E28.1045 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1 * Y2^2, (Y3^-1 * Y2)^2, Y2^-1 * Y3 * Y1^-1 * Y2^-1, (Y1^-1, Y3), Y1 * Y2 * Y3 * Y2^-1, Y3 * Y2 * Y1 * Y2^-1, (R * Y1)^2, (R * Y3)^2, Y3^-3 * Y1^-3, (R * Y2 * Y3^-1)^2, Y1^-2 * R * Y2 * R * Y2^-1, Y1^9, Y1 * Y2^-1 * Y3^-3 * Y2^-2 * Y1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 8, 62, 22, 76, 40, 94, 52, 106, 38, 92, 18, 72, 5, 59)(3, 57, 13, 67, 31, 85, 41, 95, 25, 79, 45, 99, 54, 108, 37, 91, 16, 70)(4, 58, 10, 64, 24, 78, 21, 75, 30, 84, 46, 100, 53, 107, 35, 89, 14, 68)(6, 60, 20, 74, 39, 93, 42, 96, 50, 104, 36, 90, 47, 101, 27, 81, 9, 63)(7, 61, 12, 66, 26, 80, 43, 97, 49, 103, 34, 88, 17, 71, 28, 82, 19, 73)(11, 65, 29, 83, 48, 102, 51, 105, 33, 87, 15, 69, 32, 86, 44, 98, 23, 77)(109, 163, 111, 165, 122, 176, 141, 195, 157, 211, 150, 204, 130, 184, 149, 203, 132, 186, 152, 206, 136, 190, 155, 209, 146, 200, 162, 216, 154, 208, 137, 191, 120, 174, 114, 168)(110, 164, 117, 171, 112, 166, 124, 178, 142, 196, 159, 213, 148, 202, 147, 201, 129, 183, 139, 193, 127, 181, 140, 194, 126, 180, 144, 198, 161, 215, 153, 207, 134, 188, 119, 173)(113, 167, 123, 177, 143, 197, 158, 212, 151, 205, 133, 187, 116, 170, 131, 185, 118, 172, 135, 189, 125, 179, 145, 199, 160, 214, 156, 210, 138, 192, 128, 182, 115, 169, 121, 175)
	L = (1, 112)(2, 118)(3, 123)(4, 125)(5, 122)(6, 121)(7, 109)(8, 132)(9, 111)(10, 136)(11, 114)(12, 110)(13, 140)(14, 142)(15, 144)(16, 141)(17, 146)(18, 143)(19, 113)(20, 139)(21, 115)(22, 129)(23, 117)(24, 127)(25, 119)(26, 116)(27, 124)(28, 126)(29, 128)(30, 120)(31, 152)(32, 155)(33, 158)(34, 160)(35, 157)(36, 162)(37, 159)(38, 161)(39, 149)(40, 138)(41, 131)(42, 133)(43, 130)(44, 135)(45, 137)(46, 134)(47, 145)(48, 147)(49, 148)(50, 153)(51, 150)(52, 154)(53, 151)(54, 156)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.1022
Graph:: bipartite
	v = 9 e = 108 f = 45
	degree seq :: [ 18^6, 36^3 ]

E28.1046 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^-1, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y3)^2, Y1^-4 * Y3^-1, Y1^3 * Y3 * Y1, Y1^-1 * Y2 * Y1 * Y2 * Y1^-1, Y2 * Y1^-1 * R * Y2^-1 * R, Y3 * Y2 * Y3 * Y2^-3, Y1 * Y2^2 * Y1^-1 * Y2^-2, Y2 * Y3 * Y1 * Y2^-1 * Y3^-1 * Y1^-1, Y2^-2 * Y1 * Y2^-1 * Y1 * Y2^-1, Y2^2 * Y1^2 * Y2 * Y3 * Y2, Y3 * Y1 * Y3 * Y1 * Y2^12 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 8, 62, 21, 75, 7, 61, 4, 58, 10, 64, 19, 73, 5, 59)(3, 57, 12, 66, 37, 91, 44, 98, 16, 70, 14, 68, 33, 87, 20, 74, 15, 69)(6, 60, 22, 76, 9, 63, 29, 83, 26, 80, 23, 77, 32, 86, 31, 85, 24, 78)(11, 65, 34, 88, 28, 82, 27, 81, 36, 90, 17, 71, 46, 100, 47, 101, 18, 72)(13, 67, 30, 84, 50, 104, 54, 108, 41, 95, 39, 93, 52, 106, 43, 97, 40, 94)(25, 79, 35, 89, 38, 92, 51, 105, 49, 103, 45, 99, 53, 107, 42, 96, 48, 102)(109, 163, 111, 165, 121, 175, 142, 196, 159, 213, 137, 191, 129, 183, 152, 206, 162, 216, 144, 198, 161, 215, 140, 194, 118, 172, 141, 195, 160, 214, 155, 209, 133, 187, 114, 168)(110, 164, 117, 171, 138, 192, 145, 199, 157, 211, 135, 189, 115, 169, 131, 185, 149, 203, 122, 176, 150, 204, 154, 208, 127, 181, 132, 186, 151, 205, 123, 177, 143, 197, 119, 173)(112, 166, 125, 179, 147, 201, 139, 193, 156, 210, 128, 182, 113, 167, 126, 180, 148, 202, 130, 184, 146, 200, 120, 174, 116, 170, 136, 190, 158, 212, 134, 188, 153, 207, 124, 178)
	L = (1, 112)(2, 118)(3, 122)(4, 110)(5, 115)(6, 131)(7, 109)(8, 127)(9, 139)(10, 116)(11, 125)(12, 141)(13, 147)(14, 120)(15, 124)(16, 111)(17, 142)(18, 144)(19, 129)(20, 152)(21, 113)(22, 140)(23, 130)(24, 134)(25, 153)(26, 114)(27, 126)(28, 155)(29, 132)(30, 160)(31, 137)(32, 117)(33, 145)(34, 154)(35, 161)(36, 119)(37, 128)(38, 150)(39, 138)(40, 149)(41, 121)(42, 159)(43, 162)(44, 123)(45, 143)(46, 136)(47, 135)(48, 157)(49, 133)(50, 151)(51, 156)(52, 158)(53, 146)(54, 148)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.1018
Graph:: bipartite
	v = 9 e = 108 f = 45
	degree seq :: [ 18^6, 36^3 ]

E28.1047 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ R^2, (Y3, Y1), (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y3)^2, Y3 * Y1 * Y2^-1 * Y3^-1 * Y2^-1, Y2^-1 * Y1 * R * Y2 * R, Y1 * Y2 * Y1^-2 * Y2, Y3^-3 * Y1^-3, Y3^-1 * Y2^2 * Y3 * Y2^-2, Y1^2 * Y2 * Y1 * Y3 * Y2, (Y2 * Y3 * Y1^-1)^2, Y3^2 * Y1^-1 * Y2^2 * Y1^-1, Y2 * Y1^-1 * Y2^3 * Y1^-1, Y1^9 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 8, 62, 32, 86, 49, 103, 48, 102, 50, 104, 22, 76, 5, 59)(3, 57, 13, 67, 46, 100, 52, 106, 26, 80, 18, 72, 38, 92, 23, 77, 16, 70)(4, 58, 10, 64, 34, 88, 31, 85, 45, 99, 14, 68, 37, 91, 51, 105, 20, 74)(6, 60, 25, 79, 9, 63, 36, 90, 30, 84, 17, 71, 42, 96, 39, 93, 27, 81)(7, 61, 12, 66, 35, 89, 54, 108, 28, 82, 43, 97, 19, 73, 40, 94, 24, 78)(11, 65, 41, 95, 33, 87, 29, 83, 44, 98, 15, 69, 47, 101, 53, 107, 21, 75)(109, 163, 111, 165, 122, 176, 149, 203, 148, 202, 144, 198, 140, 194, 160, 214, 128, 182, 152, 206, 120, 174, 150, 204, 158, 212, 146, 200, 142, 196, 161, 215, 136, 190, 114, 168)(110, 164, 117, 171, 145, 199, 154, 208, 132, 186, 137, 191, 157, 211, 125, 179, 112, 166, 126, 180, 143, 197, 155, 209, 130, 184, 135, 189, 139, 193, 124, 178, 151, 205, 119, 173)(113, 167, 129, 183, 153, 207, 133, 187, 127, 181, 121, 175, 116, 170, 141, 195, 159, 213, 138, 192, 115, 169, 134, 188, 156, 210, 123, 177, 118, 172, 147, 201, 162, 216, 131, 185)
	L = (1, 112)(2, 118)(3, 123)(4, 127)(5, 128)(6, 134)(7, 109)(8, 142)(9, 146)(10, 148)(11, 150)(12, 110)(13, 155)(14, 143)(15, 117)(16, 152)(17, 111)(18, 149)(19, 158)(20, 151)(21, 125)(22, 159)(23, 137)(24, 113)(25, 126)(26, 119)(27, 160)(28, 157)(29, 114)(30, 124)(31, 115)(32, 139)(33, 135)(34, 132)(35, 116)(36, 131)(37, 162)(38, 141)(39, 154)(40, 130)(41, 147)(42, 121)(43, 156)(44, 133)(45, 120)(46, 161)(47, 144)(48, 122)(49, 153)(50, 145)(51, 136)(52, 129)(53, 138)(54, 140)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.1028
Graph:: bipartite
	v = 9 e = 108 f = 45
	degree seq :: [ 18^6, 36^3 ]

E28.1048 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ R^2, (Y2 * Y3^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y1, Y3^-1), Y3 * Y2^2 * Y1 * Y3, Y1 * Y2^-1 * Y3^-1 * Y2 * Y1, Y1^2 * Y3 * Y2^-2, (Y2^-1 * Y1^-1 * R)^2, Y2 * Y1 * Y3^-2 * Y2 * Y1^-1, Y1 * Y2 * Y3 * Y1^-1 * Y2^-1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y1^9, Y2^18 ]
Map:: polytopal non-degenerate
	R = (1, 55, 2, 56, 8, 62, 32, 86, 52, 106, 42, 96, 47, 101, 22, 76, 5, 59)(3, 57, 13, 67, 18, 72, 35, 89, 23, 77, 51, 105, 49, 103, 26, 80, 16, 70)(4, 58, 10, 64, 14, 68, 31, 85, 41, 95, 53, 107, 46, 100, 48, 102, 20, 74)(6, 60, 25, 79, 17, 71, 38, 92, 36, 90, 9, 63, 34, 88, 30, 84, 27, 81)(7, 61, 12, 66, 33, 87, 43, 97, 54, 108, 45, 99, 19, 73, 28, 82, 24, 78)(11, 65, 37, 91, 21, 75, 50, 104, 44, 98, 15, 69, 29, 83, 40, 94, 39, 93)(109, 163, 111, 165, 122, 176, 148, 202, 120, 174, 146, 200, 140, 194, 143, 197, 161, 215, 145, 199, 162, 216, 142, 196, 155, 209, 157, 211, 128, 182, 152, 206, 136, 190, 114, 168)(110, 164, 117, 171, 139, 193, 159, 213, 141, 195, 158, 212, 160, 214, 135, 189, 154, 208, 124, 178, 153, 207, 137, 191, 130, 184, 125, 179, 112, 166, 126, 180, 132, 186, 119, 173)(113, 167, 129, 183, 118, 172, 138, 192, 115, 169, 134, 188, 116, 170, 123, 177, 149, 203, 133, 187, 151, 205, 121, 175, 150, 204, 147, 201, 156, 210, 144, 198, 127, 181, 131, 185)
	L = (1, 112)(2, 118)(3, 123)(4, 127)(5, 128)(6, 134)(7, 109)(8, 122)(9, 143)(10, 136)(11, 146)(12, 110)(13, 137)(14, 132)(15, 135)(16, 152)(17, 111)(18, 148)(19, 155)(20, 153)(21, 117)(22, 156)(23, 119)(24, 113)(25, 124)(26, 158)(27, 157)(28, 130)(29, 114)(30, 159)(31, 115)(32, 139)(33, 116)(34, 131)(35, 147)(36, 126)(37, 144)(38, 121)(39, 125)(40, 133)(41, 120)(42, 161)(43, 140)(44, 138)(45, 150)(46, 151)(47, 154)(48, 162)(49, 129)(50, 142)(51, 145)(52, 149)(53, 141)(54, 160)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.1026
Graph:: bipartite
	v = 9 e = 108 f = 45
	degree seq :: [ 18^6, 36^3 ]

E28.1049 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-1 * Y1, (Y2^-1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1, Y1^-1 * Y3^-4, Y2^3 * Y1^-1 * Y2 * Y3, Y3 * Y2 * Y3 * Y2^-3, (R * Y2 * Y3^-1)^2, Y2^-2 * Y1 * Y2^-1 * Y3^-1 * Y2^-1, Y2 * Y3 * Y1 * Y2^-1 * Y3^-1 * Y1^-1, Y2^2 * Y1 * Y2^-2 * Y1^-1, Y2^-1 * Y3^-1 * Y1^-1 * Y2 * Y1^-1 * Y3^2, Y1 * Y2^7 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 4, 58, 9, 63, 17, 71, 27, 81, 20, 74, 7, 61, 5, 59)(3, 57, 11, 65, 13, 67, 32, 86, 19, 73, 45, 99, 43, 97, 15, 69, 14, 68)(6, 60, 21, 75, 22, 76, 31, 85, 30, 84, 8, 62, 28, 82, 25, 79, 23, 77)(10, 64, 33, 87, 18, 72, 47, 101, 46, 100, 16, 70, 26, 80, 36, 90, 34, 88)(12, 66, 29, 83, 38, 92, 50, 104, 42, 96, 51, 105, 54, 108, 40, 94, 39, 93)(24, 78, 35, 89, 44, 98, 52, 106, 53, 107, 37, 91, 49, 103, 41, 95, 48, 102)(109, 163, 111, 165, 120, 174, 144, 198, 160, 214, 139, 193, 117, 171, 140, 194, 158, 212, 141, 195, 157, 211, 136, 190, 128, 182, 151, 205, 162, 216, 154, 208, 132, 186, 114, 168)(110, 164, 116, 170, 137, 191, 153, 207, 161, 215, 155, 209, 125, 179, 131, 185, 150, 204, 122, 176, 149, 203, 134, 188, 115, 169, 130, 184, 148, 202, 121, 175, 143, 197, 118, 172)(112, 166, 124, 178, 146, 200, 129, 183, 145, 199, 119, 173, 135, 189, 142, 196, 159, 213, 138, 192, 156, 210, 127, 181, 113, 167, 126, 180, 147, 201, 133, 187, 152, 206, 123, 177)
	L = (1, 112)(2, 117)(3, 121)(4, 125)(5, 110)(6, 130)(7, 109)(8, 133)(9, 135)(10, 126)(11, 140)(12, 146)(13, 127)(14, 119)(15, 111)(16, 144)(17, 128)(18, 154)(19, 151)(20, 113)(21, 139)(22, 138)(23, 129)(24, 152)(25, 114)(26, 142)(27, 115)(28, 131)(29, 158)(30, 136)(31, 116)(32, 153)(33, 155)(34, 141)(35, 160)(36, 118)(37, 149)(38, 150)(39, 137)(40, 120)(41, 132)(42, 162)(43, 122)(44, 161)(45, 123)(46, 134)(47, 124)(48, 143)(49, 156)(50, 159)(51, 148)(52, 145)(53, 157)(54, 147)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.1019
Graph:: bipartite
	v = 9 e = 108 f = 45
	degree seq :: [ 18^6, 36^3 ]

E28.1050 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2, Y3^-1), (R * Y1)^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y3)^2, (R * Y2)^2, (Y3^-1 * Y2 * Y1)^2, Y3 * Y2^-2 * Y1 * Y3 * Y1, Y3^2 * Y2^-1 * Y1 * Y3^-1 * Y1, Y2^9, Y2^3 * Y3^-12 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 7, 61)(4, 58, 14, 68)(5, 59, 9, 63)(6, 60, 19, 73)(8, 62, 24, 78)(10, 64, 29, 83)(11, 65, 21, 75)(12, 66, 25, 79)(13, 67, 26, 80)(15, 69, 22, 76)(16, 70, 23, 77)(17, 71, 27, 81)(18, 72, 30, 84)(20, 74, 28, 82)(31, 85, 37, 91)(32, 86, 39, 93)(33, 87, 38, 92)(34, 88, 40, 94)(35, 89, 42, 96)(36, 90, 41, 95)(43, 97, 49, 103)(44, 98, 51, 105)(45, 99, 50, 104)(46, 100, 52, 106)(47, 101, 54, 108)(48, 102, 53, 107)(109, 163, 111, 165, 119, 173, 139, 193, 151, 205, 154, 208, 142, 196, 125, 179, 113, 167)(110, 164, 115, 169, 129, 183, 145, 199, 157, 211, 160, 214, 148, 202, 135, 189, 117, 171)(112, 166, 120, 174, 140, 194, 152, 206, 156, 210, 144, 198, 128, 182, 137, 191, 124, 178)(114, 168, 121, 175, 132, 186, 123, 177, 141, 195, 153, 207, 155, 209, 143, 197, 126, 180)(116, 170, 130, 184, 146, 200, 158, 212, 162, 216, 150, 204, 138, 192, 127, 181, 134, 188)(118, 172, 131, 185, 122, 176, 133, 187, 147, 201, 159, 213, 161, 215, 149, 203, 136, 190)
	L = (1, 112)(2, 116)(3, 120)(4, 123)(5, 124)(6, 109)(7, 130)(8, 133)(9, 134)(10, 110)(11, 140)(12, 141)(13, 111)(14, 129)(15, 139)(16, 132)(17, 137)(18, 113)(19, 131)(20, 114)(21, 146)(22, 147)(23, 115)(24, 119)(25, 145)(26, 122)(27, 127)(28, 117)(29, 121)(30, 118)(31, 152)(32, 153)(33, 151)(34, 128)(35, 125)(36, 126)(37, 158)(38, 159)(39, 157)(40, 138)(41, 135)(42, 136)(43, 156)(44, 155)(45, 154)(46, 144)(47, 142)(48, 143)(49, 162)(50, 161)(51, 160)(52, 150)(53, 148)(54, 149)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 36, 6, 36 ), ( 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.1061
Graph:: simple bipartite
	v = 33 e = 108 f = 21
	degree seq :: [ 4^27, 18^6 ]

E28.1051 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2^-1), Y1 * Y2^-1 * Y1 * Y2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^3 * Y2^-3, Y1 * Y2^-1 * Y3 * Y1 * Y3^-2 * Y2^-1, Y1 * Y3^2 * Y1 * Y2^2 * Y3^-1, Y2 * Y3 * Y2 * Y1 * Y3^-1 * Y1 * Y3, Y2^9, (Y3^-1 * Y1)^18 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 7, 61)(4, 58, 14, 68)(5, 59, 9, 63)(6, 60, 19, 73)(8, 62, 24, 78)(10, 64, 29, 83)(11, 65, 21, 75)(12, 66, 34, 88)(13, 67, 36, 90)(15, 69, 41, 95)(16, 70, 39, 93)(17, 71, 27, 81)(18, 72, 44, 98)(20, 74, 48, 102)(22, 76, 50, 104)(23, 77, 45, 99)(25, 79, 37, 91)(26, 80, 35, 89)(28, 82, 53, 107)(30, 84, 33, 87)(31, 85, 49, 103)(32, 86, 46, 100)(38, 92, 51, 105)(40, 94, 43, 97)(42, 96, 52, 106)(47, 101, 54, 108)(109, 163, 111, 165, 119, 173, 139, 193, 162, 216, 159, 213, 150, 204, 125, 179, 113, 167)(110, 164, 115, 169, 129, 183, 157, 211, 155, 209, 146, 200, 160, 214, 135, 189, 117, 171)(112, 166, 120, 174, 140, 194, 161, 215, 137, 191, 153, 207, 128, 182, 145, 199, 124, 178)(114, 168, 121, 175, 141, 195, 123, 177, 143, 197, 132, 186, 158, 212, 151, 205, 126, 180)(116, 170, 130, 184, 148, 202, 152, 206, 127, 181, 144, 198, 138, 192, 149, 203, 134, 188)(118, 172, 131, 185, 156, 210, 133, 187, 147, 201, 122, 176, 142, 196, 154, 208, 136, 190)
	L = (1, 112)(2, 116)(3, 120)(4, 123)(5, 124)(6, 109)(7, 130)(8, 133)(9, 134)(10, 110)(11, 140)(12, 143)(13, 111)(14, 146)(15, 139)(16, 141)(17, 145)(18, 113)(19, 154)(20, 114)(21, 148)(22, 147)(23, 115)(24, 159)(25, 157)(26, 156)(27, 149)(28, 117)(29, 151)(30, 118)(31, 161)(32, 132)(33, 119)(34, 160)(35, 162)(36, 136)(37, 121)(38, 144)(39, 155)(40, 122)(41, 131)(42, 128)(43, 125)(44, 142)(45, 126)(46, 135)(47, 127)(48, 129)(49, 152)(50, 150)(51, 153)(52, 138)(53, 158)(54, 137)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 36, 6, 36 ), ( 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.1065
Graph:: simple bipartite
	v = 33 e = 108 f = 21
	degree seq :: [ 4^27, 18^6 ]

E28.1052 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2^-1, Y3), (R * Y1)^2, (R * Y2)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y3)^2, Y2 * Y1 * Y3 * Y1 * Y3, Y2^-3 * Y3^3, Y2^9 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 7, 61)(4, 58, 14, 68)(5, 59, 9, 63)(6, 60, 19, 73)(8, 62, 18, 72)(10, 64, 12, 66)(11, 65, 21, 75)(13, 67, 31, 85)(15, 69, 35, 89)(16, 70, 33, 87)(17, 71, 25, 79)(20, 74, 40, 94)(22, 76, 28, 82)(23, 77, 44, 98)(24, 78, 37, 91)(26, 80, 46, 100)(27, 81, 41, 95)(29, 83, 49, 103)(30, 84, 34, 88)(32, 86, 50, 104)(36, 90, 45, 99)(38, 92, 39, 93)(42, 96, 48, 102)(43, 97, 54, 108)(47, 101, 52, 106)(51, 105, 53, 107)(109, 163, 111, 165, 119, 173, 135, 189, 155, 209, 161, 215, 144, 198, 125, 179, 113, 167)(110, 164, 115, 169, 129, 183, 149, 203, 160, 214, 159, 213, 153, 207, 133, 187, 117, 171)(112, 166, 120, 174, 136, 190, 156, 210, 152, 206, 146, 200, 128, 182, 140, 194, 124, 178)(114, 168, 121, 175, 137, 191, 123, 177, 138, 192, 154, 208, 162, 216, 145, 199, 126, 180)(116, 170, 127, 181, 139, 193, 157, 211, 143, 197, 142, 196, 134, 188, 151, 205, 132, 186)(118, 172, 130, 184, 150, 204, 131, 185, 147, 201, 148, 202, 158, 212, 141, 195, 122, 176)
	L = (1, 112)(2, 116)(3, 120)(4, 123)(5, 124)(6, 109)(7, 127)(8, 131)(9, 132)(10, 110)(11, 136)(12, 138)(13, 111)(14, 117)(15, 135)(16, 137)(17, 140)(18, 113)(19, 147)(20, 114)(21, 139)(22, 115)(23, 149)(24, 150)(25, 151)(26, 118)(27, 156)(28, 154)(29, 119)(30, 155)(31, 148)(32, 121)(33, 133)(34, 122)(35, 141)(36, 128)(37, 125)(38, 126)(39, 160)(40, 159)(41, 157)(42, 129)(43, 130)(44, 145)(45, 134)(46, 161)(47, 152)(48, 162)(49, 158)(50, 153)(51, 142)(52, 143)(53, 146)(54, 144)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 36, 6, 36 ), ( 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.1064
Graph:: simple bipartite
	v = 33 e = 108 f = 21
	degree seq :: [ 4^27, 18^6 ]

E28.1053 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2^-1), Y1 * Y3^-1 * Y1 * Y3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^3 * Y2^-3, Y2^-1 * Y1 * Y2 * Y3^-1 * Y2 * Y1, Y2 * Y1 * Y2 * Y3^-2 * Y1, Y2^9, Y3^18 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 11, 65)(4, 58, 8, 62)(5, 59, 17, 71)(6, 60, 10, 64)(7, 61, 21, 75)(9, 63, 27, 81)(12, 66, 23, 77)(13, 67, 22, 76)(14, 68, 26, 80)(15, 69, 25, 79)(16, 70, 24, 78)(18, 72, 29, 83)(19, 73, 28, 82)(20, 74, 30, 84)(31, 85, 37, 91)(32, 86, 39, 93)(33, 87, 38, 92)(34, 88, 40, 94)(35, 89, 42, 96)(36, 90, 41, 95)(43, 97, 51, 105)(44, 98, 50, 104)(45, 99, 49, 103)(46, 100, 54, 108)(47, 101, 53, 107)(48, 102, 52, 106)(109, 163, 111, 165, 120, 174, 139, 193, 151, 205, 154, 208, 142, 196, 126, 180, 113, 167)(110, 164, 115, 169, 130, 184, 145, 199, 157, 211, 160, 214, 148, 202, 136, 190, 117, 171)(112, 166, 121, 175, 140, 194, 152, 206, 156, 210, 144, 198, 128, 182, 135, 189, 124, 178)(114, 168, 122, 176, 129, 183, 123, 177, 141, 195, 153, 207, 155, 209, 143, 197, 127, 181)(116, 170, 131, 185, 146, 200, 158, 212, 162, 216, 150, 204, 138, 192, 125, 179, 134, 188)(118, 172, 132, 186, 119, 173, 133, 187, 147, 201, 159, 213, 161, 215, 149, 203, 137, 191)
	L = (1, 112)(2, 116)(3, 121)(4, 123)(5, 124)(6, 109)(7, 131)(8, 133)(9, 134)(10, 110)(11, 130)(12, 140)(13, 141)(14, 111)(15, 139)(16, 129)(17, 132)(18, 135)(19, 113)(20, 114)(21, 120)(22, 146)(23, 147)(24, 115)(25, 145)(26, 119)(27, 122)(28, 125)(29, 117)(30, 118)(31, 152)(32, 153)(33, 151)(34, 128)(35, 126)(36, 127)(37, 158)(38, 159)(39, 157)(40, 138)(41, 136)(42, 137)(43, 156)(44, 155)(45, 154)(46, 144)(47, 142)(48, 143)(49, 162)(50, 161)(51, 160)(52, 150)(53, 148)(54, 149)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 36, 6, 36 ), ( 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.1063
Graph:: simple bipartite
	v = 33 e = 108 f = 21
	degree seq :: [ 4^27, 18^6 ]

E28.1054 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2, Y3), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3 * Y1 * Y3^-1 * Y1, Y1 * Y3^-1 * Y2^-1 * Y1 * Y2^-1, Y1 * Y3^2 * Y1 * Y3^-2, Y2^-3 * Y3^3, Y2^9, Y3^18 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 11, 65)(4, 58, 8, 62)(5, 59, 17, 71)(6, 60, 10, 64)(7, 61, 19, 73)(9, 63, 13, 67)(12, 66, 29, 83)(14, 68, 28, 82)(15, 69, 23, 77)(16, 70, 35, 89)(18, 72, 37, 91)(20, 74, 26, 80)(21, 75, 41, 95)(22, 76, 40, 94)(24, 78, 33, 87)(25, 79, 45, 99)(27, 81, 31, 85)(30, 84, 42, 96)(32, 86, 50, 104)(34, 88, 48, 102)(36, 90, 39, 93)(38, 92, 46, 100)(43, 97, 51, 105)(44, 98, 53, 107)(47, 101, 54, 108)(49, 103, 52, 106)(109, 163, 111, 165, 120, 174, 138, 192, 159, 213, 161, 215, 146, 200, 126, 180, 113, 167)(110, 164, 115, 169, 129, 183, 150, 204, 158, 212, 156, 210, 154, 208, 133, 187, 117, 171)(112, 166, 121, 175, 139, 193, 160, 214, 149, 203, 148, 202, 128, 182, 142, 196, 124, 178)(114, 168, 122, 176, 140, 194, 123, 177, 141, 195, 153, 207, 162, 216, 147, 201, 127, 181)(116, 170, 125, 179, 144, 198, 157, 211, 137, 191, 136, 190, 134, 188, 152, 206, 132, 186)(118, 172, 130, 184, 151, 205, 131, 185, 143, 197, 145, 199, 155, 209, 135, 189, 119, 173)
	L = (1, 112)(2, 116)(3, 121)(4, 123)(5, 124)(6, 109)(7, 125)(8, 131)(9, 132)(10, 110)(11, 117)(12, 139)(13, 141)(14, 111)(15, 138)(16, 140)(17, 143)(18, 142)(19, 113)(20, 114)(21, 144)(22, 115)(23, 150)(24, 151)(25, 152)(26, 118)(27, 133)(28, 119)(29, 135)(30, 160)(31, 153)(32, 120)(33, 159)(34, 122)(35, 158)(36, 145)(37, 156)(38, 128)(39, 126)(40, 127)(41, 147)(42, 157)(43, 129)(44, 130)(45, 161)(46, 134)(47, 154)(48, 136)(49, 155)(50, 137)(51, 149)(52, 162)(53, 148)(54, 146)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 36, 6, 36 ), ( 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.1071
Graph:: simple bipartite
	v = 33 e = 108 f = 21
	degree seq :: [ 4^27, 18^6 ]

E28.1055 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2^-1), Y3 * Y1 * Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^3 * Y2^-3, Y1 * Y3 * Y2^-1 * Y3 * Y1 * Y2^2, Y2 * Y3 * Y2 * Y1 * Y2^-1 * Y1 * Y3, Y1 * Y2^2 * Y3 * Y1 * Y3 * Y2^-1, Y2^9, Y3^18 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 11, 65)(4, 58, 8, 62)(5, 59, 17, 71)(6, 60, 10, 64)(7, 61, 21, 75)(9, 63, 27, 81)(12, 66, 35, 89)(13, 67, 32, 86)(14, 68, 34, 88)(15, 69, 25, 79)(16, 70, 41, 95)(18, 72, 45, 99)(19, 73, 44, 98)(20, 74, 30, 84)(22, 76, 40, 94)(23, 77, 50, 104)(24, 78, 37, 91)(26, 80, 47, 101)(28, 82, 38, 92)(29, 83, 53, 107)(31, 85, 49, 103)(33, 87, 48, 102)(36, 90, 51, 105)(39, 93, 42, 96)(43, 97, 52, 106)(46, 100, 54, 108)(109, 163, 111, 165, 120, 174, 144, 198, 161, 215, 158, 212, 154, 208, 126, 180, 113, 167)(110, 164, 115, 169, 130, 184, 159, 213, 152, 206, 140, 194, 162, 216, 136, 190, 117, 171)(112, 166, 121, 175, 145, 199, 160, 214, 135, 189, 156, 210, 128, 182, 148, 202, 124, 178)(114, 168, 122, 176, 146, 200, 123, 177, 147, 201, 129, 183, 157, 211, 155, 209, 127, 181)(116, 170, 131, 185, 142, 196, 151, 205, 125, 179, 150, 204, 138, 192, 143, 197, 134, 188)(118, 172, 132, 186, 153, 207, 133, 187, 141, 195, 119, 173, 139, 193, 149, 203, 137, 191)
	L = (1, 112)(2, 116)(3, 121)(4, 123)(5, 124)(6, 109)(7, 131)(8, 133)(9, 134)(10, 110)(11, 140)(12, 145)(13, 147)(14, 111)(15, 144)(16, 146)(17, 149)(18, 148)(19, 113)(20, 114)(21, 158)(22, 142)(23, 141)(24, 115)(25, 159)(26, 153)(27, 155)(28, 143)(29, 117)(30, 118)(31, 162)(32, 150)(33, 152)(34, 119)(35, 132)(36, 160)(37, 129)(38, 120)(39, 161)(40, 122)(41, 136)(42, 137)(43, 139)(44, 125)(45, 130)(46, 128)(47, 126)(48, 127)(49, 154)(50, 156)(51, 151)(52, 157)(53, 135)(54, 138)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 36, 6, 36 ), ( 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.1068
Graph:: simple bipartite
	v = 33 e = 108 f = 21
	degree seq :: [ 4^27, 18^6 ]

E28.1056 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2, Y3^-1), (R * Y1)^2, Y1 * Y2 * Y1 * Y3^-1, (R * Y3)^2, (R * Y2)^2, Y2^-3 * Y3^3, Y2^-2 * Y3 * Y1 * Y3^2 * Y2^-1 * Y1, Y2^-2 * Y1 * Y2^-1 * Y3^2 * Y2 * Y1, Y3^-9, Y2^9 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 8, 62)(4, 58, 7, 61)(5, 59, 10, 64)(6, 60, 9, 63)(11, 65, 22, 76)(12, 66, 20, 74)(13, 67, 23, 77)(14, 68, 19, 73)(15, 69, 21, 75)(16, 70, 26, 80)(17, 71, 25, 79)(18, 72, 24, 78)(27, 81, 35, 89)(28, 82, 38, 92)(29, 83, 37, 91)(30, 84, 36, 90)(31, 85, 39, 93)(32, 86, 40, 94)(33, 87, 42, 96)(34, 88, 41, 95)(43, 97, 50, 104)(44, 98, 49, 103)(45, 99, 51, 105)(46, 100, 53, 107)(47, 101, 52, 106)(48, 102, 54, 108)(109, 163, 111, 165, 119, 173, 135, 189, 151, 205, 154, 208, 140, 194, 124, 178, 113, 167)(110, 164, 115, 169, 127, 181, 143, 197, 157, 211, 160, 214, 148, 202, 132, 186, 117, 171)(112, 166, 120, 174, 136, 190, 152, 206, 156, 210, 142, 196, 126, 180, 139, 193, 123, 177)(114, 168, 121, 175, 137, 191, 122, 176, 138, 192, 153, 207, 155, 209, 141, 195, 125, 179)(116, 170, 128, 182, 144, 198, 158, 212, 162, 216, 150, 204, 134, 188, 147, 201, 131, 185)(118, 172, 129, 183, 145, 199, 130, 184, 146, 200, 159, 213, 161, 215, 149, 203, 133, 187)
	L = (1, 112)(2, 116)(3, 120)(4, 122)(5, 123)(6, 109)(7, 128)(8, 130)(9, 131)(10, 110)(11, 136)(12, 138)(13, 111)(14, 135)(15, 137)(16, 139)(17, 113)(18, 114)(19, 144)(20, 146)(21, 115)(22, 143)(23, 145)(24, 147)(25, 117)(26, 118)(27, 152)(28, 153)(29, 119)(30, 151)(31, 121)(32, 126)(33, 124)(34, 125)(35, 158)(36, 159)(37, 127)(38, 157)(39, 129)(40, 134)(41, 132)(42, 133)(43, 156)(44, 155)(45, 154)(46, 142)(47, 140)(48, 141)(49, 162)(50, 161)(51, 160)(52, 150)(53, 148)(54, 149)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 36, 6, 36 ), ( 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.1062
Graph:: simple bipartite
	v = 33 e = 108 f = 21
	degree seq :: [ 4^27, 18^6 ]

E28.1057 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3 * Y1 * Y2^2 * Y1, Y3^3 * Y2^-3, Y2 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y3, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, Y3^6 * Y2^3, Y2^9 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 11, 65)(4, 58, 15, 69)(5, 59, 18, 72)(6, 60, 21, 75)(7, 61, 23, 77)(8, 62, 19, 73)(9, 63, 28, 82)(10, 64, 12, 66)(13, 67, 24, 78)(14, 68, 38, 92)(16, 70, 43, 97)(17, 71, 44, 98)(20, 74, 29, 83)(22, 76, 50, 104)(25, 79, 48, 102)(26, 80, 52, 106)(27, 81, 37, 91)(30, 84, 54, 108)(31, 85, 51, 105)(32, 86, 47, 101)(33, 87, 34, 88)(35, 89, 42, 96)(36, 90, 49, 103)(39, 93, 40, 94)(41, 95, 46, 100)(45, 99, 53, 107)(109, 163, 111, 165, 120, 174, 142, 196, 162, 216, 160, 214, 154, 208, 127, 181, 113, 167)(110, 164, 115, 169, 129, 183, 141, 195, 158, 212, 151, 205, 149, 203, 123, 177, 117, 171)(112, 166, 121, 175, 143, 197, 131, 185, 159, 213, 156, 210, 130, 184, 147, 201, 125, 179)(114, 168, 122, 176, 144, 198, 124, 178, 145, 199, 161, 215, 136, 190, 155, 209, 128, 182)(116, 170, 132, 186, 140, 194, 119, 173, 139, 193, 146, 200, 138, 192, 148, 202, 135, 189)(118, 172, 133, 187, 157, 211, 134, 188, 152, 206, 153, 207, 126, 180, 150, 204, 137, 191)
	L = (1, 112)(2, 116)(3, 121)(4, 124)(5, 125)(6, 109)(7, 132)(8, 134)(9, 135)(10, 110)(11, 126)(12, 143)(13, 145)(14, 111)(15, 148)(16, 142)(17, 144)(18, 149)(19, 147)(20, 113)(21, 140)(22, 114)(23, 136)(24, 152)(25, 115)(26, 141)(27, 157)(28, 154)(29, 117)(30, 118)(31, 150)(32, 153)(33, 119)(34, 131)(35, 161)(36, 120)(37, 162)(38, 137)(39, 122)(40, 133)(41, 138)(42, 123)(43, 146)(44, 158)(45, 151)(46, 130)(47, 127)(48, 128)(49, 129)(50, 139)(51, 155)(52, 156)(53, 160)(54, 159)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 36, 6, 36 ), ( 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.1070
Graph:: simple bipartite
	v = 33 e = 108 f = 21
	degree seq :: [ 4^27, 18^6 ]

E28.1058 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3 * Y2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^-1 * Y2 * Y3^-3, Y3 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y1, Y3 * Y1 * Y3^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1, Y3 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 11, 65)(4, 58, 13, 67)(5, 59, 16, 70)(6, 60, 17, 71)(7, 61, 19, 73)(8, 62, 21, 75)(9, 63, 24, 78)(10, 64, 25, 79)(12, 66, 20, 74)(14, 68, 33, 87)(15, 69, 23, 77)(18, 72, 40, 94)(22, 76, 47, 101)(26, 80, 54, 108)(27, 81, 41, 95)(28, 82, 42, 96)(29, 83, 48, 102)(30, 84, 52, 106)(31, 85, 45, 99)(32, 86, 49, 103)(34, 88, 43, 97)(35, 89, 46, 100)(36, 90, 50, 104)(37, 91, 51, 105)(38, 92, 44, 98)(39, 93, 53, 107)(109, 163, 111, 165, 114, 168, 120, 174, 126, 180, 122, 176, 123, 177, 112, 166, 113, 167)(110, 164, 115, 169, 118, 172, 128, 182, 134, 188, 130, 184, 131, 185, 116, 170, 117, 171)(119, 173, 135, 189, 138, 192, 148, 202, 139, 193, 140, 194, 121, 175, 136, 190, 137, 191)(124, 178, 142, 196, 145, 199, 125, 179, 146, 200, 147, 201, 141, 195, 143, 197, 144, 198)(127, 181, 149, 203, 152, 206, 162, 216, 153, 207, 154, 208, 129, 183, 150, 204, 151, 205)(132, 186, 156, 210, 159, 213, 133, 187, 160, 214, 161, 215, 155, 209, 157, 211, 158, 212)
	L = (1, 112)(2, 116)(3, 113)(4, 122)(5, 123)(6, 109)(7, 117)(8, 130)(9, 131)(10, 110)(11, 136)(12, 111)(13, 139)(14, 120)(15, 126)(16, 143)(17, 142)(18, 114)(19, 150)(20, 115)(21, 153)(22, 128)(23, 134)(24, 157)(25, 156)(26, 118)(27, 137)(28, 140)(29, 121)(30, 119)(31, 138)(32, 148)(33, 146)(34, 144)(35, 147)(36, 141)(37, 124)(38, 145)(39, 125)(40, 135)(41, 151)(42, 154)(43, 129)(44, 127)(45, 152)(46, 162)(47, 160)(48, 158)(49, 161)(50, 155)(51, 132)(52, 159)(53, 133)(54, 149)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 36, 6, 36 ), ( 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.1069
Graph:: bipartite
	v = 33 e = 108 f = 21
	degree seq :: [ 4^27, 18^6 ]

E28.1059 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2^3 * Y3^-1 * Y2, Y2 * Y1 * Y2^-1 * Y3 * Y1 * Y3^-1, Y2 * Y1 * Y3^-1 * Y1 * Y2^-1 * Y1 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 11, 65)(4, 58, 14, 68)(5, 59, 16, 70)(6, 60, 18, 72)(7, 61, 19, 73)(8, 62, 22, 76)(9, 63, 24, 78)(10, 64, 26, 80)(12, 66, 31, 85)(13, 67, 21, 75)(15, 69, 23, 77)(17, 71, 38, 92)(20, 74, 45, 99)(25, 79, 52, 106)(27, 81, 41, 95)(28, 82, 42, 96)(29, 83, 48, 102)(30, 84, 53, 107)(32, 86, 46, 100)(33, 87, 49, 103)(34, 88, 43, 97)(35, 89, 47, 101)(36, 90, 50, 104)(37, 91, 51, 105)(39, 93, 44, 98)(40, 94, 54, 108)(109, 163, 111, 165, 120, 174, 123, 177, 112, 166, 114, 168, 121, 175, 125, 179, 113, 167)(110, 164, 115, 169, 128, 182, 131, 185, 116, 170, 118, 172, 129, 183, 133, 187, 117, 171)(119, 173, 135, 189, 141, 195, 122, 176, 136, 190, 138, 192, 146, 200, 140, 194, 137, 191)(124, 178, 142, 196, 148, 202, 139, 193, 143, 197, 145, 199, 126, 180, 147, 201, 144, 198)(127, 181, 149, 203, 155, 209, 130, 184, 150, 204, 152, 206, 160, 214, 154, 208, 151, 205)(132, 186, 156, 210, 162, 216, 153, 207, 157, 211, 159, 213, 134, 188, 161, 215, 158, 212)
	L = (1, 112)(2, 116)(3, 114)(4, 113)(5, 123)(6, 109)(7, 118)(8, 117)(9, 131)(10, 110)(11, 136)(12, 121)(13, 111)(14, 140)(15, 125)(16, 143)(17, 120)(18, 142)(19, 150)(20, 129)(21, 115)(22, 154)(23, 133)(24, 157)(25, 128)(26, 156)(27, 138)(28, 137)(29, 122)(30, 119)(31, 147)(32, 141)(33, 146)(34, 145)(35, 144)(36, 139)(37, 124)(38, 135)(39, 148)(40, 126)(41, 152)(42, 151)(43, 130)(44, 127)(45, 161)(46, 155)(47, 160)(48, 159)(49, 158)(50, 153)(51, 132)(52, 149)(53, 162)(54, 134)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 36, 6, 36 ), ( 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.1066
Graph:: bipartite
	v = 33 e = 108 f = 21
	degree seq :: [ 4^27, 18^6 ]

E28.1060 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2 * Y1 * Y3^2 * Y1, Y3^3 * Y2^-3, Y2^-1 * Y3^-1 * Y1 * Y2 * Y3 * Y1, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1, Y2^9 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 11, 65)(4, 58, 15, 69)(5, 59, 18, 72)(6, 60, 21, 75)(7, 61, 22, 76)(8, 62, 26, 80)(9, 63, 16, 70)(10, 64, 30, 84)(12, 66, 34, 88)(13, 67, 24, 78)(14, 68, 39, 93)(17, 71, 44, 98)(19, 73, 46, 100)(20, 74, 29, 83)(23, 77, 51, 105)(25, 79, 36, 90)(27, 81, 48, 102)(28, 82, 53, 107)(31, 85, 40, 94)(32, 86, 38, 92)(33, 87, 47, 101)(35, 89, 42, 96)(37, 91, 45, 99)(41, 95, 52, 106)(43, 97, 49, 103)(50, 104, 54, 108)(109, 163, 111, 165, 120, 174, 143, 197, 134, 188, 138, 192, 155, 209, 127, 181, 113, 167)(110, 164, 115, 169, 131, 185, 150, 204, 123, 177, 129, 183, 141, 195, 136, 190, 117, 171)(112, 166, 121, 175, 144, 198, 161, 215, 160, 214, 157, 211, 130, 184, 148, 202, 125, 179)(114, 168, 122, 176, 145, 199, 124, 178, 146, 200, 162, 216, 159, 213, 156, 210, 128, 182)(116, 170, 132, 186, 147, 201, 154, 208, 149, 203, 140, 194, 119, 173, 139, 193, 135, 189)(118, 172, 133, 187, 153, 207, 126, 180, 151, 205, 158, 212, 142, 196, 152, 206, 137, 191)
	L = (1, 112)(2, 116)(3, 121)(4, 124)(5, 125)(6, 109)(7, 132)(8, 126)(9, 135)(10, 110)(11, 118)(12, 144)(13, 146)(14, 111)(15, 149)(16, 143)(17, 145)(18, 150)(19, 148)(20, 113)(21, 140)(22, 114)(23, 147)(24, 151)(25, 115)(26, 160)(27, 153)(28, 139)(29, 117)(30, 157)(31, 133)(32, 137)(33, 119)(34, 141)(35, 161)(36, 162)(37, 120)(38, 134)(39, 158)(40, 122)(41, 152)(42, 154)(43, 123)(44, 136)(45, 131)(46, 142)(47, 130)(48, 127)(49, 128)(50, 129)(51, 155)(52, 156)(53, 159)(54, 138)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 36, 6, 36 ), ( 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.1067
Graph:: simple bipartite
	v = 33 e = 108 f = 21
	degree seq :: [ 4^27, 18^6 ]

E28.1061 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^3, Y2^-1 * Y3 * Y2 * Y3, (Y3 * Y1^-1)^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-9 * Y3 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 10, 64, 7, 61)(4, 58, 13, 67, 8, 62)(6, 60, 15, 69, 9, 63)(11, 65, 17, 71, 21, 75)(12, 66, 18, 72, 22, 76)(14, 68, 19, 73, 25, 79)(16, 70, 20, 74, 27, 81)(23, 77, 33, 87, 29, 83)(24, 78, 34, 88, 30, 84)(26, 80, 37, 91, 31, 85)(28, 82, 39, 93, 32, 86)(35, 89, 41, 95, 45, 99)(36, 90, 42, 96, 46, 100)(38, 92, 43, 97, 49, 103)(40, 94, 44, 98, 50, 104)(47, 101, 53, 107, 51, 105)(48, 102, 54, 108, 52, 106)(109, 163, 111, 165, 119, 173, 131, 185, 143, 197, 155, 209, 146, 200, 134, 188, 122, 176, 112, 166, 120, 174, 132, 186, 144, 198, 156, 210, 148, 202, 136, 190, 124, 178, 114, 168)(110, 164, 115, 169, 125, 179, 137, 191, 149, 203, 159, 213, 151, 205, 139, 193, 127, 181, 116, 170, 126, 180, 138, 192, 150, 204, 160, 214, 152, 206, 140, 194, 128, 182, 117, 171)(113, 167, 118, 172, 129, 183, 141, 195, 153, 207, 161, 215, 157, 211, 145, 199, 133, 187, 121, 175, 130, 184, 142, 196, 154, 208, 162, 216, 158, 212, 147, 201, 135, 189, 123, 177)
	L = (1, 112)(2, 116)(3, 120)(4, 109)(5, 121)(6, 122)(7, 126)(8, 110)(9, 127)(10, 130)(11, 132)(12, 111)(13, 113)(14, 114)(15, 133)(16, 134)(17, 138)(18, 115)(19, 117)(20, 139)(21, 142)(22, 118)(23, 144)(24, 119)(25, 123)(26, 124)(27, 145)(28, 146)(29, 150)(30, 125)(31, 128)(32, 151)(33, 154)(34, 129)(35, 156)(36, 131)(37, 135)(38, 136)(39, 157)(40, 155)(41, 160)(42, 137)(43, 140)(44, 159)(45, 162)(46, 141)(47, 148)(48, 143)(49, 147)(50, 161)(51, 152)(52, 149)(53, 158)(54, 153)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 18, 4, 18, 4, 18 ), ( 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.1050
Graph:: bipartite
	v = 21 e = 108 f = 33
	degree seq :: [ 6^18, 36^3 ]

E28.1062 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^3, Y1^-1 * Y2 * Y1^-1 * Y2^-1, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y3 * Y2 * Y1 * Y3, R * Y2 * Y1 * R * Y2, Y1 * Y2^-2 * Y1 * Y3 * Y2^3 * Y1^-1 * Y3 * Y2^-1, Y2 * Y1^-1 * Y2^2 * Y3 * Y2^6 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 10, 64, 7, 61)(4, 58, 13, 67, 8, 62)(6, 60, 16, 70, 9, 63)(11, 65, 19, 73, 23, 77)(12, 66, 20, 74, 14, 68)(15, 69, 17, 71, 21, 75)(18, 72, 22, 76, 28, 82)(24, 78, 35, 89, 31, 85)(25, 79, 32, 86, 26, 80)(27, 81, 33, 87, 29, 83)(30, 84, 40, 94, 34, 88)(36, 90, 43, 97, 47, 101)(37, 91, 44, 98, 38, 92)(39, 93, 41, 95, 45, 99)(42, 96, 46, 100, 52, 106)(48, 102, 53, 107, 51, 105)(49, 103, 54, 108, 50, 104)(109, 163, 111, 165, 119, 173, 132, 186, 144, 198, 156, 210, 153, 207, 141, 195, 129, 183, 121, 175, 128, 182, 140, 194, 152, 206, 162, 216, 150, 204, 138, 192, 126, 180, 114, 168)(110, 164, 115, 169, 127, 181, 139, 193, 151, 205, 159, 213, 147, 201, 135, 189, 123, 177, 112, 166, 122, 176, 133, 187, 146, 200, 157, 211, 154, 208, 142, 196, 130, 184, 117, 171)(113, 167, 118, 172, 131, 185, 143, 197, 155, 209, 161, 215, 149, 203, 137, 191, 125, 179, 116, 170, 120, 174, 134, 188, 145, 199, 158, 212, 160, 214, 148, 202, 136, 190, 124, 178)
	L = (1, 112)(2, 116)(3, 120)(4, 109)(5, 121)(6, 125)(7, 128)(8, 110)(9, 129)(10, 122)(11, 133)(12, 111)(13, 113)(14, 118)(15, 124)(16, 123)(17, 114)(18, 135)(19, 134)(20, 115)(21, 117)(22, 137)(23, 140)(24, 145)(25, 119)(26, 127)(27, 126)(28, 141)(29, 130)(30, 149)(31, 152)(32, 131)(33, 136)(34, 153)(35, 146)(36, 157)(37, 132)(38, 143)(39, 148)(40, 147)(41, 138)(42, 159)(43, 158)(44, 139)(45, 142)(46, 161)(47, 162)(48, 160)(49, 144)(50, 151)(51, 150)(52, 156)(53, 154)(54, 155)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 18, 4, 18, 4, 18 ), ( 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.1056
Graph:: bipartite
	v = 21 e = 108 f = 33
	degree seq :: [ 6^18, 36^3 ]

E28.1063 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^3, (Y1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y2 * Y1 * Y2^-1, R * Y2 * Y1^-1 * R * Y2, Y2 * Y1^-1 * Y3 * Y2^-1 * Y3, Y2 * Y1^-1 * Y2^3 * Y3 * Y2^5, Y1^-1 * Y2^-2 * Y1^-1 * Y2^-2 * Y1^-1 * Y2^-3 * Y3 * Y1^-1 * Y2^-2, (Y3 * Y2^-3 * Y1)^3 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 10, 64, 7, 61)(4, 58, 13, 67, 8, 62)(6, 60, 16, 70, 9, 63)(11, 65, 19, 73, 23, 77)(12, 66, 14, 68, 20, 74)(15, 69, 21, 75, 17, 71)(18, 72, 22, 76, 28, 82)(24, 78, 35, 89, 31, 85)(25, 79, 26, 80, 32, 86)(27, 81, 29, 83, 33, 87)(30, 84, 40, 94, 34, 88)(36, 90, 43, 97, 47, 101)(37, 91, 38, 92, 44, 98)(39, 93, 45, 99, 41, 95)(42, 96, 46, 100, 52, 106)(48, 102, 51, 105, 53, 107)(49, 103, 50, 104, 54, 108)(109, 163, 111, 165, 119, 173, 132, 186, 144, 198, 156, 210, 153, 207, 141, 195, 129, 183, 116, 170, 128, 182, 140, 194, 152, 206, 162, 216, 150, 204, 138, 192, 126, 180, 114, 168)(110, 164, 115, 169, 127, 181, 139, 193, 151, 205, 161, 215, 149, 203, 137, 191, 125, 179, 121, 175, 120, 174, 134, 188, 145, 199, 158, 212, 154, 208, 142, 196, 130, 184, 117, 171)(112, 166, 122, 176, 133, 187, 146, 200, 157, 211, 160, 214, 148, 202, 136, 190, 124, 178, 113, 167, 118, 172, 131, 185, 143, 197, 155, 209, 159, 213, 147, 201, 135, 189, 123, 177)
	L = (1, 112)(2, 116)(3, 120)(4, 109)(5, 121)(6, 125)(7, 122)(8, 110)(9, 123)(10, 128)(11, 133)(12, 111)(13, 113)(14, 115)(15, 117)(16, 129)(17, 114)(18, 135)(19, 140)(20, 118)(21, 124)(22, 141)(23, 134)(24, 145)(25, 119)(26, 131)(27, 126)(28, 137)(29, 136)(30, 149)(31, 146)(32, 127)(33, 130)(34, 147)(35, 152)(36, 157)(37, 132)(38, 139)(39, 142)(40, 153)(41, 138)(42, 159)(43, 162)(44, 143)(45, 148)(46, 156)(47, 158)(48, 154)(49, 144)(50, 155)(51, 150)(52, 161)(53, 160)(54, 151)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 18, 4, 18, 4, 18 ), ( 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.1053
Graph:: bipartite
	v = 21 e = 108 f = 33
	degree seq :: [ 6^18, 36^3 ]

E28.1064 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y3, Y2), (Y3 * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2^-3 * Y3, (R * Y1)^2, Y2 * Y1^-1 * Y3^-2 * Y2^-1 * Y1^-1, Y3^6, Y1 * Y2 * Y3 * Y2 * Y1 * Y2, Y3^-3 * Y1^-1 * Y3 * Y1^-1, Y1 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 15, 69)(4, 58, 17, 71, 19, 73)(6, 60, 23, 77, 24, 78)(7, 61, 26, 80, 9, 63)(8, 62, 28, 82, 31, 85)(10, 64, 34, 88, 35, 89)(11, 65, 37, 91, 21, 75)(13, 67, 29, 83, 44, 98)(14, 68, 30, 84, 46, 100)(16, 70, 32, 86, 40, 94)(18, 72, 33, 87, 49, 103)(20, 74, 50, 104, 45, 99)(22, 76, 51, 105, 43, 97)(25, 79, 36, 90, 39, 93)(27, 81, 38, 92, 41, 95)(42, 96, 53, 107, 48, 102)(47, 101, 52, 106, 54, 108)(109, 163, 111, 165, 121, 175, 112, 166, 122, 176, 151, 205, 126, 180, 153, 207, 162, 216, 145, 199, 161, 215, 142, 196, 135, 189, 136, 190, 133, 187, 115, 169, 124, 178, 114, 168)(110, 164, 116, 170, 137, 191, 117, 171, 138, 192, 132, 186, 141, 195, 123, 177, 155, 209, 127, 181, 156, 210, 159, 213, 146, 200, 158, 212, 144, 198, 119, 173, 140, 194, 118, 172)(113, 167, 128, 182, 152, 206, 129, 183, 154, 208, 143, 197, 157, 211, 139, 193, 160, 214, 134, 188, 150, 204, 131, 185, 149, 203, 120, 174, 147, 201, 125, 179, 148, 202, 130, 184)
	L = (1, 112)(2, 117)(3, 122)(4, 126)(5, 129)(6, 121)(7, 109)(8, 138)(9, 141)(10, 137)(11, 110)(12, 148)(13, 151)(14, 153)(15, 156)(16, 111)(17, 113)(18, 145)(19, 146)(20, 154)(21, 157)(22, 152)(23, 147)(24, 155)(25, 114)(26, 149)(27, 115)(28, 124)(29, 132)(30, 123)(31, 150)(32, 116)(33, 127)(34, 133)(35, 160)(36, 118)(37, 135)(38, 119)(39, 130)(40, 128)(41, 125)(42, 120)(43, 162)(44, 143)(45, 161)(46, 139)(47, 159)(48, 158)(49, 134)(50, 140)(51, 144)(52, 131)(53, 136)(54, 142)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 18, 4, 18, 4, 18 ), ( 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.1052
Graph:: bipartite
	v = 21 e = 108 f = 33
	degree seq :: [ 6^18, 36^3 ]

E28.1065 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y3 * Y1)^2, (Y3^-1 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, Y2^3 * Y3, (Y3, Y2^-1), (R * Y2)^2, (R * Y3)^2, (Y3 * Y1)^2, Y3 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y1^-1, Y3 * Y1^-1 * Y3^-3 * Y1^-1, Y2 * Y3^-1 * Y1 * Y3 * Y2^-1 * Y1^-1, Y2 * Y3 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y1^-1 * Y2^2 * Y3^-1 * Y1^-1, Y1 * Y3 * Y2^-1 * Y3 * Y1 * Y2, Y1 * Y3^-1 * Y1^-1 * Y3^2 * Y1^-1 * Y3, Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 15, 69)(4, 58, 17, 71, 19, 73)(6, 60, 24, 78, 25, 79)(7, 61, 26, 80, 9, 63)(8, 62, 28, 82, 31, 85)(10, 64, 35, 89, 36, 90)(11, 65, 37, 91, 22, 76)(13, 67, 29, 83, 43, 97)(14, 68, 30, 84, 45, 99)(16, 70, 32, 86, 40, 94)(18, 72, 33, 87, 47, 101)(20, 74, 34, 88, 50, 104)(21, 75, 51, 105, 44, 98)(23, 77, 52, 106, 48, 102)(27, 81, 38, 92, 41, 95)(39, 93, 53, 107, 49, 103)(42, 96, 54, 108, 46, 100)(109, 163, 111, 165, 121, 175, 115, 169, 124, 178, 143, 197, 135, 189, 136, 190, 161, 215, 145, 199, 162, 216, 156, 210, 126, 180, 152, 206, 128, 182, 112, 166, 122, 176, 114, 168)(110, 164, 116, 170, 137, 191, 119, 173, 140, 194, 160, 214, 146, 200, 159, 213, 157, 211, 127, 181, 154, 208, 133, 187, 141, 195, 123, 177, 142, 196, 117, 171, 138, 192, 118, 172)(113, 167, 129, 183, 151, 205, 125, 179, 148, 202, 132, 186, 149, 203, 120, 174, 147, 201, 134, 188, 150, 204, 144, 198, 155, 209, 139, 193, 158, 212, 130, 184, 153, 207, 131, 185)
	L = (1, 112)(2, 117)(3, 122)(4, 126)(5, 130)(6, 128)(7, 109)(8, 138)(9, 141)(10, 142)(11, 110)(12, 148)(13, 114)(14, 152)(15, 154)(16, 111)(17, 113)(18, 145)(19, 146)(20, 156)(21, 153)(22, 155)(23, 158)(24, 151)(25, 157)(26, 149)(27, 115)(28, 124)(29, 118)(30, 123)(31, 150)(32, 116)(33, 127)(34, 133)(35, 121)(36, 147)(37, 135)(38, 119)(39, 132)(40, 129)(41, 125)(42, 120)(43, 131)(44, 162)(45, 139)(46, 159)(47, 134)(48, 161)(49, 160)(50, 144)(51, 140)(52, 137)(53, 143)(54, 136)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 18, 4, 18, 4, 18 ), ( 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.1051
Graph:: bipartite
	v = 21 e = 108 f = 33
	degree seq :: [ 6^18, 36^3 ]

E28.1066 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1 * Y3^-2, (Y2^-1, Y1), (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^2 * Y3 * Y2^-2 * Y3^-1, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, (Y2^-1 * R * Y2^-1)^2, Y2^-6 * Y1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 8, 62, 13, 67)(4, 58, 9, 63, 7, 61)(6, 60, 10, 64, 17, 71)(11, 65, 23, 77, 31, 85)(12, 66, 24, 78, 14, 68)(15, 69, 25, 79, 21, 75)(16, 70, 26, 80, 22, 76)(18, 72, 27, 81, 20, 74)(19, 73, 28, 82, 40, 94)(29, 83, 45, 99, 41, 95)(30, 84, 46, 100, 32, 86)(33, 87, 44, 98, 35, 89)(34, 88, 47, 101, 36, 90)(37, 91, 43, 97, 38, 92)(39, 93, 48, 102, 42, 96)(49, 103, 54, 108, 50, 104)(51, 105, 53, 107, 52, 106)(109, 163, 111, 165, 119, 173, 137, 191, 136, 190, 118, 172, 110, 164, 116, 170, 131, 185, 153, 207, 148, 202, 125, 179, 113, 167, 121, 175, 139, 193, 149, 203, 127, 181, 114, 168)(112, 166, 123, 177, 138, 192, 159, 213, 156, 210, 134, 188, 117, 171, 133, 187, 154, 208, 161, 215, 150, 204, 130, 184, 115, 169, 129, 183, 140, 194, 160, 214, 147, 201, 124, 178)(120, 174, 141, 195, 157, 211, 145, 199, 135, 189, 155, 209, 132, 186, 152, 206, 162, 216, 151, 205, 128, 182, 144, 198, 122, 176, 143, 197, 158, 212, 146, 200, 126, 180, 142, 196)
	L = (1, 112)(2, 117)(3, 120)(4, 110)(5, 115)(6, 126)(7, 109)(8, 132)(9, 113)(10, 135)(11, 138)(12, 116)(13, 122)(14, 111)(15, 145)(16, 141)(17, 128)(18, 118)(19, 147)(20, 114)(21, 146)(22, 143)(23, 154)(24, 121)(25, 151)(26, 152)(27, 125)(28, 156)(29, 157)(30, 131)(31, 140)(32, 119)(33, 134)(34, 159)(35, 124)(36, 160)(37, 133)(38, 123)(39, 136)(40, 150)(41, 158)(42, 127)(43, 129)(44, 130)(45, 162)(46, 139)(47, 161)(48, 148)(49, 153)(50, 137)(51, 155)(52, 142)(53, 144)(54, 149)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 18, 4, 18, 4, 18 ), ( 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.1059
Graph:: bipartite
	v = 21 e = 108 f = 33
	degree seq :: [ 6^18, 36^3 ]

E28.1067 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y2^3 * Y1^-1, Y1 * Y2^-1 * Y3^-1 * Y2^-2, Y1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y2 * Y3 * Y1^-1 * Y2^-1 * Y3, Y2^-1 * Y1^-1 * Y2 * Y3^-2 * Y1^-1, (Y1^-1 * R * Y2^-1)^2, Y1 * Y2^2 * Y3^-1 * Y1^-1 * Y2, Y3^-2 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y3^2 * Y2 * Y3^-2 * Y2^-1, Y3 * Y1^-1 * Y3^3 * Y1^-1, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 15, 69)(4, 58, 17, 71, 20, 74)(6, 60, 25, 79, 27, 81)(7, 61, 30, 84, 9, 63)(8, 62, 34, 88, 37, 91)(10, 64, 42, 96, 44, 98)(11, 65, 45, 99, 23, 77)(13, 67, 35, 89, 29, 83)(14, 68, 36, 90, 31, 85)(16, 70, 38, 92, 47, 101)(18, 72, 39, 93, 28, 82)(19, 73, 40, 94, 51, 105)(21, 75, 41, 95, 53, 107)(22, 76, 54, 108, 50, 104)(24, 78, 49, 103, 52, 106)(26, 80, 43, 97, 32, 86)(33, 87, 46, 100, 48, 102)(109, 163, 111, 165, 121, 175, 138, 192, 146, 200, 160, 214, 127, 181, 158, 212, 151, 205, 125, 179, 144, 198, 150, 204, 141, 195, 142, 196, 161, 215, 131, 185, 136, 190, 114, 168)(110, 164, 116, 170, 143, 197, 153, 207, 155, 209, 135, 189, 148, 202, 123, 177, 140, 194, 115, 169, 139, 193, 157, 211, 154, 208, 162, 216, 129, 183, 112, 166, 126, 180, 118, 172)(113, 167, 130, 184, 137, 191, 128, 182, 124, 178, 152, 206, 159, 213, 145, 199, 134, 188, 119, 173, 122, 176, 133, 187, 156, 210, 120, 174, 149, 203, 117, 171, 147, 201, 132, 186)
	L = (1, 112)(2, 117)(3, 122)(4, 127)(5, 131)(6, 134)(7, 109)(8, 144)(9, 148)(10, 151)(11, 110)(12, 155)(13, 118)(14, 158)(15, 136)(16, 111)(17, 113)(18, 120)(19, 153)(20, 154)(21, 133)(22, 139)(23, 159)(24, 140)(25, 143)(26, 160)(27, 161)(28, 162)(29, 114)(30, 156)(31, 145)(32, 152)(33, 115)(34, 124)(35, 132)(36, 123)(37, 126)(38, 116)(39, 142)(40, 128)(41, 150)(42, 137)(43, 135)(44, 129)(45, 141)(46, 119)(47, 130)(48, 125)(49, 121)(50, 147)(51, 138)(52, 149)(53, 157)(54, 146)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 18, 4, 18, 4, 18 ), ( 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.1060
Graph:: bipartite
	v = 21 e = 108 f = 33
	degree seq :: [ 6^18, 36^3 ]

E28.1068 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1, Y2^-2 * Y3^-1 * Y2^-1 * Y1, Y1 * Y2^-1 * Y3^-1 * Y2 * Y3^-1, Y1^-1 * Y2^3 * Y3, Y3^-1 * Y2^2 * Y1 * Y2 * Y1^-1, Y3^2 * Y1 * Y2 * Y1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1^-1 * Y2 * Y3^-2 * Y1^-1, Y3^3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 15, 69)(4, 58, 17, 71, 20, 74)(6, 60, 25, 79, 27, 81)(7, 61, 30, 84, 9, 63)(8, 62, 34, 88, 37, 91)(10, 64, 41, 95, 43, 97)(11, 65, 44, 98, 23, 77)(13, 67, 35, 89, 32, 86)(14, 68, 36, 90, 28, 82)(16, 70, 18, 72, 38, 92)(19, 73, 39, 93, 52, 106)(21, 75, 40, 94, 29, 83)(22, 76, 51, 105, 48, 102)(24, 78, 49, 103, 53, 107)(26, 80, 42, 96, 54, 108)(31, 85, 45, 99, 50, 104)(33, 87, 46, 100, 47, 101)(109, 163, 111, 165, 121, 175, 119, 173, 153, 207, 161, 215, 127, 181, 156, 210, 148, 202, 117, 171, 146, 200, 149, 203, 141, 195, 142, 196, 162, 216, 128, 182, 136, 190, 114, 168)(110, 164, 116, 170, 143, 197, 125, 179, 158, 212, 135, 189, 147, 201, 123, 177, 137, 191, 131, 185, 124, 178, 157, 211, 154, 208, 159, 213, 134, 188, 138, 192, 122, 176, 118, 172)(112, 166, 126, 180, 133, 187, 155, 209, 120, 174, 150, 204, 152, 206, 144, 198, 132, 186, 113, 167, 130, 184, 140, 194, 115, 169, 139, 193, 151, 205, 160, 214, 145, 199, 129, 183)
	L = (1, 112)(2, 117)(3, 122)(4, 127)(5, 131)(6, 134)(7, 109)(8, 144)(9, 147)(10, 150)(11, 110)(12, 146)(13, 133)(14, 156)(15, 139)(16, 111)(17, 113)(18, 116)(19, 152)(20, 154)(21, 118)(22, 136)(23, 160)(24, 162)(25, 148)(26, 161)(27, 140)(28, 145)(29, 114)(30, 155)(31, 159)(32, 157)(33, 115)(34, 124)(35, 149)(36, 123)(37, 153)(38, 130)(39, 128)(40, 132)(41, 137)(42, 135)(43, 121)(44, 141)(45, 120)(46, 119)(47, 125)(48, 158)(49, 129)(50, 142)(51, 126)(52, 138)(53, 143)(54, 151)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 18, 4, 18, 4, 18 ), ( 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.1055
Graph:: bipartite
	v = 21 e = 108 f = 33
	degree seq :: [ 6^18, 36^3 ]

E28.1069 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1 * Y3^-1, Y1^3, (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1), (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y2^-2 * Y3^-1 * Y2^2 * Y3, Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y2^-6 * Y1^-1, Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 8, 62, 13, 67)(4, 58, 9, 63, 7, 61)(6, 60, 10, 64, 17, 71)(11, 65, 23, 77, 31, 85)(12, 66, 24, 78, 14, 68)(15, 69, 25, 79, 21, 75)(16, 70, 26, 80, 22, 76)(18, 72, 27, 81, 20, 74)(19, 73, 28, 82, 41, 95)(29, 83, 42, 96, 48, 102)(30, 84, 45, 99, 32, 86)(33, 87, 39, 93, 35, 89)(34, 88, 46, 100, 36, 90)(37, 91, 44, 98, 38, 92)(40, 94, 47, 101, 43, 97)(49, 103, 54, 108, 50, 104)(51, 105, 53, 107, 52, 106)(109, 163, 111, 165, 119, 173, 137, 191, 149, 203, 125, 179, 113, 167, 121, 175, 139, 193, 156, 210, 136, 190, 118, 172, 110, 164, 116, 170, 131, 185, 150, 204, 127, 181, 114, 168)(112, 166, 123, 177, 138, 192, 159, 213, 151, 205, 130, 184, 115, 169, 129, 183, 140, 194, 160, 214, 155, 209, 134, 188, 117, 171, 133, 187, 153, 207, 161, 215, 148, 202, 124, 178)(120, 174, 141, 195, 157, 211, 146, 200, 128, 182, 144, 198, 122, 176, 143, 197, 158, 212, 152, 206, 135, 189, 154, 208, 132, 186, 147, 201, 162, 216, 145, 199, 126, 180, 142, 196)
	L = (1, 112)(2, 117)(3, 120)(4, 110)(5, 115)(6, 126)(7, 109)(8, 132)(9, 113)(10, 135)(11, 138)(12, 116)(13, 122)(14, 111)(15, 145)(16, 147)(17, 128)(18, 118)(19, 148)(20, 114)(21, 146)(22, 141)(23, 153)(24, 121)(25, 152)(26, 143)(27, 125)(28, 155)(29, 157)(30, 131)(31, 140)(32, 119)(33, 124)(34, 161)(35, 130)(36, 159)(37, 133)(38, 123)(39, 134)(40, 136)(41, 151)(42, 162)(43, 127)(44, 129)(45, 139)(46, 160)(47, 149)(48, 158)(49, 150)(50, 137)(51, 142)(52, 144)(53, 154)(54, 156)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 18, 4, 18, 4, 18 ), ( 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.1058
Graph:: bipartite
	v = 21 e = 108 f = 33
	degree seq :: [ 6^18, 36^3 ]

E28.1070 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y1^-1 * Y3^-1)^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y3^-1 * Y2^2 * Y1, Y1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y2^3 * Y3^-1 * Y1, Y2 * Y1 * Y3^-1 * Y2^-1 * Y3^-1, Y3 * Y1^-1 * Y3^3 * Y1^-1, Y1 * Y3^-2 * Y1^-1 * Y3^2, (Y1^-1 * R * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y3^-2 * Y2^-1 * Y3, Y3^6, Y1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 15, 69)(4, 58, 17, 71, 20, 74)(6, 60, 25, 79, 27, 81)(7, 61, 30, 84, 9, 63)(8, 62, 34, 88, 36, 90)(10, 64, 40, 94, 42, 96)(11, 65, 45, 99, 23, 77)(13, 67, 21, 75, 39, 93)(14, 68, 35, 89, 31, 85)(16, 70, 28, 82, 43, 97)(18, 72, 37, 91, 51, 105)(19, 73, 38, 92, 52, 106)(22, 76, 54, 108, 49, 103)(24, 78, 48, 102, 53, 107)(26, 80, 41, 95, 32, 86)(29, 83, 44, 98, 50, 104)(33, 87, 46, 100, 47, 101)(109, 163, 111, 165, 121, 175, 131, 185, 159, 213, 148, 202, 141, 195, 142, 196, 149, 203, 125, 179, 143, 197, 161, 215, 127, 181, 157, 211, 152, 206, 138, 192, 136, 190, 114, 168)(110, 164, 116, 170, 129, 183, 112, 166, 126, 180, 156, 210, 154, 208, 162, 216, 140, 194, 115, 169, 139, 193, 135, 189, 146, 200, 123, 177, 158, 212, 153, 207, 151, 205, 118, 172)(113, 167, 130, 184, 147, 201, 117, 171, 145, 199, 133, 187, 155, 209, 120, 174, 134, 188, 119, 173, 122, 176, 150, 204, 160, 214, 144, 198, 137, 191, 128, 182, 124, 178, 132, 186)
	L = (1, 112)(2, 117)(3, 122)(4, 127)(5, 131)(6, 134)(7, 109)(8, 143)(9, 146)(10, 149)(11, 110)(12, 151)(13, 156)(14, 157)(15, 159)(16, 111)(17, 113)(18, 120)(19, 153)(20, 154)(21, 133)(22, 139)(23, 160)(24, 140)(25, 158)(26, 161)(27, 121)(28, 116)(29, 114)(30, 155)(31, 144)(32, 150)(33, 115)(34, 124)(35, 123)(36, 126)(37, 142)(38, 128)(39, 148)(40, 137)(41, 135)(42, 129)(43, 130)(44, 118)(45, 141)(46, 119)(47, 125)(48, 152)(49, 145)(50, 132)(51, 162)(52, 138)(53, 147)(54, 136)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 18, 4, 18, 4, 18 ), ( 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.1057
Graph:: bipartite
	v = 21 e = 108 f = 33
	degree seq :: [ 6^18, 36^3 ]

E28.1071 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3 * Y2^-2 * Y1^-1, Y1 * Y2^-1 * Y3^-1 * Y2 * Y3^-1, Y2^2 * Y1 * Y3^-1 * Y2, Y1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1, Y1 * Y3^-2 * Y1^-1 * Y3^2, Y3^6, (R * Y2 * Y3^-1)^2, Y3^2 * Y1 * Y2 * Y1 * Y2^-1, Y2 * Y3^-2 * Y1^-1 * Y2^-1 * Y1^-1, Y3^3 * Y1^-1 * Y3 * Y1^-1, Y1 * Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 12, 66, 15, 69)(4, 58, 17, 71, 20, 74)(6, 60, 25, 79, 27, 81)(7, 61, 30, 84, 9, 63)(8, 62, 34, 88, 36, 90)(10, 64, 40, 94, 42, 96)(11, 65, 44, 98, 23, 77)(13, 67, 26, 80, 41, 95)(14, 68, 35, 89, 50, 104)(16, 70, 18, 72, 37, 91)(19, 73, 38, 92, 53, 107)(21, 75, 39, 93, 29, 83)(22, 76, 52, 106, 49, 103)(24, 78, 48, 102, 54, 108)(28, 82, 43, 97, 31, 85)(32, 86, 45, 99, 51, 105)(33, 87, 46, 100, 47, 101)(109, 163, 111, 165, 121, 175, 128, 182, 158, 212, 148, 202, 141, 195, 142, 196, 147, 201, 117, 171, 145, 199, 162, 216, 127, 181, 157, 211, 153, 207, 119, 173, 136, 190, 114, 168)(110, 164, 116, 170, 134, 188, 138, 192, 122, 176, 156, 210, 154, 208, 160, 214, 137, 191, 131, 185, 124, 178, 135, 189, 146, 200, 123, 177, 159, 213, 125, 179, 151, 205, 118, 172)(112, 166, 126, 180, 150, 204, 161, 215, 144, 198, 140, 194, 115, 169, 139, 193, 132, 186, 113, 167, 130, 184, 149, 203, 152, 206, 143, 197, 133, 187, 155, 209, 120, 174, 129, 183)
	L = (1, 112)(2, 117)(3, 122)(4, 127)(5, 131)(6, 134)(7, 109)(8, 143)(9, 146)(10, 149)(11, 110)(12, 145)(13, 150)(14, 157)(15, 139)(16, 111)(17, 113)(18, 116)(19, 152)(20, 154)(21, 118)(22, 158)(23, 161)(24, 121)(25, 147)(26, 162)(27, 140)(28, 120)(29, 114)(30, 155)(31, 160)(32, 156)(33, 115)(34, 124)(35, 123)(36, 136)(37, 130)(38, 128)(39, 132)(40, 137)(41, 135)(42, 153)(43, 142)(44, 141)(45, 133)(46, 119)(47, 125)(48, 129)(49, 151)(50, 144)(51, 148)(52, 126)(53, 138)(54, 159)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 18, 4, 18, 4, 18 ), ( 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.1054
Graph:: bipartite
	v = 21 e = 108 f = 33
	degree seq :: [ 6^18, 36^3 ]

E28.1072 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C18 x C3 (small group id <54, 9>)
Aut   = C2 x ((C9 x C3) : C2) (small group id <108, 27>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y1 * Y3^-1 * Y1, Y2^-1 * Y1 * Y2 * Y1, Y3^9 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 7, 61)(4, 58, 8, 62)(5, 59, 9, 63)(6, 60, 10, 64)(11, 65, 17, 71)(12, 66, 18, 72)(13, 67, 19, 73)(14, 68, 20, 74)(15, 69, 21, 75)(16, 70, 22, 76)(23, 77, 29, 83)(24, 78, 30, 84)(25, 79, 31, 85)(26, 80, 32, 86)(27, 81, 33, 87)(28, 82, 34, 88)(35, 89, 41, 95)(36, 90, 42, 96)(37, 91, 43, 97)(38, 92, 44, 98)(39, 93, 45, 99)(40, 94, 46, 100)(47, 101, 51, 105)(48, 102, 52, 106)(49, 103, 53, 107)(50, 104, 54, 108)(109, 163, 111, 165, 113, 167)(110, 164, 115, 169, 117, 171)(112, 166, 119, 173, 122, 176)(114, 168, 120, 174, 123, 177)(116, 170, 125, 179, 128, 182)(118, 172, 126, 180, 129, 183)(121, 175, 131, 185, 134, 188)(124, 178, 132, 186, 135, 189)(127, 181, 137, 191, 140, 194)(130, 184, 138, 192, 141, 195)(133, 187, 143, 197, 146, 200)(136, 190, 144, 198, 147, 201)(139, 193, 149, 203, 152, 206)(142, 196, 150, 204, 153, 207)(145, 199, 155, 209, 157, 211)(148, 202, 156, 210, 158, 212)(151, 205, 159, 213, 161, 215)(154, 208, 160, 214, 162, 216)
	L = (1, 112)(2, 116)(3, 119)(4, 121)(5, 122)(6, 109)(7, 125)(8, 127)(9, 128)(10, 110)(11, 131)(12, 111)(13, 133)(14, 134)(15, 113)(16, 114)(17, 137)(18, 115)(19, 139)(20, 140)(21, 117)(22, 118)(23, 143)(24, 120)(25, 145)(26, 146)(27, 123)(28, 124)(29, 149)(30, 126)(31, 151)(32, 152)(33, 129)(34, 130)(35, 155)(36, 132)(37, 148)(38, 157)(39, 135)(40, 136)(41, 159)(42, 138)(43, 154)(44, 161)(45, 141)(46, 142)(47, 156)(48, 144)(49, 158)(50, 147)(51, 160)(52, 150)(53, 162)(54, 153)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 18, 36, 18, 36 ), ( 18, 36, 18, 36, 18, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.1075
Graph:: simple bipartite
	v = 45 e = 108 f = 9
	degree seq :: [ 4^27, 6^18 ]

E28.1073 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C18 x C3 (small group id <54, 9>)
Aut   = C2 x ((C9 x C3) : C2) (small group id <108, 27>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1 * Y3^-2, (Y2, Y3), (R * Y3)^2, (Y2, Y1^-1), (R * Y1)^2, (R * Y2)^2, (Y3^-1 * Y1^-1)^2, Y2^9 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 8, 62, 13, 67)(4, 58, 9, 63, 7, 61)(6, 60, 10, 64, 16, 70)(11, 65, 19, 73, 25, 79)(12, 66, 20, 74, 14, 68)(15, 69, 21, 75, 18, 72)(17, 71, 22, 76, 28, 82)(23, 77, 31, 85, 37, 91)(24, 78, 32, 86, 26, 80)(27, 81, 33, 87, 30, 84)(29, 83, 34, 88, 40, 94)(35, 89, 43, 97, 48, 102)(36, 90, 44, 98, 38, 92)(39, 93, 45, 99, 42, 96)(41, 95, 46, 100, 51, 105)(47, 101, 53, 107, 49, 103)(50, 104, 54, 108, 52, 106)(109, 163, 111, 165, 119, 173, 131, 185, 143, 197, 149, 203, 137, 191, 125, 179, 114, 168)(110, 164, 116, 170, 127, 181, 139, 193, 151, 205, 154, 208, 142, 196, 130, 184, 118, 172)(112, 166, 120, 174, 132, 186, 144, 198, 155, 209, 158, 212, 147, 201, 135, 189, 123, 177)(113, 167, 121, 175, 133, 187, 145, 199, 156, 210, 159, 213, 148, 202, 136, 190, 124, 178)(115, 169, 122, 176, 134, 188, 146, 200, 157, 211, 160, 214, 150, 204, 138, 192, 126, 180)(117, 171, 128, 182, 140, 194, 152, 206, 161, 215, 162, 216, 153, 207, 141, 195, 129, 183)
	L = (1, 112)(2, 117)(3, 120)(4, 110)(5, 115)(6, 123)(7, 109)(8, 128)(9, 113)(10, 129)(11, 132)(12, 116)(13, 122)(14, 111)(15, 118)(16, 126)(17, 135)(18, 114)(19, 140)(20, 121)(21, 124)(22, 141)(23, 144)(24, 127)(25, 134)(26, 119)(27, 130)(28, 138)(29, 147)(30, 125)(31, 152)(32, 133)(33, 136)(34, 153)(35, 155)(36, 139)(37, 146)(38, 131)(39, 142)(40, 150)(41, 158)(42, 137)(43, 161)(44, 145)(45, 148)(46, 162)(47, 151)(48, 157)(49, 143)(50, 154)(51, 160)(52, 149)(53, 156)(54, 159)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 36, 4, 36, 4, 36 ), ( 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.1074
Graph:: simple bipartite
	v = 24 e = 108 f = 30
	degree seq :: [ 6^18, 18^6 ]

E28.1074 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C18 x C3 (small group id <54, 9>)
Aut   = C2 x ((C9 x C3) : C2) (small group id <108, 27>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^-3 * Y2, (R * Y3)^2, Y2 * Y1 * Y2 * Y1^-1, (R * Y1)^2, (Y1, Y3^-1), (R * Y2)^2, Y3 * Y1^-1 * Y2 * Y3^-1 * Y1 * Y2, Y2 * Y1^-9, (Y1^-1 * Y3^-1)^9 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 7, 61, 17, 71, 29, 83, 41, 95, 36, 90, 24, 78, 12, 66, 3, 57, 8, 62, 18, 72, 30, 84, 42, 96, 39, 93, 27, 81, 15, 69, 5, 59)(4, 58, 9, 63, 19, 73, 31, 85, 43, 97, 51, 105, 47, 101, 35, 89, 23, 77, 11, 65, 21, 75, 33, 87, 45, 99, 53, 107, 49, 103, 38, 92, 26, 80, 14, 68)(6, 60, 10, 64, 20, 74, 32, 86, 44, 98, 52, 106, 48, 102, 37, 91, 25, 79, 13, 67, 22, 76, 34, 88, 46, 100, 54, 108, 50, 104, 40, 94, 28, 82, 16, 70)(109, 163, 111, 165)(110, 164, 116, 170)(112, 166, 119, 173)(113, 167, 120, 174)(114, 168, 121, 175)(115, 169, 126, 180)(117, 171, 129, 183)(118, 172, 130, 184)(122, 176, 131, 185)(123, 177, 132, 186)(124, 178, 133, 187)(125, 179, 138, 192)(127, 181, 141, 195)(128, 182, 142, 196)(134, 188, 143, 197)(135, 189, 144, 198)(136, 190, 145, 199)(137, 191, 150, 204)(139, 193, 153, 207)(140, 194, 154, 208)(146, 200, 155, 209)(147, 201, 149, 203)(148, 202, 156, 210)(151, 205, 161, 215)(152, 206, 162, 216)(157, 211, 159, 213)(158, 212, 160, 214)
	L = (1, 112)(2, 117)(3, 119)(4, 121)(5, 122)(6, 109)(7, 127)(8, 129)(9, 130)(10, 110)(11, 114)(12, 131)(13, 111)(14, 133)(15, 134)(16, 113)(17, 139)(18, 141)(19, 142)(20, 115)(21, 118)(22, 116)(23, 124)(24, 143)(25, 120)(26, 145)(27, 146)(28, 123)(29, 151)(30, 153)(31, 154)(32, 125)(33, 128)(34, 126)(35, 136)(36, 155)(37, 132)(38, 156)(39, 157)(40, 135)(41, 159)(42, 161)(43, 162)(44, 137)(45, 140)(46, 138)(47, 148)(48, 144)(49, 160)(50, 147)(51, 158)(52, 149)(53, 152)(54, 150)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 18, 6, 18 ), ( 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.1073
Graph:: bipartite
	v = 30 e = 108 f = 24
	degree seq :: [ 4^27, 36^3 ]

E28.1075 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C18 x C3 (small group id <54, 9>)
Aut   = C2 x ((C9 x C3) : C2) (small group id <108, 27>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y2^2, (Y2^-1 * Y3)^2, (Y3, Y2^-1), (Y1, Y2), Y3^-2 * Y2^2, (R * Y2)^2, (R * Y1)^2, (Y3, Y1^-1), (R * Y3)^2, Y1^3 * Y2^2 * Y3, Y2^-1 * Y3 * Y1 * Y3 * Y2^-1 * Y1^-1, Y1^3 * Y2^-1 * Y1^3 * Y3^-1 * Y2^-1, Y1^9 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 8, 62, 23, 77, 41, 95, 52, 106, 34, 88, 18, 72, 5, 59)(3, 57, 9, 63, 24, 78, 22, 76, 32, 86, 46, 100, 50, 104, 37, 91, 15, 69)(4, 58, 10, 64, 25, 79, 21, 75, 31, 85, 45, 99, 49, 103, 39, 93, 17, 71)(6, 60, 11, 65, 26, 80, 42, 96, 54, 108, 36, 90, 14, 68, 29, 83, 19, 73)(7, 61, 12, 66, 27, 81, 43, 97, 53, 107, 35, 89, 13, 67, 28, 82, 20, 74)(16, 70, 30, 84, 44, 98, 40, 94, 48, 102, 51, 105, 33, 87, 47, 101, 38, 92)(109, 163, 111, 165, 121, 175, 141, 195, 157, 211, 150, 204, 131, 185, 130, 184, 115, 169, 124, 178, 112, 166, 122, 176, 142, 196, 158, 212, 151, 205, 148, 202, 129, 183, 114, 168)(110, 164, 117, 171, 136, 190, 155, 209, 147, 201, 162, 216, 149, 203, 140, 194, 120, 174, 138, 192, 118, 172, 137, 191, 126, 180, 145, 199, 161, 215, 156, 210, 139, 193, 119, 173)(113, 167, 123, 177, 143, 197, 159, 213, 153, 207, 134, 188, 116, 170, 132, 186, 128, 182, 146, 200, 125, 179, 144, 198, 160, 214, 154, 208, 135, 189, 152, 206, 133, 187, 127, 181)
	L = (1, 112)(2, 118)(3, 122)(4, 121)(5, 125)(6, 124)(7, 109)(8, 133)(9, 137)(10, 136)(11, 138)(12, 110)(13, 142)(14, 141)(15, 144)(16, 111)(17, 143)(18, 147)(19, 146)(20, 113)(21, 115)(22, 114)(23, 129)(24, 127)(25, 128)(26, 152)(27, 116)(28, 126)(29, 155)(30, 117)(31, 120)(32, 119)(33, 158)(34, 157)(35, 160)(36, 159)(37, 162)(38, 123)(39, 161)(40, 130)(41, 139)(42, 148)(43, 131)(44, 132)(45, 135)(46, 134)(47, 145)(48, 140)(49, 151)(50, 150)(51, 154)(52, 153)(53, 149)(54, 156)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.1072
Graph:: bipartite
	v = 9 e = 108 f = 45
	degree seq :: [ 18^6, 36^3 ]

E28.1076 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C18 x C3 (small group id <54, 9>)
Aut   = C2 x ((C9 x C3) : C2) (small group id <108, 27>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3 * Y1 * Y3^-1 * Y1, Y2 * Y1 * Y2^-1 * Y1, Y3^3 * Y2^-3, Y2^9, Y3^18 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 7, 61)(4, 58, 8, 62)(5, 59, 9, 63)(6, 60, 10, 64)(11, 65, 19, 73)(12, 66, 20, 74)(13, 67, 21, 75)(14, 68, 22, 76)(15, 69, 23, 77)(16, 70, 24, 78)(17, 71, 25, 79)(18, 72, 26, 80)(27, 81, 35, 89)(28, 82, 36, 90)(29, 83, 37, 91)(30, 84, 38, 92)(31, 85, 39, 93)(32, 86, 40, 94)(33, 87, 41, 95)(34, 88, 42, 96)(43, 97, 49, 103)(44, 98, 50, 104)(45, 99, 51, 105)(46, 100, 52, 106)(47, 101, 53, 107)(48, 102, 54, 108)(109, 163, 111, 165, 119, 173, 135, 189, 151, 205, 154, 208, 140, 194, 124, 178, 113, 167)(110, 164, 115, 169, 127, 181, 143, 197, 157, 211, 160, 214, 148, 202, 132, 186, 117, 171)(112, 166, 120, 174, 136, 190, 152, 206, 156, 210, 142, 196, 126, 180, 139, 193, 123, 177)(114, 168, 121, 175, 137, 191, 122, 176, 138, 192, 153, 207, 155, 209, 141, 195, 125, 179)(116, 170, 128, 182, 144, 198, 158, 212, 162, 216, 150, 204, 134, 188, 147, 201, 131, 185)(118, 172, 129, 183, 145, 199, 130, 184, 146, 200, 159, 213, 161, 215, 149, 203, 133, 187)
	L = (1, 112)(2, 116)(3, 120)(4, 122)(5, 123)(6, 109)(7, 128)(8, 130)(9, 131)(10, 110)(11, 136)(12, 138)(13, 111)(14, 135)(15, 137)(16, 139)(17, 113)(18, 114)(19, 144)(20, 146)(21, 115)(22, 143)(23, 145)(24, 147)(25, 117)(26, 118)(27, 152)(28, 153)(29, 119)(30, 151)(31, 121)(32, 126)(33, 124)(34, 125)(35, 158)(36, 159)(37, 127)(38, 157)(39, 129)(40, 134)(41, 132)(42, 133)(43, 156)(44, 155)(45, 154)(46, 142)(47, 140)(48, 141)(49, 162)(50, 161)(51, 160)(52, 150)(53, 148)(54, 149)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6, 36, 6, 36 ), ( 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.1077
Graph:: simple bipartite
	v = 33 e = 108 f = 21
	degree seq :: [ 4^27, 18^6 ]

E28.1077 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 18})
Quotient :: dipole
Aut^+ = C18 x C3 (small group id <54, 9>)
Aut   = C2 x ((C9 x C3) : C2) (small group id <108, 27>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1 * Y3^-2, (Y3^-1 * Y1^-1)^2, (Y2, Y3), (R * Y3)^2, (Y1^-1, Y2^-1), (R * Y1)^2, (R * Y2)^2, (Y3^-1 * Y1^-1)^2, Y2^4 * Y1 * Y3 * Y2^5, (Y2^-1 * Y3)^9 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 5, 59)(3, 57, 8, 62, 13, 67)(4, 58, 9, 63, 7, 61)(6, 60, 10, 64, 16, 70)(11, 65, 19, 73, 25, 79)(12, 66, 20, 74, 14, 68)(15, 69, 21, 75, 18, 72)(17, 71, 22, 76, 28, 82)(23, 77, 31, 85, 37, 91)(24, 78, 32, 86, 26, 80)(27, 81, 33, 87, 30, 84)(29, 83, 34, 88, 40, 94)(35, 89, 43, 97, 49, 103)(36, 90, 44, 98, 38, 92)(39, 93, 45, 99, 42, 96)(41, 95, 46, 100, 52, 106)(47, 101, 54, 108, 51, 105)(48, 102, 53, 107, 50, 104)(109, 163, 111, 165, 119, 173, 131, 185, 143, 197, 155, 209, 153, 207, 141, 195, 129, 183, 117, 171, 128, 182, 140, 194, 152, 206, 161, 215, 149, 203, 137, 191, 125, 179, 114, 168)(110, 164, 116, 170, 127, 181, 139, 193, 151, 205, 162, 216, 150, 204, 138, 192, 126, 180, 115, 169, 122, 176, 134, 188, 146, 200, 158, 212, 154, 208, 142, 196, 130, 184, 118, 172)(112, 166, 120, 174, 132, 186, 144, 198, 156, 210, 160, 214, 148, 202, 136, 190, 124, 178, 113, 167, 121, 175, 133, 187, 145, 199, 157, 211, 159, 213, 147, 201, 135, 189, 123, 177)
	L = (1, 112)(2, 117)(3, 120)(4, 110)(5, 115)(6, 123)(7, 109)(8, 128)(9, 113)(10, 129)(11, 132)(12, 116)(13, 122)(14, 111)(15, 118)(16, 126)(17, 135)(18, 114)(19, 140)(20, 121)(21, 124)(22, 141)(23, 144)(24, 127)(25, 134)(26, 119)(27, 130)(28, 138)(29, 147)(30, 125)(31, 152)(32, 133)(33, 136)(34, 153)(35, 156)(36, 139)(37, 146)(38, 131)(39, 142)(40, 150)(41, 159)(42, 137)(43, 161)(44, 145)(45, 148)(46, 155)(47, 160)(48, 151)(49, 158)(50, 143)(51, 154)(52, 162)(53, 157)(54, 149)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 18, 4, 18, 4, 18 ), ( 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.1076
Graph:: bipartite
	v = 21 e = 108 f = 33
	degree seq :: [ 6^18, 36^3 ]

E28.1078 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 28})
Quotient :: dipole
Aut^+ = C7 : Q8 (small group id <56, 3>)
Aut   = (C28 x C2) : C2 (small group id <112, 30>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y1 * Y2, (R * Y3)^2, Y3 * Y1 * Y3^-1 * Y1, (R * Y1)^2, Y2 * Y3^-1 * Y2^-1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y3^6 * Y2 * Y3^6 * Y2^-1, Y3^14 * Y1 ]
Map:: non-degenerate
	R = (1, 57, 2, 58)(3, 59, 5, 61)(4, 60, 7, 63)(6, 62, 8, 64)(9, 65, 13, 69)(10, 66, 12, 68)(11, 67, 15, 71)(14, 70, 16, 72)(17, 73, 21, 77)(18, 74, 20, 76)(19, 75, 23, 79)(22, 78, 24, 80)(25, 81, 29, 85)(26, 82, 28, 84)(27, 83, 31, 87)(30, 86, 32, 88)(33, 89, 37, 93)(34, 90, 36, 92)(35, 91, 39, 95)(38, 94, 40, 96)(41, 97, 45, 101)(42, 98, 44, 100)(43, 99, 47, 103)(46, 102, 48, 104)(49, 105, 53, 109)(50, 106, 52, 108)(51, 107, 54, 110)(55, 111, 56, 112)(113, 169, 115, 171, 114, 170, 117, 173)(116, 172, 122, 178, 119, 175, 124, 180)(118, 174, 121, 177, 120, 176, 125, 181)(123, 179, 130, 186, 127, 183, 132, 188)(126, 182, 129, 185, 128, 184, 133, 189)(131, 187, 138, 194, 135, 191, 140, 196)(134, 190, 137, 193, 136, 192, 141, 197)(139, 195, 146, 202, 143, 199, 148, 204)(142, 198, 145, 201, 144, 200, 149, 205)(147, 203, 154, 210, 151, 207, 156, 212)(150, 206, 153, 209, 152, 208, 157, 213)(155, 211, 162, 218, 159, 215, 164, 220)(158, 214, 161, 217, 160, 216, 165, 221)(163, 219, 168, 224, 166, 222, 167, 223)
	L = (1, 116)(2, 119)(3, 121)(4, 123)(5, 125)(6, 113)(7, 127)(8, 114)(9, 129)(10, 115)(11, 131)(12, 117)(13, 133)(14, 118)(15, 135)(16, 120)(17, 137)(18, 122)(19, 139)(20, 124)(21, 141)(22, 126)(23, 143)(24, 128)(25, 145)(26, 130)(27, 147)(28, 132)(29, 149)(30, 134)(31, 151)(32, 136)(33, 153)(34, 138)(35, 155)(36, 140)(37, 157)(38, 142)(39, 159)(40, 144)(41, 161)(42, 146)(43, 163)(44, 148)(45, 165)(46, 150)(47, 166)(48, 152)(49, 167)(50, 154)(51, 160)(52, 156)(53, 168)(54, 158)(55, 164)(56, 162)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 8, 56, 8, 56 ), ( 8, 56, 8, 56, 8, 56, 8, 56 ) }
Outer automorphisms :: reflexible
Dual of E28.1079
Graph:: bipartite
	v = 42 e = 112 f = 16
	degree seq :: [ 4^28, 8^14 ]

E28.1079 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 28})
Quotient :: dipole
Aut^+ = C7 : Q8 (small group id <56, 3>)
Aut   = (C28 x C2) : C2 (small group id <112, 30>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2 * Y3^-1 * Y1^-1, Y2 * Y3^-1 * Y1^2, Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y3, Y2^-1), Y1^-1 * Y2^-1 * Y3 * Y1^-1, Y2 * Y1 * Y2 * Y1^-1, Y2^2 * Y3^-2, Y3^-1 * Y1 * Y3^-1 * Y1^-1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3^3 * Y1^-1 * Y2^3 * Y1^-1, Y3^-2 * Y2^-5 * Y3^-1 * Y2^-6 ]
Map:: non-degenerate
	R = (1, 57, 2, 58, 8, 64, 5, 61)(3, 59, 11, 67, 4, 60, 12, 68)(6, 62, 9, 65, 7, 63, 10, 66)(13, 69, 19, 75, 14, 70, 20, 76)(15, 71, 17, 73, 16, 72, 18, 74)(21, 77, 27, 83, 22, 78, 28, 84)(23, 79, 25, 81, 24, 80, 26, 82)(29, 85, 35, 91, 30, 86, 36, 92)(31, 87, 33, 89, 32, 88, 34, 90)(37, 93, 43, 99, 38, 94, 44, 100)(39, 95, 41, 97, 40, 96, 42, 98)(45, 101, 51, 107, 46, 102, 52, 108)(47, 103, 49, 105, 48, 104, 50, 106)(53, 109, 56, 112, 54, 110, 55, 111)(113, 169, 115, 171, 125, 181, 133, 189, 141, 197, 149, 205, 157, 213, 165, 221, 160, 216, 152, 208, 144, 200, 136, 192, 128, 184, 119, 175, 120, 176, 116, 172, 126, 182, 134, 190, 142, 198, 150, 206, 158, 214, 166, 222, 159, 215, 151, 207, 143, 199, 135, 191, 127, 183, 118, 174)(114, 170, 121, 177, 129, 185, 137, 193, 145, 201, 153, 209, 161, 217, 167, 223, 164, 220, 156, 212, 148, 204, 140, 196, 132, 188, 124, 180, 117, 173, 122, 178, 130, 186, 138, 194, 146, 202, 154, 210, 162, 218, 168, 224, 163, 219, 155, 211, 147, 203, 139, 195, 131, 187, 123, 179)
	L = (1, 116)(2, 122)(3, 126)(4, 125)(5, 121)(6, 120)(7, 113)(8, 115)(9, 130)(10, 129)(11, 117)(12, 114)(13, 134)(14, 133)(15, 119)(16, 118)(17, 138)(18, 137)(19, 124)(20, 123)(21, 142)(22, 141)(23, 128)(24, 127)(25, 146)(26, 145)(27, 132)(28, 131)(29, 150)(30, 149)(31, 136)(32, 135)(33, 154)(34, 153)(35, 140)(36, 139)(37, 158)(38, 157)(39, 144)(40, 143)(41, 162)(42, 161)(43, 148)(44, 147)(45, 166)(46, 165)(47, 152)(48, 151)(49, 168)(50, 167)(51, 156)(52, 155)(53, 159)(54, 160)(55, 163)(56, 164)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.1078
Graph:: bipartite
	v = 16 e = 112 f = 42
	degree seq :: [ 8^14, 56^2 ]

E28.1080 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 56, 56})
Quotient :: dipole
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y1^2, R^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, Y2^28 * Y1, (Y3 * Y2^-1)^56 ]
Map::
	R = (1, 57, 2, 58)(3, 59, 5, 61)(4, 60, 6, 62)(7, 63, 9, 65)(8, 64, 10, 66)(11, 67, 13, 69)(12, 68, 14, 70)(15, 71, 17, 73)(16, 72, 18, 74)(19, 75, 21, 77)(20, 76, 22, 78)(23, 79, 25, 81)(24, 80, 26, 82)(27, 83, 32, 88)(28, 84, 45, 101)(29, 85, 30, 86)(31, 87, 33, 89)(34, 90, 35, 91)(36, 92, 37, 93)(38, 94, 39, 95)(40, 96, 41, 97)(42, 98, 43, 99)(44, 100, 49, 105)(46, 102, 47, 103)(48, 104, 50, 106)(51, 107, 52, 108)(53, 109, 54, 110)(55, 111, 56, 112)(113, 169, 115, 171, 119, 175, 123, 179, 127, 183, 131, 187, 135, 191, 139, 195, 142, 198, 145, 201, 147, 203, 149, 205, 151, 207, 153, 209, 155, 211, 161, 217, 158, 214, 160, 216, 163, 219, 165, 221, 167, 223, 157, 213, 138, 194, 134, 190, 130, 186, 126, 182, 122, 178, 118, 174, 114, 170, 117, 173, 121, 177, 125, 181, 129, 185, 133, 189, 137, 193, 144, 200, 141, 197, 143, 199, 146, 202, 148, 204, 150, 206, 152, 208, 154, 210, 156, 212, 159, 215, 162, 218, 164, 220, 166, 222, 168, 224, 140, 196, 136, 192, 132, 188, 128, 184, 124, 180, 120, 176, 116, 172)
	L = (1, 113)(2, 114)(3, 115)(4, 116)(5, 117)(6, 118)(7, 119)(8, 120)(9, 121)(10, 122)(11, 123)(12, 124)(13, 125)(14, 126)(15, 127)(16, 128)(17, 129)(18, 130)(19, 131)(20, 132)(21, 133)(22, 134)(23, 135)(24, 136)(25, 137)(26, 138)(27, 139)(28, 140)(29, 141)(30, 142)(31, 143)(32, 144)(33, 145)(34, 146)(35, 147)(36, 148)(37, 149)(38, 150)(39, 151)(40, 152)(41, 153)(42, 154)(43, 155)(44, 156)(45, 157)(46, 158)(47, 159)(48, 160)(49, 161)(50, 162)(51, 163)(52, 164)(53, 165)(54, 166)(55, 167)(56, 168)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 4, 112, 4, 112 ), ( 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 29 e = 112 f = 29
	degree seq :: [ 4^28, 112 ]

E28.1081 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {57, 57, 57})
Quotient :: edge
Aut^+ = C57 (small group id <57, 2>)
Aut   = D114 (small group id <114, 5>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^2, (F * T1)^2, (F * T2)^2, T2^-28 * T1 ]
Map:: non-degenerate
	R = (1, 3, 7, 11, 15, 19, 23, 27, 31, 35, 39, 43, 47, 51, 55, 54, 50, 46, 42, 38, 34, 30, 26, 22, 18, 14, 10, 6, 2, 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 57, 53, 49, 45, 41, 37, 33, 29, 25, 21, 17, 13, 9, 5)(58, 59, 62, 63, 66, 67, 70, 71, 74, 75, 78, 79, 82, 83, 86, 87, 90, 91, 94, 95, 98, 99, 102, 103, 106, 107, 110, 111, 114, 112, 113, 108, 109, 104, 105, 100, 101, 96, 97, 92, 93, 88, 89, 84, 85, 80, 81, 76, 77, 72, 73, 68, 69, 64, 65, 60, 61)
	L = (1, 58)(2, 59)(3, 60)(4, 61)(5, 62)(6, 63)(7, 64)(8, 65)(9, 66)(10, 67)(11, 68)(12, 69)(13, 70)(14, 71)(15, 72)(16, 73)(17, 74)(18, 75)(19, 76)(20, 77)(21, 78)(22, 79)(23, 80)(24, 81)(25, 82)(26, 83)(27, 84)(28, 85)(29, 86)(30, 87)(31, 88)(32, 89)(33, 90)(34, 91)(35, 92)(36, 93)(37, 94)(38, 95)(39, 96)(40, 97)(41, 98)(42, 99)(43, 100)(44, 101)(45, 102)(46, 103)(47, 104)(48, 105)(49, 106)(50, 107)(51, 108)(52, 109)(53, 110)(54, 111)(55, 112)(56, 113)(57, 114)
	local type(s) :: { ( 114^57 ) }
Outer automorphisms :: reflexible
Dual of E28.1089
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 57 f = 1
	degree seq :: [ 57^2 ]

E28.1082 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {57, 57, 57})
Quotient :: edge
Aut^+ = C57 (small group id <57, 2>)
Aut   = D114 (small group id <114, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-1 * T2 * T1^-3, T2 * T1 * T2^13, (T1^-1 * T2^-1)^57 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 25, 33, 41, 49, 52, 44, 36, 28, 20, 12, 4, 10, 18, 26, 34, 42, 50, 56, 57, 51, 43, 35, 27, 19, 11, 6, 14, 22, 30, 38, 46, 54, 55, 48, 40, 32, 24, 16, 8, 2, 7, 15, 23, 31, 39, 47, 53, 45, 37, 29, 21, 13, 5)(58, 59, 63, 67, 60, 64, 71, 75, 66, 72, 79, 83, 74, 80, 87, 91, 82, 88, 95, 99, 90, 96, 103, 107, 98, 104, 111, 113, 106, 110, 112, 114, 109, 102, 105, 108, 101, 94, 97, 100, 93, 86, 89, 92, 85, 78, 81, 84, 77, 70, 73, 76, 69, 62, 65, 68, 61)
	L = (1, 58)(2, 59)(3, 60)(4, 61)(5, 62)(6, 63)(7, 64)(8, 65)(9, 66)(10, 67)(11, 68)(12, 69)(13, 70)(14, 71)(15, 72)(16, 73)(17, 74)(18, 75)(19, 76)(20, 77)(21, 78)(22, 79)(23, 80)(24, 81)(25, 82)(26, 83)(27, 84)(28, 85)(29, 86)(30, 87)(31, 88)(32, 89)(33, 90)(34, 91)(35, 92)(36, 93)(37, 94)(38, 95)(39, 96)(40, 97)(41, 98)(42, 99)(43, 100)(44, 101)(45, 102)(46, 103)(47, 104)(48, 105)(49, 106)(50, 107)(51, 108)(52, 109)(53, 110)(54, 111)(55, 112)(56, 113)(57, 114)
	local type(s) :: { ( 114^57 ) }
Outer automorphisms :: reflexible
Dual of E28.1091
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 57 f = 1
	degree seq :: [ 57^2 ]

E28.1083 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {57, 57, 57})
Quotient :: edge
Aut^+ = C57 (small group id <57, 2>)
Aut   = D114 (small group id <114, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2 * T1^2 * T2^-1 * T1^-2, T2^-1 * T1^-5, T2^-1 * T1 * T2^-10 * T1, T1^-2 * T2^-2 * T1 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^2 * T2^-4 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 29, 39, 49, 46, 36, 26, 16, 6, 15, 25, 35, 45, 55, 57, 52, 42, 32, 22, 12, 4, 10, 20, 30, 40, 50, 48, 38, 28, 18, 8, 2, 7, 17, 27, 37, 47, 56, 54, 44, 34, 24, 14, 11, 21, 31, 41, 51, 53, 43, 33, 23, 13, 5)(58, 59, 63, 71, 69, 62, 65, 73, 81, 79, 70, 75, 83, 91, 89, 80, 85, 93, 101, 99, 90, 95, 103, 111, 109, 100, 105, 106, 113, 114, 110, 107, 96, 104, 112, 108, 97, 86, 94, 102, 98, 87, 76, 84, 92, 88, 77, 66, 74, 82, 78, 67, 60, 64, 72, 68, 61)
	L = (1, 58)(2, 59)(3, 60)(4, 61)(5, 62)(6, 63)(7, 64)(8, 65)(9, 66)(10, 67)(11, 68)(12, 69)(13, 70)(14, 71)(15, 72)(16, 73)(17, 74)(18, 75)(19, 76)(20, 77)(21, 78)(22, 79)(23, 80)(24, 81)(25, 82)(26, 83)(27, 84)(28, 85)(29, 86)(30, 87)(31, 88)(32, 89)(33, 90)(34, 91)(35, 92)(36, 93)(37, 94)(38, 95)(39, 96)(40, 97)(41, 98)(42, 99)(43, 100)(44, 101)(45, 102)(46, 103)(47, 104)(48, 105)(49, 106)(50, 107)(51, 108)(52, 109)(53, 110)(54, 111)(55, 112)(56, 113)(57, 114)
	local type(s) :: { ( 114^57 ) }
Outer automorphisms :: reflexible
Dual of E28.1090
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 57 f = 1
	degree seq :: [ 57^2 ]

E28.1084 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {57, 57, 57})
Quotient :: edge
Aut^+ = C57 (small group id <57, 2>)
Aut   = D114 (small group id <114, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2 * T1^-3 * T2^-1 * T1^3, T1^-2 * T2 * T1^-5, T2^6 * T1 * T2^2, (T1^-1 * T2^-1)^57 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 38, 24, 12, 4, 10, 20, 34, 46, 49, 37, 23, 11, 21, 35, 47, 54, 55, 48, 36, 22, 26, 40, 50, 56, 57, 52, 42, 28, 14, 27, 41, 51, 53, 44, 30, 16, 6, 15, 29, 43, 45, 32, 18, 8, 2, 7, 17, 31, 39, 25, 13, 5)(58, 59, 63, 71, 83, 78, 67, 60, 64, 72, 84, 97, 92, 77, 66, 74, 86, 98, 107, 104, 91, 76, 88, 100, 108, 113, 111, 103, 90, 96, 102, 110, 114, 112, 106, 95, 82, 89, 101, 109, 105, 94, 81, 70, 75, 87, 99, 93, 80, 69, 62, 65, 73, 85, 79, 68, 61)
	L = (1, 58)(2, 59)(3, 60)(4, 61)(5, 62)(6, 63)(7, 64)(8, 65)(9, 66)(10, 67)(11, 68)(12, 69)(13, 70)(14, 71)(15, 72)(16, 73)(17, 74)(18, 75)(19, 76)(20, 77)(21, 78)(22, 79)(23, 80)(24, 81)(25, 82)(26, 83)(27, 84)(28, 85)(29, 86)(30, 87)(31, 88)(32, 89)(33, 90)(34, 91)(35, 92)(36, 93)(37, 94)(38, 95)(39, 96)(40, 97)(41, 98)(42, 99)(43, 100)(44, 101)(45, 102)(46, 103)(47, 104)(48, 105)(49, 106)(50, 107)(51, 108)(52, 109)(53, 110)(54, 111)(55, 112)(56, 113)(57, 114)
	local type(s) :: { ( 114^57 ) }
Outer automorphisms :: reflexible
Dual of E28.1092
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 57 f = 1
	degree seq :: [ 57^2 ]

E28.1085 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {57, 57, 57})
Quotient :: edge
Aut^+ = C57 (small group id <57, 2>)
Aut   = D114 (small group id <114, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T1^-1, T2^-1), (F * T1)^2, T2^4 * T1^-1 * T2 * T1^-2 * T2, T1^4 * T2^-1 * T1^6, T1^-1 * T2^-1 * T1^-2 * T2^-3 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 28, 14, 27, 45, 56, 50, 37, 48, 53, 40, 24, 12, 4, 10, 20, 34, 30, 16, 6, 15, 29, 46, 57, 49, 42, 54, 52, 39, 23, 11, 21, 35, 32, 18, 8, 2, 7, 17, 31, 47, 44, 26, 43, 55, 51, 38, 22, 36, 41, 25, 13, 5)(58, 59, 63, 71, 83, 99, 105, 93, 78, 67, 60, 64, 72, 84, 100, 111, 110, 98, 92, 77, 66, 74, 86, 102, 112, 109, 97, 82, 89, 91, 76, 88, 103, 113, 108, 96, 81, 70, 75, 87, 90, 104, 114, 107, 95, 80, 69, 62, 65, 73, 85, 101, 106, 94, 79, 68, 61)
	L = (1, 58)(2, 59)(3, 60)(4, 61)(5, 62)(6, 63)(7, 64)(8, 65)(9, 66)(10, 67)(11, 68)(12, 69)(13, 70)(14, 71)(15, 72)(16, 73)(17, 74)(18, 75)(19, 76)(20, 77)(21, 78)(22, 79)(23, 80)(24, 81)(25, 82)(26, 83)(27, 84)(28, 85)(29, 86)(30, 87)(31, 88)(32, 89)(33, 90)(34, 91)(35, 92)(36, 93)(37, 94)(38, 95)(39, 96)(40, 97)(41, 98)(42, 99)(43, 100)(44, 101)(45, 102)(46, 103)(47, 104)(48, 105)(49, 106)(50, 107)(51, 108)(52, 109)(53, 110)(54, 111)(55, 112)(56, 113)(57, 114)
	local type(s) :: { ( 114^57 ) }
Outer automorphisms :: reflexible
Dual of E28.1094
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 57 f = 1
	degree seq :: [ 57^2 ]

E28.1086 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {57, 57, 57})
Quotient :: edge
Aut^+ = C57 (small group id <57, 2>)
Aut   = D114 (small group id <114, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2 * T1^-1 * T2^4 * T1^-1, T1^-3 * T2^-1 * T1^-8, (T1^-1 * T2^-1)^57 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 16, 6, 15, 29, 40, 38, 26, 37, 49, 56, 54, 46, 42, 51, 53, 44, 33, 22, 31, 35, 24, 12, 4, 10, 20, 18, 8, 2, 7, 17, 30, 28, 14, 27, 39, 50, 48, 36, 47, 55, 57, 52, 43, 32, 41, 45, 34, 23, 11, 21, 25, 13, 5)(58, 59, 63, 71, 83, 93, 103, 100, 90, 80, 69, 62, 65, 73, 85, 95, 105, 111, 109, 101, 91, 81, 70, 75, 76, 87, 97, 107, 113, 114, 110, 102, 92, 82, 77, 66, 74, 86, 96, 106, 112, 108, 98, 88, 78, 67, 60, 64, 72, 84, 94, 104, 99, 89, 79, 68, 61)
	L = (1, 58)(2, 59)(3, 60)(4, 61)(5, 62)(6, 63)(7, 64)(8, 65)(9, 66)(10, 67)(11, 68)(12, 69)(13, 70)(14, 71)(15, 72)(16, 73)(17, 74)(18, 75)(19, 76)(20, 77)(21, 78)(22, 79)(23, 80)(24, 81)(25, 82)(26, 83)(27, 84)(28, 85)(29, 86)(30, 87)(31, 88)(32, 89)(33, 90)(34, 91)(35, 92)(36, 93)(37, 94)(38, 95)(39, 96)(40, 97)(41, 98)(42, 99)(43, 100)(44, 101)(45, 102)(46, 103)(47, 104)(48, 105)(49, 106)(50, 107)(51, 108)(52, 109)(53, 110)(54, 111)(55, 112)(56, 113)(57, 114)
	local type(s) :: { ( 114^57 ) }
Outer automorphisms :: reflexible
Dual of E28.1093
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 57 f = 1
	degree seq :: [ 57^2 ]

E28.1087 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {57, 57, 57})
Quotient :: edge
Aut^+ = C57 (small group id <57, 2>)
Aut   = D114 (small group id <114, 5>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T2)^2, (F * T1)^2, T2^4 * T1^5, T2^-9 * T1^3, T2^4 * T1^-1 * T2^5 * T1^-2, T1^2 * T2^-1 * T1 * T2^-1 * T1^4 * T2^-3 * T1, T2^57, T2^57, (T1^-1 * T2^-1)^57 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 46, 53, 43, 28, 14, 27, 39, 23, 11, 21, 35, 48, 55, 45, 32, 18, 8, 2, 7, 17, 31, 37, 50, 57, 52, 42, 26, 40, 24, 12, 4, 10, 20, 34, 47, 54, 44, 30, 16, 6, 15, 29, 38, 22, 36, 49, 56, 51, 41, 25, 13, 5)(58, 59, 63, 71, 83, 98, 102, 111, 103, 107, 93, 78, 67, 60, 64, 72, 84, 97, 82, 89, 101, 110, 114, 106, 92, 77, 66, 74, 86, 96, 81, 70, 75, 87, 100, 109, 113, 105, 91, 76, 88, 95, 80, 69, 62, 65, 73, 85, 99, 108, 112, 104, 90, 94, 79, 68, 61)
	L = (1, 58)(2, 59)(3, 60)(4, 61)(5, 62)(6, 63)(7, 64)(8, 65)(9, 66)(10, 67)(11, 68)(12, 69)(13, 70)(14, 71)(15, 72)(16, 73)(17, 74)(18, 75)(19, 76)(20, 77)(21, 78)(22, 79)(23, 80)(24, 81)(25, 82)(26, 83)(27, 84)(28, 85)(29, 86)(30, 87)(31, 88)(32, 89)(33, 90)(34, 91)(35, 92)(36, 93)(37, 94)(38, 95)(39, 96)(40, 97)(41, 98)(42, 99)(43, 100)(44, 101)(45, 102)(46, 103)(47, 104)(48, 105)(49, 106)(50, 107)(51, 108)(52, 109)(53, 110)(54, 111)(55, 112)(56, 113)(57, 114)
	local type(s) :: { ( 114^57 ) }
Outer automorphisms :: reflexible
Dual of E28.1095
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 57 f = 1
	degree seq :: [ 57^2 ]

E28.1088 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {57, 57, 57})
Quotient :: edge
Aut^+ = C57 (small group id <57, 2>)
Aut   = D114 (small group id <114, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^-1 * T1^-2 * T2^-6, T1^-2 * T2 * T1^-1 * T2^3 * T1^-4, T2 * T1^5 * T2 * T1^4 * T2, T1^2 * T2^-3 * T1^3 * T2^-3 * T1^3 * T2^-3 * T1^3 * T2^-3 * T1 * T2^-3 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 39, 23, 11, 21, 35, 50, 42, 56, 54, 37, 52, 46, 28, 14, 27, 45, 48, 32, 18, 8, 2, 7, 17, 31, 40, 24, 12, 4, 10, 20, 34, 49, 55, 38, 22, 36, 51, 44, 26, 43, 57, 53, 47, 30, 16, 6, 15, 29, 41, 25, 13, 5)(58, 59, 63, 71, 83, 99, 106, 90, 97, 82, 89, 104, 109, 93, 78, 67, 60, 64, 72, 84, 100, 113, 112, 96, 81, 70, 75, 87, 103, 108, 92, 77, 66, 74, 86, 102, 114, 111, 95, 80, 69, 62, 65, 73, 85, 101, 107, 91, 76, 88, 98, 105, 110, 94, 79, 68, 61)
	L = (1, 58)(2, 59)(3, 60)(4, 61)(5, 62)(6, 63)(7, 64)(8, 65)(9, 66)(10, 67)(11, 68)(12, 69)(13, 70)(14, 71)(15, 72)(16, 73)(17, 74)(18, 75)(19, 76)(20, 77)(21, 78)(22, 79)(23, 80)(24, 81)(25, 82)(26, 83)(27, 84)(28, 85)(29, 86)(30, 87)(31, 88)(32, 89)(33, 90)(34, 91)(35, 92)(36, 93)(37, 94)(38, 95)(39, 96)(40, 97)(41, 98)(42, 99)(43, 100)(44, 101)(45, 102)(46, 103)(47, 104)(48, 105)(49, 106)(50, 107)(51, 108)(52, 109)(53, 110)(54, 111)(55, 112)(56, 113)(57, 114)
	local type(s) :: { ( 114^57 ) }
Outer automorphisms :: reflexible
Dual of E28.1096
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 57 f = 1
	degree seq :: [ 57^2 ]

E28.1089 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {57, 57, 57})
Quotient :: loop
Aut^+ = C57 (small group id <57, 2>)
Aut   = D114 (small group id <114, 5>)
|r| :: 2
Presentation :: [ F^2, T2^-1 * T1, (F * T1)^2, (F * T2)^2, T2^57, T1^57, (T2^-1 * T1^-1)^57 ]
Map:: non-degenerate
	R = (1, 58, 2, 59, 6, 63, 14, 71, 26, 83, 42, 99, 48, 105, 36, 93, 21, 78, 10, 67, 3, 60, 7, 64, 15, 72, 27, 84, 43, 100, 54, 111, 53, 110, 41, 98, 35, 92, 20, 77, 9, 66, 17, 74, 29, 86, 45, 102, 55, 112, 52, 109, 40, 97, 25, 82, 32, 89, 34, 91, 19, 76, 31, 88, 46, 103, 56, 113, 51, 108, 39, 96, 24, 81, 13, 70, 18, 75, 30, 87, 33, 90, 47, 104, 57, 114, 50, 107, 38, 95, 23, 80, 12, 69, 5, 62, 8, 65, 16, 73, 28, 85, 44, 101, 49, 106, 37, 94, 22, 79, 11, 68, 4, 61)
	L = (1, 59)(2, 63)(3, 64)(4, 58)(5, 65)(6, 71)(7, 72)(8, 73)(9, 74)(10, 60)(11, 61)(12, 62)(13, 75)(14, 83)(15, 84)(16, 85)(17, 86)(18, 87)(19, 88)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 89)(26, 99)(27, 100)(28, 101)(29, 102)(30, 90)(31, 103)(32, 91)(33, 104)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 92)(42, 105)(43, 111)(44, 106)(45, 112)(46, 113)(47, 114)(48, 93)(49, 94)(50, 95)(51, 96)(52, 97)(53, 98)(54, 110)(55, 109)(56, 108)(57, 107)
	local type(s) :: { ( 57^114 ) }
Outer automorphisms :: reflexible
Dual of E28.1081
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 57 f = 2
	degree seq :: [ 114 ]

E28.1090 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {57, 57, 57})
Quotient :: loop
Aut^+ = C57 (small group id <57, 2>)
Aut   = D114 (small group id <114, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-1 * T2 * T1^-3, T2 * T1 * T2^13, (T1^-1 * T2^-1)^57 ]
Map:: non-degenerate
	R = (1, 58, 3, 60, 9, 66, 17, 74, 25, 82, 33, 90, 41, 98, 49, 106, 52, 109, 44, 101, 36, 93, 28, 85, 20, 77, 12, 69, 4, 61, 10, 67, 18, 75, 26, 83, 34, 91, 42, 99, 50, 107, 56, 113, 57, 114, 51, 108, 43, 100, 35, 92, 27, 84, 19, 76, 11, 68, 6, 63, 14, 71, 22, 79, 30, 87, 38, 95, 46, 103, 54, 111, 55, 112, 48, 105, 40, 97, 32, 89, 24, 81, 16, 73, 8, 65, 2, 59, 7, 64, 15, 72, 23, 80, 31, 88, 39, 96, 47, 104, 53, 110, 45, 102, 37, 94, 29, 86, 21, 78, 13, 70, 5, 62)
	L = (1, 59)(2, 63)(3, 64)(4, 58)(5, 65)(6, 67)(7, 71)(8, 68)(9, 72)(10, 60)(11, 61)(12, 62)(13, 73)(14, 75)(15, 79)(16, 76)(17, 80)(18, 66)(19, 69)(20, 70)(21, 81)(22, 83)(23, 87)(24, 84)(25, 88)(26, 74)(27, 77)(28, 78)(29, 89)(30, 91)(31, 95)(32, 92)(33, 96)(34, 82)(35, 85)(36, 86)(37, 97)(38, 99)(39, 103)(40, 100)(41, 104)(42, 90)(43, 93)(44, 94)(45, 105)(46, 107)(47, 111)(48, 108)(49, 110)(50, 98)(51, 101)(52, 102)(53, 112)(54, 113)(55, 114)(56, 106)(57, 109)
	local type(s) :: { ( 57^114 ) }
Outer automorphisms :: reflexible
Dual of E28.1083
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 57 f = 2
	degree seq :: [ 114 ]

E28.1091 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {57, 57, 57})
Quotient :: loop
Aut^+ = C57 (small group id <57, 2>)
Aut   = D114 (small group id <114, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2 * T1^2 * T2^-1 * T1^-2, T2^-1 * T1^-5, T2^-1 * T1 * T2^-10 * T1, T1^-2 * T2^-2 * T1 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^2 * T2^-4 ]
Map:: non-degenerate
	R = (1, 58, 3, 60, 9, 66, 19, 76, 29, 86, 39, 96, 49, 106, 46, 103, 36, 93, 26, 83, 16, 73, 6, 63, 15, 72, 25, 82, 35, 92, 45, 102, 55, 112, 57, 114, 52, 109, 42, 99, 32, 89, 22, 79, 12, 69, 4, 61, 10, 67, 20, 77, 30, 87, 40, 97, 50, 107, 48, 105, 38, 95, 28, 85, 18, 75, 8, 65, 2, 59, 7, 64, 17, 74, 27, 84, 37, 94, 47, 104, 56, 113, 54, 111, 44, 101, 34, 91, 24, 81, 14, 71, 11, 68, 21, 78, 31, 88, 41, 98, 51, 108, 53, 110, 43, 100, 33, 90, 23, 80, 13, 70, 5, 62)
	L = (1, 59)(2, 63)(3, 64)(4, 58)(5, 65)(6, 71)(7, 72)(8, 73)(9, 74)(10, 60)(11, 61)(12, 62)(13, 75)(14, 69)(15, 68)(16, 81)(17, 82)(18, 83)(19, 84)(20, 66)(21, 67)(22, 70)(23, 85)(24, 79)(25, 78)(26, 91)(27, 92)(28, 93)(29, 94)(30, 76)(31, 77)(32, 80)(33, 95)(34, 89)(35, 88)(36, 101)(37, 102)(38, 103)(39, 104)(40, 86)(41, 87)(42, 90)(43, 105)(44, 99)(45, 98)(46, 111)(47, 112)(48, 106)(49, 113)(50, 96)(51, 97)(52, 100)(53, 107)(54, 109)(55, 108)(56, 114)(57, 110)
	local type(s) :: { ( 57^114 ) }
Outer automorphisms :: reflexible
Dual of E28.1082
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 57 f = 2
	degree seq :: [ 114 ]

E28.1092 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {57, 57, 57})
Quotient :: loop
Aut^+ = C57 (small group id <57, 2>)
Aut   = D114 (small group id <114, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2 * T1^-3 * T2^-1 * T1^3, T1^-2 * T2 * T1^-5, T2^6 * T1 * T2^2, (T1^-1 * T2^-1)^57 ]
Map:: non-degenerate
	R = (1, 58, 3, 60, 9, 66, 19, 76, 33, 90, 38, 95, 24, 81, 12, 69, 4, 61, 10, 67, 20, 77, 34, 91, 46, 103, 49, 106, 37, 94, 23, 80, 11, 68, 21, 78, 35, 92, 47, 104, 54, 111, 55, 112, 48, 105, 36, 93, 22, 79, 26, 83, 40, 97, 50, 107, 56, 113, 57, 114, 52, 109, 42, 99, 28, 85, 14, 71, 27, 84, 41, 98, 51, 108, 53, 110, 44, 101, 30, 87, 16, 73, 6, 63, 15, 72, 29, 86, 43, 100, 45, 102, 32, 89, 18, 75, 8, 65, 2, 59, 7, 64, 17, 74, 31, 88, 39, 96, 25, 82, 13, 70, 5, 62)
	L = (1, 59)(2, 63)(3, 64)(4, 58)(5, 65)(6, 71)(7, 72)(8, 73)(9, 74)(10, 60)(11, 61)(12, 62)(13, 75)(14, 83)(15, 84)(16, 85)(17, 86)(18, 87)(19, 88)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 89)(26, 78)(27, 97)(28, 79)(29, 98)(30, 99)(31, 100)(32, 101)(33, 96)(34, 76)(35, 77)(36, 80)(37, 81)(38, 82)(39, 102)(40, 92)(41, 107)(42, 93)(43, 108)(44, 109)(45, 110)(46, 90)(47, 91)(48, 94)(49, 95)(50, 104)(51, 113)(52, 105)(53, 114)(54, 103)(55, 106)(56, 111)(57, 112)
	local type(s) :: { ( 57^114 ) }
Outer automorphisms :: reflexible
Dual of E28.1084
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 57 f = 2
	degree seq :: [ 114 ]

E28.1093 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {57, 57, 57})
Quotient :: loop
Aut^+ = C57 (small group id <57, 2>)
Aut   = D114 (small group id <114, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T1^-1, T2^-1), (F * T1)^2, T2^4 * T1^-1 * T2 * T1^-2 * T2, T1^4 * T2^-1 * T1^6, T1^-1 * T2^-1 * T1^-2 * T2^-3 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 58, 3, 60, 9, 66, 19, 76, 33, 90, 28, 85, 14, 71, 27, 84, 45, 102, 56, 113, 50, 107, 37, 94, 48, 105, 53, 110, 40, 97, 24, 81, 12, 69, 4, 61, 10, 67, 20, 77, 34, 91, 30, 87, 16, 73, 6, 63, 15, 72, 29, 86, 46, 103, 57, 114, 49, 106, 42, 99, 54, 111, 52, 109, 39, 96, 23, 80, 11, 68, 21, 78, 35, 92, 32, 89, 18, 75, 8, 65, 2, 59, 7, 64, 17, 74, 31, 88, 47, 104, 44, 101, 26, 83, 43, 100, 55, 112, 51, 108, 38, 95, 22, 79, 36, 93, 41, 98, 25, 82, 13, 70, 5, 62)
	L = (1, 59)(2, 63)(3, 64)(4, 58)(5, 65)(6, 71)(7, 72)(8, 73)(9, 74)(10, 60)(11, 61)(12, 62)(13, 75)(14, 83)(15, 84)(16, 85)(17, 86)(18, 87)(19, 88)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 89)(26, 99)(27, 100)(28, 101)(29, 102)(30, 90)(31, 103)(32, 91)(33, 104)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 92)(42, 105)(43, 111)(44, 106)(45, 112)(46, 113)(47, 114)(48, 93)(49, 94)(50, 95)(51, 96)(52, 97)(53, 98)(54, 110)(55, 109)(56, 108)(57, 107)
	local type(s) :: { ( 57^114 ) }
Outer automorphisms :: reflexible
Dual of E28.1086
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 57 f = 2
	degree seq :: [ 114 ]

E28.1094 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {57, 57, 57})
Quotient :: loop
Aut^+ = C57 (small group id <57, 2>)
Aut   = D114 (small group id <114, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2 * T1^-1 * T2^4 * T1^-1, T1^-3 * T2^-1 * T1^-8, (T1^-1 * T2^-1)^57 ]
Map:: non-degenerate
	R = (1, 58, 3, 60, 9, 66, 19, 76, 16, 73, 6, 63, 15, 72, 29, 86, 40, 97, 38, 95, 26, 83, 37, 94, 49, 106, 56, 113, 54, 111, 46, 103, 42, 99, 51, 108, 53, 110, 44, 101, 33, 90, 22, 79, 31, 88, 35, 92, 24, 81, 12, 69, 4, 61, 10, 67, 20, 77, 18, 75, 8, 65, 2, 59, 7, 64, 17, 74, 30, 87, 28, 85, 14, 71, 27, 84, 39, 96, 50, 107, 48, 105, 36, 93, 47, 104, 55, 112, 57, 114, 52, 109, 43, 100, 32, 89, 41, 98, 45, 102, 34, 91, 23, 80, 11, 68, 21, 78, 25, 82, 13, 70, 5, 62)
	L = (1, 59)(2, 63)(3, 64)(4, 58)(5, 65)(6, 71)(7, 72)(8, 73)(9, 74)(10, 60)(11, 61)(12, 62)(13, 75)(14, 83)(15, 84)(16, 85)(17, 86)(18, 76)(19, 87)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 77)(26, 93)(27, 94)(28, 95)(29, 96)(30, 97)(31, 78)(32, 79)(33, 80)(34, 81)(35, 82)(36, 103)(37, 104)(38, 105)(39, 106)(40, 107)(41, 88)(42, 89)(43, 90)(44, 91)(45, 92)(46, 100)(47, 99)(48, 111)(49, 112)(50, 113)(51, 98)(52, 101)(53, 102)(54, 109)(55, 108)(56, 114)(57, 110)
	local type(s) :: { ( 57^114 ) }
Outer automorphisms :: reflexible
Dual of E28.1085
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 57 f = 2
	degree seq :: [ 114 ]

E28.1095 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {57, 57, 57})
Quotient :: loop
Aut^+ = C57 (small group id <57, 2>)
Aut   = D114 (small group id <114, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^4 * T1^-1, T1^14 * T2, (T1^-1 * T2^-1)^57 ]
Map:: non-degenerate
	R = (1, 58, 3, 60, 9, 66, 8, 65, 2, 59, 7, 64, 17, 74, 16, 73, 6, 63, 15, 72, 25, 82, 24, 81, 14, 71, 23, 80, 33, 90, 32, 89, 22, 79, 31, 88, 41, 98, 40, 97, 30, 87, 39, 96, 49, 106, 48, 105, 38, 95, 47, 104, 55, 112, 54, 111, 46, 103, 51, 108, 56, 113, 57, 114, 52, 109, 43, 100, 50, 107, 53, 110, 44, 101, 35, 92, 42, 99, 45, 102, 36, 93, 27, 84, 34, 91, 37, 94, 28, 85, 19, 76, 26, 83, 29, 86, 20, 77, 11, 68, 18, 75, 21, 78, 12, 69, 4, 61, 10, 67, 13, 70, 5, 62)
	L = (1, 59)(2, 63)(3, 64)(4, 58)(5, 65)(6, 71)(7, 72)(8, 73)(9, 74)(10, 60)(11, 61)(12, 62)(13, 66)(14, 79)(15, 80)(16, 81)(17, 82)(18, 67)(19, 68)(20, 69)(21, 70)(22, 87)(23, 88)(24, 89)(25, 90)(26, 75)(27, 76)(28, 77)(29, 78)(30, 95)(31, 96)(32, 97)(33, 98)(34, 83)(35, 84)(36, 85)(37, 86)(38, 103)(39, 104)(40, 105)(41, 106)(42, 91)(43, 92)(44, 93)(45, 94)(46, 109)(47, 108)(48, 111)(49, 112)(50, 99)(51, 100)(52, 101)(53, 102)(54, 114)(55, 113)(56, 107)(57, 110)
	local type(s) :: { ( 57^114 ) }
Outer automorphisms :: reflexible
Dual of E28.1087
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 57 f = 2
	degree seq :: [ 114 ]

E28.1096 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {57, 57, 57})
Quotient :: loop
Aut^+ = C57 (small group id <57, 2>)
Aut   = D114 (small group id <114, 5>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2), (F * T2)^2, (F * T1)^2, T1^4 * T2^-1 * T1 * T2^-2 * T1, T2^-10 * T1, T1^-1 * T2^-2 * T1^-3 * T2^-5 * T1^-1, T1^-2 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 58, 3, 60, 9, 66, 19, 76, 33, 90, 47, 104, 46, 103, 32, 89, 18, 75, 8, 65, 2, 59, 7, 64, 17, 74, 31, 88, 45, 102, 57, 114, 49, 106, 37, 94, 30, 87, 16, 73, 6, 63, 15, 72, 29, 86, 44, 101, 56, 113, 50, 107, 38, 95, 22, 79, 36, 93, 28, 85, 14, 71, 27, 84, 43, 100, 55, 112, 51, 108, 39, 96, 23, 80, 11, 68, 21, 78, 35, 92, 26, 83, 42, 99, 54, 111, 52, 109, 40, 97, 24, 81, 12, 69, 4, 61, 10, 67, 20, 77, 34, 91, 48, 105, 53, 110, 41, 98, 25, 82, 13, 70, 5, 62)
	L = (1, 59)(2, 63)(3, 64)(4, 58)(5, 65)(6, 71)(7, 72)(8, 73)(9, 74)(10, 60)(11, 61)(12, 62)(13, 75)(14, 83)(15, 84)(16, 85)(17, 86)(18, 87)(19, 88)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 89)(26, 91)(27, 99)(28, 92)(29, 100)(30, 93)(31, 101)(32, 94)(33, 102)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 103)(42, 105)(43, 111)(44, 112)(45, 113)(46, 106)(47, 114)(48, 90)(49, 95)(50, 96)(51, 97)(52, 98)(53, 104)(54, 110)(55, 109)(56, 108)(57, 107)
	local type(s) :: { ( 57^114 ) }
Outer automorphisms :: reflexible
Dual of E28.1088
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 57 f = 2
	degree seq :: [ 114 ]

E28.1097 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {57, 57, 57})
Quotient :: dipole
Aut^+ = C57 (small group id <57, 2>)
Aut   = D114 (small group id <114, 5>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y2^2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3^28 * Y2, Y2 * Y1^-28 ]
Map::
	R = (1, 58, 2, 59, 6, 63, 10, 67, 14, 71, 18, 75, 22, 79, 26, 83, 30, 87, 34, 91, 38, 95, 42, 99, 46, 103, 50, 107, 54, 111, 56, 113, 52, 109, 48, 105, 44, 101, 40, 97, 36, 93, 32, 89, 28, 85, 24, 81, 20, 77, 16, 73, 12, 69, 8, 65, 3, 60, 5, 62, 7, 64, 11, 68, 15, 72, 19, 76, 23, 80, 27, 84, 31, 88, 35, 92, 39, 96, 43, 100, 47, 104, 51, 108, 55, 112, 57, 114, 53, 110, 49, 106, 45, 102, 41, 98, 37, 94, 33, 90, 29, 86, 25, 82, 21, 78, 17, 74, 13, 70, 9, 66, 4, 61)(115, 172, 117, 174, 118, 175, 122, 179, 123, 180, 126, 183, 127, 184, 130, 187, 131, 188, 134, 191, 135, 192, 138, 195, 139, 196, 142, 199, 143, 200, 146, 203, 147, 204, 150, 207, 151, 208, 154, 211, 155, 212, 158, 215, 159, 216, 162, 219, 163, 220, 166, 223, 167, 224, 170, 227, 171, 228, 168, 225, 169, 226, 164, 221, 165, 222, 160, 217, 161, 218, 156, 213, 157, 214, 152, 209, 153, 210, 148, 205, 149, 206, 144, 201, 145, 202, 140, 197, 141, 198, 136, 193, 137, 194, 132, 189, 133, 190, 128, 185, 129, 186, 124, 181, 125, 182, 120, 177, 121, 178, 116, 173, 119, 176)
	L = (1, 118)(2, 115)(3, 122)(4, 123)(5, 117)(6, 116)(7, 119)(8, 126)(9, 127)(10, 120)(11, 121)(12, 130)(13, 131)(14, 124)(15, 125)(16, 134)(17, 135)(18, 128)(19, 129)(20, 138)(21, 139)(22, 132)(23, 133)(24, 142)(25, 143)(26, 136)(27, 137)(28, 146)(29, 147)(30, 140)(31, 141)(32, 150)(33, 151)(34, 144)(35, 145)(36, 154)(37, 155)(38, 148)(39, 149)(40, 158)(41, 159)(42, 152)(43, 153)(44, 162)(45, 163)(46, 156)(47, 157)(48, 166)(49, 167)(50, 160)(51, 161)(52, 170)(53, 171)(54, 164)(55, 165)(56, 168)(57, 169)(58, 172)(59, 173)(60, 174)(61, 175)(62, 176)(63, 177)(64, 178)(65, 179)(66, 180)(67, 181)(68, 182)(69, 183)(70, 184)(71, 185)(72, 186)(73, 187)(74, 188)(75, 189)(76, 190)(77, 191)(78, 192)(79, 193)(80, 194)(81, 195)(82, 196)(83, 197)(84, 198)(85, 199)(86, 200)(87, 201)(88, 202)(89, 203)(90, 204)(91, 205)(92, 206)(93, 207)(94, 208)(95, 209)(96, 210)(97, 211)(98, 212)(99, 213)(100, 214)(101, 215)(102, 216)(103, 217)(104, 218)(105, 219)(106, 220)(107, 221)(108, 222)(109, 223)(110, 224)(111, 225)(112, 226)(113, 227)(114, 228)
	local type(s) :: { ( 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114 ) }
Outer automorphisms :: reflexible
Dual of E28.1105
Graph:: bipartite
	v = 2 e = 114 f = 58
	degree seq :: [ 114^2 ]

E28.1098 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {57, 57, 57})
Quotient :: dipole
Aut^+ = C57 (small group id <57, 2>)
Aut   = D114 (small group id <114, 5>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y2)^2, (Y2, Y1^-1), (R * Y3)^2, (R * Y1)^2, (Y2, Y3^-1), Y2^4 * Y3, Y2 * Y3^5 * Y2^-1 * Y1^5, Y1^6 * Y2 * Y1^2 * Y3^-6, Y3^4 * Y2^-1 * Y3^7 * Y2^-1 * Y3^6 * Y2^-1 * Y3^6 * Y2^-1 * Y3^6 * Y2^-1 * Y3^6 * Y2^-1 * Y3^6 * Y2^-1, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 58, 2, 59, 6, 63, 14, 71, 22, 79, 30, 87, 38, 95, 46, 103, 52, 109, 44, 101, 36, 93, 28, 85, 20, 77, 12, 69, 5, 62, 8, 65, 16, 73, 24, 81, 32, 89, 40, 97, 48, 105, 54, 111, 57, 114, 53, 110, 45, 102, 37, 94, 29, 86, 21, 78, 13, 70, 9, 66, 17, 74, 25, 82, 33, 90, 41, 98, 49, 106, 55, 112, 56, 113, 50, 107, 42, 99, 34, 91, 26, 83, 18, 75, 10, 67, 3, 60, 7, 64, 15, 72, 23, 80, 31, 88, 39, 96, 47, 104, 51, 108, 43, 100, 35, 92, 27, 84, 19, 76, 11, 68, 4, 61)(115, 172, 117, 174, 123, 180, 122, 179, 116, 173, 121, 178, 131, 188, 130, 187, 120, 177, 129, 186, 139, 196, 138, 195, 128, 185, 137, 194, 147, 204, 146, 203, 136, 193, 145, 202, 155, 212, 154, 211, 144, 201, 153, 210, 163, 220, 162, 219, 152, 209, 161, 218, 169, 226, 168, 225, 160, 217, 165, 222, 170, 227, 171, 228, 166, 223, 157, 214, 164, 221, 167, 224, 158, 215, 149, 206, 156, 213, 159, 216, 150, 207, 141, 198, 148, 205, 151, 208, 142, 199, 133, 190, 140, 197, 143, 200, 134, 191, 125, 182, 132, 189, 135, 192, 126, 183, 118, 175, 124, 181, 127, 184, 119, 176)
	L = (1, 118)(2, 115)(3, 124)(4, 125)(5, 126)(6, 116)(7, 117)(8, 119)(9, 127)(10, 132)(11, 133)(12, 134)(13, 135)(14, 120)(15, 121)(16, 122)(17, 123)(18, 140)(19, 141)(20, 142)(21, 143)(22, 128)(23, 129)(24, 130)(25, 131)(26, 148)(27, 149)(28, 150)(29, 151)(30, 136)(31, 137)(32, 138)(33, 139)(34, 156)(35, 157)(36, 158)(37, 159)(38, 144)(39, 145)(40, 146)(41, 147)(42, 164)(43, 165)(44, 166)(45, 167)(46, 152)(47, 153)(48, 154)(49, 155)(50, 170)(51, 161)(52, 160)(53, 171)(54, 162)(55, 163)(56, 169)(57, 168)(58, 172)(59, 173)(60, 174)(61, 175)(62, 176)(63, 177)(64, 178)(65, 179)(66, 180)(67, 181)(68, 182)(69, 183)(70, 184)(71, 185)(72, 186)(73, 187)(74, 188)(75, 189)(76, 190)(77, 191)(78, 192)(79, 193)(80, 194)(81, 195)(82, 196)(83, 197)(84, 198)(85, 199)(86, 200)(87, 201)(88, 202)(89, 203)(90, 204)(91, 205)(92, 206)(93, 207)(94, 208)(95, 209)(96, 210)(97, 211)(98, 212)(99, 213)(100, 214)(101, 215)(102, 216)(103, 217)(104, 218)(105, 219)(106, 220)(107, 221)(108, 222)(109, 223)(110, 224)(111, 225)(112, 226)(113, 227)(114, 228)
	local type(s) :: { ( 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114 ) }
Outer automorphisms :: reflexible
Dual of E28.1111
Graph:: bipartite
	v = 2 e = 114 f = 58
	degree seq :: [ 114^2 ]

E28.1099 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {57, 57, 57})
Quotient :: dipole
Aut^+ = C57 (small group id <57, 2>)
Aut   = D114 (small group id <114, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y1^-1), Y2 * Y3^-1 * Y2^4, Y3^-3 * Y2^-1 * Y1^-3 * Y2, Y1 * Y2 * Y3^-3 * Y2^-2 * Y3^4 * Y2, Y1^-1 * Y2^2 * Y3^3 * Y1^-2 * Y3^3 * Y1^-2, Y2^-1 * Y3^2 * Y2^2 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 58, 2, 59, 6, 63, 14, 71, 24, 81, 34, 91, 44, 101, 50, 107, 40, 97, 30, 87, 20, 77, 9, 66, 17, 74, 27, 84, 37, 94, 47, 104, 55, 112, 57, 114, 53, 110, 43, 100, 33, 90, 23, 80, 12, 69, 5, 62, 8, 65, 16, 73, 26, 83, 36, 93, 46, 103, 51, 108, 41, 98, 31, 88, 21, 78, 10, 67, 3, 60, 7, 64, 15, 72, 25, 82, 35, 92, 45, 102, 54, 111, 56, 113, 49, 106, 39, 96, 29, 86, 19, 76, 13, 70, 18, 75, 28, 85, 38, 95, 48, 105, 52, 109, 42, 99, 32, 89, 22, 79, 11, 68, 4, 61)(115, 172, 117, 174, 123, 180, 133, 190, 126, 183, 118, 175, 124, 181, 134, 191, 143, 200, 137, 194, 125, 182, 135, 192, 144, 201, 153, 210, 147, 204, 136, 193, 145, 202, 154, 211, 163, 220, 157, 214, 146, 203, 155, 212, 164, 221, 170, 227, 167, 224, 156, 213, 165, 222, 158, 215, 168, 225, 171, 228, 166, 223, 160, 217, 148, 205, 159, 216, 169, 226, 162, 219, 150, 207, 138, 195, 149, 206, 161, 218, 152, 209, 140, 197, 128, 185, 139, 196, 151, 208, 142, 199, 130, 187, 120, 177, 129, 186, 141, 198, 132, 189, 122, 179, 116, 173, 121, 178, 131, 188, 127, 184, 119, 176)
	L = (1, 118)(2, 115)(3, 124)(4, 125)(5, 126)(6, 116)(7, 117)(8, 119)(9, 134)(10, 135)(11, 136)(12, 137)(13, 133)(14, 120)(15, 121)(16, 122)(17, 123)(18, 127)(19, 143)(20, 144)(21, 145)(22, 146)(23, 147)(24, 128)(25, 129)(26, 130)(27, 131)(28, 132)(29, 153)(30, 154)(31, 155)(32, 156)(33, 157)(34, 138)(35, 139)(36, 140)(37, 141)(38, 142)(39, 163)(40, 164)(41, 165)(42, 166)(43, 167)(44, 148)(45, 149)(46, 150)(47, 151)(48, 152)(49, 170)(50, 158)(51, 160)(52, 162)(53, 171)(54, 159)(55, 161)(56, 168)(57, 169)(58, 172)(59, 173)(60, 174)(61, 175)(62, 176)(63, 177)(64, 178)(65, 179)(66, 180)(67, 181)(68, 182)(69, 183)(70, 184)(71, 185)(72, 186)(73, 187)(74, 188)(75, 189)(76, 190)(77, 191)(78, 192)(79, 193)(80, 194)(81, 195)(82, 196)(83, 197)(84, 198)(85, 199)(86, 200)(87, 201)(88, 202)(89, 203)(90, 204)(91, 205)(92, 206)(93, 207)(94, 208)(95, 209)(96, 210)(97, 211)(98, 212)(99, 213)(100, 214)(101, 215)(102, 216)(103, 217)(104, 218)(105, 219)(106, 220)(107, 221)(108, 222)(109, 223)(110, 224)(111, 225)(112, 226)(113, 227)(114, 228)
	local type(s) :: { ( 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114 ) }
Outer automorphisms :: reflexible
Dual of E28.1109
Graph:: bipartite
	v = 2 e = 114 f = 58
	degree seq :: [ 114^2 ]

E28.1100 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {57, 57, 57})
Quotient :: dipole
Aut^+ = C57 (small group id <57, 2>)
Aut   = D114 (small group id <114, 5>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2^-1, Y1^-1), (Y3^-1, Y2^-1), Y2 * Y3 * Y2^-3 * Y3^-1 * Y2^2, Y1^2 * Y2 * Y1^-3 * Y3^-1 * Y2^-1, Y2^6 * Y1^-1 * Y2, Y1^4 * Y2 * Y1 * Y3^-3, Y2^-1 * Y3^4 * Y2^-1 * Y3^3 * Y2^-1 * Y3^3 * Y2^-1 * Y3^3 * Y2^-1 * Y3^3 * Y2^-1 * Y3^3 * Y2^-1 * Y3^3 * Y2^-1 * Y3^3 * Y2^-1 * Y3^3 * Y2^-1 * Y3^3 * Y2^-1, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 58, 2, 59, 6, 63, 14, 71, 26, 83, 37, 94, 23, 80, 12, 69, 5, 62, 8, 65, 16, 73, 28, 85, 40, 97, 48, 105, 38, 95, 24, 81, 13, 70, 18, 75, 30, 87, 42, 99, 50, 107, 55, 112, 49, 106, 39, 96, 25, 82, 32, 89, 44, 101, 52, 109, 56, 113, 57, 114, 53, 110, 45, 102, 33, 90, 19, 76, 31, 88, 43, 100, 51, 108, 54, 111, 46, 103, 34, 91, 20, 77, 9, 66, 17, 74, 29, 86, 41, 98, 47, 104, 35, 92, 21, 78, 10, 67, 3, 60, 7, 64, 15, 72, 27, 84, 36, 93, 22, 79, 11, 68, 4, 61)(115, 172, 117, 174, 123, 180, 133, 190, 146, 203, 132, 189, 122, 179, 116, 173, 121, 178, 131, 188, 145, 202, 158, 215, 144, 201, 130, 187, 120, 177, 129, 186, 143, 200, 157, 214, 166, 223, 156, 213, 142, 199, 128, 185, 141, 198, 155, 212, 165, 222, 170, 227, 164, 221, 154, 211, 140, 197, 150, 207, 161, 218, 168, 225, 171, 228, 169, 226, 162, 219, 151, 208, 136, 193, 149, 206, 160, 217, 167, 224, 163, 220, 152, 209, 137, 194, 125, 182, 135, 192, 148, 205, 159, 216, 153, 210, 138, 195, 126, 183, 118, 175, 124, 181, 134, 191, 147, 204, 139, 196, 127, 184, 119, 176)
	L = (1, 118)(2, 115)(3, 124)(4, 125)(5, 126)(6, 116)(7, 117)(8, 119)(9, 134)(10, 135)(11, 136)(12, 137)(13, 138)(14, 120)(15, 121)(16, 122)(17, 123)(18, 127)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 128)(27, 129)(28, 130)(29, 131)(30, 132)(31, 133)(32, 139)(33, 159)(34, 160)(35, 161)(36, 141)(37, 140)(38, 162)(39, 163)(40, 142)(41, 143)(42, 144)(43, 145)(44, 146)(45, 167)(46, 168)(47, 155)(48, 154)(49, 169)(50, 156)(51, 157)(52, 158)(53, 171)(54, 165)(55, 164)(56, 166)(57, 170)(58, 172)(59, 173)(60, 174)(61, 175)(62, 176)(63, 177)(64, 178)(65, 179)(66, 180)(67, 181)(68, 182)(69, 183)(70, 184)(71, 185)(72, 186)(73, 187)(74, 188)(75, 189)(76, 190)(77, 191)(78, 192)(79, 193)(80, 194)(81, 195)(82, 196)(83, 197)(84, 198)(85, 199)(86, 200)(87, 201)(88, 202)(89, 203)(90, 204)(91, 205)(92, 206)(93, 207)(94, 208)(95, 209)(96, 210)(97, 211)(98, 212)(99, 213)(100, 214)(101, 215)(102, 216)(103, 217)(104, 218)(105, 219)(106, 220)(107, 221)(108, 222)(109, 223)(110, 224)(111, 225)(112, 226)(113, 227)(114, 228)
	local type(s) :: { ( 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114 ) }
Outer automorphisms :: reflexible
Dual of E28.1107
Graph:: bipartite
	v = 2 e = 114 f = 58
	degree seq :: [ 114^2 ]

E28.1101 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {57, 57, 57})
Quotient :: dipole
Aut^+ = C57 (small group id <57, 2>)
Aut   = D114 (small group id <114, 5>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (Y3^-1, Y2^-1), (R * Y1)^2, (Y1^-1, Y2), (R * Y3)^2, (R * Y2)^2, Y3^2 * Y2^3 * Y1^-4, Y1 * Y2^-1 * Y1^3 * Y3^-2 * Y2^-2, Y1 * Y2^-10, Y3 * Y2^-1 * Y3 * Y2^-2 * Y3 * Y2^-4 * Y1^-2, Y1^57, Y2^-1 * Y1^-1 * Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^2 ]
Map::
	R = (1, 58, 2, 59, 6, 63, 14, 71, 26, 83, 34, 91, 19, 76, 31, 88, 44, 101, 55, 112, 52, 109, 41, 98, 46, 103, 49, 106, 38, 95, 23, 80, 12, 69, 5, 62, 8, 65, 16, 73, 28, 85, 35, 92, 20, 77, 9, 66, 17, 74, 29, 86, 43, 100, 54, 111, 53, 110, 47, 104, 57, 114, 50, 107, 39, 96, 24, 81, 13, 70, 18, 75, 30, 87, 36, 93, 21, 78, 10, 67, 3, 60, 7, 64, 15, 72, 27, 84, 42, 99, 48, 105, 33, 90, 45, 102, 56, 113, 51, 108, 40, 97, 25, 82, 32, 89, 37, 94, 22, 79, 11, 68, 4, 61)(115, 172, 117, 174, 123, 180, 133, 190, 147, 204, 161, 218, 160, 217, 146, 203, 132, 189, 122, 179, 116, 173, 121, 178, 131, 188, 145, 202, 159, 216, 171, 228, 163, 220, 151, 208, 144, 201, 130, 187, 120, 177, 129, 186, 143, 200, 158, 215, 170, 227, 164, 221, 152, 209, 136, 193, 150, 207, 142, 199, 128, 185, 141, 198, 157, 214, 169, 226, 165, 222, 153, 210, 137, 194, 125, 182, 135, 192, 149, 206, 140, 197, 156, 213, 168, 225, 166, 223, 154, 211, 138, 195, 126, 183, 118, 175, 124, 181, 134, 191, 148, 205, 162, 219, 167, 224, 155, 212, 139, 196, 127, 184, 119, 176)
	L = (1, 118)(2, 115)(3, 124)(4, 125)(5, 126)(6, 116)(7, 117)(8, 119)(9, 134)(10, 135)(11, 136)(12, 137)(13, 138)(14, 120)(15, 121)(16, 122)(17, 123)(18, 127)(19, 148)(20, 149)(21, 150)(22, 151)(23, 152)(24, 153)(25, 154)(26, 128)(27, 129)(28, 130)(29, 131)(30, 132)(31, 133)(32, 139)(33, 162)(34, 140)(35, 142)(36, 144)(37, 146)(38, 163)(39, 164)(40, 165)(41, 166)(42, 141)(43, 143)(44, 145)(45, 147)(46, 155)(47, 167)(48, 156)(49, 160)(50, 171)(51, 170)(52, 169)(53, 168)(54, 157)(55, 158)(56, 159)(57, 161)(58, 172)(59, 173)(60, 174)(61, 175)(62, 176)(63, 177)(64, 178)(65, 179)(66, 180)(67, 181)(68, 182)(69, 183)(70, 184)(71, 185)(72, 186)(73, 187)(74, 188)(75, 189)(76, 190)(77, 191)(78, 192)(79, 193)(80, 194)(81, 195)(82, 196)(83, 197)(84, 198)(85, 199)(86, 200)(87, 201)(88, 202)(89, 203)(90, 204)(91, 205)(92, 206)(93, 207)(94, 208)(95, 209)(96, 210)(97, 211)(98, 212)(99, 213)(100, 214)(101, 215)(102, 216)(103, 217)(104, 218)(105, 219)(106, 220)(107, 221)(108, 222)(109, 223)(110, 224)(111, 225)(112, 226)(113, 227)(114, 228)
	local type(s) :: { ( 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114 ) }
Outer automorphisms :: reflexible
Dual of E28.1112
Graph:: bipartite
	v = 2 e = 114 f = 58
	degree seq :: [ 114^2 ]

E28.1102 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {57, 57, 57})
Quotient :: dipole
Aut^+ = C57 (small group id <57, 2>)
Aut   = D114 (small group id <114, 5>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y2)^2, (Y3^-1, Y2^-1), (R * Y3)^2, (Y1^-1, Y2), Y2^-1 * Y1^2 * Y3 * Y2 * Y3, Y2 * Y3 * Y2 * Y3^4, Y1^4 * Y2^-2 * Y3^-1, Y2^-1 * Y3 * Y2^-10, Y3^-1 * Y2 * Y3^-2 * Y2^2 * Y3^-3 * Y2^2 * Y3^-3 * Y2^2 * Y3^-3 * Y2^2 * Y3^-3 * Y2^2 * Y3^-3 * Y2^3 * Y3 * Y2^2, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 58, 2, 59, 6, 63, 14, 71, 20, 77, 9, 66, 17, 74, 27, 84, 36, 93, 41, 98, 30, 87, 38, 95, 47, 104, 54, 111, 56, 113, 50, 107, 45, 102, 49, 106, 52, 109, 43, 100, 34, 91, 25, 82, 29, 86, 32, 89, 23, 80, 12, 69, 5, 62, 8, 65, 16, 73, 21, 78, 10, 67, 3, 60, 7, 64, 15, 72, 26, 83, 31, 88, 19, 76, 28, 85, 37, 94, 46, 103, 51, 108, 40, 97, 48, 105, 55, 112, 57, 114, 53, 110, 44, 101, 35, 92, 39, 96, 42, 99, 33, 90, 24, 81, 13, 70, 18, 75, 22, 79, 11, 68, 4, 61)(115, 172, 117, 174, 123, 180, 133, 190, 144, 201, 154, 211, 164, 221, 158, 215, 148, 205, 138, 195, 126, 183, 118, 175, 124, 181, 134, 191, 145, 202, 155, 212, 165, 222, 170, 227, 167, 224, 157, 214, 147, 204, 137, 194, 125, 182, 135, 192, 128, 185, 140, 197, 150, 207, 160, 217, 168, 225, 171, 228, 166, 223, 156, 213, 146, 203, 136, 193, 130, 187, 120, 177, 129, 186, 141, 198, 151, 208, 161, 218, 169, 226, 163, 220, 153, 210, 143, 200, 132, 189, 122, 179, 116, 173, 121, 178, 131, 188, 142, 199, 152, 209, 162, 219, 159, 216, 149, 206, 139, 196, 127, 184, 119, 176)
	L = (1, 118)(2, 115)(3, 124)(4, 125)(5, 126)(6, 116)(7, 117)(8, 119)(9, 134)(10, 135)(11, 136)(12, 137)(13, 138)(14, 120)(15, 121)(16, 122)(17, 123)(18, 127)(19, 145)(20, 128)(21, 130)(22, 132)(23, 146)(24, 147)(25, 148)(26, 129)(27, 131)(28, 133)(29, 139)(30, 155)(31, 140)(32, 143)(33, 156)(34, 157)(35, 158)(36, 141)(37, 142)(38, 144)(39, 149)(40, 165)(41, 150)(42, 153)(43, 166)(44, 167)(45, 164)(46, 151)(47, 152)(48, 154)(49, 159)(50, 170)(51, 160)(52, 163)(53, 171)(54, 161)(55, 162)(56, 168)(57, 169)(58, 172)(59, 173)(60, 174)(61, 175)(62, 176)(63, 177)(64, 178)(65, 179)(66, 180)(67, 181)(68, 182)(69, 183)(70, 184)(71, 185)(72, 186)(73, 187)(74, 188)(75, 189)(76, 190)(77, 191)(78, 192)(79, 193)(80, 194)(81, 195)(82, 196)(83, 197)(84, 198)(85, 199)(86, 200)(87, 201)(88, 202)(89, 203)(90, 204)(91, 205)(92, 206)(93, 207)(94, 208)(95, 209)(96, 210)(97, 211)(98, 212)(99, 213)(100, 214)(101, 215)(102, 216)(103, 217)(104, 218)(105, 219)(106, 220)(107, 221)(108, 222)(109, 223)(110, 224)(111, 225)(112, 226)(113, 227)(114, 228)
	local type(s) :: { ( 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114 ) }
Outer automorphisms :: reflexible
Dual of E28.1110
Graph:: bipartite
	v = 2 e = 114 f = 58
	degree seq :: [ 114^2 ]

E28.1103 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {57, 57, 57})
Quotient :: dipole
Aut^+ = C57 (small group id <57, 2>)
Aut   = D114 (small group id <114, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y3 * Y1, (Y2^-1, Y3^-1), (R * Y3)^2, (R * Y1)^2, (Y1, Y2), (R * Y2)^2, Y2^4 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2, Y3^-1 * Y1 * Y2 * Y1 * Y2^4 * Y3^-1, Y3 * Y1^-1 * Y2 * Y3^3 * Y1^-1 * Y2 * Y1^-3 * Y2, Y2^-1 * Y3 * Y1^-1 * Y3^3 * Y1^-1 * Y3^3 * Y1^-1 * Y3^3 * Y1^-1 * Y3^3 * Y1^-1 * Y3^3 * Y1^-1 * Y3^3 * Y1^-1 * Y3^3 * Y1^-1 * Y3^3 * Y1^-1 * Y3, Y1^57, (Y3 * Y2^-1)^57 ]
Map::
	R = (1, 58, 2, 59, 6, 63, 14, 71, 26, 83, 42, 99, 52, 109, 48, 105, 34, 91, 19, 76, 31, 88, 39, 96, 24, 81, 13, 70, 18, 75, 30, 87, 44, 101, 54, 111, 50, 107, 36, 93, 21, 78, 10, 67, 3, 60, 7, 64, 15, 72, 27, 84, 41, 98, 46, 103, 56, 113, 57, 114, 47, 104, 33, 90, 38, 95, 23, 80, 12, 69, 5, 62, 8, 65, 16, 73, 28, 85, 43, 100, 53, 110, 49, 106, 35, 92, 20, 77, 9, 66, 17, 74, 29, 86, 40, 97, 25, 82, 32, 89, 45, 102, 55, 112, 51, 108, 37, 94, 22, 79, 11, 68, 4, 61)(115, 172, 117, 174, 123, 180, 133, 190, 147, 204, 151, 208, 164, 221, 167, 224, 156, 213, 160, 217, 146, 203, 132, 189, 122, 179, 116, 173, 121, 178, 131, 188, 145, 202, 152, 209, 136, 193, 150, 207, 163, 220, 166, 223, 170, 227, 159, 216, 144, 201, 130, 187, 120, 177, 129, 186, 143, 200, 153, 210, 137, 194, 125, 182, 135, 192, 149, 206, 162, 219, 171, 228, 169, 226, 158, 215, 142, 199, 128, 185, 141, 198, 154, 211, 138, 195, 126, 183, 118, 175, 124, 181, 134, 191, 148, 205, 161, 218, 165, 222, 168, 225, 157, 214, 140, 197, 155, 212, 139, 196, 127, 184, 119, 176)
	L = (1, 118)(2, 115)(3, 124)(4, 125)(5, 126)(6, 116)(7, 117)(8, 119)(9, 134)(10, 135)(11, 136)(12, 137)(13, 138)(14, 120)(15, 121)(16, 122)(17, 123)(18, 127)(19, 148)(20, 149)(21, 150)(22, 151)(23, 152)(24, 153)(25, 154)(26, 128)(27, 129)(28, 130)(29, 131)(30, 132)(31, 133)(32, 139)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 147)(39, 145)(40, 143)(41, 141)(42, 140)(43, 142)(44, 144)(45, 146)(46, 155)(47, 171)(48, 166)(49, 167)(50, 168)(51, 169)(52, 156)(53, 157)(54, 158)(55, 159)(56, 160)(57, 170)(58, 172)(59, 173)(60, 174)(61, 175)(62, 176)(63, 177)(64, 178)(65, 179)(66, 180)(67, 181)(68, 182)(69, 183)(70, 184)(71, 185)(72, 186)(73, 187)(74, 188)(75, 189)(76, 190)(77, 191)(78, 192)(79, 193)(80, 194)(81, 195)(82, 196)(83, 197)(84, 198)(85, 199)(86, 200)(87, 201)(88, 202)(89, 203)(90, 204)(91, 205)(92, 206)(93, 207)(94, 208)(95, 209)(96, 210)(97, 211)(98, 212)(99, 213)(100, 214)(101, 215)(102, 216)(103, 217)(104, 218)(105, 219)(106, 220)(107, 221)(108, 222)(109, 223)(110, 224)(111, 225)(112, 226)(113, 227)(114, 228)
	local type(s) :: { ( 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114 ) }
Outer automorphisms :: reflexible
Dual of E28.1106
Graph:: bipartite
	v = 2 e = 114 f = 58
	degree seq :: [ 114^2 ]

E28.1104 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {57, 57, 57})
Quotient :: dipole
Aut^+ = C57 (small group id <57, 2>)
Aut   = D114 (small group id <114, 5>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y3)^2, (Y3^-1, Y2^-1), (R * Y1)^2, (R * Y2)^2, (Y2, Y1^-1), Y1 * Y2^-2 * Y3 * Y1^-1 * Y2^2 * Y1, Y2 * Y1 * Y2 * Y1^2 * Y3^-4, Y1^3 * Y2 * Y1 * Y2 * Y1 * Y3^-2, Y2^-1 * Y1^2 * Y2^-1 * Y1 * Y2^-2 * Y3^-1 * Y2^-3, Y2^-5 * Y1 * Y2^-1 * Y1^3 * Y2^-1, Y2^-1 * Y3 * Y2^-3 * Y3 * Y2^-5 * Y1^-1, Y3^-28 * Y1^-2 * Y2^-1 * Y1^-1, Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-1 * Y3 * Y1 * Y2^2 * Y3, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 58, 2, 59, 6, 63, 14, 71, 26, 83, 39, 96, 24, 81, 13, 70, 18, 75, 30, 87, 43, 100, 48, 105, 57, 114, 54, 111, 41, 98, 47, 104, 50, 107, 34, 91, 19, 76, 31, 88, 44, 101, 52, 109, 36, 93, 21, 78, 10, 67, 3, 60, 7, 64, 15, 72, 27, 84, 38, 95, 23, 80, 12, 69, 5, 62, 8, 65, 16, 73, 28, 85, 42, 99, 53, 110, 40, 97, 25, 82, 32, 89, 45, 102, 49, 106, 33, 90, 46, 103, 56, 113, 55, 112, 51, 108, 35, 92, 20, 77, 9, 66, 17, 74, 29, 86, 37, 94, 22, 79, 11, 68, 4, 61)(115, 172, 117, 174, 123, 180, 133, 190, 147, 204, 162, 219, 156, 213, 140, 197, 152, 209, 136, 193, 150, 207, 165, 222, 161, 218, 146, 203, 132, 189, 122, 179, 116, 173, 121, 178, 131, 188, 145, 202, 160, 217, 171, 228, 167, 224, 153, 210, 137, 194, 125, 182, 135, 192, 149, 206, 164, 221, 159, 216, 144, 201, 130, 187, 120, 177, 129, 186, 143, 200, 158, 215, 170, 227, 168, 225, 154, 211, 138, 195, 126, 183, 118, 175, 124, 181, 134, 191, 148, 205, 163, 220, 157, 214, 142, 199, 128, 185, 141, 198, 151, 208, 166, 223, 169, 226, 155, 212, 139, 196, 127, 184, 119, 176)
	L = (1, 118)(2, 115)(3, 124)(4, 125)(5, 126)(6, 116)(7, 117)(8, 119)(9, 134)(10, 135)(11, 136)(12, 137)(13, 138)(14, 120)(15, 121)(16, 122)(17, 123)(18, 127)(19, 148)(20, 149)(21, 150)(22, 151)(23, 152)(24, 153)(25, 154)(26, 128)(27, 129)(28, 130)(29, 131)(30, 132)(31, 133)(32, 139)(33, 163)(34, 164)(35, 165)(36, 166)(37, 143)(38, 141)(39, 140)(40, 167)(41, 168)(42, 142)(43, 144)(44, 145)(45, 146)(46, 147)(47, 155)(48, 157)(49, 159)(50, 161)(51, 169)(52, 158)(53, 156)(54, 171)(55, 170)(56, 160)(57, 162)(58, 172)(59, 173)(60, 174)(61, 175)(62, 176)(63, 177)(64, 178)(65, 179)(66, 180)(67, 181)(68, 182)(69, 183)(70, 184)(71, 185)(72, 186)(73, 187)(74, 188)(75, 189)(76, 190)(77, 191)(78, 192)(79, 193)(80, 194)(81, 195)(82, 196)(83, 197)(84, 198)(85, 199)(86, 200)(87, 201)(88, 202)(89, 203)(90, 204)(91, 205)(92, 206)(93, 207)(94, 208)(95, 209)(96, 210)(97, 211)(98, 212)(99, 213)(100, 214)(101, 215)(102, 216)(103, 217)(104, 218)(105, 219)(106, 220)(107, 221)(108, 222)(109, 223)(110, 224)(111, 225)(112, 226)(113, 227)(114, 228)
	local type(s) :: { ( 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114 ) }
Outer automorphisms :: reflexible
Dual of E28.1108
Graph:: bipartite
	v = 2 e = 114 f = 58
	degree seq :: [ 114^2 ]

E28.1105 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {57, 57, 57})
Quotient :: dipole
Aut^+ = C57 (small group id <57, 2>)
Aut   = D114 (small group id <114, 5>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2 * Y3, (R * Y1)^2, (R * Y3)^2, Y2^57, (Y3 * Y2^-1)^57, (Y3^-1 * Y1^-1)^57 ]
Map::
	R = (1, 58)(2, 59)(3, 60)(4, 61)(5, 62)(6, 63)(7, 64)(8, 65)(9, 66)(10, 67)(11, 68)(12, 69)(13, 70)(14, 71)(15, 72)(16, 73)(17, 74)(18, 75)(19, 76)(20, 77)(21, 78)(22, 79)(23, 80)(24, 81)(25, 82)(26, 83)(27, 84)(28, 85)(29, 86)(30, 87)(31, 88)(32, 89)(33, 90)(34, 91)(35, 92)(36, 93)(37, 94)(38, 95)(39, 96)(40, 97)(41, 98)(42, 99)(43, 100)(44, 101)(45, 102)(46, 103)(47, 104)(48, 105)(49, 106)(50, 107)(51, 108)(52, 109)(53, 110)(54, 111)(55, 112)(56, 113)(57, 114)(115, 172, 116, 173, 118, 175, 120, 177, 122, 179, 124, 181, 126, 183, 128, 185, 130, 187, 131, 188, 132, 189, 133, 190, 134, 191, 135, 192, 136, 193, 137, 194, 139, 196, 140, 197, 141, 198, 142, 199, 143, 200, 144, 201, 145, 202, 146, 203, 149, 206, 150, 207, 151, 208, 152, 209, 153, 210, 154, 211, 155, 212, 156, 213, 161, 218, 160, 217, 162, 219, 163, 220, 164, 221, 165, 222, 166, 223, 167, 224, 158, 215, 148, 205, 159, 216, 169, 226, 170, 227, 171, 228, 168, 225, 157, 214, 147, 204, 138, 195, 129, 186, 127, 184, 125, 182, 123, 180, 121, 178, 119, 176, 117, 174)
	L = (1, 117)(2, 115)(3, 119)(4, 116)(5, 121)(6, 118)(7, 123)(8, 120)(9, 125)(10, 122)(11, 127)(12, 124)(13, 129)(14, 126)(15, 138)(16, 128)(17, 130)(18, 131)(19, 132)(20, 133)(21, 134)(22, 135)(23, 136)(24, 147)(25, 137)(26, 139)(27, 140)(28, 141)(29, 142)(30, 143)(31, 144)(32, 145)(33, 157)(34, 158)(35, 146)(36, 149)(37, 150)(38, 151)(39, 152)(40, 153)(41, 154)(42, 155)(43, 168)(44, 167)(45, 148)(46, 161)(47, 156)(48, 160)(49, 162)(50, 163)(51, 164)(52, 165)(53, 166)(54, 171)(55, 159)(56, 169)(57, 170)(58, 172)(59, 173)(60, 174)(61, 175)(62, 176)(63, 177)(64, 178)(65, 179)(66, 180)(67, 181)(68, 182)(69, 183)(70, 184)(71, 185)(72, 186)(73, 187)(74, 188)(75, 189)(76, 190)(77, 191)(78, 192)(79, 193)(80, 194)(81, 195)(82, 196)(83, 197)(84, 198)(85, 199)(86, 200)(87, 201)(88, 202)(89, 203)(90, 204)(91, 205)(92, 206)(93, 207)(94, 208)(95, 209)(96, 210)(97, 211)(98, 212)(99, 213)(100, 214)(101, 215)(102, 216)(103, 217)(104, 218)(105, 219)(106, 220)(107, 221)(108, 222)(109, 223)(110, 224)(111, 225)(112, 226)(113, 227)(114, 228)
	local type(s) :: { ( 114, 114 ), ( 114^114 ) }
Outer automorphisms :: reflexible
Dual of E28.1097
Graph:: bipartite
	v = 58 e = 114 f = 2
	degree seq :: [ 2^57, 114 ]

E28.1106 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {57, 57, 57})
Quotient :: dipole
Aut^+ = C57 (small group id <57, 2>)
Aut   = D114 (small group id <114, 5>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3, Y2^-1), Y3 * Y2^4, Y3^-1 * Y2 * Y3^-13, (Y2^-1 * Y3)^57, (Y3^-1 * Y1^-1)^57 ]
Map::
	R = (1, 58)(2, 59)(3, 60)(4, 61)(5, 62)(6, 63)(7, 64)(8, 65)(9, 66)(10, 67)(11, 68)(12, 69)(13, 70)(14, 71)(15, 72)(16, 73)(17, 74)(18, 75)(19, 76)(20, 77)(21, 78)(22, 79)(23, 80)(24, 81)(25, 82)(26, 83)(27, 84)(28, 85)(29, 86)(30, 87)(31, 88)(32, 89)(33, 90)(34, 91)(35, 92)(36, 93)(37, 94)(38, 95)(39, 96)(40, 97)(41, 98)(42, 99)(43, 100)(44, 101)(45, 102)(46, 103)(47, 104)(48, 105)(49, 106)(50, 107)(51, 108)(52, 109)(53, 110)(54, 111)(55, 112)(56, 113)(57, 114)(115, 172, 116, 173, 120, 177, 126, 183, 119, 176, 122, 179, 128, 185, 134, 191, 127, 184, 130, 187, 136, 193, 142, 199, 135, 192, 138, 195, 144, 201, 150, 207, 143, 200, 146, 203, 152, 209, 158, 215, 151, 208, 154, 211, 160, 217, 166, 223, 159, 216, 162, 219, 168, 225, 171, 228, 167, 224, 163, 220, 169, 226, 170, 227, 164, 221, 155, 212, 161, 218, 165, 222, 156, 213, 147, 204, 153, 210, 157, 214, 148, 205, 139, 196, 145, 202, 149, 206, 140, 197, 131, 188, 137, 194, 141, 198, 132, 189, 123, 180, 129, 186, 133, 190, 124, 181, 117, 174, 121, 178, 125, 182, 118, 175)
	L = (1, 117)(2, 121)(3, 123)(4, 124)(5, 115)(6, 125)(7, 129)(8, 116)(9, 131)(10, 132)(11, 133)(12, 118)(13, 119)(14, 120)(15, 137)(16, 122)(17, 139)(18, 140)(19, 141)(20, 126)(21, 127)(22, 128)(23, 145)(24, 130)(25, 147)(26, 148)(27, 149)(28, 134)(29, 135)(30, 136)(31, 153)(32, 138)(33, 155)(34, 156)(35, 157)(36, 142)(37, 143)(38, 144)(39, 161)(40, 146)(41, 163)(42, 164)(43, 165)(44, 150)(45, 151)(46, 152)(47, 169)(48, 154)(49, 162)(50, 167)(51, 170)(52, 158)(53, 159)(54, 160)(55, 168)(56, 171)(57, 166)(58, 172)(59, 173)(60, 174)(61, 175)(62, 176)(63, 177)(64, 178)(65, 179)(66, 180)(67, 181)(68, 182)(69, 183)(70, 184)(71, 185)(72, 186)(73, 187)(74, 188)(75, 189)(76, 190)(77, 191)(78, 192)(79, 193)(80, 194)(81, 195)(82, 196)(83, 197)(84, 198)(85, 199)(86, 200)(87, 201)(88, 202)(89, 203)(90, 204)(91, 205)(92, 206)(93, 207)(94, 208)(95, 209)(96, 210)(97, 211)(98, 212)(99, 213)(100, 214)(101, 215)(102, 216)(103, 217)(104, 218)(105, 219)(106, 220)(107, 221)(108, 222)(109, 223)(110, 224)(111, 225)(112, 226)(113, 227)(114, 228)
	local type(s) :: { ( 114, 114 ), ( 114^114 ) }
Outer automorphisms :: reflexible
Dual of E28.1103
Graph:: bipartite
	v = 58 e = 114 f = 2
	degree seq :: [ 2^57, 114 ]

E28.1107 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {57, 57, 57})
Quotient :: dipole
Aut^+ = C57 (small group id <57, 2>)
Aut   = D114 (small group id <114, 5>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2, Y3^-1), Y3^2 * Y2^-2 * Y3^-2 * Y2^2, Y3 * Y2^3 * Y3^-1 * Y2^-3, Y2^-1 * Y3^-1 * Y2^-6, Y3^3 * Y2^-1 * Y3^5, Y2^-3 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^3, (Y3^-1 * Y1^-1)^57 ]
Map::
	R = (1, 58)(2, 59)(3, 60)(4, 61)(5, 62)(6, 63)(7, 64)(8, 65)(9, 66)(10, 67)(11, 68)(12, 69)(13, 70)(14, 71)(15, 72)(16, 73)(17, 74)(18, 75)(19, 76)(20, 77)(21, 78)(22, 79)(23, 80)(24, 81)(25, 82)(26, 83)(27, 84)(28, 85)(29, 86)(30, 87)(31, 88)(32, 89)(33, 90)(34, 91)(35, 92)(36, 93)(37, 94)(38, 95)(39, 96)(40, 97)(41, 98)(42, 99)(43, 100)(44, 101)(45, 102)(46, 103)(47, 104)(48, 105)(49, 106)(50, 107)(51, 108)(52, 109)(53, 110)(54, 111)(55, 112)(56, 113)(57, 114)(115, 172, 116, 173, 120, 177, 128, 185, 140, 197, 137, 194, 126, 183, 119, 176, 122, 179, 130, 187, 142, 199, 154, 211, 151, 208, 138, 195, 127, 184, 132, 189, 144, 201, 156, 213, 164, 221, 162, 219, 152, 209, 139, 196, 146, 203, 158, 215, 166, 223, 170, 227, 169, 226, 163, 220, 153, 210, 147, 204, 159, 216, 167, 224, 171, 228, 168, 225, 160, 217, 148, 205, 133, 190, 145, 202, 157, 214, 165, 222, 161, 218, 149, 206, 134, 191, 123, 180, 131, 188, 143, 200, 155, 212, 150, 207, 135, 192, 124, 181, 117, 174, 121, 178, 129, 186, 141, 198, 136, 193, 125, 182, 118, 175)
	L = (1, 117)(2, 121)(3, 123)(4, 124)(5, 115)(6, 129)(7, 131)(8, 116)(9, 133)(10, 134)(11, 135)(12, 118)(13, 119)(14, 141)(15, 143)(16, 120)(17, 145)(18, 122)(19, 147)(20, 148)(21, 149)(22, 150)(23, 125)(24, 126)(25, 127)(26, 136)(27, 155)(28, 128)(29, 157)(30, 130)(31, 159)(32, 132)(33, 146)(34, 153)(35, 160)(36, 161)(37, 137)(38, 138)(39, 139)(40, 140)(41, 165)(42, 142)(43, 167)(44, 144)(45, 158)(46, 163)(47, 168)(48, 151)(49, 152)(50, 154)(51, 171)(52, 156)(53, 166)(54, 169)(55, 162)(56, 164)(57, 170)(58, 172)(59, 173)(60, 174)(61, 175)(62, 176)(63, 177)(64, 178)(65, 179)(66, 180)(67, 181)(68, 182)(69, 183)(70, 184)(71, 185)(72, 186)(73, 187)(74, 188)(75, 189)(76, 190)(77, 191)(78, 192)(79, 193)(80, 194)(81, 195)(82, 196)(83, 197)(84, 198)(85, 199)(86, 200)(87, 201)(88, 202)(89, 203)(90, 204)(91, 205)(92, 206)(93, 207)(94, 208)(95, 209)(96, 210)(97, 211)(98, 212)(99, 213)(100, 214)(101, 215)(102, 216)(103, 217)(104, 218)(105, 219)(106, 220)(107, 221)(108, 222)(109, 223)(110, 224)(111, 225)(112, 226)(113, 227)(114, 228)
	local type(s) :: { ( 114, 114 ), ( 114^114 ) }
Outer automorphisms :: reflexible
Dual of E28.1100
Graph:: bipartite
	v = 58 e = 114 f = 2
	degree seq :: [ 2^57, 114 ]

E28.1108 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {57, 57, 57})
Quotient :: dipole
Aut^+ = C57 (small group id <57, 2>)
Aut   = D114 (small group id <114, 5>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y2^-1), Y3^3 * Y2 * Y3^3 * Y2^2, Y2^4 * Y3 * Y2^6, Y2^2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^2 * Y3^-1 * Y2 * Y3^-1, Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-3 * Y3, (Y3^-1 * Y1^-1)^57 ]
Map::
	R = (1, 58)(2, 59)(3, 60)(4, 61)(5, 62)(6, 63)(7, 64)(8, 65)(9, 66)(10, 67)(11, 68)(12, 69)(13, 70)(14, 71)(15, 72)(16, 73)(17, 74)(18, 75)(19, 76)(20, 77)(21, 78)(22, 79)(23, 80)(24, 81)(25, 82)(26, 83)(27, 84)(28, 85)(29, 86)(30, 87)(31, 88)(32, 89)(33, 90)(34, 91)(35, 92)(36, 93)(37, 94)(38, 95)(39, 96)(40, 97)(41, 98)(42, 99)(43, 100)(44, 101)(45, 102)(46, 103)(47, 104)(48, 105)(49, 106)(50, 107)(51, 108)(52, 109)(53, 110)(54, 111)(55, 112)(56, 113)(57, 114)(115, 172, 116, 173, 120, 177, 128, 185, 140, 197, 156, 213, 167, 224, 152, 209, 137, 194, 126, 183, 119, 176, 122, 179, 130, 187, 142, 199, 158, 215, 168, 225, 162, 219, 147, 204, 153, 210, 138, 195, 127, 184, 132, 189, 144, 201, 159, 216, 169, 226, 163, 220, 148, 205, 133, 190, 145, 202, 154, 211, 139, 196, 146, 203, 160, 217, 170, 227, 164, 221, 149, 206, 134, 191, 123, 180, 131, 188, 143, 200, 155, 212, 161, 218, 171, 228, 165, 222, 150, 207, 135, 192, 124, 181, 117, 174, 121, 178, 129, 186, 141, 198, 157, 214, 166, 223, 151, 208, 136, 193, 125, 182, 118, 175)
	L = (1, 117)(2, 121)(3, 123)(4, 124)(5, 115)(6, 129)(7, 131)(8, 116)(9, 133)(10, 134)(11, 135)(12, 118)(13, 119)(14, 141)(15, 143)(16, 120)(17, 145)(18, 122)(19, 147)(20, 148)(21, 149)(22, 150)(23, 125)(24, 126)(25, 127)(26, 157)(27, 155)(28, 128)(29, 154)(30, 130)(31, 153)(32, 132)(33, 152)(34, 162)(35, 163)(36, 164)(37, 165)(38, 136)(39, 137)(40, 138)(41, 139)(42, 166)(43, 161)(44, 140)(45, 142)(46, 144)(47, 146)(48, 167)(49, 168)(50, 169)(51, 170)(52, 171)(53, 151)(54, 156)(55, 158)(56, 159)(57, 160)(58, 172)(59, 173)(60, 174)(61, 175)(62, 176)(63, 177)(64, 178)(65, 179)(66, 180)(67, 181)(68, 182)(69, 183)(70, 184)(71, 185)(72, 186)(73, 187)(74, 188)(75, 189)(76, 190)(77, 191)(78, 192)(79, 193)(80, 194)(81, 195)(82, 196)(83, 197)(84, 198)(85, 199)(86, 200)(87, 201)(88, 202)(89, 203)(90, 204)(91, 205)(92, 206)(93, 207)(94, 208)(95, 209)(96, 210)(97, 211)(98, 212)(99, 213)(100, 214)(101, 215)(102, 216)(103, 217)(104, 218)(105, 219)(106, 220)(107, 221)(108, 222)(109, 223)(110, 224)(111, 225)(112, 226)(113, 227)(114, 228)
	local type(s) :: { ( 114, 114 ), ( 114^114 ) }
Outer automorphisms :: reflexible
Dual of E28.1104
Graph:: bipartite
	v = 58 e = 114 f = 2
	degree seq :: [ 2^57, 114 ]

E28.1109 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {57, 57, 57})
Quotient :: dipole
Aut^+ = C57 (small group id <57, 2>)
Aut   = D114 (small group id <114, 5>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y2^-1, Y3^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2^4 * Y3^-1 * Y2 * Y3^-3, Y3^-1 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-6 * Y2^-1, Y2^-2 * Y3^25 * Y2^-1 * Y3 * Y2^-1, Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^3 * Y3^-1, (Y3^-1 * Y1^-1)^57 ]
Map::
	R = (1, 58)(2, 59)(3, 60)(4, 61)(5, 62)(6, 63)(7, 64)(8, 65)(9, 66)(10, 67)(11, 68)(12, 69)(13, 70)(14, 71)(15, 72)(16, 73)(17, 74)(18, 75)(19, 76)(20, 77)(21, 78)(22, 79)(23, 80)(24, 81)(25, 82)(26, 83)(27, 84)(28, 85)(29, 86)(30, 87)(31, 88)(32, 89)(33, 90)(34, 91)(35, 92)(36, 93)(37, 94)(38, 95)(39, 96)(40, 97)(41, 98)(42, 99)(43, 100)(44, 101)(45, 102)(46, 103)(47, 104)(48, 105)(49, 106)(50, 107)(51, 108)(52, 109)(53, 110)(54, 111)(55, 112)(56, 113)(57, 114)(115, 172, 116, 173, 120, 177, 128, 185, 140, 197, 147, 204, 159, 216, 168, 225, 165, 222, 161, 218, 152, 209, 137, 194, 126, 183, 119, 176, 122, 179, 130, 187, 142, 199, 148, 205, 133, 190, 145, 202, 158, 215, 167, 224, 171, 228, 162, 219, 153, 210, 138, 195, 127, 184, 132, 189, 144, 201, 149, 206, 134, 191, 123, 180, 131, 188, 143, 200, 157, 214, 166, 223, 170, 227, 163, 220, 154, 211, 139, 196, 146, 203, 150, 207, 135, 192, 124, 181, 117, 174, 121, 178, 129, 186, 141, 198, 156, 213, 160, 217, 169, 226, 164, 221, 155, 212, 151, 208, 136, 193, 125, 182, 118, 175)
	L = (1, 117)(2, 121)(3, 123)(4, 124)(5, 115)(6, 129)(7, 131)(8, 116)(9, 133)(10, 134)(11, 135)(12, 118)(13, 119)(14, 141)(15, 143)(16, 120)(17, 145)(18, 122)(19, 147)(20, 148)(21, 149)(22, 150)(23, 125)(24, 126)(25, 127)(26, 156)(27, 157)(28, 128)(29, 158)(30, 130)(31, 159)(32, 132)(33, 160)(34, 140)(35, 142)(36, 144)(37, 146)(38, 136)(39, 137)(40, 138)(41, 139)(42, 166)(43, 167)(44, 168)(45, 169)(46, 170)(47, 151)(48, 152)(49, 153)(50, 154)(51, 155)(52, 171)(53, 165)(54, 164)(55, 163)(56, 162)(57, 161)(58, 172)(59, 173)(60, 174)(61, 175)(62, 176)(63, 177)(64, 178)(65, 179)(66, 180)(67, 181)(68, 182)(69, 183)(70, 184)(71, 185)(72, 186)(73, 187)(74, 188)(75, 189)(76, 190)(77, 191)(78, 192)(79, 193)(80, 194)(81, 195)(82, 196)(83, 197)(84, 198)(85, 199)(86, 200)(87, 201)(88, 202)(89, 203)(90, 204)(91, 205)(92, 206)(93, 207)(94, 208)(95, 209)(96, 210)(97, 211)(98, 212)(99, 213)(100, 214)(101, 215)(102, 216)(103, 217)(104, 218)(105, 219)(106, 220)(107, 221)(108, 222)(109, 223)(110, 224)(111, 225)(112, 226)(113, 227)(114, 228)
	local type(s) :: { ( 114, 114 ), ( 114^114 ) }
Outer automorphisms :: reflexible
Dual of E28.1099
Graph:: bipartite
	v = 58 e = 114 f = 2
	degree seq :: [ 2^57, 114 ]

E28.1110 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {57, 57, 57})
Quotient :: dipole
Aut^+ = C57 (small group id <57, 2>)
Aut   = D114 (small group id <114, 5>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3^4, Y3^-2 * Y2^-1 * Y3^-1 * Y2^-6 * Y3^-1, Y3 * Y2^-1 * Y3 * Y2^-3 * Y3 * Y2^-5, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^2 * Y2^3 * Y3, (Y3^-1 * Y1^-1)^57 ]
Map::
	R = (1, 58)(2, 59)(3, 60)(4, 61)(5, 62)(6, 63)(7, 64)(8, 65)(9, 66)(10, 67)(11, 68)(12, 69)(13, 70)(14, 71)(15, 72)(16, 73)(17, 74)(18, 75)(19, 76)(20, 77)(21, 78)(22, 79)(23, 80)(24, 81)(25, 82)(26, 83)(27, 84)(28, 85)(29, 86)(30, 87)(31, 88)(32, 89)(33, 90)(34, 91)(35, 92)(36, 93)(37, 94)(38, 95)(39, 96)(40, 97)(41, 98)(42, 99)(43, 100)(44, 101)(45, 102)(46, 103)(47, 104)(48, 105)(49, 106)(50, 107)(51, 108)(52, 109)(53, 110)(54, 111)(55, 112)(56, 113)(57, 114)(115, 172, 116, 173, 120, 177, 128, 185, 140, 197, 156, 213, 169, 226, 155, 212, 148, 205, 133, 190, 145, 202, 161, 218, 166, 223, 152, 209, 137, 194, 126, 183, 119, 176, 122, 179, 130, 187, 142, 199, 158, 215, 170, 227, 163, 220, 149, 206, 134, 191, 123, 180, 131, 188, 143, 200, 159, 216, 167, 224, 153, 210, 138, 195, 127, 184, 132, 189, 144, 201, 160, 217, 171, 228, 164, 221, 150, 207, 135, 192, 124, 181, 117, 174, 121, 178, 129, 186, 141, 198, 157, 214, 168, 225, 154, 211, 139, 196, 146, 203, 147, 204, 162, 219, 165, 222, 151, 208, 136, 193, 125, 182, 118, 175)
	L = (1, 117)(2, 121)(3, 123)(4, 124)(5, 115)(6, 129)(7, 131)(8, 116)(9, 133)(10, 134)(11, 135)(12, 118)(13, 119)(14, 141)(15, 143)(16, 120)(17, 145)(18, 122)(19, 147)(20, 148)(21, 149)(22, 150)(23, 125)(24, 126)(25, 127)(26, 157)(27, 159)(28, 128)(29, 161)(30, 130)(31, 162)(32, 132)(33, 144)(34, 146)(35, 155)(36, 163)(37, 164)(38, 136)(39, 137)(40, 138)(41, 139)(42, 168)(43, 167)(44, 140)(45, 166)(46, 142)(47, 165)(48, 160)(49, 169)(50, 170)(51, 171)(52, 151)(53, 152)(54, 153)(55, 154)(56, 156)(57, 158)(58, 172)(59, 173)(60, 174)(61, 175)(62, 176)(63, 177)(64, 178)(65, 179)(66, 180)(67, 181)(68, 182)(69, 183)(70, 184)(71, 185)(72, 186)(73, 187)(74, 188)(75, 189)(76, 190)(77, 191)(78, 192)(79, 193)(80, 194)(81, 195)(82, 196)(83, 197)(84, 198)(85, 199)(86, 200)(87, 201)(88, 202)(89, 203)(90, 204)(91, 205)(92, 206)(93, 207)(94, 208)(95, 209)(96, 210)(97, 211)(98, 212)(99, 213)(100, 214)(101, 215)(102, 216)(103, 217)(104, 218)(105, 219)(106, 220)(107, 221)(108, 222)(109, 223)(110, 224)(111, 225)(112, 226)(113, 227)(114, 228)
	local type(s) :: { ( 114, 114 ), ( 114^114 ) }
Outer automorphisms :: reflexible
Dual of E28.1102
Graph:: bipartite
	v = 58 e = 114 f = 2
	degree seq :: [ 2^57, 114 ]

E28.1111 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {57, 57, 57})
Quotient :: dipole
Aut^+ = C57 (small group id <57, 2>)
Aut   = D114 (small group id <114, 5>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (Y3, Y2), (R * Y3)^2, (R * Y2)^2, Y3^-3 * Y2^3 * Y3^-2 * Y2, Y2^-3 * Y3^-1 * Y2^-2 * Y3^-2 * Y2^-4, Y3^-1 * Y2^-1 * Y3^-4 * Y2^-1 * Y3^-3 * Y2^-1 * Y3^-3 * Y2^-1 * Y3^-3 * Y2^-1 * Y3^-3 * Y2^-1 * Y3^-4, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^57 ]
Map::
	R = (1, 58)(2, 59)(3, 60)(4, 61)(5, 62)(6, 63)(7, 64)(8, 65)(9, 66)(10, 67)(11, 68)(12, 69)(13, 70)(14, 71)(15, 72)(16, 73)(17, 74)(18, 75)(19, 76)(20, 77)(21, 78)(22, 79)(23, 80)(24, 81)(25, 82)(26, 83)(27, 84)(28, 85)(29, 86)(30, 87)(31, 88)(32, 89)(33, 90)(34, 91)(35, 92)(36, 93)(37, 94)(38, 95)(39, 96)(40, 97)(41, 98)(42, 99)(43, 100)(44, 101)(45, 102)(46, 103)(47, 104)(48, 105)(49, 106)(50, 107)(51, 108)(52, 109)(53, 110)(54, 111)(55, 112)(56, 113)(57, 114)(115, 172, 116, 173, 120, 177, 128, 185, 140, 197, 156, 213, 166, 223, 164, 221, 154, 211, 139, 196, 146, 203, 149, 206, 134, 191, 123, 180, 131, 188, 143, 200, 158, 215, 168, 225, 162, 219, 152, 209, 137, 194, 126, 183, 119, 176, 122, 179, 130, 187, 142, 199, 147, 204, 160, 217, 170, 227, 171, 228, 165, 222, 155, 212, 150, 207, 135, 192, 124, 181, 117, 174, 121, 178, 129, 186, 141, 198, 157, 214, 167, 224, 163, 220, 153, 210, 138, 195, 127, 184, 132, 189, 144, 201, 148, 205, 133, 190, 145, 202, 159, 216, 169, 226, 161, 218, 151, 208, 136, 193, 125, 182, 118, 175)
	L = (1, 117)(2, 121)(3, 123)(4, 124)(5, 115)(6, 129)(7, 131)(8, 116)(9, 133)(10, 134)(11, 135)(12, 118)(13, 119)(14, 141)(15, 143)(16, 120)(17, 145)(18, 122)(19, 147)(20, 148)(21, 149)(22, 150)(23, 125)(24, 126)(25, 127)(26, 157)(27, 158)(28, 128)(29, 159)(30, 130)(31, 160)(32, 132)(33, 140)(34, 142)(35, 144)(36, 146)(37, 155)(38, 136)(39, 137)(40, 138)(41, 139)(42, 167)(43, 168)(44, 169)(45, 170)(46, 156)(47, 165)(48, 151)(49, 152)(50, 153)(51, 154)(52, 163)(53, 162)(54, 161)(55, 171)(56, 166)(57, 164)(58, 172)(59, 173)(60, 174)(61, 175)(62, 176)(63, 177)(64, 178)(65, 179)(66, 180)(67, 181)(68, 182)(69, 183)(70, 184)(71, 185)(72, 186)(73, 187)(74, 188)(75, 189)(76, 190)(77, 191)(78, 192)(79, 193)(80, 194)(81, 195)(82, 196)(83, 197)(84, 198)(85, 199)(86, 200)(87, 201)(88, 202)(89, 203)(90, 204)(91, 205)(92, 206)(93, 207)(94, 208)(95, 209)(96, 210)(97, 211)(98, 212)(99, 213)(100, 214)(101, 215)(102, 216)(103, 217)(104, 218)(105, 219)(106, 220)(107, 221)(108, 222)(109, 223)(110, 224)(111, 225)(112, 226)(113, 227)(114, 228)
	local type(s) :: { ( 114, 114 ), ( 114^114 ) }
Outer automorphisms :: reflexible
Dual of E28.1098
Graph:: bipartite
	v = 58 e = 114 f = 2
	degree seq :: [ 2^57, 114 ]

E28.1112 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {57, 57, 57})
Quotient :: dipole
Aut^+ = C57 (small group id <57, 2>)
Aut   = D114 (small group id <114, 5>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2, Y3^-1), Y3 * Y2^-1 * Y3 * Y2^-6, Y2 * Y3 * Y2 * Y3^6 * Y2^2, Y3^4 * Y2^-1 * Y3^5 * Y2^-2, Y3^2 * Y2^4 * Y3 * Y2^4 * Y3 * Y2^4 * Y3 * Y2^4 * Y3 * Y2^4 * Y3 * Y2^4 * Y3 * Y2^4 * Y3 * Y2^4 * Y3 * Y2^4 * Y3 * Y2^4 * Y3 * Y2^4 * Y3 * Y2^4 * Y3 * Y2^4 * Y3 * Y2^4 * Y3 * Y2^4 * Y3 * Y2^4 * Y3 * Y2^4 * Y3^2 * Y2^-1 * Y3 * Y2^2, (Y3^-1 * Y1^-1)^57 ]
Map::
	R = (1, 58)(2, 59)(3, 60)(4, 61)(5, 62)(6, 63)(7, 64)(8, 65)(9, 66)(10, 67)(11, 68)(12, 69)(13, 70)(14, 71)(15, 72)(16, 73)(17, 74)(18, 75)(19, 76)(20, 77)(21, 78)(22, 79)(23, 80)(24, 81)(25, 82)(26, 83)(27, 84)(28, 85)(29, 86)(30, 87)(31, 88)(32, 89)(33, 90)(34, 91)(35, 92)(36, 93)(37, 94)(38, 95)(39, 96)(40, 97)(41, 98)(42, 99)(43, 100)(44, 101)(45, 102)(46, 103)(47, 104)(48, 105)(49, 106)(50, 107)(51, 108)(52, 109)(53, 110)(54, 111)(55, 112)(56, 113)(57, 114)(115, 172, 116, 173, 120, 177, 128, 185, 140, 197, 149, 206, 134, 191, 123, 180, 131, 188, 143, 200, 157, 214, 169, 226, 171, 228, 163, 220, 147, 204, 160, 217, 167, 224, 154, 211, 139, 196, 146, 203, 159, 216, 165, 222, 152, 209, 137, 194, 126, 183, 119, 176, 122, 179, 130, 187, 142, 199, 150, 207, 135, 192, 124, 181, 117, 174, 121, 178, 129, 186, 141, 198, 156, 213, 164, 221, 148, 205, 133, 190, 145, 202, 158, 215, 168, 225, 155, 212, 161, 218, 170, 227, 162, 219, 166, 223, 153, 210, 138, 195, 127, 184, 132, 189, 144, 201, 151, 208, 136, 193, 125, 182, 118, 175)
	L = (1, 117)(2, 121)(3, 123)(4, 124)(5, 115)(6, 129)(7, 131)(8, 116)(9, 133)(10, 134)(11, 135)(12, 118)(13, 119)(14, 141)(15, 143)(16, 120)(17, 145)(18, 122)(19, 147)(20, 148)(21, 149)(22, 150)(23, 125)(24, 126)(25, 127)(26, 156)(27, 157)(28, 128)(29, 158)(30, 130)(31, 160)(32, 132)(33, 162)(34, 163)(35, 164)(36, 140)(37, 142)(38, 136)(39, 137)(40, 138)(41, 139)(42, 169)(43, 168)(44, 167)(45, 144)(46, 166)(47, 146)(48, 165)(49, 170)(50, 171)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 159)(57, 161)(58, 172)(59, 173)(60, 174)(61, 175)(62, 176)(63, 177)(64, 178)(65, 179)(66, 180)(67, 181)(68, 182)(69, 183)(70, 184)(71, 185)(72, 186)(73, 187)(74, 188)(75, 189)(76, 190)(77, 191)(78, 192)(79, 193)(80, 194)(81, 195)(82, 196)(83, 197)(84, 198)(85, 199)(86, 200)(87, 201)(88, 202)(89, 203)(90, 204)(91, 205)(92, 206)(93, 207)(94, 208)(95, 209)(96, 210)(97, 211)(98, 212)(99, 213)(100, 214)(101, 215)(102, 216)(103, 217)(104, 218)(105, 219)(106, 220)(107, 221)(108, 222)(109, 223)(110, 224)(111, 225)(112, 226)(113, 227)(114, 228)
	local type(s) :: { ( 114, 114 ), ( 114^114 ) }
Outer automorphisms :: reflexible
Dual of E28.1101
Graph:: bipartite
	v = 58 e = 114 f = 2
	degree seq :: [ 2^57, 114 ]

E28.1113 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 29, 29})
Quotient :: halfedge^2
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y2 * Y3, Y1^-1 * Y3 * Y1^-1 * Y2, (R * Y1)^2, R * Y3 * R * Y2, Y1^29 ]
Map::
	R = (1, 60, 2, 63, 5, 67, 9, 71, 13, 75, 17, 79, 21, 83, 25, 99, 41, 103, 45, 105, 47, 107, 49, 109, 51, 111, 53, 114, 56, 115, 57, 102, 44, 98, 40, 96, 38, 94, 36, 92, 34, 90, 32, 86, 28, 82, 24, 78, 20, 74, 16, 70, 12, 66, 8, 62, 4, 59)(3, 65, 7, 69, 11, 73, 15, 77, 19, 81, 23, 85, 27, 101, 43, 104, 46, 106, 48, 108, 50, 110, 52, 112, 54, 116, 58, 113, 55, 100, 42, 97, 39, 95, 37, 93, 35, 91, 33, 89, 31, 88, 30, 87, 29, 84, 26, 80, 22, 76, 18, 72, 14, 68, 10, 64, 6, 61)
	L = (1, 3)(2, 6)(4, 7)(5, 10)(8, 11)(9, 14)(12, 15)(13, 18)(16, 19)(17, 22)(20, 23)(21, 26)(24, 27)(25, 29)(28, 43)(30, 41)(31, 45)(32, 46)(33, 47)(34, 48)(35, 49)(36, 50)(37, 51)(38, 52)(39, 53)(40, 54)(42, 56)(44, 58)(55, 57)(59, 61)(60, 64)(62, 65)(63, 68)(66, 69)(67, 72)(70, 73)(71, 76)(74, 77)(75, 80)(78, 81)(79, 84)(82, 85)(83, 87)(86, 101)(88, 99)(89, 103)(90, 104)(91, 105)(92, 106)(93, 107)(94, 108)(95, 109)(96, 110)(97, 111)(98, 112)(100, 114)(102, 116)(113, 115)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.1114 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 29, 29})
Quotient :: halfedge^2
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y1)^2, R * Y3 * R * Y2, (R * Y1)^2, (Y2 * Y1)^2, Y1 * Y2 * Y1^-2 * Y3 * Y1, Y3 * Y1^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2, Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 60, 2, 64, 6, 72, 14, 70, 12, 76, 18, 82, 24, 89, 31, 88, 30, 92, 34, 98, 40, 105, 47, 104, 46, 108, 50, 114, 56, 116, 58, 110, 52, 103, 45, 107, 49, 101, 43, 94, 36, 87, 29, 91, 33, 85, 27, 78, 20, 68, 10, 75, 17, 71, 13, 63, 5, 59)(3, 67, 9, 77, 19, 83, 25, 79, 21, 86, 28, 93, 35, 99, 41, 95, 37, 102, 44, 109, 51, 115, 57, 111, 53, 112, 54, 113, 55, 106, 48, 100, 42, 96, 38, 97, 39, 90, 32, 84, 26, 80, 22, 81, 23, 74, 16, 66, 8, 62, 4, 69, 11, 73, 15, 65, 7, 61)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 14)(13, 19)(16, 24)(17, 25)(20, 28)(22, 30)(23, 31)(26, 34)(27, 35)(29, 37)(32, 40)(33, 41)(36, 44)(38, 46)(39, 47)(42, 50)(43, 51)(45, 53)(48, 56)(49, 57)(52, 54)(55, 58)(59, 62)(60, 66)(61, 68)(63, 69)(64, 74)(65, 75)(67, 78)(70, 80)(71, 73)(72, 81)(76, 84)(77, 85)(79, 87)(82, 90)(83, 91)(86, 94)(88, 96)(89, 97)(92, 100)(93, 101)(95, 103)(98, 106)(99, 107)(102, 110)(104, 112)(105, 113)(108, 111)(109, 116)(114, 115)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1125
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.1115 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 29, 29})
Quotient :: halfedge^2
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y1^-1)^2, R * Y3 * R * Y2, (Y2 * Y1)^2, (R * Y1)^2, Y1^2 * Y3 * Y1^-1 * Y2 * Y1, Y2 * Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3, Y2 * Y1^-1 * Y3 * Y1 * Y2 * Y3 * Y1^2 * Y2 * Y3 * Y1^2 * Y2 * Y3 * Y1^2 * Y2 * Y3 * Y1^2 * Y2 * Y3 * Y1^2 * Y2 * Y3 * Y1^2 * Y2 * Y3 * Y1^2 * Y2 * Y3 * Y1^2 * Y2 * Y3 * Y1^2 * Y2 * Y3 * Y1^2 * Y2 * Y3 * Y1^2 * Y2 * Y3 * Y1^2 * Y2 * Y1^-3 * Y3 * Y1^2 ]
Map:: non-degenerate
	R = (1, 60, 2, 64, 6, 72, 14, 68, 10, 75, 17, 82, 24, 89, 31, 85, 27, 91, 33, 98, 40, 105, 47, 101, 43, 107, 49, 114, 56, 116, 58, 111, 53, 104, 46, 108, 50, 102, 44, 95, 37, 88, 30, 92, 34, 86, 28, 79, 21, 70, 12, 76, 18, 71, 13, 63, 5, 59)(3, 67, 9, 74, 16, 66, 8, 62, 4, 69, 11, 78, 20, 84, 26, 80, 22, 87, 29, 94, 36, 100, 42, 96, 38, 103, 45, 110, 52, 115, 57, 112, 54, 109, 51, 113, 55, 106, 48, 99, 41, 93, 35, 97, 39, 90, 32, 83, 25, 77, 19, 81, 23, 73, 15, 65, 7, 61)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 19)(11, 21)(13, 16)(14, 23)(17, 25)(20, 28)(22, 30)(24, 32)(26, 34)(27, 35)(29, 37)(31, 39)(33, 41)(36, 44)(38, 46)(40, 48)(42, 50)(43, 51)(45, 53)(47, 55)(49, 54)(52, 58)(56, 57)(59, 62)(60, 66)(61, 68)(63, 69)(64, 74)(65, 75)(67, 72)(70, 80)(71, 78)(73, 82)(76, 84)(77, 85)(79, 87)(81, 89)(83, 91)(86, 94)(88, 96)(90, 98)(92, 100)(93, 101)(95, 103)(97, 105)(99, 107)(102, 110)(104, 112)(106, 114)(108, 115)(109, 111)(113, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1123
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.1116 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 29, 29})
Quotient :: halfedge^2
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y2 * Y1^-1)^2, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y1)^2, Y1^2 * Y3 * Y1^3 * Y3 * Y2 * Y1^-1 * Y2, Y1^-4 * Y3 * Y1 * Y2 * Y1^-3, Y3 * Y1^-2 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-2 * Y2, Y1^4 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1, Y2 * Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3, Y1^2 * Y3 * Y1^-2 * Y2 * Y1 * Y3 * Y1^-2 * Y2 * Y1 * Y3 * Y1^-2 * Y2 * Y1 * Y3 * Y1^-2 * Y2 * Y1 * Y3 * Y1^-2 * Y2 * Y1 * Y3 * Y1^-2 * Y2 * Y1 * Y3 * Y1^-2 * Y2 * Y1 * Y3 * Y1^-2 * Y2 * Y1 * Y3 * Y1^-2 * Y2 * Y1 * Y3 * Y1^-2 * Y2 * Y1 * Y3 * Y1^-3 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 60, 2, 64, 6, 72, 14, 84, 26, 100, 42, 96, 38, 81, 23, 70, 12, 76, 18, 88, 30, 104, 46, 112, 54, 94, 36, 107, 49, 115, 57, 98, 40, 108, 50, 110, 52, 92, 34, 78, 20, 68, 10, 75, 17, 87, 29, 103, 45, 99, 41, 83, 25, 71, 13, 63, 5, 59)(3, 67, 9, 77, 19, 91, 33, 109, 51, 116, 58, 105, 47, 89, 31, 79, 21, 93, 35, 111, 53, 106, 48, 90, 32, 82, 24, 97, 39, 114, 56, 113, 55, 102, 44, 86, 28, 74, 16, 66, 8, 62, 4, 69, 11, 80, 22, 95, 37, 101, 43, 85, 27, 73, 15, 65, 7, 61)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 27)(16, 30)(17, 31)(20, 35)(22, 38)(24, 40)(25, 33)(26, 43)(28, 46)(29, 47)(32, 50)(34, 53)(36, 55)(37, 42)(39, 57)(41, 51)(44, 54)(45, 58)(48, 52)(49, 56)(59, 62)(60, 66)(61, 68)(63, 69)(64, 74)(65, 75)(67, 78)(70, 82)(71, 80)(72, 86)(73, 87)(76, 90)(77, 92)(79, 94)(81, 97)(83, 95)(84, 102)(85, 103)(88, 106)(89, 107)(91, 110)(93, 112)(96, 114)(98, 116)(99, 101)(100, 113)(104, 111)(105, 115)(108, 109)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1118
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.1117 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 29, 29})
Quotient :: halfedge^2
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y2 * Y1)^2, (R * Y1)^2, (Y3 * Y1)^2, Y1^-1 * Y2 * Y1 * Y3 * Y1^-6, Y2 * Y1^-2 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-2 * Y3, Y1^2 * Y2 * Y1^-2 * Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y3, Y1 * Y3 * Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y3 * Y2 * Y3 * Y2, Y1^-1 * Y3 * Y1^-1 * Y2 * Y3 * Y2 * Y1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 60, 2, 64, 6, 72, 14, 84, 26, 100, 42, 92, 34, 78, 20, 68, 10, 75, 17, 87, 29, 103, 45, 115, 57, 98, 40, 108, 50, 110, 52, 94, 36, 107, 49, 113, 55, 96, 38, 81, 23, 70, 12, 76, 18, 88, 30, 104, 46, 99, 41, 83, 25, 71, 13, 63, 5, 59)(3, 67, 9, 77, 19, 91, 33, 102, 44, 86, 28, 74, 16, 66, 8, 62, 4, 69, 11, 80, 22, 95, 37, 112, 54, 111, 53, 106, 48, 90, 32, 82, 24, 97, 39, 114, 56, 105, 47, 89, 31, 79, 21, 93, 35, 109, 51, 116, 58, 101, 43, 85, 27, 73, 15, 65, 7, 61)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 27)(16, 30)(17, 31)(20, 35)(22, 38)(24, 40)(25, 33)(26, 43)(28, 46)(29, 47)(32, 50)(34, 51)(36, 53)(37, 55)(39, 57)(41, 44)(42, 58)(45, 56)(48, 52)(49, 54)(59, 62)(60, 66)(61, 68)(63, 69)(64, 74)(65, 75)(67, 78)(70, 82)(71, 80)(72, 86)(73, 87)(76, 90)(77, 92)(79, 94)(81, 97)(83, 95)(84, 102)(85, 103)(88, 106)(89, 107)(91, 100)(93, 110)(96, 114)(98, 116)(99, 112)(101, 115)(104, 111)(105, 113)(108, 109)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1124
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.1118 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 29, 29})
Quotient :: halfedge^2
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y1^-1)^2, (Y1 * Y2)^2, R * Y3 * R * Y2, (R * Y1)^2, Y1^-2 * Y2 * Y3 * Y1^2 * Y3 * Y2, Y2 * Y3 * Y1^-3 * Y2 * Y1^2 * Y3, Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2, Y1^-2 * Y3 * Y2 * Y1^-2 * Y3 * Y2 * Y1^-2 * Y3 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 60, 2, 64, 6, 72, 14, 84, 26, 94, 36, 103, 45, 112, 54, 115, 57, 106, 48, 96, 38, 81, 23, 70, 12, 76, 18, 88, 30, 92, 34, 78, 20, 68, 10, 75, 17, 87, 29, 101, 43, 110, 52, 114, 56, 108, 50, 98, 40, 99, 41, 83, 25, 71, 13, 63, 5, 59)(3, 67, 9, 77, 19, 91, 33, 90, 32, 82, 24, 97, 39, 107, 49, 116, 58, 111, 53, 102, 44, 89, 31, 79, 21, 93, 35, 86, 28, 74, 16, 66, 8, 62, 4, 69, 11, 80, 22, 95, 37, 105, 47, 109, 51, 113, 55, 104, 46, 100, 42, 85, 27, 73, 15, 65, 7, 61)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 27)(16, 30)(17, 31)(20, 35)(22, 38)(24, 40)(25, 33)(26, 42)(28, 34)(29, 44)(32, 41)(36, 46)(37, 48)(39, 50)(43, 53)(45, 55)(47, 57)(49, 56)(51, 54)(52, 58)(59, 62)(60, 66)(61, 68)(63, 69)(64, 74)(65, 75)(67, 78)(70, 82)(71, 80)(72, 86)(73, 87)(76, 90)(77, 92)(79, 94)(81, 97)(83, 95)(84, 93)(85, 101)(88, 91)(89, 103)(96, 107)(98, 109)(99, 105)(100, 110)(102, 112)(104, 114)(106, 116)(108, 113)(111, 115)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1116
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.1119 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 29, 29})
Quotient :: halfedge^2
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y1^-1 * Y3)^2, (Y1 * Y3)^2, R * Y3 * R * Y2, (Y2 * Y1)^2, (R * Y1)^2, Y2 * Y1 * Y2 * Y1^-1 * Y3 * Y1^-2 * Y3, Y3 * Y2 * Y3 * Y2 * Y1^-5, Y1 * Y2 * Y1^-3 * Y3 * Y2 * Y1^-1 * Y3, Y1^2 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-3 * Y2, Y1^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1, Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 60, 2, 64, 6, 72, 14, 84, 26, 98, 40, 103, 45, 112, 54, 114, 56, 105, 47, 92, 34, 78, 20, 68, 10, 75, 17, 87, 29, 96, 38, 81, 23, 70, 12, 76, 18, 88, 30, 101, 43, 110, 52, 116, 58, 107, 49, 94, 36, 99, 41, 83, 25, 71, 13, 63, 5, 59)(3, 67, 9, 77, 19, 91, 33, 104, 46, 108, 50, 113, 55, 109, 51, 100, 42, 86, 28, 74, 16, 66, 8, 62, 4, 69, 11, 80, 22, 95, 37, 89, 31, 79, 21, 93, 35, 106, 48, 115, 57, 111, 53, 102, 44, 90, 32, 82, 24, 97, 39, 85, 27, 73, 15, 65, 7, 61)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 27)(16, 30)(17, 31)(20, 35)(22, 38)(24, 40)(25, 33)(26, 39)(28, 43)(29, 37)(32, 45)(34, 48)(36, 50)(41, 46)(42, 52)(44, 54)(47, 57)(49, 55)(51, 58)(53, 56)(59, 62)(60, 66)(61, 68)(63, 69)(64, 74)(65, 75)(67, 78)(70, 82)(71, 80)(72, 86)(73, 87)(76, 90)(77, 92)(79, 94)(81, 97)(83, 95)(84, 100)(85, 96)(88, 102)(89, 99)(91, 105)(93, 107)(98, 109)(101, 111)(103, 113)(104, 114)(106, 116)(108, 112)(110, 115)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1122
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.1120 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 29, 29})
Quotient :: halfedge^2
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y1 * Y3)^2, (Y1^-1 * Y2)^2, (Y3 * Y1)^2, (R * Y1)^2, R * Y2 * R * Y3, Y2 * Y3 * Y1^3 * Y2 * Y3, Y2 * Y1^-1 * Y3 * Y1 * Y2 * Y1^-1 * Y3, Y1^-1 * Y2 * Y1^7 * Y3 * Y1^-5, Y3 * Y1^-1 * Y2 * Y1^4 * Y3 * Y2 * Y1^5 * Y3 * Y2, (Y2 * Y1 * Y3)^29 ]
Map:: non-degenerate
	R = (1, 60, 2, 64, 6, 72, 14, 84, 26, 92, 34, 100, 42, 108, 50, 113, 55, 105, 47, 97, 39, 89, 31, 78, 20, 68, 10, 75, 17, 81, 23, 70, 12, 76, 18, 86, 28, 94, 36, 102, 44, 110, 52, 115, 57, 107, 49, 99, 41, 91, 33, 83, 25, 71, 13, 63, 5, 59)(3, 67, 9, 77, 19, 88, 30, 96, 38, 104, 46, 112, 54, 109, 51, 101, 43, 93, 35, 85, 27, 74, 16, 66, 8, 62, 4, 69, 11, 80, 22, 79, 21, 90, 32, 98, 40, 106, 48, 114, 56, 116, 58, 111, 53, 103, 45, 95, 37, 87, 29, 82, 24, 73, 15, 65, 7, 61)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 24)(16, 28)(17, 22)(20, 32)(25, 30)(26, 29)(27, 36)(31, 40)(33, 38)(34, 37)(35, 44)(39, 48)(41, 46)(42, 45)(43, 52)(47, 56)(49, 54)(50, 53)(51, 57)(55, 58)(59, 62)(60, 66)(61, 68)(63, 69)(64, 74)(65, 75)(67, 78)(70, 82)(71, 80)(72, 85)(73, 81)(76, 87)(77, 89)(79, 83)(84, 93)(86, 95)(88, 97)(90, 91)(92, 101)(94, 103)(96, 105)(98, 99)(100, 109)(102, 111)(104, 113)(106, 107)(108, 112)(110, 116)(114, 115)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.1121 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 29, 29})
Quotient :: halfedge^2
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y1^-1)^2, (Y2 * Y1^-1)^2, (R * Y1)^2, R * Y2 * R * Y3, Y3 * Y2 * Y3 * Y1^-1 * Y2 * Y1^2, Y1^-11 * Y3 * Y1^2 * Y2 ]
Map:: non-degenerate
	R = (1, 60, 2, 64, 6, 72, 14, 84, 26, 92, 34, 100, 42, 108, 50, 113, 55, 105, 47, 97, 39, 89, 31, 81, 23, 70, 12, 76, 18, 78, 20, 68, 10, 75, 17, 86, 28, 94, 36, 102, 44, 110, 52, 115, 57, 107, 49, 99, 41, 91, 33, 83, 25, 71, 13, 63, 5, 59)(3, 67, 9, 77, 19, 82, 24, 90, 32, 98, 40, 106, 48, 114, 56, 116, 58, 111, 53, 103, 45, 95, 37, 87, 29, 79, 21, 74, 16, 66, 8, 62, 4, 69, 11, 80, 22, 88, 30, 96, 38, 104, 46, 112, 54, 109, 51, 101, 43, 93, 35, 85, 27, 73, 15, 65, 7, 61)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 27)(16, 20)(17, 29)(22, 31)(24, 25)(26, 35)(28, 37)(30, 39)(32, 33)(34, 43)(36, 45)(38, 47)(40, 41)(42, 51)(44, 53)(46, 55)(48, 49)(50, 54)(52, 58)(56, 57)(59, 62)(60, 66)(61, 68)(63, 69)(64, 74)(65, 75)(67, 78)(70, 82)(71, 80)(72, 79)(73, 86)(76, 77)(81, 90)(83, 88)(84, 87)(85, 94)(89, 98)(91, 96)(92, 95)(93, 102)(97, 106)(99, 104)(100, 103)(101, 110)(105, 114)(107, 112)(108, 111)(109, 115)(113, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1126
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.1122 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 29, 29})
Quotient :: halfedge^2
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y2 * Y1)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y1^-1, Y1^5 * Y3 * Y1^-4 * Y2, Y1 * Y3 * Y1^-3 * Y2 * Y3 * Y1^-2 * Y2 * Y3 * Y2 * Y1 * Y3 * Y2, Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y1^-3 * Y2 * Y3 * Y1^-2 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1^-1 * Y2 * Y3 * Y1^-2 * Y2 ]
Map:: non-degenerate
	R = (1, 60, 2, 64, 6, 72, 14, 84, 26, 97, 39, 104, 46, 92, 34, 78, 20, 68, 10, 75, 17, 87, 29, 100, 42, 110, 52, 115, 57, 116, 58, 113, 55, 106, 48, 94, 36, 81, 23, 70, 12, 76, 18, 88, 30, 101, 43, 108, 50, 96, 38, 83, 25, 71, 13, 63, 5, 59)(3, 67, 9, 77, 19, 91, 33, 103, 45, 99, 41, 86, 28, 74, 16, 66, 8, 62, 4, 69, 11, 80, 22, 95, 37, 107, 49, 114, 56, 111, 53, 102, 44, 90, 32, 82, 24, 89, 31, 79, 21, 93, 35, 105, 47, 112, 54, 109, 51, 98, 40, 85, 27, 73, 15, 65, 7, 61)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 27)(16, 30)(17, 31)(20, 35)(22, 36)(24, 29)(25, 33)(26, 40)(28, 43)(32, 42)(34, 47)(37, 48)(38, 45)(39, 51)(41, 50)(44, 52)(46, 54)(49, 55)(53, 57)(56, 58)(59, 62)(60, 66)(61, 68)(63, 69)(64, 74)(65, 75)(67, 78)(70, 82)(71, 80)(72, 86)(73, 87)(76, 90)(77, 92)(79, 94)(81, 89)(83, 95)(84, 99)(85, 100)(88, 102)(91, 104)(93, 106)(96, 107)(97, 103)(98, 110)(101, 111)(105, 113)(108, 114)(109, 115)(112, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1119
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.1123 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 29, 29})
Quotient :: halfedge^2
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y2 * Y1)^2, (R * Y1)^2, (Y3 * Y1)^2, Y3 * Y1^-2 * Y2 * Y3 * Y2 * Y3 * Y2, Y2 * Y1^-9 * Y3 ]
Map:: non-degenerate
	R = (1, 60, 2, 64, 6, 72, 14, 84, 26, 97, 39, 106, 48, 94, 36, 81, 23, 70, 12, 76, 18, 88, 30, 101, 43, 110, 52, 115, 57, 116, 58, 113, 55, 104, 46, 92, 34, 78, 20, 68, 10, 75, 17, 87, 29, 100, 42, 108, 50, 96, 38, 83, 25, 71, 13, 63, 5, 59)(3, 67, 9, 77, 19, 91, 33, 103, 45, 112, 54, 111, 53, 102, 44, 89, 31, 79, 21, 90, 32, 82, 24, 95, 37, 107, 49, 114, 56, 109, 51, 99, 41, 86, 28, 74, 16, 66, 8, 62, 4, 69, 11, 80, 22, 93, 35, 105, 47, 98, 40, 85, 27, 73, 15, 65, 7, 61)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 27)(16, 30)(17, 31)(20, 32)(22, 36)(24, 34)(25, 33)(26, 40)(28, 43)(29, 44)(35, 48)(37, 46)(38, 45)(39, 47)(41, 52)(42, 53)(49, 55)(50, 54)(51, 57)(56, 58)(59, 62)(60, 66)(61, 68)(63, 69)(64, 74)(65, 75)(67, 78)(70, 82)(71, 80)(72, 86)(73, 87)(76, 90)(77, 92)(79, 88)(81, 95)(83, 93)(84, 99)(85, 100)(89, 101)(91, 104)(94, 107)(96, 105)(97, 109)(98, 108)(102, 110)(103, 113)(106, 114)(111, 115)(112, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1115
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.1124 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 29, 29})
Quotient :: halfedge^2
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y1^-1)^2, (R * Y1)^2, (Y1^-1 * Y2)^2, R * Y3 * R * Y2, Y2 * Y1^5 * Y3, Y3 * Y1^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2, Y1^-1 * Y3 * Y1 * Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-1, Y3 * Y1^3 * Y2 * Y3 * Y1^3 * Y2 * Y3 * Y1^3 * Y2 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 60, 2, 64, 6, 72, 14, 78, 20, 68, 10, 75, 17, 85, 27, 94, 36, 98, 40, 89, 31, 96, 38, 105, 47, 114, 56, 113, 55, 109, 51, 116, 58, 111, 53, 102, 44, 93, 35, 97, 39, 100, 42, 91, 33, 81, 23, 70, 12, 76, 18, 83, 25, 71, 13, 63, 5, 59)(3, 67, 9, 77, 19, 74, 16, 66, 8, 62, 4, 69, 11, 80, 22, 90, 32, 87, 29, 82, 24, 92, 34, 101, 43, 110, 52, 107, 49, 103, 45, 112, 54, 115, 57, 106, 48, 99, 41, 108, 50, 104, 46, 95, 37, 86, 28, 79, 21, 88, 30, 84, 26, 73, 15, 65, 7, 61)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 26)(16, 25)(17, 28)(20, 30)(22, 33)(24, 35)(27, 37)(29, 39)(31, 41)(32, 42)(34, 44)(36, 46)(38, 48)(40, 50)(43, 53)(45, 55)(47, 57)(49, 51)(52, 58)(54, 56)(59, 62)(60, 66)(61, 68)(63, 69)(64, 74)(65, 75)(67, 78)(70, 82)(71, 80)(72, 77)(73, 85)(76, 87)(79, 89)(81, 92)(83, 90)(84, 94)(86, 96)(88, 98)(91, 101)(93, 103)(95, 105)(97, 107)(99, 109)(100, 110)(102, 112)(104, 114)(106, 116)(108, 113)(111, 115)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1117
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.1125 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 29, 29})
Quotient :: halfedge^2
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y1^-1)^2, (R * Y1)^2, (Y2 * Y1^-1)^2, R * Y3 * R * Y2, Y1^3 * Y2 * Y1^-2 * Y3, Y1^-1 * Y3 * Y1 * Y2 * Y3 * Y1^2 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2, Y1^-1 * Y2 * Y1 * Y3 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1, (Y2 * Y1 * Y3)^29 ]
Map:: non-degenerate
	R = (1, 60, 2, 64, 6, 72, 14, 81, 23, 70, 12, 76, 18, 85, 27, 94, 36, 102, 44, 93, 35, 97, 39, 105, 47, 114, 56, 111, 53, 113, 55, 116, 58, 109, 51, 100, 42, 91, 33, 96, 38, 98, 40, 89, 31, 78, 20, 68, 10, 75, 17, 83, 25, 71, 13, 63, 5, 59)(3, 67, 9, 77, 19, 88, 30, 86, 28, 79, 21, 90, 32, 99, 41, 108, 50, 106, 48, 101, 43, 110, 52, 115, 57, 107, 49, 103, 45, 112, 54, 104, 46, 95, 37, 87, 29, 82, 24, 92, 34, 84, 26, 74, 16, 66, 8, 62, 4, 69, 11, 80, 22, 73, 15, 65, 7, 61)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 22)(16, 27)(17, 28)(20, 32)(24, 35)(25, 30)(26, 36)(29, 39)(31, 41)(33, 43)(34, 44)(37, 47)(38, 48)(40, 50)(42, 52)(45, 55)(46, 56)(49, 58)(51, 57)(53, 54)(59, 62)(60, 66)(61, 68)(63, 69)(64, 74)(65, 75)(67, 78)(70, 82)(71, 80)(72, 84)(73, 83)(76, 87)(77, 89)(79, 91)(81, 92)(85, 95)(86, 96)(88, 98)(90, 100)(93, 103)(94, 104)(97, 107)(99, 109)(101, 111)(102, 112)(105, 115)(106, 113)(108, 116)(110, 114)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1114
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.1126 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 29, 29})
Quotient :: halfedge^2
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1 * Y2 * Y3, Y2 * Y1^-1 * Y3, (R * Y1)^2, R * Y3 * R * Y2, Y1^29 ]
Map:: non-degenerate
	R = (1, 60, 2, 64, 6, 68, 10, 72, 14, 76, 18, 80, 22, 84, 26, 89, 31, 91, 33, 93, 35, 95, 37, 97, 39, 99, 41, 102, 44, 116, 58, 114, 56, 112, 54, 110, 52, 108, 50, 106, 48, 104, 46, 87, 29, 83, 25, 79, 21, 75, 17, 71, 13, 67, 9, 63, 5, 59)(3, 66, 8, 70, 12, 74, 16, 78, 20, 82, 24, 86, 28, 88, 30, 90, 32, 92, 34, 94, 36, 96, 38, 98, 40, 100, 42, 103, 45, 115, 57, 113, 55, 111, 53, 109, 51, 107, 49, 105, 47, 101, 43, 85, 27, 81, 23, 77, 19, 73, 15, 69, 11, 65, 7, 62, 4, 61)
	L = (1, 3)(2, 4)(5, 8)(6, 7)(9, 12)(10, 11)(13, 16)(14, 15)(17, 20)(18, 19)(21, 24)(22, 23)(25, 28)(26, 27)(29, 30)(31, 43)(32, 46)(33, 47)(34, 48)(35, 49)(36, 50)(37, 51)(38, 52)(39, 53)(40, 54)(41, 55)(42, 56)(44, 57)(45, 58)(59, 62)(60, 65)(61, 63)(64, 69)(66, 67)(68, 73)(70, 71)(72, 77)(74, 75)(76, 81)(78, 79)(80, 85)(82, 83)(84, 101)(86, 87)(88, 104)(89, 105)(90, 106)(91, 107)(92, 108)(93, 109)(94, 110)(95, 111)(96, 112)(97, 113)(98, 114)(99, 115)(100, 116)(102, 103)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1121
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.1127 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 29, 29})
Quotient :: edge^2
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y1 * Y2, R * Y2 * R * Y1, (Y3 * Y2)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, Y3^29 ]
Map::
	R = (1, 59, 3, 61, 7, 65, 11, 69, 15, 73, 19, 77, 23, 81, 27, 85, 41, 99, 37, 95, 33, 91, 30, 88, 34, 92, 38, 96, 42, 100, 45, 103, 47, 105, 49, 107, 52, 110, 53, 111, 55, 113, 57, 115, 28, 86, 24, 82, 20, 78, 16, 74, 12, 70, 8, 66, 4, 62)(2, 60, 5, 63, 9, 67, 13, 71, 17, 75, 21, 79, 25, 83, 43, 101, 39, 97, 35, 93, 31, 89, 29, 87, 32, 90, 36, 94, 40, 98, 44, 102, 46, 104, 48, 106, 51, 109, 54, 112, 56, 114, 58, 116, 50, 108, 26, 84, 22, 80, 18, 76, 14, 72, 10, 68, 6, 64)(117, 118)(119, 122)(120, 121)(123, 126)(124, 125)(127, 130)(128, 129)(131, 134)(132, 133)(135, 138)(136, 137)(139, 142)(140, 141)(143, 166)(144, 159)(145, 168)(146, 167)(147, 169)(148, 165)(149, 170)(150, 164)(151, 171)(152, 163)(153, 172)(154, 162)(155, 173)(156, 161)(157, 174)(158, 160)(175, 176)(177, 180)(178, 179)(181, 184)(182, 183)(185, 188)(186, 187)(189, 192)(190, 191)(193, 196)(194, 195)(197, 200)(198, 199)(201, 224)(202, 217)(203, 226)(204, 225)(205, 227)(206, 223)(207, 228)(208, 222)(209, 229)(210, 221)(211, 230)(212, 220)(213, 231)(214, 219)(215, 232)(216, 218)
	L = (1, 117)(2, 118)(3, 119)(4, 120)(5, 121)(6, 122)(7, 123)(8, 124)(9, 125)(10, 126)(11, 127)(12, 128)(13, 129)(14, 130)(15, 131)(16, 132)(17, 133)(18, 134)(19, 135)(20, 136)(21, 137)(22, 138)(23, 139)(24, 140)(25, 141)(26, 142)(27, 143)(28, 144)(29, 145)(30, 146)(31, 147)(32, 148)(33, 149)(34, 150)(35, 151)(36, 152)(37, 153)(38, 154)(39, 155)(40, 156)(41, 157)(42, 158)(43, 159)(44, 160)(45, 161)(46, 162)(47, 163)(48, 164)(49, 165)(50, 166)(51, 167)(52, 168)(53, 169)(54, 170)(55, 171)(56, 172)(57, 173)(58, 174)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 116, 116 ), ( 116^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1142
Graph:: simple bipartite
	v = 60 e = 116 f = 2
	degree seq :: [ 2^58, 58^2 ]

E28.1128 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 29, 29})
Quotient :: edge^2
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3^-1 * Y2)^2, Y3^-2 * Y2 * Y3^2 * Y1, Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2, Y1 * Y3 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y1 * Y2 ]
Map::
	R = (1, 59, 4, 62, 12, 70, 21, 79, 9, 67, 20, 78, 30, 88, 37, 95, 27, 85, 36, 94, 46, 104, 53, 111, 43, 101, 52, 110, 58, 116, 56, 114, 49, 107, 39, 97, 48, 106, 42, 100, 33, 91, 23, 81, 32, 90, 26, 84, 16, 74, 6, 64, 15, 73, 13, 71, 5, 63)(2, 60, 7, 65, 17, 75, 25, 83, 14, 72, 24, 82, 34, 92, 41, 99, 31, 89, 40, 98, 50, 108, 55, 113, 47, 105, 51, 109, 57, 115, 54, 112, 45, 103, 35, 93, 44, 102, 38, 96, 29, 87, 19, 77, 28, 86, 22, 80, 11, 69, 3, 61, 10, 68, 18, 76, 8, 66)(117, 118)(119, 125)(120, 124)(121, 123)(122, 130)(126, 137)(127, 136)(128, 134)(129, 133)(131, 141)(132, 140)(135, 143)(138, 146)(139, 147)(142, 150)(144, 153)(145, 152)(148, 157)(149, 156)(151, 159)(154, 162)(155, 163)(158, 166)(160, 169)(161, 168)(164, 171)(165, 167)(170, 174)(172, 173)(175, 177)(176, 180)(178, 185)(179, 184)(181, 190)(182, 189)(183, 193)(186, 196)(187, 192)(188, 197)(191, 200)(194, 203)(195, 202)(198, 207)(199, 206)(201, 209)(204, 212)(205, 213)(208, 216)(210, 219)(211, 218)(214, 223)(215, 222)(217, 225)(220, 228)(221, 226)(224, 230)(227, 231)(229, 232)
	L = (1, 117)(2, 118)(3, 119)(4, 120)(5, 121)(6, 122)(7, 123)(8, 124)(9, 125)(10, 126)(11, 127)(12, 128)(13, 129)(14, 130)(15, 131)(16, 132)(17, 133)(18, 134)(19, 135)(20, 136)(21, 137)(22, 138)(23, 139)(24, 140)(25, 141)(26, 142)(27, 143)(28, 144)(29, 145)(30, 146)(31, 147)(32, 148)(33, 149)(34, 150)(35, 151)(36, 152)(37, 153)(38, 154)(39, 155)(40, 156)(41, 157)(42, 158)(43, 159)(44, 160)(45, 161)(46, 162)(47, 163)(48, 164)(49, 165)(50, 166)(51, 167)(52, 168)(53, 169)(54, 170)(55, 171)(56, 172)(57, 173)(58, 174)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 116, 116 ), ( 116^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1151
Graph:: simple bipartite
	v = 60 e = 116 f = 2
	degree seq :: [ 2^58, 58^2 ]

E28.1129 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 29, 29})
Quotient :: edge^2
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3^-1 * Y2)^2, Y3^3 * Y2 * Y3^-1 * Y1, Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2, (Y3 * Y1 * Y2)^29 ]
Map::
	R = (1, 59, 4, 62, 12, 70, 16, 74, 6, 64, 15, 73, 26, 84, 33, 91, 23, 81, 32, 90, 42, 100, 49, 107, 39, 97, 48, 106, 56, 114, 58, 116, 53, 111, 43, 101, 52, 110, 46, 104, 37, 95, 27, 85, 36, 94, 30, 88, 21, 79, 9, 67, 20, 78, 13, 71, 5, 63)(2, 60, 7, 65, 17, 75, 11, 69, 3, 61, 10, 68, 22, 80, 29, 87, 19, 77, 28, 86, 38, 96, 45, 103, 35, 93, 44, 102, 54, 112, 57, 115, 51, 109, 47, 105, 55, 113, 50, 108, 41, 99, 31, 89, 40, 98, 34, 92, 25, 83, 14, 72, 24, 82, 18, 76, 8, 66)(117, 118)(119, 125)(120, 124)(121, 123)(122, 130)(126, 137)(127, 136)(128, 134)(129, 133)(131, 141)(132, 140)(135, 143)(138, 146)(139, 147)(142, 150)(144, 153)(145, 152)(148, 157)(149, 156)(151, 159)(154, 162)(155, 163)(158, 166)(160, 169)(161, 168)(164, 167)(165, 171)(170, 174)(172, 173)(175, 177)(176, 180)(178, 185)(179, 184)(181, 190)(182, 189)(183, 193)(186, 191)(187, 196)(188, 197)(192, 200)(194, 203)(195, 202)(198, 207)(199, 206)(201, 209)(204, 212)(205, 213)(208, 216)(210, 219)(211, 218)(214, 223)(215, 222)(217, 225)(220, 228)(221, 227)(224, 230)(226, 231)(229, 232)
	L = (1, 117)(2, 118)(3, 119)(4, 120)(5, 121)(6, 122)(7, 123)(8, 124)(9, 125)(10, 126)(11, 127)(12, 128)(13, 129)(14, 130)(15, 131)(16, 132)(17, 133)(18, 134)(19, 135)(20, 136)(21, 137)(22, 138)(23, 139)(24, 140)(25, 141)(26, 142)(27, 143)(28, 144)(29, 145)(30, 146)(31, 147)(32, 148)(33, 149)(34, 150)(35, 151)(36, 152)(37, 153)(38, 154)(39, 155)(40, 156)(41, 157)(42, 158)(43, 159)(44, 160)(45, 161)(46, 162)(47, 163)(48, 164)(49, 165)(50, 166)(51, 167)(52, 168)(53, 169)(54, 170)(55, 171)(56, 172)(57, 173)(58, 174)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 116, 116 ), ( 116^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1153
Graph:: simple bipartite
	v = 60 e = 116 f = 2
	degree seq :: [ 2^58, 58^2 ]

E28.1130 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 29, 29})
Quotient :: edge^2
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y2)^2, (Y3 * Y1)^2, (Y3^-3 * Y1)^2, Y2 * Y1 * Y3^2 * Y1 * Y2 * Y3^-2, Y3^-8 * Y2 * Y1, Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-3 * Y1 * Y2, Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-2 * Y2 * Y1 * Y2 ]
Map::
	R = (1, 59, 4, 62, 12, 70, 24, 82, 40, 98, 57, 115, 37, 95, 21, 79, 9, 67, 20, 78, 36, 94, 56, 114, 44, 102, 26, 84, 43, 101, 53, 111, 33, 91, 52, 110, 48, 106, 30, 88, 16, 74, 6, 64, 15, 73, 29, 87, 47, 105, 41, 99, 25, 83, 13, 71, 5, 63)(2, 60, 7, 65, 17, 75, 31, 89, 49, 107, 51, 109, 46, 104, 28, 86, 14, 72, 27, 85, 45, 103, 55, 113, 35, 93, 19, 77, 34, 92, 54, 112, 42, 100, 58, 116, 39, 97, 23, 81, 11, 69, 3, 61, 10, 68, 22, 80, 38, 96, 50, 108, 32, 90, 18, 76, 8, 66)(117, 118)(119, 125)(120, 124)(121, 123)(122, 130)(126, 137)(127, 136)(128, 134)(129, 133)(131, 144)(132, 143)(135, 149)(138, 153)(139, 152)(140, 148)(141, 147)(142, 158)(145, 162)(146, 161)(150, 169)(151, 168)(154, 173)(155, 172)(156, 166)(157, 165)(159, 170)(160, 174)(163, 167)(164, 171)(175, 177)(176, 180)(178, 185)(179, 184)(181, 190)(182, 189)(183, 193)(186, 197)(187, 196)(188, 200)(191, 204)(192, 203)(194, 209)(195, 208)(198, 213)(199, 212)(201, 218)(202, 217)(205, 222)(206, 221)(207, 225)(210, 229)(211, 228)(214, 232)(215, 224)(216, 231)(219, 230)(220, 227)(223, 226)
	L = (1, 117)(2, 118)(3, 119)(4, 120)(5, 121)(6, 122)(7, 123)(8, 124)(9, 125)(10, 126)(11, 127)(12, 128)(13, 129)(14, 130)(15, 131)(16, 132)(17, 133)(18, 134)(19, 135)(20, 136)(21, 137)(22, 138)(23, 139)(24, 140)(25, 141)(26, 142)(27, 143)(28, 144)(29, 145)(30, 146)(31, 147)(32, 148)(33, 149)(34, 150)(35, 151)(36, 152)(37, 153)(38, 154)(39, 155)(40, 156)(41, 157)(42, 158)(43, 159)(44, 160)(45, 161)(46, 162)(47, 163)(48, 164)(49, 165)(50, 166)(51, 167)(52, 168)(53, 169)(54, 170)(55, 171)(56, 172)(57, 173)(58, 174)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 116, 116 ), ( 116^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1154
Graph:: simple bipartite
	v = 60 e = 116 f = 2
	degree seq :: [ 2^58, 58^2 ]

E28.1131 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 29, 29})
Quotient :: edge^2
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3^-1 * Y1)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y2)^2, Y3 * Y1 * Y3^-1 * Y2 * Y3^-2 * Y2 * Y1, Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y3 * Y2, Y3^2 * Y2 * Y3^-6 * Y1, Y1 * Y2 * Y1 * Y2 * Y1 * Y3^-5 * Y2, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 59, 4, 62, 12, 70, 24, 82, 40, 98, 48, 106, 30, 88, 16, 74, 6, 64, 15, 73, 29, 87, 47, 105, 53, 111, 33, 91, 52, 110, 44, 102, 26, 84, 43, 101, 57, 115, 37, 95, 21, 79, 9, 67, 20, 78, 36, 94, 56, 114, 41, 99, 25, 83, 13, 71, 5, 63)(2, 60, 7, 65, 17, 75, 31, 89, 49, 107, 39, 97, 23, 81, 11, 69, 3, 61, 10, 68, 22, 80, 38, 96, 58, 116, 42, 100, 55, 113, 35, 93, 19, 77, 34, 92, 54, 112, 46, 104, 28, 86, 14, 72, 27, 85, 45, 103, 51, 109, 50, 108, 32, 90, 18, 76, 8, 66)(117, 118)(119, 125)(120, 124)(121, 123)(122, 130)(126, 137)(127, 136)(128, 134)(129, 133)(131, 144)(132, 143)(135, 149)(138, 153)(139, 152)(140, 148)(141, 147)(142, 158)(145, 162)(146, 161)(150, 169)(151, 168)(154, 173)(155, 172)(156, 166)(157, 165)(159, 174)(160, 171)(163, 170)(164, 167)(175, 177)(176, 180)(178, 185)(179, 184)(181, 190)(182, 189)(183, 193)(186, 197)(187, 196)(188, 200)(191, 204)(192, 203)(194, 209)(195, 208)(198, 213)(199, 212)(201, 218)(202, 217)(205, 222)(206, 221)(207, 225)(210, 229)(211, 228)(214, 223)(215, 232)(216, 230)(219, 226)(220, 231)(224, 227)
	L = (1, 117)(2, 118)(3, 119)(4, 120)(5, 121)(6, 122)(7, 123)(8, 124)(9, 125)(10, 126)(11, 127)(12, 128)(13, 129)(14, 130)(15, 131)(16, 132)(17, 133)(18, 134)(19, 135)(20, 136)(21, 137)(22, 138)(23, 139)(24, 140)(25, 141)(26, 142)(27, 143)(28, 144)(29, 145)(30, 146)(31, 147)(32, 148)(33, 149)(34, 150)(35, 151)(36, 152)(37, 153)(38, 154)(39, 155)(40, 156)(41, 157)(42, 158)(43, 159)(44, 160)(45, 161)(46, 162)(47, 163)(48, 164)(49, 165)(50, 166)(51, 167)(52, 168)(53, 169)(54, 170)(55, 171)(56, 172)(57, 173)(58, 174)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 116, 116 ), ( 116^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1148
Graph:: simple bipartite
	v = 60 e = 116 f = 2
	degree seq :: [ 2^58, 58^2 ]

E28.1132 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 29, 29})
Quotient :: edge^2
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, (Y3^-1 * Y1)^2, Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y3^4, Y2 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1, (Y3 * Y1 * Y2)^29 ]
Map::
	R = (1, 59, 4, 62, 12, 70, 24, 82, 40, 98, 26, 84, 43, 101, 54, 112, 58, 116, 50, 108, 37, 95, 21, 79, 9, 67, 20, 78, 36, 94, 30, 88, 16, 74, 6, 64, 15, 73, 29, 87, 45, 103, 56, 114, 52, 110, 48, 106, 33, 91, 41, 99, 25, 83, 13, 71, 5, 63)(2, 60, 7, 65, 17, 75, 31, 89, 35, 93, 19, 77, 34, 92, 49, 107, 57, 115, 55, 113, 44, 102, 28, 86, 14, 72, 27, 85, 39, 97, 23, 81, 11, 69, 3, 61, 10, 68, 22, 80, 38, 96, 51, 109, 47, 105, 53, 111, 42, 100, 46, 104, 32, 90, 18, 76, 8, 66)(117, 118)(119, 125)(120, 124)(121, 123)(122, 130)(126, 137)(127, 136)(128, 134)(129, 133)(131, 144)(132, 143)(135, 149)(138, 153)(139, 152)(140, 148)(141, 147)(142, 158)(145, 160)(146, 155)(150, 164)(151, 157)(154, 166)(156, 162)(159, 169)(161, 171)(163, 170)(165, 168)(167, 174)(172, 173)(175, 177)(176, 180)(178, 185)(179, 184)(181, 190)(182, 189)(183, 193)(186, 197)(187, 196)(188, 200)(191, 204)(192, 203)(194, 209)(195, 208)(198, 213)(199, 212)(201, 214)(202, 217)(205, 210)(206, 219)(207, 221)(211, 223)(215, 225)(216, 226)(218, 228)(220, 230)(222, 227)(224, 231)(229, 232)
	L = (1, 117)(2, 118)(3, 119)(4, 120)(5, 121)(6, 122)(7, 123)(8, 124)(9, 125)(10, 126)(11, 127)(12, 128)(13, 129)(14, 130)(15, 131)(16, 132)(17, 133)(18, 134)(19, 135)(20, 136)(21, 137)(22, 138)(23, 139)(24, 140)(25, 141)(26, 142)(27, 143)(28, 144)(29, 145)(30, 146)(31, 147)(32, 148)(33, 149)(34, 150)(35, 151)(36, 152)(37, 153)(38, 154)(39, 155)(40, 156)(41, 157)(42, 158)(43, 159)(44, 160)(45, 161)(46, 162)(47, 163)(48, 164)(49, 165)(50, 166)(51, 167)(52, 168)(53, 169)(54, 170)(55, 171)(56, 172)(57, 173)(58, 174)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 116, 116 ), ( 116^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1152
Graph:: simple bipartite
	v = 60 e = 116 f = 2
	degree seq :: [ 2^58, 58^2 ]

E28.1133 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 29, 29})
Quotient :: edge^2
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, (Y3^-1 * Y1)^2, Y3^-2 * Y2 * Y3^2 * Y1 * Y2 * Y1 * Y3^-1, Y2 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1, (Y3 * Y1 * Y2)^29 ]
Map::
	R = (1, 59, 4, 62, 12, 70, 24, 82, 40, 98, 33, 91, 48, 106, 52, 110, 56, 114, 45, 103, 30, 88, 16, 74, 6, 64, 15, 73, 29, 87, 37, 95, 21, 79, 9, 67, 20, 78, 36, 94, 50, 108, 58, 116, 54, 112, 43, 101, 26, 84, 41, 99, 25, 83, 13, 71, 5, 63)(2, 60, 7, 65, 17, 75, 31, 89, 46, 104, 42, 100, 53, 111, 47, 105, 51, 109, 39, 97, 23, 81, 11, 69, 3, 61, 10, 68, 22, 80, 38, 96, 28, 86, 14, 72, 27, 85, 44, 102, 55, 113, 57, 115, 49, 107, 35, 93, 19, 77, 34, 92, 32, 90, 18, 76, 8, 66)(117, 118)(119, 125)(120, 124)(121, 123)(122, 130)(126, 137)(127, 136)(128, 134)(129, 133)(131, 144)(132, 143)(135, 149)(138, 153)(139, 152)(140, 148)(141, 147)(142, 158)(145, 154)(146, 160)(150, 156)(151, 164)(155, 166)(157, 162)(159, 169)(161, 171)(163, 170)(165, 168)(167, 174)(172, 173)(175, 177)(176, 180)(178, 185)(179, 184)(181, 190)(182, 189)(183, 193)(186, 197)(187, 196)(188, 200)(191, 204)(192, 203)(194, 209)(195, 208)(198, 213)(199, 212)(201, 217)(202, 215)(205, 219)(206, 211)(207, 221)(210, 223)(214, 225)(216, 226)(218, 228)(220, 230)(222, 227)(224, 231)(229, 232)
	L = (1, 117)(2, 118)(3, 119)(4, 120)(5, 121)(6, 122)(7, 123)(8, 124)(9, 125)(10, 126)(11, 127)(12, 128)(13, 129)(14, 130)(15, 131)(16, 132)(17, 133)(18, 134)(19, 135)(20, 136)(21, 137)(22, 138)(23, 139)(24, 140)(25, 141)(26, 142)(27, 143)(28, 144)(29, 145)(30, 146)(31, 147)(32, 148)(33, 149)(34, 150)(35, 151)(36, 152)(37, 153)(38, 154)(39, 155)(40, 156)(41, 157)(42, 158)(43, 159)(44, 160)(45, 161)(46, 162)(47, 163)(48, 164)(49, 165)(50, 166)(51, 167)(52, 168)(53, 169)(54, 170)(55, 171)(56, 172)(57, 173)(58, 174)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 116, 116 ), ( 116^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1146
Graph:: simple bipartite
	v = 60 e = 116 f = 2
	degree seq :: [ 2^58, 58^2 ]

E28.1134 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 29, 29})
Quotient :: edge^2
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3^-1 * Y2)^2, Y2 * Y1 * Y2 * Y3^3 * Y1, Y3^-1 * Y1 * Y3^4 * Y2 * Y3^-8, (Y3 * Y1 * Y2)^29 ]
Map::
	R = (1, 59, 4, 62, 12, 70, 24, 82, 32, 90, 40, 98, 48, 106, 56, 114, 51, 109, 43, 101, 35, 93, 27, 85, 16, 74, 6, 64, 15, 73, 21, 79, 9, 67, 20, 78, 30, 88, 38, 96, 46, 104, 54, 112, 57, 115, 49, 107, 41, 99, 33, 91, 25, 83, 13, 71, 5, 63)(2, 60, 7, 65, 17, 75, 28, 86, 36, 94, 44, 102, 52, 110, 55, 113, 47, 105, 39, 97, 31, 89, 23, 81, 11, 69, 3, 61, 10, 68, 22, 80, 14, 72, 26, 84, 34, 92, 42, 100, 50, 108, 58, 116, 53, 111, 45, 103, 37, 95, 29, 87, 19, 77, 18, 76, 8, 66)(117, 118)(119, 125)(120, 124)(121, 123)(122, 130)(126, 137)(127, 136)(128, 134)(129, 133)(131, 138)(132, 142)(135, 140)(139, 146)(141, 144)(143, 150)(145, 148)(147, 154)(149, 152)(151, 158)(153, 156)(155, 162)(157, 160)(159, 166)(161, 164)(163, 170)(165, 168)(167, 174)(169, 172)(171, 173)(175, 177)(176, 180)(178, 185)(179, 184)(181, 190)(182, 189)(183, 193)(186, 197)(187, 196)(188, 199)(191, 201)(192, 195)(194, 203)(198, 205)(200, 207)(202, 209)(204, 211)(206, 213)(208, 215)(210, 217)(212, 219)(214, 221)(216, 223)(218, 225)(220, 227)(222, 229)(224, 231)(226, 230)(228, 232)
	L = (1, 117)(2, 118)(3, 119)(4, 120)(5, 121)(6, 122)(7, 123)(8, 124)(9, 125)(10, 126)(11, 127)(12, 128)(13, 129)(14, 130)(15, 131)(16, 132)(17, 133)(18, 134)(19, 135)(20, 136)(21, 137)(22, 138)(23, 139)(24, 140)(25, 141)(26, 142)(27, 143)(28, 144)(29, 145)(30, 146)(31, 147)(32, 148)(33, 149)(34, 150)(35, 151)(36, 152)(37, 153)(38, 154)(39, 155)(40, 156)(41, 157)(42, 158)(43, 159)(44, 160)(45, 161)(46, 162)(47, 163)(48, 164)(49, 165)(50, 166)(51, 167)(52, 168)(53, 169)(54, 170)(55, 171)(56, 172)(57, 173)(58, 174)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 116, 116 ), ( 116^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1155
Graph:: simple bipartite
	v = 60 e = 116 f = 2
	degree seq :: [ 2^58, 58^2 ]

E28.1135 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 29, 29})
Quotient :: edge^2
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3 * Y2)^2, Y1 * Y2 * Y1 * Y3 * Y2 * Y3^-2, Y3^5 * Y1 * Y2 * Y3^8, (Y3 * Y1 * Y2)^29 ]
Map::
	R = (1, 59, 4, 62, 12, 70, 24, 82, 32, 90, 40, 98, 48, 106, 56, 114, 54, 112, 46, 104, 38, 96, 30, 88, 21, 79, 9, 67, 20, 78, 16, 74, 6, 64, 15, 73, 27, 85, 35, 93, 43, 101, 51, 109, 57, 115, 49, 107, 41, 99, 33, 91, 25, 83, 13, 71, 5, 63)(2, 60, 7, 65, 17, 75, 19, 77, 29, 87, 37, 95, 45, 103, 53, 111, 58, 116, 50, 108, 42, 100, 34, 92, 26, 84, 14, 72, 23, 81, 11, 69, 3, 61, 10, 68, 22, 80, 31, 89, 39, 97, 47, 105, 55, 113, 52, 110, 44, 102, 36, 94, 28, 86, 18, 76, 8, 66)(117, 118)(119, 125)(120, 124)(121, 123)(122, 130)(126, 137)(127, 136)(128, 134)(129, 133)(131, 142)(132, 139)(135, 141)(138, 146)(140, 144)(143, 150)(145, 149)(147, 154)(148, 152)(151, 158)(153, 157)(155, 162)(156, 160)(159, 166)(161, 165)(163, 170)(164, 168)(167, 174)(169, 173)(171, 172)(175, 177)(176, 180)(178, 185)(179, 184)(181, 190)(182, 189)(183, 193)(186, 197)(187, 196)(188, 198)(191, 194)(192, 201)(195, 203)(199, 205)(200, 206)(202, 209)(204, 211)(207, 213)(208, 214)(210, 217)(212, 219)(215, 221)(216, 222)(218, 225)(220, 227)(223, 229)(224, 230)(226, 231)(228, 232)
	L = (1, 117)(2, 118)(3, 119)(4, 120)(5, 121)(6, 122)(7, 123)(8, 124)(9, 125)(10, 126)(11, 127)(12, 128)(13, 129)(14, 130)(15, 131)(16, 132)(17, 133)(18, 134)(19, 135)(20, 136)(21, 137)(22, 138)(23, 139)(24, 140)(25, 141)(26, 142)(27, 143)(28, 144)(29, 145)(30, 146)(31, 147)(32, 148)(33, 149)(34, 150)(35, 151)(36, 152)(37, 153)(38, 154)(39, 155)(40, 156)(41, 157)(42, 158)(43, 159)(44, 160)(45, 161)(46, 162)(47, 163)(48, 164)(49, 165)(50, 166)(51, 167)(52, 168)(53, 169)(54, 170)(55, 171)(56, 172)(57, 173)(58, 174)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 116, 116 ), ( 116^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1150
Graph:: simple bipartite
	v = 60 e = 116 f = 2
	degree seq :: [ 2^58, 58^2 ]

E28.1136 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 29, 29})
Quotient :: edge^2
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y2)^2, (Y3^-1 * Y1)^2, Y2 * Y1 * Y2 * Y3^2 * Y1 * Y2 * Y1, Y2 * Y3^-1 * Y1 * Y3^8, (Y3 * Y1 * Y2)^29 ]
Map::
	R = (1, 59, 4, 62, 12, 70, 24, 82, 37, 95, 49, 107, 42, 100, 30, 88, 16, 74, 6, 64, 15, 73, 29, 87, 41, 99, 53, 111, 58, 116, 57, 115, 51, 109, 39, 97, 26, 84, 21, 79, 9, 67, 20, 78, 34, 92, 46, 104, 50, 108, 38, 96, 25, 83, 13, 71, 5, 63)(2, 60, 7, 65, 17, 75, 31, 89, 43, 101, 48, 106, 36, 94, 23, 81, 11, 69, 3, 61, 10, 68, 22, 80, 35, 93, 47, 105, 56, 114, 55, 113, 45, 103, 33, 91, 19, 77, 28, 86, 14, 72, 27, 85, 40, 98, 52, 110, 54, 112, 44, 102, 32, 90, 18, 76, 8, 66)(117, 118)(119, 125)(120, 124)(121, 123)(122, 130)(126, 137)(127, 136)(128, 134)(129, 133)(131, 144)(132, 143)(135, 145)(138, 142)(139, 150)(140, 148)(141, 147)(146, 156)(149, 157)(151, 155)(152, 162)(153, 160)(154, 159)(158, 168)(161, 169)(163, 167)(164, 166)(165, 170)(171, 174)(172, 173)(175, 177)(176, 180)(178, 185)(179, 184)(181, 190)(182, 189)(183, 193)(186, 197)(187, 196)(188, 200)(191, 204)(192, 203)(194, 207)(195, 202)(198, 210)(199, 209)(201, 213)(205, 216)(206, 215)(208, 219)(211, 222)(212, 221)(214, 225)(217, 223)(218, 227)(220, 229)(224, 230)(226, 231)(228, 232)
	L = (1, 117)(2, 118)(3, 119)(4, 120)(5, 121)(6, 122)(7, 123)(8, 124)(9, 125)(10, 126)(11, 127)(12, 128)(13, 129)(14, 130)(15, 131)(16, 132)(17, 133)(18, 134)(19, 135)(20, 136)(21, 137)(22, 138)(23, 139)(24, 140)(25, 141)(26, 142)(27, 143)(28, 144)(29, 145)(30, 146)(31, 147)(32, 148)(33, 149)(34, 150)(35, 151)(36, 152)(37, 153)(38, 154)(39, 155)(40, 156)(41, 157)(42, 158)(43, 159)(44, 160)(45, 161)(46, 162)(47, 163)(48, 164)(49, 165)(50, 166)(51, 167)(52, 168)(53, 169)(54, 170)(55, 171)(56, 172)(57, 173)(58, 174)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 116, 116 ), ( 116^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1143
Graph:: simple bipartite
	v = 60 e = 116 f = 2
	degree seq :: [ 2^58, 58^2 ]

E28.1137 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 29, 29})
Quotient :: edge^2
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, (Y3 * Y1)^2, Y2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y1, Y2 * Y3 * Y1 * Y3^-8, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 59, 4, 62, 12, 70, 24, 82, 37, 95, 49, 107, 46, 104, 34, 92, 21, 79, 9, 67, 20, 78, 26, 84, 39, 97, 51, 109, 57, 115, 58, 116, 53, 111, 42, 100, 30, 88, 16, 74, 6, 64, 15, 73, 29, 87, 41, 99, 50, 108, 38, 96, 25, 83, 13, 71, 5, 63)(2, 60, 7, 65, 17, 75, 31, 89, 43, 101, 54, 112, 52, 110, 40, 98, 28, 86, 14, 72, 27, 85, 19, 77, 33, 91, 45, 103, 55, 113, 56, 114, 48, 106, 36, 94, 23, 81, 11, 69, 3, 61, 10, 68, 22, 80, 35, 93, 47, 105, 44, 102, 32, 90, 18, 76, 8, 66)(117, 118)(119, 125)(120, 124)(121, 123)(122, 130)(126, 137)(127, 136)(128, 134)(129, 133)(131, 144)(132, 143)(135, 146)(138, 150)(139, 142)(140, 148)(141, 147)(145, 156)(149, 158)(151, 162)(152, 155)(153, 160)(154, 159)(157, 168)(161, 169)(163, 165)(164, 167)(166, 170)(171, 174)(172, 173)(175, 177)(176, 180)(178, 185)(179, 184)(181, 190)(182, 189)(183, 193)(186, 197)(187, 196)(188, 200)(191, 204)(192, 203)(194, 201)(195, 207)(198, 210)(199, 209)(202, 213)(205, 216)(206, 215)(208, 219)(211, 222)(212, 221)(214, 225)(217, 227)(218, 224)(220, 229)(223, 230)(226, 231)(228, 232)
	L = (1, 117)(2, 118)(3, 119)(4, 120)(5, 121)(6, 122)(7, 123)(8, 124)(9, 125)(10, 126)(11, 127)(12, 128)(13, 129)(14, 130)(15, 131)(16, 132)(17, 133)(18, 134)(19, 135)(20, 136)(21, 137)(22, 138)(23, 139)(24, 140)(25, 141)(26, 142)(27, 143)(28, 144)(29, 145)(30, 146)(31, 147)(32, 148)(33, 149)(34, 150)(35, 151)(36, 152)(37, 153)(38, 154)(39, 155)(40, 156)(41, 157)(42, 158)(43, 159)(44, 160)(45, 161)(46, 162)(47, 163)(48, 164)(49, 165)(50, 166)(51, 167)(52, 168)(53, 169)(54, 170)(55, 171)(56, 172)(57, 173)(58, 174)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 116, 116 ), ( 116^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1147
Graph:: simple bipartite
	v = 60 e = 116 f = 2
	degree seq :: [ 2^58, 58^2 ]

E28.1138 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 29, 29})
Quotient :: edge^2
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y3)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, Y3^-1 * Y1 * Y3^3 * Y2 * Y3^-1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y1, (Y3 * Y1 * Y2)^29 ]
Map::
	R = (1, 59, 4, 62, 12, 70, 24, 82, 16, 74, 6, 64, 15, 73, 29, 87, 40, 98, 38, 96, 26, 84, 37, 95, 49, 107, 58, 116, 51, 109, 46, 104, 56, 114, 54, 112, 43, 101, 31, 89, 42, 100, 45, 103, 34, 92, 21, 79, 9, 67, 20, 78, 25, 83, 13, 71, 5, 63)(2, 60, 7, 65, 17, 75, 23, 81, 11, 69, 3, 61, 10, 68, 22, 80, 35, 93, 33, 91, 19, 77, 32, 90, 44, 102, 55, 113, 53, 111, 41, 99, 52, 110, 57, 115, 48, 106, 36, 94, 47, 105, 50, 108, 39, 97, 28, 86, 14, 72, 27, 85, 30, 88, 18, 76, 8, 66)(117, 118)(119, 125)(120, 124)(121, 123)(122, 130)(126, 137)(127, 136)(128, 134)(129, 133)(131, 144)(132, 143)(135, 147)(138, 150)(139, 141)(140, 146)(142, 152)(145, 155)(148, 159)(149, 158)(151, 161)(153, 164)(154, 163)(156, 166)(157, 167)(160, 170)(162, 169)(165, 173)(168, 174)(171, 172)(175, 177)(176, 180)(178, 185)(179, 184)(181, 190)(182, 189)(183, 193)(186, 197)(187, 196)(188, 200)(191, 198)(192, 203)(194, 207)(195, 206)(199, 209)(201, 212)(202, 211)(204, 214)(205, 215)(208, 218)(210, 220)(213, 223)(216, 227)(217, 226)(219, 229)(221, 225)(222, 230)(224, 232)(228, 231)
	L = (1, 117)(2, 118)(3, 119)(4, 120)(5, 121)(6, 122)(7, 123)(8, 124)(9, 125)(10, 126)(11, 127)(12, 128)(13, 129)(14, 130)(15, 131)(16, 132)(17, 133)(18, 134)(19, 135)(20, 136)(21, 137)(22, 138)(23, 139)(24, 140)(25, 141)(26, 142)(27, 143)(28, 144)(29, 145)(30, 146)(31, 147)(32, 148)(33, 149)(34, 150)(35, 151)(36, 152)(37, 153)(38, 154)(39, 155)(40, 156)(41, 157)(42, 158)(43, 159)(44, 160)(45, 161)(46, 162)(47, 163)(48, 164)(49, 165)(50, 166)(51, 167)(52, 168)(53, 169)(54, 170)(55, 171)(56, 172)(57, 173)(58, 174)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 116, 116 ), ( 116^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1144
Graph:: simple bipartite
	v = 60 e = 116 f = 2
	degree seq :: [ 2^58, 58^2 ]

E28.1139 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 29, 29})
Quotient :: edge^2
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y3)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, Y3 * Y1 * Y3^-3 * Y2 * Y3, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3 * Y1, Y3^-2 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y1 * Y2 ]
Map::
	R = (1, 59, 4, 62, 12, 70, 24, 82, 21, 79, 9, 67, 20, 78, 34, 92, 45, 103, 43, 101, 31, 89, 42, 100, 54, 112, 56, 114, 46, 104, 51, 109, 58, 116, 49, 107, 38, 96, 26, 84, 37, 95, 40, 98, 29, 87, 16, 74, 6, 64, 15, 73, 25, 83, 13, 71, 5, 63)(2, 60, 7, 65, 17, 75, 30, 88, 28, 86, 14, 72, 27, 85, 39, 97, 50, 108, 48, 106, 36, 94, 47, 105, 57, 115, 53, 111, 41, 99, 52, 110, 55, 113, 44, 102, 33, 91, 19, 77, 32, 90, 35, 93, 23, 81, 11, 69, 3, 61, 10, 68, 22, 80, 18, 76, 8, 66)(117, 118)(119, 125)(120, 124)(121, 123)(122, 130)(126, 137)(127, 136)(128, 134)(129, 133)(131, 144)(132, 143)(135, 147)(138, 140)(139, 150)(141, 146)(142, 152)(145, 155)(148, 159)(149, 158)(151, 161)(153, 164)(154, 163)(156, 166)(157, 167)(160, 170)(162, 168)(165, 173)(169, 174)(171, 172)(175, 177)(176, 180)(178, 185)(179, 184)(181, 190)(182, 189)(183, 193)(186, 197)(187, 196)(188, 200)(191, 203)(192, 199)(194, 207)(195, 206)(198, 209)(201, 212)(202, 211)(204, 214)(205, 215)(208, 218)(210, 220)(213, 223)(216, 227)(217, 226)(219, 229)(221, 230)(222, 225)(224, 232)(228, 231)
	L = (1, 117)(2, 118)(3, 119)(4, 120)(5, 121)(6, 122)(7, 123)(8, 124)(9, 125)(10, 126)(11, 127)(12, 128)(13, 129)(14, 130)(15, 131)(16, 132)(17, 133)(18, 134)(19, 135)(20, 136)(21, 137)(22, 138)(23, 139)(24, 140)(25, 141)(26, 142)(27, 143)(28, 144)(29, 145)(30, 146)(31, 147)(32, 148)(33, 149)(34, 150)(35, 151)(36, 152)(37, 153)(38, 154)(39, 155)(40, 156)(41, 157)(42, 158)(43, 159)(44, 160)(45, 161)(46, 162)(47, 163)(48, 164)(49, 165)(50, 166)(51, 167)(52, 168)(53, 169)(54, 170)(55, 171)(56, 172)(57, 173)(58, 174)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 116, 116 ), ( 116^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1145
Graph:: simple bipartite
	v = 60 e = 116 f = 2
	degree seq :: [ 2^58, 58^2 ]

E28.1140 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 29, 29})
Quotient :: edge^2
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1 * Y3, Y1 * Y2 * Y3^-1, (R * Y3)^2, R * Y2 * R * Y1, Y3^29 ]
Map::
	R = (1, 59, 4, 62, 8, 66, 12, 70, 16, 74, 20, 78, 24, 82, 28, 86, 51, 109, 57, 115, 53, 111, 54, 112, 50, 108, 47, 105, 45, 103, 43, 101, 40, 98, 36, 94, 32, 90, 31, 89, 35, 93, 39, 97, 29, 87, 25, 83, 21, 79, 17, 75, 13, 71, 9, 67, 5, 63)(2, 60, 3, 61, 7, 65, 11, 69, 15, 73, 19, 77, 23, 81, 27, 85, 49, 107, 58, 116, 55, 113, 56, 114, 52, 110, 48, 106, 46, 104, 44, 102, 41, 99, 37, 95, 33, 91, 30, 88, 34, 92, 38, 96, 42, 100, 26, 84, 22, 80, 18, 76, 14, 72, 10, 68, 6, 64)(117, 118)(119, 121)(120, 122)(123, 125)(124, 126)(127, 129)(128, 130)(131, 133)(132, 134)(135, 137)(136, 138)(139, 141)(140, 142)(143, 145)(144, 158)(146, 169)(147, 171)(148, 172)(149, 170)(150, 173)(151, 174)(152, 168)(153, 166)(154, 167)(155, 165)(156, 164)(157, 163)(159, 162)(160, 161)(175, 177)(176, 178)(179, 181)(180, 182)(183, 185)(184, 186)(187, 189)(188, 190)(191, 193)(192, 194)(195, 197)(196, 198)(199, 201)(200, 202)(203, 223)(204, 228)(205, 230)(206, 226)(207, 224)(208, 227)(209, 229)(210, 222)(211, 221)(212, 231)(213, 232)(214, 220)(215, 219)(216, 225)(217, 218)
	L = (1, 117)(2, 118)(3, 119)(4, 120)(5, 121)(6, 122)(7, 123)(8, 124)(9, 125)(10, 126)(11, 127)(12, 128)(13, 129)(14, 130)(15, 131)(16, 132)(17, 133)(18, 134)(19, 135)(20, 136)(21, 137)(22, 138)(23, 139)(24, 140)(25, 141)(26, 142)(27, 143)(28, 144)(29, 145)(30, 146)(31, 147)(32, 148)(33, 149)(34, 150)(35, 151)(36, 152)(37, 153)(38, 154)(39, 155)(40, 156)(41, 157)(42, 158)(43, 159)(44, 160)(45, 161)(46, 162)(47, 163)(48, 164)(49, 165)(50, 166)(51, 167)(52, 168)(53, 169)(54, 170)(55, 171)(56, 172)(57, 173)(58, 174)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 116, 116 ), ( 116^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1149
Graph:: simple bipartite
	v = 60 e = 116 f = 2
	degree seq :: [ 2^58, 58^2 ]

E28.1141 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 29, 29})
Quotient :: edge^2
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y2 * Y3 * Y1^-1, Y2^29, Y1^29 ]
Map:: non-degenerate
	R = (1, 59, 4, 62)(2, 60, 6, 64)(3, 61, 8, 66)(5, 63, 10, 68)(7, 65, 12, 70)(9, 67, 14, 72)(11, 69, 16, 74)(13, 71, 18, 76)(15, 73, 20, 78)(17, 75, 22, 80)(19, 77, 24, 82)(21, 79, 26, 84)(23, 81, 28, 86)(25, 83, 41, 99)(27, 85, 29, 87)(30, 88, 43, 101)(31, 89, 45, 103)(32, 90, 46, 104)(33, 91, 47, 105)(34, 92, 48, 106)(35, 93, 49, 107)(36, 94, 50, 108)(37, 95, 51, 109)(38, 96, 52, 110)(39, 97, 53, 111)(40, 98, 54, 112)(42, 100, 56, 114)(44, 102, 58, 116)(55, 113, 57, 115)(117, 118, 121, 125, 129, 133, 137, 141, 147, 149, 151, 153, 155, 158, 171, 174, 170, 168, 166, 164, 162, 159, 143, 139, 135, 131, 127, 123, 119)(120, 124, 128, 132, 136, 140, 144, 145, 146, 148, 150, 152, 154, 156, 160, 173, 172, 169, 167, 165, 163, 161, 157, 142, 138, 134, 130, 126, 122)(175, 177, 181, 185, 189, 193, 197, 201, 217, 220, 222, 224, 226, 228, 232, 229, 216, 213, 211, 209, 207, 205, 199, 195, 191, 187, 183, 179, 176)(178, 180, 184, 188, 192, 196, 200, 215, 219, 221, 223, 225, 227, 230, 231, 218, 214, 212, 210, 208, 206, 204, 203, 202, 198, 194, 190, 186, 182)
	L = (1, 117)(2, 118)(3, 119)(4, 120)(5, 121)(6, 122)(7, 123)(8, 124)(9, 125)(10, 126)(11, 127)(12, 128)(13, 129)(14, 130)(15, 131)(16, 132)(17, 133)(18, 134)(19, 135)(20, 136)(21, 137)(22, 138)(23, 139)(24, 140)(25, 141)(26, 142)(27, 143)(28, 144)(29, 145)(30, 146)(31, 147)(32, 148)(33, 149)(34, 150)(35, 151)(36, 152)(37, 153)(38, 154)(39, 155)(40, 156)(41, 157)(42, 158)(43, 159)(44, 160)(45, 161)(46, 162)(47, 163)(48, 164)(49, 165)(50, 166)(51, 167)(52, 168)(53, 169)(54, 170)(55, 171)(56, 172)(57, 173)(58, 174)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 8^4 ), ( 8^29 ) }
Outer automorphisms :: reflexible
Dual of E28.1156
Graph:: simple bipartite
	v = 33 e = 116 f = 29
	degree seq :: [ 4^29, 29^4 ]

E28.1142 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 29, 29})
Quotient :: loop^2
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y1 * Y2, R * Y2 * R * Y1, (Y3 * Y2)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, Y3^29 ]
Map::
	R = (1, 59, 117, 175, 3, 61, 119, 177, 7, 65, 123, 181, 11, 69, 127, 185, 15, 73, 131, 189, 19, 77, 135, 193, 23, 81, 139, 197, 27, 85, 143, 201, 43, 101, 159, 217, 46, 104, 162, 220, 48, 106, 164, 222, 50, 108, 166, 224, 52, 110, 168, 226, 54, 112, 170, 228, 58, 116, 174, 232, 55, 113, 171, 229, 42, 100, 158, 216, 39, 97, 155, 213, 37, 95, 153, 211, 35, 93, 151, 209, 33, 91, 149, 207, 31, 89, 147, 205, 28, 86, 144, 202, 24, 82, 140, 198, 20, 78, 136, 194, 16, 74, 132, 190, 12, 70, 128, 186, 8, 66, 124, 182, 4, 62, 120, 178)(2, 60, 118, 176, 5, 63, 121, 179, 9, 67, 125, 183, 13, 71, 129, 187, 17, 75, 133, 191, 21, 79, 137, 195, 25, 83, 141, 199, 41, 99, 157, 215, 45, 103, 161, 219, 47, 105, 163, 221, 49, 107, 165, 223, 51, 109, 167, 225, 53, 111, 169, 227, 56, 114, 172, 230, 57, 115, 173, 231, 44, 102, 160, 218, 40, 98, 156, 214, 38, 96, 154, 212, 36, 94, 152, 210, 34, 92, 150, 208, 32, 90, 148, 206, 30, 88, 146, 204, 29, 87, 145, 203, 26, 84, 142, 200, 22, 80, 138, 196, 18, 76, 134, 192, 14, 72, 130, 188, 10, 68, 126, 184, 6, 64, 122, 180)
	L = (1, 60)(2, 59)(3, 64)(4, 63)(5, 62)(6, 61)(7, 68)(8, 67)(9, 66)(10, 65)(11, 72)(12, 71)(13, 70)(14, 69)(15, 76)(16, 75)(17, 74)(18, 73)(19, 80)(20, 79)(21, 78)(22, 77)(23, 84)(24, 83)(25, 82)(26, 81)(27, 87)(28, 99)(29, 85)(30, 101)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 86)(42, 114)(43, 88)(44, 116)(45, 89)(46, 90)(47, 91)(48, 92)(49, 93)(50, 94)(51, 95)(52, 96)(53, 97)(54, 98)(55, 115)(56, 100)(57, 113)(58, 102)(117, 176)(118, 175)(119, 180)(120, 179)(121, 178)(122, 177)(123, 184)(124, 183)(125, 182)(126, 181)(127, 188)(128, 187)(129, 186)(130, 185)(131, 192)(132, 191)(133, 190)(134, 189)(135, 196)(136, 195)(137, 194)(138, 193)(139, 200)(140, 199)(141, 198)(142, 197)(143, 203)(144, 215)(145, 201)(146, 217)(147, 219)(148, 220)(149, 221)(150, 222)(151, 223)(152, 224)(153, 225)(154, 226)(155, 227)(156, 228)(157, 202)(158, 230)(159, 204)(160, 232)(161, 205)(162, 206)(163, 207)(164, 208)(165, 209)(166, 210)(167, 211)(168, 212)(169, 213)(170, 214)(171, 231)(172, 216)(173, 229)(174, 218)
	local type(s) :: { ( 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1127
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 116 f = 60
	degree seq :: [ 116^2 ]

E28.1143 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 29, 29})
Quotient :: loop^2
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3^-1 * Y2)^2, Y3^-2 * Y2 * Y3^2 * Y1, Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2, Y1 * Y3 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y1 * Y2 ]
Map::
	R = (1, 59, 117, 175, 4, 62, 120, 178, 12, 70, 128, 186, 21, 79, 137, 195, 9, 67, 125, 183, 20, 78, 136, 194, 30, 88, 146, 204, 37, 95, 153, 211, 27, 85, 143, 201, 36, 94, 152, 210, 46, 104, 162, 220, 53, 111, 169, 227, 43, 101, 159, 217, 52, 110, 168, 226, 58, 116, 174, 232, 56, 114, 172, 230, 49, 107, 165, 223, 39, 97, 155, 213, 48, 106, 164, 222, 42, 100, 158, 216, 33, 91, 149, 207, 23, 81, 139, 197, 32, 90, 148, 206, 26, 84, 142, 200, 16, 74, 132, 190, 6, 64, 122, 180, 15, 73, 131, 189, 13, 71, 129, 187, 5, 63, 121, 179)(2, 60, 118, 176, 7, 65, 123, 181, 17, 75, 133, 191, 25, 83, 141, 199, 14, 72, 130, 188, 24, 82, 140, 198, 34, 92, 150, 208, 41, 99, 157, 215, 31, 89, 147, 205, 40, 98, 156, 214, 50, 108, 166, 224, 55, 113, 171, 229, 47, 105, 163, 221, 51, 109, 167, 225, 57, 115, 173, 231, 54, 112, 170, 228, 45, 103, 161, 219, 35, 93, 151, 209, 44, 102, 160, 218, 38, 96, 154, 212, 29, 87, 145, 203, 19, 77, 135, 193, 28, 86, 144, 202, 22, 80, 138, 196, 11, 69, 127, 185, 3, 61, 119, 177, 10, 68, 126, 184, 18, 76, 134, 192, 8, 66, 124, 182)
	L = (1, 60)(2, 59)(3, 67)(4, 66)(5, 65)(6, 72)(7, 63)(8, 62)(9, 61)(10, 79)(11, 78)(12, 76)(13, 75)(14, 64)(15, 83)(16, 82)(17, 71)(18, 70)(19, 85)(20, 69)(21, 68)(22, 88)(23, 89)(24, 74)(25, 73)(26, 92)(27, 77)(28, 95)(29, 94)(30, 80)(31, 81)(32, 99)(33, 98)(34, 84)(35, 101)(36, 87)(37, 86)(38, 104)(39, 105)(40, 91)(41, 90)(42, 108)(43, 93)(44, 111)(45, 110)(46, 96)(47, 97)(48, 113)(49, 109)(50, 100)(51, 107)(52, 103)(53, 102)(54, 116)(55, 106)(56, 115)(57, 114)(58, 112)(117, 177)(118, 180)(119, 175)(120, 185)(121, 184)(122, 176)(123, 190)(124, 189)(125, 193)(126, 179)(127, 178)(128, 196)(129, 192)(130, 197)(131, 182)(132, 181)(133, 200)(134, 187)(135, 183)(136, 203)(137, 202)(138, 186)(139, 188)(140, 207)(141, 206)(142, 191)(143, 209)(144, 195)(145, 194)(146, 212)(147, 213)(148, 199)(149, 198)(150, 216)(151, 201)(152, 219)(153, 218)(154, 204)(155, 205)(156, 223)(157, 222)(158, 208)(159, 225)(160, 211)(161, 210)(162, 228)(163, 226)(164, 215)(165, 214)(166, 230)(167, 217)(168, 221)(169, 231)(170, 220)(171, 232)(172, 224)(173, 227)(174, 229)
	local type(s) :: { ( 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1136
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 116 f = 60
	degree seq :: [ 116^2 ]

E28.1144 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 29, 29})
Quotient :: loop^2
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3^-1 * Y2)^2, Y3^3 * Y2 * Y3^-1 * Y1, Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2, (Y3 * Y1 * Y2)^29 ]
Map::
	R = (1, 59, 117, 175, 4, 62, 120, 178, 12, 70, 128, 186, 16, 74, 132, 190, 6, 64, 122, 180, 15, 73, 131, 189, 26, 84, 142, 200, 33, 91, 149, 207, 23, 81, 139, 197, 32, 90, 148, 206, 42, 100, 158, 216, 49, 107, 165, 223, 39, 97, 155, 213, 48, 106, 164, 222, 56, 114, 172, 230, 58, 116, 174, 232, 53, 111, 169, 227, 43, 101, 159, 217, 52, 110, 168, 226, 46, 104, 162, 220, 37, 95, 153, 211, 27, 85, 143, 201, 36, 94, 152, 210, 30, 88, 146, 204, 21, 79, 137, 195, 9, 67, 125, 183, 20, 78, 136, 194, 13, 71, 129, 187, 5, 63, 121, 179)(2, 60, 118, 176, 7, 65, 123, 181, 17, 75, 133, 191, 11, 69, 127, 185, 3, 61, 119, 177, 10, 68, 126, 184, 22, 80, 138, 196, 29, 87, 145, 203, 19, 77, 135, 193, 28, 86, 144, 202, 38, 96, 154, 212, 45, 103, 161, 219, 35, 93, 151, 209, 44, 102, 160, 218, 54, 112, 170, 228, 57, 115, 173, 231, 51, 109, 167, 225, 47, 105, 163, 221, 55, 113, 171, 229, 50, 108, 166, 224, 41, 99, 157, 215, 31, 89, 147, 205, 40, 98, 156, 214, 34, 92, 150, 208, 25, 83, 141, 199, 14, 72, 130, 188, 24, 82, 140, 198, 18, 76, 134, 192, 8, 66, 124, 182)
	L = (1, 60)(2, 59)(3, 67)(4, 66)(5, 65)(6, 72)(7, 63)(8, 62)(9, 61)(10, 79)(11, 78)(12, 76)(13, 75)(14, 64)(15, 83)(16, 82)(17, 71)(18, 70)(19, 85)(20, 69)(21, 68)(22, 88)(23, 89)(24, 74)(25, 73)(26, 92)(27, 77)(28, 95)(29, 94)(30, 80)(31, 81)(32, 99)(33, 98)(34, 84)(35, 101)(36, 87)(37, 86)(38, 104)(39, 105)(40, 91)(41, 90)(42, 108)(43, 93)(44, 111)(45, 110)(46, 96)(47, 97)(48, 109)(49, 113)(50, 100)(51, 106)(52, 103)(53, 102)(54, 116)(55, 107)(56, 115)(57, 114)(58, 112)(117, 177)(118, 180)(119, 175)(120, 185)(121, 184)(122, 176)(123, 190)(124, 189)(125, 193)(126, 179)(127, 178)(128, 191)(129, 196)(130, 197)(131, 182)(132, 181)(133, 186)(134, 200)(135, 183)(136, 203)(137, 202)(138, 187)(139, 188)(140, 207)(141, 206)(142, 192)(143, 209)(144, 195)(145, 194)(146, 212)(147, 213)(148, 199)(149, 198)(150, 216)(151, 201)(152, 219)(153, 218)(154, 204)(155, 205)(156, 223)(157, 222)(158, 208)(159, 225)(160, 211)(161, 210)(162, 228)(163, 227)(164, 215)(165, 214)(166, 230)(167, 217)(168, 231)(169, 221)(170, 220)(171, 232)(172, 224)(173, 226)(174, 229)
	local type(s) :: { ( 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1138
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 116 f = 60
	degree seq :: [ 116^2 ]

E28.1145 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 29, 29})
Quotient :: loop^2
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y2)^2, (Y3 * Y1)^2, (Y3^-3 * Y1)^2, Y2 * Y1 * Y3^2 * Y1 * Y2 * Y3^-2, Y3^-8 * Y2 * Y1, Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-3 * Y1 * Y2, Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-2 * Y2 * Y1 * Y2 ]
Map::
	R = (1, 59, 117, 175, 4, 62, 120, 178, 12, 70, 128, 186, 24, 82, 140, 198, 40, 98, 156, 214, 57, 115, 173, 231, 37, 95, 153, 211, 21, 79, 137, 195, 9, 67, 125, 183, 20, 78, 136, 194, 36, 94, 152, 210, 56, 114, 172, 230, 44, 102, 160, 218, 26, 84, 142, 200, 43, 101, 159, 217, 53, 111, 169, 227, 33, 91, 149, 207, 52, 110, 168, 226, 48, 106, 164, 222, 30, 88, 146, 204, 16, 74, 132, 190, 6, 64, 122, 180, 15, 73, 131, 189, 29, 87, 145, 203, 47, 105, 163, 221, 41, 99, 157, 215, 25, 83, 141, 199, 13, 71, 129, 187, 5, 63, 121, 179)(2, 60, 118, 176, 7, 65, 123, 181, 17, 75, 133, 191, 31, 89, 147, 205, 49, 107, 165, 223, 51, 109, 167, 225, 46, 104, 162, 220, 28, 86, 144, 202, 14, 72, 130, 188, 27, 85, 143, 201, 45, 103, 161, 219, 55, 113, 171, 229, 35, 93, 151, 209, 19, 77, 135, 193, 34, 92, 150, 208, 54, 112, 170, 228, 42, 100, 158, 216, 58, 116, 174, 232, 39, 97, 155, 213, 23, 81, 139, 197, 11, 69, 127, 185, 3, 61, 119, 177, 10, 68, 126, 184, 22, 80, 138, 196, 38, 96, 154, 212, 50, 108, 166, 224, 32, 90, 148, 206, 18, 76, 134, 192, 8, 66, 124, 182)
	L = (1, 60)(2, 59)(3, 67)(4, 66)(5, 65)(6, 72)(7, 63)(8, 62)(9, 61)(10, 79)(11, 78)(12, 76)(13, 75)(14, 64)(15, 86)(16, 85)(17, 71)(18, 70)(19, 91)(20, 69)(21, 68)(22, 95)(23, 94)(24, 90)(25, 89)(26, 100)(27, 74)(28, 73)(29, 104)(30, 103)(31, 83)(32, 82)(33, 77)(34, 111)(35, 110)(36, 81)(37, 80)(38, 115)(39, 114)(40, 108)(41, 107)(42, 84)(43, 112)(44, 116)(45, 88)(46, 87)(47, 109)(48, 113)(49, 99)(50, 98)(51, 105)(52, 93)(53, 92)(54, 101)(55, 106)(56, 97)(57, 96)(58, 102)(117, 177)(118, 180)(119, 175)(120, 185)(121, 184)(122, 176)(123, 190)(124, 189)(125, 193)(126, 179)(127, 178)(128, 197)(129, 196)(130, 200)(131, 182)(132, 181)(133, 204)(134, 203)(135, 183)(136, 209)(137, 208)(138, 187)(139, 186)(140, 213)(141, 212)(142, 188)(143, 218)(144, 217)(145, 192)(146, 191)(147, 222)(148, 221)(149, 225)(150, 195)(151, 194)(152, 229)(153, 228)(154, 199)(155, 198)(156, 232)(157, 224)(158, 231)(159, 202)(160, 201)(161, 230)(162, 227)(163, 206)(164, 205)(165, 226)(166, 215)(167, 207)(168, 223)(169, 220)(170, 211)(171, 210)(172, 219)(173, 216)(174, 214)
	local type(s) :: { ( 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1139
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 116 f = 60
	degree seq :: [ 116^2 ]

E28.1146 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 29, 29})
Quotient :: loop^2
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3^-1 * Y1)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y2)^2, Y3 * Y1 * Y3^-1 * Y2 * Y3^-2 * Y2 * Y1, Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y3 * Y2, Y3^2 * Y2 * Y3^-6 * Y1, Y1 * Y2 * Y1 * Y2 * Y1 * Y3^-5 * Y2, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 59, 117, 175, 4, 62, 120, 178, 12, 70, 128, 186, 24, 82, 140, 198, 40, 98, 156, 214, 48, 106, 164, 222, 30, 88, 146, 204, 16, 74, 132, 190, 6, 64, 122, 180, 15, 73, 131, 189, 29, 87, 145, 203, 47, 105, 163, 221, 53, 111, 169, 227, 33, 91, 149, 207, 52, 110, 168, 226, 44, 102, 160, 218, 26, 84, 142, 200, 43, 101, 159, 217, 57, 115, 173, 231, 37, 95, 153, 211, 21, 79, 137, 195, 9, 67, 125, 183, 20, 78, 136, 194, 36, 94, 152, 210, 56, 114, 172, 230, 41, 99, 157, 215, 25, 83, 141, 199, 13, 71, 129, 187, 5, 63, 121, 179)(2, 60, 118, 176, 7, 65, 123, 181, 17, 75, 133, 191, 31, 89, 147, 205, 49, 107, 165, 223, 39, 97, 155, 213, 23, 81, 139, 197, 11, 69, 127, 185, 3, 61, 119, 177, 10, 68, 126, 184, 22, 80, 138, 196, 38, 96, 154, 212, 58, 116, 174, 232, 42, 100, 158, 216, 55, 113, 171, 229, 35, 93, 151, 209, 19, 77, 135, 193, 34, 92, 150, 208, 54, 112, 170, 228, 46, 104, 162, 220, 28, 86, 144, 202, 14, 72, 130, 188, 27, 85, 143, 201, 45, 103, 161, 219, 51, 109, 167, 225, 50, 108, 166, 224, 32, 90, 148, 206, 18, 76, 134, 192, 8, 66, 124, 182)
	L = (1, 60)(2, 59)(3, 67)(4, 66)(5, 65)(6, 72)(7, 63)(8, 62)(9, 61)(10, 79)(11, 78)(12, 76)(13, 75)(14, 64)(15, 86)(16, 85)(17, 71)(18, 70)(19, 91)(20, 69)(21, 68)(22, 95)(23, 94)(24, 90)(25, 89)(26, 100)(27, 74)(28, 73)(29, 104)(30, 103)(31, 83)(32, 82)(33, 77)(34, 111)(35, 110)(36, 81)(37, 80)(38, 115)(39, 114)(40, 108)(41, 107)(42, 84)(43, 116)(44, 113)(45, 88)(46, 87)(47, 112)(48, 109)(49, 99)(50, 98)(51, 106)(52, 93)(53, 92)(54, 105)(55, 102)(56, 97)(57, 96)(58, 101)(117, 177)(118, 180)(119, 175)(120, 185)(121, 184)(122, 176)(123, 190)(124, 189)(125, 193)(126, 179)(127, 178)(128, 197)(129, 196)(130, 200)(131, 182)(132, 181)(133, 204)(134, 203)(135, 183)(136, 209)(137, 208)(138, 187)(139, 186)(140, 213)(141, 212)(142, 188)(143, 218)(144, 217)(145, 192)(146, 191)(147, 222)(148, 221)(149, 225)(150, 195)(151, 194)(152, 229)(153, 228)(154, 199)(155, 198)(156, 223)(157, 232)(158, 230)(159, 202)(160, 201)(161, 226)(162, 231)(163, 206)(164, 205)(165, 214)(166, 227)(167, 207)(168, 219)(169, 224)(170, 211)(171, 210)(172, 216)(173, 220)(174, 215)
	local type(s) :: { ( 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1133
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 116 f = 60
	degree seq :: [ 116^2 ]

E28.1147 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 29, 29})
Quotient :: loop^2
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, (Y3^-1 * Y1)^2, Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y3^4, Y2 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1, (Y3 * Y1 * Y2)^29 ]
Map::
	R = (1, 59, 117, 175, 4, 62, 120, 178, 12, 70, 128, 186, 24, 82, 140, 198, 40, 98, 156, 214, 26, 84, 142, 200, 43, 101, 159, 217, 54, 112, 170, 228, 58, 116, 174, 232, 50, 108, 166, 224, 37, 95, 153, 211, 21, 79, 137, 195, 9, 67, 125, 183, 20, 78, 136, 194, 36, 94, 152, 210, 30, 88, 146, 204, 16, 74, 132, 190, 6, 64, 122, 180, 15, 73, 131, 189, 29, 87, 145, 203, 45, 103, 161, 219, 56, 114, 172, 230, 52, 110, 168, 226, 48, 106, 164, 222, 33, 91, 149, 207, 41, 99, 157, 215, 25, 83, 141, 199, 13, 71, 129, 187, 5, 63, 121, 179)(2, 60, 118, 176, 7, 65, 123, 181, 17, 75, 133, 191, 31, 89, 147, 205, 35, 93, 151, 209, 19, 77, 135, 193, 34, 92, 150, 208, 49, 107, 165, 223, 57, 115, 173, 231, 55, 113, 171, 229, 44, 102, 160, 218, 28, 86, 144, 202, 14, 72, 130, 188, 27, 85, 143, 201, 39, 97, 155, 213, 23, 81, 139, 197, 11, 69, 127, 185, 3, 61, 119, 177, 10, 68, 126, 184, 22, 80, 138, 196, 38, 96, 154, 212, 51, 109, 167, 225, 47, 105, 163, 221, 53, 111, 169, 227, 42, 100, 158, 216, 46, 104, 162, 220, 32, 90, 148, 206, 18, 76, 134, 192, 8, 66, 124, 182)
	L = (1, 60)(2, 59)(3, 67)(4, 66)(5, 65)(6, 72)(7, 63)(8, 62)(9, 61)(10, 79)(11, 78)(12, 76)(13, 75)(14, 64)(15, 86)(16, 85)(17, 71)(18, 70)(19, 91)(20, 69)(21, 68)(22, 95)(23, 94)(24, 90)(25, 89)(26, 100)(27, 74)(28, 73)(29, 102)(30, 97)(31, 83)(32, 82)(33, 77)(34, 106)(35, 99)(36, 81)(37, 80)(38, 108)(39, 88)(40, 104)(41, 93)(42, 84)(43, 111)(44, 87)(45, 113)(46, 98)(47, 112)(48, 92)(49, 110)(50, 96)(51, 116)(52, 107)(53, 101)(54, 105)(55, 103)(56, 115)(57, 114)(58, 109)(117, 177)(118, 180)(119, 175)(120, 185)(121, 184)(122, 176)(123, 190)(124, 189)(125, 193)(126, 179)(127, 178)(128, 197)(129, 196)(130, 200)(131, 182)(132, 181)(133, 204)(134, 203)(135, 183)(136, 209)(137, 208)(138, 187)(139, 186)(140, 213)(141, 212)(142, 188)(143, 214)(144, 217)(145, 192)(146, 191)(147, 210)(148, 219)(149, 221)(150, 195)(151, 194)(152, 205)(153, 223)(154, 199)(155, 198)(156, 201)(157, 225)(158, 226)(159, 202)(160, 228)(161, 206)(162, 230)(163, 207)(164, 227)(165, 211)(166, 231)(167, 215)(168, 216)(169, 222)(170, 218)(171, 232)(172, 220)(173, 224)(174, 229)
	local type(s) :: { ( 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1137
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 116 f = 60
	degree seq :: [ 116^2 ]

E28.1148 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 29, 29})
Quotient :: loop^2
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, (Y3^-1 * Y1)^2, Y3^-2 * Y2 * Y3^2 * Y1 * Y2 * Y1 * Y3^-1, Y2 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1, (Y3 * Y1 * Y2)^29 ]
Map::
	R = (1, 59, 117, 175, 4, 62, 120, 178, 12, 70, 128, 186, 24, 82, 140, 198, 40, 98, 156, 214, 33, 91, 149, 207, 48, 106, 164, 222, 52, 110, 168, 226, 56, 114, 172, 230, 45, 103, 161, 219, 30, 88, 146, 204, 16, 74, 132, 190, 6, 64, 122, 180, 15, 73, 131, 189, 29, 87, 145, 203, 37, 95, 153, 211, 21, 79, 137, 195, 9, 67, 125, 183, 20, 78, 136, 194, 36, 94, 152, 210, 50, 108, 166, 224, 58, 116, 174, 232, 54, 112, 170, 228, 43, 101, 159, 217, 26, 84, 142, 200, 41, 99, 157, 215, 25, 83, 141, 199, 13, 71, 129, 187, 5, 63, 121, 179)(2, 60, 118, 176, 7, 65, 123, 181, 17, 75, 133, 191, 31, 89, 147, 205, 46, 104, 162, 220, 42, 100, 158, 216, 53, 111, 169, 227, 47, 105, 163, 221, 51, 109, 167, 225, 39, 97, 155, 213, 23, 81, 139, 197, 11, 69, 127, 185, 3, 61, 119, 177, 10, 68, 126, 184, 22, 80, 138, 196, 38, 96, 154, 212, 28, 86, 144, 202, 14, 72, 130, 188, 27, 85, 143, 201, 44, 102, 160, 218, 55, 113, 171, 229, 57, 115, 173, 231, 49, 107, 165, 223, 35, 93, 151, 209, 19, 77, 135, 193, 34, 92, 150, 208, 32, 90, 148, 206, 18, 76, 134, 192, 8, 66, 124, 182)
	L = (1, 60)(2, 59)(3, 67)(4, 66)(5, 65)(6, 72)(7, 63)(8, 62)(9, 61)(10, 79)(11, 78)(12, 76)(13, 75)(14, 64)(15, 86)(16, 85)(17, 71)(18, 70)(19, 91)(20, 69)(21, 68)(22, 95)(23, 94)(24, 90)(25, 89)(26, 100)(27, 74)(28, 73)(29, 96)(30, 102)(31, 83)(32, 82)(33, 77)(34, 98)(35, 106)(36, 81)(37, 80)(38, 87)(39, 108)(40, 92)(41, 104)(42, 84)(43, 111)(44, 88)(45, 113)(46, 99)(47, 112)(48, 93)(49, 110)(50, 97)(51, 116)(52, 107)(53, 101)(54, 105)(55, 103)(56, 115)(57, 114)(58, 109)(117, 177)(118, 180)(119, 175)(120, 185)(121, 184)(122, 176)(123, 190)(124, 189)(125, 193)(126, 179)(127, 178)(128, 197)(129, 196)(130, 200)(131, 182)(132, 181)(133, 204)(134, 203)(135, 183)(136, 209)(137, 208)(138, 187)(139, 186)(140, 213)(141, 212)(142, 188)(143, 217)(144, 215)(145, 192)(146, 191)(147, 219)(148, 211)(149, 221)(150, 195)(151, 194)(152, 223)(153, 206)(154, 199)(155, 198)(156, 225)(157, 202)(158, 226)(159, 201)(160, 228)(161, 205)(162, 230)(163, 207)(164, 227)(165, 210)(166, 231)(167, 214)(168, 216)(169, 222)(170, 218)(171, 232)(172, 220)(173, 224)(174, 229)
	local type(s) :: { ( 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1131
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 116 f = 60
	degree seq :: [ 116^2 ]

E28.1149 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 29, 29})
Quotient :: loop^2
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3^-1 * Y2)^2, Y2 * Y1 * Y2 * Y3^3 * Y1, Y3^-1 * Y1 * Y3^4 * Y2 * Y3^-8, (Y3 * Y1 * Y2)^29 ]
Map::
	R = (1, 59, 117, 175, 4, 62, 120, 178, 12, 70, 128, 186, 24, 82, 140, 198, 32, 90, 148, 206, 40, 98, 156, 214, 48, 106, 164, 222, 56, 114, 172, 230, 51, 109, 167, 225, 43, 101, 159, 217, 35, 93, 151, 209, 27, 85, 143, 201, 16, 74, 132, 190, 6, 64, 122, 180, 15, 73, 131, 189, 21, 79, 137, 195, 9, 67, 125, 183, 20, 78, 136, 194, 30, 88, 146, 204, 38, 96, 154, 212, 46, 104, 162, 220, 54, 112, 170, 228, 57, 115, 173, 231, 49, 107, 165, 223, 41, 99, 157, 215, 33, 91, 149, 207, 25, 83, 141, 199, 13, 71, 129, 187, 5, 63, 121, 179)(2, 60, 118, 176, 7, 65, 123, 181, 17, 75, 133, 191, 28, 86, 144, 202, 36, 94, 152, 210, 44, 102, 160, 218, 52, 110, 168, 226, 55, 113, 171, 229, 47, 105, 163, 221, 39, 97, 155, 213, 31, 89, 147, 205, 23, 81, 139, 197, 11, 69, 127, 185, 3, 61, 119, 177, 10, 68, 126, 184, 22, 80, 138, 196, 14, 72, 130, 188, 26, 84, 142, 200, 34, 92, 150, 208, 42, 100, 158, 216, 50, 108, 166, 224, 58, 116, 174, 232, 53, 111, 169, 227, 45, 103, 161, 219, 37, 95, 153, 211, 29, 87, 145, 203, 19, 77, 135, 193, 18, 76, 134, 192, 8, 66, 124, 182)
	L = (1, 60)(2, 59)(3, 67)(4, 66)(5, 65)(6, 72)(7, 63)(8, 62)(9, 61)(10, 79)(11, 78)(12, 76)(13, 75)(14, 64)(15, 80)(16, 84)(17, 71)(18, 70)(19, 82)(20, 69)(21, 68)(22, 73)(23, 88)(24, 77)(25, 86)(26, 74)(27, 92)(28, 83)(29, 90)(30, 81)(31, 96)(32, 87)(33, 94)(34, 85)(35, 100)(36, 91)(37, 98)(38, 89)(39, 104)(40, 95)(41, 102)(42, 93)(43, 108)(44, 99)(45, 106)(46, 97)(47, 112)(48, 103)(49, 110)(50, 101)(51, 116)(52, 107)(53, 114)(54, 105)(55, 115)(56, 111)(57, 113)(58, 109)(117, 177)(118, 180)(119, 175)(120, 185)(121, 184)(122, 176)(123, 190)(124, 189)(125, 193)(126, 179)(127, 178)(128, 197)(129, 196)(130, 199)(131, 182)(132, 181)(133, 201)(134, 195)(135, 183)(136, 203)(137, 192)(138, 187)(139, 186)(140, 205)(141, 188)(142, 207)(143, 191)(144, 209)(145, 194)(146, 211)(147, 198)(148, 213)(149, 200)(150, 215)(151, 202)(152, 217)(153, 204)(154, 219)(155, 206)(156, 221)(157, 208)(158, 223)(159, 210)(160, 225)(161, 212)(162, 227)(163, 214)(164, 229)(165, 216)(166, 231)(167, 218)(168, 230)(169, 220)(170, 232)(171, 222)(172, 226)(173, 224)(174, 228)
	local type(s) :: { ( 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1140
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 116 f = 60
	degree seq :: [ 116^2 ]

E28.1150 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 29, 29})
Quotient :: loop^2
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3 * Y2)^2, Y1 * Y2 * Y1 * Y3 * Y2 * Y3^-2, Y3^5 * Y1 * Y2 * Y3^8, (Y3 * Y1 * Y2)^29 ]
Map::
	R = (1, 59, 117, 175, 4, 62, 120, 178, 12, 70, 128, 186, 24, 82, 140, 198, 32, 90, 148, 206, 40, 98, 156, 214, 48, 106, 164, 222, 56, 114, 172, 230, 54, 112, 170, 228, 46, 104, 162, 220, 38, 96, 154, 212, 30, 88, 146, 204, 21, 79, 137, 195, 9, 67, 125, 183, 20, 78, 136, 194, 16, 74, 132, 190, 6, 64, 122, 180, 15, 73, 131, 189, 27, 85, 143, 201, 35, 93, 151, 209, 43, 101, 159, 217, 51, 109, 167, 225, 57, 115, 173, 231, 49, 107, 165, 223, 41, 99, 157, 215, 33, 91, 149, 207, 25, 83, 141, 199, 13, 71, 129, 187, 5, 63, 121, 179)(2, 60, 118, 176, 7, 65, 123, 181, 17, 75, 133, 191, 19, 77, 135, 193, 29, 87, 145, 203, 37, 95, 153, 211, 45, 103, 161, 219, 53, 111, 169, 227, 58, 116, 174, 232, 50, 108, 166, 224, 42, 100, 158, 216, 34, 92, 150, 208, 26, 84, 142, 200, 14, 72, 130, 188, 23, 81, 139, 197, 11, 69, 127, 185, 3, 61, 119, 177, 10, 68, 126, 184, 22, 80, 138, 196, 31, 89, 147, 205, 39, 97, 155, 213, 47, 105, 163, 221, 55, 113, 171, 229, 52, 110, 168, 226, 44, 102, 160, 218, 36, 94, 152, 210, 28, 86, 144, 202, 18, 76, 134, 192, 8, 66, 124, 182)
	L = (1, 60)(2, 59)(3, 67)(4, 66)(5, 65)(6, 72)(7, 63)(8, 62)(9, 61)(10, 79)(11, 78)(12, 76)(13, 75)(14, 64)(15, 84)(16, 81)(17, 71)(18, 70)(19, 83)(20, 69)(21, 68)(22, 88)(23, 74)(24, 86)(25, 77)(26, 73)(27, 92)(28, 82)(29, 91)(30, 80)(31, 96)(32, 94)(33, 87)(34, 85)(35, 100)(36, 90)(37, 99)(38, 89)(39, 104)(40, 102)(41, 95)(42, 93)(43, 108)(44, 98)(45, 107)(46, 97)(47, 112)(48, 110)(49, 103)(50, 101)(51, 116)(52, 106)(53, 115)(54, 105)(55, 114)(56, 113)(57, 111)(58, 109)(117, 177)(118, 180)(119, 175)(120, 185)(121, 184)(122, 176)(123, 190)(124, 189)(125, 193)(126, 179)(127, 178)(128, 197)(129, 196)(130, 198)(131, 182)(132, 181)(133, 194)(134, 201)(135, 183)(136, 191)(137, 203)(138, 187)(139, 186)(140, 188)(141, 205)(142, 206)(143, 192)(144, 209)(145, 195)(146, 211)(147, 199)(148, 200)(149, 213)(150, 214)(151, 202)(152, 217)(153, 204)(154, 219)(155, 207)(156, 208)(157, 221)(158, 222)(159, 210)(160, 225)(161, 212)(162, 227)(163, 215)(164, 216)(165, 229)(166, 230)(167, 218)(168, 231)(169, 220)(170, 232)(171, 223)(172, 224)(173, 226)(174, 228)
	local type(s) :: { ( 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1135
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 116 f = 60
	degree seq :: [ 116^2 ]

E28.1151 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 29, 29})
Quotient :: loop^2
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y2)^2, (Y3^-1 * Y1)^2, Y2 * Y1 * Y2 * Y3^2 * Y1 * Y2 * Y1, Y2 * Y3^-1 * Y1 * Y3^8, (Y3 * Y1 * Y2)^29 ]
Map::
	R = (1, 59, 117, 175, 4, 62, 120, 178, 12, 70, 128, 186, 24, 82, 140, 198, 37, 95, 153, 211, 49, 107, 165, 223, 42, 100, 158, 216, 30, 88, 146, 204, 16, 74, 132, 190, 6, 64, 122, 180, 15, 73, 131, 189, 29, 87, 145, 203, 41, 99, 157, 215, 53, 111, 169, 227, 58, 116, 174, 232, 57, 115, 173, 231, 51, 109, 167, 225, 39, 97, 155, 213, 26, 84, 142, 200, 21, 79, 137, 195, 9, 67, 125, 183, 20, 78, 136, 194, 34, 92, 150, 208, 46, 104, 162, 220, 50, 108, 166, 224, 38, 96, 154, 212, 25, 83, 141, 199, 13, 71, 129, 187, 5, 63, 121, 179)(2, 60, 118, 176, 7, 65, 123, 181, 17, 75, 133, 191, 31, 89, 147, 205, 43, 101, 159, 217, 48, 106, 164, 222, 36, 94, 152, 210, 23, 81, 139, 197, 11, 69, 127, 185, 3, 61, 119, 177, 10, 68, 126, 184, 22, 80, 138, 196, 35, 93, 151, 209, 47, 105, 163, 221, 56, 114, 172, 230, 55, 113, 171, 229, 45, 103, 161, 219, 33, 91, 149, 207, 19, 77, 135, 193, 28, 86, 144, 202, 14, 72, 130, 188, 27, 85, 143, 201, 40, 98, 156, 214, 52, 110, 168, 226, 54, 112, 170, 228, 44, 102, 160, 218, 32, 90, 148, 206, 18, 76, 134, 192, 8, 66, 124, 182)
	L = (1, 60)(2, 59)(3, 67)(4, 66)(5, 65)(6, 72)(7, 63)(8, 62)(9, 61)(10, 79)(11, 78)(12, 76)(13, 75)(14, 64)(15, 86)(16, 85)(17, 71)(18, 70)(19, 87)(20, 69)(21, 68)(22, 84)(23, 92)(24, 90)(25, 89)(26, 80)(27, 74)(28, 73)(29, 77)(30, 98)(31, 83)(32, 82)(33, 99)(34, 81)(35, 97)(36, 104)(37, 102)(38, 101)(39, 93)(40, 88)(41, 91)(42, 110)(43, 96)(44, 95)(45, 111)(46, 94)(47, 109)(48, 108)(49, 112)(50, 106)(51, 105)(52, 100)(53, 103)(54, 107)(55, 116)(56, 115)(57, 114)(58, 113)(117, 177)(118, 180)(119, 175)(120, 185)(121, 184)(122, 176)(123, 190)(124, 189)(125, 193)(126, 179)(127, 178)(128, 197)(129, 196)(130, 200)(131, 182)(132, 181)(133, 204)(134, 203)(135, 183)(136, 207)(137, 202)(138, 187)(139, 186)(140, 210)(141, 209)(142, 188)(143, 213)(144, 195)(145, 192)(146, 191)(147, 216)(148, 215)(149, 194)(150, 219)(151, 199)(152, 198)(153, 222)(154, 221)(155, 201)(156, 225)(157, 206)(158, 205)(159, 223)(160, 227)(161, 208)(162, 229)(163, 212)(164, 211)(165, 217)(166, 230)(167, 214)(168, 231)(169, 218)(170, 232)(171, 220)(172, 224)(173, 226)(174, 228)
	local type(s) :: { ( 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1128
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 116 f = 60
	degree seq :: [ 116^2 ]

E28.1152 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 29, 29})
Quotient :: loop^2
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, (Y3 * Y1)^2, Y2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y1, Y2 * Y3 * Y1 * Y3^-8, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 59, 117, 175, 4, 62, 120, 178, 12, 70, 128, 186, 24, 82, 140, 198, 37, 95, 153, 211, 49, 107, 165, 223, 46, 104, 162, 220, 34, 92, 150, 208, 21, 79, 137, 195, 9, 67, 125, 183, 20, 78, 136, 194, 26, 84, 142, 200, 39, 97, 155, 213, 51, 109, 167, 225, 57, 115, 173, 231, 58, 116, 174, 232, 53, 111, 169, 227, 42, 100, 158, 216, 30, 88, 146, 204, 16, 74, 132, 190, 6, 64, 122, 180, 15, 73, 131, 189, 29, 87, 145, 203, 41, 99, 157, 215, 50, 108, 166, 224, 38, 96, 154, 212, 25, 83, 141, 199, 13, 71, 129, 187, 5, 63, 121, 179)(2, 60, 118, 176, 7, 65, 123, 181, 17, 75, 133, 191, 31, 89, 147, 205, 43, 101, 159, 217, 54, 112, 170, 228, 52, 110, 168, 226, 40, 98, 156, 214, 28, 86, 144, 202, 14, 72, 130, 188, 27, 85, 143, 201, 19, 77, 135, 193, 33, 91, 149, 207, 45, 103, 161, 219, 55, 113, 171, 229, 56, 114, 172, 230, 48, 106, 164, 222, 36, 94, 152, 210, 23, 81, 139, 197, 11, 69, 127, 185, 3, 61, 119, 177, 10, 68, 126, 184, 22, 80, 138, 196, 35, 93, 151, 209, 47, 105, 163, 221, 44, 102, 160, 218, 32, 90, 148, 206, 18, 76, 134, 192, 8, 66, 124, 182)
	L = (1, 60)(2, 59)(3, 67)(4, 66)(5, 65)(6, 72)(7, 63)(8, 62)(9, 61)(10, 79)(11, 78)(12, 76)(13, 75)(14, 64)(15, 86)(16, 85)(17, 71)(18, 70)(19, 88)(20, 69)(21, 68)(22, 92)(23, 84)(24, 90)(25, 89)(26, 81)(27, 74)(28, 73)(29, 98)(30, 77)(31, 83)(32, 82)(33, 100)(34, 80)(35, 104)(36, 97)(37, 102)(38, 101)(39, 94)(40, 87)(41, 110)(42, 91)(43, 96)(44, 95)(45, 111)(46, 93)(47, 107)(48, 109)(49, 105)(50, 112)(51, 106)(52, 99)(53, 103)(54, 108)(55, 116)(56, 115)(57, 114)(58, 113)(117, 177)(118, 180)(119, 175)(120, 185)(121, 184)(122, 176)(123, 190)(124, 189)(125, 193)(126, 179)(127, 178)(128, 197)(129, 196)(130, 200)(131, 182)(132, 181)(133, 204)(134, 203)(135, 183)(136, 201)(137, 207)(138, 187)(139, 186)(140, 210)(141, 209)(142, 188)(143, 194)(144, 213)(145, 192)(146, 191)(147, 216)(148, 215)(149, 195)(150, 219)(151, 199)(152, 198)(153, 222)(154, 221)(155, 202)(156, 225)(157, 206)(158, 205)(159, 227)(160, 224)(161, 208)(162, 229)(163, 212)(164, 211)(165, 230)(166, 218)(167, 214)(168, 231)(169, 217)(170, 232)(171, 220)(172, 223)(173, 226)(174, 228)
	local type(s) :: { ( 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1132
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 116 f = 60
	degree seq :: [ 116^2 ]

E28.1153 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 29, 29})
Quotient :: loop^2
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y3)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, Y3^-1 * Y1 * Y3^3 * Y2 * Y3^-1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y1, (Y3 * Y1 * Y2)^29 ]
Map::
	R = (1, 59, 117, 175, 4, 62, 120, 178, 12, 70, 128, 186, 24, 82, 140, 198, 16, 74, 132, 190, 6, 64, 122, 180, 15, 73, 131, 189, 29, 87, 145, 203, 40, 98, 156, 214, 38, 96, 154, 212, 26, 84, 142, 200, 37, 95, 153, 211, 49, 107, 165, 223, 58, 116, 174, 232, 51, 109, 167, 225, 46, 104, 162, 220, 56, 114, 172, 230, 54, 112, 170, 228, 43, 101, 159, 217, 31, 89, 147, 205, 42, 100, 158, 216, 45, 103, 161, 219, 34, 92, 150, 208, 21, 79, 137, 195, 9, 67, 125, 183, 20, 78, 136, 194, 25, 83, 141, 199, 13, 71, 129, 187, 5, 63, 121, 179)(2, 60, 118, 176, 7, 65, 123, 181, 17, 75, 133, 191, 23, 81, 139, 197, 11, 69, 127, 185, 3, 61, 119, 177, 10, 68, 126, 184, 22, 80, 138, 196, 35, 93, 151, 209, 33, 91, 149, 207, 19, 77, 135, 193, 32, 90, 148, 206, 44, 102, 160, 218, 55, 113, 171, 229, 53, 111, 169, 227, 41, 99, 157, 215, 52, 110, 168, 226, 57, 115, 173, 231, 48, 106, 164, 222, 36, 94, 152, 210, 47, 105, 163, 221, 50, 108, 166, 224, 39, 97, 155, 213, 28, 86, 144, 202, 14, 72, 130, 188, 27, 85, 143, 201, 30, 88, 146, 204, 18, 76, 134, 192, 8, 66, 124, 182)
	L = (1, 60)(2, 59)(3, 67)(4, 66)(5, 65)(6, 72)(7, 63)(8, 62)(9, 61)(10, 79)(11, 78)(12, 76)(13, 75)(14, 64)(15, 86)(16, 85)(17, 71)(18, 70)(19, 89)(20, 69)(21, 68)(22, 92)(23, 83)(24, 88)(25, 81)(26, 94)(27, 74)(28, 73)(29, 97)(30, 82)(31, 77)(32, 101)(33, 100)(34, 80)(35, 103)(36, 84)(37, 106)(38, 105)(39, 87)(40, 108)(41, 109)(42, 91)(43, 90)(44, 112)(45, 93)(46, 111)(47, 96)(48, 95)(49, 115)(50, 98)(51, 99)(52, 116)(53, 104)(54, 102)(55, 114)(56, 113)(57, 107)(58, 110)(117, 177)(118, 180)(119, 175)(120, 185)(121, 184)(122, 176)(123, 190)(124, 189)(125, 193)(126, 179)(127, 178)(128, 197)(129, 196)(130, 200)(131, 182)(132, 181)(133, 198)(134, 203)(135, 183)(136, 207)(137, 206)(138, 187)(139, 186)(140, 191)(141, 209)(142, 188)(143, 212)(144, 211)(145, 192)(146, 214)(147, 215)(148, 195)(149, 194)(150, 218)(151, 199)(152, 220)(153, 202)(154, 201)(155, 223)(156, 204)(157, 205)(158, 227)(159, 226)(160, 208)(161, 229)(162, 210)(163, 225)(164, 230)(165, 213)(166, 232)(167, 221)(168, 217)(169, 216)(170, 231)(171, 219)(172, 222)(173, 228)(174, 224)
	local type(s) :: { ( 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1129
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 116 f = 60
	degree seq :: [ 116^2 ]

E28.1154 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 29, 29})
Quotient :: loop^2
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y3)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, Y3 * Y1 * Y3^-3 * Y2 * Y3, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3 * Y1, Y3^-2 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y1 * Y2 ]
Map::
	R = (1, 59, 117, 175, 4, 62, 120, 178, 12, 70, 128, 186, 24, 82, 140, 198, 21, 79, 137, 195, 9, 67, 125, 183, 20, 78, 136, 194, 34, 92, 150, 208, 45, 103, 161, 219, 43, 101, 159, 217, 31, 89, 147, 205, 42, 100, 158, 216, 54, 112, 170, 228, 56, 114, 172, 230, 46, 104, 162, 220, 51, 109, 167, 225, 58, 116, 174, 232, 49, 107, 165, 223, 38, 96, 154, 212, 26, 84, 142, 200, 37, 95, 153, 211, 40, 98, 156, 214, 29, 87, 145, 203, 16, 74, 132, 190, 6, 64, 122, 180, 15, 73, 131, 189, 25, 83, 141, 199, 13, 71, 129, 187, 5, 63, 121, 179)(2, 60, 118, 176, 7, 65, 123, 181, 17, 75, 133, 191, 30, 88, 146, 204, 28, 86, 144, 202, 14, 72, 130, 188, 27, 85, 143, 201, 39, 97, 155, 213, 50, 108, 166, 224, 48, 106, 164, 222, 36, 94, 152, 210, 47, 105, 163, 221, 57, 115, 173, 231, 53, 111, 169, 227, 41, 99, 157, 215, 52, 110, 168, 226, 55, 113, 171, 229, 44, 102, 160, 218, 33, 91, 149, 207, 19, 77, 135, 193, 32, 90, 148, 206, 35, 93, 151, 209, 23, 81, 139, 197, 11, 69, 127, 185, 3, 61, 119, 177, 10, 68, 126, 184, 22, 80, 138, 196, 18, 76, 134, 192, 8, 66, 124, 182)
	L = (1, 60)(2, 59)(3, 67)(4, 66)(5, 65)(6, 72)(7, 63)(8, 62)(9, 61)(10, 79)(11, 78)(12, 76)(13, 75)(14, 64)(15, 86)(16, 85)(17, 71)(18, 70)(19, 89)(20, 69)(21, 68)(22, 82)(23, 92)(24, 80)(25, 88)(26, 94)(27, 74)(28, 73)(29, 97)(30, 83)(31, 77)(32, 101)(33, 100)(34, 81)(35, 103)(36, 84)(37, 106)(38, 105)(39, 87)(40, 108)(41, 109)(42, 91)(43, 90)(44, 112)(45, 93)(46, 110)(47, 96)(48, 95)(49, 115)(50, 98)(51, 99)(52, 104)(53, 116)(54, 102)(55, 114)(56, 113)(57, 107)(58, 111)(117, 177)(118, 180)(119, 175)(120, 185)(121, 184)(122, 176)(123, 190)(124, 189)(125, 193)(126, 179)(127, 178)(128, 197)(129, 196)(130, 200)(131, 182)(132, 181)(133, 203)(134, 199)(135, 183)(136, 207)(137, 206)(138, 187)(139, 186)(140, 209)(141, 192)(142, 188)(143, 212)(144, 211)(145, 191)(146, 214)(147, 215)(148, 195)(149, 194)(150, 218)(151, 198)(152, 220)(153, 202)(154, 201)(155, 223)(156, 204)(157, 205)(158, 227)(159, 226)(160, 208)(161, 229)(162, 210)(163, 230)(164, 225)(165, 213)(166, 232)(167, 222)(168, 217)(169, 216)(170, 231)(171, 219)(172, 221)(173, 228)(174, 224)
	local type(s) :: { ( 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1130
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 116 f = 60
	degree seq :: [ 116^2 ]

E28.1155 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 29, 29})
Quotient :: loop^2
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1 * Y3, Y1 * Y2 * Y3^-1, (R * Y3)^2, R * Y2 * R * Y1, Y3^29 ]
Map::
	R = (1, 59, 117, 175, 4, 62, 120, 178, 8, 66, 124, 182, 12, 70, 128, 186, 16, 74, 132, 190, 20, 78, 136, 194, 24, 82, 140, 198, 28, 86, 144, 202, 31, 89, 147, 205, 33, 91, 149, 207, 35, 93, 151, 209, 37, 95, 153, 211, 39, 97, 155, 213, 41, 99, 157, 215, 43, 101, 159, 217, 58, 116, 174, 232, 56, 114, 172, 230, 54, 112, 170, 228, 52, 110, 168, 226, 50, 108, 166, 224, 48, 106, 164, 222, 46, 104, 162, 220, 29, 87, 145, 203, 25, 83, 141, 199, 21, 79, 137, 195, 17, 75, 133, 191, 13, 71, 129, 187, 9, 67, 125, 183, 5, 63, 121, 179)(2, 60, 118, 176, 3, 61, 119, 177, 7, 65, 123, 181, 11, 69, 127, 185, 15, 73, 131, 189, 19, 77, 135, 193, 23, 81, 139, 197, 27, 85, 143, 201, 30, 88, 146, 204, 32, 90, 148, 206, 34, 92, 150, 208, 36, 94, 152, 210, 38, 96, 154, 212, 40, 98, 156, 214, 42, 100, 158, 216, 45, 103, 161, 219, 57, 115, 173, 231, 55, 113, 171, 229, 53, 111, 169, 227, 51, 109, 167, 225, 49, 107, 165, 223, 47, 105, 163, 221, 44, 102, 160, 218, 26, 84, 142, 200, 22, 80, 138, 196, 18, 76, 134, 192, 14, 72, 130, 188, 10, 68, 126, 184, 6, 64, 122, 180)
	L = (1, 60)(2, 59)(3, 63)(4, 64)(5, 61)(6, 62)(7, 67)(8, 68)(9, 65)(10, 66)(11, 71)(12, 72)(13, 69)(14, 70)(15, 75)(16, 76)(17, 73)(18, 74)(19, 79)(20, 80)(21, 77)(22, 78)(23, 83)(24, 84)(25, 81)(26, 82)(27, 87)(28, 102)(29, 85)(30, 104)(31, 105)(32, 106)(33, 107)(34, 108)(35, 109)(36, 110)(37, 111)(38, 112)(39, 113)(40, 114)(41, 115)(42, 116)(43, 103)(44, 86)(45, 101)(46, 88)(47, 89)(48, 90)(49, 91)(50, 92)(51, 93)(52, 94)(53, 95)(54, 96)(55, 97)(56, 98)(57, 99)(58, 100)(117, 177)(118, 178)(119, 175)(120, 176)(121, 181)(122, 182)(123, 179)(124, 180)(125, 185)(126, 186)(127, 183)(128, 184)(129, 189)(130, 190)(131, 187)(132, 188)(133, 193)(134, 194)(135, 191)(136, 192)(137, 197)(138, 198)(139, 195)(140, 196)(141, 201)(142, 202)(143, 199)(144, 200)(145, 204)(146, 203)(147, 218)(148, 220)(149, 221)(150, 222)(151, 223)(152, 224)(153, 225)(154, 226)(155, 227)(156, 228)(157, 229)(158, 230)(159, 231)(160, 205)(161, 232)(162, 206)(163, 207)(164, 208)(165, 209)(166, 210)(167, 211)(168, 212)(169, 213)(170, 214)(171, 215)(172, 216)(173, 217)(174, 219)
	local type(s) :: { ( 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1134
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 116 f = 60
	degree seq :: [ 116^2 ]

E28.1156 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 29, 29})
Quotient :: loop^2
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y2 * Y3 * Y1^-1, Y2^29, Y1^29 ]
Map:: non-degenerate
	R = (1, 59, 117, 175, 4, 62, 120, 178)(2, 60, 118, 176, 6, 64, 122, 180)(3, 61, 119, 177, 8, 66, 124, 182)(5, 63, 121, 179, 10, 68, 126, 184)(7, 65, 123, 181, 12, 70, 128, 186)(9, 67, 125, 183, 14, 72, 130, 188)(11, 69, 127, 185, 16, 74, 132, 190)(13, 71, 129, 187, 18, 76, 134, 192)(15, 73, 131, 189, 20, 78, 136, 194)(17, 75, 133, 191, 22, 80, 138, 196)(19, 77, 135, 193, 24, 82, 140, 198)(21, 79, 137, 195, 26, 84, 142, 200)(23, 81, 139, 197, 28, 86, 144, 202)(25, 83, 141, 199, 43, 101, 159, 217)(27, 85, 143, 201, 30, 88, 146, 204)(29, 87, 145, 203, 45, 103, 161, 219)(31, 89, 147, 205, 47, 105, 163, 221)(32, 90, 148, 206, 48, 106, 164, 222)(33, 91, 149, 207, 49, 107, 165, 223)(34, 92, 150, 208, 50, 108, 166, 224)(35, 93, 151, 209, 51, 109, 167, 225)(36, 94, 152, 210, 52, 110, 168, 226)(37, 95, 153, 211, 53, 111, 169, 227)(38, 96, 154, 212, 54, 112, 170, 228)(39, 97, 155, 213, 55, 113, 171, 229)(40, 98, 156, 214, 56, 114, 172, 230)(41, 99, 157, 215, 57, 115, 173, 231)(42, 100, 158, 216, 58, 116, 174, 232)(44, 102, 160, 218, 46, 104, 162, 220)
	L = (1, 60)(2, 63)(3, 59)(4, 66)(5, 67)(6, 62)(7, 61)(8, 70)(9, 71)(10, 64)(11, 65)(12, 74)(13, 75)(14, 68)(15, 69)(16, 78)(17, 79)(18, 72)(19, 73)(20, 82)(21, 83)(22, 76)(23, 77)(24, 86)(25, 90)(26, 80)(27, 81)(28, 88)(29, 89)(30, 87)(31, 92)(32, 91)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 102)(42, 104)(43, 84)(44, 116)(45, 85)(46, 115)(47, 103)(48, 101)(49, 106)(50, 105)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)(57, 113)(58, 114)(117, 177)(118, 175)(119, 181)(120, 180)(121, 176)(122, 184)(123, 185)(124, 178)(125, 179)(126, 188)(127, 189)(128, 182)(129, 183)(130, 192)(131, 193)(132, 186)(133, 187)(134, 196)(135, 197)(136, 190)(137, 191)(138, 200)(139, 201)(140, 194)(141, 195)(142, 217)(143, 219)(144, 198)(145, 204)(146, 202)(147, 203)(148, 199)(149, 206)(150, 205)(151, 207)(152, 208)(153, 209)(154, 210)(155, 211)(156, 212)(157, 213)(158, 214)(159, 222)(160, 215)(161, 221)(162, 216)(163, 224)(164, 223)(165, 225)(166, 226)(167, 227)(168, 228)(169, 229)(170, 230)(171, 231)(172, 232)(173, 220)(174, 218)
	local type(s) :: { ( 4, 29, 4, 29, 4, 29, 4, 29 ) }
Outer automorphisms :: reflexible
Dual of E28.1141
Transitivity :: VT+
Graph::
	v = 29 e = 116 f = 33
	degree seq :: [ 8^29 ]

E28.1157 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 29, 29})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y1^2, R^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, Y2^29, (Y3 * Y2^-1)^29 ]
Map::
	R = (1, 59, 2, 60)(3, 61, 5, 63)(4, 62, 6, 64)(7, 65, 9, 67)(8, 66, 10, 68)(11, 69, 13, 71)(12, 70, 14, 72)(15, 73, 17, 75)(16, 74, 18, 76)(19, 77, 21, 79)(20, 78, 22, 80)(23, 81, 25, 83)(24, 82, 26, 84)(27, 85, 33, 91)(28, 86, 45, 103)(29, 87, 30, 88)(31, 89, 32, 90)(34, 92, 35, 93)(36, 94, 37, 95)(38, 96, 39, 97)(40, 98, 41, 99)(42, 100, 43, 101)(44, 102, 50, 108)(46, 104, 47, 105)(48, 106, 49, 107)(51, 109, 52, 110)(53, 111, 54, 112)(55, 113, 56, 114)(57, 115, 58, 116)(117, 175, 119, 177, 123, 181, 127, 185, 131, 189, 135, 193, 139, 197, 143, 201, 145, 203, 147, 205, 150, 208, 152, 210, 154, 212, 156, 214, 158, 216, 160, 218, 162, 220, 164, 222, 167, 225, 169, 227, 171, 229, 173, 231, 144, 202, 140, 198, 136, 194, 132, 190, 128, 186, 124, 182, 120, 178)(118, 176, 121, 179, 125, 183, 129, 187, 133, 191, 137, 195, 141, 199, 149, 207, 146, 204, 148, 206, 151, 209, 153, 211, 155, 213, 157, 215, 159, 217, 166, 224, 163, 221, 165, 223, 168, 226, 170, 228, 172, 230, 174, 232, 161, 219, 142, 200, 138, 196, 134, 192, 130, 188, 126, 184, 122, 180)
	L = (1, 117)(2, 118)(3, 119)(4, 120)(5, 121)(6, 122)(7, 123)(8, 124)(9, 125)(10, 126)(11, 127)(12, 128)(13, 129)(14, 130)(15, 131)(16, 132)(17, 133)(18, 134)(19, 135)(20, 136)(21, 137)(22, 138)(23, 139)(24, 140)(25, 141)(26, 142)(27, 143)(28, 144)(29, 145)(30, 146)(31, 147)(32, 148)(33, 149)(34, 150)(35, 151)(36, 152)(37, 153)(38, 154)(39, 155)(40, 156)(41, 157)(42, 158)(43, 159)(44, 160)(45, 161)(46, 162)(47, 163)(48, 164)(49, 165)(50, 166)(51, 167)(52, 168)(53, 169)(54, 170)(55, 171)(56, 172)(57, 173)(58, 174)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 4, 58, 4, 58 ), ( 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 31 e = 116 f = 31
	degree seq :: [ 4^29, 58^2 ]

E28.1158 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 29, 29})
Quotient :: dipole
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y1^2, R^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, (Y2 * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^29, (Y3 * Y2^-1)^29 ]
Map::
	R = (1, 59, 2, 60)(3, 61, 6, 64)(4, 62, 5, 63)(7, 65, 10, 68)(8, 66, 9, 67)(11, 69, 14, 72)(12, 70, 13, 71)(15, 73, 18, 76)(16, 74, 17, 75)(19, 77, 22, 80)(20, 78, 21, 79)(23, 81, 26, 84)(24, 82, 25, 83)(27, 85, 29, 87)(28, 86, 41, 99)(30, 88, 43, 101)(31, 89, 45, 103)(32, 90, 46, 104)(33, 91, 47, 105)(34, 92, 48, 106)(35, 93, 49, 107)(36, 94, 50, 108)(37, 95, 51, 109)(38, 96, 52, 110)(39, 97, 53, 111)(40, 98, 54, 112)(42, 100, 56, 114)(44, 102, 58, 116)(55, 113, 57, 115)(117, 175, 119, 177, 123, 181, 127, 185, 131, 189, 135, 193, 139, 197, 143, 201, 159, 217, 162, 220, 164, 222, 166, 224, 168, 226, 170, 228, 174, 232, 171, 229, 158, 216, 155, 213, 153, 211, 151, 209, 149, 207, 147, 205, 144, 202, 140, 198, 136, 194, 132, 190, 128, 186, 124, 182, 120, 178)(118, 176, 121, 179, 125, 183, 129, 187, 133, 191, 137, 195, 141, 199, 157, 215, 161, 219, 163, 221, 165, 223, 167, 225, 169, 227, 172, 230, 173, 231, 160, 218, 156, 214, 154, 212, 152, 210, 150, 208, 148, 206, 146, 204, 145, 203, 142, 200, 138, 196, 134, 192, 130, 188, 126, 184, 122, 180)
	L = (1, 117)(2, 118)(3, 119)(4, 120)(5, 121)(6, 122)(7, 123)(8, 124)(9, 125)(10, 126)(11, 127)(12, 128)(13, 129)(14, 130)(15, 131)(16, 132)(17, 133)(18, 134)(19, 135)(20, 136)(21, 137)(22, 138)(23, 139)(24, 140)(25, 141)(26, 142)(27, 143)(28, 144)(29, 145)(30, 146)(31, 147)(32, 148)(33, 149)(34, 150)(35, 151)(36, 152)(37, 153)(38, 154)(39, 155)(40, 156)(41, 157)(42, 158)(43, 159)(44, 160)(45, 161)(46, 162)(47, 163)(48, 164)(49, 165)(50, 166)(51, 167)(52, 168)(53, 169)(54, 170)(55, 171)(56, 172)(57, 173)(58, 174)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 4, 58, 4, 58 ), ( 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 31 e = 116 f = 31
	degree seq :: [ 4^29, 58^2 ]

E28.1159 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 29, 29})
Quotient :: dipole
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, Y2^29, (Y3 * Y2^-1)^29 ]
Map:: non-degenerate
	R = (1, 59, 2, 60)(3, 61, 6, 64)(4, 62, 5, 63)(7, 65, 10, 68)(8, 66, 9, 67)(11, 69, 14, 72)(12, 70, 13, 71)(15, 73, 18, 76)(16, 74, 17, 75)(19, 77, 22, 80)(20, 78, 21, 79)(23, 81, 26, 84)(24, 82, 25, 83)(27, 85, 44, 102)(28, 86, 33, 91)(29, 87, 47, 105)(30, 88, 46, 104)(31, 89, 50, 108)(32, 90, 52, 110)(34, 92, 55, 113)(35, 93, 57, 115)(36, 94, 58, 116)(37, 95, 56, 114)(38, 96, 53, 111)(39, 97, 51, 109)(40, 98, 49, 107)(41, 99, 48, 106)(42, 100, 54, 112)(43, 101, 45, 103)(117, 175, 119, 177, 123, 181, 127, 185, 131, 189, 135, 193, 139, 197, 143, 201, 145, 203, 147, 205, 150, 208, 152, 210, 154, 212, 156, 214, 158, 216, 161, 219, 164, 222, 167, 225, 172, 230, 173, 231, 168, 226, 162, 220, 144, 202, 140, 198, 136, 194, 132, 190, 128, 186, 124, 182, 120, 178)(118, 176, 121, 179, 125, 183, 129, 187, 133, 191, 137, 195, 141, 199, 149, 207, 146, 204, 148, 206, 151, 209, 153, 211, 155, 213, 157, 215, 159, 217, 170, 228, 165, 223, 169, 227, 174, 232, 171, 229, 166, 224, 163, 221, 160, 218, 142, 200, 138, 196, 134, 192, 130, 188, 126, 184, 122, 180)
	L = (1, 120)(2, 122)(3, 117)(4, 124)(5, 118)(6, 126)(7, 119)(8, 128)(9, 121)(10, 130)(11, 123)(12, 132)(13, 125)(14, 134)(15, 127)(16, 136)(17, 129)(18, 138)(19, 131)(20, 140)(21, 133)(22, 142)(23, 135)(24, 144)(25, 137)(26, 160)(27, 139)(28, 162)(29, 143)(30, 149)(31, 145)(32, 146)(33, 141)(34, 147)(35, 148)(36, 150)(37, 151)(38, 152)(39, 153)(40, 154)(41, 155)(42, 156)(43, 157)(44, 163)(45, 158)(46, 168)(47, 166)(48, 161)(49, 170)(50, 171)(51, 164)(52, 173)(53, 165)(54, 159)(55, 174)(56, 167)(57, 172)(58, 169)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 4, 58, 4, 58 ), ( 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1185
Graph:: bipartite
	v = 31 e = 116 f = 31
	degree seq :: [ 4^29, 58^2 ]

E28.1160 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 29, 29})
Quotient :: dipole
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^2 * Y3^-1, (R * Y1)^2, (R * Y2)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, (Y2 * Y1)^2, Y3^14 * Y2 ]
Map:: non-degenerate
	R = (1, 59, 2, 60)(3, 61, 9, 67)(4, 62, 10, 68)(5, 63, 7, 65)(6, 64, 8, 66)(11, 69, 17, 75)(12, 70, 18, 76)(13, 71, 15, 73)(14, 72, 16, 74)(19, 77, 25, 83)(20, 78, 26, 84)(21, 79, 23, 81)(22, 80, 24, 82)(27, 85, 33, 91)(28, 86, 34, 92)(29, 87, 31, 89)(30, 88, 32, 90)(35, 93, 41, 99)(36, 94, 42, 100)(37, 95, 39, 97)(38, 96, 40, 98)(43, 101, 49, 107)(44, 102, 50, 108)(45, 103, 47, 105)(46, 104, 48, 106)(51, 109, 57, 115)(52, 110, 58, 116)(53, 111, 55, 113)(54, 112, 56, 114)(117, 175, 119, 177, 120, 178, 127, 185, 128, 186, 135, 193, 136, 194, 143, 201, 144, 202, 151, 209, 152, 210, 159, 217, 160, 218, 167, 225, 168, 226, 170, 228, 169, 227, 162, 220, 161, 219, 154, 212, 153, 211, 146, 204, 145, 203, 138, 196, 137, 195, 130, 188, 129, 187, 122, 180, 121, 179)(118, 176, 123, 181, 124, 182, 131, 189, 132, 190, 139, 197, 140, 198, 147, 205, 148, 206, 155, 213, 156, 214, 163, 221, 164, 222, 171, 229, 172, 230, 174, 232, 173, 231, 166, 224, 165, 223, 158, 216, 157, 215, 150, 208, 149, 207, 142, 200, 141, 199, 134, 192, 133, 191, 126, 184, 125, 183)
	L = (1, 120)(2, 124)(3, 127)(4, 128)(5, 119)(6, 117)(7, 131)(8, 132)(9, 123)(10, 118)(11, 135)(12, 136)(13, 121)(14, 122)(15, 139)(16, 140)(17, 125)(18, 126)(19, 143)(20, 144)(21, 129)(22, 130)(23, 147)(24, 148)(25, 133)(26, 134)(27, 151)(28, 152)(29, 137)(30, 138)(31, 155)(32, 156)(33, 141)(34, 142)(35, 159)(36, 160)(37, 145)(38, 146)(39, 163)(40, 164)(41, 149)(42, 150)(43, 167)(44, 168)(45, 153)(46, 154)(47, 171)(48, 172)(49, 157)(50, 158)(51, 170)(52, 169)(53, 161)(54, 162)(55, 174)(56, 173)(57, 165)(58, 166)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 4, 58, 4, 58 ), ( 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 31 e = 116 f = 31
	degree seq :: [ 4^29, 58^2 ]

E28.1161 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 29, 29})
Quotient :: dipole
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y2^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y2^-1 * Y1)^2, Y2 * Y3^-14, (Y3 * Y2^-1)^29 ]
Map:: non-degenerate
	R = (1, 59, 2, 60)(3, 61, 9, 67)(4, 62, 10, 68)(5, 63, 7, 65)(6, 64, 8, 66)(11, 69, 17, 75)(12, 70, 18, 76)(13, 71, 15, 73)(14, 72, 16, 74)(19, 77, 25, 83)(20, 78, 26, 84)(21, 79, 23, 81)(22, 80, 24, 82)(27, 85, 33, 91)(28, 86, 34, 92)(29, 87, 31, 89)(30, 88, 32, 90)(35, 93, 41, 99)(36, 94, 42, 100)(37, 95, 39, 97)(38, 96, 40, 98)(43, 101, 49, 107)(44, 102, 50, 108)(45, 103, 47, 105)(46, 104, 48, 106)(51, 109, 57, 115)(52, 110, 58, 116)(53, 111, 55, 113)(54, 112, 56, 114)(117, 175, 119, 177, 122, 180, 127, 185, 130, 188, 135, 193, 138, 196, 143, 201, 146, 204, 151, 209, 154, 212, 159, 217, 162, 220, 167, 225, 170, 228, 168, 226, 169, 227, 160, 218, 161, 219, 152, 210, 153, 211, 144, 202, 145, 203, 136, 194, 137, 195, 128, 186, 129, 187, 120, 178, 121, 179)(118, 176, 123, 181, 126, 184, 131, 189, 134, 192, 139, 197, 142, 200, 147, 205, 150, 208, 155, 213, 158, 216, 163, 221, 166, 224, 171, 229, 174, 232, 172, 230, 173, 231, 164, 222, 165, 223, 156, 214, 157, 215, 148, 206, 149, 207, 140, 198, 141, 199, 132, 190, 133, 191, 124, 182, 125, 183)
	L = (1, 120)(2, 124)(3, 121)(4, 128)(5, 129)(6, 117)(7, 125)(8, 132)(9, 133)(10, 118)(11, 119)(12, 136)(13, 137)(14, 122)(15, 123)(16, 140)(17, 141)(18, 126)(19, 127)(20, 144)(21, 145)(22, 130)(23, 131)(24, 148)(25, 149)(26, 134)(27, 135)(28, 152)(29, 153)(30, 138)(31, 139)(32, 156)(33, 157)(34, 142)(35, 143)(36, 160)(37, 161)(38, 146)(39, 147)(40, 164)(41, 165)(42, 150)(43, 151)(44, 168)(45, 169)(46, 154)(47, 155)(48, 172)(49, 173)(50, 158)(51, 159)(52, 167)(53, 170)(54, 162)(55, 163)(56, 171)(57, 174)(58, 166)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 4, 58, 4, 58 ), ( 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1175
Graph:: bipartite
	v = 31 e = 116 f = 31
	degree seq :: [ 4^29, 58^2 ]

E28.1162 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 29, 29})
Quotient :: dipole
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y2^-3, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2 * Y1)^2, Y3 * Y2^-1 * Y3^9 ]
Map:: non-degenerate
	R = (1, 59, 2, 60)(3, 61, 9, 67)(4, 62, 10, 68)(5, 63, 7, 65)(6, 64, 8, 66)(11, 69, 19, 77)(12, 70, 21, 79)(13, 71, 17, 75)(14, 72, 22, 80)(15, 73, 18, 76)(16, 74, 20, 78)(23, 81, 31, 89)(24, 82, 33, 91)(25, 83, 29, 87)(26, 84, 34, 92)(27, 85, 30, 88)(28, 86, 32, 90)(35, 93, 43, 101)(36, 94, 45, 103)(37, 95, 41, 99)(38, 96, 46, 104)(39, 97, 42, 100)(40, 98, 44, 102)(47, 105, 55, 113)(48, 106, 57, 115)(49, 107, 53, 111)(50, 108, 58, 116)(51, 109, 54, 112)(52, 110, 56, 114)(117, 175, 119, 177, 127, 185, 120, 178, 128, 186, 139, 197, 130, 188, 140, 198, 151, 209, 142, 200, 152, 210, 163, 221, 154, 212, 164, 222, 168, 226, 166, 224, 167, 225, 156, 214, 165, 223, 155, 213, 144, 202, 153, 211, 143, 201, 132, 190, 141, 199, 131, 189, 122, 180, 129, 187, 121, 179)(118, 176, 123, 181, 133, 191, 124, 182, 134, 192, 145, 203, 136, 194, 146, 204, 157, 215, 148, 206, 158, 216, 169, 227, 160, 218, 170, 228, 174, 232, 172, 230, 173, 231, 162, 220, 171, 229, 161, 219, 150, 208, 159, 217, 149, 207, 138, 196, 147, 205, 137, 195, 126, 184, 135, 193, 125, 183)
	L = (1, 120)(2, 124)(3, 128)(4, 130)(5, 127)(6, 117)(7, 134)(8, 136)(9, 133)(10, 118)(11, 139)(12, 140)(13, 119)(14, 142)(15, 121)(16, 122)(17, 145)(18, 146)(19, 123)(20, 148)(21, 125)(22, 126)(23, 151)(24, 152)(25, 129)(26, 154)(27, 131)(28, 132)(29, 157)(30, 158)(31, 135)(32, 160)(33, 137)(34, 138)(35, 163)(36, 164)(37, 141)(38, 166)(39, 143)(40, 144)(41, 169)(42, 170)(43, 147)(44, 172)(45, 149)(46, 150)(47, 168)(48, 167)(49, 153)(50, 165)(51, 155)(52, 156)(53, 174)(54, 173)(55, 159)(56, 171)(57, 161)(58, 162)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 4, 58, 4, 58 ), ( 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1183
Graph:: bipartite
	v = 31 e = 116 f = 31
	degree seq :: [ 4^29, 58^2 ]

E28.1163 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 29, 29})
Quotient :: dipole
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y2^-3, (R * Y1)^2, (Y3^-1 * Y1)^2, (Y2 * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^-1 * Y2^-1 * Y3^-9, (Y3 * Y2^-1)^29 ]
Map:: non-degenerate
	R = (1, 59, 2, 60)(3, 61, 9, 67)(4, 62, 10, 68)(5, 63, 7, 65)(6, 64, 8, 66)(11, 69, 18, 76)(12, 70, 17, 75)(13, 71, 21, 79)(14, 72, 22, 80)(15, 73, 19, 77)(16, 74, 20, 78)(23, 81, 30, 88)(24, 82, 29, 87)(25, 83, 33, 91)(26, 84, 34, 92)(27, 85, 31, 89)(28, 86, 32, 90)(35, 93, 42, 100)(36, 94, 41, 99)(37, 95, 45, 103)(38, 96, 46, 104)(39, 97, 43, 101)(40, 98, 44, 102)(47, 105, 54, 112)(48, 106, 53, 111)(49, 107, 57, 115)(50, 108, 58, 116)(51, 109, 55, 113)(52, 110, 56, 114)(117, 175, 119, 177, 127, 185, 122, 180, 129, 187, 139, 197, 132, 190, 141, 199, 151, 209, 144, 202, 153, 211, 163, 221, 156, 214, 165, 223, 166, 224, 168, 226, 167, 225, 154, 212, 164, 222, 155, 213, 142, 200, 152, 210, 143, 201, 130, 188, 140, 198, 131, 189, 120, 178, 128, 186, 121, 179)(118, 176, 123, 181, 133, 191, 126, 184, 135, 193, 145, 203, 138, 196, 147, 205, 157, 215, 150, 208, 159, 217, 169, 227, 162, 220, 171, 229, 172, 230, 174, 232, 173, 231, 160, 218, 170, 228, 161, 219, 148, 206, 158, 216, 149, 207, 136, 194, 146, 204, 137, 195, 124, 182, 134, 192, 125, 183)
	L = (1, 120)(2, 124)(3, 128)(4, 130)(5, 131)(6, 117)(7, 134)(8, 136)(9, 137)(10, 118)(11, 121)(12, 140)(13, 119)(14, 142)(15, 143)(16, 122)(17, 125)(18, 146)(19, 123)(20, 148)(21, 149)(22, 126)(23, 127)(24, 152)(25, 129)(26, 154)(27, 155)(28, 132)(29, 133)(30, 158)(31, 135)(32, 160)(33, 161)(34, 138)(35, 139)(36, 164)(37, 141)(38, 166)(39, 167)(40, 144)(41, 145)(42, 170)(43, 147)(44, 172)(45, 173)(46, 150)(47, 151)(48, 168)(49, 153)(50, 163)(51, 165)(52, 156)(53, 157)(54, 174)(55, 159)(56, 169)(57, 171)(58, 162)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 4, 58, 4, 58 ), ( 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1172
Graph:: bipartite
	v = 31 e = 116 f = 31
	degree seq :: [ 4^29, 58^2 ]

E28.1164 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 29, 29})
Quotient :: dipole
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (Y3, Y2), (Y3^-1 * Y1)^2, (Y2^-1 * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^-1 * Y2^4, Y3 * Y2 * Y3^6 ]
Map:: non-degenerate
	R = (1, 59, 2, 60)(3, 61, 9, 67)(4, 62, 10, 68)(5, 63, 7, 65)(6, 64, 8, 66)(11, 69, 24, 82)(12, 70, 25, 83)(13, 71, 23, 81)(14, 72, 26, 84)(15, 73, 21, 79)(16, 74, 19, 77)(17, 75, 20, 78)(18, 76, 22, 80)(27, 85, 40, 98)(28, 86, 41, 99)(29, 87, 39, 97)(30, 88, 42, 100)(31, 89, 37, 95)(32, 90, 35, 93)(33, 91, 36, 94)(34, 92, 38, 96)(43, 101, 54, 112)(44, 102, 52, 110)(45, 103, 53, 111)(46, 104, 50, 108)(47, 105, 51, 109)(48, 106, 49, 107)(55, 113, 58, 116)(56, 114, 57, 115)(117, 175, 119, 177, 127, 185, 131, 189, 120, 178, 128, 186, 143, 201, 147, 205, 130, 188, 144, 202, 159, 217, 163, 221, 146, 204, 160, 218, 171, 229, 172, 230, 162, 220, 150, 208, 161, 219, 164, 222, 149, 207, 134, 192, 145, 203, 148, 206, 133, 191, 122, 180, 129, 187, 132, 190, 121, 179)(118, 176, 123, 181, 135, 193, 139, 197, 124, 182, 136, 194, 151, 209, 155, 213, 138, 196, 152, 210, 165, 223, 169, 227, 154, 212, 166, 224, 173, 231, 174, 232, 168, 226, 158, 216, 167, 225, 170, 228, 157, 215, 142, 200, 153, 211, 156, 214, 141, 199, 126, 184, 137, 195, 140, 198, 125, 183)
	L = (1, 120)(2, 124)(3, 128)(4, 130)(5, 131)(6, 117)(7, 136)(8, 138)(9, 139)(10, 118)(11, 143)(12, 144)(13, 119)(14, 146)(15, 147)(16, 127)(17, 121)(18, 122)(19, 151)(20, 152)(21, 123)(22, 154)(23, 155)(24, 135)(25, 125)(26, 126)(27, 159)(28, 160)(29, 129)(30, 162)(31, 163)(32, 132)(33, 133)(34, 134)(35, 165)(36, 166)(37, 137)(38, 168)(39, 169)(40, 140)(41, 141)(42, 142)(43, 171)(44, 150)(45, 145)(46, 149)(47, 172)(48, 148)(49, 173)(50, 158)(51, 153)(52, 157)(53, 174)(54, 156)(55, 161)(56, 164)(57, 167)(58, 170)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 4, 58, 4, 58 ), ( 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1178
Graph:: bipartite
	v = 31 e = 116 f = 31
	degree seq :: [ 4^29, 58^2 ]

E28.1165 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 29, 29})
Quotient :: dipole
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y2, Y3^-1), (Y2^-1 * Y1)^2, (R * Y2)^2, Y2^2 * Y3 * Y2^2, Y3^6 * Y2^-1 * Y3, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 59, 2, 60)(3, 61, 9, 67)(4, 62, 10, 68)(5, 63, 7, 65)(6, 64, 8, 66)(11, 69, 24, 82)(12, 70, 25, 83)(13, 71, 23, 81)(14, 72, 26, 84)(15, 73, 21, 79)(16, 74, 19, 77)(17, 75, 20, 78)(18, 76, 22, 80)(27, 85, 40, 98)(28, 86, 41, 99)(29, 87, 39, 97)(30, 88, 42, 100)(31, 89, 37, 95)(32, 90, 35, 93)(33, 91, 36, 94)(34, 92, 38, 96)(43, 101, 53, 111)(44, 102, 54, 112)(45, 103, 52, 110)(46, 104, 51, 109)(47, 105, 49, 107)(48, 106, 50, 108)(55, 113, 58, 116)(56, 114, 57, 115)(117, 175, 119, 177, 127, 185, 133, 191, 122, 180, 129, 187, 143, 201, 149, 207, 134, 192, 145, 203, 159, 217, 164, 222, 150, 208, 161, 219, 171, 229, 172, 230, 162, 220, 146, 204, 160, 218, 163, 221, 147, 205, 130, 188, 144, 202, 148, 206, 131, 189, 120, 178, 128, 186, 132, 190, 121, 179)(118, 176, 123, 181, 135, 193, 141, 199, 126, 184, 137, 195, 151, 209, 157, 215, 142, 200, 153, 211, 165, 223, 170, 228, 158, 216, 167, 225, 173, 231, 174, 232, 168, 226, 154, 212, 166, 224, 169, 227, 155, 213, 138, 196, 152, 210, 156, 214, 139, 197, 124, 182, 136, 194, 140, 198, 125, 183)
	L = (1, 120)(2, 124)(3, 128)(4, 130)(5, 131)(6, 117)(7, 136)(8, 138)(9, 139)(10, 118)(11, 132)(12, 144)(13, 119)(14, 146)(15, 147)(16, 148)(17, 121)(18, 122)(19, 140)(20, 152)(21, 123)(22, 154)(23, 155)(24, 156)(25, 125)(26, 126)(27, 127)(28, 160)(29, 129)(30, 161)(31, 162)(32, 163)(33, 133)(34, 134)(35, 135)(36, 166)(37, 137)(38, 167)(39, 168)(40, 169)(41, 141)(42, 142)(43, 143)(44, 171)(45, 145)(46, 150)(47, 172)(48, 149)(49, 151)(50, 173)(51, 153)(52, 158)(53, 174)(54, 157)(55, 159)(56, 164)(57, 165)(58, 170)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 4, 58, 4, 58 ), ( 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1167
Graph:: bipartite
	v = 31 e = 116 f = 31
	degree seq :: [ 4^29, 58^2 ]

E28.1166 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 29, 29})
Quotient :: dipole
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y2)^2, (Y3^-1, Y2^-1), (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (Y2 * Y1)^2, Y2^-1 * Y3 * Y2^-4, Y3^2 * Y2^-1 * Y3^4, Y2 * Y3 * Y2 * Y3 * Y2 * Y3^3 * Y2, Y2^-1 * Y3^2 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^2 * Y3^2 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 59, 2, 60)(3, 61, 9, 67)(4, 62, 10, 68)(5, 63, 7, 65)(6, 64, 8, 66)(11, 69, 24, 82)(12, 70, 25, 83)(13, 71, 23, 81)(14, 72, 26, 84)(15, 73, 21, 79)(16, 74, 19, 77)(17, 75, 20, 78)(18, 76, 22, 80)(27, 85, 39, 97)(28, 86, 44, 102)(29, 87, 37, 95)(30, 88, 45, 103)(31, 89, 43, 101)(32, 90, 46, 104)(33, 91, 41, 99)(34, 92, 38, 96)(35, 93, 40, 98)(36, 94, 42, 100)(47, 105, 55, 113)(48, 106, 57, 115)(49, 107, 53, 111)(50, 108, 58, 116)(51, 109, 54, 112)(52, 110, 56, 114)(117, 175, 119, 177, 127, 185, 143, 201, 131, 189, 120, 178, 128, 186, 144, 202, 163, 221, 149, 207, 130, 188, 146, 204, 164, 222, 168, 226, 152, 210, 148, 206, 166, 224, 167, 225, 151, 209, 134, 192, 147, 205, 165, 223, 150, 208, 133, 191, 122, 180, 129, 187, 145, 203, 132, 190, 121, 179)(118, 176, 123, 181, 135, 193, 153, 211, 139, 197, 124, 182, 136, 194, 154, 212, 169, 227, 159, 217, 138, 196, 156, 214, 170, 228, 174, 232, 162, 220, 158, 216, 172, 230, 173, 231, 161, 219, 142, 200, 157, 215, 171, 229, 160, 218, 141, 199, 126, 184, 137, 195, 155, 213, 140, 198, 125, 183)
	L = (1, 120)(2, 124)(3, 128)(4, 130)(5, 131)(6, 117)(7, 136)(8, 138)(9, 139)(10, 118)(11, 144)(12, 146)(13, 119)(14, 148)(15, 149)(16, 143)(17, 121)(18, 122)(19, 154)(20, 156)(21, 123)(22, 158)(23, 159)(24, 153)(25, 125)(26, 126)(27, 163)(28, 164)(29, 127)(30, 166)(31, 129)(32, 147)(33, 152)(34, 132)(35, 133)(36, 134)(37, 169)(38, 170)(39, 135)(40, 172)(41, 137)(42, 157)(43, 162)(44, 140)(45, 141)(46, 142)(47, 168)(48, 167)(49, 145)(50, 165)(51, 150)(52, 151)(53, 174)(54, 173)(55, 155)(56, 171)(57, 160)(58, 161)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 4, 58, 4, 58 ), ( 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1169
Graph:: bipartite
	v = 31 e = 116 f = 31
	degree seq :: [ 4^29, 58^2 ]

E28.1167 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 29, 29})
Quotient :: dipole
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y2)^2, (Y2, Y3^-1), (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1)^2, Y3^-1 * Y2^-5, Y3 * Y2 * Y3^5, Y3^-1 * Y2 * Y3^-1 * Y2^2 * Y3^-3 * Y2, Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 59, 2, 60)(3, 61, 9, 67)(4, 62, 10, 68)(5, 63, 7, 65)(6, 64, 8, 66)(11, 69, 24, 82)(12, 70, 25, 83)(13, 71, 23, 81)(14, 72, 26, 84)(15, 73, 21, 79)(16, 74, 19, 77)(17, 75, 20, 78)(18, 76, 22, 80)(27, 85, 38, 96)(28, 86, 37, 95)(29, 87, 44, 102)(30, 88, 45, 103)(31, 89, 43, 101)(32, 90, 46, 104)(33, 91, 41, 99)(34, 92, 39, 97)(35, 93, 40, 98)(36, 94, 42, 100)(47, 105, 54, 112)(48, 106, 53, 111)(49, 107, 58, 116)(50, 108, 57, 115)(51, 109, 56, 114)(52, 110, 55, 113)(117, 175, 119, 177, 127, 185, 143, 201, 133, 191, 122, 180, 129, 187, 145, 203, 163, 221, 151, 209, 134, 192, 147, 205, 165, 223, 167, 225, 148, 206, 152, 210, 166, 224, 168, 226, 149, 207, 130, 188, 146, 204, 164, 222, 150, 208, 131, 189, 120, 178, 128, 186, 144, 202, 132, 190, 121, 179)(118, 176, 123, 181, 135, 193, 153, 211, 141, 199, 126, 184, 137, 195, 155, 213, 169, 227, 161, 219, 142, 200, 157, 215, 171, 229, 173, 231, 158, 216, 162, 220, 172, 230, 174, 232, 159, 217, 138, 196, 156, 214, 170, 228, 160, 218, 139, 197, 124, 182, 136, 194, 154, 212, 140, 198, 125, 183)
	L = (1, 120)(2, 124)(3, 128)(4, 130)(5, 131)(6, 117)(7, 136)(8, 138)(9, 139)(10, 118)(11, 144)(12, 146)(13, 119)(14, 148)(15, 149)(16, 150)(17, 121)(18, 122)(19, 154)(20, 156)(21, 123)(22, 158)(23, 159)(24, 160)(25, 125)(26, 126)(27, 132)(28, 164)(29, 127)(30, 152)(31, 129)(32, 151)(33, 167)(34, 168)(35, 133)(36, 134)(37, 140)(38, 170)(39, 135)(40, 162)(41, 137)(42, 161)(43, 173)(44, 174)(45, 141)(46, 142)(47, 143)(48, 166)(49, 145)(50, 147)(51, 163)(52, 165)(53, 153)(54, 172)(55, 155)(56, 157)(57, 169)(58, 171)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 4, 58, 4, 58 ), ( 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1165
Graph:: bipartite
	v = 31 e = 116 f = 31
	degree seq :: [ 4^29, 58^2 ]

E28.1168 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 29, 29})
Quotient :: dipole
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3, Y2), (R * Y2)^2, (Y2 * Y1)^2, Y3^4 * Y2^-1 * Y3, Y2^4 * Y3^-1 * Y2^2, Y3^-1 * Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 59, 2, 60)(3, 61, 9, 67)(4, 62, 10, 68)(5, 63, 7, 65)(6, 64, 8, 66)(11, 69, 24, 82)(12, 70, 25, 83)(13, 71, 23, 81)(14, 72, 26, 84)(15, 73, 21, 79)(16, 74, 19, 77)(17, 75, 20, 78)(18, 76, 22, 80)(27, 85, 44, 102)(28, 86, 45, 103)(29, 87, 43, 101)(30, 88, 46, 104)(31, 89, 42, 100)(32, 90, 41, 99)(33, 91, 39, 97)(34, 92, 37, 95)(35, 93, 38, 96)(36, 94, 40, 98)(47, 105, 57, 115)(48, 106, 58, 116)(49, 107, 56, 114)(50, 108, 55, 113)(51, 109, 53, 111)(52, 110, 54, 112)(117, 175, 119, 177, 127, 185, 143, 201, 149, 207, 131, 189, 120, 178, 128, 186, 144, 202, 163, 221, 166, 224, 148, 206, 130, 188, 146, 204, 164, 222, 168, 226, 152, 210, 134, 192, 147, 205, 165, 223, 167, 225, 151, 209, 133, 191, 122, 180, 129, 187, 145, 203, 150, 208, 132, 190, 121, 179)(118, 176, 123, 181, 135, 193, 153, 211, 159, 217, 139, 197, 124, 182, 136, 194, 154, 212, 169, 227, 172, 230, 158, 216, 138, 196, 156, 214, 170, 228, 174, 232, 162, 220, 142, 200, 157, 215, 171, 229, 173, 231, 161, 219, 141, 199, 126, 184, 137, 195, 155, 213, 160, 218, 140, 198, 125, 183)
	L = (1, 120)(2, 124)(3, 128)(4, 130)(5, 131)(6, 117)(7, 136)(8, 138)(9, 139)(10, 118)(11, 144)(12, 146)(13, 119)(14, 147)(15, 148)(16, 149)(17, 121)(18, 122)(19, 154)(20, 156)(21, 123)(22, 157)(23, 158)(24, 159)(25, 125)(26, 126)(27, 163)(28, 164)(29, 127)(30, 165)(31, 129)(32, 134)(33, 166)(34, 143)(35, 132)(36, 133)(37, 169)(38, 170)(39, 135)(40, 171)(41, 137)(42, 142)(43, 172)(44, 153)(45, 140)(46, 141)(47, 168)(48, 167)(49, 145)(50, 152)(51, 150)(52, 151)(53, 174)(54, 173)(55, 155)(56, 162)(57, 160)(58, 161)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 4, 58, 4, 58 ), ( 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1170
Graph:: bipartite
	v = 31 e = 116 f = 31
	degree seq :: [ 4^29, 58^2 ]

E28.1169 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 29, 29})
Quotient :: dipole
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3, Y2^-1), (R * Y2)^2, (Y2^-1 * Y1)^2, Y3^-1 * Y2^-1 * Y3^-4, Y3 * Y2^6, Y2^2 * Y3^-2 * Y2^-2 * Y3^2, (Y2^-1 * Y3)^29 ]
Map:: non-degenerate
	R = (1, 59, 2, 60)(3, 61, 9, 67)(4, 62, 10, 68)(5, 63, 7, 65)(6, 64, 8, 66)(11, 69, 24, 82)(12, 70, 25, 83)(13, 71, 23, 81)(14, 72, 26, 84)(15, 73, 21, 79)(16, 74, 19, 77)(17, 75, 20, 78)(18, 76, 22, 80)(27, 85, 45, 103)(28, 86, 46, 104)(29, 87, 44, 102)(30, 88, 42, 100)(31, 89, 43, 101)(32, 90, 40, 98)(33, 91, 41, 99)(34, 92, 39, 97)(35, 93, 37, 95)(36, 94, 38, 96)(47, 105, 58, 116)(48, 106, 56, 114)(49, 107, 57, 115)(50, 108, 54, 112)(51, 109, 55, 113)(52, 110, 53, 111)(117, 175, 119, 177, 127, 185, 143, 201, 152, 210, 133, 191, 122, 180, 129, 187, 145, 203, 163, 221, 166, 224, 148, 206, 134, 192, 147, 205, 165, 223, 167, 225, 149, 207, 130, 188, 146, 204, 164, 222, 168, 226, 150, 208, 131, 189, 120, 178, 128, 186, 144, 202, 151, 209, 132, 190, 121, 179)(118, 176, 123, 181, 135, 193, 153, 211, 162, 220, 141, 199, 126, 184, 137, 195, 155, 213, 169, 227, 172, 230, 158, 216, 142, 200, 157, 215, 171, 229, 173, 231, 159, 217, 138, 196, 156, 214, 170, 228, 174, 232, 160, 218, 139, 197, 124, 182, 136, 194, 154, 212, 161, 219, 140, 198, 125, 183)
	L = (1, 120)(2, 124)(3, 128)(4, 130)(5, 131)(6, 117)(7, 136)(8, 138)(9, 139)(10, 118)(11, 144)(12, 146)(13, 119)(14, 148)(15, 149)(16, 150)(17, 121)(18, 122)(19, 154)(20, 156)(21, 123)(22, 158)(23, 159)(24, 160)(25, 125)(26, 126)(27, 151)(28, 164)(29, 127)(30, 134)(31, 129)(32, 133)(33, 166)(34, 167)(35, 168)(36, 132)(37, 161)(38, 170)(39, 135)(40, 142)(41, 137)(42, 141)(43, 172)(44, 173)(45, 174)(46, 140)(47, 143)(48, 147)(49, 145)(50, 152)(51, 163)(52, 165)(53, 153)(54, 157)(55, 155)(56, 162)(57, 169)(58, 171)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 4, 58, 4, 58 ), ( 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1166
Graph:: bipartite
	v = 31 e = 116 f = 31
	degree seq :: [ 4^29, 58^2 ]

E28.1170 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 29, 29})
Quotient :: dipole
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2, Y3^-1), (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (Y2 * Y1)^2, (R * Y2)^2, Y2 * Y3^4, Y2^-1 * Y3 * Y2^-6, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^2 ]
Map:: non-degenerate
	R = (1, 59, 2, 60)(3, 61, 9, 67)(4, 62, 10, 68)(5, 63, 7, 65)(6, 64, 8, 66)(11, 69, 24, 82)(12, 70, 25, 83)(13, 71, 23, 81)(14, 72, 26, 84)(15, 73, 21, 79)(16, 74, 19, 77)(17, 75, 20, 78)(18, 76, 22, 80)(27, 85, 41, 99)(28, 86, 42, 100)(29, 87, 40, 98)(30, 88, 39, 97)(31, 89, 38, 96)(32, 90, 37, 95)(33, 91, 35, 93)(34, 92, 36, 94)(43, 101, 51, 109)(44, 102, 54, 112)(45, 103, 49, 107)(46, 104, 53, 111)(47, 105, 52, 110)(48, 106, 50, 108)(55, 113, 58, 116)(56, 114, 57, 115)(117, 175, 119, 177, 127, 185, 143, 201, 159, 217, 148, 206, 131, 189, 120, 178, 128, 186, 144, 202, 160, 218, 171, 229, 163, 221, 147, 205, 130, 188, 134, 192, 146, 204, 162, 220, 172, 230, 164, 222, 150, 208, 133, 191, 122, 180, 129, 187, 145, 203, 161, 219, 149, 207, 132, 190, 121, 179)(118, 176, 123, 181, 135, 193, 151, 209, 165, 223, 156, 214, 139, 197, 124, 182, 136, 194, 152, 210, 166, 224, 173, 231, 169, 227, 155, 213, 138, 196, 142, 200, 154, 212, 168, 226, 174, 232, 170, 228, 158, 216, 141, 199, 126, 184, 137, 195, 153, 211, 167, 225, 157, 215, 140, 198, 125, 183)
	L = (1, 120)(2, 124)(3, 128)(4, 130)(5, 131)(6, 117)(7, 136)(8, 138)(9, 139)(10, 118)(11, 144)(12, 134)(13, 119)(14, 133)(15, 147)(16, 148)(17, 121)(18, 122)(19, 152)(20, 142)(21, 123)(22, 141)(23, 155)(24, 156)(25, 125)(26, 126)(27, 160)(28, 146)(29, 127)(30, 129)(31, 150)(32, 163)(33, 159)(34, 132)(35, 166)(36, 154)(37, 135)(38, 137)(39, 158)(40, 169)(41, 165)(42, 140)(43, 171)(44, 162)(45, 143)(46, 145)(47, 164)(48, 149)(49, 173)(50, 168)(51, 151)(52, 153)(53, 170)(54, 157)(55, 172)(56, 161)(57, 174)(58, 167)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 4, 58, 4, 58 ), ( 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1168
Graph:: bipartite
	v = 31 e = 116 f = 31
	degree seq :: [ 4^29, 58^2 ]

E28.1171 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 29, 29})
Quotient :: dipole
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2^-1), (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (Y2 * Y1)^2, (R * Y2)^2, Y3^-1 * Y2 * Y3^-3, Y2^-1 * Y3^-1 * Y2^-6 ]
Map:: non-degenerate
	R = (1, 59, 2, 60)(3, 61, 9, 67)(4, 62, 10, 68)(5, 63, 7, 65)(6, 64, 8, 66)(11, 69, 24, 82)(12, 70, 25, 83)(13, 71, 23, 81)(14, 72, 26, 84)(15, 73, 21, 79)(16, 74, 19, 77)(17, 75, 20, 78)(18, 76, 22, 80)(27, 85, 40, 98)(28, 86, 41, 99)(29, 87, 39, 97)(30, 88, 42, 100)(31, 89, 37, 95)(32, 90, 35, 93)(33, 91, 36, 94)(34, 92, 38, 96)(43, 101, 50, 108)(44, 102, 49, 107)(45, 103, 53, 111)(46, 104, 54, 112)(47, 105, 51, 109)(48, 106, 52, 110)(55, 113, 58, 116)(56, 114, 57, 115)(117, 175, 119, 177, 127, 185, 143, 201, 159, 217, 149, 207, 133, 191, 122, 180, 129, 187, 145, 203, 161, 219, 171, 229, 164, 222, 150, 208, 134, 192, 130, 188, 146, 204, 162, 220, 172, 230, 163, 221, 147, 205, 131, 189, 120, 178, 128, 186, 144, 202, 160, 218, 148, 206, 132, 190, 121, 179)(118, 176, 123, 181, 135, 193, 151, 209, 165, 223, 157, 215, 141, 199, 126, 184, 137, 195, 153, 211, 167, 225, 173, 231, 170, 228, 158, 216, 142, 200, 138, 196, 154, 212, 168, 226, 174, 232, 169, 227, 155, 213, 139, 197, 124, 182, 136, 194, 152, 210, 166, 224, 156, 214, 140, 198, 125, 183)
	L = (1, 120)(2, 124)(3, 128)(4, 130)(5, 131)(6, 117)(7, 136)(8, 138)(9, 139)(10, 118)(11, 144)(12, 146)(13, 119)(14, 129)(15, 134)(16, 147)(17, 121)(18, 122)(19, 152)(20, 154)(21, 123)(22, 137)(23, 142)(24, 155)(25, 125)(26, 126)(27, 160)(28, 162)(29, 127)(30, 145)(31, 150)(32, 163)(33, 132)(34, 133)(35, 166)(36, 168)(37, 135)(38, 153)(39, 158)(40, 169)(41, 140)(42, 141)(43, 148)(44, 172)(45, 143)(46, 161)(47, 164)(48, 149)(49, 156)(50, 174)(51, 151)(52, 167)(53, 170)(54, 157)(55, 159)(56, 171)(57, 165)(58, 173)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 4, 58, 4, 58 ), ( 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1177
Graph:: bipartite
	v = 31 e = 116 f = 31
	degree seq :: [ 4^29, 58^2 ]

E28.1172 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 29, 29})
Quotient :: dipole
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2), (R * Y1)^2, (Y3^-1 * Y1)^2, (Y2 * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^-1 * Y2^-1 * Y3^2 * Y2 * Y3^-1, Y2^-1 * Y3 * Y2^-2 * Y3^3, Y2^-5 * Y3^-3 ]
Map:: non-degenerate
	R = (1, 59, 2, 60)(3, 61, 9, 67)(4, 62, 10, 68)(5, 63, 7, 65)(6, 64, 8, 66)(11, 69, 24, 82)(12, 70, 25, 83)(13, 71, 23, 81)(14, 72, 26, 84)(15, 73, 21, 79)(16, 74, 19, 77)(17, 75, 20, 78)(18, 76, 22, 80)(27, 85, 47, 105)(28, 86, 48, 106)(29, 87, 46, 104)(30, 88, 49, 107)(31, 89, 45, 103)(32, 90, 50, 108)(33, 91, 43, 101)(34, 92, 41, 99)(35, 93, 39, 97)(36, 94, 40, 98)(37, 95, 42, 100)(38, 96, 44, 102)(51, 109, 58, 116)(52, 110, 57, 115)(53, 111, 56, 114)(54, 112, 55, 113)(117, 175, 119, 177, 127, 185, 143, 201, 167, 225, 154, 212, 150, 208, 131, 189, 120, 178, 128, 186, 144, 202, 168, 226, 153, 211, 134, 192, 147, 205, 149, 207, 130, 188, 146, 204, 169, 227, 152, 210, 133, 191, 122, 180, 129, 187, 145, 203, 148, 206, 170, 228, 151, 209, 132, 190, 121, 179)(118, 176, 123, 181, 135, 193, 155, 213, 171, 229, 166, 224, 162, 220, 139, 197, 124, 182, 136, 194, 156, 214, 172, 230, 165, 223, 142, 200, 159, 217, 161, 219, 138, 196, 158, 216, 173, 231, 164, 222, 141, 199, 126, 184, 137, 195, 157, 215, 160, 218, 174, 232, 163, 221, 140, 198, 125, 183)
	L = (1, 120)(2, 124)(3, 128)(4, 130)(5, 131)(6, 117)(7, 136)(8, 138)(9, 139)(10, 118)(11, 144)(12, 146)(13, 119)(14, 148)(15, 149)(16, 150)(17, 121)(18, 122)(19, 156)(20, 158)(21, 123)(22, 160)(23, 161)(24, 162)(25, 125)(26, 126)(27, 168)(28, 169)(29, 127)(30, 170)(31, 129)(32, 143)(33, 145)(34, 147)(35, 154)(36, 132)(37, 133)(38, 134)(39, 172)(40, 173)(41, 135)(42, 174)(43, 137)(44, 155)(45, 157)(46, 159)(47, 166)(48, 140)(49, 141)(50, 142)(51, 153)(52, 152)(53, 151)(54, 167)(55, 165)(56, 164)(57, 163)(58, 171)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 4, 58, 4, 58 ), ( 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1163
Graph:: bipartite
	v = 31 e = 116 f = 31
	degree seq :: [ 4^29, 58^2 ]

E28.1173 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 29, 29})
Quotient :: dipole
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2^-1, Y3^-1), (R * Y2)^2, (Y2^-1 * Y1)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y2^2 * Y3^-1 * Y2^-2, Y3^3 * Y2 * Y3 * Y2^2, Y2^-3 * Y3 * Y2^-1 * Y3^2 * Y2^-1, Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^2 ]
Map:: non-degenerate
	R = (1, 59, 2, 60)(3, 61, 9, 67)(4, 62, 10, 68)(5, 63, 7, 65)(6, 64, 8, 66)(11, 69, 24, 82)(12, 70, 25, 83)(13, 71, 23, 81)(14, 72, 26, 84)(15, 73, 21, 79)(16, 74, 19, 77)(17, 75, 20, 78)(18, 76, 22, 80)(27, 85, 47, 105)(28, 86, 48, 106)(29, 87, 46, 104)(30, 88, 49, 107)(31, 89, 45, 103)(32, 90, 50, 108)(33, 91, 43, 101)(34, 92, 41, 99)(35, 93, 39, 97)(36, 94, 40, 98)(37, 95, 42, 100)(38, 96, 44, 102)(51, 109, 58, 116)(52, 110, 57, 115)(53, 111, 56, 114)(54, 112, 55, 113)(117, 175, 119, 177, 127, 185, 143, 201, 167, 225, 148, 206, 152, 210, 133, 191, 122, 180, 129, 187, 145, 203, 168, 226, 149, 207, 130, 188, 146, 204, 153, 211, 134, 192, 147, 205, 169, 227, 150, 208, 131, 189, 120, 178, 128, 186, 144, 202, 154, 212, 170, 228, 151, 209, 132, 190, 121, 179)(118, 176, 123, 181, 135, 193, 155, 213, 171, 229, 160, 218, 164, 222, 141, 199, 126, 184, 137, 195, 157, 215, 172, 230, 161, 219, 138, 196, 158, 216, 165, 223, 142, 200, 159, 217, 173, 231, 162, 220, 139, 197, 124, 182, 136, 194, 156, 214, 166, 224, 174, 232, 163, 221, 140, 198, 125, 183)
	L = (1, 120)(2, 124)(3, 128)(4, 130)(5, 131)(6, 117)(7, 136)(8, 138)(9, 139)(10, 118)(11, 144)(12, 146)(13, 119)(14, 148)(15, 149)(16, 150)(17, 121)(18, 122)(19, 156)(20, 158)(21, 123)(22, 160)(23, 161)(24, 162)(25, 125)(26, 126)(27, 154)(28, 153)(29, 127)(30, 152)(31, 129)(32, 151)(33, 167)(34, 168)(35, 169)(36, 132)(37, 133)(38, 134)(39, 166)(40, 165)(41, 135)(42, 164)(43, 137)(44, 163)(45, 171)(46, 172)(47, 173)(48, 140)(49, 141)(50, 142)(51, 170)(52, 143)(53, 145)(54, 147)(55, 174)(56, 155)(57, 157)(58, 159)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 4, 58, 4, 58 ), ( 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1181
Graph:: bipartite
	v = 31 e = 116 f = 31
	degree seq :: [ 4^29, 58^2 ]

E28.1174 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 29, 29})
Quotient :: dipole
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (Y3^-1, Y2^-1), (Y3^-1 * Y1)^2, (Y2 * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3 * Y2^2 * Y3^2, Y2^-2 * Y3 * Y2^-7, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 59, 2, 60)(3, 61, 9, 67)(4, 62, 10, 68)(5, 63, 7, 65)(6, 64, 8, 66)(11, 69, 24, 82)(12, 70, 25, 83)(13, 71, 23, 81)(14, 72, 26, 84)(15, 73, 21, 79)(16, 74, 19, 77)(17, 75, 20, 78)(18, 76, 22, 80)(27, 85, 38, 96)(28, 86, 37, 95)(29, 87, 36, 94)(30, 88, 35, 93)(31, 89, 34, 92)(32, 90, 33, 91)(39, 97, 50, 108)(40, 98, 49, 107)(41, 99, 48, 106)(42, 100, 47, 105)(43, 101, 46, 104)(44, 102, 45, 103)(51, 109, 56, 114)(52, 110, 55, 113)(53, 111, 58, 116)(54, 112, 57, 115)(117, 175, 119, 177, 127, 185, 143, 201, 155, 213, 167, 225, 159, 217, 147, 205, 131, 189, 120, 178, 128, 186, 134, 192, 145, 203, 157, 215, 169, 227, 170, 228, 158, 216, 146, 204, 130, 188, 133, 191, 122, 180, 129, 187, 144, 202, 156, 214, 168, 226, 160, 218, 148, 206, 132, 190, 121, 179)(118, 176, 123, 181, 135, 193, 149, 207, 161, 219, 171, 229, 165, 223, 153, 211, 139, 197, 124, 182, 136, 194, 142, 200, 151, 209, 163, 221, 173, 231, 174, 232, 164, 222, 152, 210, 138, 196, 141, 199, 126, 184, 137, 195, 150, 208, 162, 220, 172, 230, 166, 224, 154, 212, 140, 198, 125, 183)
	L = (1, 120)(2, 124)(3, 128)(4, 130)(5, 131)(6, 117)(7, 136)(8, 138)(9, 139)(10, 118)(11, 134)(12, 133)(13, 119)(14, 132)(15, 146)(16, 147)(17, 121)(18, 122)(19, 142)(20, 141)(21, 123)(22, 140)(23, 152)(24, 153)(25, 125)(26, 126)(27, 145)(28, 127)(29, 129)(30, 148)(31, 158)(32, 159)(33, 151)(34, 135)(35, 137)(36, 154)(37, 164)(38, 165)(39, 157)(40, 143)(41, 144)(42, 160)(43, 170)(44, 167)(45, 163)(46, 149)(47, 150)(48, 166)(49, 174)(50, 171)(51, 169)(52, 155)(53, 156)(54, 168)(55, 173)(56, 161)(57, 162)(58, 172)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 4, 58, 4, 58 ), ( 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1180
Graph:: bipartite
	v = 31 e = 116 f = 31
	degree seq :: [ 4^29, 58^2 ]

E28.1175 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 29, 29})
Quotient :: dipole
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2^-1), (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, (Y2 * Y1)^2, Y2 * Y3^-1 * Y2 * Y3^-2, Y2^-1 * Y3^-1 * Y2^-8, Y2^-1 * Y3^-13 ]
Map:: non-degenerate
	R = (1, 59, 2, 60)(3, 61, 9, 67)(4, 62, 10, 68)(5, 63, 7, 65)(6, 64, 8, 66)(11, 69, 24, 82)(12, 70, 25, 83)(13, 71, 23, 81)(14, 72, 26, 84)(15, 73, 21, 79)(16, 74, 19, 77)(17, 75, 20, 78)(18, 76, 22, 80)(27, 85, 36, 94)(28, 86, 37, 95)(29, 87, 38, 96)(30, 88, 33, 91)(31, 89, 34, 92)(32, 90, 35, 93)(39, 97, 48, 106)(40, 98, 49, 107)(41, 99, 50, 108)(42, 100, 45, 103)(43, 101, 46, 104)(44, 102, 47, 105)(51, 109, 56, 114)(52, 110, 55, 113)(53, 111, 58, 116)(54, 112, 57, 115)(117, 175, 119, 177, 127, 185, 143, 201, 155, 213, 167, 225, 159, 217, 147, 205, 133, 191, 122, 180, 129, 187, 130, 188, 145, 203, 157, 215, 169, 227, 170, 228, 160, 218, 148, 206, 134, 192, 131, 189, 120, 178, 128, 186, 144, 202, 156, 214, 168, 226, 158, 216, 146, 204, 132, 190, 121, 179)(118, 176, 123, 181, 135, 193, 149, 207, 161, 219, 171, 229, 165, 223, 153, 211, 141, 199, 126, 184, 137, 195, 138, 196, 151, 209, 163, 221, 173, 231, 174, 232, 166, 224, 154, 212, 142, 200, 139, 197, 124, 182, 136, 194, 150, 208, 162, 220, 172, 230, 164, 222, 152, 210, 140, 198, 125, 183)
	L = (1, 120)(2, 124)(3, 128)(4, 130)(5, 131)(6, 117)(7, 136)(8, 138)(9, 139)(10, 118)(11, 144)(12, 145)(13, 119)(14, 127)(15, 129)(16, 134)(17, 121)(18, 122)(19, 150)(20, 151)(21, 123)(22, 135)(23, 137)(24, 142)(25, 125)(26, 126)(27, 156)(28, 157)(29, 143)(30, 148)(31, 132)(32, 133)(33, 162)(34, 163)(35, 149)(36, 154)(37, 140)(38, 141)(39, 168)(40, 169)(41, 155)(42, 160)(43, 146)(44, 147)(45, 172)(46, 173)(47, 161)(48, 166)(49, 152)(50, 153)(51, 158)(52, 170)(53, 167)(54, 159)(55, 164)(56, 174)(57, 171)(58, 165)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 4, 58, 4, 58 ), ( 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1161
Graph:: bipartite
	v = 31 e = 116 f = 31
	degree seq :: [ 4^29, 58^2 ]

E28.1176 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 29, 29})
Quotient :: dipole
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-3 * Y2, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y2)^2, (Y2 * Y1)^2, (R * Y1)^2, Y2^9 * Y3^2 ]
Map:: non-degenerate
	R = (1, 59, 2, 60)(3, 61, 9, 67)(4, 62, 10, 68)(5, 63, 7, 65)(6, 64, 8, 66)(11, 69, 21, 79)(12, 70, 22, 80)(13, 71, 20, 78)(14, 72, 19, 77)(15, 73, 17, 75)(16, 74, 18, 76)(23, 81, 33, 91)(24, 82, 34, 92)(25, 83, 32, 90)(26, 84, 31, 89)(27, 85, 29, 87)(28, 86, 30, 88)(35, 93, 45, 103)(36, 94, 46, 104)(37, 95, 44, 102)(38, 96, 43, 101)(39, 97, 41, 99)(40, 98, 42, 100)(47, 105, 57, 115)(48, 106, 58, 116)(49, 107, 56, 114)(50, 108, 55, 113)(51, 109, 53, 111)(52, 110, 54, 112)(117, 175, 119, 177, 127, 185, 139, 197, 151, 209, 163, 221, 166, 224, 154, 212, 142, 200, 130, 188, 120, 178, 128, 186, 140, 198, 152, 210, 164, 222, 168, 226, 156, 214, 144, 202, 132, 190, 122, 180, 129, 187, 141, 199, 153, 211, 165, 223, 167, 225, 155, 213, 143, 201, 131, 189, 121, 179)(118, 176, 123, 181, 133, 191, 145, 203, 157, 215, 169, 227, 172, 230, 160, 218, 148, 206, 136, 194, 124, 182, 134, 192, 146, 204, 158, 216, 170, 228, 174, 232, 162, 220, 150, 208, 138, 196, 126, 184, 135, 193, 147, 205, 159, 217, 171, 229, 173, 231, 161, 219, 149, 207, 137, 195, 125, 183)
	L = (1, 120)(2, 124)(3, 128)(4, 129)(5, 130)(6, 117)(7, 134)(8, 135)(9, 136)(10, 118)(11, 140)(12, 141)(13, 119)(14, 122)(15, 142)(16, 121)(17, 146)(18, 147)(19, 123)(20, 126)(21, 148)(22, 125)(23, 152)(24, 153)(25, 127)(26, 132)(27, 154)(28, 131)(29, 158)(30, 159)(31, 133)(32, 138)(33, 160)(34, 137)(35, 164)(36, 165)(37, 139)(38, 144)(39, 166)(40, 143)(41, 170)(42, 171)(43, 145)(44, 150)(45, 172)(46, 149)(47, 168)(48, 167)(49, 151)(50, 156)(51, 163)(52, 155)(53, 174)(54, 173)(55, 157)(56, 162)(57, 169)(58, 161)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 4, 58, 4, 58 ), ( 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1184
Graph:: bipartite
	v = 31 e = 116 f = 31
	degree seq :: [ 4^29, 58^2 ]

E28.1177 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 29, 29})
Quotient :: dipole
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-3 * Y2^-1, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y2^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, Y2^10 * Y3, (Y3 * Y2^-1)^29 ]
Map:: non-degenerate
	R = (1, 59, 2, 60)(3, 61, 9, 67)(4, 62, 10, 68)(5, 63, 7, 65)(6, 64, 8, 66)(11, 69, 22, 80)(12, 70, 20, 78)(13, 71, 21, 79)(14, 72, 18, 76)(15, 73, 19, 77)(16, 74, 17, 75)(23, 81, 34, 92)(24, 82, 32, 90)(25, 83, 33, 91)(26, 84, 30, 88)(27, 85, 31, 89)(28, 86, 29, 87)(35, 93, 46, 104)(36, 94, 44, 102)(37, 95, 45, 103)(38, 96, 42, 100)(39, 97, 43, 101)(40, 98, 41, 99)(47, 105, 58, 116)(48, 106, 56, 114)(49, 107, 57, 115)(50, 108, 54, 112)(51, 109, 55, 113)(52, 110, 53, 111)(117, 175, 119, 177, 127, 185, 139, 197, 151, 209, 163, 221, 166, 224, 154, 212, 142, 200, 130, 188, 122, 180, 129, 187, 141, 199, 153, 211, 165, 223, 167, 225, 155, 213, 143, 201, 131, 189, 120, 178, 128, 186, 140, 198, 152, 210, 164, 222, 168, 226, 156, 214, 144, 202, 132, 190, 121, 179)(118, 176, 123, 181, 133, 191, 145, 203, 157, 215, 169, 227, 172, 230, 160, 218, 148, 206, 136, 194, 126, 184, 135, 193, 147, 205, 159, 217, 171, 229, 173, 231, 161, 219, 149, 207, 137, 195, 124, 182, 134, 192, 146, 204, 158, 216, 170, 228, 174, 232, 162, 220, 150, 208, 138, 196, 125, 183)
	L = (1, 120)(2, 124)(3, 128)(4, 130)(5, 131)(6, 117)(7, 134)(8, 136)(9, 137)(10, 118)(11, 140)(12, 122)(13, 119)(14, 121)(15, 142)(16, 143)(17, 146)(18, 126)(19, 123)(20, 125)(21, 148)(22, 149)(23, 152)(24, 129)(25, 127)(26, 132)(27, 154)(28, 155)(29, 158)(30, 135)(31, 133)(32, 138)(33, 160)(34, 161)(35, 164)(36, 141)(37, 139)(38, 144)(39, 166)(40, 167)(41, 170)(42, 147)(43, 145)(44, 150)(45, 172)(46, 173)(47, 168)(48, 153)(49, 151)(50, 156)(51, 163)(52, 165)(53, 174)(54, 159)(55, 157)(56, 162)(57, 169)(58, 171)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 4, 58, 4, 58 ), ( 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1171
Graph:: bipartite
	v = 31 e = 116 f = 31
	degree seq :: [ 4^29, 58^2 ]

E28.1178 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 29, 29})
Quotient :: dipole
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2, Y3), (R * Y2)^2, (Y3^-1 * Y1)^2, (Y2 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2^4 * Y3^-3, Y3^4 * Y2 * Y3 * Y2^2, Y3^17 * Y2^-1 * Y3^-1 * Y2^-1, Y2 * Y3^21 ]
Map:: non-degenerate
	R = (1, 59, 2, 60)(3, 61, 9, 67)(4, 62, 10, 68)(5, 63, 7, 65)(6, 64, 8, 66)(11, 69, 24, 82)(12, 70, 25, 83)(13, 71, 23, 81)(14, 72, 26, 84)(15, 73, 21, 79)(16, 74, 19, 77)(17, 75, 20, 78)(18, 76, 22, 80)(27, 85, 47, 105)(28, 86, 48, 106)(29, 87, 46, 104)(30, 88, 49, 107)(31, 89, 45, 103)(32, 90, 50, 108)(33, 91, 43, 101)(34, 92, 41, 99)(35, 93, 39, 97)(36, 94, 40, 98)(37, 95, 42, 100)(38, 96, 44, 102)(51, 109, 58, 116)(52, 110, 57, 115)(53, 111, 56, 114)(54, 112, 55, 113)(117, 175, 119, 177, 127, 185, 143, 201, 148, 206, 169, 227, 153, 211, 134, 192, 147, 205, 150, 208, 131, 189, 120, 178, 128, 186, 144, 202, 167, 225, 170, 228, 152, 210, 133, 191, 122, 180, 129, 187, 145, 203, 149, 207, 130, 188, 146, 204, 168, 226, 154, 212, 151, 209, 132, 190, 121, 179)(118, 176, 123, 181, 135, 193, 155, 213, 160, 218, 173, 231, 165, 223, 142, 200, 159, 217, 162, 220, 139, 197, 124, 182, 136, 194, 156, 214, 171, 229, 174, 232, 164, 222, 141, 199, 126, 184, 137, 195, 157, 215, 161, 219, 138, 196, 158, 216, 172, 230, 166, 224, 163, 221, 140, 198, 125, 183)
	L = (1, 120)(2, 124)(3, 128)(4, 130)(5, 131)(6, 117)(7, 136)(8, 138)(9, 139)(10, 118)(11, 144)(12, 146)(13, 119)(14, 148)(15, 149)(16, 150)(17, 121)(18, 122)(19, 156)(20, 158)(21, 123)(22, 160)(23, 161)(24, 162)(25, 125)(26, 126)(27, 167)(28, 168)(29, 127)(30, 169)(31, 129)(32, 170)(33, 143)(34, 145)(35, 147)(36, 132)(37, 133)(38, 134)(39, 171)(40, 172)(41, 135)(42, 173)(43, 137)(44, 174)(45, 155)(46, 157)(47, 159)(48, 140)(49, 141)(50, 142)(51, 154)(52, 153)(53, 152)(54, 151)(55, 166)(56, 165)(57, 164)(58, 163)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 4, 58, 4, 58 ), ( 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1164
Graph:: bipartite
	v = 31 e = 116 f = 31
	degree seq :: [ 4^29, 58^2 ]

E28.1179 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 29, 29})
Quotient :: dipole
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2), (R * Y3)^2, (R * Y1)^2, (Y2^-1 * Y1)^2, (R * Y2)^2, (Y3^-1 * Y1)^2, Y3 * Y2^2 * Y3^2 * Y2^2, Y2^-1 * Y3 * Y2^-1 * Y3^3 * Y2^-1 * Y3, Y3^-8 * Y2^-1, Y3^-1 * Y2 * Y3^-3 * Y2 * Y3^-3 * Y2 * Y3^-3 * Y2 * Y3^-3 * Y2 * Y3^-3 * Y2 * Y3^-3 * Y2 * Y3^-3 * Y2 * Y3^-3 * Y2 * Y3^-3 * Y2 * Y3^-3 * Y2 * Y3^-4 * Y2^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 59, 2, 60)(3, 61, 9, 67)(4, 62, 10, 68)(5, 63, 7, 65)(6, 64, 8, 66)(11, 69, 24, 82)(12, 70, 25, 83)(13, 71, 23, 81)(14, 72, 26, 84)(15, 73, 21, 79)(16, 74, 19, 77)(17, 75, 20, 78)(18, 76, 22, 80)(27, 85, 47, 105)(28, 86, 48, 106)(29, 87, 46, 104)(30, 88, 49, 107)(31, 89, 45, 103)(32, 90, 50, 108)(33, 91, 43, 101)(34, 92, 41, 99)(35, 93, 39, 97)(36, 94, 40, 98)(37, 95, 42, 100)(38, 96, 44, 102)(51, 109, 58, 116)(52, 110, 57, 115)(53, 111, 56, 114)(54, 112, 55, 113)(117, 175, 119, 177, 127, 185, 143, 201, 154, 212, 169, 227, 149, 207, 130, 188, 146, 204, 152, 210, 133, 191, 122, 180, 129, 187, 145, 203, 167, 225, 170, 228, 150, 208, 131, 189, 120, 178, 128, 186, 144, 202, 153, 211, 134, 192, 147, 205, 168, 226, 148, 206, 151, 209, 132, 190, 121, 179)(118, 176, 123, 181, 135, 193, 155, 213, 166, 224, 173, 231, 161, 219, 138, 196, 158, 216, 164, 222, 141, 199, 126, 184, 137, 195, 157, 215, 171, 229, 174, 232, 162, 220, 139, 197, 124, 182, 136, 194, 156, 214, 165, 223, 142, 200, 159, 217, 172, 230, 160, 218, 163, 221, 140, 198, 125, 183)
	L = (1, 120)(2, 124)(3, 128)(4, 130)(5, 131)(6, 117)(7, 136)(8, 138)(9, 139)(10, 118)(11, 144)(12, 146)(13, 119)(14, 148)(15, 149)(16, 150)(17, 121)(18, 122)(19, 156)(20, 158)(21, 123)(22, 160)(23, 161)(24, 162)(25, 125)(26, 126)(27, 153)(28, 152)(29, 127)(30, 151)(31, 129)(32, 167)(33, 168)(34, 169)(35, 170)(36, 132)(37, 133)(38, 134)(39, 165)(40, 164)(41, 135)(42, 163)(43, 137)(44, 171)(45, 172)(46, 173)(47, 174)(48, 140)(49, 141)(50, 142)(51, 143)(52, 145)(53, 147)(54, 154)(55, 155)(56, 157)(57, 159)(58, 166)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 4, 58, 4, 58 ), ( 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1182
Graph:: bipartite
	v = 31 e = 116 f = 31
	degree seq :: [ 4^29, 58^2 ]

E28.1180 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 29, 29})
Quotient :: dipole
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2^-1), (R * Y1)^2, (Y2^-1 * Y1)^2, (Y3^-1 * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2^3 * Y3 * Y2 * Y3 * Y2, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^3, Y2^-2 * Y3 * Y2^-2 * Y3 * Y2^-2 * Y3 * Y2^-2 * Y3 * Y2^-2 * Y3 * Y2^-2 * Y3 * Y2^-2 * Y3 * Y2^-2 * Y3 * Y2^-4 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 59, 2, 60)(3, 61, 9, 67)(4, 62, 10, 68)(5, 63, 7, 65)(6, 64, 8, 66)(11, 69, 24, 82)(12, 70, 25, 83)(13, 71, 23, 81)(14, 72, 26, 84)(15, 73, 21, 79)(16, 74, 19, 77)(17, 75, 20, 78)(18, 76, 22, 80)(27, 85, 47, 105)(28, 86, 48, 106)(29, 87, 46, 104)(30, 88, 49, 107)(31, 89, 45, 103)(32, 90, 50, 108)(33, 91, 43, 101)(34, 92, 41, 99)(35, 93, 39, 97)(36, 94, 40, 98)(37, 95, 42, 100)(38, 96, 44, 102)(51, 109, 57, 115)(52, 110, 58, 116)(53, 111, 55, 113)(54, 112, 56, 114)(117, 175, 119, 177, 127, 185, 143, 201, 153, 211, 134, 192, 147, 205, 148, 206, 168, 226, 169, 227, 150, 208, 131, 189, 120, 178, 128, 186, 144, 202, 152, 210, 133, 191, 122, 180, 129, 187, 145, 203, 167, 225, 170, 228, 154, 212, 149, 207, 130, 188, 146, 204, 151, 209, 132, 190, 121, 179)(118, 176, 123, 181, 135, 193, 155, 213, 165, 223, 142, 200, 159, 217, 160, 218, 172, 230, 173, 231, 162, 220, 139, 197, 124, 182, 136, 194, 156, 214, 164, 222, 141, 199, 126, 184, 137, 195, 157, 215, 171, 229, 174, 232, 166, 224, 161, 219, 138, 196, 158, 216, 163, 221, 140, 198, 125, 183)
	L = (1, 120)(2, 124)(3, 128)(4, 130)(5, 131)(6, 117)(7, 136)(8, 138)(9, 139)(10, 118)(11, 144)(12, 146)(13, 119)(14, 148)(15, 149)(16, 150)(17, 121)(18, 122)(19, 156)(20, 158)(21, 123)(22, 160)(23, 161)(24, 162)(25, 125)(26, 126)(27, 152)(28, 151)(29, 127)(30, 168)(31, 129)(32, 145)(33, 147)(34, 154)(35, 169)(36, 132)(37, 133)(38, 134)(39, 164)(40, 163)(41, 135)(42, 172)(43, 137)(44, 157)(45, 159)(46, 166)(47, 173)(48, 140)(49, 141)(50, 142)(51, 143)(52, 167)(53, 170)(54, 153)(55, 155)(56, 171)(57, 174)(58, 165)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 4, 58, 4, 58 ), ( 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1174
Graph:: bipartite
	v = 31 e = 116 f = 31
	degree seq :: [ 4^29, 58^2 ]

E28.1181 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 29, 29})
Quotient :: dipole
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3^-1, Y2^-1), (Y2 * Y1)^2, (R * Y2)^2, Y3 * Y2 * Y3^3 * Y2 * Y3, Y3^-1 * Y2^4 * Y3^-1 * Y2, Y3^11 * Y2^-1 * Y3, Y3 * Y2^-1 * Y3^2 * Y2^-1 * Y3^2 * Y2^-1 * Y3^2 * Y2^-1 * Y3^2 * Y2^-1 * Y3^2 * Y2^-1 * Y3^2 * Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-3 ]
Map:: non-degenerate
	R = (1, 59, 2, 60)(3, 61, 9, 67)(4, 62, 10, 68)(5, 63, 7, 65)(6, 64, 8, 66)(11, 69, 24, 82)(12, 70, 25, 83)(13, 71, 23, 81)(14, 72, 26, 84)(15, 73, 21, 79)(16, 74, 19, 77)(17, 75, 20, 78)(18, 76, 22, 80)(27, 85, 47, 105)(28, 86, 48, 106)(29, 87, 46, 104)(30, 88, 49, 107)(31, 89, 45, 103)(32, 90, 50, 108)(33, 91, 43, 101)(34, 92, 41, 99)(35, 93, 39, 97)(36, 94, 40, 98)(37, 95, 42, 100)(38, 96, 44, 102)(51, 109, 58, 116)(52, 110, 57, 115)(53, 111, 56, 114)(54, 112, 55, 113)(117, 175, 119, 177, 127, 185, 143, 201, 149, 207, 130, 188, 146, 204, 154, 212, 168, 226, 170, 228, 152, 210, 133, 191, 122, 180, 129, 187, 145, 203, 150, 208, 131, 189, 120, 178, 128, 186, 144, 202, 167, 225, 169, 227, 148, 206, 153, 211, 134, 192, 147, 205, 151, 209, 132, 190, 121, 179)(118, 176, 123, 181, 135, 193, 155, 213, 161, 219, 138, 196, 158, 216, 166, 224, 172, 230, 174, 232, 164, 222, 141, 199, 126, 184, 137, 195, 157, 215, 162, 220, 139, 197, 124, 182, 136, 194, 156, 214, 171, 229, 173, 231, 160, 218, 165, 223, 142, 200, 159, 217, 163, 221, 140, 198, 125, 183)
	L = (1, 120)(2, 124)(3, 128)(4, 130)(5, 131)(6, 117)(7, 136)(8, 138)(9, 139)(10, 118)(11, 144)(12, 146)(13, 119)(14, 148)(15, 149)(16, 150)(17, 121)(18, 122)(19, 156)(20, 158)(21, 123)(22, 160)(23, 161)(24, 162)(25, 125)(26, 126)(27, 167)(28, 154)(29, 127)(30, 153)(31, 129)(32, 152)(33, 169)(34, 143)(35, 145)(36, 132)(37, 133)(38, 134)(39, 171)(40, 166)(41, 135)(42, 165)(43, 137)(44, 164)(45, 173)(46, 155)(47, 157)(48, 140)(49, 141)(50, 142)(51, 168)(52, 147)(53, 170)(54, 151)(55, 172)(56, 159)(57, 174)(58, 163)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 4, 58, 4, 58 ), ( 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1173
Graph:: bipartite
	v = 31 e = 116 f = 31
	degree seq :: [ 4^29, 58^2 ]

E28.1182 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 29, 29})
Quotient :: dipole
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (Y3, Y2), (Y3^-1 * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2^-1 * Y1)^2, Y2^-1 * Y3^-1 * Y2^-2 * Y3^-1, Y3^8 * Y2^-1 * Y3, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 59, 2, 60)(3, 61, 9, 67)(4, 62, 10, 68)(5, 63, 7, 65)(6, 64, 8, 66)(11, 69, 24, 82)(12, 70, 25, 83)(13, 71, 23, 81)(14, 72, 26, 84)(15, 73, 21, 79)(16, 74, 19, 77)(17, 75, 20, 78)(18, 76, 22, 80)(27, 85, 37, 95)(28, 86, 36, 94)(29, 87, 38, 96)(30, 88, 34, 92)(31, 89, 33, 91)(32, 90, 35, 93)(39, 97, 49, 107)(40, 98, 48, 106)(41, 99, 50, 108)(42, 100, 46, 104)(43, 101, 45, 103)(44, 102, 47, 105)(51, 109, 58, 116)(52, 110, 57, 115)(53, 111, 56, 114)(54, 112, 55, 113)(117, 175, 119, 177, 127, 185, 134, 192, 144, 202, 155, 213, 160, 218, 168, 226, 170, 228, 158, 216, 145, 203, 147, 205, 131, 189, 120, 178, 128, 186, 133, 191, 122, 180, 129, 187, 143, 201, 148, 206, 156, 214, 167, 225, 169, 227, 157, 215, 159, 217, 146, 204, 130, 188, 132, 190, 121, 179)(118, 176, 123, 181, 135, 193, 142, 200, 150, 208, 161, 219, 166, 224, 172, 230, 174, 232, 164, 222, 151, 209, 153, 211, 139, 197, 124, 182, 136, 194, 141, 199, 126, 184, 137, 195, 149, 207, 154, 212, 162, 220, 171, 229, 173, 231, 163, 221, 165, 223, 152, 210, 138, 196, 140, 198, 125, 183)
	L = (1, 120)(2, 124)(3, 128)(4, 130)(5, 131)(6, 117)(7, 136)(8, 138)(9, 139)(10, 118)(11, 133)(12, 132)(13, 119)(14, 145)(15, 146)(16, 147)(17, 121)(18, 122)(19, 141)(20, 140)(21, 123)(22, 151)(23, 152)(24, 153)(25, 125)(26, 126)(27, 127)(28, 129)(29, 157)(30, 158)(31, 159)(32, 134)(33, 135)(34, 137)(35, 163)(36, 164)(37, 165)(38, 142)(39, 143)(40, 144)(41, 168)(42, 169)(43, 170)(44, 148)(45, 149)(46, 150)(47, 172)(48, 173)(49, 174)(50, 154)(51, 155)(52, 156)(53, 160)(54, 167)(55, 161)(56, 162)(57, 166)(58, 171)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 4, 58, 4, 58 ), ( 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1179
Graph:: bipartite
	v = 31 e = 116 f = 31
	degree seq :: [ 4^29, 58^2 ]

E28.1183 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 29, 29})
Quotient :: dipole
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y3)^2, (Y3, Y2^-1), (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, (Y2^-1 * Y1)^2, Y2^2 * Y3^-1 * Y2 * Y3^-1, Y3^-3 * Y2^-1 * Y3^-6, Y3 * Y2^13 ]
Map:: non-degenerate
	R = (1, 59, 2, 60)(3, 61, 9, 67)(4, 62, 10, 68)(5, 63, 7, 65)(6, 64, 8, 66)(11, 69, 24, 82)(12, 70, 25, 83)(13, 71, 23, 81)(14, 72, 26, 84)(15, 73, 21, 79)(16, 74, 19, 77)(17, 75, 20, 78)(18, 76, 22, 80)(27, 85, 36, 94)(28, 86, 37, 95)(29, 87, 38, 96)(30, 88, 33, 91)(31, 89, 34, 92)(32, 90, 35, 93)(39, 97, 48, 106)(40, 98, 49, 107)(41, 99, 50, 108)(42, 100, 45, 103)(43, 101, 46, 104)(44, 102, 47, 105)(51, 109, 58, 116)(52, 110, 57, 115)(53, 111, 56, 114)(54, 112, 55, 113)(117, 175, 119, 177, 127, 185, 130, 188, 144, 202, 155, 213, 157, 215, 168, 226, 170, 228, 159, 217, 148, 206, 146, 204, 133, 191, 122, 180, 129, 187, 131, 189, 120, 178, 128, 186, 143, 201, 145, 203, 156, 214, 167, 225, 169, 227, 160, 218, 158, 216, 147, 205, 134, 192, 132, 190, 121, 179)(118, 176, 123, 181, 135, 193, 138, 196, 150, 208, 161, 219, 163, 221, 172, 230, 174, 232, 165, 223, 154, 212, 152, 210, 141, 199, 126, 184, 137, 195, 139, 197, 124, 182, 136, 194, 149, 207, 151, 209, 162, 220, 171, 229, 173, 231, 166, 224, 164, 222, 153, 211, 142, 200, 140, 198, 125, 183)
	L = (1, 120)(2, 124)(3, 128)(4, 130)(5, 131)(6, 117)(7, 136)(8, 138)(9, 139)(10, 118)(11, 143)(12, 144)(13, 119)(14, 145)(15, 127)(16, 129)(17, 121)(18, 122)(19, 149)(20, 150)(21, 123)(22, 151)(23, 135)(24, 137)(25, 125)(26, 126)(27, 155)(28, 156)(29, 157)(30, 132)(31, 133)(32, 134)(33, 161)(34, 162)(35, 163)(36, 140)(37, 141)(38, 142)(39, 167)(40, 168)(41, 169)(42, 146)(43, 147)(44, 148)(45, 171)(46, 172)(47, 173)(48, 152)(49, 153)(50, 154)(51, 170)(52, 160)(53, 159)(54, 158)(55, 174)(56, 166)(57, 165)(58, 164)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 4, 58, 4, 58 ), ( 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1162
Graph:: bipartite
	v = 31 e = 116 f = 31
	degree seq :: [ 4^29, 58^2 ]

E28.1184 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 29, 29})
Quotient :: dipole
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^2, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2^-1 * Y1)^2, Y2^14 * Y3^-1, (Y3 * Y2^-1)^29 ]
Map:: non-degenerate
	R = (1, 59, 2, 60)(3, 61, 9, 67)(4, 62, 10, 68)(5, 63, 7, 65)(6, 64, 8, 66)(11, 69, 18, 76)(12, 70, 17, 75)(13, 71, 16, 74)(14, 72, 15, 73)(19, 77, 26, 84)(20, 78, 25, 83)(21, 79, 24, 82)(22, 80, 23, 81)(27, 85, 34, 92)(28, 86, 33, 91)(29, 87, 32, 90)(30, 88, 31, 89)(35, 93, 42, 100)(36, 94, 41, 99)(37, 95, 40, 98)(38, 96, 39, 97)(43, 101, 50, 108)(44, 102, 49, 107)(45, 103, 48, 106)(46, 104, 47, 105)(51, 109, 58, 116)(52, 110, 57, 115)(53, 111, 56, 114)(54, 112, 55, 113)(117, 175, 119, 177, 127, 185, 135, 193, 143, 201, 151, 209, 159, 217, 167, 225, 169, 227, 161, 219, 153, 211, 145, 203, 137, 195, 129, 187, 120, 178, 122, 180, 128, 186, 136, 194, 144, 202, 152, 210, 160, 218, 168, 226, 170, 228, 162, 220, 154, 212, 146, 204, 138, 196, 130, 188, 121, 179)(118, 176, 123, 181, 131, 189, 139, 197, 147, 205, 155, 213, 163, 221, 171, 229, 173, 231, 165, 223, 157, 215, 149, 207, 141, 199, 133, 191, 124, 182, 126, 184, 132, 190, 140, 198, 148, 206, 156, 214, 164, 222, 172, 230, 174, 232, 166, 224, 158, 216, 150, 208, 142, 200, 134, 192, 125, 183)
	L = (1, 120)(2, 124)(3, 122)(4, 121)(5, 129)(6, 117)(7, 126)(8, 125)(9, 133)(10, 118)(11, 128)(12, 119)(13, 130)(14, 137)(15, 132)(16, 123)(17, 134)(18, 141)(19, 136)(20, 127)(21, 138)(22, 145)(23, 140)(24, 131)(25, 142)(26, 149)(27, 144)(28, 135)(29, 146)(30, 153)(31, 148)(32, 139)(33, 150)(34, 157)(35, 152)(36, 143)(37, 154)(38, 161)(39, 156)(40, 147)(41, 158)(42, 165)(43, 160)(44, 151)(45, 162)(46, 169)(47, 164)(48, 155)(49, 166)(50, 173)(51, 168)(52, 159)(53, 170)(54, 167)(55, 172)(56, 163)(57, 174)(58, 171)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 4, 58, 4, 58 ), ( 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1176
Graph:: bipartite
	v = 31 e = 116 f = 31
	degree seq :: [ 4^29, 58^2 ]

E28.1185 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 29, 29})
Quotient :: dipole
Aut^+ = D58 (small group id <58, 1>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^-2, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, (Y2 * Y1)^2, Y2^-14 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 59, 2, 60)(3, 61, 9, 67)(4, 62, 10, 68)(5, 63, 7, 65)(6, 64, 8, 66)(11, 69, 17, 75)(12, 70, 18, 76)(13, 71, 15, 73)(14, 72, 16, 74)(19, 77, 25, 83)(20, 78, 26, 84)(21, 79, 23, 81)(22, 80, 24, 82)(27, 85, 33, 91)(28, 86, 34, 92)(29, 87, 31, 89)(30, 88, 32, 90)(35, 93, 41, 99)(36, 94, 42, 100)(37, 95, 39, 97)(38, 96, 40, 98)(43, 101, 49, 107)(44, 102, 50, 108)(45, 103, 47, 105)(46, 104, 48, 106)(51, 109, 57, 115)(52, 110, 58, 116)(53, 111, 55, 113)(54, 112, 56, 114)(117, 175, 119, 177, 127, 185, 135, 193, 143, 201, 151, 209, 159, 217, 167, 225, 170, 228, 162, 220, 154, 212, 146, 204, 138, 196, 130, 188, 122, 180, 120, 178, 128, 186, 136, 194, 144, 202, 152, 210, 160, 218, 168, 226, 169, 227, 161, 219, 153, 211, 145, 203, 137, 195, 129, 187, 121, 179)(118, 176, 123, 181, 131, 189, 139, 197, 147, 205, 155, 213, 163, 221, 171, 229, 174, 232, 166, 224, 158, 216, 150, 208, 142, 200, 134, 192, 126, 184, 124, 182, 132, 190, 140, 198, 148, 206, 156, 214, 164, 222, 172, 230, 173, 231, 165, 223, 157, 215, 149, 207, 141, 199, 133, 191, 125, 183)
	L = (1, 120)(2, 124)(3, 128)(4, 119)(5, 122)(6, 117)(7, 132)(8, 123)(9, 126)(10, 118)(11, 136)(12, 127)(13, 130)(14, 121)(15, 140)(16, 131)(17, 134)(18, 125)(19, 144)(20, 135)(21, 138)(22, 129)(23, 148)(24, 139)(25, 142)(26, 133)(27, 152)(28, 143)(29, 146)(30, 137)(31, 156)(32, 147)(33, 150)(34, 141)(35, 160)(36, 151)(37, 154)(38, 145)(39, 164)(40, 155)(41, 158)(42, 149)(43, 168)(44, 159)(45, 162)(46, 153)(47, 172)(48, 163)(49, 166)(50, 157)(51, 169)(52, 167)(53, 170)(54, 161)(55, 173)(56, 171)(57, 174)(58, 165)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 4, 58, 4, 58 ), ( 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58, 4, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1159
Graph:: bipartite
	v = 31 e = 116 f = 31
	degree seq :: [ 4^29, 58^2 ]

E28.1186 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {29, 58, 58})
Quotient :: edge
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1^-1)^2, (T2, T1^-1), (F * T2)^2, T1^2 * T2^-2, (F * T1)^2, T2^28 * T1, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 6, 12, 15, 20, 23, 28, 31, 36, 39, 44, 47, 52, 55, 58, 53, 50, 45, 42, 37, 34, 29, 26, 21, 18, 13, 10, 4, 8, 2, 7, 11, 16, 19, 24, 27, 32, 35, 40, 43, 48, 51, 56, 57, 54, 49, 46, 41, 38, 33, 30, 25, 22, 17, 14, 9, 5)(59, 60, 64, 69, 73, 77, 81, 85, 89, 93, 97, 101, 105, 109, 113, 115, 111, 107, 103, 99, 95, 91, 87, 83, 79, 75, 71, 67, 62)(61, 65, 70, 74, 78, 82, 86, 90, 94, 98, 102, 106, 110, 114, 116, 112, 108, 104, 100, 96, 92, 88, 84, 80, 76, 72, 68, 63, 66)
	L = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 116^29 ), ( 116^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1251
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 58 f = 1
	degree seq :: [ 29^2, 58 ]

E28.1187 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {29, 58, 58})
Quotient :: edge
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T1^3 * T2^-2 * T1^3, T2^9 * T1^-1 * T2, T1^2 * T2 * T1 * T2^2 * T1 * T2^5 * T1, (T1^-1 * T2^-1)^58 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 45, 44, 32, 18, 8, 2, 7, 17, 31, 43, 55, 54, 42, 30, 16, 6, 15, 29, 41, 53, 56, 47, 35, 22, 28, 14, 27, 40, 52, 57, 48, 36, 23, 11, 21, 26, 39, 51, 58, 49, 37, 24, 12, 4, 10, 20, 34, 46, 50, 38, 25, 13, 5)(59, 60, 64, 72, 84, 78, 67, 75, 87, 98, 109, 104, 91, 101, 111, 115, 107, 96, 102, 112, 105, 94, 82, 71, 76, 88, 80, 69, 62)(61, 65, 73, 85, 97, 92, 77, 89, 99, 110, 116, 108, 103, 113, 114, 106, 95, 83, 90, 100, 93, 81, 70, 63, 66, 74, 86, 79, 68)
	L = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 116^29 ), ( 116^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1249
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 58 f = 1
	degree seq :: [ 29^2, 58 ]

E28.1188 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {29, 58, 58})
Quotient :: edge
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (T2, T1), (F * T2)^2, (F * T1)^2, T1^-4 * T2^-2 * T1^-2, T2 * T1 * T2^9, T1^2 * T2^-1 * T1 * T2^-2 * T1 * T2^-5 * T1, T1 * T2^-1 * T1^2 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^2 * T2^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 45, 49, 37, 24, 12, 4, 10, 20, 34, 46, 56, 51, 39, 26, 23, 11, 21, 35, 47, 57, 52, 40, 28, 14, 27, 22, 36, 48, 58, 54, 42, 30, 16, 6, 15, 29, 41, 53, 55, 44, 32, 18, 8, 2, 7, 17, 31, 43, 50, 38, 25, 13, 5)(59, 60, 64, 72, 84, 82, 71, 76, 88, 98, 109, 107, 96, 102, 112, 115, 104, 91, 101, 111, 106, 93, 78, 67, 75, 87, 80, 69, 62)(61, 65, 73, 85, 81, 70, 63, 66, 74, 86, 97, 95, 83, 90, 100, 110, 114, 103, 108, 113, 116, 105, 92, 77, 89, 99, 94, 79, 68)
	L = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 116^29 ), ( 116^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1252
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 58 f = 1
	degree seq :: [ 29^2, 58 ]

E28.1189 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {29, 58, 58})
Quotient :: edge
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1), (F * T2)^2, (F * T1)^2, T2^3 * T1^-1 * T2^3, (T1^-5 * T2)^2, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 18, 8, 2, 7, 17, 31, 30, 16, 6, 15, 29, 43, 42, 28, 14, 27, 41, 55, 54, 40, 26, 39, 53, 56, 46, 52, 38, 51, 57, 47, 34, 45, 50, 58, 48, 35, 22, 33, 44, 49, 36, 23, 11, 21, 32, 37, 24, 12, 4, 10, 20, 25, 13, 5)(59, 60, 64, 72, 84, 96, 108, 102, 90, 78, 67, 75, 87, 99, 111, 115, 106, 94, 82, 71, 76, 88, 100, 112, 104, 92, 80, 69, 62)(61, 65, 73, 85, 97, 109, 116, 107, 95, 83, 77, 89, 101, 113, 114, 105, 93, 81, 70, 63, 66, 74, 86, 98, 110, 103, 91, 79, 68)
	L = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 116^29 ), ( 116^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1247
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 58 f = 1
	degree seq :: [ 29^2, 58 ]

E28.1190 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {29, 58, 58})
Quotient :: edge
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2, T1), (F * T1)^2, T2^-4 * T1^-1 * T2^-2, T1^-9 * T2^-1 * T1^-1 * T2^-1, T1^4 * T2^-1 * T1^4 * T2^-3 * T1, (T1^-1 * T2^-1)^58 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 24, 12, 4, 10, 20, 32, 37, 23, 11, 21, 33, 44, 49, 36, 22, 34, 45, 56, 50, 48, 35, 46, 57, 52, 38, 51, 47, 58, 54, 40, 26, 39, 53, 55, 42, 28, 14, 27, 41, 43, 30, 16, 6, 15, 29, 31, 18, 8, 2, 7, 17, 25, 13, 5)(59, 60, 64, 72, 84, 96, 108, 107, 95, 82, 71, 76, 88, 100, 112, 115, 103, 91, 78, 67, 75, 87, 99, 111, 105, 93, 80, 69, 62)(61, 65, 73, 85, 97, 109, 106, 94, 81, 70, 63, 66, 74, 86, 98, 110, 114, 102, 90, 77, 83, 89, 101, 113, 116, 104, 92, 79, 68)
	L = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 116^29 ), ( 116^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1250
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 58 f = 1
	degree seq :: [ 29^2, 58 ]

E28.1191 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {29, 58, 58})
Quotient :: edge
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2^-1, T1^-1), (F * T1)^2, T2 * T1 * T2^3, T1^5 * T2^-1 * T1 * T2^-1 * T1^8, (T2^2 * T1^-1)^29 ]
Map:: non-degenerate
	R = (1, 3, 9, 12, 4, 10, 18, 21, 11, 19, 26, 29, 20, 27, 34, 37, 28, 35, 42, 45, 36, 43, 50, 53, 44, 51, 54, 58, 52, 56, 46, 55, 57, 48, 38, 47, 49, 40, 30, 39, 41, 32, 22, 31, 33, 24, 14, 23, 25, 16, 6, 15, 17, 8, 2, 7, 13, 5)(59, 60, 64, 72, 80, 88, 96, 104, 112, 108, 100, 92, 84, 76, 67, 71, 75, 83, 91, 99, 107, 115, 110, 102, 94, 86, 78, 69, 62)(61, 65, 73, 81, 89, 97, 105, 113, 116, 111, 103, 95, 87, 79, 70, 63, 66, 74, 82, 90, 98, 106, 114, 109, 101, 93, 85, 77, 68)
	L = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 116^29 ), ( 116^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1245
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 58 f = 1
	degree seq :: [ 29^2, 58 ]

E28.1192 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {29, 58, 58})
Quotient :: edge
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2, T1), (F * T1)^2, T2^4 * T1^-1, T1 * T2 * T1^13 * T2, (T1^-1 * T2^-1)^58 ]
Map:: non-degenerate
	R = (1, 3, 9, 8, 2, 7, 17, 16, 6, 15, 25, 24, 14, 23, 33, 32, 22, 31, 41, 40, 30, 39, 49, 48, 38, 47, 57, 56, 46, 55, 51, 58, 54, 52, 43, 50, 53, 44, 35, 42, 45, 36, 27, 34, 37, 28, 19, 26, 29, 20, 11, 18, 21, 12, 4, 10, 13, 5)(59, 60, 64, 72, 80, 88, 96, 104, 112, 111, 103, 95, 87, 79, 71, 67, 75, 83, 91, 99, 107, 115, 109, 101, 93, 85, 77, 69, 62)(61, 65, 73, 81, 89, 97, 105, 113, 110, 102, 94, 86, 78, 70, 63, 66, 74, 82, 90, 98, 106, 114, 116, 108, 100, 92, 84, 76, 68)
	L = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 116^29 ), ( 116^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1248
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 58 f = 1
	degree seq :: [ 29^2, 58 ]

E28.1193 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {29, 58, 58})
Quotient :: edge
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T1^-1, T2^-1), (F * T1)^2, T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-3, T1^-4 * T2^-6, T1^4 * T2^-1 * T1^3 * T2^-3, T1^29 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 51, 37, 55, 46, 28, 14, 27, 45, 40, 24, 12, 4, 10, 20, 34, 52, 58, 56, 48, 30, 16, 6, 15, 29, 47, 39, 23, 11, 21, 35, 53, 42, 57, 50, 32, 18, 8, 2, 7, 17, 31, 49, 38, 22, 36, 54, 44, 26, 43, 41, 25, 13, 5)(59, 60, 64, 72, 84, 100, 110, 91, 107, 97, 82, 71, 76, 88, 104, 112, 93, 78, 67, 75, 87, 103, 99, 108, 114, 95, 80, 69, 62)(61, 65, 73, 85, 101, 115, 116, 109, 96, 81, 70, 63, 66, 74, 86, 102, 111, 92, 77, 89, 105, 98, 83, 90, 106, 113, 94, 79, 68)
	L = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 116^29 ), ( 116^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1243
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 58 f = 1
	degree seq :: [ 29^2, 58 ]

E28.1194 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {29, 58, 58})
Quotient :: edge
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T2)^2, (F * T1)^2, T2^6 * T1^-4, T2^4 * T1^7 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 44, 26, 43, 54, 38, 22, 36, 50, 32, 18, 8, 2, 7, 17, 31, 49, 57, 42, 55, 39, 23, 11, 21, 35, 48, 30, 16, 6, 15, 29, 47, 52, 58, 56, 40, 24, 12, 4, 10, 20, 34, 46, 28, 14, 27, 45, 53, 37, 51, 41, 25, 13, 5)(59, 60, 64, 72, 84, 100, 114, 99, 108, 93, 78, 67, 75, 87, 103, 112, 97, 82, 71, 76, 88, 104, 91, 107, 110, 95, 80, 69, 62)(61, 65, 73, 85, 101, 113, 98, 83, 90, 106, 92, 77, 89, 105, 111, 96, 81, 70, 63, 66, 74, 86, 102, 115, 116, 109, 94, 79, 68)
	L = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 116^29 ), ( 116^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1246
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 58 f = 1
	degree seq :: [ 29^2, 58 ]

E28.1195 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {29, 58, 58})
Quotient :: edge
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T2)^2, (F * T1)^2, T1^6 * T2^2 * T1, T2^3 * T1^-1 * T2^5, T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^4 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 32, 18, 8, 2, 7, 17, 31, 46, 45, 30, 16, 6, 15, 29, 44, 54, 53, 43, 28, 14, 27, 37, 49, 56, 58, 52, 42, 26, 38, 22, 36, 48, 55, 57, 50, 39, 23, 11, 21, 35, 47, 51, 40, 24, 12, 4, 10, 20, 34, 41, 25, 13, 5)(59, 60, 64, 72, 84, 97, 82, 71, 76, 88, 101, 110, 115, 109, 99, 91, 104, 112, 114, 106, 93, 78, 67, 75, 87, 95, 80, 69, 62)(61, 65, 73, 85, 96, 81, 70, 63, 66, 74, 86, 100, 108, 98, 83, 90, 103, 111, 116, 113, 105, 92, 77, 89, 102, 107, 94, 79, 68)
	L = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 116^29 ), ( 116^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1241
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 58 f = 1
	degree seq :: [ 29^2, 58 ]

E28.1196 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {29, 58, 58})
Quotient :: edge
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^-1 * T1 * T2^-1 * T1^6, T2^6 * T1 * T2^2, (T1^-1 * T2^-1)^58 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 40, 24, 12, 4, 10, 20, 34, 47, 51, 39, 23, 11, 21, 35, 48, 55, 57, 50, 38, 22, 36, 26, 42, 52, 58, 56, 49, 37, 28, 14, 27, 43, 53, 54, 45, 30, 16, 6, 15, 29, 44, 46, 32, 18, 8, 2, 7, 17, 31, 41, 25, 13, 5)(59, 60, 64, 72, 84, 93, 78, 67, 75, 87, 101, 110, 113, 105, 91, 99, 104, 112, 114, 108, 97, 82, 71, 76, 88, 95, 80, 69, 62)(61, 65, 73, 85, 100, 106, 92, 77, 89, 102, 111, 116, 115, 109, 98, 83, 90, 103, 107, 96, 81, 70, 63, 66, 74, 86, 94, 79, 68)
	L = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 116^29 ), ( 116^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1244
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 58 f = 1
	degree seq :: [ 29^2, 58 ]

E28.1197 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {29, 58, 58})
Quotient :: edge
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^3 * T2^2, T2^18 * T1^-2, T1^2 * T2^-18, T2^-1 * T1 * T2^-17 * T1 ]
Map:: non-degenerate
	R = (1, 3, 9, 16, 22, 28, 34, 40, 46, 52, 56, 50, 44, 38, 32, 26, 20, 14, 6, 12, 4, 10, 17, 23, 29, 35, 41, 47, 53, 57, 51, 45, 39, 33, 27, 21, 15, 8, 2, 7, 11, 18, 24, 30, 36, 42, 48, 54, 58, 55, 49, 43, 37, 31, 25, 19, 13, 5)(59, 60, 64, 71, 73, 78, 83, 85, 90, 95, 97, 102, 107, 109, 114, 116, 111, 104, 106, 99, 92, 94, 87, 80, 82, 75, 67, 69, 62)(61, 65, 70, 63, 66, 72, 77, 79, 84, 89, 91, 96, 101, 103, 108, 113, 115, 110, 112, 105, 98, 100, 93, 86, 88, 81, 74, 76, 68)
	L = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 116^29 ), ( 116^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1239
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 58 f = 1
	degree seq :: [ 29^2, 58 ]

E28.1198 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {29, 58, 58})
Quotient :: edge
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T1 * T2^-1 * T1 * T2^-1 * T1, T1 * T2 * T1 * T2^17, (T1^-1 * T2^-1)^58 ]
Map:: non-degenerate
	R = (1, 3, 9, 16, 22, 28, 34, 40, 46, 52, 58, 53, 47, 41, 35, 29, 23, 17, 11, 8, 2, 7, 15, 21, 27, 33, 39, 45, 51, 57, 54, 48, 42, 36, 30, 24, 18, 12, 4, 10, 6, 14, 20, 26, 32, 38, 44, 50, 56, 55, 49, 43, 37, 31, 25, 19, 13, 5)(59, 60, 64, 67, 73, 78, 80, 85, 90, 92, 97, 102, 104, 109, 114, 116, 112, 107, 105, 100, 95, 93, 88, 83, 81, 76, 71, 69, 62)(61, 65, 72, 74, 79, 84, 86, 91, 96, 98, 103, 108, 110, 115, 113, 111, 106, 101, 99, 94, 89, 87, 82, 77, 75, 70, 63, 66, 68)
	L = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 116^29 ), ( 116^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1242
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 58 f = 1
	degree seq :: [ 29^2, 58 ]

E28.1199 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {29, 58, 58})
Quotient :: edge
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, T1^-1 * T2^2, (F * T1)^2, (F * T2)^2, T1^29, (T2^-1 * T1^-1)^58 ]
Map:: non-degenerate
	R = (1, 3, 2, 7, 6, 11, 10, 15, 14, 19, 18, 23, 22, 27, 26, 37, 38, 33, 34, 30, 32, 31, 36, 35, 40, 39, 42, 41, 44, 43, 46, 45, 48, 47, 56, 57, 52, 53, 49, 51, 50, 55, 54, 58, 28, 29, 24, 25, 20, 21, 16, 17, 12, 13, 8, 9, 4, 5)(59, 60, 64, 68, 72, 76, 80, 84, 96, 92, 90, 94, 98, 100, 102, 104, 106, 114, 110, 107, 108, 112, 86, 82, 78, 74, 70, 66, 62)(61, 65, 69, 73, 77, 81, 85, 95, 91, 88, 89, 93, 97, 99, 101, 103, 105, 115, 111, 109, 113, 116, 87, 83, 79, 75, 71, 67, 63)
	L = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 116^29 ), ( 116^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1237
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 58 f = 1
	degree seq :: [ 29^2, 58 ]

E28.1200 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {29, 58, 58})
Quotient :: edge
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, T1 * T2^2, (F * T2)^2, (F * T1)^2, T1^29 ]
Map:: non-degenerate
	R = (1, 3, 4, 8, 9, 12, 13, 16, 17, 20, 21, 24, 25, 28, 29, 49, 55, 56, 51, 54, 50, 52, 53, 57, 58, 47, 48, 45, 46, 43, 44, 41, 42, 39, 40, 35, 36, 31, 34, 30, 32, 33, 37, 38, 26, 27, 22, 23, 18, 19, 14, 15, 10, 11, 6, 7, 2, 5)(59, 60, 64, 68, 72, 76, 80, 84, 95, 90, 92, 94, 98, 100, 102, 104, 106, 116, 111, 108, 109, 113, 87, 83, 79, 75, 71, 67, 62)(61, 63, 65, 69, 73, 77, 81, 85, 96, 91, 88, 89, 93, 97, 99, 101, 103, 105, 115, 110, 112, 114, 107, 86, 82, 78, 74, 70, 66)
	L = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 116^29 ), ( 116^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1240
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 58 f = 1
	degree seq :: [ 29^2, 58 ]

E28.1201 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {29, 58, 58})
Quotient :: edge
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^-2 * T1^5, T2^11 * T1^-1 * T2, T1^-1 * T2^-1 * T1^-1 * T2^-3 * T1^-1 * T2^-6 * T1^-1, (T1^-1 * T2^-1)^58 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 30, 40, 50, 49, 39, 29, 18, 8, 2, 7, 17, 28, 38, 48, 58, 52, 42, 32, 22, 16, 6, 15, 27, 37, 47, 57, 53, 43, 33, 23, 11, 21, 14, 26, 36, 46, 56, 54, 44, 34, 24, 12, 4, 10, 20, 31, 41, 51, 55, 45, 35, 25, 13, 5)(59, 60, 64, 72, 78, 67, 75, 85, 94, 99, 88, 96, 105, 114, 113, 108, 116, 111, 102, 93, 97, 100, 91, 82, 71, 76, 80, 69, 62)(61, 65, 73, 84, 89, 77, 86, 95, 104, 109, 98, 106, 115, 112, 103, 107, 110, 101, 92, 83, 87, 90, 81, 70, 63, 66, 74, 79, 68)
	L = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 116^29 ), ( 116^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1235
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 58 f = 1
	degree seq :: [ 29^2, 58 ]

E28.1202 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {29, 58, 58})
Quotient :: edge
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T2)^2, (F * T1)^2, T1^3 * T2 * T1 * T2 * T1, T2 * T1 * T2^11, T2^5 * T1^-1 * T2^5 * T1^-3, T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-3 * T1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 30, 40, 50, 54, 44, 34, 24, 12, 4, 10, 20, 31, 41, 51, 56, 46, 36, 26, 14, 23, 11, 21, 32, 42, 52, 57, 47, 37, 27, 16, 6, 15, 22, 33, 43, 53, 58, 49, 39, 29, 18, 8, 2, 7, 17, 28, 38, 48, 55, 45, 35, 25, 13, 5)(59, 60, 64, 72, 82, 71, 76, 85, 94, 102, 93, 97, 105, 114, 108, 113, 116, 110, 99, 88, 96, 101, 90, 78, 67, 75, 80, 69, 62)(61, 65, 73, 81, 70, 63, 66, 74, 84, 92, 83, 87, 95, 104, 112, 103, 107, 115, 109, 98, 106, 111, 100, 89, 77, 86, 91, 79, 68)
	L = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 116^29 ), ( 116^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1238
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 58 f = 1
	degree seq :: [ 29^2, 58 ]

E28.1203 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {29, 58, 58})
Quotient :: edge
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2^-1), (T2, T1), (F * T2)^2, (F * T1)^2, T1 * T2 * T1 * T2^5, T1^7 * T2^-1 * T1 * T2^-1 * T1, T2^3 * T1^-2 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-2 * T2^2 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 23, 11, 21, 35, 46, 54, 50, 37, 48, 39, 51, 57, 53, 43, 28, 14, 27, 42, 32, 18, 8, 2, 7, 17, 31, 24, 12, 4, 10, 20, 34, 45, 38, 22, 36, 47, 55, 58, 56, 49, 41, 26, 40, 52, 44, 30, 16, 6, 15, 29, 25, 13, 5)(59, 60, 64, 72, 84, 97, 105, 93, 78, 67, 75, 87, 100, 110, 115, 116, 112, 103, 91, 82, 71, 76, 88, 101, 107, 95, 80, 69, 62)(61, 65, 73, 85, 98, 109, 113, 104, 92, 77, 89, 83, 90, 102, 111, 114, 108, 96, 81, 70, 63, 66, 74, 86, 99, 106, 94, 79, 68)
	L = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 116^29 ), ( 116^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1233
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 58 f = 1
	degree seq :: [ 29^2, 58 ]

E28.1204 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {29, 58, 58})
Quotient :: edge
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1), (F * T2)^2, (F * T1)^2, T2^2 * T1^-1 * T2^4 * T1^-1, T1^5 * T2 * T1 * T2 * T1^3, (T1^-1 * T2^-1)^58 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 30, 16, 6, 15, 29, 44, 52, 41, 26, 40, 47, 55, 58, 56, 49, 36, 22, 34, 45, 38, 24, 12, 4, 10, 20, 32, 18, 8, 2, 7, 17, 31, 43, 28, 14, 27, 42, 53, 57, 51, 39, 48, 35, 46, 54, 50, 37, 23, 11, 21, 33, 25, 13, 5)(59, 60, 64, 72, 84, 97, 107, 95, 82, 71, 76, 88, 101, 110, 115, 116, 112, 103, 91, 78, 67, 75, 87, 100, 105, 93, 80, 69, 62)(61, 65, 73, 85, 98, 106, 94, 81, 70, 63, 66, 74, 86, 99, 109, 114, 108, 96, 83, 90, 77, 89, 102, 111, 113, 104, 92, 79, 68)
	L = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 116^29 ), ( 116^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1236
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 58 f = 1
	degree seq :: [ 29^2, 58 ]

E28.1205 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {29, 58, 58})
Quotient :: edge
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2^-1), (F * T2)^2, (T1^-1, T2), (F * T1)^2, T1^-3 * T2^-4, T1^-13 * T2^2 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 22, 32, 39, 46, 49, 56, 50, 53, 44, 35, 26, 29, 18, 8, 2, 7, 17, 23, 11, 21, 31, 38, 41, 48, 55, 58, 52, 43, 34, 37, 28, 16, 6, 15, 24, 12, 4, 10, 20, 30, 33, 40, 47, 54, 57, 51, 42, 45, 36, 27, 14, 25, 13, 5)(59, 60, 64, 72, 84, 92, 100, 108, 113, 105, 97, 89, 78, 67, 75, 82, 71, 76, 86, 94, 102, 110, 115, 107, 99, 91, 80, 69, 62)(61, 65, 73, 83, 87, 95, 103, 111, 116, 112, 104, 96, 88, 77, 81, 70, 63, 66, 74, 85, 93, 101, 109, 114, 106, 98, 90, 79, 68)
	L = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 116^29 ), ( 116^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1231
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 58 f = 1
	degree seq :: [ 29^2, 58 ]

E28.1206 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {29, 58, 58})
Quotient :: edge
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2), (F * T2)^2, (T1^-1, T2^-1), (F * T1)^2, T2^-1 * T1 * T2^-1 * T1^2 * T2^-2, T1^4 * T2 * T1^2 * T2 * T1^7, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 14, 27, 36, 45, 42, 51, 54, 57, 48, 39, 30, 33, 24, 12, 4, 10, 20, 16, 6, 15, 28, 37, 34, 43, 52, 58, 56, 47, 38, 41, 32, 23, 11, 21, 18, 8, 2, 7, 17, 29, 26, 35, 44, 53, 50, 55, 46, 49, 40, 31, 22, 25, 13, 5)(59, 60, 64, 72, 84, 92, 100, 108, 114, 106, 98, 90, 82, 71, 76, 78, 67, 75, 86, 94, 102, 110, 112, 104, 96, 88, 80, 69, 62)(61, 65, 73, 85, 93, 101, 109, 113, 105, 97, 89, 81, 70, 63, 66, 74, 77, 87, 95, 103, 111, 116, 115, 107, 99, 91, 83, 79, 68)
	L = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 116^29 ), ( 116^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1234
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 58 f = 1
	degree seq :: [ 29^2, 58 ]

E28.1207 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {29, 58, 58})
Quotient :: edge
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2^-1), (F * T2)^2, (F * T1)^2, T1^2 * T2^-1 * T1 * T2^-3 * T1^2, T2^-4 * T1^-1 * T2^-6 * T1^-1, T1 * T2^-1 * T1 * T2^-3 * T1^-2 * T2^-2 * T1^-2 * T2^-4, T1^-2 * T2^48, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 46, 56, 49, 39, 23, 11, 21, 35, 28, 14, 27, 43, 53, 57, 47, 37, 32, 18, 8, 2, 7, 17, 31, 45, 55, 50, 40, 24, 12, 4, 10, 20, 34, 26, 42, 52, 58, 48, 38, 22, 36, 30, 16, 6, 15, 29, 44, 54, 51, 41, 25, 13, 5)(59, 60, 64, 72, 84, 91, 103, 112, 115, 106, 97, 82, 71, 76, 88, 93, 78, 67, 75, 87, 101, 110, 114, 108, 99, 95, 80, 69, 62)(61, 65, 73, 85, 100, 104, 113, 109, 105, 96, 81, 70, 63, 66, 74, 86, 92, 77, 89, 102, 111, 116, 107, 98, 83, 90, 94, 79, 68)
	L = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 116^29 ), ( 116^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1229
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 58 f = 1
	degree seq :: [ 29^2, 58 ]

E28.1208 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {29, 58, 58})
Quotient :: edge
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1), (F * T2)^2, (F * T1)^2, T1^4 * T2^4 * T1, T1^3 * T2 * T1 * T2^3 * T1, T2^3 * T1^-1 * T2^6 * T1^-1 * T2, T2 * T1^3 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^2 * T1^2 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 46, 54, 44, 30, 16, 6, 15, 29, 38, 22, 36, 49, 57, 52, 42, 26, 40, 24, 12, 4, 10, 20, 34, 47, 55, 45, 32, 18, 8, 2, 7, 17, 31, 37, 50, 58, 53, 43, 28, 14, 27, 39, 23, 11, 21, 35, 48, 56, 51, 41, 25, 13, 5)(59, 60, 64, 72, 84, 99, 103, 112, 116, 107, 93, 78, 67, 75, 87, 97, 82, 71, 76, 88, 101, 110, 114, 105, 91, 95, 80, 69, 62)(61, 65, 73, 85, 98, 83, 90, 102, 111, 115, 106, 92, 77, 89, 96, 81, 70, 63, 66, 74, 86, 100, 109, 113, 104, 108, 94, 79, 68)
	L = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 116^29 ), ( 116^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1232
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 58 f = 1
	degree seq :: [ 29^2, 58 ]

E28.1209 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {29, 58, 58})
Quotient :: edge
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (T2, T1), (F * T2)^2, (F * T1)^2, T1^-4 * T2^-1 * T1^-1 * T2^-1 * T1^-3, T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-1 * T1, T1^-5 * T2^6, T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^4 * T2^-2 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 51, 42, 38, 22, 36, 54, 48, 30, 16, 6, 15, 29, 47, 57, 40, 24, 12, 4, 10, 20, 34, 52, 44, 26, 43, 37, 55, 50, 32, 18, 8, 2, 7, 17, 31, 49, 56, 39, 23, 11, 21, 35, 53, 46, 28, 14, 27, 45, 58, 41, 25, 13, 5)(59, 60, 64, 72, 84, 100, 97, 82, 71, 76, 88, 104, 110, 91, 107, 115, 99, 108, 112, 93, 78, 67, 75, 87, 103, 95, 80, 69, 62)(61, 65, 73, 85, 101, 96, 81, 70, 63, 66, 74, 86, 102, 109, 114, 98, 83, 90, 106, 111, 92, 77, 89, 105, 116, 113, 94, 79, 68)
	L = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 116^29 ), ( 116^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1227
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 58 f = 1
	degree seq :: [ 29^2, 58 ]

E28.1210 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {29, 58, 58})
Quotient :: edge
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T2)^2, (F * T1)^2, T1^-1 * T2 * T1^-2 * T2 * T1^-5, T2^-2 * T1 * T2^-4 * T1 * T2^-2 * T1, T1^2 * T2 * T1 * T2 * T1 * T2^4 * T1, T1^-2 * T2^2 * T1^-2 * T2 * T1^3 * T2^-2 * T1 * T2^-1, T2^2 * T1^2 * T2^3 * T1^2 * T2^3 * T1^2 * T2^3 * T1^2 * T2^3 * T1^2 * T2^3 * T1^2 * T2^3 * T1^2 * T2^3 * T1^2 * T2^3 * T1^2 * T2^3 * T1^2 * T2^3 * T1^2 * T2^3 * T1^2 * T2^3 * T1^2 * T2^3 * T1^2 * T2^3 * T1^2 * T2^3 * T1^2 * T2^3 * T1^2 * T2^3 * T1^2 * T2^3 * T1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 51, 46, 28, 14, 27, 45, 56, 39, 23, 11, 21, 35, 53, 50, 32, 18, 8, 2, 7, 17, 31, 49, 54, 37, 44, 26, 43, 57, 40, 24, 12, 4, 10, 20, 34, 52, 48, 30, 16, 6, 15, 29, 47, 55, 38, 22, 36, 42, 58, 41, 25, 13, 5)(59, 60, 64, 72, 84, 100, 93, 78, 67, 75, 87, 103, 115, 99, 108, 110, 91, 107, 113, 97, 82, 71, 76, 88, 104, 95, 80, 69, 62)(61, 65, 73, 85, 101, 116, 111, 92, 77, 89, 105, 114, 98, 83, 90, 106, 109, 112, 96, 81, 70, 63, 66, 74, 86, 102, 94, 79, 68)
	L = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 116^29 ), ( 116^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1230
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 58 f = 1
	degree seq :: [ 29^2, 58 ]

E28.1211 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {29, 58, 58})
Quotient :: edge
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1), T2^-2 * T1^-4, T2^-14 * T1, T1 * T2^-1 * T1 * T2^-5 * T1^2 * T2^-6 * T1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 27, 35, 43, 51, 50, 42, 34, 26, 18, 8, 2, 7, 17, 25, 33, 41, 49, 57, 56, 48, 40, 32, 24, 16, 6, 15, 11, 21, 29, 37, 45, 53, 58, 55, 47, 39, 31, 23, 14, 12, 4, 10, 20, 28, 36, 44, 52, 54, 46, 38, 30, 22, 13, 5)(59, 60, 64, 72, 71, 76, 82, 89, 88, 92, 98, 105, 104, 108, 114, 116, 110, 101, 107, 103, 94, 85, 91, 87, 78, 67, 75, 69, 62)(61, 65, 73, 70, 63, 66, 74, 81, 80, 84, 90, 97, 96, 100, 106, 113, 112, 109, 115, 111, 102, 93, 99, 95, 86, 77, 83, 79, 68)
	L = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 116^29 ), ( 116^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1226
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 58 f = 1
	degree seq :: [ 29^2, 58 ]

E28.1212 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {29, 58, 58})
Quotient :: edge
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (T1, T2^-1), (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, T2^14 * T1, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 27, 35, 43, 51, 53, 45, 37, 29, 21, 12, 4, 10, 14, 23, 31, 39, 47, 55, 58, 52, 44, 36, 28, 20, 11, 16, 6, 15, 24, 32, 40, 48, 56, 57, 50, 42, 34, 26, 18, 8, 2, 7, 17, 25, 33, 41, 49, 54, 46, 38, 30, 22, 13, 5)(59, 60, 64, 72, 67, 75, 82, 89, 85, 91, 98, 105, 101, 107, 114, 116, 111, 104, 108, 102, 95, 88, 92, 86, 79, 71, 76, 69, 62)(61, 65, 73, 81, 77, 83, 90, 97, 93, 99, 106, 113, 109, 112, 115, 110, 103, 96, 100, 94, 87, 80, 84, 78, 70, 63, 66, 74, 68)
	L = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 116^29 ), ( 116^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1228
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 58 f = 1
	degree seq :: [ 29^2, 58 ]

E28.1213 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {29, 58, 58})
Quotient :: edge
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-3, (F * T1)^2, (F * T2)^2, T1 * T2^19, (T2^-1 * T1^-1)^29 ]
Map:: non-degenerate
	R = (1, 3, 9, 15, 21, 27, 33, 39, 45, 51, 57, 52, 46, 40, 34, 28, 22, 16, 10, 4, 6, 12, 18, 24, 30, 36, 42, 48, 54, 58, 56, 50, 44, 38, 32, 26, 20, 14, 8, 2, 7, 13, 19, 25, 31, 37, 43, 49, 55, 53, 47, 41, 35, 29, 23, 17, 11, 5)(59, 60, 64, 61, 65, 70, 67, 71, 76, 73, 77, 82, 79, 83, 88, 85, 89, 94, 91, 95, 100, 97, 101, 106, 103, 107, 112, 109, 113, 116, 115, 111, 114, 110, 105, 108, 104, 99, 102, 98, 93, 96, 92, 87, 90, 86, 81, 84, 80, 75, 78, 74, 69, 72, 68, 63, 66, 62)
	L = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1258
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.1214 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {29, 58, 58})
Quotient :: edge
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, T1^-3 * T2^-1, (F * T2)^2, (F * T1)^2, T2^-19 * T1 ]
Map:: non-degenerate
	R = (1, 3, 9, 15, 21, 27, 33, 39, 45, 51, 56, 50, 44, 38, 32, 26, 20, 14, 8, 2, 7, 13, 19, 25, 31, 37, 43, 49, 55, 58, 54, 48, 42, 36, 30, 24, 18, 12, 6, 4, 10, 16, 22, 28, 34, 40, 46, 52, 57, 53, 47, 41, 35, 29, 23, 17, 11, 5)(59, 60, 64, 63, 66, 70, 69, 72, 76, 75, 78, 82, 81, 84, 88, 87, 90, 94, 93, 96, 100, 99, 102, 106, 105, 108, 112, 111, 114, 116, 115, 109, 113, 110, 103, 107, 104, 97, 101, 98, 91, 95, 92, 85, 89, 86, 79, 83, 80, 73, 77, 74, 67, 71, 68, 61, 65, 62)
	L = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1254
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.1215 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {29, 58, 58})
Quotient :: edge
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1), (F * T2)^2, (F * T1)^2, T1^-5 * T2, T2 * T1^-2 * T2^11, T2^2 * T1^-2 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-2 * T2^3 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 29, 39, 49, 56, 46, 36, 26, 16, 6, 15, 25, 35, 45, 55, 52, 42, 32, 22, 12, 4, 10, 20, 30, 40, 50, 58, 48, 38, 28, 18, 8, 2, 7, 17, 27, 37, 47, 57, 51, 41, 31, 21, 11, 14, 24, 34, 44, 54, 53, 43, 33, 23, 13, 5)(59, 60, 64, 72, 68, 61, 65, 73, 82, 78, 67, 75, 83, 92, 88, 77, 85, 93, 102, 98, 87, 95, 103, 112, 108, 97, 105, 113, 111, 116, 107, 115, 110, 101, 106, 114, 109, 100, 91, 96, 104, 99, 90, 81, 86, 94, 89, 80, 71, 76, 84, 79, 70, 63, 66, 74, 69, 62)
	L = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1260
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.1216 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {29, 58, 58})
Quotient :: edge
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (T2, T1), (F * T1)^2, (F * T2)^2, T2 * T1^2 * T2^-1 * T1^-2, T2^-1 * T1^-5, T2^-2 * T1^-1 * T2^-10 * T1^-1, T1^-2 * T2^-2 * T1 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^2 * T2^-4 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 29, 39, 49, 54, 44, 34, 24, 14, 11, 21, 31, 41, 51, 58, 48, 38, 28, 18, 8, 2, 7, 17, 27, 37, 47, 57, 52, 42, 32, 22, 12, 4, 10, 20, 30, 40, 50, 56, 46, 36, 26, 16, 6, 15, 25, 35, 45, 55, 53, 43, 33, 23, 13, 5)(59, 60, 64, 72, 70, 63, 66, 74, 82, 80, 71, 76, 84, 92, 90, 81, 86, 94, 102, 100, 91, 96, 104, 112, 110, 101, 106, 114, 107, 115, 111, 116, 108, 97, 105, 113, 109, 98, 87, 95, 103, 99, 88, 77, 85, 93, 89, 78, 67, 75, 83, 79, 68, 61, 65, 73, 69, 62)
	L = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1257
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.1217 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {29, 58, 58})
Quotient :: edge
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2 * T1^-3 * T2^-1 * T1^3, T1^-2 * T2 * T1^-5, T1 * T2 * T1 * T2^7, T1^-1 * T2 * T1^-1 * T2^2 * T1^-4 * T2^-1 * T1^-1 * T2^-1, T2^3 * T1^-2 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-2 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 47, 37, 23, 11, 21, 35, 49, 56, 58, 53, 42, 28, 14, 27, 41, 52, 46, 32, 18, 8, 2, 7, 17, 31, 45, 38, 24, 12, 4, 10, 20, 34, 48, 55, 50, 36, 22, 26, 40, 51, 57, 54, 44, 30, 16, 6, 15, 29, 43, 39, 25, 13, 5)(59, 60, 64, 72, 84, 79, 68, 61, 65, 73, 85, 98, 93, 78, 67, 75, 87, 99, 109, 107, 92, 77, 89, 101, 110, 115, 114, 106, 91, 103, 97, 104, 112, 116, 113, 105, 96, 83, 90, 102, 111, 108, 95, 82, 71, 76, 88, 100, 94, 81, 70, 63, 66, 74, 86, 80, 69, 62)
	L = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1255
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.1218 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {29, 58, 58})
Quotient :: edge
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2^-1, T1), T2 * T1^3 * T2^-1 * T1^-3, T1^-1 * T2^2 * T1^2 * T2^-2 * T1^-1, T2^-1 * T1^-7, T2^-8 * T1^2, T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-3 * T1^3 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 44, 30, 16, 6, 15, 29, 43, 54, 57, 51, 40, 26, 22, 36, 48, 55, 50, 38, 24, 12, 4, 10, 20, 34, 46, 32, 18, 8, 2, 7, 17, 31, 45, 53, 42, 28, 14, 27, 41, 52, 58, 56, 49, 37, 23, 11, 21, 35, 47, 39, 25, 13, 5)(59, 60, 64, 72, 84, 81, 70, 63, 66, 74, 86, 98, 95, 82, 71, 76, 88, 100, 109, 107, 96, 83, 90, 102, 111, 115, 114, 108, 97, 104, 91, 103, 112, 116, 113, 105, 92, 77, 89, 101, 110, 106, 93, 78, 67, 75, 87, 99, 94, 79, 68, 61, 65, 73, 85, 80, 69, 62)
	L = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1259
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.1219 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {29, 58, 58})
Quotient :: edge
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^-4 * T1^-1 * T2^-1 * T1^-3 * T2^-1, T1^-1 * T2 * T1^-8, T2^2 * T1^-1 * T2 * T1^-1 * T2^4 * T1^-3, T2^4 * T1^-1 * T2^2 * T1^5, (T1^-1 * T2^-1)^29 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 51, 37, 42, 55, 50, 32, 18, 8, 2, 7, 17, 31, 49, 38, 22, 36, 54, 58, 48, 30, 16, 6, 15, 29, 47, 39, 23, 11, 21, 35, 53, 57, 46, 28, 14, 27, 45, 40, 24, 12, 4, 10, 20, 34, 52, 56, 44, 26, 43, 41, 25, 13, 5)(59, 60, 64, 72, 84, 100, 94, 79, 68, 61, 65, 73, 85, 101, 113, 112, 93, 78, 67, 75, 87, 103, 99, 108, 116, 111, 92, 77, 89, 105, 98, 83, 90, 106, 115, 110, 91, 107, 97, 82, 71, 76, 88, 104, 114, 109, 96, 81, 70, 63, 66, 74, 86, 102, 95, 80, 69, 62)
	L = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1264
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.1220 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {29, 58, 58})
Quotient :: edge
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T2^5 * T1^-1 * T2 * T1^-3, T2^-3 * T1^2 * T2^3 * T1^-2, T1^-2 * T2^-1 * T1^-7, T2^-2 * T1^-2 * T2^-1 * T1^-1 * T2^-1 * T1^-2 * T2^-3, T2^-2 * T1^4 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 44, 26, 43, 56, 54, 40, 24, 12, 4, 10, 20, 34, 46, 28, 14, 27, 45, 57, 53, 39, 23, 11, 21, 35, 48, 30, 16, 6, 15, 29, 47, 58, 52, 38, 22, 36, 50, 32, 18, 8, 2, 7, 17, 31, 49, 55, 42, 37, 51, 41, 25, 13, 5)(59, 60, 64, 72, 84, 100, 96, 81, 70, 63, 66, 74, 86, 102, 113, 110, 97, 82, 71, 76, 88, 104, 91, 107, 116, 111, 98, 83, 90, 106, 92, 77, 89, 105, 115, 112, 99, 108, 93, 78, 67, 75, 87, 103, 114, 109, 94, 79, 68, 61, 65, 73, 85, 101, 95, 80, 69, 62)
	L = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1262
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.1221 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {29, 58, 58})
Quotient :: edge
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^2 * T2 * T1 * T2^4, T1^-1 * T2 * T1^-10, T2^2 * T1^-1 * T2 * T1^-2 * T2^2 * T1^6, T1^-3 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 22, 36, 45, 54, 57, 50, 38, 49, 42, 30, 16, 6, 15, 29, 24, 12, 4, 10, 20, 34, 43, 37, 46, 55, 58, 51, 40, 26, 39, 32, 18, 8, 2, 7, 17, 31, 23, 11, 21, 35, 44, 53, 47, 48, 56, 52, 41, 28, 14, 27, 25, 13, 5)(59, 60, 64, 72, 84, 96, 106, 104, 94, 79, 68, 61, 65, 73, 85, 97, 107, 114, 113, 103, 93, 78, 67, 75, 87, 83, 90, 100, 110, 116, 112, 102, 92, 77, 89, 82, 71, 76, 88, 99, 109, 115, 111, 101, 91, 81, 70, 63, 66, 74, 86, 98, 108, 105, 95, 80, 69, 62)
	L = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1263
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.1222 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {29, 58, 58})
Quotient :: edge
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2^-1, T1), (F * T1)^2, T2^-3 * T1 * T2^-1 * T1^2 * T2^-1, T1^-4 * T2^2 * T1^3 * T2^-1 * T1 * T2^-1, T1^-2 * T2^-1 * T1^-9, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 28, 14, 27, 41, 52, 56, 48, 44, 53, 47, 36, 23, 11, 21, 32, 18, 8, 2, 7, 17, 31, 40, 26, 39, 51, 58, 54, 45, 34, 43, 37, 24, 12, 4, 10, 20, 30, 16, 6, 15, 29, 42, 50, 38, 49, 57, 55, 46, 35, 22, 33, 25, 13, 5)(59, 60, 64, 72, 84, 96, 106, 103, 93, 81, 70, 63, 66, 74, 86, 98, 108, 114, 112, 104, 94, 82, 71, 76, 88, 77, 89, 100, 110, 116, 113, 105, 95, 83, 90, 78, 67, 75, 87, 99, 109, 115, 111, 101, 91, 79, 68, 61, 65, 73, 85, 97, 107, 102, 92, 80, 69, 62)
	L = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1261
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.1223 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {29, 58, 58})
Quotient :: edge
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T1)^2, (F * T2)^2, T2^3 * T1^-1 * T2 * T1^-1, T2^-3 * T1^-13, (T1^-1 * T2^-1)^29 ]
Map:: non-degenerate
	R = (1, 3, 9, 16, 6, 15, 26, 33, 23, 32, 42, 49, 39, 48, 58, 52, 55, 54, 45, 36, 43, 38, 29, 20, 27, 22, 12, 4, 10, 18, 8, 2, 7, 17, 25, 14, 24, 34, 41, 31, 40, 50, 57, 47, 56, 53, 44, 51, 46, 37, 28, 35, 30, 21, 11, 19, 13, 5)(59, 60, 64, 72, 81, 89, 97, 105, 113, 109, 101, 93, 85, 77, 68, 61, 65, 73, 82, 90, 98, 106, 114, 112, 104, 96, 88, 80, 71, 76, 67, 75, 84, 92, 100, 108, 116, 111, 103, 95, 87, 79, 70, 63, 66, 74, 83, 91, 99, 107, 115, 110, 102, 94, 86, 78, 69, 62)
	L = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1256
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.1224 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {29, 58, 58})
Quotient :: edge
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T1, T2^-1), (F * T1)^2, T1^-1 * T2^-1 * T1^-1 * T2^-3, T2^2 * T1^-1 * T2 * T1^-12, T1^-3 * T2^23 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 11, 21, 28, 35, 30, 37, 44, 51, 46, 53, 57, 47, 56, 50, 41, 31, 40, 34, 25, 14, 24, 18, 8, 2, 7, 17, 12, 4, 10, 20, 27, 22, 29, 36, 43, 38, 45, 52, 55, 54, 58, 49, 39, 48, 42, 33, 23, 32, 26, 16, 6, 15, 13, 5)(59, 60, 64, 72, 81, 89, 97, 105, 113, 109, 101, 93, 85, 77, 70, 63, 66, 74, 83, 91, 99, 107, 115, 110, 102, 94, 86, 78, 67, 75, 71, 76, 84, 92, 100, 108, 116, 111, 103, 95, 87, 79, 68, 61, 65, 73, 82, 90, 98, 106, 114, 112, 104, 96, 88, 80, 69, 62)
	L = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1253
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.1225 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {29, 58, 58})
Quotient :: edge
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2, T1), (F * T1)^2, T2^-1 * T1^-1 * T2^-2 * T1^-6, T2^6 * T1^-1 * T2 * T1^-2, (T1^-1 * T2^-1)^29 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 46, 28, 14, 27, 45, 37, 52, 57, 53, 40, 24, 12, 4, 10, 20, 34, 48, 30, 16, 6, 15, 29, 47, 56, 58, 54, 42, 39, 23, 11, 21, 35, 50, 32, 18, 8, 2, 7, 17, 31, 49, 55, 44, 26, 43, 38, 22, 36, 51, 41, 25, 13, 5)(59, 60, 64, 72, 84, 100, 98, 83, 90, 106, 91, 107, 114, 110, 94, 79, 68, 61, 65, 73, 85, 101, 97, 82, 71, 76, 88, 104, 113, 116, 115, 109, 93, 78, 67, 75, 87, 103, 96, 81, 70, 63, 66, 74, 86, 102, 112, 111, 99, 108, 92, 77, 89, 105, 95, 80, 69, 62)
	L = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1265
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.1226 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {29, 58, 58})
Quotient :: loop
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1^-1)^2, (T2, T1^-1), (F * T2)^2, T1^2 * T2^-2, (F * T1)^2, T2^28 * T1, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 59, 3, 61, 6, 64, 12, 70, 15, 73, 20, 78, 23, 81, 28, 86, 31, 89, 36, 94, 39, 97, 44, 102, 47, 105, 52, 110, 55, 113, 58, 116, 53, 111, 50, 108, 45, 103, 42, 100, 37, 95, 34, 92, 29, 87, 26, 84, 21, 79, 18, 76, 13, 71, 10, 68, 4, 62, 8, 66, 2, 60, 7, 65, 11, 69, 16, 74, 19, 77, 24, 82, 27, 85, 32, 90, 35, 93, 40, 98, 43, 101, 48, 106, 51, 109, 56, 114, 57, 115, 54, 112, 49, 107, 46, 104, 41, 99, 38, 96, 33, 91, 30, 88, 25, 83, 22, 80, 17, 75, 14, 72, 9, 67, 5, 63)
	L = (1, 60)(2, 64)(3, 65)(4, 59)(5, 66)(6, 69)(7, 70)(8, 61)(9, 62)(10, 63)(11, 73)(12, 74)(13, 67)(14, 68)(15, 77)(16, 78)(17, 71)(18, 72)(19, 81)(20, 82)(21, 75)(22, 76)(23, 85)(24, 86)(25, 79)(26, 80)(27, 89)(28, 90)(29, 83)(30, 84)(31, 93)(32, 94)(33, 87)(34, 88)(35, 97)(36, 98)(37, 91)(38, 92)(39, 101)(40, 102)(41, 95)(42, 96)(43, 105)(44, 106)(45, 99)(46, 100)(47, 109)(48, 110)(49, 103)(50, 104)(51, 113)(52, 114)(53, 107)(54, 108)(55, 115)(56, 116)(57, 111)(58, 112)
	local type(s) :: { ( 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1211
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 58 f = 3
	degree seq :: [ 116 ]

E28.1227 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {29, 58, 58})
Quotient :: loop
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T1^3 * T2^-2 * T1^3, T2^9 * T1^-1 * T2, T1^2 * T2 * T1 * T2^2 * T1 * T2^5 * T1, (T1^-1 * T2^-1)^58 ]
Map:: non-degenerate
	R = (1, 59, 3, 61, 9, 67, 19, 77, 33, 91, 45, 103, 44, 102, 32, 90, 18, 76, 8, 66, 2, 60, 7, 65, 17, 75, 31, 89, 43, 101, 55, 113, 54, 112, 42, 100, 30, 88, 16, 74, 6, 64, 15, 73, 29, 87, 41, 99, 53, 111, 56, 114, 47, 105, 35, 93, 22, 80, 28, 86, 14, 72, 27, 85, 40, 98, 52, 110, 57, 115, 48, 106, 36, 94, 23, 81, 11, 69, 21, 79, 26, 84, 39, 97, 51, 109, 58, 116, 49, 107, 37, 95, 24, 82, 12, 70, 4, 62, 10, 68, 20, 78, 34, 92, 46, 104, 50, 108, 38, 96, 25, 83, 13, 71, 5, 63)
	L = (1, 60)(2, 64)(3, 65)(4, 59)(5, 66)(6, 72)(7, 73)(8, 74)(9, 75)(10, 61)(11, 62)(12, 63)(13, 76)(14, 84)(15, 85)(16, 86)(17, 87)(18, 88)(19, 89)(20, 67)(21, 68)(22, 69)(23, 70)(24, 71)(25, 90)(26, 78)(27, 97)(28, 79)(29, 98)(30, 80)(31, 99)(32, 100)(33, 101)(34, 77)(35, 81)(36, 82)(37, 83)(38, 102)(39, 92)(40, 109)(41, 110)(42, 93)(43, 111)(44, 112)(45, 113)(46, 91)(47, 94)(48, 95)(49, 96)(50, 103)(51, 104)(52, 116)(53, 115)(54, 105)(55, 114)(56, 106)(57, 107)(58, 108)
	local type(s) :: { ( 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1209
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 58 f = 3
	degree seq :: [ 116 ]

E28.1228 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {29, 58, 58})
Quotient :: loop
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (T2, T1), (F * T2)^2, (F * T1)^2, T1^-4 * T2^-2 * T1^-2, T2 * T1 * T2^9, T1^2 * T2^-1 * T1 * T2^-2 * T1 * T2^-5 * T1, T1 * T2^-1 * T1^2 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^2 * T2^-1 ]
Map:: non-degenerate
	R = (1, 59, 3, 61, 9, 67, 19, 77, 33, 91, 45, 103, 49, 107, 37, 95, 24, 82, 12, 70, 4, 62, 10, 68, 20, 78, 34, 92, 46, 104, 56, 114, 51, 109, 39, 97, 26, 84, 23, 81, 11, 69, 21, 79, 35, 93, 47, 105, 57, 115, 52, 110, 40, 98, 28, 86, 14, 72, 27, 85, 22, 80, 36, 94, 48, 106, 58, 116, 54, 112, 42, 100, 30, 88, 16, 74, 6, 64, 15, 73, 29, 87, 41, 99, 53, 111, 55, 113, 44, 102, 32, 90, 18, 76, 8, 66, 2, 60, 7, 65, 17, 75, 31, 89, 43, 101, 50, 108, 38, 96, 25, 83, 13, 71, 5, 63)
	L = (1, 60)(2, 64)(3, 65)(4, 59)(5, 66)(6, 72)(7, 73)(8, 74)(9, 75)(10, 61)(11, 62)(12, 63)(13, 76)(14, 84)(15, 85)(16, 86)(17, 87)(18, 88)(19, 89)(20, 67)(21, 68)(22, 69)(23, 70)(24, 71)(25, 90)(26, 82)(27, 81)(28, 97)(29, 80)(30, 98)(31, 99)(32, 100)(33, 101)(34, 77)(35, 78)(36, 79)(37, 83)(38, 102)(39, 95)(40, 109)(41, 94)(42, 110)(43, 111)(44, 112)(45, 108)(46, 91)(47, 92)(48, 93)(49, 96)(50, 113)(51, 107)(52, 114)(53, 106)(54, 115)(55, 116)(56, 103)(57, 104)(58, 105)
	local type(s) :: { ( 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1212
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 58 f = 3
	degree seq :: [ 116 ]

E28.1229 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {29, 58, 58})
Quotient :: loop
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1), (F * T2)^2, (F * T1)^2, T2^3 * T1^-1 * T2^3, (T1^-5 * T2)^2, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 59, 3, 61, 9, 67, 19, 77, 18, 76, 8, 66, 2, 60, 7, 65, 17, 75, 31, 89, 30, 88, 16, 74, 6, 64, 15, 73, 29, 87, 43, 101, 42, 100, 28, 86, 14, 72, 27, 85, 41, 99, 55, 113, 54, 112, 40, 98, 26, 84, 39, 97, 53, 111, 56, 114, 46, 104, 52, 110, 38, 96, 51, 109, 57, 115, 47, 105, 34, 92, 45, 103, 50, 108, 58, 116, 48, 106, 35, 93, 22, 80, 33, 91, 44, 102, 49, 107, 36, 94, 23, 81, 11, 69, 21, 79, 32, 90, 37, 95, 24, 82, 12, 70, 4, 62, 10, 68, 20, 78, 25, 83, 13, 71, 5, 63)
	L = (1, 60)(2, 64)(3, 65)(4, 59)(5, 66)(6, 72)(7, 73)(8, 74)(9, 75)(10, 61)(11, 62)(12, 63)(13, 76)(14, 84)(15, 85)(16, 86)(17, 87)(18, 88)(19, 89)(20, 67)(21, 68)(22, 69)(23, 70)(24, 71)(25, 77)(26, 96)(27, 97)(28, 98)(29, 99)(30, 100)(31, 101)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 108)(39, 109)(40, 110)(41, 111)(42, 112)(43, 113)(44, 90)(45, 91)(46, 92)(47, 93)(48, 94)(49, 95)(50, 102)(51, 116)(52, 103)(53, 115)(54, 104)(55, 114)(56, 105)(57, 106)(58, 107)
	local type(s) :: { ( 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1207
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 58 f = 3
	degree seq :: [ 116 ]

E28.1230 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {29, 58, 58})
Quotient :: loop
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2, T1), (F * T1)^2, T2^-4 * T1^-1 * T2^-2, T1^-9 * T2^-1 * T1^-1 * T2^-1, T1^4 * T2^-1 * T1^4 * T2^-3 * T1, (T1^-1 * T2^-1)^58 ]
Map:: non-degenerate
	R = (1, 59, 3, 61, 9, 67, 19, 77, 24, 82, 12, 70, 4, 62, 10, 68, 20, 78, 32, 90, 37, 95, 23, 81, 11, 69, 21, 79, 33, 91, 44, 102, 49, 107, 36, 94, 22, 80, 34, 92, 45, 103, 56, 114, 50, 108, 48, 106, 35, 93, 46, 104, 57, 115, 52, 110, 38, 96, 51, 109, 47, 105, 58, 116, 54, 112, 40, 98, 26, 84, 39, 97, 53, 111, 55, 113, 42, 100, 28, 86, 14, 72, 27, 85, 41, 99, 43, 101, 30, 88, 16, 74, 6, 64, 15, 73, 29, 87, 31, 89, 18, 76, 8, 66, 2, 60, 7, 65, 17, 75, 25, 83, 13, 71, 5, 63)
	L = (1, 60)(2, 64)(3, 65)(4, 59)(5, 66)(6, 72)(7, 73)(8, 74)(9, 75)(10, 61)(11, 62)(12, 63)(13, 76)(14, 84)(15, 85)(16, 86)(17, 87)(18, 88)(19, 83)(20, 67)(21, 68)(22, 69)(23, 70)(24, 71)(25, 89)(26, 96)(27, 97)(28, 98)(29, 99)(30, 100)(31, 101)(32, 77)(33, 78)(34, 79)(35, 80)(36, 81)(37, 82)(38, 108)(39, 109)(40, 110)(41, 111)(42, 112)(43, 113)(44, 90)(45, 91)(46, 92)(47, 93)(48, 94)(49, 95)(50, 107)(51, 106)(52, 114)(53, 105)(54, 115)(55, 116)(56, 102)(57, 103)(58, 104)
	local type(s) :: { ( 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1210
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 58 f = 3
	degree seq :: [ 116 ]

E28.1231 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {29, 58, 58})
Quotient :: loop
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2^-1, T1^-1), (F * T1)^2, T2 * T1 * T2^3, T1^5 * T2^-1 * T1 * T2^-1 * T1^8, (T2^2 * T1^-1)^29 ]
Map:: non-degenerate
	R = (1, 59, 3, 61, 9, 67, 12, 70, 4, 62, 10, 68, 18, 76, 21, 79, 11, 69, 19, 77, 26, 84, 29, 87, 20, 78, 27, 85, 34, 92, 37, 95, 28, 86, 35, 93, 42, 100, 45, 103, 36, 94, 43, 101, 50, 108, 53, 111, 44, 102, 51, 109, 54, 112, 58, 116, 52, 110, 56, 114, 46, 104, 55, 113, 57, 115, 48, 106, 38, 96, 47, 105, 49, 107, 40, 98, 30, 88, 39, 97, 41, 99, 32, 90, 22, 80, 31, 89, 33, 91, 24, 82, 14, 72, 23, 81, 25, 83, 16, 74, 6, 64, 15, 73, 17, 75, 8, 66, 2, 60, 7, 65, 13, 71, 5, 63)
	L = (1, 60)(2, 64)(3, 65)(4, 59)(5, 66)(6, 72)(7, 73)(8, 74)(9, 71)(10, 61)(11, 62)(12, 63)(13, 75)(14, 80)(15, 81)(16, 82)(17, 83)(18, 67)(19, 68)(20, 69)(21, 70)(22, 88)(23, 89)(24, 90)(25, 91)(26, 76)(27, 77)(28, 78)(29, 79)(30, 96)(31, 97)(32, 98)(33, 99)(34, 84)(35, 85)(36, 86)(37, 87)(38, 104)(39, 105)(40, 106)(41, 107)(42, 92)(43, 93)(44, 94)(45, 95)(46, 112)(47, 113)(48, 114)(49, 115)(50, 100)(51, 101)(52, 102)(53, 103)(54, 108)(55, 116)(56, 109)(57, 110)(58, 111)
	local type(s) :: { ( 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1205
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 58 f = 3
	degree seq :: [ 116 ]

E28.1232 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {29, 58, 58})
Quotient :: loop
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2, T1), (F * T1)^2, T2^4 * T1^-1, T1 * T2 * T1^13 * T2, (T1^-1 * T2^-1)^58 ]
Map:: non-degenerate
	R = (1, 59, 3, 61, 9, 67, 8, 66, 2, 60, 7, 65, 17, 75, 16, 74, 6, 64, 15, 73, 25, 83, 24, 82, 14, 72, 23, 81, 33, 91, 32, 90, 22, 80, 31, 89, 41, 99, 40, 98, 30, 88, 39, 97, 49, 107, 48, 106, 38, 96, 47, 105, 57, 115, 56, 114, 46, 104, 55, 113, 51, 109, 58, 116, 54, 112, 52, 110, 43, 101, 50, 108, 53, 111, 44, 102, 35, 93, 42, 100, 45, 103, 36, 94, 27, 85, 34, 92, 37, 95, 28, 86, 19, 77, 26, 84, 29, 87, 20, 78, 11, 69, 18, 76, 21, 79, 12, 70, 4, 62, 10, 68, 13, 71, 5, 63)
	L = (1, 60)(2, 64)(3, 65)(4, 59)(5, 66)(6, 72)(7, 73)(8, 74)(9, 75)(10, 61)(11, 62)(12, 63)(13, 67)(14, 80)(15, 81)(16, 82)(17, 83)(18, 68)(19, 69)(20, 70)(21, 71)(22, 88)(23, 89)(24, 90)(25, 91)(26, 76)(27, 77)(28, 78)(29, 79)(30, 96)(31, 97)(32, 98)(33, 99)(34, 84)(35, 85)(36, 86)(37, 87)(38, 104)(39, 105)(40, 106)(41, 107)(42, 92)(43, 93)(44, 94)(45, 95)(46, 112)(47, 113)(48, 114)(49, 115)(50, 100)(51, 101)(52, 102)(53, 103)(54, 111)(55, 110)(56, 116)(57, 109)(58, 108)
	local type(s) :: { ( 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1208
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 58 f = 3
	degree seq :: [ 116 ]

E28.1233 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {29, 58, 58})
Quotient :: loop
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T1^-1, T2^-1), (F * T1)^2, T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-3, T1^-4 * T2^-6, T1^4 * T2^-1 * T1^3 * T2^-3, T1^29 ]
Map:: non-degenerate
	R = (1, 59, 3, 61, 9, 67, 19, 77, 33, 91, 51, 109, 37, 95, 55, 113, 46, 104, 28, 86, 14, 72, 27, 85, 45, 103, 40, 98, 24, 82, 12, 70, 4, 62, 10, 68, 20, 78, 34, 92, 52, 110, 58, 116, 56, 114, 48, 106, 30, 88, 16, 74, 6, 64, 15, 73, 29, 87, 47, 105, 39, 97, 23, 81, 11, 69, 21, 79, 35, 93, 53, 111, 42, 100, 57, 115, 50, 108, 32, 90, 18, 76, 8, 66, 2, 60, 7, 65, 17, 75, 31, 89, 49, 107, 38, 96, 22, 80, 36, 94, 54, 112, 44, 102, 26, 84, 43, 101, 41, 99, 25, 83, 13, 71, 5, 63)
	L = (1, 60)(2, 64)(3, 65)(4, 59)(5, 66)(6, 72)(7, 73)(8, 74)(9, 75)(10, 61)(11, 62)(12, 63)(13, 76)(14, 84)(15, 85)(16, 86)(17, 87)(18, 88)(19, 89)(20, 67)(21, 68)(22, 69)(23, 70)(24, 71)(25, 90)(26, 100)(27, 101)(28, 102)(29, 103)(30, 104)(31, 105)(32, 106)(33, 107)(34, 77)(35, 78)(36, 79)(37, 80)(38, 81)(39, 82)(40, 83)(41, 108)(42, 110)(43, 115)(44, 111)(45, 99)(46, 112)(47, 98)(48, 113)(49, 97)(50, 114)(51, 96)(52, 91)(53, 92)(54, 93)(55, 94)(56, 95)(57, 116)(58, 109)
	local type(s) :: { ( 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1203
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 58 f = 3
	degree seq :: [ 116 ]

E28.1234 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {29, 58, 58})
Quotient :: loop
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T2)^2, (F * T1)^2, T2^6 * T1^-4, T2^4 * T1^7 ]
Map:: non-degenerate
	R = (1, 59, 3, 61, 9, 67, 19, 77, 33, 91, 44, 102, 26, 84, 43, 101, 54, 112, 38, 96, 22, 80, 36, 94, 50, 108, 32, 90, 18, 76, 8, 66, 2, 60, 7, 65, 17, 75, 31, 89, 49, 107, 57, 115, 42, 100, 55, 113, 39, 97, 23, 81, 11, 69, 21, 79, 35, 93, 48, 106, 30, 88, 16, 74, 6, 64, 15, 73, 29, 87, 47, 105, 52, 110, 58, 116, 56, 114, 40, 98, 24, 82, 12, 70, 4, 62, 10, 68, 20, 78, 34, 92, 46, 104, 28, 86, 14, 72, 27, 85, 45, 103, 53, 111, 37, 95, 51, 109, 41, 99, 25, 83, 13, 71, 5, 63)
	L = (1, 60)(2, 64)(3, 65)(4, 59)(5, 66)(6, 72)(7, 73)(8, 74)(9, 75)(10, 61)(11, 62)(12, 63)(13, 76)(14, 84)(15, 85)(16, 86)(17, 87)(18, 88)(19, 89)(20, 67)(21, 68)(22, 69)(23, 70)(24, 71)(25, 90)(26, 100)(27, 101)(28, 102)(29, 103)(30, 104)(31, 105)(32, 106)(33, 107)(34, 77)(35, 78)(36, 79)(37, 80)(38, 81)(39, 82)(40, 83)(41, 108)(42, 114)(43, 113)(44, 115)(45, 112)(46, 91)(47, 111)(48, 92)(49, 110)(50, 93)(51, 94)(52, 95)(53, 96)(54, 97)(55, 98)(56, 99)(57, 116)(58, 109)
	local type(s) :: { ( 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1206
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 58 f = 3
	degree seq :: [ 116 ]

E28.1235 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {29, 58, 58})
Quotient :: loop
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T2)^2, (F * T1)^2, T1^6 * T2^2 * T1, T2^3 * T1^-1 * T2^5, T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^4 ]
Map:: non-degenerate
	R = (1, 59, 3, 61, 9, 67, 19, 77, 33, 91, 32, 90, 18, 76, 8, 66, 2, 60, 7, 65, 17, 75, 31, 89, 46, 104, 45, 103, 30, 88, 16, 74, 6, 64, 15, 73, 29, 87, 44, 102, 54, 112, 53, 111, 43, 101, 28, 86, 14, 72, 27, 85, 37, 95, 49, 107, 56, 114, 58, 116, 52, 110, 42, 100, 26, 84, 38, 96, 22, 80, 36, 94, 48, 106, 55, 113, 57, 115, 50, 108, 39, 97, 23, 81, 11, 69, 21, 79, 35, 93, 47, 105, 51, 109, 40, 98, 24, 82, 12, 70, 4, 62, 10, 68, 20, 78, 34, 92, 41, 99, 25, 83, 13, 71, 5, 63)
	L = (1, 60)(2, 64)(3, 65)(4, 59)(5, 66)(6, 72)(7, 73)(8, 74)(9, 75)(10, 61)(11, 62)(12, 63)(13, 76)(14, 84)(15, 85)(16, 86)(17, 87)(18, 88)(19, 89)(20, 67)(21, 68)(22, 69)(23, 70)(24, 71)(25, 90)(26, 97)(27, 96)(28, 100)(29, 95)(30, 101)(31, 102)(32, 103)(33, 104)(34, 77)(35, 78)(36, 79)(37, 80)(38, 81)(39, 82)(40, 83)(41, 91)(42, 108)(43, 110)(44, 107)(45, 111)(46, 112)(47, 92)(48, 93)(49, 94)(50, 98)(51, 99)(52, 115)(53, 116)(54, 114)(55, 105)(56, 106)(57, 109)(58, 113)
	local type(s) :: { ( 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1201
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 58 f = 3
	degree seq :: [ 116 ]

E28.1236 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {29, 58, 58})
Quotient :: loop
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^-1 * T1 * T2^-1 * T1^6, T2^6 * T1 * T2^2, (T1^-1 * T2^-1)^58 ]
Map:: non-degenerate
	R = (1, 59, 3, 61, 9, 67, 19, 77, 33, 91, 40, 98, 24, 82, 12, 70, 4, 62, 10, 68, 20, 78, 34, 92, 47, 105, 51, 109, 39, 97, 23, 81, 11, 69, 21, 79, 35, 93, 48, 106, 55, 113, 57, 115, 50, 108, 38, 96, 22, 80, 36, 94, 26, 84, 42, 100, 52, 110, 58, 116, 56, 114, 49, 107, 37, 95, 28, 86, 14, 72, 27, 85, 43, 101, 53, 111, 54, 112, 45, 103, 30, 88, 16, 74, 6, 64, 15, 73, 29, 87, 44, 102, 46, 104, 32, 90, 18, 76, 8, 66, 2, 60, 7, 65, 17, 75, 31, 89, 41, 99, 25, 83, 13, 71, 5, 63)
	L = (1, 60)(2, 64)(3, 65)(4, 59)(5, 66)(6, 72)(7, 73)(8, 74)(9, 75)(10, 61)(11, 62)(12, 63)(13, 76)(14, 84)(15, 85)(16, 86)(17, 87)(18, 88)(19, 89)(20, 67)(21, 68)(22, 69)(23, 70)(24, 71)(25, 90)(26, 93)(27, 100)(28, 94)(29, 101)(30, 95)(31, 102)(32, 103)(33, 99)(34, 77)(35, 78)(36, 79)(37, 80)(38, 81)(39, 82)(40, 83)(41, 104)(42, 106)(43, 110)(44, 111)(45, 107)(46, 112)(47, 91)(48, 92)(49, 96)(50, 97)(51, 98)(52, 113)(53, 116)(54, 114)(55, 105)(56, 108)(57, 109)(58, 115)
	local type(s) :: { ( 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1204
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 58 f = 3
	degree seq :: [ 116 ]

E28.1237 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {29, 58, 58})
Quotient :: loop
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^3 * T2^2, T2^18 * T1^-2, T1^2 * T2^-18, T2^-1 * T1 * T2^-17 * T1 ]
Map:: non-degenerate
	R = (1, 59, 3, 61, 9, 67, 16, 74, 22, 80, 28, 86, 34, 92, 40, 98, 46, 104, 52, 110, 56, 114, 50, 108, 44, 102, 38, 96, 32, 90, 26, 84, 20, 78, 14, 72, 6, 64, 12, 70, 4, 62, 10, 68, 17, 75, 23, 81, 29, 87, 35, 93, 41, 99, 47, 105, 53, 111, 57, 115, 51, 109, 45, 103, 39, 97, 33, 91, 27, 85, 21, 79, 15, 73, 8, 66, 2, 60, 7, 65, 11, 69, 18, 76, 24, 82, 30, 88, 36, 94, 42, 100, 48, 106, 54, 112, 58, 116, 55, 113, 49, 107, 43, 101, 37, 95, 31, 89, 25, 83, 19, 77, 13, 71, 5, 63)
	L = (1, 60)(2, 64)(3, 65)(4, 59)(5, 66)(6, 71)(7, 70)(8, 72)(9, 69)(10, 61)(11, 62)(12, 63)(13, 73)(14, 77)(15, 78)(16, 76)(17, 67)(18, 68)(19, 79)(20, 83)(21, 84)(22, 82)(23, 74)(24, 75)(25, 85)(26, 89)(27, 90)(28, 88)(29, 80)(30, 81)(31, 91)(32, 95)(33, 96)(34, 94)(35, 86)(36, 87)(37, 97)(38, 101)(39, 102)(40, 100)(41, 92)(42, 93)(43, 103)(44, 107)(45, 108)(46, 106)(47, 98)(48, 99)(49, 109)(50, 113)(51, 114)(52, 112)(53, 104)(54, 105)(55, 115)(56, 116)(57, 110)(58, 111)
	local type(s) :: { ( 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1199
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 58 f = 3
	degree seq :: [ 116 ]

E28.1238 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {29, 58, 58})
Quotient :: loop
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T1 * T2^-1 * T1 * T2^-1 * T1, T1 * T2 * T1 * T2^17, (T1^-1 * T2^-1)^58 ]
Map:: non-degenerate
	R = (1, 59, 3, 61, 9, 67, 16, 74, 22, 80, 28, 86, 34, 92, 40, 98, 46, 104, 52, 110, 58, 116, 53, 111, 47, 105, 41, 99, 35, 93, 29, 87, 23, 81, 17, 75, 11, 69, 8, 66, 2, 60, 7, 65, 15, 73, 21, 79, 27, 85, 33, 91, 39, 97, 45, 103, 51, 109, 57, 115, 54, 112, 48, 106, 42, 100, 36, 94, 30, 88, 24, 82, 18, 76, 12, 70, 4, 62, 10, 68, 6, 64, 14, 72, 20, 78, 26, 84, 32, 90, 38, 96, 44, 102, 50, 108, 56, 114, 55, 113, 49, 107, 43, 101, 37, 95, 31, 89, 25, 83, 19, 77, 13, 71, 5, 63)
	L = (1, 60)(2, 64)(3, 65)(4, 59)(5, 66)(6, 67)(7, 72)(8, 68)(9, 73)(10, 61)(11, 62)(12, 63)(13, 69)(14, 74)(15, 78)(16, 79)(17, 70)(18, 71)(19, 75)(20, 80)(21, 84)(22, 85)(23, 76)(24, 77)(25, 81)(26, 86)(27, 90)(28, 91)(29, 82)(30, 83)(31, 87)(32, 92)(33, 96)(34, 97)(35, 88)(36, 89)(37, 93)(38, 98)(39, 102)(40, 103)(41, 94)(42, 95)(43, 99)(44, 104)(45, 108)(46, 109)(47, 100)(48, 101)(49, 105)(50, 110)(51, 114)(52, 115)(53, 106)(54, 107)(55, 111)(56, 116)(57, 113)(58, 112)
	local type(s) :: { ( 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1202
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 58 f = 3
	degree seq :: [ 116 ]

E28.1239 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {29, 58, 58})
Quotient :: loop
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, T1^-1 * T2^2, (F * T1)^2, (F * T2)^2, T1^29, (T2^-1 * T1^-1)^58 ]
Map:: non-degenerate
	R = (1, 59, 3, 61, 2, 60, 7, 65, 6, 64, 11, 69, 10, 68, 15, 73, 14, 72, 19, 77, 18, 76, 23, 81, 22, 80, 27, 85, 26, 84, 37, 95, 38, 96, 33, 91, 34, 92, 30, 88, 32, 90, 31, 89, 36, 94, 35, 93, 40, 98, 39, 97, 42, 100, 41, 99, 44, 102, 43, 101, 46, 104, 45, 103, 48, 106, 47, 105, 56, 114, 57, 115, 52, 110, 53, 111, 49, 107, 51, 109, 50, 108, 55, 113, 54, 112, 58, 116, 28, 86, 29, 87, 24, 82, 25, 83, 20, 78, 21, 79, 16, 74, 17, 75, 12, 70, 13, 71, 8, 66, 9, 67, 4, 62, 5, 63)
	L = (1, 60)(2, 64)(3, 65)(4, 59)(5, 61)(6, 68)(7, 69)(8, 62)(9, 63)(10, 72)(11, 73)(12, 66)(13, 67)(14, 76)(15, 77)(16, 70)(17, 71)(18, 80)(19, 81)(20, 74)(21, 75)(22, 84)(23, 85)(24, 78)(25, 79)(26, 96)(27, 95)(28, 82)(29, 83)(30, 89)(31, 93)(32, 94)(33, 88)(34, 90)(35, 97)(36, 98)(37, 91)(38, 92)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 115)(48, 114)(49, 108)(50, 112)(51, 113)(52, 107)(53, 109)(54, 86)(55, 116)(56, 110)(57, 111)(58, 87)
	local type(s) :: { ( 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1197
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 58 f = 3
	degree seq :: [ 116 ]

E28.1240 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {29, 58, 58})
Quotient :: loop
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, T1 * T2^2, (F * T2)^2, (F * T1)^2, T1^29 ]
Map:: non-degenerate
	R = (1, 59, 3, 61, 4, 62, 8, 66, 9, 67, 12, 70, 13, 71, 16, 74, 17, 75, 20, 78, 21, 79, 24, 82, 25, 83, 28, 86, 29, 87, 49, 107, 55, 113, 56, 114, 51, 109, 54, 112, 50, 108, 52, 110, 53, 111, 57, 115, 58, 116, 47, 105, 48, 106, 45, 103, 46, 104, 43, 101, 44, 102, 41, 99, 42, 100, 39, 97, 40, 98, 35, 93, 36, 94, 31, 89, 34, 92, 30, 88, 32, 90, 33, 91, 37, 95, 38, 96, 26, 84, 27, 85, 22, 80, 23, 81, 18, 76, 19, 77, 14, 72, 15, 73, 10, 68, 11, 69, 6, 64, 7, 65, 2, 60, 5, 63)
	L = (1, 60)(2, 64)(3, 63)(4, 59)(5, 65)(6, 68)(7, 69)(8, 61)(9, 62)(10, 72)(11, 73)(12, 66)(13, 67)(14, 76)(15, 77)(16, 70)(17, 71)(18, 80)(19, 81)(20, 74)(21, 75)(22, 84)(23, 85)(24, 78)(25, 79)(26, 95)(27, 96)(28, 82)(29, 83)(30, 89)(31, 93)(32, 92)(33, 88)(34, 94)(35, 97)(36, 98)(37, 90)(38, 91)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 115)(48, 116)(49, 86)(50, 109)(51, 113)(52, 112)(53, 108)(54, 114)(55, 87)(56, 107)(57, 110)(58, 111)
	local type(s) :: { ( 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1200
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 58 f = 3
	degree seq :: [ 116 ]

E28.1241 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {29, 58, 58})
Quotient :: loop
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^-2 * T1^5, T2^11 * T1^-1 * T2, T1^-1 * T2^-1 * T1^-1 * T2^-3 * T1^-1 * T2^-6 * T1^-1, (T1^-1 * T2^-1)^58 ]
Map:: non-degenerate
	R = (1, 59, 3, 61, 9, 67, 19, 77, 30, 88, 40, 98, 50, 108, 49, 107, 39, 97, 29, 87, 18, 76, 8, 66, 2, 60, 7, 65, 17, 75, 28, 86, 38, 96, 48, 106, 58, 116, 52, 110, 42, 100, 32, 90, 22, 80, 16, 74, 6, 64, 15, 73, 27, 85, 37, 95, 47, 105, 57, 115, 53, 111, 43, 101, 33, 91, 23, 81, 11, 69, 21, 79, 14, 72, 26, 84, 36, 94, 46, 104, 56, 114, 54, 112, 44, 102, 34, 92, 24, 82, 12, 70, 4, 62, 10, 68, 20, 78, 31, 89, 41, 99, 51, 109, 55, 113, 45, 103, 35, 93, 25, 83, 13, 71, 5, 63)
	L = (1, 60)(2, 64)(3, 65)(4, 59)(5, 66)(6, 72)(7, 73)(8, 74)(9, 75)(10, 61)(11, 62)(12, 63)(13, 76)(14, 78)(15, 84)(16, 79)(17, 85)(18, 80)(19, 86)(20, 67)(21, 68)(22, 69)(23, 70)(24, 71)(25, 87)(26, 89)(27, 94)(28, 95)(29, 90)(30, 96)(31, 77)(32, 81)(33, 82)(34, 83)(35, 97)(36, 99)(37, 104)(38, 105)(39, 100)(40, 106)(41, 88)(42, 91)(43, 92)(44, 93)(45, 107)(46, 109)(47, 114)(48, 115)(49, 110)(50, 116)(51, 98)(52, 101)(53, 102)(54, 103)(55, 108)(56, 113)(57, 112)(58, 111)
	local type(s) :: { ( 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1195
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 58 f = 3
	degree seq :: [ 116 ]

E28.1242 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {29, 58, 58})
Quotient :: loop
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T2)^2, (F * T1)^2, T1^3 * T2 * T1 * T2 * T1, T2 * T1 * T2^11, T2^5 * T1^-1 * T2^5 * T1^-3, T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-3 * T1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 59, 3, 61, 9, 67, 19, 77, 30, 88, 40, 98, 50, 108, 54, 112, 44, 102, 34, 92, 24, 82, 12, 70, 4, 62, 10, 68, 20, 78, 31, 89, 41, 99, 51, 109, 56, 114, 46, 104, 36, 94, 26, 84, 14, 72, 23, 81, 11, 69, 21, 79, 32, 90, 42, 100, 52, 110, 57, 115, 47, 105, 37, 95, 27, 85, 16, 74, 6, 64, 15, 73, 22, 80, 33, 91, 43, 101, 53, 111, 58, 116, 49, 107, 39, 97, 29, 87, 18, 76, 8, 66, 2, 60, 7, 65, 17, 75, 28, 86, 38, 96, 48, 106, 55, 113, 45, 103, 35, 93, 25, 83, 13, 71, 5, 63)
	L = (1, 60)(2, 64)(3, 65)(4, 59)(5, 66)(6, 72)(7, 73)(8, 74)(9, 75)(10, 61)(11, 62)(12, 63)(13, 76)(14, 82)(15, 81)(16, 84)(17, 80)(18, 85)(19, 86)(20, 67)(21, 68)(22, 69)(23, 70)(24, 71)(25, 87)(26, 92)(27, 94)(28, 91)(29, 95)(30, 96)(31, 77)(32, 78)(33, 79)(34, 83)(35, 97)(36, 102)(37, 104)(38, 101)(39, 105)(40, 106)(41, 88)(42, 89)(43, 90)(44, 93)(45, 107)(46, 112)(47, 114)(48, 111)(49, 115)(50, 113)(51, 98)(52, 99)(53, 100)(54, 103)(55, 116)(56, 108)(57, 109)(58, 110)
	local type(s) :: { ( 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1198
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 58 f = 3
	degree seq :: [ 116 ]

E28.1243 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {29, 58, 58})
Quotient :: loop
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2^-1), (T2, T1), (F * T2)^2, (F * T1)^2, T1 * T2 * T1 * T2^5, T1^7 * T2^-1 * T1 * T2^-1 * T1, T2^3 * T1^-2 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-2 * T2^2 ]
Map:: non-degenerate
	R = (1, 59, 3, 61, 9, 67, 19, 77, 33, 91, 23, 81, 11, 69, 21, 79, 35, 93, 46, 104, 54, 112, 50, 108, 37, 95, 48, 106, 39, 97, 51, 109, 57, 115, 53, 111, 43, 101, 28, 86, 14, 72, 27, 85, 42, 100, 32, 90, 18, 76, 8, 66, 2, 60, 7, 65, 17, 75, 31, 89, 24, 82, 12, 70, 4, 62, 10, 68, 20, 78, 34, 92, 45, 103, 38, 96, 22, 80, 36, 94, 47, 105, 55, 113, 58, 116, 56, 114, 49, 107, 41, 99, 26, 84, 40, 98, 52, 110, 44, 102, 30, 88, 16, 74, 6, 64, 15, 73, 29, 87, 25, 83, 13, 71, 5, 63)
	L = (1, 60)(2, 64)(3, 65)(4, 59)(5, 66)(6, 72)(7, 73)(8, 74)(9, 75)(10, 61)(11, 62)(12, 63)(13, 76)(14, 84)(15, 85)(16, 86)(17, 87)(18, 88)(19, 89)(20, 67)(21, 68)(22, 69)(23, 70)(24, 71)(25, 90)(26, 97)(27, 98)(28, 99)(29, 100)(30, 101)(31, 83)(32, 102)(33, 82)(34, 77)(35, 78)(36, 79)(37, 80)(38, 81)(39, 105)(40, 109)(41, 106)(42, 110)(43, 107)(44, 111)(45, 91)(46, 92)(47, 93)(48, 94)(49, 95)(50, 96)(51, 113)(52, 115)(53, 114)(54, 103)(55, 104)(56, 108)(57, 116)(58, 112)
	local type(s) :: { ( 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1193
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 58 f = 3
	degree seq :: [ 116 ]

E28.1244 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {29, 58, 58})
Quotient :: loop
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1), (F * T2)^2, (F * T1)^2, T2^2 * T1^-1 * T2^4 * T1^-1, T1^5 * T2 * T1 * T2 * T1^3, (T1^-1 * T2^-1)^58 ]
Map:: non-degenerate
	R = (1, 59, 3, 61, 9, 67, 19, 77, 30, 88, 16, 74, 6, 64, 15, 73, 29, 87, 44, 102, 52, 110, 41, 99, 26, 84, 40, 98, 47, 105, 55, 113, 58, 116, 56, 114, 49, 107, 36, 94, 22, 80, 34, 92, 45, 103, 38, 96, 24, 82, 12, 70, 4, 62, 10, 68, 20, 78, 32, 90, 18, 76, 8, 66, 2, 60, 7, 65, 17, 75, 31, 89, 43, 101, 28, 86, 14, 72, 27, 85, 42, 100, 53, 111, 57, 115, 51, 109, 39, 97, 48, 106, 35, 93, 46, 104, 54, 112, 50, 108, 37, 95, 23, 81, 11, 69, 21, 79, 33, 91, 25, 83, 13, 71, 5, 63)
	L = (1, 60)(2, 64)(3, 65)(4, 59)(5, 66)(6, 72)(7, 73)(8, 74)(9, 75)(10, 61)(11, 62)(12, 63)(13, 76)(14, 84)(15, 85)(16, 86)(17, 87)(18, 88)(19, 89)(20, 67)(21, 68)(22, 69)(23, 70)(24, 71)(25, 90)(26, 97)(27, 98)(28, 99)(29, 100)(30, 101)(31, 102)(32, 77)(33, 78)(34, 79)(35, 80)(36, 81)(37, 82)(38, 83)(39, 107)(40, 106)(41, 109)(42, 105)(43, 110)(44, 111)(45, 91)(46, 92)(47, 93)(48, 94)(49, 95)(50, 96)(51, 114)(52, 115)(53, 113)(54, 103)(55, 104)(56, 108)(57, 116)(58, 112)
	local type(s) :: { ( 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1196
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 58 f = 3
	degree seq :: [ 116 ]

E28.1245 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {29, 58, 58})
Quotient :: loop
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2^-1), (F * T2)^2, (T1^-1, T2), (F * T1)^2, T1^-3 * T2^-4, T1^-13 * T2^2 ]
Map:: non-degenerate
	R = (1, 59, 3, 61, 9, 67, 19, 77, 22, 80, 32, 90, 39, 97, 46, 104, 49, 107, 56, 114, 50, 108, 53, 111, 44, 102, 35, 93, 26, 84, 29, 87, 18, 76, 8, 66, 2, 60, 7, 65, 17, 75, 23, 81, 11, 69, 21, 79, 31, 89, 38, 96, 41, 99, 48, 106, 55, 113, 58, 116, 52, 110, 43, 101, 34, 92, 37, 95, 28, 86, 16, 74, 6, 64, 15, 73, 24, 82, 12, 70, 4, 62, 10, 68, 20, 78, 30, 88, 33, 91, 40, 98, 47, 105, 54, 112, 57, 115, 51, 109, 42, 100, 45, 103, 36, 94, 27, 85, 14, 72, 25, 83, 13, 71, 5, 63)
	L = (1, 60)(2, 64)(3, 65)(4, 59)(5, 66)(6, 72)(7, 73)(8, 74)(9, 75)(10, 61)(11, 62)(12, 63)(13, 76)(14, 84)(15, 83)(16, 85)(17, 82)(18, 86)(19, 81)(20, 67)(21, 68)(22, 69)(23, 70)(24, 71)(25, 87)(26, 92)(27, 93)(28, 94)(29, 95)(30, 77)(31, 78)(32, 79)(33, 80)(34, 100)(35, 101)(36, 102)(37, 103)(38, 88)(39, 89)(40, 90)(41, 91)(42, 108)(43, 109)(44, 110)(45, 111)(46, 96)(47, 97)(48, 98)(49, 99)(50, 113)(51, 114)(52, 115)(53, 116)(54, 104)(55, 105)(56, 106)(57, 107)(58, 112)
	local type(s) :: { ( 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1191
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 58 f = 3
	degree seq :: [ 116 ]

E28.1246 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {29, 58, 58})
Quotient :: loop
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2), (F * T2)^2, (T1^-1, T2^-1), (F * T1)^2, T2^-1 * T1 * T2^-1 * T1^2 * T2^-2, T1^4 * T2 * T1^2 * T2 * T1^7, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 59, 3, 61, 9, 67, 19, 77, 14, 72, 27, 85, 36, 94, 45, 103, 42, 100, 51, 109, 54, 112, 57, 115, 48, 106, 39, 97, 30, 88, 33, 91, 24, 82, 12, 70, 4, 62, 10, 68, 20, 78, 16, 74, 6, 64, 15, 73, 28, 86, 37, 95, 34, 92, 43, 101, 52, 110, 58, 116, 56, 114, 47, 105, 38, 96, 41, 99, 32, 90, 23, 81, 11, 69, 21, 79, 18, 76, 8, 66, 2, 60, 7, 65, 17, 75, 29, 87, 26, 84, 35, 93, 44, 102, 53, 111, 50, 108, 55, 113, 46, 104, 49, 107, 40, 98, 31, 89, 22, 80, 25, 83, 13, 71, 5, 63)
	L = (1, 60)(2, 64)(3, 65)(4, 59)(5, 66)(6, 72)(7, 73)(8, 74)(9, 75)(10, 61)(11, 62)(12, 63)(13, 76)(14, 84)(15, 85)(16, 77)(17, 86)(18, 78)(19, 87)(20, 67)(21, 68)(22, 69)(23, 70)(24, 71)(25, 79)(26, 92)(27, 93)(28, 94)(29, 95)(30, 80)(31, 81)(32, 82)(33, 83)(34, 100)(35, 101)(36, 102)(37, 103)(38, 88)(39, 89)(40, 90)(41, 91)(42, 108)(43, 109)(44, 110)(45, 111)(46, 96)(47, 97)(48, 98)(49, 99)(50, 114)(51, 113)(52, 112)(53, 116)(54, 104)(55, 105)(56, 106)(57, 107)(58, 115)
	local type(s) :: { ( 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1194
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 58 f = 3
	degree seq :: [ 116 ]

E28.1247 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {29, 58, 58})
Quotient :: loop
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2^-1), (F * T2)^2, (F * T1)^2, T1^2 * T2^-1 * T1 * T2^-3 * T1^2, T2^-4 * T1^-1 * T2^-6 * T1^-1, T1 * T2^-1 * T1 * T2^-3 * T1^-2 * T2^-2 * T1^-2 * T2^-4, T1^-2 * T2^48, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 59, 3, 61, 9, 67, 19, 77, 33, 91, 46, 104, 56, 114, 49, 107, 39, 97, 23, 81, 11, 69, 21, 79, 35, 93, 28, 86, 14, 72, 27, 85, 43, 101, 53, 111, 57, 115, 47, 105, 37, 95, 32, 90, 18, 76, 8, 66, 2, 60, 7, 65, 17, 75, 31, 89, 45, 103, 55, 113, 50, 108, 40, 98, 24, 82, 12, 70, 4, 62, 10, 68, 20, 78, 34, 92, 26, 84, 42, 100, 52, 110, 58, 116, 48, 106, 38, 96, 22, 80, 36, 94, 30, 88, 16, 74, 6, 64, 15, 73, 29, 87, 44, 102, 54, 112, 51, 109, 41, 99, 25, 83, 13, 71, 5, 63)
	L = (1, 60)(2, 64)(3, 65)(4, 59)(5, 66)(6, 72)(7, 73)(8, 74)(9, 75)(10, 61)(11, 62)(12, 63)(13, 76)(14, 84)(15, 85)(16, 86)(17, 87)(18, 88)(19, 89)(20, 67)(21, 68)(22, 69)(23, 70)(24, 71)(25, 90)(26, 91)(27, 100)(28, 92)(29, 101)(30, 93)(31, 102)(32, 94)(33, 103)(34, 77)(35, 78)(36, 79)(37, 80)(38, 81)(39, 82)(40, 83)(41, 95)(42, 104)(43, 110)(44, 111)(45, 112)(46, 113)(47, 96)(48, 97)(49, 98)(50, 99)(51, 105)(52, 114)(53, 116)(54, 115)(55, 109)(56, 108)(57, 106)(58, 107)
	local type(s) :: { ( 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1189
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 58 f = 3
	degree seq :: [ 116 ]

E28.1248 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {29, 58, 58})
Quotient :: loop
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1), (F * T2)^2, (F * T1)^2, T1^4 * T2^4 * T1, T1^3 * T2 * T1 * T2^3 * T1, T2^3 * T1^-1 * T2^6 * T1^-1 * T2, T2 * T1^3 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^2 * T1^2 ]
Map:: non-degenerate
	R = (1, 59, 3, 61, 9, 67, 19, 77, 33, 91, 46, 104, 54, 112, 44, 102, 30, 88, 16, 74, 6, 64, 15, 73, 29, 87, 38, 96, 22, 80, 36, 94, 49, 107, 57, 115, 52, 110, 42, 100, 26, 84, 40, 98, 24, 82, 12, 70, 4, 62, 10, 68, 20, 78, 34, 92, 47, 105, 55, 113, 45, 103, 32, 90, 18, 76, 8, 66, 2, 60, 7, 65, 17, 75, 31, 89, 37, 95, 50, 108, 58, 116, 53, 111, 43, 101, 28, 86, 14, 72, 27, 85, 39, 97, 23, 81, 11, 69, 21, 79, 35, 93, 48, 106, 56, 114, 51, 109, 41, 99, 25, 83, 13, 71, 5, 63)
	L = (1, 60)(2, 64)(3, 65)(4, 59)(5, 66)(6, 72)(7, 73)(8, 74)(9, 75)(10, 61)(11, 62)(12, 63)(13, 76)(14, 84)(15, 85)(16, 86)(17, 87)(18, 88)(19, 89)(20, 67)(21, 68)(22, 69)(23, 70)(24, 71)(25, 90)(26, 99)(27, 98)(28, 100)(29, 97)(30, 101)(31, 96)(32, 102)(33, 95)(34, 77)(35, 78)(36, 79)(37, 80)(38, 81)(39, 82)(40, 83)(41, 103)(42, 109)(43, 110)(44, 111)(45, 112)(46, 108)(47, 91)(48, 92)(49, 93)(50, 94)(51, 113)(52, 114)(53, 115)(54, 116)(55, 104)(56, 105)(57, 106)(58, 107)
	local type(s) :: { ( 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1192
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 58 f = 3
	degree seq :: [ 116 ]

E28.1249 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {29, 58, 58})
Quotient :: loop
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (T2, T1), (F * T2)^2, (F * T1)^2, T1^-4 * T2^-1 * T1^-1 * T2^-1 * T1^-3, T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-1 * T1, T1^-5 * T2^6, T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^4 * T2^-2 ]
Map:: non-degenerate
	R = (1, 59, 3, 61, 9, 67, 19, 77, 33, 91, 51, 109, 42, 100, 38, 96, 22, 80, 36, 94, 54, 112, 48, 106, 30, 88, 16, 74, 6, 64, 15, 73, 29, 87, 47, 105, 57, 115, 40, 98, 24, 82, 12, 70, 4, 62, 10, 68, 20, 78, 34, 92, 52, 110, 44, 102, 26, 84, 43, 101, 37, 95, 55, 113, 50, 108, 32, 90, 18, 76, 8, 66, 2, 60, 7, 65, 17, 75, 31, 89, 49, 107, 56, 114, 39, 97, 23, 81, 11, 69, 21, 79, 35, 93, 53, 111, 46, 104, 28, 86, 14, 72, 27, 85, 45, 103, 58, 116, 41, 99, 25, 83, 13, 71, 5, 63)
	L = (1, 60)(2, 64)(3, 65)(4, 59)(5, 66)(6, 72)(7, 73)(8, 74)(9, 75)(10, 61)(11, 62)(12, 63)(13, 76)(14, 84)(15, 85)(16, 86)(17, 87)(18, 88)(19, 89)(20, 67)(21, 68)(22, 69)(23, 70)(24, 71)(25, 90)(26, 100)(27, 101)(28, 102)(29, 103)(30, 104)(31, 105)(32, 106)(33, 107)(34, 77)(35, 78)(36, 79)(37, 80)(38, 81)(39, 82)(40, 83)(41, 108)(42, 97)(43, 96)(44, 109)(45, 95)(46, 110)(47, 116)(48, 111)(49, 115)(50, 112)(51, 114)(52, 91)(53, 92)(54, 93)(55, 94)(56, 98)(57, 99)(58, 113)
	local type(s) :: { ( 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1187
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 58 f = 3
	degree seq :: [ 116 ]

E28.1250 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {29, 58, 58})
Quotient :: loop
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T2)^2, (F * T1)^2, T1^-1 * T2 * T1^-2 * T2 * T1^-5, T2^-2 * T1 * T2^-4 * T1 * T2^-2 * T1, T1^2 * T2 * T1 * T2 * T1 * T2^4 * T1, T1^-2 * T2^2 * T1^-2 * T2 * T1^3 * T2^-2 * T1 * T2^-1, T2^2 * T1^2 * T2^3 * T1^2 * T2^3 * T1^2 * T2^3 * T1^2 * T2^3 * T1^2 * T2^3 * T1^2 * T2^3 * T1^2 * T2^3 * T1^2 * T2^3 * T1^2 * T2^3 * T1^2 * T2^3 * T1^2 * T2^3 * T1^2 * T2^3 * T1^2 * T2^3 * T1^2 * T2^3 * T1^2 * T2^3 * T1^2 * T2^3 * T1^2 * T2^3 * T1^2 * T2^3 * T1 ]
Map:: non-degenerate
	R = (1, 59, 3, 61, 9, 67, 19, 77, 33, 91, 51, 109, 46, 104, 28, 86, 14, 72, 27, 85, 45, 103, 56, 114, 39, 97, 23, 81, 11, 69, 21, 79, 35, 93, 53, 111, 50, 108, 32, 90, 18, 76, 8, 66, 2, 60, 7, 65, 17, 75, 31, 89, 49, 107, 54, 112, 37, 95, 44, 102, 26, 84, 43, 101, 57, 115, 40, 98, 24, 82, 12, 70, 4, 62, 10, 68, 20, 78, 34, 92, 52, 110, 48, 106, 30, 88, 16, 74, 6, 64, 15, 73, 29, 87, 47, 105, 55, 113, 38, 96, 22, 80, 36, 94, 42, 100, 58, 116, 41, 99, 25, 83, 13, 71, 5, 63)
	L = (1, 60)(2, 64)(3, 65)(4, 59)(5, 66)(6, 72)(7, 73)(8, 74)(9, 75)(10, 61)(11, 62)(12, 63)(13, 76)(14, 84)(15, 85)(16, 86)(17, 87)(18, 88)(19, 89)(20, 67)(21, 68)(22, 69)(23, 70)(24, 71)(25, 90)(26, 100)(27, 101)(28, 102)(29, 103)(30, 104)(31, 105)(32, 106)(33, 107)(34, 77)(35, 78)(36, 79)(37, 80)(38, 81)(39, 82)(40, 83)(41, 108)(42, 93)(43, 116)(44, 94)(45, 115)(46, 95)(47, 114)(48, 109)(49, 113)(50, 110)(51, 112)(52, 91)(53, 92)(54, 96)(55, 97)(56, 98)(57, 99)(58, 111)
	local type(s) :: { ( 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1190
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 58 f = 3
	degree seq :: [ 116 ]

E28.1251 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {29, 58, 58})
Quotient :: loop
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1), T2^-2 * T1^-4, T2^-14 * T1, T1 * T2^-1 * T1 * T2^-5 * T1^2 * T2^-6 * T1 ]
Map:: non-degenerate
	R = (1, 59, 3, 61, 9, 67, 19, 77, 27, 85, 35, 93, 43, 101, 51, 109, 50, 108, 42, 100, 34, 92, 26, 84, 18, 76, 8, 66, 2, 60, 7, 65, 17, 75, 25, 83, 33, 91, 41, 99, 49, 107, 57, 115, 56, 114, 48, 106, 40, 98, 32, 90, 24, 82, 16, 74, 6, 64, 15, 73, 11, 69, 21, 79, 29, 87, 37, 95, 45, 103, 53, 111, 58, 116, 55, 113, 47, 105, 39, 97, 31, 89, 23, 81, 14, 72, 12, 70, 4, 62, 10, 68, 20, 78, 28, 86, 36, 94, 44, 102, 52, 110, 54, 112, 46, 104, 38, 96, 30, 88, 22, 80, 13, 71, 5, 63)
	L = (1, 60)(2, 64)(3, 65)(4, 59)(5, 66)(6, 72)(7, 73)(8, 74)(9, 75)(10, 61)(11, 62)(12, 63)(13, 76)(14, 71)(15, 70)(16, 81)(17, 69)(18, 82)(19, 83)(20, 67)(21, 68)(22, 84)(23, 80)(24, 89)(25, 79)(26, 90)(27, 91)(28, 77)(29, 78)(30, 92)(31, 88)(32, 97)(33, 87)(34, 98)(35, 99)(36, 85)(37, 86)(38, 100)(39, 96)(40, 105)(41, 95)(42, 106)(43, 107)(44, 93)(45, 94)(46, 108)(47, 104)(48, 113)(49, 103)(50, 114)(51, 115)(52, 101)(53, 102)(54, 109)(55, 112)(56, 116)(57, 111)(58, 110)
	local type(s) :: { ( 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1186
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 58 f = 3
	degree seq :: [ 116 ]

E28.1252 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {29, 58, 58})
Quotient :: loop
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (T1, T2^-1), (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, T2^14 * T1, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 59, 3, 61, 9, 67, 19, 77, 27, 85, 35, 93, 43, 101, 51, 109, 53, 111, 45, 103, 37, 95, 29, 87, 21, 79, 12, 70, 4, 62, 10, 68, 14, 72, 23, 81, 31, 89, 39, 97, 47, 105, 55, 113, 58, 116, 52, 110, 44, 102, 36, 94, 28, 86, 20, 78, 11, 69, 16, 74, 6, 64, 15, 73, 24, 82, 32, 90, 40, 98, 48, 106, 56, 114, 57, 115, 50, 108, 42, 100, 34, 92, 26, 84, 18, 76, 8, 66, 2, 60, 7, 65, 17, 75, 25, 83, 33, 91, 41, 99, 49, 107, 54, 112, 46, 104, 38, 96, 30, 88, 22, 80, 13, 71, 5, 63)
	L = (1, 60)(2, 64)(3, 65)(4, 59)(5, 66)(6, 72)(7, 73)(8, 74)(9, 75)(10, 61)(11, 62)(12, 63)(13, 76)(14, 67)(15, 81)(16, 68)(17, 82)(18, 69)(19, 83)(20, 70)(21, 71)(22, 84)(23, 77)(24, 89)(25, 90)(26, 78)(27, 91)(28, 79)(29, 80)(30, 92)(31, 85)(32, 97)(33, 98)(34, 86)(35, 99)(36, 87)(37, 88)(38, 100)(39, 93)(40, 105)(41, 106)(42, 94)(43, 107)(44, 95)(45, 96)(46, 108)(47, 101)(48, 113)(49, 114)(50, 102)(51, 112)(52, 103)(53, 104)(54, 115)(55, 109)(56, 116)(57, 110)(58, 111)
	local type(s) :: { ( 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58, 29, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1188
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 58 f = 3
	degree seq :: [ 116 ]

E28.1253 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {29, 58, 58})
Quotient :: loop
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1^-1)^2, (T2, T1^-1), (F * T2)^2, (F * T1)^2, T2^-1 * T1^2 * T2^-1, T1 * T2^-13 * T1^-1 * T2^13, T2^14 * T1 * T2^13 * T1, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 59, 3, 61, 6, 64, 12, 70, 15, 73, 20, 78, 23, 81, 28, 86, 31, 89, 36, 94, 39, 97, 44, 102, 47, 105, 52, 110, 55, 113, 57, 115, 54, 112, 49, 107, 46, 104, 41, 99, 38, 96, 33, 91, 30, 88, 25, 83, 22, 80, 17, 75, 14, 72, 9, 67, 5, 63)(2, 60, 7, 65, 11, 69, 16, 74, 19, 77, 24, 82, 27, 85, 32, 90, 35, 93, 40, 98, 43, 101, 48, 106, 51, 109, 56, 114, 58, 116, 53, 111, 50, 108, 45, 103, 42, 100, 37, 95, 34, 92, 29, 87, 26, 84, 21, 79, 18, 76, 13, 71, 10, 68, 4, 62, 8, 66)
	L = (1, 60)(2, 64)(3, 65)(4, 59)(5, 66)(6, 69)(7, 70)(8, 61)(9, 62)(10, 63)(11, 73)(12, 74)(13, 67)(14, 68)(15, 77)(16, 78)(17, 71)(18, 72)(19, 81)(20, 82)(21, 75)(22, 76)(23, 85)(24, 86)(25, 79)(26, 80)(27, 89)(28, 90)(29, 83)(30, 84)(31, 93)(32, 94)(33, 87)(34, 88)(35, 97)(36, 98)(37, 91)(38, 92)(39, 101)(40, 102)(41, 95)(42, 96)(43, 105)(44, 106)(45, 99)(46, 100)(47, 109)(48, 110)(49, 103)(50, 104)(51, 113)(52, 114)(53, 107)(54, 108)(55, 116)(56, 115)(57, 111)(58, 112)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1224
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.1254 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {29, 58, 58})
Quotient :: loop
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, T1^-2 * T2, (F * T2)^2, (F * T1)^2, T2^29, (T2^-1 * T1^-1)^58 ]
Map:: non-degenerate
	R = (1, 59, 3, 61, 7, 65, 11, 69, 15, 73, 19, 77, 23, 81, 27, 85, 31, 89, 33, 91, 35, 93, 37, 95, 39, 97, 41, 99, 43, 101, 45, 103, 47, 105, 49, 107, 51, 109, 53, 111, 55, 113, 57, 115, 29, 87, 25, 83, 21, 79, 17, 75, 13, 71, 9, 67, 5, 63)(2, 60, 6, 64, 10, 68, 14, 72, 18, 76, 22, 80, 26, 84, 30, 88, 32, 90, 34, 92, 36, 94, 38, 96, 40, 98, 42, 100, 44, 102, 46, 104, 48, 106, 50, 108, 52, 110, 54, 112, 56, 114, 58, 116, 28, 86, 24, 82, 20, 78, 16, 74, 12, 70, 8, 66, 4, 62)
	L = (1, 60)(2, 61)(3, 64)(4, 59)(5, 62)(6, 65)(7, 68)(8, 63)(9, 66)(10, 69)(11, 72)(12, 67)(13, 70)(14, 73)(15, 76)(16, 71)(17, 74)(18, 77)(19, 80)(20, 75)(21, 78)(22, 81)(23, 84)(24, 79)(25, 82)(26, 85)(27, 88)(28, 83)(29, 86)(30, 89)(31, 90)(32, 91)(33, 92)(34, 93)(35, 94)(36, 95)(37, 96)(38, 97)(39, 98)(40, 99)(41, 100)(42, 101)(43, 102)(44, 103)(45, 104)(46, 105)(47, 106)(48, 107)(49, 108)(50, 109)(51, 110)(52, 111)(53, 112)(54, 113)(55, 114)(56, 115)(57, 116)(58, 87)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1214
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.1255 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {29, 58, 58})
Quotient :: loop
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T1^-4 * T2^2 * T1^-2, T2^7 * T1 * T2 * T1 * T2, (T1^-1 * T2^-1)^58 ]
Map:: non-degenerate
	R = (1, 59, 3, 61, 9, 67, 19, 77, 33, 91, 45, 103, 48, 106, 36, 94, 23, 81, 11, 69, 21, 79, 26, 84, 39, 97, 51, 109, 57, 115, 58, 116, 53, 111, 42, 100, 30, 88, 16, 74, 6, 64, 15, 73, 29, 87, 41, 99, 50, 108, 38, 96, 25, 83, 13, 71, 5, 63)(2, 60, 7, 65, 17, 75, 31, 89, 43, 101, 49, 107, 37, 95, 24, 82, 12, 70, 4, 62, 10, 68, 20, 78, 34, 92, 46, 104, 55, 113, 56, 114, 47, 105, 35, 93, 22, 80, 28, 86, 14, 72, 27, 85, 40, 98, 52, 110, 54, 112, 44, 102, 32, 90, 18, 76, 8, 66)
	L = (1, 60)(2, 64)(3, 65)(4, 59)(5, 66)(6, 72)(7, 73)(8, 74)(9, 75)(10, 61)(11, 62)(12, 63)(13, 76)(14, 84)(15, 85)(16, 86)(17, 87)(18, 88)(19, 89)(20, 67)(21, 68)(22, 69)(23, 70)(24, 71)(25, 90)(26, 78)(27, 97)(28, 79)(29, 98)(30, 80)(31, 99)(32, 100)(33, 101)(34, 77)(35, 81)(36, 82)(37, 83)(38, 102)(39, 92)(40, 109)(41, 110)(42, 93)(43, 108)(44, 111)(45, 107)(46, 91)(47, 94)(48, 95)(49, 96)(50, 112)(51, 104)(52, 115)(53, 105)(54, 116)(55, 103)(56, 106)(57, 113)(58, 114)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1217
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.1256 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {29, 58, 58})
Quotient :: loop
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (T2, T1), (T2, T1), (F * T2)^2, (F * T1)^2, T2^-1 * T1^-1 * T2^-1 * T1^-5, T2^3 * T1^-1 * T2 * T1^-1 * T2^5, T1^107 * T2^-2 * T1^3 ]
Map:: non-degenerate
	R = (1, 59, 3, 61, 9, 67, 19, 77, 33, 91, 45, 103, 42, 100, 30, 88, 16, 74, 6, 64, 15, 73, 29, 87, 41, 99, 53, 111, 58, 116, 57, 115, 51, 109, 39, 97, 26, 84, 23, 81, 11, 69, 21, 79, 35, 93, 47, 105, 50, 108, 38, 96, 25, 83, 13, 71, 5, 63)(2, 60, 7, 65, 17, 75, 31, 89, 43, 101, 54, 112, 52, 110, 40, 98, 28, 86, 14, 72, 27, 85, 22, 80, 36, 94, 48, 106, 55, 113, 56, 114, 49, 107, 37, 95, 24, 82, 12, 70, 4, 62, 10, 68, 20, 78, 34, 92, 46, 104, 44, 102, 32, 90, 18, 76, 8, 66)
	L = (1, 60)(2, 64)(3, 65)(4, 59)(5, 66)(6, 72)(7, 73)(8, 74)(9, 75)(10, 61)(11, 62)(12, 63)(13, 76)(14, 84)(15, 85)(16, 86)(17, 87)(18, 88)(19, 89)(20, 67)(21, 68)(22, 69)(23, 70)(24, 71)(25, 90)(26, 82)(27, 81)(28, 97)(29, 80)(30, 98)(31, 99)(32, 100)(33, 101)(34, 77)(35, 78)(36, 79)(37, 83)(38, 102)(39, 95)(40, 109)(41, 94)(42, 110)(43, 111)(44, 103)(45, 112)(46, 91)(47, 92)(48, 93)(49, 96)(50, 104)(51, 107)(52, 115)(53, 106)(54, 116)(55, 105)(56, 108)(57, 114)(58, 113)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1223
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.1257 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {29, 58, 58})
Quotient :: loop
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-1 * T2 * T1^-3, T1 * T2 * T1 * T2^13, (T1^-1 * T2^-1)^58 ]
Map:: non-degenerate
	R = (1, 59, 3, 61, 9, 67, 17, 75, 25, 83, 33, 91, 41, 99, 49, 107, 57, 115, 51, 109, 43, 101, 35, 93, 27, 85, 19, 77, 11, 69, 6, 64, 14, 72, 22, 80, 30, 88, 38, 96, 46, 104, 54, 112, 53, 111, 45, 103, 37, 95, 29, 87, 21, 79, 13, 71, 5, 63)(2, 60, 7, 65, 15, 73, 23, 81, 31, 89, 39, 97, 47, 105, 55, 113, 52, 110, 44, 102, 36, 94, 28, 86, 20, 78, 12, 70, 4, 62, 10, 68, 18, 76, 26, 84, 34, 92, 42, 100, 50, 108, 58, 116, 56, 114, 48, 106, 40, 98, 32, 90, 24, 82, 16, 74, 8, 66)
	L = (1, 60)(2, 64)(3, 65)(4, 59)(5, 66)(6, 68)(7, 72)(8, 69)(9, 73)(10, 61)(11, 62)(12, 63)(13, 74)(14, 76)(15, 80)(16, 77)(17, 81)(18, 67)(19, 70)(20, 71)(21, 82)(22, 84)(23, 88)(24, 85)(25, 89)(26, 75)(27, 78)(28, 79)(29, 90)(30, 92)(31, 96)(32, 93)(33, 97)(34, 83)(35, 86)(36, 87)(37, 98)(38, 100)(39, 104)(40, 101)(41, 105)(42, 91)(43, 94)(44, 95)(45, 106)(46, 108)(47, 112)(48, 109)(49, 113)(50, 99)(51, 102)(52, 103)(53, 114)(54, 116)(55, 111)(56, 115)(57, 110)(58, 107)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1216
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.1258 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {29, 58, 58})
Quotient :: loop
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2^-1, T1), (F * T1)^2, T1 * T2 * T1^3, T1 * T2^-1 * T1 * T2^-13, T1 * T2^-3 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-4 ]
Map:: non-degenerate
	R = (1, 59, 3, 61, 9, 67, 17, 75, 25, 83, 33, 91, 41, 99, 49, 107, 54, 112, 46, 104, 38, 96, 30, 88, 22, 80, 14, 72, 6, 64, 11, 69, 19, 77, 27, 85, 35, 93, 43, 101, 51, 109, 57, 115, 53, 111, 45, 103, 37, 95, 29, 87, 21, 79, 13, 71, 5, 63)(2, 60, 7, 65, 15, 73, 23, 81, 31, 89, 39, 97, 47, 105, 55, 113, 58, 116, 52, 110, 44, 102, 36, 94, 28, 86, 20, 78, 12, 70, 4, 62, 10, 68, 18, 76, 26, 84, 34, 92, 42, 100, 50, 108, 56, 114, 48, 106, 40, 98, 32, 90, 24, 82, 16, 74, 8, 66)
	L = (1, 60)(2, 64)(3, 65)(4, 59)(5, 66)(6, 70)(7, 69)(8, 72)(9, 73)(10, 61)(11, 62)(12, 63)(13, 74)(14, 78)(15, 77)(16, 80)(17, 81)(18, 67)(19, 68)(20, 71)(21, 82)(22, 86)(23, 85)(24, 88)(25, 89)(26, 75)(27, 76)(28, 79)(29, 90)(30, 94)(31, 93)(32, 96)(33, 97)(34, 83)(35, 84)(36, 87)(37, 98)(38, 102)(39, 101)(40, 104)(41, 105)(42, 91)(43, 92)(44, 95)(45, 106)(46, 110)(47, 109)(48, 112)(49, 113)(50, 99)(51, 100)(52, 103)(53, 114)(54, 116)(55, 115)(56, 107)(57, 108)(58, 111)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1213
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.1259 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {29, 58, 58})
Quotient :: loop
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (T2, T1), (F * T2)^2, (F * T1)^2, T1^-2 * T2 * T1^-1 * T2^4 * T1^-1, T1^-1 * T2^-1 * T1^-9 * T2^-1, (T1^-1 * T2^-1)^58 ]
Map:: non-degenerate
	R = (1, 59, 3, 61, 9, 67, 19, 77, 33, 91, 26, 84, 43, 101, 54, 112, 58, 116, 50, 108, 39, 97, 23, 81, 11, 69, 21, 79, 35, 93, 30, 88, 16, 74, 6, 64, 15, 73, 29, 87, 45, 103, 56, 114, 52, 110, 48, 106, 37, 95, 41, 99, 25, 83, 13, 71, 5, 63)(2, 60, 7, 65, 17, 75, 31, 89, 46, 104, 42, 100, 53, 111, 47, 105, 51, 109, 40, 98, 24, 82, 12, 70, 4, 62, 10, 68, 20, 78, 34, 92, 28, 86, 14, 72, 27, 85, 44, 102, 55, 113, 57, 115, 49, 107, 38, 96, 22, 80, 36, 94, 32, 90, 18, 76, 8, 66)
	L = (1, 60)(2, 64)(3, 65)(4, 59)(5, 66)(6, 72)(7, 73)(8, 74)(9, 75)(10, 61)(11, 62)(12, 63)(13, 76)(14, 84)(15, 85)(16, 86)(17, 87)(18, 88)(19, 89)(20, 67)(21, 68)(22, 69)(23, 70)(24, 71)(25, 90)(26, 100)(27, 101)(28, 91)(29, 102)(30, 92)(31, 103)(32, 93)(33, 104)(34, 77)(35, 78)(36, 79)(37, 80)(38, 81)(39, 82)(40, 83)(41, 94)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 95)(48, 96)(49, 97)(50, 98)(51, 99)(52, 107)(53, 106)(54, 105)(55, 116)(56, 115)(57, 108)(58, 109)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1218
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.1260 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {29, 58, 58})
Quotient :: loop
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (T2, T1), (F * T2)^2, (F * T1)^2, T1^3 * T2 * T1^3, T2^-2 * T1^2 * T2^2 * T1^-2, T2^-1 * T1^-1 * T2^-3 * T1^-1 * T2^-6, T2^-1 * T1^-2 * T2^10 * T1^-2, T1 * T2^-1 * T1 * T2^-1 * T1^2 * T2^-1 * T1^2 * T2^-1 * T1^2 * T2^-1 * T1^2 * T2^-3, T1^-2 * T2^5 * T1^-2 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 59, 3, 61, 9, 67, 19, 77, 31, 89, 43, 101, 55, 113, 47, 105, 35, 93, 23, 81, 11, 69, 21, 79, 33, 91, 45, 103, 57, 115, 52, 110, 40, 98, 28, 86, 16, 74, 6, 64, 15, 73, 27, 85, 39, 97, 51, 109, 49, 107, 37, 95, 25, 83, 13, 71, 5, 63)(2, 60, 7, 65, 17, 75, 29, 87, 41, 99, 53, 111, 48, 106, 36, 94, 24, 82, 12, 70, 4, 62, 10, 68, 20, 78, 32, 90, 44, 102, 56, 114, 50, 108, 38, 96, 26, 84, 14, 72, 22, 80, 34, 92, 46, 104, 58, 116, 54, 112, 42, 100, 30, 88, 18, 76, 8, 66)
	L = (1, 60)(2, 64)(3, 65)(4, 59)(5, 66)(6, 72)(7, 73)(8, 74)(9, 75)(10, 61)(11, 62)(12, 63)(13, 76)(14, 81)(15, 80)(16, 84)(17, 85)(18, 86)(19, 87)(20, 67)(21, 68)(22, 69)(23, 70)(24, 71)(25, 88)(26, 93)(27, 92)(28, 96)(29, 97)(30, 98)(31, 99)(32, 77)(33, 78)(34, 79)(35, 82)(36, 83)(37, 100)(38, 105)(39, 104)(40, 108)(41, 109)(42, 110)(43, 111)(44, 89)(45, 90)(46, 91)(47, 94)(48, 95)(49, 112)(50, 113)(51, 116)(52, 114)(53, 107)(54, 115)(55, 106)(56, 101)(57, 102)(58, 103)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1215
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.1261 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {29, 58, 58})
Quotient :: loop
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2^-1), (F * T2)^2, (F * T1)^2, T2 * T1 * T2^7 * T1, T1^3 * T2^-1 * T1 * T2^-4 * T1^2, T1^2 * T2 * T1^2 * T2^2 * T1^4, T2^3 * T1^-2 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-2 ]
Map:: non-degenerate
	R = (1, 59, 3, 61, 9, 67, 19, 77, 33, 91, 51, 109, 39, 97, 23, 81, 11, 69, 21, 79, 35, 93, 53, 111, 44, 102, 26, 84, 43, 101, 57, 115, 37, 95, 55, 113, 48, 106, 30, 88, 16, 74, 6, 64, 15, 73, 29, 87, 47, 105, 41, 99, 25, 83, 13, 71, 5, 63)(2, 60, 7, 65, 17, 75, 31, 89, 49, 107, 40, 98, 24, 82, 12, 70, 4, 62, 10, 68, 20, 78, 34, 92, 52, 110, 42, 100, 58, 116, 38, 96, 22, 80, 36, 94, 54, 112, 46, 104, 28, 86, 14, 72, 27, 85, 45, 103, 56, 114, 50, 108, 32, 90, 18, 76, 8, 66)
	L = (1, 60)(2, 64)(3, 65)(4, 59)(5, 66)(6, 72)(7, 73)(8, 74)(9, 75)(10, 61)(11, 62)(12, 63)(13, 76)(14, 84)(15, 85)(16, 86)(17, 87)(18, 88)(19, 89)(20, 67)(21, 68)(22, 69)(23, 70)(24, 71)(25, 90)(26, 100)(27, 101)(28, 102)(29, 103)(30, 104)(31, 105)(32, 106)(33, 107)(34, 77)(35, 78)(36, 79)(37, 80)(38, 81)(39, 82)(40, 83)(41, 108)(42, 109)(43, 116)(44, 110)(45, 115)(46, 111)(47, 114)(48, 112)(49, 99)(50, 113)(51, 98)(52, 91)(53, 92)(54, 93)(55, 94)(56, 95)(57, 96)(58, 97)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1222
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.1262 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {29, 58, 58})
Quotient :: loop
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1 * T2^-1 * T1^7, T2^5 * T1 * T2 * T1 * T2, T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 59, 3, 61, 9, 67, 19, 77, 33, 91, 39, 97, 23, 81, 11, 69, 21, 79, 35, 93, 48, 106, 55, 113, 57, 115, 50, 108, 37, 95, 26, 84, 42, 100, 52, 110, 54, 112, 45, 103, 30, 88, 16, 74, 6, 64, 15, 73, 29, 87, 41, 99, 25, 83, 13, 71, 5, 63)(2, 60, 7, 65, 17, 75, 31, 89, 40, 98, 24, 82, 12, 70, 4, 62, 10, 68, 20, 78, 34, 92, 47, 105, 51, 109, 38, 96, 22, 80, 36, 94, 49, 107, 56, 114, 58, 116, 53, 111, 44, 102, 28, 86, 14, 72, 27, 85, 43, 101, 46, 104, 32, 90, 18, 76, 8, 66)
	L = (1, 60)(2, 64)(3, 65)(4, 59)(5, 66)(6, 72)(7, 73)(8, 74)(9, 75)(10, 61)(11, 62)(12, 63)(13, 76)(14, 84)(15, 85)(16, 86)(17, 87)(18, 88)(19, 89)(20, 67)(21, 68)(22, 69)(23, 70)(24, 71)(25, 90)(26, 94)(27, 100)(28, 95)(29, 101)(30, 102)(31, 99)(32, 103)(33, 98)(34, 77)(35, 78)(36, 79)(37, 80)(38, 81)(39, 82)(40, 83)(41, 104)(42, 107)(43, 110)(44, 108)(45, 111)(46, 112)(47, 91)(48, 92)(49, 93)(50, 96)(51, 97)(52, 114)(53, 115)(54, 116)(55, 105)(56, 106)(57, 109)(58, 113)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1220
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.1263 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {29, 58, 58})
Quotient :: loop
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (T2, T1), (F * T2)^2, (F * T1)^2, T1^-1 * T2 * T1^-1 * T2^2, T1 * T2 * T1^17 * T2, (T1^-1 * T2^-1)^58 ]
Map:: non-degenerate
	R = (1, 59, 3, 61, 9, 67, 6, 64, 15, 73, 22, 80, 20, 78, 27, 85, 34, 92, 32, 90, 39, 97, 46, 104, 44, 102, 51, 109, 58, 116, 56, 114, 54, 112, 47, 105, 49, 107, 42, 100, 35, 93, 37, 95, 30, 88, 23, 81, 25, 83, 18, 76, 11, 69, 13, 71, 5, 63)(2, 60, 7, 65, 16, 74, 14, 72, 21, 79, 28, 86, 26, 84, 33, 91, 40, 98, 38, 96, 45, 103, 52, 110, 50, 108, 57, 115, 53, 111, 55, 113, 48, 106, 41, 99, 43, 101, 36, 94, 29, 87, 31, 89, 24, 82, 17, 75, 19, 77, 12, 70, 4, 62, 10, 68, 8, 66)
	L = (1, 60)(2, 64)(3, 65)(4, 59)(5, 66)(6, 72)(7, 73)(8, 67)(9, 74)(10, 61)(11, 62)(12, 63)(13, 68)(14, 78)(15, 79)(16, 80)(17, 69)(18, 70)(19, 71)(20, 84)(21, 85)(22, 86)(23, 75)(24, 76)(25, 77)(26, 90)(27, 91)(28, 92)(29, 81)(30, 82)(31, 83)(32, 96)(33, 97)(34, 98)(35, 87)(36, 88)(37, 89)(38, 102)(39, 103)(40, 104)(41, 93)(42, 94)(43, 95)(44, 108)(45, 109)(46, 110)(47, 99)(48, 100)(49, 101)(50, 114)(51, 115)(52, 116)(53, 105)(54, 106)(55, 107)(56, 113)(57, 112)(58, 111)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1221
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.1264 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {29, 58, 58})
Quotient :: loop
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (T2, T1), (F * T2)^2, (F * T1)^2, T2^-3 * T1^-2 * T2^-3, T1^5 * T2 * T1^5, T1^3 * T2^-2 * T1^-4 * T2^2 * T1, T1 * T2^-1 * T1 * T2^-1 * T1^2 * T2^-1 * T1^2 * T2^-1 * T1^2 * T2^-1, T1^-2 * T2^2 * T1^-2 * T2^2 * T1^-2 * T2^2 * T1^-2 * T2^2 * T1^-2 * T2^2 * T1^-2 * T2^2 * T1^-2 * T2^2 * T1^-2 * T2^2 * T1^-2 * T2^2 * T1^-2 * T2^2 * T1^-2 * T2^2 * T1^-2 * T2^2 * T1^-2 * T2^2 * T1^-2 * T2^-2 * T1^-2 * T2^2 ]
Map:: non-degenerate
	R = (1, 59, 3, 61, 9, 67, 19, 77, 33, 91, 23, 81, 11, 69, 21, 79, 35, 93, 46, 104, 55, 113, 50, 108, 37, 95, 48, 106, 57, 115, 53, 111, 41, 99, 26, 84, 40, 98, 52, 110, 44, 102, 30, 88, 16, 74, 6, 64, 15, 73, 29, 87, 25, 83, 13, 71, 5, 63)(2, 60, 7, 65, 17, 75, 31, 89, 24, 82, 12, 70, 4, 62, 10, 68, 20, 78, 34, 92, 45, 103, 38, 96, 22, 80, 36, 94, 47, 105, 56, 114, 51, 109, 39, 97, 49, 107, 58, 116, 54, 112, 43, 101, 28, 86, 14, 72, 27, 85, 42, 100, 32, 90, 18, 76, 8, 66)
	L = (1, 60)(2, 64)(3, 65)(4, 59)(5, 66)(6, 72)(7, 73)(8, 74)(9, 75)(10, 61)(11, 62)(12, 63)(13, 76)(14, 84)(15, 85)(16, 86)(17, 87)(18, 88)(19, 89)(20, 67)(21, 68)(22, 69)(23, 70)(24, 71)(25, 90)(26, 97)(27, 98)(28, 99)(29, 100)(30, 101)(31, 83)(32, 102)(33, 82)(34, 77)(35, 78)(36, 79)(37, 80)(38, 81)(39, 108)(40, 107)(41, 109)(42, 110)(43, 111)(44, 112)(45, 91)(46, 92)(47, 93)(48, 94)(49, 95)(50, 96)(51, 113)(52, 116)(53, 114)(54, 115)(55, 103)(56, 104)(57, 105)(58, 106)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1219
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.1265 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {29, 58, 58})
Quotient :: loop
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2^-1), (F * T2)^2, (F * T1)^2, T2 * T1^-1 * T2 * T1^-3 * T2, T2 * T1 * T2^12 * T1, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 59, 3, 61, 9, 67, 19, 77, 29, 87, 37, 95, 45, 103, 53, 111, 55, 113, 47, 105, 39, 97, 31, 89, 23, 81, 11, 69, 21, 79, 16, 74, 6, 64, 15, 73, 27, 85, 35, 93, 43, 101, 51, 109, 57, 115, 49, 107, 41, 99, 33, 91, 25, 83, 13, 71, 5, 63)(2, 60, 7, 65, 17, 75, 28, 86, 36, 94, 44, 102, 52, 110, 56, 114, 48, 106, 40, 98, 32, 90, 24, 82, 12, 70, 4, 62, 10, 68, 20, 78, 14, 72, 26, 84, 34, 92, 42, 100, 50, 108, 58, 116, 54, 112, 46, 104, 38, 96, 30, 88, 22, 80, 18, 76, 8, 66)
	L = (1, 60)(2, 64)(3, 65)(4, 59)(5, 66)(6, 72)(7, 73)(8, 74)(9, 75)(10, 61)(11, 62)(12, 63)(13, 76)(14, 77)(15, 84)(16, 78)(17, 85)(18, 79)(19, 86)(20, 67)(21, 68)(22, 69)(23, 70)(24, 71)(25, 80)(26, 87)(27, 92)(28, 93)(29, 94)(30, 81)(31, 82)(32, 83)(33, 88)(34, 95)(35, 100)(36, 101)(37, 102)(38, 89)(39, 90)(40, 91)(41, 96)(42, 103)(43, 108)(44, 109)(45, 110)(46, 97)(47, 98)(48, 99)(49, 104)(50, 111)(51, 116)(52, 115)(53, 114)(54, 105)(55, 106)(56, 107)(57, 112)(58, 113)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1225
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.1266 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y3^-1 * Y1^-1, Y2^-1 * Y3^-1 * Y2 * Y1^-1, (R * Y1)^2, Y2^-2 * Y3^-2, (R * Y2)^2, (R * Y3)^2, Y3^-2 * Y1^12 * Y2^2 * Y3^-13, Y3^-2 * Y1^27, Y3^-2 * Y2^56, Y3 * Y1^-1 * Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 11, 69, 15, 73, 19, 77, 23, 81, 27, 85, 31, 89, 35, 93, 39, 97, 43, 101, 47, 105, 51, 109, 55, 113, 57, 115, 53, 111, 49, 107, 45, 103, 41, 99, 37, 95, 33, 91, 29, 87, 25, 83, 21, 79, 17, 75, 13, 71, 9, 67, 4, 62)(3, 61, 7, 65, 12, 70, 16, 74, 20, 78, 24, 82, 28, 86, 32, 90, 36, 94, 40, 98, 44, 102, 48, 106, 52, 110, 56, 114, 58, 116, 54, 112, 50, 108, 46, 104, 42, 100, 38, 96, 34, 92, 30, 88, 26, 84, 22, 80, 18, 76, 14, 72, 10, 68, 5, 63, 8, 66)(117, 175, 119, 177, 122, 180, 128, 186, 131, 189, 136, 194, 139, 197, 144, 202, 147, 205, 152, 210, 155, 213, 160, 218, 163, 221, 168, 226, 171, 229, 174, 232, 169, 227, 166, 224, 161, 219, 158, 216, 153, 211, 150, 208, 145, 203, 142, 200, 137, 195, 134, 192, 129, 187, 126, 184, 120, 178, 124, 182, 118, 176, 123, 181, 127, 185, 132, 190, 135, 193, 140, 198, 143, 201, 148, 206, 151, 209, 156, 214, 159, 217, 164, 222, 167, 225, 172, 230, 173, 231, 170, 228, 165, 223, 162, 220, 157, 215, 154, 212, 149, 207, 146, 204, 141, 199, 138, 196, 133, 191, 130, 188, 125, 183, 121, 179)
	L = (1, 120)(2, 117)(3, 124)(4, 125)(5, 126)(6, 118)(7, 119)(8, 121)(9, 129)(10, 130)(11, 122)(12, 123)(13, 133)(14, 134)(15, 127)(16, 128)(17, 137)(18, 138)(19, 131)(20, 132)(21, 141)(22, 142)(23, 135)(24, 136)(25, 145)(26, 146)(27, 139)(28, 140)(29, 149)(30, 150)(31, 143)(32, 144)(33, 153)(34, 154)(35, 147)(36, 148)(37, 157)(38, 158)(39, 151)(40, 152)(41, 161)(42, 162)(43, 155)(44, 156)(45, 165)(46, 166)(47, 159)(48, 160)(49, 169)(50, 170)(51, 163)(52, 164)(53, 173)(54, 174)(55, 167)(56, 168)(57, 171)(58, 172)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116 ), ( 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.1344
Graph:: bipartite
	v = 3 e = 116 f = 59
	degree seq :: [ 58^2, 116 ]

E28.1267 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y2^2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^29, Y1^29 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 10, 68, 14, 72, 18, 76, 22, 80, 26, 84, 48, 106, 52, 110, 53, 111, 56, 114, 51, 109, 47, 105, 45, 103, 43, 101, 41, 99, 38, 96, 33, 91, 30, 88, 31, 89, 35, 93, 29, 87, 25, 83, 21, 79, 17, 75, 13, 71, 9, 67, 4, 62)(3, 61, 5, 63, 7, 65, 11, 69, 15, 73, 19, 77, 23, 81, 27, 85, 49, 107, 54, 112, 55, 113, 57, 115, 58, 116, 50, 108, 46, 104, 44, 102, 42, 100, 40, 98, 37, 95, 32, 90, 34, 92, 36, 94, 39, 97, 28, 86, 24, 82, 20, 78, 16, 74, 12, 70, 8, 66)(117, 175, 119, 177, 120, 178, 124, 182, 125, 183, 128, 186, 129, 187, 132, 190, 133, 191, 136, 194, 137, 195, 140, 198, 141, 199, 144, 202, 145, 203, 155, 213, 151, 209, 152, 210, 147, 205, 150, 208, 146, 204, 148, 206, 149, 207, 153, 211, 154, 212, 156, 214, 157, 215, 158, 216, 159, 217, 160, 218, 161, 219, 162, 220, 163, 221, 166, 224, 167, 225, 174, 232, 172, 230, 173, 231, 169, 227, 171, 229, 168, 226, 170, 228, 164, 222, 165, 223, 142, 200, 143, 201, 138, 196, 139, 197, 134, 192, 135, 193, 130, 188, 131, 189, 126, 184, 127, 185, 122, 180, 123, 181, 118, 176, 121, 179)
	L = (1, 120)(2, 117)(3, 124)(4, 125)(5, 119)(6, 118)(7, 121)(8, 128)(9, 129)(10, 122)(11, 123)(12, 132)(13, 133)(14, 126)(15, 127)(16, 136)(17, 137)(18, 130)(19, 131)(20, 140)(21, 141)(22, 134)(23, 135)(24, 144)(25, 145)(26, 138)(27, 139)(28, 155)(29, 151)(30, 149)(31, 146)(32, 153)(33, 154)(34, 148)(35, 147)(36, 150)(37, 156)(38, 157)(39, 152)(40, 158)(41, 159)(42, 160)(43, 161)(44, 162)(45, 163)(46, 166)(47, 167)(48, 142)(49, 143)(50, 174)(51, 172)(52, 164)(53, 168)(54, 165)(55, 170)(56, 169)(57, 171)(58, 173)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116 ), ( 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.1333
Graph:: bipartite
	v = 3 e = 116 f = 59
	degree seq :: [ 58^2, 116 ]

E28.1268 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y3 * Y2^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y2^-1, Y1^-1), Y3^29, Y1^29, (Y3 * Y2^-1)^58 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 10, 68, 14, 72, 18, 76, 22, 80, 26, 84, 30, 88, 31, 89, 34, 92, 36, 94, 38, 96, 40, 98, 42, 100, 44, 102, 48, 106, 49, 107, 52, 110, 54, 112, 56, 114, 46, 104, 28, 86, 24, 82, 20, 78, 16, 74, 12, 70, 8, 66, 4, 62)(3, 61, 7, 65, 11, 69, 15, 73, 19, 77, 23, 81, 27, 85, 33, 91, 32, 90, 35, 93, 37, 95, 39, 97, 41, 99, 43, 101, 45, 103, 51, 109, 50, 108, 53, 111, 55, 113, 57, 115, 58, 116, 47, 105, 29, 87, 25, 83, 21, 79, 17, 75, 13, 71, 9, 67, 5, 63)(117, 175, 119, 177, 118, 176, 123, 181, 122, 180, 127, 185, 126, 184, 131, 189, 130, 188, 135, 193, 134, 192, 139, 197, 138, 196, 143, 201, 142, 200, 149, 207, 146, 204, 148, 206, 147, 205, 151, 209, 150, 208, 153, 211, 152, 210, 155, 213, 154, 212, 157, 215, 156, 214, 159, 217, 158, 216, 161, 219, 160, 218, 167, 225, 164, 222, 166, 224, 165, 223, 169, 227, 168, 226, 171, 229, 170, 228, 173, 231, 172, 230, 174, 232, 162, 220, 163, 221, 144, 202, 145, 203, 140, 198, 141, 199, 136, 194, 137, 195, 132, 190, 133, 191, 128, 186, 129, 187, 124, 182, 125, 183, 120, 178, 121, 179)
	L = (1, 120)(2, 117)(3, 121)(4, 124)(5, 125)(6, 118)(7, 119)(8, 128)(9, 129)(10, 122)(11, 123)(12, 132)(13, 133)(14, 126)(15, 127)(16, 136)(17, 137)(18, 130)(19, 131)(20, 140)(21, 141)(22, 134)(23, 135)(24, 144)(25, 145)(26, 138)(27, 139)(28, 162)(29, 163)(30, 142)(31, 146)(32, 149)(33, 143)(34, 147)(35, 148)(36, 150)(37, 151)(38, 152)(39, 153)(40, 154)(41, 155)(42, 156)(43, 157)(44, 158)(45, 159)(46, 172)(47, 174)(48, 160)(49, 164)(50, 167)(51, 161)(52, 165)(53, 166)(54, 168)(55, 169)(56, 170)(57, 171)(58, 173)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116 ), ( 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.1330
Graph:: bipartite
	v = 3 e = 116 f = 59
	degree seq :: [ 58^2, 116 ]

E28.1269 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y3^-1 * Y1^-1, (R * Y1)^2, Y3 * Y2 * Y1 * Y2^-1, (R * Y3)^2, Y2^-1 * Y1^-1 * Y2 * Y3^-1, (R * Y2)^2, Y3^-1 * Y1 * Y2 * Y1^-1 * Y3 * Y2^-1, Y2^5 * Y1^2 * Y2, Y3^-2 * Y1 * Y2^-2 * Y3^-1 * Y1^2 * Y3^-3, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-2 * Y2^-1 * Y1^2 * Y3^-1 * Y2^-1, Y2^-4 * Y3^-1 * Y2^-2 * Y3^-3 * Y2^-2 * Y3^-3, Y3^-2 * Y2 * Y3 * Y1^-2 * Y2^2 * Y3 * Y1^-2 * Y2^2 * Y3 * Y1^-2 * Y2^3, Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 14, 72, 26, 84, 39, 97, 47, 105, 35, 93, 20, 78, 9, 67, 17, 75, 29, 87, 42, 100, 52, 110, 57, 115, 58, 116, 54, 112, 45, 103, 33, 91, 24, 82, 13, 71, 18, 76, 30, 88, 43, 101, 49, 107, 37, 95, 22, 80, 11, 69, 4, 62)(3, 61, 7, 65, 15, 73, 27, 85, 40, 98, 51, 109, 55, 113, 46, 104, 34, 92, 19, 77, 31, 89, 25, 83, 32, 90, 44, 102, 53, 111, 56, 114, 50, 108, 38, 96, 23, 81, 12, 70, 5, 63, 8, 66, 16, 74, 28, 86, 41, 99, 48, 106, 36, 94, 21, 79, 10, 68)(117, 175, 119, 177, 125, 183, 135, 193, 149, 207, 139, 197, 127, 185, 137, 195, 151, 209, 162, 220, 170, 228, 166, 224, 153, 211, 164, 222, 155, 213, 167, 225, 173, 231, 169, 227, 159, 217, 144, 202, 130, 188, 143, 201, 158, 216, 148, 206, 134, 192, 124, 182, 118, 176, 123, 181, 133, 191, 147, 205, 140, 198, 128, 186, 120, 178, 126, 184, 136, 194, 150, 208, 161, 219, 154, 212, 138, 196, 152, 210, 163, 221, 171, 229, 174, 232, 172, 230, 165, 223, 157, 215, 142, 200, 156, 214, 168, 226, 160, 218, 146, 204, 132, 190, 122, 180, 131, 189, 145, 203, 141, 199, 129, 187, 121, 179)
	L = (1, 120)(2, 117)(3, 126)(4, 127)(5, 128)(6, 118)(7, 119)(8, 121)(9, 136)(10, 137)(11, 138)(12, 139)(13, 140)(14, 122)(15, 123)(16, 124)(17, 125)(18, 129)(19, 150)(20, 151)(21, 152)(22, 153)(23, 154)(24, 149)(25, 147)(26, 130)(27, 131)(28, 132)(29, 133)(30, 134)(31, 135)(32, 141)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 142)(40, 143)(41, 144)(42, 145)(43, 146)(44, 148)(45, 170)(46, 171)(47, 155)(48, 157)(49, 159)(50, 172)(51, 156)(52, 158)(53, 160)(54, 174)(55, 167)(56, 169)(57, 168)(58, 173)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116 ), ( 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.1326
Graph:: bipartite
	v = 3 e = 116 f = 59
	degree seq :: [ 58^2, 116 ]

E28.1270 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y1 * Y3, (Y3, Y2), (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2^-1), (Y2^-1, Y1), (R * Y2)^2, Y1 * Y2^2 * Y1^-1 * Y2^-2, Y2^-4 * Y3^-2 * Y2^-2, Y1^4 * Y2 * Y1 * Y2 * Y1 * Y3^-3, Y1 * Y2^-1 * Y1 * Y2^-1 * Y3^3 * Y2^-2 * Y3^3 * Y2^-2 * Y3^3 * Y2^-2, Y2 * Y1 * Y3^-1 * Y2 * Y3^-16 * Y2^2, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 14, 72, 26, 84, 39, 97, 49, 107, 37, 95, 24, 82, 13, 71, 18, 76, 30, 88, 43, 101, 52, 110, 57, 115, 58, 116, 54, 112, 45, 103, 33, 91, 20, 78, 9, 67, 17, 75, 29, 87, 42, 100, 47, 105, 35, 93, 22, 80, 11, 69, 4, 62)(3, 61, 7, 65, 15, 73, 27, 85, 40, 98, 48, 106, 36, 94, 23, 81, 12, 70, 5, 63, 8, 66, 16, 74, 28, 86, 41, 99, 51, 109, 56, 114, 50, 108, 38, 96, 25, 83, 32, 90, 19, 77, 31, 89, 44, 102, 53, 111, 55, 113, 46, 104, 34, 92, 21, 79, 10, 68)(117, 175, 119, 177, 125, 183, 135, 193, 146, 204, 132, 190, 122, 180, 131, 189, 145, 203, 160, 218, 168, 226, 157, 215, 142, 200, 156, 214, 163, 221, 171, 229, 174, 232, 172, 230, 165, 223, 152, 210, 138, 196, 150, 208, 161, 219, 154, 212, 140, 198, 128, 186, 120, 178, 126, 184, 136, 194, 148, 206, 134, 192, 124, 182, 118, 176, 123, 181, 133, 191, 147, 205, 159, 217, 144, 202, 130, 188, 143, 201, 158, 216, 169, 227, 173, 231, 167, 225, 155, 213, 164, 222, 151, 209, 162, 220, 170, 228, 166, 224, 153, 211, 139, 197, 127, 185, 137, 195, 149, 207, 141, 199, 129, 187, 121, 179)
	L = (1, 120)(2, 117)(3, 126)(4, 127)(5, 128)(6, 118)(7, 119)(8, 121)(9, 136)(10, 137)(11, 138)(12, 139)(13, 140)(14, 122)(15, 123)(16, 124)(17, 125)(18, 129)(19, 148)(20, 149)(21, 150)(22, 151)(23, 152)(24, 153)(25, 154)(26, 130)(27, 131)(28, 132)(29, 133)(30, 134)(31, 135)(32, 141)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 142)(40, 143)(41, 144)(42, 145)(43, 146)(44, 147)(45, 170)(46, 171)(47, 158)(48, 156)(49, 155)(50, 172)(51, 157)(52, 159)(53, 160)(54, 174)(55, 169)(56, 167)(57, 168)(58, 173)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116 ), ( 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.1329
Graph:: bipartite
	v = 3 e = 116 f = 59
	degree seq :: [ 58^2, 116 ]

E28.1271 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y3)^2, (R * Y1)^2, Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y1^-1 * Y2^-1 * Y3^-1, (R * Y2)^2, Y2 * Y3^-1 * Y2^3, Y1^-1 * Y2 * Y3^6 * Y2 * Y1^-7, Y2 * Y3^14 * Y2, Y1^-1 * Y2 * Y1^-2 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-1 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 14, 72, 22, 80, 30, 88, 38, 96, 46, 104, 54, 112, 50, 108, 42, 100, 34, 92, 26, 84, 18, 76, 9, 67, 13, 71, 17, 75, 25, 83, 33, 91, 41, 99, 49, 107, 57, 115, 52, 110, 44, 102, 36, 94, 28, 86, 20, 78, 11, 69, 4, 62)(3, 61, 7, 65, 15, 73, 23, 81, 31, 89, 39, 97, 47, 105, 55, 113, 58, 116, 53, 111, 45, 103, 37, 95, 29, 87, 21, 79, 12, 70, 5, 63, 8, 66, 16, 74, 24, 82, 32, 90, 40, 98, 48, 106, 56, 114, 51, 109, 43, 101, 35, 93, 27, 85, 19, 77, 10, 68)(117, 175, 119, 177, 125, 183, 128, 186, 120, 178, 126, 184, 134, 192, 137, 195, 127, 185, 135, 193, 142, 200, 145, 203, 136, 194, 143, 201, 150, 208, 153, 211, 144, 202, 151, 209, 158, 216, 161, 219, 152, 210, 159, 217, 166, 224, 169, 227, 160, 218, 167, 225, 170, 228, 174, 232, 168, 226, 172, 230, 162, 220, 171, 229, 173, 231, 164, 222, 154, 212, 163, 221, 165, 223, 156, 214, 146, 204, 155, 213, 157, 215, 148, 206, 138, 196, 147, 205, 149, 207, 140, 198, 130, 188, 139, 197, 141, 199, 132, 190, 122, 180, 131, 189, 133, 191, 124, 182, 118, 176, 123, 181, 129, 187, 121, 179)
	L = (1, 120)(2, 117)(3, 126)(4, 127)(5, 128)(6, 118)(7, 119)(8, 121)(9, 134)(10, 135)(11, 136)(12, 137)(13, 125)(14, 122)(15, 123)(16, 124)(17, 129)(18, 142)(19, 143)(20, 144)(21, 145)(22, 130)(23, 131)(24, 132)(25, 133)(26, 150)(27, 151)(28, 152)(29, 153)(30, 138)(31, 139)(32, 140)(33, 141)(34, 158)(35, 159)(36, 160)(37, 161)(38, 146)(39, 147)(40, 148)(41, 149)(42, 166)(43, 167)(44, 168)(45, 169)(46, 154)(47, 155)(48, 156)(49, 157)(50, 170)(51, 172)(52, 173)(53, 174)(54, 162)(55, 163)(56, 164)(57, 165)(58, 171)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116 ), ( 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.1338
Graph:: bipartite
	v = 3 e = 116 f = 59
	degree seq :: [ 58^2, 116 ]

E28.1272 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (Y2, Y1^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2, Y3^-1), Y2^-1 * Y1 * Y2^-3, Y2 * Y1 * Y2 * Y1^13, Y1^7 * Y2^-1 * Y1 * Y3^-7 * Y2^-1, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 14, 72, 22, 80, 30, 88, 38, 96, 46, 104, 54, 112, 53, 111, 45, 103, 37, 95, 29, 87, 21, 79, 13, 71, 9, 67, 17, 75, 25, 83, 33, 91, 41, 99, 49, 107, 57, 115, 51, 109, 43, 101, 35, 93, 27, 85, 19, 77, 11, 69, 4, 62)(3, 61, 7, 65, 15, 73, 23, 81, 31, 89, 39, 97, 47, 105, 55, 113, 52, 110, 44, 102, 36, 94, 28, 86, 20, 78, 12, 70, 5, 63, 8, 66, 16, 74, 24, 82, 32, 90, 40, 98, 48, 106, 56, 114, 58, 116, 50, 108, 42, 100, 34, 92, 26, 84, 18, 76, 10, 68)(117, 175, 119, 177, 125, 183, 124, 182, 118, 176, 123, 181, 133, 191, 132, 190, 122, 180, 131, 189, 141, 199, 140, 198, 130, 188, 139, 197, 149, 207, 148, 206, 138, 196, 147, 205, 157, 215, 156, 214, 146, 204, 155, 213, 165, 223, 164, 222, 154, 212, 163, 221, 173, 231, 172, 230, 162, 220, 171, 229, 167, 225, 174, 232, 170, 228, 168, 226, 159, 217, 166, 224, 169, 227, 160, 218, 151, 209, 158, 216, 161, 219, 152, 210, 143, 201, 150, 208, 153, 211, 144, 202, 135, 193, 142, 200, 145, 203, 136, 194, 127, 185, 134, 192, 137, 195, 128, 186, 120, 178, 126, 184, 129, 187, 121, 179)
	L = (1, 120)(2, 117)(3, 126)(4, 127)(5, 128)(6, 118)(7, 119)(8, 121)(9, 129)(10, 134)(11, 135)(12, 136)(13, 137)(14, 122)(15, 123)(16, 124)(17, 125)(18, 142)(19, 143)(20, 144)(21, 145)(22, 130)(23, 131)(24, 132)(25, 133)(26, 150)(27, 151)(28, 152)(29, 153)(30, 138)(31, 139)(32, 140)(33, 141)(34, 158)(35, 159)(36, 160)(37, 161)(38, 146)(39, 147)(40, 148)(41, 149)(42, 166)(43, 167)(44, 168)(45, 169)(46, 154)(47, 155)(48, 156)(49, 157)(50, 174)(51, 173)(52, 171)(53, 170)(54, 162)(55, 163)(56, 164)(57, 165)(58, 172)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116 ), ( 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.1341
Graph:: bipartite
	v = 3 e = 116 f = 59
	degree seq :: [ 58^2, 116 ]

E28.1273 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y1 * Y3, Y1 * Y2 * Y3 * Y2^-1, (Y2, Y1^-1), (Y3^-1, Y2^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1 * Y2^-2 * Y1 * Y3 * Y2 * Y3 * Y2, Y3^3 * Y2 * Y3 * Y2^3 * Y3, Y1^4 * Y2^-1 * Y1 * Y2^-3, Y2^-3 * Y3 * Y2^-7 * Y1^-1, Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 14, 72, 26, 84, 33, 91, 45, 103, 54, 112, 57, 115, 48, 106, 39, 97, 24, 82, 13, 71, 18, 76, 30, 88, 35, 93, 20, 78, 9, 67, 17, 75, 29, 87, 43, 101, 52, 110, 56, 114, 50, 108, 41, 99, 37, 95, 22, 80, 11, 69, 4, 62)(3, 61, 7, 65, 15, 73, 27, 85, 42, 100, 46, 104, 55, 113, 51, 109, 47, 105, 38, 96, 23, 81, 12, 70, 5, 63, 8, 66, 16, 74, 28, 86, 34, 92, 19, 77, 31, 89, 44, 102, 53, 111, 58, 116, 49, 107, 40, 98, 25, 83, 32, 90, 36, 94, 21, 79, 10, 68)(117, 175, 119, 177, 125, 183, 135, 193, 149, 207, 162, 220, 172, 230, 165, 223, 155, 213, 139, 197, 127, 185, 137, 195, 151, 209, 144, 202, 130, 188, 143, 201, 159, 217, 169, 227, 173, 231, 163, 221, 153, 211, 148, 206, 134, 192, 124, 182, 118, 176, 123, 181, 133, 191, 147, 205, 161, 219, 171, 229, 166, 224, 156, 214, 140, 198, 128, 186, 120, 178, 126, 184, 136, 194, 150, 208, 142, 200, 158, 216, 168, 226, 174, 232, 164, 222, 154, 212, 138, 196, 152, 210, 146, 204, 132, 190, 122, 180, 131, 189, 145, 203, 160, 218, 170, 228, 167, 225, 157, 215, 141, 199, 129, 187, 121, 179)
	L = (1, 120)(2, 117)(3, 126)(4, 127)(5, 128)(6, 118)(7, 119)(8, 121)(9, 136)(10, 137)(11, 138)(12, 139)(13, 140)(14, 122)(15, 123)(16, 124)(17, 125)(18, 129)(19, 150)(20, 151)(21, 152)(22, 153)(23, 154)(24, 155)(25, 156)(26, 130)(27, 131)(28, 132)(29, 133)(30, 134)(31, 135)(32, 141)(33, 142)(34, 144)(35, 146)(36, 148)(37, 157)(38, 163)(39, 164)(40, 165)(41, 166)(42, 143)(43, 145)(44, 147)(45, 149)(46, 158)(47, 167)(48, 173)(49, 174)(50, 172)(51, 171)(52, 159)(53, 160)(54, 161)(55, 162)(56, 168)(57, 170)(58, 169)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116 ), ( 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.1322
Graph:: bipartite
	v = 3 e = 116 f = 59
	degree seq :: [ 58^2, 116 ]

E28.1274 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y3)^2, (Y2^-1, Y1^-1), (Y3^-1, Y2^-1), (R * Y1)^2, (R * Y2)^2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y3, Y2 * Y1 * Y2^2 * Y1 * Y2 * Y3^-3, Y1^4 * Y2 * Y1 * Y2^3, Y2^3 * Y3 * Y2^7 * Y1^-1, Y1^2 * Y2^-1 * Y1 * Y2^-1 * Y1^2 * Y3^-2 * Y2^-4, Y2^-1 * Y1 * Y3^-1 * Y2^-3 * Y1 * Y3^-1 * Y2^-3 * Y1 * Y3^-1 * Y2^-3 * Y1 * Y3^-1 * Y2^-3 * Y1 * Y3^-1 * Y2^-3 * Y1 * Y3^-1 * Y2^-3 * Y1 * Y3^-1 * Y2^-3 * Y1 * Y3^-1, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 14, 72, 26, 84, 41, 99, 45, 103, 54, 112, 58, 116, 49, 107, 35, 93, 20, 78, 9, 67, 17, 75, 29, 87, 39, 97, 24, 82, 13, 71, 18, 76, 30, 88, 43, 101, 52, 110, 56, 114, 47, 105, 33, 91, 37, 95, 22, 80, 11, 69, 4, 62)(3, 61, 7, 65, 15, 73, 27, 85, 40, 98, 25, 83, 32, 90, 44, 102, 53, 111, 57, 115, 48, 106, 34, 92, 19, 77, 31, 89, 38, 96, 23, 81, 12, 70, 5, 63, 8, 66, 16, 74, 28, 86, 42, 100, 51, 109, 55, 113, 46, 104, 50, 108, 36, 94, 21, 79, 10, 68)(117, 175, 119, 177, 125, 183, 135, 193, 149, 207, 162, 220, 170, 228, 160, 218, 146, 204, 132, 190, 122, 180, 131, 189, 145, 203, 154, 212, 138, 196, 152, 210, 165, 223, 173, 231, 168, 226, 158, 216, 142, 200, 156, 214, 140, 198, 128, 186, 120, 178, 126, 184, 136, 194, 150, 208, 163, 221, 171, 229, 161, 219, 148, 206, 134, 192, 124, 182, 118, 176, 123, 181, 133, 191, 147, 205, 153, 211, 166, 224, 174, 232, 169, 227, 159, 217, 144, 202, 130, 188, 143, 201, 155, 213, 139, 197, 127, 185, 137, 195, 151, 209, 164, 222, 172, 230, 167, 225, 157, 215, 141, 199, 129, 187, 121, 179)
	L = (1, 120)(2, 117)(3, 126)(4, 127)(5, 128)(6, 118)(7, 119)(8, 121)(9, 136)(10, 137)(11, 138)(12, 139)(13, 140)(14, 122)(15, 123)(16, 124)(17, 125)(18, 129)(19, 150)(20, 151)(21, 152)(22, 153)(23, 154)(24, 155)(25, 156)(26, 130)(27, 131)(28, 132)(29, 133)(30, 134)(31, 135)(32, 141)(33, 163)(34, 164)(35, 165)(36, 166)(37, 149)(38, 147)(39, 145)(40, 143)(41, 142)(42, 144)(43, 146)(44, 148)(45, 157)(46, 171)(47, 172)(48, 173)(49, 174)(50, 162)(51, 158)(52, 159)(53, 160)(54, 161)(55, 167)(56, 168)(57, 169)(58, 170)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116 ), ( 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.1325
Graph:: bipartite
	v = 3 e = 116 f = 59
	degree seq :: [ 58^2, 116 ]

E28.1275 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y1^-1 * Y3^-1, (R * Y2)^2, (R * Y3)^2, (Y2, Y1^-1), (Y2, Y3^-1), (R * Y1)^2, Y2^4 * Y3^-1 * Y2^2, Y1^-5 * Y3^4 * Y2^-1 * Y3 * Y2^-1, Y3^-5 * Y2^-1 * Y1 * Y3^-3 * Y2^-3, Y2^-1 * Y1^19 * Y2^-1, Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^3 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 14, 72, 26, 84, 38, 96, 50, 108, 49, 107, 37, 95, 24, 82, 13, 71, 18, 76, 30, 88, 42, 100, 54, 112, 57, 115, 45, 103, 33, 91, 20, 78, 9, 67, 17, 75, 29, 87, 41, 99, 53, 111, 47, 105, 35, 93, 22, 80, 11, 69, 4, 62)(3, 61, 7, 65, 15, 73, 27, 85, 39, 97, 51, 109, 48, 106, 36, 94, 23, 81, 12, 70, 5, 63, 8, 66, 16, 74, 28, 86, 40, 98, 52, 110, 56, 114, 44, 102, 32, 90, 19, 77, 25, 83, 31, 89, 43, 101, 55, 113, 58, 116, 46, 104, 34, 92, 21, 79, 10, 68)(117, 175, 119, 177, 125, 183, 135, 193, 140, 198, 128, 186, 120, 178, 126, 184, 136, 194, 148, 206, 153, 211, 139, 197, 127, 185, 137, 195, 149, 207, 160, 218, 165, 223, 152, 210, 138, 196, 150, 208, 161, 219, 172, 230, 166, 224, 164, 222, 151, 209, 162, 220, 173, 231, 168, 226, 154, 212, 167, 225, 163, 221, 174, 232, 170, 228, 156, 214, 142, 200, 155, 213, 169, 227, 171, 229, 158, 216, 144, 202, 130, 188, 143, 201, 157, 215, 159, 217, 146, 204, 132, 190, 122, 180, 131, 189, 145, 203, 147, 205, 134, 192, 124, 182, 118, 176, 123, 181, 133, 191, 141, 199, 129, 187, 121, 179)
	L = (1, 120)(2, 117)(3, 126)(4, 127)(5, 128)(6, 118)(7, 119)(8, 121)(9, 136)(10, 137)(11, 138)(12, 139)(13, 140)(14, 122)(15, 123)(16, 124)(17, 125)(18, 129)(19, 148)(20, 149)(21, 150)(22, 151)(23, 152)(24, 153)(25, 135)(26, 130)(27, 131)(28, 132)(29, 133)(30, 134)(31, 141)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 142)(39, 143)(40, 144)(41, 145)(42, 146)(43, 147)(44, 172)(45, 173)(46, 174)(47, 169)(48, 167)(49, 166)(50, 154)(51, 155)(52, 156)(53, 157)(54, 158)(55, 159)(56, 168)(57, 170)(58, 171)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116 ), ( 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.1343
Graph:: bipartite
	v = 3 e = 116 f = 59
	degree seq :: [ 58^2, 116 ]

E28.1276 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y2 * Y1^-1 * Y2^-1 * Y3^-1, (R * Y2)^2, Y2 * Y3 * Y2^-1 * Y1, (R * Y1)^2, (R * Y3)^2, Y2^2 * Y1^-1 * Y2^4, Y1^4 * Y3^-2 * Y2^-1 * Y1^3 * Y2^-1 * Y3^-1, Y1^29, (Y2^-1 * Y1^-1)^58 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 14, 72, 26, 84, 38, 96, 50, 108, 44, 102, 32, 90, 20, 78, 9, 67, 17, 75, 29, 87, 41, 99, 53, 111, 57, 115, 48, 106, 36, 94, 24, 82, 13, 71, 18, 76, 30, 88, 42, 100, 54, 112, 46, 104, 34, 92, 22, 80, 11, 69, 4, 62)(3, 61, 7, 65, 15, 73, 27, 85, 39, 97, 51, 109, 58, 116, 49, 107, 37, 95, 25, 83, 19, 77, 31, 89, 43, 101, 55, 113, 56, 114, 47, 105, 35, 93, 23, 81, 12, 70, 5, 63, 8, 66, 16, 74, 28, 86, 40, 98, 52, 110, 45, 103, 33, 91, 21, 79, 10, 68)(117, 175, 119, 177, 125, 183, 135, 193, 134, 192, 124, 182, 118, 176, 123, 181, 133, 191, 147, 205, 146, 204, 132, 190, 122, 180, 131, 189, 145, 203, 159, 217, 158, 216, 144, 202, 130, 188, 143, 201, 157, 215, 171, 229, 170, 228, 156, 214, 142, 200, 155, 213, 169, 227, 172, 230, 162, 220, 168, 226, 154, 212, 167, 225, 173, 231, 163, 221, 150, 208, 161, 219, 166, 224, 174, 232, 164, 222, 151, 209, 138, 196, 149, 207, 160, 218, 165, 223, 152, 210, 139, 197, 127, 185, 137, 195, 148, 206, 153, 211, 140, 198, 128, 186, 120, 178, 126, 184, 136, 194, 141, 199, 129, 187, 121, 179)
	L = (1, 120)(2, 117)(3, 126)(4, 127)(5, 128)(6, 118)(7, 119)(8, 121)(9, 136)(10, 137)(11, 138)(12, 139)(13, 140)(14, 122)(15, 123)(16, 124)(17, 125)(18, 129)(19, 141)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 130)(27, 131)(28, 132)(29, 133)(30, 134)(31, 135)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 142)(39, 143)(40, 144)(41, 145)(42, 146)(43, 147)(44, 166)(45, 168)(46, 170)(47, 172)(48, 173)(49, 174)(50, 154)(51, 155)(52, 156)(53, 157)(54, 158)(55, 159)(56, 171)(57, 169)(58, 167)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116 ), ( 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.1340
Graph:: bipartite
	v = 3 e = 116 f = 59
	degree seq :: [ 58^2, 116 ]

E28.1277 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (Y3, Y2), (R * Y3)^2, (R * Y1)^2, (Y1^-1, Y2), (R * Y2)^2, Y3^3 * Y2 * Y3^2 * Y1^-1 * Y2 * Y1^-2, Y2 * Y1^-1 * Y3^3 * Y1^-3 * Y2 * Y1^-1, Y1 * Y2 * Y1 * Y2^2 * Y1 * Y2^2 * Y3^-2 * Y2, Y1^3 * Y2^-8, Y1^3 * Y2 * Y1^2 * Y2^5, Y1^-29, (Y3 * Y2^-1)^58 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 14, 72, 26, 84, 42, 100, 35, 93, 20, 78, 9, 67, 17, 75, 29, 87, 45, 103, 57, 115, 41, 99, 50, 108, 52, 110, 33, 91, 49, 107, 55, 113, 39, 97, 24, 82, 13, 71, 18, 76, 30, 88, 46, 104, 37, 95, 22, 80, 11, 69, 4, 62)(3, 61, 7, 65, 15, 73, 27, 85, 43, 101, 58, 116, 53, 111, 34, 92, 19, 77, 31, 89, 47, 105, 56, 114, 40, 98, 25, 83, 32, 90, 48, 106, 51, 109, 54, 112, 38, 96, 23, 81, 12, 70, 5, 63, 8, 66, 16, 74, 28, 86, 44, 102, 36, 94, 21, 79, 10, 68)(117, 175, 119, 177, 125, 183, 135, 193, 149, 207, 167, 225, 162, 220, 144, 202, 130, 188, 143, 201, 161, 219, 172, 230, 155, 213, 139, 197, 127, 185, 137, 195, 151, 209, 169, 227, 166, 224, 148, 206, 134, 192, 124, 182, 118, 176, 123, 181, 133, 191, 147, 205, 165, 223, 170, 228, 153, 211, 160, 218, 142, 200, 159, 217, 173, 231, 156, 214, 140, 198, 128, 186, 120, 178, 126, 184, 136, 194, 150, 208, 168, 226, 164, 222, 146, 204, 132, 190, 122, 180, 131, 189, 145, 203, 163, 221, 171, 229, 154, 212, 138, 196, 152, 210, 158, 216, 174, 232, 157, 215, 141, 199, 129, 187, 121, 179)
	L = (1, 120)(2, 117)(3, 126)(4, 127)(5, 128)(6, 118)(7, 119)(8, 121)(9, 136)(10, 137)(11, 138)(12, 139)(13, 140)(14, 122)(15, 123)(16, 124)(17, 125)(18, 129)(19, 150)(20, 151)(21, 152)(22, 153)(23, 154)(24, 155)(25, 156)(26, 130)(27, 131)(28, 132)(29, 133)(30, 134)(31, 135)(32, 141)(33, 168)(34, 169)(35, 158)(36, 160)(37, 162)(38, 170)(39, 171)(40, 172)(41, 173)(42, 142)(43, 143)(44, 144)(45, 145)(46, 146)(47, 147)(48, 148)(49, 149)(50, 157)(51, 164)(52, 166)(53, 174)(54, 167)(55, 165)(56, 163)(57, 161)(58, 159)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116 ), ( 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.1323
Graph:: bipartite
	v = 3 e = 116 f = 59
	degree seq :: [ 58^2, 116 ]

E28.1278 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y3^-1 * Y1^-1, Y2 * Y3^-1 * Y2^-1 * Y1^-1, (Y3, Y2), Y2^-1 * Y1 * Y2 * Y3, (R * Y1)^2, (R * Y2)^2, Y2^-1 * Y3^-1 * Y2 * Y1^-1, (R * Y3)^2, Y1^2 * Y2 * Y1^-2 * Y2^-1, Y1^-1 * Y2 * Y1^2 * Y2^-1 * Y1^-1, Y3 * Y2^-1 * Y3^-2 * Y2 * Y3, Y3^3 * Y2^-1 * Y1^-1 * Y3^2 * Y2^-1 * Y3 * Y1^-1, Y1^-4 * Y2^-1 * Y3^2 * Y1^-1 * Y2^-1 * Y3, Y1 * Y2 * Y3^-2 * Y2^7, Y1 * Y2^-4 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y3^-1, Y2^-1 * Y1^2 * Y2^-1 * Y1^2 * Y2^-1 * Y3^-1 * Y2^-3, Y2 * Y3^-1 * Y2 * Y1 * Y2^3 * Y1 * Y2^3, Y1^29, (Y2^-1 * Y1^-1)^58 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 14, 72, 26, 84, 42, 100, 39, 97, 24, 82, 13, 71, 18, 76, 30, 88, 46, 104, 52, 110, 33, 91, 49, 107, 57, 115, 41, 99, 50, 108, 54, 112, 35, 93, 20, 78, 9, 67, 17, 75, 29, 87, 45, 103, 37, 95, 22, 80, 11, 69, 4, 62)(3, 61, 7, 65, 15, 73, 27, 85, 43, 101, 38, 96, 23, 81, 12, 70, 5, 63, 8, 66, 16, 74, 28, 86, 44, 102, 51, 109, 56, 114, 40, 98, 25, 83, 32, 90, 48, 106, 53, 111, 34, 92, 19, 77, 31, 89, 47, 105, 58, 116, 55, 113, 36, 94, 21, 79, 10, 68)(117, 175, 119, 177, 125, 183, 135, 193, 149, 207, 167, 225, 158, 216, 154, 212, 138, 196, 152, 210, 170, 228, 164, 222, 146, 204, 132, 190, 122, 180, 131, 189, 145, 203, 163, 221, 173, 231, 156, 214, 140, 198, 128, 186, 120, 178, 126, 184, 136, 194, 150, 208, 168, 226, 160, 218, 142, 200, 159, 217, 153, 211, 171, 229, 166, 224, 148, 206, 134, 192, 124, 182, 118, 176, 123, 181, 133, 191, 147, 205, 165, 223, 172, 230, 155, 213, 139, 197, 127, 185, 137, 195, 151, 209, 169, 227, 162, 220, 144, 202, 130, 188, 143, 201, 161, 219, 174, 232, 157, 215, 141, 199, 129, 187, 121, 179)
	L = (1, 120)(2, 117)(3, 126)(4, 127)(5, 128)(6, 118)(7, 119)(8, 121)(9, 136)(10, 137)(11, 138)(12, 139)(13, 140)(14, 122)(15, 123)(16, 124)(17, 125)(18, 129)(19, 150)(20, 151)(21, 152)(22, 153)(23, 154)(24, 155)(25, 156)(26, 130)(27, 131)(28, 132)(29, 133)(30, 134)(31, 135)(32, 141)(33, 168)(34, 169)(35, 170)(36, 171)(37, 161)(38, 159)(39, 158)(40, 172)(41, 173)(42, 142)(43, 143)(44, 144)(45, 145)(46, 146)(47, 147)(48, 148)(49, 149)(50, 157)(51, 160)(52, 162)(53, 164)(54, 166)(55, 174)(56, 167)(57, 165)(58, 163)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116 ), ( 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.1320
Graph:: bipartite
	v = 3 e = 116 f = 59
	degree seq :: [ 58^2, 116 ]

E28.1279 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (Y3^-1, Y2^-1), (R * Y1)^2, (Y1^-1, Y2), (R * Y3)^2, (R * Y2)^2, Y1^5 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1, Y2 * Y1 * Y2^7, Y2^-1 * Y1 * Y2^-1 * Y1^2 * Y3^-4, Y2^3 * Y3 * Y1^-1 * Y2^-3 * Y3^-2, Y1 * Y2 * Y1 * Y2 * Y3^2 * Y2^2 * Y3^2 * Y2^2 * Y3^2 * Y2^2 * Y3^2 * Y2^2, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 14, 72, 26, 84, 35, 93, 20, 78, 9, 67, 17, 75, 29, 87, 43, 101, 52, 110, 55, 113, 47, 105, 33, 91, 41, 99, 46, 104, 54, 112, 56, 114, 50, 108, 39, 97, 24, 82, 13, 71, 18, 76, 30, 88, 37, 95, 22, 80, 11, 69, 4, 62)(3, 61, 7, 65, 15, 73, 27, 85, 42, 100, 48, 106, 34, 92, 19, 77, 31, 89, 44, 102, 53, 111, 58, 116, 57, 115, 51, 109, 40, 98, 25, 83, 32, 90, 45, 103, 49, 107, 38, 96, 23, 81, 12, 70, 5, 63, 8, 66, 16, 74, 28, 86, 36, 94, 21, 79, 10, 68)(117, 175, 119, 177, 125, 183, 135, 193, 149, 207, 156, 214, 140, 198, 128, 186, 120, 178, 126, 184, 136, 194, 150, 208, 163, 221, 167, 225, 155, 213, 139, 197, 127, 185, 137, 195, 151, 209, 164, 222, 171, 229, 173, 231, 166, 224, 154, 212, 138, 196, 152, 210, 142, 200, 158, 216, 168, 226, 174, 232, 172, 230, 165, 223, 153, 211, 144, 202, 130, 188, 143, 201, 159, 217, 169, 227, 170, 228, 161, 219, 146, 204, 132, 190, 122, 180, 131, 189, 145, 203, 160, 218, 162, 220, 148, 206, 134, 192, 124, 182, 118, 176, 123, 181, 133, 191, 147, 205, 157, 215, 141, 199, 129, 187, 121, 179)
	L = (1, 120)(2, 117)(3, 126)(4, 127)(5, 128)(6, 118)(7, 119)(8, 121)(9, 136)(10, 137)(11, 138)(12, 139)(13, 140)(14, 122)(15, 123)(16, 124)(17, 125)(18, 129)(19, 150)(20, 151)(21, 152)(22, 153)(23, 154)(24, 155)(25, 156)(26, 130)(27, 131)(28, 132)(29, 133)(30, 134)(31, 135)(32, 141)(33, 163)(34, 164)(35, 142)(36, 144)(37, 146)(38, 165)(39, 166)(40, 167)(41, 149)(42, 143)(43, 145)(44, 147)(45, 148)(46, 157)(47, 171)(48, 158)(49, 161)(50, 172)(51, 173)(52, 159)(53, 160)(54, 162)(55, 168)(56, 170)(57, 174)(58, 169)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116 ), ( 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.1337
Graph:: bipartite
	v = 3 e = 116 f = 59
	degree seq :: [ 58^2, 116 ]

E28.1280 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y2, Y1^-1), Y1 * Y2^2 * Y1^-1 * Y2^-2, Y2^2 * Y3^2 * Y2^-2 * Y3^-2, Y1^3 * Y2 * Y1 * Y2 * Y1 * Y3^-2, Y2^-1 * Y1 * Y2^-7, Y2 * Y1 * Y2 * Y1^2 * Y3^-4, Y1 * Y2^-1 * Y1 * Y2^-1 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 14, 72, 26, 84, 39, 97, 24, 82, 13, 71, 18, 76, 30, 88, 43, 101, 52, 110, 57, 115, 51, 109, 41, 99, 33, 91, 46, 104, 54, 112, 56, 114, 48, 106, 35, 93, 20, 78, 9, 67, 17, 75, 29, 87, 37, 95, 22, 80, 11, 69, 4, 62)(3, 61, 7, 65, 15, 73, 27, 85, 38, 96, 23, 81, 12, 70, 5, 63, 8, 66, 16, 74, 28, 86, 42, 100, 50, 108, 40, 98, 25, 83, 32, 90, 45, 103, 53, 111, 58, 116, 55, 113, 47, 105, 34, 92, 19, 77, 31, 89, 44, 102, 49, 107, 36, 94, 21, 79, 10, 68)(117, 175, 119, 177, 125, 183, 135, 193, 149, 207, 148, 206, 134, 192, 124, 182, 118, 176, 123, 181, 133, 191, 147, 205, 162, 220, 161, 219, 146, 204, 132, 190, 122, 180, 131, 189, 145, 203, 160, 218, 170, 228, 169, 227, 159, 217, 144, 202, 130, 188, 143, 201, 153, 211, 165, 223, 172, 230, 174, 232, 168, 226, 158, 216, 142, 200, 154, 212, 138, 196, 152, 210, 164, 222, 171, 229, 173, 231, 166, 224, 155, 213, 139, 197, 127, 185, 137, 195, 151, 209, 163, 221, 167, 225, 156, 214, 140, 198, 128, 186, 120, 178, 126, 184, 136, 194, 150, 208, 157, 215, 141, 199, 129, 187, 121, 179)
	L = (1, 120)(2, 117)(3, 126)(4, 127)(5, 128)(6, 118)(7, 119)(8, 121)(9, 136)(10, 137)(11, 138)(12, 139)(13, 140)(14, 122)(15, 123)(16, 124)(17, 125)(18, 129)(19, 150)(20, 151)(21, 152)(22, 153)(23, 154)(24, 155)(25, 156)(26, 130)(27, 131)(28, 132)(29, 133)(30, 134)(31, 135)(32, 141)(33, 157)(34, 163)(35, 164)(36, 165)(37, 145)(38, 143)(39, 142)(40, 166)(41, 167)(42, 144)(43, 146)(44, 147)(45, 148)(46, 149)(47, 171)(48, 172)(49, 160)(50, 158)(51, 173)(52, 159)(53, 161)(54, 162)(55, 174)(56, 170)(57, 168)(58, 169)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116 ), ( 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.1334
Graph:: bipartite
	v = 3 e = 116 f = 59
	degree seq :: [ 58^2, 116 ]

E28.1281 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y2)^2, (Y2, Y3^-1), Y3 * Y2 * Y3 * Y2 * Y3, Y2^-1 * Y1^2 * Y3^-1 * Y2^-1, Y3 * Y2^-1 * Y3 * Y2^-17, Y1^29, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 9, 67, 15, 73, 20, 78, 22, 80, 27, 85, 32, 90, 34, 92, 39, 97, 44, 102, 46, 104, 51, 109, 56, 114, 58, 116, 54, 112, 49, 107, 47, 105, 42, 100, 37, 95, 35, 93, 30, 88, 25, 83, 23, 81, 18, 76, 13, 71, 11, 69, 4, 62)(3, 61, 7, 65, 14, 72, 16, 74, 21, 79, 26, 84, 28, 86, 33, 91, 38, 96, 40, 98, 45, 103, 50, 108, 52, 110, 57, 115, 55, 113, 53, 111, 48, 106, 43, 101, 41, 99, 36, 94, 31, 89, 29, 87, 24, 82, 19, 77, 17, 75, 12, 70, 5, 63, 8, 66, 10, 68)(117, 175, 119, 177, 125, 183, 132, 190, 138, 196, 144, 202, 150, 208, 156, 214, 162, 220, 168, 226, 174, 232, 169, 227, 163, 221, 157, 215, 151, 209, 145, 203, 139, 197, 133, 191, 127, 185, 124, 182, 118, 176, 123, 181, 131, 189, 137, 195, 143, 201, 149, 207, 155, 213, 161, 219, 167, 225, 173, 231, 170, 228, 164, 222, 158, 216, 152, 210, 146, 204, 140, 198, 134, 192, 128, 186, 120, 178, 126, 184, 122, 180, 130, 188, 136, 194, 142, 200, 148, 206, 154, 212, 160, 218, 166, 224, 172, 230, 171, 229, 165, 223, 159, 217, 153, 211, 147, 205, 141, 199, 135, 193, 129, 187, 121, 179)
	L = (1, 120)(2, 117)(3, 126)(4, 127)(5, 128)(6, 118)(7, 119)(8, 121)(9, 122)(10, 124)(11, 129)(12, 133)(13, 134)(14, 123)(15, 125)(16, 130)(17, 135)(18, 139)(19, 140)(20, 131)(21, 132)(22, 136)(23, 141)(24, 145)(25, 146)(26, 137)(27, 138)(28, 142)(29, 147)(30, 151)(31, 152)(32, 143)(33, 144)(34, 148)(35, 153)(36, 157)(37, 158)(38, 149)(39, 150)(40, 154)(41, 159)(42, 163)(43, 164)(44, 155)(45, 156)(46, 160)(47, 165)(48, 169)(49, 170)(50, 161)(51, 162)(52, 166)(53, 171)(54, 174)(55, 173)(56, 167)(57, 168)(58, 172)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116 ), ( 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.1335
Graph:: bipartite
	v = 3 e = 116 f = 59
	degree seq :: [ 58^2, 116 ]

E28.1282 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1 * Y3, Y1 * Y3, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y2^-1), (Y2^-1, Y1), (R * Y2)^2, Y2 * Y1 * Y2 * Y3^-2, Y2^8 * Y3 * Y2^10 * Y1^-1, Y3^-27 * Y1^2, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 13, 71, 15, 73, 20, 78, 25, 83, 27, 85, 32, 90, 37, 95, 39, 97, 44, 102, 49, 107, 51, 109, 56, 114, 58, 116, 53, 111, 46, 104, 48, 106, 41, 99, 34, 92, 36, 94, 29, 87, 22, 80, 24, 82, 17, 75, 9, 67, 11, 69, 4, 62)(3, 61, 7, 65, 12, 70, 5, 63, 8, 66, 14, 72, 19, 77, 21, 79, 26, 84, 31, 89, 33, 91, 38, 96, 43, 101, 45, 103, 50, 108, 55, 113, 57, 115, 52, 110, 54, 112, 47, 105, 40, 98, 42, 100, 35, 93, 28, 86, 30, 88, 23, 81, 16, 74, 18, 76, 10, 68)(117, 175, 119, 177, 125, 183, 132, 190, 138, 196, 144, 202, 150, 208, 156, 214, 162, 220, 168, 226, 172, 230, 166, 224, 160, 218, 154, 212, 148, 206, 142, 200, 136, 194, 130, 188, 122, 180, 128, 186, 120, 178, 126, 184, 133, 191, 139, 197, 145, 203, 151, 209, 157, 215, 163, 221, 169, 227, 173, 231, 167, 225, 161, 219, 155, 213, 149, 207, 143, 201, 137, 195, 131, 189, 124, 182, 118, 176, 123, 181, 127, 185, 134, 192, 140, 198, 146, 204, 152, 210, 158, 216, 164, 222, 170, 228, 174, 232, 171, 229, 165, 223, 159, 217, 153, 211, 147, 205, 141, 199, 135, 193, 129, 187, 121, 179)
	L = (1, 120)(2, 117)(3, 126)(4, 127)(5, 128)(6, 118)(7, 119)(8, 121)(9, 133)(10, 134)(11, 125)(12, 123)(13, 122)(14, 124)(15, 129)(16, 139)(17, 140)(18, 132)(19, 130)(20, 131)(21, 135)(22, 145)(23, 146)(24, 138)(25, 136)(26, 137)(27, 141)(28, 151)(29, 152)(30, 144)(31, 142)(32, 143)(33, 147)(34, 157)(35, 158)(36, 150)(37, 148)(38, 149)(39, 153)(40, 163)(41, 164)(42, 156)(43, 154)(44, 155)(45, 159)(46, 169)(47, 170)(48, 162)(49, 160)(50, 161)(51, 165)(52, 173)(53, 174)(54, 168)(55, 166)(56, 167)(57, 171)(58, 172)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116 ), ( 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.1332
Graph:: bipartite
	v = 3 e = 116 f = 59
	degree seq :: [ 58^2, 116 ]

E28.1283 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^-1 * Y3^-1, Y1^-1 * Y3^-2 * Y1^-1, (R * Y2)^2, (R * Y1)^2, (Y2, Y1^-1), (R * Y3)^2, (Y3^-1, Y2), Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-2, Y1^-1 * Y2^-1 * Y3^2 * Y1^-1 * Y2^-1 * Y3 * Y1^-1, Y2^-9 * Y1^-1 * Y2^-1, Y1^2 * Y3^-1 * Y1 * Y2^-2 * Y3^-1 * Y2 * Y1 * Y2^3, Y3^-2 * Y1^2 * Y3^-2 * Y1^2 * Y3^-2 * Y1^2 * Y3^-2 * Y1^2 * Y3^-2 * Y1^2 * Y3^-2 * Y1^2 * Y3^-2 * Y1^2 * Y3^-2 * Y1^2 * Y3^-2 * Y1^2 * Y3^-2 * Y1^2 * Y3^-2 * Y1^2 * Y3^-2 * Y1^2 * Y3^-2 * Y1^2 * Y3^-2 * Y1^2 * Y3^-2 * Y1^2 * Y3^-2 * Y1^2 * Y3^-2 * Y1^2 * Y3^-2 * Y1^2 * Y3^-2 * Y1^2 * Y3^-2 * Y1^2 * Y3^-2 * Y1^2 * Y3^-2 * Y1^2 * Y3^-2 * Y1^2 * Y3^-2 * Y1^2 * Y3^-2 * Y1^2 * Y3^-2 * Y1^2 * Y3^-2 * Y1^2 * Y2^-2 * Y1^2 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 14, 72, 26, 84, 24, 82, 13, 71, 18, 76, 30, 88, 40, 98, 51, 109, 49, 107, 38, 96, 44, 102, 54, 112, 57, 115, 46, 104, 33, 91, 43, 101, 53, 111, 48, 106, 35, 93, 20, 78, 9, 67, 17, 75, 29, 87, 22, 80, 11, 69, 4, 62)(3, 61, 7, 65, 15, 73, 27, 85, 23, 81, 12, 70, 5, 63, 8, 66, 16, 74, 28, 86, 39, 97, 37, 95, 25, 83, 32, 90, 42, 100, 52, 110, 56, 114, 45, 103, 50, 108, 55, 113, 58, 116, 47, 105, 34, 92, 19, 77, 31, 89, 41, 99, 36, 94, 21, 79, 10, 68)(117, 175, 119, 177, 125, 183, 135, 193, 149, 207, 161, 219, 165, 223, 153, 211, 140, 198, 128, 186, 120, 178, 126, 184, 136, 194, 150, 208, 162, 220, 172, 230, 167, 225, 155, 213, 142, 200, 139, 197, 127, 185, 137, 195, 151, 209, 163, 221, 173, 231, 168, 226, 156, 214, 144, 202, 130, 188, 143, 201, 138, 196, 152, 210, 164, 222, 174, 232, 170, 228, 158, 216, 146, 204, 132, 190, 122, 180, 131, 189, 145, 203, 157, 215, 169, 227, 171, 229, 160, 218, 148, 206, 134, 192, 124, 182, 118, 176, 123, 181, 133, 191, 147, 205, 159, 217, 166, 224, 154, 212, 141, 199, 129, 187, 121, 179)
	L = (1, 120)(2, 117)(3, 126)(4, 127)(5, 128)(6, 118)(7, 119)(8, 121)(9, 136)(10, 137)(11, 138)(12, 139)(13, 140)(14, 122)(15, 123)(16, 124)(17, 125)(18, 129)(19, 150)(20, 151)(21, 152)(22, 145)(23, 143)(24, 142)(25, 153)(26, 130)(27, 131)(28, 132)(29, 133)(30, 134)(31, 135)(32, 141)(33, 162)(34, 163)(35, 164)(36, 157)(37, 155)(38, 165)(39, 144)(40, 146)(41, 147)(42, 148)(43, 149)(44, 154)(45, 172)(46, 173)(47, 174)(48, 169)(49, 167)(50, 161)(51, 156)(52, 158)(53, 159)(54, 160)(55, 166)(56, 168)(57, 170)(58, 171)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116 ), ( 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.1345
Graph:: bipartite
	v = 3 e = 116 f = 59
	degree seq :: [ 58^2, 116 ]

E28.1284 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (Y2^-1, Y3^-1), Y2 * Y3^-1 * Y2^-1 * Y1^-1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3 * Y2 * Y1^2 * Y2^-1 * Y3, Y2^-2 * Y3^-1 * Y2^2 * Y1^-1, Y3^2 * Y1^-1 * Y2 * Y3 * Y2 * Y1^-2, Y2^2 * Y1^-1 * Y2^8, Y1^2 * Y2^3 * Y1^2 * Y2^5 * Y3^-1, Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 14, 72, 26, 84, 20, 78, 9, 67, 17, 75, 29, 87, 40, 98, 51, 109, 46, 104, 33, 91, 43, 101, 53, 111, 57, 115, 49, 107, 38, 96, 44, 102, 54, 112, 47, 105, 36, 94, 24, 82, 13, 71, 18, 76, 30, 88, 22, 80, 11, 69, 4, 62)(3, 61, 7, 65, 15, 73, 27, 85, 39, 97, 34, 92, 19, 77, 31, 89, 41, 99, 52, 110, 58, 116, 50, 108, 45, 103, 55, 113, 56, 114, 48, 106, 37, 95, 25, 83, 32, 90, 42, 100, 35, 93, 23, 81, 12, 70, 5, 63, 8, 66, 16, 74, 28, 86, 21, 79, 10, 68)(117, 175, 119, 177, 125, 183, 135, 193, 149, 207, 161, 219, 160, 218, 148, 206, 134, 192, 124, 182, 118, 176, 123, 181, 133, 191, 147, 205, 159, 217, 171, 229, 170, 228, 158, 216, 146, 204, 132, 190, 122, 180, 131, 189, 145, 203, 157, 215, 169, 227, 172, 230, 163, 221, 151, 209, 138, 196, 144, 202, 130, 188, 143, 201, 156, 214, 168, 226, 173, 231, 164, 222, 152, 210, 139, 197, 127, 185, 137, 195, 142, 200, 155, 213, 167, 225, 174, 232, 165, 223, 153, 211, 140, 198, 128, 186, 120, 178, 126, 184, 136, 194, 150, 208, 162, 220, 166, 224, 154, 212, 141, 199, 129, 187, 121, 179)
	L = (1, 120)(2, 117)(3, 126)(4, 127)(5, 128)(6, 118)(7, 119)(8, 121)(9, 136)(10, 137)(11, 138)(12, 139)(13, 140)(14, 122)(15, 123)(16, 124)(17, 125)(18, 129)(19, 150)(20, 142)(21, 144)(22, 146)(23, 151)(24, 152)(25, 153)(26, 130)(27, 131)(28, 132)(29, 133)(30, 134)(31, 135)(32, 141)(33, 162)(34, 155)(35, 158)(36, 163)(37, 164)(38, 165)(39, 143)(40, 145)(41, 147)(42, 148)(43, 149)(44, 154)(45, 166)(46, 167)(47, 170)(48, 172)(49, 173)(50, 174)(51, 156)(52, 157)(53, 159)(54, 160)(55, 161)(56, 171)(57, 169)(58, 168)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116 ), ( 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.1342
Graph:: bipartite
	v = 3 e = 116 f = 59
	degree seq :: [ 58^2, 116 ]

E28.1285 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y2 * Y3^-1 * Y2^-1 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y2^-1), (Y1^-1, Y2), Y2^2 * Y1^2 * Y2 * Y3^-1 * Y2, Y2 * Y1 * Y2 * Y1 * Y2^2 * Y3^-1, Y3^3 * Y2 * Y3 * Y2 * Y3^9, Y1^4 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y3^-7, Y1^8 * Y3^-3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1, Y1^4 * Y2^-1 * Y1^3 * Y3^-6 * Y2^-1, Y2^-2 * Y3^-5 * Y2^-2 * Y3^-5 * Y2^-2, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 14, 72, 26, 84, 34, 92, 42, 100, 50, 108, 55, 113, 47, 105, 39, 97, 31, 89, 20, 78, 9, 67, 17, 75, 24, 82, 13, 71, 18, 76, 28, 86, 36, 94, 44, 102, 52, 110, 57, 115, 49, 107, 41, 99, 33, 91, 22, 80, 11, 69, 4, 62)(3, 61, 7, 65, 15, 73, 25, 83, 29, 87, 37, 95, 45, 103, 53, 111, 58, 116, 54, 112, 46, 104, 38, 96, 30, 88, 19, 77, 23, 81, 12, 70, 5, 63, 8, 66, 16, 74, 27, 85, 35, 93, 43, 101, 51, 109, 56, 114, 48, 106, 40, 98, 32, 90, 21, 79, 10, 68)(117, 175, 119, 177, 125, 183, 135, 193, 138, 196, 148, 206, 155, 213, 162, 220, 165, 223, 172, 230, 166, 224, 169, 227, 160, 218, 151, 209, 142, 200, 145, 203, 134, 192, 124, 182, 118, 176, 123, 181, 133, 191, 139, 197, 127, 185, 137, 195, 147, 205, 154, 212, 157, 215, 164, 222, 171, 229, 174, 232, 168, 226, 159, 217, 150, 208, 153, 211, 144, 202, 132, 190, 122, 180, 131, 189, 140, 198, 128, 186, 120, 178, 126, 184, 136, 194, 146, 204, 149, 207, 156, 214, 163, 221, 170, 228, 173, 231, 167, 225, 158, 216, 161, 219, 152, 210, 143, 201, 130, 188, 141, 199, 129, 187, 121, 179)
	L = (1, 120)(2, 117)(3, 126)(4, 127)(5, 128)(6, 118)(7, 119)(8, 121)(9, 136)(10, 137)(11, 138)(12, 139)(13, 140)(14, 122)(15, 123)(16, 124)(17, 125)(18, 129)(19, 146)(20, 147)(21, 148)(22, 149)(23, 135)(24, 133)(25, 131)(26, 130)(27, 132)(28, 134)(29, 141)(30, 154)(31, 155)(32, 156)(33, 157)(34, 142)(35, 143)(36, 144)(37, 145)(38, 162)(39, 163)(40, 164)(41, 165)(42, 150)(43, 151)(44, 152)(45, 153)(46, 170)(47, 171)(48, 172)(49, 173)(50, 158)(51, 159)(52, 160)(53, 161)(54, 174)(55, 166)(56, 167)(57, 168)(58, 169)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116 ), ( 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.1324
Graph:: bipartite
	v = 3 e = 116 f = 59
	degree seq :: [ 58^2, 116 ]

E28.1286 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (Y2^-1, Y1^-1), Y1 * Y2 * Y3 * Y2^-1, Y1 * Y2^-1 * Y3 * Y2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y1^-3 * Y2^4, Y2^-1 * Y3^-2 * Y2^-1 * Y3^-1 * Y2^-2, Y3^3 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y3^8, Y1^4 * Y3^-1 * Y2 * Y1 * Y3^-2 * Y2 * Y3^-5, Y1 * Y2^2 * Y3^-5 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y3^-5 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y3^3 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1, (Y2^-1 * Y1^-1)^58 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 14, 72, 26, 84, 34, 92, 42, 100, 50, 108, 56, 114, 48, 106, 40, 98, 32, 90, 24, 82, 13, 71, 18, 76, 20, 78, 9, 67, 17, 75, 28, 86, 36, 94, 44, 102, 52, 110, 54, 112, 46, 104, 38, 96, 30, 88, 22, 80, 11, 69, 4, 62)(3, 61, 7, 65, 15, 73, 27, 85, 35, 93, 43, 101, 51, 109, 55, 113, 47, 105, 39, 97, 31, 89, 23, 81, 12, 70, 5, 63, 8, 66, 16, 74, 19, 77, 29, 87, 37, 95, 45, 103, 53, 111, 58, 116, 57, 115, 49, 107, 41, 99, 33, 91, 25, 83, 21, 79, 10, 68)(117, 175, 119, 177, 125, 183, 135, 193, 130, 188, 143, 201, 152, 210, 161, 219, 158, 216, 167, 225, 170, 228, 173, 231, 164, 222, 155, 213, 146, 204, 149, 207, 140, 198, 128, 186, 120, 178, 126, 184, 136, 194, 132, 190, 122, 180, 131, 189, 144, 202, 153, 211, 150, 208, 159, 217, 168, 226, 174, 232, 172, 230, 163, 221, 154, 212, 157, 215, 148, 206, 139, 197, 127, 185, 137, 195, 134, 192, 124, 182, 118, 176, 123, 181, 133, 191, 145, 203, 142, 200, 151, 209, 160, 218, 169, 227, 166, 224, 171, 229, 162, 220, 165, 223, 156, 214, 147, 205, 138, 196, 141, 199, 129, 187, 121, 179)
	L = (1, 120)(2, 117)(3, 126)(4, 127)(5, 128)(6, 118)(7, 119)(8, 121)(9, 136)(10, 137)(11, 138)(12, 139)(13, 140)(14, 122)(15, 123)(16, 124)(17, 125)(18, 129)(19, 132)(20, 134)(21, 141)(22, 146)(23, 147)(24, 148)(25, 149)(26, 130)(27, 131)(28, 133)(29, 135)(30, 154)(31, 155)(32, 156)(33, 157)(34, 142)(35, 143)(36, 144)(37, 145)(38, 162)(39, 163)(40, 164)(41, 165)(42, 150)(43, 151)(44, 152)(45, 153)(46, 170)(47, 171)(48, 172)(49, 173)(50, 158)(51, 159)(52, 160)(53, 161)(54, 168)(55, 167)(56, 166)(57, 174)(58, 169)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116 ), ( 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.1327
Graph:: bipartite
	v = 3 e = 116 f = 59
	degree seq :: [ 58^2, 116 ]

E28.1287 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2, Y1^-1), (Y3^-1, Y2^-1), Y3^-2 * Y2 * Y1^-2 * Y2^-1, Y3^3 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y1^2 * Y2 * Y1 * Y3^-2, Y2^12 * Y1, Y2^5 * Y3 * Y2^5 * Y3^3, Y3 * Y2^-3 * Y3 * Y2^-2 * Y3 * Y2^-2 * Y3 * Y2^-2 * Y3 * Y2^-2 * Y3 * Y2^-3, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 14, 72, 24, 82, 13, 71, 18, 76, 27, 85, 36, 94, 44, 102, 35, 93, 39, 97, 47, 105, 56, 114, 50, 108, 55, 113, 58, 116, 52, 110, 41, 99, 30, 88, 38, 96, 43, 101, 32, 90, 20, 78, 9, 67, 17, 75, 22, 80, 11, 69, 4, 62)(3, 61, 7, 65, 15, 73, 23, 81, 12, 70, 5, 63, 8, 66, 16, 74, 26, 84, 34, 92, 25, 83, 29, 87, 37, 95, 46, 104, 54, 112, 45, 103, 49, 107, 57, 115, 51, 109, 40, 98, 48, 106, 53, 111, 42, 100, 31, 89, 19, 77, 28, 86, 33, 91, 21, 79, 10, 68)(117, 175, 119, 177, 125, 183, 135, 193, 146, 204, 156, 214, 166, 224, 170, 228, 160, 218, 150, 208, 140, 198, 128, 186, 120, 178, 126, 184, 136, 194, 147, 205, 157, 215, 167, 225, 172, 230, 162, 220, 152, 210, 142, 200, 130, 188, 139, 197, 127, 185, 137, 195, 148, 206, 158, 216, 168, 226, 173, 231, 163, 221, 153, 211, 143, 201, 132, 190, 122, 180, 131, 189, 138, 196, 149, 207, 159, 217, 169, 227, 174, 232, 165, 223, 155, 213, 145, 203, 134, 192, 124, 182, 118, 176, 123, 181, 133, 191, 144, 202, 154, 212, 164, 222, 171, 229, 161, 219, 151, 209, 141, 199, 129, 187, 121, 179)
	L = (1, 120)(2, 117)(3, 126)(4, 127)(5, 128)(6, 118)(7, 119)(8, 121)(9, 136)(10, 137)(11, 138)(12, 139)(13, 140)(14, 122)(15, 123)(16, 124)(17, 125)(18, 129)(19, 147)(20, 148)(21, 149)(22, 133)(23, 131)(24, 130)(25, 150)(26, 132)(27, 134)(28, 135)(29, 141)(30, 157)(31, 158)(32, 159)(33, 144)(34, 142)(35, 160)(36, 143)(37, 145)(38, 146)(39, 151)(40, 167)(41, 168)(42, 169)(43, 154)(44, 152)(45, 170)(46, 153)(47, 155)(48, 156)(49, 161)(50, 172)(51, 173)(52, 174)(53, 164)(54, 162)(55, 166)(56, 163)(57, 165)(58, 171)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116 ), ( 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.1331
Graph:: bipartite
	v = 3 e = 116 f = 59
	degree seq :: [ 58^2, 116 ]

E28.1288 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y1^-1, Y2), (Y3^-1, Y2^-1), Y1 * Y2^-1 * Y1 * Y2 * Y3^2, Y3 * Y2^2 * Y3^4, Y2^-1 * Y1^3 * Y3^-2 * Y2^-1, Y2^-11 * Y3^-1 * Y2^-1, Y3 * Y2^-1 * Y3 * Y2^-3 * Y3 * Y2^-6 * Y1^-1, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 14, 72, 20, 78, 9, 67, 17, 75, 27, 85, 36, 94, 41, 99, 30, 88, 38, 96, 47, 105, 56, 114, 55, 113, 50, 108, 58, 116, 53, 111, 44, 102, 35, 93, 39, 97, 42, 100, 33, 91, 24, 82, 13, 71, 18, 76, 22, 80, 11, 69, 4, 62)(3, 61, 7, 65, 15, 73, 26, 84, 31, 89, 19, 77, 28, 86, 37, 95, 46, 104, 51, 109, 40, 98, 48, 106, 57, 115, 54, 112, 45, 103, 49, 107, 52, 110, 43, 101, 34, 92, 25, 83, 29, 87, 32, 90, 23, 81, 12, 70, 5, 63, 8, 66, 16, 74, 21, 79, 10, 68)(117, 175, 119, 177, 125, 183, 135, 193, 146, 204, 156, 214, 166, 224, 165, 223, 155, 213, 145, 203, 134, 192, 124, 182, 118, 176, 123, 181, 133, 191, 144, 202, 154, 212, 164, 222, 174, 232, 168, 226, 158, 216, 148, 206, 138, 196, 132, 190, 122, 180, 131, 189, 143, 201, 153, 211, 163, 221, 173, 231, 169, 227, 159, 217, 149, 207, 139, 197, 127, 185, 137, 195, 130, 188, 142, 200, 152, 210, 162, 220, 172, 230, 170, 228, 160, 218, 150, 208, 140, 198, 128, 186, 120, 178, 126, 184, 136, 194, 147, 205, 157, 215, 167, 225, 171, 229, 161, 219, 151, 209, 141, 199, 129, 187, 121, 179)
	L = (1, 120)(2, 117)(3, 126)(4, 127)(5, 128)(6, 118)(7, 119)(8, 121)(9, 136)(10, 137)(11, 138)(12, 139)(13, 140)(14, 122)(15, 123)(16, 124)(17, 125)(18, 129)(19, 147)(20, 130)(21, 132)(22, 134)(23, 148)(24, 149)(25, 150)(26, 131)(27, 133)(28, 135)(29, 141)(30, 157)(31, 142)(32, 145)(33, 158)(34, 159)(35, 160)(36, 143)(37, 144)(38, 146)(39, 151)(40, 167)(41, 152)(42, 155)(43, 168)(44, 169)(45, 170)(46, 153)(47, 154)(48, 156)(49, 161)(50, 171)(51, 162)(52, 165)(53, 174)(54, 173)(55, 172)(56, 163)(57, 164)(58, 166)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116 ), ( 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.1328
Graph:: bipartite
	v = 3 e = 116 f = 59
	degree seq :: [ 58^2, 116 ]

E28.1289 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y2^-1), (R * Y1)^2, (Y2, Y1^-1), Y2 * Y3^2 * Y2^-1 * Y1^2, Y2 * Y3^2 * Y2^-1 * Y1^2, Y1^4 * Y2 * Y1^-1 * Y2^-1 * Y1^-2 * Y3, Y2^2 * Y3 * Y2 * Y3 * Y2^3 * Y1^-2, Y2 * Y1^-3 * Y2^5 * Y1^-1, Y1^2 * Y2 * Y1^2 * Y2^3 * Y1 * Y3^-2, Y1 * Y2 * Y1 * Y2 * Y1 * Y2^2 * Y1 * Y3^-3, Y2 * Y1 * Y2^2 * Y1 * Y2 * Y1 * Y3^-4, Y3 * Y1^-1 * Y2 * Y1^-3 * Y3 * Y2^-4 * Y3 * Y2^-1, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 14, 72, 26, 84, 42, 100, 56, 114, 41, 99, 50, 108, 35, 93, 20, 78, 9, 67, 17, 75, 29, 87, 45, 103, 54, 112, 39, 97, 24, 82, 13, 71, 18, 76, 30, 88, 46, 104, 33, 91, 49, 107, 52, 110, 37, 95, 22, 80, 11, 69, 4, 62)(3, 61, 7, 65, 15, 73, 27, 85, 43, 101, 55, 113, 40, 98, 25, 83, 32, 90, 48, 106, 34, 92, 19, 77, 31, 89, 47, 105, 53, 111, 38, 96, 23, 81, 12, 70, 5, 63, 8, 66, 16, 74, 28, 86, 44, 102, 57, 115, 58, 116, 51, 109, 36, 94, 21, 79, 10, 68)(117, 175, 119, 177, 125, 183, 135, 193, 149, 207, 160, 218, 142, 200, 159, 217, 170, 228, 154, 212, 138, 196, 152, 210, 166, 224, 148, 206, 134, 192, 124, 182, 118, 176, 123, 181, 133, 191, 147, 205, 165, 223, 173, 231, 158, 216, 171, 229, 155, 213, 139, 197, 127, 185, 137, 195, 151, 209, 164, 222, 146, 204, 132, 190, 122, 180, 131, 189, 145, 203, 163, 221, 168, 226, 174, 232, 172, 230, 156, 214, 140, 198, 128, 186, 120, 178, 126, 184, 136, 194, 150, 208, 162, 220, 144, 202, 130, 188, 143, 201, 161, 219, 169, 227, 153, 211, 167, 225, 157, 215, 141, 199, 129, 187, 121, 179)
	L = (1, 120)(2, 117)(3, 126)(4, 127)(5, 128)(6, 118)(7, 119)(8, 121)(9, 136)(10, 137)(11, 138)(12, 139)(13, 140)(14, 122)(15, 123)(16, 124)(17, 125)(18, 129)(19, 150)(20, 151)(21, 152)(22, 153)(23, 154)(24, 155)(25, 156)(26, 130)(27, 131)(28, 132)(29, 133)(30, 134)(31, 135)(32, 141)(33, 162)(34, 164)(35, 166)(36, 167)(37, 168)(38, 169)(39, 170)(40, 171)(41, 172)(42, 142)(43, 143)(44, 144)(45, 145)(46, 146)(47, 147)(48, 148)(49, 149)(50, 157)(51, 174)(52, 165)(53, 163)(54, 161)(55, 159)(56, 158)(57, 160)(58, 173)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116 ), ( 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.1339
Graph:: bipartite
	v = 3 e = 116 f = 59
	degree seq :: [ 58^2, 116 ]

E28.1290 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1^-1 * Y2 * Y3^-1, (R * Y2)^2, Y3^2 * Y2^-1 * Y3^-2 * Y2, Y2^-5 * Y3^4 * Y2^-1, Y2^-1 * Y1^-1 * Y2^-2 * Y3 * Y2^-3 * Y1^-2, Y2^-2 * Y3^-3 * Y2 * Y1^-1 * Y2 * Y1^-2, Y1^2 * Y2^-2 * Y1^2 * Y2^-1 * Y1 * Y2^-1 * Y3^-2, Y1^2 * Y2^-2 * Y3^-1 * Y2^-1 * Y3^-4 * Y2^-1, Y1^4 * Y2^-2 * Y3^-3 * Y2^-2, Y3 * Y2^3 * Y1^-1 * Y3^4 * Y2^-1 * Y3 * Y2^2, Y2^-1 * Y1^2 * Y2^-4 * Y1 * Y2^-4 * Y1 * Y2^-3 * Y3^-1 * Y2^2 * Y1^-2, Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 14, 72, 26, 84, 42, 100, 52, 110, 33, 91, 49, 107, 39, 97, 24, 82, 13, 71, 18, 76, 30, 88, 46, 104, 54, 112, 35, 93, 20, 78, 9, 67, 17, 75, 29, 87, 45, 103, 41, 99, 50, 108, 56, 114, 37, 95, 22, 80, 11, 69, 4, 62)(3, 61, 7, 65, 15, 73, 27, 85, 43, 101, 57, 115, 58, 116, 51, 109, 38, 96, 23, 81, 12, 70, 5, 63, 8, 66, 16, 74, 28, 86, 44, 102, 53, 111, 34, 92, 19, 77, 31, 89, 47, 105, 40, 98, 25, 83, 32, 90, 48, 106, 55, 113, 36, 94, 21, 79, 10, 68)(117, 175, 119, 177, 125, 183, 135, 193, 149, 207, 167, 225, 153, 211, 171, 229, 162, 220, 144, 202, 130, 188, 143, 201, 161, 219, 156, 214, 140, 198, 128, 186, 120, 178, 126, 184, 136, 194, 150, 208, 168, 226, 174, 232, 172, 230, 164, 222, 146, 204, 132, 190, 122, 180, 131, 189, 145, 203, 163, 221, 155, 213, 139, 197, 127, 185, 137, 195, 151, 209, 169, 227, 158, 216, 173, 231, 166, 224, 148, 206, 134, 192, 124, 182, 118, 176, 123, 181, 133, 191, 147, 205, 165, 223, 154, 212, 138, 196, 152, 210, 170, 228, 160, 218, 142, 200, 159, 217, 157, 215, 141, 199, 129, 187, 121, 179)
	L = (1, 120)(2, 117)(3, 126)(4, 127)(5, 128)(6, 118)(7, 119)(8, 121)(9, 136)(10, 137)(11, 138)(12, 139)(13, 140)(14, 122)(15, 123)(16, 124)(17, 125)(18, 129)(19, 150)(20, 151)(21, 152)(22, 153)(23, 154)(24, 155)(25, 156)(26, 130)(27, 131)(28, 132)(29, 133)(30, 134)(31, 135)(32, 141)(33, 168)(34, 169)(35, 170)(36, 171)(37, 172)(38, 167)(39, 165)(40, 163)(41, 161)(42, 142)(43, 143)(44, 144)(45, 145)(46, 146)(47, 147)(48, 148)(49, 149)(50, 157)(51, 174)(52, 158)(53, 160)(54, 162)(55, 164)(56, 166)(57, 159)(58, 173)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116 ), ( 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.1336
Graph:: bipartite
	v = 3 e = 116 f = 59
	degree seq :: [ 58^2, 116 ]

E28.1291 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y1^-1 * Y2 * Y1^-3, Y3^3 * Y2^2 * Y1^-1, Y2 * Y3^-1 * Y2^13, Y2 * Y1^-1 * Y2 * Y1^26, Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 14, 72, 9, 67, 17, 75, 24, 82, 31, 89, 27, 85, 33, 91, 40, 98, 47, 105, 43, 101, 49, 107, 56, 114, 58, 116, 53, 111, 46, 104, 50, 108, 44, 102, 37, 95, 30, 88, 34, 92, 28, 86, 21, 79, 13, 71, 18, 76, 11, 69, 4, 62)(3, 61, 7, 65, 15, 73, 23, 81, 19, 77, 25, 83, 32, 90, 39, 97, 35, 93, 41, 99, 48, 106, 55, 113, 51, 109, 54, 112, 57, 115, 52, 110, 45, 103, 38, 96, 42, 100, 36, 94, 29, 87, 22, 80, 26, 84, 20, 78, 12, 70, 5, 63, 8, 66, 16, 74, 10, 68)(117, 175, 119, 177, 125, 183, 135, 193, 143, 201, 151, 209, 159, 217, 167, 225, 169, 227, 161, 219, 153, 211, 145, 203, 137, 195, 128, 186, 120, 178, 126, 184, 130, 188, 139, 197, 147, 205, 155, 213, 163, 221, 171, 229, 174, 232, 168, 226, 160, 218, 152, 210, 144, 202, 136, 194, 127, 185, 132, 190, 122, 180, 131, 189, 140, 198, 148, 206, 156, 214, 164, 222, 172, 230, 173, 231, 166, 224, 158, 216, 150, 208, 142, 200, 134, 192, 124, 182, 118, 176, 123, 181, 133, 191, 141, 199, 149, 207, 157, 215, 165, 223, 170, 228, 162, 220, 154, 212, 146, 204, 138, 196, 129, 187, 121, 179)
	L = (1, 120)(2, 117)(3, 126)(4, 127)(5, 128)(6, 118)(7, 119)(8, 121)(9, 130)(10, 132)(11, 134)(12, 136)(13, 137)(14, 122)(15, 123)(16, 124)(17, 125)(18, 129)(19, 139)(20, 142)(21, 144)(22, 145)(23, 131)(24, 133)(25, 135)(26, 138)(27, 147)(28, 150)(29, 152)(30, 153)(31, 140)(32, 141)(33, 143)(34, 146)(35, 155)(36, 158)(37, 160)(38, 161)(39, 148)(40, 149)(41, 151)(42, 154)(43, 163)(44, 166)(45, 168)(46, 169)(47, 156)(48, 157)(49, 159)(50, 162)(51, 171)(52, 173)(53, 174)(54, 167)(55, 164)(56, 165)(57, 170)(58, 172)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116 ), ( 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.1321
Graph:: bipartite
	v = 3 e = 116 f = 59
	degree seq :: [ 58^2, 116 ]

E28.1292 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (Y2, Y3^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2, Y1^-1), Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y1^-1, Y3 * Y2^-2 * Y1^-3, Y2^5 * Y3 * Y2^9, Y1^2 * Y2^-1 * Y1 * Y2^-5 * Y3^-2 * Y2^-6, Y2^-2 * Y1^25, Y1^2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y2^-2 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 14, 72, 13, 71, 18, 76, 24, 82, 31, 89, 30, 88, 34, 92, 40, 98, 47, 105, 46, 104, 50, 108, 56, 114, 58, 116, 52, 110, 43, 101, 49, 107, 45, 103, 36, 94, 27, 85, 33, 91, 29, 87, 20, 78, 9, 67, 17, 75, 11, 69, 4, 62)(3, 61, 7, 65, 15, 73, 12, 70, 5, 63, 8, 66, 16, 74, 23, 81, 22, 80, 26, 84, 32, 90, 39, 97, 38, 96, 42, 100, 48, 106, 55, 113, 54, 112, 51, 109, 57, 115, 53, 111, 44, 102, 35, 93, 41, 99, 37, 95, 28, 86, 19, 77, 25, 83, 21, 79, 10, 68)(117, 175, 119, 177, 125, 183, 135, 193, 143, 201, 151, 209, 159, 217, 167, 225, 166, 224, 158, 216, 150, 208, 142, 200, 134, 192, 124, 182, 118, 176, 123, 181, 133, 191, 141, 199, 149, 207, 157, 215, 165, 223, 173, 231, 172, 230, 164, 222, 156, 214, 148, 206, 140, 198, 132, 190, 122, 180, 131, 189, 127, 185, 137, 195, 145, 203, 153, 211, 161, 219, 169, 227, 174, 232, 171, 229, 163, 221, 155, 213, 147, 205, 139, 197, 130, 188, 128, 186, 120, 178, 126, 184, 136, 194, 144, 202, 152, 210, 160, 218, 168, 226, 170, 228, 162, 220, 154, 212, 146, 204, 138, 196, 129, 187, 121, 179)
	L = (1, 120)(2, 117)(3, 126)(4, 127)(5, 128)(6, 118)(7, 119)(8, 121)(9, 136)(10, 137)(11, 133)(12, 131)(13, 130)(14, 122)(15, 123)(16, 124)(17, 125)(18, 129)(19, 144)(20, 145)(21, 141)(22, 139)(23, 132)(24, 134)(25, 135)(26, 138)(27, 152)(28, 153)(29, 149)(30, 147)(31, 140)(32, 142)(33, 143)(34, 146)(35, 160)(36, 161)(37, 157)(38, 155)(39, 148)(40, 150)(41, 151)(42, 154)(43, 168)(44, 169)(45, 165)(46, 163)(47, 156)(48, 158)(49, 159)(50, 162)(51, 170)(52, 174)(53, 173)(54, 171)(55, 164)(56, 166)(57, 167)(58, 172)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116 ), ( 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.1319
Graph:: bipartite
	v = 3 e = 116 f = 59
	degree seq :: [ 58^2, 116 ]

E28.1293 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, Y2^3 * Y1^-1, R * Y2 * R * Y3, (R * Y1)^2, Y2 * Y1^19, (Y3^-1 * Y1^-1)^29 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 12, 70, 18, 76, 24, 82, 30, 88, 36, 94, 42, 100, 48, 106, 54, 112, 53, 111, 47, 105, 41, 99, 35, 93, 29, 87, 23, 81, 17, 75, 11, 69, 5, 63, 8, 66, 14, 72, 20, 78, 26, 84, 32, 90, 38, 96, 44, 102, 50, 108, 56, 114, 58, 116, 57, 115, 51, 109, 45, 103, 39, 97, 33, 91, 27, 85, 21, 79, 15, 73, 9, 67, 3, 61, 7, 65, 13, 71, 19, 77, 25, 83, 31, 89, 37, 95, 43, 101, 49, 107, 55, 113, 52, 110, 46, 104, 40, 98, 34, 92, 28, 86, 22, 80, 16, 74, 10, 68, 4, 62)(117, 175, 119, 177, 124, 182, 118, 176, 123, 181, 130, 188, 122, 180, 129, 187, 136, 194, 128, 186, 135, 193, 142, 200, 134, 192, 141, 199, 148, 206, 140, 198, 147, 205, 154, 212, 146, 204, 153, 211, 160, 218, 152, 210, 159, 217, 166, 224, 158, 216, 165, 223, 172, 230, 164, 222, 171, 229, 174, 232, 170, 228, 168, 226, 173, 231, 169, 227, 162, 220, 167, 225, 163, 221, 156, 214, 161, 219, 157, 215, 150, 208, 155, 213, 151, 209, 144, 202, 149, 207, 145, 203, 138, 196, 143, 201, 139, 197, 132, 190, 137, 195, 133, 191, 126, 184, 131, 189, 127, 185, 120, 178, 125, 183, 121, 179)
	L = (1, 119)(2, 123)(3, 124)(4, 125)(5, 117)(6, 129)(7, 130)(8, 118)(9, 121)(10, 131)(11, 120)(12, 135)(13, 136)(14, 122)(15, 127)(16, 137)(17, 126)(18, 141)(19, 142)(20, 128)(21, 133)(22, 143)(23, 132)(24, 147)(25, 148)(26, 134)(27, 139)(28, 149)(29, 138)(30, 153)(31, 154)(32, 140)(33, 145)(34, 155)(35, 144)(36, 159)(37, 160)(38, 146)(39, 151)(40, 161)(41, 150)(42, 165)(43, 166)(44, 152)(45, 157)(46, 167)(47, 156)(48, 171)(49, 172)(50, 158)(51, 163)(52, 173)(53, 162)(54, 168)(55, 174)(56, 164)(57, 169)(58, 170)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1312
Graph:: bipartite
	v = 2 e = 116 f = 60
	degree seq :: [ 116^2 ]

E28.1294 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, Y2^-3 * Y1^-1, R * Y2 * R * Y3, (R * Y1)^2, Y2 * Y1^-19, (Y3^-1 * Y1^-1)^29 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 12, 70, 18, 76, 24, 82, 30, 88, 36, 94, 42, 100, 48, 106, 54, 112, 52, 110, 46, 104, 40, 98, 34, 92, 28, 86, 22, 80, 16, 74, 10, 68, 3, 61, 7, 65, 13, 71, 19, 77, 25, 83, 31, 89, 37, 95, 43, 101, 49, 107, 55, 113, 58, 116, 57, 115, 51, 109, 45, 103, 39, 97, 33, 91, 27, 85, 21, 79, 15, 73, 9, 67, 5, 63, 8, 66, 14, 72, 20, 78, 26, 84, 32, 90, 38, 96, 44, 102, 50, 108, 56, 114, 53, 111, 47, 105, 41, 99, 35, 93, 29, 87, 23, 81, 17, 75, 11, 69, 4, 62)(117, 175, 119, 177, 125, 183, 120, 178, 126, 184, 131, 189, 127, 185, 132, 190, 137, 195, 133, 191, 138, 196, 143, 201, 139, 197, 144, 202, 149, 207, 145, 203, 150, 208, 155, 213, 151, 209, 156, 214, 161, 219, 157, 215, 162, 220, 167, 225, 163, 221, 168, 226, 173, 231, 169, 227, 170, 228, 174, 232, 172, 230, 164, 222, 171, 229, 166, 224, 158, 216, 165, 223, 160, 218, 152, 210, 159, 217, 154, 212, 146, 204, 153, 211, 148, 206, 140, 198, 147, 205, 142, 200, 134, 192, 141, 199, 136, 194, 128, 186, 135, 193, 130, 188, 122, 180, 129, 187, 124, 182, 118, 176, 123, 181, 121, 179)
	L = (1, 119)(2, 123)(3, 125)(4, 126)(5, 117)(6, 129)(7, 121)(8, 118)(9, 120)(10, 131)(11, 132)(12, 135)(13, 124)(14, 122)(15, 127)(16, 137)(17, 138)(18, 141)(19, 130)(20, 128)(21, 133)(22, 143)(23, 144)(24, 147)(25, 136)(26, 134)(27, 139)(28, 149)(29, 150)(30, 153)(31, 142)(32, 140)(33, 145)(34, 155)(35, 156)(36, 159)(37, 148)(38, 146)(39, 151)(40, 161)(41, 162)(42, 165)(43, 154)(44, 152)(45, 157)(46, 167)(47, 168)(48, 171)(49, 160)(50, 158)(51, 163)(52, 173)(53, 170)(54, 174)(55, 166)(56, 164)(57, 169)(58, 172)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1318
Graph:: bipartite
	v = 2 e = 116 f = 60
	degree seq :: [ 116^2 ]

E28.1295 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2, Y1^-1), (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y2^2 * Y1 * Y2^-2, Y2^-2 * Y1 * Y2^-3, Y2^-1 * Y1^2 * Y2^-1 * Y1^10, (Y3^-1 * Y1^-1)^29 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 14, 72, 24, 82, 34, 92, 44, 102, 54, 112, 49, 107, 39, 97, 29, 87, 19, 77, 9, 67, 17, 75, 27, 85, 37, 95, 47, 105, 57, 115, 52, 110, 42, 100, 32, 90, 22, 80, 12, 70, 5, 63, 8, 66, 16, 74, 26, 84, 36, 94, 46, 104, 56, 114, 50, 108, 40, 98, 30, 88, 20, 78, 10, 68, 3, 61, 7, 65, 15, 73, 25, 83, 35, 93, 45, 103, 55, 113, 53, 111, 43, 101, 33, 91, 23, 81, 13, 71, 18, 76, 28, 86, 38, 96, 48, 106, 58, 116, 51, 109, 41, 99, 31, 89, 21, 79, 11, 69, 4, 62)(117, 175, 119, 177, 125, 183, 134, 192, 124, 182, 118, 176, 123, 181, 133, 191, 144, 202, 132, 190, 122, 180, 131, 189, 143, 201, 154, 212, 142, 200, 130, 188, 141, 199, 153, 211, 164, 222, 152, 210, 140, 198, 151, 209, 163, 221, 174, 232, 162, 220, 150, 208, 161, 219, 173, 231, 167, 225, 172, 230, 160, 218, 171, 229, 168, 226, 157, 215, 166, 224, 170, 228, 169, 227, 158, 216, 147, 205, 156, 214, 165, 223, 159, 217, 148, 206, 137, 195, 146, 204, 155, 213, 149, 207, 138, 196, 127, 185, 136, 194, 145, 203, 139, 197, 128, 186, 120, 178, 126, 184, 135, 193, 129, 187, 121, 179)
	L = (1, 119)(2, 123)(3, 125)(4, 126)(5, 117)(6, 131)(7, 133)(8, 118)(9, 134)(10, 135)(11, 136)(12, 120)(13, 121)(14, 141)(15, 143)(16, 122)(17, 144)(18, 124)(19, 129)(20, 145)(21, 146)(22, 127)(23, 128)(24, 151)(25, 153)(26, 130)(27, 154)(28, 132)(29, 139)(30, 155)(31, 156)(32, 137)(33, 138)(34, 161)(35, 163)(36, 140)(37, 164)(38, 142)(39, 149)(40, 165)(41, 166)(42, 147)(43, 148)(44, 171)(45, 173)(46, 150)(47, 174)(48, 152)(49, 159)(50, 170)(51, 172)(52, 157)(53, 158)(54, 169)(55, 168)(56, 160)(57, 167)(58, 162)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1309
Graph:: bipartite
	v = 2 e = 116 f = 60
	degree seq :: [ 116^2 ]

E28.1296 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, R * Y2 * R * Y3, (R * Y1)^2, (Y1, Y2^-1), Y1^-1 * Y2^-2 * Y1 * Y2^2, Y2^-1 * Y1^-1 * Y2^-4, Y1^-2 * Y2^-2 * Y1^-10, (Y3^-1 * Y1^-1)^29 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 14, 72, 24, 82, 34, 92, 44, 102, 54, 112, 49, 107, 39, 97, 29, 87, 19, 77, 13, 71, 18, 76, 28, 86, 38, 96, 48, 106, 58, 116, 51, 109, 41, 99, 31, 89, 21, 79, 10, 68, 3, 61, 7, 65, 15, 73, 25, 83, 35, 93, 45, 103, 55, 113, 53, 111, 43, 101, 33, 91, 23, 81, 12, 70, 5, 63, 8, 66, 16, 74, 26, 84, 36, 94, 46, 104, 56, 114, 50, 108, 40, 98, 30, 88, 20, 78, 9, 67, 17, 75, 27, 85, 37, 95, 47, 105, 57, 115, 52, 110, 42, 100, 32, 90, 22, 80, 11, 69, 4, 62)(117, 175, 119, 177, 125, 183, 135, 193, 128, 186, 120, 178, 126, 184, 136, 194, 145, 203, 139, 197, 127, 185, 137, 195, 146, 204, 155, 213, 149, 207, 138, 196, 147, 205, 156, 214, 165, 223, 159, 217, 148, 206, 157, 215, 166, 224, 170, 228, 169, 227, 158, 216, 167, 225, 172, 230, 160, 218, 171, 229, 168, 226, 174, 232, 162, 220, 150, 208, 161, 219, 173, 231, 164, 222, 152, 210, 140, 198, 151, 209, 163, 221, 154, 212, 142, 200, 130, 188, 141, 199, 153, 211, 144, 202, 132, 190, 122, 180, 131, 189, 143, 201, 134, 192, 124, 182, 118, 176, 123, 181, 133, 191, 129, 187, 121, 179)
	L = (1, 119)(2, 123)(3, 125)(4, 126)(5, 117)(6, 131)(7, 133)(8, 118)(9, 135)(10, 136)(11, 137)(12, 120)(13, 121)(14, 141)(15, 143)(16, 122)(17, 129)(18, 124)(19, 128)(20, 145)(21, 146)(22, 147)(23, 127)(24, 151)(25, 153)(26, 130)(27, 134)(28, 132)(29, 139)(30, 155)(31, 156)(32, 157)(33, 138)(34, 161)(35, 163)(36, 140)(37, 144)(38, 142)(39, 149)(40, 165)(41, 166)(42, 167)(43, 148)(44, 171)(45, 173)(46, 150)(47, 154)(48, 152)(49, 159)(50, 170)(51, 172)(52, 174)(53, 158)(54, 169)(55, 168)(56, 160)(57, 164)(58, 162)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1311
Graph:: bipartite
	v = 2 e = 116 f = 60
	degree seq :: [ 116^2 ]

E28.1297 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2, Y1), Y1^-1 * Y2^3 * Y1 * Y2^-3, Y2^-3 * Y1 * Y2^-4, Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-6, Y1^-3 * Y2^3 * Y1 * Y2 * Y1 * Y2^3, (Y3^-1 * Y1^-1)^29 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 14, 72, 26, 84, 40, 98, 38, 96, 24, 82, 13, 71, 18, 76, 30, 88, 44, 102, 52, 110, 57, 115, 55, 113, 47, 105, 33, 91, 19, 77, 31, 89, 45, 103, 53, 111, 49, 107, 35, 93, 21, 79, 10, 68, 3, 61, 7, 65, 15, 73, 27, 85, 41, 99, 37, 95, 23, 81, 12, 70, 5, 63, 8, 66, 16, 74, 28, 86, 42, 100, 51, 109, 50, 108, 39, 97, 25, 83, 32, 90, 46, 104, 54, 112, 58, 116, 56, 114, 48, 106, 34, 92, 20, 78, 9, 67, 17, 75, 29, 87, 43, 101, 36, 94, 22, 80, 11, 69, 4, 62)(117, 175, 119, 177, 125, 183, 135, 193, 148, 206, 134, 192, 124, 182, 118, 176, 123, 181, 133, 191, 147, 205, 162, 220, 146, 204, 132, 190, 122, 180, 131, 189, 145, 203, 161, 219, 170, 228, 160, 218, 144, 202, 130, 188, 143, 201, 159, 217, 169, 227, 174, 232, 168, 226, 158, 216, 142, 200, 157, 215, 152, 210, 165, 223, 172, 230, 173, 231, 167, 225, 156, 214, 153, 211, 138, 196, 151, 209, 164, 222, 171, 229, 166, 224, 154, 212, 139, 197, 127, 185, 137, 195, 150, 208, 163, 221, 155, 213, 140, 198, 128, 186, 120, 178, 126, 184, 136, 194, 149, 207, 141, 199, 129, 187, 121, 179)
	L = (1, 119)(2, 123)(3, 125)(4, 126)(5, 117)(6, 131)(7, 133)(8, 118)(9, 135)(10, 136)(11, 137)(12, 120)(13, 121)(14, 143)(15, 145)(16, 122)(17, 147)(18, 124)(19, 148)(20, 149)(21, 150)(22, 151)(23, 127)(24, 128)(25, 129)(26, 157)(27, 159)(28, 130)(29, 161)(30, 132)(31, 162)(32, 134)(33, 141)(34, 163)(35, 164)(36, 165)(37, 138)(38, 139)(39, 140)(40, 153)(41, 152)(42, 142)(43, 169)(44, 144)(45, 170)(46, 146)(47, 155)(48, 171)(49, 172)(50, 154)(51, 156)(52, 158)(53, 174)(54, 160)(55, 166)(56, 173)(57, 167)(58, 168)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1315
Graph:: bipartite
	v = 2 e = 116 f = 60
	degree seq :: [ 116^2 ]

E28.1298 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), Y1^-1 * Y2^-3 * Y1 * Y2^3, Y2 * Y1^-2 * Y2^-2 * Y1^2 * Y2, Y2^-5 * Y1^-1 * Y2^-2, Y1^-3 * Y2^2 * Y1^-5, (Y3^-1 * Y1^-1)^29 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 14, 72, 26, 84, 40, 98, 35, 93, 20, 78, 9, 67, 17, 75, 29, 87, 43, 101, 52, 110, 57, 115, 55, 113, 47, 105, 33, 91, 25, 83, 32, 90, 46, 104, 54, 112, 49, 107, 38, 96, 23, 81, 12, 70, 5, 63, 8, 66, 16, 74, 28, 86, 42, 100, 36, 94, 21, 79, 10, 68, 3, 61, 7, 65, 15, 73, 27, 85, 41, 99, 51, 109, 48, 106, 34, 92, 19, 77, 31, 89, 45, 103, 53, 111, 58, 116, 56, 114, 50, 108, 39, 97, 24, 82, 13, 71, 18, 76, 30, 88, 44, 102, 37, 95, 22, 80, 11, 69, 4, 62)(117, 175, 119, 177, 125, 183, 135, 193, 149, 207, 140, 198, 128, 186, 120, 178, 126, 184, 136, 194, 150, 208, 163, 221, 155, 213, 139, 197, 127, 185, 137, 195, 151, 209, 164, 222, 171, 229, 166, 224, 154, 212, 138, 196, 152, 210, 156, 214, 167, 225, 173, 231, 172, 230, 165, 223, 153, 211, 158, 216, 142, 200, 157, 215, 168, 226, 174, 232, 170, 228, 160, 218, 144, 202, 130, 188, 143, 201, 159, 217, 169, 227, 162, 220, 146, 204, 132, 190, 122, 180, 131, 189, 145, 203, 161, 219, 148, 206, 134, 192, 124, 182, 118, 176, 123, 181, 133, 191, 147, 205, 141, 199, 129, 187, 121, 179)
	L = (1, 119)(2, 123)(3, 125)(4, 126)(5, 117)(6, 131)(7, 133)(8, 118)(9, 135)(10, 136)(11, 137)(12, 120)(13, 121)(14, 143)(15, 145)(16, 122)(17, 147)(18, 124)(19, 149)(20, 150)(21, 151)(22, 152)(23, 127)(24, 128)(25, 129)(26, 157)(27, 159)(28, 130)(29, 161)(30, 132)(31, 141)(32, 134)(33, 140)(34, 163)(35, 164)(36, 156)(37, 158)(38, 138)(39, 139)(40, 167)(41, 168)(42, 142)(43, 169)(44, 144)(45, 148)(46, 146)(47, 155)(48, 171)(49, 153)(50, 154)(51, 173)(52, 174)(53, 162)(54, 160)(55, 166)(56, 165)(57, 172)(58, 170)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1310
Graph:: bipartite
	v = 2 e = 116 f = 60
	degree seq :: [ 116^2 ]

E28.1299 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, (Y2, Y1), (R * Y1)^2, Y2^-4 * Y1^-6, Y2^8 * Y1^-1 * Y2, Y2^-2 * Y1^-1 * Y2^-1 * Y1^-5 * Y2^-1, Y2 * Y1^-1 * Y2 * Y1^-2 * Y2^3 * Y1^-4, (Y3^-1 * Y1^-1)^29 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 14, 72, 26, 84, 42, 100, 41, 99, 50, 108, 58, 116, 54, 112, 36, 94, 21, 79, 10, 68, 3, 61, 7, 65, 15, 73, 27, 85, 43, 101, 40, 98, 25, 83, 32, 90, 48, 106, 57, 115, 53, 111, 35, 93, 20, 78, 9, 67, 17, 75, 29, 87, 45, 103, 39, 97, 24, 82, 13, 71, 18, 76, 30, 88, 46, 104, 56, 114, 52, 110, 34, 92, 19, 77, 31, 89, 47, 105, 38, 96, 23, 81, 12, 70, 5, 63, 8, 66, 16, 74, 28, 86, 44, 102, 55, 113, 51, 109, 33, 91, 49, 107, 37, 95, 22, 80, 11, 69, 4, 62)(117, 175, 119, 177, 125, 183, 135, 193, 149, 207, 166, 224, 148, 206, 134, 192, 124, 182, 118, 176, 123, 181, 133, 191, 147, 205, 165, 223, 174, 232, 164, 222, 146, 204, 132, 190, 122, 180, 131, 189, 145, 203, 163, 221, 153, 211, 170, 228, 173, 231, 162, 220, 144, 202, 130, 188, 143, 201, 161, 219, 154, 212, 138, 196, 152, 210, 169, 227, 172, 230, 160, 218, 142, 200, 159, 217, 155, 213, 139, 197, 127, 185, 137, 195, 151, 209, 168, 226, 171, 229, 158, 216, 156, 214, 140, 198, 128, 186, 120, 178, 126, 184, 136, 194, 150, 208, 167, 225, 157, 215, 141, 199, 129, 187, 121, 179)
	L = (1, 119)(2, 123)(3, 125)(4, 126)(5, 117)(6, 131)(7, 133)(8, 118)(9, 135)(10, 136)(11, 137)(12, 120)(13, 121)(14, 143)(15, 145)(16, 122)(17, 147)(18, 124)(19, 149)(20, 150)(21, 151)(22, 152)(23, 127)(24, 128)(25, 129)(26, 159)(27, 161)(28, 130)(29, 163)(30, 132)(31, 165)(32, 134)(33, 166)(34, 167)(35, 168)(36, 169)(37, 170)(38, 138)(39, 139)(40, 140)(41, 141)(42, 156)(43, 155)(44, 142)(45, 154)(46, 144)(47, 153)(48, 146)(49, 174)(50, 148)(51, 157)(52, 171)(53, 172)(54, 173)(55, 158)(56, 160)(57, 162)(58, 164)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1307
Graph:: bipartite
	v = 2 e = 116 f = 60
	degree seq :: [ 116^2 ]

E28.1300 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), Y1^-2 * Y2^2 * Y1^-1 * Y2^2 * Y1^-3, Y2^2 * Y1^3 * Y2^-2 * Y1^-3, Y2^-2 * Y1^-1 * Y2^-7, (Y3^-1 * Y1^-1)^29 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 14, 72, 26, 84, 42, 100, 33, 91, 49, 107, 58, 116, 52, 110, 38, 96, 23, 81, 12, 70, 5, 63, 8, 66, 16, 74, 28, 86, 44, 102, 34, 92, 19, 77, 31, 89, 47, 105, 57, 115, 53, 111, 39, 97, 24, 82, 13, 71, 18, 76, 30, 88, 46, 104, 35, 93, 20, 78, 9, 67, 17, 75, 29, 87, 45, 103, 56, 114, 54, 112, 40, 98, 25, 83, 32, 90, 48, 106, 36, 94, 21, 79, 10, 68, 3, 61, 7, 65, 15, 73, 27, 85, 43, 101, 55, 113, 51, 109, 41, 99, 50, 108, 37, 95, 22, 80, 11, 69, 4, 62)(117, 175, 119, 177, 125, 183, 135, 193, 149, 207, 167, 225, 156, 214, 140, 198, 128, 186, 120, 178, 126, 184, 136, 194, 150, 208, 158, 216, 171, 229, 170, 228, 155, 213, 139, 197, 127, 185, 137, 195, 151, 209, 160, 218, 142, 200, 159, 217, 172, 230, 169, 227, 154, 212, 138, 196, 152, 210, 162, 220, 144, 202, 130, 188, 143, 201, 161, 219, 173, 231, 168, 226, 153, 211, 164, 222, 146, 204, 132, 190, 122, 180, 131, 189, 145, 203, 163, 221, 174, 232, 166, 224, 148, 206, 134, 192, 124, 182, 118, 176, 123, 181, 133, 191, 147, 205, 165, 223, 157, 215, 141, 199, 129, 187, 121, 179)
	L = (1, 119)(2, 123)(3, 125)(4, 126)(5, 117)(6, 131)(7, 133)(8, 118)(9, 135)(10, 136)(11, 137)(12, 120)(13, 121)(14, 143)(15, 145)(16, 122)(17, 147)(18, 124)(19, 149)(20, 150)(21, 151)(22, 152)(23, 127)(24, 128)(25, 129)(26, 159)(27, 161)(28, 130)(29, 163)(30, 132)(31, 165)(32, 134)(33, 167)(34, 158)(35, 160)(36, 162)(37, 164)(38, 138)(39, 139)(40, 140)(41, 141)(42, 171)(43, 172)(44, 142)(45, 173)(46, 144)(47, 174)(48, 146)(49, 157)(50, 148)(51, 156)(52, 153)(53, 154)(54, 155)(55, 170)(56, 169)(57, 168)(58, 166)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1316
Graph:: bipartite
	v = 2 e = 116 f = 60
	degree seq :: [ 116^2 ]

E28.1301 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, R * Y2 * R * Y3, (Y2, Y1), (R * Y1)^2, Y1^-5 * Y2^-3, Y2^-1 * Y1^-1 * Y2^-1 * Y1^-4 * Y2^-1, Y2^-5 * Y1 * Y2^-6, (Y3^-1 * Y1^-1)^29 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 14, 72, 26, 84, 25, 83, 32, 90, 40, 98, 49, 107, 56, 114, 53, 111, 43, 101, 51, 109, 46, 104, 35, 93, 20, 78, 9, 67, 17, 75, 29, 87, 23, 81, 12, 70, 5, 63, 8, 66, 16, 74, 28, 86, 38, 96, 37, 95, 42, 100, 50, 108, 57, 115, 54, 112, 44, 102, 33, 91, 41, 99, 36, 94, 21, 79, 10, 68, 3, 61, 7, 65, 15, 73, 27, 85, 24, 82, 13, 71, 18, 76, 30, 88, 39, 97, 48, 106, 47, 105, 52, 110, 58, 116, 55, 113, 45, 103, 34, 92, 19, 77, 31, 89, 22, 80, 11, 69, 4, 62)(117, 175, 119, 177, 125, 183, 135, 193, 149, 207, 159, 217, 168, 226, 158, 216, 148, 206, 134, 192, 124, 182, 118, 176, 123, 181, 133, 191, 147, 205, 157, 215, 167, 225, 174, 232, 166, 224, 156, 214, 146, 204, 132, 190, 122, 180, 131, 189, 145, 203, 138, 196, 152, 210, 162, 220, 171, 229, 173, 231, 165, 223, 155, 213, 144, 202, 130, 188, 143, 201, 139, 197, 127, 185, 137, 195, 151, 209, 161, 219, 170, 228, 172, 230, 164, 222, 154, 212, 142, 200, 140, 198, 128, 186, 120, 178, 126, 184, 136, 194, 150, 208, 160, 218, 169, 227, 163, 221, 153, 211, 141, 199, 129, 187, 121, 179)
	L = (1, 119)(2, 123)(3, 125)(4, 126)(5, 117)(6, 131)(7, 133)(8, 118)(9, 135)(10, 136)(11, 137)(12, 120)(13, 121)(14, 143)(15, 145)(16, 122)(17, 147)(18, 124)(19, 149)(20, 150)(21, 151)(22, 152)(23, 127)(24, 128)(25, 129)(26, 140)(27, 139)(28, 130)(29, 138)(30, 132)(31, 157)(32, 134)(33, 159)(34, 160)(35, 161)(36, 162)(37, 141)(38, 142)(39, 144)(40, 146)(41, 167)(42, 148)(43, 168)(44, 169)(45, 170)(46, 171)(47, 153)(48, 154)(49, 155)(50, 156)(51, 174)(52, 158)(53, 163)(54, 172)(55, 173)(56, 164)(57, 165)(58, 166)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1317
Graph:: bipartite
	v = 2 e = 116 f = 60
	degree seq :: [ 116^2 ]

E28.1302 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1), Y2 * Y1^-1 * Y2 * Y1^-4 * Y2, Y2^-4 * Y1^-1 * Y2^-7, (Y3^-1 * Y1^-1)^29 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 14, 72, 26, 84, 19, 77, 31, 89, 40, 98, 49, 107, 56, 114, 53, 111, 47, 105, 52, 110, 44, 102, 35, 93, 24, 82, 13, 71, 18, 76, 30, 88, 21, 79, 10, 68, 3, 61, 7, 65, 15, 73, 27, 85, 38, 96, 33, 91, 41, 99, 50, 108, 57, 115, 55, 113, 46, 104, 37, 95, 42, 100, 34, 92, 23, 81, 12, 70, 5, 63, 8, 66, 16, 74, 28, 86, 20, 78, 9, 67, 17, 75, 29, 87, 39, 97, 48, 106, 43, 101, 51, 109, 58, 116, 54, 112, 45, 103, 36, 94, 25, 83, 32, 90, 22, 80, 11, 69, 4, 62)(117, 175, 119, 177, 125, 183, 135, 193, 149, 207, 159, 217, 169, 227, 162, 220, 152, 210, 140, 198, 128, 186, 120, 178, 126, 184, 136, 194, 142, 200, 154, 212, 164, 222, 172, 230, 171, 229, 161, 219, 151, 209, 139, 197, 127, 185, 137, 195, 144, 202, 130, 188, 143, 201, 155, 213, 165, 223, 173, 231, 170, 228, 160, 218, 150, 208, 138, 196, 146, 204, 132, 190, 122, 180, 131, 189, 145, 203, 156, 214, 166, 224, 174, 232, 168, 226, 158, 216, 148, 206, 134, 192, 124, 182, 118, 176, 123, 181, 133, 191, 147, 205, 157, 215, 167, 225, 163, 221, 153, 211, 141, 199, 129, 187, 121, 179)
	L = (1, 119)(2, 123)(3, 125)(4, 126)(5, 117)(6, 131)(7, 133)(8, 118)(9, 135)(10, 136)(11, 137)(12, 120)(13, 121)(14, 143)(15, 145)(16, 122)(17, 147)(18, 124)(19, 149)(20, 142)(21, 144)(22, 146)(23, 127)(24, 128)(25, 129)(26, 154)(27, 155)(28, 130)(29, 156)(30, 132)(31, 157)(32, 134)(33, 159)(34, 138)(35, 139)(36, 140)(37, 141)(38, 164)(39, 165)(40, 166)(41, 167)(42, 148)(43, 169)(44, 150)(45, 151)(46, 152)(47, 153)(48, 172)(49, 173)(50, 174)(51, 163)(52, 158)(53, 162)(54, 160)(55, 161)(56, 171)(57, 170)(58, 168)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1308
Graph:: bipartite
	v = 2 e = 116 f = 60
	degree seq :: [ 116^2 ]

E28.1303 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), Y2 * Y1^-1 * Y2 * Y1^-3, Y2^-2 * Y1^-1 * Y2^-11 * Y1^-2, (Y3^-1 * Y1^-1)^29 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 14, 72, 9, 67, 17, 75, 24, 82, 31, 89, 27, 85, 33, 91, 40, 98, 47, 105, 43, 101, 49, 107, 56, 114, 54, 112, 58, 116, 52, 110, 45, 103, 38, 96, 42, 100, 36, 94, 29, 87, 22, 80, 26, 84, 20, 78, 12, 70, 5, 63, 8, 66, 16, 74, 10, 68, 3, 61, 7, 65, 15, 73, 23, 81, 19, 77, 25, 83, 32, 90, 39, 97, 35, 93, 41, 99, 48, 106, 55, 113, 51, 109, 57, 115, 53, 111, 46, 104, 50, 108, 44, 102, 37, 95, 30, 88, 34, 92, 28, 86, 21, 79, 13, 71, 18, 76, 11, 69, 4, 62)(117, 175, 119, 177, 125, 183, 135, 193, 143, 201, 151, 209, 159, 217, 167, 225, 174, 232, 166, 224, 158, 216, 150, 208, 142, 200, 134, 192, 124, 182, 118, 176, 123, 181, 133, 191, 141, 199, 149, 207, 157, 215, 165, 223, 173, 231, 168, 226, 160, 218, 152, 210, 144, 202, 136, 194, 127, 185, 132, 190, 122, 180, 131, 189, 140, 198, 148, 206, 156, 214, 164, 222, 172, 230, 169, 227, 161, 219, 153, 211, 145, 203, 137, 195, 128, 186, 120, 178, 126, 184, 130, 188, 139, 197, 147, 205, 155, 213, 163, 221, 171, 229, 170, 228, 162, 220, 154, 212, 146, 204, 138, 196, 129, 187, 121, 179)
	L = (1, 119)(2, 123)(3, 125)(4, 126)(5, 117)(6, 131)(7, 133)(8, 118)(9, 135)(10, 130)(11, 132)(12, 120)(13, 121)(14, 139)(15, 140)(16, 122)(17, 141)(18, 124)(19, 143)(20, 127)(21, 128)(22, 129)(23, 147)(24, 148)(25, 149)(26, 134)(27, 151)(28, 136)(29, 137)(30, 138)(31, 155)(32, 156)(33, 157)(34, 142)(35, 159)(36, 144)(37, 145)(38, 146)(39, 163)(40, 164)(41, 165)(42, 150)(43, 167)(44, 152)(45, 153)(46, 154)(47, 171)(48, 172)(49, 173)(50, 158)(51, 174)(52, 160)(53, 161)(54, 162)(55, 170)(56, 169)(57, 168)(58, 166)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1314
Graph:: bipartite
	v = 2 e = 116 f = 60
	degree seq :: [ 116^2 ]

E28.1304 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, R * Y2 * R * Y3, (Y2^-1, Y1), (R * Y1)^2, Y1^-2 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-13 * Y1^3, Y2^5 * Y1^2 * Y2^-6 * Y1^-2 * Y2, (Y3^-1 * Y1^-1)^29 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 14, 72, 13, 71, 18, 76, 24, 82, 31, 89, 30, 88, 34, 92, 40, 98, 47, 105, 46, 104, 50, 108, 56, 114, 51, 109, 57, 115, 53, 111, 44, 102, 35, 93, 41, 99, 37, 95, 28, 86, 19, 77, 25, 83, 21, 79, 10, 68, 3, 61, 7, 65, 15, 73, 12, 70, 5, 63, 8, 66, 16, 74, 23, 81, 22, 80, 26, 84, 32, 90, 39, 97, 38, 96, 42, 100, 48, 106, 55, 113, 54, 112, 58, 116, 52, 110, 43, 101, 49, 107, 45, 103, 36, 94, 27, 85, 33, 91, 29, 87, 20, 78, 9, 67, 17, 75, 11, 69, 4, 62)(117, 175, 119, 177, 125, 183, 135, 193, 143, 201, 151, 209, 159, 217, 167, 225, 171, 229, 163, 221, 155, 213, 147, 205, 139, 197, 130, 188, 128, 186, 120, 178, 126, 184, 136, 194, 144, 202, 152, 210, 160, 218, 168, 226, 172, 230, 164, 222, 156, 214, 148, 206, 140, 198, 132, 190, 122, 180, 131, 189, 127, 185, 137, 195, 145, 203, 153, 211, 161, 219, 169, 227, 174, 232, 166, 224, 158, 216, 150, 208, 142, 200, 134, 192, 124, 182, 118, 176, 123, 181, 133, 191, 141, 199, 149, 207, 157, 215, 165, 223, 173, 231, 170, 228, 162, 220, 154, 212, 146, 204, 138, 196, 129, 187, 121, 179)
	L = (1, 119)(2, 123)(3, 125)(4, 126)(5, 117)(6, 131)(7, 133)(8, 118)(9, 135)(10, 136)(11, 137)(12, 120)(13, 121)(14, 128)(15, 127)(16, 122)(17, 141)(18, 124)(19, 143)(20, 144)(21, 145)(22, 129)(23, 130)(24, 132)(25, 149)(26, 134)(27, 151)(28, 152)(29, 153)(30, 138)(31, 139)(32, 140)(33, 157)(34, 142)(35, 159)(36, 160)(37, 161)(38, 146)(39, 147)(40, 148)(41, 165)(42, 150)(43, 167)(44, 168)(45, 169)(46, 154)(47, 155)(48, 156)(49, 173)(50, 158)(51, 171)(52, 172)(53, 174)(54, 162)(55, 163)(56, 164)(57, 170)(58, 166)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1306
Graph:: bipartite
	v = 2 e = 116 f = 60
	degree seq :: [ 116^2 ]

E28.1305 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), Y2^-5 * Y1^-1 * Y2^-1 * Y1^-2 * Y2^-1, Y1^-3 * Y2 * Y1^-1 * Y2^2 * Y1^-3, (Y3^-1 * Y1^-1)^29 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 14, 72, 26, 84, 42, 100, 34, 92, 19, 77, 31, 89, 47, 105, 41, 99, 50, 108, 56, 114, 53, 111, 38, 96, 23, 81, 12, 70, 5, 63, 8, 66, 16, 74, 28, 86, 44, 102, 35, 93, 20, 78, 9, 67, 17, 75, 29, 87, 45, 103, 55, 113, 58, 116, 57, 115, 51, 109, 39, 97, 24, 82, 13, 71, 18, 76, 30, 88, 46, 104, 36, 94, 21, 79, 10, 68, 3, 61, 7, 65, 15, 73, 27, 85, 43, 101, 54, 112, 52, 110, 33, 91, 49, 107, 40, 98, 25, 83, 32, 90, 48, 106, 37, 95, 22, 80, 11, 69, 4, 62)(117, 175, 119, 177, 125, 183, 135, 193, 149, 207, 167, 225, 154, 212, 138, 196, 152, 210, 160, 218, 142, 200, 159, 217, 171, 229, 166, 224, 148, 206, 134, 192, 124, 182, 118, 176, 123, 181, 133, 191, 147, 205, 165, 223, 155, 213, 139, 197, 127, 185, 137, 195, 151, 209, 158, 216, 170, 228, 174, 232, 172, 230, 164, 222, 146, 204, 132, 190, 122, 180, 131, 189, 145, 203, 163, 221, 156, 214, 140, 198, 128, 186, 120, 178, 126, 184, 136, 194, 150, 208, 168, 226, 173, 231, 169, 227, 153, 211, 162, 220, 144, 202, 130, 188, 143, 201, 161, 219, 157, 215, 141, 199, 129, 187, 121, 179)
	L = (1, 119)(2, 123)(3, 125)(4, 126)(5, 117)(6, 131)(7, 133)(8, 118)(9, 135)(10, 136)(11, 137)(12, 120)(13, 121)(14, 143)(15, 145)(16, 122)(17, 147)(18, 124)(19, 149)(20, 150)(21, 151)(22, 152)(23, 127)(24, 128)(25, 129)(26, 159)(27, 161)(28, 130)(29, 163)(30, 132)(31, 165)(32, 134)(33, 167)(34, 168)(35, 158)(36, 160)(37, 162)(38, 138)(39, 139)(40, 140)(41, 141)(42, 170)(43, 171)(44, 142)(45, 157)(46, 144)(47, 156)(48, 146)(49, 155)(50, 148)(51, 154)(52, 173)(53, 153)(54, 174)(55, 166)(56, 164)(57, 169)(58, 172)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.1313
Graph:: bipartite
	v = 2 e = 116 f = 60
	degree seq :: [ 116^2 ]

E28.1306 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y3^-1 * Y2^-1)^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3^-2 * Y2^-2, Y3^-2 * Y2^12 * Y3^-1 * Y2 * Y3^-13, Y3^-2 * Y2^27, (Y3 * Y2^-1)^58, (Y3^-1 * Y1^-1)^58 ]
Map::
	R = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)(117, 175, 118, 176, 122, 180, 127, 185, 131, 189, 135, 193, 139, 197, 143, 201, 147, 205, 151, 209, 155, 213, 159, 217, 163, 221, 167, 225, 171, 229, 173, 231, 170, 228, 165, 223, 162, 220, 157, 215, 154, 212, 149, 207, 146, 204, 141, 199, 138, 196, 133, 191, 130, 188, 125, 183, 120, 178)(119, 177, 123, 181, 121, 179, 124, 182, 128, 186, 132, 190, 136, 194, 140, 198, 144, 202, 148, 206, 152, 210, 156, 214, 160, 218, 164, 222, 168, 226, 172, 230, 174, 232, 169, 227, 166, 224, 161, 219, 158, 216, 153, 211, 150, 208, 145, 203, 142, 200, 137, 195, 134, 192, 129, 187, 126, 184)
	L = (1, 119)(2, 123)(3, 125)(4, 126)(5, 117)(6, 121)(7, 120)(8, 118)(9, 129)(10, 130)(11, 124)(12, 122)(13, 133)(14, 134)(15, 128)(16, 127)(17, 137)(18, 138)(19, 132)(20, 131)(21, 141)(22, 142)(23, 136)(24, 135)(25, 145)(26, 146)(27, 140)(28, 139)(29, 149)(30, 150)(31, 144)(32, 143)(33, 153)(34, 154)(35, 148)(36, 147)(37, 157)(38, 158)(39, 152)(40, 151)(41, 161)(42, 162)(43, 156)(44, 155)(45, 165)(46, 166)(47, 160)(48, 159)(49, 169)(50, 170)(51, 164)(52, 163)(53, 173)(54, 174)(55, 168)(56, 167)(57, 172)(58, 171)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 116, 116 ), ( 116^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1304
Graph:: simple bipartite
	v = 60 e = 116 f = 2
	degree seq :: [ 2^58, 58^2 ]

E28.1307 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y3, Y2^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2^-1), Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-3, Y3^9 * Y2^-1 * Y3, Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^4 * Y2^2, Y2^107 * Y3^2 * Y2^3, (Y3^-1 * Y1^-1)^58 ]
Map::
	R = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)(117, 175, 118, 176, 122, 180, 130, 188, 142, 200, 136, 194, 125, 183, 133, 191, 145, 203, 156, 214, 167, 225, 162, 220, 149, 207, 159, 217, 169, 227, 173, 231, 165, 223, 154, 212, 160, 218, 170, 228, 163, 221, 152, 210, 140, 198, 129, 187, 134, 192, 146, 204, 138, 196, 127, 185, 120, 178)(119, 177, 123, 181, 131, 189, 143, 201, 155, 213, 150, 208, 135, 193, 147, 205, 157, 215, 168, 226, 174, 232, 166, 224, 161, 219, 171, 229, 172, 230, 164, 222, 153, 211, 141, 199, 148, 206, 158, 216, 151, 209, 139, 197, 128, 186, 121, 179, 124, 182, 132, 190, 144, 202, 137, 195, 126, 184)
	L = (1, 119)(2, 123)(3, 125)(4, 126)(5, 117)(6, 131)(7, 133)(8, 118)(9, 135)(10, 136)(11, 137)(12, 120)(13, 121)(14, 143)(15, 145)(16, 122)(17, 147)(18, 124)(19, 149)(20, 150)(21, 142)(22, 144)(23, 127)(24, 128)(25, 129)(26, 155)(27, 156)(28, 130)(29, 157)(30, 132)(31, 159)(32, 134)(33, 161)(34, 162)(35, 138)(36, 139)(37, 140)(38, 141)(39, 167)(40, 168)(41, 169)(42, 146)(43, 171)(44, 148)(45, 160)(46, 166)(47, 151)(48, 152)(49, 153)(50, 154)(51, 174)(52, 173)(53, 172)(54, 158)(55, 170)(56, 163)(57, 164)(58, 165)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 116, 116 ), ( 116^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1299
Graph:: simple bipartite
	v = 60 e = 116 f = 2
	degree seq :: [ 2^58, 58^2 ]

E28.1308 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y3, Y2), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y2), Y3^-1 * Y2^-1 * Y3^-1 * Y2^-5, Y3^-8 * Y2^-1 * Y3^-2, Y2 * Y3^-1 * Y2 * Y3^-2 * Y2^2 * Y3^-5 * Y2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^2 * Y3^-3, (Y3^-1 * Y1^-1)^58 ]
Map::
	R = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)(117, 175, 118, 176, 122, 180, 130, 188, 142, 200, 140, 198, 129, 187, 134, 192, 146, 204, 156, 214, 167, 225, 165, 223, 154, 212, 160, 218, 170, 228, 173, 231, 162, 220, 149, 207, 159, 217, 169, 227, 164, 222, 151, 209, 136, 194, 125, 183, 133, 191, 145, 203, 138, 196, 127, 185, 120, 178)(119, 177, 123, 181, 131, 189, 143, 201, 139, 197, 128, 186, 121, 179, 124, 182, 132, 190, 144, 202, 155, 213, 153, 211, 141, 199, 148, 206, 158, 216, 168, 226, 172, 230, 161, 219, 166, 224, 171, 229, 174, 232, 163, 221, 150, 208, 135, 193, 147, 205, 157, 215, 152, 210, 137, 195, 126, 184)
	L = (1, 119)(2, 123)(3, 125)(4, 126)(5, 117)(6, 131)(7, 133)(8, 118)(9, 135)(10, 136)(11, 137)(12, 120)(13, 121)(14, 143)(15, 145)(16, 122)(17, 147)(18, 124)(19, 149)(20, 150)(21, 151)(22, 152)(23, 127)(24, 128)(25, 129)(26, 139)(27, 138)(28, 130)(29, 157)(30, 132)(31, 159)(32, 134)(33, 161)(34, 162)(35, 163)(36, 164)(37, 140)(38, 141)(39, 142)(40, 144)(41, 169)(42, 146)(43, 166)(44, 148)(45, 165)(46, 172)(47, 173)(48, 174)(49, 153)(50, 154)(51, 155)(52, 156)(53, 171)(54, 158)(55, 160)(56, 167)(57, 168)(58, 170)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 116, 116 ), ( 116^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1302
Graph:: simple bipartite
	v = 60 e = 116 f = 2
	degree seq :: [ 2^58, 58^2 ]

E28.1309 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y2^-1), Y3^4 * Y2^-1 * Y3^2, Y2^3 * Y3^-2 * Y2^7, Y2^4 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^4, (Y3^-1 * Y1^-1)^58 ]
Map::
	R = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)(117, 175, 118, 176, 122, 180, 130, 188, 142, 200, 154, 212, 166, 224, 160, 218, 148, 206, 136, 194, 125, 183, 133, 191, 145, 203, 157, 215, 169, 227, 173, 231, 164, 222, 152, 210, 140, 198, 129, 187, 134, 192, 146, 204, 158, 216, 170, 228, 162, 220, 150, 208, 138, 196, 127, 185, 120, 178)(119, 177, 123, 181, 131, 189, 143, 201, 155, 213, 167, 225, 174, 232, 165, 223, 153, 211, 141, 199, 135, 193, 147, 205, 159, 217, 171, 229, 172, 230, 163, 221, 151, 209, 139, 197, 128, 186, 121, 179, 124, 182, 132, 190, 144, 202, 156, 214, 168, 226, 161, 219, 149, 207, 137, 195, 126, 184)
	L = (1, 119)(2, 123)(3, 125)(4, 126)(5, 117)(6, 131)(7, 133)(8, 118)(9, 135)(10, 136)(11, 137)(12, 120)(13, 121)(14, 143)(15, 145)(16, 122)(17, 147)(18, 124)(19, 134)(20, 141)(21, 148)(22, 149)(23, 127)(24, 128)(25, 129)(26, 155)(27, 157)(28, 130)(29, 159)(30, 132)(31, 146)(32, 153)(33, 160)(34, 161)(35, 138)(36, 139)(37, 140)(38, 167)(39, 169)(40, 142)(41, 171)(42, 144)(43, 158)(44, 165)(45, 166)(46, 168)(47, 150)(48, 151)(49, 152)(50, 174)(51, 173)(52, 154)(53, 172)(54, 156)(55, 170)(56, 162)(57, 163)(58, 164)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 116, 116 ), ( 116^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1295
Graph:: simple bipartite
	v = 60 e = 116 f = 2
	degree seq :: [ 2^58, 58^2 ]

E28.1310 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y3, Y2), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^-4 * Y2^-1 * Y3^-2, Y2^-5 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-4, Y2^3 * Y3^-1 * Y2^5 * Y3^-3 * Y2, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^58 ]
Map::
	R = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)(117, 175, 118, 176, 122, 180, 130, 188, 142, 200, 154, 212, 166, 224, 165, 223, 153, 211, 140, 198, 129, 187, 134, 192, 146, 204, 158, 216, 170, 228, 173, 231, 161, 219, 149, 207, 136, 194, 125, 183, 133, 191, 145, 203, 157, 215, 169, 227, 163, 221, 151, 209, 138, 196, 127, 185, 120, 178)(119, 177, 123, 181, 131, 189, 143, 201, 155, 213, 167, 225, 164, 222, 152, 210, 139, 197, 128, 186, 121, 179, 124, 182, 132, 190, 144, 202, 156, 214, 168, 226, 172, 230, 160, 218, 148, 206, 135, 193, 141, 199, 147, 205, 159, 217, 171, 229, 174, 232, 162, 220, 150, 208, 137, 195, 126, 184)
	L = (1, 119)(2, 123)(3, 125)(4, 126)(5, 117)(6, 131)(7, 133)(8, 118)(9, 135)(10, 136)(11, 137)(12, 120)(13, 121)(14, 143)(15, 145)(16, 122)(17, 141)(18, 124)(19, 140)(20, 148)(21, 149)(22, 150)(23, 127)(24, 128)(25, 129)(26, 155)(27, 157)(28, 130)(29, 147)(30, 132)(31, 134)(32, 153)(33, 160)(34, 161)(35, 162)(36, 138)(37, 139)(38, 167)(39, 169)(40, 142)(41, 159)(42, 144)(43, 146)(44, 165)(45, 172)(46, 173)(47, 174)(48, 151)(49, 152)(50, 164)(51, 163)(52, 154)(53, 171)(54, 156)(55, 158)(56, 166)(57, 168)(58, 170)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 116, 116 ), ( 116^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1298
Graph:: simple bipartite
	v = 60 e = 116 f = 2
	degree seq :: [ 2^58, 58^2 ]

E28.1311 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y2^-1), (R * Y1)^2, Y3 * Y2 * Y3^3, Y2^5 * Y3^-1 * Y2 * Y3^-1 * Y2^8, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^58 ]
Map::
	R = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)(117, 175, 118, 176, 122, 180, 130, 188, 138, 196, 146, 204, 154, 212, 162, 220, 170, 228, 166, 224, 158, 216, 150, 208, 142, 200, 134, 192, 125, 183, 129, 187, 133, 191, 141, 199, 149, 207, 157, 215, 165, 223, 173, 231, 168, 226, 160, 218, 152, 210, 144, 202, 136, 194, 127, 185, 120, 178)(119, 177, 123, 181, 131, 189, 139, 197, 147, 205, 155, 213, 163, 221, 171, 229, 174, 232, 169, 227, 161, 219, 153, 211, 145, 203, 137, 195, 128, 186, 121, 179, 124, 182, 132, 190, 140, 198, 148, 206, 156, 214, 164, 222, 172, 230, 167, 225, 159, 217, 151, 209, 143, 201, 135, 193, 126, 184)
	L = (1, 119)(2, 123)(3, 125)(4, 126)(5, 117)(6, 131)(7, 129)(8, 118)(9, 128)(10, 134)(11, 135)(12, 120)(13, 121)(14, 139)(15, 133)(16, 122)(17, 124)(18, 137)(19, 142)(20, 143)(21, 127)(22, 147)(23, 141)(24, 130)(25, 132)(26, 145)(27, 150)(28, 151)(29, 136)(30, 155)(31, 149)(32, 138)(33, 140)(34, 153)(35, 158)(36, 159)(37, 144)(38, 163)(39, 157)(40, 146)(41, 148)(42, 161)(43, 166)(44, 167)(45, 152)(46, 171)(47, 165)(48, 154)(49, 156)(50, 169)(51, 170)(52, 172)(53, 160)(54, 174)(55, 173)(56, 162)(57, 164)(58, 168)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 116, 116 ), ( 116^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1296
Graph:: simple bipartite
	v = 60 e = 116 f = 2
	degree seq :: [ 2^58, 58^2 ]

E28.1312 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y3, Y2), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3^4 * Y2^-1, Y2^-7 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-6, Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-3, (Y3^-1 * Y1^-1)^58 ]
Map::
	R = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)(117, 175, 118, 176, 122, 180, 130, 188, 138, 196, 146, 204, 154, 212, 162, 220, 170, 228, 169, 227, 161, 219, 153, 211, 145, 203, 137, 195, 129, 187, 125, 183, 133, 191, 141, 199, 149, 207, 157, 215, 165, 223, 173, 231, 167, 225, 159, 217, 151, 209, 143, 201, 135, 193, 127, 185, 120, 178)(119, 177, 123, 181, 131, 189, 139, 197, 147, 205, 155, 213, 163, 221, 171, 229, 168, 226, 160, 218, 152, 210, 144, 202, 136, 194, 128, 186, 121, 179, 124, 182, 132, 190, 140, 198, 148, 206, 156, 214, 164, 222, 172, 230, 174, 232, 166, 224, 158, 216, 150, 208, 142, 200, 134, 192, 126, 184)
	L = (1, 119)(2, 123)(3, 125)(4, 126)(5, 117)(6, 131)(7, 133)(8, 118)(9, 124)(10, 129)(11, 134)(12, 120)(13, 121)(14, 139)(15, 141)(16, 122)(17, 132)(18, 137)(19, 142)(20, 127)(21, 128)(22, 147)(23, 149)(24, 130)(25, 140)(26, 145)(27, 150)(28, 135)(29, 136)(30, 155)(31, 157)(32, 138)(33, 148)(34, 153)(35, 158)(36, 143)(37, 144)(38, 163)(39, 165)(40, 146)(41, 156)(42, 161)(43, 166)(44, 151)(45, 152)(46, 171)(47, 173)(48, 154)(49, 164)(50, 169)(51, 174)(52, 159)(53, 160)(54, 168)(55, 167)(56, 162)(57, 172)(58, 170)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 116, 116 ), ( 116^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1293
Graph:: simple bipartite
	v = 60 e = 116 f = 2
	degree seq :: [ 2^58, 58^2 ]

E28.1313 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (Y3, Y2^-1), (R * Y2)^2, Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-3, Y3^-6 * Y2^-4, Y2^4 * Y3^-1 * Y2^3 * Y3^-3, Y2^29, (Y2^-1 * Y3)^58, (Y3^-1 * Y1^-1)^58 ]
Map::
	R = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)(117, 175, 118, 176, 122, 180, 130, 188, 142, 200, 158, 216, 168, 226, 149, 207, 165, 223, 155, 213, 140, 198, 129, 187, 134, 192, 146, 204, 162, 220, 170, 228, 151, 209, 136, 194, 125, 183, 133, 191, 145, 203, 161, 219, 157, 215, 166, 224, 172, 230, 153, 211, 138, 196, 127, 185, 120, 178)(119, 177, 123, 181, 131, 189, 143, 201, 159, 217, 173, 231, 174, 232, 167, 225, 154, 212, 139, 197, 128, 186, 121, 179, 124, 182, 132, 190, 144, 202, 160, 218, 169, 227, 150, 208, 135, 193, 147, 205, 163, 221, 156, 214, 141, 199, 148, 206, 164, 222, 171, 229, 152, 210, 137, 195, 126, 184)
	L = (1, 119)(2, 123)(3, 125)(4, 126)(5, 117)(6, 131)(7, 133)(8, 118)(9, 135)(10, 136)(11, 137)(12, 120)(13, 121)(14, 143)(15, 145)(16, 122)(17, 147)(18, 124)(19, 149)(20, 150)(21, 151)(22, 152)(23, 127)(24, 128)(25, 129)(26, 159)(27, 161)(28, 130)(29, 163)(30, 132)(31, 165)(32, 134)(33, 167)(34, 168)(35, 169)(36, 170)(37, 171)(38, 138)(39, 139)(40, 140)(41, 141)(42, 173)(43, 157)(44, 142)(45, 156)(46, 144)(47, 155)(48, 146)(49, 154)(50, 148)(51, 153)(52, 174)(53, 158)(54, 160)(55, 162)(56, 164)(57, 166)(58, 172)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 116, 116 ), ( 116^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1305
Graph:: simple bipartite
	v = 60 e = 116 f = 2
	degree seq :: [ 2^58, 58^2 ]

E28.1314 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y2)^2, Y3^3 * Y2^-1 * Y3^3 * Y2^-3, Y2^5 * Y3 * Y2 * Y3^3 * Y2, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^58 ]
Map::
	R = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)(117, 175, 118, 176, 122, 180, 130, 188, 142, 200, 158, 216, 172, 230, 157, 215, 166, 224, 151, 209, 136, 194, 125, 183, 133, 191, 145, 203, 161, 219, 170, 228, 155, 213, 140, 198, 129, 187, 134, 192, 146, 204, 162, 220, 149, 207, 165, 223, 168, 226, 153, 211, 138, 196, 127, 185, 120, 178)(119, 177, 123, 181, 131, 189, 143, 201, 159, 217, 171, 229, 156, 214, 141, 199, 148, 206, 164, 222, 150, 208, 135, 193, 147, 205, 163, 221, 169, 227, 154, 212, 139, 197, 128, 186, 121, 179, 124, 182, 132, 190, 144, 202, 160, 218, 173, 231, 174, 232, 167, 225, 152, 210, 137, 195, 126, 184)
	L = (1, 119)(2, 123)(3, 125)(4, 126)(5, 117)(6, 131)(7, 133)(8, 118)(9, 135)(10, 136)(11, 137)(12, 120)(13, 121)(14, 143)(15, 145)(16, 122)(17, 147)(18, 124)(19, 149)(20, 150)(21, 151)(22, 152)(23, 127)(24, 128)(25, 129)(26, 159)(27, 161)(28, 130)(29, 163)(30, 132)(31, 165)(32, 134)(33, 160)(34, 162)(35, 164)(36, 166)(37, 167)(38, 138)(39, 139)(40, 140)(41, 141)(42, 171)(43, 170)(44, 142)(45, 169)(46, 144)(47, 168)(48, 146)(49, 173)(50, 148)(51, 157)(52, 174)(53, 153)(54, 154)(55, 155)(56, 156)(57, 158)(58, 172)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 116, 116 ), ( 116^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1303
Graph:: simple bipartite
	v = 60 e = 116 f = 2
	degree seq :: [ 2^58, 58^2 ]

E28.1315 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y2)^2, Y2^6 * Y3^2 * Y2, Y3^-8 * Y2, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^58 ]
Map::
	R = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)(117, 175, 118, 176, 122, 180, 130, 188, 142, 200, 155, 213, 140, 198, 129, 187, 134, 192, 146, 204, 159, 217, 168, 226, 173, 231, 167, 225, 157, 215, 149, 207, 162, 220, 170, 228, 172, 230, 164, 222, 151, 209, 136, 194, 125, 183, 133, 191, 145, 203, 153, 211, 138, 196, 127, 185, 120, 178)(119, 177, 123, 181, 131, 189, 143, 201, 154, 212, 139, 197, 128, 186, 121, 179, 124, 182, 132, 190, 144, 202, 158, 216, 166, 224, 156, 214, 141, 199, 148, 206, 161, 219, 169, 227, 174, 232, 171, 229, 163, 221, 150, 208, 135, 193, 147, 205, 160, 218, 165, 223, 152, 210, 137, 195, 126, 184)
	L = (1, 119)(2, 123)(3, 125)(4, 126)(5, 117)(6, 131)(7, 133)(8, 118)(9, 135)(10, 136)(11, 137)(12, 120)(13, 121)(14, 143)(15, 145)(16, 122)(17, 147)(18, 124)(19, 149)(20, 150)(21, 151)(22, 152)(23, 127)(24, 128)(25, 129)(26, 154)(27, 153)(28, 130)(29, 160)(30, 132)(31, 162)(32, 134)(33, 148)(34, 157)(35, 163)(36, 164)(37, 165)(38, 138)(39, 139)(40, 140)(41, 141)(42, 142)(43, 144)(44, 170)(45, 146)(46, 161)(47, 167)(48, 171)(49, 172)(50, 155)(51, 156)(52, 158)(53, 159)(54, 169)(55, 173)(56, 174)(57, 166)(58, 168)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 116, 116 ), ( 116^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1297
Graph:: simple bipartite
	v = 60 e = 116 f = 2
	degree seq :: [ 2^58, 58^2 ]

E28.1316 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2, Y3^-1), Y3 * Y2 * Y3^7, Y3^-1 * Y2 * Y3^-1 * Y2^6, Y3^2 * Y2^4 * Y3 * Y2^4 * Y3 * Y2^4 * Y3 * Y2^4 * Y3 * Y2^4 * Y3 * Y2^4 * Y3 * Y2^4 * Y3 * Y2^4 * Y3 * Y2^4 * Y3 * Y2^4 * Y3 * Y2^4 * Y3 * Y2^4 * Y3 * Y2^4 * Y3 * Y2^4 * Y3 * Y2^4 * Y3 * Y2^4 * Y3 * Y2^4 * Y3 * Y2^4 * Y3 * Y2^3, (Y3^-1 * Y1^-1)^58 ]
Map::
	R = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)(117, 175, 118, 176, 122, 180, 130, 188, 142, 200, 151, 209, 136, 194, 125, 183, 133, 191, 145, 203, 159, 217, 168, 226, 171, 229, 163, 221, 149, 207, 157, 215, 162, 220, 170, 228, 172, 230, 166, 224, 155, 213, 140, 198, 129, 187, 134, 192, 146, 204, 153, 211, 138, 196, 127, 185, 120, 178)(119, 177, 123, 181, 131, 189, 143, 201, 158, 216, 164, 222, 150, 208, 135, 193, 147, 205, 160, 218, 169, 227, 174, 232, 173, 231, 167, 225, 156, 214, 141, 199, 148, 206, 161, 219, 165, 223, 154, 212, 139, 197, 128, 186, 121, 179, 124, 182, 132, 190, 144, 202, 152, 210, 137, 195, 126, 184)
	L = (1, 119)(2, 123)(3, 125)(4, 126)(5, 117)(6, 131)(7, 133)(8, 118)(9, 135)(10, 136)(11, 137)(12, 120)(13, 121)(14, 143)(15, 145)(16, 122)(17, 147)(18, 124)(19, 149)(20, 150)(21, 151)(22, 152)(23, 127)(24, 128)(25, 129)(26, 158)(27, 159)(28, 130)(29, 160)(30, 132)(31, 157)(32, 134)(33, 156)(34, 163)(35, 164)(36, 142)(37, 144)(38, 138)(39, 139)(40, 140)(41, 141)(42, 168)(43, 169)(44, 162)(45, 146)(46, 148)(47, 167)(48, 171)(49, 153)(50, 154)(51, 155)(52, 174)(53, 170)(54, 161)(55, 173)(56, 165)(57, 166)(58, 172)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 116, 116 ), ( 116^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1300
Graph:: simple bipartite
	v = 60 e = 116 f = 2
	degree seq :: [ 2^58, 58^2 ]

E28.1317 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y2), (R * Y2)^2, Y3^2 * Y2^3, Y3^18 * Y2^-2, Y2^2 * Y3^-18, Y3^7 * Y2^-1 * Y3^10 * Y2^-1 * Y3, (Y2^-1 * Y3)^58, (Y3^-1 * Y1^-1)^58 ]
Map::
	R = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)(117, 175, 118, 176, 122, 180, 129, 187, 131, 189, 136, 194, 141, 199, 143, 201, 148, 206, 153, 211, 155, 213, 160, 218, 165, 223, 167, 225, 172, 230, 174, 232, 169, 227, 162, 220, 164, 222, 157, 215, 150, 208, 152, 210, 145, 203, 138, 196, 140, 198, 133, 191, 125, 183, 127, 185, 120, 178)(119, 177, 123, 181, 128, 186, 121, 179, 124, 182, 130, 188, 135, 193, 137, 195, 142, 200, 147, 205, 149, 207, 154, 212, 159, 217, 161, 219, 166, 224, 171, 229, 173, 231, 168, 226, 170, 228, 163, 221, 156, 214, 158, 216, 151, 209, 144, 202, 146, 204, 139, 197, 132, 190, 134, 192, 126, 184)
	L = (1, 119)(2, 123)(3, 125)(4, 126)(5, 117)(6, 128)(7, 127)(8, 118)(9, 132)(10, 133)(11, 134)(12, 120)(13, 121)(14, 122)(15, 124)(16, 138)(17, 139)(18, 140)(19, 129)(20, 130)(21, 131)(22, 144)(23, 145)(24, 146)(25, 135)(26, 136)(27, 137)(28, 150)(29, 151)(30, 152)(31, 141)(32, 142)(33, 143)(34, 156)(35, 157)(36, 158)(37, 147)(38, 148)(39, 149)(40, 162)(41, 163)(42, 164)(43, 153)(44, 154)(45, 155)(46, 168)(47, 169)(48, 170)(49, 159)(50, 160)(51, 161)(52, 172)(53, 173)(54, 174)(55, 165)(56, 166)(57, 167)(58, 171)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 116, 116 ), ( 116^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1301
Graph:: simple bipartite
	v = 60 e = 116 f = 2
	degree seq :: [ 2^58, 58^2 ]

E28.1318 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2^-1), Y3^-2 * Y2^3, Y3^-18 * Y2^-2, Y2^2 * Y3^18, Y2^-1 * Y3^-1 * Y2^-1 * Y3^-17, (Y3^-1 * Y1^-1)^58 ]
Map::
	R = (1, 59)(2, 60)(3, 61)(4, 62)(5, 63)(6, 64)(7, 65)(8, 66)(9, 67)(10, 68)(11, 69)(12, 70)(13, 71)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 78)(21, 79)(22, 80)(23, 81)(24, 82)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 97)(40, 98)(41, 99)(42, 100)(43, 101)(44, 102)(45, 103)(46, 104)(47, 105)(48, 106)(49, 107)(50, 108)(51, 109)(52, 110)(53, 111)(54, 112)(55, 113)(56, 114)(57, 115)(58, 116)(117, 175, 118, 176, 122, 180, 125, 183, 131, 189, 136, 194, 138, 196, 143, 201, 148, 206, 150, 208, 155, 213, 160, 218, 162, 220, 167, 225, 172, 230, 174, 232, 170, 228, 165, 223, 163, 221, 158, 216, 153, 211, 151, 209, 146, 204, 141, 199, 139, 197, 134, 192, 129, 187, 127, 185, 120, 178)(119, 177, 123, 181, 130, 188, 132, 190, 137, 195, 142, 200, 144, 202, 149, 207, 154, 212, 156, 214, 161, 219, 166, 224, 168, 226, 173, 231, 171, 229, 169, 227, 164, 222, 159, 217, 157, 215, 152, 210, 147, 205, 145, 203, 140, 198, 135, 193, 133, 191, 128, 186, 121, 179, 124, 182, 126, 184)
	L = (1, 119)(2, 123)(3, 125)(4, 126)(5, 117)(6, 130)(7, 131)(8, 118)(9, 132)(10, 122)(11, 124)(12, 120)(13, 121)(14, 136)(15, 137)(16, 138)(17, 127)(18, 128)(19, 129)(20, 142)(21, 143)(22, 144)(23, 133)(24, 134)(25, 135)(26, 148)(27, 149)(28, 150)(29, 139)(30, 140)(31, 141)(32, 154)(33, 155)(34, 156)(35, 145)(36, 146)(37, 147)(38, 160)(39, 161)(40, 162)(41, 151)(42, 152)(43, 153)(44, 166)(45, 167)(46, 168)(47, 157)(48, 158)(49, 159)(50, 172)(51, 173)(52, 174)(53, 163)(54, 164)(55, 165)(56, 171)(57, 170)(58, 169)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 116, 116 ), ( 116^58 ) }
Outer automorphisms :: reflexible
Dual of E28.1294
Graph:: simple bipartite
	v = 60 e = 116 f = 2
	degree seq :: [ 2^58, 58^2 ]

E28.1319 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3 * Y1^-1)^2, (Y3, Y1^-1), (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y1^2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y3^14 * Y1 * Y3^13 * Y1, (Y3 * Y2^-1)^29, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 11, 69, 15, 73, 19, 77, 23, 81, 27, 85, 31, 89, 35, 93, 39, 97, 43, 101, 47, 105, 51, 109, 55, 113, 58, 116, 54, 112, 50, 108, 46, 104, 42, 100, 38, 96, 34, 92, 30, 88, 26, 84, 22, 80, 18, 76, 14, 72, 10, 68, 5, 63, 8, 66, 3, 61, 7, 65, 12, 70, 16, 74, 20, 78, 24, 82, 28, 86, 32, 90, 36, 94, 40, 98, 44, 102, 48, 106, 52, 110, 56, 114, 57, 115, 53, 111, 49, 107, 45, 103, 41, 99, 37, 95, 33, 91, 29, 87, 25, 83, 21, 79, 17, 75, 13, 71, 9, 67, 4, 62)(117, 175)(118, 176)(119, 177)(120, 178)(121, 179)(122, 180)(123, 181)(124, 182)(125, 183)(126, 184)(127, 185)(128, 186)(129, 187)(130, 188)(131, 189)(132, 190)(133, 191)(134, 192)(135, 193)(136, 194)(137, 195)(138, 196)(139, 197)(140, 198)(141, 199)(142, 200)(143, 201)(144, 202)(145, 203)(146, 204)(147, 205)(148, 206)(149, 207)(150, 208)(151, 209)(152, 210)(153, 211)(154, 212)(155, 213)(156, 214)(157, 215)(158, 216)(159, 217)(160, 218)(161, 219)(162, 220)(163, 221)(164, 222)(165, 223)(166, 224)(167, 225)(168, 226)(169, 227)(170, 228)(171, 229)(172, 230)(173, 231)(174, 232)
	L = (1, 119)(2, 123)(3, 122)(4, 124)(5, 117)(6, 128)(7, 127)(8, 118)(9, 121)(10, 120)(11, 132)(12, 131)(13, 126)(14, 125)(15, 136)(16, 135)(17, 130)(18, 129)(19, 140)(20, 139)(21, 134)(22, 133)(23, 144)(24, 143)(25, 138)(26, 137)(27, 148)(28, 147)(29, 142)(30, 141)(31, 152)(32, 151)(33, 146)(34, 145)(35, 156)(36, 155)(37, 150)(38, 149)(39, 160)(40, 159)(41, 154)(42, 153)(43, 164)(44, 163)(45, 158)(46, 157)(47, 168)(48, 167)(49, 162)(50, 161)(51, 172)(52, 171)(53, 166)(54, 165)(55, 173)(56, 174)(57, 170)(58, 169)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 58, 116 ), ( 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.1292
Graph:: bipartite
	v = 59 e = 116 f = 3
	degree seq :: [ 2^58, 116 ]

E28.1320 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1^-1, Y3), (Y1, Y3^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^4 * Y1^-1 * Y3 * Y1^-1 * Y3, Y1^6 * Y3^-1 * Y1^4, (Y3 * Y2^-1)^29, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 14, 72, 26, 84, 39, 97, 46, 104, 34, 92, 21, 79, 10, 68, 3, 61, 7, 65, 15, 73, 27, 85, 40, 98, 51, 109, 55, 113, 45, 103, 33, 91, 20, 78, 9, 67, 17, 75, 29, 87, 42, 100, 52, 110, 58, 116, 50, 108, 38, 96, 25, 83, 32, 90, 19, 77, 31, 89, 44, 102, 54, 112, 57, 115, 49, 107, 37, 95, 24, 82, 13, 71, 18, 76, 30, 88, 43, 101, 53, 111, 56, 114, 48, 106, 36, 94, 23, 81, 12, 70, 5, 63, 8, 66, 16, 74, 28, 86, 41, 99, 47, 105, 35, 93, 22, 80, 11, 69, 4, 62)(117, 175)(118, 176)(119, 177)(120, 178)(121, 179)(122, 180)(123, 181)(124, 182)(125, 183)(126, 184)(127, 185)(128, 186)(129, 187)(130, 188)(131, 189)(132, 190)(133, 191)(134, 192)(135, 193)(136, 194)(137, 195)(138, 196)(139, 197)(140, 198)(141, 199)(142, 200)(143, 201)(144, 202)(145, 203)(146, 204)(147, 205)(148, 206)(149, 207)(150, 208)(151, 209)(152, 210)(153, 211)(154, 212)(155, 213)(156, 214)(157, 215)(158, 216)(159, 217)(160, 218)(161, 219)(162, 220)(163, 221)(164, 222)(165, 223)(166, 224)(167, 225)(168, 226)(169, 227)(170, 228)(171, 229)(172, 230)(173, 231)(174, 232)
	L = (1, 119)(2, 123)(3, 125)(4, 126)(5, 117)(6, 131)(7, 133)(8, 118)(9, 135)(10, 136)(11, 137)(12, 120)(13, 121)(14, 143)(15, 145)(16, 122)(17, 147)(18, 124)(19, 146)(20, 148)(21, 149)(22, 150)(23, 127)(24, 128)(25, 129)(26, 156)(27, 158)(28, 130)(29, 160)(30, 132)(31, 159)(32, 134)(33, 141)(34, 161)(35, 162)(36, 138)(37, 139)(38, 140)(39, 167)(40, 168)(41, 142)(42, 170)(43, 144)(44, 169)(45, 154)(46, 171)(47, 155)(48, 151)(49, 152)(50, 153)(51, 174)(52, 173)(53, 157)(54, 172)(55, 166)(56, 163)(57, 164)(58, 165)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 58, 116 ), ( 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.1278
Graph:: bipartite
	v = 59 e = 116 f = 3
	degree seq :: [ 2^58, 116 ]

E28.1321 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1^-1, Y3^-1), (R * Y3)^2, (R * Y1)^2, (Y3, Y1), (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-4, Y1^3 * Y3^-1 * Y1^-4 * Y3 * Y1, Y1^5 * Y3 * Y1^5, Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1, (Y3 * Y2^-1)^29, Y3^107 * Y1^-2 * Y3^3 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 14, 72, 26, 84, 39, 97, 50, 108, 38, 96, 23, 81, 12, 70, 5, 63, 8, 66, 16, 74, 28, 86, 41, 99, 51, 109, 55, 113, 45, 103, 33, 91, 24, 82, 13, 71, 18, 76, 30, 88, 43, 101, 53, 111, 56, 114, 46, 104, 34, 92, 19, 77, 31, 89, 25, 83, 32, 90, 44, 102, 54, 112, 57, 115, 47, 105, 35, 93, 20, 78, 9, 67, 17, 75, 29, 87, 42, 100, 52, 110, 58, 116, 48, 106, 36, 94, 21, 79, 10, 68, 3, 61, 7, 65, 15, 73, 27, 85, 40, 98, 49, 107, 37, 95, 22, 80, 11, 69, 4, 62)(117, 175)(118, 176)(119, 177)(120, 178)(121, 179)(122, 180)(123, 181)(124, 182)(125, 183)(126, 184)(127, 185)(128, 186)(129, 187)(130, 188)(131, 189)(132, 190)(133, 191)(134, 192)(135, 193)(136, 194)(137, 195)(138, 196)(139, 197)(140, 198)(141, 199)(142, 200)(143, 201)(144, 202)(145, 203)(146, 204)(147, 205)(148, 206)(149, 207)(150, 208)(151, 209)(152, 210)(153, 211)(154, 212)(155, 213)(156, 214)(157, 215)(158, 216)(159, 217)(160, 218)(161, 219)(162, 220)(163, 221)(164, 222)(165, 223)(166, 224)(167, 225)(168, 226)(169, 227)(170, 228)(171, 229)(172, 230)(173, 231)(174, 232)
	L = (1, 119)(2, 123)(3, 125)(4, 126)(5, 117)(6, 131)(7, 133)(8, 118)(9, 135)(10, 136)(11, 137)(12, 120)(13, 121)(14, 143)(15, 145)(16, 122)(17, 147)(18, 124)(19, 149)(20, 150)(21, 151)(22, 152)(23, 127)(24, 128)(25, 129)(26, 156)(27, 158)(28, 130)(29, 141)(30, 132)(31, 140)(32, 134)(33, 139)(34, 161)(35, 162)(36, 163)(37, 164)(38, 138)(39, 165)(40, 168)(41, 142)(42, 148)(43, 144)(44, 146)(45, 154)(46, 171)(47, 172)(48, 173)(49, 174)(50, 153)(51, 155)(52, 160)(53, 157)(54, 159)(55, 166)(56, 167)(57, 169)(58, 170)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 58, 116 ), ( 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.1291
Graph:: bipartite
	v = 59 e = 116 f = 3
	degree seq :: [ 2^58, 116 ]

E28.1322 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1, Y1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y1^5, Y3^3 * Y1^-1 * Y3^6 * Y1^-1 * Y3, Y3 * Y1 * Y3^3 * Y1 * Y3^5 * Y1^2, (Y3 * Y2^-1)^29, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^2 * Y1 * Y3^3 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 14, 72, 21, 79, 10, 68, 3, 61, 7, 65, 15, 73, 26, 84, 33, 91, 20, 78, 9, 67, 17, 75, 27, 85, 38, 96, 45, 103, 32, 90, 19, 77, 29, 87, 39, 97, 50, 108, 55, 113, 44, 102, 31, 89, 41, 99, 51, 109, 58, 116, 49, 107, 54, 112, 43, 101, 53, 111, 57, 115, 48, 106, 37, 95, 42, 100, 52, 110, 56, 114, 47, 105, 36, 94, 25, 83, 30, 88, 40, 98, 46, 104, 35, 93, 24, 82, 13, 71, 18, 76, 28, 86, 34, 92, 23, 81, 12, 70, 5, 63, 8, 66, 16, 74, 22, 80, 11, 69, 4, 62)(117, 175)(118, 176)(119, 177)(120, 178)(121, 179)(122, 180)(123, 181)(124, 182)(125, 183)(126, 184)(127, 185)(128, 186)(129, 187)(130, 188)(131, 189)(132, 190)(133, 191)(134, 192)(135, 193)(136, 194)(137, 195)(138, 196)(139, 197)(140, 198)(141, 199)(142, 200)(143, 201)(144, 202)(145, 203)(146, 204)(147, 205)(148, 206)(149, 207)(150, 208)(151, 209)(152, 210)(153, 211)(154, 212)(155, 213)(156, 214)(157, 215)(158, 216)(159, 217)(160, 218)(161, 219)(162, 220)(163, 221)(164, 222)(165, 223)(166, 224)(167, 225)(168, 226)(169, 227)(170, 228)(171, 229)(172, 230)(173, 231)(174, 232)
	L = (1, 119)(2, 123)(3, 125)(4, 126)(5, 117)(6, 131)(7, 133)(8, 118)(9, 135)(10, 136)(11, 137)(12, 120)(13, 121)(14, 142)(15, 143)(16, 122)(17, 145)(18, 124)(19, 147)(20, 148)(21, 149)(22, 130)(23, 127)(24, 128)(25, 129)(26, 154)(27, 155)(28, 132)(29, 157)(30, 134)(31, 159)(32, 160)(33, 161)(34, 138)(35, 139)(36, 140)(37, 141)(38, 166)(39, 167)(40, 144)(41, 169)(42, 146)(43, 168)(44, 170)(45, 171)(46, 150)(47, 151)(48, 152)(49, 153)(50, 174)(51, 173)(52, 156)(53, 172)(54, 158)(55, 165)(56, 162)(57, 163)(58, 164)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 58, 116 ), ( 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.1273
Graph:: bipartite
	v = 59 e = 116 f = 3
	degree seq :: [ 2^58, 116 ]

E28.1323 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3, Y1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^3 * Y3 * Y1^3, Y3^-2 * Y1^2 * Y3^2 * Y1^-2, Y3^-1 * Y1^-1 * Y3^-3 * Y1^-1 * Y3^-6, Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^2 * Y3^-3, (Y3 * Y2^-1)^29, Y1^-2 * Y3^5 * Y1^-2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 14, 72, 23, 81, 12, 70, 5, 63, 8, 66, 16, 74, 26, 84, 35, 93, 24, 82, 13, 71, 18, 76, 28, 86, 38, 96, 47, 105, 36, 94, 25, 83, 30, 88, 40, 98, 50, 108, 55, 113, 48, 106, 37, 95, 42, 100, 52, 110, 56, 114, 43, 101, 53, 111, 49, 107, 54, 112, 57, 115, 44, 102, 31, 89, 41, 99, 51, 109, 58, 116, 45, 103, 32, 90, 19, 77, 29, 87, 39, 97, 46, 104, 33, 91, 20, 78, 9, 67, 17, 75, 27, 85, 34, 92, 21, 79, 10, 68, 3, 61, 7, 65, 15, 73, 22, 80, 11, 69, 4, 62)(117, 175)(118, 176)(119, 177)(120, 178)(121, 179)(122, 180)(123, 181)(124, 182)(125, 183)(126, 184)(127, 185)(128, 186)(129, 187)(130, 188)(131, 189)(132, 190)(133, 191)(134, 192)(135, 193)(136, 194)(137, 195)(138, 196)(139, 197)(140, 198)(141, 199)(142, 200)(143, 201)(144, 202)(145, 203)(146, 204)(147, 205)(148, 206)(149, 207)(150, 208)(151, 209)(152, 210)(153, 211)(154, 212)(155, 213)(156, 214)(157, 215)(158, 216)(159, 217)(160, 218)(161, 219)(162, 220)(163, 221)(164, 222)(165, 223)(166, 224)(167, 225)(168, 226)(169, 227)(170, 228)(171, 229)(172, 230)(173, 231)(174, 232)
	L = (1, 119)(2, 123)(3, 125)(4, 126)(5, 117)(6, 131)(7, 133)(8, 118)(9, 135)(10, 136)(11, 137)(12, 120)(13, 121)(14, 138)(15, 143)(16, 122)(17, 145)(18, 124)(19, 147)(20, 148)(21, 149)(22, 150)(23, 127)(24, 128)(25, 129)(26, 130)(27, 155)(28, 132)(29, 157)(30, 134)(31, 159)(32, 160)(33, 161)(34, 162)(35, 139)(36, 140)(37, 141)(38, 142)(39, 167)(40, 144)(41, 169)(42, 146)(43, 171)(44, 172)(45, 173)(46, 174)(47, 151)(48, 152)(49, 153)(50, 154)(51, 165)(52, 156)(53, 164)(54, 158)(55, 163)(56, 166)(57, 168)(58, 170)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 58, 116 ), ( 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.1277
Graph:: bipartite
	v = 59 e = 116 f = 3
	degree seq :: [ 2^58, 116 ]

E28.1324 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (Y3^-1, Y1), (R * Y1)^2, Y3 * Y1^4, (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y1 * Y3^-13, Y1 * Y3^-3 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-4, (Y3 * Y2^-1)^29 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 12, 70, 5, 63, 8, 66, 14, 72, 20, 78, 13, 71, 16, 74, 22, 80, 28, 86, 21, 79, 24, 82, 30, 88, 36, 94, 29, 87, 32, 90, 38, 96, 44, 102, 37, 95, 40, 98, 46, 104, 52, 110, 45, 103, 48, 106, 54, 112, 58, 116, 53, 111, 56, 114, 49, 107, 55, 113, 57, 115, 50, 108, 41, 99, 47, 105, 51, 109, 42, 100, 33, 91, 39, 97, 43, 101, 34, 92, 25, 83, 31, 89, 35, 93, 26, 84, 17, 75, 23, 81, 27, 85, 18, 76, 9, 67, 15, 73, 19, 77, 10, 68, 3, 61, 7, 65, 11, 69, 4, 62)(117, 175)(118, 176)(119, 177)(120, 178)(121, 179)(122, 180)(123, 181)(124, 182)(125, 183)(126, 184)(127, 185)(128, 186)(129, 187)(130, 188)(131, 189)(132, 190)(133, 191)(134, 192)(135, 193)(136, 194)(137, 195)(138, 196)(139, 197)(140, 198)(141, 199)(142, 200)(143, 201)(144, 202)(145, 203)(146, 204)(147, 205)(148, 206)(149, 207)(150, 208)(151, 209)(152, 210)(153, 211)(154, 212)(155, 213)(156, 214)(157, 215)(158, 216)(159, 217)(160, 218)(161, 219)(162, 220)(163, 221)(164, 222)(165, 223)(166, 224)(167, 225)(168, 226)(169, 227)(170, 228)(171, 229)(172, 230)(173, 231)(174, 232)
	L = (1, 119)(2, 123)(3, 125)(4, 126)(5, 117)(6, 127)(7, 131)(8, 118)(9, 133)(10, 134)(11, 135)(12, 120)(13, 121)(14, 122)(15, 139)(16, 124)(17, 141)(18, 142)(19, 143)(20, 128)(21, 129)(22, 130)(23, 147)(24, 132)(25, 149)(26, 150)(27, 151)(28, 136)(29, 137)(30, 138)(31, 155)(32, 140)(33, 157)(34, 158)(35, 159)(36, 144)(37, 145)(38, 146)(39, 163)(40, 148)(41, 165)(42, 166)(43, 167)(44, 152)(45, 153)(46, 154)(47, 171)(48, 156)(49, 170)(50, 172)(51, 173)(52, 160)(53, 161)(54, 162)(55, 174)(56, 164)(57, 169)(58, 168)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 58, 116 ), ( 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.1285
Graph:: bipartite
	v = 59 e = 116 f = 3
	degree seq :: [ 2^58, 116 ]

E28.1325 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), Y3^-1 * Y1^4, (R * Y2 * Y3^-1)^2, Y1 * Y3 * Y1 * Y3^13, (Y3 * Y2^-1)^29, (Y1^-1 * Y3^-1)^58 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 10, 68, 3, 61, 7, 65, 14, 72, 18, 76, 9, 67, 15, 73, 22, 80, 26, 84, 17, 75, 23, 81, 30, 88, 34, 92, 25, 83, 31, 89, 38, 96, 42, 100, 33, 91, 39, 97, 46, 104, 50, 108, 41, 99, 47, 105, 54, 112, 58, 116, 49, 107, 55, 113, 53, 111, 56, 114, 57, 115, 52, 110, 45, 103, 48, 106, 51, 109, 44, 102, 37, 95, 40, 98, 43, 101, 36, 94, 29, 87, 32, 90, 35, 93, 28, 86, 21, 79, 24, 82, 27, 85, 20, 78, 13, 71, 16, 74, 19, 77, 12, 70, 5, 63, 8, 66, 11, 69, 4, 62)(117, 175)(118, 176)(119, 177)(120, 178)(121, 179)(122, 180)(123, 181)(124, 182)(125, 183)(126, 184)(127, 185)(128, 186)(129, 187)(130, 188)(131, 189)(132, 190)(133, 191)(134, 192)(135, 193)(136, 194)(137, 195)(138, 196)(139, 197)(140, 198)(141, 199)(142, 200)(143, 201)(144, 202)(145, 203)(146, 204)(147, 205)(148, 206)(149, 207)(150, 208)(151, 209)(152, 210)(153, 211)(154, 212)(155, 213)(156, 214)(157, 215)(158, 216)(159, 217)(160, 218)(161, 219)(162, 220)(163, 221)(164, 222)(165, 223)(166, 224)(167, 225)(168, 226)(169, 227)(170, 228)(171, 229)(172, 230)(173, 231)(174, 232)
	L = (1, 119)(2, 123)(3, 125)(4, 126)(5, 117)(6, 130)(7, 131)(8, 118)(9, 133)(10, 134)(11, 122)(12, 120)(13, 121)(14, 138)(15, 139)(16, 124)(17, 141)(18, 142)(19, 127)(20, 128)(21, 129)(22, 146)(23, 147)(24, 132)(25, 149)(26, 150)(27, 135)(28, 136)(29, 137)(30, 154)(31, 155)(32, 140)(33, 157)(34, 158)(35, 143)(36, 144)(37, 145)(38, 162)(39, 163)(40, 148)(41, 165)(42, 166)(43, 151)(44, 152)(45, 153)(46, 170)(47, 171)(48, 156)(49, 173)(50, 174)(51, 159)(52, 160)(53, 161)(54, 169)(55, 168)(56, 164)(57, 167)(58, 172)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 58, 116 ), ( 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.1274
Graph:: bipartite
	v = 59 e = 116 f = 3
	degree seq :: [ 2^58, 116 ]

E28.1326 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3, Y1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^-3 * Y3^-2 * Y1^-2 * Y3^-2 * Y1^-1, Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-5 * Y1, (Y3 * Y2^-1)^29, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-2 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 14, 72, 26, 84, 42, 100, 41, 99, 50, 108, 53, 111, 34, 92, 19, 77, 31, 89, 47, 105, 38, 96, 23, 81, 12, 70, 5, 63, 8, 66, 16, 74, 28, 86, 44, 102, 57, 115, 56, 114, 54, 112, 35, 93, 20, 78, 9, 67, 17, 75, 29, 87, 45, 103, 39, 97, 24, 82, 13, 71, 18, 76, 30, 88, 46, 104, 51, 109, 58, 116, 55, 113, 36, 94, 21, 79, 10, 68, 3, 61, 7, 65, 15, 73, 27, 85, 43, 101, 40, 98, 25, 83, 32, 90, 48, 106, 52, 110, 33, 91, 49, 107, 37, 95, 22, 80, 11, 69, 4, 62)(117, 175)(118, 176)(119, 177)(120, 178)(121, 179)(122, 180)(123, 181)(124, 182)(125, 183)(126, 184)(127, 185)(128, 186)(129, 187)(130, 188)(131, 189)(132, 190)(133, 191)(134, 192)(135, 193)(136, 194)(137, 195)(138, 196)(139, 197)(140, 198)(141, 199)(142, 200)(143, 201)(144, 202)(145, 203)(146, 204)(147, 205)(148, 206)(149, 207)(150, 208)(151, 209)(152, 210)(153, 211)(154, 212)(155, 213)(156, 214)(157, 215)(158, 216)(159, 217)(160, 218)(161, 219)(162, 220)(163, 221)(164, 222)(165, 223)(166, 224)(167, 225)(168, 226)(169, 227)(170, 228)(171, 229)(172, 230)(173, 231)(174, 232)
	L = (1, 119)(2, 123)(3, 125)(4, 126)(5, 117)(6, 131)(7, 133)(8, 118)(9, 135)(10, 136)(11, 137)(12, 120)(13, 121)(14, 143)(15, 145)(16, 122)(17, 147)(18, 124)(19, 149)(20, 150)(21, 151)(22, 152)(23, 127)(24, 128)(25, 129)(26, 159)(27, 161)(28, 130)(29, 163)(30, 132)(31, 165)(32, 134)(33, 167)(34, 168)(35, 169)(36, 170)(37, 171)(38, 138)(39, 139)(40, 140)(41, 141)(42, 156)(43, 155)(44, 142)(45, 154)(46, 144)(47, 153)(48, 146)(49, 174)(50, 148)(51, 160)(52, 162)(53, 164)(54, 166)(55, 172)(56, 157)(57, 158)(58, 173)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 58, 116 ), ( 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.1269
Graph:: bipartite
	v = 59 e = 116 f = 3
	degree seq :: [ 2^58, 116 ]

E28.1327 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1, Y3^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^-6 * Y3^4, Y1^2 * Y3 * Y1 * Y3 * Y1 * Y3^5, Y3^11 * Y1^-2, Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3^2, Y3^29, (Y3 * Y2^-1)^29 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 14, 72, 26, 84, 42, 100, 33, 91, 49, 107, 54, 112, 40, 98, 25, 83, 32, 90, 48, 106, 36, 94, 21, 79, 10, 68, 3, 61, 7, 65, 15, 73, 27, 85, 43, 101, 57, 115, 51, 109, 53, 111, 39, 97, 24, 82, 13, 71, 18, 76, 30, 88, 46, 104, 35, 93, 20, 78, 9, 67, 17, 75, 29, 87, 45, 103, 56, 114, 58, 116, 52, 110, 38, 96, 23, 81, 12, 70, 5, 63, 8, 66, 16, 74, 28, 86, 44, 102, 34, 92, 19, 77, 31, 89, 47, 105, 55, 113, 41, 99, 50, 108, 37, 95, 22, 80, 11, 69, 4, 62)(117, 175)(118, 176)(119, 177)(120, 178)(121, 179)(122, 180)(123, 181)(124, 182)(125, 183)(126, 184)(127, 185)(128, 186)(129, 187)(130, 188)(131, 189)(132, 190)(133, 191)(134, 192)(135, 193)(136, 194)(137, 195)(138, 196)(139, 197)(140, 198)(141, 199)(142, 200)(143, 201)(144, 202)(145, 203)(146, 204)(147, 205)(148, 206)(149, 207)(150, 208)(151, 209)(152, 210)(153, 211)(154, 212)(155, 213)(156, 214)(157, 215)(158, 216)(159, 217)(160, 218)(161, 219)(162, 220)(163, 221)(164, 222)(165, 223)(166, 224)(167, 225)(168, 226)(169, 227)(170, 228)(171, 229)(172, 230)(173, 231)(174, 232)
	L = (1, 119)(2, 123)(3, 125)(4, 126)(5, 117)(6, 131)(7, 133)(8, 118)(9, 135)(10, 136)(11, 137)(12, 120)(13, 121)(14, 143)(15, 145)(16, 122)(17, 147)(18, 124)(19, 149)(20, 150)(21, 151)(22, 152)(23, 127)(24, 128)(25, 129)(26, 159)(27, 161)(28, 130)(29, 163)(30, 132)(31, 165)(32, 134)(33, 167)(34, 158)(35, 160)(36, 162)(37, 164)(38, 138)(39, 139)(40, 140)(41, 141)(42, 173)(43, 172)(44, 142)(45, 171)(46, 144)(47, 170)(48, 146)(49, 169)(50, 148)(51, 168)(52, 153)(53, 154)(54, 155)(55, 156)(56, 157)(57, 174)(58, 166)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 58, 116 ), ( 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.1286
Graph:: bipartite
	v = 59 e = 116 f = 3
	degree seq :: [ 2^58, 116 ]

E28.1328 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y3^2 * Y1 * Y3^4, Y1 * Y3^-1 * Y1^7, (Y3 * Y2^-1)^29, (Y1^-1 * Y3^-1)^58 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 14, 72, 26, 84, 36, 94, 21, 79, 10, 68, 3, 61, 7, 65, 15, 73, 27, 85, 42, 100, 49, 107, 35, 93, 20, 78, 9, 67, 17, 75, 29, 87, 43, 101, 52, 110, 56, 114, 48, 106, 34, 92, 19, 77, 31, 89, 41, 99, 46, 104, 54, 112, 58, 116, 55, 113, 47, 105, 33, 91, 40, 98, 25, 83, 32, 90, 45, 103, 53, 111, 57, 115, 51, 109, 39, 97, 24, 82, 13, 71, 18, 76, 30, 88, 44, 102, 50, 108, 38, 96, 23, 81, 12, 70, 5, 63, 8, 66, 16, 74, 28, 86, 37, 95, 22, 80, 11, 69, 4, 62)(117, 175)(118, 176)(119, 177)(120, 178)(121, 179)(122, 180)(123, 181)(124, 182)(125, 183)(126, 184)(127, 185)(128, 186)(129, 187)(130, 188)(131, 189)(132, 190)(133, 191)(134, 192)(135, 193)(136, 194)(137, 195)(138, 196)(139, 197)(140, 198)(141, 199)(142, 200)(143, 201)(144, 202)(145, 203)(146, 204)(147, 205)(148, 206)(149, 207)(150, 208)(151, 209)(152, 210)(153, 211)(154, 212)(155, 213)(156, 214)(157, 215)(158, 216)(159, 217)(160, 218)(161, 219)(162, 220)(163, 221)(164, 222)(165, 223)(166, 224)(167, 225)(168, 226)(169, 227)(170, 228)(171, 229)(172, 230)(173, 231)(174, 232)
	L = (1, 119)(2, 123)(3, 125)(4, 126)(5, 117)(6, 131)(7, 133)(8, 118)(9, 135)(10, 136)(11, 137)(12, 120)(13, 121)(14, 143)(15, 145)(16, 122)(17, 147)(18, 124)(19, 149)(20, 150)(21, 151)(22, 152)(23, 127)(24, 128)(25, 129)(26, 158)(27, 159)(28, 130)(29, 157)(30, 132)(31, 156)(32, 134)(33, 155)(34, 163)(35, 164)(36, 165)(37, 142)(38, 138)(39, 139)(40, 140)(41, 141)(42, 168)(43, 162)(44, 144)(45, 146)(46, 148)(47, 167)(48, 171)(49, 172)(50, 153)(51, 154)(52, 170)(53, 160)(54, 161)(55, 173)(56, 174)(57, 166)(58, 169)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 58, 116 ), ( 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.1288
Graph:: bipartite
	v = 59 e = 116 f = 3
	degree seq :: [ 2^58, 116 ]

E28.1329 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, Y1^2 * Y3^2 * Y1^-2 * Y3^-2, Y3^-1 * Y1 * Y3^-6 * Y1, Y1^4 * Y3 * Y1^4, (Y3 * Y2^-1)^29, (Y1^-1 * Y3^-1)^58 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 14, 72, 26, 84, 38, 96, 23, 81, 12, 70, 5, 63, 8, 66, 16, 74, 28, 86, 42, 100, 49, 107, 39, 97, 24, 82, 13, 71, 18, 76, 30, 88, 44, 102, 52, 110, 56, 114, 50, 108, 40, 98, 25, 83, 32, 90, 33, 91, 46, 104, 54, 112, 58, 116, 57, 115, 51, 109, 41, 99, 34, 92, 19, 77, 31, 89, 45, 103, 53, 111, 55, 113, 47, 105, 35, 93, 20, 78, 9, 67, 17, 75, 29, 87, 43, 101, 48, 106, 36, 94, 21, 79, 10, 68, 3, 61, 7, 65, 15, 73, 27, 85, 37, 95, 22, 80, 11, 69, 4, 62)(117, 175)(118, 176)(119, 177)(120, 178)(121, 179)(122, 180)(123, 181)(124, 182)(125, 183)(126, 184)(127, 185)(128, 186)(129, 187)(130, 188)(131, 189)(132, 190)(133, 191)(134, 192)(135, 193)(136, 194)(137, 195)(138, 196)(139, 197)(140, 198)(141, 199)(142, 200)(143, 201)(144, 202)(145, 203)(146, 204)(147, 205)(148, 206)(149, 207)(150, 208)(151, 209)(152, 210)(153, 211)(154, 212)(155, 213)(156, 214)(157, 215)(158, 216)(159, 217)(160, 218)(161, 219)(162, 220)(163, 221)(164, 222)(165, 223)(166, 224)(167, 225)(168, 226)(169, 227)(170, 228)(171, 229)(172, 230)(173, 231)(174, 232)
	L = (1, 119)(2, 123)(3, 125)(4, 126)(5, 117)(6, 131)(7, 133)(8, 118)(9, 135)(10, 136)(11, 137)(12, 120)(13, 121)(14, 143)(15, 145)(16, 122)(17, 147)(18, 124)(19, 149)(20, 150)(21, 151)(22, 152)(23, 127)(24, 128)(25, 129)(26, 153)(27, 159)(28, 130)(29, 161)(30, 132)(31, 162)(32, 134)(33, 146)(34, 148)(35, 157)(36, 163)(37, 164)(38, 138)(39, 139)(40, 140)(41, 141)(42, 142)(43, 169)(44, 144)(45, 170)(46, 160)(47, 167)(48, 171)(49, 154)(50, 155)(51, 156)(52, 158)(53, 174)(54, 168)(55, 173)(56, 165)(57, 166)(58, 172)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 58, 116 ), ( 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.1270
Graph:: bipartite
	v = 59 e = 116 f = 3
	degree seq :: [ 2^58, 116 ]

E28.1330 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y1^-1), Y3^3 * Y1^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^-7 * Y3^-1 * Y1^7, Y1^18 * Y3^-2, Y3^2 * Y1^-18, Y1^18 * Y3^-2, (Y3 * Y2^-1)^29 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 14, 72, 20, 78, 26, 84, 32, 90, 38, 96, 44, 102, 50, 108, 56, 114, 53, 111, 47, 105, 41, 99, 35, 93, 29, 87, 23, 81, 17, 75, 9, 67, 12, 70, 5, 63, 8, 66, 15, 73, 21, 79, 27, 85, 33, 91, 39, 97, 45, 103, 51, 109, 57, 115, 54, 112, 48, 106, 42, 100, 36, 94, 30, 88, 24, 82, 18, 76, 10, 68, 3, 61, 7, 65, 13, 71, 16, 74, 22, 80, 28, 86, 34, 92, 40, 98, 46, 104, 52, 110, 58, 116, 55, 113, 49, 107, 43, 101, 37, 95, 31, 89, 25, 83, 19, 77, 11, 69, 4, 62)(117, 175)(118, 176)(119, 177)(120, 178)(121, 179)(122, 180)(123, 181)(124, 182)(125, 183)(126, 184)(127, 185)(128, 186)(129, 187)(130, 188)(131, 189)(132, 190)(133, 191)(134, 192)(135, 193)(136, 194)(137, 195)(138, 196)(139, 197)(140, 198)(141, 199)(142, 200)(143, 201)(144, 202)(145, 203)(146, 204)(147, 205)(148, 206)(149, 207)(150, 208)(151, 209)(152, 210)(153, 211)(154, 212)(155, 213)(156, 214)(157, 215)(158, 216)(159, 217)(160, 218)(161, 219)(162, 220)(163, 221)(164, 222)(165, 223)(166, 224)(167, 225)(168, 226)(169, 227)(170, 228)(171, 229)(172, 230)(173, 231)(174, 232)
	L = (1, 119)(2, 123)(3, 125)(4, 126)(5, 117)(6, 129)(7, 128)(8, 118)(9, 127)(10, 133)(11, 134)(12, 120)(13, 121)(14, 132)(15, 122)(16, 124)(17, 135)(18, 139)(19, 140)(20, 138)(21, 130)(22, 131)(23, 141)(24, 145)(25, 146)(26, 144)(27, 136)(28, 137)(29, 147)(30, 151)(31, 152)(32, 150)(33, 142)(34, 143)(35, 153)(36, 157)(37, 158)(38, 156)(39, 148)(40, 149)(41, 159)(42, 163)(43, 164)(44, 162)(45, 154)(46, 155)(47, 165)(48, 169)(49, 170)(50, 168)(51, 160)(52, 161)(53, 171)(54, 172)(55, 173)(56, 174)(57, 166)(58, 167)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 58, 116 ), ( 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.1268
Graph:: bipartite
	v = 59 e = 116 f = 3
	degree seq :: [ 2^58, 116 ]

E28.1331 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1, Y3), (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y1^-6 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-10, (Y3 * Y2^-1)^29, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 14, 72, 20, 78, 26, 84, 32, 90, 38, 96, 44, 102, 50, 108, 56, 114, 55, 113, 49, 107, 43, 101, 37, 95, 31, 89, 25, 83, 19, 77, 13, 71, 10, 68, 3, 61, 7, 65, 15, 73, 21, 79, 27, 85, 33, 91, 39, 97, 45, 103, 51, 109, 57, 115, 54, 112, 48, 106, 42, 100, 36, 94, 30, 88, 24, 82, 18, 76, 12, 70, 5, 63, 8, 66, 9, 67, 16, 74, 22, 80, 28, 86, 34, 92, 40, 98, 46, 104, 52, 110, 58, 116, 53, 111, 47, 105, 41, 99, 35, 93, 29, 87, 23, 81, 17, 75, 11, 69, 4, 62)(117, 175)(118, 176)(119, 177)(120, 178)(121, 179)(122, 180)(123, 181)(124, 182)(125, 183)(126, 184)(127, 185)(128, 186)(129, 187)(130, 188)(131, 189)(132, 190)(133, 191)(134, 192)(135, 193)(136, 194)(137, 195)(138, 196)(139, 197)(140, 198)(141, 199)(142, 200)(143, 201)(144, 202)(145, 203)(146, 204)(147, 205)(148, 206)(149, 207)(150, 208)(151, 209)(152, 210)(153, 211)(154, 212)(155, 213)(156, 214)(157, 215)(158, 216)(159, 217)(160, 218)(161, 219)(162, 220)(163, 221)(164, 222)(165, 223)(166, 224)(167, 225)(168, 226)(169, 227)(170, 228)(171, 229)(172, 230)(173, 231)(174, 232)
	L = (1, 119)(2, 123)(3, 125)(4, 126)(5, 117)(6, 131)(7, 132)(8, 118)(9, 122)(10, 124)(11, 129)(12, 120)(13, 121)(14, 137)(15, 138)(16, 130)(17, 135)(18, 127)(19, 128)(20, 143)(21, 144)(22, 136)(23, 141)(24, 133)(25, 134)(26, 149)(27, 150)(28, 142)(29, 147)(30, 139)(31, 140)(32, 155)(33, 156)(34, 148)(35, 153)(36, 145)(37, 146)(38, 161)(39, 162)(40, 154)(41, 159)(42, 151)(43, 152)(44, 167)(45, 168)(46, 160)(47, 165)(48, 157)(49, 158)(50, 173)(51, 174)(52, 166)(53, 171)(54, 163)(55, 164)(56, 170)(57, 169)(58, 172)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 58, 116 ), ( 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.1287
Graph:: bipartite
	v = 59 e = 116 f = 3
	degree seq :: [ 2^58, 116 ]

E28.1332 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^-2 * Y3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^29, (Y3 * Y2^-1)^29, (Y3^-1 * Y1^-1)^58 ]
Map::
	R = (1, 59, 2, 60, 3, 61, 6, 64, 7, 65, 10, 68, 11, 69, 14, 72, 15, 73, 18, 76, 19, 77, 22, 80, 23, 81, 26, 84, 27, 85, 45, 103, 42, 100, 41, 99, 38, 96, 37, 95, 34, 92, 33, 91, 30, 88, 31, 89, 32, 90, 35, 93, 36, 94, 39, 97, 40, 98, 43, 101, 44, 102, 46, 104, 47, 105, 48, 106, 49, 107, 50, 108, 51, 109, 58, 116, 57, 115, 56, 114, 55, 113, 54, 112, 53, 111, 52, 110, 29, 87, 28, 86, 25, 83, 24, 82, 21, 79, 20, 78, 17, 75, 16, 74, 13, 71, 12, 70, 9, 67, 8, 66, 5, 63, 4, 62)(117, 175)(118, 176)(119, 177)(120, 178)(121, 179)(122, 180)(123, 181)(124, 182)(125, 183)(126, 184)(127, 185)(128, 186)(129, 187)(130, 188)(131, 189)(132, 190)(133, 191)(134, 192)(135, 193)(136, 194)(137, 195)(138, 196)(139, 197)(140, 198)(141, 199)(142, 200)(143, 201)(144, 202)(145, 203)(146, 204)(147, 205)(148, 206)(149, 207)(150, 208)(151, 209)(152, 210)(153, 211)(154, 212)(155, 213)(156, 214)(157, 215)(158, 216)(159, 217)(160, 218)(161, 219)(162, 220)(163, 221)(164, 222)(165, 223)(166, 224)(167, 225)(168, 226)(169, 227)(170, 228)(171, 229)(172, 230)(173, 231)(174, 232)
	L = (1, 119)(2, 122)(3, 123)(4, 118)(5, 117)(6, 126)(7, 127)(8, 120)(9, 121)(10, 130)(11, 131)(12, 124)(13, 125)(14, 134)(15, 135)(16, 128)(17, 129)(18, 138)(19, 139)(20, 132)(21, 133)(22, 142)(23, 143)(24, 136)(25, 137)(26, 161)(27, 158)(28, 140)(29, 141)(30, 148)(31, 151)(32, 152)(33, 147)(34, 146)(35, 155)(36, 156)(37, 149)(38, 150)(39, 159)(40, 160)(41, 153)(42, 154)(43, 162)(44, 163)(45, 157)(46, 164)(47, 165)(48, 166)(49, 167)(50, 174)(51, 173)(52, 144)(53, 145)(54, 168)(55, 169)(56, 170)(57, 171)(58, 172)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 58, 116 ), ( 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.1282
Graph:: bipartite
	v = 59 e = 116 f = 3
	degree seq :: [ 2^58, 116 ]

E28.1333 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3 * Y1^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^29, (Y3^14 * Y1^-1)^2, (Y3 * Y2^-1)^29 ]
Map::
	R = (1, 59, 2, 60, 5, 63, 6, 64, 9, 67, 10, 68, 13, 71, 14, 72, 17, 75, 18, 76, 21, 79, 22, 80, 25, 83, 26, 84, 29, 87, 32, 90, 30, 88, 31, 89, 33, 91, 34, 92, 35, 93, 36, 94, 37, 95, 38, 96, 39, 97, 40, 98, 41, 99, 42, 100, 43, 101, 44, 102, 47, 105, 50, 108, 48, 106, 49, 107, 51, 109, 52, 110, 53, 111, 54, 112, 55, 113, 56, 114, 57, 115, 58, 116, 45, 103, 46, 104, 27, 85, 28, 86, 23, 81, 24, 82, 19, 77, 20, 78, 15, 73, 16, 74, 11, 69, 12, 70, 7, 65, 8, 66, 3, 61, 4, 62)(117, 175)(118, 176)(119, 177)(120, 178)(121, 179)(122, 180)(123, 181)(124, 182)(125, 183)(126, 184)(127, 185)(128, 186)(129, 187)(130, 188)(131, 189)(132, 190)(133, 191)(134, 192)(135, 193)(136, 194)(137, 195)(138, 196)(139, 197)(140, 198)(141, 199)(142, 200)(143, 201)(144, 202)(145, 203)(146, 204)(147, 205)(148, 206)(149, 207)(150, 208)(151, 209)(152, 210)(153, 211)(154, 212)(155, 213)(156, 214)(157, 215)(158, 216)(159, 217)(160, 218)(161, 219)(162, 220)(163, 221)(164, 222)(165, 223)(166, 224)(167, 225)(168, 226)(169, 227)(170, 228)(171, 229)(172, 230)(173, 231)(174, 232)
	L = (1, 119)(2, 120)(3, 123)(4, 124)(5, 117)(6, 118)(7, 127)(8, 128)(9, 121)(10, 122)(11, 131)(12, 132)(13, 125)(14, 126)(15, 135)(16, 136)(17, 129)(18, 130)(19, 139)(20, 140)(21, 133)(22, 134)(23, 143)(24, 144)(25, 137)(26, 138)(27, 161)(28, 162)(29, 141)(30, 145)(31, 148)(32, 142)(33, 146)(34, 147)(35, 149)(36, 150)(37, 151)(38, 152)(39, 153)(40, 154)(41, 155)(42, 156)(43, 157)(44, 158)(45, 173)(46, 174)(47, 159)(48, 163)(49, 166)(50, 160)(51, 164)(52, 165)(53, 167)(54, 168)(55, 169)(56, 170)(57, 171)(58, 172)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 58, 116 ), ( 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.1267
Graph:: bipartite
	v = 59 e = 116 f = 3
	degree seq :: [ 2^58, 116 ]

E28.1334 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, Y3^-3 * Y1 * Y3^-1 * Y1 * Y3^-1, Y1^3 * Y3^-1 * Y1^9, (Y3 * Y2^-1)^29, (Y1^-1 * Y3^-1)^58 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 14, 72, 26, 84, 36, 94, 46, 104, 51, 109, 41, 99, 31, 89, 21, 79, 10, 68, 3, 61, 7, 65, 15, 73, 27, 85, 37, 95, 47, 105, 56, 114, 55, 113, 45, 103, 35, 93, 25, 83, 20, 78, 9, 67, 17, 75, 29, 87, 39, 97, 49, 107, 57, 115, 54, 112, 44, 102, 34, 92, 24, 82, 13, 71, 18, 76, 19, 77, 30, 88, 40, 98, 50, 108, 58, 116, 53, 111, 43, 101, 33, 91, 23, 81, 12, 70, 5, 63, 8, 66, 16, 74, 28, 86, 38, 96, 48, 106, 52, 110, 42, 100, 32, 90, 22, 80, 11, 69, 4, 62)(117, 175)(118, 176)(119, 177)(120, 178)(121, 179)(122, 180)(123, 181)(124, 182)(125, 183)(126, 184)(127, 185)(128, 186)(129, 187)(130, 188)(131, 189)(132, 190)(133, 191)(134, 192)(135, 193)(136, 194)(137, 195)(138, 196)(139, 197)(140, 198)(141, 199)(142, 200)(143, 201)(144, 202)(145, 203)(146, 204)(147, 205)(148, 206)(149, 207)(150, 208)(151, 209)(152, 210)(153, 211)(154, 212)(155, 213)(156, 214)(157, 215)(158, 216)(159, 217)(160, 218)(161, 219)(162, 220)(163, 221)(164, 222)(165, 223)(166, 224)(167, 225)(168, 226)(169, 227)(170, 228)(171, 229)(172, 230)(173, 231)(174, 232)
	L = (1, 119)(2, 123)(3, 125)(4, 126)(5, 117)(6, 131)(7, 133)(8, 118)(9, 135)(10, 136)(11, 137)(12, 120)(13, 121)(14, 143)(15, 145)(16, 122)(17, 146)(18, 124)(19, 132)(20, 134)(21, 141)(22, 147)(23, 127)(24, 128)(25, 129)(26, 153)(27, 155)(28, 130)(29, 156)(30, 144)(31, 151)(32, 157)(33, 138)(34, 139)(35, 140)(36, 163)(37, 165)(38, 142)(39, 166)(40, 154)(41, 161)(42, 167)(43, 148)(44, 149)(45, 150)(46, 172)(47, 173)(48, 152)(49, 174)(50, 164)(51, 171)(52, 162)(53, 158)(54, 159)(55, 160)(56, 170)(57, 169)(58, 168)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 58, 116 ), ( 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.1280
Graph:: bipartite
	v = 59 e = 116 f = 3
	degree seq :: [ 2^58, 116 ]

E28.1335 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, Y3^-3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1, Y1^5 * Y3 * Y1^7, Y3 * Y1^-1 * Y3 * Y1^-3 * Y3^2 * Y1^-6, (Y3 * Y2^-1)^29, Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-3 * Y3 * Y1^-1 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 14, 72, 26, 84, 36, 94, 46, 104, 55, 113, 45, 103, 35, 93, 23, 81, 12, 70, 5, 63, 8, 66, 16, 74, 28, 86, 38, 96, 48, 106, 56, 114, 51, 109, 41, 99, 31, 89, 19, 77, 24, 82, 13, 71, 18, 76, 29, 87, 39, 97, 49, 107, 57, 115, 52, 110, 42, 100, 32, 90, 20, 78, 9, 67, 17, 75, 25, 83, 30, 88, 40, 98, 50, 108, 58, 116, 53, 111, 43, 101, 33, 91, 21, 79, 10, 68, 3, 61, 7, 65, 15, 73, 27, 85, 37, 95, 47, 105, 54, 112, 44, 102, 34, 92, 22, 80, 11, 69, 4, 62)(117, 175)(118, 176)(119, 177)(120, 178)(121, 179)(122, 180)(123, 181)(124, 182)(125, 183)(126, 184)(127, 185)(128, 186)(129, 187)(130, 188)(131, 189)(132, 190)(133, 191)(134, 192)(135, 193)(136, 194)(137, 195)(138, 196)(139, 197)(140, 198)(141, 199)(142, 200)(143, 201)(144, 202)(145, 203)(146, 204)(147, 205)(148, 206)(149, 207)(150, 208)(151, 209)(152, 210)(153, 211)(154, 212)(155, 213)(156, 214)(157, 215)(158, 216)(159, 217)(160, 218)(161, 219)(162, 220)(163, 221)(164, 222)(165, 223)(166, 224)(167, 225)(168, 226)(169, 227)(170, 228)(171, 229)(172, 230)(173, 231)(174, 232)
	L = (1, 119)(2, 123)(3, 125)(4, 126)(5, 117)(6, 131)(7, 133)(8, 118)(9, 135)(10, 136)(11, 137)(12, 120)(13, 121)(14, 143)(15, 141)(16, 122)(17, 140)(18, 124)(19, 139)(20, 147)(21, 148)(22, 149)(23, 127)(24, 128)(25, 129)(26, 153)(27, 146)(28, 130)(29, 132)(30, 134)(31, 151)(32, 157)(33, 158)(34, 159)(35, 138)(36, 163)(37, 156)(38, 142)(39, 144)(40, 145)(41, 161)(42, 167)(43, 168)(44, 169)(45, 150)(46, 170)(47, 166)(48, 152)(49, 154)(50, 155)(51, 171)(52, 172)(53, 173)(54, 174)(55, 160)(56, 162)(57, 164)(58, 165)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 58, 116 ), ( 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.1281
Graph:: bipartite
	v = 59 e = 116 f = 3
	degree seq :: [ 2^58, 116 ]

E28.1336 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3, Y1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^-6 * Y3^-1, Y3^3 * Y1^-1 * Y3 * Y1^-1 * Y3^5, (Y3 * Y2^-1)^29, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^3 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 14, 72, 26, 84, 24, 82, 13, 71, 18, 76, 30, 88, 40, 98, 51, 109, 49, 107, 38, 96, 44, 102, 45, 103, 54, 112, 58, 116, 55, 113, 47, 105, 34, 92, 19, 77, 31, 89, 41, 99, 36, 94, 21, 79, 10, 68, 3, 61, 7, 65, 15, 73, 27, 85, 23, 81, 12, 70, 5, 63, 8, 66, 16, 74, 28, 86, 39, 97, 37, 95, 25, 83, 32, 90, 42, 100, 52, 110, 57, 115, 56, 114, 50, 108, 46, 104, 33, 91, 43, 101, 53, 111, 48, 106, 35, 93, 20, 78, 9, 67, 17, 75, 29, 87, 22, 80, 11, 69, 4, 62)(117, 175)(118, 176)(119, 177)(120, 178)(121, 179)(122, 180)(123, 181)(124, 182)(125, 183)(126, 184)(127, 185)(128, 186)(129, 187)(130, 188)(131, 189)(132, 190)(133, 191)(134, 192)(135, 193)(136, 194)(137, 195)(138, 196)(139, 197)(140, 198)(141, 199)(142, 200)(143, 201)(144, 202)(145, 203)(146, 204)(147, 205)(148, 206)(149, 207)(150, 208)(151, 209)(152, 210)(153, 211)(154, 212)(155, 213)(156, 214)(157, 215)(158, 216)(159, 217)(160, 218)(161, 219)(162, 220)(163, 221)(164, 222)(165, 223)(166, 224)(167, 225)(168, 226)(169, 227)(170, 228)(171, 229)(172, 230)(173, 231)(174, 232)
	L = (1, 119)(2, 123)(3, 125)(4, 126)(5, 117)(6, 131)(7, 133)(8, 118)(9, 135)(10, 136)(11, 137)(12, 120)(13, 121)(14, 143)(15, 145)(16, 122)(17, 147)(18, 124)(19, 149)(20, 150)(21, 151)(22, 152)(23, 127)(24, 128)(25, 129)(26, 139)(27, 138)(28, 130)(29, 157)(30, 132)(31, 159)(32, 134)(33, 161)(34, 162)(35, 163)(36, 164)(37, 140)(38, 141)(39, 142)(40, 144)(41, 169)(42, 146)(43, 170)(44, 148)(45, 158)(46, 160)(47, 166)(48, 171)(49, 153)(50, 154)(51, 155)(52, 156)(53, 174)(54, 168)(55, 172)(56, 165)(57, 167)(58, 173)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 58, 116 ), ( 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.1290
Graph:: bipartite
	v = 59 e = 116 f = 3
	degree seq :: [ 2^58, 116 ]

E28.1337 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3, Y1^-1), (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^-2 * Y3 * Y1^-1 * Y3 * Y1^-3, Y3^7 * Y1 * Y3 * Y1 * Y3, (Y3 * Y2^-1)^29, (Y1^-1 * Y3^-1)^58 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 14, 72, 26, 84, 20, 78, 9, 67, 17, 75, 29, 87, 40, 98, 51, 109, 46, 104, 33, 91, 43, 101, 50, 108, 54, 112, 58, 116, 56, 114, 48, 106, 37, 95, 25, 83, 32, 90, 42, 100, 35, 93, 23, 81, 12, 70, 5, 63, 8, 66, 16, 74, 28, 86, 21, 79, 10, 68, 3, 61, 7, 65, 15, 73, 27, 85, 39, 97, 34, 92, 19, 77, 31, 89, 41, 99, 52, 110, 57, 115, 55, 113, 45, 103, 49, 107, 38, 96, 44, 102, 53, 111, 47, 105, 36, 94, 24, 82, 13, 71, 18, 76, 30, 88, 22, 80, 11, 69, 4, 62)(117, 175)(118, 176)(119, 177)(120, 178)(121, 179)(122, 180)(123, 181)(124, 182)(125, 183)(126, 184)(127, 185)(128, 186)(129, 187)(130, 188)(131, 189)(132, 190)(133, 191)(134, 192)(135, 193)(136, 194)(137, 195)(138, 196)(139, 197)(140, 198)(141, 199)(142, 200)(143, 201)(144, 202)(145, 203)(146, 204)(147, 205)(148, 206)(149, 207)(150, 208)(151, 209)(152, 210)(153, 211)(154, 212)(155, 213)(156, 214)(157, 215)(158, 216)(159, 217)(160, 218)(161, 219)(162, 220)(163, 221)(164, 222)(165, 223)(166, 224)(167, 225)(168, 226)(169, 227)(170, 228)(171, 229)(172, 230)(173, 231)(174, 232)
	L = (1, 119)(2, 123)(3, 125)(4, 126)(5, 117)(6, 131)(7, 133)(8, 118)(9, 135)(10, 136)(11, 137)(12, 120)(13, 121)(14, 143)(15, 145)(16, 122)(17, 147)(18, 124)(19, 149)(20, 150)(21, 142)(22, 144)(23, 127)(24, 128)(25, 129)(26, 155)(27, 156)(28, 130)(29, 157)(30, 132)(31, 159)(32, 134)(33, 161)(34, 162)(35, 138)(36, 139)(37, 140)(38, 141)(39, 167)(40, 168)(41, 166)(42, 146)(43, 165)(44, 148)(45, 164)(46, 171)(47, 151)(48, 152)(49, 153)(50, 154)(51, 173)(52, 170)(53, 158)(54, 160)(55, 172)(56, 163)(57, 174)(58, 169)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 58, 116 ), ( 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.1279
Graph:: bipartite
	v = 59 e = 116 f = 3
	degree seq :: [ 2^58, 116 ]

E28.1338 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-3 * Y3^-1, Y3^-12 * Y1 * Y3^-1 * Y1, (Y3 * Y2^-1)^29 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 14, 72, 25, 83, 28, 86, 35, 93, 42, 100, 49, 107, 52, 110, 53, 111, 56, 114, 47, 105, 38, 96, 29, 87, 32, 90, 21, 79, 10, 68, 3, 61, 7, 65, 15, 73, 24, 82, 13, 71, 18, 76, 27, 85, 34, 92, 41, 99, 44, 102, 51, 109, 58, 116, 55, 113, 46, 104, 37, 95, 40, 98, 31, 89, 20, 78, 9, 67, 17, 75, 23, 81, 12, 70, 5, 63, 8, 66, 16, 74, 26, 84, 33, 91, 36, 94, 43, 101, 50, 108, 57, 115, 54, 112, 45, 103, 48, 106, 39, 97, 30, 88, 19, 77, 22, 80, 11, 69, 4, 62)(117, 175)(118, 176)(119, 177)(120, 178)(121, 179)(122, 180)(123, 181)(124, 182)(125, 183)(126, 184)(127, 185)(128, 186)(129, 187)(130, 188)(131, 189)(132, 190)(133, 191)(134, 192)(135, 193)(136, 194)(137, 195)(138, 196)(139, 197)(140, 198)(141, 199)(142, 200)(143, 201)(144, 202)(145, 203)(146, 204)(147, 205)(148, 206)(149, 207)(150, 208)(151, 209)(152, 210)(153, 211)(154, 212)(155, 213)(156, 214)(157, 215)(158, 216)(159, 217)(160, 218)(161, 219)(162, 220)(163, 221)(164, 222)(165, 223)(166, 224)(167, 225)(168, 226)(169, 227)(170, 228)(171, 229)(172, 230)(173, 231)(174, 232)
	L = (1, 119)(2, 123)(3, 125)(4, 126)(5, 117)(6, 131)(7, 133)(8, 118)(9, 135)(10, 136)(11, 137)(12, 120)(13, 121)(14, 140)(15, 139)(16, 122)(17, 138)(18, 124)(19, 145)(20, 146)(21, 147)(22, 148)(23, 127)(24, 128)(25, 129)(26, 130)(27, 132)(28, 134)(29, 153)(30, 154)(31, 155)(32, 156)(33, 141)(34, 142)(35, 143)(36, 144)(37, 161)(38, 162)(39, 163)(40, 164)(41, 149)(42, 150)(43, 151)(44, 152)(45, 169)(46, 170)(47, 171)(48, 172)(49, 157)(50, 158)(51, 159)(52, 160)(53, 167)(54, 168)(55, 173)(56, 174)(57, 165)(58, 166)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 58, 116 ), ( 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.1271
Graph:: bipartite
	v = 59 e = 116 f = 3
	degree seq :: [ 2^58, 116 ]

E28.1339 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1^-1, Y3^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y3 * Y1^-3 * Y3, Y3 * Y1 * Y3^12 * Y1, (Y3 * Y2^-1)^29, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 14, 72, 19, 77, 28, 86, 35, 93, 42, 100, 45, 103, 52, 110, 57, 115, 54, 112, 47, 105, 40, 98, 33, 91, 30, 88, 23, 81, 12, 70, 5, 63, 8, 66, 16, 74, 20, 78, 9, 67, 17, 75, 27, 85, 34, 92, 37, 95, 44, 102, 51, 109, 58, 116, 55, 113, 48, 106, 41, 99, 38, 96, 31, 89, 24, 82, 13, 71, 18, 76, 21, 79, 10, 68, 3, 61, 7, 65, 15, 73, 26, 84, 29, 87, 36, 94, 43, 101, 50, 108, 53, 111, 56, 114, 49, 107, 46, 104, 39, 97, 32, 90, 25, 83, 22, 80, 11, 69, 4, 62)(117, 175)(118, 176)(119, 177)(120, 178)(121, 179)(122, 180)(123, 181)(124, 182)(125, 183)(126, 184)(127, 185)(128, 186)(129, 187)(130, 188)(131, 189)(132, 190)(133, 191)(134, 192)(135, 193)(136, 194)(137, 195)(138, 196)(139, 197)(140, 198)(141, 199)(142, 200)(143, 201)(144, 202)(145, 203)(146, 204)(147, 205)(148, 206)(149, 207)(150, 208)(151, 209)(152, 210)(153, 211)(154, 212)(155, 213)(156, 214)(157, 215)(158, 216)(159, 217)(160, 218)(161, 219)(162, 220)(163, 221)(164, 222)(165, 223)(166, 224)(167, 225)(168, 226)(169, 227)(170, 228)(171, 229)(172, 230)(173, 231)(174, 232)
	L = (1, 119)(2, 123)(3, 125)(4, 126)(5, 117)(6, 131)(7, 133)(8, 118)(9, 135)(10, 136)(11, 137)(12, 120)(13, 121)(14, 142)(15, 143)(16, 122)(17, 144)(18, 124)(19, 145)(20, 130)(21, 132)(22, 134)(23, 127)(24, 128)(25, 129)(26, 150)(27, 151)(28, 152)(29, 153)(30, 138)(31, 139)(32, 140)(33, 141)(34, 158)(35, 159)(36, 160)(37, 161)(38, 146)(39, 147)(40, 148)(41, 149)(42, 166)(43, 167)(44, 168)(45, 169)(46, 154)(47, 155)(48, 156)(49, 157)(50, 174)(51, 173)(52, 172)(53, 171)(54, 162)(55, 163)(56, 164)(57, 165)(58, 170)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 58, 116 ), ( 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.1289
Graph:: bipartite
	v = 59 e = 116 f = 3
	degree seq :: [ 2^58, 116 ]

E28.1340 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1^-1, Y3^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-3 * Y1^3 * Y3^-1, Y1^-4 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-5, Y3^-11 * Y1^-1 * Y3^-1 * Y1^-1, (Y3 * Y2^-1)^29, Y1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-2 * Y1^4 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 14, 72, 26, 84, 42, 100, 52, 110, 49, 107, 39, 97, 24, 82, 13, 71, 18, 76, 30, 88, 34, 92, 19, 77, 31, 89, 45, 103, 55, 113, 58, 116, 51, 109, 41, 99, 36, 94, 21, 79, 10, 68, 3, 61, 7, 65, 15, 73, 27, 85, 43, 101, 53, 111, 48, 106, 38, 96, 23, 81, 12, 70, 5, 63, 8, 66, 16, 74, 28, 86, 33, 91, 46, 104, 56, 114, 57, 115, 50, 108, 40, 98, 25, 83, 32, 90, 35, 93, 20, 78, 9, 67, 17, 75, 29, 87, 44, 102, 54, 112, 47, 105, 37, 95, 22, 80, 11, 69, 4, 62)(117, 175)(118, 176)(119, 177)(120, 178)(121, 179)(122, 180)(123, 181)(124, 182)(125, 183)(126, 184)(127, 185)(128, 186)(129, 187)(130, 188)(131, 189)(132, 190)(133, 191)(134, 192)(135, 193)(136, 194)(137, 195)(138, 196)(139, 197)(140, 198)(141, 199)(142, 200)(143, 201)(144, 202)(145, 203)(146, 204)(147, 205)(148, 206)(149, 207)(150, 208)(151, 209)(152, 210)(153, 211)(154, 212)(155, 213)(156, 214)(157, 215)(158, 216)(159, 217)(160, 218)(161, 219)(162, 220)(163, 221)(164, 222)(165, 223)(166, 224)(167, 225)(168, 226)(169, 227)(170, 228)(171, 229)(172, 230)(173, 231)(174, 232)
	L = (1, 119)(2, 123)(3, 125)(4, 126)(5, 117)(6, 131)(7, 133)(8, 118)(9, 135)(10, 136)(11, 137)(12, 120)(13, 121)(14, 143)(15, 145)(16, 122)(17, 147)(18, 124)(19, 149)(20, 150)(21, 151)(22, 152)(23, 127)(24, 128)(25, 129)(26, 159)(27, 160)(28, 130)(29, 161)(30, 132)(31, 162)(32, 134)(33, 142)(34, 144)(35, 146)(36, 148)(37, 157)(38, 138)(39, 139)(40, 140)(41, 141)(42, 169)(43, 170)(44, 171)(45, 172)(46, 158)(47, 167)(48, 153)(49, 154)(50, 155)(51, 156)(52, 164)(53, 163)(54, 174)(55, 173)(56, 168)(57, 165)(58, 166)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 58, 116 ), ( 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.1276
Graph:: bipartite
	v = 59 e = 116 f = 3
	degree seq :: [ 2^58, 116 ]

E28.1341 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^3 * Y1 * Y3 * Y1^3 * Y3, Y3 * Y1^-1 * Y3 * Y1^-9, Y1 * Y3^-1 * Y1 * Y3^-2 * Y1^3 * Y3^-4 * Y1, (Y3 * Y2^-1)^29, (Y1^-1 * Y3^-1)^58 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 14, 72, 26, 84, 42, 100, 52, 110, 49, 107, 35, 93, 20, 78, 9, 67, 17, 75, 29, 87, 40, 98, 25, 83, 32, 90, 45, 103, 55, 113, 57, 115, 47, 105, 33, 91, 38, 96, 23, 81, 12, 70, 5, 63, 8, 66, 16, 74, 28, 86, 43, 101, 53, 111, 50, 108, 36, 94, 21, 79, 10, 68, 3, 61, 7, 65, 15, 73, 27, 85, 41, 99, 46, 104, 56, 114, 58, 116, 48, 106, 34, 92, 19, 77, 31, 89, 39, 97, 24, 82, 13, 71, 18, 76, 30, 88, 44, 102, 54, 112, 51, 109, 37, 95, 22, 80, 11, 69, 4, 62)(117, 175)(118, 176)(119, 177)(120, 178)(121, 179)(122, 180)(123, 181)(124, 182)(125, 183)(126, 184)(127, 185)(128, 186)(129, 187)(130, 188)(131, 189)(132, 190)(133, 191)(134, 192)(135, 193)(136, 194)(137, 195)(138, 196)(139, 197)(140, 198)(141, 199)(142, 200)(143, 201)(144, 202)(145, 203)(146, 204)(147, 205)(148, 206)(149, 207)(150, 208)(151, 209)(152, 210)(153, 211)(154, 212)(155, 213)(156, 214)(157, 215)(158, 216)(159, 217)(160, 218)(161, 219)(162, 220)(163, 221)(164, 222)(165, 223)(166, 224)(167, 225)(168, 226)(169, 227)(170, 228)(171, 229)(172, 230)(173, 231)(174, 232)
	L = (1, 119)(2, 123)(3, 125)(4, 126)(5, 117)(6, 131)(7, 133)(8, 118)(9, 135)(10, 136)(11, 137)(12, 120)(13, 121)(14, 143)(15, 145)(16, 122)(17, 147)(18, 124)(19, 149)(20, 150)(21, 151)(22, 152)(23, 127)(24, 128)(25, 129)(26, 157)(27, 156)(28, 130)(29, 155)(30, 132)(31, 154)(32, 134)(33, 153)(34, 163)(35, 164)(36, 165)(37, 166)(38, 138)(39, 139)(40, 140)(41, 141)(42, 162)(43, 142)(44, 144)(45, 146)(46, 148)(47, 167)(48, 173)(49, 174)(50, 168)(51, 169)(52, 172)(53, 158)(54, 159)(55, 160)(56, 161)(57, 170)(58, 171)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 58, 116 ), ( 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.1272
Graph:: bipartite
	v = 59 e = 116 f = 3
	degree seq :: [ 2^58, 116 ]

E28.1342 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^2 * Y3^-1 * Y1^-3 * Y3 * Y1, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-7, Y1^3 * Y3^-5 * Y1^3, (Y3 * Y2^-1)^29, Y1^-1 * Y3^5 * Y1^-1 * Y3^5 * Y1^-1 * Y3^5 * Y1^-1 * Y3^5 * Y1^-1 * Y3^5 * Y1^-1 * Y3^5 * Y1^-1 * Y3^5 * Y1^-1 * Y3^5 * Y1^-1 * Y3^5 * Y1^-1 * Y3^5 * Y1^-1 * Y3^5 * Y1^-1 * Y3^5 * Y1^-1 * Y3^5 * Y1^-1 * Y3^5 * Y1^-1 * Y3^5 * Y1^-1 * Y3^5 * Y1^-1 * Y3^5 * Y1^-1 * Y3^5 * Y1^-1 * Y3^4 * Y1^-1 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 14, 72, 26, 84, 42, 100, 51, 109, 40, 98, 25, 83, 32, 90, 48, 106, 54, 112, 35, 93, 20, 78, 9, 67, 17, 75, 29, 87, 45, 103, 57, 115, 38, 96, 23, 81, 12, 70, 5, 63, 8, 66, 16, 74, 28, 86, 44, 102, 52, 110, 33, 91, 49, 107, 41, 99, 50, 108, 55, 113, 36, 94, 21, 79, 10, 68, 3, 61, 7, 65, 15, 73, 27, 85, 43, 101, 58, 116, 39, 97, 24, 82, 13, 71, 18, 76, 30, 88, 46, 104, 53, 111, 34, 92, 19, 77, 31, 89, 47, 105, 56, 114, 37, 95, 22, 80, 11, 69, 4, 62)(117, 175)(118, 176)(119, 177)(120, 178)(121, 179)(122, 180)(123, 181)(124, 182)(125, 183)(126, 184)(127, 185)(128, 186)(129, 187)(130, 188)(131, 189)(132, 190)(133, 191)(134, 192)(135, 193)(136, 194)(137, 195)(138, 196)(139, 197)(140, 198)(141, 199)(142, 200)(143, 201)(144, 202)(145, 203)(146, 204)(147, 205)(148, 206)(149, 207)(150, 208)(151, 209)(152, 210)(153, 211)(154, 212)(155, 213)(156, 214)(157, 215)(158, 216)(159, 217)(160, 218)(161, 219)(162, 220)(163, 221)(164, 222)(165, 223)(166, 224)(167, 225)(168, 226)(169, 227)(170, 228)(171, 229)(172, 230)(173, 231)(174, 232)
	L = (1, 119)(2, 123)(3, 125)(4, 126)(5, 117)(6, 131)(7, 133)(8, 118)(9, 135)(10, 136)(11, 137)(12, 120)(13, 121)(14, 143)(15, 145)(16, 122)(17, 147)(18, 124)(19, 149)(20, 150)(21, 151)(22, 152)(23, 127)(24, 128)(25, 129)(26, 159)(27, 161)(28, 130)(29, 163)(30, 132)(31, 165)(32, 134)(33, 167)(34, 168)(35, 169)(36, 170)(37, 171)(38, 138)(39, 139)(40, 140)(41, 141)(42, 174)(43, 173)(44, 142)(45, 172)(46, 144)(47, 157)(48, 146)(49, 156)(50, 148)(51, 155)(52, 158)(53, 160)(54, 162)(55, 164)(56, 166)(57, 153)(58, 154)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 58, 116 ), ( 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.1284
Graph:: bipartite
	v = 59 e = 116 f = 3
	degree seq :: [ 2^58, 116 ]

E28.1343 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^2 * Y1^-1 * Y3^6 * Y1^-1, Y1^-2 * Y3^-2 * Y1^-2 * Y3^-2 * Y1^-2 * Y3^-1, Y1^2 * Y3^-1 * Y1^5 * Y3^-2 * Y1, Y1^4 * Y3 * Y1 * Y3^4 * Y1, (Y3 * Y2^-1)^29, (Y1^-1 * Y3^-1)^58 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 14, 72, 26, 84, 42, 100, 51, 109, 34, 92, 19, 77, 31, 89, 47, 105, 56, 114, 39, 97, 24, 82, 13, 71, 18, 76, 30, 88, 46, 104, 53, 111, 36, 94, 21, 79, 10, 68, 3, 61, 7, 65, 15, 73, 27, 85, 43, 101, 58, 116, 41, 99, 50, 108, 33, 91, 49, 107, 55, 113, 38, 96, 23, 81, 12, 70, 5, 63, 8, 66, 16, 74, 28, 86, 44, 102, 52, 110, 35, 93, 20, 78, 9, 67, 17, 75, 29, 87, 45, 103, 57, 115, 40, 98, 25, 83, 32, 90, 48, 106, 54, 112, 37, 95, 22, 80, 11, 69, 4, 62)(117, 175)(118, 176)(119, 177)(120, 178)(121, 179)(122, 180)(123, 181)(124, 182)(125, 183)(126, 184)(127, 185)(128, 186)(129, 187)(130, 188)(131, 189)(132, 190)(133, 191)(134, 192)(135, 193)(136, 194)(137, 195)(138, 196)(139, 197)(140, 198)(141, 199)(142, 200)(143, 201)(144, 202)(145, 203)(146, 204)(147, 205)(148, 206)(149, 207)(150, 208)(151, 209)(152, 210)(153, 211)(154, 212)(155, 213)(156, 214)(157, 215)(158, 216)(159, 217)(160, 218)(161, 219)(162, 220)(163, 221)(164, 222)(165, 223)(166, 224)(167, 225)(168, 226)(169, 227)(170, 228)(171, 229)(172, 230)(173, 231)(174, 232)
	L = (1, 119)(2, 123)(3, 125)(4, 126)(5, 117)(6, 131)(7, 133)(8, 118)(9, 135)(10, 136)(11, 137)(12, 120)(13, 121)(14, 143)(15, 145)(16, 122)(17, 147)(18, 124)(19, 149)(20, 150)(21, 151)(22, 152)(23, 127)(24, 128)(25, 129)(26, 159)(27, 161)(28, 130)(29, 163)(30, 132)(31, 165)(32, 134)(33, 164)(34, 166)(35, 167)(36, 168)(37, 169)(38, 138)(39, 139)(40, 140)(41, 141)(42, 174)(43, 173)(44, 142)(45, 172)(46, 144)(47, 171)(48, 146)(49, 170)(50, 148)(51, 157)(52, 158)(53, 160)(54, 162)(55, 153)(56, 154)(57, 155)(58, 156)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 58, 116 ), ( 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.1275
Graph:: bipartite
	v = 59 e = 116 f = 3
	degree seq :: [ 2^58, 116 ]

E28.1344 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), Y1^-2 * Y3^-4, (R * Y2 * Y3^-1)^2, Y1^14 * Y3^-1, Y3^2 * Y1^-28, (Y3 * Y2^-1)^29 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 14, 72, 23, 81, 31, 89, 39, 97, 47, 105, 53, 111, 45, 103, 37, 95, 29, 87, 21, 79, 10, 68, 3, 61, 7, 65, 15, 73, 24, 82, 32, 90, 40, 98, 48, 106, 55, 113, 58, 116, 52, 110, 44, 102, 36, 94, 28, 86, 20, 78, 9, 67, 17, 75, 13, 71, 18, 76, 26, 84, 34, 92, 42, 100, 50, 108, 56, 114, 57, 115, 51, 109, 43, 101, 35, 93, 27, 85, 19, 77, 12, 70, 5, 63, 8, 66, 16, 74, 25, 83, 33, 91, 41, 99, 49, 107, 54, 112, 46, 104, 38, 96, 30, 88, 22, 80, 11, 69, 4, 62)(117, 175)(118, 176)(119, 177)(120, 178)(121, 179)(122, 180)(123, 181)(124, 182)(125, 183)(126, 184)(127, 185)(128, 186)(129, 187)(130, 188)(131, 189)(132, 190)(133, 191)(134, 192)(135, 193)(136, 194)(137, 195)(138, 196)(139, 197)(140, 198)(141, 199)(142, 200)(143, 201)(144, 202)(145, 203)(146, 204)(147, 205)(148, 206)(149, 207)(150, 208)(151, 209)(152, 210)(153, 211)(154, 212)(155, 213)(156, 214)(157, 215)(158, 216)(159, 217)(160, 218)(161, 219)(162, 220)(163, 221)(164, 222)(165, 223)(166, 224)(167, 225)(168, 226)(169, 227)(170, 228)(171, 229)(172, 230)(173, 231)(174, 232)
	L = (1, 119)(2, 123)(3, 125)(4, 126)(5, 117)(6, 131)(7, 133)(8, 118)(9, 135)(10, 136)(11, 137)(12, 120)(13, 121)(14, 140)(15, 129)(16, 122)(17, 128)(18, 124)(19, 127)(20, 143)(21, 144)(22, 145)(23, 148)(24, 134)(25, 130)(26, 132)(27, 138)(28, 151)(29, 152)(30, 153)(31, 156)(32, 142)(33, 139)(34, 141)(35, 146)(36, 159)(37, 160)(38, 161)(39, 164)(40, 150)(41, 147)(42, 149)(43, 154)(44, 167)(45, 168)(46, 169)(47, 171)(48, 158)(49, 155)(50, 157)(51, 162)(52, 173)(53, 174)(54, 163)(55, 166)(56, 165)(57, 170)(58, 172)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 58, 116 ), ( 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.1266
Graph:: bipartite
	v = 59 e = 116 f = 3
	degree seq :: [ 2^58, 116 ]

E28.1345 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {29, 58, 58})
Quotient :: dipole
Aut^+ = C58 (small group id <58, 2>)
Aut   = D116 (small group id <116, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y3^-2 * Y1 * Y3^-1 * Y1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y1^7 * Y3 * Y1^7, (Y3 * Y2^-1)^29, (Y1^-1 * Y3^-1)^58 ]
Map::
	R = (1, 59, 2, 60, 6, 64, 14, 72, 23, 81, 31, 89, 39, 97, 47, 105, 53, 111, 45, 103, 37, 95, 29, 87, 21, 79, 12, 70, 5, 63, 8, 66, 16, 74, 25, 83, 33, 91, 41, 99, 49, 107, 55, 113, 58, 116, 54, 112, 46, 104, 38, 96, 30, 88, 22, 80, 13, 71, 18, 76, 9, 67, 17, 75, 26, 84, 34, 92, 42, 100, 50, 108, 56, 114, 57, 115, 51, 109, 43, 101, 35, 93, 27, 85, 19, 77, 10, 68, 3, 61, 7, 65, 15, 73, 24, 82, 32, 90, 40, 98, 48, 106, 52, 110, 44, 102, 36, 94, 28, 86, 20, 78, 11, 69, 4, 62)(117, 175)(118, 176)(119, 177)(120, 178)(121, 179)(122, 180)(123, 181)(124, 182)(125, 183)(126, 184)(127, 185)(128, 186)(129, 187)(130, 188)(131, 189)(132, 190)(133, 191)(134, 192)(135, 193)(136, 194)(137, 195)(138, 196)(139, 197)(140, 198)(141, 199)(142, 200)(143, 201)(144, 202)(145, 203)(146, 204)(147, 205)(148, 206)(149, 207)(150, 208)(151, 209)(152, 210)(153, 211)(154, 212)(155, 213)(156, 214)(157, 215)(158, 216)(159, 217)(160, 218)(161, 219)(162, 220)(163, 221)(164, 222)(165, 223)(166, 224)(167, 225)(168, 226)(169, 227)(170, 228)(171, 229)(172, 230)(173, 231)(174, 232)
	L = (1, 119)(2, 123)(3, 125)(4, 126)(5, 117)(6, 131)(7, 133)(8, 118)(9, 132)(10, 134)(11, 135)(12, 120)(13, 121)(14, 140)(15, 142)(16, 122)(17, 141)(18, 124)(19, 129)(20, 143)(21, 127)(22, 128)(23, 148)(24, 150)(25, 130)(26, 149)(27, 138)(28, 151)(29, 136)(30, 137)(31, 156)(32, 158)(33, 139)(34, 157)(35, 146)(36, 159)(37, 144)(38, 145)(39, 164)(40, 166)(41, 147)(42, 165)(43, 154)(44, 167)(45, 152)(46, 153)(47, 168)(48, 172)(49, 155)(50, 171)(51, 162)(52, 173)(53, 160)(54, 161)(55, 163)(56, 174)(57, 170)(58, 169)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 58, 116 ), ( 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116, 58, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.1283
Graph:: bipartite
	v = 59 e = 116 f = 3
	degree seq :: [ 2^58, 116 ]

E28.1346 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 5, 5, 5})
Quotient :: edge^2
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1 * Y1^-1 * Y3, Y1 * Y3^-1 * Y2^-1 * Y3, R * Y2 * R * Y1, (R * Y3)^2, Y2^-1 * Y3 * Y2 * Y3^-1 * Y1, Y3^5, Y1^5, Y2^5 ]
Map:: polytopal non-degenerate
	R = (1, 61, 4, 64, 18, 78, 27, 87, 7, 67)(2, 62, 10, 70, 33, 93, 36, 96, 12, 72)(3, 63, 9, 69, 28, 88, 26, 86, 16, 76)(5, 65, 15, 75, 17, 77, 32, 92, 23, 83)(6, 66, 19, 79, 44, 104, 45, 105, 25, 85)(8, 68, 29, 89, 49, 109, 38, 98, 13, 73)(11, 71, 20, 80, 46, 106, 52, 112, 35, 95)(14, 74, 31, 91, 21, 81, 42, 102, 40, 100)(22, 82, 41, 101, 57, 117, 43, 103, 24, 84)(30, 90, 34, 94, 53, 113, 58, 118, 51, 111)(37, 97, 50, 110, 59, 119, 56, 116, 39, 99)(47, 107, 55, 115, 60, 120, 54, 114, 48, 108)(121, 122, 128, 141, 125)(123, 133, 157, 161, 135)(124, 129, 151, 142, 139)(126, 140, 130, 148, 143)(127, 131, 154, 149, 146)(132, 150, 170, 162, 136)(134, 159, 175, 164, 137)(138, 152, 144, 167, 166)(145, 168, 173, 153, 147)(155, 174, 179, 169, 156)(158, 171, 180, 177, 160)(163, 176, 178, 172, 165)(181, 183, 194, 204, 186)(182, 189, 212, 205, 191)(184, 197, 223, 228, 200)(185, 196, 218, 219, 202)(187, 192, 193, 211, 203)(188, 208, 207, 215, 210)(190, 198, 225, 234, 214)(195, 220, 236, 227, 199)(201, 206, 216, 231, 217)(209, 213, 232, 240, 230)(221, 222, 229, 238, 235)(224, 237, 239, 233, 226)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 8^5 ), ( 8^10 ) }
Outer automorphisms :: reflexible
Dual of E28.1352
Graph:: simple bipartite
	v = 36 e = 120 f = 30
	degree seq :: [ 5^24, 10^12 ]

E28.1347 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 5, 5, 5})
Quotient :: edge^2
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ R^2, (Y3 * Y1)^2, R * Y1 * R * Y2, (Y2 * Y3)^2, (R * Y3)^2, Y1^5, Y1^-1 * Y2 * Y1 * Y3^2, Y1^2 * Y3 * Y2^2, Y3^2 * Y2 * Y1 * Y2^-1, Y3^5, Y2^5, Y3^2 * Y2^-1 * Y3 * Y1^-1, Y3^-1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y1^-1, (Y2^-1 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 61, 4, 64, 20, 80, 33, 93, 7, 67)(2, 62, 10, 70, 27, 87, 13, 73, 12, 72)(3, 63, 15, 75, 39, 99, 21, 81, 17, 77)(5, 65, 24, 84, 32, 92, 42, 102, 18, 78)(6, 66, 28, 88, 26, 86, 11, 71, 19, 79)(8, 68, 30, 90, 41, 101, 36, 96, 35, 95)(9, 69, 38, 98, 45, 105, 14, 74, 40, 100)(16, 76, 22, 82, 31, 91, 23, 83, 46, 106)(25, 85, 43, 103, 51, 111, 29, 89, 54, 114)(34, 94, 56, 116, 58, 118, 37, 97, 57, 117)(44, 104, 47, 107, 49, 109, 48, 108, 59, 119)(50, 110, 52, 112, 60, 120, 53, 113, 55, 115)(121, 122, 128, 145, 125)(123, 133, 139, 152, 136)(124, 138, 170, 168, 141)(126, 147, 165, 154, 149)(127, 151, 164, 134, 130)(129, 156, 146, 140, 159)(131, 161, 178, 172, 162)(132, 137, 169, 157, 150)(135, 166, 180, 176, 158)(142, 144, 174, 177, 167)(143, 153, 148, 171, 173)(155, 160, 179, 175, 163)(181, 183, 194, 210, 186)(182, 189, 217, 223, 191)(184, 199, 205, 232, 202)(185, 203, 201, 190, 206)(187, 212, 233, 227, 195)(188, 214, 235, 204, 208)(192, 200, 196, 228, 218)(193, 216, 209, 222, 213)(197, 211, 230, 237, 220)(198, 231, 238, 239, 226)(207, 219, 224, 236, 215)(221, 225, 229, 240, 234)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 8^5 ), ( 8^10 ) }
Outer automorphisms :: reflexible
Dual of E28.1353
Graph:: simple bipartite
	v = 36 e = 120 f = 30
	degree seq :: [ 5^24, 10^12 ]

E28.1348 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 5, 5, 5})
Quotient :: edge^2
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1 * Y2^-1, (R * Y3)^2, R * Y2 * R * Y1, Y1^5, Y2^2 * Y1 * Y2^2, Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 61, 3, 63)(2, 62, 6, 66)(4, 64, 9, 69)(5, 65, 11, 71)(7, 67, 15, 75)(8, 68, 12, 72)(10, 70, 18, 78)(13, 73, 19, 79)(14, 74, 23, 83)(16, 76, 25, 85)(17, 77, 27, 87)(20, 80, 28, 88)(21, 81, 31, 91)(22, 82, 32, 92)(24, 84, 33, 93)(26, 86, 36, 96)(29, 89, 39, 99)(30, 90, 40, 100)(34, 94, 35, 95)(37, 97, 46, 106)(38, 98, 48, 108)(41, 101, 42, 102)(43, 103, 47, 107)(44, 104, 52, 112)(45, 105, 53, 113)(49, 109, 50, 110)(51, 111, 58, 118)(54, 114, 56, 116)(55, 115, 59, 119)(57, 117, 60, 120)(121, 122, 125, 130, 124)(123, 127, 134, 136, 128)(126, 132, 141, 142, 133)(129, 137, 146, 144, 135)(131, 139, 149, 150, 140)(138, 148, 158, 157, 147)(143, 153, 163, 164, 154)(145, 155, 165, 161, 151)(152, 162, 171, 169, 159)(156, 166, 174, 175, 167)(160, 170, 177, 176, 168)(172, 179, 180, 178, 173)(181, 182, 185, 190, 184)(183, 187, 194, 196, 188)(186, 192, 201, 202, 193)(189, 197, 206, 204, 195)(191, 199, 209, 210, 200)(198, 208, 218, 217, 207)(203, 213, 223, 224, 214)(205, 215, 225, 221, 211)(212, 222, 231, 229, 219)(216, 226, 234, 235, 227)(220, 230, 237, 236, 228)(232, 239, 240, 238, 233)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 20^4 ), ( 20^5 ) }
Outer automorphisms :: reflexible
Dual of E28.1350
Graph:: simple bipartite
	v = 54 e = 120 f = 12
	degree seq :: [ 4^30, 5^24 ]

E28.1349 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 5, 5, 5})
Quotient :: edge^2
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ R^2, Y3^2, R * Y2 * R * Y1, (R * Y3)^2, (Y1 * Y3)^2, (Y3 * Y2^-1)^2, Y1^5, Y2^5, (Y1 * Y2^2)^2, Y2^-1 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1, (Y1^-1 * Y2^-1 * Y1^-1)^2, (Y2^-1 * Y1^-1)^3, Y1^-1 * Y2^-2 * Y1 * Y3 * Y2 * Y1^-1, Y1^-2 * Y3 * Y2^-1 * Y1 * Y2^-2, Y3 * Y1^-2 * Y2 * Y1^-1 * Y2^2, Y1^-1 * Y2 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 61, 4, 64)(2, 62, 9, 69)(3, 63, 13, 73)(5, 65, 15, 75)(6, 66, 16, 76)(7, 67, 24, 84)(8, 68, 28, 88)(10, 70, 30, 90)(11, 71, 35, 95)(12, 72, 38, 98)(14, 74, 40, 100)(17, 77, 46, 106)(18, 78, 44, 104)(19, 79, 45, 105)(20, 80, 49, 109)(21, 81, 47, 107)(22, 82, 48, 108)(23, 83, 41, 101)(25, 85, 55, 115)(26, 86, 57, 117)(27, 87, 51, 111)(29, 89, 58, 118)(31, 91, 37, 97)(32, 92, 59, 119)(33, 93, 42, 102)(34, 94, 54, 114)(36, 96, 60, 120)(39, 99, 52, 112)(43, 103, 56, 116)(50, 110, 53, 113)(121, 122, 127, 138, 125)(123, 131, 154, 162, 134)(124, 135, 164, 144, 129)(126, 140, 173, 143, 141)(128, 146, 139, 163, 149)(130, 151, 158, 172, 152)(132, 157, 150, 179, 159)(133, 160, 153, 174, 155)(136, 167, 161, 170, 169)(137, 156, 145, 168, 171)(142, 175, 180, 166, 147)(148, 178, 176, 165, 177)(181, 183, 192, 202, 186)(182, 188, 207, 213, 190)(184, 196, 228, 218, 193)(185, 197, 230, 217, 199)(187, 203, 220, 236, 205)(189, 210, 222, 231, 208)(191, 206, 201, 212, 216)(194, 221, 204, 235, 223)(195, 225, 211, 233, 226)(198, 232, 238, 229, 214)(200, 209, 219, 224, 234)(215, 240, 239, 227, 237)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 20^4 ), ( 20^5 ) }
Outer automorphisms :: reflexible
Dual of E28.1351
Graph:: simple bipartite
	v = 54 e = 120 f = 12
	degree seq :: [ 4^30, 5^24 ]

E28.1350 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 5, 5, 5})
Quotient :: loop^2
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1 * Y1^-1 * Y3, Y1 * Y3^-1 * Y2^-1 * Y3, R * Y2 * R * Y1, (R * Y3)^2, Y2^-1 * Y3 * Y2 * Y3^-1 * Y1, Y3^5, Y1^5, Y2^5 ]
Map:: polytopal non-degenerate
	R = (1, 61, 121, 181, 4, 64, 124, 184, 18, 78, 138, 198, 27, 87, 147, 207, 7, 67, 127, 187)(2, 62, 122, 182, 10, 70, 130, 190, 33, 93, 153, 213, 36, 96, 156, 216, 12, 72, 132, 192)(3, 63, 123, 183, 9, 69, 129, 189, 28, 88, 148, 208, 26, 86, 146, 206, 16, 76, 136, 196)(5, 65, 125, 185, 15, 75, 135, 195, 17, 77, 137, 197, 32, 92, 152, 212, 23, 83, 143, 203)(6, 66, 126, 186, 19, 79, 139, 199, 44, 104, 164, 224, 45, 105, 165, 225, 25, 85, 145, 205)(8, 68, 128, 188, 29, 89, 149, 209, 49, 109, 169, 229, 38, 98, 158, 218, 13, 73, 133, 193)(11, 71, 131, 191, 20, 80, 140, 200, 46, 106, 166, 226, 52, 112, 172, 232, 35, 95, 155, 215)(14, 74, 134, 194, 31, 91, 151, 211, 21, 81, 141, 201, 42, 102, 162, 222, 40, 100, 160, 220)(22, 82, 142, 202, 41, 101, 161, 221, 57, 117, 177, 237, 43, 103, 163, 223, 24, 84, 144, 204)(30, 90, 150, 210, 34, 94, 154, 214, 53, 113, 173, 233, 58, 118, 178, 238, 51, 111, 171, 231)(37, 97, 157, 217, 50, 110, 170, 230, 59, 119, 179, 239, 56, 116, 176, 236, 39, 99, 159, 219)(47, 107, 167, 227, 55, 115, 175, 235, 60, 120, 180, 240, 54, 114, 174, 234, 48, 108, 168, 228)
	L = (1, 62)(2, 68)(3, 73)(4, 69)(5, 61)(6, 80)(7, 71)(8, 81)(9, 91)(10, 88)(11, 94)(12, 90)(13, 97)(14, 99)(15, 63)(16, 72)(17, 74)(18, 92)(19, 64)(20, 70)(21, 65)(22, 79)(23, 66)(24, 107)(25, 108)(26, 67)(27, 85)(28, 83)(29, 86)(30, 110)(31, 82)(32, 84)(33, 87)(34, 89)(35, 114)(36, 95)(37, 101)(38, 111)(39, 115)(40, 98)(41, 75)(42, 76)(43, 116)(44, 77)(45, 103)(46, 78)(47, 106)(48, 113)(49, 96)(50, 102)(51, 120)(52, 105)(53, 93)(54, 119)(55, 104)(56, 118)(57, 100)(58, 112)(59, 109)(60, 117)(121, 183)(122, 189)(123, 194)(124, 197)(125, 196)(126, 181)(127, 192)(128, 208)(129, 212)(130, 198)(131, 182)(132, 193)(133, 211)(134, 204)(135, 220)(136, 218)(137, 223)(138, 225)(139, 195)(140, 184)(141, 206)(142, 185)(143, 187)(144, 186)(145, 191)(146, 216)(147, 215)(148, 207)(149, 213)(150, 188)(151, 203)(152, 205)(153, 232)(154, 190)(155, 210)(156, 231)(157, 201)(158, 219)(159, 202)(160, 236)(161, 222)(162, 229)(163, 228)(164, 237)(165, 234)(166, 224)(167, 199)(168, 200)(169, 238)(170, 209)(171, 217)(172, 240)(173, 226)(174, 214)(175, 221)(176, 227)(177, 239)(178, 235)(179, 233)(180, 230)
	local type(s) :: { ( 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5 ) }
Outer automorphisms :: reflexible
Dual of E28.1348
Transitivity :: VT+
Graph::
	v = 12 e = 120 f = 54
	degree seq :: [ 20^12 ]

E28.1351 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 5, 5, 5})
Quotient :: loop^2
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ R^2, (Y3 * Y1)^2, R * Y1 * R * Y2, (Y2 * Y3)^2, (R * Y3)^2, Y1^5, Y1^-1 * Y2 * Y1 * Y3^2, Y1^2 * Y3 * Y2^2, Y3^2 * Y2 * Y1 * Y2^-1, Y3^5, Y2^5, Y3^2 * Y2^-1 * Y3 * Y1^-1, Y3^-1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y1^-1, (Y2^-1 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 61, 121, 181, 4, 64, 124, 184, 20, 80, 140, 200, 33, 93, 153, 213, 7, 67, 127, 187)(2, 62, 122, 182, 10, 70, 130, 190, 27, 87, 147, 207, 13, 73, 133, 193, 12, 72, 132, 192)(3, 63, 123, 183, 15, 75, 135, 195, 39, 99, 159, 219, 21, 81, 141, 201, 17, 77, 137, 197)(5, 65, 125, 185, 24, 84, 144, 204, 32, 92, 152, 212, 42, 102, 162, 222, 18, 78, 138, 198)(6, 66, 126, 186, 28, 88, 148, 208, 26, 86, 146, 206, 11, 71, 131, 191, 19, 79, 139, 199)(8, 68, 128, 188, 30, 90, 150, 210, 41, 101, 161, 221, 36, 96, 156, 216, 35, 95, 155, 215)(9, 69, 129, 189, 38, 98, 158, 218, 45, 105, 165, 225, 14, 74, 134, 194, 40, 100, 160, 220)(16, 76, 136, 196, 22, 82, 142, 202, 31, 91, 151, 211, 23, 83, 143, 203, 46, 106, 166, 226)(25, 85, 145, 205, 43, 103, 163, 223, 51, 111, 171, 231, 29, 89, 149, 209, 54, 114, 174, 234)(34, 94, 154, 214, 56, 116, 176, 236, 58, 118, 178, 238, 37, 97, 157, 217, 57, 117, 177, 237)(44, 104, 164, 224, 47, 107, 167, 227, 49, 109, 169, 229, 48, 108, 168, 228, 59, 119, 179, 239)(50, 110, 170, 230, 52, 112, 172, 232, 60, 120, 180, 240, 53, 113, 173, 233, 55, 115, 175, 235)
	L = (1, 62)(2, 68)(3, 73)(4, 78)(5, 61)(6, 87)(7, 91)(8, 85)(9, 96)(10, 67)(11, 101)(12, 77)(13, 79)(14, 70)(15, 106)(16, 63)(17, 109)(18, 110)(19, 92)(20, 99)(21, 64)(22, 84)(23, 93)(24, 114)(25, 65)(26, 80)(27, 105)(28, 111)(29, 66)(30, 72)(31, 104)(32, 76)(33, 88)(34, 89)(35, 100)(36, 86)(37, 90)(38, 75)(39, 69)(40, 119)(41, 118)(42, 71)(43, 95)(44, 74)(45, 94)(46, 120)(47, 82)(48, 81)(49, 97)(50, 108)(51, 113)(52, 102)(53, 83)(54, 117)(55, 103)(56, 98)(57, 107)(58, 112)(59, 115)(60, 116)(121, 183)(122, 189)(123, 194)(124, 199)(125, 203)(126, 181)(127, 212)(128, 214)(129, 217)(130, 206)(131, 182)(132, 200)(133, 216)(134, 210)(135, 187)(136, 228)(137, 211)(138, 231)(139, 205)(140, 196)(141, 190)(142, 184)(143, 201)(144, 208)(145, 232)(146, 185)(147, 219)(148, 188)(149, 222)(150, 186)(151, 230)(152, 233)(153, 193)(154, 235)(155, 207)(156, 209)(157, 223)(158, 192)(159, 224)(160, 197)(161, 225)(162, 213)(163, 191)(164, 236)(165, 229)(166, 198)(167, 195)(168, 218)(169, 240)(170, 237)(171, 238)(172, 202)(173, 227)(174, 221)(175, 204)(176, 215)(177, 220)(178, 239)(179, 226)(180, 234)
	local type(s) :: { ( 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5 ) }
Outer automorphisms :: reflexible
Dual of E28.1349
Transitivity :: VT+
Graph::
	v = 12 e = 120 f = 54
	degree seq :: [ 20^12 ]

E28.1352 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 5, 5, 5})
Quotient :: loop^2
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1 * Y2^-1, (R * Y3)^2, R * Y2 * R * Y1, Y1^5, Y2^2 * Y1 * Y2^2, Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 61, 121, 181, 3, 63, 123, 183)(2, 62, 122, 182, 6, 66, 126, 186)(4, 64, 124, 184, 9, 69, 129, 189)(5, 65, 125, 185, 11, 71, 131, 191)(7, 67, 127, 187, 15, 75, 135, 195)(8, 68, 128, 188, 12, 72, 132, 192)(10, 70, 130, 190, 18, 78, 138, 198)(13, 73, 133, 193, 19, 79, 139, 199)(14, 74, 134, 194, 23, 83, 143, 203)(16, 76, 136, 196, 25, 85, 145, 205)(17, 77, 137, 197, 27, 87, 147, 207)(20, 80, 140, 200, 28, 88, 148, 208)(21, 81, 141, 201, 31, 91, 151, 211)(22, 82, 142, 202, 32, 92, 152, 212)(24, 84, 144, 204, 33, 93, 153, 213)(26, 86, 146, 206, 36, 96, 156, 216)(29, 89, 149, 209, 39, 99, 159, 219)(30, 90, 150, 210, 40, 100, 160, 220)(34, 94, 154, 214, 35, 95, 155, 215)(37, 97, 157, 217, 46, 106, 166, 226)(38, 98, 158, 218, 48, 108, 168, 228)(41, 101, 161, 221, 42, 102, 162, 222)(43, 103, 163, 223, 47, 107, 167, 227)(44, 104, 164, 224, 52, 112, 172, 232)(45, 105, 165, 225, 53, 113, 173, 233)(49, 109, 169, 229, 50, 110, 170, 230)(51, 111, 171, 231, 58, 118, 178, 238)(54, 114, 174, 234, 56, 116, 176, 236)(55, 115, 175, 235, 59, 119, 179, 239)(57, 117, 177, 237, 60, 120, 180, 240)
	L = (1, 62)(2, 65)(3, 67)(4, 61)(5, 70)(6, 72)(7, 74)(8, 63)(9, 77)(10, 64)(11, 79)(12, 81)(13, 66)(14, 76)(15, 69)(16, 68)(17, 86)(18, 88)(19, 89)(20, 71)(21, 82)(22, 73)(23, 93)(24, 75)(25, 95)(26, 84)(27, 78)(28, 98)(29, 90)(30, 80)(31, 85)(32, 102)(33, 103)(34, 83)(35, 105)(36, 106)(37, 87)(38, 97)(39, 92)(40, 110)(41, 91)(42, 111)(43, 104)(44, 94)(45, 101)(46, 114)(47, 96)(48, 100)(49, 99)(50, 117)(51, 109)(52, 119)(53, 112)(54, 115)(55, 107)(56, 108)(57, 116)(58, 113)(59, 120)(60, 118)(121, 182)(122, 185)(123, 187)(124, 181)(125, 190)(126, 192)(127, 194)(128, 183)(129, 197)(130, 184)(131, 199)(132, 201)(133, 186)(134, 196)(135, 189)(136, 188)(137, 206)(138, 208)(139, 209)(140, 191)(141, 202)(142, 193)(143, 213)(144, 195)(145, 215)(146, 204)(147, 198)(148, 218)(149, 210)(150, 200)(151, 205)(152, 222)(153, 223)(154, 203)(155, 225)(156, 226)(157, 207)(158, 217)(159, 212)(160, 230)(161, 211)(162, 231)(163, 224)(164, 214)(165, 221)(166, 234)(167, 216)(168, 220)(169, 219)(170, 237)(171, 229)(172, 239)(173, 232)(174, 235)(175, 227)(176, 228)(177, 236)(178, 233)(179, 240)(180, 238)
	local type(s) :: { ( 5, 10, 5, 10, 5, 10, 5, 10 ) }
Outer automorphisms :: reflexible
Dual of E28.1346
Transitivity :: VT+
Graph::
	v = 30 e = 120 f = 36
	degree seq :: [ 8^30 ]

E28.1353 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 5, 5, 5})
Quotient :: loop^2
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ R^2, Y3^2, R * Y2 * R * Y1, (R * Y3)^2, (Y1 * Y3)^2, (Y3 * Y2^-1)^2, Y1^5, Y2^5, (Y1 * Y2^2)^2, Y2^-1 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1, (Y1^-1 * Y2^-1 * Y1^-1)^2, (Y2^-1 * Y1^-1)^3, Y1^-1 * Y2^-2 * Y1 * Y3 * Y2 * Y1^-1, Y1^-2 * Y3 * Y2^-1 * Y1 * Y2^-2, Y3 * Y1^-2 * Y2 * Y1^-1 * Y2^2, Y1^-1 * Y2 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 61, 121, 181, 4, 64, 124, 184)(2, 62, 122, 182, 9, 69, 129, 189)(3, 63, 123, 183, 13, 73, 133, 193)(5, 65, 125, 185, 15, 75, 135, 195)(6, 66, 126, 186, 16, 76, 136, 196)(7, 67, 127, 187, 24, 84, 144, 204)(8, 68, 128, 188, 28, 88, 148, 208)(10, 70, 130, 190, 30, 90, 150, 210)(11, 71, 131, 191, 35, 95, 155, 215)(12, 72, 132, 192, 38, 98, 158, 218)(14, 74, 134, 194, 40, 100, 160, 220)(17, 77, 137, 197, 46, 106, 166, 226)(18, 78, 138, 198, 44, 104, 164, 224)(19, 79, 139, 199, 45, 105, 165, 225)(20, 80, 140, 200, 49, 109, 169, 229)(21, 81, 141, 201, 47, 107, 167, 227)(22, 82, 142, 202, 48, 108, 168, 228)(23, 83, 143, 203, 41, 101, 161, 221)(25, 85, 145, 205, 55, 115, 175, 235)(26, 86, 146, 206, 57, 117, 177, 237)(27, 87, 147, 207, 51, 111, 171, 231)(29, 89, 149, 209, 58, 118, 178, 238)(31, 91, 151, 211, 37, 97, 157, 217)(32, 92, 152, 212, 59, 119, 179, 239)(33, 93, 153, 213, 42, 102, 162, 222)(34, 94, 154, 214, 54, 114, 174, 234)(36, 96, 156, 216, 60, 120, 180, 240)(39, 99, 159, 219, 52, 112, 172, 232)(43, 103, 163, 223, 56, 116, 176, 236)(50, 110, 170, 230, 53, 113, 173, 233)
	L = (1, 62)(2, 67)(3, 71)(4, 75)(5, 61)(6, 80)(7, 78)(8, 86)(9, 64)(10, 91)(11, 94)(12, 97)(13, 100)(14, 63)(15, 104)(16, 107)(17, 96)(18, 65)(19, 103)(20, 113)(21, 66)(22, 115)(23, 81)(24, 69)(25, 108)(26, 79)(27, 82)(28, 118)(29, 68)(30, 119)(31, 98)(32, 70)(33, 114)(34, 102)(35, 73)(36, 85)(37, 90)(38, 112)(39, 72)(40, 93)(41, 110)(42, 74)(43, 89)(44, 84)(45, 117)(46, 87)(47, 101)(48, 111)(49, 76)(50, 109)(51, 77)(52, 92)(53, 83)(54, 95)(55, 120)(56, 105)(57, 88)(58, 116)(59, 99)(60, 106)(121, 183)(122, 188)(123, 192)(124, 196)(125, 197)(126, 181)(127, 203)(128, 207)(129, 210)(130, 182)(131, 206)(132, 202)(133, 184)(134, 221)(135, 225)(136, 228)(137, 230)(138, 232)(139, 185)(140, 209)(141, 212)(142, 186)(143, 220)(144, 235)(145, 187)(146, 201)(147, 213)(148, 189)(149, 219)(150, 222)(151, 233)(152, 216)(153, 190)(154, 198)(155, 240)(156, 191)(157, 199)(158, 193)(159, 224)(160, 236)(161, 204)(162, 231)(163, 194)(164, 234)(165, 211)(166, 195)(167, 237)(168, 218)(169, 214)(170, 217)(171, 208)(172, 238)(173, 226)(174, 200)(175, 223)(176, 205)(177, 215)(178, 229)(179, 227)(180, 239)
	local type(s) :: { ( 5, 10, 5, 10, 5, 10, 5, 10 ) }
Outer automorphisms :: reflexible
Dual of E28.1347
Transitivity :: VT+
Graph::
	v = 30 e = 120 f = 36
	degree seq :: [ 8^30 ]

E28.1354 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 5})
Quotient :: dipole
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y1 * Y3, Y3^3, (R * Y3^-1)^2, (R * Y1)^2, (R * Y3)^2, Y2^5, Y2^5, Y3 * Y1 * Y2^2 * Y3^-1 * Y2^-1 * Y3 * Y2^-1, Y1 * Y2^2 * Y3 * Y1 * Y2^-1 * Y1 * Y2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 61, 2, 62)(3, 63, 6, 66)(4, 64, 12, 72)(5, 65, 14, 74)(7, 67, 8, 68)(9, 69, 11, 71)(10, 70, 21, 81)(13, 73, 25, 85)(15, 75, 20, 80)(16, 76, 18, 78)(17, 77, 29, 89)(19, 79, 31, 91)(22, 82, 35, 95)(23, 83, 24, 84)(26, 86, 27, 87)(28, 88, 37, 97)(30, 90, 39, 99)(32, 92, 45, 105)(33, 93, 34, 94)(36, 96, 47, 107)(38, 98, 50, 110)(40, 100, 51, 111)(41, 101, 42, 102)(43, 103, 44, 104)(46, 106, 54, 114)(48, 108, 49, 109)(52, 112, 58, 118)(53, 113, 57, 117)(55, 115, 56, 116)(59, 119, 60, 120)(121, 181, 123, 183, 129, 189, 135, 195, 125, 185)(122, 182, 127, 187, 136, 196, 133, 193, 124, 184)(126, 186, 132, 192, 143, 203, 142, 202, 130, 190)(128, 188, 134, 194, 146, 206, 150, 210, 137, 197)(131, 191, 141, 201, 153, 213, 152, 212, 139, 199)(138, 198, 149, 209, 161, 221, 160, 220, 148, 208)(140, 200, 151, 211, 163, 223, 158, 218, 147, 207)(144, 204, 145, 205, 157, 217, 168, 228, 156, 216)(154, 214, 155, 215, 167, 227, 175, 235, 166, 226)(159, 219, 170, 230, 177, 237, 172, 232, 162, 222)(164, 224, 165, 225, 174, 234, 179, 239, 173, 233)(169, 229, 171, 231, 178, 238, 180, 240, 176, 236)
	L = (1, 124)(2, 125)(3, 130)(4, 126)(5, 128)(6, 121)(7, 137)(8, 122)(9, 139)(10, 131)(11, 123)(12, 133)(13, 144)(14, 135)(15, 147)(16, 148)(17, 138)(18, 127)(19, 140)(20, 129)(21, 142)(22, 154)(23, 156)(24, 132)(25, 136)(26, 158)(27, 134)(28, 145)(29, 150)(30, 162)(31, 152)(32, 164)(33, 166)(34, 141)(35, 143)(36, 155)(37, 160)(38, 159)(39, 146)(40, 169)(41, 172)(42, 149)(43, 173)(44, 151)(45, 153)(46, 165)(47, 168)(48, 176)(49, 157)(50, 163)(51, 161)(52, 171)(53, 170)(54, 175)(55, 180)(56, 167)(57, 179)(58, 177)(59, 178)(60, 174)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 10^4 ), ( 10^10 ) }
Outer automorphisms :: reflexible
Dual of E28.1358
Graph:: bipartite
	v = 42 e = 120 f = 24
	degree seq :: [ 4^30, 10^12 ]

E28.1355 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 5})
Quotient :: dipole
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, (Y2 * Y3)^2, (Y1 * Y2^-1)^2, (R * Y1)^2, (R * Y3)^2, Y2^5, (Y3^-1 * Y2 * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3 * Y2 * Y1 * Y3 * Y1, Y2^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y3 * Y2^-1, Y1 * Y3^-1 * Y2^2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y3^-1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 61, 2, 62)(3, 63, 9, 69)(4, 64, 14, 74)(5, 65, 7, 67)(6, 66, 19, 79)(8, 68, 24, 84)(10, 70, 29, 89)(11, 71, 28, 88)(12, 72, 33, 93)(13, 73, 35, 95)(15, 75, 25, 85)(16, 76, 37, 97)(17, 77, 30, 90)(18, 78, 21, 81)(20, 80, 27, 87)(22, 82, 47, 107)(23, 83, 32, 92)(26, 86, 41, 101)(31, 91, 53, 113)(34, 94, 56, 116)(36, 96, 44, 104)(38, 98, 45, 105)(39, 99, 59, 119)(40, 100, 60, 120)(42, 102, 52, 112)(43, 103, 49, 109)(46, 106, 55, 115)(48, 108, 58, 118)(50, 110, 54, 114)(51, 111, 57, 117)(121, 181, 123, 183, 131, 191, 138, 198, 125, 185)(122, 182, 127, 187, 141, 201, 148, 208, 129, 189)(124, 184, 135, 195, 144, 204, 161, 221, 136, 196)(126, 186, 140, 200, 165, 225, 154, 214, 132, 192)(128, 188, 145, 205, 134, 194, 157, 217, 146, 206)(130, 190, 150, 210, 172, 232, 168, 228, 142, 202)(133, 193, 156, 216, 171, 231, 174, 234, 151, 211)(137, 197, 149, 209, 167, 227, 178, 238, 162, 222)(139, 199, 153, 213, 176, 236, 158, 218, 147, 207)(143, 203, 169, 229, 160, 220, 179, 239, 166, 226)(152, 212, 175, 235, 159, 219, 180, 240, 163, 223)(155, 215, 173, 233, 170, 230, 177, 237, 164, 224)
	L = (1, 124)(2, 128)(3, 132)(4, 126)(5, 137)(6, 121)(7, 142)(8, 130)(9, 147)(10, 122)(11, 151)(12, 133)(13, 123)(14, 158)(15, 125)(16, 160)(17, 135)(18, 163)(19, 148)(20, 136)(21, 166)(22, 143)(23, 127)(24, 162)(25, 129)(26, 171)(27, 145)(28, 164)(29, 138)(30, 146)(31, 152)(32, 131)(33, 177)(34, 172)(35, 141)(36, 154)(37, 175)(38, 159)(39, 134)(40, 140)(41, 173)(42, 170)(43, 149)(44, 139)(45, 169)(46, 155)(47, 180)(48, 165)(49, 168)(50, 144)(51, 150)(52, 156)(53, 179)(54, 157)(55, 174)(56, 167)(57, 178)(58, 153)(59, 161)(60, 176)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 10^4 ), ( 10^10 ) }
Outer automorphisms :: reflexible
Dual of E28.1359
Graph:: simple bipartite
	v = 42 e = 120 f = 24
	degree seq :: [ 4^30, 10^12 ]

E28.1356 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 5})
Quotient :: dipole
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, Y2^2 * Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^3 * Y1 * Y3, (R * Y2 * Y3^-1)^2, (Y2 * Y1 * Y3^-1)^2, (Y3^-1 * Y2^-1)^3, Y1 * Y3^-1 * Y2^-1 * Y3 * Y2 * Y1 * Y2 * Y3 * Y2^-1, Y1 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 61, 2, 62)(3, 63, 11, 71)(4, 64, 14, 74)(5, 65, 13, 73)(6, 66, 17, 77)(7, 67, 21, 81)(8, 68, 18, 78)(9, 69, 23, 83)(10, 70, 15, 75)(12, 72, 30, 90)(16, 76, 25, 85)(19, 79, 24, 84)(20, 80, 36, 96)(22, 82, 40, 100)(26, 86, 43, 103)(27, 87, 37, 97)(28, 88, 46, 106)(29, 89, 31, 91)(32, 92, 47, 107)(33, 93, 49, 109)(34, 94, 41, 101)(35, 95, 50, 110)(38, 98, 44, 104)(39, 99, 53, 113)(42, 102, 54, 114)(45, 105, 57, 117)(48, 108, 56, 116)(51, 111, 55, 115)(52, 112, 60, 120)(58, 118, 59, 119)(121, 181, 123, 183, 128, 188, 137, 197, 125, 185)(122, 182, 127, 187, 124, 184, 135, 195, 129, 189)(126, 186, 139, 199, 149, 209, 134, 194, 140, 200)(130, 190, 145, 205, 154, 214, 138, 198, 146, 206)(131, 191, 147, 207, 132, 192, 151, 211, 148, 208)(133, 193, 152, 212, 136, 196, 150, 210, 153, 213)(141, 201, 158, 218, 142, 202, 161, 221, 159, 219)(143, 203, 162, 222, 144, 204, 160, 220, 155, 215)(156, 216, 171, 231, 157, 217, 170, 230, 165, 225)(163, 223, 176, 236, 164, 224, 169, 229, 172, 232)(166, 226, 178, 238, 167, 227, 177, 237, 168, 228)(173, 233, 179, 239, 174, 234, 180, 240, 175, 235)
	L = (1, 124)(2, 128)(3, 132)(4, 126)(5, 136)(6, 121)(7, 142)(8, 130)(9, 144)(10, 122)(11, 137)(12, 133)(13, 123)(14, 129)(15, 154)(16, 138)(17, 149)(18, 125)(19, 155)(20, 157)(21, 135)(22, 143)(23, 127)(24, 134)(25, 153)(26, 164)(27, 165)(28, 167)(29, 131)(30, 148)(31, 140)(32, 168)(33, 163)(34, 141)(35, 156)(36, 139)(37, 151)(38, 172)(39, 174)(40, 159)(41, 146)(42, 175)(43, 145)(44, 161)(45, 166)(46, 147)(47, 150)(48, 169)(49, 152)(50, 162)(51, 179)(52, 173)(53, 158)(54, 160)(55, 170)(56, 178)(57, 171)(58, 180)(59, 177)(60, 176)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 10^4 ), ( 10^10 ) }
Outer automorphisms :: reflexible
Dual of E28.1360
Graph:: bipartite
	v = 42 e = 120 f = 24
	degree seq :: [ 4^30, 10^12 ]

E28.1357 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 5})
Quotient :: dipole
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-1 * Y3^-1 * Y1 * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y1 * Y2^3 * Y3^-1, Y3^5, Y3^-1 * Y2^-1 * Y3 * Y2 * Y3 * Y2^-1, (R * Y2 * Y3^-1)^2, (Y2 * Y1 * Y3^-1)^2, Y1 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2, (Y3 * Y2^-1)^5 ]
Map:: non-degenerate
	R = (1, 61, 2, 62)(3, 63, 11, 71)(4, 64, 15, 75)(5, 65, 18, 78)(6, 66, 12, 72)(7, 67, 23, 83)(8, 68, 14, 74)(9, 69, 26, 86)(10, 70, 17, 77)(13, 73, 33, 93)(16, 76, 41, 101)(19, 79, 28, 88)(20, 80, 27, 87)(21, 81, 36, 96)(22, 82, 46, 106)(24, 84, 45, 105)(25, 85, 49, 109)(29, 89, 39, 99)(30, 90, 51, 111)(31, 91, 35, 95)(32, 92, 47, 107)(34, 94, 55, 115)(37, 97, 44, 104)(38, 98, 50, 110)(40, 100, 42, 102)(43, 103, 52, 112)(48, 108, 58, 118)(53, 113, 59, 119)(54, 114, 56, 116)(57, 117, 60, 120)(121, 181, 123, 183, 132, 192, 128, 188, 125, 185)(122, 182, 127, 187, 137, 197, 124, 184, 129, 189)(126, 186, 140, 200, 166, 226, 152, 212, 141, 201)(130, 190, 148, 208, 171, 231, 163, 223, 149, 209)(131, 191, 146, 206, 155, 215, 133, 193, 147, 207)(134, 194, 156, 216, 170, 230, 145, 205, 157, 217)(135, 195, 159, 219, 162, 222, 136, 196, 151, 211)(138, 198, 164, 224, 144, 204, 139, 199, 143, 203)(142, 202, 153, 213, 161, 221, 176, 236, 154, 214)(150, 210, 165, 225, 169, 229, 179, 239, 168, 228)(158, 218, 167, 227, 175, 235, 180, 240, 173, 233)(160, 220, 172, 232, 178, 238, 177, 237, 174, 234)
	L = (1, 124)(2, 128)(3, 133)(4, 136)(5, 139)(6, 121)(7, 144)(8, 145)(9, 147)(10, 122)(11, 125)(12, 152)(13, 154)(14, 123)(15, 127)(16, 142)(17, 163)(18, 132)(19, 149)(20, 155)(21, 157)(22, 126)(23, 129)(24, 168)(25, 150)(26, 137)(27, 141)(28, 164)(29, 151)(30, 130)(31, 131)(32, 173)(33, 146)(34, 158)(35, 162)(36, 166)(37, 143)(38, 134)(39, 171)(40, 135)(41, 159)(42, 177)(43, 174)(44, 170)(45, 138)(46, 176)(47, 140)(48, 160)(49, 156)(50, 180)(51, 179)(52, 148)(53, 165)(54, 153)(55, 161)(56, 178)(57, 167)(58, 169)(59, 175)(60, 172)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 10^4 ), ( 10^10 ) }
Outer automorphisms :: reflexible
Dual of E28.1361
Graph:: bipartite
	v = 42 e = 120 f = 24
	degree seq :: [ 4^30, 10^12 ]

E28.1358 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 5})
Quotient :: dipole
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1 * Y1, Y3^3, (R * Y1^-1)^2, (R * Y3)^2, (Y1^-1 * Y3^-1)^2, (Y2^-1 * Y3^-1)^2, Y2^5, Y1^5, Y2 * Y1^-1 * Y2^-1 * Y1 * Y3^-1 * Y2, Y2^-1 * Y1 * Y3 * R * Y2^2 * R, (Y3 * Y1^-1 * Y2 * R)^2 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 8, 68, 19, 79, 5, 65)(3, 63, 12, 72, 30, 90, 34, 94, 15, 75)(4, 64, 14, 74, 20, 80, 35, 95, 17, 77)(6, 66, 21, 81, 27, 87, 9, 69, 7, 67)(10, 70, 28, 88, 42, 102, 23, 83, 11, 71)(13, 73, 31, 91, 48, 108, 50, 110, 32, 92)(16, 76, 22, 82, 40, 100, 54, 114, 36, 96)(18, 78, 25, 85, 24, 84, 43, 103, 38, 98)(26, 86, 29, 89, 39, 99, 56, 116, 45, 105)(33, 93, 37, 97, 47, 107, 57, 117, 52, 112)(41, 101, 44, 104, 46, 106, 59, 119, 55, 115)(49, 109, 51, 111, 60, 120, 58, 118, 53, 113)(121, 181, 123, 183, 133, 193, 142, 202, 126, 186)(122, 182, 124, 184, 136, 196, 149, 209, 130, 190)(125, 185, 138, 198, 157, 217, 151, 211, 140, 200)(127, 187, 131, 191, 145, 205, 132, 192, 134, 194)(128, 188, 129, 189, 146, 206, 164, 224, 144, 204)(135, 195, 153, 213, 171, 231, 160, 220, 155, 215)(137, 197, 152, 212, 169, 229, 159, 219, 141, 201)(139, 199, 143, 203, 161, 221, 167, 227, 150, 210)(147, 207, 156, 216, 173, 233, 166, 226, 148, 208)(154, 214, 158, 218, 175, 235, 180, 240, 168, 228)(162, 222, 165, 225, 178, 238, 177, 237, 163, 223)(170, 230, 172, 232, 179, 239, 176, 236, 174, 234)
	L = (1, 124)(2, 129)(3, 134)(4, 127)(5, 123)(6, 137)(7, 121)(8, 143)(9, 131)(10, 147)(11, 122)(12, 139)(13, 140)(14, 125)(15, 133)(16, 126)(17, 136)(18, 132)(19, 138)(20, 135)(21, 156)(22, 155)(23, 145)(24, 162)(25, 128)(26, 130)(27, 146)(28, 165)(29, 141)(30, 158)(31, 154)(32, 142)(33, 151)(34, 153)(35, 152)(36, 149)(37, 150)(38, 157)(39, 174)(40, 170)(41, 144)(42, 161)(43, 175)(44, 148)(45, 164)(46, 176)(47, 163)(48, 172)(49, 160)(50, 169)(51, 168)(52, 171)(53, 159)(54, 173)(55, 167)(56, 178)(57, 179)(58, 166)(59, 180)(60, 177)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E28.1354
Graph:: bipartite
	v = 24 e = 120 f = 42
	degree seq :: [ 10^24 ]

E28.1359 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 5})
Quotient :: dipole
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y2 * Y1)^2, (Y2^-1 * Y3^-1)^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y2^5, Y1^5, Y1 * Y2^-1 * Y1^-1 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y1 * Y2^-2 * Y3 * Y1^-1 * Y2^-1, (Y1 * Y2^-1)^3, Y3^-1 * Y1^-1 * Y2^-2 * Y3 * Y2^-2, (Y3 * Y2^-1)^5 ]
Map:: polytopal non-degenerate
	R = (1, 61, 2, 62, 8, 68, 24, 84, 5, 65)(3, 63, 13, 73, 43, 103, 50, 110, 16, 76)(4, 64, 18, 78, 49, 109, 45, 105, 20, 80)(6, 66, 25, 85, 44, 104, 17, 77, 9, 69)(7, 67, 28, 88, 27, 87, 36, 96, 10, 70)(11, 71, 38, 98, 26, 86, 34, 94, 21, 81)(12, 72, 41, 101, 40, 100, 53, 113, 30, 90)(14, 74, 32, 92, 52, 112, 19, 79, 47, 107)(15, 75, 48, 108, 60, 120, 55, 115, 33, 93)(22, 82, 56, 116, 54, 114, 58, 118, 42, 102)(23, 83, 46, 106, 59, 119, 35, 95, 57, 117)(29, 89, 37, 97, 31, 91, 51, 111, 39, 99)(121, 181, 123, 183, 134, 194, 147, 207, 126, 186)(122, 182, 129, 189, 143, 203, 160, 220, 131, 191)(124, 184, 139, 199, 151, 211, 128, 188, 141, 201)(125, 185, 142, 202, 150, 210, 165, 225, 133, 193)(127, 187, 149, 209, 163, 223, 169, 229, 135, 195)(130, 190, 155, 215, 176, 236, 144, 204, 157, 217)(132, 192, 162, 222, 145, 205, 148, 208, 153, 213)(136, 196, 158, 218, 161, 221, 175, 235, 152, 212)(137, 197, 171, 231, 172, 232, 180, 240, 166, 226)(138, 198, 154, 214, 174, 234, 179, 239, 168, 228)(140, 200, 173, 233, 177, 237, 156, 216, 167, 227)(146, 206, 170, 230, 159, 219, 164, 224, 178, 238)
	L = (1, 124)(2, 130)(3, 135)(4, 127)(5, 143)(6, 146)(7, 121)(8, 150)(9, 153)(10, 132)(11, 159)(12, 122)(13, 164)(14, 166)(15, 137)(16, 142)(17, 123)(18, 125)(19, 126)(20, 174)(21, 175)(22, 168)(23, 138)(24, 134)(25, 172)(26, 139)(27, 176)(28, 140)(29, 141)(30, 152)(31, 178)(32, 128)(33, 154)(34, 129)(35, 131)(36, 163)(37, 180)(38, 179)(39, 155)(40, 133)(41, 156)(42, 157)(43, 161)(44, 160)(45, 151)(46, 144)(47, 158)(48, 136)(49, 177)(50, 147)(51, 169)(52, 173)(53, 145)(54, 148)(55, 149)(56, 170)(57, 171)(58, 165)(59, 167)(60, 162)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E28.1355
Graph:: bipartite
	v = 24 e = 120 f = 42
	degree seq :: [ 10^24 ]

E28.1360 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 5})
Quotient :: dipole
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y1^-1 * Y3^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1)^2, Y1^2 * Y2 * Y3^-1, Y3 * Y2^-1 * Y1 * Y3 * Y2^-1, R * Y2 * Y1 * R * Y2^-1, Y3 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1, Y3^-1 * Y1^-3 * Y2, Y2^5, Y3^-1 * Y2^-1 * Y3 * Y2 * Y1 * Y2^-1, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1^-1, (Y2^-1 * Y1^-1 * Y3^-1)^2, (Y2^-1 * Y3^-1)^3, (Y2 * Y1^-1)^3, Y2 * Y1^-1 * Y2^-2 * Y1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 8, 68, 17, 77, 5, 65)(3, 63, 13, 73, 39, 99, 30, 90, 16, 76)(4, 64, 18, 78, 29, 89, 22, 82, 20, 80)(6, 66, 23, 83, 10, 70, 7, 67, 25, 85)(9, 69, 15, 75, 42, 102, 44, 104, 32, 92)(11, 71, 33, 93, 21, 81, 12, 72, 35, 95)(14, 74, 38, 98, 37, 97, 53, 113, 36, 96)(19, 79, 43, 103, 55, 115, 54, 114, 48, 108)(24, 84, 45, 105, 47, 107, 50, 110, 49, 109)(26, 86, 34, 94, 28, 88, 27, 87, 52, 112)(31, 91, 40, 100, 41, 101, 57, 117, 46, 106)(51, 111, 60, 120, 59, 119, 58, 118, 56, 116)(121, 181, 123, 183, 134, 194, 146, 206, 126, 186)(122, 182, 129, 189, 151, 211, 156, 216, 131, 191)(124, 184, 139, 199, 166, 226, 150, 210, 128, 188)(125, 185, 141, 201, 154, 214, 169, 229, 142, 202)(127, 187, 148, 208, 171, 231, 174, 234, 149, 209)(130, 190, 144, 204, 168, 228, 164, 224, 137, 197)(132, 192, 158, 218, 176, 236, 170, 230, 145, 205)(133, 193, 160, 220, 178, 238, 172, 232, 155, 215)(135, 195, 163, 223, 179, 239, 173, 233, 159, 219)(136, 196, 153, 213, 143, 203, 140, 200, 152, 212)(138, 198, 165, 225, 180, 240, 177, 237, 162, 222)(147, 207, 157, 217, 161, 221, 175, 235, 167, 227)
	L = (1, 124)(2, 130)(3, 135)(4, 127)(5, 129)(6, 144)(7, 121)(8, 141)(9, 138)(10, 132)(11, 154)(12, 122)(13, 128)(14, 161)(15, 137)(16, 160)(17, 123)(18, 125)(19, 167)(20, 165)(21, 133)(22, 139)(23, 148)(24, 147)(25, 140)(26, 171)(27, 126)(28, 155)(29, 152)(30, 134)(31, 175)(32, 163)(33, 158)(34, 157)(35, 143)(36, 176)(37, 131)(38, 159)(39, 153)(40, 162)(41, 150)(42, 136)(43, 149)(44, 151)(45, 145)(46, 178)(47, 142)(48, 179)(49, 180)(50, 168)(51, 173)(52, 169)(53, 146)(54, 166)(55, 164)(56, 177)(57, 156)(58, 174)(59, 170)(60, 172)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E28.1356
Graph:: bipartite
	v = 24 e = 120 f = 42
	degree seq :: [ 10^24 ]

E28.1361 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 5, 5})
Quotient :: dipole
Aut^+ = A5 (small group id <60, 5>)
Aut   = C2 x A5 (small group id <120, 35>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, Y2 * Y1^-1 * Y3^-1 * Y1^-1, (R * Y1)^2, R * Y2 * R * Y3^-1, Y1^5, Y2 * Y3^-4, Y2^5, Y3 * Y1^-1 * Y2^-1 * Y1^-1 * Y3 * Y1^-1, Y1^-1 * Y2 * Y1^4 * Y3^-1, Y1^-1 * Y3^2 * Y1^-2 * Y2^-2 * Y1^-1, Y3 * Y1^-2 * Y3 * Y2^-1 * Y1^-2 * Y2^-1, Y2 * Y1 * Y2^-1 * Y1^-2 * Y3^-2 * Y1^2 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 6, 66, 15, 75, 5, 65)(3, 63, 9, 69, 22, 82, 21, 81, 8, 68)(4, 64, 11, 71, 26, 86, 30, 90, 13, 73)(7, 67, 18, 78, 38, 98, 37, 97, 17, 77)(10, 70, 25, 85, 48, 108, 47, 107, 24, 84)(12, 72, 28, 88, 52, 112, 35, 95, 29, 89)(14, 74, 31, 91, 54, 114, 44, 104, 23, 83)(16, 76, 34, 94, 43, 103, 49, 109, 33, 93)(19, 79, 40, 100, 32, 92, 45, 105, 39, 99)(20, 80, 41, 101, 57, 117, 55, 115, 42, 102)(27, 87, 51, 111, 36, 96, 56, 116, 50, 110)(46, 106, 59, 119, 60, 120, 58, 118, 53, 113)(121, 181, 123, 183, 130, 190, 132, 192, 124, 184)(122, 182, 127, 187, 139, 199, 140, 200, 128, 188)(125, 185, 131, 191, 147, 207, 152, 212, 134, 194)(126, 186, 136, 196, 155, 215, 156, 216, 137, 197)(129, 189, 143, 203, 165, 225, 166, 226, 144, 204)(133, 193, 148, 208, 173, 233, 159, 219, 138, 198)(135, 195, 151, 211, 175, 235, 168, 228, 153, 213)(141, 201, 161, 221, 178, 238, 172, 232, 154, 214)(142, 202, 163, 223, 150, 210, 158, 218, 164, 224)(145, 205, 162, 222, 160, 220, 171, 231, 149, 209)(146, 206, 169, 229, 167, 227, 179, 239, 170, 230)(157, 217, 176, 236, 180, 240, 177, 237, 174, 234)
	L = (1, 124)(2, 128)(3, 121)(4, 132)(5, 134)(6, 137)(7, 122)(8, 140)(9, 144)(10, 123)(11, 125)(12, 130)(13, 138)(14, 152)(15, 153)(16, 126)(17, 156)(18, 159)(19, 127)(20, 139)(21, 154)(22, 164)(23, 129)(24, 166)(25, 149)(26, 170)(27, 131)(28, 133)(29, 171)(30, 163)(31, 135)(32, 147)(33, 168)(34, 172)(35, 136)(36, 155)(37, 174)(38, 150)(39, 173)(40, 162)(41, 141)(42, 145)(43, 142)(44, 158)(45, 143)(46, 165)(47, 169)(48, 175)(49, 146)(50, 179)(51, 160)(52, 178)(53, 148)(54, 177)(55, 151)(56, 157)(57, 180)(58, 161)(59, 167)(60, 176)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E28.1357
Graph:: bipartite
	v = 24 e = 120 f = 42
	degree seq :: [ 10^24 ]

E28.1362 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 10})
Quotient :: dipole
Aut^+ = C6 x D10 (small group id <60, 10>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^3, Y2^-1 * Y3 * Y2 * Y3, Y2^-1 * Y1 * Y2 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3 * Y1)^10 ]
Map:: non-degenerate
	R = (1, 61, 2, 62)(3, 63, 6, 66)(4, 64, 10, 70)(5, 65, 8, 68)(7, 67, 13, 73)(9, 69, 15, 75)(11, 71, 17, 77)(12, 72, 18, 78)(14, 74, 20, 80)(16, 76, 22, 82)(19, 79, 25, 85)(21, 81, 27, 87)(23, 83, 29, 89)(24, 84, 30, 90)(26, 86, 32, 92)(28, 88, 34, 94)(31, 91, 37, 97)(33, 93, 39, 99)(35, 95, 41, 101)(36, 96, 42, 102)(38, 98, 44, 104)(40, 100, 46, 106)(43, 103, 49, 109)(45, 105, 51, 111)(47, 107, 53, 113)(48, 108, 54, 114)(50, 110, 56, 116)(52, 112, 55, 115)(57, 117, 59, 119)(58, 118, 60, 120)(121, 181, 123, 183, 125, 185)(122, 182, 126, 186, 128, 188)(124, 184, 129, 189, 131, 191)(127, 187, 132, 192, 134, 194)(130, 190, 135, 195, 137, 197)(133, 193, 138, 198, 140, 200)(136, 196, 141, 201, 143, 203)(139, 199, 144, 204, 146, 206)(142, 202, 147, 207, 149, 209)(145, 205, 150, 210, 152, 212)(148, 208, 153, 213, 155, 215)(151, 211, 156, 216, 158, 218)(154, 214, 159, 219, 161, 221)(157, 217, 162, 222, 164, 224)(160, 220, 165, 225, 167, 227)(163, 223, 168, 228, 170, 230)(166, 226, 171, 231, 173, 233)(169, 229, 174, 234, 176, 236)(172, 232, 177, 237, 178, 238)(175, 235, 179, 239, 180, 240)
	L = (1, 124)(2, 127)(3, 129)(4, 121)(5, 131)(6, 132)(7, 122)(8, 134)(9, 123)(10, 136)(11, 125)(12, 126)(13, 139)(14, 128)(15, 141)(16, 130)(17, 143)(18, 144)(19, 133)(20, 146)(21, 135)(22, 148)(23, 137)(24, 138)(25, 151)(26, 140)(27, 153)(28, 142)(29, 155)(30, 156)(31, 145)(32, 158)(33, 147)(34, 160)(35, 149)(36, 150)(37, 163)(38, 152)(39, 165)(40, 154)(41, 167)(42, 168)(43, 157)(44, 170)(45, 159)(46, 172)(47, 161)(48, 162)(49, 175)(50, 164)(51, 177)(52, 166)(53, 178)(54, 179)(55, 169)(56, 180)(57, 171)(58, 173)(59, 174)(60, 176)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 12, 20, 12, 20 ), ( 12, 20, 12, 20, 12, 20 ) }
Outer automorphisms :: reflexible
Dual of E28.1367
Graph:: simple bipartite
	v = 50 e = 120 f = 16
	degree seq :: [ 4^30, 6^20 ]

E28.1363 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 10})
Quotient :: dipole
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^3, Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1)^2, (R * Y2)^2, (Y3 * Y1)^10 ]
Map:: non-degenerate
	R = (1, 61, 2, 62)(3, 63, 8, 68)(4, 64, 10, 70)(5, 65, 6, 66)(7, 67, 13, 73)(9, 69, 15, 75)(11, 71, 16, 76)(12, 72, 18, 78)(14, 74, 19, 79)(17, 77, 23, 83)(20, 80, 26, 86)(21, 81, 27, 87)(22, 82, 28, 88)(24, 84, 30, 90)(25, 85, 31, 91)(29, 89, 35, 95)(32, 92, 38, 98)(33, 93, 39, 99)(34, 94, 40, 100)(36, 96, 42, 102)(37, 97, 43, 103)(41, 101, 47, 107)(44, 104, 50, 110)(45, 105, 51, 111)(46, 106, 52, 112)(48, 108, 54, 114)(49, 109, 55, 115)(53, 113, 56, 116)(57, 117, 60, 120)(58, 118, 59, 119)(121, 181, 123, 183, 125, 185)(122, 182, 126, 186, 128, 188)(124, 184, 129, 189, 131, 191)(127, 187, 132, 192, 134, 194)(130, 190, 136, 196, 135, 195)(133, 193, 139, 199, 138, 198)(137, 197, 142, 202, 141, 201)(140, 200, 145, 205, 144, 204)(143, 203, 147, 207, 148, 208)(146, 206, 150, 210, 151, 211)(149, 209, 153, 213, 154, 214)(152, 212, 156, 216, 157, 217)(155, 215, 160, 220, 159, 219)(158, 218, 163, 223, 162, 222)(161, 221, 166, 226, 165, 225)(164, 224, 169, 229, 168, 228)(167, 227, 171, 231, 172, 232)(170, 230, 174, 234, 175, 235)(173, 233, 177, 237, 178, 238)(176, 236, 179, 239, 180, 240)
	L = (1, 124)(2, 127)(3, 129)(4, 121)(5, 131)(6, 132)(7, 122)(8, 134)(9, 123)(10, 137)(11, 125)(12, 126)(13, 140)(14, 128)(15, 141)(16, 142)(17, 130)(18, 144)(19, 145)(20, 133)(21, 135)(22, 136)(23, 149)(24, 138)(25, 139)(26, 152)(27, 153)(28, 154)(29, 143)(30, 156)(31, 157)(32, 146)(33, 147)(34, 148)(35, 161)(36, 150)(37, 151)(38, 164)(39, 165)(40, 166)(41, 155)(42, 168)(43, 169)(44, 158)(45, 159)(46, 160)(47, 173)(48, 162)(49, 163)(50, 176)(51, 177)(52, 178)(53, 167)(54, 179)(55, 180)(56, 170)(57, 171)(58, 172)(59, 174)(60, 175)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 12, 20, 12, 20 ), ( 12, 20, 12, 20, 12, 20 ) }
Outer automorphisms :: reflexible
Dual of E28.1368
Graph:: simple bipartite
	v = 50 e = 120 f = 16
	degree seq :: [ 4^30, 6^20 ]

E28.1364 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 10})
Quotient :: dipole
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3 * Y2^-1 * Y3, (Y3 * Y2)^2, (R * Y1)^2, (Y1 * Y2^-1)^2, (R * Y2)^2, (R * Y3)^2, (Y3^-1 * Y1)^10 ]
Map:: non-degenerate
	R = (1, 61, 2, 62)(3, 63, 9, 69)(4, 64, 12, 72)(5, 65, 7, 67)(6, 66, 13, 73)(8, 68, 15, 75)(10, 70, 16, 76)(11, 71, 17, 77)(14, 74, 21, 81)(18, 78, 25, 85)(19, 79, 26, 86)(20, 80, 27, 87)(22, 82, 28, 88)(23, 83, 29, 89)(24, 84, 30, 90)(31, 91, 37, 97)(32, 92, 38, 98)(33, 93, 39, 99)(34, 94, 40, 100)(35, 95, 41, 101)(36, 96, 42, 102)(43, 103, 49, 109)(44, 104, 50, 110)(45, 105, 51, 111)(46, 106, 52, 112)(47, 107, 53, 113)(48, 108, 54, 114)(55, 115, 59, 119)(56, 116, 58, 118)(57, 117, 60, 120)(121, 181, 123, 183, 125, 185)(122, 182, 127, 187, 129, 189)(124, 184, 131, 191, 126, 186)(128, 188, 134, 194, 130, 190)(132, 192, 133, 193, 137, 197)(135, 195, 136, 196, 141, 201)(138, 198, 140, 200, 139, 199)(142, 202, 144, 204, 143, 203)(145, 205, 146, 206, 147, 207)(148, 208, 149, 209, 150, 210)(151, 211, 153, 213, 152, 212)(154, 214, 156, 216, 155, 215)(157, 217, 158, 218, 159, 219)(160, 220, 161, 221, 162, 222)(163, 223, 165, 225, 164, 224)(166, 226, 168, 228, 167, 227)(169, 229, 170, 230, 171, 231)(172, 232, 173, 233, 174, 234)(175, 235, 177, 237, 176, 236)(178, 238, 180, 240, 179, 239)
	L = (1, 124)(2, 128)(3, 131)(4, 123)(5, 126)(6, 121)(7, 134)(8, 127)(9, 130)(10, 122)(11, 125)(12, 138)(13, 140)(14, 129)(15, 142)(16, 144)(17, 139)(18, 133)(19, 132)(20, 137)(21, 143)(22, 136)(23, 135)(24, 141)(25, 151)(26, 153)(27, 152)(28, 154)(29, 156)(30, 155)(31, 146)(32, 145)(33, 147)(34, 149)(35, 148)(36, 150)(37, 163)(38, 165)(39, 164)(40, 166)(41, 168)(42, 167)(43, 158)(44, 157)(45, 159)(46, 161)(47, 160)(48, 162)(49, 175)(50, 177)(51, 176)(52, 178)(53, 180)(54, 179)(55, 170)(56, 169)(57, 171)(58, 173)(59, 172)(60, 174)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 12, 20, 12, 20 ), ( 12, 20, 12, 20, 12, 20 ) }
Outer automorphisms :: reflexible
Dual of E28.1369
Graph:: simple bipartite
	v = 50 e = 120 f = 16
	degree seq :: [ 4^30, 6^20 ]

E28.1365 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 10})
Quotient :: dipole
Aut^+ = C6 x D10 (small group id <60, 10>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1 * Y2, Y1^3, Y1 * Y3^-2, (Y2 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (Y1 * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^10 ]
Map:: polytopal non-degenerate
	R = (1, 61, 2, 62, 5, 65)(3, 63, 8, 68, 6, 66)(4, 64, 9, 69, 7, 67)(10, 70, 14, 74, 11, 71)(12, 72, 15, 75, 13, 73)(16, 76, 18, 78, 17, 77)(19, 79, 21, 81, 20, 80)(22, 82, 24, 84, 23, 83)(25, 85, 27, 87, 26, 86)(28, 88, 30, 90, 29, 89)(31, 91, 33, 93, 32, 92)(34, 94, 36, 96, 35, 95)(37, 97, 39, 99, 38, 98)(40, 100, 42, 102, 41, 101)(43, 103, 45, 105, 44, 104)(46, 106, 48, 108, 47, 107)(49, 109, 51, 111, 50, 110)(52, 112, 54, 114, 53, 113)(55, 115, 57, 117, 56, 116)(58, 118, 60, 120, 59, 119)(121, 181, 123, 183, 122, 182, 128, 188, 125, 185, 126, 186)(124, 184, 132, 192, 129, 189, 135, 195, 127, 187, 133, 193)(130, 190, 136, 196, 134, 194, 138, 198, 131, 191, 137, 197)(139, 199, 145, 205, 141, 201, 147, 207, 140, 200, 146, 206)(142, 202, 148, 208, 144, 204, 150, 210, 143, 203, 149, 209)(151, 211, 157, 217, 153, 213, 159, 219, 152, 212, 158, 218)(154, 214, 160, 220, 156, 216, 162, 222, 155, 215, 161, 221)(163, 223, 169, 229, 165, 225, 171, 231, 164, 224, 170, 230)(166, 226, 172, 232, 168, 228, 174, 234, 167, 227, 173, 233)(175, 235, 178, 238, 177, 237, 180, 240, 176, 236, 179, 239)
	L = (1, 124)(2, 129)(3, 130)(4, 122)(5, 127)(6, 131)(7, 121)(8, 134)(9, 125)(10, 128)(11, 123)(12, 139)(13, 140)(14, 126)(15, 141)(16, 142)(17, 143)(18, 144)(19, 135)(20, 132)(21, 133)(22, 138)(23, 136)(24, 137)(25, 151)(26, 152)(27, 153)(28, 154)(29, 155)(30, 156)(31, 147)(32, 145)(33, 146)(34, 150)(35, 148)(36, 149)(37, 163)(38, 164)(39, 165)(40, 166)(41, 167)(42, 168)(43, 159)(44, 157)(45, 158)(46, 162)(47, 160)(48, 161)(49, 175)(50, 176)(51, 177)(52, 178)(53, 179)(54, 180)(55, 171)(56, 169)(57, 170)(58, 174)(59, 172)(60, 173)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 20, 4, 20, 4, 20 ), ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E28.1366
Graph:: bipartite
	v = 30 e = 120 f = 36
	degree seq :: [ 6^20, 12^10 ]

E28.1366 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 10})
Quotient :: dipole
Aut^+ = C6 x D10 (small group id <60, 10>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^3 * Y2, Y3 * Y2 * Y3^-1 * Y2, (R * Y3)^2, (Y1^-1 * Y2)^2, (R * Y1)^2, Y3^-1 * Y1^-1 * Y3 * Y1^-1, (R * Y2)^2, Y1^10 ]
Map:: polytopal non-degenerate
	R = (1, 61, 2, 62, 7, 67, 17, 77, 29, 89, 41, 101, 39, 99, 27, 87, 15, 75, 5, 65)(3, 63, 11, 71, 23, 83, 35, 95, 47, 107, 52, 112, 42, 102, 30, 90, 18, 78, 8, 68)(4, 64, 14, 74, 26, 86, 38, 98, 50, 110, 53, 113, 43, 103, 31, 91, 19, 79, 9, 69)(6, 66, 16, 76, 28, 88, 40, 100, 51, 111, 54, 114, 44, 104, 32, 92, 20, 80, 10, 70)(12, 72, 21, 81, 33, 93, 45, 105, 55, 115, 59, 119, 57, 117, 48, 108, 36, 96, 24, 84)(13, 73, 22, 82, 34, 94, 46, 106, 56, 116, 60, 120, 58, 118, 49, 109, 37, 97, 25, 85)(121, 181, 123, 183)(122, 182, 128, 188)(124, 184, 132, 192)(125, 185, 131, 191)(126, 186, 133, 193)(127, 187, 138, 198)(129, 189, 141, 201)(130, 190, 142, 202)(134, 194, 144, 204)(135, 195, 143, 203)(136, 196, 145, 205)(137, 197, 150, 210)(139, 199, 153, 213)(140, 200, 154, 214)(146, 206, 156, 216)(147, 207, 155, 215)(148, 208, 157, 217)(149, 209, 162, 222)(151, 211, 165, 225)(152, 212, 166, 226)(158, 218, 168, 228)(159, 219, 167, 227)(160, 220, 169, 229)(161, 221, 172, 232)(163, 223, 175, 235)(164, 224, 176, 236)(170, 230, 177, 237)(171, 231, 178, 238)(173, 233, 179, 239)(174, 234, 180, 240)
	L = (1, 124)(2, 129)(3, 132)(4, 133)(5, 134)(6, 121)(7, 139)(8, 141)(9, 142)(10, 122)(11, 144)(12, 126)(13, 123)(14, 145)(15, 146)(16, 125)(17, 151)(18, 153)(19, 154)(20, 127)(21, 130)(22, 128)(23, 156)(24, 136)(25, 131)(26, 157)(27, 158)(28, 135)(29, 163)(30, 165)(31, 166)(32, 137)(33, 140)(34, 138)(35, 168)(36, 148)(37, 143)(38, 169)(39, 170)(40, 147)(41, 173)(42, 175)(43, 176)(44, 149)(45, 152)(46, 150)(47, 177)(48, 160)(49, 155)(50, 178)(51, 159)(52, 179)(53, 180)(54, 161)(55, 164)(56, 162)(57, 171)(58, 167)(59, 174)(60, 172)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1365
Graph:: simple bipartite
	v = 36 e = 120 f = 30
	degree seq :: [ 4^30, 20^6 ]

E28.1367 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 10})
Quotient :: dipole
Aut^+ = C6 x D10 (small group id <60, 10>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^3 * Y3, Y1 * Y3 * Y1^-1 * Y3, (R * Y3)^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (Y2^-1 * Y3)^2, Y1^-1 * Y2^-1 * Y1 * Y2^-1, Y2 * Y1^-1 * Y3 * Y2^-1 * Y1^-2, Y2^10 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 7, 67, 4, 64, 9, 69, 5, 65)(3, 63, 10, 70, 17, 77, 12, 72, 21, 81, 13, 73)(6, 66, 8, 68, 18, 78, 14, 74, 20, 80, 15, 75)(11, 71, 22, 82, 29, 89, 24, 84, 33, 93, 25, 85)(16, 76, 19, 79, 30, 90, 26, 86, 32, 92, 27, 87)(23, 83, 34, 94, 41, 101, 36, 96, 45, 105, 37, 97)(28, 88, 31, 91, 42, 102, 38, 98, 44, 104, 39, 99)(35, 95, 46, 106, 52, 112, 48, 108, 56, 116, 49, 109)(40, 100, 43, 103, 53, 113, 50, 110, 55, 115, 51, 111)(47, 107, 54, 114, 59, 119, 57, 117, 60, 120, 58, 118)(121, 181, 123, 183, 131, 191, 143, 203, 155, 215, 167, 227, 160, 220, 148, 208, 136, 196, 126, 186)(122, 182, 128, 188, 139, 199, 151, 211, 163, 223, 174, 234, 166, 226, 154, 214, 142, 202, 130, 190)(124, 184, 134, 194, 146, 206, 158, 218, 170, 230, 177, 237, 168, 228, 156, 216, 144, 204, 132, 192)(125, 185, 135, 195, 147, 207, 159, 219, 171, 231, 178, 238, 169, 229, 157, 217, 145, 205, 133, 193)(127, 187, 137, 197, 149, 209, 161, 221, 172, 232, 179, 239, 173, 233, 162, 222, 150, 210, 138, 198)(129, 189, 141, 201, 153, 213, 165, 225, 176, 236, 180, 240, 175, 235, 164, 224, 152, 212, 140, 200)
	L = (1, 124)(2, 129)(3, 132)(4, 121)(5, 127)(6, 134)(7, 125)(8, 140)(9, 122)(10, 141)(11, 144)(12, 123)(13, 137)(14, 126)(15, 138)(16, 146)(17, 133)(18, 135)(19, 152)(20, 128)(21, 130)(22, 153)(23, 156)(24, 131)(25, 149)(26, 136)(27, 150)(28, 158)(29, 145)(30, 147)(31, 164)(32, 139)(33, 142)(34, 165)(35, 168)(36, 143)(37, 161)(38, 148)(39, 162)(40, 170)(41, 157)(42, 159)(43, 175)(44, 151)(45, 154)(46, 176)(47, 177)(48, 155)(49, 172)(50, 160)(51, 173)(52, 169)(53, 171)(54, 180)(55, 163)(56, 166)(57, 167)(58, 179)(59, 178)(60, 174)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.1362
Graph:: bipartite
	v = 16 e = 120 f = 50
	degree seq :: [ 12^10, 20^6 ]

E28.1368 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 10})
Quotient :: dipole
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-3 * Y3, R * Y2 * R * Y2^-1, (Y2^-1 * Y3)^2, Y3 * Y1 * Y3 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (Y1^-1 * Y2^-1)^2, (Y2^-1 * Y1)^2, Y2^10 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 7, 67, 4, 64, 9, 69, 5, 65)(3, 63, 11, 71, 21, 81, 13, 73, 17, 77, 10, 70)(6, 66, 15, 75, 20, 80, 14, 74, 18, 78, 8, 68)(12, 72, 22, 82, 29, 89, 25, 85, 33, 93, 23, 83)(16, 76, 19, 79, 30, 90, 26, 86, 32, 92, 27, 87)(24, 84, 35, 95, 45, 105, 37, 97, 41, 101, 34, 94)(28, 88, 39, 99, 44, 104, 38, 98, 42, 102, 31, 91)(36, 96, 46, 106, 52, 112, 49, 109, 56, 116, 47, 107)(40, 100, 43, 103, 53, 113, 50, 110, 55, 115, 51, 111)(48, 108, 57, 117, 60, 120, 58, 118, 59, 119, 54, 114)(121, 181, 123, 183, 132, 192, 144, 204, 156, 216, 168, 228, 160, 220, 148, 208, 136, 196, 126, 186)(122, 182, 128, 188, 139, 199, 151, 211, 163, 223, 174, 234, 166, 226, 154, 214, 142, 202, 130, 190)(124, 184, 134, 194, 146, 206, 158, 218, 170, 230, 178, 238, 169, 229, 157, 217, 145, 205, 133, 193)(125, 185, 135, 195, 147, 207, 159, 219, 171, 231, 177, 237, 167, 227, 155, 215, 143, 203, 131, 191)(127, 187, 137, 197, 149, 209, 161, 221, 172, 232, 179, 239, 173, 233, 162, 222, 150, 210, 138, 198)(129, 189, 141, 201, 153, 213, 165, 225, 176, 236, 180, 240, 175, 235, 164, 224, 152, 212, 140, 200)
	L = (1, 124)(2, 129)(3, 133)(4, 121)(5, 127)(6, 134)(7, 125)(8, 140)(9, 122)(10, 141)(11, 137)(12, 145)(13, 123)(14, 126)(15, 138)(16, 146)(17, 131)(18, 135)(19, 152)(20, 128)(21, 130)(22, 153)(23, 149)(24, 157)(25, 132)(26, 136)(27, 150)(28, 158)(29, 143)(30, 147)(31, 164)(32, 139)(33, 142)(34, 165)(35, 161)(36, 169)(37, 144)(38, 148)(39, 162)(40, 170)(41, 155)(42, 159)(43, 175)(44, 151)(45, 154)(46, 176)(47, 172)(48, 178)(49, 156)(50, 160)(51, 173)(52, 167)(53, 171)(54, 180)(55, 163)(56, 166)(57, 179)(58, 168)(59, 177)(60, 174)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.1363
Graph:: bipartite
	v = 16 e = 120 f = 50
	degree seq :: [ 12^10, 20^6 ]

E28.1369 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 10})
Quotient :: dipole
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, (Y3 * Y2^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1^-1)^2, (Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, Y1^6, (R * Y2^-1 * Y1 * Y2)^2, Y2^10 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 6, 66, 14, 74, 12, 72, 4, 64)(3, 63, 9, 69, 19, 79, 26, 86, 15, 75, 8, 68)(5, 65, 11, 71, 22, 82, 25, 85, 16, 76, 7, 67)(10, 70, 18, 78, 27, 87, 38, 98, 31, 91, 20, 80)(13, 73, 17, 77, 28, 88, 37, 97, 34, 94, 23, 83)(21, 81, 32, 92, 43, 103, 49, 109, 39, 99, 30, 90)(24, 84, 35, 95, 46, 106, 48, 108, 40, 100, 29, 89)(33, 93, 42, 102, 50, 110, 57, 117, 53, 113, 44, 104)(36, 96, 41, 101, 51, 111, 56, 116, 55, 115, 47, 107)(45, 105, 54, 114, 59, 119, 60, 120, 58, 118, 52, 112)(121, 181, 123, 183, 130, 190, 141, 201, 153, 213, 165, 225, 156, 216, 144, 204, 133, 193, 125, 185)(122, 182, 127, 187, 137, 197, 149, 209, 161, 221, 172, 232, 162, 222, 150, 210, 138, 198, 128, 188)(124, 184, 131, 191, 143, 203, 155, 215, 167, 227, 174, 234, 164, 224, 152, 212, 140, 200, 129, 189)(126, 186, 135, 195, 147, 207, 159, 219, 170, 230, 178, 238, 171, 231, 160, 220, 148, 208, 136, 196)(132, 192, 139, 199, 151, 211, 163, 223, 173, 233, 179, 239, 175, 235, 166, 226, 154, 214, 142, 202)(134, 194, 145, 205, 157, 217, 168, 228, 176, 236, 180, 240, 177, 237, 169, 229, 158, 218, 146, 206)
	L = (1, 122)(2, 126)(3, 129)(4, 121)(5, 131)(6, 134)(7, 125)(8, 123)(9, 139)(10, 138)(11, 142)(12, 124)(13, 137)(14, 132)(15, 128)(16, 127)(17, 148)(18, 147)(19, 146)(20, 130)(21, 152)(22, 145)(23, 133)(24, 155)(25, 136)(26, 135)(27, 158)(28, 157)(29, 144)(30, 141)(31, 140)(32, 163)(33, 162)(34, 143)(35, 166)(36, 161)(37, 154)(38, 151)(39, 150)(40, 149)(41, 171)(42, 170)(43, 169)(44, 153)(45, 174)(46, 168)(47, 156)(48, 160)(49, 159)(50, 177)(51, 176)(52, 165)(53, 164)(54, 179)(55, 167)(56, 175)(57, 173)(58, 172)(59, 180)(60, 178)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.1364
Graph:: bipartite
	v = 16 e = 120 f = 50
	degree seq :: [ 12^10, 20^6 ]

E28.1370 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 10})
Quotient :: dipole
Aut^+ = C6 x D10 (small group id <60, 10>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^-3 * Y3, Y3 * Y2^-1 * Y3 * Y2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3 * Y1 * Y3 * Y2 * Y1 * Y2^-1, (Y2 * Y1 * Y2^-1 * Y1)^5 ]
Map:: non-degenerate
	R = (1, 61, 2, 62)(3, 63, 9, 69)(4, 64, 12, 72)(5, 65, 13, 73)(6, 66, 14, 74)(7, 67, 17, 77)(8, 68, 18, 78)(10, 70, 15, 75)(11, 71, 16, 76)(19, 79, 25, 85)(20, 80, 26, 86)(21, 81, 27, 87)(22, 82, 28, 88)(23, 83, 29, 89)(24, 84, 30, 90)(31, 91, 37, 97)(32, 92, 38, 98)(33, 93, 39, 99)(34, 94, 40, 100)(35, 95, 41, 101)(36, 96, 42, 102)(43, 103, 49, 109)(44, 104, 50, 110)(45, 105, 51, 111)(46, 106, 52, 112)(47, 107, 53, 113)(48, 108, 54, 114)(55, 115, 58, 118)(56, 116, 59, 119)(57, 117, 60, 120)(121, 181, 123, 183, 130, 190, 124, 184, 131, 191, 125, 185)(122, 182, 126, 186, 135, 195, 127, 187, 136, 196, 128, 188)(129, 189, 139, 199, 132, 192, 140, 200, 133, 193, 141, 201)(134, 194, 142, 202, 137, 197, 143, 203, 138, 198, 144, 204)(145, 205, 151, 211, 146, 206, 152, 212, 147, 207, 153, 213)(148, 208, 154, 214, 149, 209, 155, 215, 150, 210, 156, 216)(157, 217, 163, 223, 158, 218, 164, 224, 159, 219, 165, 225)(160, 220, 166, 226, 161, 221, 167, 227, 162, 222, 168, 228)(169, 229, 175, 235, 170, 230, 176, 236, 171, 231, 177, 237)(172, 232, 178, 238, 173, 233, 179, 239, 174, 234, 180, 240)
	L = (1, 124)(2, 127)(3, 131)(4, 121)(5, 130)(6, 136)(7, 122)(8, 135)(9, 140)(10, 125)(11, 123)(12, 141)(13, 139)(14, 143)(15, 128)(16, 126)(17, 144)(18, 142)(19, 133)(20, 129)(21, 132)(22, 138)(23, 134)(24, 137)(25, 152)(26, 153)(27, 151)(28, 155)(29, 156)(30, 154)(31, 147)(32, 145)(33, 146)(34, 150)(35, 148)(36, 149)(37, 164)(38, 165)(39, 163)(40, 167)(41, 168)(42, 166)(43, 159)(44, 157)(45, 158)(46, 162)(47, 160)(48, 161)(49, 176)(50, 177)(51, 175)(52, 179)(53, 180)(54, 178)(55, 171)(56, 169)(57, 170)(58, 174)(59, 172)(60, 173)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 6, 20, 6, 20 ), ( 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20 ) }
Outer automorphisms :: reflexible
Dual of E28.1373
Graph:: bipartite
	v = 40 e = 120 f = 26
	degree seq :: [ 4^30, 12^10 ]

E28.1371 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 10})
Quotient :: dipole
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^-3 * Y3, Y3 * Y2 * Y3 * Y2^-1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y3 * Y2 * Y1 * Y2^-1, (Y3 * Y1)^10 ]
Map:: non-degenerate
	R = (1, 61, 2, 62)(3, 63, 9, 69)(4, 64, 12, 72)(5, 65, 13, 73)(6, 66, 14, 74)(7, 67, 17, 77)(8, 68, 18, 78)(10, 70, 16, 76)(11, 71, 15, 75)(19, 79, 25, 85)(20, 80, 26, 86)(21, 81, 27, 87)(22, 82, 28, 88)(23, 83, 29, 89)(24, 84, 30, 90)(31, 91, 37, 97)(32, 92, 38, 98)(33, 93, 39, 99)(34, 94, 40, 100)(35, 95, 41, 101)(36, 96, 42, 102)(43, 103, 49, 109)(44, 104, 50, 110)(45, 105, 51, 111)(46, 106, 52, 112)(47, 107, 53, 113)(48, 108, 54, 114)(55, 115, 60, 120)(56, 116, 59, 119)(57, 117, 58, 118)(121, 181, 123, 183, 130, 190, 124, 184, 131, 191, 125, 185)(122, 182, 126, 186, 135, 195, 127, 187, 136, 196, 128, 188)(129, 189, 139, 199, 133, 193, 140, 200, 132, 192, 141, 201)(134, 194, 142, 202, 138, 198, 143, 203, 137, 197, 144, 204)(145, 205, 151, 211, 147, 207, 152, 212, 146, 206, 153, 213)(148, 208, 154, 214, 150, 210, 155, 215, 149, 209, 156, 216)(157, 217, 163, 223, 159, 219, 164, 224, 158, 218, 165, 225)(160, 220, 166, 226, 162, 222, 167, 227, 161, 221, 168, 228)(169, 229, 175, 235, 171, 231, 176, 236, 170, 230, 177, 237)(172, 232, 178, 238, 174, 234, 179, 239, 173, 233, 180, 240)
	L = (1, 124)(2, 127)(3, 131)(4, 121)(5, 130)(6, 136)(7, 122)(8, 135)(9, 140)(10, 125)(11, 123)(12, 139)(13, 141)(14, 143)(15, 128)(16, 126)(17, 142)(18, 144)(19, 132)(20, 129)(21, 133)(22, 137)(23, 134)(24, 138)(25, 152)(26, 151)(27, 153)(28, 155)(29, 154)(30, 156)(31, 146)(32, 145)(33, 147)(34, 149)(35, 148)(36, 150)(37, 164)(38, 163)(39, 165)(40, 167)(41, 166)(42, 168)(43, 158)(44, 157)(45, 159)(46, 161)(47, 160)(48, 162)(49, 176)(50, 175)(51, 177)(52, 179)(53, 178)(54, 180)(55, 170)(56, 169)(57, 171)(58, 173)(59, 172)(60, 174)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 6, 20, 6, 20 ), ( 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20 ) }
Outer automorphisms :: reflexible
Dual of E28.1375
Graph:: bipartite
	v = 40 e = 120 f = 26
	degree seq :: [ 4^30, 12^10 ]

E28.1372 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 10})
Quotient :: dipole
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^3, Y3 * Y1 * Y2^-2 * Y1 * Y2^-1, Y2^6, (Y3^-1 * Y1)^10 ]
Map:: non-degenerate
	R = (1, 61, 2, 62)(3, 63, 7, 67)(4, 64, 9, 69)(5, 65, 11, 71)(6, 66, 13, 73)(8, 68, 14, 74)(10, 70, 12, 72)(15, 75, 23, 83)(16, 76, 24, 84)(17, 77, 25, 85)(18, 78, 26, 86)(19, 79, 27, 87)(20, 80, 28, 88)(21, 81, 29, 89)(22, 82, 30, 90)(31, 91, 37, 97)(32, 92, 38, 98)(33, 93, 39, 99)(34, 94, 40, 100)(35, 95, 41, 101)(36, 96, 42, 102)(43, 103, 49, 109)(44, 104, 50, 110)(45, 105, 51, 111)(46, 106, 52, 112)(47, 107, 53, 113)(48, 108, 54, 114)(55, 115, 59, 119)(56, 116, 58, 118)(57, 117, 60, 120)(121, 181, 123, 183, 128, 188, 137, 197, 130, 190, 124, 184)(122, 182, 125, 185, 132, 192, 141, 201, 134, 194, 126, 186)(127, 187, 135, 195, 129, 189, 138, 198, 145, 205, 136, 196)(131, 191, 139, 199, 133, 193, 142, 202, 149, 209, 140, 200)(143, 203, 151, 211, 144, 204, 153, 213, 146, 206, 152, 212)(147, 207, 154, 214, 148, 208, 156, 216, 150, 210, 155, 215)(157, 217, 163, 223, 158, 218, 165, 225, 159, 219, 164, 224)(160, 220, 166, 226, 161, 221, 168, 228, 162, 222, 167, 227)(169, 229, 175, 235, 170, 230, 177, 237, 171, 231, 176, 236)(172, 232, 178, 238, 173, 233, 180, 240, 174, 234, 179, 239)
	L = (1, 124)(2, 126)(3, 121)(4, 130)(5, 122)(6, 134)(7, 136)(8, 123)(9, 135)(10, 137)(11, 140)(12, 125)(13, 139)(14, 141)(15, 127)(16, 145)(17, 128)(18, 129)(19, 131)(20, 149)(21, 132)(22, 133)(23, 152)(24, 151)(25, 138)(26, 153)(27, 155)(28, 154)(29, 142)(30, 156)(31, 143)(32, 146)(33, 144)(34, 147)(35, 150)(36, 148)(37, 164)(38, 163)(39, 165)(40, 167)(41, 166)(42, 168)(43, 157)(44, 159)(45, 158)(46, 160)(47, 162)(48, 161)(49, 176)(50, 175)(51, 177)(52, 179)(53, 178)(54, 180)(55, 169)(56, 171)(57, 170)(58, 172)(59, 174)(60, 173)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 6, 20, 6, 20 ), ( 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20 ) }
Outer automorphisms :: reflexible
Dual of E28.1374
Graph:: bipartite
	v = 40 e = 120 f = 26
	degree seq :: [ 4^30, 12^10 ]

E28.1373 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 10})
Quotient :: dipole
Aut^+ = C6 x D10 (small group id <60, 10>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1 * Y3^-2, Y2^-1 * Y3^-1 * Y2^-1 * Y3, (R * Y3)^2, (R * Y1)^2, R * Y2 * R * Y2^-1, (Y1^-1, Y2^-1), (Y3^-1 * Y1^-1)^2, Y2^10 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 5, 65)(3, 63, 8, 68, 13, 73)(4, 64, 9, 69, 7, 67)(6, 66, 10, 70, 16, 76)(11, 71, 19, 79, 25, 85)(12, 72, 20, 80, 14, 74)(15, 75, 21, 81, 18, 78)(17, 77, 22, 82, 28, 88)(23, 83, 31, 91, 37, 97)(24, 84, 32, 92, 26, 86)(27, 87, 33, 93, 30, 90)(29, 89, 34, 94, 40, 100)(35, 95, 43, 103, 49, 109)(36, 96, 44, 104, 38, 98)(39, 99, 45, 105, 42, 102)(41, 101, 46, 106, 52, 112)(47, 107, 54, 114, 58, 118)(48, 108, 55, 115, 50, 110)(51, 111, 56, 116, 53, 113)(57, 117, 60, 120, 59, 119)(121, 181, 123, 183, 131, 191, 143, 203, 155, 215, 167, 227, 161, 221, 149, 209, 137, 197, 126, 186)(122, 182, 128, 188, 139, 199, 151, 211, 163, 223, 174, 234, 166, 226, 154, 214, 142, 202, 130, 190)(124, 184, 135, 195, 147, 207, 159, 219, 171, 231, 177, 237, 168, 228, 156, 216, 144, 204, 132, 192)(125, 185, 133, 193, 145, 205, 157, 217, 169, 229, 178, 238, 172, 232, 160, 220, 148, 208, 136, 196)(127, 187, 138, 198, 150, 210, 162, 222, 173, 233, 179, 239, 170, 230, 158, 218, 146, 206, 134, 194)(129, 189, 141, 201, 153, 213, 165, 225, 176, 236, 180, 240, 175, 235, 164, 224, 152, 212, 140, 200)
	L = (1, 124)(2, 129)(3, 132)(4, 122)(5, 127)(6, 135)(7, 121)(8, 140)(9, 125)(10, 141)(11, 144)(12, 128)(13, 134)(14, 123)(15, 130)(16, 138)(17, 147)(18, 126)(19, 152)(20, 133)(21, 136)(22, 153)(23, 156)(24, 139)(25, 146)(26, 131)(27, 142)(28, 150)(29, 159)(30, 137)(31, 164)(32, 145)(33, 148)(34, 165)(35, 168)(36, 151)(37, 158)(38, 143)(39, 154)(40, 162)(41, 171)(42, 149)(43, 175)(44, 157)(45, 160)(46, 176)(47, 177)(48, 163)(49, 170)(50, 155)(51, 166)(52, 173)(53, 161)(54, 180)(55, 169)(56, 172)(57, 174)(58, 179)(59, 167)(60, 178)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1370
Graph:: simple bipartite
	v = 26 e = 120 f = 40
	degree seq :: [ 6^20, 20^6 ]

E28.1374 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 10})
Quotient :: dipole
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^3, Y2^-1 * Y1^-1 * Y2 * Y1^-1, (Y3 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y1^-1 * Y2^-1 * Y3 * Y2^-1, R * Y2 * R * Y1^-1 * Y2^-1, (Y2^-2 * Y1 * Y3)^2, Y2^10 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 5, 65)(3, 63, 10, 70, 7, 67)(4, 64, 13, 73, 8, 68)(6, 66, 16, 76, 9, 69)(11, 71, 19, 79, 23, 83)(12, 72, 20, 80, 15, 75)(14, 74, 17, 77, 21, 81)(18, 78, 22, 82, 28, 88)(24, 84, 35, 95, 31, 91)(25, 85, 32, 92, 26, 86)(27, 87, 33, 93, 29, 89)(30, 90, 40, 100, 34, 94)(36, 96, 43, 103, 47, 107)(37, 97, 44, 104, 38, 98)(39, 99, 41, 101, 45, 105)(42, 102, 46, 106, 52, 112)(48, 108, 57, 117, 54, 114)(49, 109, 55, 115, 50, 110)(51, 111, 56, 116, 53, 113)(58, 118, 60, 120, 59, 119)(121, 181, 123, 183, 131, 191, 144, 204, 156, 216, 168, 228, 162, 222, 150, 210, 138, 198, 126, 186)(122, 182, 127, 187, 139, 199, 151, 211, 163, 223, 174, 234, 166, 226, 154, 214, 142, 202, 129, 189)(124, 184, 134, 194, 147, 207, 159, 219, 171, 231, 179, 239, 169, 229, 158, 218, 145, 205, 135, 195)(125, 185, 130, 190, 143, 203, 155, 215, 167, 227, 177, 237, 172, 232, 160, 220, 148, 208, 136, 196)(128, 188, 137, 197, 149, 209, 161, 221, 173, 233, 178, 238, 170, 230, 157, 217, 146, 206, 132, 192)(133, 193, 141, 201, 153, 213, 165, 225, 176, 236, 180, 240, 175, 235, 164, 224, 152, 212, 140, 200)
	L = (1, 124)(2, 128)(3, 132)(4, 121)(5, 133)(6, 137)(7, 140)(8, 122)(9, 141)(10, 135)(11, 145)(12, 123)(13, 125)(14, 136)(15, 130)(16, 134)(17, 126)(18, 147)(19, 146)(20, 127)(21, 129)(22, 149)(23, 152)(24, 157)(25, 131)(26, 139)(27, 138)(28, 153)(29, 142)(30, 161)(31, 164)(32, 143)(33, 148)(34, 165)(35, 158)(36, 169)(37, 144)(38, 155)(39, 160)(40, 159)(41, 150)(42, 171)(43, 170)(44, 151)(45, 154)(46, 173)(47, 175)(48, 178)(49, 156)(50, 163)(51, 162)(52, 176)(53, 166)(54, 180)(55, 167)(56, 172)(57, 179)(58, 168)(59, 177)(60, 174)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1372
Graph:: simple bipartite
	v = 26 e = 120 f = 40
	degree seq :: [ 6^20, 20^6 ]

E28.1375 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 10})
Quotient :: dipole
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^3, (R * Y1)^2, (Y1 * Y3)^2, Y1^-1 * Y2 * Y1^-1 * Y2^-1, (R * Y3)^2, R * Y2 * Y1^-1 * R * Y2^-1, Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y3, Y2^10 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 5, 65)(3, 63, 10, 70, 7, 67)(4, 64, 13, 73, 8, 68)(6, 66, 16, 76, 9, 69)(11, 71, 19, 79, 23, 83)(12, 72, 15, 75, 21, 81)(14, 74, 20, 80, 17, 77)(18, 78, 22, 82, 28, 88)(24, 84, 35, 95, 31, 91)(25, 85, 26, 86, 32, 92)(27, 87, 29, 89, 33, 93)(30, 90, 40, 100, 34, 94)(36, 96, 43, 103, 47, 107)(37, 97, 38, 98, 44, 104)(39, 99, 45, 105, 41, 101)(42, 102, 46, 106, 52, 112)(48, 108, 57, 117, 54, 114)(49, 109, 50, 110, 55, 115)(51, 111, 53, 113, 56, 116)(58, 118, 59, 119, 60, 120)(121, 181, 123, 183, 131, 191, 144, 204, 156, 216, 168, 228, 162, 222, 150, 210, 138, 198, 126, 186)(122, 182, 127, 187, 139, 199, 151, 211, 163, 223, 174, 234, 166, 226, 154, 214, 142, 202, 129, 189)(124, 184, 134, 194, 147, 207, 159, 219, 171, 231, 179, 239, 169, 229, 158, 218, 145, 205, 135, 195)(125, 185, 130, 190, 143, 203, 155, 215, 167, 227, 177, 237, 172, 232, 160, 220, 148, 208, 136, 196)(128, 188, 140, 200, 153, 213, 165, 225, 176, 236, 180, 240, 175, 235, 164, 224, 152, 212, 141, 201)(132, 192, 133, 193, 137, 197, 149, 209, 161, 221, 173, 233, 178, 238, 170, 230, 157, 217, 146, 206)
	L = (1, 124)(2, 128)(3, 132)(4, 121)(5, 133)(6, 137)(7, 135)(8, 122)(9, 134)(10, 141)(11, 145)(12, 123)(13, 125)(14, 129)(15, 127)(16, 140)(17, 126)(18, 147)(19, 152)(20, 136)(21, 130)(22, 153)(23, 146)(24, 157)(25, 131)(26, 143)(27, 138)(28, 149)(29, 148)(30, 161)(31, 158)(32, 139)(33, 142)(34, 159)(35, 164)(36, 169)(37, 144)(38, 151)(39, 154)(40, 165)(41, 150)(42, 171)(43, 175)(44, 155)(45, 160)(46, 176)(47, 170)(48, 178)(49, 156)(50, 167)(51, 162)(52, 173)(53, 172)(54, 179)(55, 163)(56, 166)(57, 180)(58, 168)(59, 174)(60, 177)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1371
Graph:: simple bipartite
	v = 26 e = 120 f = 40
	degree seq :: [ 6^20, 20^6 ]

E28.1376 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 5, 15})
Quotient :: dipole
Aut^+ = C5 x A4 (small group id <60, 9>)
Aut   = (C5 x A4) : C2 (small group id <120, 38>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3^-1, Y2), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^-5 * Y2^-1, Y2 * Y3^-1 * Y1 * Y3 * Y2^-1 * Y1, (Y1 * Y2^-1)^3, Y1 * Y3^2 * Y1 * Y3^-1 * Y1 * Y3^-1, Y3 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 61, 2, 62)(3, 63, 11, 71)(4, 64, 14, 74)(5, 65, 17, 77)(6, 66, 19, 79)(7, 67, 21, 81)(8, 68, 24, 84)(9, 69, 27, 87)(10, 70, 29, 89)(12, 72, 34, 94)(13, 73, 23, 83)(15, 75, 39, 99)(16, 76, 26, 86)(18, 78, 45, 105)(20, 80, 48, 108)(22, 82, 31, 91)(25, 85, 37, 97)(28, 88, 44, 104)(30, 90, 47, 107)(32, 92, 42, 102)(33, 93, 46, 106)(35, 95, 49, 109)(36, 96, 56, 116)(38, 98, 43, 103)(40, 100, 51, 111)(41, 101, 58, 118)(50, 110, 54, 114)(52, 112, 60, 120)(53, 113, 55, 115)(57, 117, 59, 119)(121, 181, 123, 183, 125, 185)(122, 182, 127, 187, 129, 189)(124, 184, 132, 192, 136, 196)(126, 186, 133, 193, 138, 198)(128, 188, 142, 202, 146, 206)(130, 190, 143, 203, 148, 208)(131, 191, 147, 207, 152, 212)(134, 194, 151, 211, 158, 218)(135, 195, 155, 215, 161, 221)(137, 197, 162, 222, 141, 201)(139, 199, 166, 226, 164, 224)(140, 200, 156, 216, 160, 220)(144, 204, 154, 214, 163, 223)(145, 205, 169, 229, 172, 232)(149, 209, 153, 213, 165, 225)(150, 210, 170, 230, 171, 231)(157, 217, 173, 233, 178, 238)(159, 219, 175, 235, 180, 240)(167, 227, 176, 236, 179, 239)(168, 228, 174, 234, 177, 237)
	L = (1, 124)(2, 128)(3, 132)(4, 135)(5, 136)(6, 121)(7, 142)(8, 145)(9, 146)(10, 122)(11, 151)(12, 155)(13, 123)(14, 157)(15, 160)(16, 161)(17, 163)(18, 125)(19, 162)(20, 126)(21, 154)(22, 169)(23, 127)(24, 159)(25, 171)(26, 172)(27, 158)(28, 129)(29, 152)(30, 130)(31, 173)(32, 134)(33, 131)(34, 175)(35, 140)(36, 133)(37, 177)(38, 178)(39, 179)(40, 138)(41, 156)(42, 144)(43, 180)(44, 137)(45, 147)(46, 141)(47, 139)(48, 149)(49, 150)(50, 143)(51, 148)(52, 170)(53, 168)(54, 153)(55, 167)(56, 166)(57, 165)(58, 174)(59, 164)(60, 176)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 10, 30, 10, 30 ), ( 10, 30, 10, 30, 10, 30 ) }
Outer automorphisms :: reflexible
Dual of E28.1379
Graph:: simple bipartite
	v = 50 e = 120 f = 16
	degree seq :: [ 4^30, 6^20 ]

E28.1377 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 5, 15})
Quotient :: dipole
Aut^+ = C5 x A4 (small group id <60, 9>)
Aut   = (C5 x A4) : C2 (small group id <120, 38>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, (R * Y3)^2, (Y3 * Y1)^2, (Y3^-1, Y2), (Y2^-1, Y1^-1), (R * Y2)^2, (R * Y1)^2, Y2^5 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 5, 65)(3, 63, 8, 68, 14, 74)(4, 64, 16, 76, 17, 77)(6, 66, 10, 70, 20, 80)(7, 67, 23, 83, 9, 69)(11, 71, 30, 90, 19, 79)(12, 72, 24, 84, 32, 92)(13, 73, 34, 94, 35, 95)(15, 75, 37, 97, 25, 85)(18, 78, 38, 98, 39, 99)(21, 81, 28, 88, 42, 102)(22, 82, 44, 104, 27, 87)(26, 86, 47, 107, 36, 96)(29, 89, 50, 110, 41, 101)(31, 91, 51, 111, 52, 112)(33, 93, 54, 114, 45, 105)(40, 100, 55, 115, 56, 116)(43, 103, 58, 118, 48, 108)(46, 106, 59, 119, 53, 113)(49, 109, 60, 120, 57, 117)(121, 181, 123, 183, 132, 192, 141, 201, 126, 186)(122, 182, 128, 188, 144, 204, 148, 208, 130, 190)(124, 184, 133, 193, 151, 211, 160, 220, 138, 198)(125, 185, 134, 194, 152, 212, 162, 222, 140, 200)(127, 187, 135, 195, 153, 213, 163, 223, 142, 202)(129, 189, 145, 205, 165, 225, 168, 228, 147, 207)(131, 191, 146, 206, 166, 226, 169, 229, 149, 209)(136, 196, 154, 214, 171, 231, 175, 235, 158, 218)(137, 197, 155, 215, 172, 232, 176, 236, 159, 219)(139, 199, 156, 216, 173, 233, 177, 237, 161, 221)(143, 203, 157, 217, 174, 234, 178, 238, 164, 224)(150, 210, 167, 227, 179, 239, 180, 240, 170, 230)
	L = (1, 124)(2, 129)(3, 133)(4, 127)(5, 139)(6, 138)(7, 121)(8, 145)(9, 131)(10, 147)(11, 122)(12, 151)(13, 135)(14, 156)(15, 123)(16, 125)(17, 150)(18, 142)(19, 136)(20, 161)(21, 160)(22, 126)(23, 137)(24, 165)(25, 146)(26, 128)(27, 149)(28, 168)(29, 130)(30, 143)(31, 153)(32, 173)(33, 132)(34, 134)(35, 167)(36, 154)(37, 155)(38, 140)(39, 170)(40, 163)(41, 158)(42, 177)(43, 141)(44, 159)(45, 166)(46, 144)(47, 157)(48, 169)(49, 148)(50, 164)(51, 152)(52, 179)(53, 171)(54, 172)(55, 162)(56, 180)(57, 175)(58, 176)(59, 174)(60, 178)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 30, 4, 30, 4, 30 ), ( 4, 30, 4, 30, 4, 30, 4, 30, 4, 30 ) }
Outer automorphisms :: reflexible
Dual of E28.1378
Graph:: simple bipartite
	v = 32 e = 120 f = 34
	degree seq :: [ 6^20, 10^12 ]

E28.1378 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 5, 15})
Quotient :: dipole
Aut^+ = C5 x A4 (small group id <60, 9>)
Aut   = (C5 x A4) : C2 (small group id <120, 38>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^3, (R * Y3^-1)^2, (Y3, Y1^-1), (R * Y1)^2, Y3 * Y1^-5, Y1 * Y3 * Y2 * Y3^-1 * Y1^-1 * Y2, Y1 * Y2 * Y1^-1 * Y3^-1 * Y2 * Y3, (Y3 * Y2)^3, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 7, 67, 21, 81, 16, 76, 4, 64, 9, 69, 23, 83, 47, 107, 19, 79, 6, 66, 10, 70, 24, 84, 18, 78, 5, 65)(3, 63, 11, 71, 31, 91, 49, 109, 35, 95, 12, 72, 29, 89, 57, 117, 58, 118, 38, 98, 14, 74, 33, 93, 54, 114, 37, 97, 13, 73)(8, 68, 25, 85, 55, 115, 43, 103, 34, 94, 26, 86, 53, 113, 60, 120, 48, 108, 20, 80, 28, 88, 56, 116, 46, 106, 36, 96, 27, 87)(15, 75, 40, 100, 51, 111, 59, 119, 45, 105, 39, 99, 30, 90, 52, 112, 44, 104, 17, 77, 42, 102, 32, 92, 22, 82, 50, 110, 41, 101)(121, 181, 123, 183)(122, 182, 128, 188)(124, 184, 135, 195)(125, 185, 137, 197)(126, 186, 140, 200)(127, 187, 142, 202)(129, 189, 149, 209)(130, 190, 150, 210)(131, 191, 152, 212)(132, 192, 154, 214)(133, 193, 156, 216)(134, 194, 159, 219)(136, 196, 163, 223)(138, 198, 166, 226)(139, 199, 158, 218)(141, 201, 169, 229)(143, 203, 173, 233)(144, 204, 174, 234)(145, 205, 151, 211)(146, 206, 160, 220)(147, 207, 162, 222)(148, 208, 153, 213)(155, 215, 161, 221)(157, 217, 164, 224)(165, 225, 168, 228)(167, 227, 179, 239)(170, 230, 175, 235)(171, 231, 177, 237)(172, 232, 176, 236)(178, 238, 180, 240)
	L = (1, 124)(2, 129)(3, 132)(4, 126)(5, 136)(6, 121)(7, 143)(8, 146)(9, 130)(10, 122)(11, 149)(12, 134)(13, 155)(14, 123)(15, 159)(16, 139)(17, 161)(18, 141)(19, 125)(20, 147)(21, 167)(22, 171)(23, 144)(24, 127)(25, 173)(26, 148)(27, 154)(28, 128)(29, 153)(30, 152)(31, 177)(32, 160)(33, 131)(34, 140)(35, 158)(36, 163)(37, 169)(38, 133)(39, 162)(40, 150)(41, 165)(42, 135)(43, 168)(44, 170)(45, 137)(46, 175)(47, 138)(48, 156)(49, 178)(50, 179)(51, 172)(52, 142)(53, 176)(54, 151)(55, 180)(56, 145)(57, 174)(58, 157)(59, 164)(60, 166)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 6, 10, 6, 10 ), ( 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10 ) }
Outer automorphisms :: reflexible
Dual of E28.1377
Graph:: bipartite
	v = 34 e = 120 f = 32
	degree seq :: [ 4^30, 30^4 ]

E28.1379 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 5, 15})
Quotient :: dipole
Aut^+ = C5 x A4 (small group id <60, 9>)
Aut   = (C5 x A4) : C2 (small group id <120, 38>)
|r| :: 2
Presentation :: [ R^2, (Y3 * Y2^-1)^2, (R * Y1)^2, (Y1^-1, Y2), (R * Y3)^2, (Y3, Y1^-1), Y1^2 * Y2^-3, Y1 * Y3^-1 * Y1 * Y3^-2, Y1^5, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1, Y2 * Y1 * Y2 * Y1^2 * Y2, Y1^-1 * Y2^-1 * Y3 * Y2^2 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 61, 2, 62, 8, 68, 20, 80, 5, 65)(3, 63, 9, 69, 28, 88, 24, 84, 15, 75)(4, 64, 10, 70, 29, 89, 27, 87, 19, 79)(6, 66, 11, 71, 13, 73, 30, 90, 21, 81)(7, 67, 12, 72, 18, 78, 34, 94, 22, 82)(14, 74, 31, 91, 54, 114, 45, 105, 42, 102)(16, 76, 32, 92, 41, 101, 51, 111, 43, 103)(17, 77, 33, 93, 55, 115, 44, 104, 46, 106)(23, 83, 35, 95, 38, 98, 53, 113, 48, 108)(25, 85, 36, 96, 39, 99, 56, 116, 49, 109)(26, 86, 37, 97, 47, 107, 57, 117, 50, 110)(40, 100, 52, 112, 58, 118, 59, 119, 60, 120)(121, 181, 123, 183, 133, 193, 128, 188, 148, 208, 141, 201, 125, 185, 135, 195, 131, 191, 122, 182, 129, 189, 150, 210, 140, 200, 144, 204, 126, 186)(124, 184, 137, 197, 161, 221, 149, 209, 175, 235, 163, 223, 139, 199, 166, 226, 152, 212, 130, 190, 153, 213, 171, 231, 147, 207, 164, 224, 136, 196)(127, 187, 143, 203, 167, 227, 138, 198, 158, 218, 170, 230, 142, 202, 168, 228, 157, 217, 132, 192, 155, 215, 177, 237, 154, 214, 173, 233, 146, 206)(134, 194, 160, 220, 169, 229, 174, 234, 178, 238, 156, 216, 162, 222, 180, 240, 176, 236, 151, 211, 172, 232, 145, 205, 165, 225, 179, 239, 159, 219)
	L = (1, 124)(2, 130)(3, 134)(4, 138)(5, 139)(6, 143)(7, 121)(8, 149)(9, 151)(10, 154)(11, 155)(12, 122)(13, 158)(14, 161)(15, 162)(16, 123)(17, 160)(18, 128)(19, 132)(20, 147)(21, 168)(22, 125)(23, 159)(24, 165)(25, 126)(26, 164)(27, 127)(28, 174)(29, 142)(30, 173)(31, 171)(32, 129)(33, 172)(34, 140)(35, 176)(36, 131)(37, 166)(38, 169)(39, 133)(40, 170)(41, 148)(42, 152)(43, 135)(44, 179)(45, 136)(46, 180)(47, 137)(48, 156)(49, 141)(50, 175)(51, 144)(52, 146)(53, 145)(54, 163)(55, 178)(56, 150)(57, 153)(58, 157)(59, 167)(60, 177)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.1376
Graph:: bipartite
	v = 16 e = 120 f = 50
	degree seq :: [ 10^12, 30^4 ]

E28.1380 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 5, 15})
Quotient :: dipole
Aut^+ = C5 x A4 (small group id <60, 9>)
Aut   = (C5 x A4) : C2 (small group id <120, 38>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (Y3, Y2^-1), (R * Y3)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2)^2, Y3^3 * Y2^2, Y2^5, (Y2^-1 * Y3)^3, Y3 * Y1 * Y3^-2 * Y1 * Y3 * Y1, Y2^2 * Y1 * Y3^-1 * Y2 * Y3^-2 * Y1 ]
Map:: non-degenerate
	R = (1, 61, 2, 62)(3, 63, 7, 67)(4, 64, 14, 74)(5, 65, 9, 69)(6, 66, 19, 79)(8, 68, 24, 84)(10, 70, 29, 89)(11, 71, 21, 81)(12, 72, 32, 92)(13, 73, 33, 93)(15, 75, 38, 98)(16, 76, 36, 96)(17, 77, 27, 87)(18, 78, 39, 99)(20, 80, 42, 102)(22, 82, 44, 104)(23, 83, 45, 105)(25, 85, 35, 95)(26, 86, 47, 107)(28, 88, 48, 108)(30, 90, 41, 101)(31, 91, 49, 109)(34, 94, 53, 113)(37, 97, 40, 100)(43, 103, 55, 115)(46, 106, 52, 112)(50, 110, 51, 111)(54, 114, 57, 117)(56, 116, 58, 118)(59, 119, 60, 120)(121, 181, 123, 183, 131, 191, 137, 197, 125, 185)(122, 182, 127, 187, 141, 201, 147, 207, 129, 189)(124, 184, 132, 192, 140, 200, 154, 214, 136, 196)(126, 186, 133, 193, 151, 211, 135, 195, 138, 198)(128, 188, 142, 202, 150, 210, 166, 226, 146, 206)(130, 190, 143, 203, 163, 223, 145, 205, 148, 208)(134, 194, 152, 212, 162, 222, 173, 233, 156, 216)(139, 199, 153, 213, 169, 229, 158, 218, 159, 219)(144, 204, 164, 224, 161, 221, 172, 232, 167, 227)(149, 209, 165, 225, 175, 235, 155, 215, 168, 228)(157, 217, 170, 230, 180, 240, 174, 234, 176, 236)(160, 220, 171, 231, 179, 239, 177, 237, 178, 238)
	L = (1, 124)(2, 128)(3, 132)(4, 135)(5, 136)(6, 121)(7, 142)(8, 145)(9, 146)(10, 122)(11, 140)(12, 138)(13, 123)(14, 155)(15, 137)(16, 151)(17, 154)(18, 125)(19, 160)(20, 126)(21, 150)(22, 148)(23, 127)(24, 158)(25, 147)(26, 163)(27, 166)(28, 129)(29, 157)(30, 130)(31, 131)(32, 168)(33, 171)(34, 133)(35, 174)(36, 175)(37, 134)(38, 177)(39, 178)(40, 144)(41, 139)(42, 149)(43, 141)(44, 159)(45, 170)(46, 143)(47, 169)(48, 176)(49, 179)(50, 152)(51, 164)(52, 153)(53, 165)(54, 173)(55, 180)(56, 156)(57, 172)(58, 167)(59, 161)(60, 162)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 6, 30, 6, 30 ), ( 6, 30, 6, 30, 6, 30, 6, 30, 6, 30 ) }
Outer automorphisms :: reflexible
Dual of E28.1381
Graph:: simple bipartite
	v = 42 e = 120 f = 24
	degree seq :: [ 4^30, 10^12 ]

E28.1381 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 5, 15})
Quotient :: dipole
Aut^+ = C5 x A4 (small group id <60, 9>)
Aut   = (C5 x A4) : C2 (small group id <120, 38>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (Y1 * Y3)^2, (R * Y1)^2, (Y3, Y2^-1), (R * Y3)^2, (R * Y2)^2, Y2 * Y1 * Y3^-1 * Y2^-1 * Y1, Y1 * Y2^-1 * Y3^-1 * Y1 * Y2, Y3 * Y2^5, Y1 * Y3 * Y2^-1 * Y1^-1 * Y2 * Y3^-1, Y2 * Y1^-1 * Y2^2 * Y1 * Y2^2 * Y1^-1, (Y2^-1 * Y3)^5 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 5, 65)(3, 63, 12, 72, 15, 75)(4, 64, 17, 77, 18, 78)(6, 66, 23, 83, 24, 84)(7, 67, 27, 87, 9, 69)(8, 68, 14, 74, 30, 90)(10, 70, 33, 93, 34, 94)(11, 71, 36, 96, 21, 81)(13, 73, 39, 99, 42, 102)(16, 76, 31, 91, 38, 98)(19, 79, 32, 92, 46, 106)(20, 80, 29, 89, 45, 105)(22, 82, 49, 109, 26, 86)(25, 85, 53, 113, 54, 114)(28, 88, 44, 104, 56, 116)(35, 95, 47, 107, 60, 120)(37, 97, 41, 101, 55, 115)(40, 100, 52, 112, 59, 119)(43, 103, 48, 108, 57, 117)(50, 110, 58, 118, 51, 111)(121, 181, 123, 183, 133, 193, 160, 220, 146, 206, 127, 187, 136, 196, 163, 223, 167, 227, 139, 199, 124, 184, 134, 194, 161, 221, 145, 205, 126, 186)(122, 182, 128, 188, 148, 208, 172, 232, 144, 204, 131, 191, 151, 211, 162, 222, 178, 238, 152, 212, 129, 189, 149, 209, 175, 235, 155, 215, 130, 190)(125, 185, 140, 200, 168, 228, 179, 239, 154, 214, 137, 197, 158, 218, 176, 236, 173, 233, 166, 226, 141, 201, 132, 192, 157, 217, 170, 230, 142, 202)(135, 195, 164, 224, 180, 240, 169, 229, 156, 216, 150, 210, 177, 237, 171, 231, 143, 203, 138, 198, 165, 225, 159, 219, 174, 234, 153, 213, 147, 207)
	L = (1, 124)(2, 129)(3, 134)(4, 127)(5, 141)(6, 139)(7, 121)(8, 149)(9, 131)(10, 152)(11, 122)(12, 158)(13, 161)(14, 136)(15, 165)(16, 123)(17, 125)(18, 156)(19, 146)(20, 132)(21, 137)(22, 166)(23, 169)(24, 130)(25, 167)(26, 126)(27, 138)(28, 175)(29, 151)(30, 135)(31, 128)(32, 144)(33, 143)(34, 142)(35, 178)(36, 147)(37, 176)(38, 140)(39, 177)(40, 145)(41, 163)(42, 148)(43, 133)(44, 159)(45, 150)(46, 154)(47, 160)(48, 157)(49, 153)(50, 173)(51, 180)(52, 155)(53, 179)(54, 171)(55, 162)(56, 168)(57, 164)(58, 172)(59, 170)(60, 174)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 10, 4, 10, 4, 10 ), ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E28.1380
Graph:: bipartite
	v = 24 e = 120 f = 42
	degree seq :: [ 6^20, 30^4 ]

E28.1382 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 15, 30})
Quotient :: halfedge^2
Aut^+ = C6 x D10 (small group id <60, 10>)
Aut   = (C6 x D10) : C2 (small group id <120, 12>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y2)^2, (R * Y1)^2, R * Y3 * R * Y2, Y3 * Y1 * Y2 * Y3 * Y1^-1 * Y2, Y1^2 * Y3 * Y1^-1 * Y2 * Y1^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 62, 2, 66, 6, 77, 17, 87, 27, 106, 46, 118, 58, 116, 56, 109, 49, 119, 59, 113, 53, 89, 29, 107, 47, 112, 52, 88, 28, 70, 10, 81, 21, 102, 42, 111, 51, 86, 26, 105, 45, 117, 57, 115, 55, 110, 50, 120, 60, 114, 54, 90, 30, 100, 40, 76, 16, 65, 5, 61)(3, 69, 9, 85, 25, 84, 24, 68, 8, 83, 23, 108, 48, 99, 39, 78, 18, 101, 41, 95, 35, 74, 14, 94, 34, 93, 33, 73, 13, 64, 4, 72, 12, 92, 32, 82, 22, 67, 7, 80, 20, 104, 44, 98, 38, 79, 19, 103, 43, 97, 37, 75, 15, 96, 36, 91, 31, 71, 11, 63)
	L = (1, 3)(2, 7)(4, 10)(5, 14)(6, 18)(8, 21)(9, 26)(11, 29)(12, 27)(13, 30)(15, 28)(16, 38)(17, 36)(19, 42)(20, 45)(22, 47)(23, 46)(24, 40)(25, 49)(31, 55)(32, 50)(33, 56)(34, 51)(35, 53)(37, 54)(39, 52)(41, 57)(43, 58)(44, 59)(48, 60)(61, 64)(62, 68)(63, 70)(65, 75)(66, 79)(67, 81)(69, 87)(71, 90)(72, 86)(73, 89)(74, 88)(76, 99)(77, 94)(78, 102)(80, 106)(82, 100)(83, 105)(84, 107)(85, 110)(91, 116)(92, 109)(93, 115)(95, 114)(96, 111)(97, 113)(98, 112)(101, 118)(103, 117)(104, 120)(108, 119)
	local type(s) :: { ( 30^60 ) }
Outer automorphisms :: reflexible
Dual of E28.1384
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 60 f = 4
	degree seq :: [ 60^2 ]

E28.1383 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 15, 30})
Quotient :: halfedge^2
Aut^+ = C6 x D10 (small group id <60, 10>)
Aut   = (C6 x D10) : C2 (small group id <120, 12>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y1^2 * Y2 * Y1 * Y3, Y1^-1 * Y3 * Y2 * Y3 * Y1 * Y2, Y2 * Y3 * Y1 * Y3 * Y2 * Y1^-1, Y1^6 * Y3 * Y1^-3 * Y2, Y2 * Y1^4 * Y3 * Y2 * Y1^3 * Y3 * Y2 * Y1^3 * Y3 * Y2 * Y1^4 * Y3 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 62, 2, 66, 6, 78, 18, 94, 34, 108, 48, 115, 55, 103, 43, 87, 27, 70, 10, 80, 20, 88, 28, 98, 38, 104, 44, 113, 53, 120, 60, 116, 56, 101, 41, 102, 42, 85, 25, 89, 29, 73, 13, 82, 22, 96, 36, 110, 50, 119, 59, 107, 47, 93, 33, 77, 17, 65, 5, 61)(3, 69, 9, 84, 24, 100, 40, 114, 54, 111, 51, 95, 35, 90, 30, 74, 14, 64, 4, 72, 12, 75, 15, 91, 31, 105, 45, 117, 57, 112, 52, 97, 37, 79, 19, 81, 21, 67, 7, 76, 16, 86, 26, 92, 32, 106, 46, 118, 58, 109, 49, 99, 39, 83, 23, 68, 8, 71, 11, 63)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 14)(8, 22)(9, 25)(10, 26)(11, 28)(12, 20)(16, 29)(17, 32)(18, 23)(19, 36)(21, 38)(24, 27)(30, 44)(31, 42)(33, 40)(34, 37)(35, 50)(39, 53)(41, 46)(43, 45)(47, 57)(48, 51)(49, 59)(52, 60)(54, 56)(55, 58)(61, 64)(62, 68)(63, 70)(65, 76)(66, 79)(67, 80)(69, 77)(71, 89)(72, 85)(73, 81)(74, 88)(75, 87)(78, 95)(82, 90)(83, 98)(84, 101)(86, 102)(91, 93)(92, 103)(94, 109)(96, 99)(97, 104)(100, 115)(105, 116)(106, 107)(108, 117)(110, 112)(111, 113)(114, 119)(118, 120)
	local type(s) :: { ( 30^60 ) }
Outer automorphisms :: reflexible
Dual of E28.1385
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 60 f = 4
	degree seq :: [ 60^2 ]

E28.1384 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 15, 30})
Quotient :: halfedge^2
Aut^+ = C6 x D10 (small group id <60, 10>)
Aut   = (C6 x D10) : C2 (small group id <120, 12>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y2 * Y3)^2, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y1^-1 * Y2 * Y3 * Y1 * Y2, Y1^2 * Y3 * Y1^-1 * Y3 * Y1^2, (Y1^-3 * Y2)^2 ]
Map:: non-degenerate
	R = (1, 62, 2, 66, 6, 77, 17, 86, 26, 105, 45, 117, 57, 115, 55, 109, 49, 119, 59, 113, 53, 89, 29, 100, 40, 76, 16, 65, 5, 61)(3, 69, 9, 85, 25, 82, 22, 67, 7, 80, 20, 104, 44, 98, 38, 78, 18, 101, 41, 95, 35, 74, 14, 94, 34, 91, 31, 71, 11, 63)(4, 72, 12, 92, 32, 84, 24, 68, 8, 83, 23, 108, 48, 99, 39, 79, 19, 103, 43, 97, 37, 75, 15, 96, 36, 93, 33, 73, 13, 64)(10, 81, 21, 102, 42, 111, 51, 87, 27, 106, 46, 118, 58, 116, 56, 110, 50, 120, 60, 114, 54, 90, 30, 107, 47, 112, 52, 88, 28, 70)
	L = (1, 3)(2, 7)(4, 10)(5, 14)(6, 18)(8, 21)(9, 26)(11, 29)(12, 27)(13, 30)(15, 28)(16, 38)(17, 34)(19, 42)(20, 45)(22, 40)(23, 46)(24, 47)(25, 49)(31, 55)(32, 50)(33, 56)(35, 53)(36, 51)(37, 54)(39, 52)(41, 57)(43, 58)(44, 59)(48, 60)(61, 64)(62, 68)(63, 70)(65, 75)(66, 79)(67, 81)(69, 87)(71, 90)(72, 86)(73, 89)(74, 88)(76, 99)(77, 96)(78, 102)(80, 106)(82, 107)(83, 105)(84, 100)(85, 110)(91, 116)(92, 109)(93, 115)(94, 111)(95, 114)(97, 113)(98, 112)(101, 118)(103, 117)(104, 120)(108, 119)
	local type(s) :: { ( 60^30 ) }
Outer automorphisms :: reflexible
Dual of E28.1382
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 60 f = 2
	degree seq :: [ 30^4 ]

E28.1385 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 15, 30})
Quotient :: halfedge^2
Aut^+ = C6 x D10 (small group id <60, 10>)
Aut   = (C6 x D10) : C2 (small group id <120, 12>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y1 * Y3 * Y2 * Y1^-1 * Y2 * Y3, Y1 * Y2 * Y1^-1 * Y3 * Y2 * Y3, Y3 * Y2 * Y1^-1 * Y3 * Y1 * Y2, Y1 * Y3 * Y2 * Y3 * Y2 * Y1^2, Y2 * Y1^-1 * Y2 * Y1^-2 * Y2 * Y1^-2 * Y2 * Y1^-1, (Y1^-1 * Y2 * Y3)^30 ]
Map:: non-degenerate
	R = (1, 62, 2, 66, 6, 78, 18, 88, 28, 108, 48, 118, 58, 116, 56, 112, 52, 120, 60, 114, 54, 92, 32, 103, 43, 77, 17, 65, 5, 61)(3, 69, 9, 87, 27, 83, 23, 67, 7, 81, 21, 107, 47, 101, 41, 79, 19, 104, 44, 99, 39, 75, 15, 98, 38, 94, 34, 71, 11, 63)(4, 72, 12, 95, 35, 86, 26, 68, 8, 84, 24, 110, 50, 102, 42, 80, 20, 106, 46, 100, 40, 76, 16, 90, 30, 97, 37, 74, 14, 64)(10, 82, 22, 105, 45, 113, 53, 89, 29, 109, 49, 119, 59, 117, 57, 96, 36, 111, 51, 115, 55, 93, 33, 73, 13, 85, 25, 91, 31, 70)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 28)(10, 30)(11, 32)(12, 22)(14, 36)(16, 33)(17, 41)(18, 38)(20, 31)(21, 48)(23, 43)(24, 45)(26, 51)(27, 52)(29, 37)(34, 56)(35, 49)(39, 54)(40, 57)(42, 55)(44, 58)(46, 53)(47, 60)(50, 59)(61, 64)(62, 68)(63, 70)(65, 76)(66, 80)(67, 82)(69, 89)(71, 93)(72, 88)(73, 83)(74, 92)(75, 91)(77, 102)(78, 90)(79, 105)(81, 109)(84, 108)(85, 101)(86, 103)(87, 96)(94, 117)(95, 112)(97, 116)(98, 113)(99, 115)(100, 114)(104, 119)(106, 118)(107, 111)(110, 120)
	local type(s) :: { ( 60^30 ) }
Outer automorphisms :: reflexible
Dual of E28.1383
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 60 f = 2
	degree seq :: [ 30^4 ]

E28.1386 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 15, 30})
Quotient :: edge^2
Aut^+ = C6 x D10 (small group id <60, 10>)
Aut   = (C6 x D10) : C2 (small group id <120, 12>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, (R * Y3)^2, R * Y2 * R * Y1, Y2 * Y3^-1 * Y1 * Y2 * Y3 * Y1, Y3^2 * Y2 * Y3^-1 * Y2 * Y3^2, (Y3^-1 * Y1 * Y3^-2)^2, Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-2 ]
Map::
	R = (1, 61, 4, 64, 13, 73, 33, 93, 19, 79, 43, 103, 57, 117, 51, 111, 46, 106, 59, 119, 48, 108, 22, 82, 40, 100, 16, 76, 5, 65)(2, 62, 7, 67, 21, 81, 28, 88, 11, 71, 27, 87, 53, 113, 38, 98, 31, 91, 55, 115, 35, 95, 14, 74, 34, 94, 24, 84, 8, 68)(3, 63, 9, 69, 25, 85, 30, 90, 12, 72, 29, 89, 54, 114, 39, 99, 32, 92, 56, 116, 37, 97, 15, 75, 36, 96, 26, 86, 10, 70)(6, 66, 17, 77, 41, 101, 45, 105, 20, 80, 44, 104, 58, 118, 52, 112, 47, 107, 60, 120, 50, 110, 23, 83, 49, 109, 42, 102, 18, 78)(121, 122)(123, 126)(124, 131)(125, 134)(127, 139)(128, 142)(129, 140)(130, 143)(132, 137)(133, 151)(135, 138)(136, 158)(141, 166)(144, 171)(145, 167)(146, 172)(147, 163)(148, 160)(149, 164)(150, 169)(152, 161)(153, 154)(155, 168)(156, 165)(157, 170)(159, 162)(173, 179)(174, 180)(175, 177)(176, 178)(181, 183)(182, 186)(184, 192)(185, 195)(187, 200)(188, 203)(189, 199)(190, 202)(191, 197)(193, 212)(194, 198)(196, 219)(201, 227)(204, 232)(205, 226)(206, 231)(207, 224)(208, 229)(209, 223)(210, 220)(211, 221)(213, 216)(214, 225)(215, 230)(217, 228)(218, 222)(233, 240)(234, 239)(235, 238)(236, 237)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 120, 120 ), ( 120^30 ) }
Outer automorphisms :: reflexible
Dual of E28.1392
Graph:: simple bipartite
	v = 64 e = 120 f = 2
	degree seq :: [ 2^60, 30^4 ]

E28.1387 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 15, 30})
Quotient :: edge^2
Aut^+ = C6 x D10 (small group id <60, 10>)
Aut   = (C6 x D10) : C2 (small group id <120, 12>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y1 * Y3 * Y1 * Y2 * Y3^-1, Y2 * Y3^-1 * Y1 * Y3 * Y2 * Y1, Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1, Y2 * Y1 * Y3^-3 * Y2 * Y1, (Y1 * Y3^-1 * Y2)^30 ]
Map::
	R = (1, 61, 4, 64, 14, 74, 37, 97, 21, 81, 45, 105, 58, 118, 52, 112, 47, 107, 59, 119, 49, 109, 24, 84, 43, 103, 17, 77, 5, 65)(2, 62, 7, 67, 23, 83, 33, 93, 12, 72, 32, 92, 54, 114, 41, 101, 35, 95, 56, 116, 38, 98, 15, 75, 27, 87, 26, 86, 8, 68)(3, 63, 10, 70, 30, 90, 18, 78, 13, 73, 34, 94, 55, 115, 42, 102, 36, 96, 57, 117, 40, 100, 16, 76, 39, 99, 31, 91, 11, 71)(6, 66, 19, 79, 28, 88, 9, 69, 22, 82, 46, 106, 53, 113, 29, 89, 48, 108, 60, 120, 51, 111, 25, 85, 50, 110, 44, 104, 20, 80)(121, 122)(123, 129)(124, 132)(125, 135)(126, 138)(127, 141)(128, 144)(130, 149)(131, 140)(133, 142)(134, 155)(136, 148)(137, 161)(139, 162)(143, 167)(145, 150)(146, 172)(147, 157)(151, 171)(152, 165)(153, 163)(154, 168)(156, 166)(158, 169)(159, 173)(160, 164)(170, 175)(174, 179)(176, 178)(177, 180)(181, 183)(182, 186)(184, 193)(185, 196)(187, 202)(188, 205)(189, 207)(190, 201)(191, 204)(192, 199)(194, 216)(195, 200)(197, 222)(198, 223)(203, 228)(206, 209)(208, 215)(210, 227)(211, 232)(212, 226)(213, 230)(214, 225)(217, 219)(218, 231)(220, 229)(221, 224)(233, 236)(234, 240)(235, 239)(237, 238)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 120, 120 ), ( 120^30 ) }
Outer automorphisms :: reflexible
Dual of E28.1393
Graph:: simple bipartite
	v = 64 e = 120 f = 2
	degree seq :: [ 2^60, 30^4 ]

E28.1388 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 15, 30})
Quotient :: edge^2
Aut^+ = C6 x D10 (small group id <60, 10>)
Aut   = (C6 x D10) : C2 (small group id <120, 12>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, (R * Y3)^2, R * Y2 * R * Y1, Y2 * Y3^-1 * Y2 * Y1 * Y3 * Y1, Y2 * Y3^4 * Y1 * Y3^-1, Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3 * Y1 ]
Map::
	R = (1, 61, 4, 64, 13, 73, 33, 93, 20, 80, 45, 105, 58, 118, 52, 112, 46, 106, 59, 119, 49, 109, 22, 82, 48, 108, 42, 102, 18, 78, 6, 66, 17, 77, 41, 101, 44, 104, 19, 79, 43, 103, 57, 117, 51, 111, 47, 107, 60, 120, 50, 110, 23, 83, 40, 100, 16, 76, 5, 65)(2, 62, 7, 67, 21, 81, 30, 90, 12, 72, 29, 89, 54, 114, 39, 99, 31, 91, 55, 115, 35, 95, 14, 74, 34, 94, 26, 86, 10, 70, 3, 63, 9, 69, 25, 85, 28, 88, 11, 71, 27, 87, 53, 113, 38, 98, 32, 92, 56, 116, 37, 97, 15, 75, 36, 96, 24, 84, 8, 68)(121, 122)(123, 126)(124, 131)(125, 134)(127, 139)(128, 142)(129, 140)(130, 143)(132, 137)(133, 151)(135, 138)(136, 158)(141, 166)(144, 171)(145, 167)(146, 172)(147, 163)(148, 168)(149, 165)(150, 160)(152, 161)(153, 156)(154, 164)(155, 169)(157, 170)(159, 162)(173, 179)(174, 180)(175, 177)(176, 178)(181, 183)(182, 186)(184, 192)(185, 195)(187, 200)(188, 203)(189, 199)(190, 202)(191, 197)(193, 212)(194, 198)(196, 219)(201, 227)(204, 232)(205, 226)(206, 231)(207, 225)(208, 220)(209, 223)(210, 228)(211, 221)(213, 214)(215, 230)(216, 224)(217, 229)(218, 222)(233, 240)(234, 239)(235, 238)(236, 237)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 60, 60 ), ( 60^60 ) }
Outer automorphisms :: reflexible
Dual of E28.1390
Graph:: simple bipartite
	v = 62 e = 120 f = 4
	degree seq :: [ 2^60, 60^2 ]

E28.1389 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 15, 30})
Quotient :: edge^2
Aut^+ = C6 x D10 (small group id <60, 10>)
Aut   = (C6 x D10) : C2 (small group id <120, 12>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y3 * Y1 * Y3^2, Y1 * Y2 * Y3 * Y2 * Y1 * Y3^-1, Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y3, Y3^9 * Y1 * Y2 ]
Map::
	R = (1, 61, 4, 64, 14, 74, 30, 90, 44, 104, 56, 116, 51, 111, 39, 99, 26, 86, 9, 69, 22, 82, 23, 83, 34, 94, 37, 97, 49, 109, 60, 120, 52, 112, 40, 100, 36, 96, 21, 81, 20, 80, 6, 66, 19, 79, 35, 95, 48, 108, 59, 119, 47, 107, 33, 93, 17, 77, 5, 65)(2, 62, 7, 67, 16, 76, 31, 91, 45, 105, 57, 117, 55, 115, 43, 103, 29, 89, 18, 78, 13, 73, 15, 75, 25, 85, 32, 92, 46, 106, 58, 118, 54, 114, 42, 102, 28, 88, 12, 72, 11, 71, 3, 63, 10, 70, 27, 87, 41, 101, 53, 113, 50, 110, 38, 98, 24, 84, 8, 68)(121, 122)(123, 129)(124, 132)(125, 135)(126, 138)(127, 141)(128, 143)(130, 137)(131, 140)(133, 142)(134, 149)(136, 146)(139, 144)(145, 156)(147, 160)(148, 154)(150, 158)(151, 153)(152, 159)(155, 162)(157, 163)(161, 171)(164, 174)(165, 172)(166, 167)(168, 175)(169, 170)(173, 179)(176, 177)(178, 180)(181, 183)(182, 186)(184, 193)(185, 196)(187, 202)(188, 194)(189, 205)(190, 201)(191, 203)(192, 199)(195, 200)(197, 212)(198, 214)(204, 217)(206, 207)(208, 210)(209, 215)(211, 216)(213, 221)(218, 228)(219, 225)(220, 226)(222, 229)(223, 224)(227, 237)(230, 236)(231, 238)(232, 233)(234, 239)(235, 240)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 60, 60 ), ( 60^60 ) }
Outer automorphisms :: reflexible
Dual of E28.1391
Graph:: simple bipartite
	v = 62 e = 120 f = 4
	degree seq :: [ 2^60, 60^2 ]

E28.1390 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 15, 30})
Quotient :: loop^2
Aut^+ = C6 x D10 (small group id <60, 10>)
Aut   = (C6 x D10) : C2 (small group id <120, 12>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, (R * Y3)^2, R * Y2 * R * Y1, Y2 * Y3^-1 * Y1 * Y2 * Y3 * Y1, Y3^2 * Y2 * Y3^-1 * Y2 * Y3^2, (Y3^-1 * Y1 * Y3^-2)^2, Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-2 ]
Map::
	R = (1, 61, 121, 181, 4, 64, 124, 184, 13, 73, 133, 193, 33, 93, 153, 213, 19, 79, 139, 199, 43, 103, 163, 223, 57, 117, 177, 237, 51, 111, 171, 231, 46, 106, 166, 226, 59, 119, 179, 239, 48, 108, 168, 228, 22, 82, 142, 202, 40, 100, 160, 220, 16, 76, 136, 196, 5, 65, 125, 185)(2, 62, 122, 182, 7, 67, 127, 187, 21, 81, 141, 201, 28, 88, 148, 208, 11, 71, 131, 191, 27, 87, 147, 207, 53, 113, 173, 233, 38, 98, 158, 218, 31, 91, 151, 211, 55, 115, 175, 235, 35, 95, 155, 215, 14, 74, 134, 194, 34, 94, 154, 214, 24, 84, 144, 204, 8, 68, 128, 188)(3, 63, 123, 183, 9, 69, 129, 189, 25, 85, 145, 205, 30, 90, 150, 210, 12, 72, 132, 192, 29, 89, 149, 209, 54, 114, 174, 234, 39, 99, 159, 219, 32, 92, 152, 212, 56, 116, 176, 236, 37, 97, 157, 217, 15, 75, 135, 195, 36, 96, 156, 216, 26, 86, 146, 206, 10, 70, 130, 190)(6, 66, 126, 186, 17, 77, 137, 197, 41, 101, 161, 221, 45, 105, 165, 225, 20, 80, 140, 200, 44, 104, 164, 224, 58, 118, 178, 238, 52, 112, 172, 232, 47, 107, 167, 227, 60, 120, 180, 240, 50, 110, 170, 230, 23, 83, 143, 203, 49, 109, 169, 229, 42, 102, 162, 222, 18, 78, 138, 198)
	L = (1, 62)(2, 61)(3, 66)(4, 71)(5, 74)(6, 63)(7, 79)(8, 82)(9, 80)(10, 83)(11, 64)(12, 77)(13, 91)(14, 65)(15, 78)(16, 98)(17, 72)(18, 75)(19, 67)(20, 69)(21, 106)(22, 68)(23, 70)(24, 111)(25, 107)(26, 112)(27, 103)(28, 100)(29, 104)(30, 109)(31, 73)(32, 101)(33, 94)(34, 93)(35, 108)(36, 105)(37, 110)(38, 76)(39, 102)(40, 88)(41, 92)(42, 99)(43, 87)(44, 89)(45, 96)(46, 81)(47, 85)(48, 95)(49, 90)(50, 97)(51, 84)(52, 86)(53, 119)(54, 120)(55, 117)(56, 118)(57, 115)(58, 116)(59, 113)(60, 114)(121, 183)(122, 186)(123, 181)(124, 192)(125, 195)(126, 182)(127, 200)(128, 203)(129, 199)(130, 202)(131, 197)(132, 184)(133, 212)(134, 198)(135, 185)(136, 219)(137, 191)(138, 194)(139, 189)(140, 187)(141, 227)(142, 190)(143, 188)(144, 232)(145, 226)(146, 231)(147, 224)(148, 229)(149, 223)(150, 220)(151, 221)(152, 193)(153, 216)(154, 225)(155, 230)(156, 213)(157, 228)(158, 222)(159, 196)(160, 210)(161, 211)(162, 218)(163, 209)(164, 207)(165, 214)(166, 205)(167, 201)(168, 217)(169, 208)(170, 215)(171, 206)(172, 204)(173, 240)(174, 239)(175, 238)(176, 237)(177, 236)(178, 235)(179, 234)(180, 233)
	local type(s) :: { ( 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.1388
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 120 f = 62
	degree seq :: [ 60^4 ]

E28.1391 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 15, 30})
Quotient :: loop^2
Aut^+ = C6 x D10 (small group id <60, 10>)
Aut   = (C6 x D10) : C2 (small group id <120, 12>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y1 * Y3 * Y1 * Y2 * Y3^-1, Y2 * Y3^-1 * Y1 * Y3 * Y2 * Y1, Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1, Y2 * Y1 * Y3^-3 * Y2 * Y1, (Y1 * Y3^-1 * Y2)^30 ]
Map::
	R = (1, 61, 121, 181, 4, 64, 124, 184, 14, 74, 134, 194, 37, 97, 157, 217, 21, 81, 141, 201, 45, 105, 165, 225, 58, 118, 178, 238, 52, 112, 172, 232, 47, 107, 167, 227, 59, 119, 179, 239, 49, 109, 169, 229, 24, 84, 144, 204, 43, 103, 163, 223, 17, 77, 137, 197, 5, 65, 125, 185)(2, 62, 122, 182, 7, 67, 127, 187, 23, 83, 143, 203, 33, 93, 153, 213, 12, 72, 132, 192, 32, 92, 152, 212, 54, 114, 174, 234, 41, 101, 161, 221, 35, 95, 155, 215, 56, 116, 176, 236, 38, 98, 158, 218, 15, 75, 135, 195, 27, 87, 147, 207, 26, 86, 146, 206, 8, 68, 128, 188)(3, 63, 123, 183, 10, 70, 130, 190, 30, 90, 150, 210, 18, 78, 138, 198, 13, 73, 133, 193, 34, 94, 154, 214, 55, 115, 175, 235, 42, 102, 162, 222, 36, 96, 156, 216, 57, 117, 177, 237, 40, 100, 160, 220, 16, 76, 136, 196, 39, 99, 159, 219, 31, 91, 151, 211, 11, 71, 131, 191)(6, 66, 126, 186, 19, 79, 139, 199, 28, 88, 148, 208, 9, 69, 129, 189, 22, 82, 142, 202, 46, 106, 166, 226, 53, 113, 173, 233, 29, 89, 149, 209, 48, 108, 168, 228, 60, 120, 180, 240, 51, 111, 171, 231, 25, 85, 145, 205, 50, 110, 170, 230, 44, 104, 164, 224, 20, 80, 140, 200)
	L = (1, 62)(2, 61)(3, 69)(4, 72)(5, 75)(6, 78)(7, 81)(8, 84)(9, 63)(10, 89)(11, 80)(12, 64)(13, 82)(14, 95)(15, 65)(16, 88)(17, 101)(18, 66)(19, 102)(20, 71)(21, 67)(22, 73)(23, 107)(24, 68)(25, 90)(26, 112)(27, 97)(28, 76)(29, 70)(30, 85)(31, 111)(32, 105)(33, 103)(34, 108)(35, 74)(36, 106)(37, 87)(38, 109)(39, 113)(40, 104)(41, 77)(42, 79)(43, 93)(44, 100)(45, 92)(46, 96)(47, 83)(48, 94)(49, 98)(50, 115)(51, 91)(52, 86)(53, 99)(54, 119)(55, 110)(56, 118)(57, 120)(58, 116)(59, 114)(60, 117)(121, 183)(122, 186)(123, 181)(124, 193)(125, 196)(126, 182)(127, 202)(128, 205)(129, 207)(130, 201)(131, 204)(132, 199)(133, 184)(134, 216)(135, 200)(136, 185)(137, 222)(138, 223)(139, 192)(140, 195)(141, 190)(142, 187)(143, 228)(144, 191)(145, 188)(146, 209)(147, 189)(148, 215)(149, 206)(150, 227)(151, 232)(152, 226)(153, 230)(154, 225)(155, 208)(156, 194)(157, 219)(158, 231)(159, 217)(160, 229)(161, 224)(162, 197)(163, 198)(164, 221)(165, 214)(166, 212)(167, 210)(168, 203)(169, 220)(170, 213)(171, 218)(172, 211)(173, 236)(174, 240)(175, 239)(176, 233)(177, 238)(178, 237)(179, 235)(180, 234)
	local type(s) :: { ( 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.1389
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 120 f = 62
	degree seq :: [ 60^4 ]

E28.1392 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 15, 30})
Quotient :: loop^2
Aut^+ = C6 x D10 (small group id <60, 10>)
Aut   = (C6 x D10) : C2 (small group id <120, 12>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, (R * Y3)^2, R * Y2 * R * Y1, Y2 * Y3^-1 * Y2 * Y1 * Y3 * Y1, Y2 * Y3^4 * Y1 * Y3^-1, Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3 * Y1 ]
Map::
	R = (1, 61, 121, 181, 4, 64, 124, 184, 13, 73, 133, 193, 33, 93, 153, 213, 20, 80, 140, 200, 45, 105, 165, 225, 58, 118, 178, 238, 52, 112, 172, 232, 46, 106, 166, 226, 59, 119, 179, 239, 49, 109, 169, 229, 22, 82, 142, 202, 48, 108, 168, 228, 42, 102, 162, 222, 18, 78, 138, 198, 6, 66, 126, 186, 17, 77, 137, 197, 41, 101, 161, 221, 44, 104, 164, 224, 19, 79, 139, 199, 43, 103, 163, 223, 57, 117, 177, 237, 51, 111, 171, 231, 47, 107, 167, 227, 60, 120, 180, 240, 50, 110, 170, 230, 23, 83, 143, 203, 40, 100, 160, 220, 16, 76, 136, 196, 5, 65, 125, 185)(2, 62, 122, 182, 7, 67, 127, 187, 21, 81, 141, 201, 30, 90, 150, 210, 12, 72, 132, 192, 29, 89, 149, 209, 54, 114, 174, 234, 39, 99, 159, 219, 31, 91, 151, 211, 55, 115, 175, 235, 35, 95, 155, 215, 14, 74, 134, 194, 34, 94, 154, 214, 26, 86, 146, 206, 10, 70, 130, 190, 3, 63, 123, 183, 9, 69, 129, 189, 25, 85, 145, 205, 28, 88, 148, 208, 11, 71, 131, 191, 27, 87, 147, 207, 53, 113, 173, 233, 38, 98, 158, 218, 32, 92, 152, 212, 56, 116, 176, 236, 37, 97, 157, 217, 15, 75, 135, 195, 36, 96, 156, 216, 24, 84, 144, 204, 8, 68, 128, 188)
	L = (1, 62)(2, 61)(3, 66)(4, 71)(5, 74)(6, 63)(7, 79)(8, 82)(9, 80)(10, 83)(11, 64)(12, 77)(13, 91)(14, 65)(15, 78)(16, 98)(17, 72)(18, 75)(19, 67)(20, 69)(21, 106)(22, 68)(23, 70)(24, 111)(25, 107)(26, 112)(27, 103)(28, 108)(29, 105)(30, 100)(31, 73)(32, 101)(33, 96)(34, 104)(35, 109)(36, 93)(37, 110)(38, 76)(39, 102)(40, 90)(41, 92)(42, 99)(43, 87)(44, 94)(45, 89)(46, 81)(47, 85)(48, 88)(49, 95)(50, 97)(51, 84)(52, 86)(53, 119)(54, 120)(55, 117)(56, 118)(57, 115)(58, 116)(59, 113)(60, 114)(121, 183)(122, 186)(123, 181)(124, 192)(125, 195)(126, 182)(127, 200)(128, 203)(129, 199)(130, 202)(131, 197)(132, 184)(133, 212)(134, 198)(135, 185)(136, 219)(137, 191)(138, 194)(139, 189)(140, 187)(141, 227)(142, 190)(143, 188)(144, 232)(145, 226)(146, 231)(147, 225)(148, 220)(149, 223)(150, 228)(151, 221)(152, 193)(153, 214)(154, 213)(155, 230)(156, 224)(157, 229)(158, 222)(159, 196)(160, 208)(161, 211)(162, 218)(163, 209)(164, 216)(165, 207)(166, 205)(167, 201)(168, 210)(169, 217)(170, 215)(171, 206)(172, 204)(173, 240)(174, 239)(175, 238)(176, 237)(177, 236)(178, 235)(179, 234)(180, 233)
	local type(s) :: { ( 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30 ) }
Outer automorphisms :: reflexible
Dual of E28.1386
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 120 f = 64
	degree seq :: [ 120^2 ]

E28.1393 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 15, 30})
Quotient :: loop^2
Aut^+ = C6 x D10 (small group id <60, 10>)
Aut   = (C6 x D10) : C2 (small group id <120, 12>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y3 * Y1 * Y3^2, Y1 * Y2 * Y3 * Y2 * Y1 * Y3^-1, Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y3, Y3^9 * Y1 * Y2 ]
Map::
	R = (1, 61, 121, 181, 4, 64, 124, 184, 14, 74, 134, 194, 30, 90, 150, 210, 44, 104, 164, 224, 56, 116, 176, 236, 51, 111, 171, 231, 39, 99, 159, 219, 26, 86, 146, 206, 9, 69, 129, 189, 22, 82, 142, 202, 23, 83, 143, 203, 34, 94, 154, 214, 37, 97, 157, 217, 49, 109, 169, 229, 60, 120, 180, 240, 52, 112, 172, 232, 40, 100, 160, 220, 36, 96, 156, 216, 21, 81, 141, 201, 20, 80, 140, 200, 6, 66, 126, 186, 19, 79, 139, 199, 35, 95, 155, 215, 48, 108, 168, 228, 59, 119, 179, 239, 47, 107, 167, 227, 33, 93, 153, 213, 17, 77, 137, 197, 5, 65, 125, 185)(2, 62, 122, 182, 7, 67, 127, 187, 16, 76, 136, 196, 31, 91, 151, 211, 45, 105, 165, 225, 57, 117, 177, 237, 55, 115, 175, 235, 43, 103, 163, 223, 29, 89, 149, 209, 18, 78, 138, 198, 13, 73, 133, 193, 15, 75, 135, 195, 25, 85, 145, 205, 32, 92, 152, 212, 46, 106, 166, 226, 58, 118, 178, 238, 54, 114, 174, 234, 42, 102, 162, 222, 28, 88, 148, 208, 12, 72, 132, 192, 11, 71, 131, 191, 3, 63, 123, 183, 10, 70, 130, 190, 27, 87, 147, 207, 41, 101, 161, 221, 53, 113, 173, 233, 50, 110, 170, 230, 38, 98, 158, 218, 24, 84, 144, 204, 8, 68, 128, 188)
	L = (1, 62)(2, 61)(3, 69)(4, 72)(5, 75)(6, 78)(7, 81)(8, 83)(9, 63)(10, 77)(11, 80)(12, 64)(13, 82)(14, 89)(15, 65)(16, 86)(17, 70)(18, 66)(19, 84)(20, 71)(21, 67)(22, 73)(23, 68)(24, 79)(25, 96)(26, 76)(27, 100)(28, 94)(29, 74)(30, 98)(31, 93)(32, 99)(33, 91)(34, 88)(35, 102)(36, 85)(37, 103)(38, 90)(39, 92)(40, 87)(41, 111)(42, 95)(43, 97)(44, 114)(45, 112)(46, 107)(47, 106)(48, 115)(49, 110)(50, 109)(51, 101)(52, 105)(53, 119)(54, 104)(55, 108)(56, 117)(57, 116)(58, 120)(59, 113)(60, 118)(121, 183)(122, 186)(123, 181)(124, 193)(125, 196)(126, 182)(127, 202)(128, 194)(129, 205)(130, 201)(131, 203)(132, 199)(133, 184)(134, 188)(135, 200)(136, 185)(137, 212)(138, 214)(139, 192)(140, 195)(141, 190)(142, 187)(143, 191)(144, 217)(145, 189)(146, 207)(147, 206)(148, 210)(149, 215)(150, 208)(151, 216)(152, 197)(153, 221)(154, 198)(155, 209)(156, 211)(157, 204)(158, 228)(159, 225)(160, 226)(161, 213)(162, 229)(163, 224)(164, 223)(165, 219)(166, 220)(167, 237)(168, 218)(169, 222)(170, 236)(171, 238)(172, 233)(173, 232)(174, 239)(175, 240)(176, 230)(177, 227)(178, 231)(179, 234)(180, 235)
	local type(s) :: { ( 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30 ) }
Outer automorphisms :: reflexible
Dual of E28.1387
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 120 f = 64
	degree seq :: [ 120^2 ]

E28.1394 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 15, 30})
Quotient :: dipole
Aut^+ = C10 x S3 (small group id <60, 11>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (R * Y2)^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1)^2, Y2^2 * Y1 * Y2 * Y1 * Y2^2, Y2 * Y1 * Y2^-2 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 61, 2, 62)(3, 63, 9, 69)(4, 64, 7, 67)(5, 65, 13, 73)(6, 66, 15, 75)(8, 68, 19, 79)(10, 70, 24, 84)(11, 71, 22, 82)(12, 72, 27, 87)(14, 74, 31, 91)(16, 76, 35, 95)(17, 77, 33, 93)(18, 78, 37, 97)(20, 80, 40, 100)(21, 81, 32, 92)(23, 83, 39, 99)(25, 85, 30, 90)(26, 86, 44, 104)(28, 88, 49, 109)(29, 89, 34, 94)(36, 96, 53, 113)(38, 98, 56, 116)(41, 101, 50, 110)(42, 102, 55, 115)(43, 103, 52, 112)(45, 105, 54, 114)(46, 106, 48, 108)(47, 107, 51, 111)(57, 117, 59, 119)(58, 118, 60, 120)(121, 181, 123, 183, 130, 190, 145, 205, 139, 199, 159, 219, 174, 234, 155, 215, 160, 220, 172, 232, 154, 214, 135, 195, 152, 212, 134, 194, 125, 185)(122, 182, 126, 186, 136, 196, 150, 210, 133, 193, 149, 209, 165, 225, 144, 204, 151, 211, 163, 223, 143, 203, 129, 189, 141, 201, 140, 200, 128, 188)(124, 184, 131, 191, 146, 206, 166, 226, 157, 217, 175, 235, 180, 240, 173, 233, 176, 236, 179, 239, 171, 231, 153, 213, 170, 230, 148, 208, 132, 192)(127, 187, 137, 197, 156, 216, 168, 228, 147, 207, 167, 227, 178, 238, 164, 224, 169, 229, 177, 237, 162, 222, 142, 202, 161, 221, 158, 218, 138, 198)
	L = (1, 124)(2, 127)(3, 131)(4, 121)(5, 132)(6, 137)(7, 122)(8, 138)(9, 142)(10, 146)(11, 123)(12, 125)(13, 147)(14, 148)(15, 153)(16, 156)(17, 126)(18, 128)(19, 157)(20, 158)(21, 161)(22, 129)(23, 162)(24, 164)(25, 166)(26, 130)(27, 133)(28, 134)(29, 167)(30, 168)(31, 169)(32, 170)(33, 135)(34, 171)(35, 173)(36, 136)(37, 139)(38, 140)(39, 175)(40, 176)(41, 141)(42, 143)(43, 177)(44, 144)(45, 178)(46, 145)(47, 149)(48, 150)(49, 151)(50, 152)(51, 154)(52, 179)(53, 155)(54, 180)(55, 159)(56, 160)(57, 163)(58, 165)(59, 172)(60, 174)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 60, 4, 60 ), ( 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.1400
Graph:: simple bipartite
	v = 34 e = 120 f = 32
	degree seq :: [ 4^30, 30^4 ]

E28.1395 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 15, 30})
Quotient :: dipole
Aut^+ = C6 x D10 (small group id <60, 10>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (R * Y2)^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1)^2, Y1 * Y2 * Y1 * Y2^-4, (Y3 * Y2^-1 * Y1 * Y2)^2 ]
Map:: non-degenerate
	R = (1, 61, 2, 62)(3, 63, 9, 69)(4, 64, 7, 67)(5, 65, 13, 73)(6, 66, 15, 75)(8, 68, 19, 79)(10, 70, 24, 84)(11, 71, 22, 82)(12, 72, 27, 87)(14, 74, 31, 91)(16, 76, 35, 95)(17, 77, 34, 94)(18, 78, 37, 97)(20, 80, 40, 100)(21, 81, 33, 93)(23, 83, 32, 92)(25, 85, 29, 89)(26, 86, 45, 105)(28, 88, 49, 109)(30, 90, 39, 99)(36, 96, 54, 114)(38, 98, 56, 116)(41, 101, 53, 113)(42, 102, 52, 112)(43, 103, 50, 110)(44, 104, 51, 111)(46, 106, 47, 107)(48, 108, 55, 115)(57, 117, 60, 120)(58, 118, 59, 119)(121, 181, 123, 183, 130, 190, 145, 205, 135, 195, 153, 213, 171, 231, 160, 220, 155, 215, 173, 233, 159, 219, 139, 199, 152, 212, 134, 194, 125, 185)(122, 182, 126, 186, 136, 196, 143, 203, 129, 189, 141, 201, 161, 221, 151, 211, 144, 204, 164, 224, 150, 210, 133, 193, 149, 209, 140, 200, 128, 188)(124, 184, 131, 191, 146, 206, 166, 226, 154, 214, 172, 232, 179, 239, 176, 236, 174, 234, 180, 240, 175, 235, 157, 217, 170, 230, 148, 208, 132, 192)(127, 187, 137, 197, 156, 216, 163, 223, 142, 202, 162, 222, 177, 237, 169, 229, 165, 225, 178, 238, 168, 228, 147, 207, 167, 227, 158, 218, 138, 198)
	L = (1, 124)(2, 127)(3, 131)(4, 121)(5, 132)(6, 137)(7, 122)(8, 138)(9, 142)(10, 146)(11, 123)(12, 125)(13, 147)(14, 148)(15, 154)(16, 156)(17, 126)(18, 128)(19, 157)(20, 158)(21, 162)(22, 129)(23, 163)(24, 165)(25, 166)(26, 130)(27, 133)(28, 134)(29, 167)(30, 168)(31, 169)(32, 170)(33, 172)(34, 135)(35, 174)(36, 136)(37, 139)(38, 140)(39, 175)(40, 176)(41, 177)(42, 141)(43, 143)(44, 178)(45, 144)(46, 145)(47, 149)(48, 150)(49, 151)(50, 152)(51, 179)(52, 153)(53, 180)(54, 155)(55, 159)(56, 160)(57, 161)(58, 164)(59, 171)(60, 173)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 60, 4, 60 ), ( 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.1402
Graph:: simple bipartite
	v = 34 e = 120 f = 32
	degree seq :: [ 4^30, 30^4 ]

E28.1396 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 15, 30})
Quotient :: dipole
Aut^+ = C10 x S3 (small group id <60, 11>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y1 * Y3^-1)^2, (R * Y1)^2, (Y2, Y3), (R * Y2)^2, (R * Y3)^2, Y1 * Y2^-1 * Y1 * Y3^2 * Y2, Y2 * Y3 * Y1 * Y3^-1 * Y2^-1 * Y1, Y3^6, Y2^5 * Y3^2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y1 * Y2^-2 * Y1, Y3 * Y2^-1 * Y3^2 * Y1 * Y2 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 61, 2, 62)(3, 63, 11, 71)(4, 64, 10, 70)(5, 65, 17, 77)(6, 66, 8, 68)(7, 67, 21, 81)(9, 69, 27, 87)(12, 72, 33, 93)(13, 73, 23, 83)(14, 74, 32, 92)(15, 75, 30, 90)(16, 76, 40, 100)(18, 78, 43, 103)(19, 79, 29, 89)(20, 80, 25, 85)(22, 82, 47, 107)(24, 84, 46, 106)(26, 86, 53, 113)(28, 88, 55, 115)(31, 91, 44, 104)(34, 94, 42, 102)(35, 95, 57, 117)(36, 96, 49, 109)(37, 97, 50, 110)(38, 98, 51, 111)(39, 99, 52, 112)(41, 101, 54, 114)(45, 105, 59, 119)(48, 108, 60, 120)(56, 116, 58, 118)(121, 181, 123, 183, 132, 192, 154, 214, 147, 207, 140, 200, 157, 217, 167, 227, 175, 235, 159, 219, 135, 195, 141, 201, 164, 224, 138, 198, 125, 185)(122, 182, 127, 187, 142, 202, 162, 222, 137, 197, 150, 210, 170, 230, 153, 213, 163, 223, 172, 232, 145, 205, 131, 191, 151, 211, 148, 208, 129, 189)(124, 184, 133, 193, 155, 215, 165, 225, 139, 199, 126, 186, 134, 194, 156, 216, 178, 238, 173, 233, 158, 218, 166, 226, 180, 240, 161, 221, 136, 196)(128, 188, 143, 203, 168, 228, 176, 236, 149, 209, 130, 190, 144, 204, 169, 229, 179, 239, 160, 220, 171, 231, 152, 212, 177, 237, 174, 234, 146, 206)
	L = (1, 124)(2, 128)(3, 133)(4, 135)(5, 136)(6, 121)(7, 143)(8, 145)(9, 146)(10, 122)(11, 152)(12, 155)(13, 141)(14, 123)(15, 158)(16, 159)(17, 149)(18, 161)(19, 125)(20, 126)(21, 166)(22, 168)(23, 131)(24, 127)(25, 171)(26, 172)(27, 139)(28, 174)(29, 129)(30, 130)(31, 177)(32, 170)(33, 169)(34, 165)(35, 164)(36, 132)(37, 134)(38, 140)(39, 173)(40, 137)(41, 175)(42, 176)(43, 179)(44, 180)(45, 138)(46, 157)(47, 156)(48, 151)(49, 142)(50, 144)(51, 150)(52, 160)(53, 147)(54, 163)(55, 178)(56, 148)(57, 153)(58, 154)(59, 162)(60, 167)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 60, 4, 60 ), ( 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.1401
Graph:: simple bipartite
	v = 34 e = 120 f = 32
	degree seq :: [ 4^30, 30^4 ]

E28.1397 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 15, 30})
Quotient :: dipole
Aut^+ = C6 x D10 (small group id <60, 10>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2^-1), (R * Y2)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y3^2 * Y2^-3, Y2 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y3, Y3^10 ]
Map:: non-degenerate
	R = (1, 61, 2, 62)(3, 63, 11, 71)(4, 64, 10, 70)(5, 65, 17, 77)(6, 66, 8, 68)(7, 67, 21, 81)(9, 69, 27, 87)(12, 72, 33, 93)(13, 73, 23, 83)(14, 74, 32, 92)(15, 75, 30, 90)(16, 76, 36, 96)(18, 78, 38, 98)(19, 79, 29, 89)(20, 80, 25, 85)(22, 82, 43, 103)(24, 84, 42, 102)(26, 86, 46, 106)(28, 88, 48, 108)(31, 91, 41, 101)(34, 94, 52, 112)(35, 95, 50, 110)(37, 97, 47, 107)(39, 99, 55, 115)(40, 100, 45, 105)(44, 104, 57, 117)(49, 109, 58, 118)(51, 111, 56, 116)(53, 113, 54, 114)(59, 119, 60, 120)(121, 181, 123, 183, 132, 192, 135, 195, 141, 201, 161, 221, 174, 234, 168, 228, 163, 223, 176, 236, 167, 227, 147, 207, 140, 200, 138, 198, 125, 185)(122, 182, 127, 187, 142, 202, 145, 205, 131, 191, 151, 211, 171, 231, 158, 218, 153, 213, 173, 233, 157, 217, 137, 197, 150, 210, 148, 208, 129, 189)(124, 184, 133, 193, 154, 214, 155, 215, 162, 222, 177, 237, 180, 240, 178, 238, 166, 226, 160, 220, 159, 219, 139, 199, 126, 186, 134, 194, 136, 196)(128, 188, 143, 203, 164, 224, 165, 225, 152, 212, 172, 232, 179, 239, 175, 235, 156, 216, 170, 230, 169, 229, 149, 209, 130, 190, 144, 204, 146, 206)
	L = (1, 124)(2, 128)(3, 133)(4, 135)(5, 136)(6, 121)(7, 143)(8, 145)(9, 146)(10, 122)(11, 152)(12, 154)(13, 141)(14, 123)(15, 155)(16, 132)(17, 149)(18, 134)(19, 125)(20, 126)(21, 162)(22, 164)(23, 131)(24, 127)(25, 165)(26, 142)(27, 139)(28, 144)(29, 129)(30, 130)(31, 172)(32, 158)(33, 156)(34, 161)(35, 174)(36, 137)(37, 169)(38, 175)(39, 138)(40, 140)(41, 177)(42, 168)(43, 166)(44, 151)(45, 171)(46, 147)(47, 159)(48, 178)(49, 148)(50, 150)(51, 179)(52, 153)(53, 170)(54, 180)(55, 157)(56, 160)(57, 163)(58, 167)(59, 173)(60, 176)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 60, 4, 60 ), ( 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.1405
Graph:: simple bipartite
	v = 34 e = 120 f = 32
	degree seq :: [ 4^30, 30^4 ]

E28.1398 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 15, 30})
Quotient :: dipole
Aut^+ = C6 x D10 (small group id <60, 10>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2^-1), (R * Y2)^2, (Y3^-1 * Y1)^2, (Y3, Y2), (R * Y1)^2, (R * Y3)^2, Y3 * Y2^-2 * Y3^-1 * Y2^2, Y2 * Y3 * Y2^2 * Y3^3, Y1 * Y2 * Y3 * Y1 * Y2^2 * Y3^-1, Y1 * Y3^-2 * Y2^2 * Y1 * Y2, Y1 * Y2^4 * Y1 * Y2^-1, Y3^2 * Y2^-1 * Y3 * Y1 * Y2 * Y3^-1 * Y1, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^3 ]
Map:: non-degenerate
	R = (1, 61, 2, 62)(3, 63, 11, 71)(4, 64, 10, 70)(5, 65, 17, 77)(6, 66, 8, 68)(7, 67, 21, 81)(9, 69, 27, 87)(12, 72, 35, 95)(13, 73, 34, 94)(14, 74, 32, 92)(15, 75, 30, 90)(16, 76, 43, 103)(18, 78, 48, 108)(19, 79, 46, 106)(20, 80, 25, 85)(22, 82, 51, 111)(23, 83, 44, 104)(24, 84, 53, 113)(26, 86, 56, 116)(28, 88, 39, 99)(29, 89, 38, 98)(31, 91, 42, 102)(33, 93, 49, 109)(36, 96, 45, 105)(37, 97, 54, 114)(40, 100, 47, 107)(41, 101, 58, 118)(50, 110, 57, 117)(52, 112, 55, 115)(59, 119, 60, 120)(121, 181, 123, 183, 132, 192, 156, 216, 141, 201, 162, 222, 135, 195, 159, 219, 171, 231, 140, 200, 160, 220, 147, 207, 169, 229, 138, 198, 125, 185)(122, 182, 127, 187, 142, 202, 153, 213, 131, 191, 151, 211, 145, 205, 168, 228, 155, 215, 150, 210, 167, 227, 137, 197, 165, 225, 148, 208, 129, 189)(124, 184, 133, 193, 157, 217, 172, 232, 173, 233, 176, 236, 161, 221, 170, 230, 139, 199, 126, 186, 134, 194, 158, 218, 180, 240, 164, 224, 136, 196)(128, 188, 143, 203, 174, 234, 178, 238, 152, 212, 163, 223, 175, 235, 177, 237, 149, 209, 130, 190, 144, 204, 166, 226, 179, 239, 154, 214, 146, 206)
	L = (1, 124)(2, 128)(3, 133)(4, 135)(5, 136)(6, 121)(7, 143)(8, 145)(9, 146)(10, 122)(11, 152)(12, 157)(13, 159)(14, 123)(15, 161)(16, 162)(17, 166)(18, 164)(19, 125)(20, 126)(21, 173)(22, 174)(23, 168)(24, 127)(25, 175)(26, 151)(27, 158)(28, 154)(29, 129)(30, 130)(31, 163)(32, 167)(33, 178)(34, 131)(35, 149)(36, 172)(37, 171)(38, 132)(39, 170)(40, 134)(41, 169)(42, 176)(43, 137)(44, 141)(45, 179)(46, 142)(47, 144)(48, 177)(49, 180)(50, 138)(51, 139)(52, 140)(53, 160)(54, 155)(55, 165)(56, 147)(57, 148)(58, 150)(59, 153)(60, 156)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 60, 4, 60 ), ( 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.1403
Graph:: simple bipartite
	v = 34 e = 120 f = 32
	degree seq :: [ 4^30, 30^4 ]

E28.1399 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 15, 30})
Quotient :: dipole
Aut^+ = C6 x D10 (small group id <60, 10>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2, Y3), (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3^-2 * Y1)^2, Y3^-1 * Y2^-2 * Y3 * Y2^2, Y3^2 * Y1 * Y2^-2 * Y1 * Y2^-1, Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y2^-1, Y2 * Y3^-1 * Y2^2 * Y3^-3, Y1 * Y2 * Y1 * Y3^2 * Y2^2, Y1 * Y2 * Y1 * Y2^-4, Y2^-1 * Y3 * Y1 * Y2^2 * Y3^-1 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 61, 2, 62)(3, 63, 11, 71)(4, 64, 10, 70)(5, 65, 17, 77)(6, 66, 8, 68)(7, 67, 21, 81)(9, 69, 27, 87)(12, 72, 35, 95)(13, 73, 34, 94)(14, 74, 32, 92)(15, 75, 30, 90)(16, 76, 43, 103)(18, 78, 48, 108)(19, 79, 46, 106)(20, 80, 25, 85)(22, 82, 42, 102)(23, 83, 53, 113)(24, 84, 50, 110)(26, 86, 37, 97)(28, 88, 40, 100)(29, 89, 57, 117)(31, 91, 51, 111)(33, 93, 49, 109)(36, 96, 45, 105)(38, 98, 54, 114)(39, 99, 47, 107)(41, 101, 58, 118)(44, 104, 56, 116)(52, 112, 55, 115)(59, 119, 60, 120)(121, 181, 123, 183, 132, 192, 156, 216, 141, 201, 171, 231, 140, 200, 160, 220, 162, 222, 135, 195, 159, 219, 147, 207, 169, 229, 138, 198, 125, 185)(122, 182, 127, 187, 142, 202, 153, 213, 131, 191, 151, 211, 150, 210, 168, 228, 155, 215, 145, 205, 167, 227, 137, 197, 165, 225, 148, 208, 129, 189)(124, 184, 133, 193, 157, 217, 180, 240, 170, 230, 139, 199, 126, 186, 134, 194, 158, 218, 161, 221, 173, 233, 177, 237, 172, 232, 164, 224, 136, 196)(128, 188, 143, 203, 163, 223, 179, 239, 152, 212, 149, 209, 130, 190, 144, 204, 174, 234, 175, 235, 154, 214, 166, 226, 178, 238, 176, 236, 146, 206)
	L = (1, 124)(2, 128)(3, 133)(4, 135)(5, 136)(6, 121)(7, 143)(8, 145)(9, 146)(10, 122)(11, 152)(12, 157)(13, 159)(14, 123)(15, 161)(16, 162)(17, 166)(18, 164)(19, 125)(20, 126)(21, 170)(22, 163)(23, 167)(24, 127)(25, 175)(26, 155)(27, 177)(28, 176)(29, 129)(30, 130)(31, 149)(32, 148)(33, 179)(34, 131)(35, 174)(36, 180)(37, 147)(38, 132)(39, 173)(40, 134)(41, 156)(42, 158)(43, 137)(44, 160)(45, 178)(46, 151)(47, 154)(48, 144)(49, 172)(50, 138)(51, 139)(52, 140)(53, 141)(54, 142)(55, 153)(56, 168)(57, 171)(58, 150)(59, 165)(60, 169)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 60, 4, 60 ), ( 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.1404
Graph:: simple bipartite
	v = 34 e = 120 f = 32
	degree seq :: [ 4^30, 30^4 ]

E28.1400 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 15, 30})
Quotient :: dipole
Aut^+ = C10 x S3 (small group id <60, 11>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, Y3 * Y1^-1 * Y3 * Y1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, Y1^-2 * Y2 * Y3 * Y1^-1 * Y2 * Y1^-2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y1^-2 * Y3 * Y1^-1 * Y2 * Y1^3 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 6, 66, 15, 75, 33, 93, 51, 111, 59, 119, 57, 117, 49, 109, 56, 116, 48, 108, 22, 82, 40, 100, 28, 88, 12, 72, 4, 64, 8, 68, 17, 77, 35, 95, 25, 85, 43, 103, 54, 114, 45, 105, 55, 115, 60, 120, 58, 118, 47, 107, 32, 92, 14, 74, 5, 65)(3, 63, 9, 69, 21, 81, 34, 94, 27, 87, 50, 110, 53, 113, 37, 97, 31, 91, 44, 104, 20, 80, 7, 67, 18, 78, 39, 99, 24, 84, 10, 70, 23, 83, 46, 106, 30, 90, 13, 73, 29, 89, 38, 98, 16, 76, 36, 96, 52, 112, 42, 102, 19, 79, 41, 101, 26, 86, 11, 71)(121, 181, 123, 183)(122, 182, 127, 187)(124, 184, 130, 190)(125, 185, 133, 193)(126, 186, 136, 196)(128, 188, 139, 199)(129, 189, 142, 202)(131, 191, 145, 205)(132, 192, 147, 207)(134, 194, 151, 211)(135, 195, 154, 214)(137, 197, 157, 217)(138, 198, 160, 220)(140, 200, 163, 223)(141, 201, 165, 225)(143, 203, 167, 227)(144, 204, 153, 213)(146, 206, 169, 229)(148, 208, 156, 216)(149, 209, 168, 228)(150, 210, 155, 215)(152, 212, 161, 221)(158, 218, 174, 234)(159, 219, 175, 235)(162, 222, 171, 231)(164, 224, 176, 236)(166, 226, 177, 237)(170, 230, 178, 238)(172, 232, 180, 240)(173, 233, 179, 239)
	L = (1, 124)(2, 128)(3, 130)(4, 121)(5, 132)(6, 137)(7, 139)(8, 122)(9, 143)(10, 123)(11, 144)(12, 125)(13, 147)(14, 148)(15, 155)(16, 157)(17, 126)(18, 161)(19, 127)(20, 162)(21, 166)(22, 167)(23, 129)(24, 131)(25, 153)(26, 159)(27, 133)(28, 134)(29, 170)(30, 154)(31, 156)(32, 160)(33, 145)(34, 150)(35, 135)(36, 151)(37, 136)(38, 173)(39, 146)(40, 152)(41, 138)(42, 140)(43, 171)(44, 172)(45, 177)(46, 141)(47, 142)(48, 178)(49, 175)(50, 149)(51, 163)(52, 164)(53, 158)(54, 179)(55, 169)(56, 180)(57, 165)(58, 168)(59, 174)(60, 176)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 30, 4, 30 ), ( 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30 ) }
Outer automorphisms :: reflexible
Dual of E28.1394
Graph:: bipartite
	v = 32 e = 120 f = 34
	degree seq :: [ 4^30, 60^2 ]

E28.1401 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 15, 30})
Quotient :: dipole
Aut^+ = C10 x S3 (small group id <60, 11>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y1), Y3 * Y2 * Y3^-1 * Y1 * Y2 * Y1^-1, Y3^-1 * Y1^-5, Y3^6, (R * Y2 * Y3^-1)^2, (Y2 * Y1^-1 * R)^2, Y2 * Y3^-1 * Y1^-2 * Y2 * Y1^-3, Y1^-1 * Y3^-2 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 7, 67, 21, 81, 19, 79, 6, 66, 10, 70, 24, 84, 45, 105, 43, 103, 20, 80, 30, 90, 51, 111, 59, 119, 57, 117, 38, 98, 56, 116, 60, 120, 58, 118, 35, 95, 15, 75, 29, 89, 50, 110, 39, 99, 16, 76, 4, 64, 9, 69, 23, 83, 18, 78, 5, 65)(3, 63, 11, 71, 31, 91, 44, 104, 37, 97, 14, 74, 26, 86, 53, 113, 42, 102, 54, 114, 27, 87, 8, 68, 25, 85, 52, 112, 40, 100, 55, 115, 28, 88, 47, 107, 41, 101, 17, 77, 33, 93, 48, 108, 22, 82, 46, 106, 34, 94, 12, 72, 32, 92, 49, 109, 36, 96, 13, 73)(121, 181, 123, 183)(122, 182, 128, 188)(124, 184, 134, 194)(125, 185, 137, 197)(126, 186, 132, 192)(127, 187, 142, 202)(129, 189, 148, 208)(130, 190, 146, 206)(131, 191, 150, 210)(133, 193, 155, 215)(135, 195, 147, 207)(136, 196, 154, 214)(138, 198, 162, 222)(139, 199, 160, 220)(140, 200, 153, 213)(141, 201, 164, 224)(143, 203, 169, 229)(144, 204, 167, 227)(145, 205, 171, 231)(149, 209, 168, 228)(151, 211, 170, 230)(152, 212, 176, 236)(156, 216, 165, 225)(157, 217, 177, 237)(158, 218, 175, 235)(159, 219, 172, 232)(161, 221, 178, 238)(163, 223, 174, 234)(166, 226, 179, 239)(173, 233, 180, 240)
	L = (1, 124)(2, 129)(3, 132)(4, 135)(5, 136)(6, 121)(7, 143)(8, 146)(9, 149)(10, 122)(11, 152)(12, 153)(13, 154)(14, 123)(15, 158)(16, 155)(17, 160)(18, 159)(19, 125)(20, 126)(21, 138)(22, 167)(23, 170)(24, 127)(25, 173)(26, 131)(27, 134)(28, 128)(29, 176)(30, 130)(31, 169)(32, 168)(33, 175)(34, 137)(35, 177)(36, 166)(37, 133)(38, 140)(39, 178)(40, 174)(41, 172)(42, 164)(43, 139)(44, 156)(45, 141)(46, 161)(47, 145)(48, 148)(49, 142)(50, 180)(51, 144)(52, 162)(53, 151)(54, 157)(55, 147)(56, 150)(57, 163)(58, 179)(59, 165)(60, 171)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 30, 4, 30 ), ( 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30 ) }
Outer automorphisms :: reflexible
Dual of E28.1396
Graph:: bipartite
	v = 32 e = 120 f = 34
	degree seq :: [ 4^30, 60^2 ]

E28.1402 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 15, 30})
Quotient :: dipole
Aut^+ = C6 x D10 (small group id <60, 10>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, Y3 * Y1^-1 * Y3 * Y1, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y2 * Y1 * Y3 * Y2 * Y1^-3, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1^7 * Y3 * Y2 * Y1^2 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 6, 66, 15, 75, 33, 93, 51, 111, 59, 119, 57, 117, 45, 105, 55, 115, 48, 108, 25, 85, 43, 103, 28, 88, 12, 72, 4, 64, 8, 68, 17, 77, 35, 95, 22, 82, 40, 100, 52, 112, 49, 109, 56, 116, 60, 120, 58, 118, 46, 106, 32, 92, 14, 74, 5, 65)(3, 63, 9, 69, 21, 81, 42, 102, 19, 79, 41, 101, 54, 114, 38, 98, 16, 76, 36, 96, 30, 90, 13, 73, 29, 89, 47, 107, 24, 84, 10, 70, 23, 83, 44, 104, 20, 80, 7, 67, 18, 78, 39, 99, 31, 91, 37, 97, 53, 113, 50, 110, 27, 87, 34, 94, 26, 86, 11, 71)(121, 181, 123, 183)(122, 182, 127, 187)(124, 184, 130, 190)(125, 185, 133, 193)(126, 186, 136, 196)(128, 188, 139, 199)(129, 189, 142, 202)(131, 191, 145, 205)(132, 192, 147, 207)(134, 194, 151, 211)(135, 195, 154, 214)(137, 197, 157, 217)(138, 198, 160, 220)(140, 200, 163, 223)(141, 201, 165, 225)(143, 203, 153, 213)(144, 204, 166, 226)(146, 206, 169, 229)(148, 208, 158, 218)(149, 209, 155, 215)(150, 210, 168, 228)(152, 212, 162, 222)(156, 216, 172, 232)(159, 219, 175, 235)(161, 221, 171, 231)(164, 224, 176, 236)(167, 227, 177, 237)(170, 230, 178, 238)(173, 233, 179, 239)(174, 234, 180, 240)
	L = (1, 124)(2, 128)(3, 130)(4, 121)(5, 132)(6, 137)(7, 139)(8, 122)(9, 143)(10, 123)(11, 144)(12, 125)(13, 147)(14, 148)(15, 155)(16, 157)(17, 126)(18, 161)(19, 127)(20, 162)(21, 164)(22, 153)(23, 129)(24, 131)(25, 166)(26, 167)(27, 133)(28, 134)(29, 154)(30, 170)(31, 158)(32, 163)(33, 142)(34, 149)(35, 135)(36, 173)(37, 136)(38, 151)(39, 174)(40, 171)(41, 138)(42, 140)(43, 152)(44, 141)(45, 176)(46, 145)(47, 146)(48, 178)(49, 177)(50, 150)(51, 160)(52, 179)(53, 156)(54, 159)(55, 180)(56, 165)(57, 169)(58, 168)(59, 172)(60, 175)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 30, 4, 30 ), ( 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30 ) }
Outer automorphisms :: reflexible
Dual of E28.1395
Graph:: bipartite
	v = 32 e = 120 f = 34
	degree seq :: [ 4^30, 60^2 ]

E28.1403 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 15, 30})
Quotient :: dipole
Aut^+ = C6 x D10 (small group id <60, 10>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y1)^2, Y2 * Y1^-1 * Y3^2 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y1^-1 * Y2 * Y1^-2, Y1^2 * Y3^-3 * Y1, R * Y3^-1 * Y1^-2 * Y3 * R * Y1^-2, Y1^-2 * Y3^-1 * Y1^-7, (Y1^-1 * Y3^-1)^15 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 7, 67, 21, 81, 37, 97, 49, 109, 47, 107, 35, 95, 19, 79, 6, 66, 10, 70, 24, 84, 15, 75, 29, 89, 42, 102, 54, 114, 48, 108, 36, 96, 20, 80, 30, 90, 16, 76, 4, 64, 9, 69, 23, 83, 39, 99, 51, 111, 46, 106, 34, 94, 18, 78, 5, 65)(3, 63, 11, 71, 31, 91, 43, 103, 55, 115, 58, 118, 53, 113, 40, 100, 22, 82, 14, 74, 26, 86, 17, 77, 33, 93, 45, 105, 57, 117, 59, 119, 50, 110, 41, 101, 27, 87, 8, 68, 25, 85, 12, 72, 32, 92, 44, 104, 56, 116, 60, 120, 52, 112, 38, 98, 28, 88, 13, 73)(121, 181, 123, 183)(122, 182, 128, 188)(124, 184, 134, 194)(125, 185, 137, 197)(126, 186, 132, 192)(127, 187, 142, 202)(129, 189, 148, 208)(130, 190, 146, 206)(131, 191, 150, 210)(133, 193, 144, 204)(135, 195, 147, 207)(136, 196, 145, 205)(138, 198, 152, 212)(139, 199, 151, 211)(140, 200, 153, 213)(141, 201, 158, 218)(143, 203, 161, 221)(149, 209, 160, 220)(154, 214, 163, 223)(155, 215, 165, 225)(156, 216, 164, 224)(157, 217, 170, 230)(159, 219, 173, 233)(162, 222, 172, 232)(166, 226, 177, 237)(167, 227, 176, 236)(168, 228, 175, 235)(169, 229, 178, 238)(171, 231, 180, 240)(174, 234, 179, 239)
	L = (1, 124)(2, 129)(3, 132)(4, 135)(5, 136)(6, 121)(7, 143)(8, 146)(9, 149)(10, 122)(11, 152)(12, 153)(13, 145)(14, 123)(15, 141)(16, 144)(17, 151)(18, 150)(19, 125)(20, 126)(21, 159)(22, 133)(23, 162)(24, 127)(25, 137)(26, 131)(27, 134)(28, 128)(29, 157)(30, 130)(31, 164)(32, 165)(33, 163)(34, 140)(35, 138)(36, 139)(37, 171)(38, 147)(39, 174)(40, 148)(41, 142)(42, 169)(43, 176)(44, 177)(45, 175)(46, 156)(47, 154)(48, 155)(49, 166)(50, 160)(51, 168)(52, 161)(53, 158)(54, 167)(55, 180)(56, 179)(57, 178)(58, 172)(59, 173)(60, 170)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 30, 4, 30 ), ( 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30 ) }
Outer automorphisms :: reflexible
Dual of E28.1398
Graph:: bipartite
	v = 32 e = 120 f = 34
	degree seq :: [ 4^30, 60^2 ]

E28.1404 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 15, 30})
Quotient :: dipole
Aut^+ = C6 x D10 (small group id <60, 10>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3, Y1^-1), Y3 * Y1^-3, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-1 * Y2 * R * Y1 * Y2 * R * Y1^-1, Y2 * Y1 * Y3 * Y1 * Y2 * Y3^-1 * Y1^-2, Y3 * Y2 * Y3^-1 * Y1 * Y3^-2 * Y2 * Y1^-1, Y1^-1 * Y3^-3 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1^-1 * Y2 * Y1^-1 * Y3^-3 * Y1^-1, Y3^10, (Y3^-1 * Y1^-1)^15 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 7, 67, 4, 64, 9, 69, 20, 80, 15, 75, 25, 85, 44, 104, 35, 95, 53, 113, 32, 92, 50, 110, 58, 118, 57, 117, 60, 120, 56, 116, 59, 119, 55, 115, 28, 88, 46, 106, 40, 100, 54, 114, 39, 99, 18, 78, 26, 86, 17, 77, 6, 66, 10, 70, 5, 65)(3, 63, 11, 71, 27, 87, 12, 72, 29, 89, 43, 103, 31, 91, 42, 102, 19, 79, 41, 101, 38, 98, 16, 76, 36, 96, 52, 112, 37, 97, 51, 111, 24, 84, 48, 108, 23, 83, 8, 68, 21, 81, 45, 105, 22, 82, 47, 107, 34, 94, 49, 109, 33, 93, 14, 74, 30, 90, 13, 73)(121, 181, 123, 183)(122, 182, 128, 188)(124, 184, 134, 194)(125, 185, 136, 196)(126, 186, 132, 192)(127, 187, 139, 199)(129, 189, 144, 204)(130, 190, 142, 202)(131, 191, 148, 208)(133, 193, 152, 212)(135, 195, 154, 214)(137, 197, 157, 217)(138, 198, 151, 211)(140, 200, 163, 223)(141, 201, 166, 226)(143, 203, 170, 230)(145, 205, 172, 232)(146, 206, 169, 229)(147, 207, 164, 224)(149, 209, 176, 236)(150, 210, 174, 234)(153, 213, 177, 237)(155, 215, 165, 225)(156, 216, 175, 235)(158, 218, 173, 233)(159, 219, 168, 228)(160, 220, 161, 221)(162, 222, 178, 238)(167, 227, 179, 239)(171, 231, 180, 240)
	L = (1, 124)(2, 129)(3, 132)(4, 135)(5, 127)(6, 121)(7, 140)(8, 142)(9, 145)(10, 122)(11, 149)(12, 151)(13, 147)(14, 123)(15, 155)(16, 157)(17, 125)(18, 126)(19, 136)(20, 164)(21, 167)(22, 169)(23, 165)(24, 128)(25, 173)(26, 130)(27, 163)(28, 174)(29, 162)(30, 131)(31, 161)(32, 177)(33, 133)(34, 134)(35, 170)(36, 171)(37, 168)(38, 172)(39, 137)(40, 138)(41, 156)(42, 158)(43, 139)(44, 152)(45, 154)(46, 159)(47, 153)(48, 141)(49, 150)(50, 180)(51, 143)(52, 144)(53, 178)(54, 146)(55, 160)(56, 148)(57, 179)(58, 176)(59, 166)(60, 175)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 30, 4, 30 ), ( 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30 ) }
Outer automorphisms :: reflexible
Dual of E28.1399
Graph:: bipartite
	v = 32 e = 120 f = 34
	degree seq :: [ 4^30, 60^2 ]

E28.1405 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 15, 30})
Quotient :: dipole
Aut^+ = C6 x D10 (small group id <60, 10>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3^-1, Y1^-1), (R * Y3)^2, Y3^-1 * Y1^-3, (R * Y1)^2, (Y3 * Y2)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2 * Y3^-1 * Y1^-1 * Y2 * Y3^2 * Y1^-2, Y3^-1 * Y2 * R * Y1^2 * Y2 * R * Y1^-1, Y3 * Y2 * Y3^-1 * Y1^2 * Y2 * Y1^-2, Y3^10 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 7, 67, 6, 66, 10, 70, 20, 80, 18, 78, 26, 86, 44, 104, 40, 100, 54, 114, 33, 93, 51, 111, 58, 118, 57, 117, 60, 120, 55, 115, 59, 119, 56, 116, 28, 88, 46, 106, 35, 95, 53, 113, 36, 96, 15, 75, 25, 85, 16, 76, 4, 64, 9, 69, 5, 65)(3, 63, 11, 71, 27, 87, 14, 74, 30, 90, 42, 102, 34, 94, 43, 103, 19, 79, 41, 101, 39, 99, 17, 77, 38, 98, 49, 109, 37, 97, 50, 110, 22, 82, 47, 107, 23, 83, 8, 68, 21, 81, 45, 105, 24, 84, 48, 108, 31, 91, 52, 112, 32, 92, 12, 72, 29, 89, 13, 73)(121, 181, 123, 183)(122, 182, 128, 188)(124, 184, 134, 194)(125, 185, 137, 197)(126, 186, 132, 192)(127, 187, 139, 199)(129, 189, 144, 204)(130, 190, 142, 202)(131, 191, 148, 208)(133, 193, 153, 213)(135, 195, 154, 214)(136, 196, 157, 217)(138, 198, 151, 211)(140, 200, 162, 222)(141, 201, 166, 226)(143, 203, 171, 231)(145, 205, 172, 232)(146, 206, 169, 229)(147, 207, 164, 224)(149, 209, 173, 233)(150, 210, 175, 235)(152, 212, 177, 237)(155, 215, 161, 221)(156, 216, 167, 227)(158, 218, 176, 236)(159, 219, 174, 234)(160, 220, 165, 225)(163, 223, 178, 238)(168, 228, 179, 239)(170, 230, 180, 240)
	L = (1, 124)(2, 129)(3, 132)(4, 135)(5, 136)(6, 121)(7, 125)(8, 142)(9, 145)(10, 122)(11, 149)(12, 151)(13, 152)(14, 123)(15, 155)(16, 156)(17, 139)(18, 126)(19, 162)(20, 127)(21, 167)(22, 169)(23, 170)(24, 128)(25, 173)(26, 130)(27, 133)(28, 175)(29, 172)(30, 131)(31, 165)(32, 168)(33, 164)(34, 134)(35, 176)(36, 166)(37, 137)(38, 161)(39, 163)(40, 138)(41, 154)(42, 147)(43, 150)(44, 140)(45, 143)(46, 179)(47, 157)(48, 141)(49, 159)(50, 158)(51, 160)(52, 144)(53, 148)(54, 146)(55, 178)(56, 180)(57, 153)(58, 174)(59, 177)(60, 171)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 30, 4, 30 ), ( 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30 ) }
Outer automorphisms :: reflexible
Dual of E28.1397
Graph:: bipartite
	v = 32 e = 120 f = 34
	degree seq :: [ 4^30, 60^2 ]

E28.1406 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 15, 30})
Quotient :: halfedge^2
Aut^+ = C10 x S3 (small group id <60, 11>)
Aut   = (C10 x S3) : C2 (small group id <120, 13>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y2)^2, (R * Y1)^2, R * Y3 * R * Y2, Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1, Y1^3 * Y2 * Y1 * Y3 * Y1, Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1, Y2 * Y1^2 * Y3 * Y1^-1 * Y2 * Y1 * Y3 * Y1^-2, Y3 * Y1 * Y2 * Y1^-2 * Y3 * Y1^2 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 62, 2, 66, 6, 77, 17, 90, 30, 106, 46, 118, 58, 110, 50, 115, 55, 119, 59, 111, 51, 86, 26, 104, 44, 113, 53, 88, 28, 70, 10, 81, 21, 101, 41, 114, 54, 89, 29, 105, 45, 117, 57, 109, 49, 116, 56, 120, 60, 112, 52, 87, 27, 100, 40, 76, 16, 65, 5, 61)(3, 69, 9, 85, 25, 97, 37, 75, 15, 96, 36, 103, 43, 79, 19, 98, 38, 107, 47, 82, 22, 67, 7, 80, 20, 93, 33, 73, 13, 64, 4, 72, 12, 92, 32, 95, 35, 74, 14, 94, 34, 102, 42, 78, 18, 99, 39, 108, 48, 84, 24, 68, 8, 83, 23, 91, 31, 71, 11, 63)
	L = (1, 3)(2, 7)(4, 10)(5, 14)(6, 18)(8, 21)(9, 26)(11, 29)(12, 27)(13, 30)(15, 28)(16, 38)(17, 37)(19, 41)(20, 44)(22, 45)(23, 40)(24, 46)(25, 49)(31, 55)(32, 50)(33, 56)(34, 51)(35, 54)(36, 52)(39, 53)(42, 57)(43, 58)(47, 59)(48, 60)(61, 64)(62, 68)(63, 70)(65, 75)(66, 79)(67, 81)(69, 87)(71, 90)(72, 86)(73, 89)(74, 88)(76, 99)(77, 95)(78, 101)(80, 100)(82, 106)(83, 104)(84, 105)(85, 110)(91, 116)(92, 109)(93, 115)(94, 112)(96, 111)(97, 114)(98, 113)(102, 118)(103, 117)(107, 120)(108, 119)
	local type(s) :: { ( 30^60 ) }
Outer automorphisms :: reflexible
Dual of E28.1407
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 60 f = 4
	degree seq :: [ 60^2 ]

E28.1407 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 15, 30})
Quotient :: halfedge^2
Aut^+ = C10 x S3 (small group id <60, 11>)
Aut   = (C10 x S3) : C2 (small group id <120, 13>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y2)^2, (R * Y1)^2, R * Y3 * R * Y2, Y1^-1 * Y2 * Y3 * Y1 * Y2 * Y3, Y1^2 * Y2 * Y1 * Y2 * Y1^2, Y3 * Y1^3 * Y3 * Y1^-3, Y2 * Y1^2 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 62, 2, 66, 6, 77, 17, 89, 29, 105, 45, 117, 57, 109, 49, 115, 55, 119, 59, 111, 51, 86, 26, 100, 40, 76, 16, 65, 5, 61)(3, 69, 9, 85, 25, 95, 35, 74, 14, 94, 34, 102, 42, 78, 18, 98, 38, 107, 47, 82, 22, 67, 7, 80, 20, 91, 31, 71, 11, 63)(4, 72, 12, 92, 32, 97, 37, 75, 15, 96, 36, 103, 43, 79, 19, 99, 39, 108, 48, 84, 24, 68, 8, 83, 23, 93, 33, 73, 13, 64)(10, 81, 21, 101, 41, 114, 54, 90, 30, 106, 46, 118, 58, 110, 50, 116, 56, 120, 60, 112, 52, 87, 27, 104, 44, 113, 53, 88, 28, 70)
	L = (1, 3)(2, 7)(4, 10)(5, 14)(6, 18)(8, 21)(9, 26)(11, 29)(12, 27)(13, 30)(15, 28)(16, 38)(17, 35)(19, 41)(20, 40)(22, 45)(23, 44)(24, 46)(25, 49)(31, 55)(32, 50)(33, 56)(34, 51)(36, 52)(37, 54)(39, 53)(42, 57)(43, 58)(47, 59)(48, 60)(61, 64)(62, 68)(63, 70)(65, 75)(66, 79)(67, 81)(69, 87)(71, 90)(72, 86)(73, 89)(74, 88)(76, 99)(77, 97)(78, 101)(80, 104)(82, 106)(83, 100)(84, 105)(85, 110)(91, 116)(92, 109)(93, 115)(94, 112)(95, 114)(96, 111)(98, 113)(102, 118)(103, 117)(107, 120)(108, 119)
	local type(s) :: { ( 60^30 ) }
Outer automorphisms :: reflexible
Dual of E28.1406
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 60 f = 2
	degree seq :: [ 30^4 ]

E28.1408 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 15, 30})
Quotient :: edge^2
Aut^+ = C10 x S3 (small group id <60, 11>)
Aut   = (C10 x S3) : C2 (small group id <120, 13>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y3^-1 * Y2 * Y1 * Y3 * Y1, Y3^2 * Y2 * Y3 * Y2 * Y3^2 ]
Map::
	R = (1, 61, 4, 64, 13, 73, 33, 93, 22, 82, 48, 108, 59, 119, 46, 106, 51, 111, 57, 117, 43, 103, 19, 79, 40, 100, 16, 76, 5, 65)(2, 62, 7, 67, 21, 81, 35, 95, 14, 74, 34, 94, 55, 115, 31, 91, 38, 98, 53, 113, 28, 88, 11, 71, 27, 87, 24, 84, 8, 68)(3, 63, 9, 69, 25, 85, 37, 97, 15, 75, 36, 96, 56, 116, 32, 92, 39, 99, 54, 114, 30, 90, 12, 72, 29, 89, 26, 86, 10, 70)(6, 66, 17, 77, 41, 101, 50, 110, 23, 83, 49, 109, 60, 120, 47, 107, 52, 112, 58, 118, 45, 105, 20, 80, 44, 104, 42, 102, 18, 78)(121, 122)(123, 126)(124, 131)(125, 134)(127, 139)(128, 142)(129, 140)(130, 143)(132, 137)(133, 151)(135, 138)(136, 158)(141, 166)(144, 171)(145, 167)(146, 172)(147, 160)(148, 168)(149, 164)(150, 169)(152, 161)(153, 155)(154, 163)(156, 165)(157, 170)(159, 162)(173, 177)(174, 178)(175, 179)(176, 180)(181, 183)(182, 186)(184, 192)(185, 195)(187, 200)(188, 203)(189, 199)(190, 202)(191, 197)(193, 212)(194, 198)(196, 219)(201, 227)(204, 232)(205, 226)(206, 231)(207, 224)(208, 229)(209, 220)(210, 228)(211, 221)(213, 217)(214, 225)(215, 230)(216, 223)(218, 222)(233, 238)(234, 237)(235, 240)(236, 239)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 120, 120 ), ( 120^30 ) }
Outer automorphisms :: reflexible
Dual of E28.1411
Graph:: simple bipartite
	v = 64 e = 120 f = 2
	degree seq :: [ 2^60, 30^4 ]

E28.1409 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 15, 30})
Quotient :: edge^2
Aut^+ = C10 x S3 (small group id <60, 11>)
Aut   = (C10 x S3) : C2 (small group id <120, 13>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, (R * Y3)^2, R * Y2 * R * Y1, Y2 * Y3 * Y2 * Y1 * Y3^-1 * Y1, Y2 * Y3^4 * Y1 * Y3, Y3 * Y2 * Y3^-2 * Y2 * Y3 * Y1 * Y3^-1 * Y1 * Y3 ]
Map::
	R = (1, 61, 4, 64, 13, 73, 33, 93, 23, 83, 50, 110, 60, 120, 47, 107, 51, 111, 57, 117, 44, 104, 19, 79, 43, 103, 42, 102, 18, 78, 6, 66, 17, 77, 41, 101, 49, 109, 22, 82, 48, 108, 59, 119, 46, 106, 52, 112, 58, 118, 45, 105, 20, 80, 40, 100, 16, 76, 5, 65)(2, 62, 7, 67, 21, 81, 37, 97, 15, 75, 36, 96, 56, 116, 32, 92, 38, 98, 53, 113, 28, 88, 11, 71, 27, 87, 26, 86, 10, 70, 3, 63, 9, 69, 25, 85, 35, 95, 14, 74, 34, 94, 55, 115, 31, 91, 39, 99, 54, 114, 30, 90, 12, 72, 29, 89, 24, 84, 8, 68)(121, 122)(123, 126)(124, 131)(125, 134)(127, 139)(128, 142)(129, 140)(130, 143)(132, 137)(133, 151)(135, 138)(136, 158)(141, 166)(144, 171)(145, 167)(146, 172)(147, 163)(148, 168)(149, 160)(150, 170)(152, 161)(153, 157)(154, 164)(155, 169)(156, 165)(159, 162)(173, 177)(174, 178)(175, 179)(176, 180)(181, 183)(182, 186)(184, 192)(185, 195)(187, 200)(188, 203)(189, 199)(190, 202)(191, 197)(193, 212)(194, 198)(196, 219)(201, 227)(204, 232)(205, 226)(206, 231)(207, 220)(208, 230)(209, 223)(210, 228)(211, 221)(213, 215)(214, 225)(216, 224)(217, 229)(218, 222)(233, 238)(234, 237)(235, 240)(236, 239)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 60, 60 ), ( 60^60 ) }
Outer automorphisms :: reflexible
Dual of E28.1410
Graph:: simple bipartite
	v = 62 e = 120 f = 4
	degree seq :: [ 2^60, 60^2 ]

E28.1410 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 15, 30})
Quotient :: loop^2
Aut^+ = C10 x S3 (small group id <60, 11>)
Aut   = (C10 x S3) : C2 (small group id <120, 13>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y3^-1 * Y2 * Y1 * Y3 * Y1, Y3^2 * Y2 * Y3 * Y2 * Y3^2 ]
Map::
	R = (1, 61, 121, 181, 4, 64, 124, 184, 13, 73, 133, 193, 33, 93, 153, 213, 22, 82, 142, 202, 48, 108, 168, 228, 59, 119, 179, 239, 46, 106, 166, 226, 51, 111, 171, 231, 57, 117, 177, 237, 43, 103, 163, 223, 19, 79, 139, 199, 40, 100, 160, 220, 16, 76, 136, 196, 5, 65, 125, 185)(2, 62, 122, 182, 7, 67, 127, 187, 21, 81, 141, 201, 35, 95, 155, 215, 14, 74, 134, 194, 34, 94, 154, 214, 55, 115, 175, 235, 31, 91, 151, 211, 38, 98, 158, 218, 53, 113, 173, 233, 28, 88, 148, 208, 11, 71, 131, 191, 27, 87, 147, 207, 24, 84, 144, 204, 8, 68, 128, 188)(3, 63, 123, 183, 9, 69, 129, 189, 25, 85, 145, 205, 37, 97, 157, 217, 15, 75, 135, 195, 36, 96, 156, 216, 56, 116, 176, 236, 32, 92, 152, 212, 39, 99, 159, 219, 54, 114, 174, 234, 30, 90, 150, 210, 12, 72, 132, 192, 29, 89, 149, 209, 26, 86, 146, 206, 10, 70, 130, 190)(6, 66, 126, 186, 17, 77, 137, 197, 41, 101, 161, 221, 50, 110, 170, 230, 23, 83, 143, 203, 49, 109, 169, 229, 60, 120, 180, 240, 47, 107, 167, 227, 52, 112, 172, 232, 58, 118, 178, 238, 45, 105, 165, 225, 20, 80, 140, 200, 44, 104, 164, 224, 42, 102, 162, 222, 18, 78, 138, 198)
	L = (1, 62)(2, 61)(3, 66)(4, 71)(5, 74)(6, 63)(7, 79)(8, 82)(9, 80)(10, 83)(11, 64)(12, 77)(13, 91)(14, 65)(15, 78)(16, 98)(17, 72)(18, 75)(19, 67)(20, 69)(21, 106)(22, 68)(23, 70)(24, 111)(25, 107)(26, 112)(27, 100)(28, 108)(29, 104)(30, 109)(31, 73)(32, 101)(33, 95)(34, 103)(35, 93)(36, 105)(37, 110)(38, 76)(39, 102)(40, 87)(41, 92)(42, 99)(43, 94)(44, 89)(45, 96)(46, 81)(47, 85)(48, 88)(49, 90)(50, 97)(51, 84)(52, 86)(53, 117)(54, 118)(55, 119)(56, 120)(57, 113)(58, 114)(59, 115)(60, 116)(121, 183)(122, 186)(123, 181)(124, 192)(125, 195)(126, 182)(127, 200)(128, 203)(129, 199)(130, 202)(131, 197)(132, 184)(133, 212)(134, 198)(135, 185)(136, 219)(137, 191)(138, 194)(139, 189)(140, 187)(141, 227)(142, 190)(143, 188)(144, 232)(145, 226)(146, 231)(147, 224)(148, 229)(149, 220)(150, 228)(151, 221)(152, 193)(153, 217)(154, 225)(155, 230)(156, 223)(157, 213)(158, 222)(159, 196)(160, 209)(161, 211)(162, 218)(163, 216)(164, 207)(165, 214)(166, 205)(167, 201)(168, 210)(169, 208)(170, 215)(171, 206)(172, 204)(173, 238)(174, 237)(175, 240)(176, 239)(177, 234)(178, 233)(179, 236)(180, 235)
	local type(s) :: { ( 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.1409
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 120 f = 62
	degree seq :: [ 60^4 ]

E28.1411 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 15, 30})
Quotient :: loop^2
Aut^+ = C10 x S3 (small group id <60, 11>)
Aut   = (C10 x S3) : C2 (small group id <120, 13>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, (R * Y3)^2, R * Y2 * R * Y1, Y2 * Y3 * Y2 * Y1 * Y3^-1 * Y1, Y2 * Y3^4 * Y1 * Y3, Y3 * Y2 * Y3^-2 * Y2 * Y3 * Y1 * Y3^-1 * Y1 * Y3 ]
Map::
	R = (1, 61, 121, 181, 4, 64, 124, 184, 13, 73, 133, 193, 33, 93, 153, 213, 23, 83, 143, 203, 50, 110, 170, 230, 60, 120, 180, 240, 47, 107, 167, 227, 51, 111, 171, 231, 57, 117, 177, 237, 44, 104, 164, 224, 19, 79, 139, 199, 43, 103, 163, 223, 42, 102, 162, 222, 18, 78, 138, 198, 6, 66, 126, 186, 17, 77, 137, 197, 41, 101, 161, 221, 49, 109, 169, 229, 22, 82, 142, 202, 48, 108, 168, 228, 59, 119, 179, 239, 46, 106, 166, 226, 52, 112, 172, 232, 58, 118, 178, 238, 45, 105, 165, 225, 20, 80, 140, 200, 40, 100, 160, 220, 16, 76, 136, 196, 5, 65, 125, 185)(2, 62, 122, 182, 7, 67, 127, 187, 21, 81, 141, 201, 37, 97, 157, 217, 15, 75, 135, 195, 36, 96, 156, 216, 56, 116, 176, 236, 32, 92, 152, 212, 38, 98, 158, 218, 53, 113, 173, 233, 28, 88, 148, 208, 11, 71, 131, 191, 27, 87, 147, 207, 26, 86, 146, 206, 10, 70, 130, 190, 3, 63, 123, 183, 9, 69, 129, 189, 25, 85, 145, 205, 35, 95, 155, 215, 14, 74, 134, 194, 34, 94, 154, 214, 55, 115, 175, 235, 31, 91, 151, 211, 39, 99, 159, 219, 54, 114, 174, 234, 30, 90, 150, 210, 12, 72, 132, 192, 29, 89, 149, 209, 24, 84, 144, 204, 8, 68, 128, 188)
	L = (1, 62)(2, 61)(3, 66)(4, 71)(5, 74)(6, 63)(7, 79)(8, 82)(9, 80)(10, 83)(11, 64)(12, 77)(13, 91)(14, 65)(15, 78)(16, 98)(17, 72)(18, 75)(19, 67)(20, 69)(21, 106)(22, 68)(23, 70)(24, 111)(25, 107)(26, 112)(27, 103)(28, 108)(29, 100)(30, 110)(31, 73)(32, 101)(33, 97)(34, 104)(35, 109)(36, 105)(37, 93)(38, 76)(39, 102)(40, 89)(41, 92)(42, 99)(43, 87)(44, 94)(45, 96)(46, 81)(47, 85)(48, 88)(49, 95)(50, 90)(51, 84)(52, 86)(53, 117)(54, 118)(55, 119)(56, 120)(57, 113)(58, 114)(59, 115)(60, 116)(121, 183)(122, 186)(123, 181)(124, 192)(125, 195)(126, 182)(127, 200)(128, 203)(129, 199)(130, 202)(131, 197)(132, 184)(133, 212)(134, 198)(135, 185)(136, 219)(137, 191)(138, 194)(139, 189)(140, 187)(141, 227)(142, 190)(143, 188)(144, 232)(145, 226)(146, 231)(147, 220)(148, 230)(149, 223)(150, 228)(151, 221)(152, 193)(153, 215)(154, 225)(155, 213)(156, 224)(157, 229)(158, 222)(159, 196)(160, 207)(161, 211)(162, 218)(163, 209)(164, 216)(165, 214)(166, 205)(167, 201)(168, 210)(169, 217)(170, 208)(171, 206)(172, 204)(173, 238)(174, 237)(175, 240)(176, 239)(177, 234)(178, 233)(179, 236)(180, 235)
	local type(s) :: { ( 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30 ) }
Outer automorphisms :: reflexible
Dual of E28.1408
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 120 f = 64
	degree seq :: [ 120^2 ]

E28.1412 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 15, 30})
Quotient :: halfedge^2
Aut^+ = D60 (small group id <60, 12>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y2 * Y3)^2, (Y1^-1 * Y2)^2, (R * Y1)^2, R * Y2 * R * Y3, (Y3 * Y1)^2, Y1^-13 * Y2 * Y1^2 * Y3, Y1^7 * Y2 * Y1^-8 * Y3 ]
Map:: non-degenerate
	R = (1, 62, 2, 66, 6, 73, 13, 81, 21, 89, 29, 97, 37, 105, 45, 113, 53, 118, 58, 110, 50, 102, 42, 94, 34, 86, 26, 78, 18, 70, 10, 76, 16, 84, 24, 92, 32, 100, 40, 108, 48, 116, 56, 120, 60, 112, 52, 104, 44, 96, 36, 88, 28, 80, 20, 72, 12, 65, 5, 61)(3, 69, 9, 77, 17, 85, 25, 93, 33, 101, 41, 109, 49, 117, 57, 115, 55, 107, 47, 99, 39, 91, 31, 83, 23, 75, 15, 68, 8, 64, 4, 71, 11, 79, 19, 87, 27, 95, 35, 103, 43, 111, 51, 119, 59, 114, 54, 106, 46, 98, 38, 90, 30, 82, 22, 74, 14, 67, 7, 63)
	L = (1, 3)(2, 7)(4, 10)(5, 9)(6, 14)(8, 16)(11, 18)(12, 17)(13, 22)(15, 24)(19, 26)(20, 25)(21, 30)(23, 32)(27, 34)(28, 33)(29, 38)(31, 40)(35, 42)(36, 41)(37, 46)(39, 48)(43, 50)(44, 49)(45, 54)(47, 56)(51, 58)(52, 57)(53, 59)(55, 60)(61, 64)(62, 68)(63, 70)(65, 71)(66, 75)(67, 76)(69, 78)(72, 79)(73, 83)(74, 84)(77, 86)(80, 87)(81, 91)(82, 92)(85, 94)(88, 95)(89, 99)(90, 100)(93, 102)(96, 103)(97, 107)(98, 108)(101, 110)(104, 111)(105, 115)(106, 116)(109, 118)(112, 119)(113, 117)(114, 120)
	local type(s) :: { ( 30^60 ) }
Outer automorphisms :: reflexible
Dual of E28.1416
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 60 f = 4
	degree seq :: [ 60^2 ]

E28.1413 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 15, 30})
Quotient :: halfedge^2
Aut^+ = D60 (small group id <60, 12>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y2 * Y1^-1)^2, (R * Y1)^2, (Y3 * Y1)^2, Y1 * Y3 * Y1^-2 * Y2, (Y2 * Y3)^10, Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 62, 2, 66, 6, 70, 10, 75, 15, 80, 20, 82, 22, 87, 27, 92, 32, 94, 34, 99, 39, 104, 44, 106, 46, 111, 51, 116, 56, 118, 58, 119, 59, 114, 54, 109, 49, 107, 47, 102, 42, 97, 37, 95, 35, 90, 30, 85, 25, 83, 23, 78, 18, 72, 12, 73, 13, 65, 5, 61)(3, 69, 9, 68, 8, 64, 4, 71, 11, 77, 17, 79, 19, 84, 24, 89, 29, 91, 31, 96, 36, 101, 41, 103, 43, 108, 48, 113, 53, 115, 55, 120, 60, 117, 57, 112, 52, 110, 50, 105, 45, 100, 40, 98, 38, 93, 33, 88, 28, 86, 26, 81, 21, 76, 16, 74, 14, 67, 7, 63)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 14)(8, 13)(10, 16)(11, 18)(15, 21)(17, 23)(19, 25)(20, 26)(22, 28)(24, 30)(27, 33)(29, 35)(31, 37)(32, 38)(34, 40)(36, 42)(39, 45)(41, 47)(43, 49)(44, 50)(46, 52)(48, 54)(51, 57)(53, 59)(55, 58)(56, 60)(61, 64)(62, 68)(63, 70)(65, 71)(66, 69)(67, 75)(72, 79)(73, 77)(74, 80)(76, 82)(78, 84)(81, 87)(83, 89)(85, 91)(86, 92)(88, 94)(90, 96)(93, 99)(95, 101)(97, 103)(98, 104)(100, 106)(102, 108)(105, 111)(107, 113)(109, 115)(110, 116)(112, 118)(114, 120)(117, 119)
	local type(s) :: { ( 30^60 ) }
Outer automorphisms :: reflexible
Dual of E28.1418
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 60 f = 4
	degree seq :: [ 60^2 ]

E28.1414 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 15, 30})
Quotient :: halfedge^2
Aut^+ = D60 (small group id <60, 12>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y1^-1)^2, R * Y3 * R * Y2, (R * Y1)^2, (Y1^-1 * Y2)^2, Y2 * Y1^5 * Y3, (Y3 * Y2)^6, Y2 * Y3 * Y1^3 * Y2 * Y3 * Y1^3 * Y2 * Y3 * Y2 * Y1 * Y3 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 62, 2, 66, 6, 74, 14, 80, 20, 70, 10, 77, 17, 87, 27, 96, 36, 100, 40, 91, 31, 98, 38, 107, 47, 115, 55, 118, 58, 111, 51, 117, 57, 119, 59, 113, 53, 104, 44, 95, 35, 99, 39, 102, 42, 93, 33, 83, 23, 72, 12, 78, 18, 85, 25, 73, 13, 65, 5, 61)(3, 69, 9, 79, 19, 76, 16, 68, 8, 64, 4, 71, 11, 82, 22, 92, 32, 89, 29, 84, 24, 94, 34, 103, 43, 112, 52, 109, 49, 105, 45, 114, 54, 120, 60, 116, 56, 108, 48, 101, 41, 110, 50, 106, 46, 97, 37, 88, 28, 81, 21, 90, 30, 86, 26, 75, 15, 67, 7, 63)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 26)(16, 25)(17, 28)(20, 30)(22, 33)(24, 35)(27, 37)(29, 39)(31, 41)(32, 42)(34, 44)(36, 46)(38, 48)(40, 50)(43, 53)(45, 51)(47, 56)(49, 57)(52, 59)(54, 58)(55, 60)(61, 64)(62, 68)(63, 70)(65, 71)(66, 76)(67, 77)(69, 80)(72, 84)(73, 82)(74, 79)(75, 87)(78, 89)(81, 91)(83, 94)(85, 92)(86, 96)(88, 98)(90, 100)(93, 103)(95, 105)(97, 107)(99, 109)(101, 111)(102, 112)(104, 114)(106, 115)(108, 117)(110, 118)(113, 120)(116, 119)
	local type(s) :: { ( 30^60 ) }
Outer automorphisms :: reflexible
Dual of E28.1417
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 60 f = 4
	degree seq :: [ 60^2 ]

E28.1415 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 15, 30})
Quotient :: halfedge^2
Aut^+ = D60 (small group id <60, 12>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y2 * Y1^-1)^2, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y1)^2, Y1^4 * Y2 * Y1^-3 * Y3, Y3 * Y1^-2 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2, (Y2 * Y1 * Y3)^15 ]
Map:: non-degenerate
	R = (1, 62, 2, 66, 6, 74, 14, 86, 26, 98, 38, 83, 23, 72, 12, 78, 18, 90, 30, 103, 43, 113, 53, 118, 58, 112, 52, 100, 40, 107, 47, 96, 36, 106, 46, 115, 55, 116, 56, 109, 49, 94, 34, 80, 20, 70, 10, 77, 17, 89, 29, 101, 41, 85, 25, 73, 13, 65, 5, 61)(3, 69, 9, 79, 19, 93, 33, 108, 48, 104, 44, 91, 31, 81, 21, 95, 35, 110, 50, 117, 57, 120, 60, 119, 59, 114, 54, 105, 45, 92, 32, 84, 24, 99, 39, 111, 51, 102, 42, 88, 28, 76, 16, 68, 8, 64, 4, 71, 11, 82, 22, 97, 37, 87, 27, 75, 15, 67, 7, 63)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 27)(16, 30)(17, 31)(20, 35)(22, 38)(24, 40)(25, 33)(26, 37)(28, 43)(29, 44)(32, 47)(34, 50)(36, 45)(39, 52)(41, 48)(42, 53)(46, 54)(49, 57)(51, 58)(55, 59)(56, 60)(61, 64)(62, 68)(63, 70)(65, 71)(66, 76)(67, 77)(69, 80)(72, 84)(73, 82)(74, 88)(75, 89)(78, 92)(79, 94)(81, 96)(83, 99)(85, 97)(86, 102)(87, 101)(90, 105)(91, 106)(93, 109)(95, 107)(98, 111)(100, 110)(103, 114)(104, 115)(108, 116)(112, 117)(113, 119)(118, 120)
	local type(s) :: { ( 30^60 ) }
Outer automorphisms :: reflexible
Dual of E28.1419
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 60 f = 4
	degree seq :: [ 60^2 ]

E28.1416 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 15, 30})
Quotient :: halfedge^2
Aut^+ = D60 (small group id <60, 12>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y1^-1)^2, (Y1^-1 * Y2)^2, (R * Y1)^2, R * Y2 * R * Y3, (Y3 * Y2)^2, Y1^15 ]
Map:: non-degenerate
	R = (1, 62, 2, 66, 6, 73, 13, 81, 21, 89, 29, 97, 37, 105, 45, 112, 52, 104, 44, 96, 36, 88, 28, 80, 20, 72, 12, 65, 5, 61)(3, 69, 9, 77, 17, 85, 25, 93, 33, 101, 41, 109, 49, 116, 56, 113, 53, 106, 46, 98, 38, 90, 30, 82, 22, 74, 14, 67, 7, 63)(4, 71, 11, 79, 19, 87, 27, 95, 35, 103, 43, 111, 51, 118, 58, 114, 54, 107, 47, 99, 39, 91, 31, 83, 23, 75, 15, 68, 8, 64)(10, 76, 16, 84, 24, 92, 32, 100, 40, 108, 48, 115, 55, 119, 59, 120, 60, 117, 57, 110, 50, 102, 42, 94, 34, 86, 26, 78, 18, 70)
	L = (1, 3)(2, 7)(4, 10)(5, 9)(6, 14)(8, 16)(11, 18)(12, 17)(13, 22)(15, 24)(19, 26)(20, 25)(21, 30)(23, 32)(27, 34)(28, 33)(29, 38)(31, 40)(35, 42)(36, 41)(37, 46)(39, 48)(43, 50)(44, 49)(45, 53)(47, 55)(51, 57)(52, 56)(54, 59)(58, 60)(61, 64)(62, 68)(63, 70)(65, 71)(66, 75)(67, 76)(69, 78)(72, 79)(73, 83)(74, 84)(77, 86)(80, 87)(81, 91)(82, 92)(85, 94)(88, 95)(89, 99)(90, 100)(93, 102)(96, 103)(97, 107)(98, 108)(101, 110)(104, 111)(105, 114)(106, 115)(109, 117)(112, 118)(113, 119)(116, 120)
	local type(s) :: { ( 60^30 ) }
Outer automorphisms :: reflexible
Dual of E28.1412
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 60 f = 2
	degree seq :: [ 30^4 ]

E28.1417 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 15, 30})
Quotient :: halfedge^2
Aut^+ = D60 (small group id <60, 12>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y1 * Y3)^2, R * Y3 * R * Y2, (R * Y1)^2, (Y2 * Y1)^2, (Y1^2 * Y2)^2, Y2 * Y1 * Y2 * Y1^-1 * Y3 * Y1^-2 * Y3, Y1 * Y2 * Y1^-1 * Y3 * Y1 * Y2 * Y1^-2 * Y3, (Y3 * Y2)^6, Y1^2 * Y3 * Y1^-2 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y2 * Y3 * Y2, Y1 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1 * Y3 * Y1^-2 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 62, 2, 66, 6, 74, 14, 86, 26, 100, 40, 105, 45, 114, 54, 118, 58, 109, 49, 96, 36, 101, 41, 85, 25, 73, 13, 65, 5, 61)(3, 69, 9, 79, 19, 93, 33, 106, 46, 110, 50, 119, 59, 113, 53, 104, 44, 92, 32, 84, 24, 99, 39, 87, 27, 75, 15, 67, 7, 63)(4, 71, 11, 82, 22, 97, 37, 91, 31, 81, 21, 95, 35, 108, 48, 117, 57, 115, 55, 111, 51, 102, 42, 88, 28, 76, 16, 68, 8, 64)(10, 77, 17, 89, 29, 98, 38, 83, 23, 72, 12, 78, 18, 90, 30, 103, 43, 112, 52, 120, 60, 116, 56, 107, 47, 94, 34, 80, 20, 70)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 27)(16, 30)(17, 31)(20, 35)(22, 38)(24, 40)(25, 33)(26, 39)(28, 43)(29, 37)(32, 45)(34, 48)(36, 50)(41, 46)(42, 52)(44, 54)(47, 57)(49, 59)(51, 60)(53, 58)(55, 56)(61, 64)(62, 68)(63, 70)(65, 71)(66, 76)(67, 77)(69, 80)(72, 84)(73, 82)(74, 88)(75, 89)(78, 92)(79, 94)(81, 96)(83, 99)(85, 97)(86, 102)(87, 98)(90, 104)(91, 101)(93, 107)(95, 109)(100, 111)(103, 113)(105, 115)(106, 116)(108, 118)(110, 120)(112, 119)(114, 117)
	local type(s) :: { ( 60^30 ) }
Outer automorphisms :: reflexible
Dual of E28.1414
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 60 f = 2
	degree seq :: [ 30^4 ]

E28.1418 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 15, 30})
Quotient :: halfedge^2
Aut^+ = D60 (small group id <60, 12>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y1 * Y3)^2, (Y2 * Y1^-1)^2, (R * Y1)^2, R * Y2 * R * Y3, Y3 * Y1^-1 * Y3 * Y2 * Y1 * Y2, Y3 * Y2 * Y3 * Y2 * Y1^3, Y3 * Y1^-1 * Y2 * Y3 * Y1^-2 * Y2, Y1^15 ]
Map:: non-degenerate
	R = (1, 62, 2, 66, 6, 74, 14, 86, 26, 94, 34, 102, 42, 110, 50, 117, 57, 109, 49, 101, 41, 93, 33, 85, 25, 73, 13, 65, 5, 61)(3, 69, 9, 79, 19, 84, 24, 92, 32, 100, 40, 108, 48, 116, 56, 118, 58, 111, 51, 103, 43, 95, 35, 87, 27, 75, 15, 67, 7, 63)(4, 71, 11, 82, 22, 90, 30, 98, 38, 106, 46, 114, 54, 120, 60, 113, 53, 105, 45, 97, 37, 89, 29, 81, 21, 76, 16, 68, 8, 64)(10, 77, 17, 88, 28, 96, 36, 104, 44, 112, 52, 119, 59, 115, 55, 107, 47, 99, 39, 91, 31, 83, 23, 72, 12, 78, 18, 80, 20, 70)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 27)(16, 20)(17, 29)(22, 31)(24, 25)(26, 35)(28, 37)(30, 39)(32, 33)(34, 43)(36, 45)(38, 47)(40, 41)(42, 51)(44, 53)(46, 55)(48, 49)(50, 58)(52, 60)(54, 59)(56, 57)(61, 64)(62, 68)(63, 70)(65, 71)(66, 76)(67, 77)(69, 80)(72, 84)(73, 82)(74, 81)(75, 88)(78, 79)(83, 92)(85, 90)(86, 89)(87, 96)(91, 100)(93, 98)(94, 97)(95, 104)(99, 108)(101, 106)(102, 105)(103, 112)(107, 116)(109, 114)(110, 113)(111, 119)(115, 118)(117, 120)
	local type(s) :: { ( 60^30 ) }
Outer automorphisms :: reflexible
Dual of E28.1413
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 60 f = 2
	degree seq :: [ 30^4 ]

E28.1419 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 15, 30})
Quotient :: halfedge^2
Aut^+ = D60 (small group id <60, 12>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y1^-1)^2, R * Y3 * R * Y2, (R * Y1)^2, (Y2 * Y1)^2, Y3 * Y1^2 * Y2 * Y3 * Y2, Y1^15, Y1^6 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-6 * Y2, Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-4 ]
Map:: non-degenerate
	R = (1, 62, 2, 66, 6, 74, 14, 83, 23, 91, 31, 99, 39, 107, 47, 114, 54, 106, 46, 98, 38, 90, 30, 82, 22, 73, 13, 65, 5, 61)(3, 69, 9, 79, 19, 87, 27, 95, 35, 103, 43, 111, 51, 118, 58, 115, 55, 108, 48, 100, 40, 92, 32, 84, 24, 75, 15, 67, 7, 63)(4, 71, 11, 81, 21, 89, 29, 97, 37, 105, 45, 113, 53, 120, 60, 116, 56, 109, 49, 101, 41, 93, 33, 85, 25, 76, 16, 68, 8, 64)(10, 77, 17, 72, 12, 78, 18, 86, 26, 94, 34, 102, 42, 110, 50, 117, 57, 119, 59, 112, 52, 104, 44, 96, 36, 88, 28, 80, 20, 70)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 17)(13, 19)(14, 24)(16, 26)(20, 29)(22, 27)(23, 32)(25, 34)(28, 37)(30, 35)(31, 40)(33, 42)(36, 45)(38, 43)(39, 48)(41, 50)(44, 53)(46, 51)(47, 55)(49, 57)(52, 60)(54, 58)(56, 59)(61, 64)(62, 68)(63, 70)(65, 71)(66, 76)(67, 77)(69, 80)(72, 75)(73, 81)(74, 85)(78, 84)(79, 88)(82, 89)(83, 93)(86, 92)(87, 96)(90, 97)(91, 101)(94, 100)(95, 104)(98, 105)(99, 109)(102, 108)(103, 112)(106, 113)(107, 116)(110, 115)(111, 119)(114, 120)(117, 118)
	local type(s) :: { ( 60^30 ) }
Outer automorphisms :: reflexible
Dual of E28.1415
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 60 f = 2
	degree seq :: [ 30^4 ]

E28.1420 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 15, 30})
Quotient :: edge^2
Aut^+ = D60 (small group id <60, 12>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y2 * Y1)^2, (Y3^-1 * Y2)^2, (Y3 * Y1)^2, Y3^15, Y3^2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 61, 4, 64, 11, 71, 19, 79, 27, 87, 35, 95, 43, 103, 51, 111, 52, 112, 44, 104, 36, 96, 28, 88, 20, 80, 12, 72, 5, 65)(2, 62, 7, 67, 15, 75, 23, 83, 31, 91, 39, 99, 47, 107, 55, 115, 56, 116, 48, 108, 40, 100, 32, 92, 24, 84, 16, 76, 8, 68)(3, 63, 9, 69, 17, 77, 25, 85, 33, 93, 41, 101, 49, 109, 57, 117, 58, 118, 50, 110, 42, 102, 34, 94, 26, 86, 18, 78, 10, 70)(6, 66, 13, 73, 21, 81, 29, 89, 37, 97, 45, 105, 53, 113, 59, 119, 60, 120, 54, 114, 46, 106, 38, 98, 30, 90, 22, 82, 14, 74)(121, 122)(123, 126)(124, 128)(125, 127)(129, 134)(130, 133)(131, 136)(132, 135)(137, 142)(138, 141)(139, 144)(140, 143)(145, 150)(146, 149)(147, 152)(148, 151)(153, 158)(154, 157)(155, 160)(156, 159)(161, 166)(162, 165)(163, 168)(164, 167)(169, 174)(170, 173)(171, 176)(172, 175)(177, 180)(178, 179)(181, 183)(182, 186)(184, 190)(185, 189)(187, 194)(188, 193)(191, 198)(192, 197)(195, 202)(196, 201)(199, 206)(200, 205)(203, 210)(204, 209)(207, 214)(208, 213)(211, 218)(212, 217)(215, 222)(216, 221)(219, 226)(220, 225)(223, 230)(224, 229)(227, 234)(228, 233)(231, 238)(232, 237)(235, 240)(236, 239)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 120, 120 ), ( 120^30 ) }
Outer automorphisms :: reflexible
Dual of E28.1432
Graph:: simple bipartite
	v = 64 e = 120 f = 2
	degree seq :: [ 2^60, 30^4 ]

E28.1421 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 15, 30})
Quotient :: edge^2
Aut^+ = D60 (small group id <60, 12>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y3)^2, R * Y2 * R * Y1, (Y3^-1 * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2 * Y3^3 * Y1, Y3^15, Y3^5 * Y2 * Y3^-7 * Y1 * Y2 * Y1, (Y3 * Y1 * Y2)^30 ]
Map::
	R = (1, 61, 4, 64, 12, 72, 24, 84, 32, 92, 40, 100, 48, 108, 56, 116, 57, 117, 49, 109, 41, 101, 33, 93, 25, 85, 13, 73, 5, 65)(2, 62, 7, 67, 17, 77, 28, 88, 36, 96, 44, 104, 52, 112, 60, 120, 53, 113, 45, 105, 37, 97, 29, 89, 19, 79, 18, 78, 8, 68)(3, 63, 10, 70, 22, 82, 14, 74, 26, 86, 34, 94, 42, 102, 50, 110, 58, 118, 55, 115, 47, 107, 39, 99, 31, 91, 23, 83, 11, 71)(6, 66, 15, 75, 21, 81, 9, 69, 20, 80, 30, 90, 38, 98, 46, 106, 54, 114, 59, 119, 51, 111, 43, 103, 35, 95, 27, 87, 16, 76)(121, 122)(123, 129)(124, 128)(125, 127)(126, 134)(130, 141)(131, 140)(132, 138)(133, 137)(135, 142)(136, 146)(139, 144)(143, 150)(145, 148)(147, 154)(149, 152)(151, 158)(153, 156)(155, 162)(157, 160)(159, 166)(161, 164)(163, 170)(165, 168)(167, 174)(169, 172)(171, 178)(173, 176)(175, 179)(177, 180)(181, 183)(182, 186)(184, 191)(185, 190)(187, 196)(188, 195)(189, 199)(192, 203)(193, 202)(194, 205)(197, 207)(198, 201)(200, 209)(204, 211)(206, 213)(208, 215)(210, 217)(212, 219)(214, 221)(216, 223)(218, 225)(220, 227)(222, 229)(224, 231)(226, 233)(228, 235)(230, 237)(232, 239)(234, 240)(236, 238)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 120, 120 ), ( 120^30 ) }
Outer automorphisms :: reflexible
Dual of E28.1434
Graph:: simple bipartite
	v = 64 e = 120 f = 2
	degree seq :: [ 2^60, 30^4 ]

E28.1422 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 15, 30})
Quotient :: edge^2
Aut^+ = D60 (small group id <60, 12>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, (Y3^-1 * Y1)^2, Y3^3 * Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y3, (Y1 * Y2)^6, (Y3 * Y1 * Y2)^30 ]
Map::
	R = (1, 61, 4, 64, 12, 72, 24, 84, 40, 100, 26, 86, 43, 103, 54, 114, 58, 118, 48, 108, 33, 93, 41, 101, 25, 85, 13, 73, 5, 65)(2, 62, 7, 67, 17, 77, 31, 91, 35, 95, 19, 79, 34, 94, 49, 109, 59, 119, 53, 113, 42, 102, 46, 106, 32, 92, 18, 78, 8, 68)(3, 63, 10, 70, 22, 82, 38, 98, 51, 111, 47, 107, 57, 117, 55, 115, 44, 104, 28, 88, 14, 74, 27, 87, 39, 99, 23, 83, 11, 71)(6, 66, 15, 75, 29, 89, 45, 105, 56, 116, 52, 112, 60, 120, 50, 110, 37, 97, 21, 81, 9, 69, 20, 80, 36, 96, 30, 90, 16, 76)(121, 122)(123, 129)(124, 128)(125, 127)(126, 134)(130, 141)(131, 140)(132, 138)(133, 137)(135, 148)(136, 147)(139, 153)(142, 157)(143, 156)(144, 152)(145, 151)(146, 162)(149, 164)(150, 159)(154, 168)(155, 161)(158, 170)(160, 166)(163, 173)(165, 175)(167, 172)(169, 178)(171, 180)(174, 179)(176, 177)(181, 183)(182, 186)(184, 191)(185, 190)(187, 196)(188, 195)(189, 199)(192, 203)(193, 202)(194, 206)(197, 210)(198, 209)(200, 215)(201, 214)(204, 219)(205, 218)(207, 220)(208, 223)(211, 216)(212, 225)(213, 227)(217, 229)(221, 231)(222, 232)(224, 234)(226, 236)(228, 237)(230, 239)(233, 240)(235, 238)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 120, 120 ), ( 120^30 ) }
Outer automorphisms :: reflexible
Dual of E28.1433
Graph:: simple bipartite
	v = 64 e = 120 f = 2
	degree seq :: [ 2^60, 30^4 ]

E28.1423 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 15, 30})
Quotient :: edge^2
Aut^+ = D60 (small group id <60, 12>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y2)^2, (Y3 * Y1)^2, Y2 * Y3 * Y1 * Y3^-1 * Y2 * Y3^4 * Y1, Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y3^-2 * Y1 * Y2, Y3^3 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 ]
Map::
	R = (1, 61, 4, 64, 12, 72, 24, 84, 40, 100, 53, 113, 33, 93, 52, 112, 44, 104, 26, 86, 43, 103, 41, 101, 25, 85, 13, 73, 5, 65)(2, 62, 7, 67, 17, 77, 31, 91, 49, 109, 57, 117, 42, 102, 54, 114, 35, 95, 19, 79, 34, 94, 50, 110, 32, 92, 18, 78, 8, 68)(3, 63, 10, 70, 22, 82, 38, 98, 46, 106, 28, 88, 14, 74, 27, 87, 45, 105, 51, 111, 59, 119, 56, 116, 39, 99, 23, 83, 11, 71)(6, 66, 15, 75, 29, 89, 47, 107, 37, 97, 21, 81, 9, 69, 20, 80, 36, 96, 55, 115, 60, 120, 58, 118, 48, 108, 30, 90, 16, 76)(121, 122)(123, 129)(124, 128)(125, 127)(126, 134)(130, 141)(131, 140)(132, 138)(133, 137)(135, 148)(136, 147)(139, 153)(142, 157)(143, 156)(144, 152)(145, 151)(146, 162)(149, 166)(150, 165)(154, 173)(155, 172)(158, 167)(159, 175)(160, 170)(161, 169)(163, 177)(164, 174)(168, 171)(176, 180)(178, 179)(181, 183)(182, 186)(184, 191)(185, 190)(187, 196)(188, 195)(189, 199)(192, 203)(193, 202)(194, 206)(197, 210)(198, 209)(200, 215)(201, 214)(204, 219)(205, 218)(207, 224)(208, 223)(211, 228)(212, 227)(213, 231)(216, 234)(217, 230)(220, 236)(221, 226)(222, 235)(225, 232)(229, 238)(233, 239)(237, 240)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 120, 120 ), ( 120^30 ) }
Outer automorphisms :: reflexible
Dual of E28.1435
Graph:: simple bipartite
	v = 64 e = 120 f = 2
	degree seq :: [ 2^60, 30^4 ]

E28.1424 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 15, 30})
Quotient :: edge^2
Aut^+ = D60 (small group id <60, 12>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3 * Y2)^2, Y2 * Y1 * Y3^15, (Y3 * Y1 * Y2)^15 ]
Map::
	R = (1, 61, 4, 64, 11, 71, 19, 79, 27, 87, 35, 95, 43, 103, 51, 111, 59, 119, 54, 114, 46, 106, 38, 98, 30, 90, 22, 82, 14, 74, 6, 66, 13, 73, 21, 81, 29, 89, 37, 97, 45, 105, 53, 113, 60, 120, 52, 112, 44, 104, 36, 96, 28, 88, 20, 80, 12, 72, 5, 65)(2, 62, 7, 67, 15, 75, 23, 83, 31, 91, 39, 99, 47, 107, 55, 115, 58, 118, 50, 110, 42, 102, 34, 94, 26, 86, 18, 78, 10, 70, 3, 63, 9, 69, 17, 77, 25, 85, 33, 93, 41, 101, 49, 109, 57, 117, 56, 116, 48, 108, 40, 100, 32, 92, 24, 84, 16, 76, 8, 68)(121, 122)(123, 126)(124, 128)(125, 127)(129, 134)(130, 133)(131, 136)(132, 135)(137, 142)(138, 141)(139, 144)(140, 143)(145, 150)(146, 149)(147, 152)(148, 151)(153, 158)(154, 157)(155, 160)(156, 159)(161, 166)(162, 165)(163, 168)(164, 167)(169, 174)(170, 173)(171, 176)(172, 175)(177, 179)(178, 180)(181, 183)(182, 186)(184, 190)(185, 189)(187, 194)(188, 193)(191, 198)(192, 197)(195, 202)(196, 201)(199, 206)(200, 205)(203, 210)(204, 209)(207, 214)(208, 213)(211, 218)(212, 217)(215, 222)(216, 221)(219, 226)(220, 225)(223, 230)(224, 229)(227, 234)(228, 233)(231, 238)(232, 237)(235, 239)(236, 240)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 60, 60 ), ( 60^60 ) }
Outer automorphisms :: reflexible
Dual of E28.1428
Graph:: simple bipartite
	v = 62 e = 120 f = 4
	degree seq :: [ 2^60, 60^2 ]

E28.1425 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 15, 30})
Quotient :: edge^2
Aut^+ = D60 (small group id <60, 12>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y2)^2, (Y1 * Y3)^2, Y1 * Y3^-5 * Y2, (Y2 * Y1)^6, Y3^-2 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y1 * Y2 ]
Map::
	R = (1, 61, 4, 64, 12, 72, 24, 84, 21, 81, 9, 69, 20, 80, 34, 94, 45, 105, 43, 103, 31, 91, 42, 102, 53, 113, 60, 120, 56, 116, 46, 106, 55, 115, 58, 118, 49, 109, 38, 98, 26, 86, 37, 97, 40, 100, 29, 89, 16, 76, 6, 66, 15, 75, 25, 85, 13, 73, 5, 65)(2, 62, 7, 67, 17, 77, 30, 90, 28, 88, 14, 74, 27, 87, 39, 99, 50, 110, 48, 108, 36, 96, 47, 107, 57, 117, 59, 119, 52, 112, 41, 101, 51, 111, 54, 114, 44, 104, 33, 93, 19, 79, 32, 92, 35, 95, 23, 83, 11, 71, 3, 63, 10, 70, 22, 82, 18, 78, 8, 68)(121, 122)(123, 129)(124, 128)(125, 127)(126, 134)(130, 141)(131, 140)(132, 138)(133, 137)(135, 148)(136, 147)(139, 151)(142, 144)(143, 154)(145, 150)(146, 156)(149, 159)(152, 163)(153, 162)(155, 165)(157, 168)(158, 167)(160, 170)(161, 166)(164, 173)(169, 177)(171, 176)(172, 175)(174, 180)(178, 179)(181, 183)(182, 186)(184, 191)(185, 190)(187, 196)(188, 195)(189, 199)(192, 203)(193, 202)(194, 206)(197, 209)(198, 205)(200, 213)(201, 212)(204, 215)(207, 218)(208, 217)(210, 220)(211, 221)(214, 224)(216, 226)(219, 229)(222, 232)(223, 231)(225, 234)(227, 236)(228, 235)(230, 238)(233, 239)(237, 240)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 60, 60 ), ( 60^60 ) }
Outer automorphisms :: reflexible
Dual of E28.1430
Graph:: simple bipartite
	v = 62 e = 120 f = 4
	degree seq :: [ 2^60, 60^2 ]

E28.1426 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 15, 30})
Quotient :: edge^2
Aut^+ = D60 (small group id <60, 12>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y3^-1)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y2)^2, Y2 * Y3^3 * Y1, (Y1 * Y2)^10 ]
Map::
	R = (1, 61, 4, 64, 12, 72, 9, 69, 18, 78, 25, 85, 23, 83, 30, 90, 37, 97, 35, 95, 42, 102, 49, 109, 47, 107, 54, 114, 60, 120, 56, 116, 58, 118, 51, 111, 44, 104, 46, 106, 39, 99, 32, 92, 34, 94, 27, 87, 20, 80, 22, 82, 15, 75, 6, 66, 13, 73, 5, 65)(2, 62, 7, 67, 16, 76, 14, 74, 21, 81, 28, 88, 26, 86, 33, 93, 40, 100, 38, 98, 45, 105, 52, 112, 50, 110, 57, 117, 59, 119, 53, 113, 55, 115, 48, 108, 41, 101, 43, 103, 36, 96, 29, 89, 31, 91, 24, 84, 17, 77, 19, 79, 11, 71, 3, 63, 10, 70, 8, 68)(121, 122)(123, 129)(124, 128)(125, 127)(126, 134)(130, 132)(131, 138)(133, 136)(135, 141)(137, 143)(139, 145)(140, 146)(142, 148)(144, 150)(147, 153)(149, 155)(151, 157)(152, 158)(154, 160)(156, 162)(159, 165)(161, 167)(163, 169)(164, 170)(166, 172)(168, 174)(171, 177)(173, 176)(175, 180)(178, 179)(181, 183)(182, 186)(184, 191)(185, 190)(187, 195)(188, 193)(189, 197)(192, 199)(194, 200)(196, 202)(198, 204)(201, 207)(203, 209)(205, 211)(206, 212)(208, 214)(210, 216)(213, 219)(215, 221)(217, 223)(218, 224)(220, 226)(222, 228)(225, 231)(227, 233)(229, 235)(230, 236)(232, 238)(234, 239)(237, 240)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 60, 60 ), ( 60^60 ) }
Outer automorphisms :: reflexible
Dual of E28.1429
Graph:: simple bipartite
	v = 62 e = 120 f = 4
	degree seq :: [ 2^60, 60^2 ]

E28.1427 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 15, 30})
Quotient :: edge^2
Aut^+ = D60 (small group id <60, 12>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, (Y3^-1 * Y1)^2, Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y3^2 * Y2, Y2 * Y3^9 * Y1, (Y3 * Y1 * Y2)^15 ]
Map::
	R = (1, 61, 4, 64, 12, 72, 24, 84, 40, 100, 52, 112, 49, 109, 37, 97, 21, 81, 9, 69, 20, 80, 36, 96, 26, 86, 42, 102, 54, 114, 60, 120, 57, 117, 47, 107, 33, 93, 30, 90, 16, 76, 6, 66, 15, 75, 29, 89, 44, 104, 53, 113, 41, 101, 25, 85, 13, 73, 5, 65)(2, 62, 7, 67, 17, 77, 31, 91, 45, 105, 56, 116, 55, 115, 43, 103, 28, 88, 14, 74, 27, 87, 35, 95, 19, 79, 34, 94, 48, 108, 58, 118, 59, 119, 51, 111, 39, 99, 23, 83, 11, 71, 3, 63, 10, 70, 22, 82, 38, 98, 50, 110, 46, 106, 32, 92, 18, 78, 8, 68)(121, 122)(123, 129)(124, 128)(125, 127)(126, 134)(130, 141)(131, 140)(132, 138)(133, 137)(135, 148)(136, 147)(139, 153)(142, 157)(143, 156)(144, 152)(145, 151)(146, 159)(149, 163)(150, 155)(154, 167)(158, 169)(160, 166)(161, 165)(162, 171)(164, 175)(168, 177)(170, 172)(173, 176)(174, 179)(178, 180)(181, 183)(182, 186)(184, 191)(185, 190)(187, 196)(188, 195)(189, 199)(192, 203)(193, 202)(194, 206)(197, 210)(198, 209)(200, 215)(201, 214)(204, 219)(205, 218)(207, 216)(208, 222)(211, 213)(212, 224)(217, 228)(220, 231)(221, 230)(223, 234)(225, 227)(226, 233)(229, 238)(232, 239)(235, 240)(236, 237)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 60, 60 ), ( 60^60 ) }
Outer automorphisms :: reflexible
Dual of E28.1431
Graph:: simple bipartite
	v = 62 e = 120 f = 4
	degree seq :: [ 2^60, 60^2 ]

E28.1428 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 15, 30})
Quotient :: loop^2
Aut^+ = D60 (small group id <60, 12>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y2 * Y1)^2, (Y3^-1 * Y2)^2, (Y3 * Y1)^2, Y3^15, Y3^2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 61, 121, 181, 4, 64, 124, 184, 11, 71, 131, 191, 19, 79, 139, 199, 27, 87, 147, 207, 35, 95, 155, 215, 43, 103, 163, 223, 51, 111, 171, 231, 52, 112, 172, 232, 44, 104, 164, 224, 36, 96, 156, 216, 28, 88, 148, 208, 20, 80, 140, 200, 12, 72, 132, 192, 5, 65, 125, 185)(2, 62, 122, 182, 7, 67, 127, 187, 15, 75, 135, 195, 23, 83, 143, 203, 31, 91, 151, 211, 39, 99, 159, 219, 47, 107, 167, 227, 55, 115, 175, 235, 56, 116, 176, 236, 48, 108, 168, 228, 40, 100, 160, 220, 32, 92, 152, 212, 24, 84, 144, 204, 16, 76, 136, 196, 8, 68, 128, 188)(3, 63, 123, 183, 9, 69, 129, 189, 17, 77, 137, 197, 25, 85, 145, 205, 33, 93, 153, 213, 41, 101, 161, 221, 49, 109, 169, 229, 57, 117, 177, 237, 58, 118, 178, 238, 50, 110, 170, 230, 42, 102, 162, 222, 34, 94, 154, 214, 26, 86, 146, 206, 18, 78, 138, 198, 10, 70, 130, 190)(6, 66, 126, 186, 13, 73, 133, 193, 21, 81, 141, 201, 29, 89, 149, 209, 37, 97, 157, 217, 45, 105, 165, 225, 53, 113, 173, 233, 59, 119, 179, 239, 60, 120, 180, 240, 54, 114, 174, 234, 46, 106, 166, 226, 38, 98, 158, 218, 30, 90, 150, 210, 22, 82, 142, 202, 14, 74, 134, 194)
	L = (1, 62)(2, 61)(3, 66)(4, 68)(5, 67)(6, 63)(7, 65)(8, 64)(9, 74)(10, 73)(11, 76)(12, 75)(13, 70)(14, 69)(15, 72)(16, 71)(17, 82)(18, 81)(19, 84)(20, 83)(21, 78)(22, 77)(23, 80)(24, 79)(25, 90)(26, 89)(27, 92)(28, 91)(29, 86)(30, 85)(31, 88)(32, 87)(33, 98)(34, 97)(35, 100)(36, 99)(37, 94)(38, 93)(39, 96)(40, 95)(41, 106)(42, 105)(43, 108)(44, 107)(45, 102)(46, 101)(47, 104)(48, 103)(49, 114)(50, 113)(51, 116)(52, 115)(53, 110)(54, 109)(55, 112)(56, 111)(57, 120)(58, 119)(59, 118)(60, 117)(121, 183)(122, 186)(123, 181)(124, 190)(125, 189)(126, 182)(127, 194)(128, 193)(129, 185)(130, 184)(131, 198)(132, 197)(133, 188)(134, 187)(135, 202)(136, 201)(137, 192)(138, 191)(139, 206)(140, 205)(141, 196)(142, 195)(143, 210)(144, 209)(145, 200)(146, 199)(147, 214)(148, 213)(149, 204)(150, 203)(151, 218)(152, 217)(153, 208)(154, 207)(155, 222)(156, 221)(157, 212)(158, 211)(159, 226)(160, 225)(161, 216)(162, 215)(163, 230)(164, 229)(165, 220)(166, 219)(167, 234)(168, 233)(169, 224)(170, 223)(171, 238)(172, 237)(173, 228)(174, 227)(175, 240)(176, 239)(177, 232)(178, 231)(179, 236)(180, 235)
	local type(s) :: { ( 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.1424
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 120 f = 62
	degree seq :: [ 60^4 ]

E28.1429 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 15, 30})
Quotient :: loop^2
Aut^+ = D60 (small group id <60, 12>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y3)^2, R * Y2 * R * Y1, (Y3^-1 * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2 * Y3^3 * Y1, Y3^15, Y3^5 * Y2 * Y3^-7 * Y1 * Y2 * Y1, (Y3 * Y1 * Y2)^30 ]
Map::
	R = (1, 61, 121, 181, 4, 64, 124, 184, 12, 72, 132, 192, 24, 84, 144, 204, 32, 92, 152, 212, 40, 100, 160, 220, 48, 108, 168, 228, 56, 116, 176, 236, 57, 117, 177, 237, 49, 109, 169, 229, 41, 101, 161, 221, 33, 93, 153, 213, 25, 85, 145, 205, 13, 73, 133, 193, 5, 65, 125, 185)(2, 62, 122, 182, 7, 67, 127, 187, 17, 77, 137, 197, 28, 88, 148, 208, 36, 96, 156, 216, 44, 104, 164, 224, 52, 112, 172, 232, 60, 120, 180, 240, 53, 113, 173, 233, 45, 105, 165, 225, 37, 97, 157, 217, 29, 89, 149, 209, 19, 79, 139, 199, 18, 78, 138, 198, 8, 68, 128, 188)(3, 63, 123, 183, 10, 70, 130, 190, 22, 82, 142, 202, 14, 74, 134, 194, 26, 86, 146, 206, 34, 94, 154, 214, 42, 102, 162, 222, 50, 110, 170, 230, 58, 118, 178, 238, 55, 115, 175, 235, 47, 107, 167, 227, 39, 99, 159, 219, 31, 91, 151, 211, 23, 83, 143, 203, 11, 71, 131, 191)(6, 66, 126, 186, 15, 75, 135, 195, 21, 81, 141, 201, 9, 69, 129, 189, 20, 80, 140, 200, 30, 90, 150, 210, 38, 98, 158, 218, 46, 106, 166, 226, 54, 114, 174, 234, 59, 119, 179, 239, 51, 111, 171, 231, 43, 103, 163, 223, 35, 95, 155, 215, 27, 87, 147, 207, 16, 76, 136, 196)
	L = (1, 62)(2, 61)(3, 69)(4, 68)(5, 67)(6, 74)(7, 65)(8, 64)(9, 63)(10, 81)(11, 80)(12, 78)(13, 77)(14, 66)(15, 82)(16, 86)(17, 73)(18, 72)(19, 84)(20, 71)(21, 70)(22, 75)(23, 90)(24, 79)(25, 88)(26, 76)(27, 94)(28, 85)(29, 92)(30, 83)(31, 98)(32, 89)(33, 96)(34, 87)(35, 102)(36, 93)(37, 100)(38, 91)(39, 106)(40, 97)(41, 104)(42, 95)(43, 110)(44, 101)(45, 108)(46, 99)(47, 114)(48, 105)(49, 112)(50, 103)(51, 118)(52, 109)(53, 116)(54, 107)(55, 119)(56, 113)(57, 120)(58, 111)(59, 115)(60, 117)(121, 183)(122, 186)(123, 181)(124, 191)(125, 190)(126, 182)(127, 196)(128, 195)(129, 199)(130, 185)(131, 184)(132, 203)(133, 202)(134, 205)(135, 188)(136, 187)(137, 207)(138, 201)(139, 189)(140, 209)(141, 198)(142, 193)(143, 192)(144, 211)(145, 194)(146, 213)(147, 197)(148, 215)(149, 200)(150, 217)(151, 204)(152, 219)(153, 206)(154, 221)(155, 208)(156, 223)(157, 210)(158, 225)(159, 212)(160, 227)(161, 214)(162, 229)(163, 216)(164, 231)(165, 218)(166, 233)(167, 220)(168, 235)(169, 222)(170, 237)(171, 224)(172, 239)(173, 226)(174, 240)(175, 228)(176, 238)(177, 230)(178, 236)(179, 232)(180, 234)
	local type(s) :: { ( 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.1426
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 120 f = 62
	degree seq :: [ 60^4 ]

E28.1430 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 15, 30})
Quotient :: loop^2
Aut^+ = D60 (small group id <60, 12>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, (Y3^-1 * Y1)^2, Y3^3 * Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y3, (Y1 * Y2)^6, (Y3 * Y1 * Y2)^30 ]
Map::
	R = (1, 61, 121, 181, 4, 64, 124, 184, 12, 72, 132, 192, 24, 84, 144, 204, 40, 100, 160, 220, 26, 86, 146, 206, 43, 103, 163, 223, 54, 114, 174, 234, 58, 118, 178, 238, 48, 108, 168, 228, 33, 93, 153, 213, 41, 101, 161, 221, 25, 85, 145, 205, 13, 73, 133, 193, 5, 65, 125, 185)(2, 62, 122, 182, 7, 67, 127, 187, 17, 77, 137, 197, 31, 91, 151, 211, 35, 95, 155, 215, 19, 79, 139, 199, 34, 94, 154, 214, 49, 109, 169, 229, 59, 119, 179, 239, 53, 113, 173, 233, 42, 102, 162, 222, 46, 106, 166, 226, 32, 92, 152, 212, 18, 78, 138, 198, 8, 68, 128, 188)(3, 63, 123, 183, 10, 70, 130, 190, 22, 82, 142, 202, 38, 98, 158, 218, 51, 111, 171, 231, 47, 107, 167, 227, 57, 117, 177, 237, 55, 115, 175, 235, 44, 104, 164, 224, 28, 88, 148, 208, 14, 74, 134, 194, 27, 87, 147, 207, 39, 99, 159, 219, 23, 83, 143, 203, 11, 71, 131, 191)(6, 66, 126, 186, 15, 75, 135, 195, 29, 89, 149, 209, 45, 105, 165, 225, 56, 116, 176, 236, 52, 112, 172, 232, 60, 120, 180, 240, 50, 110, 170, 230, 37, 97, 157, 217, 21, 81, 141, 201, 9, 69, 129, 189, 20, 80, 140, 200, 36, 96, 156, 216, 30, 90, 150, 210, 16, 76, 136, 196)
	L = (1, 62)(2, 61)(3, 69)(4, 68)(5, 67)(6, 74)(7, 65)(8, 64)(9, 63)(10, 81)(11, 80)(12, 78)(13, 77)(14, 66)(15, 88)(16, 87)(17, 73)(18, 72)(19, 93)(20, 71)(21, 70)(22, 97)(23, 96)(24, 92)(25, 91)(26, 102)(27, 76)(28, 75)(29, 104)(30, 99)(31, 85)(32, 84)(33, 79)(34, 108)(35, 101)(36, 83)(37, 82)(38, 110)(39, 90)(40, 106)(41, 95)(42, 86)(43, 113)(44, 89)(45, 115)(46, 100)(47, 112)(48, 94)(49, 118)(50, 98)(51, 120)(52, 107)(53, 103)(54, 119)(55, 105)(56, 117)(57, 116)(58, 109)(59, 114)(60, 111)(121, 183)(122, 186)(123, 181)(124, 191)(125, 190)(126, 182)(127, 196)(128, 195)(129, 199)(130, 185)(131, 184)(132, 203)(133, 202)(134, 206)(135, 188)(136, 187)(137, 210)(138, 209)(139, 189)(140, 215)(141, 214)(142, 193)(143, 192)(144, 219)(145, 218)(146, 194)(147, 220)(148, 223)(149, 198)(150, 197)(151, 216)(152, 225)(153, 227)(154, 201)(155, 200)(156, 211)(157, 229)(158, 205)(159, 204)(160, 207)(161, 231)(162, 232)(163, 208)(164, 234)(165, 212)(166, 236)(167, 213)(168, 237)(169, 217)(170, 239)(171, 221)(172, 222)(173, 240)(174, 224)(175, 238)(176, 226)(177, 228)(178, 235)(179, 230)(180, 233)
	local type(s) :: { ( 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.1425
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 120 f = 62
	degree seq :: [ 60^4 ]

E28.1431 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 15, 30})
Quotient :: loop^2
Aut^+ = D60 (small group id <60, 12>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y2)^2, (Y3 * Y1)^2, Y2 * Y3 * Y1 * Y3^-1 * Y2 * Y3^4 * Y1, Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y3^-2 * Y1 * Y2, Y3^3 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 ]
Map::
	R = (1, 61, 121, 181, 4, 64, 124, 184, 12, 72, 132, 192, 24, 84, 144, 204, 40, 100, 160, 220, 53, 113, 173, 233, 33, 93, 153, 213, 52, 112, 172, 232, 44, 104, 164, 224, 26, 86, 146, 206, 43, 103, 163, 223, 41, 101, 161, 221, 25, 85, 145, 205, 13, 73, 133, 193, 5, 65, 125, 185)(2, 62, 122, 182, 7, 67, 127, 187, 17, 77, 137, 197, 31, 91, 151, 211, 49, 109, 169, 229, 57, 117, 177, 237, 42, 102, 162, 222, 54, 114, 174, 234, 35, 95, 155, 215, 19, 79, 139, 199, 34, 94, 154, 214, 50, 110, 170, 230, 32, 92, 152, 212, 18, 78, 138, 198, 8, 68, 128, 188)(3, 63, 123, 183, 10, 70, 130, 190, 22, 82, 142, 202, 38, 98, 158, 218, 46, 106, 166, 226, 28, 88, 148, 208, 14, 74, 134, 194, 27, 87, 147, 207, 45, 105, 165, 225, 51, 111, 171, 231, 59, 119, 179, 239, 56, 116, 176, 236, 39, 99, 159, 219, 23, 83, 143, 203, 11, 71, 131, 191)(6, 66, 126, 186, 15, 75, 135, 195, 29, 89, 149, 209, 47, 107, 167, 227, 37, 97, 157, 217, 21, 81, 141, 201, 9, 69, 129, 189, 20, 80, 140, 200, 36, 96, 156, 216, 55, 115, 175, 235, 60, 120, 180, 240, 58, 118, 178, 238, 48, 108, 168, 228, 30, 90, 150, 210, 16, 76, 136, 196)
	L = (1, 62)(2, 61)(3, 69)(4, 68)(5, 67)(6, 74)(7, 65)(8, 64)(9, 63)(10, 81)(11, 80)(12, 78)(13, 77)(14, 66)(15, 88)(16, 87)(17, 73)(18, 72)(19, 93)(20, 71)(21, 70)(22, 97)(23, 96)(24, 92)(25, 91)(26, 102)(27, 76)(28, 75)(29, 106)(30, 105)(31, 85)(32, 84)(33, 79)(34, 113)(35, 112)(36, 83)(37, 82)(38, 107)(39, 115)(40, 110)(41, 109)(42, 86)(43, 117)(44, 114)(45, 90)(46, 89)(47, 98)(48, 111)(49, 101)(50, 100)(51, 108)(52, 95)(53, 94)(54, 104)(55, 99)(56, 120)(57, 103)(58, 119)(59, 118)(60, 116)(121, 183)(122, 186)(123, 181)(124, 191)(125, 190)(126, 182)(127, 196)(128, 195)(129, 199)(130, 185)(131, 184)(132, 203)(133, 202)(134, 206)(135, 188)(136, 187)(137, 210)(138, 209)(139, 189)(140, 215)(141, 214)(142, 193)(143, 192)(144, 219)(145, 218)(146, 194)(147, 224)(148, 223)(149, 198)(150, 197)(151, 228)(152, 227)(153, 231)(154, 201)(155, 200)(156, 234)(157, 230)(158, 205)(159, 204)(160, 236)(161, 226)(162, 235)(163, 208)(164, 207)(165, 232)(166, 221)(167, 212)(168, 211)(169, 238)(170, 217)(171, 213)(172, 225)(173, 239)(174, 216)(175, 222)(176, 220)(177, 240)(178, 229)(179, 233)(180, 237)
	local type(s) :: { ( 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.1427
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 120 f = 62
	degree seq :: [ 60^4 ]

E28.1432 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 15, 30})
Quotient :: loop^2
Aut^+ = D60 (small group id <60, 12>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3 * Y2)^2, Y2 * Y1 * Y3^15, (Y3 * Y1 * Y2)^15 ]
Map::
	R = (1, 61, 121, 181, 4, 64, 124, 184, 11, 71, 131, 191, 19, 79, 139, 199, 27, 87, 147, 207, 35, 95, 155, 215, 43, 103, 163, 223, 51, 111, 171, 231, 59, 119, 179, 239, 54, 114, 174, 234, 46, 106, 166, 226, 38, 98, 158, 218, 30, 90, 150, 210, 22, 82, 142, 202, 14, 74, 134, 194, 6, 66, 126, 186, 13, 73, 133, 193, 21, 81, 141, 201, 29, 89, 149, 209, 37, 97, 157, 217, 45, 105, 165, 225, 53, 113, 173, 233, 60, 120, 180, 240, 52, 112, 172, 232, 44, 104, 164, 224, 36, 96, 156, 216, 28, 88, 148, 208, 20, 80, 140, 200, 12, 72, 132, 192, 5, 65, 125, 185)(2, 62, 122, 182, 7, 67, 127, 187, 15, 75, 135, 195, 23, 83, 143, 203, 31, 91, 151, 211, 39, 99, 159, 219, 47, 107, 167, 227, 55, 115, 175, 235, 58, 118, 178, 238, 50, 110, 170, 230, 42, 102, 162, 222, 34, 94, 154, 214, 26, 86, 146, 206, 18, 78, 138, 198, 10, 70, 130, 190, 3, 63, 123, 183, 9, 69, 129, 189, 17, 77, 137, 197, 25, 85, 145, 205, 33, 93, 153, 213, 41, 101, 161, 221, 49, 109, 169, 229, 57, 117, 177, 237, 56, 116, 176, 236, 48, 108, 168, 228, 40, 100, 160, 220, 32, 92, 152, 212, 24, 84, 144, 204, 16, 76, 136, 196, 8, 68, 128, 188)
	L = (1, 62)(2, 61)(3, 66)(4, 68)(5, 67)(6, 63)(7, 65)(8, 64)(9, 74)(10, 73)(11, 76)(12, 75)(13, 70)(14, 69)(15, 72)(16, 71)(17, 82)(18, 81)(19, 84)(20, 83)(21, 78)(22, 77)(23, 80)(24, 79)(25, 90)(26, 89)(27, 92)(28, 91)(29, 86)(30, 85)(31, 88)(32, 87)(33, 98)(34, 97)(35, 100)(36, 99)(37, 94)(38, 93)(39, 96)(40, 95)(41, 106)(42, 105)(43, 108)(44, 107)(45, 102)(46, 101)(47, 104)(48, 103)(49, 114)(50, 113)(51, 116)(52, 115)(53, 110)(54, 109)(55, 112)(56, 111)(57, 119)(58, 120)(59, 117)(60, 118)(121, 183)(122, 186)(123, 181)(124, 190)(125, 189)(126, 182)(127, 194)(128, 193)(129, 185)(130, 184)(131, 198)(132, 197)(133, 188)(134, 187)(135, 202)(136, 201)(137, 192)(138, 191)(139, 206)(140, 205)(141, 196)(142, 195)(143, 210)(144, 209)(145, 200)(146, 199)(147, 214)(148, 213)(149, 204)(150, 203)(151, 218)(152, 217)(153, 208)(154, 207)(155, 222)(156, 221)(157, 212)(158, 211)(159, 226)(160, 225)(161, 216)(162, 215)(163, 230)(164, 229)(165, 220)(166, 219)(167, 234)(168, 233)(169, 224)(170, 223)(171, 238)(172, 237)(173, 228)(174, 227)(175, 239)(176, 240)(177, 232)(178, 231)(179, 235)(180, 236)
	local type(s) :: { ( 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30 ) }
Outer automorphisms :: reflexible
Dual of E28.1420
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 120 f = 64
	degree seq :: [ 120^2 ]

E28.1433 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 15, 30})
Quotient :: loop^2
Aut^+ = D60 (small group id <60, 12>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y2)^2, (Y1 * Y3)^2, Y1 * Y3^-5 * Y2, (Y2 * Y1)^6, Y3^-2 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y3^-3 * Y1 * Y2 * Y1 * Y2 ]
Map::
	R = (1, 61, 121, 181, 4, 64, 124, 184, 12, 72, 132, 192, 24, 84, 144, 204, 21, 81, 141, 201, 9, 69, 129, 189, 20, 80, 140, 200, 34, 94, 154, 214, 45, 105, 165, 225, 43, 103, 163, 223, 31, 91, 151, 211, 42, 102, 162, 222, 53, 113, 173, 233, 60, 120, 180, 240, 56, 116, 176, 236, 46, 106, 166, 226, 55, 115, 175, 235, 58, 118, 178, 238, 49, 109, 169, 229, 38, 98, 158, 218, 26, 86, 146, 206, 37, 97, 157, 217, 40, 100, 160, 220, 29, 89, 149, 209, 16, 76, 136, 196, 6, 66, 126, 186, 15, 75, 135, 195, 25, 85, 145, 205, 13, 73, 133, 193, 5, 65, 125, 185)(2, 62, 122, 182, 7, 67, 127, 187, 17, 77, 137, 197, 30, 90, 150, 210, 28, 88, 148, 208, 14, 74, 134, 194, 27, 87, 147, 207, 39, 99, 159, 219, 50, 110, 170, 230, 48, 108, 168, 228, 36, 96, 156, 216, 47, 107, 167, 227, 57, 117, 177, 237, 59, 119, 179, 239, 52, 112, 172, 232, 41, 101, 161, 221, 51, 111, 171, 231, 54, 114, 174, 234, 44, 104, 164, 224, 33, 93, 153, 213, 19, 79, 139, 199, 32, 92, 152, 212, 35, 95, 155, 215, 23, 83, 143, 203, 11, 71, 131, 191, 3, 63, 123, 183, 10, 70, 130, 190, 22, 82, 142, 202, 18, 78, 138, 198, 8, 68, 128, 188)
	L = (1, 62)(2, 61)(3, 69)(4, 68)(5, 67)(6, 74)(7, 65)(8, 64)(9, 63)(10, 81)(11, 80)(12, 78)(13, 77)(14, 66)(15, 88)(16, 87)(17, 73)(18, 72)(19, 91)(20, 71)(21, 70)(22, 84)(23, 94)(24, 82)(25, 90)(26, 96)(27, 76)(28, 75)(29, 99)(30, 85)(31, 79)(32, 103)(33, 102)(34, 83)(35, 105)(36, 86)(37, 108)(38, 107)(39, 89)(40, 110)(41, 106)(42, 93)(43, 92)(44, 113)(45, 95)(46, 101)(47, 98)(48, 97)(49, 117)(50, 100)(51, 116)(52, 115)(53, 104)(54, 120)(55, 112)(56, 111)(57, 109)(58, 119)(59, 118)(60, 114)(121, 183)(122, 186)(123, 181)(124, 191)(125, 190)(126, 182)(127, 196)(128, 195)(129, 199)(130, 185)(131, 184)(132, 203)(133, 202)(134, 206)(135, 188)(136, 187)(137, 209)(138, 205)(139, 189)(140, 213)(141, 212)(142, 193)(143, 192)(144, 215)(145, 198)(146, 194)(147, 218)(148, 217)(149, 197)(150, 220)(151, 221)(152, 201)(153, 200)(154, 224)(155, 204)(156, 226)(157, 208)(158, 207)(159, 229)(160, 210)(161, 211)(162, 232)(163, 231)(164, 214)(165, 234)(166, 216)(167, 236)(168, 235)(169, 219)(170, 238)(171, 223)(172, 222)(173, 239)(174, 225)(175, 228)(176, 227)(177, 240)(178, 230)(179, 233)(180, 237)
	local type(s) :: { ( 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30 ) }
Outer automorphisms :: reflexible
Dual of E28.1422
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 120 f = 64
	degree seq :: [ 120^2 ]

E28.1434 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 15, 30})
Quotient :: loop^2
Aut^+ = D60 (small group id <60, 12>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y3^-1)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y2)^2, Y2 * Y3^3 * Y1, (Y1 * Y2)^10 ]
Map::
	R = (1, 61, 121, 181, 4, 64, 124, 184, 12, 72, 132, 192, 9, 69, 129, 189, 18, 78, 138, 198, 25, 85, 145, 205, 23, 83, 143, 203, 30, 90, 150, 210, 37, 97, 157, 217, 35, 95, 155, 215, 42, 102, 162, 222, 49, 109, 169, 229, 47, 107, 167, 227, 54, 114, 174, 234, 60, 120, 180, 240, 56, 116, 176, 236, 58, 118, 178, 238, 51, 111, 171, 231, 44, 104, 164, 224, 46, 106, 166, 226, 39, 99, 159, 219, 32, 92, 152, 212, 34, 94, 154, 214, 27, 87, 147, 207, 20, 80, 140, 200, 22, 82, 142, 202, 15, 75, 135, 195, 6, 66, 126, 186, 13, 73, 133, 193, 5, 65, 125, 185)(2, 62, 122, 182, 7, 67, 127, 187, 16, 76, 136, 196, 14, 74, 134, 194, 21, 81, 141, 201, 28, 88, 148, 208, 26, 86, 146, 206, 33, 93, 153, 213, 40, 100, 160, 220, 38, 98, 158, 218, 45, 105, 165, 225, 52, 112, 172, 232, 50, 110, 170, 230, 57, 117, 177, 237, 59, 119, 179, 239, 53, 113, 173, 233, 55, 115, 175, 235, 48, 108, 168, 228, 41, 101, 161, 221, 43, 103, 163, 223, 36, 96, 156, 216, 29, 89, 149, 209, 31, 91, 151, 211, 24, 84, 144, 204, 17, 77, 137, 197, 19, 79, 139, 199, 11, 71, 131, 191, 3, 63, 123, 183, 10, 70, 130, 190, 8, 68, 128, 188)
	L = (1, 62)(2, 61)(3, 69)(4, 68)(5, 67)(6, 74)(7, 65)(8, 64)(9, 63)(10, 72)(11, 78)(12, 70)(13, 76)(14, 66)(15, 81)(16, 73)(17, 83)(18, 71)(19, 85)(20, 86)(21, 75)(22, 88)(23, 77)(24, 90)(25, 79)(26, 80)(27, 93)(28, 82)(29, 95)(30, 84)(31, 97)(32, 98)(33, 87)(34, 100)(35, 89)(36, 102)(37, 91)(38, 92)(39, 105)(40, 94)(41, 107)(42, 96)(43, 109)(44, 110)(45, 99)(46, 112)(47, 101)(48, 114)(49, 103)(50, 104)(51, 117)(52, 106)(53, 116)(54, 108)(55, 120)(56, 113)(57, 111)(58, 119)(59, 118)(60, 115)(121, 183)(122, 186)(123, 181)(124, 191)(125, 190)(126, 182)(127, 195)(128, 193)(129, 197)(130, 185)(131, 184)(132, 199)(133, 188)(134, 200)(135, 187)(136, 202)(137, 189)(138, 204)(139, 192)(140, 194)(141, 207)(142, 196)(143, 209)(144, 198)(145, 211)(146, 212)(147, 201)(148, 214)(149, 203)(150, 216)(151, 205)(152, 206)(153, 219)(154, 208)(155, 221)(156, 210)(157, 223)(158, 224)(159, 213)(160, 226)(161, 215)(162, 228)(163, 217)(164, 218)(165, 231)(166, 220)(167, 233)(168, 222)(169, 235)(170, 236)(171, 225)(172, 238)(173, 227)(174, 239)(175, 229)(176, 230)(177, 240)(178, 232)(179, 234)(180, 237)
	local type(s) :: { ( 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30 ) }
Outer automorphisms :: reflexible
Dual of E28.1421
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 120 f = 64
	degree seq :: [ 120^2 ]

E28.1435 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 15, 30})
Quotient :: loop^2
Aut^+ = D60 (small group id <60, 12>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, (Y3^-1 * Y1)^2, Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y3^2 * Y2, Y2 * Y3^9 * Y1, (Y3 * Y1 * Y2)^15 ]
Map::
	R = (1, 61, 121, 181, 4, 64, 124, 184, 12, 72, 132, 192, 24, 84, 144, 204, 40, 100, 160, 220, 52, 112, 172, 232, 49, 109, 169, 229, 37, 97, 157, 217, 21, 81, 141, 201, 9, 69, 129, 189, 20, 80, 140, 200, 36, 96, 156, 216, 26, 86, 146, 206, 42, 102, 162, 222, 54, 114, 174, 234, 60, 120, 180, 240, 57, 117, 177, 237, 47, 107, 167, 227, 33, 93, 153, 213, 30, 90, 150, 210, 16, 76, 136, 196, 6, 66, 126, 186, 15, 75, 135, 195, 29, 89, 149, 209, 44, 104, 164, 224, 53, 113, 173, 233, 41, 101, 161, 221, 25, 85, 145, 205, 13, 73, 133, 193, 5, 65, 125, 185)(2, 62, 122, 182, 7, 67, 127, 187, 17, 77, 137, 197, 31, 91, 151, 211, 45, 105, 165, 225, 56, 116, 176, 236, 55, 115, 175, 235, 43, 103, 163, 223, 28, 88, 148, 208, 14, 74, 134, 194, 27, 87, 147, 207, 35, 95, 155, 215, 19, 79, 139, 199, 34, 94, 154, 214, 48, 108, 168, 228, 58, 118, 178, 238, 59, 119, 179, 239, 51, 111, 171, 231, 39, 99, 159, 219, 23, 83, 143, 203, 11, 71, 131, 191, 3, 63, 123, 183, 10, 70, 130, 190, 22, 82, 142, 202, 38, 98, 158, 218, 50, 110, 170, 230, 46, 106, 166, 226, 32, 92, 152, 212, 18, 78, 138, 198, 8, 68, 128, 188)
	L = (1, 62)(2, 61)(3, 69)(4, 68)(5, 67)(6, 74)(7, 65)(8, 64)(9, 63)(10, 81)(11, 80)(12, 78)(13, 77)(14, 66)(15, 88)(16, 87)(17, 73)(18, 72)(19, 93)(20, 71)(21, 70)(22, 97)(23, 96)(24, 92)(25, 91)(26, 99)(27, 76)(28, 75)(29, 103)(30, 95)(31, 85)(32, 84)(33, 79)(34, 107)(35, 90)(36, 83)(37, 82)(38, 109)(39, 86)(40, 106)(41, 105)(42, 111)(43, 89)(44, 115)(45, 101)(46, 100)(47, 94)(48, 117)(49, 98)(50, 112)(51, 102)(52, 110)(53, 116)(54, 119)(55, 104)(56, 113)(57, 108)(58, 120)(59, 114)(60, 118)(121, 183)(122, 186)(123, 181)(124, 191)(125, 190)(126, 182)(127, 196)(128, 195)(129, 199)(130, 185)(131, 184)(132, 203)(133, 202)(134, 206)(135, 188)(136, 187)(137, 210)(138, 209)(139, 189)(140, 215)(141, 214)(142, 193)(143, 192)(144, 219)(145, 218)(146, 194)(147, 216)(148, 222)(149, 198)(150, 197)(151, 213)(152, 224)(153, 211)(154, 201)(155, 200)(156, 207)(157, 228)(158, 205)(159, 204)(160, 231)(161, 230)(162, 208)(163, 234)(164, 212)(165, 227)(166, 233)(167, 225)(168, 217)(169, 238)(170, 221)(171, 220)(172, 239)(173, 226)(174, 223)(175, 240)(176, 237)(177, 236)(178, 229)(179, 232)(180, 235)
	local type(s) :: { ( 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30 ) }
Outer automorphisms :: reflexible
Dual of E28.1423
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 120 f = 64
	degree seq :: [ 120^2 ]

E28.1436 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 15, 30})
Quotient :: dipole
Aut^+ = C30 x C2 (small group id <60, 13>)
Aut   = C2 x C2 x D30 (small group id <120, 46>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y3 * Y2 * Y3 * Y2^-1, (Y3 * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y1)^2, Y2^15 ]
Map:: non-degenerate
	R = (1, 61, 2, 62)(3, 63, 6, 66)(4, 64, 7, 67)(5, 65, 8, 68)(9, 69, 13, 73)(10, 70, 14, 74)(11, 71, 15, 75)(12, 72, 16, 76)(17, 77, 21, 81)(18, 78, 22, 82)(19, 79, 23, 83)(20, 80, 24, 84)(25, 85, 29, 89)(26, 86, 30, 90)(27, 87, 31, 91)(28, 88, 32, 92)(33, 93, 37, 97)(34, 94, 38, 98)(35, 95, 39, 99)(36, 96, 40, 100)(41, 101, 45, 105)(42, 102, 46, 106)(43, 103, 47, 107)(44, 104, 48, 108)(49, 109, 53, 113)(50, 110, 54, 114)(51, 111, 55, 115)(52, 112, 56, 116)(57, 117, 59, 119)(58, 118, 60, 120)(121, 181, 123, 183, 129, 189, 137, 197, 145, 205, 153, 213, 161, 221, 169, 229, 172, 232, 164, 224, 156, 216, 148, 208, 140, 200, 132, 192, 125, 185)(122, 182, 126, 186, 133, 193, 141, 201, 149, 209, 157, 217, 165, 225, 173, 233, 176, 236, 168, 228, 160, 220, 152, 212, 144, 204, 136, 196, 128, 188)(124, 184, 130, 190, 138, 198, 146, 206, 154, 214, 162, 222, 170, 230, 177, 237, 178, 238, 171, 231, 163, 223, 155, 215, 147, 207, 139, 199, 131, 191)(127, 187, 134, 194, 142, 202, 150, 210, 158, 218, 166, 226, 174, 234, 179, 239, 180, 240, 175, 235, 167, 227, 159, 219, 151, 211, 143, 203, 135, 195)
	L = (1, 124)(2, 127)(3, 130)(4, 121)(5, 131)(6, 134)(7, 122)(8, 135)(9, 138)(10, 123)(11, 125)(12, 139)(13, 142)(14, 126)(15, 128)(16, 143)(17, 146)(18, 129)(19, 132)(20, 147)(21, 150)(22, 133)(23, 136)(24, 151)(25, 154)(26, 137)(27, 140)(28, 155)(29, 158)(30, 141)(31, 144)(32, 159)(33, 162)(34, 145)(35, 148)(36, 163)(37, 166)(38, 149)(39, 152)(40, 167)(41, 170)(42, 153)(43, 156)(44, 171)(45, 174)(46, 157)(47, 160)(48, 175)(49, 177)(50, 161)(51, 164)(52, 178)(53, 179)(54, 165)(55, 168)(56, 180)(57, 169)(58, 172)(59, 173)(60, 176)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 60, 4, 60 ), ( 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.1445
Graph:: simple bipartite
	v = 34 e = 120 f = 32
	degree seq :: [ 4^30, 30^4 ]

E28.1437 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 15, 30})
Quotient :: dipole
Aut^+ = D60 (small group id <60, 12>)
Aut   = C2 x C2 x D30 (small group id <120, 46>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y3 * Y2 * Y3 * Y2^-1, (Y3 * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2 * Y1)^2, (R * Y1)^2, Y2^15 ]
Map:: non-degenerate
	R = (1, 61, 2, 62)(3, 63, 8, 68)(4, 64, 7, 67)(5, 65, 6, 66)(9, 69, 16, 76)(10, 70, 15, 75)(11, 71, 14, 74)(12, 72, 13, 73)(17, 77, 24, 84)(18, 78, 23, 83)(19, 79, 22, 82)(20, 80, 21, 81)(25, 85, 32, 92)(26, 86, 31, 91)(27, 87, 30, 90)(28, 88, 29, 89)(33, 93, 40, 100)(34, 94, 39, 99)(35, 95, 38, 98)(36, 96, 37, 97)(41, 101, 48, 108)(42, 102, 47, 107)(43, 103, 46, 106)(44, 104, 45, 105)(49, 109, 56, 116)(50, 110, 55, 115)(51, 111, 54, 114)(52, 112, 53, 113)(57, 117, 60, 120)(58, 118, 59, 119)(121, 181, 123, 183, 129, 189, 137, 197, 145, 205, 153, 213, 161, 221, 169, 229, 172, 232, 164, 224, 156, 216, 148, 208, 140, 200, 132, 192, 125, 185)(122, 182, 126, 186, 133, 193, 141, 201, 149, 209, 157, 217, 165, 225, 173, 233, 176, 236, 168, 228, 160, 220, 152, 212, 144, 204, 136, 196, 128, 188)(124, 184, 130, 190, 138, 198, 146, 206, 154, 214, 162, 222, 170, 230, 177, 237, 178, 238, 171, 231, 163, 223, 155, 215, 147, 207, 139, 199, 131, 191)(127, 187, 134, 194, 142, 202, 150, 210, 158, 218, 166, 226, 174, 234, 179, 239, 180, 240, 175, 235, 167, 227, 159, 219, 151, 211, 143, 203, 135, 195)
	L = (1, 124)(2, 127)(3, 130)(4, 121)(5, 131)(6, 134)(7, 122)(8, 135)(9, 138)(10, 123)(11, 125)(12, 139)(13, 142)(14, 126)(15, 128)(16, 143)(17, 146)(18, 129)(19, 132)(20, 147)(21, 150)(22, 133)(23, 136)(24, 151)(25, 154)(26, 137)(27, 140)(28, 155)(29, 158)(30, 141)(31, 144)(32, 159)(33, 162)(34, 145)(35, 148)(36, 163)(37, 166)(38, 149)(39, 152)(40, 167)(41, 170)(42, 153)(43, 156)(44, 171)(45, 174)(46, 157)(47, 160)(48, 175)(49, 177)(50, 161)(51, 164)(52, 178)(53, 179)(54, 165)(55, 168)(56, 180)(57, 169)(58, 172)(59, 173)(60, 176)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 60, 4, 60 ), ( 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.1446
Graph:: simple bipartite
	v = 34 e = 120 f = 32
	degree seq :: [ 4^30, 30^4 ]

E28.1438 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 15, 30})
Quotient :: dipole
Aut^+ = D60 (small group id <60, 12>)
Aut   = C2 x C2 x D30 (small group id <120, 46>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2^-1), (Y2 * Y1)^2, (R * Y2)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y3^6, Y3^2 * Y2^5 ]
Map:: non-degenerate
	R = (1, 61, 2, 62)(3, 63, 9, 69)(4, 64, 10, 70)(5, 65, 7, 67)(6, 66, 8, 68)(11, 71, 24, 84)(12, 72, 25, 85)(13, 73, 23, 83)(14, 74, 26, 86)(15, 75, 21, 81)(16, 76, 19, 79)(17, 77, 20, 80)(18, 78, 22, 82)(27, 87, 46, 106)(28, 88, 47, 107)(29, 89, 45, 105)(30, 90, 48, 108)(31, 91, 44, 104)(32, 92, 43, 103)(33, 93, 42, 102)(34, 94, 40, 100)(35, 95, 38, 98)(36, 96, 39, 99)(37, 97, 41, 101)(49, 109, 60, 120)(50, 110, 59, 119)(51, 111, 58, 118)(52, 112, 57, 117)(53, 113, 56, 116)(54, 114, 55, 115)(121, 181, 123, 183, 131, 191, 147, 207, 157, 217, 138, 198, 151, 211, 170, 230, 173, 233, 153, 213, 134, 194, 150, 210, 155, 215, 136, 196, 125, 185)(122, 182, 127, 187, 139, 199, 158, 218, 168, 228, 146, 206, 162, 222, 176, 236, 179, 239, 164, 224, 142, 202, 161, 221, 166, 226, 144, 204, 129, 189)(124, 184, 132, 192, 148, 208, 156, 216, 137, 197, 126, 186, 133, 193, 149, 209, 169, 229, 172, 232, 152, 212, 171, 231, 174, 234, 154, 214, 135, 195)(128, 188, 140, 200, 159, 219, 167, 227, 145, 205, 130, 190, 141, 201, 160, 220, 175, 235, 178, 238, 163, 223, 177, 237, 180, 240, 165, 225, 143, 203)
	L = (1, 124)(2, 128)(3, 132)(4, 134)(5, 135)(6, 121)(7, 140)(8, 142)(9, 143)(10, 122)(11, 148)(12, 150)(13, 123)(14, 152)(15, 153)(16, 154)(17, 125)(18, 126)(19, 159)(20, 161)(21, 127)(22, 163)(23, 164)(24, 165)(25, 129)(26, 130)(27, 156)(28, 155)(29, 131)(30, 171)(31, 133)(32, 138)(33, 172)(34, 173)(35, 174)(36, 136)(37, 137)(38, 167)(39, 166)(40, 139)(41, 177)(42, 141)(43, 146)(44, 178)(45, 179)(46, 180)(47, 144)(48, 145)(49, 147)(50, 149)(51, 151)(52, 157)(53, 169)(54, 170)(55, 158)(56, 160)(57, 162)(58, 168)(59, 175)(60, 176)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 60, 4, 60 ), ( 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.1447
Graph:: simple bipartite
	v = 34 e = 120 f = 32
	degree seq :: [ 4^30, 30^4 ]

E28.1439 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 15, 30})
Quotient :: dipole
Aut^+ = D60 (small group id <60, 12>)
Aut   = C2 x C2 x D30 (small group id <120, 46>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y3)^2, (Y3, Y2^-1), (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, (Y2^-1 * Y1)^2, Y3^-2 * Y2^3, Y3^10, Y3^10 ]
Map:: non-degenerate
	R = (1, 61, 2, 62)(3, 63, 9, 69)(4, 64, 10, 70)(5, 65, 7, 67)(6, 66, 8, 68)(11, 71, 24, 84)(12, 72, 25, 85)(13, 73, 23, 83)(14, 74, 26, 86)(15, 75, 21, 81)(16, 76, 19, 79)(17, 77, 20, 80)(18, 78, 22, 82)(27, 87, 36, 96)(28, 88, 37, 97)(29, 89, 38, 98)(30, 90, 33, 93)(31, 91, 34, 94)(32, 92, 35, 95)(39, 99, 48, 108)(40, 100, 49, 109)(41, 101, 50, 110)(42, 102, 45, 105)(43, 103, 46, 106)(44, 104, 47, 107)(51, 111, 59, 119)(52, 112, 60, 120)(53, 113, 58, 118)(54, 114, 56, 116)(55, 115, 57, 117)(121, 181, 123, 183, 131, 191, 134, 194, 148, 208, 159, 219, 161, 221, 172, 232, 175, 235, 164, 224, 162, 222, 151, 211, 138, 198, 136, 196, 125, 185)(122, 182, 127, 187, 139, 199, 142, 202, 154, 214, 165, 225, 167, 227, 177, 237, 180, 240, 170, 230, 168, 228, 157, 217, 146, 206, 144, 204, 129, 189)(124, 184, 132, 192, 147, 207, 149, 209, 160, 220, 171, 231, 173, 233, 174, 234, 163, 223, 152, 212, 150, 210, 137, 197, 126, 186, 133, 193, 135, 195)(128, 188, 140, 200, 153, 213, 155, 215, 166, 226, 176, 236, 178, 238, 179, 239, 169, 229, 158, 218, 156, 216, 145, 205, 130, 190, 141, 201, 143, 203)
	L = (1, 124)(2, 128)(3, 132)(4, 134)(5, 135)(6, 121)(7, 140)(8, 142)(9, 143)(10, 122)(11, 147)(12, 148)(13, 123)(14, 149)(15, 131)(16, 133)(17, 125)(18, 126)(19, 153)(20, 154)(21, 127)(22, 155)(23, 139)(24, 141)(25, 129)(26, 130)(27, 159)(28, 160)(29, 161)(30, 136)(31, 137)(32, 138)(33, 165)(34, 166)(35, 167)(36, 144)(37, 145)(38, 146)(39, 171)(40, 172)(41, 173)(42, 150)(43, 151)(44, 152)(45, 176)(46, 177)(47, 178)(48, 156)(49, 157)(50, 158)(51, 175)(52, 174)(53, 164)(54, 162)(55, 163)(56, 180)(57, 179)(58, 170)(59, 168)(60, 169)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 60, 4, 60 ), ( 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.1450
Graph:: simple bipartite
	v = 34 e = 120 f = 32
	degree seq :: [ 4^30, 30^4 ]

E28.1440 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 15, 30})
Quotient :: dipole
Aut^+ = D60 (small group id <60, 12>)
Aut   = C2 x C2 x D30 (small group id <120, 46>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (Y2^-1 * Y1)^2, (R * Y2)^2, Y2^2 * Y3 * Y2 * Y3^3, Y3 * Y2^-1 * Y3 * Y2^-5, Y2^54 * Y3^2 ]
Map:: non-degenerate
	R = (1, 61, 2, 62)(3, 63, 9, 69)(4, 64, 10, 70)(5, 65, 7, 67)(6, 66, 8, 68)(11, 71, 24, 84)(12, 72, 25, 85)(13, 73, 23, 83)(14, 74, 26, 86)(15, 75, 21, 81)(16, 76, 19, 79)(17, 77, 20, 80)(18, 78, 22, 82)(27, 87, 47, 107)(28, 88, 48, 108)(29, 89, 46, 106)(30, 90, 49, 109)(31, 91, 45, 105)(32, 92, 50, 110)(33, 93, 43, 103)(34, 94, 41, 101)(35, 95, 39, 99)(36, 96, 40, 100)(37, 97, 42, 102)(38, 98, 44, 104)(51, 111, 58, 118)(52, 112, 57, 117)(53, 113, 56, 116)(54, 114, 60, 120)(55, 115, 59, 119)(121, 181, 123, 183, 131, 191, 147, 207, 171, 231, 153, 213, 134, 194, 150, 210, 157, 217, 138, 198, 151, 211, 173, 233, 155, 215, 136, 196, 125, 185)(122, 182, 127, 187, 139, 199, 159, 219, 176, 236, 165, 225, 142, 202, 162, 222, 169, 229, 146, 206, 163, 223, 178, 238, 167, 227, 144, 204, 129, 189)(124, 184, 132, 192, 148, 208, 158, 218, 174, 234, 175, 235, 152, 212, 156, 216, 137, 197, 126, 186, 133, 193, 149, 209, 172, 232, 154, 214, 135, 195)(128, 188, 140, 200, 160, 220, 170, 230, 179, 239, 180, 240, 164, 224, 168, 228, 145, 205, 130, 190, 141, 201, 161, 221, 177, 237, 166, 226, 143, 203)
	L = (1, 124)(2, 128)(3, 132)(4, 134)(5, 135)(6, 121)(7, 140)(8, 142)(9, 143)(10, 122)(11, 148)(12, 150)(13, 123)(14, 152)(15, 153)(16, 154)(17, 125)(18, 126)(19, 160)(20, 162)(21, 127)(22, 164)(23, 165)(24, 166)(25, 129)(26, 130)(27, 158)(28, 157)(29, 131)(30, 156)(31, 133)(32, 155)(33, 175)(34, 171)(35, 172)(36, 136)(37, 137)(38, 138)(39, 170)(40, 169)(41, 139)(42, 168)(43, 141)(44, 167)(45, 180)(46, 176)(47, 177)(48, 144)(49, 145)(50, 146)(51, 174)(52, 147)(53, 149)(54, 151)(55, 173)(56, 179)(57, 159)(58, 161)(59, 163)(60, 178)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 60, 4, 60 ), ( 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.1448
Graph:: simple bipartite
	v = 34 e = 120 f = 32
	degree seq :: [ 4^30, 30^4 ]

E28.1441 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 15, 30})
Quotient :: dipole
Aut^+ = D60 (small group id <60, 12>)
Aut   = C2 x C2 x D30 (small group id <120, 46>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2), (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, (Y2 * Y1)^2, (R * Y2)^2, Y2^-1 * Y3 * Y2^-2 * Y3^3, Y2^-1 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-3, Y2^-6 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 61, 2, 62)(3, 63, 9, 69)(4, 64, 10, 70)(5, 65, 7, 67)(6, 66, 8, 68)(11, 71, 24, 84)(12, 72, 25, 85)(13, 73, 23, 83)(14, 74, 26, 86)(15, 75, 21, 81)(16, 76, 19, 79)(17, 77, 20, 80)(18, 78, 22, 82)(27, 87, 47, 107)(28, 88, 48, 108)(29, 89, 46, 106)(30, 90, 49, 109)(31, 91, 45, 105)(32, 92, 50, 110)(33, 93, 43, 103)(34, 94, 41, 101)(35, 95, 39, 99)(36, 96, 40, 100)(37, 97, 42, 102)(38, 98, 44, 104)(51, 111, 58, 118)(52, 112, 57, 117)(53, 113, 56, 116)(54, 114, 60, 120)(55, 115, 59, 119)(121, 181, 123, 183, 131, 191, 147, 207, 171, 231, 157, 217, 138, 198, 151, 211, 153, 213, 134, 194, 150, 210, 173, 233, 155, 215, 136, 196, 125, 185)(122, 182, 127, 187, 139, 199, 159, 219, 176, 236, 169, 229, 146, 206, 163, 223, 165, 225, 142, 202, 162, 222, 178, 238, 167, 227, 144, 204, 129, 189)(124, 184, 132, 192, 148, 208, 172, 232, 156, 216, 137, 197, 126, 186, 133, 193, 149, 209, 152, 212, 174, 234, 175, 235, 158, 218, 154, 214, 135, 195)(128, 188, 140, 200, 160, 220, 177, 237, 168, 228, 145, 205, 130, 190, 141, 201, 161, 221, 164, 224, 179, 239, 180, 240, 170, 230, 166, 226, 143, 203)
	L = (1, 124)(2, 128)(3, 132)(4, 134)(5, 135)(6, 121)(7, 140)(8, 142)(9, 143)(10, 122)(11, 148)(12, 150)(13, 123)(14, 152)(15, 153)(16, 154)(17, 125)(18, 126)(19, 160)(20, 162)(21, 127)(22, 164)(23, 165)(24, 166)(25, 129)(26, 130)(27, 172)(28, 173)(29, 131)(30, 174)(31, 133)(32, 147)(33, 149)(34, 151)(35, 158)(36, 136)(37, 137)(38, 138)(39, 177)(40, 178)(41, 139)(42, 179)(43, 141)(44, 159)(45, 161)(46, 163)(47, 170)(48, 144)(49, 145)(50, 146)(51, 156)(52, 155)(53, 175)(54, 171)(55, 157)(56, 168)(57, 167)(58, 180)(59, 176)(60, 169)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 60, 4, 60 ), ( 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.1449
Graph:: simple bipartite
	v = 34 e = 120 f = 32
	degree seq :: [ 4^30, 30^4 ]

E28.1442 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 15, 30})
Quotient :: dipole
Aut^+ = D60 (small group id <60, 12>)
Aut   = C2 x C2 x D30 (small group id <120, 46>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1 * Y2^-1)^2, Y3^-2 * Y2^-2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3^-1 * Y1)^2, (Y2 * Y1)^2, Y3^-2 * Y2^13, Y3^-2 * Y2^5 * Y3^-8, (Y3 * Y2^-1)^30 ]
Map:: non-degenerate
	R = (1, 61, 2, 62)(3, 63, 9, 69)(4, 64, 10, 70)(5, 65, 7, 67)(6, 66, 8, 68)(11, 71, 19, 79)(12, 72, 17, 77)(13, 73, 20, 80)(14, 74, 16, 76)(15, 75, 18, 78)(21, 81, 28, 88)(22, 82, 27, 87)(23, 83, 26, 86)(24, 84, 25, 85)(29, 89, 35, 95)(30, 90, 36, 96)(31, 91, 33, 93)(32, 92, 34, 94)(37, 97, 44, 104)(38, 98, 43, 103)(39, 99, 42, 102)(40, 100, 41, 101)(45, 105, 51, 111)(46, 106, 52, 112)(47, 107, 49, 109)(48, 108, 50, 110)(53, 113, 60, 120)(54, 114, 59, 119)(55, 115, 58, 118)(56, 116, 57, 117)(121, 181, 123, 183, 131, 191, 141, 201, 149, 209, 157, 217, 165, 225, 173, 233, 176, 236, 167, 227, 160, 220, 151, 211, 144, 204, 134, 194, 125, 185)(122, 182, 127, 187, 136, 196, 145, 205, 153, 213, 161, 221, 169, 229, 177, 237, 180, 240, 171, 231, 164, 224, 155, 215, 148, 208, 139, 199, 129, 189)(124, 184, 132, 192, 126, 186, 133, 193, 142, 202, 150, 210, 158, 218, 166, 226, 174, 234, 175, 235, 168, 228, 159, 219, 152, 212, 143, 203, 135, 195)(128, 188, 137, 197, 130, 190, 138, 198, 146, 206, 154, 214, 162, 222, 170, 230, 178, 238, 179, 239, 172, 232, 163, 223, 156, 216, 147, 207, 140, 200)
	L = (1, 124)(2, 128)(3, 132)(4, 134)(5, 135)(6, 121)(7, 137)(8, 139)(9, 140)(10, 122)(11, 126)(12, 125)(13, 123)(14, 143)(15, 144)(16, 130)(17, 129)(18, 127)(19, 147)(20, 148)(21, 133)(22, 131)(23, 151)(24, 152)(25, 138)(26, 136)(27, 155)(28, 156)(29, 142)(30, 141)(31, 159)(32, 160)(33, 146)(34, 145)(35, 163)(36, 164)(37, 150)(38, 149)(39, 167)(40, 168)(41, 154)(42, 153)(43, 171)(44, 172)(45, 158)(46, 157)(47, 175)(48, 176)(49, 162)(50, 161)(51, 179)(52, 180)(53, 166)(54, 165)(55, 173)(56, 174)(57, 170)(58, 169)(59, 177)(60, 178)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 60, 4, 60 ), ( 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.1453
Graph:: simple bipartite
	v = 34 e = 120 f = 32
	degree seq :: [ 4^30, 30^4 ]

E28.1443 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 15, 30})
Quotient :: dipole
Aut^+ = D60 (small group id <60, 12>)
Aut   = C2 x C2 x D30 (small group id <120, 46>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^-2, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, (Y2 * Y1)^2, Y2^15 ]
Map:: non-degenerate
	R = (1, 61, 2, 62)(3, 63, 9, 69)(4, 64, 10, 70)(5, 65, 7, 67)(6, 66, 8, 68)(11, 71, 17, 77)(12, 72, 18, 78)(13, 73, 15, 75)(14, 74, 16, 76)(19, 79, 25, 85)(20, 80, 26, 86)(21, 81, 23, 83)(22, 82, 24, 84)(27, 87, 33, 93)(28, 88, 34, 94)(29, 89, 31, 91)(30, 90, 32, 92)(35, 95, 41, 101)(36, 96, 42, 102)(37, 97, 39, 99)(38, 98, 40, 100)(43, 103, 49, 109)(44, 104, 50, 110)(45, 105, 47, 107)(46, 106, 48, 108)(51, 111, 57, 117)(52, 112, 58, 118)(53, 113, 55, 115)(54, 114, 56, 116)(59, 119, 60, 120)(121, 181, 123, 183, 131, 191, 139, 199, 147, 207, 155, 215, 163, 223, 171, 231, 173, 233, 165, 225, 157, 217, 149, 209, 141, 201, 133, 193, 125, 185)(122, 182, 127, 187, 135, 195, 143, 203, 151, 211, 159, 219, 167, 227, 175, 235, 177, 237, 169, 229, 161, 221, 153, 213, 145, 205, 137, 197, 129, 189)(124, 184, 132, 192, 140, 200, 148, 208, 156, 216, 164, 224, 172, 232, 179, 239, 174, 234, 166, 226, 158, 218, 150, 210, 142, 202, 134, 194, 126, 186)(128, 188, 136, 196, 144, 204, 152, 212, 160, 220, 168, 228, 176, 236, 180, 240, 178, 238, 170, 230, 162, 222, 154, 214, 146, 206, 138, 198, 130, 190)
	L = (1, 124)(2, 128)(3, 132)(4, 123)(5, 126)(6, 121)(7, 136)(8, 127)(9, 130)(10, 122)(11, 140)(12, 131)(13, 134)(14, 125)(15, 144)(16, 135)(17, 138)(18, 129)(19, 148)(20, 139)(21, 142)(22, 133)(23, 152)(24, 143)(25, 146)(26, 137)(27, 156)(28, 147)(29, 150)(30, 141)(31, 160)(32, 151)(33, 154)(34, 145)(35, 164)(36, 155)(37, 158)(38, 149)(39, 168)(40, 159)(41, 162)(42, 153)(43, 172)(44, 163)(45, 166)(46, 157)(47, 176)(48, 167)(49, 170)(50, 161)(51, 179)(52, 171)(53, 174)(54, 165)(55, 180)(56, 175)(57, 178)(58, 169)(59, 173)(60, 177)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 60, 4, 60 ), ( 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.1451
Graph:: simple bipartite
	v = 34 e = 120 f = 32
	degree seq :: [ 4^30, 30^4 ]

E28.1444 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 15, 30})
Quotient :: dipole
Aut^+ = D60 (small group id <60, 12>)
Aut   = C2 x C2 x D30 (small group id <120, 46>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2, Y3^-1), (R * Y1)^2, (Y3^-1 * Y1)^2, (Y2^-1 * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3^2 * Y2^-4, Y2^-3 * Y3^-6 ]
Map:: non-degenerate
	R = (1, 61, 2, 62)(3, 63, 9, 69)(4, 64, 10, 70)(5, 65, 7, 67)(6, 66, 8, 68)(11, 71, 24, 84)(12, 72, 25, 85)(13, 73, 23, 83)(14, 74, 26, 86)(15, 75, 21, 81)(16, 76, 19, 79)(17, 77, 20, 80)(18, 78, 22, 82)(27, 87, 40, 100)(28, 88, 42, 102)(29, 89, 38, 98)(30, 90, 43, 103)(31, 91, 36, 96)(32, 92, 44, 104)(33, 93, 37, 97)(34, 94, 39, 99)(35, 95, 41, 101)(45, 105, 56, 116)(46, 106, 58, 118)(47, 107, 59, 119)(48, 108, 53, 113)(49, 109, 60, 120)(50, 110, 54, 114)(51, 111, 55, 115)(52, 112, 57, 117)(121, 181, 123, 183, 131, 191, 147, 207, 134, 194, 150, 210, 166, 226, 172, 232, 169, 229, 170, 230, 154, 214, 138, 198, 151, 211, 136, 196, 125, 185)(122, 182, 127, 187, 139, 199, 156, 216, 142, 202, 159, 219, 174, 234, 180, 240, 177, 237, 178, 238, 163, 223, 146, 206, 160, 220, 144, 204, 129, 189)(124, 184, 132, 192, 148, 208, 165, 225, 152, 212, 167, 227, 171, 231, 155, 215, 168, 228, 153, 213, 137, 197, 126, 186, 133, 193, 149, 209, 135, 195)(128, 188, 140, 200, 157, 217, 173, 233, 161, 221, 175, 235, 179, 239, 164, 224, 176, 236, 162, 222, 145, 205, 130, 190, 141, 201, 158, 218, 143, 203)
	L = (1, 124)(2, 128)(3, 132)(4, 134)(5, 135)(6, 121)(7, 140)(8, 142)(9, 143)(10, 122)(11, 148)(12, 150)(13, 123)(14, 152)(15, 147)(16, 149)(17, 125)(18, 126)(19, 157)(20, 159)(21, 127)(22, 161)(23, 156)(24, 158)(25, 129)(26, 130)(27, 165)(28, 166)(29, 131)(30, 167)(31, 133)(32, 169)(33, 136)(34, 137)(35, 138)(36, 173)(37, 174)(38, 139)(39, 175)(40, 141)(41, 177)(42, 144)(43, 145)(44, 146)(45, 172)(46, 171)(47, 170)(48, 151)(49, 168)(50, 153)(51, 154)(52, 155)(53, 180)(54, 179)(55, 178)(56, 160)(57, 176)(58, 162)(59, 163)(60, 164)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 60, 4, 60 ), ( 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.1452
Graph:: simple bipartite
	v = 34 e = 120 f = 32
	degree seq :: [ 4^30, 30^4 ]

E28.1445 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 15, 30})
Quotient :: dipole
Aut^+ = C30 x C2 (small group id <60, 13>)
Aut   = C2 x C2 x D30 (small group id <120, 46>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, Y1^-1 * Y3 * Y1 * Y3, (R * Y3)^2, Y2 * Y1 * Y2 * Y1^-1, (R * Y1)^2, Y3 * Y2 * Y1^-3 * Y2 * Y3 * Y1^3, Y1^-15 * Y3 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 6, 66, 13, 73, 21, 81, 29, 89, 37, 97, 45, 105, 53, 113, 51, 111, 43, 103, 35, 95, 27, 87, 19, 79, 11, 71, 4, 64, 8, 68, 15, 75, 23, 83, 31, 91, 39, 99, 47, 107, 55, 115, 52, 112, 44, 104, 36, 96, 28, 88, 20, 80, 12, 72, 5, 65)(3, 63, 7, 67, 14, 74, 22, 82, 30, 90, 38, 98, 46, 106, 54, 114, 59, 119, 57, 117, 49, 109, 41, 101, 33, 93, 25, 85, 17, 77, 9, 69, 16, 76, 24, 84, 32, 92, 40, 100, 48, 108, 56, 116, 60, 120, 58, 118, 50, 110, 42, 102, 34, 94, 26, 86, 18, 78, 10, 70)(121, 181, 123, 183)(122, 182, 127, 187)(124, 184, 129, 189)(125, 185, 130, 190)(126, 186, 134, 194)(128, 188, 136, 196)(131, 191, 137, 197)(132, 192, 138, 198)(133, 193, 142, 202)(135, 195, 144, 204)(139, 199, 145, 205)(140, 200, 146, 206)(141, 201, 150, 210)(143, 203, 152, 212)(147, 207, 153, 213)(148, 208, 154, 214)(149, 209, 158, 218)(151, 211, 160, 220)(155, 215, 161, 221)(156, 216, 162, 222)(157, 217, 166, 226)(159, 219, 168, 228)(163, 223, 169, 229)(164, 224, 170, 230)(165, 225, 174, 234)(167, 227, 176, 236)(171, 231, 177, 237)(172, 232, 178, 238)(173, 233, 179, 239)(175, 235, 180, 240)
	L = (1, 124)(2, 128)(3, 129)(4, 121)(5, 131)(6, 135)(7, 136)(8, 122)(9, 123)(10, 137)(11, 125)(12, 139)(13, 143)(14, 144)(15, 126)(16, 127)(17, 130)(18, 145)(19, 132)(20, 147)(21, 151)(22, 152)(23, 133)(24, 134)(25, 138)(26, 153)(27, 140)(28, 155)(29, 159)(30, 160)(31, 141)(32, 142)(33, 146)(34, 161)(35, 148)(36, 163)(37, 167)(38, 168)(39, 149)(40, 150)(41, 154)(42, 169)(43, 156)(44, 171)(45, 175)(46, 176)(47, 157)(48, 158)(49, 162)(50, 177)(51, 164)(52, 173)(53, 172)(54, 180)(55, 165)(56, 166)(57, 170)(58, 179)(59, 178)(60, 174)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 30, 4, 30 ), ( 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30 ) }
Outer automorphisms :: reflexible
Dual of E28.1436
Graph:: bipartite
	v = 32 e = 120 f = 34
	degree seq :: [ 4^30, 60^2 ]

E28.1446 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 15, 30})
Quotient :: dipole
Aut^+ = D60 (small group id <60, 12>)
Aut   = C2 x C2 x D30 (small group id <120, 46>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (Y1^-1 * Y2)^2, Y3 * Y1 * Y3 * Y1^-1, (R * Y3)^2, Y3 * Y1^-15 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 6, 66, 13, 73, 21, 81, 29, 89, 37, 97, 45, 105, 53, 113, 51, 111, 43, 103, 35, 95, 27, 87, 19, 79, 11, 71, 4, 64, 8, 68, 15, 75, 23, 83, 31, 91, 39, 99, 47, 107, 55, 115, 52, 112, 44, 104, 36, 96, 28, 88, 20, 80, 12, 72, 5, 65)(3, 63, 9, 69, 17, 77, 25, 85, 33, 93, 41, 101, 49, 109, 57, 117, 60, 120, 56, 116, 48, 108, 40, 100, 32, 92, 24, 84, 16, 76, 10, 70, 18, 78, 26, 86, 34, 94, 42, 102, 50, 110, 58, 118, 59, 119, 54, 114, 46, 106, 38, 98, 30, 90, 22, 82, 14, 74, 7, 67)(121, 181, 123, 183)(122, 182, 127, 187)(124, 184, 130, 190)(125, 185, 129, 189)(126, 186, 134, 194)(128, 188, 136, 196)(131, 191, 138, 198)(132, 192, 137, 197)(133, 193, 142, 202)(135, 195, 144, 204)(139, 199, 146, 206)(140, 200, 145, 205)(141, 201, 150, 210)(143, 203, 152, 212)(147, 207, 154, 214)(148, 208, 153, 213)(149, 209, 158, 218)(151, 211, 160, 220)(155, 215, 162, 222)(156, 216, 161, 221)(157, 217, 166, 226)(159, 219, 168, 228)(163, 223, 170, 230)(164, 224, 169, 229)(165, 225, 174, 234)(167, 227, 176, 236)(171, 231, 178, 238)(172, 232, 177, 237)(173, 233, 179, 239)(175, 235, 180, 240)
	L = (1, 124)(2, 128)(3, 130)(4, 121)(5, 131)(6, 135)(7, 136)(8, 122)(9, 138)(10, 123)(11, 125)(12, 139)(13, 143)(14, 144)(15, 126)(16, 127)(17, 146)(18, 129)(19, 132)(20, 147)(21, 151)(22, 152)(23, 133)(24, 134)(25, 154)(26, 137)(27, 140)(28, 155)(29, 159)(30, 160)(31, 141)(32, 142)(33, 162)(34, 145)(35, 148)(36, 163)(37, 167)(38, 168)(39, 149)(40, 150)(41, 170)(42, 153)(43, 156)(44, 171)(45, 175)(46, 176)(47, 157)(48, 158)(49, 178)(50, 161)(51, 164)(52, 173)(53, 172)(54, 180)(55, 165)(56, 166)(57, 179)(58, 169)(59, 177)(60, 174)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 30, 4, 30 ), ( 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30 ) }
Outer automorphisms :: reflexible
Dual of E28.1437
Graph:: bipartite
	v = 32 e = 120 f = 34
	degree seq :: [ 4^30, 60^2 ]

E28.1447 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 15, 30})
Quotient :: dipole
Aut^+ = D60 (small group id <60, 12>)
Aut   = C2 x C2 x D30 (small group id <120, 46>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y1)^2, (Y2 * Y1^-1)^2, Y3 * Y1^5, Y3^6, (R * Y2 * Y3^-1)^2, (Y2 * Y3 * Y1)^2, Y1^-2 * Y3^-2 * Y1^-2 * Y3^-2 * Y1^-2 * Y3^-2 * Y1^-2 * Y3^-2 * Y1^-2 * Y3^-2 * Y1 * Y3^-2 * Y1^-1 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 7, 67, 19, 79, 17, 77, 6, 66, 10, 70, 22, 82, 37, 97, 35, 95, 18, 78, 26, 86, 41, 101, 52, 112, 49, 109, 32, 92, 44, 104, 55, 115, 50, 110, 33, 93, 14, 74, 25, 85, 40, 100, 34, 94, 15, 75, 4, 64, 9, 69, 21, 81, 16, 76, 5, 65)(3, 63, 11, 71, 27, 87, 39, 99, 24, 84, 13, 73, 29, 89, 45, 105, 54, 114, 43, 103, 31, 91, 47, 107, 57, 117, 60, 120, 56, 116, 48, 108, 58, 118, 59, 119, 53, 113, 42, 102, 30, 90, 46, 106, 51, 111, 38, 98, 23, 83, 12, 72, 28, 88, 36, 96, 20, 80, 8, 68)(121, 181, 123, 183)(122, 182, 128, 188)(124, 184, 133, 193)(125, 185, 131, 191)(126, 186, 132, 192)(127, 187, 140, 200)(129, 189, 144, 204)(130, 190, 143, 203)(134, 194, 151, 211)(135, 195, 149, 209)(136, 196, 147, 207)(137, 197, 148, 208)(138, 198, 150, 210)(139, 199, 156, 216)(141, 201, 159, 219)(142, 202, 158, 218)(145, 205, 163, 223)(146, 206, 162, 222)(152, 212, 168, 228)(153, 213, 167, 227)(154, 214, 165, 225)(155, 215, 166, 226)(157, 217, 171, 231)(160, 220, 174, 234)(161, 221, 173, 233)(164, 224, 176, 236)(169, 229, 178, 238)(170, 230, 177, 237)(172, 232, 179, 239)(175, 235, 180, 240)
	L = (1, 124)(2, 129)(3, 132)(4, 134)(5, 135)(6, 121)(7, 141)(8, 143)(9, 145)(10, 122)(11, 148)(12, 150)(13, 123)(14, 152)(15, 153)(16, 154)(17, 125)(18, 126)(19, 136)(20, 158)(21, 160)(22, 127)(23, 162)(24, 128)(25, 164)(26, 130)(27, 156)(28, 166)(29, 131)(30, 168)(31, 133)(32, 138)(33, 169)(34, 170)(35, 137)(36, 171)(37, 139)(38, 173)(39, 140)(40, 175)(41, 142)(42, 176)(43, 144)(44, 146)(45, 147)(46, 178)(47, 149)(48, 151)(49, 155)(50, 172)(51, 179)(52, 157)(53, 180)(54, 159)(55, 161)(56, 163)(57, 165)(58, 167)(59, 177)(60, 174)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 30, 4, 30 ), ( 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30 ) }
Outer automorphisms :: reflexible
Dual of E28.1438
Graph:: bipartite
	v = 32 e = 120 f = 34
	degree seq :: [ 4^30, 60^2 ]

E28.1448 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 15, 30})
Quotient :: dipole
Aut^+ = D60 (small group id <60, 12>)
Aut   = C2 x C2 x D30 (small group id <120, 46>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3, Y1^-1), (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y2 * Y1^-1)^2, Y3^3 * Y1^-3, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-3 * Y1^-4, Y1^-18 * Y3^-2, Y3^20, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 7, 67, 19, 79, 35, 95, 49, 109, 47, 107, 33, 93, 17, 77, 6, 66, 10, 70, 22, 82, 14, 74, 25, 85, 40, 100, 53, 113, 48, 108, 34, 94, 18, 78, 26, 86, 15, 75, 4, 64, 9, 69, 21, 81, 37, 97, 51, 111, 46, 106, 32, 92, 16, 76, 5, 65)(3, 63, 11, 71, 27, 87, 43, 103, 55, 115, 59, 119, 52, 112, 39, 99, 24, 84, 13, 73, 29, 89, 41, 101, 30, 90, 45, 105, 57, 117, 60, 120, 54, 114, 42, 102, 31, 91, 38, 98, 23, 83, 12, 72, 28, 88, 44, 104, 56, 116, 58, 118, 50, 110, 36, 96, 20, 80, 8, 68)(121, 181, 123, 183)(122, 182, 128, 188)(124, 184, 133, 193)(125, 185, 131, 191)(126, 186, 132, 192)(127, 187, 140, 200)(129, 189, 144, 204)(130, 190, 143, 203)(134, 194, 151, 211)(135, 195, 149, 209)(136, 196, 147, 207)(137, 197, 148, 208)(138, 198, 150, 210)(139, 199, 156, 216)(141, 201, 159, 219)(142, 202, 158, 218)(145, 205, 162, 222)(146, 206, 161, 221)(152, 212, 163, 223)(153, 213, 164, 224)(154, 214, 165, 225)(155, 215, 170, 230)(157, 217, 172, 232)(160, 220, 174, 234)(166, 226, 175, 235)(167, 227, 176, 236)(168, 228, 177, 237)(169, 229, 178, 238)(171, 231, 179, 239)(173, 233, 180, 240)
	L = (1, 124)(2, 129)(3, 132)(4, 134)(5, 135)(6, 121)(7, 141)(8, 143)(9, 145)(10, 122)(11, 148)(12, 150)(13, 123)(14, 139)(15, 142)(16, 146)(17, 125)(18, 126)(19, 157)(20, 158)(21, 160)(22, 127)(23, 161)(24, 128)(25, 155)(26, 130)(27, 164)(28, 165)(29, 131)(30, 163)(31, 133)(32, 138)(33, 136)(34, 137)(35, 171)(36, 151)(37, 173)(38, 149)(39, 140)(40, 169)(41, 147)(42, 144)(43, 176)(44, 177)(45, 175)(46, 154)(47, 152)(48, 153)(49, 166)(50, 162)(51, 168)(52, 156)(53, 167)(54, 159)(55, 178)(56, 180)(57, 179)(58, 174)(59, 170)(60, 172)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 30, 4, 30 ), ( 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30 ) }
Outer automorphisms :: reflexible
Dual of E28.1440
Graph:: bipartite
	v = 32 e = 120 f = 34
	degree seq :: [ 4^30, 60^2 ]

E28.1449 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 15, 30})
Quotient :: dipole
Aut^+ = D60 (small group id <60, 12>)
Aut   = C2 x C2 x D30 (small group id <120, 46>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3 * Y1^-3, (Y3 * Y2)^2, (R * Y3)^2, (Y2 * Y1^-1)^2, (R * Y1)^2, (Y3^-1, Y1^-1), (R * Y2 * Y3^-1)^2, Y3^10, (Y1^-1 * Y3^-1)^15 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 7, 67, 4, 64, 9, 69, 18, 78, 14, 74, 21, 81, 30, 90, 26, 86, 33, 93, 42, 102, 38, 98, 45, 105, 53, 113, 50, 110, 56, 116, 51, 111, 40, 100, 46, 106, 39, 99, 28, 88, 34, 94, 27, 87, 16, 76, 22, 82, 15, 75, 6, 66, 10, 70, 5, 65)(3, 63, 11, 71, 19, 79, 12, 72, 23, 83, 31, 91, 24, 84, 35, 95, 43, 103, 36, 96, 47, 107, 54, 114, 48, 108, 57, 117, 60, 120, 58, 118, 59, 119, 55, 115, 49, 109, 52, 112, 44, 104, 37, 97, 41, 101, 32, 92, 25, 85, 29, 89, 20, 80, 13, 73, 17, 77, 8, 68)(121, 181, 123, 183)(122, 182, 128, 188)(124, 184, 133, 193)(125, 185, 131, 191)(126, 186, 132, 192)(127, 187, 137, 197)(129, 189, 140, 200)(130, 190, 139, 199)(134, 194, 145, 205)(135, 195, 143, 203)(136, 196, 144, 204)(138, 198, 149, 209)(141, 201, 152, 212)(142, 202, 151, 211)(146, 206, 157, 217)(147, 207, 155, 215)(148, 208, 156, 216)(150, 210, 161, 221)(153, 213, 164, 224)(154, 214, 163, 223)(158, 218, 169, 229)(159, 219, 167, 227)(160, 220, 168, 228)(162, 222, 172, 232)(165, 225, 175, 235)(166, 226, 174, 234)(170, 230, 178, 238)(171, 231, 177, 237)(173, 233, 179, 239)(176, 236, 180, 240)
	L = (1, 124)(2, 129)(3, 132)(4, 134)(5, 127)(6, 121)(7, 138)(8, 139)(9, 141)(10, 122)(11, 143)(12, 144)(13, 123)(14, 146)(15, 125)(16, 126)(17, 131)(18, 150)(19, 151)(20, 128)(21, 153)(22, 130)(23, 155)(24, 156)(25, 133)(26, 158)(27, 135)(28, 136)(29, 137)(30, 162)(31, 163)(32, 140)(33, 165)(34, 142)(35, 167)(36, 168)(37, 145)(38, 170)(39, 147)(40, 148)(41, 149)(42, 173)(43, 174)(44, 152)(45, 176)(46, 154)(47, 177)(48, 178)(49, 157)(50, 160)(51, 159)(52, 161)(53, 171)(54, 180)(55, 164)(56, 166)(57, 179)(58, 169)(59, 172)(60, 175)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 30, 4, 30 ), ( 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30 ) }
Outer automorphisms :: reflexible
Dual of E28.1441
Graph:: bipartite
	v = 32 e = 120 f = 34
	degree seq :: [ 4^30, 60^2 ]

E28.1450 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 15, 30})
Quotient :: dipole
Aut^+ = D60 (small group id <60, 12>)
Aut   = C2 x C2 x D30 (small group id <120, 46>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^-1 * Y1^-3, (Y3 * Y2)^2, (Y2 * Y1^-1)^2, (Y3, Y1^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^10 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 7, 67, 6, 66, 10, 70, 18, 78, 16, 76, 22, 82, 30, 90, 28, 88, 34, 94, 42, 102, 40, 100, 46, 106, 53, 113, 50, 110, 56, 116, 51, 111, 38, 98, 45, 105, 39, 99, 26, 86, 33, 93, 27, 87, 14, 74, 21, 81, 15, 75, 4, 64, 9, 69, 5, 65)(3, 63, 11, 71, 20, 80, 13, 73, 23, 83, 32, 92, 25, 85, 35, 95, 44, 104, 37, 97, 47, 107, 55, 115, 49, 109, 57, 117, 60, 120, 58, 118, 59, 119, 54, 114, 48, 108, 52, 112, 43, 103, 36, 96, 41, 101, 31, 91, 24, 84, 29, 89, 19, 79, 12, 72, 17, 77, 8, 68)(121, 181, 123, 183)(122, 182, 128, 188)(124, 184, 133, 193)(125, 185, 131, 191)(126, 186, 132, 192)(127, 187, 137, 197)(129, 189, 140, 200)(130, 190, 139, 199)(134, 194, 145, 205)(135, 195, 143, 203)(136, 196, 144, 204)(138, 198, 149, 209)(141, 201, 152, 212)(142, 202, 151, 211)(146, 206, 157, 217)(147, 207, 155, 215)(148, 208, 156, 216)(150, 210, 161, 221)(153, 213, 164, 224)(154, 214, 163, 223)(158, 218, 169, 229)(159, 219, 167, 227)(160, 220, 168, 228)(162, 222, 172, 232)(165, 225, 175, 235)(166, 226, 174, 234)(170, 230, 178, 238)(171, 231, 177, 237)(173, 233, 179, 239)(176, 236, 180, 240)
	L = (1, 124)(2, 129)(3, 132)(4, 134)(5, 135)(6, 121)(7, 125)(8, 139)(9, 141)(10, 122)(11, 137)(12, 144)(13, 123)(14, 146)(15, 147)(16, 126)(17, 149)(18, 127)(19, 151)(20, 128)(21, 153)(22, 130)(23, 131)(24, 156)(25, 133)(26, 158)(27, 159)(28, 136)(29, 161)(30, 138)(31, 163)(32, 140)(33, 165)(34, 142)(35, 143)(36, 168)(37, 145)(38, 170)(39, 171)(40, 148)(41, 172)(42, 150)(43, 174)(44, 152)(45, 176)(46, 154)(47, 155)(48, 178)(49, 157)(50, 160)(51, 173)(52, 179)(53, 162)(54, 180)(55, 164)(56, 166)(57, 167)(58, 169)(59, 177)(60, 175)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 30, 4, 30 ), ( 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30 ) }
Outer automorphisms :: reflexible
Dual of E28.1439
Graph:: bipartite
	v = 32 e = 120 f = 34
	degree seq :: [ 4^30, 60^2 ]

E28.1451 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 15, 30})
Quotient :: dipole
Aut^+ = D60 (small group id <60, 12>)
Aut   = C2 x C2 x D30 (small group id <120, 46>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^-1 * Y1, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y1^30, (Y3^-1 * Y1^-1)^15 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 5, 65, 9, 69, 13, 73, 17, 77, 21, 81, 25, 85, 49, 109, 55, 115, 60, 120, 56, 116, 52, 112, 48, 108, 46, 106, 43, 103, 40, 100, 36, 96, 32, 92, 29, 89, 30, 90, 33, 93, 37, 97, 28, 88, 24, 84, 20, 80, 16, 76, 12, 72, 8, 68, 4, 64)(3, 63, 7, 67, 11, 71, 15, 75, 19, 79, 23, 83, 27, 87, 51, 111, 57, 117, 59, 119, 54, 114, 53, 113, 58, 118, 50, 110, 47, 107, 44, 104, 41, 101, 38, 98, 34, 94, 31, 91, 35, 95, 39, 99, 42, 102, 45, 105, 26, 86, 22, 82, 18, 78, 14, 74, 10, 70, 6, 66)(121, 181, 123, 183)(122, 182, 126, 186)(124, 184, 127, 187)(125, 185, 130, 190)(128, 188, 131, 191)(129, 189, 134, 194)(132, 192, 135, 195)(133, 193, 138, 198)(136, 196, 139, 199)(137, 197, 142, 202)(140, 200, 143, 203)(141, 201, 146, 206)(144, 204, 147, 207)(145, 205, 165, 225)(148, 208, 171, 231)(149, 209, 173, 233)(150, 210, 174, 234)(151, 211, 176, 236)(152, 212, 178, 238)(153, 213, 179, 239)(154, 214, 172, 232)(155, 215, 180, 240)(156, 216, 170, 230)(157, 217, 177, 237)(158, 218, 168, 228)(159, 219, 175, 235)(160, 220, 167, 227)(161, 221, 166, 226)(162, 222, 169, 229)(163, 223, 164, 224)
	L = (1, 122)(2, 125)(3, 127)(4, 121)(5, 129)(6, 123)(7, 131)(8, 124)(9, 133)(10, 126)(11, 135)(12, 128)(13, 137)(14, 130)(15, 139)(16, 132)(17, 141)(18, 134)(19, 143)(20, 136)(21, 145)(22, 138)(23, 147)(24, 140)(25, 169)(26, 142)(27, 171)(28, 144)(29, 150)(30, 153)(31, 155)(32, 149)(33, 157)(34, 151)(35, 159)(36, 152)(37, 148)(38, 154)(39, 162)(40, 156)(41, 158)(42, 165)(43, 160)(44, 161)(45, 146)(46, 163)(47, 164)(48, 166)(49, 175)(50, 167)(51, 177)(52, 168)(53, 178)(54, 173)(55, 180)(56, 172)(57, 179)(58, 170)(59, 174)(60, 176)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 30, 4, 30 ), ( 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30 ) }
Outer automorphisms :: reflexible
Dual of E28.1443
Graph:: bipartite
	v = 32 e = 120 f = 34
	degree seq :: [ 4^30, 60^2 ]

E28.1452 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 15, 30})
Quotient :: dipole
Aut^+ = D60 (small group id <60, 12>)
Aut   = C2 x C2 x D30 (small group id <120, 46>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3, Y1), (Y3 * Y2)^2, (Y2 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^-2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y3^-6 * Y1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 7, 67, 19, 79, 18, 78, 26, 86, 40, 100, 52, 112, 49, 109, 32, 92, 43, 103, 34, 94, 15, 75, 4, 64, 9, 69, 21, 81, 17, 77, 6, 66, 10, 70, 22, 82, 37, 97, 35, 95, 44, 104, 54, 114, 50, 110, 33, 93, 14, 74, 25, 85, 16, 76, 5, 65)(3, 63, 11, 71, 27, 87, 42, 102, 31, 91, 46, 106, 57, 117, 60, 120, 55, 115, 47, 107, 51, 111, 38, 98, 23, 83, 12, 72, 28, 88, 39, 99, 24, 84, 13, 73, 29, 89, 45, 105, 56, 116, 48, 108, 58, 118, 59, 119, 53, 113, 41, 101, 30, 90, 36, 96, 20, 80, 8, 68)(121, 181, 123, 183)(122, 182, 128, 188)(124, 184, 133, 193)(125, 185, 131, 191)(126, 186, 132, 192)(127, 187, 140, 200)(129, 189, 144, 204)(130, 190, 143, 203)(134, 194, 151, 211)(135, 195, 149, 209)(136, 196, 147, 207)(137, 197, 148, 208)(138, 198, 150, 210)(139, 199, 156, 216)(141, 201, 159, 219)(142, 202, 158, 218)(145, 205, 162, 222)(146, 206, 161, 221)(152, 212, 168, 228)(153, 213, 166, 226)(154, 214, 165, 225)(155, 215, 167, 227)(157, 217, 171, 231)(160, 220, 173, 233)(163, 223, 176, 236)(164, 224, 175, 235)(169, 229, 178, 238)(170, 230, 177, 237)(172, 232, 179, 239)(174, 234, 180, 240)
	L = (1, 124)(2, 129)(3, 132)(4, 134)(5, 135)(6, 121)(7, 141)(8, 143)(9, 145)(10, 122)(11, 148)(12, 150)(13, 123)(14, 152)(15, 153)(16, 154)(17, 125)(18, 126)(19, 137)(20, 158)(21, 136)(22, 127)(23, 161)(24, 128)(25, 163)(26, 130)(27, 159)(28, 156)(29, 131)(30, 167)(31, 133)(32, 164)(33, 169)(34, 170)(35, 138)(36, 171)(37, 139)(38, 173)(39, 140)(40, 142)(41, 175)(42, 144)(43, 174)(44, 146)(45, 147)(46, 149)(47, 178)(48, 151)(49, 155)(50, 172)(51, 179)(52, 157)(53, 180)(54, 160)(55, 168)(56, 162)(57, 165)(58, 166)(59, 177)(60, 176)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 30, 4, 30 ), ( 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30 ) }
Outer automorphisms :: reflexible
Dual of E28.1444
Graph:: bipartite
	v = 32 e = 120 f = 34
	degree seq :: [ 4^30, 60^2 ]

E28.1453 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 15, 30})
Quotient :: dipole
Aut^+ = D60 (small group id <60, 12>)
Aut   = C2 x C2 x D30 (small group id <120, 46>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, (Y1^-1 * Y2)^2, (R * Y1)^2, (Y3, Y1^-1), (Y3^-1 * Y1 * Y2)^2, Y3^-1 * Y1^-1 * Y3^-3 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y3^2 * Y1^3 * Y3, Y1^-7 * Y3, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 7, 67, 19, 79, 36, 96, 34, 94, 15, 75, 4, 64, 9, 69, 21, 81, 38, 98, 52, 112, 50, 110, 33, 93, 14, 74, 25, 85, 18, 78, 26, 86, 42, 102, 55, 115, 49, 109, 32, 92, 17, 77, 6, 66, 10, 70, 22, 82, 39, 99, 35, 95, 16, 76, 5, 65)(3, 63, 11, 71, 27, 87, 45, 105, 53, 113, 40, 100, 23, 83, 12, 72, 28, 88, 46, 106, 57, 117, 60, 120, 56, 116, 43, 103, 30, 90, 44, 104, 31, 91, 48, 108, 58, 118, 59, 119, 54, 114, 41, 101, 24, 84, 13, 73, 29, 89, 47, 107, 51, 111, 37, 97, 20, 80, 8, 68)(121, 181, 123, 183)(122, 182, 128, 188)(124, 184, 133, 193)(125, 185, 131, 191)(126, 186, 132, 192)(127, 187, 140, 200)(129, 189, 144, 204)(130, 190, 143, 203)(134, 194, 151, 211)(135, 195, 149, 209)(136, 196, 147, 207)(137, 197, 148, 208)(138, 198, 150, 210)(139, 199, 157, 217)(141, 201, 161, 221)(142, 202, 160, 220)(145, 205, 164, 224)(146, 206, 163, 223)(152, 212, 166, 226)(153, 213, 168, 228)(154, 214, 167, 227)(155, 215, 165, 225)(156, 216, 171, 231)(158, 218, 174, 234)(159, 219, 173, 233)(162, 222, 176, 236)(169, 229, 177, 237)(170, 230, 178, 238)(172, 232, 179, 239)(175, 235, 180, 240)
	L = (1, 124)(2, 129)(3, 132)(4, 134)(5, 135)(6, 121)(7, 141)(8, 143)(9, 145)(10, 122)(11, 148)(12, 150)(13, 123)(14, 152)(15, 153)(16, 154)(17, 125)(18, 126)(19, 158)(20, 160)(21, 138)(22, 127)(23, 163)(24, 128)(25, 137)(26, 130)(27, 166)(28, 164)(29, 131)(30, 161)(31, 133)(32, 136)(33, 169)(34, 170)(35, 156)(36, 172)(37, 173)(38, 146)(39, 139)(40, 176)(41, 140)(42, 142)(43, 174)(44, 144)(45, 177)(46, 151)(47, 147)(48, 149)(49, 155)(50, 175)(51, 165)(52, 162)(53, 180)(54, 157)(55, 159)(56, 179)(57, 168)(58, 167)(59, 171)(60, 178)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 30, 4, 30 ), ( 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30 ) }
Outer automorphisms :: reflexible
Dual of E28.1442
Graph:: bipartite
	v = 32 e = 120 f = 34
	degree seq :: [ 4^30, 60^2 ]

E28.1454 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {30, 30, 30})
Quotient :: edge
Aut^+ = C30 x C2 (small group id <60, 13>)
Aut   = C2 x C2 x D30 (small group id <120, 46>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2^-1, T1^-1), (F * T1)^2, T2^-4 * T1^-2, T2^2 * T1^-14, T2^2 * T1^-14 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 11, 21, 28, 35, 30, 37, 44, 51, 46, 53, 55, 60, 58, 49, 39, 48, 42, 33, 23, 32, 26, 16, 6, 15, 13, 5)(2, 7, 17, 12, 4, 10, 20, 27, 22, 29, 36, 43, 38, 45, 52, 59, 54, 57, 47, 56, 50, 41, 31, 40, 34, 25, 14, 24, 18, 8)(61, 62, 66, 74, 83, 91, 99, 107, 115, 112, 104, 96, 88, 80, 69, 77, 73, 78, 86, 94, 102, 110, 118, 114, 106, 98, 90, 82, 71, 64)(63, 67, 75, 84, 92, 100, 108, 116, 120, 119, 111, 103, 95, 87, 79, 72, 65, 68, 76, 85, 93, 101, 109, 117, 113, 105, 97, 89, 81, 70)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 60^30 ) }
Outer automorphisms :: reflexible
Dual of E28.1455
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 60 f = 2
	degree seq :: [ 30^4 ]

E28.1455 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {30, 30, 30})
Quotient :: loop
Aut^+ = C30 x C2 (small group id <60, 13>)
Aut   = C2 x C2 x D30 (small group id <120, 46>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1^-1)^2, T1^2 * T2^-2, (F * T2)^2, (F * T1)^2, T2^2 * T1^28, (T2^-1 * T1^-1)^30 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 6, 66, 12, 72, 15, 75, 20, 80, 23, 83, 28, 88, 34, 94, 38, 98, 32, 92, 37, 97, 39, 99, 42, 102, 43, 103, 46, 106, 47, 107, 53, 113, 49, 109, 51, 111, 54, 114, 58, 118, 59, 119, 30, 90, 25, 85, 22, 82, 17, 77, 14, 74, 9, 69, 5, 65)(2, 62, 7, 67, 11, 71, 16, 76, 19, 79, 24, 84, 27, 87, 35, 95, 31, 91, 33, 93, 36, 96, 40, 100, 41, 101, 44, 104, 45, 105, 48, 108, 52, 112, 56, 116, 50, 110, 55, 115, 57, 117, 60, 120, 29, 89, 26, 86, 21, 81, 18, 78, 13, 73, 10, 70, 4, 64, 8, 68)
	L = (1, 62)(2, 66)(3, 67)(4, 61)(5, 68)(6, 71)(7, 72)(8, 63)(9, 64)(10, 65)(11, 75)(12, 76)(13, 69)(14, 70)(15, 79)(16, 80)(17, 73)(18, 74)(19, 83)(20, 84)(21, 77)(22, 78)(23, 87)(24, 88)(25, 81)(26, 82)(27, 94)(28, 95)(29, 85)(30, 86)(31, 92)(32, 96)(33, 97)(34, 91)(35, 98)(36, 99)(37, 100)(38, 93)(39, 101)(40, 102)(41, 103)(42, 104)(43, 105)(44, 106)(45, 107)(46, 108)(47, 112)(48, 113)(49, 110)(50, 114)(51, 115)(52, 109)(53, 116)(54, 117)(55, 118)(56, 111)(57, 119)(58, 120)(59, 89)(60, 90)
	local type(s) :: { ( 30^60 ) }
Outer automorphisms :: reflexible
Dual of E28.1454
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 60 f = 4
	degree seq :: [ 60^2 ]

E28.1456 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {30, 30, 30})
Quotient :: dipole
Aut^+ = C30 x C2 (small group id <60, 13>)
Aut   = C2 x C2 x D30 (small group id <120, 46>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y1 * Y3, (R * Y1)^2, (Y2, Y3^-1), (Y2, Y1^-1), (R * Y3)^2, (R * Y2)^2, Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y1^-1, Y3 * Y2^-2 * Y1^-3, Y2^12 * Y1^-1 * Y2 * Y1^-1 * Y2, Y2^-2 * Y1^26, Y1^2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y2^-2 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 13, 73, 18, 78, 24, 84, 31, 91, 30, 90, 34, 94, 40, 100, 47, 107, 46, 106, 50, 110, 56, 116, 60, 120, 59, 119, 52, 112, 43, 103, 49, 109, 45, 105, 36, 96, 27, 87, 33, 93, 29, 89, 20, 80, 9, 69, 17, 77, 11, 71, 4, 64)(3, 63, 7, 67, 15, 75, 12, 72, 5, 65, 8, 68, 16, 76, 23, 83, 22, 82, 26, 86, 32, 92, 39, 99, 38, 98, 42, 102, 48, 108, 55, 115, 54, 114, 58, 118, 51, 111, 57, 117, 53, 113, 44, 104, 35, 95, 41, 101, 37, 97, 28, 88, 19, 79, 25, 85, 21, 81, 10, 70)(121, 181, 123, 183, 129, 189, 139, 199, 147, 207, 155, 215, 163, 223, 171, 231, 176, 236, 168, 228, 160, 220, 152, 212, 144, 204, 136, 196, 126, 186, 135, 195, 131, 191, 141, 201, 149, 209, 157, 217, 165, 225, 173, 233, 179, 239, 174, 234, 166, 226, 158, 218, 150, 210, 142, 202, 133, 193, 125, 185)(122, 182, 127, 187, 137, 197, 145, 205, 153, 213, 161, 221, 169, 229, 177, 237, 180, 240, 175, 235, 167, 227, 159, 219, 151, 211, 143, 203, 134, 194, 132, 192, 124, 184, 130, 190, 140, 200, 148, 208, 156, 216, 164, 224, 172, 232, 178, 238, 170, 230, 162, 222, 154, 214, 146, 206, 138, 198, 128, 188)
	L = (1, 124)(2, 121)(3, 130)(4, 131)(5, 132)(6, 122)(7, 123)(8, 125)(9, 140)(10, 141)(11, 137)(12, 135)(13, 134)(14, 126)(15, 127)(16, 128)(17, 129)(18, 133)(19, 148)(20, 149)(21, 145)(22, 143)(23, 136)(24, 138)(25, 139)(26, 142)(27, 156)(28, 157)(29, 153)(30, 151)(31, 144)(32, 146)(33, 147)(34, 150)(35, 164)(36, 165)(37, 161)(38, 159)(39, 152)(40, 154)(41, 155)(42, 158)(43, 172)(44, 173)(45, 169)(46, 167)(47, 160)(48, 162)(49, 163)(50, 166)(51, 178)(52, 179)(53, 177)(54, 175)(55, 168)(56, 170)(57, 171)(58, 174)(59, 180)(60, 176)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.1457
Graph:: bipartite
	v = 4 e = 120 f = 62
	degree seq :: [ 60^4 ]

E28.1457 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {30, 30, 30})
Quotient :: dipole
Aut^+ = C30 x C2 (small group id <60, 13>)
Aut   = C2 x C2 x D30 (small group id <120, 46>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y3^-1 * Y2^-1)^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3^-2 * Y2^-2, Y3^-2 * Y2^28, (Y3 * Y2^-1)^30, (Y3^-1 * Y1^-1)^30 ]
Map::
	R = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)(121, 181, 122, 182, 126, 186, 131, 191, 135, 195, 139, 199, 143, 203, 147, 207, 154, 214, 151, 211, 152, 212, 156, 216, 159, 219, 161, 221, 163, 223, 165, 225, 167, 227, 174, 234, 171, 231, 172, 232, 176, 236, 179, 239, 169, 229, 150, 210, 145, 205, 142, 202, 137, 197, 134, 194, 129, 189, 124, 184)(123, 183, 127, 187, 125, 185, 128, 188, 132, 192, 136, 196, 140, 200, 144, 204, 148, 208, 153, 213, 157, 217, 155, 215, 158, 218, 160, 220, 162, 222, 164, 224, 166, 226, 168, 228, 173, 233, 177, 237, 175, 235, 178, 238, 180, 240, 170, 230, 149, 209, 146, 206, 141, 201, 138, 198, 133, 193, 130, 190)
	L = (1, 123)(2, 127)(3, 129)(4, 130)(5, 121)(6, 125)(7, 124)(8, 122)(9, 133)(10, 134)(11, 128)(12, 126)(13, 137)(14, 138)(15, 132)(16, 131)(17, 141)(18, 142)(19, 136)(20, 135)(21, 145)(22, 146)(23, 140)(24, 139)(25, 149)(26, 150)(27, 144)(28, 143)(29, 169)(30, 170)(31, 153)(32, 157)(33, 147)(34, 148)(35, 151)(36, 155)(37, 154)(38, 152)(39, 158)(40, 156)(41, 160)(42, 159)(43, 162)(44, 161)(45, 164)(46, 163)(47, 166)(48, 165)(49, 180)(50, 179)(51, 173)(52, 177)(53, 167)(54, 168)(55, 171)(56, 175)(57, 174)(58, 172)(59, 178)(60, 176)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 60, 60 ), ( 60^60 ) }
Outer automorphisms :: reflexible
Dual of E28.1456
Graph:: simple bipartite
	v = 62 e = 120 f = 4
	degree seq :: [ 2^60, 60^2 ]

E28.1458 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {20, 30, 60})
Quotient :: edge
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2), (F * T2)^2, (F * T1)^2, T2^2 * T1^-1 * T2 * T1^-5, T1 * T2^9 * T1, T2^-2 * T1^-3 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 47, 51, 39, 23, 11, 21, 35, 26, 42, 54, 60, 58, 49, 37, 30, 16, 6, 15, 29, 44, 53, 41, 25, 13, 5)(2, 7, 17, 31, 45, 52, 40, 24, 12, 4, 10, 20, 34, 48, 57, 59, 50, 38, 22, 36, 28, 14, 27, 43, 55, 56, 46, 32, 18, 8)(61, 62, 66, 74, 86, 94, 79, 91, 104, 115, 120, 119, 111, 100, 85, 92, 97, 82, 71, 64)(63, 67, 75, 87, 102, 108, 93, 105, 113, 116, 118, 110, 99, 84, 73, 78, 90, 96, 81, 70)(65, 68, 76, 88, 95, 80, 69, 77, 89, 103, 114, 117, 107, 112, 101, 106, 109, 98, 83, 72)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 120^20 ), ( 120^30 ) }
Outer automorphisms :: reflexible
Dual of E28.1471
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 60 f = 1
	degree seq :: [ 20^3, 30^2 ]

E28.1459 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {20, 30, 60})
Quotient :: edge
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T2)^2, (F * T1)^2, T2^3 * T1^6, T2^-9 * T1^2 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 47, 44, 30, 16, 6, 15, 29, 37, 51, 58, 60, 54, 42, 26, 39, 23, 11, 21, 35, 49, 53, 41, 25, 13, 5)(2, 7, 17, 31, 45, 56, 55, 43, 28, 14, 27, 38, 22, 36, 50, 57, 59, 52, 40, 24, 12, 4, 10, 20, 34, 48, 46, 32, 18, 8)(61, 62, 66, 74, 86, 100, 85, 92, 104, 115, 120, 117, 109, 94, 79, 91, 97, 82, 71, 64)(63, 67, 75, 87, 99, 84, 73, 78, 90, 103, 114, 119, 113, 108, 93, 105, 111, 96, 81, 70)(65, 68, 76, 88, 102, 112, 101, 106, 107, 116, 118, 110, 95, 80, 69, 77, 89, 98, 83, 72)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 120^20 ), ( 120^30 ) }
Outer automorphisms :: reflexible
Dual of E28.1472
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 60 f = 1
	degree seq :: [ 20^3, 30^2 ]

E28.1460 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {20, 30, 60})
Quotient :: edge
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1^-1), T2^3 * T1^2, T1^-20, T1^20 ]
Map:: non-degenerate
	R = (1, 3, 9, 11, 18, 23, 25, 30, 35, 37, 42, 47, 49, 54, 59, 56, 58, 51, 44, 46, 39, 32, 34, 27, 20, 22, 15, 6, 13, 5)(2, 7, 12, 4, 10, 17, 19, 24, 29, 31, 36, 41, 43, 48, 53, 55, 60, 57, 50, 52, 45, 38, 40, 33, 26, 28, 21, 14, 16, 8)(61, 62, 66, 74, 80, 86, 92, 98, 104, 110, 116, 115, 109, 103, 97, 91, 85, 79, 71, 64)(63, 67, 73, 76, 82, 88, 94, 100, 106, 112, 118, 120, 114, 108, 102, 96, 90, 84, 78, 70)(65, 68, 75, 81, 87, 93, 99, 105, 111, 117, 119, 113, 107, 101, 95, 89, 83, 77, 69, 72)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 120^20 ), ( 120^30 ) }
Outer automorphisms :: reflexible
Dual of E28.1470
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 60 f = 1
	degree seq :: [ 20^3, 30^2 ]

E28.1461 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {20, 30, 60})
Quotient :: edge
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ F^2, T1^-1 * T2^2, (F * T1)^2, (F * T2)^2, T1^30, (T2^-1 * T1^-1)^20 ]
Map:: non-degenerate
	R = (1, 3, 2, 7, 6, 11, 10, 15, 14, 19, 18, 23, 22, 27, 26, 37, 38, 33, 34, 30, 32, 31, 36, 35, 40, 39, 42, 41, 44, 43, 46, 45, 48, 47, 56, 57, 52, 53, 49, 51, 50, 55, 54, 59, 58, 60, 28, 29, 24, 25, 20, 21, 16, 17, 12, 13, 8, 9, 4, 5)(61, 62, 66, 70, 74, 78, 82, 86, 98, 94, 92, 96, 100, 102, 104, 106, 108, 116, 112, 109, 110, 114, 118, 88, 84, 80, 76, 72, 68, 64)(63, 67, 71, 75, 79, 83, 87, 97, 93, 90, 91, 95, 99, 101, 103, 105, 107, 117, 113, 111, 115, 119, 120, 89, 85, 81, 77, 73, 69, 65)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 40^30 ), ( 40^60 ) }
Outer automorphisms :: reflexible
Dual of E28.1474
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 60 f = 3
	degree seq :: [ 30^2, 60 ]

E28.1462 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {20, 30, 60})
Quotient :: edge
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^-1 * T1 * T2^-1 * T1^6, T1 * T2 * T1 * T2^7, T2^3 * T1^-2 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-2 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 48, 39, 23, 11, 21, 35, 50, 57, 60, 58, 51, 37, 28, 14, 27, 43, 54, 47, 32, 18, 8, 2, 7, 17, 31, 46, 40, 24, 12, 4, 10, 20, 34, 49, 56, 52, 38, 22, 36, 26, 42, 53, 59, 55, 45, 30, 16, 6, 15, 29, 44, 41, 25, 13, 5)(61, 62, 66, 74, 86, 95, 80, 69, 77, 89, 103, 113, 117, 109, 93, 106, 101, 107, 115, 118, 112, 99, 84, 73, 78, 90, 97, 82, 71, 64)(63, 67, 75, 87, 102, 110, 94, 79, 91, 104, 114, 119, 120, 116, 108, 100, 85, 92, 105, 111, 98, 83, 72, 65, 68, 76, 88, 96, 81, 70)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 40^30 ), ( 40^60 ) }
Outer automorphisms :: reflexible
Dual of E28.1475
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 60 f = 3
	degree seq :: [ 30^2, 60 ]

E28.1463 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {20, 30, 60})
Quotient :: edge
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^3 * T1^2 * T2^2 * T1 * T2, T2 * T1^-1 * T2 * T1^-3 * T2^2 * T1^-4, T2^2 * T1^4 * T2^-2 * T1^-4, T2^-2 * T1^-3 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 38, 22, 36, 50, 56, 42, 55, 59, 46, 30, 16, 6, 15, 29, 40, 24, 12, 4, 10, 20, 34, 48, 53, 37, 51, 57, 44, 26, 43, 47, 32, 18, 8, 2, 7, 17, 31, 39, 23, 11, 21, 35, 49, 54, 60, 52, 58, 45, 28, 14, 27, 41, 25, 13, 5)(61, 62, 66, 74, 86, 102, 114, 108, 93, 99, 84, 73, 78, 90, 105, 117, 110, 95, 80, 69, 77, 89, 101, 107, 119, 112, 97, 82, 71, 64)(63, 67, 75, 87, 103, 115, 120, 113, 98, 83, 72, 65, 68, 76, 88, 104, 116, 109, 94, 79, 91, 100, 85, 92, 106, 118, 111, 96, 81, 70)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 40^30 ), ( 40^60 ) }
Outer automorphisms :: reflexible
Dual of E28.1473
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 60 f = 3
	degree seq :: [ 30^2, 60 ]

E28.1464 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {20, 30, 60})
Quotient :: edge
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1), (F * T1)^2, (F * T2)^2, T2^3 * T1^-3, T1^-18 * T2^-2, T1^-8 * T2^-1 * T1^-1 * T2^-1 * T1^-9, T2^20, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 14, 23, 30, 34, 41, 48, 52, 59, 55, 51, 44, 37, 33, 26, 19, 13, 5)(2, 7, 17, 22, 29, 36, 40, 47, 54, 58, 56, 49, 45, 38, 31, 27, 20, 11, 18, 8)(4, 10, 16, 6, 15, 24, 28, 35, 42, 46, 53, 60, 57, 50, 43, 39, 32, 25, 21, 12)(61, 62, 66, 74, 82, 88, 94, 100, 106, 112, 118, 117, 111, 105, 99, 93, 87, 81, 73, 78, 70, 63, 67, 75, 83, 89, 95, 101, 107, 113, 119, 116, 110, 104, 98, 92, 86, 80, 72, 65, 68, 76, 69, 77, 84, 90, 96, 102, 108, 114, 120, 115, 109, 103, 97, 91, 85, 79, 71, 64)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 60^20 ), ( 60^60 ) }
Outer automorphisms :: reflexible
Dual of E28.1468
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 60 f = 2
	degree seq :: [ 20^3, 60 ]

E28.1465 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {20, 30, 60})
Quotient :: edge
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ F^2, T1^-3 * T2^-1, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^20 ]
Map:: non-degenerate
	R = (1, 3, 9, 15, 21, 27, 33, 39, 45, 51, 57, 53, 47, 41, 35, 29, 23, 17, 11, 5)(2, 7, 13, 19, 25, 31, 37, 43, 49, 55, 60, 56, 50, 44, 38, 32, 26, 20, 14, 8)(4, 10, 16, 22, 28, 34, 40, 46, 52, 58, 59, 54, 48, 42, 36, 30, 24, 18, 12, 6)(61, 62, 66, 65, 68, 72, 71, 74, 78, 77, 80, 84, 83, 86, 90, 89, 92, 96, 95, 98, 102, 101, 104, 108, 107, 110, 114, 113, 116, 119, 117, 120, 118, 111, 115, 112, 105, 109, 106, 99, 103, 100, 93, 97, 94, 87, 91, 88, 81, 85, 82, 75, 79, 76, 69, 73, 70, 63, 67, 64)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 60^20 ), ( 60^60 ) }
Outer automorphisms :: reflexible
Dual of E28.1469
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 60 f = 2
	degree seq :: [ 20^3, 60 ]

E28.1466 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {20, 30, 60})
Quotient :: edge
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1), (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T1^-2 * T2 * T1^-1 * T2 * T1^-3, T2^-2 * T1^-2 * T2^3 * T1^2 * T2^-1, T1^-1 * T2^-1 * T1^-1 * T2^-2 * T1^-1 * T2^-6, T1^-2 * T2^11 * T1^-1, (T1^-1 * T2^-1)^30 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 45, 57, 47, 35, 22, 28, 14, 27, 40, 52, 50, 38, 25, 13, 5)(2, 7, 17, 31, 43, 55, 48, 36, 23, 11, 21, 26, 39, 51, 59, 56, 44, 32, 18, 8)(4, 10, 20, 34, 46, 58, 60, 54, 42, 30, 16, 6, 15, 29, 41, 53, 49, 37, 24, 12)(61, 62, 66, 74, 86, 80, 69, 77, 89, 100, 111, 106, 93, 103, 113, 110, 116, 120, 117, 108, 97, 85, 92, 102, 95, 83, 72, 65, 68, 76, 88, 81, 70, 63, 67, 75, 87, 99, 94, 79, 91, 101, 112, 119, 118, 105, 115, 109, 98, 104, 114, 107, 96, 84, 73, 78, 90, 82, 71, 64)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 60^20 ), ( 60^60 ) }
Outer automorphisms :: reflexible
Dual of E28.1467
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 60 f = 2
	degree seq :: [ 20^3, 60 ]

E28.1467 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {20, 30, 60})
Quotient :: loop
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2), (F * T2)^2, (F * T1)^2, T2^2 * T1^-1 * T2 * T1^-5, T1 * T2^9 * T1, T2^-2 * T1^-3 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 9, 69, 19, 79, 33, 93, 47, 107, 51, 111, 39, 99, 23, 83, 11, 71, 21, 81, 35, 95, 26, 86, 42, 102, 54, 114, 60, 120, 58, 118, 49, 109, 37, 97, 30, 90, 16, 76, 6, 66, 15, 75, 29, 89, 44, 104, 53, 113, 41, 101, 25, 85, 13, 73, 5, 65)(2, 62, 7, 67, 17, 77, 31, 91, 45, 105, 52, 112, 40, 100, 24, 84, 12, 72, 4, 64, 10, 70, 20, 80, 34, 94, 48, 108, 57, 117, 59, 119, 50, 110, 38, 98, 22, 82, 36, 96, 28, 88, 14, 74, 27, 87, 43, 103, 55, 115, 56, 116, 46, 106, 32, 92, 18, 78, 8, 68)
	L = (1, 62)(2, 66)(3, 67)(4, 61)(5, 68)(6, 74)(7, 75)(8, 76)(9, 77)(10, 63)(11, 64)(12, 65)(13, 78)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 69)(21, 70)(22, 71)(23, 72)(24, 73)(25, 92)(26, 94)(27, 102)(28, 95)(29, 103)(30, 96)(31, 104)(32, 97)(33, 105)(34, 79)(35, 80)(36, 81)(37, 82)(38, 83)(39, 84)(40, 85)(41, 106)(42, 108)(43, 114)(44, 115)(45, 113)(46, 109)(47, 112)(48, 93)(49, 98)(50, 99)(51, 100)(52, 101)(53, 116)(54, 117)(55, 120)(56, 118)(57, 107)(58, 110)(59, 111)(60, 119)
	local type(s) :: { ( 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.1466
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 60 f = 4
	degree seq :: [ 60^2 ]

E28.1468 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {20, 30, 60})
Quotient :: loop
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T2)^2, (F * T1)^2, T2^3 * T1^6, T2^-9 * T1^2 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 9, 69, 19, 79, 33, 93, 47, 107, 44, 104, 30, 90, 16, 76, 6, 66, 15, 75, 29, 89, 37, 97, 51, 111, 58, 118, 60, 120, 54, 114, 42, 102, 26, 86, 39, 99, 23, 83, 11, 71, 21, 81, 35, 95, 49, 109, 53, 113, 41, 101, 25, 85, 13, 73, 5, 65)(2, 62, 7, 67, 17, 77, 31, 91, 45, 105, 56, 116, 55, 115, 43, 103, 28, 88, 14, 74, 27, 87, 38, 98, 22, 82, 36, 96, 50, 110, 57, 117, 59, 119, 52, 112, 40, 100, 24, 84, 12, 72, 4, 64, 10, 70, 20, 80, 34, 94, 48, 108, 46, 106, 32, 92, 18, 78, 8, 68)
	L = (1, 62)(2, 66)(3, 67)(4, 61)(5, 68)(6, 74)(7, 75)(8, 76)(9, 77)(10, 63)(11, 64)(12, 65)(13, 78)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 69)(21, 70)(22, 71)(23, 72)(24, 73)(25, 92)(26, 100)(27, 99)(28, 102)(29, 98)(30, 103)(31, 97)(32, 104)(33, 105)(34, 79)(35, 80)(36, 81)(37, 82)(38, 83)(39, 84)(40, 85)(41, 106)(42, 112)(43, 114)(44, 115)(45, 111)(46, 107)(47, 116)(48, 93)(49, 94)(50, 95)(51, 96)(52, 101)(53, 108)(54, 119)(55, 120)(56, 118)(57, 109)(58, 110)(59, 113)(60, 117)
	local type(s) :: { ( 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.1464
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 60 f = 4
	degree seq :: [ 60^2 ]

E28.1469 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {20, 30, 60})
Quotient :: loop
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1^-1), T2^3 * T1^2, T1^-20, T1^20 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 9, 69, 11, 71, 18, 78, 23, 83, 25, 85, 30, 90, 35, 95, 37, 97, 42, 102, 47, 107, 49, 109, 54, 114, 59, 119, 56, 116, 58, 118, 51, 111, 44, 104, 46, 106, 39, 99, 32, 92, 34, 94, 27, 87, 20, 80, 22, 82, 15, 75, 6, 66, 13, 73, 5, 65)(2, 62, 7, 67, 12, 72, 4, 64, 10, 70, 17, 77, 19, 79, 24, 84, 29, 89, 31, 91, 36, 96, 41, 101, 43, 103, 48, 108, 53, 113, 55, 115, 60, 120, 57, 117, 50, 110, 52, 112, 45, 105, 38, 98, 40, 100, 33, 93, 26, 86, 28, 88, 21, 81, 14, 74, 16, 76, 8, 68)
	L = (1, 62)(2, 66)(3, 67)(4, 61)(5, 68)(6, 74)(7, 73)(8, 75)(9, 72)(10, 63)(11, 64)(12, 65)(13, 76)(14, 80)(15, 81)(16, 82)(17, 69)(18, 70)(19, 71)(20, 86)(21, 87)(22, 88)(23, 77)(24, 78)(25, 79)(26, 92)(27, 93)(28, 94)(29, 83)(30, 84)(31, 85)(32, 98)(33, 99)(34, 100)(35, 89)(36, 90)(37, 91)(38, 104)(39, 105)(40, 106)(41, 95)(42, 96)(43, 97)(44, 110)(45, 111)(46, 112)(47, 101)(48, 102)(49, 103)(50, 116)(51, 117)(52, 118)(53, 107)(54, 108)(55, 109)(56, 115)(57, 119)(58, 120)(59, 113)(60, 114)
	local type(s) :: { ( 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.1465
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 60 f = 4
	degree seq :: [ 60^2 ]

E28.1470 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {20, 30, 60})
Quotient :: loop
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ F^2, T1^-1 * T2^2, (F * T1)^2, (F * T2)^2, T1^30, (T2^-1 * T1^-1)^20 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 2, 62, 7, 67, 6, 66, 11, 71, 10, 70, 15, 75, 14, 74, 19, 79, 18, 78, 23, 83, 22, 82, 27, 87, 26, 86, 33, 93, 34, 94, 30, 90, 32, 92, 31, 91, 36, 96, 35, 95, 38, 98, 37, 97, 40, 100, 39, 99, 42, 102, 41, 101, 44, 104, 43, 103, 46, 106, 45, 105, 50, 110, 51, 111, 47, 107, 49, 109, 48, 108, 53, 113, 52, 112, 55, 115, 54, 114, 57, 117, 56, 116, 59, 119, 58, 118, 60, 120, 28, 88, 29, 89, 24, 84, 25, 85, 20, 80, 21, 81, 16, 76, 17, 77, 12, 72, 13, 73, 8, 68, 9, 69, 4, 64, 5, 65)
	L = (1, 62)(2, 66)(3, 67)(4, 61)(5, 63)(6, 70)(7, 71)(8, 64)(9, 65)(10, 74)(11, 75)(12, 68)(13, 69)(14, 78)(15, 79)(16, 72)(17, 73)(18, 82)(19, 83)(20, 76)(21, 77)(22, 86)(23, 87)(24, 80)(25, 81)(26, 94)(27, 93)(28, 84)(29, 85)(30, 91)(31, 95)(32, 96)(33, 90)(34, 92)(35, 97)(36, 98)(37, 99)(38, 100)(39, 101)(40, 102)(41, 103)(42, 104)(43, 105)(44, 106)(45, 111)(46, 110)(47, 108)(48, 112)(49, 113)(50, 107)(51, 109)(52, 114)(53, 115)(54, 116)(55, 117)(56, 118)(57, 119)(58, 88)(59, 120)(60, 89)
	local type(s) :: { ( 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30 ) }
Outer automorphisms :: reflexible
Dual of E28.1460
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 60 f = 5
	degree seq :: [ 120 ]

E28.1471 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {20, 30, 60})
Quotient :: loop
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^-1 * T1 * T2^-1 * T1^6, T1 * T2 * T1 * T2^7, T2^3 * T1^-2 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-2 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 9, 69, 19, 79, 33, 93, 48, 108, 39, 99, 23, 83, 11, 71, 21, 81, 35, 95, 50, 110, 57, 117, 60, 120, 58, 118, 51, 111, 37, 97, 28, 88, 14, 74, 27, 87, 43, 103, 54, 114, 47, 107, 32, 92, 18, 78, 8, 68, 2, 62, 7, 67, 17, 77, 31, 91, 46, 106, 40, 100, 24, 84, 12, 72, 4, 64, 10, 70, 20, 80, 34, 94, 49, 109, 56, 116, 52, 112, 38, 98, 22, 82, 36, 96, 26, 86, 42, 102, 53, 113, 59, 119, 55, 115, 45, 105, 30, 90, 16, 76, 6, 66, 15, 75, 29, 89, 44, 104, 41, 101, 25, 85, 13, 73, 5, 65)
	L = (1, 62)(2, 66)(3, 67)(4, 61)(5, 68)(6, 74)(7, 75)(8, 76)(9, 77)(10, 63)(11, 64)(12, 65)(13, 78)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 69)(21, 70)(22, 71)(23, 72)(24, 73)(25, 92)(26, 95)(27, 102)(28, 96)(29, 103)(30, 97)(31, 104)(32, 105)(33, 106)(34, 79)(35, 80)(36, 81)(37, 82)(38, 83)(39, 84)(40, 85)(41, 107)(42, 110)(43, 113)(44, 114)(45, 111)(46, 101)(47, 115)(48, 100)(49, 93)(50, 94)(51, 98)(52, 99)(53, 117)(54, 119)(55, 118)(56, 108)(57, 109)(58, 112)(59, 120)(60, 116)
	local type(s) :: { ( 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30 ) }
Outer automorphisms :: reflexible
Dual of E28.1458
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 60 f = 5
	degree seq :: [ 120 ]

E28.1472 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {20, 30, 60})
Quotient :: loop
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^3 * T1^2 * T2^2 * T1 * T2, T2 * T1^-1 * T2 * T1^-3 * T2^2 * T1^-4, T2^2 * T1^4 * T2^-2 * T1^-4, T2^-2 * T1^-3 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 9, 69, 19, 79, 33, 93, 38, 98, 22, 82, 36, 96, 50, 110, 56, 116, 42, 102, 55, 115, 59, 119, 46, 106, 30, 90, 16, 76, 6, 66, 15, 75, 29, 89, 40, 100, 24, 84, 12, 72, 4, 64, 10, 70, 20, 80, 34, 94, 48, 108, 53, 113, 37, 97, 51, 111, 57, 117, 44, 104, 26, 86, 43, 103, 47, 107, 32, 92, 18, 78, 8, 68, 2, 62, 7, 67, 17, 77, 31, 91, 39, 99, 23, 83, 11, 71, 21, 81, 35, 95, 49, 109, 54, 114, 60, 120, 52, 112, 58, 118, 45, 105, 28, 88, 14, 74, 27, 87, 41, 101, 25, 85, 13, 73, 5, 65)
	L = (1, 62)(2, 66)(3, 67)(4, 61)(5, 68)(6, 74)(7, 75)(8, 76)(9, 77)(10, 63)(11, 64)(12, 65)(13, 78)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 69)(21, 70)(22, 71)(23, 72)(24, 73)(25, 92)(26, 102)(27, 103)(28, 104)(29, 101)(30, 105)(31, 100)(32, 106)(33, 99)(34, 79)(35, 80)(36, 81)(37, 82)(38, 83)(39, 84)(40, 85)(41, 107)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 93)(49, 94)(50, 95)(51, 96)(52, 97)(53, 98)(54, 108)(55, 120)(56, 109)(57, 110)(58, 111)(59, 112)(60, 113)
	local type(s) :: { ( 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30 ) }
Outer automorphisms :: reflexible
Dual of E28.1459
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 60 f = 5
	degree seq :: [ 120 ]

E28.1473 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {20, 30, 60})
Quotient :: loop
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1), (F * T1)^2, (F * T2)^2, T2^3 * T1^-3, T1^-18 * T2^-2, T1^-8 * T2^-1 * T1^-1 * T2^-1 * T1^-9, T2^20, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 9, 69, 14, 74, 23, 83, 30, 90, 34, 94, 41, 101, 48, 108, 52, 112, 59, 119, 55, 115, 51, 111, 44, 104, 37, 97, 33, 93, 26, 86, 19, 79, 13, 73, 5, 65)(2, 62, 7, 67, 17, 77, 22, 82, 29, 89, 36, 96, 40, 100, 47, 107, 54, 114, 58, 118, 56, 116, 49, 109, 45, 105, 38, 98, 31, 91, 27, 87, 20, 80, 11, 71, 18, 78, 8, 68)(4, 64, 10, 70, 16, 76, 6, 66, 15, 75, 24, 84, 28, 88, 35, 95, 42, 102, 46, 106, 53, 113, 60, 120, 57, 117, 50, 110, 43, 103, 39, 99, 32, 92, 25, 85, 21, 81, 12, 72)
	L = (1, 62)(2, 66)(3, 67)(4, 61)(5, 68)(6, 74)(7, 75)(8, 76)(9, 77)(10, 63)(11, 64)(12, 65)(13, 78)(14, 82)(15, 83)(16, 69)(17, 84)(18, 70)(19, 71)(20, 72)(21, 73)(22, 88)(23, 89)(24, 90)(25, 79)(26, 80)(27, 81)(28, 94)(29, 95)(30, 96)(31, 85)(32, 86)(33, 87)(34, 100)(35, 101)(36, 102)(37, 91)(38, 92)(39, 93)(40, 106)(41, 107)(42, 108)(43, 97)(44, 98)(45, 99)(46, 112)(47, 113)(48, 114)(49, 103)(50, 104)(51, 105)(52, 118)(53, 119)(54, 120)(55, 109)(56, 110)(57, 111)(58, 117)(59, 116)(60, 115)
	local type(s) :: { ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.1463
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 60 f = 3
	degree seq :: [ 40^3 ]

E28.1474 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {20, 30, 60})
Quotient :: loop
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ F^2, T1^-3 * T2^-1, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^20 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 9, 69, 15, 75, 21, 81, 27, 87, 33, 93, 39, 99, 45, 105, 51, 111, 57, 117, 53, 113, 47, 107, 41, 101, 35, 95, 29, 89, 23, 83, 17, 77, 11, 71, 5, 65)(2, 62, 7, 67, 13, 73, 19, 79, 25, 85, 31, 91, 37, 97, 43, 103, 49, 109, 55, 115, 60, 120, 56, 116, 50, 110, 44, 104, 38, 98, 32, 92, 26, 86, 20, 80, 14, 74, 8, 68)(4, 64, 10, 70, 16, 76, 22, 82, 28, 88, 34, 94, 40, 100, 46, 106, 52, 112, 58, 118, 59, 119, 54, 114, 48, 108, 42, 102, 36, 96, 30, 90, 24, 84, 18, 78, 12, 72, 6, 66)
	L = (1, 62)(2, 66)(3, 67)(4, 61)(5, 68)(6, 65)(7, 64)(8, 72)(9, 73)(10, 63)(11, 74)(12, 71)(13, 70)(14, 78)(15, 79)(16, 69)(17, 80)(18, 77)(19, 76)(20, 84)(21, 85)(22, 75)(23, 86)(24, 83)(25, 82)(26, 90)(27, 91)(28, 81)(29, 92)(30, 89)(31, 88)(32, 96)(33, 97)(34, 87)(35, 98)(36, 95)(37, 94)(38, 102)(39, 103)(40, 93)(41, 104)(42, 101)(43, 100)(44, 108)(45, 109)(46, 99)(47, 110)(48, 107)(49, 106)(50, 114)(51, 115)(52, 105)(53, 116)(54, 113)(55, 112)(56, 119)(57, 120)(58, 111)(59, 117)(60, 118)
	local type(s) :: { ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.1461
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 60 f = 3
	degree seq :: [ 40^3 ]

E28.1475 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {20, 30, 60})
Quotient :: loop
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1), (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T1^-2 * T2 * T1^-1 * T2 * T1^-3, T2^-2 * T1^-2 * T2^3 * T1^2 * T2^-1, T1^-1 * T2^-1 * T1^-1 * T2^-2 * T1^-1 * T2^-6, T1^-2 * T2^11 * T1^-1, (T1^-1 * T2^-1)^30 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 9, 69, 19, 79, 33, 93, 45, 105, 57, 117, 47, 107, 35, 95, 22, 82, 28, 88, 14, 74, 27, 87, 40, 100, 52, 112, 50, 110, 38, 98, 25, 85, 13, 73, 5, 65)(2, 62, 7, 67, 17, 77, 31, 91, 43, 103, 55, 115, 48, 108, 36, 96, 23, 83, 11, 71, 21, 81, 26, 86, 39, 99, 51, 111, 59, 119, 56, 116, 44, 104, 32, 92, 18, 78, 8, 68)(4, 64, 10, 70, 20, 80, 34, 94, 46, 106, 58, 118, 60, 120, 54, 114, 42, 102, 30, 90, 16, 76, 6, 66, 15, 75, 29, 89, 41, 101, 53, 113, 49, 109, 37, 97, 24, 84, 12, 72)
	L = (1, 62)(2, 66)(3, 67)(4, 61)(5, 68)(6, 74)(7, 75)(8, 76)(9, 77)(10, 63)(11, 64)(12, 65)(13, 78)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 69)(21, 70)(22, 71)(23, 72)(24, 73)(25, 92)(26, 80)(27, 99)(28, 81)(29, 100)(30, 82)(31, 101)(32, 102)(33, 103)(34, 79)(35, 83)(36, 84)(37, 85)(38, 104)(39, 94)(40, 111)(41, 112)(42, 95)(43, 113)(44, 114)(45, 115)(46, 93)(47, 96)(48, 97)(49, 98)(50, 116)(51, 106)(52, 119)(53, 110)(54, 107)(55, 109)(56, 120)(57, 108)(58, 105)(59, 118)(60, 117)
	local type(s) :: { ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.1462
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 60 f = 3
	degree seq :: [ 40^3 ]

E28.1476 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {20, 30, 60})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, (Y1^-1, Y2^-1), (R * Y2)^2, Y1 * Y2 * Y1 * Y2^-1 * Y1^-3 * Y3^-1, Y2 * Y3^-1 * Y1^-1 * Y2^-2 * Y1^-1 * Y3^-1 * Y2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3^-3, Y1^3 * Y2 * Y1 * Y2^2 * Y1 * Y3^-1, Y2^2 * Y1 * Y2 * Y3^-4 * Y1, Y2^2 * Y3 * Y2 * Y3 * Y1 * Y2^-3 * Y1, Y2^-1 * Y1 * Y2^-3 * Y1 * Y2^-5, Y2^-2 * Y3^-1 * Y2^-1 * Y3^-3 * Y2^-3 * Y3^-4, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 26, 86, 40, 100, 25, 85, 32, 92, 44, 104, 55, 115, 60, 120, 57, 117, 49, 109, 34, 94, 19, 79, 31, 91, 37, 97, 22, 82, 11, 71, 4, 64)(3, 63, 7, 67, 15, 75, 27, 87, 39, 99, 24, 84, 13, 73, 18, 78, 30, 90, 43, 103, 54, 114, 59, 119, 53, 113, 48, 108, 33, 93, 45, 105, 51, 111, 36, 96, 21, 81, 10, 70)(5, 65, 8, 68, 16, 76, 28, 88, 42, 102, 52, 112, 41, 101, 46, 106, 47, 107, 56, 116, 58, 118, 50, 110, 35, 95, 20, 80, 9, 69, 17, 77, 29, 89, 38, 98, 23, 83, 12, 72)(121, 181, 123, 183, 129, 189, 139, 199, 153, 213, 167, 227, 164, 224, 150, 210, 136, 196, 126, 186, 135, 195, 149, 209, 157, 217, 171, 231, 178, 238, 180, 240, 174, 234, 162, 222, 146, 206, 159, 219, 143, 203, 131, 191, 141, 201, 155, 215, 169, 229, 173, 233, 161, 221, 145, 205, 133, 193, 125, 185)(122, 182, 127, 187, 137, 197, 151, 211, 165, 225, 176, 236, 175, 235, 163, 223, 148, 208, 134, 194, 147, 207, 158, 218, 142, 202, 156, 216, 170, 230, 177, 237, 179, 239, 172, 232, 160, 220, 144, 204, 132, 192, 124, 184, 130, 190, 140, 200, 154, 214, 168, 228, 166, 226, 152, 212, 138, 198, 128, 188)
	L = (1, 124)(2, 121)(3, 130)(4, 131)(5, 132)(6, 122)(7, 123)(8, 125)(9, 140)(10, 141)(11, 142)(12, 143)(13, 144)(14, 126)(15, 127)(16, 128)(17, 129)(18, 133)(19, 154)(20, 155)(21, 156)(22, 157)(23, 158)(24, 159)(25, 160)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 145)(33, 168)(34, 169)(35, 170)(36, 171)(37, 151)(38, 149)(39, 147)(40, 146)(41, 172)(42, 148)(43, 150)(44, 152)(45, 153)(46, 161)(47, 166)(48, 173)(49, 177)(50, 178)(51, 165)(52, 162)(53, 179)(54, 163)(55, 164)(56, 167)(57, 180)(58, 176)(59, 174)(60, 175)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120 ), ( 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120 ) }
Outer automorphisms :: reflexible
Dual of E28.1485
Graph:: bipartite
	v = 5 e = 120 f = 61
	degree seq :: [ 40^3, 60^2 ]

E28.1477 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {20, 30, 60})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y1^-1 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y2^-1), (R * Y2)^2, (Y1^-1, Y2), Y2^2 * Y3^-1 * Y2^-2 * Y3, Y2^2 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3, Y1 * Y2^-1 * Y1^3 * Y3^-2 * Y2^-2, Y2^3 * Y1 * Y2^6 * Y3^-1, Y1^20, Y2^-1 * Y1^-1 * Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^2 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 26, 86, 34, 94, 19, 79, 31, 91, 44, 104, 55, 115, 60, 120, 59, 119, 51, 111, 40, 100, 25, 85, 32, 92, 37, 97, 22, 82, 11, 71, 4, 64)(3, 63, 7, 67, 15, 75, 27, 87, 42, 102, 48, 108, 33, 93, 45, 105, 53, 113, 56, 116, 58, 118, 50, 110, 39, 99, 24, 84, 13, 73, 18, 78, 30, 90, 36, 96, 21, 81, 10, 70)(5, 65, 8, 68, 16, 76, 28, 88, 35, 95, 20, 80, 9, 69, 17, 77, 29, 89, 43, 103, 54, 114, 57, 117, 47, 107, 52, 112, 41, 101, 46, 106, 49, 109, 38, 98, 23, 83, 12, 72)(121, 181, 123, 183, 129, 189, 139, 199, 153, 213, 167, 227, 171, 231, 159, 219, 143, 203, 131, 191, 141, 201, 155, 215, 146, 206, 162, 222, 174, 234, 180, 240, 178, 238, 169, 229, 157, 217, 150, 210, 136, 196, 126, 186, 135, 195, 149, 209, 164, 224, 173, 233, 161, 221, 145, 205, 133, 193, 125, 185)(122, 182, 127, 187, 137, 197, 151, 211, 165, 225, 172, 232, 160, 220, 144, 204, 132, 192, 124, 184, 130, 190, 140, 200, 154, 214, 168, 228, 177, 237, 179, 239, 170, 230, 158, 218, 142, 202, 156, 216, 148, 208, 134, 194, 147, 207, 163, 223, 175, 235, 176, 236, 166, 226, 152, 212, 138, 198, 128, 188)
	L = (1, 124)(2, 121)(3, 130)(4, 131)(5, 132)(6, 122)(7, 123)(8, 125)(9, 140)(10, 141)(11, 142)(12, 143)(13, 144)(14, 126)(15, 127)(16, 128)(17, 129)(18, 133)(19, 154)(20, 155)(21, 156)(22, 157)(23, 158)(24, 159)(25, 160)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 145)(33, 168)(34, 146)(35, 148)(36, 150)(37, 152)(38, 169)(39, 170)(40, 171)(41, 172)(42, 147)(43, 149)(44, 151)(45, 153)(46, 161)(47, 177)(48, 162)(49, 166)(50, 178)(51, 179)(52, 167)(53, 165)(54, 163)(55, 164)(56, 173)(57, 174)(58, 176)(59, 180)(60, 175)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120 ), ( 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120 ) }
Outer automorphisms :: reflexible
Dual of E28.1487
Graph:: bipartite
	v = 5 e = 120 f = 61
	degree seq :: [ 40^3, 60^2 ]

E28.1478 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {20, 30, 60})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y2^-1), (R * Y1)^2, (Y2, Y1^-1), Y2^3 * Y1^2, Y1^20, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 20, 80, 26, 86, 32, 92, 38, 98, 44, 104, 50, 110, 56, 116, 55, 115, 49, 109, 43, 103, 37, 97, 31, 91, 25, 85, 19, 79, 11, 71, 4, 64)(3, 63, 7, 67, 13, 73, 16, 76, 22, 82, 28, 88, 34, 94, 40, 100, 46, 106, 52, 112, 58, 118, 60, 120, 54, 114, 48, 108, 42, 102, 36, 96, 30, 90, 24, 84, 18, 78, 10, 70)(5, 65, 8, 68, 15, 75, 21, 81, 27, 87, 33, 93, 39, 99, 45, 105, 51, 111, 57, 117, 59, 119, 53, 113, 47, 107, 41, 101, 35, 95, 29, 89, 23, 83, 17, 77, 9, 69, 12, 72)(121, 181, 123, 183, 129, 189, 131, 191, 138, 198, 143, 203, 145, 205, 150, 210, 155, 215, 157, 217, 162, 222, 167, 227, 169, 229, 174, 234, 179, 239, 176, 236, 178, 238, 171, 231, 164, 224, 166, 226, 159, 219, 152, 212, 154, 214, 147, 207, 140, 200, 142, 202, 135, 195, 126, 186, 133, 193, 125, 185)(122, 182, 127, 187, 132, 192, 124, 184, 130, 190, 137, 197, 139, 199, 144, 204, 149, 209, 151, 211, 156, 216, 161, 221, 163, 223, 168, 228, 173, 233, 175, 235, 180, 240, 177, 237, 170, 230, 172, 232, 165, 225, 158, 218, 160, 220, 153, 213, 146, 206, 148, 208, 141, 201, 134, 194, 136, 196, 128, 188)
	L = (1, 124)(2, 121)(3, 130)(4, 131)(5, 132)(6, 122)(7, 123)(8, 125)(9, 137)(10, 138)(11, 139)(12, 129)(13, 127)(14, 126)(15, 128)(16, 133)(17, 143)(18, 144)(19, 145)(20, 134)(21, 135)(22, 136)(23, 149)(24, 150)(25, 151)(26, 140)(27, 141)(28, 142)(29, 155)(30, 156)(31, 157)(32, 146)(33, 147)(34, 148)(35, 161)(36, 162)(37, 163)(38, 152)(39, 153)(40, 154)(41, 167)(42, 168)(43, 169)(44, 158)(45, 159)(46, 160)(47, 173)(48, 174)(49, 175)(50, 164)(51, 165)(52, 166)(53, 179)(54, 180)(55, 176)(56, 170)(57, 171)(58, 172)(59, 177)(60, 178)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120 ), ( 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120 ) }
Outer automorphisms :: reflexible
Dual of E28.1486
Graph:: bipartite
	v = 5 e = 120 f = 61
	degree seq :: [ 40^3, 60^2 ]

E28.1479 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {20, 30, 60})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^-1 * Y2^2, (R * Y3)^2, (R * Y1)^2, Y1^30, (Y3^-1 * Y1^-1)^20 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 10, 70, 14, 74, 18, 78, 22, 82, 26, 86, 41, 101, 37, 97, 33, 93, 30, 90, 31, 91, 35, 95, 39, 99, 43, 103, 46, 106, 48, 108, 50, 110, 58, 118, 56, 116, 54, 114, 52, 112, 28, 88, 24, 84, 20, 80, 16, 76, 12, 72, 8, 68, 4, 64)(3, 63, 7, 67, 11, 71, 15, 75, 19, 79, 23, 83, 27, 87, 45, 105, 42, 102, 38, 98, 34, 94, 32, 92, 36, 96, 40, 100, 44, 104, 47, 107, 49, 109, 51, 111, 60, 120, 59, 119, 57, 117, 55, 115, 53, 113, 29, 89, 25, 85, 21, 81, 17, 77, 13, 73, 9, 69, 5, 65)(121, 181, 123, 183, 122, 182, 127, 187, 126, 186, 131, 191, 130, 190, 135, 195, 134, 194, 139, 199, 138, 198, 143, 203, 142, 202, 147, 207, 146, 206, 165, 225, 161, 221, 162, 222, 157, 217, 158, 218, 153, 213, 154, 214, 150, 210, 152, 212, 151, 211, 156, 216, 155, 215, 160, 220, 159, 219, 164, 224, 163, 223, 167, 227, 166, 226, 169, 229, 168, 228, 171, 231, 170, 230, 180, 240, 178, 238, 179, 239, 176, 236, 177, 237, 174, 234, 175, 235, 172, 232, 173, 233, 148, 208, 149, 209, 144, 204, 145, 205, 140, 200, 141, 201, 136, 196, 137, 197, 132, 192, 133, 193, 128, 188, 129, 189, 124, 184, 125, 185)
	L = (1, 123)(2, 127)(3, 122)(4, 125)(5, 121)(6, 131)(7, 126)(8, 129)(9, 124)(10, 135)(11, 130)(12, 133)(13, 128)(14, 139)(15, 134)(16, 137)(17, 132)(18, 143)(19, 138)(20, 141)(21, 136)(22, 147)(23, 142)(24, 145)(25, 140)(26, 165)(27, 146)(28, 149)(29, 144)(30, 152)(31, 156)(32, 151)(33, 154)(34, 150)(35, 160)(36, 155)(37, 158)(38, 153)(39, 164)(40, 159)(41, 162)(42, 157)(43, 167)(44, 163)(45, 161)(46, 169)(47, 166)(48, 171)(49, 168)(50, 180)(51, 170)(52, 173)(53, 148)(54, 175)(55, 172)(56, 177)(57, 174)(58, 179)(59, 176)(60, 178)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40 ), ( 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40 ) }
Outer automorphisms :: reflexible
Dual of E28.1483
Graph:: bipartite
	v = 3 e = 120 f = 63
	degree seq :: [ 60^2, 120 ]

E28.1480 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {20, 30, 60})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2, Y1^-1), Y2^5 * Y1 * Y2 * Y1^2, Y2^2 * Y1^-1 * Y2 * Y1^-7 * Y2, Y2^-1 * Y1^4 * Y2^2 * Y1^-4 * Y2^-1, (Y3^-1 * Y1^-1)^20 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 26, 86, 42, 102, 54, 114, 48, 108, 33, 93, 39, 99, 24, 84, 13, 73, 18, 78, 30, 90, 45, 105, 57, 117, 50, 110, 35, 95, 20, 80, 9, 69, 17, 77, 29, 89, 41, 101, 47, 107, 59, 119, 52, 112, 37, 97, 22, 82, 11, 71, 4, 64)(3, 63, 7, 67, 15, 75, 27, 87, 43, 103, 55, 115, 60, 120, 53, 113, 38, 98, 23, 83, 12, 72, 5, 65, 8, 68, 16, 76, 28, 88, 44, 104, 56, 116, 49, 109, 34, 94, 19, 79, 31, 91, 40, 100, 25, 85, 32, 92, 46, 106, 58, 118, 51, 111, 36, 96, 21, 81, 10, 70)(121, 181, 123, 183, 129, 189, 139, 199, 153, 213, 158, 218, 142, 202, 156, 216, 170, 230, 176, 236, 162, 222, 175, 235, 179, 239, 166, 226, 150, 210, 136, 196, 126, 186, 135, 195, 149, 209, 160, 220, 144, 204, 132, 192, 124, 184, 130, 190, 140, 200, 154, 214, 168, 228, 173, 233, 157, 217, 171, 231, 177, 237, 164, 224, 146, 206, 163, 223, 167, 227, 152, 212, 138, 198, 128, 188, 122, 182, 127, 187, 137, 197, 151, 211, 159, 219, 143, 203, 131, 191, 141, 201, 155, 215, 169, 229, 174, 234, 180, 240, 172, 232, 178, 238, 165, 225, 148, 208, 134, 194, 147, 207, 161, 221, 145, 205, 133, 193, 125, 185)
	L = (1, 123)(2, 127)(3, 129)(4, 130)(5, 121)(6, 135)(7, 137)(8, 122)(9, 139)(10, 140)(11, 141)(12, 124)(13, 125)(14, 147)(15, 149)(16, 126)(17, 151)(18, 128)(19, 153)(20, 154)(21, 155)(22, 156)(23, 131)(24, 132)(25, 133)(26, 163)(27, 161)(28, 134)(29, 160)(30, 136)(31, 159)(32, 138)(33, 158)(34, 168)(35, 169)(36, 170)(37, 171)(38, 142)(39, 143)(40, 144)(41, 145)(42, 175)(43, 167)(44, 146)(45, 148)(46, 150)(47, 152)(48, 173)(49, 174)(50, 176)(51, 177)(52, 178)(53, 157)(54, 180)(55, 179)(56, 162)(57, 164)(58, 165)(59, 166)(60, 172)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40 ), ( 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40 ) }
Outer automorphisms :: reflexible
Dual of E28.1482
Graph:: bipartite
	v = 3 e = 120 f = 63
	degree seq :: [ 60^2, 120 ]

E28.1481 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {20, 30, 60})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y1, Y2^-1), Y2^-1 * Y1 * Y2^-1 * Y1^6, Y2^-2 * Y1^-1 * Y2^-5 * Y1^-1 * Y2^-1, (Y3^-1 * Y1^-1)^20 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 26, 86, 35, 95, 20, 80, 9, 69, 17, 77, 29, 89, 43, 103, 53, 113, 57, 117, 49, 109, 33, 93, 46, 106, 41, 101, 47, 107, 55, 115, 58, 118, 52, 112, 39, 99, 24, 84, 13, 73, 18, 78, 30, 90, 37, 97, 22, 82, 11, 71, 4, 64)(3, 63, 7, 67, 15, 75, 27, 87, 42, 102, 50, 110, 34, 94, 19, 79, 31, 91, 44, 104, 54, 114, 59, 119, 60, 120, 56, 116, 48, 108, 40, 100, 25, 85, 32, 92, 45, 105, 51, 111, 38, 98, 23, 83, 12, 72, 5, 65, 8, 68, 16, 76, 28, 88, 36, 96, 21, 81, 10, 70)(121, 181, 123, 183, 129, 189, 139, 199, 153, 213, 168, 228, 159, 219, 143, 203, 131, 191, 141, 201, 155, 215, 170, 230, 177, 237, 180, 240, 178, 238, 171, 231, 157, 217, 148, 208, 134, 194, 147, 207, 163, 223, 174, 234, 167, 227, 152, 212, 138, 198, 128, 188, 122, 182, 127, 187, 137, 197, 151, 211, 166, 226, 160, 220, 144, 204, 132, 192, 124, 184, 130, 190, 140, 200, 154, 214, 169, 229, 176, 236, 172, 232, 158, 218, 142, 202, 156, 216, 146, 206, 162, 222, 173, 233, 179, 239, 175, 235, 165, 225, 150, 210, 136, 196, 126, 186, 135, 195, 149, 209, 164, 224, 161, 221, 145, 205, 133, 193, 125, 185)
	L = (1, 123)(2, 127)(3, 129)(4, 130)(5, 121)(6, 135)(7, 137)(8, 122)(9, 139)(10, 140)(11, 141)(12, 124)(13, 125)(14, 147)(15, 149)(16, 126)(17, 151)(18, 128)(19, 153)(20, 154)(21, 155)(22, 156)(23, 131)(24, 132)(25, 133)(26, 162)(27, 163)(28, 134)(29, 164)(30, 136)(31, 166)(32, 138)(33, 168)(34, 169)(35, 170)(36, 146)(37, 148)(38, 142)(39, 143)(40, 144)(41, 145)(42, 173)(43, 174)(44, 161)(45, 150)(46, 160)(47, 152)(48, 159)(49, 176)(50, 177)(51, 157)(52, 158)(53, 179)(54, 167)(55, 165)(56, 172)(57, 180)(58, 171)(59, 175)(60, 178)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40 ), ( 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40 ) }
Outer automorphisms :: reflexible
Dual of E28.1484
Graph:: bipartite
	v = 3 e = 120 f = 63
	degree seq :: [ 60^2, 120 ]

E28.1482 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {20, 30, 60})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y3, Y2), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^-3 * Y2^-3, Y3^-18 * Y2^2, Y3^11 * Y2^-1 * Y3 * Y2^-7, Y2^20, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^60 ]
Map::
	R = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)(121, 181, 122, 182, 126, 186, 134, 194, 142, 202, 148, 208, 154, 214, 160, 220, 166, 226, 172, 232, 178, 238, 175, 235, 171, 231, 164, 224, 157, 217, 153, 213, 146, 206, 139, 199, 131, 191, 124, 184)(123, 183, 127, 187, 135, 195, 133, 193, 138, 198, 144, 204, 150, 210, 156, 216, 162, 222, 168, 228, 174, 234, 180, 240, 177, 237, 170, 230, 163, 223, 159, 219, 152, 212, 145, 205, 141, 201, 130, 190)(125, 185, 128, 188, 136, 196, 143, 203, 149, 209, 155, 215, 161, 221, 167, 227, 173, 233, 179, 239, 176, 236, 169, 229, 165, 225, 158, 218, 151, 211, 147, 207, 140, 200, 129, 189, 137, 197, 132, 192)
	L = (1, 123)(2, 127)(3, 129)(4, 130)(5, 121)(6, 135)(7, 137)(8, 122)(9, 139)(10, 140)(11, 141)(12, 124)(13, 125)(14, 133)(15, 132)(16, 126)(17, 131)(18, 128)(19, 145)(20, 146)(21, 147)(22, 138)(23, 134)(24, 136)(25, 151)(26, 152)(27, 153)(28, 144)(29, 142)(30, 143)(31, 157)(32, 158)(33, 159)(34, 150)(35, 148)(36, 149)(37, 163)(38, 164)(39, 165)(40, 156)(41, 154)(42, 155)(43, 169)(44, 170)(45, 171)(46, 162)(47, 160)(48, 161)(49, 175)(50, 176)(51, 177)(52, 168)(53, 166)(54, 167)(55, 180)(56, 178)(57, 179)(58, 174)(59, 172)(60, 173)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 60, 120 ), ( 60, 120, 60, 120, 60, 120, 60, 120, 60, 120, 60, 120, 60, 120, 60, 120, 60, 120, 60, 120, 60, 120, 60, 120, 60, 120, 60, 120, 60, 120, 60, 120, 60, 120, 60, 120, 60, 120, 60, 120 ) }
Outer automorphisms :: reflexible
Dual of E28.1480
Graph:: simple bipartite
	v = 63 e = 120 f = 3
	degree seq :: [ 2^60, 40^3 ]

E28.1483 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {20, 30, 60})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y1, R^2, Y3^3 * Y2^-1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2^-1), Y2^20, (Y3^-1 * Y1^-1)^60 ]
Map::
	R = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)(121, 181, 122, 182, 126, 186, 132, 192, 138, 198, 144, 204, 150, 210, 156, 216, 162, 222, 168, 228, 174, 234, 172, 232, 166, 226, 160, 220, 154, 214, 148, 208, 142, 202, 136, 196, 130, 190, 124, 184)(123, 183, 127, 187, 133, 193, 139, 199, 145, 205, 151, 211, 157, 217, 163, 223, 169, 229, 175, 235, 179, 239, 177, 237, 171, 231, 165, 225, 159, 219, 153, 213, 147, 207, 141, 201, 135, 195, 129, 189)(125, 185, 128, 188, 134, 194, 140, 200, 146, 206, 152, 212, 158, 218, 164, 224, 170, 230, 176, 236, 180, 240, 178, 238, 173, 233, 167, 227, 161, 221, 155, 215, 149, 209, 143, 203, 137, 197, 131, 191)
	L = (1, 123)(2, 127)(3, 128)(4, 129)(5, 121)(6, 133)(7, 134)(8, 122)(9, 125)(10, 135)(11, 124)(12, 139)(13, 140)(14, 126)(15, 131)(16, 141)(17, 130)(18, 145)(19, 146)(20, 132)(21, 137)(22, 147)(23, 136)(24, 151)(25, 152)(26, 138)(27, 143)(28, 153)(29, 142)(30, 157)(31, 158)(32, 144)(33, 149)(34, 159)(35, 148)(36, 163)(37, 164)(38, 150)(39, 155)(40, 165)(41, 154)(42, 169)(43, 170)(44, 156)(45, 161)(46, 171)(47, 160)(48, 175)(49, 176)(50, 162)(51, 167)(52, 177)(53, 166)(54, 179)(55, 180)(56, 168)(57, 173)(58, 172)(59, 178)(60, 174)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 60, 120 ), ( 60, 120, 60, 120, 60, 120, 60, 120, 60, 120, 60, 120, 60, 120, 60, 120, 60, 120, 60, 120, 60, 120, 60, 120, 60, 120, 60, 120, 60, 120, 60, 120, 60, 120, 60, 120, 60, 120, 60, 120 ) }
Outer automorphisms :: reflexible
Dual of E28.1479
Graph:: simple bipartite
	v = 63 e = 120 f = 3
	degree seq :: [ 2^60, 40^3 ]

E28.1484 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {20, 30, 60})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (Y2, Y3^-1), (R * Y3)^2, (R * Y2)^2, Y2 * Y3^6 * Y2, Y3^2 * Y2^-1 * Y3 * Y2^-8, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^2 * Y2^3 * Y3, (Y3^-1 * Y1^-1)^60 ]
Map::
	R = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)(121, 181, 122, 182, 126, 186, 134, 194, 146, 206, 159, 219, 171, 231, 166, 226, 154, 214, 139, 199, 151, 211, 145, 205, 152, 212, 164, 224, 176, 236, 169, 229, 157, 217, 142, 202, 131, 191, 124, 184)(123, 183, 127, 187, 135, 195, 147, 207, 160, 220, 172, 232, 179, 239, 177, 237, 165, 225, 153, 213, 144, 204, 133, 193, 138, 198, 150, 210, 163, 223, 175, 235, 168, 228, 156, 216, 141, 201, 130, 190)(125, 185, 128, 188, 136, 196, 148, 208, 161, 221, 173, 233, 167, 227, 155, 215, 140, 200, 129, 189, 137, 197, 149, 209, 162, 222, 174, 234, 180, 240, 178, 238, 170, 230, 158, 218, 143, 203, 132, 192)
	L = (1, 123)(2, 127)(3, 129)(4, 130)(5, 121)(6, 135)(7, 137)(8, 122)(9, 139)(10, 140)(11, 141)(12, 124)(13, 125)(14, 147)(15, 149)(16, 126)(17, 151)(18, 128)(19, 153)(20, 154)(21, 155)(22, 156)(23, 131)(24, 132)(25, 133)(26, 160)(27, 162)(28, 134)(29, 145)(30, 136)(31, 144)(32, 138)(33, 143)(34, 165)(35, 166)(36, 167)(37, 168)(38, 142)(39, 172)(40, 174)(41, 146)(42, 152)(43, 148)(44, 150)(45, 158)(46, 177)(47, 171)(48, 173)(49, 175)(50, 157)(51, 179)(52, 180)(53, 159)(54, 164)(55, 161)(56, 163)(57, 170)(58, 169)(59, 178)(60, 176)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 60, 120 ), ( 60, 120, 60, 120, 60, 120, 60, 120, 60, 120, 60, 120, 60, 120, 60, 120, 60, 120, 60, 120, 60, 120, 60, 120, 60, 120, 60, 120, 60, 120, 60, 120, 60, 120, 60, 120, 60, 120, 60, 120 ) }
Outer automorphisms :: reflexible
Dual of E28.1481
Graph:: simple bipartite
	v = 63 e = 120 f = 3
	degree seq :: [ 2^60, 40^3 ]

E28.1485 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {20, 30, 60})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, Y3^2 * Y1^-1 * Y3 * Y1^-2, (R * Y2 * Y3^-1)^2, Y1^-9 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-8, (Y3 * Y2^-1)^20, (Y1^-1 * Y3^-1)^30 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 22, 82, 28, 88, 34, 94, 40, 100, 46, 106, 52, 112, 58, 118, 57, 117, 51, 111, 45, 105, 39, 99, 33, 93, 27, 87, 21, 81, 13, 73, 18, 78, 10, 70, 3, 63, 7, 67, 15, 75, 23, 83, 29, 89, 35, 95, 41, 101, 47, 107, 53, 113, 59, 119, 56, 116, 50, 110, 44, 104, 38, 98, 32, 92, 26, 86, 20, 80, 12, 72, 5, 65, 8, 68, 16, 76, 9, 69, 17, 77, 24, 84, 30, 90, 36, 96, 42, 102, 48, 108, 54, 114, 60, 120, 55, 115, 49, 109, 43, 103, 37, 97, 31, 91, 25, 85, 19, 79, 11, 71, 4, 64)(121, 181)(122, 182)(123, 183)(124, 184)(125, 185)(126, 186)(127, 187)(128, 188)(129, 189)(130, 190)(131, 191)(132, 192)(133, 193)(134, 194)(135, 195)(136, 196)(137, 197)(138, 198)(139, 199)(140, 200)(141, 201)(142, 202)(143, 203)(144, 204)(145, 205)(146, 206)(147, 207)(148, 208)(149, 209)(150, 210)(151, 211)(152, 212)(153, 213)(154, 214)(155, 215)(156, 216)(157, 217)(158, 218)(159, 219)(160, 220)(161, 221)(162, 222)(163, 223)(164, 224)(165, 225)(166, 226)(167, 227)(168, 228)(169, 229)(170, 230)(171, 231)(172, 232)(173, 233)(174, 234)(175, 235)(176, 236)(177, 237)(178, 238)(179, 239)(180, 240)
	L = (1, 123)(2, 127)(3, 129)(4, 130)(5, 121)(6, 135)(7, 137)(8, 122)(9, 134)(10, 136)(11, 138)(12, 124)(13, 125)(14, 143)(15, 144)(16, 126)(17, 142)(18, 128)(19, 133)(20, 131)(21, 132)(22, 149)(23, 150)(24, 148)(25, 141)(26, 139)(27, 140)(28, 155)(29, 156)(30, 154)(31, 147)(32, 145)(33, 146)(34, 161)(35, 162)(36, 160)(37, 153)(38, 151)(39, 152)(40, 167)(41, 168)(42, 166)(43, 159)(44, 157)(45, 158)(46, 173)(47, 174)(48, 172)(49, 165)(50, 163)(51, 164)(52, 179)(53, 180)(54, 178)(55, 171)(56, 169)(57, 170)(58, 176)(59, 175)(60, 177)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 40, 60 ), ( 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.1476
Graph:: bipartite
	v = 61 e = 120 f = 5
	degree seq :: [ 2^60, 120 ]

E28.1486 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {20, 30, 60})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^-3 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, Y3^20, (Y3 * Y2^-1)^20 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 5, 65, 8, 68, 12, 72, 11, 71, 14, 74, 18, 78, 17, 77, 20, 80, 24, 84, 23, 83, 26, 86, 30, 90, 29, 89, 32, 92, 36, 96, 35, 95, 38, 98, 42, 102, 41, 101, 44, 104, 48, 108, 47, 107, 50, 110, 54, 114, 53, 113, 56, 116, 59, 119, 57, 117, 60, 120, 58, 118, 51, 111, 55, 115, 52, 112, 45, 105, 49, 109, 46, 106, 39, 99, 43, 103, 40, 100, 33, 93, 37, 97, 34, 94, 27, 87, 31, 91, 28, 88, 21, 81, 25, 85, 22, 82, 15, 75, 19, 79, 16, 76, 9, 69, 13, 73, 10, 70, 3, 63, 7, 67, 4, 64)(121, 181)(122, 182)(123, 183)(124, 184)(125, 185)(126, 186)(127, 187)(128, 188)(129, 189)(130, 190)(131, 191)(132, 192)(133, 193)(134, 194)(135, 195)(136, 196)(137, 197)(138, 198)(139, 199)(140, 200)(141, 201)(142, 202)(143, 203)(144, 204)(145, 205)(146, 206)(147, 207)(148, 208)(149, 209)(150, 210)(151, 211)(152, 212)(153, 213)(154, 214)(155, 215)(156, 216)(157, 217)(158, 218)(159, 219)(160, 220)(161, 221)(162, 222)(163, 223)(164, 224)(165, 225)(166, 226)(167, 227)(168, 228)(169, 229)(170, 230)(171, 231)(172, 232)(173, 233)(174, 234)(175, 235)(176, 236)(177, 237)(178, 238)(179, 239)(180, 240)
	L = (1, 123)(2, 127)(3, 129)(4, 130)(5, 121)(6, 124)(7, 133)(8, 122)(9, 135)(10, 136)(11, 125)(12, 126)(13, 139)(14, 128)(15, 141)(16, 142)(17, 131)(18, 132)(19, 145)(20, 134)(21, 147)(22, 148)(23, 137)(24, 138)(25, 151)(26, 140)(27, 153)(28, 154)(29, 143)(30, 144)(31, 157)(32, 146)(33, 159)(34, 160)(35, 149)(36, 150)(37, 163)(38, 152)(39, 165)(40, 166)(41, 155)(42, 156)(43, 169)(44, 158)(45, 171)(46, 172)(47, 161)(48, 162)(49, 175)(50, 164)(51, 177)(52, 178)(53, 167)(54, 168)(55, 180)(56, 170)(57, 173)(58, 179)(59, 174)(60, 176)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 40, 60 ), ( 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.1478
Graph:: bipartite
	v = 61 e = 120 f = 5
	degree seq :: [ 2^60, 120 ]

E28.1487 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {20, 30, 60})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1, Y1), (Y3^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^-2 * Y3 * Y1^-1 * Y3 * Y1^-3, Y3^-2 * Y1^-2 * Y3^3 * Y1^2 * Y3^-1, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-2 * Y1^-1 * Y3^-6, Y1^-2 * Y3^11 * Y1^-1, (Y3 * Y2^-1)^20, (Y1^-1 * Y3^-1)^30 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 26, 86, 20, 80, 9, 69, 17, 77, 29, 89, 40, 100, 51, 111, 46, 106, 33, 93, 43, 103, 53, 113, 50, 110, 56, 116, 60, 120, 57, 117, 48, 108, 37, 97, 25, 85, 32, 92, 42, 102, 35, 95, 23, 83, 12, 72, 5, 65, 8, 68, 16, 76, 28, 88, 21, 81, 10, 70, 3, 63, 7, 67, 15, 75, 27, 87, 39, 99, 34, 94, 19, 79, 31, 91, 41, 101, 52, 112, 59, 119, 58, 118, 45, 105, 55, 115, 49, 109, 38, 98, 44, 104, 54, 114, 47, 107, 36, 96, 24, 84, 13, 73, 18, 78, 30, 90, 22, 82, 11, 71, 4, 64)(121, 181)(122, 182)(123, 183)(124, 184)(125, 185)(126, 186)(127, 187)(128, 188)(129, 189)(130, 190)(131, 191)(132, 192)(133, 193)(134, 194)(135, 195)(136, 196)(137, 197)(138, 198)(139, 199)(140, 200)(141, 201)(142, 202)(143, 203)(144, 204)(145, 205)(146, 206)(147, 207)(148, 208)(149, 209)(150, 210)(151, 211)(152, 212)(153, 213)(154, 214)(155, 215)(156, 216)(157, 217)(158, 218)(159, 219)(160, 220)(161, 221)(162, 222)(163, 223)(164, 224)(165, 225)(166, 226)(167, 227)(168, 228)(169, 229)(170, 230)(171, 231)(172, 232)(173, 233)(174, 234)(175, 235)(176, 236)(177, 237)(178, 238)(179, 239)(180, 240)
	L = (1, 123)(2, 127)(3, 129)(4, 130)(5, 121)(6, 135)(7, 137)(8, 122)(9, 139)(10, 140)(11, 141)(12, 124)(13, 125)(14, 147)(15, 149)(16, 126)(17, 151)(18, 128)(19, 153)(20, 154)(21, 146)(22, 148)(23, 131)(24, 132)(25, 133)(26, 159)(27, 160)(28, 134)(29, 161)(30, 136)(31, 163)(32, 138)(33, 165)(34, 166)(35, 142)(36, 143)(37, 144)(38, 145)(39, 171)(40, 172)(41, 173)(42, 150)(43, 175)(44, 152)(45, 177)(46, 178)(47, 155)(48, 156)(49, 157)(50, 158)(51, 179)(52, 170)(53, 169)(54, 162)(55, 168)(56, 164)(57, 167)(58, 180)(59, 176)(60, 174)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 40, 60 ), ( 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60, 40, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.1477
Graph:: bipartite
	v = 61 e = 120 f = 5
	degree seq :: [ 2^60, 120 ]

E28.1488 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {20, 30, 60})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y3)^2, Y3 * Y2 * Y1 * Y2^-1, (R * Y1)^2, Y2^-1 * Y1^-1 * Y2 * Y3^-1, (R * Y2)^2, Y2^2 * Y3 * Y2 * Y1^-2, Y1^-1 * Y2^-1 * Y1^2 * Y2 * Y1^-1, Y3^8 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-2 * Y2^-1 * Y1^-6, Y1^20, Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y2^60 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 22, 82, 28, 88, 34, 94, 40, 100, 46, 106, 52, 112, 58, 118, 55, 115, 49, 109, 43, 103, 37, 97, 31, 91, 25, 85, 19, 79, 11, 71, 4, 64)(3, 63, 7, 67, 15, 75, 23, 83, 29, 89, 35, 95, 41, 101, 47, 107, 53, 113, 59, 119, 57, 117, 51, 111, 45, 105, 39, 99, 33, 93, 27, 87, 21, 81, 13, 73, 18, 78, 10, 70)(5, 65, 8, 68, 16, 76, 9, 69, 17, 77, 24, 84, 30, 90, 36, 96, 42, 102, 48, 108, 54, 114, 60, 120, 56, 116, 50, 110, 44, 104, 38, 98, 32, 92, 26, 86, 20, 80, 12, 72)(121, 181, 123, 183, 129, 189, 134, 194, 143, 203, 150, 210, 154, 214, 161, 221, 168, 228, 172, 232, 179, 239, 176, 236, 169, 229, 165, 225, 158, 218, 151, 211, 147, 207, 140, 200, 131, 191, 138, 198, 128, 188, 122, 182, 127, 187, 137, 197, 142, 202, 149, 209, 156, 216, 160, 220, 167, 227, 174, 234, 178, 238, 177, 237, 170, 230, 163, 223, 159, 219, 152, 212, 145, 205, 141, 201, 132, 192, 124, 184, 130, 190, 136, 196, 126, 186, 135, 195, 144, 204, 148, 208, 155, 215, 162, 222, 166, 226, 173, 233, 180, 240, 175, 235, 171, 231, 164, 224, 157, 217, 153, 213, 146, 206, 139, 199, 133, 193, 125, 185)
	L = (1, 124)(2, 121)(3, 130)(4, 131)(5, 132)(6, 122)(7, 123)(8, 125)(9, 136)(10, 138)(11, 139)(12, 140)(13, 141)(14, 126)(15, 127)(16, 128)(17, 129)(18, 133)(19, 145)(20, 146)(21, 147)(22, 134)(23, 135)(24, 137)(25, 151)(26, 152)(27, 153)(28, 142)(29, 143)(30, 144)(31, 157)(32, 158)(33, 159)(34, 148)(35, 149)(36, 150)(37, 163)(38, 164)(39, 165)(40, 154)(41, 155)(42, 156)(43, 169)(44, 170)(45, 171)(46, 160)(47, 161)(48, 162)(49, 175)(50, 176)(51, 177)(52, 166)(53, 167)(54, 168)(55, 178)(56, 180)(57, 179)(58, 172)(59, 173)(60, 174)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60 ), ( 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.1492
Graph:: bipartite
	v = 4 e = 120 f = 62
	degree seq :: [ 40^3, 120 ]

E28.1489 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {20, 30, 60})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y2^-3 * Y1^-1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y2^-1), Y1^20, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 12, 72, 18, 78, 24, 84, 30, 90, 36, 96, 42, 102, 48, 108, 54, 114, 53, 113, 47, 107, 41, 101, 35, 95, 29, 89, 23, 83, 17, 77, 11, 71, 4, 64)(3, 63, 7, 67, 13, 73, 19, 79, 25, 85, 31, 91, 37, 97, 43, 103, 49, 109, 55, 115, 59, 119, 58, 118, 52, 112, 46, 106, 40, 100, 34, 94, 28, 88, 22, 82, 16, 76, 10, 70)(5, 65, 8, 68, 14, 74, 20, 80, 26, 86, 32, 92, 38, 98, 44, 104, 50, 110, 56, 116, 60, 120, 57, 117, 51, 111, 45, 105, 39, 99, 33, 93, 27, 87, 21, 81, 15, 75, 9, 69)(121, 181, 123, 183, 129, 189, 124, 184, 130, 190, 135, 195, 131, 191, 136, 196, 141, 201, 137, 197, 142, 202, 147, 207, 143, 203, 148, 208, 153, 213, 149, 209, 154, 214, 159, 219, 155, 215, 160, 220, 165, 225, 161, 221, 166, 226, 171, 231, 167, 227, 172, 232, 177, 237, 173, 233, 178, 238, 180, 240, 174, 234, 179, 239, 176, 236, 168, 228, 175, 235, 170, 230, 162, 222, 169, 229, 164, 224, 156, 216, 163, 223, 158, 218, 150, 210, 157, 217, 152, 212, 144, 204, 151, 211, 146, 206, 138, 198, 145, 205, 140, 200, 132, 192, 139, 199, 134, 194, 126, 186, 133, 193, 128, 188, 122, 182, 127, 187, 125, 185)
	L = (1, 124)(2, 121)(3, 130)(4, 131)(5, 129)(6, 122)(7, 123)(8, 125)(9, 135)(10, 136)(11, 137)(12, 126)(13, 127)(14, 128)(15, 141)(16, 142)(17, 143)(18, 132)(19, 133)(20, 134)(21, 147)(22, 148)(23, 149)(24, 138)(25, 139)(26, 140)(27, 153)(28, 154)(29, 155)(30, 144)(31, 145)(32, 146)(33, 159)(34, 160)(35, 161)(36, 150)(37, 151)(38, 152)(39, 165)(40, 166)(41, 167)(42, 156)(43, 157)(44, 158)(45, 171)(46, 172)(47, 173)(48, 162)(49, 163)(50, 164)(51, 177)(52, 178)(53, 174)(54, 168)(55, 169)(56, 170)(57, 180)(58, 179)(59, 175)(60, 176)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60 ), ( 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.1491
Graph:: bipartite
	v = 4 e = 120 f = 62
	degree seq :: [ 40^3, 120 ]

E28.1490 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {20, 30, 60})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (Y2^-1, Y1^-1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y2, Y3^-1), Y2^6 * Y1^-2, Y3^4 * Y2^-1 * Y3 * Y2^-2 * Y1^-4, Y1^20, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 26, 86, 39, 99, 51, 111, 50, 110, 38, 98, 25, 85, 32, 92, 19, 79, 31, 91, 44, 104, 56, 116, 47, 107, 35, 95, 22, 82, 11, 71, 4, 64)(3, 63, 7, 67, 15, 75, 27, 87, 40, 100, 52, 112, 49, 109, 37, 97, 24, 84, 13, 73, 18, 78, 30, 90, 43, 103, 55, 115, 60, 120, 58, 118, 46, 106, 34, 94, 21, 81, 10, 70)(5, 65, 8, 68, 16, 76, 28, 88, 41, 101, 53, 113, 59, 119, 57, 117, 45, 105, 33, 93, 20, 80, 9, 69, 17, 77, 29, 89, 42, 102, 54, 114, 48, 108, 36, 96, 23, 83, 12, 72)(121, 181, 123, 183, 129, 189, 139, 199, 150, 210, 136, 196, 126, 186, 135, 195, 149, 209, 164, 224, 175, 235, 161, 221, 146, 206, 160, 220, 174, 234, 167, 227, 178, 238, 179, 239, 171, 231, 169, 229, 156, 216, 142, 202, 154, 214, 165, 225, 158, 218, 144, 204, 132, 192, 124, 184, 130, 190, 140, 200, 152, 212, 138, 198, 128, 188, 122, 182, 127, 187, 137, 197, 151, 211, 163, 223, 148, 208, 134, 194, 147, 207, 162, 222, 176, 236, 180, 240, 173, 233, 159, 219, 172, 232, 168, 228, 155, 215, 166, 226, 177, 237, 170, 230, 157, 217, 143, 203, 131, 191, 141, 201, 153, 213, 145, 205, 133, 193, 125, 185)
	L = (1, 124)(2, 121)(3, 130)(4, 131)(5, 132)(6, 122)(7, 123)(8, 125)(9, 140)(10, 141)(11, 142)(12, 143)(13, 144)(14, 126)(15, 127)(16, 128)(17, 129)(18, 133)(19, 152)(20, 153)(21, 154)(22, 155)(23, 156)(24, 157)(25, 158)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 145)(33, 165)(34, 166)(35, 167)(36, 168)(37, 169)(38, 170)(39, 146)(40, 147)(41, 148)(42, 149)(43, 150)(44, 151)(45, 177)(46, 178)(47, 176)(48, 174)(49, 172)(50, 171)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 179)(58, 180)(59, 173)(60, 175)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60 ), ( 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.1493
Graph:: bipartite
	v = 4 e = 120 f = 62
	degree seq :: [ 40^3, 120 ]

E28.1491 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {20, 30, 60})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^-1 * Y3^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^30, (Y3^-1 * Y1^-1)^20, (Y3 * Y2^-1)^60 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 10, 70, 14, 74, 18, 78, 22, 82, 26, 86, 45, 105, 41, 101, 37, 97, 33, 93, 30, 90, 31, 91, 35, 95, 39, 99, 43, 103, 47, 107, 50, 110, 52, 112, 58, 118, 56, 116, 54, 114, 28, 88, 24, 84, 20, 80, 16, 76, 12, 72, 8, 68, 4, 64)(3, 63, 7, 67, 11, 71, 15, 75, 19, 79, 23, 83, 27, 87, 49, 109, 46, 106, 42, 102, 38, 98, 34, 94, 32, 92, 36, 96, 40, 100, 44, 104, 48, 108, 51, 111, 53, 113, 60, 120, 59, 119, 57, 117, 55, 115, 29, 89, 25, 85, 21, 81, 17, 77, 13, 73, 9, 69, 5, 65)(121, 181)(122, 182)(123, 183)(124, 184)(125, 185)(126, 186)(127, 187)(128, 188)(129, 189)(130, 190)(131, 191)(132, 192)(133, 193)(134, 194)(135, 195)(136, 196)(137, 197)(138, 198)(139, 199)(140, 200)(141, 201)(142, 202)(143, 203)(144, 204)(145, 205)(146, 206)(147, 207)(148, 208)(149, 209)(150, 210)(151, 211)(152, 212)(153, 213)(154, 214)(155, 215)(156, 216)(157, 217)(158, 218)(159, 219)(160, 220)(161, 221)(162, 222)(163, 223)(164, 224)(165, 225)(166, 226)(167, 227)(168, 228)(169, 229)(170, 230)(171, 231)(172, 232)(173, 233)(174, 234)(175, 235)(176, 236)(177, 237)(178, 238)(179, 239)(180, 240)
	L = (1, 123)(2, 127)(3, 122)(4, 125)(5, 121)(6, 131)(7, 126)(8, 129)(9, 124)(10, 135)(11, 130)(12, 133)(13, 128)(14, 139)(15, 134)(16, 137)(17, 132)(18, 143)(19, 138)(20, 141)(21, 136)(22, 147)(23, 142)(24, 145)(25, 140)(26, 169)(27, 146)(28, 149)(29, 144)(30, 152)(31, 156)(32, 151)(33, 154)(34, 150)(35, 160)(36, 155)(37, 158)(38, 153)(39, 164)(40, 159)(41, 162)(42, 157)(43, 168)(44, 163)(45, 166)(46, 161)(47, 171)(48, 167)(49, 165)(50, 173)(51, 170)(52, 180)(53, 172)(54, 175)(55, 148)(56, 177)(57, 174)(58, 179)(59, 176)(60, 178)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 40, 120 ), ( 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120 ) }
Outer automorphisms :: reflexible
Dual of E28.1489
Graph:: simple bipartite
	v = 62 e = 120 f = 4
	degree seq :: [ 2^60, 60^2 ]

E28.1492 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {20, 30, 60})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, Y3^4 * Y1 * Y3 * Y1^2 * Y3, Y3^3 * Y1^-1 * Y3 * Y1^-7, Y3^-2 * Y1^4 * Y3^2 * Y1^-4, Y1^-3 * Y3^-3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1, (Y3 * Y2^-1)^60 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 26, 86, 42, 102, 54, 114, 48, 108, 33, 93, 39, 99, 24, 84, 13, 73, 18, 78, 30, 90, 45, 105, 57, 117, 50, 110, 35, 95, 20, 80, 9, 69, 17, 77, 29, 89, 41, 101, 47, 107, 59, 119, 52, 112, 37, 97, 22, 82, 11, 71, 4, 64)(3, 63, 7, 67, 15, 75, 27, 87, 43, 103, 55, 115, 60, 120, 53, 113, 38, 98, 23, 83, 12, 72, 5, 65, 8, 68, 16, 76, 28, 88, 44, 104, 56, 116, 49, 109, 34, 94, 19, 79, 31, 91, 40, 100, 25, 85, 32, 92, 46, 106, 58, 118, 51, 111, 36, 96, 21, 81, 10, 70)(121, 181)(122, 182)(123, 183)(124, 184)(125, 185)(126, 186)(127, 187)(128, 188)(129, 189)(130, 190)(131, 191)(132, 192)(133, 193)(134, 194)(135, 195)(136, 196)(137, 197)(138, 198)(139, 199)(140, 200)(141, 201)(142, 202)(143, 203)(144, 204)(145, 205)(146, 206)(147, 207)(148, 208)(149, 209)(150, 210)(151, 211)(152, 212)(153, 213)(154, 214)(155, 215)(156, 216)(157, 217)(158, 218)(159, 219)(160, 220)(161, 221)(162, 222)(163, 223)(164, 224)(165, 225)(166, 226)(167, 227)(168, 228)(169, 229)(170, 230)(171, 231)(172, 232)(173, 233)(174, 234)(175, 235)(176, 236)(177, 237)(178, 238)(179, 239)(180, 240)
	L = (1, 123)(2, 127)(3, 129)(4, 130)(5, 121)(6, 135)(7, 137)(8, 122)(9, 139)(10, 140)(11, 141)(12, 124)(13, 125)(14, 147)(15, 149)(16, 126)(17, 151)(18, 128)(19, 153)(20, 154)(21, 155)(22, 156)(23, 131)(24, 132)(25, 133)(26, 163)(27, 161)(28, 134)(29, 160)(30, 136)(31, 159)(32, 138)(33, 158)(34, 168)(35, 169)(36, 170)(37, 171)(38, 142)(39, 143)(40, 144)(41, 145)(42, 175)(43, 167)(44, 146)(45, 148)(46, 150)(47, 152)(48, 173)(49, 174)(50, 176)(51, 177)(52, 178)(53, 157)(54, 180)(55, 179)(56, 162)(57, 164)(58, 165)(59, 166)(60, 172)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 40, 120 ), ( 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120 ) }
Outer automorphisms :: reflexible
Dual of E28.1488
Graph:: simple bipartite
	v = 62 e = 120 f = 4
	degree seq :: [ 2^60, 60^2 ]

E28.1493 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {20, 30, 60})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1, Y3^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1^6, Y1 * Y3 * Y1 * Y3^7, Y3^3 * Y1^-2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-2, (Y3 * Y2^-1)^60 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 26, 86, 35, 95, 20, 80, 9, 69, 17, 77, 29, 89, 43, 103, 53, 113, 57, 117, 49, 109, 33, 93, 46, 106, 41, 101, 47, 107, 55, 115, 58, 118, 52, 112, 39, 99, 24, 84, 13, 73, 18, 78, 30, 90, 37, 97, 22, 82, 11, 71, 4, 64)(3, 63, 7, 67, 15, 75, 27, 87, 42, 102, 50, 110, 34, 94, 19, 79, 31, 91, 44, 104, 54, 114, 59, 119, 60, 120, 56, 116, 48, 108, 40, 100, 25, 85, 32, 92, 45, 105, 51, 111, 38, 98, 23, 83, 12, 72, 5, 65, 8, 68, 16, 76, 28, 88, 36, 96, 21, 81, 10, 70)(121, 181)(122, 182)(123, 183)(124, 184)(125, 185)(126, 186)(127, 187)(128, 188)(129, 189)(130, 190)(131, 191)(132, 192)(133, 193)(134, 194)(135, 195)(136, 196)(137, 197)(138, 198)(139, 199)(140, 200)(141, 201)(142, 202)(143, 203)(144, 204)(145, 205)(146, 206)(147, 207)(148, 208)(149, 209)(150, 210)(151, 211)(152, 212)(153, 213)(154, 214)(155, 215)(156, 216)(157, 217)(158, 218)(159, 219)(160, 220)(161, 221)(162, 222)(163, 223)(164, 224)(165, 225)(166, 226)(167, 227)(168, 228)(169, 229)(170, 230)(171, 231)(172, 232)(173, 233)(174, 234)(175, 235)(176, 236)(177, 237)(178, 238)(179, 239)(180, 240)
	L = (1, 123)(2, 127)(3, 129)(4, 130)(5, 121)(6, 135)(7, 137)(8, 122)(9, 139)(10, 140)(11, 141)(12, 124)(13, 125)(14, 147)(15, 149)(16, 126)(17, 151)(18, 128)(19, 153)(20, 154)(21, 155)(22, 156)(23, 131)(24, 132)(25, 133)(26, 162)(27, 163)(28, 134)(29, 164)(30, 136)(31, 166)(32, 138)(33, 168)(34, 169)(35, 170)(36, 146)(37, 148)(38, 142)(39, 143)(40, 144)(41, 145)(42, 173)(43, 174)(44, 161)(45, 150)(46, 160)(47, 152)(48, 159)(49, 176)(50, 177)(51, 157)(52, 158)(53, 179)(54, 167)(55, 165)(56, 172)(57, 180)(58, 171)(59, 175)(60, 178)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 40, 120 ), ( 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120, 40, 120 ) }
Outer automorphisms :: reflexible
Dual of E28.1490
Graph:: simple bipartite
	v = 62 e = 120 f = 4
	degree seq :: [ 2^60, 60^2 ]

E28.1494 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {15, 60, 60})
Quotient :: edge
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ F^2, (T1, T2^-1), (F * T2)^2, (F * T1)^2, T1^-4 * T2^4, T2^2 * T1^2 * T2^-2 * T1^-2, T2^12 * T1^3, T1^15, T2^60, (T1^-1 * T2^-1)^60 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 26, 38, 47, 56, 57, 52, 43, 34, 22, 32, 18, 8, 2, 7, 17, 31, 37, 46, 55, 58, 49, 44, 35, 23, 11, 21, 30, 16, 6, 15, 29, 40, 45, 54, 59, 50, 41, 36, 24, 12, 4, 10, 20, 28, 14, 27, 39, 48, 53, 60, 51, 42, 33, 25, 13, 5)(61, 62, 66, 74, 86, 97, 105, 113, 117, 109, 101, 93, 82, 71, 64)(63, 67, 75, 87, 98, 106, 114, 120, 112, 104, 96, 85, 92, 81, 70)(65, 68, 76, 88, 79, 91, 100, 108, 116, 118, 110, 102, 94, 83, 72)(69, 77, 89, 99, 107, 115, 119, 111, 103, 95, 84, 73, 78, 90, 80)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 120^15 ), ( 120^60 ) }
Outer automorphisms :: reflexible
Dual of E28.1500
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 60 f = 1
	degree seq :: [ 15^4, 60 ]

E28.1495 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {15, 60, 60})
Quotient :: edge
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T1, T2^-1), (F * T1)^2, T1^-2 * T2^-4, T1^-15, T1^5 * T2^-1 * T1 * T2^-1 * T1^6 * T2^-2 * T1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 11, 21, 28, 35, 30, 37, 44, 51, 46, 53, 59, 56, 47, 55, 50, 41, 31, 40, 34, 25, 14, 24, 18, 8, 2, 7, 17, 12, 4, 10, 20, 27, 22, 29, 36, 43, 38, 45, 52, 58, 54, 60, 57, 49, 39, 48, 42, 33, 23, 32, 26, 16, 6, 15, 13, 5)(61, 62, 66, 74, 83, 91, 99, 107, 114, 106, 98, 90, 82, 71, 64)(63, 67, 75, 84, 92, 100, 108, 115, 120, 113, 105, 97, 89, 81, 70)(65, 68, 76, 85, 93, 101, 109, 116, 118, 111, 103, 95, 87, 79, 72)(69, 77, 73, 78, 86, 94, 102, 110, 117, 119, 112, 104, 96, 88, 80)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 120^15 ), ( 120^60 ) }
Outer automorphisms :: reflexible
Dual of E28.1499
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 60 f = 1
	degree seq :: [ 15^4, 60 ]

E28.1496 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {15, 60, 60})
Quotient :: edge
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^2 * T2^2 * T1^-2 * T2^-2, T2 * T1 * T2^7, T1^-2 * T2 * T1^-1 * T2^3 * T1^-4, (T1^-1 * T2^-1)^60 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 40, 24, 12, 4, 10, 20, 34, 50, 57, 39, 23, 11, 21, 35, 51, 42, 58, 56, 38, 22, 36, 52, 44, 26, 43, 59, 55, 37, 53, 46, 28, 14, 27, 45, 60, 54, 48, 30, 16, 6, 15, 29, 47, 49, 32, 18, 8, 2, 7, 17, 31, 41, 25, 13, 5)(61, 62, 66, 74, 86, 102, 110, 93, 101, 109, 114, 97, 82, 71, 64)(63, 67, 75, 87, 103, 118, 117, 100, 85, 92, 108, 113, 96, 81, 70)(65, 68, 76, 88, 104, 111, 94, 79, 91, 107, 120, 115, 98, 83, 72)(69, 77, 89, 105, 119, 116, 99, 84, 73, 78, 90, 106, 112, 95, 80)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 120^15 ), ( 120^60 ) }
Outer automorphisms :: reflexible
Dual of E28.1498
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 60 f = 1
	degree seq :: [ 15^4, 60 ]

E28.1497 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {15, 60, 60})
Quotient :: edge
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1), (F * T2)^2, (F * T1)^2, T2 * T1^-3 * T2^-1 * T1^3, T1^-7 * T2, T2 * T1^-3 * T2^8, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 47, 56, 42, 28, 14, 27, 41, 55, 52, 38, 24, 12, 4, 10, 20, 34, 48, 58, 44, 30, 16, 6, 15, 29, 43, 57, 51, 37, 23, 11, 21, 35, 49, 60, 46, 32, 18, 8, 2, 7, 17, 31, 45, 59, 50, 36, 22, 26, 40, 54, 53, 39, 25, 13, 5)(61, 62, 66, 74, 86, 81, 70, 63, 67, 75, 87, 100, 95, 80, 69, 77, 89, 101, 114, 109, 94, 79, 91, 103, 115, 113, 120, 108, 93, 105, 117, 112, 99, 106, 118, 107, 119, 111, 98, 85, 92, 104, 116, 110, 97, 84, 73, 78, 90, 102, 96, 83, 72, 65, 68, 76, 88, 82, 71, 64)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30^60 ) }
Outer automorphisms :: reflexible
Dual of E28.1501
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 60 f = 4
	degree seq :: [ 60^2 ]

E28.1498 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {15, 60, 60})
Quotient :: loop
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ F^2, (T1, T2^-1), (F * T2)^2, (F * T1)^2, T1^-4 * T2^4, T2^2 * T1^2 * T2^-2 * T1^-2, T2^12 * T1^3, T1^15, T2^60, (T1^-1 * T2^-1)^60 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 9, 69, 19, 79, 26, 86, 38, 98, 47, 107, 56, 116, 57, 117, 52, 112, 43, 103, 34, 94, 22, 82, 32, 92, 18, 78, 8, 68, 2, 62, 7, 67, 17, 77, 31, 91, 37, 97, 46, 106, 55, 115, 58, 118, 49, 109, 44, 104, 35, 95, 23, 83, 11, 71, 21, 81, 30, 90, 16, 76, 6, 66, 15, 75, 29, 89, 40, 100, 45, 105, 54, 114, 59, 119, 50, 110, 41, 101, 36, 96, 24, 84, 12, 72, 4, 64, 10, 70, 20, 80, 28, 88, 14, 74, 27, 87, 39, 99, 48, 108, 53, 113, 60, 120, 51, 111, 42, 102, 33, 93, 25, 85, 13, 73, 5, 65)
	L = (1, 62)(2, 66)(3, 67)(4, 61)(5, 68)(6, 74)(7, 75)(8, 76)(9, 77)(10, 63)(11, 64)(12, 65)(13, 78)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 69)(21, 70)(22, 71)(23, 72)(24, 73)(25, 92)(26, 97)(27, 98)(28, 79)(29, 99)(30, 80)(31, 100)(32, 81)(33, 82)(34, 83)(35, 84)(36, 85)(37, 105)(38, 106)(39, 107)(40, 108)(41, 93)(42, 94)(43, 95)(44, 96)(45, 113)(46, 114)(47, 115)(48, 116)(49, 101)(50, 102)(51, 103)(52, 104)(53, 117)(54, 120)(55, 119)(56, 118)(57, 109)(58, 110)(59, 111)(60, 112)
	local type(s) :: { ( 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.1496
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 60 f = 5
	degree seq :: [ 120 ]

E28.1499 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {15, 60, 60})
Quotient :: loop
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T1, T2^-1), (F * T1)^2, T1^-2 * T2^-4, T1^-15, T1^5 * T2^-1 * T1 * T2^-1 * T1^6 * T2^-2 * T1 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 9, 69, 19, 79, 11, 71, 21, 81, 28, 88, 35, 95, 30, 90, 37, 97, 44, 104, 51, 111, 46, 106, 53, 113, 59, 119, 56, 116, 47, 107, 55, 115, 50, 110, 41, 101, 31, 91, 40, 100, 34, 94, 25, 85, 14, 74, 24, 84, 18, 78, 8, 68, 2, 62, 7, 67, 17, 77, 12, 72, 4, 64, 10, 70, 20, 80, 27, 87, 22, 82, 29, 89, 36, 96, 43, 103, 38, 98, 45, 105, 52, 112, 58, 118, 54, 114, 60, 120, 57, 117, 49, 109, 39, 99, 48, 108, 42, 102, 33, 93, 23, 83, 32, 92, 26, 86, 16, 76, 6, 66, 15, 75, 13, 73, 5, 65)
	L = (1, 62)(2, 66)(3, 67)(4, 61)(5, 68)(6, 74)(7, 75)(8, 76)(9, 77)(10, 63)(11, 64)(12, 65)(13, 78)(14, 83)(15, 84)(16, 85)(17, 73)(18, 86)(19, 72)(20, 69)(21, 70)(22, 71)(23, 91)(24, 92)(25, 93)(26, 94)(27, 79)(28, 80)(29, 81)(30, 82)(31, 99)(32, 100)(33, 101)(34, 102)(35, 87)(36, 88)(37, 89)(38, 90)(39, 107)(40, 108)(41, 109)(42, 110)(43, 95)(44, 96)(45, 97)(46, 98)(47, 114)(48, 115)(49, 116)(50, 117)(51, 103)(52, 104)(53, 105)(54, 106)(55, 120)(56, 118)(57, 119)(58, 111)(59, 112)(60, 113)
	local type(s) :: { ( 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.1495
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 60 f = 5
	degree seq :: [ 120 ]

E28.1500 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {15, 60, 60})
Quotient :: loop
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^2 * T2^2 * T1^-2 * T2^-2, T2 * T1 * T2^7, T1^-2 * T2 * T1^-1 * T2^3 * T1^-4, (T1^-1 * T2^-1)^60 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 9, 69, 19, 79, 33, 93, 40, 100, 24, 84, 12, 72, 4, 64, 10, 70, 20, 80, 34, 94, 50, 110, 57, 117, 39, 99, 23, 83, 11, 71, 21, 81, 35, 95, 51, 111, 42, 102, 58, 118, 56, 116, 38, 98, 22, 82, 36, 96, 52, 112, 44, 104, 26, 86, 43, 103, 59, 119, 55, 115, 37, 97, 53, 113, 46, 106, 28, 88, 14, 74, 27, 87, 45, 105, 60, 120, 54, 114, 48, 108, 30, 90, 16, 76, 6, 66, 15, 75, 29, 89, 47, 107, 49, 109, 32, 92, 18, 78, 8, 68, 2, 62, 7, 67, 17, 77, 31, 91, 41, 101, 25, 85, 13, 73, 5, 65)
	L = (1, 62)(2, 66)(3, 67)(4, 61)(5, 68)(6, 74)(7, 75)(8, 76)(9, 77)(10, 63)(11, 64)(12, 65)(13, 78)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 69)(21, 70)(22, 71)(23, 72)(24, 73)(25, 92)(26, 102)(27, 103)(28, 104)(29, 105)(30, 106)(31, 107)(32, 108)(33, 101)(34, 79)(35, 80)(36, 81)(37, 82)(38, 83)(39, 84)(40, 85)(41, 109)(42, 110)(43, 118)(44, 111)(45, 119)(46, 112)(47, 120)(48, 113)(49, 114)(50, 93)(51, 94)(52, 95)(53, 96)(54, 97)(55, 98)(56, 99)(57, 100)(58, 117)(59, 116)(60, 115)
	local type(s) :: { ( 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60, 15, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.1494
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 60 f = 5
	degree seq :: [ 120 ]

E28.1501 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {15, 60, 60})
Quotient :: loop
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ F^2, (T1, T2), (F * T2)^2, (F * T1)^2, T1^-4 * T2^4, T1^-12 * T2^-3, T1^4 * T2 * T1^2 * T2^2 * T1^6, T1^-1 * T2^-4 * T1^-1 * T2^-3 * T1^-1 * T2^-3 * T1^-1 * T2^-1, T2^15, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 9, 69, 19, 79, 26, 86, 38, 98, 47, 107, 56, 116, 60, 120, 51, 111, 42, 102, 33, 93, 25, 85, 13, 73, 5, 65)(2, 62, 7, 67, 17, 77, 31, 91, 37, 97, 46, 106, 55, 115, 57, 117, 52, 112, 43, 103, 34, 94, 22, 82, 32, 92, 18, 78, 8, 68)(4, 64, 10, 70, 20, 80, 28, 88, 14, 74, 27, 87, 39, 99, 48, 108, 53, 113, 59, 119, 50, 110, 41, 101, 36, 96, 24, 84, 12, 72)(6, 66, 15, 75, 29, 89, 40, 100, 45, 105, 54, 114, 58, 118, 49, 109, 44, 104, 35, 95, 23, 83, 11, 71, 21, 81, 30, 90, 16, 76)
	L = (1, 62)(2, 66)(3, 67)(4, 61)(5, 68)(6, 74)(7, 75)(8, 76)(9, 77)(10, 63)(11, 64)(12, 65)(13, 78)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 69)(21, 70)(22, 71)(23, 72)(24, 73)(25, 92)(26, 97)(27, 98)(28, 79)(29, 99)(30, 80)(31, 100)(32, 81)(33, 82)(34, 83)(35, 84)(36, 85)(37, 105)(38, 106)(39, 107)(40, 108)(41, 93)(42, 94)(43, 95)(44, 96)(45, 113)(46, 114)(47, 115)(48, 116)(49, 101)(50, 102)(51, 103)(52, 104)(53, 120)(54, 119)(55, 118)(56, 117)(57, 109)(58, 110)(59, 111)(60, 112)
	local type(s) :: { ( 60^30 ) }
Outer automorphisms :: reflexible
Dual of E28.1497
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 60 f = 2
	degree seq :: [ 30^4 ]

E28.1502 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 60, 60})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (Y2^-1, Y3^-1), (Y2^-1, Y1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y2^4 * Y1^-3, Y2^3 * Y1^2 * Y2 * Y1 * Y2^3 * Y1 * Y3^-3 * Y2, Y1^15, (Y3^-1 * Y1^3)^15, (Y2^-1 * Y3)^60 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 26, 86, 37, 97, 45, 105, 53, 113, 57, 117, 49, 109, 41, 101, 33, 93, 22, 82, 11, 71, 4, 64)(3, 63, 7, 67, 15, 75, 27, 87, 38, 98, 46, 106, 54, 114, 60, 120, 52, 112, 44, 104, 36, 96, 25, 85, 32, 92, 21, 81, 10, 70)(5, 65, 8, 68, 16, 76, 28, 88, 19, 79, 31, 91, 40, 100, 48, 108, 56, 116, 58, 118, 50, 110, 42, 102, 34, 94, 23, 83, 12, 72)(9, 69, 17, 77, 29, 89, 39, 99, 47, 107, 55, 115, 59, 119, 51, 111, 43, 103, 35, 95, 24, 84, 13, 73, 18, 78, 30, 90, 20, 80)(121, 181, 123, 183, 129, 189, 139, 199, 146, 206, 158, 218, 167, 227, 176, 236, 177, 237, 172, 232, 163, 223, 154, 214, 142, 202, 152, 212, 138, 198, 128, 188, 122, 182, 127, 187, 137, 197, 151, 211, 157, 217, 166, 226, 175, 235, 178, 238, 169, 229, 164, 224, 155, 215, 143, 203, 131, 191, 141, 201, 150, 210, 136, 196, 126, 186, 135, 195, 149, 209, 160, 220, 165, 225, 174, 234, 179, 239, 170, 230, 161, 221, 156, 216, 144, 204, 132, 192, 124, 184, 130, 190, 140, 200, 148, 208, 134, 194, 147, 207, 159, 219, 168, 228, 173, 233, 180, 240, 171, 231, 162, 222, 153, 213, 145, 205, 133, 193, 125, 185)
	L = (1, 124)(2, 121)(3, 130)(4, 131)(5, 132)(6, 122)(7, 123)(8, 125)(9, 140)(10, 141)(11, 142)(12, 143)(13, 144)(14, 126)(15, 127)(16, 128)(17, 129)(18, 133)(19, 148)(20, 150)(21, 152)(22, 153)(23, 154)(24, 155)(25, 156)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 145)(33, 161)(34, 162)(35, 163)(36, 164)(37, 146)(38, 147)(39, 149)(40, 151)(41, 169)(42, 170)(43, 171)(44, 172)(45, 157)(46, 158)(47, 159)(48, 160)(49, 177)(50, 178)(51, 179)(52, 180)(53, 165)(54, 166)(55, 167)(56, 168)(57, 173)(58, 176)(59, 175)(60, 174)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120 ), ( 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120 ) }
Outer automorphisms :: reflexible
Dual of E28.1509
Graph:: bipartite
	v = 5 e = 120 f = 61
	degree seq :: [ 30^4, 120 ]

E28.1503 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 60, 60})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y2), (R * Y1)^2, Y2^-1 * Y3 * Y2^-3 * Y3, Y1^15, Y1^7 * Y3^-1 * Y2^-1 * Y3^-6 * Y2 * Y3^-1 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 23, 83, 31, 91, 39, 99, 47, 107, 54, 114, 46, 106, 38, 98, 30, 90, 22, 82, 11, 71, 4, 64)(3, 63, 7, 67, 15, 75, 24, 84, 32, 92, 40, 100, 48, 108, 55, 115, 60, 120, 53, 113, 45, 105, 37, 97, 29, 89, 21, 81, 10, 70)(5, 65, 8, 68, 16, 76, 25, 85, 33, 93, 41, 101, 49, 109, 56, 116, 58, 118, 51, 111, 43, 103, 35, 95, 27, 87, 19, 79, 12, 72)(9, 69, 17, 77, 13, 73, 18, 78, 26, 86, 34, 94, 42, 102, 50, 110, 57, 117, 59, 119, 52, 112, 44, 104, 36, 96, 28, 88, 20, 80)(121, 181, 123, 183, 129, 189, 139, 199, 131, 191, 141, 201, 148, 208, 155, 215, 150, 210, 157, 217, 164, 224, 171, 231, 166, 226, 173, 233, 179, 239, 176, 236, 167, 227, 175, 235, 170, 230, 161, 221, 151, 211, 160, 220, 154, 214, 145, 205, 134, 194, 144, 204, 138, 198, 128, 188, 122, 182, 127, 187, 137, 197, 132, 192, 124, 184, 130, 190, 140, 200, 147, 207, 142, 202, 149, 209, 156, 216, 163, 223, 158, 218, 165, 225, 172, 232, 178, 238, 174, 234, 180, 240, 177, 237, 169, 229, 159, 219, 168, 228, 162, 222, 153, 213, 143, 203, 152, 212, 146, 206, 136, 196, 126, 186, 135, 195, 133, 193, 125, 185)
	L = (1, 124)(2, 121)(3, 130)(4, 131)(5, 132)(6, 122)(7, 123)(8, 125)(9, 140)(10, 141)(11, 142)(12, 139)(13, 137)(14, 126)(15, 127)(16, 128)(17, 129)(18, 133)(19, 147)(20, 148)(21, 149)(22, 150)(23, 134)(24, 135)(25, 136)(26, 138)(27, 155)(28, 156)(29, 157)(30, 158)(31, 143)(32, 144)(33, 145)(34, 146)(35, 163)(36, 164)(37, 165)(38, 166)(39, 151)(40, 152)(41, 153)(42, 154)(43, 171)(44, 172)(45, 173)(46, 174)(47, 159)(48, 160)(49, 161)(50, 162)(51, 178)(52, 179)(53, 180)(54, 167)(55, 168)(56, 169)(57, 170)(58, 176)(59, 177)(60, 175)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120 ), ( 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120 ) }
Outer automorphisms :: reflexible
Dual of E28.1508
Graph:: bipartite
	v = 5 e = 120 f = 61
	degree seq :: [ 30^4, 120 ]

E28.1504 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 60, 60})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2^-1), (Y2, Y1^-1), Y2 * Y3 * Y1^-1 * Y2^-1 * Y1^2, Y1^2 * Y2^-2 * Y3^2 * Y2^2, Y2^8 * Y1, Y3^3 * Y2 * Y3 * Y2^3 * Y3 * Y1^-2, Y1^3 * Y2^-1 * Y1 * Y2^-1 * Y3^-3 * Y2^-2, Y1^15, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 26, 86, 42, 102, 50, 110, 33, 93, 41, 101, 49, 109, 54, 114, 37, 97, 22, 82, 11, 71, 4, 64)(3, 63, 7, 67, 15, 75, 27, 87, 43, 103, 58, 118, 57, 117, 40, 100, 25, 85, 32, 92, 48, 108, 53, 113, 36, 96, 21, 81, 10, 70)(5, 65, 8, 68, 16, 76, 28, 88, 44, 104, 51, 111, 34, 94, 19, 79, 31, 91, 47, 107, 60, 120, 55, 115, 38, 98, 23, 83, 12, 72)(9, 69, 17, 77, 29, 89, 45, 105, 59, 119, 56, 116, 39, 99, 24, 84, 13, 73, 18, 78, 30, 90, 46, 106, 52, 112, 35, 95, 20, 80)(121, 181, 123, 183, 129, 189, 139, 199, 153, 213, 160, 220, 144, 204, 132, 192, 124, 184, 130, 190, 140, 200, 154, 214, 170, 230, 177, 237, 159, 219, 143, 203, 131, 191, 141, 201, 155, 215, 171, 231, 162, 222, 178, 238, 176, 236, 158, 218, 142, 202, 156, 216, 172, 232, 164, 224, 146, 206, 163, 223, 179, 239, 175, 235, 157, 217, 173, 233, 166, 226, 148, 208, 134, 194, 147, 207, 165, 225, 180, 240, 174, 234, 168, 228, 150, 210, 136, 196, 126, 186, 135, 195, 149, 209, 167, 227, 169, 229, 152, 212, 138, 198, 128, 188, 122, 182, 127, 187, 137, 197, 151, 211, 161, 221, 145, 205, 133, 193, 125, 185)
	L = (1, 124)(2, 121)(3, 130)(4, 131)(5, 132)(6, 122)(7, 123)(8, 125)(9, 140)(10, 141)(11, 142)(12, 143)(13, 144)(14, 126)(15, 127)(16, 128)(17, 129)(18, 133)(19, 154)(20, 155)(21, 156)(22, 157)(23, 158)(24, 159)(25, 160)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 145)(33, 170)(34, 171)(35, 172)(36, 173)(37, 174)(38, 175)(39, 176)(40, 177)(41, 153)(42, 146)(43, 147)(44, 148)(45, 149)(46, 150)(47, 151)(48, 152)(49, 161)(50, 162)(51, 164)(52, 166)(53, 168)(54, 169)(55, 180)(56, 179)(57, 178)(58, 163)(59, 165)(60, 167)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120 ), ( 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120 ) }
Outer automorphisms :: reflexible
Dual of E28.1507
Graph:: bipartite
	v = 5 e = 120 f = 61
	degree seq :: [ 30^4, 120 ]

E28.1505 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 60, 60})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, (Y2, Y1), (R * Y1)^2, R * Y2 * R * Y3, Y2^6 * Y1^-1 * Y2, Y1 * Y2 * Y1 * Y2 * Y1^4 * Y2 * Y1^2 * Y2, Y2 * Y1^-1 * Y2 * Y1^-2 * Y2 * Y1^-6, Y1^-1 * Y2^-1 * Y1^-1 * Y2^-4 * Y1^-1 * Y2^-4 * Y1^-1 * Y2^-4 * Y1^-1 * Y2^-4 * Y1^-1 * Y2^-1, (Y3^-1 * Y1^-1)^15 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 26, 86, 40, 100, 54, 114, 47, 107, 33, 93, 19, 79, 31, 91, 45, 105, 59, 119, 51, 111, 37, 97, 23, 83, 12, 72, 5, 65, 8, 68, 16, 76, 28, 88, 42, 102, 56, 116, 48, 108, 34, 94, 20, 80, 9, 69, 17, 77, 29, 89, 43, 103, 57, 117, 52, 112, 38, 98, 24, 84, 13, 73, 18, 78, 30, 90, 44, 104, 58, 118, 49, 109, 35, 95, 21, 81, 10, 70, 3, 63, 7, 67, 15, 75, 27, 87, 41, 101, 55, 115, 53, 113, 39, 99, 25, 85, 32, 92, 46, 106, 60, 120, 50, 110, 36, 96, 22, 82, 11, 71, 4, 64)(121, 181, 123, 183, 129, 189, 139, 199, 152, 212, 138, 198, 128, 188, 122, 182, 127, 187, 137, 197, 151, 211, 166, 226, 150, 210, 136, 196, 126, 186, 135, 195, 149, 209, 165, 225, 180, 240, 164, 224, 148, 208, 134, 194, 147, 207, 163, 223, 179, 239, 170, 230, 178, 238, 162, 222, 146, 206, 161, 221, 177, 237, 171, 231, 156, 216, 169, 229, 176, 236, 160, 220, 175, 235, 172, 232, 157, 217, 142, 202, 155, 215, 168, 228, 174, 234, 173, 233, 158, 218, 143, 203, 131, 191, 141, 201, 154, 214, 167, 227, 159, 219, 144, 204, 132, 192, 124, 184, 130, 190, 140, 200, 153, 213, 145, 205, 133, 193, 125, 185)
	L = (1, 123)(2, 127)(3, 129)(4, 130)(5, 121)(6, 135)(7, 137)(8, 122)(9, 139)(10, 140)(11, 141)(12, 124)(13, 125)(14, 147)(15, 149)(16, 126)(17, 151)(18, 128)(19, 152)(20, 153)(21, 154)(22, 155)(23, 131)(24, 132)(25, 133)(26, 161)(27, 163)(28, 134)(29, 165)(30, 136)(31, 166)(32, 138)(33, 145)(34, 167)(35, 168)(36, 169)(37, 142)(38, 143)(39, 144)(40, 175)(41, 177)(42, 146)(43, 179)(44, 148)(45, 180)(46, 150)(47, 159)(48, 174)(49, 176)(50, 178)(51, 156)(52, 157)(53, 158)(54, 173)(55, 172)(56, 160)(57, 171)(58, 162)(59, 170)(60, 164)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30 ) }
Outer automorphisms :: reflexible
Dual of E28.1506
Graph:: bipartite
	v = 2 e = 120 f = 64
	degree seq :: [ 120^2 ]

E28.1506 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 60, 60})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y2, Y3), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2^-4 * Y3^-4, Y3^-12 * Y2^3, Y2^5 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-6, Y2^15, (Y2^-1 * Y3)^60, (Y3^-1 * Y1^-1)^60 ]
Map::
	R = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)(121, 181, 122, 182, 126, 186, 134, 194, 146, 206, 157, 217, 165, 225, 173, 233, 180, 240, 171, 231, 162, 222, 153, 213, 142, 202, 131, 191, 124, 184)(123, 183, 127, 187, 135, 195, 147, 207, 145, 205, 152, 212, 160, 220, 168, 228, 176, 236, 179, 239, 170, 230, 161, 221, 156, 216, 141, 201, 130, 190)(125, 185, 128, 188, 136, 196, 148, 208, 158, 218, 166, 226, 174, 234, 177, 237, 172, 232, 163, 223, 154, 214, 139, 199, 151, 211, 143, 203, 132, 192)(129, 189, 137, 197, 149, 209, 144, 204, 133, 193, 138, 198, 150, 210, 159, 219, 167, 227, 175, 235, 178, 238, 169, 229, 164, 224, 155, 215, 140, 200)
	L = (1, 123)(2, 127)(3, 129)(4, 130)(5, 121)(6, 135)(7, 137)(8, 122)(9, 139)(10, 140)(11, 141)(12, 124)(13, 125)(14, 147)(15, 149)(16, 126)(17, 151)(18, 128)(19, 153)(20, 154)(21, 155)(22, 156)(23, 131)(24, 132)(25, 133)(26, 145)(27, 144)(28, 134)(29, 143)(30, 136)(31, 142)(32, 138)(33, 161)(34, 162)(35, 163)(36, 164)(37, 152)(38, 146)(39, 148)(40, 150)(41, 169)(42, 170)(43, 171)(44, 172)(45, 160)(46, 157)(47, 158)(48, 159)(49, 177)(50, 178)(51, 179)(52, 180)(53, 168)(54, 165)(55, 166)(56, 167)(57, 173)(58, 174)(59, 175)(60, 176)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 120, 120 ), ( 120^30 ) }
Outer automorphisms :: reflexible
Dual of E28.1505
Graph:: simple bipartite
	v = 64 e = 120 f = 2
	degree seq :: [ 2^60, 30^4 ]

E28.1507 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 60, 60})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1, Y1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^2 * Y1^-1 * Y3^2 * Y1^-3, Y1^5 * Y3 * Y1^2 * Y3^2 * Y1^5, Y1^-1 * Y3^-3 * Y1^-1 * Y3^-3 * Y1^-1 * Y3^-3 * Y1^-1 * Y3^-2, (Y3 * Y2^-1)^15, (Y1^-1 * Y3^-1)^60 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 26, 86, 37, 97, 45, 105, 53, 113, 60, 120, 52, 112, 44, 104, 36, 96, 25, 85, 32, 92, 21, 81, 10, 70, 3, 63, 7, 67, 15, 75, 27, 87, 38, 98, 46, 106, 54, 114, 59, 119, 51, 111, 43, 103, 35, 95, 24, 84, 13, 73, 18, 78, 30, 90, 20, 80, 9, 69, 17, 77, 29, 89, 39, 99, 47, 107, 55, 115, 58, 118, 50, 110, 42, 102, 34, 94, 23, 83, 12, 72, 5, 65, 8, 68, 16, 76, 28, 88, 19, 79, 31, 91, 40, 100, 48, 108, 56, 116, 57, 117, 49, 109, 41, 101, 33, 93, 22, 82, 11, 71, 4, 64)(121, 181)(122, 182)(123, 183)(124, 184)(125, 185)(126, 186)(127, 187)(128, 188)(129, 189)(130, 190)(131, 191)(132, 192)(133, 193)(134, 194)(135, 195)(136, 196)(137, 197)(138, 198)(139, 199)(140, 200)(141, 201)(142, 202)(143, 203)(144, 204)(145, 205)(146, 206)(147, 207)(148, 208)(149, 209)(150, 210)(151, 211)(152, 212)(153, 213)(154, 214)(155, 215)(156, 216)(157, 217)(158, 218)(159, 219)(160, 220)(161, 221)(162, 222)(163, 223)(164, 224)(165, 225)(166, 226)(167, 227)(168, 228)(169, 229)(170, 230)(171, 231)(172, 232)(173, 233)(174, 234)(175, 235)(176, 236)(177, 237)(178, 238)(179, 239)(180, 240)
	L = (1, 123)(2, 127)(3, 129)(4, 130)(5, 121)(6, 135)(7, 137)(8, 122)(9, 139)(10, 140)(11, 141)(12, 124)(13, 125)(14, 147)(15, 149)(16, 126)(17, 151)(18, 128)(19, 146)(20, 148)(21, 150)(22, 152)(23, 131)(24, 132)(25, 133)(26, 158)(27, 159)(28, 134)(29, 160)(30, 136)(31, 157)(32, 138)(33, 145)(34, 142)(35, 143)(36, 144)(37, 166)(38, 167)(39, 168)(40, 165)(41, 156)(42, 153)(43, 154)(44, 155)(45, 174)(46, 175)(47, 176)(48, 173)(49, 164)(50, 161)(51, 162)(52, 163)(53, 179)(54, 178)(55, 177)(56, 180)(57, 172)(58, 169)(59, 170)(60, 171)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 30, 120 ), ( 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120 ) }
Outer automorphisms :: reflexible
Dual of E28.1504
Graph:: bipartite
	v = 61 e = 120 f = 5
	degree seq :: [ 2^60, 120 ]

E28.1508 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 60, 60})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3, Y1), (R * Y3)^2, (R * Y1)^2, Y3^-2 * Y1^-4, (R * Y2 * Y3^-1)^2, Y3^-15, (Y3 * Y2^-1)^15 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 13, 73, 18, 78, 24, 84, 31, 91, 30, 90, 34, 94, 40, 100, 47, 107, 46, 106, 50, 110, 56, 116, 59, 119, 51, 111, 57, 117, 53, 113, 44, 104, 35, 95, 41, 101, 37, 97, 28, 88, 19, 79, 25, 85, 21, 81, 10, 70, 3, 63, 7, 67, 15, 75, 12, 72, 5, 65, 8, 68, 16, 76, 23, 83, 22, 82, 26, 86, 32, 92, 39, 99, 38, 98, 42, 102, 48, 108, 55, 115, 54, 114, 58, 118, 60, 120, 52, 112, 43, 103, 49, 109, 45, 105, 36, 96, 27, 87, 33, 93, 29, 89, 20, 80, 9, 69, 17, 77, 11, 71, 4, 64)(121, 181)(122, 182)(123, 183)(124, 184)(125, 185)(126, 186)(127, 187)(128, 188)(129, 189)(130, 190)(131, 191)(132, 192)(133, 193)(134, 194)(135, 195)(136, 196)(137, 197)(138, 198)(139, 199)(140, 200)(141, 201)(142, 202)(143, 203)(144, 204)(145, 205)(146, 206)(147, 207)(148, 208)(149, 209)(150, 210)(151, 211)(152, 212)(153, 213)(154, 214)(155, 215)(156, 216)(157, 217)(158, 218)(159, 219)(160, 220)(161, 221)(162, 222)(163, 223)(164, 224)(165, 225)(166, 226)(167, 227)(168, 228)(169, 229)(170, 230)(171, 231)(172, 232)(173, 233)(174, 234)(175, 235)(176, 236)(177, 237)(178, 238)(179, 239)(180, 240)
	L = (1, 123)(2, 127)(3, 129)(4, 130)(5, 121)(6, 135)(7, 137)(8, 122)(9, 139)(10, 140)(11, 141)(12, 124)(13, 125)(14, 132)(15, 131)(16, 126)(17, 145)(18, 128)(19, 147)(20, 148)(21, 149)(22, 133)(23, 134)(24, 136)(25, 153)(26, 138)(27, 155)(28, 156)(29, 157)(30, 142)(31, 143)(32, 144)(33, 161)(34, 146)(35, 163)(36, 164)(37, 165)(38, 150)(39, 151)(40, 152)(41, 169)(42, 154)(43, 171)(44, 172)(45, 173)(46, 158)(47, 159)(48, 160)(49, 177)(50, 162)(51, 174)(52, 179)(53, 180)(54, 166)(55, 167)(56, 168)(57, 178)(58, 170)(59, 175)(60, 176)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 30, 120 ), ( 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120 ) }
Outer automorphisms :: reflexible
Dual of E28.1503
Graph:: bipartite
	v = 61 e = 120 f = 5
	degree seq :: [ 2^60, 120 ]

E28.1509 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 60, 60})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, Y1 * Y3^2 * Y1^-2 * Y3^-2 * Y1, Y1^4 * Y3 * Y1^4, Y1^2 * Y3^-1 * Y1 * Y3^-6 * Y1, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-2 * Y1^-1 * Y3^-5 * Y1^-1, (Y3 * Y2^-1)^15, (Y1^-1 * Y3^-1)^60 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 26, 86, 38, 98, 23, 83, 12, 72, 5, 65, 8, 68, 16, 76, 28, 88, 42, 102, 54, 114, 39, 99, 24, 84, 13, 73, 18, 78, 30, 90, 44, 104, 49, 109, 60, 120, 55, 115, 40, 100, 25, 85, 32, 92, 46, 106, 50, 110, 33, 93, 47, 107, 59, 119, 56, 116, 41, 101, 48, 108, 51, 111, 34, 94, 19, 79, 31, 91, 45, 105, 58, 118, 57, 117, 52, 112, 35, 95, 20, 80, 9, 69, 17, 77, 29, 89, 43, 103, 53, 113, 36, 96, 21, 81, 10, 70, 3, 63, 7, 67, 15, 75, 27, 87, 37, 97, 22, 82, 11, 71, 4, 64)(121, 181)(122, 182)(123, 183)(124, 184)(125, 185)(126, 186)(127, 187)(128, 188)(129, 189)(130, 190)(131, 191)(132, 192)(133, 193)(134, 194)(135, 195)(136, 196)(137, 197)(138, 198)(139, 199)(140, 200)(141, 201)(142, 202)(143, 203)(144, 204)(145, 205)(146, 206)(147, 207)(148, 208)(149, 209)(150, 210)(151, 211)(152, 212)(153, 213)(154, 214)(155, 215)(156, 216)(157, 217)(158, 218)(159, 219)(160, 220)(161, 221)(162, 222)(163, 223)(164, 224)(165, 225)(166, 226)(167, 227)(168, 228)(169, 229)(170, 230)(171, 231)(172, 232)(173, 233)(174, 234)(175, 235)(176, 236)(177, 237)(178, 238)(179, 239)(180, 240)
	L = (1, 123)(2, 127)(3, 129)(4, 130)(5, 121)(6, 135)(7, 137)(8, 122)(9, 139)(10, 140)(11, 141)(12, 124)(13, 125)(14, 147)(15, 149)(16, 126)(17, 151)(18, 128)(19, 153)(20, 154)(21, 155)(22, 156)(23, 131)(24, 132)(25, 133)(26, 157)(27, 163)(28, 134)(29, 165)(30, 136)(31, 167)(32, 138)(33, 169)(34, 170)(35, 171)(36, 172)(37, 173)(38, 142)(39, 143)(40, 144)(41, 145)(42, 146)(43, 178)(44, 148)(45, 179)(46, 150)(47, 180)(48, 152)(49, 162)(50, 164)(51, 166)(52, 168)(53, 177)(54, 158)(55, 159)(56, 160)(57, 161)(58, 176)(59, 175)(60, 174)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 30, 120 ), ( 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120, 30, 120 ) }
Outer automorphisms :: reflexible
Dual of E28.1502
Graph:: bipartite
	v = 61 e = 120 f = 5
	degree seq :: [ 2^60, 120 ]

E28.1510 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 3, 7})
Quotient :: edge^2
Aut^+ = C3 x (C7 : C3) (small group id <63, 3>)
Aut   = (C3 x (C7 : C3)) : C2 (small group id <126, 9>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3^3, Y1^3, (Y3, Y2^-1), R * Y1 * R * Y2, (Y3^-1, Y1^-1), (R * Y3)^2, (Y2 * Y1^-1)^3, Y3 * Y2^-1 * Y1^-1 * Y3 * Y1 * Y2 * Y3, Y1 * Y2 * Y3 * Y1 * Y2 * Y1^-1 * Y2^-1, Y1 * Y2 * Y1^-1 * Y3 * Y2^-1 * Y1 * Y2, Y3^-1 * Y1^-2 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 64, 4, 67, 7, 70)(2, 65, 9, 72, 11, 74)(3, 66, 13, 76, 15, 78)(5, 68, 16, 79, 20, 83)(6, 69, 17, 80, 23, 86)(8, 71, 25, 88, 27, 90)(10, 73, 28, 91, 31, 94)(12, 75, 33, 96, 35, 98)(14, 77, 36, 99, 38, 101)(18, 81, 39, 102, 45, 108)(19, 82, 40, 103, 48, 111)(21, 84, 41, 104, 50, 113)(22, 85, 42, 105, 53, 116)(24, 87, 34, 97, 55, 118)(26, 89, 51, 114, 56, 119)(29, 92, 57, 120, 59, 122)(30, 93, 58, 121, 49, 112)(32, 95, 43, 106, 54, 117)(37, 100, 47, 110, 63, 126)(44, 107, 60, 123, 61, 124)(46, 109, 52, 115, 62, 125)(127, 128, 131)(129, 138, 140)(130, 135, 142)(132, 147, 148)(133, 137, 146)(134, 150, 152)(136, 155, 156)(139, 159, 162)(141, 161, 164)(143, 167, 168)(144, 169, 170)(145, 172, 173)(149, 176, 179)(151, 160, 177)(153, 181, 182)(154, 183, 184)(157, 185, 175)(158, 187, 171)(163, 174, 188)(165, 180, 186)(166, 178, 189)(190, 192, 195)(191, 197, 199)(193, 202, 206)(194, 207, 208)(196, 204, 212)(198, 214, 217)(200, 216, 220)(201, 221, 223)(203, 218, 226)(205, 228, 229)(209, 234, 237)(210, 238, 233)(211, 240, 241)(213, 224, 243)(215, 235, 242)(219, 249, 230)(222, 232, 244)(225, 246, 236)(227, 248, 252)(231, 245, 251)(239, 247, 250)
	L = (1, 127)(2, 128)(3, 129)(4, 130)(5, 131)(6, 132)(7, 133)(8, 134)(9, 135)(10, 136)(11, 137)(12, 138)(13, 139)(14, 140)(15, 141)(16, 142)(17, 143)(18, 144)(19, 145)(20, 146)(21, 147)(22, 148)(23, 149)(24, 150)(25, 151)(26, 152)(27, 153)(28, 154)(29, 155)(30, 156)(31, 157)(32, 158)(33, 159)(34, 160)(35, 161)(36, 162)(37, 163)(38, 164)(39, 165)(40, 166)(41, 167)(42, 168)(43, 169)(44, 170)(45, 171)(46, 172)(47, 173)(48, 174)(49, 175)(50, 176)(51, 177)(52, 178)(53, 179)(54, 180)(55, 181)(56, 182)(57, 183)(58, 184)(59, 185)(60, 186)(61, 187)(62, 188)(63, 189)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)
	local type(s) :: { ( 28^3 ), ( 28^6 ) }
Outer automorphisms :: reflexible
Dual of E28.1513
Graph:: simple bipartite
	v = 63 e = 126 f = 9
	degree seq :: [ 3^42, 6^21 ]

E28.1511 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 3, 7})
Quotient :: edge^2
Aut^+ = C3 x (C7 : C3) (small group id <63, 3>)
Aut   = (C3 x (C7 : C3)) : C2 (small group id <126, 9>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3, R * Y1 * R * Y2, (R * Y3)^2, Y3^2 * Y1^-1 * Y3^-1 * Y1, Y3^2 * Y2 * Y3^-1 * Y2^-1, Y3 * Y2^-1 * Y3^-2 * Y2, Y3^2 * Y1^-1 * Y3^-1 * Y1, Y1 * Y3 * Y2^-1 * Y1^-1 * Y2, Y1^-1 * Y2^-1 * Y3^-1 * Y1 * Y2, (Y3 * Y1^-1)^3, (Y3 * Y2^-1)^3, (Y1^-1 * Y3^-1)^3, (Y2 * Y1^-1)^3, Y1 * Y3 * Y2 * Y1^-1 * Y3 * Y2^-1, Y1 * Y2 * Y1 * Y2 * Y1 * Y3^-1 * Y2, Y3^7, (Y1^-1 * Y3^-1 * Y2^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 64, 4, 67, 18, 81, 44, 107, 38, 101, 33, 96, 7, 70)(2, 65, 9, 72, 16, 79, 55, 118, 57, 120, 29, 92, 11, 74)(3, 66, 13, 76, 49, 112, 30, 93, 17, 80, 54, 117, 15, 78)(5, 68, 22, 85, 36, 99, 31, 94, 19, 82, 42, 105, 24, 87)(6, 69, 26, 89, 20, 83, 53, 116, 48, 111, 32, 95, 28, 91)(8, 71, 35, 98, 62, 125, 43, 106, 37, 100, 47, 110, 12, 75)(10, 73, 40, 103, 25, 88, 46, 109, 56, 119, 45, 108, 41, 104)(14, 77, 51, 114, 34, 97, 21, 84, 50, 113, 58, 121, 52, 115)(23, 86, 59, 122, 39, 102, 61, 124, 63, 126, 60, 123, 27, 90)(127, 128, 131)(129, 138, 140)(130, 142, 145)(132, 151, 153)(133, 155, 157)(134, 160, 143)(135, 162, 164)(136, 165, 154)(137, 168, 170)(139, 161, 176)(141, 163, 147)(144, 183, 148)(146, 167, 149)(150, 159, 181)(152, 182, 187)(156, 173, 184)(158, 171, 186)(166, 189, 179)(169, 177, 175)(172, 185, 174)(178, 180, 188)(190, 192, 195)(191, 197, 199)(193, 206, 209)(194, 210, 212)(196, 219, 221)(198, 226, 214)(200, 232, 234)(201, 235, 218)(202, 237, 207)(203, 228, 211)(204, 242, 222)(205, 224, 245)(208, 247, 248)(213, 241, 249)(215, 227, 238)(216, 220, 240)(217, 233, 243)(223, 250, 231)(225, 239, 252)(229, 246, 251)(230, 244, 236)
	L = (1, 127)(2, 128)(3, 129)(4, 130)(5, 131)(6, 132)(7, 133)(8, 134)(9, 135)(10, 136)(11, 137)(12, 138)(13, 139)(14, 140)(15, 141)(16, 142)(17, 143)(18, 144)(19, 145)(20, 146)(21, 147)(22, 148)(23, 149)(24, 150)(25, 151)(26, 152)(27, 153)(28, 154)(29, 155)(30, 156)(31, 157)(32, 158)(33, 159)(34, 160)(35, 161)(36, 162)(37, 163)(38, 164)(39, 165)(40, 166)(41, 167)(42, 168)(43, 169)(44, 170)(45, 171)(46, 172)(47, 173)(48, 174)(49, 175)(50, 176)(51, 177)(52, 178)(53, 179)(54, 180)(55, 181)(56, 182)(57, 183)(58, 184)(59, 185)(60, 186)(61, 187)(62, 188)(63, 189)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)
	local type(s) :: { ( 12^3 ), ( 12^14 ) }
Outer automorphisms :: reflexible
Dual of E28.1512
Graph:: simple bipartite
	v = 51 e = 126 f = 21
	degree seq :: [ 3^42, 14^9 ]

E28.1512 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 3, 7})
Quotient :: loop^2
Aut^+ = C3 x (C7 : C3) (small group id <63, 3>)
Aut   = (C3 x (C7 : C3)) : C2 (small group id <126, 9>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3^3, Y1^3, (Y3, Y2^-1), R * Y1 * R * Y2, (Y3^-1, Y1^-1), (R * Y3)^2, (Y2 * Y1^-1)^3, Y3 * Y2^-1 * Y1^-1 * Y3 * Y1 * Y2 * Y3, Y1 * Y2 * Y3 * Y1 * Y2 * Y1^-1 * Y2^-1, Y1 * Y2 * Y1^-1 * Y3 * Y2^-1 * Y1 * Y2, Y3^-1 * Y1^-2 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 64, 127, 190, 4, 67, 130, 193, 7, 70, 133, 196)(2, 65, 128, 191, 9, 72, 135, 198, 11, 74, 137, 200)(3, 66, 129, 192, 13, 76, 139, 202, 15, 78, 141, 204)(5, 68, 131, 194, 16, 79, 142, 205, 20, 83, 146, 209)(6, 69, 132, 195, 17, 80, 143, 206, 23, 86, 149, 212)(8, 71, 134, 197, 25, 88, 151, 214, 27, 90, 153, 216)(10, 73, 136, 199, 28, 91, 154, 217, 31, 94, 157, 220)(12, 75, 138, 201, 33, 96, 159, 222, 35, 98, 161, 224)(14, 77, 140, 203, 36, 99, 162, 225, 38, 101, 164, 227)(18, 81, 144, 207, 39, 102, 165, 228, 45, 108, 171, 234)(19, 82, 145, 208, 40, 103, 166, 229, 48, 111, 174, 237)(21, 84, 147, 210, 41, 104, 167, 230, 50, 113, 176, 239)(22, 85, 148, 211, 42, 105, 168, 231, 53, 116, 179, 242)(24, 87, 150, 213, 34, 97, 160, 223, 55, 118, 181, 244)(26, 89, 152, 215, 51, 114, 177, 240, 56, 119, 182, 245)(29, 92, 155, 218, 57, 120, 183, 246, 59, 122, 185, 248)(30, 93, 156, 219, 58, 121, 184, 247, 49, 112, 175, 238)(32, 95, 158, 221, 43, 106, 169, 232, 54, 117, 180, 243)(37, 100, 163, 226, 47, 110, 173, 236, 63, 126, 189, 252)(44, 107, 170, 233, 60, 123, 186, 249, 61, 124, 187, 250)(46, 109, 172, 235, 52, 115, 178, 241, 62, 125, 188, 251)
	L = (1, 65)(2, 68)(3, 75)(4, 72)(5, 64)(6, 84)(7, 74)(8, 87)(9, 79)(10, 92)(11, 83)(12, 77)(13, 96)(14, 66)(15, 98)(16, 67)(17, 104)(18, 106)(19, 109)(20, 70)(21, 85)(22, 69)(23, 113)(24, 89)(25, 97)(26, 71)(27, 118)(28, 120)(29, 93)(30, 73)(31, 122)(32, 124)(33, 99)(34, 114)(35, 101)(36, 76)(37, 111)(38, 78)(39, 117)(40, 115)(41, 105)(42, 80)(43, 107)(44, 81)(45, 95)(46, 110)(47, 82)(48, 125)(49, 94)(50, 116)(51, 88)(52, 126)(53, 86)(54, 123)(55, 119)(56, 90)(57, 121)(58, 91)(59, 112)(60, 102)(61, 108)(62, 100)(63, 103)(127, 192)(128, 197)(129, 195)(130, 202)(131, 207)(132, 190)(133, 204)(134, 199)(135, 214)(136, 191)(137, 216)(138, 221)(139, 206)(140, 218)(141, 212)(142, 228)(143, 193)(144, 208)(145, 194)(146, 234)(147, 238)(148, 240)(149, 196)(150, 224)(151, 217)(152, 235)(153, 220)(154, 198)(155, 226)(156, 249)(157, 200)(158, 223)(159, 232)(160, 201)(161, 243)(162, 246)(163, 203)(164, 248)(165, 229)(166, 205)(167, 219)(168, 245)(169, 244)(170, 210)(171, 237)(172, 242)(173, 225)(174, 209)(175, 233)(176, 247)(177, 241)(178, 211)(179, 215)(180, 213)(181, 222)(182, 251)(183, 236)(184, 250)(185, 252)(186, 230)(187, 239)(188, 231)(189, 227)
	local type(s) :: { ( 3, 14, 3, 14, 3, 14, 3, 14, 3, 14, 3, 14 ) }
Outer automorphisms :: reflexible
Dual of E28.1511
Transitivity :: VT+
Graph::
	v = 21 e = 126 f = 51
	degree seq :: [ 12^21 ]

E28.1513 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 3, 7})
Quotient :: loop^2
Aut^+ = C3 x (C7 : C3) (small group id <63, 3>)
Aut   = (C3 x (C7 : C3)) : C2 (small group id <126, 9>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3, R * Y1 * R * Y2, (R * Y3)^2, Y3^2 * Y1^-1 * Y3^-1 * Y1, Y3^2 * Y2 * Y3^-1 * Y2^-1, Y3 * Y2^-1 * Y3^-2 * Y2, Y3^2 * Y1^-1 * Y3^-1 * Y1, Y1 * Y3 * Y2^-1 * Y1^-1 * Y2, Y1^-1 * Y2^-1 * Y3^-1 * Y1 * Y2, (Y3 * Y1^-1)^3, (Y3 * Y2^-1)^3, (Y1^-1 * Y3^-1)^3, (Y2 * Y1^-1)^3, Y1 * Y3 * Y2 * Y1^-1 * Y3 * Y2^-1, Y1 * Y2 * Y1 * Y2 * Y1 * Y3^-1 * Y2, Y3^7, (Y1^-1 * Y3^-1 * Y2^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 64, 127, 190, 4, 67, 130, 193, 18, 81, 144, 207, 44, 107, 170, 233, 38, 101, 164, 227, 33, 96, 159, 222, 7, 70, 133, 196)(2, 65, 128, 191, 9, 72, 135, 198, 16, 79, 142, 205, 55, 118, 181, 244, 57, 120, 183, 246, 29, 92, 155, 218, 11, 74, 137, 200)(3, 66, 129, 192, 13, 76, 139, 202, 49, 112, 175, 238, 30, 93, 156, 219, 17, 80, 143, 206, 54, 117, 180, 243, 15, 78, 141, 204)(5, 68, 131, 194, 22, 85, 148, 211, 36, 99, 162, 225, 31, 94, 157, 220, 19, 82, 145, 208, 42, 105, 168, 231, 24, 87, 150, 213)(6, 69, 132, 195, 26, 89, 152, 215, 20, 83, 146, 209, 53, 116, 179, 242, 48, 111, 174, 237, 32, 95, 158, 221, 28, 91, 154, 217)(8, 71, 134, 197, 35, 98, 161, 224, 62, 125, 188, 251, 43, 106, 169, 232, 37, 100, 163, 226, 47, 110, 173, 236, 12, 75, 138, 201)(10, 73, 136, 199, 40, 103, 166, 229, 25, 88, 151, 214, 46, 109, 172, 235, 56, 119, 182, 245, 45, 108, 171, 234, 41, 104, 167, 230)(14, 77, 140, 203, 51, 114, 177, 240, 34, 97, 160, 223, 21, 84, 147, 210, 50, 113, 176, 239, 58, 121, 184, 247, 52, 115, 178, 241)(23, 86, 149, 212, 59, 122, 185, 248, 39, 102, 165, 228, 61, 124, 187, 250, 63, 126, 189, 252, 60, 123, 186, 249, 27, 90, 153, 216)
	L = (1, 65)(2, 68)(3, 75)(4, 79)(5, 64)(6, 88)(7, 92)(8, 97)(9, 99)(10, 102)(11, 105)(12, 77)(13, 98)(14, 66)(15, 100)(16, 82)(17, 71)(18, 120)(19, 67)(20, 104)(21, 78)(22, 81)(23, 83)(24, 96)(25, 90)(26, 119)(27, 69)(28, 73)(29, 94)(30, 110)(31, 70)(32, 108)(33, 118)(34, 80)(35, 113)(36, 101)(37, 84)(38, 72)(39, 91)(40, 126)(41, 86)(42, 107)(43, 114)(44, 74)(45, 123)(46, 122)(47, 121)(48, 109)(49, 106)(50, 76)(51, 112)(52, 117)(53, 103)(54, 125)(55, 87)(56, 124)(57, 85)(58, 93)(59, 111)(60, 95)(61, 89)(62, 115)(63, 116)(127, 192)(128, 197)(129, 195)(130, 206)(131, 210)(132, 190)(133, 219)(134, 199)(135, 226)(136, 191)(137, 232)(138, 235)(139, 237)(140, 228)(141, 242)(142, 224)(143, 209)(144, 202)(145, 247)(146, 193)(147, 212)(148, 203)(149, 194)(150, 241)(151, 198)(152, 227)(153, 220)(154, 233)(155, 201)(156, 221)(157, 240)(158, 196)(159, 204)(160, 250)(161, 245)(162, 239)(163, 214)(164, 238)(165, 211)(166, 246)(167, 244)(168, 223)(169, 234)(170, 243)(171, 200)(172, 218)(173, 230)(174, 207)(175, 215)(176, 252)(177, 216)(178, 249)(179, 222)(180, 217)(181, 236)(182, 205)(183, 251)(184, 248)(185, 208)(186, 213)(187, 231)(188, 229)(189, 225)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.1510
Transitivity :: VT+
Graph::
	v = 9 e = 126 f = 63
	degree seq :: [ 28^9 ]

E28.1514 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {21, 21, 21})
Quotient :: edge
Aut^+ = C21 x C3 (small group id <63, 4>)
Aut   = (C21 x C3) : C2 (small group id <126, 15>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T1^-1, T2), (F * T1)^2, T2^2 * T1^-1 * T2 * T1^-5, T1^2 * T2 * T1 * T2^8, T2^-2 * T1^-3 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 47, 59, 50, 38, 22, 36, 28, 14, 27, 43, 55, 53, 41, 25, 13, 5)(2, 7, 17, 31, 45, 57, 51, 39, 23, 11, 21, 35, 26, 42, 54, 62, 58, 46, 32, 18, 8)(4, 10, 20, 34, 48, 60, 63, 61, 49, 37, 30, 16, 6, 15, 29, 44, 56, 52, 40, 24, 12)(64, 65, 69, 77, 89, 97, 82, 94, 107, 118, 125, 126, 122, 114, 103, 88, 95, 100, 85, 74, 67)(66, 70, 78, 90, 105, 111, 96, 108, 119, 116, 121, 124, 113, 102, 87, 76, 81, 93, 99, 84, 73)(68, 71, 79, 91, 98, 83, 72, 80, 92, 106, 117, 123, 110, 120, 115, 104, 109, 112, 101, 86, 75)
	L = (1, 64)(2, 65)(3, 66)(4, 67)(5, 68)(6, 69)(7, 70)(8, 71)(9, 72)(10, 73)(11, 74)(12, 75)(13, 76)(14, 77)(15, 78)(16, 79)(17, 80)(18, 81)(19, 82)(20, 83)(21, 84)(22, 85)(23, 86)(24, 87)(25, 88)(26, 89)(27, 90)(28, 91)(29, 92)(30, 93)(31, 94)(32, 95)(33, 96)(34, 97)(35, 98)(36, 99)(37, 100)(38, 101)(39, 102)(40, 103)(41, 104)(42, 105)(43, 106)(44, 107)(45, 108)(46, 109)(47, 110)(48, 111)(49, 112)(50, 113)(51, 114)(52, 115)(53, 116)(54, 117)(55, 118)(56, 119)(57, 120)(58, 121)(59, 122)(60, 123)(61, 124)(62, 125)(63, 126)
	local type(s) :: { ( 42^21 ) }
Outer automorphisms :: reflexible
Dual of E28.1517
Transitivity :: ET+
Graph:: bipartite
	v = 6 e = 63 f = 3
	degree seq :: [ 21^6 ]

E28.1515 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {21, 21, 21})
Quotient :: edge
Aut^+ = C21 x C3 (small group id <63, 4>)
Aut   = (C21 x C3) : C2 (small group id <126, 15>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T2)^2, (F * T1)^2, T2 * T1 * T2 * T1^5 * T2, T1 * T2^-1 * T1 * T2^-8 * T1, (T1^-1 * T2^-1)^21 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 47, 55, 43, 28, 14, 27, 38, 22, 36, 50, 59, 53, 41, 25, 13, 5)(2, 7, 17, 31, 45, 57, 62, 54, 42, 26, 39, 23, 11, 21, 35, 49, 58, 46, 32, 18, 8)(4, 10, 20, 34, 48, 56, 44, 30, 16, 6, 15, 29, 37, 51, 60, 63, 61, 52, 40, 24, 12)(64, 65, 69, 77, 89, 103, 88, 95, 107, 118, 125, 126, 122, 112, 97, 82, 94, 100, 85, 74, 67)(66, 70, 78, 90, 102, 87, 76, 81, 93, 106, 117, 124, 116, 121, 111, 96, 108, 114, 99, 84, 73)(68, 71, 79, 91, 105, 115, 104, 109, 119, 110, 120, 123, 113, 98, 83, 72, 80, 92, 101, 86, 75)
	L = (1, 64)(2, 65)(3, 66)(4, 67)(5, 68)(6, 69)(7, 70)(8, 71)(9, 72)(10, 73)(11, 74)(12, 75)(13, 76)(14, 77)(15, 78)(16, 79)(17, 80)(18, 81)(19, 82)(20, 83)(21, 84)(22, 85)(23, 86)(24, 87)(25, 88)(26, 89)(27, 90)(28, 91)(29, 92)(30, 93)(31, 94)(32, 95)(33, 96)(34, 97)(35, 98)(36, 99)(37, 100)(38, 101)(39, 102)(40, 103)(41, 104)(42, 105)(43, 106)(44, 107)(45, 108)(46, 109)(47, 110)(48, 111)(49, 112)(50, 113)(51, 114)(52, 115)(53, 116)(54, 117)(55, 118)(56, 119)(57, 120)(58, 121)(59, 122)(60, 123)(61, 124)(62, 125)(63, 126)
	local type(s) :: { ( 42^21 ) }
Outer automorphisms :: reflexible
Dual of E28.1516
Transitivity :: ET+
Graph:: bipartite
	v = 6 e = 63 f = 3
	degree seq :: [ 21^6 ]

E28.1516 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {21, 21, 21})
Quotient :: loop
Aut^+ = C21 x C3 (small group id <63, 4>)
Aut   = (C21 x C3) : C2 (small group id <126, 15>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2^-1, T1), (F * T1)^2, T2^3 * T1^-3, T1^21, T2^21 ]
Map:: non-degenerate
	R = (1, 64, 3, 66, 9, 72, 14, 77, 23, 86, 30, 93, 34, 97, 41, 104, 48, 111, 52, 115, 59, 122, 62, 125, 55, 118, 51, 114, 44, 107, 37, 100, 33, 96, 26, 89, 19, 82, 13, 76, 5, 68)(2, 65, 7, 70, 17, 80, 22, 85, 29, 92, 36, 99, 40, 103, 47, 110, 54, 117, 58, 121, 63, 126, 56, 119, 49, 112, 45, 108, 38, 101, 31, 94, 27, 90, 20, 83, 11, 74, 18, 81, 8, 71)(4, 67, 10, 73, 16, 79, 6, 69, 15, 78, 24, 87, 28, 91, 35, 98, 42, 105, 46, 109, 53, 116, 60, 123, 61, 124, 57, 120, 50, 113, 43, 106, 39, 102, 32, 95, 25, 88, 21, 84, 12, 75)
	L = (1, 65)(2, 69)(3, 70)(4, 64)(5, 71)(6, 77)(7, 78)(8, 79)(9, 80)(10, 66)(11, 67)(12, 68)(13, 81)(14, 85)(15, 86)(16, 72)(17, 87)(18, 73)(19, 74)(20, 75)(21, 76)(22, 91)(23, 92)(24, 93)(25, 82)(26, 83)(27, 84)(28, 97)(29, 98)(30, 99)(31, 88)(32, 89)(33, 90)(34, 103)(35, 104)(36, 105)(37, 94)(38, 95)(39, 96)(40, 109)(41, 110)(42, 111)(43, 100)(44, 101)(45, 102)(46, 115)(47, 116)(48, 117)(49, 106)(50, 107)(51, 108)(52, 121)(53, 122)(54, 123)(55, 112)(56, 113)(57, 114)(58, 124)(59, 126)(60, 125)(61, 118)(62, 119)(63, 120)
	local type(s) :: { ( 21^42 ) }
Outer automorphisms :: reflexible
Dual of E28.1515
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 63 f = 6
	degree seq :: [ 42^3 ]

E28.1517 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {21, 21, 21})
Quotient :: loop
Aut^+ = C21 x C3 (small group id <63, 4>)
Aut   = (C21 x C3) : C2 (small group id <126, 15>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T1^-1, T2), (F * T1)^2, T2^2 * T1^-1 * T2 * T1^-5, T1^2 * T2 * T1 * T2^8, T2^-2 * T1^-3 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 64, 3, 66, 9, 72, 19, 82, 33, 96, 47, 110, 59, 122, 50, 113, 38, 101, 22, 85, 36, 99, 28, 91, 14, 77, 27, 90, 43, 106, 55, 118, 53, 116, 41, 104, 25, 88, 13, 76, 5, 68)(2, 65, 7, 70, 17, 80, 31, 94, 45, 108, 57, 120, 51, 114, 39, 102, 23, 86, 11, 74, 21, 84, 35, 98, 26, 89, 42, 105, 54, 117, 62, 125, 58, 121, 46, 109, 32, 95, 18, 81, 8, 71)(4, 67, 10, 73, 20, 83, 34, 97, 48, 111, 60, 123, 63, 126, 61, 124, 49, 112, 37, 100, 30, 93, 16, 79, 6, 69, 15, 78, 29, 92, 44, 107, 56, 119, 52, 115, 40, 103, 24, 87, 12, 75)
	L = (1, 65)(2, 69)(3, 70)(4, 64)(5, 71)(6, 77)(7, 78)(8, 79)(9, 80)(10, 66)(11, 67)(12, 68)(13, 81)(14, 89)(15, 90)(16, 91)(17, 92)(18, 93)(19, 94)(20, 72)(21, 73)(22, 74)(23, 75)(24, 76)(25, 95)(26, 97)(27, 105)(28, 98)(29, 106)(30, 99)(31, 107)(32, 100)(33, 108)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 109)(42, 111)(43, 117)(44, 118)(45, 119)(46, 112)(47, 120)(48, 96)(49, 101)(50, 102)(51, 103)(52, 104)(53, 121)(54, 123)(55, 125)(56, 116)(57, 115)(58, 124)(59, 114)(60, 110)(61, 113)(62, 126)(63, 122)
	local type(s) :: { ( 21^42 ) }
Outer automorphisms :: reflexible
Dual of E28.1514
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 63 f = 6
	degree seq :: [ 42^3 ]

E28.1518 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {21, 21, 21})
Quotient :: dipole
Aut^+ = C21 x C3 (small group id <63, 4>)
Aut   = (C21 x C3) : C2 (small group id <126, 15>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y2 * Y3 * Y2^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2^-1, Y3^-1), Y1^2 * Y2^2 * Y1^-2 * Y2^-2, Y1 * Y2^3 * Y1 * Y2^2 * Y3^-1 * Y2, Y1 * Y2^6 * Y1^2, Y2^2 * Y3 * Y2^4 * Y3^-4, Y2 * Y1^-4 * Y3^3 * Y2 * Y3 * Y2 * Y1^-1, (Y2^-1 * Y3)^21 ]
Map::
	R = (1, 64, 2, 65, 6, 69, 14, 77, 26, 89, 42, 105, 54, 117, 49, 112, 34, 97, 19, 82, 31, 94, 40, 103, 25, 88, 32, 95, 46, 109, 58, 121, 52, 115, 37, 100, 22, 85, 11, 74, 4, 67)(3, 66, 7, 70, 15, 78, 27, 90, 43, 106, 55, 118, 62, 125, 60, 123, 48, 111, 33, 96, 39, 102, 24, 87, 13, 76, 18, 81, 30, 93, 45, 108, 57, 120, 51, 114, 36, 99, 21, 84, 10, 73)(5, 68, 8, 71, 16, 79, 28, 91, 44, 107, 56, 119, 50, 113, 35, 98, 20, 83, 9, 72, 17, 80, 29, 92, 41, 104, 47, 110, 59, 122, 63, 126, 61, 124, 53, 116, 38, 101, 23, 86, 12, 75)(127, 190, 129, 192, 135, 198, 145, 208, 159, 222, 164, 227, 148, 211, 162, 225, 176, 239, 180, 243, 188, 251, 189, 252, 184, 247, 171, 234, 154, 217, 140, 203, 153, 216, 167, 230, 151, 214, 139, 202, 131, 194)(128, 191, 133, 196, 143, 206, 157, 220, 165, 228, 149, 212, 137, 200, 147, 210, 161, 224, 175, 238, 186, 249, 187, 250, 178, 241, 183, 246, 170, 233, 152, 215, 169, 232, 173, 236, 158, 221, 144, 207, 134, 197)(130, 193, 136, 199, 146, 209, 160, 223, 174, 237, 179, 242, 163, 226, 177, 240, 182, 245, 168, 231, 181, 244, 185, 248, 172, 235, 156, 219, 142, 205, 132, 195, 141, 204, 155, 218, 166, 229, 150, 213, 138, 201)
	L = (1, 130)(2, 127)(3, 136)(4, 137)(5, 138)(6, 128)(7, 129)(8, 131)(9, 146)(10, 147)(11, 148)(12, 149)(13, 150)(14, 132)(15, 133)(16, 134)(17, 135)(18, 139)(19, 160)(20, 161)(21, 162)(22, 163)(23, 164)(24, 165)(25, 166)(26, 140)(27, 141)(28, 142)(29, 143)(30, 144)(31, 145)(32, 151)(33, 174)(34, 175)(35, 176)(36, 177)(37, 178)(38, 179)(39, 159)(40, 157)(41, 155)(42, 152)(43, 153)(44, 154)(45, 156)(46, 158)(47, 167)(48, 186)(49, 180)(50, 182)(51, 183)(52, 184)(53, 187)(54, 168)(55, 169)(56, 170)(57, 171)(58, 172)(59, 173)(60, 188)(61, 189)(62, 181)(63, 185)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)
	local type(s) :: { ( 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42 ) }
Outer automorphisms :: reflexible
Dual of E28.1520
Graph:: bipartite
	v = 6 e = 126 f = 66
	degree seq :: [ 42^6 ]

E28.1519 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {21, 21, 21})
Quotient :: dipole
Aut^+ = C21 x C3 (small group id <63, 4>)
Aut   = (C21 x C3) : C2 (small group id <126, 15>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y1)^2, (Y3^-1, Y2^-1), (R * Y3)^2, (Y2, Y1^-1), (R * Y2)^2, Y1 * Y2^2 * Y1^-1 * Y2^-2, Y3 * Y2 * Y3 * Y2^5 * Y3, Y1 * Y2^-1 * Y1 * Y2^-2 * Y3^-1 * Y2^-3, Y2 * Y3^-1 * Y2 * Y1^6 * Y3^-2 * Y2, Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^3 * Y1^-2, Y3^-3 * Y2^-1 * Y3 * Y2^-2 * Y3^2 * Y2^-1 * Y3 * Y2^-2 * Y1^4, Y2^-1 * Y1^2 * Y3^-4 * Y1^2 * Y3^-4 * Y1^2 * Y3^-4 * Y1^2 * Y3^-4 * Y1^2 * Y3^-4 * Y1^2 * Y3^-1 * Y2^-2 ]
Map::
	R = (1, 64, 2, 65, 6, 69, 14, 77, 26, 89, 42, 105, 54, 117, 52, 115, 40, 103, 25, 88, 32, 95, 34, 97, 19, 82, 31, 94, 46, 109, 58, 121, 49, 112, 37, 100, 22, 85, 11, 74, 4, 67)(3, 66, 7, 70, 15, 78, 27, 90, 43, 106, 55, 118, 51, 114, 39, 102, 24, 87, 13, 76, 18, 81, 30, 93, 33, 96, 47, 110, 59, 122, 63, 126, 60, 123, 48, 111, 36, 99, 21, 84, 10, 73)(5, 68, 8, 71, 16, 79, 28, 91, 44, 107, 56, 119, 62, 125, 61, 124, 53, 116, 41, 104, 35, 98, 20, 83, 9, 72, 17, 80, 29, 92, 45, 108, 57, 120, 50, 113, 38, 101, 23, 86, 12, 75)(127, 190, 129, 192, 135, 198, 145, 208, 159, 222, 154, 217, 140, 203, 153, 216, 171, 234, 184, 247, 189, 252, 188, 251, 180, 243, 177, 240, 164, 227, 148, 211, 162, 225, 167, 230, 151, 214, 139, 202, 131, 194)(128, 191, 133, 196, 143, 206, 157, 220, 173, 236, 170, 233, 152, 215, 169, 232, 183, 246, 175, 238, 186, 249, 187, 250, 178, 241, 165, 228, 149, 212, 137, 200, 147, 210, 161, 224, 158, 221, 144, 207, 134, 197)(130, 193, 136, 199, 146, 209, 160, 223, 156, 219, 142, 205, 132, 195, 141, 204, 155, 218, 172, 235, 185, 248, 182, 245, 168, 231, 181, 244, 176, 239, 163, 226, 174, 237, 179, 242, 166, 229, 150, 213, 138, 201)
	L = (1, 130)(2, 127)(3, 136)(4, 137)(5, 138)(6, 128)(7, 129)(8, 131)(9, 146)(10, 147)(11, 148)(12, 149)(13, 150)(14, 132)(15, 133)(16, 134)(17, 135)(18, 139)(19, 160)(20, 161)(21, 162)(22, 163)(23, 164)(24, 165)(25, 166)(26, 140)(27, 141)(28, 142)(29, 143)(30, 144)(31, 145)(32, 151)(33, 156)(34, 158)(35, 167)(36, 174)(37, 175)(38, 176)(39, 177)(40, 178)(41, 179)(42, 152)(43, 153)(44, 154)(45, 155)(46, 157)(47, 159)(48, 186)(49, 184)(50, 183)(51, 181)(52, 180)(53, 187)(54, 168)(55, 169)(56, 170)(57, 171)(58, 172)(59, 173)(60, 189)(61, 188)(62, 182)(63, 185)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)
	local type(s) :: { ( 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42 ) }
Outer automorphisms :: reflexible
Dual of E28.1521
Graph:: bipartite
	v = 6 e = 126 f = 66
	degree seq :: [ 42^6 ]

E28.1520 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {21, 21, 21})
Quotient :: dipole
Aut^+ = C21 x C3 (small group id <63, 4>)
Aut   = (C21 x C3) : C2 (small group id <126, 15>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y3, Y2), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3^-3 * Y2^-3, Y3^21, Y2^21, (Y3^-1 * Y1^-1)^21 ]
Map::
	R = (1, 64)(2, 65)(3, 66)(4, 67)(5, 68)(6, 69)(7, 70)(8, 71)(9, 72)(10, 73)(11, 74)(12, 75)(13, 76)(14, 77)(15, 78)(16, 79)(17, 80)(18, 81)(19, 82)(20, 83)(21, 84)(22, 85)(23, 86)(24, 87)(25, 88)(26, 89)(27, 90)(28, 91)(29, 92)(30, 93)(31, 94)(32, 95)(33, 96)(34, 97)(35, 98)(36, 99)(37, 100)(38, 101)(39, 102)(40, 103)(41, 104)(42, 105)(43, 106)(44, 107)(45, 108)(46, 109)(47, 110)(48, 111)(49, 112)(50, 113)(51, 114)(52, 115)(53, 116)(54, 117)(55, 118)(56, 119)(57, 120)(58, 121)(59, 122)(60, 123)(61, 124)(62, 125)(63, 126)(127, 190, 128, 191, 132, 195, 140, 203, 148, 211, 154, 217, 160, 223, 166, 229, 172, 235, 178, 241, 184, 247, 188, 251, 181, 244, 177, 240, 170, 233, 163, 226, 159, 222, 152, 215, 145, 208, 137, 200, 130, 193)(129, 192, 133, 196, 141, 204, 139, 202, 144, 207, 150, 213, 156, 219, 162, 225, 168, 231, 174, 237, 180, 243, 186, 249, 187, 250, 183, 246, 176, 239, 169, 232, 165, 228, 158, 221, 151, 214, 147, 210, 136, 199)(131, 194, 134, 197, 142, 205, 149, 212, 155, 218, 161, 224, 167, 230, 173, 236, 179, 242, 185, 248, 189, 252, 182, 245, 175, 238, 171, 234, 164, 227, 157, 220, 153, 216, 146, 209, 135, 198, 143, 206, 138, 201)
	L = (1, 129)(2, 133)(3, 135)(4, 136)(5, 127)(6, 141)(7, 143)(8, 128)(9, 145)(10, 146)(11, 147)(12, 130)(13, 131)(14, 139)(15, 138)(16, 132)(17, 137)(18, 134)(19, 151)(20, 152)(21, 153)(22, 144)(23, 140)(24, 142)(25, 157)(26, 158)(27, 159)(28, 150)(29, 148)(30, 149)(31, 163)(32, 164)(33, 165)(34, 156)(35, 154)(36, 155)(37, 169)(38, 170)(39, 171)(40, 162)(41, 160)(42, 161)(43, 175)(44, 176)(45, 177)(46, 168)(47, 166)(48, 167)(49, 181)(50, 182)(51, 183)(52, 174)(53, 172)(54, 173)(55, 187)(56, 188)(57, 189)(58, 180)(59, 178)(60, 179)(61, 185)(62, 186)(63, 184)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)
	local type(s) :: { ( 42, 42 ), ( 42^42 ) }
Outer automorphisms :: reflexible
Dual of E28.1518
Graph:: simple bipartite
	v = 66 e = 126 f = 6
	degree seq :: [ 2^63, 42^3 ]

E28.1521 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {21, 21, 21})
Quotient :: dipole
Aut^+ = C21 x C3 (small group id <63, 4>)
Aut   = (C21 x C3) : C2 (small group id <126, 15>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y2^-1), Y2^4 * Y3 * Y2 * Y3^2 * Y2, Y2 * Y3^-1 * Y2 * Y3^-8 * Y2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-2 * Y3^-3 * Y2^-1, (Y3^-1 * Y1^-1)^21 ]
Map::
	R = (1, 64)(2, 65)(3, 66)(4, 67)(5, 68)(6, 69)(7, 70)(8, 71)(9, 72)(10, 73)(11, 74)(12, 75)(13, 76)(14, 77)(15, 78)(16, 79)(17, 80)(18, 81)(19, 82)(20, 83)(21, 84)(22, 85)(23, 86)(24, 87)(25, 88)(26, 89)(27, 90)(28, 91)(29, 92)(30, 93)(31, 94)(32, 95)(33, 96)(34, 97)(35, 98)(36, 99)(37, 100)(38, 101)(39, 102)(40, 103)(41, 104)(42, 105)(43, 106)(44, 107)(45, 108)(46, 109)(47, 110)(48, 111)(49, 112)(50, 113)(51, 114)(52, 115)(53, 116)(54, 117)(55, 118)(56, 119)(57, 120)(58, 121)(59, 122)(60, 123)(61, 124)(62, 125)(63, 126)(127, 190, 128, 191, 132, 195, 140, 203, 152, 215, 166, 229, 151, 214, 158, 221, 170, 233, 181, 244, 188, 251, 189, 252, 185, 248, 175, 238, 160, 223, 145, 208, 157, 220, 163, 226, 148, 211, 137, 200, 130, 193)(129, 192, 133, 196, 141, 204, 153, 216, 165, 228, 150, 213, 139, 202, 144, 207, 156, 219, 169, 232, 180, 243, 187, 250, 179, 242, 184, 247, 174, 237, 159, 222, 171, 234, 177, 240, 162, 225, 147, 210, 136, 199)(131, 194, 134, 197, 142, 205, 154, 217, 168, 231, 178, 241, 167, 230, 172, 235, 182, 245, 173, 236, 183, 246, 186, 249, 176, 239, 161, 224, 146, 209, 135, 198, 143, 206, 155, 218, 164, 227, 149, 212, 138, 201)
	L = (1, 129)(2, 133)(3, 135)(4, 136)(5, 127)(6, 141)(7, 143)(8, 128)(9, 145)(10, 146)(11, 147)(12, 130)(13, 131)(14, 153)(15, 155)(16, 132)(17, 157)(18, 134)(19, 159)(20, 160)(21, 161)(22, 162)(23, 137)(24, 138)(25, 139)(26, 165)(27, 164)(28, 140)(29, 163)(30, 142)(31, 171)(32, 144)(33, 173)(34, 174)(35, 175)(36, 176)(37, 177)(38, 148)(39, 149)(40, 150)(41, 151)(42, 152)(43, 154)(44, 156)(45, 183)(46, 158)(47, 181)(48, 182)(49, 184)(50, 185)(51, 186)(52, 166)(53, 167)(54, 168)(55, 169)(56, 170)(57, 188)(58, 172)(59, 179)(60, 189)(61, 178)(62, 180)(63, 187)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)
	local type(s) :: { ( 42, 42 ), ( 42^42 ) }
Outer automorphisms :: reflexible
Dual of E28.1519
Graph:: simple bipartite
	v = 66 e = 126 f = 6
	degree seq :: [ 2^63, 42^3 ]

E28.1522 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {9, 63, 63})
Quotient :: edge
Aut^+ = C63 (small group id <63, 2>)
Aut   = D126 (small group id <126, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^2 * T2^7, T1^9, T2^2 * T1^-1 * T2 * T1^-2 * T2 * T1^-1 * T2^2 * T1^-1 * T2 * T1^-2, T1^-3 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-1 * T1^-1, (T1^-1 * T2^-1)^63 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 39, 23, 11, 21, 35, 49, 58, 61, 52, 37, 51, 60, 63, 56, 45, 28, 14, 27, 44, 47, 32, 18, 8, 2, 7, 17, 31, 40, 24, 12, 4, 10, 20, 34, 48, 53, 38, 22, 36, 50, 59, 62, 55, 43, 26, 42, 54, 57, 46, 30, 16, 6, 15, 29, 41, 25, 13, 5)(64, 65, 69, 77, 89, 100, 85, 74, 67)(66, 70, 78, 90, 105, 114, 99, 84, 73)(68, 71, 79, 91, 106, 115, 101, 86, 75)(72, 80, 92, 107, 117, 123, 113, 98, 83)(76, 81, 93, 108, 118, 124, 116, 102, 87)(82, 94, 104, 110, 120, 126, 122, 112, 97)(88, 95, 109, 119, 125, 121, 111, 96, 103)
	L = (1, 64)(2, 65)(3, 66)(4, 67)(5, 68)(6, 69)(7, 70)(8, 71)(9, 72)(10, 73)(11, 74)(12, 75)(13, 76)(14, 77)(15, 78)(16, 79)(17, 80)(18, 81)(19, 82)(20, 83)(21, 84)(22, 85)(23, 86)(24, 87)(25, 88)(26, 89)(27, 90)(28, 91)(29, 92)(30, 93)(31, 94)(32, 95)(33, 96)(34, 97)(35, 98)(36, 99)(37, 100)(38, 101)(39, 102)(40, 103)(41, 104)(42, 105)(43, 106)(44, 107)(45, 108)(46, 109)(47, 110)(48, 111)(49, 112)(50, 113)(51, 114)(52, 115)(53, 116)(54, 117)(55, 118)(56, 119)(57, 120)(58, 121)(59, 122)(60, 123)(61, 124)(62, 125)(63, 126)
	local type(s) :: { ( 126^9 ), ( 126^63 ) }
Outer automorphisms :: reflexible
Dual of E28.1527
Transitivity :: ET+
Graph:: bipartite
	v = 8 e = 63 f = 1
	degree seq :: [ 9^7, 63 ]

E28.1523 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {9, 63, 63})
Quotient :: edge
Aut^+ = C63 (small group id <63, 2>)
Aut   = D126 (small group id <126, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T1^-1, T2), (F * T1)^2, T1^9, T1^9, T1^4 * T2^-7, (T1^-1 * T2^-1)^63 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 50, 43, 26, 42, 60, 58, 40, 24, 12, 4, 10, 20, 34, 51, 45, 28, 14, 27, 44, 61, 57, 39, 23, 11, 21, 35, 52, 47, 30, 16, 6, 15, 29, 46, 62, 56, 38, 22, 36, 53, 49, 32, 18, 8, 2, 7, 17, 31, 48, 63, 55, 37, 54, 59, 41, 25, 13, 5)(64, 65, 69, 77, 89, 100, 85, 74, 67)(66, 70, 78, 90, 105, 117, 99, 84, 73)(68, 71, 79, 91, 106, 118, 101, 86, 75)(72, 80, 92, 107, 123, 122, 116, 98, 83)(76, 81, 93, 108, 113, 126, 119, 102, 87)(82, 94, 109, 124, 121, 104, 112, 115, 97)(88, 95, 110, 114, 96, 111, 125, 120, 103)
	L = (1, 64)(2, 65)(3, 66)(4, 67)(5, 68)(6, 69)(7, 70)(8, 71)(9, 72)(10, 73)(11, 74)(12, 75)(13, 76)(14, 77)(15, 78)(16, 79)(17, 80)(18, 81)(19, 82)(20, 83)(21, 84)(22, 85)(23, 86)(24, 87)(25, 88)(26, 89)(27, 90)(28, 91)(29, 92)(30, 93)(31, 94)(32, 95)(33, 96)(34, 97)(35, 98)(36, 99)(37, 100)(38, 101)(39, 102)(40, 103)(41, 104)(42, 105)(43, 106)(44, 107)(45, 108)(46, 109)(47, 110)(48, 111)(49, 112)(50, 113)(51, 114)(52, 115)(53, 116)(54, 117)(55, 118)(56, 119)(57, 120)(58, 121)(59, 122)(60, 123)(61, 124)(62, 125)(63, 126)
	local type(s) :: { ( 126^9 ), ( 126^63 ) }
Outer automorphisms :: reflexible
Dual of E28.1526
Transitivity :: ET+
Graph:: bipartite
	v = 8 e = 63 f = 1
	degree seq :: [ 9^7, 63 ]

E28.1524 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {9, 63, 63})
Quotient :: edge
Aut^+ = C63 (small group id <63, 2>)
Aut   = D126 (small group id <126, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-1 * T2^7, T1^9, (T1^-1 * T2^-1)^63 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 32, 18, 8, 2, 7, 17, 31, 45, 30, 16, 6, 15, 29, 44, 55, 43, 28, 14, 27, 42, 54, 61, 53, 41, 26, 40, 52, 60, 63, 58, 49, 36, 48, 57, 62, 59, 50, 37, 22, 35, 47, 56, 51, 38, 23, 11, 21, 34, 46, 39, 24, 12, 4, 10, 20, 33, 25, 13, 5)(64, 65, 69, 77, 89, 99, 85, 74, 67)(66, 70, 78, 90, 103, 111, 98, 84, 73)(68, 71, 79, 91, 104, 112, 100, 86, 75)(72, 80, 92, 105, 115, 120, 110, 97, 83)(76, 81, 93, 106, 116, 121, 113, 101, 87)(82, 94, 107, 117, 123, 125, 119, 109, 96)(88, 95, 108, 118, 124, 126, 122, 114, 102)
	L = (1, 64)(2, 65)(3, 66)(4, 67)(5, 68)(6, 69)(7, 70)(8, 71)(9, 72)(10, 73)(11, 74)(12, 75)(13, 76)(14, 77)(15, 78)(16, 79)(17, 80)(18, 81)(19, 82)(20, 83)(21, 84)(22, 85)(23, 86)(24, 87)(25, 88)(26, 89)(27, 90)(28, 91)(29, 92)(30, 93)(31, 94)(32, 95)(33, 96)(34, 97)(35, 98)(36, 99)(37, 100)(38, 101)(39, 102)(40, 103)(41, 104)(42, 105)(43, 106)(44, 107)(45, 108)(46, 109)(47, 110)(48, 111)(49, 112)(50, 113)(51, 114)(52, 115)(53, 116)(54, 117)(55, 118)(56, 119)(57, 120)(58, 121)(59, 122)(60, 123)(61, 124)(62, 125)(63, 126)
	local type(s) :: { ( 126^9 ), ( 126^63 ) }
Outer automorphisms :: reflexible
Dual of E28.1528
Transitivity :: ET+
Graph:: bipartite
	v = 8 e = 63 f = 1
	degree seq :: [ 9^7, 63 ]

E28.1525 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {9, 63, 63})
Quotient :: edge
Aut^+ = C63 (small group id <63, 2>)
Aut   = D126 (small group id <126, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^4 * T1^-1 * T2 * T1^-1, T1^-4 * T2 * T1^-9, (T1^-1 * T2^-1)^9 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 16, 6, 15, 29, 40, 38, 26, 37, 49, 60, 58, 46, 57, 62, 53, 42, 51, 55, 44, 33, 22, 31, 35, 24, 12, 4, 10, 20, 18, 8, 2, 7, 17, 30, 28, 14, 27, 39, 50, 48, 36, 47, 59, 61, 52, 56, 63, 54, 43, 32, 41, 45, 34, 23, 11, 21, 25, 13, 5)(64, 65, 69, 77, 89, 99, 109, 119, 114, 104, 94, 84, 73, 66, 70, 78, 90, 100, 110, 120, 126, 118, 108, 98, 88, 83, 72, 80, 92, 102, 112, 122, 125, 117, 107, 97, 87, 76, 81, 82, 93, 103, 113, 123, 124, 116, 106, 96, 86, 75, 68, 71, 79, 91, 101, 111, 121, 115, 105, 95, 85, 74, 67)
	L = (1, 64)(2, 65)(3, 66)(4, 67)(5, 68)(6, 69)(7, 70)(8, 71)(9, 72)(10, 73)(11, 74)(12, 75)(13, 76)(14, 77)(15, 78)(16, 79)(17, 80)(18, 81)(19, 82)(20, 83)(21, 84)(22, 85)(23, 86)(24, 87)(25, 88)(26, 89)(27, 90)(28, 91)(29, 92)(30, 93)(31, 94)(32, 95)(33, 96)(34, 97)(35, 98)(36, 99)(37, 100)(38, 101)(39, 102)(40, 103)(41, 104)(42, 105)(43, 106)(44, 107)(45, 108)(46, 109)(47, 110)(48, 111)(49, 112)(50, 113)(51, 114)(52, 115)(53, 116)(54, 117)(55, 118)(56, 119)(57, 120)(58, 121)(59, 122)(60, 123)(61, 124)(62, 125)(63, 126)
	local type(s) :: { ( 18^63 ) }
Outer automorphisms :: reflexible
Dual of E28.1529
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 63 f = 7
	degree seq :: [ 63^2 ]

E28.1526 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {9, 63, 63})
Quotient :: loop
Aut^+ = C63 (small group id <63, 2>)
Aut   = D126 (small group id <126, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^2 * T2^7, T1^9, T2^2 * T1^-1 * T2 * T1^-2 * T2 * T1^-1 * T2^2 * T1^-1 * T2 * T1^-2, T1^-3 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-1 * T1^-1, (T1^-1 * T2^-1)^63 ]
Map:: non-degenerate
	R = (1, 64, 3, 66, 9, 72, 19, 82, 33, 96, 39, 102, 23, 86, 11, 74, 21, 84, 35, 98, 49, 112, 58, 121, 61, 124, 52, 115, 37, 100, 51, 114, 60, 123, 63, 126, 56, 119, 45, 108, 28, 91, 14, 77, 27, 90, 44, 107, 47, 110, 32, 95, 18, 81, 8, 71, 2, 65, 7, 70, 17, 80, 31, 94, 40, 103, 24, 87, 12, 75, 4, 67, 10, 73, 20, 83, 34, 97, 48, 111, 53, 116, 38, 101, 22, 85, 36, 99, 50, 113, 59, 122, 62, 125, 55, 118, 43, 106, 26, 89, 42, 105, 54, 117, 57, 120, 46, 109, 30, 93, 16, 79, 6, 69, 15, 78, 29, 92, 41, 104, 25, 88, 13, 76, 5, 68)
	L = (1, 65)(2, 69)(3, 70)(4, 64)(5, 71)(6, 77)(7, 78)(8, 79)(9, 80)(10, 66)(11, 67)(12, 68)(13, 81)(14, 89)(15, 90)(16, 91)(17, 92)(18, 93)(19, 94)(20, 72)(21, 73)(22, 74)(23, 75)(24, 76)(25, 95)(26, 100)(27, 105)(28, 106)(29, 107)(30, 108)(31, 104)(32, 109)(33, 103)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 110)(42, 114)(43, 115)(44, 117)(45, 118)(46, 119)(47, 120)(48, 96)(49, 97)(50, 98)(51, 99)(52, 101)(53, 102)(54, 123)(55, 124)(56, 125)(57, 126)(58, 111)(59, 112)(60, 113)(61, 116)(62, 121)(63, 122)
	local type(s) :: { ( 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63 ) }
Outer automorphisms :: reflexible
Dual of E28.1523
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 63 f = 8
	degree seq :: [ 126 ]

E28.1527 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {9, 63, 63})
Quotient :: loop
Aut^+ = C63 (small group id <63, 2>)
Aut   = D126 (small group id <126, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T1^-1, T2), (F * T1)^2, T1^9, T1^9, T1^4 * T2^-7, (T1^-1 * T2^-1)^63 ]
Map:: non-degenerate
	R = (1, 64, 3, 66, 9, 72, 19, 82, 33, 96, 50, 113, 43, 106, 26, 89, 42, 105, 60, 123, 58, 121, 40, 103, 24, 87, 12, 75, 4, 67, 10, 73, 20, 83, 34, 97, 51, 114, 45, 108, 28, 91, 14, 77, 27, 90, 44, 107, 61, 124, 57, 120, 39, 102, 23, 86, 11, 74, 21, 84, 35, 98, 52, 115, 47, 110, 30, 93, 16, 79, 6, 69, 15, 78, 29, 92, 46, 109, 62, 125, 56, 119, 38, 101, 22, 85, 36, 99, 53, 116, 49, 112, 32, 95, 18, 81, 8, 71, 2, 65, 7, 70, 17, 80, 31, 94, 48, 111, 63, 126, 55, 118, 37, 100, 54, 117, 59, 122, 41, 104, 25, 88, 13, 76, 5, 68)
	L = (1, 65)(2, 69)(3, 70)(4, 64)(5, 71)(6, 77)(7, 78)(8, 79)(9, 80)(10, 66)(11, 67)(12, 68)(13, 81)(14, 89)(15, 90)(16, 91)(17, 92)(18, 93)(19, 94)(20, 72)(21, 73)(22, 74)(23, 75)(24, 76)(25, 95)(26, 100)(27, 105)(28, 106)(29, 107)(30, 108)(31, 109)(32, 110)(33, 111)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 112)(42, 117)(43, 118)(44, 123)(45, 113)(46, 124)(47, 114)(48, 125)(49, 115)(50, 126)(51, 96)(52, 97)(53, 98)(54, 99)(55, 101)(56, 102)(57, 103)(58, 104)(59, 116)(60, 122)(61, 121)(62, 120)(63, 119)
	local type(s) :: { ( 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63 ) }
Outer automorphisms :: reflexible
Dual of E28.1522
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 63 f = 8
	degree seq :: [ 126 ]

E28.1528 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {9, 63, 63})
Quotient :: loop
Aut^+ = C63 (small group id <63, 2>)
Aut   = D126 (small group id <126, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-1 * T2^7, T1^9, (T1^-1 * T2^-1)^63 ]
Map:: non-degenerate
	R = (1, 64, 3, 66, 9, 72, 19, 82, 32, 95, 18, 81, 8, 71, 2, 65, 7, 70, 17, 80, 31, 94, 45, 108, 30, 93, 16, 79, 6, 69, 15, 78, 29, 92, 44, 107, 55, 118, 43, 106, 28, 91, 14, 77, 27, 90, 42, 105, 54, 117, 61, 124, 53, 116, 41, 104, 26, 89, 40, 103, 52, 115, 60, 123, 63, 126, 58, 121, 49, 112, 36, 99, 48, 111, 57, 120, 62, 125, 59, 122, 50, 113, 37, 100, 22, 85, 35, 98, 47, 110, 56, 119, 51, 114, 38, 101, 23, 86, 11, 74, 21, 84, 34, 97, 46, 109, 39, 102, 24, 87, 12, 75, 4, 67, 10, 73, 20, 83, 33, 96, 25, 88, 13, 76, 5, 68)
	L = (1, 65)(2, 69)(3, 70)(4, 64)(5, 71)(6, 77)(7, 78)(8, 79)(9, 80)(10, 66)(11, 67)(12, 68)(13, 81)(14, 89)(15, 90)(16, 91)(17, 92)(18, 93)(19, 94)(20, 72)(21, 73)(22, 74)(23, 75)(24, 76)(25, 95)(26, 99)(27, 103)(28, 104)(29, 105)(30, 106)(31, 107)(32, 108)(33, 82)(34, 83)(35, 84)(36, 85)(37, 86)(38, 87)(39, 88)(40, 111)(41, 112)(42, 115)(43, 116)(44, 117)(45, 118)(46, 96)(47, 97)(48, 98)(49, 100)(50, 101)(51, 102)(52, 120)(53, 121)(54, 123)(55, 124)(56, 109)(57, 110)(58, 113)(59, 114)(60, 125)(61, 126)(62, 119)(63, 122)
	local type(s) :: { ( 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63, 9, 63 ) }
Outer automorphisms :: reflexible
Dual of E28.1524
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 63 f = 8
	degree seq :: [ 126 ]

E28.1529 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {9, 63, 63})
Quotient :: loop
Aut^+ = C63 (small group id <63, 2>)
Aut   = D126 (small group id <126, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T2^2 * T1^7, T2^9, T2^3 * T1^-1 * T2 * T1^-2 * T2^3 * T1^-4, T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-2 * T1^2 * T2^-1 ]
Map:: non-degenerate
	R = (1, 64, 3, 66, 9, 72, 19, 82, 33, 96, 41, 104, 25, 88, 13, 76, 5, 68)(2, 65, 7, 70, 17, 80, 31, 94, 46, 109, 47, 110, 32, 95, 18, 81, 8, 71)(4, 67, 10, 73, 20, 83, 34, 97, 48, 111, 53, 116, 40, 103, 24, 87, 12, 75)(6, 69, 15, 78, 29, 92, 44, 107, 56, 119, 57, 120, 45, 108, 30, 93, 16, 79)(11, 74, 21, 84, 35, 98, 49, 112, 58, 121, 61, 124, 52, 115, 39, 102, 23, 86)(14, 77, 27, 90, 37, 100, 51, 114, 60, 123, 63, 126, 55, 118, 43, 106, 28, 91)(22, 85, 36, 99, 50, 113, 59, 122, 62, 125, 54, 117, 42, 105, 26, 89, 38, 101)
	L = (1, 65)(2, 69)(3, 70)(4, 64)(5, 71)(6, 77)(7, 78)(8, 79)(9, 80)(10, 66)(11, 67)(12, 68)(13, 81)(14, 89)(15, 90)(16, 91)(17, 92)(18, 93)(19, 94)(20, 72)(21, 73)(22, 74)(23, 75)(24, 76)(25, 95)(26, 102)(27, 101)(28, 105)(29, 100)(30, 106)(31, 107)(32, 108)(33, 109)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 110)(42, 115)(43, 117)(44, 114)(45, 118)(46, 119)(47, 120)(48, 96)(49, 97)(50, 98)(51, 99)(52, 103)(53, 104)(54, 124)(55, 125)(56, 123)(57, 126)(58, 111)(59, 112)(60, 113)(61, 116)(62, 121)(63, 122)
	local type(s) :: { ( 63^18 ) }
Outer automorphisms :: reflexible
Dual of E28.1525
Transitivity :: ET+ VT+ AT
Graph::
	v = 7 e = 63 f = 2
	degree seq :: [ 18^7 ]

E28.1530 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 63, 63})
Quotient :: dipole
Aut^+ = C63 (small group id <63, 2>)
Aut   = D126 (small group id <126, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (Y2, Y1^-1), (Y3^-1, Y2^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y1^-2 * Y2^-2, Y2^7 * Y1^2, Y1^9, Y2^2 * Y3 * Y2 * Y3^2 * Y2^4 * Y1^-4, Y3^18, Y3^2 * Y2^4 * Y3 * Y2^4 * Y3 * Y2^4 * Y3 * Y2^4 * Y3 * Y2^4 * Y3 * Y2^4 * Y3 * Y2^4 * Y3 * Y2^4 * Y3 * Y2^4 * Y3 * Y2^4 * Y3 * Y2^4 * Y3 * Y2^4 * Y3 * Y2^4 * Y3 * Y2^4 * Y3 * Y2^4 * Y3 * Y2^4 * Y3 * Y2^4 * Y3 * Y2^4 * Y3 * Y2^3 * Y3^3 * Y2^2 ]
Map::
	R = (1, 64, 2, 65, 6, 69, 14, 77, 26, 89, 37, 100, 22, 85, 11, 74, 4, 67)(3, 66, 7, 70, 15, 78, 27, 90, 42, 105, 51, 114, 36, 99, 21, 84, 10, 73)(5, 68, 8, 71, 16, 79, 28, 91, 43, 106, 52, 115, 38, 101, 23, 86, 12, 75)(9, 72, 17, 80, 29, 92, 44, 107, 54, 117, 60, 123, 50, 113, 35, 98, 20, 83)(13, 76, 18, 81, 30, 93, 45, 108, 55, 118, 61, 124, 53, 116, 39, 102, 24, 87)(19, 82, 31, 94, 41, 104, 47, 110, 57, 120, 63, 126, 59, 122, 49, 112, 34, 97)(25, 88, 32, 95, 46, 109, 56, 119, 62, 125, 58, 121, 48, 111, 33, 96, 40, 103)(127, 190, 129, 192, 135, 198, 145, 208, 159, 222, 165, 228, 149, 212, 137, 200, 147, 210, 161, 224, 175, 238, 184, 247, 187, 250, 178, 241, 163, 226, 177, 240, 186, 249, 189, 252, 182, 245, 171, 234, 154, 217, 140, 203, 153, 216, 170, 233, 173, 236, 158, 221, 144, 207, 134, 197, 128, 191, 133, 196, 143, 206, 157, 220, 166, 229, 150, 213, 138, 201, 130, 193, 136, 199, 146, 209, 160, 223, 174, 237, 179, 242, 164, 227, 148, 211, 162, 225, 176, 239, 185, 248, 188, 251, 181, 244, 169, 232, 152, 215, 168, 231, 180, 243, 183, 246, 172, 235, 156, 219, 142, 205, 132, 195, 141, 204, 155, 218, 167, 230, 151, 214, 139, 202, 131, 194)
	L = (1, 130)(2, 127)(3, 136)(4, 137)(5, 138)(6, 128)(7, 129)(8, 131)(9, 146)(10, 147)(11, 148)(12, 149)(13, 150)(14, 132)(15, 133)(16, 134)(17, 135)(18, 139)(19, 160)(20, 161)(21, 162)(22, 163)(23, 164)(24, 165)(25, 166)(26, 140)(27, 141)(28, 142)(29, 143)(30, 144)(31, 145)(32, 151)(33, 174)(34, 175)(35, 176)(36, 177)(37, 152)(38, 178)(39, 179)(40, 159)(41, 157)(42, 153)(43, 154)(44, 155)(45, 156)(46, 158)(47, 167)(48, 184)(49, 185)(50, 186)(51, 168)(52, 169)(53, 187)(54, 170)(55, 171)(56, 172)(57, 173)(58, 188)(59, 189)(60, 180)(61, 181)(62, 182)(63, 183)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)
	local type(s) :: { ( 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126 ), ( 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126 ) }
Outer automorphisms :: reflexible
Dual of E28.1536
Graph:: bipartite
	v = 8 e = 126 f = 64
	degree seq :: [ 18^7, 126 ]

E28.1531 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 63, 63})
Quotient :: dipole
Aut^+ = C63 (small group id <63, 2>)
Aut   = D126 (small group id <126, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2, Y1^-1), (Y3^-1, Y2^-1), Y2^7 * Y3, Y1^9, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 64, 2, 65, 6, 69, 14, 77, 26, 89, 36, 99, 22, 85, 11, 74, 4, 67)(3, 66, 7, 70, 15, 78, 27, 90, 40, 103, 48, 111, 35, 98, 21, 84, 10, 73)(5, 68, 8, 71, 16, 79, 28, 91, 41, 104, 49, 112, 37, 100, 23, 86, 12, 75)(9, 72, 17, 80, 29, 92, 42, 105, 52, 115, 57, 120, 47, 110, 34, 97, 20, 83)(13, 76, 18, 81, 30, 93, 43, 106, 53, 116, 58, 121, 50, 113, 38, 101, 24, 87)(19, 82, 31, 94, 44, 107, 54, 117, 60, 123, 62, 125, 56, 119, 46, 109, 33, 96)(25, 88, 32, 95, 45, 108, 55, 118, 61, 124, 63, 126, 59, 122, 51, 114, 39, 102)(127, 190, 129, 192, 135, 198, 145, 208, 158, 221, 144, 207, 134, 197, 128, 191, 133, 196, 143, 206, 157, 220, 171, 234, 156, 219, 142, 205, 132, 195, 141, 204, 155, 218, 170, 233, 181, 244, 169, 232, 154, 217, 140, 203, 153, 216, 168, 231, 180, 243, 187, 250, 179, 242, 167, 230, 152, 215, 166, 229, 178, 241, 186, 249, 189, 252, 184, 247, 175, 238, 162, 225, 174, 237, 183, 246, 188, 251, 185, 248, 176, 239, 163, 226, 148, 211, 161, 224, 173, 236, 182, 245, 177, 240, 164, 227, 149, 212, 137, 200, 147, 210, 160, 223, 172, 235, 165, 228, 150, 213, 138, 201, 130, 193, 136, 199, 146, 209, 159, 222, 151, 214, 139, 202, 131, 194)
	L = (1, 130)(2, 127)(3, 136)(4, 137)(5, 138)(6, 128)(7, 129)(8, 131)(9, 146)(10, 147)(11, 148)(12, 149)(13, 150)(14, 132)(15, 133)(16, 134)(17, 135)(18, 139)(19, 159)(20, 160)(21, 161)(22, 162)(23, 163)(24, 164)(25, 165)(26, 140)(27, 141)(28, 142)(29, 143)(30, 144)(31, 145)(32, 151)(33, 172)(34, 173)(35, 174)(36, 152)(37, 175)(38, 176)(39, 177)(40, 153)(41, 154)(42, 155)(43, 156)(44, 157)(45, 158)(46, 182)(47, 183)(48, 166)(49, 167)(50, 184)(51, 185)(52, 168)(53, 169)(54, 170)(55, 171)(56, 188)(57, 178)(58, 179)(59, 189)(60, 180)(61, 181)(62, 186)(63, 187)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)
	local type(s) :: { ( 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126 ), ( 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126 ) }
Outer automorphisms :: reflexible
Dual of E28.1537
Graph:: bipartite
	v = 8 e = 126 f = 64
	degree seq :: [ 18^7, 126 ]

E28.1532 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 63, 63})
Quotient :: dipole
Aut^+ = C63 (small group id <63, 2>)
Aut   = D126 (small group id <126, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (Y2, Y1^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2^-1), Y1 * Y2^-2 * Y3 * Y1^-1 * Y2^2 * Y1, Y1^9, Y3^3 * Y2^-1 * Y3^2 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1, Y2^-3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2^-4, Y2^-1 * Y1 * Y2^-4 * Y3^-3 * Y2^-2, (Y1^-1 * Y3^4)^9, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 64, 2, 65, 6, 69, 14, 77, 26, 89, 37, 100, 22, 85, 11, 74, 4, 67)(3, 66, 7, 70, 15, 78, 27, 90, 42, 105, 54, 117, 36, 99, 21, 84, 10, 73)(5, 68, 8, 71, 16, 79, 28, 91, 43, 106, 55, 118, 38, 101, 23, 86, 12, 75)(9, 72, 17, 80, 29, 92, 44, 107, 60, 123, 59, 122, 53, 116, 35, 98, 20, 83)(13, 76, 18, 81, 30, 93, 45, 108, 50, 113, 63, 126, 56, 119, 39, 102, 24, 87)(19, 82, 31, 94, 46, 109, 61, 124, 58, 121, 41, 104, 49, 112, 52, 115, 34, 97)(25, 88, 32, 95, 47, 110, 51, 114, 33, 96, 48, 111, 62, 125, 57, 120, 40, 103)(127, 190, 129, 192, 135, 198, 145, 208, 159, 222, 176, 239, 169, 232, 152, 215, 168, 231, 186, 249, 184, 247, 166, 229, 150, 213, 138, 201, 130, 193, 136, 199, 146, 209, 160, 223, 177, 240, 171, 234, 154, 217, 140, 203, 153, 216, 170, 233, 187, 250, 183, 246, 165, 228, 149, 212, 137, 200, 147, 210, 161, 224, 178, 241, 173, 236, 156, 219, 142, 205, 132, 195, 141, 204, 155, 218, 172, 235, 188, 251, 182, 245, 164, 227, 148, 211, 162, 225, 179, 242, 175, 238, 158, 221, 144, 207, 134, 197, 128, 191, 133, 196, 143, 206, 157, 220, 174, 237, 189, 252, 181, 244, 163, 226, 180, 243, 185, 248, 167, 230, 151, 214, 139, 202, 131, 194)
	L = (1, 130)(2, 127)(3, 136)(4, 137)(5, 138)(6, 128)(7, 129)(8, 131)(9, 146)(10, 147)(11, 148)(12, 149)(13, 150)(14, 132)(15, 133)(16, 134)(17, 135)(18, 139)(19, 160)(20, 161)(21, 162)(22, 163)(23, 164)(24, 165)(25, 166)(26, 140)(27, 141)(28, 142)(29, 143)(30, 144)(31, 145)(32, 151)(33, 177)(34, 178)(35, 179)(36, 180)(37, 152)(38, 181)(39, 182)(40, 183)(41, 184)(42, 153)(43, 154)(44, 155)(45, 156)(46, 157)(47, 158)(48, 159)(49, 167)(50, 171)(51, 173)(52, 175)(53, 185)(54, 168)(55, 169)(56, 189)(57, 188)(58, 187)(59, 186)(60, 170)(61, 172)(62, 174)(63, 176)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)
	local type(s) :: { ( 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126 ), ( 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126 ) }
Outer automorphisms :: reflexible
Dual of E28.1535
Graph:: bipartite
	v = 8 e = 126 f = 64
	degree seq :: [ 18^7, 126 ]

E28.1533 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 63, 63})
Quotient :: dipole
Aut^+ = C63 (small group id <63, 2>)
Aut   = D126 (small group id <126, 5>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2, Y1), Y1^3 * Y2^-1 * Y1 * Y2^-1 * Y1, Y2^12 * Y1^-1 * Y2, (Y3^-1 * Y1^-1)^9 ]
Map::
	R = (1, 64, 2, 65, 6, 69, 14, 77, 20, 83, 9, 72, 17, 80, 27, 90, 36, 99, 41, 104, 30, 93, 38, 101, 47, 110, 56, 119, 60, 123, 50, 113, 58, 121, 62, 125, 54, 117, 45, 108, 49, 112, 52, 115, 43, 106, 34, 97, 25, 88, 29, 92, 32, 95, 23, 86, 12, 75, 5, 68, 8, 71, 16, 79, 21, 84, 10, 73, 3, 66, 7, 70, 15, 78, 26, 89, 31, 94, 19, 82, 28, 91, 37, 100, 46, 109, 51, 114, 40, 103, 48, 111, 57, 120, 63, 126, 55, 118, 59, 122, 61, 124, 53, 116, 44, 107, 35, 98, 39, 102, 42, 105, 33, 96, 24, 87, 13, 76, 18, 81, 22, 85, 11, 74, 4, 67)(127, 190, 129, 192, 135, 198, 145, 208, 156, 219, 166, 229, 176, 239, 185, 248, 175, 238, 165, 228, 155, 218, 144, 207, 134, 197, 128, 191, 133, 196, 143, 206, 154, 217, 164, 227, 174, 237, 184, 247, 187, 250, 178, 241, 168, 231, 158, 221, 148, 211, 142, 205, 132, 195, 141, 204, 153, 216, 163, 226, 173, 236, 183, 246, 188, 251, 179, 242, 169, 232, 159, 222, 149, 212, 137, 200, 147, 210, 140, 203, 152, 215, 162, 225, 172, 235, 182, 245, 189, 252, 180, 243, 170, 233, 160, 223, 150, 213, 138, 201, 130, 193, 136, 199, 146, 209, 157, 220, 167, 230, 177, 240, 186, 249, 181, 244, 171, 234, 161, 224, 151, 214, 139, 202, 131, 194)
	L = (1, 129)(2, 133)(3, 135)(4, 136)(5, 127)(6, 141)(7, 143)(8, 128)(9, 145)(10, 146)(11, 147)(12, 130)(13, 131)(14, 152)(15, 153)(16, 132)(17, 154)(18, 134)(19, 156)(20, 157)(21, 140)(22, 142)(23, 137)(24, 138)(25, 139)(26, 162)(27, 163)(28, 164)(29, 144)(30, 166)(31, 167)(32, 148)(33, 149)(34, 150)(35, 151)(36, 172)(37, 173)(38, 174)(39, 155)(40, 176)(41, 177)(42, 158)(43, 159)(44, 160)(45, 161)(46, 182)(47, 183)(48, 184)(49, 165)(50, 185)(51, 186)(52, 168)(53, 169)(54, 170)(55, 171)(56, 189)(57, 188)(58, 187)(59, 175)(60, 181)(61, 178)(62, 179)(63, 180)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)
	local type(s) :: { ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.1534
Graph:: bipartite
	v = 2 e = 126 f = 70
	degree seq :: [ 126^2 ]

E28.1534 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 63, 63})
Quotient :: dipole
Aut^+ = C63 (small group id <63, 2>)
Aut   = D126 (small group id <126, 5>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2, Y3^-1), Y2^-2 * Y3^7, Y2^9, Y2^-1 * Y3^-4 * Y2^-2 * Y3^-3 * Y2^-2 * Y3^-3 * Y2^-2 * Y3^-3 * Y2^-2 * Y3^-3 * Y2^-2 * Y3^-3 * Y2^-2 * Y3^-3 * Y2^-2 * Y3^-3 * Y2^-2 * Y3^-3 * Y2^-2 * Y3^-3 * Y2^-2 * Y3^-3 * Y2^-2 * Y3^-3 * Y2^-2 * Y3^-3 * Y2^-2 * Y3^-3 * Y2^-2 * Y3^-3 * Y2^-2 * Y3^-3, (Y3^-1 * Y1^-1)^63 ]
Map::
	R = (1, 64)(2, 65)(3, 66)(4, 67)(5, 68)(6, 69)(7, 70)(8, 71)(9, 72)(10, 73)(11, 74)(12, 75)(13, 76)(14, 77)(15, 78)(16, 79)(17, 80)(18, 81)(19, 82)(20, 83)(21, 84)(22, 85)(23, 86)(24, 87)(25, 88)(26, 89)(27, 90)(28, 91)(29, 92)(30, 93)(31, 94)(32, 95)(33, 96)(34, 97)(35, 98)(36, 99)(37, 100)(38, 101)(39, 102)(40, 103)(41, 104)(42, 105)(43, 106)(44, 107)(45, 108)(46, 109)(47, 110)(48, 111)(49, 112)(50, 113)(51, 114)(52, 115)(53, 116)(54, 117)(55, 118)(56, 119)(57, 120)(58, 121)(59, 122)(60, 123)(61, 124)(62, 125)(63, 126)(127, 190, 128, 191, 132, 195, 140, 203, 152, 215, 163, 226, 148, 211, 137, 200, 130, 193)(129, 192, 133, 196, 141, 204, 153, 216, 168, 231, 175, 238, 162, 225, 147, 210, 136, 199)(131, 194, 134, 197, 142, 205, 154, 217, 169, 232, 176, 239, 164, 227, 149, 212, 138, 201)(135, 198, 143, 206, 155, 218, 170, 233, 180, 243, 184, 247, 174, 237, 161, 224, 146, 209)(139, 202, 144, 207, 156, 219, 171, 234, 181, 244, 185, 248, 177, 240, 165, 228, 150, 213)(145, 208, 157, 220, 172, 235, 182, 245, 188, 251, 187, 250, 179, 242, 167, 230, 160, 223)(151, 214, 158, 221, 159, 222, 173, 236, 183, 246, 189, 252, 186, 249, 178, 241, 166, 229)
	L = (1, 129)(2, 133)(3, 135)(4, 136)(5, 127)(6, 141)(7, 143)(8, 128)(9, 145)(10, 146)(11, 147)(12, 130)(13, 131)(14, 153)(15, 155)(16, 132)(17, 157)(18, 134)(19, 159)(20, 160)(21, 161)(22, 162)(23, 137)(24, 138)(25, 139)(26, 168)(27, 170)(28, 140)(29, 172)(30, 142)(31, 173)(32, 144)(33, 156)(34, 158)(35, 167)(36, 174)(37, 175)(38, 148)(39, 149)(40, 150)(41, 151)(42, 180)(43, 152)(44, 182)(45, 154)(46, 183)(47, 171)(48, 179)(49, 184)(50, 163)(51, 164)(52, 165)(53, 166)(54, 188)(55, 169)(56, 189)(57, 181)(58, 187)(59, 176)(60, 177)(61, 178)(62, 186)(63, 185)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)
	local type(s) :: { ( 126, 126 ), ( 126^18 ) }
Outer automorphisms :: reflexible
Dual of E28.1533
Graph:: simple bipartite
	v = 70 e = 126 f = 2
	degree seq :: [ 2^63, 18^7 ]

E28.1535 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 63, 63})
Quotient :: dipole
Aut^+ = C63 (small group id <63, 2>)
Aut   = D126 (small group id <126, 5>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^9, Y3^2 * Y1^7, (Y3 * Y2^-1)^9, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-2 * Y1^2 * Y3^-1 ]
Map::
	R = (1, 64, 2, 65, 6, 69, 14, 77, 26, 89, 39, 102, 24, 87, 13, 76, 18, 81, 30, 93, 43, 106, 54, 117, 61, 124, 53, 116, 41, 104, 47, 110, 57, 120, 63, 126, 59, 122, 49, 112, 34, 97, 19, 82, 31, 94, 44, 107, 51, 114, 36, 99, 21, 84, 10, 73, 3, 66, 7, 70, 15, 78, 27, 90, 38, 101, 23, 86, 12, 75, 5, 68, 8, 71, 16, 79, 28, 91, 42, 105, 52, 115, 40, 103, 25, 88, 32, 95, 45, 108, 55, 118, 62, 125, 58, 121, 48, 111, 33, 96, 46, 109, 56, 119, 60, 123, 50, 113, 35, 98, 20, 83, 9, 72, 17, 80, 29, 92, 37, 100, 22, 85, 11, 74, 4, 67)(127, 190)(128, 191)(129, 192)(130, 193)(131, 194)(132, 195)(133, 196)(134, 197)(135, 198)(136, 199)(137, 200)(138, 201)(139, 202)(140, 203)(141, 204)(142, 205)(143, 206)(144, 207)(145, 208)(146, 209)(147, 210)(148, 211)(149, 212)(150, 213)(151, 214)(152, 215)(153, 216)(154, 217)(155, 218)(156, 219)(157, 220)(158, 221)(159, 222)(160, 223)(161, 224)(162, 225)(163, 226)(164, 227)(165, 228)(166, 229)(167, 230)(168, 231)(169, 232)(170, 233)(171, 234)(172, 235)(173, 236)(174, 237)(175, 238)(176, 239)(177, 240)(178, 241)(179, 242)(180, 243)(181, 244)(182, 245)(183, 246)(184, 247)(185, 248)(186, 249)(187, 250)(188, 251)(189, 252)
	L = (1, 129)(2, 133)(3, 135)(4, 136)(5, 127)(6, 141)(7, 143)(8, 128)(9, 145)(10, 146)(11, 147)(12, 130)(13, 131)(14, 153)(15, 155)(16, 132)(17, 157)(18, 134)(19, 159)(20, 160)(21, 161)(22, 162)(23, 137)(24, 138)(25, 139)(26, 164)(27, 163)(28, 140)(29, 170)(30, 142)(31, 172)(32, 144)(33, 167)(34, 174)(35, 175)(36, 176)(37, 177)(38, 148)(39, 149)(40, 150)(41, 151)(42, 152)(43, 154)(44, 182)(45, 156)(46, 173)(47, 158)(48, 179)(49, 184)(50, 185)(51, 186)(52, 165)(53, 166)(54, 168)(55, 169)(56, 183)(57, 171)(58, 187)(59, 188)(60, 189)(61, 178)(62, 180)(63, 181)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)
	local type(s) :: { ( 18, 126 ), ( 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126 ) }
Outer automorphisms :: reflexible
Dual of E28.1532
Graph:: bipartite
	v = 64 e = 126 f = 8
	degree seq :: [ 2^63, 126 ]

E28.1536 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 63, 63})
Quotient :: dipole
Aut^+ = C63 (small group id <63, 2>)
Aut   = D126 (small group id <126, 5>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (Y1, Y3), (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-9, Y1^7 * Y3^-4, (Y3 * Y2^-1)^9, Y3^27, Y3^36, Y1^4 * Y3^2 * Y1^4 * Y3^2 * Y1^4 * Y3^2 * Y1^4 * Y3^2 * Y1^4 * Y3^2 * Y1^4 * Y3^2 * Y1^4 * Y3^2 * Y1^4 * Y3^2 * Y1^4 * Y3^2 * Y1^4 * Y3^2 * Y1^4 * Y3^2 * Y1^4 * Y3^2 * Y1^4 * Y3^2 * Y1^4 * Y3^2 * Y1^4 * Y3^2 * Y1^4 * Y3^2 * Y1^4 * Y3^2 * Y1^2 * Y3^-2 ]
Map::
	R = (1, 64, 2, 65, 6, 69, 14, 77, 26, 89, 42, 105, 51, 114, 33, 96, 49, 112, 63, 126, 56, 119, 38, 101, 23, 86, 12, 75, 5, 68, 8, 71, 16, 79, 28, 91, 44, 107, 52, 115, 34, 97, 19, 82, 31, 94, 47, 110, 62, 125, 57, 120, 39, 102, 24, 87, 13, 76, 18, 81, 30, 93, 46, 109, 53, 116, 35, 98, 20, 83, 9, 72, 17, 80, 29, 92, 45, 108, 61, 124, 58, 121, 40, 103, 25, 88, 32, 95, 48, 111, 54, 117, 36, 99, 21, 84, 10, 73, 3, 66, 7, 70, 15, 78, 27, 90, 43, 106, 60, 123, 59, 122, 41, 104, 50, 113, 55, 118, 37, 100, 22, 85, 11, 74, 4, 67)(127, 190)(128, 191)(129, 192)(130, 193)(131, 194)(132, 195)(133, 196)(134, 197)(135, 198)(136, 199)(137, 200)(138, 201)(139, 202)(140, 203)(141, 204)(142, 205)(143, 206)(144, 207)(145, 208)(146, 209)(147, 210)(148, 211)(149, 212)(150, 213)(151, 214)(152, 215)(153, 216)(154, 217)(155, 218)(156, 219)(157, 220)(158, 221)(159, 222)(160, 223)(161, 224)(162, 225)(163, 226)(164, 227)(165, 228)(166, 229)(167, 230)(168, 231)(169, 232)(170, 233)(171, 234)(172, 235)(173, 236)(174, 237)(175, 238)(176, 239)(177, 240)(178, 241)(179, 242)(180, 243)(181, 244)(182, 245)(183, 246)(184, 247)(185, 248)(186, 249)(187, 250)(188, 251)(189, 252)
	L = (1, 129)(2, 133)(3, 135)(4, 136)(5, 127)(6, 141)(7, 143)(8, 128)(9, 145)(10, 146)(11, 147)(12, 130)(13, 131)(14, 153)(15, 155)(16, 132)(17, 157)(18, 134)(19, 159)(20, 160)(21, 161)(22, 162)(23, 137)(24, 138)(25, 139)(26, 169)(27, 171)(28, 140)(29, 173)(30, 142)(31, 175)(32, 144)(33, 167)(34, 177)(35, 178)(36, 179)(37, 180)(38, 148)(39, 149)(40, 150)(41, 151)(42, 186)(43, 187)(44, 152)(45, 188)(46, 154)(47, 189)(48, 156)(49, 176)(50, 158)(51, 185)(52, 168)(53, 170)(54, 172)(55, 174)(56, 163)(57, 164)(58, 165)(59, 166)(60, 184)(61, 183)(62, 182)(63, 181)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)
	local type(s) :: { ( 18, 126 ), ( 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126 ) }
Outer automorphisms :: reflexible
Dual of E28.1530
Graph:: bipartite
	v = 64 e = 126 f = 8
	degree seq :: [ 2^63, 126 ]

E28.1537 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 63, 63})
Quotient :: dipole
Aut^+ = C63 (small group id <63, 2>)
Aut   = D126 (small group id <126, 5>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, Y1^-7 * Y3, Y3^9, (Y3 * Y2^-1)^9, (Y1^-1 * Y3^-1)^63 ]
Map::
	R = (1, 64, 2, 65, 6, 69, 14, 77, 26, 89, 21, 84, 10, 73, 3, 66, 7, 70, 15, 78, 27, 90, 40, 103, 35, 98, 20, 83, 9, 72, 17, 80, 29, 92, 41, 104, 52, 115, 48, 111, 34, 97, 19, 82, 31, 94, 43, 106, 53, 116, 60, 123, 57, 120, 47, 110, 33, 96, 45, 108, 55, 118, 61, 124, 63, 126, 59, 122, 51, 114, 39, 102, 46, 109, 56, 119, 62, 125, 58, 121, 50, 113, 38, 101, 25, 88, 32, 95, 44, 107, 54, 117, 49, 112, 37, 100, 24, 87, 13, 76, 18, 81, 30, 93, 42, 105, 36, 99, 23, 86, 12, 75, 5, 68, 8, 71, 16, 79, 28, 91, 22, 85, 11, 74, 4, 67)(127, 190)(128, 191)(129, 192)(130, 193)(131, 194)(132, 195)(133, 196)(134, 197)(135, 198)(136, 199)(137, 200)(138, 201)(139, 202)(140, 203)(141, 204)(142, 205)(143, 206)(144, 207)(145, 208)(146, 209)(147, 210)(148, 211)(149, 212)(150, 213)(151, 214)(152, 215)(153, 216)(154, 217)(155, 218)(156, 219)(157, 220)(158, 221)(159, 222)(160, 223)(161, 224)(162, 225)(163, 226)(164, 227)(165, 228)(166, 229)(167, 230)(168, 231)(169, 232)(170, 233)(171, 234)(172, 235)(173, 236)(174, 237)(175, 238)(176, 239)(177, 240)(178, 241)(179, 242)(180, 243)(181, 244)(182, 245)(183, 246)(184, 247)(185, 248)(186, 249)(187, 250)(188, 251)(189, 252)
	L = (1, 129)(2, 133)(3, 135)(4, 136)(5, 127)(6, 141)(7, 143)(8, 128)(9, 145)(10, 146)(11, 147)(12, 130)(13, 131)(14, 153)(15, 155)(16, 132)(17, 157)(18, 134)(19, 159)(20, 160)(21, 161)(22, 152)(23, 137)(24, 138)(25, 139)(26, 166)(27, 167)(28, 140)(29, 169)(30, 142)(31, 171)(32, 144)(33, 165)(34, 173)(35, 174)(36, 148)(37, 149)(38, 150)(39, 151)(40, 178)(41, 179)(42, 154)(43, 181)(44, 156)(45, 172)(46, 158)(47, 177)(48, 183)(49, 162)(50, 163)(51, 164)(52, 186)(53, 187)(54, 168)(55, 182)(56, 170)(57, 185)(58, 175)(59, 176)(60, 189)(61, 188)(62, 180)(63, 184)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)
	local type(s) :: { ( 18, 126 ), ( 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126, 18, 126 ) }
Outer automorphisms :: reflexible
Dual of E28.1531
Graph:: bipartite
	v = 64 e = 126 f = 8
	degree seq :: [ 2^63, 126 ]

E28.1538 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 8, 32})
Quotient :: halfedge^2
Aut^+ = D64 (small group id <64, 52>)
Aut   = $<128, 161>$ (small group id <128, 161>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y1 * Y3)^2, R * Y3 * R * Y2, (R * Y1)^2, (Y2 * Y1)^2, Y1 * Y3 * Y2 * Y1^-1 * Y2 * Y3, Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y2, Y1^3 * Y2 * Y1^-2 * Y3 * Y1^6, Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 66, 2, 70, 6, 78, 14, 90, 26, 102, 38, 114, 50, 124, 60, 112, 48, 100, 36, 87, 23, 76, 12, 82, 18, 94, 30, 106, 42, 118, 54, 127, 63, 121, 57, 109, 45, 97, 33, 84, 20, 74, 10, 81, 17, 93, 29, 105, 41, 117, 53, 125, 61, 113, 49, 101, 37, 89, 25, 77, 13, 69, 5, 65)(3, 73, 9, 83, 19, 96, 32, 108, 44, 120, 56, 128, 64, 119, 55, 107, 43, 95, 31, 88, 24, 85, 21, 98, 34, 110, 46, 122, 58, 126, 62, 116, 52, 104, 40, 92, 28, 80, 16, 72, 8, 68, 4, 75, 11, 86, 22, 99, 35, 111, 47, 123, 59, 115, 51, 103, 39, 91, 27, 79, 15, 71, 7, 67)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 27)(16, 30)(17, 24)(20, 34)(22, 36)(25, 32)(26, 39)(28, 42)(29, 31)(33, 46)(35, 48)(37, 44)(38, 51)(40, 54)(41, 43)(45, 58)(47, 60)(49, 56)(50, 59)(52, 63)(53, 55)(57, 62)(61, 64)(65, 68)(66, 72)(67, 74)(69, 75)(70, 80)(71, 81)(73, 84)(76, 88)(77, 86)(78, 92)(79, 93)(82, 95)(83, 97)(85, 87)(89, 99)(90, 104)(91, 105)(94, 107)(96, 109)(98, 100)(101, 111)(102, 116)(103, 117)(106, 119)(108, 121)(110, 112)(113, 123)(114, 126)(115, 125)(118, 128)(120, 127)(122, 124)
	local type(s) :: { ( 16^64 ) }
Outer automorphisms :: reflexible
Dual of E28.1540
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 64 f = 8
	degree seq :: [ 64^2 ]

E28.1539 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 8, 32})
Quotient :: halfedge^2
Aut^+ = D64 (small group id <64, 52>)
Aut   = $<128, 161>$ (small group id <128, 161>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y2 * Y1^-1)^2, R * Y3 * R * Y2, (Y3 * Y1)^2, (R * Y1)^2, Y1^2 * Y3 * Y1^-3 * Y2, Y1^-2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2, Y1^-1 * Y2 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 ]
Map:: non-degenerate
	R = (1, 66, 2, 70, 6, 78, 14, 84, 20, 74, 10, 81, 17, 91, 27, 100, 36, 104, 40, 95, 31, 102, 38, 111, 47, 120, 56, 124, 60, 115, 51, 122, 58, 119, 55, 123, 59, 126, 62, 117, 53, 108, 44, 99, 35, 103, 39, 106, 42, 97, 33, 87, 23, 76, 12, 82, 18, 89, 25, 77, 13, 69, 5, 65)(3, 73, 9, 83, 19, 80, 16, 72, 8, 68, 4, 75, 11, 86, 22, 96, 32, 93, 29, 88, 24, 98, 34, 107, 43, 116, 52, 113, 49, 109, 45, 118, 54, 125, 61, 128, 64, 127, 63, 121, 57, 112, 48, 105, 41, 114, 50, 110, 46, 101, 37, 92, 28, 85, 21, 94, 30, 90, 26, 79, 15, 71, 7, 67)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 26)(16, 25)(17, 28)(20, 30)(22, 33)(24, 35)(27, 37)(29, 39)(31, 41)(32, 42)(34, 44)(36, 46)(38, 48)(40, 50)(43, 53)(45, 55)(47, 57)(49, 59)(51, 61)(52, 62)(54, 58)(56, 63)(60, 64)(65, 68)(66, 72)(67, 74)(69, 75)(70, 80)(71, 81)(73, 84)(76, 88)(77, 86)(78, 83)(79, 91)(82, 93)(85, 95)(87, 98)(89, 96)(90, 100)(92, 102)(94, 104)(97, 107)(99, 109)(101, 111)(103, 113)(105, 115)(106, 116)(108, 118)(110, 120)(112, 122)(114, 124)(117, 125)(119, 121)(123, 127)(126, 128)
	local type(s) :: { ( 16^64 ) }
Outer automorphisms :: reflexible
Dual of E28.1541
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 64 f = 8
	degree seq :: [ 64^2 ]

E28.1540 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 8, 32})
Quotient :: halfedge^2
Aut^+ = D64 (small group id <64, 52>)
Aut   = $<128, 161>$ (small group id <128, 161>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y2 * Y1)^2, (R * Y1)^2, (Y3 * Y1)^2, Y1^8, Y2 * Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3, Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 66, 2, 70, 6, 78, 14, 90, 26, 89, 25, 77, 13, 69, 5, 65)(3, 73, 9, 83, 19, 97, 33, 105, 41, 91, 27, 79, 15, 71, 7, 67)(4, 75, 11, 86, 22, 101, 37, 106, 42, 92, 28, 80, 16, 72, 8, 68)(10, 81, 17, 93, 29, 107, 43, 117, 53, 112, 48, 98, 34, 84, 20, 74)(12, 82, 18, 94, 30, 108, 44, 118, 54, 115, 51, 102, 38, 87, 23, 76)(21, 99, 35, 113, 49, 122, 58, 125, 61, 119, 55, 109, 45, 95, 31, 85)(24, 103, 39, 116, 52, 124, 60, 126, 62, 120, 56, 110, 46, 96, 32, 88)(36, 104, 40, 111, 47, 121, 57, 127, 63, 128, 64, 123, 59, 114, 50, 100)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 27)(16, 30)(17, 31)(20, 35)(22, 38)(24, 40)(25, 33)(26, 41)(28, 44)(29, 45)(32, 47)(34, 49)(36, 39)(37, 51)(42, 54)(43, 55)(46, 57)(48, 58)(50, 52)(53, 61)(56, 63)(59, 60)(62, 64)(65, 68)(66, 72)(67, 74)(69, 75)(70, 80)(71, 81)(73, 84)(76, 88)(77, 86)(78, 92)(79, 93)(82, 96)(83, 98)(85, 100)(87, 103)(89, 101)(90, 106)(91, 107)(94, 110)(95, 104)(97, 112)(99, 114)(102, 116)(105, 117)(108, 120)(109, 111)(113, 123)(115, 124)(118, 126)(119, 121)(122, 128)(125, 127)
	local type(s) :: { ( 64^16 ) }
Outer automorphisms :: reflexible
Dual of E28.1538
Transitivity :: VT+ AT
Graph:: bipartite
	v = 8 e = 64 f = 2
	degree seq :: [ 16^8 ]

E28.1541 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 8, 32})
Quotient :: halfedge^2
Aut^+ = D64 (small group id <64, 52>)
Aut   = $<128, 161>$ (small group id <128, 161>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y2 * Y1)^2, (R * Y1)^2, (Y3 * Y1)^2, Y1^8, Y3 * Y1^-1 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 66, 2, 70, 6, 78, 14, 90, 26, 89, 25, 77, 13, 69, 5, 65)(3, 73, 9, 83, 19, 97, 33, 105, 41, 91, 27, 79, 15, 71, 7, 67)(4, 75, 11, 86, 22, 101, 37, 106, 42, 92, 28, 80, 16, 72, 8, 68)(10, 81, 17, 93, 29, 107, 43, 121, 57, 113, 49, 98, 34, 84, 20, 74)(12, 82, 18, 94, 30, 108, 44, 122, 58, 117, 53, 102, 38, 87, 23, 76)(21, 99, 35, 114, 50, 120, 56, 128, 64, 123, 59, 109, 45, 95, 31, 85)(24, 103, 39, 118, 54, 126, 62, 125, 61, 116, 52, 110, 46, 96, 32, 88)(36, 111, 47, 124, 60, 127, 63, 119, 55, 104, 40, 112, 48, 115, 51, 100)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 27)(16, 30)(17, 31)(20, 35)(22, 38)(24, 40)(25, 33)(26, 41)(28, 44)(29, 45)(32, 48)(34, 50)(36, 52)(37, 53)(39, 55)(42, 58)(43, 59)(46, 51)(47, 61)(49, 56)(54, 63)(57, 64)(60, 62)(65, 68)(66, 72)(67, 74)(69, 75)(70, 80)(71, 81)(73, 84)(76, 88)(77, 86)(78, 92)(79, 93)(82, 96)(83, 98)(85, 100)(87, 103)(89, 101)(90, 106)(91, 107)(94, 110)(95, 111)(97, 113)(99, 115)(102, 118)(104, 120)(105, 121)(108, 116)(109, 124)(112, 114)(117, 126)(119, 128)(122, 125)(123, 127)
	local type(s) :: { ( 64^16 ) }
Outer automorphisms :: reflexible
Dual of E28.1539
Transitivity :: VT+ AT
Graph:: bipartite
	v = 8 e = 64 f = 2
	degree seq :: [ 16^8 ]

E28.1542 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 32})
Quotient :: edge^2
Aut^+ = D64 (small group id <64, 52>)
Aut   = $<128, 161>$ (small group id <128, 161>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y2)^2, (Y3^-1 * Y1)^2, Y3^8, Y1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2, (Y1 * Y3 * Y2 * Y1 * Y2)^16 ]
Map::
	R = (1, 65, 4, 68, 12, 76, 24, 88, 40, 104, 25, 89, 13, 77, 5, 69)(2, 66, 7, 71, 17, 81, 31, 95, 46, 110, 32, 96, 18, 82, 8, 72)(3, 67, 10, 74, 22, 86, 38, 102, 52, 116, 39, 103, 23, 87, 11, 75)(6, 70, 15, 79, 29, 93, 44, 108, 56, 120, 45, 109, 30, 94, 16, 80)(9, 73, 20, 84, 36, 100, 50, 114, 60, 124, 51, 115, 37, 101, 21, 85)(14, 78, 27, 91, 42, 106, 54, 118, 62, 126, 55, 119, 43, 107, 28, 92)(19, 83, 34, 98, 48, 112, 58, 122, 64, 128, 59, 123, 49, 113, 35, 99)(26, 90, 33, 97, 47, 111, 57, 121, 63, 127, 61, 125, 53, 117, 41, 105)(129, 130)(131, 137)(132, 136)(133, 135)(134, 142)(138, 149)(139, 148)(140, 146)(141, 145)(143, 156)(144, 155)(147, 161)(150, 165)(151, 164)(152, 160)(153, 159)(154, 162)(157, 171)(158, 170)(163, 175)(166, 179)(167, 178)(168, 174)(169, 176)(172, 183)(173, 182)(177, 185)(180, 188)(181, 186)(184, 190)(187, 191)(189, 192)(193, 195)(194, 198)(196, 203)(197, 202)(199, 208)(200, 207)(201, 211)(204, 215)(205, 214)(206, 218)(209, 222)(210, 221)(212, 227)(213, 226)(216, 231)(217, 230)(219, 233)(220, 225)(223, 237)(224, 236)(228, 241)(229, 240)(232, 244)(234, 245)(235, 239)(238, 248)(242, 251)(243, 250)(246, 253)(247, 249)(252, 256)(254, 255)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 128, 128 ), ( 128^16 ) }
Outer automorphisms :: reflexible
Dual of E28.1549
Graph:: simple bipartite
	v = 72 e = 128 f = 2
	degree seq :: [ 2^64, 16^8 ]

E28.1543 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 32})
Quotient :: edge^2
Aut^+ = D64 (small group id <64, 52>)
Aut   = $<128, 161>$ (small group id <128, 161>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1)^2, Y3^8, Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y3^-2 * Y1 * Y2, Y3 * Y1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 65, 4, 68, 12, 76, 24, 88, 40, 104, 25, 89, 13, 77, 5, 69)(2, 66, 7, 71, 17, 81, 31, 95, 48, 112, 32, 96, 18, 82, 8, 72)(3, 67, 10, 74, 22, 86, 38, 102, 56, 120, 39, 103, 23, 87, 11, 75)(6, 70, 15, 79, 29, 93, 46, 110, 60, 124, 47, 111, 30, 94, 16, 80)(9, 73, 20, 84, 36, 100, 54, 118, 64, 128, 55, 119, 37, 101, 21, 85)(14, 78, 27, 91, 44, 108, 49, 113, 61, 125, 59, 123, 45, 109, 28, 92)(19, 83, 34, 98, 52, 116, 63, 127, 57, 121, 41, 105, 53, 117, 35, 99)(26, 90, 42, 106, 58, 122, 62, 126, 51, 115, 33, 97, 50, 114, 43, 107)(129, 130)(131, 137)(132, 136)(133, 135)(134, 142)(138, 149)(139, 148)(140, 146)(141, 145)(143, 156)(144, 155)(147, 161)(150, 165)(151, 164)(152, 160)(153, 159)(154, 169)(157, 173)(158, 172)(162, 179)(163, 178)(166, 183)(167, 182)(168, 176)(170, 185)(171, 181)(174, 187)(175, 177)(180, 190)(184, 192)(186, 191)(188, 189)(193, 195)(194, 198)(196, 203)(197, 202)(199, 208)(200, 207)(201, 211)(204, 215)(205, 214)(206, 218)(209, 222)(210, 221)(212, 227)(213, 226)(216, 231)(217, 230)(219, 235)(220, 234)(223, 239)(224, 238)(225, 241)(228, 245)(229, 244)(232, 248)(233, 246)(236, 242)(237, 250)(240, 252)(243, 253)(247, 255)(249, 256)(251, 254)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 128, 128 ), ( 128^16 ) }
Outer automorphisms :: reflexible
Dual of E28.1548
Graph:: simple bipartite
	v = 72 e = 128 f = 2
	degree seq :: [ 2^64, 16^8 ]

E28.1544 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 32})
Quotient :: edge^2
Aut^+ = D64 (small group id <64, 52>)
Aut   = $<128, 161>$ (small group id <128, 161>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, (Y1 * Y3)^2, Y1 * Y3^-1 * Y2 * Y3^4, Y3 * Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1, (Y3^-3 * Y1 * Y2)^4 ]
Map::
	R = (1, 65, 4, 68, 12, 76, 24, 88, 21, 85, 9, 73, 20, 84, 34, 98, 45, 109, 43, 107, 31, 95, 42, 106, 54, 118, 62, 126, 61, 125, 51, 115, 58, 122, 46, 110, 57, 121, 60, 124, 49, 113, 38, 102, 26, 90, 37, 101, 40, 104, 29, 93, 16, 80, 6, 70, 15, 79, 25, 89, 13, 77, 5, 69)(2, 66, 7, 71, 17, 81, 30, 94, 28, 92, 14, 78, 27, 91, 39, 103, 50, 114, 48, 112, 36, 100, 47, 111, 59, 123, 64, 128, 63, 127, 56, 120, 53, 117, 41, 105, 52, 116, 55, 119, 44, 108, 33, 97, 19, 83, 32, 96, 35, 99, 23, 87, 11, 75, 3, 67, 10, 74, 22, 86, 18, 82, 8, 72)(129, 130)(131, 137)(132, 136)(133, 135)(134, 142)(138, 149)(139, 148)(140, 146)(141, 145)(143, 156)(144, 155)(147, 159)(150, 152)(151, 162)(153, 158)(154, 164)(157, 167)(160, 171)(161, 170)(163, 173)(165, 176)(166, 175)(168, 178)(169, 179)(172, 182)(174, 184)(177, 187)(180, 189)(181, 186)(183, 190)(185, 191)(188, 192)(193, 195)(194, 198)(196, 203)(197, 202)(199, 208)(200, 207)(201, 211)(204, 215)(205, 214)(206, 218)(209, 221)(210, 217)(212, 225)(213, 224)(216, 227)(219, 230)(220, 229)(222, 232)(223, 233)(226, 236)(228, 238)(231, 241)(234, 245)(235, 244)(237, 247)(239, 250)(240, 249)(242, 252)(243, 251)(246, 248)(253, 256)(254, 255)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 32, 32 ), ( 32^64 ) }
Outer automorphisms :: reflexible
Dual of E28.1547
Graph:: simple bipartite
	v = 66 e = 128 f = 8
	degree seq :: [ 2^64, 64^2 ]

E28.1545 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 32})
Quotient :: edge^2
Aut^+ = D64 (small group id <64, 52>)
Aut   = $<128, 161>$ (small group id <128, 161>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3 * Y2)^2, Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2, (Y1 * Y3^3)^2, Y3^-1 * Y1 * Y3^10 * Y2, (Y3 * Y1 * Y2)^8 ]
Map::
	R = (1, 65, 4, 68, 12, 76, 24, 88, 36, 100, 48, 112, 60, 124, 52, 116, 40, 104, 28, 92, 16, 80, 6, 70, 15, 79, 27, 91, 39, 103, 51, 115, 63, 127, 57, 121, 45, 109, 33, 97, 21, 85, 9, 73, 20, 84, 32, 96, 44, 108, 56, 120, 61, 125, 49, 113, 37, 101, 25, 89, 13, 77, 5, 69)(2, 66, 7, 71, 17, 81, 29, 93, 41, 105, 53, 117, 59, 123, 47, 111, 35, 99, 23, 87, 11, 75, 3, 67, 10, 74, 22, 86, 34, 98, 46, 110, 58, 122, 62, 126, 50, 114, 38, 102, 26, 90, 14, 78, 19, 83, 31, 95, 43, 107, 55, 119, 64, 128, 54, 118, 42, 106, 30, 94, 18, 82, 8, 72)(129, 130)(131, 137)(132, 136)(133, 135)(134, 142)(138, 149)(139, 148)(140, 146)(141, 145)(143, 154)(144, 147)(150, 161)(151, 160)(152, 158)(153, 157)(155, 166)(156, 159)(162, 173)(163, 172)(164, 170)(165, 169)(167, 178)(168, 171)(174, 185)(175, 184)(176, 182)(177, 181)(179, 190)(180, 183)(186, 191)(187, 189)(188, 192)(193, 195)(194, 198)(196, 203)(197, 202)(199, 208)(200, 207)(201, 211)(204, 215)(205, 214)(206, 212)(209, 220)(210, 219)(213, 223)(216, 227)(217, 226)(218, 224)(221, 232)(222, 231)(225, 235)(228, 239)(229, 238)(230, 236)(233, 244)(234, 243)(237, 247)(240, 251)(241, 250)(242, 248)(245, 252)(246, 255)(249, 256)(253, 254)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 32, 32 ), ( 32^64 ) }
Outer automorphisms :: reflexible
Dual of E28.1546
Graph:: simple bipartite
	v = 66 e = 128 f = 8
	degree seq :: [ 2^64, 64^2 ]

E28.1546 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 32})
Quotient :: loop^2
Aut^+ = D64 (small group id <64, 52>)
Aut   = $<128, 161>$ (small group id <128, 161>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y2)^2, (Y3^-1 * Y1)^2, Y3^8, Y1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2, (Y1 * Y3 * Y2 * Y1 * Y2)^16 ]
Map::
	R = (1, 65, 129, 193, 4, 68, 132, 196, 12, 76, 140, 204, 24, 88, 152, 216, 40, 104, 168, 232, 25, 89, 153, 217, 13, 77, 141, 205, 5, 69, 133, 197)(2, 66, 130, 194, 7, 71, 135, 199, 17, 81, 145, 209, 31, 95, 159, 223, 46, 110, 174, 238, 32, 96, 160, 224, 18, 82, 146, 210, 8, 72, 136, 200)(3, 67, 131, 195, 10, 74, 138, 202, 22, 86, 150, 214, 38, 102, 166, 230, 52, 116, 180, 244, 39, 103, 167, 231, 23, 87, 151, 215, 11, 75, 139, 203)(6, 70, 134, 198, 15, 79, 143, 207, 29, 93, 157, 221, 44, 108, 172, 236, 56, 120, 184, 248, 45, 109, 173, 237, 30, 94, 158, 222, 16, 80, 144, 208)(9, 73, 137, 201, 20, 84, 148, 212, 36, 100, 164, 228, 50, 114, 178, 242, 60, 124, 188, 252, 51, 115, 179, 243, 37, 101, 165, 229, 21, 85, 149, 213)(14, 78, 142, 206, 27, 91, 155, 219, 42, 106, 170, 234, 54, 118, 182, 246, 62, 126, 190, 254, 55, 119, 183, 247, 43, 107, 171, 235, 28, 92, 156, 220)(19, 83, 147, 211, 34, 98, 162, 226, 48, 112, 176, 240, 58, 122, 186, 250, 64, 128, 192, 256, 59, 123, 187, 251, 49, 113, 177, 241, 35, 99, 163, 227)(26, 90, 154, 218, 33, 97, 161, 225, 47, 111, 175, 239, 57, 121, 185, 249, 63, 127, 191, 255, 61, 125, 189, 253, 53, 117, 181, 245, 41, 105, 169, 233)
	L = (1, 66)(2, 65)(3, 73)(4, 72)(5, 71)(6, 78)(7, 69)(8, 68)(9, 67)(10, 85)(11, 84)(12, 82)(13, 81)(14, 70)(15, 92)(16, 91)(17, 77)(18, 76)(19, 97)(20, 75)(21, 74)(22, 101)(23, 100)(24, 96)(25, 95)(26, 98)(27, 80)(28, 79)(29, 107)(30, 106)(31, 89)(32, 88)(33, 83)(34, 90)(35, 111)(36, 87)(37, 86)(38, 115)(39, 114)(40, 110)(41, 112)(42, 94)(43, 93)(44, 119)(45, 118)(46, 104)(47, 99)(48, 105)(49, 121)(50, 103)(51, 102)(52, 124)(53, 122)(54, 109)(55, 108)(56, 126)(57, 113)(58, 117)(59, 127)(60, 116)(61, 128)(62, 120)(63, 123)(64, 125)(129, 195)(130, 198)(131, 193)(132, 203)(133, 202)(134, 194)(135, 208)(136, 207)(137, 211)(138, 197)(139, 196)(140, 215)(141, 214)(142, 218)(143, 200)(144, 199)(145, 222)(146, 221)(147, 201)(148, 227)(149, 226)(150, 205)(151, 204)(152, 231)(153, 230)(154, 206)(155, 233)(156, 225)(157, 210)(158, 209)(159, 237)(160, 236)(161, 220)(162, 213)(163, 212)(164, 241)(165, 240)(166, 217)(167, 216)(168, 244)(169, 219)(170, 245)(171, 239)(172, 224)(173, 223)(174, 248)(175, 235)(176, 229)(177, 228)(178, 251)(179, 250)(180, 232)(181, 234)(182, 253)(183, 249)(184, 238)(185, 247)(186, 243)(187, 242)(188, 256)(189, 246)(190, 255)(191, 254)(192, 252)
	local type(s) :: { ( 2, 64, 2, 64, 2, 64, 2, 64, 2, 64, 2, 64, 2, 64, 2, 64, 2, 64, 2, 64, 2, 64, 2, 64, 2, 64, 2, 64, 2, 64, 2, 64 ) }
Outer automorphisms :: reflexible
Dual of E28.1545
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 128 f = 66
	degree seq :: [ 32^8 ]

E28.1547 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 32})
Quotient :: loop^2
Aut^+ = D64 (small group id <64, 52>)
Aut   = $<128, 161>$ (small group id <128, 161>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1)^2, Y3^8, Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y3^-2 * Y1 * Y2, Y3 * Y1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 65, 129, 193, 4, 68, 132, 196, 12, 76, 140, 204, 24, 88, 152, 216, 40, 104, 168, 232, 25, 89, 153, 217, 13, 77, 141, 205, 5, 69, 133, 197)(2, 66, 130, 194, 7, 71, 135, 199, 17, 81, 145, 209, 31, 95, 159, 223, 48, 112, 176, 240, 32, 96, 160, 224, 18, 82, 146, 210, 8, 72, 136, 200)(3, 67, 131, 195, 10, 74, 138, 202, 22, 86, 150, 214, 38, 102, 166, 230, 56, 120, 184, 248, 39, 103, 167, 231, 23, 87, 151, 215, 11, 75, 139, 203)(6, 70, 134, 198, 15, 79, 143, 207, 29, 93, 157, 221, 46, 110, 174, 238, 60, 124, 188, 252, 47, 111, 175, 239, 30, 94, 158, 222, 16, 80, 144, 208)(9, 73, 137, 201, 20, 84, 148, 212, 36, 100, 164, 228, 54, 118, 182, 246, 64, 128, 192, 256, 55, 119, 183, 247, 37, 101, 165, 229, 21, 85, 149, 213)(14, 78, 142, 206, 27, 91, 155, 219, 44, 108, 172, 236, 49, 113, 177, 241, 61, 125, 189, 253, 59, 123, 187, 251, 45, 109, 173, 237, 28, 92, 156, 220)(19, 83, 147, 211, 34, 98, 162, 226, 52, 116, 180, 244, 63, 127, 191, 255, 57, 121, 185, 249, 41, 105, 169, 233, 53, 117, 181, 245, 35, 99, 163, 227)(26, 90, 154, 218, 42, 106, 170, 234, 58, 122, 186, 250, 62, 126, 190, 254, 51, 115, 179, 243, 33, 97, 161, 225, 50, 114, 178, 242, 43, 107, 171, 235)
	L = (1, 66)(2, 65)(3, 73)(4, 72)(5, 71)(6, 78)(7, 69)(8, 68)(9, 67)(10, 85)(11, 84)(12, 82)(13, 81)(14, 70)(15, 92)(16, 91)(17, 77)(18, 76)(19, 97)(20, 75)(21, 74)(22, 101)(23, 100)(24, 96)(25, 95)(26, 105)(27, 80)(28, 79)(29, 109)(30, 108)(31, 89)(32, 88)(33, 83)(34, 115)(35, 114)(36, 87)(37, 86)(38, 119)(39, 118)(40, 112)(41, 90)(42, 121)(43, 117)(44, 94)(45, 93)(46, 123)(47, 113)(48, 104)(49, 111)(50, 99)(51, 98)(52, 126)(53, 107)(54, 103)(55, 102)(56, 128)(57, 106)(58, 127)(59, 110)(60, 125)(61, 124)(62, 116)(63, 122)(64, 120)(129, 195)(130, 198)(131, 193)(132, 203)(133, 202)(134, 194)(135, 208)(136, 207)(137, 211)(138, 197)(139, 196)(140, 215)(141, 214)(142, 218)(143, 200)(144, 199)(145, 222)(146, 221)(147, 201)(148, 227)(149, 226)(150, 205)(151, 204)(152, 231)(153, 230)(154, 206)(155, 235)(156, 234)(157, 210)(158, 209)(159, 239)(160, 238)(161, 241)(162, 213)(163, 212)(164, 245)(165, 244)(166, 217)(167, 216)(168, 248)(169, 246)(170, 220)(171, 219)(172, 242)(173, 250)(174, 224)(175, 223)(176, 252)(177, 225)(178, 236)(179, 253)(180, 229)(181, 228)(182, 233)(183, 255)(184, 232)(185, 256)(186, 237)(187, 254)(188, 240)(189, 243)(190, 251)(191, 247)(192, 249)
	local type(s) :: { ( 2, 64, 2, 64, 2, 64, 2, 64, 2, 64, 2, 64, 2, 64, 2, 64, 2, 64, 2, 64, 2, 64, 2, 64, 2, 64, 2, 64, 2, 64, 2, 64 ) }
Outer automorphisms :: reflexible
Dual of E28.1544
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 128 f = 66
	degree seq :: [ 32^8 ]

E28.1548 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 32})
Quotient :: loop^2
Aut^+ = D64 (small group id <64, 52>)
Aut   = $<128, 161>$ (small group id <128, 161>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, (Y1 * Y3)^2, Y1 * Y3^-1 * Y2 * Y3^4, Y3 * Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1, (Y3^-3 * Y1 * Y2)^4 ]
Map::
	R = (1, 65, 129, 193, 4, 68, 132, 196, 12, 76, 140, 204, 24, 88, 152, 216, 21, 85, 149, 213, 9, 73, 137, 201, 20, 84, 148, 212, 34, 98, 162, 226, 45, 109, 173, 237, 43, 107, 171, 235, 31, 95, 159, 223, 42, 106, 170, 234, 54, 118, 182, 246, 62, 126, 190, 254, 61, 125, 189, 253, 51, 115, 179, 243, 58, 122, 186, 250, 46, 110, 174, 238, 57, 121, 185, 249, 60, 124, 188, 252, 49, 113, 177, 241, 38, 102, 166, 230, 26, 90, 154, 218, 37, 101, 165, 229, 40, 104, 168, 232, 29, 93, 157, 221, 16, 80, 144, 208, 6, 70, 134, 198, 15, 79, 143, 207, 25, 89, 153, 217, 13, 77, 141, 205, 5, 69, 133, 197)(2, 66, 130, 194, 7, 71, 135, 199, 17, 81, 145, 209, 30, 94, 158, 222, 28, 92, 156, 220, 14, 78, 142, 206, 27, 91, 155, 219, 39, 103, 167, 231, 50, 114, 178, 242, 48, 112, 176, 240, 36, 100, 164, 228, 47, 111, 175, 239, 59, 123, 187, 251, 64, 128, 192, 256, 63, 127, 191, 255, 56, 120, 184, 248, 53, 117, 181, 245, 41, 105, 169, 233, 52, 116, 180, 244, 55, 119, 183, 247, 44, 108, 172, 236, 33, 97, 161, 225, 19, 83, 147, 211, 32, 96, 160, 224, 35, 99, 163, 227, 23, 87, 151, 215, 11, 75, 139, 203, 3, 67, 131, 195, 10, 74, 138, 202, 22, 86, 150, 214, 18, 82, 146, 210, 8, 72, 136, 200)
	L = (1, 66)(2, 65)(3, 73)(4, 72)(5, 71)(6, 78)(7, 69)(8, 68)(9, 67)(10, 85)(11, 84)(12, 82)(13, 81)(14, 70)(15, 92)(16, 91)(17, 77)(18, 76)(19, 95)(20, 75)(21, 74)(22, 88)(23, 98)(24, 86)(25, 94)(26, 100)(27, 80)(28, 79)(29, 103)(30, 89)(31, 83)(32, 107)(33, 106)(34, 87)(35, 109)(36, 90)(37, 112)(38, 111)(39, 93)(40, 114)(41, 115)(42, 97)(43, 96)(44, 118)(45, 99)(46, 120)(47, 102)(48, 101)(49, 123)(50, 104)(51, 105)(52, 125)(53, 122)(54, 108)(55, 126)(56, 110)(57, 127)(58, 117)(59, 113)(60, 128)(61, 116)(62, 119)(63, 121)(64, 124)(129, 195)(130, 198)(131, 193)(132, 203)(133, 202)(134, 194)(135, 208)(136, 207)(137, 211)(138, 197)(139, 196)(140, 215)(141, 214)(142, 218)(143, 200)(144, 199)(145, 221)(146, 217)(147, 201)(148, 225)(149, 224)(150, 205)(151, 204)(152, 227)(153, 210)(154, 206)(155, 230)(156, 229)(157, 209)(158, 232)(159, 233)(160, 213)(161, 212)(162, 236)(163, 216)(164, 238)(165, 220)(166, 219)(167, 241)(168, 222)(169, 223)(170, 245)(171, 244)(172, 226)(173, 247)(174, 228)(175, 250)(176, 249)(177, 231)(178, 252)(179, 251)(180, 235)(181, 234)(182, 248)(183, 237)(184, 246)(185, 240)(186, 239)(187, 243)(188, 242)(189, 256)(190, 255)(191, 254)(192, 253)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.1543
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 128 f = 72
	degree seq :: [ 128^2 ]

E28.1549 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 32})
Quotient :: loop^2
Aut^+ = D64 (small group id <64, 52>)
Aut   = $<128, 161>$ (small group id <128, 161>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3 * Y2)^2, Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2, (Y1 * Y3^3)^2, Y3^-1 * Y1 * Y3^10 * Y2, (Y3 * Y1 * Y2)^8 ]
Map::
	R = (1, 65, 129, 193, 4, 68, 132, 196, 12, 76, 140, 204, 24, 88, 152, 216, 36, 100, 164, 228, 48, 112, 176, 240, 60, 124, 188, 252, 52, 116, 180, 244, 40, 104, 168, 232, 28, 92, 156, 220, 16, 80, 144, 208, 6, 70, 134, 198, 15, 79, 143, 207, 27, 91, 155, 219, 39, 103, 167, 231, 51, 115, 179, 243, 63, 127, 191, 255, 57, 121, 185, 249, 45, 109, 173, 237, 33, 97, 161, 225, 21, 85, 149, 213, 9, 73, 137, 201, 20, 84, 148, 212, 32, 96, 160, 224, 44, 108, 172, 236, 56, 120, 184, 248, 61, 125, 189, 253, 49, 113, 177, 241, 37, 101, 165, 229, 25, 89, 153, 217, 13, 77, 141, 205, 5, 69, 133, 197)(2, 66, 130, 194, 7, 71, 135, 199, 17, 81, 145, 209, 29, 93, 157, 221, 41, 105, 169, 233, 53, 117, 181, 245, 59, 123, 187, 251, 47, 111, 175, 239, 35, 99, 163, 227, 23, 87, 151, 215, 11, 75, 139, 203, 3, 67, 131, 195, 10, 74, 138, 202, 22, 86, 150, 214, 34, 98, 162, 226, 46, 110, 174, 238, 58, 122, 186, 250, 62, 126, 190, 254, 50, 114, 178, 242, 38, 102, 166, 230, 26, 90, 154, 218, 14, 78, 142, 206, 19, 83, 147, 211, 31, 95, 159, 223, 43, 107, 171, 235, 55, 119, 183, 247, 64, 128, 192, 256, 54, 118, 182, 246, 42, 106, 170, 234, 30, 94, 158, 222, 18, 82, 146, 210, 8, 72, 136, 200)
	L = (1, 66)(2, 65)(3, 73)(4, 72)(5, 71)(6, 78)(7, 69)(8, 68)(9, 67)(10, 85)(11, 84)(12, 82)(13, 81)(14, 70)(15, 90)(16, 83)(17, 77)(18, 76)(19, 80)(20, 75)(21, 74)(22, 97)(23, 96)(24, 94)(25, 93)(26, 79)(27, 102)(28, 95)(29, 89)(30, 88)(31, 92)(32, 87)(33, 86)(34, 109)(35, 108)(36, 106)(37, 105)(38, 91)(39, 114)(40, 107)(41, 101)(42, 100)(43, 104)(44, 99)(45, 98)(46, 121)(47, 120)(48, 118)(49, 117)(50, 103)(51, 126)(52, 119)(53, 113)(54, 112)(55, 116)(56, 111)(57, 110)(58, 127)(59, 125)(60, 128)(61, 123)(62, 115)(63, 122)(64, 124)(129, 195)(130, 198)(131, 193)(132, 203)(133, 202)(134, 194)(135, 208)(136, 207)(137, 211)(138, 197)(139, 196)(140, 215)(141, 214)(142, 212)(143, 200)(144, 199)(145, 220)(146, 219)(147, 201)(148, 206)(149, 223)(150, 205)(151, 204)(152, 227)(153, 226)(154, 224)(155, 210)(156, 209)(157, 232)(158, 231)(159, 213)(160, 218)(161, 235)(162, 217)(163, 216)(164, 239)(165, 238)(166, 236)(167, 222)(168, 221)(169, 244)(170, 243)(171, 225)(172, 230)(173, 247)(174, 229)(175, 228)(176, 251)(177, 250)(178, 248)(179, 234)(180, 233)(181, 252)(182, 255)(183, 237)(184, 242)(185, 256)(186, 241)(187, 240)(188, 245)(189, 254)(190, 253)(191, 246)(192, 249)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.1542
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 128 f = 72
	degree seq :: [ 128^2 ]

E28.1550 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 32})
Quotient :: dipole
Aut^+ = D64 (small group id <64, 52>)
Aut   = $<128, 991>$ (small group id <128, 991>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2^-1), (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, (Y2^-1 * Y1)^2, Y2 * Y3^4, Y2^8, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 10, 74)(5, 69, 7, 71)(6, 70, 8, 72)(11, 75, 24, 88)(12, 76, 25, 89)(13, 77, 23, 87)(14, 78, 26, 90)(15, 79, 21, 85)(16, 80, 19, 83)(17, 81, 20, 84)(18, 82, 22, 86)(27, 91, 41, 105)(28, 92, 42, 106)(29, 93, 40, 104)(30, 94, 39, 103)(31, 95, 38, 102)(32, 96, 37, 101)(33, 97, 35, 99)(34, 98, 36, 100)(43, 107, 50, 114)(44, 108, 56, 120)(45, 109, 55, 119)(46, 110, 54, 118)(47, 111, 53, 117)(48, 112, 52, 116)(49, 113, 51, 115)(57, 121, 62, 126)(58, 122, 61, 125)(59, 123, 64, 128)(60, 124, 63, 127)(129, 193, 131, 195, 139, 203, 155, 219, 171, 235, 161, 225, 144, 208, 133, 197)(130, 194, 135, 199, 147, 211, 163, 227, 178, 242, 169, 233, 152, 216, 137, 201)(132, 196, 140, 204, 156, 220, 172, 236, 185, 249, 176, 240, 160, 224, 143, 207)(134, 198, 141, 205, 157, 221, 173, 237, 186, 250, 177, 241, 162, 226, 145, 209)(136, 200, 148, 212, 164, 228, 179, 243, 189, 253, 183, 247, 168, 232, 151, 215)(138, 202, 149, 213, 165, 229, 180, 244, 190, 254, 184, 248, 170, 234, 153, 217)(142, 206, 146, 210, 158, 222, 174, 238, 187, 251, 188, 252, 175, 239, 159, 223)(150, 214, 154, 218, 166, 230, 181, 245, 191, 255, 192, 256, 182, 246, 167, 231)
	L = (1, 132)(2, 136)(3, 140)(4, 142)(5, 143)(6, 129)(7, 148)(8, 150)(9, 151)(10, 130)(11, 156)(12, 146)(13, 131)(14, 145)(15, 159)(16, 160)(17, 133)(18, 134)(19, 164)(20, 154)(21, 135)(22, 153)(23, 167)(24, 168)(25, 137)(26, 138)(27, 172)(28, 158)(29, 139)(30, 141)(31, 162)(32, 175)(33, 176)(34, 144)(35, 179)(36, 166)(37, 147)(38, 149)(39, 170)(40, 182)(41, 183)(42, 152)(43, 185)(44, 174)(45, 155)(46, 157)(47, 177)(48, 188)(49, 161)(50, 189)(51, 181)(52, 163)(53, 165)(54, 184)(55, 192)(56, 169)(57, 187)(58, 171)(59, 173)(60, 186)(61, 191)(62, 178)(63, 180)(64, 190)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 64, 4, 64 ), ( 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64 ) }
Outer automorphisms :: reflexible
Dual of E28.1554
Graph:: simple bipartite
	v = 40 e = 128 f = 34
	degree seq :: [ 4^32, 16^8 ]

E28.1551 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 32})
Quotient :: dipole
Aut^+ = D64 (small group id <64, 52>)
Aut   = $<128, 991>$ (small group id <128, 991>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (Y3, Y2^-1), (Y3^-1 * Y1)^2, (Y2 * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^4 * Y2^-3, Y2^8, Y2^8 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 10, 74)(5, 69, 7, 71)(6, 70, 8, 72)(11, 75, 24, 88)(12, 76, 25, 89)(13, 77, 23, 87)(14, 78, 26, 90)(15, 79, 21, 85)(16, 80, 19, 83)(17, 81, 20, 84)(18, 82, 22, 86)(27, 91, 47, 111)(28, 92, 48, 112)(29, 93, 46, 110)(30, 94, 49, 113)(31, 95, 45, 109)(32, 96, 50, 114)(33, 97, 43, 107)(34, 98, 41, 105)(35, 99, 39, 103)(36, 100, 40, 104)(37, 101, 42, 106)(38, 102, 44, 108)(51, 115, 58, 122)(52, 116, 62, 126)(53, 117, 63, 127)(54, 118, 64, 128)(55, 119, 59, 123)(56, 120, 60, 124)(57, 121, 61, 125)(129, 193, 131, 195, 139, 203, 155, 219, 179, 243, 163, 227, 144, 208, 133, 197)(130, 194, 135, 199, 147, 211, 167, 231, 186, 250, 175, 239, 152, 216, 137, 201)(132, 196, 140, 204, 156, 220, 180, 244, 185, 249, 166, 230, 162, 226, 143, 207)(134, 198, 141, 205, 157, 221, 160, 224, 182, 246, 183, 247, 164, 228, 145, 209)(136, 200, 148, 212, 168, 232, 187, 251, 192, 256, 178, 242, 174, 238, 151, 215)(138, 202, 149, 213, 169, 233, 172, 236, 189, 253, 190, 254, 176, 240, 153, 217)(142, 206, 158, 222, 181, 245, 184, 248, 165, 229, 146, 210, 159, 223, 161, 225)(150, 214, 170, 234, 188, 252, 191, 255, 177, 241, 154, 218, 171, 235, 173, 237)
	L = (1, 132)(2, 136)(3, 140)(4, 142)(5, 143)(6, 129)(7, 148)(8, 150)(9, 151)(10, 130)(11, 156)(12, 158)(13, 131)(14, 160)(15, 161)(16, 162)(17, 133)(18, 134)(19, 168)(20, 170)(21, 135)(22, 172)(23, 173)(24, 174)(25, 137)(26, 138)(27, 180)(28, 181)(29, 139)(30, 182)(31, 141)(32, 155)(33, 157)(34, 159)(35, 166)(36, 144)(37, 145)(38, 146)(39, 187)(40, 188)(41, 147)(42, 189)(43, 149)(44, 167)(45, 169)(46, 171)(47, 178)(48, 152)(49, 153)(50, 154)(51, 185)(52, 184)(53, 183)(54, 179)(55, 163)(56, 164)(57, 165)(58, 192)(59, 191)(60, 190)(61, 186)(62, 175)(63, 176)(64, 177)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 64, 4, 64 ), ( 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64 ) }
Outer automorphisms :: reflexible
Dual of E28.1555
Graph:: simple bipartite
	v = 40 e = 128 f = 34
	degree seq :: [ 4^32, 16^8 ]

E28.1552 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 32})
Quotient :: dipole
Aut^+ = D64 (small group id <64, 52>)
Aut   = $<128, 991>$ (small group id <128, 991>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2), (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (Y2^-1 * Y1)^2, (R * Y2)^2, Y3^4 * Y2^-1, Y2^8, Y2^-3 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 10, 74)(5, 69, 7, 71)(6, 70, 8, 72)(11, 75, 24, 88)(12, 76, 25, 89)(13, 77, 23, 87)(14, 78, 26, 90)(15, 79, 21, 85)(16, 80, 19, 83)(17, 81, 20, 84)(18, 82, 22, 86)(27, 91, 40, 104)(28, 92, 41, 105)(29, 93, 39, 103)(30, 94, 42, 106)(31, 95, 37, 101)(32, 96, 35, 99)(33, 97, 36, 100)(34, 98, 38, 102)(43, 107, 50, 114)(44, 108, 55, 119)(45, 109, 54, 118)(46, 110, 56, 120)(47, 111, 52, 116)(48, 112, 51, 115)(49, 113, 53, 117)(57, 121, 62, 126)(58, 122, 61, 125)(59, 123, 64, 128)(60, 124, 63, 127)(129, 193, 131, 195, 139, 203, 155, 219, 171, 235, 160, 224, 144, 208, 133, 197)(130, 194, 135, 199, 147, 211, 163, 227, 178, 242, 168, 232, 152, 216, 137, 201)(132, 196, 140, 204, 156, 220, 172, 236, 185, 249, 175, 239, 159, 223, 143, 207)(134, 198, 141, 205, 157, 221, 173, 237, 186, 250, 176, 240, 161, 225, 145, 209)(136, 200, 148, 212, 164, 228, 179, 243, 189, 253, 182, 246, 167, 231, 151, 215)(138, 202, 149, 213, 165, 229, 180, 244, 190, 254, 183, 247, 169, 233, 153, 217)(142, 206, 158, 222, 174, 238, 187, 251, 188, 252, 177, 241, 162, 226, 146, 210)(150, 214, 166, 230, 181, 245, 191, 255, 192, 256, 184, 248, 170, 234, 154, 218)
	L = (1, 132)(2, 136)(3, 140)(4, 142)(5, 143)(6, 129)(7, 148)(8, 150)(9, 151)(10, 130)(11, 156)(12, 158)(13, 131)(14, 141)(15, 146)(16, 159)(17, 133)(18, 134)(19, 164)(20, 166)(21, 135)(22, 149)(23, 154)(24, 167)(25, 137)(26, 138)(27, 172)(28, 174)(29, 139)(30, 157)(31, 162)(32, 175)(33, 144)(34, 145)(35, 179)(36, 181)(37, 147)(38, 165)(39, 170)(40, 182)(41, 152)(42, 153)(43, 185)(44, 187)(45, 155)(46, 173)(47, 177)(48, 160)(49, 161)(50, 189)(51, 191)(52, 163)(53, 180)(54, 184)(55, 168)(56, 169)(57, 188)(58, 171)(59, 186)(60, 176)(61, 192)(62, 178)(63, 190)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 64, 4, 64 ), ( 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64 ) }
Outer automorphisms :: reflexible
Dual of E28.1557
Graph:: simple bipartite
	v = 40 e = 128 f = 34
	degree seq :: [ 4^32, 16^8 ]

E28.1553 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 32})
Quotient :: dipole
Aut^+ = D64 (small group id <64, 52>)
Aut   = $<128, 991>$ (small group id <128, 991>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2^-1, Y3^-1), (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, (Y2^-1 * Y1)^2, Y2^3 * Y3^4, Y2^-8, Y2^8, Y2^3 * Y3^-1 * Y2^2 * Y3^-3, (Y2^-1 * Y3)^32 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 10, 74)(5, 69, 7, 71)(6, 70, 8, 72)(11, 75, 24, 88)(12, 76, 25, 89)(13, 77, 23, 87)(14, 78, 26, 90)(15, 79, 21, 85)(16, 80, 19, 83)(17, 81, 20, 84)(18, 82, 22, 86)(27, 91, 47, 111)(28, 92, 48, 112)(29, 93, 46, 110)(30, 94, 49, 113)(31, 95, 45, 109)(32, 96, 50, 114)(33, 97, 43, 107)(34, 98, 41, 105)(35, 99, 39, 103)(36, 100, 40, 104)(37, 101, 42, 106)(38, 102, 44, 108)(51, 115, 58, 122)(52, 116, 64, 128)(53, 117, 63, 127)(54, 118, 62, 126)(55, 119, 61, 125)(56, 120, 60, 124)(57, 121, 59, 123)(129, 193, 131, 195, 139, 203, 155, 219, 179, 243, 163, 227, 144, 208, 133, 197)(130, 194, 135, 199, 147, 211, 167, 231, 186, 250, 175, 239, 152, 216, 137, 201)(132, 196, 140, 204, 156, 220, 166, 230, 182, 246, 185, 249, 162, 226, 143, 207)(134, 198, 141, 205, 157, 221, 180, 244, 183, 247, 160, 224, 164, 228, 145, 209)(136, 200, 148, 212, 168, 232, 178, 242, 189, 253, 192, 256, 174, 238, 151, 215)(138, 202, 149, 213, 169, 233, 187, 251, 190, 254, 172, 236, 176, 240, 153, 217)(142, 206, 158, 222, 165, 229, 146, 210, 159, 223, 181, 245, 184, 248, 161, 225)(150, 214, 170, 234, 177, 241, 154, 218, 171, 235, 188, 252, 191, 255, 173, 237)
	L = (1, 132)(2, 136)(3, 140)(4, 142)(5, 143)(6, 129)(7, 148)(8, 150)(9, 151)(10, 130)(11, 156)(12, 158)(13, 131)(14, 160)(15, 161)(16, 162)(17, 133)(18, 134)(19, 168)(20, 170)(21, 135)(22, 172)(23, 173)(24, 174)(25, 137)(26, 138)(27, 166)(28, 165)(29, 139)(30, 164)(31, 141)(32, 163)(33, 183)(34, 184)(35, 185)(36, 144)(37, 145)(38, 146)(39, 178)(40, 177)(41, 147)(42, 176)(43, 149)(44, 175)(45, 190)(46, 191)(47, 192)(48, 152)(49, 153)(50, 154)(51, 182)(52, 155)(53, 157)(54, 159)(55, 179)(56, 180)(57, 181)(58, 189)(59, 167)(60, 169)(61, 171)(62, 186)(63, 187)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 64, 4, 64 ), ( 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64 ) }
Outer automorphisms :: reflexible
Dual of E28.1556
Graph:: simple bipartite
	v = 40 e = 128 f = 34
	degree seq :: [ 4^32, 16^8 ]

E28.1554 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 32})
Quotient :: dipole
Aut^+ = D64 (small group id <64, 52>)
Aut   = $<128, 991>$ (small group id <128, 991>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y1)^2, (Y2 * Y1^-1)^2, Y3^-1 * Y1^-1 * Y3^-4, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-4, (Y1^-1 * Y3^3)^4 ]
Map:: non-degenerate
	R = (1, 65, 2, 66, 7, 71, 19, 83, 37, 101, 33, 97, 14, 78, 25, 89, 43, 107, 58, 122, 53, 117, 36, 100, 17, 81, 6, 70, 10, 74, 22, 86, 40, 104, 34, 98, 15, 79, 4, 68, 9, 73, 21, 85, 39, 103, 55, 119, 52, 116, 32, 96, 18, 82, 26, 90, 44, 108, 35, 99, 16, 80, 5, 69)(3, 67, 11, 75, 27, 91, 47, 111, 59, 123, 45, 109, 30, 94, 50, 114, 62, 126, 63, 127, 57, 121, 42, 106, 24, 88, 13, 77, 29, 93, 49, 113, 56, 120, 41, 105, 23, 87, 12, 76, 28, 92, 48, 112, 61, 125, 64, 128, 60, 124, 46, 110, 31, 95, 51, 115, 54, 118, 38, 102, 20, 84, 8, 72)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 141, 205)(133, 197, 139, 203)(134, 198, 140, 204)(135, 199, 148, 212)(137, 201, 152, 216)(138, 202, 151, 215)(142, 206, 159, 223)(143, 207, 157, 221)(144, 208, 155, 219)(145, 209, 156, 220)(146, 210, 158, 222)(147, 211, 166, 230)(149, 213, 170, 234)(150, 214, 169, 233)(153, 217, 174, 238)(154, 218, 173, 237)(160, 224, 178, 242)(161, 225, 179, 243)(162, 226, 177, 241)(163, 227, 175, 239)(164, 228, 176, 240)(165, 229, 182, 246)(167, 231, 185, 249)(168, 232, 184, 248)(171, 235, 188, 252)(172, 236, 187, 251)(180, 244, 190, 254)(181, 245, 189, 253)(183, 247, 191, 255)(186, 250, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 142)(5, 143)(6, 129)(7, 149)(8, 151)(9, 153)(10, 130)(11, 156)(12, 158)(13, 131)(14, 160)(15, 161)(16, 162)(17, 133)(18, 134)(19, 167)(20, 169)(21, 171)(22, 135)(23, 173)(24, 136)(25, 146)(26, 138)(27, 176)(28, 178)(29, 139)(30, 174)(31, 141)(32, 145)(33, 180)(34, 165)(35, 168)(36, 144)(37, 183)(38, 184)(39, 186)(40, 147)(41, 187)(42, 148)(43, 154)(44, 150)(45, 188)(46, 152)(47, 189)(48, 190)(49, 155)(50, 159)(51, 157)(52, 164)(53, 163)(54, 177)(55, 181)(56, 175)(57, 166)(58, 172)(59, 192)(60, 170)(61, 191)(62, 179)(63, 182)(64, 185)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.1550
Graph:: bipartite
	v = 34 e = 128 f = 40
	degree seq :: [ 4^32, 64^2 ]

E28.1555 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 32})
Quotient :: dipole
Aut^+ = D64 (small group id <64, 52>)
Aut   = $<128, 991>$ (small group id <128, 991>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3 * Y1^-3, (Y3 * Y2)^2, (R * Y3)^2, (Y2 * Y1^-1)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y3^10, (Y3^-1 * Y1^-1)^8 ]
Map:: non-degenerate
	R = (1, 65, 2, 66, 7, 71, 4, 68, 9, 73, 18, 82, 14, 78, 21, 85, 30, 94, 26, 90, 33, 97, 42, 106, 38, 102, 45, 109, 54, 118, 50, 114, 57, 121, 52, 116, 58, 122, 51, 115, 40, 104, 46, 110, 39, 103, 28, 92, 34, 98, 27, 91, 16, 80, 22, 86, 15, 79, 6, 70, 10, 74, 5, 69)(3, 67, 11, 75, 19, 83, 12, 76, 23, 87, 31, 95, 24, 88, 35, 99, 43, 107, 36, 100, 47, 111, 55, 119, 48, 112, 59, 123, 63, 127, 60, 124, 64, 128, 61, 125, 62, 126, 56, 120, 49, 113, 53, 117, 44, 108, 37, 101, 41, 105, 32, 96, 25, 89, 29, 93, 20, 84, 13, 77, 17, 81, 8, 72)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 141, 205)(133, 197, 139, 203)(134, 198, 140, 204)(135, 199, 145, 209)(137, 201, 148, 212)(138, 202, 147, 211)(142, 206, 153, 217)(143, 207, 151, 215)(144, 208, 152, 216)(146, 210, 157, 221)(149, 213, 160, 224)(150, 214, 159, 223)(154, 218, 165, 229)(155, 219, 163, 227)(156, 220, 164, 228)(158, 222, 169, 233)(161, 225, 172, 236)(162, 226, 171, 235)(166, 230, 177, 241)(167, 231, 175, 239)(168, 232, 176, 240)(170, 234, 181, 245)(173, 237, 184, 248)(174, 238, 183, 247)(178, 242, 189, 253)(179, 243, 187, 251)(180, 244, 188, 252)(182, 246, 190, 254)(185, 249, 192, 256)(186, 250, 191, 255)
	L = (1, 132)(2, 137)(3, 140)(4, 142)(5, 135)(6, 129)(7, 146)(8, 147)(9, 149)(10, 130)(11, 151)(12, 152)(13, 131)(14, 154)(15, 133)(16, 134)(17, 139)(18, 158)(19, 159)(20, 136)(21, 161)(22, 138)(23, 163)(24, 164)(25, 141)(26, 166)(27, 143)(28, 144)(29, 145)(30, 170)(31, 171)(32, 148)(33, 173)(34, 150)(35, 175)(36, 176)(37, 153)(38, 178)(39, 155)(40, 156)(41, 157)(42, 182)(43, 183)(44, 160)(45, 185)(46, 162)(47, 187)(48, 188)(49, 165)(50, 186)(51, 167)(52, 168)(53, 169)(54, 180)(55, 191)(56, 172)(57, 179)(58, 174)(59, 192)(60, 190)(61, 177)(62, 181)(63, 189)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.1551
Graph:: bipartite
	v = 34 e = 128 f = 40
	degree seq :: [ 4^32, 64^2 ]

E28.1556 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 32})
Quotient :: dipole
Aut^+ = D64 (small group id <64, 52>)
Aut   = $<128, 991>$ (small group id <128, 991>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, (Y3^-1, Y1), (R * Y1)^2, (Y2 * Y1^-1)^2, Y3^-1 * Y1^-5, (R * Y2 * Y3^-1)^2, (Y2 * Y3 * Y1)^2, Y3^-4 * Y1^2 * Y3^-2, Y1^-1 * Y3^5 * Y1^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 65, 2, 66, 7, 71, 19, 83, 17, 81, 6, 70, 10, 74, 22, 86, 38, 102, 35, 99, 18, 82, 26, 90, 42, 106, 55, 119, 53, 117, 36, 100, 46, 110, 32, 96, 45, 109, 58, 122, 52, 116, 33, 97, 14, 78, 25, 89, 41, 105, 34, 98, 15, 79, 4, 68, 9, 73, 21, 85, 16, 80, 5, 69)(3, 67, 11, 75, 27, 91, 40, 104, 24, 88, 13, 77, 29, 93, 47, 111, 57, 121, 44, 108, 31, 95, 49, 113, 61, 125, 64, 128, 60, 124, 51, 115, 59, 123, 50, 114, 62, 126, 63, 127, 56, 120, 43, 107, 30, 94, 48, 112, 54, 118, 39, 103, 23, 87, 12, 76, 28, 92, 37, 101, 20, 84, 8, 72)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 141, 205)(133, 197, 139, 203)(134, 198, 140, 204)(135, 199, 148, 212)(137, 201, 152, 216)(138, 202, 151, 215)(142, 206, 159, 223)(143, 207, 157, 221)(144, 208, 155, 219)(145, 209, 156, 220)(146, 210, 158, 222)(147, 211, 165, 229)(149, 213, 168, 232)(150, 214, 167, 231)(153, 217, 172, 236)(154, 218, 171, 235)(160, 224, 179, 243)(161, 225, 177, 241)(162, 226, 175, 239)(163, 227, 176, 240)(164, 228, 178, 242)(166, 230, 182, 246)(169, 233, 185, 249)(170, 234, 184, 248)(173, 237, 188, 252)(174, 238, 187, 251)(180, 244, 189, 253)(181, 245, 190, 254)(183, 247, 191, 255)(186, 250, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 142)(5, 143)(6, 129)(7, 149)(8, 151)(9, 153)(10, 130)(11, 156)(12, 158)(13, 131)(14, 160)(15, 161)(16, 162)(17, 133)(18, 134)(19, 144)(20, 167)(21, 169)(22, 135)(23, 171)(24, 136)(25, 173)(26, 138)(27, 165)(28, 176)(29, 139)(30, 178)(31, 141)(32, 170)(33, 174)(34, 180)(35, 145)(36, 146)(37, 182)(38, 147)(39, 184)(40, 148)(41, 186)(42, 150)(43, 187)(44, 152)(45, 183)(46, 154)(47, 155)(48, 190)(49, 157)(50, 189)(51, 159)(52, 164)(53, 163)(54, 191)(55, 166)(56, 179)(57, 168)(58, 181)(59, 177)(60, 172)(61, 175)(62, 192)(63, 188)(64, 185)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.1553
Graph:: bipartite
	v = 34 e = 128 f = 40
	degree seq :: [ 4^32, 64^2 ]

E28.1557 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 32})
Quotient :: dipole
Aut^+ = D64 (small group id <64, 52>)
Aut   = $<128, 991>$ (small group id <128, 991>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3 * Y1^-1 * Y3^2, (Y3 * Y2)^2, (Y3, Y1^-1), (R * Y1)^2, (R * Y3)^2, (Y1^-1 * Y2)^2, (R * Y2 * Y3^-1)^2, Y1^-11 * Y3, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 65, 2, 66, 7, 71, 17, 81, 29, 93, 41, 105, 53, 117, 50, 114, 38, 102, 26, 90, 14, 78, 4, 68, 9, 73, 19, 83, 31, 95, 43, 107, 55, 119, 52, 116, 40, 104, 28, 92, 16, 80, 6, 70, 10, 74, 20, 84, 32, 96, 44, 108, 56, 120, 51, 115, 39, 103, 27, 91, 15, 79, 5, 69)(3, 67, 11, 75, 23, 87, 35, 99, 47, 111, 59, 123, 63, 127, 57, 121, 45, 109, 33, 97, 21, 85, 12, 76, 24, 88, 36, 100, 48, 112, 60, 124, 64, 128, 58, 122, 46, 110, 34, 98, 22, 86, 13, 77, 25, 89, 37, 101, 49, 113, 61, 125, 62, 126, 54, 118, 42, 106, 30, 94, 18, 82, 8, 72)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 141, 205)(133, 197, 139, 203)(134, 198, 140, 204)(135, 199, 146, 210)(137, 201, 150, 214)(138, 202, 149, 213)(142, 206, 153, 217)(143, 207, 151, 215)(144, 208, 152, 216)(145, 209, 158, 222)(147, 211, 162, 226)(148, 212, 161, 225)(154, 218, 165, 229)(155, 219, 163, 227)(156, 220, 164, 228)(157, 221, 170, 234)(159, 223, 174, 238)(160, 224, 173, 237)(166, 230, 177, 241)(167, 231, 175, 239)(168, 232, 176, 240)(169, 233, 182, 246)(171, 235, 186, 250)(172, 236, 185, 249)(178, 242, 189, 253)(179, 243, 187, 251)(180, 244, 188, 252)(181, 245, 190, 254)(183, 247, 192, 256)(184, 248, 191, 255)
	L = (1, 132)(2, 137)(3, 140)(4, 138)(5, 142)(6, 129)(7, 147)(8, 149)(9, 148)(10, 130)(11, 152)(12, 153)(13, 131)(14, 134)(15, 154)(16, 133)(17, 159)(18, 161)(19, 160)(20, 135)(21, 141)(22, 136)(23, 164)(24, 165)(25, 139)(26, 144)(27, 166)(28, 143)(29, 171)(30, 173)(31, 172)(32, 145)(33, 150)(34, 146)(35, 176)(36, 177)(37, 151)(38, 156)(39, 178)(40, 155)(41, 183)(42, 185)(43, 184)(44, 157)(45, 162)(46, 158)(47, 188)(48, 189)(49, 163)(50, 168)(51, 181)(52, 167)(53, 180)(54, 191)(55, 179)(56, 169)(57, 174)(58, 170)(59, 192)(60, 190)(61, 175)(62, 187)(63, 186)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.1552
Graph:: bipartite
	v = 34 e = 128 f = 40
	degree seq :: [ 4^32, 64^2 ]

E28.1558 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 64, 64})
Quotient :: edge
Aut^+ = C64 (small group id <64, 1>)
Aut   = $<128, 161>$ (small group id <128, 161>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^8, T1 * T2^8, (T1^-1 * T2^-1)^64 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 39, 24, 12, 4, 10, 20, 34, 48, 52, 38, 23, 11, 21, 35, 49, 58, 60, 51, 37, 22, 36, 50, 59, 64, 62, 54, 42, 26, 41, 53, 61, 63, 56, 44, 28, 14, 27, 43, 55, 57, 46, 30, 16, 6, 15, 29, 45, 47, 32, 18, 8, 2, 7, 17, 31, 40, 25, 13, 5)(65, 66, 70, 78, 90, 86, 75, 68)(67, 71, 79, 91, 105, 100, 85, 74)(69, 72, 80, 92, 106, 101, 87, 76)(73, 81, 93, 107, 117, 114, 99, 84)(77, 82, 94, 108, 118, 115, 102, 88)(83, 95, 109, 119, 125, 123, 113, 98)(89, 96, 110, 120, 126, 124, 116, 103)(97, 104, 111, 121, 127, 128, 122, 112)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 128^8 ), ( 128^64 ) }
Outer automorphisms :: reflexible
Dual of E28.1566
Transitivity :: ET+
Graph:: bipartite
	v = 9 e = 64 f = 1
	degree seq :: [ 8^8, 64 ]

E28.1559 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 64, 64})
Quotient :: edge
Aut^+ = C64 (small group id <64, 1>)
Aut   = $<128, 161>$ (small group id <128, 161>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1^-1, T2^-1), T1^8, T1^8, T1^-3 * T2^8, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 49, 44, 28, 14, 27, 43, 59, 63, 54, 38, 23, 11, 21, 35, 51, 48, 32, 18, 8, 2, 7, 17, 31, 47, 61, 58, 42, 26, 41, 57, 64, 55, 39, 24, 12, 4, 10, 20, 34, 50, 46, 30, 16, 6, 15, 29, 45, 60, 62, 53, 37, 22, 36, 52, 56, 40, 25, 13, 5)(65, 66, 70, 78, 90, 86, 75, 68)(67, 71, 79, 91, 105, 100, 85, 74)(69, 72, 80, 92, 106, 101, 87, 76)(73, 81, 93, 107, 121, 116, 99, 84)(77, 82, 94, 108, 122, 117, 102, 88)(83, 95, 109, 123, 128, 120, 115, 98)(89, 96, 110, 113, 125, 126, 118, 103)(97, 111, 124, 127, 119, 104, 112, 114)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 128^8 ), ( 128^64 ) }
Outer automorphisms :: reflexible
Dual of E28.1567
Transitivity :: ET+
Graph:: bipartite
	v = 9 e = 64 f = 1
	degree seq :: [ 8^8, 64 ]

E28.1560 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 64, 64})
Quotient :: edge
Aut^+ = C64 (small group id <64, 1>)
Aut   = $<128, 161>$ (small group id <128, 161>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^8, T2^-8 * T1, (T1^-1 * T2^-1)^64 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 32, 18, 8, 2, 7, 17, 31, 47, 46, 30, 16, 6, 15, 29, 45, 57, 56, 44, 28, 14, 27, 43, 55, 63, 62, 54, 42, 26, 41, 53, 61, 64, 59, 50, 37, 22, 36, 49, 58, 60, 51, 38, 23, 11, 21, 35, 48, 52, 39, 24, 12, 4, 10, 20, 34, 40, 25, 13, 5)(65, 66, 70, 78, 90, 86, 75, 68)(67, 71, 79, 91, 105, 100, 85, 74)(69, 72, 80, 92, 106, 101, 87, 76)(73, 81, 93, 107, 117, 113, 99, 84)(77, 82, 94, 108, 118, 114, 102, 88)(83, 95, 109, 119, 125, 122, 112, 98)(89, 96, 110, 120, 126, 123, 115, 103)(97, 111, 121, 127, 128, 124, 116, 104)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 128^8 ), ( 128^64 ) }
Outer automorphisms :: reflexible
Dual of E28.1564
Transitivity :: ET+
Graph:: bipartite
	v = 9 e = 64 f = 1
	degree seq :: [ 8^8, 64 ]

E28.1561 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 64, 64})
Quotient :: edge
Aut^+ = C64 (small group id <64, 1>)
Aut   = $<128, 161>$ (small group id <128, 161>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-8, T1^8, T1^3 * T2^8, T1 * T2^-1 * T1 * T2^-3 * T1^2 * T2^-4 * T1, (T1^-1 * T2^-1)^64 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 49, 53, 37, 22, 36, 52, 64, 60, 46, 30, 16, 6, 15, 29, 45, 55, 39, 24, 12, 4, 10, 20, 34, 50, 62, 58, 42, 26, 41, 57, 61, 48, 32, 18, 8, 2, 7, 17, 31, 47, 54, 38, 23, 11, 21, 35, 51, 63, 59, 44, 28, 14, 27, 43, 56, 40, 25, 13, 5)(65, 66, 70, 78, 90, 86, 75, 68)(67, 71, 79, 91, 105, 100, 85, 74)(69, 72, 80, 92, 106, 101, 87, 76)(73, 81, 93, 107, 121, 116, 99, 84)(77, 82, 94, 108, 122, 117, 102, 88)(83, 95, 109, 120, 125, 128, 115, 98)(89, 96, 110, 123, 126, 113, 118, 103)(97, 111, 119, 104, 112, 124, 127, 114)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 128^8 ), ( 128^64 ) }
Outer automorphisms :: reflexible
Dual of E28.1565
Transitivity :: ET+
Graph:: bipartite
	v = 9 e = 64 f = 1
	degree seq :: [ 8^8, 64 ]

E28.1562 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 64, 64})
Quotient :: edge
Aut^+ = C64 (small group id <64, 1>)
Aut   = $<128, 161>$ (small group id <128, 161>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-2 * T2 * T1^-5, T1^-1 * T2^-4 * T1 * T2^4, T2 * T1 * T2^8, (T1^-1 * T2^-1)^8 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 47, 38, 24, 12, 4, 10, 20, 34, 48, 57, 51, 37, 23, 11, 21, 35, 49, 58, 63, 59, 50, 36, 22, 26, 40, 52, 60, 64, 62, 54, 42, 28, 14, 27, 41, 53, 61, 56, 44, 30, 16, 6, 15, 29, 43, 55, 46, 32, 18, 8, 2, 7, 17, 31, 45, 39, 25, 13, 5)(65, 66, 70, 78, 90, 85, 74, 67, 71, 79, 91, 104, 99, 84, 73, 81, 93, 105, 116, 113, 98, 83, 95, 107, 117, 124, 122, 112, 97, 109, 119, 125, 128, 127, 121, 111, 103, 110, 120, 126, 123, 115, 102, 89, 96, 108, 118, 114, 101, 88, 77, 82, 94, 106, 100, 87, 76, 69, 72, 80, 92, 86, 75, 68)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^64 ) }
Outer automorphisms :: reflexible
Dual of E28.1568
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 64 f = 8
	degree seq :: [ 64^2 ]

E28.1563 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 64, 64})
Quotient :: edge
Aut^+ = C64 (small group id <64, 1>)
Aut   = $<128, 161>$ (small group id <128, 161>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2^-1, T1), T2^-2 * T1 * T2^-1 * T1^2 * T2^-2, T2^2 * T1^2 * T2^2 * T1^-5 * T2, T1^-1 * T2^-1 * T1^-1 * T2^-2 * T1^-9, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 28, 14, 27, 41, 52, 60, 48, 59, 55, 44, 53, 47, 36, 23, 11, 21, 32, 18, 8, 2, 7, 17, 31, 40, 26, 39, 51, 62, 64, 58, 56, 45, 34, 43, 37, 24, 12, 4, 10, 20, 30, 16, 6, 15, 29, 42, 50, 38, 49, 61, 54, 63, 57, 46, 35, 22, 33, 25, 13, 5)(65, 66, 70, 78, 90, 102, 112, 122, 121, 111, 101, 89, 96, 84, 73, 81, 93, 105, 115, 125, 119, 109, 99, 87, 76, 69, 72, 80, 92, 104, 114, 124, 128, 127, 117, 107, 97, 85, 74, 67, 71, 79, 91, 103, 113, 123, 120, 110, 100, 88, 77, 82, 94, 83, 95, 106, 116, 126, 118, 108, 98, 86, 75, 68)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^64 ) }
Outer automorphisms :: reflexible
Dual of E28.1569
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 64 f = 8
	degree seq :: [ 64^2 ]

E28.1564 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 64, 64})
Quotient :: loop
Aut^+ = C64 (small group id <64, 1>)
Aut   = $<128, 161>$ (small group id <128, 161>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^8, T1 * T2^8, (T1^-1 * T2^-1)^64 ]
Map:: non-degenerate
	R = (1, 65, 3, 67, 9, 73, 19, 83, 33, 97, 39, 103, 24, 88, 12, 76, 4, 68, 10, 74, 20, 84, 34, 98, 48, 112, 52, 116, 38, 102, 23, 87, 11, 75, 21, 85, 35, 99, 49, 113, 58, 122, 60, 124, 51, 115, 37, 101, 22, 86, 36, 100, 50, 114, 59, 123, 64, 128, 62, 126, 54, 118, 42, 106, 26, 90, 41, 105, 53, 117, 61, 125, 63, 127, 56, 120, 44, 108, 28, 92, 14, 78, 27, 91, 43, 107, 55, 119, 57, 121, 46, 110, 30, 94, 16, 80, 6, 70, 15, 79, 29, 93, 45, 109, 47, 111, 32, 96, 18, 82, 8, 72, 2, 66, 7, 71, 17, 81, 31, 95, 40, 104, 25, 89, 13, 77, 5, 69)
	L = (1, 66)(2, 70)(3, 71)(4, 65)(5, 72)(6, 78)(7, 79)(8, 80)(9, 81)(10, 67)(11, 68)(12, 69)(13, 82)(14, 90)(15, 91)(16, 92)(17, 93)(18, 94)(19, 95)(20, 73)(21, 74)(22, 75)(23, 76)(24, 77)(25, 96)(26, 86)(27, 105)(28, 106)(29, 107)(30, 108)(31, 109)(32, 110)(33, 104)(34, 83)(35, 84)(36, 85)(37, 87)(38, 88)(39, 89)(40, 111)(41, 100)(42, 101)(43, 117)(44, 118)(45, 119)(46, 120)(47, 121)(48, 97)(49, 98)(50, 99)(51, 102)(52, 103)(53, 114)(54, 115)(55, 125)(56, 126)(57, 127)(58, 112)(59, 113)(60, 116)(61, 123)(62, 124)(63, 128)(64, 122)
	local type(s) :: { ( 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64 ) }
Outer automorphisms :: reflexible
Dual of E28.1560
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 64 f = 9
	degree seq :: [ 128 ]

E28.1565 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 64, 64})
Quotient :: loop
Aut^+ = C64 (small group id <64, 1>)
Aut   = $<128, 161>$ (small group id <128, 161>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1^-1, T2^-1), T1^8, T1^8, T1^-3 * T2^8, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 65, 3, 67, 9, 73, 19, 83, 33, 97, 49, 113, 44, 108, 28, 92, 14, 78, 27, 91, 43, 107, 59, 123, 63, 127, 54, 118, 38, 102, 23, 87, 11, 75, 21, 85, 35, 99, 51, 115, 48, 112, 32, 96, 18, 82, 8, 72, 2, 66, 7, 71, 17, 81, 31, 95, 47, 111, 61, 125, 58, 122, 42, 106, 26, 90, 41, 105, 57, 121, 64, 128, 55, 119, 39, 103, 24, 88, 12, 76, 4, 68, 10, 74, 20, 84, 34, 98, 50, 114, 46, 110, 30, 94, 16, 80, 6, 70, 15, 79, 29, 93, 45, 109, 60, 124, 62, 126, 53, 117, 37, 101, 22, 86, 36, 100, 52, 116, 56, 120, 40, 104, 25, 89, 13, 77, 5, 69)
	L = (1, 66)(2, 70)(3, 71)(4, 65)(5, 72)(6, 78)(7, 79)(8, 80)(9, 81)(10, 67)(11, 68)(12, 69)(13, 82)(14, 90)(15, 91)(16, 92)(17, 93)(18, 94)(19, 95)(20, 73)(21, 74)(22, 75)(23, 76)(24, 77)(25, 96)(26, 86)(27, 105)(28, 106)(29, 107)(30, 108)(31, 109)(32, 110)(33, 111)(34, 83)(35, 84)(36, 85)(37, 87)(38, 88)(39, 89)(40, 112)(41, 100)(42, 101)(43, 121)(44, 122)(45, 123)(46, 113)(47, 124)(48, 114)(49, 125)(50, 97)(51, 98)(52, 99)(53, 102)(54, 103)(55, 104)(56, 115)(57, 116)(58, 117)(59, 128)(60, 127)(61, 126)(62, 118)(63, 119)(64, 120)
	local type(s) :: { ( 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64 ) }
Outer automorphisms :: reflexible
Dual of E28.1561
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 64 f = 9
	degree seq :: [ 128 ]

E28.1566 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 64, 64})
Quotient :: loop
Aut^+ = C64 (small group id <64, 1>)
Aut   = $<128, 161>$ (small group id <128, 161>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^8, T2^-8 * T1, (T1^-1 * T2^-1)^64 ]
Map:: non-degenerate
	R = (1, 65, 3, 67, 9, 73, 19, 83, 33, 97, 32, 96, 18, 82, 8, 72, 2, 66, 7, 71, 17, 81, 31, 95, 47, 111, 46, 110, 30, 94, 16, 80, 6, 70, 15, 79, 29, 93, 45, 109, 57, 121, 56, 120, 44, 108, 28, 92, 14, 78, 27, 91, 43, 107, 55, 119, 63, 127, 62, 126, 54, 118, 42, 106, 26, 90, 41, 105, 53, 117, 61, 125, 64, 128, 59, 123, 50, 114, 37, 101, 22, 86, 36, 100, 49, 113, 58, 122, 60, 124, 51, 115, 38, 102, 23, 87, 11, 75, 21, 85, 35, 99, 48, 112, 52, 116, 39, 103, 24, 88, 12, 76, 4, 68, 10, 74, 20, 84, 34, 98, 40, 104, 25, 89, 13, 77, 5, 69)
	L = (1, 66)(2, 70)(3, 71)(4, 65)(5, 72)(6, 78)(7, 79)(8, 80)(9, 81)(10, 67)(11, 68)(12, 69)(13, 82)(14, 90)(15, 91)(16, 92)(17, 93)(18, 94)(19, 95)(20, 73)(21, 74)(22, 75)(23, 76)(24, 77)(25, 96)(26, 86)(27, 105)(28, 106)(29, 107)(30, 108)(31, 109)(32, 110)(33, 111)(34, 83)(35, 84)(36, 85)(37, 87)(38, 88)(39, 89)(40, 97)(41, 100)(42, 101)(43, 117)(44, 118)(45, 119)(46, 120)(47, 121)(48, 98)(49, 99)(50, 102)(51, 103)(52, 104)(53, 113)(54, 114)(55, 125)(56, 126)(57, 127)(58, 112)(59, 115)(60, 116)(61, 122)(62, 123)(63, 128)(64, 124)
	local type(s) :: { ( 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64 ) }
Outer automorphisms :: reflexible
Dual of E28.1558
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 64 f = 9
	degree seq :: [ 128 ]

E28.1567 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 64, 64})
Quotient :: loop
Aut^+ = C64 (small group id <64, 1>)
Aut   = $<128, 161>$ (small group id <128, 161>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-8, T1^8, T1^3 * T2^8, T1 * T2^-1 * T1 * T2^-3 * T1^2 * T2^-4 * T1, (T1^-1 * T2^-1)^64 ]
Map:: non-degenerate
	R = (1, 65, 3, 67, 9, 73, 19, 83, 33, 97, 49, 113, 53, 117, 37, 101, 22, 86, 36, 100, 52, 116, 64, 128, 60, 124, 46, 110, 30, 94, 16, 80, 6, 70, 15, 79, 29, 93, 45, 109, 55, 119, 39, 103, 24, 88, 12, 76, 4, 68, 10, 74, 20, 84, 34, 98, 50, 114, 62, 126, 58, 122, 42, 106, 26, 90, 41, 105, 57, 121, 61, 125, 48, 112, 32, 96, 18, 82, 8, 72, 2, 66, 7, 71, 17, 81, 31, 95, 47, 111, 54, 118, 38, 102, 23, 87, 11, 75, 21, 85, 35, 99, 51, 115, 63, 127, 59, 123, 44, 108, 28, 92, 14, 78, 27, 91, 43, 107, 56, 120, 40, 104, 25, 89, 13, 77, 5, 69)
	L = (1, 66)(2, 70)(3, 71)(4, 65)(5, 72)(6, 78)(7, 79)(8, 80)(9, 81)(10, 67)(11, 68)(12, 69)(13, 82)(14, 90)(15, 91)(16, 92)(17, 93)(18, 94)(19, 95)(20, 73)(21, 74)(22, 75)(23, 76)(24, 77)(25, 96)(26, 86)(27, 105)(28, 106)(29, 107)(30, 108)(31, 109)(32, 110)(33, 111)(34, 83)(35, 84)(36, 85)(37, 87)(38, 88)(39, 89)(40, 112)(41, 100)(42, 101)(43, 121)(44, 122)(45, 120)(46, 123)(47, 119)(48, 124)(49, 118)(50, 97)(51, 98)(52, 99)(53, 102)(54, 103)(55, 104)(56, 125)(57, 116)(58, 117)(59, 126)(60, 127)(61, 128)(62, 113)(63, 114)(64, 115)
	local type(s) :: { ( 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64, 8, 64 ) }
Outer automorphisms :: reflexible
Dual of E28.1559
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 64 f = 9
	degree seq :: [ 128 ]

E28.1568 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 64, 64})
Quotient :: loop
Aut^+ = C64 (small group id <64, 1>)
Aut   = $<128, 161>$ (small group id <128, 161>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^8, T1^8 * T2^-1, (T1^-1 * T2^-1)^64 ]
Map:: non-degenerate
	R = (1, 65, 3, 67, 9, 73, 19, 83, 33, 97, 25, 89, 13, 77, 5, 69)(2, 66, 7, 71, 17, 81, 31, 95, 46, 110, 32, 96, 18, 82, 8, 72)(4, 68, 10, 74, 20, 84, 34, 98, 47, 111, 40, 104, 24, 88, 12, 76)(6, 70, 15, 79, 29, 93, 44, 108, 56, 120, 45, 109, 30, 94, 16, 80)(11, 75, 21, 85, 35, 99, 48, 112, 57, 121, 52, 116, 39, 103, 23, 87)(14, 78, 27, 91, 42, 106, 54, 118, 62, 126, 55, 119, 43, 107, 28, 92)(22, 86, 36, 100, 49, 113, 58, 122, 63, 127, 60, 124, 51, 115, 38, 102)(26, 90, 41, 105, 53, 117, 61, 125, 64, 128, 59, 123, 50, 114, 37, 101)
	L = (1, 66)(2, 70)(3, 71)(4, 65)(5, 72)(6, 78)(7, 79)(8, 80)(9, 81)(10, 67)(11, 68)(12, 69)(13, 82)(14, 90)(15, 91)(16, 92)(17, 93)(18, 94)(19, 95)(20, 73)(21, 74)(22, 75)(23, 76)(24, 77)(25, 96)(26, 100)(27, 105)(28, 101)(29, 106)(30, 107)(31, 108)(32, 109)(33, 110)(34, 83)(35, 84)(36, 85)(37, 86)(38, 87)(39, 88)(40, 89)(41, 113)(42, 117)(43, 114)(44, 118)(45, 119)(46, 120)(47, 97)(48, 98)(49, 99)(50, 102)(51, 103)(52, 104)(53, 122)(54, 125)(55, 123)(56, 126)(57, 111)(58, 112)(59, 115)(60, 116)(61, 127)(62, 128)(63, 121)(64, 124)
	local type(s) :: { ( 64^16 ) }
Outer automorphisms :: reflexible
Dual of E28.1562
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 64 f = 2
	degree seq :: [ 16^8 ]

E28.1569 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 64, 64})
Quotient :: loop
Aut^+ = C64 (small group id <64, 1>)
Aut   = $<128, 161>$ (small group id <128, 161>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T2)^2, (F * T1)^2, T2^-8, T2^8, T2^3 * T1^8, T2^-2 * T1^4 * T2^-3 * T1^4, T1^2 * T2^-1 * T1 * T2^-1 * T1^4 * T2^-3 * T1, T2^-2 * T1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 65, 3, 67, 9, 73, 19, 83, 33, 97, 25, 89, 13, 77, 5, 69)(2, 66, 7, 71, 17, 81, 31, 95, 48, 112, 32, 96, 18, 82, 8, 72)(4, 68, 10, 74, 20, 84, 34, 98, 49, 113, 40, 104, 24, 88, 12, 76)(6, 70, 15, 79, 29, 93, 46, 110, 60, 124, 47, 111, 30, 94, 16, 80)(11, 75, 21, 85, 35, 99, 50, 114, 61, 125, 56, 120, 39, 103, 23, 87)(14, 78, 27, 91, 44, 108, 53, 117, 64, 128, 59, 123, 45, 109, 28, 92)(22, 86, 36, 100, 51, 115, 62, 126, 57, 121, 41, 105, 55, 119, 38, 102)(26, 90, 42, 106, 54, 118, 37, 101, 52, 116, 63, 127, 58, 122, 43, 107)
	L = (1, 66)(2, 70)(3, 71)(4, 65)(5, 72)(6, 78)(7, 79)(8, 80)(9, 81)(10, 67)(11, 68)(12, 69)(13, 82)(14, 90)(15, 91)(16, 92)(17, 93)(18, 94)(19, 95)(20, 73)(21, 74)(22, 75)(23, 76)(24, 77)(25, 96)(26, 105)(27, 106)(28, 107)(29, 108)(30, 109)(31, 110)(32, 111)(33, 112)(34, 83)(35, 84)(36, 85)(37, 86)(38, 87)(39, 88)(40, 89)(41, 120)(42, 119)(43, 121)(44, 118)(45, 122)(46, 117)(47, 123)(48, 124)(49, 97)(50, 98)(51, 99)(52, 100)(53, 101)(54, 102)(55, 103)(56, 104)(57, 125)(58, 126)(59, 127)(60, 128)(61, 113)(62, 114)(63, 115)(64, 116)
	local type(s) :: { ( 64^16 ) }
Outer automorphisms :: reflexible
Dual of E28.1563
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 64 f = 2
	degree seq :: [ 16^8 ]

E28.1570 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 64, 64})
Quotient :: dipole
Aut^+ = C64 (small group id <64, 1>)
Aut   = $<128, 161>$ (small group id <128, 161>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (Y2, Y1^-1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y3^-1, Y2^-1), Y3^8, Y1^8, Y3^-1 * Y2^8, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 14, 78, 26, 90, 22, 86, 11, 75, 4, 68)(3, 67, 7, 71, 15, 79, 27, 91, 41, 105, 36, 100, 21, 85, 10, 74)(5, 69, 8, 72, 16, 80, 28, 92, 42, 106, 37, 101, 23, 87, 12, 76)(9, 73, 17, 81, 29, 93, 43, 107, 53, 117, 50, 114, 35, 99, 20, 84)(13, 77, 18, 82, 30, 94, 44, 108, 54, 118, 51, 115, 38, 102, 24, 88)(19, 83, 31, 95, 45, 109, 55, 119, 61, 125, 59, 123, 49, 113, 34, 98)(25, 89, 32, 96, 46, 110, 56, 120, 62, 126, 60, 124, 52, 116, 39, 103)(33, 97, 40, 104, 47, 111, 57, 121, 63, 127, 64, 128, 58, 122, 48, 112)(129, 193, 131, 195, 137, 201, 147, 211, 161, 225, 167, 231, 152, 216, 140, 204, 132, 196, 138, 202, 148, 212, 162, 226, 176, 240, 180, 244, 166, 230, 151, 215, 139, 203, 149, 213, 163, 227, 177, 241, 186, 250, 188, 252, 179, 243, 165, 229, 150, 214, 164, 228, 178, 242, 187, 251, 192, 256, 190, 254, 182, 246, 170, 234, 154, 218, 169, 233, 181, 245, 189, 253, 191, 255, 184, 248, 172, 236, 156, 220, 142, 206, 155, 219, 171, 235, 183, 247, 185, 249, 174, 238, 158, 222, 144, 208, 134, 198, 143, 207, 157, 221, 173, 237, 175, 239, 160, 224, 146, 210, 136, 200, 130, 194, 135, 199, 145, 209, 159, 223, 168, 232, 153, 217, 141, 205, 133, 197)
	L = (1, 132)(2, 129)(3, 138)(4, 139)(5, 140)(6, 130)(7, 131)(8, 133)(9, 148)(10, 149)(11, 150)(12, 151)(13, 152)(14, 134)(15, 135)(16, 136)(17, 137)(18, 141)(19, 162)(20, 163)(21, 164)(22, 154)(23, 165)(24, 166)(25, 167)(26, 142)(27, 143)(28, 144)(29, 145)(30, 146)(31, 147)(32, 153)(33, 176)(34, 177)(35, 178)(36, 169)(37, 170)(38, 179)(39, 180)(40, 161)(41, 155)(42, 156)(43, 157)(44, 158)(45, 159)(46, 160)(47, 168)(48, 186)(49, 187)(50, 181)(51, 182)(52, 188)(53, 171)(54, 172)(55, 173)(56, 174)(57, 175)(58, 192)(59, 189)(60, 190)(61, 183)(62, 184)(63, 185)(64, 191)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128 ), ( 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128 ) }
Outer automorphisms :: reflexible
Dual of E28.1578
Graph:: bipartite
	v = 9 e = 128 f = 65
	degree seq :: [ 16^8, 128 ]

E28.1571 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 64, 64})
Quotient :: dipole
Aut^+ = C64 (small group id <64, 1>)
Aut   = $<128, 161>$ (small group id <128, 161>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y2, Y1^-1), Y1 * Y2^-2 * Y3 * Y1^-1 * Y2^2 * Y1, Y3^8, Y1^6 * Y3^-2, Y2^-1 * Y1 * Y2^-3 * Y1 * Y3^-1 * Y2^-4, Y2^-64 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 14, 78, 26, 90, 22, 86, 11, 75, 4, 68)(3, 67, 7, 71, 15, 79, 27, 91, 41, 105, 36, 100, 21, 85, 10, 74)(5, 69, 8, 72, 16, 80, 28, 92, 42, 106, 37, 101, 23, 87, 12, 76)(9, 73, 17, 81, 29, 93, 43, 107, 57, 121, 52, 116, 35, 99, 20, 84)(13, 77, 18, 82, 30, 94, 44, 108, 58, 122, 53, 117, 38, 102, 24, 88)(19, 83, 31, 95, 45, 109, 59, 123, 64, 128, 56, 120, 51, 115, 34, 98)(25, 89, 32, 96, 46, 110, 49, 113, 61, 125, 62, 126, 54, 118, 39, 103)(33, 97, 47, 111, 60, 124, 63, 127, 55, 119, 40, 104, 48, 112, 50, 114)(129, 193, 131, 195, 137, 201, 147, 211, 161, 225, 177, 241, 172, 236, 156, 220, 142, 206, 155, 219, 171, 235, 187, 251, 191, 255, 182, 246, 166, 230, 151, 215, 139, 203, 149, 213, 163, 227, 179, 243, 176, 240, 160, 224, 146, 210, 136, 200, 130, 194, 135, 199, 145, 209, 159, 223, 175, 239, 189, 253, 186, 250, 170, 234, 154, 218, 169, 233, 185, 249, 192, 256, 183, 247, 167, 231, 152, 216, 140, 204, 132, 196, 138, 202, 148, 212, 162, 226, 178, 242, 174, 238, 158, 222, 144, 208, 134, 198, 143, 207, 157, 221, 173, 237, 188, 252, 190, 254, 181, 245, 165, 229, 150, 214, 164, 228, 180, 244, 184, 248, 168, 232, 153, 217, 141, 205, 133, 197)
	L = (1, 132)(2, 129)(3, 138)(4, 139)(5, 140)(6, 130)(7, 131)(8, 133)(9, 148)(10, 149)(11, 150)(12, 151)(13, 152)(14, 134)(15, 135)(16, 136)(17, 137)(18, 141)(19, 162)(20, 163)(21, 164)(22, 154)(23, 165)(24, 166)(25, 167)(26, 142)(27, 143)(28, 144)(29, 145)(30, 146)(31, 147)(32, 153)(33, 178)(34, 179)(35, 180)(36, 169)(37, 170)(38, 181)(39, 182)(40, 183)(41, 155)(42, 156)(43, 157)(44, 158)(45, 159)(46, 160)(47, 161)(48, 168)(49, 174)(50, 176)(51, 184)(52, 185)(53, 186)(54, 190)(55, 191)(56, 192)(57, 171)(58, 172)(59, 173)(60, 175)(61, 177)(62, 189)(63, 188)(64, 187)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128 ), ( 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128 ) }
Outer automorphisms :: reflexible
Dual of E28.1579
Graph:: bipartite
	v = 9 e = 128 f = 65
	degree seq :: [ 16^8, 128 ]

E28.1572 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 64, 64})
Quotient :: dipole
Aut^+ = C64 (small group id <64, 1>)
Aut   = $<128, 161>$ (small group id <128, 161>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y1)^2, (R * Y3)^2, (Y2, Y1^-1), (R * Y2)^2, (Y3^-1, Y2^-1), Y1^8, Y3^8, Y1^4 * Y3^-4, Y3 * Y2^8, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 14, 78, 26, 90, 22, 86, 11, 75, 4, 68)(3, 67, 7, 71, 15, 79, 27, 91, 41, 105, 36, 100, 21, 85, 10, 74)(5, 69, 8, 72, 16, 80, 28, 92, 42, 106, 37, 101, 23, 87, 12, 76)(9, 73, 17, 81, 29, 93, 43, 107, 53, 117, 49, 113, 35, 99, 20, 84)(13, 77, 18, 82, 30, 94, 44, 108, 54, 118, 50, 114, 38, 102, 24, 88)(19, 83, 31, 95, 45, 109, 55, 119, 61, 125, 58, 122, 48, 112, 34, 98)(25, 89, 32, 96, 46, 110, 56, 120, 62, 126, 59, 123, 51, 115, 39, 103)(33, 97, 47, 111, 57, 121, 63, 127, 64, 128, 60, 124, 52, 116, 40, 104)(129, 193, 131, 195, 137, 201, 147, 211, 161, 225, 160, 224, 146, 210, 136, 200, 130, 194, 135, 199, 145, 209, 159, 223, 175, 239, 174, 238, 158, 222, 144, 208, 134, 198, 143, 207, 157, 221, 173, 237, 185, 249, 184, 248, 172, 236, 156, 220, 142, 206, 155, 219, 171, 235, 183, 247, 191, 255, 190, 254, 182, 246, 170, 234, 154, 218, 169, 233, 181, 245, 189, 253, 192, 256, 187, 251, 178, 242, 165, 229, 150, 214, 164, 228, 177, 241, 186, 250, 188, 252, 179, 243, 166, 230, 151, 215, 139, 203, 149, 213, 163, 227, 176, 240, 180, 244, 167, 231, 152, 216, 140, 204, 132, 196, 138, 202, 148, 212, 162, 226, 168, 232, 153, 217, 141, 205, 133, 197)
	L = (1, 132)(2, 129)(3, 138)(4, 139)(5, 140)(6, 130)(7, 131)(8, 133)(9, 148)(10, 149)(11, 150)(12, 151)(13, 152)(14, 134)(15, 135)(16, 136)(17, 137)(18, 141)(19, 162)(20, 163)(21, 164)(22, 154)(23, 165)(24, 166)(25, 167)(26, 142)(27, 143)(28, 144)(29, 145)(30, 146)(31, 147)(32, 153)(33, 168)(34, 176)(35, 177)(36, 169)(37, 170)(38, 178)(39, 179)(40, 180)(41, 155)(42, 156)(43, 157)(44, 158)(45, 159)(46, 160)(47, 161)(48, 186)(49, 181)(50, 182)(51, 187)(52, 188)(53, 171)(54, 172)(55, 173)(56, 174)(57, 175)(58, 189)(59, 190)(60, 192)(61, 183)(62, 184)(63, 185)(64, 191)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128 ), ( 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128 ) }
Outer automorphisms :: reflexible
Dual of E28.1580
Graph:: bipartite
	v = 9 e = 128 f = 65
	degree seq :: [ 16^8, 128 ]

E28.1573 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 64, 64})
Quotient :: dipole
Aut^+ = C64 (small group id <64, 1>)
Aut   = $<128, 161>$ (small group id <128, 161>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y1 * Y3, Y3^-2 * Y1^-2, (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y2^-1), (R * Y1)^2, (Y2, Y1^-1), Y1^-8, Y1^8, Y2^8 * Y1^3, Y1^3 * Y2^-1 * Y1 * Y2^-2 * Y3^-1 * Y2^-5, (Y1^-1 * Y3^2)^8, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 14, 78, 26, 90, 22, 86, 11, 75, 4, 68)(3, 67, 7, 71, 15, 79, 27, 91, 41, 105, 36, 100, 21, 85, 10, 74)(5, 69, 8, 72, 16, 80, 28, 92, 42, 106, 37, 101, 23, 87, 12, 76)(9, 73, 17, 81, 29, 93, 43, 107, 57, 121, 52, 116, 35, 99, 20, 84)(13, 77, 18, 82, 30, 94, 44, 108, 58, 122, 53, 117, 38, 102, 24, 88)(19, 83, 31, 95, 45, 109, 56, 120, 61, 125, 64, 128, 51, 115, 34, 98)(25, 89, 32, 96, 46, 110, 59, 123, 62, 126, 49, 113, 54, 118, 39, 103)(33, 97, 47, 111, 55, 119, 40, 104, 48, 112, 60, 124, 63, 127, 50, 114)(129, 193, 131, 195, 137, 201, 147, 211, 161, 225, 177, 241, 181, 245, 165, 229, 150, 214, 164, 228, 180, 244, 192, 256, 188, 252, 174, 238, 158, 222, 144, 208, 134, 198, 143, 207, 157, 221, 173, 237, 183, 247, 167, 231, 152, 216, 140, 204, 132, 196, 138, 202, 148, 212, 162, 226, 178, 242, 190, 254, 186, 250, 170, 234, 154, 218, 169, 233, 185, 249, 189, 253, 176, 240, 160, 224, 146, 210, 136, 200, 130, 194, 135, 199, 145, 209, 159, 223, 175, 239, 182, 246, 166, 230, 151, 215, 139, 203, 149, 213, 163, 227, 179, 243, 191, 255, 187, 251, 172, 236, 156, 220, 142, 206, 155, 219, 171, 235, 184, 248, 168, 232, 153, 217, 141, 205, 133, 197)
	L = (1, 132)(2, 129)(3, 138)(4, 139)(5, 140)(6, 130)(7, 131)(8, 133)(9, 148)(10, 149)(11, 150)(12, 151)(13, 152)(14, 134)(15, 135)(16, 136)(17, 137)(18, 141)(19, 162)(20, 163)(21, 164)(22, 154)(23, 165)(24, 166)(25, 167)(26, 142)(27, 143)(28, 144)(29, 145)(30, 146)(31, 147)(32, 153)(33, 178)(34, 179)(35, 180)(36, 169)(37, 170)(38, 181)(39, 182)(40, 183)(41, 155)(42, 156)(43, 157)(44, 158)(45, 159)(46, 160)(47, 161)(48, 168)(49, 190)(50, 191)(51, 192)(52, 185)(53, 186)(54, 177)(55, 175)(56, 173)(57, 171)(58, 172)(59, 174)(60, 176)(61, 184)(62, 187)(63, 188)(64, 189)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128 ), ( 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128, 2, 128 ) }
Outer automorphisms :: reflexible
Dual of E28.1581
Graph:: bipartite
	v = 9 e = 128 f = 65
	degree seq :: [ 16^8, 128 ]

E28.1574 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 64, 64})
Quotient :: dipole
Aut^+ = C64 (small group id <64, 1>)
Aut   = $<128, 161>$ (small group id <128, 161>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (Y1, Y2^-1), Y1^-2 * Y2 * Y1^-5, Y1^-1 * Y2^-4 * Y1 * Y2^4, Y2 * Y1 * Y2^8, (Y3^-1 * Y1^-1)^8 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 14, 78, 26, 90, 21, 85, 10, 74, 3, 67, 7, 71, 15, 79, 27, 91, 40, 104, 35, 99, 20, 84, 9, 73, 17, 81, 29, 93, 41, 105, 52, 116, 49, 113, 34, 98, 19, 83, 31, 95, 43, 107, 53, 117, 60, 124, 58, 122, 48, 112, 33, 97, 45, 109, 55, 119, 61, 125, 64, 128, 63, 127, 57, 121, 47, 111, 39, 103, 46, 110, 56, 120, 62, 126, 59, 123, 51, 115, 38, 102, 25, 89, 32, 96, 44, 108, 54, 118, 50, 114, 37, 101, 24, 88, 13, 77, 18, 82, 30, 94, 42, 106, 36, 100, 23, 87, 12, 76, 5, 69, 8, 72, 16, 80, 28, 92, 22, 86, 11, 75, 4, 68)(129, 193, 131, 195, 137, 201, 147, 211, 161, 225, 175, 239, 166, 230, 152, 216, 140, 204, 132, 196, 138, 202, 148, 212, 162, 226, 176, 240, 185, 249, 179, 243, 165, 229, 151, 215, 139, 203, 149, 213, 163, 227, 177, 241, 186, 250, 191, 255, 187, 251, 178, 242, 164, 228, 150, 214, 154, 218, 168, 232, 180, 244, 188, 252, 192, 256, 190, 254, 182, 246, 170, 234, 156, 220, 142, 206, 155, 219, 169, 233, 181, 245, 189, 253, 184, 248, 172, 236, 158, 222, 144, 208, 134, 198, 143, 207, 157, 221, 171, 235, 183, 247, 174, 238, 160, 224, 146, 210, 136, 200, 130, 194, 135, 199, 145, 209, 159, 223, 173, 237, 167, 231, 153, 217, 141, 205, 133, 197)
	L = (1, 131)(2, 135)(3, 137)(4, 138)(5, 129)(6, 143)(7, 145)(8, 130)(9, 147)(10, 148)(11, 149)(12, 132)(13, 133)(14, 155)(15, 157)(16, 134)(17, 159)(18, 136)(19, 161)(20, 162)(21, 163)(22, 154)(23, 139)(24, 140)(25, 141)(26, 168)(27, 169)(28, 142)(29, 171)(30, 144)(31, 173)(32, 146)(33, 175)(34, 176)(35, 177)(36, 150)(37, 151)(38, 152)(39, 153)(40, 180)(41, 181)(42, 156)(43, 183)(44, 158)(45, 167)(46, 160)(47, 166)(48, 185)(49, 186)(50, 164)(51, 165)(52, 188)(53, 189)(54, 170)(55, 174)(56, 172)(57, 179)(58, 191)(59, 178)(60, 192)(61, 184)(62, 182)(63, 187)(64, 190)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.1576
Graph:: bipartite
	v = 2 e = 128 f = 72
	degree seq :: [ 128^2 ]

E28.1575 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 64, 64})
Quotient :: dipole
Aut^+ = C64 (small group id <64, 1>)
Aut   = $<128, 161>$ (small group id <128, 161>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1), Y2^-2 * Y1 * Y2^-1 * Y1^2 * Y2^-2, Y2^2 * Y1^2 * Y2^2 * Y1^-5 * Y2, Y1^-1 * Y2^-1 * Y1^-1 * Y2^-2 * Y1^-9, (Y3^-1 * Y1^-1)^8 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 14, 78, 26, 90, 38, 102, 48, 112, 58, 122, 57, 121, 47, 111, 37, 101, 25, 89, 32, 96, 20, 84, 9, 73, 17, 81, 29, 93, 41, 105, 51, 115, 61, 125, 55, 119, 45, 109, 35, 99, 23, 87, 12, 76, 5, 69, 8, 72, 16, 80, 28, 92, 40, 104, 50, 114, 60, 124, 64, 128, 63, 127, 53, 117, 43, 107, 33, 97, 21, 85, 10, 74, 3, 67, 7, 71, 15, 79, 27, 91, 39, 103, 49, 113, 59, 123, 56, 120, 46, 110, 36, 100, 24, 88, 13, 77, 18, 82, 30, 94, 19, 83, 31, 95, 42, 106, 52, 116, 62, 126, 54, 118, 44, 108, 34, 98, 22, 86, 11, 75, 4, 68)(129, 193, 131, 195, 137, 201, 147, 211, 156, 220, 142, 206, 155, 219, 169, 233, 180, 244, 188, 252, 176, 240, 187, 251, 183, 247, 172, 236, 181, 245, 175, 239, 164, 228, 151, 215, 139, 203, 149, 213, 160, 224, 146, 210, 136, 200, 130, 194, 135, 199, 145, 209, 159, 223, 168, 232, 154, 218, 167, 231, 179, 243, 190, 254, 192, 256, 186, 250, 184, 248, 173, 237, 162, 226, 171, 235, 165, 229, 152, 216, 140, 204, 132, 196, 138, 202, 148, 212, 158, 222, 144, 208, 134, 198, 143, 207, 157, 221, 170, 234, 178, 242, 166, 230, 177, 241, 189, 253, 182, 246, 191, 255, 185, 249, 174, 238, 163, 227, 150, 214, 161, 225, 153, 217, 141, 205, 133, 197)
	L = (1, 131)(2, 135)(3, 137)(4, 138)(5, 129)(6, 143)(7, 145)(8, 130)(9, 147)(10, 148)(11, 149)(12, 132)(13, 133)(14, 155)(15, 157)(16, 134)(17, 159)(18, 136)(19, 156)(20, 158)(21, 160)(22, 161)(23, 139)(24, 140)(25, 141)(26, 167)(27, 169)(28, 142)(29, 170)(30, 144)(31, 168)(32, 146)(33, 153)(34, 171)(35, 150)(36, 151)(37, 152)(38, 177)(39, 179)(40, 154)(41, 180)(42, 178)(43, 165)(44, 181)(45, 162)(46, 163)(47, 164)(48, 187)(49, 189)(50, 166)(51, 190)(52, 188)(53, 175)(54, 191)(55, 172)(56, 173)(57, 174)(58, 184)(59, 183)(60, 176)(61, 182)(62, 192)(63, 185)(64, 186)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.1577
Graph:: bipartite
	v = 2 e = 128 f = 72
	degree seq :: [ 128^2 ]

E28.1576 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 64, 64})
Quotient :: dipole
Aut^+ = C64 (small group id <64, 1>)
Aut   = $<128, 161>$ (small group id <128, 161>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2, Y3^-1), Y2^8, Y2 * Y3^8, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^64 ]
Map::
	R = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)(129, 193, 130, 194, 134, 198, 142, 206, 154, 218, 150, 214, 139, 203, 132, 196)(131, 195, 135, 199, 143, 207, 155, 219, 169, 233, 164, 228, 149, 213, 138, 202)(133, 197, 136, 200, 144, 208, 156, 220, 170, 234, 165, 229, 151, 215, 140, 204)(137, 201, 145, 209, 157, 221, 171, 235, 181, 245, 178, 242, 163, 227, 148, 212)(141, 205, 146, 210, 158, 222, 172, 236, 182, 246, 179, 243, 166, 230, 152, 216)(147, 211, 159, 223, 173, 237, 183, 247, 189, 253, 187, 251, 177, 241, 162, 226)(153, 217, 160, 224, 174, 238, 184, 248, 190, 254, 188, 252, 180, 244, 167, 231)(161, 225, 168, 232, 175, 239, 185, 249, 191, 255, 192, 256, 186, 250, 176, 240)
	L = (1, 131)(2, 135)(3, 137)(4, 138)(5, 129)(6, 143)(7, 145)(8, 130)(9, 147)(10, 148)(11, 149)(12, 132)(13, 133)(14, 155)(15, 157)(16, 134)(17, 159)(18, 136)(19, 161)(20, 162)(21, 163)(22, 164)(23, 139)(24, 140)(25, 141)(26, 169)(27, 171)(28, 142)(29, 173)(30, 144)(31, 168)(32, 146)(33, 167)(34, 176)(35, 177)(36, 178)(37, 150)(38, 151)(39, 152)(40, 153)(41, 181)(42, 154)(43, 183)(44, 156)(45, 175)(46, 158)(47, 160)(48, 180)(49, 186)(50, 187)(51, 165)(52, 166)(53, 189)(54, 170)(55, 185)(56, 172)(57, 174)(58, 188)(59, 192)(60, 179)(61, 191)(62, 182)(63, 184)(64, 190)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 128, 128 ), ( 128^16 ) }
Outer automorphisms :: reflexible
Dual of E28.1574
Graph:: simple bipartite
	v = 72 e = 128 f = 2
	degree seq :: [ 2^64, 16^8 ]

E28.1577 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 64, 64})
Quotient :: dipole
Aut^+ = C64 (small group id <64, 1>)
Aut   = $<128, 161>$ (small group id <128, 161>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y3^-1), (R * Y2)^2, Y2^8, Y2^8, Y2^-3 * Y3^8, (Y2^-1 * Y3)^64, (Y3^-1 * Y1^-1)^64 ]
Map::
	R = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)(129, 193, 130, 194, 134, 198, 142, 206, 154, 218, 150, 214, 139, 203, 132, 196)(131, 195, 135, 199, 143, 207, 155, 219, 169, 233, 164, 228, 149, 213, 138, 202)(133, 197, 136, 200, 144, 208, 156, 220, 170, 234, 165, 229, 151, 215, 140, 204)(137, 201, 145, 209, 157, 221, 171, 235, 185, 249, 180, 244, 163, 227, 148, 212)(141, 205, 146, 210, 158, 222, 172, 236, 186, 250, 181, 245, 166, 230, 152, 216)(147, 211, 159, 223, 173, 237, 187, 251, 192, 256, 184, 248, 179, 243, 162, 226)(153, 217, 160, 224, 174, 238, 177, 241, 189, 253, 190, 254, 182, 246, 167, 231)(161, 225, 175, 239, 188, 252, 191, 255, 183, 247, 168, 232, 176, 240, 178, 242)
	L = (1, 131)(2, 135)(3, 137)(4, 138)(5, 129)(6, 143)(7, 145)(8, 130)(9, 147)(10, 148)(11, 149)(12, 132)(13, 133)(14, 155)(15, 157)(16, 134)(17, 159)(18, 136)(19, 161)(20, 162)(21, 163)(22, 164)(23, 139)(24, 140)(25, 141)(26, 169)(27, 171)(28, 142)(29, 173)(30, 144)(31, 175)(32, 146)(33, 177)(34, 178)(35, 179)(36, 180)(37, 150)(38, 151)(39, 152)(40, 153)(41, 185)(42, 154)(43, 187)(44, 156)(45, 188)(46, 158)(47, 189)(48, 160)(49, 172)(50, 174)(51, 176)(52, 184)(53, 165)(54, 166)(55, 167)(56, 168)(57, 192)(58, 170)(59, 191)(60, 190)(61, 186)(62, 181)(63, 182)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 128, 128 ), ( 128^16 ) }
Outer automorphisms :: reflexible
Dual of E28.1575
Graph:: simple bipartite
	v = 72 e = 128 f = 2
	degree seq :: [ 2^64, 16^8 ]

E28.1578 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 64, 64})
Quotient :: dipole
Aut^+ = C64 (small group id <64, 1>)
Aut   = $<128, 161>$ (small group id <128, 161>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, Y3^8, Y1^8 * Y3^-1, (Y3 * Y2^-1)^8, (Y1^-1 * Y3^-1)^64 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 14, 78, 26, 90, 36, 100, 21, 85, 10, 74, 3, 67, 7, 71, 15, 79, 27, 91, 41, 105, 49, 113, 35, 99, 20, 84, 9, 73, 17, 81, 29, 93, 42, 106, 53, 117, 58, 122, 48, 112, 34, 98, 19, 83, 31, 95, 44, 108, 54, 118, 61, 125, 63, 127, 57, 121, 47, 111, 33, 97, 46, 110, 56, 120, 62, 126, 64, 128, 60, 124, 52, 116, 40, 104, 25, 89, 32, 96, 45, 109, 55, 119, 59, 123, 51, 115, 39, 103, 24, 88, 13, 77, 18, 82, 30, 94, 43, 107, 50, 114, 38, 102, 23, 87, 12, 76, 5, 69, 8, 72, 16, 80, 28, 92, 37, 101, 22, 86, 11, 75, 4, 68)(129, 193)(130, 194)(131, 195)(132, 196)(133, 197)(134, 198)(135, 199)(136, 200)(137, 201)(138, 202)(139, 203)(140, 204)(141, 205)(142, 206)(143, 207)(144, 208)(145, 209)(146, 210)(147, 211)(148, 212)(149, 213)(150, 214)(151, 215)(152, 216)(153, 217)(154, 218)(155, 219)(156, 220)(157, 221)(158, 222)(159, 223)(160, 224)(161, 225)(162, 226)(163, 227)(164, 228)(165, 229)(166, 230)(167, 231)(168, 232)(169, 233)(170, 234)(171, 235)(172, 236)(173, 237)(174, 238)(175, 239)(176, 240)(177, 241)(178, 242)(179, 243)(180, 244)(181, 245)(182, 246)(183, 247)(184, 248)(185, 249)(186, 250)(187, 251)(188, 252)(189, 253)(190, 254)(191, 255)(192, 256)
	L = (1, 131)(2, 135)(3, 137)(4, 138)(5, 129)(6, 143)(7, 145)(8, 130)(9, 147)(10, 148)(11, 149)(12, 132)(13, 133)(14, 155)(15, 157)(16, 134)(17, 159)(18, 136)(19, 161)(20, 162)(21, 163)(22, 164)(23, 139)(24, 140)(25, 141)(26, 169)(27, 170)(28, 142)(29, 172)(30, 144)(31, 174)(32, 146)(33, 153)(34, 175)(35, 176)(36, 177)(37, 154)(38, 150)(39, 151)(40, 152)(41, 181)(42, 182)(43, 156)(44, 184)(45, 158)(46, 160)(47, 168)(48, 185)(49, 186)(50, 165)(51, 166)(52, 167)(53, 189)(54, 190)(55, 171)(56, 173)(57, 180)(58, 191)(59, 178)(60, 179)(61, 192)(62, 183)(63, 188)(64, 187)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 128 ), ( 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128 ) }
Outer automorphisms :: reflexible
Dual of E28.1570
Graph:: bipartite
	v = 65 e = 128 f = 9
	degree seq :: [ 2^64, 128 ]

E28.1579 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 64, 64})
Quotient :: dipole
Aut^+ = C64 (small group id <64, 1>)
Aut   = $<128, 161>$ (small group id <128, 161>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-8, Y3^3 * Y1^8, Y3^-16, (Y3 * Y2^-1)^8, Y3^24, (Y1^-1 * Y3^-1)^64 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 14, 78, 26, 90, 41, 105, 56, 120, 40, 104, 25, 89, 32, 96, 47, 111, 59, 123, 63, 127, 51, 115, 35, 99, 20, 84, 9, 73, 17, 81, 29, 93, 44, 108, 54, 118, 38, 102, 23, 87, 12, 76, 5, 69, 8, 72, 16, 80, 28, 92, 43, 107, 57, 121, 61, 125, 49, 113, 33, 97, 48, 112, 60, 124, 64, 128, 52, 116, 36, 100, 21, 85, 10, 74, 3, 67, 7, 71, 15, 79, 27, 91, 42, 106, 55, 119, 39, 103, 24, 88, 13, 77, 18, 82, 30, 94, 45, 109, 58, 122, 62, 126, 50, 114, 34, 98, 19, 83, 31, 95, 46, 110, 53, 117, 37, 101, 22, 86, 11, 75, 4, 68)(129, 193)(130, 194)(131, 195)(132, 196)(133, 197)(134, 198)(135, 199)(136, 200)(137, 201)(138, 202)(139, 203)(140, 204)(141, 205)(142, 206)(143, 207)(144, 208)(145, 209)(146, 210)(147, 211)(148, 212)(149, 213)(150, 214)(151, 215)(152, 216)(153, 217)(154, 218)(155, 219)(156, 220)(157, 221)(158, 222)(159, 223)(160, 224)(161, 225)(162, 226)(163, 227)(164, 228)(165, 229)(166, 230)(167, 231)(168, 232)(169, 233)(170, 234)(171, 235)(172, 236)(173, 237)(174, 238)(175, 239)(176, 240)(177, 241)(178, 242)(179, 243)(180, 244)(181, 245)(182, 246)(183, 247)(184, 248)(185, 249)(186, 250)(187, 251)(188, 252)(189, 253)(190, 254)(191, 255)(192, 256)
	L = (1, 131)(2, 135)(3, 137)(4, 138)(5, 129)(6, 143)(7, 145)(8, 130)(9, 147)(10, 148)(11, 149)(12, 132)(13, 133)(14, 155)(15, 157)(16, 134)(17, 159)(18, 136)(19, 161)(20, 162)(21, 163)(22, 164)(23, 139)(24, 140)(25, 141)(26, 170)(27, 172)(28, 142)(29, 174)(30, 144)(31, 176)(32, 146)(33, 153)(34, 177)(35, 178)(36, 179)(37, 180)(38, 150)(39, 151)(40, 152)(41, 183)(42, 182)(43, 154)(44, 181)(45, 156)(46, 188)(47, 158)(48, 160)(49, 168)(50, 189)(51, 190)(52, 191)(53, 192)(54, 165)(55, 166)(56, 167)(57, 169)(58, 171)(59, 173)(60, 175)(61, 184)(62, 185)(63, 186)(64, 187)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 128 ), ( 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128 ) }
Outer automorphisms :: reflexible
Dual of E28.1571
Graph:: bipartite
	v = 65 e = 128 f = 9
	degree seq :: [ 2^64, 128 ]

E28.1580 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 64, 64})
Quotient :: dipole
Aut^+ = C64 (small group id <64, 1>)
Aut   = $<128, 161>$ (small group id <128, 161>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, Y3^8, Y1^8 * Y3, (Y3 * Y2^-1)^8, (Y1^-1 * Y3^-1)^64 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 14, 78, 26, 90, 38, 102, 23, 87, 12, 76, 5, 69, 8, 72, 16, 80, 28, 92, 41, 105, 51, 115, 39, 103, 24, 88, 13, 77, 18, 82, 30, 94, 43, 107, 53, 117, 60, 124, 52, 116, 40, 104, 25, 89, 32, 96, 45, 109, 55, 119, 61, 125, 63, 127, 57, 121, 47, 111, 33, 97, 46, 110, 56, 120, 62, 126, 64, 128, 58, 122, 48, 112, 34, 98, 19, 83, 31, 95, 44, 108, 54, 118, 59, 123, 49, 113, 35, 99, 20, 84, 9, 73, 17, 81, 29, 93, 42, 106, 50, 114, 36, 100, 21, 85, 10, 74, 3, 67, 7, 71, 15, 79, 27, 91, 37, 101, 22, 86, 11, 75, 4, 68)(129, 193)(130, 194)(131, 195)(132, 196)(133, 197)(134, 198)(135, 199)(136, 200)(137, 201)(138, 202)(139, 203)(140, 204)(141, 205)(142, 206)(143, 207)(144, 208)(145, 209)(146, 210)(147, 211)(148, 212)(149, 213)(150, 214)(151, 215)(152, 216)(153, 217)(154, 218)(155, 219)(156, 220)(157, 221)(158, 222)(159, 223)(160, 224)(161, 225)(162, 226)(163, 227)(164, 228)(165, 229)(166, 230)(167, 231)(168, 232)(169, 233)(170, 234)(171, 235)(172, 236)(173, 237)(174, 238)(175, 239)(176, 240)(177, 241)(178, 242)(179, 243)(180, 244)(181, 245)(182, 246)(183, 247)(184, 248)(185, 249)(186, 250)(187, 251)(188, 252)(189, 253)(190, 254)(191, 255)(192, 256)
	L = (1, 131)(2, 135)(3, 137)(4, 138)(5, 129)(6, 143)(7, 145)(8, 130)(9, 147)(10, 148)(11, 149)(12, 132)(13, 133)(14, 155)(15, 157)(16, 134)(17, 159)(18, 136)(19, 161)(20, 162)(21, 163)(22, 164)(23, 139)(24, 140)(25, 141)(26, 165)(27, 170)(28, 142)(29, 172)(30, 144)(31, 174)(32, 146)(33, 153)(34, 175)(35, 176)(36, 177)(37, 178)(38, 150)(39, 151)(40, 152)(41, 154)(42, 182)(43, 156)(44, 184)(45, 158)(46, 160)(47, 168)(48, 185)(49, 186)(50, 187)(51, 166)(52, 167)(53, 169)(54, 190)(55, 171)(56, 173)(57, 180)(58, 191)(59, 192)(60, 179)(61, 181)(62, 183)(63, 188)(64, 189)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 128 ), ( 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128 ) }
Outer automorphisms :: reflexible
Dual of E28.1572
Graph:: bipartite
	v = 65 e = 128 f = 9
	degree seq :: [ 2^64, 128 ]

E28.1581 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 64, 64})
Quotient :: dipole
Aut^+ = C64 (small group id <64, 1>)
Aut   = $<128, 161>$ (small group id <128, 161>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1, Y1), (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^8, Y3^8, Y3^-3 * Y1^8, (Y3 * Y2^-1)^8, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 14, 78, 26, 90, 41, 105, 50, 114, 34, 98, 19, 83, 31, 95, 46, 110, 59, 123, 63, 127, 55, 119, 39, 103, 24, 88, 13, 77, 18, 82, 30, 94, 45, 109, 52, 116, 36, 100, 21, 85, 10, 74, 3, 67, 7, 71, 15, 79, 27, 91, 42, 106, 57, 121, 61, 125, 49, 113, 33, 97, 48, 112, 60, 124, 62, 126, 54, 118, 38, 102, 23, 87, 12, 76, 5, 69, 8, 72, 16, 80, 28, 92, 43, 107, 51, 115, 35, 99, 20, 84, 9, 73, 17, 81, 29, 93, 44, 108, 58, 122, 64, 128, 56, 120, 40, 104, 25, 89, 32, 96, 47, 111, 53, 117, 37, 101, 22, 86, 11, 75, 4, 68)(129, 193)(130, 194)(131, 195)(132, 196)(133, 197)(134, 198)(135, 199)(136, 200)(137, 201)(138, 202)(139, 203)(140, 204)(141, 205)(142, 206)(143, 207)(144, 208)(145, 209)(146, 210)(147, 211)(148, 212)(149, 213)(150, 214)(151, 215)(152, 216)(153, 217)(154, 218)(155, 219)(156, 220)(157, 221)(158, 222)(159, 223)(160, 224)(161, 225)(162, 226)(163, 227)(164, 228)(165, 229)(166, 230)(167, 231)(168, 232)(169, 233)(170, 234)(171, 235)(172, 236)(173, 237)(174, 238)(175, 239)(176, 240)(177, 241)(178, 242)(179, 243)(180, 244)(181, 245)(182, 246)(183, 247)(184, 248)(185, 249)(186, 250)(187, 251)(188, 252)(189, 253)(190, 254)(191, 255)(192, 256)
	L = (1, 131)(2, 135)(3, 137)(4, 138)(5, 129)(6, 143)(7, 145)(8, 130)(9, 147)(10, 148)(11, 149)(12, 132)(13, 133)(14, 155)(15, 157)(16, 134)(17, 159)(18, 136)(19, 161)(20, 162)(21, 163)(22, 164)(23, 139)(24, 140)(25, 141)(26, 170)(27, 172)(28, 142)(29, 174)(30, 144)(31, 176)(32, 146)(33, 153)(34, 177)(35, 178)(36, 179)(37, 180)(38, 150)(39, 151)(40, 152)(41, 185)(42, 186)(43, 154)(44, 187)(45, 156)(46, 188)(47, 158)(48, 160)(49, 168)(50, 189)(51, 169)(52, 171)(53, 173)(54, 165)(55, 166)(56, 167)(57, 192)(58, 191)(59, 190)(60, 175)(61, 184)(62, 181)(63, 182)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 128 ), ( 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128, 16, 128 ) }
Outer automorphisms :: reflexible
Dual of E28.1573
Graph:: bipartite
	v = 65 e = 128 f = 9
	degree seq :: [ 2^64, 128 ]

E28.1582 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 5, 35})
Quotient :: dipole
Aut^+ = C5 x D14 (small group id <70, 2>)
Aut   = D10 x D14 (small group id <140, 7>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2^-1), (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, Y2^-1 * Y1 * Y2 * Y1, Y2^5, Y3^7 ]
Map:: non-degenerate
	R = (1, 71, 2, 72)(3, 73, 7, 77)(4, 74, 10, 80)(5, 75, 9, 79)(6, 76, 8, 78)(11, 81, 19, 89)(12, 82, 21, 91)(13, 83, 20, 90)(14, 84, 26, 96)(15, 85, 25, 95)(16, 86, 24, 94)(17, 87, 23, 93)(18, 88, 22, 92)(27, 97, 38, 108)(28, 98, 37, 107)(29, 99, 40, 110)(30, 100, 39, 109)(31, 101, 46, 116)(32, 102, 45, 115)(33, 103, 44, 114)(34, 104, 43, 113)(35, 105, 42, 112)(36, 106, 41, 111)(47, 117, 56, 126)(48, 118, 55, 125)(49, 119, 58, 128)(50, 120, 57, 127)(51, 121, 62, 132)(52, 122, 61, 131)(53, 123, 60, 130)(54, 124, 59, 129)(63, 133, 68, 138)(64, 134, 67, 137)(65, 135, 70, 140)(66, 136, 69, 139)(141, 211, 143, 213, 151, 221, 156, 226, 145, 215)(142, 212, 147, 217, 159, 229, 164, 234, 149, 219)(144, 214, 152, 222, 167, 237, 173, 243, 155, 225)(146, 216, 153, 223, 168, 238, 174, 244, 157, 227)(148, 218, 160, 230, 177, 247, 183, 253, 163, 233)(150, 220, 161, 231, 178, 248, 184, 254, 165, 235)(154, 224, 169, 239, 187, 257, 192, 262, 172, 242)(158, 228, 170, 240, 188, 258, 193, 263, 175, 245)(162, 232, 179, 249, 195, 265, 200, 270, 182, 252)(166, 236, 180, 250, 196, 266, 201, 271, 185, 255)(171, 241, 189, 259, 203, 273, 205, 275, 191, 261)(176, 246, 190, 260, 204, 274, 206, 276, 194, 264)(181, 251, 197, 267, 207, 277, 209, 279, 199, 269)(186, 256, 198, 268, 208, 278, 210, 280, 202, 272)
	L = (1, 144)(2, 148)(3, 152)(4, 154)(5, 155)(6, 141)(7, 160)(8, 162)(9, 163)(10, 142)(11, 167)(12, 169)(13, 143)(14, 171)(15, 172)(16, 173)(17, 145)(18, 146)(19, 177)(20, 179)(21, 147)(22, 181)(23, 182)(24, 183)(25, 149)(26, 150)(27, 187)(28, 151)(29, 189)(30, 153)(31, 176)(32, 191)(33, 192)(34, 156)(35, 157)(36, 158)(37, 195)(38, 159)(39, 197)(40, 161)(41, 186)(42, 199)(43, 200)(44, 164)(45, 165)(46, 166)(47, 203)(48, 168)(49, 190)(50, 170)(51, 194)(52, 205)(53, 174)(54, 175)(55, 207)(56, 178)(57, 198)(58, 180)(59, 202)(60, 209)(61, 184)(62, 185)(63, 204)(64, 188)(65, 206)(66, 193)(67, 208)(68, 196)(69, 210)(70, 201)(71, 211)(72, 212)(73, 213)(74, 214)(75, 215)(76, 216)(77, 217)(78, 218)(79, 219)(80, 220)(81, 221)(82, 222)(83, 223)(84, 224)(85, 225)(86, 226)(87, 227)(88, 228)(89, 229)(90, 230)(91, 231)(92, 232)(93, 233)(94, 234)(95, 235)(96, 236)(97, 237)(98, 238)(99, 239)(100, 240)(101, 241)(102, 242)(103, 243)(104, 244)(105, 245)(106, 246)(107, 247)(108, 248)(109, 249)(110, 250)(111, 251)(112, 252)(113, 253)(114, 254)(115, 255)(116, 256)(117, 257)(118, 258)(119, 259)(120, 260)(121, 261)(122, 262)(123, 263)(124, 264)(125, 265)(126, 266)(127, 267)(128, 268)(129, 269)(130, 270)(131, 271)(132, 272)(133, 273)(134, 274)(135, 275)(136, 276)(137, 277)(138, 278)(139, 279)(140, 280)
	local type(s) :: { ( 4, 70, 4, 70 ), ( 4, 70, 4, 70, 4, 70, 4, 70, 4, 70 ) }
Outer automorphisms :: reflexible
Dual of E28.1583
Graph:: simple bipartite
	v = 49 e = 140 f = 37
	degree seq :: [ 4^35, 10^14 ]

E28.1583 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 5, 35})
Quotient :: dipole
Aut^+ = C5 x D14 (small group id <70, 2>)
Aut   = D10 x D14 (small group id <140, 7>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3, Y1), (R * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, Y3^-1 * Y1^-1 * Y3^-1 * Y2 * Y1 * Y2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1^5, Y3^7, Y1^2 * Y2 * Y3 * Y1^3 * Y2, Y1 * Y2 * Y1 * Y3^-2 * Y1^-2 * Y2, Y1^2 * Y3^-1 * Y2 * R * Y1^2 * Y2 * R ]
Map:: non-degenerate
	R = (1, 71, 2, 72, 7, 77, 21, 91, 39, 109, 15, 85, 29, 99, 53, 123, 69, 139, 64, 134, 46, 116, 59, 129, 61, 131, 45, 115, 19, 89, 6, 76, 10, 80, 24, 94, 41, 111, 16, 86, 4, 74, 9, 79, 23, 93, 48, 118, 67, 137, 38, 108, 58, 128, 70, 140, 65, 135, 34, 104, 20, 90, 30, 100, 44, 114, 18, 88, 5, 75)(3, 73, 11, 81, 31, 101, 60, 130, 57, 127, 27, 97, 8, 78, 25, 95, 54, 124, 40, 110, 66, 136, 51, 121, 22, 92, 49, 119, 36, 106, 14, 84, 32, 102, 62, 132, 47, 117, 33, 103, 12, 82, 28, 98, 55, 125, 43, 113, 68, 138, 56, 126, 26, 96, 52, 122, 42, 112, 17, 87, 37, 107, 63, 133, 50, 120, 35, 105, 13, 83)(141, 211, 143, 213)(142, 212, 148, 218)(144, 214, 154, 224)(145, 215, 157, 227)(146, 216, 152, 222)(147, 217, 162, 232)(149, 219, 168, 238)(150, 220, 166, 236)(151, 221, 169, 239)(153, 223, 174, 244)(155, 225, 177, 247)(156, 226, 180, 250)(158, 228, 183, 253)(159, 229, 176, 246)(160, 230, 167, 237)(161, 231, 187, 257)(163, 233, 192, 262)(164, 234, 190, 260)(165, 235, 193, 263)(170, 240, 191, 261)(171, 241, 201, 271)(172, 242, 198, 268)(173, 243, 204, 274)(175, 245, 188, 258)(178, 248, 206, 276)(179, 249, 208, 278)(181, 251, 200, 270)(182, 252, 205, 275)(184, 254, 202, 272)(185, 255, 194, 264)(186, 256, 196, 266)(189, 259, 209, 279)(195, 265, 210, 280)(197, 267, 207, 277)(199, 269, 203, 273)
	L = (1, 144)(2, 149)(3, 152)(4, 155)(5, 156)(6, 141)(7, 163)(8, 166)(9, 169)(10, 142)(11, 168)(12, 167)(13, 173)(14, 143)(15, 178)(16, 179)(17, 176)(18, 181)(19, 145)(20, 146)(21, 188)(22, 190)(23, 193)(24, 147)(25, 192)(26, 191)(27, 196)(28, 148)(29, 198)(30, 150)(31, 195)(32, 151)(33, 197)(34, 159)(35, 187)(36, 153)(37, 154)(38, 186)(39, 207)(40, 157)(41, 161)(42, 189)(43, 194)(44, 164)(45, 158)(46, 160)(47, 200)(48, 209)(49, 175)(50, 202)(51, 203)(52, 162)(53, 210)(54, 182)(55, 165)(56, 206)(57, 208)(58, 199)(59, 170)(60, 183)(61, 184)(62, 171)(63, 172)(64, 174)(65, 185)(66, 177)(67, 204)(68, 180)(69, 205)(70, 201)(71, 211)(72, 212)(73, 213)(74, 214)(75, 215)(76, 216)(77, 217)(78, 218)(79, 219)(80, 220)(81, 221)(82, 222)(83, 223)(84, 224)(85, 225)(86, 226)(87, 227)(88, 228)(89, 229)(90, 230)(91, 231)(92, 232)(93, 233)(94, 234)(95, 235)(96, 236)(97, 237)(98, 238)(99, 239)(100, 240)(101, 241)(102, 242)(103, 243)(104, 244)(105, 245)(106, 246)(107, 247)(108, 248)(109, 249)(110, 250)(111, 251)(112, 252)(113, 253)(114, 254)(115, 255)(116, 256)(117, 257)(118, 258)(119, 259)(120, 260)(121, 261)(122, 262)(123, 263)(124, 264)(125, 265)(126, 266)(127, 267)(128, 268)(129, 269)(130, 270)(131, 271)(132, 272)(133, 273)(134, 274)(135, 275)(136, 276)(137, 277)(138, 278)(139, 279)(140, 280)
	local type(s) :: { ( 4, 10, 4, 10 ), ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E28.1582
Graph:: bipartite
	v = 37 e = 140 f = 49
	degree seq :: [ 4^35, 70^2 ]

E28.1584 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 5, 35})
Quotient :: halfedge^2
Aut^+ = D70 (small group id <70, 3>)
Aut   = D140 (small group id <140, 10>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y1^-1 * Y3)^2, (Y1 * Y3)^2, R * Y3 * R * Y2, (R * Y1)^2, (Y2 * Y1)^2, (Y1^-3 * Y3)^2, Y1^3 * Y2 * Y1^-2 * Y3 * Y2 * Y3, Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3, (Y3 * Y2)^14 ]
Map:: non-degenerate
	R = (1, 72, 2, 76, 6, 84, 14, 96, 26, 110, 40, 115, 45, 124, 54, 133, 63, 139, 69, 130, 60, 126, 56, 117, 47, 104, 34, 90, 20, 80, 10, 87, 17, 99, 29, 108, 38, 93, 23, 82, 12, 88, 18, 100, 30, 113, 43, 122, 52, 131, 61, 135, 65, 137, 67, 128, 58, 119, 49, 106, 36, 111, 41, 95, 25, 83, 13, 75, 5, 71)(3, 79, 9, 89, 19, 103, 33, 116, 46, 120, 50, 129, 59, 138, 68, 134, 64, 125, 55, 121, 51, 112, 42, 98, 28, 86, 16, 78, 8, 74, 4, 81, 11, 92, 22, 107, 37, 101, 31, 91, 21, 105, 35, 118, 48, 127, 57, 136, 66, 140, 70, 132, 62, 123, 53, 114, 44, 102, 32, 94, 24, 109, 39, 97, 27, 85, 15, 77, 7, 73)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 27)(16, 30)(17, 31)(20, 35)(22, 38)(24, 40)(25, 33)(26, 39)(28, 43)(29, 37)(32, 45)(34, 48)(36, 50)(41, 46)(42, 52)(44, 54)(47, 57)(49, 59)(51, 61)(53, 63)(55, 65)(56, 66)(58, 68)(60, 70)(62, 69)(64, 67)(71, 74)(72, 78)(73, 80)(75, 81)(76, 86)(77, 87)(79, 90)(82, 94)(83, 92)(84, 98)(85, 99)(88, 102)(89, 104)(91, 106)(93, 109)(95, 107)(96, 112)(97, 108)(100, 114)(101, 111)(103, 117)(105, 119)(110, 121)(113, 123)(115, 125)(116, 126)(118, 128)(120, 130)(122, 132)(124, 134)(127, 137)(129, 139)(131, 140)(133, 138)(135, 136)
	local type(s) :: { ( 10^70 ) }
Outer automorphisms :: reflexible
Dual of E28.1586
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 70 f = 14
	degree seq :: [ 70^2 ]

E28.1585 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 5, 35})
Quotient :: halfedge^2
Aut^+ = D70 (small group id <70, 3>)
Aut   = D140 (small group id <140, 10>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y2 * Y1^-1)^2, (R * Y1)^2, (Y3 * Y1)^2, Y1^-1 * Y3 * Y2 * Y1^-5, Y2 * Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3, (Y2 * Y1 * Y3)^5, Y1^4 * Y3 * Y2 * Y1^4 * Y3 * Y2 * Y1^4 * Y3 * Y2 * Y1^-1 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 72, 2, 76, 6, 84, 14, 96, 26, 93, 23, 82, 12, 88, 18, 100, 30, 110, 40, 121, 51, 119, 49, 108, 38, 114, 44, 124, 54, 134, 64, 140, 70, 130, 60, 132, 62, 137, 67, 138, 68, 128, 58, 117, 47, 106, 36, 113, 43, 123, 53, 115, 45, 104, 34, 90, 20, 80, 10, 87, 17, 99, 29, 95, 25, 83, 13, 75, 5, 71)(3, 79, 9, 89, 19, 103, 33, 111, 41, 101, 31, 91, 21, 105, 35, 116, 46, 127, 57, 135, 65, 125, 55, 118, 48, 129, 59, 139, 69, 136, 66, 126, 56, 120, 50, 131, 61, 133, 63, 122, 52, 112, 42, 102, 32, 94, 24, 107, 37, 109, 39, 98, 28, 86, 16, 78, 8, 74, 4, 81, 11, 92, 22, 97, 27, 85, 15, 77, 7, 73)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 27)(16, 30)(17, 31)(20, 35)(22, 26)(24, 38)(25, 33)(28, 40)(29, 41)(32, 44)(34, 46)(36, 48)(37, 49)(39, 51)(42, 54)(43, 55)(45, 57)(47, 59)(50, 62)(52, 64)(53, 65)(56, 67)(58, 69)(60, 61)(63, 70)(66, 68)(71, 74)(72, 78)(73, 80)(75, 81)(76, 86)(77, 87)(79, 90)(82, 94)(83, 92)(84, 98)(85, 99)(88, 102)(89, 104)(91, 106)(93, 107)(95, 97)(96, 109)(100, 112)(101, 113)(103, 115)(105, 117)(108, 120)(110, 122)(111, 123)(114, 126)(116, 128)(118, 130)(119, 131)(121, 133)(124, 136)(125, 132)(127, 138)(129, 140)(134, 139)(135, 137)
	local type(s) :: { ( 10^70 ) }
Outer automorphisms :: reflexible
Dual of E28.1587
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 70 f = 14
	degree seq :: [ 70^2 ]

E28.1586 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 5, 35})
Quotient :: halfedge^2
Aut^+ = D70 (small group id <70, 3>)
Aut   = D140 (small group id <140, 10>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y2 * Y1^-1)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, Y1^5, (Y3 * Y2)^7, (Y2 * Y1 * Y3)^35 ]
Map:: non-degenerate
	R = (1, 72, 2, 76, 6, 83, 13, 75, 5, 71)(3, 79, 9, 88, 18, 84, 14, 77, 7, 73)(4, 81, 11, 91, 21, 85, 15, 78, 8, 74)(10, 86, 16, 94, 24, 98, 28, 89, 19, 80)(12, 87, 17, 95, 25, 101, 31, 92, 22, 82)(20, 99, 29, 108, 38, 104, 34, 96, 26, 90)(23, 102, 32, 111, 41, 105, 35, 97, 27, 93)(30, 106, 36, 114, 44, 118, 48, 109, 39, 100)(33, 107, 37, 115, 45, 121, 51, 112, 42, 103)(40, 119, 49, 128, 58, 124, 54, 116, 46, 110)(43, 122, 52, 131, 61, 125, 55, 117, 47, 113)(50, 126, 56, 133, 63, 136, 66, 129, 59, 120)(53, 127, 57, 134, 64, 138, 68, 132, 62, 123)(60, 137, 67, 140, 70, 139, 69, 135, 65, 130)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 14)(8, 17)(10, 20)(11, 22)(13, 18)(15, 25)(16, 26)(19, 29)(21, 31)(23, 33)(24, 34)(27, 37)(28, 38)(30, 40)(32, 42)(35, 45)(36, 46)(39, 49)(41, 51)(43, 53)(44, 54)(47, 57)(48, 58)(50, 60)(52, 62)(55, 64)(56, 65)(59, 67)(61, 68)(63, 69)(66, 70)(71, 74)(72, 78)(73, 80)(75, 81)(76, 85)(77, 86)(79, 89)(82, 93)(83, 91)(84, 94)(87, 97)(88, 98)(90, 100)(92, 102)(95, 105)(96, 106)(99, 109)(101, 111)(103, 113)(104, 114)(107, 117)(108, 118)(110, 120)(112, 122)(115, 125)(116, 126)(119, 129)(121, 131)(123, 130)(124, 133)(127, 135)(128, 136)(132, 137)(134, 139)(138, 140)
	local type(s) :: { ( 70^10 ) }
Outer automorphisms :: reflexible
Dual of E28.1584
Transitivity :: VT+ AT
Graph:: bipartite
	v = 14 e = 70 f = 2
	degree seq :: [ 10^14 ]

E28.1587 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 5, 35})
Quotient :: halfedge^2
Aut^+ = D70 (small group id <70, 3>)
Aut   = D140 (small group id <140, 10>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y2 * Y1^-1)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, Y1^5, Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2, (Y2 * Y1 * Y3)^35 ]
Map:: non-degenerate
	R = (1, 72, 2, 76, 6, 83, 13, 75, 5, 71)(3, 79, 9, 88, 18, 84, 14, 77, 7, 73)(4, 81, 11, 91, 21, 85, 15, 78, 8, 74)(10, 86, 16, 94, 24, 98, 28, 89, 19, 80)(12, 87, 17, 95, 25, 101, 31, 92, 22, 82)(20, 99, 29, 108, 38, 104, 34, 96, 26, 90)(23, 102, 32, 111, 41, 105, 35, 97, 27, 93)(30, 106, 36, 114, 44, 118, 48, 109, 39, 100)(33, 107, 37, 115, 45, 121, 51, 112, 42, 103)(40, 119, 49, 128, 58, 124, 54, 116, 46, 110)(43, 122, 52, 131, 61, 125, 55, 117, 47, 113)(50, 126, 56, 134, 64, 138, 68, 129, 59, 120)(53, 127, 57, 135, 65, 140, 70, 132, 62, 123)(60, 139, 69, 137, 67, 133, 63, 136, 66, 130)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 14)(8, 17)(10, 20)(11, 22)(13, 18)(15, 25)(16, 26)(19, 29)(21, 31)(23, 33)(24, 34)(27, 37)(28, 38)(30, 40)(32, 42)(35, 45)(36, 46)(39, 49)(41, 51)(43, 53)(44, 54)(47, 57)(48, 58)(50, 60)(52, 62)(55, 65)(56, 66)(59, 69)(61, 70)(63, 64)(67, 68)(71, 74)(72, 78)(73, 80)(75, 81)(76, 85)(77, 86)(79, 89)(82, 93)(83, 91)(84, 94)(87, 97)(88, 98)(90, 100)(92, 102)(95, 105)(96, 106)(99, 109)(101, 111)(103, 113)(104, 114)(107, 117)(108, 118)(110, 120)(112, 122)(115, 125)(116, 126)(119, 129)(121, 131)(123, 133)(124, 134)(127, 137)(128, 138)(130, 140)(132, 136)(135, 139)
	local type(s) :: { ( 70^10 ) }
Outer automorphisms :: reflexible
Dual of E28.1585
Transitivity :: VT+ AT
Graph:: bipartite
	v = 14 e = 70 f = 2
	degree seq :: [ 10^14 ]

E28.1588 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 5, 35})
Quotient :: edge^2
Aut^+ = D70 (small group id <70, 3>)
Aut   = D140 (small group id <140, 10>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1)^2, (Y3 * Y2)^2, Y3^5, (Y2 * Y1)^7, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 71, 4, 74, 12, 82, 13, 83, 5, 75)(2, 72, 7, 77, 17, 87, 18, 88, 8, 78)(3, 73, 10, 80, 22, 92, 23, 93, 11, 81)(6, 76, 15, 85, 27, 97, 28, 98, 16, 86)(9, 79, 20, 90, 32, 102, 33, 103, 21, 91)(14, 84, 25, 95, 37, 107, 38, 108, 26, 96)(19, 89, 30, 100, 42, 112, 43, 113, 31, 101)(24, 94, 35, 105, 47, 117, 48, 118, 36, 106)(29, 99, 40, 110, 52, 122, 53, 123, 41, 111)(34, 104, 45, 115, 57, 127, 58, 128, 46, 116)(39, 109, 50, 120, 61, 131, 62, 132, 51, 121)(44, 114, 55, 125, 65, 135, 66, 136, 56, 126)(49, 119, 59, 129, 67, 137, 68, 138, 60, 130)(54, 124, 63, 133, 69, 139, 70, 140, 64, 134)(141, 142)(143, 149)(144, 148)(145, 147)(146, 154)(150, 161)(151, 160)(152, 158)(153, 157)(155, 166)(156, 165)(159, 169)(162, 173)(163, 172)(164, 174)(167, 178)(168, 177)(170, 181)(171, 180)(175, 186)(176, 185)(179, 189)(182, 193)(183, 192)(184, 194)(187, 198)(188, 197)(190, 200)(191, 199)(195, 204)(196, 203)(201, 208)(202, 207)(205, 210)(206, 209)(211, 213)(212, 216)(214, 221)(215, 220)(217, 226)(218, 225)(219, 229)(222, 233)(223, 232)(224, 234)(227, 238)(228, 237)(230, 241)(231, 240)(235, 246)(236, 245)(239, 249)(242, 253)(243, 252)(244, 254)(247, 258)(248, 257)(250, 261)(251, 260)(255, 266)(256, 265)(259, 264)(262, 272)(263, 271)(267, 276)(268, 275)(269, 274)(270, 273)(277, 280)(278, 279)
	L = (1, 141)(2, 142)(3, 143)(4, 144)(5, 145)(6, 146)(7, 147)(8, 148)(9, 149)(10, 150)(11, 151)(12, 152)(13, 153)(14, 154)(15, 155)(16, 156)(17, 157)(18, 158)(19, 159)(20, 160)(21, 161)(22, 162)(23, 163)(24, 164)(25, 165)(26, 166)(27, 167)(28, 168)(29, 169)(30, 170)(31, 171)(32, 172)(33, 173)(34, 174)(35, 175)(36, 176)(37, 177)(38, 178)(39, 179)(40, 180)(41, 181)(42, 182)(43, 183)(44, 184)(45, 185)(46, 186)(47, 187)(48, 188)(49, 189)(50, 190)(51, 191)(52, 192)(53, 193)(54, 194)(55, 195)(56, 196)(57, 197)(58, 198)(59, 199)(60, 200)(61, 201)(62, 202)(63, 203)(64, 204)(65, 205)(66, 206)(67, 207)(68, 208)(69, 209)(70, 210)(71, 211)(72, 212)(73, 213)(74, 214)(75, 215)(76, 216)(77, 217)(78, 218)(79, 219)(80, 220)(81, 221)(82, 222)(83, 223)(84, 224)(85, 225)(86, 226)(87, 227)(88, 228)(89, 229)(90, 230)(91, 231)(92, 232)(93, 233)(94, 234)(95, 235)(96, 236)(97, 237)(98, 238)(99, 239)(100, 240)(101, 241)(102, 242)(103, 243)(104, 244)(105, 245)(106, 246)(107, 247)(108, 248)(109, 249)(110, 250)(111, 251)(112, 252)(113, 253)(114, 254)(115, 255)(116, 256)(117, 257)(118, 258)(119, 259)(120, 260)(121, 261)(122, 262)(123, 263)(124, 264)(125, 265)(126, 266)(127, 267)(128, 268)(129, 269)(130, 270)(131, 271)(132, 272)(133, 273)(134, 274)(135, 275)(136, 276)(137, 277)(138, 278)(139, 279)(140, 280)
	local type(s) :: { ( 140, 140 ), ( 140^10 ) }
Outer automorphisms :: reflexible
Dual of E28.1594
Graph:: simple bipartite
	v = 84 e = 140 f = 2
	degree seq :: [ 2^70, 10^14 ]

E28.1589 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 5, 35})
Quotient :: edge^2
Aut^+ = D70 (small group id <70, 3>)
Aut   = D140 (small group id <140, 10>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1)^2, (Y3 * Y2)^2, Y3^5, Y2 * Y1 * Y2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 71, 4, 74, 12, 82, 13, 83, 5, 75)(2, 72, 7, 77, 17, 87, 18, 88, 8, 78)(3, 73, 10, 80, 22, 92, 23, 93, 11, 81)(6, 76, 15, 85, 27, 97, 28, 98, 16, 86)(9, 79, 20, 90, 32, 102, 33, 103, 21, 91)(14, 84, 25, 95, 37, 107, 38, 108, 26, 96)(19, 89, 30, 100, 42, 112, 43, 113, 31, 101)(24, 94, 35, 105, 47, 117, 48, 118, 36, 106)(29, 99, 40, 110, 52, 122, 53, 123, 41, 111)(34, 104, 45, 115, 57, 127, 58, 128, 46, 116)(39, 109, 50, 120, 62, 132, 63, 133, 51, 121)(44, 114, 55, 125, 67, 137, 68, 138, 56, 126)(49, 119, 60, 130, 64, 134, 70, 140, 61, 131)(54, 124, 65, 135, 59, 129, 69, 139, 66, 136)(141, 142)(143, 149)(144, 148)(145, 147)(146, 154)(150, 161)(151, 160)(152, 158)(153, 157)(155, 166)(156, 165)(159, 169)(162, 173)(163, 172)(164, 174)(167, 178)(168, 177)(170, 181)(171, 180)(175, 186)(176, 185)(179, 189)(182, 193)(183, 192)(184, 194)(187, 198)(188, 197)(190, 201)(191, 200)(195, 206)(196, 205)(199, 208)(202, 210)(203, 204)(207, 209)(211, 213)(212, 216)(214, 221)(215, 220)(217, 226)(218, 225)(219, 229)(222, 233)(223, 232)(224, 234)(227, 238)(228, 237)(230, 241)(231, 240)(235, 246)(236, 245)(239, 249)(242, 253)(243, 252)(244, 254)(247, 258)(248, 257)(250, 261)(251, 260)(255, 266)(256, 265)(259, 269)(262, 273)(263, 272)(264, 274)(267, 278)(268, 277)(270, 275)(271, 279)(276, 280)
	L = (1, 141)(2, 142)(3, 143)(4, 144)(5, 145)(6, 146)(7, 147)(8, 148)(9, 149)(10, 150)(11, 151)(12, 152)(13, 153)(14, 154)(15, 155)(16, 156)(17, 157)(18, 158)(19, 159)(20, 160)(21, 161)(22, 162)(23, 163)(24, 164)(25, 165)(26, 166)(27, 167)(28, 168)(29, 169)(30, 170)(31, 171)(32, 172)(33, 173)(34, 174)(35, 175)(36, 176)(37, 177)(38, 178)(39, 179)(40, 180)(41, 181)(42, 182)(43, 183)(44, 184)(45, 185)(46, 186)(47, 187)(48, 188)(49, 189)(50, 190)(51, 191)(52, 192)(53, 193)(54, 194)(55, 195)(56, 196)(57, 197)(58, 198)(59, 199)(60, 200)(61, 201)(62, 202)(63, 203)(64, 204)(65, 205)(66, 206)(67, 207)(68, 208)(69, 209)(70, 210)(71, 211)(72, 212)(73, 213)(74, 214)(75, 215)(76, 216)(77, 217)(78, 218)(79, 219)(80, 220)(81, 221)(82, 222)(83, 223)(84, 224)(85, 225)(86, 226)(87, 227)(88, 228)(89, 229)(90, 230)(91, 231)(92, 232)(93, 233)(94, 234)(95, 235)(96, 236)(97, 237)(98, 238)(99, 239)(100, 240)(101, 241)(102, 242)(103, 243)(104, 244)(105, 245)(106, 246)(107, 247)(108, 248)(109, 249)(110, 250)(111, 251)(112, 252)(113, 253)(114, 254)(115, 255)(116, 256)(117, 257)(118, 258)(119, 259)(120, 260)(121, 261)(122, 262)(123, 263)(124, 264)(125, 265)(126, 266)(127, 267)(128, 268)(129, 269)(130, 270)(131, 271)(132, 272)(133, 273)(134, 274)(135, 275)(136, 276)(137, 277)(138, 278)(139, 279)(140, 280)
	local type(s) :: { ( 140, 140 ), ( 140^10 ) }
Outer automorphisms :: reflexible
Dual of E28.1595
Graph:: simple bipartite
	v = 84 e = 140 f = 2
	degree seq :: [ 2^70, 10^14 ]

E28.1590 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 5, 35})
Quotient :: edge^2
Aut^+ = D70 (small group id <70, 3>)
Aut   = D140 (small group id <140, 10>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, (Y3^-1 * Y1)^2, Y1 * Y2 * Y1 * Y3^5 * Y2, (Y3 * Y1 * Y2)^5, (Y1 * Y2)^14 ]
Map::
	R = (1, 71, 4, 74, 12, 82, 24, 94, 40, 110, 26, 96, 43, 113, 54, 124, 65, 135, 67, 137, 57, 127, 61, 131, 50, 120, 37, 107, 21, 91, 9, 79, 20, 90, 36, 106, 30, 100, 16, 86, 6, 76, 15, 85, 29, 99, 45, 115, 56, 126, 52, 122, 63, 133, 69, 139, 59, 129, 48, 118, 33, 103, 41, 111, 25, 95, 13, 83, 5, 75)(2, 72, 7, 77, 17, 87, 31, 101, 35, 105, 19, 89, 34, 104, 49, 119, 60, 130, 70, 140, 62, 132, 66, 136, 55, 125, 44, 114, 28, 98, 14, 84, 27, 97, 39, 109, 23, 93, 11, 81, 3, 73, 10, 80, 22, 92, 38, 108, 51, 121, 47, 117, 58, 128, 68, 138, 64, 134, 53, 123, 42, 112, 46, 116, 32, 102, 18, 88, 8, 78)(141, 142)(143, 149)(144, 148)(145, 147)(146, 154)(150, 161)(151, 160)(152, 158)(153, 157)(155, 168)(156, 167)(159, 173)(162, 177)(163, 176)(164, 172)(165, 171)(166, 182)(169, 184)(170, 179)(174, 188)(175, 181)(178, 190)(180, 186)(183, 193)(185, 195)(187, 197)(189, 199)(191, 201)(192, 202)(194, 204)(196, 206)(198, 207)(200, 209)(203, 210)(205, 208)(211, 213)(212, 216)(214, 221)(215, 220)(217, 226)(218, 225)(219, 229)(222, 233)(223, 232)(224, 236)(227, 240)(228, 239)(230, 245)(231, 244)(234, 249)(235, 248)(237, 250)(238, 253)(241, 246)(242, 255)(243, 257)(247, 259)(251, 261)(252, 262)(254, 264)(256, 266)(258, 268)(260, 270)(263, 273)(265, 275)(267, 272)(269, 278)(271, 280)(274, 279)(276, 277)
	L = (1, 141)(2, 142)(3, 143)(4, 144)(5, 145)(6, 146)(7, 147)(8, 148)(9, 149)(10, 150)(11, 151)(12, 152)(13, 153)(14, 154)(15, 155)(16, 156)(17, 157)(18, 158)(19, 159)(20, 160)(21, 161)(22, 162)(23, 163)(24, 164)(25, 165)(26, 166)(27, 167)(28, 168)(29, 169)(30, 170)(31, 171)(32, 172)(33, 173)(34, 174)(35, 175)(36, 176)(37, 177)(38, 178)(39, 179)(40, 180)(41, 181)(42, 182)(43, 183)(44, 184)(45, 185)(46, 186)(47, 187)(48, 188)(49, 189)(50, 190)(51, 191)(52, 192)(53, 193)(54, 194)(55, 195)(56, 196)(57, 197)(58, 198)(59, 199)(60, 200)(61, 201)(62, 202)(63, 203)(64, 204)(65, 205)(66, 206)(67, 207)(68, 208)(69, 209)(70, 210)(71, 211)(72, 212)(73, 213)(74, 214)(75, 215)(76, 216)(77, 217)(78, 218)(79, 219)(80, 220)(81, 221)(82, 222)(83, 223)(84, 224)(85, 225)(86, 226)(87, 227)(88, 228)(89, 229)(90, 230)(91, 231)(92, 232)(93, 233)(94, 234)(95, 235)(96, 236)(97, 237)(98, 238)(99, 239)(100, 240)(101, 241)(102, 242)(103, 243)(104, 244)(105, 245)(106, 246)(107, 247)(108, 248)(109, 249)(110, 250)(111, 251)(112, 252)(113, 253)(114, 254)(115, 255)(116, 256)(117, 257)(118, 258)(119, 259)(120, 260)(121, 261)(122, 262)(123, 263)(124, 264)(125, 265)(126, 266)(127, 267)(128, 268)(129, 269)(130, 270)(131, 271)(132, 272)(133, 273)(134, 274)(135, 275)(136, 276)(137, 277)(138, 278)(139, 279)(140, 280)
	local type(s) :: { ( 20, 20 ), ( 20^70 ) }
Outer automorphisms :: reflexible
Dual of E28.1592
Graph:: simple bipartite
	v = 72 e = 140 f = 14
	degree seq :: [ 2^70, 70^2 ]

E28.1591 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 5, 35})
Quotient :: edge^2
Aut^+ = D70 (small group id <70, 3>)
Aut   = D140 (small group id <140, 10>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3^-1 * Y1)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, Y3^2 * Y2 * Y3^-4 * Y1, Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 71, 4, 74, 12, 82, 24, 94, 30, 100, 16, 86, 6, 76, 15, 85, 29, 99, 44, 114, 55, 125, 41, 111, 26, 96, 40, 110, 54, 124, 66, 136, 67, 137, 57, 127, 51, 121, 63, 133, 70, 140, 61, 131, 47, 117, 33, 103, 46, 116, 60, 130, 50, 120, 37, 107, 21, 91, 9, 79, 20, 90, 36, 106, 25, 95, 13, 83, 5, 75)(2, 72, 7, 77, 17, 87, 31, 101, 23, 93, 11, 81, 3, 73, 10, 80, 22, 92, 38, 108, 49, 119, 35, 105, 19, 89, 34, 104, 48, 118, 62, 132, 69, 139, 59, 129, 45, 115, 58, 128, 68, 138, 65, 135, 53, 123, 39, 109, 52, 122, 64, 134, 56, 126, 43, 113, 28, 98, 14, 84, 27, 97, 42, 112, 32, 102, 18, 88, 8, 78)(141, 142)(143, 149)(144, 148)(145, 147)(146, 154)(150, 161)(151, 160)(152, 158)(153, 157)(155, 168)(156, 167)(159, 173)(162, 177)(163, 176)(164, 172)(165, 171)(166, 179)(169, 183)(170, 182)(174, 187)(175, 186)(178, 190)(180, 193)(181, 192)(184, 196)(185, 197)(188, 201)(189, 200)(191, 199)(194, 205)(195, 204)(198, 207)(202, 210)(203, 209)(206, 208)(211, 213)(212, 216)(214, 221)(215, 220)(217, 226)(218, 225)(219, 229)(222, 233)(223, 232)(224, 236)(227, 240)(228, 239)(230, 245)(231, 244)(234, 241)(235, 248)(237, 251)(238, 250)(242, 254)(243, 255)(246, 259)(247, 258)(249, 261)(252, 265)(253, 264)(256, 269)(257, 268)(260, 272)(262, 267)(263, 273)(266, 276)(270, 279)(271, 278)(274, 277)(275, 280)
	L = (1, 141)(2, 142)(3, 143)(4, 144)(5, 145)(6, 146)(7, 147)(8, 148)(9, 149)(10, 150)(11, 151)(12, 152)(13, 153)(14, 154)(15, 155)(16, 156)(17, 157)(18, 158)(19, 159)(20, 160)(21, 161)(22, 162)(23, 163)(24, 164)(25, 165)(26, 166)(27, 167)(28, 168)(29, 169)(30, 170)(31, 171)(32, 172)(33, 173)(34, 174)(35, 175)(36, 176)(37, 177)(38, 178)(39, 179)(40, 180)(41, 181)(42, 182)(43, 183)(44, 184)(45, 185)(46, 186)(47, 187)(48, 188)(49, 189)(50, 190)(51, 191)(52, 192)(53, 193)(54, 194)(55, 195)(56, 196)(57, 197)(58, 198)(59, 199)(60, 200)(61, 201)(62, 202)(63, 203)(64, 204)(65, 205)(66, 206)(67, 207)(68, 208)(69, 209)(70, 210)(71, 211)(72, 212)(73, 213)(74, 214)(75, 215)(76, 216)(77, 217)(78, 218)(79, 219)(80, 220)(81, 221)(82, 222)(83, 223)(84, 224)(85, 225)(86, 226)(87, 227)(88, 228)(89, 229)(90, 230)(91, 231)(92, 232)(93, 233)(94, 234)(95, 235)(96, 236)(97, 237)(98, 238)(99, 239)(100, 240)(101, 241)(102, 242)(103, 243)(104, 244)(105, 245)(106, 246)(107, 247)(108, 248)(109, 249)(110, 250)(111, 251)(112, 252)(113, 253)(114, 254)(115, 255)(116, 256)(117, 257)(118, 258)(119, 259)(120, 260)(121, 261)(122, 262)(123, 263)(124, 264)(125, 265)(126, 266)(127, 267)(128, 268)(129, 269)(130, 270)(131, 271)(132, 272)(133, 273)(134, 274)(135, 275)(136, 276)(137, 277)(138, 278)(139, 279)(140, 280)
	local type(s) :: { ( 20, 20 ), ( 20^70 ) }
Outer automorphisms :: reflexible
Dual of E28.1593
Graph:: simple bipartite
	v = 72 e = 140 f = 14
	degree seq :: [ 2^70, 70^2 ]

E28.1592 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 5, 35})
Quotient :: loop^2
Aut^+ = D70 (small group id <70, 3>)
Aut   = D140 (small group id <140, 10>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1)^2, (Y3 * Y2)^2, Y3^5, (Y2 * Y1)^7, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 71, 141, 211, 4, 74, 144, 214, 12, 82, 152, 222, 13, 83, 153, 223, 5, 75, 145, 215)(2, 72, 142, 212, 7, 77, 147, 217, 17, 87, 157, 227, 18, 88, 158, 228, 8, 78, 148, 218)(3, 73, 143, 213, 10, 80, 150, 220, 22, 92, 162, 232, 23, 93, 163, 233, 11, 81, 151, 221)(6, 76, 146, 216, 15, 85, 155, 225, 27, 97, 167, 237, 28, 98, 168, 238, 16, 86, 156, 226)(9, 79, 149, 219, 20, 90, 160, 230, 32, 102, 172, 242, 33, 103, 173, 243, 21, 91, 161, 231)(14, 84, 154, 224, 25, 95, 165, 235, 37, 107, 177, 247, 38, 108, 178, 248, 26, 96, 166, 236)(19, 89, 159, 229, 30, 100, 170, 240, 42, 112, 182, 252, 43, 113, 183, 253, 31, 101, 171, 241)(24, 94, 164, 234, 35, 105, 175, 245, 47, 117, 187, 257, 48, 118, 188, 258, 36, 106, 176, 246)(29, 99, 169, 239, 40, 110, 180, 250, 52, 122, 192, 262, 53, 123, 193, 263, 41, 111, 181, 251)(34, 104, 174, 244, 45, 115, 185, 255, 57, 127, 197, 267, 58, 128, 198, 268, 46, 116, 186, 256)(39, 109, 179, 249, 50, 120, 190, 260, 61, 131, 201, 271, 62, 132, 202, 272, 51, 121, 191, 261)(44, 114, 184, 254, 55, 125, 195, 265, 65, 135, 205, 275, 66, 136, 206, 276, 56, 126, 196, 266)(49, 119, 189, 259, 59, 129, 199, 269, 67, 137, 207, 277, 68, 138, 208, 278, 60, 130, 200, 270)(54, 124, 194, 264, 63, 133, 203, 273, 69, 139, 209, 279, 70, 140, 210, 280, 64, 134, 204, 274)
	L = (1, 72)(2, 71)(3, 79)(4, 78)(5, 77)(6, 84)(7, 75)(8, 74)(9, 73)(10, 91)(11, 90)(12, 88)(13, 87)(14, 76)(15, 96)(16, 95)(17, 83)(18, 82)(19, 99)(20, 81)(21, 80)(22, 103)(23, 102)(24, 104)(25, 86)(26, 85)(27, 108)(28, 107)(29, 89)(30, 111)(31, 110)(32, 93)(33, 92)(34, 94)(35, 116)(36, 115)(37, 98)(38, 97)(39, 119)(40, 101)(41, 100)(42, 123)(43, 122)(44, 124)(45, 106)(46, 105)(47, 128)(48, 127)(49, 109)(50, 130)(51, 129)(52, 113)(53, 112)(54, 114)(55, 134)(56, 133)(57, 118)(58, 117)(59, 121)(60, 120)(61, 138)(62, 137)(63, 126)(64, 125)(65, 140)(66, 139)(67, 132)(68, 131)(69, 136)(70, 135)(141, 213)(142, 216)(143, 211)(144, 221)(145, 220)(146, 212)(147, 226)(148, 225)(149, 229)(150, 215)(151, 214)(152, 233)(153, 232)(154, 234)(155, 218)(156, 217)(157, 238)(158, 237)(159, 219)(160, 241)(161, 240)(162, 223)(163, 222)(164, 224)(165, 246)(166, 245)(167, 228)(168, 227)(169, 249)(170, 231)(171, 230)(172, 253)(173, 252)(174, 254)(175, 236)(176, 235)(177, 258)(178, 257)(179, 239)(180, 261)(181, 260)(182, 243)(183, 242)(184, 244)(185, 266)(186, 265)(187, 248)(188, 247)(189, 264)(190, 251)(191, 250)(192, 272)(193, 271)(194, 259)(195, 256)(196, 255)(197, 276)(198, 275)(199, 274)(200, 273)(201, 263)(202, 262)(203, 270)(204, 269)(205, 268)(206, 267)(207, 280)(208, 279)(209, 278)(210, 277)
	local type(s) :: { ( 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70 ) }
Outer automorphisms :: reflexible
Dual of E28.1590
Transitivity :: VT+
Graph:: bipartite
	v = 14 e = 140 f = 72
	degree seq :: [ 20^14 ]

E28.1593 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 5, 35})
Quotient :: loop^2
Aut^+ = D70 (small group id <70, 3>)
Aut   = D140 (small group id <140, 10>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1)^2, (Y3 * Y2)^2, Y3^5, Y2 * Y1 * Y2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 71, 141, 211, 4, 74, 144, 214, 12, 82, 152, 222, 13, 83, 153, 223, 5, 75, 145, 215)(2, 72, 142, 212, 7, 77, 147, 217, 17, 87, 157, 227, 18, 88, 158, 228, 8, 78, 148, 218)(3, 73, 143, 213, 10, 80, 150, 220, 22, 92, 162, 232, 23, 93, 163, 233, 11, 81, 151, 221)(6, 76, 146, 216, 15, 85, 155, 225, 27, 97, 167, 237, 28, 98, 168, 238, 16, 86, 156, 226)(9, 79, 149, 219, 20, 90, 160, 230, 32, 102, 172, 242, 33, 103, 173, 243, 21, 91, 161, 231)(14, 84, 154, 224, 25, 95, 165, 235, 37, 107, 177, 247, 38, 108, 178, 248, 26, 96, 166, 236)(19, 89, 159, 229, 30, 100, 170, 240, 42, 112, 182, 252, 43, 113, 183, 253, 31, 101, 171, 241)(24, 94, 164, 234, 35, 105, 175, 245, 47, 117, 187, 257, 48, 118, 188, 258, 36, 106, 176, 246)(29, 99, 169, 239, 40, 110, 180, 250, 52, 122, 192, 262, 53, 123, 193, 263, 41, 111, 181, 251)(34, 104, 174, 244, 45, 115, 185, 255, 57, 127, 197, 267, 58, 128, 198, 268, 46, 116, 186, 256)(39, 109, 179, 249, 50, 120, 190, 260, 62, 132, 202, 272, 63, 133, 203, 273, 51, 121, 191, 261)(44, 114, 184, 254, 55, 125, 195, 265, 67, 137, 207, 277, 68, 138, 208, 278, 56, 126, 196, 266)(49, 119, 189, 259, 60, 130, 200, 270, 64, 134, 204, 274, 70, 140, 210, 280, 61, 131, 201, 271)(54, 124, 194, 264, 65, 135, 205, 275, 59, 129, 199, 269, 69, 139, 209, 279, 66, 136, 206, 276)
	L = (1, 72)(2, 71)(3, 79)(4, 78)(5, 77)(6, 84)(7, 75)(8, 74)(9, 73)(10, 91)(11, 90)(12, 88)(13, 87)(14, 76)(15, 96)(16, 95)(17, 83)(18, 82)(19, 99)(20, 81)(21, 80)(22, 103)(23, 102)(24, 104)(25, 86)(26, 85)(27, 108)(28, 107)(29, 89)(30, 111)(31, 110)(32, 93)(33, 92)(34, 94)(35, 116)(36, 115)(37, 98)(38, 97)(39, 119)(40, 101)(41, 100)(42, 123)(43, 122)(44, 124)(45, 106)(46, 105)(47, 128)(48, 127)(49, 109)(50, 131)(51, 130)(52, 113)(53, 112)(54, 114)(55, 136)(56, 135)(57, 118)(58, 117)(59, 138)(60, 121)(61, 120)(62, 140)(63, 134)(64, 133)(65, 126)(66, 125)(67, 139)(68, 129)(69, 137)(70, 132)(141, 213)(142, 216)(143, 211)(144, 221)(145, 220)(146, 212)(147, 226)(148, 225)(149, 229)(150, 215)(151, 214)(152, 233)(153, 232)(154, 234)(155, 218)(156, 217)(157, 238)(158, 237)(159, 219)(160, 241)(161, 240)(162, 223)(163, 222)(164, 224)(165, 246)(166, 245)(167, 228)(168, 227)(169, 249)(170, 231)(171, 230)(172, 253)(173, 252)(174, 254)(175, 236)(176, 235)(177, 258)(178, 257)(179, 239)(180, 261)(181, 260)(182, 243)(183, 242)(184, 244)(185, 266)(186, 265)(187, 248)(188, 247)(189, 269)(190, 251)(191, 250)(192, 273)(193, 272)(194, 274)(195, 256)(196, 255)(197, 278)(198, 277)(199, 259)(200, 275)(201, 279)(202, 263)(203, 262)(204, 264)(205, 270)(206, 280)(207, 268)(208, 267)(209, 271)(210, 276)
	local type(s) :: { ( 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70 ) }
Outer automorphisms :: reflexible
Dual of E28.1591
Transitivity :: VT+
Graph:: bipartite
	v = 14 e = 140 f = 72
	degree seq :: [ 20^14 ]

E28.1594 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 5, 35})
Quotient :: loop^2
Aut^+ = D70 (small group id <70, 3>)
Aut   = D140 (small group id <140, 10>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, (Y3^-1 * Y1)^2, Y1 * Y2 * Y1 * Y3^5 * Y2, (Y3 * Y1 * Y2)^5, (Y1 * Y2)^14 ]
Map::
	R = (1, 71, 141, 211, 4, 74, 144, 214, 12, 82, 152, 222, 24, 94, 164, 234, 40, 110, 180, 250, 26, 96, 166, 236, 43, 113, 183, 253, 54, 124, 194, 264, 65, 135, 205, 275, 67, 137, 207, 277, 57, 127, 197, 267, 61, 131, 201, 271, 50, 120, 190, 260, 37, 107, 177, 247, 21, 91, 161, 231, 9, 79, 149, 219, 20, 90, 160, 230, 36, 106, 176, 246, 30, 100, 170, 240, 16, 86, 156, 226, 6, 76, 146, 216, 15, 85, 155, 225, 29, 99, 169, 239, 45, 115, 185, 255, 56, 126, 196, 266, 52, 122, 192, 262, 63, 133, 203, 273, 69, 139, 209, 279, 59, 129, 199, 269, 48, 118, 188, 258, 33, 103, 173, 243, 41, 111, 181, 251, 25, 95, 165, 235, 13, 83, 153, 223, 5, 75, 145, 215)(2, 72, 142, 212, 7, 77, 147, 217, 17, 87, 157, 227, 31, 101, 171, 241, 35, 105, 175, 245, 19, 89, 159, 229, 34, 104, 174, 244, 49, 119, 189, 259, 60, 130, 200, 270, 70, 140, 210, 280, 62, 132, 202, 272, 66, 136, 206, 276, 55, 125, 195, 265, 44, 114, 184, 254, 28, 98, 168, 238, 14, 84, 154, 224, 27, 97, 167, 237, 39, 109, 179, 249, 23, 93, 163, 233, 11, 81, 151, 221, 3, 73, 143, 213, 10, 80, 150, 220, 22, 92, 162, 232, 38, 108, 178, 248, 51, 121, 191, 261, 47, 117, 187, 257, 58, 128, 198, 268, 68, 138, 208, 278, 64, 134, 204, 274, 53, 123, 193, 263, 42, 112, 182, 252, 46, 116, 186, 256, 32, 102, 172, 242, 18, 88, 158, 228, 8, 78, 148, 218)
	L = (1, 72)(2, 71)(3, 79)(4, 78)(5, 77)(6, 84)(7, 75)(8, 74)(9, 73)(10, 91)(11, 90)(12, 88)(13, 87)(14, 76)(15, 98)(16, 97)(17, 83)(18, 82)(19, 103)(20, 81)(21, 80)(22, 107)(23, 106)(24, 102)(25, 101)(26, 112)(27, 86)(28, 85)(29, 114)(30, 109)(31, 95)(32, 94)(33, 89)(34, 118)(35, 111)(36, 93)(37, 92)(38, 120)(39, 100)(40, 116)(41, 105)(42, 96)(43, 123)(44, 99)(45, 125)(46, 110)(47, 127)(48, 104)(49, 129)(50, 108)(51, 131)(52, 132)(53, 113)(54, 134)(55, 115)(56, 136)(57, 117)(58, 137)(59, 119)(60, 139)(61, 121)(62, 122)(63, 140)(64, 124)(65, 138)(66, 126)(67, 128)(68, 135)(69, 130)(70, 133)(141, 213)(142, 216)(143, 211)(144, 221)(145, 220)(146, 212)(147, 226)(148, 225)(149, 229)(150, 215)(151, 214)(152, 233)(153, 232)(154, 236)(155, 218)(156, 217)(157, 240)(158, 239)(159, 219)(160, 245)(161, 244)(162, 223)(163, 222)(164, 249)(165, 248)(166, 224)(167, 250)(168, 253)(169, 228)(170, 227)(171, 246)(172, 255)(173, 257)(174, 231)(175, 230)(176, 241)(177, 259)(178, 235)(179, 234)(180, 237)(181, 261)(182, 262)(183, 238)(184, 264)(185, 242)(186, 266)(187, 243)(188, 268)(189, 247)(190, 270)(191, 251)(192, 252)(193, 273)(194, 254)(195, 275)(196, 256)(197, 272)(198, 258)(199, 278)(200, 260)(201, 280)(202, 267)(203, 263)(204, 279)(205, 265)(206, 277)(207, 276)(208, 269)(209, 274)(210, 271)
	local type(s) :: { ( 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10 ) }
Outer automorphisms :: reflexible
Dual of E28.1588
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 140 f = 84
	degree seq :: [ 140^2 ]

E28.1595 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 5, 35})
Quotient :: loop^2
Aut^+ = D70 (small group id <70, 3>)
Aut   = D140 (small group id <140, 10>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3^-1 * Y1)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, Y3^2 * Y2 * Y3^-4 * Y1, Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 71, 141, 211, 4, 74, 144, 214, 12, 82, 152, 222, 24, 94, 164, 234, 30, 100, 170, 240, 16, 86, 156, 226, 6, 76, 146, 216, 15, 85, 155, 225, 29, 99, 169, 239, 44, 114, 184, 254, 55, 125, 195, 265, 41, 111, 181, 251, 26, 96, 166, 236, 40, 110, 180, 250, 54, 124, 194, 264, 66, 136, 206, 276, 67, 137, 207, 277, 57, 127, 197, 267, 51, 121, 191, 261, 63, 133, 203, 273, 70, 140, 210, 280, 61, 131, 201, 271, 47, 117, 187, 257, 33, 103, 173, 243, 46, 116, 186, 256, 60, 130, 200, 270, 50, 120, 190, 260, 37, 107, 177, 247, 21, 91, 161, 231, 9, 79, 149, 219, 20, 90, 160, 230, 36, 106, 176, 246, 25, 95, 165, 235, 13, 83, 153, 223, 5, 75, 145, 215)(2, 72, 142, 212, 7, 77, 147, 217, 17, 87, 157, 227, 31, 101, 171, 241, 23, 93, 163, 233, 11, 81, 151, 221, 3, 73, 143, 213, 10, 80, 150, 220, 22, 92, 162, 232, 38, 108, 178, 248, 49, 119, 189, 259, 35, 105, 175, 245, 19, 89, 159, 229, 34, 104, 174, 244, 48, 118, 188, 258, 62, 132, 202, 272, 69, 139, 209, 279, 59, 129, 199, 269, 45, 115, 185, 255, 58, 128, 198, 268, 68, 138, 208, 278, 65, 135, 205, 275, 53, 123, 193, 263, 39, 109, 179, 249, 52, 122, 192, 262, 64, 134, 204, 274, 56, 126, 196, 266, 43, 113, 183, 253, 28, 98, 168, 238, 14, 84, 154, 224, 27, 97, 167, 237, 42, 112, 182, 252, 32, 102, 172, 242, 18, 88, 158, 228, 8, 78, 148, 218)
	L = (1, 72)(2, 71)(3, 79)(4, 78)(5, 77)(6, 84)(7, 75)(8, 74)(9, 73)(10, 91)(11, 90)(12, 88)(13, 87)(14, 76)(15, 98)(16, 97)(17, 83)(18, 82)(19, 103)(20, 81)(21, 80)(22, 107)(23, 106)(24, 102)(25, 101)(26, 109)(27, 86)(28, 85)(29, 113)(30, 112)(31, 95)(32, 94)(33, 89)(34, 117)(35, 116)(36, 93)(37, 92)(38, 120)(39, 96)(40, 123)(41, 122)(42, 100)(43, 99)(44, 126)(45, 127)(46, 105)(47, 104)(48, 131)(49, 130)(50, 108)(51, 129)(52, 111)(53, 110)(54, 135)(55, 134)(56, 114)(57, 115)(58, 137)(59, 121)(60, 119)(61, 118)(62, 140)(63, 139)(64, 125)(65, 124)(66, 138)(67, 128)(68, 136)(69, 133)(70, 132)(141, 213)(142, 216)(143, 211)(144, 221)(145, 220)(146, 212)(147, 226)(148, 225)(149, 229)(150, 215)(151, 214)(152, 233)(153, 232)(154, 236)(155, 218)(156, 217)(157, 240)(158, 239)(159, 219)(160, 245)(161, 244)(162, 223)(163, 222)(164, 241)(165, 248)(166, 224)(167, 251)(168, 250)(169, 228)(170, 227)(171, 234)(172, 254)(173, 255)(174, 231)(175, 230)(176, 259)(177, 258)(178, 235)(179, 261)(180, 238)(181, 237)(182, 265)(183, 264)(184, 242)(185, 243)(186, 269)(187, 268)(188, 247)(189, 246)(190, 272)(191, 249)(192, 267)(193, 273)(194, 253)(195, 252)(196, 276)(197, 262)(198, 257)(199, 256)(200, 279)(201, 278)(202, 260)(203, 263)(204, 277)(205, 280)(206, 266)(207, 274)(208, 271)(209, 270)(210, 275)
	local type(s) :: { ( 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10 ) }
Outer automorphisms :: reflexible
Dual of E28.1589
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 140 f = 84
	degree seq :: [ 140^2 ]

E28.1596 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 5, 35})
Quotient :: dipole
Aut^+ = D70 (small group id <70, 3>)
Aut   = D140 (small group id <140, 10>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2^-1), (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, (Y2 * Y1)^2, Y2^5, Y3^7 ]
Map:: non-degenerate
	R = (1, 71, 2, 72)(3, 73, 9, 79)(4, 74, 10, 80)(5, 75, 7, 77)(6, 76, 8, 78)(11, 81, 24, 94)(12, 82, 25, 95)(13, 83, 23, 93)(14, 84, 26, 96)(15, 85, 21, 91)(16, 86, 19, 89)(17, 87, 20, 90)(18, 88, 22, 92)(27, 97, 44, 114)(28, 98, 43, 113)(29, 99, 45, 115)(30, 100, 42, 112)(31, 101, 46, 116)(32, 102, 40, 110)(33, 103, 38, 108)(34, 104, 37, 107)(35, 105, 39, 109)(36, 106, 41, 111)(47, 117, 61, 131)(48, 118, 60, 130)(49, 119, 62, 132)(50, 120, 59, 129)(51, 121, 58, 128)(52, 122, 56, 126)(53, 123, 55, 125)(54, 124, 57, 127)(63, 133, 70, 140)(64, 134, 69, 139)(65, 135, 68, 138)(66, 136, 67, 137)(141, 211, 143, 213, 151, 221, 156, 226, 145, 215)(142, 212, 147, 217, 159, 229, 164, 234, 149, 219)(144, 214, 152, 222, 167, 237, 173, 243, 155, 225)(146, 216, 153, 223, 168, 238, 174, 244, 157, 227)(148, 218, 160, 230, 177, 247, 183, 253, 163, 233)(150, 220, 161, 231, 178, 248, 184, 254, 165, 235)(154, 224, 169, 239, 187, 257, 192, 262, 172, 242)(158, 228, 170, 240, 188, 258, 193, 263, 175, 245)(162, 232, 179, 249, 195, 265, 200, 270, 182, 252)(166, 236, 180, 250, 196, 266, 201, 271, 185, 255)(171, 241, 189, 259, 203, 273, 205, 275, 191, 261)(176, 246, 190, 260, 204, 274, 206, 276, 194, 264)(181, 251, 197, 267, 207, 277, 209, 279, 199, 269)(186, 256, 198, 268, 208, 278, 210, 280, 202, 272)
	L = (1, 144)(2, 148)(3, 152)(4, 154)(5, 155)(6, 141)(7, 160)(8, 162)(9, 163)(10, 142)(11, 167)(12, 169)(13, 143)(14, 171)(15, 172)(16, 173)(17, 145)(18, 146)(19, 177)(20, 179)(21, 147)(22, 181)(23, 182)(24, 183)(25, 149)(26, 150)(27, 187)(28, 151)(29, 189)(30, 153)(31, 176)(32, 191)(33, 192)(34, 156)(35, 157)(36, 158)(37, 195)(38, 159)(39, 197)(40, 161)(41, 186)(42, 199)(43, 200)(44, 164)(45, 165)(46, 166)(47, 203)(48, 168)(49, 190)(50, 170)(51, 194)(52, 205)(53, 174)(54, 175)(55, 207)(56, 178)(57, 198)(58, 180)(59, 202)(60, 209)(61, 184)(62, 185)(63, 204)(64, 188)(65, 206)(66, 193)(67, 208)(68, 196)(69, 210)(70, 201)(71, 211)(72, 212)(73, 213)(74, 214)(75, 215)(76, 216)(77, 217)(78, 218)(79, 219)(80, 220)(81, 221)(82, 222)(83, 223)(84, 224)(85, 225)(86, 226)(87, 227)(88, 228)(89, 229)(90, 230)(91, 231)(92, 232)(93, 233)(94, 234)(95, 235)(96, 236)(97, 237)(98, 238)(99, 239)(100, 240)(101, 241)(102, 242)(103, 243)(104, 244)(105, 245)(106, 246)(107, 247)(108, 248)(109, 249)(110, 250)(111, 251)(112, 252)(113, 253)(114, 254)(115, 255)(116, 256)(117, 257)(118, 258)(119, 259)(120, 260)(121, 261)(122, 262)(123, 263)(124, 264)(125, 265)(126, 266)(127, 267)(128, 268)(129, 269)(130, 270)(131, 271)(132, 272)(133, 273)(134, 274)(135, 275)(136, 276)(137, 277)(138, 278)(139, 279)(140, 280)
	local type(s) :: { ( 4, 70, 4, 70 ), ( 4, 70, 4, 70, 4, 70, 4, 70, 4, 70 ) }
Outer automorphisms :: reflexible
Dual of E28.1600
Graph:: simple bipartite
	v = 49 e = 140 f = 37
	degree seq :: [ 4^35, 10^14 ]

E28.1597 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 5, 35})
Quotient :: dipole
Aut^+ = D70 (small group id <70, 3>)
Aut   = D140 (small group id <140, 10>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y2, Y3^-1), (R * Y2)^2, (Y2^-1 * Y1)^2, Y2^5, Y2^2 * Y3^7, Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3^4 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 71, 2, 72)(3, 73, 9, 79)(4, 74, 10, 80)(5, 75, 7, 77)(6, 76, 8, 78)(11, 81, 24, 94)(12, 82, 25, 95)(13, 83, 23, 93)(14, 84, 26, 96)(15, 85, 21, 91)(16, 86, 19, 89)(17, 87, 20, 90)(18, 88, 22, 92)(27, 97, 44, 114)(28, 98, 43, 113)(29, 99, 45, 115)(30, 100, 42, 112)(31, 101, 46, 116)(32, 102, 40, 110)(33, 103, 38, 108)(34, 104, 37, 107)(35, 105, 39, 109)(36, 106, 41, 111)(47, 117, 64, 134)(48, 118, 63, 133)(49, 119, 65, 135)(50, 120, 62, 132)(51, 121, 66, 136)(52, 122, 60, 130)(53, 123, 58, 128)(54, 124, 57, 127)(55, 125, 59, 129)(56, 126, 61, 131)(67, 137, 70, 140)(68, 138, 69, 139)(141, 211, 143, 213, 151, 221, 156, 226, 145, 215)(142, 212, 147, 217, 159, 229, 164, 234, 149, 219)(144, 214, 152, 222, 167, 237, 173, 243, 155, 225)(146, 216, 153, 223, 168, 238, 174, 244, 157, 227)(148, 218, 160, 230, 177, 247, 183, 253, 163, 233)(150, 220, 161, 231, 178, 248, 184, 254, 165, 235)(154, 224, 169, 239, 187, 257, 193, 263, 172, 242)(158, 228, 170, 240, 188, 258, 194, 264, 175, 245)(162, 232, 179, 249, 197, 267, 203, 273, 182, 252)(166, 236, 180, 250, 198, 268, 204, 274, 185, 255)(171, 241, 189, 259, 196, 266, 208, 278, 192, 262)(176, 246, 190, 260, 207, 277, 191, 261, 195, 265)(181, 251, 199, 269, 206, 276, 210, 280, 202, 272)(186, 256, 200, 270, 209, 279, 201, 271, 205, 275)
	L = (1, 144)(2, 148)(3, 152)(4, 154)(5, 155)(6, 141)(7, 160)(8, 162)(9, 163)(10, 142)(11, 167)(12, 169)(13, 143)(14, 171)(15, 172)(16, 173)(17, 145)(18, 146)(19, 177)(20, 179)(21, 147)(22, 181)(23, 182)(24, 183)(25, 149)(26, 150)(27, 187)(28, 151)(29, 189)(30, 153)(31, 191)(32, 192)(33, 193)(34, 156)(35, 157)(36, 158)(37, 197)(38, 159)(39, 199)(40, 161)(41, 201)(42, 202)(43, 203)(44, 164)(45, 165)(46, 166)(47, 196)(48, 168)(49, 195)(50, 170)(51, 194)(52, 207)(53, 208)(54, 174)(55, 175)(56, 176)(57, 206)(58, 178)(59, 205)(60, 180)(61, 204)(62, 209)(63, 210)(64, 184)(65, 185)(66, 186)(67, 188)(68, 190)(69, 198)(70, 200)(71, 211)(72, 212)(73, 213)(74, 214)(75, 215)(76, 216)(77, 217)(78, 218)(79, 219)(80, 220)(81, 221)(82, 222)(83, 223)(84, 224)(85, 225)(86, 226)(87, 227)(88, 228)(89, 229)(90, 230)(91, 231)(92, 232)(93, 233)(94, 234)(95, 235)(96, 236)(97, 237)(98, 238)(99, 239)(100, 240)(101, 241)(102, 242)(103, 243)(104, 244)(105, 245)(106, 246)(107, 247)(108, 248)(109, 249)(110, 250)(111, 251)(112, 252)(113, 253)(114, 254)(115, 255)(116, 256)(117, 257)(118, 258)(119, 259)(120, 260)(121, 261)(122, 262)(123, 263)(124, 264)(125, 265)(126, 266)(127, 267)(128, 268)(129, 269)(130, 270)(131, 271)(132, 272)(133, 273)(134, 274)(135, 275)(136, 276)(137, 277)(138, 278)(139, 279)(140, 280)
	local type(s) :: { ( 4, 70, 4, 70 ), ( 4, 70, 4, 70, 4, 70, 4, 70, 4, 70 ) }
Outer automorphisms :: reflexible
Dual of E28.1603
Graph:: simple bipartite
	v = 49 e = 140 f = 37
	degree seq :: [ 4^35, 10^14 ]

E28.1598 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 5, 35})
Quotient :: dipole
Aut^+ = D70 (small group id <70, 3>)
Aut   = D140 (small group id <140, 10>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y2, Y3^-1), (R * Y2)^2, (Y2^-1 * Y1)^2, Y2^5, Y2^-1 * Y3^-7, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 71, 2, 72)(3, 73, 9, 79)(4, 74, 10, 80)(5, 75, 7, 77)(6, 76, 8, 78)(11, 81, 24, 94)(12, 82, 25, 95)(13, 83, 23, 93)(14, 84, 26, 96)(15, 85, 21, 91)(16, 86, 19, 89)(17, 87, 20, 90)(18, 88, 22, 92)(27, 97, 44, 114)(28, 98, 43, 113)(29, 99, 45, 115)(30, 100, 42, 112)(31, 101, 46, 116)(32, 102, 40, 110)(33, 103, 38, 108)(34, 104, 37, 107)(35, 105, 39, 109)(36, 106, 41, 111)(47, 117, 62, 132)(48, 118, 61, 131)(49, 119, 59, 129)(50, 120, 60, 130)(51, 121, 57, 127)(52, 122, 58, 128)(53, 123, 56, 126)(54, 124, 55, 125)(63, 133, 69, 139)(64, 134, 70, 140)(65, 135, 67, 137)(66, 136, 68, 138)(141, 211, 143, 213, 151, 221, 156, 226, 145, 215)(142, 212, 147, 217, 159, 229, 164, 234, 149, 219)(144, 214, 152, 222, 167, 237, 173, 243, 155, 225)(146, 216, 153, 223, 168, 238, 174, 244, 157, 227)(148, 218, 160, 230, 177, 247, 183, 253, 163, 233)(150, 220, 161, 231, 178, 248, 184, 254, 165, 235)(154, 224, 169, 239, 187, 257, 193, 263, 172, 242)(158, 228, 170, 240, 188, 258, 194, 264, 175, 245)(162, 232, 179, 249, 195, 265, 201, 271, 182, 252)(166, 236, 180, 250, 196, 266, 202, 272, 185, 255)(171, 241, 189, 259, 203, 273, 206, 276, 192, 262)(176, 246, 190, 260, 204, 274, 205, 275, 191, 261)(181, 251, 197, 267, 207, 277, 210, 280, 200, 270)(186, 256, 198, 268, 208, 278, 209, 279, 199, 269)
	L = (1, 144)(2, 148)(3, 152)(4, 154)(5, 155)(6, 141)(7, 160)(8, 162)(9, 163)(10, 142)(11, 167)(12, 169)(13, 143)(14, 171)(15, 172)(16, 173)(17, 145)(18, 146)(19, 177)(20, 179)(21, 147)(22, 181)(23, 182)(24, 183)(25, 149)(26, 150)(27, 187)(28, 151)(29, 189)(30, 153)(31, 191)(32, 192)(33, 193)(34, 156)(35, 157)(36, 158)(37, 195)(38, 159)(39, 197)(40, 161)(41, 199)(42, 200)(43, 201)(44, 164)(45, 165)(46, 166)(47, 203)(48, 168)(49, 176)(50, 170)(51, 175)(52, 205)(53, 206)(54, 174)(55, 207)(56, 178)(57, 186)(58, 180)(59, 185)(60, 209)(61, 210)(62, 184)(63, 190)(64, 188)(65, 194)(66, 204)(67, 198)(68, 196)(69, 202)(70, 208)(71, 211)(72, 212)(73, 213)(74, 214)(75, 215)(76, 216)(77, 217)(78, 218)(79, 219)(80, 220)(81, 221)(82, 222)(83, 223)(84, 224)(85, 225)(86, 226)(87, 227)(88, 228)(89, 229)(90, 230)(91, 231)(92, 232)(93, 233)(94, 234)(95, 235)(96, 236)(97, 237)(98, 238)(99, 239)(100, 240)(101, 241)(102, 242)(103, 243)(104, 244)(105, 245)(106, 246)(107, 247)(108, 248)(109, 249)(110, 250)(111, 251)(112, 252)(113, 253)(114, 254)(115, 255)(116, 256)(117, 257)(118, 258)(119, 259)(120, 260)(121, 261)(122, 262)(123, 263)(124, 264)(125, 265)(126, 266)(127, 267)(128, 268)(129, 269)(130, 270)(131, 271)(132, 272)(133, 273)(134, 274)(135, 275)(136, 276)(137, 277)(138, 278)(139, 279)(140, 280)
	local type(s) :: { ( 4, 70, 4, 70 ), ( 4, 70, 4, 70, 4, 70, 4, 70, 4, 70 ) }
Outer automorphisms :: reflexible
Dual of E28.1602
Graph:: simple bipartite
	v = 49 e = 140 f = 37
	degree seq :: [ 4^35, 10^14 ]

E28.1599 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 5, 35})
Quotient :: dipole
Aut^+ = D70 (small group id <70, 3>)
Aut   = D140 (small group id <140, 10>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y2)^2, (Y3, Y2^-1), (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1)^2, Y2^5, Y3^7 * Y2^-1, (Y2^-1 * Y3)^35 ]
Map:: non-degenerate
	R = (1, 71, 2, 72)(3, 73, 9, 79)(4, 74, 10, 80)(5, 75, 7, 77)(6, 76, 8, 78)(11, 81, 24, 94)(12, 82, 25, 95)(13, 83, 23, 93)(14, 84, 26, 96)(15, 85, 21, 91)(16, 86, 19, 89)(17, 87, 20, 90)(18, 88, 22, 92)(27, 97, 44, 114)(28, 98, 43, 113)(29, 99, 45, 115)(30, 100, 42, 112)(31, 101, 46, 116)(32, 102, 40, 110)(33, 103, 38, 108)(34, 104, 37, 107)(35, 105, 39, 109)(36, 106, 41, 111)(47, 117, 61, 131)(48, 118, 60, 130)(49, 119, 62, 132)(50, 120, 59, 129)(51, 121, 58, 128)(52, 122, 56, 126)(53, 123, 55, 125)(54, 124, 57, 127)(63, 133, 70, 140)(64, 134, 69, 139)(65, 135, 68, 138)(66, 136, 67, 137)(141, 211, 143, 213, 151, 221, 156, 226, 145, 215)(142, 212, 147, 217, 159, 229, 164, 234, 149, 219)(144, 214, 152, 222, 167, 237, 173, 243, 155, 225)(146, 216, 153, 223, 168, 238, 174, 244, 157, 227)(148, 218, 160, 230, 177, 247, 183, 253, 163, 233)(150, 220, 161, 231, 178, 248, 184, 254, 165, 235)(154, 224, 169, 239, 187, 257, 192, 262, 172, 242)(158, 228, 170, 240, 188, 258, 193, 263, 175, 245)(162, 232, 179, 249, 195, 265, 200, 270, 182, 252)(166, 236, 180, 250, 196, 266, 201, 271, 185, 255)(171, 241, 189, 259, 203, 273, 205, 275, 191, 261)(176, 246, 190, 260, 204, 274, 206, 276, 194, 264)(181, 251, 197, 267, 207, 277, 209, 279, 199, 269)(186, 256, 198, 268, 208, 278, 210, 280, 202, 272)
	L = (1, 144)(2, 148)(3, 152)(4, 154)(5, 155)(6, 141)(7, 160)(8, 162)(9, 163)(10, 142)(11, 167)(12, 169)(13, 143)(14, 171)(15, 172)(16, 173)(17, 145)(18, 146)(19, 177)(20, 179)(21, 147)(22, 181)(23, 182)(24, 183)(25, 149)(26, 150)(27, 187)(28, 151)(29, 189)(30, 153)(31, 190)(32, 191)(33, 192)(34, 156)(35, 157)(36, 158)(37, 195)(38, 159)(39, 197)(40, 161)(41, 198)(42, 199)(43, 200)(44, 164)(45, 165)(46, 166)(47, 203)(48, 168)(49, 204)(50, 170)(51, 176)(52, 205)(53, 174)(54, 175)(55, 207)(56, 178)(57, 208)(58, 180)(59, 186)(60, 209)(61, 184)(62, 185)(63, 206)(64, 188)(65, 194)(66, 193)(67, 210)(68, 196)(69, 202)(70, 201)(71, 211)(72, 212)(73, 213)(74, 214)(75, 215)(76, 216)(77, 217)(78, 218)(79, 219)(80, 220)(81, 221)(82, 222)(83, 223)(84, 224)(85, 225)(86, 226)(87, 227)(88, 228)(89, 229)(90, 230)(91, 231)(92, 232)(93, 233)(94, 234)(95, 235)(96, 236)(97, 237)(98, 238)(99, 239)(100, 240)(101, 241)(102, 242)(103, 243)(104, 244)(105, 245)(106, 246)(107, 247)(108, 248)(109, 249)(110, 250)(111, 251)(112, 252)(113, 253)(114, 254)(115, 255)(116, 256)(117, 257)(118, 258)(119, 259)(120, 260)(121, 261)(122, 262)(123, 263)(124, 264)(125, 265)(126, 266)(127, 267)(128, 268)(129, 269)(130, 270)(131, 271)(132, 272)(133, 273)(134, 274)(135, 275)(136, 276)(137, 277)(138, 278)(139, 279)(140, 280)
	local type(s) :: { ( 4, 70, 4, 70 ), ( 4, 70, 4, 70, 4, 70, 4, 70, 4, 70 ) }
Outer automorphisms :: reflexible
Dual of E28.1601
Graph:: simple bipartite
	v = 49 e = 140 f = 37
	degree seq :: [ 4^35, 10^14 ]

E28.1600 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 5, 35})
Quotient :: dipole
Aut^+ = D70 (small group id <70, 3>)
Aut   = D140 (small group id <140, 10>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3, Y1^-1), (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y3^2 * Y1^-5, Y3^7, (Y1^-1 * Y3^-1)^5 ]
Map:: non-degenerate
	R = (1, 71, 2, 72, 7, 77, 19, 89, 33, 103, 14, 84, 25, 95, 43, 113, 60, 130, 58, 128, 38, 108, 47, 117, 56, 126, 36, 106, 17, 87, 6, 76, 10, 80, 22, 92, 34, 104, 15, 85, 4, 74, 9, 79, 21, 91, 40, 110, 55, 125, 32, 102, 46, 116, 62, 132, 57, 127, 37, 107, 18, 88, 26, 96, 35, 105, 16, 86, 5, 75)(3, 73, 11, 81, 27, 97, 48, 118, 44, 114, 30, 100, 51, 121, 66, 136, 70, 140, 64, 134, 54, 124, 68, 138, 59, 129, 42, 112, 24, 94, 13, 83, 29, 99, 50, 120, 41, 111, 23, 93, 12, 82, 28, 98, 49, 119, 65, 135, 63, 133, 53, 123, 67, 137, 69, 139, 61, 131, 45, 115, 31, 101, 52, 122, 39, 109, 20, 90, 8, 78)(141, 211, 143, 213)(142, 212, 148, 218)(144, 214, 153, 223)(145, 215, 151, 221)(146, 216, 152, 222)(147, 217, 160, 230)(149, 219, 164, 234)(150, 220, 163, 233)(154, 224, 171, 241)(155, 225, 169, 239)(156, 226, 167, 237)(157, 227, 168, 238)(158, 228, 170, 240)(159, 229, 179, 249)(161, 231, 182, 252)(162, 232, 181, 251)(165, 235, 185, 255)(166, 236, 184, 254)(172, 242, 194, 264)(173, 243, 192, 262)(174, 244, 190, 260)(175, 245, 188, 258)(176, 246, 189, 259)(177, 247, 191, 261)(178, 248, 193, 263)(180, 250, 199, 269)(183, 253, 201, 271)(186, 256, 204, 274)(187, 257, 203, 273)(195, 265, 208, 278)(196, 266, 205, 275)(197, 267, 206, 276)(198, 268, 207, 277)(200, 270, 209, 279)(202, 272, 210, 280)
	L = (1, 144)(2, 149)(3, 152)(4, 154)(5, 155)(6, 141)(7, 161)(8, 163)(9, 165)(10, 142)(11, 168)(12, 170)(13, 143)(14, 172)(15, 173)(16, 174)(17, 145)(18, 146)(19, 180)(20, 181)(21, 183)(22, 147)(23, 184)(24, 148)(25, 186)(26, 150)(27, 189)(28, 191)(29, 151)(30, 193)(31, 153)(32, 178)(33, 195)(34, 159)(35, 162)(36, 156)(37, 157)(38, 158)(39, 190)(40, 200)(41, 188)(42, 160)(43, 202)(44, 203)(45, 164)(46, 187)(47, 166)(48, 205)(49, 206)(50, 167)(51, 207)(52, 169)(53, 194)(54, 171)(55, 198)(56, 175)(57, 176)(58, 177)(59, 179)(60, 197)(61, 182)(62, 196)(63, 204)(64, 185)(65, 210)(66, 209)(67, 208)(68, 192)(69, 199)(70, 201)(71, 211)(72, 212)(73, 213)(74, 214)(75, 215)(76, 216)(77, 217)(78, 218)(79, 219)(80, 220)(81, 221)(82, 222)(83, 223)(84, 224)(85, 225)(86, 226)(87, 227)(88, 228)(89, 229)(90, 230)(91, 231)(92, 232)(93, 233)(94, 234)(95, 235)(96, 236)(97, 237)(98, 238)(99, 239)(100, 240)(101, 241)(102, 242)(103, 243)(104, 244)(105, 245)(106, 246)(107, 247)(108, 248)(109, 249)(110, 250)(111, 251)(112, 252)(113, 253)(114, 254)(115, 255)(116, 256)(117, 257)(118, 258)(119, 259)(120, 260)(121, 261)(122, 262)(123, 263)(124, 264)(125, 265)(126, 266)(127, 267)(128, 268)(129, 269)(130, 270)(131, 271)(132, 272)(133, 273)(134, 274)(135, 275)(136, 276)(137, 277)(138, 278)(139, 279)(140, 280)
	local type(s) :: { ( 4, 10, 4, 10 ), ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E28.1596
Graph:: bipartite
	v = 37 e = 140 f = 49
	degree seq :: [ 4^35, 70^2 ]

E28.1601 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 5, 35})
Quotient :: dipole
Aut^+ = D70 (small group id <70, 3>)
Aut   = D140 (small group id <140, 10>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (Y1^-1 * Y2)^2, (R * Y1)^2, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^6, Y3 * Y1^-1 * Y3^5, (Y1^-1 * Y3^-1)^5 ]
Map:: non-degenerate
	R = (1, 71, 2, 72, 7, 77, 19, 89, 34, 104, 15, 85, 4, 74, 9, 79, 21, 91, 40, 110, 55, 125, 33, 103, 14, 84, 25, 95, 43, 113, 60, 130, 58, 128, 38, 108, 32, 102, 47, 117, 63, 133, 57, 127, 37, 107, 18, 88, 26, 96, 44, 114, 56, 126, 36, 106, 17, 87, 6, 76, 10, 80, 22, 92, 35, 105, 16, 86, 5, 75)(3, 73, 11, 81, 27, 97, 48, 118, 41, 111, 23, 93, 12, 82, 28, 98, 49, 119, 65, 135, 61, 131, 45, 115, 30, 100, 51, 121, 66, 136, 70, 140, 64, 134, 54, 124, 53, 123, 68, 138, 69, 139, 62, 132, 46, 116, 31, 101, 52, 122, 67, 137, 59, 129, 42, 112, 24, 94, 13, 83, 29, 99, 50, 120, 39, 109, 20, 90, 8, 78)(141, 211, 143, 213)(142, 212, 148, 218)(144, 214, 153, 223)(145, 215, 151, 221)(146, 216, 152, 222)(147, 217, 160, 230)(149, 219, 164, 234)(150, 220, 163, 233)(154, 224, 171, 241)(155, 225, 169, 239)(156, 226, 167, 237)(157, 227, 168, 238)(158, 228, 170, 240)(159, 229, 179, 249)(161, 231, 182, 252)(162, 232, 181, 251)(165, 235, 186, 256)(166, 236, 185, 255)(172, 242, 194, 264)(173, 243, 192, 262)(174, 244, 190, 260)(175, 245, 188, 258)(176, 246, 189, 259)(177, 247, 191, 261)(178, 248, 193, 263)(180, 250, 199, 269)(183, 253, 202, 272)(184, 254, 201, 271)(187, 257, 204, 274)(195, 265, 207, 277)(196, 266, 205, 275)(197, 267, 206, 276)(198, 268, 208, 278)(200, 270, 209, 279)(203, 273, 210, 280)
	L = (1, 144)(2, 149)(3, 152)(4, 154)(5, 155)(6, 141)(7, 161)(8, 163)(9, 165)(10, 142)(11, 168)(12, 170)(13, 143)(14, 172)(15, 173)(16, 174)(17, 145)(18, 146)(19, 180)(20, 181)(21, 183)(22, 147)(23, 185)(24, 148)(25, 187)(26, 150)(27, 189)(28, 191)(29, 151)(30, 193)(31, 153)(32, 166)(33, 178)(34, 195)(35, 159)(36, 156)(37, 157)(38, 158)(39, 188)(40, 200)(41, 201)(42, 160)(43, 203)(44, 162)(45, 194)(46, 164)(47, 184)(48, 205)(49, 206)(50, 167)(51, 208)(52, 169)(53, 192)(54, 171)(55, 198)(56, 175)(57, 176)(58, 177)(59, 179)(60, 197)(61, 204)(62, 182)(63, 196)(64, 186)(65, 210)(66, 209)(67, 190)(68, 207)(69, 199)(70, 202)(71, 211)(72, 212)(73, 213)(74, 214)(75, 215)(76, 216)(77, 217)(78, 218)(79, 219)(80, 220)(81, 221)(82, 222)(83, 223)(84, 224)(85, 225)(86, 226)(87, 227)(88, 228)(89, 229)(90, 230)(91, 231)(92, 232)(93, 233)(94, 234)(95, 235)(96, 236)(97, 237)(98, 238)(99, 239)(100, 240)(101, 241)(102, 242)(103, 243)(104, 244)(105, 245)(106, 246)(107, 247)(108, 248)(109, 249)(110, 250)(111, 251)(112, 252)(113, 253)(114, 254)(115, 255)(116, 256)(117, 257)(118, 258)(119, 259)(120, 260)(121, 261)(122, 262)(123, 263)(124, 264)(125, 265)(126, 266)(127, 267)(128, 268)(129, 269)(130, 270)(131, 271)(132, 272)(133, 273)(134, 274)(135, 275)(136, 276)(137, 277)(138, 278)(139, 279)(140, 280)
	local type(s) :: { ( 4, 10, 4, 10 ), ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E28.1599
Graph:: bipartite
	v = 37 e = 140 f = 49
	degree seq :: [ 4^35, 70^2 ]

E28.1602 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 5, 35})
Quotient :: dipole
Aut^+ = D70 (small group id <70, 3>)
Aut   = D140 (small group id <140, 10>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y1^-1), (Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y1^2 * Y3^-1 * Y1 * Y3^-2 * Y1, (Y1^-1 * Y3^-1)^5, Y1^2 * Y3 * Y1 * Y3^23 ]
Map:: non-degenerate
	R = (1, 71, 2, 72, 7, 77, 19, 89, 32, 102, 46, 116, 62, 132, 56, 126, 37, 107, 18, 88, 26, 96, 34, 104, 15, 85, 4, 74, 9, 79, 21, 91, 40, 110, 54, 124, 58, 128, 55, 125, 36, 106, 17, 87, 6, 76, 10, 80, 22, 92, 33, 103, 14, 84, 25, 95, 43, 113, 60, 130, 57, 127, 38, 108, 35, 105, 16, 86, 5, 75)(3, 73, 11, 81, 27, 97, 47, 117, 52, 122, 66, 136, 69, 139, 61, 131, 45, 115, 31, 101, 51, 121, 41, 111, 23, 93, 12, 82, 28, 98, 48, 118, 64, 134, 67, 137, 68, 138, 59, 129, 42, 112, 24, 94, 13, 83, 29, 99, 49, 119, 44, 114, 30, 100, 50, 120, 65, 135, 70, 140, 63, 133, 53, 123, 39, 109, 20, 90, 8, 78)(141, 211, 143, 213)(142, 212, 148, 218)(144, 214, 153, 223)(145, 215, 151, 221)(146, 216, 152, 222)(147, 217, 160, 230)(149, 219, 164, 234)(150, 220, 163, 233)(154, 224, 171, 241)(155, 225, 169, 239)(156, 226, 167, 237)(157, 227, 168, 238)(158, 228, 170, 240)(159, 229, 179, 249)(161, 231, 182, 252)(162, 232, 181, 251)(165, 235, 185, 255)(166, 236, 184, 254)(172, 242, 193, 263)(173, 243, 191, 261)(174, 244, 189, 259)(175, 245, 187, 257)(176, 246, 188, 258)(177, 247, 190, 260)(178, 248, 192, 262)(180, 250, 199, 269)(183, 253, 201, 271)(186, 256, 203, 273)(194, 264, 208, 278)(195, 265, 204, 274)(196, 266, 205, 275)(197, 267, 206, 276)(198, 268, 207, 277)(200, 270, 209, 279)(202, 272, 210, 280)
	L = (1, 144)(2, 149)(3, 152)(4, 154)(5, 155)(6, 141)(7, 161)(8, 163)(9, 165)(10, 142)(11, 168)(12, 170)(13, 143)(14, 172)(15, 173)(16, 174)(17, 145)(18, 146)(19, 180)(20, 181)(21, 183)(22, 147)(23, 184)(24, 148)(25, 186)(26, 150)(27, 188)(28, 190)(29, 151)(30, 192)(31, 153)(32, 194)(33, 159)(34, 162)(35, 166)(36, 156)(37, 157)(38, 158)(39, 191)(40, 200)(41, 189)(42, 160)(43, 202)(44, 187)(45, 164)(46, 198)(47, 204)(48, 205)(49, 167)(50, 206)(51, 169)(52, 207)(53, 171)(54, 197)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 196)(61, 182)(62, 195)(63, 185)(64, 210)(65, 209)(66, 208)(67, 203)(68, 193)(69, 199)(70, 201)(71, 211)(72, 212)(73, 213)(74, 214)(75, 215)(76, 216)(77, 217)(78, 218)(79, 219)(80, 220)(81, 221)(82, 222)(83, 223)(84, 224)(85, 225)(86, 226)(87, 227)(88, 228)(89, 229)(90, 230)(91, 231)(92, 232)(93, 233)(94, 234)(95, 235)(96, 236)(97, 237)(98, 238)(99, 239)(100, 240)(101, 241)(102, 242)(103, 243)(104, 244)(105, 245)(106, 246)(107, 247)(108, 248)(109, 249)(110, 250)(111, 251)(112, 252)(113, 253)(114, 254)(115, 255)(116, 256)(117, 257)(118, 258)(119, 259)(120, 260)(121, 261)(122, 262)(123, 263)(124, 264)(125, 265)(126, 266)(127, 267)(128, 268)(129, 269)(130, 270)(131, 271)(132, 272)(133, 273)(134, 274)(135, 275)(136, 276)(137, 277)(138, 278)(139, 279)(140, 280)
	local type(s) :: { ( 4, 10, 4, 10 ), ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E28.1598
Graph:: bipartite
	v = 37 e = 140 f = 49
	degree seq :: [ 4^35, 70^2 ]

E28.1603 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 5, 35})
Quotient :: dipole
Aut^+ = D70 (small group id <70, 3>)
Aut   = D140 (small group id <140, 10>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y1^-1, Y3), (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^2 * Y3^-3 * Y1, Y1^4 * Y3 * Y1^4, (Y1^-1 * Y3^-1)^5 ]
Map:: non-degenerate
	R = (1, 71, 2, 72, 7, 77, 19, 89, 39, 109, 56, 126, 36, 106, 17, 87, 6, 76, 10, 80, 22, 92, 32, 102, 47, 117, 63, 133, 57, 127, 37, 107, 18, 88, 26, 96, 33, 103, 14, 84, 25, 95, 44, 114, 61, 131, 58, 128, 38, 108, 34, 104, 15, 85, 4, 74, 9, 79, 21, 91, 41, 111, 55, 125, 35, 105, 16, 86, 5, 75)(3, 73, 11, 81, 27, 97, 48, 118, 65, 135, 60, 130, 43, 113, 24, 94, 13, 83, 29, 99, 50, 120, 53, 123, 68, 138, 69, 139, 62, 132, 46, 116, 31, 101, 52, 122, 45, 115, 30, 100, 51, 121, 67, 137, 70, 140, 64, 134, 54, 124, 42, 112, 23, 93, 12, 82, 28, 98, 49, 119, 66, 136, 59, 129, 40, 110, 20, 90, 8, 78)(141, 211, 143, 213)(142, 212, 148, 218)(144, 214, 153, 223)(145, 215, 151, 221)(146, 216, 152, 222)(147, 217, 160, 230)(149, 219, 164, 234)(150, 220, 163, 233)(154, 224, 171, 241)(155, 225, 169, 239)(156, 226, 167, 237)(157, 227, 168, 238)(158, 228, 170, 240)(159, 229, 180, 250)(161, 231, 183, 253)(162, 232, 182, 252)(165, 235, 186, 256)(166, 236, 185, 255)(172, 242, 194, 264)(173, 243, 192, 262)(174, 244, 190, 260)(175, 245, 188, 258)(176, 246, 189, 259)(177, 247, 191, 261)(178, 248, 193, 263)(179, 249, 199, 269)(181, 251, 200, 270)(184, 254, 202, 272)(187, 257, 204, 274)(195, 265, 205, 275)(196, 266, 206, 276)(197, 267, 207, 277)(198, 268, 208, 278)(201, 271, 209, 279)(203, 273, 210, 280)
	L = (1, 144)(2, 149)(3, 152)(4, 154)(5, 155)(6, 141)(7, 161)(8, 163)(9, 165)(10, 142)(11, 168)(12, 170)(13, 143)(14, 172)(15, 173)(16, 174)(17, 145)(18, 146)(19, 181)(20, 182)(21, 184)(22, 147)(23, 185)(24, 148)(25, 187)(26, 150)(27, 189)(28, 191)(29, 151)(30, 193)(31, 153)(32, 159)(33, 162)(34, 166)(35, 178)(36, 156)(37, 157)(38, 158)(39, 195)(40, 194)(41, 201)(42, 192)(43, 160)(44, 203)(45, 190)(46, 164)(47, 179)(48, 206)(49, 207)(50, 167)(51, 208)(52, 169)(53, 188)(54, 171)(55, 198)(56, 175)(57, 176)(58, 177)(59, 204)(60, 180)(61, 197)(62, 183)(63, 196)(64, 186)(65, 199)(66, 210)(67, 209)(68, 205)(69, 200)(70, 202)(71, 211)(72, 212)(73, 213)(74, 214)(75, 215)(76, 216)(77, 217)(78, 218)(79, 219)(80, 220)(81, 221)(82, 222)(83, 223)(84, 224)(85, 225)(86, 226)(87, 227)(88, 228)(89, 229)(90, 230)(91, 231)(92, 232)(93, 233)(94, 234)(95, 235)(96, 236)(97, 237)(98, 238)(99, 239)(100, 240)(101, 241)(102, 242)(103, 243)(104, 244)(105, 245)(106, 246)(107, 247)(108, 248)(109, 249)(110, 250)(111, 251)(112, 252)(113, 253)(114, 254)(115, 255)(116, 256)(117, 257)(118, 258)(119, 259)(120, 260)(121, 261)(122, 262)(123, 263)(124, 264)(125, 265)(126, 266)(127, 267)(128, 268)(129, 269)(130, 270)(131, 271)(132, 272)(133, 273)(134, 274)(135, 275)(136, 276)(137, 277)(138, 278)(139, 279)(140, 280)
	local type(s) :: { ( 4, 10, 4, 10 ), ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E28.1597
Graph:: bipartite
	v = 37 e = 140 f = 49
	degree seq :: [ 4^35, 70^2 ]

E28.1604 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {10, 10, 35})
Quotient :: edge
Aut^+ = C5 x D14 (small group id <70, 2>)
Aut   = D10 x D14 (small group id <140, 7>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2^-2 * T1^-3, T2^2 * T1 * T2^-2 * T1^-1, T1^-1 * T2^-1 * T1^2 * T2 * T1^-1, (T2^2 * T1^-1)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2 ]
Map:: non-degenerate
	R = (1, 3, 10, 20, 6, 19, 13, 30, 17, 5)(2, 7, 22, 34, 18, 14, 4, 12, 26, 8)(9, 27, 35, 33, 16, 31, 11, 29, 15, 28)(21, 36, 32, 40, 25, 39, 23, 38, 24, 37)(41, 51, 45, 55, 44, 54, 42, 53, 43, 52)(46, 56, 50, 60, 49, 59, 47, 58, 48, 57)(61, 69, 65, 67, 64, 68, 62, 66, 63, 70)(71, 72, 76, 88, 87, 96, 80, 92, 83, 74)(73, 79, 89, 86, 75, 85, 90, 105, 100, 81)(77, 91, 84, 95, 78, 94, 104, 102, 82, 93)(97, 111, 101, 114, 98, 113, 103, 115, 99, 112)(106, 116, 109, 119, 107, 118, 110, 120, 108, 117)(121, 131, 124, 134, 122, 133, 125, 135, 123, 132)(126, 136, 129, 139, 127, 138, 130, 140, 128, 137)
	L = (1, 71)(2, 72)(3, 73)(4, 74)(5, 75)(6, 76)(7, 77)(8, 78)(9, 79)(10, 80)(11, 81)(12, 82)(13, 83)(14, 84)(15, 85)(16, 86)(17, 87)(18, 88)(19, 89)(20, 90)(21, 91)(22, 92)(23, 93)(24, 94)(25, 95)(26, 96)(27, 97)(28, 98)(29, 99)(30, 100)(31, 101)(32, 102)(33, 103)(34, 104)(35, 105)(36, 106)(37, 107)(38, 108)(39, 109)(40, 110)(41, 111)(42, 112)(43, 113)(44, 114)(45, 115)(46, 116)(47, 117)(48, 118)(49, 119)(50, 120)(51, 121)(52, 122)(53, 123)(54, 124)(55, 125)(56, 126)(57, 127)(58, 128)(59, 129)(60, 130)(61, 131)(62, 132)(63, 133)(64, 134)(65, 135)(66, 136)(67, 137)(68, 138)(69, 139)(70, 140)
	local type(s) :: { ( 70^10 ) }
Outer automorphisms :: reflexible
Dual of E28.1611
Transitivity :: ET+
Graph:: bipartite
	v = 14 e = 70 f = 2
	degree seq :: [ 10^14 ]

E28.1605 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {10, 10, 35})
Quotient :: edge
Aut^+ = C5 x D14 (small group id <70, 2>)
Aut   = D10 x D14 (small group id <140, 7>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1)^2, (T1 * T2^-1)^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1 * T2 * T1^-2, T1^-1 * T2^2 * T1^2 * T2^-2 * T1^-1, T1^-1 * T2^-1 * T1 * T2^6, T2^-1 * T1^-1 * T2^-3 * T1^-1 * T2^-2 * T1^-2, T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-2 * T1^2 ]
Map:: non-degenerate
	R = (1, 3, 10, 25, 48, 38, 18, 6, 17, 37, 65, 66, 39, 19, 34, 61, 54, 70, 67, 40, 62, 50, 29, 43, 69, 68, 53, 28, 12, 21, 42, 59, 33, 15, 5)(2, 7, 20, 41, 45, 23, 9, 16, 35, 63, 58, 46, 24, 36, 60, 52, 32, 57, 47, 64, 51, 27, 14, 31, 56, 55, 30, 13, 4, 11, 26, 49, 44, 22, 8)(71, 72, 76, 86, 104, 130, 120, 97, 82, 74)(73, 79, 87, 106, 131, 121, 99, 83, 91, 78)(75, 81, 88, 77, 89, 105, 132, 122, 98, 84)(80, 94, 107, 134, 124, 100, 113, 92, 112, 93)(85, 101, 108, 96, 109, 90, 110, 133, 123, 102)(95, 117, 135, 125, 140, 114, 139, 115, 129, 116)(103, 127, 118, 126, 136, 119, 137, 111, 138, 128)
	L = (1, 71)(2, 72)(3, 73)(4, 74)(5, 75)(6, 76)(7, 77)(8, 78)(9, 79)(10, 80)(11, 81)(12, 82)(13, 83)(14, 84)(15, 85)(16, 86)(17, 87)(18, 88)(19, 89)(20, 90)(21, 91)(22, 92)(23, 93)(24, 94)(25, 95)(26, 96)(27, 97)(28, 98)(29, 99)(30, 100)(31, 101)(32, 102)(33, 103)(34, 104)(35, 105)(36, 106)(37, 107)(38, 108)(39, 109)(40, 110)(41, 111)(42, 112)(43, 113)(44, 114)(45, 115)(46, 116)(47, 117)(48, 118)(49, 119)(50, 120)(51, 121)(52, 122)(53, 123)(54, 124)(55, 125)(56, 126)(57, 127)(58, 128)(59, 129)(60, 130)(61, 131)(62, 132)(63, 133)(64, 134)(65, 135)(66, 136)(67, 137)(68, 138)(69, 139)(70, 140)
	local type(s) :: { ( 20^10 ), ( 20^35 ) }
Outer automorphisms :: reflexible
Dual of E28.1609
Transitivity :: ET+
Graph:: bipartite
	v = 9 e = 70 f = 7
	degree seq :: [ 10^7, 35^2 ]

E28.1606 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {10, 10, 35})
Quotient :: edge
Aut^+ = C5 x D14 (small group id <70, 2>)
Aut   = D10 x D14 (small group id <140, 7>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^-2 * T2 * T1^2 * T2^-1, T2 * T1^-1 * T2 * T1^-3, (T1 * T2^2)^2, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1, T2^-2 * T1^-1 * T2 * T1 * T2^-4 ]
Map:: non-degenerate
	R = (1, 3, 10, 30, 58, 50, 23, 41, 36, 53, 70, 68, 49, 35, 13, 24, 51, 69, 66, 45, 20, 6, 19, 44, 65, 67, 47, 21, 46, 25, 52, 64, 40, 17, 5)(2, 7, 22, 48, 55, 28, 9, 27, 16, 38, 62, 56, 29, 14, 4, 12, 33, 60, 57, 32, 11, 18, 42, 39, 63, 59, 31, 43, 34, 15, 37, 61, 54, 26, 8)(71, 72, 76, 88, 111, 97, 116, 104, 83, 74)(73, 79, 89, 113, 106, 84, 95, 78, 94, 81)(75, 85, 90, 82, 93, 77, 91, 112, 105, 86)(80, 99, 114, 96, 123, 102, 122, 98, 121, 101)(87, 109, 115, 108, 120, 107, 117, 103, 119, 92)(100, 127, 135, 125, 140, 129, 134, 126, 139, 124)(110, 130, 136, 118, 128, 133, 137, 132, 138, 131)
	L = (1, 71)(2, 72)(3, 73)(4, 74)(5, 75)(6, 76)(7, 77)(8, 78)(9, 79)(10, 80)(11, 81)(12, 82)(13, 83)(14, 84)(15, 85)(16, 86)(17, 87)(18, 88)(19, 89)(20, 90)(21, 91)(22, 92)(23, 93)(24, 94)(25, 95)(26, 96)(27, 97)(28, 98)(29, 99)(30, 100)(31, 101)(32, 102)(33, 103)(34, 104)(35, 105)(36, 106)(37, 107)(38, 108)(39, 109)(40, 110)(41, 111)(42, 112)(43, 113)(44, 114)(45, 115)(46, 116)(47, 117)(48, 118)(49, 119)(50, 120)(51, 121)(52, 122)(53, 123)(54, 124)(55, 125)(56, 126)(57, 127)(58, 128)(59, 129)(60, 130)(61, 131)(62, 132)(63, 133)(64, 134)(65, 135)(66, 136)(67, 137)(68, 138)(69, 139)(70, 140)
	local type(s) :: { ( 20^10 ), ( 20^35 ) }
Outer automorphisms :: reflexible
Dual of E28.1610
Transitivity :: ET+
Graph:: bipartite
	v = 9 e = 70 f = 7
	degree seq :: [ 10^7, 35^2 ]

E28.1607 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {10, 10, 35})
Quotient :: edge
Aut^+ = C5 x D14 (small group id <70, 2>)
Aut   = D10 x D14 (small group id <140, 7>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^2 * T2^-1 * T1^-1, T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-2, (T2 * T1^-1 * T2)^2, T2^2 * T1^-3 * T2^2 * T1, T2^2 * T1^-1 * T2^-4 * T1^-1 * T2 ]
Map:: non-degenerate
	R = (1, 3, 10, 30, 58, 50, 23, 49, 24, 51, 69, 66, 45, 20, 6, 19, 43, 65, 67, 46, 21, 13, 32, 53, 70, 68, 47, 35, 41, 25, 52, 64, 40, 17, 5)(2, 7, 22, 48, 55, 28, 9, 27, 44, 39, 63, 56, 29, 42, 18, 16, 38, 62, 57, 36, 14, 4, 12, 34, 60, 59, 33, 11, 31, 15, 37, 61, 54, 26, 8)(71, 72, 76, 88, 111, 101, 119, 97, 83, 74)(73, 79, 89, 84, 95, 78, 94, 112, 102, 81)(75, 85, 90, 114, 105, 82, 93, 77, 91, 86)(80, 99, 113, 103, 122, 98, 121, 106, 123, 96)(87, 104, 115, 92, 117, 108, 120, 107, 116, 109)(100, 127, 135, 124, 134, 126, 139, 129, 140, 125)(110, 132, 136, 131, 138, 133, 128, 130, 137, 118)
	L = (1, 71)(2, 72)(3, 73)(4, 74)(5, 75)(6, 76)(7, 77)(8, 78)(9, 79)(10, 80)(11, 81)(12, 82)(13, 83)(14, 84)(15, 85)(16, 86)(17, 87)(18, 88)(19, 89)(20, 90)(21, 91)(22, 92)(23, 93)(24, 94)(25, 95)(26, 96)(27, 97)(28, 98)(29, 99)(30, 100)(31, 101)(32, 102)(33, 103)(34, 104)(35, 105)(36, 106)(37, 107)(38, 108)(39, 109)(40, 110)(41, 111)(42, 112)(43, 113)(44, 114)(45, 115)(46, 116)(47, 117)(48, 118)(49, 119)(50, 120)(51, 121)(52, 122)(53, 123)(54, 124)(55, 125)(56, 126)(57, 127)(58, 128)(59, 129)(60, 130)(61, 131)(62, 132)(63, 133)(64, 134)(65, 135)(66, 136)(67, 137)(68, 138)(69, 139)(70, 140)
	local type(s) :: { ( 20^10 ), ( 20^35 ) }
Outer automorphisms :: reflexible
Dual of E28.1608
Transitivity :: ET+
Graph:: bipartite
	v = 9 e = 70 f = 7
	degree seq :: [ 10^7, 35^2 ]

E28.1608 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {10, 10, 35})
Quotient :: loop
Aut^+ = C5 x D14 (small group id <70, 2>)
Aut   = D10 x D14 (small group id <140, 7>)
|r| :: 2
Presentation :: [ F^2, T2^2 * T1^-2, (F * T2)^2, (F * T1)^2, T1^2 * T2^8, T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T2^-1 * T1^-1)^35 ]
Map:: non-degenerate
	R = (1, 71, 3, 73, 6, 76, 15, 85, 26, 96, 43, 113, 37, 107, 23, 93, 11, 81, 5, 75)(2, 72, 7, 77, 14, 84, 27, 97, 42, 112, 38, 108, 22, 92, 12, 82, 4, 74, 8, 78)(9, 79, 19, 89, 28, 98, 45, 115, 39, 109, 25, 95, 13, 83, 21, 91, 10, 80, 20, 90)(16, 86, 29, 99, 44, 114, 40, 110, 24, 94, 32, 102, 18, 88, 31, 101, 17, 87, 30, 100)(33, 103, 51, 121, 41, 111, 55, 125, 36, 106, 54, 124, 35, 105, 53, 123, 34, 104, 52, 122)(46, 116, 56, 126, 50, 120, 60, 130, 49, 119, 59, 129, 48, 118, 58, 128, 47, 117, 57, 127)(61, 131, 66, 136, 65, 135, 70, 140, 64, 134, 69, 139, 63, 133, 68, 138, 62, 132, 67, 137)
	L = (1, 72)(2, 76)(3, 79)(4, 71)(5, 80)(6, 84)(7, 86)(8, 87)(9, 85)(10, 73)(11, 74)(12, 88)(13, 75)(14, 96)(15, 98)(16, 97)(17, 77)(18, 78)(19, 103)(20, 104)(21, 105)(22, 81)(23, 83)(24, 82)(25, 106)(26, 112)(27, 114)(28, 113)(29, 116)(30, 117)(31, 118)(32, 119)(33, 115)(34, 89)(35, 90)(36, 91)(37, 92)(38, 94)(39, 93)(40, 120)(41, 95)(42, 107)(43, 109)(44, 108)(45, 111)(46, 110)(47, 99)(48, 100)(49, 101)(50, 102)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 125)(62, 121)(63, 122)(64, 123)(65, 124)(66, 130)(67, 126)(68, 127)(69, 128)(70, 129)
	local type(s) :: { ( 10, 35, 10, 35, 10, 35, 10, 35, 10, 35, 10, 35, 10, 35, 10, 35, 10, 35, 10, 35 ) }
Outer automorphisms :: reflexible
Dual of E28.1607
Transitivity :: ET+ VT+ AT
Graph::
	v = 7 e = 70 f = 9
	degree seq :: [ 20^7 ]

E28.1609 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {10, 10, 35})
Quotient :: loop
Aut^+ = C5 x D14 (small group id <70, 2>)
Aut   = D10 x D14 (small group id <140, 7>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2^-2 * T1^-3, T2^2 * T1 * T2^-2 * T1^-1, T1^-1 * T2^-1 * T1^2 * T2 * T1^-1, (T2^2 * T1^-1)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2 ]
Map:: non-degenerate
	R = (1, 71, 3, 73, 10, 80, 20, 90, 6, 76, 19, 89, 13, 83, 30, 100, 17, 87, 5, 75)(2, 72, 7, 77, 22, 92, 34, 104, 18, 88, 14, 84, 4, 74, 12, 82, 26, 96, 8, 78)(9, 79, 27, 97, 35, 105, 33, 103, 16, 86, 31, 101, 11, 81, 29, 99, 15, 85, 28, 98)(21, 91, 36, 106, 32, 102, 40, 110, 25, 95, 39, 109, 23, 93, 38, 108, 24, 94, 37, 107)(41, 111, 51, 121, 45, 115, 55, 125, 44, 114, 54, 124, 42, 112, 53, 123, 43, 113, 52, 122)(46, 116, 56, 126, 50, 120, 60, 130, 49, 119, 59, 129, 47, 117, 58, 128, 48, 118, 57, 127)(61, 131, 69, 139, 65, 135, 67, 137, 64, 134, 68, 138, 62, 132, 66, 136, 63, 133, 70, 140)
	L = (1, 72)(2, 76)(3, 79)(4, 71)(5, 85)(6, 88)(7, 91)(8, 94)(9, 89)(10, 92)(11, 73)(12, 93)(13, 74)(14, 95)(15, 90)(16, 75)(17, 96)(18, 87)(19, 86)(20, 105)(21, 84)(22, 83)(23, 77)(24, 104)(25, 78)(26, 80)(27, 111)(28, 113)(29, 112)(30, 81)(31, 114)(32, 82)(33, 115)(34, 102)(35, 100)(36, 116)(37, 118)(38, 117)(39, 119)(40, 120)(41, 101)(42, 97)(43, 103)(44, 98)(45, 99)(46, 109)(47, 106)(48, 110)(49, 107)(50, 108)(51, 131)(52, 133)(53, 132)(54, 134)(55, 135)(56, 136)(57, 138)(58, 137)(59, 139)(60, 140)(61, 124)(62, 121)(63, 125)(64, 122)(65, 123)(66, 129)(67, 126)(68, 130)(69, 127)(70, 128)
	local type(s) :: { ( 10, 35, 10, 35, 10, 35, 10, 35, 10, 35, 10, 35, 10, 35, 10, 35, 10, 35, 10, 35 ) }
Outer automorphisms :: reflexible
Dual of E28.1605
Transitivity :: ET+ VT+ AT
Graph::
	v = 7 e = 70 f = 9
	degree seq :: [ 20^7 ]

E28.1610 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {10, 10, 35})
Quotient :: loop
Aut^+ = C5 x D14 (small group id <70, 2>)
Aut   = D10 x D14 (small group id <140, 7>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-1 * T1^-2 * T2^-3, T1^-2 * T2^2 * T1^-2, T1^-1 * T2 * T1^2 * T2^-1 * T1^-1, (T2^-1 * T1^-1 * T2^-1)^2, T2^-1 * T1^-1 * T2^-1 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 71, 3, 73, 10, 80, 29, 99, 13, 83, 20, 90, 6, 76, 19, 89, 17, 87, 5, 75)(2, 72, 7, 77, 22, 92, 14, 84, 4, 74, 12, 82, 18, 88, 34, 104, 26, 96, 8, 78)(9, 79, 27, 97, 16, 86, 31, 101, 11, 81, 30, 100, 35, 105, 33, 103, 15, 85, 28, 98)(21, 91, 36, 106, 25, 95, 39, 109, 23, 93, 38, 108, 32, 102, 40, 110, 24, 94, 37, 107)(41, 111, 51, 121, 44, 114, 54, 124, 42, 112, 53, 123, 45, 115, 55, 125, 43, 113, 52, 122)(46, 116, 56, 126, 49, 119, 59, 129, 47, 117, 58, 128, 50, 120, 60, 130, 48, 118, 57, 127)(61, 131, 68, 138, 64, 134, 66, 136, 62, 132, 69, 139, 65, 135, 67, 137, 63, 133, 70, 140)
	L = (1, 72)(2, 76)(3, 79)(4, 71)(5, 85)(6, 88)(7, 91)(8, 94)(9, 89)(10, 92)(11, 73)(12, 93)(13, 74)(14, 95)(15, 90)(16, 75)(17, 96)(18, 80)(19, 105)(20, 81)(21, 104)(22, 87)(23, 77)(24, 82)(25, 78)(26, 83)(27, 111)(28, 113)(29, 86)(30, 112)(31, 114)(32, 84)(33, 115)(34, 102)(35, 99)(36, 116)(37, 118)(38, 117)(39, 119)(40, 120)(41, 103)(42, 97)(43, 100)(44, 98)(45, 101)(46, 110)(47, 106)(48, 108)(49, 107)(50, 109)(51, 131)(52, 133)(53, 132)(54, 134)(55, 135)(56, 136)(57, 138)(58, 137)(59, 139)(60, 140)(61, 125)(62, 121)(63, 123)(64, 122)(65, 124)(66, 130)(67, 126)(68, 128)(69, 127)(70, 129)
	local type(s) :: { ( 10, 35, 10, 35, 10, 35, 10, 35, 10, 35, 10, 35, 10, 35, 10, 35, 10, 35, 10, 35 ) }
Outer automorphisms :: reflexible
Dual of E28.1606
Transitivity :: ET+ VT+ AT
Graph::
	v = 7 e = 70 f = 9
	degree seq :: [ 20^7 ]

E28.1611 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {10, 10, 35})
Quotient :: loop
Aut^+ = C5 x D14 (small group id <70, 2>)
Aut   = D10 x D14 (small group id <140, 7>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1)^2, (T1 * T2^-1)^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1 * T2 * T1^-2, T1^-1 * T2^2 * T1^2 * T2^-2 * T1^-1, T1^-1 * T2^-1 * T1 * T2^6, T2^-1 * T1^-1 * T2^-3 * T1^-1 * T2^-2 * T1^-2, T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-2 * T1^2 ]
Map:: non-degenerate
	R = (1, 71, 3, 73, 10, 80, 25, 95, 48, 118, 38, 108, 18, 88, 6, 76, 17, 87, 37, 107, 65, 135, 66, 136, 39, 109, 19, 89, 34, 104, 61, 131, 54, 124, 70, 140, 67, 137, 40, 110, 62, 132, 50, 120, 29, 99, 43, 113, 69, 139, 68, 138, 53, 123, 28, 98, 12, 82, 21, 91, 42, 112, 59, 129, 33, 103, 15, 85, 5, 75)(2, 72, 7, 77, 20, 90, 41, 111, 45, 115, 23, 93, 9, 79, 16, 86, 35, 105, 63, 133, 58, 128, 46, 116, 24, 94, 36, 106, 60, 130, 52, 122, 32, 102, 57, 127, 47, 117, 64, 134, 51, 121, 27, 97, 14, 84, 31, 101, 56, 126, 55, 125, 30, 100, 13, 83, 4, 74, 11, 81, 26, 96, 49, 119, 44, 114, 22, 92, 8, 78)
	L = (1, 72)(2, 76)(3, 79)(4, 71)(5, 81)(6, 86)(7, 89)(8, 73)(9, 87)(10, 94)(11, 88)(12, 74)(13, 91)(14, 75)(15, 101)(16, 104)(17, 106)(18, 77)(19, 105)(20, 110)(21, 78)(22, 112)(23, 80)(24, 107)(25, 117)(26, 109)(27, 82)(28, 84)(29, 83)(30, 113)(31, 108)(32, 85)(33, 127)(34, 130)(35, 132)(36, 131)(37, 134)(38, 96)(39, 90)(40, 133)(41, 138)(42, 93)(43, 92)(44, 139)(45, 129)(46, 95)(47, 135)(48, 126)(49, 137)(50, 97)(51, 99)(52, 98)(53, 102)(54, 100)(55, 140)(56, 136)(57, 118)(58, 103)(59, 116)(60, 120)(61, 121)(62, 122)(63, 123)(64, 124)(65, 125)(66, 119)(67, 111)(68, 128)(69, 115)(70, 114)
	local type(s) :: { ( 10^70 ) }
Outer automorphisms :: reflexible
Dual of E28.1604
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 70 f = 14
	degree seq :: [ 70^2 ]

E28.1612 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 35})
Quotient :: dipole
Aut^+ = C5 x D14 (small group id <70, 2>)
Aut   = D10 x D14 (small group id <140, 7>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y1^-1 * Y3^-1, (R * Y3)^2, (R * Y1)^2, Y2^-2 * Y3 * Y1^-3, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y3 * Y2^-2 * Y1^-1, Y2 * Y3^2 * Y2^-1 * Y1 * Y3^-1, Y2^-1 * Y1 * Y2^-2 * Y3^-1 * Y2^-1, Y2^-1 * Y3 * Y1^-1 * Y2^-1 * Y1^-2, Y3 * Y2^4 * Y1^-1, Y2^-2 * Y1^6, Y2 * Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 71, 2, 72, 6, 76, 18, 88, 17, 87, 26, 96, 10, 80, 22, 92, 13, 83, 4, 74)(3, 73, 9, 79, 19, 89, 16, 86, 5, 75, 15, 85, 20, 90, 35, 105, 30, 100, 11, 81)(7, 77, 21, 91, 14, 84, 25, 95, 8, 78, 24, 94, 34, 104, 32, 102, 12, 82, 23, 93)(27, 97, 41, 111, 31, 101, 44, 114, 28, 98, 43, 113, 33, 103, 45, 115, 29, 99, 42, 112)(36, 106, 46, 116, 39, 109, 49, 119, 37, 107, 48, 118, 40, 110, 50, 120, 38, 108, 47, 117)(51, 121, 61, 131, 54, 124, 64, 134, 52, 122, 63, 133, 55, 125, 65, 135, 53, 123, 62, 132)(56, 126, 66, 136, 59, 129, 69, 139, 57, 127, 68, 138, 60, 130, 70, 140, 58, 128, 67, 137)(141, 211, 143, 213, 150, 220, 160, 230, 146, 216, 159, 229, 153, 223, 170, 240, 157, 227, 145, 215)(142, 212, 147, 217, 162, 232, 174, 244, 158, 228, 154, 224, 144, 214, 152, 222, 166, 236, 148, 218)(149, 219, 167, 237, 175, 245, 173, 243, 156, 226, 171, 241, 151, 221, 169, 239, 155, 225, 168, 238)(161, 231, 176, 246, 172, 242, 180, 250, 165, 235, 179, 249, 163, 233, 178, 248, 164, 234, 177, 247)(181, 251, 191, 261, 185, 255, 195, 265, 184, 254, 194, 264, 182, 252, 193, 263, 183, 253, 192, 262)(186, 256, 196, 266, 190, 260, 200, 270, 189, 259, 199, 269, 187, 257, 198, 268, 188, 258, 197, 267)(201, 271, 209, 279, 205, 275, 207, 277, 204, 274, 208, 278, 202, 272, 206, 276, 203, 273, 210, 280)
	L = (1, 144)(2, 141)(3, 151)(4, 153)(5, 156)(6, 142)(7, 163)(8, 165)(9, 143)(10, 166)(11, 170)(12, 172)(13, 162)(14, 161)(15, 145)(16, 159)(17, 158)(18, 146)(19, 149)(20, 155)(21, 147)(22, 150)(23, 152)(24, 148)(25, 154)(26, 157)(27, 182)(28, 184)(29, 185)(30, 175)(31, 181)(32, 174)(33, 183)(34, 164)(35, 160)(36, 187)(37, 189)(38, 190)(39, 186)(40, 188)(41, 167)(42, 169)(43, 168)(44, 171)(45, 173)(46, 176)(47, 178)(48, 177)(49, 179)(50, 180)(51, 202)(52, 204)(53, 205)(54, 201)(55, 203)(56, 207)(57, 209)(58, 210)(59, 206)(60, 208)(61, 191)(62, 193)(63, 192)(64, 194)(65, 195)(66, 196)(67, 198)(68, 197)(69, 199)(70, 200)(71, 211)(72, 212)(73, 213)(74, 214)(75, 215)(76, 216)(77, 217)(78, 218)(79, 219)(80, 220)(81, 221)(82, 222)(83, 223)(84, 224)(85, 225)(86, 226)(87, 227)(88, 228)(89, 229)(90, 230)(91, 231)(92, 232)(93, 233)(94, 234)(95, 235)(96, 236)(97, 237)(98, 238)(99, 239)(100, 240)(101, 241)(102, 242)(103, 243)(104, 244)(105, 245)(106, 246)(107, 247)(108, 248)(109, 249)(110, 250)(111, 251)(112, 252)(113, 253)(114, 254)(115, 255)(116, 256)(117, 257)(118, 258)(119, 259)(120, 260)(121, 261)(122, 262)(123, 263)(124, 264)(125, 265)(126, 266)(127, 267)(128, 268)(129, 269)(130, 270)(131, 271)(132, 272)(133, 273)(134, 274)(135, 275)(136, 276)(137, 277)(138, 278)(139, 279)(140, 280)
	local type(s) :: { ( 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70 ) }
Outer automorphisms :: reflexible
Dual of E28.1619
Graph:: bipartite
	v = 14 e = 140 f = 72
	degree seq :: [ 20^14 ]

E28.1613 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 35})
Quotient :: dipole
Aut^+ = C5 x D14 (small group id <70, 2>)
Aut   = D10 x D14 (small group id <140, 7>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, (Y2 * Y1^-1)^2, (Y1 * Y2^-1)^2, R * Y2 * R * Y3, (R * Y1)^2, Y1^-1 * Y2 * Y1^2 * Y2^-1 * Y1^-1, Y2^-1 * Y1^2 * Y2^-6, Y2^-1 * Y1^-2 * Y2^-2 * Y1^-1 * Y2^-3 * Y1^-1, Y1^10, (Y3^-1 * Y1^-1)^10 ]
Map::
	R = (1, 71, 2, 72, 6, 76, 16, 86, 34, 104, 60, 130, 50, 120, 27, 97, 12, 82, 4, 74)(3, 73, 9, 79, 17, 87, 36, 106, 61, 131, 51, 121, 29, 99, 13, 83, 21, 91, 8, 78)(5, 75, 11, 81, 18, 88, 7, 77, 19, 89, 35, 105, 62, 132, 52, 122, 28, 98, 14, 84)(10, 80, 24, 94, 37, 107, 64, 134, 54, 124, 30, 100, 43, 113, 22, 92, 42, 112, 23, 93)(15, 85, 31, 101, 38, 108, 26, 96, 39, 109, 20, 90, 40, 110, 63, 133, 53, 123, 32, 102)(25, 95, 47, 117, 65, 135, 55, 125, 70, 140, 44, 114, 69, 139, 45, 115, 59, 129, 46, 116)(33, 103, 57, 127, 48, 118, 56, 126, 66, 136, 49, 119, 67, 137, 41, 111, 68, 138, 58, 128)(141, 211, 143, 213, 150, 220, 165, 235, 188, 258, 178, 248, 158, 228, 146, 216, 157, 227, 177, 247, 205, 275, 206, 276, 179, 249, 159, 229, 174, 244, 201, 271, 194, 264, 210, 280, 207, 277, 180, 250, 202, 272, 190, 260, 169, 239, 183, 253, 209, 279, 208, 278, 193, 263, 168, 238, 152, 222, 161, 231, 182, 252, 199, 269, 173, 243, 155, 225, 145, 215)(142, 212, 147, 217, 160, 230, 181, 251, 185, 255, 163, 233, 149, 219, 156, 226, 175, 245, 203, 273, 198, 268, 186, 256, 164, 234, 176, 246, 200, 270, 192, 262, 172, 242, 197, 267, 187, 257, 204, 274, 191, 261, 167, 237, 154, 224, 171, 241, 196, 266, 195, 265, 170, 240, 153, 223, 144, 214, 151, 221, 166, 236, 189, 259, 184, 254, 162, 232, 148, 218)
	L = (1, 143)(2, 147)(3, 150)(4, 151)(5, 141)(6, 157)(7, 160)(8, 142)(9, 156)(10, 165)(11, 166)(12, 161)(13, 144)(14, 171)(15, 145)(16, 175)(17, 177)(18, 146)(19, 174)(20, 181)(21, 182)(22, 148)(23, 149)(24, 176)(25, 188)(26, 189)(27, 154)(28, 152)(29, 183)(30, 153)(31, 196)(32, 197)(33, 155)(34, 201)(35, 203)(36, 200)(37, 205)(38, 158)(39, 159)(40, 202)(41, 185)(42, 199)(43, 209)(44, 162)(45, 163)(46, 164)(47, 204)(48, 178)(49, 184)(50, 169)(51, 167)(52, 172)(53, 168)(54, 210)(55, 170)(56, 195)(57, 187)(58, 186)(59, 173)(60, 192)(61, 194)(62, 190)(63, 198)(64, 191)(65, 206)(66, 179)(67, 180)(68, 193)(69, 208)(70, 207)(71, 211)(72, 212)(73, 213)(74, 214)(75, 215)(76, 216)(77, 217)(78, 218)(79, 219)(80, 220)(81, 221)(82, 222)(83, 223)(84, 224)(85, 225)(86, 226)(87, 227)(88, 228)(89, 229)(90, 230)(91, 231)(92, 232)(93, 233)(94, 234)(95, 235)(96, 236)(97, 237)(98, 238)(99, 239)(100, 240)(101, 241)(102, 242)(103, 243)(104, 244)(105, 245)(106, 246)(107, 247)(108, 248)(109, 249)(110, 250)(111, 251)(112, 252)(113, 253)(114, 254)(115, 255)(116, 256)(117, 257)(118, 258)(119, 259)(120, 260)(121, 261)(122, 262)(123, 263)(124, 264)(125, 265)(126, 266)(127, 267)(128, 268)(129, 269)(130, 270)(131, 271)(132, 272)(133, 273)(134, 274)(135, 275)(136, 276)(137, 277)(138, 278)(139, 279)(140, 280)
	local type(s) :: { ( 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20 ), ( 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20 ) }
Outer automorphisms :: reflexible
Dual of E28.1618
Graph:: bipartite
	v = 9 e = 140 f = 77
	degree seq :: [ 20^7, 70^2 ]

E28.1614 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 35})
Quotient :: dipole
Aut^+ = C5 x D14 (small group id <70, 2>)
Aut   = D10 x D14 (small group id <140, 7>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y2 * Y1^-3 * Y2 * Y1^-1, Y2^-1 * Y1^-2 * Y2 * Y1^2, (Y2^2 * Y1)^2, Y2^2 * Y1^3 * Y2^2 * Y1^-1, Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-5, (Y3^-1 * Y1^-1)^10 ]
Map::
	R = (1, 71, 2, 72, 6, 76, 18, 88, 41, 111, 27, 97, 46, 116, 34, 104, 13, 83, 4, 74)(3, 73, 9, 79, 19, 89, 43, 113, 36, 106, 14, 84, 25, 95, 8, 78, 24, 94, 11, 81)(5, 75, 15, 85, 20, 90, 12, 82, 23, 93, 7, 77, 21, 91, 42, 112, 35, 105, 16, 86)(10, 80, 29, 99, 44, 114, 26, 96, 53, 123, 32, 102, 52, 122, 28, 98, 51, 121, 31, 101)(17, 87, 39, 109, 45, 115, 38, 108, 50, 120, 37, 107, 47, 117, 33, 103, 49, 119, 22, 92)(30, 100, 57, 127, 65, 135, 55, 125, 70, 140, 59, 129, 64, 134, 56, 126, 69, 139, 54, 124)(40, 110, 60, 130, 66, 136, 48, 118, 58, 128, 63, 133, 67, 137, 62, 132, 68, 138, 61, 131)(141, 211, 143, 213, 150, 220, 170, 240, 198, 268, 190, 260, 163, 233, 181, 251, 176, 246, 193, 263, 210, 280, 208, 278, 189, 259, 175, 245, 153, 223, 164, 234, 191, 261, 209, 279, 206, 276, 185, 255, 160, 230, 146, 216, 159, 229, 184, 254, 205, 275, 207, 277, 187, 257, 161, 231, 186, 256, 165, 235, 192, 262, 204, 274, 180, 250, 157, 227, 145, 215)(142, 212, 147, 217, 162, 232, 188, 258, 195, 265, 168, 238, 149, 219, 167, 237, 156, 226, 178, 248, 202, 272, 196, 266, 169, 239, 154, 224, 144, 214, 152, 222, 173, 243, 200, 270, 197, 267, 172, 242, 151, 221, 158, 228, 182, 252, 179, 249, 203, 273, 199, 269, 171, 241, 183, 253, 174, 244, 155, 225, 177, 247, 201, 271, 194, 264, 166, 236, 148, 218)
	L = (1, 143)(2, 147)(3, 150)(4, 152)(5, 141)(6, 159)(7, 162)(8, 142)(9, 167)(10, 170)(11, 158)(12, 173)(13, 164)(14, 144)(15, 177)(16, 178)(17, 145)(18, 182)(19, 184)(20, 146)(21, 186)(22, 188)(23, 181)(24, 191)(25, 192)(26, 148)(27, 156)(28, 149)(29, 154)(30, 198)(31, 183)(32, 151)(33, 200)(34, 155)(35, 153)(36, 193)(37, 201)(38, 202)(39, 203)(40, 157)(41, 176)(42, 179)(43, 174)(44, 205)(45, 160)(46, 165)(47, 161)(48, 195)(49, 175)(50, 163)(51, 209)(52, 204)(53, 210)(54, 166)(55, 168)(56, 169)(57, 172)(58, 190)(59, 171)(60, 197)(61, 194)(62, 196)(63, 199)(64, 180)(65, 207)(66, 185)(67, 187)(68, 189)(69, 206)(70, 208)(71, 211)(72, 212)(73, 213)(74, 214)(75, 215)(76, 216)(77, 217)(78, 218)(79, 219)(80, 220)(81, 221)(82, 222)(83, 223)(84, 224)(85, 225)(86, 226)(87, 227)(88, 228)(89, 229)(90, 230)(91, 231)(92, 232)(93, 233)(94, 234)(95, 235)(96, 236)(97, 237)(98, 238)(99, 239)(100, 240)(101, 241)(102, 242)(103, 243)(104, 244)(105, 245)(106, 246)(107, 247)(108, 248)(109, 249)(110, 250)(111, 251)(112, 252)(113, 253)(114, 254)(115, 255)(116, 256)(117, 257)(118, 258)(119, 259)(120, 260)(121, 261)(122, 262)(123, 263)(124, 264)(125, 265)(126, 266)(127, 267)(128, 268)(129, 269)(130, 270)(131, 271)(132, 272)(133, 273)(134, 274)(135, 275)(136, 276)(137, 277)(138, 278)(139, 279)(140, 280)
	local type(s) :: { ( 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20 ), ( 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20 ) }
Outer automorphisms :: reflexible
Dual of E28.1616
Graph:: bipartite
	v = 9 e = 140 f = 77
	degree seq :: [ 20^7, 70^2 ]

E28.1615 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 35})
Quotient :: dipole
Aut^+ = C5 x D14 (small group id <70, 2>)
Aut   = D10 x D14 (small group id <140, 7>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2 * Y1^2 * Y2^-1 * Y1^-1, Y1^3 * Y2 * Y1 * Y2, (Y2^-2 * Y1)^2, Y2^-1 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1, Y2^2 * Y1^-3 * Y2^2 * Y1, Y2^2 * Y1 * Y2^-3 * Y1 * Y2^2, (Y3^-1 * Y1^-1)^10 ]
Map::
	R = (1, 71, 2, 72, 6, 76, 18, 88, 41, 111, 31, 101, 49, 119, 27, 97, 13, 83, 4, 74)(3, 73, 9, 79, 19, 89, 14, 84, 25, 95, 8, 78, 24, 94, 42, 112, 32, 102, 11, 81)(5, 75, 15, 85, 20, 90, 44, 114, 35, 105, 12, 82, 23, 93, 7, 77, 21, 91, 16, 86)(10, 80, 29, 99, 43, 113, 33, 103, 52, 122, 28, 98, 51, 121, 36, 106, 53, 123, 26, 96)(17, 87, 34, 104, 45, 115, 22, 92, 47, 117, 38, 108, 50, 120, 37, 107, 46, 116, 39, 109)(30, 100, 57, 127, 65, 135, 54, 124, 64, 134, 56, 126, 69, 139, 59, 129, 70, 140, 55, 125)(40, 110, 62, 132, 66, 136, 61, 131, 68, 138, 63, 133, 58, 128, 60, 130, 67, 137, 48, 118)(141, 211, 143, 213, 150, 220, 170, 240, 198, 268, 190, 260, 163, 233, 189, 259, 164, 234, 191, 261, 209, 279, 206, 276, 185, 255, 160, 230, 146, 216, 159, 229, 183, 253, 205, 275, 207, 277, 186, 256, 161, 231, 153, 223, 172, 242, 193, 263, 210, 280, 208, 278, 187, 257, 175, 245, 181, 251, 165, 235, 192, 262, 204, 274, 180, 250, 157, 227, 145, 215)(142, 212, 147, 217, 162, 232, 188, 258, 195, 265, 168, 238, 149, 219, 167, 237, 184, 254, 179, 249, 203, 273, 196, 266, 169, 239, 182, 252, 158, 228, 156, 226, 178, 248, 202, 272, 197, 267, 176, 246, 154, 224, 144, 214, 152, 222, 174, 244, 200, 270, 199, 269, 173, 243, 151, 221, 171, 241, 155, 225, 177, 247, 201, 271, 194, 264, 166, 236, 148, 218)
	L = (1, 143)(2, 147)(3, 150)(4, 152)(5, 141)(6, 159)(7, 162)(8, 142)(9, 167)(10, 170)(11, 171)(12, 174)(13, 172)(14, 144)(15, 177)(16, 178)(17, 145)(18, 156)(19, 183)(20, 146)(21, 153)(22, 188)(23, 189)(24, 191)(25, 192)(26, 148)(27, 184)(28, 149)(29, 182)(30, 198)(31, 155)(32, 193)(33, 151)(34, 200)(35, 181)(36, 154)(37, 201)(38, 202)(39, 203)(40, 157)(41, 165)(42, 158)(43, 205)(44, 179)(45, 160)(46, 161)(47, 175)(48, 195)(49, 164)(50, 163)(51, 209)(52, 204)(53, 210)(54, 166)(55, 168)(56, 169)(57, 176)(58, 190)(59, 173)(60, 199)(61, 194)(62, 197)(63, 196)(64, 180)(65, 207)(66, 185)(67, 186)(68, 187)(69, 206)(70, 208)(71, 211)(72, 212)(73, 213)(74, 214)(75, 215)(76, 216)(77, 217)(78, 218)(79, 219)(80, 220)(81, 221)(82, 222)(83, 223)(84, 224)(85, 225)(86, 226)(87, 227)(88, 228)(89, 229)(90, 230)(91, 231)(92, 232)(93, 233)(94, 234)(95, 235)(96, 236)(97, 237)(98, 238)(99, 239)(100, 240)(101, 241)(102, 242)(103, 243)(104, 244)(105, 245)(106, 246)(107, 247)(108, 248)(109, 249)(110, 250)(111, 251)(112, 252)(113, 253)(114, 254)(115, 255)(116, 256)(117, 257)(118, 258)(119, 259)(120, 260)(121, 261)(122, 262)(123, 263)(124, 264)(125, 265)(126, 266)(127, 267)(128, 268)(129, 269)(130, 270)(131, 271)(132, 272)(133, 273)(134, 274)(135, 275)(136, 276)(137, 277)(138, 278)(139, 279)(140, 280)
	local type(s) :: { ( 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20 ), ( 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20 ) }
Outer automorphisms :: reflexible
Dual of E28.1617
Graph:: bipartite
	v = 9 e = 140 f = 77
	degree seq :: [ 20^7, 70^2 ]

E28.1616 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 35})
Quotient :: dipole
Aut^+ = C5 x D14 (small group id <70, 2>)
Aut   = D10 x D14 (small group id <140, 7>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2 * Y3)^2, (R * Y2 * Y3^-1)^2, (R * Y2^-2)^2, Y2^2 * Y3^-1 * Y2^-2 * Y3, Y3^-1 * Y2 * Y3 * Y2^-1 * Y3^-5, Y3^2 * Y2^-1 * Y3 * Y2^-2 * Y3 * Y2^-3, Y2^10, (Y3 * Y2^-1)^10, (Y3^-1 * Y1^-1)^35 ]
Map::
	R = (1, 71)(2, 72)(3, 73)(4, 74)(5, 75)(6, 76)(7, 77)(8, 78)(9, 79)(10, 80)(11, 81)(12, 82)(13, 83)(14, 84)(15, 85)(16, 86)(17, 87)(18, 88)(19, 89)(20, 90)(21, 91)(22, 92)(23, 93)(24, 94)(25, 95)(26, 96)(27, 97)(28, 98)(29, 99)(30, 100)(31, 101)(32, 102)(33, 103)(34, 104)(35, 105)(36, 106)(37, 107)(38, 108)(39, 109)(40, 110)(41, 111)(42, 112)(43, 113)(44, 114)(45, 115)(46, 116)(47, 117)(48, 118)(49, 119)(50, 120)(51, 121)(52, 122)(53, 123)(54, 124)(55, 125)(56, 126)(57, 127)(58, 128)(59, 129)(60, 130)(61, 131)(62, 132)(63, 133)(64, 134)(65, 135)(66, 136)(67, 137)(68, 138)(69, 139)(70, 140)(141, 211, 142, 212, 146, 216, 156, 226, 174, 244, 200, 270, 193, 263, 167, 237, 153, 223, 144, 214)(143, 213, 149, 219, 157, 227, 148, 218, 161, 231, 175, 245, 202, 272, 190, 260, 168, 238, 151, 221)(145, 215, 154, 224, 158, 228, 177, 247, 201, 271, 192, 262, 170, 240, 152, 222, 160, 230, 147, 217)(150, 220, 164, 234, 176, 246, 163, 233, 182, 252, 162, 232, 183, 253, 203, 273, 191, 261, 166, 236)(155, 225, 172, 242, 178, 248, 204, 274, 195, 265, 169, 239, 181, 251, 159, 229, 179, 249, 171, 241)(165, 235, 187, 257, 199, 269, 186, 256, 208, 278, 185, 255, 209, 279, 184, 254, 210, 280, 189, 259)(173, 243, 198, 268, 205, 275, 194, 264, 207, 277, 180, 250, 206, 276, 196, 266, 188, 258, 197, 267)
	L = (1, 143)(2, 147)(3, 150)(4, 152)(5, 141)(6, 157)(7, 159)(8, 142)(9, 144)(10, 165)(11, 167)(12, 169)(13, 168)(14, 171)(15, 145)(16, 154)(17, 176)(18, 146)(19, 180)(20, 153)(21, 182)(22, 148)(23, 149)(24, 151)(25, 188)(26, 190)(27, 192)(28, 191)(29, 194)(30, 193)(31, 196)(32, 197)(33, 155)(34, 161)(35, 156)(36, 199)(37, 172)(38, 158)(39, 160)(40, 185)(41, 170)(42, 208)(43, 209)(44, 162)(45, 163)(46, 164)(47, 166)(48, 179)(49, 203)(50, 200)(51, 210)(52, 204)(53, 202)(54, 186)(55, 201)(56, 184)(57, 189)(58, 187)(59, 173)(60, 177)(61, 174)(62, 183)(63, 175)(64, 198)(65, 178)(66, 181)(67, 195)(68, 205)(69, 207)(70, 206)(71, 211)(72, 212)(73, 213)(74, 214)(75, 215)(76, 216)(77, 217)(78, 218)(79, 219)(80, 220)(81, 221)(82, 222)(83, 223)(84, 224)(85, 225)(86, 226)(87, 227)(88, 228)(89, 229)(90, 230)(91, 231)(92, 232)(93, 233)(94, 234)(95, 235)(96, 236)(97, 237)(98, 238)(99, 239)(100, 240)(101, 241)(102, 242)(103, 243)(104, 244)(105, 245)(106, 246)(107, 247)(108, 248)(109, 249)(110, 250)(111, 251)(112, 252)(113, 253)(114, 254)(115, 255)(116, 256)(117, 257)(118, 258)(119, 259)(120, 260)(121, 261)(122, 262)(123, 263)(124, 264)(125, 265)(126, 266)(127, 267)(128, 268)(129, 269)(130, 270)(131, 271)(132, 272)(133, 273)(134, 274)(135, 275)(136, 276)(137, 277)(138, 278)(139, 279)(140, 280)
	local type(s) :: { ( 20, 70 ), ( 20, 70, 20, 70, 20, 70, 20, 70, 20, 70, 20, 70, 20, 70, 20, 70, 20, 70, 20, 70 ) }
Outer automorphisms :: reflexible
Dual of E28.1614
Graph:: simple bipartite
	v = 77 e = 140 f = 9
	degree seq :: [ 2^70, 20^7 ]

E28.1617 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 35})
Quotient :: dipole
Aut^+ = C5 x D14 (small group id <70, 2>)
Aut   = D10 x D14 (small group id <140, 7>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y3 * Y2^-3, Y3 * Y2^2 * Y3^-1 * Y2^-2, (Y2 * Y3^2)^2, Y3^2 * Y2^3 * Y3^2 * Y2^-1, Y3^-3 * Y2 * Y3 * Y2^-1 * Y3^-3, (Y3^-1 * Y1^-1)^35 ]
Map::
	R = (1, 71)(2, 72)(3, 73)(4, 74)(5, 75)(6, 76)(7, 77)(8, 78)(9, 79)(10, 80)(11, 81)(12, 82)(13, 83)(14, 84)(15, 85)(16, 86)(17, 87)(18, 88)(19, 89)(20, 90)(21, 91)(22, 92)(23, 93)(24, 94)(25, 95)(26, 96)(27, 97)(28, 98)(29, 99)(30, 100)(31, 101)(32, 102)(33, 103)(34, 104)(35, 105)(36, 106)(37, 107)(38, 108)(39, 109)(40, 110)(41, 111)(42, 112)(43, 113)(44, 114)(45, 115)(46, 116)(47, 117)(48, 118)(49, 119)(50, 120)(51, 121)(52, 122)(53, 123)(54, 124)(55, 125)(56, 126)(57, 127)(58, 128)(59, 129)(60, 130)(61, 131)(62, 132)(63, 133)(64, 134)(65, 135)(66, 136)(67, 137)(68, 138)(69, 139)(70, 140)(141, 211, 142, 212, 146, 216, 158, 228, 181, 251, 167, 237, 186, 256, 174, 244, 153, 223, 144, 214)(143, 213, 149, 219, 159, 229, 183, 253, 176, 246, 154, 224, 165, 235, 148, 218, 164, 234, 151, 221)(145, 215, 155, 225, 160, 230, 152, 222, 163, 233, 147, 217, 161, 231, 182, 252, 175, 245, 156, 226)(150, 220, 169, 239, 184, 254, 166, 236, 193, 263, 172, 242, 192, 262, 168, 238, 191, 261, 171, 241)(157, 227, 179, 249, 185, 255, 178, 248, 190, 260, 177, 247, 187, 257, 173, 243, 189, 259, 162, 232)(170, 240, 197, 267, 205, 275, 195, 265, 210, 280, 199, 269, 204, 274, 196, 266, 209, 279, 194, 264)(180, 250, 200, 270, 206, 276, 188, 258, 198, 268, 203, 273, 207, 277, 202, 272, 208, 278, 201, 271)
	L = (1, 143)(2, 147)(3, 150)(4, 152)(5, 141)(6, 159)(7, 162)(8, 142)(9, 167)(10, 170)(11, 158)(12, 173)(13, 164)(14, 144)(15, 177)(16, 178)(17, 145)(18, 182)(19, 184)(20, 146)(21, 186)(22, 188)(23, 181)(24, 191)(25, 192)(26, 148)(27, 156)(28, 149)(29, 154)(30, 198)(31, 183)(32, 151)(33, 200)(34, 155)(35, 153)(36, 193)(37, 201)(38, 202)(39, 203)(40, 157)(41, 176)(42, 179)(43, 174)(44, 205)(45, 160)(46, 165)(47, 161)(48, 195)(49, 175)(50, 163)(51, 209)(52, 204)(53, 210)(54, 166)(55, 168)(56, 169)(57, 172)(58, 190)(59, 171)(60, 197)(61, 194)(62, 196)(63, 199)(64, 180)(65, 207)(66, 185)(67, 187)(68, 189)(69, 206)(70, 208)(71, 211)(72, 212)(73, 213)(74, 214)(75, 215)(76, 216)(77, 217)(78, 218)(79, 219)(80, 220)(81, 221)(82, 222)(83, 223)(84, 224)(85, 225)(86, 226)(87, 227)(88, 228)(89, 229)(90, 230)(91, 231)(92, 232)(93, 233)(94, 234)(95, 235)(96, 236)(97, 237)(98, 238)(99, 239)(100, 240)(101, 241)(102, 242)(103, 243)(104, 244)(105, 245)(106, 246)(107, 247)(108, 248)(109, 249)(110, 250)(111, 251)(112, 252)(113, 253)(114, 254)(115, 255)(116, 256)(117, 257)(118, 258)(119, 259)(120, 260)(121, 261)(122, 262)(123, 263)(124, 264)(125, 265)(126, 266)(127, 267)(128, 268)(129, 269)(130, 270)(131, 271)(132, 272)(133, 273)(134, 274)(135, 275)(136, 276)(137, 277)(138, 278)(139, 279)(140, 280)
	local type(s) :: { ( 20, 70 ), ( 20, 70, 20, 70, 20, 70, 20, 70, 20, 70, 20, 70, 20, 70, 20, 70, 20, 70, 20, 70 ) }
Outer automorphisms :: reflexible
Dual of E28.1615
Graph:: simple bipartite
	v = 77 e = 140 f = 9
	degree seq :: [ 2^70, 20^7 ]

E28.1618 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 35})
Quotient :: dipole
Aut^+ = C5 x D14 (small group id <70, 2>)
Aut   = D10 x D14 (small group id <140, 7>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, Y2^3 * Y3 * Y2 * Y3, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-3, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y2)^2, Y3^2 * Y2^-3 * Y3^2 * Y2, Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3^2 * Y2 * Y3^-3 * Y2 * Y3^2, Y2 * Y3^-1 * Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-2 * Y3^-1, (Y3^-1 * Y1^-1)^35 ]
Map::
	R = (1, 71)(2, 72)(3, 73)(4, 74)(5, 75)(6, 76)(7, 77)(8, 78)(9, 79)(10, 80)(11, 81)(12, 82)(13, 83)(14, 84)(15, 85)(16, 86)(17, 87)(18, 88)(19, 89)(20, 90)(21, 91)(22, 92)(23, 93)(24, 94)(25, 95)(26, 96)(27, 97)(28, 98)(29, 99)(30, 100)(31, 101)(32, 102)(33, 103)(34, 104)(35, 105)(36, 106)(37, 107)(38, 108)(39, 109)(40, 110)(41, 111)(42, 112)(43, 113)(44, 114)(45, 115)(46, 116)(47, 117)(48, 118)(49, 119)(50, 120)(51, 121)(52, 122)(53, 123)(54, 124)(55, 125)(56, 126)(57, 127)(58, 128)(59, 129)(60, 130)(61, 131)(62, 132)(63, 133)(64, 134)(65, 135)(66, 136)(67, 137)(68, 138)(69, 139)(70, 140)(141, 211, 142, 212, 146, 216, 158, 228, 181, 251, 171, 241, 189, 259, 167, 237, 153, 223, 144, 214)(143, 213, 149, 219, 159, 229, 154, 224, 165, 235, 148, 218, 164, 234, 182, 252, 172, 242, 151, 221)(145, 215, 155, 225, 160, 230, 184, 254, 175, 245, 152, 222, 163, 233, 147, 217, 161, 231, 156, 226)(150, 220, 169, 239, 183, 253, 173, 243, 192, 262, 168, 238, 191, 261, 176, 246, 193, 263, 166, 236)(157, 227, 174, 244, 185, 255, 162, 232, 187, 257, 178, 248, 190, 260, 177, 247, 186, 256, 179, 249)(170, 240, 197, 267, 205, 275, 194, 264, 204, 274, 196, 266, 209, 279, 199, 269, 210, 280, 195, 265)(180, 250, 202, 272, 206, 276, 201, 271, 208, 278, 203, 273, 198, 268, 200, 270, 207, 277, 188, 258)
	L = (1, 143)(2, 147)(3, 150)(4, 152)(5, 141)(6, 159)(7, 162)(8, 142)(9, 167)(10, 170)(11, 171)(12, 174)(13, 172)(14, 144)(15, 177)(16, 178)(17, 145)(18, 156)(19, 183)(20, 146)(21, 153)(22, 188)(23, 189)(24, 191)(25, 192)(26, 148)(27, 184)(28, 149)(29, 182)(30, 198)(31, 155)(32, 193)(33, 151)(34, 200)(35, 181)(36, 154)(37, 201)(38, 202)(39, 203)(40, 157)(41, 165)(42, 158)(43, 205)(44, 179)(45, 160)(46, 161)(47, 175)(48, 195)(49, 164)(50, 163)(51, 209)(52, 204)(53, 210)(54, 166)(55, 168)(56, 169)(57, 176)(58, 190)(59, 173)(60, 199)(61, 194)(62, 197)(63, 196)(64, 180)(65, 207)(66, 185)(67, 186)(68, 187)(69, 206)(70, 208)(71, 211)(72, 212)(73, 213)(74, 214)(75, 215)(76, 216)(77, 217)(78, 218)(79, 219)(80, 220)(81, 221)(82, 222)(83, 223)(84, 224)(85, 225)(86, 226)(87, 227)(88, 228)(89, 229)(90, 230)(91, 231)(92, 232)(93, 233)(94, 234)(95, 235)(96, 236)(97, 237)(98, 238)(99, 239)(100, 240)(101, 241)(102, 242)(103, 243)(104, 244)(105, 245)(106, 246)(107, 247)(108, 248)(109, 249)(110, 250)(111, 251)(112, 252)(113, 253)(114, 254)(115, 255)(116, 256)(117, 257)(118, 258)(119, 259)(120, 260)(121, 261)(122, 262)(123, 263)(124, 264)(125, 265)(126, 266)(127, 267)(128, 268)(129, 269)(130, 270)(131, 271)(132, 272)(133, 273)(134, 274)(135, 275)(136, 276)(137, 277)(138, 278)(139, 279)(140, 280)
	local type(s) :: { ( 20, 70 ), ( 20, 70, 20, 70, 20, 70, 20, 70, 20, 70, 20, 70, 20, 70, 20, 70, 20, 70, 20, 70 ) }
Outer automorphisms :: reflexible
Dual of E28.1613
Graph:: simple bipartite
	v = 77 e = 140 f = 9
	degree seq :: [ 2^70, 20^7 ]

E28.1619 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 35})
Quotient :: dipole
Aut^+ = C5 x D14 (small group id <70, 2>)
Aut   = D10 x D14 (small group id <140, 7>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1^-1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y1 * Y3 * Y1 * Y3^-2, (R * Y2 * Y3^-1)^2, Y3 * Y1^-7 * Y3, Y3^-1 * Y1^-2 * Y3^-1 * Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, (Y3 * Y2^-1)^10 ]
Map::
	R = (1, 71, 2, 72, 6, 76, 16, 86, 34, 104, 48, 118, 25, 95, 10, 80, 20, 90, 38, 108, 61, 131, 70, 140, 47, 117, 24, 94, 42, 112, 63, 133, 59, 129, 67, 137, 69, 139, 46, 116, 66, 136, 57, 127, 33, 103, 44, 114, 64, 134, 68, 138, 55, 125, 31, 101, 15, 85, 22, 92, 40, 110, 52, 122, 28, 98, 12, 82, 4, 74)(3, 73, 9, 79, 23, 93, 45, 115, 39, 109, 18, 88, 7, 77, 19, 89, 41, 111, 65, 135, 53, 123, 36, 106, 17, 87, 37, 107, 62, 132, 54, 124, 29, 99, 51, 121, 35, 105, 60, 130, 56, 126, 30, 100, 13, 83, 27, 97, 50, 120, 58, 128, 32, 102, 14, 84, 5, 75, 11, 81, 26, 96, 49, 119, 43, 113, 21, 91, 8, 78)(141, 211)(142, 212)(143, 213)(144, 214)(145, 215)(146, 216)(147, 217)(148, 218)(149, 219)(150, 220)(151, 221)(152, 222)(153, 223)(154, 224)(155, 225)(156, 226)(157, 227)(158, 228)(159, 229)(160, 230)(161, 231)(162, 232)(163, 233)(164, 234)(165, 235)(166, 236)(167, 237)(168, 238)(169, 239)(170, 240)(171, 241)(172, 242)(173, 243)(174, 244)(175, 245)(176, 246)(177, 247)(178, 248)(179, 249)(180, 250)(181, 251)(182, 252)(183, 253)(184, 254)(185, 255)(186, 256)(187, 257)(188, 258)(189, 259)(190, 260)(191, 261)(192, 262)(193, 263)(194, 264)(195, 265)(196, 266)(197, 267)(198, 268)(199, 269)(200, 270)(201, 271)(202, 272)(203, 273)(204, 274)(205, 275)(206, 276)(207, 277)(208, 278)(209, 279)(210, 280)
	L = (1, 143)(2, 147)(3, 150)(4, 151)(5, 141)(6, 157)(7, 160)(8, 142)(9, 164)(10, 159)(11, 165)(12, 167)(13, 144)(14, 162)(15, 145)(16, 175)(17, 178)(18, 146)(19, 182)(20, 177)(21, 180)(22, 148)(23, 186)(24, 181)(25, 149)(26, 187)(27, 188)(28, 191)(29, 152)(30, 155)(31, 153)(32, 184)(33, 154)(34, 190)(35, 201)(36, 156)(37, 203)(38, 200)(39, 192)(40, 158)(41, 206)(42, 202)(43, 204)(44, 161)(45, 208)(46, 205)(47, 163)(48, 166)(49, 209)(50, 210)(51, 174)(52, 176)(53, 168)(54, 171)(55, 169)(56, 173)(57, 170)(58, 207)(59, 172)(60, 199)(61, 198)(62, 197)(63, 196)(64, 179)(65, 195)(66, 194)(67, 183)(68, 193)(69, 185)(70, 189)(71, 211)(72, 212)(73, 213)(74, 214)(75, 215)(76, 216)(77, 217)(78, 218)(79, 219)(80, 220)(81, 221)(82, 222)(83, 223)(84, 224)(85, 225)(86, 226)(87, 227)(88, 228)(89, 229)(90, 230)(91, 231)(92, 232)(93, 233)(94, 234)(95, 235)(96, 236)(97, 237)(98, 238)(99, 239)(100, 240)(101, 241)(102, 242)(103, 243)(104, 244)(105, 245)(106, 246)(107, 247)(108, 248)(109, 249)(110, 250)(111, 251)(112, 252)(113, 253)(114, 254)(115, 255)(116, 256)(117, 257)(118, 258)(119, 259)(120, 260)(121, 261)(122, 262)(123, 263)(124, 264)(125, 265)(126, 266)(127, 267)(128, 268)(129, 269)(130, 270)(131, 271)(132, 272)(133, 273)(134, 274)(135, 275)(136, 276)(137, 277)(138, 278)(139, 279)(140, 280)
	local type(s) :: { ( 20, 20 ), ( 20^70 ) }
Outer automorphisms :: reflexible
Dual of E28.1612
Graph:: simple bipartite
	v = 72 e = 140 f = 14
	degree seq :: [ 2^70, 70^2 ]

E28.1620 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {5, 70, 70})
Quotient :: edge
Aut^+ = C70 (small group id <70, 4>)
Aut   = D140 (small group id <140, 10>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^5, T1 * T2^14, (T1^-1 * T2^-1)^70 ]
Map:: non-degenerate
	R = (1, 3, 9, 18, 28, 38, 48, 58, 62, 52, 42, 32, 22, 12, 4, 10, 19, 29, 39, 49, 59, 67, 69, 61, 51, 41, 31, 21, 11, 20, 30, 40, 50, 60, 68, 70, 65, 55, 45, 35, 25, 15, 6, 14, 24, 34, 44, 54, 64, 66, 57, 47, 37, 27, 17, 8, 2, 7, 16, 26, 36, 46, 56, 63, 53, 43, 33, 23, 13, 5)(71, 72, 76, 81, 74)(73, 77, 84, 90, 80)(75, 78, 85, 91, 82)(79, 86, 94, 100, 89)(83, 87, 95, 101, 92)(88, 96, 104, 110, 99)(93, 97, 105, 111, 102)(98, 106, 114, 120, 109)(103, 107, 115, 121, 112)(108, 116, 124, 130, 119)(113, 117, 125, 131, 122)(118, 126, 134, 138, 129)(123, 127, 135, 139, 132)(128, 133, 136, 140, 137)
	L = (1, 71)(2, 72)(3, 73)(4, 74)(5, 75)(6, 76)(7, 77)(8, 78)(9, 79)(10, 80)(11, 81)(12, 82)(13, 83)(14, 84)(15, 85)(16, 86)(17, 87)(18, 88)(19, 89)(20, 90)(21, 91)(22, 92)(23, 93)(24, 94)(25, 95)(26, 96)(27, 97)(28, 98)(29, 99)(30, 100)(31, 101)(32, 102)(33, 103)(34, 104)(35, 105)(36, 106)(37, 107)(38, 108)(39, 109)(40, 110)(41, 111)(42, 112)(43, 113)(44, 114)(45, 115)(46, 116)(47, 117)(48, 118)(49, 119)(50, 120)(51, 121)(52, 122)(53, 123)(54, 124)(55, 125)(56, 126)(57, 127)(58, 128)(59, 129)(60, 130)(61, 131)(62, 132)(63, 133)(64, 134)(65, 135)(66, 136)(67, 137)(68, 138)(69, 139)(70, 140)
	local type(s) :: { ( 140^5 ), ( 140^70 ) }
Outer automorphisms :: reflexible
Dual of E28.1625
Transitivity :: ET+
Graph:: bipartite
	v = 15 e = 70 f = 1
	degree seq :: [ 5^14, 70 ]

E28.1621 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {5, 70, 70})
Quotient :: edge
Aut^+ = C70 (small group id <70, 4>)
Aut   = D140 (small group id <140, 10>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2^-1, T1), (F * T1)^2, T1^-5, T1^5, T2^14 * T1^-2, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 18, 28, 38, 48, 58, 65, 55, 45, 35, 25, 15, 6, 14, 24, 34, 44, 54, 64, 70, 62, 52, 42, 32, 22, 12, 4, 10, 19, 29, 39, 49, 59, 67, 57, 47, 37, 27, 17, 8, 2, 7, 16, 26, 36, 46, 56, 66, 69, 61, 51, 41, 31, 21, 11, 20, 30, 40, 50, 60, 68, 63, 53, 43, 33, 23, 13, 5)(71, 72, 76, 81, 74)(73, 77, 84, 90, 80)(75, 78, 85, 91, 82)(79, 86, 94, 100, 89)(83, 87, 95, 101, 92)(88, 96, 104, 110, 99)(93, 97, 105, 111, 102)(98, 106, 114, 120, 109)(103, 107, 115, 121, 112)(108, 116, 124, 130, 119)(113, 117, 125, 131, 122)(118, 126, 134, 138, 129)(123, 127, 135, 139, 132)(128, 136, 140, 133, 137)
	L = (1, 71)(2, 72)(3, 73)(4, 74)(5, 75)(6, 76)(7, 77)(8, 78)(9, 79)(10, 80)(11, 81)(12, 82)(13, 83)(14, 84)(15, 85)(16, 86)(17, 87)(18, 88)(19, 89)(20, 90)(21, 91)(22, 92)(23, 93)(24, 94)(25, 95)(26, 96)(27, 97)(28, 98)(29, 99)(30, 100)(31, 101)(32, 102)(33, 103)(34, 104)(35, 105)(36, 106)(37, 107)(38, 108)(39, 109)(40, 110)(41, 111)(42, 112)(43, 113)(44, 114)(45, 115)(46, 116)(47, 117)(48, 118)(49, 119)(50, 120)(51, 121)(52, 122)(53, 123)(54, 124)(55, 125)(56, 126)(57, 127)(58, 128)(59, 129)(60, 130)(61, 131)(62, 132)(63, 133)(64, 134)(65, 135)(66, 136)(67, 137)(68, 138)(69, 139)(70, 140)
	local type(s) :: { ( 140^5 ), ( 140^70 ) }
Outer automorphisms :: reflexible
Dual of E28.1624
Transitivity :: ET+
Graph:: bipartite
	v = 15 e = 70 f = 1
	degree seq :: [ 5^14, 70 ]

E28.1622 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {5, 70, 70})
Quotient :: edge
Aut^+ = C70 (small group id <70, 4>)
Aut   = D140 (small group id <140, 10>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-5, T1^5, T1^-2 * T2^-14, T2^-1 * T1 * T2^-6 * T1 * T2^-7 * T1, (T1^-1 * T2^-1)^70 ]
Map:: non-degenerate
	R = (1, 3, 9, 18, 28, 38, 48, 58, 68, 61, 51, 41, 31, 21, 11, 20, 30, 40, 50, 60, 70, 67, 57, 47, 37, 27, 17, 8, 2, 7, 16, 26, 36, 46, 56, 66, 62, 52, 42, 32, 22, 12, 4, 10, 19, 29, 39, 49, 59, 69, 65, 55, 45, 35, 25, 15, 6, 14, 24, 34, 44, 54, 64, 63, 53, 43, 33, 23, 13, 5)(71, 72, 76, 81, 74)(73, 77, 84, 90, 80)(75, 78, 85, 91, 82)(79, 86, 94, 100, 89)(83, 87, 95, 101, 92)(88, 96, 104, 110, 99)(93, 97, 105, 111, 102)(98, 106, 114, 120, 109)(103, 107, 115, 121, 112)(108, 116, 124, 130, 119)(113, 117, 125, 131, 122)(118, 126, 134, 140, 129)(123, 127, 135, 138, 132)(128, 136, 133, 137, 139)
	L = (1, 71)(2, 72)(3, 73)(4, 74)(5, 75)(6, 76)(7, 77)(8, 78)(9, 79)(10, 80)(11, 81)(12, 82)(13, 83)(14, 84)(15, 85)(16, 86)(17, 87)(18, 88)(19, 89)(20, 90)(21, 91)(22, 92)(23, 93)(24, 94)(25, 95)(26, 96)(27, 97)(28, 98)(29, 99)(30, 100)(31, 101)(32, 102)(33, 103)(34, 104)(35, 105)(36, 106)(37, 107)(38, 108)(39, 109)(40, 110)(41, 111)(42, 112)(43, 113)(44, 114)(45, 115)(46, 116)(47, 117)(48, 118)(49, 119)(50, 120)(51, 121)(52, 122)(53, 123)(54, 124)(55, 125)(56, 126)(57, 127)(58, 128)(59, 129)(60, 130)(61, 131)(62, 132)(63, 133)(64, 134)(65, 135)(66, 136)(67, 137)(68, 138)(69, 139)(70, 140)
	local type(s) :: { ( 140^5 ), ( 140^70 ) }
Outer automorphisms :: reflexible
Dual of E28.1626
Transitivity :: ET+
Graph:: bipartite
	v = 15 e = 70 f = 1
	degree seq :: [ 5^14, 70 ]

E28.1623 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {5, 70, 70})
Quotient :: edge
Aut^+ = C70 (small group id <70, 4>)
Aut   = D140 (small group id <140, 10>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^5 * T2^5, T1^-8 * T2^6, T2^38 * T1^-4, T2^70 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 51, 61, 70, 59, 46, 28, 14, 27, 45, 39, 23, 11, 21, 35, 53, 63, 67, 56, 50, 32, 18, 8, 2, 7, 17, 31, 49, 37, 55, 65, 69, 58, 44, 26, 43, 40, 24, 12, 4, 10, 20, 34, 52, 62, 66, 60, 48, 30, 16, 6, 15, 29, 47, 38, 22, 36, 54, 64, 68, 57, 42, 41, 25, 13, 5)(71, 72, 76, 84, 96, 112, 126, 136, 131, 125, 106, 91, 80, 73, 77, 85, 97, 113, 111, 120, 130, 140, 135, 124, 105, 90, 79, 87, 99, 115, 110, 95, 102, 118, 129, 139, 134, 123, 104, 89, 101, 117, 109, 94, 83, 88, 100, 116, 128, 138, 133, 122, 103, 119, 108, 93, 82, 75, 78, 86, 98, 114, 127, 137, 132, 121, 107, 92, 81, 74)
	L = (1, 71)(2, 72)(3, 73)(4, 74)(5, 75)(6, 76)(7, 77)(8, 78)(9, 79)(10, 80)(11, 81)(12, 82)(13, 83)(14, 84)(15, 85)(16, 86)(17, 87)(18, 88)(19, 89)(20, 90)(21, 91)(22, 92)(23, 93)(24, 94)(25, 95)(26, 96)(27, 97)(28, 98)(29, 99)(30, 100)(31, 101)(32, 102)(33, 103)(34, 104)(35, 105)(36, 106)(37, 107)(38, 108)(39, 109)(40, 110)(41, 111)(42, 112)(43, 113)(44, 114)(45, 115)(46, 116)(47, 117)(48, 118)(49, 119)(50, 120)(51, 121)(52, 122)(53, 123)(54, 124)(55, 125)(56, 126)(57, 127)(58, 128)(59, 129)(60, 130)(61, 131)(62, 132)(63, 133)(64, 134)(65, 135)(66, 136)(67, 137)(68, 138)(69, 139)(70, 140)
	local type(s) :: { ( 10^70 ) }
Outer automorphisms :: reflexible
Dual of E28.1627
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 70 f = 14
	degree seq :: [ 70^2 ]

E28.1624 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {5, 70, 70})
Quotient :: loop
Aut^+ = C70 (small group id <70, 4>)
Aut   = D140 (small group id <140, 10>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^5, T1 * T2^14, (T1^-1 * T2^-1)^70 ]
Map:: non-degenerate
	R = (1, 71, 3, 73, 9, 79, 18, 88, 28, 98, 38, 108, 48, 118, 58, 128, 62, 132, 52, 122, 42, 112, 32, 102, 22, 92, 12, 82, 4, 74, 10, 80, 19, 89, 29, 99, 39, 109, 49, 119, 59, 129, 67, 137, 69, 139, 61, 131, 51, 121, 41, 111, 31, 101, 21, 91, 11, 81, 20, 90, 30, 100, 40, 110, 50, 120, 60, 130, 68, 138, 70, 140, 65, 135, 55, 125, 45, 115, 35, 105, 25, 95, 15, 85, 6, 76, 14, 84, 24, 94, 34, 104, 44, 114, 54, 124, 64, 134, 66, 136, 57, 127, 47, 117, 37, 107, 27, 97, 17, 87, 8, 78, 2, 72, 7, 77, 16, 86, 26, 96, 36, 106, 46, 116, 56, 126, 63, 133, 53, 123, 43, 113, 33, 103, 23, 93, 13, 83, 5, 75)
	L = (1, 72)(2, 76)(3, 77)(4, 71)(5, 78)(6, 81)(7, 84)(8, 85)(9, 86)(10, 73)(11, 74)(12, 75)(13, 87)(14, 90)(15, 91)(16, 94)(17, 95)(18, 96)(19, 79)(20, 80)(21, 82)(22, 83)(23, 97)(24, 100)(25, 101)(26, 104)(27, 105)(28, 106)(29, 88)(30, 89)(31, 92)(32, 93)(33, 107)(34, 110)(35, 111)(36, 114)(37, 115)(38, 116)(39, 98)(40, 99)(41, 102)(42, 103)(43, 117)(44, 120)(45, 121)(46, 124)(47, 125)(48, 126)(49, 108)(50, 109)(51, 112)(52, 113)(53, 127)(54, 130)(55, 131)(56, 134)(57, 135)(58, 133)(59, 118)(60, 119)(61, 122)(62, 123)(63, 136)(64, 138)(65, 139)(66, 140)(67, 128)(68, 129)(69, 132)(70, 137)
	local type(s) :: { ( 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70 ) }
Outer automorphisms :: reflexible
Dual of E28.1621
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 70 f = 15
	degree seq :: [ 140 ]

E28.1625 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {5, 70, 70})
Quotient :: loop
Aut^+ = C70 (small group id <70, 4>)
Aut   = D140 (small group id <140, 10>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2^-1, T1), (F * T1)^2, T1^-5, T1^5, T2^14 * T1^-2, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 71, 3, 73, 9, 79, 18, 88, 28, 98, 38, 108, 48, 118, 58, 128, 65, 135, 55, 125, 45, 115, 35, 105, 25, 95, 15, 85, 6, 76, 14, 84, 24, 94, 34, 104, 44, 114, 54, 124, 64, 134, 70, 140, 62, 132, 52, 122, 42, 112, 32, 102, 22, 92, 12, 82, 4, 74, 10, 80, 19, 89, 29, 99, 39, 109, 49, 119, 59, 129, 67, 137, 57, 127, 47, 117, 37, 107, 27, 97, 17, 87, 8, 78, 2, 72, 7, 77, 16, 86, 26, 96, 36, 106, 46, 116, 56, 126, 66, 136, 69, 139, 61, 131, 51, 121, 41, 111, 31, 101, 21, 91, 11, 81, 20, 90, 30, 100, 40, 110, 50, 120, 60, 130, 68, 138, 63, 133, 53, 123, 43, 113, 33, 103, 23, 93, 13, 83, 5, 75)
	L = (1, 72)(2, 76)(3, 77)(4, 71)(5, 78)(6, 81)(7, 84)(8, 85)(9, 86)(10, 73)(11, 74)(12, 75)(13, 87)(14, 90)(15, 91)(16, 94)(17, 95)(18, 96)(19, 79)(20, 80)(21, 82)(22, 83)(23, 97)(24, 100)(25, 101)(26, 104)(27, 105)(28, 106)(29, 88)(30, 89)(31, 92)(32, 93)(33, 107)(34, 110)(35, 111)(36, 114)(37, 115)(38, 116)(39, 98)(40, 99)(41, 102)(42, 103)(43, 117)(44, 120)(45, 121)(46, 124)(47, 125)(48, 126)(49, 108)(50, 109)(51, 112)(52, 113)(53, 127)(54, 130)(55, 131)(56, 134)(57, 135)(58, 136)(59, 118)(60, 119)(61, 122)(62, 123)(63, 137)(64, 138)(65, 139)(66, 140)(67, 128)(68, 129)(69, 132)(70, 133)
	local type(s) :: { ( 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70 ) }
Outer automorphisms :: reflexible
Dual of E28.1620
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 70 f = 15
	degree seq :: [ 140 ]

E28.1626 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {5, 70, 70})
Quotient :: loop
Aut^+ = C70 (small group id <70, 4>)
Aut   = D140 (small group id <140, 10>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-5, T1^5, T1^-2 * T2^-14, T2^-1 * T1 * T2^-6 * T1 * T2^-7 * T1, (T1^-1 * T2^-1)^70 ]
Map:: non-degenerate
	R = (1, 71, 3, 73, 9, 79, 18, 88, 28, 98, 38, 108, 48, 118, 58, 128, 68, 138, 61, 131, 51, 121, 41, 111, 31, 101, 21, 91, 11, 81, 20, 90, 30, 100, 40, 110, 50, 120, 60, 130, 70, 140, 67, 137, 57, 127, 47, 117, 37, 107, 27, 97, 17, 87, 8, 78, 2, 72, 7, 77, 16, 86, 26, 96, 36, 106, 46, 116, 56, 126, 66, 136, 62, 132, 52, 122, 42, 112, 32, 102, 22, 92, 12, 82, 4, 74, 10, 80, 19, 89, 29, 99, 39, 109, 49, 119, 59, 129, 69, 139, 65, 135, 55, 125, 45, 115, 35, 105, 25, 95, 15, 85, 6, 76, 14, 84, 24, 94, 34, 104, 44, 114, 54, 124, 64, 134, 63, 133, 53, 123, 43, 113, 33, 103, 23, 93, 13, 83, 5, 75)
	L = (1, 72)(2, 76)(3, 77)(4, 71)(5, 78)(6, 81)(7, 84)(8, 85)(9, 86)(10, 73)(11, 74)(12, 75)(13, 87)(14, 90)(15, 91)(16, 94)(17, 95)(18, 96)(19, 79)(20, 80)(21, 82)(22, 83)(23, 97)(24, 100)(25, 101)(26, 104)(27, 105)(28, 106)(29, 88)(30, 89)(31, 92)(32, 93)(33, 107)(34, 110)(35, 111)(36, 114)(37, 115)(38, 116)(39, 98)(40, 99)(41, 102)(42, 103)(43, 117)(44, 120)(45, 121)(46, 124)(47, 125)(48, 126)(49, 108)(50, 109)(51, 112)(52, 113)(53, 127)(54, 130)(55, 131)(56, 134)(57, 135)(58, 136)(59, 118)(60, 119)(61, 122)(62, 123)(63, 137)(64, 140)(65, 138)(66, 133)(67, 139)(68, 132)(69, 128)(70, 129)
	local type(s) :: { ( 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70, 5, 70 ) }
Outer automorphisms :: reflexible
Dual of E28.1622
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 70 f = 15
	degree seq :: [ 140 ]

E28.1627 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {5, 70, 70})
Quotient :: loop
Aut^+ = C70 (small group id <70, 4>)
Aut   = D140 (small group id <140, 10>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^5, T1^14 * T2, (T1^-1 * T2^-1)^70 ]
Map:: non-degenerate
	R = (1, 71, 3, 73, 9, 79, 13, 83, 5, 75)(2, 72, 7, 77, 17, 87, 18, 88, 8, 78)(4, 74, 10, 80, 19, 89, 23, 93, 12, 82)(6, 76, 15, 85, 27, 97, 28, 98, 16, 86)(11, 81, 20, 90, 29, 99, 33, 103, 22, 92)(14, 84, 25, 95, 37, 107, 38, 108, 26, 96)(21, 91, 30, 100, 39, 109, 43, 113, 32, 102)(24, 94, 35, 105, 47, 117, 48, 118, 36, 106)(31, 101, 40, 110, 49, 119, 53, 123, 42, 112)(34, 104, 45, 115, 57, 127, 58, 128, 46, 116)(41, 111, 50, 120, 59, 129, 63, 133, 52, 122)(44, 114, 55, 125, 65, 135, 66, 136, 56, 126)(51, 121, 60, 130, 67, 137, 69, 139, 62, 132)(54, 124, 61, 131, 68, 138, 70, 140, 64, 134)
	L = (1, 72)(2, 76)(3, 77)(4, 71)(5, 78)(6, 84)(7, 85)(8, 86)(9, 87)(10, 73)(11, 74)(12, 75)(13, 88)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 132)(55, 131)(56, 134)(57, 135)(58, 136)(59, 119)(60, 120)(61, 121)(62, 122)(63, 123)(64, 139)(65, 138)(66, 140)(67, 129)(68, 130)(69, 133)(70, 137)
	local type(s) :: { ( 70^10 ) }
Outer automorphisms :: reflexible
Dual of E28.1623
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 14 e = 70 f = 2
	degree seq :: [ 10^14 ]

E28.1628 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 70, 70})
Quotient :: dipole
Aut^+ = C70 (small group id <70, 4>)
Aut   = D140 (small group id <140, 10>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2, Y1^-1), (Y3^-1, Y2^-1), Y1^5, Y2^14 * Y1, Y2^6 * Y3 * Y1^-1 * Y2^-6 * Y3^-2, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 71, 2, 72, 6, 76, 11, 81, 4, 74)(3, 73, 7, 77, 14, 84, 20, 90, 10, 80)(5, 75, 8, 78, 15, 85, 21, 91, 12, 82)(9, 79, 16, 86, 24, 94, 30, 100, 19, 89)(13, 83, 17, 87, 25, 95, 31, 101, 22, 92)(18, 88, 26, 96, 34, 104, 40, 110, 29, 99)(23, 93, 27, 97, 35, 105, 41, 111, 32, 102)(28, 98, 36, 106, 44, 114, 50, 120, 39, 109)(33, 103, 37, 107, 45, 115, 51, 121, 42, 112)(38, 108, 46, 116, 54, 124, 60, 130, 49, 119)(43, 113, 47, 117, 55, 125, 61, 131, 52, 122)(48, 118, 56, 126, 64, 134, 68, 138, 59, 129)(53, 123, 57, 127, 65, 135, 69, 139, 62, 132)(58, 128, 63, 133, 66, 136, 70, 140, 67, 137)(141, 211, 143, 213, 149, 219, 158, 228, 168, 238, 178, 248, 188, 258, 198, 268, 202, 272, 192, 262, 182, 252, 172, 242, 162, 232, 152, 222, 144, 214, 150, 220, 159, 229, 169, 239, 179, 249, 189, 259, 199, 269, 207, 277, 209, 279, 201, 271, 191, 261, 181, 251, 171, 241, 161, 231, 151, 221, 160, 230, 170, 240, 180, 250, 190, 260, 200, 270, 208, 278, 210, 280, 205, 275, 195, 265, 185, 255, 175, 245, 165, 235, 155, 225, 146, 216, 154, 224, 164, 234, 174, 244, 184, 254, 194, 264, 204, 274, 206, 276, 197, 267, 187, 257, 177, 247, 167, 237, 157, 227, 148, 218, 142, 212, 147, 217, 156, 226, 166, 236, 176, 246, 186, 256, 196, 266, 203, 273, 193, 263, 183, 253, 173, 243, 163, 233, 153, 223, 145, 215)
	L = (1, 144)(2, 141)(3, 150)(4, 151)(5, 152)(6, 142)(7, 143)(8, 145)(9, 159)(10, 160)(11, 146)(12, 161)(13, 162)(14, 147)(15, 148)(16, 149)(17, 153)(18, 169)(19, 170)(20, 154)(21, 155)(22, 171)(23, 172)(24, 156)(25, 157)(26, 158)(27, 163)(28, 179)(29, 180)(30, 164)(31, 165)(32, 181)(33, 182)(34, 166)(35, 167)(36, 168)(37, 173)(38, 189)(39, 190)(40, 174)(41, 175)(42, 191)(43, 192)(44, 176)(45, 177)(46, 178)(47, 183)(48, 199)(49, 200)(50, 184)(51, 185)(52, 201)(53, 202)(54, 186)(55, 187)(56, 188)(57, 193)(58, 207)(59, 208)(60, 194)(61, 195)(62, 209)(63, 198)(64, 196)(65, 197)(66, 203)(67, 210)(68, 204)(69, 205)(70, 206)(71, 211)(72, 212)(73, 213)(74, 214)(75, 215)(76, 216)(77, 217)(78, 218)(79, 219)(80, 220)(81, 221)(82, 222)(83, 223)(84, 224)(85, 225)(86, 226)(87, 227)(88, 228)(89, 229)(90, 230)(91, 231)(92, 232)(93, 233)(94, 234)(95, 235)(96, 236)(97, 237)(98, 238)(99, 239)(100, 240)(101, 241)(102, 242)(103, 243)(104, 244)(105, 245)(106, 246)(107, 247)(108, 248)(109, 249)(110, 250)(111, 251)(112, 252)(113, 253)(114, 254)(115, 255)(116, 256)(117, 257)(118, 258)(119, 259)(120, 260)(121, 261)(122, 262)(123, 263)(124, 264)(125, 265)(126, 266)(127, 267)(128, 268)(129, 269)(130, 270)(131, 271)(132, 272)(133, 273)(134, 274)(135, 275)(136, 276)(137, 277)(138, 278)(139, 279)(140, 280)
	local type(s) :: { ( 2, 140, 2, 140, 2, 140, 2, 140, 2, 140 ), ( 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140 ) }
Outer automorphisms :: reflexible
Dual of E28.1634
Graph:: bipartite
	v = 15 e = 140 f = 71
	degree seq :: [ 10^14, 140 ]

E28.1629 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 70, 70})
Quotient :: dipole
Aut^+ = C70 (small group id <70, 4>)
Aut   = D140 (small group id <140, 10>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y2^-1), (Y2, Y1^-1), Y1^5, Y3^-10, Y3^2 * Y2^-14, Y1 * Y2^-1 * Y1 * Y2^-6 * Y3^-1 * Y2^-7 ]
Map::
	R = (1, 71, 2, 72, 6, 76, 11, 81, 4, 74)(3, 73, 7, 77, 14, 84, 20, 90, 10, 80)(5, 75, 8, 78, 15, 85, 21, 91, 12, 82)(9, 79, 16, 86, 24, 94, 30, 100, 19, 89)(13, 83, 17, 87, 25, 95, 31, 101, 22, 92)(18, 88, 26, 96, 34, 104, 40, 110, 29, 99)(23, 93, 27, 97, 35, 105, 41, 111, 32, 102)(28, 98, 36, 106, 44, 114, 50, 120, 39, 109)(33, 103, 37, 107, 45, 115, 51, 121, 42, 112)(38, 108, 46, 116, 54, 124, 60, 130, 49, 119)(43, 113, 47, 117, 55, 125, 61, 131, 52, 122)(48, 118, 56, 126, 64, 134, 70, 140, 59, 129)(53, 123, 57, 127, 65, 135, 68, 138, 62, 132)(58, 128, 66, 136, 63, 133, 67, 137, 69, 139)(141, 211, 143, 213, 149, 219, 158, 228, 168, 238, 178, 248, 188, 258, 198, 268, 208, 278, 201, 271, 191, 261, 181, 251, 171, 241, 161, 231, 151, 221, 160, 230, 170, 240, 180, 250, 190, 260, 200, 270, 210, 280, 207, 277, 197, 267, 187, 257, 177, 247, 167, 237, 157, 227, 148, 218, 142, 212, 147, 217, 156, 226, 166, 236, 176, 246, 186, 256, 196, 266, 206, 276, 202, 272, 192, 262, 182, 252, 172, 242, 162, 232, 152, 222, 144, 214, 150, 220, 159, 229, 169, 239, 179, 249, 189, 259, 199, 269, 209, 279, 205, 275, 195, 265, 185, 255, 175, 245, 165, 235, 155, 225, 146, 216, 154, 224, 164, 234, 174, 244, 184, 254, 194, 264, 204, 274, 203, 273, 193, 263, 183, 253, 173, 243, 163, 233, 153, 223, 145, 215)
	L = (1, 144)(2, 141)(3, 150)(4, 151)(5, 152)(6, 142)(7, 143)(8, 145)(9, 159)(10, 160)(11, 146)(12, 161)(13, 162)(14, 147)(15, 148)(16, 149)(17, 153)(18, 169)(19, 170)(20, 154)(21, 155)(22, 171)(23, 172)(24, 156)(25, 157)(26, 158)(27, 163)(28, 179)(29, 180)(30, 164)(31, 165)(32, 181)(33, 182)(34, 166)(35, 167)(36, 168)(37, 173)(38, 189)(39, 190)(40, 174)(41, 175)(42, 191)(43, 192)(44, 176)(45, 177)(46, 178)(47, 183)(48, 199)(49, 200)(50, 184)(51, 185)(52, 201)(53, 202)(54, 186)(55, 187)(56, 188)(57, 193)(58, 209)(59, 210)(60, 194)(61, 195)(62, 208)(63, 206)(64, 196)(65, 197)(66, 198)(67, 203)(68, 205)(69, 207)(70, 204)(71, 211)(72, 212)(73, 213)(74, 214)(75, 215)(76, 216)(77, 217)(78, 218)(79, 219)(80, 220)(81, 221)(82, 222)(83, 223)(84, 224)(85, 225)(86, 226)(87, 227)(88, 228)(89, 229)(90, 230)(91, 231)(92, 232)(93, 233)(94, 234)(95, 235)(96, 236)(97, 237)(98, 238)(99, 239)(100, 240)(101, 241)(102, 242)(103, 243)(104, 244)(105, 245)(106, 246)(107, 247)(108, 248)(109, 249)(110, 250)(111, 251)(112, 252)(113, 253)(114, 254)(115, 255)(116, 256)(117, 257)(118, 258)(119, 259)(120, 260)(121, 261)(122, 262)(123, 263)(124, 264)(125, 265)(126, 266)(127, 267)(128, 268)(129, 269)(130, 270)(131, 271)(132, 272)(133, 273)(134, 274)(135, 275)(136, 276)(137, 277)(138, 278)(139, 279)(140, 280)
	local type(s) :: { ( 2, 140, 2, 140, 2, 140, 2, 140, 2, 140 ), ( 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140 ) }
Outer automorphisms :: reflexible
Dual of E28.1635
Graph:: bipartite
	v = 15 e = 140 f = 71
	degree seq :: [ 10^14, 140 ]

E28.1630 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 70, 70})
Quotient :: dipole
Aut^+ = C70 (small group id <70, 4>)
Aut   = D140 (small group id <140, 10>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2^-1, Y1^-1), (Y3^-1, Y2^-1), Y1^5, Y1 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1, (Y1^-2 * Y3)^5, Y2^5 * Y3 * Y2^9 * Y1^-1, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 71, 2, 72, 6, 76, 11, 81, 4, 74)(3, 73, 7, 77, 14, 84, 20, 90, 10, 80)(5, 75, 8, 78, 15, 85, 21, 91, 12, 82)(9, 79, 16, 86, 24, 94, 30, 100, 19, 89)(13, 83, 17, 87, 25, 95, 31, 101, 22, 92)(18, 88, 26, 96, 34, 104, 40, 110, 29, 99)(23, 93, 27, 97, 35, 105, 41, 111, 32, 102)(28, 98, 36, 106, 44, 114, 50, 120, 39, 109)(33, 103, 37, 107, 45, 115, 51, 121, 42, 112)(38, 108, 46, 116, 54, 124, 60, 130, 49, 119)(43, 113, 47, 117, 55, 125, 61, 131, 52, 122)(48, 118, 56, 126, 64, 134, 68, 138, 59, 129)(53, 123, 57, 127, 65, 135, 69, 139, 62, 132)(58, 128, 66, 136, 70, 140, 63, 133, 67, 137)(141, 211, 143, 213, 149, 219, 158, 228, 168, 238, 178, 248, 188, 258, 198, 268, 205, 275, 195, 265, 185, 255, 175, 245, 165, 235, 155, 225, 146, 216, 154, 224, 164, 234, 174, 244, 184, 254, 194, 264, 204, 274, 210, 280, 202, 272, 192, 262, 182, 252, 172, 242, 162, 232, 152, 222, 144, 214, 150, 220, 159, 229, 169, 239, 179, 249, 189, 259, 199, 269, 207, 277, 197, 267, 187, 257, 177, 247, 167, 237, 157, 227, 148, 218, 142, 212, 147, 217, 156, 226, 166, 236, 176, 246, 186, 256, 196, 266, 206, 276, 209, 279, 201, 271, 191, 261, 181, 251, 171, 241, 161, 231, 151, 221, 160, 230, 170, 240, 180, 250, 190, 260, 200, 270, 208, 278, 203, 273, 193, 263, 183, 253, 173, 243, 163, 233, 153, 223, 145, 215)
	L = (1, 144)(2, 141)(3, 150)(4, 151)(5, 152)(6, 142)(7, 143)(8, 145)(9, 159)(10, 160)(11, 146)(12, 161)(13, 162)(14, 147)(15, 148)(16, 149)(17, 153)(18, 169)(19, 170)(20, 154)(21, 155)(22, 171)(23, 172)(24, 156)(25, 157)(26, 158)(27, 163)(28, 179)(29, 180)(30, 164)(31, 165)(32, 181)(33, 182)(34, 166)(35, 167)(36, 168)(37, 173)(38, 189)(39, 190)(40, 174)(41, 175)(42, 191)(43, 192)(44, 176)(45, 177)(46, 178)(47, 183)(48, 199)(49, 200)(50, 184)(51, 185)(52, 201)(53, 202)(54, 186)(55, 187)(56, 188)(57, 193)(58, 207)(59, 208)(60, 194)(61, 195)(62, 209)(63, 210)(64, 196)(65, 197)(66, 198)(67, 203)(68, 204)(69, 205)(70, 206)(71, 211)(72, 212)(73, 213)(74, 214)(75, 215)(76, 216)(77, 217)(78, 218)(79, 219)(80, 220)(81, 221)(82, 222)(83, 223)(84, 224)(85, 225)(86, 226)(87, 227)(88, 228)(89, 229)(90, 230)(91, 231)(92, 232)(93, 233)(94, 234)(95, 235)(96, 236)(97, 237)(98, 238)(99, 239)(100, 240)(101, 241)(102, 242)(103, 243)(104, 244)(105, 245)(106, 246)(107, 247)(108, 248)(109, 249)(110, 250)(111, 251)(112, 252)(113, 253)(114, 254)(115, 255)(116, 256)(117, 257)(118, 258)(119, 259)(120, 260)(121, 261)(122, 262)(123, 263)(124, 264)(125, 265)(126, 266)(127, 267)(128, 268)(129, 269)(130, 270)(131, 271)(132, 272)(133, 273)(134, 274)(135, 275)(136, 276)(137, 277)(138, 278)(139, 279)(140, 280)
	local type(s) :: { ( 2, 140, 2, 140, 2, 140, 2, 140, 2, 140 ), ( 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140 ) }
Outer automorphisms :: reflexible
Dual of E28.1633
Graph:: bipartite
	v = 15 e = 140 f = 71
	degree seq :: [ 10^14, 140 ]

E28.1631 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 70, 70})
Quotient :: dipole
Aut^+ = C70 (small group id <70, 4>)
Aut   = D140 (small group id <140, 10>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2, Y1^-1), Y1^-1 * Y2^2 * Y1^2 * Y2^-2 * Y1^-1, Y2^5 * Y1^5, Y1^3 * Y2 * Y1^2 * Y2^4, Y1^-3 * Y2^-1 * Y1^-1 * Y2^-4 * Y1^-1, (Y3^-1 * Y1^-1)^5, Y1^-11 * Y2^3 ]
Map::
	R = (1, 71, 2, 72, 6, 76, 14, 84, 26, 96, 42, 112, 56, 126, 66, 136, 64, 134, 53, 123, 34, 104, 19, 89, 31, 101, 47, 117, 39, 109, 24, 94, 13, 83, 18, 88, 30, 100, 46, 116, 58, 128, 68, 138, 61, 131, 55, 125, 36, 106, 21, 91, 10, 80, 3, 73, 7, 77, 15, 85, 27, 97, 43, 113, 41, 111, 50, 120, 60, 130, 70, 140, 63, 133, 52, 122, 33, 103, 49, 119, 38, 108, 23, 93, 12, 82, 5, 75, 8, 78, 16, 86, 28, 98, 44, 114, 57, 127, 67, 137, 65, 135, 54, 124, 35, 105, 20, 90, 9, 79, 17, 87, 29, 99, 45, 115, 40, 110, 25, 95, 32, 102, 48, 118, 59, 129, 69, 139, 62, 132, 51, 121, 37, 107, 22, 92, 11, 81, 4, 74)(141, 211, 143, 213, 149, 219, 159, 229, 173, 243, 191, 261, 201, 271, 207, 277, 196, 266, 190, 260, 172, 242, 158, 228, 148, 218, 142, 212, 147, 217, 157, 227, 171, 241, 189, 259, 177, 247, 195, 265, 205, 275, 206, 276, 200, 270, 188, 258, 170, 240, 156, 226, 146, 216, 155, 225, 169, 239, 187, 257, 178, 248, 162, 232, 176, 246, 194, 264, 204, 274, 210, 280, 199, 269, 186, 256, 168, 238, 154, 224, 167, 237, 185, 255, 179, 249, 163, 233, 151, 221, 161, 231, 175, 245, 193, 263, 203, 273, 209, 279, 198, 268, 184, 254, 166, 236, 183, 253, 180, 250, 164, 234, 152, 222, 144, 214, 150, 220, 160, 230, 174, 244, 192, 262, 202, 272, 208, 278, 197, 267, 182, 252, 181, 251, 165, 235, 153, 223, 145, 215)
	L = (1, 143)(2, 147)(3, 149)(4, 150)(5, 141)(6, 155)(7, 157)(8, 142)(9, 159)(10, 160)(11, 161)(12, 144)(13, 145)(14, 167)(15, 169)(16, 146)(17, 171)(18, 148)(19, 173)(20, 174)(21, 175)(22, 176)(23, 151)(24, 152)(25, 153)(26, 183)(27, 185)(28, 154)(29, 187)(30, 156)(31, 189)(32, 158)(33, 191)(34, 192)(35, 193)(36, 194)(37, 195)(38, 162)(39, 163)(40, 164)(41, 165)(42, 181)(43, 180)(44, 166)(45, 179)(46, 168)(47, 178)(48, 170)(49, 177)(50, 172)(51, 201)(52, 202)(53, 203)(54, 204)(55, 205)(56, 190)(57, 182)(58, 184)(59, 186)(60, 188)(61, 207)(62, 208)(63, 209)(64, 210)(65, 206)(66, 200)(67, 196)(68, 197)(69, 198)(70, 199)(71, 211)(72, 212)(73, 213)(74, 214)(75, 215)(76, 216)(77, 217)(78, 218)(79, 219)(80, 220)(81, 221)(82, 222)(83, 223)(84, 224)(85, 225)(86, 226)(87, 227)(88, 228)(89, 229)(90, 230)(91, 231)(92, 232)(93, 233)(94, 234)(95, 235)(96, 236)(97, 237)(98, 238)(99, 239)(100, 240)(101, 241)(102, 242)(103, 243)(104, 244)(105, 245)(106, 246)(107, 247)(108, 248)(109, 249)(110, 250)(111, 251)(112, 252)(113, 253)(114, 254)(115, 255)(116, 256)(117, 257)(118, 258)(119, 259)(120, 260)(121, 261)(122, 262)(123, 263)(124, 264)(125, 265)(126, 266)(127, 267)(128, 268)(129, 269)(130, 270)(131, 271)(132, 272)(133, 273)(134, 274)(135, 275)(136, 276)(137, 277)(138, 278)(139, 279)(140, 280)
	local type(s) :: { ( 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10 ) }
Outer automorphisms :: reflexible
Dual of E28.1632
Graph:: bipartite
	v = 2 e = 140 f = 84
	degree seq :: [ 140^2 ]

E28.1632 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 70, 70})
Quotient :: dipole
Aut^+ = C70 (small group id <70, 4>)
Aut   = D140 (small group id <140, 10>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2, Y3^-1), Y2^5, Y3^-14 * Y2, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^70 ]
Map::
	R = (1, 71)(2, 72)(3, 73)(4, 74)(5, 75)(6, 76)(7, 77)(8, 78)(9, 79)(10, 80)(11, 81)(12, 82)(13, 83)(14, 84)(15, 85)(16, 86)(17, 87)(18, 88)(19, 89)(20, 90)(21, 91)(22, 92)(23, 93)(24, 94)(25, 95)(26, 96)(27, 97)(28, 98)(29, 99)(30, 100)(31, 101)(32, 102)(33, 103)(34, 104)(35, 105)(36, 106)(37, 107)(38, 108)(39, 109)(40, 110)(41, 111)(42, 112)(43, 113)(44, 114)(45, 115)(46, 116)(47, 117)(48, 118)(49, 119)(50, 120)(51, 121)(52, 122)(53, 123)(54, 124)(55, 125)(56, 126)(57, 127)(58, 128)(59, 129)(60, 130)(61, 131)(62, 132)(63, 133)(64, 134)(65, 135)(66, 136)(67, 137)(68, 138)(69, 139)(70, 140)(141, 211, 142, 212, 146, 216, 151, 221, 144, 214)(143, 213, 147, 217, 154, 224, 160, 230, 150, 220)(145, 215, 148, 218, 155, 225, 161, 231, 152, 222)(149, 219, 156, 226, 164, 234, 170, 240, 159, 229)(153, 223, 157, 227, 165, 235, 171, 241, 162, 232)(158, 228, 166, 236, 174, 244, 180, 250, 169, 239)(163, 233, 167, 237, 175, 245, 181, 251, 172, 242)(168, 238, 176, 246, 184, 254, 190, 260, 179, 249)(173, 243, 177, 247, 185, 255, 191, 261, 182, 252)(178, 248, 186, 256, 194, 264, 200, 270, 189, 259)(183, 253, 187, 257, 195, 265, 201, 271, 192, 262)(188, 258, 196, 266, 204, 274, 207, 277, 199, 269)(193, 263, 197, 267, 205, 275, 208, 278, 202, 272)(198, 268, 206, 276, 210, 280, 209, 279, 203, 273)
	L = (1, 143)(2, 147)(3, 149)(4, 150)(5, 141)(6, 154)(7, 156)(8, 142)(9, 158)(10, 159)(11, 160)(12, 144)(13, 145)(14, 164)(15, 146)(16, 166)(17, 148)(18, 168)(19, 169)(20, 170)(21, 151)(22, 152)(23, 153)(24, 174)(25, 155)(26, 176)(27, 157)(28, 178)(29, 179)(30, 180)(31, 161)(32, 162)(33, 163)(34, 184)(35, 165)(36, 186)(37, 167)(38, 188)(39, 189)(40, 190)(41, 171)(42, 172)(43, 173)(44, 194)(45, 175)(46, 196)(47, 177)(48, 198)(49, 199)(50, 200)(51, 181)(52, 182)(53, 183)(54, 204)(55, 185)(56, 206)(57, 187)(58, 197)(59, 203)(60, 207)(61, 191)(62, 192)(63, 193)(64, 210)(65, 195)(66, 205)(67, 209)(68, 201)(69, 202)(70, 208)(71, 211)(72, 212)(73, 213)(74, 214)(75, 215)(76, 216)(77, 217)(78, 218)(79, 219)(80, 220)(81, 221)(82, 222)(83, 223)(84, 224)(85, 225)(86, 226)(87, 227)(88, 228)(89, 229)(90, 230)(91, 231)(92, 232)(93, 233)(94, 234)(95, 235)(96, 236)(97, 237)(98, 238)(99, 239)(100, 240)(101, 241)(102, 242)(103, 243)(104, 244)(105, 245)(106, 246)(107, 247)(108, 248)(109, 249)(110, 250)(111, 251)(112, 252)(113, 253)(114, 254)(115, 255)(116, 256)(117, 257)(118, 258)(119, 259)(120, 260)(121, 261)(122, 262)(123, 263)(124, 264)(125, 265)(126, 266)(127, 267)(128, 268)(129, 269)(130, 270)(131, 271)(132, 272)(133, 273)(134, 274)(135, 275)(136, 276)(137, 277)(138, 278)(139, 279)(140, 280)
	local type(s) :: { ( 140, 140 ), ( 140^10 ) }
Outer automorphisms :: reflexible
Dual of E28.1631
Graph:: simple bipartite
	v = 84 e = 140 f = 2
	degree seq :: [ 2^70, 10^14 ]

E28.1633 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 70, 70})
Quotient :: dipole
Aut^+ = C70 (small group id <70, 4>)
Aut   = D140 (small group id <140, 10>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^5, Y3^-1 * Y1 * Y3^-1 * Y1^2 * Y3^-2 * Y1^-3 * Y3^-1, Y1^7 * Y3 * Y1^7, (Y1^-1 * Y3^-1)^70 ]
Map::
	R = (1, 71, 2, 72, 6, 76, 14, 84, 24, 94, 34, 104, 44, 114, 54, 124, 62, 132, 52, 122, 42, 112, 32, 102, 22, 92, 12, 82, 5, 75, 8, 78, 16, 86, 26, 96, 36, 106, 46, 116, 56, 126, 64, 134, 69, 139, 63, 133, 53, 123, 43, 113, 33, 103, 23, 93, 13, 83, 18, 88, 28, 98, 38, 108, 48, 118, 58, 128, 66, 136, 70, 140, 67, 137, 59, 129, 49, 119, 39, 109, 29, 99, 19, 89, 9, 79, 17, 87, 27, 97, 37, 107, 47, 117, 57, 127, 65, 135, 68, 138, 60, 130, 50, 120, 40, 110, 30, 100, 20, 90, 10, 80, 3, 73, 7, 77, 15, 85, 25, 95, 35, 105, 45, 115, 55, 125, 61, 131, 51, 121, 41, 111, 31, 101, 21, 91, 11, 81, 4, 74)(141, 211)(142, 212)(143, 213)(144, 214)(145, 215)(146, 216)(147, 217)(148, 218)(149, 219)(150, 220)(151, 221)(152, 222)(153, 223)(154, 224)(155, 225)(156, 226)(157, 227)(158, 228)(159, 229)(160, 230)(161, 231)(162, 232)(163, 233)(164, 234)(165, 235)(166, 236)(167, 237)(168, 238)(169, 239)(170, 240)(171, 241)(172, 242)(173, 243)(174, 244)(175, 245)(176, 246)(177, 247)(178, 248)(179, 249)(180, 250)(181, 251)(182, 252)(183, 253)(184, 254)(185, 255)(186, 256)(187, 257)(188, 258)(189, 259)(190, 260)(191, 261)(192, 262)(193, 263)(194, 264)(195, 265)(196, 266)(197, 267)(198, 268)(199, 269)(200, 270)(201, 271)(202, 272)(203, 273)(204, 274)(205, 275)(206, 276)(207, 277)(208, 278)(209, 279)(210, 280)
	L = (1, 143)(2, 147)(3, 149)(4, 150)(5, 141)(6, 155)(7, 157)(8, 142)(9, 153)(10, 159)(11, 160)(12, 144)(13, 145)(14, 165)(15, 167)(16, 146)(17, 158)(18, 148)(19, 163)(20, 169)(21, 170)(22, 151)(23, 152)(24, 175)(25, 177)(26, 154)(27, 168)(28, 156)(29, 173)(30, 179)(31, 180)(32, 161)(33, 162)(34, 185)(35, 187)(36, 164)(37, 178)(38, 166)(39, 183)(40, 189)(41, 190)(42, 171)(43, 172)(44, 195)(45, 197)(46, 174)(47, 188)(48, 176)(49, 193)(50, 199)(51, 200)(52, 181)(53, 182)(54, 201)(55, 205)(56, 184)(57, 198)(58, 186)(59, 203)(60, 207)(61, 208)(62, 191)(63, 192)(64, 194)(65, 206)(66, 196)(67, 209)(68, 210)(69, 202)(70, 204)(71, 211)(72, 212)(73, 213)(74, 214)(75, 215)(76, 216)(77, 217)(78, 218)(79, 219)(80, 220)(81, 221)(82, 222)(83, 223)(84, 224)(85, 225)(86, 226)(87, 227)(88, 228)(89, 229)(90, 230)(91, 231)(92, 232)(93, 233)(94, 234)(95, 235)(96, 236)(97, 237)(98, 238)(99, 239)(100, 240)(101, 241)(102, 242)(103, 243)(104, 244)(105, 245)(106, 246)(107, 247)(108, 248)(109, 249)(110, 250)(111, 251)(112, 252)(113, 253)(114, 254)(115, 255)(116, 256)(117, 257)(118, 258)(119, 259)(120, 260)(121, 261)(122, 262)(123, 263)(124, 264)(125, 265)(126, 266)(127, 267)(128, 268)(129, 269)(130, 270)(131, 271)(132, 272)(133, 273)(134, 274)(135, 275)(136, 276)(137, 277)(138, 278)(139, 279)(140, 280)
	local type(s) :: { ( 10, 140 ), ( 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140 ) }
Outer automorphisms :: reflexible
Dual of E28.1630
Graph:: bipartite
	v = 71 e = 140 f = 15
	degree seq :: [ 2^70, 140 ]

E28.1634 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 70, 70})
Quotient :: dipole
Aut^+ = C70 (small group id <70, 4>)
Aut   = D140 (small group id <140, 10>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), Y3^5, Y3^5, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^5, Y1^-14 * Y3^2, (Y1^-1 * Y3^-1)^70 ]
Map::
	R = (1, 71, 2, 72, 6, 76, 14, 84, 24, 94, 34, 104, 44, 114, 54, 124, 64, 134, 59, 129, 49, 119, 39, 109, 29, 99, 19, 89, 9, 79, 17, 87, 27, 97, 37, 107, 47, 117, 57, 127, 67, 137, 69, 139, 62, 132, 52, 122, 42, 112, 32, 102, 22, 92, 12, 82, 5, 75, 8, 78, 16, 86, 26, 96, 36, 106, 46, 116, 56, 126, 66, 136, 60, 130, 50, 120, 40, 110, 30, 100, 20, 90, 10, 80, 3, 73, 7, 77, 15, 85, 25, 95, 35, 105, 45, 115, 55, 125, 65, 135, 70, 140, 63, 133, 53, 123, 43, 113, 33, 103, 23, 93, 13, 83, 18, 88, 28, 98, 38, 108, 48, 118, 58, 128, 68, 138, 61, 131, 51, 121, 41, 111, 31, 101, 21, 91, 11, 81, 4, 74)(141, 211)(142, 212)(143, 213)(144, 214)(145, 215)(146, 216)(147, 217)(148, 218)(149, 219)(150, 220)(151, 221)(152, 222)(153, 223)(154, 224)(155, 225)(156, 226)(157, 227)(158, 228)(159, 229)(160, 230)(161, 231)(162, 232)(163, 233)(164, 234)(165, 235)(166, 236)(167, 237)(168, 238)(169, 239)(170, 240)(171, 241)(172, 242)(173, 243)(174, 244)(175, 245)(176, 246)(177, 247)(178, 248)(179, 249)(180, 250)(181, 251)(182, 252)(183, 253)(184, 254)(185, 255)(186, 256)(187, 257)(188, 258)(189, 259)(190, 260)(191, 261)(192, 262)(193, 263)(194, 264)(195, 265)(196, 266)(197, 267)(198, 268)(199, 269)(200, 270)(201, 271)(202, 272)(203, 273)(204, 274)(205, 275)(206, 276)(207, 277)(208, 278)(209, 279)(210, 280)
	L = (1, 143)(2, 147)(3, 149)(4, 150)(5, 141)(6, 155)(7, 157)(8, 142)(9, 153)(10, 159)(11, 160)(12, 144)(13, 145)(14, 165)(15, 167)(16, 146)(17, 158)(18, 148)(19, 163)(20, 169)(21, 170)(22, 151)(23, 152)(24, 175)(25, 177)(26, 154)(27, 168)(28, 156)(29, 173)(30, 179)(31, 180)(32, 161)(33, 162)(34, 185)(35, 187)(36, 164)(37, 178)(38, 166)(39, 183)(40, 189)(41, 190)(42, 171)(43, 172)(44, 195)(45, 197)(46, 174)(47, 188)(48, 176)(49, 193)(50, 199)(51, 200)(52, 181)(53, 182)(54, 205)(55, 207)(56, 184)(57, 198)(58, 186)(59, 203)(60, 204)(61, 206)(62, 191)(63, 192)(64, 210)(65, 209)(66, 194)(67, 208)(68, 196)(69, 201)(70, 202)(71, 211)(72, 212)(73, 213)(74, 214)(75, 215)(76, 216)(77, 217)(78, 218)(79, 219)(80, 220)(81, 221)(82, 222)(83, 223)(84, 224)(85, 225)(86, 226)(87, 227)(88, 228)(89, 229)(90, 230)(91, 231)(92, 232)(93, 233)(94, 234)(95, 235)(96, 236)(97, 237)(98, 238)(99, 239)(100, 240)(101, 241)(102, 242)(103, 243)(104, 244)(105, 245)(106, 246)(107, 247)(108, 248)(109, 249)(110, 250)(111, 251)(112, 252)(113, 253)(114, 254)(115, 255)(116, 256)(117, 257)(118, 258)(119, 259)(120, 260)(121, 261)(122, 262)(123, 263)(124, 264)(125, 265)(126, 266)(127, 267)(128, 268)(129, 269)(130, 270)(131, 271)(132, 272)(133, 273)(134, 274)(135, 275)(136, 276)(137, 277)(138, 278)(139, 279)(140, 280)
	local type(s) :: { ( 10, 140 ), ( 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140 ) }
Outer automorphisms :: reflexible
Dual of E28.1628
Graph:: bipartite
	v = 71 e = 140 f = 15
	degree seq :: [ 2^70, 140 ]

E28.1635 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 70, 70})
Quotient :: dipole
Aut^+ = C70 (small group id <70, 4>)
Aut   = D140 (small group id <140, 10>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (Y3, Y1), (R * Y1)^2, Y3^5, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^5, Y3^-2 * Y1^-14 ]
Map::
	R = (1, 71, 2, 72, 6, 76, 14, 84, 24, 94, 34, 104, 44, 114, 54, 124, 64, 134, 63, 133, 53, 123, 43, 113, 33, 103, 23, 93, 13, 83, 18, 88, 28, 98, 38, 108, 48, 118, 58, 128, 68, 138, 70, 140, 60, 130, 50, 120, 40, 110, 30, 100, 20, 90, 10, 80, 3, 73, 7, 77, 15, 85, 25, 95, 35, 105, 45, 115, 55, 125, 65, 135, 62, 132, 52, 122, 42, 112, 32, 102, 22, 92, 12, 82, 5, 75, 8, 78, 16, 86, 26, 96, 36, 106, 46, 116, 56, 126, 66, 136, 69, 139, 59, 129, 49, 119, 39, 109, 29, 99, 19, 89, 9, 79, 17, 87, 27, 97, 37, 107, 47, 117, 57, 127, 67, 137, 61, 131, 51, 121, 41, 111, 31, 101, 21, 91, 11, 81, 4, 74)(141, 211)(142, 212)(143, 213)(144, 214)(145, 215)(146, 216)(147, 217)(148, 218)(149, 219)(150, 220)(151, 221)(152, 222)(153, 223)(154, 224)(155, 225)(156, 226)(157, 227)(158, 228)(159, 229)(160, 230)(161, 231)(162, 232)(163, 233)(164, 234)(165, 235)(166, 236)(167, 237)(168, 238)(169, 239)(170, 240)(171, 241)(172, 242)(173, 243)(174, 244)(175, 245)(176, 246)(177, 247)(178, 248)(179, 249)(180, 250)(181, 251)(182, 252)(183, 253)(184, 254)(185, 255)(186, 256)(187, 257)(188, 258)(189, 259)(190, 260)(191, 261)(192, 262)(193, 263)(194, 264)(195, 265)(196, 266)(197, 267)(198, 268)(199, 269)(200, 270)(201, 271)(202, 272)(203, 273)(204, 274)(205, 275)(206, 276)(207, 277)(208, 278)(209, 279)(210, 280)
	L = (1, 143)(2, 147)(3, 149)(4, 150)(5, 141)(6, 155)(7, 157)(8, 142)(9, 153)(10, 159)(11, 160)(12, 144)(13, 145)(14, 165)(15, 167)(16, 146)(17, 158)(18, 148)(19, 163)(20, 169)(21, 170)(22, 151)(23, 152)(24, 175)(25, 177)(26, 154)(27, 168)(28, 156)(29, 173)(30, 179)(31, 180)(32, 161)(33, 162)(34, 185)(35, 187)(36, 164)(37, 178)(38, 166)(39, 183)(40, 189)(41, 190)(42, 171)(43, 172)(44, 195)(45, 197)(46, 174)(47, 188)(48, 176)(49, 193)(50, 199)(51, 200)(52, 181)(53, 182)(54, 205)(55, 207)(56, 184)(57, 198)(58, 186)(59, 203)(60, 209)(61, 210)(62, 191)(63, 192)(64, 202)(65, 201)(66, 194)(67, 208)(68, 196)(69, 204)(70, 206)(71, 211)(72, 212)(73, 213)(74, 214)(75, 215)(76, 216)(77, 217)(78, 218)(79, 219)(80, 220)(81, 221)(82, 222)(83, 223)(84, 224)(85, 225)(86, 226)(87, 227)(88, 228)(89, 229)(90, 230)(91, 231)(92, 232)(93, 233)(94, 234)(95, 235)(96, 236)(97, 237)(98, 238)(99, 239)(100, 240)(101, 241)(102, 242)(103, 243)(104, 244)(105, 245)(106, 246)(107, 247)(108, 248)(109, 249)(110, 250)(111, 251)(112, 252)(113, 253)(114, 254)(115, 255)(116, 256)(117, 257)(118, 258)(119, 259)(120, 260)(121, 261)(122, 262)(123, 263)(124, 264)(125, 265)(126, 266)(127, 267)(128, 268)(129, 269)(130, 270)(131, 271)(132, 272)(133, 273)(134, 274)(135, 275)(136, 276)(137, 277)(138, 278)(139, 279)(140, 280)
	local type(s) :: { ( 10, 140 ), ( 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140, 10, 140 ) }
Outer automorphisms :: reflexible
Dual of E28.1629
Graph:: bipartite
	v = 71 e = 140 f = 15
	degree seq :: [ 2^70, 140 ]

E28.1636 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 3, 4})
Quotient :: edge^2
Aut^+ = C3 x SL(2,3) (small group id <72, 25>)
Aut   = C3 x GL(2,3) (small group id <144, 122>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, Y3^-1 * Y1^-1 * Y2 * Y3^-1 * Y1^-1, Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1, Y1 * Y2 * Y1 * Y3^-1 * Y2, Y2^-1 * Y1 * Y2 * Y3 * Y2^-1 * Y3 * Y1, Y1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1, Y1 * Y3 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1, Y2 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y1 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 4, 76, 7, 79)(2, 74, 9, 81, 11, 83)(3, 75, 13, 85, 15, 87)(5, 77, 21, 93, 23, 95)(6, 78, 25, 97, 27, 99)(8, 80, 32, 104, 34, 106)(10, 82, 38, 110, 17, 89)(12, 84, 35, 107, 22, 94)(14, 86, 31, 103, 49, 121)(16, 88, 20, 92, 54, 126)(18, 90, 55, 127, 56, 128)(19, 91, 57, 129, 59, 131)(24, 96, 30, 102, 48, 120)(26, 98, 51, 123, 65, 137)(28, 100, 43, 115, 66, 138)(29, 101, 53, 125, 67, 139)(33, 105, 42, 114, 69, 141)(36, 108, 63, 135, 52, 124)(37, 109, 41, 113, 68, 140)(39, 111, 70, 142, 45, 117)(40, 112, 64, 136, 72, 144)(44, 116, 47, 119, 58, 130)(46, 118, 60, 132, 62, 134)(50, 122, 61, 133, 71, 143)(145, 146, 149)(147, 156, 158)(148, 160, 162)(150, 168, 170)(151, 172, 174)(152, 169, 177)(153, 159, 180)(154, 181, 183)(155, 184, 185)(157, 188, 189)(161, 179, 171)(163, 167, 202)(164, 182, 204)(165, 178, 205)(166, 203, 173)(175, 200, 212)(176, 187, 211)(186, 196, 201)(190, 193, 213)(191, 210, 216)(192, 206, 194)(195, 214, 197)(198, 208, 209)(199, 207, 215)(217, 219, 222)(218, 224, 226)(220, 233, 235)(221, 236, 238)(223, 245, 247)(225, 251, 246)(227, 242, 258)(228, 234, 259)(229, 244, 262)(230, 263, 264)(231, 266, 267)(232, 268, 269)(237, 243, 257)(239, 255, 278)(240, 261, 279)(241, 252, 280)(248, 256, 265)(249, 282, 284)(250, 272, 286)(253, 283, 287)(254, 277, 260)(270, 274, 285)(271, 275, 281)(273, 276, 288)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 16^3 ), ( 16^6 ) }
Outer automorphisms :: reflexible
Dual of E28.1639
Graph:: simple bipartite
	v = 72 e = 144 f = 18
	degree seq :: [ 3^48, 6^24 ]

E28.1637 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 3, 4})
Quotient :: edge^2
Aut^+ = C3 x SL(2,3) (small group id <72, 25>)
Aut   = C3 x GL(2,3) (small group id <144, 122>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, (Y1^-1, Y2^-1), R * Y1 * R * Y2, Y3^4, (R * Y3)^2, Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y3^-2 * Y2 * Y3^-2 * Y2^-1, Y2 * Y3 * Y2^-1 * Y1 * Y3^-1 * Y1^-1, Y3 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1, Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3, Y1 * Y3^-2 * Y1^-1 * Y3^-2, (Y3 * Y1^-1)^3, Y3 * Y1 * Y2 * Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1, Y1 * Y3^-1 * Y2 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 4, 76, 17, 89, 7, 79)(2, 74, 9, 81, 33, 105, 11, 83)(3, 75, 12, 84, 43, 115, 14, 86)(5, 77, 20, 92, 54, 126, 22, 94)(6, 78, 23, 95, 55, 127, 24, 96)(8, 80, 29, 101, 69, 141, 30, 102)(10, 82, 36, 108, 70, 142, 37, 109)(13, 85, 45, 117, 71, 143, 46, 118)(15, 87, 50, 122, 25, 97, 51, 123)(16, 88, 52, 124, 26, 98, 53, 125)(18, 90, 38, 110, 27, 99, 31, 103)(19, 91, 47, 119, 28, 100, 42, 114)(21, 93, 60, 132, 72, 144, 61, 133)(32, 104, 49, 121, 39, 111, 67, 139)(34, 106, 62, 134, 40, 112, 57, 129)(35, 107, 66, 138, 41, 113, 65, 137)(44, 116, 63, 135, 48, 120, 58, 130)(56, 128, 59, 131, 68, 140, 64, 136)(145, 146, 149)(147, 152, 157)(148, 159, 162)(150, 154, 165)(151, 169, 171)(153, 175, 178)(155, 182, 184)(156, 176, 188)(158, 183, 192)(160, 193, 189)(161, 177, 198)(163, 180, 200)(164, 201, 194)(166, 206, 195)(167, 209, 203)(168, 210, 208)(170, 211, 190)(172, 181, 212)(173, 202, 196)(174, 207, 197)(179, 204, 186)(185, 205, 191)(187, 213, 215)(199, 214, 216)(217, 219, 222)(218, 224, 226)(220, 232, 235)(221, 229, 237)(223, 242, 244)(225, 248, 251)(227, 255, 257)(228, 258, 250)(230, 263, 256)(231, 265, 252)(233, 259, 271)(234, 261, 272)(236, 274, 275)(238, 279, 280)(239, 273, 268)(240, 278, 269)(241, 283, 253)(243, 262, 284)(245, 281, 266)(246, 282, 267)(247, 260, 276)(249, 285, 286)(254, 264, 277)(270, 287, 288)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 12^3 ), ( 12^8 ) }
Outer automorphisms :: reflexible
Dual of E28.1638
Graph:: simple bipartite
	v = 66 e = 144 f = 24
	degree seq :: [ 3^48, 8^18 ]

E28.1638 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 3, 4})
Quotient :: loop^2
Aut^+ = C3 x SL(2,3) (small group id <72, 25>)
Aut   = C3 x GL(2,3) (small group id <144, 122>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, Y3^-1 * Y1^-1 * Y2 * Y3^-1 * Y1^-1, Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1, Y1 * Y2 * Y1 * Y3^-1 * Y2, Y2^-1 * Y1 * Y2 * Y3 * Y2^-1 * Y3 * Y1, Y1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1, Y1 * Y3 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1, Y2 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y1 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 145, 217, 4, 76, 148, 220, 7, 79, 151, 223)(2, 74, 146, 218, 9, 81, 153, 225, 11, 83, 155, 227)(3, 75, 147, 219, 13, 85, 157, 229, 15, 87, 159, 231)(5, 77, 149, 221, 21, 93, 165, 237, 23, 95, 167, 239)(6, 78, 150, 222, 25, 97, 169, 241, 27, 99, 171, 243)(8, 80, 152, 224, 32, 104, 176, 248, 34, 106, 178, 250)(10, 82, 154, 226, 38, 110, 182, 254, 17, 89, 161, 233)(12, 84, 156, 228, 35, 107, 179, 251, 22, 94, 166, 238)(14, 86, 158, 230, 31, 103, 175, 247, 49, 121, 193, 265)(16, 88, 160, 232, 20, 92, 164, 236, 54, 126, 198, 270)(18, 90, 162, 234, 55, 127, 199, 271, 56, 128, 200, 272)(19, 91, 163, 235, 57, 129, 201, 273, 59, 131, 203, 275)(24, 96, 168, 240, 30, 102, 174, 246, 48, 120, 192, 264)(26, 98, 170, 242, 51, 123, 195, 267, 65, 137, 209, 281)(28, 100, 172, 244, 43, 115, 187, 259, 66, 138, 210, 282)(29, 101, 173, 245, 53, 125, 197, 269, 67, 139, 211, 283)(33, 105, 177, 249, 42, 114, 186, 258, 69, 141, 213, 285)(36, 108, 180, 252, 63, 135, 207, 279, 52, 124, 196, 268)(37, 109, 181, 253, 41, 113, 185, 257, 68, 140, 212, 284)(39, 111, 183, 255, 70, 142, 214, 286, 45, 117, 189, 261)(40, 112, 184, 256, 64, 136, 208, 280, 72, 144, 216, 288)(44, 116, 188, 260, 47, 119, 191, 263, 58, 130, 202, 274)(46, 118, 190, 262, 60, 132, 204, 276, 62, 134, 206, 278)(50, 122, 194, 266, 61, 133, 205, 277, 71, 143, 215, 287)
	L = (1, 74)(2, 77)(3, 84)(4, 88)(5, 73)(6, 96)(7, 100)(8, 97)(9, 87)(10, 109)(11, 112)(12, 86)(13, 116)(14, 75)(15, 108)(16, 90)(17, 107)(18, 76)(19, 95)(20, 110)(21, 106)(22, 131)(23, 130)(24, 98)(25, 105)(26, 78)(27, 89)(28, 102)(29, 94)(30, 79)(31, 128)(32, 115)(33, 80)(34, 133)(35, 99)(36, 81)(37, 111)(38, 132)(39, 82)(40, 113)(41, 83)(42, 124)(43, 139)(44, 117)(45, 85)(46, 121)(47, 138)(48, 134)(49, 141)(50, 120)(51, 142)(52, 129)(53, 123)(54, 136)(55, 135)(56, 140)(57, 114)(58, 91)(59, 101)(60, 92)(61, 93)(62, 122)(63, 143)(64, 137)(65, 126)(66, 144)(67, 104)(68, 103)(69, 118)(70, 125)(71, 127)(72, 119)(145, 219)(146, 224)(147, 222)(148, 233)(149, 236)(150, 217)(151, 245)(152, 226)(153, 251)(154, 218)(155, 242)(156, 234)(157, 244)(158, 263)(159, 266)(160, 268)(161, 235)(162, 259)(163, 220)(164, 238)(165, 243)(166, 221)(167, 255)(168, 261)(169, 252)(170, 258)(171, 257)(172, 262)(173, 247)(174, 225)(175, 223)(176, 256)(177, 282)(178, 272)(179, 246)(180, 280)(181, 283)(182, 277)(183, 278)(184, 265)(185, 237)(186, 227)(187, 228)(188, 254)(189, 279)(190, 229)(191, 264)(192, 230)(193, 248)(194, 267)(195, 231)(196, 269)(197, 232)(198, 274)(199, 275)(200, 286)(201, 276)(202, 285)(203, 281)(204, 288)(205, 260)(206, 239)(207, 240)(208, 241)(209, 271)(210, 284)(211, 287)(212, 249)(213, 270)(214, 250)(215, 253)(216, 273)
	local type(s) :: { ( 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.1637
Transitivity :: VT+
Graph:: simple
	v = 24 e = 144 f = 66
	degree seq :: [ 12^24 ]

E28.1639 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 3, 4})
Quotient :: loop^2
Aut^+ = C3 x SL(2,3) (small group id <72, 25>)
Aut   = C3 x GL(2,3) (small group id <144, 122>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, (Y1^-1, Y2^-1), R * Y1 * R * Y2, Y3^4, (R * Y3)^2, Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y3^-2 * Y2 * Y3^-2 * Y2^-1, Y2 * Y3 * Y2^-1 * Y1 * Y3^-1 * Y1^-1, Y3 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1, Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3, Y1 * Y3^-2 * Y1^-1 * Y3^-2, (Y3 * Y1^-1)^3, Y3 * Y1 * Y2 * Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1, Y1 * Y3^-1 * Y2 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 145, 217, 4, 76, 148, 220, 17, 89, 161, 233, 7, 79, 151, 223)(2, 74, 146, 218, 9, 81, 153, 225, 33, 105, 177, 249, 11, 83, 155, 227)(3, 75, 147, 219, 12, 84, 156, 228, 43, 115, 187, 259, 14, 86, 158, 230)(5, 77, 149, 221, 20, 92, 164, 236, 54, 126, 198, 270, 22, 94, 166, 238)(6, 78, 150, 222, 23, 95, 167, 239, 55, 127, 199, 271, 24, 96, 168, 240)(8, 80, 152, 224, 29, 101, 173, 245, 69, 141, 213, 285, 30, 102, 174, 246)(10, 82, 154, 226, 36, 108, 180, 252, 70, 142, 214, 286, 37, 109, 181, 253)(13, 85, 157, 229, 45, 117, 189, 261, 71, 143, 215, 287, 46, 118, 190, 262)(15, 87, 159, 231, 50, 122, 194, 266, 25, 97, 169, 241, 51, 123, 195, 267)(16, 88, 160, 232, 52, 124, 196, 268, 26, 98, 170, 242, 53, 125, 197, 269)(18, 90, 162, 234, 38, 110, 182, 254, 27, 99, 171, 243, 31, 103, 175, 247)(19, 91, 163, 235, 47, 119, 191, 263, 28, 100, 172, 244, 42, 114, 186, 258)(21, 93, 165, 237, 60, 132, 204, 276, 72, 144, 216, 288, 61, 133, 205, 277)(32, 104, 176, 248, 49, 121, 193, 265, 39, 111, 183, 255, 67, 139, 211, 283)(34, 106, 178, 250, 62, 134, 206, 278, 40, 112, 184, 256, 57, 129, 201, 273)(35, 107, 179, 251, 66, 138, 210, 282, 41, 113, 185, 257, 65, 137, 209, 281)(44, 116, 188, 260, 63, 135, 207, 279, 48, 120, 192, 264, 58, 130, 202, 274)(56, 128, 200, 272, 59, 131, 203, 275, 68, 140, 212, 284, 64, 136, 208, 280)
	L = (1, 74)(2, 77)(3, 80)(4, 87)(5, 73)(6, 82)(7, 97)(8, 85)(9, 103)(10, 93)(11, 110)(12, 104)(13, 75)(14, 111)(15, 90)(16, 121)(17, 105)(18, 76)(19, 108)(20, 129)(21, 78)(22, 134)(23, 137)(24, 138)(25, 99)(26, 139)(27, 79)(28, 109)(29, 130)(30, 135)(31, 106)(32, 116)(33, 126)(34, 81)(35, 132)(36, 128)(37, 140)(38, 112)(39, 120)(40, 83)(41, 133)(42, 107)(43, 141)(44, 84)(45, 88)(46, 98)(47, 113)(48, 86)(49, 117)(50, 92)(51, 94)(52, 101)(53, 102)(54, 89)(55, 142)(56, 91)(57, 122)(58, 124)(59, 95)(60, 114)(61, 119)(62, 123)(63, 125)(64, 96)(65, 131)(66, 136)(67, 118)(68, 100)(69, 143)(70, 144)(71, 115)(72, 127)(145, 219)(146, 224)(147, 222)(148, 232)(149, 229)(150, 217)(151, 242)(152, 226)(153, 248)(154, 218)(155, 255)(156, 258)(157, 237)(158, 263)(159, 265)(160, 235)(161, 259)(162, 261)(163, 220)(164, 274)(165, 221)(166, 279)(167, 273)(168, 278)(169, 283)(170, 244)(171, 262)(172, 223)(173, 281)(174, 282)(175, 260)(176, 251)(177, 285)(178, 228)(179, 225)(180, 231)(181, 241)(182, 264)(183, 257)(184, 230)(185, 227)(186, 250)(187, 271)(188, 276)(189, 272)(190, 284)(191, 256)(192, 277)(193, 252)(194, 245)(195, 246)(196, 239)(197, 240)(198, 287)(199, 233)(200, 234)(201, 268)(202, 275)(203, 236)(204, 247)(205, 254)(206, 269)(207, 280)(208, 238)(209, 266)(210, 267)(211, 253)(212, 243)(213, 286)(214, 249)(215, 288)(216, 270)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.1636
Transitivity :: VT+
Graph::
	v = 18 e = 144 f = 72
	degree seq :: [ 16^18 ]

E28.1640 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 3, 4})
Quotient :: dipole
Aut^+ = C3 x SL(2,3) (small group id <72, 25>)
Aut   = (C3 x SL(2,3)) : C2 (small group id <144, 125>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3^3, Y1^3, (Y3, Y2), (R * Y2^-1)^2, (R * Y1)^2, (Y2^-1, Y1^-1), (R * Y3)^2, Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, (Y3^-1 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 8, 80, 13, 85)(4, 76, 15, 87, 16, 88)(6, 78, 10, 82, 19, 91)(7, 79, 22, 94, 23, 95)(9, 81, 26, 98, 27, 99)(11, 83, 30, 102, 31, 103)(12, 84, 32, 104, 33, 105)(14, 86, 36, 108, 37, 109)(17, 89, 39, 111, 41, 113)(18, 90, 42, 114, 40, 112)(20, 92, 45, 117, 46, 118)(21, 93, 47, 119, 48, 120)(24, 96, 50, 122, 51, 123)(25, 97, 52, 124, 53, 125)(28, 100, 55, 127, 56, 128)(29, 101, 57, 129, 58, 130)(34, 106, 61, 133, 60, 132)(35, 107, 62, 134, 63, 135)(38, 110, 54, 126, 49, 121)(43, 115, 67, 139, 66, 138)(44, 116, 68, 140, 69, 141)(59, 131, 71, 143, 64, 136)(65, 137, 72, 144, 70, 142)(145, 217, 147, 219, 150, 222)(146, 218, 152, 224, 154, 226)(148, 220, 156, 228, 161, 233)(149, 221, 157, 229, 163, 235)(151, 223, 158, 230, 165, 237)(153, 225, 168, 240, 172, 244)(155, 227, 169, 241, 173, 245)(159, 231, 176, 248, 183, 255)(160, 232, 177, 249, 185, 257)(162, 234, 178, 250, 187, 259)(164, 236, 179, 251, 188, 260)(166, 238, 180, 252, 191, 263)(167, 239, 181, 253, 192, 264)(170, 242, 194, 266, 199, 271)(171, 243, 195, 267, 200, 272)(174, 246, 196, 268, 201, 273)(175, 247, 197, 269, 202, 274)(182, 254, 203, 275, 209, 281)(184, 256, 204, 276, 210, 282)(186, 258, 205, 277, 211, 283)(189, 261, 206, 278, 212, 284)(190, 262, 207, 279, 213, 285)(193, 265, 208, 280, 214, 286)(198, 270, 215, 287, 216, 288)
	L = (1, 148)(2, 153)(3, 156)(4, 151)(5, 162)(6, 161)(7, 145)(8, 168)(9, 155)(10, 172)(11, 146)(12, 158)(13, 178)(14, 147)(15, 182)(16, 184)(17, 165)(18, 164)(19, 187)(20, 149)(21, 150)(22, 189)(23, 186)(24, 169)(25, 152)(26, 198)(27, 160)(28, 173)(29, 154)(30, 166)(31, 159)(32, 203)(33, 204)(34, 179)(35, 157)(36, 206)(37, 205)(38, 175)(39, 209)(40, 171)(41, 210)(42, 193)(43, 188)(44, 163)(45, 174)(46, 170)(47, 212)(48, 211)(49, 167)(50, 215)(51, 177)(52, 180)(53, 176)(54, 190)(55, 216)(56, 185)(57, 191)(58, 183)(59, 197)(60, 195)(61, 208)(62, 196)(63, 194)(64, 181)(65, 202)(66, 200)(67, 214)(68, 201)(69, 199)(70, 192)(71, 207)(72, 213)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.1642
Graph:: simple bipartite
	v = 48 e = 144 f = 42
	degree seq :: [ 6^48 ]

E28.1641 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 3, 4})
Quotient :: dipole
Aut^+ = C3 x SL(2,3) (small group id <72, 25>)
Aut   = (C3 x SL(2,3)) : C2 (small group id <144, 125>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, Y3^3, (Y3, Y2), (R * Y1)^2, (R * Y3)^2, (Y2 * R)^2, Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y2^-1 * Y1 * Y2 * Y3 * Y1^-1 * Y3^-1, Y1 * Y2 * Y1 * Y3 * Y1^-1 * Y2^-1, Y1 * Y3^-1 * Y2 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1, Y3 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y2 * Y1, (Y3^-1 * Y1^-1)^4, Y2 * Y1^-1 * Y3^-1 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 12, 84, 14, 86)(4, 76, 16, 88, 17, 89)(6, 78, 23, 95, 24, 96)(7, 79, 26, 98, 27, 99)(8, 80, 28, 100, 30, 102)(9, 81, 32, 104, 33, 105)(10, 82, 35, 107, 36, 108)(11, 83, 38, 110, 39, 111)(13, 85, 29, 101, 43, 115)(15, 87, 48, 120, 49, 121)(18, 90, 55, 127, 56, 128)(19, 91, 41, 113, 57, 129)(20, 92, 46, 118, 53, 125)(21, 93, 60, 132, 54, 126)(22, 94, 42, 114, 62, 134)(25, 97, 37, 109, 61, 133)(31, 103, 68, 140, 52, 124)(34, 106, 40, 112, 64, 136)(44, 116, 51, 123, 70, 142)(45, 117, 65, 137, 58, 130)(47, 119, 63, 135, 71, 143)(50, 122, 69, 141, 67, 139)(59, 131, 66, 138, 72, 144)(145, 217, 147, 219, 150, 222)(146, 218, 152, 224, 154, 226)(148, 220, 157, 229, 162, 234)(149, 221, 163, 235, 165, 237)(151, 223, 159, 231, 169, 241)(153, 225, 173, 245, 178, 250)(155, 227, 175, 247, 181, 253)(156, 228, 184, 256, 186, 258)(158, 230, 188, 260, 190, 262)(160, 232, 174, 246, 195, 267)(161, 233, 196, 268, 198, 270)(164, 236, 187, 259, 203, 275)(166, 238, 202, 274, 205, 277)(167, 239, 183, 255, 207, 279)(168, 240, 177, 249, 209, 281)(170, 242, 172, 244, 210, 282)(171, 243, 191, 263, 204, 276)(176, 248, 201, 273, 214, 286)(179, 251, 206, 278, 215, 287)(180, 252, 197, 269, 193, 265)(182, 254, 185, 257, 199, 271)(189, 261, 200, 272, 211, 283)(192, 264, 208, 280, 194, 266)(212, 284, 216, 288, 213, 285)
	L = (1, 148)(2, 153)(3, 157)(4, 151)(5, 164)(6, 162)(7, 145)(8, 173)(9, 155)(10, 178)(11, 146)(12, 185)(13, 159)(14, 189)(15, 147)(16, 194)(17, 197)(18, 169)(19, 187)(20, 166)(21, 203)(22, 149)(23, 195)(24, 198)(25, 150)(26, 186)(27, 190)(28, 156)(29, 175)(30, 192)(31, 152)(32, 213)(33, 161)(34, 181)(35, 214)(36, 168)(37, 154)(38, 170)(39, 160)(40, 199)(41, 172)(42, 182)(43, 202)(44, 200)(45, 191)(46, 211)(47, 158)(48, 207)(49, 209)(50, 183)(51, 208)(52, 193)(53, 177)(54, 180)(55, 210)(56, 204)(57, 212)(58, 163)(59, 205)(60, 188)(61, 165)(62, 176)(63, 174)(64, 167)(65, 196)(66, 184)(67, 171)(68, 215)(69, 206)(70, 216)(71, 201)(72, 179)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.1643
Graph:: simple bipartite
	v = 48 e = 144 f = 42
	degree seq :: [ 6^48 ]

E28.1642 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 3, 4})
Quotient :: dipole
Aut^+ = C3 x SL(2,3) (small group id <72, 25>)
Aut   = (C3 x SL(2,3)) : C2 (small group id <144, 125>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3^3, Y1^4, (Y3^-1, Y2), (R * Y1)^2, (Y2 * R)^2, (R * Y3)^2, Y2^-1 * Y1^-1 * Y2 * Y3^-1 * Y1 * Y3, (Y2^-1 * Y1^-1)^3, Y1^-2 * Y3 * Y1^-2 * Y3^-1, Y3 * Y1^-1 * Y3^-1 * Y2 * Y1 * Y2^-1, Y1^-1 * Y2 * Y1^-2 * Y2^-1 * Y1^-1, Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y2^-1 * Y1 * Y2, Y1 * Y3^-1 * Y2^-1 * Y1 * Y3 * Y1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 8, 80, 5, 77)(3, 75, 13, 85, 29, 101, 15, 87)(4, 76, 17, 89, 30, 102, 18, 90)(6, 78, 24, 96, 31, 103, 25, 97)(7, 79, 27, 99, 32, 104, 28, 100)(9, 81, 33, 105, 20, 92, 35, 107)(10, 82, 37, 109, 21, 93, 38, 110)(11, 83, 40, 112, 22, 94, 41, 113)(12, 84, 43, 115, 23, 95, 44, 116)(14, 86, 48, 120, 69, 141, 49, 121)(16, 88, 36, 108, 70, 142, 53, 125)(19, 91, 39, 111, 71, 143, 56, 128)(26, 98, 65, 137, 72, 144, 66, 138)(34, 106, 45, 117, 57, 129, 50, 122)(42, 114, 64, 136, 58, 130, 61, 133)(46, 118, 59, 131, 51, 123, 62, 134)(47, 119, 67, 139, 52, 124, 68, 140)(54, 126, 60, 132, 55, 127, 63, 135)(145, 217, 147, 219, 150, 222)(146, 218, 153, 225, 155, 227)(148, 220, 158, 230, 163, 235)(149, 221, 164, 236, 166, 238)(151, 223, 160, 232, 170, 242)(152, 224, 173, 245, 175, 247)(154, 226, 178, 250, 183, 255)(156, 228, 180, 252, 186, 258)(157, 229, 184, 256, 190, 262)(159, 231, 185, 257, 195, 267)(161, 233, 189, 261, 198, 270)(162, 234, 194, 266, 199, 271)(165, 237, 201, 273, 200, 272)(167, 239, 197, 269, 202, 274)(168, 240, 203, 275, 179, 251)(169, 241, 206, 278, 177, 249)(171, 243, 211, 283, 205, 277)(172, 244, 212, 284, 208, 280)(174, 246, 213, 285, 215, 287)(176, 248, 214, 286, 216, 288)(181, 253, 193, 265, 207, 279)(182, 254, 192, 264, 204, 276)(187, 259, 191, 263, 209, 281)(188, 260, 196, 268, 210, 282)
	L = (1, 148)(2, 154)(3, 158)(4, 151)(5, 165)(6, 163)(7, 145)(8, 174)(9, 178)(10, 156)(11, 183)(12, 146)(13, 189)(14, 160)(15, 194)(16, 147)(17, 187)(18, 188)(19, 170)(20, 201)(21, 167)(22, 200)(23, 149)(24, 204)(25, 207)(26, 150)(27, 203)(28, 206)(29, 213)(30, 176)(31, 215)(32, 152)(33, 193)(34, 180)(35, 192)(36, 153)(37, 172)(38, 171)(39, 186)(40, 198)(41, 199)(42, 155)(43, 190)(44, 195)(45, 191)(46, 161)(47, 157)(48, 211)(49, 212)(50, 196)(51, 162)(52, 159)(53, 164)(54, 209)(55, 210)(56, 202)(57, 197)(58, 166)(59, 182)(60, 205)(61, 168)(62, 181)(63, 208)(64, 169)(65, 184)(66, 185)(67, 179)(68, 177)(69, 214)(70, 173)(71, 216)(72, 175)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6^6 ), ( 6^8 ) }
Outer automorphisms :: reflexible
Dual of E28.1640
Graph:: simple bipartite
	v = 42 e = 144 f = 48
	degree seq :: [ 6^24, 8^18 ]

E28.1643 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 3, 4})
Quotient :: dipole
Aut^+ = C3 x SL(2,3) (small group id <72, 25>)
Aut   = (C3 x SL(2,3)) : C2 (small group id <144, 125>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3^3, (Y2^-1, Y3^-1), (R * Y1)^2, Y1^4, (R * Y3)^2, (R * Y2)^2, Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2, Y1^-2 * Y2 * Y1^-2 * Y2^-1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, (Y2 * Y1^-1)^3, Y1 * Y3 * Y1^2 * Y3^-1 * Y1, Y3 * Y1^-1 * Y3^-1 * Y2^-1 * Y1 * Y2, (Y1^-1 * Y3^-1)^3, Y1^-1 * Y3 * Y1^-1 * Y2 * Y3^-1 * Y1 * Y2^-1, Y1^-1 * Y3 * Y1^-1 * Y2^-1 * Y1 * Y3^-1 * Y2, Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y3 * Y1^-1 * Y3^-1, Y3^-1 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1^-1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 8, 80, 5, 77)(3, 75, 13, 85, 29, 101, 15, 87)(4, 76, 17, 89, 30, 102, 18, 90)(6, 78, 24, 96, 31, 103, 25, 97)(7, 79, 27, 99, 32, 104, 28, 100)(9, 81, 33, 105, 20, 92, 35, 107)(10, 82, 37, 109, 21, 93, 38, 110)(11, 83, 40, 112, 22, 94, 41, 113)(12, 84, 43, 115, 23, 95, 44, 116)(14, 86, 34, 106, 69, 141, 48, 120)(16, 88, 52, 124, 70, 142, 53, 125)(19, 91, 60, 132, 71, 143, 61, 133)(26, 98, 42, 114, 72, 144, 64, 136)(36, 108, 51, 123, 62, 134, 47, 119)(39, 111, 55, 127, 63, 135, 58, 130)(45, 117, 57, 129, 49, 121, 54, 126)(46, 118, 59, 131, 50, 122, 56, 128)(65, 137, 67, 139, 66, 138, 68, 140)(145, 217, 147, 219, 150, 222)(146, 218, 153, 225, 155, 227)(148, 220, 158, 230, 163, 235)(149, 221, 164, 236, 166, 238)(151, 223, 160, 232, 170, 242)(152, 224, 173, 245, 175, 247)(154, 226, 178, 250, 183, 255)(156, 228, 180, 252, 186, 258)(157, 229, 185, 257, 190, 262)(159, 231, 184, 256, 194, 266)(161, 233, 198, 270, 199, 271)(162, 234, 201, 273, 202, 274)(165, 237, 192, 264, 207, 279)(167, 239, 206, 278, 208, 280)(168, 240, 200, 272, 177, 249)(169, 241, 203, 275, 179, 251)(171, 243, 191, 263, 211, 283)(172, 244, 195, 267, 212, 284)(174, 246, 213, 285, 215, 287)(176, 248, 214, 286, 216, 288)(181, 253, 193, 265, 205, 277)(182, 254, 189, 261, 204, 276)(187, 259, 196, 268, 209, 281)(188, 260, 197, 269, 210, 282)
	L = (1, 148)(2, 154)(3, 158)(4, 151)(5, 165)(6, 163)(7, 145)(8, 174)(9, 178)(10, 156)(11, 183)(12, 146)(13, 189)(14, 160)(15, 193)(16, 147)(17, 187)(18, 188)(19, 170)(20, 192)(21, 167)(22, 207)(23, 149)(24, 199)(25, 202)(26, 150)(27, 190)(28, 194)(29, 213)(30, 176)(31, 215)(32, 152)(33, 198)(34, 180)(35, 201)(36, 153)(37, 172)(38, 171)(39, 186)(40, 205)(41, 204)(42, 155)(43, 200)(44, 203)(45, 191)(46, 182)(47, 157)(48, 206)(49, 195)(50, 181)(51, 159)(52, 177)(53, 179)(54, 196)(55, 209)(56, 161)(57, 197)(58, 210)(59, 162)(60, 211)(61, 212)(62, 164)(63, 208)(64, 166)(65, 168)(66, 169)(67, 185)(68, 184)(69, 214)(70, 173)(71, 216)(72, 175)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6^6 ), ( 6^8 ) }
Outer automorphisms :: reflexible
Dual of E28.1641
Graph:: simple bipartite
	v = 42 e = 144 f = 48
	degree seq :: [ 6^24, 8^18 ]

E28.1644 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 4, 4})
Quotient :: edge^2
Aut^+ = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
Aut   = C2 x (((C2 x C2) : C9) : C2) (small group id <144, 109>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1, Y1^4, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, Y2^4, Y1^-1 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-1, (Y3^-1 * Y1 * Y3^-1)^2, Y1 * Y3 * Y2 * Y1 * Y3 * Y1, (Y1^-1 * Y3^-1 * Y2^-1)^2, Y3 * Y2^-1 * Y3^-1 * Y1^-1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 3, 75, 10, 82, 5, 77)(2, 74, 7, 79, 19, 91, 8, 80)(4, 76, 12, 84, 25, 97, 13, 85)(6, 78, 16, 88, 28, 100, 17, 89)(9, 81, 23, 95, 15, 87, 24, 96)(11, 83, 26, 98, 14, 86, 27, 99)(18, 90, 29, 101, 22, 94, 30, 102)(20, 92, 31, 103, 21, 93, 32, 104)(33, 105, 41, 113, 36, 108, 42, 114)(34, 106, 43, 115, 35, 107, 44, 116)(37, 109, 45, 117, 40, 112, 46, 118)(38, 110, 47, 119, 39, 111, 48, 120)(49, 121, 57, 129, 52, 124, 58, 130)(50, 122, 59, 131, 51, 123, 60, 132)(53, 125, 61, 133, 56, 128, 62, 134)(54, 126, 63, 135, 55, 127, 64, 136)(65, 137, 69, 141, 68, 140, 72, 144)(66, 138, 71, 143, 67, 139, 70, 142)(145, 146, 150, 148)(147, 153, 161, 155)(149, 158, 160, 159)(151, 162, 157, 164)(152, 165, 156, 166)(154, 169, 172, 163)(167, 177, 171, 178)(168, 179, 170, 180)(173, 181, 176, 182)(174, 183, 175, 184)(185, 193, 188, 194)(186, 195, 187, 196)(189, 197, 192, 198)(190, 199, 191, 200)(201, 209, 204, 210)(202, 211, 203, 212)(205, 213, 208, 214)(206, 215, 207, 216)(217, 218, 222, 220)(219, 225, 233, 227)(221, 230, 232, 231)(223, 234, 229, 236)(224, 237, 228, 238)(226, 241, 244, 235)(239, 249, 243, 250)(240, 251, 242, 252)(245, 253, 248, 254)(246, 255, 247, 256)(257, 265, 260, 266)(258, 267, 259, 268)(261, 269, 264, 270)(262, 271, 263, 272)(273, 281, 276, 282)(274, 283, 275, 284)(277, 285, 280, 286)(278, 287, 279, 288)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E28.1647
Graph:: simple bipartite
	v = 54 e = 144 f = 36
	degree seq :: [ 4^36, 8^18 ]

E28.1645 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 4, 4})
Quotient :: edge^2
Aut^+ = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
Aut   = C2 x (((C2 x C2) : C9) : C2) (small group id <144, 109>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1 * Y2^-1, Y1 * Y2^-1, Y2 * Y1^3, (R * Y3)^2, R * Y1 * R * Y2, Y2^4, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-1 * Y3 * Y1^-1, (Y1^-1 * Y3 * Y2^-1)^4, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 3, 75)(2, 74, 6, 78)(4, 76, 9, 81)(5, 77, 10, 82)(7, 79, 14, 86)(8, 80, 15, 87)(11, 83, 21, 93)(12, 84, 22, 94)(13, 85, 23, 95)(16, 88, 29, 101)(17, 89, 30, 102)(18, 90, 32, 104)(19, 91, 33, 105)(20, 92, 34, 106)(24, 96, 40, 112)(25, 97, 41, 113)(26, 98, 42, 114)(27, 99, 43, 115)(28, 100, 39, 111)(31, 103, 44, 116)(35, 107, 45, 117)(36, 108, 46, 118)(37, 109, 47, 119)(38, 110, 48, 120)(49, 121, 57, 129)(50, 122, 58, 130)(51, 123, 59, 131)(52, 124, 60, 132)(53, 125, 61, 133)(54, 126, 62, 134)(55, 127, 63, 135)(56, 128, 64, 136)(65, 137, 72, 144)(66, 138, 69, 141)(67, 139, 70, 142)(68, 140, 71, 143)(145, 146, 149, 148)(147, 151, 157, 152)(150, 155, 164, 156)(153, 160, 172, 161)(154, 162, 175, 163)(158, 168, 177, 169)(159, 170, 176, 171)(165, 179, 174, 180)(166, 181, 173, 182)(167, 183, 188, 178)(184, 193, 187, 194)(185, 195, 186, 196)(189, 197, 192, 198)(190, 199, 191, 200)(201, 209, 204, 210)(202, 211, 203, 212)(205, 213, 208, 214)(206, 215, 207, 216)(217, 218, 221, 220)(219, 223, 229, 224)(222, 227, 236, 228)(225, 232, 244, 233)(226, 234, 247, 235)(230, 240, 249, 241)(231, 242, 248, 243)(237, 251, 246, 252)(238, 253, 245, 254)(239, 255, 260, 250)(256, 265, 259, 266)(257, 267, 258, 268)(261, 269, 264, 270)(262, 271, 263, 272)(273, 281, 276, 282)(274, 283, 275, 284)(277, 285, 280, 286)(278, 287, 279, 288)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E28.1646
Graph:: simple bipartite
	v = 72 e = 144 f = 18
	degree seq :: [ 4^72 ]

E28.1646 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 4, 4})
Quotient :: loop^2
Aut^+ = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
Aut   = C2 x (((C2 x C2) : C9) : C2) (small group id <144, 109>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1, Y1^4, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, Y2^4, Y1^-1 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-1, (Y3^-1 * Y1 * Y3^-1)^2, Y1 * Y3 * Y2 * Y1 * Y3 * Y1, (Y1^-1 * Y3^-1 * Y2^-1)^2, Y3 * Y2^-1 * Y3^-1 * Y1^-1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 145, 217, 3, 75, 147, 219, 10, 82, 154, 226, 5, 77, 149, 221)(2, 74, 146, 218, 7, 79, 151, 223, 19, 91, 163, 235, 8, 80, 152, 224)(4, 76, 148, 220, 12, 84, 156, 228, 25, 97, 169, 241, 13, 85, 157, 229)(6, 78, 150, 222, 16, 88, 160, 232, 28, 100, 172, 244, 17, 89, 161, 233)(9, 81, 153, 225, 23, 95, 167, 239, 15, 87, 159, 231, 24, 96, 168, 240)(11, 83, 155, 227, 26, 98, 170, 242, 14, 86, 158, 230, 27, 99, 171, 243)(18, 90, 162, 234, 29, 101, 173, 245, 22, 94, 166, 238, 30, 102, 174, 246)(20, 92, 164, 236, 31, 103, 175, 247, 21, 93, 165, 237, 32, 104, 176, 248)(33, 105, 177, 249, 41, 113, 185, 257, 36, 108, 180, 252, 42, 114, 186, 258)(34, 106, 178, 250, 43, 115, 187, 259, 35, 107, 179, 251, 44, 116, 188, 260)(37, 109, 181, 253, 45, 117, 189, 261, 40, 112, 184, 256, 46, 118, 190, 262)(38, 110, 182, 254, 47, 119, 191, 263, 39, 111, 183, 255, 48, 120, 192, 264)(49, 121, 193, 265, 57, 129, 201, 273, 52, 124, 196, 268, 58, 130, 202, 274)(50, 122, 194, 266, 59, 131, 203, 275, 51, 123, 195, 267, 60, 132, 204, 276)(53, 125, 197, 269, 61, 133, 205, 277, 56, 128, 200, 272, 62, 134, 206, 278)(54, 126, 198, 270, 63, 135, 207, 279, 55, 127, 199, 271, 64, 136, 208, 280)(65, 137, 209, 281, 69, 141, 213, 285, 68, 140, 212, 284, 72, 144, 216, 288)(66, 138, 210, 282, 71, 143, 215, 287, 67, 139, 211, 283, 70, 142, 214, 286)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 86)(6, 76)(7, 90)(8, 93)(9, 89)(10, 97)(11, 75)(12, 94)(13, 92)(14, 88)(15, 77)(16, 87)(17, 83)(18, 85)(19, 82)(20, 79)(21, 84)(22, 80)(23, 105)(24, 107)(25, 100)(26, 108)(27, 106)(28, 91)(29, 109)(30, 111)(31, 112)(32, 110)(33, 99)(34, 95)(35, 98)(36, 96)(37, 104)(38, 101)(39, 103)(40, 102)(41, 121)(42, 123)(43, 124)(44, 122)(45, 125)(46, 127)(47, 128)(48, 126)(49, 116)(50, 113)(51, 115)(52, 114)(53, 120)(54, 117)(55, 119)(56, 118)(57, 137)(58, 139)(59, 140)(60, 138)(61, 141)(62, 143)(63, 144)(64, 142)(65, 132)(66, 129)(67, 131)(68, 130)(69, 136)(70, 133)(71, 135)(72, 134)(145, 218)(146, 222)(147, 225)(148, 217)(149, 230)(150, 220)(151, 234)(152, 237)(153, 233)(154, 241)(155, 219)(156, 238)(157, 236)(158, 232)(159, 221)(160, 231)(161, 227)(162, 229)(163, 226)(164, 223)(165, 228)(166, 224)(167, 249)(168, 251)(169, 244)(170, 252)(171, 250)(172, 235)(173, 253)(174, 255)(175, 256)(176, 254)(177, 243)(178, 239)(179, 242)(180, 240)(181, 248)(182, 245)(183, 247)(184, 246)(185, 265)(186, 267)(187, 268)(188, 266)(189, 269)(190, 271)(191, 272)(192, 270)(193, 260)(194, 257)(195, 259)(196, 258)(197, 264)(198, 261)(199, 263)(200, 262)(201, 281)(202, 283)(203, 284)(204, 282)(205, 285)(206, 287)(207, 288)(208, 286)(209, 276)(210, 273)(211, 275)(212, 274)(213, 280)(214, 277)(215, 279)(216, 278)
	local type(s) :: { ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E28.1645
Transitivity :: VT+
Graph::
	v = 18 e = 144 f = 72
	degree seq :: [ 16^18 ]

E28.1647 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 4, 4})
Quotient :: loop^2
Aut^+ = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
Aut   = C2 x (((C2 x C2) : C9) : C2) (small group id <144, 109>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1 * Y2^-1, Y1 * Y2^-1, Y2 * Y1^3, (R * Y3)^2, R * Y1 * R * Y2, Y2^4, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-1 * Y3 * Y1^-1, (Y1^-1 * Y3 * Y2^-1)^4, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 145, 217, 3, 75, 147, 219)(2, 74, 146, 218, 6, 78, 150, 222)(4, 76, 148, 220, 9, 81, 153, 225)(5, 77, 149, 221, 10, 82, 154, 226)(7, 79, 151, 223, 14, 86, 158, 230)(8, 80, 152, 224, 15, 87, 159, 231)(11, 83, 155, 227, 21, 93, 165, 237)(12, 84, 156, 228, 22, 94, 166, 238)(13, 85, 157, 229, 23, 95, 167, 239)(16, 88, 160, 232, 29, 101, 173, 245)(17, 89, 161, 233, 30, 102, 174, 246)(18, 90, 162, 234, 32, 104, 176, 248)(19, 91, 163, 235, 33, 105, 177, 249)(20, 92, 164, 236, 34, 106, 178, 250)(24, 96, 168, 240, 40, 112, 184, 256)(25, 97, 169, 241, 41, 113, 185, 257)(26, 98, 170, 242, 42, 114, 186, 258)(27, 99, 171, 243, 43, 115, 187, 259)(28, 100, 172, 244, 39, 111, 183, 255)(31, 103, 175, 247, 44, 116, 188, 260)(35, 107, 179, 251, 45, 117, 189, 261)(36, 108, 180, 252, 46, 118, 190, 262)(37, 109, 181, 253, 47, 119, 191, 263)(38, 110, 182, 254, 48, 120, 192, 264)(49, 121, 193, 265, 57, 129, 201, 273)(50, 122, 194, 266, 58, 130, 202, 274)(51, 123, 195, 267, 59, 131, 203, 275)(52, 124, 196, 268, 60, 132, 204, 276)(53, 125, 197, 269, 61, 133, 205, 277)(54, 126, 198, 270, 62, 134, 206, 278)(55, 127, 199, 271, 63, 135, 207, 279)(56, 128, 200, 272, 64, 136, 208, 280)(65, 137, 209, 281, 72, 144, 216, 288)(66, 138, 210, 282, 69, 141, 213, 285)(67, 139, 211, 283, 70, 142, 214, 286)(68, 140, 212, 284, 71, 143, 215, 287)
	L = (1, 74)(2, 77)(3, 79)(4, 73)(5, 76)(6, 83)(7, 85)(8, 75)(9, 88)(10, 90)(11, 92)(12, 78)(13, 80)(14, 96)(15, 98)(16, 100)(17, 81)(18, 103)(19, 82)(20, 84)(21, 107)(22, 109)(23, 111)(24, 105)(25, 86)(26, 104)(27, 87)(28, 89)(29, 110)(30, 108)(31, 91)(32, 99)(33, 97)(34, 95)(35, 102)(36, 93)(37, 101)(38, 94)(39, 116)(40, 121)(41, 123)(42, 124)(43, 122)(44, 106)(45, 125)(46, 127)(47, 128)(48, 126)(49, 115)(50, 112)(51, 114)(52, 113)(53, 120)(54, 117)(55, 119)(56, 118)(57, 137)(58, 139)(59, 140)(60, 138)(61, 141)(62, 143)(63, 144)(64, 142)(65, 132)(66, 129)(67, 131)(68, 130)(69, 136)(70, 133)(71, 135)(72, 134)(145, 218)(146, 221)(147, 223)(148, 217)(149, 220)(150, 227)(151, 229)(152, 219)(153, 232)(154, 234)(155, 236)(156, 222)(157, 224)(158, 240)(159, 242)(160, 244)(161, 225)(162, 247)(163, 226)(164, 228)(165, 251)(166, 253)(167, 255)(168, 249)(169, 230)(170, 248)(171, 231)(172, 233)(173, 254)(174, 252)(175, 235)(176, 243)(177, 241)(178, 239)(179, 246)(180, 237)(181, 245)(182, 238)(183, 260)(184, 265)(185, 267)(186, 268)(187, 266)(188, 250)(189, 269)(190, 271)(191, 272)(192, 270)(193, 259)(194, 256)(195, 258)(196, 257)(197, 264)(198, 261)(199, 263)(200, 262)(201, 281)(202, 283)(203, 284)(204, 282)(205, 285)(206, 287)(207, 288)(208, 286)(209, 276)(210, 273)(211, 275)(212, 274)(213, 280)(214, 277)(215, 279)(216, 278)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.1644
Transitivity :: VT+
Graph::
	v = 36 e = 144 f = 54
	degree seq :: [ 8^36 ]

E28.1648 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
Aut   = C2 x (((C2 x C2) : C9) : C2) (small group id <144, 109>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^2, Y2^2 * Y3, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3 * Y1)^4, (Y1 * Y2^-1 * Y1 * Y3)^2, Y1 * Y2^-1 * Y1 * Y3 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y3 * Y1 * Y2^-1 * Y1 * Y2^-1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 10, 82)(5, 77, 11, 83)(6, 78, 12, 84)(7, 79, 13, 85)(8, 80, 14, 86)(15, 87, 33, 105)(16, 88, 29, 101)(17, 89, 34, 106)(18, 90, 31, 103)(19, 91, 28, 100)(20, 92, 25, 97)(21, 93, 35, 107)(22, 94, 27, 99)(23, 95, 36, 108)(24, 96, 37, 109)(26, 98, 38, 110)(30, 102, 39, 111)(32, 104, 40, 112)(41, 113, 49, 121)(42, 114, 50, 122)(43, 115, 51, 123)(44, 116, 52, 124)(45, 117, 53, 125)(46, 118, 54, 126)(47, 119, 55, 127)(48, 120, 56, 128)(57, 129, 65, 137)(58, 130, 66, 138)(59, 131, 67, 139)(60, 132, 68, 140)(61, 133, 69, 141)(62, 134, 70, 142)(63, 135, 71, 143)(64, 136, 72, 144)(145, 217, 147, 219, 148, 220, 149, 221)(146, 218, 150, 222, 151, 223, 152, 224)(153, 225, 159, 231, 160, 232, 161, 233)(154, 226, 162, 234, 163, 235, 164, 236)(155, 227, 165, 237, 166, 238, 167, 239)(156, 228, 168, 240, 169, 241, 170, 242)(157, 229, 171, 243, 172, 244, 173, 245)(158, 230, 174, 246, 175, 247, 176, 248)(177, 249, 185, 257, 180, 252, 186, 258)(178, 250, 187, 259, 179, 251, 188, 260)(181, 253, 189, 261, 184, 256, 190, 262)(182, 254, 191, 263, 183, 255, 192, 264)(193, 265, 201, 273, 196, 268, 202, 274)(194, 266, 203, 275, 195, 267, 204, 276)(197, 269, 205, 277, 200, 272, 206, 278)(198, 270, 207, 279, 199, 271, 208, 280)(209, 281, 214, 286, 212, 284, 215, 287)(210, 282, 216, 288, 211, 283, 213, 285)
	L = (1, 148)(2, 151)(3, 149)(4, 145)(5, 147)(6, 152)(7, 146)(8, 150)(9, 160)(10, 163)(11, 166)(12, 169)(13, 172)(14, 175)(15, 161)(16, 153)(17, 159)(18, 164)(19, 154)(20, 162)(21, 167)(22, 155)(23, 165)(24, 170)(25, 156)(26, 168)(27, 173)(28, 157)(29, 171)(30, 176)(31, 158)(32, 174)(33, 180)(34, 179)(35, 178)(36, 177)(37, 184)(38, 183)(39, 182)(40, 181)(41, 186)(42, 185)(43, 188)(44, 187)(45, 190)(46, 189)(47, 192)(48, 191)(49, 196)(50, 195)(51, 194)(52, 193)(53, 200)(54, 199)(55, 198)(56, 197)(57, 202)(58, 201)(59, 204)(60, 203)(61, 206)(62, 205)(63, 208)(64, 207)(65, 212)(66, 211)(67, 210)(68, 209)(69, 216)(70, 215)(71, 214)(72, 213)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E28.1649
Graph:: bipartite
	v = 54 e = 144 f = 36
	degree seq :: [ 4^36, 8^18 ]

E28.1649 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
Aut   = C2 x (((C2 x C2) : C9) : C2) (small group id <144, 109>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y3 * Y2, (R * Y2)^2, (Y1 * Y3)^2, (R * Y1)^2, Y1^4, (R * Y3)^2, (Y1^-1 * Y2^-1 * Y1^-1)^2, Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-2 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y3, Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^2 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y3, Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 7, 79, 5, 77)(3, 75, 11, 83, 20, 92, 12, 84)(4, 76, 13, 85, 19, 91, 9, 81)(6, 78, 16, 88, 18, 90, 17, 89)(8, 80, 21, 93, 15, 87, 22, 94)(10, 82, 23, 95, 14, 86, 24, 96)(25, 97, 33, 105, 28, 100, 34, 106)(26, 98, 35, 107, 27, 99, 36, 108)(29, 101, 37, 109, 32, 104, 38, 110)(30, 102, 39, 111, 31, 103, 40, 112)(41, 113, 49, 121, 44, 116, 50, 122)(42, 114, 51, 123, 43, 115, 52, 124)(45, 117, 53, 125, 48, 120, 54, 126)(46, 118, 55, 127, 47, 119, 56, 128)(57, 129, 65, 137, 60, 132, 66, 138)(58, 130, 67, 139, 59, 131, 68, 140)(61, 133, 69, 141, 64, 136, 70, 142)(62, 134, 71, 143, 63, 135, 72, 144)(145, 217, 147, 219, 148, 220, 150, 222)(146, 218, 152, 224, 153, 225, 154, 226)(149, 221, 158, 230, 157, 229, 159, 231)(151, 223, 162, 234, 163, 235, 164, 236)(155, 227, 169, 241, 161, 233, 170, 242)(156, 228, 171, 243, 160, 232, 172, 244)(165, 237, 173, 245, 168, 240, 174, 246)(166, 238, 175, 247, 167, 239, 176, 248)(177, 249, 185, 257, 180, 252, 186, 258)(178, 250, 187, 259, 179, 251, 188, 260)(181, 253, 189, 261, 184, 256, 190, 262)(182, 254, 191, 263, 183, 255, 192, 264)(193, 265, 201, 273, 196, 268, 202, 274)(194, 266, 203, 275, 195, 267, 204, 276)(197, 269, 205, 277, 200, 272, 206, 278)(198, 270, 207, 279, 199, 271, 208, 280)(209, 281, 213, 285, 212, 284, 216, 288)(210, 282, 215, 287, 211, 283, 214, 286)
	L = (1, 148)(2, 153)(3, 150)(4, 145)(5, 157)(6, 147)(7, 163)(8, 154)(9, 146)(10, 152)(11, 161)(12, 160)(13, 149)(14, 159)(15, 158)(16, 156)(17, 155)(18, 164)(19, 151)(20, 162)(21, 168)(22, 167)(23, 166)(24, 165)(25, 170)(26, 169)(27, 172)(28, 171)(29, 174)(30, 173)(31, 176)(32, 175)(33, 180)(34, 179)(35, 178)(36, 177)(37, 184)(38, 183)(39, 182)(40, 181)(41, 186)(42, 185)(43, 188)(44, 187)(45, 190)(46, 189)(47, 192)(48, 191)(49, 196)(50, 195)(51, 194)(52, 193)(53, 200)(54, 199)(55, 198)(56, 197)(57, 202)(58, 201)(59, 204)(60, 203)(61, 206)(62, 205)(63, 208)(64, 207)(65, 212)(66, 211)(67, 210)(68, 209)(69, 216)(70, 215)(71, 214)(72, 213)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.1648
Graph:: bipartite
	v = 36 e = 144 f = 54
	degree seq :: [ 8^36 ]

E28.1650 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 4, 4})
Quotient :: edge^2
Aut^+ = (C3 x C3) : Q8 (small group id <72, 41>)
Aut   = ((C3 x C3) : C8) : C2 (small group id <144, 182>)
|r| :: 2
Presentation :: [ R^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, Y2^4, Y1^4, Y2 * Y3 * Y2^-2 * Y1, Y1^-2 * Y3 * Y1 * Y2, Y3^-1 * Y2^-1 * Y3 * Y1^-1 * Y3^-1, Y3^-1 * Y1^-1 * Y2 * Y3 * Y2 * Y1^-1, Y1 * Y3 * Y2 * Y3 * Y1 * Y2^-1, Y2 * Y1 * Y2^-1 * Y3^2 * Y1^-1, Y3^-1 * Y1 * Y2 * Y3^-1 * Y1^-1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 4, 76, 20, 92, 7, 79)(2, 74, 10, 82, 40, 112, 12, 84)(3, 75, 15, 87, 21, 93, 17, 89)(5, 77, 24, 96, 32, 104, 26, 98)(6, 78, 28, 100, 66, 138, 30, 102)(8, 80, 29, 101, 68, 140, 36, 108)(9, 81, 14, 86, 41, 113, 38, 110)(11, 83, 44, 116, 27, 99, 45, 117)(13, 85, 49, 121, 47, 119, 50, 122)(16, 88, 53, 125, 56, 128, 39, 111)(18, 90, 58, 130, 43, 115, 34, 106)(19, 91, 59, 131, 54, 126, 60, 132)(22, 94, 31, 103, 71, 143, 64, 136)(23, 95, 55, 127, 65, 137, 63, 135)(25, 97, 67, 139, 57, 129, 48, 120)(33, 105, 72, 144, 61, 133, 52, 124)(35, 107, 37, 109, 69, 141, 51, 123)(42, 114, 46, 118, 62, 134, 70, 142)(145, 146, 152, 149)(147, 157, 170, 160)(148, 162, 201, 165)(150, 171, 213, 173)(151, 175, 153, 177)(154, 169, 210, 185)(155, 187, 209, 168)(156, 190, 179, 191)(158, 178, 183, 195)(159, 189, 163, 182)(161, 199, 174, 186)(164, 172, 193, 198)(166, 207, 181, 192)(167, 205, 180, 203)(176, 211, 196, 206)(184, 188, 216, 197)(194, 215, 212, 202)(200, 204, 214, 208)(217, 219, 230, 222)(218, 225, 253, 227)(220, 235, 245, 238)(221, 239, 231, 241)(223, 248, 263, 250)(224, 251, 271, 234)(226, 255, 240, 258)(228, 236, 277, 264)(229, 246, 252, 256)(232, 268, 257, 270)(233, 272, 274, 243)(237, 278, 275, 266)(242, 284, 249, 261)(244, 273, 267, 286)(247, 265, 285, 269)(254, 280, 283, 259)(260, 282, 279, 276)(262, 288, 281, 287)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E28.1664
Graph:: simple bipartite
	v = 54 e = 144 f = 36
	degree seq :: [ 4^36, 8^18 ]

E28.1651 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 4, 4})
Quotient :: edge^2
Aut^+ = (C3 x C3) : Q8 (small group id <72, 41>)
Aut   = ((C3 x C3) : C8) : C2 (small group id <144, 182>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2 * Y3^-1, Y2^4, Y1^4, Y2^4, R * Y1 * R * Y2, (R * Y3)^2, Y3^4, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, Y1 * Y3^-2 * Y1^-1 * Y2^-2, Y1 * Y2^-1 * Y3 * Y1^-1 * Y2 * Y3, Y1^2 * Y3^-1 * Y2^2 * Y3, Y2 * Y3 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1, (Y3 * Y1^-1 * Y2^-1)^2, (Y2 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 73, 4, 76, 18, 90, 7, 79)(2, 74, 9, 81, 33, 105, 11, 83)(3, 75, 14, 86, 22, 94, 5, 77)(6, 78, 24, 96, 29, 101, 25, 97)(8, 80, 20, 92, 52, 124, 30, 102)(10, 82, 36, 108, 21, 93, 37, 109)(12, 84, 42, 114, 23, 95, 44, 116)(13, 85, 45, 117, 49, 121, 15, 87)(16, 88, 50, 122, 35, 107, 51, 123)(17, 89, 53, 125, 55, 127, 19, 91)(26, 98, 64, 136, 65, 137, 27, 99)(28, 100, 66, 138, 60, 132, 67, 139)(31, 103, 68, 140, 63, 135, 69, 141)(32, 104, 46, 118, 70, 142, 34, 106)(38, 110, 61, 133, 72, 144, 39, 111)(40, 112, 62, 134, 71, 143, 59, 131)(41, 113, 47, 119, 57, 129, 54, 126)(43, 115, 58, 130, 48, 120, 56, 128)(145, 146, 152, 149)(147, 156, 185, 159)(148, 160, 189, 163)(150, 167, 171, 151)(153, 175, 197, 178)(154, 179, 183, 155)(157, 177, 184, 169)(158, 182, 168, 176)(161, 196, 170, 181)(162, 172, 180, 198)(164, 200, 190, 201)(165, 202, 203, 166)(173, 207, 211, 174)(186, 204, 214, 195)(187, 216, 199, 188)(191, 213, 194, 215)(192, 212, 209, 193)(205, 208, 206, 210)(217, 219, 229, 222)(218, 220, 233, 226)(221, 236, 270, 237)(223, 242, 246, 244)(224, 225, 248, 245)(227, 254, 238, 256)(228, 230, 262, 259)(231, 263, 275, 264)(232, 234, 257, 258)(235, 265, 243, 260)(239, 240, 277, 276)(241, 278, 281, 279)(247, 249, 261, 266)(250, 271, 255, 267)(251, 252, 282, 287)(253, 280, 288, 274)(268, 269, 284, 272)(273, 286, 283, 285)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E28.1665
Graph:: simple bipartite
	v = 54 e = 144 f = 36
	degree seq :: [ 4^36, 8^18 ]

E28.1652 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 4, 4})
Quotient :: edge^2
Aut^+ = (C3 x C3) : Q8 (small group id <72, 41>)
Aut   = ((C3 x C3) : C8) : C2 (small group id <144, 182>)
|r| :: 2
Presentation :: [ R^2, R * Y1 * R * Y2, Y1^4, (R * Y3)^2, Y3^4, Y2^4, Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1, Y1 * Y2^-2 * Y3^-1 * Y2, Y1^-2 * Y2 * Y1 * Y3^-1, Y3 * Y1^-1 * Y2 * Y3^-1 * Y2 * Y1^-1, Y1 * Y2^-1 * Y1^-1 * Y2 * Y3^-2, Y3 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y1^-1, Y1 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y2, Y1^-1 * Y3 * Y2^-1 * Y1^-2 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 73, 4, 76, 20, 92, 7, 79)(2, 74, 10, 82, 34, 106, 12, 84)(3, 75, 15, 87, 38, 110, 17, 89)(5, 77, 24, 96, 65, 137, 26, 98)(6, 78, 28, 100, 18, 90, 30, 102)(8, 80, 13, 85, 48, 120, 36, 108)(9, 81, 37, 109, 54, 126, 39, 111)(11, 83, 44, 116, 40, 112, 46, 118)(14, 86, 51, 123, 61, 133, 25, 97)(16, 88, 47, 119, 23, 95, 56, 128)(19, 91, 33, 105, 72, 144, 59, 131)(21, 93, 55, 127, 64, 136, 32, 104)(22, 94, 43, 115, 60, 132, 62, 134)(27, 99, 68, 140, 70, 142, 41, 113)(29, 101, 53, 125, 66, 138, 57, 129)(31, 103, 71, 143, 45, 117, 69, 141)(35, 107, 63, 135, 49, 121, 50, 122)(42, 114, 67, 139, 58, 130, 52, 124)(145, 146, 152, 149)(147, 157, 193, 160)(148, 162, 198, 165)(150, 171, 156, 173)(151, 175, 169, 177)(153, 168, 195, 182)(154, 184, 208, 167)(155, 187, 180, 189)(158, 194, 185, 176)(159, 164, 204, 197)(161, 188, 174, 186)(163, 183, 207, 190)(166, 191, 172, 205)(170, 210, 179, 211)(178, 202, 213, 181)(192, 216, 201, 199)(196, 206, 214, 203)(200, 209, 212, 215)(217, 219, 230, 222)(218, 225, 244, 227)(220, 235, 229, 238)(221, 239, 279, 241)(223, 248, 282, 250)(224, 237, 260, 251)(226, 257, 240, 258)(228, 263, 247, 264)(231, 268, 266, 270)(232, 271, 286, 246)(233, 245, 281, 252)(234, 273, 259, 274)(236, 242, 255, 261)(243, 276, 267, 285)(249, 284, 265, 269)(253, 275, 277, 280)(254, 272, 278, 262)(256, 287, 283, 288)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E28.1662
Graph:: simple bipartite
	v = 54 e = 144 f = 36
	degree seq :: [ 4^36, 8^18 ]

E28.1653 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 4, 4})
Quotient :: edge^2
Aut^+ = (C3 x C3) : Q8 (small group id <72, 41>)
Aut   = ((C3 x C3) : C8) : C2 (small group id <144, 182>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1 * Y3, Y3^4, Y1^4, R * Y2 * R * Y1, (R * Y3)^2, Y2^4, Y2 * Y3^2 * Y2^-1 * Y1^2, Y2^2 * Y1^-1 * Y3^-2 * Y1, Y1^-2 * Y3^-1 * Y2^-2 * Y3, Y2 * Y3^2 * Y2^-1 * Y1^-2, Y1 * Y2^-1 * Y3 * Y1^-1 * Y2 * Y3, (Y2 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 73, 4, 76, 17, 89, 7, 79)(2, 74, 6, 78, 24, 96, 11, 83)(3, 75, 13, 85, 29, 101, 15, 87)(5, 77, 21, 93, 42, 114, 22, 94)(8, 80, 10, 82, 36, 108, 30, 102)(9, 81, 32, 104, 20, 92, 34, 106)(12, 84, 41, 113, 50, 122, 23, 95)(14, 86, 46, 118, 25, 97, 47, 119)(16, 88, 19, 91, 55, 127, 51, 123)(18, 90, 53, 125, 56, 128, 54, 126)(26, 98, 28, 100, 67, 139, 64, 136)(27, 99, 65, 137, 45, 117, 66, 138)(31, 103, 52, 124, 61, 133, 35, 107)(33, 105, 60, 132, 37, 109, 63, 135)(38, 110, 40, 112, 49, 121, 72, 144)(39, 111, 44, 116, 68, 140, 59, 131)(43, 115, 62, 134, 70, 142, 57, 129)(48, 120, 69, 141, 58, 130, 71, 143)(145, 146, 152, 149)(147, 151, 170, 158)(148, 160, 185, 162)(150, 167, 196, 169)(153, 155, 182, 177)(154, 179, 206, 181)(156, 159, 184, 186)(157, 183, 168, 187)(161, 175, 178, 171)(163, 176, 172, 180)(164, 166, 203, 200)(165, 201, 199, 202)(173, 174, 210, 192)(188, 209, 193, 211)(189, 191, 198, 214)(190, 195, 212, 207)(194, 208, 215, 204)(197, 213, 205, 216)(217, 219, 228, 222)(218, 225, 247, 226)(220, 221, 236, 235)(223, 243, 246, 244)(224, 245, 259, 237)(227, 255, 238, 256)(229, 230, 261, 260)(231, 264, 280, 265)(232, 262, 242, 266)(233, 234, 263, 268)(239, 276, 254, 277)(240, 241, 279, 278)(248, 249, 284, 283)(250, 272, 288, 281)(251, 285, 282, 286)(252, 253, 287, 271)(257, 258, 274, 269)(267, 273, 270, 275)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E28.1663
Graph:: simple bipartite
	v = 54 e = 144 f = 36
	degree seq :: [ 4^36, 8^18 ]

E28.1654 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 4, 4})
Quotient :: edge^2
Aut^+ = (C3 x C3) : Q8 (small group id <72, 41>)
Aut   = ((C3 x C3) : C8) : C2 (small group id <144, 182>)
|r| :: 2
Presentation :: [ R^2, Y3^2, R * Y2 * R * Y1, (R * Y3)^2, Y1^4, Y2^4, Y1 * Y3 * Y1^-1 * Y2^2, Y1^-2 * Y2^-1 * Y3 * Y2, Y1 * Y2 * Y3 * Y1 * Y2, (Y1^-1 * Y3)^4, (Y2^-1, Y1^-1)^2, Y1 * Y2^-1 * Y1^-2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 73, 4, 76)(2, 74, 9, 81)(3, 75, 13, 85)(5, 77, 20, 92)(6, 78, 23, 95)(7, 79, 26, 98)(8, 80, 24, 96)(10, 82, 21, 93)(11, 83, 22, 94)(12, 84, 35, 107)(14, 86, 30, 102)(15, 87, 42, 114)(16, 88, 45, 117)(17, 89, 39, 111)(18, 90, 32, 104)(19, 91, 43, 115)(25, 97, 33, 105)(27, 99, 56, 128)(28, 100, 55, 127)(29, 101, 59, 131)(31, 103, 52, 124)(34, 106, 40, 112)(36, 108, 51, 123)(37, 109, 64, 136)(38, 110, 62, 134)(41, 113, 57, 129)(44, 116, 58, 130)(46, 118, 49, 121)(47, 119, 54, 126)(48, 120, 68, 140)(50, 122, 72, 144)(53, 125, 63, 135)(60, 132, 71, 143)(61, 133, 69, 141)(65, 137, 66, 138)(67, 139, 70, 142)(145, 146, 151, 149)(147, 155, 160, 158)(148, 159, 185, 161)(150, 166, 194, 168)(152, 162, 174, 172)(153, 173, 180, 156)(154, 176, 205, 177)(157, 165, 193, 181)(163, 190, 191, 189)(164, 182, 195, 192)(167, 196, 214, 187)(169, 175, 199, 198)(170, 197, 201, 171)(178, 206, 200, 202)(179, 184, 210, 207)(183, 209, 204, 203)(186, 212, 215, 188)(208, 211, 213, 216)(217, 219, 228, 222)(218, 224, 243, 226)(220, 232, 260, 234)(221, 235, 233, 237)(223, 241, 264, 239)(225, 246, 276, 247)(227, 236, 263, 250)(229, 245, 249, 254)(230, 255, 253, 256)(231, 240, 269, 259)(238, 267, 285, 258)(242, 271, 282, 262)(244, 251, 266, 274)(248, 257, 283, 275)(252, 280, 279, 268)(261, 284, 286, 281)(265, 273, 288, 278)(270, 272, 277, 287)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E28.1660
Graph:: simple bipartite
	v = 72 e = 144 f = 18
	degree seq :: [ 4^72 ]

E28.1655 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 4, 4})
Quotient :: edge^2
Aut^+ = (C3 x C3) : Q8 (small group id <72, 41>)
Aut   = ((C3 x C3) : C8) : C2 (small group id <144, 182>)
|r| :: 2
Presentation :: [ R^2, Y3^2, R * Y2 * R * Y1, (R * Y3)^2, Y2^4, Y1^4, Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y1^-1, Y1 * Y2 * Y1^-1 * Y3 * Y2^-1, Y1 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y2, Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y3, Y1 * Y2^-1 * Y3 * Y2 * Y1^-1 * Y2^2, Y1^-1 * Y2^-2 * Y3 * Y2^2 * Y1^-1, Y1 * Y2 * Y3 * Y2^-1 * Y3 * Y1 * Y3, (Y2 * Y1^-1)^4, (Y3 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 73, 4, 76)(2, 74, 9, 81)(3, 75, 13, 85)(5, 77, 20, 92)(6, 78, 23, 95)(7, 79, 26, 98)(8, 80, 29, 101)(10, 82, 34, 106)(11, 83, 21, 93)(12, 84, 38, 110)(14, 86, 19, 91)(15, 87, 46, 118)(16, 88, 47, 119)(17, 89, 50, 122)(18, 90, 51, 123)(22, 94, 60, 132)(24, 96, 63, 135)(25, 97, 55, 127)(27, 99, 53, 125)(28, 100, 54, 126)(30, 102, 65, 137)(31, 103, 66, 138)(32, 104, 45, 117)(33, 105, 58, 130)(35, 107, 59, 131)(36, 108, 61, 133)(37, 109, 44, 116)(39, 111, 43, 115)(40, 112, 56, 128)(41, 113, 52, 124)(42, 114, 57, 129)(48, 120, 49, 121)(62, 134, 68, 140)(64, 136, 67, 139)(69, 141, 71, 143)(70, 142, 72, 144)(145, 146, 151, 149)(147, 155, 179, 158)(148, 159, 182, 161)(150, 166, 203, 168)(152, 167, 185, 157)(153, 174, 198, 175)(154, 177, 196, 162)(156, 181, 170, 183)(160, 165, 202, 192)(163, 197, 193, 199)(164, 200, 172, 201)(169, 178, 208, 173)(171, 204, 211, 176)(180, 214, 190, 186)(184, 188, 216, 215)(187, 210, 213, 212)(189, 195, 207, 191)(194, 206, 205, 209)(217, 219, 228, 222)(218, 224, 244, 226)(220, 232, 242, 234)(221, 235, 270, 237)(223, 241, 254, 243)(225, 240, 236, 248)(227, 233, 265, 252)(229, 256, 275, 258)(230, 259, 264, 260)(231, 261, 277, 238)(239, 247, 251, 278)(245, 262, 268, 266)(246, 263, 284, 249)(250, 253, 257, 285)(255, 279, 287, 276)(267, 286, 274, 272)(269, 273, 280, 288)(271, 281, 283, 282)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E28.1661
Graph:: simple bipartite
	v = 72 e = 144 f = 18
	degree seq :: [ 4^72 ]

E28.1656 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 4, 4})
Quotient :: edge^2
Aut^+ = (C3 x C3) : Q8 (small group id <72, 41>)
Aut   = ((C3 x C3) : C8) : C2 (small group id <144, 182>)
|r| :: 2
Presentation :: [ R^2, Y3^2, R * Y2 * R * Y1, (R * Y3)^2, Y1^4, Y2^4, Y1^-2 * Y2 * Y3 * Y2^-1, Y1 * Y2^-2 * Y1^-1 * Y3, Y1 * Y2 * Y1 * Y3 * Y2, (Y2^-1, Y1^-1)^2, (Y2^-1 * Y1)^4, (Y1^-1 * Y3)^4 ]
Map:: polytopal non-degenerate
	R = (1, 73, 4, 76)(2, 74, 9, 81)(3, 75, 13, 85)(5, 77, 20, 92)(6, 78, 23, 95)(7, 79, 25, 97)(8, 80, 19, 91)(10, 82, 32, 104)(11, 83, 21, 93)(12, 84, 37, 109)(14, 86, 24, 96)(15, 87, 42, 114)(16, 88, 44, 116)(17, 89, 39, 111)(18, 90, 31, 103)(22, 94, 45, 117)(26, 98, 46, 118)(27, 99, 33, 105)(28, 100, 58, 130)(29, 101, 56, 128)(30, 102, 55, 127)(34, 106, 62, 134)(35, 107, 64, 136)(36, 108, 40, 112)(38, 110, 48, 120)(41, 113, 57, 129)(43, 115, 63, 135)(47, 119, 72, 144)(49, 121, 68, 140)(50, 122, 54, 126)(51, 123, 53, 125)(52, 124, 65, 137)(59, 131, 61, 133)(60, 132, 67, 139)(66, 138, 70, 142)(69, 141, 71, 143)(145, 146, 151, 149)(147, 155, 178, 158)(148, 159, 185, 161)(150, 166, 162, 168)(152, 167, 196, 171)(153, 172, 184, 173)(154, 175, 174, 177)(156, 180, 193, 164)(157, 176, 204, 182)(160, 165, 194, 189)(163, 190, 214, 188)(169, 191, 201, 179)(170, 199, 198, 192)(181, 208, 205, 195)(183, 187, 213, 202)(186, 212, 215, 203)(197, 207, 216, 200)(206, 210, 211, 209)(217, 219, 228, 222)(218, 224, 231, 226)(220, 232, 259, 234)(221, 235, 263, 237)(223, 229, 244, 242)(225, 240, 269, 246)(227, 233, 248, 251)(230, 255, 282, 256)(236, 264, 287, 261)(238, 267, 268, 258)(239, 245, 262, 265)(241, 249, 277, 270)(243, 272, 278, 273)(247, 275, 276, 274)(250, 253, 266, 279)(252, 254, 280, 281)(257, 260, 284, 283)(271, 285, 286, 288)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E28.1658
Graph:: simple bipartite
	v = 72 e = 144 f = 18
	degree seq :: [ 4^72 ]

E28.1657 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 4, 4})
Quotient :: edge^2
Aut^+ = (C3 x C3) : Q8 (small group id <72, 41>)
Aut   = ((C3 x C3) : C8) : C2 (small group id <144, 182>)
|r| :: 2
Presentation :: [ R^2, Y3^2, R * Y2 * R * Y1, (R * Y3)^2, Y1^4, Y2^4, Y1 * Y3 * Y2 * Y1^-1 * Y2^-1, Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-2 * Y3 * Y1^2 * Y3, Y2^-1 * Y1^-1 * Y2 * Y3 * Y2^-1 * Y1 * Y2^-1, Y2 * Y1^-2 * Y3 * Y1^-2 * Y2, Y1^-1 * Y2 * Y1^-1 * Y3 * Y1 * Y2^-1 * Y1^-1, Y1 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y3, Y1 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2, (Y2 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 73, 4, 76)(2, 74, 9, 81)(3, 75, 13, 85)(5, 77, 20, 92)(6, 78, 23, 95)(7, 79, 26, 98)(8, 80, 24, 96)(10, 82, 22, 94)(11, 83, 36, 108)(12, 84, 38, 110)(14, 86, 44, 116)(15, 87, 45, 117)(16, 88, 48, 120)(17, 89, 49, 121)(18, 90, 52, 124)(19, 91, 54, 126)(21, 93, 57, 129)(25, 97, 34, 106)(27, 99, 33, 105)(28, 100, 53, 125)(29, 101, 55, 127)(30, 102, 61, 133)(31, 103, 62, 134)(32, 104, 50, 122)(35, 107, 58, 130)(37, 109, 60, 132)(39, 111, 59, 131)(40, 112, 71, 143)(41, 113, 47, 119)(42, 114, 67, 139)(43, 115, 63, 135)(46, 118, 51, 123)(56, 128, 68, 140)(64, 136, 69, 141)(65, 137, 66, 138)(70, 142, 72, 144)(145, 146, 151, 149)(147, 155, 179, 158)(148, 159, 182, 161)(150, 166, 202, 168)(152, 162, 195, 173)(153, 174, 197, 175)(154, 177, 190, 178)(156, 181, 170, 183)(157, 165, 167, 185)(160, 191, 199, 163)(164, 186, 172, 200)(169, 176, 210, 188)(171, 201, 209, 198)(180, 192, 194, 196)(184, 189, 212, 187)(193, 208, 207, 205)(203, 206, 214, 213)(204, 215, 216, 211)(217, 219, 228, 222)(218, 224, 244, 226)(220, 232, 242, 234)(221, 235, 269, 237)(223, 241, 254, 243)(225, 227, 236, 248)(229, 256, 274, 258)(230, 259, 266, 233)(231, 240, 279, 262)(238, 275, 267, 276)(239, 277, 251, 278)(245, 280, 264, 247)(246, 250, 285, 281)(249, 283, 282, 284)(252, 253, 260, 286)(255, 270, 288, 257)(261, 263, 265, 273)(268, 272, 271, 287)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E28.1659
Graph:: simple bipartite
	v = 72 e = 144 f = 18
	degree seq :: [ 4^72 ]

E28.1658 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 4, 4})
Quotient :: loop^2
Aut^+ = (C3 x C3) : Q8 (small group id <72, 41>)
Aut   = ((C3 x C3) : C8) : C2 (small group id <144, 182>)
|r| :: 2
Presentation :: [ R^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, Y2^4, Y1^4, Y2 * Y3 * Y2^-2 * Y1, Y1^-2 * Y3 * Y1 * Y2, Y3^-1 * Y2^-1 * Y3 * Y1^-1 * Y3^-1, Y3^-1 * Y1^-1 * Y2 * Y3 * Y2 * Y1^-1, Y1 * Y3 * Y2 * Y3 * Y1 * Y2^-1, Y2 * Y1 * Y2^-1 * Y3^2 * Y1^-1, Y3^-1 * Y1 * Y2 * Y3^-1 * Y1^-1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 145, 217, 4, 76, 148, 220, 20, 92, 164, 236, 7, 79, 151, 223)(2, 74, 146, 218, 10, 82, 154, 226, 40, 112, 184, 256, 12, 84, 156, 228)(3, 75, 147, 219, 15, 87, 159, 231, 21, 93, 165, 237, 17, 89, 161, 233)(5, 77, 149, 221, 24, 96, 168, 240, 32, 104, 176, 248, 26, 98, 170, 242)(6, 78, 150, 222, 28, 100, 172, 244, 66, 138, 210, 282, 30, 102, 174, 246)(8, 80, 152, 224, 29, 101, 173, 245, 68, 140, 212, 284, 36, 108, 180, 252)(9, 81, 153, 225, 14, 86, 158, 230, 41, 113, 185, 257, 38, 110, 182, 254)(11, 83, 155, 227, 44, 116, 188, 260, 27, 99, 171, 243, 45, 117, 189, 261)(13, 85, 157, 229, 49, 121, 193, 265, 47, 119, 191, 263, 50, 122, 194, 266)(16, 88, 160, 232, 53, 125, 197, 269, 56, 128, 200, 272, 39, 111, 183, 255)(18, 90, 162, 234, 58, 130, 202, 274, 43, 115, 187, 259, 34, 106, 178, 250)(19, 91, 163, 235, 59, 131, 203, 275, 54, 126, 198, 270, 60, 132, 204, 276)(22, 94, 166, 238, 31, 103, 175, 247, 71, 143, 215, 287, 64, 136, 208, 280)(23, 95, 167, 239, 55, 127, 199, 271, 65, 137, 209, 281, 63, 135, 207, 279)(25, 97, 169, 241, 67, 139, 211, 283, 57, 129, 201, 273, 48, 120, 192, 264)(33, 105, 177, 249, 72, 144, 216, 288, 61, 133, 205, 277, 52, 124, 196, 268)(35, 107, 179, 251, 37, 109, 181, 253, 69, 141, 213, 285, 51, 123, 195, 267)(42, 114, 186, 258, 46, 118, 190, 262, 62, 134, 206, 278, 70, 142, 214, 286)
	L = (1, 74)(2, 80)(3, 85)(4, 90)(5, 73)(6, 99)(7, 103)(8, 77)(9, 105)(10, 97)(11, 115)(12, 118)(13, 98)(14, 106)(15, 117)(16, 75)(17, 127)(18, 129)(19, 110)(20, 100)(21, 76)(22, 135)(23, 133)(24, 83)(25, 138)(26, 88)(27, 141)(28, 121)(29, 78)(30, 114)(31, 81)(32, 139)(33, 79)(34, 111)(35, 119)(36, 131)(37, 120)(38, 87)(39, 123)(40, 116)(41, 82)(42, 89)(43, 137)(44, 144)(45, 91)(46, 107)(47, 84)(48, 94)(49, 126)(50, 143)(51, 86)(52, 134)(53, 112)(54, 92)(55, 102)(56, 132)(57, 93)(58, 122)(59, 95)(60, 142)(61, 108)(62, 104)(63, 109)(64, 128)(65, 96)(66, 113)(67, 124)(68, 130)(69, 101)(70, 136)(71, 140)(72, 125)(145, 219)(146, 225)(147, 230)(148, 235)(149, 239)(150, 217)(151, 248)(152, 251)(153, 253)(154, 255)(155, 218)(156, 236)(157, 246)(158, 222)(159, 241)(160, 268)(161, 272)(162, 224)(163, 245)(164, 277)(165, 278)(166, 220)(167, 231)(168, 258)(169, 221)(170, 284)(171, 233)(172, 273)(173, 238)(174, 252)(175, 265)(176, 263)(177, 261)(178, 223)(179, 271)(180, 256)(181, 227)(182, 280)(183, 240)(184, 229)(185, 270)(186, 226)(187, 254)(188, 282)(189, 242)(190, 288)(191, 250)(192, 228)(193, 285)(194, 237)(195, 286)(196, 257)(197, 247)(198, 232)(199, 234)(200, 274)(201, 267)(202, 243)(203, 266)(204, 260)(205, 264)(206, 275)(207, 276)(208, 283)(209, 287)(210, 279)(211, 259)(212, 249)(213, 269)(214, 244)(215, 262)(216, 281)
	local type(s) :: { ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E28.1656
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 144 f = 72
	degree seq :: [ 16^18 ]

E28.1659 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 4, 4})
Quotient :: loop^2
Aut^+ = (C3 x C3) : Q8 (small group id <72, 41>)
Aut   = ((C3 x C3) : C8) : C2 (small group id <144, 182>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2 * Y3^-1, Y2^4, Y1^4, Y2^4, R * Y1 * R * Y2, (R * Y3)^2, Y3^4, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, Y1 * Y3^-2 * Y1^-1 * Y2^-2, Y1 * Y2^-1 * Y3 * Y1^-1 * Y2 * Y3, Y1^2 * Y3^-1 * Y2^2 * Y3, Y2 * Y3 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1, (Y3 * Y1^-1 * Y2^-1)^2, (Y2 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 73, 145, 217, 4, 76, 148, 220, 18, 90, 162, 234, 7, 79, 151, 223)(2, 74, 146, 218, 9, 81, 153, 225, 33, 105, 177, 249, 11, 83, 155, 227)(3, 75, 147, 219, 14, 86, 158, 230, 22, 94, 166, 238, 5, 77, 149, 221)(6, 78, 150, 222, 24, 96, 168, 240, 29, 101, 173, 245, 25, 97, 169, 241)(8, 80, 152, 224, 20, 92, 164, 236, 52, 124, 196, 268, 30, 102, 174, 246)(10, 82, 154, 226, 36, 108, 180, 252, 21, 93, 165, 237, 37, 109, 181, 253)(12, 84, 156, 228, 42, 114, 186, 258, 23, 95, 167, 239, 44, 116, 188, 260)(13, 85, 157, 229, 45, 117, 189, 261, 49, 121, 193, 265, 15, 87, 159, 231)(16, 88, 160, 232, 50, 122, 194, 266, 35, 107, 179, 251, 51, 123, 195, 267)(17, 89, 161, 233, 53, 125, 197, 269, 55, 127, 199, 271, 19, 91, 163, 235)(26, 98, 170, 242, 64, 136, 208, 280, 65, 137, 209, 281, 27, 99, 171, 243)(28, 100, 172, 244, 66, 138, 210, 282, 60, 132, 204, 276, 67, 139, 211, 283)(31, 103, 175, 247, 68, 140, 212, 284, 63, 135, 207, 279, 69, 141, 213, 285)(32, 104, 176, 248, 46, 118, 190, 262, 70, 142, 214, 286, 34, 106, 178, 250)(38, 110, 182, 254, 61, 133, 205, 277, 72, 144, 216, 288, 39, 111, 183, 255)(40, 112, 184, 256, 62, 134, 206, 278, 71, 143, 215, 287, 59, 131, 203, 275)(41, 113, 185, 257, 47, 119, 191, 263, 57, 129, 201, 273, 54, 126, 198, 270)(43, 115, 187, 259, 58, 130, 202, 274, 48, 120, 192, 264, 56, 128, 200, 272)
	L = (1, 74)(2, 80)(3, 84)(4, 88)(5, 73)(6, 95)(7, 78)(8, 77)(9, 103)(10, 107)(11, 82)(12, 113)(13, 105)(14, 110)(15, 75)(16, 117)(17, 124)(18, 100)(19, 76)(20, 128)(21, 130)(22, 93)(23, 99)(24, 104)(25, 85)(26, 109)(27, 79)(28, 108)(29, 135)(30, 101)(31, 125)(32, 86)(33, 112)(34, 81)(35, 111)(36, 126)(37, 89)(38, 96)(39, 83)(40, 97)(41, 87)(42, 132)(43, 144)(44, 115)(45, 91)(46, 129)(47, 141)(48, 140)(49, 120)(50, 143)(51, 114)(52, 98)(53, 106)(54, 90)(55, 116)(56, 118)(57, 92)(58, 131)(59, 94)(60, 142)(61, 136)(62, 138)(63, 139)(64, 134)(65, 121)(66, 133)(67, 102)(68, 137)(69, 122)(70, 123)(71, 119)(72, 127)(145, 219)(146, 220)(147, 229)(148, 233)(149, 236)(150, 217)(151, 242)(152, 225)(153, 248)(154, 218)(155, 254)(156, 230)(157, 222)(158, 262)(159, 263)(160, 234)(161, 226)(162, 257)(163, 265)(164, 270)(165, 221)(166, 256)(167, 240)(168, 277)(169, 278)(170, 246)(171, 260)(172, 223)(173, 224)(174, 244)(175, 249)(176, 245)(177, 261)(178, 271)(179, 252)(180, 282)(181, 280)(182, 238)(183, 267)(184, 227)(185, 258)(186, 232)(187, 228)(188, 235)(189, 266)(190, 259)(191, 275)(192, 231)(193, 243)(194, 247)(195, 250)(196, 269)(197, 284)(198, 237)(199, 255)(200, 268)(201, 286)(202, 253)(203, 264)(204, 239)(205, 276)(206, 281)(207, 241)(208, 288)(209, 279)(210, 287)(211, 285)(212, 272)(213, 273)(214, 283)(215, 251)(216, 274)
	local type(s) :: { ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E28.1657
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 144 f = 72
	degree seq :: [ 16^18 ]

E28.1660 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 4, 4})
Quotient :: loop^2
Aut^+ = (C3 x C3) : Q8 (small group id <72, 41>)
Aut   = ((C3 x C3) : C8) : C2 (small group id <144, 182>)
|r| :: 2
Presentation :: [ R^2, R * Y1 * R * Y2, Y1^4, (R * Y3)^2, Y3^4, Y2^4, Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1, Y1 * Y2^-2 * Y3^-1 * Y2, Y1^-2 * Y2 * Y1 * Y3^-1, Y3 * Y1^-1 * Y2 * Y3^-1 * Y2 * Y1^-1, Y1 * Y2^-1 * Y1^-1 * Y2 * Y3^-2, Y3 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y1^-1, Y1 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y2, Y1^-1 * Y3 * Y2^-1 * Y1^-2 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 73, 145, 217, 4, 76, 148, 220, 20, 92, 164, 236, 7, 79, 151, 223)(2, 74, 146, 218, 10, 82, 154, 226, 34, 106, 178, 250, 12, 84, 156, 228)(3, 75, 147, 219, 15, 87, 159, 231, 38, 110, 182, 254, 17, 89, 161, 233)(5, 77, 149, 221, 24, 96, 168, 240, 65, 137, 209, 281, 26, 98, 170, 242)(6, 78, 150, 222, 28, 100, 172, 244, 18, 90, 162, 234, 30, 102, 174, 246)(8, 80, 152, 224, 13, 85, 157, 229, 48, 120, 192, 264, 36, 108, 180, 252)(9, 81, 153, 225, 37, 109, 181, 253, 54, 126, 198, 270, 39, 111, 183, 255)(11, 83, 155, 227, 44, 116, 188, 260, 40, 112, 184, 256, 46, 118, 190, 262)(14, 86, 158, 230, 51, 123, 195, 267, 61, 133, 205, 277, 25, 97, 169, 241)(16, 88, 160, 232, 47, 119, 191, 263, 23, 95, 167, 239, 56, 128, 200, 272)(19, 91, 163, 235, 33, 105, 177, 249, 72, 144, 216, 288, 59, 131, 203, 275)(21, 93, 165, 237, 55, 127, 199, 271, 64, 136, 208, 280, 32, 104, 176, 248)(22, 94, 166, 238, 43, 115, 187, 259, 60, 132, 204, 276, 62, 134, 206, 278)(27, 99, 171, 243, 68, 140, 212, 284, 70, 142, 214, 286, 41, 113, 185, 257)(29, 101, 173, 245, 53, 125, 197, 269, 66, 138, 210, 282, 57, 129, 201, 273)(31, 103, 175, 247, 71, 143, 215, 287, 45, 117, 189, 261, 69, 141, 213, 285)(35, 107, 179, 251, 63, 135, 207, 279, 49, 121, 193, 265, 50, 122, 194, 266)(42, 114, 186, 258, 67, 139, 211, 283, 58, 130, 202, 274, 52, 124, 196, 268)
	L = (1, 74)(2, 80)(3, 85)(4, 90)(5, 73)(6, 99)(7, 103)(8, 77)(9, 96)(10, 112)(11, 115)(12, 101)(13, 121)(14, 122)(15, 92)(16, 75)(17, 116)(18, 126)(19, 111)(20, 132)(21, 76)(22, 119)(23, 82)(24, 123)(25, 105)(26, 138)(27, 84)(28, 133)(29, 78)(30, 114)(31, 97)(32, 86)(33, 79)(34, 130)(35, 139)(36, 117)(37, 106)(38, 81)(39, 135)(40, 136)(41, 104)(42, 89)(43, 108)(44, 102)(45, 83)(46, 91)(47, 100)(48, 144)(49, 88)(50, 113)(51, 110)(52, 134)(53, 87)(54, 93)(55, 120)(56, 137)(57, 127)(58, 141)(59, 124)(60, 125)(61, 94)(62, 142)(63, 118)(64, 95)(65, 140)(66, 107)(67, 98)(68, 143)(69, 109)(70, 131)(71, 128)(72, 129)(145, 219)(146, 225)(147, 230)(148, 235)(149, 239)(150, 217)(151, 248)(152, 237)(153, 244)(154, 257)(155, 218)(156, 263)(157, 238)(158, 222)(159, 268)(160, 271)(161, 245)(162, 273)(163, 229)(164, 242)(165, 260)(166, 220)(167, 279)(168, 258)(169, 221)(170, 255)(171, 276)(172, 227)(173, 281)(174, 232)(175, 264)(176, 282)(177, 284)(178, 223)(179, 224)(180, 233)(181, 275)(182, 272)(183, 261)(184, 287)(185, 240)(186, 226)(187, 274)(188, 251)(189, 236)(190, 254)(191, 247)(192, 228)(193, 269)(194, 270)(195, 285)(196, 266)(197, 249)(198, 231)(199, 286)(200, 278)(201, 259)(202, 234)(203, 277)(204, 267)(205, 280)(206, 262)(207, 241)(208, 253)(209, 252)(210, 250)(211, 288)(212, 265)(213, 243)(214, 246)(215, 283)(216, 256)
	local type(s) :: { ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E28.1654
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 144 f = 72
	degree seq :: [ 16^18 ]

E28.1661 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 4, 4})
Quotient :: loop^2
Aut^+ = (C3 x C3) : Q8 (small group id <72, 41>)
Aut   = ((C3 x C3) : C8) : C2 (small group id <144, 182>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1 * Y3, Y3^4, Y1^4, R * Y2 * R * Y1, (R * Y3)^2, Y2^4, Y2 * Y3^2 * Y2^-1 * Y1^2, Y2^2 * Y1^-1 * Y3^-2 * Y1, Y1^-2 * Y3^-1 * Y2^-2 * Y3, Y2 * Y3^2 * Y2^-1 * Y1^-2, Y1 * Y2^-1 * Y3 * Y1^-1 * Y2 * Y3, (Y2 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 73, 145, 217, 4, 76, 148, 220, 17, 89, 161, 233, 7, 79, 151, 223)(2, 74, 146, 218, 6, 78, 150, 222, 24, 96, 168, 240, 11, 83, 155, 227)(3, 75, 147, 219, 13, 85, 157, 229, 29, 101, 173, 245, 15, 87, 159, 231)(5, 77, 149, 221, 21, 93, 165, 237, 42, 114, 186, 258, 22, 94, 166, 238)(8, 80, 152, 224, 10, 82, 154, 226, 36, 108, 180, 252, 30, 102, 174, 246)(9, 81, 153, 225, 32, 104, 176, 248, 20, 92, 164, 236, 34, 106, 178, 250)(12, 84, 156, 228, 41, 113, 185, 257, 50, 122, 194, 266, 23, 95, 167, 239)(14, 86, 158, 230, 46, 118, 190, 262, 25, 97, 169, 241, 47, 119, 191, 263)(16, 88, 160, 232, 19, 91, 163, 235, 55, 127, 199, 271, 51, 123, 195, 267)(18, 90, 162, 234, 53, 125, 197, 269, 56, 128, 200, 272, 54, 126, 198, 270)(26, 98, 170, 242, 28, 100, 172, 244, 67, 139, 211, 283, 64, 136, 208, 280)(27, 99, 171, 243, 65, 137, 209, 281, 45, 117, 189, 261, 66, 138, 210, 282)(31, 103, 175, 247, 52, 124, 196, 268, 61, 133, 205, 277, 35, 107, 179, 251)(33, 105, 177, 249, 60, 132, 204, 276, 37, 109, 181, 253, 63, 135, 207, 279)(38, 110, 182, 254, 40, 112, 184, 256, 49, 121, 193, 265, 72, 144, 216, 288)(39, 111, 183, 255, 44, 116, 188, 260, 68, 140, 212, 284, 59, 131, 203, 275)(43, 115, 187, 259, 62, 134, 206, 278, 70, 142, 214, 286, 57, 129, 201, 273)(48, 120, 192, 264, 69, 141, 213, 285, 58, 130, 202, 274, 71, 143, 215, 287)
	L = (1, 74)(2, 80)(3, 79)(4, 88)(5, 73)(6, 95)(7, 98)(8, 77)(9, 83)(10, 107)(11, 110)(12, 87)(13, 111)(14, 75)(15, 112)(16, 113)(17, 103)(18, 76)(19, 104)(20, 94)(21, 129)(22, 131)(23, 124)(24, 115)(25, 78)(26, 86)(27, 89)(28, 108)(29, 102)(30, 138)(31, 106)(32, 100)(33, 81)(34, 99)(35, 134)(36, 91)(37, 82)(38, 105)(39, 96)(40, 114)(41, 90)(42, 84)(43, 85)(44, 137)(45, 119)(46, 123)(47, 126)(48, 101)(49, 139)(50, 136)(51, 140)(52, 97)(53, 141)(54, 142)(55, 130)(56, 92)(57, 127)(58, 93)(59, 128)(60, 122)(61, 144)(62, 109)(63, 118)(64, 143)(65, 121)(66, 120)(67, 116)(68, 135)(69, 133)(70, 117)(71, 132)(72, 125)(145, 219)(146, 225)(147, 228)(148, 221)(149, 236)(150, 217)(151, 243)(152, 245)(153, 247)(154, 218)(155, 255)(156, 222)(157, 230)(158, 261)(159, 264)(160, 262)(161, 234)(162, 263)(163, 220)(164, 235)(165, 224)(166, 256)(167, 276)(168, 241)(169, 279)(170, 266)(171, 246)(172, 223)(173, 259)(174, 244)(175, 226)(176, 249)(177, 284)(178, 272)(179, 285)(180, 253)(181, 287)(182, 277)(183, 238)(184, 227)(185, 258)(186, 274)(187, 237)(188, 229)(189, 260)(190, 242)(191, 268)(192, 280)(193, 231)(194, 232)(195, 273)(196, 233)(197, 257)(198, 275)(199, 252)(200, 288)(201, 270)(202, 269)(203, 267)(204, 254)(205, 239)(206, 240)(207, 278)(208, 265)(209, 250)(210, 286)(211, 248)(212, 283)(213, 282)(214, 251)(215, 271)(216, 281)
	local type(s) :: { ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E28.1655
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 144 f = 72
	degree seq :: [ 16^18 ]

E28.1662 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 4, 4})
Quotient :: loop^2
Aut^+ = (C3 x C3) : Q8 (small group id <72, 41>)
Aut   = ((C3 x C3) : C8) : C2 (small group id <144, 182>)
|r| :: 2
Presentation :: [ R^2, Y3^2, R * Y2 * R * Y1, (R * Y3)^2, Y1^4, Y2^4, Y1 * Y3 * Y1^-1 * Y2^2, Y1^-2 * Y2^-1 * Y3 * Y2, Y1 * Y2 * Y3 * Y1 * Y2, (Y1^-1 * Y3)^4, (Y2^-1, Y1^-1)^2, Y1 * Y2^-1 * Y1^-2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 73, 145, 217, 4, 76, 148, 220)(2, 74, 146, 218, 9, 81, 153, 225)(3, 75, 147, 219, 13, 85, 157, 229)(5, 77, 149, 221, 20, 92, 164, 236)(6, 78, 150, 222, 23, 95, 167, 239)(7, 79, 151, 223, 26, 98, 170, 242)(8, 80, 152, 224, 24, 96, 168, 240)(10, 82, 154, 226, 21, 93, 165, 237)(11, 83, 155, 227, 22, 94, 166, 238)(12, 84, 156, 228, 35, 107, 179, 251)(14, 86, 158, 230, 30, 102, 174, 246)(15, 87, 159, 231, 42, 114, 186, 258)(16, 88, 160, 232, 45, 117, 189, 261)(17, 89, 161, 233, 39, 111, 183, 255)(18, 90, 162, 234, 32, 104, 176, 248)(19, 91, 163, 235, 43, 115, 187, 259)(25, 97, 169, 241, 33, 105, 177, 249)(27, 99, 171, 243, 56, 128, 200, 272)(28, 100, 172, 244, 55, 127, 199, 271)(29, 101, 173, 245, 59, 131, 203, 275)(31, 103, 175, 247, 52, 124, 196, 268)(34, 106, 178, 250, 40, 112, 184, 256)(36, 108, 180, 252, 51, 123, 195, 267)(37, 109, 181, 253, 64, 136, 208, 280)(38, 110, 182, 254, 62, 134, 206, 278)(41, 113, 185, 257, 57, 129, 201, 273)(44, 116, 188, 260, 58, 130, 202, 274)(46, 118, 190, 262, 49, 121, 193, 265)(47, 119, 191, 263, 54, 126, 198, 270)(48, 120, 192, 264, 68, 140, 212, 284)(50, 122, 194, 266, 72, 144, 216, 288)(53, 125, 197, 269, 63, 135, 207, 279)(60, 132, 204, 276, 71, 143, 215, 287)(61, 133, 205, 277, 69, 141, 213, 285)(65, 137, 209, 281, 66, 138, 210, 282)(67, 139, 211, 283, 70, 142, 214, 286)
	L = (1, 74)(2, 79)(3, 83)(4, 87)(5, 73)(6, 94)(7, 77)(8, 90)(9, 101)(10, 104)(11, 88)(12, 81)(13, 93)(14, 75)(15, 113)(16, 86)(17, 76)(18, 102)(19, 118)(20, 110)(21, 121)(22, 122)(23, 124)(24, 78)(25, 103)(26, 125)(27, 98)(28, 80)(29, 108)(30, 100)(31, 127)(32, 133)(33, 82)(34, 134)(35, 112)(36, 84)(37, 85)(38, 123)(39, 137)(40, 138)(41, 89)(42, 140)(43, 95)(44, 114)(45, 91)(46, 119)(47, 117)(48, 92)(49, 109)(50, 96)(51, 120)(52, 142)(53, 129)(54, 97)(55, 126)(56, 130)(57, 99)(58, 106)(59, 111)(60, 131)(61, 105)(62, 128)(63, 107)(64, 139)(65, 132)(66, 135)(67, 141)(68, 143)(69, 144)(70, 115)(71, 116)(72, 136)(145, 219)(146, 224)(147, 228)(148, 232)(149, 235)(150, 217)(151, 241)(152, 243)(153, 246)(154, 218)(155, 236)(156, 222)(157, 245)(158, 255)(159, 240)(160, 260)(161, 237)(162, 220)(163, 233)(164, 263)(165, 221)(166, 267)(167, 223)(168, 269)(169, 264)(170, 271)(171, 226)(172, 251)(173, 249)(174, 276)(175, 225)(176, 257)(177, 254)(178, 227)(179, 266)(180, 280)(181, 256)(182, 229)(183, 253)(184, 230)(185, 283)(186, 238)(187, 231)(188, 234)(189, 284)(190, 242)(191, 250)(192, 239)(193, 273)(194, 274)(195, 285)(196, 252)(197, 259)(198, 272)(199, 282)(200, 277)(201, 288)(202, 244)(203, 248)(204, 247)(205, 287)(206, 265)(207, 268)(208, 279)(209, 261)(210, 262)(211, 275)(212, 286)(213, 258)(214, 281)(215, 270)(216, 278)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.1652
Transitivity :: VT+
Graph:: simple bipartite
	v = 36 e = 144 f = 54
	degree seq :: [ 8^36 ]

E28.1663 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 4, 4})
Quotient :: loop^2
Aut^+ = (C3 x C3) : Q8 (small group id <72, 41>)
Aut   = ((C3 x C3) : C8) : C2 (small group id <144, 182>)
|r| :: 2
Presentation :: [ R^2, Y3^2, R * Y2 * R * Y1, (R * Y3)^2, Y2^4, Y1^4, Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y1^-1, Y1 * Y2 * Y1^-1 * Y3 * Y2^-1, Y1 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y2, Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y3, Y1 * Y2^-1 * Y3 * Y2 * Y1^-1 * Y2^2, Y1^-1 * Y2^-2 * Y3 * Y2^2 * Y1^-1, Y1 * Y2 * Y3 * Y2^-1 * Y3 * Y1 * Y3, (Y2 * Y1^-1)^4, (Y3 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 73, 145, 217, 4, 76, 148, 220)(2, 74, 146, 218, 9, 81, 153, 225)(3, 75, 147, 219, 13, 85, 157, 229)(5, 77, 149, 221, 20, 92, 164, 236)(6, 78, 150, 222, 23, 95, 167, 239)(7, 79, 151, 223, 26, 98, 170, 242)(8, 80, 152, 224, 29, 101, 173, 245)(10, 82, 154, 226, 34, 106, 178, 250)(11, 83, 155, 227, 21, 93, 165, 237)(12, 84, 156, 228, 38, 110, 182, 254)(14, 86, 158, 230, 19, 91, 163, 235)(15, 87, 159, 231, 46, 118, 190, 262)(16, 88, 160, 232, 47, 119, 191, 263)(17, 89, 161, 233, 50, 122, 194, 266)(18, 90, 162, 234, 51, 123, 195, 267)(22, 94, 166, 238, 60, 132, 204, 276)(24, 96, 168, 240, 63, 135, 207, 279)(25, 97, 169, 241, 55, 127, 199, 271)(27, 99, 171, 243, 53, 125, 197, 269)(28, 100, 172, 244, 54, 126, 198, 270)(30, 102, 174, 246, 65, 137, 209, 281)(31, 103, 175, 247, 66, 138, 210, 282)(32, 104, 176, 248, 45, 117, 189, 261)(33, 105, 177, 249, 58, 130, 202, 274)(35, 107, 179, 251, 59, 131, 203, 275)(36, 108, 180, 252, 61, 133, 205, 277)(37, 109, 181, 253, 44, 116, 188, 260)(39, 111, 183, 255, 43, 115, 187, 259)(40, 112, 184, 256, 56, 128, 200, 272)(41, 113, 185, 257, 52, 124, 196, 268)(42, 114, 186, 258, 57, 129, 201, 273)(48, 120, 192, 264, 49, 121, 193, 265)(62, 134, 206, 278, 68, 140, 212, 284)(64, 136, 208, 280, 67, 139, 211, 283)(69, 141, 213, 285, 71, 143, 215, 287)(70, 142, 214, 286, 72, 144, 216, 288)
	L = (1, 74)(2, 79)(3, 83)(4, 87)(5, 73)(6, 94)(7, 77)(8, 95)(9, 102)(10, 105)(11, 107)(12, 109)(13, 80)(14, 75)(15, 110)(16, 93)(17, 76)(18, 82)(19, 125)(20, 128)(21, 130)(22, 131)(23, 113)(24, 78)(25, 106)(26, 111)(27, 132)(28, 129)(29, 97)(30, 126)(31, 81)(32, 99)(33, 124)(34, 136)(35, 86)(36, 142)(37, 98)(38, 89)(39, 84)(40, 116)(41, 85)(42, 108)(43, 138)(44, 144)(45, 123)(46, 114)(47, 117)(48, 88)(49, 127)(50, 134)(51, 135)(52, 90)(53, 121)(54, 103)(55, 91)(56, 100)(57, 92)(58, 120)(59, 96)(60, 139)(61, 137)(62, 133)(63, 119)(64, 101)(65, 122)(66, 141)(67, 104)(68, 115)(69, 140)(70, 118)(71, 112)(72, 143)(145, 219)(146, 224)(147, 228)(148, 232)(149, 235)(150, 217)(151, 241)(152, 244)(153, 240)(154, 218)(155, 233)(156, 222)(157, 256)(158, 259)(159, 261)(160, 242)(161, 265)(162, 220)(163, 270)(164, 248)(165, 221)(166, 231)(167, 247)(168, 236)(169, 254)(170, 234)(171, 223)(172, 226)(173, 262)(174, 263)(175, 251)(176, 225)(177, 246)(178, 253)(179, 278)(180, 227)(181, 257)(182, 243)(183, 279)(184, 275)(185, 285)(186, 229)(187, 264)(188, 230)(189, 277)(190, 268)(191, 284)(192, 260)(193, 252)(194, 245)(195, 286)(196, 266)(197, 273)(198, 237)(199, 281)(200, 267)(201, 280)(202, 272)(203, 258)(204, 255)(205, 238)(206, 239)(207, 287)(208, 288)(209, 283)(210, 271)(211, 282)(212, 249)(213, 250)(214, 274)(215, 276)(216, 269)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.1653
Transitivity :: VT+
Graph:: simple bipartite
	v = 36 e = 144 f = 54
	degree seq :: [ 8^36 ]

E28.1664 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 4, 4})
Quotient :: loop^2
Aut^+ = (C3 x C3) : Q8 (small group id <72, 41>)
Aut   = ((C3 x C3) : C8) : C2 (small group id <144, 182>)
|r| :: 2
Presentation :: [ R^2, Y3^2, R * Y2 * R * Y1, (R * Y3)^2, Y1^4, Y2^4, Y1^-2 * Y2 * Y3 * Y2^-1, Y1 * Y2^-2 * Y1^-1 * Y3, Y1 * Y2 * Y1 * Y3 * Y2, (Y2^-1, Y1^-1)^2, (Y2^-1 * Y1)^4, (Y1^-1 * Y3)^4 ]
Map:: polytopal non-degenerate
	R = (1, 73, 145, 217, 4, 76, 148, 220)(2, 74, 146, 218, 9, 81, 153, 225)(3, 75, 147, 219, 13, 85, 157, 229)(5, 77, 149, 221, 20, 92, 164, 236)(6, 78, 150, 222, 23, 95, 167, 239)(7, 79, 151, 223, 25, 97, 169, 241)(8, 80, 152, 224, 19, 91, 163, 235)(10, 82, 154, 226, 32, 104, 176, 248)(11, 83, 155, 227, 21, 93, 165, 237)(12, 84, 156, 228, 37, 109, 181, 253)(14, 86, 158, 230, 24, 96, 168, 240)(15, 87, 159, 231, 42, 114, 186, 258)(16, 88, 160, 232, 44, 116, 188, 260)(17, 89, 161, 233, 39, 111, 183, 255)(18, 90, 162, 234, 31, 103, 175, 247)(22, 94, 166, 238, 45, 117, 189, 261)(26, 98, 170, 242, 46, 118, 190, 262)(27, 99, 171, 243, 33, 105, 177, 249)(28, 100, 172, 244, 58, 130, 202, 274)(29, 101, 173, 245, 56, 128, 200, 272)(30, 102, 174, 246, 55, 127, 199, 271)(34, 106, 178, 250, 62, 134, 206, 278)(35, 107, 179, 251, 64, 136, 208, 280)(36, 108, 180, 252, 40, 112, 184, 256)(38, 110, 182, 254, 48, 120, 192, 264)(41, 113, 185, 257, 57, 129, 201, 273)(43, 115, 187, 259, 63, 135, 207, 279)(47, 119, 191, 263, 72, 144, 216, 288)(49, 121, 193, 265, 68, 140, 212, 284)(50, 122, 194, 266, 54, 126, 198, 270)(51, 123, 195, 267, 53, 125, 197, 269)(52, 124, 196, 268, 65, 137, 209, 281)(59, 131, 203, 275, 61, 133, 205, 277)(60, 132, 204, 276, 67, 139, 211, 283)(66, 138, 210, 282, 70, 142, 214, 286)(69, 141, 213, 285, 71, 143, 215, 287)
	L = (1, 74)(2, 79)(3, 83)(4, 87)(5, 73)(6, 94)(7, 77)(8, 95)(9, 100)(10, 103)(11, 106)(12, 108)(13, 104)(14, 75)(15, 113)(16, 93)(17, 76)(18, 96)(19, 118)(20, 84)(21, 122)(22, 90)(23, 124)(24, 78)(25, 119)(26, 127)(27, 80)(28, 112)(29, 81)(30, 105)(31, 102)(32, 132)(33, 82)(34, 86)(35, 97)(36, 121)(37, 136)(38, 85)(39, 115)(40, 101)(41, 89)(42, 140)(43, 141)(44, 91)(45, 88)(46, 142)(47, 129)(48, 98)(49, 92)(50, 117)(51, 109)(52, 99)(53, 135)(54, 120)(55, 126)(56, 125)(57, 107)(58, 111)(59, 114)(60, 110)(61, 123)(62, 138)(63, 144)(64, 133)(65, 134)(66, 139)(67, 137)(68, 143)(69, 130)(70, 116)(71, 131)(72, 128)(145, 219)(146, 224)(147, 228)(148, 232)(149, 235)(150, 217)(151, 229)(152, 231)(153, 240)(154, 218)(155, 233)(156, 222)(157, 244)(158, 255)(159, 226)(160, 259)(161, 248)(162, 220)(163, 263)(164, 264)(165, 221)(166, 267)(167, 245)(168, 269)(169, 249)(170, 223)(171, 272)(172, 242)(173, 262)(174, 225)(175, 275)(176, 251)(177, 277)(178, 253)(179, 227)(180, 254)(181, 266)(182, 280)(183, 282)(184, 230)(185, 260)(186, 238)(187, 234)(188, 284)(189, 236)(190, 265)(191, 237)(192, 287)(193, 239)(194, 279)(195, 268)(196, 258)(197, 246)(198, 241)(199, 285)(200, 278)(201, 243)(202, 247)(203, 276)(204, 274)(205, 270)(206, 273)(207, 250)(208, 281)(209, 252)(210, 256)(211, 257)(212, 283)(213, 286)(214, 288)(215, 261)(216, 271)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.1650
Transitivity :: VT+
Graph:: simple bipartite
	v = 36 e = 144 f = 54
	degree seq :: [ 8^36 ]

E28.1665 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 4, 4})
Quotient :: loop^2
Aut^+ = (C3 x C3) : Q8 (small group id <72, 41>)
Aut   = ((C3 x C3) : C8) : C2 (small group id <144, 182>)
|r| :: 2
Presentation :: [ R^2, Y3^2, R * Y2 * R * Y1, (R * Y3)^2, Y1^4, Y2^4, Y1 * Y3 * Y2 * Y1^-1 * Y2^-1, Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-2 * Y3 * Y1^2 * Y3, Y2^-1 * Y1^-1 * Y2 * Y3 * Y2^-1 * Y1 * Y2^-1, Y2 * Y1^-2 * Y3 * Y1^-2 * Y2, Y1^-1 * Y2 * Y1^-1 * Y3 * Y1 * Y2^-1 * Y1^-1, Y1 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y3, Y1 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2, (Y2 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 73, 145, 217, 4, 76, 148, 220)(2, 74, 146, 218, 9, 81, 153, 225)(3, 75, 147, 219, 13, 85, 157, 229)(5, 77, 149, 221, 20, 92, 164, 236)(6, 78, 150, 222, 23, 95, 167, 239)(7, 79, 151, 223, 26, 98, 170, 242)(8, 80, 152, 224, 24, 96, 168, 240)(10, 82, 154, 226, 22, 94, 166, 238)(11, 83, 155, 227, 36, 108, 180, 252)(12, 84, 156, 228, 38, 110, 182, 254)(14, 86, 158, 230, 44, 116, 188, 260)(15, 87, 159, 231, 45, 117, 189, 261)(16, 88, 160, 232, 48, 120, 192, 264)(17, 89, 161, 233, 49, 121, 193, 265)(18, 90, 162, 234, 52, 124, 196, 268)(19, 91, 163, 235, 54, 126, 198, 270)(21, 93, 165, 237, 57, 129, 201, 273)(25, 97, 169, 241, 34, 106, 178, 250)(27, 99, 171, 243, 33, 105, 177, 249)(28, 100, 172, 244, 53, 125, 197, 269)(29, 101, 173, 245, 55, 127, 199, 271)(30, 102, 174, 246, 61, 133, 205, 277)(31, 103, 175, 247, 62, 134, 206, 278)(32, 104, 176, 248, 50, 122, 194, 266)(35, 107, 179, 251, 58, 130, 202, 274)(37, 109, 181, 253, 60, 132, 204, 276)(39, 111, 183, 255, 59, 131, 203, 275)(40, 112, 184, 256, 71, 143, 215, 287)(41, 113, 185, 257, 47, 119, 191, 263)(42, 114, 186, 258, 67, 139, 211, 283)(43, 115, 187, 259, 63, 135, 207, 279)(46, 118, 190, 262, 51, 123, 195, 267)(56, 128, 200, 272, 68, 140, 212, 284)(64, 136, 208, 280, 69, 141, 213, 285)(65, 137, 209, 281, 66, 138, 210, 282)(70, 142, 214, 286, 72, 144, 216, 288)
	L = (1, 74)(2, 79)(3, 83)(4, 87)(5, 73)(6, 94)(7, 77)(8, 90)(9, 102)(10, 105)(11, 107)(12, 109)(13, 93)(14, 75)(15, 110)(16, 119)(17, 76)(18, 123)(19, 88)(20, 114)(21, 95)(22, 130)(23, 113)(24, 78)(25, 104)(26, 111)(27, 129)(28, 128)(29, 80)(30, 125)(31, 81)(32, 138)(33, 118)(34, 82)(35, 86)(36, 120)(37, 98)(38, 89)(39, 84)(40, 117)(41, 85)(42, 100)(43, 112)(44, 97)(45, 140)(46, 106)(47, 127)(48, 122)(49, 136)(50, 124)(51, 101)(52, 108)(53, 103)(54, 99)(55, 91)(56, 92)(57, 137)(58, 96)(59, 134)(60, 143)(61, 121)(62, 142)(63, 133)(64, 135)(65, 126)(66, 116)(67, 132)(68, 115)(69, 131)(70, 141)(71, 144)(72, 139)(145, 219)(146, 224)(147, 228)(148, 232)(149, 235)(150, 217)(151, 241)(152, 244)(153, 227)(154, 218)(155, 236)(156, 222)(157, 256)(158, 259)(159, 240)(160, 242)(161, 230)(162, 220)(163, 269)(164, 248)(165, 221)(166, 275)(167, 277)(168, 279)(169, 254)(170, 234)(171, 223)(172, 226)(173, 280)(174, 250)(175, 245)(176, 225)(177, 283)(178, 285)(179, 278)(180, 253)(181, 260)(182, 243)(183, 270)(184, 274)(185, 255)(186, 229)(187, 266)(188, 286)(189, 263)(190, 231)(191, 265)(192, 247)(193, 273)(194, 233)(195, 276)(196, 272)(197, 237)(198, 288)(199, 287)(200, 271)(201, 261)(202, 258)(203, 267)(204, 238)(205, 251)(206, 239)(207, 262)(208, 264)(209, 246)(210, 284)(211, 282)(212, 249)(213, 281)(214, 252)(215, 268)(216, 257)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.1651
Transitivity :: VT+
Graph:: simple bipartite
	v = 36 e = 144 f = 54
	degree seq :: [ 8^36 ]

E28.1666 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 4, 4})
Quotient :: edge^2
Aut^+ = (C3 x A4) : C2 (small group id <72, 43>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y1^4, Y3^4, (R * Y3)^2, Y2^4, R * Y1 * R * Y2, (Y2 * Y1^-1)^3, (Y2 * Y1^-2)^2, Y3^2 * Y1^-1 * Y3^-2 * Y1^-1, Y3 * Y1^2 * Y3 * Y1^-2, Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y2^-1 * Y3 * Y1^-2 * Y3^-1 * Y2^-1, (Y2^2 * Y3)^2, Y1^2 * Y2 * Y3^-2 * Y2^-1, (Y2^-1 * Y1^-1)^3, Y1 * Y3^-2 * Y2^-2 * Y1, Y3^-1 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1, Y3 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y3^2 * Y2^2 * Y1^-2, Y2^-1 * Y1 * Y3^-2 * Y1^-1 * Y2^-1, Y1^-1 * Y3 * Y2^-2 * Y3^-1 * Y1^-1, Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y2^-1, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, (Y3 * Y2)^3, (Y3 * Y2 * Y1^-1)^2, Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, (Y2^-1 * Y3 * Y2^-1)^2, (Y2 * Y3^-1 * Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 4, 76, 20, 92, 7, 79)(2, 74, 10, 82, 46, 118, 12, 84)(3, 75, 15, 87, 35, 107, 17, 89)(5, 77, 24, 96, 40, 112, 26, 98)(6, 78, 28, 100, 37, 109, 30, 102)(8, 80, 36, 108, 14, 86, 38, 110)(9, 81, 41, 113, 23, 95, 43, 115)(11, 83, 50, 122, 25, 97, 52, 124)(13, 85, 57, 129, 27, 99, 58, 130)(16, 88, 61, 133, 29, 101, 62, 134)(18, 90, 44, 116, 33, 105, 55, 127)(19, 91, 59, 131, 34, 106, 64, 136)(21, 93, 53, 125, 31, 103, 47, 119)(22, 94, 63, 135, 32, 104, 60, 132)(39, 111, 65, 137, 49, 121, 66, 138)(42, 114, 69, 141, 51, 123, 70, 142)(45, 117, 67, 139, 56, 128, 72, 144)(48, 120, 71, 143, 54, 126, 68, 140)(145, 146, 152, 149)(147, 157, 181, 160)(148, 162, 182, 165)(150, 171, 179, 173)(151, 175, 180, 177)(153, 183, 169, 186)(154, 188, 170, 191)(155, 193, 167, 195)(156, 197, 168, 199)(158, 190, 164, 184)(159, 198, 172, 189)(161, 200, 174, 192)(163, 187, 176, 196)(166, 185, 178, 194)(201, 212, 206, 216)(202, 211, 205, 215)(203, 210, 207, 213)(204, 209, 208, 214)(217, 219, 230, 222)(218, 225, 256, 227)(220, 235, 252, 238)(221, 239, 262, 241)(223, 248, 254, 250)(224, 251, 236, 253)(226, 261, 240, 264)(228, 270, 242, 272)(229, 255, 245, 267)(231, 275, 246, 276)(232, 265, 243, 258)(233, 279, 244, 280)(234, 277, 247, 273)(237, 278, 249, 274)(257, 283, 268, 284)(259, 287, 266, 288)(260, 285, 269, 281)(263, 286, 271, 282)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E28.1669
Graph:: simple bipartite
	v = 54 e = 144 f = 36
	degree seq :: [ 4^36, 8^18 ]

E28.1667 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 4, 4})
Quotient :: edge^2
Aut^+ = (C3 x A4) : C2 (small group id <72, 43>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^4, Y1^4, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1^-1, (Y1^-1 * Y3 * Y2)^2, (Y3 * Y1^-1)^3, Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2, Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1, Y3 * Y1^-2 * Y3 * Y2^-2, (Y3 * Y2^-1)^3, Y3 * Y1 * Y2 * Y3 * Y1^-1 * Y2^-1, Y2^-1 * Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 4, 76)(2, 74, 9, 81)(3, 75, 13, 85)(5, 77, 20, 92)(6, 78, 23, 95)(7, 79, 26, 98)(8, 80, 30, 102)(10, 82, 37, 109)(11, 83, 39, 111)(12, 84, 41, 113)(14, 86, 45, 117)(15, 87, 46, 118)(16, 88, 47, 119)(17, 89, 32, 104)(18, 90, 43, 115)(19, 91, 50, 122)(21, 93, 51, 123)(22, 94, 48, 120)(24, 96, 49, 121)(25, 97, 55, 127)(27, 99, 58, 130)(28, 100, 59, 131)(29, 101, 60, 132)(31, 103, 64, 136)(33, 105, 65, 137)(34, 106, 56, 128)(35, 107, 62, 134)(36, 108, 66, 138)(38, 110, 67, 139)(40, 112, 69, 141)(42, 114, 63, 135)(44, 116, 70, 142)(52, 124, 57, 129)(53, 125, 61, 133)(54, 126, 71, 143)(68, 140, 72, 144)(145, 146, 151, 149)(147, 155, 171, 158)(148, 159, 185, 161)(150, 166, 169, 168)(152, 172, 165, 175)(153, 176, 204, 178)(154, 180, 163, 182)(156, 184, 198, 173)(157, 186, 167, 179)(160, 174, 205, 181)(162, 194, 214, 195)(164, 196, 213, 190)(170, 200, 215, 201)(177, 199, 216, 202)(183, 206, 193, 209)(187, 203, 191, 211)(188, 210, 197, 208)(189, 212, 192, 207)(217, 219, 228, 222)(218, 224, 245, 226)(220, 232, 242, 234)(221, 235, 256, 237)(223, 241, 270, 243)(225, 249, 236, 251)(227, 244, 240, 254)(229, 259, 274, 260)(230, 252, 238, 247)(231, 255, 273, 261)(233, 264, 272, 265)(239, 269, 271, 263)(246, 278, 267, 279)(248, 275, 262, 280)(250, 282, 268, 283)(253, 284, 266, 281)(257, 286, 287, 277)(258, 285, 288, 276)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E28.1668
Graph:: simple bipartite
	v = 72 e = 144 f = 18
	degree seq :: [ 4^72 ]

E28.1668 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 4, 4})
Quotient :: loop^2
Aut^+ = (C3 x A4) : C2 (small group id <72, 43>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y1^4, Y3^4, (R * Y3)^2, Y2^4, R * Y1 * R * Y2, (Y2 * Y1^-1)^3, (Y2 * Y1^-2)^2, Y3^2 * Y1^-1 * Y3^-2 * Y1^-1, Y3 * Y1^2 * Y3 * Y1^-2, Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y2^-1 * Y3 * Y1^-2 * Y3^-1 * Y2^-1, (Y2^2 * Y3)^2, Y1^2 * Y2 * Y3^-2 * Y2^-1, (Y2^-1 * Y1^-1)^3, Y1 * Y3^-2 * Y2^-2 * Y1, Y3^-1 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1, Y3 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y3^2 * Y2^2 * Y1^-2, Y2^-1 * Y1 * Y3^-2 * Y1^-1 * Y2^-1, Y1^-1 * Y3 * Y2^-2 * Y3^-1 * Y1^-1, Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y2^-1, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, (Y3 * Y2)^3, (Y3 * Y2 * Y1^-1)^2, Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, (Y2^-1 * Y3 * Y2^-1)^2, (Y2 * Y3^-1 * Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 145, 217, 4, 76, 148, 220, 20, 92, 164, 236, 7, 79, 151, 223)(2, 74, 146, 218, 10, 82, 154, 226, 46, 118, 190, 262, 12, 84, 156, 228)(3, 75, 147, 219, 15, 87, 159, 231, 35, 107, 179, 251, 17, 89, 161, 233)(5, 77, 149, 221, 24, 96, 168, 240, 40, 112, 184, 256, 26, 98, 170, 242)(6, 78, 150, 222, 28, 100, 172, 244, 37, 109, 181, 253, 30, 102, 174, 246)(8, 80, 152, 224, 36, 108, 180, 252, 14, 86, 158, 230, 38, 110, 182, 254)(9, 81, 153, 225, 41, 113, 185, 257, 23, 95, 167, 239, 43, 115, 187, 259)(11, 83, 155, 227, 50, 122, 194, 266, 25, 97, 169, 241, 52, 124, 196, 268)(13, 85, 157, 229, 57, 129, 201, 273, 27, 99, 171, 243, 58, 130, 202, 274)(16, 88, 160, 232, 61, 133, 205, 277, 29, 101, 173, 245, 62, 134, 206, 278)(18, 90, 162, 234, 44, 116, 188, 260, 33, 105, 177, 249, 55, 127, 199, 271)(19, 91, 163, 235, 59, 131, 203, 275, 34, 106, 178, 250, 64, 136, 208, 280)(21, 93, 165, 237, 53, 125, 197, 269, 31, 103, 175, 247, 47, 119, 191, 263)(22, 94, 166, 238, 63, 135, 207, 279, 32, 104, 176, 248, 60, 132, 204, 276)(39, 111, 183, 255, 65, 137, 209, 281, 49, 121, 193, 265, 66, 138, 210, 282)(42, 114, 186, 258, 69, 141, 213, 285, 51, 123, 195, 267, 70, 142, 214, 286)(45, 117, 189, 261, 67, 139, 211, 283, 56, 128, 200, 272, 72, 144, 216, 288)(48, 120, 192, 264, 71, 143, 215, 287, 54, 126, 198, 270, 68, 140, 212, 284)
	L = (1, 74)(2, 80)(3, 85)(4, 90)(5, 73)(6, 99)(7, 103)(8, 77)(9, 111)(10, 116)(11, 121)(12, 125)(13, 109)(14, 118)(15, 126)(16, 75)(17, 128)(18, 110)(19, 115)(20, 112)(21, 76)(22, 113)(23, 123)(24, 127)(25, 114)(26, 119)(27, 107)(28, 117)(29, 78)(30, 120)(31, 108)(32, 124)(33, 79)(34, 122)(35, 101)(36, 105)(37, 88)(38, 93)(39, 97)(40, 86)(41, 106)(42, 81)(43, 104)(44, 98)(45, 87)(46, 92)(47, 82)(48, 89)(49, 95)(50, 94)(51, 83)(52, 91)(53, 96)(54, 100)(55, 84)(56, 102)(57, 140)(58, 139)(59, 138)(60, 137)(61, 143)(62, 144)(63, 141)(64, 142)(65, 136)(66, 135)(67, 133)(68, 134)(69, 131)(70, 132)(71, 130)(72, 129)(145, 219)(146, 225)(147, 230)(148, 235)(149, 239)(150, 217)(151, 248)(152, 251)(153, 256)(154, 261)(155, 218)(156, 270)(157, 255)(158, 222)(159, 275)(160, 265)(161, 279)(162, 277)(163, 252)(164, 253)(165, 278)(166, 220)(167, 262)(168, 264)(169, 221)(170, 272)(171, 258)(172, 280)(173, 267)(174, 276)(175, 273)(176, 254)(177, 274)(178, 223)(179, 236)(180, 238)(181, 224)(182, 250)(183, 245)(184, 227)(185, 283)(186, 232)(187, 287)(188, 285)(189, 240)(190, 241)(191, 286)(192, 226)(193, 243)(194, 288)(195, 229)(196, 284)(197, 281)(198, 242)(199, 282)(200, 228)(201, 234)(202, 237)(203, 246)(204, 231)(205, 247)(206, 249)(207, 244)(208, 233)(209, 260)(210, 263)(211, 268)(212, 257)(213, 269)(214, 271)(215, 266)(216, 259)
	local type(s) :: { ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E28.1667
Transitivity :: VT+
Graph::
	v = 18 e = 144 f = 72
	degree seq :: [ 16^18 ]

E28.1669 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 4, 4})
Quotient :: loop^2
Aut^+ = (C3 x A4) : C2 (small group id <72, 43>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^4, Y1^4, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1^-1, (Y1^-1 * Y3 * Y2)^2, (Y3 * Y1^-1)^3, Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2, Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1, Y3 * Y1^-2 * Y3 * Y2^-2, (Y3 * Y2^-1)^3, Y3 * Y1 * Y2 * Y3 * Y1^-1 * Y2^-1, Y2^-1 * Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 145, 217, 4, 76, 148, 220)(2, 74, 146, 218, 9, 81, 153, 225)(3, 75, 147, 219, 13, 85, 157, 229)(5, 77, 149, 221, 20, 92, 164, 236)(6, 78, 150, 222, 23, 95, 167, 239)(7, 79, 151, 223, 26, 98, 170, 242)(8, 80, 152, 224, 30, 102, 174, 246)(10, 82, 154, 226, 37, 109, 181, 253)(11, 83, 155, 227, 39, 111, 183, 255)(12, 84, 156, 228, 41, 113, 185, 257)(14, 86, 158, 230, 45, 117, 189, 261)(15, 87, 159, 231, 46, 118, 190, 262)(16, 88, 160, 232, 47, 119, 191, 263)(17, 89, 161, 233, 32, 104, 176, 248)(18, 90, 162, 234, 43, 115, 187, 259)(19, 91, 163, 235, 50, 122, 194, 266)(21, 93, 165, 237, 51, 123, 195, 267)(22, 94, 166, 238, 48, 120, 192, 264)(24, 96, 168, 240, 49, 121, 193, 265)(25, 97, 169, 241, 55, 127, 199, 271)(27, 99, 171, 243, 58, 130, 202, 274)(28, 100, 172, 244, 59, 131, 203, 275)(29, 101, 173, 245, 60, 132, 204, 276)(31, 103, 175, 247, 64, 136, 208, 280)(33, 105, 177, 249, 65, 137, 209, 281)(34, 106, 178, 250, 56, 128, 200, 272)(35, 107, 179, 251, 62, 134, 206, 278)(36, 108, 180, 252, 66, 138, 210, 282)(38, 110, 182, 254, 67, 139, 211, 283)(40, 112, 184, 256, 69, 141, 213, 285)(42, 114, 186, 258, 63, 135, 207, 279)(44, 116, 188, 260, 70, 142, 214, 286)(52, 124, 196, 268, 57, 129, 201, 273)(53, 125, 197, 269, 61, 133, 205, 277)(54, 126, 198, 270, 71, 143, 215, 287)(68, 140, 212, 284, 72, 144, 216, 288)
	L = (1, 74)(2, 79)(3, 83)(4, 87)(5, 73)(6, 94)(7, 77)(8, 100)(9, 104)(10, 108)(11, 99)(12, 112)(13, 114)(14, 75)(15, 113)(16, 102)(17, 76)(18, 122)(19, 110)(20, 124)(21, 103)(22, 97)(23, 107)(24, 78)(25, 96)(26, 128)(27, 86)(28, 93)(29, 84)(30, 133)(31, 80)(32, 132)(33, 127)(34, 81)(35, 85)(36, 91)(37, 88)(38, 82)(39, 134)(40, 126)(41, 89)(42, 95)(43, 131)(44, 138)(45, 140)(46, 92)(47, 139)(48, 135)(49, 137)(50, 142)(51, 90)(52, 141)(53, 136)(54, 101)(55, 144)(56, 143)(57, 98)(58, 105)(59, 119)(60, 106)(61, 109)(62, 121)(63, 117)(64, 116)(65, 111)(66, 125)(67, 115)(68, 120)(69, 118)(70, 123)(71, 129)(72, 130)(145, 219)(146, 224)(147, 228)(148, 232)(149, 235)(150, 217)(151, 241)(152, 245)(153, 249)(154, 218)(155, 244)(156, 222)(157, 259)(158, 252)(159, 255)(160, 242)(161, 264)(162, 220)(163, 256)(164, 251)(165, 221)(166, 247)(167, 269)(168, 254)(169, 270)(170, 234)(171, 223)(172, 240)(173, 226)(174, 278)(175, 230)(176, 275)(177, 236)(178, 282)(179, 225)(180, 238)(181, 284)(182, 227)(183, 273)(184, 237)(185, 286)(186, 285)(187, 274)(188, 229)(189, 231)(190, 280)(191, 239)(192, 272)(193, 233)(194, 281)(195, 279)(196, 283)(197, 271)(198, 243)(199, 263)(200, 265)(201, 261)(202, 260)(203, 262)(204, 258)(205, 257)(206, 267)(207, 246)(208, 248)(209, 253)(210, 268)(211, 250)(212, 266)(213, 288)(214, 287)(215, 277)(216, 276)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.1666
Transitivity :: VT+
Graph:: simple
	v = 36 e = 144 f = 54
	degree seq :: [ 8^36 ]

E28.1670 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C3 x A4) : C2 (small group id <72, 43>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, (Y2^-1 * Y3^-1)^2, Y2^4, (R * Y3)^2, (R * Y1)^2, R * Y2^-1 * Y3 * R * Y2, Y2 * Y1 * Y3 * Y1 * Y3 * Y2, (R * Y2 * Y3^-1)^2, (Y2 * Y1)^3, Y1 * Y2^-1 * Y3 * Y1 * Y2 * Y3^-1 * Y1 * Y2, (Y3 * Y2^-1)^4 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 15, 87)(5, 77, 18, 90)(6, 78, 20, 92)(7, 79, 22, 94)(8, 80, 26, 98)(9, 81, 29, 101)(10, 82, 31, 103)(12, 84, 36, 108)(13, 85, 38, 110)(14, 86, 40, 112)(16, 88, 33, 105)(17, 89, 44, 116)(19, 91, 48, 120)(21, 93, 35, 107)(23, 95, 54, 126)(24, 96, 55, 127)(25, 97, 57, 129)(27, 99, 51, 123)(28, 100, 60, 132)(30, 102, 64, 136)(32, 104, 53, 125)(34, 106, 65, 137)(37, 109, 56, 128)(39, 111, 43, 115)(41, 113, 50, 122)(42, 114, 63, 135)(45, 117, 62, 134)(46, 118, 61, 133)(47, 119, 59, 131)(49, 121, 58, 130)(52, 124, 71, 143)(66, 138, 68, 140)(67, 139, 70, 142)(69, 141, 72, 144)(145, 217, 147, 219, 156, 228, 149, 221)(146, 218, 151, 223, 167, 239, 153, 225)(148, 220, 160, 232, 175, 247, 161, 233)(150, 222, 165, 237, 183, 255, 157, 229)(152, 224, 171, 243, 164, 236, 172, 244)(154, 226, 176, 248, 200, 272, 168, 240)(155, 227, 173, 245, 206, 278, 178, 250)(158, 230, 185, 257, 210, 282, 181, 253)(159, 231, 186, 258, 194, 266, 174, 246)(162, 234, 190, 262, 196, 268, 166, 238)(163, 235, 170, 242, 203, 275, 193, 265)(169, 241, 202, 274, 214, 286, 187, 259)(177, 249, 208, 280, 184, 256, 197, 269)(179, 251, 195, 267, 192, 264, 201, 273)(180, 252, 209, 281, 216, 288, 205, 277)(182, 254, 211, 283, 191, 263, 204, 276)(188, 260, 199, 271, 212, 284, 207, 279)(189, 261, 198, 270, 215, 287, 213, 285)
	L = (1, 148)(2, 152)(3, 157)(4, 150)(5, 163)(6, 145)(7, 168)(8, 154)(9, 174)(10, 146)(11, 177)(12, 181)(13, 158)(14, 147)(15, 167)(16, 149)(17, 189)(18, 184)(19, 160)(20, 194)(21, 161)(22, 195)(23, 187)(24, 169)(25, 151)(26, 156)(27, 153)(28, 205)(29, 201)(30, 171)(31, 193)(32, 172)(33, 179)(34, 204)(35, 155)(36, 164)(37, 170)(38, 206)(39, 213)(40, 191)(41, 183)(42, 214)(43, 159)(44, 192)(45, 165)(46, 211)(47, 162)(48, 196)(49, 198)(50, 180)(51, 197)(52, 188)(53, 166)(54, 175)(55, 190)(56, 216)(57, 207)(58, 200)(59, 210)(60, 208)(61, 176)(62, 212)(63, 173)(64, 178)(65, 186)(66, 215)(67, 199)(68, 182)(69, 185)(70, 209)(71, 203)(72, 202)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E28.1671
Graph:: simple bipartite
	v = 54 e = 144 f = 36
	degree seq :: [ 4^36, 8^18 ]

E28.1671 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C3 x A4) : C2 (small group id <72, 43>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y2^-1 * Y3^-1)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, Y2^4, (R * Y3)^2, Y1^4, Y2 * Y3^-1 * Y2 * Y1 * Y3 * Y1^-1, Y1^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y3 * Y2^2 * Y1^-1, Y1^-1 * Y2^-1 * Y1^2 * Y2^-1 * Y1^-1, Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, (Y2^-1 * Y1^-1)^3, Y1^-1 * Y2^2 * Y1^-1 * Y2^-2, (Y2 * Y1^-1)^3, Y2^-1 * Y3 * Y1 * Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 8, 80, 5, 77)(3, 75, 13, 85, 32, 104, 16, 88)(4, 76, 18, 90, 50, 122, 20, 92)(6, 78, 25, 97, 30, 102, 27, 99)(7, 79, 28, 100, 40, 112, 10, 82)(9, 81, 34, 106, 24, 96, 37, 109)(11, 83, 42, 114, 22, 94, 44, 116)(12, 84, 45, 117, 62, 134, 31, 103)(14, 86, 49, 121, 60, 132, 35, 107)(15, 87, 52, 124, 26, 98, 53, 125)(17, 89, 55, 127, 21, 93, 47, 119)(19, 91, 54, 126, 61, 133, 56, 128)(23, 95, 33, 105, 64, 136, 51, 123)(29, 101, 59, 131, 63, 135, 48, 120)(36, 108, 67, 139, 43, 115, 68, 140)(38, 110, 70, 142, 41, 113, 65, 137)(39, 111, 69, 141, 58, 130, 71, 143)(46, 118, 72, 144, 57, 129, 66, 138)(145, 217, 147, 219, 158, 230, 150, 222)(146, 218, 153, 225, 179, 251, 155, 227)(148, 220, 163, 235, 189, 261, 165, 237)(149, 221, 166, 238, 193, 265, 168, 240)(151, 223, 173, 245, 177, 249, 159, 231)(152, 224, 174, 246, 204, 276, 176, 248)(154, 226, 183, 255, 208, 280, 185, 257)(156, 228, 190, 262, 162, 234, 180, 252)(157, 229, 178, 250, 171, 243, 188, 260)(160, 232, 186, 258, 169, 241, 181, 253)(161, 233, 175, 247, 205, 277, 194, 266)(164, 236, 201, 273, 206, 278, 187, 259)(167, 239, 202, 274, 172, 244, 182, 254)(170, 242, 195, 267, 207, 279, 184, 256)(191, 263, 212, 284, 200, 272, 216, 288)(192, 264, 215, 287, 196, 268, 209, 281)(197, 269, 213, 285, 203, 275, 214, 286)(198, 270, 211, 283, 199, 271, 210, 282)
	L = (1, 148)(2, 154)(3, 159)(4, 151)(5, 167)(6, 170)(7, 145)(8, 175)(9, 180)(10, 156)(11, 187)(12, 146)(13, 191)(14, 194)(15, 161)(16, 198)(17, 147)(18, 149)(19, 150)(20, 179)(21, 174)(22, 190)(23, 162)(24, 201)(25, 200)(26, 163)(27, 199)(28, 164)(29, 165)(30, 173)(31, 177)(32, 207)(33, 152)(34, 209)(35, 172)(36, 182)(37, 213)(38, 153)(39, 155)(40, 204)(41, 166)(42, 215)(43, 183)(44, 214)(45, 184)(46, 185)(47, 192)(48, 157)(49, 208)(50, 195)(51, 158)(52, 160)(53, 171)(54, 196)(55, 197)(56, 203)(57, 202)(58, 168)(59, 169)(60, 189)(61, 176)(62, 193)(63, 205)(64, 206)(65, 210)(66, 178)(67, 181)(68, 188)(69, 211)(70, 212)(71, 216)(72, 186)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.1670
Graph:: simple bipartite
	v = 36 e = 144 f = 54
	degree seq :: [ 8^36 ]

E28.1672 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 22>)
Aut   = ((C6 x C2) : C2) x S3 (small group id <144, 153>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^4, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y1)^2, R * Y2 * R * Y2^-1, Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, (Y3^-1 * Y1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 7, 79)(4, 76, 13, 85)(5, 77, 9, 81)(6, 78, 17, 89)(8, 80, 20, 92)(10, 82, 24, 96)(11, 83, 25, 97)(12, 84, 27, 99)(14, 86, 28, 100)(15, 87, 22, 94)(16, 88, 32, 104)(18, 90, 33, 105)(19, 91, 35, 107)(21, 93, 36, 108)(23, 95, 40, 112)(26, 98, 34, 106)(29, 101, 45, 117)(30, 102, 46, 118)(31, 103, 39, 111)(37, 109, 51, 123)(38, 110, 52, 124)(41, 113, 53, 125)(42, 114, 54, 126)(43, 115, 55, 127)(44, 116, 56, 128)(47, 119, 59, 131)(48, 120, 60, 132)(49, 121, 61, 133)(50, 122, 62, 134)(57, 129, 64, 136)(58, 130, 63, 135)(65, 137, 70, 142)(66, 138, 69, 141)(67, 139, 72, 144)(68, 140, 71, 143)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 158, 230, 155, 227)(150, 222, 160, 232, 156, 228)(152, 224, 165, 237, 162, 234)(154, 226, 167, 239, 163, 235)(157, 229, 172, 244, 169, 241)(159, 231, 170, 242, 175, 247)(161, 233, 176, 248, 171, 243)(164, 236, 180, 252, 177, 249)(166, 238, 178, 250, 183, 255)(168, 240, 184, 256, 179, 251)(173, 245, 185, 257, 187, 259)(174, 246, 186, 258, 188, 260)(181, 253, 191, 263, 193, 265)(182, 254, 192, 264, 194, 266)(189, 261, 197, 269, 199, 271)(190, 262, 198, 270, 200, 272)(195, 267, 203, 275, 205, 277)(196, 268, 204, 276, 206, 278)(201, 273, 211, 283, 209, 281)(202, 274, 212, 284, 210, 282)(207, 279, 215, 287, 213, 285)(208, 280, 216, 288, 214, 286)
	L = (1, 148)(2, 152)(3, 155)(4, 159)(5, 158)(6, 145)(7, 162)(8, 166)(9, 165)(10, 146)(11, 170)(12, 147)(13, 173)(14, 175)(15, 150)(16, 149)(17, 174)(18, 178)(19, 151)(20, 181)(21, 183)(22, 154)(23, 153)(24, 182)(25, 185)(26, 156)(27, 186)(28, 187)(29, 161)(30, 157)(31, 160)(32, 188)(33, 191)(34, 163)(35, 192)(36, 193)(37, 168)(38, 164)(39, 167)(40, 194)(41, 171)(42, 169)(43, 176)(44, 172)(45, 201)(46, 202)(47, 179)(48, 177)(49, 184)(50, 180)(51, 207)(52, 208)(53, 209)(54, 210)(55, 211)(56, 212)(57, 190)(58, 189)(59, 213)(60, 214)(61, 215)(62, 216)(63, 196)(64, 195)(65, 198)(66, 197)(67, 200)(68, 199)(69, 204)(70, 203)(71, 206)(72, 205)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1684
Graph:: simple bipartite
	v = 60 e = 144 f = 30
	degree seq :: [ 4^36, 6^24 ]

E28.1673 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 22>)
Aut   = ((C6 x C2) : C2) x S3 (small group id <144, 153>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^-1 * Y2^-1 * Y3 * Y2^-1, Y2 * Y3 * Y2 * Y3^-1, (R * Y1)^2, R * Y2 * R * Y2^-1, Y3^4, (R * Y3)^2, (Y1 * Y3 * Y2^-1)^2, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2^-1 * Y1, Y1 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 14, 86)(5, 77, 17, 89)(6, 78, 19, 91)(7, 79, 20, 92)(8, 80, 23, 95)(9, 81, 26, 98)(10, 82, 28, 100)(12, 84, 22, 94)(13, 85, 21, 93)(15, 87, 38, 110)(16, 88, 25, 97)(18, 90, 42, 114)(24, 96, 53, 125)(27, 99, 57, 129)(29, 101, 44, 116)(30, 102, 51, 123)(31, 103, 50, 122)(32, 104, 58, 130)(33, 105, 60, 132)(34, 106, 55, 127)(35, 107, 46, 118)(36, 108, 45, 117)(37, 109, 64, 136)(39, 111, 62, 134)(40, 112, 49, 121)(41, 113, 56, 128)(43, 115, 47, 119)(48, 120, 67, 139)(52, 124, 71, 143)(54, 126, 69, 141)(59, 131, 68, 140)(61, 133, 66, 138)(63, 135, 70, 142)(65, 137, 72, 144)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 159, 231, 156, 228)(150, 222, 162, 234, 157, 229)(152, 224, 168, 240, 165, 237)(154, 226, 171, 243, 166, 238)(155, 227, 173, 245, 175, 247)(158, 230, 178, 250, 180, 252)(160, 232, 177, 249, 183, 255)(161, 233, 179, 251, 185, 257)(163, 235, 184, 256, 187, 259)(164, 236, 188, 260, 190, 262)(167, 239, 193, 265, 195, 267)(169, 241, 192, 264, 198, 270)(170, 242, 194, 266, 200, 272)(172, 244, 199, 271, 202, 274)(174, 246, 203, 275, 186, 258)(176, 248, 205, 277, 182, 254)(181, 253, 207, 279, 206, 278)(189, 261, 210, 282, 201, 273)(191, 263, 212, 284, 197, 269)(196, 268, 214, 286, 213, 285)(204, 276, 209, 281, 215, 287)(208, 280, 211, 283, 216, 288)
	L = (1, 148)(2, 152)(3, 156)(4, 160)(5, 159)(6, 145)(7, 165)(8, 169)(9, 168)(10, 146)(11, 174)(12, 177)(13, 147)(14, 179)(15, 183)(16, 150)(17, 184)(18, 149)(19, 181)(20, 189)(21, 192)(22, 151)(23, 194)(24, 198)(25, 154)(26, 199)(27, 153)(28, 196)(29, 186)(30, 204)(31, 203)(32, 155)(33, 157)(34, 161)(35, 163)(36, 185)(37, 158)(38, 173)(39, 162)(40, 206)(41, 187)(42, 209)(43, 207)(44, 201)(45, 211)(46, 210)(47, 164)(48, 166)(49, 170)(50, 172)(51, 200)(52, 167)(53, 188)(54, 171)(55, 213)(56, 202)(57, 216)(58, 214)(59, 215)(60, 176)(61, 175)(62, 178)(63, 180)(64, 212)(65, 182)(66, 208)(67, 191)(68, 190)(69, 193)(70, 195)(71, 205)(72, 197)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1685
Graph:: simple bipartite
	v = 60 e = 144 f = 30
	degree seq :: [ 4^36, 6^24 ]

E28.1674 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 22>)
Aut   = ((C6 x C2) : C2) x S3 (small group id <144, 153>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^4, Y2^-1 * Y3^-1 * Y2^-1 * Y3, (R * Y1)^2, R * Y2 * R * Y2^-1, (R * Y3)^2, Y3^-1 * Y1 * Y3^-1 * Y2 * Y1 * Y2^-1, Y3^2 * Y1 * Y3^-2 * Y1, Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2^-1 * Y1, Y3 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 14, 86)(5, 77, 17, 89)(6, 78, 19, 91)(7, 79, 20, 92)(8, 80, 23, 95)(9, 81, 26, 98)(10, 82, 28, 100)(12, 84, 33, 105)(13, 85, 35, 107)(15, 87, 27, 99)(16, 88, 25, 97)(18, 90, 24, 96)(21, 93, 48, 120)(22, 94, 50, 122)(29, 101, 44, 116)(30, 102, 47, 119)(31, 103, 54, 126)(32, 104, 45, 117)(34, 106, 59, 131)(36, 108, 55, 127)(37, 109, 64, 136)(38, 110, 65, 137)(39, 111, 46, 118)(40, 112, 51, 123)(41, 113, 56, 128)(42, 114, 58, 130)(43, 115, 57, 129)(49, 121, 66, 138)(52, 124, 71, 143)(53, 125, 72, 144)(60, 132, 69, 141)(61, 133, 68, 140)(62, 134, 67, 139)(63, 135, 70, 142)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 159, 231, 156, 228)(150, 222, 162, 234, 157, 229)(152, 224, 168, 240, 165, 237)(154, 226, 171, 243, 166, 238)(155, 227, 173, 245, 175, 247)(158, 230, 180, 252, 176, 248)(160, 232, 178, 250, 182, 254)(161, 233, 183, 255, 185, 257)(163, 235, 187, 259, 174, 246)(164, 236, 188, 260, 190, 262)(167, 239, 195, 267, 191, 263)(169, 241, 193, 265, 197, 269)(170, 242, 198, 270, 200, 272)(172, 244, 202, 274, 189, 261)(177, 249, 204, 276, 186, 258)(179, 251, 206, 278, 184, 256)(181, 253, 203, 275, 207, 279)(192, 264, 211, 283, 201, 273)(194, 266, 213, 285, 199, 271)(196, 268, 210, 282, 214, 286)(205, 277, 209, 281, 215, 287)(208, 280, 212, 284, 216, 288)
	L = (1, 148)(2, 152)(3, 156)(4, 160)(5, 159)(6, 145)(7, 165)(8, 169)(9, 168)(10, 146)(11, 174)(12, 178)(13, 147)(14, 175)(15, 182)(16, 150)(17, 184)(18, 149)(19, 181)(20, 189)(21, 193)(22, 151)(23, 190)(24, 197)(25, 154)(26, 199)(27, 153)(28, 196)(29, 187)(30, 203)(31, 163)(32, 155)(33, 185)(34, 157)(35, 205)(36, 173)(37, 158)(38, 162)(39, 206)(40, 209)(41, 179)(42, 161)(43, 207)(44, 202)(45, 210)(46, 172)(47, 164)(48, 200)(49, 166)(50, 212)(51, 188)(52, 167)(53, 171)(54, 213)(55, 216)(56, 194)(57, 170)(58, 214)(59, 176)(60, 183)(61, 177)(62, 215)(63, 180)(64, 211)(65, 186)(66, 191)(67, 198)(68, 192)(69, 208)(70, 195)(71, 204)(72, 201)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1686
Graph:: simple bipartite
	v = 60 e = 144 f = 30
	degree seq :: [ 4^36, 6^24 ]

E28.1675 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = ((C6 x C2) : C2) x S3 (small group id <144, 153>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y1 * Y2^-1 * Y1 * Y2, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y2 * Y3^2 * Y2^-1 * Y3^-1, Y3^-2 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y3^2 * Y1 * Y3^-2 * Y1, Y2^-1 * Y3 * Y2^-1 * Y1 * Y3 * Y1, (Y3 * Y1 * Y3^-1 * Y1)^2, Y3^-2 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1, Y1 * Y2 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 7, 79)(4, 76, 13, 85)(5, 77, 9, 81)(6, 78, 19, 91)(8, 80, 25, 97)(10, 82, 31, 103)(11, 83, 35, 107)(12, 84, 28, 100)(14, 86, 41, 113)(15, 87, 27, 99)(16, 88, 24, 96)(17, 89, 32, 104)(18, 90, 51, 123)(20, 92, 29, 101)(21, 93, 53, 125)(22, 94, 34, 106)(23, 95, 52, 124)(26, 98, 39, 111)(30, 102, 38, 110)(33, 105, 50, 122)(36, 108, 63, 135)(37, 109, 57, 129)(40, 112, 58, 130)(42, 114, 59, 131)(43, 115, 60, 132)(44, 116, 61, 133)(45, 117, 62, 134)(46, 118, 56, 128)(47, 119, 64, 136)(48, 120, 65, 137)(49, 121, 66, 138)(54, 126, 67, 139)(55, 127, 68, 140)(69, 141, 72, 144)(70, 142, 71, 143)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 158, 230, 160, 232)(150, 222, 164, 236, 165, 237)(152, 224, 170, 242, 172, 244)(154, 226, 176, 248, 177, 249)(155, 227, 180, 252, 182, 254)(156, 228, 169, 241, 183, 255)(157, 229, 185, 257, 168, 240)(159, 231, 181, 253, 191, 263)(161, 233, 194, 266, 175, 247)(162, 234, 196, 268, 190, 262)(163, 235, 173, 245, 197, 269)(166, 238, 184, 256, 188, 260)(167, 239, 200, 272, 195, 267)(171, 243, 201, 273, 208, 280)(174, 246, 179, 251, 207, 279)(178, 250, 202, 274, 205, 277)(186, 258, 213, 285, 206, 278)(187, 259, 209, 281, 212, 284)(189, 261, 203, 275, 216, 288)(192, 264, 199, 271, 204, 276)(193, 265, 214, 286, 211, 283)(198, 270, 210, 282, 215, 287)
	L = (1, 148)(2, 152)(3, 155)(4, 159)(5, 161)(6, 145)(7, 167)(8, 171)(9, 173)(10, 146)(11, 181)(12, 147)(13, 186)(14, 188)(15, 190)(16, 192)(17, 191)(18, 149)(19, 187)(20, 189)(21, 193)(22, 150)(23, 201)(24, 151)(25, 203)(26, 205)(27, 207)(28, 209)(29, 208)(30, 153)(31, 204)(32, 206)(33, 210)(34, 154)(35, 213)(36, 166)(37, 165)(38, 199)(39, 214)(40, 156)(41, 215)(42, 200)(43, 157)(44, 162)(45, 158)(46, 211)(47, 183)(48, 196)(49, 160)(50, 184)(51, 212)(52, 216)(53, 202)(54, 163)(55, 164)(56, 178)(57, 177)(58, 168)(59, 180)(60, 169)(61, 174)(62, 170)(63, 198)(64, 185)(65, 179)(66, 172)(67, 175)(68, 176)(69, 197)(70, 182)(71, 195)(72, 194)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1687
Graph:: simple bipartite
	v = 60 e = 144 f = 30
	degree seq :: [ 4^36, 6^24 ]

E28.1676 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x D24 (small group id <72, 28>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 145>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y3 * Y1)^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (Y2, Y1^-1), (R * Y1)^2, Y3^-1 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^2, Y2^4, Y3 * Y1^-1 * Y3^-3 * Y1^-1, Y1^-1 * Y3 * Y1^-1 * Y3^3 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 8, 80, 14, 86)(4, 76, 16, 88, 19, 91)(6, 78, 10, 82, 21, 93)(7, 79, 23, 95, 9, 81)(11, 83, 31, 103, 20, 92)(12, 84, 25, 97, 34, 106)(13, 85, 36, 108, 38, 110)(15, 87, 40, 112, 26, 98)(17, 89, 42, 114, 45, 117)(18, 90, 29, 101, 46, 118)(22, 94, 48, 120, 28, 100)(24, 96, 32, 104, 43, 115)(27, 99, 53, 125, 39, 111)(30, 102, 56, 128, 47, 119)(33, 105, 58, 130, 60, 132)(35, 107, 62, 134, 50, 122)(37, 109, 52, 124, 65, 137)(41, 113, 54, 126, 64, 136)(44, 116, 55, 127, 67, 139)(49, 121, 57, 129, 66, 138)(51, 123, 69, 141, 61, 133)(59, 131, 68, 140, 72, 144)(63, 135, 70, 142, 71, 143)(145, 217, 147, 219, 156, 228, 150, 222)(146, 218, 152, 224, 169, 241, 154, 226)(148, 220, 161, 233, 177, 249, 157, 229)(149, 221, 158, 230, 178, 250, 165, 237)(151, 223, 166, 238, 179, 251, 159, 231)(153, 225, 172, 244, 194, 266, 170, 242)(155, 227, 174, 246, 195, 267, 171, 243)(160, 232, 186, 258, 202, 274, 180, 252)(162, 234, 181, 253, 203, 275, 188, 260)(163, 235, 189, 261, 204, 276, 182, 254)(164, 236, 191, 263, 205, 277, 183, 255)(167, 239, 192, 264, 206, 278, 184, 256)(168, 240, 185, 257, 207, 279, 193, 265)(173, 245, 196, 268, 212, 284, 199, 271)(175, 247, 200, 272, 213, 285, 197, 269)(176, 248, 198, 270, 214, 286, 201, 273)(187, 259, 208, 280, 215, 287, 210, 282)(190, 262, 209, 281, 216, 288, 211, 283)
	L = (1, 148)(2, 153)(3, 157)(4, 162)(5, 164)(6, 161)(7, 145)(8, 170)(9, 173)(10, 172)(11, 146)(12, 177)(13, 181)(14, 183)(15, 147)(16, 149)(17, 188)(18, 175)(19, 176)(20, 190)(21, 191)(22, 150)(23, 187)(24, 151)(25, 194)(26, 196)(27, 152)(28, 199)(29, 163)(30, 154)(31, 168)(32, 155)(33, 203)(34, 205)(35, 156)(36, 158)(37, 197)(38, 198)(39, 209)(40, 208)(41, 159)(42, 165)(43, 160)(44, 200)(45, 201)(46, 167)(47, 211)(48, 210)(49, 166)(50, 212)(51, 169)(52, 182)(53, 185)(54, 171)(55, 189)(56, 193)(57, 174)(58, 178)(59, 213)(60, 214)(61, 216)(62, 215)(63, 179)(64, 180)(65, 184)(66, 186)(67, 192)(68, 204)(69, 207)(70, 195)(71, 202)(72, 206)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1681
Graph:: simple bipartite
	v = 42 e = 144 f = 48
	degree seq :: [ 6^24, 8^18 ]

E28.1677 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 22>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 145>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1 * Y3^-2, Y2^-1 * Y1 * Y2 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^4, (Y3^-1 * Y1^-1)^2, Y3 * Y2^-2 * Y3^-1 * Y2^-2, (Y2^-1 * R * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2 * R * Y3 * Y2^-3 * R, (Y3 * Y2)^6 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 11, 83, 8, 80)(4, 76, 9, 81, 7, 79)(6, 78, 17, 89, 10, 82)(12, 84, 22, 94, 27, 99)(13, 85, 23, 95, 14, 86)(15, 87, 20, 92, 24, 96)(16, 88, 21, 93, 25, 97)(18, 90, 26, 98, 19, 91)(28, 100, 40, 112, 29, 101)(30, 102, 32, 104, 41, 113)(31, 103, 33, 105, 42, 114)(34, 106, 38, 110, 35, 107)(36, 108, 39, 111, 37, 109)(43, 115, 47, 119, 44, 116)(45, 117, 48, 120, 46, 118)(49, 121, 51, 123, 53, 125)(50, 122, 52, 124, 54, 126)(55, 127, 57, 129, 59, 131)(56, 128, 58, 130, 60, 132)(61, 133, 65, 137, 62, 134)(63, 135, 66, 138, 64, 136)(67, 139, 71, 143, 68, 140)(69, 141, 72, 144, 70, 142)(145, 217, 147, 219, 156, 228, 150, 222)(146, 218, 152, 224, 166, 238, 154, 226)(148, 220, 159, 231, 172, 244, 160, 232)(149, 221, 155, 227, 171, 243, 161, 233)(151, 223, 164, 236, 173, 245, 165, 237)(153, 225, 168, 240, 184, 256, 169, 241)(157, 229, 174, 246, 162, 234, 175, 247)(158, 230, 176, 248, 163, 235, 177, 249)(167, 239, 185, 257, 170, 242, 186, 258)(178, 250, 193, 265, 180, 252, 194, 266)(179, 251, 195, 267, 181, 253, 196, 268)(182, 254, 197, 269, 183, 255, 198, 270)(187, 259, 199, 271, 189, 261, 200, 272)(188, 260, 201, 273, 190, 262, 202, 274)(191, 263, 203, 275, 192, 264, 204, 276)(205, 277, 214, 286, 207, 279, 212, 284)(206, 278, 213, 285, 208, 280, 211, 283)(209, 281, 216, 288, 210, 282, 215, 287)
	L = (1, 148)(2, 153)(3, 157)(4, 146)(5, 151)(6, 162)(7, 145)(8, 158)(9, 149)(10, 163)(11, 167)(12, 172)(13, 155)(14, 147)(15, 178)(16, 180)(17, 170)(18, 161)(19, 150)(20, 182)(21, 183)(22, 184)(23, 152)(24, 179)(25, 181)(26, 154)(27, 173)(28, 166)(29, 156)(30, 187)(31, 189)(32, 191)(33, 192)(34, 164)(35, 159)(36, 165)(37, 160)(38, 168)(39, 169)(40, 171)(41, 188)(42, 190)(43, 176)(44, 174)(45, 177)(46, 175)(47, 185)(48, 186)(49, 205)(50, 207)(51, 209)(52, 210)(53, 206)(54, 208)(55, 211)(56, 213)(57, 215)(58, 216)(59, 212)(60, 214)(61, 195)(62, 193)(63, 196)(64, 194)(65, 197)(66, 198)(67, 201)(68, 199)(69, 202)(70, 200)(71, 203)(72, 204)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1680
Graph:: simple bipartite
	v = 42 e = 144 f = 48
	degree seq :: [ 6^24, 8^18 ]

E28.1678 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 22>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 145>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1^3, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y2 * Y1 * Y2^-1, Y2^4, (Y3^-1 * Y1^-1)^2, Y1 * Y3^-1 * Y2 * Y3 * Y2, Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3^-2, Y3^2 * Y2 * Y3^2 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 12, 84, 8, 80)(4, 76, 16, 88, 19, 91)(6, 78, 22, 94, 10, 82)(7, 79, 25, 97, 9, 81)(11, 83, 37, 109, 21, 93)(13, 85, 29, 101, 39, 111)(14, 86, 31, 103, 20, 92)(15, 87, 45, 117, 40, 112)(17, 89, 23, 95, 36, 108)(18, 90, 33, 105, 51, 123)(24, 96, 55, 127, 56, 128)(26, 98, 32, 104, 35, 107)(27, 99, 34, 106, 30, 102)(28, 100, 38, 110, 48, 120)(41, 113, 61, 133, 44, 116)(42, 114, 60, 132, 58, 130)(43, 115, 54, 126, 59, 131)(46, 118, 66, 138, 65, 137)(47, 119, 53, 125, 62, 134)(49, 121, 63, 135, 52, 124)(50, 122, 64, 136, 57, 129)(67, 139, 70, 142, 71, 143)(68, 140, 69, 141, 72, 144)(145, 217, 147, 219, 157, 229, 150, 222)(146, 218, 152, 224, 173, 245, 154, 226)(148, 220, 161, 233, 185, 257, 164, 236)(149, 221, 156, 228, 183, 255, 166, 238)(151, 223, 170, 242, 186, 258, 171, 243)(153, 225, 176, 248, 202, 274, 178, 250)(155, 227, 168, 240, 190, 262, 159, 231)(158, 230, 163, 235, 167, 239, 188, 260)(160, 232, 180, 252, 205, 277, 175, 247)(162, 234, 191, 263, 211, 283, 196, 268)(165, 237, 199, 271, 209, 281, 189, 261)(169, 241, 179, 251, 204, 276, 174, 246)(172, 244, 187, 259, 212, 284, 201, 273)(177, 249, 206, 278, 214, 286, 207, 279)(181, 253, 200, 272, 210, 282, 184, 256)(182, 254, 203, 275, 213, 285, 208, 280)(192, 264, 198, 270, 216, 288, 194, 266)(193, 265, 195, 267, 197, 269, 215, 287)
	L = (1, 148)(2, 153)(3, 158)(4, 162)(5, 165)(6, 167)(7, 145)(8, 174)(9, 177)(10, 179)(11, 146)(12, 184)(13, 185)(14, 187)(15, 147)(16, 149)(17, 193)(18, 181)(19, 182)(20, 197)(21, 195)(22, 200)(23, 201)(24, 150)(25, 192)(26, 166)(27, 156)(28, 151)(29, 202)(30, 203)(31, 152)(32, 196)(33, 163)(34, 191)(35, 208)(36, 154)(37, 172)(38, 155)(39, 209)(40, 198)(41, 211)(42, 157)(43, 178)(44, 213)(45, 206)(46, 173)(47, 159)(48, 160)(49, 170)(50, 161)(51, 169)(52, 168)(53, 171)(54, 164)(55, 207)(56, 194)(57, 176)(58, 214)(59, 189)(60, 216)(61, 183)(62, 175)(63, 180)(64, 199)(65, 215)(66, 212)(67, 210)(68, 186)(69, 190)(70, 188)(71, 204)(72, 205)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1682
Graph:: simple bipartite
	v = 42 e = 144 f = 48
	degree seq :: [ 6^24, 8^18 ]

E28.1679 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 22>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 145>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^-1 * Y1 * Y2 * Y1, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, Y2^4, (R * Y3)^2, R * Y2 * R * Y1 * Y2^-1, Y2 * Y3^-1 * Y2 * Y1^-1 * Y3, (Y2^-1 * Y3^-1 * Y1^-1)^2, Y3^-2 * Y2 * Y3^-2 * Y2^-1, Y3 * Y1^-1 * Y3^-3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 12, 84, 8, 80)(4, 76, 16, 88, 19, 91)(6, 78, 22, 94, 10, 82)(7, 79, 25, 97, 9, 81)(11, 83, 35, 107, 21, 93)(13, 85, 29, 101, 39, 111)(14, 86, 30, 102, 37, 109)(15, 87, 27, 99, 33, 105)(17, 89, 50, 122, 47, 119)(18, 90, 32, 104, 52, 124)(20, 92, 40, 112, 48, 120)(23, 95, 34, 106, 36, 108)(24, 96, 26, 98, 31, 103)(28, 100, 38, 110, 49, 121)(41, 113, 65, 137, 66, 138)(42, 114, 45, 117, 58, 130)(43, 115, 62, 134, 54, 126)(44, 116, 59, 131, 60, 132)(46, 118, 64, 136, 57, 129)(51, 123, 55, 127, 61, 133)(53, 125, 63, 135, 56, 128)(67, 139, 72, 144, 69, 141)(68, 140, 71, 143, 70, 142)(145, 217, 147, 219, 157, 229, 150, 222)(146, 218, 152, 224, 173, 245, 154, 226)(148, 220, 161, 233, 185, 257, 164, 236)(149, 221, 156, 228, 183, 255, 166, 238)(151, 223, 170, 242, 186, 258, 171, 243)(153, 225, 175, 247, 202, 274, 177, 249)(155, 227, 180, 252, 203, 275, 181, 253)(158, 230, 165, 237, 167, 239, 188, 260)(159, 231, 169, 241, 168, 240, 189, 261)(160, 232, 191, 263, 209, 281, 192, 264)(162, 234, 190, 262, 211, 283, 197, 269)(163, 235, 194, 266, 210, 282, 184, 256)(172, 244, 187, 259, 212, 284, 199, 271)(174, 246, 179, 251, 178, 250, 204, 276)(176, 248, 201, 273, 216, 288, 200, 272)(182, 254, 198, 270, 215, 287, 195, 267)(193, 265, 206, 278, 214, 286, 205, 277)(196, 268, 208, 280, 213, 285, 207, 279)
	L = (1, 148)(2, 153)(3, 158)(4, 162)(5, 165)(6, 167)(7, 145)(8, 164)(9, 176)(10, 161)(11, 146)(12, 177)(13, 185)(14, 187)(15, 147)(16, 149)(17, 195)(18, 179)(19, 182)(20, 198)(21, 196)(22, 175)(23, 199)(24, 150)(25, 193)(26, 200)(27, 201)(28, 151)(29, 202)(30, 152)(31, 205)(32, 163)(33, 206)(34, 154)(35, 172)(36, 207)(37, 208)(38, 155)(39, 188)(40, 156)(41, 211)(42, 157)(43, 192)(44, 213)(45, 214)(46, 159)(47, 197)(48, 190)(49, 160)(50, 166)(51, 170)(52, 169)(53, 168)(54, 171)(55, 191)(56, 178)(57, 174)(58, 216)(59, 173)(60, 212)(61, 180)(62, 181)(63, 194)(64, 184)(65, 183)(66, 215)(67, 204)(68, 186)(69, 189)(70, 209)(71, 203)(72, 210)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1683
Graph:: simple bipartite
	v = 42 e = 144 f = 48
	degree seq :: [ 6^24, 8^18 ]

E28.1680 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 22>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 145>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3 * Y2 * Y3^-1 * Y2, Y3^-3 * Y2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1 * Y3^2 * Y1^-1 * Y2 * Y3^-1, (Y1^-2 * Y2)^2, Y3 * Y1^-2 * Y3^-1 * Y1^-2, Y1^6, (Y3^-1 * Y1)^4, Y1^-1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 7, 79, 23, 95, 19, 91, 5, 77)(3, 75, 11, 83, 35, 107, 53, 125, 24, 96, 13, 85)(4, 76, 15, 87, 44, 116, 55, 127, 25, 97, 16, 88)(6, 78, 21, 93, 47, 119, 56, 128, 26, 98, 22, 94)(8, 80, 27, 99, 17, 89, 45, 117, 49, 121, 29, 101)(9, 81, 31, 103, 18, 90, 46, 118, 50, 122, 32, 104)(10, 82, 33, 105, 20, 92, 48, 120, 51, 123, 34, 106)(12, 84, 30, 102, 52, 124, 69, 141, 63, 135, 39, 111)(14, 86, 28, 100, 54, 126, 68, 140, 64, 136, 43, 115)(36, 108, 57, 129, 40, 112, 60, 132, 70, 142, 65, 137)(37, 109, 59, 131, 41, 113, 62, 134, 71, 143, 66, 138)(38, 110, 58, 130, 42, 114, 61, 133, 72, 144, 67, 139)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 156, 228)(149, 221, 161, 233)(150, 222, 158, 230)(151, 223, 168, 240)(153, 225, 172, 244)(154, 226, 174, 246)(155, 227, 180, 252)(157, 229, 184, 256)(159, 231, 182, 254)(160, 232, 186, 258)(162, 234, 187, 259)(163, 235, 179, 251)(164, 236, 183, 255)(165, 237, 181, 253)(166, 238, 185, 257)(167, 239, 193, 265)(169, 241, 196, 268)(170, 242, 198, 270)(171, 243, 201, 273)(173, 245, 204, 276)(175, 247, 203, 275)(176, 248, 206, 278)(177, 249, 202, 274)(178, 250, 205, 277)(188, 260, 207, 279)(189, 261, 209, 281)(190, 262, 210, 282)(191, 263, 208, 280)(192, 264, 211, 283)(194, 266, 212, 284)(195, 267, 213, 285)(197, 269, 214, 286)(199, 271, 216, 288)(200, 272, 215, 287)
	L = (1, 148)(2, 153)(3, 156)(4, 158)(5, 162)(6, 145)(7, 169)(8, 172)(9, 174)(10, 146)(11, 181)(12, 150)(13, 185)(14, 147)(15, 180)(16, 184)(17, 187)(18, 183)(19, 188)(20, 149)(21, 182)(22, 186)(23, 194)(24, 196)(25, 198)(26, 151)(27, 202)(28, 154)(29, 205)(30, 152)(31, 201)(32, 204)(33, 203)(34, 206)(35, 207)(36, 165)(37, 159)(38, 155)(39, 161)(40, 166)(41, 160)(42, 157)(43, 164)(44, 208)(45, 211)(46, 209)(47, 163)(48, 210)(49, 212)(50, 213)(51, 167)(52, 170)(53, 215)(54, 168)(55, 214)(56, 216)(57, 177)(58, 175)(59, 171)(60, 178)(61, 176)(62, 173)(63, 191)(64, 179)(65, 192)(66, 189)(67, 190)(68, 195)(69, 193)(70, 200)(71, 199)(72, 197)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.1677
Graph:: simple bipartite
	v = 48 e = 144 f = 42
	degree seq :: [ 4^36, 12^12 ]

E28.1681 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x D24 (small group id <72, 28>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 145>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^-2 * Y1^-2, (R * Y1)^2, (R * Y3)^2, (Y2 * Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y3^-2 * Y2 * Y3, Y3^-1 * Y1^4 * Y3^-1, (Y1^-1 * Y3^-1 * Y2)^2, Y3 * Y2 * Y1 * Y3^-1 * Y2 * Y1^-1, (Y3 * Y2)^3, Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1, (Y3 * Y1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 7, 79, 23, 95, 17, 89, 5, 77)(3, 75, 11, 83, 24, 96, 51, 123, 39, 111, 13, 85)(4, 76, 15, 87, 6, 78, 21, 93, 25, 97, 18, 90)(8, 80, 26, 98, 50, 122, 49, 121, 19, 91, 28, 100)(9, 81, 30, 102, 10, 82, 33, 105, 20, 92, 32, 104)(12, 84, 31, 103, 14, 86, 34, 106, 52, 124, 40, 112)(16, 88, 27, 99, 22, 94, 29, 101, 53, 125, 46, 118)(35, 107, 59, 131, 69, 141, 55, 127, 41, 113, 56, 128)(36, 108, 67, 139, 37, 109, 58, 130, 42, 114, 54, 126)(38, 110, 65, 137, 43, 115, 66, 138, 47, 119, 68, 140)(44, 116, 61, 133, 45, 117, 62, 134, 48, 120, 64, 136)(57, 129, 70, 142, 60, 132, 71, 143, 63, 135, 72, 144)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 160, 232)(149, 221, 163, 235)(150, 222, 166, 238)(151, 223, 168, 240)(153, 225, 175, 247)(154, 226, 178, 250)(155, 227, 179, 251)(156, 228, 182, 254)(157, 229, 185, 257)(158, 230, 187, 259)(159, 231, 180, 252)(161, 233, 183, 255)(162, 234, 186, 258)(164, 236, 184, 256)(165, 237, 181, 253)(167, 239, 194, 266)(169, 241, 197, 269)(170, 242, 198, 270)(171, 243, 201, 273)(172, 244, 202, 274)(173, 245, 204, 276)(174, 246, 199, 271)(176, 248, 203, 275)(177, 249, 200, 272)(188, 260, 210, 282)(189, 261, 212, 284)(190, 262, 207, 279)(191, 263, 196, 268)(192, 264, 209, 281)(193, 265, 211, 283)(195, 267, 213, 285)(205, 277, 215, 287)(206, 278, 216, 288)(208, 280, 214, 286)
	L = (1, 148)(2, 153)(3, 156)(4, 161)(5, 164)(6, 145)(7, 150)(8, 171)(9, 149)(10, 146)(11, 180)(12, 183)(13, 186)(14, 147)(15, 188)(16, 187)(17, 169)(18, 192)(19, 190)(20, 167)(21, 189)(22, 191)(23, 154)(24, 158)(25, 151)(26, 199)(27, 163)(28, 203)(29, 152)(30, 205)(31, 204)(32, 208)(33, 206)(34, 207)(35, 209)(36, 157)(37, 155)(38, 166)(39, 196)(40, 201)(41, 212)(42, 195)(43, 197)(44, 162)(45, 159)(46, 194)(47, 160)(48, 165)(49, 200)(50, 173)(51, 181)(52, 168)(53, 182)(54, 214)(55, 172)(56, 170)(57, 178)(58, 216)(59, 193)(60, 184)(61, 176)(62, 174)(63, 175)(64, 177)(65, 185)(66, 179)(67, 215)(68, 213)(69, 210)(70, 202)(71, 198)(72, 211)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.1676
Graph:: simple bipartite
	v = 48 e = 144 f = 42
	degree seq :: [ 4^36, 12^12 ]

E28.1682 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 22>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 145>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y2 * Y3^-1 * Y1^2 * Y2, Y3 * Y1^-2 * Y2 * Y3^2, (R * Y2 * Y3^-1)^2, Y1^6, (Y2 * Y1^-2)^2, Y3^2 * Y1 * Y3^2 * Y1^-1, Y2 * Y3 * Y1^-1 * Y3^-2 * Y1^-1, Y1^-2 * Y3^-1 * Y2 * Y3 * Y2, (Y3 * Y2)^3, Y2 * Y3^-3 * Y1^-2, Y1^-1 * Y3^-2 * Y2 * Y3^-1 * Y1^-1, Y2 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y1^-1, Y1 * Y3^-1 * Y1^2 * Y3 * Y1, Y2 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1^-1, Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 7, 79, 27, 99, 21, 93, 5, 77)(3, 75, 11, 83, 43, 115, 60, 132, 28, 100, 13, 85)(4, 76, 15, 87, 47, 119, 61, 133, 29, 101, 18, 90)(6, 78, 23, 95, 51, 123, 62, 134, 30, 102, 25, 97)(8, 80, 31, 103, 19, 91, 54, 126, 57, 129, 33, 105)(9, 81, 35, 107, 20, 92, 55, 127, 58, 130, 38, 110)(10, 82, 39, 111, 22, 94, 56, 128, 59, 131, 41, 113)(12, 84, 34, 106, 16, 88, 40, 112, 26, 98, 37, 109)(14, 86, 32, 104, 24, 96, 36, 108, 17, 89, 42, 114)(44, 116, 63, 135, 48, 120, 66, 138, 72, 144, 71, 143)(45, 117, 65, 137, 49, 121, 68, 140, 52, 124, 70, 142)(46, 118, 64, 136, 50, 122, 67, 139, 53, 125, 69, 141)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 160, 232)(149, 221, 163, 235)(150, 222, 168, 240)(151, 223, 172, 244)(153, 225, 180, 252)(154, 226, 184, 256)(155, 227, 188, 260)(156, 228, 191, 263)(157, 229, 192, 264)(158, 230, 195, 267)(159, 231, 194, 266)(161, 233, 174, 246)(162, 234, 197, 269)(164, 236, 176, 248)(165, 237, 187, 259)(166, 238, 178, 250)(167, 239, 193, 265)(169, 241, 196, 268)(170, 242, 173, 245)(171, 243, 201, 273)(175, 247, 207, 279)(177, 249, 210, 282)(179, 251, 212, 284)(181, 253, 203, 275)(182, 254, 214, 286)(183, 255, 211, 283)(185, 257, 213, 285)(186, 258, 202, 274)(189, 261, 206, 278)(190, 262, 205, 277)(198, 270, 215, 287)(199, 271, 209, 281)(200, 272, 208, 280)(204, 276, 216, 288)
	L = (1, 148)(2, 153)(3, 156)(4, 161)(5, 164)(6, 145)(7, 173)(8, 176)(9, 181)(10, 146)(11, 189)(12, 174)(13, 193)(14, 147)(15, 188)(16, 195)(17, 187)(18, 192)(19, 186)(20, 184)(21, 191)(22, 149)(23, 197)(24, 172)(25, 190)(26, 150)(27, 202)(28, 160)(29, 158)(30, 151)(31, 208)(32, 203)(33, 211)(34, 152)(35, 207)(36, 166)(37, 163)(38, 210)(39, 214)(40, 201)(41, 209)(42, 154)(43, 170)(44, 167)(45, 162)(46, 155)(47, 168)(48, 169)(49, 205)(50, 157)(51, 165)(52, 159)(53, 204)(54, 213)(55, 215)(56, 212)(57, 180)(58, 178)(59, 171)(60, 196)(61, 216)(62, 194)(63, 183)(64, 182)(65, 175)(66, 185)(67, 199)(68, 177)(69, 179)(70, 198)(71, 200)(72, 206)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.1678
Graph:: simple bipartite
	v = 48 e = 144 f = 42
	degree seq :: [ 4^36, 12^12 ]

E28.1683 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 22>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 145>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y3^-1 * Y1 * Y3^2 * Y1, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y1^-1, Y3 * Y1 * Y3^-2 * Y1 * Y2, Y1^-1 * Y3^-3 * Y2 * Y1^-1, Y3^-1 * Y2 * Y3^-2 * Y1^-2, Y2 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y1^-1, Y3^-2 * Y1 * Y3^-2 * Y1^-1, Y3^6, Y3 * Y2 * Y3^2 * Y1^-2, Y3^3 * Y2 * Y1^-2, (Y2 * Y3 * Y1^-1)^2, Y3^2 * Y2 * Y3^-2 * Y2, Y1^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y1^-1, (Y3 * Y2)^3, Y1^6, (Y2 * Y3^-1 * Y1^-1)^2, Y3 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1, (Y3 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 7, 79, 27, 99, 21, 93, 5, 77)(3, 75, 11, 83, 43, 115, 60, 132, 28, 100, 13, 85)(4, 76, 15, 87, 51, 123, 61, 133, 29, 101, 18, 90)(6, 78, 23, 95, 47, 119, 62, 134, 30, 102, 25, 97)(8, 80, 31, 103, 19, 91, 54, 126, 57, 129, 33, 105)(9, 81, 35, 107, 20, 92, 55, 127, 58, 130, 38, 110)(10, 82, 39, 111, 22, 94, 56, 128, 59, 131, 41, 113)(12, 84, 34, 106, 26, 98, 37, 109, 16, 88, 40, 112)(14, 86, 32, 104, 17, 89, 42, 114, 24, 96, 36, 108)(44, 116, 63, 135, 48, 120, 66, 138, 72, 144, 71, 143)(45, 117, 65, 137, 49, 121, 68, 140, 53, 125, 69, 141)(46, 118, 64, 136, 50, 122, 67, 139, 52, 124, 70, 142)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 160, 232)(149, 221, 163, 235)(150, 222, 168, 240)(151, 223, 172, 244)(153, 225, 180, 252)(154, 226, 184, 256)(155, 227, 188, 260)(156, 228, 173, 245)(157, 229, 192, 264)(158, 230, 174, 246)(159, 231, 196, 268)(161, 233, 191, 263)(162, 234, 190, 262)(164, 236, 186, 258)(165, 237, 187, 259)(166, 238, 181, 253)(167, 239, 197, 269)(169, 241, 189, 261)(170, 242, 195, 267)(171, 243, 201, 273)(175, 247, 207, 279)(176, 248, 202, 274)(177, 249, 210, 282)(178, 250, 203, 275)(179, 251, 213, 285)(182, 254, 209, 281)(183, 255, 214, 286)(185, 257, 208, 280)(193, 265, 206, 278)(194, 266, 205, 277)(198, 270, 215, 287)(199, 271, 212, 284)(200, 272, 211, 283)(204, 276, 216, 288)
	L = (1, 148)(2, 153)(3, 156)(4, 161)(5, 164)(6, 145)(7, 173)(8, 176)(9, 181)(10, 146)(11, 189)(12, 191)(13, 193)(14, 147)(15, 188)(16, 174)(17, 172)(18, 192)(19, 180)(20, 178)(21, 195)(22, 149)(23, 194)(24, 187)(25, 196)(26, 150)(27, 202)(28, 170)(29, 168)(30, 151)(31, 208)(32, 166)(33, 211)(34, 152)(35, 207)(36, 203)(37, 201)(38, 210)(39, 212)(40, 163)(41, 213)(42, 154)(43, 160)(44, 167)(45, 205)(46, 155)(47, 165)(48, 169)(49, 159)(50, 157)(51, 158)(52, 204)(53, 162)(54, 214)(55, 215)(56, 209)(57, 186)(58, 184)(59, 171)(60, 197)(61, 216)(62, 190)(63, 183)(64, 199)(65, 175)(66, 185)(67, 179)(68, 177)(69, 198)(70, 182)(71, 200)(72, 206)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.1679
Graph:: simple bipartite
	v = 48 e = 144 f = 42
	degree seq :: [ 4^36, 12^12 ]

E28.1684 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 22>)
Aut   = ((C6 x C2) : C2) x S3 (small group id <144, 153>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-2 * Y3^-1, (Y3 * Y2^-1)^2, Y1^4, (R * Y1)^2, (Y2^-1 * Y3^-1)^2, (R * Y3)^2, Y3^2 * Y1^-2, Y1 * Y2^-1 * Y1^-1 * Y3^-1 * Y1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y2^-1, Y2^-1 * Y3^-1 * Y1^-1 * Y3 * Y2^-1 * Y1^-1, Y1^-1 * R * Y2 * R * Y2^-1 * Y1^-1, Y2^-2 * Y1 * Y2^-2 * Y1^-1, Y2^6, Y2^2 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y1^-1 * Y2^-2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 8, 80, 5, 77)(3, 75, 13, 85, 27, 99, 16, 88)(4, 76, 18, 90, 7, 79, 20, 92)(6, 78, 23, 95, 28, 100, 25, 97)(9, 81, 29, 101, 21, 93, 32, 104)(10, 82, 34, 106, 12, 84, 36, 108)(11, 83, 37, 109, 22, 94, 39, 111)(14, 86, 40, 112, 52, 124, 44, 116)(15, 87, 35, 107, 17, 89, 38, 110)(19, 91, 31, 103, 24, 96, 33, 105)(26, 98, 30, 102, 53, 125, 48, 120)(41, 113, 59, 131, 46, 118, 61, 133)(42, 114, 63, 135, 68, 140, 65, 137)(43, 115, 60, 132, 45, 117, 62, 134)(47, 119, 54, 126, 50, 122, 58, 130)(49, 121, 56, 128, 51, 123, 57, 129)(55, 127, 69, 141, 67, 139, 71, 143)(64, 136, 72, 144, 66, 138, 70, 142)(145, 217, 147, 219, 158, 230, 186, 258, 170, 242, 150, 222)(146, 218, 153, 225, 174, 246, 199, 271, 184, 256, 155, 227)(148, 220, 163, 235, 191, 263, 210, 282, 187, 259, 161, 233)(149, 221, 165, 237, 192, 264, 211, 283, 188, 260, 166, 238)(151, 223, 168, 240, 194, 266, 208, 280, 189, 261, 159, 231)(152, 224, 171, 243, 196, 268, 212, 284, 197, 269, 172, 244)(154, 226, 179, 251, 203, 275, 216, 288, 200, 272, 177, 249)(156, 228, 182, 254, 205, 277, 214, 286, 201, 273, 175, 247)(157, 229, 180, 252, 167, 239, 193, 265, 207, 279, 185, 257)(160, 232, 178, 250, 169, 241, 195, 267, 209, 281, 190, 262)(162, 234, 181, 253, 204, 276, 213, 285, 198, 270, 173, 245)(164, 236, 183, 255, 206, 278, 215, 287, 202, 274, 176, 248)
	L = (1, 148)(2, 154)(3, 159)(4, 152)(5, 156)(6, 168)(7, 145)(8, 151)(9, 175)(10, 149)(11, 182)(12, 146)(13, 181)(14, 187)(15, 171)(16, 183)(17, 147)(18, 180)(19, 150)(20, 178)(21, 177)(22, 179)(23, 173)(24, 172)(25, 176)(26, 191)(27, 161)(28, 163)(29, 169)(30, 200)(31, 165)(32, 167)(33, 153)(34, 162)(35, 155)(36, 164)(37, 160)(38, 166)(39, 157)(40, 203)(41, 206)(42, 208)(43, 196)(44, 205)(45, 158)(46, 204)(47, 197)(48, 201)(49, 202)(50, 170)(51, 198)(52, 189)(53, 194)(54, 193)(55, 214)(56, 192)(57, 174)(58, 195)(59, 188)(60, 185)(61, 184)(62, 190)(63, 213)(64, 212)(65, 215)(66, 186)(67, 216)(68, 210)(69, 209)(70, 211)(71, 207)(72, 199)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.1672
Graph:: simple bipartite
	v = 30 e = 144 f = 60
	degree seq :: [ 8^18, 12^12 ]

E28.1685 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 22>)
Aut   = ((C6 x C2) : C2) x S3 (small group id <144, 153>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1 * Y3^-1)^2, Y3^2 * Y1^2, Y1^-1 * Y3^2 * Y1^-1, (R * Y1)^2, (Y3 * Y2^-1)^2, Y3^4, (R * Y3)^2, Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y2^-2 * Y1 * Y2^-2 * Y1^-1, Y3 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y2, Y2^6, (Y2^-1 * Y1^-1 * Y3)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y1 * Y2 * Y3^-1 * Y1^-1, Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y3 * Y2^2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 8, 80, 5, 77)(3, 75, 13, 85, 27, 99, 16, 88)(4, 76, 18, 90, 7, 79, 20, 92)(6, 78, 23, 95, 28, 100, 25, 97)(9, 81, 29, 101, 21, 93, 32, 104)(10, 82, 34, 106, 12, 84, 36, 108)(11, 83, 37, 109, 22, 94, 39, 111)(14, 86, 40, 112, 56, 128, 45, 117)(15, 87, 33, 105, 17, 89, 31, 103)(19, 91, 50, 122, 24, 96, 52, 124)(26, 98, 30, 102, 57, 129, 54, 126)(35, 107, 66, 138, 38, 110, 68, 140)(41, 113, 67, 139, 47, 119, 70, 142)(42, 114, 61, 133, 48, 120, 62, 134)(43, 115, 69, 141, 72, 144, 65, 137)(44, 116, 59, 131, 46, 118, 64, 136)(49, 121, 71, 143, 53, 125, 60, 132)(51, 123, 58, 130, 55, 127, 63, 135)(145, 217, 147, 219, 158, 230, 187, 259, 170, 242, 150, 222)(146, 218, 153, 225, 174, 246, 204, 276, 184, 256, 155, 227)(148, 220, 163, 235, 195, 267, 210, 282, 188, 260, 161, 233)(149, 221, 165, 237, 198, 270, 215, 287, 189, 261, 166, 238)(151, 223, 168, 240, 199, 271, 212, 284, 190, 262, 159, 231)(152, 224, 171, 243, 200, 272, 216, 288, 201, 273, 172, 244)(154, 226, 179, 251, 211, 283, 196, 268, 205, 277, 177, 249)(156, 228, 182, 254, 214, 286, 194, 266, 206, 278, 175, 247)(157, 229, 185, 257, 167, 239, 180, 252, 213, 285, 186, 258)(160, 232, 191, 263, 169, 241, 178, 250, 209, 281, 192, 264)(162, 234, 193, 265, 203, 275, 173, 245, 202, 274, 181, 253)(164, 236, 197, 269, 208, 280, 176, 248, 207, 279, 183, 255)
	L = (1, 148)(2, 154)(3, 159)(4, 152)(5, 156)(6, 168)(7, 145)(8, 151)(9, 175)(10, 149)(11, 182)(12, 146)(13, 173)(14, 188)(15, 171)(16, 176)(17, 147)(18, 180)(19, 150)(20, 178)(21, 177)(22, 179)(23, 193)(24, 172)(25, 197)(26, 195)(27, 161)(28, 163)(29, 160)(30, 205)(31, 165)(32, 157)(33, 153)(34, 162)(35, 155)(36, 164)(37, 209)(38, 166)(39, 213)(40, 211)(41, 208)(42, 207)(43, 212)(44, 200)(45, 214)(46, 158)(47, 203)(48, 202)(49, 169)(50, 215)(51, 201)(52, 204)(53, 167)(54, 206)(55, 170)(56, 190)(57, 199)(58, 186)(59, 185)(60, 194)(61, 198)(62, 174)(63, 192)(64, 191)(65, 183)(66, 187)(67, 189)(68, 216)(69, 181)(70, 184)(71, 196)(72, 210)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.1673
Graph:: simple bipartite
	v = 30 e = 144 f = 60
	degree seq :: [ 8^18, 12^12 ]

E28.1686 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 22>)
Aut   = ((C6 x C2) : C2) x S3 (small group id <144, 153>)
|r| :: 2
Presentation :: [ R^2, Y3^4, Y3^-1 * Y1^-2 * Y3^-1, (R * Y3)^2, Y3^-1 * Y1^2 * Y3^-1, (Y2^-1 * Y3^-1)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y3, Y1 * Y2^-1 * Y1 * Y3^-1 * Y1^-1 * Y2, Y1^-1 * Y2^-1 * Y3^2 * Y2 * Y1^-1, Y2 * Y1^-1 * Y2^-1 * Y3 * Y1^-1 * Y3^-1, Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^-1 * Y2^-1 * Y3 * Y1 * Y2^-1, Y2^6, Y2^2 * Y1 * Y2^2 * Y1^-1, Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 8, 80, 5, 77)(3, 75, 13, 85, 27, 99, 16, 88)(4, 76, 18, 90, 7, 79, 20, 92)(6, 78, 23, 95, 28, 100, 25, 97)(9, 81, 29, 101, 21, 93, 32, 104)(10, 82, 34, 106, 12, 84, 36, 108)(11, 83, 37, 109, 22, 94, 39, 111)(14, 86, 40, 112, 56, 128, 46, 118)(15, 87, 48, 120, 17, 89, 49, 121)(19, 91, 38, 110, 24, 96, 35, 107)(26, 98, 30, 102, 57, 129, 52, 124)(31, 103, 64, 136, 33, 105, 65, 137)(41, 113, 62, 134, 50, 122, 63, 135)(42, 114, 71, 143, 43, 115, 61, 133)(44, 116, 60, 132, 72, 144, 59, 131)(45, 117, 58, 130, 47, 119, 66, 138)(51, 123, 68, 140, 54, 126, 70, 142)(53, 125, 67, 139, 55, 127, 69, 141)(145, 217, 147, 219, 158, 230, 188, 260, 170, 242, 150, 222)(146, 218, 153, 225, 174, 246, 205, 277, 184, 256, 155, 227)(148, 220, 163, 235, 195, 267, 209, 281, 189, 261, 161, 233)(149, 221, 165, 237, 196, 268, 215, 287, 190, 262, 166, 238)(151, 223, 168, 240, 198, 270, 208, 280, 191, 263, 159, 231)(152, 224, 171, 243, 200, 272, 216, 288, 201, 273, 172, 244)(154, 226, 179, 251, 211, 283, 192, 264, 206, 278, 177, 249)(156, 228, 182, 254, 213, 285, 193, 265, 207, 279, 175, 247)(157, 229, 185, 257, 167, 239, 197, 269, 204, 276, 180, 252)(160, 232, 194, 266, 169, 241, 199, 271, 203, 275, 178, 250)(162, 234, 173, 245, 202, 274, 181, 253, 212, 284, 186, 258)(164, 236, 176, 248, 210, 282, 183, 255, 214, 286, 187, 259)
	L = (1, 148)(2, 154)(3, 159)(4, 152)(5, 156)(6, 168)(7, 145)(8, 151)(9, 175)(10, 149)(11, 182)(12, 146)(13, 186)(14, 189)(15, 171)(16, 187)(17, 147)(18, 180)(19, 150)(20, 178)(21, 177)(22, 179)(23, 181)(24, 172)(25, 183)(26, 195)(27, 161)(28, 163)(29, 203)(30, 206)(31, 165)(32, 204)(33, 153)(34, 162)(35, 155)(36, 164)(37, 169)(38, 166)(39, 167)(40, 211)(41, 214)(42, 160)(43, 157)(44, 208)(45, 200)(46, 213)(47, 158)(48, 205)(49, 215)(50, 212)(51, 201)(52, 207)(53, 210)(54, 170)(55, 202)(56, 191)(57, 198)(58, 197)(59, 176)(60, 173)(61, 193)(62, 196)(63, 174)(64, 216)(65, 188)(66, 199)(67, 190)(68, 185)(69, 184)(70, 194)(71, 192)(72, 209)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.1674
Graph:: simple bipartite
	v = 30 e = 144 f = 60
	degree seq :: [ 8^18, 12^12 ]

E28.1687 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = ((C6 x C2) : C2) x S3 (small group id <144, 153>)
|r| :: 2
Presentation :: [ R^2, Y1^4, (R * Y3)^2, (Y2 * Y3^-1)^2, (R * Y1)^2, (Y3 * Y2^-1 * Y1^-1)^2, Y2 * Y1^-2 * Y2^-1 * Y1^-2, Y2 * Y3 * Y2^-1 * Y3^-1 * Y1^-2, Y3 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y2, Y2^-1 * Y1^-1 * Y2^2 * Y1 * Y2^-1, Y3 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y1, Y3^-1 * Y1^-2 * Y3 * Y1^-2, (R * Y2 * Y3^-1)^2, Y2 * R * Y2 * R * Y1^2, Y3 * Y1^-2 * Y2 * Y3^-1 * Y2^-1, Y2 * Y3 * Y1 * Y2^-1 * Y3^-1 * Y1^-1, Y3 * Y1^2 * Y3 * Y2^-2, Y1^-1 * Y2^-1 * Y3^-1 * Y1 * Y2 * Y3, Y2 * Y1 * Y2 * Y1^-1 * Y3 * Y1^-1, Y2^6, Y1^-1 * Y3^-2 * Y1^-1 * Y2^2, Y2^-1 * Y3^-4 * Y2^-1, Y3 * Y1^2 * Y2^-1 * Y3^-1 * Y2, (Y3^-1 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 8, 80, 5, 77)(3, 75, 13, 85, 35, 107, 16, 88)(4, 76, 18, 90, 36, 108, 21, 93)(6, 78, 26, 98, 37, 109, 28, 100)(7, 79, 31, 103, 38, 110, 32, 104)(9, 81, 39, 111, 22, 94, 42, 114)(10, 82, 44, 116, 23, 95, 47, 119)(11, 83, 48, 120, 24, 96, 50, 122)(12, 84, 53, 125, 25, 97, 54, 126)(14, 86, 40, 112, 20, 92, 46, 118)(15, 87, 45, 117, 19, 91, 41, 113)(17, 89, 49, 121, 27, 99, 43, 115)(29, 101, 51, 123, 34, 106, 56, 128)(30, 102, 55, 127, 33, 105, 52, 124)(57, 129, 68, 140, 63, 135, 69, 141)(58, 130, 67, 139, 64, 136, 70, 142)(59, 131, 66, 138, 62, 134, 72, 144)(60, 132, 65, 137, 61, 133, 71, 143)(145, 217, 147, 219, 158, 230, 203, 275, 173, 245, 150, 222)(146, 218, 153, 225, 184, 256, 211, 283, 195, 267, 155, 227)(148, 220, 163, 235, 204, 276, 174, 246, 182, 254, 161, 233)(149, 221, 166, 238, 190, 262, 214, 286, 200, 272, 168, 240)(151, 223, 171, 243, 180, 252, 159, 231, 205, 277, 177, 249)(152, 224, 179, 251, 164, 236, 206, 278, 178, 250, 181, 253)(154, 226, 189, 261, 212, 284, 196, 268, 169, 241, 187, 259)(156, 228, 193, 265, 167, 239, 185, 257, 213, 285, 199, 271)(157, 229, 197, 269, 210, 282, 191, 263, 170, 242, 201, 273)(160, 232, 198, 270, 216, 288, 188, 260, 172, 244, 207, 279)(162, 234, 192, 264, 209, 281, 183, 255, 176, 248, 208, 280)(165, 237, 194, 266, 215, 287, 186, 258, 175, 247, 202, 274)
	L = (1, 148)(2, 154)(3, 159)(4, 164)(5, 167)(6, 171)(7, 145)(8, 180)(9, 185)(10, 190)(11, 193)(12, 146)(13, 192)(14, 204)(15, 206)(16, 194)(17, 147)(18, 197)(19, 203)(20, 205)(21, 198)(22, 189)(23, 184)(24, 187)(25, 149)(26, 208)(27, 179)(28, 202)(29, 182)(30, 150)(31, 207)(32, 201)(33, 181)(34, 151)(35, 163)(36, 158)(37, 161)(38, 152)(39, 172)(40, 212)(41, 214)(42, 170)(43, 153)(44, 176)(45, 211)(46, 213)(47, 175)(48, 216)(49, 166)(50, 210)(51, 169)(52, 155)(53, 215)(54, 209)(55, 168)(56, 156)(57, 165)(58, 157)(59, 177)(60, 178)(61, 173)(62, 174)(63, 162)(64, 160)(65, 191)(66, 183)(67, 199)(68, 200)(69, 195)(70, 196)(71, 188)(72, 186)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.1675
Graph:: simple bipartite
	v = 30 e = 144 f = 60
	degree seq :: [ 8^18, 12^12 ]

E28.1688 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 22>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 145>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-2 * Y2^2, Y2^2 * Y3^2, Y2^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y2^-1, Y3^-1 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y2^-1 * Y1 * Y2^-1, Y3^-1 * Y1 * Y2^-2 * Y1 * Y3^-1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 15, 87)(5, 77, 18, 90)(6, 78, 19, 91)(7, 79, 20, 92)(8, 80, 24, 96)(9, 81, 27, 99)(10, 82, 28, 100)(12, 84, 21, 93)(13, 85, 22, 94)(14, 86, 23, 95)(16, 88, 25, 97)(17, 89, 26, 98)(29, 101, 45, 117)(30, 102, 46, 118)(31, 103, 49, 121)(32, 104, 50, 122)(33, 105, 47, 119)(34, 106, 48, 120)(35, 107, 51, 123)(36, 108, 52, 124)(37, 109, 53, 125)(38, 110, 54, 126)(39, 111, 57, 129)(40, 112, 58, 130)(41, 113, 55, 127)(42, 114, 56, 128)(43, 115, 59, 131)(44, 116, 60, 132)(61, 133, 69, 141)(62, 134, 70, 142)(63, 135, 67, 139)(64, 136, 68, 140)(65, 137, 72, 144)(66, 138, 71, 143)(145, 217, 147, 219, 156, 228, 149, 221)(146, 218, 151, 223, 165, 237, 153, 225)(148, 220, 160, 232, 150, 222, 161, 233)(152, 224, 169, 241, 154, 226, 170, 242)(155, 227, 173, 245, 162, 234, 175, 247)(157, 229, 177, 249, 158, 230, 178, 250)(159, 231, 179, 251, 163, 235, 180, 252)(164, 236, 181, 253, 171, 243, 183, 255)(166, 238, 185, 257, 167, 239, 186, 258)(168, 240, 187, 259, 172, 244, 188, 260)(174, 246, 191, 263, 176, 248, 192, 264)(182, 254, 199, 271, 184, 256, 200, 272)(189, 261, 205, 277, 193, 265, 207, 279)(190, 262, 209, 281, 194, 266, 210, 282)(195, 267, 206, 278, 196, 268, 208, 280)(197, 269, 211, 283, 201, 273, 213, 285)(198, 270, 215, 287, 202, 274, 216, 288)(203, 275, 212, 284, 204, 276, 214, 286)
	L = (1, 148)(2, 152)(3, 157)(4, 156)(5, 158)(6, 145)(7, 166)(8, 165)(9, 167)(10, 146)(11, 174)(12, 150)(13, 149)(14, 147)(15, 173)(16, 177)(17, 178)(18, 176)(19, 175)(20, 182)(21, 154)(22, 153)(23, 151)(24, 181)(25, 185)(26, 186)(27, 184)(28, 183)(29, 163)(30, 162)(31, 159)(32, 155)(33, 161)(34, 160)(35, 191)(36, 192)(37, 172)(38, 171)(39, 168)(40, 164)(41, 170)(42, 169)(43, 199)(44, 200)(45, 206)(46, 205)(47, 180)(48, 179)(49, 208)(50, 207)(51, 209)(52, 210)(53, 212)(54, 211)(55, 188)(56, 187)(57, 214)(58, 213)(59, 215)(60, 216)(61, 194)(62, 193)(63, 190)(64, 189)(65, 196)(66, 195)(67, 202)(68, 201)(69, 198)(70, 197)(71, 204)(72, 203)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1691
Graph:: simple bipartite
	v = 54 e = 144 f = 36
	degree seq :: [ 4^36, 8^18 ]

E28.1689 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = ((C6 x C2) : C2) x S3 (small group id <144, 153>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y2 * Y1 * Y3 * Y2^-1 * Y1, Y2^-1 * Y3^-1 * Y1 * Y2 * Y3 * Y1, Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y2, Y3^-1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y1, Y3 * Y1 * Y3^-1 * Y2^2 * Y1, Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y2^-2 * Y3^-1 * Y1 * Y3 * Y1, Y3^2 * Y1 * Y3^-2 * Y1, Y2^-1 * Y3^-1 * Y2^2 * Y3 * Y2^-1, (R * Y2 * Y3^-1)^2, Y3^2 * Y2 * Y3^-2 * Y2^-1, (Y3 * Y2^-1)^3, (Y3^2 * Y1 * Y3)^2, Y3^-2 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 15, 87)(5, 77, 19, 91)(6, 78, 22, 94)(7, 79, 26, 98)(8, 80, 30, 102)(9, 81, 34, 106)(10, 82, 37, 109)(12, 84, 27, 99)(13, 85, 31, 103)(14, 86, 38, 110)(16, 88, 28, 100)(17, 89, 32, 104)(18, 90, 35, 107)(20, 92, 33, 105)(21, 93, 39, 111)(23, 95, 29, 101)(24, 96, 36, 108)(25, 97, 40, 112)(41, 113, 69, 141)(42, 114, 70, 142)(43, 115, 66, 138)(44, 116, 60, 132)(45, 117, 62, 134)(46, 118, 58, 130)(47, 119, 65, 137)(48, 120, 59, 131)(49, 121, 63, 135)(50, 122, 68, 140)(51, 123, 61, 133)(52, 124, 57, 129)(53, 125, 67, 139)(54, 126, 64, 136)(55, 127, 71, 143)(56, 128, 72, 144)(145, 217, 147, 219, 156, 228, 149, 221)(146, 218, 151, 223, 171, 243, 153, 225)(148, 220, 160, 232, 174, 246, 162, 234)(150, 222, 167, 239, 181, 253, 168, 240)(152, 224, 175, 247, 159, 231, 177, 249)(154, 226, 182, 254, 166, 238, 183, 255)(155, 227, 185, 257, 163, 235, 186, 258)(157, 229, 187, 259, 164, 236, 189, 261)(158, 230, 190, 262, 165, 237, 191, 263)(161, 233, 188, 260, 207, 279, 195, 267)(169, 241, 192, 264, 211, 283, 196, 268)(170, 242, 199, 271, 178, 250, 200, 272)(172, 244, 201, 273, 179, 251, 203, 275)(173, 245, 204, 276, 180, 252, 205, 277)(176, 248, 202, 274, 193, 265, 209, 281)(184, 256, 206, 278, 197, 269, 210, 282)(194, 266, 213, 285, 198, 270, 214, 286)(208, 280, 215, 287, 212, 284, 216, 288)
	L = (1, 148)(2, 152)(3, 157)(4, 161)(5, 164)(6, 145)(7, 172)(8, 176)(9, 179)(10, 146)(11, 177)(12, 174)(13, 188)(14, 147)(15, 193)(16, 191)(17, 194)(18, 190)(19, 175)(20, 195)(21, 149)(22, 171)(23, 178)(24, 170)(25, 150)(26, 162)(27, 159)(28, 202)(29, 151)(30, 207)(31, 205)(32, 208)(33, 204)(34, 160)(35, 209)(36, 153)(37, 156)(38, 163)(39, 155)(40, 154)(41, 210)(42, 206)(43, 167)(44, 199)(45, 168)(46, 214)(47, 213)(48, 158)(49, 212)(50, 211)(51, 200)(52, 165)(53, 166)(54, 169)(55, 196)(56, 192)(57, 182)(58, 185)(59, 183)(60, 216)(61, 215)(62, 173)(63, 198)(64, 197)(65, 186)(66, 180)(67, 181)(68, 184)(69, 189)(70, 187)(71, 203)(72, 201)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1693
Graph:: simple bipartite
	v = 54 e = 144 f = 36
	degree seq :: [ 4^36, 8^18 ]

E28.1690 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x C6) : C2 (small group id <72, 35>)
Aut   = ((C6 x C2) : C2) x S3 (small group id <144, 153>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, Y3^2 * Y2^2, (R * Y3)^2, Y2^-1 * Y3^2 * Y2^-1, (R * Y1)^2, Y3^-1 * Y1 * Y2^-2 * Y1 * Y3^-1, (Y3^-1 * Y2)^3, (Y3 * Y1 * Y2^-1)^2, (Y3 * Y1 * Y2)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 15, 87)(5, 77, 18, 90)(6, 78, 19, 91)(7, 79, 20, 92)(8, 80, 24, 96)(9, 81, 27, 99)(10, 82, 28, 100)(12, 84, 21, 93)(13, 85, 25, 97)(14, 86, 26, 98)(16, 88, 22, 94)(17, 89, 23, 95)(29, 101, 45, 117)(30, 102, 48, 120)(31, 103, 49, 121)(32, 104, 50, 122)(33, 105, 46, 118)(34, 106, 47, 119)(35, 107, 51, 123)(36, 108, 52, 124)(37, 109, 53, 125)(38, 110, 56, 128)(39, 111, 57, 129)(40, 112, 58, 130)(41, 113, 54, 126)(42, 114, 55, 127)(43, 115, 59, 131)(44, 116, 60, 132)(61, 133, 69, 141)(62, 134, 72, 144)(63, 135, 67, 139)(64, 136, 71, 143)(65, 137, 70, 142)(66, 138, 68, 140)(145, 217, 147, 219, 156, 228, 149, 221)(146, 218, 151, 223, 165, 237, 153, 225)(148, 220, 160, 232, 150, 222, 161, 233)(152, 224, 169, 241, 154, 226, 170, 242)(155, 227, 173, 245, 162, 234, 175, 247)(157, 229, 177, 249, 158, 230, 178, 250)(159, 231, 174, 246, 163, 235, 176, 248)(164, 236, 181, 253, 171, 243, 183, 255)(166, 238, 185, 257, 167, 239, 186, 258)(168, 240, 182, 254, 172, 244, 184, 256)(179, 251, 190, 262, 180, 252, 191, 263)(187, 259, 198, 270, 188, 260, 199, 271)(189, 261, 205, 277, 193, 265, 207, 279)(192, 264, 206, 278, 194, 266, 208, 280)(195, 267, 209, 281, 196, 268, 210, 282)(197, 269, 211, 283, 201, 273, 213, 285)(200, 272, 212, 284, 202, 274, 214, 286)(203, 275, 215, 287, 204, 276, 216, 288)
	L = (1, 148)(2, 152)(3, 157)(4, 156)(5, 158)(6, 145)(7, 166)(8, 165)(9, 167)(10, 146)(11, 174)(12, 150)(13, 149)(14, 147)(15, 179)(16, 177)(17, 178)(18, 176)(19, 180)(20, 182)(21, 154)(22, 153)(23, 151)(24, 187)(25, 185)(26, 186)(27, 184)(28, 188)(29, 190)(30, 162)(31, 191)(32, 155)(33, 161)(34, 160)(35, 163)(36, 159)(37, 198)(38, 171)(39, 199)(40, 164)(41, 170)(42, 169)(43, 172)(44, 168)(45, 206)(46, 175)(47, 173)(48, 209)(49, 208)(50, 210)(51, 205)(52, 207)(53, 212)(54, 183)(55, 181)(56, 215)(57, 214)(58, 216)(59, 211)(60, 213)(61, 196)(62, 193)(63, 195)(64, 189)(65, 194)(66, 192)(67, 204)(68, 201)(69, 203)(70, 197)(71, 202)(72, 200)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1692
Graph:: simple bipartite
	v = 54 e = 144 f = 36
	degree seq :: [ 4^36, 8^18 ]

E28.1691 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 22>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 145>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1 * Y3^-2, Y2^-1 * Y1 * Y2 * Y1, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^6, Y2^-2 * Y3^-1 * Y2^-2 * Y3, (Y3 * Y2)^4 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 11, 83, 8, 80)(4, 76, 9, 81, 7, 79)(6, 78, 17, 89, 10, 82)(12, 84, 23, 95, 29, 101)(13, 85, 24, 96, 14, 86)(15, 87, 21, 93, 25, 97)(16, 88, 22, 94, 26, 98)(18, 90, 28, 100, 20, 92)(19, 91, 27, 99, 42, 114)(30, 102, 54, 126, 48, 120)(31, 103, 49, 121, 32, 104)(33, 105, 35, 107, 50, 122)(34, 106, 36, 108, 51, 123)(37, 109, 52, 124, 44, 116)(38, 110, 46, 118, 39, 111)(40, 112, 47, 119, 41, 113)(43, 115, 45, 117, 53, 125)(55, 127, 68, 140, 56, 128)(57, 129, 58, 130, 69, 141)(59, 131, 63, 135, 60, 132)(61, 133, 64, 136, 62, 134)(65, 137, 66, 138, 67, 139)(70, 142, 72, 144, 71, 143)(145, 217, 147, 219, 156, 228, 174, 246, 163, 235, 150, 222)(146, 218, 152, 224, 167, 239, 192, 264, 171, 243, 154, 226)(148, 220, 159, 231, 181, 253, 201, 273, 175, 247, 160, 232)(149, 221, 155, 227, 173, 245, 198, 270, 186, 258, 161, 233)(151, 223, 165, 237, 188, 260, 202, 274, 176, 248, 166, 238)(153, 225, 169, 241, 196, 268, 213, 285, 193, 265, 170, 242)(157, 229, 177, 249, 162, 234, 187, 259, 199, 271, 178, 250)(158, 230, 179, 251, 164, 236, 189, 261, 200, 272, 180, 252)(168, 240, 194, 266, 172, 244, 197, 269, 212, 284, 195, 267)(182, 254, 203, 275, 184, 256, 205, 277, 214, 286, 209, 281)(183, 255, 207, 279, 185, 257, 208, 280, 215, 287, 210, 282)(190, 262, 204, 276, 191, 263, 206, 278, 216, 288, 211, 283)
	L = (1, 148)(2, 153)(3, 157)(4, 146)(5, 151)(6, 162)(7, 145)(8, 158)(9, 149)(10, 164)(11, 168)(12, 175)(13, 155)(14, 147)(15, 182)(16, 184)(17, 172)(18, 161)(19, 181)(20, 150)(21, 190)(22, 191)(23, 193)(24, 152)(25, 183)(26, 185)(27, 196)(28, 154)(29, 176)(30, 199)(31, 167)(32, 156)(33, 203)(34, 205)(35, 207)(36, 208)(37, 171)(38, 165)(39, 159)(40, 166)(41, 160)(42, 188)(43, 209)(44, 163)(45, 210)(46, 169)(47, 170)(48, 200)(49, 173)(50, 204)(51, 206)(52, 186)(53, 211)(54, 212)(55, 198)(56, 174)(57, 214)(58, 216)(59, 179)(60, 177)(61, 180)(62, 178)(63, 194)(64, 195)(65, 189)(66, 197)(67, 187)(68, 192)(69, 215)(70, 202)(71, 201)(72, 213)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.1688
Graph:: simple bipartite
	v = 36 e = 144 f = 54
	degree seq :: [ 6^24, 12^12 ]

E28.1692 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x C6) : C2 (small group id <72, 35>)
Aut   = ((C6 x C2) : C2) x S3 (small group id <144, 153>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^3, (Y2, Y1^-1), (R * Y1)^2, (Y3 * Y1^-1)^2, (R * Y3)^2, (R * Y2 * Y3)^2, (Y2^-1 * Y3 * Y2^-1)^2, Y2^6, (Y2^-1 * Y3)^4 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 7, 79, 12, 84)(4, 76, 13, 85, 8, 80)(6, 78, 9, 81, 16, 88)(10, 82, 19, 91, 27, 99)(11, 83, 28, 100, 20, 92)(14, 86, 31, 103, 21, 93)(15, 87, 32, 104, 22, 94)(17, 89, 36, 108, 23, 95)(18, 90, 24, 96, 37, 109)(25, 97, 39, 111, 48, 120)(26, 98, 49, 121, 40, 112)(29, 101, 51, 123, 41, 113)(30, 102, 52, 124, 42, 114)(33, 105, 55, 127, 43, 115)(34, 106, 44, 116, 56, 128)(35, 107, 45, 117, 57, 129)(38, 110, 59, 131, 46, 118)(47, 119, 65, 137, 60, 132)(50, 122, 66, 138, 61, 133)(53, 125, 62, 134, 68, 140)(54, 126, 63, 135, 69, 141)(58, 130, 64, 136, 70, 142)(67, 139, 71, 143, 72, 144)(145, 217, 147, 219, 154, 226, 169, 241, 162, 234, 150, 222)(146, 218, 151, 223, 163, 235, 183, 255, 168, 240, 153, 225)(148, 220, 158, 230, 177, 249, 194, 266, 170, 242, 159, 231)(149, 221, 156, 228, 171, 243, 192, 264, 181, 253, 160, 232)(152, 224, 165, 237, 187, 259, 205, 277, 184, 256, 166, 238)(155, 227, 173, 245, 161, 233, 182, 254, 191, 263, 174, 246)(157, 229, 175, 247, 199, 271, 210, 282, 193, 265, 176, 248)(164, 236, 185, 257, 167, 239, 190, 262, 204, 276, 186, 258)(172, 244, 195, 267, 180, 252, 203, 275, 209, 281, 196, 268)(178, 250, 197, 269, 179, 251, 198, 270, 211, 283, 202, 274)(188, 260, 206, 278, 189, 261, 207, 279, 215, 287, 208, 280)(200, 272, 212, 284, 201, 273, 213, 285, 216, 288, 214, 286)
	L = (1, 148)(2, 152)(3, 155)(4, 145)(5, 157)(6, 161)(7, 164)(8, 146)(9, 167)(10, 170)(11, 147)(12, 172)(13, 149)(14, 178)(15, 179)(16, 180)(17, 150)(18, 177)(19, 184)(20, 151)(21, 188)(22, 189)(23, 153)(24, 187)(25, 191)(26, 154)(27, 193)(28, 156)(29, 197)(30, 198)(31, 200)(32, 201)(33, 162)(34, 158)(35, 159)(36, 160)(37, 199)(38, 202)(39, 204)(40, 163)(41, 206)(42, 207)(43, 168)(44, 165)(45, 166)(46, 208)(47, 169)(48, 209)(49, 171)(50, 211)(51, 212)(52, 213)(53, 173)(54, 174)(55, 181)(56, 175)(57, 176)(58, 182)(59, 214)(60, 183)(61, 215)(62, 185)(63, 186)(64, 190)(65, 192)(66, 216)(67, 194)(68, 195)(69, 196)(70, 203)(71, 205)(72, 210)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.1690
Graph:: simple bipartite
	v = 36 e = 144 f = 54
	degree seq :: [ 6^24, 12^12 ]

E28.1693 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = ((C6 x C2) : C2) x S3 (small group id <144, 153>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y2, Y1), Y3^-2 * Y2^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, Y3^6, Y3 * Y1^-1 * Y2^-2 * Y3^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2^-4 * Y3^-1, Y3^-1 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 8, 80, 14, 86)(4, 76, 16, 88, 18, 90)(6, 78, 10, 82, 21, 93)(7, 79, 24, 96, 9, 81)(11, 83, 33, 105, 20, 92)(12, 84, 26, 98, 36, 108)(13, 85, 37, 109, 32, 104)(15, 87, 41, 113, 27, 99)(17, 89, 43, 115, 34, 106)(19, 91, 44, 116, 29, 101)(22, 94, 31, 103, 45, 117)(23, 95, 40, 112, 28, 100)(25, 97, 49, 121, 30, 102)(35, 107, 50, 122, 57, 129)(38, 110, 58, 130, 53, 125)(39, 111, 59, 131, 51, 123)(42, 114, 63, 135, 52, 124)(46, 118, 54, 126, 66, 138)(47, 119, 55, 127, 64, 136)(48, 120, 56, 128, 65, 137)(60, 132, 67, 139, 72, 144)(61, 133, 68, 140, 70, 142)(62, 134, 69, 141, 71, 143)(145, 217, 147, 219, 156, 228, 179, 251, 166, 238, 150, 222)(146, 218, 152, 224, 170, 242, 194, 266, 175, 247, 154, 226)(148, 220, 161, 233, 177, 249, 169, 241, 151, 223, 163, 235)(149, 221, 158, 230, 180, 252, 201, 273, 189, 261, 165, 237)(153, 225, 173, 245, 162, 234, 178, 250, 155, 227, 174, 246)(157, 229, 182, 254, 167, 239, 186, 258, 159, 231, 183, 255)(160, 232, 187, 259, 164, 236, 193, 265, 168, 240, 188, 260)(171, 243, 195, 267, 176, 248, 197, 269, 172, 244, 196, 268)(181, 253, 202, 274, 184, 256, 207, 279, 185, 257, 203, 275)(190, 262, 204, 276, 192, 264, 206, 278, 191, 263, 205, 277)(198, 270, 211, 283, 200, 272, 213, 285, 199, 271, 212, 284)(208, 280, 214, 286, 210, 282, 216, 288, 209, 281, 215, 287)
	L = (1, 148)(2, 153)(3, 157)(4, 156)(5, 164)(6, 159)(7, 145)(8, 171)(9, 170)(10, 172)(11, 146)(12, 177)(13, 179)(14, 184)(15, 147)(16, 149)(17, 190)(18, 175)(19, 191)(20, 180)(21, 181)(22, 151)(23, 150)(24, 189)(25, 192)(26, 162)(27, 194)(28, 152)(29, 198)(30, 199)(31, 155)(32, 154)(33, 166)(34, 200)(35, 167)(36, 168)(37, 158)(38, 204)(39, 205)(40, 201)(41, 165)(42, 206)(43, 208)(44, 209)(45, 160)(46, 169)(47, 161)(48, 163)(49, 210)(50, 176)(51, 211)(52, 212)(53, 213)(54, 178)(55, 173)(56, 174)(57, 185)(58, 214)(59, 215)(60, 186)(61, 182)(62, 183)(63, 216)(64, 193)(65, 187)(66, 188)(67, 197)(68, 195)(69, 196)(70, 207)(71, 202)(72, 203)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.1689
Graph:: simple bipartite
	v = 36 e = 144 f = 54
	degree seq :: [ 6^24, 12^12 ]

E28.1694 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y2^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y2^-1), (R * Y2)^2, Y3^-4 * Y2, (Y3^-2 * Y1)^2, (Y3^-2 * Y2^-1)^2, (Y3 * Y1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 13, 85)(5, 77, 7, 79)(6, 78, 17, 89)(8, 80, 21, 93)(10, 82, 25, 97)(11, 83, 27, 99)(12, 84, 29, 101)(14, 86, 26, 98)(15, 87, 30, 102)(16, 88, 33, 105)(18, 90, 22, 94)(19, 91, 35, 107)(20, 92, 37, 109)(23, 95, 38, 110)(24, 96, 41, 113)(28, 100, 36, 108)(31, 103, 46, 118)(32, 104, 47, 119)(34, 106, 48, 120)(39, 111, 52, 124)(40, 112, 53, 125)(42, 114, 54, 126)(43, 115, 55, 127)(44, 116, 56, 128)(45, 117, 57, 129)(49, 121, 62, 134)(50, 122, 63, 135)(51, 123, 64, 136)(58, 130, 66, 138)(59, 131, 65, 137)(60, 132, 68, 140)(61, 133, 67, 139)(69, 141, 72, 144)(70, 142, 71, 143)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 155, 227, 159, 231)(150, 222, 156, 228, 160, 232)(152, 224, 163, 235, 167, 239)(154, 226, 164, 236, 168, 240)(157, 229, 174, 246, 171, 243)(158, 230, 172, 244, 162, 234)(161, 233, 177, 249, 173, 245)(165, 237, 182, 254, 179, 251)(166, 238, 180, 252, 170, 242)(169, 241, 185, 257, 181, 253)(175, 247, 189, 261, 187, 259)(176, 248, 178, 250, 188, 260)(183, 255, 195, 267, 193, 265)(184, 256, 186, 258, 194, 266)(190, 262, 199, 271, 201, 273)(191, 263, 200, 272, 192, 264)(196, 268, 206, 278, 208, 280)(197, 269, 207, 279, 198, 270)(202, 274, 213, 285, 205, 277)(203, 275, 204, 276, 214, 286)(209, 281, 215, 287, 212, 284)(210, 282, 211, 283, 216, 288)
	L = (1, 148)(2, 152)(3, 155)(4, 158)(5, 159)(6, 145)(7, 163)(8, 166)(9, 167)(10, 146)(11, 172)(12, 147)(13, 175)(14, 156)(15, 162)(16, 149)(17, 178)(18, 150)(19, 180)(20, 151)(21, 183)(22, 164)(23, 170)(24, 153)(25, 186)(26, 154)(27, 187)(28, 160)(29, 176)(30, 189)(31, 161)(32, 157)(33, 188)(34, 174)(35, 193)(36, 168)(37, 184)(38, 195)(39, 169)(40, 165)(41, 194)(42, 182)(43, 173)(44, 171)(45, 177)(46, 202)(47, 204)(48, 203)(49, 181)(50, 179)(51, 185)(52, 209)(53, 211)(54, 210)(55, 213)(56, 214)(57, 205)(58, 191)(59, 190)(60, 199)(61, 192)(62, 215)(63, 216)(64, 212)(65, 197)(66, 196)(67, 206)(68, 198)(69, 200)(70, 201)(71, 207)(72, 208)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1719
Graph:: simple bipartite
	v = 60 e = 144 f = 30
	degree seq :: [ 4^36, 6^24 ]

E28.1695 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x D24 (small group id <72, 28>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y2, Y3^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2 * Y3^-4, (Y3^-1 * Y1 * Y2)^2, (Y3^-2 * Y2^-1)^2, Y2^-1 * Y3^-2 * Y1 * Y3^-2 * Y2^-1 * Y1, Y2 * Y1 * Y3 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 14, 86)(5, 77, 17, 89)(6, 78, 19, 91)(7, 79, 21, 93)(8, 80, 24, 96)(9, 81, 27, 99)(10, 82, 29, 101)(12, 84, 35, 107)(13, 85, 26, 98)(15, 87, 39, 111)(16, 88, 23, 95)(18, 90, 44, 116)(20, 92, 47, 119)(22, 94, 52, 124)(25, 97, 56, 128)(28, 100, 61, 133)(30, 102, 64, 136)(31, 103, 48, 120)(32, 104, 54, 126)(33, 105, 57, 129)(34, 106, 58, 130)(36, 108, 53, 125)(37, 109, 49, 121)(38, 110, 62, 134)(40, 112, 50, 122)(41, 113, 51, 123)(42, 114, 59, 131)(43, 115, 63, 135)(45, 117, 55, 127)(46, 118, 60, 132)(65, 137, 71, 143)(66, 138, 70, 142)(67, 139, 69, 141)(68, 140, 72, 144)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 156, 228, 160, 232)(150, 222, 157, 229, 162, 234)(152, 224, 166, 238, 170, 242)(154, 226, 167, 239, 172, 244)(155, 227, 175, 247, 177, 249)(158, 230, 181, 253, 178, 250)(159, 231, 180, 252, 164, 236)(161, 233, 184, 256, 186, 258)(163, 235, 185, 257, 190, 262)(165, 237, 192, 264, 194, 266)(168, 240, 198, 270, 195, 267)(169, 241, 197, 269, 174, 246)(171, 243, 201, 273, 203, 275)(173, 245, 202, 274, 207, 279)(176, 248, 209, 281, 188, 260)(179, 251, 211, 283, 187, 259)(182, 254, 191, 263, 210, 282)(183, 255, 189, 261, 212, 284)(193, 265, 213, 285, 205, 277)(196, 268, 215, 287, 204, 276)(199, 271, 208, 280, 214, 286)(200, 272, 206, 278, 216, 288)
	L = (1, 148)(2, 152)(3, 156)(4, 159)(5, 160)(6, 145)(7, 166)(8, 169)(9, 170)(10, 146)(11, 176)(12, 180)(13, 147)(14, 175)(15, 157)(16, 164)(17, 185)(18, 149)(19, 189)(20, 150)(21, 193)(22, 197)(23, 151)(24, 192)(25, 167)(26, 174)(27, 202)(28, 153)(29, 206)(30, 154)(31, 209)(32, 182)(33, 188)(34, 155)(35, 184)(36, 162)(37, 177)(38, 158)(39, 211)(40, 190)(41, 212)(42, 163)(43, 161)(44, 210)(45, 187)(46, 183)(47, 181)(48, 213)(49, 199)(50, 205)(51, 165)(52, 201)(53, 172)(54, 194)(55, 168)(56, 215)(57, 207)(58, 216)(59, 173)(60, 171)(61, 214)(62, 204)(63, 200)(64, 198)(65, 191)(66, 178)(67, 186)(68, 179)(69, 208)(70, 195)(71, 203)(72, 196)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1718
Graph:: simple bipartite
	v = 60 e = 144 f = 30
	degree seq :: [ 4^36, 6^24 ]

E28.1696 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y2 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y3 * Y2^-1 * Y1 * Y3 * Y1, (R * Y2 * Y3^-1)^2, Y3^-2 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1, (Y1 * Y3^-2)^2, Y2 * Y3^-2 * Y1 * Y3 * Y1 * Y3^-1, (Y3 * Y2^-1)^4, (Y3 * Y1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 13, 85)(5, 77, 7, 79)(6, 78, 19, 91)(8, 80, 25, 97)(10, 82, 31, 103)(11, 83, 33, 105)(12, 84, 28, 100)(14, 86, 40, 112)(15, 87, 34, 106)(16, 88, 24, 96)(17, 89, 48, 120)(18, 90, 51, 123)(20, 92, 54, 126)(21, 93, 23, 95)(22, 94, 27, 99)(26, 98, 37, 109)(29, 101, 44, 116)(30, 102, 50, 122)(32, 104, 35, 107)(36, 108, 59, 131)(38, 110, 41, 113)(39, 111, 67, 139)(42, 114, 56, 128)(43, 115, 62, 134)(45, 117, 57, 129)(46, 118, 53, 125)(47, 119, 60, 132)(49, 121, 64, 136)(52, 124, 63, 135)(55, 127, 61, 133)(58, 130, 72, 144)(65, 137, 68, 140)(66, 138, 70, 142)(69, 141, 71, 143)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 158, 230, 160, 232)(150, 222, 164, 236, 165, 237)(152, 224, 170, 242, 172, 244)(154, 226, 176, 248, 177, 249)(155, 227, 179, 251, 175, 247)(156, 228, 181, 253, 169, 241)(157, 229, 168, 240, 184, 256)(159, 231, 180, 252, 189, 261)(161, 233, 193, 265, 194, 266)(162, 234, 196, 268, 188, 260)(163, 235, 167, 239, 198, 270)(166, 238, 182, 254, 186, 258)(171, 243, 200, 272, 185, 257)(173, 245, 207, 279, 195, 267)(174, 246, 208, 280, 192, 264)(178, 250, 201, 273, 203, 275)(183, 255, 212, 284, 206, 278)(187, 259, 209, 281, 211, 283)(190, 262, 199, 271, 210, 282)(191, 263, 202, 274, 215, 287)(197, 269, 214, 286, 205, 277)(204, 276, 213, 285, 216, 288)
	L = (1, 148)(2, 152)(3, 155)(4, 159)(5, 161)(6, 145)(7, 167)(8, 171)(9, 173)(10, 146)(11, 180)(12, 147)(13, 183)(14, 186)(15, 188)(16, 190)(17, 189)(18, 149)(19, 197)(20, 187)(21, 191)(22, 150)(23, 200)(24, 151)(25, 202)(26, 203)(27, 192)(28, 205)(29, 185)(30, 153)(31, 199)(32, 204)(33, 206)(34, 154)(35, 166)(36, 165)(37, 209)(38, 156)(39, 163)(40, 213)(41, 157)(42, 162)(43, 158)(44, 215)(45, 169)(46, 196)(47, 160)(48, 212)(49, 182)(50, 210)(51, 214)(52, 211)(53, 176)(54, 178)(55, 164)(56, 177)(57, 168)(58, 175)(59, 174)(60, 170)(61, 208)(62, 172)(63, 201)(64, 216)(65, 179)(66, 181)(67, 193)(68, 195)(69, 198)(70, 184)(71, 194)(72, 207)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1720
Graph:: simple bipartite
	v = 60 e = 144 f = 30
	degree seq :: [ 4^36, 6^24 ]

E28.1697 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y1 * Y2^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1 * Y2^-1)^2, Y3 * Y1 * Y2^-1 * Y3 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y3^-3 * Y2^-1 * Y3^-1 * Y2^-1, Y2^-1 * Y3^2 * Y2 * Y3^-2, (Y1 * Y3^-2)^2, Y2^-1 * Y3^-1 * Y2 * Y3^-2 * Y2 * Y3^-1, Y3^-2 * Y1 * Y3 * Y1 * Y2 * Y3^-1, (Y3 * Y2^-1)^4, (Y3 * Y1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 13, 85)(5, 77, 7, 79)(6, 78, 19, 91)(8, 80, 25, 97)(10, 82, 31, 103)(11, 83, 35, 107)(12, 84, 39, 111)(14, 86, 30, 102)(15, 87, 34, 106)(16, 88, 43, 115)(17, 89, 32, 104)(18, 90, 26, 98)(20, 92, 29, 101)(21, 93, 53, 125)(22, 94, 27, 99)(23, 95, 40, 112)(24, 96, 36, 108)(28, 100, 48, 120)(33, 105, 52, 124)(37, 109, 60, 132)(38, 110, 58, 130)(41, 113, 57, 129)(42, 114, 62, 134)(44, 116, 68, 140)(45, 117, 55, 127)(46, 118, 56, 128)(47, 119, 63, 135)(49, 121, 54, 126)(50, 122, 64, 136)(51, 123, 61, 133)(59, 131, 72, 144)(65, 137, 71, 143)(66, 138, 69, 141)(67, 139, 70, 142)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 158, 230, 160, 232)(150, 222, 164, 236, 165, 237)(152, 224, 170, 242, 172, 244)(154, 226, 176, 248, 177, 249)(155, 227, 180, 252, 182, 254)(156, 228, 184, 256, 185, 257)(157, 229, 187, 259, 174, 246)(159, 231, 181, 253, 193, 265)(161, 233, 175, 247, 196, 268)(162, 234, 169, 241, 192, 264)(163, 235, 197, 269, 173, 245)(166, 238, 186, 258, 190, 262)(167, 239, 183, 255, 201, 273)(168, 240, 179, 251, 202, 274)(171, 243, 200, 272, 206, 278)(178, 250, 198, 270, 204, 276)(188, 260, 205, 277, 209, 281)(189, 261, 208, 280, 210, 282)(191, 263, 211, 283, 203, 275)(194, 266, 199, 271, 213, 285)(195, 267, 212, 284, 215, 287)(207, 279, 216, 288, 214, 286)
	L = (1, 148)(2, 152)(3, 155)(4, 159)(5, 161)(6, 145)(7, 167)(8, 171)(9, 173)(10, 146)(11, 181)(12, 147)(13, 188)(14, 190)(15, 192)(16, 194)(17, 193)(18, 149)(19, 198)(20, 191)(21, 195)(22, 150)(23, 200)(24, 151)(25, 203)(26, 204)(27, 187)(28, 189)(29, 206)(30, 153)(31, 186)(32, 205)(33, 207)(34, 154)(35, 209)(36, 166)(37, 165)(38, 199)(39, 178)(40, 211)(41, 212)(42, 156)(43, 214)(44, 163)(45, 157)(46, 162)(47, 158)(48, 215)(49, 185)(50, 169)(51, 160)(52, 213)(53, 210)(54, 168)(55, 164)(56, 177)(57, 208)(58, 216)(59, 175)(60, 174)(61, 170)(62, 202)(63, 172)(64, 176)(65, 183)(66, 179)(67, 180)(68, 182)(69, 184)(70, 197)(71, 196)(72, 201)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1721
Graph:: simple bipartite
	v = 60 e = 144 f = 30
	degree seq :: [ 4^36, 6^24 ]

E28.1698 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y2, Y3^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^-1 * Y1 * Y2 * Y1, Y2^-1 * Y3^4, Y3 * Y1 * Y3^-2 * Y1 * Y3, (Y3^-1 * Y1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 7, 79)(4, 76, 13, 85)(5, 77, 9, 81)(6, 78, 17, 89)(8, 80, 21, 93)(10, 82, 25, 97)(11, 83, 27, 99)(12, 84, 29, 101)(14, 86, 22, 94)(15, 87, 31, 103)(16, 88, 33, 105)(18, 90, 26, 98)(19, 91, 35, 107)(20, 92, 37, 109)(23, 95, 39, 111)(24, 96, 41, 113)(28, 100, 36, 108)(30, 102, 45, 117)(32, 104, 47, 119)(34, 106, 48, 120)(38, 110, 51, 123)(40, 112, 53, 125)(42, 114, 54, 126)(43, 115, 55, 127)(44, 116, 56, 128)(46, 118, 59, 131)(49, 121, 62, 134)(50, 122, 63, 135)(52, 124, 66, 138)(57, 129, 68, 140)(58, 130, 71, 143)(60, 132, 72, 144)(61, 133, 64, 136)(65, 137, 69, 141)(67, 139, 70, 142)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 155, 227, 159, 231)(150, 222, 156, 228, 160, 232)(152, 224, 163, 235, 167, 239)(154, 226, 164, 236, 168, 240)(157, 229, 171, 243, 175, 247)(158, 230, 172, 244, 162, 234)(161, 233, 173, 245, 177, 249)(165, 237, 179, 251, 183, 255)(166, 238, 180, 252, 170, 242)(169, 241, 181, 253, 185, 257)(174, 246, 187, 259, 178, 250)(176, 248, 188, 260, 190, 262)(182, 254, 193, 265, 186, 258)(184, 256, 194, 266, 196, 268)(189, 261, 199, 271, 192, 264)(191, 263, 200, 272, 203, 275)(195, 267, 206, 278, 198, 270)(197, 269, 207, 279, 210, 282)(201, 273, 213, 285, 204, 276)(202, 274, 214, 286, 205, 277)(208, 280, 215, 287, 211, 283)(209, 281, 216, 288, 212, 284)
	L = (1, 148)(2, 152)(3, 155)(4, 158)(5, 159)(6, 145)(7, 163)(8, 166)(9, 167)(10, 146)(11, 172)(12, 147)(13, 174)(14, 156)(15, 162)(16, 149)(17, 176)(18, 150)(19, 180)(20, 151)(21, 182)(22, 164)(23, 170)(24, 153)(25, 184)(26, 154)(27, 187)(28, 160)(29, 188)(30, 173)(31, 178)(32, 157)(33, 190)(34, 161)(35, 193)(36, 168)(37, 194)(38, 181)(39, 186)(40, 165)(41, 196)(42, 169)(43, 177)(44, 171)(45, 201)(46, 175)(47, 202)(48, 204)(49, 185)(50, 179)(51, 208)(52, 183)(53, 209)(54, 211)(55, 213)(56, 214)(57, 200)(58, 189)(59, 205)(60, 191)(61, 192)(62, 215)(63, 216)(64, 207)(65, 195)(66, 212)(67, 197)(68, 198)(69, 203)(70, 199)(71, 210)(72, 206)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1723
Graph:: simple bipartite
	v = 60 e = 144 f = 30
	degree seq :: [ 4^36, 6^24 ]

E28.1699 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, Y1 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y3, Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y2^-1, Y1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y2, (R * Y2 * Y3^-1)^2, Y2 * Y3^3 * Y2 * Y3, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, Y3 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y1, Y2^-1 * Y3^2 * Y2 * Y3^-2, Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3^-3 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 14, 86)(5, 77, 18, 90)(6, 78, 21, 93)(7, 79, 25, 97)(8, 80, 28, 100)(9, 81, 32, 104)(10, 82, 35, 107)(12, 84, 41, 113)(13, 85, 33, 105)(15, 87, 48, 120)(16, 88, 30, 102)(17, 89, 36, 108)(19, 91, 27, 99)(20, 92, 56, 128)(22, 94, 31, 103)(23, 95, 59, 131)(24, 96, 38, 110)(26, 98, 45, 117)(29, 101, 57, 129)(34, 106, 55, 127)(37, 109, 44, 116)(39, 111, 60, 132)(40, 112, 70, 142)(42, 114, 67, 139)(43, 115, 66, 138)(46, 118, 72, 144)(47, 119, 65, 137)(49, 121, 63, 135)(50, 122, 62, 134)(51, 123, 69, 141)(52, 124, 68, 140)(53, 125, 61, 133)(54, 126, 71, 143)(58, 130, 64, 136)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 159, 231, 161, 233)(150, 222, 166, 238, 167, 239)(152, 224, 173, 245, 175, 247)(154, 226, 180, 252, 181, 253)(155, 227, 183, 255, 184, 256)(156, 228, 186, 258, 188, 260)(157, 229, 172, 244, 189, 261)(158, 230, 185, 257, 171, 243)(160, 232, 187, 259, 195, 267)(162, 234, 197, 269, 198, 270)(163, 235, 199, 271, 179, 251)(164, 236, 201, 273, 194, 266)(165, 237, 177, 249, 200, 272)(168, 240, 190, 262, 193, 265)(169, 241, 204, 276, 205, 277)(170, 242, 206, 278, 203, 275)(174, 246, 207, 279, 212, 284)(176, 248, 214, 286, 215, 287)(178, 250, 192, 264, 211, 283)(182, 254, 208, 280, 210, 282)(191, 263, 213, 285, 216, 288)(196, 268, 202, 274, 209, 281)
	L = (1, 148)(2, 152)(3, 156)(4, 160)(5, 163)(6, 145)(7, 170)(8, 174)(9, 177)(10, 146)(11, 173)(12, 187)(13, 147)(14, 183)(15, 193)(16, 194)(17, 196)(18, 175)(19, 195)(20, 149)(21, 191)(22, 169)(23, 176)(24, 150)(25, 159)(26, 207)(27, 151)(28, 204)(29, 210)(30, 211)(31, 213)(32, 161)(33, 212)(34, 153)(35, 209)(36, 155)(37, 162)(38, 154)(39, 206)(40, 200)(41, 197)(42, 168)(43, 167)(44, 202)(45, 214)(46, 157)(47, 158)(48, 184)(49, 164)(50, 215)(51, 189)(52, 201)(53, 203)(54, 165)(55, 190)(56, 208)(57, 205)(58, 166)(59, 216)(60, 186)(61, 199)(62, 182)(63, 181)(64, 171)(65, 172)(66, 178)(67, 198)(68, 185)(69, 192)(70, 188)(71, 179)(72, 180)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1722
Graph:: simple bipartite
	v = 60 e = 144 f = 30
	degree seq :: [ 4^36, 6^24 ]

E28.1700 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (R * Y1)^2, (R * Y3)^2, Y1 * Y3 * Y1 * Y3 * Y2, Y1 * Y2^-1 * Y3^-1 * Y1 * Y3^-1, Y3^-2 * Y2^-1 * Y3^2 * Y2, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y3^3 * Y2, (Y1 * Y2 * Y3^-1)^2, Y1 * Y3^2 * Y1 * Y3^-2, Y1 * Y3^-1 * Y2^-1 * Y3 * Y1 * Y2, (Y3 * Y2^-1)^4, Y2 * Y3^-1 * Y2 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 14, 86)(5, 77, 18, 90)(6, 78, 21, 93)(7, 79, 25, 97)(8, 80, 20, 92)(9, 81, 30, 102)(10, 82, 15, 87)(12, 84, 37, 109)(13, 85, 29, 101)(16, 88, 28, 100)(17, 89, 27, 99)(19, 91, 44, 116)(22, 94, 55, 127)(23, 95, 57, 129)(24, 96, 34, 106)(26, 98, 54, 126)(31, 103, 47, 119)(32, 104, 38, 110)(33, 105, 52, 124)(35, 107, 58, 130)(36, 108, 67, 139)(39, 111, 45, 117)(40, 112, 62, 134)(41, 113, 61, 133)(42, 114, 69, 141)(43, 115, 70, 142)(46, 118, 60, 132)(48, 120, 66, 138)(49, 121, 65, 137)(50, 122, 59, 131)(51, 123, 68, 140)(53, 125, 63, 135)(56, 128, 64, 136)(71, 143, 72, 144)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 159, 231, 161, 233)(150, 222, 166, 238, 167, 239)(152, 224, 165, 237, 173, 245)(154, 226, 176, 248, 177, 249)(155, 227, 179, 251, 180, 252)(156, 228, 182, 254, 184, 256)(157, 229, 185, 257, 186, 258)(158, 230, 181, 253, 188, 260)(160, 232, 183, 255, 192, 264)(162, 234, 194, 266, 195, 267)(163, 235, 196, 268, 197, 269)(164, 236, 198, 270, 191, 263)(168, 240, 187, 259, 190, 262)(169, 241, 202, 274, 203, 275)(170, 242, 199, 271, 205, 277)(171, 243, 206, 278, 207, 279)(172, 244, 204, 276, 209, 281)(174, 246, 211, 283, 212, 284)(175, 247, 201, 273, 213, 285)(178, 250, 208, 280, 189, 261)(193, 265, 200, 272, 215, 287)(210, 282, 214, 286, 216, 288)
	L = (1, 148)(2, 152)(3, 156)(4, 160)(5, 163)(6, 145)(7, 170)(8, 172)(9, 175)(10, 146)(11, 165)(12, 183)(13, 147)(14, 153)(15, 190)(16, 191)(17, 193)(18, 173)(19, 192)(20, 149)(21, 189)(22, 169)(23, 174)(24, 150)(25, 159)(26, 204)(27, 151)(28, 188)(29, 210)(30, 161)(31, 209)(32, 155)(33, 162)(34, 154)(35, 199)(36, 201)(37, 180)(38, 168)(39, 167)(40, 200)(41, 202)(42, 211)(43, 157)(44, 195)(45, 158)(46, 164)(47, 212)(48, 186)(49, 198)(50, 205)(51, 213)(52, 187)(53, 215)(54, 203)(55, 178)(56, 166)(57, 208)(58, 182)(59, 196)(60, 177)(61, 214)(62, 179)(63, 194)(64, 171)(65, 207)(66, 181)(67, 184)(68, 197)(69, 216)(70, 176)(71, 185)(72, 206)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1724
Graph:: simple bipartite
	v = 60 e = 144 f = 30
	degree seq :: [ 4^36, 6^24 ]

E28.1701 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (R * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y3 * Y1 * Y2, Y1 * Y3^-1 * Y1 * Y3^-1 * Y2^-1, Y3 * Y2 * Y3^-2 * Y2^-1 * Y3, Y2^-1 * Y3^-1 * Y2^-1 * Y3^-3, Y1 * Y3^2 * Y1 * Y3^-2, (R * Y2 * Y3^-1)^2, (Y1 * Y2^-1 * Y3)^2, Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y2^-1, Y3 * Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 14, 86)(5, 77, 18, 90)(6, 78, 21, 93)(7, 79, 25, 97)(8, 80, 23, 95)(9, 81, 30, 102)(10, 82, 12, 84)(13, 85, 40, 112)(15, 87, 45, 117)(16, 88, 28, 100)(17, 89, 49, 121)(19, 91, 33, 105)(20, 92, 55, 127)(22, 94, 31, 103)(24, 96, 34, 106)(26, 98, 37, 109)(27, 99, 42, 114)(29, 101, 47, 119)(32, 104, 39, 111)(35, 107, 58, 130)(36, 108, 65, 137)(38, 110, 62, 134)(41, 113, 67, 139)(43, 115, 70, 142)(44, 116, 46, 118)(48, 120, 64, 136)(50, 122, 63, 135)(51, 123, 59, 131)(52, 124, 66, 138)(53, 125, 60, 132)(54, 126, 69, 141)(56, 128, 68, 140)(57, 129, 61, 133)(71, 143, 72, 144)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 159, 231, 161, 233)(150, 222, 166, 238, 167, 239)(152, 224, 171, 243, 173, 245)(154, 226, 177, 249, 158, 230)(155, 227, 179, 251, 180, 252)(156, 228, 181, 253, 183, 255)(157, 229, 185, 257, 186, 258)(160, 232, 182, 254, 192, 264)(162, 234, 195, 267, 196, 268)(163, 235, 197, 269, 198, 270)(164, 236, 200, 272, 191, 263)(165, 237, 184, 256, 199, 271)(168, 240, 187, 259, 190, 262)(169, 241, 202, 274, 203, 275)(170, 242, 204, 276, 189, 261)(172, 244, 188, 260, 207, 279)(174, 246, 209, 281, 210, 282)(175, 247, 211, 283, 212, 284)(176, 248, 213, 285, 193, 265)(178, 250, 205, 277, 206, 278)(194, 266, 201, 273, 215, 287)(208, 280, 214, 286, 216, 288)
	L = (1, 148)(2, 152)(3, 156)(4, 160)(5, 163)(6, 145)(7, 165)(8, 172)(9, 175)(10, 146)(11, 171)(12, 182)(13, 147)(14, 162)(15, 190)(16, 191)(17, 194)(18, 173)(19, 192)(20, 149)(21, 188)(22, 169)(23, 174)(24, 150)(25, 159)(26, 151)(27, 206)(28, 193)(29, 208)(30, 161)(31, 207)(32, 153)(33, 155)(34, 154)(35, 184)(36, 211)(37, 168)(38, 167)(39, 201)(40, 178)(41, 202)(42, 209)(43, 157)(44, 158)(45, 195)(46, 164)(47, 210)(48, 186)(49, 196)(50, 200)(51, 199)(52, 212)(53, 187)(54, 215)(55, 214)(56, 203)(57, 166)(58, 181)(59, 197)(60, 179)(61, 170)(62, 176)(63, 189)(64, 213)(65, 183)(66, 198)(67, 205)(68, 216)(69, 180)(70, 177)(71, 185)(72, 204)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1725
Graph:: simple bipartite
	v = 60 e = 144 f = 30
	degree seq :: [ 4^36, 6^24 ]

E28.1702 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^3, (Y3 * Y1^-1)^2, (Y2, Y1^-1), (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3)^2, (Y3 * Y2^-2)^2, (Y3 * Y2)^6 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 7, 79, 12, 84)(4, 76, 13, 85, 8, 80)(6, 78, 9, 81, 16, 88)(10, 82, 18, 90, 24, 96)(11, 83, 25, 97, 19, 91)(14, 86, 28, 100, 20, 92)(15, 87, 29, 101, 21, 93)(17, 89, 32, 104, 22, 94)(23, 95, 38, 110, 33, 105)(26, 98, 39, 111, 34, 106)(27, 99, 40, 112, 35, 107)(30, 102, 36, 108, 43, 115)(31, 103, 37, 109, 44, 116)(41, 113, 47, 119, 51, 123)(42, 114, 48, 120, 52, 124)(45, 117, 49, 121, 55, 127)(46, 118, 50, 122, 56, 128)(53, 125, 59, 131, 63, 135)(54, 126, 60, 132, 64, 136)(57, 129, 67, 139, 61, 133)(58, 130, 68, 140, 62, 134)(65, 137, 71, 143, 69, 141)(66, 138, 72, 144, 70, 142)(145, 217, 147, 219, 154, 226, 150, 222)(146, 218, 151, 223, 162, 234, 153, 225)(148, 220, 158, 230, 167, 239, 159, 231)(149, 221, 156, 228, 168, 240, 160, 232)(152, 224, 164, 236, 177, 249, 165, 237)(155, 227, 170, 242, 161, 233, 171, 243)(157, 229, 172, 244, 182, 254, 173, 245)(163, 235, 178, 250, 166, 238, 179, 251)(169, 241, 183, 255, 176, 248, 184, 256)(174, 246, 189, 261, 175, 247, 190, 262)(180, 252, 193, 265, 181, 253, 194, 266)(185, 257, 197, 269, 186, 258, 198, 270)(187, 259, 199, 271, 188, 260, 200, 272)(191, 263, 203, 275, 192, 264, 204, 276)(195, 267, 207, 279, 196, 268, 208, 280)(201, 273, 210, 282, 202, 274, 209, 281)(205, 277, 214, 286, 206, 278, 213, 285)(211, 283, 216, 288, 212, 284, 215, 287)
	L = (1, 148)(2, 152)(3, 155)(4, 145)(5, 157)(6, 161)(7, 163)(8, 146)(9, 166)(10, 167)(11, 147)(12, 169)(13, 149)(14, 174)(15, 175)(16, 176)(17, 150)(18, 177)(19, 151)(20, 180)(21, 181)(22, 153)(23, 154)(24, 182)(25, 156)(26, 185)(27, 186)(28, 187)(29, 188)(30, 158)(31, 159)(32, 160)(33, 162)(34, 191)(35, 192)(36, 164)(37, 165)(38, 168)(39, 195)(40, 196)(41, 170)(42, 171)(43, 172)(44, 173)(45, 201)(46, 202)(47, 178)(48, 179)(49, 205)(50, 206)(51, 183)(52, 184)(53, 209)(54, 210)(55, 211)(56, 212)(57, 189)(58, 190)(59, 213)(60, 214)(61, 193)(62, 194)(63, 215)(64, 216)(65, 197)(66, 198)(67, 199)(68, 200)(69, 203)(70, 204)(71, 207)(72, 208)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1715
Graph:: simple bipartite
	v = 42 e = 144 f = 48
	degree seq :: [ 6^24, 8^18 ]

E28.1703 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^3, (Y1 * Y3)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, (R * Y1)^2, Y2^4, Y1^-1 * Y2^-2 * Y1 * Y2^-2, (R * Y2 * Y3)^2, (Y3 * Y2 * Y1^-1)^2, Y2^-1 * Y3 * Y2^2 * Y3 * Y2^-1, Y2^-1 * Y1 * Y2^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y1^-1, Y1^-1 * Y2^-1 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2, Y2 * Y1^-1 * Y2^-1 * Y1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 10, 82, 13, 85)(4, 76, 14, 86, 8, 80)(6, 78, 19, 91, 21, 93)(7, 79, 22, 94, 25, 97)(9, 81, 28, 100, 30, 102)(11, 83, 23, 95, 35, 107)(12, 84, 36, 108, 32, 104)(15, 87, 42, 114, 29, 101)(16, 88, 43, 115, 24, 96)(17, 89, 44, 116, 46, 118)(18, 90, 47, 119, 49, 121)(20, 92, 41, 113, 50, 122)(26, 98, 58, 130, 48, 120)(27, 99, 59, 131, 45, 117)(31, 103, 51, 123, 60, 132)(33, 105, 52, 124, 63, 135)(34, 106, 64, 136, 53, 125)(37, 109, 65, 137, 54, 126)(38, 110, 66, 138, 55, 127)(39, 111, 56, 128, 68, 140)(40, 112, 57, 129, 70, 142)(61, 133, 72, 144, 69, 141)(62, 134, 71, 143, 67, 139)(145, 217, 147, 219, 155, 227, 150, 222)(146, 218, 151, 223, 167, 239, 153, 225)(148, 220, 159, 231, 178, 250, 160, 232)(149, 221, 161, 233, 179, 251, 162, 234)(152, 224, 170, 242, 197, 269, 171, 243)(154, 226, 175, 247, 163, 235, 177, 249)(156, 228, 181, 253, 164, 236, 182, 254)(157, 229, 183, 255, 165, 237, 184, 256)(158, 230, 185, 257, 208, 280, 180, 252)(166, 238, 195, 267, 172, 244, 196, 268)(168, 240, 198, 270, 173, 245, 199, 271)(169, 241, 200, 272, 174, 246, 201, 273)(176, 248, 205, 277, 194, 266, 206, 278)(186, 258, 211, 283, 187, 259, 213, 285)(188, 260, 204, 276, 191, 263, 207, 279)(189, 261, 209, 281, 192, 264, 210, 282)(190, 262, 212, 284, 193, 265, 214, 286)(202, 274, 215, 287, 203, 275, 216, 288)
	L = (1, 148)(2, 152)(3, 156)(4, 145)(5, 158)(6, 164)(7, 168)(8, 146)(9, 173)(10, 176)(11, 178)(12, 147)(13, 180)(14, 149)(15, 174)(16, 169)(17, 189)(18, 192)(19, 194)(20, 150)(21, 185)(22, 187)(23, 197)(24, 151)(25, 160)(26, 193)(27, 190)(28, 186)(29, 153)(30, 159)(31, 199)(32, 154)(33, 198)(34, 155)(35, 208)(36, 157)(37, 207)(38, 204)(39, 211)(40, 213)(41, 165)(42, 172)(43, 166)(44, 203)(45, 161)(46, 171)(47, 202)(48, 162)(49, 170)(50, 163)(51, 210)(52, 209)(53, 167)(54, 177)(55, 175)(56, 215)(57, 216)(58, 191)(59, 188)(60, 182)(61, 214)(62, 212)(63, 181)(64, 179)(65, 196)(66, 195)(67, 183)(68, 206)(69, 184)(70, 205)(71, 200)(72, 201)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1716
Graph:: simple bipartite
	v = 42 e = 144 f = 48
	degree seq :: [ 6^24, 8^18 ]

E28.1704 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^3, Y2^4, (R * Y1)^2, (Y3 * Y1^-1)^2, (R * Y3)^2, Y2^-1 * Y1^-1 * Y2^2 * Y1 * Y2^-1, (Y1^-1 * Y2^-1 * Y3)^2, (Y3 * Y2^-2)^2, (R * Y2 * Y3)^2, (Y3 * Y2 * Y1^-1 * Y2^-1)^2, Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, (Y1^-1 * Y2^-1 * Y3 * Y2^-1)^2, (Y3 * Y2)^6 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 10, 82, 13, 85)(4, 76, 14, 86, 8, 80)(6, 78, 19, 91, 21, 93)(7, 79, 22, 94, 25, 97)(9, 81, 28, 100, 30, 102)(11, 83, 23, 95, 34, 106)(12, 84, 35, 107, 27, 99)(15, 87, 42, 114, 44, 116)(16, 88, 45, 117, 47, 119)(17, 89, 46, 118, 48, 120)(18, 90, 43, 115, 49, 121)(20, 92, 50, 122, 26, 98)(24, 96, 54, 126, 41, 113)(29, 101, 59, 131, 40, 112)(31, 103, 51, 123, 61, 133)(32, 104, 52, 124, 63, 135)(33, 105, 64, 136, 53, 125)(36, 108, 67, 139, 55, 127)(37, 109, 68, 140, 56, 128)(38, 110, 57, 129, 69, 141)(39, 111, 58, 130, 70, 142)(60, 132, 72, 144, 66, 138)(62, 134, 71, 143, 65, 137)(145, 217, 147, 219, 155, 227, 150, 222)(146, 218, 151, 223, 167, 239, 153, 225)(148, 220, 159, 231, 177, 249, 160, 232)(149, 221, 161, 233, 178, 250, 162, 234)(152, 224, 170, 242, 197, 269, 171, 243)(154, 226, 175, 247, 163, 235, 176, 248)(156, 228, 180, 252, 164, 236, 181, 253)(157, 229, 182, 254, 165, 237, 183, 255)(158, 230, 184, 256, 208, 280, 185, 257)(166, 238, 195, 267, 172, 244, 196, 268)(168, 240, 199, 271, 173, 245, 200, 272)(169, 241, 201, 273, 174, 246, 202, 274)(179, 251, 209, 281, 194, 266, 210, 282)(186, 258, 212, 284, 189, 261, 211, 283)(187, 259, 207, 279, 190, 262, 205, 277)(188, 260, 204, 276, 191, 263, 206, 278)(192, 264, 213, 285, 193, 265, 214, 286)(198, 270, 215, 287, 203, 275, 216, 288)
	L = (1, 148)(2, 152)(3, 156)(4, 145)(5, 158)(6, 164)(7, 168)(8, 146)(9, 173)(10, 171)(11, 177)(12, 147)(13, 179)(14, 149)(15, 187)(16, 190)(17, 189)(18, 186)(19, 170)(20, 150)(21, 194)(22, 185)(23, 197)(24, 151)(25, 198)(26, 163)(27, 154)(28, 184)(29, 153)(30, 203)(31, 204)(32, 206)(33, 155)(34, 208)(35, 157)(36, 202)(37, 201)(38, 212)(39, 211)(40, 172)(41, 166)(42, 162)(43, 159)(44, 193)(45, 161)(46, 160)(47, 192)(48, 191)(49, 188)(50, 165)(51, 210)(52, 209)(53, 167)(54, 169)(55, 214)(56, 213)(57, 181)(58, 180)(59, 174)(60, 175)(61, 216)(62, 176)(63, 215)(64, 178)(65, 196)(66, 195)(67, 183)(68, 182)(69, 200)(70, 199)(71, 207)(72, 205)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1717
Graph:: simple bipartite
	v = 42 e = 144 f = 48
	degree seq :: [ 6^24, 8^18 ]

E28.1705 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-2, Y1^3, (Y1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, Y2^4, Y1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y3, Y1^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1, Y3 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y1, Y2 * Y1^-1 * Y2^2 * Y1 * Y2, (R * Y2 * Y3^-1)^2, Y3 * Y2^-2 * Y3^-1 * Y2^-2, Y2 * R * Y2 * Y1^-1 * Y2^-1 * R * Y2^-1 * Y1^-1, Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y3 * Y2^-1 * Y1^-1, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 11, 83, 14, 86)(4, 76, 9, 81, 7, 79)(6, 78, 20, 92, 22, 94)(8, 80, 26, 98, 29, 101)(10, 82, 33, 105, 35, 107)(12, 84, 27, 99, 40, 112)(13, 85, 32, 104, 15, 87)(16, 88, 48, 120, 50, 122)(17, 89, 52, 124, 54, 126)(18, 90, 55, 127, 53, 125)(19, 91, 51, 123, 49, 121)(21, 93, 31, 103, 23, 95)(24, 96, 36, 108, 34, 106)(25, 97, 30, 102, 28, 100)(37, 109, 56, 128, 66, 138)(38, 110, 57, 129, 68, 140)(39, 111, 58, 130, 41, 113)(42, 114, 59, 131, 70, 142)(43, 115, 60, 132, 72, 144)(44, 116, 61, 133, 71, 143)(45, 117, 62, 134, 69, 141)(46, 118, 63, 135, 67, 139)(47, 119, 64, 136, 65, 137)(145, 217, 147, 219, 156, 228, 150, 222)(146, 218, 152, 224, 171, 243, 154, 226)(148, 220, 160, 232, 183, 255, 161, 233)(149, 221, 162, 234, 184, 256, 163, 235)(151, 223, 168, 240, 185, 257, 169, 241)(153, 225, 175, 247, 202, 274, 176, 248)(155, 227, 181, 253, 164, 236, 182, 254)(157, 229, 186, 258, 165, 237, 187, 259)(158, 230, 188, 260, 166, 238, 189, 261)(159, 231, 190, 262, 167, 239, 191, 263)(170, 242, 200, 272, 177, 249, 201, 273)(172, 244, 203, 275, 178, 250, 204, 276)(173, 245, 205, 277, 179, 251, 206, 278)(174, 246, 207, 279, 180, 252, 208, 280)(192, 264, 209, 281, 196, 268, 211, 283)(193, 265, 213, 285, 197, 269, 215, 287)(194, 266, 216, 288, 198, 270, 214, 286)(195, 267, 212, 284, 199, 271, 210, 282)
	L = (1, 148)(2, 153)(3, 157)(4, 146)(5, 151)(6, 165)(7, 145)(8, 172)(9, 149)(10, 178)(11, 176)(12, 183)(13, 155)(14, 159)(15, 147)(16, 193)(17, 197)(18, 198)(19, 194)(20, 175)(21, 164)(22, 167)(23, 150)(24, 179)(25, 173)(26, 169)(27, 202)(28, 170)(29, 174)(30, 152)(31, 166)(32, 158)(33, 168)(34, 177)(35, 180)(36, 154)(37, 209)(38, 211)(39, 171)(40, 185)(41, 156)(42, 213)(43, 215)(44, 216)(45, 214)(46, 212)(47, 210)(48, 163)(49, 192)(50, 195)(51, 160)(52, 162)(53, 196)(54, 199)(55, 161)(56, 191)(57, 190)(58, 184)(59, 189)(60, 188)(61, 187)(62, 186)(63, 182)(64, 181)(65, 200)(66, 208)(67, 201)(68, 207)(69, 203)(70, 206)(71, 204)(72, 205)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1710
Graph:: simple bipartite
	v = 42 e = 144 f = 48
	degree seq :: [ 6^24, 8^18 ]

E28.1706 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y3 * Y1)^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3^-1 * Y2^-1 * Y3, Y2^4, (Y3 * Y1)^2, Y2^-2 * Y1 * Y2^-2 * Y1^-1, Y3 * Y1^-1 * Y3^-3 * Y1^-1, Y2 * Y1^-1 * Y3^-2 * Y2^-1 * Y1^-1, Y1^-1 * Y3 * Y1^-1 * Y3^3, Y2 * Y1 * Y2^-1 * Y3^2 * Y1, Y1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 12, 84, 15, 87)(4, 76, 17, 89, 20, 92)(6, 78, 24, 96, 25, 97)(7, 79, 27, 99, 9, 81)(8, 80, 29, 101, 32, 104)(10, 82, 36, 108, 37, 109)(11, 83, 39, 111, 22, 94)(13, 85, 30, 102, 46, 118)(14, 86, 31, 103, 49, 121)(16, 88, 33, 105, 42, 114)(18, 90, 34, 106, 54, 126)(19, 91, 35, 107, 55, 127)(21, 93, 57, 129, 48, 120)(23, 95, 58, 130, 53, 125)(26, 98, 38, 110, 52, 124)(28, 100, 40, 112, 43, 115)(41, 113, 60, 132, 67, 139)(44, 116, 61, 133, 51, 123)(45, 117, 66, 138, 70, 142)(47, 119, 68, 140, 62, 134)(50, 122, 64, 136, 69, 141)(56, 128, 59, 131, 65, 137)(63, 135, 72, 144, 71, 143)(145, 217, 147, 219, 157, 229, 150, 222)(146, 218, 152, 224, 174, 246, 154, 226)(148, 220, 162, 234, 189, 261, 158, 230)(149, 221, 165, 237, 190, 262, 167, 239)(151, 223, 170, 242, 191, 263, 160, 232)(153, 225, 178, 250, 206, 278, 175, 247)(155, 227, 182, 254, 207, 279, 177, 249)(156, 228, 185, 257, 168, 240, 187, 259)(159, 231, 194, 266, 169, 241, 179, 251)(161, 233, 196, 268, 210, 282, 186, 258)(163, 235, 192, 264, 213, 285, 197, 269)(164, 236, 200, 272, 214, 286, 195, 267)(166, 238, 198, 270, 215, 287, 193, 265)(171, 243, 203, 275, 212, 284, 188, 260)(172, 244, 173, 245, 204, 276, 180, 252)(176, 248, 208, 280, 181, 253, 199, 271)(183, 255, 209, 281, 216, 288, 205, 277)(184, 256, 201, 273, 211, 283, 202, 274)
	L = (1, 148)(2, 153)(3, 158)(4, 163)(5, 166)(6, 162)(7, 145)(8, 175)(9, 179)(10, 178)(11, 146)(12, 186)(13, 189)(14, 192)(15, 195)(16, 147)(17, 149)(18, 197)(19, 183)(20, 184)(21, 193)(22, 199)(23, 198)(24, 196)(25, 200)(26, 150)(27, 187)(28, 151)(29, 160)(30, 206)(31, 159)(32, 188)(33, 152)(34, 169)(35, 164)(36, 170)(37, 203)(38, 154)(39, 172)(40, 155)(41, 210)(42, 165)(43, 161)(44, 156)(45, 213)(46, 215)(47, 157)(48, 205)(49, 176)(50, 214)(51, 201)(52, 167)(53, 209)(54, 181)(55, 171)(56, 202)(57, 177)(58, 182)(59, 168)(60, 191)(61, 173)(62, 194)(63, 174)(64, 212)(65, 180)(66, 190)(67, 207)(68, 185)(69, 216)(70, 211)(71, 208)(72, 204)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1712
Graph:: simple bipartite
	v = 42 e = 144 f = 48
	degree seq :: [ 6^24, 8^18 ]

E28.1707 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1 * Y3^-2, (Y3 * Y1)^2, (R * Y3)^2, Y2^4, (Y2^-1, Y1), (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * R * Y2^-1)^2, Y3 * Y2^-2 * Y3^-1 * Y2^-2, Y3 * Y2 * R * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * R, (Y3 * Y2)^6 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 8, 80, 13, 85)(4, 76, 9, 81, 7, 79)(6, 78, 10, 82, 17, 89)(11, 83, 22, 94, 28, 100)(12, 84, 23, 95, 14, 86)(15, 87, 24, 96, 20, 92)(16, 88, 25, 97, 21, 93)(18, 90, 26, 98, 19, 91)(27, 99, 40, 112, 29, 101)(30, 102, 41, 113, 32, 104)(31, 103, 42, 114, 33, 105)(34, 106, 38, 110, 35, 107)(36, 108, 39, 111, 37, 109)(43, 115, 47, 119, 44, 116)(45, 117, 48, 120, 46, 118)(49, 121, 53, 125, 51, 123)(50, 122, 54, 126, 52, 124)(55, 127, 59, 131, 57, 129)(56, 128, 60, 132, 58, 130)(61, 133, 65, 137, 62, 134)(63, 135, 66, 138, 64, 136)(67, 139, 71, 143, 68, 140)(69, 141, 72, 144, 70, 142)(145, 217, 147, 219, 155, 227, 150, 222)(146, 218, 152, 224, 166, 238, 154, 226)(148, 220, 159, 231, 171, 243, 160, 232)(149, 221, 157, 229, 172, 244, 161, 233)(151, 223, 164, 236, 173, 245, 165, 237)(153, 225, 168, 240, 184, 256, 169, 241)(156, 228, 174, 246, 162, 234, 175, 247)(158, 230, 176, 248, 163, 235, 177, 249)(167, 239, 185, 257, 170, 242, 186, 258)(178, 250, 193, 265, 180, 252, 194, 266)(179, 251, 195, 267, 181, 253, 196, 268)(182, 254, 197, 269, 183, 255, 198, 270)(187, 259, 199, 271, 189, 261, 200, 272)(188, 260, 201, 273, 190, 262, 202, 274)(191, 263, 203, 275, 192, 264, 204, 276)(205, 277, 213, 285, 207, 279, 211, 283)(206, 278, 214, 286, 208, 280, 212, 284)(209, 281, 216, 288, 210, 282, 215, 287)
	L = (1, 148)(2, 153)(3, 156)(4, 146)(5, 151)(6, 162)(7, 145)(8, 167)(9, 149)(10, 170)(11, 171)(12, 152)(13, 158)(14, 147)(15, 178)(16, 180)(17, 163)(18, 154)(19, 150)(20, 179)(21, 181)(22, 184)(23, 157)(24, 182)(25, 183)(26, 161)(27, 166)(28, 173)(29, 155)(30, 187)(31, 189)(32, 188)(33, 190)(34, 168)(35, 159)(36, 169)(37, 160)(38, 164)(39, 165)(40, 172)(41, 191)(42, 192)(43, 185)(44, 174)(45, 186)(46, 175)(47, 176)(48, 177)(49, 205)(50, 207)(51, 206)(52, 208)(53, 209)(54, 210)(55, 211)(56, 213)(57, 212)(58, 214)(59, 215)(60, 216)(61, 197)(62, 193)(63, 198)(64, 194)(65, 195)(66, 196)(67, 203)(68, 199)(69, 204)(70, 200)(71, 201)(72, 202)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1711
Graph:: simple bipartite
	v = 42 e = 144 f = 48
	degree seq :: [ 6^24, 8^18 ]

E28.1708 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y1^-1 * Y3^-1)^2, Y2^4, (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y3^-1 * Y2 * Y3^-1, Y1^-1 * Y2 * Y3 * Y2 * Y3, Y2 * Y3^-1 * Y1^-1 * Y3 * Y2^-1 * Y1, Y3^-2 * Y1 * Y3^2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^2, Y1^-1 * R * Y2 * Y1^-1 * R * Y2^-1, Y3^-1 * Y2 * Y3 * Y1 * Y2 * Y1^-1, Y3 * Y2^-1 * Y3^-2 * Y2 * Y3, Y1 * Y2^2 * Y1^-1 * Y2^-2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 12, 84, 15, 87)(4, 76, 17, 89, 20, 92)(6, 78, 25, 97, 27, 99)(7, 79, 29, 101, 9, 81)(8, 80, 33, 105, 36, 108)(10, 82, 41, 113, 43, 115)(11, 83, 45, 117, 23, 95)(13, 85, 34, 106, 51, 123)(14, 86, 35, 107, 31, 103)(16, 88, 37, 109, 48, 120)(18, 90, 38, 110, 58, 130)(19, 91, 39, 111, 59, 131)(21, 93, 40, 112, 56, 128)(22, 94, 61, 133, 53, 125)(24, 96, 62, 134, 60, 132)(26, 98, 42, 114, 30, 102)(28, 100, 44, 116, 63, 135)(32, 104, 46, 118, 49, 121)(47, 119, 64, 136, 69, 141)(50, 122, 66, 138, 57, 129)(52, 124, 68, 140, 65, 137)(54, 126, 70, 142, 72, 144)(55, 127, 67, 139, 71, 143)(145, 217, 147, 219, 157, 229, 150, 222)(146, 218, 152, 224, 178, 250, 154, 226)(148, 220, 162, 234, 194, 266, 165, 237)(149, 221, 166, 238, 195, 267, 168, 240)(151, 223, 174, 246, 196, 268, 175, 247)(153, 225, 182, 254, 209, 281, 184, 256)(155, 227, 170, 242, 198, 270, 158, 230)(156, 228, 191, 263, 169, 241, 193, 265)(159, 231, 199, 271, 171, 243, 183, 255)(160, 232, 164, 236, 172, 244, 201, 273)(161, 233, 186, 258, 210, 282, 179, 251)(163, 235, 197, 269, 215, 287, 204, 276)(167, 239, 202, 274, 216, 288, 200, 272)(173, 245, 188, 260, 212, 284, 181, 253)(176, 248, 177, 249, 208, 280, 185, 257)(180, 252, 211, 283, 187, 259, 203, 275)(189, 261, 207, 279, 214, 286, 192, 264)(190, 262, 205, 277, 213, 285, 206, 278)
	L = (1, 148)(2, 153)(3, 158)(4, 163)(5, 167)(6, 170)(7, 145)(8, 179)(9, 183)(10, 186)(11, 146)(12, 192)(13, 194)(14, 197)(15, 200)(16, 147)(17, 149)(18, 169)(19, 189)(20, 190)(21, 156)(22, 175)(23, 203)(24, 174)(25, 207)(26, 204)(27, 202)(28, 150)(29, 193)(30, 187)(31, 180)(32, 151)(33, 160)(34, 209)(35, 159)(36, 165)(37, 152)(38, 185)(39, 164)(40, 177)(41, 172)(42, 171)(43, 162)(44, 154)(45, 176)(46, 155)(47, 210)(48, 166)(49, 161)(50, 215)(51, 216)(52, 157)(53, 184)(54, 178)(55, 201)(56, 205)(57, 213)(58, 206)(59, 173)(60, 182)(61, 181)(62, 188)(63, 168)(64, 196)(65, 199)(66, 195)(67, 212)(68, 191)(69, 198)(70, 208)(71, 214)(72, 211)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1713
Graph:: simple bipartite
	v = 42 e = 144 f = 48
	degree seq :: [ 6^24, 8^18 ]

E28.1709 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y3 * Y1)^2, (R * Y3)^2, Y2^4, (R * Y1)^2, Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1, Y2 * Y3^-1 * Y2 * Y3^-1 * Y1, Y1 * Y3 * Y2 * Y3^-1 * Y1^-1 * Y2, Y3^-3 * Y1^-1 * Y3 * Y1^-1, Y2^-2 * Y1 * Y2^-2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3^-2 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y1 * Y3^-1 * Y2 * Y3 * Y1^-1, Y2 * R * Y3^2 * Y1 * R * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 12, 84, 15, 87)(4, 76, 17, 89, 20, 92)(6, 78, 25, 97, 27, 99)(7, 79, 29, 101, 9, 81)(8, 80, 33, 105, 36, 108)(10, 82, 40, 112, 42, 114)(11, 83, 43, 115, 23, 95)(13, 85, 34, 106, 50, 122)(14, 86, 35, 107, 53, 125)(16, 88, 21, 93, 39, 111)(18, 90, 37, 109, 28, 100)(19, 91, 38, 110, 60, 132)(22, 94, 63, 135, 52, 124)(24, 96, 59, 131, 61, 133)(26, 98, 41, 113, 62, 134)(30, 102, 44, 116, 57, 129)(31, 103, 45, 117, 58, 130)(32, 104, 46, 118, 48, 120)(47, 119, 64, 136, 70, 142)(49, 121, 69, 141, 72, 144)(51, 123, 54, 126, 65, 137)(55, 127, 68, 140, 71, 143)(56, 128, 66, 138, 67, 139)(145, 217, 147, 219, 157, 229, 150, 222)(146, 218, 152, 224, 178, 250, 154, 226)(148, 220, 162, 234, 193, 265, 165, 237)(149, 221, 166, 238, 194, 266, 168, 240)(151, 223, 174, 246, 195, 267, 175, 247)(153, 225, 181, 253, 209, 281, 183, 255)(155, 227, 188, 260, 210, 282, 189, 261)(156, 228, 191, 263, 169, 241, 192, 264)(158, 230, 173, 245, 170, 242, 198, 270)(159, 231, 199, 271, 171, 243, 182, 254)(160, 232, 167, 239, 172, 244, 200, 272)(161, 233, 201, 273, 213, 285, 202, 274)(163, 235, 196, 268, 215, 287, 205, 277)(164, 236, 206, 278, 216, 288, 197, 269)(176, 248, 177, 249, 208, 280, 184, 256)(179, 251, 187, 259, 185, 257, 211, 283)(180, 252, 212, 284, 186, 258, 204, 276)(190, 262, 207, 279, 214, 286, 203, 275)
	L = (1, 148)(2, 153)(3, 158)(4, 163)(5, 167)(6, 170)(7, 145)(8, 179)(9, 182)(10, 185)(11, 146)(12, 183)(13, 193)(14, 196)(15, 175)(16, 147)(17, 149)(18, 154)(19, 187)(20, 190)(21, 152)(22, 197)(23, 204)(24, 206)(25, 181)(26, 205)(27, 174)(28, 150)(29, 192)(30, 203)(31, 207)(32, 151)(33, 160)(34, 209)(35, 159)(36, 189)(37, 168)(38, 164)(39, 166)(40, 172)(41, 171)(42, 188)(43, 176)(44, 169)(45, 156)(46, 155)(47, 213)(48, 161)(49, 215)(50, 200)(51, 157)(52, 202)(53, 180)(54, 191)(55, 216)(56, 212)(57, 184)(58, 177)(59, 162)(60, 173)(61, 201)(62, 186)(63, 165)(64, 195)(65, 199)(66, 178)(67, 208)(68, 198)(69, 194)(70, 210)(71, 211)(72, 214)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1714
Graph:: simple bipartite
	v = 42 e = 144 f = 48
	degree seq :: [ 6^24, 8^18 ]

E28.1710 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^3 * Y2, (Y2 * R)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1 * Y3^-1)^2, (Y2 * Y3^-1 * Y1^-1)^2, Y1^6, Y1^-1 * Y3 * Y1^2 * Y3^-1 * Y1^-1, Y2 * Y1^2 * Y2 * Y1^-2, (Y3^-1 * Y1^-1)^4, Y2 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y2 * Y1^-1, (Y2 * Y1^-1 * Y2 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 7, 79, 23, 95, 19, 91, 5, 77)(3, 75, 11, 83, 24, 96, 57, 129, 42, 114, 13, 85)(4, 76, 15, 87, 25, 97, 60, 132, 47, 119, 16, 88)(6, 78, 21, 93, 26, 98, 61, 133, 52, 124, 22, 94)(8, 80, 27, 99, 54, 126, 50, 122, 17, 89, 29, 101)(9, 81, 31, 103, 55, 127, 51, 123, 18, 90, 32, 104)(10, 82, 33, 105, 56, 128, 53, 125, 20, 92, 34, 106)(12, 84, 38, 110, 58, 130, 30, 102, 69, 141, 39, 111)(14, 86, 44, 116, 59, 131, 49, 121, 65, 137, 28, 100)(35, 107, 62, 134, 46, 118, 71, 143, 40, 112, 66, 138)(36, 108, 68, 140, 48, 120, 64, 136, 41, 113, 70, 142)(37, 109, 72, 144, 45, 117, 67, 139, 43, 115, 63, 135)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 156, 228)(149, 221, 161, 233)(150, 222, 158, 230)(151, 223, 168, 240)(153, 225, 172, 244)(154, 226, 174, 246)(155, 227, 179, 251)(157, 229, 184, 256)(159, 231, 187, 259)(160, 232, 189, 261)(162, 234, 193, 265)(163, 235, 186, 258)(164, 236, 182, 254)(165, 237, 192, 264)(166, 238, 180, 252)(167, 239, 198, 270)(169, 241, 202, 274)(170, 242, 203, 275)(171, 243, 206, 278)(173, 245, 210, 282)(175, 247, 212, 284)(176, 248, 214, 286)(177, 249, 216, 288)(178, 250, 207, 279)(181, 253, 204, 276)(183, 255, 200, 272)(185, 257, 205, 277)(188, 260, 199, 271)(190, 262, 201, 273)(191, 263, 213, 285)(194, 266, 215, 287)(195, 267, 208, 280)(196, 268, 209, 281)(197, 269, 211, 283)
	L = (1, 148)(2, 153)(3, 156)(4, 158)(5, 162)(6, 145)(7, 169)(8, 172)(9, 174)(10, 146)(11, 180)(12, 150)(13, 185)(14, 147)(15, 184)(16, 190)(17, 193)(18, 182)(19, 191)(20, 149)(21, 189)(22, 181)(23, 199)(24, 202)(25, 203)(26, 151)(27, 207)(28, 154)(29, 211)(30, 152)(31, 210)(32, 215)(33, 214)(34, 208)(35, 166)(36, 204)(37, 155)(38, 161)(39, 198)(40, 205)(41, 159)(42, 213)(43, 157)(44, 200)(45, 201)(46, 165)(47, 209)(48, 160)(49, 164)(50, 216)(51, 206)(52, 163)(53, 212)(54, 188)(55, 183)(56, 167)(57, 192)(58, 170)(59, 168)(60, 179)(61, 187)(62, 178)(63, 195)(64, 171)(65, 186)(66, 197)(67, 175)(68, 173)(69, 196)(70, 194)(71, 177)(72, 176)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.1705
Graph:: simple bipartite
	v = 48 e = 144 f = 42
	degree seq :: [ 4^36, 12^12 ]

E28.1711 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^-3 * Y2, Y3 * Y2 * Y3^-1 * Y2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y1^6, Y3^-1 * Y1 * Y3 * Y2 * Y1^-1 * Y2, Y1 * Y3^2 * Y1^-1 * Y3^-2, (Y3 * Y1^-2)^2, Y3^-1 * Y1^-2 * Y2 * Y1^-2, (Y3^-1 * Y1 * Y2 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 7, 79, 23, 95, 19, 91, 5, 77)(3, 75, 11, 83, 35, 107, 55, 127, 25, 97, 13, 85)(4, 76, 15, 87, 44, 116, 56, 128, 26, 98, 16, 88)(6, 78, 21, 93, 47, 119, 53, 125, 24, 96, 22, 94)(8, 80, 27, 99, 20, 92, 48, 120, 50, 122, 29, 101)(9, 81, 31, 103, 17, 89, 45, 117, 51, 123, 32, 104)(10, 82, 33, 105, 18, 90, 46, 118, 49, 121, 34, 106)(12, 84, 28, 100, 52, 124, 68, 140, 64, 136, 39, 111)(14, 86, 30, 102, 54, 126, 69, 141, 63, 135, 43, 115)(36, 108, 57, 129, 42, 114, 62, 134, 72, 144, 65, 137)(37, 109, 58, 130, 40, 112, 60, 132, 70, 142, 66, 138)(38, 110, 59, 131, 41, 113, 61, 133, 71, 143, 67, 139)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 156, 228)(149, 221, 161, 233)(150, 222, 158, 230)(151, 223, 168, 240)(153, 225, 172, 244)(154, 226, 174, 246)(155, 227, 180, 252)(157, 229, 184, 256)(159, 231, 181, 253)(160, 232, 185, 257)(162, 234, 183, 255)(163, 235, 188, 260)(164, 236, 187, 259)(165, 237, 182, 254)(166, 238, 186, 258)(167, 239, 193, 265)(169, 241, 196, 268)(170, 242, 198, 270)(171, 243, 201, 273)(173, 245, 204, 276)(175, 247, 202, 274)(176, 248, 205, 277)(177, 249, 203, 275)(178, 250, 206, 278)(179, 251, 207, 279)(189, 261, 209, 281)(190, 262, 210, 282)(191, 263, 208, 280)(192, 264, 211, 283)(194, 266, 212, 284)(195, 267, 213, 285)(197, 269, 214, 286)(199, 271, 215, 287)(200, 272, 216, 288)
	L = (1, 148)(2, 153)(3, 156)(4, 158)(5, 162)(6, 145)(7, 169)(8, 172)(9, 174)(10, 146)(11, 181)(12, 150)(13, 185)(14, 147)(15, 182)(16, 186)(17, 183)(18, 187)(19, 191)(20, 149)(21, 180)(22, 184)(23, 194)(24, 196)(25, 198)(26, 151)(27, 202)(28, 154)(29, 205)(30, 152)(31, 203)(32, 206)(33, 201)(34, 204)(35, 163)(36, 159)(37, 165)(38, 155)(39, 164)(40, 160)(41, 166)(42, 157)(43, 161)(44, 208)(45, 210)(46, 211)(47, 207)(48, 209)(49, 212)(50, 213)(51, 167)(52, 170)(53, 215)(54, 168)(55, 216)(56, 214)(57, 175)(58, 177)(59, 171)(60, 176)(61, 178)(62, 173)(63, 188)(64, 179)(65, 190)(66, 192)(67, 189)(68, 195)(69, 193)(70, 199)(71, 200)(72, 197)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.1707
Graph:: simple bipartite
	v = 48 e = 144 f = 42
	degree seq :: [ 4^36, 12^12 ]

E28.1712 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2 * Y1^2, (R * Y1)^2, (R * Y3)^2, (Y1^-1 * Y3 * Y1^-1)^2, (Y2 * Y3^-1)^3, Y3^-1 * Y2 * Y1^-1 * Y2 * Y3 * Y1, (R * Y3^-1 * Y2)^2, Y3^-2 * Y1^4, (R * Y2 * Y3^-1)^2, Y1^-2 * Y2 * Y3^-2 * Y2, Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 7, 79, 23, 95, 17, 89, 5, 77)(3, 75, 11, 83, 24, 96, 52, 124, 39, 111, 13, 85)(4, 76, 15, 87, 6, 78, 21, 93, 25, 97, 18, 90)(8, 80, 26, 98, 51, 123, 49, 121, 19, 91, 28, 100)(9, 81, 30, 102, 10, 82, 33, 105, 20, 92, 32, 104)(12, 84, 27, 99, 14, 86, 29, 101, 53, 125, 40, 112)(16, 88, 31, 103, 22, 94, 34, 106, 54, 126, 45, 117)(35, 107, 55, 127, 48, 120, 65, 137, 41, 113, 59, 131)(36, 108, 56, 128, 37, 109, 57, 129, 42, 114, 60, 132)(38, 110, 67, 139, 43, 115, 68, 140, 46, 118, 69, 141)(44, 116, 62, 134, 50, 122, 66, 138, 47, 119, 64, 136)(58, 130, 70, 142, 61, 133, 71, 143, 63, 135, 72, 144)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 160, 232)(149, 221, 163, 235)(150, 222, 166, 238)(151, 223, 168, 240)(153, 225, 175, 247)(154, 226, 178, 250)(155, 227, 179, 251)(156, 228, 182, 254)(157, 229, 185, 257)(158, 230, 187, 259)(159, 231, 188, 260)(161, 233, 183, 255)(162, 234, 191, 263)(164, 236, 189, 261)(165, 237, 194, 266)(167, 239, 195, 267)(169, 241, 198, 270)(170, 242, 199, 271)(171, 243, 202, 274)(172, 244, 203, 275)(173, 245, 205, 277)(174, 246, 206, 278)(176, 248, 208, 280)(177, 249, 210, 282)(180, 252, 211, 283)(181, 253, 212, 284)(184, 256, 207, 279)(186, 258, 213, 285)(190, 262, 197, 269)(192, 264, 196, 268)(193, 265, 209, 281)(200, 272, 214, 286)(201, 273, 215, 287)(204, 276, 216, 288)
	L = (1, 148)(2, 153)(3, 156)(4, 161)(5, 164)(6, 145)(7, 150)(8, 171)(9, 149)(10, 146)(11, 180)(12, 183)(13, 186)(14, 147)(15, 185)(16, 187)(17, 169)(18, 192)(19, 184)(20, 167)(21, 179)(22, 190)(23, 154)(24, 158)(25, 151)(26, 200)(27, 163)(28, 204)(29, 152)(30, 203)(31, 205)(32, 209)(33, 199)(34, 207)(35, 159)(36, 157)(37, 155)(38, 166)(39, 197)(40, 195)(41, 162)(42, 196)(43, 198)(44, 212)(45, 202)(46, 160)(47, 211)(48, 165)(49, 201)(50, 213)(51, 173)(52, 181)(53, 168)(54, 182)(55, 174)(56, 172)(57, 170)(58, 178)(59, 176)(60, 193)(61, 189)(62, 215)(63, 175)(64, 214)(65, 177)(66, 216)(67, 194)(68, 191)(69, 188)(70, 210)(71, 208)(72, 206)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.1706
Graph:: simple bipartite
	v = 48 e = 144 f = 42
	degree seq :: [ 4^36, 12^12 ]

E28.1713 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y2 * Y1^2 * Y3^-1, Y1^-1 * Y2 * Y3 * Y1^-1, Y3 * Y1^-2 * Y2, (R * Y1)^2, (R * Y3)^2, Y2 * Y3 * Y1^4, Y3^6, (R * Y2 * Y3^-1)^2, Y3^2 * Y2 * Y3^-2 * Y2, Y1 * Y3 * Y2 * Y1 * Y3^-2, Y3^-1 * Y1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1^-1, (Y3^-1 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 7, 79, 23, 95, 18, 90, 5, 77)(3, 75, 11, 83, 4, 76, 14, 86, 39, 111, 12, 84)(6, 78, 20, 92, 44, 116, 71, 143, 41, 113, 21, 93)(8, 80, 26, 98, 9, 81, 29, 101, 63, 135, 27, 99)(10, 82, 32, 104, 17, 89, 46, 118, 65, 137, 33, 105)(13, 85, 28, 100, 56, 128, 49, 121, 22, 94, 34, 106)(15, 87, 30, 102, 16, 88, 31, 103, 58, 130, 43, 115)(19, 91, 47, 119, 53, 125, 72, 144, 67, 139, 48, 120)(24, 96, 54, 126, 25, 97, 57, 129, 45, 117, 55, 127)(35, 107, 59, 131, 36, 108, 60, 132, 50, 122, 68, 140)(37, 109, 61, 133, 38, 110, 62, 134, 51, 123, 69, 141)(40, 112, 64, 136, 42, 114, 66, 138, 52, 124, 70, 142)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 159, 231)(149, 221, 154, 226)(150, 222, 162, 234)(151, 223, 168, 240)(153, 225, 174, 246)(155, 227, 179, 251)(156, 228, 181, 253)(157, 229, 183, 255)(158, 230, 184, 256)(160, 232, 169, 241)(161, 233, 187, 259)(163, 235, 167, 239)(164, 236, 194, 266)(165, 237, 195, 267)(166, 238, 185, 257)(170, 242, 203, 275)(171, 243, 205, 277)(172, 244, 207, 279)(173, 245, 208, 280)(175, 247, 197, 269)(176, 248, 212, 284)(177, 249, 213, 285)(178, 250, 209, 281)(180, 252, 198, 270)(182, 254, 199, 271)(186, 258, 201, 273)(188, 260, 202, 274)(189, 261, 200, 272)(190, 262, 214, 286)(191, 263, 204, 276)(192, 264, 206, 278)(193, 265, 211, 283)(196, 268, 215, 287)(210, 282, 216, 288)
	L = (1, 148)(2, 153)(3, 151)(4, 160)(5, 161)(6, 145)(7, 169)(8, 167)(9, 175)(10, 146)(11, 180)(12, 182)(13, 147)(14, 186)(15, 183)(16, 189)(17, 174)(18, 188)(19, 149)(20, 179)(21, 181)(22, 150)(23, 197)(24, 162)(25, 202)(26, 204)(27, 206)(28, 152)(29, 210)(30, 207)(31, 211)(32, 203)(33, 205)(34, 154)(35, 158)(36, 201)(37, 155)(38, 198)(39, 200)(40, 156)(41, 157)(42, 199)(43, 209)(44, 159)(45, 166)(46, 208)(47, 212)(48, 213)(49, 163)(50, 215)(51, 164)(52, 165)(53, 187)(54, 194)(55, 195)(56, 168)(57, 196)(58, 185)(59, 173)(60, 216)(61, 170)(62, 191)(63, 193)(64, 171)(65, 172)(66, 192)(67, 178)(68, 190)(69, 176)(70, 177)(71, 184)(72, 214)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.1708
Graph:: simple bipartite
	v = 48 e = 144 f = 42
	degree seq :: [ 4^36, 12^12 ]

E28.1714 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3 * Y2 * Y1^-2, (R * Y1)^2, (R * Y3)^2, Y3^-2 * Y1 * Y2 * Y3 * Y1, Y1^6, (R * Y2 * Y3^-1)^2, Y3^6, Y3^2 * Y2 * Y3^-2 * Y2, Y3^-1 * Y2 * Y1 * Y3 * Y1^2 * Y3^-1 * Y1^-1, Y3 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1 * Y3^2 * Y1 * Y3^-1 * Y2 * Y3, Y2 * Y1^2 * Y3^-3 * Y1^-2, Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1^-1, (Y3^-1 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 7, 79, 23, 95, 14, 86, 5, 77)(3, 75, 11, 83, 35, 107, 21, 93, 6, 78, 13, 85)(4, 76, 15, 87, 39, 111, 58, 130, 25, 97, 17, 89)(8, 80, 26, 98, 59, 131, 33, 105, 10, 82, 28, 100)(9, 81, 29, 101, 63, 135, 72, 144, 53, 125, 31, 103)(12, 84, 27, 99, 16, 88, 30, 102, 55, 127, 40, 112)(18, 90, 48, 120, 68, 140, 50, 122, 19, 91, 49, 121)(20, 92, 32, 104, 57, 129, 51, 123, 22, 94, 34, 106)(24, 96, 54, 126, 46, 118, 71, 143, 43, 115, 56, 128)(36, 108, 60, 132, 44, 116, 66, 138, 38, 110, 62, 134)(37, 109, 61, 133, 45, 117, 67, 139, 52, 124, 70, 142)(41, 113, 64, 136, 47, 119, 69, 141, 42, 114, 65, 137)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 151, 223)(149, 221, 162, 234)(150, 222, 164, 236)(153, 225, 167, 239)(154, 226, 176, 248)(155, 227, 180, 252)(156, 228, 179, 251)(157, 229, 185, 257)(158, 230, 168, 240)(159, 231, 188, 260)(160, 232, 183, 255)(161, 233, 191, 263)(163, 235, 178, 250)(165, 237, 181, 253)(166, 238, 187, 259)(169, 241, 201, 273)(170, 242, 204, 276)(171, 243, 203, 275)(172, 244, 208, 280)(173, 245, 210, 282)(174, 246, 207, 279)(175, 247, 213, 285)(177, 249, 205, 277)(182, 254, 198, 270)(184, 256, 212, 284)(186, 258, 200, 272)(189, 261, 202, 274)(190, 262, 199, 271)(192, 264, 206, 278)(193, 265, 209, 281)(194, 266, 214, 286)(195, 267, 197, 269)(196, 268, 215, 287)(211, 283, 216, 288)
	L = (1, 148)(2, 153)(3, 156)(4, 160)(5, 152)(6, 145)(7, 168)(8, 171)(9, 174)(10, 146)(11, 181)(12, 183)(13, 180)(14, 147)(15, 189)(16, 190)(17, 188)(18, 184)(19, 149)(20, 169)(21, 185)(22, 150)(23, 162)(24, 199)(25, 151)(26, 205)(27, 207)(28, 204)(29, 211)(30, 212)(31, 210)(32, 197)(33, 208)(34, 154)(35, 164)(36, 159)(37, 202)(38, 155)(39, 201)(40, 203)(41, 161)(42, 157)(43, 158)(44, 198)(45, 215)(46, 166)(47, 200)(48, 214)(49, 206)(50, 209)(51, 163)(52, 165)(53, 167)(54, 196)(55, 179)(56, 182)(57, 187)(58, 191)(59, 176)(60, 173)(61, 216)(62, 170)(63, 195)(64, 175)(65, 172)(66, 192)(67, 194)(68, 178)(69, 193)(70, 177)(71, 186)(72, 213)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.1709
Graph:: bipartite
	v = 48 e = 144 f = 42
	degree seq :: [ 4^36, 12^12 ]

E28.1715 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1^-1 * Y3 * Y1^-1)^2, (R * Y2 * Y3)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y1^6, Y3 * Y1 * Y2 * Y3 * Y1^-1 * Y2, (Y3 * Y2)^3, Y3 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1, (Y3 * Y1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 6, 78, 18, 90, 17, 89, 5, 77)(3, 75, 9, 81, 27, 99, 43, 115, 19, 91, 11, 83)(4, 76, 12, 84, 34, 106, 45, 117, 20, 92, 14, 86)(7, 79, 21, 93, 15, 87, 38, 110, 40, 112, 23, 95)(8, 80, 24, 96, 16, 88, 39, 111, 41, 113, 26, 98)(10, 82, 25, 97, 42, 114, 62, 134, 53, 125, 31, 103)(13, 85, 22, 94, 44, 116, 61, 133, 59, 131, 36, 108)(28, 100, 47, 119, 32, 104, 50, 122, 64, 136, 55, 127)(29, 101, 46, 118, 33, 105, 49, 121, 65, 137, 56, 128)(30, 102, 54, 126, 69, 141, 72, 144, 63, 135, 57, 129)(35, 107, 51, 123, 37, 109, 52, 124, 66, 138, 60, 132)(48, 120, 67, 139, 58, 130, 70, 142, 71, 143, 68, 140)(145, 217, 147, 219)(146, 218, 151, 223)(148, 220, 157, 229)(149, 221, 159, 231)(150, 222, 163, 235)(152, 224, 169, 241)(153, 225, 172, 244)(154, 226, 174, 246)(155, 227, 176, 248)(156, 228, 173, 245)(158, 230, 177, 249)(160, 232, 175, 247)(161, 233, 171, 243)(162, 234, 184, 256)(164, 236, 188, 260)(165, 237, 190, 262)(166, 238, 192, 264)(167, 239, 193, 265)(168, 240, 191, 263)(170, 242, 194, 266)(178, 250, 203, 275)(179, 251, 198, 270)(180, 252, 202, 274)(181, 253, 201, 273)(182, 254, 200, 272)(183, 255, 199, 271)(185, 257, 206, 278)(186, 258, 207, 279)(187, 259, 208, 280)(189, 261, 209, 281)(195, 267, 211, 283)(196, 268, 212, 284)(197, 269, 213, 285)(204, 276, 214, 286)(205, 277, 215, 287)(210, 282, 216, 288)
	L = (1, 148)(2, 152)(3, 154)(4, 145)(5, 160)(6, 164)(7, 166)(8, 146)(9, 173)(10, 147)(11, 177)(12, 179)(13, 174)(14, 181)(15, 180)(16, 149)(17, 178)(18, 185)(19, 186)(20, 150)(21, 191)(22, 151)(23, 194)(24, 195)(25, 192)(26, 196)(27, 197)(28, 198)(29, 153)(30, 157)(31, 202)(32, 201)(33, 155)(34, 161)(35, 156)(36, 159)(37, 158)(38, 199)(39, 204)(40, 205)(41, 162)(42, 163)(43, 209)(44, 207)(45, 210)(46, 211)(47, 165)(48, 169)(49, 212)(50, 167)(51, 168)(52, 170)(53, 171)(54, 172)(55, 182)(56, 214)(57, 176)(58, 175)(59, 213)(60, 183)(61, 184)(62, 215)(63, 188)(64, 216)(65, 187)(66, 189)(67, 190)(68, 193)(69, 203)(70, 200)(71, 206)(72, 208)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.1702
Graph:: simple bipartite
	v = 48 e = 144 f = 42
	degree seq :: [ 4^36, 12^12 ]

E28.1716 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3)^2, (Y1^2 * Y3)^2, (Y1 * Y2 * Y1)^2, (Y3 * Y2)^3, Y1^6, (Y3 * Y2 * Y1^-1)^2, Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1^-2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y3 * Y1^-1, (Y3 * Y1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 6, 78, 18, 90, 17, 89, 5, 77)(3, 75, 9, 81, 27, 99, 46, 118, 19, 91, 11, 83)(4, 76, 12, 84, 35, 107, 48, 120, 20, 92, 14, 86)(7, 79, 21, 93, 15, 87, 40, 112, 43, 115, 23, 95)(8, 80, 24, 96, 16, 88, 42, 114, 44, 116, 26, 98)(10, 82, 30, 102, 45, 117, 25, 97, 56, 128, 32, 104)(13, 85, 37, 109, 47, 119, 41, 113, 52, 124, 22, 94)(28, 100, 57, 129, 33, 105, 50, 122, 67, 139, 54, 126)(29, 101, 53, 125, 34, 106, 64, 136, 38, 110, 49, 121)(31, 103, 61, 133, 71, 143, 63, 135, 66, 138, 59, 131)(36, 108, 55, 127, 39, 111, 58, 130, 68, 140, 65, 137)(51, 123, 70, 142, 60, 132, 72, 144, 62, 134, 69, 141)(145, 217, 147, 219)(146, 218, 151, 223)(148, 220, 157, 229)(149, 221, 159, 231)(150, 222, 163, 235)(152, 224, 169, 241)(153, 225, 172, 244)(154, 226, 175, 247)(155, 227, 177, 249)(156, 228, 178, 250)(158, 230, 182, 254)(160, 232, 174, 246)(161, 233, 171, 243)(162, 234, 187, 259)(164, 236, 191, 263)(165, 237, 193, 265)(166, 238, 195, 267)(167, 239, 197, 269)(168, 240, 198, 270)(170, 242, 201, 273)(173, 245, 192, 264)(176, 248, 188, 260)(179, 251, 196, 268)(180, 252, 207, 279)(181, 253, 206, 278)(183, 255, 205, 277)(184, 256, 208, 280)(185, 257, 204, 276)(186, 258, 194, 266)(189, 261, 210, 282)(190, 262, 211, 283)(199, 271, 216, 288)(200, 272, 215, 287)(202, 274, 214, 286)(203, 275, 212, 284)(209, 281, 213, 285)
	L = (1, 148)(2, 152)(3, 154)(4, 145)(5, 160)(6, 164)(7, 166)(8, 146)(9, 173)(10, 147)(11, 178)(12, 180)(13, 175)(14, 183)(15, 185)(16, 149)(17, 179)(18, 188)(19, 189)(20, 150)(21, 194)(22, 151)(23, 198)(24, 199)(25, 195)(26, 202)(27, 200)(28, 203)(29, 153)(30, 204)(31, 157)(32, 206)(33, 207)(34, 155)(35, 161)(36, 156)(37, 187)(38, 190)(39, 158)(40, 201)(41, 159)(42, 209)(43, 181)(44, 162)(45, 163)(46, 182)(47, 210)(48, 212)(49, 213)(50, 165)(51, 169)(52, 215)(53, 216)(54, 167)(55, 168)(56, 171)(57, 184)(58, 170)(59, 172)(60, 174)(61, 211)(62, 176)(63, 177)(64, 214)(65, 186)(66, 191)(67, 205)(68, 192)(69, 193)(70, 208)(71, 196)(72, 197)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.1703
Graph:: simple bipartite
	v = 48 e = 144 f = 42
	degree seq :: [ 4^36, 12^12 ]

E28.1717 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3)^2, (Y1 * Y2 * Y1)^2, (Y3 * Y2)^3, Y1^6, (Y2 * Y3 * Y1^-1)^2, (Y3 * Y1^-2)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1 * Y2 * Y1^-1, Y3 * Y2 * Y1^-3 * Y3 * Y2 * Y1^-1, (Y3 * Y1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 6, 78, 18, 90, 17, 89, 5, 77)(3, 75, 9, 81, 27, 99, 46, 118, 19, 91, 11, 83)(4, 76, 12, 84, 34, 106, 48, 120, 20, 92, 14, 86)(7, 79, 21, 93, 15, 87, 40, 112, 43, 115, 23, 95)(8, 80, 24, 96, 16, 88, 41, 113, 44, 116, 26, 98)(10, 82, 30, 102, 45, 117, 42, 114, 57, 129, 25, 97)(13, 85, 37, 109, 47, 119, 22, 94, 51, 123, 38, 110)(28, 100, 54, 126, 32, 104, 55, 127, 67, 139, 50, 122)(29, 101, 60, 132, 33, 105, 49, 121, 35, 107, 53, 125)(31, 103, 62, 134, 70, 142, 59, 131, 66, 138, 63, 135)(36, 108, 56, 128, 39, 111, 58, 130, 68, 140, 64, 136)(52, 124, 71, 143, 65, 137, 69, 141, 61, 133, 72, 144)(145, 217, 147, 219)(146, 218, 151, 223)(148, 220, 157, 229)(149, 221, 159, 231)(150, 222, 163, 235)(152, 224, 169, 241)(153, 225, 172, 244)(154, 226, 175, 247)(155, 227, 176, 248)(156, 228, 179, 251)(158, 230, 173, 245)(160, 232, 186, 258)(161, 233, 171, 243)(162, 234, 187, 259)(164, 236, 191, 263)(165, 237, 193, 265)(166, 238, 196, 268)(167, 239, 197, 269)(168, 240, 199, 271)(170, 242, 194, 266)(174, 246, 188, 260)(177, 249, 192, 264)(178, 250, 195, 267)(180, 252, 207, 279)(181, 253, 209, 281)(182, 254, 205, 277)(183, 255, 203, 275)(184, 256, 204, 276)(185, 257, 198, 270)(189, 261, 210, 282)(190, 262, 211, 283)(200, 272, 216, 288)(201, 273, 214, 286)(202, 274, 213, 285)(206, 278, 212, 284)(208, 280, 215, 287)
	L = (1, 148)(2, 152)(3, 154)(4, 145)(5, 160)(6, 164)(7, 166)(8, 146)(9, 173)(10, 147)(11, 177)(12, 180)(13, 175)(14, 183)(15, 181)(16, 149)(17, 178)(18, 188)(19, 189)(20, 150)(21, 194)(22, 151)(23, 198)(24, 200)(25, 196)(26, 202)(27, 201)(28, 203)(29, 153)(30, 205)(31, 157)(32, 206)(33, 155)(34, 161)(35, 190)(36, 156)(37, 159)(38, 187)(39, 158)(40, 199)(41, 208)(42, 209)(43, 182)(44, 162)(45, 163)(46, 179)(47, 210)(48, 212)(49, 213)(50, 165)(51, 214)(52, 169)(53, 215)(54, 167)(55, 184)(56, 168)(57, 171)(58, 170)(59, 172)(60, 216)(61, 174)(62, 176)(63, 211)(64, 185)(65, 186)(66, 191)(67, 207)(68, 192)(69, 193)(70, 195)(71, 197)(72, 204)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.1704
Graph:: simple bipartite
	v = 48 e = 144 f = 42
	degree seq :: [ 4^36, 12^12 ]

E28.1718 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x D24 (small group id <72, 28>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y1), Y3^-3 * Y1, (Y3 * Y2^-1)^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y1^4, Y3^-1 * Y2^2 * Y3 * Y2^-2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-3, Y2^6 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 8, 80, 5, 77)(3, 75, 13, 85, 25, 97, 9, 81)(4, 76, 10, 82, 26, 98, 18, 90)(6, 78, 19, 91, 27, 99, 11, 83)(7, 79, 12, 84, 28, 100, 20, 92)(14, 86, 29, 101, 50, 122, 37, 109)(15, 87, 38, 110, 51, 123, 30, 102)(16, 88, 39, 111, 52, 124, 31, 103)(17, 89, 45, 117, 53, 125, 32, 104)(21, 93, 46, 118, 54, 126, 33, 105)(22, 94, 34, 106, 55, 127, 47, 119)(23, 95, 48, 120, 56, 128, 35, 107)(24, 96, 49, 121, 57, 129, 36, 108)(40, 112, 63, 135, 68, 140, 58, 130)(41, 113, 59, 131, 69, 141, 64, 136)(42, 114, 60, 132, 70, 142, 65, 137)(43, 115, 61, 133, 71, 143, 66, 138)(44, 116, 62, 134, 72, 144, 67, 139)(145, 217, 147, 219, 158, 230, 184, 256, 166, 238, 150, 222)(146, 218, 153, 225, 173, 245, 202, 274, 178, 250, 155, 227)(148, 220, 161, 233, 185, 257, 167, 239, 188, 260, 160, 232)(149, 221, 157, 229, 181, 253, 207, 279, 191, 263, 163, 235)(151, 223, 165, 237, 186, 258, 159, 231, 187, 259, 168, 240)(152, 224, 169, 241, 194, 266, 212, 284, 199, 271, 171, 243)(154, 226, 176, 248, 203, 275, 179, 251, 206, 278, 175, 247)(156, 228, 177, 249, 204, 276, 174, 246, 205, 277, 180, 252)(162, 234, 189, 261, 208, 280, 192, 264, 211, 283, 183, 255)(164, 236, 190, 262, 209, 281, 182, 254, 210, 282, 193, 265)(170, 242, 197, 269, 213, 285, 200, 272, 216, 288, 196, 268)(172, 244, 198, 270, 214, 286, 195, 267, 215, 287, 201, 273)
	L = (1, 148)(2, 154)(3, 159)(4, 156)(5, 162)(6, 165)(7, 145)(8, 170)(9, 174)(10, 172)(11, 177)(12, 146)(13, 182)(14, 185)(15, 183)(16, 147)(17, 184)(18, 151)(19, 190)(20, 149)(21, 192)(22, 188)(23, 150)(24, 189)(25, 195)(26, 164)(27, 198)(28, 152)(29, 203)(30, 160)(31, 153)(32, 202)(33, 167)(34, 206)(35, 155)(36, 161)(37, 208)(38, 196)(39, 157)(40, 168)(41, 204)(42, 158)(43, 166)(44, 205)(45, 207)(46, 200)(47, 211)(48, 163)(49, 197)(50, 213)(51, 175)(52, 169)(53, 212)(54, 179)(55, 216)(56, 171)(57, 176)(58, 180)(59, 214)(60, 173)(61, 178)(62, 215)(63, 193)(64, 186)(65, 181)(66, 191)(67, 187)(68, 201)(69, 209)(70, 194)(71, 199)(72, 210)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.1695
Graph:: simple bipartite
	v = 30 e = 144 f = 60
	degree seq :: [ 8^18, 12^12 ]

E28.1719 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ R^2, Y3^3 * Y1^-1, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (Y2^-1 * Y1^-1)^2, (Y2^-1 * Y3^-1)^2, (Y3 * Y2^-1)^2, Y1^4, (Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, (Y1^-1 * Y3^-1)^3, Y2^6 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 8, 80, 5, 77)(3, 75, 13, 85, 23, 95, 11, 83)(4, 76, 10, 82, 24, 96, 18, 90)(6, 78, 19, 91, 25, 97, 9, 81)(7, 79, 12, 84, 26, 98, 20, 92)(14, 86, 32, 104, 44, 116, 34, 106)(15, 87, 33, 105, 45, 117, 31, 103)(16, 88, 35, 107, 46, 118, 30, 102)(17, 89, 39, 111, 47, 119, 29, 101)(21, 93, 42, 114, 48, 120, 28, 100)(22, 94, 27, 99, 49, 121, 41, 113)(36, 108, 57, 129, 62, 134, 50, 122)(37, 109, 53, 125, 63, 135, 56, 128)(38, 110, 54, 126, 64, 136, 55, 127)(40, 112, 51, 123, 65, 137, 60, 132)(43, 115, 52, 124, 66, 138, 61, 133)(58, 130, 69, 141, 71, 143, 67, 139)(59, 131, 70, 142, 72, 144, 68, 140)(145, 217, 147, 219, 158, 230, 180, 252, 166, 238, 150, 222)(146, 218, 153, 225, 171, 243, 194, 266, 176, 248, 155, 227)(148, 220, 161, 233, 184, 256, 203, 275, 181, 253, 160, 232)(149, 221, 163, 235, 185, 257, 201, 273, 178, 250, 157, 229)(151, 223, 165, 237, 187, 259, 202, 274, 182, 254, 159, 231)(152, 224, 167, 239, 188, 260, 206, 278, 193, 265, 169, 241)(154, 226, 174, 246, 197, 269, 212, 284, 195, 267, 173, 245)(156, 228, 175, 247, 198, 270, 211, 283, 196, 268, 172, 244)(162, 234, 179, 251, 200, 272, 214, 286, 204, 276, 183, 255)(164, 236, 177, 249, 199, 271, 213, 285, 205, 277, 186, 258)(168, 240, 191, 263, 209, 281, 216, 288, 207, 279, 190, 262)(170, 242, 192, 264, 210, 282, 215, 287, 208, 280, 189, 261)
	L = (1, 148)(2, 154)(3, 159)(4, 156)(5, 162)(6, 165)(7, 145)(8, 168)(9, 172)(10, 170)(11, 175)(12, 146)(13, 177)(14, 181)(15, 179)(16, 147)(17, 150)(18, 151)(19, 186)(20, 149)(21, 183)(22, 184)(23, 189)(24, 164)(25, 192)(26, 152)(27, 195)(28, 161)(29, 153)(30, 155)(31, 160)(32, 197)(33, 190)(34, 200)(35, 157)(36, 202)(37, 198)(38, 158)(39, 163)(40, 196)(41, 204)(42, 191)(43, 166)(44, 207)(45, 174)(46, 167)(47, 169)(48, 173)(49, 209)(50, 211)(51, 210)(52, 171)(53, 208)(54, 176)(55, 178)(56, 182)(57, 213)(58, 214)(59, 180)(60, 187)(61, 185)(62, 215)(63, 199)(64, 188)(65, 205)(66, 193)(67, 203)(68, 194)(69, 216)(70, 201)(71, 212)(72, 206)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.1694
Graph:: simple bipartite
	v = 30 e = 144 f = 60
	degree seq :: [ 8^18, 12^12 ]

E28.1720 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ R^2, (R * Y1)^2, (Y2^-1 * Y1^-1)^2, (Y1^-1 * Y2)^2, (Y3^-1 * Y2^-1)^2, (R * Y3)^2, Y1^4, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1 * Y1^-1)^2, Y3^-2 * Y1 * Y3^2 * Y1^-1, Y1^-1 * Y3^-1 * Y1^-2 * Y3 * Y1^-1, Y3 * Y2 * Y3^-2 * Y1 * Y2^-1, Y3^-1 * Y2^-2 * Y1 * Y3 * Y1^-1, (Y3^-1 * Y1^-1)^3, Y2^6 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 8, 80, 5, 77)(3, 75, 13, 85, 29, 101, 11, 83)(4, 76, 17, 89, 30, 102, 20, 92)(6, 78, 21, 93, 31, 103, 9, 81)(7, 79, 26, 98, 32, 104, 27, 99)(10, 82, 36, 108, 22, 94, 39, 111)(12, 84, 42, 114, 23, 95, 43, 115)(14, 86, 41, 113, 58, 130, 46, 118)(15, 87, 49, 121, 59, 131, 34, 106)(16, 88, 51, 123, 60, 132, 35, 107)(18, 90, 50, 122, 61, 133, 53, 125)(19, 91, 38, 110, 62, 134, 54, 126)(24, 96, 57, 129, 63, 135, 52, 124)(25, 97, 33, 105, 64, 136, 55, 127)(28, 100, 44, 116, 65, 137, 56, 128)(37, 109, 67, 139, 47, 119, 69, 141)(40, 112, 70, 142, 45, 117, 68, 140)(48, 120, 71, 143, 72, 144, 66, 138)(145, 217, 147, 219, 158, 230, 192, 264, 169, 241, 150, 222)(146, 218, 153, 225, 177, 249, 210, 282, 185, 257, 155, 227)(148, 220, 162, 234, 188, 260, 211, 283, 183, 255, 160, 232)(149, 221, 165, 237, 199, 271, 215, 287, 190, 262, 157, 229)(151, 223, 168, 240, 198, 270, 214, 286, 187, 259, 159, 231)(152, 224, 173, 245, 202, 274, 216, 288, 208, 280, 175, 247)(154, 226, 181, 253, 209, 281, 197, 269, 161, 233, 179, 251)(156, 228, 184, 256, 163, 235, 196, 268, 170, 242, 178, 250)(164, 236, 195, 267, 166, 238, 191, 263, 172, 244, 194, 266)(167, 239, 189, 261, 206, 278, 201, 273, 171, 243, 193, 265)(174, 246, 205, 277, 200, 272, 213, 285, 180, 252, 204, 276)(176, 248, 207, 279, 182, 254, 212, 284, 186, 258, 203, 275)
	L = (1, 148)(2, 154)(3, 159)(4, 163)(5, 166)(6, 168)(7, 145)(8, 174)(9, 178)(10, 182)(11, 184)(12, 146)(13, 189)(14, 183)(15, 194)(16, 147)(17, 186)(18, 150)(19, 185)(20, 187)(21, 193)(22, 198)(23, 149)(24, 191)(25, 188)(26, 177)(27, 199)(28, 151)(29, 203)(30, 206)(31, 207)(32, 152)(33, 161)(34, 211)(35, 153)(36, 171)(37, 155)(38, 208)(39, 170)(40, 162)(41, 209)(42, 202)(43, 158)(44, 156)(45, 205)(46, 172)(47, 157)(48, 214)(49, 213)(50, 215)(51, 165)(52, 160)(53, 210)(54, 169)(55, 164)(56, 167)(57, 204)(58, 180)(59, 197)(60, 173)(61, 175)(62, 190)(63, 181)(64, 200)(65, 176)(66, 196)(67, 192)(68, 179)(69, 216)(70, 195)(71, 201)(72, 212)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.1696
Graph:: simple bipartite
	v = 30 e = 144 f = 60
	degree seq :: [ 8^18, 12^12 ]

E28.1721 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ R^2, (Y1^-1 * Y2^-1)^2, (Y2 * Y1^-1)^2, (R * Y3)^2, (Y2^-1 * Y3)^2, (Y3 * Y2)^2, Y1^4, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y2^-1, Y1^-1 * R * Y3^-1 * Y2^-1 * R * Y2^-1, Y1^-1 * Y3^-1 * Y1^-2 * Y3 * Y1^-1, (Y3^-1 * Y2 * Y1^-1)^2, Y3 * Y2^-2 * Y3^2 * Y1^-1, Y3^3 * Y2^-2 * Y1^-1, Y2^6, (Y3^-1 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 8, 80, 5, 77)(3, 75, 13, 85, 29, 101, 11, 83)(4, 76, 17, 89, 30, 102, 20, 92)(6, 78, 21, 93, 31, 103, 9, 81)(7, 79, 26, 98, 32, 104, 27, 99)(10, 82, 36, 108, 22, 94, 39, 111)(12, 84, 42, 114, 23, 95, 43, 115)(14, 86, 41, 113, 58, 130, 46, 118)(15, 87, 50, 122, 59, 131, 52, 124)(16, 88, 53, 125, 60, 132, 54, 126)(18, 90, 47, 119, 61, 133, 37, 109)(19, 91, 38, 110, 62, 134, 49, 121)(24, 96, 45, 117, 63, 135, 40, 112)(25, 97, 33, 105, 64, 136, 55, 127)(28, 100, 44, 116, 65, 137, 57, 129)(34, 106, 67, 139, 56, 128, 68, 140)(35, 107, 69, 141, 51, 123, 70, 142)(48, 120, 71, 143, 72, 144, 66, 138)(145, 217, 147, 219, 158, 230, 192, 264, 169, 241, 150, 222)(146, 218, 153, 225, 177, 249, 210, 282, 185, 257, 155, 227)(148, 220, 162, 234, 183, 255, 213, 285, 188, 260, 160, 232)(149, 221, 165, 237, 199, 271, 215, 287, 190, 262, 157, 229)(151, 223, 168, 240, 187, 259, 211, 283, 193, 265, 159, 231)(152, 224, 173, 245, 202, 274, 216, 288, 208, 280, 175, 247)(154, 226, 181, 253, 161, 233, 198, 270, 209, 281, 179, 251)(156, 228, 184, 256, 170, 242, 196, 268, 163, 235, 178, 250)(164, 236, 197, 269, 172, 244, 195, 267, 166, 238, 191, 263)(167, 239, 189, 261, 171, 243, 194, 266, 206, 278, 200, 272)(174, 246, 205, 277, 180, 252, 214, 286, 201, 273, 204, 276)(176, 248, 207, 279, 186, 258, 212, 284, 182, 254, 203, 275)
	L = (1, 148)(2, 154)(3, 159)(4, 163)(5, 166)(6, 168)(7, 145)(8, 174)(9, 178)(10, 182)(11, 184)(12, 146)(13, 189)(14, 188)(15, 195)(16, 147)(17, 186)(18, 150)(19, 177)(20, 187)(21, 200)(22, 193)(23, 149)(24, 197)(25, 183)(26, 185)(27, 190)(28, 151)(29, 203)(30, 206)(31, 207)(32, 152)(33, 209)(34, 160)(35, 153)(36, 171)(37, 155)(38, 202)(39, 170)(40, 213)(41, 161)(42, 208)(43, 169)(44, 156)(45, 214)(46, 164)(47, 157)(48, 211)(49, 158)(50, 205)(51, 165)(52, 162)(53, 215)(54, 210)(55, 172)(56, 204)(57, 167)(58, 201)(59, 179)(60, 173)(61, 175)(62, 199)(63, 198)(64, 180)(65, 176)(66, 196)(67, 191)(68, 181)(69, 192)(70, 216)(71, 194)(72, 212)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.1697
Graph:: simple bipartite
	v = 30 e = 144 f = 60
	degree seq :: [ 8^18, 12^12 ]

E28.1722 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ R^2, (Y3 * Y2^-1)^2, (Y3 * Y2^-1)^2, (R * Y3)^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y1^4, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2^2 * Y3^-2 * Y1^-1, Y3^-1 * Y2^3 * Y3^-1 * Y2^-1, Y3 * Y1 * Y2 * Y1^-1 * Y3^-1 * Y2^-1, Y1^-1 * Y2^-1 * Y1^2 * Y2 * Y1^-1, Y1^-1 * Y3 * Y1^-2 * Y3^-1 * Y1^-1, Y3 * Y1^-2 * Y2 * Y3^-1 * Y2^-1, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y2^-2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y3^3 * Y2^-1 * Y3^-1 * Y2^-1, (Y3 * Y2 * Y3)^2, Y3^2 * Y1 * Y2^-2 * Y1, Y2^-1 * R * Y2^-1 * R * Y1^-2, Y2^-1 * Y3^-4 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 8, 80, 5, 77)(3, 75, 13, 85, 31, 103, 9, 81)(4, 76, 17, 89, 32, 104, 20, 92)(6, 78, 22, 94, 33, 105, 11, 83)(7, 79, 27, 99, 34, 106, 28, 100)(10, 82, 38, 110, 21, 93, 41, 113)(12, 84, 45, 117, 23, 95, 46, 118)(14, 86, 35, 107, 19, 91, 40, 112)(15, 87, 51, 123, 18, 90, 54, 126)(16, 88, 55, 127, 24, 96, 56, 128)(25, 97, 43, 115, 30, 102, 48, 120)(26, 98, 59, 131, 29, 101, 60, 132)(36, 108, 63, 135, 39, 111, 66, 138)(37, 109, 67, 139, 42, 114, 68, 140)(44, 116, 71, 143, 47, 119, 72, 144)(49, 121, 65, 137, 53, 125, 61, 133)(50, 122, 70, 142, 52, 124, 69, 141)(57, 129, 64, 136, 58, 130, 62, 134)(145, 217, 147, 219, 158, 230, 193, 265, 169, 241, 150, 222)(146, 218, 153, 225, 179, 251, 205, 277, 187, 259, 155, 227)(148, 220, 162, 234, 194, 266, 170, 242, 178, 250, 160, 232)(149, 221, 157, 229, 184, 256, 209, 281, 192, 264, 166, 238)(151, 223, 168, 240, 176, 248, 159, 231, 196, 268, 173, 245)(152, 224, 175, 247, 163, 235, 197, 269, 174, 246, 177, 249)(154, 226, 183, 255, 206, 278, 188, 260, 167, 239, 181, 253)(156, 228, 186, 258, 165, 237, 180, 252, 208, 280, 191, 263)(161, 233, 195, 267, 214, 286, 204, 276, 172, 244, 200, 272)(164, 236, 198, 270, 213, 285, 203, 275, 171, 243, 199, 271)(182, 254, 207, 279, 201, 273, 216, 288, 190, 262, 212, 284)(185, 257, 210, 282, 202, 274, 215, 287, 189, 261, 211, 283)
	L = (1, 148)(2, 154)(3, 159)(4, 163)(5, 165)(6, 168)(7, 145)(8, 176)(9, 180)(10, 184)(11, 186)(12, 146)(13, 183)(14, 194)(15, 197)(16, 147)(17, 189)(18, 193)(19, 196)(20, 190)(21, 179)(22, 181)(23, 149)(24, 175)(25, 178)(26, 150)(27, 201)(28, 202)(29, 177)(30, 151)(31, 162)(32, 158)(33, 160)(34, 152)(35, 206)(36, 209)(37, 153)(38, 172)(39, 205)(40, 208)(41, 171)(42, 157)(43, 167)(44, 155)(45, 213)(46, 214)(47, 166)(48, 156)(49, 173)(50, 174)(51, 212)(52, 169)(53, 170)(54, 211)(55, 215)(56, 216)(57, 161)(58, 164)(59, 210)(60, 207)(61, 191)(62, 192)(63, 199)(64, 187)(65, 188)(66, 200)(67, 204)(68, 203)(69, 182)(70, 185)(71, 195)(72, 198)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.1699
Graph:: simple bipartite
	v = 30 e = 144 f = 60
	degree seq :: [ 8^18, 12^12 ]

E28.1723 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ R^2, Y3^3 * Y1^-1, Y3 * Y2 * Y1^-1 * Y2, (Y3^-1, Y1^-1), (Y3 * Y2^-1)^2, Y1^4, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2 * Y1 * Y3 * Y2^-1 * Y1^-1, Y1 * Y2 * Y1 * Y2 * Y3 * Y1, Y2^6, (Y1^-1 * Y3^-1)^3, Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y2 * Y1 * Y3^-1 * Y2^-1 * Y3 * Y1^-1, (R * Y2 * Y3^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 8, 80, 5, 77)(3, 75, 13, 85, 25, 97, 15, 87)(4, 76, 10, 82, 26, 98, 18, 90)(6, 78, 17, 89, 27, 99, 23, 95)(7, 79, 12, 84, 28, 100, 21, 93)(9, 81, 29, 101, 19, 91, 31, 103)(11, 83, 33, 105, 20, 92, 35, 107)(14, 86, 38, 110, 50, 122, 40, 112)(16, 88, 34, 106, 51, 123, 42, 114)(22, 94, 32, 104, 52, 124, 44, 116)(24, 96, 47, 119, 53, 125, 49, 121)(30, 102, 55, 127, 45, 117, 57, 129)(36, 108, 60, 132, 46, 118, 62, 134)(37, 109, 59, 131, 41, 113, 61, 133)(39, 111, 65, 137, 68, 140, 56, 128)(43, 115, 54, 126, 48, 120, 58, 130)(63, 135, 72, 144, 67, 139, 69, 141)(64, 136, 71, 143, 66, 138, 70, 142)(145, 217, 147, 219, 158, 230, 183, 255, 168, 240, 150, 222)(146, 218, 153, 225, 174, 246, 200, 272, 180, 252, 155, 227)(148, 220, 161, 233, 187, 259, 210, 282, 184, 256, 160, 232)(149, 221, 163, 235, 189, 261, 209, 281, 190, 262, 164, 236)(151, 223, 166, 238, 191, 263, 211, 283, 185, 257, 159, 231)(152, 224, 169, 241, 194, 266, 212, 284, 197, 269, 171, 243)(154, 226, 177, 249, 203, 275, 215, 287, 201, 273, 176, 248)(156, 228, 178, 250, 204, 276, 216, 288, 202, 274, 175, 247)(157, 229, 172, 244, 196, 268, 193, 265, 207, 279, 181, 253)(162, 234, 179, 251, 205, 277, 214, 286, 199, 271, 188, 260)(165, 237, 186, 258, 206, 278, 213, 285, 198, 270, 173, 245)(167, 239, 192, 264, 208, 280, 182, 254, 195, 267, 170, 242)
	L = (1, 148)(2, 154)(3, 155)(4, 156)(5, 162)(6, 166)(7, 145)(8, 170)(9, 171)(10, 172)(11, 178)(12, 146)(13, 177)(14, 181)(15, 179)(16, 147)(17, 176)(18, 151)(19, 150)(20, 186)(21, 149)(22, 175)(23, 188)(24, 189)(25, 164)(26, 165)(27, 196)(28, 152)(29, 167)(30, 198)(31, 161)(32, 153)(33, 195)(34, 157)(35, 160)(36, 158)(37, 204)(38, 203)(39, 208)(40, 205)(41, 206)(42, 159)(43, 197)(44, 163)(45, 202)(46, 194)(47, 201)(48, 168)(49, 199)(50, 185)(51, 169)(52, 173)(53, 174)(54, 193)(55, 192)(56, 214)(57, 187)(58, 191)(59, 190)(60, 182)(61, 180)(62, 184)(63, 183)(64, 216)(65, 215)(66, 213)(67, 212)(68, 210)(69, 200)(70, 207)(71, 211)(72, 209)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.1698
Graph:: simple bipartite
	v = 30 e = 144 f = 60
	degree seq :: [ 8^18, 12^12 ]

E28.1724 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1 * Y3, (Y2 * Y3^-1)^2, (R * Y3)^2, (R * Y1)^2, Y1^4, (Y3 * Y2^-1 * Y1^-1)^2, (Y1^-1 * R * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y2 * Y3^-3, Y3 * Y2^-1 * Y1^-1 * Y2^3, Y3 * Y1^-2 * Y3^-1 * Y1^-2, Y3^-1 * Y1 * Y2^-2 * Y1^-2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y3 * Y2^-1 * Y3^-1 * Y1 * Y2 * Y1^-1, Y2 * Y3 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y1^-2 * Y2^-1 * Y1^-2, Y3^-3 * Y1 * Y3^-1 * Y2^-2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 8, 80, 5, 77)(3, 75, 13, 85, 31, 103, 16, 88)(4, 76, 18, 90, 32, 104, 21, 93)(6, 78, 25, 97, 33, 105, 27, 99)(7, 79, 28, 100, 34, 106, 14, 86)(9, 81, 35, 107, 22, 94, 38, 110)(10, 82, 40, 112, 23, 95, 42, 114)(11, 83, 43, 115, 19, 91, 45, 117)(12, 84, 46, 118, 24, 96, 36, 108)(15, 87, 51, 123, 61, 133, 37, 109)(17, 89, 56, 128, 62, 134, 39, 111)(20, 92, 41, 113, 63, 135, 54, 126)(26, 98, 57, 129, 64, 136, 53, 125)(29, 101, 59, 131, 65, 137, 47, 119)(30, 102, 48, 120, 66, 138, 60, 132)(44, 116, 71, 143, 55, 127, 70, 142)(49, 121, 68, 140, 52, 124, 72, 144)(50, 122, 67, 139, 58, 130, 69, 141)(145, 217, 147, 219, 158, 230, 183, 255, 154, 226, 150, 222)(146, 218, 153, 225, 180, 252, 206, 278, 176, 248, 155, 227)(148, 220, 163, 235, 149, 221, 166, 238, 190, 262, 161, 233)(151, 223, 170, 242, 204, 276, 171, 243, 202, 274, 173, 245)(152, 224, 175, 247, 172, 244, 200, 272, 167, 239, 177, 249)(156, 228, 188, 260, 174, 246, 189, 261, 216, 288, 191, 263)(157, 229, 185, 257, 214, 286, 186, 258, 205, 277, 193, 265)(159, 231, 196, 268, 160, 232, 198, 270, 215, 287, 184, 256)(162, 234, 195, 267, 211, 283, 179, 251, 207, 279, 201, 273)(164, 236, 197, 269, 165, 237, 181, 253, 213, 285, 182, 254)(168, 240, 199, 271, 210, 282, 187, 259, 212, 284, 203, 275)(169, 241, 194, 266, 209, 281, 178, 250, 208, 280, 192, 264)
	L = (1, 148)(2, 154)(3, 159)(4, 164)(5, 167)(6, 170)(7, 145)(8, 176)(9, 181)(10, 185)(11, 188)(12, 146)(13, 150)(14, 194)(15, 197)(16, 177)(17, 147)(18, 190)(19, 199)(20, 196)(21, 180)(22, 195)(23, 198)(24, 149)(25, 183)(26, 182)(27, 200)(28, 202)(29, 189)(30, 151)(31, 205)(32, 207)(33, 208)(34, 152)(35, 155)(36, 212)(37, 214)(38, 163)(39, 153)(40, 158)(41, 213)(42, 172)(43, 206)(44, 157)(45, 161)(46, 216)(47, 169)(48, 156)(49, 174)(50, 165)(51, 215)(52, 210)(53, 209)(54, 211)(55, 160)(56, 166)(57, 173)(58, 162)(59, 171)(60, 168)(61, 201)(62, 175)(63, 193)(64, 179)(65, 187)(66, 178)(67, 192)(68, 186)(69, 204)(70, 203)(71, 191)(72, 184)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.1700
Graph:: bipartite
	v = 30 e = 144 f = 60
	degree seq :: [ 8^18, 12^12 ]

E28.1725 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ R^2, Y1^4, Y1 * Y2^2 * Y3, (R * Y3)^2, (Y3 * Y2^-1)^2, Y1^4, Y3^-1 * Y2^-2 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y2^4 * Y1^-1, Y2^-1 * Y1^-2 * Y2 * Y1^-2, Y2 * Y3 * Y2^-1 * Y1 * Y3^2, (Y1 * Y3^-1 * Y2)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-1 * Y1^2 * Y3 * Y1^-1, Y3 * Y2^-1 * Y3^-2 * Y2^-1 * Y1^-1, Y2 * Y1 * Y3^-1 * Y2^-1 * Y3 * Y1^-1, Y3^-1 * Y1 * Y2^-1 * Y3 * Y2 * Y1, (Y1^-1 * R * Y2^-1)^2, Y2 * Y3 * Y2^-2 * Y1 * Y3 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 8, 80, 5, 77)(3, 75, 13, 85, 31, 103, 16, 88)(4, 76, 18, 90, 32, 104, 21, 93)(6, 78, 25, 97, 33, 105, 15, 87)(7, 79, 28, 100, 34, 106, 29, 101)(9, 81, 35, 107, 22, 94, 37, 109)(10, 82, 39, 111, 23, 95, 42, 114)(11, 83, 43, 115, 24, 96, 36, 108)(12, 84, 46, 118, 14, 86, 47, 119)(17, 89, 57, 129, 61, 133, 58, 130)(19, 91, 55, 127, 62, 134, 40, 112)(20, 92, 41, 113, 63, 135, 54, 126)(26, 98, 50, 122, 64, 136, 44, 116)(27, 99, 59, 131, 65, 137, 45, 117)(30, 102, 48, 120, 66, 138, 51, 123)(38, 110, 70, 142, 53, 125, 71, 143)(49, 121, 72, 144, 56, 128, 68, 140)(52, 124, 69, 141, 60, 132, 67, 139)(145, 217, 147, 219, 158, 230, 194, 266, 162, 234, 150, 222)(146, 218, 153, 225, 151, 223, 170, 242, 183, 255, 155, 227)(148, 220, 163, 235, 193, 265, 157, 229, 185, 257, 161, 233)(149, 221, 166, 238, 178, 250, 208, 280, 186, 258, 168, 240)(152, 224, 175, 247, 156, 228, 188, 260, 165, 237, 177, 249)(154, 226, 184, 256, 211, 283, 179, 251, 207, 279, 182, 254)(159, 231, 196, 268, 209, 281, 191, 263, 215, 287, 195, 267)(160, 232, 198, 270, 205, 277, 176, 248, 206, 278, 200, 272)(164, 236, 197, 269, 167, 239, 199, 271, 213, 285, 181, 253)(169, 241, 204, 276, 171, 243, 190, 262, 214, 286, 192, 264)(172, 244, 201, 273, 174, 246, 180, 252, 212, 284, 203, 275)(173, 245, 202, 274, 210, 282, 187, 259, 216, 288, 189, 261)
	L = (1, 148)(2, 154)(3, 159)(4, 164)(5, 167)(6, 170)(7, 145)(8, 176)(9, 180)(10, 185)(11, 188)(12, 146)(13, 184)(14, 149)(15, 197)(16, 199)(17, 147)(18, 190)(19, 202)(20, 196)(21, 191)(22, 187)(23, 198)(24, 194)(25, 182)(26, 181)(27, 150)(28, 200)(29, 193)(30, 151)(31, 169)(32, 207)(33, 208)(34, 152)(35, 206)(36, 161)(37, 163)(38, 153)(39, 173)(40, 215)(41, 212)(42, 172)(43, 205)(44, 157)(45, 155)(46, 213)(47, 211)(48, 156)(49, 165)(50, 160)(51, 158)(52, 210)(53, 166)(54, 216)(55, 214)(56, 162)(57, 171)(58, 209)(59, 168)(60, 174)(61, 175)(62, 201)(63, 204)(64, 179)(65, 177)(66, 178)(67, 186)(68, 195)(69, 183)(70, 189)(71, 203)(72, 192)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.1701
Graph:: simple bipartite
	v = 30 e = 144 f = 60
	degree seq :: [ 8^18, 12^12 ]

E28.1726 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x D24 (small group id <72, 28>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-3 * Y2^-1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * Y1)^2, Y2^4, R * Y1 * Y2^-1 * R * Y1 * Y2, (Y3 * Y2^-1)^3, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 14, 86)(5, 77, 7, 79)(6, 78, 17, 89)(8, 80, 21, 93)(10, 82, 24, 96)(11, 83, 18, 90)(12, 84, 27, 99)(13, 85, 28, 100)(15, 87, 32, 104)(16, 88, 29, 101)(19, 91, 37, 109)(20, 92, 38, 110)(22, 94, 42, 114)(23, 95, 39, 111)(25, 97, 45, 117)(26, 98, 46, 118)(30, 102, 40, 112)(31, 103, 43, 115)(33, 105, 41, 113)(34, 106, 44, 116)(35, 107, 55, 127)(36, 108, 56, 128)(47, 119, 61, 133)(48, 120, 63, 135)(49, 121, 62, 134)(50, 122, 64, 136)(51, 123, 57, 129)(52, 124, 59, 131)(53, 125, 58, 130)(54, 126, 60, 132)(65, 137, 69, 141)(66, 138, 71, 143)(67, 139, 70, 142)(68, 140, 72, 144)(145, 217, 147, 219, 155, 227, 149, 221)(146, 218, 151, 223, 162, 234, 153, 225)(148, 220, 156, 228, 169, 241, 160, 232)(150, 222, 157, 229, 170, 242, 159, 231)(152, 224, 163, 235, 179, 251, 167, 239)(154, 226, 164, 236, 180, 252, 166, 238)(158, 230, 173, 245, 189, 261, 171, 243)(161, 233, 176, 248, 190, 262, 172, 244)(165, 237, 183, 255, 199, 271, 181, 253)(168, 240, 186, 258, 200, 272, 182, 254)(174, 246, 195, 267, 209, 281, 191, 263)(175, 247, 196, 268, 210, 282, 192, 264)(177, 249, 197, 269, 211, 283, 193, 265)(178, 250, 198, 270, 212, 284, 194, 266)(184, 256, 205, 277, 213, 285, 201, 273)(185, 257, 206, 278, 214, 286, 202, 274)(187, 259, 207, 279, 215, 287, 203, 275)(188, 260, 208, 280, 216, 288, 204, 276)
	L = (1, 148)(2, 152)(3, 156)(4, 159)(5, 160)(6, 145)(7, 163)(8, 166)(9, 167)(10, 146)(11, 169)(12, 150)(13, 147)(14, 174)(15, 149)(16, 170)(17, 177)(18, 179)(19, 154)(20, 151)(21, 184)(22, 153)(23, 180)(24, 187)(25, 157)(26, 155)(27, 191)(28, 193)(29, 195)(30, 192)(31, 158)(32, 197)(33, 194)(34, 161)(35, 164)(36, 162)(37, 201)(38, 203)(39, 205)(40, 202)(41, 165)(42, 207)(43, 204)(44, 168)(45, 209)(46, 211)(47, 210)(48, 171)(49, 212)(50, 172)(51, 175)(52, 173)(53, 178)(54, 176)(55, 213)(56, 215)(57, 214)(58, 181)(59, 216)(60, 182)(61, 185)(62, 183)(63, 188)(64, 186)(65, 196)(66, 189)(67, 198)(68, 190)(69, 206)(70, 199)(71, 208)(72, 200)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1731
Graph:: simple bipartite
	v = 54 e = 144 f = 36
	degree seq :: [ 4^36, 8^18 ]

E28.1727 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-3 * Y2^-1, (Y3, Y2^-1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2^4, (Y2^-1 * Y1 * Y3^-1)^2, (Y2^-1 * Y1 * Y2^-1)^2, (Y3 * Y1 * Y2^-1)^2, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 15, 87)(5, 77, 18, 90)(6, 78, 19, 91)(7, 79, 20, 92)(8, 80, 24, 96)(9, 81, 27, 99)(10, 82, 28, 100)(12, 84, 21, 93)(13, 85, 25, 97)(14, 86, 26, 98)(16, 88, 22, 94)(17, 89, 23, 95)(29, 101, 45, 117)(30, 102, 46, 118)(31, 103, 49, 121)(32, 104, 50, 122)(33, 105, 47, 119)(34, 106, 48, 120)(35, 107, 51, 123)(36, 108, 52, 124)(37, 109, 53, 125)(38, 110, 54, 126)(39, 111, 57, 129)(40, 112, 58, 130)(41, 113, 55, 127)(42, 114, 56, 128)(43, 115, 59, 131)(44, 116, 60, 132)(61, 133, 69, 141)(62, 134, 70, 142)(63, 135, 67, 139)(64, 136, 68, 140)(65, 137, 72, 144)(66, 138, 71, 143)(145, 217, 147, 219, 156, 228, 149, 221)(146, 218, 151, 223, 165, 237, 153, 225)(148, 220, 157, 229, 177, 249, 161, 233)(150, 222, 158, 230, 178, 250, 160, 232)(152, 224, 166, 238, 185, 257, 170, 242)(154, 226, 167, 239, 186, 258, 169, 241)(155, 227, 173, 245, 162, 234, 175, 247)(159, 231, 179, 251, 191, 263, 176, 248)(163, 235, 180, 252, 192, 264, 174, 246)(164, 236, 181, 253, 171, 243, 183, 255)(168, 240, 187, 259, 199, 271, 184, 256)(172, 244, 188, 260, 200, 272, 182, 254)(189, 261, 205, 277, 193, 265, 207, 279)(190, 262, 209, 281, 196, 268, 208, 280)(194, 266, 210, 282, 195, 267, 206, 278)(197, 269, 211, 283, 201, 273, 213, 285)(198, 270, 215, 287, 204, 276, 214, 286)(202, 274, 216, 288, 203, 275, 212, 284)
	L = (1, 148)(2, 152)(3, 157)(4, 160)(5, 161)(6, 145)(7, 166)(8, 169)(9, 170)(10, 146)(11, 174)(12, 177)(13, 150)(14, 147)(15, 173)(16, 149)(17, 178)(18, 180)(19, 176)(20, 182)(21, 185)(22, 154)(23, 151)(24, 181)(25, 153)(26, 186)(27, 188)(28, 184)(29, 163)(30, 191)(31, 192)(32, 155)(33, 158)(34, 156)(35, 162)(36, 159)(37, 172)(38, 199)(39, 200)(40, 164)(41, 167)(42, 165)(43, 171)(44, 168)(45, 206)(46, 205)(47, 175)(48, 179)(49, 210)(50, 208)(51, 209)(52, 207)(53, 212)(54, 211)(55, 183)(56, 187)(57, 216)(58, 214)(59, 215)(60, 213)(61, 194)(62, 196)(63, 195)(64, 189)(65, 193)(66, 190)(67, 202)(68, 204)(69, 203)(70, 197)(71, 201)(72, 198)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1730
Graph:: simple bipartite
	v = 54 e = 144 f = 36
	degree seq :: [ 4^36, 8^18 ]

E28.1728 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2), Y3^-3 * Y2^-1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2^4, (Y3 * Y2^-1)^3, Y3^-1 * Y1 * Y3^-2 * Y1 * Y2^-1, (Y2^-1 * Y1 * Y2^-1)^2, (Y3 * Y1 * Y2 * Y1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 15, 87)(5, 77, 18, 90)(6, 78, 19, 91)(7, 79, 20, 92)(8, 80, 24, 96)(9, 81, 27, 99)(10, 82, 28, 100)(12, 84, 21, 93)(13, 85, 22, 94)(14, 86, 23, 95)(16, 88, 25, 97)(17, 89, 26, 98)(29, 101, 45, 117)(30, 102, 48, 120)(31, 103, 49, 121)(32, 104, 50, 122)(33, 105, 46, 118)(34, 106, 47, 119)(35, 107, 51, 123)(36, 108, 52, 124)(37, 109, 53, 125)(38, 110, 56, 128)(39, 111, 57, 129)(40, 112, 58, 130)(41, 113, 54, 126)(42, 114, 55, 127)(43, 115, 59, 131)(44, 116, 60, 132)(61, 133, 69, 141)(62, 134, 72, 144)(63, 135, 67, 139)(64, 136, 71, 143)(65, 137, 70, 142)(66, 138, 68, 140)(145, 217, 147, 219, 156, 228, 149, 221)(146, 218, 151, 223, 165, 237, 153, 225)(148, 220, 157, 229, 177, 249, 161, 233)(150, 222, 158, 230, 178, 250, 160, 232)(152, 224, 166, 238, 185, 257, 170, 242)(154, 226, 167, 239, 186, 258, 169, 241)(155, 227, 173, 245, 162, 234, 175, 247)(159, 231, 174, 246, 190, 262, 180, 252)(163, 235, 176, 248, 191, 263, 179, 251)(164, 236, 181, 253, 171, 243, 183, 255)(168, 240, 182, 254, 198, 270, 188, 260)(172, 244, 184, 256, 199, 271, 187, 259)(189, 261, 205, 277, 193, 265, 207, 279)(192, 264, 206, 278, 196, 268, 210, 282)(194, 266, 208, 280, 195, 267, 209, 281)(197, 269, 211, 283, 201, 273, 213, 285)(200, 272, 212, 284, 204, 276, 216, 288)(202, 274, 214, 286, 203, 275, 215, 287)
	L = (1, 148)(2, 152)(3, 157)(4, 160)(5, 161)(6, 145)(7, 166)(8, 169)(9, 170)(10, 146)(11, 174)(12, 177)(13, 150)(14, 147)(15, 179)(16, 149)(17, 178)(18, 180)(19, 175)(20, 182)(21, 185)(22, 154)(23, 151)(24, 187)(25, 153)(26, 186)(27, 188)(28, 183)(29, 190)(30, 163)(31, 159)(32, 155)(33, 158)(34, 156)(35, 162)(36, 191)(37, 198)(38, 172)(39, 168)(40, 164)(41, 167)(42, 165)(43, 171)(44, 199)(45, 206)(46, 176)(47, 173)(48, 209)(49, 210)(50, 207)(51, 205)(52, 208)(53, 212)(54, 184)(55, 181)(56, 215)(57, 216)(58, 213)(59, 211)(60, 214)(61, 196)(62, 194)(63, 192)(64, 189)(65, 193)(66, 195)(67, 204)(68, 202)(69, 200)(70, 197)(71, 201)(72, 203)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1732
Graph:: simple bipartite
	v = 54 e = 144 f = 36
	degree seq :: [ 4^36, 8^18 ]

E28.1729 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, (Y2 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y1 * Y2^-2 * Y1 * Y2, Y1 * Y3 * Y1 * Y3^-1 * Y2^2, Y2^-1 * Y3 * Y2^-2 * Y3^-1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y2^-2 * Y3^-1 * Y1, Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, (Y3 * Y2^-1)^3, Y1 * Y3^-2 * Y1 * Y3^2, Y2^-1 * Y3^2 * Y2 * Y3^-2, Y2 * R * Y2^2 * Y1 * R * Y2^-1 * Y1, (Y1 * Y3^3)^2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 14, 86)(5, 77, 7, 79)(6, 78, 20, 92)(8, 80, 27, 99)(10, 82, 33, 105)(11, 83, 24, 96)(12, 84, 25, 97)(13, 85, 26, 98)(15, 87, 28, 100)(16, 88, 29, 101)(17, 89, 30, 102)(18, 90, 31, 103)(19, 91, 32, 104)(21, 93, 34, 106)(22, 94, 35, 107)(23, 95, 36, 108)(37, 109, 53, 125)(38, 110, 60, 132)(39, 111, 51, 123)(40, 112, 55, 127)(41, 113, 54, 126)(42, 114, 62, 134)(43, 115, 57, 129)(44, 116, 61, 133)(45, 117, 64, 136)(46, 118, 52, 124)(47, 119, 58, 130)(48, 120, 56, 128)(49, 121, 63, 135)(50, 122, 59, 131)(65, 137, 69, 141)(66, 138, 70, 142)(67, 139, 71, 143)(68, 140, 72, 144)(145, 217, 147, 219, 155, 227, 149, 221)(146, 218, 151, 223, 168, 240, 153, 225)(148, 220, 159, 231, 171, 243, 161, 233)(150, 222, 165, 237, 177, 249, 166, 238)(152, 224, 172, 244, 158, 230, 174, 246)(154, 226, 178, 250, 164, 236, 179, 251)(156, 228, 181, 253, 162, 234, 183, 255)(157, 229, 184, 256, 163, 235, 185, 257)(160, 232, 182, 254, 201, 273, 190, 262)(167, 239, 186, 258, 207, 279, 192, 264)(169, 241, 195, 267, 175, 247, 197, 269)(170, 242, 198, 270, 176, 248, 199, 271)(173, 245, 196, 268, 187, 259, 204, 276)(180, 252, 200, 272, 193, 265, 206, 278)(188, 260, 212, 284, 191, 263, 210, 282)(189, 261, 211, 283, 194, 266, 209, 281)(202, 274, 216, 288, 205, 277, 214, 286)(203, 275, 215, 287, 208, 280, 213, 285)
	L = (1, 148)(2, 152)(3, 156)(4, 160)(5, 162)(6, 145)(7, 169)(8, 173)(9, 175)(10, 146)(11, 171)(12, 182)(13, 147)(14, 187)(15, 185)(16, 189)(17, 184)(18, 190)(19, 149)(20, 168)(21, 188)(22, 191)(23, 150)(24, 158)(25, 196)(26, 151)(27, 201)(28, 199)(29, 203)(30, 198)(31, 204)(32, 153)(33, 155)(34, 202)(35, 205)(36, 154)(37, 165)(38, 210)(39, 166)(40, 209)(41, 211)(42, 157)(43, 208)(44, 159)(45, 207)(46, 212)(47, 161)(48, 163)(49, 164)(50, 167)(51, 178)(52, 214)(53, 179)(54, 213)(55, 215)(56, 170)(57, 194)(58, 172)(59, 193)(60, 216)(61, 174)(62, 176)(63, 177)(64, 180)(65, 181)(66, 192)(67, 183)(68, 186)(69, 195)(70, 206)(71, 197)(72, 200)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1733
Graph:: simple bipartite
	v = 54 e = 144 f = 36
	degree seq :: [ 4^36, 8^18 ]

E28.1730 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^3, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, Y2^-1 * Y1 * Y2 * Y1, (Y2^-1 * Y3 * Y2^-1)^2, (R * Y2 * Y3)^2, Y2^6, (Y2^-1 * Y3)^4 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 10, 82, 7, 79)(4, 76, 13, 85, 8, 80)(6, 78, 16, 88, 9, 81)(11, 83, 19, 91, 25, 97)(12, 84, 20, 92, 26, 98)(14, 86, 21, 93, 31, 103)(15, 87, 22, 94, 32, 104)(17, 89, 23, 95, 36, 108)(18, 90, 24, 96, 37, 109)(27, 99, 47, 119, 39, 111)(28, 100, 48, 120, 40, 112)(29, 101, 49, 121, 41, 113)(30, 102, 50, 122, 42, 114)(33, 105, 55, 127, 43, 115)(34, 106, 56, 128, 44, 116)(35, 107, 57, 129, 45, 117)(38, 110, 59, 131, 46, 118)(51, 123, 60, 132, 65, 137)(52, 124, 61, 133, 66, 138)(53, 125, 62, 134, 67, 139)(54, 126, 63, 135, 68, 140)(58, 130, 64, 136, 70, 142)(69, 141, 72, 144, 71, 143)(145, 217, 147, 219, 155, 227, 171, 243, 162, 234, 150, 222)(146, 218, 151, 223, 163, 235, 183, 255, 168, 240, 153, 225)(148, 220, 158, 230, 177, 249, 196, 268, 172, 244, 159, 231)(149, 221, 154, 226, 169, 241, 191, 263, 181, 253, 160, 232)(152, 224, 165, 237, 187, 259, 205, 277, 184, 256, 166, 238)(156, 228, 173, 245, 161, 233, 182, 254, 195, 267, 174, 246)(157, 229, 175, 247, 199, 271, 210, 282, 192, 264, 176, 248)(164, 236, 185, 257, 167, 239, 190, 262, 204, 276, 186, 258)(170, 242, 193, 265, 180, 252, 203, 275, 209, 281, 194, 266)(178, 250, 197, 269, 179, 251, 198, 270, 213, 285, 202, 274)(188, 260, 206, 278, 189, 261, 207, 279, 215, 287, 208, 280)(200, 272, 211, 283, 201, 273, 212, 284, 216, 288, 214, 286)
	L = (1, 148)(2, 152)(3, 156)(4, 145)(5, 157)(6, 161)(7, 164)(8, 146)(9, 167)(10, 170)(11, 172)(12, 147)(13, 149)(14, 178)(15, 179)(16, 180)(17, 150)(18, 177)(19, 184)(20, 151)(21, 188)(22, 189)(23, 153)(24, 187)(25, 192)(26, 154)(27, 195)(28, 155)(29, 197)(30, 198)(31, 200)(32, 201)(33, 162)(34, 158)(35, 159)(36, 160)(37, 199)(38, 202)(39, 204)(40, 163)(41, 206)(42, 207)(43, 168)(44, 165)(45, 166)(46, 208)(47, 209)(48, 169)(49, 211)(50, 212)(51, 171)(52, 213)(53, 173)(54, 174)(55, 181)(56, 175)(57, 176)(58, 182)(59, 214)(60, 183)(61, 215)(62, 185)(63, 186)(64, 190)(65, 191)(66, 216)(67, 193)(68, 194)(69, 196)(70, 203)(71, 205)(72, 210)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.1727
Graph:: simple bipartite
	v = 36 e = 144 f = 54
	degree seq :: [ 6^24, 12^12 ]

E28.1731 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x D24 (small group id <72, 28>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^-1 * Y2^2 * Y3^-1, (Y2^-1 * Y1^-1)^2, (Y1^-1 * Y3^-1)^2, (R * Y3)^2, (Y1 * R)^2, Y3^-1 * Y2^2 * Y3^-1, Y3^6, (R * Y2 * Y3^-1)^2, Y2^3 * Y1^-1 * Y2 * Y1^-1, Y3 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y1^-1, Y1^-1 * Y3^2 * Y1 * Y2^-2, Y2^-2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1, Y3^-3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2^2 * Y1^-1 * Y3 * Y1^-1, Y3^-1 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y2 * R * Y2^-1 * Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 12, 84, 15, 87)(4, 76, 17, 89, 19, 91)(6, 78, 23, 95, 8, 80)(7, 79, 26, 98, 9, 81)(10, 82, 33, 105, 21, 93)(11, 83, 36, 108, 22, 94)(13, 85, 28, 100, 41, 113)(14, 86, 29, 101, 43, 115)(16, 88, 30, 102, 38, 110)(18, 90, 31, 103, 49, 121)(20, 92, 32, 104, 46, 118)(24, 96, 34, 106, 39, 111)(25, 97, 35, 107, 40, 112)(27, 99, 37, 109, 47, 119)(42, 114, 58, 130, 54, 126)(44, 116, 59, 131, 52, 124)(45, 117, 60, 132, 53, 125)(48, 120, 64, 136, 57, 129)(50, 122, 65, 137, 55, 127)(51, 123, 66, 138, 56, 128)(61, 133, 67, 139, 72, 144)(62, 134, 68, 140, 70, 142)(63, 135, 69, 141, 71, 143)(145, 217, 147, 219, 157, 229, 177, 249, 168, 240, 150, 222)(146, 218, 152, 224, 172, 244, 159, 231, 178, 250, 154, 226)(148, 220, 162, 234, 180, 252, 171, 243, 151, 223, 164, 236)(149, 221, 165, 237, 185, 257, 167, 239, 183, 255, 156, 228)(153, 225, 175, 247, 163, 235, 181, 253, 155, 227, 176, 248)(158, 230, 186, 258, 169, 241, 189, 261, 160, 232, 188, 260)(161, 233, 190, 262, 166, 238, 193, 265, 170, 242, 191, 263)(173, 245, 196, 268, 179, 251, 198, 270, 174, 246, 197, 269)(182, 254, 202, 274, 187, 259, 204, 276, 184, 256, 203, 275)(192, 264, 205, 277, 195, 267, 207, 279, 194, 266, 206, 278)(199, 271, 211, 283, 201, 273, 213, 285, 200, 272, 212, 284)(208, 280, 214, 286, 210, 282, 216, 288, 209, 281, 215, 287)
	L = (1, 148)(2, 153)(3, 158)(4, 157)(5, 166)(6, 160)(7, 145)(8, 173)(9, 172)(10, 174)(11, 146)(12, 182)(13, 180)(14, 177)(15, 179)(16, 147)(17, 149)(18, 192)(19, 178)(20, 194)(21, 187)(22, 185)(23, 184)(24, 151)(25, 150)(26, 183)(27, 195)(28, 163)(29, 159)(30, 152)(31, 199)(32, 200)(33, 169)(34, 155)(35, 154)(36, 168)(37, 201)(38, 165)(39, 161)(40, 156)(41, 170)(42, 205)(43, 167)(44, 206)(45, 207)(46, 208)(47, 209)(48, 171)(49, 210)(50, 162)(51, 164)(52, 211)(53, 212)(54, 213)(55, 181)(56, 175)(57, 176)(58, 214)(59, 215)(60, 216)(61, 189)(62, 186)(63, 188)(64, 193)(65, 190)(66, 191)(67, 198)(68, 196)(69, 197)(70, 204)(71, 202)(72, 203)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.1726
Graph:: simple bipartite
	v = 36 e = 144 f = 54
	degree seq :: [ 6^24, 12^12 ]

E28.1732 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1 * Y3^-2, (Y2, Y1^-1), (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^2 * Y3)^2, Y2^6, Y2 * R * Y1 * R * Y1^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y1 * Y3 * Y2^-2 * Y3 * Y2^-1, Y2 * Y1 * R * Y2^-2 * R * Y2, Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1, (Y3 * Y2^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 8, 80, 13, 85)(4, 76, 9, 81, 7, 79)(6, 78, 10, 82, 17, 89)(11, 83, 23, 95, 31, 103)(12, 84, 24, 96, 14, 86)(15, 87, 25, 97, 21, 93)(16, 88, 26, 98, 22, 94)(18, 90, 27, 99, 20, 92)(19, 91, 28, 100, 43, 115)(29, 101, 51, 123, 55, 127)(30, 102, 41, 113, 32, 104)(33, 105, 45, 117, 35, 107)(34, 106, 52, 124, 36, 108)(37, 109, 46, 118, 48, 120)(38, 110, 49, 121, 39, 111)(40, 112, 50, 122, 42, 114)(44, 116, 53, 125, 47, 119)(54, 126, 62, 134, 56, 128)(57, 129, 66, 138, 58, 130)(59, 131, 64, 136, 60, 132)(61, 133, 65, 137, 63, 135)(67, 139, 69, 141, 68, 140)(70, 142, 72, 144, 71, 143)(145, 217, 147, 219, 155, 227, 173, 245, 163, 235, 150, 222)(146, 218, 152, 224, 167, 239, 195, 267, 172, 244, 154, 226)(148, 220, 159, 231, 181, 253, 210, 282, 185, 257, 160, 232)(149, 221, 157, 229, 175, 247, 199, 271, 187, 259, 161, 233)(151, 223, 165, 237, 192, 264, 201, 273, 174, 246, 166, 238)(153, 225, 169, 241, 190, 262, 202, 274, 176, 248, 170, 242)(156, 228, 177, 249, 164, 236, 191, 263, 206, 278, 178, 250)(158, 230, 179, 251, 171, 243, 197, 269, 198, 270, 180, 252)(162, 234, 188, 260, 200, 272, 196, 268, 168, 240, 189, 261)(182, 254, 203, 275, 186, 258, 207, 279, 215, 287, 211, 283)(183, 255, 204, 276, 194, 266, 209, 281, 216, 288, 212, 284)(184, 256, 205, 277, 214, 286, 213, 285, 193, 265, 208, 280)
	L = (1, 148)(2, 153)(3, 156)(4, 146)(5, 151)(6, 162)(7, 145)(8, 168)(9, 149)(10, 171)(11, 174)(12, 152)(13, 158)(14, 147)(15, 182)(16, 184)(17, 164)(18, 154)(19, 190)(20, 150)(21, 183)(22, 186)(23, 185)(24, 157)(25, 193)(26, 194)(27, 161)(28, 192)(29, 198)(30, 167)(31, 176)(32, 155)(33, 203)(34, 205)(35, 204)(36, 207)(37, 163)(38, 169)(39, 159)(40, 170)(41, 175)(42, 160)(43, 181)(44, 211)(45, 208)(46, 172)(47, 212)(48, 187)(49, 165)(50, 166)(51, 206)(52, 209)(53, 213)(54, 195)(55, 200)(56, 173)(57, 214)(58, 215)(59, 189)(60, 177)(61, 196)(62, 199)(63, 178)(64, 179)(65, 180)(66, 216)(67, 197)(68, 188)(69, 191)(70, 210)(71, 201)(72, 202)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.1728
Graph:: simple bipartite
	v = 36 e = 144 f = 54
	degree seq :: [ 6^24, 12^12 ]

E28.1733 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-2, Y1^3, (Y2^-1 * Y1^-1)^2, (Y1 * R)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (Y2^-1 * Y1^-1)^2, Y2^3 * Y1^-1 * Y2 * Y1^-1, Y1^-1 * Y2 * Y1^-1 * Y2^3, Y2^-2 * Y3^-1 * Y2^2 * Y3, (R * Y2 * Y3^-1)^2, Y2 * R * Y2^2 * Y1 * R * Y2^-1 * Y1^-1, Y2 * Y3 * Y1 * Y2^-2 * Y3 * Y1 * Y2, (Y3 * Y2^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 11, 83, 14, 86)(4, 76, 9, 81, 7, 79)(6, 78, 19, 91, 8, 80)(10, 82, 29, 101, 18, 90)(12, 84, 25, 97, 36, 108)(13, 85, 33, 105, 15, 87)(16, 88, 24, 96, 43, 115)(17, 89, 45, 117, 27, 99)(20, 92, 26, 98, 22, 94)(21, 93, 31, 103, 34, 106)(23, 95, 28, 100, 54, 126)(30, 102, 49, 121, 32, 104)(35, 107, 57, 129, 37, 109)(38, 110, 41, 113, 59, 131)(39, 111, 52, 124, 63, 135)(40, 112, 58, 130, 50, 122)(42, 114, 56, 128, 44, 116)(46, 118, 60, 132, 48, 120)(47, 119, 62, 134, 51, 123)(53, 125, 61, 133, 55, 127)(64, 136, 70, 142, 65, 137)(66, 138, 71, 143, 67, 139)(68, 140, 72, 144, 69, 141)(145, 217, 147, 219, 156, 228, 173, 245, 165, 237, 150, 222)(146, 218, 152, 224, 169, 241, 158, 230, 175, 247, 154, 226)(148, 220, 160, 232, 179, 251, 198, 270, 191, 263, 161, 233)(149, 221, 162, 234, 180, 252, 163, 235, 178, 250, 155, 227)(151, 223, 167, 239, 181, 253, 189, 261, 195, 267, 168, 240)(153, 225, 171, 243, 201, 273, 187, 259, 206, 278, 172, 244)(157, 229, 182, 254, 193, 265, 194, 266, 164, 236, 183, 255)(159, 231, 184, 256, 174, 246, 196, 268, 166, 238, 185, 257)(170, 242, 202, 274, 177, 249, 207, 279, 176, 248, 203, 275)(186, 258, 208, 280, 199, 271, 213, 285, 190, 262, 210, 282)(188, 260, 212, 284, 205, 277, 215, 287, 192, 264, 214, 286)(197, 269, 209, 281, 204, 276, 216, 288, 200, 272, 211, 283)
	L = (1, 148)(2, 153)(3, 157)(4, 146)(5, 151)(6, 164)(7, 145)(8, 166)(9, 149)(10, 174)(11, 177)(12, 179)(13, 155)(14, 159)(15, 147)(16, 186)(17, 190)(18, 176)(19, 170)(20, 163)(21, 191)(22, 150)(23, 197)(24, 200)(25, 201)(26, 152)(27, 192)(28, 205)(29, 193)(30, 173)(31, 206)(32, 154)(33, 158)(34, 195)(35, 169)(36, 181)(37, 156)(38, 208)(39, 210)(40, 212)(41, 214)(42, 168)(43, 188)(44, 160)(45, 204)(46, 189)(47, 175)(48, 161)(49, 162)(50, 213)(51, 165)(52, 215)(53, 172)(54, 199)(55, 167)(56, 187)(57, 180)(58, 216)(59, 209)(60, 171)(61, 198)(62, 178)(63, 211)(64, 185)(65, 182)(66, 196)(67, 183)(68, 202)(69, 184)(70, 203)(71, 207)(72, 194)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.1729
Graph:: simple bipartite
	v = 36 e = 144 f = 54
	degree seq :: [ 6^24, 12^12 ]

E28.1734 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x C6) : C2 (small group id <72, 35>)
Aut   = D8 x ((C3 x C3) : C2) (small group id <144, 172>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^4, Y2^-1 * Y3 * Y2^-1 * Y3^-1, (R * Y3)^2, (Y2 * Y1)^2, R * Y2 * R * Y2^-1, (R * Y1)^2, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, (Y3^-1 * Y1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 13, 85)(5, 77, 7, 79)(6, 78, 17, 89)(8, 80, 20, 92)(10, 82, 24, 96)(11, 83, 25, 97)(12, 84, 27, 99)(14, 86, 29, 101)(15, 87, 22, 94)(16, 88, 32, 104)(18, 90, 33, 105)(19, 91, 35, 107)(21, 93, 37, 109)(23, 95, 40, 112)(26, 98, 39, 111)(28, 100, 43, 115)(30, 102, 46, 118)(31, 103, 34, 106)(36, 108, 49, 121)(38, 110, 52, 124)(41, 113, 53, 125)(42, 114, 54, 126)(44, 116, 56, 128)(45, 117, 58, 130)(47, 119, 59, 131)(48, 120, 60, 132)(50, 122, 62, 134)(51, 123, 64, 136)(55, 127, 63, 135)(57, 129, 61, 133)(65, 137, 72, 144)(66, 138, 71, 143)(67, 139, 70, 142)(68, 140, 69, 141)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 158, 230, 155, 227)(150, 222, 160, 232, 156, 228)(152, 224, 165, 237, 162, 234)(154, 226, 167, 239, 163, 235)(157, 229, 169, 241, 173, 245)(159, 231, 170, 242, 175, 247)(161, 233, 171, 243, 176, 248)(164, 236, 177, 249, 181, 253)(166, 238, 178, 250, 183, 255)(168, 240, 179, 251, 184, 256)(172, 244, 188, 260, 185, 257)(174, 246, 189, 261, 186, 258)(180, 252, 194, 266, 191, 263)(182, 254, 195, 267, 192, 264)(187, 259, 197, 269, 200, 272)(190, 262, 198, 270, 202, 274)(193, 265, 203, 275, 206, 278)(196, 268, 204, 276, 208, 280)(199, 271, 211, 283, 209, 281)(201, 273, 212, 284, 210, 282)(205, 277, 215, 287, 213, 285)(207, 279, 216, 288, 214, 286)
	L = (1, 148)(2, 152)(3, 155)(4, 159)(5, 158)(6, 145)(7, 162)(8, 166)(9, 165)(10, 146)(11, 170)(12, 147)(13, 172)(14, 175)(15, 150)(16, 149)(17, 174)(18, 178)(19, 151)(20, 180)(21, 183)(22, 154)(23, 153)(24, 182)(25, 185)(26, 156)(27, 186)(28, 161)(29, 188)(30, 157)(31, 160)(32, 189)(33, 191)(34, 163)(35, 192)(36, 168)(37, 194)(38, 164)(39, 167)(40, 195)(41, 171)(42, 169)(43, 199)(44, 176)(45, 173)(46, 201)(47, 179)(48, 177)(49, 205)(50, 184)(51, 181)(52, 207)(53, 209)(54, 210)(55, 190)(56, 211)(57, 187)(58, 212)(59, 213)(60, 214)(61, 196)(62, 215)(63, 193)(64, 216)(65, 198)(66, 197)(67, 202)(68, 200)(69, 204)(70, 203)(71, 208)(72, 206)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1737
Graph:: simple bipartite
	v = 60 e = 144 f = 30
	degree seq :: [ 4^36, 6^24 ]

E28.1735 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x C6) : C2 (small group id <72, 35>)
Aut   = D8 x ((C3 x C3) : C2) (small group id <144, 172>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^3, (Y3 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2^4, (Y3 * Y2^-2)^2, (R * Y2 * Y3)^2, (Y3 * Y2)^6 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 10, 82, 7, 79)(4, 76, 13, 85, 8, 80)(6, 78, 16, 88, 9, 81)(11, 83, 18, 90, 23, 95)(12, 84, 19, 91, 24, 96)(14, 86, 20, 92, 28, 100)(15, 87, 21, 93, 29, 101)(17, 89, 22, 94, 32, 104)(25, 97, 38, 110, 33, 105)(26, 98, 39, 111, 34, 106)(27, 99, 40, 112, 35, 107)(30, 102, 43, 115, 36, 108)(31, 103, 44, 116, 37, 109)(41, 113, 47, 119, 51, 123)(42, 114, 48, 120, 52, 124)(45, 117, 49, 121, 55, 127)(46, 118, 50, 122, 56, 128)(53, 125, 63, 135, 59, 131)(54, 126, 64, 136, 60, 132)(57, 129, 67, 139, 61, 133)(58, 130, 68, 140, 62, 134)(65, 137, 69, 141, 71, 143)(66, 138, 70, 142, 72, 144)(145, 217, 147, 219, 155, 227, 150, 222)(146, 218, 151, 223, 162, 234, 153, 225)(148, 220, 158, 230, 169, 241, 159, 231)(149, 221, 154, 226, 167, 239, 160, 232)(152, 224, 164, 236, 177, 249, 165, 237)(156, 228, 170, 242, 161, 233, 171, 243)(157, 229, 172, 244, 182, 254, 173, 245)(163, 235, 178, 250, 166, 238, 179, 251)(168, 240, 183, 255, 176, 248, 184, 256)(174, 246, 189, 261, 175, 247, 190, 262)(180, 252, 193, 265, 181, 253, 194, 266)(185, 257, 197, 269, 186, 258, 198, 270)(187, 259, 199, 271, 188, 260, 200, 272)(191, 263, 203, 275, 192, 264, 204, 276)(195, 267, 207, 279, 196, 268, 208, 280)(201, 273, 210, 282, 202, 274, 209, 281)(205, 277, 214, 286, 206, 278, 213, 285)(211, 283, 216, 288, 212, 284, 215, 287)
	L = (1, 148)(2, 152)(3, 156)(4, 145)(5, 157)(6, 161)(7, 163)(8, 146)(9, 166)(10, 168)(11, 169)(12, 147)(13, 149)(14, 174)(15, 175)(16, 176)(17, 150)(18, 177)(19, 151)(20, 180)(21, 181)(22, 153)(23, 182)(24, 154)(25, 155)(26, 185)(27, 186)(28, 187)(29, 188)(30, 158)(31, 159)(32, 160)(33, 162)(34, 191)(35, 192)(36, 164)(37, 165)(38, 167)(39, 195)(40, 196)(41, 170)(42, 171)(43, 172)(44, 173)(45, 201)(46, 202)(47, 178)(48, 179)(49, 205)(50, 206)(51, 183)(52, 184)(53, 209)(54, 210)(55, 211)(56, 212)(57, 189)(58, 190)(59, 213)(60, 214)(61, 193)(62, 194)(63, 215)(64, 216)(65, 197)(66, 198)(67, 199)(68, 200)(69, 203)(70, 204)(71, 207)(72, 208)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1736
Graph:: simple bipartite
	v = 42 e = 144 f = 48
	degree seq :: [ 6^24, 8^18 ]

E28.1736 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x C6) : C2 (small group id <72, 35>)
Aut   = D8 x ((C3 x C3) : C2) (small group id <144, 172>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, (Y3 * Y2)^3, (Y3 * Y1^-2)^2, Y2 * Y1^-1 * Y2 * Y3 * Y1 * Y3, (Y1^-1 * Y2 * Y1^-1)^2, Y1^6, Y2 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 6, 78, 18, 90, 17, 89, 5, 77)(3, 75, 9, 81, 27, 99, 43, 115, 19, 91, 11, 83)(4, 76, 12, 84, 34, 106, 45, 117, 20, 92, 14, 86)(7, 79, 21, 93, 15, 87, 38, 110, 40, 112, 23, 95)(8, 80, 24, 96, 16, 88, 39, 111, 41, 113, 26, 98)(10, 82, 22, 94, 42, 114, 61, 133, 53, 125, 31, 103)(13, 85, 25, 97, 44, 116, 62, 134, 59, 131, 36, 108)(28, 100, 46, 118, 32, 104, 49, 121, 64, 136, 54, 126)(29, 101, 47, 119, 33, 105, 50, 122, 65, 137, 56, 128)(30, 102, 55, 127, 69, 141, 72, 144, 63, 135, 57, 129)(35, 107, 51, 123, 37, 109, 52, 124, 66, 138, 60, 132)(48, 120, 67, 139, 58, 130, 70, 142, 71, 143, 68, 140)(145, 217, 147, 219)(146, 218, 151, 223)(148, 220, 157, 229)(149, 221, 159, 231)(150, 222, 163, 235)(152, 224, 169, 241)(153, 225, 172, 244)(154, 226, 174, 246)(155, 227, 176, 248)(156, 228, 179, 251)(158, 230, 181, 253)(160, 232, 180, 252)(161, 233, 171, 243)(162, 234, 184, 256)(164, 236, 188, 260)(165, 237, 190, 262)(166, 238, 192, 264)(167, 239, 193, 265)(168, 240, 195, 267)(170, 242, 196, 268)(173, 245, 199, 271)(175, 247, 202, 274)(177, 249, 201, 273)(178, 250, 203, 275)(182, 254, 198, 270)(183, 255, 204, 276)(185, 257, 206, 278)(186, 258, 207, 279)(187, 259, 208, 280)(189, 261, 210, 282)(191, 263, 211, 283)(194, 266, 212, 284)(197, 269, 213, 285)(200, 272, 214, 286)(205, 277, 215, 287)(209, 281, 216, 288)
	L = (1, 148)(2, 152)(3, 154)(4, 145)(5, 160)(6, 164)(7, 166)(8, 146)(9, 173)(10, 147)(11, 177)(12, 172)(13, 174)(14, 176)(15, 175)(16, 149)(17, 178)(18, 185)(19, 186)(20, 150)(21, 191)(22, 151)(23, 194)(24, 190)(25, 192)(26, 193)(27, 197)(28, 156)(29, 153)(30, 157)(31, 159)(32, 158)(33, 155)(34, 161)(35, 199)(36, 202)(37, 201)(38, 200)(39, 198)(40, 205)(41, 162)(42, 163)(43, 209)(44, 207)(45, 208)(46, 168)(47, 165)(48, 169)(49, 170)(50, 167)(51, 211)(52, 212)(53, 171)(54, 183)(55, 179)(56, 182)(57, 181)(58, 180)(59, 213)(60, 214)(61, 184)(62, 215)(63, 188)(64, 189)(65, 187)(66, 216)(67, 195)(68, 196)(69, 203)(70, 204)(71, 206)(72, 210)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.1735
Graph:: simple bipartite
	v = 48 e = 144 f = 42
	degree seq :: [ 4^36, 12^12 ]

E28.1737 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x C6) : C2 (small group id <72, 35>)
Aut   = D8 x ((C3 x C3) : C2) (small group id <144, 172>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^2, (R * Y3)^2, Y1^-2 * Y3^2, (Y3 * Y2^-1)^2, (R * Y1)^2, (Y2^-1 * Y1^-1)^2, (Y2 * Y1^-1)^2, (Y2^-1 * Y3^-1)^2, Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, (R * Y1 * Y2)^2, Y2 * Y1^2 * Y2^-1 * Y1^-2, Y2^6 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 8, 80, 5, 77)(3, 75, 13, 85, 23, 95, 11, 83)(4, 76, 17, 89, 7, 79, 19, 91)(6, 78, 20, 92, 24, 96, 9, 81)(10, 82, 28, 100, 12, 84, 30, 102)(14, 86, 32, 104, 44, 116, 33, 105)(15, 87, 37, 109, 16, 88, 38, 110)(18, 90, 40, 112, 21, 93, 39, 111)(22, 94, 25, 97, 45, 117, 42, 114)(26, 98, 49, 121, 27, 99, 50, 122)(29, 101, 52, 124, 31, 103, 51, 123)(34, 106, 55, 127, 62, 134, 46, 118)(35, 107, 58, 130, 36, 108, 59, 131)(41, 113, 60, 132, 43, 115, 61, 133)(47, 119, 65, 137, 48, 120, 66, 138)(53, 125, 67, 139, 54, 126, 68, 140)(56, 128, 69, 141, 57, 129, 70, 142)(63, 135, 71, 143, 64, 136, 72, 144)(145, 217, 147, 219, 158, 230, 178, 250, 166, 238, 150, 222)(146, 218, 153, 225, 169, 241, 190, 262, 176, 248, 155, 227)(148, 220, 162, 234, 185, 257, 201, 273, 179, 251, 160, 232)(149, 221, 164, 236, 186, 258, 199, 271, 177, 249, 157, 229)(151, 223, 165, 237, 187, 259, 200, 272, 180, 252, 159, 231)(152, 224, 167, 239, 188, 260, 206, 278, 189, 261, 168, 240)(154, 226, 173, 245, 197, 269, 208, 280, 191, 263, 171, 243)(156, 228, 175, 247, 198, 270, 207, 279, 192, 264, 170, 242)(161, 233, 181, 253, 202, 274, 213, 285, 204, 276, 183, 255)(163, 235, 182, 254, 203, 275, 214, 286, 205, 277, 184, 256)(172, 244, 193, 265, 209, 281, 215, 287, 211, 283, 195, 267)(174, 246, 194, 266, 210, 282, 216, 288, 212, 284, 196, 268)
	L = (1, 148)(2, 154)(3, 159)(4, 152)(5, 156)(6, 165)(7, 145)(8, 151)(9, 170)(10, 149)(11, 175)(12, 146)(13, 173)(14, 179)(15, 167)(16, 147)(17, 174)(18, 150)(19, 172)(20, 171)(21, 168)(22, 185)(23, 160)(24, 162)(25, 191)(26, 164)(27, 153)(28, 161)(29, 155)(30, 163)(31, 157)(32, 197)(33, 198)(34, 200)(35, 188)(36, 158)(37, 195)(38, 196)(39, 193)(40, 194)(41, 189)(42, 192)(43, 166)(44, 180)(45, 187)(46, 207)(47, 186)(48, 169)(49, 184)(50, 183)(51, 182)(52, 181)(53, 177)(54, 176)(55, 208)(56, 206)(57, 178)(58, 212)(59, 211)(60, 210)(61, 209)(62, 201)(63, 199)(64, 190)(65, 204)(66, 205)(67, 202)(68, 203)(69, 215)(70, 216)(71, 214)(72, 213)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.1734
Graph:: simple bipartite
	v = 30 e = 144 f = 60
	degree seq :: [ 8^18, 12^12 ]

E28.1738 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^4, (R * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y3 * Y2^-1 * Y1, Y1 * Y2 * Y3^-1 * Y1 * Y3^-1, Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y3 * Y1, (Y2^-1 * Y3^2)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3 * Y1 * Y2^-1 * Y1 * Y3^-1, (Y3^-1 * Y2 * Y3^-1 * Y2^-1)^2, (Y2^-1 * Y3 * Y2 * Y1)^2, (Y2 * Y3 * Y2 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 14, 86)(5, 77, 18, 90)(6, 78, 21, 93)(7, 79, 24, 96)(8, 80, 13, 85)(9, 81, 28, 100)(10, 82, 17, 89)(12, 84, 35, 107)(15, 87, 30, 102)(16, 88, 44, 116)(19, 91, 41, 113)(20, 92, 26, 98)(22, 94, 54, 126)(23, 95, 55, 127)(25, 97, 40, 112)(27, 99, 60, 132)(29, 101, 39, 111)(31, 103, 50, 122)(32, 104, 38, 110)(33, 105, 56, 128)(34, 106, 62, 134)(36, 108, 66, 138)(37, 109, 42, 114)(43, 115, 69, 141)(45, 117, 67, 139)(46, 118, 53, 125)(47, 119, 57, 129)(48, 120, 63, 135)(49, 121, 65, 137)(51, 123, 64, 136)(52, 124, 58, 130)(59, 131, 71, 143)(61, 133, 68, 140)(70, 142, 72, 144)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 159, 231, 161, 233)(150, 222, 166, 238, 167, 239)(152, 224, 170, 242, 165, 237)(154, 226, 175, 247, 176, 248)(155, 227, 177, 249, 178, 250)(156, 228, 180, 252, 182, 254)(157, 229, 183, 255, 184, 256)(158, 230, 185, 257, 179, 251)(160, 232, 189, 261, 181, 253)(162, 234, 191, 263, 192, 264)(163, 235, 193, 265, 194, 266)(164, 236, 195, 267, 196, 268)(168, 240, 200, 272, 201, 273)(169, 241, 202, 274, 199, 271)(171, 243, 205, 277, 186, 258)(172, 244, 206, 278, 207, 279)(173, 245, 208, 280, 198, 270)(174, 246, 209, 281, 210, 282)(187, 259, 214, 286, 212, 284)(188, 260, 197, 269, 213, 285)(190, 262, 215, 287, 204, 276)(203, 275, 216, 288, 211, 283)
	L = (1, 148)(2, 152)(3, 156)(4, 160)(5, 163)(6, 145)(7, 169)(8, 171)(9, 173)(10, 146)(11, 170)(12, 181)(13, 147)(14, 151)(15, 187)(16, 150)(17, 190)(18, 165)(19, 189)(20, 149)(21, 197)(22, 172)(23, 168)(24, 159)(25, 186)(26, 203)(27, 154)(28, 161)(29, 205)(30, 153)(31, 162)(32, 155)(33, 202)(34, 208)(35, 177)(36, 212)(37, 157)(38, 204)(39, 206)(40, 200)(41, 191)(42, 158)(43, 167)(44, 185)(45, 164)(46, 166)(47, 199)(48, 198)(49, 214)(50, 215)(51, 207)(52, 201)(53, 175)(54, 213)(55, 188)(56, 180)(57, 193)(58, 211)(59, 176)(60, 183)(61, 174)(62, 182)(63, 194)(64, 216)(65, 192)(66, 178)(67, 179)(68, 184)(69, 209)(70, 196)(71, 195)(72, 210)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1757
Graph:: simple bipartite
	v = 60 e = 144 f = 30
	degree seq :: [ 4^36, 6^24 ]

E28.1739 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^4, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3 * Y2 * Y1, Y1 * Y3 * Y2 * Y1 * Y3, Y1 * Y2^-1 * Y3^-1 * Y1 * Y3^-1, Y3 * Y2 * Y3^-2 * Y2 * Y3, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4, Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y3^-1 * Y2^-1 * Y1 * Y2)^2, (Y2 * Y3^-1 * Y2 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 14, 86)(5, 77, 18, 90)(6, 78, 21, 93)(7, 79, 24, 96)(8, 80, 20, 92)(9, 81, 29, 101)(10, 82, 15, 87)(12, 84, 35, 107)(13, 85, 28, 100)(16, 88, 44, 116)(17, 89, 26, 98)(19, 91, 41, 113)(22, 94, 54, 126)(23, 95, 55, 127)(25, 97, 52, 124)(27, 99, 62, 134)(30, 102, 51, 123)(31, 103, 49, 121)(32, 104, 36, 108)(33, 105, 56, 128)(34, 106, 64, 136)(37, 109, 68, 140)(38, 110, 61, 133)(39, 111, 66, 138)(40, 112, 59, 131)(42, 114, 45, 117)(43, 115, 53, 125)(46, 118, 70, 142)(47, 119, 57, 129)(48, 120, 65, 137)(50, 122, 60, 132)(58, 130, 71, 143)(63, 135, 67, 139)(69, 141, 72, 144)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 159, 231, 161, 233)(150, 222, 166, 238, 167, 239)(152, 224, 165, 237, 172, 244)(154, 226, 175, 247, 176, 248)(155, 227, 177, 249, 178, 250)(156, 228, 180, 252, 182, 254)(157, 229, 183, 255, 184, 256)(158, 230, 185, 257, 179, 251)(160, 232, 189, 261, 181, 253)(162, 234, 191, 263, 192, 264)(163, 235, 193, 265, 194, 266)(164, 236, 195, 267, 196, 268)(168, 240, 200, 272, 201, 273)(169, 241, 199, 271, 203, 275)(170, 242, 204, 276, 205, 277)(171, 243, 186, 258, 202, 274)(173, 245, 208, 280, 209, 281)(174, 246, 198, 270, 210, 282)(187, 259, 206, 278, 211, 283)(188, 260, 214, 286, 197, 269)(190, 262, 215, 287, 213, 285)(207, 279, 212, 284, 216, 288)
	L = (1, 148)(2, 152)(3, 156)(4, 160)(5, 163)(6, 145)(7, 169)(8, 171)(9, 174)(10, 146)(11, 165)(12, 181)(13, 147)(14, 153)(15, 187)(16, 150)(17, 190)(18, 172)(19, 189)(20, 149)(21, 197)(22, 173)(23, 168)(24, 159)(25, 202)(26, 151)(27, 154)(28, 207)(29, 161)(30, 186)(31, 162)(32, 155)(33, 199)(34, 198)(35, 178)(36, 211)(37, 157)(38, 213)(39, 208)(40, 200)(41, 192)(42, 158)(43, 167)(44, 179)(45, 164)(46, 166)(47, 203)(48, 210)(49, 206)(50, 215)(51, 209)(52, 201)(53, 176)(54, 188)(55, 214)(56, 180)(57, 193)(58, 170)(59, 216)(60, 191)(61, 177)(62, 196)(63, 175)(64, 182)(65, 194)(66, 212)(67, 184)(68, 185)(69, 183)(70, 205)(71, 195)(72, 204)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1756
Graph:: simple bipartite
	v = 60 e = 144 f = 30
	degree seq :: [ 4^36, 6^24 ]

E28.1740 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^3, (R * Y3)^2, Y2^4, (Y3 * Y1)^2, (R * Y1)^2, (Y3 * Y2^-1 * Y1^-1)^2, (Y2 * Y1^-1 * Y2)^2, (Y3 * Y2^-1 * Y1^-1)^2, (Y2^-2 * Y1^-1)^2, (R * Y2 * Y3)^2, Y3 * Y2^-1 * Y1 * Y3 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y3 * Y2^-2 * Y1 * Y3 * Y2, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y2^-2 * Y1^-1, Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y1 * Y2 * Y3, Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 10, 82, 13, 85)(4, 76, 14, 86, 8, 80)(6, 78, 19, 91, 21, 93)(7, 79, 22, 94, 25, 97)(9, 81, 28, 100, 30, 102)(11, 83, 34, 106, 23, 95)(12, 84, 36, 108, 32, 104)(15, 87, 42, 114, 29, 101)(16, 88, 44, 116, 24, 96)(17, 89, 45, 117, 47, 119)(18, 90, 48, 120, 50, 122)(20, 92, 41, 113, 51, 123)(26, 98, 61, 133, 49, 121)(27, 99, 62, 134, 46, 118)(31, 103, 65, 137, 54, 126)(33, 105, 55, 127, 67, 139)(35, 107, 56, 128, 43, 115)(37, 109, 68, 140, 57, 129)(38, 110, 58, 130, 66, 138)(39, 111, 69, 141, 59, 131)(40, 112, 60, 132, 71, 143)(52, 124, 63, 135, 70, 142)(53, 125, 72, 144, 64, 136)(145, 217, 147, 219, 155, 227, 150, 222)(146, 218, 151, 223, 167, 239, 153, 225)(148, 220, 159, 231, 187, 259, 160, 232)(149, 221, 161, 233, 178, 250, 162, 234)(152, 224, 170, 242, 179, 251, 171, 243)(154, 226, 175, 247, 165, 237, 177, 249)(156, 228, 181, 253, 195, 267, 182, 254)(157, 229, 183, 255, 163, 235, 184, 256)(158, 230, 185, 257, 200, 272, 180, 252)(164, 236, 196, 268, 176, 248, 197, 269)(166, 238, 198, 270, 174, 246, 199, 271)(168, 240, 201, 273, 186, 258, 202, 274)(169, 241, 203, 275, 172, 244, 204, 276)(173, 245, 207, 279, 188, 260, 208, 280)(189, 261, 209, 281, 194, 266, 211, 283)(190, 262, 212, 284, 205, 277, 210, 282)(191, 263, 213, 285, 192, 264, 215, 287)(193, 265, 214, 286, 206, 278, 216, 288)
	L = (1, 148)(2, 152)(3, 156)(4, 145)(5, 158)(6, 164)(7, 168)(8, 146)(9, 173)(10, 176)(11, 179)(12, 147)(13, 180)(14, 149)(15, 174)(16, 169)(17, 190)(18, 193)(19, 195)(20, 150)(21, 185)(22, 188)(23, 200)(24, 151)(25, 160)(26, 194)(27, 191)(28, 186)(29, 153)(30, 159)(31, 210)(32, 154)(33, 201)(34, 187)(35, 155)(36, 157)(37, 211)(38, 198)(39, 214)(40, 208)(41, 165)(42, 172)(43, 178)(44, 166)(45, 206)(46, 161)(47, 171)(48, 205)(49, 162)(50, 170)(51, 163)(52, 203)(53, 215)(54, 182)(55, 212)(56, 167)(57, 177)(58, 209)(59, 196)(60, 216)(61, 192)(62, 189)(63, 213)(64, 184)(65, 202)(66, 175)(67, 181)(68, 199)(69, 207)(70, 183)(71, 197)(72, 204)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1749
Graph:: simple bipartite
	v = 42 e = 144 f = 48
	degree seq :: [ 6^24, 8^18 ]

E28.1741 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^3, (Y3 * Y1)^2, (Y1^-1 * Y3)^2, (Y3 * Y1^-1)^2, Y2^4, (R * Y1)^2, (R * Y3)^2, (Y1 * Y3 * Y2^-1)^2, (R * Y2 * Y3)^2, (Y2^-2 * Y1^-1)^2, Y1^-1 * Y2^-1 * Y3 * Y1^2 * Y2^-1 * Y3, Y1 * Y2^-2 * Y3 * Y2^-2 * Y3, Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y1^-1, Y2 * Y1^-1 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y1^-1, Y2 * R * Y2 * Y1 * Y2^-1 * R * Y2^-1 * Y1^-1, Y1^-1 * Y2 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y1^-1 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 10, 82, 13, 85)(4, 76, 14, 86, 8, 80)(6, 78, 19, 91, 21, 93)(7, 79, 22, 94, 25, 97)(9, 81, 28, 100, 30, 102)(11, 83, 33, 105, 23, 95)(12, 84, 35, 107, 27, 99)(15, 87, 42, 114, 45, 117)(16, 88, 46, 118, 48, 120)(17, 89, 47, 119, 49, 121)(18, 90, 44, 116, 50, 122)(20, 92, 51, 123, 26, 98)(24, 96, 56, 128, 41, 113)(29, 101, 62, 134, 40, 112)(31, 103, 65, 137, 54, 126)(32, 104, 55, 127, 67, 139)(34, 106, 43, 115, 61, 133)(36, 108, 68, 140, 57, 129)(37, 109, 58, 130, 70, 142)(38, 110, 69, 141, 59, 131)(39, 111, 60, 132, 71, 143)(52, 124, 63, 135, 72, 144)(53, 125, 66, 138, 64, 136)(145, 217, 147, 219, 155, 227, 150, 222)(146, 218, 151, 223, 167, 239, 153, 225)(148, 220, 159, 231, 187, 259, 160, 232)(149, 221, 161, 233, 177, 249, 162, 234)(152, 224, 170, 242, 205, 277, 171, 243)(154, 226, 175, 247, 165, 237, 176, 248)(156, 228, 180, 252, 195, 267, 181, 253)(157, 229, 182, 254, 163, 235, 183, 255)(158, 230, 184, 256, 178, 250, 185, 257)(164, 236, 196, 268, 179, 251, 197, 269)(166, 238, 198, 270, 174, 246, 199, 271)(168, 240, 201, 273, 206, 278, 202, 274)(169, 241, 203, 275, 172, 244, 204, 276)(173, 245, 207, 279, 200, 272, 208, 280)(186, 258, 216, 288, 192, 264, 210, 282)(188, 260, 215, 287, 193, 265, 213, 285)(189, 261, 214, 286, 190, 262, 212, 284)(191, 263, 209, 281, 194, 266, 211, 283)
	L = (1, 148)(2, 152)(3, 156)(4, 145)(5, 158)(6, 164)(7, 168)(8, 146)(9, 173)(10, 171)(11, 178)(12, 147)(13, 179)(14, 149)(15, 188)(16, 191)(17, 190)(18, 186)(19, 170)(20, 150)(21, 195)(22, 185)(23, 187)(24, 151)(25, 200)(26, 163)(27, 154)(28, 184)(29, 153)(30, 206)(31, 207)(32, 210)(33, 205)(34, 155)(35, 157)(36, 204)(37, 213)(38, 202)(39, 212)(40, 172)(41, 166)(42, 162)(43, 167)(44, 159)(45, 194)(46, 161)(47, 160)(48, 193)(49, 192)(50, 189)(51, 165)(52, 209)(53, 199)(54, 216)(55, 197)(56, 169)(57, 215)(58, 182)(59, 214)(60, 180)(61, 177)(62, 174)(63, 175)(64, 211)(65, 196)(66, 176)(67, 208)(68, 183)(69, 181)(70, 203)(71, 201)(72, 198)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1748
Graph:: simple bipartite
	v = 42 e = 144 f = 48
	degree seq :: [ 6^24, 8^18 ]

E28.1742 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-2, Y1^3, (R * Y1)^2, Y2^4, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (Y2 * Y1 * Y2)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y2^-1 * Y1^-1)^2, (Y2 * Y3 * Y2)^2, (Y1^-1 * Y2 * Y3^-1)^2, (Y3 * Y2^-2)^2, Y2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, (Y2^-1 * Y1^-1)^4, Y2 * R * Y2 * Y1 * Y2^-1 * R * Y2^-1 * Y1^-1, Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 11, 83, 14, 86)(4, 76, 9, 81, 7, 79)(6, 78, 20, 92, 22, 94)(8, 80, 26, 98, 29, 101)(10, 82, 33, 105, 35, 107)(12, 84, 39, 111, 27, 99)(13, 85, 32, 104, 15, 87)(16, 88, 48, 120, 50, 122)(17, 89, 52, 124, 54, 126)(18, 90, 55, 127, 53, 125)(19, 91, 51, 123, 49, 121)(21, 93, 31, 103, 23, 95)(24, 96, 36, 108, 34, 106)(25, 97, 30, 102, 28, 100)(37, 109, 65, 137, 56, 128)(38, 110, 57, 129, 68, 140)(40, 112, 58, 130, 41, 113)(42, 114, 59, 131, 70, 142)(43, 115, 71, 143, 60, 132)(44, 116, 72, 144, 61, 133)(45, 117, 62, 134, 69, 141)(46, 118, 63, 135, 67, 139)(47, 119, 66, 138, 64, 136)(145, 217, 147, 219, 156, 228, 150, 222)(146, 218, 152, 224, 171, 243, 154, 226)(148, 220, 160, 232, 185, 257, 161, 233)(149, 221, 162, 234, 183, 255, 163, 235)(151, 223, 168, 240, 184, 256, 169, 241)(153, 225, 175, 247, 202, 274, 176, 248)(155, 227, 181, 253, 166, 238, 182, 254)(157, 229, 186, 258, 167, 239, 187, 259)(158, 230, 188, 260, 164, 236, 189, 261)(159, 231, 190, 262, 165, 237, 191, 263)(170, 242, 200, 272, 179, 251, 201, 273)(172, 244, 203, 275, 180, 252, 204, 276)(173, 245, 205, 277, 177, 249, 206, 278)(174, 246, 207, 279, 178, 250, 208, 280)(192, 264, 215, 287, 198, 270, 214, 286)(193, 265, 212, 284, 199, 271, 209, 281)(194, 266, 210, 282, 196, 268, 211, 283)(195, 267, 213, 285, 197, 269, 216, 288)
	L = (1, 148)(2, 153)(3, 157)(4, 146)(5, 151)(6, 165)(7, 145)(8, 172)(9, 149)(10, 178)(11, 176)(12, 184)(13, 155)(14, 159)(15, 147)(16, 193)(17, 197)(18, 198)(19, 194)(20, 175)(21, 164)(22, 167)(23, 150)(24, 179)(25, 173)(26, 169)(27, 185)(28, 170)(29, 174)(30, 152)(31, 166)(32, 158)(33, 168)(34, 177)(35, 180)(36, 154)(37, 208)(38, 211)(39, 202)(40, 183)(41, 156)(42, 213)(43, 205)(44, 204)(45, 214)(46, 212)(47, 200)(48, 163)(49, 192)(50, 195)(51, 160)(52, 162)(53, 196)(54, 199)(55, 161)(56, 210)(57, 190)(58, 171)(59, 189)(60, 216)(61, 215)(62, 186)(63, 182)(64, 209)(65, 191)(66, 181)(67, 201)(68, 207)(69, 203)(70, 206)(71, 188)(72, 187)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1751
Graph:: simple bipartite
	v = 42 e = 144 f = 48
	degree seq :: [ 6^24, 8^18 ]

E28.1743 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^4, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y2^-1 * Y1 * Y3 * Y2^-1, Y1^-1 * Y3^-1 * Y2 * Y3^-1 * Y2, Y2 * R * Y2^-1 * R * Y1^-1, Y3^3 * Y1^-1 * Y3 * Y1^-1, (Y1 * Y2^-1 * Y3^-1)^2, (Y2 * Y1 * Y2)^2, Y2^-1 * Y1 * Y2 * Y3^-2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 12, 84, 15, 87)(4, 76, 17, 89, 20, 92)(6, 78, 25, 97, 27, 99)(7, 79, 29, 101, 9, 81)(8, 80, 33, 105, 36, 108)(10, 82, 38, 110, 39, 111)(11, 83, 41, 113, 23, 95)(13, 85, 48, 120, 34, 106)(14, 86, 21, 93, 35, 107)(16, 88, 43, 115, 31, 103)(18, 90, 28, 100, 40, 112)(19, 91, 37, 109, 57, 129)(22, 94, 55, 127, 56, 128)(24, 96, 58, 130, 60, 132)(26, 98, 30, 102, 42, 114)(32, 104, 44, 116, 46, 118)(45, 117, 68, 140, 62, 134)(47, 119, 66, 138, 53, 125)(49, 121, 51, 123, 69, 141)(50, 122, 70, 142, 54, 126)(52, 124, 71, 143, 65, 137)(59, 131, 61, 133, 67, 139)(63, 135, 64, 136, 72, 144)(145, 217, 147, 219, 157, 229, 150, 222)(146, 218, 152, 224, 178, 250, 154, 226)(148, 220, 162, 234, 194, 266, 165, 237)(149, 221, 166, 238, 192, 264, 168, 240)(151, 223, 174, 246, 193, 265, 175, 247)(153, 225, 172, 244, 195, 267, 158, 230)(155, 227, 186, 258, 207, 279, 187, 259)(156, 228, 189, 261, 171, 243, 190, 262)(159, 231, 196, 268, 169, 241, 181, 253)(160, 232, 161, 233, 170, 242, 198, 270)(163, 235, 200, 272, 215, 287, 202, 274)(164, 236, 203, 275, 214, 286, 191, 263)(167, 239, 184, 256, 208, 280, 179, 251)(173, 245, 205, 277, 213, 285, 197, 269)(176, 248, 177, 249, 206, 278, 183, 255)(180, 252, 209, 281, 182, 254, 201, 273)(185, 257, 211, 283, 216, 288, 210, 282)(188, 260, 199, 271, 212, 284, 204, 276)
	L = (1, 148)(2, 153)(3, 158)(4, 163)(5, 167)(6, 170)(7, 145)(8, 179)(9, 181)(10, 174)(11, 146)(12, 175)(13, 193)(14, 180)(15, 197)(16, 147)(17, 149)(18, 168)(19, 185)(20, 188)(21, 159)(22, 165)(23, 201)(24, 186)(25, 162)(26, 204)(27, 203)(28, 150)(29, 190)(30, 171)(31, 152)(32, 151)(33, 187)(34, 207)(35, 200)(36, 210)(37, 164)(38, 172)(39, 205)(40, 154)(41, 176)(42, 183)(43, 166)(44, 155)(45, 213)(46, 161)(47, 156)(48, 198)(49, 206)(50, 157)(51, 178)(52, 195)(53, 177)(54, 189)(55, 160)(56, 191)(57, 173)(58, 184)(59, 202)(60, 211)(61, 169)(62, 216)(63, 212)(64, 192)(65, 208)(66, 199)(67, 182)(68, 214)(69, 209)(70, 196)(71, 194)(72, 215)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1755
Graph:: simple bipartite
	v = 42 e = 144 f = 48
	degree seq :: [ 6^24, 8^18 ]

E28.1744 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y3 * Y1)^2, Y2^4, (R * Y1)^2, (R * Y3)^2, R * Y2 * Y1 * R * Y2^-1, Y3^-1 * Y1^-1 * Y2 * Y3^-1 * Y2, Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1, (Y1 * Y3^-1 * Y2^-1)^2, Y3 * Y1^-1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1, (Y3^-1 * Y1 * Y2)^2, (Y1 * Y2^-2)^2, Y3^3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 12, 84, 15, 87)(4, 76, 17, 89, 20, 92)(6, 78, 25, 97, 27, 99)(7, 79, 29, 101, 9, 81)(8, 80, 33, 105, 35, 107)(10, 82, 38, 110, 40, 112)(11, 83, 41, 113, 23, 95)(13, 85, 47, 119, 34, 106)(14, 86, 31, 103, 43, 115)(16, 88, 36, 108, 21, 93)(18, 90, 39, 111, 26, 98)(19, 91, 37, 109, 57, 129)(22, 94, 56, 128, 50, 122)(24, 96, 60, 132, 58, 130)(28, 100, 42, 114, 30, 102)(32, 104, 44, 116, 54, 126)(45, 117, 68, 140, 62, 134)(46, 118, 63, 135, 53, 125)(48, 120, 55, 127, 70, 142)(49, 121, 69, 141, 51, 123)(52, 124, 71, 143, 65, 137)(59, 131, 67, 139, 61, 133)(64, 136, 66, 138, 72, 144)(145, 217, 147, 219, 157, 229, 150, 222)(146, 218, 152, 224, 178, 250, 154, 226)(148, 220, 162, 234, 193, 265, 165, 237)(149, 221, 166, 238, 191, 263, 168, 240)(151, 223, 174, 246, 192, 264, 175, 247)(153, 225, 170, 242, 199, 271, 160, 232)(155, 227, 186, 258, 208, 280, 187, 259)(156, 228, 189, 261, 171, 243, 181, 253)(158, 230, 161, 233, 172, 244, 195, 267)(159, 231, 196, 268, 169, 241, 198, 270)(163, 235, 200, 272, 212, 284, 202, 274)(164, 236, 203, 275, 213, 285, 197, 269)(167, 239, 183, 255, 210, 282, 180, 252)(173, 245, 205, 277, 214, 286, 190, 262)(176, 248, 179, 251, 209, 281, 182, 254)(177, 249, 206, 278, 184, 256, 201, 273)(185, 257, 211, 283, 216, 288, 207, 279)(188, 260, 194, 266, 215, 287, 204, 276)
	L = (1, 148)(2, 153)(3, 158)(4, 163)(5, 167)(6, 170)(7, 145)(8, 175)(9, 181)(10, 183)(11, 146)(12, 165)(13, 192)(14, 194)(15, 197)(16, 147)(17, 149)(18, 171)(19, 185)(20, 188)(21, 166)(22, 187)(23, 201)(24, 162)(25, 174)(26, 184)(27, 205)(28, 150)(29, 198)(30, 154)(31, 159)(32, 151)(33, 160)(34, 208)(35, 190)(36, 152)(37, 164)(38, 186)(39, 202)(40, 211)(41, 176)(42, 168)(43, 179)(44, 155)(45, 199)(46, 156)(47, 195)(48, 209)(49, 157)(50, 207)(51, 196)(52, 214)(53, 200)(54, 161)(55, 178)(56, 180)(57, 173)(58, 203)(59, 169)(60, 172)(61, 182)(62, 210)(63, 177)(64, 215)(65, 216)(66, 191)(67, 204)(68, 193)(69, 189)(70, 206)(71, 213)(72, 212)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1754
Graph:: simple bipartite
	v = 42 e = 144 f = 48
	degree seq :: [ 6^24, 8^18 ]

E28.1745 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^2, Y1 * Y3^-2, Y1^3, (Y2^-1 * Y3^-1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, Y2^4, (R * Y1)^2, (Y2^-2 * Y1)^2, Y2^-1 * Y3^-1 * Y2^3 * Y3^-1, (R * Y2 * Y3^-1)^2, (Y2 * Y1 * Y2)^2, (Y1^-1, Y2^-1, Y1^-1), (Y2 * Y3^-1 * Y2 * Y1^-1)^2, (Y3 * Y2^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 11, 83, 14, 86)(4, 76, 9, 81, 7, 79)(6, 78, 20, 92, 22, 94)(8, 80, 24, 96, 26, 98)(10, 82, 30, 102, 32, 104)(12, 84, 36, 108, 25, 97)(13, 85, 34, 106, 15, 87)(16, 88, 21, 93, 44, 116)(17, 89, 45, 117, 27, 99)(18, 90, 46, 118, 47, 119)(19, 91, 49, 121, 51, 123)(23, 95, 50, 122, 53, 125)(28, 100, 31, 103, 60, 132)(29, 101, 61, 133, 48, 120)(33, 105, 63, 135, 54, 126)(35, 107, 55, 127, 67, 139)(37, 109, 56, 128, 38, 110)(39, 111, 59, 131, 43, 115)(40, 112, 68, 140, 57, 129)(41, 113, 58, 130, 70, 142)(42, 114, 52, 124, 62, 134)(64, 136, 66, 138, 71, 143)(65, 137, 72, 144, 69, 141)(145, 217, 147, 219, 156, 228, 150, 222)(146, 218, 152, 224, 169, 241, 154, 226)(148, 220, 160, 232, 187, 259, 161, 233)(149, 221, 162, 234, 180, 252, 163, 235)(151, 223, 167, 239, 183, 255, 157, 229)(153, 225, 172, 244, 203, 275, 173, 245)(155, 227, 177, 249, 166, 238, 179, 251)(158, 230, 184, 256, 164, 236, 185, 257)(159, 231, 186, 258, 194, 266, 181, 253)(165, 237, 182, 254, 171, 243, 196, 268)(168, 240, 198, 270, 176, 248, 199, 271)(170, 242, 201, 273, 174, 246, 202, 274)(175, 247, 200, 272, 192, 264, 206, 278)(178, 250, 208, 280, 197, 269, 209, 281)(188, 260, 213, 285, 189, 261, 210, 282)(190, 262, 207, 279, 195, 267, 211, 283)(191, 263, 212, 284, 193, 265, 214, 286)(204, 276, 216, 288, 205, 277, 215, 287)
	L = (1, 148)(2, 153)(3, 157)(4, 146)(5, 151)(6, 165)(7, 145)(8, 161)(9, 149)(10, 175)(11, 178)(12, 181)(13, 155)(14, 159)(15, 147)(16, 150)(17, 168)(18, 173)(19, 194)(20, 188)(21, 164)(22, 160)(23, 163)(24, 189)(25, 182)(26, 171)(27, 152)(28, 154)(29, 190)(30, 204)(31, 174)(32, 172)(33, 183)(34, 158)(35, 210)(36, 200)(37, 180)(38, 156)(39, 207)(40, 209)(41, 196)(42, 185)(43, 177)(44, 166)(45, 170)(46, 205)(47, 192)(48, 162)(49, 197)(50, 193)(51, 167)(52, 202)(53, 195)(54, 187)(55, 215)(56, 169)(57, 213)(58, 206)(59, 198)(60, 176)(61, 191)(62, 214)(63, 203)(64, 179)(65, 212)(66, 199)(67, 208)(68, 216)(69, 184)(70, 186)(71, 211)(72, 201)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1750
Graph:: simple bipartite
	v = 42 e = 144 f = 48
	degree seq :: [ 6^24, 8^18 ]

E28.1746 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1^3, (Y1 * Y3)^2, (R * Y1)^2, (Y3^-1 * Y2^-1)^2, (Y1 * Y3)^2, (R * Y3)^2, Y2^4, Y2 * Y3^-1 * Y2 * Y1 * Y3^-1, Y2 * Y3^-1 * Y1^-1 * Y3 * Y2^-1 * Y1^-1, Y2 * Y1^-1 * R * Y2^-1 * R * Y1^-1, (Y2^-2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y1^-1, Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1, Y1 * Y3^3 * Y1 * Y3^-1, Y3 * Y2^-1 * Y1^-1 * Y2 * Y3^-1 * Y1^-1, Y3 * Y1^-1 * Y3^3 * Y1^-1, Y2^-1 * R * Y2^-1 * Y1^-1 * Y2^-1 * R * Y2^-1, Y3^-1 * Y2 * Y3^2 * Y2^-1 * Y1 * Y3^-1, Y3^-1 * Y2^-2 * Y1 * Y2^-1 * Y1^-1 * Y3 * Y2, (Y2 * R * Y2 * Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 12, 84, 15, 87)(4, 76, 17, 89, 20, 92)(6, 78, 25, 97, 27, 99)(7, 79, 28, 100, 9, 81)(8, 80, 31, 103, 34, 106)(10, 82, 39, 111, 41, 113)(11, 83, 42, 114, 23, 95)(13, 85, 46, 118, 32, 104)(14, 86, 49, 121, 33, 105)(16, 88, 52, 124, 35, 107)(18, 90, 36, 108, 55, 127)(19, 91, 37, 109, 57, 129)(21, 93, 60, 132, 38, 110)(22, 94, 53, 125, 56, 128)(24, 96, 58, 130, 61, 133)(26, 98, 40, 112, 29, 101)(30, 102, 43, 115, 45, 117)(44, 116, 69, 141, 64, 136)(47, 119, 66, 138, 54, 126)(48, 120, 71, 143, 70, 142)(50, 122, 68, 140, 65, 137)(51, 123, 72, 144, 67, 139)(59, 131, 63, 135, 62, 134)(145, 217, 147, 219, 157, 229, 150, 222)(146, 218, 152, 224, 176, 248, 154, 226)(148, 220, 162, 234, 198, 270, 165, 237)(149, 221, 166, 238, 190, 262, 168, 240)(151, 223, 173, 245, 194, 266, 158, 230)(153, 225, 180, 252, 212, 284, 182, 254)(155, 227, 170, 242, 192, 264, 177, 249)(156, 228, 188, 260, 171, 243, 189, 261)(159, 231, 195, 267, 169, 241, 181, 253)(160, 232, 164, 236, 203, 275, 191, 263)(161, 233, 184, 256, 210, 282, 193, 265)(163, 235, 200, 272, 216, 288, 202, 274)(167, 239, 199, 271, 215, 287, 204, 276)(172, 244, 207, 279, 209, 281, 179, 251)(174, 246, 175, 247, 208, 280, 185, 257)(178, 250, 211, 283, 183, 255, 201, 273)(186, 258, 206, 278, 214, 286, 196, 268)(187, 259, 197, 269, 213, 285, 205, 277)
	L = (1, 148)(2, 153)(3, 158)(4, 163)(5, 167)(6, 170)(7, 145)(8, 177)(9, 181)(10, 184)(11, 146)(12, 179)(13, 191)(14, 178)(15, 182)(16, 147)(17, 149)(18, 150)(19, 186)(20, 187)(21, 156)(22, 193)(23, 201)(24, 173)(25, 199)(26, 205)(27, 206)(28, 189)(29, 185)(30, 151)(31, 196)(32, 209)(33, 200)(34, 204)(35, 152)(36, 154)(37, 164)(38, 175)(39, 162)(40, 171)(41, 203)(42, 174)(43, 155)(44, 198)(45, 161)(46, 214)(47, 208)(48, 157)(49, 159)(50, 190)(51, 210)(52, 166)(53, 160)(54, 211)(55, 168)(56, 165)(57, 172)(58, 180)(59, 169)(60, 197)(61, 207)(62, 202)(63, 183)(64, 212)(65, 213)(66, 176)(67, 194)(68, 216)(69, 215)(70, 188)(71, 195)(72, 192)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1752
Graph:: simple bipartite
	v = 42 e = 144 f = 48
	degree seq :: [ 6^24, 8^18 ]

E28.1747 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y2 * Y3)^2, Y2^4, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (Y2^-1 * Y3^-1)^2, Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y3, (R * Y2 * Y3^-1)^2, Y2^-2 * Y1 * Y2^2 * Y1, Y3^-2 * Y2 * Y1 * Y2^-1 * Y1^-1, Y3^3 * Y1^-1 * Y3 * Y1^-1, Y2 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y3, Y1^-1 * Y2 * Y1^-1 * Y3^-2 * Y2^-1, Y2^-1 * Y1 * Y3 * Y1^-1 * Y2^-1 * Y3^-1 * Y1, Y2 * R * Y3^2 * Y1 * R * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 12, 84, 15, 87)(4, 76, 17, 89, 20, 92)(6, 78, 25, 97, 27, 99)(7, 79, 28, 100, 9, 81)(8, 80, 31, 103, 34, 106)(10, 82, 38, 110, 40, 112)(11, 83, 41, 113, 23, 95)(13, 85, 46, 118, 32, 104)(14, 86, 33, 105, 50, 122)(16, 88, 21, 93, 37, 109)(18, 90, 56, 128, 35, 107)(19, 91, 36, 108, 60, 132)(22, 94, 59, 131, 49, 121)(24, 96, 58, 130, 61, 133)(26, 98, 62, 134, 39, 111)(29, 101, 55, 127, 42, 114)(30, 102, 43, 115, 54, 126)(44, 116, 69, 141, 64, 136)(45, 117, 63, 135, 53, 125)(47, 119, 65, 137, 66, 138)(48, 120, 51, 123, 68, 140)(52, 124, 71, 143, 67, 139)(57, 129, 70, 142, 72, 144)(145, 217, 147, 219, 157, 229, 150, 222)(146, 218, 152, 224, 176, 248, 154, 226)(148, 220, 162, 234, 201, 273, 165, 237)(149, 221, 166, 238, 190, 262, 168, 240)(151, 223, 173, 245, 195, 267, 158, 230)(153, 225, 179, 251, 212, 284, 181, 253)(155, 227, 186, 258, 210, 282, 177, 249)(156, 228, 188, 260, 171, 243, 180, 252)(159, 231, 196, 268, 169, 241, 198, 270)(160, 232, 167, 239, 200, 272, 191, 263)(161, 233, 199, 271, 216, 288, 194, 266)(163, 235, 203, 275, 213, 285, 205, 277)(164, 236, 206, 278, 214, 286, 207, 279)(170, 242, 192, 264, 197, 269, 172, 244)(174, 246, 178, 250, 211, 283, 182, 254)(175, 247, 208, 280, 184, 256, 204, 276)(183, 255, 209, 281, 189, 261, 185, 257)(187, 259, 193, 265, 215, 287, 202, 274)
	L = (1, 148)(2, 153)(3, 158)(4, 163)(5, 167)(6, 170)(7, 145)(8, 177)(9, 180)(10, 183)(11, 146)(12, 181)(13, 191)(14, 193)(15, 197)(16, 147)(17, 149)(18, 150)(19, 185)(20, 187)(21, 152)(22, 194)(23, 204)(24, 206)(25, 179)(26, 184)(27, 173)(28, 198)(29, 182)(30, 151)(31, 160)(32, 201)(33, 159)(34, 189)(35, 154)(36, 164)(37, 166)(38, 200)(39, 205)(40, 186)(41, 174)(42, 202)(43, 155)(44, 209)(45, 156)(46, 212)(47, 211)(48, 157)(49, 207)(50, 178)(51, 188)(52, 210)(53, 203)(54, 161)(55, 169)(56, 168)(57, 215)(58, 162)(59, 165)(60, 172)(61, 199)(62, 171)(63, 175)(64, 214)(65, 176)(66, 208)(67, 216)(68, 196)(69, 192)(70, 190)(71, 195)(72, 213)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1753
Graph:: simple bipartite
	v = 42 e = 144 f = 48
	degree seq :: [ 6^24, 8^18 ]

E28.1748 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y1^-2 * Y3 * Y1^2, (R * Y2 * Y3)^2, Y1^6, (Y3 * Y2)^3, (Y2 * Y3 * Y1^-1)^2, Y3 * Y2 * Y1^-1 * Y2 * Y1^-2 * Y2 * Y1^-1, (Y3 * Y1 * Y2 * Y1)^2, Y3 * Y1^-2 * Y2 * Y1^2 * Y3 * Y2, Y1 * Y3 * Y1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y3, Y3 * Y2 * Y3 * Y1^2 * Y3 * Y1^-2, (Y2 * Y1 * Y3 * Y1^-1)^2, Y3 * Y2 * Y1^-1 * Y3 * Y1^-2 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 6, 78, 18, 90, 17, 89, 5, 77)(3, 75, 9, 81, 27, 99, 65, 137, 34, 106, 11, 83)(4, 76, 12, 84, 19, 91, 48, 120, 40, 112, 14, 86)(7, 79, 21, 93, 53, 125, 44, 116, 16, 88, 23, 95)(8, 80, 24, 96, 46, 118, 68, 140, 64, 136, 26, 98)(10, 82, 30, 102, 49, 121, 43, 115, 62, 134, 25, 97)(13, 85, 37, 109, 51, 123, 22, 94, 56, 128, 38, 110)(15, 87, 41, 113, 57, 129, 69, 141, 47, 119, 42, 114)(20, 92, 50, 122, 45, 117, 67, 139, 31, 103, 52, 124)(28, 100, 63, 135, 36, 108, 60, 132, 33, 105, 58, 130)(29, 101, 66, 138, 71, 143, 72, 144, 70, 142, 55, 127)(32, 104, 61, 133, 39, 111, 59, 131, 35, 107, 54, 126)(145, 217, 147, 219)(146, 218, 151, 223)(148, 220, 157, 229)(149, 221, 159, 231)(150, 222, 163, 235)(152, 224, 169, 241)(153, 225, 172, 244)(154, 226, 175, 247)(155, 227, 176, 248)(156, 228, 179, 251)(158, 230, 173, 245)(160, 232, 187, 259)(161, 233, 189, 261)(162, 234, 190, 262)(164, 236, 195, 267)(165, 237, 198, 270)(166, 238, 201, 273)(167, 239, 202, 274)(168, 240, 204, 276)(170, 242, 199, 271)(171, 243, 193, 265)(174, 246, 191, 263)(177, 249, 192, 264)(178, 250, 200, 272)(180, 252, 211, 283)(181, 253, 208, 280)(182, 254, 197, 269)(183, 255, 194, 266)(184, 256, 206, 278)(185, 257, 205, 277)(186, 258, 207, 279)(188, 260, 210, 282)(196, 268, 214, 286)(203, 275, 212, 284)(209, 281, 215, 287)(213, 285, 216, 288)
	L = (1, 148)(2, 152)(3, 154)(4, 145)(5, 160)(6, 164)(7, 166)(8, 146)(9, 173)(10, 147)(11, 177)(12, 180)(13, 175)(14, 183)(15, 181)(16, 149)(17, 178)(18, 191)(19, 193)(20, 150)(21, 199)(22, 151)(23, 203)(24, 205)(25, 201)(26, 207)(27, 195)(28, 194)(29, 153)(30, 197)(31, 157)(32, 196)(33, 155)(34, 161)(35, 209)(36, 156)(37, 159)(38, 190)(39, 158)(40, 200)(41, 210)(42, 198)(43, 208)(44, 204)(45, 206)(46, 182)(47, 162)(48, 214)(49, 163)(50, 172)(51, 171)(52, 176)(53, 174)(54, 186)(55, 165)(56, 184)(57, 169)(58, 213)(59, 167)(60, 188)(61, 168)(62, 189)(63, 170)(64, 187)(65, 179)(66, 185)(67, 215)(68, 216)(69, 202)(70, 192)(71, 211)(72, 212)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.1741
Graph:: simple bipartite
	v = 48 e = 144 f = 42
	degree seq :: [ 4^36, 12^12 ]

E28.1749 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y3)^2, (R * Y1^-1)^2, (R * Y2 * Y3)^2, (Y3 * Y1 * Y2)^2, Y1^6, (Y3 * Y2)^3, Y3 * Y1^-2 * Y2 * Y1^2, Y2 * Y1^-2 * Y3 * Y1^-1 * Y3 * Y2 * Y1, Y1^-1 * Y3 * Y1 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1, Y1^-1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1^-2, (Y3 * Y1)^4, Y2 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 6, 78, 18, 90, 17, 89, 5, 77)(3, 75, 9, 81, 20, 92, 51, 123, 34, 106, 11, 83)(4, 76, 12, 84, 35, 107, 66, 138, 40, 112, 14, 86)(7, 79, 21, 93, 47, 119, 69, 141, 59, 131, 23, 95)(8, 80, 24, 96, 60, 132, 42, 114, 15, 87, 26, 98)(10, 82, 29, 101, 49, 121, 25, 97, 62, 134, 31, 103)(13, 85, 37, 109, 52, 124, 41, 113, 56, 128, 22, 94)(16, 88, 43, 115, 55, 127, 68, 140, 46, 118, 44, 116)(19, 91, 48, 120, 45, 117, 65, 137, 30, 102, 50, 122)(27, 99, 54, 126, 38, 110, 64, 136, 36, 108, 57, 129)(28, 100, 61, 133, 39, 111, 53, 125, 32, 104, 63, 135)(33, 105, 67, 139, 71, 143, 72, 144, 70, 142, 58, 130)(145, 217, 147, 219)(146, 218, 151, 223)(148, 220, 157, 229)(149, 221, 159, 231)(150, 222, 163, 235)(152, 224, 169, 241)(153, 225, 171, 243)(154, 226, 174, 246)(155, 227, 176, 248)(156, 228, 177, 249)(158, 230, 182, 254)(160, 232, 173, 245)(161, 233, 184, 256)(162, 234, 190, 262)(164, 236, 196, 268)(165, 237, 197, 269)(166, 238, 199, 271)(167, 239, 201, 273)(168, 240, 202, 274)(170, 242, 207, 279)(172, 244, 210, 282)(175, 247, 191, 263)(178, 250, 206, 278)(179, 251, 193, 265)(180, 252, 192, 264)(181, 253, 204, 276)(183, 255, 194, 266)(185, 257, 203, 275)(186, 258, 198, 270)(187, 259, 211, 283)(188, 260, 205, 277)(189, 261, 200, 272)(195, 267, 214, 286)(208, 280, 212, 284)(209, 281, 215, 287)(213, 285, 216, 288)
	L = (1, 148)(2, 152)(3, 154)(4, 145)(5, 160)(6, 164)(7, 166)(8, 146)(9, 172)(10, 147)(11, 177)(12, 180)(13, 174)(14, 183)(15, 185)(16, 149)(17, 189)(18, 191)(19, 193)(20, 150)(21, 198)(22, 151)(23, 202)(24, 205)(25, 199)(26, 208)(27, 209)(28, 153)(29, 203)(30, 157)(31, 204)(32, 192)(33, 155)(34, 200)(35, 196)(36, 156)(37, 190)(38, 195)(39, 158)(40, 206)(41, 159)(42, 211)(43, 197)(44, 201)(45, 161)(46, 181)(47, 162)(48, 176)(49, 163)(50, 214)(51, 182)(52, 179)(53, 187)(54, 165)(55, 169)(56, 178)(57, 188)(58, 167)(59, 173)(60, 175)(61, 168)(62, 184)(63, 213)(64, 170)(65, 171)(66, 215)(67, 186)(68, 216)(69, 207)(70, 194)(71, 210)(72, 212)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.1740
Graph:: simple bipartite
	v = 48 e = 144 f = 42
	degree seq :: [ 4^36, 12^12 ]

E28.1750 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3 * Y2 * Y3^-1 * Y2, Y3^-3 * Y2, (R * Y1)^2, (Y2 * R)^2, (R * Y3)^2, (Y3 * Y1^-2)^2, Y1^-1 * Y2 * Y1^-2 * Y3^-1 * Y1^-1, Y1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y2, Y1^6, (Y3 * Y1 * Y3^-1 * Y1)^2, (Y2 * Y1^-1 * Y3^-1 * Y1^-1)^2, (Y3^-1 * Y1 * Y2 * Y1)^2, Y1^-2 * Y3^-1 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 7, 79, 23, 95, 19, 91, 5, 77)(3, 75, 11, 83, 35, 107, 60, 132, 25, 97, 13, 85)(4, 76, 15, 87, 45, 117, 61, 133, 26, 98, 16, 88)(6, 78, 21, 93, 52, 124, 58, 130, 24, 96, 22, 94)(8, 80, 27, 99, 20, 92, 53, 125, 55, 127, 29, 101)(9, 81, 31, 103, 17, 89, 49, 121, 56, 128, 32, 104)(10, 82, 33, 105, 18, 90, 51, 123, 54, 126, 34, 106)(12, 84, 39, 111, 57, 129, 50, 122, 69, 141, 30, 102)(14, 86, 43, 115, 59, 131, 28, 100, 65, 137, 44, 116)(36, 108, 70, 142, 42, 114, 63, 135, 48, 120, 66, 138)(37, 109, 62, 134, 40, 112, 68, 140, 46, 118, 72, 144)(38, 110, 67, 139, 41, 113, 71, 143, 47, 119, 64, 136)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 156, 228)(149, 221, 161, 233)(150, 222, 158, 230)(151, 223, 168, 240)(153, 225, 172, 244)(154, 226, 174, 246)(155, 227, 180, 252)(157, 229, 184, 256)(159, 231, 190, 262)(160, 232, 182, 254)(162, 234, 187, 259)(163, 235, 189, 261)(164, 236, 194, 266)(165, 237, 185, 257)(166, 238, 192, 264)(167, 239, 198, 270)(169, 241, 201, 273)(170, 242, 203, 275)(171, 243, 206, 278)(173, 245, 210, 282)(175, 247, 214, 286)(176, 248, 208, 280)(177, 249, 211, 283)(178, 250, 216, 288)(179, 251, 209, 281)(181, 253, 202, 274)(183, 255, 200, 272)(186, 258, 205, 277)(188, 260, 199, 271)(191, 263, 204, 276)(193, 265, 212, 284)(195, 267, 207, 279)(196, 268, 213, 285)(197, 269, 215, 287)
	L = (1, 148)(2, 153)(3, 156)(4, 158)(5, 162)(6, 145)(7, 169)(8, 172)(9, 174)(10, 146)(11, 181)(12, 150)(13, 185)(14, 147)(15, 191)(16, 180)(17, 187)(18, 194)(19, 196)(20, 149)(21, 186)(22, 190)(23, 199)(24, 201)(25, 203)(26, 151)(27, 207)(28, 154)(29, 211)(30, 152)(31, 215)(32, 206)(33, 212)(34, 214)(35, 163)(36, 202)(37, 160)(38, 155)(39, 198)(40, 165)(41, 205)(42, 157)(43, 164)(44, 200)(45, 213)(46, 204)(47, 166)(48, 159)(49, 210)(50, 161)(51, 208)(52, 209)(53, 216)(54, 188)(55, 183)(56, 167)(57, 170)(58, 182)(59, 168)(60, 192)(61, 184)(62, 195)(63, 176)(64, 171)(65, 189)(66, 177)(67, 193)(68, 173)(69, 179)(70, 197)(71, 178)(72, 175)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.1745
Graph:: simple bipartite
	v = 48 e = 144 f = 42
	degree seq :: [ 4^36, 12^12 ]

E28.1751 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y2 * Y3^-3, Y2 * Y3^-1 * Y2 * Y3, (Y2 * R)^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y1 * Y2 * Y3 * Y1 * Y3, Y1^6, (Y1^-2 * Y3^-1)^2, Y1^-1 * Y3 * Y1^-2 * Y2 * Y1^-1, Y1^-2 * Y3 * Y2 * Y1^-1 * Y3^-2 * Y1^-1, Y3 * Y1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, (Y2 * Y1^-1 * Y3^-1 * Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 7, 79, 23, 95, 19, 91, 5, 77)(3, 75, 11, 83, 35, 107, 61, 133, 26, 98, 13, 85)(4, 76, 15, 87, 45, 117, 58, 130, 24, 96, 16, 88)(6, 78, 21, 93, 52, 124, 60, 132, 25, 97, 22, 94)(8, 80, 27, 99, 18, 90, 51, 123, 56, 128, 29, 101)(9, 81, 31, 103, 20, 92, 53, 125, 54, 126, 32, 104)(10, 82, 33, 105, 17, 89, 49, 121, 55, 127, 34, 106)(12, 84, 39, 111, 57, 129, 30, 102, 69, 141, 40, 112)(14, 86, 44, 116, 59, 131, 50, 122, 65, 137, 28, 100)(36, 108, 72, 144, 42, 114, 64, 136, 46, 118, 66, 138)(37, 109, 68, 140, 43, 115, 71, 143, 47, 119, 63, 135)(38, 110, 62, 134, 41, 113, 67, 139, 48, 120, 70, 142)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 156, 228)(149, 221, 161, 233)(150, 222, 158, 230)(151, 223, 168, 240)(153, 225, 172, 244)(154, 226, 174, 246)(155, 227, 180, 252)(157, 229, 185, 257)(159, 231, 187, 259)(160, 232, 190, 262)(162, 234, 194, 266)(163, 235, 196, 268)(164, 236, 183, 255)(165, 237, 192, 264)(166, 238, 181, 253)(167, 239, 198, 270)(169, 241, 201, 273)(170, 242, 203, 275)(171, 243, 206, 278)(173, 245, 210, 282)(175, 247, 212, 284)(176, 248, 214, 286)(177, 249, 216, 288)(178, 250, 207, 279)(179, 251, 213, 285)(182, 254, 202, 274)(184, 256, 200, 272)(186, 258, 204, 276)(188, 260, 199, 271)(189, 261, 209, 281)(191, 263, 205, 277)(193, 265, 211, 283)(195, 267, 215, 287)(197, 269, 208, 280)
	L = (1, 148)(2, 153)(3, 156)(4, 158)(5, 162)(6, 145)(7, 169)(8, 172)(9, 174)(10, 146)(11, 181)(12, 150)(13, 186)(14, 147)(15, 185)(16, 191)(17, 194)(18, 183)(19, 179)(20, 149)(21, 190)(22, 182)(23, 199)(24, 201)(25, 203)(26, 151)(27, 207)(28, 154)(29, 211)(30, 152)(31, 210)(32, 215)(33, 214)(34, 208)(35, 209)(36, 166)(37, 202)(38, 155)(39, 161)(40, 198)(41, 204)(42, 159)(43, 157)(44, 200)(45, 163)(46, 205)(47, 165)(48, 160)(49, 212)(50, 164)(51, 216)(52, 213)(53, 206)(54, 188)(55, 184)(56, 167)(57, 170)(58, 180)(59, 168)(60, 187)(61, 192)(62, 178)(63, 197)(64, 171)(65, 196)(66, 193)(67, 175)(68, 173)(69, 189)(70, 195)(71, 177)(72, 176)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.1742
Graph:: simple bipartite
	v = 48 e = 144 f = 42
	degree seq :: [ 4^36, 12^12 ]

E28.1752 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3 * Y1^-2 * Y2, (R * Y1)^2, (R * Y3)^2, Y2 * Y3 * Y1^-2, Y3^-1 * Y1 * Y2 * Y3^-1 * Y1^-1 * Y2, Y3^2 * Y2 * Y3^-2 * Y2, (R * Y2 * Y3^-1)^2, Y3^6, Y3 * Y1^2 * Y2 * Y3 * Y2, (Y1^-1 * Y3^-2)^2, Y3^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y3 * Y1^-1, (Y3 * Y1 * Y3 * Y1^-1)^2, (Y2 * Y1^-1 * Y3^-1 * Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 7, 79, 23, 95, 18, 90, 5, 77)(3, 75, 11, 83, 4, 76, 14, 86, 39, 111, 12, 84)(6, 78, 20, 92, 44, 116, 69, 141, 42, 114, 21, 93)(8, 80, 26, 98, 9, 81, 29, 101, 62, 134, 27, 99)(10, 82, 32, 104, 17, 89, 47, 119, 64, 136, 33, 105)(13, 85, 30, 102, 55, 127, 31, 103, 22, 94, 41, 113)(15, 87, 28, 100, 16, 88, 45, 117, 57, 129, 34, 106)(19, 91, 48, 120, 52, 124, 71, 143, 66, 138, 49, 121)(24, 96, 53, 125, 25, 97, 56, 128, 46, 118, 54, 126)(35, 107, 61, 133, 36, 108, 68, 140, 50, 122, 60, 132)(37, 109, 59, 131, 38, 110, 67, 139, 51, 123, 58, 130)(40, 112, 65, 137, 43, 115, 70, 142, 72, 144, 63, 135)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 159, 231)(149, 221, 154, 226)(150, 222, 162, 234)(151, 223, 168, 240)(153, 225, 174, 246)(155, 227, 179, 251)(156, 228, 181, 253)(157, 229, 183, 255)(158, 230, 184, 256)(160, 232, 169, 241)(161, 233, 185, 257)(163, 235, 167, 239)(164, 236, 180, 252)(165, 237, 182, 254)(166, 238, 186, 258)(170, 242, 202, 274)(171, 243, 204, 276)(172, 244, 206, 278)(173, 245, 207, 279)(175, 247, 196, 268)(176, 248, 203, 275)(177, 249, 205, 277)(178, 250, 208, 280)(187, 259, 213, 285)(188, 260, 201, 273)(189, 261, 210, 282)(190, 262, 199, 271)(191, 263, 209, 281)(192, 264, 211, 283)(193, 265, 212, 284)(194, 266, 197, 269)(195, 267, 198, 270)(200, 272, 216, 288)(214, 286, 215, 287)
	L = (1, 148)(2, 153)(3, 151)(4, 160)(5, 161)(6, 145)(7, 169)(8, 167)(9, 175)(10, 146)(11, 180)(12, 182)(13, 147)(14, 187)(15, 183)(16, 190)(17, 174)(18, 188)(19, 149)(20, 194)(21, 195)(22, 150)(23, 196)(24, 162)(25, 201)(26, 203)(27, 205)(28, 152)(29, 209)(30, 206)(31, 210)(32, 211)(33, 212)(34, 154)(35, 158)(36, 213)(37, 155)(38, 164)(39, 199)(40, 156)(41, 208)(42, 157)(43, 165)(44, 159)(45, 163)(46, 166)(47, 214)(48, 202)(49, 204)(50, 200)(51, 197)(52, 185)(53, 179)(54, 181)(55, 168)(56, 184)(57, 186)(58, 173)(59, 191)(60, 170)(61, 176)(62, 189)(63, 171)(64, 172)(65, 177)(66, 178)(67, 215)(68, 192)(69, 216)(70, 193)(71, 207)(72, 198)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.1746
Graph:: simple bipartite
	v = 48 e = 144 f = 42
	degree seq :: [ 4^36, 12^12 ]

E28.1753 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y2 * Y3^-1 * Y1^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y1^4, Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-1, Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y3, (Y1^-1 * Y3^-2)^2, Y3^6, (Y3^-1, Y1)^2, (Y3 * Y1 * Y2 * Y1^-1)^2, (Y3 * Y1 * Y3 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 7, 79, 23, 95, 14, 86, 5, 77)(3, 75, 11, 83, 35, 107, 21, 93, 6, 78, 13, 85)(4, 76, 15, 87, 39, 111, 57, 129, 25, 97, 17, 89)(8, 80, 26, 98, 58, 130, 33, 105, 10, 82, 28, 100)(9, 81, 29, 101, 62, 134, 71, 143, 52, 124, 31, 103)(12, 84, 32, 104, 16, 88, 45, 117, 54, 126, 34, 106)(18, 90, 48, 120, 67, 139, 51, 123, 19, 91, 50, 122)(20, 92, 27, 99, 56, 128, 30, 102, 22, 94, 49, 121)(24, 96, 53, 125, 46, 118, 70, 142, 42, 114, 55, 127)(36, 108, 68, 140, 44, 116, 64, 136, 38, 110, 63, 135)(37, 109, 69, 141, 72, 144, 65, 137, 43, 115, 60, 132)(40, 112, 66, 138, 47, 119, 61, 133, 41, 113, 59, 131)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 151, 223)(149, 221, 162, 234)(150, 222, 164, 236)(153, 225, 167, 239)(154, 226, 176, 248)(155, 227, 180, 252)(156, 228, 179, 251)(157, 229, 184, 256)(158, 230, 168, 240)(159, 231, 182, 254)(160, 232, 183, 255)(161, 233, 185, 257)(163, 235, 178, 250)(165, 237, 181, 253)(166, 238, 186, 258)(169, 241, 200, 272)(170, 242, 203, 275)(171, 243, 202, 274)(172, 244, 207, 279)(173, 245, 205, 277)(174, 246, 206, 278)(175, 247, 208, 280)(177, 249, 204, 276)(187, 259, 201, 273)(188, 260, 197, 269)(189, 261, 196, 268)(190, 262, 198, 270)(191, 263, 199, 271)(192, 264, 210, 282)(193, 265, 211, 283)(194, 266, 212, 284)(195, 267, 213, 285)(209, 281, 215, 287)(214, 286, 216, 288)
	L = (1, 148)(2, 153)(3, 156)(4, 160)(5, 152)(6, 145)(7, 168)(8, 171)(9, 174)(10, 146)(11, 181)(12, 183)(13, 180)(14, 147)(15, 187)(16, 190)(17, 182)(18, 193)(19, 149)(20, 169)(21, 184)(22, 150)(23, 162)(24, 198)(25, 151)(26, 204)(27, 206)(28, 203)(29, 209)(30, 211)(31, 205)(32, 196)(33, 207)(34, 154)(35, 164)(36, 197)(37, 214)(38, 155)(39, 200)(40, 199)(41, 157)(42, 158)(43, 165)(44, 159)(45, 163)(46, 166)(47, 161)(48, 213)(49, 202)(50, 210)(51, 212)(52, 167)(53, 216)(54, 179)(55, 188)(56, 186)(57, 185)(58, 176)(59, 192)(60, 195)(61, 170)(62, 189)(63, 194)(64, 172)(65, 177)(66, 173)(67, 178)(68, 175)(69, 215)(70, 191)(71, 208)(72, 201)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.1747
Graph:: bipartite
	v = 48 e = 144 f = 42
	degree seq :: [ 4^36, 12^12 ]

E28.1754 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3 * Y2 * Y1^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y2 * Y3 * Y2 * Y1^-2, Y2 * Y3^-1 * Y1^4, (Y1^-1 * Y3^2)^2, Y3^2 * Y2 * Y3^-2 * Y2, Y1^-1 * Y2 * Y3 * Y1 * Y2 * Y3, (R * Y2 * Y3^-1)^2, Y3^6, (Y2 * Y1)^4, Y3^-2 * Y1^-1 * Y3 * Y1^2 * Y2 * Y1, Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 7, 79, 23, 95, 15, 87, 5, 77)(3, 75, 11, 83, 6, 78, 20, 92, 38, 110, 13, 85)(4, 76, 14, 86, 43, 115, 69, 141, 39, 111, 17, 89)(8, 80, 26, 98, 10, 82, 32, 104, 61, 133, 28, 100)(9, 81, 29, 101, 19, 91, 51, 123, 62, 134, 31, 103)(12, 84, 33, 105, 54, 126, 34, 106, 16, 88, 40, 112)(18, 90, 48, 120, 52, 124, 71, 143, 66, 138, 50, 122)(21, 93, 27, 99, 22, 94, 49, 121, 57, 129, 30, 102)(24, 96, 53, 125, 25, 97, 56, 128, 45, 117, 55, 127)(35, 107, 64, 136, 37, 109, 68, 140, 44, 116, 59, 131)(36, 108, 60, 132, 42, 114, 65, 137, 47, 119, 58, 130)(41, 113, 67, 139, 46, 118, 70, 142, 72, 144, 63, 135)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 159, 231)(149, 221, 153, 225)(150, 222, 165, 237)(151, 223, 168, 240)(154, 226, 177, 249)(155, 227, 179, 251)(156, 228, 182, 254)(157, 229, 180, 252)(158, 230, 181, 253)(160, 232, 183, 255)(161, 233, 186, 258)(162, 234, 167, 239)(163, 235, 184, 256)(164, 236, 185, 257)(166, 238, 169, 241)(170, 242, 202, 274)(171, 243, 205, 277)(172, 244, 203, 275)(173, 245, 204, 276)(174, 246, 206, 278)(175, 247, 208, 280)(176, 248, 207, 279)(178, 250, 196, 268)(187, 259, 201, 273)(188, 260, 197, 269)(189, 261, 198, 270)(190, 262, 213, 285)(191, 263, 199, 271)(192, 264, 209, 281)(193, 265, 210, 282)(194, 266, 212, 284)(195, 267, 211, 283)(200, 272, 216, 288)(214, 286, 215, 287)
	L = (1, 148)(2, 153)(3, 156)(4, 160)(5, 162)(6, 145)(7, 147)(8, 171)(9, 174)(10, 146)(11, 180)(12, 183)(13, 185)(14, 186)(15, 168)(16, 189)(17, 190)(18, 193)(19, 149)(20, 179)(21, 187)(22, 150)(23, 152)(24, 198)(25, 151)(26, 203)(27, 206)(28, 207)(29, 208)(30, 210)(31, 211)(32, 202)(33, 163)(34, 154)(35, 197)(36, 199)(37, 155)(38, 165)(39, 201)(40, 196)(41, 200)(42, 157)(43, 159)(44, 158)(45, 166)(46, 164)(47, 161)(48, 212)(49, 205)(50, 214)(51, 204)(52, 167)(53, 191)(54, 182)(55, 216)(56, 188)(57, 169)(58, 192)(59, 194)(60, 170)(61, 177)(62, 184)(63, 215)(64, 172)(65, 173)(66, 178)(67, 176)(68, 175)(69, 181)(70, 195)(71, 209)(72, 213)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.1744
Graph:: bipartite
	v = 48 e = 144 f = 42
	degree seq :: [ 4^36, 12^12 ]

E28.1755 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^-1 * Y2 * Y1^-2, Y3 * Y1^2 * Y2, (R * Y1)^2, (R * Y3)^2, (Y1^-1 * Y3^-1 * Y1^-1)^2, Y1^6, Y3 * Y2 * Y1 * Y3^2 * Y1, (R * Y2 * Y3^-1)^2, Y1^-1 * R * Y2 * R * Y3^-1 * Y1^-1, Y3 * Y2 * Y3^-2 * Y2 * Y3, (Y3^-1 * Y2)^3, (Y3^2 * Y1^-1)^2, Y3^6, Y3^-1 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1, Y3^2 * Y1 * Y3^-1 * Y1^-2 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 7, 79, 23, 95, 12, 84, 5, 77)(3, 75, 11, 83, 35, 107, 17, 89, 4, 76, 13, 85)(6, 78, 20, 92, 42, 114, 54, 126, 24, 96, 21, 93)(8, 80, 26, 98, 58, 130, 31, 103, 9, 81, 27, 99)(10, 82, 32, 104, 64, 136, 71, 143, 52, 124, 33, 105)(14, 86, 29, 101, 22, 94, 48, 120, 57, 129, 30, 102)(15, 87, 28, 100, 53, 125, 34, 106, 16, 88, 43, 115)(18, 90, 46, 118, 65, 137, 49, 121, 19, 91, 47, 119)(25, 97, 55, 127, 44, 116, 70, 142, 39, 111, 56, 128)(36, 108, 68, 140, 50, 122, 63, 135, 37, 109, 62, 134)(38, 110, 69, 141, 72, 144, 66, 138, 45, 117, 61, 133)(40, 112, 67, 139, 51, 123, 60, 132, 41, 113, 59, 131)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 159, 231)(149, 221, 162, 234)(150, 222, 151, 223)(153, 225, 173, 245)(154, 226, 167, 239)(155, 227, 180, 252)(156, 228, 169, 241)(157, 229, 184, 256)(158, 230, 179, 251)(160, 232, 183, 255)(161, 233, 182, 254)(163, 235, 174, 246)(164, 236, 181, 253)(165, 237, 185, 257)(166, 238, 186, 258)(168, 240, 197, 269)(170, 242, 203, 275)(171, 243, 206, 278)(172, 244, 202, 274)(175, 247, 205, 277)(176, 248, 204, 276)(177, 249, 207, 279)(178, 250, 208, 280)(187, 259, 209, 281)(188, 260, 201, 273)(189, 261, 198, 270)(190, 262, 211, 283)(191, 263, 212, 284)(192, 264, 196, 268)(193, 265, 213, 285)(194, 266, 199, 271)(195, 267, 200, 272)(210, 282, 215, 287)(214, 286, 216, 288)
	L = (1, 148)(2, 153)(3, 156)(4, 160)(5, 163)(6, 145)(7, 168)(8, 149)(9, 174)(10, 146)(11, 181)(12, 183)(13, 185)(14, 147)(15, 179)(16, 188)(17, 189)(18, 167)(19, 192)(20, 194)(21, 195)(22, 150)(23, 196)(24, 159)(25, 151)(26, 204)(27, 207)(28, 152)(29, 202)(30, 209)(31, 210)(32, 211)(33, 212)(34, 154)(35, 201)(36, 157)(37, 165)(38, 155)(39, 197)(40, 161)(41, 198)(42, 158)(43, 162)(44, 166)(45, 164)(46, 203)(47, 206)(48, 208)(49, 205)(50, 200)(51, 214)(52, 173)(53, 186)(54, 216)(55, 180)(56, 184)(57, 169)(58, 187)(59, 171)(60, 177)(61, 170)(62, 175)(63, 215)(64, 172)(65, 178)(66, 176)(67, 191)(68, 193)(69, 190)(70, 182)(71, 213)(72, 199)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.1743
Graph:: simple bipartite
	v = 48 e = 144 f = 42
	degree seq :: [ 4^36, 12^12 ]

E28.1756 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1 * Y3, (Y1 * Y3^-1)^2, (R * Y1)^2, Y1^4, (R * Y3)^2, (Y2 * Y3^-1)^2, Y3^4, Y3^2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2, Y2^-1 * Y1^-1 * R * Y2 * Y1^-1 * R, Y2^6, Y2^2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y1^2 * Y2^-2 * Y1^-1, Y2^-1 * Y3^-1 * Y1 * Y2 * Y1^-2, Y2^-1 * Y3 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2^2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 8, 80, 5, 77)(3, 75, 13, 85, 30, 102, 16, 88)(4, 76, 18, 90, 33, 105, 12, 84)(6, 78, 24, 96, 28, 100, 26, 98)(7, 79, 22, 94, 46, 118, 14, 86)(9, 81, 32, 104, 19, 91, 35, 107)(10, 82, 37, 109, 58, 130, 31, 103)(11, 83, 39, 111, 21, 93, 41, 113)(15, 87, 47, 119, 64, 136, 44, 116)(17, 89, 50, 122, 60, 132, 36, 108)(20, 92, 45, 117, 72, 144, 54, 126)(23, 95, 29, 101, 61, 133, 52, 124)(25, 97, 56, 128, 66, 138, 34, 106)(27, 99, 53, 125, 59, 131, 40, 112)(38, 110, 67, 139, 48, 120, 71, 143)(42, 114, 70, 142, 51, 123, 63, 135)(43, 115, 62, 134, 49, 121, 68, 140)(55, 127, 69, 141, 57, 129, 65, 137)(145, 217, 147, 219, 158, 230, 180, 252, 154, 226, 150, 222)(146, 218, 153, 225, 177, 249, 204, 276, 173, 245, 155, 227)(148, 220, 163, 235, 149, 221, 165, 237, 196, 268, 161, 233)(151, 223, 169, 241, 198, 270, 170, 242, 199, 271, 171, 243)(152, 224, 172, 244, 202, 274, 194, 266, 166, 238, 174, 246)(156, 228, 184, 256, 215, 287, 185, 257, 164, 236, 186, 258)(157, 229, 182, 254, 208, 280, 175, 247, 207, 279, 187, 259)(159, 231, 192, 264, 160, 232, 193, 265, 214, 286, 181, 253)(162, 234, 195, 267, 216, 288, 183, 255, 211, 283, 197, 269)(167, 239, 191, 263, 209, 281, 176, 248, 206, 278, 200, 272)(168, 240, 189, 261, 210, 282, 190, 262, 203, 275, 201, 273)(178, 250, 212, 284, 179, 251, 213, 285, 188, 260, 205, 277)
	L = (1, 148)(2, 154)(3, 159)(4, 164)(5, 166)(6, 169)(7, 145)(8, 173)(9, 178)(10, 182)(11, 184)(12, 146)(13, 150)(14, 189)(15, 179)(16, 194)(17, 147)(18, 196)(19, 191)(20, 151)(21, 195)(22, 199)(23, 149)(24, 180)(25, 188)(26, 174)(27, 186)(28, 203)(29, 206)(30, 207)(31, 152)(32, 155)(33, 211)(34, 168)(35, 161)(36, 153)(37, 158)(38, 156)(39, 204)(40, 210)(41, 163)(42, 208)(43, 205)(44, 157)(45, 215)(46, 202)(47, 214)(48, 216)(49, 209)(50, 165)(51, 160)(52, 213)(53, 170)(54, 162)(55, 167)(56, 171)(57, 212)(58, 193)(59, 183)(60, 172)(61, 177)(62, 175)(63, 197)(64, 200)(65, 190)(66, 176)(67, 187)(68, 192)(69, 198)(70, 185)(71, 181)(72, 201)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.1739
Graph:: bipartite
	v = 30 e = 144 f = 60
	degree seq :: [ 8^18, 12^12 ]

E28.1757 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3^-1 * Y1^-1, Y1^4, Y2^-1 * Y1^-1 * Y2 * Y3, Y3^4, (Y2 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, Y2^-1 * Y3 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1^-2, Y2^-1 * Y3 * Y1^-1 * Y2 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 8, 80, 5, 77)(3, 75, 13, 85, 34, 106, 11, 83)(4, 76, 15, 87, 35, 107, 12, 84)(6, 78, 14, 86, 33, 105, 22, 94)(7, 79, 18, 90, 43, 115, 23, 95)(9, 81, 29, 101, 50, 122, 27, 99)(10, 82, 30, 102, 51, 123, 28, 100)(16, 88, 40, 112, 58, 130, 38, 110)(17, 89, 41, 113, 59, 131, 39, 111)(19, 91, 25, 97, 21, 93, 46, 118)(20, 92, 26, 98, 47, 119, 37, 109)(24, 96, 42, 114, 53, 125, 31, 103)(32, 104, 55, 127, 67, 139, 54, 126)(36, 108, 56, 128, 63, 135, 48, 120)(44, 116, 52, 124, 66, 138, 61, 133)(45, 117, 57, 129, 69, 141, 62, 134)(49, 121, 65, 137, 71, 143, 64, 136)(60, 132, 70, 142, 72, 144, 68, 140)(145, 217, 147, 219, 154, 226, 175, 247, 167, 239, 150, 222)(146, 218, 153, 225, 170, 242, 192, 264, 179, 251, 155, 227)(148, 220, 160, 232, 181, 253, 163, 235, 149, 221, 158, 230)(151, 223, 165, 237, 189, 261, 202, 274, 183, 255, 166, 238)(152, 224, 169, 241, 162, 234, 188, 260, 195, 267, 171, 243)(156, 228, 177, 249, 161, 233, 186, 258, 198, 270, 178, 250)(157, 229, 176, 248, 200, 272, 208, 280, 194, 266, 172, 244)(159, 231, 180, 252, 199, 271, 212, 284, 203, 275, 182, 254)(164, 236, 173, 245, 193, 265, 210, 282, 206, 278, 190, 262)(168, 240, 185, 257, 204, 276, 213, 285, 205, 277, 187, 259)(174, 246, 196, 268, 209, 281, 216, 288, 211, 283, 197, 269)(184, 256, 201, 273, 214, 286, 215, 287, 207, 279, 191, 263)
	L = (1, 148)(2, 154)(3, 153)(4, 161)(5, 162)(6, 165)(7, 145)(8, 170)(9, 169)(10, 176)(11, 177)(12, 146)(13, 175)(14, 147)(15, 181)(16, 180)(17, 151)(18, 189)(19, 173)(20, 149)(21, 188)(22, 186)(23, 185)(24, 150)(25, 158)(26, 193)(27, 157)(28, 152)(29, 192)(30, 167)(31, 196)(32, 156)(33, 160)(34, 200)(35, 199)(36, 155)(37, 201)(38, 166)(39, 159)(40, 163)(41, 198)(42, 204)(43, 195)(44, 168)(45, 164)(46, 202)(47, 179)(48, 184)(49, 172)(50, 210)(51, 209)(52, 171)(53, 178)(54, 174)(55, 208)(56, 212)(57, 183)(58, 214)(59, 213)(60, 182)(61, 190)(62, 187)(63, 194)(64, 191)(65, 206)(66, 216)(67, 203)(68, 197)(69, 215)(70, 205)(71, 211)(72, 207)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.1738
Graph:: bipartite
	v = 30 e = 144 f = 60
	degree seq :: [ 8^18, 12^12 ]

E28.1758 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3 * Y2)^2, Y2^4, (R * Y3)^2, (Y2 * Y1)^2, Y3^4, (R * Y1)^2, Y3 * Y2^-2 * Y1 * Y3^-1 * Y1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1, (Y3 * Y2^-1)^3, Y3 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y2^-1, (Y3, Y2)^3 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 14, 86)(5, 77, 7, 79)(6, 78, 19, 91)(8, 80, 24, 96)(10, 82, 29, 101)(11, 83, 21, 93)(12, 84, 32, 104)(13, 85, 23, 95)(15, 87, 25, 97)(16, 88, 39, 111)(17, 89, 27, 99)(18, 90, 30, 102)(20, 92, 28, 100)(22, 94, 45, 117)(26, 98, 52, 124)(31, 103, 48, 120)(33, 105, 58, 130)(34, 106, 55, 127)(35, 107, 44, 116)(36, 108, 61, 133)(37, 109, 50, 122)(38, 110, 53, 125)(40, 112, 51, 123)(41, 113, 62, 134)(42, 114, 47, 119)(43, 115, 59, 131)(46, 118, 64, 136)(49, 121, 67, 139)(54, 126, 68, 140)(56, 128, 65, 137)(57, 129, 69, 141)(60, 132, 70, 142)(63, 135, 71, 143)(66, 138, 72, 144)(145, 217, 147, 219, 155, 227, 149, 221)(146, 218, 151, 223, 165, 237, 153, 225)(148, 220, 159, 231, 168, 240, 161, 233)(150, 222, 164, 236, 178, 250, 156, 228)(152, 224, 169, 241, 158, 230, 171, 243)(154, 226, 174, 246, 191, 263, 166, 238)(157, 229, 179, 251, 194, 266, 175, 247)(160, 232, 184, 256, 205, 277, 185, 257)(162, 234, 173, 245, 189, 261, 186, 258)(163, 235, 176, 248, 199, 271, 172, 244)(167, 239, 192, 264, 181, 253, 188, 260)(170, 242, 197, 269, 211, 283, 198, 270)(177, 249, 203, 275, 213, 285, 204, 276)(180, 252, 195, 267, 183, 255, 206, 278)(182, 254, 196, 268, 212, 284, 193, 265)(187, 259, 202, 274, 214, 286, 201, 273)(190, 262, 209, 281, 215, 287, 210, 282)(200, 272, 208, 280, 216, 288, 207, 279)
	L = (1, 148)(2, 152)(3, 156)(4, 160)(5, 162)(6, 145)(7, 166)(8, 170)(9, 172)(10, 146)(11, 175)(12, 177)(13, 147)(14, 180)(15, 149)(16, 150)(17, 179)(18, 182)(19, 165)(20, 185)(21, 188)(22, 190)(23, 151)(24, 193)(25, 153)(26, 154)(27, 192)(28, 195)(29, 155)(30, 198)(31, 200)(32, 201)(33, 157)(34, 189)(35, 204)(36, 202)(37, 158)(38, 159)(39, 199)(40, 161)(41, 196)(42, 164)(43, 163)(44, 187)(45, 207)(46, 167)(47, 176)(48, 210)(49, 208)(50, 168)(51, 169)(52, 186)(53, 171)(54, 183)(55, 174)(56, 173)(57, 209)(58, 181)(59, 178)(60, 184)(61, 213)(62, 211)(63, 203)(64, 194)(65, 191)(66, 197)(67, 215)(68, 205)(69, 216)(70, 206)(71, 214)(72, 212)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1761
Graph:: simple bipartite
	v = 54 e = 144 f = 36
	degree seq :: [ 4^36, 8^18 ]

E28.1759 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, Y3^4, (Y3^-1 * Y2^-1)^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y1 * Y3^-2 * Y1 * Y2^-1, Y3^-1 * Y2^-1 * Y1 * Y2^-2 * Y1, (R * Y2 * Y3^-1)^2, Y1 * Y2 * Y3^-1 * Y1 * Y3 * Y2^-1, (Y3 * Y1 * Y2^-1)^2, (Y3 * Y2^-1)^3, Y2^-1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y2 * Y3^-1, (Y2^-1 * Y1 * Y3^2)^2, Y3 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y2^-1 * Y1, Y3^-1 * Y1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y1, Y2 * R * Y2^-1 * Y1 * Y3^-1 * R * Y2 * Y1, Y2^2 * Y3 * Y1 * Y3^-2 * Y2 * Y1, Y3 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 15, 87)(5, 77, 19, 91)(6, 78, 21, 93)(7, 79, 23, 95)(8, 80, 27, 99)(9, 81, 31, 103)(10, 82, 33, 105)(12, 84, 25, 97)(13, 85, 24, 96)(14, 86, 26, 98)(16, 88, 29, 101)(17, 89, 28, 100)(18, 90, 30, 102)(20, 92, 34, 106)(22, 94, 32, 104)(35, 107, 55, 127)(36, 108, 54, 126)(37, 109, 56, 128)(38, 110, 57, 129)(39, 111, 67, 139)(40, 112, 66, 138)(41, 113, 69, 141)(42, 114, 68, 140)(43, 115, 71, 143)(44, 116, 64, 136)(45, 117, 63, 135)(46, 118, 65, 137)(47, 119, 59, 131)(48, 120, 58, 130)(49, 121, 61, 133)(50, 122, 60, 132)(51, 123, 72, 144)(52, 124, 62, 134)(53, 125, 70, 142)(145, 217, 147, 219, 156, 228, 149, 221)(146, 218, 151, 223, 168, 240, 153, 225)(148, 220, 160, 232, 191, 263, 162, 234)(150, 222, 166, 238, 186, 258, 157, 229)(152, 224, 172, 244, 210, 282, 174, 246)(154, 226, 178, 250, 205, 277, 169, 241)(155, 227, 179, 251, 211, 283, 181, 253)(158, 230, 187, 259, 214, 286, 183, 255)(159, 231, 188, 260, 163, 235, 182, 254)(161, 233, 193, 265, 199, 271, 194, 266)(164, 236, 184, 256, 209, 281, 196, 268)(165, 237, 197, 269, 204, 276, 189, 261)(167, 239, 198, 270, 192, 264, 200, 272)(170, 242, 206, 278, 195, 267, 202, 274)(171, 243, 207, 279, 175, 247, 201, 273)(173, 245, 212, 284, 180, 252, 213, 285)(176, 248, 203, 275, 190, 262, 215, 287)(177, 249, 216, 288, 185, 257, 208, 280)
	L = (1, 148)(2, 152)(3, 157)(4, 161)(5, 164)(6, 145)(7, 169)(8, 173)(9, 176)(10, 146)(11, 180)(12, 183)(13, 185)(14, 147)(15, 189)(16, 149)(17, 150)(18, 187)(19, 195)(20, 192)(21, 182)(22, 194)(23, 199)(24, 202)(25, 204)(26, 151)(27, 208)(28, 153)(29, 154)(30, 206)(31, 214)(32, 211)(33, 201)(34, 213)(35, 163)(36, 165)(37, 215)(38, 155)(39, 207)(40, 156)(41, 158)(42, 209)(43, 216)(44, 203)(45, 205)(46, 159)(47, 198)(48, 160)(49, 162)(50, 200)(51, 210)(52, 166)(53, 212)(54, 175)(55, 177)(56, 196)(57, 167)(58, 188)(59, 168)(60, 170)(61, 190)(62, 197)(63, 184)(64, 186)(65, 171)(66, 179)(67, 172)(68, 174)(69, 181)(70, 191)(71, 178)(72, 193)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1760
Graph:: simple bipartite
	v = 54 e = 144 f = 36
	degree seq :: [ 4^36, 8^18 ]

E28.1760 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1 * Y3^-2, (Y2 * Y1^-1)^2, (R * Y3)^2, (Y1 * Y3)^2, (Y1 * R)^2, Y1 * Y2 * Y1 * Y2^3, (Y2^2 * Y3)^2, Y2 * Y1^-1 * Y2^-2 * Y1 * Y2, (R * Y2 * Y3^-1)^2, Y1 * Y2 * R * Y2^2 * R * Y2, Y2 * Y3 * Y2^-1 * Y1^-1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, (Y3 * Y2^-1 * Y3^-1 * Y2^-1)^2, (Y3 * Y2^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 11, 83, 10, 82)(4, 76, 9, 81, 7, 79)(6, 78, 17, 89, 20, 92)(8, 80, 25, 97, 18, 90)(12, 84, 26, 98, 34, 106)(13, 85, 32, 104, 14, 86)(15, 87, 41, 113, 30, 102)(16, 88, 23, 95, 46, 118)(19, 91, 49, 121, 22, 94)(21, 93, 31, 103, 33, 105)(24, 96, 29, 101, 58, 130)(27, 99, 50, 122, 28, 100)(35, 107, 47, 119, 36, 108)(37, 109, 63, 135, 60, 132)(38, 110, 39, 111, 51, 123)(40, 112, 52, 124, 54, 126)(42, 114, 53, 125, 55, 127)(43, 115, 62, 134, 44, 116)(45, 117, 56, 128, 48, 120)(57, 129, 61, 133, 59, 131)(64, 136, 72, 144, 65, 137)(66, 138, 68, 140, 67, 139)(69, 141, 71, 143, 70, 142)(145, 217, 147, 219, 156, 228, 169, 241, 165, 237, 150, 222)(146, 218, 152, 224, 170, 242, 164, 236, 175, 247, 154, 226)(148, 220, 159, 231, 186, 258, 202, 274, 191, 263, 160, 232)(149, 221, 161, 233, 178, 250, 155, 227, 177, 249, 162, 234)(151, 223, 167, 239, 199, 271, 185, 257, 179, 251, 168, 240)(153, 225, 173, 245, 197, 269, 190, 262, 180, 252, 174, 246)(157, 229, 181, 253, 166, 238, 198, 270, 172, 244, 182, 254)(158, 230, 183, 255, 193, 265, 207, 279, 194, 266, 184, 256)(163, 235, 195, 267, 171, 243, 204, 276, 176, 248, 196, 268)(187, 259, 209, 281, 192, 264, 212, 284, 201, 273, 214, 286)(188, 260, 213, 285, 200, 272, 208, 280, 203, 275, 211, 283)(189, 261, 215, 287, 205, 277, 216, 288, 206, 278, 210, 282)
	L = (1, 148)(2, 153)(3, 157)(4, 146)(5, 151)(6, 163)(7, 145)(8, 171)(9, 149)(10, 158)(11, 176)(12, 179)(13, 155)(14, 147)(15, 187)(16, 189)(17, 193)(18, 172)(19, 161)(20, 166)(21, 197)(22, 150)(23, 200)(24, 201)(25, 194)(26, 191)(27, 169)(28, 152)(29, 205)(30, 188)(31, 199)(32, 154)(33, 186)(34, 180)(35, 170)(36, 156)(37, 208)(38, 210)(39, 212)(40, 213)(41, 206)(42, 165)(43, 185)(44, 159)(45, 167)(46, 192)(47, 178)(48, 160)(49, 164)(50, 162)(51, 211)(52, 215)(53, 175)(54, 214)(55, 177)(56, 190)(57, 173)(58, 203)(59, 168)(60, 209)(61, 202)(62, 174)(63, 216)(64, 207)(65, 181)(66, 183)(67, 182)(68, 195)(69, 196)(70, 184)(71, 198)(72, 204)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.1759
Graph:: simple bipartite
	v = 36 e = 144 f = 54
	degree seq :: [ 6^24, 12^12 ]

E28.1761 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-2, Y1^3, (Y2^-1 * Y1^-1)^2, (Y1 * Y3)^2, (R * Y3)^2, (Y1 * R)^2, Y1 * Y2^-1 * Y1 * Y2^-3, (R * Y2 * Y3^-1)^2, (Y2^-2 * Y3)^2, Y2^-1 * R * Y2^-2 * R * Y2^-1 * Y1, Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^2, (Y3 * Y2 * Y3^-1 * Y2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 11, 83, 14, 86)(4, 76, 9, 81, 7, 79)(6, 78, 19, 91, 8, 80)(10, 82, 29, 101, 18, 90)(12, 84, 25, 97, 36, 108)(13, 85, 33, 105, 15, 87)(16, 88, 24, 96, 44, 116)(17, 89, 46, 118, 27, 99)(20, 92, 26, 98, 22, 94)(21, 93, 31, 103, 34, 106)(23, 95, 28, 100, 56, 128)(30, 102, 49, 121, 32, 104)(35, 107, 59, 131, 37, 109)(38, 110, 41, 113, 53, 125)(39, 111, 50, 122, 54, 126)(40, 112, 63, 135, 60, 132)(42, 114, 52, 124, 51, 123)(43, 115, 58, 130, 45, 117)(47, 119, 61, 133, 48, 120)(55, 127, 62, 134, 57, 129)(64, 136, 70, 142, 65, 137)(66, 138, 71, 143, 67, 139)(68, 140, 72, 144, 69, 141)(145, 217, 147, 219, 156, 228, 173, 245, 165, 237, 150, 222)(146, 218, 152, 224, 169, 241, 158, 230, 175, 247, 154, 226)(148, 220, 160, 232, 186, 258, 200, 272, 181, 253, 161, 233)(149, 221, 162, 234, 180, 252, 163, 235, 178, 250, 155, 227)(151, 223, 167, 239, 195, 267, 190, 262, 203, 275, 168, 240)(153, 225, 171, 243, 196, 268, 188, 260, 179, 251, 172, 244)(157, 229, 182, 254, 170, 242, 204, 276, 174, 246, 183, 255)(159, 231, 184, 256, 164, 236, 194, 266, 176, 248, 185, 257)(166, 238, 197, 269, 193, 265, 207, 279, 177, 249, 198, 270)(187, 259, 215, 287, 205, 277, 216, 288, 206, 278, 208, 280)(189, 261, 213, 285, 191, 263, 214, 286, 199, 271, 211, 283)(192, 264, 210, 282, 201, 273, 212, 284, 202, 274, 209, 281)
	L = (1, 148)(2, 153)(3, 157)(4, 146)(5, 151)(6, 164)(7, 145)(8, 166)(9, 149)(10, 174)(11, 177)(12, 179)(13, 155)(14, 159)(15, 147)(16, 187)(17, 191)(18, 176)(19, 170)(20, 163)(21, 195)(22, 150)(23, 199)(24, 202)(25, 203)(26, 152)(27, 192)(28, 206)(29, 193)(30, 173)(31, 186)(32, 154)(33, 158)(34, 196)(35, 169)(36, 181)(37, 156)(38, 208)(39, 210)(40, 212)(41, 214)(42, 178)(43, 168)(44, 189)(45, 160)(46, 205)(47, 190)(48, 161)(49, 162)(50, 215)(51, 175)(52, 165)(53, 209)(54, 211)(55, 172)(56, 201)(57, 167)(58, 188)(59, 180)(60, 213)(61, 171)(62, 200)(63, 216)(64, 185)(65, 182)(66, 194)(67, 183)(68, 207)(69, 184)(70, 197)(71, 198)(72, 204)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.1758
Graph:: simple bipartite
	v = 36 e = 144 f = 54
	degree seq :: [ 6^24, 12^12 ]

E28.1762 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3 * Y1 * Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y3^-1, Y3^6, (R * Y2 * Y3^-1)^2, (Y1 * Y2^-1)^3, Y3^-1 * Y2 * Y3^2 * Y2^-1 * Y3^-1, Y3 * Y2 * Y1 * Y3^-3 * Y2 * Y1, Y3^2 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1, Y1 * Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y2 * R * Y2^-1 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 8, 80)(5, 77, 17, 89)(6, 78, 10, 82)(7, 79, 23, 95)(9, 81, 29, 101)(12, 84, 35, 107)(13, 85, 28, 100)(14, 86, 40, 112)(15, 87, 27, 99)(16, 88, 25, 97)(18, 90, 32, 104)(19, 91, 48, 120)(20, 92, 30, 102)(21, 93, 49, 121)(22, 94, 34, 106)(24, 96, 54, 126)(26, 98, 57, 129)(31, 103, 64, 136)(33, 105, 65, 137)(36, 108, 47, 119)(37, 109, 51, 123)(38, 110, 68, 140)(39, 111, 56, 128)(41, 113, 63, 135)(42, 114, 67, 139)(43, 115, 62, 134)(44, 116, 61, 133)(45, 117, 60, 132)(46, 118, 58, 130)(50, 122, 66, 138)(52, 124, 59, 131)(53, 125, 55, 127)(69, 141, 71, 143)(70, 142, 72, 144)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 158, 230, 160, 232)(150, 222, 164, 236, 165, 237)(152, 224, 170, 242, 172, 244)(154, 226, 176, 248, 177, 249)(155, 227, 173, 245, 180, 252)(156, 228, 181, 253, 175, 247)(157, 229, 183, 255, 184, 256)(159, 231, 182, 254, 189, 261)(161, 233, 191, 263, 167, 239)(162, 234, 193, 265, 194, 266)(163, 235, 168, 240, 195, 267)(166, 238, 185, 257, 196, 268)(169, 241, 200, 272, 201, 273)(171, 243, 199, 271, 206, 278)(174, 246, 209, 281, 210, 282)(178, 250, 202, 274, 211, 283)(179, 251, 205, 277, 192, 264)(186, 258, 215, 287, 207, 279)(187, 259, 216, 288, 212, 284)(188, 260, 208, 280, 198, 270)(190, 262, 203, 275, 213, 285)(197, 269, 204, 276, 214, 286)
	L = (1, 148)(2, 152)(3, 156)(4, 159)(5, 162)(6, 145)(7, 168)(8, 171)(9, 174)(10, 146)(11, 179)(12, 182)(13, 147)(14, 186)(15, 188)(16, 167)(17, 176)(18, 189)(19, 149)(20, 187)(21, 190)(22, 150)(23, 198)(24, 199)(25, 151)(26, 203)(27, 205)(28, 155)(29, 164)(30, 206)(31, 153)(32, 204)(33, 207)(34, 154)(35, 212)(36, 200)(37, 213)(38, 209)(39, 214)(40, 211)(41, 157)(42, 208)(43, 158)(44, 166)(45, 201)(46, 160)(47, 183)(48, 161)(49, 202)(50, 180)(51, 215)(52, 163)(53, 165)(54, 197)(55, 193)(56, 216)(57, 196)(58, 169)(59, 192)(60, 170)(61, 178)(62, 184)(63, 172)(64, 173)(65, 185)(66, 191)(67, 175)(68, 177)(69, 210)(70, 181)(71, 194)(72, 195)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1771
Graph:: simple bipartite
	v = 60 e = 144 f = 30
	degree seq :: [ 4^36, 6^24 ]

E28.1763 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (R * Y1)^2, Y1 * Y3 * Y1 * Y3^-1, (R * Y3)^2, Y3 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y1, Y3 * Y2^-1 * Y3^-2 * Y2 * Y3, Y3 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y3, (R * Y2 * Y3^-1)^2, Y3^6, Y1 * Y2 * Y1 * Y3^-2 * Y2, Y2 * Y1 * Y2^-1 * Y3^-2 * Y2^-1 * Y1, Y3 * Y2^-1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2, (Y3 * Y2^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 8, 80)(5, 77, 17, 89)(6, 78, 10, 82)(7, 79, 23, 95)(9, 81, 29, 101)(12, 84, 35, 107)(13, 85, 30, 102)(14, 86, 42, 114)(15, 87, 27, 99)(16, 88, 32, 104)(18, 90, 25, 97)(19, 91, 49, 121)(20, 92, 28, 100)(21, 93, 56, 128)(22, 94, 34, 106)(24, 96, 58, 130)(26, 98, 61, 133)(31, 103, 64, 136)(33, 105, 67, 139)(36, 108, 54, 126)(37, 109, 66, 138)(38, 110, 48, 120)(39, 111, 44, 116)(40, 112, 69, 141)(41, 113, 55, 127)(43, 115, 68, 140)(45, 117, 63, 135)(46, 118, 50, 122)(47, 119, 52, 124)(51, 123, 70, 142)(53, 125, 59, 131)(57, 129, 62, 134)(60, 132, 71, 143)(65, 137, 72, 144)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 158, 230, 160, 232)(150, 222, 164, 236, 165, 237)(152, 224, 170, 242, 172, 244)(154, 226, 176, 248, 177, 249)(155, 227, 171, 243, 180, 252)(156, 228, 181, 253, 183, 255)(157, 229, 184, 256, 185, 257)(159, 231, 182, 254, 167, 239)(161, 233, 192, 264, 178, 250)(162, 234, 194, 266, 195, 267)(163, 235, 196, 268, 197, 269)(166, 238, 173, 245, 198, 270)(168, 240, 203, 275, 190, 262)(169, 241, 204, 276, 191, 263)(174, 246, 188, 260, 209, 281)(175, 247, 199, 271, 210, 282)(179, 251, 187, 259, 213, 285)(186, 258, 207, 279, 200, 272)(189, 261, 211, 283, 205, 277)(193, 265, 214, 286, 201, 273)(202, 274, 206, 278, 215, 287)(208, 280, 216, 288, 212, 284)
	L = (1, 148)(2, 152)(3, 156)(4, 159)(5, 162)(6, 145)(7, 168)(8, 171)(9, 174)(10, 146)(11, 179)(12, 182)(13, 147)(14, 187)(15, 189)(16, 190)(17, 169)(18, 167)(19, 149)(20, 188)(21, 191)(22, 150)(23, 202)(24, 180)(25, 151)(26, 206)(27, 207)(28, 183)(29, 157)(30, 155)(31, 153)(32, 194)(33, 185)(34, 154)(35, 192)(36, 193)(37, 204)(38, 208)(39, 186)(40, 214)(41, 172)(42, 212)(43, 211)(44, 158)(45, 166)(46, 205)(47, 160)(48, 175)(49, 161)(50, 170)(51, 210)(52, 176)(53, 213)(54, 163)(55, 164)(56, 196)(57, 165)(58, 198)(59, 184)(60, 216)(61, 201)(62, 200)(63, 178)(64, 173)(65, 197)(66, 215)(67, 199)(68, 177)(69, 195)(70, 181)(71, 209)(72, 203)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1770
Graph:: simple bipartite
	v = 60 e = 144 f = 30
	degree seq :: [ 4^36, 6^24 ]

E28.1764 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, Y1 * Y2 * Y3^-1 * Y2 * Y3^-1, Y1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y1, (R * Y2 * Y3^-1)^2, Y3^2 * Y1 * Y3^-2 * Y1, (Y1 * Y2)^3, (Y3 * Y1 * Y2^-1)^2, Y3^2 * Y2^-1 * Y3^-1 * Y2^-1 * Y3, Y2 * Y3^-2 * Y2^-1 * Y3^2 * Y1, Y3 * Y2 * Y3^3 * Y2 * Y1, Y2 * Y1 * Y3^3 * Y2 * Y3 * Y1, Y2 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y2^-1 * Y1, (Y3^-1 * Y1)^6 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 14, 86)(5, 77, 18, 90)(6, 78, 21, 93)(7, 79, 25, 97)(8, 80, 27, 99)(9, 81, 30, 102)(10, 82, 33, 105)(12, 84, 26, 98)(13, 85, 17, 89)(15, 87, 47, 119)(16, 88, 29, 101)(19, 91, 34, 106)(20, 92, 42, 114)(22, 94, 31, 103)(23, 95, 35, 107)(24, 96, 36, 108)(28, 100, 44, 116)(32, 104, 53, 125)(37, 109, 60, 132)(38, 110, 46, 118)(39, 111, 61, 133)(40, 112, 67, 139)(41, 113, 69, 141)(43, 115, 71, 143)(45, 117, 63, 135)(48, 120, 70, 142)(49, 121, 51, 123)(50, 122, 58, 130)(52, 124, 72, 144)(54, 126, 66, 138)(55, 127, 62, 134)(56, 128, 59, 131)(57, 129, 68, 140)(64, 136, 65, 137)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 159, 231, 161, 233)(150, 222, 166, 238, 167, 239)(152, 224, 172, 244, 157, 229)(154, 226, 178, 250, 179, 251)(155, 227, 174, 246, 182, 254)(156, 228, 184, 256, 186, 258)(158, 230, 188, 260, 183, 255)(160, 232, 194, 266, 195, 267)(162, 234, 190, 262, 169, 241)(163, 235, 198, 270, 165, 237)(164, 236, 181, 253, 199, 271)(168, 240, 196, 268, 203, 275)(170, 242, 206, 278, 197, 269)(171, 243, 191, 263, 205, 277)(173, 245, 185, 257, 209, 281)(175, 247, 210, 282, 177, 249)(176, 248, 204, 276, 211, 283)(180, 252, 187, 259, 214, 286)(189, 261, 213, 285, 193, 265)(192, 264, 212, 284, 216, 288)(200, 272, 201, 273, 215, 287)(202, 274, 208, 280, 207, 279)
	L = (1, 148)(2, 152)(3, 156)(4, 160)(5, 163)(6, 145)(7, 170)(8, 173)(9, 175)(10, 146)(11, 181)(12, 185)(13, 147)(14, 189)(15, 192)(16, 184)(17, 151)(18, 166)(19, 193)(20, 149)(21, 190)(22, 195)(23, 187)(24, 150)(25, 204)(26, 194)(27, 207)(28, 200)(29, 206)(30, 178)(31, 208)(32, 153)(33, 182)(34, 209)(35, 196)(36, 154)(37, 213)(38, 171)(39, 155)(40, 212)(41, 198)(42, 174)(43, 157)(44, 214)(45, 211)(46, 158)(47, 203)(48, 176)(49, 159)(50, 210)(51, 188)(52, 161)(53, 162)(54, 216)(55, 168)(56, 164)(57, 165)(58, 167)(59, 197)(60, 202)(61, 169)(62, 201)(63, 199)(64, 172)(65, 191)(66, 215)(67, 180)(68, 177)(69, 179)(70, 186)(71, 183)(72, 205)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1772
Graph:: simple bipartite
	v = 60 e = 144 f = 30
	degree seq :: [ 4^36, 6^24 ]

E28.1765 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, Y1 * Y2^-1 * Y3 * Y2^-1 * Y3, Y3 * Y2 * Y3^-3 * Y2, (Y2 * Y3^-1 * Y1)^2, (Y1 * Y2^-1)^3, Y1 * Y3^2 * Y1 * Y3^-2, (Y3^-1 * R * Y2^-1)^2, (Y3^-1 * Y1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 14, 86)(5, 77, 18, 90)(6, 78, 21, 93)(7, 79, 25, 97)(8, 80, 28, 100)(9, 81, 32, 104)(10, 82, 34, 106)(12, 84, 39, 111)(13, 85, 31, 103)(15, 87, 29, 101)(16, 88, 30, 102)(17, 89, 27, 99)(19, 91, 22, 94)(20, 92, 33, 105)(23, 95, 57, 129)(24, 96, 36, 108)(26, 98, 37, 109)(35, 107, 55, 127)(38, 110, 51, 123)(40, 112, 69, 141)(41, 113, 48, 120)(42, 114, 61, 133)(43, 115, 62, 134)(44, 116, 50, 122)(45, 117, 64, 136)(46, 118, 59, 131)(47, 119, 71, 143)(49, 121, 72, 144)(52, 124, 68, 140)(53, 125, 60, 132)(54, 126, 65, 137)(56, 128, 70, 142)(58, 130, 66, 138)(63, 135, 67, 139)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 159, 231, 161, 233)(150, 222, 166, 238, 167, 239)(152, 224, 173, 245, 175, 247)(154, 226, 163, 235, 179, 251)(155, 227, 176, 248, 182, 254)(156, 228, 184, 256, 186, 258)(157, 229, 158, 230, 187, 259)(160, 232, 192, 264, 193, 265)(162, 234, 195, 267, 169, 241)(164, 236, 183, 255, 197, 269)(165, 237, 196, 268, 199, 271)(168, 240, 194, 266, 203, 275)(170, 242, 204, 276, 205, 277)(171, 243, 172, 244, 206, 278)(174, 246, 210, 282, 191, 263)(177, 249, 181, 253, 213, 285)(178, 250, 212, 284, 201, 273)(180, 252, 211, 283, 198, 270)(185, 257, 215, 287, 189, 261)(188, 260, 209, 281, 200, 272)(190, 262, 214, 286, 207, 279)(202, 274, 216, 288, 208, 280)
	L = (1, 148)(2, 152)(3, 156)(4, 160)(5, 163)(6, 145)(7, 170)(8, 174)(9, 166)(10, 146)(11, 181)(12, 185)(13, 147)(14, 189)(15, 190)(16, 184)(17, 155)(18, 196)(19, 191)(20, 149)(21, 182)(22, 193)(23, 188)(24, 150)(25, 183)(26, 202)(27, 151)(28, 208)(29, 209)(30, 204)(31, 169)(32, 212)(33, 153)(34, 195)(35, 207)(36, 154)(37, 192)(38, 158)(39, 210)(40, 214)(41, 179)(42, 162)(43, 198)(44, 157)(45, 213)(46, 205)(47, 159)(48, 201)(49, 173)(50, 161)(51, 172)(52, 215)(53, 168)(54, 164)(55, 194)(56, 165)(57, 211)(58, 167)(59, 177)(60, 200)(61, 176)(62, 203)(63, 171)(64, 197)(65, 186)(66, 199)(67, 175)(68, 216)(69, 180)(70, 178)(71, 206)(72, 187)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1773
Graph:: simple bipartite
	v = 60 e = 144 f = 30
	degree seq :: [ 4^36, 6^24 ]

E28.1766 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, (Y3^-1 * Y1^-1)^2, Y2^-1 * Y1 * Y3 * Y2^-1, Y3 * Y2^2 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2^-1 * Y1 * R * Y2^-1 * R, (Y3^-1 * Y2^-1 * Y1^-1)^2, Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y1 * Y2, Y3 * Y2 * Y3 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y2^-1, Y1^-1 * Y3^-1 * Y2 * Y1 * Y2^2 * Y1^-1 * Y2^-1, Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2, Y2 * R * Y2 * R * Y2 * Y3^-1 * Y2 * Y1^-1, Y1^-1 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 12, 84, 14, 86)(4, 76, 16, 88, 18, 90)(6, 78, 15, 87, 22, 94)(7, 79, 23, 95, 9, 81)(8, 80, 26, 98, 28, 100)(10, 82, 29, 101, 31, 103)(11, 83, 32, 104, 20, 92)(13, 85, 37, 109, 39, 111)(17, 89, 45, 117, 47, 119)(19, 91, 48, 120, 50, 122)(21, 93, 44, 116, 41, 113)(24, 96, 53, 125, 30, 102)(25, 97, 54, 126, 27, 99)(33, 105, 63, 135, 46, 118)(34, 106, 64, 136, 49, 121)(35, 107, 56, 128, 66, 138)(36, 108, 59, 131, 68, 140)(38, 110, 62, 134, 70, 142)(40, 112, 58, 130, 72, 144)(42, 114, 55, 127, 67, 139)(43, 115, 60, 132, 65, 137)(51, 123, 57, 129, 69, 141)(52, 124, 61, 133, 71, 143)(145, 217, 147, 219, 153, 225, 150, 222)(146, 218, 152, 224, 164, 236, 154, 226)(148, 220, 161, 233, 149, 221, 163, 235)(151, 223, 168, 240, 162, 234, 169, 241)(155, 227, 177, 249, 167, 239, 178, 250)(156, 228, 179, 251, 185, 257, 180, 252)(157, 229, 182, 254, 158, 230, 184, 256)(159, 231, 186, 258, 183, 255, 187, 259)(160, 232, 188, 260, 176, 248, 181, 253)(165, 237, 195, 267, 166, 238, 196, 268)(170, 242, 199, 271, 197, 269, 200, 272)(171, 243, 201, 273, 172, 244, 202, 274)(173, 245, 203, 275, 198, 270, 204, 276)(174, 246, 205, 277, 175, 247, 206, 278)(189, 261, 210, 282, 208, 280, 209, 281)(190, 262, 214, 286, 191, 263, 213, 285)(192, 264, 212, 284, 207, 279, 211, 283)(193, 265, 215, 287, 194, 266, 216, 288)
	L = (1, 148)(2, 153)(3, 157)(4, 151)(5, 164)(6, 165)(7, 145)(8, 171)(9, 155)(10, 174)(11, 146)(12, 150)(13, 159)(14, 185)(15, 147)(16, 149)(17, 190)(18, 176)(19, 193)(20, 160)(21, 156)(22, 183)(23, 162)(24, 175)(25, 172)(26, 154)(27, 173)(28, 197)(29, 152)(30, 170)(31, 198)(32, 167)(33, 191)(34, 194)(35, 209)(36, 211)(37, 158)(38, 213)(39, 188)(40, 215)(41, 181)(42, 212)(43, 210)(44, 166)(45, 163)(46, 192)(47, 208)(48, 161)(49, 189)(50, 207)(51, 214)(52, 216)(53, 169)(54, 168)(55, 187)(56, 180)(57, 196)(58, 182)(59, 179)(60, 186)(61, 195)(62, 184)(63, 178)(64, 177)(65, 203)(66, 199)(67, 200)(68, 204)(69, 202)(70, 205)(71, 206)(72, 201)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1768
Graph:: bipartite
	v = 42 e = 144 f = 48
	degree seq :: [ 6^24, 8^18 ]

E28.1767 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3 * Y2^-1, (Y3 * Y1)^2, (Y3^-1, Y2), Y2^4, (R * Y1)^2, (Y2 * R)^2, (R * Y3)^2, Y2^-1 * Y1 * Y3 * Y2 * Y1^-1 * Y3^-1, Y2^-2 * Y3^-1 * Y1 * Y2^-1 * Y1, Y3 * Y1^-1 * Y2 * Y1^-1 * Y2^2, Y3^-1 * Y2^2 * Y3 * Y2^2 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 12, 84, 15, 87)(4, 76, 17, 89, 18, 90)(6, 78, 23, 95, 24, 96)(7, 79, 26, 98, 9, 81)(8, 80, 27, 99, 30, 102)(10, 82, 33, 105, 34, 106)(11, 83, 36, 108, 21, 93)(13, 85, 41, 113, 42, 114)(14, 86, 29, 101, 44, 116)(16, 88, 45, 117, 38, 110)(19, 91, 51, 123, 39, 111)(20, 92, 52, 124, 43, 115)(22, 94, 54, 126, 55, 127)(25, 97, 35, 107, 47, 119)(28, 100, 40, 112, 62, 134)(31, 103, 57, 129, 59, 131)(32, 104, 37, 109, 60, 132)(46, 118, 63, 135, 56, 128)(48, 120, 58, 130, 49, 121)(50, 122, 53, 125, 61, 133)(64, 136, 68, 140, 71, 143)(65, 137, 69, 141, 72, 144)(66, 138, 67, 139, 70, 142)(145, 217, 147, 219, 157, 229, 150, 222)(146, 218, 152, 224, 172, 244, 154, 226)(148, 220, 158, 230, 177, 249, 163, 235)(149, 221, 164, 236, 197, 269, 166, 238)(151, 223, 160, 232, 187, 259, 169, 241)(153, 225, 173, 245, 198, 270, 176, 248)(155, 227, 175, 247, 159, 231, 179, 251)(156, 228, 181, 253, 208, 280, 183, 255)(161, 233, 190, 262, 174, 246, 191, 263)(162, 234, 185, 257, 211, 283, 194, 266)(165, 237, 188, 260, 167, 239, 192, 264)(168, 240, 189, 261, 212, 284, 200, 272)(170, 242, 184, 256, 209, 281, 186, 258)(171, 243, 202, 274, 214, 286, 204, 276)(178, 250, 201, 273, 210, 282, 182, 254)(180, 252, 205, 277, 215, 287, 206, 278)(193, 265, 196, 268, 195, 267, 213, 285)(199, 271, 207, 279, 216, 288, 203, 275)
	L = (1, 148)(2, 153)(3, 158)(4, 160)(5, 165)(6, 163)(7, 145)(8, 173)(9, 175)(10, 176)(11, 146)(12, 182)(13, 177)(14, 187)(15, 172)(16, 147)(17, 149)(18, 193)(19, 151)(20, 188)(21, 190)(22, 192)(23, 191)(24, 194)(25, 150)(26, 183)(27, 203)(28, 198)(29, 159)(30, 197)(31, 152)(32, 155)(33, 169)(34, 186)(35, 154)(36, 204)(37, 178)(38, 209)(39, 210)(40, 156)(41, 196)(42, 208)(43, 157)(44, 174)(45, 162)(46, 164)(47, 166)(48, 161)(49, 212)(50, 213)(51, 168)(52, 200)(53, 167)(54, 179)(55, 206)(56, 211)(57, 170)(58, 199)(59, 215)(60, 216)(61, 171)(62, 214)(63, 180)(64, 201)(65, 181)(66, 184)(67, 195)(68, 185)(69, 189)(70, 207)(71, 202)(72, 205)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1769
Graph:: simple bipartite
	v = 42 e = 144 f = 48
	degree seq :: [ 6^24, 8^18 ]

E28.1768 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^3, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y1^-1 * Y2 * Y3^-1 * Y1^-1, (Y2 * Y3^-1)^3, Y1^-2 * Y3^-1 * Y1^2 * Y3, (Y1^-1 * R * Y2)^2, (Y3 * Y2)^3, (R * Y2 * Y3^-1)^2, (Y2 * Y3 * Y1)^2, Y3 * Y2 * Y3^-1 * Y1 * Y2 * Y1^-1, Y1^6, Y1^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y3 * Y2, Y3 * Y1^3 * Y3 * Y2 * Y1^-1, Y3^-1 * Y1^3 * Y3^-1 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 7, 79, 25, 97, 20, 92, 5, 77)(3, 75, 11, 83, 26, 98, 57, 129, 44, 116, 13, 85)(4, 76, 15, 87, 27, 99, 32, 104, 52, 124, 17, 89)(6, 78, 22, 94, 28, 100, 43, 115, 56, 128, 24, 96)(8, 80, 29, 101, 51, 123, 54, 126, 18, 90, 31, 103)(9, 81, 14, 86, 46, 118, 55, 127, 19, 91, 33, 105)(10, 82, 34, 106, 49, 121, 16, 88, 21, 93, 36, 108)(12, 84, 39, 111, 59, 131, 35, 107, 66, 138, 41, 113)(23, 95, 53, 125, 60, 132, 48, 120, 64, 136, 30, 102)(37, 109, 61, 133, 70, 142, 72, 144, 42, 114, 58, 130)(38, 110, 67, 139, 50, 122, 40, 112, 45, 117, 68, 140)(47, 119, 71, 143, 62, 134, 69, 141, 65, 137, 63, 135)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 160, 232)(149, 221, 162, 234)(150, 222, 167, 239)(151, 223, 170, 242)(153, 225, 168, 240)(154, 226, 179, 251)(155, 227, 181, 253)(156, 228, 184, 256)(157, 229, 186, 258)(158, 230, 191, 263)(159, 231, 189, 261)(161, 233, 194, 266)(163, 235, 187, 259)(164, 236, 188, 260)(165, 237, 183, 255)(166, 238, 190, 262)(169, 241, 195, 267)(171, 243, 180, 252)(172, 244, 204, 276)(173, 245, 205, 277)(174, 246, 207, 279)(175, 247, 202, 274)(176, 248, 182, 254)(177, 249, 209, 281)(178, 250, 196, 268)(185, 257, 193, 265)(192, 264, 213, 285)(197, 269, 215, 287)(198, 270, 216, 288)(199, 271, 206, 278)(200, 272, 208, 280)(201, 273, 214, 286)(203, 275, 212, 284)(210, 282, 211, 283)
	L = (1, 148)(2, 153)(3, 156)(4, 150)(5, 163)(6, 145)(7, 171)(8, 174)(9, 154)(10, 146)(11, 168)(12, 158)(13, 187)(14, 147)(15, 162)(16, 191)(17, 195)(18, 192)(19, 165)(20, 196)(21, 149)(22, 194)(23, 202)(24, 182)(25, 190)(26, 203)(27, 172)(28, 151)(29, 180)(30, 176)(31, 160)(32, 152)(33, 188)(34, 209)(35, 181)(36, 206)(37, 207)(38, 155)(39, 186)(40, 167)(41, 214)(42, 213)(43, 189)(44, 210)(45, 157)(46, 193)(47, 175)(48, 159)(49, 169)(50, 201)(51, 197)(52, 200)(53, 161)(54, 178)(55, 170)(56, 164)(57, 166)(58, 184)(59, 199)(60, 205)(61, 212)(62, 173)(63, 179)(64, 216)(65, 198)(66, 177)(67, 208)(68, 204)(69, 183)(70, 215)(71, 185)(72, 211)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.1766
Graph:: simple bipartite
	v = 48 e = 144 f = 42
	degree seq :: [ 4^36, 12^12 ]

E28.1769 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3 * Y1^-1 * Y3, (R * Y3^-1)^2, (R * Y1)^2, Y1^-1 * R * Y3^-1 * R * Y3, (Y2 * R * Y3)^2, Y1^6, Y1 * Y2 * Y1^-2 * Y2 * Y1, (Y3 * Y2)^3, (Y1^-1 * Y2 * Y1 * Y2)^2, (Y3^-1 * Y1^-1)^4, Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 7, 79, 19, 91, 16, 88, 5, 77)(3, 75, 10, 82, 20, 92, 46, 118, 31, 103, 12, 84)(4, 76, 9, 81, 21, 93, 40, 112, 17, 89, 6, 78)(8, 80, 22, 94, 45, 117, 38, 110, 15, 87, 24, 96)(11, 83, 28, 100, 47, 119, 62, 134, 32, 104, 13, 85)(14, 86, 34, 106, 48, 120, 70, 142, 41, 113, 35, 107)(18, 90, 42, 114, 26, 98, 53, 125, 69, 141, 44, 116)(23, 95, 50, 122, 68, 140, 39, 111, 37, 109, 25, 97)(27, 99, 49, 121, 72, 144, 60, 132, 30, 102, 51, 123)(29, 101, 43, 115, 54, 126, 52, 124, 63, 135, 58, 130)(33, 105, 64, 136, 57, 129, 67, 139, 66, 138, 36, 108)(55, 127, 65, 137, 71, 143, 61, 133, 59, 131, 56, 128)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 158, 230)(149, 221, 159, 231)(150, 222, 162, 234)(151, 223, 164, 236)(153, 225, 170, 242)(154, 226, 171, 243)(155, 227, 173, 245)(156, 228, 174, 246)(157, 229, 177, 249)(160, 232, 175, 247)(161, 233, 185, 257)(163, 235, 189, 261)(165, 237, 192, 264)(166, 238, 193, 265)(167, 239, 180, 252)(168, 240, 195, 267)(169, 241, 196, 268)(172, 244, 201, 273)(176, 248, 207, 279)(178, 250, 205, 277)(179, 251, 209, 281)(181, 253, 211, 283)(182, 254, 204, 276)(183, 255, 187, 259)(184, 256, 213, 285)(186, 258, 215, 287)(188, 260, 199, 271)(190, 262, 216, 288)(191, 263, 198, 270)(194, 266, 202, 274)(197, 269, 203, 275)(200, 272, 214, 286)(206, 278, 210, 282)(208, 280, 212, 284)
	L = (1, 148)(2, 153)(3, 155)(4, 146)(5, 150)(6, 145)(7, 165)(8, 167)(9, 151)(10, 172)(11, 154)(12, 157)(13, 147)(14, 177)(15, 181)(16, 161)(17, 149)(18, 187)(19, 184)(20, 191)(21, 163)(22, 194)(23, 166)(24, 169)(25, 152)(26, 196)(27, 199)(28, 164)(29, 162)(30, 203)(31, 176)(32, 156)(33, 178)(34, 208)(35, 180)(36, 158)(37, 168)(38, 183)(39, 159)(40, 160)(41, 210)(42, 198)(43, 186)(44, 173)(45, 212)(46, 206)(47, 190)(48, 201)(49, 209)(50, 189)(51, 200)(52, 197)(53, 207)(54, 170)(55, 193)(56, 171)(57, 214)(58, 188)(59, 195)(60, 205)(61, 174)(62, 175)(63, 213)(64, 192)(65, 216)(66, 179)(67, 185)(68, 182)(69, 202)(70, 211)(71, 204)(72, 215)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.1767
Graph:: simple bipartite
	v = 48 e = 144 f = 42
	degree seq :: [ 4^36, 12^12 ]

E28.1770 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1 * Y2)^2, Y2^-1 * Y3^2 * Y2^-1, (R * Y2)^2, Y1^4, (Y3, Y2), (R * Y3)^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y1)^2, (Y3 * Y1^-1)^3, (Y3^-1 * Y1^-1)^3, Y3^2 * Y2^4, Y3^-1 * Y1 * Y2^2 * Y1^-1 * Y3^-1, Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y2, Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y2^-1, Y1 * Y3 * Y2 * Y1^2 * Y3 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 8, 80, 5, 77)(3, 75, 13, 85, 26, 98, 9, 81)(4, 76, 17, 89, 48, 120, 18, 90)(6, 78, 20, 92, 28, 100, 11, 83)(7, 79, 24, 96, 59, 131, 25, 97)(10, 82, 33, 105, 55, 127, 34, 106)(12, 84, 37, 109, 40, 112, 38, 110)(14, 86, 30, 102, 60, 132, 39, 111)(15, 87, 44, 116, 29, 101, 45, 117)(16, 88, 46, 118, 71, 143, 47, 119)(19, 91, 52, 124, 36, 108, 53, 125)(21, 93, 56, 128, 31, 103, 49, 121)(22, 94, 35, 107, 62, 134, 54, 126)(23, 95, 57, 129, 27, 99, 58, 130)(32, 104, 50, 122, 68, 140, 65, 137)(41, 113, 69, 141, 64, 136, 51, 123)(42, 114, 67, 139, 72, 144, 63, 135)(43, 115, 70, 142, 61, 133, 66, 138)(145, 217, 147, 219, 158, 230, 186, 258, 166, 238, 150, 222)(146, 218, 153, 225, 174, 246, 207, 279, 179, 251, 155, 227)(148, 220, 159, 231, 187, 259, 167, 239, 151, 223, 160, 232)(149, 221, 157, 229, 183, 255, 211, 283, 198, 270, 164, 236)(152, 224, 170, 242, 204, 276, 216, 288, 206, 278, 172, 244)(154, 226, 175, 247, 208, 280, 180, 252, 156, 228, 176, 248)(161, 233, 189, 261, 214, 286, 202, 274, 168, 240, 191, 263)(162, 234, 188, 260, 210, 282, 201, 273, 169, 241, 190, 262)(163, 235, 184, 256, 212, 284, 199, 271, 165, 237, 185, 257)(171, 243, 203, 275, 215, 287, 192, 264, 173, 245, 205, 277)(177, 249, 200, 272, 195, 267, 196, 268, 181, 253, 209, 281)(178, 250, 193, 265, 213, 285, 197, 269, 182, 254, 194, 266)
	L = (1, 148)(2, 154)(3, 159)(4, 158)(5, 163)(6, 160)(7, 145)(8, 171)(9, 175)(10, 174)(11, 176)(12, 146)(13, 184)(14, 187)(15, 186)(16, 147)(17, 193)(18, 181)(19, 183)(20, 185)(21, 149)(22, 151)(23, 150)(24, 194)(25, 195)(26, 203)(27, 204)(28, 205)(29, 152)(30, 208)(31, 207)(32, 153)(33, 169)(34, 189)(35, 156)(36, 155)(37, 210)(38, 191)(39, 212)(40, 211)(41, 157)(42, 167)(43, 166)(44, 209)(45, 213)(46, 196)(47, 178)(48, 172)(49, 214)(50, 161)(51, 162)(52, 188)(53, 168)(54, 165)(55, 164)(56, 190)(57, 200)(58, 182)(59, 216)(60, 215)(61, 170)(62, 173)(63, 180)(64, 179)(65, 201)(66, 177)(67, 199)(68, 198)(69, 202)(70, 197)(71, 206)(72, 192)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.1763
Graph:: simple bipartite
	v = 30 e = 144 f = 60
	degree seq :: [ 8^18, 12^12 ]

E28.1771 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, (Y2 * Y3^-1)^2, Y3 * Y2^-2 * Y3, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y1^4, (Y2^-1 * Y1^-1)^3, Y2 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1, Y3 * Y1 * Y2 * Y3^-1 * Y1 * Y2^-1, Y3^2 * Y2^4, Y2 * Y3 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y1^-1 * Y3 * Y1^-1 * Y2 * Y1 * Y2, Y3^2 * Y1 * Y2^-2 * Y1^-1, Y1^-1 * Y3^-1 * Y1^2 * Y2 * Y1^-1, Y2^-1 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, (Y3^-1 * Y1^-1)^3, Y2^-1 * Y3^-1 * Y1 * Y3 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 8, 80, 5, 77)(3, 75, 13, 85, 31, 103, 16, 88)(4, 76, 18, 90, 30, 102, 19, 91)(6, 78, 24, 96, 33, 105, 25, 97)(7, 79, 28, 100, 32, 104, 29, 101)(9, 81, 34, 106, 21, 93, 37, 109)(10, 82, 39, 111, 20, 92, 40, 112)(11, 83, 41, 113, 23, 95, 42, 114)(12, 84, 45, 117, 22, 94, 46, 118)(14, 86, 35, 107, 58, 130, 51, 123)(15, 87, 52, 124, 59, 131, 36, 108)(17, 89, 55, 127, 60, 132, 38, 110)(26, 98, 43, 115, 61, 133, 56, 128)(27, 99, 57, 129, 62, 134, 44, 116)(47, 119, 69, 141, 54, 126, 66, 138)(48, 120, 65, 137, 53, 125, 70, 142)(49, 121, 68, 140, 72, 144, 63, 135)(50, 122, 64, 136, 71, 143, 67, 139)(145, 217, 147, 219, 158, 230, 193, 265, 170, 242, 150, 222)(146, 218, 153, 225, 179, 251, 209, 281, 187, 259, 155, 227)(148, 220, 159, 231, 194, 266, 171, 243, 151, 223, 161, 233)(149, 221, 164, 236, 195, 267, 213, 285, 200, 272, 166, 238)(152, 224, 174, 246, 202, 274, 215, 287, 205, 277, 176, 248)(154, 226, 180, 252, 210, 282, 188, 260, 156, 228, 182, 254)(157, 229, 189, 261, 212, 284, 183, 255, 168, 240, 191, 263)(160, 232, 185, 257, 207, 279, 178, 250, 169, 241, 197, 269)(162, 234, 190, 262, 208, 280, 184, 256, 172, 244, 198, 270)(163, 235, 186, 258, 211, 283, 181, 253, 173, 245, 192, 264)(165, 237, 196, 268, 214, 286, 201, 273, 167, 239, 199, 271)(175, 247, 203, 275, 216, 288, 206, 278, 177, 249, 204, 276)
	L = (1, 148)(2, 154)(3, 159)(4, 158)(5, 165)(6, 161)(7, 145)(8, 175)(9, 180)(10, 179)(11, 182)(12, 146)(13, 186)(14, 194)(15, 193)(16, 190)(17, 147)(18, 185)(19, 189)(20, 196)(21, 195)(22, 199)(23, 149)(24, 192)(25, 198)(26, 151)(27, 150)(28, 197)(29, 191)(30, 203)(31, 202)(32, 204)(33, 152)(34, 172)(35, 210)(36, 209)(37, 168)(38, 153)(39, 173)(40, 169)(41, 208)(42, 212)(43, 156)(44, 155)(45, 211)(46, 207)(47, 163)(48, 157)(49, 171)(50, 170)(51, 214)(52, 213)(53, 162)(54, 160)(55, 164)(56, 167)(57, 166)(58, 216)(59, 215)(60, 174)(61, 177)(62, 176)(63, 184)(64, 178)(65, 188)(66, 187)(67, 183)(68, 181)(69, 201)(70, 200)(71, 206)(72, 205)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.1762
Graph:: simple bipartite
	v = 30 e = 144 f = 60
	degree seq :: [ 8^18, 12^12 ]

E28.1772 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1 * Y1^-2, Y3 * Y2^-1 * Y1^-2, Y3^-1 * Y1^-2 * Y2, (Y3 * Y2^-1)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y2 * Y1^2 * Y2^-2, Y3 * Y1 * Y3^-1 * Y2 * Y1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y2^2 * Y1^-1 * Y2^-2 * Y1, Y3^2 * Y1^2 * Y3^-1 * Y2^-1, Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y1^-1, Y3^-1 * Y1^-1 * Y3 * Y2 * Y1 * Y2^-1, Y3 * Y1 * Y2 * Y1 * Y2 * Y1^-1, (Y3^-2 * Y2^-1)^2, Y2^6 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 8, 80, 5, 77)(3, 75, 13, 85, 47, 119, 16, 88)(4, 76, 17, 89, 57, 129, 20, 92)(6, 78, 23, 95, 7, 79, 25, 97)(9, 81, 32, 104, 63, 135, 35, 107)(10, 82, 36, 108, 72, 144, 39, 111)(11, 83, 40, 112, 12, 84, 42, 114)(14, 86, 33, 105, 18, 90, 37, 109)(15, 87, 38, 110, 19, 91, 34, 106)(21, 93, 58, 130, 22, 94, 48, 120)(24, 96, 59, 131, 61, 133, 41, 113)(26, 98, 43, 115, 27, 99, 44, 116)(28, 100, 46, 118, 29, 101, 45, 117)(30, 102, 60, 132, 31, 103, 62, 134)(49, 121, 67, 139, 50, 122, 69, 141)(51, 123, 65, 137, 53, 125, 64, 136)(52, 124, 70, 142, 54, 126, 71, 143)(55, 127, 68, 140, 56, 128, 66, 138)(145, 217, 147, 219, 158, 230, 195, 267, 170, 242, 150, 222)(146, 218, 153, 225, 177, 249, 210, 282, 187, 259, 155, 227)(148, 220, 162, 234, 196, 268, 171, 243, 174, 246, 152, 224)(149, 221, 154, 226, 181, 253, 211, 283, 188, 260, 165, 237)(151, 223, 168, 240, 191, 263, 159, 231, 197, 269, 172, 244)(156, 228, 185, 257, 207, 279, 178, 250, 212, 284, 189, 261)(157, 229, 192, 264, 209, 281, 183, 255, 167, 239, 193, 265)(160, 232, 184, 256, 208, 280, 176, 248, 169, 241, 199, 271)(161, 233, 186, 258, 214, 286, 179, 251, 204, 276, 200, 272)(163, 235, 198, 270, 173, 245, 175, 247, 205, 277, 201, 273)(164, 236, 202, 274, 215, 287, 180, 252, 206, 278, 194, 266)(166, 238, 203, 275, 216, 288, 182, 254, 213, 285, 190, 262)
	L = (1, 148)(2, 154)(3, 159)(4, 163)(5, 153)(6, 168)(7, 145)(8, 147)(9, 178)(10, 182)(11, 185)(12, 146)(13, 184)(14, 196)(15, 198)(16, 192)(17, 202)(18, 195)(19, 197)(20, 186)(21, 203)(22, 149)(23, 199)(24, 201)(25, 193)(26, 174)(27, 150)(28, 175)(29, 151)(30, 205)(31, 152)(32, 204)(33, 211)(34, 213)(35, 169)(36, 167)(37, 210)(38, 212)(39, 206)(40, 214)(41, 216)(42, 208)(43, 165)(44, 155)(45, 166)(46, 156)(47, 158)(48, 215)(49, 164)(50, 157)(51, 172)(52, 173)(53, 170)(54, 171)(55, 161)(56, 160)(57, 162)(58, 209)(59, 207)(60, 194)(61, 191)(62, 200)(63, 177)(64, 183)(65, 176)(66, 189)(67, 190)(68, 187)(69, 188)(70, 180)(71, 179)(72, 181)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.1764
Graph:: bipartite
	v = 30 e = 144 f = 60
	degree seq :: [ 8^18, 12^12 ]

E28.1773 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^2 * Y2^-1, (R * Y3)^2, Y2 * Y1^2 * Y3^-1, (R * Y1)^2, (Y3^-1 * Y2)^2, Y3^-1 * R * Y2^-1 * R * Y2 * Y3^-1, Y2 * Y3 * Y2^-2 * Y1^-2, Y3 * Y2 * Y1^-1 * Y3^-2 * Y1, Y3^-1 * Y1 * Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y2^2 * Y1 * Y3^-1 * Y2^-1 * Y1, (Y3 * Y1^-1)^3, (Y2 * R * Y3)^2, Y3^2 * Y2^-1 * Y3^-1 * Y1^-2, Y2^-1 * Y3^-4 * Y2^-1, (Y3 * Y2^-1 * Y1^-1)^2, Y2^6, (Y3^2 * Y2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 8, 80, 5, 77)(3, 75, 13, 85, 4, 76, 16, 88)(6, 78, 22, 94, 54, 126, 23, 95)(7, 79, 26, 98, 55, 127, 27, 99)(9, 81, 32, 104, 10, 82, 35, 107)(11, 83, 39, 111, 69, 141, 40, 112)(12, 84, 43, 115, 70, 142, 44, 116)(14, 86, 33, 105, 15, 87, 34, 106)(17, 89, 53, 125, 62, 134, 36, 108)(18, 90, 38, 110, 19, 91, 37, 109)(20, 92, 56, 128, 21, 93, 57, 129)(24, 96, 41, 113, 28, 100, 45, 117)(25, 97, 46, 118, 29, 101, 42, 114)(30, 102, 60, 132, 31, 103, 61, 133)(47, 119, 67, 139, 58, 130, 68, 140)(48, 120, 66, 138, 59, 131, 65, 137)(49, 121, 71, 143, 50, 122, 63, 135)(51, 123, 64, 136, 52, 124, 72, 144)(145, 217, 147, 219, 158, 230, 193, 265, 168, 240, 150, 222)(146, 218, 153, 225, 177, 249, 209, 281, 185, 257, 155, 227)(148, 220, 162, 234, 194, 266, 169, 241, 198, 270, 161, 233)(149, 221, 164, 236, 178, 250, 211, 283, 189, 261, 156, 228)(151, 223, 152, 224, 174, 246, 159, 231, 195, 267, 172, 244)(154, 226, 181, 253, 210, 282, 186, 258, 213, 285, 180, 252)(157, 229, 188, 260, 215, 287, 201, 273, 166, 238, 191, 263)(160, 232, 183, 255, 207, 279, 176, 248, 167, 239, 192, 264)(163, 235, 196, 268, 173, 245, 199, 271, 206, 278, 175, 247)(165, 237, 182, 254, 212, 284, 190, 262, 214, 286, 197, 269)(170, 242, 203, 275, 204, 276, 184, 256, 208, 280, 179, 251)(171, 243, 202, 274, 205, 277, 187, 259, 216, 288, 200, 272)
	L = (1, 148)(2, 154)(3, 159)(4, 163)(5, 165)(6, 152)(7, 145)(8, 175)(9, 178)(10, 182)(11, 149)(12, 146)(13, 187)(14, 194)(15, 196)(16, 184)(17, 147)(18, 193)(19, 195)(20, 177)(21, 181)(22, 202)(23, 203)(24, 198)(25, 150)(26, 192)(27, 191)(28, 199)(29, 151)(30, 158)(31, 162)(32, 166)(33, 210)(34, 212)(35, 171)(36, 153)(37, 209)(38, 211)(39, 215)(40, 216)(41, 213)(42, 155)(43, 208)(44, 207)(45, 214)(46, 156)(47, 160)(48, 157)(49, 172)(50, 173)(51, 168)(52, 169)(53, 164)(54, 206)(55, 161)(56, 170)(57, 167)(58, 204)(59, 205)(60, 183)(61, 188)(62, 174)(63, 179)(64, 176)(65, 189)(66, 190)(67, 185)(68, 186)(69, 197)(70, 180)(71, 200)(72, 201)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.1765
Graph:: simple bipartite
	v = 30 e = 144 f = 60
	degree seq :: [ 8^18, 12^12 ]

E28.1774 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y1 * Y2)^2, Y2^4, Y3 * Y1 * Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y3^-2 * Y2 * Y3^2 * Y2^-1, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y2^-1)^3, Y3^6, (Y3 * Y2^-1)^3, Y2 * R * Y2 * Y1 * Y2^-1 * R * Y2, Y2^-2 * Y3^-1 * Y2^-1 * Y1 * Y2 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 8, 80)(5, 77, 7, 79)(6, 78, 10, 82)(11, 83, 22, 94)(12, 84, 28, 100)(13, 85, 29, 101)(14, 86, 27, 99)(15, 87, 26, 98)(16, 88, 25, 97)(17, 89, 23, 95)(18, 90, 24, 96)(19, 91, 31, 103)(20, 92, 30, 102)(21, 93, 32, 104)(33, 105, 41, 113)(34, 106, 51, 123)(35, 107, 47, 119)(36, 108, 56, 128)(37, 109, 48, 120)(38, 110, 49, 121)(39, 111, 42, 114)(40, 112, 58, 130)(43, 115, 57, 129)(44, 116, 55, 127)(45, 117, 52, 124)(46, 118, 54, 126)(50, 122, 53, 125)(59, 131, 64, 136)(60, 132, 70, 142)(61, 133, 69, 141)(62, 134, 67, 139)(63, 135, 65, 137)(66, 138, 68, 140)(71, 143, 72, 144)(145, 217, 147, 219, 155, 227, 149, 221)(146, 218, 151, 223, 166, 238, 153, 225)(148, 220, 158, 230, 185, 257, 160, 232)(150, 222, 163, 235, 195, 267, 164, 236)(152, 224, 169, 241, 177, 249, 171, 243)(154, 226, 174, 246, 178, 250, 175, 247)(156, 228, 179, 251, 167, 239, 181, 253)(157, 229, 182, 254, 168, 240, 183, 255)(159, 231, 180, 252, 203, 275, 189, 261)(161, 233, 191, 263, 172, 244, 192, 264)(162, 234, 193, 265, 173, 245, 186, 258)(165, 237, 184, 256, 204, 276, 194, 266)(170, 242, 196, 268, 208, 280, 200, 272)(176, 248, 197, 269, 214, 286, 202, 274)(187, 259, 210, 282, 198, 270, 211, 283)(188, 260, 209, 281, 216, 288, 205, 277)(190, 262, 212, 284, 201, 273, 206, 278)(199, 271, 213, 285, 215, 287, 207, 279)
	L = (1, 148)(2, 152)(3, 156)(4, 159)(5, 161)(6, 145)(7, 167)(8, 170)(9, 172)(10, 146)(11, 177)(12, 180)(13, 147)(14, 186)(15, 188)(16, 182)(17, 189)(18, 149)(19, 187)(20, 190)(21, 150)(22, 185)(23, 196)(24, 151)(25, 193)(26, 199)(27, 183)(28, 200)(29, 153)(30, 198)(31, 201)(32, 154)(33, 203)(34, 155)(35, 164)(36, 206)(37, 175)(38, 205)(39, 207)(40, 157)(41, 208)(42, 209)(43, 158)(44, 165)(45, 210)(46, 160)(47, 174)(48, 163)(49, 213)(50, 162)(51, 166)(52, 212)(53, 168)(54, 169)(55, 176)(56, 211)(57, 171)(58, 173)(59, 215)(60, 178)(61, 179)(62, 184)(63, 181)(64, 216)(65, 192)(66, 194)(67, 202)(68, 197)(69, 191)(70, 195)(71, 204)(72, 214)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1787
Graph:: simple bipartite
	v = 54 e = 144 f = 36
	degree seq :: [ 4^36, 8^18 ]

E28.1775 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y1 * Y3^-1 * Y1, Y2^4, (R * Y1)^2, (R * Y3)^2, Y3^-2 * Y2^-1 * Y3^2 * Y2, (Y1 * Y2^-1)^3, Y3 * Y2 * Y1 * Y3^-1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y2^-1 * Y3 * Y2 * Y1, (Y2^-1 * Y3^-1)^3, Y3^6, Y2^-1 * Y1 * Y2^-1 * Y3 * Y2 * Y3^-1, (Y3 * Y2^-1)^3, Y2 * Y3^-1 * Y2 * Y1 * Y3^-2 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 8, 80)(5, 77, 18, 90)(6, 78, 10, 82)(7, 79, 24, 96)(9, 81, 31, 103)(12, 84, 38, 110)(13, 85, 30, 102)(14, 86, 35, 107)(15, 87, 32, 104)(16, 88, 29, 101)(17, 89, 26, 98)(19, 91, 28, 100)(20, 92, 34, 106)(21, 93, 33, 105)(22, 94, 27, 99)(23, 95, 36, 108)(25, 97, 54, 126)(37, 109, 69, 141)(39, 111, 61, 133)(40, 112, 68, 140)(41, 113, 60, 132)(42, 114, 59, 131)(43, 115, 58, 130)(44, 116, 57, 129)(45, 117, 55, 127)(46, 118, 64, 136)(47, 119, 63, 135)(48, 120, 62, 134)(49, 121, 70, 142)(50, 122, 67, 139)(51, 123, 66, 138)(52, 124, 56, 128)(53, 125, 71, 143)(65, 137, 72, 144)(145, 217, 147, 219, 156, 228, 149, 221)(146, 218, 151, 223, 169, 241, 153, 225)(148, 220, 159, 231, 189, 261, 161, 233)(150, 222, 165, 237, 196, 268, 166, 238)(152, 224, 172, 244, 205, 277, 174, 246)(154, 226, 178, 250, 212, 284, 179, 251)(155, 227, 175, 247, 209, 281, 181, 253)(157, 229, 185, 257, 210, 282, 176, 248)(158, 230, 187, 259, 206, 278, 177, 249)(160, 232, 186, 258, 200, 272, 192, 264)(162, 234, 193, 265, 197, 269, 168, 240)(163, 235, 170, 242, 201, 273, 194, 266)(164, 236, 171, 243, 203, 275, 190, 262)(167, 239, 188, 260, 199, 271, 195, 267)(173, 245, 202, 274, 184, 256, 208, 280)(180, 252, 204, 276, 183, 255, 211, 283)(182, 254, 213, 285, 191, 263, 214, 286)(198, 270, 215, 287, 207, 279, 216, 288)
	L = (1, 148)(2, 152)(3, 157)(4, 160)(5, 163)(6, 145)(7, 170)(8, 173)(9, 176)(10, 146)(11, 174)(12, 183)(13, 186)(14, 147)(15, 190)(16, 191)(17, 187)(18, 172)(19, 192)(20, 149)(21, 175)(22, 168)(23, 150)(24, 161)(25, 199)(26, 202)(27, 151)(28, 206)(29, 207)(30, 203)(31, 159)(32, 208)(33, 153)(34, 162)(35, 155)(36, 154)(37, 204)(38, 205)(39, 200)(40, 156)(41, 166)(42, 197)(43, 213)(44, 158)(45, 212)(46, 214)(47, 167)(48, 209)(49, 211)(50, 165)(51, 164)(52, 198)(53, 188)(54, 189)(55, 184)(56, 169)(57, 179)(58, 181)(59, 215)(60, 171)(61, 196)(62, 216)(63, 180)(64, 193)(65, 195)(66, 178)(67, 177)(68, 182)(69, 185)(70, 194)(71, 201)(72, 210)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1784
Graph:: simple bipartite
	v = 54 e = 144 f = 36
	degree seq :: [ 4^36, 8^18 ]

E28.1776 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, (R * Y3)^2, (R * Y1)^2, Y3 * Y2 * Y3^-1 * Y1 * Y2 * Y1, Y3^-1 * Y1 * Y3^-2 * Y2^2, Y3^-1 * Y1 * Y2^-1 * Y3^-2 * Y2, (Y3 * Y2^-1)^3, Y3^2 * Y2^-1 * Y3^-2 * Y2^-1, Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y2^2 * Y3^-2, (Y2 * Y1)^3, Y3^-1 * Y2 * Y1 * Y2 * Y3 * Y2^-1, Y1 * Y3^-2 * Y1 * Y3^2, (Y3^-1 * Y2^-1)^3, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2^-1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2^-2 * Y1, (Y2^-2 * Y3 * Y1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 15, 87)(5, 77, 19, 91)(6, 78, 22, 94)(7, 79, 26, 98)(8, 80, 30, 102)(9, 81, 34, 106)(10, 82, 37, 109)(12, 84, 42, 114)(13, 85, 44, 116)(14, 86, 47, 119)(16, 88, 52, 124)(17, 89, 32, 104)(18, 90, 45, 117)(20, 92, 50, 122)(21, 93, 46, 118)(23, 95, 48, 120)(24, 96, 54, 126)(25, 97, 40, 112)(27, 99, 56, 128)(28, 100, 58, 130)(29, 101, 61, 133)(31, 103, 66, 138)(33, 105, 59, 131)(35, 107, 64, 136)(36, 108, 60, 132)(38, 110, 62, 134)(39, 111, 68, 140)(41, 113, 69, 141)(43, 115, 57, 129)(49, 121, 63, 135)(51, 123, 65, 137)(53, 125, 70, 142)(55, 127, 71, 143)(67, 139, 72, 144)(145, 217, 147, 219, 156, 228, 149, 221)(146, 218, 151, 223, 171, 243, 153, 225)(148, 220, 160, 232, 184, 256, 162, 234)(150, 222, 167, 239, 193, 265, 168, 240)(152, 224, 175, 247, 169, 241, 177, 249)(154, 226, 182, 254, 207, 279, 183, 255)(155, 227, 178, 250, 211, 283, 185, 257)(157, 229, 189, 261, 210, 282, 179, 251)(158, 230, 180, 252, 212, 284, 192, 264)(159, 231, 188, 260, 201, 273, 194, 266)(161, 233, 191, 263, 166, 238, 190, 262)(163, 235, 197, 269, 199, 271, 170, 242)(164, 236, 172, 244, 203, 275, 196, 268)(165, 237, 198, 270, 206, 278, 173, 245)(174, 246, 202, 274, 187, 259, 208, 280)(176, 248, 205, 277, 181, 253, 204, 276)(186, 258, 213, 285, 195, 267, 214, 286)(200, 272, 215, 287, 209, 281, 216, 288)
	L = (1, 148)(2, 152)(3, 157)(4, 161)(5, 164)(6, 145)(7, 172)(8, 176)(9, 179)(10, 146)(11, 177)(12, 187)(13, 190)(14, 147)(15, 193)(16, 173)(17, 171)(18, 180)(19, 175)(20, 191)(21, 149)(22, 195)(23, 170)(24, 178)(25, 150)(26, 162)(27, 201)(28, 204)(29, 151)(30, 207)(31, 158)(32, 156)(33, 165)(34, 160)(35, 205)(36, 153)(37, 209)(38, 155)(39, 163)(40, 154)(41, 202)(42, 169)(43, 166)(44, 212)(45, 168)(46, 211)(47, 199)(48, 213)(49, 200)(50, 206)(51, 159)(52, 167)(53, 208)(54, 214)(55, 188)(56, 184)(57, 181)(58, 198)(59, 183)(60, 197)(61, 185)(62, 215)(63, 186)(64, 192)(65, 174)(66, 182)(67, 194)(68, 216)(69, 189)(70, 196)(71, 203)(72, 210)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1785
Graph:: simple bipartite
	v = 54 e = 144 f = 36
	degree seq :: [ 4^36, 8^18 ]

E28.1777 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, (R * Y3)^2, (R * Y1)^2, Y2 * Y1 * Y3^-1 * Y2 * Y3 * Y1, Y2^-1 * Y3^2 * Y2^-1 * Y3^-2, (Y3 * Y2^-1)^3, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y3^-1)^3, Y2 * Y3 * Y1 * Y2^-1 * Y3^2, Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1, Y2^-1 * Y3^-2 * Y1 * Y3^-1 * Y2^-1, Y1 * Y3^2 * Y1 * Y3^-2, (Y2 * Y1)^3, Y3 * Y2^-1 * Y3^-1 * Y1 * Y2 * Y1, Y3 * Y1 * Y3 * Y1 * Y3 * Y2^-2 * Y1, (Y3 * Y2^2 * Y1)^3 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 15, 87)(5, 77, 19, 91)(6, 78, 22, 94)(7, 79, 26, 98)(8, 80, 30, 102)(9, 81, 34, 106)(10, 82, 37, 109)(12, 84, 42, 114)(13, 85, 44, 116)(14, 86, 46, 118)(16, 88, 45, 117)(17, 89, 32, 104)(18, 90, 52, 124)(20, 92, 48, 120)(21, 93, 54, 126)(23, 95, 51, 123)(24, 96, 47, 119)(25, 97, 40, 112)(27, 99, 56, 128)(28, 100, 58, 130)(29, 101, 60, 132)(31, 103, 59, 131)(33, 105, 66, 138)(35, 107, 62, 134)(36, 108, 68, 140)(38, 110, 65, 137)(39, 111, 61, 133)(41, 113, 69, 141)(43, 115, 57, 129)(49, 121, 63, 135)(50, 122, 64, 136)(53, 125, 70, 142)(55, 127, 71, 143)(67, 139, 72, 144)(145, 217, 147, 219, 156, 228, 149, 221)(146, 218, 151, 223, 171, 243, 153, 225)(148, 220, 160, 232, 194, 266, 162, 234)(150, 222, 167, 239, 176, 248, 168, 240)(152, 224, 175, 247, 208, 280, 177, 249)(154, 226, 182, 254, 161, 233, 183, 255)(155, 227, 178, 250, 211, 283, 185, 257)(157, 229, 179, 251, 210, 282, 189, 261)(158, 230, 191, 263, 209, 281, 180, 252)(159, 231, 192, 264, 169, 241, 188, 260)(163, 235, 197, 269, 199, 271, 170, 242)(164, 236, 196, 268, 203, 275, 172, 244)(165, 237, 173, 245, 205, 277, 195, 267)(166, 238, 190, 262, 201, 273, 198, 270)(174, 246, 206, 278, 184, 256, 202, 274)(181, 253, 204, 276, 187, 259, 212, 284)(186, 258, 213, 285, 193, 265, 214, 286)(200, 272, 215, 287, 207, 279, 216, 288)
	L = (1, 148)(2, 152)(3, 157)(4, 161)(5, 164)(6, 145)(7, 172)(8, 176)(9, 179)(10, 146)(11, 175)(12, 184)(13, 182)(14, 147)(15, 187)(16, 195)(17, 186)(18, 191)(19, 177)(20, 183)(21, 149)(22, 193)(23, 178)(24, 170)(25, 150)(26, 160)(27, 169)(28, 167)(29, 151)(30, 201)(31, 209)(32, 200)(33, 205)(34, 162)(35, 168)(36, 153)(37, 207)(38, 163)(39, 155)(40, 154)(41, 202)(42, 208)(43, 156)(44, 165)(45, 212)(46, 199)(47, 213)(48, 158)(49, 159)(50, 166)(51, 214)(52, 204)(53, 206)(54, 211)(55, 188)(56, 194)(57, 171)(58, 180)(59, 198)(60, 185)(61, 215)(62, 173)(63, 174)(64, 181)(65, 216)(66, 190)(67, 192)(68, 197)(69, 189)(70, 196)(71, 203)(72, 210)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1786
Graph:: simple bipartite
	v = 54 e = 144 f = 36
	degree seq :: [ 4^36, 8^18 ]

E28.1778 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (C3 x A4) : C2 (small group id <72, 43>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3)^2, (Y3 * Y1 * Y2^-1)^2, (Y1 * Y2)^3, (Y3 * Y2)^3, (Y2 * Y3 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 12, 84)(5, 77, 15, 87)(6, 78, 17, 89)(7, 79, 20, 92)(8, 80, 23, 95)(10, 82, 27, 99)(11, 83, 22, 94)(13, 85, 24, 96)(14, 86, 19, 91)(16, 88, 21, 93)(18, 90, 39, 111)(25, 97, 48, 120)(26, 98, 50, 122)(28, 100, 49, 121)(29, 101, 51, 123)(30, 102, 43, 115)(31, 103, 42, 114)(32, 104, 56, 128)(33, 105, 58, 130)(34, 106, 57, 129)(35, 107, 52, 124)(36, 108, 37, 109)(38, 110, 61, 133)(40, 112, 60, 132)(41, 113, 62, 134)(44, 116, 67, 139)(45, 117, 69, 141)(46, 118, 68, 140)(47, 119, 63, 135)(53, 125, 66, 138)(54, 126, 70, 142)(55, 127, 64, 136)(59, 131, 65, 137)(71, 143, 72, 144)(145, 217, 147, 219, 154, 226, 149, 221)(146, 218, 150, 222, 162, 234, 152, 224)(148, 220, 157, 229, 177, 249, 158, 230)(151, 223, 165, 237, 189, 261, 166, 238)(153, 225, 167, 239, 191, 263, 170, 242)(155, 227, 173, 245, 199, 271, 174, 246)(156, 228, 175, 247, 193, 265, 169, 241)(159, 231, 179, 251, 182, 254, 161, 233)(160, 232, 180, 252, 203, 275, 178, 250)(163, 235, 185, 257, 210, 282, 186, 258)(164, 236, 187, 259, 204, 276, 181, 253)(168, 240, 192, 264, 214, 286, 190, 262)(171, 243, 194, 266, 215, 287, 196, 268)(172, 244, 197, 269, 211, 283, 198, 270)(176, 248, 195, 267, 213, 285, 201, 273)(183, 255, 205, 277, 216, 288, 207, 279)(184, 256, 208, 280, 200, 272, 209, 281)(188, 260, 206, 278, 202, 274, 212, 284)
	L = (1, 148)(2, 151)(3, 155)(4, 145)(5, 160)(6, 163)(7, 146)(8, 168)(9, 169)(10, 172)(11, 147)(12, 176)(13, 178)(14, 173)(15, 175)(16, 149)(17, 181)(18, 184)(19, 150)(20, 188)(21, 190)(22, 185)(23, 187)(24, 152)(25, 153)(26, 195)(27, 189)(28, 154)(29, 158)(30, 197)(31, 159)(32, 156)(33, 183)(34, 157)(35, 201)(36, 198)(37, 161)(38, 206)(39, 177)(40, 162)(41, 166)(42, 208)(43, 167)(44, 164)(45, 171)(46, 165)(47, 212)(48, 209)(49, 204)(50, 214)(51, 170)(52, 210)(53, 174)(54, 180)(55, 207)(56, 215)(57, 179)(58, 213)(59, 205)(60, 193)(61, 203)(62, 182)(63, 199)(64, 186)(65, 192)(66, 196)(67, 216)(68, 191)(69, 202)(70, 194)(71, 200)(72, 211)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1781
Graph:: simple bipartite
	v = 54 e = 144 f = 36
	degree seq :: [ 4^36, 8^18 ]

E28.1779 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (C3 x A4) : C2 (small group id <72, 43>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, (R * Y3)^2, (R * Y1)^2, Y3^4, (Y2^-2 * Y3)^2, (Y3 * Y2)^3, Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y2^-1, (Y2^-1 * Y3^2)^2, (Y2^-1 * Y3^-1 * Y2^-1)^2, (Y2 * Y1)^3, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1 * Y3^-1)^2, Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, (Y3^-1 * Y1 * Y2^-1)^2, Y2^-1 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1, (Y3^-1 * Y1 * Y2)^2, Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y2^-2 * Y1, Y2 * R * Y1 * Y2 * Y1 * Y3^-1 * R * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 15, 87)(5, 77, 19, 91)(6, 78, 22, 94)(7, 79, 25, 97)(8, 80, 29, 101)(9, 81, 33, 105)(10, 82, 36, 108)(12, 84, 42, 114)(13, 85, 37, 109)(14, 86, 32, 104)(16, 88, 35, 107)(17, 89, 31, 103)(18, 90, 28, 100)(20, 92, 38, 110)(21, 93, 30, 102)(23, 95, 27, 99)(24, 96, 34, 106)(26, 98, 59, 131)(39, 111, 62, 134)(40, 112, 63, 135)(41, 113, 66, 138)(43, 115, 67, 139)(44, 116, 69, 141)(45, 117, 56, 128)(46, 118, 57, 129)(47, 119, 68, 140)(48, 120, 72, 144)(49, 121, 58, 130)(50, 122, 60, 132)(51, 123, 64, 136)(52, 124, 61, 133)(53, 125, 71, 143)(54, 126, 70, 142)(55, 127, 65, 137)(145, 217, 147, 219, 156, 228, 149, 221)(146, 218, 151, 223, 170, 242, 153, 225)(148, 220, 160, 232, 188, 260, 162, 234)(150, 222, 167, 239, 187, 259, 168, 240)(152, 224, 174, 246, 205, 277, 176, 248)(154, 226, 181, 253, 204, 276, 182, 254)(155, 227, 177, 249, 215, 287, 184, 256)(157, 229, 189, 261, 165, 237, 191, 263)(158, 230, 192, 264, 164, 236, 193, 265)(159, 231, 185, 257, 211, 283, 195, 267)(161, 233, 197, 269, 203, 275, 190, 262)(163, 235, 198, 270, 201, 273, 169, 241)(166, 238, 199, 271, 213, 285, 183, 255)(171, 243, 206, 278, 179, 251, 208, 280)(172, 244, 209, 281, 178, 250, 210, 282)(173, 245, 202, 274, 194, 266, 212, 284)(175, 247, 214, 286, 186, 258, 207, 279)(180, 252, 216, 288, 196, 268, 200, 272)
	L = (1, 148)(2, 152)(3, 157)(4, 161)(5, 164)(6, 145)(7, 171)(8, 175)(9, 178)(10, 146)(11, 183)(12, 187)(13, 190)(14, 147)(15, 194)(16, 189)(17, 150)(18, 192)(19, 199)(20, 197)(21, 149)(22, 196)(23, 191)(24, 193)(25, 200)(26, 204)(27, 207)(28, 151)(29, 211)(30, 206)(31, 154)(32, 209)(33, 216)(34, 214)(35, 153)(36, 213)(37, 208)(38, 210)(39, 201)(40, 202)(41, 155)(42, 205)(43, 203)(44, 156)(45, 168)(46, 158)(47, 162)(48, 167)(49, 160)(50, 166)(51, 163)(52, 159)(53, 165)(54, 212)(55, 215)(56, 184)(57, 185)(58, 169)(59, 188)(60, 186)(61, 170)(62, 182)(63, 172)(64, 176)(65, 181)(66, 174)(67, 180)(68, 177)(69, 173)(70, 179)(71, 195)(72, 198)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1782
Graph:: simple bipartite
	v = 54 e = 144 f = 36
	degree seq :: [ 4^36, 8^18 ]

E28.1780 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (C3 x A4) : C2 (small group id <72, 43>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, Y3^4, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^3, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y3 * Y2^-1)^2, (Y3^-1 * Y1 * Y3^-1)^2, (Y2^-1 * Y3^-1 * Y2^-1)^2, (Y2^-1 * Y3^2)^2, (Y2^-1 * Y1 * Y3^-1)^2, Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y2^-1, (Y3 * Y1 * Y2^-1)^2, (Y1 * Y2^-1)^3, Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2^-1, (Y3^-1 * Y2^-1)^3, Y3 * Y1 * Y3^-1 * Y2 * Y3 * Y1 * Y2^-1 * Y1, (Y3 * Y1)^6 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 15, 87)(5, 77, 19, 91)(6, 78, 22, 94)(7, 79, 25, 97)(8, 80, 29, 101)(9, 81, 33, 105)(10, 82, 36, 108)(12, 84, 42, 114)(13, 85, 38, 110)(14, 86, 30, 102)(16, 88, 28, 100)(17, 89, 31, 103)(18, 90, 35, 107)(20, 92, 37, 109)(21, 93, 32, 104)(23, 95, 34, 106)(24, 96, 27, 99)(26, 98, 59, 131)(39, 111, 64, 136)(40, 112, 63, 135)(41, 113, 65, 137)(43, 115, 69, 141)(44, 116, 68, 140)(45, 117, 67, 139)(46, 118, 57, 129)(47, 119, 56, 128)(48, 120, 58, 130)(49, 121, 72, 144)(50, 122, 62, 134)(51, 123, 61, 133)(52, 124, 60, 132)(53, 125, 71, 143)(54, 126, 70, 142)(55, 127, 66, 138)(145, 217, 147, 219, 156, 228, 149, 221)(146, 218, 151, 223, 170, 242, 153, 225)(148, 220, 160, 232, 188, 260, 162, 234)(150, 222, 167, 239, 187, 259, 168, 240)(152, 224, 174, 246, 205, 277, 176, 248)(154, 226, 181, 253, 204, 276, 182, 254)(155, 227, 177, 249, 215, 287, 184, 256)(157, 229, 189, 261, 165, 237, 191, 263)(158, 230, 192, 264, 164, 236, 193, 265)(159, 231, 194, 266, 213, 285, 185, 257)(161, 233, 197, 269, 203, 275, 190, 262)(163, 235, 198, 270, 201, 273, 169, 241)(166, 238, 183, 255, 212, 284, 199, 271)(171, 243, 206, 278, 179, 251, 208, 280)(172, 244, 209, 281, 178, 250, 210, 282)(173, 245, 211, 283, 196, 268, 202, 274)(175, 247, 214, 286, 186, 258, 207, 279)(180, 252, 200, 272, 195, 267, 216, 288)
	L = (1, 148)(2, 152)(3, 157)(4, 161)(5, 164)(6, 145)(7, 171)(8, 175)(9, 178)(10, 146)(11, 183)(12, 187)(13, 190)(14, 147)(15, 195)(16, 189)(17, 150)(18, 192)(19, 199)(20, 197)(21, 149)(22, 196)(23, 191)(24, 193)(25, 200)(26, 204)(27, 207)(28, 151)(29, 212)(30, 206)(31, 154)(32, 209)(33, 216)(34, 214)(35, 153)(36, 213)(37, 208)(38, 210)(39, 201)(40, 202)(41, 155)(42, 205)(43, 203)(44, 156)(45, 168)(46, 158)(47, 162)(48, 167)(49, 160)(50, 163)(51, 166)(52, 159)(53, 165)(54, 211)(55, 215)(56, 184)(57, 185)(58, 169)(59, 188)(60, 186)(61, 170)(62, 182)(63, 172)(64, 176)(65, 181)(66, 174)(67, 177)(68, 180)(69, 173)(70, 179)(71, 194)(72, 198)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1783
Graph:: simple bipartite
	v = 54 e = 144 f = 36
	degree seq :: [ 4^36, 8^18 ]

E28.1781 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (C3 x A4) : C2 (small group id <72, 43>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^3, (Y1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, (Y1 * Y2)^3, (Y1 * Y2^-1)^3, Y1^-1 * Y2^-1 * Y1 * Y3 * Y2^-1 * Y3, Y2^2 * Y1 * Y2^-2 * Y1^-1, (R * Y2 * Y3)^2, Y2^6, (Y3 * Y2^-2)^2, (Y1^-1 * Y2^-1)^3, (Y2 * Y1^-1)^3, Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2 * Y1^-1, (Y2, Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 10, 82, 13, 85)(4, 76, 14, 86, 8, 80)(6, 78, 19, 91, 21, 93)(7, 79, 23, 95, 26, 98)(9, 81, 29, 101, 31, 103)(11, 83, 24, 96, 37, 109)(12, 84, 38, 110, 28, 100)(15, 87, 44, 116, 47, 119)(16, 88, 48, 120, 50, 122)(17, 89, 49, 121, 51, 123)(18, 90, 46, 118, 33, 105)(20, 92, 53, 125, 27, 99)(22, 94, 32, 104, 52, 124)(25, 97, 54, 126, 43, 115)(30, 102, 40, 112, 42, 114)(34, 106, 62, 134, 59, 131)(35, 107, 61, 133, 55, 127)(36, 108, 64, 136, 57, 129)(39, 111, 67, 139, 69, 141)(41, 113, 68, 140, 56, 128)(45, 117, 70, 142, 60, 132)(58, 130, 65, 137, 66, 138)(63, 135, 71, 143, 72, 144)(145, 217, 147, 219, 155, 227, 179, 251, 166, 238, 150, 222)(146, 218, 151, 223, 168, 240, 200, 272, 176, 248, 153, 225)(148, 220, 159, 231, 189, 261, 209, 281, 180, 252, 160, 232)(149, 221, 161, 233, 181, 253, 206, 278, 196, 268, 162, 234)(152, 224, 171, 243, 204, 276, 216, 288, 201, 273, 172, 244)(154, 226, 177, 249, 205, 277, 195, 267, 163, 235, 178, 250)(156, 228, 183, 255, 164, 236, 198, 270, 207, 279, 184, 256)(157, 229, 173, 245, 199, 271, 167, 239, 165, 237, 185, 257)(158, 230, 186, 258, 214, 286, 211, 283, 208, 280, 187, 259)(169, 241, 202, 274, 174, 246, 194, 266, 213, 285, 191, 263)(170, 242, 190, 262, 212, 284, 193, 265, 175, 247, 203, 275)(182, 254, 210, 282, 197, 269, 192, 264, 215, 287, 188, 260)
	L = (1, 148)(2, 152)(3, 156)(4, 145)(5, 158)(6, 164)(7, 169)(8, 146)(9, 174)(10, 172)(11, 180)(12, 147)(13, 182)(14, 149)(15, 190)(16, 193)(17, 192)(18, 188)(19, 171)(20, 150)(21, 197)(22, 189)(23, 187)(24, 201)(25, 151)(26, 198)(27, 163)(28, 154)(29, 186)(30, 153)(31, 184)(32, 204)(33, 191)(34, 202)(35, 207)(36, 155)(37, 208)(38, 157)(39, 212)(40, 175)(41, 211)(42, 173)(43, 167)(44, 162)(45, 166)(46, 159)(47, 177)(48, 161)(49, 160)(50, 195)(51, 194)(52, 214)(53, 165)(54, 170)(55, 215)(56, 213)(57, 168)(58, 178)(59, 209)(60, 176)(61, 216)(62, 210)(63, 179)(64, 181)(65, 203)(66, 206)(67, 185)(68, 183)(69, 200)(70, 196)(71, 199)(72, 205)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.1778
Graph:: simple bipartite
	v = 36 e = 144 f = 54
	degree seq :: [ 6^24, 12^12 ]

E28.1782 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (C3 x A4) : C2 (small group id <72, 43>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^3, (Y1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y2 * Y1^-1 * Y3 * Y2, (Y3 * Y2 * Y1^-1)^2, (Y3 * Y2^-2)^2, (Y1^-1 * Y2^-1)^3, (R * Y2 * Y3)^2, (Y2 * Y1^-1)^3, Y2^6, Y2^2 * Y1 * Y2^-2 * Y1^-1, Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y1 * Y3 * Y1^-1, (Y3 * Y2)^4, (Y2, Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 10, 82, 13, 85)(4, 76, 14, 86, 8, 80)(6, 78, 19, 91, 21, 93)(7, 79, 23, 95, 26, 98)(9, 81, 29, 101, 31, 103)(11, 83, 24, 96, 38, 110)(12, 84, 39, 111, 34, 106)(15, 87, 44, 116, 30, 102)(16, 88, 46, 118, 25, 97)(17, 89, 47, 119, 49, 121)(18, 90, 50, 122, 33, 105)(20, 92, 43, 115, 53, 125)(22, 94, 32, 104, 52, 124)(27, 99, 41, 113, 51, 123)(28, 100, 54, 126, 48, 120)(35, 107, 63, 135, 59, 131)(36, 108, 61, 133, 55, 127)(37, 109, 66, 138, 57, 129)(40, 112, 68, 140, 64, 136)(42, 114, 69, 141, 56, 128)(45, 117, 71, 143, 60, 132)(58, 130, 65, 137, 72, 144)(62, 134, 67, 139, 70, 142)(145, 217, 147, 219, 155, 227, 180, 252, 166, 238, 150, 222)(146, 218, 151, 223, 168, 240, 200, 272, 176, 248, 153, 225)(148, 220, 159, 231, 189, 261, 211, 283, 181, 253, 160, 232)(149, 221, 161, 233, 182, 254, 207, 279, 196, 268, 162, 234)(152, 224, 171, 243, 204, 276, 208, 280, 201, 273, 172, 244)(154, 226, 177, 249, 205, 277, 193, 265, 163, 235, 179, 251)(156, 228, 184, 256, 164, 236, 198, 270, 209, 281, 185, 257)(157, 229, 173, 245, 199, 271, 167, 239, 165, 237, 186, 258)(158, 230, 187, 259, 215, 287, 216, 288, 210, 282, 183, 255)(169, 241, 202, 274, 174, 246, 178, 250, 206, 278, 197, 269)(170, 242, 194, 266, 213, 285, 191, 263, 175, 247, 203, 275)(188, 260, 192, 264, 214, 286, 195, 267, 190, 262, 212, 284)
	L = (1, 148)(2, 152)(3, 156)(4, 145)(5, 158)(6, 164)(7, 169)(8, 146)(9, 174)(10, 178)(11, 181)(12, 147)(13, 183)(14, 149)(15, 175)(16, 170)(17, 192)(18, 195)(19, 197)(20, 150)(21, 187)(22, 189)(23, 190)(24, 201)(25, 151)(26, 160)(27, 177)(28, 193)(29, 188)(30, 153)(31, 159)(32, 204)(33, 171)(34, 154)(35, 208)(36, 209)(37, 155)(38, 210)(39, 157)(40, 203)(41, 194)(42, 214)(43, 165)(44, 173)(45, 166)(46, 167)(47, 198)(48, 161)(49, 172)(50, 185)(51, 162)(52, 215)(53, 163)(54, 191)(55, 216)(56, 206)(57, 168)(58, 205)(59, 184)(60, 176)(61, 202)(62, 200)(63, 212)(64, 179)(65, 180)(66, 182)(67, 213)(68, 207)(69, 211)(70, 186)(71, 196)(72, 199)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.1779
Graph:: simple bipartite
	v = 36 e = 144 f = 54
	degree seq :: [ 6^24, 12^12 ]

E28.1783 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (C3 x A4) : C2 (small group id <72, 43>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2 * Y3 * Y2 * Y3^-1, R * Y2 * R * Y2^-1, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, Y3^4, Y2 * Y3^-2 * Y2^2, (Y1 * Y3^-1 * Y2)^2, (Y1 * Y3^-1 * Y2^-1)^2, (Y2 * Y1^-1)^3, (Y2^-1 * Y1^-1)^3, Y1 * Y2^2 * Y1^-1 * Y2^-2, Y2^-1 * Y1 * Y2 * Y1 * Y3^2 * Y1 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 12, 84, 15, 87)(4, 76, 17, 89, 20, 92)(6, 78, 24, 96, 25, 97)(7, 79, 28, 100, 9, 81)(8, 80, 29, 101, 32, 104)(10, 82, 36, 108, 37, 109)(11, 83, 40, 112, 22, 94)(13, 85, 30, 102, 45, 117)(14, 86, 46, 118, 33, 105)(16, 88, 49, 121, 42, 114)(18, 90, 53, 125, 39, 111)(19, 91, 54, 126, 55, 127)(21, 93, 57, 129, 58, 130)(23, 95, 60, 132, 41, 113)(26, 98, 38, 110, 61, 133)(27, 99, 59, 131, 62, 134)(31, 103, 64, 136, 51, 123)(34, 106, 67, 139, 50, 122)(35, 107, 48, 120, 68, 140)(43, 115, 52, 124, 66, 138)(44, 116, 65, 137, 47, 119)(56, 128, 69, 141, 63, 135)(70, 142, 72, 144, 71, 143)(145, 217, 147, 219, 157, 229, 163, 235, 170, 242, 150, 222)(146, 218, 152, 224, 174, 246, 179, 251, 182, 254, 154, 226)(148, 220, 162, 234, 160, 232, 151, 223, 171, 243, 158, 230)(149, 221, 165, 237, 189, 261, 196, 268, 205, 277, 167, 239)(153, 225, 178, 250, 177, 249, 155, 227, 183, 255, 175, 247)(156, 228, 185, 257, 198, 270, 202, 274, 168, 240, 187, 259)(159, 231, 180, 252, 199, 271, 173, 245, 169, 241, 192, 264)(161, 233, 194, 266, 193, 265, 166, 238, 203, 275, 195, 267)(164, 236, 200, 272, 186, 258, 214, 286, 206, 278, 188, 260)(172, 244, 207, 279, 190, 262, 215, 287, 197, 269, 191, 263)(176, 248, 204, 276, 212, 284, 201, 273, 181, 253, 210, 282)(184, 256, 213, 285, 208, 280, 216, 288, 211, 283, 209, 281)
	L = (1, 148)(2, 153)(3, 158)(4, 163)(5, 166)(6, 162)(7, 145)(8, 175)(9, 179)(10, 178)(11, 146)(12, 186)(13, 171)(14, 170)(15, 191)(16, 147)(17, 149)(18, 157)(19, 151)(20, 187)(21, 193)(22, 196)(23, 203)(24, 206)(25, 207)(26, 160)(27, 150)(28, 199)(29, 190)(30, 183)(31, 182)(32, 209)(33, 152)(34, 174)(35, 155)(36, 197)(37, 213)(38, 177)(39, 154)(40, 212)(41, 200)(42, 202)(43, 214)(44, 156)(45, 194)(46, 159)(47, 173)(48, 172)(49, 205)(50, 167)(51, 165)(52, 161)(53, 169)(54, 164)(55, 215)(56, 168)(57, 208)(58, 188)(59, 189)(60, 211)(61, 195)(62, 185)(63, 180)(64, 176)(65, 201)(66, 184)(67, 181)(68, 216)(69, 204)(70, 198)(71, 192)(72, 210)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.1780
Graph:: simple bipartite
	v = 36 e = 144 f = 54
	degree seq :: [ 6^24, 12^12 ]

E28.1784 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^-2 * Y3^2, (Y3^-1 * Y1^-1)^2, Y3^-1 * Y2^2 * Y3^-1, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, Y2^-1 * Y1 * R * Y2^-1 * R * Y1^-1, Y2^-1 * Y1 * Y2^2 * Y1^-1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y3^-1 * Y1 * Y3 * Y2, (Y2 * Y3 * Y1^-1)^2, Y3^3 * Y1^-1 * Y3 * Y1^-1, (Y2 * Y1^-1)^3, Y2 * Y3^-1 * Y1^-1 * Y2 * Y1 * Y3^-1, (Y1^-1 * Y2^-1)^3, Y3 * Y2 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y2, Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y1, Y2 * Y1^-1 * Y3^-1 * Y1 * Y2^-1 * Y1 * Y3^-1, Y2 * Y1^-1 * Y2 * Y3 * Y2^-1 * Y1^-1 * Y3^-1, Y1 * Y2^-1 * Y3 * Y2 * Y1 * Y2^-1 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 12, 84, 15, 87)(4, 76, 17, 89, 19, 91)(6, 78, 24, 96, 25, 97)(7, 79, 28, 100, 9, 81)(8, 80, 30, 102, 33, 105)(10, 82, 37, 109, 38, 110)(11, 83, 41, 113, 22, 94)(13, 85, 31, 103, 46, 118)(14, 86, 47, 119, 42, 114)(16, 88, 52, 124, 35, 107)(18, 90, 57, 129, 59, 131)(20, 92, 61, 133, 62, 134)(21, 93, 60, 132, 65, 137)(23, 95, 63, 135, 43, 115)(26, 98, 39, 111, 56, 128)(27, 99, 50, 122, 36, 108)(29, 101, 64, 136, 67, 139)(32, 104, 48, 120, 55, 127)(34, 106, 49, 121, 66, 138)(40, 112, 53, 125, 54, 126)(44, 116, 71, 143, 58, 130)(45, 117, 70, 142, 68, 140)(51, 123, 72, 144, 69, 141)(145, 217, 147, 219, 157, 229, 189, 261, 170, 242, 150, 222)(146, 218, 152, 224, 175, 247, 213, 285, 183, 255, 154, 226)(148, 220, 162, 234, 185, 257, 173, 245, 151, 223, 164, 236)(149, 221, 165, 237, 190, 262, 215, 287, 200, 272, 167, 239)(153, 225, 179, 251, 163, 235, 186, 258, 155, 227, 180, 252)(156, 228, 187, 259, 214, 286, 209, 281, 168, 240, 188, 260)(158, 230, 192, 264, 171, 243, 197, 269, 160, 232, 193, 265)(159, 231, 181, 253, 212, 284, 174, 246, 169, 241, 195, 267)(161, 233, 198, 270, 166, 238, 210, 282, 172, 244, 199, 271)(176, 248, 211, 283, 184, 256, 206, 278, 178, 250, 203, 275)(177, 249, 207, 279, 216, 288, 204, 276, 182, 254, 202, 274)(191, 263, 205, 277, 194, 266, 201, 273, 196, 268, 208, 280)
	L = (1, 148)(2, 153)(3, 158)(4, 157)(5, 166)(6, 160)(7, 145)(8, 176)(9, 175)(10, 178)(11, 146)(12, 179)(13, 185)(14, 189)(15, 194)(16, 147)(17, 149)(18, 202)(19, 183)(20, 204)(21, 208)(22, 190)(23, 201)(24, 180)(25, 191)(26, 151)(27, 150)(28, 200)(29, 207)(30, 210)(31, 163)(32, 213)(33, 197)(34, 152)(35, 214)(36, 156)(37, 198)(38, 192)(39, 155)(40, 154)(41, 170)(42, 168)(43, 211)(44, 203)(45, 171)(46, 172)(47, 159)(48, 177)(49, 182)(50, 212)(51, 199)(52, 169)(53, 216)(54, 174)(55, 181)(56, 161)(57, 165)(58, 173)(59, 187)(60, 162)(61, 167)(62, 188)(63, 164)(64, 215)(65, 206)(66, 195)(67, 209)(68, 196)(69, 184)(70, 186)(71, 205)(72, 193)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.1775
Graph:: simple bipartite
	v = 36 e = 144 f = 54
	degree seq :: [ 6^24, 12^12 ]

E28.1785 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2 * Y3^-2 * Y2, (Y3 * Y1)^2, Y3 * Y2^-2 * Y3, (R * Y1)^2, (R * Y3)^2, R * Y1 * Y2 * Y1^-1 * R * Y2, (Y3^-1 * Y2^-2)^2, Y1 * Y2^-1 * Y3 * Y1 * Y2 * Y3, (Y1^-1 * R * Y2^-1)^2, Y3^-2 * Y1 * Y3^2 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y3 * Y2 * Y1^-1)^2, (Y2 * Y1^-1)^3, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-2, Y3^-1 * Y2^-4 * Y3^-1, (Y2^-1 * Y1^-1)^3, Y3^-1 * Y1^-1 * Y2 * Y3 * Y2 * Y1^-1 * Y2^-1, Y3^-1 * Y2 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2^-1, (Y3^-1 * Y2)^4 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 12, 84, 15, 87)(4, 76, 17, 89, 19, 91)(6, 78, 24, 96, 25, 97)(7, 79, 28, 100, 9, 81)(8, 80, 30, 102, 33, 105)(10, 82, 37, 109, 38, 110)(11, 83, 41, 113, 22, 94)(13, 85, 31, 103, 48, 120)(14, 86, 49, 121, 51, 123)(16, 88, 55, 127, 44, 116)(18, 90, 58, 130, 40, 112)(20, 92, 60, 132, 32, 104)(21, 93, 61, 133, 63, 135)(23, 95, 65, 137, 43, 115)(26, 98, 39, 111, 57, 129)(27, 99, 53, 125, 46, 118)(29, 101, 67, 139, 34, 106)(35, 107, 50, 122, 66, 138)(36, 108, 52, 124, 62, 134)(42, 114, 56, 128, 64, 136)(45, 117, 72, 144, 70, 142)(47, 119, 71, 143, 68, 140)(54, 126, 59, 131, 69, 141)(145, 217, 147, 219, 157, 229, 191, 263, 170, 242, 150, 222)(146, 218, 152, 224, 175, 247, 213, 285, 183, 255, 154, 226)(148, 220, 162, 234, 185, 257, 173, 245, 151, 223, 164, 236)(149, 221, 165, 237, 192, 264, 216, 288, 201, 273, 167, 239)(153, 225, 179, 251, 163, 235, 186, 258, 155, 227, 180, 252)(156, 228, 187, 259, 215, 287, 207, 279, 168, 240, 189, 261)(158, 230, 194, 266, 171, 243, 200, 272, 160, 232, 196, 268)(159, 231, 181, 253, 212, 284, 174, 246, 169, 241, 198, 270)(161, 233, 193, 265, 166, 238, 197, 269, 172, 244, 199, 271)(176, 248, 190, 262, 184, 256, 188, 260, 178, 250, 195, 267)(177, 249, 209, 281, 203, 275, 205, 277, 182, 254, 214, 286)(202, 274, 210, 282, 211, 283, 208, 280, 204, 276, 206, 278)
	L = (1, 148)(2, 153)(3, 158)(4, 157)(5, 166)(6, 160)(7, 145)(8, 176)(9, 175)(10, 178)(11, 146)(12, 188)(13, 185)(14, 191)(15, 197)(16, 147)(17, 149)(18, 203)(19, 183)(20, 177)(21, 206)(22, 192)(23, 208)(24, 190)(25, 193)(26, 151)(27, 150)(28, 201)(29, 182)(30, 211)(31, 163)(32, 213)(33, 162)(34, 152)(35, 189)(36, 207)(37, 202)(38, 164)(39, 155)(40, 154)(41, 170)(42, 187)(43, 180)(44, 215)(45, 186)(46, 156)(47, 171)(48, 172)(49, 159)(50, 205)(51, 168)(52, 209)(53, 212)(54, 204)(55, 169)(56, 214)(57, 161)(58, 174)(59, 173)(60, 181)(61, 200)(62, 216)(63, 179)(64, 165)(65, 194)(66, 167)(67, 198)(68, 199)(69, 184)(70, 196)(71, 195)(72, 210)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.1776
Graph:: simple bipartite
	v = 36 e = 144 f = 54
	degree seq :: [ 6^24, 12^12 ]

E28.1786 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2 * Y3, Y1^3, (Y1 * Y3)^2, (Y1^-1 * Y3^-1)^2, (Y1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2^6, (Y1 * Y2)^3, (Y2 * Y1^-1)^3, Y2^2 * Y1 * Y2^-2 * Y1^-1, (Y3 * Y2^-1)^4, (Y2, Y1^-1)^2, Y2 * Y1 * Y3^-1 * Y1 * Y2^-1 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 12, 84, 14, 86)(4, 76, 16, 88, 17, 89)(6, 78, 22, 94, 23, 95)(7, 79, 25, 97, 9, 81)(8, 80, 26, 98, 28, 100)(10, 82, 31, 103, 32, 104)(11, 83, 34, 106, 20, 92)(13, 85, 27, 99, 40, 112)(15, 87, 44, 116, 36, 108)(18, 90, 49, 121, 50, 122)(19, 91, 52, 124, 47, 119)(21, 93, 54, 126, 35, 107)(24, 96, 33, 105, 55, 127)(29, 101, 41, 113, 58, 130)(30, 102, 64, 136, 65, 137)(37, 109, 70, 142, 63, 135)(38, 110, 67, 139, 42, 114)(39, 111, 68, 140, 59, 131)(43, 115, 71, 143, 60, 132)(45, 117, 61, 133, 72, 144)(46, 118, 62, 134, 56, 128)(48, 120, 66, 138, 57, 129)(51, 123, 53, 125, 69, 141)(145, 217, 147, 219, 157, 229, 183, 255, 168, 240, 150, 222)(146, 218, 152, 224, 171, 243, 204, 276, 177, 249, 154, 226)(148, 220, 151, 223, 159, 231, 185, 257, 195, 267, 162, 234)(149, 221, 163, 235, 184, 256, 214, 286, 199, 271, 165, 237)(153, 225, 155, 227, 173, 245, 205, 277, 194, 266, 174, 246)(156, 228, 179, 251, 212, 284, 191, 263, 166, 238, 181, 253)(158, 230, 175, 247, 203, 275, 170, 242, 167, 239, 187, 259)(160, 232, 189, 261, 188, 260, 209, 281, 197, 269, 164, 236)(161, 233, 190, 262, 180, 252, 182, 254, 213, 285, 192, 264)(169, 241, 201, 273, 202, 274, 200, 272, 193, 265, 186, 258)(172, 244, 198, 270, 215, 287, 196, 268, 176, 248, 207, 279)(178, 250, 211, 283, 216, 288, 210, 282, 208, 280, 206, 278)
	L = (1, 148)(2, 153)(3, 151)(4, 150)(5, 164)(6, 162)(7, 145)(8, 155)(9, 154)(10, 174)(11, 146)(12, 180)(13, 159)(14, 186)(15, 147)(16, 149)(17, 191)(18, 168)(19, 160)(20, 165)(21, 197)(22, 161)(23, 200)(24, 195)(25, 158)(26, 202)(27, 173)(28, 206)(29, 152)(30, 177)(31, 169)(32, 210)(33, 194)(34, 172)(35, 182)(36, 181)(37, 190)(38, 156)(39, 185)(40, 189)(41, 157)(42, 187)(43, 193)(44, 184)(45, 163)(46, 166)(47, 192)(48, 212)(49, 167)(50, 204)(51, 183)(52, 216)(53, 199)(54, 178)(55, 209)(56, 170)(57, 175)(58, 203)(59, 201)(60, 205)(61, 171)(62, 207)(63, 208)(64, 176)(65, 214)(66, 196)(67, 198)(68, 213)(69, 179)(70, 188)(71, 211)(72, 215)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.1777
Graph:: simple bipartite
	v = 36 e = 144 f = 54
	degree seq :: [ 6^24, 12^12 ]

E28.1787 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (Y1^-1 * Y2^-1)^2, (Y1^-1 * Y3^-1)^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y1^-1 * R * Y2^-1 * R, Y1^-1 * Y3 * Y2 * Y3^-1 * Y2, Y3 * Y2^2 * Y3^-1 * Y2^-2, Y2^-3 * Y1^-1 * Y2 * Y1^-1, Y2^6, (Y2 * Y3 * Y1^-1)^2, Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y1^-1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 12, 84, 15, 87)(4, 76, 17, 89, 19, 91)(6, 78, 23, 95, 8, 80)(7, 79, 27, 99, 9, 81)(10, 82, 35, 107, 21, 93)(11, 83, 38, 110, 22, 94)(13, 85, 30, 102, 44, 116)(14, 86, 46, 118, 40, 112)(16, 88, 49, 121, 33, 105)(18, 90, 53, 125, 54, 126)(20, 92, 42, 114, 51, 123)(24, 96, 32, 104, 59, 131)(25, 97, 36, 108, 41, 113)(26, 98, 28, 100, 34, 106)(29, 101, 57, 129, 62, 134)(31, 103, 55, 127, 52, 124)(37, 109, 39, 111, 58, 130)(43, 115, 72, 144, 71, 143)(45, 117, 61, 133, 63, 135)(47, 119, 67, 139, 65, 137)(48, 120, 64, 136, 68, 140)(50, 122, 66, 138, 60, 132)(56, 128, 69, 141, 70, 142)(145, 217, 147, 219, 157, 229, 179, 251, 169, 241, 150, 222)(146, 218, 152, 224, 174, 246, 159, 231, 180, 252, 154, 226)(148, 220, 162, 234, 187, 259, 175, 247, 200, 272, 164, 236)(149, 221, 165, 237, 188, 260, 167, 239, 185, 257, 156, 228)(151, 223, 172, 244, 189, 261, 193, 265, 204, 276, 173, 245)(153, 225, 177, 249, 207, 279, 201, 273, 210, 282, 178, 250)(155, 227, 183, 255, 208, 280, 203, 275, 211, 283, 184, 256)(158, 230, 191, 263, 202, 274, 166, 238, 168, 240, 192, 264)(160, 232, 171, 243, 206, 278, 205, 277, 170, 242, 194, 266)(161, 233, 195, 267, 216, 288, 198, 270, 213, 285, 196, 268)(163, 235, 199, 271, 215, 287, 186, 258, 214, 286, 197, 269)(176, 248, 182, 254, 190, 262, 212, 284, 181, 253, 209, 281)
	L = (1, 148)(2, 153)(3, 158)(4, 151)(5, 166)(6, 168)(7, 145)(8, 175)(9, 155)(10, 162)(11, 146)(12, 177)(13, 187)(14, 160)(15, 164)(16, 147)(17, 149)(18, 181)(19, 182)(20, 190)(21, 201)(22, 161)(23, 178)(24, 170)(25, 200)(26, 150)(27, 163)(28, 203)(29, 183)(30, 207)(31, 176)(32, 152)(33, 186)(34, 199)(35, 202)(36, 210)(37, 154)(38, 171)(39, 198)(40, 195)(41, 191)(42, 156)(43, 189)(44, 192)(45, 157)(46, 159)(47, 213)(48, 216)(49, 184)(50, 214)(51, 193)(52, 172)(53, 165)(54, 173)(55, 167)(56, 204)(57, 197)(58, 206)(59, 196)(60, 169)(61, 215)(62, 179)(63, 208)(64, 174)(65, 194)(66, 211)(67, 180)(68, 205)(69, 185)(70, 209)(71, 212)(72, 188)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.1774
Graph:: simple bipartite
	v = 36 e = 144 f = 54
	degree seq :: [ 6^24, 12^12 ]

E28.1788 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (C3 x A4) : C2 (small group id <72, 43>)
Aut   = C2 x ((C3 x A4) : C2) (small group id <144, 189>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^3, (Y2^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3)^2, (Y1 * Y3 * Y2 * Y3)^2, (Y2^-1 * Y3)^4, (Y2 * Y1 * Y3)^3, Y2^-1 * Y1 * Y3 * Y1 * Y2 * Y3 * Y2^-1 * Y1 * Y3, (Y3 * Y1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 8, 80)(4, 76, 10, 82)(5, 77, 6, 78)(7, 79, 15, 87)(9, 81, 19, 91)(11, 83, 24, 96)(12, 84, 22, 94)(13, 85, 27, 99)(14, 86, 30, 102)(16, 88, 35, 107)(17, 89, 33, 105)(18, 90, 38, 110)(20, 92, 43, 115)(21, 93, 41, 113)(23, 95, 47, 119)(25, 97, 37, 109)(26, 98, 36, 108)(28, 100, 54, 126)(29, 101, 53, 125)(31, 103, 57, 129)(32, 104, 46, 118)(34, 106, 60, 132)(39, 111, 49, 121)(40, 112, 65, 137)(42, 114, 67, 139)(44, 116, 62, 134)(45, 117, 66, 138)(48, 120, 70, 142)(50, 122, 58, 130)(51, 123, 64, 136)(52, 124, 63, 135)(55, 127, 59, 131)(56, 128, 72, 144)(61, 133, 71, 143)(68, 140, 69, 141)(145, 217, 147, 219, 149, 221)(146, 218, 150, 222, 152, 224)(148, 220, 155, 227, 156, 228)(151, 223, 160, 232, 161, 233)(153, 225, 164, 236, 165, 237)(154, 226, 166, 238, 168, 240)(157, 229, 172, 244, 173, 245)(158, 230, 175, 247, 176, 248)(159, 231, 177, 249, 179, 251)(162, 234, 183, 255, 184, 256)(163, 235, 185, 257, 187, 259)(167, 239, 192, 264, 186, 258)(169, 241, 194, 266, 195, 267)(170, 242, 196, 268, 188, 260)(171, 243, 197, 269, 198, 270)(174, 246, 190, 262, 201, 273)(178, 250, 205, 277, 200, 272)(180, 252, 206, 278, 207, 279)(181, 253, 208, 280, 202, 274)(182, 254, 209, 281, 193, 265)(189, 261, 212, 284, 199, 271)(191, 263, 211, 283, 214, 286)(203, 275, 213, 285, 210, 282)(204, 276, 216, 288, 215, 287)
	L = (1, 148)(2, 151)(3, 153)(4, 145)(5, 157)(6, 158)(7, 146)(8, 162)(9, 147)(10, 167)(11, 169)(12, 170)(13, 149)(14, 150)(15, 178)(16, 180)(17, 181)(18, 152)(19, 186)(20, 188)(21, 189)(22, 190)(23, 154)(24, 193)(25, 155)(26, 156)(27, 192)(28, 199)(29, 194)(30, 200)(31, 202)(32, 203)(33, 185)(34, 159)(35, 198)(36, 160)(37, 161)(38, 205)(39, 210)(40, 206)(41, 177)(42, 163)(43, 201)(44, 164)(45, 165)(46, 166)(47, 213)(48, 171)(49, 168)(50, 173)(51, 215)(52, 216)(53, 209)(54, 179)(55, 172)(56, 174)(57, 187)(58, 175)(59, 176)(60, 212)(61, 182)(62, 184)(63, 214)(64, 211)(65, 197)(66, 183)(67, 208)(68, 204)(69, 191)(70, 207)(71, 195)(72, 196)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1791
Graph:: simple bipartite
	v = 60 e = 144 f = 30
	degree seq :: [ 4^36, 6^24 ]

E28.1789 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (C3 x A4) : C2 (small group id <72, 43>)
Aut   = C2 x ((C3 x A4) : C2) (small group id <144, 189>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^-2 * Y3^2, (Y2 * Y1^-1)^2, (Y1 * R)^2, Y2^-1 * Y3^-2 * Y2^-1, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (Y3^-1 * Y2^-1)^3, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3 * Y2 * Y1^-1 * Y2^-1, Y3^-2 * Y1 * Y3 * Y1^-1 * Y3 * Y1, Y1^-1 * Y3^-1 * Y2 * Y3 * Y2^-1 * Y1 * Y3^-1 * Y2^-1, (Y3^-1 * Y2)^6 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 12, 84, 10, 82)(4, 76, 16, 88, 18, 90)(6, 78, 20, 92, 23, 95)(7, 79, 24, 96, 9, 81)(8, 80, 25, 97, 22, 94)(11, 83, 31, 103, 21, 93)(13, 85, 36, 108, 34, 106)(14, 86, 27, 99, 38, 110)(15, 87, 40, 112, 33, 105)(17, 89, 29, 101, 42, 114)(19, 91, 44, 116, 47, 119)(26, 98, 32, 104, 53, 125)(28, 100, 35, 107, 52, 124)(30, 102, 50, 122, 57, 129)(37, 109, 61, 133, 56, 128)(39, 111, 65, 137, 67, 139)(41, 113, 58, 130, 46, 118)(43, 115, 51, 123, 45, 117)(48, 120, 54, 126, 49, 121)(55, 127, 71, 143, 66, 138)(59, 131, 63, 135, 69, 141)(60, 132, 64, 136, 70, 142)(62, 134, 68, 140, 72, 144)(145, 217, 147, 219, 157, 229, 150, 222)(146, 218, 152, 224, 170, 242, 154, 226)(148, 220, 161, 233, 151, 223, 163, 235)(149, 221, 164, 236, 187, 259, 166, 238)(153, 225, 173, 245, 155, 227, 174, 246)(156, 228, 176, 248, 203, 275, 178, 250)(158, 230, 181, 253, 159, 231, 183, 255)(160, 232, 185, 257, 165, 237, 186, 258)(162, 234, 188, 260, 208, 280, 190, 262)(167, 239, 180, 252, 207, 279, 189, 261)(168, 240, 194, 266, 204, 276, 191, 263)(169, 241, 195, 267, 213, 285, 197, 269)(171, 243, 199, 271, 172, 244, 200, 272)(175, 247, 202, 274, 214, 286, 201, 273)(177, 249, 205, 277, 179, 251, 206, 278)(182, 254, 209, 281, 192, 264, 210, 282)(184, 256, 212, 284, 193, 265, 211, 283)(196, 268, 215, 287, 198, 270, 216, 288)
	L = (1, 148)(2, 153)(3, 158)(4, 157)(5, 165)(6, 159)(7, 145)(8, 171)(9, 170)(10, 172)(11, 146)(12, 177)(13, 151)(14, 150)(15, 147)(16, 149)(17, 183)(18, 189)(19, 181)(20, 182)(21, 187)(22, 192)(23, 193)(24, 178)(25, 196)(26, 155)(27, 154)(28, 152)(29, 200)(30, 199)(31, 197)(32, 168)(33, 203)(34, 204)(35, 156)(36, 162)(37, 161)(38, 166)(39, 163)(40, 167)(41, 209)(42, 210)(43, 160)(44, 211)(45, 208)(46, 212)(47, 206)(48, 164)(49, 207)(50, 205)(51, 175)(52, 213)(53, 214)(54, 169)(55, 173)(56, 174)(57, 216)(58, 215)(59, 179)(60, 176)(61, 191)(62, 194)(63, 184)(64, 180)(65, 186)(66, 185)(67, 190)(68, 188)(69, 198)(70, 195)(71, 201)(72, 202)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1790
Graph:: simple bipartite
	v = 42 e = 144 f = 48
	degree seq :: [ 6^24, 8^18 ]

E28.1790 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (C3 x A4) : C2 (small group id <72, 43>)
Aut   = C2 x ((C3 x A4) : C2) (small group id <144, 189>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3^-1 * R)^2, Y1 * Y3 * Y1 * Y3^-1, (R * Y1)^2, Y3^4, (R * Y3)^2, Y3^-1 * Y1 * Y3^-1 * Y1^-2, Y1^-1 * Y3^2 * Y1^-2, Y1^-1 * R * Y3 * Y1 * R * Y3, (Y3 * Y2)^3, (R * Y2 * Y3^-1)^2, (Y2 * Y1^2)^2, Y2 * Y3 * R * Y3^-1 * Y2 * Y3 * Y2 * R, Y3^-1 * Y2 * Y1^-1 * Y3 * R * Y2 * Y1^-1 * R, (Y2 * Y3 * Y2 * Y1^-1)^2, (Y2 * Y3^-1 * Y2 * Y1^-1)^2, (Y3^-1 * Y2 * Y3^-1 * Y1^-1)^2, Y2 * R * Y2 * Y1^-1 * R * Y2 * Y3^-1 * Y1^-1, (Y2 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 7, 79, 17, 89, 19, 91, 5, 77)(3, 75, 11, 83, 29, 101, 35, 107, 22, 94, 13, 85)(4, 76, 15, 87, 10, 82, 6, 78, 20, 92, 9, 81)(8, 80, 23, 95, 18, 90, 44, 116, 43, 115, 25, 97)(12, 84, 33, 105, 32, 104, 14, 86, 37, 109, 31, 103)(16, 88, 40, 112, 47, 119, 60, 132, 28, 100, 41, 113)(21, 93, 48, 120, 39, 111, 57, 129, 27, 99, 50, 122)(24, 96, 46, 118, 53, 125, 26, 98, 45, 117, 52, 124)(30, 102, 51, 123, 36, 108, 55, 127, 67, 139, 62, 134)(34, 106, 66, 138, 58, 130, 49, 121, 65, 137, 56, 128)(38, 110, 70, 142, 59, 131, 42, 114, 64, 136, 54, 126)(61, 133, 69, 141, 72, 144, 63, 135, 68, 140, 71, 143)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 160, 232)(149, 221, 162, 234)(150, 222, 165, 237)(151, 223, 166, 238)(153, 225, 171, 243)(154, 226, 172, 244)(155, 227, 174, 246)(156, 228, 178, 250)(157, 229, 180, 252)(158, 230, 182, 254)(159, 231, 183, 255)(161, 233, 187, 259)(163, 235, 173, 245)(164, 236, 191, 263)(167, 239, 195, 267)(168, 240, 198, 270)(169, 241, 199, 271)(170, 242, 200, 272)(175, 247, 208, 280)(176, 248, 209, 281)(177, 249, 203, 275)(179, 251, 211, 283)(181, 253, 202, 274)(184, 256, 213, 285)(185, 257, 207, 279)(186, 258, 197, 269)(188, 260, 206, 278)(189, 261, 214, 286)(190, 262, 210, 282)(192, 264, 212, 284)(193, 265, 196, 268)(194, 266, 205, 277)(201, 273, 216, 288)(204, 276, 215, 287)
	L = (1, 148)(2, 153)(3, 156)(4, 161)(5, 159)(6, 145)(7, 164)(8, 168)(9, 163)(10, 146)(11, 175)(12, 179)(13, 177)(14, 147)(15, 151)(16, 182)(17, 150)(18, 189)(19, 154)(20, 149)(21, 193)(22, 176)(23, 196)(24, 188)(25, 190)(26, 152)(27, 200)(28, 203)(29, 181)(30, 205)(31, 166)(32, 155)(33, 173)(34, 165)(35, 158)(36, 212)(37, 157)(38, 204)(39, 210)(40, 198)(41, 214)(42, 160)(43, 197)(44, 170)(45, 169)(46, 162)(47, 208)(48, 202)(49, 201)(50, 209)(51, 215)(52, 187)(53, 167)(54, 172)(55, 207)(56, 192)(57, 178)(58, 171)(59, 184)(60, 186)(61, 199)(62, 213)(63, 174)(64, 185)(65, 183)(66, 194)(67, 216)(68, 206)(69, 180)(70, 191)(71, 211)(72, 195)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.1789
Graph:: simple bipartite
	v = 48 e = 144 f = 42
	degree seq :: [ 4^36, 12^12 ]

E28.1791 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 6})
Quotient :: dipole
Aut^+ = (C3 x A4) : C2 (small group id <72, 43>)
Aut   = C2 x ((C3 x A4) : C2) (small group id <144, 189>)
|r| :: 2
Presentation :: [ Y3^2, R^2, R * Y2 * R * Y2^-1, Y1^4, (R * Y3)^2, (Y2^-1 * Y1^-1)^2, (R * Y1)^2, (Y2 * Y1^-1)^2, (Y2^-1 * Y3)^2, (Y3 * Y1)^3, Y2^6, Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y1^-1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 7, 79, 5, 77)(3, 75, 11, 83, 20, 92, 10, 82)(4, 76, 14, 86, 35, 107, 16, 88)(6, 78, 17, 89, 22, 94, 8, 80)(9, 81, 25, 97, 53, 125, 27, 99)(12, 84, 28, 100, 43, 115, 30, 102)(13, 85, 33, 105, 64, 136, 34, 106)(15, 87, 38, 110, 65, 137, 37, 109)(18, 90, 42, 114, 68, 140, 36, 108)(19, 91, 23, 95, 48, 120, 40, 112)(21, 93, 45, 117, 61, 133, 47, 119)(24, 96, 51, 123, 58, 130, 52, 124)(26, 98, 55, 127, 71, 143, 54, 126)(29, 101, 57, 129, 50, 122, 59, 131)(31, 103, 60, 132, 66, 138, 49, 121)(32, 104, 62, 134, 46, 118, 63, 135)(39, 111, 69, 141, 44, 116, 70, 142)(41, 113, 67, 139, 56, 128, 72, 144)(145, 217, 147, 219, 156, 228, 175, 247, 163, 235, 150, 222)(146, 218, 152, 224, 167, 239, 193, 265, 172, 244, 154, 226)(148, 220, 159, 231, 183, 255, 205, 277, 176, 248, 157, 229)(149, 221, 161, 233, 184, 256, 204, 276, 174, 246, 155, 227)(151, 223, 164, 236, 187, 259, 210, 282, 192, 264, 166, 238)(153, 225, 170, 242, 200, 272, 212, 284, 194, 266, 168, 240)(158, 230, 178, 250, 206, 278, 189, 261, 213, 285, 181, 253)(160, 232, 177, 249, 207, 279, 191, 263, 214, 286, 182, 254)(162, 234, 173, 245, 202, 274, 197, 269, 215, 287, 185, 257)(165, 237, 190, 262, 208, 280, 179, 251, 209, 281, 188, 260)(169, 241, 196, 268, 203, 275, 186, 258, 216, 288, 198, 270)(171, 243, 195, 267, 201, 273, 180, 252, 211, 283, 199, 271)
	L = (1, 148)(2, 153)(3, 157)(4, 145)(5, 162)(6, 159)(7, 165)(8, 168)(9, 146)(10, 170)(11, 173)(12, 176)(13, 147)(14, 180)(15, 150)(16, 169)(17, 185)(18, 149)(19, 183)(20, 188)(21, 151)(22, 190)(23, 194)(24, 152)(25, 160)(26, 154)(27, 189)(28, 200)(29, 155)(30, 202)(31, 205)(32, 156)(33, 198)(34, 201)(35, 210)(36, 158)(37, 211)(38, 196)(39, 163)(40, 215)(41, 161)(42, 191)(43, 209)(44, 164)(45, 171)(46, 166)(47, 186)(48, 208)(49, 212)(50, 167)(51, 206)(52, 182)(53, 204)(54, 177)(55, 213)(56, 172)(57, 178)(58, 174)(59, 214)(60, 197)(61, 175)(62, 195)(63, 216)(64, 192)(65, 187)(66, 179)(67, 181)(68, 193)(69, 199)(70, 203)(71, 184)(72, 207)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.1788
Graph:: simple bipartite
	v = 30 e = 144 f = 60
	degree seq :: [ 8^18, 12^12 ]

E28.1792 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: edge^2
Aut^+ = (C3 x C3) : C8 (small group id <72, 39>)
Aut   = C2 x ((C3 x C3) : C8) (small group id <144, 185>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, R * Y2 * R * Y1, (R * Y3)^2, Y1^8, Y2^8, Y2 * Y3 * Y1^3 * Y3 * Y2^-2 * Y3, Y2^3 * Y3 * Y1 * Y3 * Y1^-2 * Y3, Y2^2 * Y3 * Y2 * Y1^-2 * Y3 * Y2^-1 * Y3, Y1 * Y3 * Y2 * Y3 * Y1 * Y2^-2 * Y3 * Y2^-1, Y2^2 * Y3 * Y2^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-1, Y1 * Y3 * Y2^2 * Y3 * Y1^-3 * Y3, Y3 * Y2 * Y3 * Y1^-2 * Y3 * Y1^2 * Y3 * Y2^-1, Y2^2 * Y3 * Y2^-2 * Y3 * Y1 * Y3 * Y1^-1 * Y3, Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y3 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 73, 4, 76)(2, 74, 6, 78)(3, 75, 8, 80)(5, 77, 12, 84)(7, 79, 16, 88)(9, 81, 20, 92)(10, 82, 22, 94)(11, 83, 24, 96)(13, 85, 28, 100)(14, 86, 30, 102)(15, 87, 31, 103)(17, 89, 35, 107)(18, 90, 37, 109)(19, 91, 39, 111)(21, 93, 43, 115)(23, 95, 46, 118)(25, 97, 48, 120)(26, 98, 42, 114)(27, 99, 32, 104)(29, 101, 38, 110)(33, 105, 57, 129)(34, 106, 52, 124)(36, 108, 59, 131)(40, 112, 64, 136)(41, 113, 56, 128)(44, 116, 65, 137)(45, 117, 66, 138)(47, 119, 53, 125)(49, 121, 50, 122)(51, 123, 60, 132)(54, 126, 63, 135)(55, 127, 72, 144)(58, 130, 68, 140)(61, 133, 70, 142)(62, 134, 71, 143)(67, 139, 69, 141)(145, 146, 149, 155, 167, 159, 151, 147)(148, 153, 163, 182, 206, 186, 165, 154)(150, 157, 171, 194, 214, 197, 173, 158)(152, 161, 178, 187, 198, 174, 180, 162)(156, 169, 179, 202, 210, 213, 193, 170)(160, 176, 200, 203, 189, 166, 188, 177)(164, 184, 207, 216, 212, 191, 168, 185)(172, 195, 215, 201, 208, 211, 190, 196)(175, 183, 192, 209, 205, 181, 204, 199)(217, 219, 223, 231, 239, 227, 221, 218)(220, 226, 237, 258, 278, 254, 235, 225)(222, 230, 245, 269, 286, 266, 243, 229)(224, 234, 252, 246, 270, 259, 250, 233)(228, 242, 265, 285, 282, 274, 251, 241)(232, 249, 260, 238, 261, 275, 272, 248)(236, 257, 240, 263, 284, 288, 279, 256)(244, 268, 262, 283, 280, 273, 287, 267)(247, 271, 276, 253, 277, 281, 264, 255)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E28.1795
Graph:: simple bipartite
	v = 54 e = 144 f = 36
	degree seq :: [ 4^36, 8^18 ]

E28.1793 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 8})
Quotient :: edge^2
Aut^+ = (C3 x C3) : C8 (small group id <72, 39>)
Aut   = C2 x ((C3 x C3) : C8) (small group id <144, 185>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y2^8, Y1^4 * Y2^-4, Y2^2 * Y3 * Y1^-1 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1, Y2 * Y3 * Y1^2 * Y3 * Y2^-3 * Y3, Y1 * Y3 * Y2^3 * Y3 * Y1^-2 * Y3, Y2^2 * Y3 * Y1 * Y3 * Y1^-3 * Y3, Y1 * Y3 * Y1^2 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1, Y1^2 * Y3 * Y1 * Y2^-2 * Y3 * Y1^-1 * Y3, Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1 * Y3 * Y2, Y1 * Y3 * Y1 * Y2^-1 * Y3 * Y2^2 * Y3 * Y1^-1 * Y3, Y1^2 * Y3 * Y1^-2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 73, 4, 76)(2, 74, 6, 78)(3, 75, 8, 80)(5, 77, 12, 84)(7, 79, 16, 88)(9, 81, 20, 92)(10, 82, 22, 94)(11, 83, 24, 96)(13, 85, 28, 100)(14, 86, 30, 102)(15, 87, 31, 103)(17, 89, 35, 107)(18, 90, 37, 109)(19, 91, 39, 111)(21, 93, 43, 115)(23, 95, 46, 118)(25, 97, 48, 120)(26, 98, 36, 108)(27, 99, 50, 122)(29, 101, 53, 125)(32, 104, 38, 110)(33, 105, 57, 129)(34, 106, 42, 114)(40, 112, 63, 135)(41, 113, 64, 136)(44, 116, 49, 121)(45, 117, 66, 138)(47, 119, 68, 140)(51, 123, 70, 142)(52, 124, 61, 133)(54, 126, 71, 143)(55, 127, 58, 130)(56, 128, 60, 132)(59, 131, 65, 137)(62, 134, 69, 141)(67, 139, 72, 144)(145, 146, 149, 155, 167, 159, 151, 147)(148, 153, 163, 182, 206, 186, 165, 154)(150, 157, 171, 179, 203, 183, 173, 158)(152, 161, 178, 202, 214, 204, 180, 162)(156, 169, 185, 164, 184, 194, 193, 170)(160, 176, 200, 216, 207, 198, 174, 177)(166, 188, 175, 199, 215, 212, 209, 189)(168, 191, 196, 172, 195, 208, 201, 187)(181, 197, 190, 211, 210, 192, 213, 205)(217, 219, 223, 231, 239, 227, 221, 218)(220, 226, 237, 258, 278, 254, 235, 225)(222, 230, 245, 255, 275, 251, 243, 229)(224, 234, 252, 276, 286, 274, 250, 233)(228, 242, 265, 266, 256, 236, 257, 241)(232, 249, 246, 270, 279, 288, 272, 248)(238, 261, 281, 284, 287, 271, 247, 260)(240, 259, 273, 280, 267, 244, 268, 263)(253, 277, 285, 264, 282, 283, 262, 269)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8^4 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E28.1794
Graph:: simple bipartite
	v = 54 e = 144 f = 36
	degree seq :: [ 4^36, 8^18 ]

E28.1794 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 8})
Quotient :: loop^2
Aut^+ = (C3 x C3) : C8 (small group id <72, 39>)
Aut   = C2 x ((C3 x C3) : C8) (small group id <144, 185>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, R * Y2 * R * Y1, (R * Y3)^2, Y1^8, Y2^8, Y2 * Y3 * Y1^3 * Y3 * Y2^-2 * Y3, Y2^3 * Y3 * Y1 * Y3 * Y1^-2 * Y3, Y2^2 * Y3 * Y2 * Y1^-2 * Y3 * Y2^-1 * Y3, Y1 * Y3 * Y2 * Y3 * Y1 * Y2^-2 * Y3 * Y2^-1, Y2^2 * Y3 * Y2^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-1, Y1 * Y3 * Y2^2 * Y3 * Y1^-3 * Y3, Y3 * Y2 * Y3 * Y1^-2 * Y3 * Y1^2 * Y3 * Y2^-1, Y2^2 * Y3 * Y2^-2 * Y3 * Y1 * Y3 * Y1^-1 * Y3, Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y3 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 73, 145, 217, 4, 76, 148, 220)(2, 74, 146, 218, 6, 78, 150, 222)(3, 75, 147, 219, 8, 80, 152, 224)(5, 77, 149, 221, 12, 84, 156, 228)(7, 79, 151, 223, 16, 88, 160, 232)(9, 81, 153, 225, 20, 92, 164, 236)(10, 82, 154, 226, 22, 94, 166, 238)(11, 83, 155, 227, 24, 96, 168, 240)(13, 85, 157, 229, 28, 100, 172, 244)(14, 86, 158, 230, 30, 102, 174, 246)(15, 87, 159, 231, 31, 103, 175, 247)(17, 89, 161, 233, 35, 107, 179, 251)(18, 90, 162, 234, 37, 109, 181, 253)(19, 91, 163, 235, 39, 111, 183, 255)(21, 93, 165, 237, 43, 115, 187, 259)(23, 95, 167, 239, 46, 118, 190, 262)(25, 97, 169, 241, 48, 120, 192, 264)(26, 98, 170, 242, 42, 114, 186, 258)(27, 99, 171, 243, 32, 104, 176, 248)(29, 101, 173, 245, 38, 110, 182, 254)(33, 105, 177, 249, 57, 129, 201, 273)(34, 106, 178, 250, 52, 124, 196, 268)(36, 108, 180, 252, 59, 131, 203, 275)(40, 112, 184, 256, 64, 136, 208, 280)(41, 113, 185, 257, 56, 128, 200, 272)(44, 116, 188, 260, 65, 137, 209, 281)(45, 117, 189, 261, 66, 138, 210, 282)(47, 119, 191, 263, 53, 125, 197, 269)(49, 121, 193, 265, 50, 122, 194, 266)(51, 123, 195, 267, 60, 132, 204, 276)(54, 126, 198, 270, 63, 135, 207, 279)(55, 127, 199, 271, 72, 144, 216, 288)(58, 130, 202, 274, 68, 140, 212, 284)(61, 133, 205, 277, 70, 142, 214, 286)(62, 134, 206, 278, 71, 143, 215, 287)(67, 139, 211, 283, 69, 141, 213, 285)
	L = (1, 74)(2, 77)(3, 73)(4, 81)(5, 83)(6, 85)(7, 75)(8, 89)(9, 91)(10, 76)(11, 95)(12, 97)(13, 99)(14, 78)(15, 79)(16, 104)(17, 106)(18, 80)(19, 110)(20, 112)(21, 82)(22, 116)(23, 87)(24, 113)(25, 107)(26, 84)(27, 122)(28, 123)(29, 86)(30, 108)(31, 111)(32, 128)(33, 88)(34, 115)(35, 130)(36, 90)(37, 132)(38, 134)(39, 120)(40, 135)(41, 92)(42, 93)(43, 126)(44, 105)(45, 94)(46, 124)(47, 96)(48, 137)(49, 98)(50, 142)(51, 143)(52, 100)(53, 101)(54, 102)(55, 103)(56, 131)(57, 136)(58, 138)(59, 117)(60, 127)(61, 109)(62, 114)(63, 144)(64, 139)(65, 133)(66, 141)(67, 118)(68, 119)(69, 121)(70, 125)(71, 129)(72, 140)(145, 219)(146, 217)(147, 223)(148, 226)(149, 218)(150, 230)(151, 231)(152, 234)(153, 220)(154, 237)(155, 221)(156, 242)(157, 222)(158, 245)(159, 239)(160, 249)(161, 224)(162, 252)(163, 225)(164, 257)(165, 258)(166, 261)(167, 227)(168, 263)(169, 228)(170, 265)(171, 229)(172, 268)(173, 269)(174, 270)(175, 271)(176, 232)(177, 260)(178, 233)(179, 241)(180, 246)(181, 277)(182, 235)(183, 247)(184, 236)(185, 240)(186, 278)(187, 250)(188, 238)(189, 275)(190, 283)(191, 284)(192, 255)(193, 285)(194, 243)(195, 244)(196, 262)(197, 286)(198, 259)(199, 276)(200, 248)(201, 287)(202, 251)(203, 272)(204, 253)(205, 281)(206, 254)(207, 256)(208, 273)(209, 264)(210, 274)(211, 280)(212, 288)(213, 282)(214, 266)(215, 267)(216, 279)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.1793
Transitivity :: VT+
Graph:: bipartite
	v = 36 e = 144 f = 54
	degree seq :: [ 8^36 ]

E28.1795 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 8})
Quotient :: loop^2
Aut^+ = (C3 x C3) : C8 (small group id <72, 39>)
Aut   = C2 x ((C3 x C3) : C8) (small group id <144, 185>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y2^8, Y1^4 * Y2^-4, Y2^2 * Y3 * Y1^-1 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1, Y2 * Y3 * Y1^2 * Y3 * Y2^-3 * Y3, Y1 * Y3 * Y2^3 * Y3 * Y1^-2 * Y3, Y2^2 * Y3 * Y1 * Y3 * Y1^-3 * Y3, Y1 * Y3 * Y1^2 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1, Y1^2 * Y3 * Y1 * Y2^-2 * Y3 * Y1^-1 * Y3, Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1 * Y3 * Y2, Y1 * Y3 * Y1 * Y2^-1 * Y3 * Y2^2 * Y3 * Y1^-1 * Y3, Y1^2 * Y3 * Y1^-2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 73, 145, 217, 4, 76, 148, 220)(2, 74, 146, 218, 6, 78, 150, 222)(3, 75, 147, 219, 8, 80, 152, 224)(5, 77, 149, 221, 12, 84, 156, 228)(7, 79, 151, 223, 16, 88, 160, 232)(9, 81, 153, 225, 20, 92, 164, 236)(10, 82, 154, 226, 22, 94, 166, 238)(11, 83, 155, 227, 24, 96, 168, 240)(13, 85, 157, 229, 28, 100, 172, 244)(14, 86, 158, 230, 30, 102, 174, 246)(15, 87, 159, 231, 31, 103, 175, 247)(17, 89, 161, 233, 35, 107, 179, 251)(18, 90, 162, 234, 37, 109, 181, 253)(19, 91, 163, 235, 39, 111, 183, 255)(21, 93, 165, 237, 43, 115, 187, 259)(23, 95, 167, 239, 46, 118, 190, 262)(25, 97, 169, 241, 48, 120, 192, 264)(26, 98, 170, 242, 36, 108, 180, 252)(27, 99, 171, 243, 50, 122, 194, 266)(29, 101, 173, 245, 53, 125, 197, 269)(32, 104, 176, 248, 38, 110, 182, 254)(33, 105, 177, 249, 57, 129, 201, 273)(34, 106, 178, 250, 42, 114, 186, 258)(40, 112, 184, 256, 63, 135, 207, 279)(41, 113, 185, 257, 64, 136, 208, 280)(44, 116, 188, 260, 49, 121, 193, 265)(45, 117, 189, 261, 66, 138, 210, 282)(47, 119, 191, 263, 68, 140, 212, 284)(51, 123, 195, 267, 70, 142, 214, 286)(52, 124, 196, 268, 61, 133, 205, 277)(54, 126, 198, 270, 71, 143, 215, 287)(55, 127, 199, 271, 58, 130, 202, 274)(56, 128, 200, 272, 60, 132, 204, 276)(59, 131, 203, 275, 65, 137, 209, 281)(62, 134, 206, 278, 69, 141, 213, 285)(67, 139, 211, 283, 72, 144, 216, 288)
	L = (1, 74)(2, 77)(3, 73)(4, 81)(5, 83)(6, 85)(7, 75)(8, 89)(9, 91)(10, 76)(11, 95)(12, 97)(13, 99)(14, 78)(15, 79)(16, 104)(17, 106)(18, 80)(19, 110)(20, 112)(21, 82)(22, 116)(23, 87)(24, 119)(25, 113)(26, 84)(27, 107)(28, 123)(29, 86)(30, 105)(31, 127)(32, 128)(33, 88)(34, 130)(35, 131)(36, 90)(37, 125)(38, 134)(39, 101)(40, 122)(41, 92)(42, 93)(43, 96)(44, 103)(45, 94)(46, 139)(47, 124)(48, 141)(49, 98)(50, 121)(51, 136)(52, 100)(53, 118)(54, 102)(55, 143)(56, 144)(57, 115)(58, 142)(59, 111)(60, 108)(61, 109)(62, 114)(63, 126)(64, 129)(65, 117)(66, 120)(67, 138)(68, 137)(69, 133)(70, 132)(71, 140)(72, 135)(145, 219)(146, 217)(147, 223)(148, 226)(149, 218)(150, 230)(151, 231)(152, 234)(153, 220)(154, 237)(155, 221)(156, 242)(157, 222)(158, 245)(159, 239)(160, 249)(161, 224)(162, 252)(163, 225)(164, 257)(165, 258)(166, 261)(167, 227)(168, 259)(169, 228)(170, 265)(171, 229)(172, 268)(173, 255)(174, 270)(175, 260)(176, 232)(177, 246)(178, 233)(179, 243)(180, 276)(181, 277)(182, 235)(183, 275)(184, 236)(185, 241)(186, 278)(187, 273)(188, 238)(189, 281)(190, 269)(191, 240)(192, 282)(193, 266)(194, 256)(195, 244)(196, 263)(197, 253)(198, 279)(199, 247)(200, 248)(201, 280)(202, 250)(203, 251)(204, 286)(205, 285)(206, 254)(207, 288)(208, 267)(209, 284)(210, 283)(211, 262)(212, 287)(213, 264)(214, 274)(215, 271)(216, 272)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.1792
Transitivity :: VT+
Graph:: bipartite
	v = 36 e = 144 f = 54
	degree seq :: [ 8^36 ]

E28.1796 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 12})
Quotient :: dipole
Aut^+ = C3 x SL(2,3) (small group id <72, 25>)
Aut   = (C3 x SL(2,3)) : C2 (small group id <144, 125>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y2 * Y1 * Y2^-1 * Y1, Y1 * Y3 * Y1 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^2 * Y2 * Y3^-2, (Y3 * Y2^-1)^3, Y1 * Y3^6, Y2 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 7, 79)(4, 76, 8, 80)(5, 77, 9, 81)(6, 78, 10, 82)(11, 83, 21, 93)(12, 84, 22, 94)(13, 85, 23, 95)(14, 86, 24, 96)(15, 87, 25, 97)(16, 88, 26, 98)(17, 89, 27, 99)(18, 90, 28, 100)(19, 91, 29, 101)(20, 92, 30, 102)(31, 103, 47, 119)(32, 104, 49, 121)(33, 105, 50, 122)(34, 106, 51, 123)(35, 107, 52, 124)(36, 108, 53, 125)(37, 109, 45, 117)(38, 110, 54, 126)(39, 111, 48, 120)(40, 112, 55, 127)(41, 113, 56, 128)(42, 114, 57, 129)(43, 115, 58, 130)(44, 116, 59, 131)(46, 118, 60, 132)(61, 133, 72, 144)(62, 134, 64, 136)(63, 135, 67, 139)(65, 137, 70, 142)(66, 138, 71, 143)(68, 140, 69, 141)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 157, 229, 159, 231)(150, 222, 162, 234, 163, 235)(152, 224, 167, 239, 169, 241)(154, 226, 172, 244, 173, 245)(155, 227, 175, 247, 177, 249)(156, 228, 178, 250, 179, 251)(158, 230, 176, 248, 184, 256)(160, 232, 186, 258, 187, 259)(161, 233, 188, 260, 189, 261)(164, 236, 180, 252, 190, 262)(165, 237, 191, 263, 194, 266)(166, 238, 195, 267, 196, 268)(168, 240, 193, 265, 199, 271)(170, 242, 201, 273, 202, 274)(171, 243, 203, 275, 181, 253)(174, 246, 197, 269, 204, 276)(182, 254, 210, 282, 211, 283)(183, 255, 209, 281, 205, 277)(185, 257, 212, 284, 208, 280)(192, 264, 214, 286, 216, 288)(198, 270, 215, 287, 207, 279)(200, 272, 213, 285, 206, 278)
	L = (1, 148)(2, 152)(3, 155)(4, 158)(5, 160)(6, 145)(7, 165)(8, 168)(9, 170)(10, 146)(11, 176)(12, 147)(13, 181)(14, 183)(15, 178)(16, 184)(17, 149)(18, 182)(19, 185)(20, 150)(21, 193)(22, 151)(23, 189)(24, 192)(25, 195)(26, 199)(27, 153)(28, 198)(29, 200)(30, 154)(31, 173)(32, 206)(33, 188)(34, 205)(35, 207)(36, 156)(37, 209)(38, 157)(39, 174)(40, 210)(41, 159)(42, 196)(43, 162)(44, 213)(45, 214)(46, 161)(47, 163)(48, 164)(49, 208)(50, 203)(51, 216)(52, 211)(53, 166)(54, 167)(55, 215)(56, 169)(57, 179)(58, 172)(59, 212)(60, 171)(61, 175)(62, 197)(63, 177)(64, 180)(65, 202)(66, 204)(67, 194)(68, 201)(69, 186)(70, 187)(71, 190)(72, 191)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1797
Graph:: simple bipartite
	v = 60 e = 144 f = 30
	degree seq :: [ 4^36, 6^24 ]

E28.1797 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 12})
Quotient :: dipole
Aut^+ = C3 x SL(2,3) (small group id <72, 25>)
Aut   = (C3 x SL(2,3)) : C2 (small group id <144, 125>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y3 * Y2^-1)^2, (Y3, Y2^-1), (R * Y1)^2, Y2^2 * Y3^-2, (R * Y2)^2, (R * Y3)^2, Y3 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y1^-1 * Y3^-1 * Y2^-1 * Y1 * Y3, Y3 * Y1 * Y3^-2 * Y1^-1 * Y3, Y1 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1, (Y2 * Y1^-1)^3, Y3^-1 * Y2 * Y1 * Y2 * Y3^-1 * Y1^-1, Y3^-3 * Y2^-3, Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y1^-1 * Y2 * Y1 * Y3 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 12, 84, 15, 87)(4, 76, 17, 89, 18, 90)(6, 78, 23, 95, 24, 96)(7, 79, 27, 99, 28, 100)(8, 80, 29, 101, 32, 104)(9, 81, 34, 106, 35, 107)(10, 82, 36, 108, 37, 109)(11, 83, 40, 112, 41, 113)(13, 85, 30, 102, 48, 120)(14, 86, 31, 103, 49, 121)(16, 88, 33, 105, 52, 124)(19, 91, 53, 125, 54, 126)(20, 92, 55, 127, 56, 128)(21, 93, 57, 129, 43, 115)(22, 94, 60, 132, 42, 114)(25, 97, 38, 110, 58, 130)(26, 98, 39, 111, 59, 131)(44, 116, 69, 141, 66, 138)(45, 117, 70, 142, 65, 137)(46, 118, 67, 139, 61, 133)(47, 119, 68, 140, 62, 134)(50, 122, 71, 143, 64, 136)(51, 123, 72, 144, 63, 135)(145, 217, 147, 219, 157, 229, 190, 262, 170, 242, 151, 223, 160, 232, 148, 220, 158, 230, 191, 263, 169, 241, 150, 222)(146, 218, 152, 224, 174, 246, 207, 279, 183, 255, 155, 227, 177, 249, 153, 225, 175, 247, 208, 280, 182, 254, 154, 226)(149, 221, 163, 235, 192, 264, 213, 285, 203, 275, 166, 238, 196, 268, 164, 236, 193, 265, 214, 286, 202, 274, 165, 237)(156, 228, 186, 258, 211, 283, 200, 272, 171, 243, 189, 261, 161, 233, 187, 259, 212, 284, 198, 270, 167, 239, 188, 260)(159, 231, 180, 252, 205, 277, 173, 245, 172, 244, 195, 267, 162, 234, 184, 256, 206, 278, 178, 250, 168, 240, 194, 266)(176, 248, 201, 273, 216, 288, 197, 269, 185, 257, 210, 282, 179, 251, 204, 276, 215, 287, 199, 271, 181, 253, 209, 281)
	L = (1, 148)(2, 153)(3, 158)(4, 157)(5, 164)(6, 160)(7, 145)(8, 175)(9, 174)(10, 177)(11, 146)(12, 187)(13, 191)(14, 190)(15, 184)(16, 147)(17, 186)(18, 180)(19, 193)(20, 192)(21, 196)(22, 149)(23, 189)(24, 195)(25, 151)(26, 150)(27, 188)(28, 194)(29, 168)(30, 208)(31, 207)(32, 204)(33, 152)(34, 172)(35, 201)(36, 206)(37, 210)(38, 155)(39, 154)(40, 205)(41, 209)(42, 212)(43, 211)(44, 161)(45, 156)(46, 169)(47, 170)(48, 214)(49, 213)(50, 162)(51, 159)(52, 163)(53, 181)(54, 171)(55, 185)(56, 167)(57, 215)(58, 166)(59, 165)(60, 216)(61, 178)(62, 173)(63, 182)(64, 183)(65, 179)(66, 176)(67, 198)(68, 200)(69, 202)(70, 203)(71, 197)(72, 199)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.1796
Graph:: bipartite
	v = 30 e = 144 f = 60
	degree seq :: [ 6^24, 24^6 ]

E28.1798 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 3, 3, 12})
Quotient :: edge^2
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, Y2^-1 * Y3^2 * Y1^-1, Y2 * Y3^-1 * Y1^-1 * Y3, R * Y1 * R * Y2, (R * Y3)^2, (Y2 * Y1^-1)^3, (Y1^-1 * Y3^-1 * Y2^-1)^2, Y1 * Y2^-1 * Y3 * Y1^-1 * Y2 * Y3 * Y2, Y2 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 73, 4, 76, 12, 84, 30, 102, 57, 129, 68, 140, 63, 135, 70, 142, 71, 143, 53, 125, 20, 92, 7, 79)(2, 74, 9, 81, 26, 98, 48, 120, 66, 138, 72, 144, 69, 141, 43, 115, 56, 128, 24, 96, 6, 78, 11, 83)(3, 75, 13, 85, 22, 94, 31, 103, 58, 130, 61, 133, 28, 100, 59, 131, 52, 124, 25, 97, 41, 113, 15, 87)(5, 77, 18, 90, 46, 118, 16, 88, 36, 108, 65, 137, 55, 127, 62, 134, 64, 136, 34, 106, 10, 82, 21, 93)(8, 80, 27, 99, 32, 104, 49, 121, 67, 139, 39, 111, 50, 122, 44, 116, 23, 95, 35, 107, 60, 132, 29, 101)(14, 86, 40, 112, 33, 105, 38, 110, 54, 126, 51, 123, 19, 91, 45, 117, 47, 119, 17, 89, 37, 109, 42, 114)(145, 146, 149)(147, 156, 158)(148, 160, 161)(150, 166, 167)(151, 159, 168)(152, 170, 172)(153, 174, 175)(154, 176, 177)(155, 173, 178)(157, 182, 183)(162, 192, 193)(163, 190, 194)(164, 191, 196)(165, 195, 197)(169, 186, 171)(179, 205, 189)(180, 201, 210)(181, 199, 204)(184, 212, 206)(185, 211, 213)(187, 188, 209)(198, 202, 207)(200, 208, 215)(203, 216, 214)(217, 219, 222)(218, 224, 226)(220, 225, 234)(221, 235, 236)(223, 233, 241)(227, 247, 251)(228, 252, 253)(229, 246, 256)(230, 248, 257)(231, 255, 259)(232, 260, 261)(237, 265, 254)(238, 270, 266)(239, 271, 272)(240, 250, 269)(242, 273, 274)(243, 264, 275)(244, 263, 276)(245, 258, 278)(249, 279, 280)(262, 282, 283)(267, 277, 286)(268, 285, 287)(281, 284, 288)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8^3 ), ( 8^24 ) }
Outer automorphisms :: reflexible
Dual of E28.1804
Graph:: simple bipartite
	v = 54 e = 144 f = 36
	degree seq :: [ 3^48, 24^6 ]

E28.1799 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 3, 3, 12})
Quotient :: edge^2
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, Y3 * Y1 * Y3^-1 * Y2^-1, Y3^2 * Y1^-1 * Y2^-1, R * Y1 * R * Y2, (R * Y3)^2, (Y3 * Y1^-1)^2, Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y2^-1, (Y2 * Y1^-1)^3, Y3 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y1 * Y2, Y1 * Y2 * Y3^-1 * Y2 * Y1^-1 * Y2 * Y3, Y3^2 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y3^2 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 4, 76, 12, 84, 34, 106, 55, 127, 60, 132, 61, 133, 64, 136, 71, 143, 47, 119, 19, 91, 7, 79)(2, 74, 9, 81, 25, 97, 56, 128, 65, 137, 70, 142, 68, 140, 72, 144, 52, 124, 23, 95, 6, 78, 11, 83)(3, 75, 13, 85, 21, 93, 49, 121, 57, 129, 29, 101, 27, 99, 54, 126, 46, 118, 69, 141, 38, 110, 15, 87)(5, 77, 18, 90, 41, 113, 66, 138, 33, 105, 40, 112, 50, 122, 53, 125, 63, 135, 32, 104, 10, 82, 20, 92)(8, 80, 26, 98, 30, 102, 39, 111, 67, 139, 44, 116, 42, 114, 36, 108, 22, 94, 51, 123, 58, 130, 28, 100)(14, 86, 37, 109, 31, 103, 62, 134, 48, 120, 43, 115, 17, 89, 24, 96, 45, 117, 59, 131, 35, 107, 16, 88)(145, 146, 149)(147, 156, 158)(148, 157, 155)(150, 165, 166)(151, 162, 168)(152, 169, 171)(153, 170, 164)(154, 174, 175)(159, 181, 183)(160, 178, 184)(161, 185, 186)(163, 189, 190)(167, 195, 197)(172, 198, 203)(173, 200, 204)(176, 206, 208)(177, 199, 209)(179, 194, 202)(180, 193, 187)(182, 211, 212)(188, 210, 214)(191, 213, 216)(192, 201, 205)(196, 207, 215)(217, 219, 222)(218, 224, 226)(220, 232, 231)(221, 233, 235)(223, 227, 236)(225, 245, 244)(228, 249, 251)(229, 252, 239)(230, 246, 254)(234, 260, 259)(237, 264, 258)(238, 266, 268)(240, 270, 263)(241, 271, 273)(242, 253, 248)(243, 261, 274)(247, 277, 279)(250, 272, 282)(255, 286, 285)(256, 267, 275)(257, 281, 283)(262, 284, 287)(265, 276, 278)(269, 280, 288)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8^3 ), ( 8^24 ) }
Outer automorphisms :: reflexible
Dual of E28.1805
Graph:: simple bipartite
	v = 54 e = 144 f = 36
	degree seq :: [ 3^48, 24^6 ]

E28.1800 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 3, 3, 12})
Quotient :: edge^2
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^3, Y2^3, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y1, Y3 * Y2^-1 * Y1^-1 * Y3 * Y2 * Y1, Y1 * Y2 * Y3 * Y1^-1 * Y2^-1 * Y3, Y3 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y1, Y1 * Y3 * Y1 * Y2^-1 * Y3 * Y2^-1, Y2^-1 * Y3 * Y1 * Y2 * Y3 * Y1^-1, (Y2 * Y1^-1)^3, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1, (Y2^-1, Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 4, 76)(2, 74, 8, 80)(3, 75, 11, 83)(5, 77, 18, 90)(6, 78, 21, 93)(7, 79, 24, 96)(9, 81, 31, 103)(10, 82, 34, 106)(12, 84, 39, 111)(13, 85, 41, 113)(14, 86, 43, 115)(15, 87, 45, 117)(16, 88, 47, 119)(17, 89, 42, 114)(19, 91, 48, 120)(20, 92, 44, 116)(22, 94, 46, 118)(23, 95, 38, 110)(25, 97, 58, 130)(26, 98, 64, 136)(27, 99, 59, 131)(28, 100, 33, 105)(29, 101, 67, 139)(30, 102, 65, 137)(32, 104, 66, 138)(35, 107, 53, 125)(36, 108, 54, 126)(37, 109, 69, 141)(40, 112, 71, 143)(49, 121, 62, 134)(50, 122, 68, 140)(51, 123, 60, 132)(52, 124, 61, 133)(55, 127, 57, 129)(56, 128, 70, 142)(63, 135, 72, 144)(145, 146, 149)(147, 154, 156)(148, 157, 159)(150, 164, 166)(151, 167, 169)(152, 170, 172)(153, 174, 176)(155, 180, 181)(158, 168, 188)(160, 183, 192)(161, 193, 194)(162, 195, 196)(163, 198, 199)(165, 173, 202)(171, 186, 209)(175, 197, 212)(177, 205, 189)(178, 201, 214)(179, 203, 207)(182, 190, 215)(184, 211, 187)(185, 208, 204)(191, 213, 200)(206, 210, 216)(217, 219, 222)(218, 223, 225)(220, 230, 232)(221, 233, 235)(224, 243, 245)(226, 249, 251)(227, 242, 254)(228, 246, 256)(229, 250, 258)(231, 247, 262)(234, 253, 269)(236, 272, 266)(237, 273, 268)(238, 275, 276)(239, 277, 263)(240, 267, 278)(241, 270, 279)(244, 264, 282)(248, 285, 257)(252, 260, 281)(255, 274, 284)(259, 280, 271)(261, 283, 265)(286, 287, 288)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 48^3 ), ( 48^4 ) }
Outer automorphisms :: reflexible
Dual of E28.1802
Graph:: simple bipartite
	v = 84 e = 144 f = 6
	degree seq :: [ 3^48, 4^36 ]

E28.1801 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 3, 3, 12})
Quotient :: edge^2
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, R * Y1 * R * Y2, (R * Y3)^2, Y1^-1 * Y3 * Y2 * Y3, (Y2^-1 * Y1)^3, (Y2^-1 * Y1)^3, Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2^-1, (Y2 * Y1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 73, 4, 76)(2, 74, 8, 80)(3, 75, 11, 83)(5, 77, 14, 86)(6, 78, 13, 85)(7, 79, 20, 92)(9, 81, 22, 94)(10, 82, 26, 98)(12, 84, 28, 100)(15, 87, 32, 104)(16, 88, 33, 105)(17, 89, 30, 102)(18, 90, 31, 103)(19, 91, 42, 114)(21, 93, 44, 116)(23, 95, 46, 118)(24, 96, 47, 119)(25, 97, 50, 122)(27, 99, 52, 124)(29, 101, 53, 125)(34, 106, 60, 132)(35, 107, 57, 129)(36, 108, 61, 133)(37, 109, 62, 134)(38, 110, 56, 128)(39, 111, 58, 130)(40, 112, 59, 131)(41, 113, 64, 136)(43, 115, 65, 137)(45, 117, 66, 138)(48, 120, 67, 139)(49, 121, 68, 140)(51, 123, 69, 141)(54, 126, 70, 142)(55, 127, 71, 143)(63, 135, 72, 144)(145, 146, 149)(147, 154, 156)(148, 155, 157)(150, 161, 162)(151, 163, 165)(152, 164, 166)(153, 167, 168)(158, 176, 177)(159, 178, 179)(160, 180, 181)(169, 185, 195)(170, 194, 196)(171, 183, 189)(172, 190, 197)(173, 198, 199)(174, 200, 201)(175, 202, 203)(182, 187, 192)(184, 193, 207)(186, 208, 209)(188, 205, 210)(191, 211, 212)(204, 213, 214)(206, 215, 216)(217, 219, 222)(218, 223, 225)(220, 224, 230)(221, 231, 232)(226, 241, 243)(227, 242, 244)(228, 239, 245)(229, 246, 247)(233, 254, 251)(234, 255, 256)(235, 257, 259)(236, 258, 260)(237, 252, 261)(238, 262, 263)(240, 264, 265)(248, 276, 273)(249, 277, 278)(250, 267, 270)(253, 271, 279)(266, 280, 285)(268, 274, 282)(269, 286, 287)(272, 281, 283)(275, 284, 288)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 48^3 ), ( 48^4 ) }
Outer automorphisms :: reflexible
Dual of E28.1803
Graph:: simple bipartite
	v = 84 e = 144 f = 6
	degree seq :: [ 3^48, 4^36 ]

E28.1802 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 3, 3, 12})
Quotient :: loop^2
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, Y2^-1 * Y3^2 * Y1^-1, Y2 * Y3^-1 * Y1^-1 * Y3, R * Y1 * R * Y2, (R * Y3)^2, (Y2 * Y1^-1)^3, (Y1^-1 * Y3^-1 * Y2^-1)^2, Y1 * Y2^-1 * Y3 * Y1^-1 * Y2 * Y3 * Y2, Y2 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 73, 145, 217, 4, 76, 148, 220, 12, 84, 156, 228, 30, 102, 174, 246, 57, 129, 201, 273, 68, 140, 212, 284, 63, 135, 207, 279, 70, 142, 214, 286, 71, 143, 215, 287, 53, 125, 197, 269, 20, 92, 164, 236, 7, 79, 151, 223)(2, 74, 146, 218, 9, 81, 153, 225, 26, 98, 170, 242, 48, 120, 192, 264, 66, 138, 210, 282, 72, 144, 216, 288, 69, 141, 213, 285, 43, 115, 187, 259, 56, 128, 200, 272, 24, 96, 168, 240, 6, 78, 150, 222, 11, 83, 155, 227)(3, 75, 147, 219, 13, 85, 157, 229, 22, 94, 166, 238, 31, 103, 175, 247, 58, 130, 202, 274, 61, 133, 205, 277, 28, 100, 172, 244, 59, 131, 203, 275, 52, 124, 196, 268, 25, 97, 169, 241, 41, 113, 185, 257, 15, 87, 159, 231)(5, 77, 149, 221, 18, 90, 162, 234, 46, 118, 190, 262, 16, 88, 160, 232, 36, 108, 180, 252, 65, 137, 209, 281, 55, 127, 199, 271, 62, 134, 206, 278, 64, 136, 208, 280, 34, 106, 178, 250, 10, 82, 154, 226, 21, 93, 165, 237)(8, 80, 152, 224, 27, 99, 171, 243, 32, 104, 176, 248, 49, 121, 193, 265, 67, 139, 211, 283, 39, 111, 183, 255, 50, 122, 194, 266, 44, 116, 188, 260, 23, 95, 167, 239, 35, 107, 179, 251, 60, 132, 204, 276, 29, 101, 173, 245)(14, 86, 158, 230, 40, 112, 184, 256, 33, 105, 177, 249, 38, 110, 182, 254, 54, 126, 198, 270, 51, 123, 195, 267, 19, 91, 163, 235, 45, 117, 189, 261, 47, 119, 191, 263, 17, 89, 161, 233, 37, 109, 181, 253, 42, 114, 186, 258)
	L = (1, 74)(2, 77)(3, 84)(4, 88)(5, 73)(6, 94)(7, 87)(8, 98)(9, 102)(10, 104)(11, 101)(12, 86)(13, 110)(14, 75)(15, 96)(16, 89)(17, 76)(18, 120)(19, 118)(20, 119)(21, 123)(22, 95)(23, 78)(24, 79)(25, 114)(26, 100)(27, 97)(28, 80)(29, 106)(30, 103)(31, 81)(32, 105)(33, 82)(34, 83)(35, 133)(36, 129)(37, 127)(38, 111)(39, 85)(40, 140)(41, 139)(42, 99)(43, 116)(44, 137)(45, 107)(46, 122)(47, 124)(48, 121)(49, 90)(50, 91)(51, 125)(52, 92)(53, 93)(54, 130)(55, 132)(56, 136)(57, 138)(58, 135)(59, 144)(60, 109)(61, 117)(62, 112)(63, 126)(64, 143)(65, 115)(66, 108)(67, 141)(68, 134)(69, 113)(70, 131)(71, 128)(72, 142)(145, 219)(146, 224)(147, 222)(148, 225)(149, 235)(150, 217)(151, 233)(152, 226)(153, 234)(154, 218)(155, 247)(156, 252)(157, 246)(158, 248)(159, 255)(160, 260)(161, 241)(162, 220)(163, 236)(164, 221)(165, 265)(166, 270)(167, 271)(168, 250)(169, 223)(170, 273)(171, 264)(172, 263)(173, 258)(174, 256)(175, 251)(176, 257)(177, 279)(178, 269)(179, 227)(180, 253)(181, 228)(182, 237)(183, 259)(184, 229)(185, 230)(186, 278)(187, 231)(188, 261)(189, 232)(190, 282)(191, 276)(192, 275)(193, 254)(194, 238)(195, 277)(196, 285)(197, 240)(198, 266)(199, 272)(200, 239)(201, 274)(202, 242)(203, 243)(204, 244)(205, 286)(206, 245)(207, 280)(208, 249)(209, 284)(210, 283)(211, 262)(212, 288)(213, 287)(214, 267)(215, 268)(216, 281)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.1800
Transitivity :: VT+
Graph::
	v = 6 e = 144 f = 84
	degree seq :: [ 48^6 ]

E28.1803 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 3, 3, 12})
Quotient :: loop^2
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, Y3 * Y1 * Y3^-1 * Y2^-1, Y3^2 * Y1^-1 * Y2^-1, R * Y1 * R * Y2, (R * Y3)^2, (Y3 * Y1^-1)^2, Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y2^-1, (Y2 * Y1^-1)^3, Y3 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y1 * Y2, Y1 * Y2 * Y3^-1 * Y2 * Y1^-1 * Y2 * Y3, Y3^2 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y3^2 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 145, 217, 4, 76, 148, 220, 12, 84, 156, 228, 34, 106, 178, 250, 55, 127, 199, 271, 60, 132, 204, 276, 61, 133, 205, 277, 64, 136, 208, 280, 71, 143, 215, 287, 47, 119, 191, 263, 19, 91, 163, 235, 7, 79, 151, 223)(2, 74, 146, 218, 9, 81, 153, 225, 25, 97, 169, 241, 56, 128, 200, 272, 65, 137, 209, 281, 70, 142, 214, 286, 68, 140, 212, 284, 72, 144, 216, 288, 52, 124, 196, 268, 23, 95, 167, 239, 6, 78, 150, 222, 11, 83, 155, 227)(3, 75, 147, 219, 13, 85, 157, 229, 21, 93, 165, 237, 49, 121, 193, 265, 57, 129, 201, 273, 29, 101, 173, 245, 27, 99, 171, 243, 54, 126, 198, 270, 46, 118, 190, 262, 69, 141, 213, 285, 38, 110, 182, 254, 15, 87, 159, 231)(5, 77, 149, 221, 18, 90, 162, 234, 41, 113, 185, 257, 66, 138, 210, 282, 33, 105, 177, 249, 40, 112, 184, 256, 50, 122, 194, 266, 53, 125, 197, 269, 63, 135, 207, 279, 32, 104, 176, 248, 10, 82, 154, 226, 20, 92, 164, 236)(8, 80, 152, 224, 26, 98, 170, 242, 30, 102, 174, 246, 39, 111, 183, 255, 67, 139, 211, 283, 44, 116, 188, 260, 42, 114, 186, 258, 36, 108, 180, 252, 22, 94, 166, 238, 51, 123, 195, 267, 58, 130, 202, 274, 28, 100, 172, 244)(14, 86, 158, 230, 37, 109, 181, 253, 31, 103, 175, 247, 62, 134, 206, 278, 48, 120, 192, 264, 43, 115, 187, 259, 17, 89, 161, 233, 24, 96, 168, 240, 45, 117, 189, 261, 59, 131, 203, 275, 35, 107, 179, 251, 16, 88, 160, 232)
	L = (1, 74)(2, 77)(3, 84)(4, 85)(5, 73)(6, 93)(7, 90)(8, 97)(9, 98)(10, 102)(11, 76)(12, 86)(13, 83)(14, 75)(15, 109)(16, 106)(17, 113)(18, 96)(19, 117)(20, 81)(21, 94)(22, 78)(23, 123)(24, 79)(25, 99)(26, 92)(27, 80)(28, 126)(29, 128)(30, 103)(31, 82)(32, 134)(33, 127)(34, 112)(35, 122)(36, 121)(37, 111)(38, 139)(39, 87)(40, 88)(41, 114)(42, 89)(43, 108)(44, 138)(45, 118)(46, 91)(47, 141)(48, 129)(49, 115)(50, 130)(51, 125)(52, 135)(53, 95)(54, 131)(55, 137)(56, 132)(57, 133)(58, 107)(59, 100)(60, 101)(61, 120)(62, 136)(63, 143)(64, 104)(65, 105)(66, 142)(67, 140)(68, 110)(69, 144)(70, 116)(71, 124)(72, 119)(145, 219)(146, 224)(147, 222)(148, 232)(149, 233)(150, 217)(151, 227)(152, 226)(153, 245)(154, 218)(155, 236)(156, 249)(157, 252)(158, 246)(159, 220)(160, 231)(161, 235)(162, 260)(163, 221)(164, 223)(165, 264)(166, 266)(167, 229)(168, 270)(169, 271)(170, 253)(171, 261)(172, 225)(173, 244)(174, 254)(175, 277)(176, 242)(177, 251)(178, 272)(179, 228)(180, 239)(181, 248)(182, 230)(183, 286)(184, 267)(185, 281)(186, 237)(187, 234)(188, 259)(189, 274)(190, 284)(191, 240)(192, 258)(193, 276)(194, 268)(195, 275)(196, 238)(197, 280)(198, 263)(199, 273)(200, 282)(201, 241)(202, 243)(203, 256)(204, 278)(205, 279)(206, 265)(207, 247)(208, 288)(209, 283)(210, 250)(211, 257)(212, 287)(213, 255)(214, 285)(215, 262)(216, 269)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.1801
Transitivity :: VT+
Graph::
	v = 6 e = 144 f = 84
	degree seq :: [ 48^6 ]

E28.1804 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 3, 3, 12})
Quotient :: loop^2
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^3, Y2^3, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y1, Y3 * Y2^-1 * Y1^-1 * Y3 * Y2 * Y1, Y1 * Y2 * Y3 * Y1^-1 * Y2^-1 * Y3, Y3 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y1, Y1 * Y3 * Y1 * Y2^-1 * Y3 * Y2^-1, Y2^-1 * Y3 * Y1 * Y2 * Y3 * Y1^-1, (Y2 * Y1^-1)^3, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1, (Y2^-1, Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 145, 217, 4, 76, 148, 220)(2, 74, 146, 218, 8, 80, 152, 224)(3, 75, 147, 219, 11, 83, 155, 227)(5, 77, 149, 221, 18, 90, 162, 234)(6, 78, 150, 222, 21, 93, 165, 237)(7, 79, 151, 223, 24, 96, 168, 240)(9, 81, 153, 225, 31, 103, 175, 247)(10, 82, 154, 226, 34, 106, 178, 250)(12, 84, 156, 228, 39, 111, 183, 255)(13, 85, 157, 229, 41, 113, 185, 257)(14, 86, 158, 230, 43, 115, 187, 259)(15, 87, 159, 231, 45, 117, 189, 261)(16, 88, 160, 232, 47, 119, 191, 263)(17, 89, 161, 233, 42, 114, 186, 258)(19, 91, 163, 235, 48, 120, 192, 264)(20, 92, 164, 236, 44, 116, 188, 260)(22, 94, 166, 238, 46, 118, 190, 262)(23, 95, 167, 239, 38, 110, 182, 254)(25, 97, 169, 241, 58, 130, 202, 274)(26, 98, 170, 242, 64, 136, 208, 280)(27, 99, 171, 243, 59, 131, 203, 275)(28, 100, 172, 244, 33, 105, 177, 249)(29, 101, 173, 245, 67, 139, 211, 283)(30, 102, 174, 246, 65, 137, 209, 281)(32, 104, 176, 248, 66, 138, 210, 282)(35, 107, 179, 251, 53, 125, 197, 269)(36, 108, 180, 252, 54, 126, 198, 270)(37, 109, 181, 253, 69, 141, 213, 285)(40, 112, 184, 256, 71, 143, 215, 287)(49, 121, 193, 265, 62, 134, 206, 278)(50, 122, 194, 266, 68, 140, 212, 284)(51, 123, 195, 267, 60, 132, 204, 276)(52, 124, 196, 268, 61, 133, 205, 277)(55, 127, 199, 271, 57, 129, 201, 273)(56, 128, 200, 272, 70, 142, 214, 286)(63, 135, 207, 279, 72, 144, 216, 288)
	L = (1, 74)(2, 77)(3, 82)(4, 85)(5, 73)(6, 92)(7, 95)(8, 98)(9, 102)(10, 84)(11, 108)(12, 75)(13, 87)(14, 96)(15, 76)(16, 111)(17, 121)(18, 123)(19, 126)(20, 94)(21, 101)(22, 78)(23, 97)(24, 116)(25, 79)(26, 100)(27, 114)(28, 80)(29, 130)(30, 104)(31, 125)(32, 81)(33, 133)(34, 129)(35, 131)(36, 109)(37, 83)(38, 118)(39, 120)(40, 139)(41, 136)(42, 137)(43, 112)(44, 86)(45, 105)(46, 143)(47, 141)(48, 88)(49, 122)(50, 89)(51, 124)(52, 90)(53, 140)(54, 127)(55, 91)(56, 119)(57, 142)(58, 93)(59, 135)(60, 113)(61, 117)(62, 138)(63, 107)(64, 132)(65, 99)(66, 144)(67, 115)(68, 103)(69, 128)(70, 106)(71, 110)(72, 134)(145, 219)(146, 223)(147, 222)(148, 230)(149, 233)(150, 217)(151, 225)(152, 243)(153, 218)(154, 249)(155, 242)(156, 246)(157, 250)(158, 232)(159, 247)(160, 220)(161, 235)(162, 253)(163, 221)(164, 272)(165, 273)(166, 275)(167, 277)(168, 267)(169, 270)(170, 254)(171, 245)(172, 264)(173, 224)(174, 256)(175, 262)(176, 285)(177, 251)(178, 258)(179, 226)(180, 260)(181, 269)(182, 227)(183, 274)(184, 228)(185, 248)(186, 229)(187, 280)(188, 281)(189, 283)(190, 231)(191, 239)(192, 282)(193, 261)(194, 236)(195, 278)(196, 237)(197, 234)(198, 279)(199, 259)(200, 266)(201, 268)(202, 284)(203, 276)(204, 238)(205, 263)(206, 240)(207, 241)(208, 271)(209, 252)(210, 244)(211, 265)(212, 255)(213, 257)(214, 287)(215, 288)(216, 286)
	local type(s) :: { ( 3, 24, 3, 24, 3, 24, 3, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1798
Transitivity :: VT+
Graph:: simple
	v = 36 e = 144 f = 54
	degree seq :: [ 8^36 ]

E28.1805 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 3, 3, 12})
Quotient :: loop^2
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, R * Y1 * R * Y2, (R * Y3)^2, Y1^-1 * Y3 * Y2 * Y3, (Y2^-1 * Y1)^3, (Y2^-1 * Y1)^3, Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2^-1, (Y2 * Y1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 73, 145, 217, 4, 76, 148, 220)(2, 74, 146, 218, 8, 80, 152, 224)(3, 75, 147, 219, 11, 83, 155, 227)(5, 77, 149, 221, 14, 86, 158, 230)(6, 78, 150, 222, 13, 85, 157, 229)(7, 79, 151, 223, 20, 92, 164, 236)(9, 81, 153, 225, 22, 94, 166, 238)(10, 82, 154, 226, 26, 98, 170, 242)(12, 84, 156, 228, 28, 100, 172, 244)(15, 87, 159, 231, 32, 104, 176, 248)(16, 88, 160, 232, 33, 105, 177, 249)(17, 89, 161, 233, 30, 102, 174, 246)(18, 90, 162, 234, 31, 103, 175, 247)(19, 91, 163, 235, 42, 114, 186, 258)(21, 93, 165, 237, 44, 116, 188, 260)(23, 95, 167, 239, 46, 118, 190, 262)(24, 96, 168, 240, 47, 119, 191, 263)(25, 97, 169, 241, 50, 122, 194, 266)(27, 99, 171, 243, 52, 124, 196, 268)(29, 101, 173, 245, 53, 125, 197, 269)(34, 106, 178, 250, 60, 132, 204, 276)(35, 107, 179, 251, 57, 129, 201, 273)(36, 108, 180, 252, 61, 133, 205, 277)(37, 109, 181, 253, 62, 134, 206, 278)(38, 110, 182, 254, 56, 128, 200, 272)(39, 111, 183, 255, 58, 130, 202, 274)(40, 112, 184, 256, 59, 131, 203, 275)(41, 113, 185, 257, 64, 136, 208, 280)(43, 115, 187, 259, 65, 137, 209, 281)(45, 117, 189, 261, 66, 138, 210, 282)(48, 120, 192, 264, 67, 139, 211, 283)(49, 121, 193, 265, 68, 140, 212, 284)(51, 123, 195, 267, 69, 141, 213, 285)(54, 126, 198, 270, 70, 142, 214, 286)(55, 127, 199, 271, 71, 143, 215, 287)(63, 135, 207, 279, 72, 144, 216, 288)
	L = (1, 74)(2, 77)(3, 82)(4, 83)(5, 73)(6, 89)(7, 91)(8, 92)(9, 95)(10, 84)(11, 85)(12, 75)(13, 76)(14, 104)(15, 106)(16, 108)(17, 90)(18, 78)(19, 93)(20, 94)(21, 79)(22, 80)(23, 96)(24, 81)(25, 113)(26, 122)(27, 111)(28, 118)(29, 126)(30, 128)(31, 130)(32, 105)(33, 86)(34, 107)(35, 87)(36, 109)(37, 88)(38, 115)(39, 117)(40, 121)(41, 123)(42, 136)(43, 120)(44, 133)(45, 99)(46, 125)(47, 139)(48, 110)(49, 135)(50, 124)(51, 97)(52, 98)(53, 100)(54, 127)(55, 101)(56, 129)(57, 102)(58, 131)(59, 103)(60, 141)(61, 138)(62, 143)(63, 112)(64, 137)(65, 114)(66, 116)(67, 140)(68, 119)(69, 142)(70, 132)(71, 144)(72, 134)(145, 219)(146, 223)(147, 222)(148, 224)(149, 231)(150, 217)(151, 225)(152, 230)(153, 218)(154, 241)(155, 242)(156, 239)(157, 246)(158, 220)(159, 232)(160, 221)(161, 254)(162, 255)(163, 257)(164, 258)(165, 252)(166, 262)(167, 245)(168, 264)(169, 243)(170, 244)(171, 226)(172, 227)(173, 228)(174, 247)(175, 229)(176, 276)(177, 277)(178, 267)(179, 233)(180, 261)(181, 271)(182, 251)(183, 256)(184, 234)(185, 259)(186, 260)(187, 235)(188, 236)(189, 237)(190, 263)(191, 238)(192, 265)(193, 240)(194, 280)(195, 270)(196, 274)(197, 286)(198, 250)(199, 279)(200, 281)(201, 248)(202, 282)(203, 284)(204, 273)(205, 278)(206, 249)(207, 253)(208, 285)(209, 283)(210, 268)(211, 272)(212, 288)(213, 266)(214, 287)(215, 269)(216, 275)
	local type(s) :: { ( 3, 24, 3, 24, 3, 24, 3, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1799
Transitivity :: VT+
Graph::
	v = 36 e = 144 f = 54
	degree seq :: [ 8^36 ]

E28.1806 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 12})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, (Y3, Y2), (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2)^2, (R * Y3)^2, Y1 * Y3 * Y2^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3, (Y3 * Y1 * Y3^-1 * Y1)^3 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 7, 79)(4, 76, 13, 85)(5, 77, 9, 81)(6, 78, 16, 88)(8, 80, 19, 91)(10, 82, 22, 94)(11, 83, 23, 95)(12, 84, 24, 96)(14, 86, 26, 98)(15, 87, 28, 100)(17, 89, 31, 103)(18, 90, 32, 104)(20, 92, 34, 106)(21, 93, 36, 108)(25, 97, 43, 115)(27, 99, 46, 118)(29, 101, 49, 121)(30, 102, 50, 122)(33, 105, 42, 114)(35, 107, 55, 127)(37, 109, 58, 130)(38, 110, 44, 116)(39, 111, 57, 129)(40, 112, 59, 131)(41, 113, 60, 132)(45, 117, 61, 133)(47, 119, 63, 135)(48, 120, 51, 123)(52, 124, 65, 137)(53, 125, 66, 138)(54, 126, 67, 139)(56, 128, 69, 141)(62, 134, 68, 140)(64, 136, 70, 142)(71, 143, 72, 144)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 155, 227, 158, 230)(150, 222, 156, 228, 159, 231)(152, 224, 161, 233, 164, 236)(154, 226, 162, 234, 165, 237)(157, 229, 167, 239, 170, 242)(160, 232, 168, 240, 172, 244)(163, 235, 175, 247, 178, 250)(166, 238, 176, 248, 180, 252)(169, 241, 183, 255, 188, 260)(171, 243, 184, 256, 189, 261)(173, 245, 185, 257, 191, 263)(174, 246, 186, 258, 192, 264)(177, 249, 195, 267, 194, 266)(179, 251, 196, 268, 198, 270)(181, 253, 197, 269, 200, 272)(182, 254, 187, 259, 201, 273)(190, 262, 203, 275, 205, 277)(193, 265, 204, 276, 207, 279)(199, 271, 209, 281, 211, 283)(202, 274, 210, 282, 213, 285)(206, 278, 208, 280, 215, 287)(212, 284, 214, 286, 216, 288)
	L = (1, 148)(2, 152)(3, 155)(4, 150)(5, 158)(6, 145)(7, 161)(8, 154)(9, 164)(10, 146)(11, 156)(12, 147)(13, 169)(14, 159)(15, 149)(16, 173)(17, 162)(18, 151)(19, 177)(20, 165)(21, 153)(22, 181)(23, 183)(24, 185)(25, 171)(26, 188)(27, 157)(28, 191)(29, 174)(30, 160)(31, 195)(32, 197)(33, 179)(34, 194)(35, 163)(36, 200)(37, 182)(38, 166)(39, 184)(40, 167)(41, 186)(42, 168)(43, 176)(44, 189)(45, 170)(46, 206)(47, 192)(48, 172)(49, 203)(50, 198)(51, 196)(52, 175)(53, 187)(54, 178)(55, 212)(56, 201)(57, 180)(58, 209)(59, 208)(60, 205)(61, 215)(62, 207)(63, 190)(64, 193)(65, 214)(66, 211)(67, 216)(68, 213)(69, 199)(70, 202)(71, 204)(72, 210)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1822
Graph:: simple bipartite
	v = 60 e = 144 f = 30
	degree seq :: [ 4^36, 6^24 ]

E28.1807 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 12})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, (Y2^-1, Y3^-1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y3, (Y3 * Y1 * Y3^-1 * Y1)^3 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 7, 79)(4, 76, 13, 85)(5, 77, 9, 81)(6, 78, 16, 88)(8, 80, 19, 91)(10, 82, 22, 94)(11, 83, 23, 95)(12, 84, 24, 96)(14, 86, 26, 98)(15, 87, 28, 100)(17, 89, 31, 103)(18, 90, 32, 104)(20, 92, 34, 106)(21, 93, 36, 108)(25, 97, 43, 115)(27, 99, 46, 118)(29, 101, 49, 121)(30, 102, 50, 122)(33, 105, 48, 120)(35, 107, 56, 128)(37, 109, 58, 130)(38, 110, 39, 111)(40, 112, 59, 131)(41, 113, 60, 132)(42, 114, 54, 126)(44, 116, 53, 125)(45, 117, 61, 133)(47, 119, 63, 135)(51, 123, 65, 137)(52, 124, 66, 138)(55, 127, 67, 139)(57, 129, 69, 141)(62, 134, 68, 140)(64, 136, 70, 142)(71, 143, 72, 144)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 155, 227, 158, 230)(150, 222, 156, 228, 159, 231)(152, 224, 161, 233, 164, 236)(154, 226, 162, 234, 165, 237)(157, 229, 167, 239, 170, 242)(160, 232, 168, 240, 172, 244)(163, 235, 175, 247, 178, 250)(166, 238, 176, 248, 180, 252)(169, 241, 183, 255, 188, 260)(171, 243, 184, 256, 189, 261)(173, 245, 185, 257, 191, 263)(174, 246, 186, 258, 192, 264)(177, 249, 194, 266, 198, 270)(179, 251, 195, 267, 199, 271)(181, 253, 196, 268, 201, 273)(182, 254, 197, 269, 187, 259)(190, 262, 203, 275, 205, 277)(193, 265, 204, 276, 207, 279)(200, 272, 209, 281, 211, 283)(202, 274, 210, 282, 213, 285)(206, 278, 215, 287, 208, 280)(212, 284, 216, 288, 214, 286)
	L = (1, 148)(2, 152)(3, 155)(4, 150)(5, 158)(6, 145)(7, 161)(8, 154)(9, 164)(10, 146)(11, 156)(12, 147)(13, 169)(14, 159)(15, 149)(16, 173)(17, 162)(18, 151)(19, 177)(20, 165)(21, 153)(22, 181)(23, 183)(24, 185)(25, 171)(26, 188)(27, 157)(28, 191)(29, 174)(30, 160)(31, 194)(32, 196)(33, 179)(34, 198)(35, 163)(36, 201)(37, 182)(38, 166)(39, 184)(40, 167)(41, 186)(42, 168)(43, 180)(44, 189)(45, 170)(46, 206)(47, 192)(48, 172)(49, 205)(50, 195)(51, 175)(52, 197)(53, 176)(54, 199)(55, 178)(56, 212)(57, 187)(58, 211)(59, 215)(60, 190)(61, 208)(62, 204)(63, 203)(64, 193)(65, 216)(66, 200)(67, 214)(68, 210)(69, 209)(70, 202)(71, 207)(72, 213)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1825
Graph:: simple bipartite
	v = 60 e = 144 f = 30
	degree seq :: [ 4^36, 6^24 ]

E28.1808 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 12})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, (Y2^-1, Y3^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y1 * Y2 * Y3^-1 * Y1 * Y2^-1, Y1 * Y3^-1 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y1 * Y3^-1, (Y1 * Y2^-1)^4, Y2 * Y1 * Y2^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 14, 86)(5, 77, 16, 88)(6, 78, 18, 90)(7, 79, 19, 91)(8, 80, 22, 94)(9, 81, 24, 96)(10, 82, 26, 98)(12, 84, 31, 103)(13, 85, 21, 93)(15, 87, 23, 95)(17, 89, 38, 110)(20, 92, 45, 117)(25, 97, 52, 124)(27, 99, 50, 122)(28, 100, 54, 126)(29, 101, 55, 127)(30, 102, 56, 128)(32, 104, 51, 123)(33, 105, 57, 129)(34, 106, 58, 130)(35, 107, 59, 131)(36, 108, 41, 113)(37, 109, 46, 118)(39, 111, 60, 132)(40, 112, 42, 114)(43, 115, 61, 133)(44, 116, 62, 134)(47, 119, 63, 135)(48, 120, 64, 136)(49, 121, 65, 137)(53, 125, 66, 138)(67, 139, 70, 142)(68, 140, 71, 143)(69, 141, 72, 144)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 156, 228, 159, 231)(150, 222, 157, 229, 161, 233)(152, 224, 164, 236, 167, 239)(154, 226, 165, 237, 169, 241)(155, 227, 171, 243, 173, 245)(158, 230, 172, 244, 177, 249)(160, 232, 178, 250, 180, 252)(162, 234, 183, 255, 181, 253)(163, 235, 185, 257, 187, 259)(166, 238, 186, 258, 191, 263)(168, 240, 192, 264, 194, 266)(170, 242, 197, 269, 195, 267)(174, 246, 182, 254, 176, 248)(175, 247, 179, 251, 184, 256)(188, 260, 196, 268, 190, 262)(189, 261, 193, 265, 198, 270)(199, 271, 211, 283, 202, 274)(200, 272, 213, 285, 204, 276)(201, 273, 212, 284, 203, 275)(205, 277, 214, 286, 208, 280)(206, 278, 216, 288, 210, 282)(207, 279, 215, 287, 209, 281)
	L = (1, 148)(2, 152)(3, 156)(4, 150)(5, 159)(6, 145)(7, 164)(8, 154)(9, 167)(10, 146)(11, 172)(12, 157)(13, 147)(14, 176)(15, 161)(16, 179)(17, 149)(18, 178)(19, 186)(20, 165)(21, 151)(22, 190)(23, 169)(24, 193)(25, 153)(26, 192)(27, 177)(28, 174)(29, 158)(30, 155)(31, 183)(32, 173)(33, 182)(34, 184)(35, 181)(36, 175)(37, 160)(38, 171)(39, 180)(40, 162)(41, 191)(42, 188)(43, 166)(44, 163)(45, 197)(46, 187)(47, 196)(48, 198)(49, 195)(50, 189)(51, 168)(52, 185)(53, 194)(54, 170)(55, 212)(56, 211)(57, 213)(58, 201)(59, 200)(60, 199)(61, 215)(62, 214)(63, 216)(64, 207)(65, 206)(66, 205)(67, 203)(68, 204)(69, 202)(70, 209)(71, 210)(72, 208)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1821
Graph:: simple bipartite
	v = 60 e = 144 f = 30
	degree seq :: [ 4^36, 6^24 ]

E28.1809 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 12})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, (Y2^-1, Y3^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1 * Y3 * Y2 * Y1 * Y3^-1 * Y2^-1, Y1 * Y3 * Y1 * Y3 * Y1 * Y2^-1 * Y1 * Y3, (Y2^-1 * Y1)^4, (Y3 * Y1 * Y3^-1 * Y1 * Y2^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 14, 86)(5, 77, 16, 88)(6, 78, 18, 90)(7, 79, 19, 91)(8, 80, 22, 94)(9, 81, 24, 96)(10, 82, 26, 98)(12, 84, 20, 92)(13, 85, 31, 103)(15, 87, 36, 108)(17, 89, 25, 97)(21, 93, 45, 117)(23, 95, 50, 122)(27, 99, 51, 123)(28, 100, 55, 127)(29, 101, 56, 128)(30, 102, 47, 119)(32, 104, 57, 129)(33, 105, 44, 116)(34, 106, 54, 126)(35, 107, 58, 130)(37, 109, 41, 113)(38, 110, 59, 131)(39, 111, 60, 132)(40, 112, 48, 120)(42, 114, 61, 133)(43, 115, 62, 134)(46, 118, 63, 135)(49, 121, 64, 136)(52, 124, 65, 137)(53, 125, 66, 138)(67, 139, 70, 142)(68, 140, 71, 143)(69, 141, 72, 144)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 156, 228, 159, 231)(150, 222, 157, 229, 161, 233)(152, 224, 164, 236, 167, 239)(154, 226, 165, 237, 169, 241)(155, 227, 171, 243, 173, 245)(158, 230, 176, 248, 178, 250)(160, 232, 179, 251, 181, 253)(162, 234, 174, 246, 183, 255)(163, 235, 185, 257, 187, 259)(166, 238, 190, 262, 192, 264)(168, 240, 193, 265, 195, 267)(170, 242, 188, 260, 197, 269)(172, 244, 180, 252, 184, 256)(175, 247, 182, 254, 177, 249)(186, 258, 194, 266, 198, 270)(189, 261, 196, 268, 191, 263)(199, 271, 211, 283, 201, 273)(200, 272, 212, 284, 202, 274)(203, 275, 204, 276, 213, 285)(205, 277, 214, 286, 207, 279)(206, 278, 215, 287, 208, 280)(209, 281, 210, 282, 216, 288)
	L = (1, 148)(2, 152)(3, 156)(4, 150)(5, 159)(6, 145)(7, 164)(8, 154)(9, 167)(10, 146)(11, 172)(12, 157)(13, 147)(14, 177)(15, 161)(16, 178)(17, 149)(18, 173)(19, 186)(20, 165)(21, 151)(22, 191)(23, 169)(24, 192)(25, 153)(26, 187)(27, 180)(28, 174)(29, 184)(30, 155)(31, 181)(32, 175)(33, 179)(34, 182)(35, 158)(36, 183)(37, 176)(38, 160)(39, 171)(40, 162)(41, 194)(42, 188)(43, 198)(44, 163)(45, 195)(46, 189)(47, 193)(48, 196)(49, 166)(50, 197)(51, 190)(52, 168)(53, 185)(54, 170)(55, 203)(56, 201)(57, 213)(58, 211)(59, 212)(60, 202)(61, 209)(62, 207)(63, 216)(64, 214)(65, 215)(66, 208)(67, 204)(68, 199)(69, 200)(70, 210)(71, 205)(72, 206)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1827
Graph:: simple bipartite
	v = 60 e = 144 f = 30
	degree seq :: [ 4^36, 6^24 ]

E28.1810 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 12})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, (R * Y3)^2, (R * Y1)^2, (Y1 * Y2^-1)^2, Y1 * Y2 * Y3^-1 * Y1 * Y3, (Y3 * Y2^-1)^3, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y3)^3, (Y2, Y3^-1)^2, Y2 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3^-1 * Y2^-1 * Y3^-1, Y1 * R * Y3^-1 * Y2 * Y1 * Y2^-1 * R * Y3^-1 * Y2^-1, (Y2 * Y3)^6 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 13, 85)(5, 77, 7, 79)(6, 78, 18, 90)(8, 80, 15, 87)(10, 82, 12, 84)(11, 83, 27, 99)(14, 86, 22, 94)(16, 88, 37, 109)(17, 89, 24, 96)(19, 91, 42, 114)(20, 92, 32, 104)(21, 93, 39, 111)(23, 95, 29, 101)(25, 97, 31, 103)(26, 98, 30, 102)(28, 100, 49, 121)(33, 105, 35, 107)(34, 106, 62, 134)(36, 108, 48, 120)(38, 110, 46, 118)(40, 112, 51, 123)(41, 113, 50, 122)(43, 115, 70, 142)(44, 116, 61, 133)(45, 117, 69, 141)(47, 119, 63, 135)(52, 124, 56, 128)(53, 125, 65, 137)(54, 126, 59, 131)(55, 127, 71, 143)(57, 129, 60, 132)(58, 130, 68, 140)(64, 136, 66, 138)(67, 139, 72, 144)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 158, 230, 159, 231)(150, 222, 163, 235, 164, 236)(152, 224, 166, 238, 157, 229)(154, 226, 169, 241, 170, 242)(155, 227, 172, 244, 173, 245)(156, 228, 174, 246, 175, 247)(160, 232, 182, 254, 183, 255)(161, 233, 184, 256, 185, 257)(162, 234, 176, 248, 186, 258)(165, 237, 190, 262, 181, 253)(167, 239, 193, 265, 171, 243)(168, 240, 194, 266, 195, 267)(177, 249, 204, 276, 205, 277)(178, 250, 199, 271, 207, 279)(179, 251, 188, 260, 201, 273)(180, 252, 208, 280, 209, 281)(187, 259, 200, 272, 202, 274)(189, 261, 203, 275, 211, 283)(191, 263, 215, 287, 206, 278)(192, 264, 197, 269, 210, 282)(196, 268, 214, 286, 212, 284)(198, 270, 213, 285, 216, 288)
	L = (1, 148)(2, 152)(3, 155)(4, 150)(5, 160)(6, 145)(7, 165)(8, 154)(9, 167)(10, 146)(11, 156)(12, 147)(13, 176)(14, 178)(15, 174)(16, 161)(17, 149)(18, 151)(19, 187)(20, 188)(21, 162)(22, 191)(23, 168)(24, 153)(25, 196)(26, 197)(27, 169)(28, 199)(29, 184)(30, 180)(31, 202)(32, 177)(33, 157)(34, 179)(35, 158)(36, 159)(37, 194)(38, 207)(39, 163)(40, 201)(41, 209)(42, 212)(43, 183)(44, 189)(45, 164)(46, 215)(47, 192)(48, 166)(49, 206)(50, 210)(51, 205)(52, 171)(53, 198)(54, 170)(55, 200)(56, 172)(57, 173)(58, 203)(59, 175)(60, 193)(61, 216)(62, 204)(63, 208)(64, 182)(65, 211)(66, 181)(67, 185)(68, 213)(69, 186)(70, 190)(71, 214)(72, 195)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1829
Graph:: simple bipartite
	v = 60 e = 144 f = 30
	degree seq :: [ 4^36, 6^24 ]

E28.1811 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 12})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, (Y2^-1, Y3^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^-1 * Y1 * Y3 * Y2^-1 * Y1 * Y2, (Y1 * Y3^-1 * Y1 * Y2^-1)^2, Y1 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y2 * Y1 * Y2, Y3 * Y1 * Y2^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y1, (Y1 * Y2 * Y3^-1 * Y2)^4 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 14, 86)(5, 77, 16, 88)(6, 78, 18, 90)(7, 79, 19, 91)(8, 80, 22, 94)(9, 81, 24, 96)(10, 82, 26, 98)(12, 84, 31, 103)(13, 85, 21, 93)(15, 87, 23, 95)(17, 89, 38, 110)(20, 92, 45, 117)(25, 97, 52, 124)(27, 99, 54, 126)(28, 100, 51, 123)(29, 101, 55, 127)(30, 102, 56, 128)(32, 104, 50, 122)(33, 105, 57, 129)(34, 106, 58, 130)(35, 107, 59, 131)(36, 108, 46, 118)(37, 109, 42, 114)(39, 111, 60, 132)(40, 112, 41, 113)(43, 115, 61, 133)(44, 116, 62, 134)(47, 119, 63, 135)(48, 120, 64, 136)(49, 121, 65, 137)(53, 125, 66, 138)(67, 139, 70, 142)(68, 140, 71, 143)(69, 141, 72, 144)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 156, 228, 159, 231)(150, 222, 157, 229, 161, 233)(152, 224, 164, 236, 167, 239)(154, 226, 165, 237, 169, 241)(155, 227, 171, 243, 173, 245)(158, 230, 172, 244, 177, 249)(160, 232, 178, 250, 180, 252)(162, 234, 183, 255, 181, 253)(163, 235, 185, 257, 187, 259)(166, 238, 186, 258, 191, 263)(168, 240, 192, 264, 194, 266)(170, 242, 197, 269, 195, 267)(174, 246, 182, 254, 176, 248)(175, 247, 179, 251, 184, 256)(188, 260, 196, 268, 190, 262)(189, 261, 193, 265, 198, 270)(199, 271, 211, 283, 204, 276)(200, 272, 213, 285, 203, 275)(201, 273, 212, 284, 202, 274)(205, 277, 214, 286, 210, 282)(206, 278, 216, 288, 209, 281)(207, 279, 215, 287, 208, 280)
	L = (1, 148)(2, 152)(3, 156)(4, 150)(5, 159)(6, 145)(7, 164)(8, 154)(9, 167)(10, 146)(11, 172)(12, 157)(13, 147)(14, 176)(15, 161)(16, 179)(17, 149)(18, 178)(19, 186)(20, 165)(21, 151)(22, 190)(23, 169)(24, 193)(25, 153)(26, 192)(27, 177)(28, 174)(29, 158)(30, 155)(31, 183)(32, 173)(33, 182)(34, 184)(35, 181)(36, 175)(37, 160)(38, 171)(39, 180)(40, 162)(41, 191)(42, 188)(43, 166)(44, 163)(45, 197)(46, 187)(47, 196)(48, 198)(49, 195)(50, 189)(51, 168)(52, 185)(53, 194)(54, 170)(55, 212)(56, 211)(57, 213)(58, 200)(59, 199)(60, 201)(61, 215)(62, 214)(63, 216)(64, 206)(65, 205)(66, 207)(67, 202)(68, 203)(69, 204)(70, 208)(71, 209)(72, 210)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1820
Graph:: simple bipartite
	v = 60 e = 144 f = 30
	degree seq :: [ 4^36, 6^24 ]

E28.1812 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 12})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, (Y2^-1, Y3), (Y3, Y2), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1 * Y3^-1 * Y2^-1 * Y1 * Y3 * Y2, (Y1 * Y3 * Y1 * Y2^-1)^2, Y3^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2, Y2 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1, Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y1 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 14, 86)(5, 77, 16, 88)(6, 78, 18, 90)(7, 79, 19, 91)(8, 80, 22, 94)(9, 81, 24, 96)(10, 82, 26, 98)(12, 84, 20, 92)(13, 85, 31, 103)(15, 87, 36, 108)(17, 89, 25, 97)(21, 93, 45, 117)(23, 95, 50, 122)(27, 99, 47, 119)(28, 100, 55, 127)(29, 101, 56, 128)(30, 102, 48, 120)(32, 104, 57, 129)(33, 105, 41, 113)(34, 106, 44, 116)(35, 107, 58, 130)(37, 109, 54, 126)(38, 110, 59, 131)(39, 111, 60, 132)(40, 112, 51, 123)(42, 114, 61, 133)(43, 115, 62, 134)(46, 118, 63, 135)(49, 121, 64, 136)(52, 124, 65, 137)(53, 125, 66, 138)(67, 139, 70, 142)(68, 140, 71, 143)(69, 141, 72, 144)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 156, 228, 159, 231)(150, 222, 157, 229, 161, 233)(152, 224, 164, 236, 167, 239)(154, 226, 165, 237, 169, 241)(155, 227, 171, 243, 173, 245)(158, 230, 176, 248, 178, 250)(160, 232, 179, 251, 181, 253)(162, 234, 174, 246, 183, 255)(163, 235, 185, 257, 187, 259)(166, 238, 190, 262, 192, 264)(168, 240, 193, 265, 195, 267)(170, 242, 188, 260, 197, 269)(172, 244, 180, 252, 184, 256)(175, 247, 182, 254, 177, 249)(186, 258, 194, 266, 198, 270)(189, 261, 196, 268, 191, 263)(199, 271, 211, 283, 203, 275)(200, 272, 212, 284, 201, 273)(202, 274, 204, 276, 213, 285)(205, 277, 214, 286, 209, 281)(206, 278, 215, 287, 207, 279)(208, 280, 210, 282, 216, 288)
	L = (1, 148)(2, 152)(3, 156)(4, 150)(5, 159)(6, 145)(7, 164)(8, 154)(9, 167)(10, 146)(11, 172)(12, 157)(13, 147)(14, 177)(15, 161)(16, 178)(17, 149)(18, 173)(19, 186)(20, 165)(21, 151)(22, 191)(23, 169)(24, 192)(25, 153)(26, 187)(27, 180)(28, 174)(29, 184)(30, 155)(31, 181)(32, 175)(33, 179)(34, 182)(35, 158)(36, 183)(37, 176)(38, 160)(39, 171)(40, 162)(41, 194)(42, 188)(43, 198)(44, 163)(45, 195)(46, 189)(47, 193)(48, 196)(49, 166)(50, 197)(51, 190)(52, 168)(53, 185)(54, 170)(55, 202)(56, 203)(57, 211)(58, 212)(59, 213)(60, 201)(61, 208)(62, 209)(63, 214)(64, 215)(65, 216)(66, 207)(67, 204)(68, 199)(69, 200)(70, 210)(71, 205)(72, 206)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1823
Graph:: simple bipartite
	v = 60 e = 144 f = 30
	degree seq :: [ 4^36, 6^24 ]

E28.1813 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 12})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3, Y2 * Y3^-2, Y2^3, (R * Y1)^2, (R * Y3)^2, Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y1 * Y3, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1, (Y3^-1 * Y1)^12 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 7, 79)(4, 76, 8, 80)(5, 77, 9, 81)(6, 78, 10, 82)(11, 83, 19, 91)(12, 84, 20, 92)(13, 85, 21, 93)(14, 86, 22, 94)(15, 87, 23, 95)(16, 88, 24, 96)(17, 89, 25, 97)(18, 90, 26, 98)(27, 99, 43, 115)(28, 100, 44, 116)(29, 101, 37, 109)(30, 102, 45, 117)(31, 103, 46, 118)(32, 104, 40, 112)(33, 105, 47, 119)(34, 106, 48, 120)(35, 107, 49, 121)(36, 108, 50, 122)(38, 110, 51, 123)(39, 111, 52, 124)(41, 113, 53, 125)(42, 114, 54, 126)(55, 127, 64, 136)(56, 128, 69, 141)(57, 129, 66, 138)(58, 130, 70, 142)(59, 131, 71, 143)(60, 132, 65, 137)(61, 133, 67, 139)(62, 134, 68, 140)(63, 135, 72, 144)(145, 217, 147, 219, 148, 220)(146, 218, 149, 221, 150, 222)(151, 223, 155, 227, 156, 228)(152, 224, 157, 229, 158, 230)(153, 225, 159, 231, 160, 232)(154, 226, 161, 233, 162, 234)(163, 235, 171, 243, 172, 244)(164, 236, 173, 245, 174, 246)(165, 237, 175, 247, 176, 248)(166, 238, 177, 249, 178, 250)(167, 239, 179, 251, 180, 252)(168, 240, 181, 253, 182, 254)(169, 241, 183, 255, 184, 256)(170, 242, 185, 257, 186, 258)(187, 259, 199, 271, 200, 272)(188, 260, 191, 263, 201, 273)(189, 261, 202, 274, 203, 275)(190, 262, 204, 276, 205, 277)(192, 264, 206, 278, 207, 279)(193, 265, 208, 280, 209, 281)(194, 266, 197, 269, 210, 282)(195, 267, 211, 283, 212, 284)(196, 268, 213, 285, 214, 286)(198, 270, 215, 287, 216, 288)
	L = (1, 148)(2, 150)(3, 145)(4, 147)(5, 146)(6, 149)(7, 156)(8, 158)(9, 160)(10, 162)(11, 151)(12, 155)(13, 152)(14, 157)(15, 153)(16, 159)(17, 154)(18, 161)(19, 172)(20, 174)(21, 176)(22, 178)(23, 180)(24, 182)(25, 184)(26, 186)(27, 163)(28, 171)(29, 164)(30, 173)(31, 165)(32, 175)(33, 166)(34, 177)(35, 167)(36, 179)(37, 168)(38, 181)(39, 169)(40, 183)(41, 170)(42, 185)(43, 200)(44, 201)(45, 203)(46, 205)(47, 188)(48, 207)(49, 209)(50, 210)(51, 212)(52, 214)(53, 194)(54, 216)(55, 187)(56, 199)(57, 191)(58, 189)(59, 202)(60, 190)(61, 204)(62, 192)(63, 206)(64, 193)(65, 208)(66, 197)(67, 195)(68, 211)(69, 196)(70, 213)(71, 198)(72, 215)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1826
Graph:: bipartite
	v = 60 e = 144 f = 30
	degree seq :: [ 4^36, 6^24 ]

E28.1814 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 12})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, Y2^3, Y3^3, (R * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y3^-1 * Y2^-1 * Y3 * Y1, Y1 * Y3 * Y1 * Y3^-1 * Y2^-1 * Y3, (Y3^-1 * R * Y2^-1)^2, Y1 * Y3^-1 * Y2^-1 * Y3 * Y1 * Y3, (Y1 * Y2^-1 * Y3)^2, Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y2^-1, (Y2 * Y3^-1)^3, Y2 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y1, (Y2 * R * Y2 * Y1)^2, (Y3^-1 * Y2^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 14, 86)(5, 77, 17, 89)(6, 78, 20, 92)(7, 79, 23, 95)(8, 80, 26, 98)(9, 81, 29, 101)(10, 82, 32, 104)(12, 84, 39, 111)(13, 85, 42, 114)(15, 87, 27, 99)(16, 88, 48, 120)(18, 90, 33, 105)(19, 91, 31, 103)(21, 93, 30, 102)(22, 94, 60, 132)(24, 96, 55, 127)(25, 97, 40, 112)(28, 100, 57, 129)(34, 106, 43, 115)(35, 107, 62, 134)(36, 108, 49, 121)(37, 109, 46, 118)(38, 110, 63, 135)(41, 113, 59, 131)(44, 116, 66, 138)(45, 117, 56, 128)(47, 119, 64, 136)(50, 122, 61, 133)(51, 123, 70, 142)(52, 124, 68, 140)(53, 125, 72, 144)(54, 126, 71, 143)(58, 130, 67, 139)(65, 137, 69, 141)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 159, 231, 160, 232)(150, 222, 165, 237, 166, 238)(152, 224, 171, 243, 172, 244)(154, 226, 177, 249, 178, 250)(155, 227, 179, 251, 181, 253)(156, 228, 184, 256, 185, 257)(157, 229, 187, 259, 188, 260)(158, 230, 189, 261, 182, 254)(161, 233, 194, 266, 196, 268)(162, 234, 198, 270, 199, 271)(163, 235, 200, 272, 201, 273)(164, 236, 202, 274, 203, 275)(167, 239, 206, 278, 205, 277)(168, 240, 186, 258, 208, 280)(169, 241, 204, 276, 180, 252)(170, 242, 209, 281, 207, 279)(173, 245, 190, 262, 212, 284)(174, 246, 197, 269, 183, 255)(175, 247, 213, 285, 192, 264)(176, 248, 214, 286, 191, 263)(193, 265, 211, 283, 216, 288)(195, 267, 215, 287, 210, 282)
	L = (1, 148)(2, 152)(3, 156)(4, 150)(5, 162)(6, 145)(7, 168)(8, 154)(9, 174)(10, 146)(11, 180)(12, 157)(13, 147)(14, 183)(15, 190)(16, 187)(17, 195)(18, 163)(19, 149)(20, 181)(21, 170)(22, 176)(23, 188)(24, 169)(25, 151)(26, 199)(27, 194)(28, 204)(29, 211)(30, 175)(31, 153)(32, 205)(33, 158)(34, 164)(35, 192)(36, 182)(37, 178)(38, 155)(39, 177)(40, 212)(41, 200)(42, 196)(43, 193)(44, 207)(45, 186)(46, 191)(47, 159)(48, 215)(49, 160)(50, 203)(51, 197)(52, 189)(53, 161)(54, 173)(55, 165)(56, 214)(57, 216)(58, 208)(59, 171)(60, 210)(61, 166)(62, 201)(63, 167)(64, 213)(65, 184)(66, 172)(67, 198)(68, 209)(69, 202)(70, 185)(71, 179)(72, 206)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1824
Graph:: simple bipartite
	v = 60 e = 144 f = 30
	degree seq :: [ 4^36, 6^24 ]

E28.1815 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 12})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, (Y2^-1 * Y3^-1)^2, (Y2^-1 * Y3^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y3 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y3 * Y2^-1, Y1 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1, R * Y2^-1 * Y1 * Y2 * Y3 * R * Y1 * Y2^-1, Y2^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 14, 86)(5, 77, 17, 89)(6, 78, 19, 91)(7, 79, 21, 93)(8, 80, 24, 96)(9, 81, 27, 99)(10, 82, 29, 101)(12, 84, 35, 107)(13, 85, 36, 108)(15, 87, 25, 97)(16, 88, 42, 114)(18, 90, 47, 119)(20, 92, 50, 122)(22, 94, 37, 109)(23, 95, 55, 127)(26, 98, 60, 132)(28, 100, 65, 137)(30, 102, 68, 140)(31, 103, 51, 123)(32, 104, 59, 131)(33, 105, 61, 133)(34, 106, 54, 126)(38, 110, 71, 143)(39, 111, 62, 134)(40, 112, 58, 130)(41, 113, 52, 124)(43, 115, 53, 125)(44, 116, 57, 129)(45, 117, 63, 135)(46, 118, 72, 144)(48, 120, 67, 139)(49, 121, 66, 138)(56, 128, 70, 142)(64, 136, 69, 141)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 159, 231, 160, 232)(150, 222, 164, 236, 156, 228)(152, 224, 169, 241, 170, 242)(154, 226, 174, 246, 166, 238)(155, 227, 175, 247, 177, 249)(157, 229, 181, 253, 162, 234)(158, 230, 182, 254, 184, 256)(161, 233, 187, 259, 189, 261)(163, 235, 192, 264, 176, 248)(165, 237, 195, 267, 197, 269)(167, 239, 179, 251, 172, 244)(168, 240, 200, 272, 202, 274)(171, 243, 205, 277, 207, 279)(173, 245, 210, 282, 196, 268)(178, 250, 214, 286, 186, 258)(180, 252, 185, 257, 188, 260)(183, 255, 194, 266, 190, 262)(191, 263, 193, 265, 213, 285)(198, 270, 215, 287, 204, 276)(199, 271, 203, 275, 206, 278)(201, 273, 212, 284, 208, 280)(209, 281, 211, 283, 216, 288)
	L = (1, 148)(2, 152)(3, 156)(4, 150)(5, 162)(6, 145)(7, 166)(8, 154)(9, 172)(10, 146)(11, 176)(12, 157)(13, 147)(14, 183)(15, 149)(16, 181)(17, 188)(18, 159)(19, 177)(20, 160)(21, 196)(22, 167)(23, 151)(24, 201)(25, 153)(26, 179)(27, 206)(28, 169)(29, 197)(30, 170)(31, 186)(32, 178)(33, 193)(34, 155)(35, 174)(36, 189)(37, 164)(38, 180)(39, 185)(40, 187)(41, 158)(42, 213)(43, 194)(44, 190)(45, 182)(46, 161)(47, 214)(48, 191)(49, 163)(50, 184)(51, 204)(52, 198)(53, 211)(54, 165)(55, 207)(56, 199)(57, 203)(58, 205)(59, 168)(60, 216)(61, 212)(62, 208)(63, 200)(64, 171)(65, 215)(66, 209)(67, 173)(68, 202)(69, 175)(70, 192)(71, 210)(72, 195)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1828
Graph:: simple bipartite
	v = 60 e = 144 f = 30
	degree seq :: [ 4^36, 6^24 ]

E28.1816 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 12})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y1)^2, (Y3, Y2), (R * Y2^-1)^2, Y3^4, (Y3^-1 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 8, 80, 13, 85)(4, 76, 15, 87, 17, 89)(6, 78, 10, 82, 20, 92)(7, 79, 22, 94, 9, 81)(11, 83, 28, 100, 19, 91)(12, 84, 29, 101, 31, 103)(14, 86, 33, 105, 23, 95)(16, 88, 36, 108, 37, 109)(18, 90, 34, 106, 40, 112)(21, 93, 42, 114, 26, 98)(24, 96, 45, 117, 32, 104)(25, 97, 43, 115, 46, 118)(27, 99, 48, 120, 41, 113)(30, 102, 51, 123, 52, 124)(35, 107, 49, 121, 39, 111)(38, 110, 56, 128, 59, 131)(44, 116, 54, 126, 62, 134)(47, 119, 61, 133, 65, 137)(50, 122, 63, 135, 53, 125)(55, 127, 66, 138, 60, 132)(57, 129, 64, 136, 58, 130)(67, 139, 71, 143, 68, 140)(69, 141, 72, 144, 70, 142)(145, 217, 147, 219, 150, 222)(146, 218, 152, 224, 154, 226)(148, 220, 156, 228, 162, 234)(149, 221, 157, 229, 164, 236)(151, 223, 158, 230, 165, 237)(153, 225, 167, 239, 170, 242)(155, 227, 168, 240, 171, 243)(159, 231, 173, 245, 178, 250)(160, 232, 174, 246, 182, 254)(161, 233, 175, 247, 184, 256)(163, 235, 176, 248, 185, 257)(166, 238, 177, 249, 186, 258)(169, 241, 188, 260, 191, 263)(172, 244, 189, 261, 192, 264)(179, 251, 194, 266, 199, 271)(180, 252, 195, 267, 200, 272)(181, 253, 196, 268, 203, 275)(183, 255, 197, 269, 204, 276)(187, 259, 198, 270, 205, 277)(190, 262, 206, 278, 209, 281)(193, 265, 207, 279, 210, 282)(201, 273, 211, 283, 213, 285)(202, 274, 212, 284, 214, 286)(208, 280, 215, 287, 216, 288)
	L = (1, 148)(2, 153)(3, 156)(4, 160)(5, 163)(6, 162)(7, 145)(8, 167)(9, 169)(10, 170)(11, 146)(12, 174)(13, 176)(14, 147)(15, 149)(16, 151)(17, 183)(18, 182)(19, 179)(20, 185)(21, 150)(22, 181)(23, 188)(24, 152)(25, 155)(26, 191)(27, 154)(28, 190)(29, 157)(30, 158)(31, 197)(32, 194)(33, 196)(34, 164)(35, 159)(36, 161)(37, 202)(38, 165)(39, 201)(40, 204)(41, 199)(42, 203)(43, 166)(44, 168)(45, 206)(46, 208)(47, 171)(48, 209)(49, 172)(50, 173)(51, 175)(52, 212)(53, 211)(54, 177)(55, 178)(56, 184)(57, 180)(58, 187)(59, 214)(60, 213)(61, 186)(62, 215)(63, 189)(64, 193)(65, 216)(66, 192)(67, 195)(68, 198)(69, 200)(70, 205)(71, 207)(72, 210)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1818
Graph:: simple bipartite
	v = 48 e = 144 f = 42
	degree seq :: [ 6^48 ]

E28.1817 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 12})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, (R * Y3)^2, (Y2^-1, Y1^-1), (Y2^-1, Y3^-1), (R * Y1)^2, (R * Y2^-1)^2, (Y3^-1 * Y1^-1)^2, Y3^4 * Y2, Y1 * Y2^-1 * Y3 * Y1 * Y2 * Y3, Y3^-1 * Y1 * Y2 * Y3^-1 * Y1^-1 * Y3^2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 8, 80, 13, 85)(4, 76, 15, 87, 17, 89)(6, 78, 10, 82, 20, 92)(7, 79, 22, 94, 9, 81)(11, 83, 29, 101, 19, 91)(12, 84, 31, 103, 32, 104)(14, 86, 34, 106, 24, 96)(16, 88, 38, 110, 39, 111)(18, 90, 36, 108, 41, 113)(21, 93, 44, 116, 27, 99)(23, 95, 47, 119, 45, 117)(25, 97, 48, 120, 33, 105)(26, 98, 46, 118, 50, 122)(28, 100, 51, 123, 43, 115)(30, 102, 54, 126, 52, 124)(35, 107, 58, 130, 57, 129)(37, 109, 59, 131, 40, 112)(42, 114, 53, 125, 63, 135)(49, 121, 64, 136, 68, 140)(55, 127, 70, 142, 56, 128)(60, 132, 71, 143, 61, 133)(62, 134, 69, 141, 66, 138)(65, 137, 67, 139, 72, 144)(145, 217, 147, 219, 150, 222)(146, 218, 152, 224, 154, 226)(148, 220, 156, 228, 162, 234)(149, 221, 157, 229, 164, 236)(151, 223, 158, 230, 165, 237)(153, 225, 168, 240, 171, 243)(155, 227, 169, 241, 172, 244)(159, 231, 175, 247, 180, 252)(160, 232, 167, 239, 179, 251)(161, 233, 176, 248, 185, 257)(163, 235, 177, 249, 187, 259)(166, 238, 178, 250, 188, 260)(170, 242, 174, 246, 193, 265)(173, 245, 192, 264, 195, 267)(181, 253, 199, 271, 186, 258)(182, 254, 191, 263, 202, 274)(183, 255, 189, 261, 201, 273)(184, 256, 200, 272, 207, 279)(190, 262, 198, 270, 208, 280)(194, 266, 196, 268, 212, 284)(197, 269, 203, 275, 214, 286)(204, 276, 211, 283, 206, 278)(205, 277, 209, 281, 210, 282)(213, 285, 215, 287, 216, 288)
	L = (1, 148)(2, 153)(3, 156)(4, 160)(5, 163)(6, 162)(7, 145)(8, 168)(9, 170)(10, 171)(11, 146)(12, 167)(13, 177)(14, 147)(15, 149)(16, 165)(17, 184)(18, 179)(19, 186)(20, 187)(21, 150)(22, 189)(23, 151)(24, 174)(25, 152)(26, 172)(27, 193)(28, 154)(29, 196)(30, 155)(31, 157)(32, 200)(33, 181)(34, 201)(35, 158)(36, 164)(37, 159)(38, 161)(39, 205)(40, 206)(41, 207)(42, 180)(43, 199)(44, 183)(45, 209)(46, 166)(47, 176)(48, 212)(49, 169)(50, 213)(51, 194)(52, 215)(53, 173)(54, 178)(55, 175)(56, 204)(57, 210)(58, 185)(59, 192)(60, 182)(61, 198)(62, 202)(63, 211)(64, 188)(65, 208)(66, 190)(67, 191)(68, 216)(69, 203)(70, 195)(71, 214)(72, 197)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1819
Graph:: simple bipartite
	v = 48 e = 144 f = 42
	degree seq :: [ 6^48 ]

E28.1818 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 12})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y1^-1, Y3), (R * Y3^-1)^2, (Y3, Y1^-1), (R * Y3)^2, Y1^-3 * Y3, Y3^4, (R * Y1)^2, Y3 * Y2 * Y3^-1 * R * Y2 * R, Y2 * Y3 * Y1 * Y2 * Y1^-1 * Y3^-1, (Y3 * Y2)^3, Y3 * Y2 * Y3^-1 * Y1^-1 * Y2 * Y1, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1, (Y2 * Y1^-1)^3 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 7, 79, 4, 76, 9, 81, 21, 93, 16, 88, 27, 99, 18, 90, 6, 78, 10, 82, 5, 77)(3, 75, 11, 83, 29, 101, 12, 84, 26, 98, 52, 124, 33, 105, 51, 123, 34, 106, 14, 86, 31, 103, 13, 85)(8, 80, 22, 94, 47, 119, 23, 95, 46, 118, 32, 104, 50, 122, 41, 113, 19, 91, 25, 97, 48, 120, 24, 96)(15, 87, 36, 108, 60, 132, 35, 107, 53, 125, 40, 112, 57, 129, 30, 102, 17, 89, 38, 110, 56, 128, 37, 109)(20, 92, 42, 114, 61, 133, 43, 115, 39, 111, 49, 121, 63, 135, 54, 126, 28, 100, 45, 117, 62, 134, 44, 116)(55, 127, 67, 139, 70, 142, 65, 137, 59, 131, 69, 141, 72, 144, 64, 136, 58, 130, 68, 140, 71, 143, 66, 138)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 159, 231)(149, 221, 161, 233)(150, 222, 163, 235)(151, 223, 164, 236)(153, 225, 170, 242)(154, 226, 172, 244)(155, 227, 174, 246)(156, 228, 176, 248)(157, 229, 166, 238)(158, 230, 179, 251)(160, 232, 183, 255)(162, 234, 178, 250)(165, 237, 190, 262)(167, 239, 193, 265)(168, 240, 186, 258)(169, 241, 195, 267)(171, 243, 197, 269)(173, 245, 199, 271)(175, 247, 202, 274)(177, 249, 203, 275)(180, 252, 188, 260)(181, 253, 196, 268)(182, 254, 198, 270)(184, 256, 187, 259)(185, 257, 189, 261)(191, 263, 208, 280)(192, 264, 209, 281)(194, 266, 210, 282)(200, 272, 213, 285)(201, 273, 211, 283)(204, 276, 212, 284)(205, 277, 214, 286)(206, 278, 215, 287)(207, 279, 216, 288)
	L = (1, 148)(2, 153)(3, 156)(4, 160)(5, 151)(6, 145)(7, 165)(8, 167)(9, 171)(10, 146)(11, 170)(12, 177)(13, 173)(14, 147)(15, 179)(16, 150)(17, 181)(18, 149)(19, 168)(20, 187)(21, 162)(22, 190)(23, 194)(24, 191)(25, 152)(26, 195)(27, 154)(28, 188)(29, 196)(30, 200)(31, 155)(32, 163)(33, 158)(34, 157)(35, 201)(36, 197)(37, 204)(38, 159)(39, 198)(40, 161)(41, 192)(42, 183)(43, 207)(44, 205)(45, 164)(46, 185)(47, 176)(48, 166)(49, 172)(50, 169)(51, 175)(52, 178)(53, 174)(54, 206)(55, 209)(56, 180)(57, 182)(58, 210)(59, 208)(60, 184)(61, 193)(62, 186)(63, 189)(64, 215)(65, 216)(66, 214)(67, 203)(68, 199)(69, 202)(70, 213)(71, 211)(72, 212)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6^4 ), ( 6^24 ) }
Outer automorphisms :: reflexible
Dual of E28.1816
Graph:: bipartite
	v = 42 e = 144 f = 48
	degree seq :: [ 4^36, 24^6 ]

E28.1819 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 12})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^-3 * Y2, Y3^-1 * Y2 * Y3 * Y2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^3, Y1^-1 * Y3^2 * Y1 * Y3 * Y2, Y1^-2 * Y2 * Y3 * Y1^-2, Y2 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y2 * Y3 * Y1 * Y3^-1 * Y2 * Y1^-1, Y3 * Y2 * Y1 * Y3^2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 7, 79, 23, 95, 12, 84, 28, 100, 46, 118, 40, 112, 14, 86, 30, 102, 19, 91, 5, 77)(3, 75, 11, 83, 35, 107, 16, 88, 4, 76, 15, 87, 41, 113, 22, 94, 6, 78, 21, 93, 39, 111, 13, 85)(8, 80, 27, 99, 52, 124, 32, 104, 9, 81, 31, 103, 54, 126, 34, 106, 10, 82, 33, 105, 53, 125, 29, 101)(17, 89, 42, 114, 59, 131, 37, 109, 18, 90, 43, 115, 60, 132, 38, 110, 20, 92, 44, 116, 58, 130, 36, 108)(24, 96, 45, 117, 61, 133, 49, 121, 25, 97, 48, 120, 63, 135, 51, 123, 26, 98, 50, 122, 62, 134, 47, 119)(55, 127, 67, 139, 70, 142, 66, 138, 56, 128, 68, 140, 71, 143, 64, 136, 57, 129, 69, 141, 72, 144, 65, 137)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 156, 228)(149, 221, 161, 233)(150, 222, 158, 230)(151, 223, 168, 240)(153, 225, 172, 244)(154, 226, 174, 246)(155, 227, 180, 252)(157, 229, 171, 243)(159, 231, 181, 253)(160, 232, 175, 247)(162, 234, 167, 239)(163, 235, 170, 242)(164, 236, 184, 256)(165, 237, 182, 254)(166, 238, 177, 249)(169, 241, 190, 262)(173, 245, 189, 261)(176, 248, 192, 264)(178, 250, 194, 266)(179, 251, 199, 271)(183, 255, 201, 273)(185, 257, 200, 272)(186, 258, 195, 267)(187, 259, 191, 263)(188, 260, 193, 265)(196, 268, 208, 280)(197, 269, 210, 282)(198, 270, 209, 281)(202, 274, 211, 283)(203, 275, 212, 284)(204, 276, 213, 285)(205, 277, 214, 286)(206, 278, 216, 288)(207, 279, 215, 287)
	L = (1, 148)(2, 153)(3, 156)(4, 158)(5, 162)(6, 145)(7, 169)(8, 172)(9, 174)(10, 146)(11, 181)(12, 150)(13, 175)(14, 147)(15, 182)(16, 177)(17, 167)(18, 184)(19, 168)(20, 149)(21, 180)(22, 171)(23, 164)(24, 190)(25, 163)(26, 151)(27, 160)(28, 154)(29, 192)(30, 152)(31, 166)(32, 194)(33, 157)(34, 189)(35, 200)(36, 159)(37, 165)(38, 155)(39, 199)(40, 161)(41, 201)(42, 191)(43, 193)(44, 195)(45, 176)(46, 170)(47, 188)(48, 178)(49, 186)(50, 173)(51, 187)(52, 209)(53, 208)(54, 210)(55, 185)(56, 183)(57, 179)(58, 212)(59, 213)(60, 211)(61, 215)(62, 214)(63, 216)(64, 198)(65, 197)(66, 196)(67, 203)(68, 204)(69, 202)(70, 207)(71, 206)(72, 205)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6^4 ), ( 6^24 ) }
Outer automorphisms :: reflexible
Dual of E28.1817
Graph:: bipartite
	v = 42 e = 144 f = 48
	degree seq :: [ 4^36, 24^6 ]

E28.1820 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 12})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (Y3^-1, Y1), (R * Y3)^2, (Y2^-1 * Y3)^2, (R * Y1)^2, (Y2^-1, Y1), Y1^-1 * Y2^4, Y2^-1 * R * Y2 * Y3 * R, (Y2^2 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 8, 80, 14, 86)(4, 76, 9, 81, 17, 89)(6, 78, 10, 82, 18, 90)(7, 79, 11, 83, 19, 91)(12, 84, 24, 96, 21, 93)(13, 85, 25, 97, 34, 106)(15, 87, 26, 98, 35, 107)(16, 88, 27, 99, 39, 111)(20, 92, 28, 100, 40, 112)(22, 94, 29, 101, 41, 113)(23, 95, 30, 102, 42, 114)(31, 103, 48, 120, 44, 116)(32, 104, 49, 121, 45, 117)(33, 105, 50, 122, 59, 131)(36, 108, 37, 109, 51, 123)(38, 110, 52, 124, 62, 134)(43, 115, 53, 125, 47, 119)(46, 118, 54, 126, 63, 135)(55, 127, 67, 139, 65, 137)(56, 128, 57, 129, 66, 138)(58, 130, 60, 132, 68, 140)(61, 133, 64, 136, 69, 141)(70, 142, 71, 143, 72, 144)(145, 217, 147, 219, 156, 228, 154, 226, 146, 218, 152, 224, 168, 240, 162, 234, 149, 221, 158, 230, 165, 237, 150, 222)(148, 220, 160, 232, 181, 253, 170, 242, 153, 225, 171, 243, 195, 267, 179, 251, 161, 233, 183, 255, 180, 252, 159, 231)(151, 223, 164, 236, 187, 259, 174, 246, 155, 227, 172, 244, 197, 269, 186, 258, 163, 235, 184, 256, 191, 263, 167, 239)(157, 229, 177, 249, 201, 273, 193, 265, 169, 241, 194, 266, 210, 282, 189, 261, 178, 250, 203, 275, 200, 272, 176, 248)(166, 238, 188, 260, 209, 281, 198, 270, 173, 245, 175, 247, 199, 271, 207, 279, 185, 257, 192, 264, 211, 283, 190, 262)(182, 254, 205, 277, 214, 286, 212, 284, 196, 268, 208, 280, 215, 287, 202, 274, 206, 278, 213, 285, 216, 288, 204, 276)
	L = (1, 148)(2, 153)(3, 157)(4, 151)(5, 161)(6, 164)(7, 145)(8, 169)(9, 155)(10, 172)(11, 146)(12, 175)(13, 159)(14, 178)(15, 147)(16, 182)(17, 163)(18, 184)(19, 149)(20, 166)(21, 188)(22, 150)(23, 160)(24, 192)(25, 170)(26, 152)(27, 196)(28, 173)(29, 154)(30, 171)(31, 176)(32, 156)(33, 202)(34, 179)(35, 158)(36, 177)(37, 194)(38, 167)(39, 206)(40, 185)(41, 162)(42, 183)(43, 208)(44, 189)(45, 165)(46, 187)(47, 205)(48, 193)(49, 168)(50, 204)(51, 203)(52, 174)(53, 213)(54, 197)(55, 214)(56, 199)(57, 211)(58, 180)(59, 212)(60, 181)(61, 207)(62, 186)(63, 191)(64, 190)(65, 216)(66, 209)(67, 215)(68, 195)(69, 198)(70, 200)(71, 201)(72, 210)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.1811
Graph:: bipartite
	v = 30 e = 144 f = 60
	degree seq :: [ 6^24, 24^6 ]

E28.1821 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 12})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (Y3, Y1), (Y2, Y1^-1), (Y2^-1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, Y2^4 * Y1, Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y2 * Y1, (Y1^-1 * Y3^-1)^3, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 8, 80, 14, 86)(4, 76, 9, 81, 17, 89)(6, 78, 10, 82, 18, 90)(7, 79, 11, 83, 19, 91)(12, 84, 21, 93, 28, 100)(13, 85, 24, 96, 34, 106)(15, 87, 25, 97, 35, 107)(16, 88, 26, 98, 39, 111)(20, 92, 27, 99, 40, 112)(22, 94, 29, 101, 41, 113)(23, 95, 30, 102, 42, 114)(31, 103, 44, 116, 51, 123)(32, 104, 45, 117, 52, 124)(33, 105, 48, 120, 59, 131)(36, 108, 49, 121, 37, 109)(38, 110, 50, 122, 62, 134)(43, 115, 47, 119, 54, 126)(46, 118, 53, 125, 63, 135)(55, 127, 65, 137, 67, 139)(56, 128, 66, 138, 57, 129)(58, 130, 68, 140, 60, 132)(61, 133, 69, 141, 64, 136)(70, 142, 72, 144, 71, 143)(145, 217, 147, 219, 156, 228, 162, 234, 149, 221, 158, 230, 172, 244, 154, 226, 146, 218, 152, 224, 165, 237, 150, 222)(148, 220, 160, 232, 181, 253, 179, 251, 161, 233, 183, 255, 193, 265, 169, 241, 153, 225, 170, 242, 180, 252, 159, 231)(151, 223, 164, 236, 187, 259, 186, 258, 163, 235, 184, 256, 198, 270, 174, 246, 155, 227, 171, 243, 191, 263, 167, 239)(157, 229, 177, 249, 201, 273, 196, 268, 178, 250, 203, 275, 210, 282, 189, 261, 168, 240, 192, 264, 200, 272, 176, 248)(166, 238, 188, 260, 209, 281, 207, 279, 185, 257, 175, 247, 199, 271, 197, 269, 173, 245, 195, 267, 211, 283, 190, 262)(182, 254, 205, 277, 214, 286, 212, 284, 206, 278, 208, 280, 215, 287, 202, 274, 194, 266, 213, 285, 216, 288, 204, 276)
	L = (1, 148)(2, 153)(3, 157)(4, 151)(5, 161)(6, 164)(7, 145)(8, 168)(9, 155)(10, 171)(11, 146)(12, 175)(13, 159)(14, 178)(15, 147)(16, 182)(17, 163)(18, 184)(19, 149)(20, 166)(21, 188)(22, 150)(23, 160)(24, 169)(25, 152)(26, 194)(27, 173)(28, 195)(29, 154)(30, 170)(31, 176)(32, 156)(33, 202)(34, 179)(35, 158)(36, 177)(37, 203)(38, 167)(39, 206)(40, 185)(41, 162)(42, 183)(43, 208)(44, 189)(45, 165)(46, 187)(47, 205)(48, 212)(49, 192)(50, 174)(51, 196)(52, 172)(53, 191)(54, 213)(55, 214)(56, 199)(57, 211)(58, 180)(59, 204)(60, 181)(61, 197)(62, 186)(63, 198)(64, 190)(65, 216)(66, 209)(67, 215)(68, 193)(69, 207)(70, 200)(71, 201)(72, 210)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.1808
Graph:: bipartite
	v = 30 e = 144 f = 60
	degree seq :: [ 6^24, 24^6 ]

E28.1822 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 12})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (Y3, Y1), (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y3)^2, Y2 * Y3 * R * Y2^-1 * R, Y2 * Y1^-1 * Y3 * Y2 * Y1, Y3^-1 * Y2^-1 * Y1 * Y3 * Y2 * Y1^-1, Y2^-1 * Y1 * Y3 * Y2^-3, (Y1 * Y2^-1 * Y3^-1 * Y2^-1)^2 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 12, 84, 15, 87)(4, 76, 9, 81, 18, 90)(6, 78, 22, 94, 24, 96)(7, 79, 11, 83, 21, 93)(8, 80, 28, 100, 26, 98)(10, 82, 32, 104, 17, 89)(13, 85, 38, 110, 40, 112)(14, 86, 31, 103, 20, 92)(16, 88, 37, 109, 45, 117)(19, 91, 27, 99, 35, 107)(23, 95, 30, 102, 51, 123)(25, 97, 41, 113, 53, 125)(29, 101, 56, 128, 58, 130)(33, 105, 48, 120, 47, 119)(34, 106, 50, 122, 60, 132)(36, 108, 61, 133, 42, 114)(39, 111, 55, 127, 44, 116)(43, 115, 46, 118, 63, 135)(49, 121, 59, 131, 62, 134)(52, 124, 54, 126, 57, 129)(64, 136, 70, 142, 65, 137)(66, 138, 67, 139, 71, 143)(68, 140, 72, 144, 69, 141)(145, 217, 147, 219, 157, 229, 174, 246, 153, 225, 175, 247, 199, 271, 172, 244, 165, 237, 189, 261, 169, 241, 150, 222)(146, 218, 152, 224, 173, 245, 192, 264, 162, 234, 168, 240, 196, 268, 171, 243, 151, 223, 167, 239, 178, 250, 154, 226)(148, 220, 161, 233, 180, 252, 156, 228, 155, 227, 177, 249, 193, 265, 164, 236, 149, 221, 163, 235, 190, 262, 160, 232)(158, 230, 186, 258, 208, 280, 182, 254, 181, 253, 206, 278, 212, 284, 188, 260, 159, 231, 187, 259, 211, 283, 185, 257)(166, 238, 183, 255, 209, 281, 200, 272, 195, 267, 197, 269, 213, 285, 198, 270, 170, 242, 184, 256, 210, 282, 194, 266)(176, 248, 201, 273, 214, 286, 207, 279, 191, 263, 204, 276, 216, 288, 205, 277, 179, 251, 202, 274, 215, 287, 203, 275)
	L = (1, 148)(2, 153)(3, 158)(4, 151)(5, 162)(6, 167)(7, 145)(8, 166)(9, 155)(10, 177)(11, 146)(12, 175)(13, 183)(14, 160)(15, 164)(16, 147)(17, 191)(18, 165)(19, 176)(20, 189)(21, 149)(22, 174)(23, 170)(24, 195)(25, 184)(26, 150)(27, 161)(28, 168)(29, 201)(30, 152)(31, 181)(32, 192)(33, 179)(34, 202)(35, 154)(36, 206)(37, 156)(38, 199)(39, 185)(40, 188)(41, 157)(42, 203)(43, 205)(44, 169)(45, 159)(46, 186)(47, 171)(48, 163)(49, 187)(50, 173)(51, 172)(52, 204)(53, 182)(54, 178)(55, 197)(56, 196)(57, 194)(58, 198)(59, 190)(60, 200)(61, 193)(62, 207)(63, 180)(64, 213)(65, 216)(66, 214)(67, 209)(68, 210)(69, 215)(70, 212)(71, 208)(72, 211)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.1806
Graph:: bipartite
	v = 30 e = 144 f = 60
	degree seq :: [ 6^24, 24^6 ]

E28.1823 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 12})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, (Y2 * Y3^-1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y1)^2, Y2 * Y1 * Y3 * Y2 * Y1^-1, Y2 * Y3^-1 * Y2^-3 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3 * Y2^8 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 12, 84, 15, 87)(4, 76, 9, 81, 18, 90)(6, 78, 22, 94, 24, 96)(7, 79, 11, 83, 21, 93)(8, 80, 28, 100, 27, 99)(10, 82, 32, 104, 14, 86)(13, 85, 38, 110, 41, 113)(16, 88, 33, 105, 45, 117)(17, 89, 30, 102, 20, 92)(19, 91, 26, 98, 35, 107)(23, 95, 51, 123, 39, 111)(25, 97, 53, 125, 42, 114)(29, 101, 36, 108, 57, 129)(31, 103, 48, 120, 46, 118)(34, 106, 61, 133, 58, 130)(37, 109, 60, 132, 40, 112)(43, 115, 56, 128, 44, 116)(47, 119, 55, 127, 68, 140)(49, 121, 67, 139, 52, 124)(50, 122, 59, 131, 54, 126)(62, 134, 64, 136, 70, 142)(63, 135, 69, 141, 71, 143)(65, 137, 72, 144, 66, 138)(145, 217, 147, 219, 157, 229, 183, 255, 162, 234, 176, 248, 204, 276, 179, 251, 155, 227, 177, 249, 169, 241, 150, 222)(146, 218, 152, 224, 173, 245, 160, 232, 148, 220, 161, 233, 188, 260, 159, 231, 165, 237, 192, 264, 178, 250, 154, 226)(149, 221, 163, 235, 191, 263, 175, 247, 153, 225, 166, 238, 194, 266, 171, 243, 151, 223, 167, 239, 193, 265, 164, 236)(156, 228, 180, 252, 206, 278, 186, 258, 158, 230, 187, 259, 210, 282, 185, 257, 189, 261, 205, 277, 207, 279, 181, 253)(168, 240, 184, 256, 209, 281, 212, 284, 195, 267, 197, 269, 213, 285, 198, 270, 170, 242, 182, 254, 208, 280, 196, 268)(172, 244, 199, 271, 214, 286, 202, 274, 174, 246, 203, 275, 216, 288, 201, 273, 190, 262, 211, 283, 215, 287, 200, 272)
	L = (1, 148)(2, 153)(3, 158)(4, 151)(5, 162)(6, 167)(7, 145)(8, 174)(9, 155)(10, 177)(11, 146)(12, 154)(13, 184)(14, 160)(15, 176)(16, 147)(17, 190)(18, 165)(19, 168)(20, 192)(21, 149)(22, 195)(23, 170)(24, 183)(25, 182)(26, 150)(27, 161)(28, 164)(29, 187)(30, 175)(31, 152)(32, 189)(33, 156)(34, 180)(35, 166)(36, 200)(37, 169)(38, 181)(39, 163)(40, 186)(41, 204)(42, 157)(43, 202)(44, 205)(45, 159)(46, 171)(47, 203)(48, 172)(49, 199)(50, 211)(51, 179)(52, 191)(53, 185)(54, 193)(55, 198)(56, 178)(57, 188)(58, 173)(59, 196)(60, 197)(61, 201)(62, 209)(63, 208)(64, 216)(65, 215)(66, 213)(67, 212)(68, 194)(69, 214)(70, 210)(71, 206)(72, 207)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.1812
Graph:: bipartite
	v = 30 e = 144 f = 60
	degree seq :: [ 6^24, 24^6 ]

E28.1824 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 12})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, (Y2 * Y3^-1)^2, Y2^-1 * Y3^-1 * Y1 * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y2 * Y3 * Y1 * Y2 * Y1^-1, Y2 * Y1^-1 * Y3^-1 * Y2^-1 * Y3, Y2^-1 * R * Y2 * R * Y3^-1, Y3 * Y1^-1 * Y3^-1 * Y2 * Y1^-1 * Y2^-1, (Y3^-1 * Y1^-1)^3, Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3 * Y2 * Y1, Y2 * Y1 * Y3^-1 * Y1 * Y3 * Y2^-1 * Y1^-1, Y3^-1 * Y1 * Y2^10 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 12, 84, 15, 87)(4, 76, 17, 89, 18, 90)(6, 78, 23, 95, 25, 97)(7, 79, 13, 85, 26, 98)(8, 80, 28, 100, 27, 99)(9, 81, 32, 104, 33, 105)(10, 82, 34, 106, 14, 86)(11, 83, 29, 101, 36, 108)(16, 88, 42, 114, 46, 118)(19, 91, 50, 122, 37, 109)(20, 92, 53, 125, 54, 126)(21, 93, 55, 127, 30, 102)(22, 94, 51, 123, 48, 120)(24, 96, 56, 128, 35, 107)(31, 103, 58, 130, 41, 113)(38, 110, 65, 137, 47, 119)(39, 111, 49, 121, 66, 138)(40, 112, 71, 143, 43, 115)(44, 116, 68, 140, 61, 133)(45, 117, 57, 129, 67, 139)(52, 124, 70, 142, 62, 134)(59, 131, 72, 144, 64, 136)(60, 132, 63, 135, 69, 141)(145, 217, 147, 219, 157, 229, 186, 258, 212, 284, 174, 246, 211, 283, 172, 244, 209, 281, 196, 268, 164, 236, 150, 222)(146, 218, 152, 224, 173, 245, 202, 274, 205, 277, 169, 241, 204, 276, 194, 266, 191, 263, 160, 232, 148, 220, 154, 226)(149, 221, 163, 235, 195, 267, 214, 286, 188, 260, 158, 230, 184, 256, 156, 228, 182, 254, 175, 247, 153, 225, 165, 237)(151, 223, 168, 240, 161, 233, 167, 239, 201, 273, 216, 288, 180, 252, 190, 262, 198, 270, 210, 282, 207, 279, 171, 243)(155, 227, 179, 251, 176, 248, 178, 250, 213, 285, 203, 275, 192, 264, 185, 257, 162, 234, 193, 265, 215, 287, 181, 253)(159, 231, 166, 238, 200, 272, 197, 269, 199, 271, 187, 259, 208, 280, 170, 242, 206, 278, 177, 249, 183, 255, 189, 261)
	L = (1, 148)(2, 153)(3, 158)(4, 151)(5, 164)(6, 168)(7, 145)(8, 174)(9, 155)(10, 179)(11, 146)(12, 183)(13, 187)(14, 160)(15, 150)(16, 147)(17, 192)(18, 191)(19, 169)(20, 166)(21, 200)(22, 149)(23, 202)(24, 159)(25, 196)(26, 207)(27, 154)(28, 210)(29, 201)(30, 175)(31, 152)(32, 170)(33, 182)(34, 214)(35, 171)(36, 215)(37, 165)(38, 211)(39, 185)(40, 162)(41, 156)(42, 216)(43, 188)(44, 157)(45, 161)(46, 194)(47, 184)(48, 189)(49, 190)(50, 193)(51, 213)(52, 163)(53, 180)(54, 209)(55, 186)(56, 181)(57, 212)(58, 203)(59, 167)(60, 198)(61, 195)(62, 172)(63, 176)(64, 178)(65, 204)(66, 206)(67, 177)(68, 173)(69, 205)(70, 208)(71, 197)(72, 199)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.1814
Graph:: bipartite
	v = 30 e = 144 f = 60
	degree seq :: [ 6^24, 24^6 ]

E28.1825 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 12})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (R * Y3)^2, (Y3^-1, Y1), (Y2^-1 * Y3)^2, (R * Y1)^2, Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1, (R * Y2 * Y3^-1)^2, Y2^2 * Y3 * Y1 * Y2^2, Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-1, (Y1 * Y2^-1)^4, (Y2^2 * Y1^-1)^3 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 12, 84, 15, 87)(4, 76, 9, 81, 18, 90)(6, 78, 22, 94, 24, 96)(7, 79, 11, 83, 21, 93)(8, 80, 28, 100, 26, 98)(10, 82, 32, 104, 17, 89)(13, 85, 38, 110, 40, 112)(14, 86, 31, 103, 20, 92)(16, 88, 37, 109, 45, 117)(19, 91, 27, 99, 35, 107)(23, 95, 30, 102, 52, 124)(25, 97, 44, 116, 39, 111)(29, 101, 55, 127, 57, 129)(33, 105, 49, 121, 48, 120)(34, 106, 54, 126, 56, 128)(36, 108, 62, 134, 42, 114)(41, 113, 53, 125, 58, 130)(43, 115, 46, 118, 59, 131)(47, 119, 61, 133, 63, 135)(50, 122, 60, 132, 51, 123)(64, 136, 71, 143, 65, 137)(66, 138, 67, 139, 72, 144)(68, 140, 70, 142, 69, 141)(145, 217, 147, 219, 157, 229, 172, 244, 165, 237, 189, 261, 202, 274, 174, 246, 153, 225, 175, 247, 169, 241, 150, 222)(146, 218, 152, 224, 173, 245, 171, 243, 151, 223, 167, 239, 195, 267, 193, 265, 162, 234, 168, 240, 178, 250, 154, 226)(148, 220, 161, 233, 191, 263, 164, 236, 149, 221, 163, 235, 180, 252, 156, 228, 155, 227, 177, 249, 190, 262, 160, 232)(158, 230, 186, 258, 212, 284, 188, 260, 159, 231, 187, 259, 208, 280, 182, 254, 181, 253, 207, 279, 211, 283, 185, 257)(166, 238, 184, 256, 210, 282, 198, 270, 170, 242, 197, 269, 213, 285, 199, 271, 196, 268, 183, 255, 209, 281, 194, 266)(176, 248, 201, 273, 215, 287, 205, 277, 179, 251, 204, 276, 216, 288, 206, 278, 192, 264, 200, 272, 214, 286, 203, 275)
	L = (1, 148)(2, 153)(3, 158)(4, 151)(5, 162)(6, 167)(7, 145)(8, 166)(9, 155)(10, 177)(11, 146)(12, 175)(13, 183)(14, 160)(15, 164)(16, 147)(17, 192)(18, 165)(19, 176)(20, 189)(21, 149)(22, 174)(23, 170)(24, 196)(25, 197)(26, 150)(27, 161)(28, 168)(29, 200)(30, 152)(31, 181)(32, 193)(33, 179)(34, 204)(35, 154)(36, 207)(37, 156)(38, 169)(39, 185)(40, 188)(41, 157)(42, 205)(43, 206)(44, 202)(45, 159)(46, 186)(47, 187)(48, 171)(49, 163)(50, 173)(51, 201)(52, 172)(53, 182)(54, 195)(55, 178)(56, 194)(57, 198)(58, 184)(59, 180)(60, 199)(61, 190)(62, 191)(63, 203)(64, 213)(65, 214)(66, 215)(67, 209)(68, 210)(69, 216)(70, 211)(71, 212)(72, 208)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.1807
Graph:: bipartite
	v = 30 e = 144 f = 60
	degree seq :: [ 6^24, 24^6 ]

E28.1826 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 12})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3, Y1^-1 * Y3^-2, Y1^3, (R * Y3)^2, Y2 * Y3^-1 * Y2 * Y1^-1, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1 * Y2)^3, Y2^5 * Y3^-1 * Y2^-3 * Y1^-1, Y1 * Y2^3 * Y3^-1 * Y2^3 * Y3 * Y2^2, Y2 * Y1 * Y2^-1 * Y1 * Y2^3 * Y1^-1 * Y2^-3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 4, 76)(3, 75, 8, 80, 7, 79)(5, 77, 10, 82, 12, 84)(6, 78, 14, 86, 11, 83)(9, 81, 19, 91, 18, 90)(13, 85, 23, 95, 25, 97)(15, 87, 29, 101, 28, 100)(16, 88, 17, 89, 31, 103)(20, 92, 37, 109, 36, 108)(21, 93, 39, 111, 24, 96)(22, 94, 27, 99, 41, 113)(26, 98, 45, 117, 47, 119)(30, 102, 52, 124, 51, 123)(32, 104, 54, 126, 56, 128)(33, 105, 44, 116, 55, 127)(34, 106, 35, 107, 49, 121)(38, 110, 53, 125, 62, 134)(40, 112, 64, 136, 63, 135)(42, 114, 65, 137, 66, 138)(43, 115, 50, 122, 46, 118)(48, 120, 57, 129, 67, 139)(58, 130, 72, 144, 68, 140)(59, 131, 70, 142, 69, 141)(60, 132, 61, 133, 71, 143)(145, 217, 147, 219, 153, 225, 164, 236, 182, 254, 196, 268, 216, 288, 210, 282, 192, 264, 170, 242, 157, 229, 149, 221)(146, 218, 150, 222, 159, 231, 174, 246, 197, 269, 208, 280, 213, 285, 191, 263, 201, 273, 176, 248, 160, 232, 151, 223)(148, 220, 154, 226, 165, 237, 184, 256, 206, 278, 181, 253, 205, 277, 200, 272, 211, 283, 186, 258, 166, 238, 155, 227)(152, 224, 161, 233, 177, 249, 202, 274, 195, 267, 173, 245, 190, 262, 169, 241, 189, 261, 203, 275, 178, 250, 162, 234)(156, 228, 167, 239, 187, 259, 204, 276, 180, 252, 163, 235, 179, 251, 185, 257, 209, 281, 212, 284, 188, 260, 168, 240)(158, 230, 171, 243, 193, 265, 214, 286, 207, 279, 183, 255, 199, 271, 175, 247, 198, 270, 215, 287, 194, 266, 172, 244)
	L = (1, 146)(2, 148)(3, 152)(4, 145)(5, 154)(6, 158)(7, 147)(8, 151)(9, 163)(10, 156)(11, 150)(12, 149)(13, 167)(14, 155)(15, 173)(16, 161)(17, 175)(18, 153)(19, 162)(20, 181)(21, 183)(22, 171)(23, 169)(24, 165)(25, 157)(26, 189)(27, 185)(28, 159)(29, 172)(30, 196)(31, 160)(32, 198)(33, 188)(34, 179)(35, 193)(36, 164)(37, 180)(38, 197)(39, 168)(40, 208)(41, 166)(42, 209)(43, 194)(44, 199)(45, 191)(46, 187)(47, 170)(48, 201)(49, 178)(50, 190)(51, 174)(52, 195)(53, 206)(54, 200)(55, 177)(56, 176)(57, 211)(58, 216)(59, 214)(60, 205)(61, 215)(62, 182)(63, 184)(64, 207)(65, 210)(66, 186)(67, 192)(68, 202)(69, 203)(70, 213)(71, 204)(72, 212)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.1813
Graph:: bipartite
	v = 30 e = 144 f = 60
	degree seq :: [ 6^24, 24^6 ]

E28.1827 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 12})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y1^-1), (Y2^-1 * Y3)^2, Y2 * Y1^-1 * Y2 * Y3 * Y1, (R * Y2 * Y3^-1)^2, Y2^3 * Y1 * Y2^-1 * Y1, Y3 * Y2^-2 * Y3^-1 * Y1 * Y2^2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 12, 84, 15, 87)(4, 76, 9, 81, 18, 90)(6, 78, 22, 94, 24, 96)(7, 79, 11, 83, 21, 93)(8, 80, 28, 100, 27, 99)(10, 82, 32, 104, 14, 86)(13, 85, 38, 110, 40, 112)(16, 88, 33, 105, 43, 115)(17, 89, 30, 102, 20, 92)(19, 91, 26, 98, 35, 107)(23, 95, 50, 122, 46, 118)(25, 97, 39, 111, 37, 109)(29, 101, 42, 114, 58, 130)(31, 103, 48, 120, 45, 117)(34, 106, 57, 129, 56, 128)(36, 108, 59, 131, 44, 116)(41, 113, 61, 133, 53, 125)(47, 119, 60, 132, 68, 140)(49, 121, 67, 139, 54, 126)(51, 123, 55, 127, 52, 124)(62, 134, 65, 137, 71, 143)(63, 135, 69, 141, 72, 144)(64, 136, 70, 142, 66, 138)(145, 217, 147, 219, 157, 229, 179, 251, 155, 227, 177, 249, 205, 277, 190, 262, 162, 234, 176, 248, 169, 241, 150, 222)(146, 218, 152, 224, 173, 245, 159, 231, 165, 237, 192, 264, 188, 260, 160, 232, 148, 220, 161, 233, 178, 250, 154, 226)(149, 221, 163, 235, 191, 263, 171, 243, 151, 223, 167, 239, 195, 267, 175, 247, 153, 225, 166, 238, 193, 265, 164, 236)(156, 228, 180, 252, 206, 278, 184, 256, 187, 259, 201, 273, 210, 282, 185, 257, 158, 230, 186, 258, 207, 279, 181, 253)(168, 240, 182, 254, 208, 280, 198, 270, 170, 242, 197, 269, 213, 285, 212, 284, 194, 266, 183, 255, 209, 281, 196, 268)(172, 244, 199, 271, 214, 286, 202, 274, 189, 261, 211, 283, 216, 288, 203, 275, 174, 246, 204, 276, 215, 287, 200, 272)
	L = (1, 148)(2, 153)(3, 158)(4, 151)(5, 162)(6, 167)(7, 145)(8, 174)(9, 155)(10, 177)(11, 146)(12, 154)(13, 183)(14, 160)(15, 176)(16, 147)(17, 189)(18, 165)(19, 168)(20, 192)(21, 149)(22, 194)(23, 170)(24, 190)(25, 197)(26, 150)(27, 161)(28, 164)(29, 201)(30, 175)(31, 152)(32, 187)(33, 156)(34, 180)(35, 166)(36, 202)(37, 205)(38, 181)(39, 185)(40, 169)(41, 157)(42, 200)(43, 159)(44, 186)(45, 171)(46, 163)(47, 211)(48, 172)(49, 199)(50, 179)(51, 204)(52, 191)(53, 184)(54, 195)(55, 212)(56, 188)(57, 203)(58, 178)(59, 173)(60, 198)(61, 182)(62, 213)(63, 208)(64, 215)(65, 216)(66, 209)(67, 196)(68, 193)(69, 214)(70, 206)(71, 207)(72, 210)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.1809
Graph:: bipartite
	v = 30 e = 144 f = 60
	degree seq :: [ 6^24, 24^6 ]

E28.1828 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 12})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (Y3^-1 * Y1)^2, (Y3 * Y1^-1)^2, (Y2 * Y3^-1)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y3 * Y1 * Y2 * Y1^-1, Y2^-1 * R * Y2 * R * Y3^-1, (Y1^-1 * R * Y2^-1)^2, Y2^3 * Y1^-1 * Y2^-1 * Y1^-1, (Y1^-1 * Y2^-1 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 12, 84, 15, 87)(4, 76, 17, 89, 11, 83)(6, 78, 23, 95, 25, 97)(7, 79, 20, 92, 28, 100)(8, 80, 30, 102, 29, 101)(9, 81, 34, 106, 22, 94)(10, 82, 36, 108, 14, 86)(13, 85, 44, 116, 46, 118)(16, 88, 49, 121, 39, 111)(18, 90, 54, 126, 33, 105)(19, 91, 57, 129, 40, 112)(21, 93, 59, 131, 32, 104)(24, 96, 62, 134, 61, 133)(26, 98, 50, 122, 65, 137)(27, 99, 58, 130, 35, 107)(31, 103, 63, 135, 68, 140)(37, 109, 51, 123, 42, 114)(38, 110, 66, 138, 71, 143)(41, 113, 67, 139, 52, 124)(43, 115, 70, 142, 45, 117)(47, 119, 69, 141, 55, 127)(48, 120, 72, 144, 64, 136)(53, 125, 60, 132, 56, 128)(145, 217, 147, 219, 157, 229, 174, 246, 211, 283, 202, 274, 164, 236, 193, 265, 213, 285, 176, 248, 170, 242, 150, 222)(146, 218, 152, 224, 175, 247, 201, 273, 196, 268, 160, 232, 148, 220, 162, 234, 199, 271, 169, 241, 182, 254, 154, 226)(149, 221, 163, 235, 187, 259, 156, 228, 185, 257, 177, 249, 153, 225, 179, 251, 191, 263, 158, 230, 192, 264, 165, 237)(151, 223, 168, 240, 207, 279, 183, 255, 209, 281, 197, 269, 161, 233, 167, 239, 190, 262, 195, 267, 210, 282, 173, 245)(155, 227, 181, 253, 214, 286, 198, 270, 215, 287, 205, 277, 178, 250, 180, 252, 212, 284, 200, 272, 216, 288, 184, 256)(159, 231, 166, 238, 204, 276, 188, 260, 171, 243, 208, 280, 186, 258, 172, 244, 203, 275, 189, 261, 206, 278, 194, 266)
	L = (1, 148)(2, 153)(3, 158)(4, 151)(5, 164)(6, 168)(7, 145)(8, 176)(9, 155)(10, 181)(11, 146)(12, 186)(13, 189)(14, 160)(15, 193)(16, 147)(17, 178)(18, 200)(19, 169)(20, 166)(21, 204)(22, 149)(23, 201)(24, 171)(25, 202)(26, 208)(27, 150)(28, 161)(29, 162)(30, 197)(31, 190)(32, 177)(33, 152)(34, 172)(35, 206)(36, 156)(37, 183)(38, 209)(39, 154)(40, 179)(41, 170)(42, 180)(43, 212)(44, 207)(45, 191)(46, 213)(47, 157)(48, 215)(49, 195)(50, 210)(51, 159)(52, 192)(53, 203)(54, 165)(55, 187)(56, 173)(57, 205)(58, 163)(59, 174)(60, 198)(61, 167)(62, 184)(63, 214)(64, 185)(65, 211)(66, 216)(67, 182)(68, 199)(69, 175)(70, 188)(71, 196)(72, 194)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.1815
Graph:: bipartite
	v = 30 e = 144 f = 60
	degree seq :: [ 6^24, 24^6 ]

E28.1829 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 12})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, Y2^2 * Y3^-1 * Y1, Y2^-1 * Y1^-1 * Y2 * Y3^-1, Y2^-2 * Y1^-1 * Y3, (R * Y1)^2, Y2 * Y3^-1 * Y2^-1 * Y1^-1, (Y2^-1 * Y3)^2, (R * Y3)^2, Y2^-1 * Y1 * R * Y2 * R, (Y3^-1 * Y1^-1)^3, Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y1 * Y3 * Y1, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y2^-2, Y2 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y3 * Y1, Y3 * Y1 * Y2^-2 * Y3^-1 * Y2^2 * Y1^-1, Y3 * Y1 * Y3^-1 * Y2 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y2 * Y1^-1 * Y2^8 * Y3 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 12, 84, 15, 87)(4, 76, 16, 88, 18, 90)(6, 78, 20, 92, 8, 80)(7, 79, 22, 94, 24, 96)(9, 81, 25, 97, 27, 99)(10, 82, 28, 100, 14, 86)(11, 83, 30, 102, 32, 104)(13, 85, 36, 108, 38, 110)(17, 89, 43, 115, 46, 118)(19, 91, 34, 106, 40, 112)(21, 93, 48, 120, 50, 122)(23, 95, 52, 124, 54, 126)(26, 98, 55, 127, 57, 129)(29, 101, 39, 111, 60, 132)(31, 103, 62, 134, 64, 136)(33, 105, 45, 117, 41, 113)(35, 107, 66, 138, 68, 140)(37, 109, 69, 141, 71, 143)(42, 114, 61, 133, 58, 130)(44, 116, 56, 128, 70, 142)(47, 119, 59, 131, 51, 123)(49, 121, 65, 137, 72, 144)(53, 125, 63, 135, 67, 139)(145, 217, 147, 219, 157, 229, 181, 253, 214, 286, 201, 273, 202, 274, 208, 280, 207, 279, 196, 268, 166, 238, 150, 222)(146, 218, 152, 224, 148, 220, 161, 233, 188, 260, 215, 287, 216, 288, 212, 284, 211, 283, 206, 278, 174, 246, 154, 226)(149, 221, 158, 230, 153, 225, 170, 242, 200, 272, 190, 262, 191, 263, 198, 270, 197, 269, 210, 282, 178, 250, 156, 228)(151, 223, 165, 237, 193, 265, 213, 285, 182, 254, 183, 255, 176, 248, 175, 247, 205, 277, 185, 257, 160, 232, 164, 236)(155, 227, 173, 245, 203, 275, 187, 259, 162, 234, 189, 261, 184, 256, 179, 251, 209, 281, 194, 266, 169, 241, 172, 244)(159, 231, 163, 235, 177, 249, 186, 258, 199, 271, 171, 243, 192, 264, 168, 240, 167, 239, 195, 267, 204, 276, 180, 252)
	L = (1, 148)(2, 153)(3, 158)(4, 151)(5, 157)(6, 165)(7, 145)(8, 147)(9, 155)(10, 173)(11, 146)(12, 177)(13, 163)(14, 152)(15, 181)(16, 184)(17, 189)(18, 188)(19, 149)(20, 161)(21, 167)(22, 195)(23, 150)(24, 193)(25, 168)(26, 192)(27, 200)(28, 170)(29, 175)(30, 205)(31, 154)(32, 203)(33, 179)(34, 209)(35, 156)(36, 176)(37, 183)(38, 214)(39, 159)(40, 186)(41, 199)(42, 160)(43, 198)(44, 191)(45, 164)(46, 215)(47, 162)(48, 172)(49, 169)(50, 213)(51, 197)(52, 210)(53, 166)(54, 204)(55, 208)(56, 202)(57, 190)(58, 171)(59, 180)(60, 187)(61, 207)(62, 196)(63, 174)(64, 185)(65, 211)(66, 206)(67, 178)(68, 194)(69, 212)(70, 216)(71, 201)(72, 182)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.1810
Graph:: bipartite
	v = 30 e = 144 f = 60
	degree seq :: [ 6^24, 24^6 ]

E28.1830 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x D24 (small group id <72, 28>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y2 * Y3^-1 * Y2, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, Y3^6, Y3 * Y1 * Y3 * Y1 * Y2 * Y3^-2 * Y1 * Y3^-1 * Y1 * Y3 * Y2, Y2 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3, (Y2 * Y1 * Y3^-1 * Y1 * Y3^-3)^3 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 6, 78)(4, 76, 11, 83)(5, 77, 13, 85)(7, 79, 17, 89)(8, 80, 19, 91)(9, 81, 21, 93)(10, 82, 23, 95)(12, 84, 18, 90)(14, 86, 20, 92)(15, 87, 29, 101)(16, 88, 31, 103)(22, 94, 30, 102)(24, 96, 32, 104)(25, 97, 41, 113)(26, 98, 43, 115)(27, 99, 42, 114)(28, 100, 44, 116)(33, 105, 49, 121)(34, 106, 51, 123)(35, 107, 50, 122)(36, 108, 52, 124)(37, 109, 53, 125)(38, 110, 55, 127)(39, 111, 54, 126)(40, 112, 56, 128)(45, 117, 60, 132)(46, 118, 62, 134)(47, 119, 61, 133)(48, 120, 63, 135)(57, 129, 70, 142)(58, 130, 71, 143)(59, 131, 72, 144)(64, 136, 67, 139)(65, 137, 68, 140)(66, 138, 69, 141)(145, 217, 147, 219)(146, 218, 150, 222)(148, 220, 153, 225)(149, 221, 154, 226)(151, 223, 159, 231)(152, 224, 160, 232)(155, 227, 165, 237)(156, 228, 166, 238)(157, 229, 167, 239)(158, 230, 168, 240)(161, 233, 173, 245)(162, 234, 174, 246)(163, 235, 175, 247)(164, 236, 176, 248)(169, 241, 181, 253)(170, 242, 182, 254)(171, 243, 183, 255)(172, 244, 184, 256)(177, 249, 189, 261)(178, 250, 190, 262)(179, 251, 191, 263)(180, 252, 192, 264)(185, 257, 197, 269)(186, 258, 198, 270)(187, 259, 199, 271)(188, 260, 200, 272)(193, 265, 204, 276)(194, 266, 205, 277)(195, 267, 206, 278)(196, 268, 207, 279)(201, 273, 211, 283)(202, 274, 212, 284)(203, 275, 213, 285)(208, 280, 214, 286)(209, 281, 215, 287)(210, 282, 216, 288)
	L = (1, 148)(2, 151)(3, 153)(4, 156)(5, 145)(6, 159)(7, 162)(8, 146)(9, 166)(10, 147)(11, 169)(12, 171)(13, 170)(14, 149)(15, 174)(16, 150)(17, 177)(18, 179)(19, 178)(20, 152)(21, 181)(22, 183)(23, 182)(24, 154)(25, 186)(26, 155)(27, 158)(28, 157)(29, 189)(30, 191)(31, 190)(32, 160)(33, 194)(34, 161)(35, 164)(36, 163)(37, 198)(38, 165)(39, 168)(40, 167)(41, 201)(42, 172)(43, 202)(44, 203)(45, 205)(46, 173)(47, 176)(48, 175)(49, 208)(50, 180)(51, 209)(52, 210)(53, 211)(54, 184)(55, 212)(56, 213)(57, 188)(58, 185)(59, 187)(60, 214)(61, 192)(62, 215)(63, 216)(64, 196)(65, 193)(66, 195)(67, 200)(68, 197)(69, 199)(70, 207)(71, 204)(72, 206)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1871
Graph:: simple bipartite
	v = 72 e = 144 f = 18
	degree seq :: [ 4^72 ]

E28.1831 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y2 * Y3^-1 * Y2, (Y1 * Y2)^2, (Y3^-1 * Y1 * Y3^-1)^2, Y3^6, Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1, Y2 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1, (Y2 * Y3 * Y1 * Y3 * Y1)^3 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 6, 78)(4, 76, 11, 83)(5, 77, 13, 85)(7, 79, 17, 89)(8, 80, 19, 91)(9, 81, 21, 93)(10, 82, 23, 95)(12, 84, 20, 92)(14, 86, 18, 90)(15, 87, 29, 101)(16, 88, 31, 103)(22, 94, 32, 104)(24, 96, 30, 102)(25, 97, 41, 113)(26, 98, 42, 114)(27, 99, 43, 115)(28, 100, 44, 116)(33, 105, 49, 121)(34, 106, 50, 122)(35, 107, 51, 123)(36, 108, 52, 124)(37, 109, 53, 125)(38, 110, 54, 126)(39, 111, 55, 127)(40, 112, 56, 128)(45, 117, 60, 132)(46, 118, 61, 133)(47, 119, 62, 134)(48, 120, 63, 135)(57, 129, 70, 142)(58, 130, 71, 143)(59, 131, 72, 144)(64, 136, 68, 140)(65, 137, 67, 139)(66, 138, 69, 141)(145, 217, 147, 219)(146, 218, 150, 222)(148, 220, 153, 225)(149, 221, 154, 226)(151, 223, 159, 231)(152, 224, 160, 232)(155, 227, 165, 237)(156, 228, 166, 238)(157, 229, 167, 239)(158, 230, 168, 240)(161, 233, 173, 245)(162, 234, 174, 246)(163, 235, 175, 247)(164, 236, 176, 248)(169, 241, 181, 253)(170, 242, 182, 254)(171, 243, 183, 255)(172, 244, 184, 256)(177, 249, 189, 261)(178, 250, 190, 262)(179, 251, 191, 263)(180, 252, 192, 264)(185, 257, 197, 269)(186, 258, 198, 270)(187, 259, 199, 271)(188, 260, 200, 272)(193, 265, 204, 276)(194, 266, 205, 277)(195, 267, 206, 278)(196, 268, 207, 279)(201, 273, 211, 283)(202, 274, 212, 284)(203, 275, 213, 285)(208, 280, 215, 287)(209, 281, 214, 286)(210, 282, 216, 288)
	L = (1, 148)(2, 151)(3, 153)(4, 156)(5, 145)(6, 159)(7, 162)(8, 146)(9, 166)(10, 147)(11, 169)(12, 171)(13, 172)(14, 149)(15, 174)(16, 150)(17, 177)(18, 179)(19, 180)(20, 152)(21, 181)(22, 183)(23, 184)(24, 154)(25, 157)(26, 155)(27, 158)(28, 187)(29, 189)(30, 191)(31, 192)(32, 160)(33, 163)(34, 161)(35, 164)(36, 195)(37, 167)(38, 165)(39, 168)(40, 199)(41, 201)(42, 203)(43, 170)(44, 202)(45, 175)(46, 173)(47, 176)(48, 206)(49, 208)(50, 210)(51, 178)(52, 209)(53, 211)(54, 213)(55, 182)(56, 212)(57, 186)(58, 185)(59, 188)(60, 215)(61, 216)(62, 190)(63, 214)(64, 194)(65, 193)(66, 196)(67, 198)(68, 197)(69, 200)(70, 204)(71, 205)(72, 207)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1873
Graph:: simple bipartite
	v = 72 e = 144 f = 18
	degree seq :: [ 4^72 ]

E28.1832 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^-1 * Y2 * Y3 * Y2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3 * Y1 * Y3 * Y2 * Y1 * Y2, Y3^6, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y2 * Y1, Y3^-2 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y1 * Y3 * Y1 * Y3^-2 * Y2 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 12, 84)(5, 77, 14, 86)(6, 78, 16, 88)(7, 79, 19, 91)(8, 80, 21, 93)(10, 82, 18, 90)(11, 83, 17, 89)(13, 85, 22, 94)(15, 87, 20, 92)(23, 95, 39, 111)(24, 96, 40, 112)(25, 97, 42, 114)(26, 98, 43, 115)(27, 99, 41, 113)(28, 100, 45, 117)(29, 101, 46, 118)(30, 102, 47, 119)(31, 103, 48, 120)(32, 104, 49, 121)(33, 105, 51, 123)(34, 106, 52, 124)(35, 107, 50, 122)(36, 108, 54, 126)(37, 109, 55, 127)(38, 110, 56, 128)(44, 116, 53, 125)(57, 129, 70, 142)(58, 130, 69, 141)(59, 131, 67, 139)(60, 132, 66, 138)(61, 133, 71, 143)(62, 134, 65, 137)(63, 135, 64, 136)(68, 140, 72, 144)(145, 217, 147, 219)(146, 218, 150, 222)(148, 220, 154, 226)(149, 221, 155, 227)(151, 223, 161, 233)(152, 224, 162, 234)(153, 225, 167, 239)(156, 228, 169, 241)(157, 229, 170, 242)(158, 230, 168, 240)(159, 231, 171, 243)(160, 232, 175, 247)(163, 235, 177, 249)(164, 236, 178, 250)(165, 237, 176, 248)(166, 238, 179, 251)(172, 244, 187, 259)(173, 245, 188, 260)(174, 246, 185, 257)(180, 252, 196, 268)(181, 253, 197, 269)(182, 254, 194, 266)(183, 255, 201, 273)(184, 256, 203, 275)(186, 258, 202, 274)(189, 261, 206, 278)(190, 262, 205, 277)(191, 263, 204, 276)(192, 264, 208, 280)(193, 265, 210, 282)(195, 267, 209, 281)(198, 270, 213, 285)(199, 271, 212, 284)(200, 272, 211, 283)(207, 279, 215, 287)(214, 286, 216, 288)
	L = (1, 148)(2, 151)(3, 154)(4, 157)(5, 145)(6, 161)(7, 164)(8, 146)(9, 168)(10, 170)(11, 147)(12, 167)(13, 173)(14, 174)(15, 149)(16, 176)(17, 178)(18, 150)(19, 175)(20, 181)(21, 182)(22, 152)(23, 158)(24, 185)(25, 153)(26, 188)(27, 155)(28, 156)(29, 159)(30, 190)(31, 165)(32, 194)(33, 160)(34, 197)(35, 162)(36, 163)(37, 166)(38, 199)(39, 202)(40, 201)(41, 205)(42, 206)(43, 169)(44, 171)(45, 207)(46, 172)(47, 203)(48, 209)(49, 208)(50, 212)(51, 213)(52, 177)(53, 179)(54, 214)(55, 180)(56, 210)(57, 186)(58, 189)(59, 183)(60, 184)(61, 187)(62, 215)(63, 191)(64, 195)(65, 198)(66, 192)(67, 193)(68, 196)(69, 216)(70, 200)(71, 204)(72, 211)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1872
Graph:: simple bipartite
	v = 72 e = 144 f = 18
	degree seq :: [ 4^72 ]

E28.1833 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y3 * Y2 * Y3^-1, (R * Y3)^2, (Y1 * Y2)^2, (R * Y1)^2, (R * Y2)^2, Y3^6, Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1, Y3^2 * Y1 * Y3^-2 * Y2 * Y3^-1 * Y1 * Y3 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 6, 78)(4, 76, 11, 83)(5, 77, 13, 85)(7, 79, 17, 89)(8, 80, 19, 91)(9, 81, 21, 93)(10, 82, 23, 95)(12, 84, 27, 99)(14, 86, 31, 103)(15, 87, 32, 104)(16, 88, 34, 106)(18, 90, 38, 110)(20, 92, 42, 114)(22, 94, 45, 117)(24, 96, 49, 121)(25, 97, 36, 108)(26, 98, 40, 112)(28, 100, 54, 126)(29, 101, 37, 109)(30, 102, 41, 113)(33, 105, 61, 133)(35, 107, 64, 136)(39, 111, 46, 118)(43, 115, 59, 131)(44, 116, 62, 134)(47, 119, 60, 132)(48, 120, 63, 135)(50, 122, 67, 139)(51, 123, 71, 143)(52, 124, 65, 137)(53, 125, 69, 141)(55, 127, 68, 140)(56, 128, 72, 144)(57, 129, 66, 138)(58, 130, 70, 142)(145, 217, 147, 219)(146, 218, 150, 222)(148, 220, 153, 225)(149, 221, 154, 226)(151, 223, 159, 231)(152, 224, 160, 232)(155, 227, 165, 237)(156, 228, 166, 238)(157, 229, 167, 239)(158, 230, 168, 240)(161, 233, 176, 248)(162, 234, 177, 249)(163, 235, 178, 250)(164, 236, 179, 251)(169, 241, 187, 259)(170, 242, 188, 260)(171, 243, 189, 261)(172, 244, 190, 262)(173, 245, 191, 263)(174, 246, 192, 264)(175, 247, 193, 265)(180, 252, 203, 275)(181, 253, 204, 276)(182, 254, 205, 277)(183, 255, 198, 270)(184, 256, 206, 278)(185, 257, 207, 279)(186, 258, 208, 280)(194, 266, 202, 274)(195, 267, 201, 273)(196, 268, 200, 272)(197, 269, 199, 271)(209, 281, 216, 288)(210, 282, 215, 287)(211, 283, 214, 286)(212, 284, 213, 285)
	L = (1, 148)(2, 151)(3, 153)(4, 156)(5, 145)(6, 159)(7, 162)(8, 146)(9, 166)(10, 147)(11, 169)(12, 172)(13, 173)(14, 149)(15, 177)(16, 150)(17, 180)(18, 183)(19, 184)(20, 152)(21, 187)(22, 190)(23, 191)(24, 154)(25, 194)(26, 155)(27, 196)(28, 158)(29, 199)(30, 157)(31, 201)(32, 203)(33, 198)(34, 206)(35, 160)(36, 209)(37, 161)(38, 211)(39, 164)(40, 213)(41, 163)(42, 215)(43, 202)(44, 165)(45, 200)(46, 168)(47, 197)(48, 167)(49, 195)(50, 193)(51, 170)(52, 192)(53, 171)(54, 179)(55, 189)(56, 174)(57, 188)(58, 175)(59, 216)(60, 176)(61, 214)(62, 212)(63, 178)(64, 210)(65, 208)(66, 181)(67, 207)(68, 182)(69, 205)(70, 185)(71, 204)(72, 186)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1874
Graph:: simple bipartite
	v = 72 e = 144 f = 18
	degree seq :: [ 4^72 ]

E28.1834 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^-1 * Y2 * Y3 * Y2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1 * Y2 * Y1 * Y3^3, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 12, 84)(5, 77, 14, 86)(6, 78, 16, 88)(7, 79, 19, 91)(8, 80, 21, 93)(10, 82, 24, 96)(11, 83, 26, 98)(13, 85, 31, 103)(15, 87, 28, 100)(17, 89, 35, 107)(18, 90, 37, 109)(20, 92, 42, 114)(22, 94, 39, 111)(23, 95, 34, 106)(25, 97, 48, 120)(27, 99, 45, 117)(29, 101, 40, 112)(30, 102, 43, 115)(32, 104, 41, 113)(33, 105, 44, 116)(36, 108, 58, 130)(38, 110, 55, 127)(46, 118, 61, 133)(47, 119, 63, 135)(49, 121, 62, 134)(50, 122, 64, 136)(51, 123, 56, 128)(52, 124, 59, 131)(53, 125, 57, 129)(54, 126, 60, 132)(65, 137, 69, 141)(66, 138, 71, 143)(67, 139, 70, 142)(68, 140, 72, 144)(145, 217, 147, 219)(146, 218, 150, 222)(148, 220, 154, 226)(149, 221, 155, 227)(151, 223, 161, 233)(152, 224, 162, 234)(153, 225, 167, 239)(156, 228, 172, 244)(157, 229, 169, 241)(158, 230, 175, 247)(159, 231, 171, 243)(160, 232, 178, 250)(163, 235, 183, 255)(164, 236, 180, 252)(165, 237, 186, 258)(166, 238, 182, 254)(168, 240, 189, 261)(170, 242, 192, 264)(173, 245, 195, 267)(174, 246, 196, 268)(176, 248, 197, 269)(177, 249, 198, 270)(179, 251, 199, 271)(181, 253, 202, 274)(184, 256, 205, 277)(185, 257, 206, 278)(187, 259, 207, 279)(188, 260, 208, 280)(190, 262, 209, 281)(191, 263, 210, 282)(193, 265, 211, 283)(194, 266, 212, 284)(200, 272, 213, 285)(201, 273, 214, 286)(203, 275, 215, 287)(204, 276, 216, 288)
	L = (1, 148)(2, 151)(3, 154)(4, 157)(5, 145)(6, 161)(7, 164)(8, 146)(9, 166)(10, 169)(11, 147)(12, 173)(13, 160)(14, 176)(15, 149)(16, 159)(17, 180)(18, 150)(19, 184)(20, 153)(21, 187)(22, 152)(23, 182)(24, 190)(25, 178)(26, 193)(27, 155)(28, 195)(29, 191)(30, 156)(31, 197)(32, 194)(33, 158)(34, 171)(35, 200)(36, 167)(37, 203)(38, 162)(39, 205)(40, 201)(41, 163)(42, 207)(43, 204)(44, 165)(45, 209)(46, 174)(47, 168)(48, 211)(49, 177)(50, 170)(51, 210)(52, 172)(53, 212)(54, 175)(55, 213)(56, 185)(57, 179)(58, 215)(59, 188)(60, 181)(61, 214)(62, 183)(63, 216)(64, 186)(65, 196)(66, 189)(67, 198)(68, 192)(69, 206)(70, 199)(71, 208)(72, 202)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1875
Graph:: simple bipartite
	v = 72 e = 144 f = 18
	degree seq :: [ 4^72 ]

E28.1835 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x D24 (small group id <72, 28>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (Y3, Y2^-1), (Y3^-1 * Y1)^2, (R * Y2)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y3)^2, Y2^-6, Y3^6 * Y2^3 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 7, 79)(4, 76, 10, 82)(5, 77, 9, 81)(6, 78, 8, 80)(11, 83, 19, 91)(12, 84, 21, 93)(13, 85, 20, 92)(14, 86, 26, 98)(15, 87, 25, 97)(16, 88, 24, 96)(17, 89, 23, 95)(18, 90, 22, 94)(27, 99, 38, 110)(28, 100, 40, 112)(29, 101, 39, 111)(30, 102, 42, 114)(31, 103, 41, 113)(32, 104, 48, 120)(33, 105, 47, 119)(34, 106, 46, 118)(35, 107, 45, 117)(36, 108, 44, 116)(37, 109, 43, 115)(49, 121, 62, 134)(50, 122, 61, 133)(51, 123, 64, 136)(52, 124, 63, 135)(53, 125, 66, 138)(54, 126, 65, 137)(55, 127, 72, 144)(56, 128, 71, 143)(57, 129, 70, 142)(58, 130, 69, 141)(59, 131, 68, 140)(60, 132, 67, 139)(145, 217, 147, 219, 155, 227, 171, 243, 160, 232, 149, 221)(146, 218, 151, 223, 163, 235, 182, 254, 168, 240, 153, 225)(148, 220, 156, 228, 172, 244, 193, 265, 178, 250, 159, 231)(150, 222, 157, 229, 173, 245, 194, 266, 179, 251, 161, 233)(152, 224, 164, 236, 183, 255, 205, 277, 189, 261, 167, 239)(154, 226, 165, 237, 184, 256, 206, 278, 190, 262, 169, 241)(158, 230, 174, 246, 195, 267, 204, 276, 201, 273, 177, 249)(162, 234, 175, 247, 196, 268, 199, 271, 202, 274, 180, 252)(166, 238, 185, 257, 207, 279, 216, 288, 213, 285, 188, 260)(170, 242, 186, 258, 208, 280, 211, 283, 214, 286, 191, 263)(176, 248, 197, 269, 203, 275, 181, 253, 198, 270, 200, 272)(187, 259, 209, 281, 215, 287, 192, 264, 210, 282, 212, 284)
	L = (1, 148)(2, 152)(3, 156)(4, 158)(5, 159)(6, 145)(7, 164)(8, 166)(9, 167)(10, 146)(11, 172)(12, 174)(13, 147)(14, 176)(15, 177)(16, 178)(17, 149)(18, 150)(19, 183)(20, 185)(21, 151)(22, 187)(23, 188)(24, 189)(25, 153)(26, 154)(27, 193)(28, 195)(29, 155)(30, 197)(31, 157)(32, 199)(33, 200)(34, 201)(35, 160)(36, 161)(37, 162)(38, 205)(39, 207)(40, 163)(41, 209)(42, 165)(43, 211)(44, 212)(45, 213)(46, 168)(47, 169)(48, 170)(49, 204)(50, 171)(51, 203)(52, 173)(53, 202)(54, 175)(55, 194)(56, 196)(57, 198)(58, 179)(59, 180)(60, 181)(61, 216)(62, 182)(63, 215)(64, 184)(65, 214)(66, 186)(67, 206)(68, 208)(69, 210)(70, 190)(71, 191)(72, 192)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1860
Graph:: simple bipartite
	v = 48 e = 144 f = 42
	degree seq :: [ 4^36, 12^12 ]

E28.1836 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2 * Y1)^2, Y2 * Y3 * Y2 * Y3^-1, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, R * Y2 * R * Y2^-1, Y2^6, Y3^-1 * Y2^-2 * Y3^-4 * Y2^-1 * Y3^-1, Y3 * Y2^-1 * Y3^2 * Y2^-1 * Y3^3 * Y2 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 10, 82)(5, 77, 7, 79)(6, 78, 8, 80)(11, 83, 24, 96)(12, 84, 25, 97)(13, 85, 22, 94)(14, 86, 21, 93)(15, 87, 26, 98)(16, 88, 19, 91)(17, 89, 20, 92)(18, 90, 23, 95)(27, 99, 38, 110)(28, 100, 46, 118)(29, 101, 43, 115)(30, 102, 47, 119)(31, 103, 44, 116)(32, 104, 40, 112)(33, 105, 42, 114)(34, 106, 48, 120)(35, 107, 39, 111)(36, 108, 41, 113)(37, 109, 45, 117)(49, 121, 62, 134)(50, 122, 61, 133)(51, 123, 70, 142)(52, 124, 67, 139)(53, 125, 71, 143)(54, 126, 68, 140)(55, 127, 64, 136)(56, 128, 66, 138)(57, 129, 72, 144)(58, 130, 63, 135)(59, 131, 65, 137)(60, 132, 69, 141)(145, 217, 147, 219, 155, 227, 171, 243, 160, 232, 149, 221)(146, 218, 151, 223, 163, 235, 182, 254, 168, 240, 153, 225)(148, 220, 158, 230, 176, 248, 193, 265, 172, 244, 156, 228)(150, 222, 161, 233, 179, 251, 194, 266, 173, 245, 157, 229)(152, 224, 166, 238, 187, 259, 205, 277, 183, 255, 164, 236)(154, 226, 169, 241, 190, 262, 206, 278, 184, 256, 165, 237)(159, 231, 174, 246, 195, 267, 204, 276, 199, 271, 177, 249)(162, 234, 175, 247, 196, 268, 201, 273, 202, 274, 180, 252)(167, 239, 185, 257, 207, 279, 216, 288, 211, 283, 188, 260)(170, 242, 186, 258, 208, 280, 213, 285, 214, 286, 191, 263)(178, 250, 200, 272, 198, 270, 181, 253, 203, 275, 197, 269)(189, 261, 212, 284, 210, 282, 192, 264, 215, 287, 209, 281)
	L = (1, 148)(2, 152)(3, 156)(4, 159)(5, 158)(6, 145)(7, 164)(8, 167)(9, 166)(10, 146)(11, 172)(12, 174)(13, 147)(14, 177)(15, 178)(16, 176)(17, 149)(18, 150)(19, 183)(20, 185)(21, 151)(22, 188)(23, 189)(24, 187)(25, 153)(26, 154)(27, 193)(28, 195)(29, 155)(30, 197)(31, 157)(32, 199)(33, 200)(34, 201)(35, 160)(36, 161)(37, 162)(38, 205)(39, 207)(40, 163)(41, 209)(42, 165)(43, 211)(44, 212)(45, 213)(46, 168)(47, 169)(48, 170)(49, 204)(50, 171)(51, 203)(52, 173)(53, 202)(54, 175)(55, 198)(56, 196)(57, 194)(58, 179)(59, 180)(60, 181)(61, 216)(62, 182)(63, 215)(64, 184)(65, 214)(66, 186)(67, 210)(68, 208)(69, 206)(70, 190)(71, 191)(72, 192)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1862
Graph:: simple bipartite
	v = 48 e = 144 f = 42
	degree seq :: [ 4^36, 12^12 ]

E28.1837 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x D24 (small group id <72, 28>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2^-1, Y3^-1), (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, Y3^4, (R * Y2)^2, Y2^3 * Y3^2, Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 10, 82)(5, 77, 17, 89)(6, 78, 8, 80)(7, 79, 20, 92)(9, 81, 26, 98)(12, 84, 33, 105)(13, 85, 32, 104)(14, 86, 30, 102)(15, 87, 24, 96)(16, 88, 34, 106)(18, 90, 38, 110)(19, 91, 36, 108)(21, 93, 43, 115)(22, 94, 42, 114)(23, 95, 40, 112)(25, 97, 44, 116)(27, 99, 48, 120)(28, 100, 46, 118)(29, 101, 39, 111)(31, 103, 45, 117)(35, 107, 41, 113)(37, 109, 47, 119)(49, 121, 67, 139)(50, 122, 63, 135)(51, 123, 62, 134)(52, 124, 69, 141)(53, 125, 65, 137)(54, 126, 71, 143)(55, 127, 61, 133)(56, 128, 68, 140)(57, 129, 64, 136)(58, 130, 72, 144)(59, 131, 66, 138)(60, 132, 70, 142)(145, 217, 147, 219, 156, 228, 159, 231, 162, 234, 149, 221)(146, 218, 151, 223, 165, 237, 168, 240, 171, 243, 153, 225)(148, 220, 157, 229, 163, 235, 150, 222, 158, 230, 160, 232)(152, 224, 166, 238, 172, 244, 154, 226, 167, 239, 169, 241)(155, 227, 173, 245, 193, 265, 182, 254, 197, 269, 175, 247)(161, 233, 179, 251, 200, 272, 177, 249, 199, 271, 181, 253)(164, 236, 183, 255, 205, 277, 192, 264, 209, 281, 185, 257)(170, 242, 189, 261, 212, 284, 187, 259, 211, 283, 191, 263)(174, 246, 194, 266, 198, 270, 176, 248, 195, 267, 196, 268)(178, 250, 201, 273, 204, 276, 180, 252, 203, 275, 202, 274)(184, 256, 206, 278, 210, 282, 186, 258, 207, 279, 208, 280)(188, 260, 213, 285, 216, 288, 190, 262, 215, 287, 214, 286)
	L = (1, 148)(2, 152)(3, 157)(4, 159)(5, 160)(6, 145)(7, 166)(8, 168)(9, 169)(10, 146)(11, 174)(12, 163)(13, 162)(14, 147)(15, 150)(16, 156)(17, 180)(18, 158)(19, 149)(20, 184)(21, 172)(22, 171)(23, 151)(24, 154)(25, 165)(26, 190)(27, 167)(28, 153)(29, 194)(30, 182)(31, 196)(32, 155)(33, 178)(34, 161)(35, 203)(36, 177)(37, 204)(38, 176)(39, 206)(40, 192)(41, 208)(42, 164)(43, 188)(44, 170)(45, 215)(46, 187)(47, 216)(48, 186)(49, 198)(50, 197)(51, 173)(52, 193)(53, 195)(54, 175)(55, 201)(56, 202)(57, 179)(58, 181)(59, 199)(60, 200)(61, 210)(62, 209)(63, 183)(64, 205)(65, 207)(66, 185)(67, 213)(68, 214)(69, 189)(70, 191)(71, 211)(72, 212)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1856
Graph:: simple bipartite
	v = 48 e = 144 f = 42
	degree seq :: [ 4^36, 12^12 ]

E28.1838 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, Y3^4, (Y3^-1 * Y1)^2, (Y2 * Y1)^2, (R * Y3)^2, Y3^-1 * Y2^3 * Y3^-1, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 10, 82)(5, 77, 7, 79)(6, 78, 8, 80)(11, 83, 29, 101)(12, 84, 30, 102)(13, 85, 28, 100)(14, 86, 32, 104)(15, 87, 26, 98)(16, 88, 31, 103)(17, 89, 24, 96)(18, 90, 22, 94)(19, 91, 23, 95)(20, 92, 27, 99)(21, 93, 25, 97)(33, 105, 56, 128)(34, 106, 55, 127)(35, 107, 54, 126)(36, 108, 53, 125)(37, 109, 51, 123)(38, 110, 52, 124)(39, 111, 49, 121)(40, 112, 50, 122)(41, 113, 48, 120)(42, 114, 47, 119)(43, 115, 46, 118)(44, 116, 45, 117)(57, 129, 71, 143)(58, 130, 72, 144)(59, 131, 69, 141)(60, 132, 70, 142)(61, 133, 67, 139)(62, 134, 68, 140)(63, 135, 65, 137)(64, 136, 66, 138)(145, 217, 147, 219, 155, 227, 159, 231, 162, 234, 149, 221)(146, 218, 151, 223, 166, 238, 170, 242, 173, 245, 153, 225)(148, 220, 158, 230, 165, 237, 150, 222, 164, 236, 160, 232)(152, 224, 169, 241, 176, 248, 154, 226, 175, 247, 171, 243)(156, 228, 177, 249, 180, 252, 157, 229, 179, 251, 178, 250)(161, 233, 185, 257, 188, 260, 163, 235, 187, 259, 186, 258)(167, 239, 189, 261, 192, 264, 168, 240, 191, 263, 190, 262)(172, 244, 197, 269, 200, 272, 174, 246, 199, 271, 198, 270)(181, 253, 201, 273, 206, 278, 182, 254, 202, 274, 205, 277)(183, 255, 203, 275, 208, 280, 184, 256, 204, 276, 207, 279)(193, 265, 209, 281, 214, 286, 194, 266, 210, 282, 213, 285)(195, 267, 211, 283, 216, 288, 196, 268, 212, 284, 215, 287)
	L = (1, 148)(2, 152)(3, 156)(4, 159)(5, 161)(6, 145)(7, 167)(8, 170)(9, 172)(10, 146)(11, 163)(12, 162)(13, 147)(14, 181)(15, 150)(16, 183)(17, 155)(18, 157)(19, 149)(20, 182)(21, 184)(22, 174)(23, 173)(24, 151)(25, 193)(26, 154)(27, 195)(28, 166)(29, 168)(30, 153)(31, 194)(32, 196)(33, 201)(34, 203)(35, 202)(36, 204)(37, 164)(38, 158)(39, 165)(40, 160)(41, 205)(42, 207)(43, 206)(44, 208)(45, 209)(46, 211)(47, 210)(48, 212)(49, 175)(50, 169)(51, 176)(52, 171)(53, 213)(54, 215)(55, 214)(56, 216)(57, 179)(58, 177)(59, 180)(60, 178)(61, 187)(62, 185)(63, 188)(64, 186)(65, 191)(66, 189)(67, 192)(68, 190)(69, 199)(70, 197)(71, 200)(72, 198)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1857
Graph:: simple bipartite
	v = 48 e = 144 f = 42
	degree seq :: [ 4^36, 12^12 ]

E28.1839 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x D24 (small group id <72, 28>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2^-1, Y3^-1), (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2^6, Y3^2 * Y1 * Y2^-1 * Y1 * Y2^-2, Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y3^-1, Y1 * Y2^-1 * Y3^-1 * Y1 * Y3 * Y2^-2, Y2 * Y3^-1 * Y1 * Y2^-1 * Y3^3 * Y1, Y1 * Y2 * Y3 * Y2 * Y3 * Y2^2 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 10, 82)(5, 77, 17, 89)(6, 78, 8, 80)(7, 79, 21, 93)(9, 81, 27, 99)(12, 84, 35, 107)(13, 85, 34, 106)(14, 86, 32, 104)(15, 87, 30, 102)(16, 88, 43, 115)(18, 90, 48, 120)(19, 91, 46, 118)(20, 92, 25, 97)(22, 94, 50, 122)(23, 95, 44, 116)(24, 96, 52, 124)(26, 98, 57, 129)(28, 100, 39, 111)(29, 101, 38, 110)(31, 103, 42, 114)(33, 105, 58, 130)(36, 108, 54, 126)(37, 109, 64, 136)(40, 112, 47, 119)(41, 113, 60, 132)(45, 117, 53, 125)(49, 121, 70, 142)(51, 123, 56, 128)(55, 127, 72, 144)(59, 131, 68, 140)(61, 133, 67, 139)(62, 134, 66, 138)(63, 135, 71, 143)(65, 137, 69, 141)(145, 217, 147, 219, 156, 228, 180, 252, 162, 234, 149, 221)(146, 218, 151, 223, 166, 238, 198, 270, 172, 244, 153, 225)(148, 220, 157, 229, 181, 253, 209, 281, 188, 260, 160, 232)(150, 222, 158, 230, 182, 254, 210, 282, 193, 265, 163, 235)(152, 224, 167, 239, 199, 271, 206, 278, 178, 250, 170, 242)(154, 226, 168, 240, 190, 262, 213, 285, 203, 275, 173, 245)(155, 227, 175, 247, 169, 241, 192, 264, 205, 277, 177, 249)(159, 231, 183, 255, 211, 283, 197, 269, 165, 237, 186, 258)(161, 233, 189, 261, 207, 279, 179, 251, 174, 246, 191, 263)(164, 236, 184, 256, 171, 243, 202, 274, 215, 287, 194, 266)(176, 248, 187, 259, 200, 272, 214, 286, 208, 280, 204, 276)(185, 257, 212, 284, 216, 288, 195, 267, 196, 268, 201, 273)
	L = (1, 148)(2, 152)(3, 157)(4, 159)(5, 160)(6, 145)(7, 167)(8, 169)(9, 170)(10, 146)(11, 176)(12, 181)(13, 183)(14, 147)(15, 185)(16, 186)(17, 190)(18, 188)(19, 149)(20, 150)(21, 196)(22, 199)(23, 192)(24, 151)(25, 200)(26, 175)(27, 182)(28, 178)(29, 153)(30, 154)(31, 187)(32, 191)(33, 204)(34, 155)(35, 173)(36, 209)(37, 211)(38, 156)(39, 212)(40, 158)(41, 202)(42, 201)(43, 161)(44, 165)(45, 213)(46, 166)(47, 168)(48, 214)(49, 162)(50, 163)(51, 164)(52, 184)(53, 195)(54, 206)(55, 205)(56, 189)(57, 171)(58, 210)(59, 172)(60, 174)(61, 208)(62, 177)(63, 203)(64, 179)(65, 197)(66, 180)(67, 216)(68, 215)(69, 198)(70, 207)(71, 193)(72, 194)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1859
Graph:: simple bipartite
	v = 48 e = 144 f = 42
	degree seq :: [ 4^36, 12^12 ]

E28.1840 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x D24 (small group id <72, 28>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y1 * Y3^-1)^2, (R * Y2)^2, (Y3, Y2), (R * Y1)^2, (R * Y3)^2, Y2^6, Y2 * Y3 * Y1 * Y2 * Y3^-1 * Y1 * Y2, (Y2^-3 * Y1)^2, Y3^12 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 10, 82)(5, 77, 17, 89)(6, 78, 8, 80)(7, 79, 21, 93)(9, 81, 27, 99)(12, 84, 35, 107)(13, 85, 34, 106)(14, 86, 32, 104)(15, 87, 30, 102)(16, 88, 43, 115)(18, 90, 48, 120)(19, 91, 46, 118)(20, 92, 25, 97)(22, 94, 42, 114)(23, 95, 53, 125)(24, 96, 49, 121)(26, 98, 37, 109)(28, 100, 40, 112)(29, 101, 59, 131)(31, 103, 50, 122)(33, 105, 58, 130)(36, 108, 54, 126)(38, 110, 63, 135)(39, 111, 47, 119)(41, 113, 60, 132)(44, 116, 72, 144)(45, 117, 52, 124)(51, 123, 56, 128)(55, 127, 69, 141)(57, 129, 68, 140)(61, 133, 65, 137)(62, 134, 67, 139)(64, 136, 70, 142)(66, 138, 71, 143)(145, 217, 147, 219, 156, 228, 180, 252, 162, 234, 149, 221)(146, 218, 151, 223, 166, 238, 198, 270, 172, 244, 153, 225)(148, 220, 157, 229, 181, 253, 209, 281, 188, 260, 160, 232)(150, 222, 158, 230, 182, 254, 210, 282, 193, 265, 163, 235)(152, 224, 167, 239, 187, 259, 215, 287, 201, 273, 170, 242)(154, 226, 168, 240, 199, 271, 205, 277, 176, 248, 173, 245)(155, 227, 175, 247, 174, 246, 192, 264, 206, 278, 177, 249)(159, 231, 183, 255, 171, 243, 202, 274, 214, 286, 186, 258)(161, 233, 189, 261, 208, 280, 179, 251, 169, 241, 191, 263)(164, 236, 184, 256, 211, 283, 196, 268, 165, 237, 194, 266)(178, 250, 190, 262, 204, 276, 216, 288, 207, 279, 200, 272)(185, 257, 197, 269, 203, 275, 195, 267, 212, 284, 213, 285)
	L = (1, 148)(2, 152)(3, 157)(4, 159)(5, 160)(6, 145)(7, 167)(8, 169)(9, 170)(10, 146)(11, 176)(12, 181)(13, 183)(14, 147)(15, 185)(16, 186)(17, 190)(18, 188)(19, 149)(20, 150)(21, 193)(22, 187)(23, 191)(24, 151)(25, 200)(26, 179)(27, 203)(28, 201)(29, 153)(30, 154)(31, 173)(32, 172)(33, 205)(34, 155)(35, 207)(36, 209)(37, 171)(38, 156)(39, 197)(40, 158)(41, 196)(42, 213)(43, 161)(44, 214)(45, 204)(46, 175)(47, 178)(48, 168)(49, 162)(50, 163)(51, 164)(52, 210)(53, 165)(54, 215)(55, 166)(56, 177)(57, 208)(58, 195)(59, 194)(60, 174)(61, 198)(62, 199)(63, 206)(64, 216)(65, 202)(66, 180)(67, 182)(68, 184)(69, 211)(70, 212)(71, 189)(72, 192)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1858
Graph:: simple bipartite
	v = 48 e = 144 f = 42
	degree seq :: [ 4^36, 12^12 ]

E28.1841 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (Y2^-1 * Y1)^2, (R * Y3)^2, Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2, Y2^6, Y2 * Y3^-3 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 10, 82)(5, 77, 7, 79)(6, 78, 8, 80)(11, 83, 30, 102)(12, 84, 31, 103)(13, 85, 29, 101)(14, 86, 33, 105)(15, 87, 34, 106)(16, 88, 32, 104)(17, 89, 25, 97)(18, 90, 23, 95)(19, 91, 24, 96)(20, 92, 28, 100)(21, 93, 26, 98)(22, 94, 27, 99)(35, 107, 50, 122)(36, 108, 61, 133)(37, 109, 62, 134)(38, 110, 63, 135)(39, 111, 60, 132)(40, 112, 58, 130)(41, 113, 64, 136)(42, 114, 59, 131)(43, 115, 55, 127)(44, 116, 57, 129)(45, 117, 54, 126)(46, 118, 51, 123)(47, 119, 52, 124)(48, 120, 53, 125)(49, 121, 56, 128)(65, 137, 71, 143)(66, 138, 72, 144)(67, 139, 69, 141)(68, 140, 70, 142)(145, 217, 147, 219, 155, 227, 179, 251, 162, 234, 149, 221)(146, 218, 151, 223, 167, 239, 194, 266, 174, 246, 153, 225)(148, 220, 158, 230, 185, 257, 191, 263, 163, 235, 160, 232)(150, 222, 164, 236, 156, 228, 181, 253, 193, 265, 165, 237)(152, 224, 170, 242, 200, 272, 206, 278, 175, 247, 172, 244)(154, 226, 176, 248, 168, 240, 196, 268, 208, 280, 177, 249)(157, 229, 183, 255, 180, 252, 190, 262, 189, 261, 161, 233)(159, 231, 182, 254, 209, 281, 212, 284, 188, 260, 187, 259)(166, 238, 184, 256, 186, 258, 210, 282, 211, 283, 192, 264)(169, 241, 198, 270, 195, 267, 205, 277, 204, 276, 173, 245)(171, 243, 197, 269, 213, 285, 216, 288, 203, 275, 202, 274)(178, 250, 199, 271, 201, 273, 214, 286, 215, 287, 207, 279)
	L = (1, 148)(2, 152)(3, 156)(4, 159)(5, 161)(6, 145)(7, 168)(8, 171)(9, 173)(10, 146)(11, 180)(12, 182)(13, 147)(14, 155)(15, 183)(16, 184)(17, 187)(18, 165)(19, 149)(20, 186)(21, 188)(22, 150)(23, 195)(24, 197)(25, 151)(26, 167)(27, 198)(28, 199)(29, 202)(30, 177)(31, 153)(32, 201)(33, 203)(34, 154)(35, 191)(36, 209)(37, 179)(38, 185)(39, 210)(40, 157)(41, 211)(42, 158)(43, 164)(44, 160)(45, 166)(46, 162)(47, 212)(48, 163)(49, 192)(50, 206)(51, 213)(52, 194)(53, 200)(54, 214)(55, 169)(56, 215)(57, 170)(58, 176)(59, 172)(60, 178)(61, 174)(62, 216)(63, 175)(64, 207)(65, 193)(66, 181)(67, 190)(68, 189)(69, 208)(70, 196)(71, 205)(72, 204)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1861
Graph:: simple bipartite
	v = 48 e = 144 f = 42
	degree seq :: [ 4^36, 12^12 ]

E28.1842 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x D24 (small group id <72, 28>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3)^2, Y2^-1 * Y3 * Y2^2 * Y3 * Y2^-1, (Y2^-1 * R * Y2^-1)^2, Y2^6, Y2 * Y1 * Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y3, (Y3 * Y2^-1 * Y3 * Y2^-2 * Y1 * Y2^-1)^3 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 6, 78)(4, 76, 7, 79)(5, 77, 8, 80)(9, 81, 15, 87)(10, 82, 16, 88)(11, 83, 17, 89)(12, 84, 18, 90)(13, 85, 19, 91)(14, 86, 20, 92)(21, 93, 29, 101)(22, 94, 30, 102)(23, 95, 31, 103)(24, 96, 32, 104)(25, 97, 33, 105)(26, 98, 34, 106)(27, 99, 35, 107)(28, 100, 36, 108)(37, 109, 45, 117)(38, 110, 46, 118)(39, 111, 47, 119)(40, 112, 48, 120)(41, 113, 49, 121)(42, 114, 50, 122)(43, 115, 51, 123)(44, 116, 52, 124)(53, 125, 60, 132)(54, 126, 61, 133)(55, 127, 62, 134)(56, 128, 63, 135)(57, 129, 64, 136)(58, 130, 65, 137)(59, 131, 66, 138)(67, 139, 70, 142)(68, 140, 71, 143)(69, 141, 72, 144)(145, 217, 147, 219, 153, 225, 165, 237, 158, 230, 149, 221)(146, 218, 150, 222, 159, 231, 173, 245, 164, 236, 152, 224)(148, 220, 155, 227, 166, 238, 182, 254, 171, 243, 156, 228)(151, 223, 161, 233, 174, 246, 190, 262, 179, 251, 162, 234)(154, 226, 167, 239, 181, 253, 172, 244, 157, 229, 168, 240)(160, 232, 175, 247, 189, 261, 180, 252, 163, 235, 176, 248)(169, 241, 185, 257, 197, 269, 187, 259, 170, 242, 186, 258)(177, 249, 193, 265, 204, 276, 195, 267, 178, 250, 194, 266)(183, 255, 198, 270, 188, 260, 200, 272, 184, 256, 199, 271)(191, 263, 205, 277, 196, 268, 207, 279, 192, 264, 206, 278)(201, 273, 214, 286, 203, 275, 216, 288, 202, 274, 215, 287)(208, 280, 211, 283, 210, 282, 213, 285, 209, 281, 212, 284)
	L = (1, 148)(2, 151)(3, 154)(4, 145)(5, 157)(6, 160)(7, 146)(8, 163)(9, 166)(10, 147)(11, 169)(12, 170)(13, 149)(14, 171)(15, 174)(16, 150)(17, 177)(18, 178)(19, 152)(20, 179)(21, 181)(22, 153)(23, 183)(24, 184)(25, 155)(26, 156)(27, 158)(28, 188)(29, 189)(30, 159)(31, 191)(32, 192)(33, 161)(34, 162)(35, 164)(36, 196)(37, 165)(38, 197)(39, 167)(40, 168)(41, 201)(42, 202)(43, 203)(44, 172)(45, 173)(46, 204)(47, 175)(48, 176)(49, 208)(50, 209)(51, 210)(52, 180)(53, 182)(54, 211)(55, 212)(56, 213)(57, 185)(58, 186)(59, 187)(60, 190)(61, 214)(62, 215)(63, 216)(64, 193)(65, 194)(66, 195)(67, 198)(68, 199)(69, 200)(70, 205)(71, 206)(72, 207)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1855
Graph:: simple bipartite
	v = 48 e = 144 f = 42
	degree seq :: [ 4^36, 12^12 ]

E28.1843 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x D24 (small group id <72, 28>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1, Y2^6, (R * Y2^2)^2, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, Y3 * Y2^2 * Y3 * Y2^-2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y3 * Y2^-1 * Y1 * Y2 * Y1, (Y3 * Y2^-1)^12 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 7, 79)(5, 77, 14, 86)(6, 78, 17, 89)(8, 80, 22, 94)(10, 82, 18, 90)(11, 83, 20, 92)(12, 84, 19, 91)(13, 85, 23, 95)(15, 87, 21, 93)(16, 88, 24, 96)(25, 97, 43, 115)(26, 98, 46, 118)(27, 99, 44, 116)(28, 100, 37, 109)(29, 101, 45, 117)(30, 102, 47, 119)(31, 103, 40, 112)(32, 104, 50, 122)(33, 105, 51, 123)(34, 106, 52, 124)(35, 107, 55, 127)(36, 108, 53, 125)(38, 110, 54, 126)(39, 111, 56, 128)(41, 113, 59, 131)(42, 114, 60, 132)(48, 120, 58, 130)(49, 121, 57, 129)(61, 133, 69, 141)(62, 134, 70, 142)(63, 135, 67, 139)(64, 136, 68, 140)(65, 137, 72, 144)(66, 138, 71, 143)(145, 217, 147, 219, 154, 226, 171, 243, 160, 232, 149, 221)(146, 218, 150, 222, 162, 234, 180, 252, 168, 240, 152, 224)(148, 220, 156, 228, 172, 244, 193, 265, 175, 247, 157, 229)(151, 223, 164, 236, 181, 253, 202, 274, 184, 256, 165, 237)(153, 225, 169, 241, 188, 260, 176, 248, 158, 230, 170, 242)(155, 227, 173, 245, 192, 264, 177, 249, 159, 231, 174, 246)(161, 233, 178, 250, 197, 269, 185, 257, 166, 238, 179, 251)(163, 235, 182, 254, 201, 273, 186, 258, 167, 239, 183, 255)(187, 259, 205, 277, 194, 266, 209, 281, 190, 262, 206, 278)(189, 261, 207, 279, 195, 267, 210, 282, 191, 263, 208, 280)(196, 268, 211, 283, 203, 275, 215, 287, 199, 271, 212, 284)(198, 270, 213, 285, 204, 276, 216, 288, 200, 272, 214, 286)
	L = (1, 148)(2, 151)(3, 155)(4, 145)(5, 159)(6, 163)(7, 146)(8, 167)(9, 164)(10, 172)(11, 147)(12, 161)(13, 166)(14, 165)(15, 149)(16, 175)(17, 156)(18, 181)(19, 150)(20, 153)(21, 158)(22, 157)(23, 152)(24, 184)(25, 189)(26, 191)(27, 192)(28, 154)(29, 187)(30, 190)(31, 160)(32, 195)(33, 194)(34, 198)(35, 200)(36, 201)(37, 162)(38, 196)(39, 199)(40, 168)(41, 204)(42, 203)(43, 173)(44, 202)(45, 169)(46, 174)(47, 170)(48, 171)(49, 197)(50, 177)(51, 176)(52, 182)(53, 193)(54, 178)(55, 183)(56, 179)(57, 180)(58, 188)(59, 186)(60, 185)(61, 211)(62, 212)(63, 213)(64, 214)(65, 215)(66, 216)(67, 205)(68, 206)(69, 207)(70, 208)(71, 209)(72, 210)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1853
Graph:: simple bipartite
	v = 48 e = 144 f = 42
	degree seq :: [ 4^36, 12^12 ]

E28.1844 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (R * Y1)^2, (Y3 * Y1)^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y3)^2, (R * Y2 * Y3)^2, Y2^6, Y2^-1 * R * Y2^2 * R * Y2^-1, (Y3 * Y2^-2)^2, Y2 * Y1 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2 * Y3 * Y2^-2 * Y3, Y2 * Y1 * Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y3, (Y2 * Y3 * Y2 * Y1 * Y3)^3 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 6, 78)(4, 76, 7, 79)(5, 77, 8, 80)(9, 81, 15, 87)(10, 82, 16, 88)(11, 83, 17, 89)(12, 84, 18, 90)(13, 85, 19, 91)(14, 86, 20, 92)(21, 93, 29, 101)(22, 94, 30, 102)(23, 95, 31, 103)(24, 96, 32, 104)(25, 97, 33, 105)(26, 98, 34, 106)(27, 99, 35, 107)(28, 100, 36, 108)(37, 109, 45, 117)(38, 110, 46, 118)(39, 111, 47, 119)(40, 112, 48, 120)(41, 113, 49, 121)(42, 114, 50, 122)(43, 115, 51, 123)(44, 116, 52, 124)(53, 125, 60, 132)(54, 126, 61, 133)(55, 127, 62, 134)(56, 128, 63, 135)(57, 129, 64, 136)(58, 130, 65, 137)(59, 131, 66, 138)(67, 139, 71, 143)(68, 140, 70, 142)(69, 141, 72, 144)(145, 217, 147, 219, 153, 225, 165, 237, 158, 230, 149, 221)(146, 218, 150, 222, 159, 231, 173, 245, 164, 236, 152, 224)(148, 220, 155, 227, 169, 241, 182, 254, 166, 238, 156, 228)(151, 223, 161, 233, 177, 249, 190, 262, 174, 246, 162, 234)(154, 226, 167, 239, 157, 229, 172, 244, 181, 253, 168, 240)(160, 232, 175, 247, 163, 235, 180, 252, 189, 261, 176, 248)(170, 242, 185, 257, 171, 243, 187, 259, 197, 269, 186, 258)(178, 250, 193, 265, 179, 251, 195, 267, 204, 276, 194, 266)(183, 255, 198, 270, 184, 256, 200, 272, 188, 260, 199, 271)(191, 263, 205, 277, 192, 264, 207, 279, 196, 268, 206, 278)(201, 273, 214, 286, 202, 274, 216, 288, 203, 275, 215, 287)(208, 280, 212, 284, 209, 281, 213, 285, 210, 282, 211, 283)
	L = (1, 148)(2, 151)(3, 154)(4, 145)(5, 157)(6, 160)(7, 146)(8, 163)(9, 166)(10, 147)(11, 170)(12, 171)(13, 149)(14, 169)(15, 174)(16, 150)(17, 178)(18, 179)(19, 152)(20, 177)(21, 181)(22, 153)(23, 183)(24, 184)(25, 158)(26, 155)(27, 156)(28, 188)(29, 189)(30, 159)(31, 191)(32, 192)(33, 164)(34, 161)(35, 162)(36, 196)(37, 165)(38, 197)(39, 167)(40, 168)(41, 201)(42, 202)(43, 203)(44, 172)(45, 173)(46, 204)(47, 175)(48, 176)(49, 208)(50, 209)(51, 210)(52, 180)(53, 182)(54, 211)(55, 212)(56, 213)(57, 185)(58, 186)(59, 187)(60, 190)(61, 215)(62, 214)(63, 216)(64, 193)(65, 194)(66, 195)(67, 198)(68, 199)(69, 200)(70, 206)(71, 205)(72, 207)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1863
Graph:: simple bipartite
	v = 48 e = 144 f = 42
	degree seq :: [ 4^36, 12^12 ]

E28.1845 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3)^2, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1, Y2^-1 * R * Y2^2 * R * Y2^-1, Y2^6, (Y2^-2 * Y1)^2, (Y2^-1 * Y3 * Y2^-1)^2, Y2^3 * Y1 * Y3 * Y2 * Y3 * Y2^-2 * Y1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y3 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1, (Y3 * Y2)^12 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 7, 79)(5, 77, 14, 86)(6, 78, 17, 89)(8, 80, 22, 94)(10, 82, 24, 96)(11, 83, 20, 92)(12, 84, 19, 91)(13, 85, 23, 95)(15, 87, 21, 93)(16, 88, 18, 90)(25, 97, 43, 115)(26, 98, 45, 117)(27, 99, 47, 119)(28, 100, 40, 112)(29, 101, 44, 116)(30, 102, 46, 118)(31, 103, 37, 109)(32, 104, 50, 122)(33, 105, 51, 123)(34, 106, 52, 124)(35, 107, 54, 126)(36, 108, 56, 128)(38, 110, 53, 125)(39, 111, 55, 127)(41, 113, 59, 131)(42, 114, 60, 132)(48, 120, 58, 130)(49, 121, 57, 129)(61, 133, 70, 142)(62, 134, 69, 141)(63, 135, 68, 140)(64, 136, 67, 139)(65, 137, 72, 144)(66, 138, 71, 143)(145, 217, 147, 219, 154, 226, 171, 243, 160, 232, 149, 221)(146, 218, 150, 222, 162, 234, 180, 252, 168, 240, 152, 224)(148, 220, 156, 228, 175, 247, 193, 265, 172, 244, 157, 229)(151, 223, 164, 236, 184, 256, 202, 274, 181, 253, 165, 237)(153, 225, 169, 241, 158, 230, 176, 248, 191, 263, 170, 242)(155, 227, 173, 245, 159, 231, 177, 249, 192, 264, 174, 246)(161, 233, 178, 250, 166, 238, 185, 257, 200, 272, 179, 251)(163, 235, 182, 254, 167, 239, 186, 258, 201, 273, 183, 255)(187, 259, 205, 277, 189, 261, 209, 281, 194, 266, 206, 278)(188, 260, 207, 279, 190, 262, 210, 282, 195, 267, 208, 280)(196, 268, 211, 283, 198, 270, 215, 287, 203, 275, 212, 284)(197, 269, 213, 285, 199, 271, 216, 288, 204, 276, 214, 286)
	L = (1, 148)(2, 151)(3, 155)(4, 145)(5, 159)(6, 163)(7, 146)(8, 167)(9, 164)(10, 172)(11, 147)(12, 161)(13, 166)(14, 165)(15, 149)(16, 175)(17, 156)(18, 181)(19, 150)(20, 153)(21, 158)(22, 157)(23, 152)(24, 184)(25, 188)(26, 190)(27, 192)(28, 154)(29, 187)(30, 189)(31, 160)(32, 195)(33, 194)(34, 197)(35, 199)(36, 201)(37, 162)(38, 196)(39, 198)(40, 168)(41, 204)(42, 203)(43, 173)(44, 169)(45, 174)(46, 170)(47, 202)(48, 171)(49, 200)(50, 177)(51, 176)(52, 182)(53, 178)(54, 183)(55, 179)(56, 193)(57, 180)(58, 191)(59, 186)(60, 185)(61, 212)(62, 211)(63, 214)(64, 213)(65, 215)(66, 216)(67, 206)(68, 205)(69, 208)(70, 207)(71, 209)(72, 210)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1854
Graph:: simple bipartite
	v = 48 e = 144 f = 42
	degree seq :: [ 4^36, 12^12 ]

E28.1846 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = C2 x ((C6 x S3) : C2) (small group id <144, 151>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y2^-1 * Y3^-1 * Y2^-1, (Y3^-1 * Y1)^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y1)^2, (R * Y3)^2, R * Y2 * R * Y2^-1, Y2^6, Y2 * Y3 * Y2^-1 * Y3 * Y2 * Y3^4, Y3^12 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 7, 79)(4, 76, 10, 82)(5, 77, 9, 81)(6, 78, 8, 80)(11, 83, 19, 91)(12, 84, 21, 93)(13, 85, 20, 92)(14, 86, 25, 97)(15, 87, 26, 98)(16, 88, 24, 96)(17, 89, 22, 94)(18, 90, 23, 95)(27, 99, 38, 110)(28, 100, 40, 112)(29, 101, 39, 111)(30, 102, 42, 114)(31, 103, 41, 113)(32, 104, 46, 118)(33, 105, 47, 119)(34, 106, 48, 120)(35, 107, 43, 115)(36, 108, 44, 116)(37, 109, 45, 117)(49, 121, 62, 134)(50, 122, 61, 133)(51, 123, 64, 136)(52, 124, 63, 135)(53, 125, 66, 138)(54, 126, 65, 137)(55, 127, 70, 142)(56, 128, 71, 143)(57, 129, 72, 144)(58, 130, 67, 139)(59, 131, 68, 140)(60, 132, 69, 141)(145, 217, 147, 219, 155, 227, 171, 243, 160, 232, 149, 221)(146, 218, 151, 223, 163, 235, 182, 254, 168, 240, 153, 225)(148, 220, 158, 230, 176, 248, 193, 265, 172, 244, 156, 228)(150, 222, 161, 233, 179, 251, 194, 266, 173, 245, 157, 229)(152, 224, 166, 238, 187, 259, 205, 277, 183, 255, 164, 236)(154, 226, 169, 241, 190, 262, 206, 278, 184, 256, 165, 237)(159, 231, 174, 246, 195, 267, 204, 276, 199, 271, 177, 249)(162, 234, 175, 247, 196, 268, 201, 273, 202, 274, 180, 252)(167, 239, 185, 257, 207, 279, 216, 288, 211, 283, 188, 260)(170, 242, 186, 258, 208, 280, 213, 285, 214, 286, 191, 263)(178, 250, 200, 272, 198, 270, 181, 253, 203, 275, 197, 269)(189, 261, 212, 284, 210, 282, 192, 264, 215, 287, 209, 281)
	L = (1, 148)(2, 152)(3, 156)(4, 159)(5, 158)(6, 145)(7, 164)(8, 167)(9, 166)(10, 146)(11, 172)(12, 174)(13, 147)(14, 177)(15, 178)(16, 176)(17, 149)(18, 150)(19, 183)(20, 185)(21, 151)(22, 188)(23, 189)(24, 187)(25, 153)(26, 154)(27, 193)(28, 195)(29, 155)(30, 197)(31, 157)(32, 199)(33, 200)(34, 201)(35, 160)(36, 161)(37, 162)(38, 205)(39, 207)(40, 163)(41, 209)(42, 165)(43, 211)(44, 212)(45, 213)(46, 168)(47, 169)(48, 170)(49, 204)(50, 171)(51, 203)(52, 173)(53, 202)(54, 175)(55, 198)(56, 196)(57, 194)(58, 179)(59, 180)(60, 181)(61, 216)(62, 182)(63, 215)(64, 184)(65, 214)(66, 186)(67, 210)(68, 208)(69, 206)(70, 190)(71, 191)(72, 192)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1866
Graph:: simple bipartite
	v = 48 e = 144 f = 42
	degree seq :: [ 4^36, 12^12 ]

E28.1847 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = C2 x ((C6 x S3) : C2) (small group id <144, 151>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, Y3^4, Y3^-1 * Y2^3 * Y3^-1, (Y3 * Y2 * Y1)^2, (Y3 * Y1 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y2^2 * Y1 * Y3^-1 * Y2^-1, Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y1, (Y2 * Y3 * Y2^-1 * Y1)^2, (Y2^-1 * Y1 * Y2^-1 * Y3^-1)^2, Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, (Y3 * Y2^-1)^12 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 10, 82)(5, 77, 18, 90)(6, 78, 8, 80)(7, 79, 24, 96)(9, 81, 31, 103)(12, 84, 39, 111)(13, 85, 36, 108)(14, 86, 30, 102)(15, 87, 34, 106)(16, 88, 29, 101)(17, 89, 27, 99)(19, 91, 35, 107)(20, 92, 50, 122)(21, 93, 28, 100)(22, 94, 32, 104)(23, 95, 26, 98)(25, 97, 44, 116)(33, 105, 45, 117)(37, 109, 53, 125)(38, 110, 59, 131)(40, 112, 64, 136)(41, 113, 58, 130)(42, 114, 62, 134)(43, 115, 56, 128)(46, 118, 54, 126)(47, 119, 60, 132)(48, 120, 63, 135)(49, 121, 57, 129)(51, 123, 61, 133)(52, 124, 55, 127)(65, 137, 69, 141)(66, 138, 70, 142)(67, 139, 72, 144)(68, 140, 71, 143)(145, 217, 147, 219, 156, 228, 160, 232, 164, 236, 149, 221)(146, 218, 151, 223, 169, 241, 173, 245, 177, 249, 153, 225)(148, 220, 159, 231, 167, 239, 150, 222, 166, 238, 161, 233)(152, 224, 172, 244, 180, 252, 154, 226, 179, 251, 174, 246)(155, 227, 181, 253, 209, 281, 194, 266, 210, 282, 182, 254)(157, 229, 184, 256, 187, 259, 158, 230, 186, 258, 185, 257)(162, 234, 190, 262, 212, 284, 183, 255, 211, 283, 191, 263)(163, 235, 192, 264, 196, 268, 165, 237, 195, 267, 193, 265)(168, 240, 197, 269, 216, 288, 189, 261, 214, 286, 198, 270)(170, 242, 199, 271, 202, 274, 171, 243, 201, 273, 200, 272)(175, 247, 203, 275, 215, 287, 188, 260, 213, 285, 204, 276)(176, 248, 205, 277, 208, 280, 178, 250, 207, 279, 206, 278)
	L = (1, 148)(2, 152)(3, 157)(4, 160)(5, 163)(6, 145)(7, 170)(8, 173)(9, 176)(10, 146)(11, 174)(12, 165)(13, 164)(14, 147)(15, 188)(16, 150)(17, 189)(18, 172)(19, 156)(20, 158)(21, 149)(22, 175)(23, 168)(24, 161)(25, 178)(26, 177)(27, 151)(28, 183)(29, 154)(30, 194)(31, 159)(32, 169)(33, 171)(34, 153)(35, 162)(36, 155)(37, 200)(38, 206)(39, 179)(40, 213)(41, 214)(42, 203)(43, 197)(44, 166)(45, 167)(46, 199)(47, 205)(48, 215)(49, 216)(50, 180)(51, 204)(52, 198)(53, 185)(54, 193)(55, 211)(56, 210)(57, 190)(58, 181)(59, 184)(60, 192)(61, 212)(62, 209)(63, 191)(64, 182)(65, 208)(66, 202)(67, 201)(68, 207)(69, 186)(70, 187)(71, 195)(72, 196)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1864
Graph:: simple bipartite
	v = 48 e = 144 f = 42
	degree seq :: [ 4^36, 12^12 ]

E28.1848 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = C2 x ((C6 x S3) : C2) (small group id <144, 151>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y3 * Y2^-2 * Y3, Y2^6, Y1 * Y2 * Y1 * Y3 * Y2 * Y3^-1, Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y3 * Y1, (R * Y2 * Y3^-1)^2, Y2 * Y3^-3 * Y2 * Y3^-1, Y2^6, (Y2 * Y3^-1 * Y1)^2, (Y3 * Y1 * Y2)^2, (Y2^-3 * Y1)^2, Y1 * Y2^2 * Y3^2 * Y2^2 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 10, 82)(5, 77, 18, 90)(6, 78, 8, 80)(7, 79, 25, 97)(9, 81, 32, 104)(12, 84, 41, 113)(13, 85, 37, 109)(14, 86, 31, 103)(15, 87, 35, 107)(16, 88, 38, 110)(17, 89, 28, 100)(19, 91, 36, 108)(20, 92, 53, 125)(21, 93, 29, 101)(22, 94, 33, 105)(23, 95, 27, 99)(24, 96, 30, 102)(26, 98, 56, 128)(34, 106, 45, 117)(39, 111, 49, 121)(40, 112, 64, 136)(42, 114, 59, 131)(43, 115, 68, 140)(44, 116, 67, 139)(46, 118, 65, 137)(47, 119, 51, 123)(48, 120, 66, 138)(50, 122, 58, 130)(52, 124, 62, 134)(54, 126, 63, 135)(55, 127, 61, 133)(57, 129, 60, 132)(69, 141, 71, 143)(70, 142, 72, 144)(145, 217, 147, 219, 156, 228, 186, 258, 164, 236, 149, 221)(146, 218, 151, 223, 170, 242, 203, 275, 178, 250, 153, 225)(148, 220, 159, 231, 192, 264, 199, 271, 165, 237, 161, 233)(150, 222, 166, 238, 157, 229, 188, 260, 201, 273, 167, 239)(152, 224, 173, 245, 207, 279, 211, 283, 179, 251, 175, 247)(154, 226, 180, 252, 171, 243, 205, 277, 212, 284, 181, 253)(155, 227, 183, 255, 174, 246, 197, 269, 213, 285, 184, 256)(158, 230, 190, 262, 187, 259, 198, 270, 196, 268, 163, 235)(160, 232, 189, 261, 215, 287, 202, 274, 169, 241, 193, 265)(162, 234, 194, 266, 214, 286, 185, 257, 182, 254, 195, 267)(168, 240, 191, 263, 176, 248, 208, 280, 216, 288, 200, 272)(172, 244, 206, 278, 204, 276, 210, 282, 209, 281, 177, 249)
	L = (1, 148)(2, 152)(3, 157)(4, 160)(5, 163)(6, 145)(7, 171)(8, 174)(9, 177)(10, 146)(11, 175)(12, 187)(13, 189)(14, 147)(15, 156)(16, 190)(17, 191)(18, 173)(19, 193)(20, 167)(21, 149)(22, 176)(23, 169)(24, 150)(25, 161)(26, 204)(27, 197)(28, 151)(29, 170)(30, 206)(31, 195)(32, 159)(33, 183)(34, 181)(35, 153)(36, 162)(37, 155)(38, 154)(39, 180)(40, 209)(41, 179)(42, 199)(43, 215)(44, 186)(45, 192)(46, 208)(47, 158)(48, 216)(49, 166)(50, 205)(51, 172)(52, 168)(53, 207)(54, 164)(55, 202)(56, 165)(57, 200)(58, 196)(59, 211)(60, 213)(61, 203)(62, 194)(63, 214)(64, 188)(65, 182)(66, 178)(67, 184)(68, 185)(69, 212)(70, 210)(71, 201)(72, 198)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1865
Graph:: simple bipartite
	v = 48 e = 144 f = 42
	degree seq :: [ 4^36, 12^12 ]

E28.1849 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = ((C6 x C2) : C2) x S3 (small group id <144, 153>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (Y3 * Y1)^2, Y3^4, (R * Y3)^2, Y2^-1 * Y1 * Y2 * Y1, Y2^2 * Y3^-2 * Y2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 7, 79)(4, 76, 10, 82)(5, 77, 9, 81)(6, 78, 8, 80)(11, 83, 22, 94)(12, 84, 24, 96)(13, 85, 23, 95)(14, 86, 31, 103)(15, 87, 26, 98)(16, 88, 32, 104)(17, 89, 30, 102)(18, 90, 29, 101)(19, 91, 28, 100)(20, 92, 25, 97)(21, 93, 27, 99)(33, 105, 47, 119)(34, 106, 48, 120)(35, 107, 45, 117)(36, 108, 46, 118)(37, 109, 49, 121)(38, 110, 50, 122)(39, 111, 51, 123)(40, 112, 52, 124)(41, 113, 55, 127)(42, 114, 56, 128)(43, 115, 53, 125)(44, 116, 54, 126)(57, 129, 65, 137)(58, 130, 66, 138)(59, 131, 67, 139)(60, 132, 68, 140)(61, 133, 69, 141)(62, 134, 70, 142)(63, 135, 71, 143)(64, 136, 72, 144)(145, 217, 147, 219, 155, 227, 159, 231, 162, 234, 149, 221)(146, 218, 151, 223, 166, 238, 170, 242, 173, 245, 153, 225)(148, 220, 158, 230, 165, 237, 150, 222, 164, 236, 160, 232)(152, 224, 169, 241, 176, 248, 154, 226, 175, 247, 171, 243)(156, 228, 177, 249, 180, 252, 157, 229, 179, 251, 178, 250)(161, 233, 185, 257, 188, 260, 163, 235, 187, 259, 186, 258)(167, 239, 189, 261, 192, 264, 168, 240, 191, 263, 190, 262)(172, 244, 197, 269, 200, 272, 174, 246, 199, 271, 198, 270)(181, 253, 201, 273, 206, 278, 182, 254, 202, 274, 205, 277)(183, 255, 203, 275, 208, 280, 184, 256, 204, 276, 207, 279)(193, 265, 209, 281, 214, 286, 194, 266, 210, 282, 213, 285)(195, 267, 211, 283, 216, 288, 196, 268, 212, 284, 215, 287)
	L = (1, 148)(2, 152)(3, 156)(4, 159)(5, 161)(6, 145)(7, 167)(8, 170)(9, 172)(10, 146)(11, 163)(12, 162)(13, 147)(14, 181)(15, 150)(16, 183)(17, 155)(18, 157)(19, 149)(20, 182)(21, 184)(22, 174)(23, 173)(24, 151)(25, 193)(26, 154)(27, 195)(28, 166)(29, 168)(30, 153)(31, 194)(32, 196)(33, 201)(34, 203)(35, 202)(36, 204)(37, 164)(38, 158)(39, 165)(40, 160)(41, 205)(42, 207)(43, 206)(44, 208)(45, 209)(46, 211)(47, 210)(48, 212)(49, 175)(50, 169)(51, 176)(52, 171)(53, 213)(54, 215)(55, 214)(56, 216)(57, 179)(58, 177)(59, 180)(60, 178)(61, 187)(62, 185)(63, 188)(64, 186)(65, 191)(66, 189)(67, 192)(68, 190)(69, 199)(70, 197)(71, 200)(72, 198)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1867
Graph:: simple bipartite
	v = 48 e = 144 f = 42
	degree seq :: [ 4^36, 12^12 ]

E28.1850 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, Y1 * Y2^-1 * Y1 * Y2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3)^2, Y2^6, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2 * Y3, Y2 * Y3 * Y2^3 * Y1 * Y3 * Y2^2, Y2^2 * R * Y2^-3 * R * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 6, 78)(4, 76, 7, 79)(5, 77, 8, 80)(9, 81, 15, 87)(10, 82, 16, 88)(11, 83, 17, 89)(12, 84, 18, 90)(13, 85, 19, 91)(14, 86, 20, 92)(21, 93, 32, 104)(22, 94, 33, 105)(23, 95, 34, 106)(24, 96, 35, 107)(25, 97, 36, 108)(26, 98, 37, 109)(27, 99, 38, 110)(28, 100, 39, 111)(29, 101, 40, 112)(30, 102, 41, 113)(31, 103, 42, 114)(43, 115, 50, 122)(44, 116, 56, 128)(45, 117, 55, 127)(46, 118, 58, 130)(47, 119, 59, 131)(48, 120, 60, 132)(49, 121, 57, 129)(51, 123, 61, 133)(52, 124, 62, 134)(53, 125, 63, 135)(54, 126, 64, 136)(65, 137, 72, 144)(66, 138, 69, 141)(67, 139, 71, 143)(68, 140, 70, 142)(145, 217, 147, 219, 153, 225, 165, 237, 158, 230, 149, 221)(146, 218, 150, 222, 159, 231, 176, 248, 164, 236, 152, 224)(148, 220, 155, 227, 169, 241, 194, 266, 172, 244, 156, 228)(151, 223, 161, 233, 180, 252, 187, 259, 183, 255, 162, 234)(154, 226, 167, 239, 190, 262, 186, 258, 193, 265, 168, 240)(157, 229, 173, 245, 199, 271, 177, 249, 200, 272, 174, 246)(160, 232, 178, 250, 202, 274, 175, 247, 201, 273, 179, 251)(163, 235, 184, 256, 189, 261, 166, 238, 188, 260, 185, 257)(170, 242, 191, 263, 209, 281, 208, 280, 214, 286, 196, 268)(171, 243, 192, 264, 210, 282, 205, 277, 215, 287, 197, 269)(181, 253, 203, 275, 216, 288, 198, 270, 212, 284, 206, 278)(182, 254, 204, 276, 213, 285, 195, 267, 211, 283, 207, 279)
	L = (1, 148)(2, 151)(3, 154)(4, 145)(5, 157)(6, 160)(7, 146)(8, 163)(9, 166)(10, 147)(11, 170)(12, 171)(13, 149)(14, 175)(15, 177)(16, 150)(17, 181)(18, 182)(19, 152)(20, 186)(21, 187)(22, 153)(23, 191)(24, 192)(25, 195)(26, 155)(27, 156)(28, 198)(29, 196)(30, 197)(31, 158)(32, 194)(33, 159)(34, 203)(35, 204)(36, 205)(37, 161)(38, 162)(39, 208)(40, 206)(41, 207)(42, 164)(43, 165)(44, 209)(45, 210)(46, 211)(47, 167)(48, 168)(49, 212)(50, 176)(51, 169)(52, 173)(53, 174)(54, 172)(55, 213)(56, 216)(57, 214)(58, 215)(59, 178)(60, 179)(61, 180)(62, 184)(63, 185)(64, 183)(65, 188)(66, 189)(67, 190)(68, 193)(69, 199)(70, 201)(71, 202)(72, 200)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1870
Graph:: simple bipartite
	v = 48 e = 144 f = 42
	degree seq :: [ 4^36, 12^12 ]

E28.1851 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y3 * Y2 * Y1 * Y3, (R * Y2 * Y3)^2, Y2^6, Y2^-1 * Y1 * Y2^-3 * Y3 * Y2^-2, Y2^-1 * Y1 * Y2^-1 * Y3 * Y2 * Y3 * Y2 * Y1, Y3 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 7, 79)(5, 77, 14, 86)(6, 78, 17, 89)(8, 80, 22, 94)(10, 82, 27, 99)(11, 83, 20, 92)(12, 84, 19, 91)(13, 85, 23, 95)(15, 87, 21, 93)(16, 88, 38, 110)(18, 90, 42, 114)(24, 96, 53, 125)(25, 97, 40, 112)(26, 98, 49, 121)(28, 100, 59, 131)(29, 101, 47, 119)(30, 102, 45, 117)(31, 103, 51, 123)(32, 104, 44, 116)(33, 105, 54, 126)(34, 106, 41, 113)(35, 107, 50, 122)(36, 108, 46, 118)(37, 109, 52, 124)(39, 111, 48, 120)(43, 115, 68, 140)(55, 127, 66, 138)(56, 128, 72, 144)(57, 129, 64, 136)(58, 130, 70, 142)(60, 132, 71, 143)(61, 133, 67, 139)(62, 134, 69, 141)(63, 135, 65, 137)(145, 217, 147, 219, 154, 226, 172, 244, 160, 232, 149, 221)(146, 218, 150, 222, 162, 234, 187, 259, 168, 240, 152, 224)(148, 220, 156, 228, 176, 248, 203, 275, 177, 249, 157, 229)(151, 223, 164, 236, 191, 263, 212, 284, 192, 264, 165, 237)(153, 225, 169, 241, 199, 271, 183, 255, 200, 272, 170, 242)(155, 227, 174, 246, 206, 278, 182, 254, 207, 279, 175, 247)(158, 230, 178, 250, 205, 277, 173, 245, 204, 276, 179, 251)(159, 231, 180, 252, 202, 274, 171, 243, 201, 273, 181, 253)(161, 233, 184, 256, 208, 280, 198, 270, 209, 281, 185, 257)(163, 235, 189, 261, 215, 287, 197, 269, 216, 288, 190, 262)(166, 238, 193, 265, 214, 286, 188, 260, 213, 285, 194, 266)(167, 239, 195, 267, 211, 283, 186, 258, 210, 282, 196, 268)
	L = (1, 148)(2, 151)(3, 155)(4, 145)(5, 159)(6, 163)(7, 146)(8, 167)(9, 164)(10, 173)(11, 147)(12, 161)(13, 166)(14, 165)(15, 149)(16, 183)(17, 156)(18, 188)(19, 150)(20, 153)(21, 158)(22, 157)(23, 152)(24, 198)(25, 189)(26, 195)(27, 191)(28, 187)(29, 154)(30, 184)(31, 193)(32, 186)(33, 197)(34, 190)(35, 196)(36, 185)(37, 194)(38, 192)(39, 160)(40, 174)(41, 180)(42, 176)(43, 172)(44, 162)(45, 169)(46, 178)(47, 171)(48, 182)(49, 175)(50, 181)(51, 170)(52, 179)(53, 177)(54, 168)(55, 213)(56, 209)(57, 215)(58, 211)(59, 212)(60, 208)(61, 214)(62, 210)(63, 216)(64, 204)(65, 200)(66, 206)(67, 202)(68, 203)(69, 199)(70, 205)(71, 201)(72, 207)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1868
Graph:: simple bipartite
	v = 48 e = 144 f = 42
	degree seq :: [ 4^36, 12^12 ]

E28.1852 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3 * Y1)^2, Y3^4, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2^3 * Y3^-1, Y1 * Y3^2 * Y1 * Y3^-2, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y1 * Y3 * Y2 * Y1, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2^-1, Y1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2 * Y1 * Y2^-1, Y2 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y1, (Y3 * Y2^-1)^12 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 10, 82)(5, 77, 18, 90)(6, 78, 8, 80)(7, 79, 24, 96)(9, 81, 31, 103)(12, 84, 39, 111)(13, 85, 35, 107)(14, 86, 28, 100)(15, 87, 27, 99)(16, 88, 29, 101)(17, 89, 34, 106)(19, 91, 36, 108)(20, 92, 50, 122)(21, 93, 30, 102)(22, 94, 26, 98)(23, 95, 32, 104)(25, 97, 45, 117)(33, 105, 44, 116)(37, 109, 53, 125)(38, 110, 59, 131)(40, 112, 57, 129)(41, 113, 63, 135)(42, 114, 55, 127)(43, 115, 61, 133)(46, 118, 54, 126)(47, 119, 60, 132)(48, 120, 58, 130)(49, 121, 64, 136)(51, 123, 56, 128)(52, 124, 62, 134)(65, 137, 70, 142)(66, 138, 69, 141)(67, 139, 71, 143)(68, 140, 72, 144)(145, 217, 147, 219, 156, 228, 160, 232, 164, 236, 149, 221)(146, 218, 151, 223, 169, 241, 173, 245, 177, 249, 153, 225)(148, 220, 159, 231, 167, 239, 150, 222, 166, 238, 161, 233)(152, 224, 172, 244, 180, 252, 154, 226, 179, 251, 174, 246)(155, 227, 181, 253, 209, 281, 194, 266, 210, 282, 182, 254)(157, 229, 184, 256, 187, 259, 158, 230, 186, 258, 185, 257)(162, 234, 190, 262, 212, 284, 183, 255, 211, 283, 191, 263)(163, 235, 192, 264, 196, 268, 165, 237, 195, 267, 193, 265)(168, 240, 197, 269, 215, 287, 188, 260, 213, 285, 198, 270)(170, 242, 199, 271, 202, 274, 171, 243, 201, 273, 200, 272)(175, 247, 203, 275, 216, 288, 189, 261, 214, 286, 204, 276)(176, 248, 205, 277, 208, 280, 178, 250, 207, 279, 206, 278)
	L = (1, 148)(2, 152)(3, 157)(4, 160)(5, 163)(6, 145)(7, 170)(8, 173)(9, 176)(10, 146)(11, 172)(12, 165)(13, 164)(14, 147)(15, 188)(16, 150)(17, 189)(18, 174)(19, 156)(20, 158)(21, 149)(22, 168)(23, 175)(24, 159)(25, 178)(26, 177)(27, 151)(28, 194)(29, 154)(30, 183)(31, 161)(32, 169)(33, 171)(34, 153)(35, 155)(36, 162)(37, 199)(38, 205)(39, 180)(40, 213)(41, 214)(42, 197)(43, 203)(44, 166)(45, 167)(46, 200)(47, 206)(48, 215)(49, 216)(50, 179)(51, 198)(52, 204)(53, 184)(54, 192)(55, 210)(56, 211)(57, 181)(58, 190)(59, 185)(60, 193)(61, 209)(62, 212)(63, 182)(64, 191)(65, 207)(66, 201)(67, 202)(68, 208)(69, 186)(70, 187)(71, 195)(72, 196)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1869
Graph:: simple bipartite
	v = 48 e = 144 f = 42
	degree seq :: [ 4^36, 12^12 ]

E28.1853 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x D24 (small group id <72, 28>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, Y2 * Y1 * Y2 * Y1^-1, (R * Y3)^2, (R * Y1)^2, Y2 * Y1^-6, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3, (Y3 * Y1^-3)^2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 6, 78, 15, 87, 24, 96, 10, 82, 3, 75, 7, 79, 16, 88, 32, 104, 14, 86, 5, 77)(4, 76, 11, 83, 25, 97, 50, 122, 46, 118, 22, 94, 9, 81, 21, 93, 43, 115, 33, 105, 28, 100, 12, 84)(8, 80, 19, 91, 39, 111, 31, 103, 56, 128, 38, 110, 18, 90, 37, 109, 60, 132, 49, 121, 42, 114, 20, 92)(13, 85, 29, 101, 55, 127, 34, 106, 57, 129, 48, 120, 23, 95, 47, 119, 36, 108, 17, 89, 35, 107, 30, 102)(26, 98, 40, 112, 58, 130, 54, 126, 64, 136, 66, 138, 44, 116, 61, 133, 71, 143, 68, 140, 70, 142, 52, 124)(27, 99, 41, 113, 59, 131, 65, 137, 72, 144, 67, 139, 45, 117, 62, 134, 69, 141, 51, 123, 63, 135, 53, 125)(145, 217, 147, 219)(146, 218, 151, 223)(148, 220, 153, 225)(149, 221, 154, 226)(150, 222, 160, 232)(152, 224, 162, 234)(155, 227, 165, 237)(156, 228, 166, 238)(157, 229, 167, 239)(158, 230, 168, 240)(159, 231, 176, 248)(161, 233, 178, 250)(163, 235, 181, 253)(164, 236, 182, 254)(169, 241, 187, 259)(170, 242, 188, 260)(171, 243, 189, 261)(172, 244, 190, 262)(173, 245, 191, 263)(174, 246, 192, 264)(175, 247, 193, 265)(177, 249, 194, 266)(179, 251, 201, 273)(180, 252, 199, 271)(183, 255, 204, 276)(184, 256, 205, 277)(185, 257, 206, 278)(186, 258, 200, 272)(195, 267, 209, 281)(196, 268, 210, 282)(197, 269, 211, 283)(198, 270, 212, 284)(202, 274, 215, 287)(203, 275, 213, 285)(207, 279, 216, 288)(208, 280, 214, 286)
	L = (1, 148)(2, 152)(3, 153)(4, 145)(5, 157)(6, 161)(7, 162)(8, 146)(9, 147)(10, 167)(11, 170)(12, 171)(13, 149)(14, 175)(15, 177)(16, 178)(17, 150)(18, 151)(19, 184)(20, 185)(21, 188)(22, 189)(23, 154)(24, 193)(25, 195)(26, 155)(27, 156)(28, 198)(29, 196)(30, 197)(31, 158)(32, 194)(33, 159)(34, 160)(35, 202)(36, 203)(37, 205)(38, 206)(39, 207)(40, 163)(41, 164)(42, 208)(43, 209)(44, 165)(45, 166)(46, 212)(47, 210)(48, 211)(49, 168)(50, 176)(51, 169)(52, 173)(53, 174)(54, 172)(55, 213)(56, 214)(57, 215)(58, 179)(59, 180)(60, 216)(61, 181)(62, 182)(63, 183)(64, 186)(65, 187)(66, 191)(67, 192)(68, 190)(69, 199)(70, 200)(71, 201)(72, 204)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1843
Graph:: bipartite
	v = 42 e = 144 f = 48
	degree seq :: [ 4^36, 24^6 ]

E28.1854 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, Y2 * Y1 * Y2 * Y1^-1, (R * Y1)^2, (Y3 * Y2)^2, (R * Y3)^2, (Y1^-2 * Y3)^2, Y2 * Y1^6, (Y3 * Y1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 6, 78, 15, 87, 24, 96, 10, 82, 3, 75, 7, 79, 16, 88, 29, 101, 14, 86, 5, 77)(4, 76, 11, 83, 25, 97, 41, 113, 31, 103, 22, 94, 9, 81, 21, 93, 37, 109, 32, 104, 17, 89, 12, 84)(8, 80, 19, 91, 13, 85, 28, 100, 45, 117, 34, 106, 18, 90, 33, 105, 23, 95, 40, 112, 30, 102, 20, 92)(26, 98, 42, 114, 27, 99, 44, 116, 47, 119, 54, 126, 38, 110, 53, 125, 39, 111, 55, 127, 57, 129, 43, 115)(35, 107, 50, 122, 36, 108, 52, 124, 56, 128, 63, 135, 48, 120, 62, 134, 49, 121, 61, 133, 46, 118, 51, 123)(58, 130, 65, 137, 59, 131, 70, 142, 69, 141, 71, 143, 67, 139, 72, 144, 68, 140, 66, 138, 60, 132, 64, 136)(145, 217, 147, 219)(146, 218, 151, 223)(148, 220, 153, 225)(149, 221, 154, 226)(150, 222, 160, 232)(152, 224, 162, 234)(155, 227, 165, 237)(156, 228, 166, 238)(157, 229, 167, 239)(158, 230, 168, 240)(159, 231, 173, 245)(161, 233, 175, 247)(163, 235, 177, 249)(164, 236, 178, 250)(169, 241, 181, 253)(170, 242, 182, 254)(171, 243, 183, 255)(172, 244, 184, 256)(174, 246, 189, 261)(176, 248, 185, 257)(179, 251, 192, 264)(180, 252, 193, 265)(186, 258, 197, 269)(187, 259, 198, 270)(188, 260, 199, 271)(190, 262, 200, 272)(191, 263, 201, 273)(194, 266, 206, 278)(195, 267, 207, 279)(196, 268, 205, 277)(202, 274, 211, 283)(203, 275, 212, 284)(204, 276, 213, 285)(208, 280, 215, 287)(209, 281, 216, 288)(210, 282, 214, 286)
	L = (1, 148)(2, 152)(3, 153)(4, 145)(5, 157)(6, 161)(7, 162)(8, 146)(9, 147)(10, 167)(11, 170)(12, 171)(13, 149)(14, 169)(15, 174)(16, 175)(17, 150)(18, 151)(19, 179)(20, 180)(21, 182)(22, 183)(23, 154)(24, 181)(25, 158)(26, 155)(27, 156)(28, 190)(29, 189)(30, 159)(31, 160)(32, 191)(33, 192)(34, 193)(35, 163)(36, 164)(37, 168)(38, 165)(39, 166)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 173)(46, 172)(47, 176)(48, 177)(49, 178)(50, 208)(51, 209)(52, 210)(53, 211)(54, 212)(55, 213)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 214)(62, 215)(63, 216)(64, 194)(65, 195)(66, 196)(67, 197)(68, 198)(69, 199)(70, 205)(71, 206)(72, 207)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1845
Graph:: bipartite
	v = 42 e = 144 f = 48
	degree seq :: [ 4^36, 24^6 ]

E28.1855 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x D24 (small group id <72, 28>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y2)^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y2 * Y1 * Y3 * Y2 * Y1^-1, Y1^-1 * Y2 * Y3 * Y1^-5, Y2 * Y1^3 * Y3 * Y1^-3, Y3 * Y1^-1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1^-1, (Y3 * Y1^-3)^2, (Y3 * Y1^-1)^6 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 6, 78, 17, 89, 41, 113, 28, 100, 10, 82, 21, 93, 45, 117, 40, 112, 16, 88, 5, 77)(3, 75, 9, 81, 25, 97, 43, 115, 33, 105, 13, 85, 4, 76, 12, 84, 32, 104, 42, 114, 31, 103, 11, 83)(7, 79, 20, 92, 49, 121, 38, 110, 56, 128, 24, 96, 8, 80, 23, 95, 55, 127, 39, 111, 54, 126, 22, 94)(14, 86, 34, 106, 48, 120, 19, 91, 47, 119, 37, 109, 15, 87, 36, 108, 46, 118, 18, 90, 44, 116, 35, 107)(26, 98, 50, 122, 65, 137, 63, 135, 71, 143, 60, 132, 27, 99, 51, 123, 66, 138, 64, 136, 72, 144, 59, 131)(29, 101, 52, 124, 67, 139, 58, 130, 70, 142, 62, 134, 30, 102, 53, 125, 68, 140, 57, 129, 69, 141, 61, 133)(145, 217, 147, 219)(146, 218, 151, 223)(148, 220, 154, 226)(149, 221, 158, 230)(150, 222, 162, 234)(152, 224, 165, 237)(153, 225, 170, 242)(155, 227, 173, 245)(156, 228, 171, 243)(157, 229, 174, 246)(159, 231, 172, 244)(160, 232, 182, 254)(161, 233, 186, 258)(163, 235, 189, 261)(164, 236, 194, 266)(166, 238, 196, 268)(167, 239, 195, 267)(168, 240, 197, 269)(169, 241, 201, 273)(175, 247, 207, 279)(176, 248, 202, 274)(177, 249, 208, 280)(178, 250, 203, 275)(179, 251, 205, 277)(180, 252, 204, 276)(181, 253, 206, 278)(183, 255, 185, 257)(184, 256, 187, 259)(188, 260, 209, 281)(190, 262, 211, 283)(191, 263, 210, 282)(192, 264, 212, 284)(193, 265, 213, 285)(198, 270, 215, 287)(199, 271, 214, 286)(200, 272, 216, 288)
	L = (1, 148)(2, 152)(3, 154)(4, 145)(5, 159)(6, 163)(7, 165)(8, 146)(9, 171)(10, 147)(11, 174)(12, 170)(13, 173)(14, 172)(15, 149)(16, 183)(17, 187)(18, 189)(19, 150)(20, 195)(21, 151)(22, 197)(23, 194)(24, 196)(25, 202)(26, 156)(27, 153)(28, 158)(29, 157)(30, 155)(31, 208)(32, 201)(33, 207)(34, 204)(35, 206)(36, 203)(37, 205)(38, 185)(39, 160)(40, 186)(41, 182)(42, 184)(43, 161)(44, 210)(45, 162)(46, 212)(47, 209)(48, 211)(49, 214)(50, 167)(51, 164)(52, 168)(53, 166)(54, 216)(55, 213)(56, 215)(57, 176)(58, 169)(59, 180)(60, 178)(61, 181)(62, 179)(63, 177)(64, 175)(65, 191)(66, 188)(67, 192)(68, 190)(69, 199)(70, 193)(71, 200)(72, 198)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1842
Graph:: bipartite
	v = 42 e = 144 f = 48
	degree seq :: [ 4^36, 24^6 ]

E28.1856 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x D24 (small group id <72, 28>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1^-3 * Y3^-1, (Y1^-1, Y3^-1), (Y3 * Y2)^2, Y3^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, (R * Y2 * Y1^-1 * Y2)^2 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 7, 79, 6, 78, 10, 82, 19, 91, 15, 87, 24, 96, 16, 88, 4, 76, 9, 81, 5, 77)(3, 75, 11, 83, 25, 97, 14, 86, 28, 100, 46, 118, 29, 101, 50, 122, 30, 102, 12, 84, 27, 99, 13, 85)(8, 80, 20, 92, 38, 110, 23, 95, 41, 113, 60, 132, 42, 114, 63, 135, 43, 115, 21, 93, 40, 112, 22, 94)(17, 89, 33, 105, 54, 126, 32, 104, 53, 125, 57, 129, 36, 108, 56, 128, 37, 109, 18, 90, 35, 107, 34, 106)(26, 98, 39, 111, 55, 127, 49, 121, 62, 134, 69, 141, 67, 139, 72, 144, 68, 140, 47, 119, 61, 133, 48, 120)(31, 103, 44, 116, 58, 130, 51, 123, 64, 136, 70, 142, 65, 137, 71, 143, 66, 138, 45, 117, 59, 131, 52, 124)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 158, 230)(149, 221, 161, 233)(150, 222, 156, 228)(151, 223, 162, 234)(153, 225, 167, 239)(154, 226, 165, 237)(155, 227, 170, 242)(157, 229, 175, 247)(159, 231, 173, 245)(160, 232, 176, 248)(163, 235, 180, 252)(164, 236, 183, 255)(166, 238, 188, 260)(168, 240, 186, 258)(169, 241, 189, 261)(171, 243, 193, 265)(172, 244, 191, 263)(174, 246, 195, 267)(177, 249, 192, 264)(178, 250, 196, 268)(179, 251, 199, 271)(181, 253, 202, 274)(182, 254, 203, 275)(184, 256, 206, 278)(185, 257, 205, 277)(187, 259, 208, 280)(190, 262, 209, 281)(194, 266, 211, 283)(197, 269, 212, 284)(198, 270, 210, 282)(200, 272, 213, 285)(201, 273, 214, 286)(204, 276, 215, 287)(207, 279, 216, 288)
	L = (1, 148)(2, 153)(3, 156)(4, 159)(5, 160)(6, 145)(7, 149)(8, 165)(9, 168)(10, 146)(11, 171)(12, 173)(13, 174)(14, 147)(15, 150)(16, 163)(17, 162)(18, 180)(19, 151)(20, 184)(21, 186)(22, 187)(23, 152)(24, 154)(25, 157)(26, 191)(27, 194)(28, 155)(29, 158)(30, 190)(31, 189)(32, 161)(33, 179)(34, 181)(35, 200)(36, 176)(37, 201)(38, 166)(39, 205)(40, 207)(41, 164)(42, 167)(43, 204)(44, 203)(45, 209)(46, 169)(47, 211)(48, 212)(49, 170)(50, 172)(51, 175)(52, 210)(53, 177)(54, 178)(55, 192)(56, 197)(57, 198)(58, 196)(59, 215)(60, 182)(61, 216)(62, 183)(63, 185)(64, 188)(65, 195)(66, 214)(67, 193)(68, 213)(69, 199)(70, 202)(71, 208)(72, 206)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1837
Graph:: bipartite
	v = 42 e = 144 f = 48
	degree seq :: [ 4^36, 24^6 ]

E28.1857 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, Y3^4, (R * Y1)^2, (Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, (Y3 * Y1^-1)^3, Y1 * Y3 * Y1^-2 * Y3^-1 * Y1, (Y3 * Y2 * Y1^2)^2, Y3^-1 * Y1^-2 * Y3^-1 * Y1^-4 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 7, 79, 22, 94, 47, 119, 43, 115, 15, 87, 29, 101, 54, 126, 45, 117, 18, 90, 5, 77)(3, 75, 11, 83, 33, 105, 61, 133, 70, 142, 57, 129, 37, 109, 65, 137, 67, 139, 48, 120, 23, 95, 8, 80)(4, 76, 14, 86, 24, 96, 53, 125, 46, 118, 21, 93, 6, 78, 20, 92, 25, 97, 55, 127, 44, 116, 16, 88)(9, 81, 28, 100, 49, 121, 42, 114, 19, 91, 32, 104, 10, 82, 31, 103, 50, 122, 41, 113, 17, 89, 30, 102)(12, 84, 36, 108, 62, 134, 72, 144, 52, 124, 40, 112, 13, 85, 39, 111, 63, 135, 71, 143, 51, 123, 38, 110)(26, 98, 56, 128, 34, 106, 64, 136, 69, 141, 60, 132, 27, 99, 59, 131, 35, 107, 66, 138, 68, 140, 58, 130)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 157, 229)(149, 221, 155, 227)(150, 222, 156, 228)(151, 223, 167, 239)(153, 225, 171, 243)(154, 226, 170, 242)(158, 230, 184, 256)(159, 231, 181, 253)(160, 232, 183, 255)(161, 233, 179, 251)(162, 234, 177, 249)(163, 235, 178, 250)(164, 236, 182, 254)(165, 237, 180, 252)(166, 238, 192, 264)(168, 240, 196, 268)(169, 241, 195, 267)(172, 244, 204, 276)(173, 245, 201, 273)(174, 246, 203, 275)(175, 247, 202, 274)(176, 248, 200, 272)(185, 257, 210, 282)(186, 258, 208, 280)(187, 259, 209, 281)(188, 260, 207, 279)(189, 261, 205, 277)(190, 262, 206, 278)(191, 263, 211, 283)(193, 265, 213, 285)(194, 266, 212, 284)(197, 269, 216, 288)(198, 270, 214, 286)(199, 271, 215, 287)
	L = (1, 148)(2, 153)(3, 156)(4, 159)(5, 161)(6, 145)(7, 168)(8, 170)(9, 173)(10, 146)(11, 178)(12, 181)(13, 147)(14, 185)(15, 150)(16, 175)(17, 187)(18, 188)(19, 149)(20, 186)(21, 172)(22, 193)(23, 195)(24, 198)(25, 151)(26, 201)(27, 152)(28, 160)(29, 154)(30, 199)(31, 165)(32, 197)(33, 206)(34, 209)(35, 155)(36, 202)(37, 157)(38, 210)(39, 204)(40, 208)(41, 164)(42, 158)(43, 163)(44, 191)(45, 194)(46, 162)(47, 190)(48, 212)(49, 189)(50, 166)(51, 214)(52, 167)(53, 174)(54, 169)(55, 176)(56, 215)(57, 171)(58, 183)(59, 216)(60, 180)(61, 213)(62, 211)(63, 177)(64, 182)(65, 179)(66, 184)(67, 207)(68, 205)(69, 192)(70, 196)(71, 203)(72, 200)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1838
Graph:: simple bipartite
	v = 42 e = 144 f = 48
	degree seq :: [ 4^36, 24^6 ]

E28.1858 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x D24 (small group id <72, 28>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3^-1, Y1^-1), (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y3^2 * Y1^-2, Y2 * Y1^2 * Y2 * Y1^-2, Y1^-3 * R * Y2 * R * Y3^-1 * Y2, Y1^-2 * Y3 * R * Y2 * R * Y2 * Y1^-1, Y3 * Y2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y2 * Y1^-1, (Y2 * Y1^-1 * Y2 * Y1)^2, Y3^-1 * Y2 * R * Y1 * Y2 * R * Y1^-2, Y2 * Y3^-1 * Y1^-2 * Y3^-2 * Y2 * Y1^-1, (Y1^-1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 7, 79, 21, 93, 46, 118, 36, 108, 58, 130, 31, 103, 53, 125, 43, 115, 18, 90, 5, 77)(3, 75, 11, 83, 22, 94, 49, 121, 42, 114, 17, 89, 27, 99, 8, 80, 25, 97, 47, 119, 37, 109, 13, 85)(4, 76, 9, 81, 23, 95, 48, 120, 67, 139, 65, 137, 72, 144, 61, 133, 45, 117, 20, 92, 30, 102, 16, 88)(6, 78, 10, 82, 24, 96, 15, 87, 29, 101, 52, 124, 69, 141, 62, 134, 71, 143, 66, 138, 44, 116, 19, 91)(12, 84, 32, 104, 50, 122, 70, 142, 60, 132, 41, 113, 57, 129, 26, 98, 54, 126, 39, 111, 64, 136, 35, 107)(14, 86, 33, 105, 51, 123, 34, 106, 63, 135, 40, 112, 59, 131, 28, 100, 55, 127, 68, 140, 56, 128, 38, 110)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 158, 230)(149, 221, 161, 233)(150, 222, 156, 228)(151, 223, 166, 238)(153, 225, 172, 244)(154, 226, 170, 242)(155, 227, 175, 247)(157, 229, 180, 252)(159, 231, 183, 255)(160, 232, 184, 256)(162, 234, 181, 253)(163, 235, 185, 257)(164, 236, 178, 250)(165, 237, 191, 263)(167, 239, 195, 267)(168, 240, 194, 266)(169, 241, 197, 269)(171, 243, 202, 274)(173, 245, 204, 276)(174, 246, 200, 272)(176, 248, 206, 278)(177, 249, 205, 277)(179, 251, 196, 268)(182, 254, 209, 281)(186, 258, 190, 262)(187, 259, 193, 265)(188, 260, 208, 280)(189, 261, 199, 271)(192, 264, 212, 284)(198, 270, 215, 287)(201, 273, 213, 285)(203, 275, 216, 288)(207, 279, 211, 283)(210, 282, 214, 286)
	L = (1, 148)(2, 153)(3, 156)(4, 159)(5, 160)(6, 145)(7, 167)(8, 170)(9, 173)(10, 146)(11, 176)(12, 178)(13, 179)(14, 147)(15, 165)(16, 168)(17, 185)(18, 174)(19, 149)(20, 150)(21, 192)(22, 194)(23, 196)(24, 151)(25, 198)(26, 200)(27, 201)(28, 152)(29, 190)(30, 154)(31, 205)(32, 207)(33, 155)(34, 193)(35, 195)(36, 209)(37, 208)(38, 157)(39, 158)(40, 161)(41, 199)(42, 204)(43, 164)(44, 162)(45, 163)(46, 211)(47, 183)(48, 213)(49, 214)(50, 184)(51, 166)(52, 180)(53, 189)(54, 182)(55, 169)(56, 181)(57, 212)(58, 216)(59, 171)(60, 172)(61, 188)(62, 175)(63, 186)(64, 177)(65, 215)(66, 187)(67, 206)(68, 191)(69, 202)(70, 203)(71, 197)(72, 210)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1840
Graph:: simple bipartite
	v = 42 e = 144 f = 48
	degree seq :: [ 4^36, 24^6 ]

E28.1859 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x D24 (small group id <72, 28>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3^-1, Y1^-1), (Y2 * Y3)^2, (R * Y3)^2, (R * Y1^-1)^2, Y3^-1 * Y2 * Y1^-2 * Y2 * Y1^-1, Y3^3 * Y1^-3, Y3^-1 * Y1 * Y3^-1 * Y2 * Y1^-1 * Y2, Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y1^12 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 7, 79, 21, 93, 37, 109, 49, 121, 61, 133, 58, 130, 46, 118, 34, 106, 18, 90, 5, 77)(3, 75, 11, 83, 31, 103, 43, 115, 55, 127, 67, 139, 70, 142, 65, 137, 52, 124, 38, 110, 28, 100, 13, 85)(4, 76, 9, 81, 23, 95, 39, 111, 51, 123, 63, 135, 60, 132, 48, 120, 36, 108, 20, 92, 30, 102, 16, 88)(6, 78, 10, 82, 24, 96, 15, 87, 29, 101, 42, 114, 54, 126, 66, 138, 59, 131, 47, 119, 35, 107, 19, 91)(8, 80, 25, 97, 12, 84, 32, 104, 44, 116, 56, 128, 68, 140, 72, 144, 64, 136, 50, 122, 41, 113, 27, 99)(14, 86, 26, 98, 17, 89, 33, 105, 45, 117, 57, 129, 69, 141, 71, 143, 62, 134, 53, 125, 40, 112, 22, 94)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 158, 230)(149, 221, 161, 233)(150, 222, 156, 228)(151, 223, 166, 238)(153, 225, 172, 244)(154, 226, 170, 242)(155, 227, 174, 246)(157, 229, 168, 240)(159, 231, 171, 243)(160, 232, 169, 241)(162, 234, 176, 248)(163, 235, 175, 247)(164, 236, 177, 249)(165, 237, 182, 254)(167, 239, 185, 257)(173, 245, 184, 256)(178, 250, 187, 259)(179, 251, 189, 261)(180, 252, 188, 260)(181, 253, 194, 266)(183, 255, 197, 269)(186, 258, 196, 268)(190, 262, 201, 273)(191, 263, 200, 272)(192, 264, 199, 271)(193, 265, 206, 278)(195, 267, 209, 281)(198, 270, 208, 280)(202, 274, 212, 284)(203, 275, 211, 283)(204, 276, 213, 285)(205, 277, 214, 286)(207, 279, 216, 288)(210, 282, 215, 287)
	L = (1, 148)(2, 153)(3, 156)(4, 159)(5, 160)(6, 145)(7, 167)(8, 170)(9, 173)(10, 146)(11, 176)(12, 177)(13, 169)(14, 147)(15, 165)(16, 168)(17, 175)(18, 174)(19, 149)(20, 150)(21, 183)(22, 157)(23, 186)(24, 151)(25, 161)(26, 155)(27, 158)(28, 152)(29, 181)(30, 154)(31, 188)(32, 189)(33, 187)(34, 164)(35, 162)(36, 163)(37, 195)(38, 171)(39, 198)(40, 172)(41, 166)(42, 193)(43, 200)(44, 201)(45, 199)(46, 180)(47, 178)(48, 179)(49, 207)(50, 184)(51, 210)(52, 185)(53, 182)(54, 205)(55, 212)(56, 213)(57, 211)(58, 192)(59, 190)(60, 191)(61, 204)(62, 196)(63, 203)(64, 197)(65, 194)(66, 202)(67, 216)(68, 215)(69, 214)(70, 208)(71, 209)(72, 206)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1839
Graph:: simple bipartite
	v = 42 e = 144 f = 48
	degree seq :: [ 4^36, 24^6 ]

E28.1860 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x D24 (small group id <72, 28>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y1^-1, Y3^-1), (R * Y3)^2, (Y2 * Y3)^2, (R * Y1)^2, Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1^-1, Y3^-2 * Y2 * Y1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^-3 * Y3^3, (Y1^-1 * Y2 * Y1^-2)^2, Y1^12 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 7, 79, 21, 93, 43, 115, 63, 135, 72, 144, 71, 143, 57, 129, 41, 113, 18, 90, 5, 77)(3, 75, 11, 83, 31, 103, 53, 125, 26, 98, 49, 121, 67, 139, 61, 133, 38, 110, 44, 116, 35, 107, 13, 85)(4, 76, 9, 81, 23, 95, 45, 117, 64, 136, 55, 127, 69, 141, 58, 130, 34, 106, 20, 92, 30, 102, 16, 88)(6, 78, 10, 82, 24, 96, 15, 87, 29, 101, 50, 122, 66, 138, 59, 131, 70, 142, 62, 134, 42, 114, 19, 91)(8, 80, 25, 97, 51, 123, 40, 112, 47, 119, 65, 137, 60, 132, 36, 108, 14, 86, 32, 104, 54, 126, 27, 99)(12, 84, 28, 100, 52, 124, 68, 140, 48, 120, 22, 94, 46, 118, 39, 111, 17, 89, 37, 109, 56, 128, 33, 105)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 158, 230)(149, 221, 161, 233)(150, 222, 156, 228)(151, 223, 166, 238)(153, 225, 172, 244)(154, 226, 170, 242)(155, 227, 173, 245)(157, 229, 178, 250)(159, 231, 181, 253)(160, 232, 182, 254)(162, 234, 184, 256)(163, 235, 180, 252)(164, 236, 171, 243)(165, 237, 188, 260)(167, 239, 193, 265)(168, 240, 191, 263)(169, 241, 194, 266)(174, 246, 192, 264)(175, 247, 199, 271)(176, 248, 187, 259)(177, 249, 201, 273)(179, 251, 203, 275)(183, 255, 202, 274)(185, 257, 197, 269)(186, 258, 205, 277)(189, 261, 209, 281)(190, 262, 210, 282)(195, 267, 213, 285)(196, 268, 207, 279)(198, 270, 214, 286)(200, 272, 208, 280)(204, 276, 215, 287)(206, 278, 212, 284)(211, 283, 216, 288)
	L = (1, 148)(2, 153)(3, 156)(4, 159)(5, 160)(6, 145)(7, 167)(8, 170)(9, 173)(10, 146)(11, 172)(12, 171)(13, 177)(14, 147)(15, 165)(16, 168)(17, 180)(18, 174)(19, 149)(20, 150)(21, 189)(22, 191)(23, 194)(24, 151)(25, 193)(26, 192)(27, 197)(28, 152)(29, 187)(30, 154)(31, 196)(32, 155)(33, 198)(34, 163)(35, 200)(36, 157)(37, 158)(38, 161)(39, 204)(40, 205)(41, 164)(42, 162)(43, 208)(44, 181)(45, 210)(46, 209)(47, 182)(48, 184)(49, 166)(50, 207)(51, 211)(52, 169)(53, 212)(54, 175)(55, 214)(56, 176)(57, 178)(58, 186)(59, 215)(60, 179)(61, 183)(62, 185)(63, 199)(64, 203)(65, 188)(66, 216)(67, 190)(68, 195)(69, 206)(70, 201)(71, 202)(72, 213)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1835
Graph:: simple bipartite
	v = 42 e = 144 f = 48
	degree seq :: [ 4^36, 24^6 ]

E28.1861 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2 * Y1^-2, (Y3 * Y2)^2, (R * Y3)^2, (Y1^-1 * Y2)^2, (R * Y1)^2, Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3^2 * Y1^10, (Y3^-1 * Y1^-1)^6 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 7, 79, 19, 91, 35, 107, 49, 121, 61, 133, 58, 130, 46, 118, 32, 104, 16, 88, 5, 77)(3, 75, 11, 83, 27, 99, 43, 115, 55, 127, 67, 139, 70, 142, 62, 134, 50, 122, 36, 108, 20, 92, 8, 80)(4, 76, 14, 86, 21, 93, 39, 111, 51, 123, 65, 137, 59, 131, 48, 120, 33, 105, 18, 90, 6, 78, 15, 87)(9, 81, 24, 96, 37, 109, 53, 125, 63, 135, 60, 132, 47, 119, 34, 106, 17, 89, 26, 98, 10, 82, 25, 97)(12, 84, 29, 101, 44, 116, 57, 129, 68, 140, 72, 144, 64, 136, 54, 126, 38, 110, 31, 103, 13, 85, 30, 102)(22, 94, 40, 112, 28, 100, 45, 117, 56, 128, 69, 141, 71, 143, 66, 138, 52, 124, 42, 114, 23, 95, 41, 113)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 157, 229)(149, 221, 155, 227)(150, 222, 156, 228)(151, 223, 164, 236)(153, 225, 167, 239)(154, 226, 166, 238)(158, 230, 175, 247)(159, 231, 174, 246)(160, 232, 171, 243)(161, 233, 172, 244)(162, 234, 173, 245)(163, 235, 180, 252)(165, 237, 182, 254)(168, 240, 186, 258)(169, 241, 185, 257)(170, 242, 184, 256)(176, 248, 187, 259)(177, 249, 188, 260)(178, 250, 189, 261)(179, 251, 194, 266)(181, 253, 196, 268)(183, 255, 198, 270)(190, 262, 199, 271)(191, 263, 200, 272)(192, 264, 201, 273)(193, 265, 206, 278)(195, 267, 208, 280)(197, 269, 210, 282)(202, 274, 211, 283)(203, 275, 212, 284)(204, 276, 213, 285)(205, 277, 214, 286)(207, 279, 215, 287)(209, 281, 216, 288)
	L = (1, 148)(2, 153)(3, 156)(4, 151)(5, 154)(6, 145)(7, 165)(8, 166)(9, 163)(10, 146)(11, 172)(12, 171)(13, 147)(14, 168)(15, 169)(16, 150)(17, 149)(18, 170)(19, 181)(20, 157)(21, 179)(22, 155)(23, 152)(24, 183)(25, 158)(26, 159)(27, 188)(28, 187)(29, 189)(30, 184)(31, 185)(32, 161)(33, 160)(34, 162)(35, 195)(36, 167)(37, 193)(38, 164)(39, 197)(40, 173)(41, 174)(42, 175)(43, 200)(44, 199)(45, 201)(46, 177)(47, 176)(48, 178)(49, 207)(50, 182)(51, 205)(52, 180)(53, 209)(54, 186)(55, 212)(56, 211)(57, 213)(58, 191)(59, 190)(60, 192)(61, 203)(62, 196)(63, 202)(64, 194)(65, 204)(66, 198)(67, 215)(68, 214)(69, 216)(70, 208)(71, 206)(72, 210)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1841
Graph:: simple bipartite
	v = 42 e = 144 f = 48
	degree seq :: [ 4^36, 24^6 ]

E28.1862 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2 * Y1^2, (Y3 * Y2)^2, Y3^-1 * Y1^-2 * Y3^-1, (Y2 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y1 * Y3 * Y1^-2 * Y3^-1 * Y1, Y3^2 * Y1^-1 * Y3^-2 * Y1, (R * Y2 * Y3^-1)^2, (Y3 * Y1^-1)^3, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^5 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 7, 79, 19, 91, 37, 109, 55, 127, 67, 139, 66, 138, 54, 126, 35, 107, 15, 87, 5, 77)(3, 75, 11, 83, 27, 99, 47, 119, 63, 135, 71, 143, 72, 144, 68, 140, 56, 128, 38, 110, 20, 92, 8, 80)(4, 76, 14, 86, 6, 78, 18, 90, 21, 93, 41, 113, 57, 129, 45, 117, 62, 134, 46, 118, 34, 106, 16, 88)(9, 81, 24, 96, 10, 82, 26, 98, 39, 111, 32, 104, 52, 124, 33, 105, 53, 125, 36, 108, 17, 89, 25, 97)(12, 84, 29, 101, 13, 85, 31, 103, 48, 120, 60, 132, 70, 142, 61, 133, 69, 141, 59, 131, 40, 112, 30, 102)(22, 94, 42, 114, 23, 95, 44, 116, 28, 100, 49, 121, 64, 136, 50, 122, 65, 137, 51, 123, 58, 130, 43, 115)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 157, 229)(149, 221, 155, 227)(150, 222, 156, 228)(151, 223, 164, 236)(153, 225, 167, 239)(154, 226, 166, 238)(158, 230, 173, 245)(159, 231, 171, 243)(160, 232, 175, 247)(161, 233, 172, 244)(162, 234, 174, 246)(163, 235, 182, 254)(165, 237, 184, 256)(168, 240, 186, 258)(169, 241, 188, 260)(170, 242, 187, 259)(176, 248, 195, 267)(177, 249, 194, 266)(178, 250, 192, 264)(179, 251, 191, 263)(180, 252, 193, 265)(181, 253, 200, 272)(183, 255, 202, 274)(185, 257, 203, 275)(189, 261, 205, 277)(190, 262, 204, 276)(196, 268, 209, 281)(197, 269, 208, 280)(198, 270, 207, 279)(199, 271, 212, 284)(201, 273, 213, 285)(206, 278, 214, 286)(210, 282, 215, 287)(211, 283, 216, 288)
	L = (1, 148)(2, 153)(3, 156)(4, 159)(5, 161)(6, 145)(7, 150)(8, 166)(9, 149)(10, 146)(11, 167)(12, 164)(13, 147)(14, 176)(15, 178)(16, 170)(17, 179)(18, 177)(19, 154)(20, 184)(21, 151)(22, 182)(23, 152)(24, 189)(25, 185)(26, 190)(27, 157)(28, 155)(29, 194)(30, 193)(31, 195)(32, 160)(33, 158)(34, 198)(35, 197)(36, 162)(37, 165)(38, 202)(39, 163)(40, 200)(41, 180)(42, 204)(43, 175)(44, 205)(45, 169)(46, 168)(47, 172)(48, 171)(49, 203)(50, 174)(51, 173)(52, 199)(53, 210)(54, 206)(55, 183)(56, 213)(57, 181)(58, 212)(59, 188)(60, 187)(61, 186)(62, 211)(63, 192)(64, 191)(65, 215)(66, 196)(67, 201)(68, 209)(69, 216)(70, 207)(71, 208)(72, 214)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1836
Graph:: simple bipartite
	v = 42 e = 144 f = 48
	degree seq :: [ 4^36, 24^6 ]

E28.1863 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, (Y1^2 * Y2)^2, Y3 * Y1 * Y3 * Y2 * Y1^-1 * Y2, (Y1^-2 * Y2)^2, (Y3 * Y1^-2)^2, Y1^3 * Y2 * Y3 * Y1^3, Y2 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 6, 78, 17, 89, 35, 107, 28, 100, 10, 82, 21, 93, 38, 110, 34, 106, 16, 88, 5, 77)(3, 75, 9, 81, 25, 97, 40, 112, 19, 91, 13, 85, 4, 76, 12, 84, 31, 103, 39, 111, 18, 90, 11, 83)(7, 79, 20, 92, 14, 86, 32, 104, 37, 109, 24, 96, 8, 80, 23, 95, 15, 87, 33, 105, 36, 108, 22, 94)(26, 98, 45, 117, 29, 101, 49, 121, 53, 125, 48, 120, 27, 99, 47, 119, 30, 102, 50, 122, 54, 126, 46, 118)(41, 113, 55, 127, 43, 115, 59, 131, 52, 124, 58, 130, 42, 114, 57, 129, 44, 116, 60, 132, 51, 123, 56, 128)(61, 133, 69, 141, 63, 135, 72, 144, 66, 138, 68, 140, 62, 134, 70, 142, 64, 136, 71, 143, 65, 137, 67, 139)(145, 217, 147, 219)(146, 218, 151, 223)(148, 220, 154, 226)(149, 221, 158, 230)(150, 222, 162, 234)(152, 224, 165, 237)(153, 225, 170, 242)(155, 227, 173, 245)(156, 228, 171, 243)(157, 229, 174, 246)(159, 231, 172, 244)(160, 232, 169, 241)(161, 233, 180, 252)(163, 235, 182, 254)(164, 236, 185, 257)(166, 238, 187, 259)(167, 239, 186, 258)(168, 240, 188, 260)(175, 247, 179, 251)(176, 248, 195, 267)(177, 249, 196, 268)(178, 250, 181, 253)(183, 255, 197, 269)(184, 256, 198, 270)(189, 261, 205, 277)(190, 262, 207, 279)(191, 263, 206, 278)(192, 264, 208, 280)(193, 265, 209, 281)(194, 266, 210, 282)(199, 271, 211, 283)(200, 272, 213, 285)(201, 273, 212, 284)(202, 274, 214, 286)(203, 275, 215, 287)(204, 276, 216, 288)
	L = (1, 148)(2, 152)(3, 154)(4, 145)(5, 159)(6, 163)(7, 165)(8, 146)(9, 171)(10, 147)(11, 174)(12, 170)(13, 173)(14, 172)(15, 149)(16, 175)(17, 181)(18, 182)(19, 150)(20, 186)(21, 151)(22, 188)(23, 185)(24, 187)(25, 179)(26, 156)(27, 153)(28, 158)(29, 157)(30, 155)(31, 160)(32, 196)(33, 195)(34, 180)(35, 169)(36, 178)(37, 161)(38, 162)(39, 198)(40, 197)(41, 167)(42, 164)(43, 168)(44, 166)(45, 206)(46, 208)(47, 205)(48, 207)(49, 210)(50, 209)(51, 177)(52, 176)(53, 184)(54, 183)(55, 212)(56, 214)(57, 211)(58, 213)(59, 216)(60, 215)(61, 191)(62, 189)(63, 192)(64, 190)(65, 194)(66, 193)(67, 201)(68, 199)(69, 202)(70, 200)(71, 204)(72, 203)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1844
Graph:: bipartite
	v = 42 e = 144 f = 48
	degree seq :: [ 4^36, 24^6 ]

E28.1864 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = C2 x ((C6 x S3) : C2) (small group id <144, 151>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1^-1)^2, Y3^4, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1, Y1^-1 * Y3^-2 * Y1 * Y3^-2, (Y3 * Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1, (Y1 * Y2 * Y1)^2, Y3^-1 * Y1^2 * Y3 * Y1^-2, Y1^-1 * Y3^2 * Y1^-5, Y2 * R * Y3 * Y1 * Y3 * Y2 * R * Y1^-1 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 7, 79, 24, 96, 50, 122, 46, 118, 16, 88, 33, 105, 58, 130, 48, 120, 20, 92, 5, 77)(3, 75, 11, 83, 37, 109, 60, 132, 71, 143, 67, 139, 40, 112, 62, 134, 68, 140, 55, 127, 25, 97, 13, 85)(4, 76, 15, 87, 26, 98, 57, 129, 49, 121, 23, 95, 6, 78, 22, 94, 27, 99, 59, 131, 47, 119, 17, 89)(8, 80, 28, 100, 18, 90, 43, 115, 65, 137, 38, 110, 61, 133, 72, 144, 66, 138, 42, 114, 51, 123, 30, 102)(9, 81, 32, 104, 52, 124, 41, 113, 21, 93, 36, 108, 10, 82, 35, 107, 53, 125, 45, 117, 19, 91, 34, 106)(12, 84, 39, 111, 63, 135, 70, 142, 56, 128, 31, 103, 14, 86, 44, 116, 64, 136, 69, 141, 54, 126, 29, 101)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 158, 230)(149, 221, 162, 234)(150, 222, 156, 228)(151, 223, 169, 241)(153, 225, 175, 247)(154, 226, 173, 245)(155, 227, 176, 248)(157, 229, 185, 257)(159, 231, 187, 259)(160, 232, 184, 256)(161, 233, 182, 254)(163, 235, 188, 260)(164, 236, 181, 253)(165, 237, 183, 255)(166, 238, 186, 258)(167, 239, 174, 246)(168, 240, 195, 267)(170, 242, 200, 272)(171, 243, 198, 270)(172, 244, 201, 273)(177, 249, 205, 277)(178, 250, 204, 276)(179, 251, 206, 278)(180, 252, 199, 271)(189, 261, 211, 283)(190, 262, 210, 282)(191, 263, 208, 280)(192, 264, 209, 281)(193, 265, 207, 279)(194, 266, 212, 284)(196, 268, 214, 286)(197, 269, 213, 285)(202, 274, 215, 287)(203, 275, 216, 288)
	L = (1, 148)(2, 153)(3, 156)(4, 160)(5, 163)(6, 145)(7, 170)(8, 173)(9, 177)(10, 146)(11, 174)(12, 184)(13, 186)(14, 147)(15, 189)(16, 150)(17, 179)(18, 183)(19, 190)(20, 191)(21, 149)(22, 185)(23, 176)(24, 196)(25, 198)(26, 202)(27, 151)(28, 199)(29, 205)(30, 206)(31, 152)(32, 161)(33, 154)(34, 203)(35, 167)(36, 201)(37, 207)(38, 155)(39, 210)(40, 158)(41, 159)(42, 211)(43, 157)(44, 162)(45, 166)(46, 165)(47, 194)(48, 197)(49, 164)(50, 193)(51, 213)(52, 192)(53, 168)(54, 215)(55, 216)(56, 169)(57, 178)(58, 171)(59, 180)(60, 172)(61, 175)(62, 182)(63, 212)(64, 181)(65, 214)(66, 188)(67, 187)(68, 208)(69, 209)(70, 195)(71, 200)(72, 204)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1847
Graph:: simple bipartite
	v = 42 e = 144 f = 48
	degree seq :: [ 4^36, 24^6 ]

E28.1865 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = C2 x ((C6 x S3) : C2) (small group id <144, 151>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, Y3^2 * Y1^-2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1, (Y1^-1 * Y3^-1 * Y2)^2, Y3 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y1^-1, R * Y3^-2 * R * Y1^-2, Y3 * R * Y3^-1 * Y1 * R * Y1^-1, R * Y3^-1 * Y1^-1 * Y3 * Y1 * R * Y3 * Y1^-1, (Y3^-1 * Y1^-1)^6, Y3^2 * Y1^10 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 7, 79, 21, 93, 37, 109, 49, 121, 61, 133, 58, 130, 46, 118, 34, 106, 18, 90, 5, 77)(3, 75, 11, 83, 31, 103, 43, 115, 55, 127, 67, 139, 70, 142, 64, 136, 50, 122, 40, 112, 22, 94, 13, 85)(4, 76, 15, 87, 23, 95, 42, 114, 51, 123, 66, 138, 59, 131, 48, 120, 35, 107, 20, 92, 6, 78, 16, 88)(8, 80, 24, 96, 17, 89, 32, 104, 45, 117, 56, 128, 69, 141, 71, 143, 62, 134, 52, 124, 38, 110, 26, 98)(9, 81, 28, 100, 39, 111, 54, 126, 63, 135, 60, 132, 47, 119, 36, 108, 19, 91, 30, 102, 10, 82, 29, 101)(12, 84, 33, 105, 44, 116, 57, 129, 68, 140, 72, 144, 65, 137, 53, 125, 41, 113, 27, 99, 14, 86, 25, 97)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 158, 230)(149, 221, 161, 233)(150, 222, 156, 228)(151, 223, 166, 238)(153, 225, 171, 243)(154, 226, 169, 241)(155, 227, 174, 246)(157, 229, 173, 245)(159, 231, 170, 242)(160, 232, 168, 240)(162, 234, 175, 247)(163, 235, 177, 249)(164, 236, 176, 248)(165, 237, 182, 254)(167, 239, 185, 257)(172, 244, 184, 256)(178, 250, 189, 261)(179, 251, 188, 260)(180, 252, 187, 259)(181, 253, 194, 266)(183, 255, 197, 269)(186, 258, 196, 268)(190, 262, 199, 271)(191, 263, 201, 273)(192, 264, 200, 272)(193, 265, 206, 278)(195, 267, 209, 281)(198, 270, 208, 280)(202, 274, 213, 285)(203, 275, 212, 284)(204, 276, 211, 283)(205, 277, 214, 286)(207, 279, 216, 288)(210, 282, 215, 287)
	L = (1, 148)(2, 153)(3, 156)(4, 151)(5, 154)(6, 145)(7, 167)(8, 169)(9, 165)(10, 146)(11, 176)(12, 175)(13, 168)(14, 147)(15, 172)(16, 173)(17, 177)(18, 150)(19, 149)(20, 174)(21, 183)(22, 158)(23, 181)(24, 155)(25, 161)(26, 157)(27, 152)(28, 186)(29, 159)(30, 160)(31, 188)(32, 187)(33, 189)(34, 163)(35, 162)(36, 164)(37, 195)(38, 171)(39, 193)(40, 170)(41, 166)(42, 198)(43, 200)(44, 199)(45, 201)(46, 179)(47, 178)(48, 180)(49, 207)(50, 185)(51, 205)(52, 184)(53, 182)(54, 210)(55, 212)(56, 211)(57, 213)(58, 191)(59, 190)(60, 192)(61, 203)(62, 197)(63, 202)(64, 196)(65, 194)(66, 204)(67, 215)(68, 214)(69, 216)(70, 209)(71, 208)(72, 206)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1848
Graph:: simple bipartite
	v = 42 e = 144 f = 48
	degree seq :: [ 4^36, 24^6 ]

E28.1866 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = C2 x ((C6 x S3) : C2) (small group id <144, 151>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3^-1 * Y2)^2, Y3^-1 * Y1^-2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y1^-1 * Y2 * Y3 * Y1 * Y2, (Y3^-1 * Y1)^3, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y3^3, (Y3 * Y1)^6, Y3^-2 * Y1^10 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 7, 79, 21, 93, 42, 114, 60, 132, 70, 142, 69, 141, 59, 131, 39, 111, 16, 88, 5, 77)(3, 75, 11, 83, 31, 103, 52, 124, 66, 138, 49, 121, 65, 137, 50, 122, 61, 133, 46, 118, 22, 94, 13, 85)(4, 76, 15, 87, 6, 78, 20, 92, 23, 95, 47, 119, 62, 134, 48, 120, 64, 136, 51, 123, 38, 110, 17, 89)(8, 80, 24, 96, 18, 90, 40, 112, 58, 130, 36, 108, 56, 128, 33, 105, 55, 127, 34, 106, 43, 115, 26, 98)(9, 81, 28, 100, 10, 82, 30, 102, 44, 116, 32, 104, 54, 126, 35, 107, 57, 129, 41, 113, 19, 91, 29, 101)(12, 84, 27, 99, 14, 86, 37, 109, 53, 125, 67, 139, 72, 144, 68, 140, 71, 143, 63, 135, 45, 117, 25, 97)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 158, 230)(149, 221, 162, 234)(150, 222, 156, 228)(151, 223, 166, 238)(153, 225, 171, 243)(154, 226, 169, 241)(155, 227, 176, 248)(157, 229, 179, 251)(159, 231, 177, 249)(160, 232, 175, 247)(161, 233, 178, 250)(163, 235, 181, 253)(164, 236, 180, 252)(165, 237, 187, 259)(167, 239, 189, 261)(168, 240, 192, 264)(170, 242, 195, 267)(172, 244, 193, 265)(173, 245, 194, 266)(174, 246, 196, 268)(182, 254, 197, 269)(183, 255, 202, 274)(184, 256, 191, 263)(185, 257, 190, 262)(186, 258, 205, 277)(188, 260, 207, 279)(198, 270, 212, 284)(199, 271, 204, 276)(200, 272, 213, 285)(201, 273, 211, 283)(203, 275, 210, 282)(206, 278, 215, 287)(208, 280, 216, 288)(209, 281, 214, 286)
	L = (1, 148)(2, 153)(3, 156)(4, 160)(5, 163)(6, 145)(7, 150)(8, 169)(9, 149)(10, 146)(11, 177)(12, 166)(13, 180)(14, 147)(15, 176)(16, 182)(17, 174)(18, 171)(19, 183)(20, 179)(21, 154)(22, 189)(23, 151)(24, 193)(25, 187)(26, 196)(27, 152)(28, 192)(29, 191)(30, 195)(31, 158)(32, 161)(33, 157)(34, 155)(35, 159)(36, 190)(37, 162)(38, 203)(39, 201)(40, 194)(41, 164)(42, 167)(43, 207)(44, 165)(45, 205)(46, 184)(47, 185)(48, 173)(49, 170)(50, 168)(51, 172)(52, 178)(53, 175)(54, 204)(55, 212)(56, 211)(57, 213)(58, 181)(59, 208)(60, 188)(61, 215)(62, 186)(63, 199)(64, 214)(65, 216)(66, 197)(67, 202)(68, 200)(69, 198)(70, 206)(71, 209)(72, 210)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1846
Graph:: simple bipartite
	v = 42 e = 144 f = 48
	degree seq :: [ 4^36, 24^6 ]

E28.1867 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = ((C6 x C2) : C2) x S3 (small group id <144, 153>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3^-1 * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, Y3^4, (R * Y3)^2, Y2 * Y3 * Y1 * Y3 * Y2 * Y1^-1, (Y1 * Y3^-1)^3, Y2 * Y1^2 * Y2 * Y1^-2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y2, Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y1^-2 * Y3 * Y1^2, Y1^-2 * Y3^-1 * Y1^-4 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 7, 79, 24, 96, 50, 122, 46, 118, 16, 88, 33, 105, 58, 130, 48, 120, 20, 92, 5, 77)(3, 75, 11, 83, 25, 97, 54, 126, 68, 140, 60, 132, 40, 112, 64, 136, 72, 144, 62, 134, 42, 114, 13, 85)(4, 76, 15, 87, 26, 98, 57, 129, 49, 121, 23, 95, 6, 78, 22, 94, 27, 99, 59, 131, 47, 119, 17, 89)(8, 80, 28, 100, 51, 123, 38, 110, 63, 135, 71, 143, 61, 133, 43, 115, 65, 137, 39, 111, 18, 90, 30, 102)(9, 81, 32, 104, 52, 124, 45, 117, 21, 93, 36, 108, 10, 82, 35, 107, 53, 125, 37, 109, 19, 91, 34, 106)(12, 84, 31, 103, 55, 127, 70, 142, 67, 139, 44, 116, 14, 86, 29, 101, 56, 128, 69, 141, 66, 138, 41, 113)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 158, 230)(149, 221, 162, 234)(150, 222, 156, 228)(151, 223, 169, 241)(153, 225, 175, 247)(154, 226, 173, 245)(155, 227, 181, 253)(157, 229, 179, 251)(159, 231, 182, 254)(160, 232, 184, 256)(161, 233, 172, 244)(163, 235, 185, 257)(164, 236, 186, 258)(165, 237, 188, 260)(166, 238, 183, 255)(167, 239, 187, 259)(168, 240, 195, 267)(170, 242, 200, 272)(171, 243, 199, 271)(174, 246, 203, 275)(176, 248, 204, 276)(177, 249, 205, 277)(178, 250, 198, 270)(180, 252, 206, 278)(189, 261, 208, 280)(190, 262, 207, 279)(191, 263, 211, 283)(192, 264, 209, 281)(193, 265, 210, 282)(194, 266, 212, 284)(196, 268, 214, 286)(197, 269, 213, 285)(201, 273, 215, 287)(202, 274, 216, 288)
	L = (1, 148)(2, 153)(3, 156)(4, 160)(5, 163)(6, 145)(7, 170)(8, 173)(9, 177)(10, 146)(11, 182)(12, 184)(13, 172)(14, 147)(15, 181)(16, 150)(17, 179)(18, 188)(19, 190)(20, 191)(21, 149)(22, 189)(23, 176)(24, 196)(25, 199)(26, 202)(27, 151)(28, 204)(29, 205)(30, 198)(31, 152)(32, 161)(33, 154)(34, 203)(35, 167)(36, 201)(37, 166)(38, 208)(39, 155)(40, 158)(41, 162)(42, 210)(43, 157)(44, 207)(45, 159)(46, 165)(47, 194)(48, 197)(49, 164)(50, 193)(51, 213)(52, 192)(53, 168)(54, 215)(55, 216)(56, 169)(57, 178)(58, 171)(59, 180)(60, 187)(61, 175)(62, 174)(63, 185)(64, 183)(65, 214)(66, 212)(67, 186)(68, 211)(69, 209)(70, 195)(71, 206)(72, 200)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1849
Graph:: simple bipartite
	v = 42 e = 144 f = 48
	degree seq :: [ 4^36, 24^6 ]

E28.1868 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2 * Y1^-1, Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-1, Y2 * Y1^6, (Y3 * Y1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 6, 78, 15, 87, 24, 96, 10, 82, 3, 75, 7, 79, 16, 88, 29, 101, 14, 86, 5, 77)(4, 76, 11, 83, 17, 89, 32, 104, 39, 111, 22, 94, 9, 81, 21, 93, 31, 103, 44, 116, 27, 99, 12, 84)(8, 80, 19, 91, 30, 102, 40, 112, 23, 95, 34, 106, 18, 90, 33, 105, 46, 118, 28, 100, 13, 85, 20, 92)(25, 97, 41, 113, 47, 119, 55, 127, 38, 110, 54, 126, 37, 109, 53, 125, 60, 132, 43, 115, 26, 98, 42, 114)(35, 107, 50, 122, 56, 128, 63, 135, 49, 121, 62, 134, 48, 120, 61, 133, 45, 117, 52, 124, 36, 108, 51, 123)(57, 129, 70, 142, 69, 141, 66, 138, 68, 140, 65, 137, 67, 139, 64, 136, 59, 131, 72, 144, 58, 130, 71, 143)(145, 217, 147, 219)(146, 218, 151, 223)(148, 220, 153, 225)(149, 221, 154, 226)(150, 222, 160, 232)(152, 224, 162, 234)(155, 227, 165, 237)(156, 228, 166, 238)(157, 229, 167, 239)(158, 230, 168, 240)(159, 231, 173, 245)(161, 233, 175, 247)(163, 235, 177, 249)(164, 236, 178, 250)(169, 241, 181, 253)(170, 242, 182, 254)(171, 243, 183, 255)(172, 244, 184, 256)(174, 246, 190, 262)(176, 248, 188, 260)(179, 251, 192, 264)(180, 252, 193, 265)(185, 257, 197, 269)(186, 258, 198, 270)(187, 259, 199, 271)(189, 261, 200, 272)(191, 263, 204, 276)(194, 266, 205, 277)(195, 267, 206, 278)(196, 268, 207, 279)(201, 273, 211, 283)(202, 274, 212, 284)(203, 275, 213, 285)(208, 280, 214, 286)(209, 281, 215, 287)(210, 282, 216, 288)
	L = (1, 148)(2, 152)(3, 153)(4, 145)(5, 157)(6, 161)(7, 162)(8, 146)(9, 147)(10, 167)(11, 169)(12, 170)(13, 149)(14, 171)(15, 174)(16, 175)(17, 150)(18, 151)(19, 179)(20, 180)(21, 181)(22, 182)(23, 154)(24, 183)(25, 155)(26, 156)(27, 158)(28, 189)(29, 190)(30, 159)(31, 160)(32, 191)(33, 192)(34, 193)(35, 163)(36, 164)(37, 165)(38, 166)(39, 168)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 172)(46, 173)(47, 176)(48, 177)(49, 178)(50, 208)(51, 209)(52, 210)(53, 211)(54, 212)(55, 213)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 214)(62, 215)(63, 216)(64, 194)(65, 195)(66, 196)(67, 197)(68, 198)(69, 199)(70, 205)(71, 206)(72, 207)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1851
Graph:: bipartite
	v = 42 e = 144 f = 48
	degree seq :: [ 4^36, 24^6 ]

E28.1869 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^4, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^-2 * Y2 * Y1 * Y2 * Y1^-1, Y2 * Y1 * Y2 * Y3^2 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y1 * Y3^-1)^3, Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-1, (Y1^-1 * R * Y2)^2, Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1, Y3^-1 * Y1^-2 * Y3 * Y1^2, Y3^2 * Y1^6, Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2, (Y2 * Y1^-3)^2 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 7, 79, 24, 96, 51, 123, 39, 111, 16, 88, 33, 105, 59, 131, 49, 121, 20, 92, 5, 77)(3, 75, 11, 83, 25, 97, 55, 127, 48, 120, 18, 90, 30, 102, 8, 80, 28, 100, 52, 124, 41, 113, 13, 85)(4, 76, 15, 87, 26, 98, 58, 130, 50, 122, 23, 95, 6, 78, 22, 94, 27, 99, 60, 132, 47, 119, 17, 89)(9, 81, 32, 104, 53, 125, 46, 118, 21, 93, 36, 108, 10, 82, 35, 107, 54, 126, 45, 117, 19, 91, 34, 106)(12, 84, 37, 109, 56, 128, 71, 143, 68, 140, 44, 116, 14, 86, 43, 115, 57, 129, 72, 144, 67, 139, 38, 110)(29, 101, 61, 133, 69, 141, 65, 137, 40, 112, 64, 136, 31, 103, 63, 135, 70, 142, 66, 138, 42, 114, 62, 134)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 158, 230)(149, 221, 162, 234)(150, 222, 156, 228)(151, 223, 169, 241)(153, 225, 175, 247)(154, 226, 173, 245)(155, 227, 177, 249)(157, 229, 183, 255)(159, 231, 181, 253)(160, 232, 174, 246)(161, 233, 182, 254)(163, 235, 184, 256)(164, 236, 185, 257)(165, 237, 186, 258)(166, 238, 187, 259)(167, 239, 188, 260)(168, 240, 196, 268)(170, 242, 201, 273)(171, 243, 200, 272)(172, 244, 203, 275)(176, 248, 205, 277)(178, 250, 206, 278)(179, 251, 207, 279)(180, 252, 208, 280)(189, 261, 210, 282)(190, 262, 209, 281)(191, 263, 212, 284)(192, 264, 195, 267)(193, 265, 199, 271)(194, 266, 211, 283)(197, 269, 214, 286)(198, 270, 213, 285)(202, 274, 215, 287)(204, 276, 216, 288)
	L = (1, 148)(2, 153)(3, 156)(4, 160)(5, 163)(6, 145)(7, 170)(8, 173)(9, 177)(10, 146)(11, 175)(12, 174)(13, 184)(14, 147)(15, 189)(16, 150)(17, 179)(18, 186)(19, 183)(20, 191)(21, 149)(22, 190)(23, 176)(24, 197)(25, 200)(26, 203)(27, 151)(28, 201)(29, 155)(30, 158)(31, 152)(32, 161)(33, 154)(34, 204)(35, 167)(36, 202)(37, 209)(38, 205)(39, 165)(40, 162)(41, 211)(42, 157)(43, 210)(44, 207)(45, 166)(46, 159)(47, 195)(48, 212)(49, 198)(50, 164)(51, 194)(52, 213)(53, 193)(54, 168)(55, 214)(56, 172)(57, 169)(58, 178)(59, 171)(60, 180)(61, 188)(62, 215)(63, 182)(64, 216)(65, 187)(66, 181)(67, 192)(68, 185)(69, 199)(70, 196)(71, 208)(72, 206)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1852
Graph:: simple bipartite
	v = 42 e = 144 f = 48
	degree seq :: [ 4^36, 24^6 ]

E28.1870 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3 * Y2 * Y1 * Y3 * Y2 * Y1^-1, Y2 * Y1^-2 * Y2 * Y1^2, Y3 * Y1^2 * Y3 * Y1^-2, Y1^-3 * Y2 * Y3 * Y1^-3, (Y3 * Y1^-1)^6 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 6, 78, 17, 89, 35, 107, 27, 99, 10, 82, 21, 93, 39, 111, 34, 106, 16, 88, 5, 77)(3, 75, 9, 81, 18, 90, 38, 110, 31, 103, 13, 85, 4, 76, 12, 84, 19, 91, 40, 112, 30, 102, 11, 83)(7, 79, 20, 92, 36, 108, 33, 105, 15, 87, 24, 96, 8, 80, 23, 95, 37, 109, 32, 104, 14, 86, 22, 94)(25, 97, 45, 117, 53, 125, 50, 122, 29, 101, 48, 120, 26, 98, 47, 119, 54, 126, 49, 121, 28, 100, 46, 118)(41, 113, 55, 127, 52, 124, 60, 132, 44, 116, 58, 130, 42, 114, 57, 129, 51, 123, 59, 131, 43, 115, 56, 128)(61, 133, 68, 140, 66, 138, 71, 143, 64, 136, 69, 141, 62, 134, 67, 139, 65, 137, 72, 144, 63, 135, 70, 142)(145, 217, 147, 219)(146, 218, 151, 223)(148, 220, 154, 226)(149, 221, 158, 230)(150, 222, 162, 234)(152, 224, 165, 237)(153, 225, 169, 241)(155, 227, 172, 244)(156, 228, 170, 242)(157, 229, 173, 245)(159, 231, 171, 243)(160, 232, 174, 246)(161, 233, 180, 252)(163, 235, 183, 255)(164, 236, 185, 257)(166, 238, 187, 259)(167, 239, 186, 258)(168, 240, 188, 260)(175, 247, 179, 251)(176, 248, 195, 267)(177, 249, 196, 268)(178, 250, 181, 253)(182, 254, 197, 269)(184, 256, 198, 270)(189, 261, 205, 277)(190, 262, 207, 279)(191, 263, 206, 278)(192, 264, 208, 280)(193, 265, 209, 281)(194, 266, 210, 282)(199, 271, 211, 283)(200, 272, 213, 285)(201, 273, 212, 284)(202, 274, 214, 286)(203, 275, 215, 287)(204, 276, 216, 288)
	L = (1, 148)(2, 152)(3, 154)(4, 145)(5, 159)(6, 163)(7, 165)(8, 146)(9, 170)(10, 147)(11, 173)(12, 169)(13, 172)(14, 171)(15, 149)(16, 175)(17, 181)(18, 183)(19, 150)(20, 186)(21, 151)(22, 188)(23, 185)(24, 187)(25, 156)(26, 153)(27, 158)(28, 157)(29, 155)(30, 179)(31, 160)(32, 196)(33, 195)(34, 180)(35, 174)(36, 178)(37, 161)(38, 198)(39, 162)(40, 197)(41, 167)(42, 164)(43, 168)(44, 166)(45, 206)(46, 208)(47, 205)(48, 207)(49, 210)(50, 209)(51, 177)(52, 176)(53, 184)(54, 182)(55, 212)(56, 214)(57, 211)(58, 213)(59, 216)(60, 215)(61, 191)(62, 189)(63, 192)(64, 190)(65, 194)(66, 193)(67, 201)(68, 199)(69, 202)(70, 200)(71, 204)(72, 203)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1850
Graph:: bipartite
	v = 42 e = 144 f = 48
	degree seq :: [ 4^36, 24^6 ]

E28.1871 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x D24 (small group id <72, 28>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ R^2, (Y3, Y1^-1), (Y3 * Y2^-1)^2, Y1^2 * Y3^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1^-1)^2, Y3^-1 * Y1 * Y2 * Y3^-1 * Y2 * Y1^-1, Y3^-1 * Y2^-1 * Y1^-1 * Y3 * Y1^-1 * Y2^-1, (Y1^-1 * Y3 * Y1^-1)^2, Y2^-1 * Y1^-1 * Y3^2 * Y2^-1 * Y1, Y2^-1 * Y1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^2, (Y2^2 * Y1^-1)^2, Y2^-1 * Y1 * Y2^4 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 8, 80, 27, 99, 19, 91, 5, 77)(3, 75, 13, 85, 28, 100, 11, 83, 36, 108, 16, 88)(4, 76, 10, 82, 7, 79, 12, 84, 30, 102, 20, 92)(6, 78, 22, 94, 29, 101, 21, 93, 33, 105, 9, 81)(14, 86, 42, 114, 53, 125, 41, 113, 61, 133, 38, 110)(15, 87, 35, 107, 17, 89, 37, 109, 26, 98, 39, 111)(18, 90, 32, 104, 23, 95, 34, 106, 25, 97, 40, 112)(24, 96, 48, 120, 54, 126, 31, 103, 55, 127, 49, 121)(43, 115, 64, 136, 69, 141, 66, 138, 72, 144, 65, 137)(44, 116, 60, 132, 45, 117, 62, 134, 46, 118, 63, 135)(47, 119, 57, 129, 50, 122, 58, 130, 51, 123, 59, 131)(52, 124, 56, 128, 70, 142, 68, 140, 71, 143, 67, 139)(145, 217, 147, 219, 158, 230, 187, 259, 203, 275, 178, 250, 154, 226, 179, 251, 204, 276, 196, 268, 168, 240, 150, 222)(146, 218, 153, 225, 175, 247, 200, 272, 188, 260, 170, 242, 151, 223, 167, 239, 194, 266, 208, 280, 182, 254, 155, 227)(148, 220, 162, 234, 191, 263, 209, 281, 185, 257, 157, 229, 149, 221, 165, 237, 192, 264, 211, 283, 190, 262, 161, 233)(152, 224, 172, 244, 197, 269, 213, 285, 201, 273, 184, 256, 156, 228, 181, 253, 206, 278, 214, 286, 198, 270, 173, 245)(159, 231, 174, 246, 169, 241, 195, 267, 210, 282, 186, 258, 160, 232, 171, 243, 166, 238, 193, 265, 212, 284, 189, 261)(163, 235, 180, 252, 205, 277, 216, 288, 202, 274, 176, 248, 164, 236, 183, 255, 207, 279, 215, 287, 199, 271, 177, 249)
	L = (1, 148)(2, 154)(3, 159)(4, 163)(5, 164)(6, 167)(7, 145)(8, 151)(9, 176)(10, 149)(11, 181)(12, 146)(13, 179)(14, 188)(15, 180)(16, 183)(17, 147)(18, 173)(19, 174)(20, 171)(21, 184)(22, 178)(23, 177)(24, 195)(25, 150)(26, 172)(27, 156)(28, 161)(29, 169)(30, 152)(31, 201)(32, 165)(33, 162)(34, 153)(35, 160)(36, 170)(37, 157)(38, 207)(39, 155)(40, 166)(41, 206)(42, 204)(43, 211)(44, 205)(45, 158)(46, 197)(47, 168)(48, 203)(49, 202)(50, 198)(51, 199)(52, 209)(53, 189)(54, 191)(55, 194)(56, 187)(57, 192)(58, 175)(59, 193)(60, 182)(61, 190)(62, 186)(63, 185)(64, 196)(65, 215)(66, 214)(67, 216)(68, 213)(69, 200)(70, 208)(71, 210)(72, 212)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4^12 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E28.1830
Graph:: bipartite
	v = 18 e = 144 f = 72
	degree seq :: [ 12^12, 24^6 ]

E28.1872 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ R^2, Y3^2, R * Y2 * R * Y2^-1, (Y2^-1 * Y3)^2, (Y1^-1 * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y3)^2, Y1 * Y2^-2 * Y1^-1 * Y2^2, Y1^6, Y2 * Y1^-2 * Y2^5 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 7, 79, 19, 91, 16, 88, 5, 77)(3, 75, 11, 83, 27, 99, 38, 110, 20, 92, 8, 80)(4, 76, 14, 86, 32, 104, 39, 111, 21, 93, 9, 81)(6, 78, 17, 89, 35, 107, 40, 112, 22, 94, 10, 82)(12, 84, 23, 95, 41, 113, 60, 132, 49, 121, 28, 100)(13, 85, 24, 96, 42, 114, 61, 133, 50, 122, 29, 101)(15, 87, 25, 97, 43, 115, 62, 134, 55, 127, 33, 105)(18, 90, 26, 98, 44, 116, 53, 125, 58, 130, 36, 108)(30, 102, 51, 123, 48, 120, 37, 109, 59, 131, 45, 117)(31, 103, 52, 124, 67, 139, 72, 144, 63, 135, 46, 118)(34, 106, 56, 128, 70, 142, 69, 141, 64, 136, 47, 119)(54, 126, 65, 137, 71, 143, 57, 129, 66, 138, 68, 140)(145, 217, 147, 219, 156, 228, 174, 246, 197, 269, 184, 256, 163, 235, 182, 254, 204, 276, 181, 253, 162, 234, 150, 222)(146, 218, 152, 224, 167, 239, 189, 261, 202, 274, 179, 251, 160, 232, 171, 243, 193, 265, 192, 264, 170, 242, 154, 226)(148, 220, 159, 231, 178, 250, 201, 273, 216, 288, 205, 277, 183, 255, 206, 278, 213, 285, 198, 270, 175, 247, 157, 229)(149, 221, 155, 227, 172, 244, 195, 267, 188, 260, 166, 238, 151, 223, 164, 236, 185, 257, 203, 275, 180, 252, 161, 233)(153, 225, 169, 241, 191, 263, 210, 282, 211, 283, 194, 266, 176, 248, 199, 271, 214, 286, 209, 281, 190, 262, 168, 240)(158, 230, 177, 249, 200, 272, 215, 287, 207, 279, 186, 258, 165, 237, 187, 259, 208, 280, 212, 284, 196, 268, 173, 245)
	L = (1, 148)(2, 153)(3, 157)(4, 145)(5, 158)(6, 159)(7, 165)(8, 168)(9, 146)(10, 169)(11, 173)(12, 175)(13, 147)(14, 149)(15, 150)(16, 176)(17, 177)(18, 178)(19, 183)(20, 186)(21, 151)(22, 187)(23, 190)(24, 152)(25, 154)(26, 191)(27, 194)(28, 196)(29, 155)(30, 198)(31, 156)(32, 160)(33, 161)(34, 162)(35, 199)(36, 200)(37, 201)(38, 205)(39, 163)(40, 206)(41, 207)(42, 164)(43, 166)(44, 208)(45, 209)(46, 167)(47, 170)(48, 210)(49, 211)(50, 171)(51, 212)(52, 172)(53, 213)(54, 174)(55, 179)(56, 180)(57, 181)(58, 214)(59, 215)(60, 216)(61, 182)(62, 184)(63, 185)(64, 188)(65, 189)(66, 192)(67, 193)(68, 195)(69, 197)(70, 202)(71, 203)(72, 204)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4^12 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E28.1832
Graph:: bipartite
	v = 18 e = 144 f = 72
	degree seq :: [ 12^12, 24^6 ]

E28.1873 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y1), Y1^-1 * Y3^-2 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y3^-1)^2, (Y3 * Y2^-1)^2, (Y2^-1 * Y1^-1)^2, (Y2 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, Y3^-1 * Y2 * Y1 * Y3 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1^4, Y2^3 * Y3 * Y2^-3 * Y1^-1, Y2^-1 * Y3^-1 * Y2^4 * Y1^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 8, 80, 23, 95, 18, 90, 5, 77)(3, 75, 13, 85, 33, 105, 46, 118, 24, 96, 11, 83)(4, 76, 10, 82, 7, 79, 12, 84, 26, 98, 19, 91)(6, 78, 20, 92, 41, 113, 45, 117, 25, 97, 9, 81)(14, 86, 32, 104, 47, 119, 64, 136, 57, 129, 34, 106)(15, 87, 30, 102, 16, 88, 35, 107, 48, 120, 31, 103)(17, 89, 39, 111, 49, 121, 28, 100, 21, 93, 29, 101)(22, 94, 27, 99, 50, 122, 63, 135, 62, 134, 42, 114)(36, 108, 59, 131, 69, 141, 72, 144, 65, 137, 56, 128)(37, 109, 54, 126, 38, 110, 55, 127, 66, 138, 58, 130)(40, 112, 52, 124, 43, 115, 53, 125, 67, 139, 61, 133)(44, 116, 60, 132, 70, 142, 71, 143, 68, 140, 51, 123)(145, 217, 147, 219, 158, 230, 180, 252, 196, 268, 173, 245, 154, 226, 174, 246, 198, 270, 188, 260, 166, 238, 150, 222)(146, 218, 153, 225, 171, 243, 195, 267, 182, 254, 159, 231, 151, 223, 165, 237, 187, 259, 200, 272, 176, 248, 155, 227)(148, 220, 161, 233, 184, 256, 203, 275, 178, 250, 157, 229, 149, 221, 164, 236, 186, 258, 204, 276, 181, 253, 160, 232)(152, 224, 168, 240, 191, 263, 209, 281, 197, 269, 172, 244, 156, 228, 175, 247, 199, 271, 212, 284, 194, 266, 169, 241)(162, 234, 177, 249, 201, 273, 213, 285, 205, 277, 183, 255, 163, 235, 179, 251, 202, 274, 214, 286, 206, 278, 185, 257)(167, 239, 189, 261, 207, 279, 215, 287, 210, 282, 192, 264, 170, 242, 193, 265, 211, 283, 216, 288, 208, 280, 190, 262)
	L = (1, 148)(2, 154)(3, 159)(4, 162)(5, 163)(6, 165)(7, 145)(8, 151)(9, 172)(10, 149)(11, 175)(12, 146)(13, 174)(14, 181)(15, 168)(16, 147)(17, 150)(18, 170)(19, 167)(20, 173)(21, 169)(22, 184)(23, 156)(24, 192)(25, 193)(26, 152)(27, 196)(28, 189)(29, 153)(30, 155)(31, 190)(32, 198)(33, 160)(34, 202)(35, 157)(36, 195)(37, 201)(38, 158)(39, 164)(40, 206)(41, 161)(42, 205)(43, 166)(44, 200)(45, 183)(46, 179)(47, 182)(48, 177)(49, 185)(50, 187)(51, 209)(52, 186)(53, 171)(54, 178)(55, 176)(56, 212)(57, 210)(58, 208)(59, 188)(60, 180)(61, 207)(62, 211)(63, 197)(64, 199)(65, 215)(66, 191)(67, 194)(68, 216)(69, 204)(70, 203)(71, 213)(72, 214)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4^12 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E28.1831
Graph:: bipartite
	v = 18 e = 144 f = 72
	degree seq :: [ 12^12, 24^6 ]

E28.1874 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y1^-2, (Y3^-1, Y1), (Y3 * Y2^-1)^2, (Y1^-1 * Y2^-1)^2, (R * Y3)^2, (R * Y1)^2, Y2^2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2, Y3^4 * Y1^-2, Y2^2 * Y1 * Y2^-1 * Y1 * Y2, Y1^-1 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1, Y1^6, (R * Y2 * Y3^-1)^2, Y2 * R * Y2 * Y1^-1 * Y2^-1 * R * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 8, 80, 27, 99, 19, 91, 5, 77)(3, 75, 13, 85, 41, 113, 58, 130, 40, 112, 16, 88)(4, 76, 10, 82, 7, 79, 12, 84, 30, 102, 20, 92)(6, 78, 22, 94, 52, 124, 60, 132, 33, 105, 9, 81)(11, 83, 36, 108, 18, 90, 49, 121, 57, 129, 28, 100)(14, 86, 31, 103, 55, 127, 69, 141, 68, 140, 45, 117)(15, 87, 35, 107, 17, 89, 43, 115, 53, 125, 29, 101)(21, 93, 50, 122, 56, 128, 37, 109, 26, 98, 39, 111)(23, 95, 34, 106, 25, 97, 51, 123, 54, 126, 32, 104)(24, 96, 38, 110, 59, 131, 70, 142, 65, 137, 42, 114)(44, 116, 61, 133, 46, 118, 62, 134, 71, 143, 66, 138)(47, 119, 63, 135, 72, 144, 67, 139, 48, 120, 64, 136)(145, 217, 147, 219, 158, 230, 183, 255, 208, 280, 178, 250, 154, 226, 179, 251, 205, 277, 180, 252, 168, 240, 150, 222)(146, 218, 153, 225, 175, 247, 160, 232, 191, 263, 170, 242, 151, 223, 167, 239, 190, 262, 159, 231, 182, 254, 155, 227)(148, 220, 162, 234, 188, 260, 166, 238, 186, 258, 157, 229, 149, 221, 165, 237, 189, 261, 169, 241, 192, 264, 161, 233)(152, 224, 172, 244, 199, 271, 177, 249, 207, 279, 184, 256, 156, 228, 181, 253, 206, 278, 176, 248, 203, 275, 173, 245)(163, 235, 195, 267, 212, 284, 187, 259, 211, 283, 193, 265, 164, 236, 196, 268, 210, 282, 185, 257, 209, 281, 194, 266)(171, 243, 197, 269, 213, 285, 201, 273, 216, 288, 204, 276, 174, 246, 202, 274, 215, 287, 200, 272, 214, 286, 198, 270)
	L = (1, 148)(2, 154)(3, 159)(4, 163)(5, 164)(6, 167)(7, 145)(8, 151)(9, 176)(10, 149)(11, 181)(12, 146)(13, 179)(14, 188)(15, 184)(16, 173)(17, 147)(18, 183)(19, 174)(20, 171)(21, 180)(22, 178)(23, 177)(24, 192)(25, 150)(26, 172)(27, 156)(28, 200)(29, 202)(30, 152)(31, 205)(32, 204)(33, 198)(34, 153)(35, 160)(36, 170)(37, 201)(38, 208)(39, 155)(40, 197)(41, 161)(42, 211)(43, 157)(44, 212)(45, 210)(46, 158)(47, 168)(48, 209)(49, 165)(50, 162)(51, 166)(52, 169)(53, 185)(54, 196)(55, 190)(56, 193)(57, 194)(58, 187)(59, 191)(60, 195)(61, 189)(62, 175)(63, 182)(64, 186)(65, 216)(66, 213)(67, 214)(68, 215)(69, 206)(70, 207)(71, 199)(72, 203)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4^12 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E28.1833
Graph:: bipartite
	v = 18 e = 144 f = 72
	degree seq :: [ 12^12, 24^6 ]

E28.1875 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^2, (Y3 * Y2^-1)^2, (Y3^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y1 * Y2 * Y1^-2 * Y2, (R * Y2 * Y3^-1)^2, Y3^6, Y1 * Y2^-1 * Y1 * Y2^-3, Y1^6, Y2 * Y3 * Y2^-2 * Y3^-1 * Y2, (Y2 * Y3 * Y1^-1)^2, Y2 * R * Y2 * Y1^-1 * Y2^-1 * R * Y2^-1 * Y1^-1, Y1 * Y2^-1 * Y1 * Y2^9 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 8, 80, 29, 101, 19, 91, 5, 77)(3, 75, 13, 85, 41, 113, 56, 128, 22, 94, 16, 88)(4, 76, 10, 82, 7, 79, 12, 84, 31, 103, 20, 92)(6, 78, 23, 95, 9, 81, 32, 104, 59, 131, 25, 97)(11, 83, 36, 108, 30, 102, 51, 123, 55, 127, 21, 93)(14, 86, 33, 105, 63, 135, 72, 144, 49, 121, 46, 118)(15, 87, 42, 114, 17, 89, 44, 116, 35, 107, 40, 112)(18, 90, 28, 100, 54, 126, 37, 109, 53, 125, 39, 111)(24, 96, 58, 130, 27, 99, 52, 124, 34, 106, 60, 132)(26, 98, 38, 110, 43, 115, 64, 136, 69, 141, 57, 129)(45, 117, 65, 137, 47, 119, 62, 134, 68, 140, 71, 143)(48, 120, 50, 122, 66, 138, 61, 133, 67, 139, 70, 142)(145, 217, 147, 219, 158, 230, 180, 252, 208, 280, 176, 248, 173, 245, 200, 272, 216, 288, 199, 271, 170, 242, 150, 222)(146, 218, 153, 225, 177, 249, 185, 257, 213, 285, 195, 267, 163, 235, 169, 241, 193, 265, 160, 232, 182, 254, 155, 227)(148, 220, 162, 234, 189, 261, 204, 276, 211, 283, 184, 256, 156, 228, 181, 253, 206, 278, 171, 243, 194, 266, 161, 233)(149, 221, 165, 237, 190, 262, 167, 239, 187, 259, 157, 229, 152, 224, 174, 246, 207, 279, 203, 275, 201, 273, 166, 238)(151, 223, 168, 240, 191, 263, 159, 231, 192, 264, 197, 269, 164, 236, 196, 268, 215, 287, 188, 260, 205, 277, 172, 244)(154, 226, 179, 251, 209, 281, 198, 270, 214, 286, 202, 274, 175, 247, 186, 258, 212, 284, 183, 255, 210, 282, 178, 250)
	L = (1, 148)(2, 154)(3, 159)(4, 163)(5, 164)(6, 168)(7, 145)(8, 151)(9, 171)(10, 149)(11, 181)(12, 146)(13, 186)(14, 189)(15, 166)(16, 184)(17, 147)(18, 180)(19, 175)(20, 173)(21, 198)(22, 179)(23, 202)(24, 203)(25, 204)(26, 194)(27, 150)(28, 174)(29, 156)(30, 183)(31, 152)(32, 196)(33, 209)(34, 153)(35, 185)(36, 197)(37, 199)(38, 210)(39, 155)(40, 200)(41, 161)(42, 160)(43, 205)(44, 157)(45, 193)(46, 215)(47, 158)(48, 208)(49, 212)(50, 213)(51, 162)(52, 167)(53, 165)(54, 195)(55, 172)(56, 188)(57, 192)(58, 169)(59, 178)(60, 176)(61, 170)(62, 177)(63, 191)(64, 211)(65, 190)(66, 201)(67, 182)(68, 207)(69, 214)(70, 187)(71, 216)(72, 206)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4^12 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E28.1834
Graph:: bipartite
	v = 18 e = 144 f = 72
	degree seq :: [ 12^12, 24^6 ]

E28.1876 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 6, 12})
Quotient :: halfedge^2
Aut^+ = C3 x D24 (small group id <72, 28>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y2 * Y1^3, (Y2 * Y3)^4, Y1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y2, Y2 * Y1 * Y2 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 74, 2, 78, 6, 82, 10, 92, 20, 113, 41, 126, 54, 135, 63, 105, 33, 85, 13, 89, 17, 77, 5, 73)(3, 81, 9, 86, 14, 76, 4, 84, 12, 102, 30, 104, 32, 132, 60, 127, 55, 98, 26, 101, 29, 83, 11, 75)(7, 91, 19, 95, 23, 80, 8, 94, 22, 121, 49, 111, 39, 138, 66, 142, 70, 117, 45, 120, 48, 93, 21, 79)(15, 107, 35, 110, 38, 88, 16, 109, 37, 137, 65, 134, 62, 141, 69, 114, 42, 90, 18, 112, 40, 108, 36, 87)(24, 115, 43, 125, 53, 97, 25, 116, 44, 139, 67, 130, 58, 143, 71, 133, 61, 103, 31, 122, 50, 124, 52, 96)(27, 118, 46, 129, 57, 100, 28, 119, 47, 140, 68, 131, 59, 144, 72, 136, 64, 106, 34, 123, 51, 128, 56, 99)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 18)(8, 17)(9, 24)(10, 26)(11, 27)(12, 31)(14, 34)(16, 33)(19, 43)(20, 45)(21, 46)(22, 50)(23, 51)(25, 29)(28, 55)(30, 59)(32, 54)(35, 52)(36, 56)(37, 61)(38, 64)(39, 63)(40, 53)(41, 62)(42, 57)(44, 48)(47, 70)(49, 72)(58, 60)(65, 68)(66, 71)(67, 69)(73, 76)(74, 80)(75, 82)(77, 88)(78, 87)(79, 92)(81, 97)(83, 100)(84, 96)(85, 104)(86, 99)(89, 111)(90, 113)(91, 116)(93, 119)(94, 115)(95, 118)(98, 126)(101, 130)(102, 106)(103, 132)(105, 134)(107, 125)(108, 129)(109, 124)(110, 128)(112, 139)(114, 140)(117, 135)(120, 143)(121, 123)(122, 138)(127, 131)(133, 141)(136, 137)(142, 144)
	local type(s) :: { ( 12^24 ) }
Outer automorphisms :: reflexible
Dual of E28.1877
Transitivity :: VT+ AT
Graph:: bipartite
	v = 6 e = 72 f = 12
	degree seq :: [ 24^6 ]

E28.1877 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 6, 12})
Quotient :: halfedge^2
Aut^+ = C3 x D24 (small group id <72, 28>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y2 * Y1^-1 * Y2 * Y3 * Y1 * Y3, Y1^6, Y2 * Y1^-1 * Y3 * Y2 * Y1^-2 * Y3, Y3 * Y2 * Y1^2 * Y3 * Y2 * Y1, Y1^-2 * Y2 * Y1^3 * Y2 * Y1^-1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 74, 2, 78, 6, 90, 18, 89, 17, 77, 5, 73)(3, 81, 9, 99, 27, 109, 37, 106, 34, 83, 11, 75)(4, 84, 12, 107, 35, 102, 30, 112, 40, 86, 14, 76)(7, 93, 21, 123, 51, 117, 45, 128, 56, 95, 23, 79)(8, 96, 24, 129, 57, 118, 46, 132, 60, 98, 26, 80)(10, 94, 22, 110, 38, 85, 13, 97, 25, 103, 31, 82)(15, 113, 41, 120, 48, 91, 19, 119, 47, 114, 42, 87)(16, 115, 43, 122, 50, 92, 20, 121, 49, 116, 44, 88)(28, 124, 52, 141, 69, 138, 66, 144, 72, 134, 62, 100)(29, 125, 53, 139, 67, 108, 36, 130, 58, 135, 63, 101)(32, 126, 54, 142, 70, 133, 61, 143, 71, 136, 64, 104)(33, 127, 55, 140, 68, 111, 39, 131, 59, 137, 65, 105)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 28)(10, 30)(11, 32)(12, 36)(14, 39)(16, 38)(17, 45)(18, 37)(20, 31)(21, 52)(22, 46)(23, 54)(24, 58)(26, 59)(27, 61)(29, 40)(33, 35)(34, 66)(41, 62)(42, 64)(43, 67)(44, 68)(47, 69)(48, 70)(49, 63)(50, 65)(51, 71)(53, 60)(55, 57)(56, 72)(73, 76)(74, 80)(75, 82)(77, 88)(78, 92)(79, 94)(81, 101)(83, 105)(84, 100)(85, 109)(86, 104)(87, 103)(89, 118)(90, 102)(91, 110)(93, 125)(95, 127)(96, 124)(97, 117)(98, 126)(99, 111)(106, 108)(107, 133)(112, 138)(113, 135)(114, 137)(115, 134)(116, 136)(119, 139)(120, 140)(121, 141)(122, 142)(123, 131)(128, 130)(129, 143)(132, 144)
	local type(s) :: { ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E28.1876
Transitivity :: VT+ AT
Graph:: bipartite
	v = 12 e = 72 f = 6
	degree seq :: [ 12^12 ]

E28.1878 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 12})
Quotient :: edge^2
Aut^+ = C3 x D24 (small group id <72, 28>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y1 * Y3 * Y1 * Y2 * Y3^-1 * Y2, Y3^6, Y2 * Y3^-3 * Y1 * Y2 * Y1, Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1, Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y3^-2, Y1 * Y3 * Y2 * Y3 * Y1 * Y3^2 * Y2 * Y3^-1 ]
Map::
	R = (1, 73, 4, 76, 14, 86, 40, 112, 17, 89, 5, 77)(2, 74, 7, 79, 23, 95, 27, 99, 26, 98, 8, 80)(3, 75, 10, 82, 31, 103, 18, 90, 33, 105, 11, 83)(6, 78, 19, 91, 29, 101, 9, 81, 28, 100, 20, 92)(12, 84, 34, 106, 61, 133, 45, 117, 62, 134, 35, 107)(13, 85, 36, 108, 63, 135, 46, 118, 64, 136, 37, 109)(15, 87, 41, 113, 66, 138, 38, 110, 65, 137, 42, 114)(16, 88, 43, 115, 68, 140, 39, 111, 67, 139, 44, 116)(21, 93, 47, 119, 69, 141, 56, 128, 70, 142, 48, 120)(22, 94, 49, 121, 58, 130, 30, 102, 57, 129, 50, 122)(24, 96, 52, 124, 72, 144, 51, 123, 71, 143, 53, 125)(25, 97, 54, 126, 60, 132, 32, 104, 59, 131, 55, 127)(145, 146)(147, 153)(148, 156)(149, 159)(150, 162)(151, 165)(152, 168)(154, 174)(155, 176)(157, 172)(158, 182)(160, 173)(161, 189)(163, 190)(164, 183)(166, 177)(167, 195)(169, 175)(170, 200)(171, 184)(178, 191)(179, 196)(180, 201)(181, 203)(185, 192)(186, 197)(187, 202)(188, 204)(193, 208)(194, 211)(198, 207)(199, 212)(205, 215)(206, 214)(209, 213)(210, 216)(217, 219)(218, 222)(220, 229)(221, 232)(223, 238)(224, 241)(225, 243)(226, 237)(227, 240)(228, 235)(230, 255)(231, 236)(233, 262)(234, 256)(239, 248)(242, 246)(244, 261)(245, 254)(247, 267)(249, 272)(250, 265)(251, 270)(252, 263)(253, 268)(257, 266)(258, 271)(259, 264)(260, 269)(273, 278)(274, 281)(275, 277)(276, 282)(279, 287)(280, 286)(283, 285)(284, 288)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 48, 48 ), ( 48^12 ) }
Outer automorphisms :: reflexible
Dual of E28.1881
Graph:: simple bipartite
	v = 84 e = 144 f = 6
	degree seq :: [ 2^72, 12^12 ]

E28.1879 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 12})
Quotient :: edge^2
Aut^+ = C3 x D24 (small group id <72, 28>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^2 * Y1 * Y2 * Y3, (Y1 * Y2)^4, Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y2, Y3 * Y2 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2, Y2 * Y3^-2 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y1 ]
Map::
	R = (1, 73, 4, 76, 14, 86, 9, 81, 26, 98, 55, 127, 40, 112, 43, 115, 19, 91, 6, 78, 17, 89, 5, 77)(2, 74, 7, 79, 22, 94, 18, 90, 41, 113, 53, 125, 25, 97, 29, 101, 11, 83, 3, 75, 10, 82, 8, 80)(12, 84, 30, 102, 61, 133, 39, 111, 66, 138, 71, 143, 54, 126, 62, 134, 33, 105, 13, 85, 32, 104, 31, 103)(15, 87, 35, 107, 65, 137, 42, 114, 67, 139, 64, 136, 34, 106, 63, 135, 38, 110, 16, 88, 37, 109, 36, 108)(20, 92, 44, 116, 57, 129, 27, 99, 56, 128, 72, 144, 60, 132, 68, 140, 47, 119, 21, 93, 46, 118, 45, 117)(23, 95, 49, 121, 59, 131, 28, 100, 58, 130, 70, 142, 48, 120, 69, 141, 52, 124, 24, 96, 51, 123, 50, 122)(145, 146)(147, 153)(148, 156)(149, 159)(150, 162)(151, 164)(152, 167)(154, 171)(155, 172)(157, 170)(158, 160)(161, 183)(163, 186)(165, 185)(166, 168)(169, 184)(173, 204)(174, 188)(175, 193)(176, 200)(177, 202)(178, 199)(179, 189)(180, 194)(181, 201)(182, 203)(187, 198)(190, 210)(191, 211)(192, 197)(195, 205)(196, 209)(206, 212)(207, 216)(208, 214)(213, 215)(217, 219)(218, 222)(220, 229)(221, 232)(223, 237)(224, 240)(225, 241)(226, 236)(227, 239)(228, 233)(230, 250)(231, 235)(234, 256)(238, 264)(242, 270)(243, 245)(244, 269)(246, 262)(247, 267)(248, 260)(249, 265)(251, 263)(252, 268)(253, 261)(254, 266)(255, 259)(257, 276)(258, 271)(272, 278)(273, 279)(274, 287)(275, 280)(277, 285)(281, 286)(282, 284)(283, 288)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 24, 24 ), ( 24^24 ) }
Outer automorphisms :: reflexible
Dual of E28.1880
Graph:: simple bipartite
	v = 78 e = 144 f = 12
	degree seq :: [ 2^72, 24^6 ]

E28.1880 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 12})
Quotient :: loop^2
Aut^+ = C3 x D24 (small group id <72, 28>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y1 * Y3 * Y1 * Y2 * Y3^-1 * Y2, Y3^6, Y2 * Y3^-3 * Y1 * Y2 * Y1, Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1, Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y3^-2, Y1 * Y3 * Y2 * Y3 * Y1 * Y3^2 * Y2 * Y3^-1 ]
Map::
	R = (1, 73, 145, 217, 4, 76, 148, 220, 14, 86, 158, 230, 40, 112, 184, 256, 17, 89, 161, 233, 5, 77, 149, 221)(2, 74, 146, 218, 7, 79, 151, 223, 23, 95, 167, 239, 27, 99, 171, 243, 26, 98, 170, 242, 8, 80, 152, 224)(3, 75, 147, 219, 10, 82, 154, 226, 31, 103, 175, 247, 18, 90, 162, 234, 33, 105, 177, 249, 11, 83, 155, 227)(6, 78, 150, 222, 19, 91, 163, 235, 29, 101, 173, 245, 9, 81, 153, 225, 28, 100, 172, 244, 20, 92, 164, 236)(12, 84, 156, 228, 34, 106, 178, 250, 61, 133, 205, 277, 45, 117, 189, 261, 62, 134, 206, 278, 35, 107, 179, 251)(13, 85, 157, 229, 36, 108, 180, 252, 63, 135, 207, 279, 46, 118, 190, 262, 64, 136, 208, 280, 37, 109, 181, 253)(15, 87, 159, 231, 41, 113, 185, 257, 66, 138, 210, 282, 38, 110, 182, 254, 65, 137, 209, 281, 42, 114, 186, 258)(16, 88, 160, 232, 43, 115, 187, 259, 68, 140, 212, 284, 39, 111, 183, 255, 67, 139, 211, 283, 44, 116, 188, 260)(21, 93, 165, 237, 47, 119, 191, 263, 69, 141, 213, 285, 56, 128, 200, 272, 70, 142, 214, 286, 48, 120, 192, 264)(22, 94, 166, 238, 49, 121, 193, 265, 58, 130, 202, 274, 30, 102, 174, 246, 57, 129, 201, 273, 50, 122, 194, 266)(24, 96, 168, 240, 52, 124, 196, 268, 72, 144, 216, 288, 51, 123, 195, 267, 71, 143, 215, 287, 53, 125, 197, 269)(25, 97, 169, 241, 54, 126, 198, 270, 60, 132, 204, 276, 32, 104, 176, 248, 59, 131, 203, 275, 55, 127, 199, 271)
	L = (1, 74)(2, 73)(3, 81)(4, 84)(5, 87)(6, 90)(7, 93)(8, 96)(9, 75)(10, 102)(11, 104)(12, 76)(13, 100)(14, 110)(15, 77)(16, 101)(17, 117)(18, 78)(19, 118)(20, 111)(21, 79)(22, 105)(23, 123)(24, 80)(25, 103)(26, 128)(27, 112)(28, 85)(29, 88)(30, 82)(31, 97)(32, 83)(33, 94)(34, 119)(35, 124)(36, 129)(37, 131)(38, 86)(39, 92)(40, 99)(41, 120)(42, 125)(43, 130)(44, 132)(45, 89)(46, 91)(47, 106)(48, 113)(49, 136)(50, 139)(51, 95)(52, 107)(53, 114)(54, 135)(55, 140)(56, 98)(57, 108)(58, 115)(59, 109)(60, 116)(61, 143)(62, 142)(63, 126)(64, 121)(65, 141)(66, 144)(67, 122)(68, 127)(69, 137)(70, 134)(71, 133)(72, 138)(145, 219)(146, 222)(147, 217)(148, 229)(149, 232)(150, 218)(151, 238)(152, 241)(153, 243)(154, 237)(155, 240)(156, 235)(157, 220)(158, 255)(159, 236)(160, 221)(161, 262)(162, 256)(163, 228)(164, 231)(165, 226)(166, 223)(167, 248)(168, 227)(169, 224)(170, 246)(171, 225)(172, 261)(173, 254)(174, 242)(175, 267)(176, 239)(177, 272)(178, 265)(179, 270)(180, 263)(181, 268)(182, 245)(183, 230)(184, 234)(185, 266)(186, 271)(187, 264)(188, 269)(189, 244)(190, 233)(191, 252)(192, 259)(193, 250)(194, 257)(195, 247)(196, 253)(197, 260)(198, 251)(199, 258)(200, 249)(201, 278)(202, 281)(203, 277)(204, 282)(205, 275)(206, 273)(207, 287)(208, 286)(209, 274)(210, 276)(211, 285)(212, 288)(213, 283)(214, 280)(215, 279)(216, 284)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1879
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 144 f = 78
	degree seq :: [ 24^12 ]

E28.1881 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 12})
Quotient :: loop^2
Aut^+ = C3 x D24 (small group id <72, 28>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^2 * Y1 * Y2 * Y3, (Y1 * Y2)^4, Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y2, Y3 * Y2 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2, Y2 * Y3^-2 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y1 ]
Map::
	R = (1, 73, 145, 217, 4, 76, 148, 220, 14, 86, 158, 230, 9, 81, 153, 225, 26, 98, 170, 242, 55, 127, 199, 271, 40, 112, 184, 256, 43, 115, 187, 259, 19, 91, 163, 235, 6, 78, 150, 222, 17, 89, 161, 233, 5, 77, 149, 221)(2, 74, 146, 218, 7, 79, 151, 223, 22, 94, 166, 238, 18, 90, 162, 234, 41, 113, 185, 257, 53, 125, 197, 269, 25, 97, 169, 241, 29, 101, 173, 245, 11, 83, 155, 227, 3, 75, 147, 219, 10, 82, 154, 226, 8, 80, 152, 224)(12, 84, 156, 228, 30, 102, 174, 246, 61, 133, 205, 277, 39, 111, 183, 255, 66, 138, 210, 282, 71, 143, 215, 287, 54, 126, 198, 270, 62, 134, 206, 278, 33, 105, 177, 249, 13, 85, 157, 229, 32, 104, 176, 248, 31, 103, 175, 247)(15, 87, 159, 231, 35, 107, 179, 251, 65, 137, 209, 281, 42, 114, 186, 258, 67, 139, 211, 283, 64, 136, 208, 280, 34, 106, 178, 250, 63, 135, 207, 279, 38, 110, 182, 254, 16, 88, 160, 232, 37, 109, 181, 253, 36, 108, 180, 252)(20, 92, 164, 236, 44, 116, 188, 260, 57, 129, 201, 273, 27, 99, 171, 243, 56, 128, 200, 272, 72, 144, 216, 288, 60, 132, 204, 276, 68, 140, 212, 284, 47, 119, 191, 263, 21, 93, 165, 237, 46, 118, 190, 262, 45, 117, 189, 261)(23, 95, 167, 239, 49, 121, 193, 265, 59, 131, 203, 275, 28, 100, 172, 244, 58, 130, 202, 274, 70, 142, 214, 286, 48, 120, 192, 264, 69, 141, 213, 285, 52, 124, 196, 268, 24, 96, 168, 240, 51, 123, 195, 267, 50, 122, 194, 266)
	L = (1, 74)(2, 73)(3, 81)(4, 84)(5, 87)(6, 90)(7, 92)(8, 95)(9, 75)(10, 99)(11, 100)(12, 76)(13, 98)(14, 88)(15, 77)(16, 86)(17, 111)(18, 78)(19, 114)(20, 79)(21, 113)(22, 96)(23, 80)(24, 94)(25, 112)(26, 85)(27, 82)(28, 83)(29, 132)(30, 116)(31, 121)(32, 128)(33, 130)(34, 127)(35, 117)(36, 122)(37, 129)(38, 131)(39, 89)(40, 97)(41, 93)(42, 91)(43, 126)(44, 102)(45, 107)(46, 138)(47, 139)(48, 125)(49, 103)(50, 108)(51, 133)(52, 137)(53, 120)(54, 115)(55, 106)(56, 104)(57, 109)(58, 105)(59, 110)(60, 101)(61, 123)(62, 140)(63, 144)(64, 142)(65, 124)(66, 118)(67, 119)(68, 134)(69, 143)(70, 136)(71, 141)(72, 135)(145, 219)(146, 222)(147, 217)(148, 229)(149, 232)(150, 218)(151, 237)(152, 240)(153, 241)(154, 236)(155, 239)(156, 233)(157, 220)(158, 250)(159, 235)(160, 221)(161, 228)(162, 256)(163, 231)(164, 226)(165, 223)(166, 264)(167, 227)(168, 224)(169, 225)(170, 270)(171, 245)(172, 269)(173, 243)(174, 262)(175, 267)(176, 260)(177, 265)(178, 230)(179, 263)(180, 268)(181, 261)(182, 266)(183, 259)(184, 234)(185, 276)(186, 271)(187, 255)(188, 248)(189, 253)(190, 246)(191, 251)(192, 238)(193, 249)(194, 254)(195, 247)(196, 252)(197, 244)(198, 242)(199, 258)(200, 278)(201, 279)(202, 287)(203, 280)(204, 257)(205, 285)(206, 272)(207, 273)(208, 275)(209, 286)(210, 284)(211, 288)(212, 282)(213, 277)(214, 281)(215, 274)(216, 283)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1878
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 144 f = 84
	degree seq :: [ 48^6 ]

E28.1882 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = (C12 x C3) : C2 (small group id <72, 33>)
Aut   = C2 x ((C12 x C3) : C2) (small group id <144, 170>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (Y3, Y2^-1), (Y3^-1 * Y1)^2, (R * Y2)^2, (Y2^-1 * Y1)^2, (R * Y3)^2, Y2^-6, Y3^6 * Y2^3 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 10, 82)(5, 77, 7, 79)(6, 78, 8, 80)(11, 83, 24, 96)(12, 84, 25, 97)(13, 85, 23, 95)(14, 86, 26, 98)(15, 87, 21, 93)(16, 88, 19, 91)(17, 89, 20, 92)(18, 90, 22, 94)(27, 99, 38, 110)(28, 100, 46, 118)(29, 101, 45, 117)(30, 102, 47, 119)(31, 103, 44, 116)(32, 104, 48, 120)(33, 105, 42, 114)(34, 106, 40, 112)(35, 107, 39, 111)(36, 108, 41, 113)(37, 109, 43, 115)(49, 121, 62, 134)(50, 122, 61, 133)(51, 123, 70, 142)(52, 124, 69, 141)(53, 125, 71, 143)(54, 126, 68, 140)(55, 127, 72, 144)(56, 128, 66, 138)(57, 129, 64, 136)(58, 130, 63, 135)(59, 131, 65, 137)(60, 132, 67, 139)(145, 217, 147, 219, 155, 227, 171, 243, 160, 232, 149, 221)(146, 218, 151, 223, 163, 235, 182, 254, 168, 240, 153, 225)(148, 220, 156, 228, 172, 244, 193, 265, 178, 250, 159, 231)(150, 222, 157, 229, 173, 245, 194, 266, 179, 251, 161, 233)(152, 224, 164, 236, 183, 255, 205, 277, 189, 261, 167, 239)(154, 226, 165, 237, 184, 256, 206, 278, 190, 262, 169, 241)(158, 230, 174, 246, 195, 267, 204, 276, 201, 273, 177, 249)(162, 234, 175, 247, 196, 268, 199, 271, 202, 274, 180, 252)(166, 238, 185, 257, 207, 279, 216, 288, 213, 285, 188, 260)(170, 242, 186, 258, 208, 280, 211, 283, 214, 286, 191, 263)(176, 248, 197, 269, 203, 275, 181, 253, 198, 270, 200, 272)(187, 259, 209, 281, 215, 287, 192, 264, 210, 282, 212, 284)
	L = (1, 148)(2, 152)(3, 156)(4, 158)(5, 159)(6, 145)(7, 164)(8, 166)(9, 167)(10, 146)(11, 172)(12, 174)(13, 147)(14, 176)(15, 177)(16, 178)(17, 149)(18, 150)(19, 183)(20, 185)(21, 151)(22, 187)(23, 188)(24, 189)(25, 153)(26, 154)(27, 193)(28, 195)(29, 155)(30, 197)(31, 157)(32, 199)(33, 200)(34, 201)(35, 160)(36, 161)(37, 162)(38, 205)(39, 207)(40, 163)(41, 209)(42, 165)(43, 211)(44, 212)(45, 213)(46, 168)(47, 169)(48, 170)(49, 204)(50, 171)(51, 203)(52, 173)(53, 202)(54, 175)(55, 194)(56, 196)(57, 198)(58, 179)(59, 180)(60, 181)(61, 216)(62, 182)(63, 215)(64, 184)(65, 214)(66, 186)(67, 206)(68, 208)(69, 210)(70, 190)(71, 191)(72, 192)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1883
Graph:: simple bipartite
	v = 48 e = 144 f = 42
	degree seq :: [ 4^36, 12^12 ]

E28.1883 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = (C12 x C3) : C2 (small group id <72, 33>)
Aut   = C2 x ((C12 x C3) : C2) (small group id <144, 170>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3, Y1^-1), (R * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, (Y2 * Y1^-1)^2, Y3^3 * Y1^-3, (R * Y2 * Y3^-1)^2, Y1^12 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 7, 79, 19, 91, 35, 107, 49, 121, 61, 133, 58, 130, 46, 118, 32, 104, 16, 88, 5, 77)(3, 75, 11, 83, 27, 99, 43, 115, 55, 127, 67, 139, 70, 142, 62, 134, 50, 122, 36, 108, 20, 92, 8, 80)(4, 76, 9, 81, 21, 93, 37, 109, 51, 123, 63, 135, 60, 132, 48, 120, 34, 106, 18, 90, 26, 98, 15, 87)(6, 78, 10, 82, 22, 94, 14, 86, 25, 97, 40, 112, 53, 125, 65, 137, 59, 131, 47, 119, 33, 105, 17, 89)(12, 84, 28, 100, 44, 116, 56, 128, 68, 140, 72, 144, 66, 138, 54, 126, 42, 114, 31, 103, 38, 110, 23, 95)(13, 85, 29, 101, 41, 113, 30, 102, 45, 117, 57, 129, 69, 141, 71, 143, 64, 136, 52, 124, 39, 111, 24, 96)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 157, 229)(149, 221, 155, 227)(150, 222, 156, 228)(151, 223, 164, 236)(153, 225, 168, 240)(154, 226, 167, 239)(158, 230, 175, 247)(159, 231, 173, 245)(160, 232, 171, 243)(161, 233, 172, 244)(162, 234, 174, 246)(163, 235, 180, 252)(165, 237, 183, 255)(166, 238, 182, 254)(169, 241, 186, 258)(170, 242, 185, 257)(176, 248, 187, 259)(177, 249, 188, 260)(178, 250, 189, 261)(179, 251, 194, 266)(181, 253, 196, 268)(184, 256, 198, 270)(190, 262, 199, 271)(191, 263, 200, 272)(192, 264, 201, 273)(193, 265, 206, 278)(195, 267, 208, 280)(197, 269, 210, 282)(202, 274, 211, 283)(203, 275, 212, 284)(204, 276, 213, 285)(205, 277, 214, 286)(207, 279, 215, 287)(209, 281, 216, 288)
	L = (1, 148)(2, 153)(3, 156)(4, 158)(5, 159)(6, 145)(7, 165)(8, 167)(9, 169)(10, 146)(11, 172)(12, 174)(13, 147)(14, 163)(15, 166)(16, 170)(17, 149)(18, 150)(19, 181)(20, 182)(21, 184)(22, 151)(23, 185)(24, 152)(25, 179)(26, 154)(27, 188)(28, 189)(29, 155)(30, 187)(31, 157)(32, 162)(33, 160)(34, 161)(35, 195)(36, 175)(37, 197)(38, 173)(39, 164)(40, 193)(41, 171)(42, 168)(43, 200)(44, 201)(45, 199)(46, 178)(47, 176)(48, 177)(49, 207)(50, 186)(51, 209)(52, 180)(53, 205)(54, 183)(55, 212)(56, 213)(57, 211)(58, 192)(59, 190)(60, 191)(61, 204)(62, 198)(63, 203)(64, 194)(65, 202)(66, 196)(67, 216)(68, 215)(69, 214)(70, 210)(71, 206)(72, 208)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1882
Graph:: simple bipartite
	v = 42 e = 144 f = 48
	degree seq :: [ 4^36, 24^6 ]

E28.1884 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 6, 12})
Quotient :: halfedge^2
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y2 * Y3)^2, (R * Y1)^2, (Y3 * Y1^-1)^3, Y1^-2 * Y2 * Y1^2 * Y3, Y1^-1 * Y3 * Y1^2 * Y2 * Y1^-1, (Y2 * Y1^-1)^3, Y3 * Y2 * Y1 * Y3 * Y1^2 * Y3 * Y1^3, Y1^12 ]
Map:: non-degenerate
	R = (1, 74, 2, 78, 6, 89, 17, 109, 37, 132, 60, 144, 72, 143, 71, 131, 59, 108, 36, 88, 16, 77, 5, 73)(3, 81, 9, 91, 19, 114, 42, 133, 61, 119, 47, 142, 70, 128, 56, 141, 69, 118, 46, 102, 30, 83, 11, 75)(4, 84, 12, 90, 18, 112, 40, 134, 62, 115, 43, 139, 67, 121, 49, 140, 68, 120, 48, 106, 34, 85, 13, 76)(7, 92, 20, 111, 39, 98, 26, 123, 51, 138, 66, 124, 52, 105, 33, 129, 57, 104, 32, 87, 15, 94, 22, 79)(8, 95, 23, 110, 38, 103, 31, 126, 54, 136, 64, 125, 53, 101, 29, 122, 50, 97, 25, 86, 14, 96, 24, 80)(10, 99, 27, 113, 41, 137, 65, 130, 58, 107, 35, 117, 45, 93, 21, 116, 44, 135, 63, 127, 55, 100, 28, 82)
	L = (1, 3)(2, 7)(4, 10)(5, 14)(6, 18)(8, 21)(9, 25)(11, 20)(12, 31)(13, 33)(15, 35)(16, 34)(17, 38)(19, 41)(22, 40)(23, 47)(24, 48)(26, 49)(27, 52)(28, 54)(29, 43)(30, 55)(32, 56)(36, 57)(37, 61)(39, 63)(42, 66)(44, 68)(45, 70)(46, 64)(50, 65)(51, 60)(53, 71)(58, 62)(59, 69)(67, 72)(73, 76)(74, 80)(75, 82)(77, 87)(78, 91)(79, 93)(81, 98)(83, 101)(84, 104)(85, 95)(86, 107)(88, 102)(89, 111)(90, 113)(92, 115)(94, 118)(96, 114)(97, 121)(99, 125)(100, 123)(103, 128)(105, 119)(106, 127)(108, 122)(109, 134)(110, 135)(112, 136)(116, 141)(117, 139)(120, 138)(124, 143)(126, 132)(129, 137)(130, 133)(131, 140)(142, 144)
	local type(s) :: { ( 12^24 ) }
Outer automorphisms :: reflexible
Dual of E28.1885
Transitivity :: VT+ AT
Graph::
	v = 6 e = 72 f = 12
	degree seq :: [ 24^6 ]

E28.1885 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 6, 12})
Quotient :: halfedge^2
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y3 * Y2)^2, (R * Y1)^2, Y1 * Y2 * Y1^-2 * Y2 * Y1, (Y3 * Y1^-1)^3, Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1, Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-1, Y1^6, (Y2 * Y1)^3, Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-2, Y2 * Y1 * Y3 * Y2 * Y1^-1 * Y3 * Y1 * Y3 * Y2 * Y1^-1, (Y1^-1 * Y3 * Y2)^12 ]
Map:: non-degenerate
	R = (1, 74, 2, 78, 6, 89, 17, 88, 16, 77, 5, 73)(3, 81, 9, 90, 18, 110, 38, 102, 30, 83, 11, 75)(4, 84, 12, 91, 19, 112, 40, 106, 34, 85, 13, 76)(7, 92, 20, 108, 36, 97, 25, 86, 14, 94, 22, 79)(8, 95, 23, 109, 37, 104, 32, 87, 15, 96, 24, 80)(10, 99, 27, 111, 39, 131, 59, 125, 53, 100, 28, 82)(21, 114, 42, 129, 57, 128, 56, 107, 35, 115, 43, 93)(26, 120, 48, 130, 58, 123, 51, 101, 29, 121, 49, 98)(31, 124, 52, 132, 60, 122, 50, 105, 33, 127, 55, 103)(41, 133, 61, 119, 47, 136, 64, 116, 44, 134, 62, 113)(45, 137, 65, 126, 54, 135, 63, 118, 46, 138, 66, 117)(67, 142, 70, 141, 69, 144, 72, 140, 68, 143, 71, 139)
	L = (1, 3)(2, 7)(4, 10)(5, 14)(6, 18)(8, 21)(9, 25)(11, 20)(12, 31)(13, 33)(15, 35)(16, 30)(17, 36)(19, 39)(22, 38)(23, 45)(24, 46)(26, 47)(27, 50)(28, 52)(29, 41)(32, 54)(34, 53)(37, 57)(40, 60)(42, 63)(43, 65)(44, 58)(48, 67)(49, 68)(51, 69)(55, 59)(56, 66)(61, 70)(62, 71)(64, 72)(73, 76)(74, 80)(75, 82)(77, 87)(78, 91)(79, 93)(81, 98)(83, 101)(84, 104)(85, 95)(86, 107)(88, 106)(89, 109)(90, 111)(92, 113)(94, 116)(96, 112)(97, 119)(99, 123)(100, 120)(102, 125)(103, 126)(105, 117)(108, 129)(110, 130)(114, 136)(115, 133)(118, 132)(121, 131)(122, 141)(124, 139)(127, 140)(128, 134)(135, 144)(137, 142)(138, 143)
	local type(s) :: { ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E28.1884
Transitivity :: VT+ AT
Graph::
	v = 12 e = 72 f = 6
	degree seq :: [ 12^12 ]

E28.1886 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 12})
Quotient :: edge^2
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y2)^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, Y3 * Y2 * Y3^-2 * Y2 * Y3, Y3^6, (Y3 * Y2)^3, (Y3^-1 * Y1)^3, Y3 * Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 73, 4, 76, 13, 85, 34, 106, 16, 88, 5, 77)(2, 74, 7, 79, 21, 93, 45, 117, 24, 96, 8, 80)(3, 75, 9, 81, 27, 99, 50, 122, 30, 102, 10, 82)(6, 78, 17, 89, 38, 110, 60, 132, 41, 113, 18, 90)(11, 83, 22, 94, 43, 115, 19, 91, 14, 86, 32, 104)(12, 84, 29, 101, 49, 121, 26, 98, 15, 87, 33, 105)(20, 92, 40, 112, 59, 131, 37, 109, 23, 95, 44, 116)(25, 97, 39, 111, 58, 130, 36, 108, 28, 100, 48, 120)(31, 103, 52, 124, 64, 136, 56, 128, 35, 107, 53, 125)(42, 114, 62, 134, 54, 126, 66, 138, 46, 118, 63, 135)(47, 119, 67, 139, 55, 127, 69, 141, 51, 123, 68, 140)(57, 129, 70, 142, 65, 137, 72, 144, 61, 133, 71, 143)(145, 146)(147, 150)(148, 155)(149, 158)(151, 163)(152, 166)(153, 169)(154, 172)(156, 175)(157, 165)(159, 179)(160, 168)(161, 180)(162, 183)(164, 186)(167, 190)(170, 191)(171, 182)(173, 195)(174, 185)(176, 189)(177, 199)(178, 187)(181, 201)(184, 205)(188, 209)(192, 204)(193, 208)(194, 202)(196, 211)(197, 212)(198, 203)(200, 213)(206, 214)(207, 215)(210, 216)(217, 219)(218, 222)(220, 228)(221, 231)(223, 236)(224, 239)(225, 242)(226, 245)(227, 247)(229, 243)(230, 251)(232, 246)(233, 253)(234, 256)(235, 258)(237, 254)(238, 262)(240, 257)(241, 263)(244, 267)(248, 270)(249, 266)(250, 265)(252, 273)(255, 277)(259, 280)(260, 276)(261, 275)(264, 281)(268, 278)(269, 279)(271, 274)(272, 282)(283, 286)(284, 287)(285, 288)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 48, 48 ), ( 48^12 ) }
Outer automorphisms :: reflexible
Dual of E28.1889
Graph:: simple bipartite
	v = 84 e = 144 f = 6
	degree seq :: [ 2^72, 12^12 ]

E28.1887 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 12})
Quotient :: edge^2
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (Y2 * Y1)^2, (R * Y3)^2, (Y3^-1 * Y2)^3, Y3^2 * Y1 * Y3^-2 * Y2, (Y3 * Y1)^3, Y3^-1 * Y1 * Y3^2 * Y2 * Y3^-1, Y3^2 * Y1 * Y3^3 * Y1 * Y2 * Y3 * Y1, Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1, Y3^12 ]
Map::
	R = (1, 73, 4, 76, 13, 85, 34, 106, 57, 129, 64, 136, 72, 144, 60, 132, 59, 131, 36, 108, 16, 88, 5, 77)(2, 74, 7, 79, 21, 93, 46, 118, 68, 140, 53, 125, 71, 143, 49, 121, 70, 142, 48, 120, 24, 96, 8, 80)(3, 75, 9, 81, 27, 99, 52, 124, 69, 141, 47, 119, 67, 139, 43, 115, 66, 138, 54, 126, 30, 102, 10, 82)(6, 78, 17, 89, 39, 111, 63, 135, 58, 130, 35, 107, 56, 128, 31, 103, 55, 127, 65, 137, 42, 114, 18, 90)(11, 83, 22, 94, 45, 117, 20, 92, 41, 113, 61, 133, 37, 109, 28, 100, 51, 123, 26, 98, 15, 87, 32, 104)(12, 84, 29, 101, 50, 122, 25, 97, 40, 112, 62, 134, 38, 110, 23, 95, 44, 116, 19, 91, 14, 86, 33, 105)(145, 146)(147, 150)(148, 155)(149, 158)(151, 163)(152, 166)(153, 169)(154, 172)(156, 175)(157, 171)(159, 179)(160, 174)(161, 181)(162, 184)(164, 187)(165, 183)(167, 191)(168, 186)(170, 193)(173, 197)(176, 196)(177, 198)(178, 194)(180, 195)(182, 204)(185, 208)(188, 207)(189, 209)(190, 205)(192, 206)(199, 210)(200, 215)(201, 212)(202, 213)(203, 214)(211, 216)(217, 219)(218, 222)(220, 228)(221, 231)(223, 236)(224, 239)(225, 242)(226, 245)(227, 247)(229, 237)(230, 251)(232, 240)(233, 254)(234, 257)(235, 259)(238, 263)(241, 265)(243, 255)(244, 269)(246, 258)(248, 264)(249, 262)(250, 261)(252, 260)(253, 276)(256, 280)(266, 281)(267, 279)(268, 278)(270, 277)(271, 286)(272, 283)(273, 285)(274, 284)(275, 282)(287, 288)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 24, 24 ), ( 24^24 ) }
Outer automorphisms :: reflexible
Dual of E28.1888
Graph:: simple bipartite
	v = 78 e = 144 f = 12
	degree seq :: [ 2^72, 24^6 ]

E28.1888 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 12})
Quotient :: loop^2
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y2)^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, Y3 * Y2 * Y3^-2 * Y2 * Y3, Y3^6, (Y3 * Y2)^3, (Y3^-1 * Y1)^3, Y3 * Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 73, 145, 217, 4, 76, 148, 220, 13, 85, 157, 229, 34, 106, 178, 250, 16, 88, 160, 232, 5, 77, 149, 221)(2, 74, 146, 218, 7, 79, 151, 223, 21, 93, 165, 237, 45, 117, 189, 261, 24, 96, 168, 240, 8, 80, 152, 224)(3, 75, 147, 219, 9, 81, 153, 225, 27, 99, 171, 243, 50, 122, 194, 266, 30, 102, 174, 246, 10, 82, 154, 226)(6, 78, 150, 222, 17, 89, 161, 233, 38, 110, 182, 254, 60, 132, 204, 276, 41, 113, 185, 257, 18, 90, 162, 234)(11, 83, 155, 227, 22, 94, 166, 238, 43, 115, 187, 259, 19, 91, 163, 235, 14, 86, 158, 230, 32, 104, 176, 248)(12, 84, 156, 228, 29, 101, 173, 245, 49, 121, 193, 265, 26, 98, 170, 242, 15, 87, 159, 231, 33, 105, 177, 249)(20, 92, 164, 236, 40, 112, 184, 256, 59, 131, 203, 275, 37, 109, 181, 253, 23, 95, 167, 239, 44, 116, 188, 260)(25, 97, 169, 241, 39, 111, 183, 255, 58, 130, 202, 274, 36, 108, 180, 252, 28, 100, 172, 244, 48, 120, 192, 264)(31, 103, 175, 247, 52, 124, 196, 268, 64, 136, 208, 280, 56, 128, 200, 272, 35, 107, 179, 251, 53, 125, 197, 269)(42, 114, 186, 258, 62, 134, 206, 278, 54, 126, 198, 270, 66, 138, 210, 282, 46, 118, 190, 262, 63, 135, 207, 279)(47, 119, 191, 263, 67, 139, 211, 283, 55, 127, 199, 271, 69, 141, 213, 285, 51, 123, 195, 267, 68, 140, 212, 284)(57, 129, 201, 273, 70, 142, 214, 286, 65, 137, 209, 281, 72, 144, 216, 288, 61, 133, 205, 277, 71, 143, 215, 287)
	L = (1, 74)(2, 73)(3, 78)(4, 83)(5, 86)(6, 75)(7, 91)(8, 94)(9, 97)(10, 100)(11, 76)(12, 103)(13, 93)(14, 77)(15, 107)(16, 96)(17, 108)(18, 111)(19, 79)(20, 114)(21, 85)(22, 80)(23, 118)(24, 88)(25, 81)(26, 119)(27, 110)(28, 82)(29, 123)(30, 113)(31, 84)(32, 117)(33, 127)(34, 115)(35, 87)(36, 89)(37, 129)(38, 99)(39, 90)(40, 133)(41, 102)(42, 92)(43, 106)(44, 137)(45, 104)(46, 95)(47, 98)(48, 132)(49, 136)(50, 130)(51, 101)(52, 139)(53, 140)(54, 131)(55, 105)(56, 141)(57, 109)(58, 122)(59, 126)(60, 120)(61, 112)(62, 142)(63, 143)(64, 121)(65, 116)(66, 144)(67, 124)(68, 125)(69, 128)(70, 134)(71, 135)(72, 138)(145, 219)(146, 222)(147, 217)(148, 228)(149, 231)(150, 218)(151, 236)(152, 239)(153, 242)(154, 245)(155, 247)(156, 220)(157, 243)(158, 251)(159, 221)(160, 246)(161, 253)(162, 256)(163, 258)(164, 223)(165, 254)(166, 262)(167, 224)(168, 257)(169, 263)(170, 225)(171, 229)(172, 267)(173, 226)(174, 232)(175, 227)(176, 270)(177, 266)(178, 265)(179, 230)(180, 273)(181, 233)(182, 237)(183, 277)(184, 234)(185, 240)(186, 235)(187, 280)(188, 276)(189, 275)(190, 238)(191, 241)(192, 281)(193, 250)(194, 249)(195, 244)(196, 278)(197, 279)(198, 248)(199, 274)(200, 282)(201, 252)(202, 271)(203, 261)(204, 260)(205, 255)(206, 268)(207, 269)(208, 259)(209, 264)(210, 272)(211, 286)(212, 287)(213, 288)(214, 283)(215, 284)(216, 285)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1887
Transitivity :: VT+
Graph::
	v = 12 e = 144 f = 78
	degree seq :: [ 24^12 ]

E28.1889 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 12})
Quotient :: loop^2
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (Y2 * Y1)^2, (R * Y3)^2, (Y3^-1 * Y2)^3, Y3^2 * Y1 * Y3^-2 * Y2, (Y3 * Y1)^3, Y3^-1 * Y1 * Y3^2 * Y2 * Y3^-1, Y3^2 * Y1 * Y3^3 * Y1 * Y2 * Y3 * Y1, Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1, Y3^12 ]
Map::
	R = (1, 73, 145, 217, 4, 76, 148, 220, 13, 85, 157, 229, 34, 106, 178, 250, 57, 129, 201, 273, 64, 136, 208, 280, 72, 144, 216, 288, 60, 132, 204, 276, 59, 131, 203, 275, 36, 108, 180, 252, 16, 88, 160, 232, 5, 77, 149, 221)(2, 74, 146, 218, 7, 79, 151, 223, 21, 93, 165, 237, 46, 118, 190, 262, 68, 140, 212, 284, 53, 125, 197, 269, 71, 143, 215, 287, 49, 121, 193, 265, 70, 142, 214, 286, 48, 120, 192, 264, 24, 96, 168, 240, 8, 80, 152, 224)(3, 75, 147, 219, 9, 81, 153, 225, 27, 99, 171, 243, 52, 124, 196, 268, 69, 141, 213, 285, 47, 119, 191, 263, 67, 139, 211, 283, 43, 115, 187, 259, 66, 138, 210, 282, 54, 126, 198, 270, 30, 102, 174, 246, 10, 82, 154, 226)(6, 78, 150, 222, 17, 89, 161, 233, 39, 111, 183, 255, 63, 135, 207, 279, 58, 130, 202, 274, 35, 107, 179, 251, 56, 128, 200, 272, 31, 103, 175, 247, 55, 127, 199, 271, 65, 137, 209, 281, 42, 114, 186, 258, 18, 90, 162, 234)(11, 83, 155, 227, 22, 94, 166, 238, 45, 117, 189, 261, 20, 92, 164, 236, 41, 113, 185, 257, 61, 133, 205, 277, 37, 109, 181, 253, 28, 100, 172, 244, 51, 123, 195, 267, 26, 98, 170, 242, 15, 87, 159, 231, 32, 104, 176, 248)(12, 84, 156, 228, 29, 101, 173, 245, 50, 122, 194, 266, 25, 97, 169, 241, 40, 112, 184, 256, 62, 134, 206, 278, 38, 110, 182, 254, 23, 95, 167, 239, 44, 116, 188, 260, 19, 91, 163, 235, 14, 86, 158, 230, 33, 105, 177, 249)
	L = (1, 74)(2, 73)(3, 78)(4, 83)(5, 86)(6, 75)(7, 91)(8, 94)(9, 97)(10, 100)(11, 76)(12, 103)(13, 99)(14, 77)(15, 107)(16, 102)(17, 109)(18, 112)(19, 79)(20, 115)(21, 111)(22, 80)(23, 119)(24, 114)(25, 81)(26, 121)(27, 85)(28, 82)(29, 125)(30, 88)(31, 84)(32, 124)(33, 126)(34, 122)(35, 87)(36, 123)(37, 89)(38, 132)(39, 93)(40, 90)(41, 136)(42, 96)(43, 92)(44, 135)(45, 137)(46, 133)(47, 95)(48, 134)(49, 98)(50, 106)(51, 108)(52, 104)(53, 101)(54, 105)(55, 138)(56, 143)(57, 140)(58, 141)(59, 142)(60, 110)(61, 118)(62, 120)(63, 116)(64, 113)(65, 117)(66, 127)(67, 144)(68, 129)(69, 130)(70, 131)(71, 128)(72, 139)(145, 219)(146, 222)(147, 217)(148, 228)(149, 231)(150, 218)(151, 236)(152, 239)(153, 242)(154, 245)(155, 247)(156, 220)(157, 237)(158, 251)(159, 221)(160, 240)(161, 254)(162, 257)(163, 259)(164, 223)(165, 229)(166, 263)(167, 224)(168, 232)(169, 265)(170, 225)(171, 255)(172, 269)(173, 226)(174, 258)(175, 227)(176, 264)(177, 262)(178, 261)(179, 230)(180, 260)(181, 276)(182, 233)(183, 243)(184, 280)(185, 234)(186, 246)(187, 235)(188, 252)(189, 250)(190, 249)(191, 238)(192, 248)(193, 241)(194, 281)(195, 279)(196, 278)(197, 244)(198, 277)(199, 286)(200, 283)(201, 285)(202, 284)(203, 282)(204, 253)(205, 270)(206, 268)(207, 267)(208, 256)(209, 266)(210, 275)(211, 272)(212, 274)(213, 273)(214, 271)(215, 288)(216, 287)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1886
Transitivity :: VT+
Graph::
	v = 6 e = 144 f = 84
	degree seq :: [ 48^6 ]

E28.1890 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (R * Y3)^2, (R * Y1)^2, Y2 * Y3^-1 * Y1 * Y3 * Y2 * Y1, Y3^-1 * Y1 * Y3 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y1 * Y3 * Y2 * Y1, (Y2 * Y1)^3, Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2, Y2 * R * Y3 * Y1 * Y2 * Y3^-1 * R * Y1, (Y2 * Y3 * Y1 * Y3^-1)^2, Y1 * Y2 * Y1 * R * Y3^-1 * Y1 * Y2 * Y1 * Y3 * R, Y2 * R * Y2 * Y1 * Y3 * Y1 * R * Y2 * Y3 * Y1, (Y2 * Y3)^6 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 12, 84)(5, 77, 14, 86)(6, 78, 16, 88)(7, 79, 19, 91)(8, 80, 21, 93)(10, 82, 24, 96)(11, 83, 18, 90)(13, 85, 20, 92)(15, 87, 33, 105)(17, 89, 36, 108)(22, 94, 44, 116)(23, 95, 47, 119)(25, 97, 48, 120)(26, 98, 53, 125)(27, 99, 31, 103)(28, 100, 42, 114)(29, 101, 56, 128)(30, 102, 40, 112)(32, 104, 59, 131)(34, 106, 45, 117)(35, 107, 58, 130)(37, 109, 60, 132)(38, 110, 49, 121)(39, 111, 43, 115)(41, 113, 67, 139)(46, 118, 69, 141)(50, 122, 71, 143)(51, 123, 63, 135)(52, 124, 70, 142)(54, 126, 68, 140)(55, 127, 66, 138)(57, 129, 65, 137)(61, 133, 64, 136)(62, 134, 72, 144)(145, 217, 147, 219)(146, 218, 150, 222)(148, 220, 157, 229)(149, 221, 159, 231)(151, 223, 164, 236)(152, 224, 166, 238)(153, 225, 160, 232)(154, 226, 169, 241)(155, 227, 170, 242)(156, 228, 163, 235)(158, 230, 175, 247)(161, 233, 181, 253)(162, 234, 182, 254)(165, 237, 187, 259)(167, 239, 192, 264)(168, 240, 191, 263)(171, 243, 177, 249)(172, 244, 194, 266)(173, 245, 195, 267)(174, 246, 198, 270)(176, 248, 204, 276)(178, 250, 196, 268)(179, 251, 199, 271)(180, 252, 203, 275)(183, 255, 188, 260)(184, 256, 206, 278)(185, 257, 207, 279)(186, 258, 209, 281)(189, 261, 208, 280)(190, 262, 210, 282)(193, 265, 197, 269)(200, 272, 211, 283)(201, 273, 215, 287)(202, 274, 213, 285)(205, 277, 214, 286)(212, 284, 216, 288)
	L = (1, 148)(2, 151)(3, 154)(4, 149)(5, 145)(6, 161)(7, 152)(8, 146)(9, 167)(10, 155)(11, 147)(12, 171)(13, 173)(14, 160)(15, 178)(16, 176)(17, 162)(18, 150)(19, 183)(20, 185)(21, 153)(22, 189)(23, 165)(24, 193)(25, 195)(26, 198)(27, 172)(28, 156)(29, 174)(30, 157)(31, 201)(32, 158)(33, 205)(34, 179)(35, 159)(36, 197)(37, 207)(38, 209)(39, 184)(40, 163)(41, 186)(42, 164)(43, 212)(44, 214)(45, 190)(46, 166)(47, 188)(48, 211)(49, 194)(50, 168)(51, 196)(52, 169)(53, 206)(54, 199)(55, 170)(56, 216)(57, 202)(58, 175)(59, 177)(60, 200)(61, 203)(62, 180)(63, 208)(64, 181)(65, 210)(66, 182)(67, 215)(68, 213)(69, 187)(70, 191)(71, 192)(72, 204)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1895
Graph:: simple bipartite
	v = 72 e = 144 f = 18
	degree seq :: [ 4^72 ]

E28.1891 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y2^2 * Y3 * Y2^-2 * Y3, Y2 * Y3 * Y2^-2 * Y3 * Y2, (R * Y2 * Y3)^2, Y2^6, Y2^-1 * Y3 * Y2^2 * Y3 * Y2^-1, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, (Y2 * Y1)^3, (R * Y2^-2)^2, (Y3 * Y2^-1 * Y3 * Y2)^2, Y3 * Y1 * Y2^-1 * R * Y2^-1 * Y1 * Y2 * R * Y2, (Y1 * Y2^-1 * Y3)^3, Y2 * Y1 * Y2^-1 * Y3 * Y2 * Y1 * Y3 * Y2^-1 * Y3, (Y3 * Y2^-3)^4 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 7, 79)(5, 77, 14, 86)(6, 78, 17, 89)(8, 80, 22, 94)(10, 82, 18, 90)(11, 83, 25, 97)(12, 84, 31, 103)(13, 85, 33, 105)(15, 87, 36, 108)(16, 88, 24, 96)(19, 91, 38, 110)(20, 92, 44, 116)(21, 93, 46, 118)(23, 95, 49, 121)(26, 98, 40, 112)(27, 99, 39, 111)(28, 100, 41, 113)(29, 101, 56, 128)(30, 102, 58, 130)(32, 104, 60, 132)(34, 106, 62, 134)(35, 107, 48, 120)(37, 109, 65, 137)(42, 114, 57, 129)(43, 115, 59, 131)(45, 117, 64, 136)(47, 119, 51, 123)(50, 122, 63, 135)(52, 124, 71, 143)(53, 125, 68, 140)(54, 126, 67, 139)(55, 127, 70, 142)(61, 133, 69, 141)(66, 138, 72, 144)(145, 217, 147, 219, 154, 226, 171, 243, 160, 232, 149, 221)(146, 218, 150, 222, 162, 234, 184, 256, 168, 240, 152, 224)(148, 220, 156, 228, 172, 244, 199, 271, 179, 251, 157, 229)(151, 223, 164, 236, 185, 257, 213, 285, 192, 264, 165, 237)(153, 225, 166, 238, 183, 255, 161, 233, 158, 230, 170, 242)(155, 227, 173, 245, 198, 270, 181, 253, 159, 231, 174, 246)(163, 235, 186, 258, 212, 284, 194, 266, 167, 239, 187, 259)(169, 241, 195, 267, 211, 283, 208, 280, 180, 252, 196, 268)(175, 247, 190, 262, 214, 286, 188, 260, 177, 249, 205, 277)(176, 248, 201, 273, 216, 288, 207, 279, 178, 250, 203, 275)(182, 254, 206, 278, 197, 269, 204, 276, 193, 265, 210, 282)(189, 261, 200, 272, 215, 287, 209, 281, 191, 263, 202, 274)
	L = (1, 148)(2, 151)(3, 155)(4, 145)(5, 159)(6, 163)(7, 146)(8, 167)(9, 169)(10, 172)(11, 147)(12, 176)(13, 178)(14, 180)(15, 149)(16, 179)(17, 182)(18, 185)(19, 150)(20, 189)(21, 191)(22, 193)(23, 152)(24, 192)(25, 153)(26, 197)(27, 198)(28, 154)(29, 201)(30, 203)(31, 204)(32, 156)(33, 206)(34, 157)(35, 160)(36, 158)(37, 207)(38, 161)(39, 211)(40, 212)(41, 162)(42, 200)(43, 202)(44, 208)(45, 164)(46, 195)(47, 165)(48, 168)(49, 166)(50, 209)(51, 190)(52, 205)(53, 170)(54, 171)(55, 216)(56, 186)(57, 173)(58, 187)(59, 174)(60, 175)(61, 196)(62, 177)(63, 181)(64, 188)(65, 194)(66, 214)(67, 183)(68, 184)(69, 215)(70, 210)(71, 213)(72, 199)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1893
Graph:: simple bipartite
	v = 48 e = 144 f = 42
	degree seq :: [ 4^36, 12^12 ]

E28.1892 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, (Y1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y3, Y2^-1 * Y3^-1 * Y2^2 * Y3 * Y2^-1, (Y2^-1 * Y1)^3, Y1 * Y2 * Y3^-1 * Y1 * Y2^-1 * Y3^-1, Y2^2 * Y1 * Y2^-2 * Y1, Y2^6, (Y2^-1 * R * Y2^-1)^2, (Y3 * Y2^-1 * Y3 * Y2)^2 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 10, 82)(5, 77, 17, 89)(6, 78, 8, 80)(7, 79, 23, 95)(9, 81, 29, 101)(12, 84, 24, 96)(13, 85, 36, 108)(14, 86, 27, 99)(15, 87, 26, 98)(16, 88, 32, 104)(18, 90, 46, 118)(19, 91, 31, 103)(20, 92, 28, 100)(21, 93, 48, 120)(22, 94, 41, 113)(25, 97, 43, 115)(30, 102, 44, 116)(33, 105, 50, 122)(34, 106, 52, 124)(35, 107, 54, 126)(37, 109, 53, 125)(38, 110, 56, 128)(39, 111, 55, 127)(40, 112, 64, 136)(42, 114, 67, 139)(45, 117, 60, 132)(47, 119, 59, 131)(49, 121, 61, 133)(51, 123, 62, 134)(57, 129, 71, 143)(58, 130, 69, 141)(63, 135, 68, 140)(65, 137, 70, 142)(66, 138, 72, 144)(145, 217, 147, 219, 156, 228, 181, 253, 163, 235, 149, 221)(146, 218, 151, 223, 168, 240, 198, 270, 175, 247, 153, 225)(148, 220, 159, 231, 182, 254, 207, 279, 189, 261, 160, 232)(150, 222, 165, 237, 183, 255, 211, 283, 191, 263, 166, 238)(152, 224, 171, 243, 199, 271, 216, 288, 203, 275, 172, 244)(154, 226, 177, 249, 200, 272, 213, 285, 204, 276, 178, 250)(155, 227, 173, 245, 197, 269, 167, 239, 161, 233, 179, 251)(157, 229, 174, 246, 201, 273, 169, 241, 162, 234, 184, 256)(158, 230, 185, 257, 210, 282, 192, 264, 164, 236, 186, 258)(170, 242, 196, 268, 212, 284, 194, 266, 176, 248, 202, 274)(180, 252, 195, 267, 215, 287, 193, 265, 190, 262, 209, 281)(187, 259, 206, 278, 208, 280, 205, 277, 188, 260, 214, 286)
	L = (1, 148)(2, 152)(3, 157)(4, 150)(5, 162)(6, 145)(7, 169)(8, 154)(9, 174)(10, 146)(11, 171)(12, 182)(13, 158)(14, 147)(15, 187)(16, 188)(17, 172)(18, 164)(19, 189)(20, 149)(21, 193)(22, 195)(23, 159)(24, 199)(25, 170)(26, 151)(27, 180)(28, 190)(29, 160)(30, 176)(31, 203)(32, 153)(33, 205)(34, 206)(35, 207)(36, 155)(37, 201)(38, 183)(39, 156)(40, 212)(41, 178)(42, 213)(43, 167)(44, 173)(45, 191)(46, 161)(47, 163)(48, 177)(49, 194)(50, 165)(51, 196)(52, 166)(53, 216)(54, 184)(55, 200)(56, 168)(57, 210)(58, 211)(59, 204)(60, 175)(61, 192)(62, 185)(63, 208)(64, 179)(65, 202)(66, 181)(67, 209)(68, 198)(69, 214)(70, 186)(71, 197)(72, 215)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1894
Graph:: simple bipartite
	v = 48 e = 144 f = 42
	degree seq :: [ 4^36, 12^12 ]

E28.1893 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y2 * Y3)^2, (R * Y3)^2, (R * Y1)^2, Y1^2 * Y3 * Y1^-2 * Y3, (Y1 * Y2)^3, Y1 * Y3 * Y2 * Y1^-2 * Y2 * Y1, (Y3 * Y1^-1 * Y3 * Y1)^2, (Y1^-3 * Y3)^2, Y2 * Y1 * Y3 * Y1 * Y2 * Y1^-1 * Y3 * Y1^-1, Y2 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 6, 78, 17, 89, 42, 114, 35, 107, 54, 126, 33, 105, 52, 124, 41, 113, 16, 88, 5, 77)(3, 75, 9, 81, 25, 97, 55, 127, 71, 143, 62, 134, 53, 125, 60, 132, 72, 144, 64, 136, 31, 103, 11, 83)(4, 76, 12, 84, 19, 91, 46, 118, 39, 111, 15, 87, 24, 96, 8, 80, 23, 95, 44, 116, 36, 108, 13, 85)(7, 79, 20, 92, 47, 119, 56, 128, 67, 139, 66, 138, 32, 104, 61, 133, 70, 142, 69, 141, 38, 110, 22, 94)(10, 82, 28, 100, 18, 90, 45, 117, 63, 135, 30, 102, 58, 130, 27, 99, 51, 123, 68, 140, 40, 112, 29, 101)(14, 86, 37, 109, 21, 93, 49, 121, 43, 115, 59, 131, 34, 106, 50, 122, 65, 137, 48, 120, 57, 129, 26, 98)(145, 217, 147, 219)(146, 218, 151, 223)(148, 220, 154, 226)(149, 221, 158, 230)(150, 222, 162, 234)(152, 224, 165, 237)(153, 225, 170, 242)(155, 227, 164, 236)(156, 228, 176, 248)(157, 229, 178, 250)(159, 231, 182, 254)(160, 232, 184, 256)(161, 233, 187, 259)(163, 235, 169, 241)(166, 238, 189, 261)(167, 239, 195, 267)(168, 240, 197, 269)(171, 243, 200, 272)(172, 244, 203, 275)(173, 245, 205, 277)(174, 246, 192, 264)(175, 247, 180, 252)(177, 249, 209, 281)(179, 251, 211, 283)(181, 253, 212, 284)(183, 255, 207, 279)(185, 257, 214, 286)(186, 258, 215, 287)(188, 260, 191, 263)(190, 262, 201, 273)(193, 265, 206, 278)(194, 266, 208, 280)(196, 268, 216, 288)(198, 270, 202, 274)(199, 271, 210, 282)(204, 276, 213, 285)
	L = (1, 148)(2, 152)(3, 154)(4, 145)(5, 159)(6, 163)(7, 165)(8, 146)(9, 171)(10, 147)(11, 174)(12, 177)(13, 179)(14, 182)(15, 149)(16, 180)(17, 188)(18, 169)(19, 150)(20, 192)(21, 151)(22, 194)(23, 196)(24, 198)(25, 162)(26, 200)(27, 153)(28, 204)(29, 206)(30, 155)(31, 184)(32, 209)(33, 156)(34, 211)(35, 157)(36, 160)(37, 210)(38, 158)(39, 186)(40, 175)(41, 190)(42, 183)(43, 191)(44, 161)(45, 208)(46, 185)(47, 187)(48, 164)(49, 205)(50, 166)(51, 216)(52, 167)(53, 202)(54, 168)(55, 212)(56, 170)(57, 214)(58, 197)(59, 213)(60, 172)(61, 193)(62, 173)(63, 215)(64, 189)(65, 176)(66, 181)(67, 178)(68, 199)(69, 203)(70, 201)(71, 207)(72, 195)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1891
Graph:: simple bipartite
	v = 42 e = 144 f = 48
	degree seq :: [ 4^36, 24^6 ]

E28.1894 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^3, (Y3^-1 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1^-1 * Y2 * Y1 * Y2, Y1 * Y2 * Y1^2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y1^-4 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, (Y3 * Y1 * Y3 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 7, 79, 23, 95, 50, 122, 49, 121, 63, 135, 37, 109, 61, 133, 42, 114, 19, 91, 5, 77)(3, 75, 11, 83, 18, 90, 41, 113, 71, 143, 66, 138, 52, 124, 43, 115, 72, 144, 64, 136, 32, 104, 13, 85)(4, 76, 15, 87, 35, 107, 67, 139, 45, 117, 20, 92, 44, 116, 46, 118, 56, 128, 26, 98, 8, 80, 16, 88)(6, 78, 21, 93, 39, 111, 69, 141, 53, 125, 24, 96, 29, 101, 9, 81, 28, 100, 59, 131, 36, 108, 22, 94)(10, 82, 17, 89, 12, 84, 31, 103, 48, 120, 51, 123, 55, 127, 25, 97, 54, 126, 65, 137, 60, 132, 30, 102)(14, 86, 33, 105, 38, 110, 68, 140, 70, 142, 40, 112, 58, 130, 27, 99, 57, 129, 62, 134, 47, 119, 34, 106)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 158, 230)(149, 221, 161, 233)(150, 222, 156, 228)(151, 223, 168, 240)(153, 225, 171, 243)(154, 226, 155, 227)(157, 229, 160, 232)(159, 231, 180, 252)(162, 234, 184, 256)(163, 235, 165, 237)(164, 236, 183, 255)(166, 238, 178, 250)(167, 239, 195, 267)(169, 241, 182, 254)(170, 242, 173, 245)(172, 244, 204, 276)(174, 246, 202, 274)(175, 247, 191, 263)(176, 248, 177, 249)(179, 251, 193, 265)(181, 253, 209, 281)(185, 257, 211, 283)(186, 258, 188, 260)(187, 259, 190, 262)(189, 261, 214, 286)(192, 264, 210, 282)(194, 266, 215, 287)(196, 268, 206, 278)(197, 269, 199, 271)(198, 270, 208, 280)(200, 272, 201, 273)(203, 275, 207, 279)(205, 277, 216, 288)(212, 284, 213, 285)
	L = (1, 148)(2, 153)(3, 156)(4, 150)(5, 162)(6, 145)(7, 169)(8, 155)(9, 154)(10, 146)(11, 171)(12, 158)(13, 151)(14, 147)(15, 181)(16, 182)(17, 183)(18, 164)(19, 175)(20, 149)(21, 190)(22, 192)(23, 196)(24, 160)(25, 157)(26, 167)(27, 152)(28, 205)(29, 206)(30, 185)(31, 187)(32, 159)(33, 209)(34, 179)(35, 210)(36, 177)(37, 176)(38, 168)(39, 184)(40, 161)(41, 207)(42, 213)(43, 163)(44, 208)(45, 197)(46, 191)(47, 165)(48, 193)(49, 166)(50, 189)(51, 173)(52, 170)(53, 194)(54, 186)(55, 214)(56, 172)(57, 216)(58, 203)(59, 211)(60, 201)(61, 200)(62, 195)(63, 174)(64, 212)(65, 180)(66, 178)(67, 202)(68, 188)(69, 198)(70, 215)(71, 199)(72, 204)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1892
Graph:: simple bipartite
	v = 42 e = 144 f = 48
	degree seq :: [ 4^36, 24^6 ]

E28.1895 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (R * Y1)^2, (Y1 * Y3)^2, (R * Y3)^2, (Y2^-1 * Y3)^2, Y1 * Y2 * Y1 * Y3^-1 * Y2^-1, R * Y2 * R * Y3^-1 * Y2^-1, Y2 * Y1 * Y2^2 * Y3, Y1^2 * Y3 * Y1^-1 * Y3 * Y1, Y1^2 * Y2^-4, Y3^-1 * Y1 * Y3^-1 * Y1^3, Y1^6, (Y2 * Y1^-1)^3, (Y3 * Y2 * Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 8, 80, 32, 104, 23, 95, 5, 77)(3, 75, 13, 85, 33, 105, 37, 109, 55, 127, 16, 88)(4, 76, 18, 90, 34, 106, 12, 84, 47, 119, 20, 92)(6, 78, 25, 97, 35, 107, 58, 130, 64, 136, 27, 99)(7, 79, 30, 102, 36, 108, 22, 94, 41, 113, 10, 82)(9, 81, 15, 87, 53, 125, 62, 134, 21, 93, 38, 110)(11, 83, 42, 114, 68, 140, 31, 103, 24, 96, 44, 116)(14, 86, 50, 122, 46, 118, 19, 91, 28, 100, 51, 123)(17, 89, 39, 111, 69, 141, 54, 126, 70, 142, 48, 120)(26, 98, 57, 129, 56, 128, 59, 131, 49, 121, 67, 139)(29, 101, 63, 135, 65, 137, 40, 112, 45, 117, 66, 138)(43, 115, 71, 143, 61, 133, 72, 144, 52, 124, 60, 132)(145, 217, 147, 219, 158, 230, 179, 251, 152, 224, 177, 249, 190, 262, 208, 280, 167, 239, 199, 271, 172, 244, 150, 222)(146, 218, 153, 225, 173, 245, 212, 284, 176, 248, 197, 269, 209, 281, 168, 240, 149, 221, 165, 237, 189, 261, 155, 227)(148, 220, 163, 235, 203, 275, 213, 285, 178, 250, 195, 267, 211, 283, 214, 286, 191, 263, 194, 266, 201, 273, 161, 233)(151, 223, 170, 242, 181, 253, 188, 260, 180, 252, 200, 272, 160, 232, 186, 258, 185, 257, 193, 265, 157, 229, 175, 247)(154, 226, 184, 256, 216, 288, 198, 270, 174, 246, 210, 282, 204, 276, 192, 264, 166, 238, 207, 279, 215, 287, 183, 255)(156, 228, 187, 259, 206, 278, 169, 241, 164, 236, 205, 277, 182, 254, 202, 274, 162, 234, 196, 268, 159, 231, 171, 243)
	L = (1, 148)(2, 154)(3, 159)(4, 151)(5, 166)(6, 170)(7, 145)(8, 178)(9, 181)(10, 156)(11, 187)(12, 146)(13, 192)(14, 168)(15, 161)(16, 198)(17, 147)(18, 149)(19, 204)(20, 176)(21, 157)(22, 162)(23, 191)(24, 196)(25, 210)(26, 173)(27, 184)(28, 212)(29, 150)(30, 164)(31, 163)(32, 174)(33, 206)(34, 180)(35, 200)(36, 152)(37, 183)(38, 214)(39, 153)(40, 201)(41, 167)(42, 194)(43, 190)(44, 195)(45, 208)(46, 155)(47, 185)(48, 165)(49, 189)(50, 216)(51, 215)(52, 158)(53, 160)(54, 197)(55, 182)(56, 209)(57, 171)(58, 207)(59, 169)(60, 175)(61, 172)(62, 213)(63, 211)(64, 193)(65, 179)(66, 203)(67, 202)(68, 205)(69, 177)(70, 199)(71, 188)(72, 186)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4^12 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E28.1890
Graph:: bipartite
	v = 18 e = 144 f = 72
	degree seq :: [ 12^12, 24^6 ]

E28.1896 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {12, 12, 12})
Quotient :: edge
Aut^+ = C3 x (C3 : Q8) (small group id <72, 26>)
Aut   = (C12 x S3) : C2 (small group id <144, 142>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, T2 * T1^-1 * T2^-1 * T1^-1, (F * T1)^2, T1^-1 * T2^2 * T1^2 * T2^-2 * T1^-1, T2^4 * T1^-1 * T2^2 * T1^-5, T1^-1 * T2 * T1^4 * T2^5 * T1^-1, T2^12, T1^12 ]
Map:: non-degenerate
	R = (1, 3, 10, 21, 36, 55, 62, 61, 41, 25, 13, 5)(2, 7, 17, 31, 49, 71, 56, 72, 50, 32, 18, 8)(4, 9, 20, 35, 54, 64, 42, 63, 60, 40, 24, 12)(6, 15, 29, 47, 69, 57, 37, 51, 70, 48, 30, 16)(11, 19, 34, 53, 66, 44, 26, 43, 65, 59, 39, 23)(14, 27, 45, 67, 58, 38, 22, 33, 52, 68, 46, 28)(73, 74, 78, 86, 98, 114, 134, 128, 109, 94, 83, 76)(75, 81, 91, 105, 123, 144, 133, 135, 115, 99, 87, 79)(77, 84, 95, 110, 129, 143, 127, 136, 116, 100, 88, 80)(82, 89, 101, 117, 137, 132, 113, 122, 142, 124, 106, 92)(85, 90, 102, 118, 138, 126, 108, 121, 141, 130, 111, 96)(93, 107, 125, 140, 120, 104, 97, 112, 131, 139, 119, 103)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E28.1898
Transitivity :: ET+
Graph:: bipartite
	v = 12 e = 72 f = 6
	degree seq :: [ 12^12 ]

E28.1897 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {12, 12, 12})
Quotient :: edge
Aut^+ = C3 x (C3 : Q8) (small group id <72, 26>)
Aut   = (C12 x S3) : C2 (small group id <144, 142>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^2 * T1^-1 * T2^-2 * T1, T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-2, T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1 * T2, T2^3 * T1^-2 * T2 * T1^-2, T2 * T1^2 * T2 * T1^-4, (T2 * T1^-1)^4 ]
Map:: non-degenerate
	R = (1, 3, 10, 30, 64, 36, 59, 24, 54, 21, 17, 5)(2, 7, 22, 16, 34, 11, 32, 50, 69, 47, 26, 8)(4, 12, 31, 58, 71, 53, 42, 15, 29, 9, 28, 14)(6, 19, 48, 25, 57, 23, 55, 43, 66, 33, 52, 20)(13, 37, 65, 41, 61, 27, 44, 40, 63, 35, 62, 39)(18, 45, 67, 51, 70, 49, 38, 60, 72, 56, 68, 46)(73, 74, 78, 90, 116, 114, 131, 104, 127, 110, 85, 76)(75, 81, 99, 132, 97, 80, 96, 130, 111, 117, 105, 83)(77, 87, 113, 121, 91, 119, 108, 84, 107, 118, 115, 88)(79, 93, 125, 109, 123, 92, 122, 102, 86, 112, 128, 95)(82, 94, 120, 139, 135, 101, 126, 141, 138, 144, 137, 103)(89, 98, 124, 140, 133, 143, 136, 106, 129, 142, 134, 100)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E28.1899
Transitivity :: ET+
Graph:: bipartite
	v = 12 e = 72 f = 6
	degree seq :: [ 12^12 ]

E28.1898 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {12, 12, 12})
Quotient :: loop
Aut^+ = C3 x (C3 : Q8) (small group id <72, 26>)
Aut   = (C12 x S3) : C2 (small group id <144, 142>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, T2 * T1^-1 * T2^-1 * T1^-1, (F * T1)^2, T1^-1 * T2^2 * T1^2 * T2^-2 * T1^-1, T2^4 * T1^-1 * T2^2 * T1^-5, T1^-1 * T2 * T1^4 * T2^5 * T1^-1, T2^12, T1^12 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 10, 82, 21, 93, 36, 108, 55, 127, 62, 134, 61, 133, 41, 113, 25, 97, 13, 85, 5, 77)(2, 74, 7, 79, 17, 89, 31, 103, 49, 121, 71, 143, 56, 128, 72, 144, 50, 122, 32, 104, 18, 90, 8, 80)(4, 76, 9, 81, 20, 92, 35, 107, 54, 126, 64, 136, 42, 114, 63, 135, 60, 132, 40, 112, 24, 96, 12, 84)(6, 78, 15, 87, 29, 101, 47, 119, 69, 141, 57, 129, 37, 109, 51, 123, 70, 142, 48, 120, 30, 102, 16, 88)(11, 83, 19, 91, 34, 106, 53, 125, 66, 138, 44, 116, 26, 98, 43, 115, 65, 137, 59, 131, 39, 111, 23, 95)(14, 86, 27, 99, 45, 117, 67, 139, 58, 130, 38, 110, 22, 94, 33, 105, 52, 124, 68, 140, 46, 118, 28, 100)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 84)(6, 86)(7, 75)(8, 77)(9, 91)(10, 89)(11, 76)(12, 95)(13, 90)(14, 98)(15, 79)(16, 80)(17, 101)(18, 102)(19, 105)(20, 82)(21, 107)(22, 83)(23, 110)(24, 85)(25, 112)(26, 114)(27, 87)(28, 88)(29, 117)(30, 118)(31, 93)(32, 97)(33, 123)(34, 92)(35, 125)(36, 121)(37, 94)(38, 129)(39, 96)(40, 131)(41, 122)(42, 134)(43, 99)(44, 100)(45, 137)(46, 138)(47, 103)(48, 104)(49, 141)(50, 142)(51, 144)(52, 106)(53, 140)(54, 108)(55, 136)(56, 109)(57, 143)(58, 111)(59, 139)(60, 113)(61, 135)(62, 128)(63, 115)(64, 116)(65, 132)(66, 126)(67, 119)(68, 120)(69, 130)(70, 124)(71, 127)(72, 133)
	local type(s) :: { ( 12^24 ) }
Outer automorphisms :: reflexible
Dual of E28.1896
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 72 f = 12
	degree seq :: [ 24^6 ]

E28.1899 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {12, 12, 12})
Quotient :: loop
Aut^+ = C3 x (C3 : Q8) (small group id <72, 26>)
Aut   = (C12 x S3) : C2 (small group id <144, 142>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^2 * T1^-1 * T2^-2 * T1, T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-2, T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1 * T2, T2^3 * T1^-2 * T2 * T1^-2, T2 * T1^2 * T2 * T1^-4, (T2 * T1^-1)^4 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 10, 82, 30, 102, 64, 136, 36, 108, 59, 131, 24, 96, 54, 126, 21, 93, 17, 89, 5, 77)(2, 74, 7, 79, 22, 94, 16, 88, 34, 106, 11, 83, 32, 104, 50, 122, 69, 141, 47, 119, 26, 98, 8, 80)(4, 76, 12, 84, 31, 103, 58, 130, 71, 143, 53, 125, 42, 114, 15, 87, 29, 101, 9, 81, 28, 100, 14, 86)(6, 78, 19, 91, 48, 120, 25, 97, 57, 129, 23, 95, 55, 127, 43, 115, 66, 138, 33, 105, 52, 124, 20, 92)(13, 85, 37, 109, 65, 137, 41, 113, 61, 133, 27, 99, 44, 116, 40, 112, 63, 135, 35, 107, 62, 134, 39, 111)(18, 90, 45, 117, 67, 139, 51, 123, 70, 142, 49, 121, 38, 110, 60, 132, 72, 144, 56, 128, 68, 140, 46, 118)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 87)(6, 90)(7, 93)(8, 96)(9, 99)(10, 94)(11, 75)(12, 107)(13, 76)(14, 112)(15, 113)(16, 77)(17, 98)(18, 116)(19, 119)(20, 122)(21, 125)(22, 120)(23, 79)(24, 130)(25, 80)(26, 124)(27, 132)(28, 89)(29, 126)(30, 86)(31, 82)(32, 127)(33, 83)(34, 129)(35, 118)(36, 84)(37, 123)(38, 85)(39, 117)(40, 128)(41, 121)(42, 131)(43, 88)(44, 114)(45, 105)(46, 115)(47, 108)(48, 139)(49, 91)(50, 102)(51, 92)(52, 140)(53, 109)(54, 141)(55, 110)(56, 95)(57, 142)(58, 111)(59, 104)(60, 97)(61, 143)(62, 100)(63, 101)(64, 106)(65, 103)(66, 144)(67, 135)(68, 133)(69, 138)(70, 134)(71, 136)(72, 137)
	local type(s) :: { ( 12^24 ) }
Outer automorphisms :: reflexible
Dual of E28.1897
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 72 f = 12
	degree seq :: [ 24^6 ]

E28.1900 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : Q8) (small group id <72, 26>)
Aut   = (C12 x S3) : C2 (small group id <144, 142>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y2 * Y1 * Y2 * Y3, Y3 * Y2^-1 * Y3^-1 * Y2^-1, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y2 * Y1^-1 * Y2 * Y3^-1, Y2^-2 * Y1^-1 * Y3^2 * Y2^-2 * Y1^3, Y2^2 * Y3^4 * Y2^3 * Y3 * Y2^-1 * Y1^-1, Y2^6 * Y1^-6, Y2 * Y3^2 * Y2^3 * Y1^-3 * Y2^-2 * Y1^-1, Y1^12, Y2^6 * Y1^6, Y3^12 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 14, 86, 26, 98, 42, 114, 62, 134, 60, 132, 40, 112, 24, 96, 12, 84, 4, 76)(3, 75, 8, 80, 15, 87, 28, 100, 43, 115, 64, 136, 61, 133, 71, 143, 55, 127, 36, 108, 21, 93, 10, 82)(5, 77, 7, 79, 16, 88, 27, 99, 44, 116, 63, 135, 51, 123, 72, 144, 59, 131, 39, 111, 23, 95, 11, 83)(9, 81, 18, 90, 29, 101, 46, 118, 65, 137, 56, 128, 41, 113, 49, 121, 70, 142, 54, 126, 35, 107, 20, 92)(13, 85, 17, 89, 30, 102, 45, 117, 66, 138, 52, 124, 33, 105, 50, 122, 69, 141, 58, 130, 38, 110, 22, 94)(19, 91, 32, 104, 47, 119, 68, 140, 57, 129, 37, 109, 25, 97, 31, 103, 48, 120, 67, 139, 53, 125, 34, 106)(145, 217, 147, 219, 153, 225, 163, 235, 177, 249, 195, 267, 206, 278, 205, 277, 185, 257, 169, 241, 157, 229, 149, 221)(146, 218, 151, 223, 161, 233, 175, 247, 193, 265, 215, 287, 204, 276, 216, 288, 194, 266, 176, 248, 162, 234, 152, 224)(148, 220, 155, 227, 166, 238, 181, 253, 200, 272, 208, 280, 186, 258, 207, 279, 196, 268, 178, 250, 164, 236, 154, 226)(150, 222, 159, 231, 173, 245, 191, 263, 213, 285, 203, 275, 184, 256, 199, 271, 214, 286, 192, 264, 174, 246, 160, 232)(156, 228, 165, 237, 179, 251, 197, 269, 210, 282, 188, 260, 170, 242, 187, 259, 209, 281, 201, 273, 182, 254, 167, 239)(158, 230, 171, 243, 189, 261, 211, 283, 198, 270, 180, 252, 168, 240, 183, 255, 202, 274, 212, 284, 190, 262, 172, 244)
	L = (1, 148)(2, 145)(3, 154)(4, 156)(5, 155)(6, 146)(7, 149)(8, 147)(9, 164)(10, 165)(11, 167)(12, 168)(13, 166)(14, 150)(15, 152)(16, 151)(17, 157)(18, 153)(19, 178)(20, 179)(21, 180)(22, 182)(23, 183)(24, 184)(25, 181)(26, 158)(27, 160)(28, 159)(29, 162)(30, 161)(31, 169)(32, 163)(33, 196)(34, 197)(35, 198)(36, 199)(37, 201)(38, 202)(39, 203)(40, 204)(41, 200)(42, 170)(43, 172)(44, 171)(45, 174)(46, 173)(47, 176)(48, 175)(49, 185)(50, 177)(51, 207)(52, 210)(53, 211)(54, 214)(55, 215)(56, 209)(57, 212)(58, 213)(59, 216)(60, 206)(61, 208)(62, 186)(63, 188)(64, 187)(65, 190)(66, 189)(67, 192)(68, 191)(69, 194)(70, 193)(71, 205)(72, 195)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1902
Graph:: bipartite
	v = 12 e = 144 f = 78
	degree seq :: [ 24^12 ]

E28.1901 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : Q8) (small group id <72, 26>)
Aut   = (C12 x S3) : C2 (small group id <144, 142>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1 * Y3, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y3 * Y1^-1 * Y2 * Y3^-1 * Y1, Y3^-1 * Y1 * Y2 * Y1^-2 * Y2^-1, Y3^2 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y1^-1 * Y2^-1 * Y3^-2, Y1 * Y2 * Y1 * Y3^-2 * Y2, (Y2 * Y3 * Y2 * Y1^-1)^2, Y2 * Y3 * Y2^-5 * Y1^-1, Y1^-1 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-2 * Y1^-1, Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y2 * Y3^2 * Y2 * Y1^-1 * Y2^2 * Y1^-1, Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y2^2 * Y1 * Y2^-1 * Y3 * Y2^2 * Y3^-2 * Y2, Y1^12 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 18, 90, 44, 116, 39, 111, 56, 128, 32, 104, 53, 125, 27, 99, 13, 85, 4, 76)(3, 75, 9, 81, 19, 91, 14, 86, 25, 97, 8, 80, 24, 96, 45, 117, 68, 140, 63, 135, 33, 105, 11, 83)(5, 77, 15, 87, 20, 92, 47, 119, 67, 139, 61, 133, 36, 108, 12, 84, 23, 95, 7, 79, 21, 93, 16, 88)(10, 82, 29, 101, 46, 118, 34, 106, 57, 129, 28, 100, 55, 127, 37, 109, 59, 131, 26, 98, 58, 130, 31, 103)(17, 89, 41, 113, 48, 120, 35, 107, 52, 124, 22, 94, 50, 122, 40, 112, 54, 126, 38, 110, 49, 121, 42, 114)(30, 102, 60, 132, 69, 141, 66, 138, 71, 143, 64, 136, 43, 115, 51, 123, 70, 142, 62, 134, 72, 144, 65, 137)(145, 217, 147, 219, 154, 226, 174, 246, 194, 266, 180, 252, 200, 272, 168, 240, 199, 271, 187, 259, 161, 233, 149, 221)(146, 218, 151, 223, 166, 238, 195, 267, 178, 250, 155, 227, 176, 248, 191, 263, 186, 258, 204, 276, 170, 242, 152, 224)(148, 220, 156, 228, 179, 251, 208, 280, 173, 245, 207, 279, 183, 255, 159, 231, 182, 254, 209, 281, 181, 253, 158, 230)(150, 222, 163, 235, 190, 262, 213, 285, 198, 270, 167, 239, 197, 269, 212, 284, 203, 275, 214, 286, 192, 264, 164, 236)(153, 225, 171, 243, 205, 277, 185, 257, 210, 282, 175, 247, 189, 261, 162, 234, 160, 232, 184, 256, 206, 278, 172, 244)(157, 229, 177, 249, 202, 274, 216, 288, 196, 268, 211, 283, 188, 260, 169, 241, 201, 273, 215, 287, 193, 265, 165, 237)
	L = (1, 148)(2, 145)(3, 155)(4, 157)(5, 160)(6, 146)(7, 167)(8, 169)(9, 147)(10, 175)(11, 177)(12, 180)(13, 171)(14, 163)(15, 149)(16, 165)(17, 186)(18, 150)(19, 153)(20, 159)(21, 151)(22, 196)(23, 156)(24, 152)(25, 158)(26, 203)(27, 197)(28, 201)(29, 154)(30, 209)(31, 202)(32, 200)(33, 207)(34, 190)(35, 192)(36, 205)(37, 199)(38, 198)(39, 188)(40, 194)(41, 161)(42, 193)(43, 208)(44, 162)(45, 168)(46, 173)(47, 164)(48, 185)(49, 182)(50, 166)(51, 187)(52, 179)(53, 176)(54, 184)(55, 172)(56, 183)(57, 178)(58, 170)(59, 181)(60, 174)(61, 211)(62, 214)(63, 212)(64, 215)(65, 216)(66, 213)(67, 191)(68, 189)(69, 204)(70, 195)(71, 210)(72, 206)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1903
Graph:: bipartite
	v = 12 e = 144 f = 78
	degree seq :: [ 24^12 ]

E28.1902 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : Q8) (small group id <72, 26>)
Aut   = (C12 x S3) : C2 (small group id <144, 142>)
|r| :: 2
Presentation :: [ Y1, R^2, Y3 * Y2^-1 * Y3 * Y2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y3^-2 * Y2^-2 * Y3^-3 * Y2^-3, Y2^-1 * Y3^-1 * Y2^-4 * Y3^-5 * Y2^-1, Y2^12, (Y3^-1 * Y1^-1)^12 ]
Map::
	R = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)(145, 217, 146, 218, 150, 222, 158, 230, 170, 242, 186, 258, 206, 278, 204, 276, 184, 256, 168, 240, 156, 228, 148, 220)(147, 219, 152, 224, 159, 231, 172, 244, 187, 259, 208, 280, 205, 277, 215, 287, 199, 271, 180, 252, 165, 237, 154, 226)(149, 221, 151, 223, 160, 232, 171, 243, 188, 260, 207, 279, 195, 267, 216, 288, 203, 275, 183, 255, 167, 239, 155, 227)(153, 225, 162, 234, 173, 245, 190, 262, 209, 281, 200, 272, 185, 257, 193, 265, 214, 286, 198, 270, 179, 251, 164, 236)(157, 229, 161, 233, 174, 246, 189, 261, 210, 282, 196, 268, 177, 249, 194, 266, 213, 285, 202, 274, 182, 254, 166, 238)(163, 235, 176, 248, 191, 263, 212, 284, 201, 273, 181, 253, 169, 241, 175, 247, 192, 264, 211, 283, 197, 269, 178, 250)
	L = (1, 147)(2, 151)(3, 153)(4, 155)(5, 145)(6, 159)(7, 161)(8, 146)(9, 163)(10, 148)(11, 166)(12, 165)(13, 149)(14, 171)(15, 173)(16, 150)(17, 175)(18, 152)(19, 177)(20, 154)(21, 179)(22, 181)(23, 156)(24, 183)(25, 157)(26, 187)(27, 189)(28, 158)(29, 191)(30, 160)(31, 193)(32, 162)(33, 195)(34, 164)(35, 197)(36, 168)(37, 200)(38, 167)(39, 202)(40, 199)(41, 169)(42, 207)(43, 209)(44, 170)(45, 211)(46, 172)(47, 213)(48, 174)(49, 215)(50, 176)(51, 206)(52, 178)(53, 210)(54, 180)(55, 214)(56, 208)(57, 182)(58, 212)(59, 184)(60, 216)(61, 185)(62, 205)(63, 196)(64, 186)(65, 201)(66, 188)(67, 198)(68, 190)(69, 203)(70, 192)(71, 204)(72, 194)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 24, 24 ), ( 24^24 ) }
Outer automorphisms :: reflexible
Dual of E28.1900
Graph:: simple bipartite
	v = 78 e = 144 f = 12
	degree seq :: [ 2^72, 24^6 ]

E28.1903 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : Q8) (small group id <72, 26>)
Aut   = (C12 x S3) : C2 (small group id <144, 142>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y2^2 * Y3^-1 * Y2^-2, (R * Y2 * Y3^-1)^2, Y2^2 * Y3^-1 * Y2 * Y3^-1 * Y2, (R * Y2^-2)^2, Y3^2 * Y2^-1 * Y3^-4 * Y2^-1, Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y2^-3 * Y3^-2 * Y2^-1 * Y3^-2, Y2 * Y3 * Y2 * Y3^-5, (Y3^-1 * Y1^-1)^12 ]
Map::
	R = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)(145, 217, 146, 218, 150, 222, 162, 234, 188, 260, 171, 243, 193, 265, 184, 256, 201, 273, 178, 250, 157, 229, 148, 220)(147, 219, 153, 225, 163, 235, 190, 262, 211, 283, 207, 279, 180, 252, 158, 230, 169, 241, 152, 224, 168, 240, 155, 227)(149, 221, 159, 231, 164, 236, 156, 228, 167, 239, 151, 223, 165, 237, 189, 261, 212, 284, 205, 277, 179, 251, 160, 232)(154, 226, 173, 245, 191, 263, 181, 253, 203, 275, 170, 242, 202, 274, 176, 248, 200, 272, 172, 244, 199, 271, 175, 247)(161, 233, 185, 257, 192, 264, 183, 255, 198, 270, 182, 254, 194, 266, 177, 249, 197, 269, 166, 238, 195, 267, 186, 258)(174, 246, 204, 276, 213, 285, 210, 282, 215, 287, 206, 278, 187, 259, 196, 268, 214, 286, 208, 280, 216, 288, 209, 281)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 163)(7, 166)(8, 146)(9, 171)(10, 174)(11, 162)(12, 177)(13, 168)(14, 148)(15, 182)(16, 183)(17, 149)(18, 189)(19, 191)(20, 150)(21, 193)(22, 196)(23, 188)(24, 199)(25, 200)(26, 152)(27, 205)(28, 153)(29, 207)(30, 194)(31, 190)(32, 155)(33, 206)(34, 159)(35, 157)(36, 202)(37, 158)(38, 210)(39, 204)(40, 160)(41, 209)(42, 208)(43, 161)(44, 211)(45, 186)(46, 184)(47, 213)(48, 164)(49, 180)(50, 165)(51, 179)(52, 175)(53, 212)(54, 167)(55, 216)(56, 214)(57, 169)(58, 187)(59, 215)(60, 170)(61, 185)(62, 172)(63, 178)(64, 173)(65, 181)(66, 176)(67, 203)(68, 201)(69, 197)(70, 192)(71, 195)(72, 198)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 24, 24 ), ( 24^24 ) }
Outer automorphisms :: reflexible
Dual of E28.1901
Graph:: simple bipartite
	v = 78 e = 144 f = 12
	degree seq :: [ 2^72, 24^6 ]

E28.1904 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {9, 12, 18})
Quotient :: edge
Aut^+ = Q8 : C9 (small group id <72, 3>)
Aut   = (Q8 : C9) : C2 (small group id <144, 32>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-2 * T1^-1 * T2^2 * T1, T1 * T2^-2 * T1 * T2^-2 * T1, T1^2 * T2 * T1^-1 * T2 * T1^-1 * T2, T1 * T2 * T1 * T2^3 * T1 * T2, T2 * T1 * T2 * T1^-2 * T2^-1 * T1^-2, T1^9 ]
Map:: non-degenerate
	R = (1, 3, 10, 30, 18, 49, 72, 69, 38, 47, 17, 5)(2, 7, 22, 57, 48, 66, 71, 39, 13, 37, 26, 8)(4, 12, 31, 20, 6, 19, 51, 64, 68, 62, 42, 14)(9, 28, 63, 41, 67, 36, 45, 53, 33, 44, 15, 29)(11, 32, 43, 58, 27, 24, 56, 21, 55, 46, 16, 34)(23, 40, 60, 35, 54, 52, 70, 50, 65, 61, 25, 59)(73, 74, 78, 90, 120, 140, 110, 85, 76)(75, 81, 99, 121, 139, 127, 119, 105, 83)(77, 87, 115, 102, 135, 128, 141, 117, 88)(79, 93, 126, 138, 106, 137, 109, 130, 95)(80, 96, 132, 129, 118, 142, 111, 104, 97)(82, 94, 123, 144, 143, 114, 89, 98, 103)(84, 107, 116, 91, 122, 100, 134, 131, 108)(86, 112, 125, 92, 124, 101, 136, 133, 113)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 36^9 ), ( 36^12 ) }
Outer automorphisms :: reflexible
Dual of E28.1912
Transitivity :: ET+
Graph:: bipartite
	v = 14 e = 72 f = 4
	degree seq :: [ 9^8, 12^6 ]

E28.1905 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {9, 12, 18})
Quotient :: edge
Aut^+ = Q8 : C9 (small group id <72, 3>)
Aut   = (Q8 : C9) : C2 (small group id <144, 32>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2 * T1 * T2^-2 * T1^-1 * T2, T1^2 * T2^2 * T1 * T2^2, T1^9, T1^-1 * T2 * T1^-3 * T2^3 * T1^-2 ]
Map:: non-degenerate
	R = (1, 3, 10, 30, 36, 61, 70, 45, 18, 43, 17, 5)(2, 7, 22, 37, 13, 35, 59, 68, 44, 53, 26, 8)(4, 12, 31, 58, 65, 71, 49, 20, 6, 19, 39, 14)(9, 28, 42, 62, 33, 60, 69, 48, 67, 41, 15, 29)(11, 32, 57, 51, 72, 66, 40, 54, 27, 24, 16, 21)(23, 38, 64, 34, 63, 56, 52, 55, 50, 47, 25, 46)(73, 74, 78, 90, 116, 137, 108, 85, 76)(75, 81, 99, 115, 139, 144, 133, 105, 83)(77, 87, 112, 117, 141, 129, 102, 114, 88)(79, 93, 122, 125, 126, 135, 107, 123, 95)(80, 96, 124, 140, 138, 136, 109, 104, 97)(82, 94, 111, 89, 98, 121, 142, 131, 103)(84, 106, 113, 91, 118, 132, 143, 127, 100)(86, 110, 120, 92, 119, 134, 130, 128, 101)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 36^9 ), ( 36^12 ) }
Outer automorphisms :: reflexible
Dual of E28.1913
Transitivity :: ET+
Graph:: bipartite
	v = 14 e = 72 f = 4
	degree seq :: [ 9^8, 12^6 ]

E28.1906 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {9, 12, 18})
Quotient :: edge
Aut^+ = Q8 : C9 (small group id <72, 3>)
Aut   = (Q8 : C9) : C2 (small group id <144, 32>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1 * T2^-3 * T1, T2^-1 * T1 * T2^2 * T1 * T2^-1 * T1, T2^-1 * T1 * T2^2 * T1 * T2^-1 * T1, T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2 * T1^2, T1^-5 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 3, 10, 6, 19, 43, 40, 65, 69, 72, 70, 68, 55, 58, 32, 13, 17, 5)(2, 7, 21, 18, 41, 52, 64, 63, 50, 71, 62, 56, 31, 34, 14, 4, 12, 8)(9, 25, 51, 42, 67, 61, 60, 33, 59, 49, 24, 48, 39, 23, 29, 11, 28, 26)(15, 35, 30, 27, 47, 22, 46, 45, 20, 44, 54, 66, 57, 53, 38, 16, 37, 36)(73, 74, 78, 90, 112, 136, 144, 143, 127, 103, 85, 76)(75, 81, 91, 114, 137, 132, 142, 121, 130, 111, 89, 83)(77, 87, 82, 99, 115, 118, 141, 116, 140, 129, 104, 88)(79, 92, 113, 138, 135, 110, 134, 108, 106, 102, 84, 94)(80, 95, 93, 100, 124, 97, 122, 139, 128, 105, 86, 96)(98, 109, 123, 107, 133, 119, 131, 117, 120, 126, 101, 125)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 18^12 ), ( 18^18 ) }
Outer automorphisms :: reflexible
Dual of E28.1914
Transitivity :: ET+
Graph:: bipartite
	v = 10 e = 72 f = 8
	degree seq :: [ 12^6, 18^4 ]

E28.1907 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {9, 12, 18})
Quotient :: edge
Aut^+ = Q8 : C9 (small group id <72, 3>)
Aut   = (Q8 : C9) : C2 (small group id <144, 32>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-2 * T1^-2 * T2^-1, T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1, T1^12, T2 * T1^-3 * T2 * T1^-3 * T2 * T1^5 ]
Map:: non-degenerate
	R = (1, 3, 10, 13, 27, 46, 52, 65, 72, 70, 71, 57, 36, 39, 19, 6, 17, 5)(2, 7, 14, 4, 12, 29, 31, 51, 66, 68, 64, 62, 56, 58, 37, 18, 24, 8)(9, 22, 28, 11, 23, 42, 48, 32, 53, 67, 50, 54, 59, 69, 55, 35, 45, 25)(15, 33, 30, 16, 34, 47, 26, 44, 61, 63, 49, 43, 60, 40, 20, 38, 41, 21)(73, 74, 78, 90, 108, 128, 142, 140, 124, 103, 85, 76)(75, 81, 89, 107, 111, 131, 143, 139, 137, 120, 99, 83)(77, 87, 91, 110, 129, 132, 144, 135, 118, 98, 82, 88)(79, 92, 96, 115, 130, 133, 136, 119, 123, 102, 84, 93)(80, 94, 109, 117, 134, 141, 138, 122, 101, 104, 86, 95)(97, 106, 127, 105, 126, 113, 125, 112, 114, 121, 100, 116)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 18^12 ), ( 18^18 ) }
Outer automorphisms :: reflexible
Dual of E28.1915
Transitivity :: ET+
Graph:: bipartite
	v = 10 e = 72 f = 8
	degree seq :: [ 12^6, 18^4 ]

E28.1908 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {9, 12, 18})
Quotient :: edge
Aut^+ = Q8 : C9 (small group id <72, 3>)
Aut   = (Q8 : C9) : C2 (small group id <144, 32>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1 * T2 * T1^-1 * T2 * T1^-2 * T2^-1, T1 * T2 * T1 * T2 * T1^3, T1 * T2^2 * T1^-1 * T2^2 * T1, T1^2 * T2 * T1^-1 * T2^-1 * T1 * T2^-1, T1^-2 * T2 * T1 * T2^4, T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2, T1 * T2^3 * T1^-1 * T2^-3 ]
Map:: non-degenerate
	R = (1, 3, 10, 31, 55, 60, 53, 17, 5)(2, 7, 22, 59, 45, 36, 64, 26, 8)(4, 12, 37, 62, 25, 34, 70, 44, 14)(6, 19, 51, 66, 29, 9, 28, 56, 20)(11, 33, 49, 42, 24, 61, 52, 58, 35)(13, 39, 65, 50, 16, 48, 69, 32, 41)(15, 46, 68, 30, 67, 38, 23, 27, 47)(18, 43, 63, 72, 57, 21, 40, 71, 54)(73, 74, 78, 90, 122, 134, 103, 131, 138, 144, 141, 142, 125, 136, 100, 112, 85, 76)(75, 81, 99, 115, 86, 114, 127, 92, 118, 129, 109, 124, 89, 123, 139, 143, 106, 83)(77, 87, 117, 126, 133, 104, 82, 102, 98, 135, 107, 111, 132, 95, 79, 93, 121, 88)(80, 96, 101, 137, 140, 116, 94, 130, 128, 120, 110, 84, 108, 105, 91, 113, 119, 97)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 24^9 ), ( 24^18 ) }
Outer automorphisms :: reflexible
Dual of E28.1910
Transitivity :: ET+
Graph:: bipartite
	v = 12 e = 72 f = 6
	degree seq :: [ 9^8, 18^4 ]

E28.1909 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {9, 12, 18})
Quotient :: edge
Aut^+ = Q8 : C9 (small group id <72, 3>)
Aut   = (Q8 : C9) : C2 (small group id <144, 32>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^2 * T2^-1 * T1^-1 * T2^-1, T2 * T1^-1 * T2^-1 * T1^-2 * T2^-1 * T1^-1, T1 * T2^-3 * T1^-1 * T2^3, T2^-3 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1, T2^9, T1^18 ]
Map:: non-degenerate
	R = (1, 3, 10, 27, 57, 67, 43, 17, 5)(2, 7, 21, 48, 55, 61, 53, 23, 8)(4, 12, 31, 58, 49, 66, 63, 36, 14)(6, 19, 46, 69, 65, 41, 54, 25, 9)(11, 29, 60, 50, 22, 40, 42, 47, 30)(13, 16, 39, 44, 28, 59, 71, 62, 34)(15, 37, 56, 26, 24, 32, 52, 64, 38)(18, 45, 68, 72, 70, 51, 33, 35, 20)(73, 74, 78, 90, 116, 130, 99, 120, 141, 144, 143, 135, 115, 125, 126, 105, 85, 76)(75, 81, 96, 117, 103, 122, 129, 118, 136, 142, 138, 114, 89, 113, 109, 107, 86, 83)(77, 87, 79, 92, 102, 100, 82, 98, 127, 140, 132, 134, 139, 124, 95, 123, 112, 88)(80, 94, 91, 111, 110, 121, 93, 119, 137, 131, 128, 108, 133, 101, 97, 106, 104, 84)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 24^9 ), ( 24^18 ) }
Outer automorphisms :: reflexible
Dual of E28.1911
Transitivity :: ET+
Graph:: bipartite
	v = 12 e = 72 f = 6
	degree seq :: [ 9^8, 18^4 ]

E28.1910 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {9, 12, 18})
Quotient :: loop
Aut^+ = Q8 : C9 (small group id <72, 3>)
Aut   = (Q8 : C9) : C2 (small group id <144, 32>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-2 * T1^-1 * T2^2 * T1, T1 * T2^-2 * T1 * T2^-2 * T1, T1^2 * T2 * T1^-1 * T2 * T1^-1 * T2, T1 * T2 * T1 * T2^3 * T1 * T2, T2 * T1 * T2 * T1^-2 * T2^-1 * T1^-2, T1^9 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 10, 82, 30, 102, 18, 90, 49, 121, 72, 144, 69, 141, 38, 110, 47, 119, 17, 89, 5, 77)(2, 74, 7, 79, 22, 94, 57, 129, 48, 120, 66, 138, 71, 143, 39, 111, 13, 85, 37, 109, 26, 98, 8, 80)(4, 76, 12, 84, 31, 103, 20, 92, 6, 78, 19, 91, 51, 123, 64, 136, 68, 140, 62, 134, 42, 114, 14, 86)(9, 81, 28, 100, 63, 135, 41, 113, 67, 139, 36, 108, 45, 117, 53, 125, 33, 105, 44, 116, 15, 87, 29, 101)(11, 83, 32, 104, 43, 115, 58, 130, 27, 99, 24, 96, 56, 128, 21, 93, 55, 127, 46, 118, 16, 88, 34, 106)(23, 95, 40, 112, 60, 132, 35, 107, 54, 126, 52, 124, 70, 142, 50, 122, 65, 137, 61, 133, 25, 97, 59, 131)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 87)(6, 90)(7, 93)(8, 96)(9, 99)(10, 94)(11, 75)(12, 107)(13, 76)(14, 112)(15, 115)(16, 77)(17, 98)(18, 120)(19, 122)(20, 124)(21, 126)(22, 123)(23, 79)(24, 132)(25, 80)(26, 103)(27, 121)(28, 134)(29, 136)(30, 135)(31, 82)(32, 97)(33, 83)(34, 137)(35, 116)(36, 84)(37, 130)(38, 85)(39, 104)(40, 125)(41, 86)(42, 89)(43, 102)(44, 91)(45, 88)(46, 142)(47, 105)(48, 140)(49, 139)(50, 100)(51, 144)(52, 101)(53, 92)(54, 138)(55, 119)(56, 141)(57, 118)(58, 95)(59, 108)(60, 129)(61, 113)(62, 131)(63, 128)(64, 133)(65, 109)(66, 106)(67, 127)(68, 110)(69, 117)(70, 111)(71, 114)(72, 143)
	local type(s) :: { ( 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.1908
Transitivity :: ET+ VT+ AT
Graph::
	v = 6 e = 72 f = 12
	degree seq :: [ 24^6 ]

E28.1911 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {9, 12, 18})
Quotient :: loop
Aut^+ = Q8 : C9 (small group id <72, 3>)
Aut   = (Q8 : C9) : C2 (small group id <144, 32>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2 * T1 * T2^-2 * T1^-1 * T2, T1^2 * T2^2 * T1 * T2^2, T1^9, T1^-1 * T2 * T1^-3 * T2^3 * T1^-2 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 10, 82, 30, 102, 36, 108, 61, 133, 70, 142, 45, 117, 18, 90, 43, 115, 17, 89, 5, 77)(2, 74, 7, 79, 22, 94, 37, 109, 13, 85, 35, 107, 59, 131, 68, 140, 44, 116, 53, 125, 26, 98, 8, 80)(4, 76, 12, 84, 31, 103, 58, 130, 65, 137, 71, 143, 49, 121, 20, 92, 6, 78, 19, 91, 39, 111, 14, 86)(9, 81, 28, 100, 42, 114, 62, 134, 33, 105, 60, 132, 69, 141, 48, 120, 67, 139, 41, 113, 15, 87, 29, 101)(11, 83, 32, 104, 57, 129, 51, 123, 72, 144, 66, 138, 40, 112, 54, 126, 27, 99, 24, 96, 16, 88, 21, 93)(23, 95, 38, 110, 64, 136, 34, 106, 63, 135, 56, 128, 52, 124, 55, 127, 50, 122, 47, 119, 25, 97, 46, 118)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 87)(6, 90)(7, 93)(8, 96)(9, 99)(10, 94)(11, 75)(12, 106)(13, 76)(14, 110)(15, 112)(16, 77)(17, 98)(18, 116)(19, 118)(20, 119)(21, 122)(22, 111)(23, 79)(24, 124)(25, 80)(26, 121)(27, 115)(28, 84)(29, 86)(30, 114)(31, 82)(32, 97)(33, 83)(34, 113)(35, 123)(36, 85)(37, 104)(38, 120)(39, 89)(40, 117)(41, 91)(42, 88)(43, 139)(44, 137)(45, 141)(46, 132)(47, 134)(48, 92)(49, 142)(50, 125)(51, 95)(52, 140)(53, 126)(54, 135)(55, 100)(56, 101)(57, 102)(58, 128)(59, 103)(60, 143)(61, 105)(62, 130)(63, 107)(64, 109)(65, 108)(66, 136)(67, 144)(68, 138)(69, 129)(70, 131)(71, 127)(72, 133)
	local type(s) :: { ( 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.1909
Transitivity :: ET+ VT+ AT
Graph::
	v = 6 e = 72 f = 12
	degree seq :: [ 24^6 ]

E28.1912 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {9, 12, 18})
Quotient :: loop
Aut^+ = Q8 : C9 (small group id <72, 3>)
Aut   = (Q8 : C9) : C2 (small group id <144, 32>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1 * T2^-3 * T1, T2^-1 * T1 * T2^2 * T1 * T2^-1 * T1, T2^-1 * T1 * T2^2 * T1 * T2^-1 * T1, T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2 * T1^2, T1^-5 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 10, 82, 6, 78, 19, 91, 43, 115, 40, 112, 65, 137, 69, 141, 72, 144, 70, 142, 68, 140, 55, 127, 58, 130, 32, 104, 13, 85, 17, 89, 5, 77)(2, 74, 7, 79, 21, 93, 18, 90, 41, 113, 52, 124, 64, 136, 63, 135, 50, 122, 71, 143, 62, 134, 56, 128, 31, 103, 34, 106, 14, 86, 4, 76, 12, 84, 8, 80)(9, 81, 25, 97, 51, 123, 42, 114, 67, 139, 61, 133, 60, 132, 33, 105, 59, 131, 49, 121, 24, 96, 48, 120, 39, 111, 23, 95, 29, 101, 11, 83, 28, 100, 26, 98)(15, 87, 35, 107, 30, 102, 27, 99, 47, 119, 22, 94, 46, 118, 45, 117, 20, 92, 44, 116, 54, 126, 66, 138, 57, 129, 53, 125, 38, 110, 16, 88, 37, 109, 36, 108)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 87)(6, 90)(7, 92)(8, 95)(9, 91)(10, 99)(11, 75)(12, 94)(13, 76)(14, 96)(15, 82)(16, 77)(17, 83)(18, 112)(19, 114)(20, 113)(21, 100)(22, 79)(23, 93)(24, 80)(25, 122)(26, 109)(27, 115)(28, 124)(29, 125)(30, 84)(31, 85)(32, 88)(33, 86)(34, 102)(35, 133)(36, 106)(37, 123)(38, 134)(39, 89)(40, 136)(41, 138)(42, 137)(43, 118)(44, 140)(45, 120)(46, 141)(47, 131)(48, 126)(49, 130)(50, 139)(51, 107)(52, 97)(53, 98)(54, 101)(55, 103)(56, 105)(57, 104)(58, 111)(59, 117)(60, 142)(61, 119)(62, 108)(63, 110)(64, 144)(65, 132)(66, 135)(67, 128)(68, 129)(69, 116)(70, 121)(71, 127)(72, 143)
	local type(s) :: { ( 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1904
Transitivity :: ET+ VT+ AT
Graph::
	v = 4 e = 72 f = 14
	degree seq :: [ 36^4 ]

E28.1913 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {9, 12, 18})
Quotient :: loop
Aut^+ = Q8 : C9 (small group id <72, 3>)
Aut   = (Q8 : C9) : C2 (small group id <144, 32>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-2 * T1^-2 * T2^-1, T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1, T1^12, T2 * T1^-3 * T2 * T1^-3 * T2 * T1^5 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 10, 82, 13, 85, 27, 99, 46, 118, 52, 124, 65, 137, 72, 144, 70, 142, 71, 143, 57, 129, 36, 108, 39, 111, 19, 91, 6, 78, 17, 89, 5, 77)(2, 74, 7, 79, 14, 86, 4, 76, 12, 84, 29, 101, 31, 103, 51, 123, 66, 138, 68, 140, 64, 136, 62, 134, 56, 128, 58, 130, 37, 109, 18, 90, 24, 96, 8, 80)(9, 81, 22, 94, 28, 100, 11, 83, 23, 95, 42, 114, 48, 120, 32, 104, 53, 125, 67, 139, 50, 122, 54, 126, 59, 131, 69, 141, 55, 127, 35, 107, 45, 117, 25, 97)(15, 87, 33, 105, 30, 102, 16, 88, 34, 106, 47, 119, 26, 98, 44, 116, 61, 133, 63, 135, 49, 121, 43, 115, 60, 132, 40, 112, 20, 92, 38, 110, 41, 113, 21, 93)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 87)(6, 90)(7, 92)(8, 94)(9, 89)(10, 88)(11, 75)(12, 93)(13, 76)(14, 95)(15, 91)(16, 77)(17, 107)(18, 108)(19, 110)(20, 96)(21, 79)(22, 109)(23, 80)(24, 115)(25, 106)(26, 82)(27, 83)(28, 116)(29, 104)(30, 84)(31, 85)(32, 86)(33, 126)(34, 127)(35, 111)(36, 128)(37, 117)(38, 129)(39, 131)(40, 114)(41, 125)(42, 121)(43, 130)(44, 97)(45, 134)(46, 98)(47, 123)(48, 99)(49, 100)(50, 101)(51, 102)(52, 103)(53, 112)(54, 113)(55, 105)(56, 142)(57, 132)(58, 133)(59, 143)(60, 144)(61, 136)(62, 141)(63, 118)(64, 119)(65, 120)(66, 122)(67, 137)(68, 124)(69, 138)(70, 140)(71, 139)(72, 135)
	local type(s) :: { ( 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1905
Transitivity :: ET+ VT+ AT
Graph::
	v = 4 e = 72 f = 14
	degree seq :: [ 36^4 ]

E28.1914 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {9, 12, 18})
Quotient :: loop
Aut^+ = Q8 : C9 (small group id <72, 3>)
Aut   = (Q8 : C9) : C2 (small group id <144, 32>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1 * T2 * T1^-1 * T2 * T1^-2 * T2^-1, T1 * T2 * T1 * T2 * T1^3, T1 * T2^2 * T1^-1 * T2^2 * T1, T1^2 * T2 * T1^-1 * T2^-1 * T1 * T2^-1, T1^-2 * T2 * T1 * T2^4, T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2, T1 * T2^3 * T1^-1 * T2^-3 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 10, 82, 31, 103, 55, 127, 60, 132, 53, 125, 17, 89, 5, 77)(2, 74, 7, 79, 22, 94, 59, 131, 45, 117, 36, 108, 64, 136, 26, 98, 8, 80)(4, 76, 12, 84, 37, 109, 62, 134, 25, 97, 34, 106, 70, 142, 44, 116, 14, 86)(6, 78, 19, 91, 51, 123, 66, 138, 29, 101, 9, 81, 28, 100, 56, 128, 20, 92)(11, 83, 33, 105, 49, 121, 42, 114, 24, 96, 61, 133, 52, 124, 58, 130, 35, 107)(13, 85, 39, 111, 65, 137, 50, 122, 16, 88, 48, 120, 69, 141, 32, 104, 41, 113)(15, 87, 46, 118, 68, 140, 30, 102, 67, 139, 38, 110, 23, 95, 27, 99, 47, 119)(18, 90, 43, 115, 63, 135, 72, 144, 57, 129, 21, 93, 40, 112, 71, 143, 54, 126)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 87)(6, 90)(7, 93)(8, 96)(9, 99)(10, 102)(11, 75)(12, 108)(13, 76)(14, 114)(15, 117)(16, 77)(17, 123)(18, 122)(19, 113)(20, 118)(21, 121)(22, 130)(23, 79)(24, 101)(25, 80)(26, 135)(27, 115)(28, 112)(29, 137)(30, 98)(31, 131)(32, 82)(33, 91)(34, 83)(35, 111)(36, 105)(37, 124)(38, 84)(39, 132)(40, 85)(41, 119)(42, 127)(43, 86)(44, 94)(45, 126)(46, 129)(47, 97)(48, 110)(49, 88)(50, 134)(51, 139)(52, 89)(53, 136)(54, 133)(55, 92)(56, 120)(57, 109)(58, 128)(59, 138)(60, 95)(61, 104)(62, 103)(63, 107)(64, 100)(65, 140)(66, 144)(67, 143)(68, 116)(69, 142)(70, 125)(71, 106)(72, 141)
	local type(s) :: { ( 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.1906
Transitivity :: ET+ VT+ AT
Graph::
	v = 8 e = 72 f = 10
	degree seq :: [ 18^8 ]

E28.1915 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {9, 12, 18})
Quotient :: loop
Aut^+ = Q8 : C9 (small group id <72, 3>)
Aut   = (Q8 : C9) : C2 (small group id <144, 32>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^2 * T2^-1 * T1^-1 * T2^-1, T2 * T1^-1 * T2^-1 * T1^-2 * T2^-1 * T1^-1, T1 * T2^-3 * T1^-1 * T2^3, T2^-3 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1, T2^9, T1^18 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 10, 82, 27, 99, 57, 129, 67, 139, 43, 115, 17, 89, 5, 77)(2, 74, 7, 79, 21, 93, 48, 120, 55, 127, 61, 133, 53, 125, 23, 95, 8, 80)(4, 76, 12, 84, 31, 103, 58, 130, 49, 121, 66, 138, 63, 135, 36, 108, 14, 86)(6, 78, 19, 91, 46, 118, 69, 141, 65, 137, 41, 113, 54, 126, 25, 97, 9, 81)(11, 83, 29, 101, 60, 132, 50, 122, 22, 94, 40, 112, 42, 114, 47, 119, 30, 102)(13, 85, 16, 88, 39, 111, 44, 116, 28, 100, 59, 131, 71, 143, 62, 134, 34, 106)(15, 87, 37, 109, 56, 128, 26, 98, 24, 96, 32, 104, 52, 124, 64, 136, 38, 110)(18, 90, 45, 117, 68, 140, 72, 144, 70, 142, 51, 123, 33, 105, 35, 107, 20, 92)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 87)(6, 90)(7, 92)(8, 94)(9, 96)(10, 98)(11, 75)(12, 80)(13, 76)(14, 83)(15, 79)(16, 77)(17, 113)(18, 116)(19, 111)(20, 102)(21, 119)(22, 91)(23, 123)(24, 117)(25, 106)(26, 127)(27, 120)(28, 82)(29, 97)(30, 100)(31, 122)(32, 84)(33, 85)(34, 104)(35, 86)(36, 133)(37, 107)(38, 121)(39, 110)(40, 88)(41, 109)(42, 89)(43, 125)(44, 130)(45, 103)(46, 136)(47, 137)(48, 141)(49, 93)(50, 129)(51, 112)(52, 95)(53, 126)(54, 105)(55, 140)(56, 108)(57, 118)(58, 99)(59, 128)(60, 134)(61, 101)(62, 139)(63, 115)(64, 142)(65, 131)(66, 114)(67, 124)(68, 132)(69, 144)(70, 138)(71, 135)(72, 143)
	local type(s) :: { ( 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.1907
Transitivity :: ET+ VT+ AT
Graph::
	v = 8 e = 72 f = 10
	degree seq :: [ 18^8 ]

E28.1916 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 12, 18})
Quotient :: dipole
Aut^+ = Q8 : C9 (small group id <72, 3>)
Aut   = (Q8 : C9) : C2 (small group id <144, 32>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y3)^2, (R * Y1)^2, Y2^-2 * Y1^-1 * Y2^2 * Y1, (Y2^-1 * R * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y2^-2 * Y3 * Y2^2 * Y3^-1, Y2^-2 * Y1 * Y2^-2 * Y1 * Y3^-1, Y2^-3 * Y3^-3 * Y2^-1, Y2 * Y1^-1 * Y2 * Y3^-1 * Y1 * Y2 * Y3, Y3 * Y2 * Y3 * Y2 * Y3^-2 * Y2, Y3 * Y2 * Y1 * Y3^-1 * Y2 * Y1^-1 * Y2, Y1 * Y2 * Y3^-1 * Y2^3 * Y3^-1 * Y2, Y2^-1 * Y3 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y3^-2, Y3 * Y2 * Y1 * Y2 * Y1^-2 * Y2^-1 * Y1^-1, Y2 * Y1 * Y2 * Y3 * Y1^-1 * Y2^-1 * Y1^-2, Y3 * Y2^-1 * Y3^2 * Y2 * Y3^-1 * Y2 * Y1^-1, Y1^9, (Y3^-1 * Y1^2)^3 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 18, 90, 48, 120, 68, 140, 38, 110, 13, 85, 4, 76)(3, 75, 9, 81, 27, 99, 49, 121, 67, 139, 55, 127, 47, 119, 33, 105, 11, 83)(5, 77, 15, 87, 43, 115, 30, 102, 63, 135, 56, 128, 69, 141, 45, 117, 16, 88)(7, 79, 21, 93, 54, 126, 66, 138, 34, 106, 65, 137, 37, 109, 58, 130, 23, 95)(8, 80, 24, 96, 60, 132, 57, 129, 46, 118, 70, 142, 39, 111, 32, 104, 25, 97)(10, 82, 22, 94, 51, 123, 72, 144, 71, 143, 42, 114, 17, 89, 26, 98, 31, 103)(12, 84, 35, 107, 44, 116, 19, 91, 50, 122, 28, 100, 62, 134, 59, 131, 36, 108)(14, 86, 40, 112, 53, 125, 20, 92, 52, 124, 29, 101, 64, 136, 61, 133, 41, 113)(145, 217, 147, 219, 154, 226, 174, 246, 162, 234, 193, 265, 216, 288, 213, 285, 182, 254, 191, 263, 161, 233, 149, 221)(146, 218, 151, 223, 166, 238, 201, 273, 192, 264, 210, 282, 215, 287, 183, 255, 157, 229, 181, 253, 170, 242, 152, 224)(148, 220, 156, 228, 175, 247, 164, 236, 150, 222, 163, 235, 195, 267, 208, 280, 212, 284, 206, 278, 186, 258, 158, 230)(153, 225, 172, 244, 207, 279, 185, 257, 211, 283, 180, 252, 189, 261, 197, 269, 177, 249, 188, 260, 159, 231, 173, 245)(155, 227, 176, 248, 187, 259, 202, 274, 171, 243, 168, 240, 200, 272, 165, 237, 199, 271, 190, 262, 160, 232, 178, 250)(167, 239, 184, 256, 204, 276, 179, 251, 198, 270, 196, 268, 214, 286, 194, 266, 209, 281, 205, 277, 169, 241, 203, 275)
	L = (1, 148)(2, 145)(3, 155)(4, 157)(5, 160)(6, 146)(7, 167)(8, 169)(9, 147)(10, 175)(11, 177)(12, 180)(13, 182)(14, 185)(15, 149)(16, 189)(17, 186)(18, 150)(19, 188)(20, 197)(21, 151)(22, 154)(23, 202)(24, 152)(25, 176)(26, 161)(27, 153)(28, 194)(29, 196)(30, 187)(31, 170)(32, 183)(33, 191)(34, 210)(35, 156)(36, 203)(37, 209)(38, 212)(39, 214)(40, 158)(41, 205)(42, 215)(43, 159)(44, 179)(45, 213)(46, 201)(47, 199)(48, 162)(49, 171)(50, 163)(51, 166)(52, 164)(53, 184)(54, 165)(55, 211)(56, 207)(57, 204)(58, 181)(59, 206)(60, 168)(61, 208)(62, 172)(63, 174)(64, 173)(65, 178)(66, 198)(67, 193)(68, 192)(69, 200)(70, 190)(71, 216)(72, 195)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36 ), ( 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.1922
Graph:: bipartite
	v = 14 e = 144 f = 76
	degree seq :: [ 18^8, 24^6 ]

E28.1917 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 12, 18})
Quotient :: dipole
Aut^+ = Q8 : C9 (small group id <72, 3>)
Aut   = (Q8 : C9) : C2 (small group id <144, 32>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y3 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^2 * Y3^-1 * Y2^-2 * Y3, Y2^-2 * Y1^-1 * Y2^2 * Y1, Y2 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y3 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, (R * Y2^-2)^2, Y3 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y3 * Y2^-2 * Y1^-2 * Y2^-1, Y1^9, (Y1^-2 * Y3)^3, Y1^-1 * Y2 * Y3^3 * Y2^3 * Y1^-2, (Y2^-1 * Y1)^9 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 18, 90, 44, 116, 65, 137, 36, 108, 13, 85, 4, 76)(3, 75, 9, 81, 27, 99, 43, 115, 67, 139, 72, 144, 61, 133, 33, 105, 11, 83)(5, 77, 15, 87, 40, 112, 45, 117, 69, 141, 57, 129, 30, 102, 42, 114, 16, 88)(7, 79, 21, 93, 50, 122, 53, 125, 54, 126, 63, 135, 35, 107, 51, 123, 23, 95)(8, 80, 24, 96, 52, 124, 68, 140, 66, 138, 64, 136, 37, 109, 32, 104, 25, 97)(10, 82, 22, 94, 39, 111, 17, 89, 26, 98, 49, 121, 70, 142, 59, 131, 31, 103)(12, 84, 34, 106, 41, 113, 19, 91, 46, 118, 60, 132, 71, 143, 55, 127, 28, 100)(14, 86, 38, 110, 48, 120, 20, 92, 47, 119, 62, 134, 58, 130, 56, 128, 29, 101)(145, 217, 147, 219, 154, 226, 174, 246, 180, 252, 205, 277, 214, 286, 189, 261, 162, 234, 187, 259, 161, 233, 149, 221)(146, 218, 151, 223, 166, 238, 181, 253, 157, 229, 179, 251, 203, 275, 212, 284, 188, 260, 197, 269, 170, 242, 152, 224)(148, 220, 156, 228, 175, 247, 202, 274, 209, 281, 215, 287, 193, 265, 164, 236, 150, 222, 163, 235, 183, 255, 158, 230)(153, 225, 172, 244, 186, 258, 206, 278, 177, 249, 204, 276, 213, 285, 192, 264, 211, 283, 185, 257, 159, 231, 173, 245)(155, 227, 176, 248, 201, 273, 195, 267, 216, 288, 210, 282, 184, 256, 198, 270, 171, 243, 168, 240, 160, 232, 165, 237)(167, 239, 182, 254, 208, 280, 178, 250, 207, 279, 200, 272, 196, 268, 199, 271, 194, 266, 191, 263, 169, 241, 190, 262)
	L = (1, 148)(2, 145)(3, 155)(4, 157)(5, 160)(6, 146)(7, 167)(8, 169)(9, 147)(10, 175)(11, 177)(12, 172)(13, 180)(14, 173)(15, 149)(16, 186)(17, 183)(18, 150)(19, 185)(20, 192)(21, 151)(22, 154)(23, 195)(24, 152)(25, 176)(26, 161)(27, 153)(28, 199)(29, 200)(30, 201)(31, 203)(32, 181)(33, 205)(34, 156)(35, 207)(36, 209)(37, 208)(38, 158)(39, 166)(40, 159)(41, 178)(42, 174)(43, 171)(44, 162)(45, 184)(46, 163)(47, 164)(48, 182)(49, 170)(50, 165)(51, 179)(52, 168)(53, 194)(54, 197)(55, 215)(56, 202)(57, 213)(58, 206)(59, 214)(60, 190)(61, 216)(62, 191)(63, 198)(64, 210)(65, 188)(66, 212)(67, 187)(68, 196)(69, 189)(70, 193)(71, 204)(72, 211)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36 ), ( 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.1923
Graph:: bipartite
	v = 14 e = 144 f = 76
	degree seq :: [ 18^8, 24^6 ]

E28.1918 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 12, 18})
Quotient :: dipole
Aut^+ = Q8 : C9 (small group id <72, 3>)
Aut   = (Q8 : C9) : C2 (small group id <144, 32>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y2^-2 * Y1^-2 * Y2^-1, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1, Y1^12, (Y3^-1 * Y1^-1)^9 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 18, 90, 36, 108, 56, 128, 70, 142, 68, 140, 52, 124, 31, 103, 13, 85, 4, 76)(3, 75, 9, 81, 17, 89, 35, 107, 39, 111, 59, 131, 71, 143, 67, 139, 65, 137, 48, 120, 27, 99, 11, 83)(5, 77, 15, 87, 19, 91, 38, 110, 57, 129, 60, 132, 72, 144, 63, 135, 46, 118, 26, 98, 10, 82, 16, 88)(7, 79, 20, 92, 24, 96, 43, 115, 58, 130, 61, 133, 64, 136, 47, 119, 51, 123, 30, 102, 12, 84, 21, 93)(8, 80, 22, 94, 37, 109, 45, 117, 62, 134, 69, 141, 66, 138, 50, 122, 29, 101, 32, 104, 14, 86, 23, 95)(25, 97, 34, 106, 55, 127, 33, 105, 54, 126, 41, 113, 53, 125, 40, 112, 42, 114, 49, 121, 28, 100, 44, 116)(145, 217, 147, 219, 154, 226, 157, 229, 171, 243, 190, 262, 196, 268, 209, 281, 216, 288, 214, 286, 215, 287, 201, 273, 180, 252, 183, 255, 163, 235, 150, 222, 161, 233, 149, 221)(146, 218, 151, 223, 158, 230, 148, 220, 156, 228, 173, 245, 175, 247, 195, 267, 210, 282, 212, 284, 208, 280, 206, 278, 200, 272, 202, 274, 181, 253, 162, 234, 168, 240, 152, 224)(153, 225, 166, 238, 172, 244, 155, 227, 167, 239, 186, 258, 192, 264, 176, 248, 197, 269, 211, 283, 194, 266, 198, 270, 203, 275, 213, 285, 199, 271, 179, 251, 189, 261, 169, 241)(159, 231, 177, 249, 174, 246, 160, 232, 178, 250, 191, 263, 170, 242, 188, 260, 205, 277, 207, 279, 193, 265, 187, 259, 204, 276, 184, 256, 164, 236, 182, 254, 185, 257, 165, 237)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 161)(7, 158)(8, 146)(9, 166)(10, 157)(11, 167)(12, 173)(13, 171)(14, 148)(15, 177)(16, 178)(17, 149)(18, 168)(19, 150)(20, 182)(21, 159)(22, 172)(23, 186)(24, 152)(25, 153)(26, 188)(27, 190)(28, 155)(29, 175)(30, 160)(31, 195)(32, 197)(33, 174)(34, 191)(35, 189)(36, 183)(37, 162)(38, 185)(39, 163)(40, 164)(41, 165)(42, 192)(43, 204)(44, 205)(45, 169)(46, 196)(47, 170)(48, 176)(49, 187)(50, 198)(51, 210)(52, 209)(53, 211)(54, 203)(55, 179)(56, 202)(57, 180)(58, 181)(59, 213)(60, 184)(61, 207)(62, 200)(63, 193)(64, 206)(65, 216)(66, 212)(67, 194)(68, 208)(69, 199)(70, 215)(71, 201)(72, 214)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ), ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.1921
Graph:: bipartite
	v = 10 e = 144 f = 80
	degree seq :: [ 24^6, 36^4 ]

E28.1919 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 12, 18})
Quotient :: dipole
Aut^+ = Q8 : C9 (small group id <72, 3>)
Aut   = (Q8 : C9) : C2 (small group id <144, 32>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1 * Y2^-3 * Y1, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1, Y2 * Y1^-1 * Y2^-2 * Y1^-1 * Y2 * Y1^-1, Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-2 * Y2^-1 * Y1^-1 * Y2, Y1^-4 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y3^-1 * Y1^-1)^9 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 18, 90, 40, 112, 64, 136, 72, 144, 71, 143, 55, 127, 31, 103, 13, 85, 4, 76)(3, 75, 9, 81, 19, 91, 42, 114, 65, 137, 60, 132, 70, 142, 49, 121, 58, 130, 39, 111, 17, 89, 11, 83)(5, 77, 15, 87, 10, 82, 27, 99, 43, 115, 46, 118, 69, 141, 44, 116, 68, 140, 57, 129, 32, 104, 16, 88)(7, 79, 20, 92, 41, 113, 66, 138, 63, 135, 38, 110, 62, 134, 36, 108, 34, 106, 30, 102, 12, 84, 22, 94)(8, 80, 23, 95, 21, 93, 28, 100, 52, 124, 25, 97, 50, 122, 67, 139, 56, 128, 33, 105, 14, 86, 24, 96)(26, 98, 37, 109, 51, 123, 35, 107, 61, 133, 47, 119, 59, 131, 45, 117, 48, 120, 54, 126, 29, 101, 53, 125)(145, 217, 147, 219, 154, 226, 150, 222, 163, 235, 187, 259, 184, 256, 209, 281, 213, 285, 216, 288, 214, 286, 212, 284, 199, 271, 202, 274, 176, 248, 157, 229, 161, 233, 149, 221)(146, 218, 151, 223, 165, 237, 162, 234, 185, 257, 196, 268, 208, 280, 207, 279, 194, 266, 215, 287, 206, 278, 200, 272, 175, 247, 178, 250, 158, 230, 148, 220, 156, 228, 152, 224)(153, 225, 169, 241, 195, 267, 186, 258, 211, 283, 205, 277, 204, 276, 177, 249, 203, 275, 193, 265, 168, 240, 192, 264, 183, 255, 167, 239, 173, 245, 155, 227, 172, 244, 170, 242)(159, 231, 179, 251, 174, 246, 171, 243, 191, 263, 166, 238, 190, 262, 189, 261, 164, 236, 188, 260, 198, 270, 210, 282, 201, 273, 197, 269, 182, 254, 160, 232, 181, 253, 180, 252)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 163)(7, 165)(8, 146)(9, 169)(10, 150)(11, 172)(12, 152)(13, 161)(14, 148)(15, 179)(16, 181)(17, 149)(18, 185)(19, 187)(20, 188)(21, 162)(22, 190)(23, 173)(24, 192)(25, 195)(26, 153)(27, 191)(28, 170)(29, 155)(30, 171)(31, 178)(32, 157)(33, 203)(34, 158)(35, 174)(36, 159)(37, 180)(38, 160)(39, 167)(40, 209)(41, 196)(42, 211)(43, 184)(44, 198)(45, 164)(46, 189)(47, 166)(48, 183)(49, 168)(50, 215)(51, 186)(52, 208)(53, 182)(54, 210)(55, 202)(56, 175)(57, 197)(58, 176)(59, 193)(60, 177)(61, 204)(62, 200)(63, 194)(64, 207)(65, 213)(66, 201)(67, 205)(68, 199)(69, 216)(70, 212)(71, 206)(72, 214)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ), ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.1920
Graph:: bipartite
	v = 10 e = 144 f = 80
	degree seq :: [ 24^6, 36^4 ]

E28.1920 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 12, 18})
Quotient :: dipole
Aut^+ = Q8 : C9 (small group id <72, 3>)
Aut   = (Q8 : C9) : C2 (small group id <144, 32>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^2 * R * Y2^-2 * Y3 * R, Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-2, Y2 * Y3^-1 * Y2 * Y3^-4, Y2^2 * Y3 * Y2^2 * Y3^-2, Y2 * Y3^2 * Y2^-1 * Y3^-1 * Y2 * Y3, Y3^-1 * Y2 * Y3^2 * Y2^4, Y3 * Y2^3 * Y3^-1 * Y2^-3, Y2^-3 * Y3 * Y2^-1 * Y3^-2 * Y2^-1, (Y3^-1 * Y1^-1)^18 ]
Map::
	R = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)(145, 217, 146, 218, 150, 222, 162, 234, 198, 270, 214, 286, 184, 256, 157, 229, 148, 220)(147, 219, 153, 225, 171, 243, 199, 271, 192, 264, 166, 238, 205, 277, 178, 250, 155, 227)(149, 221, 159, 231, 189, 261, 200, 272, 188, 260, 173, 245, 210, 282, 193, 265, 160, 232)(151, 223, 165, 237, 181, 253, 179, 251, 194, 266, 201, 273, 183, 255, 208, 280, 167, 239)(152, 224, 168, 240, 209, 281, 196, 268, 161, 233, 195, 267, 185, 257, 211, 283, 169, 241)(154, 226, 174, 246, 212, 284, 182, 254, 156, 228, 180, 252, 202, 274, 163, 235, 176, 248)(158, 230, 186, 258, 204, 276, 164, 236, 203, 275, 172, 244, 190, 262, 170, 242, 187, 259)(175, 247, 206, 278, 215, 287, 197, 269, 177, 249, 207, 279, 216, 288, 213, 285, 191, 263)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 163)(7, 166)(8, 146)(9, 172)(10, 175)(11, 177)(12, 181)(13, 183)(14, 148)(15, 190)(16, 192)(17, 149)(18, 199)(19, 201)(20, 150)(21, 173)(22, 206)(23, 207)(24, 210)(25, 194)(26, 152)(27, 213)(28, 180)(29, 153)(30, 167)(31, 168)(32, 195)(33, 170)(34, 204)(35, 155)(36, 209)(37, 191)(38, 197)(39, 171)(40, 205)(41, 157)(42, 196)(43, 176)(44, 158)(45, 178)(46, 214)(47, 159)(48, 187)(49, 164)(50, 160)(51, 165)(52, 198)(53, 161)(54, 179)(55, 182)(56, 162)(57, 215)(58, 216)(59, 185)(60, 212)(61, 202)(62, 203)(63, 193)(64, 189)(65, 208)(66, 184)(67, 200)(68, 169)(69, 186)(70, 174)(71, 188)(72, 211)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 24, 36 ), ( 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.1919
Graph:: simple bipartite
	v = 80 e = 144 f = 10
	degree seq :: [ 2^72, 18^8 ]

E28.1921 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 12, 18})
Quotient :: dipole
Aut^+ = Q8 : C9 (small group id <72, 3>)
Aut   = (Q8 : C9) : C2 (small group id <144, 32>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, R * Y2 * Y3 * R * Y2^-1, Y3 * Y2 * Y3^-1 * Y2 * Y3, Y3^2 * Y2^-1 * Y3 * Y2 * Y3 * Y2^-1, Y2 * Y3^-1 * Y2^-3 * Y3 * Y2^2, Y3 * Y2 * Y3 * Y2^4 * Y3 * Y2, Y2^9, Y3^18, (Y3^-1 * Y1^-1)^18 ]
Map::
	R = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)(145, 217, 146, 218, 150, 222, 162, 234, 188, 260, 206, 278, 178, 250, 157, 229, 148, 220)(147, 219, 153, 225, 169, 241, 189, 261, 210, 282, 205, 277, 204, 276, 174, 246, 155, 227)(149, 221, 159, 231, 182, 254, 190, 262, 194, 266, 196, 268, 207, 279, 184, 256, 160, 232)(151, 223, 165, 237, 195, 267, 200, 272, 185, 257, 176, 248, 177, 249, 197, 269, 166, 238)(152, 224, 161, 233, 186, 258, 211, 283, 212, 284, 208, 280, 179, 251, 198, 270, 167, 239)(154, 226, 156, 228, 175, 247, 192, 264, 163, 235, 191, 263, 213, 285, 203, 275, 172, 244)(158, 230, 180, 252, 193, 265, 164, 236, 168, 240, 170, 242, 201, 273, 209, 281, 181, 253)(171, 243, 173, 245, 183, 255, 187, 259, 199, 271, 214, 286, 216, 288, 215, 287, 202, 274)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 163)(7, 155)(8, 146)(9, 170)(10, 171)(11, 173)(12, 176)(13, 177)(14, 148)(15, 158)(16, 153)(17, 149)(18, 189)(19, 166)(20, 150)(21, 196)(22, 183)(23, 165)(24, 152)(25, 199)(26, 172)(27, 198)(28, 167)(29, 180)(30, 193)(31, 186)(32, 202)(33, 205)(34, 204)(35, 157)(36, 179)(37, 175)(38, 210)(39, 159)(40, 201)(41, 160)(42, 185)(43, 161)(44, 200)(45, 192)(46, 162)(47, 208)(48, 187)(49, 191)(50, 164)(51, 214)(52, 174)(53, 182)(54, 207)(55, 168)(56, 169)(57, 206)(58, 184)(59, 195)(60, 213)(61, 215)(62, 203)(63, 178)(64, 197)(65, 211)(66, 181)(67, 188)(68, 190)(69, 216)(70, 194)(71, 209)(72, 212)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 24, 36 ), ( 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36, 24, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.1918
Graph:: simple bipartite
	v = 80 e = 144 f = 10
	degree seq :: [ 2^72, 18^8 ]

E28.1922 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 12, 18})
Quotient :: dipole
Aut^+ = Q8 : C9 (small group id <72, 3>)
Aut   = (Q8 : C9) : C2 (small group id <144, 32>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^2 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3, Y1 * Y3 * Y1 * Y3 * Y1^3, Y1 * Y3^2 * Y1^-1 * Y3^2 * Y1, Y1^2 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1, Y3^-1 * Y1^2 * Y3^-1 * Y1^-1 * Y3^-3, Y1^-1 * Y3 * Y1 * Y3^4 * Y1^-1, (Y3 * Y2^-1)^9 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 18, 90, 50, 122, 62, 134, 31, 103, 59, 131, 66, 138, 72, 144, 69, 141, 70, 142, 53, 125, 64, 136, 28, 100, 40, 112, 13, 85, 4, 76)(3, 75, 9, 81, 27, 99, 43, 115, 14, 86, 42, 114, 55, 127, 20, 92, 46, 118, 57, 129, 37, 109, 52, 124, 17, 89, 51, 123, 67, 139, 71, 143, 34, 106, 11, 83)(5, 77, 15, 87, 45, 117, 54, 126, 61, 133, 32, 104, 10, 82, 30, 102, 26, 98, 63, 135, 35, 107, 39, 111, 60, 132, 23, 95, 7, 79, 21, 93, 49, 121, 16, 88)(8, 80, 24, 96, 29, 101, 65, 137, 68, 140, 44, 116, 22, 94, 58, 130, 56, 128, 48, 120, 38, 110, 12, 84, 36, 108, 33, 105, 19, 91, 41, 113, 47, 119, 25, 97)(145, 217)(146, 218)(147, 219)(148, 220)(149, 221)(150, 222)(151, 223)(152, 224)(153, 225)(154, 226)(155, 227)(156, 228)(157, 229)(158, 230)(159, 231)(160, 232)(161, 233)(162, 234)(163, 235)(164, 236)(165, 237)(166, 238)(167, 239)(168, 240)(169, 241)(170, 242)(171, 243)(172, 244)(173, 245)(174, 246)(175, 247)(176, 248)(177, 249)(178, 250)(179, 251)(180, 252)(181, 253)(182, 254)(183, 255)(184, 256)(185, 257)(186, 258)(187, 259)(188, 260)(189, 261)(190, 262)(191, 263)(192, 264)(193, 265)(194, 266)(195, 267)(196, 268)(197, 269)(198, 270)(199, 271)(200, 272)(201, 273)(202, 274)(203, 275)(204, 276)(205, 277)(206, 278)(207, 279)(208, 280)(209, 281)(210, 282)(211, 283)(212, 284)(213, 285)(214, 286)(215, 287)(216, 288)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 163)(7, 166)(8, 146)(9, 172)(10, 175)(11, 177)(12, 181)(13, 183)(14, 148)(15, 190)(16, 192)(17, 149)(18, 187)(19, 195)(20, 150)(21, 184)(22, 203)(23, 171)(24, 205)(25, 178)(26, 152)(27, 191)(28, 200)(29, 153)(30, 211)(31, 199)(32, 185)(33, 193)(34, 214)(35, 155)(36, 208)(37, 206)(38, 167)(39, 209)(40, 215)(41, 157)(42, 168)(43, 207)(44, 158)(45, 180)(46, 212)(47, 159)(48, 213)(49, 186)(50, 160)(51, 210)(52, 202)(53, 161)(54, 162)(55, 204)(56, 164)(57, 165)(58, 179)(59, 189)(60, 197)(61, 196)(62, 169)(63, 216)(64, 170)(65, 194)(66, 173)(67, 182)(68, 174)(69, 176)(70, 188)(71, 198)(72, 201)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 18, 24 ), ( 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1916
Graph:: simple bipartite
	v = 76 e = 144 f = 14
	degree seq :: [ 2^72, 36^4 ]

E28.1923 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 12, 18})
Quotient :: dipole
Aut^+ = Q8 : C9 (small group id <72, 3>)
Aut   = (Q8 : C9) : C2 (small group id <144, 32>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y3 * Y1^-2 * Y3, (R * Y2 * Y3^-1)^2, Y1^-2 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3^-1, Y1 * Y3^-3 * Y1^-1 * Y3^3, Y3^-3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1, Y1^18, (Y3 * Y2^-1)^9 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 18, 90, 44, 116, 58, 130, 27, 99, 48, 120, 69, 141, 72, 144, 71, 143, 63, 135, 43, 115, 53, 125, 54, 126, 33, 105, 13, 85, 4, 76)(3, 75, 9, 81, 24, 96, 45, 117, 31, 103, 50, 122, 57, 129, 46, 118, 64, 136, 70, 142, 66, 138, 42, 114, 17, 89, 41, 113, 37, 109, 35, 107, 14, 86, 11, 83)(5, 77, 15, 87, 7, 79, 20, 92, 30, 102, 28, 100, 10, 82, 26, 98, 55, 127, 68, 140, 60, 132, 62, 134, 67, 139, 52, 124, 23, 95, 51, 123, 40, 112, 16, 88)(8, 80, 22, 94, 19, 91, 39, 111, 38, 110, 49, 121, 21, 93, 47, 119, 65, 137, 59, 131, 56, 128, 36, 108, 61, 133, 29, 101, 25, 97, 34, 106, 32, 104, 12, 84)(145, 217)(146, 218)(147, 219)(148, 220)(149, 221)(150, 222)(151, 223)(152, 224)(153, 225)(154, 226)(155, 227)(156, 228)(157, 229)(158, 230)(159, 231)(160, 232)(161, 233)(162, 234)(163, 235)(164, 236)(165, 237)(166, 238)(167, 239)(168, 240)(169, 241)(170, 242)(171, 243)(172, 244)(173, 245)(174, 246)(175, 247)(176, 248)(177, 249)(178, 250)(179, 251)(180, 252)(181, 253)(182, 254)(183, 255)(184, 256)(185, 257)(186, 258)(187, 259)(188, 260)(189, 261)(190, 262)(191, 263)(192, 264)(193, 265)(194, 266)(195, 267)(196, 268)(197, 269)(198, 270)(199, 271)(200, 272)(201, 273)(202, 274)(203, 275)(204, 276)(205, 277)(206, 278)(207, 279)(208, 280)(209, 281)(210, 282)(211, 283)(212, 284)(213, 285)(214, 286)(215, 287)(216, 288)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 163)(7, 165)(8, 146)(9, 150)(10, 171)(11, 173)(12, 175)(13, 160)(14, 148)(15, 181)(16, 183)(17, 149)(18, 189)(19, 190)(20, 162)(21, 192)(22, 184)(23, 152)(24, 176)(25, 153)(26, 168)(27, 201)(28, 203)(29, 204)(30, 155)(31, 202)(32, 196)(33, 179)(34, 157)(35, 164)(36, 158)(37, 200)(38, 159)(39, 188)(40, 186)(41, 198)(42, 191)(43, 161)(44, 172)(45, 212)(46, 213)(47, 174)(48, 199)(49, 210)(50, 166)(51, 177)(52, 208)(53, 167)(54, 169)(55, 205)(56, 170)(57, 211)(58, 193)(59, 215)(60, 194)(61, 197)(62, 178)(63, 180)(64, 182)(65, 185)(66, 207)(67, 187)(68, 216)(69, 209)(70, 195)(71, 206)(72, 214)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 18, 24 ), ( 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24, 18, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1917
Graph:: simple bipartite
	v = 76 e = 144 f = 14
	degree seq :: [ 2^72, 36^4 ]

E28.1924 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 12, 18})
Quotient :: dipole
Aut^+ = Q8 : C9 (small group id <72, 3>)
Aut   = (Q8 : C9) : C2 (small group id <144, 32>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2 * Y1 * Y2^4, Y1 * Y2^-2 * Y3 * Y2 * Y3^-1 * Y2^-1, Y1 * Y2^2 * Y3 * Y2 * Y1^-1 * Y2^-1, Y1^2 * Y2^-1 * Y1 * Y3^-1 * Y2^2, Y1^2 * Y2^2 * Y3^-2 * Y2^-1, R * Y2^-2 * R * Y2^-1 * Y3 * Y2, Y1 * Y2 * Y3 * Y2^-2 * Y3^-1 * Y2^-1, Y2 * Y1 * Y2^-1 * Y3 * Y2 * Y1^-1 * Y2, Y1 * Y2^2 * Y1 * Y3^-1 * Y2^-1 * Y3^-1, Y3 * Y2^-1 * Y1^2 * Y3^-1 * Y2 * Y1^-2, Y3^2 * Y2^-1 * Y3^-1 * Y1^2 * Y2 * Y1^-1, Y3 * Y2^-1 * Y3^2 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y1 * Y3^-2 * Y2^-1 * Y1^-3, Y3^2 * Y2^2 * Y1^-1 * Y2^-1 * Y1^-2, Y3^3 * Y2^-1 * Y1^-1 * Y2^2 * Y1^-1, Y1^9, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 18, 90, 54, 126, 70, 142, 40, 112, 13, 85, 4, 76)(3, 75, 9, 81, 27, 99, 55, 127, 37, 109, 46, 118, 62, 134, 34, 106, 11, 83)(5, 77, 15, 87, 45, 117, 56, 128, 35, 107, 26, 98, 67, 139, 49, 121, 16, 88)(7, 79, 21, 93, 61, 133, 32, 104, 10, 82, 30, 102, 39, 111, 64, 136, 23, 95)(8, 80, 24, 96, 44, 116, 48, 120, 33, 105, 60, 132, 41, 113, 65, 137, 25, 97)(12, 84, 36, 108, 58, 130, 19, 91, 57, 129, 47, 119, 29, 101, 22, 94, 38, 110)(14, 86, 42, 114, 59, 131, 20, 92, 52, 124, 17, 89, 51, 123, 63, 135, 43, 115)(28, 100, 53, 125, 68, 140, 71, 143, 31, 103, 50, 122, 66, 138, 72, 144, 69, 141)(145, 217, 147, 219, 154, 226, 175, 247, 187, 259, 200, 272, 162, 234, 199, 271, 208, 280, 216, 288, 203, 275, 211, 283, 184, 256, 206, 278, 165, 237, 197, 269, 161, 233, 149, 221)(146, 218, 151, 223, 166, 238, 194, 266, 160, 232, 192, 264, 198, 270, 176, 248, 180, 252, 213, 285, 189, 261, 185, 257, 157, 229, 183, 255, 201, 273, 212, 284, 170, 242, 152, 224)(148, 220, 156, 228, 181, 253, 215, 287, 204, 276, 164, 236, 150, 222, 163, 235, 178, 250, 210, 282, 169, 241, 195, 267, 214, 286, 173, 245, 153, 225, 172, 244, 188, 260, 158, 230)(155, 227, 177, 249, 167, 239, 207, 279, 202, 274, 193, 265, 171, 243, 209, 281, 205, 277, 186, 258, 191, 263, 159, 231, 190, 262, 168, 240, 174, 246, 196, 268, 182, 254, 179, 251)
	L = (1, 148)(2, 145)(3, 155)(4, 157)(5, 160)(6, 146)(7, 167)(8, 169)(9, 147)(10, 176)(11, 178)(12, 182)(13, 184)(14, 187)(15, 149)(16, 193)(17, 196)(18, 150)(19, 202)(20, 203)(21, 151)(22, 173)(23, 208)(24, 152)(25, 209)(26, 179)(27, 153)(28, 213)(29, 191)(30, 154)(31, 215)(32, 205)(33, 192)(34, 206)(35, 200)(36, 156)(37, 199)(38, 166)(39, 174)(40, 214)(41, 204)(42, 158)(43, 207)(44, 168)(45, 159)(46, 181)(47, 201)(48, 188)(49, 211)(50, 175)(51, 161)(52, 164)(53, 172)(54, 162)(55, 171)(56, 189)(57, 163)(58, 180)(59, 186)(60, 177)(61, 165)(62, 190)(63, 195)(64, 183)(65, 185)(66, 194)(67, 170)(68, 197)(69, 216)(70, 198)(71, 212)(72, 210)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1927
Graph:: bipartite
	v = 12 e = 144 f = 78
	degree seq :: [ 18^8, 36^4 ]

E28.1925 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 12, 18})
Quotient :: dipole
Aut^+ = Q8 : C9 (small group id <72, 3>)
Aut   = (Q8 : C9) : C2 (small group id <144, 32>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y1)^2, (R * Y3)^2, Y1 * Y2^-2 * Y3^-1 * Y2, Y2 * Y3 * Y2^-1 * Y1^-1 * Y2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-2 * Y1^-1, Y1 * Y2 * Y3 * Y2 * Y3^-1 * Y2^2, Y1^2 * Y2^-1 * Y3 * Y1^-2 * Y2 * Y3^-1, Y1^3 * Y2 * Y3 * Y1^-2 * Y2^-1, Y3^2 * Y2 * Y1 * Y3^-2 * Y2^-1 * Y1^-1, Y3^2 * Y2^-1 * Y3^-3 * Y2 * Y3, Y3^2 * Y2^-1 * Y1 * Y3^-2 * Y2 * Y1^-1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y3^-2, Y1^9, Y2^18, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 18, 90, 44, 116, 64, 136, 34, 106, 13, 85, 4, 76)(3, 75, 9, 81, 25, 97, 45, 117, 47, 119, 54, 126, 60, 132, 30, 102, 11, 83)(5, 77, 15, 87, 38, 110, 46, 118, 56, 128, 66, 138, 65, 137, 40, 112, 16, 88)(7, 79, 10, 82, 27, 99, 57, 129, 68, 140, 63, 135, 33, 105, 52, 124, 22, 94)(8, 80, 23, 95, 53, 125, 58, 130, 29, 101, 37, 109, 35, 107, 55, 127, 24, 96)(12, 84, 31, 103, 48, 120, 19, 91, 21, 93, 39, 111, 61, 133, 62, 134, 32, 104)(14, 86, 36, 108, 50, 122, 20, 92, 49, 121, 70, 142, 67, 139, 42, 114, 17, 89)(26, 98, 28, 100, 51, 123, 69, 141, 72, 144, 71, 143, 59, 131, 43, 115, 41, 113)(145, 217, 147, 219, 154, 226, 172, 244, 194, 266, 190, 262, 162, 234, 189, 261, 212, 284, 216, 288, 214, 286, 209, 281, 178, 250, 204, 276, 196, 268, 187, 259, 161, 233, 149, 221)(146, 218, 151, 223, 165, 237, 195, 267, 182, 254, 202, 274, 188, 260, 201, 273, 206, 278, 215, 287, 210, 282, 179, 251, 157, 229, 177, 249, 175, 247, 185, 257, 160, 232, 152, 224)(148, 220, 156, 228, 153, 225, 170, 242, 168, 240, 164, 236, 150, 222, 163, 235, 191, 263, 213, 285, 197, 269, 211, 283, 208, 280, 205, 277, 174, 246, 203, 275, 181, 253, 158, 230)(155, 227, 173, 245, 171, 243, 180, 252, 176, 248, 200, 272, 169, 241, 199, 271, 207, 279, 193, 265, 192, 264, 184, 256, 198, 270, 167, 239, 166, 238, 186, 258, 183, 255, 159, 231)
	L = (1, 148)(2, 145)(3, 155)(4, 157)(5, 160)(6, 146)(7, 166)(8, 168)(9, 147)(10, 151)(11, 174)(12, 176)(13, 178)(14, 161)(15, 149)(16, 184)(17, 186)(18, 150)(19, 192)(20, 194)(21, 163)(22, 196)(23, 152)(24, 199)(25, 153)(26, 185)(27, 154)(28, 170)(29, 202)(30, 204)(31, 156)(32, 206)(33, 207)(34, 208)(35, 181)(36, 158)(37, 173)(38, 159)(39, 165)(40, 209)(41, 187)(42, 211)(43, 203)(44, 162)(45, 169)(46, 182)(47, 189)(48, 175)(49, 164)(50, 180)(51, 172)(52, 177)(53, 167)(54, 191)(55, 179)(56, 190)(57, 171)(58, 197)(59, 215)(60, 198)(61, 183)(62, 205)(63, 212)(64, 188)(65, 210)(66, 200)(67, 214)(68, 201)(69, 195)(70, 193)(71, 216)(72, 213)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1926
Graph:: bipartite
	v = 12 e = 144 f = 78
	degree seq :: [ 18^8, 36^4 ]

E28.1926 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 12, 18})
Quotient :: dipole
Aut^+ = Q8 : C9 (small group id <72, 3>)
Aut   = (Q8 : C9) : C2 (small group id <144, 32>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y3^-2 * Y1^-2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1, Y1^12, Y1^-1 * Y3 * Y1^-3 * Y3 * Y1^-3 * Y3 * Y1^-6, (Y3 * Y2^-1)^18 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 18, 90, 36, 108, 56, 128, 70, 142, 68, 140, 52, 124, 31, 103, 13, 85, 4, 76)(3, 75, 9, 81, 17, 89, 35, 107, 39, 111, 59, 131, 71, 143, 67, 139, 65, 137, 48, 120, 27, 99, 11, 83)(5, 77, 15, 87, 19, 91, 38, 110, 57, 129, 60, 132, 72, 144, 63, 135, 46, 118, 26, 98, 10, 82, 16, 88)(7, 79, 20, 92, 24, 96, 43, 115, 58, 130, 61, 133, 64, 136, 47, 119, 51, 123, 30, 102, 12, 84, 21, 93)(8, 80, 22, 94, 37, 109, 45, 117, 62, 134, 69, 141, 66, 138, 50, 122, 29, 101, 32, 104, 14, 86, 23, 95)(25, 97, 34, 106, 55, 127, 33, 105, 54, 126, 41, 113, 53, 125, 40, 112, 42, 114, 49, 121, 28, 100, 44, 116)(145, 217)(146, 218)(147, 219)(148, 220)(149, 221)(150, 222)(151, 223)(152, 224)(153, 225)(154, 226)(155, 227)(156, 228)(157, 229)(158, 230)(159, 231)(160, 232)(161, 233)(162, 234)(163, 235)(164, 236)(165, 237)(166, 238)(167, 239)(168, 240)(169, 241)(170, 242)(171, 243)(172, 244)(173, 245)(174, 246)(175, 247)(176, 248)(177, 249)(178, 250)(179, 251)(180, 252)(181, 253)(182, 254)(183, 255)(184, 256)(185, 257)(186, 258)(187, 259)(188, 260)(189, 261)(190, 262)(191, 263)(192, 264)(193, 265)(194, 266)(195, 267)(196, 268)(197, 269)(198, 270)(199, 271)(200, 272)(201, 273)(202, 274)(203, 275)(204, 276)(205, 277)(206, 278)(207, 279)(208, 280)(209, 281)(210, 282)(211, 283)(212, 284)(213, 285)(214, 286)(215, 287)(216, 288)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 161)(7, 158)(8, 146)(9, 166)(10, 157)(11, 167)(12, 173)(13, 171)(14, 148)(15, 177)(16, 178)(17, 149)(18, 168)(19, 150)(20, 182)(21, 159)(22, 172)(23, 186)(24, 152)(25, 153)(26, 188)(27, 190)(28, 155)(29, 175)(30, 160)(31, 195)(32, 197)(33, 174)(34, 191)(35, 189)(36, 183)(37, 162)(38, 185)(39, 163)(40, 164)(41, 165)(42, 192)(43, 204)(44, 205)(45, 169)(46, 196)(47, 170)(48, 176)(49, 187)(50, 198)(51, 210)(52, 209)(53, 211)(54, 203)(55, 179)(56, 202)(57, 180)(58, 181)(59, 213)(60, 184)(61, 207)(62, 200)(63, 193)(64, 206)(65, 216)(66, 212)(67, 194)(68, 208)(69, 199)(70, 215)(71, 201)(72, 214)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 18, 36 ), ( 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.1925
Graph:: simple bipartite
	v = 78 e = 144 f = 12
	degree seq :: [ 2^72, 24^6 ]

E28.1927 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 12, 18})
Quotient :: dipole
Aut^+ = Q8 : C9 (small group id <72, 3>)
Aut   = (Q8 : C9) : C2 (small group id <144, 32>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y3^-3 * Y1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1 * Y1, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1 * Y1, Y1 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3 * Y1, Y1^-5 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1, (Y3 * Y2^-1)^18 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 18, 90, 40, 112, 64, 136, 72, 144, 71, 143, 55, 127, 31, 103, 13, 85, 4, 76)(3, 75, 9, 81, 19, 91, 42, 114, 65, 137, 60, 132, 70, 142, 49, 121, 58, 130, 39, 111, 17, 89, 11, 83)(5, 77, 15, 87, 10, 82, 27, 99, 43, 115, 46, 118, 69, 141, 44, 116, 68, 140, 57, 129, 32, 104, 16, 88)(7, 79, 20, 92, 41, 113, 66, 138, 63, 135, 38, 110, 62, 134, 36, 108, 34, 106, 30, 102, 12, 84, 22, 94)(8, 80, 23, 95, 21, 93, 28, 100, 52, 124, 25, 97, 50, 122, 67, 139, 56, 128, 33, 105, 14, 86, 24, 96)(26, 98, 37, 109, 51, 123, 35, 107, 61, 133, 47, 119, 59, 131, 45, 117, 48, 120, 54, 126, 29, 101, 53, 125)(145, 217)(146, 218)(147, 219)(148, 220)(149, 221)(150, 222)(151, 223)(152, 224)(153, 225)(154, 226)(155, 227)(156, 228)(157, 229)(158, 230)(159, 231)(160, 232)(161, 233)(162, 234)(163, 235)(164, 236)(165, 237)(166, 238)(167, 239)(168, 240)(169, 241)(170, 242)(171, 243)(172, 244)(173, 245)(174, 246)(175, 247)(176, 248)(177, 249)(178, 250)(179, 251)(180, 252)(181, 253)(182, 254)(183, 255)(184, 256)(185, 257)(186, 258)(187, 259)(188, 260)(189, 261)(190, 262)(191, 263)(192, 264)(193, 265)(194, 266)(195, 267)(196, 268)(197, 269)(198, 270)(199, 271)(200, 272)(201, 273)(202, 274)(203, 275)(204, 276)(205, 277)(206, 278)(207, 279)(208, 280)(209, 281)(210, 282)(211, 283)(212, 284)(213, 285)(214, 286)(215, 287)(216, 288)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 163)(7, 165)(8, 146)(9, 169)(10, 150)(11, 172)(12, 152)(13, 161)(14, 148)(15, 179)(16, 181)(17, 149)(18, 185)(19, 187)(20, 188)(21, 162)(22, 190)(23, 173)(24, 192)(25, 195)(26, 153)(27, 191)(28, 170)(29, 155)(30, 171)(31, 178)(32, 157)(33, 203)(34, 158)(35, 174)(36, 159)(37, 180)(38, 160)(39, 167)(40, 209)(41, 196)(42, 211)(43, 184)(44, 198)(45, 164)(46, 189)(47, 166)(48, 183)(49, 168)(50, 215)(51, 186)(52, 208)(53, 182)(54, 210)(55, 202)(56, 175)(57, 197)(58, 176)(59, 193)(60, 177)(61, 204)(62, 200)(63, 194)(64, 207)(65, 213)(66, 201)(67, 205)(68, 199)(69, 216)(70, 212)(71, 206)(72, 214)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 18, 36 ), ( 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.1924
Graph:: simple bipartite
	v = 78 e = 144 f = 12
	degree seq :: [ 2^72, 24^6 ]

E28.1928 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 12, 24})
Quotient :: edge
Aut^+ = C3 x (C3 : C8) (small group id <72, 12>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^2 * T2^-3, T1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1, T1^8, T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1 * T2 * T1, (T1^-1 * T2^-1)^24 ]
Map:: non-degenerate
	R = (1, 3, 10, 6, 19, 43, 40, 62, 32, 13, 17, 5)(2, 7, 21, 18, 41, 60, 31, 34, 14, 4, 12, 8)(9, 25, 53, 42, 67, 66, 39, 58, 29, 11, 28, 26)(15, 35, 55, 27, 54, 71, 61, 65, 38, 16, 37, 36)(20, 44, 68, 64, 72, 59, 30, 56, 48, 22, 47, 45)(23, 49, 70, 46, 69, 63, 33, 57, 52, 24, 51, 50)(73, 74, 78, 90, 112, 103, 85, 76)(75, 81, 91, 114, 134, 111, 89, 83)(77, 87, 82, 99, 115, 133, 104, 88)(79, 92, 113, 136, 106, 102, 84, 94)(80, 95, 93, 118, 132, 105, 86, 96)(97, 116, 139, 144, 130, 128, 100, 119)(98, 121, 125, 141, 138, 129, 101, 123)(107, 117, 126, 140, 137, 131, 109, 120)(108, 122, 127, 142, 143, 135, 110, 124)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 48^8 ), ( 48^12 ) }
Outer automorphisms :: reflexible
Dual of E28.1937
Transitivity :: ET+
Graph:: bipartite
	v = 15 e = 72 f = 3
	degree seq :: [ 8^9, 12^6 ]

E28.1929 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 12, 24})
Quotient :: edge
Aut^+ = C3 x (C3 : C8) (small group id <72, 12>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^2 * T2^3, T1^-1 * T2 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1, T1^8, T1^-1 * T2 * T1^-1 * T2 * T1 * T2^-1 * T1 * T2^-1, T2 * T1^-1 * T2 * T1^-1 * T2^2 * T1^-1 * T2^2 * T1^-1, (T1^-1 * T2^-1)^24 ]
Map:: non-degenerate
	R = (1, 3, 10, 13, 29, 55, 40, 43, 19, 6, 17, 5)(2, 7, 14, 4, 12, 31, 33, 62, 41, 18, 24, 8)(9, 25, 30, 11, 28, 57, 59, 72, 66, 39, 53, 26)(15, 35, 38, 16, 37, 56, 27, 54, 67, 42, 65, 36)(20, 44, 47, 21, 46, 63, 32, 58, 70, 52, 68, 45)(22, 48, 51, 23, 50, 64, 34, 60, 71, 61, 69, 49)(73, 74, 78, 90, 112, 105, 85, 76)(75, 81, 89, 111, 115, 131, 101, 83)(77, 87, 91, 114, 127, 99, 82, 88)(79, 92, 96, 124, 134, 104, 84, 93)(80, 94, 113, 133, 103, 106, 86, 95)(97, 116, 125, 140, 144, 130, 100, 118)(98, 120, 138, 141, 129, 132, 102, 122)(107, 117, 137, 142, 126, 135, 109, 119)(108, 121, 139, 143, 128, 136, 110, 123)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 48^8 ), ( 48^12 ) }
Outer automorphisms :: reflexible
Dual of E28.1936
Transitivity :: ET+
Graph:: bipartite
	v = 15 e = 72 f = 3
	degree seq :: [ 8^9, 12^6 ]

E28.1930 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 12, 24})
Quotient :: edge
Aut^+ = C3 x (C3 : C8) (small group id <72, 12>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^2 * T2^-1 * T1^-1 * T2^-1, T2^-2 * T1 * T2^-1 * T1 * T2^-1, T2 * T1 * T2^-2 * T1^-1 * T2, T1^12, T1 * T2 * T1 * T2^19 ]
Map:: non-degenerate
	R = (1, 3, 10, 22, 39, 20, 18, 35, 51, 52, 65, 62, 60, 67, 70, 58, 57, 43, 29, 31, 41, 28, 17, 5)(2, 7, 21, 24, 40, 36, 34, 49, 63, 64, 72, 66, 54, 56, 59, 46, 45, 30, 13, 16, 27, 11, 23, 8)(4, 12, 26, 15, 25, 9, 6, 19, 37, 38, 53, 50, 48, 61, 71, 69, 68, 55, 42, 44, 47, 33, 32, 14)(73, 74, 78, 90, 106, 120, 132, 126, 114, 101, 85, 76)(75, 81, 96, 107, 122, 136, 139, 127, 118, 103, 86, 83)(77, 87, 79, 92, 110, 121, 134, 141, 128, 115, 105, 88)(80, 94, 91, 108, 124, 133, 138, 130, 116, 102, 100, 84)(82, 93, 109, 123, 135, 143, 142, 131, 119, 113, 99, 98)(89, 95, 97, 111, 112, 125, 137, 144, 140, 129, 117, 104)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 16^12 ), ( 16^24 ) }
Outer automorphisms :: reflexible
Dual of E28.1939
Transitivity :: ET+
Graph:: bipartite
	v = 9 e = 72 f = 9
	degree seq :: [ 12^6, 24^3 ]

E28.1931 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 12, 24})
Quotient :: edge
Aut^+ = C3 x (C3 : C8) (small group id <72, 12>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^2 * T1^-1 * T2^-2 * T1, T2 * T1^-1 * T2^3 * T1^-1, T1^2 * T2 * T1 * T2 * T1^2, T1^-1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2, (T2^-1 * T1^-1 * T2^-1)^3 ]
Map:: non-degenerate
	R = (1, 3, 10, 24, 50, 21, 36, 61, 72, 54, 71, 51, 70, 48, 69, 46, 68, 44, 18, 39, 63, 34, 17, 5)(2, 7, 22, 47, 66, 37, 13, 35, 60, 38, 59, 33, 58, 41, 57, 27, 56, 64, 43, 16, 32, 11, 26, 8)(4, 12, 30, 15, 29, 9, 28, 53, 67, 42, 62, 31, 55, 25, 52, 23, 49, 20, 6, 19, 45, 65, 40, 14)(73, 74, 78, 90, 115, 127, 142, 130, 100, 108, 85, 76)(75, 81, 99, 111, 86, 110, 120, 92, 119, 133, 103, 83)(77, 87, 113, 116, 137, 107, 123, 95, 79, 93, 114, 88)(80, 96, 125, 136, 106, 84, 105, 118, 91, 109, 126, 97)(82, 94, 117, 135, 104, 124, 141, 129, 139, 144, 132, 102)(89, 98, 121, 140, 128, 134, 143, 131, 101, 122, 138, 112)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 16^12 ), ( 16^24 ) }
Outer automorphisms :: reflexible
Dual of E28.1938
Transitivity :: ET+
Graph:: bipartite
	v = 9 e = 72 f = 9
	degree seq :: [ 12^6, 24^3 ]

E28.1932 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 12, 24})
Quotient :: edge
Aut^+ = C3 x (C3 : C8) (small group id <72, 12>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-2 * T1^-1 * T2^2 * T1, T2^-1 * T1^-2 * T2 * T1^2, (T2^-1 * T1)^3, T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1, T2^-1 * T1^-2 * T2^-1 * T1^-4, T2^8 ]
Map:: non-degenerate
	R = (1, 3, 10, 29, 57, 39, 17, 5)(2, 7, 22, 49, 68, 52, 26, 8)(4, 12, 30, 55, 69, 53, 37, 14)(6, 19, 44, 65, 72, 66, 46, 20)(9, 27, 54, 36, 60, 33, 15, 28)(11, 24, 48, 21, 47, 38, 16, 32)(13, 31, 58, 67, 71, 61, 40, 35)(18, 41, 34, 59, 70, 56, 62, 42)(23, 45, 64, 43, 63, 51, 25, 50)(73, 74, 78, 90, 112, 109, 89, 98, 118, 134, 143, 141, 129, 140, 144, 142, 130, 102, 82, 94, 116, 106, 85, 76)(75, 81, 91, 115, 107, 88, 77, 87, 92, 117, 133, 119, 111, 132, 138, 122, 139, 120, 101, 126, 137, 123, 103, 83)(79, 93, 113, 108, 86, 97, 80, 96, 114, 99, 125, 135, 124, 104, 128, 100, 127, 136, 121, 110, 131, 105, 84, 95)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 24^8 ), ( 24^24 ) }
Outer automorphisms :: reflexible
Dual of E28.1934
Transitivity :: ET+
Graph:: bipartite
	v = 12 e = 72 f = 6
	degree seq :: [ 8^9, 24^3 ]

E28.1933 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 12, 24})
Quotient :: edge
Aut^+ = C3 x (C3 : C8) (small group id <72, 12>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2^-1 * T1^-2 * T2 * T1^2, T2^8 ]
Map:: non-degenerate
	R = (1, 3, 10, 29, 51, 37, 17, 5)(2, 7, 22, 45, 62, 48, 26, 8)(4, 12, 30, 53, 67, 55, 35, 14)(6, 19, 42, 59, 71, 61, 44, 20)(9, 27, 49, 65, 56, 36, 15, 28)(11, 31, 52, 64, 47, 24, 16, 21)(13, 32, 54, 68, 69, 57, 38, 34)(18, 39, 33, 50, 66, 70, 58, 40)(23, 46, 63, 72, 60, 43, 25, 41)(73, 74, 78, 90, 110, 107, 89, 98, 116, 130, 141, 139, 123, 134, 143, 138, 126, 102, 82, 94, 114, 105, 85, 76)(75, 81, 91, 113, 106, 88, 77, 87, 92, 115, 129, 119, 109, 128, 133, 144, 140, 124, 101, 121, 131, 118, 104, 83)(79, 93, 111, 100, 86, 97, 80, 96, 112, 108, 127, 132, 120, 136, 142, 137, 125, 135, 117, 103, 122, 99, 84, 95)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 24^8 ), ( 24^24 ) }
Outer automorphisms :: reflexible
Dual of E28.1935
Transitivity :: ET+
Graph:: bipartite
	v = 12 e = 72 f = 6
	degree seq :: [ 8^9, 24^3 ]

E28.1934 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 12, 24})
Quotient :: loop
Aut^+ = C3 x (C3 : C8) (small group id <72, 12>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^2 * T2^-3, T1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1, T1^8, T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1 * T2 * T1, (T1^-1 * T2^-1)^24 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 10, 82, 6, 78, 19, 91, 43, 115, 40, 112, 62, 134, 32, 104, 13, 85, 17, 89, 5, 77)(2, 74, 7, 79, 21, 93, 18, 90, 41, 113, 60, 132, 31, 103, 34, 106, 14, 86, 4, 76, 12, 84, 8, 80)(9, 81, 25, 97, 53, 125, 42, 114, 67, 139, 66, 138, 39, 111, 58, 130, 29, 101, 11, 83, 28, 100, 26, 98)(15, 87, 35, 107, 55, 127, 27, 99, 54, 126, 71, 143, 61, 133, 65, 137, 38, 110, 16, 88, 37, 109, 36, 108)(20, 92, 44, 116, 68, 140, 64, 136, 72, 144, 59, 131, 30, 102, 56, 128, 48, 120, 22, 94, 47, 119, 45, 117)(23, 95, 49, 121, 70, 142, 46, 118, 69, 141, 63, 135, 33, 105, 57, 129, 52, 124, 24, 96, 51, 123, 50, 122)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 87)(6, 90)(7, 92)(8, 95)(9, 91)(10, 99)(11, 75)(12, 94)(13, 76)(14, 96)(15, 82)(16, 77)(17, 83)(18, 112)(19, 114)(20, 113)(21, 118)(22, 79)(23, 93)(24, 80)(25, 116)(26, 121)(27, 115)(28, 119)(29, 123)(30, 84)(31, 85)(32, 88)(33, 86)(34, 102)(35, 117)(36, 122)(37, 120)(38, 124)(39, 89)(40, 103)(41, 136)(42, 134)(43, 133)(44, 139)(45, 126)(46, 132)(47, 97)(48, 107)(49, 125)(50, 127)(51, 98)(52, 108)(53, 141)(54, 140)(55, 142)(56, 100)(57, 101)(58, 128)(59, 109)(60, 105)(61, 104)(62, 111)(63, 110)(64, 106)(65, 131)(66, 129)(67, 144)(68, 137)(69, 138)(70, 143)(71, 135)(72, 130)
	local type(s) :: { ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1932
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 72 f = 12
	degree seq :: [ 24^6 ]

E28.1935 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 12, 24})
Quotient :: loop
Aut^+ = C3 x (C3 : C8) (small group id <72, 12>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^2 * T2^3, T1^-1 * T2 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1, T1^8, T1^-1 * T2 * T1^-1 * T2 * T1 * T2^-1 * T1 * T2^-1, T2 * T1^-1 * T2 * T1^-1 * T2^2 * T1^-1 * T2^2 * T1^-1, (T1^-1 * T2^-1)^24 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 10, 82, 13, 85, 29, 101, 55, 127, 40, 112, 43, 115, 19, 91, 6, 78, 17, 89, 5, 77)(2, 74, 7, 79, 14, 86, 4, 76, 12, 84, 31, 103, 33, 105, 62, 134, 41, 113, 18, 90, 24, 96, 8, 80)(9, 81, 25, 97, 30, 102, 11, 83, 28, 100, 57, 129, 59, 131, 72, 144, 66, 138, 39, 111, 53, 125, 26, 98)(15, 87, 35, 107, 38, 110, 16, 88, 37, 109, 56, 128, 27, 99, 54, 126, 67, 139, 42, 114, 65, 137, 36, 108)(20, 92, 44, 116, 47, 119, 21, 93, 46, 118, 63, 135, 32, 104, 58, 130, 70, 142, 52, 124, 68, 140, 45, 117)(22, 94, 48, 120, 51, 123, 23, 95, 50, 122, 64, 136, 34, 106, 60, 132, 71, 143, 61, 133, 69, 141, 49, 121)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 87)(6, 90)(7, 92)(8, 94)(9, 89)(10, 88)(11, 75)(12, 93)(13, 76)(14, 95)(15, 91)(16, 77)(17, 111)(18, 112)(19, 114)(20, 96)(21, 79)(22, 113)(23, 80)(24, 124)(25, 116)(26, 120)(27, 82)(28, 118)(29, 83)(30, 122)(31, 106)(32, 84)(33, 85)(34, 86)(35, 117)(36, 121)(37, 119)(38, 123)(39, 115)(40, 105)(41, 133)(42, 127)(43, 131)(44, 125)(45, 137)(46, 97)(47, 107)(48, 138)(49, 139)(50, 98)(51, 108)(52, 134)(53, 140)(54, 135)(55, 99)(56, 136)(57, 132)(58, 100)(59, 101)(60, 102)(61, 103)(62, 104)(63, 109)(64, 110)(65, 142)(66, 141)(67, 143)(68, 144)(69, 129)(70, 126)(71, 128)(72, 130)
	local type(s) :: { ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1933
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 72 f = 12
	degree seq :: [ 24^6 ]

E28.1936 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 12, 24})
Quotient :: loop
Aut^+ = C3 x (C3 : C8) (small group id <72, 12>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^2 * T2^-1 * T1^-1 * T2^-1, T2^-2 * T1 * T2^-1 * T1 * T2^-1, T2 * T1 * T2^-2 * T1^-1 * T2, T1^12, T1 * T2 * T1 * T2^19 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 10, 82, 22, 94, 39, 111, 20, 92, 18, 90, 35, 107, 51, 123, 52, 124, 65, 137, 62, 134, 60, 132, 67, 139, 70, 142, 58, 130, 57, 129, 43, 115, 29, 101, 31, 103, 41, 113, 28, 100, 17, 89, 5, 77)(2, 74, 7, 79, 21, 93, 24, 96, 40, 112, 36, 108, 34, 106, 49, 121, 63, 135, 64, 136, 72, 144, 66, 138, 54, 126, 56, 128, 59, 131, 46, 118, 45, 117, 30, 102, 13, 85, 16, 88, 27, 99, 11, 83, 23, 95, 8, 80)(4, 76, 12, 84, 26, 98, 15, 87, 25, 97, 9, 81, 6, 78, 19, 91, 37, 109, 38, 110, 53, 125, 50, 122, 48, 120, 61, 133, 71, 143, 69, 141, 68, 140, 55, 127, 42, 114, 44, 116, 47, 119, 33, 105, 32, 104, 14, 86)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 87)(6, 90)(7, 92)(8, 94)(9, 96)(10, 93)(11, 75)(12, 80)(13, 76)(14, 83)(15, 79)(16, 77)(17, 95)(18, 106)(19, 108)(20, 110)(21, 109)(22, 91)(23, 97)(24, 107)(25, 111)(26, 82)(27, 98)(28, 84)(29, 85)(30, 100)(31, 86)(32, 89)(33, 88)(34, 120)(35, 122)(36, 124)(37, 123)(38, 121)(39, 112)(40, 125)(41, 99)(42, 101)(43, 105)(44, 102)(45, 104)(46, 103)(47, 113)(48, 132)(49, 134)(50, 136)(51, 135)(52, 133)(53, 137)(54, 114)(55, 118)(56, 115)(57, 117)(58, 116)(59, 119)(60, 126)(61, 138)(62, 141)(63, 143)(64, 139)(65, 144)(66, 130)(67, 127)(68, 129)(69, 128)(70, 131)(71, 142)(72, 140)
	local type(s) :: { ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1929
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 72 f = 15
	degree seq :: [ 48^3 ]

E28.1937 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 12, 24})
Quotient :: loop
Aut^+ = C3 x (C3 : C8) (small group id <72, 12>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^2 * T1^-1 * T2^-2 * T1, T2 * T1^-1 * T2^3 * T1^-1, T1^2 * T2 * T1 * T2 * T1^2, T1^-1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2, (T2^-1 * T1^-1 * T2^-1)^3 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 10, 82, 24, 96, 50, 122, 21, 93, 36, 108, 61, 133, 72, 144, 54, 126, 71, 143, 51, 123, 70, 142, 48, 120, 69, 141, 46, 118, 68, 140, 44, 116, 18, 90, 39, 111, 63, 135, 34, 106, 17, 89, 5, 77)(2, 74, 7, 79, 22, 94, 47, 119, 66, 138, 37, 109, 13, 85, 35, 107, 60, 132, 38, 110, 59, 131, 33, 105, 58, 130, 41, 113, 57, 129, 27, 99, 56, 128, 64, 136, 43, 115, 16, 88, 32, 104, 11, 83, 26, 98, 8, 80)(4, 76, 12, 84, 30, 102, 15, 87, 29, 101, 9, 81, 28, 100, 53, 125, 67, 139, 42, 114, 62, 134, 31, 103, 55, 127, 25, 97, 52, 124, 23, 95, 49, 121, 20, 92, 6, 78, 19, 91, 45, 117, 65, 137, 40, 112, 14, 86)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 87)(6, 90)(7, 93)(8, 96)(9, 99)(10, 94)(11, 75)(12, 105)(13, 76)(14, 110)(15, 113)(16, 77)(17, 98)(18, 115)(19, 109)(20, 119)(21, 114)(22, 117)(23, 79)(24, 125)(25, 80)(26, 121)(27, 111)(28, 108)(29, 122)(30, 82)(31, 83)(32, 124)(33, 118)(34, 84)(35, 123)(36, 85)(37, 126)(38, 120)(39, 86)(40, 89)(41, 116)(42, 88)(43, 127)(44, 137)(45, 135)(46, 91)(47, 133)(48, 92)(49, 140)(50, 138)(51, 95)(52, 141)(53, 136)(54, 97)(55, 142)(56, 134)(57, 139)(58, 100)(59, 101)(60, 102)(61, 103)(62, 143)(63, 104)(64, 106)(65, 107)(66, 112)(67, 144)(68, 128)(69, 129)(70, 130)(71, 131)(72, 132)
	local type(s) :: { ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1928
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 72 f = 15
	degree seq :: [ 48^3 ]

E28.1938 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 12, 24})
Quotient :: loop
Aut^+ = C3 x (C3 : C8) (small group id <72, 12>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-2 * T1^-1 * T2^2 * T1, T2^-1 * T1^-2 * T2 * T1^2, (T2^-1 * T1)^3, T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1, T2^-1 * T1^-2 * T2^-1 * T1^-4, T2^8 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 10, 82, 29, 101, 57, 129, 39, 111, 17, 89, 5, 77)(2, 74, 7, 79, 22, 94, 49, 121, 68, 140, 52, 124, 26, 98, 8, 80)(4, 76, 12, 84, 30, 102, 55, 127, 69, 141, 53, 125, 37, 109, 14, 86)(6, 78, 19, 91, 44, 116, 65, 137, 72, 144, 66, 138, 46, 118, 20, 92)(9, 81, 27, 99, 54, 126, 36, 108, 60, 132, 33, 105, 15, 87, 28, 100)(11, 83, 24, 96, 48, 120, 21, 93, 47, 119, 38, 110, 16, 88, 32, 104)(13, 85, 31, 103, 58, 130, 67, 139, 71, 143, 61, 133, 40, 112, 35, 107)(18, 90, 41, 113, 34, 106, 59, 131, 70, 142, 56, 128, 62, 134, 42, 114)(23, 95, 45, 117, 64, 136, 43, 115, 63, 135, 51, 123, 25, 97, 50, 122)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 87)(6, 90)(7, 93)(8, 96)(9, 91)(10, 94)(11, 75)(12, 95)(13, 76)(14, 97)(15, 92)(16, 77)(17, 98)(18, 112)(19, 115)(20, 117)(21, 113)(22, 116)(23, 79)(24, 114)(25, 80)(26, 118)(27, 125)(28, 127)(29, 126)(30, 82)(31, 83)(32, 128)(33, 84)(34, 85)(35, 88)(36, 86)(37, 89)(38, 131)(39, 132)(40, 109)(41, 108)(42, 99)(43, 107)(44, 106)(45, 133)(46, 134)(47, 111)(48, 101)(49, 110)(50, 139)(51, 103)(52, 104)(53, 135)(54, 137)(55, 136)(56, 100)(57, 140)(58, 102)(59, 105)(60, 138)(61, 119)(62, 143)(63, 124)(64, 121)(65, 123)(66, 122)(67, 120)(68, 144)(69, 129)(70, 130)(71, 141)(72, 142)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1931
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 72 f = 9
	degree seq :: [ 16^9 ]

E28.1939 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 12, 24})
Quotient :: loop
Aut^+ = C3 x (C3 : C8) (small group id <72, 12>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2^-1 * T1^-2 * T2 * T1^2, T2^8 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 10, 82, 29, 101, 51, 123, 37, 109, 17, 89, 5, 77)(2, 74, 7, 79, 22, 94, 45, 117, 62, 134, 48, 120, 26, 98, 8, 80)(4, 76, 12, 84, 30, 102, 53, 125, 67, 139, 55, 127, 35, 107, 14, 86)(6, 78, 19, 91, 42, 114, 59, 131, 71, 143, 61, 133, 44, 116, 20, 92)(9, 81, 27, 99, 49, 121, 65, 137, 56, 128, 36, 108, 15, 87, 28, 100)(11, 83, 31, 103, 52, 124, 64, 136, 47, 119, 24, 96, 16, 88, 21, 93)(13, 85, 32, 104, 54, 126, 68, 140, 69, 141, 57, 129, 38, 110, 34, 106)(18, 90, 39, 111, 33, 105, 50, 122, 66, 138, 70, 142, 58, 130, 40, 112)(23, 95, 46, 118, 63, 135, 72, 144, 60, 132, 43, 115, 25, 97, 41, 113)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 87)(6, 90)(7, 93)(8, 96)(9, 91)(10, 94)(11, 75)(12, 95)(13, 76)(14, 97)(15, 92)(16, 77)(17, 98)(18, 110)(19, 113)(20, 115)(21, 111)(22, 114)(23, 79)(24, 112)(25, 80)(26, 116)(27, 84)(28, 86)(29, 121)(30, 82)(31, 122)(32, 83)(33, 85)(34, 88)(35, 89)(36, 127)(37, 128)(38, 107)(39, 100)(40, 108)(41, 106)(42, 105)(43, 129)(44, 130)(45, 103)(46, 104)(47, 109)(48, 136)(49, 131)(50, 99)(51, 134)(52, 101)(53, 135)(54, 102)(55, 132)(56, 133)(57, 119)(58, 141)(59, 118)(60, 120)(61, 144)(62, 143)(63, 117)(64, 142)(65, 125)(66, 126)(67, 123)(68, 124)(69, 139)(70, 137)(71, 138)(72, 140)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1930
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 72 f = 9
	degree seq :: [ 16^9 ]

E28.1940 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 12, 24})
Quotient :: dipole
Aut^+ = C3 x (C3 : C8) (small group id <72, 12>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y3)^2, (R * Y1)^2, Y1^2 * Y2^3, (R * Y2 * Y3^-1)^2, Y3^2 * Y2 * Y1 * Y3^-1 * Y2^-1, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y3^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y3 * Y2^-1 * Y1 * Y2 * Y3 * Y2 * Y3^-1 * Y2^-1, (Y3 * Y1^-1)^4, Y1^8, Y1^-1 * Y2 * Y1^-2 * Y2^2 * Y1^-3, Y2 * Y3 * Y2^2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 18, 90, 40, 112, 33, 105, 13, 85, 4, 76)(3, 75, 9, 81, 17, 89, 39, 111, 43, 115, 59, 131, 29, 101, 11, 83)(5, 77, 15, 87, 19, 91, 42, 114, 55, 127, 27, 99, 10, 82, 16, 88)(7, 79, 20, 92, 24, 96, 52, 124, 62, 134, 32, 104, 12, 84, 21, 93)(8, 80, 22, 94, 41, 113, 61, 133, 31, 103, 34, 106, 14, 86, 23, 95)(25, 97, 44, 116, 53, 125, 68, 140, 72, 144, 58, 130, 28, 100, 46, 118)(26, 98, 48, 120, 66, 138, 69, 141, 57, 129, 60, 132, 30, 102, 50, 122)(35, 107, 45, 117, 65, 137, 70, 142, 54, 126, 63, 135, 37, 109, 47, 119)(36, 108, 49, 121, 67, 139, 71, 143, 56, 128, 64, 136, 38, 110, 51, 123)(145, 217, 147, 219, 154, 226, 157, 229, 173, 245, 199, 271, 184, 256, 187, 259, 163, 235, 150, 222, 161, 233, 149, 221)(146, 218, 151, 223, 158, 230, 148, 220, 156, 228, 175, 247, 177, 249, 206, 278, 185, 257, 162, 234, 168, 240, 152, 224)(153, 225, 169, 241, 174, 246, 155, 227, 172, 244, 201, 273, 203, 275, 216, 288, 210, 282, 183, 255, 197, 269, 170, 242)(159, 231, 179, 251, 182, 254, 160, 232, 181, 253, 200, 272, 171, 243, 198, 270, 211, 283, 186, 258, 209, 281, 180, 252)(164, 236, 188, 260, 191, 263, 165, 237, 190, 262, 207, 279, 176, 248, 202, 274, 214, 286, 196, 268, 212, 284, 189, 261)(166, 238, 192, 264, 195, 267, 167, 239, 194, 266, 208, 280, 178, 250, 204, 276, 215, 287, 205, 277, 213, 285, 193, 265)
	L = (1, 148)(2, 145)(3, 155)(4, 157)(5, 160)(6, 146)(7, 165)(8, 167)(9, 147)(10, 171)(11, 173)(12, 176)(13, 177)(14, 178)(15, 149)(16, 154)(17, 153)(18, 150)(19, 159)(20, 151)(21, 156)(22, 152)(23, 158)(24, 164)(25, 190)(26, 194)(27, 199)(28, 202)(29, 203)(30, 204)(31, 205)(32, 206)(33, 184)(34, 175)(35, 191)(36, 195)(37, 207)(38, 208)(39, 161)(40, 162)(41, 166)(42, 163)(43, 183)(44, 169)(45, 179)(46, 172)(47, 181)(48, 170)(49, 180)(50, 174)(51, 182)(52, 168)(53, 188)(54, 214)(55, 186)(56, 215)(57, 213)(58, 216)(59, 187)(60, 201)(61, 185)(62, 196)(63, 198)(64, 200)(65, 189)(66, 192)(67, 193)(68, 197)(69, 210)(70, 209)(71, 211)(72, 212)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E28.1947
Graph:: bipartite
	v = 15 e = 144 f = 75
	degree seq :: [ 16^9, 24^6 ]

E28.1941 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 12, 24})
Quotient :: dipole
Aut^+ = C3 x (C3 : C8) (small group id <72, 12>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y3^-1 * Y1^-1, (Y3^-1, Y1), (R * Y3)^2, (R * Y1)^2, Y2^-3 * Y3^-2, Y1 * Y2^-1 * Y3 * Y1^-1 * Y2 * Y3^-1, Y3^-1 * Y2^-1 * Y1^-1 * Y3 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y3 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1, (Y3^2 * Y1^-1 * Y3)^2, Y1^4 * Y3^-1 * Y1 * Y3^-2, Y2^-1 * Y3 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2 * Y1^-1, Y1 * Y2^-1 * Y3 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y2^-1, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 18, 90, 40, 112, 31, 103, 13, 85, 4, 76)(3, 75, 9, 81, 19, 91, 42, 114, 62, 134, 39, 111, 17, 89, 11, 83)(5, 77, 15, 87, 10, 82, 27, 99, 43, 115, 61, 133, 32, 104, 16, 88)(7, 79, 20, 92, 41, 113, 64, 136, 34, 106, 30, 102, 12, 84, 22, 94)(8, 80, 23, 95, 21, 93, 46, 118, 60, 132, 33, 105, 14, 86, 24, 96)(25, 97, 44, 116, 67, 139, 72, 144, 58, 130, 56, 128, 28, 100, 47, 119)(26, 98, 49, 121, 53, 125, 69, 141, 66, 138, 57, 129, 29, 101, 51, 123)(35, 107, 45, 117, 54, 126, 68, 140, 65, 137, 59, 131, 37, 109, 48, 120)(36, 108, 50, 122, 55, 127, 70, 142, 71, 143, 63, 135, 38, 110, 52, 124)(145, 217, 147, 219, 154, 226, 150, 222, 163, 235, 187, 259, 184, 256, 206, 278, 176, 248, 157, 229, 161, 233, 149, 221)(146, 218, 151, 223, 165, 237, 162, 234, 185, 257, 204, 276, 175, 247, 178, 250, 158, 230, 148, 220, 156, 228, 152, 224)(153, 225, 169, 241, 197, 269, 186, 258, 211, 283, 210, 282, 183, 255, 202, 274, 173, 245, 155, 227, 172, 244, 170, 242)(159, 231, 179, 251, 199, 271, 171, 243, 198, 270, 215, 287, 205, 277, 209, 281, 182, 254, 160, 232, 181, 253, 180, 252)(164, 236, 188, 260, 212, 284, 208, 280, 216, 288, 203, 275, 174, 246, 200, 272, 192, 264, 166, 238, 191, 263, 189, 261)(167, 239, 193, 265, 214, 286, 190, 262, 213, 285, 207, 279, 177, 249, 201, 273, 196, 268, 168, 240, 195, 267, 194, 266)
	L = (1, 148)(2, 145)(3, 155)(4, 157)(5, 160)(6, 146)(7, 166)(8, 168)(9, 147)(10, 159)(11, 161)(12, 174)(13, 175)(14, 177)(15, 149)(16, 176)(17, 183)(18, 150)(19, 153)(20, 151)(21, 167)(22, 156)(23, 152)(24, 158)(25, 191)(26, 195)(27, 154)(28, 200)(29, 201)(30, 178)(31, 184)(32, 205)(33, 204)(34, 208)(35, 192)(36, 196)(37, 203)(38, 207)(39, 206)(40, 162)(41, 164)(42, 163)(43, 171)(44, 169)(45, 179)(46, 165)(47, 172)(48, 181)(49, 170)(50, 180)(51, 173)(52, 182)(53, 193)(54, 189)(55, 194)(56, 202)(57, 210)(58, 216)(59, 209)(60, 190)(61, 187)(62, 186)(63, 215)(64, 185)(65, 212)(66, 213)(67, 188)(68, 198)(69, 197)(70, 199)(71, 214)(72, 211)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E28.1946
Graph:: bipartite
	v = 15 e = 144 f = 75
	degree seq :: [ 16^9, 24^6 ]

E28.1942 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 12, 24})
Quotient :: dipole
Aut^+ = C3 x (C3 : C8) (small group id <72, 12>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^2 * Y2^-1 * Y1^-1 * Y2^-1, Y2^-2 * Y1 * Y2^-1 * Y1 * Y2^-1, Y2 * Y1 * Y2^-2 * Y1^-1 * Y2, Y1^12, (Y3^-1 * Y1^-1)^8, Y1 * Y2 * Y1 * Y2^19 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 18, 90, 34, 106, 48, 120, 60, 132, 54, 126, 42, 114, 29, 101, 13, 85, 4, 76)(3, 75, 9, 81, 24, 96, 35, 107, 50, 122, 64, 136, 67, 139, 55, 127, 46, 118, 31, 103, 14, 86, 11, 83)(5, 77, 15, 87, 7, 79, 20, 92, 38, 110, 49, 121, 62, 134, 69, 141, 56, 128, 43, 115, 33, 105, 16, 88)(8, 80, 22, 94, 19, 91, 36, 108, 52, 124, 61, 133, 66, 138, 58, 130, 44, 116, 30, 102, 28, 100, 12, 84)(10, 82, 21, 93, 37, 109, 51, 123, 63, 135, 71, 143, 70, 142, 59, 131, 47, 119, 41, 113, 27, 99, 26, 98)(17, 89, 23, 95, 25, 97, 39, 111, 40, 112, 53, 125, 65, 137, 72, 144, 68, 140, 57, 129, 45, 117, 32, 104)(145, 217, 147, 219, 154, 226, 166, 238, 183, 255, 164, 236, 162, 234, 179, 251, 195, 267, 196, 268, 209, 281, 206, 278, 204, 276, 211, 283, 214, 286, 202, 274, 201, 273, 187, 259, 173, 245, 175, 247, 185, 257, 172, 244, 161, 233, 149, 221)(146, 218, 151, 223, 165, 237, 168, 240, 184, 256, 180, 252, 178, 250, 193, 265, 207, 279, 208, 280, 216, 288, 210, 282, 198, 270, 200, 272, 203, 275, 190, 262, 189, 261, 174, 246, 157, 229, 160, 232, 171, 243, 155, 227, 167, 239, 152, 224)(148, 220, 156, 228, 170, 242, 159, 231, 169, 241, 153, 225, 150, 222, 163, 235, 181, 253, 182, 254, 197, 269, 194, 266, 192, 264, 205, 277, 215, 287, 213, 285, 212, 284, 199, 271, 186, 258, 188, 260, 191, 263, 177, 249, 176, 248, 158, 230)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 163)(7, 165)(8, 146)(9, 150)(10, 166)(11, 167)(12, 170)(13, 160)(14, 148)(15, 169)(16, 171)(17, 149)(18, 179)(19, 181)(20, 162)(21, 168)(22, 183)(23, 152)(24, 184)(25, 153)(26, 159)(27, 155)(28, 161)(29, 175)(30, 157)(31, 185)(32, 158)(33, 176)(34, 193)(35, 195)(36, 178)(37, 182)(38, 197)(39, 164)(40, 180)(41, 172)(42, 188)(43, 173)(44, 191)(45, 174)(46, 189)(47, 177)(48, 205)(49, 207)(50, 192)(51, 196)(52, 209)(53, 194)(54, 200)(55, 186)(56, 203)(57, 187)(58, 201)(59, 190)(60, 211)(61, 215)(62, 204)(63, 208)(64, 216)(65, 206)(66, 198)(67, 214)(68, 199)(69, 212)(70, 202)(71, 213)(72, 210)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.1945
Graph:: bipartite
	v = 9 e = 144 f = 81
	degree seq :: [ 24^6, 48^3 ]

E28.1943 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 12, 24})
Quotient :: dipole
Aut^+ = C3 x (C3 : C8) (small group id <72, 12>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y2^2 * Y1^-1 * Y2^-2 * Y1, Y2^-2 * Y1 * Y2^-1 * Y1 * Y2^-1, Y1^2 * Y2 * Y1 * Y2 * Y1^2, Y1^-1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2, (Y2^-1 * Y1^-1 * Y2^-1)^3, (Y3^-1 * Y1^-1)^8 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 18, 90, 43, 115, 55, 127, 70, 142, 58, 130, 28, 100, 36, 108, 13, 85, 4, 76)(3, 75, 9, 81, 27, 99, 39, 111, 14, 86, 38, 110, 48, 120, 20, 92, 47, 119, 61, 133, 31, 103, 11, 83)(5, 77, 15, 87, 41, 113, 44, 116, 65, 137, 35, 107, 51, 123, 23, 95, 7, 79, 21, 93, 42, 114, 16, 88)(8, 80, 24, 96, 53, 125, 64, 136, 34, 106, 12, 84, 33, 105, 46, 118, 19, 91, 37, 109, 54, 126, 25, 97)(10, 82, 22, 94, 45, 117, 63, 135, 32, 104, 52, 124, 69, 141, 57, 129, 67, 139, 72, 144, 60, 132, 30, 102)(17, 89, 26, 98, 49, 121, 68, 140, 56, 128, 62, 134, 71, 143, 59, 131, 29, 101, 50, 122, 66, 138, 40, 112)(145, 217, 147, 219, 154, 226, 168, 240, 194, 266, 165, 237, 180, 252, 205, 277, 216, 288, 198, 270, 215, 287, 195, 267, 214, 286, 192, 264, 213, 285, 190, 262, 212, 284, 188, 260, 162, 234, 183, 255, 207, 279, 178, 250, 161, 233, 149, 221)(146, 218, 151, 223, 166, 238, 191, 263, 210, 282, 181, 253, 157, 229, 179, 251, 204, 276, 182, 254, 203, 275, 177, 249, 202, 274, 185, 257, 201, 273, 171, 243, 200, 272, 208, 280, 187, 259, 160, 232, 176, 248, 155, 227, 170, 242, 152, 224)(148, 220, 156, 228, 174, 246, 159, 231, 173, 245, 153, 225, 172, 244, 197, 269, 211, 283, 186, 258, 206, 278, 175, 247, 199, 271, 169, 241, 196, 268, 167, 239, 193, 265, 164, 236, 150, 222, 163, 235, 189, 261, 209, 281, 184, 256, 158, 230)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 163)(7, 166)(8, 146)(9, 172)(10, 168)(11, 170)(12, 174)(13, 179)(14, 148)(15, 173)(16, 176)(17, 149)(18, 183)(19, 189)(20, 150)(21, 180)(22, 191)(23, 193)(24, 194)(25, 196)(26, 152)(27, 200)(28, 197)(29, 153)(30, 159)(31, 199)(32, 155)(33, 202)(34, 161)(35, 204)(36, 205)(37, 157)(38, 203)(39, 207)(40, 158)(41, 201)(42, 206)(43, 160)(44, 162)(45, 209)(46, 212)(47, 210)(48, 213)(49, 164)(50, 165)(51, 214)(52, 167)(53, 211)(54, 215)(55, 169)(56, 208)(57, 171)(58, 185)(59, 177)(60, 182)(61, 216)(62, 175)(63, 178)(64, 187)(65, 184)(66, 181)(67, 186)(68, 188)(69, 190)(70, 192)(71, 195)(72, 198)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.1944
Graph:: bipartite
	v = 9 e = 144 f = 81
	degree seq :: [ 24^6, 48^3 ]

E28.1944 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 12, 24})
Quotient :: dipole
Aut^+ = C3 x (C3 : C8) (small group id <72, 12>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3 * Y2^2 * Y3^-1 * Y2^-1, Y3^2 * Y2 * Y3^-2 * Y2^-1, (Y2^-1 * Y3^-1)^3, Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3^4 * Y2^-1 * Y3^2 * Y2^-1, Y2^8, (Y3^-1 * Y1^-1)^24 ]
Map::
	R = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)(145, 217, 146, 218, 150, 222, 162, 234, 184, 256, 179, 251, 157, 229, 148, 220)(147, 219, 153, 225, 163, 235, 187, 259, 205, 277, 195, 267, 176, 248, 155, 227)(149, 221, 159, 231, 164, 236, 189, 261, 206, 278, 193, 265, 180, 252, 160, 232)(151, 223, 165, 237, 185, 257, 182, 254, 203, 275, 178, 250, 156, 228, 167, 239)(152, 224, 168, 240, 186, 258, 175, 247, 198, 270, 171, 243, 158, 230, 169, 241)(154, 226, 166, 238, 188, 260, 207, 279, 215, 287, 214, 286, 202, 274, 174, 246)(161, 233, 170, 242, 190, 262, 208, 280, 216, 288, 213, 285, 204, 276, 181, 253)(172, 244, 199, 271, 209, 281, 196, 268, 212, 284, 192, 264, 177, 249, 200, 272)(173, 245, 197, 269, 210, 282, 194, 266, 211, 283, 191, 263, 183, 255, 201, 273)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 163)(7, 166)(8, 146)(9, 171)(10, 173)(11, 175)(12, 174)(13, 176)(14, 148)(15, 172)(16, 177)(17, 149)(18, 185)(19, 188)(20, 150)(21, 160)(22, 192)(23, 193)(24, 191)(25, 194)(26, 152)(27, 197)(28, 153)(29, 190)(30, 196)(31, 201)(32, 202)(33, 155)(34, 189)(35, 203)(36, 157)(37, 158)(38, 159)(39, 161)(40, 205)(41, 207)(42, 162)(43, 169)(44, 210)(45, 209)(46, 164)(47, 165)(48, 208)(49, 212)(50, 167)(51, 168)(52, 170)(53, 178)(54, 179)(55, 181)(56, 213)(57, 182)(58, 183)(59, 214)(60, 180)(61, 215)(62, 184)(63, 200)(64, 186)(65, 187)(66, 216)(67, 204)(68, 195)(69, 198)(70, 199)(71, 211)(72, 206)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 24, 48 ), ( 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48 ) }
Outer automorphisms :: reflexible
Dual of E28.1943
Graph:: simple bipartite
	v = 81 e = 144 f = 9
	degree seq :: [ 2^72, 16^9 ]

E28.1945 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 12, 24})
Quotient :: dipole
Aut^+ = C3 x (C3 : C8) (small group id <72, 12>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2, Y3^2 * Y2 * Y3^-2 * Y2^-1, Y2^-1 * Y3^-1 * Y2^2 * Y3 * Y2^-1, Y3^4 * Y2^-1 * Y3^2 * Y2^-1, Y2^8, (Y3^-1 * Y1^-1)^24 ]
Map::
	R = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)(145, 217, 146, 218, 150, 222, 162, 234, 182, 254, 177, 249, 157, 229, 148, 220)(147, 219, 153, 225, 163, 235, 185, 257, 201, 273, 194, 266, 174, 246, 155, 227)(149, 221, 159, 231, 164, 236, 187, 259, 202, 274, 199, 271, 178, 250, 160, 232)(151, 223, 165, 237, 183, 255, 203, 275, 196, 268, 176, 248, 156, 228, 167, 239)(152, 224, 168, 240, 184, 256, 205, 277, 198, 270, 179, 251, 158, 230, 169, 241)(154, 226, 166, 238, 186, 258, 204, 276, 213, 285, 209, 281, 193, 265, 173, 245)(161, 233, 170, 242, 188, 260, 206, 278, 214, 286, 212, 284, 200, 272, 180, 252)(171, 243, 190, 262, 207, 279, 216, 288, 210, 282, 195, 267, 175, 247, 192, 264)(172, 244, 189, 261, 208, 280, 215, 287, 211, 283, 197, 269, 181, 253, 191, 263)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 163)(7, 166)(8, 146)(9, 168)(10, 172)(11, 169)(12, 173)(13, 174)(14, 148)(15, 171)(16, 175)(17, 149)(18, 183)(19, 186)(20, 150)(21, 187)(22, 190)(23, 159)(24, 189)(25, 191)(26, 152)(27, 153)(28, 188)(29, 192)(30, 193)(31, 155)(32, 160)(33, 196)(34, 157)(35, 197)(36, 158)(37, 161)(38, 201)(39, 204)(40, 162)(41, 205)(42, 208)(43, 207)(44, 164)(45, 165)(46, 206)(47, 167)(48, 170)(49, 181)(50, 179)(51, 180)(52, 209)(53, 176)(54, 177)(55, 210)(56, 178)(57, 213)(58, 182)(59, 199)(60, 216)(61, 215)(62, 184)(63, 185)(64, 214)(65, 195)(66, 194)(67, 200)(68, 198)(69, 211)(70, 202)(71, 203)(72, 212)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 24, 48 ), ( 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48 ) }
Outer automorphisms :: reflexible
Dual of E28.1942
Graph:: simple bipartite
	v = 81 e = 144 f = 9
	degree seq :: [ 2^72, 16^9 ]

E28.1946 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 12, 24})
Quotient :: dipole
Aut^+ = C3 x (C3 : C8) (small group id <72, 12>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^-2 * Y3 * Y1^2, Y3^-2 * Y1^-1 * Y3^2 * Y1, (Y3 * Y1^-1)^3, Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1, Y3^-1 * Y1^-2 * Y3^-1 * Y1^-4, Y3^8, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 18, 90, 40, 112, 37, 109, 17, 89, 26, 98, 46, 118, 62, 134, 71, 143, 69, 141, 57, 129, 68, 140, 72, 144, 70, 142, 58, 130, 30, 102, 10, 82, 22, 94, 44, 116, 34, 106, 13, 85, 4, 76)(3, 75, 9, 81, 19, 91, 43, 115, 35, 107, 16, 88, 5, 77, 15, 87, 20, 92, 45, 117, 61, 133, 47, 119, 39, 111, 60, 132, 66, 138, 50, 122, 67, 139, 48, 120, 29, 101, 54, 126, 65, 137, 51, 123, 31, 103, 11, 83)(7, 79, 21, 93, 41, 113, 36, 108, 14, 86, 25, 97, 8, 80, 24, 96, 42, 114, 27, 99, 53, 125, 63, 135, 52, 124, 32, 104, 56, 128, 28, 100, 55, 127, 64, 136, 49, 121, 38, 110, 59, 131, 33, 105, 12, 84, 23, 95)(145, 217)(146, 218)(147, 219)(148, 220)(149, 221)(150, 222)(151, 223)(152, 224)(153, 225)(154, 226)(155, 227)(156, 228)(157, 229)(158, 230)(159, 231)(160, 232)(161, 233)(162, 234)(163, 235)(164, 236)(165, 237)(166, 238)(167, 239)(168, 240)(169, 241)(170, 242)(171, 243)(172, 244)(173, 245)(174, 246)(175, 247)(176, 248)(177, 249)(178, 250)(179, 251)(180, 252)(181, 253)(182, 254)(183, 255)(184, 256)(185, 257)(186, 258)(187, 259)(188, 260)(189, 261)(190, 262)(191, 263)(192, 264)(193, 265)(194, 266)(195, 267)(196, 268)(197, 269)(198, 270)(199, 271)(200, 272)(201, 273)(202, 274)(203, 275)(204, 276)(205, 277)(206, 278)(207, 279)(208, 280)(209, 281)(210, 282)(211, 283)(212, 284)(213, 285)(214, 286)(215, 287)(216, 288)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 163)(7, 166)(8, 146)(9, 171)(10, 173)(11, 168)(12, 174)(13, 175)(14, 148)(15, 172)(16, 176)(17, 149)(18, 185)(19, 188)(20, 150)(21, 191)(22, 193)(23, 189)(24, 192)(25, 194)(26, 152)(27, 198)(28, 153)(29, 201)(30, 199)(31, 202)(32, 155)(33, 159)(34, 203)(35, 157)(36, 204)(37, 158)(38, 160)(39, 161)(40, 179)(41, 178)(42, 162)(43, 207)(44, 209)(45, 208)(46, 164)(47, 182)(48, 165)(49, 212)(50, 167)(51, 169)(52, 170)(53, 181)(54, 180)(55, 213)(56, 206)(57, 183)(58, 211)(59, 214)(60, 177)(61, 184)(62, 186)(63, 195)(64, 187)(65, 216)(66, 190)(67, 215)(68, 196)(69, 197)(70, 200)(71, 205)(72, 210)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 16, 24 ), ( 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1941
Graph:: simple bipartite
	v = 75 e = 144 f = 15
	degree seq :: [ 2^72, 48^3 ]

E28.1947 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 12, 24})
Quotient :: dipole
Aut^+ = C3 x (C3 : C8) (small group id <72, 12>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y1^-1 * Y3^-1 * Y1^2 * Y3 * Y1^-1, Y3^-1 * Y1^-2 * Y3^-1 * Y1^-4, Y3^-5 * Y1^-1 * Y3^-2 * Y1 * Y3^-1, (Y3 * Y2^-1)^8, Y3^-2 * Y1^18 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 18, 90, 38, 110, 35, 107, 17, 89, 26, 98, 44, 116, 58, 130, 69, 141, 67, 139, 51, 123, 62, 134, 71, 143, 66, 138, 54, 126, 30, 102, 10, 82, 22, 94, 42, 114, 33, 105, 13, 85, 4, 76)(3, 75, 9, 81, 19, 91, 41, 113, 34, 106, 16, 88, 5, 77, 15, 87, 20, 92, 43, 115, 57, 129, 47, 119, 37, 109, 56, 128, 61, 133, 72, 144, 68, 140, 52, 124, 29, 101, 49, 121, 59, 131, 46, 118, 32, 104, 11, 83)(7, 79, 21, 93, 39, 111, 28, 100, 14, 86, 25, 97, 8, 80, 24, 96, 40, 112, 36, 108, 55, 127, 60, 132, 48, 120, 64, 136, 70, 142, 65, 137, 53, 125, 63, 135, 45, 117, 31, 103, 50, 122, 27, 99, 12, 84, 23, 95)(145, 217)(146, 218)(147, 219)(148, 220)(149, 221)(150, 222)(151, 223)(152, 224)(153, 225)(154, 226)(155, 227)(156, 228)(157, 229)(158, 230)(159, 231)(160, 232)(161, 233)(162, 234)(163, 235)(164, 236)(165, 237)(166, 238)(167, 239)(168, 240)(169, 241)(170, 242)(171, 243)(172, 244)(173, 245)(174, 246)(175, 247)(176, 248)(177, 249)(178, 250)(179, 251)(180, 252)(181, 253)(182, 254)(183, 255)(184, 256)(185, 257)(186, 258)(187, 259)(188, 260)(189, 261)(190, 262)(191, 263)(192, 264)(193, 265)(194, 266)(195, 267)(196, 268)(197, 269)(198, 270)(199, 271)(200, 272)(201, 273)(202, 274)(203, 275)(204, 276)(205, 277)(206, 278)(207, 279)(208, 280)(209, 281)(210, 282)(211, 283)(212, 284)(213, 285)(214, 286)(215, 287)(216, 288)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 163)(7, 166)(8, 146)(9, 171)(10, 173)(11, 175)(12, 174)(13, 176)(14, 148)(15, 172)(16, 165)(17, 149)(18, 183)(19, 186)(20, 150)(21, 155)(22, 189)(23, 190)(24, 160)(25, 185)(26, 152)(27, 193)(28, 153)(29, 195)(30, 197)(31, 196)(32, 198)(33, 194)(34, 157)(35, 158)(36, 159)(37, 161)(38, 178)(39, 177)(40, 162)(41, 167)(42, 203)(43, 169)(44, 164)(45, 206)(46, 207)(47, 168)(48, 170)(49, 209)(50, 210)(51, 181)(52, 208)(53, 211)(54, 212)(55, 179)(56, 180)(57, 182)(58, 184)(59, 215)(60, 187)(61, 188)(62, 192)(63, 216)(64, 191)(65, 200)(66, 214)(67, 199)(68, 213)(69, 201)(70, 202)(71, 205)(72, 204)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 16, 24 ), ( 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1940
Graph:: simple bipartite
	v = 75 e = 144 f = 15
	degree seq :: [ 2^72, 48^3 ]

E28.1948 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 12, 24})
Quotient :: dipole
Aut^+ = C3 x (C3 : C8) (small group id <72, 12>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2^-1 * Y3^-1 * Y2^2 * Y1^-1 * Y2^-1, Y3^2 * Y2 * Y3^-1 * Y1 * Y2^-1, Y2^-2 * Y1^-1 * Y2^2 * Y3^-1, Y3 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, (Y2^-1 * R * Y2^-1)^2, Y2^-1 * Y1^2 * Y2 * Y1^-2, Y3 * Y2^-2 * Y1^-1 * Y2^-4, Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-3 * Y2^-1, Y3^8, Y1^8, Y2 * Y1^3 * Y2 * Y1^3 * Y2 * Y1^3 * Y2 * Y1^2 * Y2^-1 * Y1^2 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 18, 90, 40, 112, 34, 106, 13, 85, 4, 76)(3, 75, 9, 81, 19, 91, 43, 115, 61, 133, 51, 123, 31, 103, 11, 83)(5, 77, 15, 87, 20, 92, 45, 117, 62, 134, 47, 119, 35, 107, 16, 88)(7, 79, 21, 93, 41, 113, 38, 110, 59, 131, 33, 105, 12, 84, 23, 95)(8, 80, 24, 96, 42, 114, 27, 99, 53, 125, 36, 108, 14, 86, 25, 97)(10, 82, 22, 94, 44, 116, 63, 135, 71, 143, 70, 142, 58, 130, 30, 102)(17, 89, 26, 98, 46, 118, 64, 136, 72, 144, 69, 141, 57, 129, 37, 109)(28, 100, 55, 127, 65, 137, 49, 121, 67, 139, 52, 124, 32, 104, 56, 128)(29, 101, 54, 126, 39, 111, 60, 132, 66, 138, 50, 122, 68, 140, 48, 120)(145, 217, 147, 219, 154, 226, 173, 245, 201, 273, 179, 251, 157, 229, 175, 247, 202, 274, 212, 284, 216, 288, 206, 278, 184, 256, 205, 277, 215, 287, 210, 282, 190, 262, 164, 236, 150, 222, 163, 235, 188, 260, 183, 255, 161, 233, 149, 221)(146, 218, 151, 223, 166, 238, 193, 265, 181, 253, 158, 230, 148, 220, 156, 228, 174, 246, 199, 271, 213, 285, 197, 269, 178, 250, 203, 275, 214, 286, 200, 272, 208, 280, 186, 258, 162, 234, 185, 257, 207, 279, 196, 268, 170, 242, 152, 224)(153, 225, 171, 243, 198, 270, 182, 254, 160, 232, 176, 248, 155, 227, 168, 240, 192, 264, 165, 237, 191, 263, 211, 283, 195, 267, 169, 241, 194, 266, 167, 239, 189, 261, 209, 281, 187, 259, 180, 252, 204, 276, 177, 249, 159, 231, 172, 244)
	L = (1, 148)(2, 145)(3, 155)(4, 157)(5, 160)(6, 146)(7, 167)(8, 169)(9, 147)(10, 174)(11, 175)(12, 177)(13, 178)(14, 180)(15, 149)(16, 179)(17, 181)(18, 150)(19, 153)(20, 159)(21, 151)(22, 154)(23, 156)(24, 152)(25, 158)(26, 161)(27, 186)(28, 200)(29, 192)(30, 202)(31, 195)(32, 196)(33, 203)(34, 184)(35, 191)(36, 197)(37, 201)(38, 185)(39, 198)(40, 162)(41, 165)(42, 168)(43, 163)(44, 166)(45, 164)(46, 170)(47, 206)(48, 212)(49, 209)(50, 210)(51, 205)(52, 211)(53, 171)(54, 173)(55, 172)(56, 176)(57, 213)(58, 214)(59, 182)(60, 183)(61, 187)(62, 189)(63, 188)(64, 190)(65, 199)(66, 204)(67, 193)(68, 194)(69, 216)(70, 215)(71, 207)(72, 208)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1951
Graph:: bipartite
	v = 12 e = 144 f = 78
	degree seq :: [ 16^9, 48^3 ]

E28.1949 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 12, 24})
Quotient :: dipole
Aut^+ = C3 x (C3 : C8) (small group id <72, 12>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1, Y2 * Y1 * Y2 * Y3^-1 * Y2 * Y1^-1, Y2^2 * Y1 * Y2^-2 * Y1^-1, Y3 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y1^-1, Y3 * Y2^-2 * Y3^-1 * Y2^2, Y3^2 * Y2 * Y3^-2 * Y2^-1, Y3 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, (Y2^-1 * R * Y2^-1)^2, Y2^-1 * Y3^2 * Y2^-5, Y3^8, Y1^8 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 18, 90, 38, 110, 34, 106, 13, 85, 4, 76)(3, 75, 9, 81, 19, 91, 41, 113, 57, 129, 54, 126, 31, 103, 11, 83)(5, 77, 15, 87, 20, 92, 43, 115, 58, 130, 55, 127, 35, 107, 16, 88)(7, 79, 21, 93, 39, 111, 59, 131, 56, 128, 33, 105, 12, 84, 23, 95)(8, 80, 24, 96, 40, 112, 61, 133, 53, 125, 30, 102, 14, 86, 25, 97)(10, 82, 22, 94, 42, 114, 60, 132, 69, 141, 68, 140, 52, 124, 29, 101)(17, 89, 26, 98, 44, 116, 62, 134, 70, 142, 65, 137, 49, 121, 36, 108)(27, 99, 48, 120, 63, 135, 72, 144, 67, 139, 51, 123, 32, 104, 46, 118)(28, 100, 47, 119, 37, 109, 45, 117, 64, 136, 71, 143, 66, 138, 50, 122)(145, 217, 147, 219, 154, 226, 172, 244, 193, 265, 179, 251, 157, 229, 175, 247, 196, 268, 210, 282, 214, 286, 202, 274, 182, 254, 201, 273, 213, 285, 208, 280, 188, 260, 164, 236, 150, 222, 163, 235, 186, 258, 181, 253, 161, 233, 149, 221)(146, 218, 151, 223, 166, 238, 190, 262, 180, 252, 158, 230, 148, 220, 156, 228, 173, 245, 195, 267, 209, 281, 197, 269, 178, 250, 200, 272, 212, 284, 216, 288, 206, 278, 184, 256, 162, 234, 183, 255, 204, 276, 192, 264, 170, 242, 152, 224)(153, 225, 169, 241, 191, 263, 167, 239, 160, 232, 176, 248, 155, 227, 174, 246, 194, 266, 177, 249, 199, 271, 211, 283, 198, 270, 205, 277, 215, 287, 203, 275, 187, 259, 207, 279, 185, 257, 168, 240, 189, 261, 165, 237, 159, 231, 171, 243)
	L = (1, 148)(2, 145)(3, 155)(4, 157)(5, 160)(6, 146)(7, 167)(8, 169)(9, 147)(10, 173)(11, 175)(12, 177)(13, 178)(14, 174)(15, 149)(16, 179)(17, 180)(18, 150)(19, 153)(20, 159)(21, 151)(22, 154)(23, 156)(24, 152)(25, 158)(26, 161)(27, 190)(28, 194)(29, 196)(30, 197)(31, 198)(32, 195)(33, 200)(34, 182)(35, 199)(36, 193)(37, 191)(38, 162)(39, 165)(40, 168)(41, 163)(42, 166)(43, 164)(44, 170)(45, 181)(46, 176)(47, 172)(48, 171)(49, 209)(50, 210)(51, 211)(52, 212)(53, 205)(54, 201)(55, 202)(56, 203)(57, 185)(58, 187)(59, 183)(60, 186)(61, 184)(62, 188)(63, 192)(64, 189)(65, 214)(66, 215)(67, 216)(68, 213)(69, 204)(70, 206)(71, 208)(72, 207)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1950
Graph:: bipartite
	v = 12 e = 144 f = 78
	degree seq :: [ 16^9, 48^3 ]

E28.1950 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 12, 24})
Quotient :: dipole
Aut^+ = C3 x (C3 : C8) (small group id <72, 12>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1^-2 * Y3 * Y1, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1 * Y3^-1 * Y1 * Y3^-1, Y3^-1 * Y1^-1 * Y3^2 * Y1 * Y3^-1, Y1^12, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 18, 90, 34, 106, 48, 120, 60, 132, 54, 126, 42, 114, 29, 101, 13, 85, 4, 76)(3, 75, 9, 81, 24, 96, 35, 107, 50, 122, 64, 136, 67, 139, 55, 127, 46, 118, 31, 103, 14, 86, 11, 83)(5, 77, 15, 87, 7, 79, 20, 92, 38, 110, 49, 121, 62, 134, 69, 141, 56, 128, 43, 115, 33, 105, 16, 88)(8, 80, 22, 94, 19, 91, 36, 108, 52, 124, 61, 133, 66, 138, 58, 130, 44, 116, 30, 102, 28, 100, 12, 84)(10, 82, 21, 93, 37, 109, 51, 123, 63, 135, 71, 143, 70, 142, 59, 131, 47, 119, 41, 113, 27, 99, 26, 98)(17, 89, 23, 95, 25, 97, 39, 111, 40, 112, 53, 125, 65, 137, 72, 144, 68, 140, 57, 129, 45, 117, 32, 104)(145, 217)(146, 218)(147, 219)(148, 220)(149, 221)(150, 222)(151, 223)(152, 224)(153, 225)(154, 226)(155, 227)(156, 228)(157, 229)(158, 230)(159, 231)(160, 232)(161, 233)(162, 234)(163, 235)(164, 236)(165, 237)(166, 238)(167, 239)(168, 240)(169, 241)(170, 242)(171, 243)(172, 244)(173, 245)(174, 246)(175, 247)(176, 248)(177, 249)(178, 250)(179, 251)(180, 252)(181, 253)(182, 254)(183, 255)(184, 256)(185, 257)(186, 258)(187, 259)(188, 260)(189, 261)(190, 262)(191, 263)(192, 264)(193, 265)(194, 266)(195, 267)(196, 268)(197, 269)(198, 270)(199, 271)(200, 272)(201, 273)(202, 274)(203, 275)(204, 276)(205, 277)(206, 278)(207, 279)(208, 280)(209, 281)(210, 282)(211, 283)(212, 284)(213, 285)(214, 286)(215, 287)(216, 288)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 163)(7, 165)(8, 146)(9, 150)(10, 166)(11, 167)(12, 170)(13, 160)(14, 148)(15, 169)(16, 171)(17, 149)(18, 179)(19, 181)(20, 162)(21, 168)(22, 183)(23, 152)(24, 184)(25, 153)(26, 159)(27, 155)(28, 161)(29, 175)(30, 157)(31, 185)(32, 158)(33, 176)(34, 193)(35, 195)(36, 178)(37, 182)(38, 197)(39, 164)(40, 180)(41, 172)(42, 188)(43, 173)(44, 191)(45, 174)(46, 189)(47, 177)(48, 205)(49, 207)(50, 192)(51, 196)(52, 209)(53, 194)(54, 200)(55, 186)(56, 203)(57, 187)(58, 201)(59, 190)(60, 211)(61, 215)(62, 204)(63, 208)(64, 216)(65, 206)(66, 198)(67, 214)(68, 199)(69, 212)(70, 202)(71, 213)(72, 210)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 16, 48 ), ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ) }
Outer automorphisms :: reflexible
Dual of E28.1949
Graph:: simple bipartite
	v = 78 e = 144 f = 12
	degree seq :: [ 2^72, 24^6 ]

E28.1951 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 12, 24})
Quotient :: dipole
Aut^+ = C3 x (C3 : C8) (small group id <72, 12>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-3 * Y1, Y3^-2 * Y1 * Y3^2 * Y1^-1, Y1^2 * Y3 * Y1 * Y3 * Y1^2, Y3^-3 * Y1^-1 * Y3^-2 * Y1^-2 * Y3^-1, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 18, 90, 43, 115, 55, 127, 70, 142, 58, 130, 28, 100, 36, 108, 13, 85, 4, 76)(3, 75, 9, 81, 27, 99, 39, 111, 14, 86, 38, 110, 48, 120, 20, 92, 47, 119, 61, 133, 31, 103, 11, 83)(5, 77, 15, 87, 41, 113, 44, 116, 65, 137, 35, 107, 51, 123, 23, 95, 7, 79, 21, 93, 42, 114, 16, 88)(8, 80, 24, 96, 53, 125, 64, 136, 34, 106, 12, 84, 33, 105, 46, 118, 19, 91, 37, 109, 54, 126, 25, 97)(10, 82, 22, 94, 45, 117, 63, 135, 32, 104, 52, 124, 69, 141, 57, 129, 67, 139, 72, 144, 60, 132, 30, 102)(17, 89, 26, 98, 49, 121, 68, 140, 56, 128, 62, 134, 71, 143, 59, 131, 29, 101, 50, 122, 66, 138, 40, 112)(145, 217)(146, 218)(147, 219)(148, 220)(149, 221)(150, 222)(151, 223)(152, 224)(153, 225)(154, 226)(155, 227)(156, 228)(157, 229)(158, 230)(159, 231)(160, 232)(161, 233)(162, 234)(163, 235)(164, 236)(165, 237)(166, 238)(167, 239)(168, 240)(169, 241)(170, 242)(171, 243)(172, 244)(173, 245)(174, 246)(175, 247)(176, 248)(177, 249)(178, 250)(179, 251)(180, 252)(181, 253)(182, 254)(183, 255)(184, 256)(185, 257)(186, 258)(187, 259)(188, 260)(189, 261)(190, 262)(191, 263)(192, 264)(193, 265)(194, 266)(195, 267)(196, 268)(197, 269)(198, 270)(199, 271)(200, 272)(201, 273)(202, 274)(203, 275)(204, 276)(205, 277)(206, 278)(207, 279)(208, 280)(209, 281)(210, 282)(211, 283)(212, 284)(213, 285)(214, 286)(215, 287)(216, 288)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 163)(7, 166)(8, 146)(9, 172)(10, 168)(11, 170)(12, 174)(13, 179)(14, 148)(15, 173)(16, 176)(17, 149)(18, 183)(19, 189)(20, 150)(21, 180)(22, 191)(23, 193)(24, 194)(25, 196)(26, 152)(27, 200)(28, 197)(29, 153)(30, 159)(31, 199)(32, 155)(33, 202)(34, 161)(35, 204)(36, 205)(37, 157)(38, 203)(39, 207)(40, 158)(41, 201)(42, 206)(43, 160)(44, 162)(45, 209)(46, 212)(47, 210)(48, 213)(49, 164)(50, 165)(51, 214)(52, 167)(53, 211)(54, 215)(55, 169)(56, 208)(57, 171)(58, 185)(59, 177)(60, 182)(61, 216)(62, 175)(63, 178)(64, 187)(65, 184)(66, 181)(67, 186)(68, 188)(69, 190)(70, 192)(71, 195)(72, 198)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 16, 48 ), ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ) }
Outer automorphisms :: reflexible
Dual of E28.1948
Graph:: simple bipartite
	v = 78 e = 144 f = 12
	degree seq :: [ 2^72, 24^6 ]

E28.1952 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 24, 24})
Quotient :: edge
Aut^+ = C3 x (C3 : C8) (small group id <72, 12>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T2 * T1^-1 * T2^-1 * T1^-1, T1^6, T1^2 * T2 * T1^-1 * T2^11 ]
Map:: non-degenerate
	R = (1, 3, 10, 21, 33, 45, 57, 69, 62, 50, 38, 26, 14, 25, 37, 49, 61, 72, 60, 48, 36, 24, 13, 5)(2, 7, 17, 29, 41, 53, 65, 70, 58, 46, 34, 22, 11, 19, 31, 43, 55, 67, 66, 54, 42, 30, 18, 8)(4, 9, 20, 32, 44, 56, 68, 64, 52, 40, 28, 16, 6, 15, 27, 39, 51, 63, 71, 59, 47, 35, 23, 12)(73, 74, 78, 86, 83, 76)(75, 81, 91, 97, 87, 79)(77, 84, 94, 98, 88, 80)(82, 89, 99, 109, 103, 92)(85, 90, 100, 110, 106, 95)(93, 104, 115, 121, 111, 101)(96, 107, 118, 122, 112, 102)(105, 113, 123, 133, 127, 116)(108, 114, 124, 134, 130, 119)(117, 128, 139, 144, 135, 125)(120, 131, 142, 141, 136, 126)(129, 137, 143, 132, 138, 140)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 48^6 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E28.1954
Transitivity :: ET+
Graph:: bipartite
	v = 15 e = 72 f = 3
	degree seq :: [ 6^12, 24^3 ]

E28.1953 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 24, 24})
Quotient :: edge
Aut^+ = C3 x (C3 : C8) (small group id <72, 12>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2 * T1^-1 * T2^-2 * T1 * T2, T1^6, T2^-2 * T1^2 * T2^-1 * T1^-1 * T2^-1, T1 * T2^2 * T1^3 * T2 * T1 * T2, T2^24 ]
Map:: non-degenerate
	R = (1, 3, 10, 30, 63, 51, 58, 24, 55, 21, 54, 48, 18, 47, 68, 40, 66, 36, 64, 59, 70, 46, 17, 5)(2, 7, 22, 42, 61, 27, 60, 52, 71, 49, 67, 38, 13, 37, 45, 16, 34, 11, 32, 39, 62, 35, 26, 8)(4, 12, 31, 25, 56, 23, 43, 15, 29, 9, 28, 20, 6, 19, 50, 57, 72, 53, 69, 44, 65, 33, 41, 14)(73, 74, 78, 90, 85, 76)(75, 81, 99, 119, 105, 83)(77, 87, 114, 120, 116, 88)(79, 93, 125, 109, 118, 95)(80, 96, 129, 110, 131, 97)(82, 94, 122, 140, 117, 103)(84, 107, 123, 91, 121, 108)(86, 111, 102, 92, 124, 112)(89, 98, 100, 126, 139, 113)(101, 127, 143, 137, 142, 134)(104, 115, 130, 132, 141, 136)(106, 128, 135, 133, 144, 138)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 48^6 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E28.1955
Transitivity :: ET+
Graph:: bipartite
	v = 15 e = 72 f = 3
	degree seq :: [ 6^12, 24^3 ]

E28.1954 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 24, 24})
Quotient :: loop
Aut^+ = C3 x (C3 : C8) (small group id <72, 12>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T2 * T1^-1 * T2^-1 * T1^-1, T1^6, T1^2 * T2 * T1^-1 * T2^11 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 10, 82, 21, 93, 33, 105, 45, 117, 57, 129, 69, 141, 62, 134, 50, 122, 38, 110, 26, 98, 14, 86, 25, 97, 37, 109, 49, 121, 61, 133, 72, 144, 60, 132, 48, 120, 36, 108, 24, 96, 13, 85, 5, 77)(2, 74, 7, 79, 17, 89, 29, 101, 41, 113, 53, 125, 65, 137, 70, 142, 58, 130, 46, 118, 34, 106, 22, 94, 11, 83, 19, 91, 31, 103, 43, 115, 55, 127, 67, 139, 66, 138, 54, 126, 42, 114, 30, 102, 18, 90, 8, 80)(4, 76, 9, 81, 20, 92, 32, 104, 44, 116, 56, 128, 68, 140, 64, 136, 52, 124, 40, 112, 28, 100, 16, 88, 6, 78, 15, 87, 27, 99, 39, 111, 51, 123, 63, 135, 71, 143, 59, 131, 47, 119, 35, 107, 23, 95, 12, 84)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 84)(6, 86)(7, 75)(8, 77)(9, 91)(10, 89)(11, 76)(12, 94)(13, 90)(14, 83)(15, 79)(16, 80)(17, 99)(18, 100)(19, 97)(20, 82)(21, 104)(22, 98)(23, 85)(24, 107)(25, 87)(26, 88)(27, 109)(28, 110)(29, 93)(30, 96)(31, 92)(32, 115)(33, 113)(34, 95)(35, 118)(36, 114)(37, 103)(38, 106)(39, 101)(40, 102)(41, 123)(42, 124)(43, 121)(44, 105)(45, 128)(46, 122)(47, 108)(48, 131)(49, 111)(50, 112)(51, 133)(52, 134)(53, 117)(54, 120)(55, 116)(56, 139)(57, 137)(58, 119)(59, 142)(60, 138)(61, 127)(62, 130)(63, 125)(64, 126)(65, 143)(66, 140)(67, 144)(68, 129)(69, 136)(70, 141)(71, 132)(72, 135)
	local type(s) :: { ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1952
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 72 f = 15
	degree seq :: [ 48^3 ]

E28.1955 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 24, 24})
Quotient :: loop
Aut^+ = C3 x (C3 : C8) (small group id <72, 12>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2 * T1^-1 * T2^-2 * T1 * T2, T1^6, T2^-2 * T1^2 * T2^-1 * T1^-1 * T2^-1, T1 * T2^2 * T1^3 * T2 * T1 * T2, T2^24 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 10, 82, 30, 102, 63, 135, 51, 123, 58, 130, 24, 96, 55, 127, 21, 93, 54, 126, 48, 120, 18, 90, 47, 119, 68, 140, 40, 112, 66, 138, 36, 108, 64, 136, 59, 131, 70, 142, 46, 118, 17, 89, 5, 77)(2, 74, 7, 79, 22, 94, 42, 114, 61, 133, 27, 99, 60, 132, 52, 124, 71, 143, 49, 121, 67, 139, 38, 110, 13, 85, 37, 109, 45, 117, 16, 88, 34, 106, 11, 83, 32, 104, 39, 111, 62, 134, 35, 107, 26, 98, 8, 80)(4, 76, 12, 84, 31, 103, 25, 97, 56, 128, 23, 95, 43, 115, 15, 87, 29, 101, 9, 81, 28, 100, 20, 92, 6, 78, 19, 91, 50, 122, 57, 129, 72, 144, 53, 125, 69, 141, 44, 116, 65, 137, 33, 105, 41, 113, 14, 86)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 87)(6, 90)(7, 93)(8, 96)(9, 99)(10, 94)(11, 75)(12, 107)(13, 76)(14, 111)(15, 114)(16, 77)(17, 98)(18, 85)(19, 121)(20, 124)(21, 125)(22, 122)(23, 79)(24, 129)(25, 80)(26, 100)(27, 119)(28, 126)(29, 127)(30, 92)(31, 82)(32, 115)(33, 83)(34, 128)(35, 123)(36, 84)(37, 118)(38, 131)(39, 102)(40, 86)(41, 89)(42, 120)(43, 130)(44, 88)(45, 103)(46, 95)(47, 105)(48, 116)(49, 108)(50, 140)(51, 91)(52, 112)(53, 109)(54, 139)(55, 143)(56, 135)(57, 110)(58, 132)(59, 97)(60, 141)(61, 144)(62, 101)(63, 133)(64, 104)(65, 142)(66, 106)(67, 113)(68, 117)(69, 136)(70, 134)(71, 137)(72, 138)
	local type(s) :: { ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1953
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 72 f = 15
	degree seq :: [ 48^3 ]

E28.1956 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 24, 24})
Quotient :: dipole
Aut^+ = C3 x (C3 : C8) (small group id <72, 12>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y2^-1 * Y3 * Y2 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y2 * Y3 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y1^-2 * Y3)^2, Y1^6, Y1 * Y2 * Y3 * Y2^3 * Y1^-1 * Y3 * Y2^-4, Y1 * Y2 * Y3 * Y2^11 * Y3^-1, (Y2^-1 * Y1)^24 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 14, 86, 11, 83, 4, 76)(3, 75, 9, 81, 19, 91, 25, 97, 15, 87, 7, 79)(5, 77, 12, 84, 22, 94, 26, 98, 16, 88, 8, 80)(10, 82, 17, 89, 27, 99, 37, 109, 31, 103, 20, 92)(13, 85, 18, 90, 28, 100, 38, 110, 34, 106, 23, 95)(21, 93, 32, 104, 43, 115, 49, 121, 39, 111, 29, 101)(24, 96, 35, 107, 46, 118, 50, 122, 40, 112, 30, 102)(33, 105, 41, 113, 51, 123, 61, 133, 55, 127, 44, 116)(36, 108, 42, 114, 52, 124, 62, 134, 58, 130, 47, 119)(45, 117, 56, 128, 67, 139, 72, 144, 63, 135, 53, 125)(48, 120, 59, 131, 70, 142, 69, 141, 64, 136, 54, 126)(57, 129, 65, 137, 71, 143, 60, 132, 66, 138, 68, 140)(145, 217, 147, 219, 154, 226, 165, 237, 177, 249, 189, 261, 201, 273, 213, 285, 206, 278, 194, 266, 182, 254, 170, 242, 158, 230, 169, 241, 181, 253, 193, 265, 205, 277, 216, 288, 204, 276, 192, 264, 180, 252, 168, 240, 157, 229, 149, 221)(146, 218, 151, 223, 161, 233, 173, 245, 185, 257, 197, 269, 209, 281, 214, 286, 202, 274, 190, 262, 178, 250, 166, 238, 155, 227, 163, 235, 175, 247, 187, 259, 199, 271, 211, 283, 210, 282, 198, 270, 186, 258, 174, 246, 162, 234, 152, 224)(148, 220, 153, 225, 164, 236, 176, 248, 188, 260, 200, 272, 212, 284, 208, 280, 196, 268, 184, 256, 172, 244, 160, 232, 150, 222, 159, 231, 171, 243, 183, 255, 195, 267, 207, 279, 215, 287, 203, 275, 191, 263, 179, 251, 167, 239, 156, 228)
	L = (1, 148)(2, 145)(3, 151)(4, 155)(5, 152)(6, 146)(7, 159)(8, 160)(9, 147)(10, 164)(11, 158)(12, 149)(13, 167)(14, 150)(15, 169)(16, 170)(17, 154)(18, 157)(19, 153)(20, 175)(21, 173)(22, 156)(23, 178)(24, 174)(25, 163)(26, 166)(27, 161)(28, 162)(29, 183)(30, 184)(31, 181)(32, 165)(33, 188)(34, 182)(35, 168)(36, 191)(37, 171)(38, 172)(39, 193)(40, 194)(41, 177)(42, 180)(43, 176)(44, 199)(45, 197)(46, 179)(47, 202)(48, 198)(49, 187)(50, 190)(51, 185)(52, 186)(53, 207)(54, 208)(55, 205)(56, 189)(57, 212)(58, 206)(59, 192)(60, 215)(61, 195)(62, 196)(63, 216)(64, 213)(65, 201)(66, 204)(67, 200)(68, 210)(69, 214)(70, 203)(71, 209)(72, 211)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E28.1958
Graph:: bipartite
	v = 15 e = 144 f = 75
	degree seq :: [ 12^12, 48^3 ]

E28.1957 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 24, 24})
Quotient :: dipole
Aut^+ = C3 x (C3 : C8) (small group id <72, 12>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^-2 * Y1 * Y2^2 * Y1^-1, Y1^6, (Y2^-1 * R * Y2^-1)^2, Y3 * Y2^2 * Y3^-1 * Y2^-2, Y2^2 * Y3 * Y2 * Y3^-1 * Y2 * Y1^-1, Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-2, Y3 * Y2^-1 * Y1 * Y2^-2 * Y3^-1 * Y2^-1, Y1 * Y3^-1 * Y1 * Y2 * Y3^-2 * Y1 * Y2^-1, Y1^2 * Y2^-1 * Y1^2 * Y3^-1 * Y2 * Y3^-1, Y3 * Y2 * Y1^2 * Y3^-1 * Y2^-1 * Y1^-2, Y1 * Y2^2 * Y3^-1 * Y1^2 * Y2 * Y3^-1 * Y2, Y2^24, Y2^-1 * Y3 * Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 18, 90, 13, 85, 4, 76)(3, 75, 9, 81, 27, 99, 47, 119, 33, 105, 11, 83)(5, 77, 15, 87, 42, 114, 48, 120, 44, 116, 16, 88)(7, 79, 21, 93, 53, 125, 37, 109, 46, 118, 23, 95)(8, 80, 24, 96, 57, 129, 38, 110, 59, 131, 25, 97)(10, 82, 22, 94, 50, 122, 68, 140, 45, 117, 31, 103)(12, 84, 35, 107, 51, 123, 19, 91, 49, 121, 36, 108)(14, 86, 39, 111, 30, 102, 20, 92, 52, 124, 40, 112)(17, 89, 26, 98, 28, 100, 54, 126, 67, 139, 41, 113)(29, 101, 55, 127, 71, 143, 65, 137, 70, 142, 62, 134)(32, 104, 43, 115, 58, 130, 60, 132, 69, 141, 64, 136)(34, 106, 56, 128, 63, 135, 61, 133, 72, 144, 66, 138)(145, 217, 147, 219, 154, 226, 174, 246, 207, 279, 195, 267, 202, 274, 168, 240, 199, 271, 165, 237, 198, 270, 192, 264, 162, 234, 191, 263, 212, 284, 184, 256, 210, 282, 180, 252, 208, 280, 203, 275, 214, 286, 190, 262, 161, 233, 149, 221)(146, 218, 151, 223, 166, 238, 186, 258, 205, 277, 171, 243, 204, 276, 196, 268, 215, 287, 193, 265, 211, 283, 182, 254, 157, 229, 181, 253, 189, 261, 160, 232, 178, 250, 155, 227, 176, 248, 183, 255, 206, 278, 179, 251, 170, 242, 152, 224)(148, 220, 156, 228, 175, 247, 169, 241, 200, 272, 167, 239, 187, 259, 159, 231, 173, 245, 153, 225, 172, 244, 164, 236, 150, 222, 163, 235, 194, 266, 201, 273, 216, 288, 197, 269, 213, 285, 188, 260, 209, 281, 177, 249, 185, 257, 158, 230)
	L = (1, 148)(2, 145)(3, 155)(4, 157)(5, 160)(6, 146)(7, 167)(8, 169)(9, 147)(10, 175)(11, 177)(12, 180)(13, 162)(14, 184)(15, 149)(16, 188)(17, 185)(18, 150)(19, 195)(20, 174)(21, 151)(22, 154)(23, 190)(24, 152)(25, 203)(26, 161)(27, 153)(28, 170)(29, 206)(30, 183)(31, 189)(32, 208)(33, 191)(34, 210)(35, 156)(36, 193)(37, 197)(38, 201)(39, 158)(40, 196)(41, 211)(42, 159)(43, 176)(44, 192)(45, 212)(46, 181)(47, 171)(48, 186)(49, 163)(50, 166)(51, 179)(52, 164)(53, 165)(54, 172)(55, 173)(56, 178)(57, 168)(58, 187)(59, 182)(60, 202)(61, 207)(62, 214)(63, 200)(64, 213)(65, 215)(66, 216)(67, 198)(68, 194)(69, 204)(70, 209)(71, 199)(72, 205)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E28.1959
Graph:: bipartite
	v = 15 e = 144 f = 75
	degree seq :: [ 12^12, 48^3 ]

E28.1958 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 24, 24})
Quotient :: dipole
Aut^+ = C3 x (C3 : C8) (small group id <72, 12>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3 * Y1 * Y3 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^6, (Y3 * Y2^-1)^6, Y1^9 * Y3^-2 * Y1^2 * Y3^-1 * Y1 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 14, 86, 25, 97, 37, 109, 49, 121, 61, 133, 67, 139, 55, 127, 43, 115, 31, 103, 19, 91, 30, 102, 42, 114, 54, 126, 66, 138, 72, 144, 60, 132, 48, 120, 36, 108, 24, 96, 12, 84, 4, 76)(3, 75, 8, 80, 15, 87, 27, 99, 38, 110, 51, 123, 62, 134, 70, 142, 58, 130, 46, 118, 34, 106, 22, 94, 13, 85, 17, 89, 29, 101, 40, 112, 53, 125, 64, 136, 69, 141, 57, 129, 45, 117, 33, 105, 21, 93, 10, 82)(5, 77, 7, 79, 16, 88, 26, 98, 39, 111, 50, 122, 63, 135, 68, 140, 56, 128, 44, 116, 32, 104, 20, 92, 9, 81, 18, 90, 28, 100, 41, 113, 52, 124, 65, 137, 71, 143, 59, 131, 47, 119, 35, 107, 23, 95, 11, 83)(145, 217)(146, 218)(147, 219)(148, 220)(149, 221)(150, 222)(151, 223)(152, 224)(153, 225)(154, 226)(155, 227)(156, 228)(157, 229)(158, 230)(159, 231)(160, 232)(161, 233)(162, 234)(163, 235)(164, 236)(165, 237)(166, 238)(167, 239)(168, 240)(169, 241)(170, 242)(171, 243)(172, 244)(173, 245)(174, 246)(175, 247)(176, 248)(177, 249)(178, 250)(179, 251)(180, 252)(181, 253)(182, 254)(183, 255)(184, 256)(185, 257)(186, 258)(187, 259)(188, 260)(189, 261)(190, 262)(191, 263)(192, 264)(193, 265)(194, 266)(195, 267)(196, 268)(197, 269)(198, 270)(199, 271)(200, 272)(201, 273)(202, 274)(203, 275)(204, 276)(205, 277)(206, 278)(207, 279)(208, 280)(209, 281)(210, 282)(211, 283)(212, 284)(213, 285)(214, 286)(215, 287)(216, 288)
	L = (1, 147)(2, 151)(3, 153)(4, 155)(5, 145)(6, 159)(7, 161)(8, 146)(9, 163)(10, 148)(11, 166)(12, 165)(13, 149)(14, 170)(15, 172)(16, 150)(17, 174)(18, 152)(19, 157)(20, 154)(21, 176)(22, 175)(23, 156)(24, 179)(25, 182)(26, 184)(27, 158)(28, 186)(29, 160)(30, 162)(31, 164)(32, 187)(33, 168)(34, 167)(35, 190)(36, 189)(37, 194)(38, 196)(39, 169)(40, 198)(41, 171)(42, 173)(43, 178)(44, 177)(45, 200)(46, 199)(47, 180)(48, 203)(49, 206)(50, 208)(51, 181)(52, 210)(53, 183)(54, 185)(55, 188)(56, 211)(57, 192)(58, 191)(59, 214)(60, 213)(61, 212)(62, 215)(63, 193)(64, 216)(65, 195)(66, 197)(67, 202)(68, 201)(69, 207)(70, 205)(71, 204)(72, 209)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 12, 48 ), ( 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48 ) }
Outer automorphisms :: reflexible
Dual of E28.1956
Graph:: simple bipartite
	v = 75 e = 144 f = 15
	degree seq :: [ 2^72, 48^3 ]

E28.1959 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 24, 24})
Quotient :: dipole
Aut^+ = C3 x (C3 : C8) (small group id <72, 12>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^6, Y1 * Y3^-1 * Y1^-2 * Y3 * Y1, Y1 * Y3^-2 * Y1^3 * Y3, Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1^-1, Y3^-3 * Y1 * Y3^-3 * Y1^-1, (Y3 * Y2^-1)^6, Y1^24 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 18, 90, 47, 119, 61, 133, 65, 137, 32, 104, 53, 125, 27, 99, 49, 121, 62, 134, 30, 102, 51, 123, 69, 141, 44, 116, 57, 129, 42, 114, 55, 127, 66, 138, 67, 139, 37, 109, 13, 85, 4, 76)(3, 75, 9, 81, 19, 91, 35, 107, 52, 124, 22, 94, 50, 122, 63, 135, 72, 144, 60, 132, 68, 140, 46, 118, 17, 89, 45, 117, 39, 111, 14, 86, 25, 97, 8, 80, 24, 96, 43, 115, 54, 126, 41, 113, 33, 105, 11, 83)(5, 77, 15, 87, 20, 92, 34, 106, 56, 128, 28, 100, 36, 108, 12, 84, 23, 95, 7, 79, 21, 93, 31, 103, 10, 82, 29, 101, 48, 120, 64, 136, 71, 143, 59, 131, 70, 142, 40, 112, 58, 130, 26, 98, 38, 110, 16, 88)(145, 217)(146, 218)(147, 219)(148, 220)(149, 221)(150, 222)(151, 223)(152, 224)(153, 225)(154, 226)(155, 227)(156, 228)(157, 229)(158, 230)(159, 231)(160, 232)(161, 233)(162, 234)(163, 235)(164, 236)(165, 237)(166, 238)(167, 239)(168, 240)(169, 241)(170, 242)(171, 243)(172, 244)(173, 245)(174, 246)(175, 247)(176, 248)(177, 249)(178, 250)(179, 251)(180, 252)(181, 253)(182, 254)(183, 255)(184, 256)(185, 257)(186, 258)(187, 259)(188, 260)(189, 261)(190, 262)(191, 263)(192, 264)(193, 265)(194, 266)(195, 267)(196, 268)(197, 269)(198, 270)(199, 271)(200, 272)(201, 273)(202, 274)(203, 275)(204, 276)(205, 277)(206, 278)(207, 279)(208, 280)(209, 281)(210, 282)(211, 283)(212, 284)(213, 285)(214, 286)(215, 287)(216, 288)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 163)(7, 166)(8, 146)(9, 171)(10, 174)(11, 176)(12, 179)(13, 177)(14, 148)(15, 185)(16, 187)(17, 149)(18, 175)(19, 192)(20, 150)(21, 193)(22, 195)(23, 197)(24, 180)(25, 200)(26, 152)(27, 203)(28, 153)(29, 204)(30, 161)(31, 207)(32, 208)(33, 165)(34, 155)(35, 206)(36, 209)(37, 172)(38, 157)(39, 164)(40, 158)(41, 205)(42, 159)(43, 162)(44, 160)(45, 181)(46, 210)(47, 196)(48, 213)(49, 212)(50, 214)(51, 170)(52, 215)(53, 216)(54, 167)(55, 168)(56, 191)(57, 169)(58, 211)(59, 189)(60, 186)(61, 173)(62, 184)(63, 188)(64, 190)(65, 194)(66, 178)(67, 198)(68, 182)(69, 183)(70, 199)(71, 201)(72, 202)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 12, 48 ), ( 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48 ) }
Outer automorphisms :: reflexible
Dual of E28.1957
Graph:: simple bipartite
	v = 75 e = 144 f = 15
	degree seq :: [ 2^72, 48^3 ]

E28.1960 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 24, 24})
Quotient :: edge
Aut^+ = C24 x C3 (small group id <72, 14>)
Aut   = (C24 x C3) : C2 (small group id <144, 88>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^6, T1^3 * T2^12 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 31, 43, 55, 67, 62, 50, 38, 26, 14, 25, 37, 49, 61, 72, 60, 48, 36, 24, 13, 5)(2, 7, 17, 29, 41, 53, 65, 70, 58, 46, 34, 22, 11, 21, 33, 45, 57, 69, 66, 54, 42, 30, 18, 8)(4, 10, 20, 32, 44, 56, 68, 64, 52, 40, 28, 16, 6, 15, 27, 39, 51, 63, 71, 59, 47, 35, 23, 12)(73, 74, 78, 86, 83, 76)(75, 79, 87, 97, 93, 82)(77, 80, 88, 98, 94, 84)(81, 89, 99, 109, 105, 92)(85, 90, 100, 110, 106, 95)(91, 101, 111, 121, 117, 104)(96, 102, 112, 122, 118, 107)(103, 113, 123, 133, 129, 116)(108, 114, 124, 134, 130, 119)(115, 125, 135, 144, 141, 128)(120, 126, 136, 139, 142, 131)(127, 137, 143, 132, 138, 140)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 48^6 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E28.1961
Transitivity :: ET+
Graph:: bipartite
	v = 15 e = 72 f = 3
	degree seq :: [ 6^12, 24^3 ]

E28.1961 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 24, 24})
Quotient :: loop
Aut^+ = C24 x C3 (small group id <72, 14>)
Aut   = (C24 x C3) : C2 (small group id <144, 88>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^6, T1^3 * T2^12 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 9, 81, 19, 91, 31, 103, 43, 115, 55, 127, 67, 139, 62, 134, 50, 122, 38, 110, 26, 98, 14, 86, 25, 97, 37, 109, 49, 121, 61, 133, 72, 144, 60, 132, 48, 120, 36, 108, 24, 96, 13, 85, 5, 77)(2, 74, 7, 79, 17, 89, 29, 101, 41, 113, 53, 125, 65, 137, 70, 142, 58, 130, 46, 118, 34, 106, 22, 94, 11, 83, 21, 93, 33, 105, 45, 117, 57, 129, 69, 141, 66, 138, 54, 126, 42, 114, 30, 102, 18, 90, 8, 80)(4, 76, 10, 82, 20, 92, 32, 104, 44, 116, 56, 128, 68, 140, 64, 136, 52, 124, 40, 112, 28, 100, 16, 88, 6, 78, 15, 87, 27, 99, 39, 111, 51, 123, 63, 135, 71, 143, 59, 131, 47, 119, 35, 107, 23, 95, 12, 84)
	L = (1, 74)(2, 78)(3, 79)(4, 73)(5, 80)(6, 86)(7, 87)(8, 88)(9, 89)(10, 75)(11, 76)(12, 77)(13, 90)(14, 83)(15, 97)(16, 98)(17, 99)(18, 100)(19, 101)(20, 81)(21, 82)(22, 84)(23, 85)(24, 102)(25, 93)(26, 94)(27, 109)(28, 110)(29, 111)(30, 112)(31, 113)(32, 91)(33, 92)(34, 95)(35, 96)(36, 114)(37, 105)(38, 106)(39, 121)(40, 122)(41, 123)(42, 124)(43, 125)(44, 103)(45, 104)(46, 107)(47, 108)(48, 126)(49, 117)(50, 118)(51, 133)(52, 134)(53, 135)(54, 136)(55, 137)(56, 115)(57, 116)(58, 119)(59, 120)(60, 138)(61, 129)(62, 130)(63, 144)(64, 139)(65, 143)(66, 140)(67, 142)(68, 127)(69, 128)(70, 131)(71, 132)(72, 141)
	local type(s) :: { ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.1960
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 72 f = 15
	degree seq :: [ 48^3 ]

E28.1962 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 24, 24})
Quotient :: dipole
Aut^+ = C24 x C3 (small group id <72, 14>)
Aut   = (C24 x C3) : C2 (small group id <144, 88>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2, Y1^-1), (Y3^-1, Y2^-1), Y1^-6, Y1^6, Y2^12 * Y1^3, Y3^24 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 14, 86, 11, 83, 4, 76)(3, 75, 7, 79, 15, 87, 25, 97, 21, 93, 10, 82)(5, 77, 8, 80, 16, 88, 26, 98, 22, 94, 12, 84)(9, 81, 17, 89, 27, 99, 37, 109, 33, 105, 20, 92)(13, 85, 18, 90, 28, 100, 38, 110, 34, 106, 23, 95)(19, 91, 29, 101, 39, 111, 49, 121, 45, 117, 32, 104)(24, 96, 30, 102, 40, 112, 50, 122, 46, 118, 35, 107)(31, 103, 41, 113, 51, 123, 61, 133, 57, 129, 44, 116)(36, 108, 42, 114, 52, 124, 62, 134, 58, 130, 47, 119)(43, 115, 53, 125, 63, 135, 72, 144, 69, 141, 56, 128)(48, 120, 54, 126, 64, 136, 67, 139, 70, 142, 59, 131)(55, 127, 65, 137, 71, 143, 60, 132, 66, 138, 68, 140)(145, 217, 147, 219, 153, 225, 163, 235, 175, 247, 187, 259, 199, 271, 211, 283, 206, 278, 194, 266, 182, 254, 170, 242, 158, 230, 169, 241, 181, 253, 193, 265, 205, 277, 216, 288, 204, 276, 192, 264, 180, 252, 168, 240, 157, 229, 149, 221)(146, 218, 151, 223, 161, 233, 173, 245, 185, 257, 197, 269, 209, 281, 214, 286, 202, 274, 190, 262, 178, 250, 166, 238, 155, 227, 165, 237, 177, 249, 189, 261, 201, 273, 213, 285, 210, 282, 198, 270, 186, 258, 174, 246, 162, 234, 152, 224)(148, 220, 154, 226, 164, 236, 176, 248, 188, 260, 200, 272, 212, 284, 208, 280, 196, 268, 184, 256, 172, 244, 160, 232, 150, 222, 159, 231, 171, 243, 183, 255, 195, 267, 207, 279, 215, 287, 203, 275, 191, 263, 179, 251, 167, 239, 156, 228)
	L = (1, 148)(2, 145)(3, 154)(4, 155)(5, 156)(6, 146)(7, 147)(8, 149)(9, 164)(10, 165)(11, 158)(12, 166)(13, 167)(14, 150)(15, 151)(16, 152)(17, 153)(18, 157)(19, 176)(20, 177)(21, 169)(22, 170)(23, 178)(24, 179)(25, 159)(26, 160)(27, 161)(28, 162)(29, 163)(30, 168)(31, 188)(32, 189)(33, 181)(34, 182)(35, 190)(36, 191)(37, 171)(38, 172)(39, 173)(40, 174)(41, 175)(42, 180)(43, 200)(44, 201)(45, 193)(46, 194)(47, 202)(48, 203)(49, 183)(50, 184)(51, 185)(52, 186)(53, 187)(54, 192)(55, 212)(56, 213)(57, 205)(58, 206)(59, 214)(60, 215)(61, 195)(62, 196)(63, 197)(64, 198)(65, 199)(66, 204)(67, 208)(68, 210)(69, 216)(70, 211)(71, 209)(72, 207)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E28.1963
Graph:: bipartite
	v = 15 e = 144 f = 75
	degree seq :: [ 12^12, 48^3 ]

E28.1963 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 24, 24})
Quotient :: dipole
Aut^+ = C24 x C3 (small group id <72, 14>)
Aut   = (C24 x C3) : C2 (small group id <144, 88>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), Y3^6, Y3^6, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^6, Y1^12 * Y3^3 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 14, 86, 25, 97, 37, 109, 49, 121, 61, 133, 67, 139, 55, 127, 43, 115, 31, 103, 19, 91, 30, 102, 42, 114, 54, 126, 66, 138, 70, 142, 58, 130, 46, 118, 34, 106, 22, 94, 11, 83, 4, 76)(3, 75, 7, 79, 15, 87, 26, 98, 38, 110, 50, 122, 62, 134, 72, 144, 60, 132, 48, 120, 36, 108, 24, 96, 13, 85, 18, 90, 29, 101, 41, 113, 53, 125, 65, 137, 69, 141, 57, 129, 45, 117, 33, 105, 21, 93, 10, 82)(5, 77, 8, 80, 16, 88, 27, 99, 39, 111, 51, 123, 63, 135, 68, 140, 56, 128, 44, 116, 32, 104, 20, 92, 9, 81, 17, 89, 28, 100, 40, 112, 52, 124, 64, 136, 71, 143, 59, 131, 47, 119, 35, 107, 23, 95, 12, 84)(145, 217)(146, 218)(147, 219)(148, 220)(149, 221)(150, 222)(151, 223)(152, 224)(153, 225)(154, 226)(155, 227)(156, 228)(157, 229)(158, 230)(159, 231)(160, 232)(161, 233)(162, 234)(163, 235)(164, 236)(165, 237)(166, 238)(167, 239)(168, 240)(169, 241)(170, 242)(171, 243)(172, 244)(173, 245)(174, 246)(175, 247)(176, 248)(177, 249)(178, 250)(179, 251)(180, 252)(181, 253)(182, 254)(183, 255)(184, 256)(185, 257)(186, 258)(187, 259)(188, 260)(189, 261)(190, 262)(191, 263)(192, 264)(193, 265)(194, 266)(195, 267)(196, 268)(197, 269)(198, 270)(199, 271)(200, 272)(201, 273)(202, 274)(203, 275)(204, 276)(205, 277)(206, 278)(207, 279)(208, 280)(209, 281)(210, 282)(211, 283)(212, 284)(213, 285)(214, 286)(215, 287)(216, 288)
	L = (1, 147)(2, 151)(3, 153)(4, 154)(5, 145)(6, 159)(7, 161)(8, 146)(9, 163)(10, 164)(11, 165)(12, 148)(13, 149)(14, 170)(15, 172)(16, 150)(17, 174)(18, 152)(19, 157)(20, 175)(21, 176)(22, 177)(23, 155)(24, 156)(25, 182)(26, 184)(27, 158)(28, 186)(29, 160)(30, 162)(31, 168)(32, 187)(33, 188)(34, 189)(35, 166)(36, 167)(37, 194)(38, 196)(39, 169)(40, 198)(41, 171)(42, 173)(43, 180)(44, 199)(45, 200)(46, 201)(47, 178)(48, 179)(49, 206)(50, 208)(51, 181)(52, 210)(53, 183)(54, 185)(55, 192)(56, 211)(57, 212)(58, 213)(59, 190)(60, 191)(61, 216)(62, 215)(63, 193)(64, 214)(65, 195)(66, 197)(67, 204)(68, 205)(69, 207)(70, 209)(71, 202)(72, 203)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 12, 48 ), ( 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48 ) }
Outer automorphisms :: reflexible
Dual of E28.1962
Graph:: simple bipartite
	v = 75 e = 144 f = 15
	degree seq :: [ 2^72, 48^3 ]

E28.1964 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 18, 36})
Quotient :: edge
Aut^+ = C9 x D8 (small group id <72, 10>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1 * T2 * T1^-2 * T2^-1 * T1, T2^2 * T1 * T2^-2 * T1^-1, T1^6, T2^-1 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1, T2^2 * T1^-1 * T2^4 * T1^-1, T1^-1 * T2^-1 * T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 10, 29, 46, 20, 6, 19, 44, 68, 60, 35, 13, 32, 57, 40, 17, 5)(2, 7, 22, 49, 65, 42, 18, 41, 64, 62, 37, 14, 4, 12, 30, 54, 26, 8)(9, 27, 55, 69, 45, 67, 43, 66, 63, 39, 16, 33, 11, 31, 56, 38, 15, 28)(21, 47, 70, 61, 36, 59, 34, 58, 72, 53, 25, 51, 23, 50, 71, 52, 24, 48)(73, 74, 78, 90, 85, 76)(75, 81, 91, 115, 104, 83)(77, 87, 92, 117, 107, 88)(79, 93, 113, 106, 84, 95)(80, 96, 114, 108, 86, 97)(82, 94, 116, 136, 129, 102)(89, 98, 118, 137, 132, 109)(99, 119, 138, 130, 103, 122)(100, 120, 139, 131, 105, 123)(101, 127, 140, 135, 112, 128)(110, 124, 141, 133, 111, 125)(121, 142, 134, 144, 126, 143)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 72^6 ), ( 72^18 ) }
Outer automorphisms :: reflexible
Dual of E28.1972
Transitivity :: ET+
Graph:: bipartite
	v = 16 e = 72 f = 2
	degree seq :: [ 6^12, 18^4 ]

E28.1965 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 18, 36})
Quotient :: edge
Aut^+ = C9 x D8 (small group id <72, 10>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-2 * T1^-1 * T2^2 * T1, T2 * T1^2 * T2^-1 * T1^-2, T1^6, T2 * T1 * T2^4 * T1 * T2, T2 * T1^-1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1, T2^-1 * T1^-1 * T2 * T1 * T2 * T1 * T2^-1 * T1^-1, T2^-2 * T1^-2 * T2^-4, (T1^-1 * T2^-1)^36 ]
Map:: non-degenerate
	R = (1, 3, 10, 29, 56, 35, 13, 32, 59, 69, 46, 20, 6, 19, 44, 40, 17, 5)(2, 7, 22, 49, 37, 14, 4, 12, 30, 58, 65, 42, 18, 41, 64, 54, 26, 8)(9, 27, 55, 39, 16, 33, 11, 31, 57, 68, 45, 67, 43, 66, 63, 38, 15, 28)(21, 47, 70, 53, 25, 51, 23, 50, 71, 62, 36, 61, 34, 60, 72, 52, 24, 48)(73, 74, 78, 90, 85, 76)(75, 81, 91, 115, 104, 83)(77, 87, 92, 117, 107, 88)(79, 93, 113, 106, 84, 95)(80, 96, 114, 108, 86, 97)(82, 94, 116, 136, 131, 102)(89, 98, 118, 137, 128, 109)(99, 119, 138, 132, 103, 122)(100, 120, 139, 133, 105, 123)(101, 127, 112, 135, 141, 129)(110, 124, 140, 134, 111, 125)(121, 142, 126, 144, 130, 143)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 72^6 ), ( 72^18 ) }
Outer automorphisms :: reflexible
Dual of E28.1973
Transitivity :: ET+
Graph:: bipartite
	v = 16 e = 72 f = 2
	degree seq :: [ 6^12, 18^4 ]

E28.1966 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 18, 36})
Quotient :: edge
Aut^+ = C9 x D8 (small group id <72, 10>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2^4 * T1^-1, T2 * T1 * T2^-2 * T1^-1 * T2, T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1, (T1, T2^-1)^2, T1^-2 * T2^-1 * T1^-3 * T2^-1 * T1^-3, (T2^-1 * T1^-1)^6, T2^-1 * T1^-3 * T2^-1 * T1^13 ]
Map:: non-degenerate
	R = (1, 3, 10, 20, 6, 19, 42, 59, 38, 58, 70, 67, 56, 35, 50, 32, 48, 25, 47, 23, 46, 24, 45, 21, 44, 62, 72, 60, 52, 65, 55, 34, 13, 30, 17, 5)(2, 7, 22, 40, 18, 39, 61, 69, 57, 54, 66, 49, 37, 16, 31, 11, 29, 15, 28, 9, 27, 43, 64, 41, 63, 71, 68, 53, 33, 51, 36, 14, 4, 12, 26, 8)(73, 74, 78, 90, 110, 129, 128, 109, 120, 101, 118, 99, 116, 135, 124, 105, 85, 76)(75, 81, 91, 113, 130, 125, 107, 86, 97, 80, 96, 112, 134, 141, 137, 121, 102, 83)(77, 87, 92, 115, 131, 143, 139, 123, 104, 84, 95, 79, 93, 111, 132, 126, 106, 88)(82, 94, 114, 133, 142, 138, 122, 103, 119, 100, 117, 136, 144, 140, 127, 108, 89, 98)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12^18 ), ( 12^36 ) }
Outer automorphisms :: reflexible
Dual of E28.1975
Transitivity :: ET+
Graph:: bipartite
	v = 6 e = 72 f = 12
	degree seq :: [ 18^4, 36^2 ]

E28.1967 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 18, 36})
Quotient :: edge
Aut^+ = C9 x D8 (small group id <72, 10>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2 * T1^-1 * T2 * T1^-3, T2 * T1^2 * T2^-1 * T1^-2, T2^2 * T1 * T2^-2 * T1^-1, (T2, T1^-1)^2, T1^-1 * T2^-2 * T1^-1 * T2^-6, (T2^-1 * T1^-1)^6, T2 * T1 * T2 * T1^13 ]
Map:: non-degenerate
	R = (1, 3, 10, 29, 50, 66, 52, 33, 13, 24, 44, 21, 43, 61, 72, 63, 47, 25, 46, 23, 38, 57, 69, 68, 53, 34, 42, 20, 6, 19, 41, 60, 56, 37, 17, 5)(2, 7, 22, 45, 62, 54, 35, 14, 4, 12, 30, 40, 59, 71, 67, 51, 32, 15, 28, 9, 27, 49, 65, 55, 36, 16, 31, 11, 18, 39, 58, 70, 64, 48, 26, 8)(73, 74, 78, 90, 110, 99, 115, 131, 122, 134, 128, 136, 125, 108, 119, 104, 85, 76)(75, 81, 91, 112, 129, 117, 133, 142, 138, 127, 109, 123, 106, 86, 97, 80, 96, 83)(77, 87, 92, 84, 95, 79, 93, 111, 101, 121, 132, 143, 140, 126, 135, 120, 105, 88)(82, 94, 113, 130, 141, 137, 144, 139, 124, 107, 89, 98, 114, 103, 118, 100, 116, 102)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12^18 ), ( 12^36 ) }
Outer automorphisms :: reflexible
Dual of E28.1974
Transitivity :: ET+
Graph:: bipartite
	v = 6 e = 72 f = 12
	degree seq :: [ 18^4, 36^2 ]

E28.1968 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 18, 36})
Quotient :: edge
Aut^+ = C9 x D8 (small group id <72, 10>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1 * T2^-1 * T1^-2 * T2 * T1, T2^-2 * T1 * T2^2 * T1^-1, T2^6, T1^-2 * T2 * T1^-1 * T2 * T1^-3, T2 * T1^-1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1, T2 * T1^-1 * T2 * T1^-5, T2^-1 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1, T1^-1 * T2^-1 * T1^-3 * T2^-3 * T1^-2, T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2^2 * T1^-1 * T2^2 * T1^-1 * T2^2 * T1^-1 * T2^2 * T1^-1 * T2^2 * T1^-1 * T2, T1^-1 * T2^-1 * T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 10, 29, 17, 5)(2, 7, 22, 50, 26, 8)(4, 12, 30, 57, 38, 14)(6, 19, 45, 70, 47, 20)(9, 27, 55, 39, 15, 28)(11, 31, 56, 40, 16, 33)(13, 32, 58, 65, 62, 36)(18, 42, 66, 61, 67, 43)(21, 48, 71, 53, 24, 49)(23, 51, 72, 54, 25, 52)(34, 41, 64, 63, 37, 59)(35, 46, 69, 44, 68, 60)(73, 74, 78, 90, 113, 103, 123, 99, 120, 140, 134, 110, 89, 98, 119, 139, 131, 105, 124, 100, 121, 141, 130, 102, 82, 94, 117, 138, 135, 112, 126, 111, 125, 107, 85, 76)(75, 81, 91, 116, 136, 129, 144, 122, 143, 133, 108, 88, 77, 87, 92, 118, 106, 84, 95, 79, 93, 114, 137, 128, 101, 127, 142, 132, 109, 86, 97, 80, 96, 115, 104, 83)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 36^6 ), ( 36^36 ) }
Outer automorphisms :: reflexible
Dual of E28.1971
Transitivity :: ET+
Graph:: bipartite
	v = 14 e = 72 f = 4
	degree seq :: [ 6^12, 36^2 ]

E28.1969 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 18, 36})
Quotient :: edge
Aut^+ = C9 x D8 (small group id <72, 10>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2 * T1^2 * T2^-1 * T1^-2, T2^2 * T1 * T2^-2 * T1^-1, T2^6, T2 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1, (T1^-3 * T2^-1)^2, T1^-1 * T2^2 * T1^-1 * T2 * T1^-1 * T2 * T1^-3, T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-3 * T1^-1 * T2^-3 ]
Map:: non-degenerate
	R = (1, 3, 10, 29, 17, 5)(2, 7, 22, 50, 26, 8)(4, 12, 30, 57, 38, 14)(6, 19, 45, 69, 47, 20)(9, 27, 55, 39, 15, 28)(11, 31, 56, 40, 16, 33)(13, 32, 58, 66, 63, 36)(18, 42, 65, 60, 67, 43)(21, 48, 71, 53, 24, 49)(23, 51, 72, 54, 25, 52)(34, 59, 64, 41, 37, 61)(35, 62, 70, 46, 68, 44)(73, 74, 78, 90, 113, 112, 126, 111, 125, 142, 130, 102, 82, 94, 117, 137, 133, 105, 124, 100, 121, 140, 135, 110, 89, 98, 119, 139, 131, 103, 123, 99, 120, 107, 85, 76)(75, 81, 91, 116, 109, 86, 97, 80, 96, 115, 138, 128, 101, 127, 141, 134, 106, 84, 95, 79, 93, 114, 108, 88, 77, 87, 92, 118, 136, 129, 144, 122, 143, 132, 104, 83)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 36^6 ), ( 36^36 ) }
Outer automorphisms :: reflexible
Dual of E28.1970
Transitivity :: ET+
Graph:: bipartite
	v = 14 e = 72 f = 4
	degree seq :: [ 6^12, 36^2 ]

E28.1970 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 18, 36})
Quotient :: loop
Aut^+ = C9 x D8 (small group id <72, 10>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1 * T2 * T1^-2 * T2^-1 * T1, T2^2 * T1 * T2^-2 * T1^-1, T1^6, T2^-1 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1, T2^2 * T1^-1 * T2^4 * T1^-1, T1^-1 * T2^-1 * T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 10, 82, 29, 101, 46, 118, 20, 92, 6, 78, 19, 91, 44, 116, 68, 140, 60, 132, 35, 107, 13, 85, 32, 104, 57, 129, 40, 112, 17, 89, 5, 77)(2, 74, 7, 79, 22, 94, 49, 121, 65, 137, 42, 114, 18, 90, 41, 113, 64, 136, 62, 134, 37, 109, 14, 86, 4, 76, 12, 84, 30, 102, 54, 126, 26, 98, 8, 80)(9, 81, 27, 99, 55, 127, 69, 141, 45, 117, 67, 139, 43, 115, 66, 138, 63, 135, 39, 111, 16, 88, 33, 105, 11, 83, 31, 103, 56, 128, 38, 110, 15, 87, 28, 100)(21, 93, 47, 119, 70, 142, 61, 133, 36, 108, 59, 131, 34, 106, 58, 130, 72, 144, 53, 125, 25, 97, 51, 123, 23, 95, 50, 122, 71, 143, 52, 124, 24, 96, 48, 120)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 87)(6, 90)(7, 93)(8, 96)(9, 91)(10, 94)(11, 75)(12, 95)(13, 76)(14, 97)(15, 92)(16, 77)(17, 98)(18, 85)(19, 115)(20, 117)(21, 113)(22, 116)(23, 79)(24, 114)(25, 80)(26, 118)(27, 119)(28, 120)(29, 127)(30, 82)(31, 122)(32, 83)(33, 123)(34, 84)(35, 88)(36, 86)(37, 89)(38, 124)(39, 125)(40, 128)(41, 106)(42, 108)(43, 104)(44, 136)(45, 107)(46, 137)(47, 138)(48, 139)(49, 142)(50, 99)(51, 100)(52, 141)(53, 110)(54, 143)(55, 140)(56, 101)(57, 102)(58, 103)(59, 105)(60, 109)(61, 111)(62, 144)(63, 112)(64, 129)(65, 132)(66, 130)(67, 131)(68, 135)(69, 133)(70, 134)(71, 121)(72, 126)
	local type(s) :: { ( 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.1969
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 72 f = 14
	degree seq :: [ 36^4 ]

E28.1971 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 18, 36})
Quotient :: loop
Aut^+ = C9 x D8 (small group id <72, 10>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-2 * T1^-1 * T2^2 * T1, T2 * T1^2 * T2^-1 * T1^-2, T1^6, T2 * T1 * T2^4 * T1 * T2, T2 * T1^-1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1, T2^-1 * T1^-1 * T2 * T1 * T2 * T1 * T2^-1 * T1^-1, T2^-2 * T1^-2 * T2^-4, (T1^-1 * T2^-1)^36 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 10, 82, 29, 101, 56, 128, 35, 107, 13, 85, 32, 104, 59, 131, 69, 141, 46, 118, 20, 92, 6, 78, 19, 91, 44, 116, 40, 112, 17, 89, 5, 77)(2, 74, 7, 79, 22, 94, 49, 121, 37, 109, 14, 86, 4, 76, 12, 84, 30, 102, 58, 130, 65, 137, 42, 114, 18, 90, 41, 113, 64, 136, 54, 126, 26, 98, 8, 80)(9, 81, 27, 99, 55, 127, 39, 111, 16, 88, 33, 105, 11, 83, 31, 103, 57, 129, 68, 140, 45, 117, 67, 139, 43, 115, 66, 138, 63, 135, 38, 110, 15, 87, 28, 100)(21, 93, 47, 119, 70, 142, 53, 125, 25, 97, 51, 123, 23, 95, 50, 122, 71, 143, 62, 134, 36, 108, 61, 133, 34, 106, 60, 132, 72, 144, 52, 124, 24, 96, 48, 120)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 87)(6, 90)(7, 93)(8, 96)(9, 91)(10, 94)(11, 75)(12, 95)(13, 76)(14, 97)(15, 92)(16, 77)(17, 98)(18, 85)(19, 115)(20, 117)(21, 113)(22, 116)(23, 79)(24, 114)(25, 80)(26, 118)(27, 119)(28, 120)(29, 127)(30, 82)(31, 122)(32, 83)(33, 123)(34, 84)(35, 88)(36, 86)(37, 89)(38, 124)(39, 125)(40, 135)(41, 106)(42, 108)(43, 104)(44, 136)(45, 107)(46, 137)(47, 138)(48, 139)(49, 142)(50, 99)(51, 100)(52, 140)(53, 110)(54, 144)(55, 112)(56, 109)(57, 101)(58, 143)(59, 102)(60, 103)(61, 105)(62, 111)(63, 141)(64, 131)(65, 128)(66, 132)(67, 133)(68, 134)(69, 129)(70, 126)(71, 121)(72, 130)
	local type(s) :: { ( 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.1968
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 72 f = 14
	degree seq :: [ 36^4 ]

E28.1972 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 18, 36})
Quotient :: loop
Aut^+ = C9 x D8 (small group id <72, 10>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2^4 * T1^-1, T2 * T1 * T2^-2 * T1^-1 * T2, T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1, (T1, T2^-1)^2, T1^-2 * T2^-1 * T1^-3 * T2^-1 * T1^-3, (T2^-1 * T1^-1)^6, T2^-1 * T1^-3 * T2^-1 * T1^13 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 10, 82, 20, 92, 6, 78, 19, 91, 42, 114, 59, 131, 38, 110, 58, 130, 70, 142, 67, 139, 56, 128, 35, 107, 50, 122, 32, 104, 48, 120, 25, 97, 47, 119, 23, 95, 46, 118, 24, 96, 45, 117, 21, 93, 44, 116, 62, 134, 72, 144, 60, 132, 52, 124, 65, 137, 55, 127, 34, 106, 13, 85, 30, 102, 17, 89, 5, 77)(2, 74, 7, 79, 22, 94, 40, 112, 18, 90, 39, 111, 61, 133, 69, 141, 57, 129, 54, 126, 66, 138, 49, 121, 37, 109, 16, 88, 31, 103, 11, 83, 29, 101, 15, 87, 28, 100, 9, 81, 27, 99, 43, 115, 64, 136, 41, 113, 63, 135, 71, 143, 68, 140, 53, 125, 33, 105, 51, 123, 36, 108, 14, 86, 4, 76, 12, 84, 26, 98, 8, 80)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 87)(6, 90)(7, 93)(8, 96)(9, 91)(10, 94)(11, 75)(12, 95)(13, 76)(14, 97)(15, 92)(16, 77)(17, 98)(18, 110)(19, 113)(20, 115)(21, 111)(22, 114)(23, 79)(24, 112)(25, 80)(26, 82)(27, 116)(28, 117)(29, 118)(30, 83)(31, 119)(32, 84)(33, 85)(34, 88)(35, 86)(36, 89)(37, 120)(38, 129)(39, 132)(40, 134)(41, 130)(42, 133)(43, 131)(44, 135)(45, 136)(46, 99)(47, 100)(48, 101)(49, 102)(50, 103)(51, 104)(52, 105)(53, 107)(54, 106)(55, 108)(56, 109)(57, 128)(58, 125)(59, 143)(60, 126)(61, 142)(62, 141)(63, 124)(64, 144)(65, 121)(66, 122)(67, 123)(68, 127)(69, 137)(70, 138)(71, 139)(72, 140)
	local type(s) :: { ( 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.1964
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 72 f = 16
	degree seq :: [ 72^2 ]

E28.1973 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 18, 36})
Quotient :: loop
Aut^+ = C9 x D8 (small group id <72, 10>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2 * T1^-1 * T2 * T1^-3, T2 * T1^2 * T2^-1 * T1^-2, T2^2 * T1 * T2^-2 * T1^-1, (T2, T1^-1)^2, T1^-1 * T2^-2 * T1^-1 * T2^-6, (T2^-1 * T1^-1)^6, T2 * T1 * T2 * T1^13 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 10, 82, 29, 101, 50, 122, 66, 138, 52, 124, 33, 105, 13, 85, 24, 96, 44, 116, 21, 93, 43, 115, 61, 133, 72, 144, 63, 135, 47, 119, 25, 97, 46, 118, 23, 95, 38, 110, 57, 129, 69, 141, 68, 140, 53, 125, 34, 106, 42, 114, 20, 92, 6, 78, 19, 91, 41, 113, 60, 132, 56, 128, 37, 109, 17, 89, 5, 77)(2, 74, 7, 79, 22, 94, 45, 117, 62, 134, 54, 126, 35, 107, 14, 86, 4, 76, 12, 84, 30, 102, 40, 112, 59, 131, 71, 143, 67, 139, 51, 123, 32, 104, 15, 87, 28, 100, 9, 81, 27, 99, 49, 121, 65, 137, 55, 127, 36, 108, 16, 88, 31, 103, 11, 83, 18, 90, 39, 111, 58, 130, 70, 142, 64, 136, 48, 120, 26, 98, 8, 80)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 87)(6, 90)(7, 93)(8, 96)(9, 91)(10, 94)(11, 75)(12, 95)(13, 76)(14, 97)(15, 92)(16, 77)(17, 98)(18, 110)(19, 112)(20, 84)(21, 111)(22, 113)(23, 79)(24, 83)(25, 80)(26, 114)(27, 115)(28, 116)(29, 121)(30, 82)(31, 118)(32, 85)(33, 88)(34, 86)(35, 89)(36, 119)(37, 123)(38, 99)(39, 101)(40, 129)(41, 130)(42, 103)(43, 131)(44, 102)(45, 133)(46, 100)(47, 104)(48, 105)(49, 132)(50, 134)(51, 106)(52, 107)(53, 108)(54, 135)(55, 109)(56, 136)(57, 117)(58, 141)(59, 122)(60, 143)(61, 142)(62, 128)(63, 120)(64, 125)(65, 144)(66, 127)(67, 124)(68, 126)(69, 137)(70, 138)(71, 140)(72, 139)
	local type(s) :: { ( 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.1965
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 72 f = 16
	degree seq :: [ 72^2 ]

E28.1974 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 18, 36})
Quotient :: loop
Aut^+ = C9 x D8 (small group id <72, 10>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1 * T2^-1 * T1^-2 * T2 * T1, T2^-2 * T1 * T2^2 * T1^-1, T2^6, T1^-2 * T2 * T1^-1 * T2 * T1^-3, T2 * T1^-1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1, T2 * T1^-1 * T2 * T1^-5, T2^-1 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1, T1^-1 * T2^-1 * T1^-3 * T2^-3 * T1^-2, T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2^2 * T1^-1 * T2^2 * T1^-1 * T2^2 * T1^-1 * T2^2 * T1^-1 * T2^2 * T1^-1 * T2, T1^-1 * T2^-1 * T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 10, 82, 29, 101, 17, 89, 5, 77)(2, 74, 7, 79, 22, 94, 50, 122, 26, 98, 8, 80)(4, 76, 12, 84, 30, 102, 57, 129, 38, 110, 14, 86)(6, 78, 19, 91, 45, 117, 70, 142, 47, 119, 20, 92)(9, 81, 27, 99, 55, 127, 39, 111, 15, 87, 28, 100)(11, 83, 31, 103, 56, 128, 40, 112, 16, 88, 33, 105)(13, 85, 32, 104, 58, 130, 65, 137, 62, 134, 36, 108)(18, 90, 42, 114, 66, 138, 61, 133, 67, 139, 43, 115)(21, 93, 48, 120, 71, 143, 53, 125, 24, 96, 49, 121)(23, 95, 51, 123, 72, 144, 54, 126, 25, 97, 52, 124)(34, 106, 41, 113, 64, 136, 63, 135, 37, 109, 59, 131)(35, 107, 46, 118, 69, 141, 44, 116, 68, 140, 60, 132)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 87)(6, 90)(7, 93)(8, 96)(9, 91)(10, 94)(11, 75)(12, 95)(13, 76)(14, 97)(15, 92)(16, 77)(17, 98)(18, 113)(19, 116)(20, 118)(21, 114)(22, 117)(23, 79)(24, 115)(25, 80)(26, 119)(27, 120)(28, 121)(29, 127)(30, 82)(31, 123)(32, 83)(33, 124)(34, 84)(35, 85)(36, 88)(37, 86)(38, 89)(39, 125)(40, 126)(41, 103)(42, 137)(43, 104)(44, 136)(45, 138)(46, 106)(47, 139)(48, 140)(49, 141)(50, 143)(51, 99)(52, 100)(53, 107)(54, 111)(55, 142)(56, 101)(57, 144)(58, 102)(59, 105)(60, 109)(61, 108)(62, 110)(63, 112)(64, 129)(65, 128)(66, 135)(67, 131)(68, 134)(69, 130)(70, 132)(71, 133)(72, 122)
	local type(s) :: { ( 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.1967
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 12 e = 72 f = 6
	degree seq :: [ 12^12 ]

E28.1975 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 18, 36})
Quotient :: loop
Aut^+ = C9 x D8 (small group id <72, 10>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2 * T1^2 * T2^-1 * T1^-2, T2^2 * T1 * T2^-2 * T1^-1, T2^6, T2 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1, (T1^-3 * T2^-1)^2, T1^-1 * T2^2 * T1^-1 * T2 * T1^-1 * T2 * T1^-3, T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-3 * T1^-1 * T2^-3 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 10, 82, 29, 101, 17, 89, 5, 77)(2, 74, 7, 79, 22, 94, 50, 122, 26, 98, 8, 80)(4, 76, 12, 84, 30, 102, 57, 129, 38, 110, 14, 86)(6, 78, 19, 91, 45, 117, 69, 141, 47, 119, 20, 92)(9, 81, 27, 99, 55, 127, 39, 111, 15, 87, 28, 100)(11, 83, 31, 103, 56, 128, 40, 112, 16, 88, 33, 105)(13, 85, 32, 104, 58, 130, 66, 138, 63, 135, 36, 108)(18, 90, 42, 114, 65, 137, 60, 132, 67, 139, 43, 115)(21, 93, 48, 120, 71, 143, 53, 125, 24, 96, 49, 121)(23, 95, 51, 123, 72, 144, 54, 126, 25, 97, 52, 124)(34, 106, 59, 131, 64, 136, 41, 113, 37, 109, 61, 133)(35, 107, 62, 134, 70, 142, 46, 118, 68, 140, 44, 116)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 87)(6, 90)(7, 93)(8, 96)(9, 91)(10, 94)(11, 75)(12, 95)(13, 76)(14, 97)(15, 92)(16, 77)(17, 98)(18, 113)(19, 116)(20, 118)(21, 114)(22, 117)(23, 79)(24, 115)(25, 80)(26, 119)(27, 120)(28, 121)(29, 127)(30, 82)(31, 123)(32, 83)(33, 124)(34, 84)(35, 85)(36, 88)(37, 86)(38, 89)(39, 125)(40, 126)(41, 112)(42, 108)(43, 138)(44, 109)(45, 137)(46, 136)(47, 139)(48, 107)(49, 140)(50, 143)(51, 99)(52, 100)(53, 142)(54, 111)(55, 141)(56, 101)(57, 144)(58, 102)(59, 103)(60, 104)(61, 105)(62, 106)(63, 110)(64, 129)(65, 133)(66, 128)(67, 131)(68, 135)(69, 134)(70, 130)(71, 132)(72, 122)
	local type(s) :: { ( 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.1966
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 12 e = 72 f = 6
	degree seq :: [ 12^12 ]

E28.1976 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 18, 36})
Quotient :: dipole
Aut^+ = C9 x D8 (small group id <72, 10>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * Y2^-2 * Y1 * Y2, Y3 * Y2 * Y3^-1 * Y1 * Y2^-1 * Y1^-1, Y2^-1 * Y1^2 * Y2 * Y1^-2, Y3^2 * Y2 * Y3^-2 * Y2^-1, Y2 * Y3^-1 * Y2^-2 * Y3 * Y2, (Y2^-1 * R * Y2^-1)^2, (Y1^-1 * Y3)^3, Y1^6, Y3^-1 * Y2 * Y3 * Y1^-1 * Y2^-1 * Y1, Y2^-2 * Y3 * Y2^-4 * Y1^-1, Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y3^-1, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y2^-1 * Y1 * Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, (Y2^-1 * Y3)^36 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 18, 90, 13, 85, 4, 76)(3, 75, 9, 81, 19, 91, 43, 115, 32, 104, 11, 83)(5, 77, 15, 87, 20, 92, 45, 117, 35, 107, 16, 88)(7, 79, 21, 93, 41, 113, 34, 106, 12, 84, 23, 95)(8, 80, 24, 96, 42, 114, 36, 108, 14, 86, 25, 97)(10, 82, 22, 94, 44, 116, 64, 136, 59, 131, 30, 102)(17, 89, 26, 98, 46, 118, 65, 137, 56, 128, 37, 109)(27, 99, 47, 119, 66, 138, 60, 132, 31, 103, 50, 122)(28, 100, 48, 120, 67, 139, 61, 133, 33, 105, 51, 123)(29, 101, 55, 127, 40, 112, 63, 135, 69, 141, 57, 129)(38, 110, 52, 124, 68, 140, 62, 134, 39, 111, 53, 125)(49, 121, 70, 142, 54, 126, 72, 144, 58, 130, 71, 143)(145, 217, 147, 219, 154, 226, 173, 245, 200, 272, 179, 251, 157, 229, 176, 248, 203, 275, 213, 285, 190, 262, 164, 236, 150, 222, 163, 235, 188, 260, 184, 256, 161, 233, 149, 221)(146, 218, 151, 223, 166, 238, 193, 265, 181, 253, 158, 230, 148, 220, 156, 228, 174, 246, 202, 274, 209, 281, 186, 258, 162, 234, 185, 257, 208, 280, 198, 270, 170, 242, 152, 224)(153, 225, 171, 243, 199, 271, 183, 255, 160, 232, 177, 249, 155, 227, 175, 247, 201, 273, 212, 284, 189, 261, 211, 283, 187, 259, 210, 282, 207, 279, 182, 254, 159, 231, 172, 244)(165, 237, 191, 263, 214, 286, 197, 269, 169, 241, 195, 267, 167, 239, 194, 266, 215, 287, 206, 278, 180, 252, 205, 277, 178, 250, 204, 276, 216, 288, 196, 268, 168, 240, 192, 264)
	L = (1, 148)(2, 145)(3, 155)(4, 157)(5, 160)(6, 146)(7, 167)(8, 169)(9, 147)(10, 174)(11, 176)(12, 178)(13, 162)(14, 180)(15, 149)(16, 179)(17, 181)(18, 150)(19, 153)(20, 159)(21, 151)(22, 154)(23, 156)(24, 152)(25, 158)(26, 161)(27, 194)(28, 195)(29, 201)(30, 203)(31, 204)(32, 187)(33, 205)(34, 185)(35, 189)(36, 186)(37, 200)(38, 197)(39, 206)(40, 199)(41, 165)(42, 168)(43, 163)(44, 166)(45, 164)(46, 170)(47, 171)(48, 172)(49, 215)(50, 175)(51, 177)(52, 182)(53, 183)(54, 214)(55, 173)(56, 209)(57, 213)(58, 216)(59, 208)(60, 210)(61, 211)(62, 212)(63, 184)(64, 188)(65, 190)(66, 191)(67, 192)(68, 196)(69, 207)(70, 193)(71, 202)(72, 198)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72 ), ( 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72 ) }
Outer automorphisms :: reflexible
Dual of E28.1982
Graph:: bipartite
	v = 16 e = 144 f = 74
	degree seq :: [ 12^12, 36^4 ]

E28.1977 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 18, 36})
Quotient :: dipole
Aut^+ = C9 x D8 (small group id <72, 10>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y2 * Y3 * Y1^-1 * Y2^-1 * Y1, Y3^-1 * Y2^2 * Y1^-1 * Y2^-2, Y3^-1 * Y2^-1 * Y1^-1 * Y3 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1^2 * Y2 * Y1^-2, (Y2^-1 * R * Y2^-1)^2, Y3^-1 * Y2^-2 * Y1^-1 * Y2^2, (Y1 * Y3^-1)^3, Y1^6, Y2^6 * Y3 * Y1^-1, Y2^-1 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, (Y3 * Y2^-1)^36 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 18, 90, 13, 85, 4, 76)(3, 75, 9, 81, 19, 91, 43, 115, 32, 104, 11, 83)(5, 77, 15, 87, 20, 92, 45, 117, 35, 107, 16, 88)(7, 79, 21, 93, 41, 113, 34, 106, 12, 84, 23, 95)(8, 80, 24, 96, 42, 114, 36, 108, 14, 86, 25, 97)(10, 82, 22, 94, 44, 116, 64, 136, 57, 129, 30, 102)(17, 89, 26, 98, 46, 118, 65, 137, 60, 132, 37, 109)(27, 99, 47, 119, 66, 138, 58, 130, 31, 103, 50, 122)(28, 100, 48, 120, 67, 139, 59, 131, 33, 105, 51, 123)(29, 101, 55, 127, 68, 140, 63, 135, 40, 112, 56, 128)(38, 110, 52, 124, 69, 141, 61, 133, 39, 111, 53, 125)(49, 121, 70, 142, 62, 134, 72, 144, 54, 126, 71, 143)(145, 217, 147, 219, 154, 226, 173, 245, 190, 262, 164, 236, 150, 222, 163, 235, 188, 260, 212, 284, 204, 276, 179, 251, 157, 229, 176, 248, 201, 273, 184, 256, 161, 233, 149, 221)(146, 218, 151, 223, 166, 238, 193, 265, 209, 281, 186, 258, 162, 234, 185, 257, 208, 280, 206, 278, 181, 253, 158, 230, 148, 220, 156, 228, 174, 246, 198, 270, 170, 242, 152, 224)(153, 225, 171, 243, 199, 271, 213, 285, 189, 261, 211, 283, 187, 259, 210, 282, 207, 279, 183, 255, 160, 232, 177, 249, 155, 227, 175, 247, 200, 272, 182, 254, 159, 231, 172, 244)(165, 237, 191, 263, 214, 286, 205, 277, 180, 252, 203, 275, 178, 250, 202, 274, 216, 288, 197, 269, 169, 241, 195, 267, 167, 239, 194, 266, 215, 287, 196, 268, 168, 240, 192, 264)
	L = (1, 148)(2, 145)(3, 155)(4, 157)(5, 160)(6, 146)(7, 167)(8, 169)(9, 147)(10, 174)(11, 176)(12, 178)(13, 162)(14, 180)(15, 149)(16, 179)(17, 181)(18, 150)(19, 153)(20, 159)(21, 151)(22, 154)(23, 156)(24, 152)(25, 158)(26, 161)(27, 194)(28, 195)(29, 200)(30, 201)(31, 202)(32, 187)(33, 203)(34, 185)(35, 189)(36, 186)(37, 204)(38, 197)(39, 205)(40, 207)(41, 165)(42, 168)(43, 163)(44, 166)(45, 164)(46, 170)(47, 171)(48, 172)(49, 215)(50, 175)(51, 177)(52, 182)(53, 183)(54, 216)(55, 173)(56, 184)(57, 208)(58, 210)(59, 211)(60, 209)(61, 213)(62, 214)(63, 212)(64, 188)(65, 190)(66, 191)(67, 192)(68, 199)(69, 196)(70, 193)(71, 198)(72, 206)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72 ), ( 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72 ) }
Outer automorphisms :: reflexible
Dual of E28.1983
Graph:: bipartite
	v = 16 e = 144 f = 74
	degree seq :: [ 12^12, 36^4 ]

E28.1978 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 18, 36})
Quotient :: dipole
Aut^+ = C9 x D8 (small group id <72, 10>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^2, Y2^2 * Y1 * Y2^-2 * Y1^-1, Y2^-1 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1, Y1^-1 * Y2^-2 * Y1^-1 * Y2^-6, (Y3^-1 * Y1^-1)^6, Y2 * Y1^-1 * Y2 * Y1^15 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 18, 90, 38, 110, 27, 99, 43, 115, 59, 131, 50, 122, 62, 134, 56, 128, 64, 136, 53, 125, 36, 108, 47, 119, 32, 104, 13, 85, 4, 76)(3, 75, 9, 81, 19, 91, 40, 112, 57, 129, 45, 117, 61, 133, 70, 142, 66, 138, 55, 127, 37, 109, 51, 123, 34, 106, 14, 86, 25, 97, 8, 80, 24, 96, 11, 83)(5, 77, 15, 87, 20, 92, 12, 84, 23, 95, 7, 79, 21, 93, 39, 111, 29, 101, 49, 121, 60, 132, 71, 143, 68, 140, 54, 126, 63, 135, 48, 120, 33, 105, 16, 88)(10, 82, 22, 94, 41, 113, 58, 130, 69, 141, 65, 137, 72, 144, 67, 139, 52, 124, 35, 107, 17, 89, 26, 98, 42, 114, 31, 103, 46, 118, 28, 100, 44, 116, 30, 102)(145, 217, 147, 219, 154, 226, 173, 245, 194, 266, 210, 282, 196, 268, 177, 249, 157, 229, 168, 240, 188, 260, 165, 237, 187, 259, 205, 277, 216, 288, 207, 279, 191, 263, 169, 241, 190, 262, 167, 239, 182, 254, 201, 273, 213, 285, 212, 284, 197, 269, 178, 250, 186, 258, 164, 236, 150, 222, 163, 235, 185, 257, 204, 276, 200, 272, 181, 253, 161, 233, 149, 221)(146, 218, 151, 223, 166, 238, 189, 261, 206, 278, 198, 270, 179, 251, 158, 230, 148, 220, 156, 228, 174, 246, 184, 256, 203, 275, 215, 287, 211, 283, 195, 267, 176, 248, 159, 231, 172, 244, 153, 225, 171, 243, 193, 265, 209, 281, 199, 271, 180, 252, 160, 232, 175, 247, 155, 227, 162, 234, 183, 255, 202, 274, 214, 286, 208, 280, 192, 264, 170, 242, 152, 224)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 163)(7, 166)(8, 146)(9, 171)(10, 173)(11, 162)(12, 174)(13, 168)(14, 148)(15, 172)(16, 175)(17, 149)(18, 183)(19, 185)(20, 150)(21, 187)(22, 189)(23, 182)(24, 188)(25, 190)(26, 152)(27, 193)(28, 153)(29, 194)(30, 184)(31, 155)(32, 159)(33, 157)(34, 186)(35, 158)(36, 160)(37, 161)(38, 201)(39, 202)(40, 203)(41, 204)(42, 164)(43, 205)(44, 165)(45, 206)(46, 167)(47, 169)(48, 170)(49, 209)(50, 210)(51, 176)(52, 177)(53, 178)(54, 179)(55, 180)(56, 181)(57, 213)(58, 214)(59, 215)(60, 200)(61, 216)(62, 198)(63, 191)(64, 192)(65, 199)(66, 196)(67, 195)(68, 197)(69, 212)(70, 208)(71, 211)(72, 207)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1981
Graph:: bipartite
	v = 6 e = 144 f = 84
	degree seq :: [ 36^4, 72^2 ]

E28.1979 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 18, 36})
Quotient :: dipole
Aut^+ = C9 x D8 (small group id <72, 10>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y2^4 * Y1^-2, Y1 * Y2 * Y1^-2 * Y2^-1 * Y1, Y1^-1 * Y2^2 * Y1 * Y2^-2, Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1, Y2^-1 * Y1^-5 * Y2^-1 * Y1^-3, Y2^-1 * Y1 * Y2^-1 * Y1^9, (Y3^-1 * Y1^-1)^6 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 18, 90, 38, 110, 57, 129, 56, 128, 37, 109, 48, 120, 29, 101, 46, 118, 27, 99, 44, 116, 63, 135, 52, 124, 33, 105, 13, 85, 4, 76)(3, 75, 9, 81, 19, 91, 41, 113, 58, 130, 53, 125, 35, 107, 14, 86, 25, 97, 8, 80, 24, 96, 40, 112, 62, 134, 69, 141, 65, 137, 49, 121, 30, 102, 11, 83)(5, 77, 15, 87, 20, 92, 43, 115, 59, 131, 71, 143, 67, 139, 51, 123, 32, 104, 12, 84, 23, 95, 7, 79, 21, 93, 39, 111, 60, 132, 54, 126, 34, 106, 16, 88)(10, 82, 22, 94, 42, 114, 61, 133, 70, 142, 66, 138, 50, 122, 31, 103, 47, 119, 28, 100, 45, 117, 64, 136, 72, 144, 68, 140, 55, 127, 36, 108, 17, 89, 26, 98)(145, 217, 147, 219, 154, 226, 164, 236, 150, 222, 163, 235, 186, 258, 203, 275, 182, 254, 202, 274, 214, 286, 211, 283, 200, 272, 179, 251, 194, 266, 176, 248, 192, 264, 169, 241, 191, 263, 167, 239, 190, 262, 168, 240, 189, 261, 165, 237, 188, 260, 206, 278, 216, 288, 204, 276, 196, 268, 209, 281, 199, 271, 178, 250, 157, 229, 174, 246, 161, 233, 149, 221)(146, 218, 151, 223, 166, 238, 184, 256, 162, 234, 183, 255, 205, 277, 213, 285, 201, 273, 198, 270, 210, 282, 193, 265, 181, 253, 160, 232, 175, 247, 155, 227, 173, 245, 159, 231, 172, 244, 153, 225, 171, 243, 187, 259, 208, 280, 185, 257, 207, 279, 215, 287, 212, 284, 197, 269, 177, 249, 195, 267, 180, 252, 158, 230, 148, 220, 156, 228, 170, 242, 152, 224)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 163)(7, 166)(8, 146)(9, 171)(10, 164)(11, 173)(12, 170)(13, 174)(14, 148)(15, 172)(16, 175)(17, 149)(18, 183)(19, 186)(20, 150)(21, 188)(22, 184)(23, 190)(24, 189)(25, 191)(26, 152)(27, 187)(28, 153)(29, 159)(30, 161)(31, 155)(32, 192)(33, 195)(34, 157)(35, 194)(36, 158)(37, 160)(38, 202)(39, 205)(40, 162)(41, 207)(42, 203)(43, 208)(44, 206)(45, 165)(46, 168)(47, 167)(48, 169)(49, 181)(50, 176)(51, 180)(52, 209)(53, 177)(54, 210)(55, 178)(56, 179)(57, 198)(58, 214)(59, 182)(60, 196)(61, 213)(62, 216)(63, 215)(64, 185)(65, 199)(66, 193)(67, 200)(68, 197)(69, 201)(70, 211)(71, 212)(72, 204)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.1980
Graph:: bipartite
	v = 6 e = 144 f = 84
	degree seq :: [ 36^4, 72^2 ]

E28.1980 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 18, 36})
Quotient :: dipole
Aut^+ = C9 x D8 (small group id <72, 10>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y3^-1 * Y2^2 * Y3 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2 * Y3^-2 * Y2^-1 * Y3^2, Y2^6, (Y3, Y2^-1)^2, (Y3^3 * Y2^-1)^2, Y2^-2 * Y3^-1 * Y2^-1 * Y3^-3 * Y2^-1 * Y3^-2, (Y3^-1 * Y1^-1)^36 ]
Map::
	R = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)(145, 217, 146, 218, 150, 222, 162, 234, 157, 229, 148, 220)(147, 219, 153, 225, 163, 235, 187, 259, 176, 248, 155, 227)(149, 221, 159, 231, 164, 236, 189, 261, 179, 251, 160, 232)(151, 223, 165, 237, 185, 257, 178, 250, 156, 228, 167, 239)(152, 224, 168, 240, 186, 258, 180, 252, 158, 230, 169, 241)(154, 226, 166, 238, 188, 260, 208, 280, 201, 273, 174, 246)(161, 233, 170, 242, 190, 262, 209, 281, 204, 276, 181, 253)(171, 243, 191, 263, 210, 282, 202, 274, 175, 247, 194, 266)(172, 244, 192, 264, 211, 283, 203, 275, 177, 249, 195, 267)(173, 245, 199, 271, 212, 284, 206, 278, 216, 288, 198, 270)(182, 254, 196, 268, 213, 285, 205, 277, 183, 255, 197, 269)(184, 256, 200, 272, 214, 286, 193, 265, 215, 287, 207, 279)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 163)(7, 166)(8, 146)(9, 171)(10, 173)(11, 175)(12, 174)(13, 176)(14, 148)(15, 172)(16, 177)(17, 149)(18, 185)(19, 188)(20, 150)(21, 191)(22, 193)(23, 194)(24, 192)(25, 195)(26, 152)(27, 199)(28, 153)(29, 196)(30, 200)(31, 198)(32, 201)(33, 155)(34, 202)(35, 157)(36, 203)(37, 158)(38, 159)(39, 160)(40, 161)(41, 208)(42, 162)(43, 210)(44, 212)(45, 211)(46, 164)(47, 215)(48, 165)(49, 213)(50, 214)(51, 167)(52, 168)(53, 169)(54, 170)(55, 209)(56, 182)(57, 216)(58, 184)(59, 178)(60, 179)(61, 180)(62, 181)(63, 183)(64, 207)(65, 186)(66, 206)(67, 187)(68, 205)(69, 189)(70, 190)(71, 204)(72, 197)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 36, 72 ), ( 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72 ) }
Outer automorphisms :: reflexible
Dual of E28.1979
Graph:: simple bipartite
	v = 84 e = 144 f = 6
	degree seq :: [ 2^72, 12^12 ]

E28.1981 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 18, 36})
Quotient :: dipole
Aut^+ = C9 x D8 (small group id <72, 10>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y2^-2 * Y3^-1 * Y2, Y2^6, Y3^-2 * Y2 * Y3^2 * Y2^-1, Y3 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y3^-3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-2, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^2, (Y3^-2 * Y2 * Y3^-1)^6, (Y3^-1 * Y1^-1)^36 ]
Map::
	R = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)(145, 217, 146, 218, 150, 222, 162, 234, 157, 229, 148, 220)(147, 219, 153, 225, 163, 235, 187, 259, 176, 248, 155, 227)(149, 221, 159, 231, 164, 236, 189, 261, 179, 251, 160, 232)(151, 223, 165, 237, 185, 257, 178, 250, 156, 228, 167, 239)(152, 224, 168, 240, 186, 258, 180, 252, 158, 230, 169, 241)(154, 226, 166, 238, 188, 260, 208, 280, 203, 275, 174, 246)(161, 233, 170, 242, 190, 262, 209, 281, 206, 278, 181, 253)(171, 243, 191, 263, 210, 282, 204, 276, 175, 247, 194, 266)(172, 244, 192, 264, 211, 283, 205, 277, 177, 249, 195, 267)(173, 245, 199, 271, 212, 284, 198, 270, 216, 288, 201, 273)(182, 254, 196, 268, 213, 285, 200, 272, 183, 255, 197, 269)(184, 256, 207, 279, 214, 286, 202, 274, 215, 287, 193, 265)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 163)(7, 166)(8, 146)(9, 171)(10, 173)(11, 175)(12, 174)(13, 176)(14, 148)(15, 172)(16, 177)(17, 149)(18, 185)(19, 188)(20, 150)(21, 191)(22, 193)(23, 194)(24, 192)(25, 195)(26, 152)(27, 199)(28, 153)(29, 200)(30, 202)(31, 201)(32, 203)(33, 155)(34, 204)(35, 157)(36, 205)(37, 158)(38, 159)(39, 160)(40, 161)(41, 208)(42, 162)(43, 210)(44, 212)(45, 211)(46, 164)(47, 184)(48, 165)(49, 183)(50, 215)(51, 167)(52, 168)(53, 169)(54, 170)(55, 181)(56, 180)(57, 209)(58, 213)(59, 216)(60, 214)(61, 178)(62, 179)(63, 182)(64, 207)(65, 186)(66, 198)(67, 187)(68, 197)(69, 189)(70, 190)(71, 206)(72, 196)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 36, 72 ), ( 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72 ) }
Outer automorphisms :: reflexible
Dual of E28.1978
Graph:: simple bipartite
	v = 84 e = 144 f = 6
	degree seq :: [ 2^72, 12^12 ]

E28.1982 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 18, 36})
Quotient :: dipole
Aut^+ = C9 x D8 (small group id <72, 10>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-1 * Y1^2 * Y3 * Y1^-1, Y3^6, Y3^-2 * Y1 * Y3^2 * Y1^-1, Y1^-2 * Y3 * Y1^-1 * Y3 * Y1^-3, Y3 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, (Y1^-2 * Y3 * Y1^-1)^2, Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, (Y3 * Y2^-1)^6, Y1^-1 * Y3^2 * Y1^-1 * Y3^2 * Y1^-1 * Y3^2 * Y1^-1 * Y3^2 * Y1^-1 * Y3^3 * Y1^-1 * Y3^3, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 18, 90, 41, 113, 31, 103, 51, 123, 27, 99, 48, 120, 68, 140, 62, 134, 38, 110, 17, 89, 26, 98, 47, 119, 67, 139, 59, 131, 33, 105, 52, 124, 28, 100, 49, 121, 69, 141, 58, 130, 30, 102, 10, 82, 22, 94, 45, 117, 66, 138, 63, 135, 40, 112, 54, 126, 39, 111, 53, 125, 35, 107, 13, 85, 4, 76)(3, 75, 9, 81, 19, 91, 44, 116, 64, 136, 57, 129, 72, 144, 50, 122, 71, 143, 61, 133, 36, 108, 16, 88, 5, 77, 15, 87, 20, 92, 46, 118, 34, 106, 12, 84, 23, 95, 7, 79, 21, 93, 42, 114, 65, 137, 56, 128, 29, 101, 55, 127, 70, 142, 60, 132, 37, 109, 14, 86, 25, 97, 8, 80, 24, 96, 43, 115, 32, 104, 11, 83)(145, 217)(146, 218)(147, 219)(148, 220)(149, 221)(150, 222)(151, 223)(152, 224)(153, 225)(154, 226)(155, 227)(156, 228)(157, 229)(158, 230)(159, 231)(160, 232)(161, 233)(162, 234)(163, 235)(164, 236)(165, 237)(166, 238)(167, 239)(168, 240)(169, 241)(170, 242)(171, 243)(172, 244)(173, 245)(174, 246)(175, 247)(176, 248)(177, 249)(178, 250)(179, 251)(180, 252)(181, 253)(182, 254)(183, 255)(184, 256)(185, 257)(186, 258)(187, 259)(188, 260)(189, 261)(190, 262)(191, 263)(192, 264)(193, 265)(194, 266)(195, 267)(196, 268)(197, 269)(198, 270)(199, 271)(200, 272)(201, 273)(202, 274)(203, 275)(204, 276)(205, 277)(206, 278)(207, 279)(208, 280)(209, 281)(210, 282)(211, 283)(212, 284)(213, 285)(214, 286)(215, 287)(216, 288)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 163)(7, 166)(8, 146)(9, 171)(10, 173)(11, 175)(12, 174)(13, 176)(14, 148)(15, 172)(16, 177)(17, 149)(18, 186)(19, 189)(20, 150)(21, 192)(22, 194)(23, 195)(24, 193)(25, 196)(26, 152)(27, 199)(28, 153)(29, 161)(30, 201)(31, 200)(32, 202)(33, 155)(34, 185)(35, 190)(36, 157)(37, 203)(38, 158)(39, 159)(40, 160)(41, 208)(42, 210)(43, 162)(44, 212)(45, 214)(46, 213)(47, 164)(48, 215)(49, 165)(50, 170)(51, 216)(52, 167)(53, 168)(54, 169)(55, 183)(56, 184)(57, 182)(58, 209)(59, 178)(60, 179)(61, 211)(62, 180)(63, 181)(64, 207)(65, 206)(66, 205)(67, 187)(68, 204)(69, 188)(70, 191)(71, 197)(72, 198)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 12, 36 ), ( 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.1976
Graph:: simple bipartite
	v = 74 e = 144 f = 16
	degree seq :: [ 2^72, 72^2 ]

E28.1983 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 18, 36})
Quotient :: dipole
Aut^+ = C9 x D8 (small group id <72, 10>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^6, Y3^2 * Y1^-1 * Y3^-2 * Y1, Y1 * Y3^-1 * Y1^-2 * Y3 * Y1, Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, (Y1^-1 * Y3^-1 * Y1^-2)^2, Y3 * Y1^-1 * Y3 * Y1^-5 * Y3^2, Y3 * Y1^-1 * Y3 * Y1^-2 * Y3^2 * Y1^-3, (Y3 * Y2^-1)^6, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-2 * Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 18, 90, 41, 113, 40, 112, 54, 126, 39, 111, 53, 125, 70, 142, 58, 130, 30, 102, 10, 82, 22, 94, 45, 117, 65, 137, 61, 133, 33, 105, 52, 124, 28, 100, 49, 121, 68, 140, 63, 135, 38, 110, 17, 89, 26, 98, 47, 119, 67, 139, 59, 131, 31, 103, 51, 123, 27, 99, 48, 120, 35, 107, 13, 85, 4, 76)(3, 75, 9, 81, 19, 91, 44, 116, 37, 109, 14, 86, 25, 97, 8, 80, 24, 96, 43, 115, 66, 138, 56, 128, 29, 101, 55, 127, 69, 141, 62, 134, 34, 106, 12, 84, 23, 95, 7, 79, 21, 93, 42, 114, 36, 108, 16, 88, 5, 77, 15, 87, 20, 92, 46, 118, 64, 136, 57, 129, 72, 144, 50, 122, 71, 143, 60, 132, 32, 104, 11, 83)(145, 217)(146, 218)(147, 219)(148, 220)(149, 221)(150, 222)(151, 223)(152, 224)(153, 225)(154, 226)(155, 227)(156, 228)(157, 229)(158, 230)(159, 231)(160, 232)(161, 233)(162, 234)(163, 235)(164, 236)(165, 237)(166, 238)(167, 239)(168, 240)(169, 241)(170, 242)(171, 243)(172, 244)(173, 245)(174, 246)(175, 247)(176, 248)(177, 249)(178, 250)(179, 251)(180, 252)(181, 253)(182, 254)(183, 255)(184, 256)(185, 257)(186, 258)(187, 259)(188, 260)(189, 261)(190, 262)(191, 263)(192, 264)(193, 265)(194, 266)(195, 267)(196, 268)(197, 269)(198, 270)(199, 271)(200, 272)(201, 273)(202, 274)(203, 275)(204, 276)(205, 277)(206, 278)(207, 279)(208, 280)(209, 281)(210, 282)(211, 283)(212, 284)(213, 285)(214, 286)(215, 287)(216, 288)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 163)(7, 166)(8, 146)(9, 171)(10, 173)(11, 175)(12, 174)(13, 176)(14, 148)(15, 172)(16, 177)(17, 149)(18, 186)(19, 189)(20, 150)(21, 192)(22, 194)(23, 195)(24, 193)(25, 196)(26, 152)(27, 199)(28, 153)(29, 161)(30, 201)(31, 200)(32, 202)(33, 155)(34, 203)(35, 206)(36, 157)(37, 205)(38, 158)(39, 159)(40, 160)(41, 181)(42, 209)(43, 162)(44, 179)(45, 213)(46, 212)(47, 164)(48, 215)(49, 165)(50, 170)(51, 216)(52, 167)(53, 168)(54, 169)(55, 183)(56, 184)(57, 182)(58, 210)(59, 208)(60, 211)(61, 178)(62, 214)(63, 180)(64, 185)(65, 204)(66, 207)(67, 187)(68, 188)(69, 191)(70, 190)(71, 197)(72, 198)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 12, 36 ), ( 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.1977
Graph:: simple bipartite
	v = 74 e = 144 f = 16
	degree seq :: [ 2^72, 72^2 ]

E28.1984 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 18, 36})
Quotient :: dipole
Aut^+ = C9 x D8 (small group id <72, 10>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y1)^2, (R * Y3)^2, Y1 * Y2^-1 * Y1^-1 * Y3 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y2^-2 * Y3 * Y2, (Y2^-1 * R * Y2^-1)^2, Y3 * Y1^-1 * Y2 * Y1 * Y3^-1 * Y2^-1, Y1^6, Y2^-2 * Y1 * Y2^2 * Y1^-1, Y2^-2 * Y3 * Y2^-3 * Y1^-1 * Y2^-1, Y3 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y3 * Y2^5 * Y1^-3, Y2^-1 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y3 * Y2^-2 * Y1^-1 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y1^-1 * Y2^-1 * Y3, Y2^-1 * Y3 * Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 18, 90, 13, 85, 4, 76)(3, 75, 9, 81, 19, 91, 43, 115, 32, 104, 11, 83)(5, 77, 15, 87, 20, 92, 45, 117, 35, 107, 16, 88)(7, 79, 21, 93, 41, 113, 34, 106, 12, 84, 23, 95)(8, 80, 24, 96, 42, 114, 36, 108, 14, 86, 25, 97)(10, 82, 22, 94, 44, 116, 64, 136, 59, 131, 30, 102)(17, 89, 26, 98, 46, 118, 65, 137, 62, 134, 37, 109)(27, 99, 47, 119, 66, 138, 60, 132, 31, 103, 50, 122)(28, 100, 48, 120, 67, 139, 61, 133, 33, 105, 51, 123)(29, 101, 55, 127, 68, 140, 54, 126, 72, 144, 57, 129)(38, 110, 52, 124, 69, 141, 56, 128, 39, 111, 53, 125)(40, 112, 63, 135, 70, 142, 58, 130, 71, 143, 49, 121)(145, 217, 147, 219, 154, 226, 173, 245, 200, 272, 180, 252, 205, 277, 178, 250, 204, 276, 214, 286, 190, 262, 164, 236, 150, 222, 163, 235, 188, 260, 212, 284, 197, 269, 169, 241, 195, 267, 167, 239, 194, 266, 215, 287, 206, 278, 179, 251, 157, 229, 176, 248, 203, 275, 216, 288, 196, 268, 168, 240, 192, 264, 165, 237, 191, 263, 184, 256, 161, 233, 149, 221)(146, 218, 151, 223, 166, 238, 193, 265, 183, 255, 160, 232, 177, 249, 155, 227, 175, 247, 201, 273, 209, 281, 186, 258, 162, 234, 185, 257, 208, 280, 207, 279, 182, 254, 159, 231, 172, 244, 153, 225, 171, 243, 199, 271, 181, 253, 158, 230, 148, 220, 156, 228, 174, 246, 202, 274, 213, 285, 189, 261, 211, 283, 187, 259, 210, 282, 198, 270, 170, 242, 152, 224)
	L = (1, 148)(2, 145)(3, 155)(4, 157)(5, 160)(6, 146)(7, 167)(8, 169)(9, 147)(10, 174)(11, 176)(12, 178)(13, 162)(14, 180)(15, 149)(16, 179)(17, 181)(18, 150)(19, 153)(20, 159)(21, 151)(22, 154)(23, 156)(24, 152)(25, 158)(26, 161)(27, 194)(28, 195)(29, 201)(30, 203)(31, 204)(32, 187)(33, 205)(34, 185)(35, 189)(36, 186)(37, 206)(38, 197)(39, 200)(40, 193)(41, 165)(42, 168)(43, 163)(44, 166)(45, 164)(46, 170)(47, 171)(48, 172)(49, 215)(50, 175)(51, 177)(52, 182)(53, 183)(54, 212)(55, 173)(56, 213)(57, 216)(58, 214)(59, 208)(60, 210)(61, 211)(62, 209)(63, 184)(64, 188)(65, 190)(66, 191)(67, 192)(68, 199)(69, 196)(70, 207)(71, 202)(72, 198)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36 ), ( 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.1987
Graph:: bipartite
	v = 14 e = 144 f = 76
	degree seq :: [ 12^12, 72^2 ]

E28.1985 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 18, 36})
Quotient :: dipole
Aut^+ = C9 x D8 (small group id <72, 10>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (R * Y1)^2, (R * Y3)^2, Y1 * Y2^-1 * Y1^-2 * Y2 * Y3^-1, Y2^-1 * Y1 * Y3^-1 * Y2 * Y3 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y2^-1 * R * Y2^-1)^2, Y3^2 * Y1^-4, Y3^-1 * Y2^-1 * Y3^2 * Y2 * Y3^-1, Y3^-1 * Y2^-2 * Y1^-1 * Y2^2, Y2 * Y3 * Y2^5 * Y3, Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1, Y2 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y1^-1 * Y2^-3 * Y3^-1 * Y2^2 * Y3^-1 * Y2 * Y1^-1, Y1^2 * Y2^-1 * Y1^2 * Y2^-1 * Y1^2 * Y2^-1 * Y1^2 * Y2^-1 * Y1^2 * Y2^-1 * Y3 * Y2^-1 * Y3, (Y3 * Y2^-1)^18 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 18, 90, 13, 85, 4, 76)(3, 75, 9, 81, 19, 91, 43, 115, 32, 104, 11, 83)(5, 77, 15, 87, 20, 92, 45, 117, 35, 107, 16, 88)(7, 79, 21, 93, 41, 113, 34, 106, 12, 84, 23, 95)(8, 80, 24, 96, 42, 114, 36, 108, 14, 86, 25, 97)(10, 82, 22, 94, 44, 116, 64, 136, 57, 129, 30, 102)(17, 89, 26, 98, 46, 118, 65, 137, 60, 132, 37, 109)(27, 99, 47, 119, 66, 138, 58, 130, 31, 103, 50, 122)(28, 100, 48, 120, 67, 139, 59, 131, 33, 105, 51, 123)(29, 101, 55, 127, 68, 140, 62, 134, 72, 144, 54, 126)(38, 110, 52, 124, 69, 141, 61, 133, 39, 111, 53, 125)(40, 112, 56, 128, 70, 142, 49, 121, 71, 143, 63, 135)(145, 217, 147, 219, 154, 226, 173, 245, 196, 268, 168, 240, 192, 264, 165, 237, 191, 263, 215, 287, 204, 276, 179, 251, 157, 229, 176, 248, 201, 273, 216, 288, 197, 269, 169, 241, 195, 267, 167, 239, 194, 266, 214, 286, 190, 262, 164, 236, 150, 222, 163, 235, 188, 260, 212, 284, 205, 277, 180, 252, 203, 275, 178, 250, 202, 274, 184, 256, 161, 233, 149, 221)(146, 218, 151, 223, 166, 238, 193, 265, 213, 285, 189, 261, 211, 283, 187, 259, 210, 282, 206, 278, 181, 253, 158, 230, 148, 220, 156, 228, 174, 246, 200, 272, 182, 254, 159, 231, 172, 244, 153, 225, 171, 243, 199, 271, 209, 281, 186, 258, 162, 234, 185, 257, 208, 280, 207, 279, 183, 255, 160, 232, 177, 249, 155, 227, 175, 247, 198, 270, 170, 242, 152, 224)
	L = (1, 148)(2, 145)(3, 155)(4, 157)(5, 160)(6, 146)(7, 167)(8, 169)(9, 147)(10, 174)(11, 176)(12, 178)(13, 162)(14, 180)(15, 149)(16, 179)(17, 181)(18, 150)(19, 153)(20, 159)(21, 151)(22, 154)(23, 156)(24, 152)(25, 158)(26, 161)(27, 194)(28, 195)(29, 198)(30, 201)(31, 202)(32, 187)(33, 203)(34, 185)(35, 189)(36, 186)(37, 204)(38, 197)(39, 205)(40, 207)(41, 165)(42, 168)(43, 163)(44, 166)(45, 164)(46, 170)(47, 171)(48, 172)(49, 214)(50, 175)(51, 177)(52, 182)(53, 183)(54, 216)(55, 173)(56, 184)(57, 208)(58, 210)(59, 211)(60, 209)(61, 213)(62, 212)(63, 215)(64, 188)(65, 190)(66, 191)(67, 192)(68, 199)(69, 196)(70, 200)(71, 193)(72, 206)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36 ), ( 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.1986
Graph:: bipartite
	v = 14 e = 144 f = 76
	degree seq :: [ 12^12, 72^2 ]

E28.1986 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 18, 36})
Quotient :: dipole
Aut^+ = C9 x D8 (small group id <72, 10>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y3 * Y1^-3, Y1 * Y3^-1 * Y1^-2 * Y3 * Y1, Y1^-1 * Y3^2 * Y1 * Y3^-2, Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-6, Y3 * Y1 * Y3 * Y1^13, (Y3 * Y2^-1)^36 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 18, 90, 38, 110, 27, 99, 43, 115, 59, 131, 50, 122, 62, 134, 56, 128, 64, 136, 53, 125, 36, 108, 47, 119, 32, 104, 13, 85, 4, 76)(3, 75, 9, 81, 19, 91, 40, 112, 57, 129, 45, 117, 61, 133, 70, 142, 66, 138, 55, 127, 37, 109, 51, 123, 34, 106, 14, 86, 25, 97, 8, 80, 24, 96, 11, 83)(5, 77, 15, 87, 20, 92, 12, 84, 23, 95, 7, 79, 21, 93, 39, 111, 29, 101, 49, 121, 60, 132, 71, 143, 68, 140, 54, 126, 63, 135, 48, 120, 33, 105, 16, 88)(10, 82, 22, 94, 41, 113, 58, 130, 69, 141, 65, 137, 72, 144, 67, 139, 52, 124, 35, 107, 17, 89, 26, 98, 42, 114, 31, 103, 46, 118, 28, 100, 44, 116, 30, 102)(145, 217)(146, 218)(147, 219)(148, 220)(149, 221)(150, 222)(151, 223)(152, 224)(153, 225)(154, 226)(155, 227)(156, 228)(157, 229)(158, 230)(159, 231)(160, 232)(161, 233)(162, 234)(163, 235)(164, 236)(165, 237)(166, 238)(167, 239)(168, 240)(169, 241)(170, 242)(171, 243)(172, 244)(173, 245)(174, 246)(175, 247)(176, 248)(177, 249)(178, 250)(179, 251)(180, 252)(181, 253)(182, 254)(183, 255)(184, 256)(185, 257)(186, 258)(187, 259)(188, 260)(189, 261)(190, 262)(191, 263)(192, 264)(193, 265)(194, 266)(195, 267)(196, 268)(197, 269)(198, 270)(199, 271)(200, 272)(201, 273)(202, 274)(203, 275)(204, 276)(205, 277)(206, 278)(207, 279)(208, 280)(209, 281)(210, 282)(211, 283)(212, 284)(213, 285)(214, 286)(215, 287)(216, 288)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 163)(7, 166)(8, 146)(9, 171)(10, 173)(11, 162)(12, 174)(13, 168)(14, 148)(15, 172)(16, 175)(17, 149)(18, 183)(19, 185)(20, 150)(21, 187)(22, 189)(23, 182)(24, 188)(25, 190)(26, 152)(27, 193)(28, 153)(29, 194)(30, 184)(31, 155)(32, 159)(33, 157)(34, 186)(35, 158)(36, 160)(37, 161)(38, 201)(39, 202)(40, 203)(41, 204)(42, 164)(43, 205)(44, 165)(45, 206)(46, 167)(47, 169)(48, 170)(49, 209)(50, 210)(51, 176)(52, 177)(53, 178)(54, 179)(55, 180)(56, 181)(57, 213)(58, 214)(59, 215)(60, 200)(61, 216)(62, 198)(63, 191)(64, 192)(65, 199)(66, 196)(67, 195)(68, 197)(69, 212)(70, 208)(71, 211)(72, 207)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 12, 72 ), ( 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72 ) }
Outer automorphisms :: reflexible
Dual of E28.1985
Graph:: simple bipartite
	v = 76 e = 144 f = 14
	degree seq :: [ 2^72, 36^4 ]

E28.1987 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 18, 36})
Quotient :: dipole
Aut^+ = C9 x D8 (small group id <72, 10>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y3^4 * Y1^-2, (R * Y2 * Y3^-1)^2, Y1^-2 * Y3 * Y1^2 * Y3^-1, Y3^2 * Y1 * Y3^-2 * Y1^-1, (Y3, Y1^-1)^2, Y3^-1 * Y1^-5 * Y3^-1 * Y1^-3, Y3^-1 * Y1 * Y3^-1 * Y1^9, (Y3^-1 * Y1^-1)^6, (Y3 * Y2^-1)^36 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 18, 90, 38, 110, 57, 129, 56, 128, 37, 109, 48, 120, 29, 101, 46, 118, 27, 99, 44, 116, 63, 135, 52, 124, 33, 105, 13, 85, 4, 76)(3, 75, 9, 81, 19, 91, 41, 113, 58, 130, 53, 125, 35, 107, 14, 86, 25, 97, 8, 80, 24, 96, 40, 112, 62, 134, 69, 141, 65, 137, 49, 121, 30, 102, 11, 83)(5, 77, 15, 87, 20, 92, 43, 115, 59, 131, 71, 143, 67, 139, 51, 123, 32, 104, 12, 84, 23, 95, 7, 79, 21, 93, 39, 111, 60, 132, 54, 126, 34, 106, 16, 88)(10, 82, 22, 94, 42, 114, 61, 133, 70, 142, 66, 138, 50, 122, 31, 103, 47, 119, 28, 100, 45, 117, 64, 136, 72, 144, 68, 140, 55, 127, 36, 108, 17, 89, 26, 98)(145, 217)(146, 218)(147, 219)(148, 220)(149, 221)(150, 222)(151, 223)(152, 224)(153, 225)(154, 226)(155, 227)(156, 228)(157, 229)(158, 230)(159, 231)(160, 232)(161, 233)(162, 234)(163, 235)(164, 236)(165, 237)(166, 238)(167, 239)(168, 240)(169, 241)(170, 242)(171, 243)(172, 244)(173, 245)(174, 246)(175, 247)(176, 248)(177, 249)(178, 250)(179, 251)(180, 252)(181, 253)(182, 254)(183, 255)(184, 256)(185, 257)(186, 258)(187, 259)(188, 260)(189, 261)(190, 262)(191, 263)(192, 264)(193, 265)(194, 266)(195, 267)(196, 268)(197, 269)(198, 270)(199, 271)(200, 272)(201, 273)(202, 274)(203, 275)(204, 276)(205, 277)(206, 278)(207, 279)(208, 280)(209, 281)(210, 282)(211, 283)(212, 284)(213, 285)(214, 286)(215, 287)(216, 288)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 163)(7, 166)(8, 146)(9, 171)(10, 164)(11, 173)(12, 170)(13, 174)(14, 148)(15, 172)(16, 175)(17, 149)(18, 183)(19, 186)(20, 150)(21, 188)(22, 184)(23, 190)(24, 189)(25, 191)(26, 152)(27, 187)(28, 153)(29, 159)(30, 161)(31, 155)(32, 192)(33, 195)(34, 157)(35, 194)(36, 158)(37, 160)(38, 202)(39, 205)(40, 162)(41, 207)(42, 203)(43, 208)(44, 206)(45, 165)(46, 168)(47, 167)(48, 169)(49, 181)(50, 176)(51, 180)(52, 209)(53, 177)(54, 210)(55, 178)(56, 179)(57, 198)(58, 214)(59, 182)(60, 196)(61, 213)(62, 216)(63, 215)(64, 185)(65, 199)(66, 193)(67, 200)(68, 197)(69, 201)(70, 211)(71, 212)(72, 204)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 12, 72 ), ( 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72, 12, 72 ) }
Outer automorphisms :: reflexible
Dual of E28.1984
Graph:: simple bipartite
	v = 76 e = 144 f = 14
	degree seq :: [ 2^72, 36^4 ]

E28.1988 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 9, 72})
Quotient :: edge
Aut^+ = C72 (small group id <72, 2>)
Aut   = D144 (small group id <144, 8>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^8, T2^9 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 40, 25, 13, 5)(2, 7, 17, 31, 47, 48, 32, 18, 8)(4, 10, 20, 34, 49, 54, 39, 24, 12)(6, 15, 29, 45, 59, 60, 46, 30, 16)(11, 21, 35, 50, 61, 64, 53, 38, 23)(14, 27, 43, 57, 67, 68, 58, 44, 28)(22, 36, 51, 62, 69, 70, 63, 52, 37)(26, 41, 55, 65, 71, 72, 66, 56, 42)(73, 74, 78, 86, 98, 94, 83, 76)(75, 79, 87, 99, 113, 108, 93, 82)(77, 80, 88, 100, 114, 109, 95, 84)(81, 89, 101, 115, 127, 123, 107, 92)(85, 90, 102, 116, 128, 124, 110, 96)(91, 103, 117, 129, 137, 134, 122, 106)(97, 104, 118, 130, 138, 135, 125, 111)(105, 119, 131, 139, 143, 141, 133, 121)(112, 120, 132, 140, 144, 142, 136, 126)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 144^8 ), ( 144^9 ) }
Outer automorphisms :: reflexible
Dual of E28.1992
Transitivity :: ET+
Graph:: simple bipartite
	v = 17 e = 72 f = 1
	degree seq :: [ 8^9, 9^8 ]

E28.1989 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 9, 72})
Quotient :: edge
Aut^+ = C72 (small group id <72, 2>)
Aut   = D144 (small group id <144, 8>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^-8 * T1, T1^9, (T1^-1 * T2^-1)^8 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 32, 18, 8, 2, 7, 17, 31, 48, 47, 30, 16, 6, 15, 29, 46, 60, 59, 45, 28, 14, 27, 44, 58, 68, 67, 57, 43, 26, 42, 56, 66, 72, 70, 63, 52, 37, 51, 62, 69, 71, 64, 53, 38, 22, 36, 50, 61, 65, 54, 39, 23, 11, 21, 35, 49, 55, 40, 24, 12, 4, 10, 20, 34, 41, 25, 13, 5)(73, 74, 78, 86, 98, 109, 94, 83, 76)(75, 79, 87, 99, 114, 123, 108, 93, 82)(77, 80, 88, 100, 115, 124, 110, 95, 84)(81, 89, 101, 116, 128, 134, 122, 107, 92)(85, 90, 102, 117, 129, 135, 125, 111, 96)(91, 103, 118, 130, 138, 141, 133, 121, 106)(97, 104, 119, 131, 139, 142, 136, 126, 112)(105, 120, 132, 140, 144, 143, 137, 127, 113)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 16^9 ), ( 16^72 ) }
Outer automorphisms :: reflexible
Dual of E28.1993
Transitivity :: ET+
Graph:: bipartite
	v = 9 e = 72 f = 9
	degree seq :: [ 9^8, 72 ]

E28.1990 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 9, 72})
Quotient :: edge
Aut^+ = C72 (small group id <72, 2>)
Aut   = D144 (small group id <144, 8>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^8, T1^-9 * T2^-1, T2^3 * T1^-1 * T2 * T1^-3 * T2^4 * T1^4, (T1^-1 * T2^-1)^9, T1 * T2^-1 * T1^4 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 25, 13, 5)(2, 7, 17, 31, 48, 32, 18, 8)(4, 10, 20, 34, 49, 40, 24, 12)(6, 15, 29, 46, 60, 47, 30, 16)(11, 21, 35, 50, 61, 54, 39, 23)(14, 27, 44, 58, 68, 59, 45, 28)(22, 36, 51, 62, 69, 64, 53, 38)(26, 42, 56, 66, 72, 67, 57, 43)(37, 52, 63, 70, 71, 65, 55, 41)(73, 74, 78, 86, 98, 113, 110, 95, 84, 77, 80, 88, 100, 115, 127, 125, 111, 96, 85, 90, 102, 117, 129, 137, 136, 126, 112, 97, 104, 119, 131, 139, 143, 141, 133, 121, 105, 120, 132, 140, 144, 142, 134, 122, 106, 91, 103, 118, 130, 138, 135, 123, 107, 92, 81, 89, 101, 116, 128, 124, 108, 93, 82, 75, 79, 87, 99, 114, 109, 94, 83, 76)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 18^8 ), ( 18^72 ) }
Outer automorphisms :: reflexible
Dual of E28.1991
Transitivity :: ET+
Graph:: bipartite
	v = 10 e = 72 f = 8
	degree seq :: [ 8^9, 72 ]

E28.1991 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 9, 72})
Quotient :: loop
Aut^+ = C72 (small group id <72, 2>)
Aut   = D144 (small group id <144, 8>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^8, T2^9 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 9, 81, 19, 91, 33, 105, 40, 112, 25, 97, 13, 85, 5, 77)(2, 74, 7, 79, 17, 89, 31, 103, 47, 119, 48, 120, 32, 104, 18, 90, 8, 80)(4, 76, 10, 82, 20, 92, 34, 106, 49, 121, 54, 126, 39, 111, 24, 96, 12, 84)(6, 78, 15, 87, 29, 101, 45, 117, 59, 131, 60, 132, 46, 118, 30, 102, 16, 88)(11, 83, 21, 93, 35, 107, 50, 122, 61, 133, 64, 136, 53, 125, 38, 110, 23, 95)(14, 86, 27, 99, 43, 115, 57, 129, 67, 139, 68, 140, 58, 130, 44, 116, 28, 100)(22, 94, 36, 108, 51, 123, 62, 134, 69, 141, 70, 142, 63, 135, 52, 124, 37, 109)(26, 98, 41, 113, 55, 127, 65, 137, 71, 143, 72, 144, 66, 138, 56, 128, 42, 114)
	L = (1, 74)(2, 78)(3, 79)(4, 73)(5, 80)(6, 86)(7, 87)(8, 88)(9, 89)(10, 75)(11, 76)(12, 77)(13, 90)(14, 98)(15, 99)(16, 100)(17, 101)(18, 102)(19, 103)(20, 81)(21, 82)(22, 83)(23, 84)(24, 85)(25, 104)(26, 94)(27, 113)(28, 114)(29, 115)(30, 116)(31, 117)(32, 118)(33, 119)(34, 91)(35, 92)(36, 93)(37, 95)(38, 96)(39, 97)(40, 120)(41, 108)(42, 109)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 105)(50, 106)(51, 107)(52, 110)(53, 111)(54, 112)(55, 123)(56, 124)(57, 137)(58, 138)(59, 139)(60, 140)(61, 121)(62, 122)(63, 125)(64, 126)(65, 134)(66, 135)(67, 143)(68, 144)(69, 133)(70, 136)(71, 141)(72, 142)
	local type(s) :: { ( 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72 ) }
Outer automorphisms :: reflexible
Dual of E28.1990
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 72 f = 10
	degree seq :: [ 18^8 ]

E28.1992 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 9, 72})
Quotient :: loop
Aut^+ = C72 (small group id <72, 2>)
Aut   = D144 (small group id <144, 8>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^-8 * T1, T1^9, (T1^-1 * T2^-1)^8 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 9, 81, 19, 91, 33, 105, 32, 104, 18, 90, 8, 80, 2, 74, 7, 79, 17, 89, 31, 103, 48, 120, 47, 119, 30, 102, 16, 88, 6, 78, 15, 87, 29, 101, 46, 118, 60, 132, 59, 131, 45, 117, 28, 100, 14, 86, 27, 99, 44, 116, 58, 130, 68, 140, 67, 139, 57, 129, 43, 115, 26, 98, 42, 114, 56, 128, 66, 138, 72, 144, 70, 142, 63, 135, 52, 124, 37, 109, 51, 123, 62, 134, 69, 141, 71, 143, 64, 136, 53, 125, 38, 110, 22, 94, 36, 108, 50, 122, 61, 133, 65, 137, 54, 126, 39, 111, 23, 95, 11, 83, 21, 93, 35, 107, 49, 121, 55, 127, 40, 112, 24, 96, 12, 84, 4, 76, 10, 82, 20, 92, 34, 106, 41, 113, 25, 97, 13, 85, 5, 77)
	L = (1, 74)(2, 78)(3, 79)(4, 73)(5, 80)(6, 86)(7, 87)(8, 88)(9, 89)(10, 75)(11, 76)(12, 77)(13, 90)(14, 98)(15, 99)(16, 100)(17, 101)(18, 102)(19, 103)(20, 81)(21, 82)(22, 83)(23, 84)(24, 85)(25, 104)(26, 109)(27, 114)(28, 115)(29, 116)(30, 117)(31, 118)(32, 119)(33, 120)(34, 91)(35, 92)(36, 93)(37, 94)(38, 95)(39, 96)(40, 97)(41, 105)(42, 123)(43, 124)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 106)(50, 107)(51, 108)(52, 110)(53, 111)(54, 112)(55, 113)(56, 134)(57, 135)(58, 138)(59, 139)(60, 140)(61, 121)(62, 122)(63, 125)(64, 126)(65, 127)(66, 141)(67, 142)(68, 144)(69, 133)(70, 136)(71, 137)(72, 143)
	local type(s) :: { ( 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9 ) }
Outer automorphisms :: reflexible
Dual of E28.1988
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 72 f = 17
	degree seq :: [ 144 ]

E28.1993 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 9, 72})
Quotient :: loop
Aut^+ = C72 (small group id <72, 2>)
Aut   = D144 (small group id <144, 8>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^8, T1^-9 * T2^-1, T2^3 * T1^-1 * T2 * T1^-3 * T2^4 * T1^4, (T1^-1 * T2^-1)^9, T1 * T2^-1 * T1^4 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 9, 81, 19, 91, 33, 105, 25, 97, 13, 85, 5, 77)(2, 74, 7, 79, 17, 89, 31, 103, 48, 120, 32, 104, 18, 90, 8, 80)(4, 76, 10, 82, 20, 92, 34, 106, 49, 121, 40, 112, 24, 96, 12, 84)(6, 78, 15, 87, 29, 101, 46, 118, 60, 132, 47, 119, 30, 102, 16, 88)(11, 83, 21, 93, 35, 107, 50, 122, 61, 133, 54, 126, 39, 111, 23, 95)(14, 86, 27, 99, 44, 116, 58, 130, 68, 140, 59, 131, 45, 117, 28, 100)(22, 94, 36, 108, 51, 123, 62, 134, 69, 141, 64, 136, 53, 125, 38, 110)(26, 98, 42, 114, 56, 128, 66, 138, 72, 144, 67, 139, 57, 129, 43, 115)(37, 109, 52, 124, 63, 135, 70, 142, 71, 143, 65, 137, 55, 127, 41, 113)
	L = (1, 74)(2, 78)(3, 79)(4, 73)(5, 80)(6, 86)(7, 87)(8, 88)(9, 89)(10, 75)(11, 76)(12, 77)(13, 90)(14, 98)(15, 99)(16, 100)(17, 101)(18, 102)(19, 103)(20, 81)(21, 82)(22, 83)(23, 84)(24, 85)(25, 104)(26, 113)(27, 114)(28, 115)(29, 116)(30, 117)(31, 118)(32, 119)(33, 120)(34, 91)(35, 92)(36, 93)(37, 94)(38, 95)(39, 96)(40, 97)(41, 110)(42, 109)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 105)(50, 106)(51, 107)(52, 108)(53, 111)(54, 112)(55, 125)(56, 124)(57, 137)(58, 138)(59, 139)(60, 140)(61, 121)(62, 122)(63, 123)(64, 126)(65, 136)(66, 135)(67, 143)(68, 144)(69, 133)(70, 134)(71, 141)(72, 142)
	local type(s) :: { ( 9, 72, 9, 72, 9, 72, 9, 72, 9, 72, 9, 72, 9, 72, 9, 72 ) }
Outer automorphisms :: reflexible
Dual of E28.1989
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 72 f = 9
	degree seq :: [ 16^9 ]

E28.1994 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 9, 72})
Quotient :: dipole
Aut^+ = C72 (small group id <72, 2>)
Aut   = D144 (small group id <144, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y2^-1), (Y2, Y1^-1), Y1^8, Y2^9, Y3^72 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 14, 86, 26, 98, 22, 94, 11, 83, 4, 76)(3, 75, 7, 79, 15, 87, 27, 99, 41, 113, 36, 108, 21, 93, 10, 82)(5, 77, 8, 80, 16, 88, 28, 100, 42, 114, 37, 109, 23, 95, 12, 84)(9, 81, 17, 89, 29, 101, 43, 115, 55, 127, 51, 123, 35, 107, 20, 92)(13, 85, 18, 90, 30, 102, 44, 116, 56, 128, 52, 124, 38, 110, 24, 96)(19, 91, 31, 103, 45, 117, 57, 129, 65, 137, 62, 134, 50, 122, 34, 106)(25, 97, 32, 104, 46, 118, 58, 130, 66, 138, 63, 135, 53, 125, 39, 111)(33, 105, 47, 119, 59, 131, 67, 139, 71, 143, 69, 141, 61, 133, 49, 121)(40, 112, 48, 120, 60, 132, 68, 140, 72, 144, 70, 142, 64, 136, 54, 126)(145, 217, 147, 219, 153, 225, 163, 235, 177, 249, 184, 256, 169, 241, 157, 229, 149, 221)(146, 218, 151, 223, 161, 233, 175, 247, 191, 263, 192, 264, 176, 248, 162, 234, 152, 224)(148, 220, 154, 226, 164, 236, 178, 250, 193, 265, 198, 270, 183, 255, 168, 240, 156, 228)(150, 222, 159, 231, 173, 245, 189, 261, 203, 275, 204, 276, 190, 262, 174, 246, 160, 232)(155, 227, 165, 237, 179, 251, 194, 266, 205, 277, 208, 280, 197, 269, 182, 254, 167, 239)(158, 230, 171, 243, 187, 259, 201, 273, 211, 283, 212, 284, 202, 274, 188, 260, 172, 244)(166, 238, 180, 252, 195, 267, 206, 278, 213, 285, 214, 286, 207, 279, 196, 268, 181, 253)(170, 242, 185, 257, 199, 271, 209, 281, 215, 287, 216, 288, 210, 282, 200, 272, 186, 258)
	L = (1, 148)(2, 145)(3, 154)(4, 155)(5, 156)(6, 146)(7, 147)(8, 149)(9, 164)(10, 165)(11, 166)(12, 167)(13, 168)(14, 150)(15, 151)(16, 152)(17, 153)(18, 157)(19, 178)(20, 179)(21, 180)(22, 170)(23, 181)(24, 182)(25, 183)(26, 158)(27, 159)(28, 160)(29, 161)(30, 162)(31, 163)(32, 169)(33, 193)(34, 194)(35, 195)(36, 185)(37, 186)(38, 196)(39, 197)(40, 198)(41, 171)(42, 172)(43, 173)(44, 174)(45, 175)(46, 176)(47, 177)(48, 184)(49, 205)(50, 206)(51, 199)(52, 200)(53, 207)(54, 208)(55, 187)(56, 188)(57, 189)(58, 190)(59, 191)(60, 192)(61, 213)(62, 209)(63, 210)(64, 214)(65, 201)(66, 202)(67, 203)(68, 204)(69, 215)(70, 216)(71, 211)(72, 212)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144 ), ( 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144, 2, 144 ) }
Outer automorphisms :: reflexible
Dual of E28.1997
Graph:: bipartite
	v = 17 e = 144 f = 73
	degree seq :: [ 16^9, 18^8 ]

E28.1995 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 9, 72})
Quotient :: dipole
Aut^+ = C72 (small group id <72, 2>)
Aut   = D144 (small group id <144, 8>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2, Y1^-1), Y2^8 * Y1^-1, Y1^9, (Y3^-1 * Y1^-1)^8 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 14, 86, 26, 98, 37, 109, 22, 94, 11, 83, 4, 76)(3, 75, 7, 79, 15, 87, 27, 99, 42, 114, 51, 123, 36, 108, 21, 93, 10, 82)(5, 77, 8, 80, 16, 88, 28, 100, 43, 115, 52, 124, 38, 110, 23, 95, 12, 84)(9, 81, 17, 89, 29, 101, 44, 116, 56, 128, 62, 134, 50, 122, 35, 107, 20, 92)(13, 85, 18, 90, 30, 102, 45, 117, 57, 129, 63, 135, 53, 125, 39, 111, 24, 96)(19, 91, 31, 103, 46, 118, 58, 130, 66, 138, 69, 141, 61, 133, 49, 121, 34, 106)(25, 97, 32, 104, 47, 119, 59, 131, 67, 139, 70, 142, 64, 136, 54, 126, 40, 112)(33, 105, 48, 120, 60, 132, 68, 140, 72, 144, 71, 143, 65, 137, 55, 127, 41, 113)(145, 217, 147, 219, 153, 225, 163, 235, 177, 249, 176, 248, 162, 234, 152, 224, 146, 218, 151, 223, 161, 233, 175, 247, 192, 264, 191, 263, 174, 246, 160, 232, 150, 222, 159, 231, 173, 245, 190, 262, 204, 276, 203, 275, 189, 261, 172, 244, 158, 230, 171, 243, 188, 260, 202, 274, 212, 284, 211, 283, 201, 273, 187, 259, 170, 242, 186, 258, 200, 272, 210, 282, 216, 288, 214, 286, 207, 279, 196, 268, 181, 253, 195, 267, 206, 278, 213, 285, 215, 287, 208, 280, 197, 269, 182, 254, 166, 238, 180, 252, 194, 266, 205, 277, 209, 281, 198, 270, 183, 255, 167, 239, 155, 227, 165, 237, 179, 251, 193, 265, 199, 271, 184, 256, 168, 240, 156, 228, 148, 220, 154, 226, 164, 236, 178, 250, 185, 257, 169, 241, 157, 229, 149, 221)
	L = (1, 147)(2, 151)(3, 153)(4, 154)(5, 145)(6, 159)(7, 161)(8, 146)(9, 163)(10, 164)(11, 165)(12, 148)(13, 149)(14, 171)(15, 173)(16, 150)(17, 175)(18, 152)(19, 177)(20, 178)(21, 179)(22, 180)(23, 155)(24, 156)(25, 157)(26, 186)(27, 188)(28, 158)(29, 190)(30, 160)(31, 192)(32, 162)(33, 176)(34, 185)(35, 193)(36, 194)(37, 195)(38, 166)(39, 167)(40, 168)(41, 169)(42, 200)(43, 170)(44, 202)(45, 172)(46, 204)(47, 174)(48, 191)(49, 199)(50, 205)(51, 206)(52, 181)(53, 182)(54, 183)(55, 184)(56, 210)(57, 187)(58, 212)(59, 189)(60, 203)(61, 209)(62, 213)(63, 196)(64, 197)(65, 198)(66, 216)(67, 201)(68, 211)(69, 215)(70, 207)(71, 208)(72, 214)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.1996
Graph:: bipartite
	v = 9 e = 144 f = 81
	degree seq :: [ 18^8, 144 ]

E28.1996 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 9, 72})
Quotient :: dipole
Aut^+ = C72 (small group id <72, 2>)
Aut   = D144 (small group id <144, 8>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y3^-1), Y2^8, Y2^-1 * Y3^9, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^72 ]
Map::
	R = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)(145, 217, 146, 218, 150, 222, 158, 230, 170, 242, 166, 238, 155, 227, 148, 220)(147, 219, 151, 223, 159, 231, 171, 243, 185, 257, 180, 252, 165, 237, 154, 226)(149, 221, 152, 224, 160, 232, 172, 244, 186, 258, 181, 253, 167, 239, 156, 228)(153, 225, 161, 233, 173, 245, 187, 259, 199, 271, 195, 267, 179, 251, 164, 236)(157, 229, 162, 234, 174, 246, 188, 260, 200, 272, 196, 268, 182, 254, 168, 240)(163, 235, 175, 247, 189, 261, 201, 273, 209, 281, 206, 278, 194, 266, 178, 250)(169, 241, 176, 248, 190, 262, 202, 274, 210, 282, 207, 279, 197, 269, 183, 255)(177, 249, 191, 263, 203, 275, 211, 283, 215, 287, 213, 285, 205, 277, 193, 265)(184, 256, 192, 264, 204, 276, 212, 284, 216, 288, 214, 286, 208, 280, 198, 270)
	L = (1, 147)(2, 151)(3, 153)(4, 154)(5, 145)(6, 159)(7, 161)(8, 146)(9, 163)(10, 164)(11, 165)(12, 148)(13, 149)(14, 171)(15, 173)(16, 150)(17, 175)(18, 152)(19, 177)(20, 178)(21, 179)(22, 180)(23, 155)(24, 156)(25, 157)(26, 185)(27, 187)(28, 158)(29, 189)(30, 160)(31, 191)(32, 162)(33, 192)(34, 193)(35, 194)(36, 195)(37, 166)(38, 167)(39, 168)(40, 169)(41, 199)(42, 170)(43, 201)(44, 172)(45, 203)(46, 174)(47, 204)(48, 176)(49, 184)(50, 205)(51, 206)(52, 181)(53, 182)(54, 183)(55, 209)(56, 186)(57, 211)(58, 188)(59, 212)(60, 190)(61, 198)(62, 213)(63, 196)(64, 197)(65, 215)(66, 200)(67, 216)(68, 202)(69, 208)(70, 207)(71, 214)(72, 210)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 18, 144 ), ( 18, 144, 18, 144, 18, 144, 18, 144, 18, 144, 18, 144, 18, 144, 18, 144 ) }
Outer automorphisms :: reflexible
Dual of E28.1995
Graph:: simple bipartite
	v = 81 e = 144 f = 9
	degree seq :: [ 2^72, 16^9 ]

E28.1997 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 9, 72})
Quotient :: dipole
Aut^+ = C72 (small group id <72, 2>)
Aut   = D144 (small group id <144, 8>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, Y1^-2 * Y3^-1 * Y1^-7, Y3^3 * Y1^-1 * Y3 * Y1^-3 * Y3^4 * Y1^4, (Y3 * Y2^-1)^8, (Y1^-1 * Y3^-1)^9, Y1 * Y3^-1 * Y1^4 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 14, 86, 26, 98, 41, 113, 38, 110, 23, 95, 12, 84, 5, 77, 8, 80, 16, 88, 28, 100, 43, 115, 55, 127, 53, 125, 39, 111, 24, 96, 13, 85, 18, 90, 30, 102, 45, 117, 57, 129, 65, 137, 64, 136, 54, 126, 40, 112, 25, 97, 32, 104, 47, 119, 59, 131, 67, 139, 71, 143, 69, 141, 61, 133, 49, 121, 33, 105, 48, 120, 60, 132, 68, 140, 72, 144, 70, 142, 62, 134, 50, 122, 34, 106, 19, 91, 31, 103, 46, 118, 58, 130, 66, 138, 63, 135, 51, 123, 35, 107, 20, 92, 9, 81, 17, 89, 29, 101, 44, 116, 56, 128, 52, 124, 36, 108, 21, 93, 10, 82, 3, 75, 7, 79, 15, 87, 27, 99, 42, 114, 37, 109, 22, 94, 11, 83, 4, 76)(145, 217)(146, 218)(147, 219)(148, 220)(149, 221)(150, 222)(151, 223)(152, 224)(153, 225)(154, 226)(155, 227)(156, 228)(157, 229)(158, 230)(159, 231)(160, 232)(161, 233)(162, 234)(163, 235)(164, 236)(165, 237)(166, 238)(167, 239)(168, 240)(169, 241)(170, 242)(171, 243)(172, 244)(173, 245)(174, 246)(175, 247)(176, 248)(177, 249)(178, 250)(179, 251)(180, 252)(181, 253)(182, 254)(183, 255)(184, 256)(185, 257)(186, 258)(187, 259)(188, 260)(189, 261)(190, 262)(191, 263)(192, 264)(193, 265)(194, 266)(195, 267)(196, 268)(197, 269)(198, 270)(199, 271)(200, 272)(201, 273)(202, 274)(203, 275)(204, 276)(205, 277)(206, 278)(207, 279)(208, 280)(209, 281)(210, 282)(211, 283)(212, 284)(213, 285)(214, 286)(215, 287)(216, 288)
	L = (1, 147)(2, 151)(3, 153)(4, 154)(5, 145)(6, 159)(7, 161)(8, 146)(9, 163)(10, 164)(11, 165)(12, 148)(13, 149)(14, 171)(15, 173)(16, 150)(17, 175)(18, 152)(19, 177)(20, 178)(21, 179)(22, 180)(23, 155)(24, 156)(25, 157)(26, 186)(27, 188)(28, 158)(29, 190)(30, 160)(31, 192)(32, 162)(33, 169)(34, 193)(35, 194)(36, 195)(37, 196)(38, 166)(39, 167)(40, 168)(41, 181)(42, 200)(43, 170)(44, 202)(45, 172)(46, 204)(47, 174)(48, 176)(49, 184)(50, 205)(51, 206)(52, 207)(53, 182)(54, 183)(55, 185)(56, 210)(57, 187)(58, 212)(59, 189)(60, 191)(61, 198)(62, 213)(63, 214)(64, 197)(65, 199)(66, 216)(67, 201)(68, 203)(69, 208)(70, 215)(71, 209)(72, 211)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 16, 18 ), ( 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18, 16, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.1994
Graph:: bipartite
	v = 73 e = 144 f = 17
	degree seq :: [ 2^72, 144 ]

E28.1998 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 9, 72})
Quotient :: dipole
Aut^+ = C72 (small group id <72, 2>)
Aut   = D144 (small group id <144, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y2^-1), (Y2, Y1^-1), Y3^8, Y1^8, Y3 * Y2^-9, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 14, 86, 26, 98, 22, 94, 11, 83, 4, 76)(3, 75, 7, 79, 15, 87, 27, 99, 41, 113, 36, 108, 21, 93, 10, 82)(5, 77, 8, 80, 16, 88, 28, 100, 42, 114, 37, 109, 23, 95, 12, 84)(9, 81, 17, 89, 29, 101, 43, 115, 55, 127, 52, 124, 35, 107, 20, 92)(13, 85, 18, 90, 30, 102, 44, 116, 56, 128, 53, 125, 38, 110, 24, 96)(19, 91, 31, 103, 45, 117, 57, 129, 65, 137, 63, 135, 51, 123, 34, 106)(25, 97, 32, 104, 46, 118, 58, 130, 66, 138, 64, 136, 54, 126, 39, 111)(33, 105, 47, 119, 59, 131, 67, 139, 71, 143, 70, 142, 62, 134, 50, 122)(40, 112, 48, 120, 60, 132, 68, 140, 72, 144, 69, 141, 61, 133, 49, 121)(145, 217, 147, 219, 153, 225, 163, 235, 177, 249, 193, 265, 183, 255, 168, 240, 156, 228, 148, 220, 154, 226, 164, 236, 178, 250, 194, 266, 205, 277, 198, 270, 182, 254, 167, 239, 155, 227, 165, 237, 179, 251, 195, 267, 206, 278, 213, 285, 208, 280, 197, 269, 181, 253, 166, 238, 180, 252, 196, 268, 207, 279, 214, 286, 216, 288, 210, 282, 200, 272, 186, 258, 170, 242, 185, 257, 199, 271, 209, 281, 215, 287, 212, 284, 202, 274, 188, 260, 172, 244, 158, 230, 171, 243, 187, 259, 201, 273, 211, 283, 204, 276, 190, 262, 174, 246, 160, 232, 150, 222, 159, 231, 173, 245, 189, 261, 203, 275, 192, 264, 176, 248, 162, 234, 152, 224, 146, 218, 151, 223, 161, 233, 175, 247, 191, 263, 184, 256, 169, 241, 157, 229, 149, 221)
	L = (1, 148)(2, 145)(3, 154)(4, 155)(5, 156)(6, 146)(7, 147)(8, 149)(9, 164)(10, 165)(11, 166)(12, 167)(13, 168)(14, 150)(15, 151)(16, 152)(17, 153)(18, 157)(19, 178)(20, 179)(21, 180)(22, 170)(23, 181)(24, 182)(25, 183)(26, 158)(27, 159)(28, 160)(29, 161)(30, 162)(31, 163)(32, 169)(33, 194)(34, 195)(35, 196)(36, 185)(37, 186)(38, 197)(39, 198)(40, 193)(41, 171)(42, 172)(43, 173)(44, 174)(45, 175)(46, 176)(47, 177)(48, 184)(49, 205)(50, 206)(51, 207)(52, 199)(53, 200)(54, 208)(55, 187)(56, 188)(57, 189)(58, 190)(59, 191)(60, 192)(61, 213)(62, 214)(63, 209)(64, 210)(65, 201)(66, 202)(67, 203)(68, 204)(69, 216)(70, 215)(71, 211)(72, 212)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ), ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.1999
Graph:: bipartite
	v = 10 e = 144 f = 80
	degree seq :: [ 16^9, 144 ]

E28.1999 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 9, 72})
Quotient :: dipole
Aut^+ = C72 (small group id <72, 2>)
Aut   = D144 (small group id <144, 8>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, Y3^-8 * Y1, Y1^9, (Y1^-1 * Y3^-1)^8, (Y3 * Y2^-1)^72 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 14, 86, 26, 98, 37, 109, 22, 94, 11, 83, 4, 76)(3, 75, 7, 79, 15, 87, 27, 99, 42, 114, 51, 123, 36, 108, 21, 93, 10, 82)(5, 77, 8, 80, 16, 88, 28, 100, 43, 115, 52, 124, 38, 110, 23, 95, 12, 84)(9, 81, 17, 89, 29, 101, 44, 116, 56, 128, 62, 134, 50, 122, 35, 107, 20, 92)(13, 85, 18, 90, 30, 102, 45, 117, 57, 129, 63, 135, 53, 125, 39, 111, 24, 96)(19, 91, 31, 103, 46, 118, 58, 130, 66, 138, 69, 141, 61, 133, 49, 121, 34, 106)(25, 97, 32, 104, 47, 119, 59, 131, 67, 139, 70, 142, 64, 136, 54, 126, 40, 112)(33, 105, 48, 120, 60, 132, 68, 140, 72, 144, 71, 143, 65, 137, 55, 127, 41, 113)(145, 217)(146, 218)(147, 219)(148, 220)(149, 221)(150, 222)(151, 223)(152, 224)(153, 225)(154, 226)(155, 227)(156, 228)(157, 229)(158, 230)(159, 231)(160, 232)(161, 233)(162, 234)(163, 235)(164, 236)(165, 237)(166, 238)(167, 239)(168, 240)(169, 241)(170, 242)(171, 243)(172, 244)(173, 245)(174, 246)(175, 247)(176, 248)(177, 249)(178, 250)(179, 251)(180, 252)(181, 253)(182, 254)(183, 255)(184, 256)(185, 257)(186, 258)(187, 259)(188, 260)(189, 261)(190, 262)(191, 263)(192, 264)(193, 265)(194, 266)(195, 267)(196, 268)(197, 269)(198, 270)(199, 271)(200, 272)(201, 273)(202, 274)(203, 275)(204, 276)(205, 277)(206, 278)(207, 279)(208, 280)(209, 281)(210, 282)(211, 283)(212, 284)(213, 285)(214, 286)(215, 287)(216, 288)
	L = (1, 147)(2, 151)(3, 153)(4, 154)(5, 145)(6, 159)(7, 161)(8, 146)(9, 163)(10, 164)(11, 165)(12, 148)(13, 149)(14, 171)(15, 173)(16, 150)(17, 175)(18, 152)(19, 177)(20, 178)(21, 179)(22, 180)(23, 155)(24, 156)(25, 157)(26, 186)(27, 188)(28, 158)(29, 190)(30, 160)(31, 192)(32, 162)(33, 176)(34, 185)(35, 193)(36, 194)(37, 195)(38, 166)(39, 167)(40, 168)(41, 169)(42, 200)(43, 170)(44, 202)(45, 172)(46, 204)(47, 174)(48, 191)(49, 199)(50, 205)(51, 206)(52, 181)(53, 182)(54, 183)(55, 184)(56, 210)(57, 187)(58, 212)(59, 189)(60, 203)(61, 209)(62, 213)(63, 196)(64, 197)(65, 198)(66, 216)(67, 201)(68, 211)(69, 215)(70, 207)(71, 208)(72, 214)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 16, 144 ), ( 16, 144, 16, 144, 16, 144, 16, 144, 16, 144, 16, 144, 16, 144, 16, 144, 16, 144 ) }
Outer automorphisms :: reflexible
Dual of E28.1998
Graph:: simple bipartite
	v = 80 e = 144 f = 10
	degree seq :: [ 2^72, 18^8 ]

E28.2000 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 38, 76})
Quotient :: edge
Aut^+ = C76 (small group id <76, 2>)
Aut   = D152 (small group id <152, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1, T1^-1), T2^-19 * T1^2 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 25, 33, 41, 49, 57, 65, 73, 70, 62, 54, 46, 38, 30, 22, 14, 6, 13, 21, 29, 37, 45, 53, 61, 69, 76, 68, 60, 52, 44, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 47, 55, 63, 71, 75, 67, 59, 51, 43, 35, 27, 19, 11, 4, 10, 18, 26, 34, 42, 50, 58, 66, 74, 72, 64, 56, 48, 40, 32, 24, 16, 8)(77, 78, 82, 80)(79, 83, 89, 86)(81, 84, 90, 87)(85, 91, 97, 94)(88, 92, 98, 95)(93, 99, 105, 102)(96, 100, 106, 103)(101, 107, 113, 110)(104, 108, 114, 111)(109, 115, 121, 118)(112, 116, 122, 119)(117, 123, 129, 126)(120, 124, 130, 127)(125, 131, 137, 134)(128, 132, 138, 135)(133, 139, 145, 142)(136, 140, 146, 143)(141, 147, 152, 150)(144, 148, 149, 151)
	L = (1, 77)(2, 78)(3, 79)(4, 80)(5, 81)(6, 82)(7, 83)(8, 84)(9, 85)(10, 86)(11, 87)(12, 88)(13, 89)(14, 90)(15, 91)(16, 92)(17, 93)(18, 94)(19, 95)(20, 96)(21, 97)(22, 98)(23, 99)(24, 100)(25, 101)(26, 102)(27, 103)(28, 104)(29, 105)(30, 106)(31, 107)(32, 108)(33, 109)(34, 110)(35, 111)(36, 112)(37, 113)(38, 114)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 152^4 ), ( 152^38 ) }
Outer automorphisms :: reflexible
Dual of E28.2004
Transitivity :: ET+
Graph:: bipartite
	v = 21 e = 76 f = 1
	degree seq :: [ 4^19, 38^2 ]

E28.2001 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 38, 76})
Quotient :: edge
Aut^+ = C76 (small group id <76, 2>)
Aut   = D152 (small group id <152, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^-1 * T1^-1 * T2^-1 * T1^-3 * T2^-2, T2^17 * T1^-1 * T2, T1^11 * T2^-1 * T1 * T2^-5 * T1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 41, 49, 57, 65, 73, 69, 64, 55, 46, 37, 32, 18, 8, 2, 7, 17, 31, 22, 36, 44, 52, 60, 68, 76, 72, 63, 54, 45, 40, 30, 16, 6, 15, 29, 23, 11, 21, 35, 43, 51, 59, 67, 75, 71, 62, 53, 48, 39, 28, 14, 27, 24, 12, 4, 10, 20, 34, 42, 50, 58, 66, 74, 70, 61, 56, 47, 38, 26, 25, 13, 5)(77, 78, 82, 90, 102, 113, 121, 129, 137, 145, 152, 143, 134, 125, 120, 111, 96, 85, 93, 105, 100, 89, 94, 106, 115, 123, 131, 139, 147, 150, 141, 136, 127, 118, 109, 98, 87, 80)(79, 83, 91, 103, 101, 108, 116, 124, 132, 140, 148, 151, 142, 133, 128, 119, 110, 95, 107, 99, 88, 81, 84, 92, 104, 114, 122, 130, 138, 146, 149, 144, 135, 126, 117, 112, 97, 86)
	L = (1, 77)(2, 78)(3, 79)(4, 80)(5, 81)(6, 82)(7, 83)(8, 84)(9, 85)(10, 86)(11, 87)(12, 88)(13, 89)(14, 90)(15, 91)(16, 92)(17, 93)(18, 94)(19, 95)(20, 96)(21, 97)(22, 98)(23, 99)(24, 100)(25, 101)(26, 102)(27, 103)(28, 104)(29, 105)(30, 106)(31, 107)(32, 108)(33, 109)(34, 110)(35, 111)(36, 112)(37, 113)(38, 114)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 8^38 ), ( 8^76 ) }
Outer automorphisms :: reflexible
Dual of E28.2005
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 76 f = 19
	degree seq :: [ 38^2, 76 ]

E28.2002 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 38, 76})
Quotient :: edge
Aut^+ = C76 (small group id <76, 2>)
Aut   = D152 (small group id <152, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T2^4, (T1, T2^-1), T1^-19 * T2^-1, (T1^-1 * T2^-1)^38 ]
Map:: non-degenerate
	R = (1, 3, 9, 5)(2, 7, 16, 8)(4, 10, 17, 12)(6, 14, 24, 15)(11, 18, 25, 20)(13, 22, 32, 23)(19, 26, 33, 28)(21, 30, 40, 31)(27, 34, 41, 36)(29, 38, 48, 39)(35, 42, 49, 44)(37, 46, 56, 47)(43, 50, 57, 52)(45, 54, 64, 55)(51, 58, 65, 60)(53, 62, 72, 63)(59, 66, 73, 68)(61, 70, 76, 71)(67, 74, 75, 69)(77, 78, 82, 89, 97, 105, 113, 121, 129, 137, 145, 144, 136, 128, 120, 112, 104, 96, 88, 81, 84, 91, 99, 107, 115, 123, 131, 139, 147, 151, 149, 141, 133, 125, 117, 109, 101, 93, 85, 92, 100, 108, 116, 124, 132, 140, 148, 152, 150, 142, 134, 126, 118, 110, 102, 94, 86, 79, 83, 90, 98, 106, 114, 122, 130, 138, 146, 143, 135, 127, 119, 111, 103, 95, 87, 80)
	L = (1, 77)(2, 78)(3, 79)(4, 80)(5, 81)(6, 82)(7, 83)(8, 84)(9, 85)(10, 86)(11, 87)(12, 88)(13, 89)(14, 90)(15, 91)(16, 92)(17, 93)(18, 94)(19, 95)(20, 96)(21, 97)(22, 98)(23, 99)(24, 100)(25, 101)(26, 102)(27, 103)(28, 104)(29, 105)(30, 106)(31, 107)(32, 108)(33, 109)(34, 110)(35, 111)(36, 112)(37, 113)(38, 114)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 76^4 ), ( 76^76 ) }
Outer automorphisms :: reflexible
Dual of E28.2003
Transitivity :: ET+
Graph:: bipartite
	v = 20 e = 76 f = 2
	degree seq :: [ 4^19, 76 ]

E28.2003 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 38, 76})
Quotient :: loop
Aut^+ = C76 (small group id <76, 2>)
Aut   = D152 (small group id <152, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1, T1^-1), T2^-19 * T1^2 ]
Map:: non-degenerate
	R = (1, 77, 3, 79, 9, 85, 17, 93, 25, 101, 33, 109, 41, 117, 49, 125, 57, 133, 65, 141, 73, 149, 70, 146, 62, 138, 54, 130, 46, 122, 38, 114, 30, 106, 22, 98, 14, 90, 6, 82, 13, 89, 21, 97, 29, 105, 37, 113, 45, 121, 53, 129, 61, 137, 69, 145, 76, 152, 68, 144, 60, 136, 52, 128, 44, 120, 36, 112, 28, 104, 20, 96, 12, 88, 5, 81)(2, 78, 7, 83, 15, 91, 23, 99, 31, 107, 39, 115, 47, 123, 55, 131, 63, 139, 71, 147, 75, 151, 67, 143, 59, 135, 51, 127, 43, 119, 35, 111, 27, 103, 19, 95, 11, 87, 4, 80, 10, 86, 18, 94, 26, 102, 34, 110, 42, 118, 50, 126, 58, 134, 66, 142, 74, 150, 72, 148, 64, 140, 56, 132, 48, 124, 40, 116, 32, 108, 24, 100, 16, 92, 8, 84)
	L = (1, 78)(2, 82)(3, 83)(4, 77)(5, 84)(6, 80)(7, 89)(8, 90)(9, 91)(10, 79)(11, 81)(12, 92)(13, 86)(14, 87)(15, 97)(16, 98)(17, 99)(18, 85)(19, 88)(20, 100)(21, 94)(22, 95)(23, 105)(24, 106)(25, 107)(26, 93)(27, 96)(28, 108)(29, 102)(30, 103)(31, 113)(32, 114)(33, 115)(34, 101)(35, 104)(36, 116)(37, 110)(38, 111)(39, 121)(40, 122)(41, 123)(42, 109)(43, 112)(44, 124)(45, 118)(46, 119)(47, 129)(48, 130)(49, 131)(50, 117)(51, 120)(52, 132)(53, 126)(54, 127)(55, 137)(56, 138)(57, 139)(58, 125)(59, 128)(60, 140)(61, 134)(62, 135)(63, 145)(64, 146)(65, 147)(66, 133)(67, 136)(68, 148)(69, 142)(70, 143)(71, 152)(72, 149)(73, 151)(74, 141)(75, 144)(76, 150)
	local type(s) :: { ( 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76 ) }
Outer automorphisms :: reflexible
Dual of E28.2002
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 76 f = 20
	degree seq :: [ 76^2 ]

E28.2004 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 38, 76})
Quotient :: loop
Aut^+ = C76 (small group id <76, 2>)
Aut   = D152 (small group id <152, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^-1 * T1^-1 * T2^-1 * T1^-3 * T2^-2, T2^17 * T1^-1 * T2, T1^11 * T2^-1 * T1 * T2^-5 * T1 ]
Map:: non-degenerate
	R = (1, 77, 3, 79, 9, 85, 19, 95, 33, 109, 41, 117, 49, 125, 57, 133, 65, 141, 73, 149, 69, 145, 64, 140, 55, 131, 46, 122, 37, 113, 32, 108, 18, 94, 8, 84, 2, 78, 7, 83, 17, 93, 31, 107, 22, 98, 36, 112, 44, 120, 52, 128, 60, 136, 68, 144, 76, 152, 72, 148, 63, 139, 54, 130, 45, 121, 40, 116, 30, 106, 16, 92, 6, 82, 15, 91, 29, 105, 23, 99, 11, 87, 21, 97, 35, 111, 43, 119, 51, 127, 59, 135, 67, 143, 75, 151, 71, 147, 62, 138, 53, 129, 48, 124, 39, 115, 28, 104, 14, 90, 27, 103, 24, 100, 12, 88, 4, 80, 10, 86, 20, 96, 34, 110, 42, 118, 50, 126, 58, 134, 66, 142, 74, 150, 70, 146, 61, 137, 56, 132, 47, 123, 38, 114, 26, 102, 25, 101, 13, 89, 5, 81)
	L = (1, 78)(2, 82)(3, 83)(4, 77)(5, 84)(6, 90)(7, 91)(8, 92)(9, 93)(10, 79)(11, 80)(12, 81)(13, 94)(14, 102)(15, 103)(16, 104)(17, 105)(18, 106)(19, 107)(20, 85)(21, 86)(22, 87)(23, 88)(24, 89)(25, 108)(26, 113)(27, 101)(28, 114)(29, 100)(30, 115)(31, 99)(32, 116)(33, 98)(34, 95)(35, 96)(36, 97)(37, 121)(38, 122)(39, 123)(40, 124)(41, 112)(42, 109)(43, 110)(44, 111)(45, 129)(46, 130)(47, 131)(48, 132)(49, 120)(50, 117)(51, 118)(52, 119)(53, 137)(54, 138)(55, 139)(56, 140)(57, 128)(58, 125)(59, 126)(60, 127)(61, 145)(62, 146)(63, 147)(64, 148)(65, 136)(66, 133)(67, 134)(68, 135)(69, 152)(70, 149)(71, 150)(72, 151)(73, 144)(74, 141)(75, 142)(76, 143)
	local type(s) :: { ( 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38 ) }
Outer automorphisms :: reflexible
Dual of E28.2000
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 76 f = 21
	degree seq :: [ 152 ]

E28.2005 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 38, 76})
Quotient :: loop
Aut^+ = C76 (small group id <76, 2>)
Aut   = D152 (small group id <152, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T2^4, (T1, T2^-1), T1^-19 * T2^-1, (T1^-1 * T2^-1)^38 ]
Map:: non-degenerate
	R = (1, 77, 3, 79, 9, 85, 5, 81)(2, 78, 7, 83, 16, 92, 8, 84)(4, 80, 10, 86, 17, 93, 12, 88)(6, 82, 14, 90, 24, 100, 15, 91)(11, 87, 18, 94, 25, 101, 20, 96)(13, 89, 22, 98, 32, 108, 23, 99)(19, 95, 26, 102, 33, 109, 28, 104)(21, 97, 30, 106, 40, 116, 31, 107)(27, 103, 34, 110, 41, 117, 36, 112)(29, 105, 38, 114, 48, 124, 39, 115)(35, 111, 42, 118, 49, 125, 44, 120)(37, 113, 46, 122, 56, 132, 47, 123)(43, 119, 50, 126, 57, 133, 52, 128)(45, 121, 54, 130, 64, 140, 55, 131)(51, 127, 58, 134, 65, 141, 60, 136)(53, 129, 62, 138, 72, 148, 63, 139)(59, 135, 66, 142, 73, 149, 68, 144)(61, 137, 70, 146, 76, 152, 71, 147)(67, 143, 74, 150, 75, 151, 69, 145)
	L = (1, 78)(2, 82)(3, 83)(4, 77)(5, 84)(6, 89)(7, 90)(8, 91)(9, 92)(10, 79)(11, 80)(12, 81)(13, 97)(14, 98)(15, 99)(16, 100)(17, 85)(18, 86)(19, 87)(20, 88)(21, 105)(22, 106)(23, 107)(24, 108)(25, 93)(26, 94)(27, 95)(28, 96)(29, 113)(30, 114)(31, 115)(32, 116)(33, 101)(34, 102)(35, 103)(36, 104)(37, 121)(38, 122)(39, 123)(40, 124)(41, 109)(42, 110)(43, 111)(44, 112)(45, 129)(46, 130)(47, 131)(48, 132)(49, 117)(50, 118)(51, 119)(52, 120)(53, 137)(54, 138)(55, 139)(56, 140)(57, 125)(58, 126)(59, 127)(60, 128)(61, 145)(62, 146)(63, 147)(64, 148)(65, 133)(66, 134)(67, 135)(68, 136)(69, 144)(70, 143)(71, 151)(72, 152)(73, 141)(74, 142)(75, 149)(76, 150)
	local type(s) :: { ( 38, 76, 38, 76, 38, 76, 38, 76 ) }
Outer automorphisms :: reflexible
Dual of E28.2001
Transitivity :: ET+ VT+ AT
Graph::
	v = 19 e = 76 f = 3
	degree seq :: [ 8^19 ]

E28.2006 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 38, 76})
Quotient :: dipole
Aut^+ = C76 (small group id <76, 2>)
Aut   = D152 (small group id <152, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y1^4, Y1^4, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2^-1), (Y2^-1, Y1^-1), Y1^4, Y2^19 * Y1^2, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 77, 2, 78, 6, 82, 4, 80)(3, 79, 7, 83, 13, 89, 10, 86)(5, 81, 8, 84, 14, 90, 11, 87)(9, 85, 15, 91, 21, 97, 18, 94)(12, 88, 16, 92, 22, 98, 19, 95)(17, 93, 23, 99, 29, 105, 26, 102)(20, 96, 24, 100, 30, 106, 27, 103)(25, 101, 31, 107, 37, 113, 34, 110)(28, 104, 32, 108, 38, 114, 35, 111)(33, 109, 39, 115, 45, 121, 42, 118)(36, 112, 40, 116, 46, 122, 43, 119)(41, 117, 47, 123, 53, 129, 50, 126)(44, 120, 48, 124, 54, 130, 51, 127)(49, 125, 55, 131, 61, 137, 58, 134)(52, 128, 56, 132, 62, 138, 59, 135)(57, 133, 63, 139, 69, 145, 66, 142)(60, 136, 64, 140, 70, 146, 67, 143)(65, 141, 71, 147, 76, 152, 74, 150)(68, 144, 72, 148, 73, 149, 75, 151)(153, 229, 155, 231, 161, 237, 169, 245, 177, 253, 185, 261, 193, 269, 201, 277, 209, 285, 217, 293, 225, 301, 222, 298, 214, 290, 206, 282, 198, 274, 190, 266, 182, 258, 174, 250, 166, 242, 158, 234, 165, 241, 173, 249, 181, 257, 189, 265, 197, 273, 205, 281, 213, 289, 221, 297, 228, 304, 220, 296, 212, 288, 204, 280, 196, 272, 188, 264, 180, 256, 172, 248, 164, 240, 157, 233)(154, 230, 159, 235, 167, 243, 175, 251, 183, 259, 191, 267, 199, 275, 207, 283, 215, 291, 223, 299, 227, 303, 219, 295, 211, 287, 203, 279, 195, 271, 187, 263, 179, 255, 171, 247, 163, 239, 156, 232, 162, 238, 170, 246, 178, 254, 186, 262, 194, 270, 202, 278, 210, 286, 218, 294, 226, 302, 224, 300, 216, 292, 208, 284, 200, 276, 192, 268, 184, 260, 176, 252, 168, 244, 160, 236)
	L = (1, 156)(2, 153)(3, 162)(4, 158)(5, 163)(6, 154)(7, 155)(8, 157)(9, 170)(10, 165)(11, 166)(12, 171)(13, 159)(14, 160)(15, 161)(16, 164)(17, 178)(18, 173)(19, 174)(20, 179)(21, 167)(22, 168)(23, 169)(24, 172)(25, 186)(26, 181)(27, 182)(28, 187)(29, 175)(30, 176)(31, 177)(32, 180)(33, 194)(34, 189)(35, 190)(36, 195)(37, 183)(38, 184)(39, 185)(40, 188)(41, 202)(42, 197)(43, 198)(44, 203)(45, 191)(46, 192)(47, 193)(48, 196)(49, 210)(50, 205)(51, 206)(52, 211)(53, 199)(54, 200)(55, 201)(56, 204)(57, 218)(58, 213)(59, 214)(60, 219)(61, 207)(62, 208)(63, 209)(64, 212)(65, 226)(66, 221)(67, 222)(68, 227)(69, 215)(70, 216)(71, 217)(72, 220)(73, 224)(74, 228)(75, 225)(76, 223)(77, 229)(78, 230)(79, 231)(80, 232)(81, 233)(82, 234)(83, 235)(84, 236)(85, 237)(86, 238)(87, 239)(88, 240)(89, 241)(90, 242)(91, 243)(92, 244)(93, 245)(94, 246)(95, 247)(96, 248)(97, 249)(98, 250)(99, 251)(100, 252)(101, 253)(102, 254)(103, 255)(104, 256)(105, 257)(106, 258)(107, 259)(108, 260)(109, 261)(110, 262)(111, 263)(112, 264)(113, 265)(114, 266)(115, 267)(116, 268)(117, 269)(118, 270)(119, 271)(120, 272)(121, 273)(122, 274)(123, 275)(124, 276)(125, 277)(126, 278)(127, 279)(128, 280)(129, 281)(130, 282)(131, 283)(132, 284)(133, 285)(134, 286)(135, 287)(136, 288)(137, 289)(138, 290)(139, 291)(140, 292)(141, 293)(142, 294)(143, 295)(144, 296)(145, 297)(146, 298)(147, 299)(148, 300)(149, 301)(150, 302)(151, 303)(152, 304)
	local type(s) :: { ( 2, 152, 2, 152, 2, 152, 2, 152 ), ( 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152, 2, 152 ) }
Outer automorphisms :: reflexible
Dual of E28.2009
Graph:: bipartite
	v = 21 e = 152 f = 77
	degree seq :: [ 8^19, 76^2 ]

E28.2007 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 38, 76})
Quotient :: dipole
Aut^+ = C76 (small group id <76, 2>)
Aut   = D152 (small group id <152, 5>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (Y2, Y1^-1), Y2^4 * Y1^4, (Y3^-1 * Y1^-1)^4, Y2^-10 * Y1^9, Y1^38, Y1^-152 ]
Map::
	R = (1, 77, 2, 78, 6, 82, 14, 90, 26, 102, 37, 113, 45, 121, 53, 129, 61, 137, 69, 145, 76, 152, 67, 143, 58, 134, 49, 125, 44, 120, 35, 111, 20, 96, 9, 85, 17, 93, 29, 105, 24, 100, 13, 89, 18, 94, 30, 106, 39, 115, 47, 123, 55, 131, 63, 139, 71, 147, 74, 150, 65, 141, 60, 136, 51, 127, 42, 118, 33, 109, 22, 98, 11, 87, 4, 80)(3, 79, 7, 83, 15, 91, 27, 103, 25, 101, 32, 108, 40, 116, 48, 124, 56, 132, 64, 140, 72, 148, 75, 151, 66, 142, 57, 133, 52, 128, 43, 119, 34, 110, 19, 95, 31, 107, 23, 99, 12, 88, 5, 81, 8, 84, 16, 92, 28, 104, 38, 114, 46, 122, 54, 130, 62, 138, 70, 146, 73, 149, 68, 144, 59, 135, 50, 126, 41, 117, 36, 112, 21, 97, 10, 86)(153, 229, 155, 231, 161, 237, 171, 247, 185, 261, 193, 269, 201, 277, 209, 285, 217, 293, 225, 301, 221, 297, 216, 292, 207, 283, 198, 274, 189, 265, 184, 260, 170, 246, 160, 236, 154, 230, 159, 235, 169, 245, 183, 259, 174, 250, 188, 264, 196, 272, 204, 280, 212, 288, 220, 296, 228, 304, 224, 300, 215, 291, 206, 282, 197, 273, 192, 268, 182, 258, 168, 244, 158, 234, 167, 243, 181, 257, 175, 251, 163, 239, 173, 249, 187, 263, 195, 271, 203, 279, 211, 287, 219, 295, 227, 303, 223, 299, 214, 290, 205, 281, 200, 276, 191, 267, 180, 256, 166, 242, 179, 255, 176, 252, 164, 240, 156, 232, 162, 238, 172, 248, 186, 262, 194, 270, 202, 278, 210, 286, 218, 294, 226, 302, 222, 298, 213, 289, 208, 284, 199, 275, 190, 266, 178, 254, 177, 253, 165, 241, 157, 233)
	L = (1, 155)(2, 159)(3, 161)(4, 162)(5, 153)(6, 167)(7, 169)(8, 154)(9, 171)(10, 172)(11, 173)(12, 156)(13, 157)(14, 179)(15, 181)(16, 158)(17, 183)(18, 160)(19, 185)(20, 186)(21, 187)(22, 188)(23, 163)(24, 164)(25, 165)(26, 177)(27, 176)(28, 166)(29, 175)(30, 168)(31, 174)(32, 170)(33, 193)(34, 194)(35, 195)(36, 196)(37, 184)(38, 178)(39, 180)(40, 182)(41, 201)(42, 202)(43, 203)(44, 204)(45, 192)(46, 189)(47, 190)(48, 191)(49, 209)(50, 210)(51, 211)(52, 212)(53, 200)(54, 197)(55, 198)(56, 199)(57, 217)(58, 218)(59, 219)(60, 220)(61, 208)(62, 205)(63, 206)(64, 207)(65, 225)(66, 226)(67, 227)(68, 228)(69, 216)(70, 213)(71, 214)(72, 215)(73, 221)(74, 222)(75, 223)(76, 224)(77, 229)(78, 230)(79, 231)(80, 232)(81, 233)(82, 234)(83, 235)(84, 236)(85, 237)(86, 238)(87, 239)(88, 240)(89, 241)(90, 242)(91, 243)(92, 244)(93, 245)(94, 246)(95, 247)(96, 248)(97, 249)(98, 250)(99, 251)(100, 252)(101, 253)(102, 254)(103, 255)(104, 256)(105, 257)(106, 258)(107, 259)(108, 260)(109, 261)(110, 262)(111, 263)(112, 264)(113, 265)(114, 266)(115, 267)(116, 268)(117, 269)(118, 270)(119, 271)(120, 272)(121, 273)(122, 274)(123, 275)(124, 276)(125, 277)(126, 278)(127, 279)(128, 280)(129, 281)(130, 282)(131, 283)(132, 284)(133, 285)(134, 286)(135, 287)(136, 288)(137, 289)(138, 290)(139, 291)(140, 292)(141, 293)(142, 294)(143, 295)(144, 296)(145, 297)(146, 298)(147, 299)(148, 300)(149, 301)(150, 302)(151, 303)(152, 304)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.2008
Graph:: bipartite
	v = 3 e = 152 f = 95
	degree seq :: [ 76^2, 152 ]

E28.2008 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 38, 76})
Quotient :: dipole
Aut^+ = C76 (small group id <76, 2>)
Aut   = D152 (small group id <152, 5>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^4, (Y2, Y3^-1), Y2^-1 * Y3^19, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^76 ]
Map::
	R = (1, 77)(2, 78)(3, 79)(4, 80)(5, 81)(6, 82)(7, 83)(8, 84)(9, 85)(10, 86)(11, 87)(12, 88)(13, 89)(14, 90)(15, 91)(16, 92)(17, 93)(18, 94)(19, 95)(20, 96)(21, 97)(22, 98)(23, 99)(24, 100)(25, 101)(26, 102)(27, 103)(28, 104)(29, 105)(30, 106)(31, 107)(32, 108)(33, 109)(34, 110)(35, 111)(36, 112)(37, 113)(38, 114)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)(153, 229, 154, 230, 158, 234, 156, 232)(155, 231, 159, 235, 165, 241, 162, 238)(157, 233, 160, 236, 166, 242, 163, 239)(161, 237, 167, 243, 173, 249, 170, 246)(164, 240, 168, 244, 174, 250, 171, 247)(169, 245, 175, 251, 181, 257, 178, 254)(172, 248, 176, 252, 182, 258, 179, 255)(177, 253, 183, 259, 189, 265, 186, 262)(180, 256, 184, 260, 190, 266, 187, 263)(185, 261, 191, 267, 197, 273, 194, 270)(188, 264, 192, 268, 198, 274, 195, 271)(193, 269, 199, 275, 205, 281, 202, 278)(196, 272, 200, 276, 206, 282, 203, 279)(201, 277, 207, 283, 213, 289, 210, 286)(204, 280, 208, 284, 214, 290, 211, 287)(209, 285, 215, 291, 221, 297, 218, 294)(212, 288, 216, 292, 222, 298, 219, 295)(217, 293, 223, 299, 227, 303, 225, 301)(220, 296, 224, 300, 228, 304, 226, 302)
	L = (1, 155)(2, 159)(3, 161)(4, 162)(5, 153)(6, 165)(7, 167)(8, 154)(9, 169)(10, 170)(11, 156)(12, 157)(13, 173)(14, 158)(15, 175)(16, 160)(17, 177)(18, 178)(19, 163)(20, 164)(21, 181)(22, 166)(23, 183)(24, 168)(25, 185)(26, 186)(27, 171)(28, 172)(29, 189)(30, 174)(31, 191)(32, 176)(33, 193)(34, 194)(35, 179)(36, 180)(37, 197)(38, 182)(39, 199)(40, 184)(41, 201)(42, 202)(43, 187)(44, 188)(45, 205)(46, 190)(47, 207)(48, 192)(49, 209)(50, 210)(51, 195)(52, 196)(53, 213)(54, 198)(55, 215)(56, 200)(57, 217)(58, 218)(59, 203)(60, 204)(61, 221)(62, 206)(63, 223)(64, 208)(65, 224)(66, 225)(67, 211)(68, 212)(69, 227)(70, 214)(71, 228)(72, 216)(73, 220)(74, 219)(75, 226)(76, 222)(77, 229)(78, 230)(79, 231)(80, 232)(81, 233)(82, 234)(83, 235)(84, 236)(85, 237)(86, 238)(87, 239)(88, 240)(89, 241)(90, 242)(91, 243)(92, 244)(93, 245)(94, 246)(95, 247)(96, 248)(97, 249)(98, 250)(99, 251)(100, 252)(101, 253)(102, 254)(103, 255)(104, 256)(105, 257)(106, 258)(107, 259)(108, 260)(109, 261)(110, 262)(111, 263)(112, 264)(113, 265)(114, 266)(115, 267)(116, 268)(117, 269)(118, 270)(119, 271)(120, 272)(121, 273)(122, 274)(123, 275)(124, 276)(125, 277)(126, 278)(127, 279)(128, 280)(129, 281)(130, 282)(131, 283)(132, 284)(133, 285)(134, 286)(135, 287)(136, 288)(137, 289)(138, 290)(139, 291)(140, 292)(141, 293)(142, 294)(143, 295)(144, 296)(145, 297)(146, 298)(147, 299)(148, 300)(149, 301)(150, 302)(151, 303)(152, 304)
	local type(s) :: { ( 76, 152 ), ( 76, 152, 76, 152, 76, 152, 76, 152 ) }
Outer automorphisms :: reflexible
Dual of E28.2007
Graph:: simple bipartite
	v = 95 e = 152 f = 3
	degree seq :: [ 2^76, 8^19 ]

E28.2009 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 38, 76})
Quotient :: dipole
Aut^+ = C76 (small group id <76, 2>)
Aut   = D152 (small group id <152, 5>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4, Y1^-19 * Y3^-1, (Y1^-1 * Y3^-1)^38 ]
Map::
	R = (1, 77, 2, 78, 6, 82, 13, 89, 21, 97, 29, 105, 37, 113, 45, 121, 53, 129, 61, 137, 69, 145, 68, 144, 60, 136, 52, 128, 44, 120, 36, 112, 28, 104, 20, 96, 12, 88, 5, 81, 8, 84, 15, 91, 23, 99, 31, 107, 39, 115, 47, 123, 55, 131, 63, 139, 71, 147, 75, 151, 73, 149, 65, 141, 57, 133, 49, 125, 41, 117, 33, 109, 25, 101, 17, 93, 9, 85, 16, 92, 24, 100, 32, 108, 40, 116, 48, 124, 56, 132, 64, 140, 72, 148, 76, 152, 74, 150, 66, 142, 58, 134, 50, 126, 42, 118, 34, 110, 26, 102, 18, 94, 10, 86, 3, 79, 7, 83, 14, 90, 22, 98, 30, 106, 38, 114, 46, 122, 54, 130, 62, 138, 70, 146, 67, 143, 59, 135, 51, 127, 43, 119, 35, 111, 27, 103, 19, 95, 11, 87, 4, 80)(153, 229)(154, 230)(155, 231)(156, 232)(157, 233)(158, 234)(159, 235)(160, 236)(161, 237)(162, 238)(163, 239)(164, 240)(165, 241)(166, 242)(167, 243)(168, 244)(169, 245)(170, 246)(171, 247)(172, 248)(173, 249)(174, 250)(175, 251)(176, 252)(177, 253)(178, 254)(179, 255)(180, 256)(181, 257)(182, 258)(183, 259)(184, 260)(185, 261)(186, 262)(187, 263)(188, 264)(189, 265)(190, 266)(191, 267)(192, 268)(193, 269)(194, 270)(195, 271)(196, 272)(197, 273)(198, 274)(199, 275)(200, 276)(201, 277)(202, 278)(203, 279)(204, 280)(205, 281)(206, 282)(207, 283)(208, 284)(209, 285)(210, 286)(211, 287)(212, 288)(213, 289)(214, 290)(215, 291)(216, 292)(217, 293)(218, 294)(219, 295)(220, 296)(221, 297)(222, 298)(223, 299)(224, 300)(225, 301)(226, 302)(227, 303)(228, 304)
	L = (1, 155)(2, 159)(3, 161)(4, 162)(5, 153)(6, 166)(7, 168)(8, 154)(9, 157)(10, 169)(11, 170)(12, 156)(13, 174)(14, 176)(15, 158)(16, 160)(17, 164)(18, 177)(19, 178)(20, 163)(21, 182)(22, 184)(23, 165)(24, 167)(25, 172)(26, 185)(27, 186)(28, 171)(29, 190)(30, 192)(31, 173)(32, 175)(33, 180)(34, 193)(35, 194)(36, 179)(37, 198)(38, 200)(39, 181)(40, 183)(41, 188)(42, 201)(43, 202)(44, 187)(45, 206)(46, 208)(47, 189)(48, 191)(49, 196)(50, 209)(51, 210)(52, 195)(53, 214)(54, 216)(55, 197)(56, 199)(57, 204)(58, 217)(59, 218)(60, 203)(61, 222)(62, 224)(63, 205)(64, 207)(65, 212)(66, 225)(67, 226)(68, 211)(69, 219)(70, 228)(71, 213)(72, 215)(73, 220)(74, 227)(75, 221)(76, 223)(77, 229)(78, 230)(79, 231)(80, 232)(81, 233)(82, 234)(83, 235)(84, 236)(85, 237)(86, 238)(87, 239)(88, 240)(89, 241)(90, 242)(91, 243)(92, 244)(93, 245)(94, 246)(95, 247)(96, 248)(97, 249)(98, 250)(99, 251)(100, 252)(101, 253)(102, 254)(103, 255)(104, 256)(105, 257)(106, 258)(107, 259)(108, 260)(109, 261)(110, 262)(111, 263)(112, 264)(113, 265)(114, 266)(115, 267)(116, 268)(117, 269)(118, 270)(119, 271)(120, 272)(121, 273)(122, 274)(123, 275)(124, 276)(125, 277)(126, 278)(127, 279)(128, 280)(129, 281)(130, 282)(131, 283)(132, 284)(133, 285)(134, 286)(135, 287)(136, 288)(137, 289)(138, 290)(139, 291)(140, 292)(141, 293)(142, 294)(143, 295)(144, 296)(145, 297)(146, 298)(147, 299)(148, 300)(149, 301)(150, 302)(151, 303)(152, 304)
	local type(s) :: { ( 8, 76 ), ( 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76, 8, 76 ) }
Outer automorphisms :: reflexible
Dual of E28.2006
Graph:: bipartite
	v = 77 e = 152 f = 21
	degree seq :: [ 2^76, 152 ]

E28.2010 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 38, 76})
Quotient :: dipole
Aut^+ = C76 (small group id <76, 2>)
Aut   = D152 (small group id <152, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y2)^2, (R * Y3)^2, Y3^4, (R * Y1)^2, Y1^4, (Y2^-1, Y1^-1), (Y3^-1, Y2^-1), Y3 * Y2^-19, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 77, 2, 78, 6, 82, 4, 80)(3, 79, 7, 83, 13, 89, 10, 86)(5, 81, 8, 84, 14, 90, 11, 87)(9, 85, 15, 91, 21, 97, 18, 94)(12, 88, 16, 92, 22, 98, 19, 95)(17, 93, 23, 99, 29, 105, 26, 102)(20, 96, 24, 100, 30, 106, 27, 103)(25, 101, 31, 107, 37, 113, 34, 110)(28, 104, 32, 108, 38, 114, 35, 111)(33, 109, 39, 115, 45, 121, 42, 118)(36, 112, 40, 116, 46, 122, 43, 119)(41, 117, 47, 123, 53, 129, 50, 126)(44, 120, 48, 124, 54, 130, 51, 127)(49, 125, 55, 131, 61, 137, 58, 134)(52, 128, 56, 132, 62, 138, 59, 135)(57, 133, 63, 139, 69, 145, 66, 142)(60, 136, 64, 140, 70, 146, 67, 143)(65, 141, 71, 147, 75, 151, 74, 150)(68, 144, 72, 148, 76, 152, 73, 149)(153, 229, 155, 231, 161, 237, 169, 245, 177, 253, 185, 261, 193, 269, 201, 277, 209, 285, 217, 293, 225, 301, 219, 295, 211, 287, 203, 279, 195, 271, 187, 263, 179, 255, 171, 247, 163, 239, 156, 232, 162, 238, 170, 246, 178, 254, 186, 262, 194, 270, 202, 278, 210, 286, 218, 294, 226, 302, 228, 304, 222, 298, 214, 290, 206, 282, 198, 274, 190, 266, 182, 258, 174, 250, 166, 242, 158, 234, 165, 241, 173, 249, 181, 257, 189, 265, 197, 273, 205, 281, 213, 289, 221, 297, 227, 303, 224, 300, 216, 292, 208, 284, 200, 276, 192, 268, 184, 260, 176, 252, 168, 244, 160, 236, 154, 230, 159, 235, 167, 243, 175, 251, 183, 259, 191, 267, 199, 275, 207, 283, 215, 291, 223, 299, 220, 296, 212, 288, 204, 280, 196, 272, 188, 264, 180, 256, 172, 248, 164, 240, 157, 233)
	L = (1, 156)(2, 153)(3, 162)(4, 158)(5, 163)(6, 154)(7, 155)(8, 157)(9, 170)(10, 165)(11, 166)(12, 171)(13, 159)(14, 160)(15, 161)(16, 164)(17, 178)(18, 173)(19, 174)(20, 179)(21, 167)(22, 168)(23, 169)(24, 172)(25, 186)(26, 181)(27, 182)(28, 187)(29, 175)(30, 176)(31, 177)(32, 180)(33, 194)(34, 189)(35, 190)(36, 195)(37, 183)(38, 184)(39, 185)(40, 188)(41, 202)(42, 197)(43, 198)(44, 203)(45, 191)(46, 192)(47, 193)(48, 196)(49, 210)(50, 205)(51, 206)(52, 211)(53, 199)(54, 200)(55, 201)(56, 204)(57, 218)(58, 213)(59, 214)(60, 219)(61, 207)(62, 208)(63, 209)(64, 212)(65, 226)(66, 221)(67, 222)(68, 225)(69, 215)(70, 216)(71, 217)(72, 220)(73, 228)(74, 227)(75, 223)(76, 224)(77, 229)(78, 230)(79, 231)(80, 232)(81, 233)(82, 234)(83, 235)(84, 236)(85, 237)(86, 238)(87, 239)(88, 240)(89, 241)(90, 242)(91, 243)(92, 244)(93, 245)(94, 246)(95, 247)(96, 248)(97, 249)(98, 250)(99, 251)(100, 252)(101, 253)(102, 254)(103, 255)(104, 256)(105, 257)(106, 258)(107, 259)(108, 260)(109, 261)(110, 262)(111, 263)(112, 264)(113, 265)(114, 266)(115, 267)(116, 268)(117, 269)(118, 270)(119, 271)(120, 272)(121, 273)(122, 274)(123, 275)(124, 276)(125, 277)(126, 278)(127, 279)(128, 280)(129, 281)(130, 282)(131, 283)(132, 284)(133, 285)(134, 286)(135, 287)(136, 288)(137, 289)(138, 290)(139, 291)(140, 292)(141, 293)(142, 294)(143, 295)(144, 296)(145, 297)(146, 298)(147, 299)(148, 300)(149, 301)(150, 302)(151, 303)(152, 304)
	local type(s) :: { ( 2, 76, 2, 76, 2, 76, 2, 76 ), ( 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76 ) }
Outer automorphisms :: reflexible
Dual of E28.2011
Graph:: bipartite
	v = 20 e = 152 f = 78
	degree seq :: [ 8^19, 152 ]

E28.2011 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 38, 76})
Quotient :: dipole
Aut^+ = C76 (small group id <76, 2>)
Aut   = D152 (small group id <152, 5>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, Y1^4 * Y3^4, Y1^9 * Y3^-10, Y1^38, Y1^-152, (Y3 * Y2^-1)^76 ]
Map::
	R = (1, 77, 2, 78, 6, 82, 14, 90, 26, 102, 37, 113, 45, 121, 53, 129, 61, 137, 69, 145, 76, 152, 67, 143, 58, 134, 49, 125, 44, 120, 35, 111, 20, 96, 9, 85, 17, 93, 29, 105, 24, 100, 13, 89, 18, 94, 30, 106, 39, 115, 47, 123, 55, 131, 63, 139, 71, 147, 74, 150, 65, 141, 60, 136, 51, 127, 42, 118, 33, 109, 22, 98, 11, 87, 4, 80)(3, 79, 7, 83, 15, 91, 27, 103, 25, 101, 32, 108, 40, 116, 48, 124, 56, 132, 64, 140, 72, 148, 75, 151, 66, 142, 57, 133, 52, 128, 43, 119, 34, 110, 19, 95, 31, 107, 23, 99, 12, 88, 5, 81, 8, 84, 16, 92, 28, 104, 38, 114, 46, 122, 54, 130, 62, 138, 70, 146, 73, 149, 68, 144, 59, 135, 50, 126, 41, 117, 36, 112, 21, 97, 10, 86)(153, 229)(154, 230)(155, 231)(156, 232)(157, 233)(158, 234)(159, 235)(160, 236)(161, 237)(162, 238)(163, 239)(164, 240)(165, 241)(166, 242)(167, 243)(168, 244)(169, 245)(170, 246)(171, 247)(172, 248)(173, 249)(174, 250)(175, 251)(176, 252)(177, 253)(178, 254)(179, 255)(180, 256)(181, 257)(182, 258)(183, 259)(184, 260)(185, 261)(186, 262)(187, 263)(188, 264)(189, 265)(190, 266)(191, 267)(192, 268)(193, 269)(194, 270)(195, 271)(196, 272)(197, 273)(198, 274)(199, 275)(200, 276)(201, 277)(202, 278)(203, 279)(204, 280)(205, 281)(206, 282)(207, 283)(208, 284)(209, 285)(210, 286)(211, 287)(212, 288)(213, 289)(214, 290)(215, 291)(216, 292)(217, 293)(218, 294)(219, 295)(220, 296)(221, 297)(222, 298)(223, 299)(224, 300)(225, 301)(226, 302)(227, 303)(228, 304)
	L = (1, 155)(2, 159)(3, 161)(4, 162)(5, 153)(6, 167)(7, 169)(8, 154)(9, 171)(10, 172)(11, 173)(12, 156)(13, 157)(14, 179)(15, 181)(16, 158)(17, 183)(18, 160)(19, 185)(20, 186)(21, 187)(22, 188)(23, 163)(24, 164)(25, 165)(26, 177)(27, 176)(28, 166)(29, 175)(30, 168)(31, 174)(32, 170)(33, 193)(34, 194)(35, 195)(36, 196)(37, 184)(38, 178)(39, 180)(40, 182)(41, 201)(42, 202)(43, 203)(44, 204)(45, 192)(46, 189)(47, 190)(48, 191)(49, 209)(50, 210)(51, 211)(52, 212)(53, 200)(54, 197)(55, 198)(56, 199)(57, 217)(58, 218)(59, 219)(60, 220)(61, 208)(62, 205)(63, 206)(64, 207)(65, 225)(66, 226)(67, 227)(68, 228)(69, 216)(70, 213)(71, 214)(72, 215)(73, 221)(74, 222)(75, 223)(76, 224)(77, 229)(78, 230)(79, 231)(80, 232)(81, 233)(82, 234)(83, 235)(84, 236)(85, 237)(86, 238)(87, 239)(88, 240)(89, 241)(90, 242)(91, 243)(92, 244)(93, 245)(94, 246)(95, 247)(96, 248)(97, 249)(98, 250)(99, 251)(100, 252)(101, 253)(102, 254)(103, 255)(104, 256)(105, 257)(106, 258)(107, 259)(108, 260)(109, 261)(110, 262)(111, 263)(112, 264)(113, 265)(114, 266)(115, 267)(116, 268)(117, 269)(118, 270)(119, 271)(120, 272)(121, 273)(122, 274)(123, 275)(124, 276)(125, 277)(126, 278)(127, 279)(128, 280)(129, 281)(130, 282)(131, 283)(132, 284)(133, 285)(134, 286)(135, 287)(136, 288)(137, 289)(138, 290)(139, 291)(140, 292)(141, 293)(142, 294)(143, 295)(144, 296)(145, 297)(146, 298)(147, 299)(148, 300)(149, 301)(150, 302)(151, 303)(152, 304)
	local type(s) :: { ( 8, 152 ), ( 8, 152, 8, 152, 8, 152, 8, 152, 8, 152, 8, 152, 8, 152, 8, 152, 8, 152, 8, 152, 8, 152, 8, 152, 8, 152, 8, 152, 8, 152, 8, 152, 8, 152, 8, 152, 8, 152, 8, 152, 8, 152, 8, 152, 8, 152, 8, 152, 8, 152, 8, 152, 8, 152, 8, 152, 8, 152, 8, 152, 8, 152, 8, 152, 8, 152, 8, 152, 8, 152, 8, 152, 8, 152, 8, 152 ) }
Outer automorphisms :: reflexible
Dual of E28.2010
Graph:: simple bipartite
	v = 78 e = 152 f = 20
	degree seq :: [ 2^76, 76^2 ]

E28.2012 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 5, 8})
Quotient :: dipole
Aut^+ = (C5 x D8) : C2 (small group id <80, 15>)
Aut   = D16 x D10 (small group id <160, 131>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3 * Y2 * Y3^-1 * Y2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3^5 * Y2, Y3^-1 * Y1 * Y3^-1 * Y2 * Y1 * Y2, (Y3^2 * Y1)^2, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 81, 2, 82)(3, 83, 9, 89)(4, 84, 12, 92)(5, 85, 14, 94)(6, 86, 16, 96)(7, 87, 19, 99)(8, 88, 21, 101)(10, 90, 18, 98)(11, 91, 17, 97)(13, 93, 22, 102)(15, 95, 20, 100)(23, 103, 37, 117)(24, 104, 38, 118)(25, 105, 40, 120)(26, 106, 41, 121)(27, 107, 39, 119)(28, 108, 42, 122)(29, 109, 43, 123)(30, 110, 44, 124)(31, 111, 45, 125)(32, 112, 47, 127)(33, 113, 48, 128)(34, 114, 46, 126)(35, 115, 49, 129)(36, 116, 50, 130)(51, 131, 61, 141)(52, 132, 62, 142)(53, 133, 63, 143)(54, 134, 64, 144)(55, 135, 65, 145)(56, 136, 66, 146)(57, 137, 67, 147)(58, 138, 68, 148)(59, 139, 69, 149)(60, 140, 70, 150)(71, 151, 76, 156)(72, 152, 78, 158)(73, 153, 77, 157)(74, 154, 80, 160)(75, 155, 79, 159)(161, 241, 163, 243)(162, 242, 166, 246)(164, 244, 170, 250)(165, 245, 171, 251)(167, 247, 177, 257)(168, 248, 178, 258)(169, 249, 183, 263)(172, 252, 185, 265)(173, 253, 186, 266)(174, 254, 184, 264)(175, 255, 187, 267)(176, 256, 190, 270)(179, 259, 192, 272)(180, 260, 193, 273)(181, 261, 191, 271)(182, 262, 194, 274)(188, 268, 201, 281)(189, 269, 199, 279)(195, 275, 208, 288)(196, 276, 206, 286)(197, 277, 211, 291)(198, 278, 213, 293)(200, 280, 212, 292)(202, 282, 215, 295)(203, 283, 214, 294)(204, 284, 216, 296)(205, 285, 218, 298)(207, 287, 217, 297)(209, 289, 220, 300)(210, 290, 219, 299)(221, 301, 231, 311)(222, 302, 233, 313)(223, 303, 232, 312)(224, 304, 235, 315)(225, 305, 234, 314)(226, 306, 236, 316)(227, 307, 238, 318)(228, 308, 237, 317)(229, 309, 240, 320)(230, 310, 239, 319)
	L = (1, 164)(2, 167)(3, 170)(4, 173)(5, 161)(6, 177)(7, 180)(8, 162)(9, 184)(10, 186)(11, 163)(12, 183)(13, 187)(14, 189)(15, 165)(16, 191)(17, 193)(18, 166)(19, 190)(20, 194)(21, 196)(22, 168)(23, 174)(24, 199)(25, 169)(26, 175)(27, 171)(28, 172)(29, 201)(30, 181)(31, 206)(32, 176)(33, 182)(34, 178)(35, 179)(36, 208)(37, 212)(38, 211)(39, 188)(40, 215)(41, 185)(42, 214)(43, 213)(44, 217)(45, 216)(46, 195)(47, 220)(48, 192)(49, 219)(50, 218)(51, 200)(52, 202)(53, 197)(54, 198)(55, 203)(56, 207)(57, 209)(58, 204)(59, 205)(60, 210)(61, 232)(62, 231)(63, 235)(64, 234)(65, 233)(66, 237)(67, 236)(68, 240)(69, 239)(70, 238)(71, 223)(72, 224)(73, 221)(74, 222)(75, 225)(76, 228)(77, 229)(78, 226)(79, 227)(80, 230)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 10, 16, 10, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.2017
Graph:: simple bipartite
	v = 80 e = 160 f = 26
	degree seq :: [ 4^80 ]

E28.2013 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 5, 8})
Quotient :: dipole
Aut^+ = D80 (small group id <80, 7>)
Aut   = C2 x D80 (small group id <160, 124>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (Y3, Y2^-1), (Y3^-1 * Y1)^2, (Y2^-1 * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2^-5, Y3^-8 * Y2^-2, (Y2^-1 * Y3)^8 ]
Map:: polytopal non-degenerate
	R = (1, 81, 2, 82)(3, 83, 9, 89)(4, 84, 10, 90)(5, 85, 7, 87)(6, 86, 8, 88)(11, 91, 24, 104)(12, 92, 25, 105)(13, 93, 23, 103)(14, 94, 26, 106)(15, 95, 21, 101)(16, 96, 19, 99)(17, 97, 20, 100)(18, 98, 22, 102)(27, 107, 44, 124)(28, 108, 43, 123)(29, 109, 45, 125)(30, 110, 42, 122)(31, 111, 46, 126)(32, 112, 40, 120)(33, 113, 38, 118)(34, 114, 37, 117)(35, 115, 39, 119)(36, 116, 41, 121)(47, 127, 64, 144)(48, 128, 63, 143)(49, 129, 65, 145)(50, 130, 62, 142)(51, 131, 66, 146)(52, 132, 60, 140)(53, 133, 58, 138)(54, 134, 57, 137)(55, 135, 59, 139)(56, 136, 61, 141)(67, 147, 78, 158)(68, 148, 80, 160)(69, 149, 76, 156)(70, 150, 79, 159)(71, 151, 74, 154)(72, 152, 77, 157)(73, 153, 75, 155)(161, 241, 163, 243, 171, 251, 176, 256, 165, 245)(162, 242, 167, 247, 179, 259, 184, 264, 169, 249)(164, 244, 172, 252, 187, 267, 193, 273, 175, 255)(166, 246, 173, 253, 188, 268, 194, 274, 177, 257)(168, 248, 180, 260, 197, 277, 203, 283, 183, 263)(170, 250, 181, 261, 198, 278, 204, 284, 185, 265)(174, 254, 189, 269, 207, 287, 213, 293, 192, 272)(178, 258, 190, 270, 208, 288, 214, 294, 195, 275)(182, 262, 199, 279, 217, 297, 223, 303, 202, 282)(186, 266, 200, 280, 218, 298, 224, 304, 205, 285)(191, 271, 209, 289, 227, 307, 233, 313, 212, 292)(196, 276, 210, 290, 228, 308, 231, 311, 215, 295)(201, 281, 219, 299, 234, 314, 240, 320, 222, 302)(206, 286, 220, 300, 235, 315, 238, 318, 225, 305)(211, 291, 229, 309, 216, 296, 230, 310, 232, 312)(221, 301, 236, 316, 226, 306, 237, 317, 239, 319)
	L = (1, 164)(2, 168)(3, 172)(4, 174)(5, 175)(6, 161)(7, 180)(8, 182)(9, 183)(10, 162)(11, 187)(12, 189)(13, 163)(14, 191)(15, 192)(16, 193)(17, 165)(18, 166)(19, 197)(20, 199)(21, 167)(22, 201)(23, 202)(24, 203)(25, 169)(26, 170)(27, 207)(28, 171)(29, 209)(30, 173)(31, 211)(32, 212)(33, 213)(34, 176)(35, 177)(36, 178)(37, 217)(38, 179)(39, 219)(40, 181)(41, 221)(42, 222)(43, 223)(44, 184)(45, 185)(46, 186)(47, 227)(48, 188)(49, 229)(50, 190)(51, 231)(52, 232)(53, 233)(54, 194)(55, 195)(56, 196)(57, 234)(58, 198)(59, 236)(60, 200)(61, 238)(62, 239)(63, 240)(64, 204)(65, 205)(66, 206)(67, 216)(68, 208)(69, 215)(70, 210)(71, 214)(72, 228)(73, 230)(74, 226)(75, 218)(76, 225)(77, 220)(78, 224)(79, 235)(80, 237)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.2015
Graph:: simple bipartite
	v = 56 e = 160 f = 50
	degree seq :: [ 4^40, 10^16 ]

E28.2014 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 5, 8})
Quotient :: dipole
Aut^+ = (C5 x D8) : C2 (small group id <80, 15>)
Aut   = D16 x D10 (small group id <160, 131>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, Y2^-1 * Y3 * Y2^-1 * Y3^-1, R * Y2 * R * Y2^-1, (Y2 * Y1)^2, Y2^5, Y3^8 ]
Map:: polytopal non-degenerate
	R = (1, 81, 2, 82)(3, 83, 9, 89)(4, 84, 10, 90)(5, 85, 7, 87)(6, 86, 8, 88)(11, 91, 24, 104)(12, 92, 25, 105)(13, 93, 22, 102)(14, 94, 21, 101)(15, 95, 26, 106)(16, 96, 19, 99)(17, 97, 20, 100)(18, 98, 23, 103)(27, 107, 44, 124)(28, 108, 41, 121)(29, 109, 45, 125)(30, 110, 42, 122)(31, 111, 38, 118)(32, 112, 40, 120)(33, 113, 46, 126)(34, 114, 37, 117)(35, 115, 39, 119)(36, 116, 43, 123)(47, 127, 63, 143)(48, 128, 60, 140)(49, 129, 64, 144)(50, 130, 61, 141)(51, 131, 57, 137)(52, 132, 59, 139)(53, 133, 62, 142)(54, 134, 56, 136)(55, 135, 58, 138)(65, 145, 76, 156)(66, 146, 74, 154)(67, 147, 75, 155)(68, 148, 72, 152)(69, 149, 73, 153)(70, 150, 71, 151)(77, 157, 80, 160)(78, 158, 79, 159)(161, 241, 163, 243, 171, 251, 176, 256, 165, 245)(162, 242, 167, 247, 179, 259, 184, 264, 169, 249)(164, 244, 174, 254, 191, 271, 187, 267, 172, 252)(166, 246, 177, 257, 194, 274, 188, 268, 173, 253)(168, 248, 182, 262, 201, 281, 197, 277, 180, 260)(170, 250, 185, 265, 204, 284, 198, 278, 181, 261)(175, 255, 189, 269, 207, 287, 211, 291, 192, 272)(178, 258, 190, 270, 208, 288, 214, 294, 195, 275)(183, 263, 199, 279, 216, 296, 220, 300, 202, 282)(186, 266, 200, 280, 217, 297, 223, 303, 205, 285)(193, 273, 212, 292, 228, 308, 225, 305, 209, 289)(196, 276, 215, 295, 230, 310, 226, 306, 210, 290)(203, 283, 221, 301, 234, 314, 231, 311, 218, 298)(206, 286, 224, 304, 236, 316, 232, 312, 219, 299)(213, 293, 227, 307, 237, 317, 238, 318, 229, 309)(222, 302, 233, 313, 239, 319, 240, 320, 235, 315)
	L = (1, 164)(2, 168)(3, 172)(4, 175)(5, 174)(6, 161)(7, 180)(8, 183)(9, 182)(10, 162)(11, 187)(12, 189)(13, 163)(14, 192)(15, 193)(16, 191)(17, 165)(18, 166)(19, 197)(20, 199)(21, 167)(22, 202)(23, 203)(24, 201)(25, 169)(26, 170)(27, 207)(28, 171)(29, 209)(30, 173)(31, 211)(32, 212)(33, 213)(34, 176)(35, 177)(36, 178)(37, 216)(38, 179)(39, 218)(40, 181)(41, 220)(42, 221)(43, 222)(44, 184)(45, 185)(46, 186)(47, 225)(48, 188)(49, 227)(50, 190)(51, 228)(52, 229)(53, 196)(54, 194)(55, 195)(56, 231)(57, 198)(58, 233)(59, 200)(60, 234)(61, 235)(62, 206)(63, 204)(64, 205)(65, 237)(66, 208)(67, 210)(68, 238)(69, 215)(70, 214)(71, 239)(72, 217)(73, 219)(74, 240)(75, 224)(76, 223)(77, 226)(78, 230)(79, 232)(80, 236)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.2016
Graph:: simple bipartite
	v = 56 e = 160 f = 50
	degree seq :: [ 4^40, 10^16 ]

E28.2015 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 5, 8})
Quotient :: dipole
Aut^+ = D80 (small group id <80, 7>)
Aut   = C2 x D80 (small group id <160, 124>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, (Y1^-1 * Y2)^2, (R * Y1)^2, (Y3, Y1^-1), (R * Y2 * Y3^-1)^2, Y3^5 * Y1^-3, Y1^8, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 81, 2, 82, 7, 87, 19, 99, 39, 119, 35, 115, 16, 96, 5, 85)(3, 83, 11, 91, 27, 107, 51, 131, 62, 142, 40, 120, 20, 100, 8, 88)(4, 84, 9, 89, 21, 101, 41, 121, 63, 143, 58, 138, 34, 114, 15, 95)(6, 86, 10, 90, 22, 102, 42, 122, 64, 144, 59, 139, 36, 116, 17, 97)(12, 92, 28, 108, 52, 132, 73, 153, 77, 157, 65, 145, 43, 123, 23, 103)(13, 93, 29, 109, 53, 133, 74, 154, 78, 158, 66, 146, 44, 124, 24, 104)(14, 94, 25, 105, 45, 125, 67, 147, 61, 141, 38, 118, 50, 130, 33, 113)(18, 98, 26, 106, 46, 126, 32, 112, 49, 129, 70, 150, 60, 140, 37, 117)(30, 110, 54, 134, 75, 155, 80, 160, 72, 152, 57, 137, 68, 148, 47, 127)(31, 111, 55, 135, 71, 151, 56, 136, 76, 156, 79, 159, 69, 149, 48, 128)(161, 241, 163, 243)(162, 242, 168, 248)(164, 244, 173, 253)(165, 245, 171, 251)(166, 246, 172, 252)(167, 247, 180, 260)(169, 249, 184, 264)(170, 250, 183, 263)(174, 254, 191, 271)(175, 255, 189, 269)(176, 256, 187, 267)(177, 257, 188, 268)(178, 258, 190, 270)(179, 259, 200, 280)(181, 261, 204, 284)(182, 262, 203, 283)(185, 265, 208, 288)(186, 266, 207, 287)(192, 272, 217, 297)(193, 273, 215, 295)(194, 274, 213, 293)(195, 275, 211, 291)(196, 276, 212, 292)(197, 277, 214, 294)(198, 278, 216, 296)(199, 279, 222, 302)(201, 281, 226, 306)(202, 282, 225, 305)(205, 285, 229, 309)(206, 286, 228, 308)(209, 289, 232, 312)(210, 290, 231, 311)(218, 298, 234, 314)(219, 299, 233, 313)(220, 300, 235, 315)(221, 301, 236, 316)(223, 303, 238, 318)(224, 304, 237, 317)(227, 307, 239, 319)(230, 310, 240, 320)
	L = (1, 164)(2, 169)(3, 172)(4, 174)(5, 175)(6, 161)(7, 181)(8, 183)(9, 185)(10, 162)(11, 188)(12, 190)(13, 163)(14, 192)(15, 193)(16, 194)(17, 165)(18, 166)(19, 201)(20, 203)(21, 205)(22, 167)(23, 207)(24, 168)(25, 209)(26, 170)(27, 212)(28, 214)(29, 171)(30, 216)(31, 173)(32, 202)(33, 206)(34, 210)(35, 218)(36, 176)(37, 177)(38, 178)(39, 223)(40, 225)(41, 227)(42, 179)(43, 228)(44, 180)(45, 230)(46, 182)(47, 231)(48, 184)(49, 224)(50, 186)(51, 233)(52, 235)(53, 187)(54, 236)(55, 189)(56, 234)(57, 191)(58, 198)(59, 195)(60, 196)(61, 197)(62, 237)(63, 221)(64, 199)(65, 217)(66, 200)(67, 220)(68, 215)(69, 204)(70, 219)(71, 213)(72, 208)(73, 240)(74, 211)(75, 239)(76, 238)(77, 232)(78, 222)(79, 226)(80, 229)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4, 10, 4, 10 ), ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E28.2013
Graph:: simple bipartite
	v = 50 e = 160 f = 56
	degree seq :: [ 4^40, 16^10 ]

E28.2016 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 5, 8})
Quotient :: dipole
Aut^+ = (C5 x D8) : C2 (small group id <80, 15>)
Aut   = D16 x D10 (small group id <160, 131>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, Y3^-1 * Y1^-2 * Y3^-1, (R * Y1)^2, (Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-4 * Y1 * Y3^-1, Y2 * Y1^-1 * Y3 * Y2 * Y1^2 * Y3^-1 * Y1^3, (Y3 * Y1)^5 ]
Map:: polytopal non-degenerate
	R = (1, 81, 2, 82, 7, 87, 19, 99, 39, 119, 35, 115, 15, 95, 5, 85)(3, 83, 11, 91, 27, 107, 51, 131, 62, 142, 40, 120, 20, 100, 8, 88)(4, 84, 14, 94, 6, 86, 18, 98, 21, 101, 43, 123, 34, 114, 16, 96)(9, 89, 24, 104, 10, 90, 26, 106, 41, 121, 37, 117, 17, 97, 25, 105)(12, 92, 29, 109, 13, 93, 31, 111, 52, 132, 64, 144, 42, 122, 30, 110)(22, 102, 44, 124, 23, 103, 46, 126, 28, 108, 53, 133, 63, 143, 45, 125)(32, 112, 58, 138, 33, 113, 60, 140, 38, 118, 61, 141, 36, 116, 59, 139)(47, 127, 69, 149, 48, 128, 71, 151, 50, 130, 72, 152, 49, 129, 70, 150)(54, 134, 73, 153, 55, 135, 75, 155, 57, 137, 76, 156, 56, 136, 74, 154)(65, 145, 77, 157, 66, 146, 79, 159, 68, 148, 80, 160, 67, 147, 78, 158)(161, 241, 163, 243)(162, 242, 168, 248)(164, 244, 173, 253)(165, 245, 171, 251)(166, 246, 172, 252)(167, 247, 180, 260)(169, 249, 183, 263)(170, 250, 182, 262)(174, 254, 189, 269)(175, 255, 187, 267)(176, 256, 191, 271)(177, 257, 188, 268)(178, 258, 190, 270)(179, 259, 200, 280)(181, 261, 202, 282)(184, 264, 204, 284)(185, 265, 206, 286)(186, 266, 205, 285)(192, 272, 215, 295)(193, 273, 214, 294)(194, 274, 212, 292)(195, 275, 211, 291)(196, 276, 217, 297)(197, 277, 213, 293)(198, 278, 216, 296)(199, 279, 222, 302)(201, 281, 223, 303)(203, 283, 224, 304)(207, 287, 226, 306)(208, 288, 225, 305)(209, 289, 228, 308)(210, 290, 227, 307)(218, 298, 233, 313)(219, 299, 235, 315)(220, 300, 234, 314)(221, 301, 236, 316)(229, 309, 237, 317)(230, 310, 239, 319)(231, 311, 238, 318)(232, 312, 240, 320)
	L = (1, 164)(2, 169)(3, 172)(4, 175)(5, 177)(6, 161)(7, 166)(8, 182)(9, 165)(10, 162)(11, 183)(12, 180)(13, 163)(14, 192)(15, 194)(16, 196)(17, 195)(18, 193)(19, 170)(20, 202)(21, 167)(22, 200)(23, 168)(24, 207)(25, 209)(26, 208)(27, 173)(28, 171)(29, 214)(30, 216)(31, 215)(32, 176)(33, 174)(34, 199)(35, 201)(36, 203)(37, 210)(38, 178)(39, 181)(40, 223)(41, 179)(42, 222)(43, 198)(44, 225)(45, 227)(46, 226)(47, 185)(48, 184)(49, 197)(50, 186)(51, 188)(52, 187)(53, 228)(54, 190)(55, 189)(56, 224)(57, 191)(58, 230)(59, 232)(60, 229)(61, 231)(62, 212)(63, 211)(64, 217)(65, 205)(66, 204)(67, 213)(68, 206)(69, 218)(70, 219)(71, 220)(72, 221)(73, 237)(74, 238)(75, 239)(76, 240)(77, 234)(78, 236)(79, 233)(80, 235)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4, 10, 4, 10 ), ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E28.2014
Graph:: simple bipartite
	v = 50 e = 160 f = 56
	degree seq :: [ 4^40, 16^10 ]

E28.2017 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 5, 8})
Quotient :: dipole
Aut^+ = (C5 x D8) : C2 (small group id <80, 15>)
Aut   = D16 x D10 (small group id <160, 131>)
|r| :: 2
Presentation :: [ Y3^2, R^2, R * Y2 * R * Y2^-1, (Y2^-1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, (Y1^-1 * Y3)^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y1^5, Y2^8 ]
Map:: polytopal non-degenerate
	R = (1, 81, 2, 82, 7, 87, 16, 96, 5, 85)(3, 83, 11, 91, 26, 106, 19, 99, 8, 88)(4, 84, 14, 94, 31, 111, 20, 100, 9, 89)(6, 86, 17, 97, 34, 114, 21, 101, 10, 90)(12, 92, 22, 102, 37, 117, 45, 125, 27, 107)(13, 93, 23, 103, 38, 118, 46, 126, 28, 108)(15, 95, 24, 104, 39, 119, 51, 131, 32, 112)(18, 98, 25, 105, 40, 120, 54, 134, 35, 115)(29, 109, 47, 127, 63, 143, 56, 136, 41, 121)(30, 110, 48, 128, 64, 144, 57, 137, 42, 122)(33, 113, 52, 132, 68, 148, 58, 138, 43, 123)(36, 116, 55, 135, 70, 150, 59, 139, 44, 124)(49, 129, 60, 140, 71, 151, 75, 155, 65, 145)(50, 130, 61, 141, 72, 152, 76, 156, 66, 146)(53, 133, 62, 142, 73, 153, 78, 158, 69, 149)(67, 147, 77, 157, 80, 160, 79, 159, 74, 154)(161, 241, 163, 243, 172, 252, 189, 269, 209, 289, 196, 276, 178, 258, 166, 246)(162, 242, 168, 248, 182, 262, 201, 281, 220, 300, 204, 284, 185, 265, 170, 250)(164, 244, 175, 255, 193, 273, 213, 293, 227, 307, 210, 290, 190, 270, 173, 253)(165, 245, 171, 251, 187, 267, 207, 287, 225, 305, 215, 295, 195, 275, 177, 257)(167, 247, 179, 259, 197, 277, 216, 296, 231, 311, 219, 299, 200, 280, 181, 261)(169, 249, 184, 264, 203, 283, 222, 302, 234, 314, 221, 301, 202, 282, 183, 263)(174, 254, 192, 272, 212, 292, 229, 309, 237, 317, 226, 306, 208, 288, 188, 268)(176, 256, 186, 266, 205, 285, 223, 303, 235, 315, 230, 310, 214, 294, 194, 274)(180, 260, 199, 279, 218, 298, 233, 313, 239, 319, 232, 312, 217, 297, 198, 278)(191, 271, 211, 291, 228, 308, 238, 318, 240, 320, 236, 316, 224, 304, 206, 286)
	L = (1, 164)(2, 169)(3, 173)(4, 161)(5, 174)(6, 175)(7, 180)(8, 183)(9, 162)(10, 184)(11, 188)(12, 190)(13, 163)(14, 165)(15, 166)(16, 191)(17, 192)(18, 193)(19, 198)(20, 167)(21, 199)(22, 202)(23, 168)(24, 170)(25, 203)(26, 206)(27, 208)(28, 171)(29, 210)(30, 172)(31, 176)(32, 177)(33, 178)(34, 211)(35, 212)(36, 213)(37, 217)(38, 179)(39, 181)(40, 218)(41, 221)(42, 182)(43, 185)(44, 222)(45, 224)(46, 186)(47, 226)(48, 187)(49, 227)(50, 189)(51, 194)(52, 195)(53, 196)(54, 228)(55, 229)(56, 232)(57, 197)(58, 200)(59, 233)(60, 234)(61, 201)(62, 204)(63, 236)(64, 205)(65, 237)(66, 207)(67, 209)(68, 214)(69, 215)(70, 238)(71, 239)(72, 216)(73, 219)(74, 220)(75, 240)(76, 223)(77, 225)(78, 230)(79, 231)(80, 235)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4^10 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E28.2012
Graph:: simple bipartite
	v = 26 e = 160 f = 80
	degree seq :: [ 10^16, 16^10 ]

E28.2018 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 5, 8})
Quotient :: dipole
Aut^+ = (C5 x D8) : C2 (small group id <80, 15>)
Aut   = C2 x ((C5 x D8) : C2) (small group id <160, 152>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, Y2^-1 * Y3 * Y2^-1 * Y3^-1, R * Y2 * R * Y2^-1, Y2^-1 * Y1 * Y2 * Y1, Y2^5, Y3^8 ]
Map:: polytopal non-degenerate
	R = (1, 81, 2, 82)(3, 83, 7, 87)(4, 84, 10, 90)(5, 85, 9, 89)(6, 86, 8, 88)(11, 91, 19, 99)(12, 92, 21, 101)(13, 93, 20, 100)(14, 94, 25, 105)(15, 95, 26, 106)(16, 96, 24, 104)(17, 97, 22, 102)(18, 98, 23, 103)(27, 107, 38, 118)(28, 108, 37, 117)(29, 109, 40, 120)(30, 110, 39, 119)(31, 111, 44, 124)(32, 112, 45, 125)(33, 113, 46, 126)(34, 114, 41, 121)(35, 115, 42, 122)(36, 116, 43, 123)(47, 127, 57, 137)(48, 128, 56, 136)(49, 129, 59, 139)(50, 130, 58, 138)(51, 131, 63, 143)(52, 132, 64, 144)(53, 133, 62, 142)(54, 134, 60, 140)(55, 135, 61, 141)(65, 145, 72, 152)(66, 146, 71, 151)(67, 147, 73, 153)(68, 148, 76, 156)(69, 149, 75, 155)(70, 150, 74, 154)(77, 157, 79, 159)(78, 158, 80, 160)(161, 241, 163, 243, 171, 251, 176, 256, 165, 245)(162, 242, 167, 247, 179, 259, 184, 264, 169, 249)(164, 244, 174, 254, 191, 271, 187, 267, 172, 252)(166, 246, 177, 257, 194, 274, 188, 268, 173, 253)(168, 248, 182, 262, 201, 281, 197, 277, 180, 260)(170, 250, 185, 265, 204, 284, 198, 278, 181, 261)(175, 255, 189, 269, 207, 287, 211, 291, 192, 272)(178, 258, 190, 270, 208, 288, 214, 294, 195, 275)(183, 263, 199, 279, 216, 296, 220, 300, 202, 282)(186, 266, 200, 280, 217, 297, 223, 303, 205, 285)(193, 273, 212, 292, 228, 308, 225, 305, 209, 289)(196, 276, 215, 295, 230, 310, 226, 306, 210, 290)(203, 283, 221, 301, 234, 314, 231, 311, 218, 298)(206, 286, 224, 304, 236, 316, 232, 312, 219, 299)(213, 293, 227, 307, 237, 317, 238, 318, 229, 309)(222, 302, 233, 313, 239, 319, 240, 320, 235, 315)
	L = (1, 164)(2, 168)(3, 172)(4, 175)(5, 174)(6, 161)(7, 180)(8, 183)(9, 182)(10, 162)(11, 187)(12, 189)(13, 163)(14, 192)(15, 193)(16, 191)(17, 165)(18, 166)(19, 197)(20, 199)(21, 167)(22, 202)(23, 203)(24, 201)(25, 169)(26, 170)(27, 207)(28, 171)(29, 209)(30, 173)(31, 211)(32, 212)(33, 213)(34, 176)(35, 177)(36, 178)(37, 216)(38, 179)(39, 218)(40, 181)(41, 220)(42, 221)(43, 222)(44, 184)(45, 185)(46, 186)(47, 225)(48, 188)(49, 227)(50, 190)(51, 228)(52, 229)(53, 196)(54, 194)(55, 195)(56, 231)(57, 198)(58, 233)(59, 200)(60, 234)(61, 235)(62, 206)(63, 204)(64, 205)(65, 237)(66, 208)(67, 210)(68, 238)(69, 215)(70, 214)(71, 239)(72, 217)(73, 219)(74, 240)(75, 224)(76, 223)(77, 226)(78, 230)(79, 232)(80, 236)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.2019
Graph:: simple bipartite
	v = 56 e = 160 f = 50
	degree seq :: [ 4^40, 10^16 ]

E28.2019 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 5, 8})
Quotient :: dipole
Aut^+ = (C5 x D8) : C2 (small group id <80, 15>)
Aut   = C2 x ((C5 x D8) : C2) (small group id <160, 152>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3 * Y1^2 * Y3, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y2)^2, (Y2 * Y3 * Y1^-1)^2, (Y2 * Y3^-1 * Y1)^2, Y3 * Y1 * Y3 * Y2 * Y1^-1 * Y2, (R * Y2 * Y3^-1)^2, Y1 * Y3^-6 * Y1, Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 81, 2, 82, 7, 87, 21, 101, 44, 124, 39, 119, 16, 96, 5, 85)(3, 83, 11, 91, 31, 111, 57, 137, 69, 149, 48, 128, 22, 102, 13, 93)(4, 84, 15, 95, 6, 86, 20, 100, 23, 103, 49, 129, 38, 118, 17, 97)(8, 88, 24, 104, 18, 98, 41, 121, 66, 146, 71, 151, 45, 125, 26, 106)(9, 89, 28, 108, 10, 90, 30, 110, 46, 126, 42, 122, 19, 99, 29, 109)(12, 92, 27, 107, 14, 94, 37, 117, 58, 138, 70, 150, 47, 127, 25, 105)(32, 112, 59, 139, 35, 115, 64, 144, 43, 123, 67, 147, 40, 120, 60, 140)(33, 113, 61, 141, 34, 114, 63, 143, 72, 152, 65, 145, 36, 116, 62, 142)(50, 130, 73, 153, 53, 133, 78, 158, 56, 136, 80, 160, 55, 135, 74, 154)(51, 131, 75, 155, 52, 132, 77, 157, 68, 148, 79, 159, 54, 134, 76, 156)(161, 241, 163, 243)(162, 242, 168, 248)(164, 244, 174, 254)(165, 245, 178, 258)(166, 246, 172, 252)(167, 247, 182, 262)(169, 249, 187, 267)(170, 250, 185, 265)(171, 251, 192, 272)(173, 253, 195, 275)(175, 255, 193, 273)(176, 256, 191, 271)(177, 257, 194, 274)(179, 259, 197, 277)(180, 260, 196, 276)(181, 261, 205, 285)(183, 263, 207, 287)(184, 264, 210, 290)(186, 266, 213, 293)(188, 268, 211, 291)(189, 269, 212, 292)(190, 270, 214, 294)(198, 278, 218, 298)(199, 279, 226, 306)(200, 280, 217, 297)(201, 281, 215, 295)(202, 282, 228, 308)(203, 283, 208, 288)(204, 284, 229, 309)(206, 286, 230, 310)(209, 289, 232, 312)(216, 296, 231, 311)(219, 299, 235, 315)(220, 300, 237, 317)(221, 301, 234, 314)(222, 302, 233, 313)(223, 303, 240, 320)(224, 304, 236, 316)(225, 305, 238, 318)(227, 307, 239, 319)
	L = (1, 164)(2, 169)(3, 172)(4, 176)(5, 179)(6, 161)(7, 166)(8, 185)(9, 165)(10, 162)(11, 193)(12, 182)(13, 196)(14, 163)(15, 192)(16, 198)(17, 200)(18, 187)(19, 199)(20, 195)(21, 170)(22, 207)(23, 167)(24, 211)(25, 205)(26, 214)(27, 168)(28, 210)(29, 215)(30, 213)(31, 174)(32, 177)(33, 173)(34, 171)(35, 175)(36, 208)(37, 178)(38, 204)(39, 206)(40, 209)(41, 212)(42, 216)(43, 180)(44, 183)(45, 230)(46, 181)(47, 229)(48, 232)(49, 203)(50, 189)(51, 186)(52, 184)(53, 188)(54, 231)(55, 202)(56, 190)(57, 194)(58, 191)(59, 234)(60, 240)(61, 235)(62, 236)(63, 237)(64, 233)(65, 239)(66, 197)(67, 238)(68, 201)(69, 218)(70, 226)(71, 228)(72, 217)(73, 219)(74, 220)(75, 222)(76, 225)(77, 221)(78, 224)(79, 223)(80, 227)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4, 10, 4, 10 ), ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E28.2018
Graph:: simple bipartite
	v = 50 e = 160 f = 56
	degree seq :: [ 4^40, 16^10 ]

E28.2020 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 10, 10})
Quotient :: edge
Aut^+ = C5 x D16 (small group id <80, 25>)
Aut   = D16 x D10 (small group id <160, 131>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T2 * T1^-1 * T2^-1 * T1^-1, T1^8, T2^10 ]
Map:: non-degenerate
	R = (1, 3, 10, 21, 36, 52, 40, 25, 13, 5)(2, 7, 17, 31, 47, 62, 48, 32, 18, 8)(4, 9, 20, 35, 51, 65, 55, 39, 24, 12)(6, 15, 29, 45, 60, 72, 61, 46, 30, 16)(11, 19, 34, 50, 64, 74, 67, 54, 38, 23)(14, 27, 43, 58, 70, 78, 71, 59, 44, 28)(22, 33, 49, 63, 73, 79, 75, 66, 53, 37)(26, 41, 56, 68, 76, 80, 77, 69, 57, 42)(81, 82, 86, 94, 106, 102, 91, 84)(83, 89, 99, 113, 121, 107, 95, 87)(85, 92, 103, 117, 122, 108, 96, 88)(90, 97, 109, 123, 136, 129, 114, 100)(93, 98, 110, 124, 137, 133, 118, 104)(101, 115, 130, 143, 148, 138, 125, 111)(105, 119, 134, 146, 149, 139, 126, 112)(116, 127, 140, 150, 156, 153, 144, 131)(120, 128, 141, 151, 157, 155, 147, 135)(132, 145, 154, 159, 160, 158, 152, 142)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 20^8 ), ( 20^10 ) }
Outer automorphisms :: reflexible
Dual of E28.2021
Transitivity :: ET+
Graph:: simple bipartite
	v = 18 e = 80 f = 8
	degree seq :: [ 8^10, 10^8 ]

E28.2021 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 10, 10})
Quotient :: loop
Aut^+ = C5 x D16 (small group id <80, 25>)
Aut   = D16 x D10 (small group id <160, 131>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T2 * T1^-1 * T2^-1 * T1^-1, T1^8, T2^10 ]
Map:: non-degenerate
	R = (1, 81, 3, 83, 10, 90, 21, 101, 36, 116, 52, 132, 40, 120, 25, 105, 13, 93, 5, 85)(2, 82, 7, 87, 17, 97, 31, 111, 47, 127, 62, 142, 48, 128, 32, 112, 18, 98, 8, 88)(4, 84, 9, 89, 20, 100, 35, 115, 51, 131, 65, 145, 55, 135, 39, 119, 24, 104, 12, 92)(6, 86, 15, 95, 29, 109, 45, 125, 60, 140, 72, 152, 61, 141, 46, 126, 30, 110, 16, 96)(11, 91, 19, 99, 34, 114, 50, 130, 64, 144, 74, 154, 67, 147, 54, 134, 38, 118, 23, 103)(14, 94, 27, 107, 43, 123, 58, 138, 70, 150, 78, 158, 71, 151, 59, 139, 44, 124, 28, 108)(22, 102, 33, 113, 49, 129, 63, 143, 73, 153, 79, 159, 75, 155, 66, 146, 53, 133, 37, 117)(26, 106, 41, 121, 56, 136, 68, 148, 76, 156, 80, 160, 77, 157, 69, 149, 57, 137, 42, 122)
	L = (1, 82)(2, 86)(3, 89)(4, 81)(5, 92)(6, 94)(7, 83)(8, 85)(9, 99)(10, 97)(11, 84)(12, 103)(13, 98)(14, 106)(15, 87)(16, 88)(17, 109)(18, 110)(19, 113)(20, 90)(21, 115)(22, 91)(23, 117)(24, 93)(25, 119)(26, 102)(27, 95)(28, 96)(29, 123)(30, 124)(31, 101)(32, 105)(33, 121)(34, 100)(35, 130)(36, 127)(37, 122)(38, 104)(39, 134)(40, 128)(41, 107)(42, 108)(43, 136)(44, 137)(45, 111)(46, 112)(47, 140)(48, 141)(49, 114)(50, 143)(51, 116)(52, 145)(53, 118)(54, 146)(55, 120)(56, 129)(57, 133)(58, 125)(59, 126)(60, 150)(61, 151)(62, 132)(63, 148)(64, 131)(65, 154)(66, 149)(67, 135)(68, 138)(69, 139)(70, 156)(71, 157)(72, 142)(73, 144)(74, 159)(75, 147)(76, 153)(77, 155)(78, 152)(79, 160)(80, 158)
	local type(s) :: { ( 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10 ) }
Outer automorphisms :: reflexible
Dual of E28.2020
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 80 f = 18
	degree seq :: [ 20^8 ]

E28.2022 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 10, 10})
Quotient :: dipole
Aut^+ = C5 x D16 (small group id <80, 25>)
Aut   = D16 x D10 (small group id <160, 131>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y3 * Y2 * Y1^-1, Y2 * Y3 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^8, Y2^10, (Y2^-1 * Y1)^10 ]
Map::
	R = (1, 81, 2, 82, 6, 86, 14, 94, 26, 106, 22, 102, 11, 91, 4, 84)(3, 83, 9, 89, 19, 99, 33, 113, 41, 121, 27, 107, 15, 95, 7, 87)(5, 85, 12, 92, 23, 103, 37, 117, 42, 122, 28, 108, 16, 96, 8, 88)(10, 90, 17, 97, 29, 109, 43, 123, 56, 136, 49, 129, 34, 114, 20, 100)(13, 93, 18, 98, 30, 110, 44, 124, 57, 137, 53, 133, 38, 118, 24, 104)(21, 101, 35, 115, 50, 130, 63, 143, 68, 148, 58, 138, 45, 125, 31, 111)(25, 105, 39, 119, 54, 134, 66, 146, 69, 149, 59, 139, 46, 126, 32, 112)(36, 116, 47, 127, 60, 140, 70, 150, 76, 156, 73, 153, 64, 144, 51, 131)(40, 120, 48, 128, 61, 141, 71, 151, 77, 157, 75, 155, 67, 147, 55, 135)(52, 132, 65, 145, 74, 154, 79, 159, 80, 160, 78, 158, 72, 152, 62, 142)(161, 241, 163, 243, 170, 250, 181, 261, 196, 276, 212, 292, 200, 280, 185, 265, 173, 253, 165, 245)(162, 242, 167, 247, 177, 257, 191, 271, 207, 287, 222, 302, 208, 288, 192, 272, 178, 258, 168, 248)(164, 244, 169, 249, 180, 260, 195, 275, 211, 291, 225, 305, 215, 295, 199, 279, 184, 264, 172, 252)(166, 246, 175, 255, 189, 269, 205, 285, 220, 300, 232, 312, 221, 301, 206, 286, 190, 270, 176, 256)(171, 251, 179, 259, 194, 274, 210, 290, 224, 304, 234, 314, 227, 307, 214, 294, 198, 278, 183, 263)(174, 254, 187, 267, 203, 283, 218, 298, 230, 310, 238, 318, 231, 311, 219, 299, 204, 284, 188, 268)(182, 262, 193, 273, 209, 289, 223, 303, 233, 313, 239, 319, 235, 315, 226, 306, 213, 293, 197, 277)(186, 266, 201, 281, 216, 296, 228, 308, 236, 316, 240, 320, 237, 317, 229, 309, 217, 297, 202, 282)
	L = (1, 164)(2, 161)(3, 167)(4, 171)(5, 168)(6, 162)(7, 175)(8, 176)(9, 163)(10, 180)(11, 182)(12, 165)(13, 184)(14, 166)(15, 187)(16, 188)(17, 170)(18, 173)(19, 169)(20, 194)(21, 191)(22, 186)(23, 172)(24, 198)(25, 192)(26, 174)(27, 201)(28, 202)(29, 177)(30, 178)(31, 205)(32, 206)(33, 179)(34, 209)(35, 181)(36, 211)(37, 183)(38, 213)(39, 185)(40, 215)(41, 193)(42, 197)(43, 189)(44, 190)(45, 218)(46, 219)(47, 196)(48, 200)(49, 216)(50, 195)(51, 224)(52, 222)(53, 217)(54, 199)(55, 227)(56, 203)(57, 204)(58, 228)(59, 229)(60, 207)(61, 208)(62, 232)(63, 210)(64, 233)(65, 212)(66, 214)(67, 235)(68, 223)(69, 226)(70, 220)(71, 221)(72, 238)(73, 236)(74, 225)(75, 237)(76, 230)(77, 231)(78, 240)(79, 234)(80, 239)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20 ), ( 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20 ) }
Outer automorphisms :: reflexible
Dual of E28.2023
Graph:: bipartite
	v = 18 e = 160 f = 88
	degree seq :: [ 16^10, 20^8 ]

E28.2023 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 10, 10})
Quotient :: dipole
Aut^+ = C5 x D16 (small group id <80, 25>)
Aut   = D16 x D10 (small group id <160, 131>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y3^-1 * Y1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y3^3 * Y1 * Y3^-5 * Y1^-1, Y1^10, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 81, 2, 82, 6, 86, 14, 94, 26, 106, 41, 121, 40, 120, 24, 104, 12, 92, 4, 84)(3, 83, 8, 88, 15, 95, 28, 108, 42, 122, 57, 137, 52, 132, 36, 116, 21, 101, 10, 90)(5, 85, 7, 87, 16, 96, 27, 107, 43, 123, 56, 136, 55, 135, 39, 119, 23, 103, 11, 91)(9, 89, 18, 98, 29, 109, 45, 125, 58, 138, 69, 149, 65, 145, 51, 131, 35, 115, 20, 100)(13, 93, 17, 97, 30, 110, 44, 124, 59, 139, 68, 148, 67, 147, 54, 134, 38, 118, 22, 102)(19, 99, 32, 112, 46, 126, 61, 141, 70, 150, 77, 157, 74, 154, 64, 144, 50, 130, 34, 114)(25, 105, 31, 111, 47, 127, 60, 140, 71, 151, 76, 156, 75, 155, 66, 146, 53, 133, 37, 117)(33, 113, 48, 128, 62, 142, 72, 152, 78, 158, 80, 160, 79, 159, 73, 153, 63, 143, 49, 129)(161, 241)(162, 242)(163, 243)(164, 244)(165, 245)(166, 246)(167, 247)(168, 248)(169, 249)(170, 250)(171, 251)(172, 252)(173, 253)(174, 254)(175, 255)(176, 256)(177, 257)(178, 258)(179, 259)(180, 260)(181, 261)(182, 262)(183, 263)(184, 264)(185, 265)(186, 266)(187, 267)(188, 268)(189, 269)(190, 270)(191, 271)(192, 272)(193, 273)(194, 274)(195, 275)(196, 276)(197, 277)(198, 278)(199, 279)(200, 280)(201, 281)(202, 282)(203, 283)(204, 284)(205, 285)(206, 286)(207, 287)(208, 288)(209, 289)(210, 290)(211, 291)(212, 292)(213, 293)(214, 294)(215, 295)(216, 296)(217, 297)(218, 298)(219, 299)(220, 300)(221, 301)(222, 302)(223, 303)(224, 304)(225, 305)(226, 306)(227, 307)(228, 308)(229, 309)(230, 310)(231, 311)(232, 312)(233, 313)(234, 314)(235, 315)(236, 316)(237, 317)(238, 318)(239, 319)(240, 320)
	L = (1, 163)(2, 167)(3, 169)(4, 171)(5, 161)(6, 175)(7, 177)(8, 162)(9, 179)(10, 164)(11, 182)(12, 181)(13, 165)(14, 187)(15, 189)(16, 166)(17, 191)(18, 168)(19, 193)(20, 170)(21, 195)(22, 197)(23, 172)(24, 199)(25, 173)(26, 202)(27, 204)(28, 174)(29, 206)(30, 176)(31, 208)(32, 178)(33, 185)(34, 180)(35, 210)(36, 184)(37, 209)(38, 183)(39, 214)(40, 212)(41, 216)(42, 218)(43, 186)(44, 220)(45, 188)(46, 222)(47, 190)(48, 192)(49, 194)(50, 223)(51, 196)(52, 225)(53, 198)(54, 226)(55, 200)(56, 228)(57, 201)(58, 230)(59, 203)(60, 232)(61, 205)(62, 207)(63, 213)(64, 211)(65, 234)(66, 233)(67, 215)(68, 236)(69, 217)(70, 238)(71, 219)(72, 221)(73, 224)(74, 239)(75, 227)(76, 240)(77, 229)(78, 231)(79, 235)(80, 237)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 16, 20 ), ( 16, 20, 16, 20, 16, 20, 16, 20, 16, 20, 16, 20, 16, 20, 16, 20, 16, 20, 16, 20 ) }
Outer automorphisms :: reflexible
Dual of E28.2022
Graph:: simple bipartite
	v = 88 e = 160 f = 18
	degree seq :: [ 2^80, 20^8 ]

E28.2024 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {5, 16, 16})
Quotient :: edge
Aut^+ = C5 : C16 (small group id <80, 1>)
Aut   = (C5 x D16) : C2 (small group id <160, 33>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T2 * T1^-1 * T2^-1 * T1^-1, T1^5, T2^16 ]
Map:: non-degenerate
	R = (1, 3, 10, 20, 30, 40, 50, 60, 70, 63, 53, 43, 33, 23, 13, 5)(2, 7, 16, 26, 36, 46, 56, 66, 75, 67, 57, 47, 37, 27, 17, 8)(4, 9, 19, 29, 39, 49, 59, 69, 77, 72, 62, 52, 42, 32, 22, 12)(6, 14, 24, 34, 44, 54, 64, 73, 79, 74, 65, 55, 45, 35, 25, 15)(11, 18, 28, 38, 48, 58, 68, 76, 80, 78, 71, 61, 51, 41, 31, 21)(81, 82, 86, 91, 84)(83, 89, 98, 94, 87)(85, 92, 101, 95, 88)(90, 96, 104, 108, 99)(93, 97, 105, 111, 102)(100, 109, 118, 114, 106)(103, 112, 121, 115, 107)(110, 116, 124, 128, 119)(113, 117, 125, 131, 122)(120, 129, 138, 134, 126)(123, 132, 141, 135, 127)(130, 136, 144, 148, 139)(133, 137, 145, 151, 142)(140, 149, 156, 153, 146)(143, 152, 158, 154, 147)(150, 155, 159, 160, 157)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 32^5 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E28.2025
Transitivity :: ET+
Graph:: simple bipartite
	v = 21 e = 80 f = 5
	degree seq :: [ 5^16, 16^5 ]

E28.2025 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {5, 16, 16})
Quotient :: loop
Aut^+ = C5 : C16 (small group id <80, 1>)
Aut   = (C5 x D16) : C2 (small group id <160, 33>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T2 * T1^-1 * T2^-1 * T1^-1, T1^5, T2^16 ]
Map:: non-degenerate
	R = (1, 81, 3, 83, 10, 90, 20, 100, 30, 110, 40, 120, 50, 130, 60, 140, 70, 150, 63, 143, 53, 133, 43, 123, 33, 113, 23, 103, 13, 93, 5, 85)(2, 82, 7, 87, 16, 96, 26, 106, 36, 116, 46, 126, 56, 136, 66, 146, 75, 155, 67, 147, 57, 137, 47, 127, 37, 117, 27, 107, 17, 97, 8, 88)(4, 84, 9, 89, 19, 99, 29, 109, 39, 119, 49, 129, 59, 139, 69, 149, 77, 157, 72, 152, 62, 142, 52, 132, 42, 122, 32, 112, 22, 102, 12, 92)(6, 86, 14, 94, 24, 104, 34, 114, 44, 124, 54, 134, 64, 144, 73, 153, 79, 159, 74, 154, 65, 145, 55, 135, 45, 125, 35, 115, 25, 105, 15, 95)(11, 91, 18, 98, 28, 108, 38, 118, 48, 128, 58, 138, 68, 148, 76, 156, 80, 160, 78, 158, 71, 151, 61, 141, 51, 131, 41, 121, 31, 111, 21, 101)
	L = (1, 82)(2, 86)(3, 89)(4, 81)(5, 92)(6, 91)(7, 83)(8, 85)(9, 98)(10, 96)(11, 84)(12, 101)(13, 97)(14, 87)(15, 88)(16, 104)(17, 105)(18, 94)(19, 90)(20, 109)(21, 95)(22, 93)(23, 112)(24, 108)(25, 111)(26, 100)(27, 103)(28, 99)(29, 118)(30, 116)(31, 102)(32, 121)(33, 117)(34, 106)(35, 107)(36, 124)(37, 125)(38, 114)(39, 110)(40, 129)(41, 115)(42, 113)(43, 132)(44, 128)(45, 131)(46, 120)(47, 123)(48, 119)(49, 138)(50, 136)(51, 122)(52, 141)(53, 137)(54, 126)(55, 127)(56, 144)(57, 145)(58, 134)(59, 130)(60, 149)(61, 135)(62, 133)(63, 152)(64, 148)(65, 151)(66, 140)(67, 143)(68, 139)(69, 156)(70, 155)(71, 142)(72, 158)(73, 146)(74, 147)(75, 159)(76, 153)(77, 150)(78, 154)(79, 160)(80, 157)
	local type(s) :: { ( 5, 16, 5, 16, 5, 16, 5, 16, 5, 16, 5, 16, 5, 16, 5, 16, 5, 16, 5, 16, 5, 16, 5, 16, 5, 16, 5, 16, 5, 16, 5, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.2024
Transitivity :: ET+ VT+ AT
Graph::
	v = 5 e = 80 f = 21
	degree seq :: [ 32^5 ]

E28.2026 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 16, 16})
Quotient :: dipole
Aut^+ = C5 : C16 (small group id <80, 1>)
Aut   = (C5 x D16) : C2 (small group id <160, 33>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y3 * Y2 * Y1^-1, Y2 * Y3 * Y2^-1 * Y1^-1, Y1^5, (R * Y2 * Y3^-1)^2, Y2^16, (Y2^-1 * Y1)^16 ]
Map::
	R = (1, 81, 2, 82, 6, 86, 11, 91, 4, 84)(3, 83, 9, 89, 18, 98, 14, 94, 7, 87)(5, 85, 12, 92, 21, 101, 15, 95, 8, 88)(10, 90, 16, 96, 24, 104, 28, 108, 19, 99)(13, 93, 17, 97, 25, 105, 31, 111, 22, 102)(20, 100, 29, 109, 38, 118, 34, 114, 26, 106)(23, 103, 32, 112, 41, 121, 35, 115, 27, 107)(30, 110, 36, 116, 44, 124, 48, 128, 39, 119)(33, 113, 37, 117, 45, 125, 51, 131, 42, 122)(40, 120, 49, 129, 58, 138, 54, 134, 46, 126)(43, 123, 52, 132, 61, 141, 55, 135, 47, 127)(50, 130, 56, 136, 64, 144, 68, 148, 59, 139)(53, 133, 57, 137, 65, 145, 71, 151, 62, 142)(60, 140, 69, 149, 76, 156, 73, 153, 66, 146)(63, 143, 72, 152, 78, 158, 74, 154, 67, 147)(70, 150, 75, 155, 79, 159, 80, 160, 77, 157)(161, 241, 163, 243, 170, 250, 180, 260, 190, 270, 200, 280, 210, 290, 220, 300, 230, 310, 223, 303, 213, 293, 203, 283, 193, 273, 183, 263, 173, 253, 165, 245)(162, 242, 167, 247, 176, 256, 186, 266, 196, 276, 206, 286, 216, 296, 226, 306, 235, 315, 227, 307, 217, 297, 207, 287, 197, 277, 187, 267, 177, 257, 168, 248)(164, 244, 169, 249, 179, 259, 189, 269, 199, 279, 209, 289, 219, 299, 229, 309, 237, 317, 232, 312, 222, 302, 212, 292, 202, 282, 192, 272, 182, 262, 172, 252)(166, 246, 174, 254, 184, 264, 194, 274, 204, 284, 214, 294, 224, 304, 233, 313, 239, 319, 234, 314, 225, 305, 215, 295, 205, 285, 195, 275, 185, 265, 175, 255)(171, 251, 178, 258, 188, 268, 198, 278, 208, 288, 218, 298, 228, 308, 236, 316, 240, 320, 238, 318, 231, 311, 221, 301, 211, 291, 201, 281, 191, 271, 181, 261)
	L = (1, 164)(2, 161)(3, 167)(4, 171)(5, 168)(6, 162)(7, 174)(8, 175)(9, 163)(10, 179)(11, 166)(12, 165)(13, 182)(14, 178)(15, 181)(16, 170)(17, 173)(18, 169)(19, 188)(20, 186)(21, 172)(22, 191)(23, 187)(24, 176)(25, 177)(26, 194)(27, 195)(28, 184)(29, 180)(30, 199)(31, 185)(32, 183)(33, 202)(34, 198)(35, 201)(36, 190)(37, 193)(38, 189)(39, 208)(40, 206)(41, 192)(42, 211)(43, 207)(44, 196)(45, 197)(46, 214)(47, 215)(48, 204)(49, 200)(50, 219)(51, 205)(52, 203)(53, 222)(54, 218)(55, 221)(56, 210)(57, 213)(58, 209)(59, 228)(60, 226)(61, 212)(62, 231)(63, 227)(64, 216)(65, 217)(66, 233)(67, 234)(68, 224)(69, 220)(70, 237)(71, 225)(72, 223)(73, 236)(74, 238)(75, 230)(76, 229)(77, 240)(78, 232)(79, 235)(80, 239)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 2, 32, 2, 32, 2, 32, 2, 32, 2, 32 ), ( 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32 ) }
Outer automorphisms :: reflexible
Dual of E28.2027
Graph:: bipartite
	v = 21 e = 160 f = 85
	degree seq :: [ 10^16, 32^5 ]

E28.2027 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 16, 16})
Quotient :: dipole
Aut^+ = C5 : C16 (small group id <80, 1>)
Aut   = (C5 x D16) : C2 (small group id <160, 33>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y3^-1 * Y1 * Y3^-1, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^5, Y1^16 ]
Map::
	R = (1, 81, 2, 82, 6, 86, 14, 94, 24, 104, 34, 114, 44, 124, 54, 134, 64, 144, 63, 143, 53, 133, 43, 123, 33, 113, 23, 103, 12, 92, 4, 84)(3, 83, 8, 88, 15, 95, 26, 106, 35, 115, 46, 126, 55, 135, 66, 146, 73, 153, 70, 150, 60, 140, 50, 130, 40, 120, 30, 110, 20, 100, 10, 90)(5, 85, 7, 87, 16, 96, 25, 105, 36, 116, 45, 125, 56, 136, 65, 145, 74, 154, 72, 152, 62, 142, 52, 132, 42, 122, 32, 112, 22, 102, 11, 91)(9, 89, 18, 98, 27, 107, 38, 118, 47, 127, 58, 138, 67, 147, 76, 156, 79, 159, 77, 157, 69, 149, 59, 139, 49, 129, 39, 119, 29, 109, 19, 99)(13, 93, 17, 97, 28, 108, 37, 117, 48, 128, 57, 137, 68, 148, 75, 155, 80, 160, 78, 158, 71, 151, 61, 141, 51, 131, 41, 121, 31, 111, 21, 101)(161, 241)(162, 242)(163, 243)(164, 244)(165, 245)(166, 246)(167, 247)(168, 248)(169, 249)(170, 250)(171, 251)(172, 252)(173, 253)(174, 254)(175, 255)(176, 256)(177, 257)(178, 258)(179, 259)(180, 260)(181, 261)(182, 262)(183, 263)(184, 264)(185, 265)(186, 266)(187, 267)(188, 268)(189, 269)(190, 270)(191, 271)(192, 272)(193, 273)(194, 274)(195, 275)(196, 276)(197, 277)(198, 278)(199, 279)(200, 280)(201, 281)(202, 282)(203, 283)(204, 284)(205, 285)(206, 286)(207, 287)(208, 288)(209, 289)(210, 290)(211, 291)(212, 292)(213, 293)(214, 294)(215, 295)(216, 296)(217, 297)(218, 298)(219, 299)(220, 300)(221, 301)(222, 302)(223, 303)(224, 304)(225, 305)(226, 306)(227, 307)(228, 308)(229, 309)(230, 310)(231, 311)(232, 312)(233, 313)(234, 314)(235, 315)(236, 316)(237, 317)(238, 318)(239, 319)(240, 320)
	L = (1, 163)(2, 167)(3, 169)(4, 171)(5, 161)(6, 175)(7, 177)(8, 162)(9, 173)(10, 164)(11, 181)(12, 180)(13, 165)(14, 185)(15, 187)(16, 166)(17, 178)(18, 168)(19, 170)(20, 189)(21, 179)(22, 172)(23, 192)(24, 195)(25, 197)(26, 174)(27, 188)(28, 176)(29, 191)(30, 183)(31, 182)(32, 201)(33, 200)(34, 205)(35, 207)(36, 184)(37, 198)(38, 186)(39, 190)(40, 209)(41, 199)(42, 193)(43, 212)(44, 215)(45, 217)(46, 194)(47, 208)(48, 196)(49, 211)(50, 203)(51, 202)(52, 221)(53, 220)(54, 225)(55, 227)(56, 204)(57, 218)(58, 206)(59, 210)(60, 229)(61, 219)(62, 213)(63, 232)(64, 233)(65, 235)(66, 214)(67, 228)(68, 216)(69, 231)(70, 223)(71, 222)(72, 238)(73, 239)(74, 224)(75, 236)(76, 226)(77, 230)(78, 237)(79, 240)(80, 234)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 10, 32 ), ( 10, 32, 10, 32, 10, 32, 10, 32, 10, 32, 10, 32, 10, 32, 10, 32, 10, 32, 10, 32, 10, 32, 10, 32, 10, 32, 10, 32, 10, 32, 10, 32 ) }
Outer automorphisms :: reflexible
Dual of E28.2026
Graph:: simple bipartite
	v = 85 e = 160 f = 21
	degree seq :: [ 2^80, 32^5 ]

E28.2028 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {5, 16, 16})
Quotient :: edge
Aut^+ = C5 : C16 (small group id <80, 3>)
Aut   = C5 : C16 (small group id <80, 3>)
|r| :: 1
Presentation :: [ X1^5, X1 * X2 * X1 * X2^-1 * X1, X1 * X2 * X1^-2 * X2^-1, X2^16, X2^-2 * X1^-1 * X2^-3 * X1^-1 * X2^-3 * X1^-1 * X2^-3 * X1^-1 * X2^-3 * X1^-1 * X2^-2 * X1^-1 ]
Map:: non-degenerate
	R = (1, 2, 6, 13, 4)(3, 9, 7, 12, 11)(5, 15, 14, 8, 16)(10, 21, 20, 23, 18)(17, 24, 26, 25, 19)(22, 32, 31, 28, 30)(27, 36, 29, 34, 35)(33, 38, 42, 40, 41)(37, 39, 45, 46, 44)(43, 50, 48, 51, 52)(47, 55, 54, 49, 56)(53, 61, 60, 62, 58)(57, 64, 66, 65, 59)(63, 72, 71, 68, 70)(67, 76, 69, 74, 75)(73, 77, 80, 78, 79)(81, 83, 90, 102, 113, 123, 133, 143, 153, 147, 137, 127, 117, 107, 97, 85)(82, 87, 98, 108, 118, 128, 138, 148, 157, 149, 139, 129, 119, 109, 99, 88)(84, 92, 101, 111, 121, 131, 141, 151, 159, 154, 144, 134, 124, 114, 104, 94)(86, 91, 103, 112, 122, 132, 142, 152, 160, 155, 145, 135, 125, 115, 105, 95)(89, 100, 110, 120, 130, 140, 150, 158, 156, 146, 136, 126, 116, 106, 96, 93)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 32^5 ), ( 32^16 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 21 e = 80 f = 5
	degree seq :: [ 5^16, 16^5 ]

E28.2029 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {5, 16, 16})
Quotient :: loop
Aut^+ = C5 : C16 (small group id <80, 3>)
Aut   = C5 : C16 (small group id <80, 3>)
|r| :: 1
Presentation :: [ X2 * X1^3 * X2 * X1^-1, X2^-3 * X1^-1 * X2 * X1^-1, X1^-1 * X2^-2 * X1 * X2 * X1^-1, X1^-1 * X2^-1 * X1^-1 * X2^-2 * X1^-1, X2^-1 * X1 * X2^-2 * X1 * X2^-2 * X1 * X2^-2 * X1 * X2^-2 * X1 * X2^-1 * X1, X1^-1 * X2 * X1^-1 * X2^13 ]
Map:: non-degenerate
	R = (1, 81, 2, 82, 6, 86, 18, 98, 34, 114, 46, 126, 56, 136, 66, 146, 76, 156, 73, 153, 64, 144, 52, 132, 41, 121, 30, 110, 13, 93, 4, 84)(3, 83, 9, 89, 25, 105, 8, 88, 24, 104, 40, 120, 49, 129, 57, 137, 68, 148, 80, 160, 74, 154, 62, 142, 51, 131, 43, 123, 31, 111, 11, 91)(5, 85, 15, 95, 33, 113, 38, 118, 47, 127, 58, 138, 70, 150, 79, 159, 71, 151, 63, 143, 54, 134, 42, 122, 28, 108, 12, 92, 27, 107, 16, 96)(7, 87, 21, 101, 17, 97, 20, 100, 37, 117, 50, 130, 59, 139, 67, 147, 78, 158, 72, 152, 61, 141, 53, 133, 44, 124, 29, 109, 10, 90, 23, 103)(14, 94, 19, 99, 36, 116, 26, 106, 35, 115, 48, 128, 60, 140, 69, 149, 77, 157, 75, 155, 65, 145, 55, 135, 45, 125, 32, 112, 39, 119, 22, 102)
	L = (1, 83)(2, 87)(3, 90)(4, 92)(5, 81)(6, 99)(7, 102)(8, 82)(9, 107)(10, 108)(11, 110)(12, 111)(13, 112)(14, 84)(15, 105)(16, 103)(17, 85)(18, 95)(19, 96)(20, 86)(21, 89)(22, 91)(23, 93)(24, 97)(25, 94)(26, 88)(27, 119)(28, 121)(29, 123)(30, 124)(31, 125)(32, 122)(33, 116)(34, 104)(35, 98)(36, 101)(37, 106)(38, 100)(39, 109)(40, 113)(41, 131)(42, 133)(43, 134)(44, 135)(45, 132)(46, 117)(47, 114)(48, 118)(49, 115)(50, 120)(51, 141)(52, 143)(53, 144)(54, 145)(55, 142)(56, 128)(57, 126)(58, 129)(59, 127)(60, 130)(61, 151)(62, 153)(63, 154)(64, 155)(65, 152)(66, 138)(67, 136)(68, 139)(69, 137)(70, 140)(71, 156)(72, 160)(73, 158)(74, 157)(75, 159)(76, 148)(77, 146)(78, 149)(79, 147)(80, 150)
	local type(s) :: { ( 5, 16, 5, 16, 5, 16, 5, 16, 5, 16, 5, 16, 5, 16, 5, 16, 5, 16, 5, 16, 5, 16, 5, 16, 5, 16, 5, 16, 5, 16, 5, 16 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph::
	v = 5 e = 80 f = 21
	degree seq :: [ 32^5 ]

E28.2030 :: Family: { 2*ex } :: Oriented family(ies): { E3c }
Signature :: (0; {5, 16, 16})
Quotient :: loop
Aut^+ = C5 : C16 (small group id <80, 3>)
Aut   = (C5 : C16) : C2 (small group id <160, 64>)
|r| :: 2
Presentation :: [ F^2, F * T1 * F * T2, T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T1^-1 * T2^-1 * T1^-1 * T2^-2 * T1^-1, T1^-1 * T2^-1 * T1 * T2^-1 * T1^-2, T2^-1 * T1 * T2^-1 * T1^13, T2^16 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 28, 41, 51, 61, 71, 76, 68, 59, 47, 34, 24, 17, 5)(2, 7, 22, 11, 30, 44, 55, 62, 73, 78, 69, 57, 46, 37, 26, 8)(4, 12, 31, 45, 52, 63, 74, 77, 66, 58, 49, 35, 18, 15, 25, 14)(6, 19, 16, 23, 13, 32, 42, 53, 64, 75, 79, 67, 56, 48, 38, 20)(9, 27, 39, 29, 43, 54, 65, 72, 80, 70, 60, 50, 40, 33, 36, 21)(81, 82, 86, 98, 114, 126, 136, 146, 156, 153, 144, 132, 121, 110, 93, 84)(83, 89, 105, 88, 104, 120, 129, 137, 148, 160, 154, 142, 131, 123, 111, 91)(85, 95, 113, 118, 127, 138, 150, 159, 151, 143, 134, 122, 108, 92, 107, 96)(87, 101, 97, 100, 117, 130, 139, 147, 158, 152, 141, 133, 124, 109, 90, 103)(94, 99, 116, 106, 115, 128, 140, 149, 157, 155, 145, 135, 125, 112, 119, 102)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 10^16 ) }
Outer automorphisms :: reflexible
Dual of E28.2031
Transitivity :: ET+ VT AT
Graph:: bipartite
	v = 10 e = 80 f = 16
	degree seq :: [ 16^10 ]

E28.2031 :: Family: { 2ex } :: Oriented family(ies): { E3*c }
Signature :: (0; {5, 16, 16})
Quotient :: edge
Aut^+ = C5 : C16 (small group id <80, 3>)
Aut   = (C5 : C16) : C2 (small group id <160, 64>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, F * T1 * T2 * F * T1^-1, T2 * T1^-1 * T2^-1 * T1 * T2, T1 * T2 * T1^-1 * T2^2, T2^5, T1^16, T1^-2 * T2^-1 * T1^-3 * T2^-1 * T1^-3 * T2^-1 * T1^-3 * T2^-1 * T1^-3 * T2 * T1^-2 * T2 ]
Map:: polytopal non-degenerate
	R = (1, 81, 3, 83, 10, 90, 17, 97, 5, 85)(2, 82, 7, 87, 9, 89, 15, 95, 8, 88)(4, 84, 12, 92, 16, 96, 11, 91, 14, 94)(6, 86, 19, 99, 21, 101, 22, 102, 20, 100)(13, 93, 25, 105, 27, 107, 24, 104, 23, 103)(18, 98, 29, 109, 31, 111, 32, 112, 30, 110)(26, 106, 36, 116, 33, 113, 35, 115, 34, 114)(28, 108, 39, 119, 41, 121, 42, 122, 40, 120)(37, 117, 43, 123, 44, 124, 46, 126, 45, 125)(38, 118, 49, 129, 51, 131, 52, 132, 50, 130)(47, 127, 54, 134, 55, 135, 53, 133, 56, 136)(48, 128, 59, 139, 61, 141, 62, 142, 60, 140)(57, 137, 65, 145, 66, 146, 64, 144, 63, 143)(58, 138, 69, 149, 71, 151, 72, 152, 70, 150)(67, 147, 76, 156, 73, 153, 75, 155, 74, 154)(68, 148, 77, 157, 79, 159, 80, 160, 78, 158)
	L = (1, 82)(2, 86)(3, 89)(4, 81)(5, 95)(6, 98)(7, 101)(8, 102)(9, 100)(10, 88)(11, 83)(12, 90)(13, 84)(14, 97)(15, 99)(16, 85)(17, 87)(18, 108)(19, 111)(20, 112)(21, 110)(22, 109)(23, 91)(24, 92)(25, 96)(26, 93)(27, 94)(28, 118)(29, 121)(30, 122)(31, 120)(32, 119)(33, 103)(34, 104)(35, 105)(36, 107)(37, 106)(38, 128)(39, 131)(40, 132)(41, 130)(42, 129)(43, 113)(44, 114)(45, 115)(46, 116)(47, 117)(48, 138)(49, 141)(50, 142)(51, 140)(52, 139)(53, 123)(54, 124)(55, 125)(56, 126)(57, 127)(58, 148)(59, 151)(60, 152)(61, 150)(62, 149)(63, 133)(64, 134)(65, 135)(66, 136)(67, 137)(68, 147)(69, 159)(70, 160)(71, 158)(72, 157)(73, 143)(74, 144)(75, 145)(76, 146)(77, 153)(78, 155)(79, 154)(80, 156)
	local type(s) :: { ( 16^10 ) }
Outer automorphisms :: reflexible
Dual of E28.2030
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 16 e = 80 f = 10
	degree seq :: [ 10^16 ]

E28.2032 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {5, 16, 16})
Quotient :: edge^2
Aut^+ = C5 : C16 (small group id <80, 3>)
Aut   = (C5 : C16) : C2 (small group id <160, 64>)
|r| :: 2
Presentation :: [ Y3, R^2, R * Y1 * R * Y2, (R * Y3)^2, Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1, Y2 * Y1^-1 * Y2^-3 * Y1^-1, Y1^-1 * Y2^2 * Y1^2 * Y2^-1, (Y1^-1 * Y3^-1 * Y2^-1)^5, Y1^-1 * Y2 * Y1^-1 * Y2^13, Y1^16 ]
Map:: polytopal
	R = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)(161, 162, 166, 178, 194, 206, 216, 226, 236, 233, 224, 212, 201, 190, 173, 164)(163, 169, 185, 168, 184, 200, 209, 217, 228, 240, 234, 222, 211, 203, 191, 171)(165, 175, 193, 198, 207, 218, 230, 239, 231, 223, 214, 202, 188, 172, 187, 176)(167, 181, 177, 180, 197, 210, 219, 227, 238, 232, 221, 213, 204, 189, 170, 183)(174, 179, 196, 186, 195, 208, 220, 229, 237, 235, 225, 215, 205, 192, 199, 182)(241, 243, 250, 268, 281, 291, 301, 311, 316, 308, 299, 287, 274, 264, 257, 245)(242, 247, 262, 251, 270, 284, 295, 302, 313, 318, 309, 297, 286, 277, 266, 248)(244, 252, 271, 285, 292, 303, 314, 317, 306, 298, 289, 275, 258, 255, 265, 254)(246, 259, 256, 263, 253, 272, 282, 293, 304, 315, 319, 307, 296, 288, 278, 260)(249, 267, 279, 269, 283, 294, 305, 312, 320, 310, 300, 290, 280, 273, 276, 261)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 20, 20 ), ( 20^16 ) }
Outer automorphisms :: reflexible
Dual of E28.2035
Graph:: simple bipartite
	v = 90 e = 160 f = 16
	degree seq :: [ 2^80, 16^10 ]

E28.2033 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {5, 16, 16})
Quotient :: edge^2
Aut^+ = C5 : C16 (small group id <80, 3>)
Aut   = (C5 : C16) : C2 (small group id <160, 64>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1 * Y2^-1, Y1^-1 * Y2^-1 * Y3^-2, R * Y2 * R * Y1, Y2 * Y3^-1 * Y1 * Y3^-1, (R * Y3)^2, Y1^-1 * Y2^-1 * Y3^3, Y2 * Y3^-2 * Y1 * Y3, Y2^16, Y1^16 ]
Map:: polytopal non-degenerate
	R = (1, 81, 4, 84, 17, 97, 12, 92, 7, 87)(2, 82, 9, 89, 6, 86, 22, 102, 11, 91)(3, 83, 5, 85, 19, 99, 16, 96, 15, 95)(8, 88, 23, 103, 10, 90, 27, 107, 21, 101)(13, 93, 14, 94, 32, 112, 18, 98, 20, 100)(24, 104, 28, 108, 25, 105, 35, 115, 26, 106)(29, 109, 30, 110, 34, 114, 31, 111, 33, 113)(36, 116, 39, 119, 37, 117, 40, 120, 38, 118)(41, 121, 42, 122, 45, 125, 43, 123, 44, 124)(46, 126, 49, 129, 47, 127, 50, 130, 48, 128)(51, 131, 52, 132, 55, 135, 53, 133, 54, 134)(56, 136, 59, 139, 57, 137, 60, 140, 58, 138)(61, 141, 62, 142, 65, 145, 63, 143, 64, 144)(66, 146, 69, 149, 67, 147, 70, 150, 68, 148)(71, 151, 72, 152, 75, 155, 73, 153, 74, 154)(76, 156, 79, 159, 77, 157, 80, 160, 78, 158)(161, 162, 168, 184, 196, 206, 216, 226, 236, 233, 224, 212, 201, 191, 180, 165)(163, 172, 169, 170, 186, 200, 209, 217, 228, 240, 234, 222, 211, 203, 193, 174)(164, 166, 181, 195, 199, 207, 218, 230, 239, 231, 223, 214, 202, 189, 178, 175)(167, 182, 183, 185, 198, 210, 219, 227, 238, 232, 221, 213, 204, 190, 173, 176)(171, 187, 188, 197, 208, 220, 229, 237, 235, 225, 215, 205, 194, 192, 179, 177)(241, 243, 253, 269, 281, 291, 301, 311, 316, 308, 299, 287, 276, 266, 263, 246)(242, 247, 259, 254, 271, 284, 295, 302, 313, 318, 309, 297, 286, 278, 268, 250)(244, 256, 260, 274, 282, 293, 304, 315, 319, 307, 296, 288, 279, 265, 248, 251)(245, 258, 273, 285, 292, 303, 314, 317, 306, 298, 289, 277, 264, 261, 249, 257)(252, 255, 272, 270, 283, 294, 305, 312, 320, 310, 300, 290, 280, 275, 267, 262)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4^10 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E28.2034
Graph:: simple bipartite
	v = 26 e = 160 f = 80
	degree seq :: [ 10^16, 16^10 ]

E28.2034 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {5, 16, 16})
Quotient :: loop^2
Aut^+ = C5 : C16 (small group id <80, 3>)
Aut   = (C5 : C16) : C2 (small group id <160, 64>)
|r| :: 2
Presentation :: [ Y3, R^2, R * Y1 * R * Y2, (R * Y3)^2, Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1, Y2 * Y1^-1 * Y2^-3 * Y1^-1, Y1^-1 * Y2^2 * Y1^2 * Y2^-1, (Y1^-1 * Y3^-1 * Y2^-1)^5, Y1^-1 * Y2 * Y1^-1 * Y2^13, Y1^16 ]
Map:: polytopal non-degenerate
	R = (1, 81, 161, 241)(2, 82, 162, 242)(3, 83, 163, 243)(4, 84, 164, 244)(5, 85, 165, 245)(6, 86, 166, 246)(7, 87, 167, 247)(8, 88, 168, 248)(9, 89, 169, 249)(10, 90, 170, 250)(11, 91, 171, 251)(12, 92, 172, 252)(13, 93, 173, 253)(14, 94, 174, 254)(15, 95, 175, 255)(16, 96, 176, 256)(17, 97, 177, 257)(18, 98, 178, 258)(19, 99, 179, 259)(20, 100, 180, 260)(21, 101, 181, 261)(22, 102, 182, 262)(23, 103, 183, 263)(24, 104, 184, 264)(25, 105, 185, 265)(26, 106, 186, 266)(27, 107, 187, 267)(28, 108, 188, 268)(29, 109, 189, 269)(30, 110, 190, 270)(31, 111, 191, 271)(32, 112, 192, 272)(33, 113, 193, 273)(34, 114, 194, 274)(35, 115, 195, 275)(36, 116, 196, 276)(37, 117, 197, 277)(38, 118, 198, 278)(39, 119, 199, 279)(40, 120, 200, 280)(41, 121, 201, 281)(42, 122, 202, 282)(43, 123, 203, 283)(44, 124, 204, 284)(45, 125, 205, 285)(46, 126, 206, 286)(47, 127, 207, 287)(48, 128, 208, 288)(49, 129, 209, 289)(50, 130, 210, 290)(51, 131, 211, 291)(52, 132, 212, 292)(53, 133, 213, 293)(54, 134, 214, 294)(55, 135, 215, 295)(56, 136, 216, 296)(57, 137, 217, 297)(58, 138, 218, 298)(59, 139, 219, 299)(60, 140, 220, 300)(61, 141, 221, 301)(62, 142, 222, 302)(63, 143, 223, 303)(64, 144, 224, 304)(65, 145, 225, 305)(66, 146, 226, 306)(67, 147, 227, 307)(68, 148, 228, 308)(69, 149, 229, 309)(70, 150, 230, 310)(71, 151, 231, 311)(72, 152, 232, 312)(73, 153, 233, 313)(74, 154, 234, 314)(75, 155, 235, 315)(76, 156, 236, 316)(77, 157, 237, 317)(78, 158, 238, 318)(79, 159, 239, 319)(80, 160, 240, 320)
	L = (1, 82)(2, 86)(3, 89)(4, 81)(5, 95)(6, 98)(7, 101)(8, 104)(9, 105)(10, 103)(11, 83)(12, 107)(13, 84)(14, 99)(15, 113)(16, 85)(17, 100)(18, 114)(19, 116)(20, 117)(21, 97)(22, 94)(23, 87)(24, 120)(25, 88)(26, 115)(27, 96)(28, 92)(29, 90)(30, 93)(31, 91)(32, 119)(33, 118)(34, 126)(35, 128)(36, 106)(37, 130)(38, 127)(39, 102)(40, 129)(41, 110)(42, 108)(43, 111)(44, 109)(45, 112)(46, 136)(47, 138)(48, 140)(49, 137)(50, 139)(51, 123)(52, 121)(53, 124)(54, 122)(55, 125)(56, 146)(57, 148)(58, 150)(59, 147)(60, 149)(61, 133)(62, 131)(63, 134)(64, 132)(65, 135)(66, 156)(67, 158)(68, 160)(69, 157)(70, 159)(71, 143)(72, 141)(73, 144)(74, 142)(75, 145)(76, 153)(77, 155)(78, 152)(79, 151)(80, 154)(161, 243)(162, 247)(163, 250)(164, 252)(165, 241)(166, 259)(167, 262)(168, 242)(169, 267)(170, 268)(171, 270)(172, 271)(173, 272)(174, 244)(175, 265)(176, 263)(177, 245)(178, 255)(179, 256)(180, 246)(181, 249)(182, 251)(183, 253)(184, 257)(185, 254)(186, 248)(187, 279)(188, 281)(189, 283)(190, 284)(191, 285)(192, 282)(193, 276)(194, 264)(195, 258)(196, 261)(197, 266)(198, 260)(199, 269)(200, 273)(201, 291)(202, 293)(203, 294)(204, 295)(205, 292)(206, 277)(207, 274)(208, 278)(209, 275)(210, 280)(211, 301)(212, 303)(213, 304)(214, 305)(215, 302)(216, 288)(217, 286)(218, 289)(219, 287)(220, 290)(221, 311)(222, 313)(223, 314)(224, 315)(225, 312)(226, 298)(227, 296)(228, 299)(229, 297)(230, 300)(231, 316)(232, 320)(233, 318)(234, 317)(235, 319)(236, 308)(237, 306)(238, 309)(239, 307)(240, 310)
	local type(s) :: { ( 10, 16, 10, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.2033
Transitivity :: VT+
Graph:: simple bipartite
	v = 80 e = 160 f = 26
	degree seq :: [ 4^80 ]

E28.2035 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {5, 16, 16})
Quotient :: loop^2
Aut^+ = C5 : C16 (small group id <80, 3>)
Aut   = (C5 : C16) : C2 (small group id <160, 64>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1 * Y2^-1, Y1^-1 * Y2^-1 * Y3^-2, R * Y2 * R * Y1, Y2 * Y3^-1 * Y1 * Y3^-1, (R * Y3)^2, Y1^-1 * Y2^-1 * Y3^3, Y2 * Y3^-2 * Y1 * Y3, Y2^16, Y1^16 ]
Map::
	R = (1, 81, 161, 241, 4, 84, 164, 244, 17, 97, 177, 257, 12, 92, 172, 252, 7, 87, 167, 247)(2, 82, 162, 242, 9, 89, 169, 249, 6, 86, 166, 246, 22, 102, 182, 262, 11, 91, 171, 251)(3, 83, 163, 243, 5, 85, 165, 245, 19, 99, 179, 259, 16, 96, 176, 256, 15, 95, 175, 255)(8, 88, 168, 248, 23, 103, 183, 263, 10, 90, 170, 250, 27, 107, 187, 267, 21, 101, 181, 261)(13, 93, 173, 253, 14, 94, 174, 254, 32, 112, 192, 272, 18, 98, 178, 258, 20, 100, 180, 260)(24, 104, 184, 264, 28, 108, 188, 268, 25, 105, 185, 265, 35, 115, 195, 275, 26, 106, 186, 266)(29, 109, 189, 269, 30, 110, 190, 270, 34, 114, 194, 274, 31, 111, 191, 271, 33, 113, 193, 273)(36, 116, 196, 276, 39, 119, 199, 279, 37, 117, 197, 277, 40, 120, 200, 280, 38, 118, 198, 278)(41, 121, 201, 281, 42, 122, 202, 282, 45, 125, 205, 285, 43, 123, 203, 283, 44, 124, 204, 284)(46, 126, 206, 286, 49, 129, 209, 289, 47, 127, 207, 287, 50, 130, 210, 290, 48, 128, 208, 288)(51, 131, 211, 291, 52, 132, 212, 292, 55, 135, 215, 295, 53, 133, 213, 293, 54, 134, 214, 294)(56, 136, 216, 296, 59, 139, 219, 299, 57, 137, 217, 297, 60, 140, 220, 300, 58, 138, 218, 298)(61, 141, 221, 301, 62, 142, 222, 302, 65, 145, 225, 305, 63, 143, 223, 303, 64, 144, 224, 304)(66, 146, 226, 306, 69, 149, 229, 309, 67, 147, 227, 307, 70, 150, 230, 310, 68, 148, 228, 308)(71, 151, 231, 311, 72, 152, 232, 312, 75, 155, 235, 315, 73, 153, 233, 313, 74, 154, 234, 314)(76, 156, 236, 316, 79, 159, 239, 319, 77, 157, 237, 317, 80, 160, 240, 320, 78, 158, 238, 318)
	L = (1, 82)(2, 88)(3, 92)(4, 86)(5, 81)(6, 101)(7, 102)(8, 104)(9, 90)(10, 106)(11, 107)(12, 89)(13, 96)(14, 83)(15, 84)(16, 87)(17, 91)(18, 95)(19, 97)(20, 85)(21, 115)(22, 103)(23, 105)(24, 116)(25, 118)(26, 120)(27, 108)(28, 117)(29, 98)(30, 93)(31, 100)(32, 99)(33, 94)(34, 112)(35, 119)(36, 126)(37, 128)(38, 130)(39, 127)(40, 129)(41, 111)(42, 109)(43, 113)(44, 110)(45, 114)(46, 136)(47, 138)(48, 140)(49, 137)(50, 139)(51, 123)(52, 121)(53, 124)(54, 122)(55, 125)(56, 146)(57, 148)(58, 150)(59, 147)(60, 149)(61, 133)(62, 131)(63, 134)(64, 132)(65, 135)(66, 156)(67, 158)(68, 160)(69, 157)(70, 159)(71, 143)(72, 141)(73, 144)(74, 142)(75, 145)(76, 153)(77, 155)(78, 152)(79, 151)(80, 154)(161, 243)(162, 247)(163, 253)(164, 256)(165, 258)(166, 241)(167, 259)(168, 251)(169, 257)(170, 242)(171, 244)(172, 255)(173, 269)(174, 271)(175, 272)(176, 260)(177, 245)(178, 273)(179, 254)(180, 274)(181, 249)(182, 252)(183, 246)(184, 261)(185, 248)(186, 263)(187, 262)(188, 250)(189, 281)(190, 283)(191, 284)(192, 270)(193, 285)(194, 282)(195, 267)(196, 266)(197, 264)(198, 268)(199, 265)(200, 275)(201, 291)(202, 293)(203, 294)(204, 295)(205, 292)(206, 278)(207, 276)(208, 279)(209, 277)(210, 280)(211, 301)(212, 303)(213, 304)(214, 305)(215, 302)(216, 288)(217, 286)(218, 289)(219, 287)(220, 290)(221, 311)(222, 313)(223, 314)(224, 315)(225, 312)(226, 298)(227, 296)(228, 299)(229, 297)(230, 300)(231, 316)(232, 320)(233, 318)(234, 317)(235, 319)(236, 308)(237, 306)(238, 309)(239, 307)(240, 310)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.2032
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 160 f = 90
	degree seq :: [ 20^16 ]

E28.2036 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 20, 40})
Quotient :: edge
Aut^+ = C5 x Q16 (small group id <80, 27>)
Aut   = (C8 x D10) : C2 (small group id <160, 140>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T1^-1 * T2^-1 * T1^2 * T2 * T1^-1, T2^2 * T1 * T2^-2 * T1^-1, T2^-1 * T1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2 * T1^-1, T2^6 * T1 * T2^2 * T1 * T2^2, (T2^-1 * T1^-1)^40 ]
Map:: non-degenerate
	R = (1, 3, 10, 27, 46, 62, 70, 54, 36, 18, 6, 17, 35, 53, 69, 68, 52, 34, 16, 5)(2, 7, 20, 39, 56, 72, 65, 49, 31, 13, 4, 12, 28, 48, 63, 76, 60, 44, 24, 8)(9, 25, 45, 61, 77, 67, 51, 33, 15, 30, 11, 29, 47, 64, 78, 66, 50, 32, 14, 26)(19, 37, 55, 71, 79, 75, 59, 43, 23, 41, 21, 40, 57, 73, 80, 74, 58, 42, 22, 38)(81, 82, 86, 84)(83, 89, 97, 91)(85, 94, 98, 95)(87, 99, 92, 101)(88, 102, 93, 103)(90, 100, 115, 108)(96, 104, 116, 111)(105, 120, 109, 117)(106, 121, 110, 118)(107, 125, 133, 127)(112, 123, 113, 122)(114, 130, 134, 131)(119, 135, 128, 137)(124, 138, 129, 139)(126, 136, 149, 143)(132, 140, 150, 145)(141, 153, 144, 151)(142, 157, 148, 158)(146, 155, 147, 154)(152, 159, 156, 160)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 80^4 ), ( 80^20 ) }
Outer automorphisms :: reflexible
Dual of E28.2040
Transitivity :: ET+
Graph:: bipartite
	v = 24 e = 80 f = 2
	degree seq :: [ 4^20, 20^4 ]

E28.2037 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 20, 40})
Quotient :: edge
Aut^+ = C5 x Q16 (small group id <80, 27>)
Aut   = (C8 x D10) : C2 (small group id <160, 140>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-1 * T1^-2 * T2 * T1^2, T1^-1 * T2 * T1^-1 * T2^-3, T2^-1 * T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-2, (T2^-1 * T1^-1)^4, T1^-1 * T2 * T1^-3 * T2 * T1^-4, T2^2 * T1^-1 * T2^2 * T1^5, T1^9 * T2^-1 * T1^-1 * T2^-1, T2 * T1 * T2^-5 * T1^2 * T2^-2 * T1 ]
Map:: non-degenerate
	R = (1, 3, 10, 30, 59, 80, 56, 72, 55, 25, 51, 36, 13, 33, 62, 71, 42, 70, 50, 21, 49, 37, 52, 77, 66, 73, 48, 20, 6, 19, 46, 23, 53, 78, 65, 79, 54, 24, 17, 5)(2, 7, 22, 11, 32, 63, 76, 67, 39, 15, 38, 14, 4, 12, 34, 64, 69, 68, 41, 45, 40, 16, 29, 58, 35, 60, 74, 44, 18, 43, 28, 9, 27, 57, 31, 61, 75, 47, 26, 8)(81, 82, 86, 98, 122, 149, 139, 112, 133, 107, 129, 120, 135, 119, 134, 155, 146, 115, 93, 84)(83, 89, 99, 125, 150, 147, 160, 141, 158, 138, 117, 94, 105, 88, 104, 124, 153, 144, 113, 91)(85, 95, 100, 127, 151, 140, 110, 92, 103, 87, 101, 123, 152, 148, 159, 143, 157, 137, 116, 96)(90, 109, 126, 118, 130, 106, 136, 154, 145, 114, 132, 102, 131, 108, 97, 121, 128, 156, 142, 111)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8^20 ), ( 8^40 ) }
Outer automorphisms :: reflexible
Dual of E28.2041
Transitivity :: ET+
Graph:: bipartite
	v = 6 e = 80 f = 20
	degree seq :: [ 20^4, 40^2 ]

E28.2038 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 20, 40})
Quotient :: edge
Aut^+ = C5 x Q16 (small group id <80, 27>)
Aut   = (C8 x D10) : C2 (small group id <160, 140>)
|r| :: 2
Presentation :: [ F^2, T2^4, (F * T1)^2, (F * T2)^2, T2^-1 * T1 * T2^2 * T1^-1 * T2^-1, T2 * T1^2 * T2 * T1^-2, T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1, T1^-3 * T2^-1 * T1^-3 * T2^-1 * T1^-4 ]
Map:: non-degenerate
	R = (1, 3, 10, 5)(2, 7, 21, 8)(4, 12, 27, 14)(6, 18, 39, 19)(9, 25, 15, 26)(11, 28, 16, 30)(13, 32, 45, 29)(17, 36, 57, 37)(20, 41, 23, 42)(22, 43, 24, 44)(31, 46, 34, 48)(33, 51, 61, 49)(35, 54, 73, 55)(38, 59, 40, 60)(47, 63, 50, 62)(52, 64, 77, 66)(53, 70, 79, 71)(56, 75, 58, 76)(65, 69, 67, 78)(68, 72, 80, 74)(81, 82, 86, 97, 115, 133, 149, 143, 128, 110, 124, 105, 121, 139, 155, 160, 157, 141, 125, 107, 90, 101, 119, 137, 153, 159, 158, 142, 126, 108, 123, 106, 122, 140, 156, 148, 132, 113, 93, 84)(83, 89, 99, 120, 134, 152, 145, 129, 111, 92, 104, 88, 103, 116, 136, 151, 146, 130, 112, 96, 85, 95, 98, 118, 135, 154, 147, 131, 114, 94, 102, 87, 100, 117, 138, 150, 144, 127, 109, 91)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 40^4 ), ( 40^40 ) }
Outer automorphisms :: reflexible
Dual of E28.2039
Transitivity :: ET+
Graph:: bipartite
	v = 22 e = 80 f = 4
	degree seq :: [ 4^20, 40^2 ]

E28.2039 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 20, 40})
Quotient :: loop
Aut^+ = C5 x Q16 (small group id <80, 27>)
Aut   = (C8 x D10) : C2 (small group id <160, 140>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T1^-1 * T2^-1 * T1^2 * T2 * T1^-1, T2^2 * T1 * T2^-2 * T1^-1, T2^-1 * T1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2 * T1^-1, T2^6 * T1 * T2^2 * T1 * T2^2, (T2^-1 * T1^-1)^40 ]
Map:: non-degenerate
	R = (1, 81, 3, 83, 10, 90, 27, 107, 46, 126, 62, 142, 70, 150, 54, 134, 36, 116, 18, 98, 6, 86, 17, 97, 35, 115, 53, 133, 69, 149, 68, 148, 52, 132, 34, 114, 16, 96, 5, 85)(2, 82, 7, 87, 20, 100, 39, 119, 56, 136, 72, 152, 65, 145, 49, 129, 31, 111, 13, 93, 4, 84, 12, 92, 28, 108, 48, 128, 63, 143, 76, 156, 60, 140, 44, 124, 24, 104, 8, 88)(9, 89, 25, 105, 45, 125, 61, 141, 77, 157, 67, 147, 51, 131, 33, 113, 15, 95, 30, 110, 11, 91, 29, 109, 47, 127, 64, 144, 78, 158, 66, 146, 50, 130, 32, 112, 14, 94, 26, 106)(19, 99, 37, 117, 55, 135, 71, 151, 79, 159, 75, 155, 59, 139, 43, 123, 23, 103, 41, 121, 21, 101, 40, 120, 57, 137, 73, 153, 80, 160, 74, 154, 58, 138, 42, 122, 22, 102, 38, 118)
	L = (1, 82)(2, 86)(3, 89)(4, 81)(5, 94)(6, 84)(7, 99)(8, 102)(9, 97)(10, 100)(11, 83)(12, 101)(13, 103)(14, 98)(15, 85)(16, 104)(17, 91)(18, 95)(19, 92)(20, 115)(21, 87)(22, 93)(23, 88)(24, 116)(25, 120)(26, 121)(27, 125)(28, 90)(29, 117)(30, 118)(31, 96)(32, 123)(33, 122)(34, 130)(35, 108)(36, 111)(37, 105)(38, 106)(39, 135)(40, 109)(41, 110)(42, 112)(43, 113)(44, 138)(45, 133)(46, 136)(47, 107)(48, 137)(49, 139)(50, 134)(51, 114)(52, 140)(53, 127)(54, 131)(55, 128)(56, 149)(57, 119)(58, 129)(59, 124)(60, 150)(61, 153)(62, 157)(63, 126)(64, 151)(65, 132)(66, 155)(67, 154)(68, 158)(69, 143)(70, 145)(71, 141)(72, 159)(73, 144)(74, 146)(75, 147)(76, 160)(77, 148)(78, 142)(79, 156)(80, 152)
	local type(s) :: { ( 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40 ) }
Outer automorphisms :: reflexible
Dual of E28.2038
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 80 f = 22
	degree seq :: [ 40^4 ]

E28.2040 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 20, 40})
Quotient :: loop
Aut^+ = C5 x Q16 (small group id <80, 27>)
Aut   = (C8 x D10) : C2 (small group id <160, 140>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-1 * T1^-2 * T2 * T1^2, T1^-1 * T2 * T1^-1 * T2^-3, T2^-1 * T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-2, (T2^-1 * T1^-1)^4, T1^-1 * T2 * T1^-3 * T2 * T1^-4, T2^2 * T1^-1 * T2^2 * T1^5, T1^9 * T2^-1 * T1^-1 * T2^-1, T2 * T1 * T2^-5 * T1^2 * T2^-2 * T1 ]
Map:: non-degenerate
	R = (1, 81, 3, 83, 10, 90, 30, 110, 59, 139, 80, 160, 56, 136, 72, 152, 55, 135, 25, 105, 51, 131, 36, 116, 13, 93, 33, 113, 62, 142, 71, 151, 42, 122, 70, 150, 50, 130, 21, 101, 49, 129, 37, 117, 52, 132, 77, 157, 66, 146, 73, 153, 48, 128, 20, 100, 6, 86, 19, 99, 46, 126, 23, 103, 53, 133, 78, 158, 65, 145, 79, 159, 54, 134, 24, 104, 17, 97, 5, 85)(2, 82, 7, 87, 22, 102, 11, 91, 32, 112, 63, 143, 76, 156, 67, 147, 39, 119, 15, 95, 38, 118, 14, 94, 4, 84, 12, 92, 34, 114, 64, 144, 69, 149, 68, 148, 41, 121, 45, 125, 40, 120, 16, 96, 29, 109, 58, 138, 35, 115, 60, 140, 74, 154, 44, 124, 18, 98, 43, 123, 28, 108, 9, 89, 27, 107, 57, 137, 31, 111, 61, 141, 75, 155, 47, 127, 26, 106, 8, 88)
	L = (1, 82)(2, 86)(3, 89)(4, 81)(5, 95)(6, 98)(7, 101)(8, 104)(9, 99)(10, 109)(11, 83)(12, 103)(13, 84)(14, 105)(15, 100)(16, 85)(17, 121)(18, 122)(19, 125)(20, 127)(21, 123)(22, 131)(23, 87)(24, 124)(25, 88)(26, 136)(27, 129)(28, 97)(29, 126)(30, 92)(31, 90)(32, 133)(33, 91)(34, 132)(35, 93)(36, 96)(37, 94)(38, 130)(39, 134)(40, 135)(41, 128)(42, 149)(43, 152)(44, 153)(45, 150)(46, 118)(47, 151)(48, 156)(49, 120)(50, 106)(51, 108)(52, 102)(53, 107)(54, 155)(55, 119)(56, 154)(57, 116)(58, 117)(59, 112)(60, 110)(61, 158)(62, 111)(63, 157)(64, 113)(65, 114)(66, 115)(67, 160)(68, 159)(69, 139)(70, 147)(71, 140)(72, 148)(73, 144)(74, 145)(75, 146)(76, 142)(77, 137)(78, 138)(79, 143)(80, 141)
	local type(s) :: { ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E28.2036
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 80 f = 24
	degree seq :: [ 80^2 ]

E28.2041 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 20, 40})
Quotient :: loop
Aut^+ = C5 x Q16 (small group id <80, 27>)
Aut   = (C8 x D10) : C2 (small group id <160, 140>)
|r| :: 2
Presentation :: [ F^2, T2^4, (F * T1)^2, (F * T2)^2, T2^-1 * T1 * T2^2 * T1^-1 * T2^-1, T2 * T1^2 * T2 * T1^-2, T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1, T1^-3 * T2^-1 * T1^-3 * T2^-1 * T1^-4 ]
Map:: non-degenerate
	R = (1, 81, 3, 83, 10, 90, 5, 85)(2, 82, 7, 87, 21, 101, 8, 88)(4, 84, 12, 92, 27, 107, 14, 94)(6, 86, 18, 98, 39, 119, 19, 99)(9, 89, 25, 105, 15, 95, 26, 106)(11, 91, 28, 108, 16, 96, 30, 110)(13, 93, 32, 112, 45, 125, 29, 109)(17, 97, 36, 116, 57, 137, 37, 117)(20, 100, 41, 121, 23, 103, 42, 122)(22, 102, 43, 123, 24, 104, 44, 124)(31, 111, 46, 126, 34, 114, 48, 128)(33, 113, 51, 131, 61, 141, 49, 129)(35, 115, 54, 134, 73, 153, 55, 135)(38, 118, 59, 139, 40, 120, 60, 140)(47, 127, 63, 143, 50, 130, 62, 142)(52, 132, 64, 144, 77, 157, 66, 146)(53, 133, 70, 150, 79, 159, 71, 151)(56, 136, 75, 155, 58, 138, 76, 156)(65, 145, 69, 149, 67, 147, 78, 158)(68, 148, 72, 152, 80, 160, 74, 154)
	L = (1, 82)(2, 86)(3, 89)(4, 81)(5, 95)(6, 97)(7, 100)(8, 103)(9, 99)(10, 101)(11, 83)(12, 104)(13, 84)(14, 102)(15, 98)(16, 85)(17, 115)(18, 118)(19, 120)(20, 117)(21, 119)(22, 87)(23, 116)(24, 88)(25, 121)(26, 122)(27, 90)(28, 123)(29, 91)(30, 124)(31, 92)(32, 96)(33, 93)(34, 94)(35, 133)(36, 136)(37, 138)(38, 135)(39, 137)(40, 134)(41, 139)(42, 140)(43, 106)(44, 105)(45, 107)(46, 108)(47, 109)(48, 110)(49, 111)(50, 112)(51, 114)(52, 113)(53, 149)(54, 152)(55, 154)(56, 151)(57, 153)(58, 150)(59, 155)(60, 156)(61, 125)(62, 126)(63, 128)(64, 127)(65, 129)(66, 130)(67, 131)(68, 132)(69, 143)(70, 144)(71, 146)(72, 145)(73, 159)(74, 147)(75, 160)(76, 148)(77, 141)(78, 142)(79, 158)(80, 157)
	local type(s) :: { ( 20, 40, 20, 40, 20, 40, 20, 40 ) }
Outer automorphisms :: reflexible
Dual of E28.2037
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 20 e = 80 f = 6
	degree seq :: [ 8^20 ]

E28.2042 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 20, 40})
Quotient :: dipole
Aut^+ = C5 x Q16 (small group id <80, 27>)
Aut   = (C8 x D10) : C2 (small group id <160, 140>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y1 * Y3^-2 * Y1, Y3^4, (R * Y1)^2, (R * Y3)^2, Y1^2 * Y3^-2, Y2^-1 * Y3 * Y2^2 * Y3^-1 * Y2^-1, Y3 * Y2^-1 * Y1^-1 * Y3 * Y2 * Y1^-1, Y2^-2 * Y1 * Y2^2 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y2^-1 * R * Y2^-1)^2, Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y2^6 * Y3^-1 * Y2^2 * Y3^-1 * Y2^2, (Y3 * Y2^-1)^40 ]
Map::
	R = (1, 81, 2, 82, 6, 86, 4, 84)(3, 83, 9, 89, 17, 97, 11, 91)(5, 85, 14, 94, 18, 98, 15, 95)(7, 87, 19, 99, 12, 92, 21, 101)(8, 88, 22, 102, 13, 93, 23, 103)(10, 90, 20, 100, 35, 115, 28, 108)(16, 96, 24, 104, 36, 116, 31, 111)(25, 105, 40, 120, 29, 109, 37, 117)(26, 106, 41, 121, 30, 110, 38, 118)(27, 107, 45, 125, 53, 133, 47, 127)(32, 112, 43, 123, 33, 113, 42, 122)(34, 114, 50, 130, 54, 134, 51, 131)(39, 119, 55, 135, 48, 128, 57, 137)(44, 124, 58, 138, 49, 129, 59, 139)(46, 126, 56, 136, 69, 149, 63, 143)(52, 132, 60, 140, 70, 150, 65, 145)(61, 141, 73, 153, 64, 144, 71, 151)(62, 142, 77, 157, 68, 148, 78, 158)(66, 146, 75, 155, 67, 147, 74, 154)(72, 152, 79, 159, 76, 156, 80, 160)(161, 241, 163, 243, 170, 250, 187, 267, 206, 286, 222, 302, 230, 310, 214, 294, 196, 276, 178, 258, 166, 246, 177, 257, 195, 275, 213, 293, 229, 309, 228, 308, 212, 292, 194, 274, 176, 256, 165, 245)(162, 242, 167, 247, 180, 260, 199, 279, 216, 296, 232, 312, 225, 305, 209, 289, 191, 271, 173, 253, 164, 244, 172, 252, 188, 268, 208, 288, 223, 303, 236, 316, 220, 300, 204, 284, 184, 264, 168, 248)(169, 249, 185, 265, 205, 285, 221, 301, 237, 317, 227, 307, 211, 291, 193, 273, 175, 255, 190, 270, 171, 251, 189, 269, 207, 287, 224, 304, 238, 318, 226, 306, 210, 290, 192, 272, 174, 254, 186, 266)(179, 259, 197, 277, 215, 295, 231, 311, 239, 319, 235, 315, 219, 299, 203, 283, 183, 263, 201, 281, 181, 261, 200, 280, 217, 297, 233, 313, 240, 320, 234, 314, 218, 298, 202, 282, 182, 262, 198, 278)
	L = (1, 164)(2, 161)(3, 171)(4, 166)(5, 175)(6, 162)(7, 181)(8, 183)(9, 163)(10, 188)(11, 177)(12, 179)(13, 182)(14, 165)(15, 178)(16, 191)(17, 169)(18, 174)(19, 167)(20, 170)(21, 172)(22, 168)(23, 173)(24, 176)(25, 197)(26, 198)(27, 207)(28, 195)(29, 200)(30, 201)(31, 196)(32, 202)(33, 203)(34, 211)(35, 180)(36, 184)(37, 189)(38, 190)(39, 217)(40, 185)(41, 186)(42, 193)(43, 192)(44, 219)(45, 187)(46, 223)(47, 213)(48, 215)(49, 218)(50, 194)(51, 214)(52, 225)(53, 205)(54, 210)(55, 199)(56, 206)(57, 208)(58, 204)(59, 209)(60, 212)(61, 231)(62, 238)(63, 229)(64, 233)(65, 230)(66, 234)(67, 235)(68, 237)(69, 216)(70, 220)(71, 224)(72, 240)(73, 221)(74, 227)(75, 226)(76, 239)(77, 222)(78, 228)(79, 232)(80, 236)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 2, 80, 2, 80, 2, 80, 2, 80 ), ( 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80 ) }
Outer automorphisms :: reflexible
Dual of E28.2045
Graph:: bipartite
	v = 24 e = 160 f = 82
	degree seq :: [ 8^20, 40^4 ]

E28.2043 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 20, 40})
Quotient :: dipole
Aut^+ = C5 x Q16 (small group id <80, 27>)
Aut   = (C8 x D10) : C2 (small group id <160, 140>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1 * Y2^2, Y1^-1 * Y2 * Y1^-1 * Y2^-3, Y1 * Y2^-1 * Y1^-2 * Y2 * Y1, Y2^2 * Y1 * Y2 * Y1^2 * Y2 * Y1, (Y3^-1 * Y1^-1)^4, Y1^-3 * Y2^4 * Y1^-3, Y1^-1 * Y2 * Y1^-1 * Y2^3 * Y1^-1 * Y2^2 * Y1^-1 ]
Map::
	R = (1, 81, 2, 82, 6, 86, 18, 98, 42, 122, 69, 149, 59, 139, 32, 112, 53, 133, 27, 107, 49, 129, 40, 120, 55, 135, 39, 119, 54, 134, 75, 155, 66, 146, 35, 115, 13, 93, 4, 84)(3, 83, 9, 89, 19, 99, 45, 125, 70, 150, 67, 147, 80, 160, 61, 141, 78, 158, 58, 138, 37, 117, 14, 94, 25, 105, 8, 88, 24, 104, 44, 124, 73, 153, 64, 144, 33, 113, 11, 91)(5, 85, 15, 95, 20, 100, 47, 127, 71, 151, 60, 140, 30, 110, 12, 92, 23, 103, 7, 87, 21, 101, 43, 123, 72, 152, 68, 148, 79, 159, 63, 143, 77, 157, 57, 137, 36, 116, 16, 96)(10, 90, 29, 109, 46, 126, 38, 118, 50, 130, 26, 106, 56, 136, 74, 154, 65, 145, 34, 114, 52, 132, 22, 102, 51, 131, 28, 108, 17, 97, 41, 121, 48, 128, 76, 156, 62, 142, 31, 111)(161, 241, 163, 243, 170, 250, 190, 270, 219, 299, 240, 320, 216, 296, 232, 312, 215, 295, 185, 265, 211, 291, 196, 276, 173, 253, 193, 273, 222, 302, 231, 311, 202, 282, 230, 310, 210, 290, 181, 261, 209, 289, 197, 277, 212, 292, 237, 317, 226, 306, 233, 313, 208, 288, 180, 260, 166, 246, 179, 259, 206, 286, 183, 263, 213, 293, 238, 318, 225, 305, 239, 319, 214, 294, 184, 264, 177, 257, 165, 245)(162, 242, 167, 247, 182, 262, 171, 251, 192, 272, 223, 303, 236, 316, 227, 307, 199, 279, 175, 255, 198, 278, 174, 254, 164, 244, 172, 252, 194, 274, 224, 304, 229, 309, 228, 308, 201, 281, 205, 285, 200, 280, 176, 256, 189, 269, 218, 298, 195, 275, 220, 300, 234, 314, 204, 284, 178, 258, 203, 283, 188, 268, 169, 249, 187, 267, 217, 297, 191, 271, 221, 301, 235, 315, 207, 287, 186, 266, 168, 248)
	L = (1, 163)(2, 167)(3, 170)(4, 172)(5, 161)(6, 179)(7, 182)(8, 162)(9, 187)(10, 190)(11, 192)(12, 194)(13, 193)(14, 164)(15, 198)(16, 189)(17, 165)(18, 203)(19, 206)(20, 166)(21, 209)(22, 171)(23, 213)(24, 177)(25, 211)(26, 168)(27, 217)(28, 169)(29, 218)(30, 219)(31, 221)(32, 223)(33, 222)(34, 224)(35, 220)(36, 173)(37, 212)(38, 174)(39, 175)(40, 176)(41, 205)(42, 230)(43, 188)(44, 178)(45, 200)(46, 183)(47, 186)(48, 180)(49, 197)(50, 181)(51, 196)(52, 237)(53, 238)(54, 184)(55, 185)(56, 232)(57, 191)(58, 195)(59, 240)(60, 234)(61, 235)(62, 231)(63, 236)(64, 229)(65, 239)(66, 233)(67, 199)(68, 201)(69, 228)(70, 210)(71, 202)(72, 215)(73, 208)(74, 204)(75, 207)(76, 227)(77, 226)(78, 225)(79, 214)(80, 216)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.2044
Graph:: bipartite
	v = 6 e = 160 f = 100
	degree seq :: [ 40^4, 80^2 ]

E28.2044 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 20, 40})
Quotient :: dipole
Aut^+ = C5 x Q16 (small group id <80, 27>)
Aut   = (C8 x D10) : C2 (small group id <160, 140>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^4, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3 * Y2^2 * Y3^-1 * Y2^-1, Y3^-2 * Y2^-1 * Y3^2 * Y2^-1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y2^-1, Y2^-1 * Y3^3 * Y2^-2 * Y3^-3 * Y2^-1, Y3^3 * Y2 * Y3^3 * Y2 * Y3^4, (Y3^-1 * Y1^-1)^40 ]
Map::
	R = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)(161, 241, 162, 242, 166, 246, 164, 244)(163, 243, 169, 249, 177, 257, 171, 251)(165, 245, 174, 254, 178, 258, 175, 255)(167, 247, 179, 259, 172, 252, 181, 261)(168, 248, 182, 262, 173, 253, 183, 263)(170, 250, 187, 267, 195, 275, 180, 260)(176, 256, 191, 271, 196, 276, 184, 264)(185, 265, 197, 277, 189, 269, 200, 280)(186, 266, 201, 281, 190, 270, 198, 278)(188, 268, 207, 287, 213, 293, 205, 285)(192, 272, 202, 282, 193, 273, 203, 283)(194, 274, 211, 291, 214, 294, 210, 290)(199, 279, 216, 296, 206, 286, 215, 295)(204, 284, 219, 299, 209, 289, 218, 298)(208, 288, 217, 297, 229, 309, 222, 302)(212, 292, 220, 300, 230, 310, 225, 305)(221, 301, 232, 312, 223, 303, 231, 311)(224, 304, 236, 316, 239, 319, 238, 318)(226, 306, 235, 315, 227, 307, 234, 314)(228, 308, 233, 313, 240, 320, 237, 317)
	L = (1, 163)(2, 167)(3, 170)(4, 172)(5, 161)(6, 177)(7, 180)(8, 162)(9, 185)(10, 188)(11, 189)(12, 187)(13, 164)(14, 190)(15, 186)(16, 165)(17, 195)(18, 166)(19, 197)(20, 199)(21, 200)(22, 201)(23, 198)(24, 168)(25, 205)(26, 169)(27, 206)(28, 208)(29, 207)(30, 171)(31, 173)(32, 174)(33, 175)(34, 176)(35, 213)(36, 178)(37, 215)(38, 179)(39, 217)(40, 216)(41, 181)(42, 182)(43, 183)(44, 184)(45, 221)(46, 222)(47, 223)(48, 224)(49, 191)(50, 192)(51, 193)(52, 194)(53, 229)(54, 196)(55, 231)(56, 232)(57, 233)(58, 202)(59, 203)(60, 204)(61, 236)(62, 237)(63, 238)(64, 235)(65, 209)(66, 210)(67, 211)(68, 212)(69, 239)(70, 214)(71, 240)(72, 228)(73, 226)(74, 218)(75, 219)(76, 220)(77, 227)(78, 225)(79, 234)(80, 230)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 40, 80 ), ( 40, 80, 40, 80, 40, 80, 40, 80 ) }
Outer automorphisms :: reflexible
Dual of E28.2043
Graph:: simple bipartite
	v = 100 e = 160 f = 6
	degree seq :: [ 2^80, 8^20 ]

E28.2045 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 20, 40})
Quotient :: dipole
Aut^+ = C5 x Q16 (small group id <80, 27>)
Aut   = (C8 x D10) : C2 (small group id <160, 140>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^2 * Y1^-1 * Y3^-1, Y3 * Y1^2 * Y3 * Y1^-2, Y1^-1 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1, (Y3 * Y2^-1)^4, Y1^-3 * Y3^-1 * Y1^-3 * Y3^-1 * Y1^-4 ]
Map::
	R = (1, 81, 2, 82, 6, 86, 17, 97, 35, 115, 53, 133, 69, 149, 63, 143, 48, 128, 30, 110, 44, 124, 25, 105, 41, 121, 59, 139, 75, 155, 80, 160, 77, 157, 61, 141, 45, 125, 27, 107, 10, 90, 21, 101, 39, 119, 57, 137, 73, 153, 79, 159, 78, 158, 62, 142, 46, 126, 28, 108, 43, 123, 26, 106, 42, 122, 60, 140, 76, 156, 68, 148, 52, 132, 33, 113, 13, 93, 4, 84)(3, 83, 9, 89, 19, 99, 40, 120, 54, 134, 72, 152, 65, 145, 49, 129, 31, 111, 12, 92, 24, 104, 8, 88, 23, 103, 36, 116, 56, 136, 71, 151, 66, 146, 50, 130, 32, 112, 16, 96, 5, 85, 15, 95, 18, 98, 38, 118, 55, 135, 74, 154, 67, 147, 51, 131, 34, 114, 14, 94, 22, 102, 7, 87, 20, 100, 37, 117, 58, 138, 70, 150, 64, 144, 47, 127, 29, 109, 11, 91)(161, 241)(162, 242)(163, 243)(164, 244)(165, 245)(166, 246)(167, 247)(168, 248)(169, 249)(170, 250)(171, 251)(172, 252)(173, 253)(174, 254)(175, 255)(176, 256)(177, 257)(178, 258)(179, 259)(180, 260)(181, 261)(182, 262)(183, 263)(184, 264)(185, 265)(186, 266)(187, 267)(188, 268)(189, 269)(190, 270)(191, 271)(192, 272)(193, 273)(194, 274)(195, 275)(196, 276)(197, 277)(198, 278)(199, 279)(200, 280)(201, 281)(202, 282)(203, 283)(204, 284)(205, 285)(206, 286)(207, 287)(208, 288)(209, 289)(210, 290)(211, 291)(212, 292)(213, 293)(214, 294)(215, 295)(216, 296)(217, 297)(218, 298)(219, 299)(220, 300)(221, 301)(222, 302)(223, 303)(224, 304)(225, 305)(226, 306)(227, 307)(228, 308)(229, 309)(230, 310)(231, 311)(232, 312)(233, 313)(234, 314)(235, 315)(236, 316)(237, 317)(238, 318)(239, 319)(240, 320)
	L = (1, 163)(2, 167)(3, 170)(4, 172)(5, 161)(6, 178)(7, 181)(8, 162)(9, 185)(10, 165)(11, 188)(12, 187)(13, 192)(14, 164)(15, 186)(16, 190)(17, 196)(18, 199)(19, 166)(20, 201)(21, 168)(22, 203)(23, 202)(24, 204)(25, 175)(26, 169)(27, 174)(28, 176)(29, 173)(30, 171)(31, 206)(32, 205)(33, 211)(34, 208)(35, 214)(36, 217)(37, 177)(38, 219)(39, 179)(40, 220)(41, 183)(42, 180)(43, 184)(44, 182)(45, 189)(46, 194)(47, 223)(48, 191)(49, 193)(50, 222)(51, 221)(52, 224)(53, 230)(54, 233)(55, 195)(56, 235)(57, 197)(58, 236)(59, 200)(60, 198)(61, 209)(62, 207)(63, 210)(64, 237)(65, 229)(66, 212)(67, 238)(68, 232)(69, 227)(70, 239)(71, 213)(72, 240)(73, 215)(74, 228)(75, 218)(76, 216)(77, 226)(78, 225)(79, 231)(80, 234)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 8, 40 ), ( 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40 ) }
Outer automorphisms :: reflexible
Dual of E28.2042
Graph:: simple bipartite
	v = 82 e = 160 f = 24
	degree seq :: [ 2^80, 80^2 ]

E28.2046 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 20, 40})
Quotient :: dipole
Aut^+ = C5 x Q16 (small group id <80, 27>)
Aut   = (C8 x D10) : C2 (small group id <160, 140>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y1 * Y3^-2 * Y1, (Y3^-1 * Y1)^2, (R * Y3)^2, Y3 * Y1^-2 * Y3, (R * Y1)^2, Y1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3 * Y2, Y2 * Y3^2 * Y2^-1 * Y1^-2, Y3 * Y2^-1 * Y3 * Y1^-1 * Y2 * Y1^-1, Y3 * Y2^-2 * Y1^-1 * Y2^2, Y2^-1 * Y3 * Y2^2 * Y1^-1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2^7 * Y1^-1 * Y2^3 * Y1^-1, Y2^-1 * Y3 * Y2^-2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 ]
Map::
	R = (1, 81, 2, 82, 6, 86, 4, 84)(3, 83, 9, 89, 17, 97, 11, 91)(5, 85, 14, 94, 18, 98, 15, 95)(7, 87, 19, 99, 12, 92, 21, 101)(8, 88, 22, 102, 13, 93, 23, 103)(10, 90, 27, 107, 35, 115, 20, 100)(16, 96, 31, 111, 36, 116, 24, 104)(25, 105, 37, 117, 29, 109, 40, 120)(26, 106, 41, 121, 30, 110, 38, 118)(28, 108, 47, 127, 53, 133, 45, 125)(32, 112, 42, 122, 33, 113, 43, 123)(34, 114, 51, 131, 54, 134, 50, 130)(39, 119, 56, 136, 46, 126, 55, 135)(44, 124, 59, 139, 49, 129, 58, 138)(48, 128, 57, 137, 69, 149, 62, 142)(52, 132, 60, 140, 70, 150, 65, 145)(61, 141, 72, 152, 63, 143, 71, 151)(64, 144, 76, 156, 79, 159, 78, 158)(66, 146, 75, 155, 67, 147, 74, 154)(68, 148, 73, 153, 80, 160, 77, 157)(161, 241, 163, 243, 170, 250, 188, 268, 208, 288, 224, 304, 235, 315, 219, 299, 203, 283, 183, 263, 198, 278, 179, 259, 197, 277, 215, 295, 231, 311, 240, 320, 230, 310, 214, 294, 196, 276, 178, 258, 166, 246, 177, 257, 195, 275, 213, 293, 229, 309, 239, 319, 234, 314, 218, 298, 202, 282, 182, 262, 201, 281, 181, 261, 200, 280, 216, 296, 232, 312, 228, 308, 212, 292, 194, 274, 176, 256, 165, 245)(162, 242, 167, 247, 180, 260, 199, 279, 217, 297, 233, 313, 226, 306, 210, 290, 192, 272, 174, 254, 190, 270, 171, 251, 189, 269, 207, 287, 223, 303, 238, 318, 225, 305, 209, 289, 191, 271, 173, 253, 164, 244, 172, 252, 187, 267, 206, 286, 222, 302, 237, 317, 227, 307, 211, 291, 193, 273, 175, 255, 186, 266, 169, 249, 185, 265, 205, 285, 221, 301, 236, 316, 220, 300, 204, 284, 184, 264, 168, 248)
	L = (1, 164)(2, 161)(3, 171)(4, 166)(5, 175)(6, 162)(7, 181)(8, 183)(9, 163)(10, 180)(11, 177)(12, 179)(13, 182)(14, 165)(15, 178)(16, 184)(17, 169)(18, 174)(19, 167)(20, 195)(21, 172)(22, 168)(23, 173)(24, 196)(25, 200)(26, 198)(27, 170)(28, 205)(29, 197)(30, 201)(31, 176)(32, 203)(33, 202)(34, 210)(35, 187)(36, 191)(37, 185)(38, 190)(39, 215)(40, 189)(41, 186)(42, 192)(43, 193)(44, 218)(45, 213)(46, 216)(47, 188)(48, 222)(49, 219)(50, 214)(51, 194)(52, 225)(53, 207)(54, 211)(55, 206)(56, 199)(57, 208)(58, 209)(59, 204)(60, 212)(61, 231)(62, 229)(63, 232)(64, 238)(65, 230)(66, 234)(67, 235)(68, 237)(69, 217)(70, 220)(71, 223)(72, 221)(73, 228)(74, 227)(75, 226)(76, 224)(77, 240)(78, 239)(79, 236)(80, 233)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 2, 40, 2, 40, 2, 40, 2, 40 ), ( 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40 ) }
Outer automorphisms :: reflexible
Dual of E28.2047
Graph:: bipartite
	v = 22 e = 160 f = 84
	degree seq :: [ 8^20, 80^2 ]

E28.2047 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 20, 40})
Quotient :: dipole
Aut^+ = C5 x Q16 (small group id <80, 27>)
Aut   = (C8 x D10) : C2 (small group id <160, 140>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y3^-1 * Y1 * Y3^2, Y1^-2 * Y3 * Y1^2 * Y3^-1, Y3^-1 * Y1^-3 * Y3^-2 * Y1^-1 * Y3^-1, Y1^-1 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-1 * Y3^-2, (Y3 * Y1)^4, Y1^-1 * Y3 * Y1^-1 * Y3^3 * Y1^-1 * Y3^2 * Y1^-1, Y3^-1 * Y1 * Y3^-2 * Y1^-5 * Y3^-1, (Y3 * Y2^-1)^40 ]
Map::
	R = (1, 81, 2, 82, 6, 86, 18, 98, 42, 122, 69, 149, 59, 139, 32, 112, 53, 133, 27, 107, 49, 129, 40, 120, 55, 135, 39, 119, 54, 134, 75, 155, 66, 146, 35, 115, 13, 93, 4, 84)(3, 83, 9, 89, 19, 99, 45, 125, 70, 150, 67, 147, 80, 160, 61, 141, 78, 158, 58, 138, 37, 117, 14, 94, 25, 105, 8, 88, 24, 104, 44, 124, 73, 153, 64, 144, 33, 113, 11, 91)(5, 85, 15, 95, 20, 100, 47, 127, 71, 151, 60, 140, 30, 110, 12, 92, 23, 103, 7, 87, 21, 101, 43, 123, 72, 152, 68, 148, 79, 159, 63, 143, 77, 157, 57, 137, 36, 116, 16, 96)(10, 90, 29, 109, 46, 126, 38, 118, 50, 130, 26, 106, 56, 136, 74, 154, 65, 145, 34, 114, 52, 132, 22, 102, 51, 131, 28, 108, 17, 97, 41, 121, 48, 128, 76, 156, 62, 142, 31, 111)(161, 241)(162, 242)(163, 243)(164, 244)(165, 245)(166, 246)(167, 247)(168, 248)(169, 249)(170, 250)(171, 251)(172, 252)(173, 253)(174, 254)(175, 255)(176, 256)(177, 257)(178, 258)(179, 259)(180, 260)(181, 261)(182, 262)(183, 263)(184, 264)(185, 265)(186, 266)(187, 267)(188, 268)(189, 269)(190, 270)(191, 271)(192, 272)(193, 273)(194, 274)(195, 275)(196, 276)(197, 277)(198, 278)(199, 279)(200, 280)(201, 281)(202, 282)(203, 283)(204, 284)(205, 285)(206, 286)(207, 287)(208, 288)(209, 289)(210, 290)(211, 291)(212, 292)(213, 293)(214, 294)(215, 295)(216, 296)(217, 297)(218, 298)(219, 299)(220, 300)(221, 301)(222, 302)(223, 303)(224, 304)(225, 305)(226, 306)(227, 307)(228, 308)(229, 309)(230, 310)(231, 311)(232, 312)(233, 313)(234, 314)(235, 315)(236, 316)(237, 317)(238, 318)(239, 319)(240, 320)
	L = (1, 163)(2, 167)(3, 170)(4, 172)(5, 161)(6, 179)(7, 182)(8, 162)(9, 187)(10, 190)(11, 192)(12, 194)(13, 193)(14, 164)(15, 198)(16, 189)(17, 165)(18, 203)(19, 206)(20, 166)(21, 209)(22, 171)(23, 213)(24, 177)(25, 211)(26, 168)(27, 217)(28, 169)(29, 218)(30, 219)(31, 221)(32, 223)(33, 222)(34, 224)(35, 220)(36, 173)(37, 212)(38, 174)(39, 175)(40, 176)(41, 205)(42, 230)(43, 188)(44, 178)(45, 200)(46, 183)(47, 186)(48, 180)(49, 197)(50, 181)(51, 196)(52, 237)(53, 238)(54, 184)(55, 185)(56, 232)(57, 191)(58, 195)(59, 240)(60, 234)(61, 235)(62, 231)(63, 236)(64, 229)(65, 239)(66, 233)(67, 199)(68, 201)(69, 228)(70, 210)(71, 202)(72, 215)(73, 208)(74, 204)(75, 207)(76, 227)(77, 226)(78, 225)(79, 214)(80, 216)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 8, 80 ), ( 8, 80, 8, 80, 8, 80, 8, 80, 8, 80, 8, 80, 8, 80, 8, 80, 8, 80, 8, 80, 8, 80, 8, 80, 8, 80, 8, 80, 8, 80, 8, 80, 8, 80, 8, 80, 8, 80, 8, 80 ) }
Outer automorphisms :: reflexible
Dual of E28.2046
Graph:: simple bipartite
	v = 84 e = 160 f = 22
	degree seq :: [ 2^80, 40^4 ]

E28.2048 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 3, 3})
Quotient :: edge^2
Aut^+ = (C3 x C3 x C3) : C3 (small group id <81, 7>)
Aut   = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 10>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1, Y2^3, Y1^3, Y3^3, (R * Y3)^2, R * Y2 * R * Y1, Y2 * Y3 * Y1 * Y3^-1 * Y2^-1 * Y3 * Y1^-1 * Y3^-1, Y1 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3^-1, Y1 * Y3 * Y2 * Y3^-1 * Y1^-1 * Y3 * Y2^-1 * Y3^-1, Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 82, 4, 85, 5, 86)(2, 83, 6, 87, 7, 88)(3, 84, 8, 89, 9, 90)(10, 91, 22, 103, 23, 104)(11, 92, 24, 105, 25, 106)(12, 93, 26, 107, 27, 108)(13, 94, 28, 109, 29, 110)(14, 95, 30, 111, 31, 112)(15, 96, 32, 113, 33, 114)(16, 97, 34, 115, 35, 116)(17, 98, 36, 117, 37, 118)(18, 99, 38, 119, 39, 120)(19, 100, 40, 121, 41, 122)(20, 101, 42, 123, 43, 124)(21, 102, 44, 125, 45, 126)(46, 127, 70, 151, 50, 131)(47, 128, 71, 152, 52, 133)(48, 129, 72, 153, 51, 132)(49, 130, 73, 154, 53, 134)(54, 135, 74, 155, 58, 139)(55, 136, 75, 156, 60, 141)(56, 137, 76, 157, 59, 140)(57, 138, 77, 158, 61, 142)(62, 143, 78, 159, 66, 147)(63, 144, 79, 160, 68, 149)(64, 145, 80, 161, 67, 148)(65, 146, 81, 162, 69, 150)(163, 164, 165)(166, 172, 173)(167, 174, 175)(168, 176, 177)(169, 178, 179)(170, 180, 181)(171, 182, 183)(184, 208, 209)(185, 193, 201)(186, 210, 211)(187, 195, 203)(188, 196, 204)(189, 212, 213)(190, 198, 206)(191, 214, 215)(192, 216, 217)(194, 218, 219)(197, 220, 221)(199, 222, 223)(200, 224, 225)(202, 226, 227)(205, 228, 229)(207, 230, 231)(232, 236, 240)(233, 237, 241)(234, 238, 242)(235, 239, 243)(244, 246, 245)(247, 254, 253)(248, 256, 255)(249, 258, 257)(250, 260, 259)(251, 262, 261)(252, 264, 263)(265, 290, 289)(266, 282, 274)(267, 292, 291)(268, 284, 276)(269, 285, 277)(270, 294, 293)(271, 287, 279)(272, 296, 295)(273, 298, 297)(275, 300, 299)(278, 302, 301)(280, 304, 303)(281, 306, 305)(283, 308, 307)(286, 310, 309)(288, 312, 311)(313, 321, 317)(314, 322, 318)(315, 323, 319)(316, 324, 320)
	L = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 12^3 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2052
Graph:: simple bipartite
	v = 81 e = 162 f = 27
	degree seq :: [ 3^54, 6^27 ]

E28.2049 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 3, 3})
Quotient :: edge^2
Aut^+ = (C3 x C3 x C3) : C3 (small group id <81, 7>)
Aut   = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 11>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, Y1^2 * Y2^-1, Y2^3, Y3^3, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 82, 4, 85, 5, 86)(2, 83, 6, 87, 7, 88)(3, 84, 8, 89, 9, 90)(10, 91, 22, 103, 23, 104)(11, 92, 24, 105, 25, 106)(12, 93, 26, 107, 27, 108)(13, 94, 28, 109, 29, 110)(14, 95, 30, 111, 31, 112)(15, 96, 32, 113, 33, 114)(16, 97, 34, 115, 35, 116)(17, 98, 36, 117, 37, 118)(18, 99, 38, 119, 39, 120)(19, 100, 40, 121, 41, 122)(20, 101, 42, 123, 43, 124)(21, 102, 44, 125, 45, 126)(46, 127, 58, 139, 59, 140)(47, 128, 60, 141, 61, 142)(48, 129, 62, 143, 63, 144)(49, 130, 64, 145, 65, 146)(50, 131, 66, 147, 67, 148)(51, 132, 68, 149, 69, 150)(52, 133, 70, 151, 71, 152)(53, 134, 72, 153, 73, 154)(54, 135, 74, 155, 75, 156)(55, 136, 76, 157, 77, 158)(56, 137, 78, 159, 79, 160)(57, 138, 80, 161, 81, 162)(163, 164, 165)(166, 172, 173)(167, 174, 175)(168, 176, 177)(169, 178, 179)(170, 180, 181)(171, 182, 183)(184, 208, 194)(185, 209, 198)(186, 200, 210)(187, 204, 211)(188, 212, 195)(189, 213, 199)(190, 201, 214)(191, 205, 215)(192, 216, 202)(193, 217, 206)(196, 218, 203)(197, 219, 207)(220, 236, 224)(221, 238, 226)(222, 240, 225)(223, 242, 227)(228, 237, 232)(229, 239, 234)(230, 241, 233)(231, 243, 235)(244, 246, 245)(247, 254, 253)(248, 256, 255)(249, 258, 257)(250, 260, 259)(251, 262, 261)(252, 264, 263)(265, 275, 289)(266, 279, 290)(267, 291, 281)(268, 292, 285)(269, 276, 293)(270, 280, 294)(271, 295, 282)(272, 296, 286)(273, 283, 297)(274, 287, 298)(277, 284, 299)(278, 288, 300)(301, 305, 317)(302, 307, 319)(303, 306, 321)(304, 308, 323)(309, 313, 318)(310, 315, 320)(311, 314, 322)(312, 316, 324)
	L = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 12^3 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2053
Graph:: simple bipartite
	v = 81 e = 162 f = 27
	degree seq :: [ 3^54, 6^27 ]

E28.2050 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 3, 3})
Quotient :: edge^2
Aut^+ = (C3 x C3 x C3) : C3 (small group id <81, 7>)
Aut   = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 11>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3^3, Y1^3, (Y1^-1, Y2^-1), R * Y1 * R * Y2, (R * Y3)^2, Y3^-1 * Y2^-1 * Y1^-1 * Y3 * Y1 * Y2, Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1, Y3^-1 * Y1^-1 * Y3^-1 * Y2 * Y3^-1 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 82, 4, 85, 7, 88)(2, 83, 9, 90, 11, 92)(3, 84, 12, 93, 14, 95)(5, 86, 19, 100, 21, 102)(6, 87, 22, 103, 23, 104)(8, 89, 28, 109, 29, 110)(10, 91, 34, 115, 35, 116)(13, 94, 44, 125, 45, 126)(15, 96, 48, 129, 51, 132)(16, 97, 39, 120, 53, 134)(17, 98, 54, 135, 56, 137)(18, 99, 57, 138, 58, 139)(20, 101, 55, 136, 61, 142)(24, 105, 66, 147, 41, 122)(25, 106, 68, 149, 30, 111)(26, 107, 70, 151, 33, 114)(27, 108, 71, 152, 42, 123)(31, 112, 62, 143, 72, 153)(32, 113, 46, 127, 73, 154)(36, 117, 74, 155, 50, 131)(37, 118, 75, 156, 43, 124)(38, 119, 76, 157, 60, 141)(40, 121, 65, 146, 77, 158)(47, 128, 78, 159, 52, 133)(49, 130, 79, 160, 63, 144)(59, 140, 69, 150, 81, 162)(64, 145, 67, 148, 80, 161)(163, 164, 167)(165, 170, 175)(166, 177, 179)(168, 172, 182)(169, 186, 188)(171, 192, 194)(173, 198, 200)(174, 202, 204)(176, 208, 210)(178, 190, 214)(180, 212, 217)(181, 205, 221)(183, 211, 219)(184, 195, 225)(185, 201, 227)(187, 191, 231)(189, 229, 223)(193, 206, 226)(196, 222, 203)(197, 224, 209)(199, 207, 216)(213, 242, 238)(215, 235, 228)(218, 241, 233)(220, 230, 239)(232, 237, 240)(234, 243, 236)(244, 246, 249)(245, 251, 253)(247, 259, 261)(248, 256, 263)(250, 268, 270)(252, 274, 276)(254, 280, 282)(255, 284, 286)(257, 290, 292)(258, 271, 293)(260, 295, 298)(262, 285, 303)(264, 291, 305)(265, 275, 307)(266, 281, 297)(267, 272, 310)(269, 312, 304)(273, 287, 306)(277, 302, 283)(278, 300, 289)(279, 288, 308)(294, 318, 311)(296, 324, 322)(299, 309, 315)(301, 319, 313)(314, 316, 317)(320, 323, 321)
	L = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 12^3 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2055
Graph:: simple bipartite
	v = 81 e = 162 f = 27
	degree seq :: [ 3^54, 6^27 ]

E28.2051 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 3, 3})
Quotient :: edge^2
Aut^+ = (C3 x C3 x C3) : C3 (small group id <81, 7>)
Aut   = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 11>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3^3, Y1^3, (Y2^-1, Y1^-1), R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y1^-1, Y3 * Y2^-1 * Y3 * Y1 * Y3 * Y2^-1, Y2^-1 * Y1 * Y3^-1 * Y1 * Y2 * Y3 * Y1, Y1 * Y2 * Y3^-1 * Y2 * Y1^-1 * Y2 * Y3, Y1^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 82, 4, 85, 7, 88)(2, 83, 9, 90, 11, 92)(3, 84, 12, 93, 14, 95)(5, 86, 19, 100, 21, 102)(6, 87, 22, 103, 23, 104)(8, 89, 28, 109, 29, 110)(10, 91, 34, 115, 35, 116)(13, 94, 44, 125, 45, 126)(15, 96, 47, 128, 51, 132)(16, 97, 36, 117, 53, 134)(17, 98, 39, 120, 55, 136)(18, 99, 48, 129, 56, 137)(20, 101, 54, 135, 59, 140)(24, 105, 66, 147, 42, 123)(25, 106, 68, 149, 33, 114)(26, 107, 70, 151, 63, 144)(27, 108, 71, 152, 57, 138)(30, 111, 67, 148, 72, 153)(31, 112, 49, 130, 73, 154)(32, 113, 61, 142, 74, 155)(37, 118, 75, 156, 58, 139)(38, 119, 76, 157, 40, 121)(41, 122, 69, 150, 77, 158)(43, 124, 64, 145, 78, 159)(46, 127, 79, 160, 62, 143)(50, 131, 65, 146, 80, 161)(52, 133, 60, 141, 81, 162)(163, 164, 167)(165, 170, 175)(166, 177, 179)(168, 172, 182)(169, 186, 188)(171, 192, 194)(173, 198, 200)(174, 202, 204)(176, 208, 210)(178, 190, 214)(180, 212, 216)(181, 205, 219)(183, 211, 222)(184, 195, 224)(185, 201, 226)(187, 191, 231)(189, 229, 221)(193, 206, 225)(196, 220, 203)(197, 223, 209)(199, 207, 227)(213, 230, 238)(215, 241, 233)(217, 235, 239)(218, 232, 240)(228, 242, 236)(234, 237, 243)(244, 246, 249)(245, 251, 253)(247, 259, 261)(248, 256, 263)(250, 268, 270)(252, 274, 276)(254, 280, 282)(255, 284, 286)(257, 290, 292)(258, 271, 293)(260, 295, 297)(262, 285, 301)(264, 291, 304)(265, 275, 306)(266, 281, 308)(267, 272, 310)(269, 312, 302)(273, 287, 305)(277, 300, 283)(278, 303, 289)(279, 288, 307)(294, 318, 313)(296, 309, 316)(298, 314, 317)(299, 319, 315)(311, 324, 321)(320, 322, 323)
	L = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 12^3 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2054
Graph:: simple bipartite
	v = 81 e = 162 f = 27
	degree seq :: [ 3^54, 6^27 ]

E28.2052 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 3, 3})
Quotient :: loop^2
Aut^+ = (C3 x C3 x C3) : C3 (small group id <81, 7>)
Aut   = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 10>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1, Y2^3, Y1^3, Y3^3, (R * Y3)^2, R * Y2 * R * Y1, Y2 * Y3 * Y1 * Y3^-1 * Y2^-1 * Y3 * Y1^-1 * Y3^-1, Y1 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3^-1, Y1 * Y3 * Y2 * Y3^-1 * Y1^-1 * Y3 * Y2^-1 * Y3^-1, Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 82, 163, 244, 4, 85, 166, 247, 5, 86, 167, 248)(2, 83, 164, 245, 6, 87, 168, 249, 7, 88, 169, 250)(3, 84, 165, 246, 8, 89, 170, 251, 9, 90, 171, 252)(10, 91, 172, 253, 22, 103, 184, 265, 23, 104, 185, 266)(11, 92, 173, 254, 24, 105, 186, 267, 25, 106, 187, 268)(12, 93, 174, 255, 26, 107, 188, 269, 27, 108, 189, 270)(13, 94, 175, 256, 28, 109, 190, 271, 29, 110, 191, 272)(14, 95, 176, 257, 30, 111, 192, 273, 31, 112, 193, 274)(15, 96, 177, 258, 32, 113, 194, 275, 33, 114, 195, 276)(16, 97, 178, 259, 34, 115, 196, 277, 35, 116, 197, 278)(17, 98, 179, 260, 36, 117, 198, 279, 37, 118, 199, 280)(18, 99, 180, 261, 38, 119, 200, 281, 39, 120, 201, 282)(19, 100, 181, 262, 40, 121, 202, 283, 41, 122, 203, 284)(20, 101, 182, 263, 42, 123, 204, 285, 43, 124, 205, 286)(21, 102, 183, 264, 44, 125, 206, 287, 45, 126, 207, 288)(46, 127, 208, 289, 70, 151, 232, 313, 50, 131, 212, 293)(47, 128, 209, 290, 71, 152, 233, 314, 52, 133, 214, 295)(48, 129, 210, 291, 72, 153, 234, 315, 51, 132, 213, 294)(49, 130, 211, 292, 73, 154, 235, 316, 53, 134, 215, 296)(54, 135, 216, 297, 74, 155, 236, 317, 58, 139, 220, 301)(55, 136, 217, 298, 75, 156, 237, 318, 60, 141, 222, 303)(56, 137, 218, 299, 76, 157, 238, 319, 59, 140, 221, 302)(57, 138, 219, 300, 77, 158, 239, 320, 61, 142, 223, 304)(62, 143, 224, 305, 78, 159, 240, 321, 66, 147, 228, 309)(63, 144, 225, 306, 79, 160, 241, 322, 68, 149, 230, 311)(64, 145, 226, 307, 80, 161, 242, 323, 67, 148, 229, 310)(65, 146, 227, 308, 81, 162, 243, 324, 69, 150, 231, 312)
	L = (1, 83)(2, 84)(3, 82)(4, 91)(5, 93)(6, 95)(7, 97)(8, 99)(9, 101)(10, 92)(11, 85)(12, 94)(13, 86)(14, 96)(15, 87)(16, 98)(17, 88)(18, 100)(19, 89)(20, 102)(21, 90)(22, 127)(23, 112)(24, 129)(25, 114)(26, 115)(27, 131)(28, 117)(29, 133)(30, 135)(31, 120)(32, 137)(33, 122)(34, 123)(35, 139)(36, 125)(37, 141)(38, 143)(39, 104)(40, 145)(41, 106)(42, 107)(43, 147)(44, 109)(45, 149)(46, 128)(47, 103)(48, 130)(49, 105)(50, 132)(51, 108)(52, 134)(53, 110)(54, 136)(55, 111)(56, 138)(57, 113)(58, 140)(59, 116)(60, 142)(61, 118)(62, 144)(63, 119)(64, 146)(65, 121)(66, 148)(67, 124)(68, 150)(69, 126)(70, 155)(71, 156)(72, 157)(73, 158)(74, 159)(75, 160)(76, 161)(77, 162)(78, 151)(79, 152)(80, 153)(81, 154)(163, 246)(164, 244)(165, 245)(166, 254)(167, 256)(168, 258)(169, 260)(170, 262)(171, 264)(172, 247)(173, 253)(174, 248)(175, 255)(176, 249)(177, 257)(178, 250)(179, 259)(180, 251)(181, 261)(182, 252)(183, 263)(184, 290)(185, 282)(186, 292)(187, 284)(188, 285)(189, 294)(190, 287)(191, 296)(192, 298)(193, 266)(194, 300)(195, 268)(196, 269)(197, 302)(198, 271)(199, 304)(200, 306)(201, 274)(202, 308)(203, 276)(204, 277)(205, 310)(206, 279)(207, 312)(208, 265)(209, 289)(210, 267)(211, 291)(212, 270)(213, 293)(214, 272)(215, 295)(216, 273)(217, 297)(218, 275)(219, 299)(220, 278)(221, 301)(222, 280)(223, 303)(224, 281)(225, 305)(226, 283)(227, 307)(228, 286)(229, 309)(230, 288)(231, 311)(232, 321)(233, 322)(234, 323)(235, 324)(236, 313)(237, 314)(238, 315)(239, 316)(240, 317)(241, 318)(242, 319)(243, 320)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2048
Transitivity :: VT+
Graph::
	v = 27 e = 162 f = 81
	degree seq :: [ 12^27 ]

E28.2053 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 3, 3})
Quotient :: loop^2
Aut^+ = (C3 x C3 x C3) : C3 (small group id <81, 7>)
Aut   = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 11>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, Y1^2 * Y2^-1, Y2^3, Y3^3, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 82, 163, 244, 4, 85, 166, 247, 5, 86, 167, 248)(2, 83, 164, 245, 6, 87, 168, 249, 7, 88, 169, 250)(3, 84, 165, 246, 8, 89, 170, 251, 9, 90, 171, 252)(10, 91, 172, 253, 22, 103, 184, 265, 23, 104, 185, 266)(11, 92, 173, 254, 24, 105, 186, 267, 25, 106, 187, 268)(12, 93, 174, 255, 26, 107, 188, 269, 27, 108, 189, 270)(13, 94, 175, 256, 28, 109, 190, 271, 29, 110, 191, 272)(14, 95, 176, 257, 30, 111, 192, 273, 31, 112, 193, 274)(15, 96, 177, 258, 32, 113, 194, 275, 33, 114, 195, 276)(16, 97, 178, 259, 34, 115, 196, 277, 35, 116, 197, 278)(17, 98, 179, 260, 36, 117, 198, 279, 37, 118, 199, 280)(18, 99, 180, 261, 38, 119, 200, 281, 39, 120, 201, 282)(19, 100, 181, 262, 40, 121, 202, 283, 41, 122, 203, 284)(20, 101, 182, 263, 42, 123, 204, 285, 43, 124, 205, 286)(21, 102, 183, 264, 44, 125, 206, 287, 45, 126, 207, 288)(46, 127, 208, 289, 58, 139, 220, 301, 59, 140, 221, 302)(47, 128, 209, 290, 60, 141, 222, 303, 61, 142, 223, 304)(48, 129, 210, 291, 62, 143, 224, 305, 63, 144, 225, 306)(49, 130, 211, 292, 64, 145, 226, 307, 65, 146, 227, 308)(50, 131, 212, 293, 66, 147, 228, 309, 67, 148, 229, 310)(51, 132, 213, 294, 68, 149, 230, 311, 69, 150, 231, 312)(52, 133, 214, 295, 70, 151, 232, 313, 71, 152, 233, 314)(53, 134, 215, 296, 72, 153, 234, 315, 73, 154, 235, 316)(54, 135, 216, 297, 74, 155, 236, 317, 75, 156, 237, 318)(55, 136, 217, 298, 76, 157, 238, 319, 77, 158, 239, 320)(56, 137, 218, 299, 78, 159, 240, 321, 79, 160, 241, 322)(57, 138, 219, 300, 80, 161, 242, 323, 81, 162, 243, 324)
	L = (1, 83)(2, 84)(3, 82)(4, 91)(5, 93)(6, 95)(7, 97)(8, 99)(9, 101)(10, 92)(11, 85)(12, 94)(13, 86)(14, 96)(15, 87)(16, 98)(17, 88)(18, 100)(19, 89)(20, 102)(21, 90)(22, 127)(23, 128)(24, 119)(25, 123)(26, 131)(27, 132)(28, 120)(29, 124)(30, 135)(31, 136)(32, 103)(33, 107)(34, 137)(35, 138)(36, 104)(37, 108)(38, 129)(39, 133)(40, 111)(41, 115)(42, 130)(43, 134)(44, 112)(45, 116)(46, 113)(47, 117)(48, 105)(49, 106)(50, 114)(51, 118)(52, 109)(53, 110)(54, 121)(55, 125)(56, 122)(57, 126)(58, 155)(59, 157)(60, 159)(61, 161)(62, 139)(63, 141)(64, 140)(65, 142)(66, 156)(67, 158)(68, 160)(69, 162)(70, 147)(71, 149)(72, 148)(73, 150)(74, 143)(75, 151)(76, 145)(77, 153)(78, 144)(79, 152)(80, 146)(81, 154)(163, 246)(164, 244)(165, 245)(166, 254)(167, 256)(168, 258)(169, 260)(170, 262)(171, 264)(172, 247)(173, 253)(174, 248)(175, 255)(176, 249)(177, 257)(178, 250)(179, 259)(180, 251)(181, 261)(182, 252)(183, 263)(184, 275)(185, 279)(186, 291)(187, 292)(188, 276)(189, 280)(190, 295)(191, 296)(192, 283)(193, 287)(194, 289)(195, 293)(196, 284)(197, 288)(198, 290)(199, 294)(200, 267)(201, 271)(202, 297)(203, 299)(204, 268)(205, 272)(206, 298)(207, 300)(208, 265)(209, 266)(210, 281)(211, 285)(212, 269)(213, 270)(214, 282)(215, 286)(216, 273)(217, 274)(218, 277)(219, 278)(220, 305)(221, 307)(222, 306)(223, 308)(224, 317)(225, 321)(226, 319)(227, 323)(228, 313)(229, 315)(230, 314)(231, 316)(232, 318)(233, 322)(234, 320)(235, 324)(236, 301)(237, 309)(238, 302)(239, 310)(240, 303)(241, 311)(242, 304)(243, 312)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2049
Transitivity :: VT+
Graph::
	v = 27 e = 162 f = 81
	degree seq :: [ 12^27 ]

E28.2054 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 3, 3})
Quotient :: loop^2
Aut^+ = (C3 x C3 x C3) : C3 (small group id <81, 7>)
Aut   = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 11>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3^3, Y1^3, (Y1^-1, Y2^-1), R * Y1 * R * Y2, (R * Y3)^2, Y3^-1 * Y2^-1 * Y1^-1 * Y3 * Y1 * Y2, Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1, Y3^-1 * Y1^-1 * Y3^-1 * Y2 * Y3^-1 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 82, 163, 244, 4, 85, 166, 247, 7, 88, 169, 250)(2, 83, 164, 245, 9, 90, 171, 252, 11, 92, 173, 254)(3, 84, 165, 246, 12, 93, 174, 255, 14, 95, 176, 257)(5, 86, 167, 248, 19, 100, 181, 262, 21, 102, 183, 264)(6, 87, 168, 249, 22, 103, 184, 265, 23, 104, 185, 266)(8, 89, 170, 251, 28, 109, 190, 271, 29, 110, 191, 272)(10, 91, 172, 253, 34, 115, 196, 277, 35, 116, 197, 278)(13, 94, 175, 256, 44, 125, 206, 287, 45, 126, 207, 288)(15, 96, 177, 258, 48, 129, 210, 291, 51, 132, 213, 294)(16, 97, 178, 259, 39, 120, 201, 282, 53, 134, 215, 296)(17, 98, 179, 260, 54, 135, 216, 297, 56, 137, 218, 299)(18, 99, 180, 261, 57, 138, 219, 300, 58, 139, 220, 301)(20, 101, 182, 263, 55, 136, 217, 298, 61, 142, 223, 304)(24, 105, 186, 267, 66, 147, 228, 309, 41, 122, 203, 284)(25, 106, 187, 268, 68, 149, 230, 311, 30, 111, 192, 273)(26, 107, 188, 269, 70, 151, 232, 313, 33, 114, 195, 276)(27, 108, 189, 270, 71, 152, 233, 314, 42, 123, 204, 285)(31, 112, 193, 274, 62, 143, 224, 305, 72, 153, 234, 315)(32, 113, 194, 275, 46, 127, 208, 289, 73, 154, 235, 316)(36, 117, 198, 279, 74, 155, 236, 317, 50, 131, 212, 293)(37, 118, 199, 280, 75, 156, 237, 318, 43, 124, 205, 286)(38, 119, 200, 281, 76, 157, 238, 319, 60, 141, 222, 303)(40, 121, 202, 283, 65, 146, 227, 308, 77, 158, 239, 320)(47, 128, 209, 290, 78, 159, 240, 321, 52, 133, 214, 295)(49, 130, 211, 292, 79, 160, 241, 322, 63, 144, 225, 306)(59, 140, 221, 302, 69, 150, 231, 312, 81, 162, 243, 324)(64, 145, 226, 307, 67, 148, 229, 310, 80, 161, 242, 323)
	L = (1, 83)(2, 86)(3, 89)(4, 96)(5, 82)(6, 91)(7, 105)(8, 94)(9, 111)(10, 101)(11, 117)(12, 121)(13, 84)(14, 127)(15, 98)(16, 109)(17, 85)(18, 131)(19, 124)(20, 87)(21, 130)(22, 114)(23, 120)(24, 107)(25, 110)(26, 88)(27, 148)(28, 133)(29, 150)(30, 113)(31, 125)(32, 90)(33, 144)(34, 141)(35, 143)(36, 119)(37, 126)(38, 92)(39, 146)(40, 123)(41, 115)(42, 93)(43, 140)(44, 145)(45, 135)(46, 129)(47, 116)(48, 95)(49, 138)(50, 136)(51, 161)(52, 97)(53, 154)(54, 118)(55, 99)(56, 160)(57, 102)(58, 149)(59, 100)(60, 122)(61, 108)(62, 128)(63, 103)(64, 112)(65, 104)(66, 134)(67, 142)(68, 158)(69, 106)(70, 156)(71, 137)(72, 162)(73, 147)(74, 153)(75, 159)(76, 132)(77, 139)(78, 151)(79, 152)(80, 157)(81, 155)(163, 246)(164, 251)(165, 249)(166, 259)(167, 256)(168, 244)(169, 268)(170, 253)(171, 274)(172, 245)(173, 280)(174, 284)(175, 263)(176, 290)(177, 271)(178, 261)(179, 295)(180, 247)(181, 285)(182, 248)(183, 291)(184, 275)(185, 281)(186, 272)(187, 270)(188, 312)(189, 250)(190, 293)(191, 310)(192, 287)(193, 276)(194, 307)(195, 252)(196, 302)(197, 300)(198, 288)(199, 282)(200, 297)(201, 254)(202, 277)(203, 286)(204, 303)(205, 255)(206, 306)(207, 308)(208, 278)(209, 292)(210, 305)(211, 257)(212, 258)(213, 318)(214, 298)(215, 324)(216, 266)(217, 260)(218, 309)(219, 289)(220, 319)(221, 283)(222, 262)(223, 269)(224, 264)(225, 273)(226, 265)(227, 279)(228, 315)(229, 267)(230, 294)(231, 304)(232, 301)(233, 316)(234, 299)(235, 317)(236, 314)(237, 311)(238, 313)(239, 323)(240, 320)(241, 296)(242, 321)(243, 322)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2051
Transitivity :: VT+
Graph:: simple
	v = 27 e = 162 f = 81
	degree seq :: [ 12^27 ]

E28.2055 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 3, 3})
Quotient :: loop^2
Aut^+ = (C3 x C3 x C3) : C3 (small group id <81, 7>)
Aut   = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 11>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3^3, Y1^3, (Y2^-1, Y1^-1), R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y1^-1, Y3 * Y2^-1 * Y3 * Y1 * Y3 * Y2^-1, Y2^-1 * Y1 * Y3^-1 * Y1 * Y2 * Y3 * Y1, Y1 * Y2 * Y3^-1 * Y2 * Y1^-1 * Y2 * Y3, Y1^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 82, 163, 244, 4, 85, 166, 247, 7, 88, 169, 250)(2, 83, 164, 245, 9, 90, 171, 252, 11, 92, 173, 254)(3, 84, 165, 246, 12, 93, 174, 255, 14, 95, 176, 257)(5, 86, 167, 248, 19, 100, 181, 262, 21, 102, 183, 264)(6, 87, 168, 249, 22, 103, 184, 265, 23, 104, 185, 266)(8, 89, 170, 251, 28, 109, 190, 271, 29, 110, 191, 272)(10, 91, 172, 253, 34, 115, 196, 277, 35, 116, 197, 278)(13, 94, 175, 256, 44, 125, 206, 287, 45, 126, 207, 288)(15, 96, 177, 258, 47, 128, 209, 290, 51, 132, 213, 294)(16, 97, 178, 259, 36, 117, 198, 279, 53, 134, 215, 296)(17, 98, 179, 260, 39, 120, 201, 282, 55, 136, 217, 298)(18, 99, 180, 261, 48, 129, 210, 291, 56, 137, 218, 299)(20, 101, 182, 263, 54, 135, 216, 297, 59, 140, 221, 302)(24, 105, 186, 267, 66, 147, 228, 309, 42, 123, 204, 285)(25, 106, 187, 268, 68, 149, 230, 311, 33, 114, 195, 276)(26, 107, 188, 269, 70, 151, 232, 313, 63, 144, 225, 306)(27, 108, 189, 270, 71, 152, 233, 314, 57, 138, 219, 300)(30, 111, 192, 273, 67, 148, 229, 310, 72, 153, 234, 315)(31, 112, 193, 274, 49, 130, 211, 292, 73, 154, 235, 316)(32, 113, 194, 275, 61, 142, 223, 304, 74, 155, 236, 317)(37, 118, 199, 280, 75, 156, 237, 318, 58, 139, 220, 301)(38, 119, 200, 281, 76, 157, 238, 319, 40, 121, 202, 283)(41, 122, 203, 284, 69, 150, 231, 312, 77, 158, 239, 320)(43, 124, 205, 286, 64, 145, 226, 307, 78, 159, 240, 321)(46, 127, 208, 289, 79, 160, 241, 322, 62, 143, 224, 305)(50, 131, 212, 293, 65, 146, 227, 308, 80, 161, 242, 323)(52, 133, 214, 295, 60, 141, 222, 303, 81, 162, 243, 324)
	L = (1, 83)(2, 86)(3, 89)(4, 96)(5, 82)(6, 91)(7, 105)(8, 94)(9, 111)(10, 101)(11, 117)(12, 121)(13, 84)(14, 127)(15, 98)(16, 109)(17, 85)(18, 131)(19, 124)(20, 87)(21, 130)(22, 114)(23, 120)(24, 107)(25, 110)(26, 88)(27, 148)(28, 133)(29, 150)(30, 113)(31, 125)(32, 90)(33, 143)(34, 139)(35, 142)(36, 119)(37, 126)(38, 92)(39, 145)(40, 123)(41, 115)(42, 93)(43, 138)(44, 144)(45, 146)(46, 129)(47, 116)(48, 95)(49, 141)(50, 135)(51, 149)(52, 97)(53, 160)(54, 99)(55, 154)(56, 151)(57, 100)(58, 122)(59, 108)(60, 102)(61, 128)(62, 103)(63, 112)(64, 104)(65, 118)(66, 161)(67, 140)(68, 157)(69, 106)(70, 159)(71, 134)(72, 156)(73, 158)(74, 147)(75, 162)(76, 132)(77, 136)(78, 137)(79, 152)(80, 155)(81, 153)(163, 246)(164, 251)(165, 249)(166, 259)(167, 256)(168, 244)(169, 268)(170, 253)(171, 274)(172, 245)(173, 280)(174, 284)(175, 263)(176, 290)(177, 271)(178, 261)(179, 295)(180, 247)(181, 285)(182, 248)(183, 291)(184, 275)(185, 281)(186, 272)(187, 270)(188, 312)(189, 250)(190, 293)(191, 310)(192, 287)(193, 276)(194, 306)(195, 252)(196, 300)(197, 303)(198, 288)(199, 282)(200, 308)(201, 254)(202, 277)(203, 286)(204, 301)(205, 255)(206, 305)(207, 307)(208, 278)(209, 292)(210, 304)(211, 257)(212, 258)(213, 318)(214, 297)(215, 309)(216, 260)(217, 314)(218, 319)(219, 283)(220, 262)(221, 269)(222, 289)(223, 264)(224, 273)(225, 265)(226, 279)(227, 266)(228, 316)(229, 267)(230, 324)(231, 302)(232, 294)(233, 317)(234, 299)(235, 296)(236, 298)(237, 313)(238, 315)(239, 322)(240, 311)(241, 323)(242, 320)(243, 321)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2050
Transitivity :: VT+
Graph:: simple
	v = 27 e = 162 f = 81
	degree seq :: [ 12^27 ]

E28.2056 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 3, 3})
Quotient :: dipole
Aut^+ = (C3 x C3 x C3) : C3 (small group id <81, 7>)
Aut   = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 19>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^3, Y2^3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, (Y3^-1 * Y1^-1)^3, Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y1^-1 ]
Map::
	R = (1, 82, 2, 83, 4, 85)(3, 84, 8, 89, 9, 90)(5, 86, 12, 93, 13, 94)(6, 87, 14, 95, 15, 96)(7, 88, 16, 97, 17, 98)(10, 91, 22, 103, 23, 104)(11, 92, 24, 105, 25, 106)(18, 99, 38, 119, 32, 113)(19, 100, 39, 120, 36, 117)(20, 101, 40, 121, 41, 122)(21, 102, 42, 123, 43, 124)(26, 107, 50, 131, 33, 114)(27, 108, 51, 132, 37, 118)(28, 109, 44, 125, 52, 133)(29, 110, 47, 128, 53, 134)(30, 111, 54, 135, 45, 126)(31, 112, 55, 136, 48, 129)(34, 115, 56, 137, 46, 127)(35, 116, 57, 138, 49, 130)(58, 139, 74, 155, 62, 143)(59, 140, 76, 157, 64, 145)(60, 141, 78, 159, 63, 144)(61, 142, 80, 161, 65, 146)(66, 147, 75, 156, 70, 151)(67, 148, 77, 158, 72, 153)(68, 149, 79, 160, 71, 152)(69, 150, 81, 162, 73, 154)(163, 244, 165, 246, 167, 248)(164, 245, 168, 249, 169, 250)(166, 247, 172, 253, 173, 254)(170, 251, 180, 261, 181, 262)(171, 252, 182, 263, 183, 264)(174, 255, 188, 269, 189, 270)(175, 256, 190, 271, 191, 272)(176, 257, 192, 273, 193, 274)(177, 258, 194, 275, 195, 276)(178, 259, 196, 277, 197, 278)(179, 260, 198, 279, 199, 280)(184, 265, 202, 283, 206, 287)(185, 266, 207, 288, 208, 289)(186, 267, 204, 285, 209, 290)(187, 268, 210, 291, 211, 292)(200, 281, 220, 301, 221, 302)(201, 282, 222, 303, 223, 304)(203, 284, 224, 305, 225, 306)(205, 286, 226, 307, 227, 308)(212, 293, 228, 309, 229, 310)(213, 294, 230, 311, 231, 312)(214, 295, 232, 313, 233, 314)(215, 296, 234, 315, 235, 316)(216, 297, 236, 317, 237, 318)(217, 298, 238, 319, 239, 320)(218, 299, 240, 321, 241, 322)(219, 300, 242, 323, 243, 324)
	L = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 54 e = 162 f = 54
	degree seq :: [ 6^54 ]

E28.2057 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 3, 3})
Quotient :: dipole
Aut^+ = (C3 x C3 x C3) : C3 (small group id <81, 7>)
Aut   = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 19>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2^3, Y1^3, (Y1^-1, Y3^-1), (Y3, Y2), (R * Y1)^2, (Y3, Y1), (R * Y2)^2, (R * Y3)^2, Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y1 * Y2^-1, Y2 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1, Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 82, 2, 83, 5, 86)(3, 84, 12, 93, 14, 95)(4, 85, 9, 90, 16, 97)(6, 87, 21, 102, 22, 103)(7, 88, 11, 92, 20, 101)(8, 89, 24, 105, 26, 107)(10, 91, 29, 110, 30, 111)(13, 94, 33, 114, 36, 117)(15, 96, 35, 116, 39, 120)(17, 98, 42, 123, 43, 124)(18, 99, 44, 125, 45, 126)(19, 100, 47, 128, 48, 129)(23, 104, 52, 133, 55, 136)(25, 106, 56, 137, 58, 139)(27, 108, 54, 135, 61, 142)(28, 109, 37, 118, 62, 143)(31, 112, 64, 145, 67, 148)(32, 113, 41, 122, 59, 140)(34, 115, 70, 151, 65, 146)(38, 119, 73, 154, 74, 155)(40, 121, 75, 156, 76, 157)(46, 127, 66, 147, 51, 132)(49, 130, 79, 160, 68, 149)(50, 131, 72, 153, 60, 141)(53, 134, 78, 159, 69, 150)(57, 138, 80, 161, 71, 152)(63, 144, 81, 162, 77, 158)(163, 244, 165, 246, 168, 249)(164, 245, 170, 251, 172, 253)(166, 247, 175, 256, 179, 260)(167, 248, 180, 261, 181, 262)(169, 250, 177, 258, 185, 266)(171, 252, 187, 268, 190, 271)(173, 254, 189, 270, 193, 274)(174, 255, 194, 275, 196, 277)(176, 257, 199, 280, 200, 281)(178, 259, 202, 283, 203, 284)(182, 263, 208, 289, 211, 292)(183, 264, 212, 293, 213, 294)(184, 265, 215, 296, 216, 297)(186, 267, 205, 286, 219, 300)(188, 269, 221, 302, 222, 303)(191, 272, 225, 306, 201, 282)(192, 273, 227, 308, 228, 309)(195, 276, 230, 311, 231, 312)(197, 278, 210, 291, 233, 314)(198, 279, 226, 307, 234, 315)(204, 285, 239, 320, 207, 288)(206, 287, 224, 305, 240, 321)(209, 290, 235, 316, 223, 304)(214, 295, 236, 317, 238, 319)(217, 298, 232, 313, 218, 299)(220, 301, 241, 322, 243, 324)(229, 310, 242, 323, 237, 318)
	L = (1, 166)(2, 171)(3, 175)(4, 169)(5, 178)(6, 179)(7, 163)(8, 187)(9, 173)(10, 190)(11, 164)(12, 195)(13, 177)(14, 198)(15, 165)(16, 182)(17, 185)(18, 202)(19, 203)(20, 167)(21, 204)(22, 205)(23, 168)(24, 218)(25, 189)(26, 220)(27, 170)(28, 193)(29, 199)(30, 224)(31, 172)(32, 230)(33, 197)(34, 231)(35, 174)(36, 201)(37, 226)(38, 234)(39, 176)(40, 208)(41, 211)(42, 214)(43, 217)(44, 237)(45, 238)(46, 180)(47, 221)(48, 194)(49, 181)(50, 239)(51, 207)(52, 183)(53, 219)(54, 186)(55, 184)(56, 216)(57, 232)(58, 223)(59, 241)(60, 243)(61, 188)(62, 229)(63, 200)(64, 191)(65, 240)(66, 206)(67, 192)(68, 210)(69, 233)(70, 215)(71, 196)(72, 225)(73, 222)(74, 212)(75, 228)(76, 213)(77, 236)(78, 242)(79, 209)(80, 227)(81, 235)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2058
Graph:: simple bipartite
	v = 54 e = 162 f = 54
	degree seq :: [ 6^54 ]

E28.2058 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 3, 3})
Quotient :: dipole
Aut^+ = (C3 x C3 x C3) : C3 (small group id <81, 7>)
Aut   = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 19>)
|r| :: 2
Presentation :: [ R^2, Y3^-3, Y3^3, Y1^3, Y2^3, Y3^3, (Y3^-1, Y2), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y1^-1), Y1^-1 * Y2 * Y3^-1 * Y2^2 * Y1 * Y3, Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1, Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y1, Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 82, 2, 83, 5, 86)(3, 84, 12, 93, 14, 95)(4, 85, 9, 90, 16, 97)(6, 87, 21, 102, 22, 103)(7, 88, 11, 92, 20, 101)(8, 89, 24, 105, 26, 107)(10, 91, 29, 110, 30, 111)(13, 94, 33, 114, 36, 117)(15, 96, 35, 116, 39, 120)(17, 98, 42, 123, 43, 124)(18, 99, 44, 125, 45, 126)(19, 100, 47, 128, 48, 129)(23, 104, 52, 133, 55, 136)(25, 106, 54, 135, 58, 139)(27, 108, 57, 138, 61, 142)(28, 109, 62, 143, 63, 144)(31, 112, 37, 118, 67, 148)(32, 113, 49, 130, 59, 140)(34, 115, 70, 151, 65, 146)(38, 119, 72, 153, 73, 154)(40, 121, 66, 147, 51, 132)(41, 122, 75, 156, 68, 149)(46, 127, 78, 159, 76, 157)(50, 131, 74, 155, 60, 141)(53, 134, 77, 158, 71, 152)(56, 137, 80, 161, 69, 150)(64, 145, 81, 162, 79, 160)(163, 244, 165, 246, 168, 249)(164, 245, 170, 251, 172, 253)(166, 247, 175, 256, 179, 260)(167, 248, 180, 261, 181, 262)(169, 250, 177, 258, 185, 266)(171, 252, 187, 268, 190, 271)(173, 254, 189, 270, 193, 274)(174, 255, 194, 275, 196, 277)(176, 257, 199, 280, 200, 281)(178, 259, 202, 283, 203, 284)(182, 263, 208, 289, 211, 292)(183, 264, 212, 293, 213, 294)(184, 265, 215, 296, 216, 297)(186, 267, 217, 298, 218, 299)(188, 269, 221, 302, 222, 303)(191, 272, 226, 307, 198, 279)(192, 273, 227, 308, 228, 309)(195, 276, 210, 291, 231, 312)(197, 278, 230, 311, 233, 314)(201, 282, 224, 305, 236, 317)(204, 285, 235, 316, 238, 319)(205, 286, 232, 313, 219, 300)(206, 287, 229, 310, 239, 320)(207, 288, 214, 295, 241, 322)(209, 290, 234, 315, 220, 301)(223, 304, 237, 318, 243, 324)(225, 306, 242, 323, 240, 321)
	L = (1, 166)(2, 171)(3, 175)(4, 169)(5, 178)(6, 179)(7, 163)(8, 187)(9, 173)(10, 190)(11, 164)(12, 195)(13, 177)(14, 198)(15, 165)(16, 182)(17, 185)(18, 202)(19, 203)(20, 167)(21, 204)(22, 205)(23, 168)(24, 216)(25, 189)(26, 220)(27, 170)(28, 193)(29, 224)(30, 225)(31, 172)(32, 210)(33, 197)(34, 231)(35, 174)(36, 201)(37, 191)(38, 226)(39, 176)(40, 208)(41, 211)(42, 214)(43, 217)(44, 228)(45, 213)(46, 180)(47, 237)(48, 230)(49, 181)(50, 235)(51, 238)(52, 183)(53, 232)(54, 219)(55, 184)(56, 215)(57, 186)(58, 223)(59, 209)(60, 234)(61, 188)(62, 199)(63, 229)(64, 236)(65, 242)(66, 240)(67, 192)(68, 194)(69, 233)(70, 218)(71, 196)(72, 243)(73, 241)(74, 200)(75, 221)(76, 207)(77, 227)(78, 206)(79, 212)(80, 239)(81, 222)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2057
Graph:: simple bipartite
	v = 54 e = 162 f = 54
	degree seq :: [ 6^54 ]

E28.2059 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 3, 3})
Quotient :: edge^2
Aut^+ = (C9 x C3) : C3 (small group id <81, 9>)
Aut   = ((C9 x C3) : C3) : C2 (small group id <162, 14>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2^3, Y1^3, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y1^-1 * Y3^-1 * Y2^-1 * Y1, Y3^-1 * Y2 * Y1^-1 * Y2^-1 * Y1, (Y3 * Y1^-1)^3, (Y1 * Y3^-1)^3, Y2 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1^-1, (Y2^-1 * Y3^-1)^3, Y3 * Y1 * Y2 * Y3 * Y1^-1 * Y2^-1, (Y3^-1 * Y1^-1)^3, (Y2^-1 * Y1^-1)^3, (Y3 * Y2^-1)^3, Y2 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1, Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 82, 4, 85, 7, 88)(2, 83, 9, 90, 11, 92)(3, 84, 13, 94, 15, 96)(5, 86, 21, 102, 23, 104)(6, 87, 25, 106, 27, 108)(8, 89, 33, 114, 34, 115)(10, 91, 24, 105, 40, 121)(12, 93, 44, 125, 45, 126)(14, 95, 48, 129, 20, 101)(16, 97, 51, 132, 52, 133)(17, 98, 54, 135, 55, 136)(18, 99, 41, 122, 56, 137)(19, 100, 49, 130, 58, 139)(22, 103, 39, 120, 63, 144)(26, 107, 66, 147, 47, 128)(28, 109, 69, 150, 61, 142)(29, 110, 70, 151, 65, 146)(30, 111, 71, 152, 35, 116)(31, 112, 73, 154, 46, 127)(32, 113, 74, 155, 75, 156)(36, 117, 68, 149, 53, 134)(37, 118, 64, 145, 78, 159)(38, 119, 77, 158, 67, 148)(42, 123, 80, 161, 59, 140)(43, 124, 81, 162, 76, 157)(50, 131, 60, 141, 79, 160)(57, 138, 62, 143, 72, 153)(163, 164, 167)(165, 174, 176)(166, 178, 180)(168, 186, 188)(169, 190, 192)(170, 194, 175)(171, 197, 199)(172, 201, 193)(173, 203, 204)(177, 198, 212)(179, 215, 210)(181, 202, 219)(182, 191, 195)(183, 221, 223)(184, 187, 205)(185, 226, 213)(189, 229, 224)(196, 222, 217)(200, 225, 220)(206, 241, 227)(207, 236, 216)(208, 239, 228)(209, 211, 243)(214, 233, 242)(218, 240, 231)(230, 237, 232)(234, 235, 238)(244, 246, 249)(245, 251, 253)(247, 260, 262)(248, 263, 265)(250, 272, 274)(252, 279, 281)(254, 255, 286)(256, 289, 280)(257, 290, 261)(258, 292, 285)(259, 288, 267)(264, 303, 305)(266, 275, 269)(268, 302, 308)(270, 307, 297)(271, 311, 283)(273, 291, 315)(276, 319, 304)(277, 320, 294)(278, 318, 282)(284, 322, 306)(287, 310, 312)(293, 309, 314)(295, 296, 324)(298, 316, 323)(299, 317, 300)(301, 321, 313)
	L = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 12^3 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2064
Graph:: simple bipartite
	v = 81 e = 162 f = 27
	degree seq :: [ 3^54, 6^27 ]

E28.2060 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 3, 3})
Quotient :: edge^2
Aut^+ = (C9 x C3) : C3 (small group id <81, 9>)
Aut   = ((C9 x C3) : C3) : C2 (small group id <162, 14>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3^3, Y1 * Y3 * Y2, Y1^3, R * Y2 * R * Y1, (R * Y3)^2, (Y1^-1 * Y3^-1 * Y2^-1)^3, Y2 * Y3 * Y1 * Y2 * Y3^-1 * Y2 * Y3 * Y1 * Y2 * Y1^-1, Y3 * Y1 * Y2 * Y3 * Y1^-1 * Y3 * Y1 * Y2 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 82, 4, 85, 7, 88)(2, 83, 6, 87, 10, 91)(3, 84, 11, 92, 13, 94)(5, 86, 9, 90, 17, 98)(8, 89, 20, 101, 22, 103)(12, 93, 19, 100, 28, 109)(14, 95, 16, 97, 32, 113)(15, 96, 31, 112, 33, 114)(18, 99, 29, 110, 36, 117)(21, 102, 24, 105, 41, 122)(23, 104, 42, 123, 43, 124)(25, 106, 27, 108, 47, 128)(26, 107, 46, 127, 48, 129)(30, 111, 52, 133, 54, 135)(34, 115, 35, 116, 58, 139)(37, 118, 57, 138, 61, 142)(38, 119, 40, 121, 63, 144)(39, 120, 62, 143, 64, 145)(44, 125, 60, 141, 69, 150)(45, 126, 59, 140, 68, 149)(49, 130, 50, 131, 74, 155)(51, 132, 73, 154, 75, 156)(53, 134, 56, 137, 76, 157)(55, 136, 77, 158, 78, 159)(65, 146, 66, 147, 81, 162)(67, 148, 80, 161, 71, 152)(70, 151, 72, 153, 79, 160)(163, 164, 167)(165, 169, 174)(166, 176, 177)(168, 175, 180)(170, 172, 183)(171, 184, 185)(173, 187, 188)(178, 179, 196)(181, 195, 199)(182, 200, 201)(186, 198, 206)(189, 190, 211)(191, 210, 213)(192, 194, 215)(193, 216, 217)(197, 205, 221)(202, 203, 227)(204, 226, 229)(207, 209, 232)(208, 230, 233)(212, 223, 225)(214, 222, 237)(218, 220, 241)(219, 240, 224)(228, 231, 238)(234, 236, 243)(235, 242, 239)(244, 246, 249)(245, 251, 252)(247, 248, 259)(250, 258, 262)(253, 261, 267)(254, 255, 270)(256, 269, 272)(257, 273, 274)(260, 266, 278)(263, 264, 283)(265, 282, 285)(268, 288, 289)(271, 280, 293)(275, 277, 299)(276, 298, 300)(279, 294, 303)(281, 304, 305)(284, 287, 309)(286, 310, 311)(290, 292, 315)(291, 314, 316)(295, 296, 312)(297, 318, 320)(301, 302, 313)(306, 308, 317)(307, 321, 323)(319, 322, 324)
	L = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 12^3 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2063
Graph:: simple bipartite
	v = 81 e = 162 f = 27
	degree seq :: [ 3^54, 6^27 ]

E28.2061 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 3, 3})
Quotient :: edge^2
Aut^+ = (C9 x C3) : C3 (small group id <81, 9>)
Aut   = ((C9 x C3) : C3) : C2 (small group id <162, 14>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3^3, Y1 * Y2 * Y3^-1, Y1^3, R * Y1 * R * Y2, (R * Y3)^2, Y1 * Y3 * Y2 * Y1^-1 * Y3^-1 * Y2^-1, (Y1 * Y3^-1 * Y2)^3, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 82, 4, 85, 7, 88)(2, 83, 8, 89, 10, 91)(3, 84, 12, 93, 5, 86)(6, 87, 18, 99, 13, 94)(9, 90, 23, 104, 15, 96)(11, 92, 25, 106, 27, 108)(14, 95, 30, 111, 31, 112)(16, 97, 33, 114, 21, 102)(17, 98, 19, 100, 35, 116)(20, 101, 38, 119, 39, 120)(22, 103, 24, 105, 42, 123)(26, 107, 48, 129, 28, 109)(29, 110, 51, 132, 46, 127)(32, 113, 55, 136, 53, 134)(34, 115, 58, 139, 36, 117)(37, 118, 54, 135, 61, 142)(40, 121, 65, 146, 63, 144)(41, 122, 67, 148, 43, 124)(44, 125, 64, 145, 60, 141)(45, 126, 70, 151, 71, 152)(47, 128, 49, 130, 69, 150)(50, 131, 75, 156, 56, 137)(52, 133, 76, 157, 77, 158)(57, 138, 59, 140, 79, 160)(62, 143, 80, 161, 72, 153)(66, 147, 68, 149, 78, 159)(73, 154, 81, 162, 74, 155)(163, 164, 167)(165, 173, 175)(166, 176, 177)(168, 179, 169)(170, 182, 183)(171, 184, 172)(174, 178, 190)(180, 191, 198)(181, 199, 193)(185, 194, 205)(186, 206, 201)(187, 207, 208)(188, 209, 189)(192, 214, 215)(195, 202, 218)(196, 219, 197)(200, 224, 225)(203, 228, 204)(210, 212, 236)(211, 217, 233)(213, 234, 226)(216, 227, 239)(220, 222, 230)(221, 237, 223)(229, 231, 235)(232, 238, 242)(240, 243, 241)(244, 246, 249)(245, 247, 252)(248, 251, 259)(250, 262, 257)(253, 267, 263)(254, 255, 269)(256, 268, 272)(258, 273, 275)(260, 261, 277)(264, 281, 283)(265, 266, 284)(270, 292, 288)(271, 276, 293)(274, 297, 295)(278, 302, 280)(279, 294, 303)(282, 307, 305)(285, 311, 287)(286, 298, 312)(289, 313, 315)(290, 291, 316)(296, 319, 314)(299, 308, 304)(300, 301, 321)(306, 323, 320)(309, 310, 324)(317, 318, 322)
	L = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 12^3 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2065
Graph:: simple bipartite
	v = 81 e = 162 f = 27
	degree seq :: [ 3^54, 6^27 ]

E28.2062 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 3, 3})
Quotient :: edge^2
Aut^+ = (C9 x C3) : C3 (small group id <81, 9>)
Aut   = ((C9 x C3) : C3) : C2 (small group id <162, 21>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2, Y2^3, Y3^3, Y1^3, (R * Y3)^2, R * Y1 * R * Y2, Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1, (Y1^-1 * Y3^-1 * Y2^-1)^3, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 82, 3, 84, 5, 86)(2, 83, 6, 87, 7, 88)(4, 85, 10, 91, 11, 92)(8, 89, 18, 99, 19, 100)(9, 90, 16, 97, 20, 101)(12, 93, 25, 106, 22, 103)(13, 94, 26, 107, 27, 108)(14, 95, 28, 109, 29, 110)(15, 96, 23, 104, 30, 111)(17, 98, 31, 112, 32, 113)(21, 102, 38, 119, 39, 120)(24, 105, 40, 121, 41, 122)(33, 114, 53, 134, 54, 135)(34, 115, 36, 117, 55, 136)(35, 116, 56, 137, 57, 138)(37, 118, 51, 132, 58, 139)(42, 123, 64, 145, 60, 141)(43, 124, 44, 125, 65, 146)(45, 126, 66, 147, 67, 148)(46, 127, 68, 149, 69, 150)(47, 128, 49, 130, 70, 151)(48, 129, 71, 152, 72, 153)(50, 131, 62, 143, 73, 154)(52, 133, 74, 155, 75, 156)(59, 140, 76, 157, 77, 158)(61, 142, 78, 159, 79, 160)(63, 144, 80, 161, 81, 162)(163, 164, 166)(165, 170, 171)(167, 174, 175)(168, 176, 177)(169, 178, 179)(172, 183, 184)(173, 185, 186)(180, 195, 196)(181, 188, 197)(182, 198, 199)(187, 204, 205)(189, 206, 207)(190, 208, 209)(191, 193, 210)(192, 211, 212)(194, 213, 214)(200, 221, 222)(201, 202, 223)(203, 224, 225)(215, 230, 238)(216, 218, 232)(217, 239, 240)(219, 228, 235)(220, 241, 242)(226, 231, 233)(227, 234, 236)(229, 237, 243)(244, 245, 247)(246, 251, 252)(248, 255, 256)(249, 257, 258)(250, 259, 260)(253, 264, 265)(254, 266, 267)(261, 276, 277)(262, 269, 278)(263, 279, 280)(268, 285, 286)(270, 287, 288)(271, 289, 290)(272, 274, 291)(273, 292, 293)(275, 294, 295)(281, 302, 303)(282, 283, 304)(284, 305, 306)(296, 311, 319)(297, 299, 313)(298, 320, 321)(300, 309, 316)(301, 322, 323)(307, 312, 314)(308, 315, 317)(310, 318, 324)
	L = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 12^3 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2066
Graph:: simple bipartite
	v = 81 e = 162 f = 27
	degree seq :: [ 3^54, 6^27 ]

E28.2063 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 3, 3})
Quotient :: loop^2
Aut^+ = (C9 x C3) : C3 (small group id <81, 9>)
Aut   = ((C9 x C3) : C3) : C2 (small group id <162, 14>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2^3, Y1^3, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y1^-1 * Y3^-1 * Y2^-1 * Y1, Y3^-1 * Y2 * Y1^-1 * Y2^-1 * Y1, (Y3 * Y1^-1)^3, (Y1 * Y3^-1)^3, Y2 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1^-1, (Y2^-1 * Y3^-1)^3, Y3 * Y1 * Y2 * Y3 * Y1^-1 * Y2^-1, (Y3^-1 * Y1^-1)^3, (Y2^-1 * Y1^-1)^3, (Y3 * Y2^-1)^3, Y2 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1, Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 82, 163, 244, 4, 85, 166, 247, 7, 88, 169, 250)(2, 83, 164, 245, 9, 90, 171, 252, 11, 92, 173, 254)(3, 84, 165, 246, 13, 94, 175, 256, 15, 96, 177, 258)(5, 86, 167, 248, 21, 102, 183, 264, 23, 104, 185, 266)(6, 87, 168, 249, 25, 106, 187, 268, 27, 108, 189, 270)(8, 89, 170, 251, 33, 114, 195, 276, 34, 115, 196, 277)(10, 91, 172, 253, 24, 105, 186, 267, 40, 121, 202, 283)(12, 93, 174, 255, 44, 125, 206, 287, 45, 126, 207, 288)(14, 95, 176, 257, 48, 129, 210, 291, 20, 101, 182, 263)(16, 97, 178, 259, 51, 132, 213, 294, 52, 133, 214, 295)(17, 98, 179, 260, 54, 135, 216, 297, 55, 136, 217, 298)(18, 99, 180, 261, 41, 122, 203, 284, 56, 137, 218, 299)(19, 100, 181, 262, 49, 130, 211, 292, 58, 139, 220, 301)(22, 103, 184, 265, 39, 120, 201, 282, 63, 144, 225, 306)(26, 107, 188, 269, 66, 147, 228, 309, 47, 128, 209, 290)(28, 109, 190, 271, 69, 150, 231, 312, 61, 142, 223, 304)(29, 110, 191, 272, 70, 151, 232, 313, 65, 146, 227, 308)(30, 111, 192, 273, 71, 152, 233, 314, 35, 116, 197, 278)(31, 112, 193, 274, 73, 154, 235, 316, 46, 127, 208, 289)(32, 113, 194, 275, 74, 155, 236, 317, 75, 156, 237, 318)(36, 117, 198, 279, 68, 149, 230, 311, 53, 134, 215, 296)(37, 118, 199, 280, 64, 145, 226, 307, 78, 159, 240, 321)(38, 119, 200, 281, 77, 158, 239, 320, 67, 148, 229, 310)(42, 123, 204, 285, 80, 161, 242, 323, 59, 140, 221, 302)(43, 124, 205, 286, 81, 162, 243, 324, 76, 157, 238, 319)(50, 131, 212, 293, 60, 141, 222, 303, 79, 160, 241, 322)(57, 138, 219, 300, 62, 143, 224, 305, 72, 153, 234, 315)
	L = (1, 83)(2, 86)(3, 93)(4, 97)(5, 82)(6, 105)(7, 109)(8, 113)(9, 116)(10, 120)(11, 122)(12, 95)(13, 89)(14, 84)(15, 117)(16, 99)(17, 134)(18, 85)(19, 121)(20, 110)(21, 140)(22, 106)(23, 145)(24, 107)(25, 124)(26, 87)(27, 148)(28, 111)(29, 114)(30, 88)(31, 91)(32, 94)(33, 101)(34, 141)(35, 118)(36, 131)(37, 90)(38, 144)(39, 112)(40, 138)(41, 123)(42, 92)(43, 103)(44, 160)(45, 155)(46, 158)(47, 130)(48, 98)(49, 162)(50, 96)(51, 104)(52, 152)(53, 129)(54, 126)(55, 115)(56, 159)(57, 100)(58, 119)(59, 142)(60, 136)(61, 102)(62, 108)(63, 139)(64, 132)(65, 125)(66, 127)(67, 143)(68, 156)(69, 137)(70, 149)(71, 161)(72, 154)(73, 157)(74, 135)(75, 151)(76, 153)(77, 147)(78, 150)(79, 146)(80, 133)(81, 128)(163, 246)(164, 251)(165, 249)(166, 260)(167, 263)(168, 244)(169, 272)(170, 253)(171, 279)(172, 245)(173, 255)(174, 286)(175, 289)(176, 290)(177, 292)(178, 288)(179, 262)(180, 257)(181, 247)(182, 265)(183, 303)(184, 248)(185, 275)(186, 259)(187, 302)(188, 266)(189, 307)(190, 311)(191, 274)(192, 291)(193, 250)(194, 269)(195, 319)(196, 320)(197, 318)(198, 281)(199, 256)(200, 252)(201, 278)(202, 271)(203, 322)(204, 258)(205, 254)(206, 310)(207, 267)(208, 280)(209, 261)(210, 315)(211, 285)(212, 309)(213, 277)(214, 296)(215, 324)(216, 270)(217, 316)(218, 317)(219, 299)(220, 321)(221, 308)(222, 305)(223, 276)(224, 264)(225, 284)(226, 297)(227, 268)(228, 314)(229, 312)(230, 283)(231, 287)(232, 301)(233, 293)(234, 273)(235, 323)(236, 300)(237, 282)(238, 304)(239, 294)(240, 313)(241, 306)(242, 298)(243, 295)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2060
Transitivity :: VT+
Graph:: simple
	v = 27 e = 162 f = 81
	degree seq :: [ 12^27 ]

E28.2064 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 3, 3})
Quotient :: loop^2
Aut^+ = (C9 x C3) : C3 (small group id <81, 9>)
Aut   = ((C9 x C3) : C3) : C2 (small group id <162, 14>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3^3, Y1 * Y3 * Y2, Y1^3, R * Y2 * R * Y1, (R * Y3)^2, (Y1^-1 * Y3^-1 * Y2^-1)^3, Y2 * Y3 * Y1 * Y2 * Y3^-1 * Y2 * Y3 * Y1 * Y2 * Y1^-1, Y3 * Y1 * Y2 * Y3 * Y1^-1 * Y3 * Y1 * Y2 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 82, 163, 244, 4, 85, 166, 247, 7, 88, 169, 250)(2, 83, 164, 245, 6, 87, 168, 249, 10, 91, 172, 253)(3, 84, 165, 246, 11, 92, 173, 254, 13, 94, 175, 256)(5, 86, 167, 248, 9, 90, 171, 252, 17, 98, 179, 260)(8, 89, 170, 251, 20, 101, 182, 263, 22, 103, 184, 265)(12, 93, 174, 255, 19, 100, 181, 262, 28, 109, 190, 271)(14, 95, 176, 257, 16, 97, 178, 259, 32, 113, 194, 275)(15, 96, 177, 258, 31, 112, 193, 274, 33, 114, 195, 276)(18, 99, 180, 261, 29, 110, 191, 272, 36, 117, 198, 279)(21, 102, 183, 264, 24, 105, 186, 267, 41, 122, 203, 284)(23, 104, 185, 266, 42, 123, 204, 285, 43, 124, 205, 286)(25, 106, 187, 268, 27, 108, 189, 270, 47, 128, 209, 290)(26, 107, 188, 269, 46, 127, 208, 289, 48, 129, 210, 291)(30, 111, 192, 273, 52, 133, 214, 295, 54, 135, 216, 297)(34, 115, 196, 277, 35, 116, 197, 278, 58, 139, 220, 301)(37, 118, 199, 280, 57, 138, 219, 300, 61, 142, 223, 304)(38, 119, 200, 281, 40, 121, 202, 283, 63, 144, 225, 306)(39, 120, 201, 282, 62, 143, 224, 305, 64, 145, 226, 307)(44, 125, 206, 287, 60, 141, 222, 303, 69, 150, 231, 312)(45, 126, 207, 288, 59, 140, 221, 302, 68, 149, 230, 311)(49, 130, 211, 292, 50, 131, 212, 293, 74, 155, 236, 317)(51, 132, 213, 294, 73, 154, 235, 316, 75, 156, 237, 318)(53, 134, 215, 296, 56, 137, 218, 299, 76, 157, 238, 319)(55, 136, 217, 298, 77, 158, 239, 320, 78, 159, 240, 321)(65, 146, 227, 308, 66, 147, 228, 309, 81, 162, 243, 324)(67, 148, 229, 310, 80, 161, 242, 323, 71, 152, 233, 314)(70, 151, 232, 313, 72, 153, 234, 315, 79, 160, 241, 322)
	L = (1, 83)(2, 86)(3, 88)(4, 95)(5, 82)(6, 94)(7, 93)(8, 91)(9, 103)(10, 102)(11, 106)(12, 84)(13, 99)(14, 96)(15, 85)(16, 98)(17, 115)(18, 87)(19, 114)(20, 119)(21, 89)(22, 104)(23, 90)(24, 117)(25, 107)(26, 92)(27, 109)(28, 130)(29, 129)(30, 113)(31, 135)(32, 134)(33, 118)(34, 97)(35, 124)(36, 125)(37, 100)(38, 120)(39, 101)(40, 122)(41, 146)(42, 145)(43, 140)(44, 105)(45, 128)(46, 149)(47, 151)(48, 132)(49, 108)(50, 142)(51, 110)(52, 141)(53, 111)(54, 136)(55, 112)(56, 139)(57, 159)(58, 160)(59, 116)(60, 156)(61, 144)(62, 138)(63, 131)(64, 148)(65, 121)(66, 150)(67, 123)(68, 152)(69, 157)(70, 126)(71, 127)(72, 155)(73, 161)(74, 162)(75, 133)(76, 147)(77, 154)(78, 143)(79, 137)(80, 158)(81, 153)(163, 246)(164, 251)(165, 249)(166, 248)(167, 259)(168, 244)(169, 258)(170, 252)(171, 245)(172, 261)(173, 255)(174, 270)(175, 269)(176, 273)(177, 262)(178, 247)(179, 266)(180, 267)(181, 250)(182, 264)(183, 283)(184, 282)(185, 278)(186, 253)(187, 288)(188, 272)(189, 254)(190, 280)(191, 256)(192, 274)(193, 257)(194, 277)(195, 298)(196, 299)(197, 260)(198, 294)(199, 293)(200, 304)(201, 285)(202, 263)(203, 287)(204, 265)(205, 310)(206, 309)(207, 289)(208, 268)(209, 292)(210, 314)(211, 315)(212, 271)(213, 303)(214, 296)(215, 312)(216, 318)(217, 300)(218, 275)(219, 276)(220, 302)(221, 313)(222, 279)(223, 305)(224, 281)(225, 308)(226, 321)(227, 317)(228, 284)(229, 311)(230, 286)(231, 295)(232, 301)(233, 316)(234, 290)(235, 291)(236, 306)(237, 320)(238, 322)(239, 297)(240, 323)(241, 324)(242, 307)(243, 319)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2059
Transitivity :: VT+
Graph::
	v = 27 e = 162 f = 81
	degree seq :: [ 12^27 ]

E28.2065 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 3, 3})
Quotient :: loop^2
Aut^+ = (C9 x C3) : C3 (small group id <81, 9>)
Aut   = ((C9 x C3) : C3) : C2 (small group id <162, 14>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3^3, Y1 * Y2 * Y3^-1, Y1^3, R * Y1 * R * Y2, (R * Y3)^2, Y1 * Y3 * Y2 * Y1^-1 * Y3^-1 * Y2^-1, (Y1 * Y3^-1 * Y2)^3, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 82, 163, 244, 4, 85, 166, 247, 7, 88, 169, 250)(2, 83, 164, 245, 8, 89, 170, 251, 10, 91, 172, 253)(3, 84, 165, 246, 12, 93, 174, 255, 5, 86, 167, 248)(6, 87, 168, 249, 18, 99, 180, 261, 13, 94, 175, 256)(9, 90, 171, 252, 23, 104, 185, 266, 15, 96, 177, 258)(11, 92, 173, 254, 25, 106, 187, 268, 27, 108, 189, 270)(14, 95, 176, 257, 30, 111, 192, 273, 31, 112, 193, 274)(16, 97, 178, 259, 33, 114, 195, 276, 21, 102, 183, 264)(17, 98, 179, 260, 19, 100, 181, 262, 35, 116, 197, 278)(20, 101, 182, 263, 38, 119, 200, 281, 39, 120, 201, 282)(22, 103, 184, 265, 24, 105, 186, 267, 42, 123, 204, 285)(26, 107, 188, 269, 48, 129, 210, 291, 28, 109, 190, 271)(29, 110, 191, 272, 51, 132, 213, 294, 46, 127, 208, 289)(32, 113, 194, 275, 55, 136, 217, 298, 53, 134, 215, 296)(34, 115, 196, 277, 58, 139, 220, 301, 36, 117, 198, 279)(37, 118, 199, 280, 54, 135, 216, 297, 61, 142, 223, 304)(40, 121, 202, 283, 65, 146, 227, 308, 63, 144, 225, 306)(41, 122, 203, 284, 67, 148, 229, 310, 43, 124, 205, 286)(44, 125, 206, 287, 64, 145, 226, 307, 60, 141, 222, 303)(45, 126, 207, 288, 70, 151, 232, 313, 71, 152, 233, 314)(47, 128, 209, 290, 49, 130, 211, 292, 69, 150, 231, 312)(50, 131, 212, 293, 75, 156, 237, 318, 56, 137, 218, 299)(52, 133, 214, 295, 76, 157, 238, 319, 77, 158, 239, 320)(57, 138, 219, 300, 59, 140, 221, 302, 79, 160, 241, 322)(62, 143, 224, 305, 80, 161, 242, 323, 72, 153, 234, 315)(66, 147, 228, 309, 68, 149, 230, 311, 78, 159, 240, 321)(73, 154, 235, 316, 81, 162, 243, 324, 74, 155, 236, 317)
	L = (1, 83)(2, 86)(3, 92)(4, 95)(5, 82)(6, 98)(7, 87)(8, 101)(9, 103)(10, 90)(11, 94)(12, 97)(13, 84)(14, 96)(15, 85)(16, 109)(17, 88)(18, 110)(19, 118)(20, 102)(21, 89)(22, 91)(23, 113)(24, 125)(25, 126)(26, 128)(27, 107)(28, 93)(29, 117)(30, 133)(31, 100)(32, 124)(33, 121)(34, 138)(35, 115)(36, 99)(37, 112)(38, 143)(39, 105)(40, 137)(41, 147)(42, 122)(43, 104)(44, 120)(45, 127)(46, 106)(47, 108)(48, 131)(49, 136)(50, 155)(51, 153)(52, 134)(53, 111)(54, 146)(55, 152)(56, 114)(57, 116)(58, 141)(59, 156)(60, 149)(61, 140)(62, 144)(63, 119)(64, 132)(65, 158)(66, 123)(67, 150)(68, 139)(69, 154)(70, 157)(71, 130)(72, 145)(73, 148)(74, 129)(75, 142)(76, 161)(77, 135)(78, 162)(79, 159)(80, 151)(81, 160)(163, 246)(164, 247)(165, 249)(166, 252)(167, 251)(168, 244)(169, 262)(170, 259)(171, 245)(172, 267)(173, 255)(174, 269)(175, 268)(176, 250)(177, 273)(178, 248)(179, 261)(180, 277)(181, 257)(182, 253)(183, 281)(184, 266)(185, 284)(186, 263)(187, 272)(188, 254)(189, 292)(190, 276)(191, 256)(192, 275)(193, 297)(194, 258)(195, 293)(196, 260)(197, 302)(198, 294)(199, 278)(200, 283)(201, 307)(202, 264)(203, 265)(204, 311)(205, 298)(206, 285)(207, 270)(208, 313)(209, 291)(210, 316)(211, 288)(212, 271)(213, 303)(214, 274)(215, 319)(216, 295)(217, 312)(218, 308)(219, 301)(220, 321)(221, 280)(222, 279)(223, 299)(224, 282)(225, 323)(226, 305)(227, 304)(228, 310)(229, 324)(230, 287)(231, 286)(232, 315)(233, 296)(234, 289)(235, 290)(236, 318)(237, 322)(238, 314)(239, 306)(240, 300)(241, 317)(242, 320)(243, 309)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2061
Transitivity :: VT+
Graph::
	v = 27 e = 162 f = 81
	degree seq :: [ 12^27 ]

E28.2066 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 3, 3})
Quotient :: loop^2
Aut^+ = (C9 x C3) : C3 (small group id <81, 9>)
Aut   = ((C9 x C3) : C3) : C2 (small group id <162, 21>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2, Y2^3, Y3^3, Y1^3, (R * Y3)^2, R * Y1 * R * Y2, Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1, (Y1^-1 * Y3^-1 * Y2^-1)^3, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 82, 163, 244, 3, 84, 165, 246, 5, 86, 167, 248)(2, 83, 164, 245, 6, 87, 168, 249, 7, 88, 169, 250)(4, 85, 166, 247, 10, 91, 172, 253, 11, 92, 173, 254)(8, 89, 170, 251, 18, 99, 180, 261, 19, 100, 181, 262)(9, 90, 171, 252, 16, 97, 178, 259, 20, 101, 182, 263)(12, 93, 174, 255, 25, 106, 187, 268, 22, 103, 184, 265)(13, 94, 175, 256, 26, 107, 188, 269, 27, 108, 189, 270)(14, 95, 176, 257, 28, 109, 190, 271, 29, 110, 191, 272)(15, 96, 177, 258, 23, 104, 185, 266, 30, 111, 192, 273)(17, 98, 179, 260, 31, 112, 193, 274, 32, 113, 194, 275)(21, 102, 183, 264, 38, 119, 200, 281, 39, 120, 201, 282)(24, 105, 186, 267, 40, 121, 202, 283, 41, 122, 203, 284)(33, 114, 195, 276, 53, 134, 215, 296, 54, 135, 216, 297)(34, 115, 196, 277, 36, 117, 198, 279, 55, 136, 217, 298)(35, 116, 197, 278, 56, 137, 218, 299, 57, 138, 219, 300)(37, 118, 199, 280, 51, 132, 213, 294, 58, 139, 220, 301)(42, 123, 204, 285, 64, 145, 226, 307, 60, 141, 222, 303)(43, 124, 205, 286, 44, 125, 206, 287, 65, 146, 227, 308)(45, 126, 207, 288, 66, 147, 228, 309, 67, 148, 229, 310)(46, 127, 208, 289, 68, 149, 230, 311, 69, 150, 231, 312)(47, 128, 209, 290, 49, 130, 211, 292, 70, 151, 232, 313)(48, 129, 210, 291, 71, 152, 233, 314, 72, 153, 234, 315)(50, 131, 212, 293, 62, 143, 224, 305, 73, 154, 235, 316)(52, 133, 214, 295, 74, 155, 236, 317, 75, 156, 237, 318)(59, 140, 221, 302, 76, 157, 238, 319, 77, 158, 239, 320)(61, 142, 223, 304, 78, 159, 240, 321, 79, 160, 241, 322)(63, 144, 225, 306, 80, 161, 242, 323, 81, 162, 243, 324)
	L = (1, 83)(2, 85)(3, 89)(4, 82)(5, 93)(6, 95)(7, 97)(8, 90)(9, 84)(10, 102)(11, 104)(12, 94)(13, 86)(14, 96)(15, 87)(16, 98)(17, 88)(18, 114)(19, 107)(20, 117)(21, 103)(22, 91)(23, 105)(24, 92)(25, 123)(26, 116)(27, 125)(28, 127)(29, 112)(30, 130)(31, 129)(32, 132)(33, 115)(34, 99)(35, 100)(36, 118)(37, 101)(38, 140)(39, 121)(40, 142)(41, 143)(42, 124)(43, 106)(44, 126)(45, 108)(46, 128)(47, 109)(48, 110)(49, 131)(50, 111)(51, 133)(52, 113)(53, 149)(54, 137)(55, 158)(56, 151)(57, 147)(58, 160)(59, 141)(60, 119)(61, 120)(62, 144)(63, 122)(64, 150)(65, 153)(66, 154)(67, 156)(68, 157)(69, 152)(70, 135)(71, 145)(72, 155)(73, 138)(74, 146)(75, 162)(76, 134)(77, 159)(78, 136)(79, 161)(80, 139)(81, 148)(163, 245)(164, 247)(165, 251)(166, 244)(167, 255)(168, 257)(169, 259)(170, 252)(171, 246)(172, 264)(173, 266)(174, 256)(175, 248)(176, 258)(177, 249)(178, 260)(179, 250)(180, 276)(181, 269)(182, 279)(183, 265)(184, 253)(185, 267)(186, 254)(187, 285)(188, 278)(189, 287)(190, 289)(191, 274)(192, 292)(193, 291)(194, 294)(195, 277)(196, 261)(197, 262)(198, 280)(199, 263)(200, 302)(201, 283)(202, 304)(203, 305)(204, 286)(205, 268)(206, 288)(207, 270)(208, 290)(209, 271)(210, 272)(211, 293)(212, 273)(213, 295)(214, 275)(215, 311)(216, 299)(217, 320)(218, 313)(219, 309)(220, 322)(221, 303)(222, 281)(223, 282)(224, 306)(225, 284)(226, 312)(227, 315)(228, 316)(229, 318)(230, 319)(231, 314)(232, 297)(233, 307)(234, 317)(235, 300)(236, 308)(237, 324)(238, 296)(239, 321)(240, 298)(241, 323)(242, 301)(243, 310)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2062
Transitivity :: VT+
Graph::
	v = 27 e = 162 f = 81
	degree seq :: [ 12^27 ]

E28.2067 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 3, 3})
Quotient :: dipole
Aut^+ = (C9 x C3) : C3 (small group id <81, 9>)
Aut   = ((C9 x C3) : C3) : C2 (small group id <162, 21>)
|r| :: 2
Presentation :: [ R^2, Y2^-3, Y2^3, Y3^3, Y1^3, (Y3, Y2), (Y2^-1, Y1^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1)^3, Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 82, 2, 83, 5, 86)(3, 84, 8, 89, 13, 94)(4, 85, 15, 96, 16, 97)(6, 87, 10, 91, 19, 100)(7, 88, 22, 103, 23, 104)(9, 90, 26, 107, 27, 108)(11, 92, 30, 111, 31, 112)(12, 93, 32, 113, 33, 114)(14, 95, 36, 117, 37, 118)(17, 98, 39, 120, 42, 123)(18, 99, 44, 125, 45, 126)(20, 101, 48, 129, 38, 119)(21, 102, 49, 130, 50, 131)(24, 105, 54, 135, 55, 136)(25, 106, 56, 137, 57, 138)(28, 109, 58, 139, 60, 141)(29, 110, 41, 122, 62, 143)(34, 115, 67, 148, 52, 133)(35, 116, 68, 149, 65, 146)(40, 121, 71, 152, 74, 155)(43, 124, 76, 157, 51, 132)(46, 127, 77, 158, 70, 151)(47, 128, 59, 140, 72, 153)(53, 134, 81, 162, 73, 154)(61, 142, 69, 150, 63, 144)(64, 145, 66, 147, 80, 161)(75, 156, 79, 160, 78, 159)(163, 244, 165, 246, 168, 249)(164, 245, 170, 251, 172, 253)(166, 247, 174, 255, 179, 260)(167, 248, 175, 256, 181, 262)(169, 250, 176, 257, 183, 264)(171, 252, 186, 267, 190, 271)(173, 254, 187, 268, 191, 272)(177, 258, 194, 275, 201, 282)(178, 259, 195, 276, 204, 285)(180, 261, 196, 277, 208, 289)(182, 263, 197, 278, 209, 290)(184, 265, 198, 279, 211, 292)(185, 266, 199, 280, 212, 293)(188, 269, 216, 297, 220, 301)(189, 270, 217, 298, 222, 303)(192, 273, 218, 299, 203, 284)(193, 274, 219, 300, 224, 305)(200, 281, 227, 308, 234, 315)(202, 283, 228, 309, 235, 316)(205, 286, 225, 306, 237, 318)(206, 287, 229, 310, 239, 320)(207, 288, 214, 295, 232, 313)(210, 291, 230, 311, 221, 302)(213, 294, 231, 312, 240, 321)(215, 296, 233, 314, 242, 323)(223, 304, 241, 322, 238, 319)(226, 307, 243, 324, 236, 317)
	L = (1, 166)(2, 171)(3, 174)(4, 169)(5, 180)(6, 179)(7, 163)(8, 186)(9, 173)(10, 190)(11, 164)(12, 176)(13, 196)(14, 165)(15, 200)(16, 203)(17, 183)(18, 182)(19, 208)(20, 167)(21, 168)(22, 213)(23, 215)(24, 187)(25, 170)(26, 185)(27, 221)(28, 191)(29, 172)(30, 225)(31, 226)(32, 227)(33, 192)(34, 197)(35, 175)(36, 231)(37, 233)(38, 202)(39, 234)(40, 177)(41, 205)(42, 218)(43, 178)(44, 193)(45, 211)(46, 209)(47, 181)(48, 241)(49, 240)(50, 242)(51, 214)(52, 184)(53, 188)(54, 199)(55, 210)(56, 237)(57, 243)(58, 212)(59, 223)(60, 230)(61, 189)(62, 236)(63, 195)(64, 206)(65, 228)(66, 194)(67, 219)(68, 238)(69, 232)(70, 198)(71, 216)(72, 235)(73, 201)(74, 239)(75, 204)(76, 222)(77, 224)(78, 207)(79, 217)(80, 220)(81, 229)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2070
Graph:: simple bipartite
	v = 54 e = 162 f = 54
	degree seq :: [ 6^54 ]

E28.2068 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 3, 3})
Quotient :: dipole
Aut^+ = (C9 x C3) : C3 (small group id <81, 9>)
Aut   = ((C9 x C3) : C3) : C2 (small group id <162, 21>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2^3, Y1^3, Y3^3, (Y3^-1, Y1^-1), (Y3^-1, Y2), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, (Y2^-1 * Y1)^3, Y1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2, Y1 * Y2 * Y1^-1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y1^-1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 82, 2, 83, 5, 86)(3, 84, 12, 93, 14, 95)(4, 85, 9, 90, 16, 97)(6, 87, 21, 102, 22, 103)(7, 88, 11, 92, 20, 101)(8, 89, 24, 105, 26, 107)(10, 91, 29, 110, 30, 111)(13, 94, 33, 114, 36, 117)(15, 96, 35, 116, 38, 119)(17, 98, 41, 122, 42, 123)(18, 99, 43, 124, 44, 125)(19, 100, 46, 127, 47, 128)(23, 104, 50, 131, 53, 134)(25, 106, 52, 133, 56, 137)(27, 108, 55, 136, 58, 139)(28, 109, 59, 140, 60, 141)(31, 112, 61, 142, 64, 145)(32, 113, 48, 129, 65, 146)(34, 115, 51, 132, 68, 149)(37, 118, 71, 152, 72, 153)(39, 120, 63, 144, 74, 155)(40, 121, 75, 156, 66, 147)(45, 126, 78, 159, 79, 160)(49, 130, 73, 154, 80, 161)(54, 135, 62, 143, 69, 150)(57, 138, 81, 162, 70, 151)(67, 148, 76, 157, 77, 158)(163, 244, 165, 246, 168, 249)(164, 245, 170, 251, 172, 253)(166, 247, 175, 256, 179, 260)(167, 248, 180, 261, 181, 262)(169, 250, 177, 258, 185, 266)(171, 252, 187, 268, 190, 271)(173, 254, 189, 270, 193, 274)(174, 255, 194, 275, 196, 277)(176, 257, 191, 272, 199, 280)(178, 259, 201, 282, 202, 283)(182, 263, 207, 288, 210, 291)(183, 264, 211, 292, 206, 287)(184, 265, 213, 294, 214, 295)(186, 267, 215, 296, 216, 297)(188, 269, 208, 289, 219, 300)(192, 273, 224, 305, 225, 306)(195, 276, 209, 290, 229, 310)(197, 278, 228, 309, 231, 312)(198, 279, 221, 302, 232, 313)(200, 281, 223, 304, 235, 316)(203, 284, 234, 315, 236, 317)(204, 285, 238, 319, 217, 298)(205, 286, 226, 307, 239, 320)(212, 293, 243, 324, 241, 322)(218, 299, 237, 318, 242, 323)(220, 301, 227, 308, 233, 314)(222, 303, 230, 311, 240, 321)
	L = (1, 166)(2, 171)(3, 175)(4, 169)(5, 178)(6, 179)(7, 163)(8, 187)(9, 173)(10, 190)(11, 164)(12, 195)(13, 177)(14, 198)(15, 165)(16, 182)(17, 185)(18, 201)(19, 202)(20, 167)(21, 203)(22, 204)(23, 168)(24, 214)(25, 189)(26, 218)(27, 170)(28, 193)(29, 221)(30, 222)(31, 172)(32, 209)(33, 197)(34, 229)(35, 174)(36, 200)(37, 232)(38, 176)(39, 207)(40, 210)(41, 212)(42, 215)(43, 225)(44, 236)(45, 180)(46, 237)(47, 228)(48, 181)(49, 234)(50, 183)(51, 238)(52, 217)(53, 184)(54, 213)(55, 186)(56, 220)(57, 242)(58, 188)(59, 223)(60, 226)(61, 191)(62, 230)(63, 240)(64, 192)(65, 208)(66, 194)(67, 231)(68, 239)(69, 196)(70, 235)(71, 219)(72, 243)(73, 199)(74, 241)(75, 227)(76, 216)(77, 224)(78, 205)(79, 206)(80, 233)(81, 211)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 54 e = 162 f = 54
	degree seq :: [ 6^54 ]

E28.2069 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 3, 3})
Quotient :: dipole
Aut^+ = (C9 x C3) : C3 (small group id <81, 9>)
Aut   = ((C9 x C3) : C3) : C2 (small group id <162, 21>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2, Y3 * Y2^-2, Y1^3, R * Y2 * R * Y3^-1, (R * Y1)^2, (Y3^-1 * Y1^-1)^3, Y1^-1 * Y3 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1, Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y3 * Y1^-1 * Y2^-1, Y2 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y1^-1 * Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y1 * Y3^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 82, 2, 83, 5, 86)(3, 84, 8, 89, 9, 90)(4, 85, 10, 91, 11, 92)(6, 87, 14, 95, 15, 96)(7, 88, 16, 97, 17, 98)(12, 93, 25, 106, 22, 103)(13, 94, 26, 107, 27, 108)(18, 99, 33, 114, 34, 115)(19, 100, 23, 104, 35, 116)(20, 101, 36, 117, 37, 118)(21, 102, 38, 119, 39, 120)(24, 105, 40, 121, 41, 122)(28, 109, 46, 127, 47, 128)(29, 110, 31, 112, 48, 129)(30, 111, 49, 130, 50, 131)(32, 113, 51, 132, 52, 133)(42, 123, 64, 145, 60, 141)(43, 124, 44, 125, 65, 146)(45, 126, 66, 147, 67, 148)(53, 134, 68, 149, 76, 157)(54, 135, 56, 137, 70, 151)(55, 136, 77, 158, 78, 159)(57, 138, 62, 143, 73, 154)(58, 139, 79, 160, 80, 161)(59, 140, 69, 150, 71, 152)(61, 142, 72, 153, 74, 155)(63, 144, 75, 156, 81, 162)(163, 244, 165, 246, 166, 247)(164, 245, 168, 249, 169, 250)(167, 248, 174, 255, 175, 256)(170, 251, 180, 261, 181, 262)(171, 252, 178, 259, 182, 263)(172, 253, 183, 264, 184, 265)(173, 254, 185, 266, 186, 267)(176, 257, 190, 271, 191, 272)(177, 258, 188, 269, 192, 273)(179, 260, 193, 274, 194, 275)(187, 268, 204, 285, 205, 286)(189, 270, 206, 287, 207, 288)(195, 276, 215, 296, 216, 297)(196, 277, 198, 279, 217, 298)(197, 278, 218, 299, 219, 300)(199, 280, 213, 294, 220, 301)(200, 281, 221, 302, 222, 303)(201, 282, 202, 283, 223, 304)(203, 284, 224, 305, 225, 306)(208, 289, 230, 311, 231, 312)(209, 290, 211, 292, 232, 313)(210, 291, 233, 314, 234, 315)(212, 293, 228, 309, 235, 316)(214, 295, 236, 317, 237, 318)(226, 307, 238, 319, 239, 320)(227, 308, 240, 321, 241, 322)(229, 310, 242, 323, 243, 324)
	L = (1, 166)(2, 169)(3, 163)(4, 165)(5, 175)(6, 164)(7, 168)(8, 181)(9, 182)(10, 184)(11, 186)(12, 167)(13, 174)(14, 191)(15, 192)(16, 171)(17, 194)(18, 170)(19, 180)(20, 178)(21, 172)(22, 183)(23, 173)(24, 185)(25, 205)(26, 177)(27, 207)(28, 176)(29, 190)(30, 188)(31, 179)(32, 193)(33, 216)(34, 217)(35, 219)(36, 196)(37, 220)(38, 222)(39, 223)(40, 201)(41, 225)(42, 187)(43, 204)(44, 189)(45, 206)(46, 231)(47, 232)(48, 234)(49, 209)(50, 235)(51, 199)(52, 237)(53, 195)(54, 215)(55, 198)(56, 197)(57, 218)(58, 213)(59, 200)(60, 221)(61, 202)(62, 203)(63, 224)(64, 239)(65, 241)(66, 212)(67, 243)(68, 208)(69, 230)(70, 211)(71, 210)(72, 233)(73, 228)(74, 214)(75, 236)(76, 226)(77, 238)(78, 227)(79, 240)(80, 229)(81, 242)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 54 e = 162 f = 54
	degree seq :: [ 6^54 ]

E28.2070 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 3, 3})
Quotient :: dipole
Aut^+ = (C9 x C3) : C3 (small group id <81, 9>)
Aut   = ((C9 x C3) : C3) : C2 (small group id <162, 21>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3^3, Y1^3, (Y3, Y2^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3 * Y1^-1 * Y3^-1 * Y2 * Y1 * Y2^-1, Y3 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1^-1, (Y2^-1 * Y1^-1)^3, (Y3^-1 * Y1^-1)^3, Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1 * Y2, Y2 * Y1 * Y3 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 82, 2, 83, 5, 86)(3, 84, 12, 93, 14, 95)(4, 85, 16, 97, 17, 98)(6, 87, 23, 104, 24, 105)(7, 88, 26, 107, 27, 108)(8, 89, 28, 109, 30, 111)(9, 90, 32, 113, 33, 114)(10, 91, 35, 116, 36, 117)(11, 92, 38, 119, 39, 120)(13, 94, 44, 125, 45, 126)(15, 96, 31, 112, 49, 130)(18, 99, 34, 115, 53, 134)(19, 100, 54, 135, 56, 137)(20, 101, 57, 138, 58, 139)(21, 102, 59, 140, 40, 121)(22, 103, 61, 142, 50, 131)(25, 106, 68, 149, 69, 150)(29, 110, 46, 127, 72, 153)(37, 118, 67, 148, 80, 161)(41, 122, 55, 136, 73, 154)(42, 123, 71, 152, 78, 159)(43, 124, 66, 147, 77, 158)(47, 128, 76, 157, 62, 143)(48, 129, 74, 155, 70, 151)(51, 132, 65, 146, 81, 162)(52, 133, 75, 156, 63, 144)(60, 141, 79, 160, 64, 145)(163, 244, 165, 246, 168, 249)(164, 245, 170, 251, 172, 253)(166, 247, 175, 256, 180, 261)(167, 248, 181, 262, 183, 264)(169, 250, 177, 258, 187, 268)(171, 252, 191, 272, 196, 277)(173, 254, 193, 274, 199, 280)(174, 255, 202, 283, 204, 285)(176, 257, 208, 289, 209, 290)(178, 259, 203, 284, 213, 294)(179, 260, 200, 281, 214, 295)(182, 263, 217, 298, 215, 296)(184, 265, 211, 292, 222, 303)(185, 266, 224, 305, 226, 307)(186, 267, 227, 308, 190, 271)(188, 269, 232, 313, 220, 301)(189, 270, 233, 314, 229, 310)(192, 273, 235, 316, 236, 317)(194, 275, 207, 288, 228, 309)(195, 276, 223, 304, 238, 319)(197, 278, 210, 291, 231, 312)(198, 279, 239, 320, 216, 297)(201, 282, 243, 324, 241, 322)(205, 286, 230, 311, 212, 293)(206, 287, 225, 306, 218, 299)(219, 300, 234, 315, 240, 321)(221, 302, 237, 318, 242, 323)
	L = (1, 166)(2, 171)(3, 175)(4, 169)(5, 182)(6, 180)(7, 163)(8, 191)(9, 173)(10, 196)(11, 164)(12, 203)(13, 177)(14, 200)(15, 165)(16, 212)(17, 197)(18, 187)(19, 217)(20, 184)(21, 215)(22, 167)(23, 225)(24, 228)(25, 168)(26, 224)(27, 227)(28, 207)(29, 193)(30, 223)(31, 170)(32, 189)(33, 221)(34, 199)(35, 209)(36, 240)(37, 172)(38, 210)(39, 239)(40, 213)(41, 205)(42, 178)(43, 174)(44, 232)(45, 233)(46, 214)(47, 179)(48, 176)(49, 181)(50, 204)(51, 230)(52, 231)(53, 222)(54, 234)(55, 211)(56, 188)(57, 201)(58, 185)(59, 236)(60, 183)(61, 237)(62, 218)(63, 220)(64, 206)(65, 194)(66, 229)(67, 186)(68, 202)(69, 208)(70, 226)(71, 190)(72, 243)(73, 238)(74, 195)(75, 192)(76, 242)(77, 219)(78, 241)(79, 198)(80, 235)(81, 216)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2067
Graph:: simple bipartite
	v = 54 e = 162 f = 54
	degree seq :: [ 6^54 ]

E28.2071 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 3, 3})
Quotient :: dipole
Aut^+ = (C9 x C3) : C3 (small group id <81, 9>)
Aut   = ((C9 x C3) : C3) : C2 (small group id <162, 21>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3^3, Y1^3, (Y2^-1, Y3^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1^-1 * Y3^-1 * Y2^-1 * Y1 * Y2, Y3^-1 * Y1^-1 * Y3 * Y2 * Y1 * Y2^-1, Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y3^-1, (Y3^-1 * Y1^-1)^3, (Y2 * Y1^-1)^3, Y1 * Y3 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y2, Y3^-1 * Y1^-1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 82, 2, 83, 5, 86)(3, 84, 12, 93, 14, 95)(4, 85, 16, 97, 17, 98)(6, 87, 23, 104, 24, 105)(7, 88, 26, 107, 27, 108)(8, 89, 28, 109, 30, 111)(9, 90, 32, 113, 33, 114)(10, 91, 35, 116, 36, 117)(11, 92, 38, 119, 39, 120)(13, 94, 29, 110, 44, 125)(15, 96, 48, 129, 49, 130)(18, 99, 56, 137, 57, 138)(19, 100, 58, 139, 59, 140)(20, 101, 61, 142, 43, 124)(21, 102, 63, 144, 64, 145)(22, 103, 66, 147, 51, 132)(25, 106, 37, 118, 65, 146)(31, 112, 47, 128, 75, 156)(34, 115, 68, 149, 78, 159)(40, 121, 60, 141, 74, 155)(41, 122, 54, 135, 80, 161)(42, 123, 55, 136, 76, 157)(45, 126, 73, 154, 67, 148)(46, 127, 81, 162, 50, 131)(52, 133, 62, 143, 79, 160)(53, 134, 71, 152, 72, 153)(69, 150, 77, 158, 70, 151)(163, 244, 165, 246, 168, 249)(164, 245, 170, 251, 172, 253)(166, 247, 175, 256, 180, 261)(167, 248, 181, 262, 183, 264)(169, 250, 177, 258, 187, 268)(171, 252, 191, 272, 196, 277)(173, 254, 193, 274, 199, 280)(174, 255, 202, 283, 204, 285)(176, 257, 197, 278, 208, 289)(178, 259, 212, 293, 214, 295)(179, 260, 216, 297, 200, 281)(182, 263, 206, 287, 224, 305)(184, 265, 222, 303, 227, 308)(185, 266, 215, 296, 221, 302)(186, 267, 217, 298, 230, 311)(188, 269, 205, 286, 232, 313)(189, 270, 209, 290, 233, 314)(190, 271, 211, 292, 231, 312)(192, 273, 225, 306, 235, 316)(194, 275, 207, 288, 219, 300)(195, 276, 238, 319, 228, 309)(198, 279, 239, 320, 241, 322)(201, 282, 236, 317, 243, 324)(203, 284, 218, 299, 226, 307)(210, 291, 229, 310, 213, 294)(220, 301, 237, 318, 242, 323)(223, 304, 234, 315, 240, 321)
	L = (1, 166)(2, 171)(3, 175)(4, 169)(5, 182)(6, 180)(7, 163)(8, 191)(9, 173)(10, 196)(11, 164)(12, 203)(13, 177)(14, 207)(15, 165)(16, 213)(17, 190)(18, 187)(19, 206)(20, 184)(21, 224)(22, 167)(23, 214)(24, 200)(25, 168)(26, 204)(27, 208)(28, 217)(29, 193)(30, 234)(31, 170)(32, 189)(33, 220)(34, 199)(35, 219)(36, 228)(37, 172)(38, 231)(39, 235)(40, 218)(41, 205)(42, 226)(43, 174)(44, 222)(45, 209)(46, 194)(47, 176)(48, 221)(49, 230)(50, 210)(51, 215)(52, 229)(53, 178)(54, 211)(55, 179)(56, 232)(57, 233)(58, 239)(59, 212)(60, 181)(61, 201)(62, 227)(63, 240)(64, 188)(65, 183)(66, 242)(67, 185)(68, 216)(69, 186)(70, 202)(71, 197)(72, 236)(73, 223)(74, 192)(75, 241)(76, 237)(77, 195)(78, 243)(79, 238)(80, 198)(81, 225)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 54 e = 162 f = 54
	degree seq :: [ 6^54 ]

E28.2072 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 3, 3})
Quotient :: dipole
Aut^+ = (C9 x C3) : C3 (small group id <81, 9>)
Aut   = ((C9 x C3) : C3) : C2 (small group id <162, 21>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, Y3^3, (Y3, Y2^-1), (R * Y3)^2, (Y2 * R)^2, (R * Y1)^2, (Y2 * Y1^-1)^3, Y3^-1 * Y1^-1 * Y3 * Y2 * Y1 * Y2^-1, Y1^-1 * Y3^-1 * Y2^-1 * Y1 * Y2 * Y3, Y3 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y3^-1 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 82, 2, 83, 5, 86)(3, 84, 12, 93, 14, 95)(4, 85, 16, 97, 17, 98)(6, 87, 23, 104, 24, 105)(7, 88, 26, 107, 27, 108)(8, 89, 28, 109, 30, 111)(9, 90, 32, 113, 33, 114)(10, 91, 35, 116, 36, 117)(11, 92, 38, 119, 39, 120)(13, 94, 29, 110, 44, 125)(15, 96, 48, 129, 49, 130)(18, 99, 57, 138, 58, 139)(19, 100, 59, 140, 60, 141)(20, 101, 62, 143, 40, 121)(21, 102, 64, 145, 43, 124)(22, 103, 66, 147, 51, 132)(25, 106, 37, 118, 65, 146)(31, 112, 47, 128, 75, 156)(34, 115, 55, 136, 79, 160)(41, 122, 54, 135, 78, 159)(42, 123, 56, 137, 80, 161)(45, 126, 81, 162, 53, 134)(46, 127, 72, 153, 67, 148)(50, 131, 71, 152, 73, 154)(52, 133, 63, 144, 77, 158)(61, 142, 74, 155, 70, 151)(68, 149, 76, 157, 69, 150)(163, 244, 165, 246, 168, 249)(164, 245, 170, 251, 172, 253)(166, 247, 175, 256, 180, 261)(167, 248, 181, 262, 183, 264)(169, 250, 177, 258, 187, 268)(171, 252, 191, 272, 196, 277)(173, 254, 193, 274, 199, 280)(174, 255, 202, 283, 204, 285)(176, 257, 197, 278, 208, 289)(178, 259, 212, 293, 214, 295)(179, 260, 216, 297, 190, 271)(182, 263, 206, 287, 225, 306)(184, 265, 223, 304, 227, 308)(185, 266, 215, 296, 222, 303)(186, 267, 218, 299, 200, 281)(188, 269, 205, 286, 231, 312)(189, 270, 209, 290, 233, 314)(192, 273, 226, 307, 235, 316)(194, 275, 207, 288, 220, 301)(195, 276, 238, 319, 221, 302)(198, 279, 240, 321, 228, 309)(201, 282, 236, 317, 243, 324)(203, 284, 219, 300, 232, 313)(210, 291, 229, 310, 213, 294)(211, 292, 230, 311, 217, 298)(224, 305, 234, 315, 241, 322)(237, 318, 242, 323, 239, 320)
	L = (1, 166)(2, 171)(3, 175)(4, 169)(5, 182)(6, 180)(7, 163)(8, 191)(9, 173)(10, 196)(11, 164)(12, 203)(13, 177)(14, 207)(15, 165)(16, 213)(17, 217)(18, 187)(19, 206)(20, 184)(21, 225)(22, 167)(23, 214)(24, 190)(25, 168)(26, 204)(27, 208)(28, 230)(29, 193)(30, 234)(31, 170)(32, 189)(33, 239)(34, 199)(35, 220)(36, 221)(37, 172)(38, 216)(39, 235)(40, 219)(41, 205)(42, 232)(43, 174)(44, 223)(45, 209)(46, 194)(47, 176)(48, 222)(49, 200)(50, 210)(51, 215)(52, 229)(53, 178)(54, 211)(55, 218)(56, 179)(57, 231)(58, 233)(59, 242)(60, 212)(61, 181)(62, 201)(63, 227)(64, 241)(65, 183)(66, 238)(67, 185)(68, 186)(69, 202)(70, 188)(71, 197)(72, 236)(73, 224)(74, 192)(75, 228)(76, 237)(77, 240)(78, 195)(79, 243)(80, 198)(81, 226)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 54 e = 162 f = 54
	degree seq :: [ 6^54 ]

E28.2073 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 3, 3})
Quotient :: dipole
Aut^+ = (C9 x C3) : C3 (small group id <81, 9>)
Aut   = ((C9 x C3) : C3) : C2 (small group id <162, 21>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3^3, Y1^3, (R * Y3^-1)^2, (R * Y1)^2, Y1 * Y3^-1 * Y1 * Y3 * Y2^-1, Y3 * Y2^-1 * Y1 * Y3^-1 * Y1, Y2 * Y3^-1 * Y1^-1 * Y3 * Y1^-1, Y2^-1 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, (Y2^-1 * Y1^-1)^3, (Y1 * Y2^-1)^3, Y3^-1 * R * Y2 * R * Y3 * Y2, R * Y1 * Y2 * Y1 * R * Y2^-1, Y3 * Y2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y2, (Y3 * Y2^-1)^3, (Y3^-1 * Y1^-1)^3, Y1 * Y2 * Y1^-1 * Y3^-1 * Y2 * Y1^-1 * Y3, Y3^-1 * Y1^-1 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y2^-1, Y1 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 82, 2, 83, 5, 86)(3, 84, 12, 93, 14, 95)(4, 85, 16, 97, 18, 99)(6, 87, 24, 105, 26, 107)(7, 88, 28, 109, 30, 111)(8, 89, 32, 113, 34, 115)(9, 90, 36, 117, 38, 119)(10, 91, 39, 120, 41, 122)(11, 92, 15, 96, 44, 125)(13, 94, 49, 130, 51, 132)(17, 98, 33, 114, 50, 131)(19, 100, 21, 102, 65, 146)(20, 101, 64, 145, 67, 148)(22, 103, 61, 142, 46, 127)(23, 104, 35, 116, 59, 140)(25, 106, 72, 153, 73, 154)(27, 108, 45, 126, 48, 129)(29, 110, 57, 138, 78, 159)(31, 112, 63, 144, 68, 149)(37, 118, 66, 147, 74, 155)(40, 121, 58, 139, 79, 160)(42, 123, 70, 151, 56, 137)(43, 124, 55, 136, 62, 143)(47, 128, 75, 156, 81, 162)(52, 133, 53, 134, 60, 141)(54, 135, 80, 161, 71, 152)(69, 150, 77, 158, 76, 157)(163, 244, 165, 246, 168, 249)(164, 245, 170, 251, 172, 253)(166, 247, 179, 260, 181, 262)(167, 248, 182, 263, 184, 265)(169, 250, 191, 272, 193, 274)(171, 252, 199, 280, 180, 261)(173, 254, 205, 286, 207, 288)(174, 255, 208, 289, 209, 290)(175, 256, 212, 293, 214, 295)(176, 257, 201, 282, 216, 297)(177, 258, 218, 299, 219, 300)(178, 259, 220, 301, 222, 303)(183, 264, 213, 294, 200, 281)(185, 266, 231, 312, 232, 313)(186, 267, 233, 314, 229, 310)(187, 268, 195, 276, 236, 317)(188, 269, 237, 318, 194, 275)(189, 270, 230, 311, 204, 285)(190, 271, 210, 291, 239, 320)(192, 273, 221, 302, 206, 287)(196, 277, 223, 304, 242, 323)(197, 278, 225, 306, 217, 298)(198, 279, 215, 296, 235, 316)(202, 283, 228, 309, 211, 292)(203, 284, 243, 324, 226, 307)(224, 305, 240, 321, 238, 319)(227, 308, 234, 315, 241, 322)
	L = (1, 166)(2, 171)(3, 175)(4, 169)(5, 183)(6, 187)(7, 163)(8, 195)(9, 173)(10, 202)(11, 164)(12, 200)(13, 177)(14, 215)(15, 165)(16, 221)(17, 224)(18, 225)(19, 218)(20, 228)(21, 185)(22, 214)(23, 167)(24, 198)(25, 189)(26, 199)(27, 168)(28, 182)(29, 216)(30, 186)(31, 209)(32, 181)(33, 197)(34, 234)(35, 170)(36, 192)(37, 238)(38, 210)(39, 227)(40, 204)(41, 213)(42, 172)(43, 242)(44, 201)(45, 237)(46, 179)(47, 241)(48, 174)(49, 205)(50, 231)(51, 240)(52, 230)(53, 217)(54, 236)(55, 176)(56, 194)(57, 229)(58, 219)(59, 223)(60, 207)(61, 178)(62, 208)(63, 226)(64, 180)(65, 206)(66, 190)(67, 220)(68, 184)(69, 233)(70, 243)(71, 212)(72, 239)(73, 232)(74, 191)(75, 222)(76, 188)(77, 196)(78, 203)(79, 193)(80, 211)(81, 235)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 54 e = 162 f = 54
	degree seq :: [ 6^54 ]

E28.2074 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 3, 3})
Quotient :: dipole
Aut^+ = C3 x ((C3 x C3) : C3) (small group id <81, 12>)
Aut   = (C3 x ((C3 x C3) : C3)) : C2 (small group id <162, 46>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3^3, Y1^3, (Y1, Y3^-1), (R * Y1)^2, (R * Y3)^2, (Y2 * Y1^-1)^3, (Y2 * Y3^-1)^3, Y3^-1 * Y1 * Y2 * Y1^-1 * Y3 * Y2^-1, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1^-1 * R)^2, (Y2^-1 * Y1^-1)^3, (Y2^-1 * Y3^-1)^3, Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2, Y2 * Y3 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 82, 2, 83, 5, 86)(3, 84, 12, 93, 14, 95)(4, 85, 9, 90, 17, 98)(6, 87, 22, 103, 24, 105)(7, 88, 11, 92, 21, 102)(8, 89, 28, 109, 30, 111)(10, 91, 34, 115, 36, 117)(13, 94, 41, 122, 44, 125)(15, 96, 38, 119, 47, 128)(16, 97, 29, 110, 51, 132)(18, 99, 35, 116, 53, 134)(19, 100, 54, 135, 56, 137)(20, 101, 58, 139, 40, 121)(23, 104, 64, 145, 52, 133)(25, 106, 39, 120, 68, 149)(26, 107, 70, 151, 57, 138)(27, 108, 71, 152, 60, 141)(31, 112, 61, 142, 50, 131)(32, 113, 55, 136, 66, 147)(33, 114, 59, 140, 43, 124)(37, 118, 62, 143, 48, 129)(42, 123, 67, 148, 76, 157)(45, 126, 72, 153, 78, 159)(46, 127, 73, 154, 63, 144)(49, 130, 74, 155, 80, 161)(65, 146, 75, 156, 79, 160)(69, 150, 77, 158, 81, 162)(163, 244, 165, 246, 168, 249)(164, 245, 170, 251, 172, 253)(166, 247, 178, 259, 180, 261)(167, 248, 181, 262, 182, 263)(169, 250, 188, 269, 189, 270)(171, 252, 194, 275, 195, 276)(173, 254, 200, 281, 201, 282)(174, 255, 202, 283, 204, 285)(175, 256, 205, 286, 207, 288)(176, 257, 196, 277, 208, 289)(177, 258, 210, 291, 211, 292)(179, 260, 206, 287, 214, 295)(183, 264, 223, 304, 224, 305)(184, 265, 225, 306, 218, 299)(185, 266, 227, 308, 228, 309)(186, 267, 229, 310, 190, 271)(187, 268, 231, 312, 212, 293)(191, 272, 226, 307, 234, 315)(192, 273, 220, 301, 235, 316)(193, 274, 233, 314, 236, 317)(197, 278, 237, 318, 203, 284)(198, 279, 238, 319, 216, 297)(199, 280, 239, 320, 232, 313)(209, 290, 222, 303, 243, 324)(213, 294, 221, 302, 241, 322)(215, 296, 240, 321, 217, 298)(219, 300, 230, 311, 242, 323)
	L = (1, 166)(2, 171)(3, 175)(4, 169)(5, 179)(6, 185)(7, 163)(8, 191)(9, 173)(10, 197)(11, 164)(12, 203)(13, 177)(14, 206)(15, 165)(16, 212)(17, 183)(18, 210)(19, 217)(20, 221)(21, 167)(22, 226)(23, 187)(24, 214)(25, 168)(26, 216)(27, 220)(28, 213)(29, 193)(30, 178)(31, 170)(32, 232)(33, 233)(34, 215)(35, 199)(36, 180)(37, 172)(38, 174)(39, 184)(40, 195)(41, 200)(42, 234)(43, 189)(44, 209)(45, 231)(46, 241)(47, 176)(48, 198)(49, 235)(50, 192)(51, 223)(52, 230)(53, 224)(54, 228)(55, 219)(56, 194)(57, 181)(58, 205)(59, 222)(60, 182)(61, 190)(62, 196)(63, 237)(64, 201)(65, 211)(66, 188)(67, 240)(68, 186)(69, 238)(70, 218)(71, 202)(72, 239)(73, 227)(74, 225)(75, 236)(76, 207)(77, 204)(78, 243)(79, 242)(80, 208)(81, 229)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 54 e = 162 f = 54
	degree seq :: [ 6^54 ]

E28.2075 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {9, 9, 9})
Quotient :: edge
Aut^+ = C9 : C9 (small group id <81, 4>)
Aut   = C9 : C9 (small group id <81, 4>)
|r| :: 1
Presentation :: [ X2 * X1^-1 * X2^2 * X1, X1^-2 * X2 * X1^2 * X2^2, X2 * X1^-1 * X2^-1 * X1 * X2^3, X1^9, X1^-2 * X2^-1 * X1^-4 * X2 * X1^-1 * X2^-1 * X1^-2 * X2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 6, 18, 44, 58, 34, 13, 4)(3, 9, 25, 45, 64, 70, 53, 29, 11)(5, 15, 38, 46, 65, 76, 59, 41, 16)(7, 21, 49, 62, 74, 57, 33, 42, 17)(8, 23, 51, 63, 77, 60, 35, 28, 10)(12, 31, 24, 19, 47, 66, 73, 56, 32)(14, 36, 22, 20, 48, 68, 75, 61, 37)(26, 50, 67, 78, 81, 71, 54, 40, 27)(30, 43, 39, 52, 69, 79, 80, 72, 55)(82, 84, 91, 108, 112, 117, 124, 98, 86)(83, 88, 103, 107, 90, 96, 120, 105, 89)(85, 93, 97, 121, 123, 109, 111, 92, 95)(87, 100, 119, 131, 102, 104, 133, 106, 101)(94, 114, 118, 135, 110, 122, 136, 113, 116)(99, 126, 132, 148, 128, 129, 150, 130, 127)(115, 134, 141, 152, 137, 142, 153, 138, 140)(125, 143, 149, 159, 145, 146, 160, 147, 144)(139, 154, 157, 162, 155, 158, 161, 151, 156)
	L = (1, 82)(2, 83)(3, 84)(4, 85)(5, 86)(6, 87)(7, 88)(8, 89)(9, 90)(10, 91)(11, 92)(12, 93)(13, 94)(14, 95)(15, 96)(16, 97)(17, 98)(18, 99)(19, 100)(20, 101)(21, 102)(22, 103)(23, 104)(24, 105)(25, 106)(26, 107)(27, 108)(28, 109)(29, 110)(30, 111)(31, 112)(32, 113)(33, 114)(34, 115)(35, 116)(36, 117)(37, 118)(38, 119)(39, 120)(40, 121)(41, 122)(42, 123)(43, 124)(44, 125)(45, 126)(46, 127)(47, 128)(48, 129)(49, 130)(50, 131)(51, 132)(52, 133)(53, 134)(54, 135)(55, 136)(56, 137)(57, 138)(58, 139)(59, 140)(60, 141)(61, 142)(62, 143)(63, 144)(64, 145)(65, 146)(66, 147)(67, 148)(68, 149)(69, 150)(70, 151)(71, 152)(72, 153)(73, 154)(74, 155)(75, 156)(76, 157)(77, 158)(78, 159)(79, 160)(80, 161)(81, 162)
	local type(s) :: { ( 18^9 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 18 e = 81 f = 9
	degree seq :: [ 9^18 ]

E28.2076 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {9, 9, 9})
Quotient :: loop
Aut^+ = C9 : C9 (small group id <81, 4>)
Aut   = C9 : C9 (small group id <81, 4>)
|r| :: 1
Presentation :: [ X2 * X1^-1 * X2^2 * X1, X1^-2 * X2 * X1^2 * X2^2, X2 * X1^-1 * X2^-1 * X1 * X2^3, X1^9, X1^-2 * X2^-1 * X1^-4 * X2 * X1^-1 * X2^-1 * X1^-2 * X2 ]
Map:: polytopal non-degenerate
	R = (1, 82, 2, 83, 6, 87, 18, 99, 44, 125, 58, 139, 34, 115, 13, 94, 4, 85)(3, 84, 9, 90, 25, 106, 45, 126, 64, 145, 70, 151, 53, 134, 29, 110, 11, 92)(5, 86, 15, 96, 38, 119, 46, 127, 65, 146, 76, 157, 59, 140, 41, 122, 16, 97)(7, 88, 21, 102, 49, 130, 62, 143, 74, 155, 57, 138, 33, 114, 42, 123, 17, 98)(8, 89, 23, 104, 51, 132, 63, 144, 77, 158, 60, 141, 35, 116, 28, 109, 10, 91)(12, 93, 31, 112, 24, 105, 19, 100, 47, 128, 66, 147, 73, 154, 56, 137, 32, 113)(14, 95, 36, 117, 22, 103, 20, 101, 48, 129, 68, 149, 75, 156, 61, 142, 37, 118)(26, 107, 50, 131, 67, 148, 78, 159, 81, 162, 71, 152, 54, 135, 40, 121, 27, 108)(30, 111, 43, 124, 39, 120, 52, 133, 69, 150, 79, 160, 80, 161, 72, 153, 55, 136)
	L = (1, 84)(2, 88)(3, 91)(4, 93)(5, 82)(6, 100)(7, 103)(8, 83)(9, 96)(10, 108)(11, 95)(12, 97)(13, 114)(14, 85)(15, 120)(16, 121)(17, 86)(18, 126)(19, 119)(20, 87)(21, 104)(22, 107)(23, 133)(24, 89)(25, 101)(26, 90)(27, 112)(28, 111)(29, 122)(30, 92)(31, 117)(32, 116)(33, 118)(34, 134)(35, 94)(36, 124)(37, 135)(38, 131)(39, 105)(40, 123)(41, 136)(42, 109)(43, 98)(44, 143)(45, 132)(46, 99)(47, 129)(48, 150)(49, 127)(50, 102)(51, 148)(52, 106)(53, 141)(54, 110)(55, 113)(56, 142)(57, 140)(58, 154)(59, 115)(60, 152)(61, 153)(62, 149)(63, 125)(64, 146)(65, 160)(66, 144)(67, 128)(68, 159)(69, 130)(70, 156)(71, 137)(72, 138)(73, 157)(74, 158)(75, 139)(76, 162)(77, 161)(78, 145)(79, 147)(80, 151)(81, 155)
	local type(s) :: { ( 9^18 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph::
	v = 9 e = 81 f = 18
	degree seq :: [ 18^9 ]

E28.2077 :: Family: { 2*ex } :: Oriented family(ies): { E3c }
Signature :: (0; {9, 9, 9})
Quotient :: loop
Aut^+ = C9 : C9 (small group id <81, 4>)
Aut   = (C9 : C9) : C2 (small group id <162, 6>)
|r| :: 2
Presentation :: [ F^2, F * T1 * F * T2, T2^-2 * T1^-1 * T2^-1 * T1^-2, T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-2, T2 * T1^-1 * T2^-4 * T1^-2, T1^2 * T2^-1 * T1^-1 * T2^2 * T1^-1 * T2^-1, T1^-2 * T2 * T1^-1 * T2^5, T1^9 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 31, 70, 63, 47, 17, 5)(2, 7, 22, 58, 38, 73, 68, 26, 8)(4, 12, 37, 71, 67, 42, 57, 21, 14)(6, 19, 51, 35, 11, 33, 74, 55, 20)(9, 28, 13, 39, 75, 79, 46, 54, 29)(15, 43, 52, 30, 69, 34, 76, 48, 44)(16, 45, 61, 32, 72, 65, 24, 64, 27)(18, 49, 41, 62, 23, 60, 81, 78, 50)(25, 66, 36, 59, 40, 77, 53, 80, 56)(82, 83, 87, 99, 129, 153, 121, 94, 85)(84, 90, 108, 130, 107, 148, 158, 115, 92)(86, 96, 123, 131, 156, 114, 140, 103, 97)(88, 102, 137, 125, 136, 151, 120, 142, 104)(89, 105, 144, 157, 118, 141, 109, 132, 106)(91, 111, 95, 122, 135, 101, 134, 154, 113)(93, 117, 133, 100, 98, 127, 146, 159, 119)(110, 138, 128, 149, 155, 162, 150, 126, 147)(112, 139, 116, 143, 124, 145, 161, 160, 152)
	L = (1, 82)(2, 83)(3, 84)(4, 85)(5, 86)(6, 87)(7, 88)(8, 89)(9, 90)(10, 91)(11, 92)(12, 93)(13, 94)(14, 95)(15, 96)(16, 97)(17, 98)(18, 99)(19, 100)(20, 101)(21, 102)(22, 103)(23, 104)(24, 105)(25, 106)(26, 107)(27, 108)(28, 109)(29, 110)(30, 111)(31, 112)(32, 113)(33, 114)(34, 115)(35, 116)(36, 117)(37, 118)(38, 119)(39, 120)(40, 121)(41, 122)(42, 123)(43, 124)(44, 125)(45, 126)(46, 127)(47, 128)(48, 129)(49, 130)(50, 131)(51, 132)(52, 133)(53, 134)(54, 135)(55, 136)(56, 137)(57, 138)(58, 139)(59, 140)(60, 141)(61, 142)(62, 143)(63, 144)(64, 145)(65, 146)(66, 147)(67, 148)(68, 149)(69, 150)(70, 151)(71, 152)(72, 153)(73, 154)(74, 155)(75, 156)(76, 157)(77, 158)(78, 159)(79, 160)(80, 161)(81, 162)
	local type(s) :: { ( 18^9 ) }
Outer automorphisms :: reflexible
Dual of E28.2078
Transitivity :: ET+ VT AT
Graph:: simple bipartite
	v = 18 e = 81 f = 9
	degree seq :: [ 9^18 ]

E28.2078 :: Family: { 2ex } :: Oriented family(ies): { E3*c }
Signature :: (0; {9, 9, 9})
Quotient :: edge
Aut^+ = C9 : C9 (small group id <81, 4>)
Aut   = (C9 : C9) : C2 (small group id <162, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, T1^-1 * F * T1 * F * T2^-1, T2^2 * T1^-1 * T2 * T1, F * T1^-2 * F * T1^2 * T2^-1, T1^-2 * T2^2 * T1^2 * T2, T2^-1 * T1 * T2 * T1^-1 * T2^-3, T1^9, T1^-3 * T2^-1 * T1^-2 * T2 * T1^-2 * T2^-1 * T1^-1 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 82, 3, 84, 10, 91, 28, 109, 22, 103, 24, 105, 43, 124, 17, 98, 5, 86)(2, 83, 7, 88, 15, 96, 39, 120, 42, 123, 27, 108, 26, 107, 9, 90, 8, 89)(4, 85, 12, 93, 31, 112, 30, 111, 11, 92, 16, 97, 40, 121, 37, 118, 14, 95)(6, 87, 19, 100, 23, 104, 52, 133, 25, 106, 38, 119, 50, 131, 21, 102, 20, 101)(13, 94, 33, 114, 41, 122, 55, 136, 32, 113, 36, 117, 54, 135, 29, 110, 35, 116)(18, 99, 45, 126, 48, 129, 69, 150, 49, 130, 51, 132, 67, 148, 47, 128, 46, 127)(34, 115, 53, 134, 61, 142, 72, 153, 57, 138, 60, 141, 71, 152, 56, 137, 59, 140)(44, 125, 62, 143, 65, 146, 79, 160, 66, 147, 68, 149, 78, 159, 64, 145, 63, 144)(58, 139, 73, 154, 77, 158, 80, 161, 70, 151, 76, 157, 81, 162, 74, 155, 75, 156)
	L = (1, 83)(2, 87)(3, 90)(4, 82)(5, 96)(6, 99)(7, 102)(8, 104)(9, 106)(10, 108)(11, 84)(12, 98)(13, 85)(14, 91)(15, 119)(16, 86)(17, 123)(18, 125)(19, 128)(20, 129)(21, 130)(22, 88)(23, 132)(24, 89)(25, 126)(26, 131)(27, 101)(28, 120)(29, 92)(30, 109)(31, 105)(32, 93)(33, 118)(34, 94)(35, 112)(36, 95)(37, 103)(38, 127)(39, 133)(40, 124)(41, 97)(42, 100)(43, 107)(44, 139)(45, 145)(46, 146)(47, 147)(48, 149)(49, 143)(50, 148)(51, 144)(52, 150)(53, 110)(54, 121)(55, 111)(56, 113)(57, 114)(58, 115)(59, 122)(60, 116)(61, 117)(62, 155)(63, 158)(64, 151)(65, 157)(66, 154)(67, 159)(68, 156)(69, 160)(70, 134)(71, 135)(72, 136)(73, 137)(74, 138)(75, 142)(76, 140)(77, 141)(78, 162)(79, 161)(80, 153)(81, 152)
	local type(s) :: { ( 9^18 ) }
Outer automorphisms :: reflexible
Dual of E28.2077
Transitivity :: ET+ VT+
Graph::
	v = 9 e = 81 f = 18
	degree seq :: [ 18^9 ]

E28.2079 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {9, 9, 9})
Quotient :: edge^2
Aut^+ = C9 : C9 (small group id <81, 4>)
Aut   = (C9 : C9) : C2 (small group id <162, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y3^2 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y1 * Y3^-2, Y1^-2 * Y3 * Y2^-1 * Y1 * Y3, Y2 * Y3^-1 * Y1^-1 * Y2^-1 * Y1 * Y3, Y3^3 * Y2^-1 * Y3^-1 * Y1^-1, Y1^-1 * Y2 * Y3^-1 * Y1 * Y2^-1 * Y3, Y2 * Y1^2 * Y3 * Y2 * Y1 * Y3 * Y1^-1, Y1^9, Y2^9 ]
Map:: polytopal non-degenerate
	R = (1, 82, 4, 85, 12, 93, 32, 113, 33, 114, 38, 119, 56, 137, 22, 103, 7, 88)(2, 83, 9, 90, 26, 107, 39, 120, 51, 132, 18, 99, 25, 106, 6, 87, 11, 92)(3, 84, 5, 86, 20, 101, 49, 130, 16, 97, 17, 98, 27, 108, 46, 127, 15, 96)(8, 89, 29, 110, 24, 105, 59, 140, 23, 104, 34, 115, 37, 118, 10, 91, 31, 112)(13, 94, 14, 95, 44, 125, 50, 131, 19, 100, 21, 102, 47, 128, 48, 129, 42, 123)(28, 109, 57, 138, 36, 117, 61, 142, 35, 116, 60, 141, 66, 147, 30, 111, 58, 139)(40, 121, 41, 122, 54, 135, 55, 136, 43, 124, 45, 126, 75, 156, 52, 133, 53, 134)(62, 143, 67, 148, 65, 146, 70, 151, 64, 145, 69, 150, 81, 162, 63, 144, 68, 149)(71, 152, 72, 153, 78, 159, 79, 160, 73, 154, 74, 155, 80, 161, 76, 157, 77, 158)(163, 164, 170, 190, 224, 235, 217, 183, 167)(165, 174, 180, 193, 198, 231, 241, 207, 176)(166, 168, 185, 219, 225, 239, 205, 212, 179)(169, 188, 196, 220, 227, 233, 216, 210, 189)(171, 172, 197, 229, 240, 214, 209, 177, 195)(173, 186, 222, 230, 242, 215, 181, 211, 200)(175, 182, 184, 213, 191, 192, 226, 236, 203)(178, 194, 201, 221, 223, 232, 238, 237, 204)(187, 199, 228, 243, 234, 202, 206, 208, 218)(244, 246, 256, 283, 314, 310, 304, 267, 249)(245, 250, 260, 287, 296, 317, 313, 279, 253)(247, 259, 291, 284, 316, 311, 278, 280, 261)(248, 262, 295, 315, 312, 300, 302, 269, 265)(251, 254, 276, 289, 257, 286, 319, 308, 273)(252, 275, 292, 293, 298, 322, 307, 309, 277)(255, 258, 264, 297, 320, 324, 303, 272, 282)(263, 285, 288, 321, 305, 301, 266, 268, 281)(270, 290, 318, 323, 306, 271, 274, 294, 299)
	L = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 4^9 ), ( 4^18 ) }
Outer automorphisms :: reflexible
Dual of E28.2082
Graph:: simple bipartite
	v = 27 e = 162 f = 81
	degree seq :: [ 9^18, 18^9 ]

E28.2080 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {9, 9, 9})
Quotient :: edge^2
Aut^+ = C9 : C9 (small group id <81, 4>)
Aut   = (C9 : C9) : C2 (small group id <162, 6>)
|r| :: 2
Presentation :: [ Y3, R^2, R * Y1 * R * Y2, (R * Y3)^2, Y2^-1 * Y1^-2 * Y2^-2 * Y1^-1, Y1^-2 * Y2^-1 * Y1 * Y2^-2 * Y1^-2, Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-3 * Y1^-1, Y2^2 * Y1^-1 * Y2^-1 * Y1^2 * Y2^-1 * Y1^-1, Y2^9, Y2^-1 * Y1 * Y2^-2 * Y1^5, (Y1^-1 * Y3^-1 * Y2^-1)^9 ]
Map:: polytopal
	R = (1, 82)(2, 83)(3, 84)(4, 85)(5, 86)(6, 87)(7, 88)(8, 89)(9, 90)(10, 91)(11, 92)(12, 93)(13, 94)(14, 95)(15, 96)(16, 97)(17, 98)(18, 99)(19, 100)(20, 101)(21, 102)(22, 103)(23, 104)(24, 105)(25, 106)(26, 107)(27, 108)(28, 109)(29, 110)(30, 111)(31, 112)(32, 113)(33, 114)(34, 115)(35, 116)(36, 117)(37, 118)(38, 119)(39, 120)(40, 121)(41, 122)(42, 123)(43, 124)(44, 125)(45, 126)(46, 127)(47, 128)(48, 129)(49, 130)(50, 131)(51, 132)(52, 133)(53, 134)(54, 135)(55, 136)(56, 137)(57, 138)(58, 139)(59, 140)(60, 141)(61, 142)(62, 143)(63, 144)(64, 145)(65, 146)(66, 147)(67, 148)(68, 149)(69, 150)(70, 151)(71, 152)(72, 153)(73, 154)(74, 155)(75, 156)(76, 157)(77, 158)(78, 159)(79, 160)(80, 161)(81, 162)(163, 164, 168, 180, 210, 234, 202, 175, 166)(165, 171, 189, 211, 188, 229, 239, 196, 173)(167, 177, 204, 212, 237, 195, 221, 184, 178)(169, 183, 218, 206, 217, 232, 201, 223, 185)(170, 186, 225, 238, 199, 222, 190, 213, 187)(172, 192, 176, 203, 216, 182, 215, 235, 194)(174, 198, 214, 181, 179, 208, 227, 240, 200)(191, 219, 209, 230, 236, 243, 231, 207, 228)(193, 220, 197, 224, 205, 226, 242, 241, 233)(244, 246, 253, 274, 313, 306, 290, 260, 248)(245, 250, 265, 301, 281, 316, 311, 269, 251)(247, 255, 280, 314, 310, 285, 300, 264, 257)(249, 262, 294, 278, 254, 276, 317, 298, 263)(252, 271, 256, 282, 318, 322, 289, 297, 272)(258, 286, 295, 273, 312, 277, 319, 291, 287)(259, 288, 304, 275, 315, 308, 267, 307, 270)(261, 292, 284, 305, 266, 303, 324, 321, 293)(268, 309, 279, 302, 283, 320, 296, 323, 299)
	L = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 36, 36 ), ( 36^9 ) }
Outer automorphisms :: reflexible
Dual of E28.2081
Graph:: simple bipartite
	v = 99 e = 162 f = 9
	degree seq :: [ 2^81, 9^18 ]

E28.2081 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {9, 9, 9})
Quotient :: loop^2
Aut^+ = C9 : C9 (small group id <81, 4>)
Aut   = (C9 : C9) : C2 (small group id <162, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y3^2 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y1 * Y3^-2, Y1^-2 * Y3 * Y2^-1 * Y1 * Y3, Y2 * Y3^-1 * Y1^-1 * Y2^-1 * Y1 * Y3, Y3^3 * Y2^-1 * Y3^-1 * Y1^-1, Y1^-1 * Y2 * Y3^-1 * Y1 * Y2^-1 * Y3, Y2 * Y1^2 * Y3 * Y2 * Y1 * Y3 * Y1^-1, Y1^9, Y2^9 ]
Map::
	R = (1, 82, 163, 244, 4, 85, 166, 247, 12, 93, 174, 255, 32, 113, 194, 275, 33, 114, 195, 276, 38, 119, 200, 281, 56, 137, 218, 299, 22, 103, 184, 265, 7, 88, 169, 250)(2, 83, 164, 245, 9, 90, 171, 252, 26, 107, 188, 269, 39, 120, 201, 282, 51, 132, 213, 294, 18, 99, 180, 261, 25, 106, 187, 268, 6, 87, 168, 249, 11, 92, 173, 254)(3, 84, 165, 246, 5, 86, 167, 248, 20, 101, 182, 263, 49, 130, 211, 292, 16, 97, 178, 259, 17, 98, 179, 260, 27, 108, 189, 270, 46, 127, 208, 289, 15, 96, 177, 258)(8, 89, 170, 251, 29, 110, 191, 272, 24, 105, 186, 267, 59, 140, 221, 302, 23, 104, 185, 266, 34, 115, 196, 277, 37, 118, 199, 280, 10, 91, 172, 253, 31, 112, 193, 274)(13, 94, 175, 256, 14, 95, 176, 257, 44, 125, 206, 287, 50, 131, 212, 293, 19, 100, 181, 262, 21, 102, 183, 264, 47, 128, 209, 290, 48, 129, 210, 291, 42, 123, 204, 285)(28, 109, 190, 271, 57, 138, 219, 300, 36, 117, 198, 279, 61, 142, 223, 304, 35, 116, 197, 278, 60, 141, 222, 303, 66, 147, 228, 309, 30, 111, 192, 273, 58, 139, 220, 301)(40, 121, 202, 283, 41, 122, 203, 284, 54, 135, 216, 297, 55, 136, 217, 298, 43, 124, 205, 286, 45, 126, 207, 288, 75, 156, 237, 318, 52, 133, 214, 295, 53, 134, 215, 296)(62, 143, 224, 305, 67, 148, 229, 310, 65, 146, 227, 308, 70, 151, 232, 313, 64, 145, 226, 307, 69, 150, 231, 312, 81, 162, 243, 324, 63, 144, 225, 306, 68, 149, 230, 311)(71, 152, 233, 314, 72, 153, 234, 315, 78, 159, 240, 321, 79, 160, 241, 322, 73, 154, 235, 316, 74, 155, 236, 317, 80, 161, 242, 323, 76, 157, 238, 319, 77, 158, 239, 320)
	L = (1, 83)(2, 89)(3, 93)(4, 87)(5, 82)(6, 104)(7, 107)(8, 109)(9, 91)(10, 116)(11, 105)(12, 99)(13, 101)(14, 84)(15, 114)(16, 113)(17, 85)(18, 112)(19, 130)(20, 103)(21, 86)(22, 132)(23, 138)(24, 141)(25, 118)(26, 115)(27, 88)(28, 143)(29, 111)(30, 145)(31, 117)(32, 120)(33, 90)(34, 139)(35, 148)(36, 150)(37, 147)(38, 92)(39, 140)(40, 125)(41, 94)(42, 97)(43, 131)(44, 127)(45, 95)(46, 137)(47, 96)(48, 108)(49, 119)(50, 98)(51, 110)(52, 128)(53, 100)(54, 129)(55, 102)(56, 106)(57, 144)(58, 146)(59, 142)(60, 149)(61, 151)(62, 154)(63, 158)(64, 155)(65, 152)(66, 162)(67, 159)(68, 161)(69, 160)(70, 157)(71, 135)(72, 121)(73, 136)(74, 122)(75, 123)(76, 156)(77, 124)(78, 133)(79, 126)(80, 134)(81, 153)(163, 246)(164, 250)(165, 256)(166, 259)(167, 262)(168, 244)(169, 260)(170, 254)(171, 275)(172, 245)(173, 276)(174, 258)(175, 283)(176, 286)(177, 264)(178, 291)(179, 287)(180, 247)(181, 295)(182, 285)(183, 297)(184, 248)(185, 268)(186, 249)(187, 281)(188, 265)(189, 290)(190, 274)(191, 282)(192, 251)(193, 294)(194, 292)(195, 289)(196, 252)(197, 280)(198, 253)(199, 261)(200, 263)(201, 255)(202, 314)(203, 316)(204, 288)(205, 319)(206, 296)(207, 321)(208, 257)(209, 318)(210, 284)(211, 293)(212, 298)(213, 299)(214, 315)(215, 317)(216, 320)(217, 322)(218, 270)(219, 302)(220, 266)(221, 269)(222, 272)(223, 267)(224, 301)(225, 271)(226, 309)(227, 273)(228, 277)(229, 304)(230, 278)(231, 300)(232, 279)(233, 310)(234, 312)(235, 311)(236, 313)(237, 323)(238, 308)(239, 324)(240, 305)(241, 307)(242, 306)(243, 303)
	local type(s) :: { ( 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9 ) }
Outer automorphisms :: reflexible
Dual of E28.2080
Transitivity :: VT+
Graph::
	v = 9 e = 162 f = 99
	degree seq :: [ 36^9 ]

E28.2082 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {9, 9, 9})
Quotient :: loop^2
Aut^+ = C9 : C9 (small group id <81, 4>)
Aut   = (C9 : C9) : C2 (small group id <162, 6>)
|r| :: 2
Presentation :: [ Y3, R^2, R * Y1 * R * Y2, (R * Y3)^2, Y2^-1 * Y1^-2 * Y2^-2 * Y1^-1, Y1^-2 * Y2^-1 * Y1 * Y2^-2 * Y1^-2, Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-3 * Y1^-1, Y2^2 * Y1^-1 * Y2^-1 * Y1^2 * Y2^-1 * Y1^-1, Y2^9, Y2^-1 * Y1 * Y2^-2 * Y1^5, (Y1^-1 * Y3^-1 * Y2^-1)^9 ]
Map:: polytopal non-degenerate
	R = (1, 82, 163, 244)(2, 83, 164, 245)(3, 84, 165, 246)(4, 85, 166, 247)(5, 86, 167, 248)(6, 87, 168, 249)(7, 88, 169, 250)(8, 89, 170, 251)(9, 90, 171, 252)(10, 91, 172, 253)(11, 92, 173, 254)(12, 93, 174, 255)(13, 94, 175, 256)(14, 95, 176, 257)(15, 96, 177, 258)(16, 97, 178, 259)(17, 98, 179, 260)(18, 99, 180, 261)(19, 100, 181, 262)(20, 101, 182, 263)(21, 102, 183, 264)(22, 103, 184, 265)(23, 104, 185, 266)(24, 105, 186, 267)(25, 106, 187, 268)(26, 107, 188, 269)(27, 108, 189, 270)(28, 109, 190, 271)(29, 110, 191, 272)(30, 111, 192, 273)(31, 112, 193, 274)(32, 113, 194, 275)(33, 114, 195, 276)(34, 115, 196, 277)(35, 116, 197, 278)(36, 117, 198, 279)(37, 118, 199, 280)(38, 119, 200, 281)(39, 120, 201, 282)(40, 121, 202, 283)(41, 122, 203, 284)(42, 123, 204, 285)(43, 124, 205, 286)(44, 125, 206, 287)(45, 126, 207, 288)(46, 127, 208, 289)(47, 128, 209, 290)(48, 129, 210, 291)(49, 130, 211, 292)(50, 131, 212, 293)(51, 132, 213, 294)(52, 133, 214, 295)(53, 134, 215, 296)(54, 135, 216, 297)(55, 136, 217, 298)(56, 137, 218, 299)(57, 138, 219, 300)(58, 139, 220, 301)(59, 140, 221, 302)(60, 141, 222, 303)(61, 142, 223, 304)(62, 143, 224, 305)(63, 144, 225, 306)(64, 145, 226, 307)(65, 146, 227, 308)(66, 147, 228, 309)(67, 148, 229, 310)(68, 149, 230, 311)(69, 150, 231, 312)(70, 151, 232, 313)(71, 152, 233, 314)(72, 153, 234, 315)(73, 154, 235, 316)(74, 155, 236, 317)(75, 156, 237, 318)(76, 157, 238, 319)(77, 158, 239, 320)(78, 159, 240, 321)(79, 160, 241, 322)(80, 161, 242, 323)(81, 162, 243, 324)
	L = (1, 83)(2, 87)(3, 90)(4, 82)(5, 96)(6, 99)(7, 102)(8, 105)(9, 108)(10, 111)(11, 84)(12, 117)(13, 85)(14, 122)(15, 123)(16, 86)(17, 127)(18, 129)(19, 98)(20, 134)(21, 137)(22, 97)(23, 88)(24, 144)(25, 89)(26, 148)(27, 130)(28, 132)(29, 138)(30, 95)(31, 139)(32, 91)(33, 140)(34, 92)(35, 143)(36, 133)(37, 141)(38, 93)(39, 142)(40, 94)(41, 135)(42, 131)(43, 145)(44, 136)(45, 147)(46, 146)(47, 149)(48, 153)(49, 107)(50, 156)(51, 106)(52, 100)(53, 154)(54, 101)(55, 151)(56, 125)(57, 128)(58, 116)(59, 103)(60, 109)(61, 104)(62, 124)(63, 157)(64, 161)(65, 159)(66, 110)(67, 158)(68, 155)(69, 126)(70, 120)(71, 112)(72, 121)(73, 113)(74, 162)(75, 114)(76, 118)(77, 115)(78, 119)(79, 152)(80, 160)(81, 150)(163, 246)(164, 250)(165, 253)(166, 255)(167, 244)(168, 262)(169, 265)(170, 245)(171, 271)(172, 274)(173, 276)(174, 280)(175, 282)(176, 247)(177, 286)(178, 288)(179, 248)(180, 292)(181, 294)(182, 249)(183, 257)(184, 301)(185, 303)(186, 307)(187, 309)(188, 251)(189, 259)(190, 256)(191, 252)(192, 312)(193, 313)(194, 315)(195, 317)(196, 319)(197, 254)(198, 302)(199, 314)(200, 316)(201, 318)(202, 320)(203, 305)(204, 300)(205, 295)(206, 258)(207, 304)(208, 297)(209, 260)(210, 287)(211, 284)(212, 261)(213, 278)(214, 273)(215, 323)(216, 272)(217, 263)(218, 268)(219, 264)(220, 281)(221, 283)(222, 324)(223, 275)(224, 266)(225, 290)(226, 270)(227, 267)(228, 279)(229, 285)(230, 269)(231, 277)(232, 306)(233, 310)(234, 308)(235, 311)(236, 298)(237, 322)(238, 291)(239, 296)(240, 293)(241, 289)(242, 299)(243, 321)
	local type(s) :: { ( 9, 18, 9, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.2079
Transitivity :: VT+
Graph:: simple
	v = 81 e = 162 f = 27
	degree seq :: [ 4^81 ]

E28.2083 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {9, 9, 9})
Quotient :: edge
Aut^+ = (C9 x C3) : C3 (small group id <81, 8>)
Aut   = ((C9 x C3) : C3) : C2 (small group id <162, 20>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-3 * T1^-3, (T2 * T1^-1)^3, T1^2 * T2^3 * T1, T1 * T2 * T1 * T2 * T1^-2 * T2, (T1, T2, T1^-1), T2^2 * T1^-1 * T2^-1 * T1^-1 * T2^2 * T1^-1, T1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2 * T1, T1^-1 * T2^6 * T1^-2, T1^9 ]
Map:: non-degenerate
	R = (1, 3, 10, 31, 68, 47, 18, 17, 5)(2, 7, 22, 13, 38, 74, 46, 26, 8)(4, 12, 36, 69, 51, 20, 6, 19, 14)(9, 28, 63, 33, 40, 77, 45, 65, 29)(11, 24, 58, 79, 54, 62, 27, 61, 34)(15, 42, 67, 30, 66, 49, 70, 71, 37)(16, 43, 60, 32, 53, 21, 41, 78, 44)(23, 50, 81, 75, 39, 76, 52, 72, 56)(25, 59, 73, 55, 80, 48, 57, 64, 35)(82, 83, 87, 99, 127, 150, 112, 94, 85)(84, 90, 108, 98, 126, 160, 149, 114, 92)(86, 96, 122, 128, 151, 113, 91, 111, 97)(88, 102, 133, 107, 141, 156, 119, 125, 104)(89, 105, 138, 155, 142, 136, 103, 135, 106)(93, 116, 130, 100, 129, 148, 132, 154, 118)(95, 120, 109, 101, 131, 146, 117, 153, 121)(110, 134, 161, 158, 124, 140, 144, 159, 145)(115, 137, 147, 143, 157, 123, 139, 162, 152)
	L = (1, 82)(2, 83)(3, 84)(4, 85)(5, 86)(6, 87)(7, 88)(8, 89)(9, 90)(10, 91)(11, 92)(12, 93)(13, 94)(14, 95)(15, 96)(16, 97)(17, 98)(18, 99)(19, 100)(20, 101)(21, 102)(22, 103)(23, 104)(24, 105)(25, 106)(26, 107)(27, 108)(28, 109)(29, 110)(30, 111)(31, 112)(32, 113)(33, 114)(34, 115)(35, 116)(36, 117)(37, 118)(38, 119)(39, 120)(40, 121)(41, 122)(42, 123)(43, 124)(44, 125)(45, 126)(46, 127)(47, 128)(48, 129)(49, 130)(50, 131)(51, 132)(52, 133)(53, 134)(54, 135)(55, 136)(56, 137)(57, 138)(58, 139)(59, 140)(60, 141)(61, 142)(62, 143)(63, 144)(64, 145)(65, 146)(66, 147)(67, 148)(68, 149)(69, 150)(70, 151)(71, 152)(72, 153)(73, 154)(74, 155)(75, 156)(76, 157)(77, 158)(78, 159)(79, 160)(80, 161)(81, 162)
	local type(s) :: { ( 18^9 ) }
Outer automorphisms :: reflexible
Dual of E28.2084
Transitivity :: ET+
Graph:: bipartite
	v = 18 e = 81 f = 9
	degree seq :: [ 9^18 ]

E28.2084 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {9, 9, 9})
Quotient :: loop
Aut^+ = (C9 x C3) : C3 (small group id <81, 8>)
Aut   = ((C9 x C3) : C3) : C2 (small group id <162, 20>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-3 * T1^-3, (T2 * T1^-1)^3, T1^2 * T2^3 * T1, T1 * T2 * T1 * T2 * T1^-2 * T2, (T1, T2, T1^-1), T2^2 * T1^-1 * T2^-1 * T1^-1 * T2^2 * T1^-1, T1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2 * T1, T1^-1 * T2^6 * T1^-2, T1^9 ]
Map:: non-degenerate
	R = (1, 82, 3, 84, 10, 91, 31, 112, 68, 149, 47, 128, 18, 99, 17, 98, 5, 86)(2, 83, 7, 88, 22, 103, 13, 94, 38, 119, 74, 155, 46, 127, 26, 107, 8, 89)(4, 85, 12, 93, 36, 117, 69, 150, 51, 132, 20, 101, 6, 87, 19, 100, 14, 95)(9, 90, 28, 109, 63, 144, 33, 114, 40, 121, 77, 158, 45, 126, 65, 146, 29, 110)(11, 92, 24, 105, 58, 139, 79, 160, 54, 135, 62, 143, 27, 108, 61, 142, 34, 115)(15, 96, 42, 123, 67, 148, 30, 111, 66, 147, 49, 130, 70, 151, 71, 152, 37, 118)(16, 97, 43, 124, 60, 141, 32, 113, 53, 134, 21, 102, 41, 122, 78, 159, 44, 125)(23, 104, 50, 131, 81, 162, 75, 156, 39, 120, 76, 157, 52, 133, 72, 153, 56, 137)(25, 106, 59, 140, 73, 154, 55, 136, 80, 161, 48, 129, 57, 138, 64, 145, 35, 116)
	L = (1, 83)(2, 87)(3, 90)(4, 82)(5, 96)(6, 99)(7, 102)(8, 105)(9, 108)(10, 111)(11, 84)(12, 116)(13, 85)(14, 120)(15, 122)(16, 86)(17, 126)(18, 127)(19, 129)(20, 131)(21, 133)(22, 135)(23, 88)(24, 138)(25, 89)(26, 141)(27, 98)(28, 101)(29, 134)(30, 97)(31, 94)(32, 91)(33, 92)(34, 137)(35, 130)(36, 153)(37, 93)(38, 125)(39, 109)(40, 95)(41, 128)(42, 139)(43, 140)(44, 104)(45, 160)(46, 150)(47, 151)(48, 148)(49, 100)(50, 146)(51, 154)(52, 107)(53, 161)(54, 106)(55, 103)(56, 147)(57, 155)(58, 162)(59, 144)(60, 156)(61, 136)(62, 157)(63, 159)(64, 110)(65, 117)(66, 143)(67, 132)(68, 114)(69, 112)(70, 113)(71, 115)(72, 121)(73, 118)(74, 142)(75, 119)(76, 123)(77, 124)(78, 145)(79, 149)(80, 158)(81, 152)
	local type(s) :: { ( 9^18 ) }
Outer automorphisms :: reflexible
Dual of E28.2083
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 81 f = 18
	degree seq :: [ 18^9 ]

E28.2085 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 9, 9})
Quotient :: dipole
Aut^+ = (C9 x C3) : C3 (small group id <81, 8>)
Aut   = ((C9 x C3) : C3) : C2 (small group id <162, 20>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (R * Y1)^2, (R * Y3)^2, (Y1 * Y2^-1)^3, Y1 * Y2^3 * Y3^-2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y3^-2 * Y2^2, Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y2^-2, Y2 * Y1 * Y2 * Y1 * Y2^-2 * Y3^-1, Y2 * Y1^-1 * Y3 * Y2 * Y3^-1 * Y2 * Y1^-2, Y1 * Y2^-1 * Y3 * Y2^-1 * Y1^2 * Y2^-1 * Y3^-1, Y2^-2 * R * Y1 * Y3^-2 * R * Y2^-1, Y3 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y3 * Y2 * Y1 * Y3^-1 * Y1 * Y2^-1 * Y3 * Y1^-1, Y2^-1 * Y3^2 * Y2^-1 * Y3^2 * Y2^-1 * Y1^-2, Y1^9, Y1^2 * Y2 * R * Y2^2 * Y3 * R * Y2, (Y3^2 * Y1^-1)^3, (Y3 * Y2^-1)^9 ]
Map::
	R = (1, 82, 2, 83, 6, 87, 18, 99, 46, 127, 69, 150, 31, 112, 13, 94, 4, 85)(3, 84, 9, 90, 27, 108, 17, 98, 45, 126, 79, 160, 68, 149, 33, 114, 11, 92)(5, 86, 15, 96, 41, 122, 47, 128, 70, 151, 32, 113, 10, 91, 30, 111, 16, 97)(7, 88, 21, 102, 53, 134, 26, 107, 44, 125, 76, 157, 38, 119, 56, 137, 23, 104)(8, 89, 24, 105, 58, 139, 75, 156, 62, 143, 55, 136, 22, 103, 54, 135, 25, 106)(12, 93, 35, 116, 49, 130, 19, 100, 48, 129, 67, 148, 52, 133, 61, 142, 37, 118)(14, 95, 39, 120, 51, 132, 20, 101, 50, 131, 28, 109, 36, 117, 73, 154, 40, 121)(29, 110, 65, 146, 81, 162, 78, 159, 43, 124, 72, 153, 64, 145, 77, 158, 60, 141)(34, 115, 71, 152, 74, 155, 63, 144, 80, 161, 66, 147, 59, 140, 57, 138, 42, 123)(163, 244, 165, 246, 172, 253, 193, 274, 230, 311, 209, 290, 180, 261, 179, 260, 167, 248)(164, 245, 169, 250, 184, 265, 175, 256, 200, 281, 237, 318, 208, 289, 188, 269, 170, 251)(166, 247, 174, 255, 198, 279, 231, 312, 214, 295, 182, 263, 168, 249, 181, 262, 176, 257)(171, 252, 190, 271, 226, 307, 195, 276, 213, 294, 240, 321, 207, 288, 202, 283, 191, 272)(173, 254, 186, 267, 221, 302, 241, 322, 216, 297, 225, 306, 189, 270, 224, 305, 196, 277)(177, 258, 204, 285, 229, 310, 192, 273, 228, 309, 211, 292, 232, 313, 236, 317, 199, 280)(178, 259, 205, 286, 183, 264, 194, 275, 227, 308, 218, 299, 203, 284, 239, 320, 206, 287)(185, 266, 212, 293, 242, 323, 238, 319, 201, 282, 233, 314, 215, 296, 235, 316, 219, 300)(187, 268, 222, 303, 210, 291, 217, 298, 234, 315, 197, 278, 220, 301, 243, 324, 223, 304)
	L = (1, 166)(2, 163)(3, 173)(4, 175)(5, 178)(6, 164)(7, 185)(8, 187)(9, 165)(10, 194)(11, 195)(12, 199)(13, 193)(14, 202)(15, 167)(16, 192)(17, 189)(18, 168)(19, 211)(20, 213)(21, 169)(22, 217)(23, 218)(24, 170)(25, 216)(26, 215)(27, 171)(28, 212)(29, 222)(30, 172)(31, 231)(32, 232)(33, 230)(34, 204)(35, 174)(36, 190)(37, 223)(38, 238)(39, 176)(40, 235)(41, 177)(42, 219)(43, 240)(44, 188)(45, 179)(46, 180)(47, 203)(48, 181)(49, 197)(50, 182)(51, 201)(52, 229)(53, 183)(54, 184)(55, 224)(56, 200)(57, 221)(58, 186)(59, 228)(60, 239)(61, 214)(62, 237)(63, 236)(64, 234)(65, 191)(66, 242)(67, 210)(68, 241)(69, 208)(70, 209)(71, 196)(72, 205)(73, 198)(74, 233)(75, 220)(76, 206)(77, 226)(78, 243)(79, 207)(80, 225)(81, 227)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.2086
Graph:: bipartite
	v = 18 e = 162 f = 90
	degree seq :: [ 18^18 ]

E28.2086 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 9, 9})
Quotient :: dipole
Aut^+ = (C9 x C3) : C3 (small group id <81, 8>)
Aut   = ((C9 x C3) : C3) : C2 (small group id <162, 20>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y3^-1)^3, Y2^3 * Y3^-3, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-2 * Y2^-1, Y2^-2 * R * Y3^-3 * R * Y2^-1, Y2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1, Y3^9, Y3 * Y2^6 * Y3^2, (Y3^-1 * Y1^-1)^9 ]
Map::
	R = (1, 82)(2, 83)(3, 84)(4, 85)(5, 86)(6, 87)(7, 88)(8, 89)(9, 90)(10, 91)(11, 92)(12, 93)(13, 94)(14, 95)(15, 96)(16, 97)(17, 98)(18, 99)(19, 100)(20, 101)(21, 102)(22, 103)(23, 104)(24, 105)(25, 106)(26, 107)(27, 108)(28, 109)(29, 110)(30, 111)(31, 112)(32, 113)(33, 114)(34, 115)(35, 116)(36, 117)(37, 118)(38, 119)(39, 120)(40, 121)(41, 122)(42, 123)(43, 124)(44, 125)(45, 126)(46, 127)(47, 128)(48, 129)(49, 130)(50, 131)(51, 132)(52, 133)(53, 134)(54, 135)(55, 136)(56, 137)(57, 138)(58, 139)(59, 140)(60, 141)(61, 142)(62, 143)(63, 144)(64, 145)(65, 146)(66, 147)(67, 148)(68, 149)(69, 150)(70, 151)(71, 152)(72, 153)(73, 154)(74, 155)(75, 156)(76, 157)(77, 158)(78, 159)(79, 160)(80, 161)(81, 162)(163, 244, 164, 245, 168, 249, 180, 261, 208, 289, 236, 317, 199, 280, 175, 256, 166, 247)(165, 246, 171, 252, 189, 270, 209, 290, 241, 322, 207, 288, 179, 260, 195, 276, 173, 254)(167, 248, 177, 258, 193, 274, 172, 253, 192, 273, 227, 308, 237, 318, 206, 287, 178, 259)(169, 250, 183, 264, 215, 296, 238, 319, 230, 311, 223, 304, 188, 269, 219, 300, 185, 266)(170, 251, 186, 267, 217, 298, 184, 265, 194, 275, 231, 312, 200, 281, 222, 303, 187, 268)(174, 255, 197, 278, 212, 293, 181, 262, 210, 291, 204, 285, 202, 283, 235, 316, 198, 279)(176, 257, 201, 282, 214, 295, 182, 263, 213, 294, 226, 307, 211, 292, 218, 299, 190, 271)(191, 272, 205, 286, 234, 315, 225, 306, 229, 310, 242, 323, 232, 313, 216, 297, 221, 302)(196, 277, 233, 314, 240, 321, 224, 305, 220, 301, 203, 284, 239, 320, 243, 324, 228, 309)
	L = (1, 165)(2, 169)(3, 172)(4, 174)(5, 163)(6, 181)(7, 184)(8, 164)(9, 190)(10, 180)(11, 194)(12, 182)(13, 188)(14, 166)(15, 203)(16, 205)(17, 167)(18, 209)(19, 211)(20, 168)(21, 178)(22, 208)(23, 218)(24, 196)(25, 221)(26, 170)(27, 222)(28, 225)(29, 171)(30, 228)(31, 229)(32, 224)(33, 226)(34, 173)(35, 231)(36, 192)(37, 179)(38, 175)(39, 233)(40, 176)(41, 198)(42, 177)(43, 230)(44, 240)(45, 186)(46, 238)(47, 237)(48, 187)(49, 236)(50, 206)(51, 220)(52, 232)(53, 201)(54, 183)(55, 234)(56, 243)(57, 227)(58, 185)(59, 235)(60, 239)(61, 213)(62, 189)(63, 241)(64, 191)(65, 216)(66, 212)(67, 219)(68, 193)(69, 242)(70, 195)(71, 223)(72, 197)(73, 217)(74, 202)(75, 199)(76, 200)(77, 207)(78, 204)(79, 214)(80, 210)(81, 215)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 18, 18 ), ( 18^18 ) }
Outer automorphisms :: reflexible
Dual of E28.2085
Graph:: simple bipartite
	v = 90 e = 162 f = 18
	degree seq :: [ 2^81, 18^9 ]

E28.2087 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {9, 9, 9})
Quotient :: edge
Aut^+ = C3 . ((C3 x C3) : C3) = (C3 x C3) . (C3 x C3) (small group id <81, 10>)
Aut   = (C3 . ((C3 x C3) : C3) = (C3 x C3) . (C3 x C3)) : C2 (small group id <162, 22>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^3 * T2^-3, T2^3 * T1^-3, T2^-3 * T1^3, T1^-1 * T2^2 * T1^-1 * T2^-1 * T1^-1 * T2^-1, T1 * T2^2 * T1 * T2^-1 * T1 * T2^-1, T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1, T1^3 * T2^6 ]
Map:: non-degenerate
	R = (1, 3, 10, 18, 49, 71, 37, 17, 5)(2, 7, 22, 48, 72, 38, 13, 26, 8)(4, 12, 20, 6, 19, 51, 70, 41, 14)(9, 28, 62, 76, 78, 68, 33, 40, 29)(11, 32, 61, 27, 59, 77, 47, 24, 34)(15, 42, 36, 30, 65, 52, 45, 74, 43)(16, 44, 21, 31, 66, 81, 64, 75, 46)(23, 56, 79, 54, 39, 73, 60, 53, 57)(25, 58, 50, 55, 80, 69, 67, 63, 35)(82, 83, 87, 99, 129, 151, 118, 94, 85)(84, 90, 108, 130, 157, 128, 98, 114, 92)(86, 96, 112, 91, 111, 145, 152, 126, 97)(88, 102, 135, 153, 162, 141, 107, 127, 104)(89, 105, 136, 103, 113, 148, 119, 140, 106)(93, 116, 133, 100, 131, 124, 122, 150, 117)(95, 120, 109, 101, 134, 159, 132, 137, 121)(110, 125, 139, 143, 147, 161, 149, 156, 144)(115, 138, 146, 142, 160, 155, 158, 154, 123)
	L = (1, 82)(2, 83)(3, 84)(4, 85)(5, 86)(6, 87)(7, 88)(8, 89)(9, 90)(10, 91)(11, 92)(12, 93)(13, 94)(14, 95)(15, 96)(16, 97)(17, 98)(18, 99)(19, 100)(20, 101)(21, 102)(22, 103)(23, 104)(24, 105)(25, 106)(26, 107)(27, 108)(28, 109)(29, 110)(30, 111)(31, 112)(32, 113)(33, 114)(34, 115)(35, 116)(36, 117)(37, 118)(38, 119)(39, 120)(40, 121)(41, 122)(42, 123)(43, 124)(44, 125)(45, 126)(46, 127)(47, 128)(48, 129)(49, 130)(50, 131)(51, 132)(52, 133)(53, 134)(54, 135)(55, 136)(56, 137)(57, 138)(58, 139)(59, 140)(60, 141)(61, 142)(62, 143)(63, 144)(64, 145)(65, 146)(66, 147)(67, 148)(68, 149)(69, 150)(70, 151)(71, 152)(72, 153)(73, 154)(74, 155)(75, 156)(76, 157)(77, 158)(78, 159)(79, 160)(80, 161)(81, 162)
	local type(s) :: { ( 18^9 ) }
Outer automorphisms :: reflexible
Dual of E28.2092
Transitivity :: ET+
Graph:: bipartite
	v = 18 e = 81 f = 9
	degree seq :: [ 9^18 ]

E28.2088 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {9, 9, 9})
Quotient :: edge
Aut^+ = C3 . ((C3 x C3) : C3) = (C3 x C3) . (C3 x C3) (small group id <81, 10>)
Aut   = (C3 . ((C3 x C3) : C3) = (C3 x C3) . (C3 x C3)) : C2 (small group id <162, 22>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^3 * T1^3, T1 * T2^2 * T1 * T2^-1 * T1 * T2^-1, T1 * T2 * T1 * T2 * T1 * T2^-2, T1^2 * T2^-1 * T1^-1 * T2^-1 * T1^2 * T2^-1, T2^-1 * T1^6 * T2^-2 ]
Map:: non-degenerate
	R = (1, 3, 10, 31, 65, 49, 18, 17, 5)(2, 7, 22, 13, 39, 71, 48, 26, 8)(4, 12, 37, 66, 53, 20, 6, 19, 14)(9, 28, 62, 34, 52, 77, 47, 41, 29)(11, 33, 69, 76, 80, 61, 27, 24, 35)(15, 43, 38, 30, 64, 78, 68, 75, 44)(16, 45, 21, 32, 67, 56, 42, 74, 46)(23, 40, 73, 72, 70, 79, 54, 51, 57)(25, 59, 50, 55, 63, 36, 58, 81, 60)(82, 83, 87, 99, 129, 147, 112, 94, 85)(84, 90, 108, 98, 128, 157, 146, 115, 92)(86, 96, 123, 130, 149, 113, 91, 111, 97)(88, 102, 135, 107, 127, 153, 120, 137, 104)(89, 105, 139, 152, 161, 136, 103, 114, 106)(93, 117, 125, 100, 131, 159, 134, 141, 119)(95, 121, 133, 101, 132, 109, 118, 151, 122)(110, 126, 140, 158, 155, 162, 143, 148, 144)(116, 138, 156, 142, 160, 145, 150, 154, 124)
	L = (1, 82)(2, 83)(3, 84)(4, 85)(5, 86)(6, 87)(7, 88)(8, 89)(9, 90)(10, 91)(11, 92)(12, 93)(13, 94)(14, 95)(15, 96)(16, 97)(17, 98)(18, 99)(19, 100)(20, 101)(21, 102)(22, 103)(23, 104)(24, 105)(25, 106)(26, 107)(27, 108)(28, 109)(29, 110)(30, 111)(31, 112)(32, 113)(33, 114)(34, 115)(35, 116)(36, 117)(37, 118)(38, 119)(39, 120)(40, 121)(41, 122)(42, 123)(43, 124)(44, 125)(45, 126)(46, 127)(47, 128)(48, 129)(49, 130)(50, 131)(51, 132)(52, 133)(53, 134)(54, 135)(55, 136)(56, 137)(57, 138)(58, 139)(59, 140)(60, 141)(61, 142)(62, 143)(63, 144)(64, 145)(65, 146)(66, 147)(67, 148)(68, 149)(69, 150)(70, 151)(71, 152)(72, 153)(73, 154)(74, 155)(75, 156)(76, 157)(77, 158)(78, 159)(79, 160)(80, 161)(81, 162)
	local type(s) :: { ( 18^9 ) }
Outer automorphisms :: reflexible
Dual of E28.2091
Transitivity :: ET+
Graph:: bipartite
	v = 18 e = 81 f = 9
	degree seq :: [ 9^18 ]

E28.2089 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {9, 9, 9})
Quotient :: edge
Aut^+ = C3 . ((C3 x C3) : C3) = (C3 x C3) . (C3 x C3) (small group id <81, 10>)
Aut   = (C3 . ((C3 x C3) : C3) = (C3 x C3) . (C3 x C3)) : C2 (small group id <162, 22>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^3 * T2^-3, T1^-3 * T2^3, T1 * T2^-1 * T1 * T2^-1 * T1 * T2^2, T1^-1 * T2 * T1 * T2^-2 * T1 * T2 * T1^-1, T2 * T1^2 * T2 * T1^2 * T2 * T1^-1, T2^9, (T2^-1 * T1^-1)^9 ]
Map:: non-degenerate
	R = (1, 3, 10, 18, 49, 75, 37, 17, 5)(2, 7, 22, 48, 76, 38, 13, 26, 8)(4, 12, 20, 6, 19, 51, 74, 41, 14)(9, 28, 67, 78, 40, 71, 33, 54, 29)(11, 32, 66, 27, 63, 81, 47, 24, 34)(15, 42, 36, 30, 69, 52, 45, 73, 43)(16, 44, 60, 31, 57, 21, 56, 80, 46)(23, 59, 72, 55, 39, 77, 65, 53, 61)(25, 62, 35, 58, 68, 50, 70, 79, 64)(82, 83, 87, 99, 129, 155, 118, 94, 85)(84, 90, 108, 130, 159, 128, 98, 114, 92)(86, 96, 112, 91, 111, 137, 156, 126, 97)(88, 102, 136, 157, 127, 146, 107, 141, 104)(89, 105, 139, 103, 113, 151, 119, 144, 106)(93, 116, 133, 100, 131, 124, 122, 145, 117)(95, 120, 135, 101, 134, 109, 132, 140, 121)(110, 125, 160, 148, 138, 143, 152, 161, 149)(115, 153, 123, 147, 158, 150, 162, 142, 154)
	L = (1, 82)(2, 83)(3, 84)(4, 85)(5, 86)(6, 87)(7, 88)(8, 89)(9, 90)(10, 91)(11, 92)(12, 93)(13, 94)(14, 95)(15, 96)(16, 97)(17, 98)(18, 99)(19, 100)(20, 101)(21, 102)(22, 103)(23, 104)(24, 105)(25, 106)(26, 107)(27, 108)(28, 109)(29, 110)(30, 111)(31, 112)(32, 113)(33, 114)(34, 115)(35, 116)(36, 117)(37, 118)(38, 119)(39, 120)(40, 121)(41, 122)(42, 123)(43, 124)(44, 125)(45, 126)(46, 127)(47, 128)(48, 129)(49, 130)(50, 131)(51, 132)(52, 133)(53, 134)(54, 135)(55, 136)(56, 137)(57, 138)(58, 139)(59, 140)(60, 141)(61, 142)(62, 143)(63, 144)(64, 145)(65, 146)(66, 147)(67, 148)(68, 149)(69, 150)(70, 151)(71, 152)(72, 153)(73, 154)(74, 155)(75, 156)(76, 157)(77, 158)(78, 159)(79, 160)(80, 161)(81, 162)
	local type(s) :: { ( 18^9 ) }
Outer automorphisms :: reflexible
Dual of E28.2094
Transitivity :: ET+
Graph:: bipartite
	v = 18 e = 81 f = 9
	degree seq :: [ 9^18 ]

E28.2090 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {9, 9, 9})
Quotient :: edge
Aut^+ = C3 . ((C3 x C3) : C3) = (C3 x C3) . (C3 x C3) (small group id <81, 10>)
Aut   = (C3 . ((C3 x C3) : C3) = (C3 x C3) . (C3 x C3)) : C2 (small group id <162, 22>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^-3 * T2^-3, T1 * T2^3 * T1^2, T1 * T2^-2 * T1 * T2 * T1 * T2, T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1 * T2^-1, T2 * T1 * T2 * T1^-2 * T2 * T1^-2, T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-3, T2^-1 * T1^6 * T2^-2, T2^9 ]
Map:: non-degenerate
	R = (1, 3, 10, 31, 70, 49, 18, 17, 5)(2, 7, 22, 13, 39, 75, 48, 26, 8)(4, 12, 37, 71, 54, 20, 6, 19, 14)(9, 28, 66, 34, 53, 81, 47, 41, 29)(11, 33, 74, 63, 24, 62, 27, 56, 35)(15, 43, 51, 30, 69, 38, 73, 80, 44)(16, 45, 21, 32, 72, 59, 42, 67, 46)(23, 58, 76, 78, 52, 79, 55, 40, 60)(25, 64, 50, 57, 77, 36, 61, 68, 65)(82, 83, 87, 99, 129, 152, 112, 94, 85)(84, 90, 108, 98, 128, 144, 151, 115, 92)(86, 96, 123, 130, 154, 113, 91, 111, 97)(88, 102, 136, 107, 127, 159, 120, 140, 104)(89, 105, 142, 156, 114, 138, 103, 137, 106)(93, 117, 132, 100, 131, 125, 135, 146, 119)(95, 121, 134, 101, 133, 109, 118, 139, 122)(110, 148, 158, 162, 153, 145, 147, 126, 149)(116, 157, 161, 143, 141, 150, 155, 160, 124)
	L = (1, 82)(2, 83)(3, 84)(4, 85)(5, 86)(6, 87)(7, 88)(8, 89)(9, 90)(10, 91)(11, 92)(12, 93)(13, 94)(14, 95)(15, 96)(16, 97)(17, 98)(18, 99)(19, 100)(20, 101)(21, 102)(22, 103)(23, 104)(24, 105)(25, 106)(26, 107)(27, 108)(28, 109)(29, 110)(30, 111)(31, 112)(32, 113)(33, 114)(34, 115)(35, 116)(36, 117)(37, 118)(38, 119)(39, 120)(40, 121)(41, 122)(42, 123)(43, 124)(44, 125)(45, 126)(46, 127)(47, 128)(48, 129)(49, 130)(50, 131)(51, 132)(52, 133)(53, 134)(54, 135)(55, 136)(56, 137)(57, 138)(58, 139)(59, 140)(60, 141)(61, 142)(62, 143)(63, 144)(64, 145)(65, 146)(66, 147)(67, 148)(68, 149)(69, 150)(70, 151)(71, 152)(72, 153)(73, 154)(74, 155)(75, 156)(76, 157)(77, 158)(78, 159)(79, 160)(80, 161)(81, 162)
	local type(s) :: { ( 18^9 ) }
Outer automorphisms :: reflexible
Dual of E28.2093
Transitivity :: ET+
Graph:: bipartite
	v = 18 e = 81 f = 9
	degree seq :: [ 9^18 ]

E28.2091 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {9, 9, 9})
Quotient :: loop
Aut^+ = C3 . ((C3 x C3) : C3) = (C3 x C3) . (C3 x C3) (small group id <81, 10>)
Aut   = (C3 . ((C3 x C3) : C3) = (C3 x C3) . (C3 x C3)) : C2 (small group id <162, 22>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^3 * T2^-3, T2^3 * T1^-3, T2^-3 * T1^3, T1^-1 * T2^2 * T1^-1 * T2^-1 * T1^-1 * T2^-1, T1 * T2^2 * T1 * T2^-1 * T1 * T2^-1, T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1, T1^3 * T2^6 ]
Map:: non-degenerate
	R = (1, 82, 3, 84, 10, 91, 18, 99, 49, 130, 71, 152, 37, 118, 17, 98, 5, 86)(2, 83, 7, 88, 22, 103, 48, 129, 72, 153, 38, 119, 13, 94, 26, 107, 8, 89)(4, 85, 12, 93, 20, 101, 6, 87, 19, 100, 51, 132, 70, 151, 41, 122, 14, 95)(9, 90, 28, 109, 62, 143, 76, 157, 78, 159, 68, 149, 33, 114, 40, 121, 29, 110)(11, 92, 32, 113, 61, 142, 27, 108, 59, 140, 77, 158, 47, 128, 24, 105, 34, 115)(15, 96, 42, 123, 36, 117, 30, 111, 65, 146, 52, 133, 45, 126, 74, 155, 43, 124)(16, 97, 44, 125, 21, 102, 31, 112, 66, 147, 81, 162, 64, 145, 75, 156, 46, 127)(23, 104, 56, 137, 79, 160, 54, 135, 39, 120, 73, 154, 60, 141, 53, 134, 57, 138)(25, 106, 58, 139, 50, 131, 55, 136, 80, 161, 69, 150, 67, 148, 63, 144, 35, 116)
	L = (1, 83)(2, 87)(3, 90)(4, 82)(5, 96)(6, 99)(7, 102)(8, 105)(9, 108)(10, 111)(11, 84)(12, 116)(13, 85)(14, 120)(15, 112)(16, 86)(17, 114)(18, 129)(19, 131)(20, 134)(21, 135)(22, 113)(23, 88)(24, 136)(25, 89)(26, 127)(27, 130)(28, 101)(29, 125)(30, 145)(31, 91)(32, 148)(33, 92)(34, 138)(35, 133)(36, 93)(37, 94)(38, 140)(39, 109)(40, 95)(41, 150)(42, 115)(43, 122)(44, 139)(45, 97)(46, 104)(47, 98)(48, 151)(49, 157)(50, 124)(51, 137)(52, 100)(53, 159)(54, 153)(55, 103)(56, 121)(57, 146)(58, 143)(59, 106)(60, 107)(61, 160)(62, 147)(63, 110)(64, 152)(65, 142)(66, 161)(67, 119)(68, 156)(69, 117)(70, 118)(71, 126)(72, 162)(73, 123)(74, 158)(75, 144)(76, 128)(77, 154)(78, 132)(79, 155)(80, 149)(81, 141)
	local type(s) :: { ( 9^18 ) }
Outer automorphisms :: reflexible
Dual of E28.2088
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 81 f = 18
	degree seq :: [ 18^9 ]

E28.2092 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {9, 9, 9})
Quotient :: loop
Aut^+ = C3 . ((C3 x C3) : C3) = (C3 x C3) . (C3 x C3) (small group id <81, 10>)
Aut   = (C3 . ((C3 x C3) : C3) = (C3 x C3) . (C3 x C3)) : C2 (small group id <162, 22>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^3 * T1^3, T1 * T2^2 * T1 * T2^-1 * T1 * T2^-1, T1 * T2 * T1 * T2 * T1 * T2^-2, T1^2 * T2^-1 * T1^-1 * T2^-1 * T1^2 * T2^-1, T2^-1 * T1^6 * T2^-2 ]
Map:: non-degenerate
	R = (1, 82, 3, 84, 10, 91, 31, 112, 65, 146, 49, 130, 18, 99, 17, 98, 5, 86)(2, 83, 7, 88, 22, 103, 13, 94, 39, 120, 71, 152, 48, 129, 26, 107, 8, 89)(4, 85, 12, 93, 37, 118, 66, 147, 53, 134, 20, 101, 6, 87, 19, 100, 14, 95)(9, 90, 28, 109, 62, 143, 34, 115, 52, 133, 77, 158, 47, 128, 41, 122, 29, 110)(11, 92, 33, 114, 69, 150, 76, 157, 80, 161, 61, 142, 27, 108, 24, 105, 35, 116)(15, 96, 43, 124, 38, 119, 30, 111, 64, 145, 78, 159, 68, 149, 75, 156, 44, 125)(16, 97, 45, 126, 21, 102, 32, 113, 67, 148, 56, 137, 42, 123, 74, 155, 46, 127)(23, 104, 40, 121, 73, 154, 72, 153, 70, 151, 79, 160, 54, 135, 51, 132, 57, 138)(25, 106, 59, 140, 50, 131, 55, 136, 63, 144, 36, 117, 58, 139, 81, 162, 60, 141)
	L = (1, 83)(2, 87)(3, 90)(4, 82)(5, 96)(6, 99)(7, 102)(8, 105)(9, 108)(10, 111)(11, 84)(12, 117)(13, 85)(14, 121)(15, 123)(16, 86)(17, 128)(18, 129)(19, 131)(20, 132)(21, 135)(22, 114)(23, 88)(24, 139)(25, 89)(26, 127)(27, 98)(28, 118)(29, 126)(30, 97)(31, 94)(32, 91)(33, 106)(34, 92)(35, 138)(36, 125)(37, 151)(38, 93)(39, 137)(40, 133)(41, 95)(42, 130)(43, 116)(44, 100)(45, 140)(46, 153)(47, 157)(48, 147)(49, 149)(50, 159)(51, 109)(52, 101)(53, 141)(54, 107)(55, 103)(56, 104)(57, 156)(58, 152)(59, 158)(60, 119)(61, 160)(62, 148)(63, 110)(64, 150)(65, 115)(66, 112)(67, 144)(68, 113)(69, 154)(70, 122)(71, 161)(72, 120)(73, 124)(74, 162)(75, 142)(76, 146)(77, 155)(78, 134)(79, 145)(80, 136)(81, 143)
	local type(s) :: { ( 9^18 ) }
Outer automorphisms :: reflexible
Dual of E28.2087
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 81 f = 18
	degree seq :: [ 18^9 ]

E28.2093 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {9, 9, 9})
Quotient :: loop
Aut^+ = C3 . ((C3 x C3) : C3) = (C3 x C3) . (C3 x C3) (small group id <81, 10>)
Aut   = (C3 . ((C3 x C3) : C3) = (C3 x C3) . (C3 x C3)) : C2 (small group id <162, 22>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^3 * T2^-3, T1^-1 * T2^3 * T1^-2, T1 * T2 * T1 * T2 * T1^-2 * T2, T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1, T2 * T1 * T2^2 * T1 * T2^-1 * T1 * T2, T1 * T2^6 * T1^2, T1^9 ]
Map:: non-degenerate
	R = (1, 82, 3, 84, 10, 91, 18, 99, 49, 130, 72, 153, 37, 118, 17, 98, 5, 86)(2, 83, 7, 88, 22, 103, 48, 129, 74, 155, 38, 119, 13, 94, 26, 107, 8, 89)(4, 85, 12, 93, 20, 101, 6, 87, 19, 100, 51, 132, 71, 152, 41, 122, 14, 95)(9, 90, 28, 109, 61, 142, 77, 158, 78, 159, 67, 148, 33, 114, 40, 121, 29, 110)(11, 92, 32, 113, 60, 141, 27, 108, 24, 105, 57, 138, 47, 128, 54, 135, 34, 115)(15, 96, 42, 123, 65, 146, 30, 111, 64, 145, 36, 117, 45, 126, 76, 157, 43, 124)(16, 97, 44, 125, 21, 102, 31, 112, 66, 147, 81, 162, 63, 144, 62, 143, 46, 127)(23, 104, 39, 120, 68, 149, 53, 134, 52, 133, 79, 160, 59, 140, 75, 156, 56, 137)(25, 106, 58, 139, 50, 131, 55, 136, 80, 161, 70, 151, 73, 154, 69, 150, 35, 116)
	L = (1, 83)(2, 87)(3, 90)(4, 82)(5, 96)(6, 99)(7, 102)(8, 105)(9, 108)(10, 111)(11, 84)(12, 116)(13, 85)(14, 120)(15, 112)(16, 86)(17, 114)(18, 129)(19, 131)(20, 133)(21, 134)(22, 135)(23, 88)(24, 136)(25, 89)(26, 127)(27, 130)(28, 101)(29, 143)(30, 144)(31, 91)(32, 106)(33, 92)(34, 149)(35, 124)(36, 93)(37, 94)(38, 113)(39, 109)(40, 95)(41, 151)(42, 115)(43, 100)(44, 150)(45, 97)(46, 104)(47, 98)(48, 152)(49, 158)(50, 146)(51, 156)(52, 159)(53, 155)(54, 154)(55, 103)(56, 123)(57, 137)(58, 110)(59, 107)(60, 160)(61, 125)(62, 161)(63, 153)(64, 141)(65, 122)(66, 139)(67, 147)(68, 145)(69, 148)(70, 117)(71, 118)(72, 126)(73, 119)(74, 162)(75, 121)(76, 138)(77, 128)(78, 132)(79, 157)(80, 142)(81, 140)
	local type(s) :: { ( 9^18 ) }
Outer automorphisms :: reflexible
Dual of E28.2090
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 81 f = 18
	degree seq :: [ 18^9 ]

E28.2094 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {9, 9, 9})
Quotient :: loop
Aut^+ = C3 . ((C3 x C3) : C3) = (C3 x C3) . (C3 x C3) (small group id <81, 10>)
Aut   = (C3 . ((C3 x C3) : C3) = (C3 x C3) . (C3 x C3)) : C2 (small group id <162, 22>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^3 * T2^-3, T1^-3 * T2^3, T1 * T2^-1 * T1 * T2^-1 * T1 * T2^2, T1^-1 * T2 * T1 * T2^-2 * T1 * T2 * T1^-1, T2 * T1^2 * T2 * T1^2 * T2 * T1^-1, T2^9, (T2^-1 * T1^-1)^9 ]
Map:: non-degenerate
	R = (1, 82, 3, 84, 10, 91, 18, 99, 49, 130, 75, 156, 37, 118, 17, 98, 5, 86)(2, 83, 7, 88, 22, 103, 48, 129, 76, 157, 38, 119, 13, 94, 26, 107, 8, 89)(4, 85, 12, 93, 20, 101, 6, 87, 19, 100, 51, 132, 74, 155, 41, 122, 14, 95)(9, 90, 28, 109, 67, 148, 78, 159, 40, 121, 71, 152, 33, 114, 54, 135, 29, 110)(11, 92, 32, 113, 66, 147, 27, 108, 63, 144, 81, 162, 47, 128, 24, 105, 34, 115)(15, 96, 42, 123, 36, 117, 30, 111, 69, 150, 52, 133, 45, 126, 73, 154, 43, 124)(16, 97, 44, 125, 60, 141, 31, 112, 57, 138, 21, 102, 56, 137, 80, 161, 46, 127)(23, 104, 59, 140, 72, 153, 55, 136, 39, 120, 77, 158, 65, 146, 53, 134, 61, 142)(25, 106, 62, 143, 35, 116, 58, 139, 68, 149, 50, 131, 70, 151, 79, 160, 64, 145)
	L = (1, 83)(2, 87)(3, 90)(4, 82)(5, 96)(6, 99)(7, 102)(8, 105)(9, 108)(10, 111)(11, 84)(12, 116)(13, 85)(14, 120)(15, 112)(16, 86)(17, 114)(18, 129)(19, 131)(20, 134)(21, 136)(22, 113)(23, 88)(24, 139)(25, 89)(26, 141)(27, 130)(28, 132)(29, 125)(30, 137)(31, 91)(32, 151)(33, 92)(34, 153)(35, 133)(36, 93)(37, 94)(38, 144)(39, 135)(40, 95)(41, 145)(42, 147)(43, 122)(44, 160)(45, 97)(46, 146)(47, 98)(48, 155)(49, 159)(50, 124)(51, 140)(52, 100)(53, 109)(54, 101)(55, 157)(56, 156)(57, 143)(58, 103)(59, 121)(60, 104)(61, 154)(62, 152)(63, 106)(64, 117)(65, 107)(66, 158)(67, 138)(68, 110)(69, 162)(70, 119)(71, 161)(72, 123)(73, 115)(74, 118)(75, 126)(76, 127)(77, 150)(78, 128)(79, 148)(80, 149)(81, 142)
	local type(s) :: { ( 9^18 ) }
Outer automorphisms :: reflexible
Dual of E28.2089
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 81 f = 18
	degree seq :: [ 18^9 ]

E28.2095 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 9, 9})
Quotient :: dipole
Aut^+ = C3 . ((C3 x C3) : C3) = (C3 x C3) . (C3 x C3) (small group id <81, 10>)
Aut   = (C3 . ((C3 x C3) : C3) = (C3 x C3) . (C3 x C3)) : C2 (small group id <162, 22>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y1)^2, (R * Y3)^2, Y1 * Y2^3 * Y1 * Y3^-1, Y2^-3 * Y3 * Y1^-1 * Y3, (R * Y2 * Y3^-1)^2, Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1, Y1 * Y2^-1 * Y3 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y1^2 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2^-1, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2, Y1 * Y2 * Y3^2 * Y2 * Y3^-1 * Y2, Y3 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y2^-1, Y2^2 * Y3 * Y2^2 * Y1^-1 * Y2^-1 * Y1^-1, Y1^9, Y1^-1 * Y3^2 * Y2^6, (Y3 * Y2^-1)^9 ]
Map::
	R = (1, 82, 2, 83, 6, 87, 18, 99, 48, 129, 65, 146, 31, 112, 13, 94, 4, 85)(3, 84, 9, 90, 27, 108, 17, 98, 47, 128, 77, 158, 64, 145, 34, 115, 11, 92)(5, 86, 15, 96, 42, 123, 49, 130, 66, 147, 32, 113, 10, 91, 30, 111, 16, 97)(7, 88, 21, 102, 53, 134, 26, 107, 59, 140, 74, 155, 39, 120, 46, 127, 23, 104)(8, 89, 24, 105, 57, 138, 73, 154, 81, 162, 55, 136, 22, 103, 33, 114, 25, 106)(12, 93, 36, 117, 44, 125, 19, 100, 50, 131, 78, 159, 52, 133, 72, 153, 38, 119)(14, 95, 40, 121, 28, 109, 20, 101, 51, 132, 62, 143, 37, 118, 71, 152, 41, 122)(29, 110, 45, 126, 70, 151, 75, 156, 76, 157, 79, 160, 61, 142, 54, 135, 58, 139)(35, 116, 68, 149, 63, 144, 60, 141, 56, 137, 43, 124, 67, 148, 80, 161, 69, 150)(163, 244, 165, 246, 172, 253, 193, 274, 226, 307, 211, 292, 180, 261, 179, 260, 167, 248)(164, 245, 169, 250, 184, 265, 175, 256, 201, 282, 235, 316, 210, 291, 188, 269, 170, 251)(166, 247, 174, 255, 199, 280, 227, 308, 214, 295, 182, 263, 168, 249, 181, 262, 176, 257)(171, 252, 190, 271, 223, 304, 196, 277, 203, 284, 237, 318, 209, 290, 224, 305, 191, 272)(173, 254, 195, 276, 229, 310, 239, 320, 243, 324, 222, 303, 189, 270, 186, 267, 197, 278)(177, 258, 205, 286, 200, 281, 192, 273, 225, 306, 240, 321, 228, 309, 231, 312, 206, 287)(178, 259, 207, 288, 221, 302, 194, 275, 216, 297, 183, 264, 204, 285, 238, 319, 208, 289)(185, 266, 202, 283, 230, 311, 236, 317, 233, 314, 242, 323, 215, 296, 213, 294, 218, 299)(187, 268, 220, 301, 234, 315, 217, 298, 241, 322, 212, 293, 219, 300, 232, 313, 198, 279)
	L = (1, 166)(2, 163)(3, 173)(4, 175)(5, 178)(6, 164)(7, 185)(8, 187)(9, 165)(10, 194)(11, 196)(12, 200)(13, 193)(14, 203)(15, 167)(16, 192)(17, 189)(18, 168)(19, 206)(20, 190)(21, 169)(22, 217)(23, 208)(24, 170)(25, 195)(26, 215)(27, 171)(28, 202)(29, 220)(30, 172)(31, 227)(32, 228)(33, 184)(34, 226)(35, 231)(36, 174)(37, 224)(38, 234)(39, 236)(40, 176)(41, 233)(42, 177)(43, 218)(44, 198)(45, 191)(46, 201)(47, 179)(48, 180)(49, 204)(50, 181)(51, 182)(52, 240)(53, 183)(54, 223)(55, 243)(56, 222)(57, 186)(58, 216)(59, 188)(60, 225)(61, 241)(62, 213)(63, 230)(64, 239)(65, 210)(66, 211)(67, 205)(68, 197)(69, 242)(70, 207)(71, 199)(72, 214)(73, 219)(74, 221)(75, 232)(76, 237)(77, 209)(78, 212)(79, 238)(80, 229)(81, 235)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.2101
Graph:: bipartite
	v = 18 e = 162 f = 90
	degree seq :: [ 18^18 ]

E28.2096 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 9, 9})
Quotient :: dipole
Aut^+ = C3 . ((C3 x C3) : C3) = (C3 x C3) . (C3 x C3) (small group id <81, 10>)
Aut   = (C3 . ((C3 x C3) : C3) = (C3 x C3) . (C3 x C3)) : C2 (small group id <162, 22>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y3^-2 * Y1^-2, (R * Y1)^2, (R * Y3)^2, Y2^3 * Y1^-3, (R * Y2 * Y3^-1)^2, Y2^3 * Y1^-3, Y1 * Y2^-1 * Y3^2 * Y2^-1 * Y3^-1 * Y2^-1, Y2 * Y3^2 * Y2 * Y3^-1 * Y2 * Y3^-1, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-2 * Y2^-1, Y1^-1 * Y2^2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1, Y2 * Y1 * Y2 * Y3 * Y1^-1 * Y2 * Y3^-1, Y1 * Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y3^-1, R * Y2^2 * Y3 * R * Y1 * Y2^-1 * Y1, Y2 * Y1 * Y2^2 * Y3^-1 * Y2^-1 * Y1 * Y2, Y3 * Y2^-2 * Y3 * Y2 * Y1^-1 * Y2^-2, Y1^-3 * Y3 * Y2^-3 * Y3^2, Y1^9, Y1 * Y2^6 * Y3^-2 ]
Map::
	R = (1, 82, 2, 83, 6, 87, 18, 99, 48, 129, 71, 152, 37, 118, 13, 94, 4, 85)(3, 84, 9, 90, 27, 108, 49, 130, 77, 158, 47, 128, 17, 98, 33, 114, 11, 92)(5, 86, 15, 96, 31, 112, 10, 91, 30, 111, 63, 144, 72, 153, 45, 126, 16, 97)(7, 88, 21, 102, 53, 134, 74, 155, 81, 162, 59, 140, 26, 107, 46, 127, 23, 104)(8, 89, 24, 105, 55, 136, 22, 103, 54, 135, 73, 154, 38, 119, 32, 113, 25, 106)(12, 93, 35, 116, 43, 124, 19, 100, 50, 131, 65, 146, 41, 122, 70, 151, 36, 117)(14, 95, 39, 120, 28, 109, 20, 101, 52, 133, 78, 159, 51, 132, 75, 156, 40, 121)(29, 110, 62, 143, 80, 161, 61, 142, 44, 125, 69, 150, 67, 148, 66, 147, 58, 139)(34, 115, 68, 149, 64, 145, 60, 141, 79, 160, 76, 157, 57, 138, 56, 137, 42, 123)(163, 244, 165, 246, 172, 253, 180, 261, 211, 292, 234, 315, 199, 280, 179, 260, 167, 248)(164, 245, 169, 250, 184, 265, 210, 291, 236, 317, 200, 281, 175, 256, 188, 269, 170, 251)(166, 247, 174, 255, 182, 263, 168, 249, 181, 262, 213, 294, 233, 314, 203, 284, 176, 257)(171, 252, 190, 271, 223, 304, 239, 320, 240, 321, 229, 310, 195, 276, 202, 283, 191, 272)(173, 254, 194, 275, 222, 303, 189, 270, 186, 267, 219, 300, 209, 290, 216, 297, 196, 277)(177, 258, 204, 285, 227, 308, 192, 273, 226, 307, 198, 279, 207, 288, 238, 319, 205, 286)(178, 259, 206, 287, 183, 264, 193, 274, 228, 309, 243, 324, 225, 306, 224, 305, 208, 289)(185, 266, 201, 282, 230, 311, 215, 296, 214, 295, 241, 322, 221, 302, 237, 318, 218, 299)(187, 268, 220, 301, 212, 293, 217, 298, 242, 323, 232, 313, 235, 316, 231, 312, 197, 278)
	L = (1, 166)(2, 163)(3, 173)(4, 175)(5, 178)(6, 164)(7, 185)(8, 187)(9, 165)(10, 193)(11, 195)(12, 198)(13, 199)(14, 202)(15, 167)(16, 207)(17, 209)(18, 168)(19, 205)(20, 190)(21, 169)(22, 217)(23, 208)(24, 170)(25, 194)(26, 221)(27, 171)(28, 201)(29, 220)(30, 172)(31, 177)(32, 200)(33, 179)(34, 204)(35, 174)(36, 232)(37, 233)(38, 235)(39, 176)(40, 237)(41, 227)(42, 218)(43, 197)(44, 223)(45, 234)(46, 188)(47, 239)(48, 180)(49, 189)(50, 181)(51, 240)(52, 182)(53, 183)(54, 184)(55, 186)(56, 219)(57, 238)(58, 228)(59, 243)(60, 226)(61, 242)(62, 191)(63, 192)(64, 230)(65, 212)(66, 229)(67, 231)(68, 196)(69, 206)(70, 203)(71, 210)(72, 225)(73, 216)(74, 215)(75, 213)(76, 241)(77, 211)(78, 214)(79, 222)(80, 224)(81, 236)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.2100
Graph:: bipartite
	v = 18 e = 162 f = 90
	degree seq :: [ 18^18 ]

E28.2097 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 9, 9})
Quotient :: dipole
Aut^+ = C3 . ((C3 x C3) : C3) = (C3 x C3) . (C3 x C3) (small group id <81, 10>)
Aut   = (C3 . ((C3 x C3) : C3) = (C3 x C3) . (C3 x C3)) : C2 (small group id <162, 22>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y2^-2 * Y1^-1 * Y3^2 * Y2^-1, Y2^-3 * Y3 * Y1^-2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2^-1 * Y3^-1 * R * Y2^-1 * R, Y2 * Y1^3 * Y2^2, Y2 * Y1 * Y2 * Y3 * Y1^-1 * Y2 * Y3^-1, Y1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1, Y3 * Y2^-1 * Y1^-2 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y1 * Y2 * Y3 * Y2^-2 * R * Y2^-1 * R, Y2 * Y1 * Y2^-1 * Y1^-2 * Y2^-1 * Y1 * Y2, Y3 * Y2^2 * Y3 * Y2^2 * Y1^-1 * Y2^-1, Y3 * R * Y2^-1 * R * Y1^2 * Y2^-1 * Y3, Y1 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1, Y2^2 * Y3 * Y2^-1 * Y1^-1 * Y2^2 * Y1^-1, Y2^9, Y1^9, Y2 * Y1 * Y2^-2 * Y3^2 * Y2 * Y3^2, Y1^2 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-2 ]
Map::
	R = (1, 82, 2, 83, 6, 87, 18, 99, 48, 129, 71, 152, 31, 112, 13, 94, 4, 85)(3, 84, 9, 90, 27, 108, 17, 98, 47, 128, 62, 143, 70, 151, 34, 115, 11, 92)(5, 86, 15, 96, 42, 123, 49, 130, 72, 153, 32, 113, 10, 91, 30, 111, 16, 97)(7, 88, 21, 102, 54, 135, 26, 107, 64, 145, 79, 160, 39, 120, 46, 127, 23, 104)(8, 89, 24, 105, 60, 141, 74, 155, 33, 114, 57, 138, 22, 103, 56, 137, 25, 106)(12, 93, 36, 117, 51, 132, 19, 100, 50, 131, 44, 125, 53, 134, 78, 159, 38, 119)(14, 95, 40, 121, 28, 109, 20, 101, 52, 133, 68, 149, 37, 118, 58, 139, 41, 122)(29, 110, 66, 147, 63, 144, 80, 161, 55, 136, 77, 158, 65, 146, 45, 126, 67, 148)(35, 116, 75, 156, 69, 150, 61, 142, 81, 162, 43, 124, 73, 154, 59, 140, 76, 157)(163, 244, 165, 246, 172, 253, 193, 274, 232, 313, 211, 292, 180, 261, 179, 260, 167, 248)(164, 245, 169, 250, 184, 265, 175, 256, 201, 282, 236, 317, 210, 291, 188, 269, 170, 251)(166, 247, 174, 255, 199, 280, 233, 314, 215, 296, 182, 263, 168, 249, 181, 262, 176, 257)(171, 252, 190, 271, 227, 308, 196, 277, 203, 284, 242, 323, 209, 290, 230, 311, 191, 272)(173, 254, 195, 276, 235, 316, 224, 305, 186, 267, 223, 304, 189, 270, 218, 299, 197, 278)(177, 258, 205, 286, 213, 294, 192, 273, 231, 312, 200, 281, 234, 315, 238, 319, 206, 287)(178, 259, 207, 288, 226, 307, 194, 275, 217, 298, 183, 264, 204, 285, 228, 309, 208, 289)(185, 266, 220, 301, 243, 324, 241, 322, 214, 295, 237, 318, 216, 297, 202, 283, 221, 302)(187, 268, 225, 306, 240, 321, 219, 300, 229, 310, 212, 293, 222, 303, 239, 320, 198, 279)
	L = (1, 166)(2, 163)(3, 173)(4, 175)(5, 178)(6, 164)(7, 185)(8, 187)(9, 165)(10, 194)(11, 196)(12, 200)(13, 193)(14, 203)(15, 167)(16, 192)(17, 189)(18, 168)(19, 213)(20, 190)(21, 169)(22, 219)(23, 208)(24, 170)(25, 218)(26, 216)(27, 171)(28, 202)(29, 229)(30, 172)(31, 233)(32, 234)(33, 236)(34, 232)(35, 238)(36, 174)(37, 230)(38, 240)(39, 241)(40, 176)(41, 220)(42, 177)(43, 243)(44, 212)(45, 227)(46, 201)(47, 179)(48, 180)(49, 204)(50, 181)(51, 198)(52, 182)(53, 206)(54, 183)(55, 242)(56, 184)(57, 195)(58, 199)(59, 235)(60, 186)(61, 231)(62, 209)(63, 228)(64, 188)(65, 239)(66, 191)(67, 207)(68, 214)(69, 237)(70, 224)(71, 210)(72, 211)(73, 205)(74, 222)(75, 197)(76, 221)(77, 217)(78, 215)(79, 226)(80, 225)(81, 223)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.2099
Graph:: bipartite
	v = 18 e = 162 f = 90
	degree seq :: [ 18^18 ]

E28.2098 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 9, 9})
Quotient :: dipole
Aut^+ = C3 . ((C3 x C3) : C3) = (C3 x C3) . (C3 x C3) (small group id <81, 10>)
Aut   = (C3 . ((C3 x C3) : C3) = (C3 x C3) . (C3 x C3)) : C2 (small group id <162, 22>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y1)^2, (R * Y3)^2, Y2^-2 * Y3^-1 * Y1 * Y3^-1 * Y2^-1, Y3 * Y1^-1 * Y2^3 * Y1^-1, (R * Y2 * Y3^-1)^2, R * Y2 * R * Y1^-1 * Y2 * Y1, Y1 * Y3^-1 * Y2 * Y1^-1 * Y2 * Y3 * Y2, Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-2, Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y3^-1, Y1^2 * Y2 * Y3 * Y2 * Y1^-1 * Y2, Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^2 * Y3^-1, R * Y2 * Y3^-1 * Y2^-2 * Y3 * R * Y2^-1, R * Y2^-1 * R * Y3 * Y2^2 * Y3^2, Y2 * Y1 * Y2^-2 * Y3^-1 * Y2 * Y1^-2, Y3 * Y2 * Y3 * Y2^-2 * Y1^-1 * Y2^-2, Y1^9, (Y1 * Y3^-1 * Y1)^3, (Y3 * Y2^-1)^9 ]
Map::
	R = (1, 82, 2, 83, 6, 87, 18, 99, 48, 129, 74, 155, 37, 118, 13, 94, 4, 85)(3, 84, 9, 90, 27, 108, 49, 130, 80, 161, 47, 128, 17, 98, 33, 114, 11, 92)(5, 86, 15, 96, 31, 112, 10, 91, 30, 111, 55, 136, 75, 156, 45, 126, 16, 97)(7, 88, 21, 102, 54, 135, 77, 158, 46, 127, 64, 145, 26, 107, 59, 140, 23, 104)(8, 89, 24, 105, 58, 139, 22, 103, 57, 138, 76, 157, 38, 119, 32, 113, 25, 106)(12, 93, 35, 116, 43, 124, 19, 100, 50, 131, 70, 151, 41, 122, 63, 144, 36, 117)(14, 95, 39, 120, 53, 134, 20, 101, 52, 133, 28, 109, 51, 132, 79, 160, 40, 121)(29, 110, 67, 148, 62, 143, 66, 147, 44, 125, 81, 162, 71, 152, 56, 137, 68, 149)(34, 115, 72, 153, 42, 123, 65, 146, 60, 141, 69, 150, 61, 142, 78, 159, 73, 154)(163, 244, 165, 246, 172, 253, 180, 261, 211, 292, 237, 318, 199, 280, 179, 260, 167, 248)(164, 245, 169, 250, 184, 265, 210, 291, 239, 320, 200, 281, 175, 256, 188, 269, 170, 251)(166, 247, 174, 255, 182, 263, 168, 249, 181, 262, 213, 294, 236, 317, 203, 284, 176, 257)(171, 252, 190, 271, 228, 309, 242, 323, 202, 283, 233, 314, 195, 276, 215, 296, 191, 272)(173, 254, 194, 275, 227, 308, 189, 270, 186, 267, 223, 304, 209, 290, 219, 300, 196, 277)(177, 258, 204, 285, 232, 313, 192, 273, 231, 312, 198, 279, 207, 288, 235, 316, 205, 286)(178, 259, 206, 287, 221, 302, 193, 274, 218, 299, 183, 264, 217, 298, 229, 310, 208, 289)(185, 266, 201, 282, 240, 321, 216, 297, 214, 295, 234, 315, 226, 307, 241, 322, 222, 303)(187, 268, 224, 305, 197, 278, 220, 301, 243, 324, 212, 293, 238, 319, 230, 311, 225, 306)
	L = (1, 166)(2, 163)(3, 173)(4, 175)(5, 178)(6, 164)(7, 185)(8, 187)(9, 165)(10, 193)(11, 195)(12, 198)(13, 199)(14, 202)(15, 167)(16, 207)(17, 209)(18, 168)(19, 205)(20, 215)(21, 169)(22, 220)(23, 221)(24, 170)(25, 194)(26, 226)(27, 171)(28, 214)(29, 230)(30, 172)(31, 177)(32, 200)(33, 179)(34, 235)(35, 174)(36, 225)(37, 236)(38, 238)(39, 176)(40, 241)(41, 232)(42, 234)(43, 197)(44, 228)(45, 237)(46, 239)(47, 242)(48, 180)(49, 189)(50, 181)(51, 190)(52, 182)(53, 201)(54, 183)(55, 192)(56, 233)(57, 184)(58, 186)(59, 188)(60, 227)(61, 231)(62, 229)(63, 203)(64, 208)(65, 204)(66, 224)(67, 191)(68, 218)(69, 222)(70, 212)(71, 243)(72, 196)(73, 240)(74, 210)(75, 217)(76, 219)(77, 216)(78, 223)(79, 213)(80, 211)(81, 206)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.2102
Graph:: bipartite
	v = 18 e = 162 f = 90
	degree seq :: [ 18^18 ]

E28.2099 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 9, 9})
Quotient :: dipole
Aut^+ = C3 . ((C3 x C3) : C3) = (C3 x C3) . (C3 x C3) (small group id <81, 10>)
Aut   = (C3 . ((C3 x C3) : C3) = (C3 x C3) . (C3 x C3)) : C2 (small group id <162, 22>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y2^3 * Y3^-1, Y2 * Y3 * Y2 * Y3 * Y2^-2 * Y3, Y2 * Y3^2 * Y2 * Y3^-1 * Y2 * Y3^-1, Y2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1, Y3 * Y2^6 * Y3^2, Y3^9, (Y3^-1 * Y1^-1)^9 ]
Map::
	R = (1, 82)(2, 83)(3, 84)(4, 85)(5, 86)(6, 87)(7, 88)(8, 89)(9, 90)(10, 91)(11, 92)(12, 93)(13, 94)(14, 95)(15, 96)(16, 97)(17, 98)(18, 99)(19, 100)(20, 101)(21, 102)(22, 103)(23, 104)(24, 105)(25, 106)(26, 107)(27, 108)(28, 109)(29, 110)(30, 111)(31, 112)(32, 113)(33, 114)(34, 115)(35, 116)(36, 117)(37, 118)(38, 119)(39, 120)(40, 121)(41, 122)(42, 123)(43, 124)(44, 125)(45, 126)(46, 127)(47, 128)(48, 129)(49, 130)(50, 131)(51, 132)(52, 133)(53, 134)(54, 135)(55, 136)(56, 137)(57, 138)(58, 139)(59, 140)(60, 141)(61, 142)(62, 143)(63, 144)(64, 145)(65, 146)(66, 147)(67, 148)(68, 149)(69, 150)(70, 151)(71, 152)(72, 153)(73, 154)(74, 155)(75, 156)(76, 157)(77, 158)(78, 159)(79, 160)(80, 161)(81, 162)(163, 244, 164, 245, 168, 249, 180, 261, 210, 291, 232, 313, 199, 280, 175, 256, 166, 247)(165, 246, 171, 252, 189, 270, 211, 292, 238, 319, 209, 290, 179, 260, 195, 276, 173, 254)(167, 248, 177, 258, 193, 274, 172, 253, 192, 273, 226, 307, 233, 314, 207, 288, 178, 259)(169, 250, 183, 264, 216, 297, 234, 315, 243, 324, 222, 303, 188, 269, 208, 289, 185, 266)(170, 251, 186, 267, 217, 298, 184, 265, 194, 275, 229, 310, 200, 281, 221, 302, 187, 268)(174, 255, 197, 278, 214, 295, 181, 262, 212, 293, 205, 286, 203, 284, 231, 312, 198, 279)(176, 257, 201, 282, 190, 271, 182, 263, 215, 296, 240, 321, 213, 294, 218, 299, 202, 283)(191, 272, 206, 287, 220, 301, 224, 305, 228, 309, 242, 323, 230, 311, 237, 318, 225, 306)(196, 277, 219, 300, 227, 308, 223, 304, 241, 322, 236, 317, 239, 320, 235, 316, 204, 285)
	L = (1, 165)(2, 169)(3, 172)(4, 174)(5, 163)(6, 181)(7, 184)(8, 164)(9, 190)(10, 180)(11, 194)(12, 182)(13, 188)(14, 166)(15, 204)(16, 206)(17, 167)(18, 211)(19, 213)(20, 168)(21, 193)(22, 210)(23, 218)(24, 196)(25, 220)(26, 170)(27, 221)(28, 224)(29, 171)(30, 227)(31, 228)(32, 223)(33, 202)(34, 173)(35, 187)(36, 192)(37, 179)(38, 175)(39, 235)(40, 191)(41, 176)(42, 198)(43, 177)(44, 183)(45, 236)(46, 178)(47, 186)(48, 234)(49, 233)(50, 217)(51, 232)(52, 207)(53, 219)(54, 201)(55, 242)(56, 241)(57, 185)(58, 212)(59, 239)(60, 215)(61, 189)(62, 238)(63, 197)(64, 237)(65, 214)(66, 243)(67, 225)(68, 195)(69, 229)(70, 203)(71, 199)(72, 200)(73, 222)(74, 205)(75, 208)(76, 240)(77, 209)(78, 230)(79, 216)(80, 231)(81, 226)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 18, 18 ), ( 18^18 ) }
Outer automorphisms :: reflexible
Dual of E28.2097
Graph:: simple bipartite
	v = 90 e = 162 f = 18
	degree seq :: [ 2^81, 18^9 ]

E28.2100 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 9, 9})
Quotient :: dipole
Aut^+ = C3 . ((C3 x C3) : C3) = (C3 x C3) . (C3 x C3) (small group id <81, 10>)
Aut   = (C3 . ((C3 x C3) : C3) = (C3 x C3) . (C3 x C3)) : C2 (small group id <162, 22>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, Y3^3 * Y2^-3, (R * Y2 * Y3^-1)^2, Y3^-3 * Y2^3, Y2 * Y3 * Y2 * Y3 * Y2^-2 * Y3, Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2, Y3 * Y2 * Y3^2 * Y2 * Y3^-1 * Y2 * Y3, Y2^-1 * Y3^-6 * Y2^-2, (Y3^-1 * Y1^-1)^9 ]
Map::
	R = (1, 82)(2, 83)(3, 84)(4, 85)(5, 86)(6, 87)(7, 88)(8, 89)(9, 90)(10, 91)(11, 92)(12, 93)(13, 94)(14, 95)(15, 96)(16, 97)(17, 98)(18, 99)(19, 100)(20, 101)(21, 102)(22, 103)(23, 104)(24, 105)(25, 106)(26, 107)(27, 108)(28, 109)(29, 110)(30, 111)(31, 112)(32, 113)(33, 114)(34, 115)(35, 116)(36, 117)(37, 118)(38, 119)(39, 120)(40, 121)(41, 122)(42, 123)(43, 124)(44, 125)(45, 126)(46, 127)(47, 128)(48, 129)(49, 130)(50, 131)(51, 132)(52, 133)(53, 134)(54, 135)(55, 136)(56, 137)(57, 138)(58, 139)(59, 140)(60, 141)(61, 142)(62, 143)(63, 144)(64, 145)(65, 146)(66, 147)(67, 148)(68, 149)(69, 150)(70, 151)(71, 152)(72, 153)(73, 154)(74, 155)(75, 156)(76, 157)(77, 158)(78, 159)(79, 160)(80, 161)(81, 162)(163, 244, 164, 245, 168, 249, 180, 261, 210, 291, 233, 314, 199, 280, 175, 256, 166, 247)(165, 246, 171, 252, 189, 270, 211, 292, 239, 320, 209, 290, 179, 260, 195, 276, 173, 254)(167, 248, 177, 258, 193, 274, 172, 253, 192, 273, 225, 306, 234, 315, 207, 288, 178, 259)(169, 250, 183, 264, 215, 296, 236, 317, 243, 324, 221, 302, 188, 269, 208, 289, 185, 266)(170, 251, 186, 267, 217, 298, 184, 265, 216, 297, 235, 316, 200, 281, 194, 275, 187, 268)(174, 255, 197, 278, 205, 286, 181, 262, 212, 293, 227, 308, 203, 284, 232, 313, 198, 279)(176, 257, 201, 282, 190, 271, 182, 263, 214, 295, 240, 321, 213, 294, 237, 318, 202, 283)(191, 272, 224, 305, 242, 323, 223, 304, 206, 287, 231, 312, 229, 310, 228, 309, 220, 301)(196, 277, 230, 311, 226, 307, 222, 303, 241, 322, 238, 319, 219, 300, 218, 299, 204, 285)
	L = (1, 165)(2, 169)(3, 172)(4, 174)(5, 163)(6, 181)(7, 184)(8, 164)(9, 190)(10, 180)(11, 194)(12, 182)(13, 188)(14, 166)(15, 204)(16, 206)(17, 167)(18, 211)(19, 213)(20, 168)(21, 193)(22, 210)(23, 201)(24, 219)(25, 220)(26, 170)(27, 186)(28, 223)(29, 171)(30, 226)(31, 228)(32, 222)(33, 202)(34, 173)(35, 187)(36, 207)(37, 179)(38, 175)(39, 230)(40, 191)(41, 176)(42, 227)(43, 177)(44, 183)(45, 238)(46, 178)(47, 216)(48, 236)(49, 234)(50, 217)(51, 233)(52, 241)(53, 214)(54, 196)(55, 242)(56, 185)(57, 209)(58, 212)(59, 237)(60, 189)(61, 239)(62, 208)(63, 224)(64, 198)(65, 192)(66, 243)(67, 195)(68, 215)(69, 197)(70, 235)(71, 203)(72, 199)(73, 231)(74, 200)(75, 218)(76, 205)(77, 240)(78, 229)(79, 221)(80, 232)(81, 225)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 18, 18 ), ( 18^18 ) }
Outer automorphisms :: reflexible
Dual of E28.2096
Graph:: simple bipartite
	v = 90 e = 162 f = 18
	degree seq :: [ 2^81, 18^9 ]

E28.2101 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 9, 9})
Quotient :: dipole
Aut^+ = C3 . ((C3 x C3) : C3) = (C3 x C3) . (C3 x C3) (small group id <81, 10>)
Aut   = (C3 . ((C3 x C3) : C3) = (C3 x C3) . (C3 x C3)) : C2 (small group id <162, 22>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, Y2^3 * Y3^3, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2^-3 * Y3^-2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^-2, Y2 * Y3 * Y2 * Y3 * Y2^-2 * Y3, Y3^2 * Y2^-1 * Y3^2 * Y2^-1 * Y3^-1 * Y2^-1, Y2 * Y3^-6 * Y2^2, (Y3^-1 * Y1^-1)^9 ]
Map::
	R = (1, 82)(2, 83)(3, 84)(4, 85)(5, 86)(6, 87)(7, 88)(8, 89)(9, 90)(10, 91)(11, 92)(12, 93)(13, 94)(14, 95)(15, 96)(16, 97)(17, 98)(18, 99)(19, 100)(20, 101)(21, 102)(22, 103)(23, 104)(24, 105)(25, 106)(26, 107)(27, 108)(28, 109)(29, 110)(30, 111)(31, 112)(32, 113)(33, 114)(34, 115)(35, 116)(36, 117)(37, 118)(38, 119)(39, 120)(40, 121)(41, 122)(42, 123)(43, 124)(44, 125)(45, 126)(46, 127)(47, 128)(48, 129)(49, 130)(50, 131)(51, 132)(52, 133)(53, 134)(54, 135)(55, 136)(56, 137)(57, 138)(58, 139)(59, 140)(60, 141)(61, 142)(62, 143)(63, 144)(64, 145)(65, 146)(66, 147)(67, 148)(68, 149)(69, 150)(70, 151)(71, 152)(72, 153)(73, 154)(74, 155)(75, 156)(76, 157)(77, 158)(78, 159)(79, 160)(80, 161)(81, 162)(163, 244, 164, 245, 168, 249, 180, 261, 210, 291, 227, 308, 193, 274, 175, 256, 166, 247)(165, 246, 171, 252, 189, 270, 179, 260, 209, 290, 239, 320, 226, 307, 196, 277, 173, 254)(167, 248, 177, 258, 204, 285, 211, 292, 228, 309, 194, 275, 172, 253, 192, 273, 178, 259)(169, 250, 183, 264, 215, 296, 188, 269, 221, 302, 236, 317, 201, 282, 208, 289, 185, 266)(170, 251, 186, 267, 219, 300, 235, 316, 243, 324, 217, 298, 184, 265, 195, 276, 187, 268)(174, 255, 198, 279, 206, 287, 181, 262, 212, 293, 240, 321, 214, 295, 234, 315, 200, 281)(176, 257, 202, 283, 190, 271, 182, 263, 213, 294, 224, 305, 199, 280, 233, 314, 203, 284)(191, 272, 207, 288, 232, 313, 237, 318, 238, 319, 241, 322, 223, 304, 216, 297, 220, 301)(197, 278, 230, 311, 225, 306, 222, 303, 218, 299, 205, 286, 229, 310, 242, 323, 231, 312)
	L = (1, 165)(2, 169)(3, 172)(4, 174)(5, 163)(6, 181)(7, 184)(8, 164)(9, 190)(10, 193)(11, 195)(12, 199)(13, 201)(14, 166)(15, 205)(16, 207)(17, 167)(18, 179)(19, 176)(20, 168)(21, 204)(22, 175)(23, 202)(24, 197)(25, 220)(26, 170)(27, 186)(28, 223)(29, 171)(30, 225)(31, 226)(32, 216)(33, 229)(34, 203)(35, 173)(36, 187)(37, 227)(38, 192)(39, 235)(40, 230)(41, 237)(42, 238)(43, 200)(44, 177)(45, 221)(46, 178)(47, 224)(48, 188)(49, 180)(50, 219)(51, 218)(52, 182)(53, 213)(54, 183)(55, 241)(56, 185)(57, 232)(58, 234)(59, 194)(60, 189)(61, 196)(62, 191)(63, 240)(64, 211)(65, 214)(66, 231)(67, 239)(68, 236)(69, 206)(70, 198)(71, 242)(72, 217)(73, 210)(74, 233)(75, 209)(76, 208)(77, 243)(78, 228)(79, 212)(80, 215)(81, 222)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 18, 18 ), ( 18^18 ) }
Outer automorphisms :: reflexible
Dual of E28.2095
Graph:: simple bipartite
	v = 90 e = 162 f = 18
	degree seq :: [ 2^81, 18^9 ]

E28.2102 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 9, 9})
Quotient :: dipole
Aut^+ = C3 . ((C3 x C3) : C3) = (C3 x C3) . (C3 x C3) (small group id <81, 10>)
Aut   = (C3 . ((C3 x C3) : C3) = (C3 x C3) . (C3 x C3)) : C2 (small group id <162, 22>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y3^-1 * R)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y3^3 * Y2^2, (R * Y2 * Y3^-1)^2, Y2 * Y3^3 * Y2^2, Y2 * Y3 * Y2 * Y3^-2 * Y2 * Y3, Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2 * Y3^-1, Y3 * Y2^-2 * Y3 * Y2 * Y3 * Y2^-2, Y3^9, (Y3^-1 * Y1^-1)^9, (Y3 * Y2^-1)^9 ]
Map::
	R = (1, 82)(2, 83)(3, 84)(4, 85)(5, 86)(6, 87)(7, 88)(8, 89)(9, 90)(10, 91)(11, 92)(12, 93)(13, 94)(14, 95)(15, 96)(16, 97)(17, 98)(18, 99)(19, 100)(20, 101)(21, 102)(22, 103)(23, 104)(24, 105)(25, 106)(26, 107)(27, 108)(28, 109)(29, 110)(30, 111)(31, 112)(32, 113)(33, 114)(34, 115)(35, 116)(36, 117)(37, 118)(38, 119)(39, 120)(40, 121)(41, 122)(42, 123)(43, 124)(44, 125)(45, 126)(46, 127)(47, 128)(48, 129)(49, 130)(50, 131)(51, 132)(52, 133)(53, 134)(54, 135)(55, 136)(56, 137)(57, 138)(58, 139)(59, 140)(60, 141)(61, 142)(62, 143)(63, 144)(64, 145)(65, 146)(66, 147)(67, 148)(68, 149)(69, 150)(70, 151)(71, 152)(72, 153)(73, 154)(74, 155)(75, 156)(76, 157)(77, 158)(78, 159)(79, 160)(80, 161)(81, 162)(163, 244, 164, 245, 168, 249, 180, 261, 210, 291, 233, 314, 193, 274, 175, 256, 166, 247)(165, 246, 171, 252, 189, 270, 179, 260, 209, 290, 225, 306, 232, 313, 196, 277, 173, 254)(167, 248, 177, 258, 204, 285, 211, 292, 235, 316, 194, 275, 172, 253, 192, 273, 178, 259)(169, 250, 183, 264, 217, 298, 188, 269, 208, 289, 240, 321, 201, 282, 221, 302, 185, 266)(170, 251, 186, 267, 223, 304, 237, 318, 195, 276, 219, 300, 184, 265, 218, 299, 187, 268)(174, 255, 198, 279, 213, 294, 181, 262, 212, 293, 206, 287, 216, 297, 227, 308, 200, 281)(176, 257, 202, 283, 215, 296, 182, 263, 214, 295, 190, 271, 199, 280, 220, 301, 203, 284)(191, 272, 229, 310, 239, 320, 243, 324, 234, 315, 226, 307, 228, 309, 207, 288, 230, 311)(197, 278, 238, 319, 242, 323, 224, 305, 222, 303, 231, 312, 236, 317, 241, 322, 205, 286)
	L = (1, 165)(2, 169)(3, 172)(4, 174)(5, 163)(6, 181)(7, 184)(8, 164)(9, 190)(10, 193)(11, 195)(12, 199)(13, 201)(14, 166)(15, 205)(16, 207)(17, 167)(18, 179)(19, 176)(20, 168)(21, 194)(22, 175)(23, 220)(24, 224)(25, 226)(26, 170)(27, 218)(28, 228)(29, 171)(30, 231)(31, 232)(32, 234)(33, 236)(34, 215)(35, 173)(36, 223)(37, 233)(38, 235)(39, 237)(40, 222)(41, 191)(42, 229)(43, 213)(44, 177)(45, 183)(46, 178)(47, 203)(48, 188)(49, 180)(50, 219)(51, 192)(52, 241)(53, 243)(54, 182)(55, 202)(56, 197)(57, 239)(58, 238)(59, 204)(60, 185)(61, 230)(62, 189)(63, 186)(64, 212)(65, 187)(66, 196)(67, 208)(68, 227)(69, 200)(70, 211)(71, 216)(72, 221)(73, 242)(74, 225)(75, 210)(76, 240)(77, 198)(78, 214)(79, 217)(80, 206)(81, 209)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 18, 18 ), ( 18^18 ) }
Outer automorphisms :: reflexible
Dual of E28.2098
Graph:: simple bipartite
	v = 90 e = 162 f = 18
	degree seq :: [ 2^81, 18^9 ]

E28.2103 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 42})
Quotient :: dipole
Aut^+ = C6 x D14 (small group id <84, 12>)
Aut   = C2 x S3 x D14 (small group id <168, 50>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (Y2, Y3^-1), (R * Y2)^2, Y2^-1 * Y1 * Y2 * Y1, Y3^14 ]
Map:: non-degenerate
	R = (1, 85, 2, 86)(3, 87, 7, 91)(4, 88, 10, 94)(5, 89, 9, 93)(6, 90, 8, 92)(11, 95, 18, 102)(12, 96, 17, 101)(13, 97, 22, 106)(14, 98, 21, 105)(15, 99, 20, 104)(16, 100, 19, 103)(23, 107, 30, 114)(24, 108, 29, 113)(25, 109, 34, 118)(26, 110, 33, 117)(27, 111, 32, 116)(28, 112, 31, 115)(35, 119, 42, 126)(36, 120, 41, 125)(37, 121, 46, 130)(38, 122, 45, 129)(39, 123, 44, 128)(40, 124, 43, 127)(47, 131, 54, 138)(48, 132, 53, 137)(49, 133, 58, 142)(50, 134, 57, 141)(51, 135, 56, 140)(52, 136, 55, 139)(59, 143, 66, 150)(60, 144, 65, 149)(61, 145, 70, 154)(62, 146, 69, 153)(63, 147, 68, 152)(64, 148, 67, 151)(71, 155, 77, 161)(72, 156, 76, 160)(73, 157, 78, 162)(74, 158, 80, 164)(75, 159, 79, 163)(81, 165, 83, 167)(82, 166, 84, 168)(169, 253, 171, 255, 173, 257)(170, 254, 175, 259, 177, 261)(172, 256, 179, 263, 182, 266)(174, 258, 180, 264, 183, 267)(176, 260, 185, 269, 188, 272)(178, 262, 186, 270, 189, 273)(181, 265, 191, 275, 194, 278)(184, 268, 192, 276, 195, 279)(187, 271, 197, 281, 200, 284)(190, 274, 198, 282, 201, 285)(193, 277, 203, 287, 206, 290)(196, 280, 204, 288, 207, 291)(199, 283, 209, 293, 212, 296)(202, 286, 210, 294, 213, 297)(205, 289, 215, 299, 218, 302)(208, 292, 216, 300, 219, 303)(211, 295, 221, 305, 224, 308)(214, 298, 222, 306, 225, 309)(217, 301, 227, 311, 230, 314)(220, 304, 228, 312, 231, 315)(223, 307, 233, 317, 236, 320)(226, 310, 234, 318, 237, 321)(229, 313, 239, 323, 242, 326)(232, 316, 240, 324, 243, 327)(235, 319, 244, 328, 247, 331)(238, 322, 245, 329, 248, 332)(241, 325, 249, 333, 250, 334)(246, 330, 251, 335, 252, 336)
	L = (1, 172)(2, 176)(3, 179)(4, 181)(5, 182)(6, 169)(7, 185)(8, 187)(9, 188)(10, 170)(11, 191)(12, 171)(13, 193)(14, 194)(15, 173)(16, 174)(17, 197)(18, 175)(19, 199)(20, 200)(21, 177)(22, 178)(23, 203)(24, 180)(25, 205)(26, 206)(27, 183)(28, 184)(29, 209)(30, 186)(31, 211)(32, 212)(33, 189)(34, 190)(35, 215)(36, 192)(37, 217)(38, 218)(39, 195)(40, 196)(41, 221)(42, 198)(43, 223)(44, 224)(45, 201)(46, 202)(47, 227)(48, 204)(49, 229)(50, 230)(51, 207)(52, 208)(53, 233)(54, 210)(55, 235)(56, 236)(57, 213)(58, 214)(59, 239)(60, 216)(61, 241)(62, 242)(63, 219)(64, 220)(65, 244)(66, 222)(67, 246)(68, 247)(69, 225)(70, 226)(71, 249)(72, 228)(73, 232)(74, 250)(75, 231)(76, 251)(77, 234)(78, 238)(79, 252)(80, 237)(81, 240)(82, 243)(83, 245)(84, 248)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 4, 84, 4, 84 ), ( 4, 84, 4, 84, 4, 84 ) }
Outer automorphisms :: reflexible
Dual of E28.2104
Graph:: simple bipartite
	v = 70 e = 168 f = 44
	degree seq :: [ 4^42, 6^28 ]

E28.2104 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 42})
Quotient :: dipole
Aut^+ = C6 x D14 (small group id <84, 12>)
Aut   = C2 x S3 x D14 (small group id <168, 50>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y1, Y3^-1), (Y2 * Y3)^2, (R * Y3)^2, (R * Y1)^2, Y1^-3 * Y3^-3, Y1^2 * Y2 * Y1 * Y3^-1 * Y2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1^-1, Y1 * R * Y2 * Y1^-1 * Y2 * R * Y1 * Y3, Y1^-6 * Y3^8, Y1^42 ]
Map:: non-degenerate
	R = (1, 85, 2, 86, 7, 91, 21, 105, 37, 121, 49, 133, 61, 145, 73, 157, 71, 155, 58, 142, 48, 132, 35, 119, 15, 99, 29, 113, 19, 103, 6, 90, 10, 94, 24, 108, 39, 123, 51, 135, 63, 147, 75, 159, 72, 156, 59, 143, 46, 130, 36, 120, 16, 100, 4, 88, 9, 93, 23, 107, 20, 104, 30, 114, 42, 126, 54, 138, 66, 150, 78, 162, 70, 154, 60, 144, 47, 131, 34, 118, 18, 102, 5, 89)(3, 87, 11, 95, 31, 115, 43, 127, 55, 139, 67, 151, 79, 163, 82, 166, 76, 160, 65, 149, 50, 134, 40, 124, 27, 111, 8, 92, 25, 109, 14, 98, 32, 116, 44, 128, 56, 140, 68, 152, 80, 164, 83, 167, 77, 161, 62, 146, 52, 136, 41, 125, 22, 106, 12, 96, 28, 112, 17, 101, 33, 117, 45, 129, 57, 141, 69, 153, 81, 165, 84, 168, 74, 158, 64, 148, 53, 137, 38, 122, 26, 110, 13, 97)(169, 253, 171, 255)(170, 254, 176, 260)(172, 256, 182, 266)(173, 257, 185, 269)(174, 258, 180, 264)(175, 259, 190, 274)(177, 261, 196, 280)(178, 262, 194, 278)(179, 263, 197, 281)(181, 265, 191, 275)(183, 267, 201, 285)(184, 268, 199, 283)(186, 270, 200, 284)(187, 271, 193, 277)(188, 272, 195, 279)(189, 273, 206, 290)(192, 276, 208, 292)(198, 282, 209, 293)(202, 286, 211, 295)(203, 287, 212, 296)(204, 288, 213, 297)(205, 289, 218, 302)(207, 291, 220, 304)(210, 294, 221, 305)(214, 298, 224, 308)(215, 299, 225, 309)(216, 300, 223, 307)(217, 301, 230, 314)(219, 303, 232, 316)(222, 306, 233, 317)(226, 310, 237, 321)(227, 311, 235, 319)(228, 312, 236, 320)(229, 313, 242, 326)(231, 315, 244, 328)(234, 318, 245, 329)(238, 322, 247, 331)(239, 323, 248, 332)(240, 324, 249, 333)(241, 325, 250, 334)(243, 327, 251, 335)(246, 330, 252, 336)
	L = (1, 172)(2, 177)(3, 180)(4, 183)(5, 184)(6, 169)(7, 191)(8, 194)(9, 197)(10, 170)(11, 196)(12, 195)(13, 190)(14, 171)(15, 202)(16, 203)(17, 193)(18, 204)(19, 173)(20, 174)(21, 188)(22, 208)(23, 187)(24, 175)(25, 181)(26, 209)(27, 206)(28, 176)(29, 186)(30, 178)(31, 185)(32, 179)(33, 182)(34, 214)(35, 215)(36, 216)(37, 198)(38, 220)(39, 189)(40, 221)(41, 218)(42, 192)(43, 201)(44, 199)(45, 200)(46, 226)(47, 227)(48, 228)(49, 210)(50, 232)(51, 205)(52, 233)(53, 230)(54, 207)(55, 213)(56, 211)(57, 212)(58, 238)(59, 239)(60, 240)(61, 222)(62, 244)(63, 217)(64, 245)(65, 242)(66, 219)(67, 225)(68, 223)(69, 224)(70, 243)(71, 246)(72, 241)(73, 234)(74, 251)(75, 229)(76, 252)(77, 250)(78, 231)(79, 237)(80, 235)(81, 236)(82, 249)(83, 247)(84, 248)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2103
Graph:: bipartite
	v = 44 e = 168 f = 70
	degree seq :: [ 4^42, 84^2 ]

E28.2105 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 42})
Quotient :: halfedge^2
Aut^+ = D84 (small group id <84, 14>)
Aut   = D168 (small group id <168, 36>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y1)^2, (Y2 * Y1^-1)^2, (R * Y1)^2, R * Y2 * R * Y3, (Y2 * Y1 * Y3)^3, Y1^-5 * Y3 * Y2 * Y3 * Y2 * Y1^-7, Y1^6 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 86, 2, 90, 6, 98, 14, 110, 26, 126, 42, 138, 54, 150, 66, 162, 78, 160, 76, 148, 64, 136, 52, 124, 40, 118, 34, 104, 20, 94, 10, 101, 17, 113, 29, 129, 45, 141, 57, 153, 69, 165, 81, 158, 74, 146, 62, 134, 50, 122, 38, 107, 23, 96, 12, 102, 18, 114, 30, 120, 36, 131, 47, 143, 59, 155, 71, 167, 83, 161, 77, 149, 65, 137, 53, 125, 41, 109, 25, 97, 13, 89, 5, 85)(3, 93, 9, 103, 19, 117, 33, 132, 48, 144, 60, 156, 72, 168, 84, 164, 80, 152, 68, 140, 56, 128, 44, 112, 28, 100, 16, 92, 8, 88, 4, 95, 11, 106, 22, 121, 37, 133, 49, 145, 61, 157, 73, 166, 82, 154, 70, 142, 58, 130, 46, 115, 31, 105, 21, 119, 35, 116, 32, 108, 24, 123, 39, 135, 51, 147, 63, 159, 75, 163, 79, 151, 67, 139, 55, 127, 43, 111, 27, 99, 15, 91, 7, 87)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 27)(16, 30)(17, 31)(20, 35)(22, 38)(24, 40)(25, 33)(26, 43)(28, 36)(29, 46)(32, 34)(37, 50)(39, 52)(41, 48)(42, 55)(44, 47)(45, 58)(49, 62)(51, 64)(53, 60)(54, 67)(56, 59)(57, 70)(61, 74)(63, 76)(65, 72)(66, 79)(68, 71)(69, 82)(73, 81)(75, 78)(77, 84)(80, 83)(85, 88)(86, 92)(87, 94)(89, 95)(90, 100)(91, 101)(93, 104)(96, 108)(97, 106)(98, 112)(99, 113)(102, 116)(103, 118)(105, 120)(107, 123)(109, 121)(110, 128)(111, 129)(114, 119)(115, 131)(117, 124)(122, 135)(125, 133)(126, 140)(127, 141)(130, 143)(132, 136)(134, 147)(137, 145)(138, 152)(139, 153)(142, 155)(144, 148)(146, 159)(149, 157)(150, 164)(151, 165)(154, 167)(156, 160)(158, 163)(161, 166)(162, 168)
	local type(s) :: { ( 6^84 ) }
Outer automorphisms :: reflexible
Dual of E28.2106
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 84 f = 28
	degree seq :: [ 84^2 ]

E28.2106 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 42})
Quotient :: halfedge^2
Aut^+ = D84 (small group id <84, 14>)
Aut   = D168 (small group id <168, 36>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^3, R * Y3 * R * Y2, (R * Y1)^2, (Y2 * Y1^-1)^2, (Y3 * Y1)^2, (Y3 * Y2)^14, (Y2 * Y1 * Y3)^42 ]
Map:: non-degenerate
	R = (1, 86, 2, 89, 5, 85)(3, 92, 8, 90, 6, 87)(4, 94, 10, 91, 7, 88)(9, 96, 12, 98, 14, 93)(11, 97, 13, 100, 16, 95)(15, 104, 20, 102, 18, 99)(17, 106, 22, 103, 19, 101)(21, 108, 24, 110, 26, 105)(23, 109, 25, 112, 28, 107)(27, 116, 32, 114, 30, 111)(29, 118, 34, 115, 31, 113)(33, 120, 36, 122, 38, 117)(35, 121, 37, 124, 40, 119)(39, 128, 44, 126, 42, 123)(41, 130, 46, 127, 43, 125)(45, 132, 48, 134, 50, 129)(47, 133, 49, 136, 52, 131)(51, 140, 56, 138, 54, 135)(53, 142, 58, 139, 55, 137)(57, 144, 60, 146, 62, 141)(59, 145, 61, 148, 64, 143)(63, 152, 68, 150, 66, 147)(65, 154, 70, 151, 67, 149)(69, 156, 72, 158, 74, 153)(71, 157, 73, 160, 76, 155)(75, 164, 80, 162, 78, 159)(77, 166, 82, 163, 79, 161)(81, 167, 83, 168, 84, 165)
	L = (1, 3)(2, 6)(4, 11)(5, 8)(7, 13)(9, 15)(10, 16)(12, 18)(14, 20)(17, 23)(19, 25)(21, 27)(22, 28)(24, 30)(26, 32)(29, 35)(31, 37)(33, 39)(34, 40)(36, 42)(38, 44)(41, 47)(43, 49)(45, 51)(46, 52)(48, 54)(50, 56)(53, 59)(55, 61)(57, 63)(58, 64)(60, 66)(62, 68)(65, 71)(67, 73)(69, 75)(70, 76)(72, 78)(74, 80)(77, 81)(79, 83)(82, 84)(85, 88)(86, 91)(87, 93)(89, 94)(90, 96)(92, 98)(95, 101)(97, 103)(99, 105)(100, 106)(102, 108)(104, 110)(107, 113)(109, 115)(111, 117)(112, 118)(114, 120)(116, 122)(119, 125)(121, 127)(123, 129)(124, 130)(126, 132)(128, 134)(131, 137)(133, 139)(135, 141)(136, 142)(138, 144)(140, 146)(143, 149)(145, 151)(147, 153)(148, 154)(150, 156)(152, 158)(155, 161)(157, 163)(159, 165)(160, 166)(162, 167)(164, 168)
	local type(s) :: { ( 84^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2105
Transitivity :: VT+ AT
Graph:: bipartite
	v = 28 e = 84 f = 2
	degree seq :: [ 6^28 ]

E28.2107 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 42})
Quotient :: edge^2
Aut^+ = D84 (small group id <84, 14>)
Aut   = D168 (small group id <168, 36>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, (Y3^-1 * Y2)^2, (Y3 * Y1)^2, (Y2 * Y1)^14, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 85, 4, 88, 5, 89)(2, 86, 7, 91, 8, 92)(3, 87, 10, 94, 11, 95)(6, 90, 13, 97, 14, 98)(9, 93, 16, 100, 17, 101)(12, 96, 19, 103, 20, 104)(15, 99, 22, 106, 23, 107)(18, 102, 25, 109, 26, 110)(21, 105, 28, 112, 29, 113)(24, 108, 31, 115, 32, 116)(27, 111, 34, 118, 35, 119)(30, 114, 37, 121, 38, 122)(33, 117, 40, 124, 41, 125)(36, 120, 43, 127, 44, 128)(39, 123, 46, 130, 47, 131)(42, 126, 49, 133, 50, 134)(45, 129, 52, 136, 53, 137)(48, 132, 55, 139, 56, 140)(51, 135, 58, 142, 59, 143)(54, 138, 61, 145, 62, 146)(57, 141, 64, 148, 65, 149)(60, 144, 67, 151, 68, 152)(63, 147, 70, 154, 71, 155)(66, 150, 73, 157, 74, 158)(69, 153, 76, 160, 77, 161)(72, 156, 79, 163, 80, 164)(75, 159, 81, 165, 82, 166)(78, 162, 83, 167, 84, 168)(169, 170)(171, 177)(172, 176)(173, 175)(174, 180)(178, 185)(179, 184)(181, 188)(182, 187)(183, 189)(186, 192)(190, 197)(191, 196)(193, 200)(194, 199)(195, 201)(198, 204)(202, 209)(203, 208)(205, 212)(206, 211)(207, 213)(210, 216)(214, 221)(215, 220)(217, 224)(218, 223)(219, 225)(222, 228)(226, 233)(227, 232)(229, 236)(230, 235)(231, 237)(234, 240)(238, 245)(239, 244)(241, 248)(242, 247)(243, 246)(249, 252)(250, 251)(253, 255)(254, 258)(256, 263)(257, 262)(259, 266)(260, 265)(261, 267)(264, 270)(268, 275)(269, 274)(271, 278)(272, 277)(273, 279)(276, 282)(280, 287)(281, 286)(283, 290)(284, 289)(285, 291)(288, 294)(292, 299)(293, 298)(295, 302)(296, 301)(297, 303)(300, 306)(304, 311)(305, 310)(307, 314)(308, 313)(309, 315)(312, 318)(316, 323)(317, 322)(319, 326)(320, 325)(321, 327)(324, 330)(328, 334)(329, 333)(331, 336)(332, 335)
	L = (1, 169)(2, 170)(3, 171)(4, 172)(5, 173)(6, 174)(7, 175)(8, 176)(9, 177)(10, 178)(11, 179)(12, 180)(13, 181)(14, 182)(15, 183)(16, 184)(17, 185)(18, 186)(19, 187)(20, 188)(21, 189)(22, 190)(23, 191)(24, 192)(25, 193)(26, 194)(27, 195)(28, 196)(29, 197)(30, 198)(31, 199)(32, 200)(33, 201)(34, 202)(35, 203)(36, 204)(37, 205)(38, 206)(39, 207)(40, 208)(41, 209)(42, 210)(43, 211)(44, 212)(45, 213)(46, 214)(47, 215)(48, 216)(49, 217)(50, 218)(51, 219)(52, 220)(53, 221)(54, 222)(55, 223)(56, 224)(57, 225)(58, 226)(59, 227)(60, 228)(61, 229)(62, 230)(63, 231)(64, 232)(65, 233)(66, 234)(67, 235)(68, 236)(69, 237)(70, 238)(71, 239)(72, 240)(73, 241)(74, 242)(75, 243)(76, 244)(77, 245)(78, 246)(79, 247)(80, 248)(81, 249)(82, 250)(83, 251)(84, 252)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 168, 168 ), ( 168^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2110
Graph:: simple bipartite
	v = 112 e = 168 f = 2
	degree seq :: [ 2^84, 6^28 ]

E28.2108 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 42})
Quotient :: edge^2
Aut^+ = D84 (small group id <84, 14>)
Aut   = D168 (small group id <168, 36>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, (Y3^-1 * Y1)^2, Y3^-1 * Y2 * Y1 * Y3^2 * Y1 * Y2 * Y3^-1, (Y3 * Y1 * Y2)^3, Y2 * Y3^-1 * Y1 * Y3^11 * Y2 * Y1, (Y2 * Y3^-1 * Y1 * Y3^4 * Y1)^2, Y3^4 * Y1 * Y2 * Y1 * Y3^-2 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 ]
Map::
	R = (1, 85, 4, 88, 12, 96, 24, 108, 40, 124, 52, 136, 64, 148, 76, 160, 78, 162, 66, 150, 54, 138, 42, 126, 26, 110, 37, 121, 21, 105, 9, 93, 20, 104, 36, 120, 49, 133, 61, 145, 73, 157, 80, 164, 68, 152, 56, 140, 44, 128, 30, 114, 16, 100, 6, 90, 15, 99, 29, 113, 33, 117, 47, 131, 59, 143, 71, 155, 83, 167, 77, 161, 65, 149, 53, 137, 41, 125, 25, 109, 13, 97, 5, 89)(2, 86, 7, 91, 17, 101, 31, 115, 45, 129, 57, 141, 69, 153, 81, 165, 72, 156, 60, 144, 48, 132, 35, 119, 19, 103, 34, 118, 28, 112, 14, 98, 27, 111, 43, 127, 55, 139, 67, 151, 79, 163, 75, 159, 63, 147, 51, 135, 39, 123, 23, 107, 11, 95, 3, 87, 10, 94, 22, 106, 38, 122, 50, 134, 62, 146, 74, 158, 84, 168, 82, 166, 70, 154, 58, 142, 46, 130, 32, 116, 18, 102, 8, 92)(169, 170)(171, 177)(172, 176)(173, 175)(174, 182)(178, 189)(179, 188)(180, 186)(181, 185)(183, 196)(184, 195)(187, 201)(190, 205)(191, 204)(192, 200)(193, 199)(194, 206)(197, 202)(198, 211)(203, 215)(207, 217)(208, 214)(209, 213)(210, 218)(212, 223)(216, 227)(219, 229)(220, 226)(221, 225)(222, 230)(224, 235)(228, 239)(231, 241)(232, 238)(233, 237)(234, 242)(236, 247)(240, 251)(243, 248)(244, 250)(245, 249)(246, 252)(253, 255)(254, 258)(256, 263)(257, 262)(259, 268)(260, 267)(261, 271)(264, 275)(265, 274)(266, 278)(269, 282)(270, 281)(272, 287)(273, 286)(276, 291)(277, 290)(279, 294)(280, 289)(283, 296)(284, 285)(288, 300)(292, 303)(293, 302)(295, 306)(297, 308)(298, 299)(301, 312)(304, 315)(305, 314)(307, 318)(309, 320)(310, 311)(313, 324)(316, 327)(317, 326)(319, 330)(321, 332)(322, 323)(325, 333)(328, 331)(329, 336)(334, 335)
	L = (1, 169)(2, 170)(3, 171)(4, 172)(5, 173)(6, 174)(7, 175)(8, 176)(9, 177)(10, 178)(11, 179)(12, 180)(13, 181)(14, 182)(15, 183)(16, 184)(17, 185)(18, 186)(19, 187)(20, 188)(21, 189)(22, 190)(23, 191)(24, 192)(25, 193)(26, 194)(27, 195)(28, 196)(29, 197)(30, 198)(31, 199)(32, 200)(33, 201)(34, 202)(35, 203)(36, 204)(37, 205)(38, 206)(39, 207)(40, 208)(41, 209)(42, 210)(43, 211)(44, 212)(45, 213)(46, 214)(47, 215)(48, 216)(49, 217)(50, 218)(51, 219)(52, 220)(53, 221)(54, 222)(55, 223)(56, 224)(57, 225)(58, 226)(59, 227)(60, 228)(61, 229)(62, 230)(63, 231)(64, 232)(65, 233)(66, 234)(67, 235)(68, 236)(69, 237)(70, 238)(71, 239)(72, 240)(73, 241)(74, 242)(75, 243)(76, 244)(77, 245)(78, 246)(79, 247)(80, 248)(81, 249)(82, 250)(83, 251)(84, 252)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 12, 12 ), ( 12^84 ) }
Outer automorphisms :: reflexible
Dual of E28.2109
Graph:: simple bipartite
	v = 86 e = 168 f = 28
	degree seq :: [ 2^84, 84^2 ]

E28.2109 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 42})
Quotient :: loop^2
Aut^+ = D84 (small group id <84, 14>)
Aut   = D168 (small group id <168, 36>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, (Y3^-1 * Y2)^2, (Y3 * Y1)^2, (Y2 * Y1)^14, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 85, 169, 253, 4, 88, 172, 256, 5, 89, 173, 257)(2, 86, 170, 254, 7, 91, 175, 259, 8, 92, 176, 260)(3, 87, 171, 255, 10, 94, 178, 262, 11, 95, 179, 263)(6, 90, 174, 258, 13, 97, 181, 265, 14, 98, 182, 266)(9, 93, 177, 261, 16, 100, 184, 268, 17, 101, 185, 269)(12, 96, 180, 264, 19, 103, 187, 271, 20, 104, 188, 272)(15, 99, 183, 267, 22, 106, 190, 274, 23, 107, 191, 275)(18, 102, 186, 270, 25, 109, 193, 277, 26, 110, 194, 278)(21, 105, 189, 273, 28, 112, 196, 280, 29, 113, 197, 281)(24, 108, 192, 276, 31, 115, 199, 283, 32, 116, 200, 284)(27, 111, 195, 279, 34, 118, 202, 286, 35, 119, 203, 287)(30, 114, 198, 282, 37, 121, 205, 289, 38, 122, 206, 290)(33, 117, 201, 285, 40, 124, 208, 292, 41, 125, 209, 293)(36, 120, 204, 288, 43, 127, 211, 295, 44, 128, 212, 296)(39, 123, 207, 291, 46, 130, 214, 298, 47, 131, 215, 299)(42, 126, 210, 294, 49, 133, 217, 301, 50, 134, 218, 302)(45, 129, 213, 297, 52, 136, 220, 304, 53, 137, 221, 305)(48, 132, 216, 300, 55, 139, 223, 307, 56, 140, 224, 308)(51, 135, 219, 303, 58, 142, 226, 310, 59, 143, 227, 311)(54, 138, 222, 306, 61, 145, 229, 313, 62, 146, 230, 314)(57, 141, 225, 309, 64, 148, 232, 316, 65, 149, 233, 317)(60, 144, 228, 312, 67, 151, 235, 319, 68, 152, 236, 320)(63, 147, 231, 315, 70, 154, 238, 322, 71, 155, 239, 323)(66, 150, 234, 318, 73, 157, 241, 325, 74, 158, 242, 326)(69, 153, 237, 321, 76, 160, 244, 328, 77, 161, 245, 329)(72, 156, 240, 324, 79, 163, 247, 331, 80, 164, 248, 332)(75, 159, 243, 327, 81, 165, 249, 333, 82, 166, 250, 334)(78, 162, 246, 330, 83, 167, 251, 335, 84, 168, 252, 336)
	L = (1, 86)(2, 85)(3, 93)(4, 92)(5, 91)(6, 96)(7, 89)(8, 88)(9, 87)(10, 101)(11, 100)(12, 90)(13, 104)(14, 103)(15, 105)(16, 95)(17, 94)(18, 108)(19, 98)(20, 97)(21, 99)(22, 113)(23, 112)(24, 102)(25, 116)(26, 115)(27, 117)(28, 107)(29, 106)(30, 120)(31, 110)(32, 109)(33, 111)(34, 125)(35, 124)(36, 114)(37, 128)(38, 127)(39, 129)(40, 119)(41, 118)(42, 132)(43, 122)(44, 121)(45, 123)(46, 137)(47, 136)(48, 126)(49, 140)(50, 139)(51, 141)(52, 131)(53, 130)(54, 144)(55, 134)(56, 133)(57, 135)(58, 149)(59, 148)(60, 138)(61, 152)(62, 151)(63, 153)(64, 143)(65, 142)(66, 156)(67, 146)(68, 145)(69, 147)(70, 161)(71, 160)(72, 150)(73, 164)(74, 163)(75, 162)(76, 155)(77, 154)(78, 159)(79, 158)(80, 157)(81, 168)(82, 167)(83, 166)(84, 165)(169, 255)(170, 258)(171, 253)(172, 263)(173, 262)(174, 254)(175, 266)(176, 265)(177, 267)(178, 257)(179, 256)(180, 270)(181, 260)(182, 259)(183, 261)(184, 275)(185, 274)(186, 264)(187, 278)(188, 277)(189, 279)(190, 269)(191, 268)(192, 282)(193, 272)(194, 271)(195, 273)(196, 287)(197, 286)(198, 276)(199, 290)(200, 289)(201, 291)(202, 281)(203, 280)(204, 294)(205, 284)(206, 283)(207, 285)(208, 299)(209, 298)(210, 288)(211, 302)(212, 301)(213, 303)(214, 293)(215, 292)(216, 306)(217, 296)(218, 295)(219, 297)(220, 311)(221, 310)(222, 300)(223, 314)(224, 313)(225, 315)(226, 305)(227, 304)(228, 318)(229, 308)(230, 307)(231, 309)(232, 323)(233, 322)(234, 312)(235, 326)(236, 325)(237, 327)(238, 317)(239, 316)(240, 330)(241, 320)(242, 319)(243, 321)(244, 334)(245, 333)(246, 324)(247, 336)(248, 335)(249, 329)(250, 328)(251, 332)(252, 331)
	local type(s) :: { ( 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84 ) }
Outer automorphisms :: reflexible
Dual of E28.2108
Transitivity :: VT+
Graph:: bipartite
	v = 28 e = 168 f = 86
	degree seq :: [ 12^28 ]

E28.2110 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 42})
Quotient :: loop^2
Aut^+ = D84 (small group id <84, 14>)
Aut   = D168 (small group id <168, 36>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, (Y3^-1 * Y1)^2, Y3^-1 * Y2 * Y1 * Y3^2 * Y1 * Y2 * Y3^-1, (Y3 * Y1 * Y2)^3, Y2 * Y3^-1 * Y1 * Y3^11 * Y2 * Y1, (Y2 * Y3^-1 * Y1 * Y3^4 * Y1)^2, Y3^4 * Y1 * Y2 * Y1 * Y3^-2 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 ]
Map::
	R = (1, 85, 169, 253, 4, 88, 172, 256, 12, 96, 180, 264, 24, 108, 192, 276, 40, 124, 208, 292, 52, 136, 220, 304, 64, 148, 232, 316, 76, 160, 244, 328, 78, 162, 246, 330, 66, 150, 234, 318, 54, 138, 222, 306, 42, 126, 210, 294, 26, 110, 194, 278, 37, 121, 205, 289, 21, 105, 189, 273, 9, 93, 177, 261, 20, 104, 188, 272, 36, 120, 204, 288, 49, 133, 217, 301, 61, 145, 229, 313, 73, 157, 241, 325, 80, 164, 248, 332, 68, 152, 236, 320, 56, 140, 224, 308, 44, 128, 212, 296, 30, 114, 198, 282, 16, 100, 184, 268, 6, 90, 174, 258, 15, 99, 183, 267, 29, 113, 197, 281, 33, 117, 201, 285, 47, 131, 215, 299, 59, 143, 227, 311, 71, 155, 239, 323, 83, 167, 251, 335, 77, 161, 245, 329, 65, 149, 233, 317, 53, 137, 221, 305, 41, 125, 209, 293, 25, 109, 193, 277, 13, 97, 181, 265, 5, 89, 173, 257)(2, 86, 170, 254, 7, 91, 175, 259, 17, 101, 185, 269, 31, 115, 199, 283, 45, 129, 213, 297, 57, 141, 225, 309, 69, 153, 237, 321, 81, 165, 249, 333, 72, 156, 240, 324, 60, 144, 228, 312, 48, 132, 216, 300, 35, 119, 203, 287, 19, 103, 187, 271, 34, 118, 202, 286, 28, 112, 196, 280, 14, 98, 182, 266, 27, 111, 195, 279, 43, 127, 211, 295, 55, 139, 223, 307, 67, 151, 235, 319, 79, 163, 247, 331, 75, 159, 243, 327, 63, 147, 231, 315, 51, 135, 219, 303, 39, 123, 207, 291, 23, 107, 191, 275, 11, 95, 179, 263, 3, 87, 171, 255, 10, 94, 178, 262, 22, 106, 190, 274, 38, 122, 206, 290, 50, 134, 218, 302, 62, 146, 230, 314, 74, 158, 242, 326, 84, 168, 252, 336, 82, 166, 250, 334, 70, 154, 238, 322, 58, 142, 226, 310, 46, 130, 214, 298, 32, 116, 200, 284, 18, 102, 186, 270, 8, 92, 176, 260)
	L = (1, 86)(2, 85)(3, 93)(4, 92)(5, 91)(6, 98)(7, 89)(8, 88)(9, 87)(10, 105)(11, 104)(12, 102)(13, 101)(14, 90)(15, 112)(16, 111)(17, 97)(18, 96)(19, 117)(20, 95)(21, 94)(22, 121)(23, 120)(24, 116)(25, 115)(26, 122)(27, 100)(28, 99)(29, 118)(30, 127)(31, 109)(32, 108)(33, 103)(34, 113)(35, 131)(36, 107)(37, 106)(38, 110)(39, 133)(40, 130)(41, 129)(42, 134)(43, 114)(44, 139)(45, 125)(46, 124)(47, 119)(48, 143)(49, 123)(50, 126)(51, 145)(52, 142)(53, 141)(54, 146)(55, 128)(56, 151)(57, 137)(58, 136)(59, 132)(60, 155)(61, 135)(62, 138)(63, 157)(64, 154)(65, 153)(66, 158)(67, 140)(68, 163)(69, 149)(70, 148)(71, 144)(72, 167)(73, 147)(74, 150)(75, 164)(76, 166)(77, 165)(78, 168)(79, 152)(80, 159)(81, 161)(82, 160)(83, 156)(84, 162)(169, 255)(170, 258)(171, 253)(172, 263)(173, 262)(174, 254)(175, 268)(176, 267)(177, 271)(178, 257)(179, 256)(180, 275)(181, 274)(182, 278)(183, 260)(184, 259)(185, 282)(186, 281)(187, 261)(188, 287)(189, 286)(190, 265)(191, 264)(192, 291)(193, 290)(194, 266)(195, 294)(196, 289)(197, 270)(198, 269)(199, 296)(200, 285)(201, 284)(202, 273)(203, 272)(204, 300)(205, 280)(206, 277)(207, 276)(208, 303)(209, 302)(210, 279)(211, 306)(212, 283)(213, 308)(214, 299)(215, 298)(216, 288)(217, 312)(218, 293)(219, 292)(220, 315)(221, 314)(222, 295)(223, 318)(224, 297)(225, 320)(226, 311)(227, 310)(228, 301)(229, 324)(230, 305)(231, 304)(232, 327)(233, 326)(234, 307)(235, 330)(236, 309)(237, 332)(238, 323)(239, 322)(240, 313)(241, 333)(242, 317)(243, 316)(244, 331)(245, 336)(246, 319)(247, 328)(248, 321)(249, 325)(250, 335)(251, 334)(252, 329)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2107
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 168 f = 112
	degree seq :: [ 168^2 ]

E28.2111 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 42})
Quotient :: dipole
Aut^+ = D84 (small group id <84, 14>)
Aut   = C2 x C2 x D42 (small group id <168, 56>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (Y2, Y3^-1), (Y2 * Y1)^2, (R * Y2)^2, Y3^14 ]
Map:: non-degenerate
	R = (1, 85, 2, 86)(3, 87, 9, 93)(4, 88, 10, 94)(5, 89, 7, 91)(6, 90, 8, 92)(11, 95, 21, 105)(12, 96, 20, 104)(13, 97, 22, 106)(14, 98, 18, 102)(15, 99, 17, 101)(16, 100, 19, 103)(23, 107, 33, 117)(24, 108, 32, 116)(25, 109, 34, 118)(26, 110, 30, 114)(27, 111, 29, 113)(28, 112, 31, 115)(35, 119, 45, 129)(36, 120, 44, 128)(37, 121, 46, 130)(38, 122, 42, 126)(39, 123, 41, 125)(40, 124, 43, 127)(47, 131, 57, 141)(48, 132, 56, 140)(49, 133, 58, 142)(50, 134, 54, 138)(51, 135, 53, 137)(52, 136, 55, 139)(59, 143, 69, 153)(60, 144, 68, 152)(61, 145, 70, 154)(62, 146, 66, 150)(63, 147, 65, 149)(64, 148, 67, 151)(71, 155, 80, 164)(72, 156, 79, 163)(73, 157, 78, 162)(74, 158, 77, 161)(75, 159, 76, 160)(81, 165, 84, 168)(82, 166, 83, 167)(169, 253, 171, 255, 173, 257)(170, 254, 175, 259, 177, 261)(172, 256, 179, 263, 182, 266)(174, 258, 180, 264, 183, 267)(176, 260, 185, 269, 188, 272)(178, 262, 186, 270, 189, 273)(181, 265, 191, 275, 194, 278)(184, 268, 192, 276, 195, 279)(187, 271, 197, 281, 200, 284)(190, 274, 198, 282, 201, 285)(193, 277, 203, 287, 206, 290)(196, 280, 204, 288, 207, 291)(199, 283, 209, 293, 212, 296)(202, 286, 210, 294, 213, 297)(205, 289, 215, 299, 218, 302)(208, 292, 216, 300, 219, 303)(211, 295, 221, 305, 224, 308)(214, 298, 222, 306, 225, 309)(217, 301, 227, 311, 230, 314)(220, 304, 228, 312, 231, 315)(223, 307, 233, 317, 236, 320)(226, 310, 234, 318, 237, 321)(229, 313, 239, 323, 242, 326)(232, 316, 240, 324, 243, 327)(235, 319, 244, 328, 247, 331)(238, 322, 245, 329, 248, 332)(241, 325, 249, 333, 250, 334)(246, 330, 251, 335, 252, 336)
	L = (1, 172)(2, 176)(3, 179)(4, 181)(5, 182)(6, 169)(7, 185)(8, 187)(9, 188)(10, 170)(11, 191)(12, 171)(13, 193)(14, 194)(15, 173)(16, 174)(17, 197)(18, 175)(19, 199)(20, 200)(21, 177)(22, 178)(23, 203)(24, 180)(25, 205)(26, 206)(27, 183)(28, 184)(29, 209)(30, 186)(31, 211)(32, 212)(33, 189)(34, 190)(35, 215)(36, 192)(37, 217)(38, 218)(39, 195)(40, 196)(41, 221)(42, 198)(43, 223)(44, 224)(45, 201)(46, 202)(47, 227)(48, 204)(49, 229)(50, 230)(51, 207)(52, 208)(53, 233)(54, 210)(55, 235)(56, 236)(57, 213)(58, 214)(59, 239)(60, 216)(61, 241)(62, 242)(63, 219)(64, 220)(65, 244)(66, 222)(67, 246)(68, 247)(69, 225)(70, 226)(71, 249)(72, 228)(73, 232)(74, 250)(75, 231)(76, 251)(77, 234)(78, 238)(79, 252)(80, 237)(81, 240)(82, 243)(83, 245)(84, 248)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 4, 84, 4, 84 ), ( 4, 84, 4, 84, 4, 84 ) }
Outer automorphisms :: reflexible
Dual of E28.2113
Graph:: simple bipartite
	v = 70 e = 168 f = 44
	degree seq :: [ 4^42, 6^28 ]

E28.2112 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 42})
Quotient :: dipole
Aut^+ = D84 (small group id <84, 14>)
Aut   = C2 x C2 x D42 (small group id <168, 56>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (Y2, Y3^-1), (R * Y2)^2, (Y2^-1 * Y1)^2, Y2^-1 * Y3^14, Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^2 ]
Map:: non-degenerate
	R = (1, 85, 2, 86)(3, 87, 9, 93)(4, 88, 10, 94)(5, 89, 7, 91)(6, 90, 8, 92)(11, 95, 21, 105)(12, 96, 20, 104)(13, 97, 22, 106)(14, 98, 18, 102)(15, 99, 17, 101)(16, 100, 19, 103)(23, 107, 33, 117)(24, 108, 32, 116)(25, 109, 34, 118)(26, 110, 30, 114)(27, 111, 29, 113)(28, 112, 31, 115)(35, 119, 45, 129)(36, 120, 44, 128)(37, 121, 46, 130)(38, 122, 42, 126)(39, 123, 41, 125)(40, 124, 43, 127)(47, 131, 57, 141)(48, 132, 56, 140)(49, 133, 58, 142)(50, 134, 54, 138)(51, 135, 53, 137)(52, 136, 55, 139)(59, 143, 69, 153)(60, 144, 68, 152)(61, 145, 70, 154)(62, 146, 66, 150)(63, 147, 65, 149)(64, 148, 67, 151)(71, 155, 81, 165)(72, 156, 80, 164)(73, 157, 82, 166)(74, 158, 78, 162)(75, 159, 77, 161)(76, 160, 79, 163)(83, 167, 84, 168)(169, 253, 171, 255, 173, 257)(170, 254, 175, 259, 177, 261)(172, 256, 179, 263, 182, 266)(174, 258, 180, 264, 183, 267)(176, 260, 185, 269, 188, 272)(178, 262, 186, 270, 189, 273)(181, 265, 191, 275, 194, 278)(184, 268, 192, 276, 195, 279)(187, 271, 197, 281, 200, 284)(190, 274, 198, 282, 201, 285)(193, 277, 203, 287, 206, 290)(196, 280, 204, 288, 207, 291)(199, 283, 209, 293, 212, 296)(202, 286, 210, 294, 213, 297)(205, 289, 215, 299, 218, 302)(208, 292, 216, 300, 219, 303)(211, 295, 221, 305, 224, 308)(214, 298, 222, 306, 225, 309)(217, 301, 227, 311, 230, 314)(220, 304, 228, 312, 231, 315)(223, 307, 233, 317, 236, 320)(226, 310, 234, 318, 237, 321)(229, 313, 239, 323, 242, 326)(232, 316, 240, 324, 243, 327)(235, 319, 245, 329, 248, 332)(238, 322, 246, 330, 249, 333)(241, 325, 251, 335, 244, 328)(247, 331, 252, 336, 250, 334)
	L = (1, 172)(2, 176)(3, 179)(4, 181)(5, 182)(6, 169)(7, 185)(8, 187)(9, 188)(10, 170)(11, 191)(12, 171)(13, 193)(14, 194)(15, 173)(16, 174)(17, 197)(18, 175)(19, 199)(20, 200)(21, 177)(22, 178)(23, 203)(24, 180)(25, 205)(26, 206)(27, 183)(28, 184)(29, 209)(30, 186)(31, 211)(32, 212)(33, 189)(34, 190)(35, 215)(36, 192)(37, 217)(38, 218)(39, 195)(40, 196)(41, 221)(42, 198)(43, 223)(44, 224)(45, 201)(46, 202)(47, 227)(48, 204)(49, 229)(50, 230)(51, 207)(52, 208)(53, 233)(54, 210)(55, 235)(56, 236)(57, 213)(58, 214)(59, 239)(60, 216)(61, 241)(62, 242)(63, 219)(64, 220)(65, 245)(66, 222)(67, 247)(68, 248)(69, 225)(70, 226)(71, 251)(72, 228)(73, 240)(74, 244)(75, 231)(76, 232)(77, 252)(78, 234)(79, 246)(80, 250)(81, 237)(82, 238)(83, 243)(84, 249)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 4, 84, 4, 84 ), ( 4, 84, 4, 84, 4, 84 ) }
Outer automorphisms :: reflexible
Dual of E28.2114
Graph:: simple bipartite
	v = 70 e = 168 f = 44
	degree seq :: [ 4^42, 6^28 ]

E28.2113 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 42})
Quotient :: dipole
Aut^+ = D84 (small group id <84, 14>)
Aut   = C2 x C2 x D42 (small group id <168, 56>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3, Y1), (Y3 * Y2)^2, (Y2 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y3^-3 * Y1^-3, (R * Y2 * Y3^-1)^2, Y3^8 * Y1^-6, Y1^42 ]
Map:: non-degenerate
	R = (1, 85, 2, 86, 7, 91, 19, 103, 35, 119, 49, 133, 61, 145, 73, 157, 71, 155, 58, 142, 48, 132, 33, 117, 14, 98, 25, 109, 17, 101, 6, 90, 10, 94, 22, 106, 37, 121, 51, 135, 63, 147, 75, 159, 72, 156, 59, 143, 46, 130, 34, 118, 15, 99, 4, 88, 9, 93, 21, 105, 18, 102, 26, 110, 40, 124, 53, 137, 65, 149, 77, 161, 70, 154, 60, 144, 47, 131, 32, 116, 16, 100, 5, 89)(3, 87, 11, 95, 27, 111, 43, 127, 55, 139, 67, 151, 79, 163, 84, 168, 78, 162, 66, 150, 54, 138, 41, 125, 30, 114, 39, 123, 24, 108, 13, 97, 29, 113, 44, 128, 56, 140, 68, 152, 80, 164, 83, 167, 76, 160, 64, 148, 52, 136, 38, 122, 23, 107, 12, 96, 28, 112, 42, 126, 31, 115, 45, 129, 57, 141, 69, 153, 81, 165, 82, 166, 74, 158, 62, 146, 50, 134, 36, 120, 20, 104, 8, 92)(169, 253, 171, 255)(170, 254, 176, 260)(172, 256, 181, 265)(173, 257, 179, 263)(174, 258, 180, 264)(175, 259, 188, 272)(177, 261, 192, 276)(178, 262, 191, 275)(182, 266, 199, 283)(183, 267, 197, 281)(184, 268, 195, 279)(185, 269, 196, 280)(186, 270, 198, 282)(187, 271, 204, 288)(189, 273, 207, 291)(190, 274, 206, 290)(193, 277, 210, 294)(194, 278, 209, 293)(200, 284, 211, 295)(201, 285, 213, 297)(202, 286, 212, 296)(203, 287, 218, 302)(205, 289, 220, 304)(208, 292, 222, 306)(214, 298, 224, 308)(215, 299, 223, 307)(216, 300, 225, 309)(217, 301, 230, 314)(219, 303, 232, 316)(221, 305, 234, 318)(226, 310, 237, 321)(227, 311, 236, 320)(228, 312, 235, 319)(229, 313, 242, 326)(231, 315, 244, 328)(233, 317, 246, 330)(238, 322, 247, 331)(239, 323, 249, 333)(240, 324, 248, 332)(241, 325, 250, 334)(243, 327, 251, 335)(245, 329, 252, 336)
	L = (1, 172)(2, 177)(3, 180)(4, 182)(5, 183)(6, 169)(7, 189)(8, 191)(9, 193)(10, 170)(11, 196)(12, 198)(13, 171)(14, 200)(15, 201)(16, 202)(17, 173)(18, 174)(19, 186)(20, 206)(21, 185)(22, 175)(23, 209)(24, 176)(25, 184)(26, 178)(27, 210)(28, 207)(29, 179)(30, 204)(31, 181)(32, 214)(33, 215)(34, 216)(35, 194)(36, 220)(37, 187)(38, 222)(39, 188)(40, 190)(41, 218)(42, 192)(43, 199)(44, 195)(45, 197)(46, 226)(47, 227)(48, 228)(49, 208)(50, 232)(51, 203)(52, 234)(53, 205)(54, 230)(55, 213)(56, 211)(57, 212)(58, 238)(59, 239)(60, 240)(61, 221)(62, 244)(63, 217)(64, 246)(65, 219)(66, 242)(67, 225)(68, 223)(69, 224)(70, 243)(71, 245)(72, 241)(73, 233)(74, 251)(75, 229)(76, 252)(77, 231)(78, 250)(79, 237)(80, 235)(81, 236)(82, 248)(83, 247)(84, 249)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2111
Graph:: bipartite
	v = 44 e = 168 f = 70
	degree seq :: [ 4^42, 84^2 ]

E28.2114 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 42})
Quotient :: dipole
Aut^+ = D84 (small group id <84, 14>)
Aut   = C2 x C2 x D42 (small group id <168, 56>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (Y2 * Y1^-1)^2, (Y1, Y3^-1), (R * Y1)^2, (R * Y3)^2, Y1^-3 * Y3^-3, (R * Y2 * Y3^-1)^2, Y1^-7 * Y3^7, Y1^42 ]
Map:: non-degenerate
	R = (1, 85, 2, 86, 7, 91, 19, 103, 35, 119, 49, 133, 61, 145, 73, 157, 72, 156, 59, 143, 46, 130, 34, 118, 15, 99, 4, 88, 9, 93, 21, 105, 18, 102, 26, 110, 40, 124, 53, 137, 65, 149, 77, 161, 71, 155, 58, 142, 48, 132, 33, 117, 14, 98, 25, 109, 17, 101, 6, 90, 10, 94, 22, 106, 37, 121, 51, 135, 63, 147, 75, 159, 70, 154, 60, 144, 47, 131, 32, 116, 16, 100, 5, 89)(3, 87, 11, 95, 27, 111, 43, 127, 55, 139, 67, 151, 79, 163, 83, 167, 76, 160, 64, 148, 52, 136, 38, 122, 23, 107, 12, 96, 28, 112, 42, 126, 31, 115, 45, 129, 57, 141, 69, 153, 81, 165, 84, 168, 78, 162, 66, 150, 54, 138, 41, 125, 30, 114, 39, 123, 24, 108, 13, 97, 29, 113, 44, 128, 56, 140, 68, 152, 80, 164, 82, 166, 74, 158, 62, 146, 50, 134, 36, 120, 20, 104, 8, 92)(169, 253, 171, 255)(170, 254, 176, 260)(172, 256, 181, 265)(173, 257, 179, 263)(174, 258, 180, 264)(175, 259, 188, 272)(177, 261, 192, 276)(178, 262, 191, 275)(182, 266, 199, 283)(183, 267, 197, 281)(184, 268, 195, 279)(185, 269, 196, 280)(186, 270, 198, 282)(187, 271, 204, 288)(189, 273, 207, 291)(190, 274, 206, 290)(193, 277, 210, 294)(194, 278, 209, 293)(200, 284, 211, 295)(201, 285, 213, 297)(202, 286, 212, 296)(203, 287, 218, 302)(205, 289, 220, 304)(208, 292, 222, 306)(214, 298, 224, 308)(215, 299, 223, 307)(216, 300, 225, 309)(217, 301, 230, 314)(219, 303, 232, 316)(221, 305, 234, 318)(226, 310, 237, 321)(227, 311, 236, 320)(228, 312, 235, 319)(229, 313, 242, 326)(231, 315, 244, 328)(233, 317, 246, 330)(238, 322, 247, 331)(239, 323, 249, 333)(240, 324, 248, 332)(241, 325, 250, 334)(243, 327, 251, 335)(245, 329, 252, 336)
	L = (1, 172)(2, 177)(3, 180)(4, 182)(5, 183)(6, 169)(7, 189)(8, 191)(9, 193)(10, 170)(11, 196)(12, 198)(13, 171)(14, 200)(15, 201)(16, 202)(17, 173)(18, 174)(19, 186)(20, 206)(21, 185)(22, 175)(23, 209)(24, 176)(25, 184)(26, 178)(27, 210)(28, 207)(29, 179)(30, 204)(31, 181)(32, 214)(33, 215)(34, 216)(35, 194)(36, 220)(37, 187)(38, 222)(39, 188)(40, 190)(41, 218)(42, 192)(43, 199)(44, 195)(45, 197)(46, 226)(47, 227)(48, 228)(49, 208)(50, 232)(51, 203)(52, 234)(53, 205)(54, 230)(55, 213)(56, 211)(57, 212)(58, 238)(59, 239)(60, 240)(61, 221)(62, 244)(63, 217)(64, 246)(65, 219)(66, 242)(67, 225)(68, 223)(69, 224)(70, 241)(71, 243)(72, 245)(73, 233)(74, 251)(75, 229)(76, 252)(77, 231)(78, 250)(79, 237)(80, 235)(81, 236)(82, 247)(83, 249)(84, 248)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2112
Graph:: bipartite
	v = 44 e = 168 f = 70
	degree seq :: [ 4^42, 84^2 ]

E28.2115 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 6, 42})
Quotient :: edge
Aut^+ = C6 x D14 (small group id <84, 12>)
Aut   = C2 x S3 x D14 (small group id <168, 50>)
|r| :: 2
Presentation :: [ F^2, (T1 * T2^-1)^2, (F * T1)^2, (F * T2)^2, T2 * T1^-2 * T2^-1 * T1^2, T2^-1 * T1^-1 * T2^-1 * T1^-3, (T2^-2 * T1^-1)^2, T1^6, T2^11 * T1^-1 * T2^-3 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 10, 25, 37, 49, 61, 73, 78, 66, 54, 42, 30, 18, 6, 17, 29, 41, 53, 65, 77, 84, 79, 67, 55, 43, 31, 19, 12, 21, 33, 45, 57, 69, 81, 76, 64, 52, 40, 28, 15, 5)(2, 7, 20, 32, 44, 56, 68, 80, 71, 59, 47, 35, 23, 9, 16, 14, 27, 39, 51, 63, 75, 83, 72, 60, 48, 36, 24, 13, 4, 11, 26, 38, 50, 62, 74, 82, 70, 58, 46, 34, 22, 8)(85, 86, 90, 100, 96, 88)(87, 93, 101, 97, 105, 92)(89, 95, 102, 91, 103, 98)(94, 108, 113, 106, 117, 107)(99, 111, 114, 110, 115, 104)(109, 118, 125, 119, 129, 120)(112, 116, 126, 123, 127, 122)(121, 131, 137, 132, 141, 130)(124, 134, 138, 128, 139, 135)(133, 144, 149, 142, 153, 143)(136, 147, 150, 146, 151, 140)(145, 154, 161, 155, 165, 156)(148, 152, 162, 159, 163, 158)(157, 164, 168, 167, 160, 166)
	L = (1, 85)(2, 86)(3, 87)(4, 88)(5, 89)(6, 90)(7, 91)(8, 92)(9, 93)(10, 94)(11, 95)(12, 96)(13, 97)(14, 98)(15, 99)(16, 100)(17, 101)(18, 102)(19, 103)(20, 104)(21, 105)(22, 106)(23, 107)(24, 108)(25, 109)(26, 110)(27, 111)(28, 112)(29, 113)(30, 114)(31, 115)(32, 116)(33, 117)(34, 118)(35, 119)(36, 120)(37, 121)(38, 122)(39, 123)(40, 124)(41, 125)(42, 126)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 12^6 ), ( 12^42 ) }
Outer automorphisms :: reflexible
Dual of E28.2116
Transitivity :: ET+
Graph:: bipartite
	v = 16 e = 84 f = 14
	degree seq :: [ 6^14, 42^2 ]

E28.2116 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 6, 42})
Quotient :: loop
Aut^+ = C6 x D14 (small group id <84, 12>)
Aut   = C2 x S3 x D14 (small group id <168, 50>)
|r| :: 2
Presentation :: [ F^2, T2^2 * T1^-2, (F * T2)^2, (F * T1)^2, T1^6, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T2^-1 * T1^-1)^42 ]
Map:: non-degenerate
	R = (1, 85, 3, 87, 6, 90, 15, 99, 11, 95, 5, 89)(2, 86, 7, 91, 14, 98, 12, 96, 4, 88, 8, 92)(9, 93, 19, 103, 13, 97, 21, 105, 10, 94, 20, 104)(16, 100, 22, 106, 18, 102, 24, 108, 17, 101, 23, 107)(25, 109, 31, 115, 27, 111, 33, 117, 26, 110, 32, 116)(28, 112, 34, 118, 30, 114, 36, 120, 29, 113, 35, 119)(37, 121, 43, 127, 39, 123, 45, 129, 38, 122, 44, 128)(40, 124, 46, 130, 42, 126, 48, 132, 41, 125, 47, 131)(49, 133, 55, 139, 51, 135, 57, 141, 50, 134, 56, 140)(52, 136, 58, 142, 54, 138, 60, 144, 53, 137, 59, 143)(61, 145, 67, 151, 63, 147, 69, 153, 62, 146, 68, 152)(64, 148, 70, 154, 66, 150, 72, 156, 65, 149, 71, 155)(73, 157, 79, 163, 75, 159, 81, 165, 74, 158, 80, 164)(76, 160, 82, 166, 78, 162, 84, 168, 77, 161, 83, 167)
	L = (1, 86)(2, 90)(3, 93)(4, 85)(5, 94)(6, 98)(7, 100)(8, 101)(9, 99)(10, 87)(11, 88)(12, 102)(13, 89)(14, 95)(15, 97)(16, 96)(17, 91)(18, 92)(19, 109)(20, 110)(21, 111)(22, 112)(23, 113)(24, 114)(25, 105)(26, 103)(27, 104)(28, 108)(29, 106)(30, 107)(31, 121)(32, 122)(33, 123)(34, 124)(35, 125)(36, 126)(37, 117)(38, 115)(39, 116)(40, 120)(41, 118)(42, 119)(43, 133)(44, 134)(45, 135)(46, 136)(47, 137)(48, 138)(49, 129)(50, 127)(51, 128)(52, 132)(53, 130)(54, 131)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 141)(62, 139)(63, 140)(64, 144)(65, 142)(66, 143)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 153)(74, 151)(75, 152)(76, 156)(77, 154)(78, 155)(79, 166)(80, 167)(81, 168)(82, 165)(83, 163)(84, 164)
	local type(s) :: { ( 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42 ) }
Outer automorphisms :: reflexible
Dual of E28.2115
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 14 e = 84 f = 16
	degree seq :: [ 12^14 ]

E28.2117 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 42})
Quotient :: dipole
Aut^+ = C6 x D14 (small group id <84, 12>)
Aut   = C2 x S3 x D14 (small group id <168, 50>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y1^-3 * Y2 * Y1, Y1^-2 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y3^-1 * Y1^-1)^6, Y2^2 * Y1^-1 * Y2^-12 * Y1^-1 ]
Map::
	R = (1, 85, 2, 86, 6, 90, 16, 100, 12, 96, 4, 88)(3, 87, 9, 93, 17, 101, 13, 97, 21, 105, 8, 92)(5, 89, 11, 95, 18, 102, 7, 91, 19, 103, 14, 98)(10, 94, 24, 108, 29, 113, 22, 106, 33, 117, 23, 107)(15, 99, 27, 111, 30, 114, 26, 110, 31, 115, 20, 104)(25, 109, 34, 118, 41, 125, 35, 119, 45, 129, 36, 120)(28, 112, 32, 116, 42, 126, 39, 123, 43, 127, 38, 122)(37, 121, 47, 131, 53, 137, 48, 132, 57, 141, 46, 130)(40, 124, 50, 134, 54, 138, 44, 128, 55, 139, 51, 135)(49, 133, 60, 144, 65, 149, 58, 142, 69, 153, 59, 143)(52, 136, 63, 147, 66, 150, 62, 146, 67, 151, 56, 140)(61, 145, 70, 154, 77, 161, 71, 155, 81, 165, 72, 156)(64, 148, 68, 152, 78, 162, 75, 159, 79, 163, 74, 158)(73, 157, 80, 164, 84, 168, 83, 167, 76, 160, 82, 166)(169, 253, 171, 255, 178, 262, 193, 277, 205, 289, 217, 301, 229, 313, 241, 325, 246, 330, 234, 318, 222, 306, 210, 294, 198, 282, 186, 270, 174, 258, 185, 269, 197, 281, 209, 293, 221, 305, 233, 317, 245, 329, 252, 336, 247, 331, 235, 319, 223, 307, 211, 295, 199, 283, 187, 271, 180, 264, 189, 273, 201, 285, 213, 297, 225, 309, 237, 321, 249, 333, 244, 328, 232, 316, 220, 304, 208, 292, 196, 280, 183, 267, 173, 257)(170, 254, 175, 259, 188, 272, 200, 284, 212, 296, 224, 308, 236, 320, 248, 332, 239, 323, 227, 311, 215, 299, 203, 287, 191, 275, 177, 261, 184, 268, 182, 266, 195, 279, 207, 291, 219, 303, 231, 315, 243, 327, 251, 335, 240, 324, 228, 312, 216, 300, 204, 288, 192, 276, 181, 265, 172, 256, 179, 263, 194, 278, 206, 290, 218, 302, 230, 314, 242, 326, 250, 334, 238, 322, 226, 310, 214, 298, 202, 286, 190, 274, 176, 260)
	L = (1, 171)(2, 175)(3, 178)(4, 179)(5, 169)(6, 185)(7, 188)(8, 170)(9, 184)(10, 193)(11, 194)(12, 189)(13, 172)(14, 195)(15, 173)(16, 182)(17, 197)(18, 174)(19, 180)(20, 200)(21, 201)(22, 176)(23, 177)(24, 181)(25, 205)(26, 206)(27, 207)(28, 183)(29, 209)(30, 186)(31, 187)(32, 212)(33, 213)(34, 190)(35, 191)(36, 192)(37, 217)(38, 218)(39, 219)(40, 196)(41, 221)(42, 198)(43, 199)(44, 224)(45, 225)(46, 202)(47, 203)(48, 204)(49, 229)(50, 230)(51, 231)(52, 208)(53, 233)(54, 210)(55, 211)(56, 236)(57, 237)(58, 214)(59, 215)(60, 216)(61, 241)(62, 242)(63, 243)(64, 220)(65, 245)(66, 222)(67, 223)(68, 248)(69, 249)(70, 226)(71, 227)(72, 228)(73, 246)(74, 250)(75, 251)(76, 232)(77, 252)(78, 234)(79, 235)(80, 239)(81, 244)(82, 238)(83, 240)(84, 247)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2118
Graph:: bipartite
	v = 16 e = 168 f = 98
	degree seq :: [ 12^14, 84^2 ]

E28.2118 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 42})
Quotient :: dipole
Aut^+ = C6 x D14 (small group id <84, 12>)
Aut   = C2 x S3 x D14 (small group id <168, 50>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y3^-1 * Y2^-1)^2, (R * Y3)^2, (R * Y1)^2, Y2^-2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3^-1 * Y2^3, Y2 * Y3^-13 * Y2^-1 * Y3, (Y3^-1 * Y1^-1)^42 ]
Map::
	R = (1, 85)(2, 86)(3, 87)(4, 88)(5, 89)(6, 90)(7, 91)(8, 92)(9, 93)(10, 94)(11, 95)(12, 96)(13, 97)(14, 98)(15, 99)(16, 100)(17, 101)(18, 102)(19, 103)(20, 104)(21, 105)(22, 106)(23, 107)(24, 108)(25, 109)(26, 110)(27, 111)(28, 112)(29, 113)(30, 114)(31, 115)(32, 116)(33, 117)(34, 118)(35, 119)(36, 120)(37, 121)(38, 122)(39, 123)(40, 124)(41, 125)(42, 126)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)(169, 253, 170, 254, 174, 258, 184, 268, 181, 265, 172, 256)(171, 255, 177, 261, 185, 269, 176, 260, 189, 273, 179, 263)(173, 257, 182, 266, 186, 270, 180, 264, 188, 272, 175, 259)(178, 262, 192, 276, 197, 281, 191, 275, 201, 285, 190, 274)(183, 267, 194, 278, 198, 282, 187, 271, 199, 283, 195, 279)(193, 277, 202, 286, 209, 293, 204, 288, 213, 297, 203, 287)(196, 280, 200, 284, 210, 294, 207, 291, 211, 295, 206, 290)(205, 289, 215, 299, 221, 305, 214, 298, 225, 309, 216, 300)(208, 292, 219, 303, 222, 306, 218, 302, 223, 307, 212, 296)(217, 301, 228, 312, 233, 317, 227, 311, 237, 321, 226, 310)(220, 304, 230, 314, 234, 318, 224, 308, 235, 319, 231, 315)(229, 313, 238, 322, 245, 329, 240, 324, 249, 333, 239, 323)(232, 316, 236, 320, 246, 330, 243, 327, 247, 331, 242, 326)(241, 325, 248, 332, 244, 328, 250, 334, 252, 336, 251, 335)
	L = (1, 171)(2, 175)(3, 178)(4, 180)(5, 169)(6, 185)(7, 187)(8, 170)(9, 172)(10, 193)(11, 184)(12, 194)(13, 189)(14, 195)(15, 173)(16, 182)(17, 197)(18, 174)(19, 200)(20, 181)(21, 201)(22, 176)(23, 177)(24, 179)(25, 205)(26, 206)(27, 207)(28, 183)(29, 209)(30, 186)(31, 188)(32, 212)(33, 213)(34, 190)(35, 191)(36, 192)(37, 217)(38, 218)(39, 219)(40, 196)(41, 221)(42, 198)(43, 199)(44, 224)(45, 225)(46, 202)(47, 203)(48, 204)(49, 229)(50, 230)(51, 231)(52, 208)(53, 233)(54, 210)(55, 211)(56, 236)(57, 237)(58, 214)(59, 215)(60, 216)(61, 241)(62, 242)(63, 243)(64, 220)(65, 245)(66, 222)(67, 223)(68, 248)(69, 249)(70, 226)(71, 227)(72, 228)(73, 247)(74, 251)(75, 250)(76, 232)(77, 244)(78, 234)(79, 235)(80, 239)(81, 252)(82, 238)(83, 240)(84, 246)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 12, 84 ), ( 12, 84, 12, 84, 12, 84, 12, 84, 12, 84, 12, 84 ) }
Outer automorphisms :: reflexible
Dual of E28.2117
Graph:: simple bipartite
	v = 98 e = 168 f = 16
	degree seq :: [ 2^84, 12^14 ]

E28.2119 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 12, 42})
Quotient :: edge
Aut^+ = C3 x (C7 : C4) (small group id <84, 4>)
Aut   = (C14 x S3) : C2 (small group id <168, 17>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T1)^2, (F * T2)^2, T1 * T2 * T1^-2 * T2^-1 * T1, T2^2 * T1^-1 * T2^-2 * T1, T2^-3 * T1^2 * T2^-3, T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1, (T2^-1 * T1^-1)^42 ]
Map:: non-degenerate
	R = (1, 3, 10, 27, 36, 18, 6, 17, 35, 34, 16, 5)(2, 7, 20, 39, 31, 13, 4, 12, 28, 44, 24, 8)(9, 25, 46, 33, 15, 30, 11, 29, 50, 32, 14, 26)(19, 37, 54, 43, 23, 41, 21, 40, 58, 42, 22, 38)(45, 61, 52, 66, 49, 64, 47, 63, 51, 65, 48, 62)(53, 67, 60, 72, 57, 70, 55, 69, 59, 71, 56, 68)(73, 82, 78, 80, 76, 83, 74, 81, 77, 79, 75, 84)(85, 86, 90, 88)(87, 93, 101, 95)(89, 98, 102, 99)(91, 103, 96, 105)(92, 106, 97, 107)(94, 104, 119, 112)(100, 108, 120, 115)(109, 129, 113, 131)(110, 132, 114, 133)(111, 130, 118, 134)(116, 135, 117, 136)(121, 137, 124, 139)(122, 140, 125, 141)(123, 138, 128, 142)(126, 143, 127, 144)(145, 157, 147, 158)(146, 159, 148, 160)(149, 161, 150, 162)(151, 163, 153, 164)(152, 165, 154, 166)(155, 167, 156, 168)
	L = (1, 85)(2, 86)(3, 87)(4, 88)(5, 89)(6, 90)(7, 91)(8, 92)(9, 93)(10, 94)(11, 95)(12, 96)(13, 97)(14, 98)(15, 99)(16, 100)(17, 101)(18, 102)(19, 103)(20, 104)(21, 105)(22, 106)(23, 107)(24, 108)(25, 109)(26, 110)(27, 111)(28, 112)(29, 113)(30, 114)(31, 115)(32, 116)(33, 117)(34, 118)(35, 119)(36, 120)(37, 121)(38, 122)(39, 123)(40, 124)(41, 125)(42, 126)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 84^4 ), ( 84^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2123
Transitivity :: ET+
Graph:: bipartite
	v = 28 e = 84 f = 2
	degree seq :: [ 4^21, 12^7 ]

E28.2120 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 12, 42})
Quotient :: edge
Aut^+ = C3 x (C7 : C4) (small group id <84, 4>)
Aut   = (C14 x S3) : C2 (small group id <168, 17>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^-3 * T2, T1 * T2 * T1^-2 * T2^-1 * T1, T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2, T1 * T2^2 * T1 * T2^2 * T1^2, T2 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1, (T2^-1 * T1^-1)^4, T1 * T2^3 * T1 * T2^-4, T2^42 ]
Map:: non-degenerate
	R = (1, 3, 10, 30, 65, 48, 20, 6, 19, 47, 77, 81, 54, 23, 44, 75, 59, 84, 78, 50, 21, 49, 36, 58, 83, 80, 53, 76, 57, 25, 56, 82, 79, 51, 35, 13, 24, 55, 74, 43, 17, 5)(2, 7, 22, 52, 68, 32, 11, 18, 45, 42, 73, 62, 28, 9, 27, 61, 41, 72, 67, 31, 46, 40, 16, 39, 71, 64, 29, 63, 34, 15, 38, 70, 66, 37, 14, 4, 12, 33, 69, 60, 26, 8)(85, 86, 90, 102, 128, 111, 133, 124, 141, 118, 97, 88)(87, 93, 103, 130, 159, 147, 120, 98, 109, 92, 108, 95)(89, 99, 104, 96, 107, 91, 105, 129, 160, 145, 119, 100)(94, 113, 131, 121, 143, 110, 142, 116, 140, 112, 139, 115)(101, 125, 132, 123, 138, 122, 134, 117, 137, 106, 135, 126)(114, 144, 161, 152, 168, 146, 167, 151, 166, 148, 158, 150)(127, 136, 149, 157, 165, 156, 162, 155, 164, 154, 163, 153)
	L = (1, 85)(2, 86)(3, 87)(4, 88)(5, 89)(6, 90)(7, 91)(8, 92)(9, 93)(10, 94)(11, 95)(12, 96)(13, 97)(14, 98)(15, 99)(16, 100)(17, 101)(18, 102)(19, 103)(20, 104)(21, 105)(22, 106)(23, 107)(24, 108)(25, 109)(26, 110)(27, 111)(28, 112)(29, 113)(30, 114)(31, 115)(32, 116)(33, 117)(34, 118)(35, 119)(36, 120)(37, 121)(38, 122)(39, 123)(40, 124)(41, 125)(42, 126)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 8^12 ), ( 8^42 ) }
Outer automorphisms :: reflexible
Dual of E28.2124
Transitivity :: ET+
Graph:: bipartite
	v = 9 e = 84 f = 21
	degree seq :: [ 12^7, 42^2 ]

E28.2121 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 12, 42})
Quotient :: edge
Aut^+ = C3 x (C7 : C4) (small group id <84, 4>)
Aut   = (C14 x S3) : C2 (small group id <168, 17>)
|r| :: 2
Presentation :: [ F^2, T2^4, (F * T1)^2, (F * T2)^2, T2^-2 * T1 * T2^-2 * T1^-1, T1 * T2 * T1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1, T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-1, T1 * T2 * T1^3 * T2^-1 * T1^2, T2 * T1^5 * T2 * T1^-2, T2 * T1^2 * T2^2 * T1^2 * T2^2 * T1^2 * T2^2 * T1^2 * T2^-1 * T1 ]
Map:: non-degenerate
	R = (1, 3, 10, 5)(2, 7, 21, 8)(4, 12, 28, 14)(6, 18, 45, 19)(9, 26, 15, 27)(11, 29, 16, 31)(13, 34, 62, 36)(17, 42, 73, 43)(20, 50, 23, 51)(22, 52, 24, 54)(25, 58, 39, 59)(30, 64, 40, 65)(32, 60, 37, 61)(33, 63, 38, 66)(35, 57, 81, 70)(41, 72, 82, 67)(44, 74, 47, 75)(46, 76, 48, 77)(49, 78, 55, 79)(53, 69, 56, 80)(68, 83, 71, 84)(85, 86, 90, 101, 125, 142, 162, 147, 113, 136, 160, 168, 145, 111, 135, 159, 149, 164, 165, 146, 112, 94, 105, 129, 157, 166, 143, 163, 150, 115, 138, 161, 167, 144, 110, 134, 158, 148, 153, 119, 97, 88)(87, 93, 109, 141, 132, 103, 131, 122, 98, 121, 156, 137, 106, 91, 104, 133, 118, 152, 127, 124, 100, 89, 99, 123, 154, 130, 102, 128, 117, 96, 116, 151, 140, 108, 92, 107, 139, 120, 155, 126, 114, 95)
	L = (1, 85)(2, 86)(3, 87)(4, 88)(5, 89)(6, 90)(7, 91)(8, 92)(9, 93)(10, 94)(11, 95)(12, 96)(13, 97)(14, 98)(15, 99)(16, 100)(17, 101)(18, 102)(19, 103)(20, 104)(21, 105)(22, 106)(23, 107)(24, 108)(25, 109)(26, 110)(27, 111)(28, 112)(29, 113)(30, 114)(31, 115)(32, 116)(33, 117)(34, 118)(35, 119)(36, 120)(37, 121)(38, 122)(39, 123)(40, 124)(41, 125)(42, 126)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 24^4 ), ( 24^42 ) }
Outer automorphisms :: reflexible
Dual of E28.2122
Transitivity :: ET+
Graph:: bipartite
	v = 23 e = 84 f = 7
	degree seq :: [ 4^21, 42^2 ]

E28.2122 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 12, 42})
Quotient :: loop
Aut^+ = C3 x (C7 : C4) (small group id <84, 4>)
Aut   = (C14 x S3) : C2 (small group id <168, 17>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T1)^2, (F * T2)^2, T1 * T2 * T1^-2 * T2^-1 * T1, T2^2 * T1^-1 * T2^-2 * T1, T2^-3 * T1^2 * T2^-3, T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1, (T2^-1 * T1^-1)^42 ]
Map:: non-degenerate
	R = (1, 85, 3, 87, 10, 94, 27, 111, 36, 120, 18, 102, 6, 90, 17, 101, 35, 119, 34, 118, 16, 100, 5, 89)(2, 86, 7, 91, 20, 104, 39, 123, 31, 115, 13, 97, 4, 88, 12, 96, 28, 112, 44, 128, 24, 108, 8, 92)(9, 93, 25, 109, 46, 130, 33, 117, 15, 99, 30, 114, 11, 95, 29, 113, 50, 134, 32, 116, 14, 98, 26, 110)(19, 103, 37, 121, 54, 138, 43, 127, 23, 107, 41, 125, 21, 105, 40, 124, 58, 142, 42, 126, 22, 106, 38, 122)(45, 129, 61, 145, 52, 136, 66, 150, 49, 133, 64, 148, 47, 131, 63, 147, 51, 135, 65, 149, 48, 132, 62, 146)(53, 137, 67, 151, 60, 144, 72, 156, 57, 141, 70, 154, 55, 139, 69, 153, 59, 143, 71, 155, 56, 140, 68, 152)(73, 157, 82, 166, 78, 162, 80, 164, 76, 160, 83, 167, 74, 158, 81, 165, 77, 161, 79, 163, 75, 159, 84, 168)
	L = (1, 86)(2, 90)(3, 93)(4, 85)(5, 98)(6, 88)(7, 103)(8, 106)(9, 101)(10, 104)(11, 87)(12, 105)(13, 107)(14, 102)(15, 89)(16, 108)(17, 95)(18, 99)(19, 96)(20, 119)(21, 91)(22, 97)(23, 92)(24, 120)(25, 129)(26, 132)(27, 130)(28, 94)(29, 131)(30, 133)(31, 100)(32, 135)(33, 136)(34, 134)(35, 112)(36, 115)(37, 137)(38, 140)(39, 138)(40, 139)(41, 141)(42, 143)(43, 144)(44, 142)(45, 113)(46, 118)(47, 109)(48, 114)(49, 110)(50, 111)(51, 117)(52, 116)(53, 124)(54, 128)(55, 121)(56, 125)(57, 122)(58, 123)(59, 127)(60, 126)(61, 157)(62, 159)(63, 158)(64, 160)(65, 161)(66, 162)(67, 163)(68, 165)(69, 164)(70, 166)(71, 167)(72, 168)(73, 147)(74, 145)(75, 148)(76, 146)(77, 150)(78, 149)(79, 153)(80, 151)(81, 154)(82, 152)(83, 156)(84, 155)
	local type(s) :: { ( 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42 ) }
Outer automorphisms :: reflexible
Dual of E28.2121
Transitivity :: ET+ VT+ AT
Graph::
	v = 7 e = 84 f = 23
	degree seq :: [ 24^7 ]

E28.2123 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 12, 42})
Quotient :: loop
Aut^+ = C3 x (C7 : C4) (small group id <84, 4>)
Aut   = (C14 x S3) : C2 (small group id <168, 17>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^-3 * T2, T1 * T2 * T1^-2 * T2^-1 * T1, T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2, T1 * T2^2 * T1 * T2^2 * T1^2, T2 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1, (T2^-1 * T1^-1)^4, T1 * T2^3 * T1 * T2^-4, T2^42 ]
Map:: non-degenerate
	R = (1, 85, 3, 87, 10, 94, 30, 114, 65, 149, 48, 132, 20, 104, 6, 90, 19, 103, 47, 131, 77, 161, 81, 165, 54, 138, 23, 107, 44, 128, 75, 159, 59, 143, 84, 168, 78, 162, 50, 134, 21, 105, 49, 133, 36, 120, 58, 142, 83, 167, 80, 164, 53, 137, 76, 160, 57, 141, 25, 109, 56, 140, 82, 166, 79, 163, 51, 135, 35, 119, 13, 97, 24, 108, 55, 139, 74, 158, 43, 127, 17, 101, 5, 89)(2, 86, 7, 91, 22, 106, 52, 136, 68, 152, 32, 116, 11, 95, 18, 102, 45, 129, 42, 126, 73, 157, 62, 146, 28, 112, 9, 93, 27, 111, 61, 145, 41, 125, 72, 156, 67, 151, 31, 115, 46, 130, 40, 124, 16, 100, 39, 123, 71, 155, 64, 148, 29, 113, 63, 147, 34, 118, 15, 99, 38, 122, 70, 154, 66, 150, 37, 121, 14, 98, 4, 88, 12, 96, 33, 117, 69, 153, 60, 144, 26, 110, 8, 92)
	L = (1, 86)(2, 90)(3, 93)(4, 85)(5, 99)(6, 102)(7, 105)(8, 108)(9, 103)(10, 113)(11, 87)(12, 107)(13, 88)(14, 109)(15, 104)(16, 89)(17, 125)(18, 128)(19, 130)(20, 96)(21, 129)(22, 135)(23, 91)(24, 95)(25, 92)(26, 142)(27, 133)(28, 139)(29, 131)(30, 144)(31, 94)(32, 140)(33, 137)(34, 97)(35, 100)(36, 98)(37, 143)(38, 134)(39, 138)(40, 141)(41, 132)(42, 101)(43, 136)(44, 111)(45, 160)(46, 159)(47, 121)(48, 123)(49, 124)(50, 117)(51, 126)(52, 149)(53, 106)(54, 122)(55, 115)(56, 112)(57, 118)(58, 116)(59, 110)(60, 161)(61, 119)(62, 167)(63, 120)(64, 158)(65, 157)(66, 114)(67, 166)(68, 168)(69, 127)(70, 163)(71, 164)(72, 162)(73, 165)(74, 150)(75, 147)(76, 145)(77, 152)(78, 155)(79, 153)(80, 154)(81, 156)(82, 148)(83, 151)(84, 146)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2119
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 84 f = 28
	degree seq :: [ 84^2 ]

E28.2124 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 12, 42})
Quotient :: loop
Aut^+ = C3 x (C7 : C4) (small group id <84, 4>)
Aut   = (C14 x S3) : C2 (small group id <168, 17>)
|r| :: 2
Presentation :: [ F^2, T2^4, (F * T1)^2, (F * T2)^2, T2^-2 * T1 * T2^-2 * T1^-1, T1 * T2 * T1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1, T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-1, T1 * T2 * T1^3 * T2^-1 * T1^2, T2 * T1^5 * T2 * T1^-2, T2 * T1^2 * T2^2 * T1^2 * T2^2 * T1^2 * T2^2 * T1^2 * T2^-1 * T1 ]
Map:: non-degenerate
	R = (1, 85, 3, 87, 10, 94, 5, 89)(2, 86, 7, 91, 21, 105, 8, 92)(4, 88, 12, 96, 28, 112, 14, 98)(6, 90, 18, 102, 45, 129, 19, 103)(9, 93, 26, 110, 15, 99, 27, 111)(11, 95, 29, 113, 16, 100, 31, 115)(13, 97, 34, 118, 62, 146, 36, 120)(17, 101, 42, 126, 73, 157, 43, 127)(20, 104, 50, 134, 23, 107, 51, 135)(22, 106, 52, 136, 24, 108, 54, 138)(25, 109, 58, 142, 39, 123, 59, 143)(30, 114, 64, 148, 40, 124, 65, 149)(32, 116, 60, 144, 37, 121, 61, 145)(33, 117, 63, 147, 38, 122, 66, 150)(35, 119, 57, 141, 81, 165, 70, 154)(41, 125, 72, 156, 82, 166, 67, 151)(44, 128, 74, 158, 47, 131, 75, 159)(46, 130, 76, 160, 48, 132, 77, 161)(49, 133, 78, 162, 55, 139, 79, 163)(53, 137, 69, 153, 56, 140, 80, 164)(68, 152, 83, 167, 71, 155, 84, 168)
	L = (1, 86)(2, 90)(3, 93)(4, 85)(5, 99)(6, 101)(7, 104)(8, 107)(9, 109)(10, 105)(11, 87)(12, 116)(13, 88)(14, 121)(15, 123)(16, 89)(17, 125)(18, 128)(19, 131)(20, 133)(21, 129)(22, 91)(23, 139)(24, 92)(25, 141)(26, 134)(27, 135)(28, 94)(29, 136)(30, 95)(31, 138)(32, 151)(33, 96)(34, 152)(35, 97)(36, 155)(37, 156)(38, 98)(39, 154)(40, 100)(41, 142)(42, 114)(43, 124)(44, 117)(45, 157)(46, 102)(47, 122)(48, 103)(49, 118)(50, 158)(51, 159)(52, 160)(53, 106)(54, 161)(55, 120)(56, 108)(57, 132)(58, 162)(59, 163)(60, 110)(61, 111)(62, 112)(63, 113)(64, 153)(65, 164)(66, 115)(67, 140)(68, 127)(69, 119)(70, 130)(71, 126)(72, 137)(73, 166)(74, 148)(75, 149)(76, 168)(77, 167)(78, 147)(79, 150)(80, 165)(81, 146)(82, 143)(83, 144)(84, 145)
	local type(s) :: { ( 12, 42, 12, 42, 12, 42, 12, 42 ) }
Outer automorphisms :: reflexible
Dual of E28.2120
Transitivity :: ET+ VT+ AT
Graph::
	v = 21 e = 84 f = 9
	degree seq :: [ 8^21 ]

E28.2125 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 12, 42})
Quotient :: dipole
Aut^+ = C3 x (C7 : C4) (small group id <84, 4>)
Aut   = (C14 x S3) : C2 (small group id <168, 17>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y3^-1 * Y1^-1, Y3^4, (R * Y1)^2, Y1 * Y3^-2 * Y1, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3 * Y2^2 * Y3^-1 * Y2^-1, Y3 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y2^2 * Y1^-1 * Y2^-2 * Y1, Y2 * Y3^2 * Y2^-1 * Y1^-2, Y2^-3 * Y1 * Y3^-1 * Y2^-3, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y3 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^42 ]
Map::
	R = (1, 85, 2, 86, 6, 90, 4, 88)(3, 87, 9, 93, 17, 101, 11, 95)(5, 89, 14, 98, 18, 102, 15, 99)(7, 91, 19, 103, 12, 96, 21, 105)(8, 92, 22, 106, 13, 97, 23, 107)(10, 94, 20, 104, 35, 119, 28, 112)(16, 100, 24, 108, 36, 120, 31, 115)(25, 109, 45, 129, 29, 113, 47, 131)(26, 110, 48, 132, 30, 114, 49, 133)(27, 111, 46, 130, 34, 118, 50, 134)(32, 116, 51, 135, 33, 117, 52, 136)(37, 121, 53, 137, 40, 124, 55, 139)(38, 122, 56, 140, 41, 125, 57, 141)(39, 123, 54, 138, 44, 128, 58, 142)(42, 126, 59, 143, 43, 127, 60, 144)(61, 145, 73, 157, 63, 147, 74, 158)(62, 146, 75, 159, 64, 148, 76, 160)(65, 149, 77, 161, 66, 150, 78, 162)(67, 151, 79, 163, 69, 153, 80, 164)(68, 152, 81, 165, 70, 154, 82, 166)(71, 155, 83, 167, 72, 156, 84, 168)(169, 253, 171, 255, 178, 262, 195, 279, 204, 288, 186, 270, 174, 258, 185, 269, 203, 287, 202, 286, 184, 268, 173, 257)(170, 254, 175, 259, 188, 272, 207, 291, 199, 283, 181, 265, 172, 256, 180, 264, 196, 280, 212, 296, 192, 276, 176, 260)(177, 261, 193, 277, 214, 298, 201, 285, 183, 267, 198, 282, 179, 263, 197, 281, 218, 302, 200, 284, 182, 266, 194, 278)(187, 271, 205, 289, 222, 306, 211, 295, 191, 275, 209, 293, 189, 273, 208, 292, 226, 310, 210, 294, 190, 274, 206, 290)(213, 297, 229, 313, 220, 304, 234, 318, 217, 301, 232, 316, 215, 299, 231, 315, 219, 303, 233, 317, 216, 300, 230, 314)(221, 305, 235, 319, 228, 312, 240, 324, 225, 309, 238, 322, 223, 307, 237, 321, 227, 311, 239, 323, 224, 308, 236, 320)(241, 325, 250, 334, 246, 330, 248, 332, 244, 328, 251, 335, 242, 326, 249, 333, 245, 329, 247, 331, 243, 327, 252, 336)
	L = (1, 172)(2, 169)(3, 179)(4, 174)(5, 183)(6, 170)(7, 189)(8, 191)(9, 171)(10, 196)(11, 185)(12, 187)(13, 190)(14, 173)(15, 186)(16, 199)(17, 177)(18, 182)(19, 175)(20, 178)(21, 180)(22, 176)(23, 181)(24, 184)(25, 215)(26, 217)(27, 218)(28, 203)(29, 213)(30, 216)(31, 204)(32, 220)(33, 219)(34, 214)(35, 188)(36, 192)(37, 223)(38, 225)(39, 226)(40, 221)(41, 224)(42, 228)(43, 227)(44, 222)(45, 193)(46, 195)(47, 197)(48, 194)(49, 198)(50, 202)(51, 200)(52, 201)(53, 205)(54, 207)(55, 208)(56, 206)(57, 209)(58, 212)(59, 210)(60, 211)(61, 242)(62, 244)(63, 241)(64, 243)(65, 246)(66, 245)(67, 248)(68, 250)(69, 247)(70, 249)(71, 252)(72, 251)(73, 229)(74, 231)(75, 230)(76, 232)(77, 233)(78, 234)(79, 235)(80, 237)(81, 236)(82, 238)(83, 239)(84, 240)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 2, 84, 2, 84, 2, 84, 2, 84 ), ( 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84 ) }
Outer automorphisms :: reflexible
Dual of E28.2128
Graph:: bipartite
	v = 28 e = 168 f = 86
	degree seq :: [ 8^21, 24^7 ]

E28.2126 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 12, 42})
Quotient :: dipole
Aut^+ = C3 x (C7 : C4) (small group id <84, 4>)
Aut   = (C14 x S3) : C2 (small group id <168, 17>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2 * Y1^2 * Y2^-1 * Y1^-1, Y1^2 * Y2 * Y1^-2 * Y2^-1, Y1^2 * Y2^-1 * Y1 * Y2^-1 * Y1, Y2^2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-2, (Y3^-1 * Y1^-1)^4, Y1 * Y2^2 * Y1 * Y2^2 * Y1^2, (Y2^-1 * Y1^-1)^4, Y2 * Y1 * Y2^-4 * Y1 * Y2^2, Y2^42 ]
Map::
	R = (1, 85, 2, 86, 6, 90, 18, 102, 44, 128, 27, 111, 49, 133, 40, 124, 57, 141, 34, 118, 13, 97, 4, 88)(3, 87, 9, 93, 19, 103, 46, 130, 75, 159, 63, 147, 36, 120, 14, 98, 25, 109, 8, 92, 24, 108, 11, 95)(5, 89, 15, 99, 20, 104, 12, 96, 23, 107, 7, 91, 21, 105, 45, 129, 76, 160, 61, 145, 35, 119, 16, 100)(10, 94, 29, 113, 47, 131, 37, 121, 59, 143, 26, 110, 58, 142, 32, 116, 56, 140, 28, 112, 55, 139, 31, 115)(17, 101, 41, 125, 48, 132, 39, 123, 54, 138, 38, 122, 50, 134, 33, 117, 53, 137, 22, 106, 51, 135, 42, 126)(30, 114, 60, 144, 77, 161, 68, 152, 84, 168, 62, 146, 83, 167, 67, 151, 82, 166, 64, 148, 74, 158, 66, 150)(43, 127, 52, 136, 65, 149, 73, 157, 81, 165, 72, 156, 78, 162, 71, 155, 80, 164, 70, 154, 79, 163, 69, 153)(169, 253, 171, 255, 178, 262, 198, 282, 233, 317, 216, 300, 188, 272, 174, 258, 187, 271, 215, 299, 245, 329, 249, 333, 222, 306, 191, 275, 212, 296, 243, 327, 227, 311, 252, 336, 246, 330, 218, 302, 189, 273, 217, 301, 204, 288, 226, 310, 251, 335, 248, 332, 221, 305, 244, 328, 225, 309, 193, 277, 224, 308, 250, 334, 247, 331, 219, 303, 203, 287, 181, 265, 192, 276, 223, 307, 242, 326, 211, 295, 185, 269, 173, 257)(170, 254, 175, 259, 190, 274, 220, 304, 236, 320, 200, 284, 179, 263, 186, 270, 213, 297, 210, 294, 241, 325, 230, 314, 196, 280, 177, 261, 195, 279, 229, 313, 209, 293, 240, 324, 235, 319, 199, 283, 214, 298, 208, 292, 184, 268, 207, 291, 239, 323, 232, 316, 197, 281, 231, 315, 202, 286, 183, 267, 206, 290, 238, 322, 234, 318, 205, 289, 182, 266, 172, 256, 180, 264, 201, 285, 237, 321, 228, 312, 194, 278, 176, 260)
	L = (1, 171)(2, 175)(3, 178)(4, 180)(5, 169)(6, 187)(7, 190)(8, 170)(9, 195)(10, 198)(11, 186)(12, 201)(13, 192)(14, 172)(15, 206)(16, 207)(17, 173)(18, 213)(19, 215)(20, 174)(21, 217)(22, 220)(23, 212)(24, 223)(25, 224)(26, 176)(27, 229)(28, 177)(29, 231)(30, 233)(31, 214)(32, 179)(33, 237)(34, 183)(35, 181)(36, 226)(37, 182)(38, 238)(39, 239)(40, 184)(41, 240)(42, 241)(43, 185)(44, 243)(45, 210)(46, 208)(47, 245)(48, 188)(49, 204)(50, 189)(51, 203)(52, 236)(53, 244)(54, 191)(55, 242)(56, 250)(57, 193)(58, 251)(59, 252)(60, 194)(61, 209)(62, 196)(63, 202)(64, 197)(65, 216)(66, 205)(67, 199)(68, 200)(69, 228)(70, 234)(71, 232)(72, 235)(73, 230)(74, 211)(75, 227)(76, 225)(77, 249)(78, 218)(79, 219)(80, 221)(81, 222)(82, 247)(83, 248)(84, 246)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.2127
Graph:: bipartite
	v = 9 e = 168 f = 105
	degree seq :: [ 24^7, 84^2 ]

E28.2127 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 12, 42})
Quotient :: dipole
Aut^+ = C3 x (C7 : C4) (small group id <84, 4>)
Aut   = (C14 x S3) : C2 (small group id <168, 17>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^4, (R * Y1)^2, (R * Y3)^2, Y2^-2 * Y3 * Y2^-2 * Y3^-1, Y2 * Y3^-1 * Y2^-2 * Y3 * Y2, Y2^-1 * Y3^-1 * Y2^-2 * Y3 * Y2^-1, Y2 * Y3 * Y2^2 * Y3^-1 * Y2, (R * Y2 * Y3^-1)^2, Y3^-3 * Y2 * Y3^-3 * Y2^-1, Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y2^-1, Y3^-3 * Y2 * Y3^2 * Y2 * Y3^-2, (Y3^-1 * Y1^-1)^42 ]
Map::
	R = (1, 85)(2, 86)(3, 87)(4, 88)(5, 89)(6, 90)(7, 91)(8, 92)(9, 93)(10, 94)(11, 95)(12, 96)(13, 97)(14, 98)(15, 99)(16, 100)(17, 101)(18, 102)(19, 103)(20, 104)(21, 105)(22, 106)(23, 107)(24, 108)(25, 109)(26, 110)(27, 111)(28, 112)(29, 113)(30, 114)(31, 115)(32, 116)(33, 117)(34, 118)(35, 119)(36, 120)(37, 121)(38, 122)(39, 123)(40, 124)(41, 125)(42, 126)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)(169, 253, 170, 254, 174, 258, 172, 256)(171, 255, 177, 261, 185, 269, 179, 263)(173, 257, 182, 266, 186, 270, 183, 267)(175, 259, 187, 271, 180, 264, 189, 273)(176, 260, 190, 274, 181, 265, 191, 275)(178, 262, 195, 279, 209, 293, 197, 281)(184, 268, 206, 290, 210, 294, 207, 291)(188, 272, 213, 297, 200, 284, 215, 299)(192, 276, 222, 306, 201, 285, 223, 307)(193, 277, 211, 295, 198, 282, 216, 300)(194, 278, 218, 302, 199, 283, 220, 304)(196, 280, 224, 308, 241, 325, 230, 314)(202, 286, 212, 296, 204, 288, 217, 301)(203, 287, 219, 303, 205, 289, 221, 305)(208, 292, 214, 298, 242, 326, 235, 319)(225, 309, 245, 329, 233, 317, 246, 330)(226, 310, 240, 324, 234, 318, 252, 336)(227, 311, 243, 327, 231, 315, 248, 332)(228, 312, 250, 334, 232, 316, 251, 335)(229, 313, 237, 321, 247, 331, 236, 320)(238, 322, 244, 328, 239, 323, 249, 333)
	L = (1, 171)(2, 175)(3, 178)(4, 180)(5, 169)(6, 185)(7, 188)(8, 170)(9, 193)(10, 196)(11, 198)(12, 200)(13, 172)(14, 202)(15, 204)(16, 173)(17, 209)(18, 174)(19, 211)(20, 214)(21, 216)(22, 218)(23, 220)(24, 176)(25, 225)(26, 177)(27, 227)(28, 229)(29, 231)(30, 233)(31, 179)(32, 235)(33, 181)(34, 236)(35, 182)(36, 237)(37, 183)(38, 238)(39, 239)(40, 184)(41, 241)(42, 186)(43, 243)(44, 187)(45, 245)(46, 232)(47, 246)(48, 248)(49, 189)(50, 250)(51, 190)(52, 251)(53, 191)(54, 240)(55, 252)(56, 192)(57, 206)(58, 194)(59, 203)(60, 195)(61, 213)(62, 201)(63, 205)(64, 197)(65, 207)(66, 199)(67, 228)(68, 234)(69, 226)(70, 230)(71, 224)(72, 208)(73, 247)(74, 210)(75, 222)(76, 212)(77, 219)(78, 221)(79, 215)(80, 223)(81, 217)(82, 249)(83, 244)(84, 242)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 24, 84 ), ( 24, 84, 24, 84, 24, 84, 24, 84 ) }
Outer automorphisms :: reflexible
Dual of E28.2126
Graph:: simple bipartite
	v = 105 e = 168 f = 9
	degree seq :: [ 2^84, 8^21 ]

E28.2128 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 12, 42})
Quotient :: dipole
Aut^+ = C3 x (C7 : C4) (small group id <84, 4>)
Aut   = (C14 x S3) : C2 (small group id <168, 17>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y3^-2 * Y1 * Y3, Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y1 * Y3^-1 * Y1^3 * Y3 * Y1^2, (Y3 * Y2^-1)^4, Y3 * Y1^5 * Y3 * Y1^-2, Y3^-4 * Y1^2 * Y3^-2 * Y1 * Y3^-1 * Y1^2 * Y3^-2 * Y1 * Y3^-3, Y3^2 * Y1^2 * Y3^2 * Y1^2 * Y3^2 * Y1^2 * Y3^2 * Y1 * Y3^2 * Y1 * Y3^3 * Y1 * Y3 ]
Map::
	R = (1, 85, 2, 86, 6, 90, 17, 101, 41, 125, 58, 142, 78, 162, 63, 147, 29, 113, 52, 136, 76, 160, 84, 168, 61, 145, 27, 111, 51, 135, 75, 159, 65, 149, 80, 164, 81, 165, 62, 146, 28, 112, 10, 94, 21, 105, 45, 129, 73, 157, 82, 166, 59, 143, 79, 163, 66, 150, 31, 115, 54, 138, 77, 161, 83, 167, 60, 144, 26, 110, 50, 134, 74, 158, 64, 148, 69, 153, 35, 119, 13, 97, 4, 88)(3, 87, 9, 93, 25, 109, 57, 141, 48, 132, 19, 103, 47, 131, 38, 122, 14, 98, 37, 121, 72, 156, 53, 137, 22, 106, 7, 91, 20, 104, 49, 133, 34, 118, 68, 152, 43, 127, 40, 124, 16, 100, 5, 89, 15, 99, 39, 123, 70, 154, 46, 130, 18, 102, 44, 128, 33, 117, 12, 96, 32, 116, 67, 151, 56, 140, 24, 108, 8, 92, 23, 107, 55, 139, 36, 120, 71, 155, 42, 126, 30, 114, 11, 95)(169, 253)(170, 254)(171, 255)(172, 256)(173, 257)(174, 258)(175, 259)(176, 260)(177, 261)(178, 262)(179, 263)(180, 264)(181, 265)(182, 266)(183, 267)(184, 268)(185, 269)(186, 270)(187, 271)(188, 272)(189, 273)(190, 274)(191, 275)(192, 276)(193, 277)(194, 278)(195, 279)(196, 280)(197, 281)(198, 282)(199, 283)(200, 284)(201, 285)(202, 286)(203, 287)(204, 288)(205, 289)(206, 290)(207, 291)(208, 292)(209, 293)(210, 294)(211, 295)(212, 296)(213, 297)(214, 298)(215, 299)(216, 300)(217, 301)(218, 302)(219, 303)(220, 304)(221, 305)(222, 306)(223, 307)(224, 308)(225, 309)(226, 310)(227, 311)(228, 312)(229, 313)(230, 314)(231, 315)(232, 316)(233, 317)(234, 318)(235, 319)(236, 320)(237, 321)(238, 322)(239, 323)(240, 324)(241, 325)(242, 326)(243, 327)(244, 328)(245, 329)(246, 330)(247, 331)(248, 332)(249, 333)(250, 334)(251, 335)(252, 336)
	L = (1, 171)(2, 175)(3, 178)(4, 180)(5, 169)(6, 186)(7, 189)(8, 170)(9, 194)(10, 173)(11, 197)(12, 196)(13, 202)(14, 172)(15, 195)(16, 199)(17, 210)(18, 213)(19, 174)(20, 218)(21, 176)(22, 220)(23, 219)(24, 222)(25, 226)(26, 183)(27, 177)(28, 182)(29, 184)(30, 232)(31, 179)(32, 228)(33, 231)(34, 230)(35, 225)(36, 181)(37, 229)(38, 234)(39, 227)(40, 233)(41, 240)(42, 241)(43, 185)(44, 242)(45, 187)(46, 244)(47, 243)(48, 245)(49, 246)(50, 191)(51, 188)(52, 192)(53, 237)(54, 190)(55, 247)(56, 248)(57, 249)(58, 207)(59, 193)(60, 205)(61, 200)(62, 204)(63, 206)(64, 208)(65, 198)(66, 201)(67, 209)(68, 251)(69, 224)(70, 203)(71, 252)(72, 250)(73, 211)(74, 215)(75, 212)(76, 216)(77, 214)(78, 223)(79, 217)(80, 221)(81, 238)(82, 235)(83, 239)(84, 236)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.2125
Graph:: simple bipartite
	v = 86 e = 168 f = 28
	degree seq :: [ 2^84, 84^2 ]

E28.2129 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 12, 42})
Quotient :: dipole
Aut^+ = C3 x (C7 : C4) (small group id <84, 4>)
Aut   = (C14 x S3) : C2 (small group id <168, 17>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y3)^2, (R * Y1)^2, Y1 * Y3^-1 * Y1^2, Y1 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y3 * Y2^-3 * Y3^-1 * Y2^-3, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y1 * Y2^3 * Y1^-1 * Y2^3, Y2^-1 * R * Y2^3 * R * Y2^-2, Y2 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1, Y2 * Y3 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y1 * Y2^5 * Y1 * Y2^-2, Y2^2 * Y1^2 * Y2 * Y3 * Y1^-1 * Y2^2 * Y3 * Y1^-1 * Y2^2 * Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y3, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 85, 2, 86, 6, 90, 4, 88)(3, 87, 9, 93, 17, 101, 11, 95)(5, 89, 14, 98, 18, 102, 15, 99)(7, 91, 19, 103, 12, 96, 21, 105)(8, 92, 22, 106, 13, 97, 23, 107)(10, 94, 27, 111, 41, 125, 29, 113)(16, 100, 38, 122, 42, 126, 39, 123)(20, 104, 45, 129, 32, 116, 47, 131)(24, 108, 54, 138, 33, 117, 55, 139)(25, 109, 43, 127, 30, 114, 48, 132)(26, 110, 50, 134, 31, 115, 52, 136)(28, 112, 56, 140, 73, 157, 62, 146)(34, 118, 44, 128, 36, 120, 49, 133)(35, 119, 51, 135, 37, 121, 53, 137)(40, 124, 46, 130, 74, 158, 67, 151)(57, 141, 77, 161, 65, 149, 78, 162)(58, 142, 72, 156, 66, 150, 84, 168)(59, 143, 75, 159, 63, 147, 80, 164)(60, 144, 82, 166, 64, 148, 83, 167)(61, 145, 69, 153, 79, 163, 68, 152)(70, 154, 76, 160, 71, 155, 81, 165)(169, 253, 171, 255, 178, 262, 196, 280, 229, 313, 213, 297, 245, 329, 219, 303, 190, 274, 218, 302, 250, 334, 249, 333, 217, 301, 189, 273, 216, 300, 248, 332, 223, 307, 252, 336, 242, 326, 210, 294, 186, 270, 174, 258, 185, 269, 209, 293, 241, 325, 247, 331, 215, 299, 246, 330, 221, 305, 191, 275, 220, 304, 251, 335, 244, 328, 212, 296, 187, 271, 211, 295, 243, 327, 222, 306, 240, 324, 208, 292, 184, 268, 173, 257)(170, 254, 175, 259, 188, 272, 214, 298, 232, 316, 197, 281, 231, 315, 205, 289, 183, 267, 204, 288, 237, 321, 226, 310, 194, 278, 177, 261, 193, 277, 225, 309, 206, 290, 238, 322, 230, 314, 201, 285, 181, 265, 172, 256, 180, 264, 200, 284, 235, 319, 228, 312, 195, 279, 227, 311, 203, 287, 182, 266, 202, 286, 236, 320, 234, 318, 199, 283, 179, 263, 198, 282, 233, 317, 207, 291, 239, 323, 224, 308, 192, 276, 176, 260)
	L = (1, 172)(2, 169)(3, 179)(4, 174)(5, 183)(6, 170)(7, 189)(8, 191)(9, 171)(10, 197)(11, 185)(12, 187)(13, 190)(14, 173)(15, 186)(16, 207)(17, 177)(18, 182)(19, 175)(20, 215)(21, 180)(22, 176)(23, 181)(24, 223)(25, 216)(26, 220)(27, 178)(28, 230)(29, 209)(30, 211)(31, 218)(32, 213)(33, 222)(34, 217)(35, 221)(36, 212)(37, 219)(38, 184)(39, 210)(40, 235)(41, 195)(42, 206)(43, 193)(44, 202)(45, 188)(46, 208)(47, 200)(48, 198)(49, 204)(50, 194)(51, 203)(52, 199)(53, 205)(54, 192)(55, 201)(56, 196)(57, 246)(58, 252)(59, 248)(60, 251)(61, 236)(62, 241)(63, 243)(64, 250)(65, 245)(66, 240)(67, 242)(68, 247)(69, 229)(70, 249)(71, 244)(72, 226)(73, 224)(74, 214)(75, 227)(76, 238)(77, 225)(78, 233)(79, 237)(80, 231)(81, 239)(82, 228)(83, 232)(84, 234)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.2130
Graph:: bipartite
	v = 23 e = 168 f = 91
	degree seq :: [ 8^21, 84^2 ]

E28.2130 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 12, 42})
Quotient :: dipole
Aut^+ = C3 x (C7 : C4) (small group id <84, 4>)
Aut   = (C14 x S3) : C2 (small group id <168, 17>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3 * Y1^-3 * Y3, Y1 * Y3 * Y1^-2 * Y3^-1 * Y1, Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3, Y1 * Y3^2 * Y1 * Y3^2 * Y1^2, Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, (Y3^-1 * Y1^-1)^4, Y1 * Y3^3 * Y1 * Y3^-4, (Y3 * Y2^-1)^42 ]
Map::
	R = (1, 85, 2, 86, 6, 90, 18, 102, 44, 128, 27, 111, 49, 133, 40, 124, 57, 141, 34, 118, 13, 97, 4, 88)(3, 87, 9, 93, 19, 103, 46, 130, 75, 159, 63, 147, 36, 120, 14, 98, 25, 109, 8, 92, 24, 108, 11, 95)(5, 89, 15, 99, 20, 104, 12, 96, 23, 107, 7, 91, 21, 105, 45, 129, 76, 160, 61, 145, 35, 119, 16, 100)(10, 94, 29, 113, 47, 131, 37, 121, 59, 143, 26, 110, 58, 142, 32, 116, 56, 140, 28, 112, 55, 139, 31, 115)(17, 101, 41, 125, 48, 132, 39, 123, 54, 138, 38, 122, 50, 134, 33, 117, 53, 137, 22, 106, 51, 135, 42, 126)(30, 114, 60, 144, 77, 161, 68, 152, 84, 168, 62, 146, 83, 167, 67, 151, 82, 166, 64, 148, 74, 158, 66, 150)(43, 127, 52, 136, 65, 149, 73, 157, 81, 165, 72, 156, 78, 162, 71, 155, 80, 164, 70, 154, 79, 163, 69, 153)(169, 253)(170, 254)(171, 255)(172, 256)(173, 257)(174, 258)(175, 259)(176, 260)(177, 261)(178, 262)(179, 263)(180, 264)(181, 265)(182, 266)(183, 267)(184, 268)(185, 269)(186, 270)(187, 271)(188, 272)(189, 273)(190, 274)(191, 275)(192, 276)(193, 277)(194, 278)(195, 279)(196, 280)(197, 281)(198, 282)(199, 283)(200, 284)(201, 285)(202, 286)(203, 287)(204, 288)(205, 289)(206, 290)(207, 291)(208, 292)(209, 293)(210, 294)(211, 295)(212, 296)(213, 297)(214, 298)(215, 299)(216, 300)(217, 301)(218, 302)(219, 303)(220, 304)(221, 305)(222, 306)(223, 307)(224, 308)(225, 309)(226, 310)(227, 311)(228, 312)(229, 313)(230, 314)(231, 315)(232, 316)(233, 317)(234, 318)(235, 319)(236, 320)(237, 321)(238, 322)(239, 323)(240, 324)(241, 325)(242, 326)(243, 327)(244, 328)(245, 329)(246, 330)(247, 331)(248, 332)(249, 333)(250, 334)(251, 335)(252, 336)
	L = (1, 171)(2, 175)(3, 178)(4, 180)(5, 169)(6, 187)(7, 190)(8, 170)(9, 195)(10, 198)(11, 186)(12, 201)(13, 192)(14, 172)(15, 206)(16, 207)(17, 173)(18, 213)(19, 215)(20, 174)(21, 217)(22, 220)(23, 212)(24, 223)(25, 224)(26, 176)(27, 229)(28, 177)(29, 231)(30, 233)(31, 214)(32, 179)(33, 237)(34, 183)(35, 181)(36, 226)(37, 182)(38, 238)(39, 239)(40, 184)(41, 240)(42, 241)(43, 185)(44, 243)(45, 210)(46, 208)(47, 245)(48, 188)(49, 204)(50, 189)(51, 203)(52, 236)(53, 244)(54, 191)(55, 242)(56, 250)(57, 193)(58, 251)(59, 252)(60, 194)(61, 209)(62, 196)(63, 202)(64, 197)(65, 216)(66, 205)(67, 199)(68, 200)(69, 228)(70, 234)(71, 232)(72, 235)(73, 230)(74, 211)(75, 227)(76, 225)(77, 249)(78, 218)(79, 219)(80, 221)(81, 222)(82, 247)(83, 248)(84, 246)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 8, 84 ), ( 8, 84, 8, 84, 8, 84, 8, 84, 8, 84, 8, 84, 8, 84, 8, 84, 8, 84, 8, 84, 8, 84, 8, 84 ) }
Outer automorphisms :: reflexible
Dual of E28.2129
Graph:: simple bipartite
	v = 91 e = 168 f = 23
	degree seq :: [ 2^84, 24^7 ]

E28.2131 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 84, 84})
Quotient :: edge
Aut^+ = C84 (small group id <84, 6>)
Aut   = D168 (small group id <168, 36>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^-28 * T1, (T1^-1 * T2^-1)^84 ]
Map:: non-degenerate
	R = (1, 3, 8, 14, 20, 26, 32, 38, 44, 50, 56, 62, 68, 74, 80, 79, 73, 67, 61, 55, 49, 43, 37, 31, 25, 19, 13, 7, 2, 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 82, 76, 70, 64, 58, 52, 46, 40, 34, 28, 22, 16, 10, 4, 9, 15, 21, 27, 33, 39, 45, 51, 57, 63, 69, 75, 81, 83, 77, 71, 65, 59, 53, 47, 41, 35, 29, 23, 17, 11, 5)(85, 86, 88)(87, 90, 93)(89, 91, 94)(92, 96, 99)(95, 97, 100)(98, 102, 105)(101, 103, 106)(104, 108, 111)(107, 109, 112)(110, 114, 117)(113, 115, 118)(116, 120, 123)(119, 121, 124)(122, 126, 129)(125, 127, 130)(128, 132, 135)(131, 133, 136)(134, 138, 141)(137, 139, 142)(140, 144, 147)(143, 145, 148)(146, 150, 153)(149, 151, 154)(152, 156, 159)(155, 157, 160)(158, 162, 165)(161, 163, 166)(164, 168, 167)
	L = (1, 85)(2, 86)(3, 87)(4, 88)(5, 89)(6, 90)(7, 91)(8, 92)(9, 93)(10, 94)(11, 95)(12, 96)(13, 97)(14, 98)(15, 99)(16, 100)(17, 101)(18, 102)(19, 103)(20, 104)(21, 105)(22, 106)(23, 107)(24, 108)(25, 109)(26, 110)(27, 111)(28, 112)(29, 113)(30, 114)(31, 115)(32, 116)(33, 117)(34, 118)(35, 119)(36, 120)(37, 121)(38, 122)(39, 123)(40, 124)(41, 125)(42, 126)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 168^3 ), ( 168^84 ) }
Outer automorphisms :: reflexible
Dual of E28.2132
Transitivity :: ET+
Graph:: bipartite
	v = 29 e = 84 f = 1
	degree seq :: [ 3^28, 84 ]

E28.2132 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 84, 84})
Quotient :: loop
Aut^+ = C84 (small group id <84, 6>)
Aut   = D168 (small group id <168, 36>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^-28 * T1, (T1^-1 * T2^-1)^84 ]
Map:: non-degenerate
	R = (1, 85, 3, 87, 8, 92, 14, 98, 20, 104, 26, 110, 32, 116, 38, 122, 44, 128, 50, 134, 56, 140, 62, 146, 68, 152, 74, 158, 80, 164, 79, 163, 73, 157, 67, 151, 61, 145, 55, 139, 49, 133, 43, 127, 37, 121, 31, 115, 25, 109, 19, 103, 13, 97, 7, 91, 2, 86, 6, 90, 12, 96, 18, 102, 24, 108, 30, 114, 36, 120, 42, 126, 48, 132, 54, 138, 60, 144, 66, 150, 72, 156, 78, 162, 84, 168, 82, 166, 76, 160, 70, 154, 64, 148, 58, 142, 52, 136, 46, 130, 40, 124, 34, 118, 28, 112, 22, 106, 16, 100, 10, 94, 4, 88, 9, 93, 15, 99, 21, 105, 27, 111, 33, 117, 39, 123, 45, 129, 51, 135, 57, 141, 63, 147, 69, 153, 75, 159, 81, 165, 83, 167, 77, 161, 71, 155, 65, 149, 59, 143, 53, 137, 47, 131, 41, 125, 35, 119, 29, 113, 23, 107, 17, 101, 11, 95, 5, 89)
	L = (1, 86)(2, 88)(3, 90)(4, 85)(5, 91)(6, 93)(7, 94)(8, 96)(9, 87)(10, 89)(11, 97)(12, 99)(13, 100)(14, 102)(15, 92)(16, 95)(17, 103)(18, 105)(19, 106)(20, 108)(21, 98)(22, 101)(23, 109)(24, 111)(25, 112)(26, 114)(27, 104)(28, 107)(29, 115)(30, 117)(31, 118)(32, 120)(33, 110)(34, 113)(35, 121)(36, 123)(37, 124)(38, 126)(39, 116)(40, 119)(41, 127)(42, 129)(43, 130)(44, 132)(45, 122)(46, 125)(47, 133)(48, 135)(49, 136)(50, 138)(51, 128)(52, 131)(53, 139)(54, 141)(55, 142)(56, 144)(57, 134)(58, 137)(59, 145)(60, 147)(61, 148)(62, 150)(63, 140)(64, 143)(65, 151)(66, 153)(67, 154)(68, 156)(69, 146)(70, 149)(71, 157)(72, 159)(73, 160)(74, 162)(75, 152)(76, 155)(77, 163)(78, 165)(79, 166)(80, 168)(81, 158)(82, 161)(83, 164)(84, 167)
	local type(s) :: { ( 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84, 3, 84 ) }
Outer automorphisms :: reflexible
Dual of E28.2131
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 84 f = 29
	degree seq :: [ 168 ]

E28.2133 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 84, 84})
Quotient :: dipole
Aut^+ = C84 (small group id <84, 6>)
Aut   = D168 (small group id <168, 36>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y3^3, Y1^3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2^-1, Y1^-1), (Y3^-1, Y2^-1), Y3 * Y2^28, Y2^-3 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 85, 2, 86, 4, 88)(3, 87, 6, 90, 9, 93)(5, 89, 7, 91, 10, 94)(8, 92, 12, 96, 15, 99)(11, 95, 13, 97, 16, 100)(14, 98, 18, 102, 21, 105)(17, 101, 19, 103, 22, 106)(20, 104, 24, 108, 27, 111)(23, 107, 25, 109, 28, 112)(26, 110, 30, 114, 33, 117)(29, 113, 31, 115, 34, 118)(32, 116, 36, 120, 39, 123)(35, 119, 37, 121, 40, 124)(38, 122, 42, 126, 45, 129)(41, 125, 43, 127, 46, 130)(44, 128, 48, 132, 51, 135)(47, 131, 49, 133, 52, 136)(50, 134, 54, 138, 57, 141)(53, 137, 55, 139, 58, 142)(56, 140, 60, 144, 63, 147)(59, 143, 61, 145, 64, 148)(62, 146, 66, 150, 69, 153)(65, 149, 67, 151, 70, 154)(68, 152, 72, 156, 75, 159)(71, 155, 73, 157, 76, 160)(74, 158, 78, 162, 81, 165)(77, 161, 79, 163, 82, 166)(80, 164, 84, 168, 83, 167)(169, 253, 171, 255, 176, 260, 182, 266, 188, 272, 194, 278, 200, 284, 206, 290, 212, 296, 218, 302, 224, 308, 230, 314, 236, 320, 242, 326, 248, 332, 247, 331, 241, 325, 235, 319, 229, 313, 223, 307, 217, 301, 211, 295, 205, 289, 199, 283, 193, 277, 187, 271, 181, 265, 175, 259, 170, 254, 174, 258, 180, 264, 186, 270, 192, 276, 198, 282, 204, 288, 210, 294, 216, 300, 222, 306, 228, 312, 234, 318, 240, 324, 246, 330, 252, 336, 250, 334, 244, 328, 238, 322, 232, 316, 226, 310, 220, 304, 214, 298, 208, 292, 202, 286, 196, 280, 190, 274, 184, 268, 178, 262, 172, 256, 177, 261, 183, 267, 189, 273, 195, 279, 201, 285, 207, 291, 213, 297, 219, 303, 225, 309, 231, 315, 237, 321, 243, 327, 249, 333, 251, 335, 245, 329, 239, 323, 233, 317, 227, 311, 221, 305, 215, 299, 209, 293, 203, 287, 197, 281, 191, 275, 185, 269, 179, 263, 173, 257)
	L = (1, 172)(2, 169)(3, 177)(4, 170)(5, 178)(6, 171)(7, 173)(8, 183)(9, 174)(10, 175)(11, 184)(12, 176)(13, 179)(14, 189)(15, 180)(16, 181)(17, 190)(18, 182)(19, 185)(20, 195)(21, 186)(22, 187)(23, 196)(24, 188)(25, 191)(26, 201)(27, 192)(28, 193)(29, 202)(30, 194)(31, 197)(32, 207)(33, 198)(34, 199)(35, 208)(36, 200)(37, 203)(38, 213)(39, 204)(40, 205)(41, 214)(42, 206)(43, 209)(44, 219)(45, 210)(46, 211)(47, 220)(48, 212)(49, 215)(50, 225)(51, 216)(52, 217)(53, 226)(54, 218)(55, 221)(56, 231)(57, 222)(58, 223)(59, 232)(60, 224)(61, 227)(62, 237)(63, 228)(64, 229)(65, 238)(66, 230)(67, 233)(68, 243)(69, 234)(70, 235)(71, 244)(72, 236)(73, 239)(74, 249)(75, 240)(76, 241)(77, 250)(78, 242)(79, 245)(80, 251)(81, 246)(82, 247)(83, 252)(84, 248)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 2, 168, 2, 168, 2, 168 ), ( 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168 ) }
Outer automorphisms :: reflexible
Dual of E28.2134
Graph:: bipartite
	v = 29 e = 168 f = 85
	degree seq :: [ 6^28, 168 ]

E28.2134 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 84, 84})
Quotient :: dipole
Aut^+ = C84 (small group id <84, 6>)
Aut   = D168 (small group id <168, 36>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y3)^2, (R * Y1)^2, (Y3, Y1), (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y3^-1 * Y1^28, (Y1^-1 * Y3^-1)^84 ]
Map::
	R = (1, 85, 2, 86, 6, 90, 12, 96, 18, 102, 24, 108, 30, 114, 36, 120, 42, 126, 48, 132, 54, 138, 60, 144, 66, 150, 72, 156, 78, 162, 81, 165, 75, 159, 69, 153, 63, 147, 57, 141, 51, 135, 45, 129, 39, 123, 33, 117, 27, 111, 21, 105, 15, 99, 9, 93, 3, 87, 7, 91, 13, 97, 19, 103, 25, 109, 31, 115, 37, 121, 43, 127, 49, 133, 55, 139, 61, 145, 67, 151, 73, 157, 79, 163, 84, 168, 83, 167, 77, 161, 71, 155, 65, 149, 59, 143, 53, 137, 47, 131, 41, 125, 35, 119, 29, 113, 23, 107, 17, 101, 11, 95, 5, 89, 8, 92, 14, 98, 20, 104, 26, 110, 32, 116, 38, 122, 44, 128, 50, 134, 56, 140, 62, 146, 68, 152, 74, 158, 80, 164, 82, 166, 76, 160, 70, 154, 64, 148, 58, 142, 52, 136, 46, 130, 40, 124, 34, 118, 28, 112, 22, 106, 16, 100, 10, 94, 4, 88)(169, 253)(170, 254)(171, 255)(172, 256)(173, 257)(174, 258)(175, 259)(176, 260)(177, 261)(178, 262)(179, 263)(180, 264)(181, 265)(182, 266)(183, 267)(184, 268)(185, 269)(186, 270)(187, 271)(188, 272)(189, 273)(190, 274)(191, 275)(192, 276)(193, 277)(194, 278)(195, 279)(196, 280)(197, 281)(198, 282)(199, 283)(200, 284)(201, 285)(202, 286)(203, 287)(204, 288)(205, 289)(206, 290)(207, 291)(208, 292)(209, 293)(210, 294)(211, 295)(212, 296)(213, 297)(214, 298)(215, 299)(216, 300)(217, 301)(218, 302)(219, 303)(220, 304)(221, 305)(222, 306)(223, 307)(224, 308)(225, 309)(226, 310)(227, 311)(228, 312)(229, 313)(230, 314)(231, 315)(232, 316)(233, 317)(234, 318)(235, 319)(236, 320)(237, 321)(238, 322)(239, 323)(240, 324)(241, 325)(242, 326)(243, 327)(244, 328)(245, 329)(246, 330)(247, 331)(248, 332)(249, 333)(250, 334)(251, 335)(252, 336)
	L = (1, 171)(2, 175)(3, 173)(4, 177)(5, 169)(6, 181)(7, 176)(8, 170)(9, 179)(10, 183)(11, 172)(12, 187)(13, 182)(14, 174)(15, 185)(16, 189)(17, 178)(18, 193)(19, 188)(20, 180)(21, 191)(22, 195)(23, 184)(24, 199)(25, 194)(26, 186)(27, 197)(28, 201)(29, 190)(30, 205)(31, 200)(32, 192)(33, 203)(34, 207)(35, 196)(36, 211)(37, 206)(38, 198)(39, 209)(40, 213)(41, 202)(42, 217)(43, 212)(44, 204)(45, 215)(46, 219)(47, 208)(48, 223)(49, 218)(50, 210)(51, 221)(52, 225)(53, 214)(54, 229)(55, 224)(56, 216)(57, 227)(58, 231)(59, 220)(60, 235)(61, 230)(62, 222)(63, 233)(64, 237)(65, 226)(66, 241)(67, 236)(68, 228)(69, 239)(70, 243)(71, 232)(72, 247)(73, 242)(74, 234)(75, 245)(76, 249)(77, 238)(78, 252)(79, 248)(80, 240)(81, 251)(82, 246)(83, 244)(84, 250)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 6, 168 ), ( 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168, 6, 168 ) }
Outer automorphisms :: reflexible
Dual of E28.2133
Graph:: bipartite
	v = 85 e = 168 f = 29
	degree seq :: [ 2^84, 168 ]

E28.2135 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 29, 87})
Quotient :: edge
Aut^+ = C87 (small group id <87, 1>)
Aut   = D174 (small group id <174, 3>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, (T1, T2^-1), T2^29 ]
Map:: non-degenerate
	R = (1, 3, 8, 14, 20, 26, 32, 38, 44, 50, 56, 62, 68, 74, 80, 83, 77, 71, 65, 59, 53, 47, 41, 35, 29, 23, 17, 11, 5)(2, 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 85, 79, 73, 67, 61, 55, 49, 43, 37, 31, 25, 19, 13, 7)(4, 9, 15, 21, 27, 33, 39, 45, 51, 57, 63, 69, 75, 81, 86, 87, 82, 76, 70, 64, 58, 52, 46, 40, 34, 28, 22, 16, 10)(88, 89, 91)(90, 93, 96)(92, 94, 97)(95, 99, 102)(98, 100, 103)(101, 105, 108)(104, 106, 109)(107, 111, 114)(110, 112, 115)(113, 117, 120)(116, 118, 121)(119, 123, 126)(122, 124, 127)(125, 129, 132)(128, 130, 133)(131, 135, 138)(134, 136, 139)(137, 141, 144)(140, 142, 145)(143, 147, 150)(146, 148, 151)(149, 153, 156)(152, 154, 157)(155, 159, 162)(158, 160, 163)(161, 165, 168)(164, 166, 169)(167, 171, 173)(170, 172, 174)
	L = (1, 88)(2, 89)(3, 90)(4, 91)(5, 92)(6, 93)(7, 94)(8, 95)(9, 96)(10, 97)(11, 98)(12, 99)(13, 100)(14, 101)(15, 102)(16, 103)(17, 104)(18, 105)(19, 106)(20, 107)(21, 108)(22, 109)(23, 110)(24, 111)(25, 112)(26, 113)(27, 114)(28, 115)(29, 116)(30, 117)(31, 118)(32, 119)(33, 120)(34, 121)(35, 122)(36, 123)(37, 124)(38, 125)(39, 126)(40, 127)(41, 128)(42, 129)(43, 130)(44, 131)(45, 132)(46, 133)(47, 134)(48, 135)(49, 136)(50, 137)(51, 138)(52, 139)(53, 140)(54, 141)(55, 142)(56, 143)(57, 144)(58, 145)(59, 146)(60, 147)(61, 148)(62, 149)(63, 150)(64, 151)(65, 152)(66, 153)(67, 154)(68, 155)(69, 156)(70, 157)(71, 158)(72, 159)(73, 160)(74, 161)(75, 162)(76, 163)(77, 164)(78, 165)(79, 166)(80, 167)(81, 168)(82, 169)(83, 170)(84, 171)(85, 172)(86, 173)(87, 174)
	local type(s) :: { ( 174^3 ), ( 174^29 ) }
Outer automorphisms :: reflexible
Dual of E28.2139
Transitivity :: ET+
Graph:: simple bipartite
	v = 32 e = 87 f = 1
	degree seq :: [ 3^29, 29^3 ]

E28.2136 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 29, 87})
Quotient :: edge
Aut^+ = C87 (small group id <87, 1>)
Aut   = D174 (small group id <174, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-3 * T2^-3, T2^-27 * T1^2, T1^11 * T2^-1 * T1 * T2^-1 * T1 * T2^-13 * T1, T1^29, T2^87 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 25, 31, 37, 43, 49, 55, 61, 67, 73, 79, 85, 82, 78, 71, 64, 60, 53, 46, 42, 35, 28, 24, 16, 6, 15, 12, 4, 10, 20, 26, 32, 38, 44, 50, 56, 62, 68, 74, 80, 86, 83, 76, 72, 65, 58, 54, 47, 40, 36, 29, 22, 18, 8, 2, 7, 17, 11, 21, 27, 33, 39, 45, 51, 57, 63, 69, 75, 81, 87, 84, 77, 70, 66, 59, 52, 48, 41, 34, 30, 23, 14, 13, 5)(88, 89, 93, 101, 109, 115, 121, 127, 133, 139, 145, 151, 157, 163, 169, 174, 167, 160, 156, 149, 142, 138, 131, 124, 120, 113, 106, 98, 91)(90, 94, 102, 100, 105, 111, 117, 123, 129, 135, 141, 147, 153, 159, 165, 171, 173, 166, 162, 155, 148, 144, 137, 130, 126, 119, 112, 108, 97)(92, 95, 103, 110, 116, 122, 128, 134, 140, 146, 152, 158, 164, 170, 172, 168, 161, 154, 150, 143, 136, 132, 125, 118, 114, 107, 96, 104, 99)
	L = (1, 88)(2, 89)(3, 90)(4, 91)(5, 92)(6, 93)(7, 94)(8, 95)(9, 96)(10, 97)(11, 98)(12, 99)(13, 100)(14, 101)(15, 102)(16, 103)(17, 104)(18, 105)(19, 106)(20, 107)(21, 108)(22, 109)(23, 110)(24, 111)(25, 112)(26, 113)(27, 114)(28, 115)(29, 116)(30, 117)(31, 118)(32, 119)(33, 120)(34, 121)(35, 122)(36, 123)(37, 124)(38, 125)(39, 126)(40, 127)(41, 128)(42, 129)(43, 130)(44, 131)(45, 132)(46, 133)(47, 134)(48, 135)(49, 136)(50, 137)(51, 138)(52, 139)(53, 140)(54, 141)(55, 142)(56, 143)(57, 144)(58, 145)(59, 146)(60, 147)(61, 148)(62, 149)(63, 150)(64, 151)(65, 152)(66, 153)(67, 154)(68, 155)(69, 156)(70, 157)(71, 158)(72, 159)(73, 160)(74, 161)(75, 162)(76, 163)(77, 164)(78, 165)(79, 166)(80, 167)(81, 168)(82, 169)(83, 170)(84, 171)(85, 172)(86, 173)(87, 174)
	local type(s) :: { ( 6^29 ), ( 6^87 ) }
Outer automorphisms :: reflexible
Dual of E28.2140
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 87 f = 29
	degree seq :: [ 29^3, 87 ]

E28.2137 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 29, 87})
Quotient :: edge
Aut^+ = C87 (small group id <87, 1>)
Aut   = D174 (small group id <174, 3>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, (T2, T1), T2 * T1^-29, (T1^-1 * T2^-1)^29 ]
Map:: non-degenerate
	R = (1, 3, 5)(2, 7, 8)(4, 9, 11)(6, 13, 14)(10, 15, 17)(12, 19, 20)(16, 21, 23)(18, 25, 26)(22, 27, 29)(24, 31, 32)(28, 33, 35)(30, 37, 38)(34, 39, 41)(36, 43, 44)(40, 45, 47)(42, 49, 50)(46, 51, 53)(48, 55, 56)(52, 57, 59)(54, 61, 62)(58, 63, 65)(60, 67, 68)(64, 69, 71)(66, 73, 74)(70, 75, 77)(72, 79, 80)(76, 81, 83)(78, 85, 86)(82, 84, 87)(88, 89, 93, 99, 105, 111, 117, 123, 129, 135, 141, 147, 153, 159, 165, 171, 168, 162, 156, 150, 144, 138, 132, 126, 120, 114, 108, 102, 96, 90, 94, 100, 106, 112, 118, 124, 130, 136, 142, 148, 154, 160, 166, 172, 174, 170, 164, 158, 152, 146, 140, 134, 128, 122, 116, 110, 104, 98, 92, 95, 101, 107, 113, 119, 125, 131, 137, 143, 149, 155, 161, 167, 173, 169, 163, 157, 151, 145, 139, 133, 127, 121, 115, 109, 103, 97, 91)
	L = (1, 88)(2, 89)(3, 90)(4, 91)(5, 92)(6, 93)(7, 94)(8, 95)(9, 96)(10, 97)(11, 98)(12, 99)(13, 100)(14, 101)(15, 102)(16, 103)(17, 104)(18, 105)(19, 106)(20, 107)(21, 108)(22, 109)(23, 110)(24, 111)(25, 112)(26, 113)(27, 114)(28, 115)(29, 116)(30, 117)(31, 118)(32, 119)(33, 120)(34, 121)(35, 122)(36, 123)(37, 124)(38, 125)(39, 126)(40, 127)(41, 128)(42, 129)(43, 130)(44, 131)(45, 132)(46, 133)(47, 134)(48, 135)(49, 136)(50, 137)(51, 138)(52, 139)(53, 140)(54, 141)(55, 142)(56, 143)(57, 144)(58, 145)(59, 146)(60, 147)(61, 148)(62, 149)(63, 150)(64, 151)(65, 152)(66, 153)(67, 154)(68, 155)(69, 156)(70, 157)(71, 158)(72, 159)(73, 160)(74, 161)(75, 162)(76, 163)(77, 164)(78, 165)(79, 166)(80, 167)(81, 168)(82, 169)(83, 170)(84, 171)(85, 172)(86, 173)(87, 174)
	local type(s) :: { ( 58^3 ), ( 58^87 ) }
Outer automorphisms :: reflexible
Dual of E28.2138
Transitivity :: ET+
Graph:: bipartite
	v = 30 e = 87 f = 3
	degree seq :: [ 3^29, 87 ]

E28.2138 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 29, 87})
Quotient :: loop
Aut^+ = C87 (small group id <87, 1>)
Aut   = D174 (small group id <174, 3>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, (T1, T2^-1), T2^29 ]
Map:: non-degenerate
	R = (1, 88, 3, 90, 8, 95, 14, 101, 20, 107, 26, 113, 32, 119, 38, 125, 44, 131, 50, 137, 56, 143, 62, 149, 68, 155, 74, 161, 80, 167, 83, 170, 77, 164, 71, 158, 65, 152, 59, 146, 53, 140, 47, 134, 41, 128, 35, 122, 29, 116, 23, 110, 17, 104, 11, 98, 5, 92)(2, 89, 6, 93, 12, 99, 18, 105, 24, 111, 30, 117, 36, 123, 42, 129, 48, 135, 54, 141, 60, 147, 66, 153, 72, 159, 78, 165, 84, 171, 85, 172, 79, 166, 73, 160, 67, 154, 61, 148, 55, 142, 49, 136, 43, 130, 37, 124, 31, 118, 25, 112, 19, 106, 13, 100, 7, 94)(4, 91, 9, 96, 15, 102, 21, 108, 27, 114, 33, 120, 39, 126, 45, 132, 51, 138, 57, 144, 63, 150, 69, 156, 75, 162, 81, 168, 86, 173, 87, 174, 82, 169, 76, 163, 70, 157, 64, 151, 58, 145, 52, 139, 46, 133, 40, 127, 34, 121, 28, 115, 22, 109, 16, 103, 10, 97)
	L = (1, 89)(2, 91)(3, 93)(4, 88)(5, 94)(6, 96)(7, 97)(8, 99)(9, 90)(10, 92)(11, 100)(12, 102)(13, 103)(14, 105)(15, 95)(16, 98)(17, 106)(18, 108)(19, 109)(20, 111)(21, 101)(22, 104)(23, 112)(24, 114)(25, 115)(26, 117)(27, 107)(28, 110)(29, 118)(30, 120)(31, 121)(32, 123)(33, 113)(34, 116)(35, 124)(36, 126)(37, 127)(38, 129)(39, 119)(40, 122)(41, 130)(42, 132)(43, 133)(44, 135)(45, 125)(46, 128)(47, 136)(48, 138)(49, 139)(50, 141)(51, 131)(52, 134)(53, 142)(54, 144)(55, 145)(56, 147)(57, 137)(58, 140)(59, 148)(60, 150)(61, 151)(62, 153)(63, 143)(64, 146)(65, 154)(66, 156)(67, 157)(68, 159)(69, 149)(70, 152)(71, 160)(72, 162)(73, 163)(74, 165)(75, 155)(76, 158)(77, 166)(78, 168)(79, 169)(80, 171)(81, 161)(82, 164)(83, 172)(84, 173)(85, 174)(86, 167)(87, 170)
	local type(s) :: { ( 3, 87, 3, 87, 3, 87, 3, 87, 3, 87, 3, 87, 3, 87, 3, 87, 3, 87, 3, 87, 3, 87, 3, 87, 3, 87, 3, 87, 3, 87, 3, 87, 3, 87, 3, 87, 3, 87, 3, 87, 3, 87, 3, 87, 3, 87, 3, 87, 3, 87, 3, 87, 3, 87, 3, 87, 3, 87 ) }
Outer automorphisms :: reflexible
Dual of E28.2137
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 87 f = 30
	degree seq :: [ 58^3 ]

E28.2139 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 29, 87})
Quotient :: loop
Aut^+ = C87 (small group id <87, 1>)
Aut   = D174 (small group id <174, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-3 * T2^-3, T2^-27 * T1^2, T1^11 * T2^-1 * T1 * T2^-1 * T1 * T2^-13 * T1, T1^29, T2^87 ]
Map:: non-degenerate
	R = (1, 88, 3, 90, 9, 96, 19, 106, 25, 112, 31, 118, 37, 124, 43, 130, 49, 136, 55, 142, 61, 148, 67, 154, 73, 160, 79, 166, 85, 172, 82, 169, 78, 165, 71, 158, 64, 151, 60, 147, 53, 140, 46, 133, 42, 129, 35, 122, 28, 115, 24, 111, 16, 103, 6, 93, 15, 102, 12, 99, 4, 91, 10, 97, 20, 107, 26, 113, 32, 119, 38, 125, 44, 131, 50, 137, 56, 143, 62, 149, 68, 155, 74, 161, 80, 167, 86, 173, 83, 170, 76, 163, 72, 159, 65, 152, 58, 145, 54, 141, 47, 134, 40, 127, 36, 123, 29, 116, 22, 109, 18, 105, 8, 95, 2, 89, 7, 94, 17, 104, 11, 98, 21, 108, 27, 114, 33, 120, 39, 126, 45, 132, 51, 138, 57, 144, 63, 150, 69, 156, 75, 162, 81, 168, 87, 174, 84, 171, 77, 164, 70, 157, 66, 153, 59, 146, 52, 139, 48, 135, 41, 128, 34, 121, 30, 117, 23, 110, 14, 101, 13, 100, 5, 92)
	L = (1, 89)(2, 93)(3, 94)(4, 88)(5, 95)(6, 101)(7, 102)(8, 103)(9, 104)(10, 90)(11, 91)(12, 92)(13, 105)(14, 109)(15, 100)(16, 110)(17, 99)(18, 111)(19, 98)(20, 96)(21, 97)(22, 115)(23, 116)(24, 117)(25, 108)(26, 106)(27, 107)(28, 121)(29, 122)(30, 123)(31, 114)(32, 112)(33, 113)(34, 127)(35, 128)(36, 129)(37, 120)(38, 118)(39, 119)(40, 133)(41, 134)(42, 135)(43, 126)(44, 124)(45, 125)(46, 139)(47, 140)(48, 141)(49, 132)(50, 130)(51, 131)(52, 145)(53, 146)(54, 147)(55, 138)(56, 136)(57, 137)(58, 151)(59, 152)(60, 153)(61, 144)(62, 142)(63, 143)(64, 157)(65, 158)(66, 159)(67, 150)(68, 148)(69, 149)(70, 163)(71, 164)(72, 165)(73, 156)(74, 154)(75, 155)(76, 169)(77, 170)(78, 171)(79, 162)(80, 160)(81, 161)(82, 174)(83, 172)(84, 173)(85, 168)(86, 166)(87, 167)
	local type(s) :: { ( 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29, 3, 29 ) }
Outer automorphisms :: reflexible
Dual of E28.2135
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 87 f = 32
	degree seq :: [ 174 ]

E28.2140 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 29, 87})
Quotient :: loop
Aut^+ = C87 (small group id <87, 1>)
Aut   = D174 (small group id <174, 3>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, (T2, T1), T2 * T1^-29, (T1^-1 * T2^-1)^29 ]
Map:: non-degenerate
	R = (1, 88, 3, 90, 5, 92)(2, 89, 7, 94, 8, 95)(4, 91, 9, 96, 11, 98)(6, 93, 13, 100, 14, 101)(10, 97, 15, 102, 17, 104)(12, 99, 19, 106, 20, 107)(16, 103, 21, 108, 23, 110)(18, 105, 25, 112, 26, 113)(22, 109, 27, 114, 29, 116)(24, 111, 31, 118, 32, 119)(28, 115, 33, 120, 35, 122)(30, 117, 37, 124, 38, 125)(34, 121, 39, 126, 41, 128)(36, 123, 43, 130, 44, 131)(40, 127, 45, 132, 47, 134)(42, 129, 49, 136, 50, 137)(46, 133, 51, 138, 53, 140)(48, 135, 55, 142, 56, 143)(52, 139, 57, 144, 59, 146)(54, 141, 61, 148, 62, 149)(58, 145, 63, 150, 65, 152)(60, 147, 67, 154, 68, 155)(64, 151, 69, 156, 71, 158)(66, 153, 73, 160, 74, 161)(70, 157, 75, 162, 77, 164)(72, 159, 79, 166, 80, 167)(76, 163, 81, 168, 83, 170)(78, 165, 85, 172, 86, 173)(82, 169, 84, 171, 87, 174)
	L = (1, 89)(2, 93)(3, 94)(4, 88)(5, 95)(6, 99)(7, 100)(8, 101)(9, 90)(10, 91)(11, 92)(12, 105)(13, 106)(14, 107)(15, 96)(16, 97)(17, 98)(18, 111)(19, 112)(20, 113)(21, 102)(22, 103)(23, 104)(24, 117)(25, 118)(26, 119)(27, 108)(28, 109)(29, 110)(30, 123)(31, 124)(32, 125)(33, 114)(34, 115)(35, 116)(36, 129)(37, 130)(38, 131)(39, 120)(40, 121)(41, 122)(42, 135)(43, 136)(44, 137)(45, 126)(46, 127)(47, 128)(48, 141)(49, 142)(50, 143)(51, 132)(52, 133)(53, 134)(54, 147)(55, 148)(56, 149)(57, 138)(58, 139)(59, 140)(60, 153)(61, 154)(62, 155)(63, 144)(64, 145)(65, 146)(66, 159)(67, 160)(68, 161)(69, 150)(70, 151)(71, 152)(72, 165)(73, 166)(74, 167)(75, 156)(76, 157)(77, 158)(78, 171)(79, 172)(80, 173)(81, 162)(82, 163)(83, 164)(84, 168)(85, 174)(86, 169)(87, 170)
	local type(s) :: { ( 29, 87, 29, 87, 29, 87 ) }
Outer automorphisms :: reflexible
Dual of E28.2136
Transitivity :: ET+ VT+ AT
Graph::
	v = 29 e = 87 f = 4
	degree seq :: [ 6^29 ]

E28.2141 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 29, 87})
Quotient :: dipole
Aut^+ = C87 (small group id <87, 1>)
Aut   = D174 (small group id <174, 3>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2^-1, Y1^-1), (Y3^-1, Y2^-1), Y2^29, Y3^87 ]
Map::
	R = (1, 88, 2, 89, 4, 91)(3, 90, 6, 93, 9, 96)(5, 92, 7, 94, 10, 97)(8, 95, 12, 99, 15, 102)(11, 98, 13, 100, 16, 103)(14, 101, 18, 105, 21, 108)(17, 104, 19, 106, 22, 109)(20, 107, 24, 111, 27, 114)(23, 110, 25, 112, 28, 115)(26, 113, 30, 117, 33, 120)(29, 116, 31, 118, 34, 121)(32, 119, 36, 123, 39, 126)(35, 122, 37, 124, 40, 127)(38, 125, 42, 129, 45, 132)(41, 128, 43, 130, 46, 133)(44, 131, 48, 135, 51, 138)(47, 134, 49, 136, 52, 139)(50, 137, 54, 141, 57, 144)(53, 140, 55, 142, 58, 145)(56, 143, 60, 147, 63, 150)(59, 146, 61, 148, 64, 151)(62, 149, 66, 153, 69, 156)(65, 152, 67, 154, 70, 157)(68, 155, 72, 159, 75, 162)(71, 158, 73, 160, 76, 163)(74, 161, 78, 165, 81, 168)(77, 164, 79, 166, 82, 169)(80, 167, 84, 171, 86, 173)(83, 170, 85, 172, 87, 174)(175, 262, 177, 264, 182, 269, 188, 275, 194, 281, 200, 287, 206, 293, 212, 299, 218, 305, 224, 311, 230, 317, 236, 323, 242, 329, 248, 335, 254, 341, 257, 344, 251, 338, 245, 332, 239, 326, 233, 320, 227, 314, 221, 308, 215, 302, 209, 296, 203, 290, 197, 284, 191, 278, 185, 272, 179, 266)(176, 263, 180, 267, 186, 273, 192, 279, 198, 285, 204, 291, 210, 297, 216, 303, 222, 309, 228, 315, 234, 321, 240, 327, 246, 333, 252, 339, 258, 345, 259, 346, 253, 340, 247, 334, 241, 328, 235, 322, 229, 316, 223, 310, 217, 304, 211, 298, 205, 292, 199, 286, 193, 280, 187, 274, 181, 268)(178, 265, 183, 270, 189, 276, 195, 282, 201, 288, 207, 294, 213, 300, 219, 306, 225, 312, 231, 318, 237, 324, 243, 330, 249, 336, 255, 342, 260, 347, 261, 348, 256, 343, 250, 337, 244, 331, 238, 325, 232, 319, 226, 313, 220, 307, 214, 301, 208, 295, 202, 289, 196, 283, 190, 277, 184, 271)
	L = (1, 178)(2, 175)(3, 183)(4, 176)(5, 184)(6, 177)(7, 179)(8, 189)(9, 180)(10, 181)(11, 190)(12, 182)(13, 185)(14, 195)(15, 186)(16, 187)(17, 196)(18, 188)(19, 191)(20, 201)(21, 192)(22, 193)(23, 202)(24, 194)(25, 197)(26, 207)(27, 198)(28, 199)(29, 208)(30, 200)(31, 203)(32, 213)(33, 204)(34, 205)(35, 214)(36, 206)(37, 209)(38, 219)(39, 210)(40, 211)(41, 220)(42, 212)(43, 215)(44, 225)(45, 216)(46, 217)(47, 226)(48, 218)(49, 221)(50, 231)(51, 222)(52, 223)(53, 232)(54, 224)(55, 227)(56, 237)(57, 228)(58, 229)(59, 238)(60, 230)(61, 233)(62, 243)(63, 234)(64, 235)(65, 244)(66, 236)(67, 239)(68, 249)(69, 240)(70, 241)(71, 250)(72, 242)(73, 245)(74, 255)(75, 246)(76, 247)(77, 256)(78, 248)(79, 251)(80, 260)(81, 252)(82, 253)(83, 261)(84, 254)(85, 257)(86, 258)(87, 259)(88, 262)(89, 263)(90, 264)(91, 265)(92, 266)(93, 267)(94, 268)(95, 269)(96, 270)(97, 271)(98, 272)(99, 273)(100, 274)(101, 275)(102, 276)(103, 277)(104, 278)(105, 279)(106, 280)(107, 281)(108, 282)(109, 283)(110, 284)(111, 285)(112, 286)(113, 287)(114, 288)(115, 289)(116, 290)(117, 291)(118, 292)(119, 293)(120, 294)(121, 295)(122, 296)(123, 297)(124, 298)(125, 299)(126, 300)(127, 301)(128, 302)(129, 303)(130, 304)(131, 305)(132, 306)(133, 307)(134, 308)(135, 309)(136, 310)(137, 311)(138, 312)(139, 313)(140, 314)(141, 315)(142, 316)(143, 317)(144, 318)(145, 319)(146, 320)(147, 321)(148, 322)(149, 323)(150, 324)(151, 325)(152, 326)(153, 327)(154, 328)(155, 329)(156, 330)(157, 331)(158, 332)(159, 333)(160, 334)(161, 335)(162, 336)(163, 337)(164, 338)(165, 339)(166, 340)(167, 341)(168, 342)(169, 343)(170, 344)(171, 345)(172, 346)(173, 347)(174, 348)
	local type(s) :: { ( 2, 174, 2, 174, 2, 174 ), ( 2, 174, 2, 174, 2, 174, 2, 174, 2, 174, 2, 174, 2, 174, 2, 174, 2, 174, 2, 174, 2, 174, 2, 174, 2, 174, 2, 174, 2, 174, 2, 174, 2, 174, 2, 174, 2, 174, 2, 174, 2, 174, 2, 174, 2, 174, 2, 174, 2, 174, 2, 174, 2, 174, 2, 174, 2, 174 ) }
Outer automorphisms :: reflexible
Dual of E28.2144
Graph:: bipartite
	v = 32 e = 174 f = 88
	degree seq :: [ 6^29, 58^3 ]

E28.2142 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 29, 87})
Quotient :: dipole
Aut^+ = C87 (small group id <87, 1>)
Aut   = D174 (small group id <174, 3>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (Y1, Y2^-1), (Y3^-1 * Y1^-1)^3, Y1^12 * Y2^12, Y1^12 * Y2^-1 * Y1 * Y2^-14 * Y1, Y1^29, Y2^-129 * Y1^-13 ]
Map::
	R = (1, 88, 2, 89, 6, 93, 14, 101, 22, 109, 28, 115, 34, 121, 40, 127, 46, 133, 52, 139, 58, 145, 64, 151, 70, 157, 76, 163, 82, 169, 87, 174, 80, 167, 73, 160, 69, 156, 62, 149, 55, 142, 51, 138, 44, 131, 37, 124, 33, 120, 26, 113, 19, 106, 11, 98, 4, 91)(3, 90, 7, 94, 15, 102, 13, 100, 18, 105, 24, 111, 30, 117, 36, 123, 42, 129, 48, 135, 54, 141, 60, 147, 66, 153, 72, 159, 78, 165, 84, 171, 86, 173, 79, 166, 75, 162, 68, 155, 61, 148, 57, 144, 50, 137, 43, 130, 39, 126, 32, 119, 25, 112, 21, 108, 10, 97)(5, 92, 8, 95, 16, 103, 23, 110, 29, 116, 35, 122, 41, 128, 47, 134, 53, 140, 59, 146, 65, 152, 71, 158, 77, 164, 83, 170, 85, 172, 81, 168, 74, 161, 67, 154, 63, 150, 56, 143, 49, 136, 45, 132, 38, 125, 31, 118, 27, 114, 20, 107, 9, 96, 17, 104, 12, 99)(175, 262, 177, 264, 183, 270, 193, 280, 199, 286, 205, 292, 211, 298, 217, 304, 223, 310, 229, 316, 235, 322, 241, 328, 247, 334, 253, 340, 259, 346, 256, 343, 252, 339, 245, 332, 238, 325, 234, 321, 227, 314, 220, 307, 216, 303, 209, 296, 202, 289, 198, 285, 190, 277, 180, 267, 189, 276, 186, 273, 178, 265, 184, 271, 194, 281, 200, 287, 206, 293, 212, 299, 218, 305, 224, 311, 230, 317, 236, 323, 242, 329, 248, 335, 254, 341, 260, 347, 257, 344, 250, 337, 246, 333, 239, 326, 232, 319, 228, 315, 221, 308, 214, 301, 210, 297, 203, 290, 196, 283, 192, 279, 182, 269, 176, 263, 181, 268, 191, 278, 185, 272, 195, 282, 201, 288, 207, 294, 213, 300, 219, 306, 225, 312, 231, 318, 237, 324, 243, 330, 249, 336, 255, 342, 261, 348, 258, 345, 251, 338, 244, 331, 240, 327, 233, 320, 226, 313, 222, 309, 215, 302, 208, 295, 204, 291, 197, 284, 188, 275, 187, 274, 179, 266)
	L = (1, 177)(2, 181)(3, 183)(4, 184)(5, 175)(6, 189)(7, 191)(8, 176)(9, 193)(10, 194)(11, 195)(12, 178)(13, 179)(14, 187)(15, 186)(16, 180)(17, 185)(18, 182)(19, 199)(20, 200)(21, 201)(22, 192)(23, 188)(24, 190)(25, 205)(26, 206)(27, 207)(28, 198)(29, 196)(30, 197)(31, 211)(32, 212)(33, 213)(34, 204)(35, 202)(36, 203)(37, 217)(38, 218)(39, 219)(40, 210)(41, 208)(42, 209)(43, 223)(44, 224)(45, 225)(46, 216)(47, 214)(48, 215)(49, 229)(50, 230)(51, 231)(52, 222)(53, 220)(54, 221)(55, 235)(56, 236)(57, 237)(58, 228)(59, 226)(60, 227)(61, 241)(62, 242)(63, 243)(64, 234)(65, 232)(66, 233)(67, 247)(68, 248)(69, 249)(70, 240)(71, 238)(72, 239)(73, 253)(74, 254)(75, 255)(76, 246)(77, 244)(78, 245)(79, 259)(80, 260)(81, 261)(82, 252)(83, 250)(84, 251)(85, 256)(86, 257)(87, 258)(88, 262)(89, 263)(90, 264)(91, 265)(92, 266)(93, 267)(94, 268)(95, 269)(96, 270)(97, 271)(98, 272)(99, 273)(100, 274)(101, 275)(102, 276)(103, 277)(104, 278)(105, 279)(106, 280)(107, 281)(108, 282)(109, 283)(110, 284)(111, 285)(112, 286)(113, 287)(114, 288)(115, 289)(116, 290)(117, 291)(118, 292)(119, 293)(120, 294)(121, 295)(122, 296)(123, 297)(124, 298)(125, 299)(126, 300)(127, 301)(128, 302)(129, 303)(130, 304)(131, 305)(132, 306)(133, 307)(134, 308)(135, 309)(136, 310)(137, 311)(138, 312)(139, 313)(140, 314)(141, 315)(142, 316)(143, 317)(144, 318)(145, 319)(146, 320)(147, 321)(148, 322)(149, 323)(150, 324)(151, 325)(152, 326)(153, 327)(154, 328)(155, 329)(156, 330)(157, 331)(158, 332)(159, 333)(160, 334)(161, 335)(162, 336)(163, 337)(164, 338)(165, 339)(166, 340)(167, 341)(168, 342)(169, 343)(170, 344)(171, 345)(172, 346)(173, 347)(174, 348)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2143
Graph:: bipartite
	v = 4 e = 174 f = 116
	degree seq :: [ 58^3, 174 ]

E28.2143 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 29, 87})
Quotient :: dipole
Aut^+ = C87 (small group id <87, 1>)
Aut   = D174 (small group id <174, 3>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y3^-1), Y2^-1 * Y3^-29, Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^2, (Y3^-1 * Y1^-1)^87 ]
Map::
	R = (1, 88)(2, 89)(3, 90)(4, 91)(5, 92)(6, 93)(7, 94)(8, 95)(9, 96)(10, 97)(11, 98)(12, 99)(13, 100)(14, 101)(15, 102)(16, 103)(17, 104)(18, 105)(19, 106)(20, 107)(21, 108)(22, 109)(23, 110)(24, 111)(25, 112)(26, 113)(27, 114)(28, 115)(29, 116)(30, 117)(31, 118)(32, 119)(33, 120)(34, 121)(35, 122)(36, 123)(37, 124)(38, 125)(39, 126)(40, 127)(41, 128)(42, 129)(43, 130)(44, 131)(45, 132)(46, 133)(47, 134)(48, 135)(49, 136)(50, 137)(51, 138)(52, 139)(53, 140)(54, 141)(55, 142)(56, 143)(57, 144)(58, 145)(59, 146)(60, 147)(61, 148)(62, 149)(63, 150)(64, 151)(65, 152)(66, 153)(67, 154)(68, 155)(69, 156)(70, 157)(71, 158)(72, 159)(73, 160)(74, 161)(75, 162)(76, 163)(77, 164)(78, 165)(79, 166)(80, 167)(81, 168)(82, 169)(83, 170)(84, 171)(85, 172)(86, 173)(87, 174)(175, 262, 176, 263, 178, 265)(177, 264, 180, 267, 183, 270)(179, 266, 181, 268, 184, 271)(182, 269, 186, 273, 189, 276)(185, 272, 187, 274, 190, 277)(188, 275, 192, 279, 195, 282)(191, 278, 193, 280, 196, 283)(194, 281, 198, 285, 201, 288)(197, 284, 199, 286, 202, 289)(200, 287, 204, 291, 207, 294)(203, 290, 205, 292, 208, 295)(206, 293, 210, 297, 213, 300)(209, 296, 211, 298, 214, 301)(212, 299, 216, 303, 219, 306)(215, 302, 217, 304, 220, 307)(218, 305, 222, 309, 225, 312)(221, 308, 223, 310, 226, 313)(224, 311, 228, 315, 231, 318)(227, 314, 229, 316, 232, 319)(230, 317, 234, 321, 237, 324)(233, 320, 235, 322, 238, 325)(236, 323, 240, 327, 243, 330)(239, 326, 241, 328, 244, 331)(242, 329, 246, 333, 249, 336)(245, 332, 247, 334, 250, 337)(248, 335, 252, 339, 255, 342)(251, 338, 253, 340, 256, 343)(254, 341, 258, 345, 261, 348)(257, 344, 259, 346, 260, 347)
	L = (1, 177)(2, 180)(3, 182)(4, 183)(5, 175)(6, 186)(7, 176)(8, 188)(9, 189)(10, 178)(11, 179)(12, 192)(13, 181)(14, 194)(15, 195)(16, 184)(17, 185)(18, 198)(19, 187)(20, 200)(21, 201)(22, 190)(23, 191)(24, 204)(25, 193)(26, 206)(27, 207)(28, 196)(29, 197)(30, 210)(31, 199)(32, 212)(33, 213)(34, 202)(35, 203)(36, 216)(37, 205)(38, 218)(39, 219)(40, 208)(41, 209)(42, 222)(43, 211)(44, 224)(45, 225)(46, 214)(47, 215)(48, 228)(49, 217)(50, 230)(51, 231)(52, 220)(53, 221)(54, 234)(55, 223)(56, 236)(57, 237)(58, 226)(59, 227)(60, 240)(61, 229)(62, 242)(63, 243)(64, 232)(65, 233)(66, 246)(67, 235)(68, 248)(69, 249)(70, 238)(71, 239)(72, 252)(73, 241)(74, 254)(75, 255)(76, 244)(77, 245)(78, 258)(79, 247)(80, 260)(81, 261)(82, 250)(83, 251)(84, 257)(85, 253)(86, 256)(87, 259)(88, 262)(89, 263)(90, 264)(91, 265)(92, 266)(93, 267)(94, 268)(95, 269)(96, 270)(97, 271)(98, 272)(99, 273)(100, 274)(101, 275)(102, 276)(103, 277)(104, 278)(105, 279)(106, 280)(107, 281)(108, 282)(109, 283)(110, 284)(111, 285)(112, 286)(113, 287)(114, 288)(115, 289)(116, 290)(117, 291)(118, 292)(119, 293)(120, 294)(121, 295)(122, 296)(123, 297)(124, 298)(125, 299)(126, 300)(127, 301)(128, 302)(129, 303)(130, 304)(131, 305)(132, 306)(133, 307)(134, 308)(135, 309)(136, 310)(137, 311)(138, 312)(139, 313)(140, 314)(141, 315)(142, 316)(143, 317)(144, 318)(145, 319)(146, 320)(147, 321)(148, 322)(149, 323)(150, 324)(151, 325)(152, 326)(153, 327)(154, 328)(155, 329)(156, 330)(157, 331)(158, 332)(159, 333)(160, 334)(161, 335)(162, 336)(163, 337)(164, 338)(165, 339)(166, 340)(167, 341)(168, 342)(169, 343)(170, 344)(171, 345)(172, 346)(173, 347)(174, 348)
	local type(s) :: { ( 58, 174 ), ( 58, 174, 58, 174, 58, 174 ) }
Outer automorphisms :: reflexible
Dual of E28.2142
Graph:: simple bipartite
	v = 116 e = 174 f = 4
	degree seq :: [ 2^87, 6^29 ]

E28.2144 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 29, 87})
Quotient :: dipole
Aut^+ = C87 (small group id <87, 1>)
Aut   = D174 (small group id <174, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y1)^2, (R * Y3)^2, (Y3, Y1), (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y3 * Y1^-29, (Y1^-1 * Y3^-1)^29 ]
Map::
	R = (1, 88, 2, 89, 6, 93, 12, 99, 18, 105, 24, 111, 30, 117, 36, 123, 42, 129, 48, 135, 54, 141, 60, 147, 66, 153, 72, 159, 78, 165, 84, 171, 81, 168, 75, 162, 69, 156, 63, 150, 57, 144, 51, 138, 45, 132, 39, 126, 33, 120, 27, 114, 21, 108, 15, 102, 9, 96, 3, 90, 7, 94, 13, 100, 19, 106, 25, 112, 31, 118, 37, 124, 43, 130, 49, 136, 55, 142, 61, 148, 67, 154, 73, 160, 79, 166, 85, 172, 87, 174, 83, 170, 77, 164, 71, 158, 65, 152, 59, 146, 53, 140, 47, 134, 41, 128, 35, 122, 29, 116, 23, 110, 17, 104, 11, 98, 5, 92, 8, 95, 14, 101, 20, 107, 26, 113, 32, 119, 38, 125, 44, 131, 50, 137, 56, 143, 62, 149, 68, 155, 74, 161, 80, 167, 86, 173, 82, 169, 76, 163, 70, 157, 64, 151, 58, 145, 52, 139, 46, 133, 40, 127, 34, 121, 28, 115, 22, 109, 16, 103, 10, 97, 4, 91)(175, 262)(176, 263)(177, 264)(178, 265)(179, 266)(180, 267)(181, 268)(182, 269)(183, 270)(184, 271)(185, 272)(186, 273)(187, 274)(188, 275)(189, 276)(190, 277)(191, 278)(192, 279)(193, 280)(194, 281)(195, 282)(196, 283)(197, 284)(198, 285)(199, 286)(200, 287)(201, 288)(202, 289)(203, 290)(204, 291)(205, 292)(206, 293)(207, 294)(208, 295)(209, 296)(210, 297)(211, 298)(212, 299)(213, 300)(214, 301)(215, 302)(216, 303)(217, 304)(218, 305)(219, 306)(220, 307)(221, 308)(222, 309)(223, 310)(224, 311)(225, 312)(226, 313)(227, 314)(228, 315)(229, 316)(230, 317)(231, 318)(232, 319)(233, 320)(234, 321)(235, 322)(236, 323)(237, 324)(238, 325)(239, 326)(240, 327)(241, 328)(242, 329)(243, 330)(244, 331)(245, 332)(246, 333)(247, 334)(248, 335)(249, 336)(250, 337)(251, 338)(252, 339)(253, 340)(254, 341)(255, 342)(256, 343)(257, 344)(258, 345)(259, 346)(260, 347)(261, 348)
	L = (1, 177)(2, 181)(3, 179)(4, 183)(5, 175)(6, 187)(7, 182)(8, 176)(9, 185)(10, 189)(11, 178)(12, 193)(13, 188)(14, 180)(15, 191)(16, 195)(17, 184)(18, 199)(19, 194)(20, 186)(21, 197)(22, 201)(23, 190)(24, 205)(25, 200)(26, 192)(27, 203)(28, 207)(29, 196)(30, 211)(31, 206)(32, 198)(33, 209)(34, 213)(35, 202)(36, 217)(37, 212)(38, 204)(39, 215)(40, 219)(41, 208)(42, 223)(43, 218)(44, 210)(45, 221)(46, 225)(47, 214)(48, 229)(49, 224)(50, 216)(51, 227)(52, 231)(53, 220)(54, 235)(55, 230)(56, 222)(57, 233)(58, 237)(59, 226)(60, 241)(61, 236)(62, 228)(63, 239)(64, 243)(65, 232)(66, 247)(67, 242)(68, 234)(69, 245)(70, 249)(71, 238)(72, 253)(73, 248)(74, 240)(75, 251)(76, 255)(77, 244)(78, 259)(79, 254)(80, 246)(81, 257)(82, 258)(83, 250)(84, 261)(85, 260)(86, 252)(87, 256)(88, 262)(89, 263)(90, 264)(91, 265)(92, 266)(93, 267)(94, 268)(95, 269)(96, 270)(97, 271)(98, 272)(99, 273)(100, 274)(101, 275)(102, 276)(103, 277)(104, 278)(105, 279)(106, 280)(107, 281)(108, 282)(109, 283)(110, 284)(111, 285)(112, 286)(113, 287)(114, 288)(115, 289)(116, 290)(117, 291)(118, 292)(119, 293)(120, 294)(121, 295)(122, 296)(123, 297)(124, 298)(125, 299)(126, 300)(127, 301)(128, 302)(129, 303)(130, 304)(131, 305)(132, 306)(133, 307)(134, 308)(135, 309)(136, 310)(137, 311)(138, 312)(139, 313)(140, 314)(141, 315)(142, 316)(143, 317)(144, 318)(145, 319)(146, 320)(147, 321)(148, 322)(149, 323)(150, 324)(151, 325)(152, 326)(153, 327)(154, 328)(155, 329)(156, 330)(157, 331)(158, 332)(159, 333)(160, 334)(161, 335)(162, 336)(163, 337)(164, 338)(165, 339)(166, 340)(167, 341)(168, 342)(169, 343)(170, 344)(171, 345)(172, 346)(173, 347)(174, 348)
	local type(s) :: { ( 6, 58 ), ( 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58, 6, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.2141
Graph:: bipartite
	v = 88 e = 174 f = 32
	degree seq :: [ 2^87, 174 ]

E28.2145 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 29, 87})
Quotient :: dipole
Aut^+ = C87 (small group id <87, 1>)
Aut   = D174 (small group id <174, 3>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^3, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), (Y3^-1, Y2^-1), Y2^29 * Y1^-1, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 88, 2, 89, 4, 91)(3, 90, 6, 93, 9, 96)(5, 92, 7, 94, 10, 97)(8, 95, 12, 99, 15, 102)(11, 98, 13, 100, 16, 103)(14, 101, 18, 105, 21, 108)(17, 104, 19, 106, 22, 109)(20, 107, 24, 111, 27, 114)(23, 110, 25, 112, 28, 115)(26, 113, 30, 117, 33, 120)(29, 116, 31, 118, 34, 121)(32, 119, 36, 123, 39, 126)(35, 122, 37, 124, 40, 127)(38, 125, 42, 129, 45, 132)(41, 128, 43, 130, 46, 133)(44, 131, 48, 135, 51, 138)(47, 134, 49, 136, 52, 139)(50, 137, 54, 141, 57, 144)(53, 140, 55, 142, 58, 145)(56, 143, 60, 147, 63, 150)(59, 146, 61, 148, 64, 151)(62, 149, 66, 153, 69, 156)(65, 152, 67, 154, 70, 157)(68, 155, 72, 159, 75, 162)(71, 158, 73, 160, 76, 163)(74, 161, 78, 165, 81, 168)(77, 164, 79, 166, 82, 169)(80, 167, 84, 171, 86, 173)(83, 170, 85, 172, 87, 174)(175, 262, 177, 264, 182, 269, 188, 275, 194, 281, 200, 287, 206, 293, 212, 299, 218, 305, 224, 311, 230, 317, 236, 323, 242, 329, 248, 335, 254, 341, 259, 346, 253, 340, 247, 334, 241, 328, 235, 322, 229, 316, 223, 310, 217, 304, 211, 298, 205, 292, 199, 286, 193, 280, 187, 274, 181, 268, 176, 263, 180, 267, 186, 273, 192, 279, 198, 285, 204, 291, 210, 297, 216, 303, 222, 309, 228, 315, 234, 321, 240, 327, 246, 333, 252, 339, 258, 345, 261, 348, 256, 343, 250, 337, 244, 331, 238, 325, 232, 319, 226, 313, 220, 307, 214, 301, 208, 295, 202, 289, 196, 283, 190, 277, 184, 271, 178, 265, 183, 270, 189, 276, 195, 282, 201, 288, 207, 294, 213, 300, 219, 306, 225, 312, 231, 318, 237, 324, 243, 330, 249, 336, 255, 342, 260, 347, 257, 344, 251, 338, 245, 332, 239, 326, 233, 320, 227, 314, 221, 308, 215, 302, 209, 296, 203, 290, 197, 284, 191, 278, 185, 272, 179, 266)
	L = (1, 178)(2, 175)(3, 183)(4, 176)(5, 184)(6, 177)(7, 179)(8, 189)(9, 180)(10, 181)(11, 190)(12, 182)(13, 185)(14, 195)(15, 186)(16, 187)(17, 196)(18, 188)(19, 191)(20, 201)(21, 192)(22, 193)(23, 202)(24, 194)(25, 197)(26, 207)(27, 198)(28, 199)(29, 208)(30, 200)(31, 203)(32, 213)(33, 204)(34, 205)(35, 214)(36, 206)(37, 209)(38, 219)(39, 210)(40, 211)(41, 220)(42, 212)(43, 215)(44, 225)(45, 216)(46, 217)(47, 226)(48, 218)(49, 221)(50, 231)(51, 222)(52, 223)(53, 232)(54, 224)(55, 227)(56, 237)(57, 228)(58, 229)(59, 238)(60, 230)(61, 233)(62, 243)(63, 234)(64, 235)(65, 244)(66, 236)(67, 239)(68, 249)(69, 240)(70, 241)(71, 250)(72, 242)(73, 245)(74, 255)(75, 246)(76, 247)(77, 256)(78, 248)(79, 251)(80, 260)(81, 252)(82, 253)(83, 261)(84, 254)(85, 257)(86, 258)(87, 259)(88, 262)(89, 263)(90, 264)(91, 265)(92, 266)(93, 267)(94, 268)(95, 269)(96, 270)(97, 271)(98, 272)(99, 273)(100, 274)(101, 275)(102, 276)(103, 277)(104, 278)(105, 279)(106, 280)(107, 281)(108, 282)(109, 283)(110, 284)(111, 285)(112, 286)(113, 287)(114, 288)(115, 289)(116, 290)(117, 291)(118, 292)(119, 293)(120, 294)(121, 295)(122, 296)(123, 297)(124, 298)(125, 299)(126, 300)(127, 301)(128, 302)(129, 303)(130, 304)(131, 305)(132, 306)(133, 307)(134, 308)(135, 309)(136, 310)(137, 311)(138, 312)(139, 313)(140, 314)(141, 315)(142, 316)(143, 317)(144, 318)(145, 319)(146, 320)(147, 321)(148, 322)(149, 323)(150, 324)(151, 325)(152, 326)(153, 327)(154, 328)(155, 329)(156, 330)(157, 331)(158, 332)(159, 333)(160, 334)(161, 335)(162, 336)(163, 337)(164, 338)(165, 339)(166, 340)(167, 341)(168, 342)(169, 343)(170, 344)(171, 345)(172, 346)(173, 347)(174, 348)
	local type(s) :: { ( 2, 58, 2, 58, 2, 58 ), ( 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.2146
Graph:: bipartite
	v = 30 e = 174 f = 90
	degree seq :: [ 6^29, 174 ]

E28.2146 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 29, 87})
Quotient :: dipole
Aut^+ = C87 (small group id <87, 1>)
Aut   = D174 (small group id <174, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), Y1^-3 * Y3^-3, (R * Y2 * Y3^-1)^2, Y3^-27 * Y1^2, Y1^12 * Y3^-1 * Y1 * Y3^-14 * Y1, Y1^29, (Y3 * Y2^-1)^87 ]
Map::
	R = (1, 88, 2, 89, 6, 93, 14, 101, 22, 109, 28, 115, 34, 121, 40, 127, 46, 133, 52, 139, 58, 145, 64, 151, 70, 157, 76, 163, 82, 169, 87, 174, 80, 167, 73, 160, 69, 156, 62, 149, 55, 142, 51, 138, 44, 131, 37, 124, 33, 120, 26, 113, 19, 106, 11, 98, 4, 91)(3, 90, 7, 94, 15, 102, 13, 100, 18, 105, 24, 111, 30, 117, 36, 123, 42, 129, 48, 135, 54, 141, 60, 147, 66, 153, 72, 159, 78, 165, 84, 171, 86, 173, 79, 166, 75, 162, 68, 155, 61, 148, 57, 144, 50, 137, 43, 130, 39, 126, 32, 119, 25, 112, 21, 108, 10, 97)(5, 92, 8, 95, 16, 103, 23, 110, 29, 116, 35, 122, 41, 128, 47, 134, 53, 140, 59, 146, 65, 152, 71, 158, 77, 164, 83, 170, 85, 172, 81, 168, 74, 161, 67, 154, 63, 150, 56, 143, 49, 136, 45, 132, 38, 125, 31, 118, 27, 114, 20, 107, 9, 96, 17, 104, 12, 99)(175, 262)(176, 263)(177, 264)(178, 265)(179, 266)(180, 267)(181, 268)(182, 269)(183, 270)(184, 271)(185, 272)(186, 273)(187, 274)(188, 275)(189, 276)(190, 277)(191, 278)(192, 279)(193, 280)(194, 281)(195, 282)(196, 283)(197, 284)(198, 285)(199, 286)(200, 287)(201, 288)(202, 289)(203, 290)(204, 291)(205, 292)(206, 293)(207, 294)(208, 295)(209, 296)(210, 297)(211, 298)(212, 299)(213, 300)(214, 301)(215, 302)(216, 303)(217, 304)(218, 305)(219, 306)(220, 307)(221, 308)(222, 309)(223, 310)(224, 311)(225, 312)(226, 313)(227, 314)(228, 315)(229, 316)(230, 317)(231, 318)(232, 319)(233, 320)(234, 321)(235, 322)(236, 323)(237, 324)(238, 325)(239, 326)(240, 327)(241, 328)(242, 329)(243, 330)(244, 331)(245, 332)(246, 333)(247, 334)(248, 335)(249, 336)(250, 337)(251, 338)(252, 339)(253, 340)(254, 341)(255, 342)(256, 343)(257, 344)(258, 345)(259, 346)(260, 347)(261, 348)
	L = (1, 177)(2, 181)(3, 183)(4, 184)(5, 175)(6, 189)(7, 191)(8, 176)(9, 193)(10, 194)(11, 195)(12, 178)(13, 179)(14, 187)(15, 186)(16, 180)(17, 185)(18, 182)(19, 199)(20, 200)(21, 201)(22, 192)(23, 188)(24, 190)(25, 205)(26, 206)(27, 207)(28, 198)(29, 196)(30, 197)(31, 211)(32, 212)(33, 213)(34, 204)(35, 202)(36, 203)(37, 217)(38, 218)(39, 219)(40, 210)(41, 208)(42, 209)(43, 223)(44, 224)(45, 225)(46, 216)(47, 214)(48, 215)(49, 229)(50, 230)(51, 231)(52, 222)(53, 220)(54, 221)(55, 235)(56, 236)(57, 237)(58, 228)(59, 226)(60, 227)(61, 241)(62, 242)(63, 243)(64, 234)(65, 232)(66, 233)(67, 247)(68, 248)(69, 249)(70, 240)(71, 238)(72, 239)(73, 253)(74, 254)(75, 255)(76, 246)(77, 244)(78, 245)(79, 259)(80, 260)(81, 261)(82, 252)(83, 250)(84, 251)(85, 256)(86, 257)(87, 258)(88, 262)(89, 263)(90, 264)(91, 265)(92, 266)(93, 267)(94, 268)(95, 269)(96, 270)(97, 271)(98, 272)(99, 273)(100, 274)(101, 275)(102, 276)(103, 277)(104, 278)(105, 279)(106, 280)(107, 281)(108, 282)(109, 283)(110, 284)(111, 285)(112, 286)(113, 287)(114, 288)(115, 289)(116, 290)(117, 291)(118, 292)(119, 293)(120, 294)(121, 295)(122, 296)(123, 297)(124, 298)(125, 299)(126, 300)(127, 301)(128, 302)(129, 303)(130, 304)(131, 305)(132, 306)(133, 307)(134, 308)(135, 309)(136, 310)(137, 311)(138, 312)(139, 313)(140, 314)(141, 315)(142, 316)(143, 317)(144, 318)(145, 319)(146, 320)(147, 321)(148, 322)(149, 323)(150, 324)(151, 325)(152, 326)(153, 327)(154, 328)(155, 329)(156, 330)(157, 331)(158, 332)(159, 333)(160, 334)(161, 335)(162, 336)(163, 337)(164, 338)(165, 339)(166, 340)(167, 341)(168, 342)(169, 343)(170, 344)(171, 345)(172, 346)(173, 347)(174, 348)
	local type(s) :: { ( 6, 174 ), ( 6, 174, 6, 174, 6, 174, 6, 174, 6, 174, 6, 174, 6, 174, 6, 174, 6, 174, 6, 174, 6, 174, 6, 174, 6, 174, 6, 174, 6, 174, 6, 174, 6, 174, 6, 174, 6, 174, 6, 174, 6, 174, 6, 174, 6, 174, 6, 174, 6, 174, 6, 174, 6, 174, 6, 174, 6, 174 ) }
Outer automorphisms :: reflexible
Dual of E28.2145
Graph:: simple bipartite
	v = 90 e = 174 f = 30
	degree seq :: [ 2^87, 58^3 ]

E28.2147 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 15})
Quotient :: halfedge^2
Aut^+ = C3 x D30 (small group id <90, 7>)
Aut   = S3 x D30 (small group id <180, 29>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y2 * Y1 * Y2 * Y3 * Y1^-1, Y1^3 * Y2 * Y3 * Y2 * Y3, Y2 * Y3 * Y2 * Y3 * Y1^3, Y1^-2 * Y2 * Y3 * Y1^-4, Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1^3 * Y3 * Y1^-3 ]
Map:: non-degenerate
	R = (1, 92, 2, 96, 6, 108, 18, 138, 48, 121, 31, 100, 10, 112, 22, 128, 38, 103, 13, 115, 25, 143, 53, 137, 47, 107, 17, 95, 5, 91)(3, 99, 9, 117, 27, 139, 49, 130, 40, 104, 14, 94, 4, 102, 12, 125, 35, 120, 30, 159, 69, 166, 76, 127, 37, 124, 34, 101, 11, 93)(7, 111, 21, 145, 55, 135, 45, 155, 65, 116, 26, 98, 8, 114, 24, 151, 61, 136, 46, 170, 80, 179, 89, 153, 63, 150, 60, 113, 23, 97)(15, 131, 41, 144, 54, 110, 20, 142, 52, 134, 44, 106, 16, 133, 43, 169, 79, 161, 71, 173, 83, 141, 51, 109, 19, 140, 50, 132, 42, 105)(28, 146, 56, 171, 81, 164, 74, 178, 88, 160, 70, 119, 29, 147, 57, 165, 75, 126, 36, 152, 62, 174, 84, 168, 78, 180, 90, 158, 68, 118)(32, 148, 58, 172, 82, 157, 67, 177, 87, 163, 73, 123, 33, 149, 59, 167, 77, 129, 39, 154, 64, 175, 85, 156, 66, 176, 86, 162, 72, 122)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 28)(10, 30)(11, 32)(12, 36)(14, 39)(16, 38)(17, 45)(18, 37)(20, 53)(21, 56)(22, 46)(23, 58)(24, 62)(26, 64)(27, 66)(29, 69)(31, 71)(33, 35)(34, 74)(40, 78)(41, 68)(42, 72)(43, 75)(44, 77)(47, 49)(48, 63)(50, 81)(51, 82)(52, 84)(54, 85)(55, 86)(57, 80)(59, 61)(60, 88)(65, 90)(67, 76)(70, 83)(73, 79)(87, 89)(91, 94)(92, 98)(93, 100)(95, 106)(96, 110)(97, 112)(99, 119)(101, 123)(102, 118)(103, 127)(104, 122)(105, 121)(107, 136)(108, 139)(109, 128)(111, 147)(113, 149)(114, 146)(115, 153)(116, 148)(117, 157)(120, 137)(124, 126)(125, 156)(129, 166)(130, 164)(131, 160)(132, 163)(133, 158)(134, 162)(135, 138)(140, 165)(141, 167)(142, 171)(143, 161)(144, 172)(145, 177)(150, 152)(151, 176)(154, 179)(155, 178)(159, 168)(169, 175)(170, 180)(173, 174)
	local type(s) :: { ( 6^30 ) }
Outer automorphisms :: reflexible
Dual of E28.2148
Transitivity :: VT+ AT
Graph:: bipartite
	v = 6 e = 90 f = 30
	degree seq :: [ 30^6 ]

E28.2148 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 15})
Quotient :: halfedge^2
Aut^+ = C3 x D30 (small group id <90, 7>)
Aut   = S3 x D30 (small group id <180, 29>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^3, R * Y3 * R * Y2, (R * Y1)^2, Y2 * Y3 * Y1 * Y3 * Y2 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1, (Y2 * Y3)^5, (Y2 * Y3 * Y1^-1)^15 ]
Map:: non-degenerate
	R = (1, 92, 2, 95, 5, 91)(3, 98, 8, 100, 10, 93)(4, 101, 11, 103, 13, 94)(6, 106, 16, 108, 18, 96)(7, 109, 19, 111, 21, 97)(9, 107, 17, 115, 25, 99)(12, 110, 20, 120, 30, 102)(14, 122, 32, 123, 33, 104)(15, 124, 34, 125, 35, 105)(22, 126, 36, 134, 44, 112)(23, 127, 37, 136, 46, 113)(24, 135, 45, 138, 48, 114)(26, 129, 39, 140, 50, 116)(27, 130, 40, 141, 51, 117)(28, 131, 41, 143, 53, 118)(29, 142, 52, 145, 55, 119)(31, 133, 43, 147, 57, 121)(38, 148, 58, 150, 60, 128)(42, 151, 61, 153, 63, 132)(47, 149, 59, 157, 67, 137)(49, 155, 65, 159, 69, 139)(54, 152, 62, 162, 72, 144)(56, 161, 71, 164, 74, 146)(64, 165, 75, 171, 81, 154)(66, 170, 80, 172, 82, 156)(68, 167, 77, 174, 84, 158)(70, 168, 78, 175, 85, 160)(73, 169, 79, 176, 86, 163)(76, 177, 87, 178, 88, 166)(83, 179, 89, 180, 90, 173)
	L = (1, 3)(2, 6)(4, 12)(5, 14)(7, 20)(8, 22)(9, 24)(10, 26)(11, 28)(13, 31)(15, 30)(16, 36)(17, 38)(18, 39)(19, 41)(21, 43)(23, 45)(25, 49)(27, 48)(29, 54)(32, 44)(33, 50)(34, 53)(35, 57)(37, 58)(40, 60)(42, 62)(46, 65)(47, 66)(51, 69)(52, 70)(55, 73)(56, 72)(59, 76)(61, 78)(63, 79)(64, 80)(67, 83)(68, 82)(71, 85)(74, 86)(75, 87)(77, 88)(81, 89)(84, 90)(91, 94)(92, 97)(93, 99)(95, 105)(96, 107)(98, 113)(100, 117)(101, 112)(102, 119)(103, 116)(104, 115)(106, 127)(108, 130)(109, 126)(110, 132)(111, 129)(114, 137)(118, 142)(120, 146)(121, 145)(122, 136)(123, 141)(124, 134)(125, 140)(128, 149)(131, 151)(133, 153)(135, 154)(138, 158)(139, 157)(143, 161)(144, 156)(147, 164)(148, 165)(150, 167)(152, 166)(155, 171)(159, 174)(160, 170)(162, 173)(163, 172)(168, 177)(169, 178)(175, 179)(176, 180)
	local type(s) :: { ( 30^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2147
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 30 e = 90 f = 6
	degree seq :: [ 6^30 ]

E28.2149 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 15})
Quotient :: edge^2
Aut^+ = C3 x D30 (small group id <90, 7>)
Aut   = S3 x D30 (small group id <180, 29>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, Y1 * Y3 * Y1 * Y2 * Y3^-1 * Y2, Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2, (Y2 * Y1)^5, Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3 * Y2 ]
Map::
	R = (1, 91, 4, 94, 5, 95)(2, 92, 7, 97, 8, 98)(3, 93, 10, 100, 11, 101)(6, 96, 17, 107, 18, 108)(9, 99, 24, 114, 25, 115)(12, 102, 28, 118, 29, 119)(13, 103, 30, 120, 31, 121)(14, 104, 32, 122, 33, 123)(15, 105, 34, 124, 35, 125)(16, 106, 37, 127, 38, 128)(19, 109, 41, 131, 42, 132)(20, 110, 43, 133, 44, 134)(21, 111, 45, 135, 46, 136)(22, 112, 47, 137, 48, 138)(23, 113, 50, 140, 51, 141)(26, 116, 54, 144, 55, 145)(27, 117, 56, 146, 57, 147)(36, 126, 59, 149, 60, 150)(39, 129, 63, 153, 64, 154)(40, 130, 65, 155, 66, 156)(49, 139, 67, 157, 68, 158)(52, 142, 71, 161, 72, 162)(53, 143, 73, 163, 74, 164)(58, 148, 75, 165, 76, 166)(61, 151, 79, 169, 80, 170)(62, 152, 81, 171, 82, 172)(69, 159, 83, 173, 84, 174)(70, 160, 85, 175, 86, 176)(77, 167, 87, 177, 88, 178)(78, 168, 89, 179, 90, 180)(181, 182)(183, 189)(184, 192)(185, 194)(186, 196)(187, 199)(188, 201)(190, 206)(191, 207)(193, 204)(195, 205)(197, 219)(198, 220)(200, 217)(202, 218)(203, 229)(208, 221)(209, 225)(210, 234)(211, 236)(212, 222)(213, 226)(214, 235)(215, 237)(216, 238)(223, 243)(224, 245)(227, 244)(228, 246)(230, 249)(231, 250)(232, 247)(233, 248)(239, 257)(240, 258)(241, 255)(242, 256)(251, 263)(252, 265)(253, 264)(254, 266)(259, 267)(260, 269)(261, 268)(262, 270)(271, 273)(272, 276)(274, 283)(275, 285)(277, 290)(278, 292)(279, 293)(280, 289)(281, 291)(282, 287)(284, 288)(286, 306)(294, 322)(295, 323)(296, 320)(297, 321)(298, 313)(299, 317)(300, 311)(301, 315)(302, 314)(303, 318)(304, 312)(305, 316)(307, 331)(308, 332)(309, 329)(310, 330)(319, 328)(324, 341)(325, 343)(326, 342)(327, 344)(333, 349)(334, 351)(335, 350)(336, 352)(337, 347)(338, 348)(339, 345)(340, 346)(353, 357)(354, 359)(355, 358)(356, 360)
	L = (1, 181)(2, 182)(3, 183)(4, 184)(5, 185)(6, 186)(7, 187)(8, 188)(9, 189)(10, 190)(11, 191)(12, 192)(13, 193)(14, 194)(15, 195)(16, 196)(17, 197)(18, 198)(19, 199)(20, 200)(21, 201)(22, 202)(23, 203)(24, 204)(25, 205)(26, 206)(27, 207)(28, 208)(29, 209)(30, 210)(31, 211)(32, 212)(33, 213)(34, 214)(35, 215)(36, 216)(37, 217)(38, 218)(39, 219)(40, 220)(41, 221)(42, 222)(43, 223)(44, 224)(45, 225)(46, 226)(47, 227)(48, 228)(49, 229)(50, 230)(51, 231)(52, 232)(53, 233)(54, 234)(55, 235)(56, 236)(57, 237)(58, 238)(59, 239)(60, 240)(61, 241)(62, 242)(63, 243)(64, 244)(65, 245)(66, 246)(67, 247)(68, 248)(69, 249)(70, 250)(71, 251)(72, 252)(73, 253)(74, 254)(75, 255)(76, 256)(77, 257)(78, 258)(79, 259)(80, 260)(81, 261)(82, 262)(83, 263)(84, 264)(85, 265)(86, 266)(87, 267)(88, 268)(89, 269)(90, 270)(91, 271)(92, 272)(93, 273)(94, 274)(95, 275)(96, 276)(97, 277)(98, 278)(99, 279)(100, 280)(101, 281)(102, 282)(103, 283)(104, 284)(105, 285)(106, 286)(107, 287)(108, 288)(109, 289)(110, 290)(111, 291)(112, 292)(113, 293)(114, 294)(115, 295)(116, 296)(117, 297)(118, 298)(119, 299)(120, 300)(121, 301)(122, 302)(123, 303)(124, 304)(125, 305)(126, 306)(127, 307)(128, 308)(129, 309)(130, 310)(131, 311)(132, 312)(133, 313)(134, 314)(135, 315)(136, 316)(137, 317)(138, 318)(139, 319)(140, 320)(141, 321)(142, 322)(143, 323)(144, 324)(145, 325)(146, 326)(147, 327)(148, 328)(149, 329)(150, 330)(151, 331)(152, 332)(153, 333)(154, 334)(155, 335)(156, 336)(157, 337)(158, 338)(159, 339)(160, 340)(161, 341)(162, 342)(163, 343)(164, 344)(165, 345)(166, 346)(167, 347)(168, 348)(169, 349)(170, 350)(171, 351)(172, 352)(173, 353)(174, 354)(175, 355)(176, 356)(177, 357)(178, 358)(179, 359)(180, 360)
	local type(s) :: { ( 60, 60 ), ( 60^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2152
Graph:: simple bipartite
	v = 120 e = 180 f = 6
	degree seq :: [ 2^90, 6^30 ]

E28.2150 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 15})
Quotient :: edge^2
Aut^+ = C3 x D30 (small group id <90, 7>)
Aut   = S3 x D30 (small group id <180, 29>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y1 * Y3^-1 * Y1 * Y2 * Y3 * Y2, Y2 * Y3^-1 * Y1 * Y2 * Y3^-2 * Y1, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2, Y3^-1 * Y2 * Y3^3 * Y1 * Y3^-2, Y1 * Y2 * Y1 * Y3^-2 * Y2 * Y1 * Y3^-1 * Y2, Y3^15 ]
Map::
	R = (1, 91, 4, 94, 14, 104, 40, 130, 65, 155, 29, 119, 9, 99, 28, 118, 20, 110, 6, 96, 19, 109, 50, 140, 47, 137, 17, 107, 5, 95)(2, 92, 7, 97, 23, 113, 27, 117, 63, 153, 48, 138, 18, 108, 33, 123, 11, 101, 3, 93, 10, 100, 31, 121, 62, 152, 26, 116, 8, 98)(12, 102, 34, 124, 71, 161, 45, 135, 80, 170, 81, 171, 49, 139, 74, 164, 37, 127, 13, 103, 36, 126, 73, 163, 46, 136, 72, 162, 35, 125)(15, 105, 41, 131, 79, 169, 64, 154, 89, 179, 78, 168, 39, 129, 77, 167, 44, 134, 16, 106, 43, 133, 76, 166, 38, 128, 75, 165, 42, 132)(21, 111, 51, 141, 82, 172, 60, 150, 88, 178, 67, 157, 30, 120, 66, 156, 54, 144, 22, 112, 53, 143, 84, 174, 61, 151, 83, 173, 52, 142)(24, 114, 56, 146, 87, 177, 68, 158, 90, 180, 70, 160, 32, 122, 69, 159, 59, 149, 25, 115, 58, 148, 86, 176, 55, 145, 85, 175, 57, 147)(181, 182)(183, 189)(184, 192)(185, 195)(186, 198)(187, 201)(188, 204)(190, 210)(191, 212)(193, 208)(194, 218)(196, 209)(197, 225)(199, 229)(200, 219)(202, 213)(203, 235)(205, 228)(206, 240)(207, 227)(211, 248)(214, 231)(215, 236)(216, 246)(217, 249)(220, 242)(221, 232)(222, 237)(223, 247)(224, 250)(226, 245)(230, 244)(233, 254)(234, 257)(238, 261)(239, 258)(241, 243)(251, 265)(252, 268)(253, 270)(255, 262)(256, 267)(259, 266)(260, 263)(264, 269)(271, 273)(272, 276)(274, 283)(275, 286)(277, 292)(278, 295)(279, 297)(280, 291)(281, 294)(282, 289)(284, 309)(285, 290)(287, 316)(288, 310)(293, 302)(296, 331)(298, 315)(299, 334)(300, 333)(301, 325)(303, 330)(304, 323)(305, 328)(306, 321)(307, 326)(308, 320)(311, 324)(312, 329)(313, 322)(314, 327)(317, 332)(318, 338)(319, 335)(336, 350)(337, 359)(339, 341)(340, 349)(342, 353)(343, 355)(344, 358)(345, 354)(346, 356)(347, 352)(348, 357)(351, 360)
	L = (1, 181)(2, 182)(3, 183)(4, 184)(5, 185)(6, 186)(7, 187)(8, 188)(9, 189)(10, 190)(11, 191)(12, 192)(13, 193)(14, 194)(15, 195)(16, 196)(17, 197)(18, 198)(19, 199)(20, 200)(21, 201)(22, 202)(23, 203)(24, 204)(25, 205)(26, 206)(27, 207)(28, 208)(29, 209)(30, 210)(31, 211)(32, 212)(33, 213)(34, 214)(35, 215)(36, 216)(37, 217)(38, 218)(39, 219)(40, 220)(41, 221)(42, 222)(43, 223)(44, 224)(45, 225)(46, 226)(47, 227)(48, 228)(49, 229)(50, 230)(51, 231)(52, 232)(53, 233)(54, 234)(55, 235)(56, 236)(57, 237)(58, 238)(59, 239)(60, 240)(61, 241)(62, 242)(63, 243)(64, 244)(65, 245)(66, 246)(67, 247)(68, 248)(69, 249)(70, 250)(71, 251)(72, 252)(73, 253)(74, 254)(75, 255)(76, 256)(77, 257)(78, 258)(79, 259)(80, 260)(81, 261)(82, 262)(83, 263)(84, 264)(85, 265)(86, 266)(87, 267)(88, 268)(89, 269)(90, 270)(91, 271)(92, 272)(93, 273)(94, 274)(95, 275)(96, 276)(97, 277)(98, 278)(99, 279)(100, 280)(101, 281)(102, 282)(103, 283)(104, 284)(105, 285)(106, 286)(107, 287)(108, 288)(109, 289)(110, 290)(111, 291)(112, 292)(113, 293)(114, 294)(115, 295)(116, 296)(117, 297)(118, 298)(119, 299)(120, 300)(121, 301)(122, 302)(123, 303)(124, 304)(125, 305)(126, 306)(127, 307)(128, 308)(129, 309)(130, 310)(131, 311)(132, 312)(133, 313)(134, 314)(135, 315)(136, 316)(137, 317)(138, 318)(139, 319)(140, 320)(141, 321)(142, 322)(143, 323)(144, 324)(145, 325)(146, 326)(147, 327)(148, 328)(149, 329)(150, 330)(151, 331)(152, 332)(153, 333)(154, 334)(155, 335)(156, 336)(157, 337)(158, 338)(159, 339)(160, 340)(161, 341)(162, 342)(163, 343)(164, 344)(165, 345)(166, 346)(167, 347)(168, 348)(169, 349)(170, 350)(171, 351)(172, 352)(173, 353)(174, 354)(175, 355)(176, 356)(177, 357)(178, 358)(179, 359)(180, 360)
	local type(s) :: { ( 12, 12 ), ( 12^30 ) }
Outer automorphisms :: reflexible
Dual of E28.2151
Graph:: simple bipartite
	v = 96 e = 180 f = 30
	degree seq :: [ 2^90, 30^6 ]

E28.2151 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 15})
Quotient :: loop^2
Aut^+ = C3 x D30 (small group id <90, 7>)
Aut   = S3 x D30 (small group id <180, 29>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, Y1 * Y3 * Y1 * Y2 * Y3^-1 * Y2, Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2, (Y2 * Y1)^5, Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3 * Y2 ]
Map::
	R = (1, 91, 181, 271, 4, 94, 184, 274, 5, 95, 185, 275)(2, 92, 182, 272, 7, 97, 187, 277, 8, 98, 188, 278)(3, 93, 183, 273, 10, 100, 190, 280, 11, 101, 191, 281)(6, 96, 186, 276, 17, 107, 197, 287, 18, 108, 198, 288)(9, 99, 189, 279, 24, 114, 204, 294, 25, 115, 205, 295)(12, 102, 192, 282, 28, 118, 208, 298, 29, 119, 209, 299)(13, 103, 193, 283, 30, 120, 210, 300, 31, 121, 211, 301)(14, 104, 194, 284, 32, 122, 212, 302, 33, 123, 213, 303)(15, 105, 195, 285, 34, 124, 214, 304, 35, 125, 215, 305)(16, 106, 196, 286, 37, 127, 217, 307, 38, 128, 218, 308)(19, 109, 199, 289, 41, 131, 221, 311, 42, 132, 222, 312)(20, 110, 200, 290, 43, 133, 223, 313, 44, 134, 224, 314)(21, 111, 201, 291, 45, 135, 225, 315, 46, 136, 226, 316)(22, 112, 202, 292, 47, 137, 227, 317, 48, 138, 228, 318)(23, 113, 203, 293, 50, 140, 230, 320, 51, 141, 231, 321)(26, 116, 206, 296, 54, 144, 234, 324, 55, 145, 235, 325)(27, 117, 207, 297, 56, 146, 236, 326, 57, 147, 237, 327)(36, 126, 216, 306, 59, 149, 239, 329, 60, 150, 240, 330)(39, 129, 219, 309, 63, 153, 243, 333, 64, 154, 244, 334)(40, 130, 220, 310, 65, 155, 245, 335, 66, 156, 246, 336)(49, 139, 229, 319, 67, 157, 247, 337, 68, 158, 248, 338)(52, 142, 232, 322, 71, 161, 251, 341, 72, 162, 252, 342)(53, 143, 233, 323, 73, 163, 253, 343, 74, 164, 254, 344)(58, 148, 238, 328, 75, 165, 255, 345, 76, 166, 256, 346)(61, 151, 241, 331, 79, 169, 259, 349, 80, 170, 260, 350)(62, 152, 242, 332, 81, 171, 261, 351, 82, 172, 262, 352)(69, 159, 249, 339, 83, 173, 263, 353, 84, 174, 264, 354)(70, 160, 250, 340, 85, 175, 265, 355, 86, 176, 266, 356)(77, 167, 257, 347, 87, 177, 267, 357, 88, 178, 268, 358)(78, 168, 258, 348, 89, 179, 269, 359, 90, 180, 270, 360)
	L = (1, 92)(2, 91)(3, 99)(4, 102)(5, 104)(6, 106)(7, 109)(8, 111)(9, 93)(10, 116)(11, 117)(12, 94)(13, 114)(14, 95)(15, 115)(16, 96)(17, 129)(18, 130)(19, 97)(20, 127)(21, 98)(22, 128)(23, 139)(24, 103)(25, 105)(26, 100)(27, 101)(28, 131)(29, 135)(30, 144)(31, 146)(32, 132)(33, 136)(34, 145)(35, 147)(36, 148)(37, 110)(38, 112)(39, 107)(40, 108)(41, 118)(42, 122)(43, 153)(44, 155)(45, 119)(46, 123)(47, 154)(48, 156)(49, 113)(50, 159)(51, 160)(52, 157)(53, 158)(54, 120)(55, 124)(56, 121)(57, 125)(58, 126)(59, 167)(60, 168)(61, 165)(62, 166)(63, 133)(64, 137)(65, 134)(66, 138)(67, 142)(68, 143)(69, 140)(70, 141)(71, 173)(72, 175)(73, 174)(74, 176)(75, 151)(76, 152)(77, 149)(78, 150)(79, 177)(80, 179)(81, 178)(82, 180)(83, 161)(84, 163)(85, 162)(86, 164)(87, 169)(88, 171)(89, 170)(90, 172)(181, 273)(182, 276)(183, 271)(184, 283)(185, 285)(186, 272)(187, 290)(188, 292)(189, 293)(190, 289)(191, 291)(192, 287)(193, 274)(194, 288)(195, 275)(196, 306)(197, 282)(198, 284)(199, 280)(200, 277)(201, 281)(202, 278)(203, 279)(204, 322)(205, 323)(206, 320)(207, 321)(208, 313)(209, 317)(210, 311)(211, 315)(212, 314)(213, 318)(214, 312)(215, 316)(216, 286)(217, 331)(218, 332)(219, 329)(220, 330)(221, 300)(222, 304)(223, 298)(224, 302)(225, 301)(226, 305)(227, 299)(228, 303)(229, 328)(230, 296)(231, 297)(232, 294)(233, 295)(234, 341)(235, 343)(236, 342)(237, 344)(238, 319)(239, 309)(240, 310)(241, 307)(242, 308)(243, 349)(244, 351)(245, 350)(246, 352)(247, 347)(248, 348)(249, 345)(250, 346)(251, 324)(252, 326)(253, 325)(254, 327)(255, 339)(256, 340)(257, 337)(258, 338)(259, 333)(260, 335)(261, 334)(262, 336)(263, 357)(264, 359)(265, 358)(266, 360)(267, 353)(268, 355)(269, 354)(270, 356)
	local type(s) :: { ( 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30 ) }
Outer automorphisms :: reflexible
Dual of E28.2150
Transitivity :: VT+
Graph:: bipartite
	v = 30 e = 180 f = 96
	degree seq :: [ 12^30 ]

E28.2152 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 15})
Quotient :: loop^2
Aut^+ = C3 x D30 (small group id <90, 7>)
Aut   = S3 x D30 (small group id <180, 29>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y1 * Y3^-1 * Y1 * Y2 * Y3 * Y2, Y2 * Y3^-1 * Y1 * Y2 * Y3^-2 * Y1, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2, Y3^-1 * Y2 * Y3^3 * Y1 * Y3^-2, Y1 * Y2 * Y1 * Y3^-2 * Y2 * Y1 * Y3^-1 * Y2, Y3^15 ]
Map::
	R = (1, 91, 181, 271, 4, 94, 184, 274, 14, 104, 194, 284, 40, 130, 220, 310, 65, 155, 245, 335, 29, 119, 209, 299, 9, 99, 189, 279, 28, 118, 208, 298, 20, 110, 200, 290, 6, 96, 186, 276, 19, 109, 199, 289, 50, 140, 230, 320, 47, 137, 227, 317, 17, 107, 197, 287, 5, 95, 185, 275)(2, 92, 182, 272, 7, 97, 187, 277, 23, 113, 203, 293, 27, 117, 207, 297, 63, 153, 243, 333, 48, 138, 228, 318, 18, 108, 198, 288, 33, 123, 213, 303, 11, 101, 191, 281, 3, 93, 183, 273, 10, 100, 190, 280, 31, 121, 211, 301, 62, 152, 242, 332, 26, 116, 206, 296, 8, 98, 188, 278)(12, 102, 192, 282, 34, 124, 214, 304, 71, 161, 251, 341, 45, 135, 225, 315, 80, 170, 260, 350, 81, 171, 261, 351, 49, 139, 229, 319, 74, 164, 254, 344, 37, 127, 217, 307, 13, 103, 193, 283, 36, 126, 216, 306, 73, 163, 253, 343, 46, 136, 226, 316, 72, 162, 252, 342, 35, 125, 215, 305)(15, 105, 195, 285, 41, 131, 221, 311, 79, 169, 259, 349, 64, 154, 244, 334, 89, 179, 269, 359, 78, 168, 258, 348, 39, 129, 219, 309, 77, 167, 257, 347, 44, 134, 224, 314, 16, 106, 196, 286, 43, 133, 223, 313, 76, 166, 256, 346, 38, 128, 218, 308, 75, 165, 255, 345, 42, 132, 222, 312)(21, 111, 201, 291, 51, 141, 231, 321, 82, 172, 262, 352, 60, 150, 240, 330, 88, 178, 268, 358, 67, 157, 247, 337, 30, 120, 210, 300, 66, 156, 246, 336, 54, 144, 234, 324, 22, 112, 202, 292, 53, 143, 233, 323, 84, 174, 264, 354, 61, 151, 241, 331, 83, 173, 263, 353, 52, 142, 232, 322)(24, 114, 204, 294, 56, 146, 236, 326, 87, 177, 267, 357, 68, 158, 248, 338, 90, 180, 270, 360, 70, 160, 250, 340, 32, 122, 212, 302, 69, 159, 249, 339, 59, 149, 239, 329, 25, 115, 205, 295, 58, 148, 238, 328, 86, 176, 266, 356, 55, 145, 235, 325, 85, 175, 265, 355, 57, 147, 237, 327)
	L = (1, 92)(2, 91)(3, 99)(4, 102)(5, 105)(6, 108)(7, 111)(8, 114)(9, 93)(10, 120)(11, 122)(12, 94)(13, 118)(14, 128)(15, 95)(16, 119)(17, 135)(18, 96)(19, 139)(20, 129)(21, 97)(22, 123)(23, 145)(24, 98)(25, 138)(26, 150)(27, 137)(28, 103)(29, 106)(30, 100)(31, 158)(32, 101)(33, 112)(34, 141)(35, 146)(36, 156)(37, 159)(38, 104)(39, 110)(40, 152)(41, 142)(42, 147)(43, 157)(44, 160)(45, 107)(46, 155)(47, 117)(48, 115)(49, 109)(50, 154)(51, 124)(52, 131)(53, 164)(54, 167)(55, 113)(56, 125)(57, 132)(58, 171)(59, 168)(60, 116)(61, 153)(62, 130)(63, 151)(64, 140)(65, 136)(66, 126)(67, 133)(68, 121)(69, 127)(70, 134)(71, 175)(72, 178)(73, 180)(74, 143)(75, 172)(76, 177)(77, 144)(78, 149)(79, 176)(80, 173)(81, 148)(82, 165)(83, 170)(84, 179)(85, 161)(86, 169)(87, 166)(88, 162)(89, 174)(90, 163)(181, 273)(182, 276)(183, 271)(184, 283)(185, 286)(186, 272)(187, 292)(188, 295)(189, 297)(190, 291)(191, 294)(192, 289)(193, 274)(194, 309)(195, 290)(196, 275)(197, 316)(198, 310)(199, 282)(200, 285)(201, 280)(202, 277)(203, 302)(204, 281)(205, 278)(206, 331)(207, 279)(208, 315)(209, 334)(210, 333)(211, 325)(212, 293)(213, 330)(214, 323)(215, 328)(216, 321)(217, 326)(218, 320)(219, 284)(220, 288)(221, 324)(222, 329)(223, 322)(224, 327)(225, 298)(226, 287)(227, 332)(228, 338)(229, 335)(230, 308)(231, 306)(232, 313)(233, 304)(234, 311)(235, 301)(236, 307)(237, 314)(238, 305)(239, 312)(240, 303)(241, 296)(242, 317)(243, 300)(244, 299)(245, 319)(246, 350)(247, 359)(248, 318)(249, 341)(250, 349)(251, 339)(252, 353)(253, 355)(254, 358)(255, 354)(256, 356)(257, 352)(258, 357)(259, 340)(260, 336)(261, 360)(262, 347)(263, 342)(264, 345)(265, 343)(266, 346)(267, 348)(268, 344)(269, 337)(270, 351)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2149
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 180 f = 120
	degree seq :: [ 60^6 ]

E28.2153 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 15})
Quotient :: dipole
Aut^+ = C3 x D30 (small group id <90, 7>)
Aut   = S3 x D30 (small group id <180, 29>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (Y3, Y2^-1), (R * Y2)^2, Y2^-1 * Y1 * Y2 * Y1, Y3^15 ]
Map:: polytopal non-degenerate
	R = (1, 91, 2, 92)(3, 93, 7, 97)(4, 94, 10, 100)(5, 95, 9, 99)(6, 96, 8, 98)(11, 101, 18, 108)(12, 102, 17, 107)(13, 103, 22, 112)(14, 104, 21, 111)(15, 105, 20, 110)(16, 106, 19, 109)(23, 113, 30, 120)(24, 114, 29, 119)(25, 115, 34, 124)(26, 116, 33, 123)(27, 117, 32, 122)(28, 118, 31, 121)(35, 125, 42, 132)(36, 126, 41, 131)(37, 127, 46, 136)(38, 128, 45, 135)(39, 129, 44, 134)(40, 130, 43, 133)(47, 137, 54, 144)(48, 138, 53, 143)(49, 139, 58, 148)(50, 140, 57, 147)(51, 141, 56, 146)(52, 142, 55, 145)(59, 149, 66, 156)(60, 150, 65, 155)(61, 151, 70, 160)(62, 152, 69, 159)(63, 153, 68, 158)(64, 154, 67, 157)(71, 161, 78, 168)(72, 162, 77, 167)(73, 163, 82, 172)(74, 164, 81, 171)(75, 165, 80, 170)(76, 166, 79, 169)(83, 173, 88, 178)(84, 174, 87, 177)(85, 175, 90, 180)(86, 176, 89, 179)(181, 271, 183, 273, 185, 275)(182, 272, 187, 277, 189, 279)(184, 274, 191, 281, 194, 284)(186, 276, 192, 282, 195, 285)(188, 278, 197, 287, 200, 290)(190, 280, 198, 288, 201, 291)(193, 283, 203, 293, 206, 296)(196, 286, 204, 294, 207, 297)(199, 289, 209, 299, 212, 302)(202, 292, 210, 300, 213, 303)(205, 295, 215, 305, 218, 308)(208, 298, 216, 306, 219, 309)(211, 301, 221, 311, 224, 314)(214, 304, 222, 312, 225, 315)(217, 307, 227, 317, 230, 320)(220, 310, 228, 318, 231, 321)(223, 313, 233, 323, 236, 326)(226, 316, 234, 324, 237, 327)(229, 319, 239, 329, 242, 332)(232, 322, 240, 330, 243, 333)(235, 325, 245, 335, 248, 338)(238, 328, 246, 336, 249, 339)(241, 331, 251, 341, 254, 344)(244, 334, 252, 342, 255, 345)(247, 337, 257, 347, 260, 350)(250, 340, 258, 348, 261, 351)(253, 343, 263, 353, 265, 355)(256, 346, 264, 354, 266, 356)(259, 349, 267, 357, 269, 359)(262, 352, 268, 358, 270, 360)
	L = (1, 184)(2, 188)(3, 191)(4, 193)(5, 194)(6, 181)(7, 197)(8, 199)(9, 200)(10, 182)(11, 203)(12, 183)(13, 205)(14, 206)(15, 185)(16, 186)(17, 209)(18, 187)(19, 211)(20, 212)(21, 189)(22, 190)(23, 215)(24, 192)(25, 217)(26, 218)(27, 195)(28, 196)(29, 221)(30, 198)(31, 223)(32, 224)(33, 201)(34, 202)(35, 227)(36, 204)(37, 229)(38, 230)(39, 207)(40, 208)(41, 233)(42, 210)(43, 235)(44, 236)(45, 213)(46, 214)(47, 239)(48, 216)(49, 241)(50, 242)(51, 219)(52, 220)(53, 245)(54, 222)(55, 247)(56, 248)(57, 225)(58, 226)(59, 251)(60, 228)(61, 253)(62, 254)(63, 231)(64, 232)(65, 257)(66, 234)(67, 259)(68, 260)(69, 237)(70, 238)(71, 263)(72, 240)(73, 256)(74, 265)(75, 243)(76, 244)(77, 267)(78, 246)(79, 262)(80, 269)(81, 249)(82, 250)(83, 264)(84, 252)(85, 266)(86, 255)(87, 268)(88, 258)(89, 270)(90, 261)(91, 271)(92, 272)(93, 273)(94, 274)(95, 275)(96, 276)(97, 277)(98, 278)(99, 279)(100, 280)(101, 281)(102, 282)(103, 283)(104, 284)(105, 285)(106, 286)(107, 287)(108, 288)(109, 289)(110, 290)(111, 291)(112, 292)(113, 293)(114, 294)(115, 295)(116, 296)(117, 297)(118, 298)(119, 299)(120, 300)(121, 301)(122, 302)(123, 303)(124, 304)(125, 305)(126, 306)(127, 307)(128, 308)(129, 309)(130, 310)(131, 311)(132, 312)(133, 313)(134, 314)(135, 315)(136, 316)(137, 317)(138, 318)(139, 319)(140, 320)(141, 321)(142, 322)(143, 323)(144, 324)(145, 325)(146, 326)(147, 327)(148, 328)(149, 329)(150, 330)(151, 331)(152, 332)(153, 333)(154, 334)(155, 335)(156, 336)(157, 337)(158, 338)(159, 339)(160, 340)(161, 341)(162, 342)(163, 343)(164, 344)(165, 345)(166, 346)(167, 347)(168, 348)(169, 349)(170, 350)(171, 351)(172, 352)(173, 353)(174, 354)(175, 355)(176, 356)(177, 357)(178, 358)(179, 359)(180, 360)
	local type(s) :: { ( 4, 30, 4, 30 ), ( 4, 30, 4, 30, 4, 30 ) }
Outer automorphisms :: reflexible
Dual of E28.2159
Graph:: simple bipartite
	v = 75 e = 180 f = 51
	degree seq :: [ 4^45, 6^30 ]

E28.2154 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 15})
Quotient :: dipole
Aut^+ = C3 x D30 (small group id <90, 7>)
Aut   = S3 x D30 (small group id <180, 29>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (Y2, Y3^-1), (R * Y2)^2, Y3^5, Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 91, 2, 92)(3, 93, 11, 101)(4, 94, 10, 100)(5, 95, 16, 106)(6, 96, 8, 98)(7, 97, 19, 109)(9, 99, 24, 114)(12, 102, 30, 120)(13, 103, 28, 118)(14, 104, 26, 116)(15, 105, 34, 124)(17, 107, 36, 126)(18, 108, 22, 112)(20, 110, 42, 132)(21, 111, 40, 130)(23, 113, 46, 136)(25, 115, 48, 138)(27, 117, 39, 129)(29, 119, 47, 137)(31, 121, 56, 146)(32, 122, 53, 143)(33, 123, 57, 147)(35, 125, 41, 131)(37, 127, 49, 139)(38, 128, 61, 151)(43, 133, 68, 158)(44, 134, 65, 155)(45, 135, 69, 159)(50, 140, 73, 163)(51, 141, 64, 154)(52, 142, 63, 153)(54, 144, 70, 160)(55, 145, 72, 162)(58, 148, 66, 156)(59, 149, 74, 164)(60, 150, 67, 157)(62, 152, 71, 161)(75, 165, 84, 174)(76, 166, 83, 173)(77, 167, 87, 177)(78, 168, 89, 179)(79, 169, 85, 175)(80, 170, 90, 180)(81, 171, 86, 176)(82, 172, 88, 178)(181, 271, 183, 273, 185, 275)(182, 272, 187, 277, 189, 279)(184, 274, 192, 282, 195, 285)(186, 276, 193, 283, 197, 287)(188, 278, 200, 290, 203, 293)(190, 280, 201, 291, 205, 295)(191, 281, 207, 297, 209, 299)(194, 284, 211, 301, 213, 303)(196, 286, 215, 305, 217, 307)(198, 288, 212, 302, 218, 308)(199, 289, 219, 309, 221, 311)(202, 292, 223, 313, 225, 315)(204, 294, 227, 317, 229, 319)(206, 296, 224, 314, 230, 320)(208, 298, 231, 321, 234, 324)(210, 300, 232, 322, 235, 325)(214, 304, 238, 328, 239, 329)(216, 306, 240, 330, 242, 332)(220, 310, 243, 333, 246, 336)(222, 312, 244, 334, 247, 337)(226, 316, 250, 340, 251, 341)(228, 318, 252, 342, 254, 344)(233, 323, 255, 345, 257, 347)(236, 326, 256, 346, 258, 348)(237, 327, 259, 349, 260, 350)(241, 331, 261, 351, 262, 352)(245, 335, 263, 353, 265, 355)(248, 338, 264, 354, 266, 356)(249, 339, 267, 357, 268, 358)(253, 343, 269, 359, 270, 360)
	L = (1, 184)(2, 188)(3, 192)(4, 194)(5, 195)(6, 181)(7, 200)(8, 202)(9, 203)(10, 182)(11, 208)(12, 211)(13, 183)(14, 198)(15, 213)(16, 216)(17, 185)(18, 186)(19, 220)(20, 223)(21, 187)(22, 206)(23, 225)(24, 228)(25, 189)(26, 190)(27, 231)(28, 233)(29, 234)(30, 191)(31, 212)(32, 193)(33, 218)(34, 196)(35, 240)(36, 241)(37, 242)(38, 197)(39, 243)(40, 245)(41, 246)(42, 199)(43, 224)(44, 201)(45, 230)(46, 204)(47, 252)(48, 253)(49, 254)(50, 205)(51, 255)(52, 207)(53, 236)(54, 257)(55, 209)(56, 210)(57, 214)(58, 215)(59, 217)(60, 261)(61, 237)(62, 262)(63, 263)(64, 219)(65, 248)(66, 265)(67, 221)(68, 222)(69, 226)(70, 227)(71, 229)(72, 269)(73, 249)(74, 270)(75, 256)(76, 232)(77, 258)(78, 235)(79, 238)(80, 239)(81, 259)(82, 260)(83, 264)(84, 244)(85, 266)(86, 247)(87, 250)(88, 251)(89, 267)(90, 268)(91, 271)(92, 272)(93, 273)(94, 274)(95, 275)(96, 276)(97, 277)(98, 278)(99, 279)(100, 280)(101, 281)(102, 282)(103, 283)(104, 284)(105, 285)(106, 286)(107, 287)(108, 288)(109, 289)(110, 290)(111, 291)(112, 292)(113, 293)(114, 294)(115, 295)(116, 296)(117, 297)(118, 298)(119, 299)(120, 300)(121, 301)(122, 302)(123, 303)(124, 304)(125, 305)(126, 306)(127, 307)(128, 308)(129, 309)(130, 310)(131, 311)(132, 312)(133, 313)(134, 314)(135, 315)(136, 316)(137, 317)(138, 318)(139, 319)(140, 320)(141, 321)(142, 322)(143, 323)(144, 324)(145, 325)(146, 326)(147, 327)(148, 328)(149, 329)(150, 330)(151, 331)(152, 332)(153, 333)(154, 334)(155, 335)(156, 336)(157, 337)(158, 338)(159, 339)(160, 340)(161, 341)(162, 342)(163, 343)(164, 344)(165, 345)(166, 346)(167, 347)(168, 348)(169, 349)(170, 350)(171, 351)(172, 352)(173, 353)(174, 354)(175, 355)(176, 356)(177, 357)(178, 358)(179, 359)(180, 360)
	local type(s) :: { ( 4, 30, 4, 30 ), ( 4, 30, 4, 30, 4, 30 ) }
Outer automorphisms :: reflexible
Dual of E28.2157
Graph:: simple bipartite
	v = 75 e = 180 f = 51
	degree seq :: [ 4^45, 6^30 ]

E28.2155 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 15})
Quotient :: dipole
Aut^+ = C3 x D30 (small group id <90, 7>)
Aut   = S3 x D30 (small group id <180, 29>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (Y2, Y3^-1), (R * Y2)^2, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, Y1 * Y2 * Y3^-1 * Y1 * Y3^4 * Y2^-1, Y1 * Y2 * Y3^-1 * Y1 * Y2^-1 * Y3^4, Y3^15 ]
Map:: polytopal non-degenerate
	R = (1, 91, 2, 92)(3, 93, 11, 101)(4, 94, 10, 100)(5, 95, 16, 106)(6, 96, 8, 98)(7, 97, 19, 109)(9, 99, 24, 114)(12, 102, 30, 120)(13, 103, 28, 118)(14, 104, 26, 116)(15, 105, 35, 125)(17, 107, 37, 127)(18, 108, 22, 112)(20, 110, 44, 134)(21, 111, 42, 132)(23, 113, 49, 139)(25, 115, 51, 141)(27, 117, 41, 131)(29, 119, 50, 140)(31, 121, 60, 150)(32, 122, 57, 147)(33, 123, 54, 144)(34, 124, 65, 155)(36, 126, 43, 133)(38, 128, 52, 142)(39, 129, 69, 159)(40, 130, 47, 137)(45, 135, 76, 166)(46, 136, 62, 152)(48, 138, 64, 154)(53, 143, 80, 170)(55, 145, 74, 164)(56, 146, 73, 163)(58, 148, 63, 153)(59, 149, 79, 169)(61, 151, 85, 175)(66, 156, 72, 162)(67, 157, 81, 171)(68, 158, 75, 165)(70, 160, 78, 168)(71, 161, 83, 173)(77, 167, 89, 179)(82, 172, 87, 177)(84, 174, 90, 180)(86, 176, 88, 178)(181, 271, 183, 273, 185, 275)(182, 272, 187, 277, 189, 279)(184, 274, 192, 282, 195, 285)(186, 276, 193, 283, 197, 287)(188, 278, 200, 290, 203, 293)(190, 280, 201, 291, 205, 295)(191, 281, 207, 297, 209, 299)(194, 284, 211, 301, 214, 304)(196, 286, 216, 306, 218, 308)(198, 288, 212, 302, 219, 309)(199, 289, 221, 311, 223, 313)(202, 292, 225, 315, 228, 318)(204, 294, 230, 320, 232, 322)(206, 296, 226, 316, 233, 323)(208, 298, 235, 325, 238, 328)(210, 300, 236, 326, 239, 329)(213, 303, 241, 331, 244, 334)(215, 305, 246, 336, 247, 337)(217, 307, 248, 338, 250, 340)(220, 310, 242, 332, 251, 341)(222, 312, 253, 343, 252, 342)(224, 314, 254, 344, 255, 345)(227, 317, 257, 347, 245, 335)(229, 319, 243, 333, 258, 348)(231, 321, 259, 349, 261, 351)(234, 324, 237, 327, 262, 352)(240, 330, 263, 353, 264, 354)(249, 339, 266, 356, 265, 355)(256, 346, 267, 357, 268, 358)(260, 350, 270, 360, 269, 359)
	L = (1, 184)(2, 188)(3, 192)(4, 194)(5, 195)(6, 181)(7, 200)(8, 202)(9, 203)(10, 182)(11, 208)(12, 211)(13, 183)(14, 213)(15, 214)(16, 217)(17, 185)(18, 186)(19, 222)(20, 225)(21, 187)(22, 227)(23, 228)(24, 231)(25, 189)(26, 190)(27, 235)(28, 237)(29, 238)(30, 191)(31, 241)(32, 193)(33, 243)(34, 244)(35, 196)(36, 248)(37, 249)(38, 250)(39, 197)(40, 198)(41, 253)(42, 242)(43, 252)(44, 199)(45, 257)(46, 201)(47, 246)(48, 245)(49, 204)(50, 259)(51, 260)(52, 261)(53, 205)(54, 206)(55, 262)(56, 207)(57, 226)(58, 234)(59, 209)(60, 210)(61, 258)(62, 212)(63, 230)(64, 229)(65, 215)(66, 216)(67, 218)(68, 266)(69, 263)(70, 265)(71, 219)(72, 220)(73, 251)(74, 221)(75, 223)(76, 224)(77, 247)(78, 232)(79, 270)(80, 267)(81, 269)(82, 233)(83, 236)(84, 239)(85, 240)(86, 264)(87, 254)(88, 255)(89, 256)(90, 268)(91, 271)(92, 272)(93, 273)(94, 274)(95, 275)(96, 276)(97, 277)(98, 278)(99, 279)(100, 280)(101, 281)(102, 282)(103, 283)(104, 284)(105, 285)(106, 286)(107, 287)(108, 288)(109, 289)(110, 290)(111, 291)(112, 292)(113, 293)(114, 294)(115, 295)(116, 296)(117, 297)(118, 298)(119, 299)(120, 300)(121, 301)(122, 302)(123, 303)(124, 304)(125, 305)(126, 306)(127, 307)(128, 308)(129, 309)(130, 310)(131, 311)(132, 312)(133, 313)(134, 314)(135, 315)(136, 316)(137, 317)(138, 318)(139, 319)(140, 320)(141, 321)(142, 322)(143, 323)(144, 324)(145, 325)(146, 326)(147, 327)(148, 328)(149, 329)(150, 330)(151, 331)(152, 332)(153, 333)(154, 334)(155, 335)(156, 336)(157, 337)(158, 338)(159, 339)(160, 340)(161, 341)(162, 342)(163, 343)(164, 344)(165, 345)(166, 346)(167, 347)(168, 348)(169, 349)(170, 350)(171, 351)(172, 352)(173, 353)(174, 354)(175, 355)(176, 356)(177, 357)(178, 358)(179, 359)(180, 360)
	local type(s) :: { ( 4, 30, 4, 30 ), ( 4, 30, 4, 30, 4, 30 ) }
Outer automorphisms :: reflexible
Dual of E28.2158
Graph:: simple bipartite
	v = 75 e = 180 f = 51
	degree seq :: [ 4^45, 6^30 ]

E28.2156 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 15})
Quotient :: dipole
Aut^+ = C3 x D30 (small group id <90, 7>)
Aut   = S3 x D30 (small group id <180, 29>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3, Y2^-1), (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, Y3^-1 * Y1 * Y3^2 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y3^-1, Y1 * Y3 * Y2 * Y3 * Y1 * Y3^-3 * Y2^-1, Y3^-1 * Y2 * Y3^-3 * Y2 * Y3^-1 * Y1 * Y2 * Y1, Y3 * Y2^-1 * Y3^2 * Y1 * Y3^-2 * Y2^-1 * Y1 * Y2^-1, Y3^15 ]
Map:: polytopal non-degenerate
	R = (1, 91, 2, 92)(3, 93, 11, 101)(4, 94, 10, 100)(5, 95, 16, 106)(6, 96, 8, 98)(7, 97, 19, 109)(9, 99, 24, 114)(12, 102, 30, 120)(13, 103, 28, 118)(14, 104, 26, 116)(15, 105, 35, 125)(17, 107, 37, 127)(18, 108, 22, 112)(20, 110, 44, 134)(21, 111, 42, 132)(23, 113, 49, 139)(25, 115, 51, 141)(27, 117, 41, 131)(29, 119, 50, 140)(31, 121, 60, 150)(32, 122, 57, 147)(33, 123, 54, 144)(34, 124, 65, 155)(36, 126, 43, 133)(38, 128, 52, 142)(39, 129, 69, 159)(40, 130, 47, 137)(45, 135, 61, 151)(46, 136, 75, 165)(48, 138, 79, 169)(53, 143, 71, 161)(55, 145, 74, 164)(56, 146, 73, 163)(58, 148, 80, 170)(59, 149, 72, 162)(62, 152, 84, 174)(63, 153, 68, 158)(64, 154, 83, 173)(66, 156, 76, 166)(67, 157, 82, 172)(70, 160, 81, 171)(77, 167, 88, 178)(78, 168, 87, 177)(85, 175, 90, 180)(86, 176, 89, 179)(181, 271, 183, 273, 185, 275)(182, 272, 187, 277, 189, 279)(184, 274, 192, 282, 195, 285)(186, 276, 193, 283, 197, 287)(188, 278, 200, 290, 203, 293)(190, 280, 201, 291, 205, 295)(191, 281, 207, 297, 209, 299)(194, 284, 211, 301, 214, 304)(196, 286, 216, 306, 218, 308)(198, 288, 212, 302, 219, 309)(199, 289, 221, 311, 223, 313)(202, 292, 225, 315, 228, 318)(204, 294, 230, 320, 232, 322)(206, 296, 226, 316, 233, 323)(208, 298, 235, 325, 238, 328)(210, 300, 236, 326, 239, 329)(213, 303, 241, 331, 244, 334)(215, 305, 246, 336, 247, 337)(217, 307, 248, 338, 250, 340)(220, 310, 242, 332, 251, 341)(222, 312, 253, 343, 256, 346)(224, 314, 254, 344, 243, 333)(227, 317, 240, 330, 258, 348)(229, 319, 260, 350, 261, 351)(231, 321, 252, 342, 262, 352)(234, 324, 257, 347, 249, 339)(237, 327, 263, 353, 265, 355)(245, 335, 266, 356, 264, 354)(255, 345, 267, 357, 269, 359)(259, 349, 270, 360, 268, 358)
	L = (1, 184)(2, 188)(3, 192)(4, 194)(5, 195)(6, 181)(7, 200)(8, 202)(9, 203)(10, 182)(11, 208)(12, 211)(13, 183)(14, 213)(15, 214)(16, 217)(17, 185)(18, 186)(19, 222)(20, 225)(21, 187)(22, 227)(23, 228)(24, 231)(25, 189)(26, 190)(27, 235)(28, 237)(29, 238)(30, 191)(31, 241)(32, 193)(33, 243)(34, 244)(35, 196)(36, 248)(37, 249)(38, 250)(39, 197)(40, 198)(41, 253)(42, 255)(43, 256)(44, 199)(45, 240)(46, 201)(47, 239)(48, 258)(49, 204)(50, 252)(51, 251)(52, 262)(53, 205)(54, 206)(55, 263)(56, 207)(57, 264)(58, 265)(59, 209)(60, 210)(61, 224)(62, 212)(63, 223)(64, 254)(65, 215)(66, 216)(67, 218)(68, 234)(69, 233)(70, 257)(71, 219)(72, 220)(73, 267)(74, 221)(75, 268)(76, 269)(77, 226)(78, 236)(79, 229)(80, 230)(81, 232)(82, 242)(83, 245)(84, 247)(85, 266)(86, 246)(87, 259)(88, 261)(89, 270)(90, 260)(91, 271)(92, 272)(93, 273)(94, 274)(95, 275)(96, 276)(97, 277)(98, 278)(99, 279)(100, 280)(101, 281)(102, 282)(103, 283)(104, 284)(105, 285)(106, 286)(107, 287)(108, 288)(109, 289)(110, 290)(111, 291)(112, 292)(113, 293)(114, 294)(115, 295)(116, 296)(117, 297)(118, 298)(119, 299)(120, 300)(121, 301)(122, 302)(123, 303)(124, 304)(125, 305)(126, 306)(127, 307)(128, 308)(129, 309)(130, 310)(131, 311)(132, 312)(133, 313)(134, 314)(135, 315)(136, 316)(137, 317)(138, 318)(139, 319)(140, 320)(141, 321)(142, 322)(143, 323)(144, 324)(145, 325)(146, 326)(147, 327)(148, 328)(149, 329)(150, 330)(151, 331)(152, 332)(153, 333)(154, 334)(155, 335)(156, 336)(157, 337)(158, 338)(159, 339)(160, 340)(161, 341)(162, 342)(163, 343)(164, 344)(165, 345)(166, 346)(167, 347)(168, 348)(169, 349)(170, 350)(171, 351)(172, 352)(173, 353)(174, 354)(175, 355)(176, 356)(177, 357)(178, 358)(179, 359)(180, 360)
	local type(s) :: { ( 4, 30, 4, 30 ), ( 4, 30, 4, 30, 4, 30 ) }
Outer automorphisms :: reflexible
Dual of E28.2160
Graph:: simple bipartite
	v = 75 e = 180 f = 51
	degree seq :: [ 4^45, 6^30 ]

E28.2157 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 15})
Quotient :: dipole
Aut^+ = C3 x D30 (small group id <90, 7>)
Aut   = S3 x D30 (small group id <180, 29>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y1^-1, Y3^-1), (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^5, Y3^-5, Y1^3 * Y3^-2, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y3^-2 * Y2 * Y3^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, (R * Y2 * Y1^-1 * Y2)^2, Y3^10 ]
Map:: non-degenerate
	R = (1, 91, 2, 92, 7, 97, 15, 105, 27, 117, 19, 109, 6, 96, 10, 100, 16, 106, 4, 94, 9, 99, 22, 112, 20, 110, 18, 108, 5, 95)(3, 93, 11, 101, 28, 118, 32, 122, 60, 150, 36, 126, 14, 104, 31, 121, 33, 123, 12, 102, 30, 120, 56, 146, 37, 127, 35, 125, 13, 103)(8, 98, 23, 113, 46, 136, 42, 132, 70, 160, 53, 143, 26, 116, 49, 139, 50, 140, 24, 114, 48, 138, 75, 165, 54, 144, 52, 142, 25, 115)(17, 107, 39, 129, 67, 157, 45, 135, 72, 162, 66, 156, 38, 128, 65, 155, 69, 159, 40, 130, 68, 158, 44, 134, 21, 111, 43, 133, 41, 131)(29, 119, 47, 137, 71, 161, 64, 154, 80, 170, 85, 175, 59, 149, 77, 167, 83, 173, 57, 147, 76, 166, 89, 179, 86, 176, 84, 174, 58, 148)(34, 124, 51, 141, 73, 163, 82, 172, 90, 180, 87, 177, 61, 151, 78, 168, 88, 178, 62, 152, 79, 169, 81, 171, 55, 145, 74, 164, 63, 153)(181, 271, 183, 273)(182, 272, 188, 278)(184, 274, 194, 284)(185, 275, 197, 287)(186, 276, 192, 282)(187, 277, 201, 291)(189, 279, 206, 296)(190, 280, 204, 294)(191, 281, 209, 299)(193, 283, 214, 304)(195, 285, 217, 307)(196, 286, 218, 308)(198, 288, 222, 312)(199, 289, 220, 310)(200, 290, 212, 302)(202, 292, 225, 315)(203, 293, 227, 317)(205, 295, 231, 321)(207, 297, 234, 324)(208, 298, 235, 325)(210, 300, 239, 329)(211, 301, 237, 327)(213, 303, 241, 331)(215, 305, 244, 334)(216, 306, 242, 332)(219, 309, 238, 328)(221, 311, 243, 333)(223, 313, 251, 341)(224, 314, 253, 343)(226, 316, 254, 344)(228, 318, 257, 347)(229, 319, 256, 346)(230, 320, 258, 348)(232, 322, 260, 350)(233, 323, 259, 349)(236, 326, 262, 352)(240, 330, 266, 356)(245, 335, 263, 353)(246, 336, 268, 358)(247, 337, 261, 351)(248, 338, 265, 355)(249, 339, 267, 357)(250, 340, 264, 354)(252, 342, 269, 359)(255, 345, 270, 360)
	L = (1, 184)(2, 189)(3, 192)(4, 195)(5, 196)(6, 181)(7, 202)(8, 204)(9, 207)(10, 182)(11, 210)(12, 212)(13, 213)(14, 183)(15, 200)(16, 187)(17, 220)(18, 190)(19, 185)(20, 186)(21, 218)(22, 199)(23, 228)(24, 222)(25, 230)(26, 188)(27, 198)(28, 236)(29, 237)(30, 240)(31, 191)(32, 217)(33, 208)(34, 242)(35, 211)(36, 193)(37, 194)(38, 197)(39, 248)(40, 225)(41, 249)(42, 234)(43, 245)(44, 246)(45, 201)(46, 255)(47, 256)(48, 250)(49, 203)(50, 226)(51, 259)(52, 229)(53, 205)(54, 206)(55, 241)(56, 216)(57, 244)(58, 263)(59, 209)(60, 215)(61, 214)(62, 262)(63, 268)(64, 266)(65, 219)(66, 221)(67, 224)(68, 252)(69, 247)(70, 232)(71, 269)(72, 223)(73, 261)(74, 258)(75, 233)(76, 260)(77, 227)(78, 231)(79, 270)(80, 264)(81, 267)(82, 235)(83, 251)(84, 257)(85, 238)(86, 239)(87, 243)(88, 253)(89, 265)(90, 254)(91, 271)(92, 272)(93, 273)(94, 274)(95, 275)(96, 276)(97, 277)(98, 278)(99, 279)(100, 280)(101, 281)(102, 282)(103, 283)(104, 284)(105, 285)(106, 286)(107, 287)(108, 288)(109, 289)(110, 290)(111, 291)(112, 292)(113, 293)(114, 294)(115, 295)(116, 296)(117, 297)(118, 298)(119, 299)(120, 300)(121, 301)(122, 302)(123, 303)(124, 304)(125, 305)(126, 306)(127, 307)(128, 308)(129, 309)(130, 310)(131, 311)(132, 312)(133, 313)(134, 314)(135, 315)(136, 316)(137, 317)(138, 318)(139, 319)(140, 320)(141, 321)(142, 322)(143, 323)(144, 324)(145, 325)(146, 326)(147, 327)(148, 328)(149, 329)(150, 330)(151, 331)(152, 332)(153, 333)(154, 334)(155, 335)(156, 336)(157, 337)(158, 338)(159, 339)(160, 340)(161, 341)(162, 342)(163, 343)(164, 344)(165, 345)(166, 346)(167, 347)(168, 348)(169, 349)(170, 350)(171, 351)(172, 352)(173, 353)(174, 354)(175, 355)(176, 356)(177, 357)(178, 358)(179, 359)(180, 360)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2154
Graph:: bipartite
	v = 51 e = 180 f = 75
	degree seq :: [ 4^45, 30^6 ]

E28.2158 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 15})
Quotient :: dipole
Aut^+ = C3 x D30 (small group id <90, 7>)
Aut   = S3 x D30 (small group id <180, 29>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y2 * Y3^-1)^2, (Y3, Y1), (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y1 * Y2 * Y1^-1 * Y3 * Y2 * Y3^-2, Y3^-1 * Y2 * R * Y1 * Y2 * Y1^-1 * R, (Y1^3 * Y2)^2, (R * Y2 * Y1^-1 * Y2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 91, 2, 92, 7, 97, 21, 111, 32, 122, 55, 145, 76, 166, 68, 158, 60, 150, 79, 169, 67, 157, 37, 127, 41, 131, 18, 108, 5, 95)(3, 93, 11, 101, 31, 121, 27, 117, 8, 98, 25, 115, 54, 144, 48, 138, 22, 112, 50, 140, 47, 137, 17, 107, 45, 135, 38, 128, 13, 103)(4, 94, 9, 99, 23, 113, 20, 110, 30, 120, 53, 143, 75, 165, 85, 175, 83, 173, 90, 180, 87, 177, 66, 156, 69, 159, 44, 134, 16, 106)(6, 96, 10, 100, 24, 114, 49, 139, 63, 153, 82, 172, 89, 179, 86, 176, 84, 174, 88, 178, 70, 160, 42, 132, 15, 105, 29, 119, 19, 109)(12, 102, 33, 123, 61, 151, 40, 130, 26, 116, 56, 146, 80, 170, 59, 149, 51, 141, 77, 167, 74, 164, 46, 136, 73, 163, 65, 155, 36, 126)(14, 104, 34, 124, 62, 152, 58, 148, 28, 118, 57, 147, 81, 171, 72, 162, 52, 142, 78, 168, 71, 161, 43, 133, 35, 125, 64, 154, 39, 129)(181, 271, 183, 273)(182, 272, 188, 278)(184, 274, 194, 284)(185, 275, 197, 287)(186, 276, 192, 282)(187, 277, 202, 292)(189, 279, 208, 298)(190, 280, 206, 296)(191, 281, 212, 302)(193, 283, 217, 307)(195, 285, 220, 310)(196, 286, 223, 313)(198, 288, 228, 318)(199, 289, 226, 316)(200, 290, 215, 305)(201, 291, 225, 315)(203, 293, 232, 322)(204, 294, 231, 321)(205, 295, 235, 325)(207, 297, 221, 311)(209, 299, 239, 329)(210, 300, 214, 304)(211, 301, 240, 330)(213, 303, 243, 333)(216, 306, 222, 312)(218, 308, 248, 338)(219, 309, 246, 336)(224, 314, 252, 342)(227, 317, 247, 337)(229, 319, 253, 343)(230, 320, 256, 346)(233, 323, 237, 327)(234, 324, 259, 349)(236, 326, 262, 352)(238, 328, 249, 339)(241, 331, 264, 354)(242, 332, 263, 353)(244, 334, 265, 355)(245, 335, 266, 356)(250, 340, 254, 344)(251, 341, 267, 357)(255, 345, 258, 348)(257, 347, 269, 359)(260, 350, 268, 358)(261, 351, 270, 360)
	L = (1, 184)(2, 189)(3, 192)(4, 195)(5, 196)(6, 181)(7, 203)(8, 206)(9, 209)(10, 182)(11, 213)(12, 215)(13, 216)(14, 183)(15, 221)(16, 222)(17, 226)(18, 224)(19, 185)(20, 186)(21, 200)(22, 231)(23, 199)(24, 187)(25, 236)(26, 214)(27, 220)(28, 188)(29, 198)(30, 190)(31, 241)(32, 210)(33, 244)(34, 191)(35, 225)(36, 223)(37, 246)(38, 245)(39, 193)(40, 194)(41, 249)(42, 217)(43, 197)(44, 250)(45, 253)(46, 232)(47, 254)(48, 239)(49, 201)(50, 257)(51, 237)(52, 202)(53, 204)(54, 260)(55, 233)(56, 242)(57, 205)(58, 207)(59, 208)(60, 263)(61, 219)(62, 211)(63, 212)(64, 218)(65, 251)(66, 264)(67, 267)(68, 265)(69, 268)(70, 247)(71, 227)(72, 228)(73, 258)(74, 252)(75, 229)(76, 255)(77, 261)(78, 230)(79, 270)(80, 238)(81, 234)(82, 235)(83, 262)(84, 240)(85, 243)(86, 248)(87, 266)(88, 259)(89, 256)(90, 269)(91, 271)(92, 272)(93, 273)(94, 274)(95, 275)(96, 276)(97, 277)(98, 278)(99, 279)(100, 280)(101, 281)(102, 282)(103, 283)(104, 284)(105, 285)(106, 286)(107, 287)(108, 288)(109, 289)(110, 290)(111, 291)(112, 292)(113, 293)(114, 294)(115, 295)(116, 296)(117, 297)(118, 298)(119, 299)(120, 300)(121, 301)(122, 302)(123, 303)(124, 304)(125, 305)(126, 306)(127, 307)(128, 308)(129, 309)(130, 310)(131, 311)(132, 312)(133, 313)(134, 314)(135, 315)(136, 316)(137, 317)(138, 318)(139, 319)(140, 320)(141, 321)(142, 322)(143, 323)(144, 324)(145, 325)(146, 326)(147, 327)(148, 328)(149, 329)(150, 330)(151, 331)(152, 332)(153, 333)(154, 334)(155, 335)(156, 336)(157, 337)(158, 338)(159, 339)(160, 340)(161, 341)(162, 342)(163, 343)(164, 344)(165, 345)(166, 346)(167, 347)(168, 348)(169, 349)(170, 350)(171, 351)(172, 352)(173, 353)(174, 354)(175, 355)(176, 356)(177, 357)(178, 358)(179, 359)(180, 360)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2155
Graph:: simple bipartite
	v = 51 e = 180 f = 75
	degree seq :: [ 4^45, 30^6 ]

E28.2159 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 15})
Quotient :: dipole
Aut^+ = C3 x D30 (small group id <90, 7>)
Aut   = S3 x D30 (small group id <180, 29>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y1, Y3^-1), (Y2 * Y3)^2, (R * Y3)^2, (R * Y1)^2, Y1^-3 * Y3^-3, Y1^2 * Y2 * Y1 * Y3^-1 * Y2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1^-1, Y3 * R * Y2 * Y1^-1 * Y2 * R * Y1^2, Y1^15 ]
Map:: polytopal non-degenerate
	R = (1, 91, 2, 92, 7, 97, 21, 111, 37, 127, 49, 139, 61, 151, 73, 163, 83, 173, 70, 160, 60, 150, 47, 137, 34, 124, 18, 108, 5, 95)(3, 93, 11, 101, 31, 121, 43, 133, 55, 145, 67, 157, 79, 169, 88, 178, 87, 177, 74, 164, 64, 154, 53, 143, 38, 128, 26, 116, 13, 103)(4, 94, 9, 99, 23, 113, 20, 110, 30, 120, 42, 132, 54, 144, 66, 156, 78, 168, 82, 172, 72, 162, 59, 149, 46, 136, 36, 126, 16, 106)(6, 96, 10, 100, 24, 114, 39, 129, 51, 141, 63, 153, 75, 165, 84, 174, 71, 161, 58, 148, 48, 138, 35, 125, 15, 105, 29, 119, 19, 109)(8, 98, 25, 115, 14, 104, 32, 122, 44, 134, 56, 146, 68, 158, 80, 170, 89, 179, 85, 175, 76, 166, 65, 155, 50, 140, 40, 130, 27, 117)(12, 102, 28, 118, 17, 107, 33, 123, 45, 135, 57, 147, 69, 159, 81, 171, 90, 180, 86, 176, 77, 167, 62, 152, 52, 142, 41, 131, 22, 112)(181, 271, 183, 273)(182, 272, 188, 278)(184, 274, 194, 284)(185, 275, 197, 287)(186, 276, 192, 282)(187, 277, 202, 292)(189, 279, 208, 298)(190, 280, 206, 296)(191, 281, 209, 299)(193, 283, 203, 293)(195, 285, 213, 303)(196, 286, 211, 301)(198, 288, 212, 302)(199, 289, 205, 295)(200, 290, 207, 297)(201, 291, 218, 308)(204, 294, 220, 310)(210, 300, 221, 311)(214, 304, 223, 313)(215, 305, 224, 314)(216, 306, 225, 315)(217, 307, 230, 320)(219, 309, 232, 322)(222, 312, 233, 323)(226, 316, 236, 326)(227, 317, 237, 327)(228, 318, 235, 325)(229, 319, 242, 332)(231, 321, 244, 334)(234, 324, 245, 335)(238, 328, 249, 339)(239, 329, 247, 337)(240, 330, 248, 338)(241, 331, 254, 344)(243, 333, 256, 346)(246, 336, 257, 347)(250, 340, 259, 349)(251, 341, 260, 350)(252, 342, 261, 351)(253, 343, 265, 355)(255, 345, 266, 356)(258, 348, 267, 357)(262, 352, 269, 359)(263, 353, 270, 360)(264, 354, 268, 358)
	L = (1, 184)(2, 189)(3, 192)(4, 195)(5, 196)(6, 181)(7, 203)(8, 206)(9, 209)(10, 182)(11, 208)(12, 207)(13, 202)(14, 183)(15, 214)(16, 215)(17, 205)(18, 216)(19, 185)(20, 186)(21, 200)(22, 220)(23, 199)(24, 187)(25, 193)(26, 221)(27, 218)(28, 188)(29, 198)(30, 190)(31, 197)(32, 191)(33, 194)(34, 226)(35, 227)(36, 228)(37, 210)(38, 232)(39, 201)(40, 233)(41, 230)(42, 204)(43, 213)(44, 211)(45, 212)(46, 238)(47, 239)(48, 240)(49, 222)(50, 244)(51, 217)(52, 245)(53, 242)(54, 219)(55, 225)(56, 223)(57, 224)(58, 250)(59, 251)(60, 252)(61, 234)(62, 256)(63, 229)(64, 257)(65, 254)(66, 231)(67, 237)(68, 235)(69, 236)(70, 262)(71, 263)(72, 264)(73, 246)(74, 266)(75, 241)(76, 267)(77, 265)(78, 243)(79, 249)(80, 247)(81, 248)(82, 255)(83, 258)(84, 253)(85, 268)(86, 269)(87, 270)(88, 261)(89, 259)(90, 260)(91, 271)(92, 272)(93, 273)(94, 274)(95, 275)(96, 276)(97, 277)(98, 278)(99, 279)(100, 280)(101, 281)(102, 282)(103, 283)(104, 284)(105, 285)(106, 286)(107, 287)(108, 288)(109, 289)(110, 290)(111, 291)(112, 292)(113, 293)(114, 294)(115, 295)(116, 296)(117, 297)(118, 298)(119, 299)(120, 300)(121, 301)(122, 302)(123, 303)(124, 304)(125, 305)(126, 306)(127, 307)(128, 308)(129, 309)(130, 310)(131, 311)(132, 312)(133, 313)(134, 314)(135, 315)(136, 316)(137, 317)(138, 318)(139, 319)(140, 320)(141, 321)(142, 322)(143, 323)(144, 324)(145, 325)(146, 326)(147, 327)(148, 328)(149, 329)(150, 330)(151, 331)(152, 332)(153, 333)(154, 334)(155, 335)(156, 336)(157, 337)(158, 338)(159, 339)(160, 340)(161, 341)(162, 342)(163, 343)(164, 344)(165, 345)(166, 346)(167, 347)(168, 348)(169, 349)(170, 350)(171, 351)(172, 352)(173, 353)(174, 354)(175, 355)(176, 356)(177, 357)(178, 358)(179, 359)(180, 360)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2153
Graph:: simple bipartite
	v = 51 e = 180 f = 75
	degree seq :: [ 4^45, 30^6 ]

E28.2160 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 15})
Quotient :: dipole
Aut^+ = C3 x D30 (small group id <90, 7>)
Aut   = S3 x D30 (small group id <180, 29>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3, Y1^-1), (R * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, Y3 * Y1 * Y3 * Y1^2 * Y3, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1^-1 * Y3^-1 * Y1^-2, Y1 * Y3^-1 * Y1 * Y2 * Y1^-2 * Y2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, (Y1^3 * Y2)^2, Y2 * Y1 * Y3 * Y2 * Y1^2 * Y3^-3 ]
Map:: polytopal non-degenerate
	R = (1, 91, 2, 92, 7, 97, 21, 111, 49, 139, 72, 162, 85, 175, 86, 176, 88, 178, 87, 177, 67, 157, 75, 165, 41, 131, 18, 108, 5, 95)(3, 93, 11, 101, 31, 121, 63, 153, 80, 170, 46, 136, 79, 169, 59, 149, 76, 166, 61, 151, 28, 118, 58, 148, 50, 140, 38, 128, 13, 103)(4, 94, 9, 99, 23, 113, 20, 110, 30, 120, 54, 144, 81, 171, 89, 179, 71, 161, 66, 156, 32, 122, 56, 146, 74, 164, 44, 134, 16, 106)(6, 96, 10, 100, 24, 114, 51, 141, 73, 163, 37, 127, 60, 150, 65, 155, 84, 174, 90, 180, 77, 167, 42, 132, 15, 105, 29, 119, 19, 109)(8, 98, 25, 115, 55, 145, 48, 138, 36, 126, 12, 102, 33, 123, 64, 154, 40, 130, 69, 159, 53, 143, 82, 172, 78, 168, 43, 133, 27, 117)(14, 104, 34, 124, 22, 112, 52, 142, 47, 137, 17, 107, 45, 135, 26, 116, 57, 147, 83, 173, 62, 152, 70, 160, 35, 125, 68, 158, 39, 129)(181, 271, 183, 273)(182, 272, 188, 278)(184, 274, 194, 284)(185, 275, 197, 287)(186, 276, 192, 282)(187, 277, 202, 292)(189, 279, 208, 298)(190, 280, 206, 296)(191, 281, 212, 302)(193, 283, 217, 307)(195, 285, 220, 310)(196, 286, 223, 313)(198, 288, 228, 318)(199, 289, 226, 316)(200, 290, 215, 305)(201, 291, 230, 320)(203, 293, 233, 323)(204, 294, 211, 301)(205, 295, 236, 326)(207, 297, 240, 330)(209, 299, 242, 332)(210, 300, 239, 329)(213, 303, 247, 337)(214, 304, 245, 335)(216, 306, 251, 341)(218, 308, 224, 314)(219, 309, 252, 342)(221, 311, 243, 333)(222, 312, 256, 346)(225, 315, 246, 336)(227, 317, 253, 343)(229, 319, 258, 348)(231, 321, 235, 325)(232, 322, 254, 344)(234, 324, 244, 334)(237, 327, 255, 345)(238, 328, 264, 354)(241, 331, 265, 355)(248, 338, 257, 347)(249, 339, 266, 356)(250, 340, 268, 358)(259, 349, 267, 357)(260, 350, 269, 359)(261, 351, 263, 353)(262, 352, 270, 360)
	L = (1, 184)(2, 189)(3, 192)(4, 195)(5, 196)(6, 181)(7, 203)(8, 206)(9, 209)(10, 182)(11, 213)(12, 215)(13, 216)(14, 183)(15, 221)(16, 222)(17, 226)(18, 224)(19, 185)(20, 186)(21, 200)(22, 211)(23, 199)(24, 187)(25, 237)(26, 239)(27, 225)(28, 188)(29, 198)(30, 190)(31, 244)(32, 245)(33, 248)(34, 191)(35, 230)(36, 250)(37, 252)(38, 228)(39, 193)(40, 194)(41, 254)(42, 255)(43, 197)(44, 257)(45, 259)(46, 233)(47, 260)(48, 242)(49, 210)(50, 235)(51, 201)(52, 243)(53, 202)(54, 204)(55, 263)(56, 264)(57, 256)(58, 205)(59, 258)(60, 265)(61, 207)(62, 208)(63, 220)(64, 219)(65, 266)(66, 240)(67, 212)(68, 218)(69, 214)(70, 238)(71, 217)(72, 234)(73, 229)(74, 270)(75, 236)(76, 223)(77, 247)(78, 227)(79, 262)(80, 249)(81, 231)(82, 232)(83, 241)(84, 268)(85, 261)(86, 269)(87, 246)(88, 251)(89, 253)(90, 267)(91, 271)(92, 272)(93, 273)(94, 274)(95, 275)(96, 276)(97, 277)(98, 278)(99, 279)(100, 280)(101, 281)(102, 282)(103, 283)(104, 284)(105, 285)(106, 286)(107, 287)(108, 288)(109, 289)(110, 290)(111, 291)(112, 292)(113, 293)(114, 294)(115, 295)(116, 296)(117, 297)(118, 298)(119, 299)(120, 300)(121, 301)(122, 302)(123, 303)(124, 304)(125, 305)(126, 306)(127, 307)(128, 308)(129, 309)(130, 310)(131, 311)(132, 312)(133, 313)(134, 314)(135, 315)(136, 316)(137, 317)(138, 318)(139, 319)(140, 320)(141, 321)(142, 322)(143, 323)(144, 324)(145, 325)(146, 326)(147, 327)(148, 328)(149, 329)(150, 330)(151, 331)(152, 332)(153, 333)(154, 334)(155, 335)(156, 336)(157, 337)(158, 338)(159, 339)(160, 340)(161, 341)(162, 342)(163, 343)(164, 344)(165, 345)(166, 346)(167, 347)(168, 348)(169, 349)(170, 350)(171, 351)(172, 352)(173, 353)(174, 354)(175, 355)(176, 356)(177, 357)(178, 358)(179, 359)(180, 360)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2156
Graph:: simple bipartite
	v = 51 e = 180 f = 75
	degree seq :: [ 4^45, 30^6 ]

E28.2161 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 15})
Quotient :: dipole
Aut^+ = (C15 x C3) : C2 (small group id <90, 9>)
Aut   = C2 x ((C15 x C3) : C2) (small group id <180, 36>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (Y3, Y2^-1), (R * Y2)^2, (Y2 * Y1)^2, Y3^15 ]
Map:: polytopal non-degenerate
	R = (1, 91, 2, 92)(3, 93, 9, 99)(4, 94, 10, 100)(5, 95, 7, 97)(6, 96, 8, 98)(11, 101, 21, 111)(12, 102, 20, 110)(13, 103, 22, 112)(14, 104, 18, 108)(15, 105, 17, 107)(16, 106, 19, 109)(23, 113, 33, 123)(24, 114, 32, 122)(25, 115, 34, 124)(26, 116, 30, 120)(27, 117, 29, 119)(28, 118, 31, 121)(35, 125, 45, 135)(36, 126, 44, 134)(37, 127, 46, 136)(38, 128, 42, 132)(39, 129, 41, 131)(40, 130, 43, 133)(47, 137, 57, 147)(48, 138, 56, 146)(49, 139, 58, 148)(50, 140, 54, 144)(51, 141, 53, 143)(52, 142, 55, 145)(59, 149, 69, 159)(60, 150, 68, 158)(61, 151, 70, 160)(62, 152, 66, 156)(63, 153, 65, 155)(64, 154, 67, 157)(71, 161, 81, 171)(72, 162, 80, 170)(73, 163, 82, 172)(74, 164, 78, 168)(75, 165, 77, 167)(76, 166, 79, 169)(83, 173, 90, 180)(84, 174, 89, 179)(85, 175, 88, 178)(86, 176, 87, 177)(181, 271, 183, 273, 185, 275)(182, 272, 187, 277, 189, 279)(184, 274, 191, 281, 194, 284)(186, 276, 192, 282, 195, 285)(188, 278, 197, 287, 200, 290)(190, 280, 198, 288, 201, 291)(193, 283, 203, 293, 206, 296)(196, 286, 204, 294, 207, 297)(199, 289, 209, 299, 212, 302)(202, 292, 210, 300, 213, 303)(205, 295, 215, 305, 218, 308)(208, 298, 216, 306, 219, 309)(211, 301, 221, 311, 224, 314)(214, 304, 222, 312, 225, 315)(217, 307, 227, 317, 230, 320)(220, 310, 228, 318, 231, 321)(223, 313, 233, 323, 236, 326)(226, 316, 234, 324, 237, 327)(229, 319, 239, 329, 242, 332)(232, 322, 240, 330, 243, 333)(235, 325, 245, 335, 248, 338)(238, 328, 246, 336, 249, 339)(241, 331, 251, 341, 254, 344)(244, 334, 252, 342, 255, 345)(247, 337, 257, 347, 260, 350)(250, 340, 258, 348, 261, 351)(253, 343, 263, 353, 265, 355)(256, 346, 264, 354, 266, 356)(259, 349, 267, 357, 269, 359)(262, 352, 268, 358, 270, 360)
	L = (1, 184)(2, 188)(3, 191)(4, 193)(5, 194)(6, 181)(7, 197)(8, 199)(9, 200)(10, 182)(11, 203)(12, 183)(13, 205)(14, 206)(15, 185)(16, 186)(17, 209)(18, 187)(19, 211)(20, 212)(21, 189)(22, 190)(23, 215)(24, 192)(25, 217)(26, 218)(27, 195)(28, 196)(29, 221)(30, 198)(31, 223)(32, 224)(33, 201)(34, 202)(35, 227)(36, 204)(37, 229)(38, 230)(39, 207)(40, 208)(41, 233)(42, 210)(43, 235)(44, 236)(45, 213)(46, 214)(47, 239)(48, 216)(49, 241)(50, 242)(51, 219)(52, 220)(53, 245)(54, 222)(55, 247)(56, 248)(57, 225)(58, 226)(59, 251)(60, 228)(61, 253)(62, 254)(63, 231)(64, 232)(65, 257)(66, 234)(67, 259)(68, 260)(69, 237)(70, 238)(71, 263)(72, 240)(73, 256)(74, 265)(75, 243)(76, 244)(77, 267)(78, 246)(79, 262)(80, 269)(81, 249)(82, 250)(83, 264)(84, 252)(85, 266)(86, 255)(87, 268)(88, 258)(89, 270)(90, 261)(91, 271)(92, 272)(93, 273)(94, 274)(95, 275)(96, 276)(97, 277)(98, 278)(99, 279)(100, 280)(101, 281)(102, 282)(103, 283)(104, 284)(105, 285)(106, 286)(107, 287)(108, 288)(109, 289)(110, 290)(111, 291)(112, 292)(113, 293)(114, 294)(115, 295)(116, 296)(117, 297)(118, 298)(119, 299)(120, 300)(121, 301)(122, 302)(123, 303)(124, 304)(125, 305)(126, 306)(127, 307)(128, 308)(129, 309)(130, 310)(131, 311)(132, 312)(133, 313)(134, 314)(135, 315)(136, 316)(137, 317)(138, 318)(139, 319)(140, 320)(141, 321)(142, 322)(143, 323)(144, 324)(145, 325)(146, 326)(147, 327)(148, 328)(149, 329)(150, 330)(151, 331)(152, 332)(153, 333)(154, 334)(155, 335)(156, 336)(157, 337)(158, 338)(159, 339)(160, 340)(161, 341)(162, 342)(163, 343)(164, 344)(165, 345)(166, 346)(167, 347)(168, 348)(169, 349)(170, 350)(171, 351)(172, 352)(173, 353)(174, 354)(175, 355)(176, 356)(177, 357)(178, 358)(179, 359)(180, 360)
	local type(s) :: { ( 4, 30, 4, 30 ), ( 4, 30, 4, 30, 4, 30 ) }
Outer automorphisms :: reflexible
Dual of E28.2162
Graph:: simple bipartite
	v = 75 e = 180 f = 51
	degree seq :: [ 4^45, 6^30 ]

E28.2162 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 15})
Quotient :: dipole
Aut^+ = (C15 x C3) : C2 (small group id <90, 9>)
Aut   = C2 x ((C15 x C3) : C2) (small group id <180, 36>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, (Y2 * Y1^-1)^2, (R * Y1)^2, (Y3, Y1^-1), Y3^-3 * Y1^-3, (R * Y2 * Y3^-1)^2, Y1^15 ]
Map:: polytopal non-degenerate
	R = (1, 91, 2, 92, 7, 97, 19, 109, 35, 125, 49, 139, 61, 151, 73, 163, 83, 173, 70, 160, 60, 150, 47, 137, 32, 122, 16, 106, 5, 95)(3, 93, 11, 101, 27, 117, 43, 133, 55, 145, 67, 157, 79, 169, 88, 178, 85, 175, 74, 164, 62, 152, 50, 140, 36, 126, 20, 110, 8, 98)(4, 94, 9, 99, 21, 111, 18, 108, 26, 116, 40, 130, 53, 143, 65, 155, 77, 167, 82, 172, 72, 162, 59, 149, 46, 136, 34, 124, 15, 105)(6, 96, 10, 100, 22, 112, 37, 127, 51, 141, 63, 153, 75, 165, 84, 174, 71, 161, 58, 148, 48, 138, 33, 123, 14, 104, 25, 115, 17, 107)(12, 102, 28, 118, 42, 132, 31, 121, 45, 135, 57, 147, 69, 159, 81, 171, 90, 180, 86, 176, 76, 166, 64, 154, 52, 142, 38, 128, 23, 113)(13, 103, 29, 119, 44, 134, 56, 146, 68, 158, 80, 170, 89, 179, 87, 177, 78, 168, 66, 156, 54, 144, 41, 131, 30, 120, 39, 129, 24, 114)(181, 271, 183, 273)(182, 272, 188, 278)(184, 274, 193, 283)(185, 275, 191, 281)(186, 276, 192, 282)(187, 277, 200, 290)(189, 279, 204, 294)(190, 280, 203, 293)(194, 284, 211, 301)(195, 285, 209, 299)(196, 286, 207, 297)(197, 287, 208, 298)(198, 288, 210, 300)(199, 289, 216, 306)(201, 291, 219, 309)(202, 292, 218, 308)(205, 295, 222, 312)(206, 296, 221, 311)(212, 302, 223, 313)(213, 303, 225, 315)(214, 304, 224, 314)(215, 305, 230, 320)(217, 307, 232, 322)(220, 310, 234, 324)(226, 316, 236, 326)(227, 317, 235, 325)(228, 318, 237, 327)(229, 319, 242, 332)(231, 321, 244, 334)(233, 323, 246, 336)(238, 328, 249, 339)(239, 329, 248, 338)(240, 330, 247, 337)(241, 331, 254, 344)(243, 333, 256, 346)(245, 335, 258, 348)(250, 340, 259, 349)(251, 341, 261, 351)(252, 342, 260, 350)(253, 343, 265, 355)(255, 345, 266, 356)(257, 347, 267, 357)(262, 352, 269, 359)(263, 353, 268, 358)(264, 354, 270, 360)
	L = (1, 184)(2, 189)(3, 192)(4, 194)(5, 195)(6, 181)(7, 201)(8, 203)(9, 205)(10, 182)(11, 208)(12, 210)(13, 183)(14, 212)(15, 213)(16, 214)(17, 185)(18, 186)(19, 198)(20, 218)(21, 197)(22, 187)(23, 221)(24, 188)(25, 196)(26, 190)(27, 222)(28, 219)(29, 191)(30, 216)(31, 193)(32, 226)(33, 227)(34, 228)(35, 206)(36, 232)(37, 199)(38, 234)(39, 200)(40, 202)(41, 230)(42, 204)(43, 211)(44, 207)(45, 209)(46, 238)(47, 239)(48, 240)(49, 220)(50, 244)(51, 215)(52, 246)(53, 217)(54, 242)(55, 225)(56, 223)(57, 224)(58, 250)(59, 251)(60, 252)(61, 233)(62, 256)(63, 229)(64, 258)(65, 231)(66, 254)(67, 237)(68, 235)(69, 236)(70, 262)(71, 263)(72, 264)(73, 245)(74, 266)(75, 241)(76, 267)(77, 243)(78, 265)(79, 249)(80, 247)(81, 248)(82, 255)(83, 257)(84, 253)(85, 270)(86, 269)(87, 268)(88, 261)(89, 259)(90, 260)(91, 271)(92, 272)(93, 273)(94, 274)(95, 275)(96, 276)(97, 277)(98, 278)(99, 279)(100, 280)(101, 281)(102, 282)(103, 283)(104, 284)(105, 285)(106, 286)(107, 287)(108, 288)(109, 289)(110, 290)(111, 291)(112, 292)(113, 293)(114, 294)(115, 295)(116, 296)(117, 297)(118, 298)(119, 299)(120, 300)(121, 301)(122, 302)(123, 303)(124, 304)(125, 305)(126, 306)(127, 307)(128, 308)(129, 309)(130, 310)(131, 311)(132, 312)(133, 313)(134, 314)(135, 315)(136, 316)(137, 317)(138, 318)(139, 319)(140, 320)(141, 321)(142, 322)(143, 323)(144, 324)(145, 325)(146, 326)(147, 327)(148, 328)(149, 329)(150, 330)(151, 331)(152, 332)(153, 333)(154, 334)(155, 335)(156, 336)(157, 337)(158, 338)(159, 339)(160, 340)(161, 341)(162, 342)(163, 343)(164, 344)(165, 345)(166, 346)(167, 347)(168, 348)(169, 349)(170, 350)(171, 351)(172, 352)(173, 353)(174, 354)(175, 355)(176, 356)(177, 357)(178, 358)(179, 359)(180, 360)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2161
Graph:: simple bipartite
	v = 51 e = 180 f = 75
	degree seq :: [ 4^45, 30^6 ]

E28.2163 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 6, 15})
Quotient :: edge
Aut^+ = C3 x C3 x D10 (small group id <90, 5>)
Aut   = ((C3 x C3) : C2) x D10 (small group id <180, 27>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-1 * T1^2 * T2 * T1^-2, T1^6, T1^-1 * T2 * T1 * T2^-4, T1 * T2^-1 * T1^-1 * T2^-2 * T1 * T2^-2 * T1^-1 * T2^-1, (T2^-1 * T1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 30, 23, 57, 86, 62, 56, 85, 60, 25, 46, 17, 5)(2, 7, 22, 28, 9, 27, 63, 44, 29, 64, 41, 15, 40, 26, 8)(4, 12, 35, 34, 11, 32, 67, 45, 31, 65, 43, 16, 42, 39, 14)(6, 19, 50, 54, 21, 53, 83, 61, 55, 84, 59, 24, 58, 52, 20)(13, 33, 66, 71, 36, 68, 87, 74, 70, 88, 73, 38, 69, 72, 37)(18, 47, 75, 78, 49, 77, 89, 82, 79, 90, 81, 51, 80, 76, 48)(91, 92, 96, 108, 103, 94)(93, 99, 109, 139, 123, 101)(95, 105, 110, 141, 127, 106)(97, 111, 137, 126, 102, 113)(98, 114, 138, 128, 104, 115)(100, 119, 140, 169, 156, 121)(107, 134, 142, 172, 162, 135)(112, 145, 165, 160, 125, 146)(116, 151, 166, 164, 129, 152)(117, 143, 167, 158, 122, 147)(118, 148, 168, 159, 124, 136)(120, 130, 144, 170, 161, 132)(131, 149, 171, 163, 133, 150)(153, 174, 179, 178, 157, 175)(154, 173, 180, 177, 155, 176)
	L = (1, 91)(2, 92)(3, 93)(4, 94)(5, 95)(6, 96)(7, 97)(8, 98)(9, 99)(10, 100)(11, 101)(12, 102)(13, 103)(14, 104)(15, 105)(16, 106)(17, 107)(18, 108)(19, 109)(20, 110)(21, 111)(22, 112)(23, 113)(24, 114)(25, 115)(26, 116)(27, 117)(28, 118)(29, 119)(30, 120)(31, 121)(32, 122)(33, 123)(34, 124)(35, 125)(36, 126)(37, 127)(38, 128)(39, 129)(40, 130)(41, 131)(42, 132)(43, 133)(44, 134)(45, 135)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 12^6 ), ( 12^15 ) }
Outer automorphisms :: reflexible
Dual of E28.2164
Transitivity :: ET+
Graph:: simple bipartite
	v = 21 e = 90 f = 15
	degree seq :: [ 6^15, 15^6 ]

E28.2164 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 6, 15})
Quotient :: loop
Aut^+ = C3 x C3 x D10 (small group id <90, 5>)
Aut   = ((C3 x C3) : C2) x D10 (small group id <180, 27>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-1 * T1^-1 * T2^2 * T1 * T2^-1, T1 * T2 * T1^-2 * T2^-1 * T1, T1^6, T2^6, T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 91, 3, 93, 10, 100, 29, 119, 17, 107, 5, 95)(2, 92, 7, 97, 22, 112, 48, 138, 26, 116, 8, 98)(4, 94, 12, 102, 30, 120, 59, 149, 37, 127, 14, 104)(6, 96, 19, 109, 43, 133, 74, 164, 45, 135, 20, 110)(9, 99, 27, 117, 54, 144, 38, 128, 15, 105, 28, 118)(11, 101, 31, 121, 58, 148, 39, 129, 16, 106, 33, 123)(13, 103, 32, 122, 60, 150, 87, 177, 65, 155, 35, 125)(18, 108, 40, 130, 70, 160, 89, 179, 71, 161, 41, 131)(21, 111, 46, 136, 77, 167, 51, 141, 24, 114, 47, 137)(23, 113, 49, 139, 81, 171, 52, 142, 25, 115, 50, 140)(34, 124, 63, 153, 88, 178, 66, 156, 36, 126, 64, 154)(42, 132, 72, 162, 90, 180, 75, 165, 44, 134, 73, 163)(53, 143, 83, 173, 67, 157, 82, 172, 56, 146, 86, 176)(55, 145, 79, 169, 68, 158, 76, 166, 57, 147, 84, 174)(61, 151, 80, 170, 69, 159, 78, 168, 62, 152, 85, 175)
	L = (1, 92)(2, 96)(3, 99)(4, 91)(5, 105)(6, 108)(7, 111)(8, 114)(9, 109)(10, 112)(11, 93)(12, 113)(13, 94)(14, 115)(15, 110)(16, 95)(17, 116)(18, 103)(19, 132)(20, 134)(21, 130)(22, 133)(23, 97)(24, 131)(25, 98)(26, 135)(27, 143)(28, 146)(29, 144)(30, 100)(31, 145)(32, 101)(33, 147)(34, 102)(35, 106)(36, 104)(37, 107)(38, 157)(39, 158)(40, 124)(41, 126)(42, 122)(43, 160)(44, 125)(45, 161)(46, 166)(47, 169)(48, 167)(49, 168)(50, 170)(51, 174)(52, 175)(53, 162)(54, 164)(55, 117)(56, 163)(57, 118)(58, 119)(59, 171)(60, 120)(61, 121)(62, 123)(63, 172)(64, 173)(65, 127)(66, 176)(67, 165)(68, 128)(69, 129)(70, 150)(71, 155)(72, 151)(73, 152)(74, 180)(75, 159)(76, 153)(77, 179)(78, 136)(79, 154)(80, 137)(81, 138)(82, 139)(83, 140)(84, 156)(85, 141)(86, 142)(87, 148)(88, 149)(89, 178)(90, 177)
	local type(s) :: { ( 6, 15, 6, 15, 6, 15, 6, 15, 6, 15, 6, 15 ) }
Outer automorphisms :: reflexible
Dual of E28.2163
Transitivity :: ET+ VT+ AT
Graph::
	v = 15 e = 90 f = 21
	degree seq :: [ 12^15 ]

E28.2165 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 15})
Quotient :: dipole
Aut^+ = C3 x C3 x D10 (small group id <90, 5>)
Aut   = ((C3 x C3) : C2) x D10 (small group id <180, 27>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^6, Y2 * Y1^2 * Y2^-1 * Y1^-2, Y1^-1 * Y2 * Y1 * Y2^-4, Y1^-1 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1^-1 * Y2^-1, (Y3^-1 * Y1^-1)^6 ]
Map::
	R = (1, 91, 2, 92, 6, 96, 18, 108, 13, 103, 4, 94)(3, 93, 9, 99, 19, 109, 49, 139, 33, 123, 11, 101)(5, 95, 15, 105, 20, 110, 51, 141, 37, 127, 16, 106)(7, 97, 21, 111, 47, 137, 36, 126, 12, 102, 23, 113)(8, 98, 24, 114, 48, 138, 38, 128, 14, 104, 25, 115)(10, 100, 29, 119, 50, 140, 79, 169, 66, 156, 31, 121)(17, 107, 44, 134, 52, 142, 82, 172, 72, 162, 45, 135)(22, 112, 55, 145, 75, 165, 70, 160, 35, 125, 56, 146)(26, 116, 61, 151, 76, 166, 74, 164, 39, 129, 62, 152)(27, 117, 53, 143, 77, 167, 68, 158, 32, 122, 57, 147)(28, 118, 58, 148, 78, 168, 69, 159, 34, 124, 46, 136)(30, 120, 40, 130, 54, 144, 80, 170, 71, 161, 42, 132)(41, 131, 59, 149, 81, 171, 73, 163, 43, 133, 60, 150)(63, 153, 84, 174, 89, 179, 88, 178, 67, 157, 85, 175)(64, 154, 83, 173, 90, 180, 87, 177, 65, 155, 86, 176)(181, 271, 183, 273, 190, 280, 210, 300, 203, 293, 237, 327, 266, 356, 242, 332, 236, 326, 265, 355, 240, 330, 205, 295, 226, 316, 197, 287, 185, 275)(182, 272, 187, 277, 202, 292, 208, 298, 189, 279, 207, 297, 243, 333, 224, 314, 209, 299, 244, 334, 221, 311, 195, 285, 220, 310, 206, 296, 188, 278)(184, 274, 192, 282, 215, 305, 214, 304, 191, 281, 212, 302, 247, 337, 225, 315, 211, 301, 245, 335, 223, 313, 196, 286, 222, 312, 219, 309, 194, 284)(186, 276, 199, 289, 230, 320, 234, 324, 201, 291, 233, 323, 263, 353, 241, 331, 235, 325, 264, 354, 239, 329, 204, 294, 238, 328, 232, 322, 200, 290)(193, 283, 213, 303, 246, 336, 251, 341, 216, 306, 248, 338, 267, 357, 254, 344, 250, 340, 268, 358, 253, 343, 218, 308, 249, 339, 252, 342, 217, 307)(198, 288, 227, 317, 255, 345, 258, 348, 229, 319, 257, 347, 269, 359, 262, 352, 259, 349, 270, 360, 261, 351, 231, 321, 260, 350, 256, 346, 228, 318)
	L = (1, 183)(2, 187)(3, 190)(4, 192)(5, 181)(6, 199)(7, 202)(8, 182)(9, 207)(10, 210)(11, 212)(12, 215)(13, 213)(14, 184)(15, 220)(16, 222)(17, 185)(18, 227)(19, 230)(20, 186)(21, 233)(22, 208)(23, 237)(24, 238)(25, 226)(26, 188)(27, 243)(28, 189)(29, 244)(30, 203)(31, 245)(32, 247)(33, 246)(34, 191)(35, 214)(36, 248)(37, 193)(38, 249)(39, 194)(40, 206)(41, 195)(42, 219)(43, 196)(44, 209)(45, 211)(46, 197)(47, 255)(48, 198)(49, 257)(50, 234)(51, 260)(52, 200)(53, 263)(54, 201)(55, 264)(56, 265)(57, 266)(58, 232)(59, 204)(60, 205)(61, 235)(62, 236)(63, 224)(64, 221)(65, 223)(66, 251)(67, 225)(68, 267)(69, 252)(70, 268)(71, 216)(72, 217)(73, 218)(74, 250)(75, 258)(76, 228)(77, 269)(78, 229)(79, 270)(80, 256)(81, 231)(82, 259)(83, 241)(84, 239)(85, 240)(86, 242)(87, 254)(88, 253)(89, 262)(90, 261)(91, 271)(92, 272)(93, 273)(94, 274)(95, 275)(96, 276)(97, 277)(98, 278)(99, 279)(100, 280)(101, 281)(102, 282)(103, 283)(104, 284)(105, 285)(106, 286)(107, 287)(108, 288)(109, 289)(110, 290)(111, 291)(112, 292)(113, 293)(114, 294)(115, 295)(116, 296)(117, 297)(118, 298)(119, 299)(120, 300)(121, 301)(122, 302)(123, 303)(124, 304)(125, 305)(126, 306)(127, 307)(128, 308)(129, 309)(130, 310)(131, 311)(132, 312)(133, 313)(134, 314)(135, 315)(136, 316)(137, 317)(138, 318)(139, 319)(140, 320)(141, 321)(142, 322)(143, 323)(144, 324)(145, 325)(146, 326)(147, 327)(148, 328)(149, 329)(150, 330)(151, 331)(152, 332)(153, 333)(154, 334)(155, 335)(156, 336)(157, 337)(158, 338)(159, 339)(160, 340)(161, 341)(162, 342)(163, 343)(164, 344)(165, 345)(166, 346)(167, 347)(168, 348)(169, 349)(170, 350)(171, 351)(172, 352)(173, 353)(174, 354)(175, 355)(176, 356)(177, 357)(178, 358)(179, 359)(180, 360)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2166
Graph:: bipartite
	v = 21 e = 180 f = 105
	degree seq :: [ 12^15, 30^6 ]

E28.2166 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 15})
Quotient :: dipole
Aut^+ = C3 x C3 x D10 (small group id <90, 5>)
Aut   = ((C3 x C3) : C2) x D10 (small group id <180, 27>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^6, Y2^-2 * Y3 * Y2^2 * Y3^-1, Y2^-1 * Y3 * Y2 * Y3^-4, (Y3 * Y2^-1)^6, (Y3^-1 * Y1^-1)^15 ]
Map:: polytopal
	R = (1, 91)(2, 92)(3, 93)(4, 94)(5, 95)(6, 96)(7, 97)(8, 98)(9, 99)(10, 100)(11, 101)(12, 102)(13, 103)(14, 104)(15, 105)(16, 106)(17, 107)(18, 108)(19, 109)(20, 110)(21, 111)(22, 112)(23, 113)(24, 114)(25, 115)(26, 116)(27, 117)(28, 118)(29, 119)(30, 120)(31, 121)(32, 122)(33, 123)(34, 124)(35, 125)(36, 126)(37, 127)(38, 128)(39, 129)(40, 130)(41, 131)(42, 132)(43, 133)(44, 134)(45, 135)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)(181, 271, 182, 272, 186, 276, 198, 288, 193, 283, 184, 274)(183, 273, 189, 279, 199, 289, 229, 319, 213, 303, 191, 281)(185, 275, 195, 285, 200, 290, 231, 321, 217, 307, 196, 286)(187, 277, 201, 291, 227, 317, 216, 306, 192, 282, 203, 293)(188, 278, 204, 294, 228, 318, 218, 308, 194, 284, 205, 295)(190, 280, 209, 299, 230, 320, 259, 349, 246, 336, 211, 301)(197, 287, 224, 314, 232, 322, 262, 352, 252, 342, 225, 315)(202, 292, 235, 325, 255, 345, 250, 340, 215, 305, 236, 326)(206, 296, 241, 331, 256, 346, 254, 344, 219, 309, 242, 332)(207, 297, 233, 323, 257, 347, 248, 338, 212, 302, 237, 327)(208, 298, 238, 328, 258, 348, 249, 339, 214, 304, 226, 316)(210, 300, 220, 310, 234, 324, 260, 350, 251, 341, 222, 312)(221, 311, 239, 329, 261, 351, 253, 343, 223, 313, 240, 330)(243, 333, 264, 354, 269, 359, 268, 358, 247, 337, 265, 355)(244, 334, 263, 353, 270, 360, 267, 357, 245, 335, 266, 356)
	L = (1, 183)(2, 187)(3, 190)(4, 192)(5, 181)(6, 199)(7, 202)(8, 182)(9, 207)(10, 210)(11, 212)(12, 215)(13, 213)(14, 184)(15, 220)(16, 222)(17, 185)(18, 227)(19, 230)(20, 186)(21, 233)(22, 208)(23, 237)(24, 238)(25, 226)(26, 188)(27, 243)(28, 189)(29, 244)(30, 203)(31, 245)(32, 247)(33, 246)(34, 191)(35, 214)(36, 248)(37, 193)(38, 249)(39, 194)(40, 206)(41, 195)(42, 219)(43, 196)(44, 209)(45, 211)(46, 197)(47, 255)(48, 198)(49, 257)(50, 234)(51, 260)(52, 200)(53, 263)(54, 201)(55, 264)(56, 265)(57, 266)(58, 232)(59, 204)(60, 205)(61, 235)(62, 236)(63, 224)(64, 221)(65, 223)(66, 251)(67, 225)(68, 267)(69, 252)(70, 268)(71, 216)(72, 217)(73, 218)(74, 250)(75, 258)(76, 228)(77, 269)(78, 229)(79, 270)(80, 256)(81, 231)(82, 259)(83, 241)(84, 239)(85, 240)(86, 242)(87, 254)(88, 253)(89, 262)(90, 261)(91, 271)(92, 272)(93, 273)(94, 274)(95, 275)(96, 276)(97, 277)(98, 278)(99, 279)(100, 280)(101, 281)(102, 282)(103, 283)(104, 284)(105, 285)(106, 286)(107, 287)(108, 288)(109, 289)(110, 290)(111, 291)(112, 292)(113, 293)(114, 294)(115, 295)(116, 296)(117, 297)(118, 298)(119, 299)(120, 300)(121, 301)(122, 302)(123, 303)(124, 304)(125, 305)(126, 306)(127, 307)(128, 308)(129, 309)(130, 310)(131, 311)(132, 312)(133, 313)(134, 314)(135, 315)(136, 316)(137, 317)(138, 318)(139, 319)(140, 320)(141, 321)(142, 322)(143, 323)(144, 324)(145, 325)(146, 326)(147, 327)(148, 328)(149, 329)(150, 330)(151, 331)(152, 332)(153, 333)(154, 334)(155, 335)(156, 336)(157, 337)(158, 338)(159, 339)(160, 340)(161, 341)(162, 342)(163, 343)(164, 344)(165, 345)(166, 346)(167, 347)(168, 348)(169, 349)(170, 350)(171, 351)(172, 352)(173, 353)(174, 354)(175, 355)(176, 356)(177, 357)(178, 358)(179, 359)(180, 360)
	local type(s) :: { ( 12, 30 ), ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ) }
Outer automorphisms :: reflexible
Dual of E28.2165
Graph:: simple bipartite
	v = 105 e = 180 f = 21
	degree seq :: [ 2^90, 12^15 ]

E28.2167 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 6, 15})
Quotient :: edge
Aut^+ = C3 x D30 (small group id <90, 7>)
Aut   = S3 x D30 (small group id <180, 29>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^-1 * T2^-1 * T1 * T2^-1, T1^6, T2^15 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 31, 43, 55, 67, 72, 60, 48, 36, 24, 13, 5)(2, 7, 17, 29, 41, 53, 65, 77, 78, 66, 54, 42, 30, 18, 8)(4, 11, 22, 34, 46, 58, 70, 81, 79, 68, 56, 44, 32, 20, 10)(6, 15, 27, 39, 51, 63, 75, 85, 86, 76, 64, 52, 40, 28, 16)(12, 21, 33, 45, 57, 69, 80, 87, 88, 82, 71, 59, 47, 35, 23)(14, 25, 37, 49, 61, 73, 83, 89, 90, 84, 74, 62, 50, 38, 26)(91, 92, 96, 104, 102, 94)(93, 98, 105, 116, 111, 100)(95, 97, 106, 115, 113, 101)(99, 108, 117, 128, 123, 110)(103, 107, 118, 127, 125, 112)(109, 120, 129, 140, 135, 122)(114, 119, 130, 139, 137, 124)(121, 132, 141, 152, 147, 134)(126, 131, 142, 151, 149, 136)(133, 144, 153, 164, 159, 146)(138, 143, 154, 163, 161, 148)(145, 156, 165, 174, 170, 158)(150, 155, 166, 173, 172, 160)(157, 168, 175, 180, 177, 169)(162, 167, 176, 179, 178, 171)
	L = (1, 91)(2, 92)(3, 93)(4, 94)(5, 95)(6, 96)(7, 97)(8, 98)(9, 99)(10, 100)(11, 101)(12, 102)(13, 103)(14, 104)(15, 105)(16, 106)(17, 107)(18, 108)(19, 109)(20, 110)(21, 111)(22, 112)(23, 113)(24, 114)(25, 115)(26, 116)(27, 117)(28, 118)(29, 119)(30, 120)(31, 121)(32, 122)(33, 123)(34, 124)(35, 125)(36, 126)(37, 127)(38, 128)(39, 129)(40, 130)(41, 131)(42, 132)(43, 133)(44, 134)(45, 135)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 12^6 ), ( 12^15 ) }
Outer automorphisms :: reflexible
Dual of E28.2170
Transitivity :: ET+
Graph:: simple bipartite
	v = 21 e = 90 f = 15
	degree seq :: [ 6^15, 15^6 ]

E28.2168 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 6, 15})
Quotient :: edge
Aut^+ = C3 x D30 (small group id <90, 7>)
Aut   = S3 x D30 (small group id <180, 29>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1)^2, (F * T2)^2, (F * T1)^2, T1^-2 * T2 * T1 * T2 * T1^-1, T2 * T1 * T2 * T1^3, (T2^-2 * T1^-1)^2, T2^15 ]
Map:: non-degenerate
	R = (1, 3, 10, 25, 37, 49, 61, 73, 76, 64, 52, 40, 28, 15, 5)(2, 7, 20, 32, 44, 56, 68, 80, 82, 70, 58, 46, 34, 22, 8)(4, 11, 26, 38, 50, 62, 74, 85, 84, 72, 60, 48, 36, 24, 13)(6, 17, 29, 41, 53, 65, 77, 87, 88, 78, 66, 54, 42, 30, 18)(9, 16, 14, 27, 39, 51, 63, 75, 86, 83, 71, 59, 47, 35, 23)(12, 21, 33, 45, 57, 69, 81, 90, 89, 79, 67, 55, 43, 31, 19)(91, 92, 96, 106, 102, 94)(93, 99, 107, 103, 111, 98)(95, 101, 108, 97, 109, 104)(100, 114, 119, 112, 123, 113)(105, 117, 120, 116, 121, 110)(115, 124, 131, 125, 135, 126)(118, 122, 132, 129, 133, 128)(127, 137, 143, 138, 147, 136)(130, 140, 144, 134, 145, 141)(139, 150, 155, 148, 159, 149)(142, 153, 156, 152, 157, 146)(151, 160, 167, 161, 171, 162)(154, 158, 168, 165, 169, 164)(163, 173, 177, 174, 180, 172)(166, 175, 178, 170, 179, 176)
	L = (1, 91)(2, 92)(3, 93)(4, 94)(5, 95)(6, 96)(7, 97)(8, 98)(9, 99)(10, 100)(11, 101)(12, 102)(13, 103)(14, 104)(15, 105)(16, 106)(17, 107)(18, 108)(19, 109)(20, 110)(21, 111)(22, 112)(23, 113)(24, 114)(25, 115)(26, 116)(27, 117)(28, 118)(29, 119)(30, 120)(31, 121)(32, 122)(33, 123)(34, 124)(35, 125)(36, 126)(37, 127)(38, 128)(39, 129)(40, 130)(41, 131)(42, 132)(43, 133)(44, 134)(45, 135)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 12^6 ), ( 12^15 ) }
Outer automorphisms :: reflexible
Dual of E28.2169
Transitivity :: ET+
Graph:: simple bipartite
	v = 21 e = 90 f = 15
	degree seq :: [ 6^15, 15^6 ]

E28.2169 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 6, 15})
Quotient :: loop
Aut^+ = C3 x D30 (small group id <90, 7>)
Aut   = S3 x D30 (small group id <180, 29>)
|r| :: 2
Presentation :: [ F^2, T2^2 * T1^-2, (F * T2)^2, (F * T1)^2, T1^6, (T2^-1 * T1^-1)^15 ]
Map:: non-degenerate
	R = (1, 91, 3, 93, 6, 96, 15, 105, 11, 101, 5, 95)(2, 92, 7, 97, 14, 104, 12, 102, 4, 94, 8, 98)(9, 99, 19, 109, 13, 103, 21, 111, 10, 100, 20, 110)(16, 106, 22, 112, 18, 108, 24, 114, 17, 107, 23, 113)(25, 115, 31, 121, 27, 117, 33, 123, 26, 116, 32, 122)(28, 118, 34, 124, 30, 120, 36, 126, 29, 119, 35, 125)(37, 127, 43, 133, 39, 129, 45, 135, 38, 128, 44, 134)(40, 130, 46, 136, 42, 132, 48, 138, 41, 131, 47, 137)(49, 139, 55, 145, 51, 141, 57, 147, 50, 140, 56, 146)(52, 142, 58, 148, 54, 144, 60, 150, 53, 143, 59, 149)(61, 151, 67, 157, 63, 153, 69, 159, 62, 152, 68, 158)(64, 154, 70, 160, 66, 156, 72, 162, 65, 155, 71, 161)(73, 163, 79, 169, 75, 165, 81, 171, 74, 164, 80, 170)(76, 166, 82, 172, 78, 168, 84, 174, 77, 167, 83, 173)(85, 175, 88, 178, 87, 177, 90, 180, 86, 176, 89, 179)
	L = (1, 92)(2, 96)(3, 99)(4, 91)(5, 100)(6, 104)(7, 106)(8, 107)(9, 105)(10, 93)(11, 94)(12, 108)(13, 95)(14, 101)(15, 103)(16, 102)(17, 97)(18, 98)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 111)(26, 109)(27, 110)(28, 114)(29, 112)(30, 113)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 123)(38, 121)(39, 122)(40, 126)(41, 124)(42, 125)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 135)(50, 133)(51, 134)(52, 138)(53, 136)(54, 137)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 147)(62, 145)(63, 146)(64, 150)(65, 148)(66, 149)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 159)(74, 157)(75, 158)(76, 162)(77, 160)(78, 161)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 171)(86, 169)(87, 170)(88, 174)(89, 172)(90, 173)
	local type(s) :: { ( 6, 15, 6, 15, 6, 15, 6, 15, 6, 15, 6, 15 ) }
Outer automorphisms :: reflexible
Dual of E28.2168
Transitivity :: ET+ VT+ AT
Graph::
	v = 15 e = 90 f = 21
	degree seq :: [ 12^15 ]

E28.2170 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 6, 15})
Quotient :: loop
Aut^+ = C3 x D30 (small group id <90, 7>)
Aut   = S3 x D30 (small group id <180, 29>)
|r| :: 2
Presentation :: [ F^2, T1^-2 * T2^-2, (F * T2)^2, (F * T1)^2, T2^6, T2^-2 * T1^4, (T2 * T1)^15 ]
Map:: non-degenerate
	R = (1, 91, 3, 93, 10, 100, 15, 105, 6, 96, 5, 95)(2, 92, 7, 97, 4, 94, 12, 102, 14, 104, 8, 98)(9, 99, 19, 109, 11, 101, 21, 111, 13, 103, 20, 110)(16, 106, 22, 112, 17, 107, 24, 114, 18, 108, 23, 113)(25, 115, 31, 121, 26, 116, 33, 123, 27, 117, 32, 122)(28, 118, 34, 124, 29, 119, 36, 126, 30, 120, 35, 125)(37, 127, 43, 133, 38, 128, 45, 135, 39, 129, 44, 134)(40, 130, 46, 136, 41, 131, 48, 138, 42, 132, 47, 137)(49, 139, 55, 145, 50, 140, 57, 147, 51, 141, 56, 146)(52, 142, 58, 148, 53, 143, 60, 150, 54, 144, 59, 149)(61, 151, 67, 157, 62, 152, 69, 159, 63, 153, 68, 158)(64, 154, 70, 160, 65, 155, 72, 162, 66, 156, 71, 161)(73, 163, 79, 169, 74, 164, 81, 171, 75, 165, 80, 170)(76, 166, 82, 172, 77, 167, 84, 174, 78, 168, 83, 173)(85, 175, 89, 179, 86, 176, 90, 180, 87, 177, 88, 178)
	L = (1, 92)(2, 96)(3, 99)(4, 91)(5, 103)(6, 104)(7, 106)(8, 108)(9, 95)(10, 94)(11, 93)(12, 107)(13, 105)(14, 100)(15, 101)(16, 98)(17, 97)(18, 102)(19, 115)(20, 117)(21, 116)(22, 118)(23, 120)(24, 119)(25, 110)(26, 109)(27, 111)(28, 113)(29, 112)(30, 114)(31, 127)(32, 129)(33, 128)(34, 130)(35, 132)(36, 131)(37, 122)(38, 121)(39, 123)(40, 125)(41, 124)(42, 126)(43, 139)(44, 141)(45, 140)(46, 142)(47, 144)(48, 143)(49, 134)(50, 133)(51, 135)(52, 137)(53, 136)(54, 138)(55, 151)(56, 153)(57, 152)(58, 154)(59, 156)(60, 155)(61, 146)(62, 145)(63, 147)(64, 149)(65, 148)(66, 150)(67, 163)(68, 165)(69, 164)(70, 166)(71, 168)(72, 167)(73, 158)(74, 157)(75, 159)(76, 161)(77, 160)(78, 162)(79, 175)(80, 177)(81, 176)(82, 178)(83, 180)(84, 179)(85, 170)(86, 169)(87, 171)(88, 173)(89, 172)(90, 174)
	local type(s) :: { ( 6, 15, 6, 15, 6, 15, 6, 15, 6, 15, 6, 15 ) }
Outer automorphisms :: reflexible
Dual of E28.2167
Transitivity :: ET+ VT+ AT
Graph::
	v = 15 e = 90 f = 21
	degree seq :: [ 12^15 ]

E28.2171 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 15})
Quotient :: dipole
Aut^+ = C3 x D30 (small group id <90, 7>)
Aut   = S3 x D30 (small group id <180, 29>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2^-1 * Y1 * Y2^-1, Y1^6, (Y3^-1 * Y1^-1)^6, Y2^15 ]
Map::
	R = (1, 91, 2, 92, 6, 96, 14, 104, 12, 102, 4, 94)(3, 93, 8, 98, 15, 105, 26, 116, 21, 111, 10, 100)(5, 95, 7, 97, 16, 106, 25, 115, 23, 113, 11, 101)(9, 99, 18, 108, 27, 117, 38, 128, 33, 123, 20, 110)(13, 103, 17, 107, 28, 118, 37, 127, 35, 125, 22, 112)(19, 109, 30, 120, 39, 129, 50, 140, 45, 135, 32, 122)(24, 114, 29, 119, 40, 130, 49, 139, 47, 137, 34, 124)(31, 121, 42, 132, 51, 141, 62, 152, 57, 147, 44, 134)(36, 126, 41, 131, 52, 142, 61, 151, 59, 149, 46, 136)(43, 133, 54, 144, 63, 153, 74, 164, 69, 159, 56, 146)(48, 138, 53, 143, 64, 154, 73, 163, 71, 161, 58, 148)(55, 145, 66, 156, 75, 165, 84, 174, 80, 170, 68, 158)(60, 150, 65, 155, 76, 166, 83, 173, 82, 172, 70, 160)(67, 157, 78, 168, 85, 175, 90, 180, 87, 177, 79, 169)(72, 162, 77, 167, 86, 176, 89, 179, 88, 178, 81, 171)(181, 271, 183, 273, 189, 279, 199, 289, 211, 301, 223, 313, 235, 325, 247, 337, 252, 342, 240, 330, 228, 318, 216, 306, 204, 294, 193, 283, 185, 275)(182, 272, 187, 277, 197, 287, 209, 299, 221, 311, 233, 323, 245, 335, 257, 347, 258, 348, 246, 336, 234, 324, 222, 312, 210, 300, 198, 288, 188, 278)(184, 274, 191, 281, 202, 292, 214, 304, 226, 316, 238, 328, 250, 340, 261, 351, 259, 349, 248, 338, 236, 326, 224, 314, 212, 302, 200, 290, 190, 280)(186, 276, 195, 285, 207, 297, 219, 309, 231, 321, 243, 333, 255, 345, 265, 355, 266, 356, 256, 346, 244, 334, 232, 322, 220, 310, 208, 298, 196, 286)(192, 282, 201, 291, 213, 303, 225, 315, 237, 327, 249, 339, 260, 350, 267, 357, 268, 358, 262, 352, 251, 341, 239, 329, 227, 317, 215, 305, 203, 293)(194, 284, 205, 295, 217, 307, 229, 319, 241, 331, 253, 343, 263, 353, 269, 359, 270, 360, 264, 354, 254, 344, 242, 332, 230, 320, 218, 308, 206, 296)
	L = (1, 183)(2, 187)(3, 189)(4, 191)(5, 181)(6, 195)(7, 197)(8, 182)(9, 199)(10, 184)(11, 202)(12, 201)(13, 185)(14, 205)(15, 207)(16, 186)(17, 209)(18, 188)(19, 211)(20, 190)(21, 213)(22, 214)(23, 192)(24, 193)(25, 217)(26, 194)(27, 219)(28, 196)(29, 221)(30, 198)(31, 223)(32, 200)(33, 225)(34, 226)(35, 203)(36, 204)(37, 229)(38, 206)(39, 231)(40, 208)(41, 233)(42, 210)(43, 235)(44, 212)(45, 237)(46, 238)(47, 215)(48, 216)(49, 241)(50, 218)(51, 243)(52, 220)(53, 245)(54, 222)(55, 247)(56, 224)(57, 249)(58, 250)(59, 227)(60, 228)(61, 253)(62, 230)(63, 255)(64, 232)(65, 257)(66, 234)(67, 252)(68, 236)(69, 260)(70, 261)(71, 239)(72, 240)(73, 263)(74, 242)(75, 265)(76, 244)(77, 258)(78, 246)(79, 248)(80, 267)(81, 259)(82, 251)(83, 269)(84, 254)(85, 266)(86, 256)(87, 268)(88, 262)(89, 270)(90, 264)(91, 271)(92, 272)(93, 273)(94, 274)(95, 275)(96, 276)(97, 277)(98, 278)(99, 279)(100, 280)(101, 281)(102, 282)(103, 283)(104, 284)(105, 285)(106, 286)(107, 287)(108, 288)(109, 289)(110, 290)(111, 291)(112, 292)(113, 293)(114, 294)(115, 295)(116, 296)(117, 297)(118, 298)(119, 299)(120, 300)(121, 301)(122, 302)(123, 303)(124, 304)(125, 305)(126, 306)(127, 307)(128, 308)(129, 309)(130, 310)(131, 311)(132, 312)(133, 313)(134, 314)(135, 315)(136, 316)(137, 317)(138, 318)(139, 319)(140, 320)(141, 321)(142, 322)(143, 323)(144, 324)(145, 325)(146, 326)(147, 327)(148, 328)(149, 329)(150, 330)(151, 331)(152, 332)(153, 333)(154, 334)(155, 335)(156, 336)(157, 337)(158, 338)(159, 339)(160, 340)(161, 341)(162, 342)(163, 343)(164, 344)(165, 345)(166, 346)(167, 347)(168, 348)(169, 349)(170, 350)(171, 351)(172, 352)(173, 353)(174, 354)(175, 355)(176, 356)(177, 357)(178, 358)(179, 359)(180, 360)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2173
Graph:: bipartite
	v = 21 e = 180 f = 105
	degree seq :: [ 12^15, 30^6 ]

E28.2172 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 15})
Quotient :: dipole
Aut^+ = C3 x D30 (small group id <90, 7>)
Aut   = S3 x D30 (small group id <180, 29>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y1^-2 * Y2 * Y1 * Y2 * Y1^-1, Y2 * Y1 * Y2 * Y1^3, (Y2^-2 * Y1^-1)^2, (Y3^-1 * Y1^-1)^6, Y2^15 ]
Map::
	R = (1, 91, 2, 92, 6, 96, 16, 106, 12, 102, 4, 94)(3, 93, 9, 99, 17, 107, 13, 103, 21, 111, 8, 98)(5, 95, 11, 101, 18, 108, 7, 97, 19, 109, 14, 104)(10, 100, 24, 114, 29, 119, 22, 112, 33, 123, 23, 113)(15, 105, 27, 117, 30, 120, 26, 116, 31, 121, 20, 110)(25, 115, 34, 124, 41, 131, 35, 125, 45, 135, 36, 126)(28, 118, 32, 122, 42, 132, 39, 129, 43, 133, 38, 128)(37, 127, 47, 137, 53, 143, 48, 138, 57, 147, 46, 136)(40, 130, 50, 140, 54, 144, 44, 134, 55, 145, 51, 141)(49, 139, 60, 150, 65, 155, 58, 148, 69, 159, 59, 149)(52, 142, 63, 153, 66, 156, 62, 152, 67, 157, 56, 146)(61, 151, 70, 160, 77, 167, 71, 161, 81, 171, 72, 162)(64, 154, 68, 158, 78, 168, 75, 165, 79, 169, 74, 164)(73, 163, 83, 173, 87, 177, 84, 174, 90, 180, 82, 172)(76, 166, 85, 175, 88, 178, 80, 170, 89, 179, 86, 176)(181, 271, 183, 273, 190, 280, 205, 295, 217, 307, 229, 319, 241, 331, 253, 343, 256, 346, 244, 334, 232, 322, 220, 310, 208, 298, 195, 285, 185, 275)(182, 272, 187, 277, 200, 290, 212, 302, 224, 314, 236, 326, 248, 338, 260, 350, 262, 352, 250, 340, 238, 328, 226, 316, 214, 304, 202, 292, 188, 278)(184, 274, 191, 281, 206, 296, 218, 308, 230, 320, 242, 332, 254, 344, 265, 355, 264, 354, 252, 342, 240, 330, 228, 318, 216, 306, 204, 294, 193, 283)(186, 276, 197, 287, 209, 299, 221, 311, 233, 323, 245, 335, 257, 347, 267, 357, 268, 358, 258, 348, 246, 336, 234, 324, 222, 312, 210, 300, 198, 288)(189, 279, 196, 286, 194, 284, 207, 297, 219, 309, 231, 321, 243, 333, 255, 345, 266, 356, 263, 353, 251, 341, 239, 329, 227, 317, 215, 305, 203, 293)(192, 282, 201, 291, 213, 303, 225, 315, 237, 327, 249, 339, 261, 351, 270, 360, 269, 359, 259, 349, 247, 337, 235, 325, 223, 313, 211, 301, 199, 289)
	L = (1, 183)(2, 187)(3, 190)(4, 191)(5, 181)(6, 197)(7, 200)(8, 182)(9, 196)(10, 205)(11, 206)(12, 201)(13, 184)(14, 207)(15, 185)(16, 194)(17, 209)(18, 186)(19, 192)(20, 212)(21, 213)(22, 188)(23, 189)(24, 193)(25, 217)(26, 218)(27, 219)(28, 195)(29, 221)(30, 198)(31, 199)(32, 224)(33, 225)(34, 202)(35, 203)(36, 204)(37, 229)(38, 230)(39, 231)(40, 208)(41, 233)(42, 210)(43, 211)(44, 236)(45, 237)(46, 214)(47, 215)(48, 216)(49, 241)(50, 242)(51, 243)(52, 220)(53, 245)(54, 222)(55, 223)(56, 248)(57, 249)(58, 226)(59, 227)(60, 228)(61, 253)(62, 254)(63, 255)(64, 232)(65, 257)(66, 234)(67, 235)(68, 260)(69, 261)(70, 238)(71, 239)(72, 240)(73, 256)(74, 265)(75, 266)(76, 244)(77, 267)(78, 246)(79, 247)(80, 262)(81, 270)(82, 250)(83, 251)(84, 252)(85, 264)(86, 263)(87, 268)(88, 258)(89, 259)(90, 269)(91, 271)(92, 272)(93, 273)(94, 274)(95, 275)(96, 276)(97, 277)(98, 278)(99, 279)(100, 280)(101, 281)(102, 282)(103, 283)(104, 284)(105, 285)(106, 286)(107, 287)(108, 288)(109, 289)(110, 290)(111, 291)(112, 292)(113, 293)(114, 294)(115, 295)(116, 296)(117, 297)(118, 298)(119, 299)(120, 300)(121, 301)(122, 302)(123, 303)(124, 304)(125, 305)(126, 306)(127, 307)(128, 308)(129, 309)(130, 310)(131, 311)(132, 312)(133, 313)(134, 314)(135, 315)(136, 316)(137, 317)(138, 318)(139, 319)(140, 320)(141, 321)(142, 322)(143, 323)(144, 324)(145, 325)(146, 326)(147, 327)(148, 328)(149, 329)(150, 330)(151, 331)(152, 332)(153, 333)(154, 334)(155, 335)(156, 336)(157, 337)(158, 338)(159, 339)(160, 340)(161, 341)(162, 342)(163, 343)(164, 344)(165, 345)(166, 346)(167, 347)(168, 348)(169, 349)(170, 350)(171, 351)(172, 352)(173, 353)(174, 354)(175, 355)(176, 356)(177, 357)(178, 358)(179, 359)(180, 360)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2174
Graph:: bipartite
	v = 21 e = 180 f = 105
	degree seq :: [ 12^15, 30^6 ]

E28.2173 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 15})
Quotient :: dipole
Aut^+ = C3 x D30 (small group id <90, 7>)
Aut   = S3 x D30 (small group id <180, 29>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y3^-1 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y2^6, (Y3^-1 * Y1^-1)^15 ]
Map::
	R = (1, 91)(2, 92)(3, 93)(4, 94)(5, 95)(6, 96)(7, 97)(8, 98)(9, 99)(10, 100)(11, 101)(12, 102)(13, 103)(14, 104)(15, 105)(16, 106)(17, 107)(18, 108)(19, 109)(20, 110)(21, 111)(22, 112)(23, 113)(24, 114)(25, 115)(26, 116)(27, 117)(28, 118)(29, 119)(30, 120)(31, 121)(32, 122)(33, 123)(34, 124)(35, 125)(36, 126)(37, 127)(38, 128)(39, 129)(40, 130)(41, 131)(42, 132)(43, 133)(44, 134)(45, 135)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)(181, 271, 182, 272, 186, 276, 194, 284, 192, 282, 184, 274)(183, 273, 188, 278, 195, 285, 206, 296, 201, 291, 190, 280)(185, 275, 187, 277, 196, 286, 205, 295, 203, 293, 191, 281)(189, 279, 198, 288, 207, 297, 218, 308, 213, 303, 200, 290)(193, 283, 197, 287, 208, 298, 217, 307, 215, 305, 202, 292)(199, 289, 210, 300, 219, 309, 230, 320, 225, 315, 212, 302)(204, 294, 209, 299, 220, 310, 229, 319, 227, 317, 214, 304)(211, 301, 222, 312, 231, 321, 242, 332, 237, 327, 224, 314)(216, 306, 221, 311, 232, 322, 241, 331, 239, 329, 226, 316)(223, 313, 234, 324, 243, 333, 254, 344, 249, 339, 236, 326)(228, 318, 233, 323, 244, 334, 253, 343, 251, 341, 238, 328)(235, 325, 246, 336, 255, 345, 264, 354, 260, 350, 248, 338)(240, 330, 245, 335, 256, 346, 263, 353, 262, 352, 250, 340)(247, 337, 258, 348, 265, 355, 270, 360, 267, 357, 259, 349)(252, 342, 257, 347, 266, 356, 269, 359, 268, 358, 261, 351)
	L = (1, 183)(2, 187)(3, 189)(4, 191)(5, 181)(6, 195)(7, 197)(8, 182)(9, 199)(10, 184)(11, 202)(12, 201)(13, 185)(14, 205)(15, 207)(16, 186)(17, 209)(18, 188)(19, 211)(20, 190)(21, 213)(22, 214)(23, 192)(24, 193)(25, 217)(26, 194)(27, 219)(28, 196)(29, 221)(30, 198)(31, 223)(32, 200)(33, 225)(34, 226)(35, 203)(36, 204)(37, 229)(38, 206)(39, 231)(40, 208)(41, 233)(42, 210)(43, 235)(44, 212)(45, 237)(46, 238)(47, 215)(48, 216)(49, 241)(50, 218)(51, 243)(52, 220)(53, 245)(54, 222)(55, 247)(56, 224)(57, 249)(58, 250)(59, 227)(60, 228)(61, 253)(62, 230)(63, 255)(64, 232)(65, 257)(66, 234)(67, 252)(68, 236)(69, 260)(70, 261)(71, 239)(72, 240)(73, 263)(74, 242)(75, 265)(76, 244)(77, 258)(78, 246)(79, 248)(80, 267)(81, 259)(82, 251)(83, 269)(84, 254)(85, 266)(86, 256)(87, 268)(88, 262)(89, 270)(90, 264)(91, 271)(92, 272)(93, 273)(94, 274)(95, 275)(96, 276)(97, 277)(98, 278)(99, 279)(100, 280)(101, 281)(102, 282)(103, 283)(104, 284)(105, 285)(106, 286)(107, 287)(108, 288)(109, 289)(110, 290)(111, 291)(112, 292)(113, 293)(114, 294)(115, 295)(116, 296)(117, 297)(118, 298)(119, 299)(120, 300)(121, 301)(122, 302)(123, 303)(124, 304)(125, 305)(126, 306)(127, 307)(128, 308)(129, 309)(130, 310)(131, 311)(132, 312)(133, 313)(134, 314)(135, 315)(136, 316)(137, 317)(138, 318)(139, 319)(140, 320)(141, 321)(142, 322)(143, 323)(144, 324)(145, 325)(146, 326)(147, 327)(148, 328)(149, 329)(150, 330)(151, 331)(152, 332)(153, 333)(154, 334)(155, 335)(156, 336)(157, 337)(158, 338)(159, 339)(160, 340)(161, 341)(162, 342)(163, 343)(164, 344)(165, 345)(166, 346)(167, 347)(168, 348)(169, 349)(170, 350)(171, 351)(172, 352)(173, 353)(174, 354)(175, 355)(176, 356)(177, 357)(178, 358)(179, 359)(180, 360)
	local type(s) :: { ( 12, 30 ), ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ) }
Outer automorphisms :: reflexible
Dual of E28.2171
Graph:: simple bipartite
	v = 105 e = 180 f = 21
	degree seq :: [ 2^90, 12^15 ]

E28.2174 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 15})
Quotient :: dipole
Aut^+ = C3 x D30 (small group id <90, 7>)
Aut   = S3 x D30 (small group id <180, 29>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y3^-1 * Y2^-1)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-2, Y3^-1 * Y2^3 * Y3^-1 * Y2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^15 ]
Map::
	R = (1, 91)(2, 92)(3, 93)(4, 94)(5, 95)(6, 96)(7, 97)(8, 98)(9, 99)(10, 100)(11, 101)(12, 102)(13, 103)(14, 104)(15, 105)(16, 106)(17, 107)(18, 108)(19, 109)(20, 110)(21, 111)(22, 112)(23, 113)(24, 114)(25, 115)(26, 116)(27, 117)(28, 118)(29, 119)(30, 120)(31, 121)(32, 122)(33, 123)(34, 124)(35, 125)(36, 126)(37, 127)(38, 128)(39, 129)(40, 130)(41, 131)(42, 132)(43, 133)(44, 134)(45, 135)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)(181, 271, 182, 272, 186, 276, 196, 286, 193, 283, 184, 274)(183, 273, 189, 279, 197, 287, 188, 278, 201, 291, 191, 281)(185, 275, 194, 284, 198, 288, 192, 282, 200, 290, 187, 277)(190, 280, 204, 294, 209, 299, 203, 293, 213, 303, 202, 292)(195, 285, 206, 296, 210, 300, 199, 289, 211, 301, 207, 297)(205, 295, 214, 304, 221, 311, 216, 306, 225, 315, 215, 305)(208, 298, 212, 302, 222, 312, 219, 309, 223, 313, 218, 308)(217, 307, 227, 317, 233, 323, 226, 316, 237, 327, 228, 318)(220, 310, 231, 321, 234, 324, 230, 320, 235, 325, 224, 314)(229, 319, 240, 330, 245, 335, 239, 329, 249, 339, 238, 328)(232, 322, 242, 332, 246, 336, 236, 326, 247, 337, 243, 333)(241, 331, 250, 340, 257, 347, 252, 342, 261, 351, 251, 341)(244, 334, 248, 338, 258, 348, 255, 345, 259, 349, 254, 344)(253, 343, 263, 353, 267, 357, 262, 352, 270, 360, 264, 354)(256, 346, 266, 356, 268, 358, 265, 355, 269, 359, 260, 350)
	L = (1, 183)(2, 187)(3, 190)(4, 192)(5, 181)(6, 197)(7, 199)(8, 182)(9, 184)(10, 205)(11, 196)(12, 206)(13, 201)(14, 207)(15, 185)(16, 194)(17, 209)(18, 186)(19, 212)(20, 193)(21, 213)(22, 188)(23, 189)(24, 191)(25, 217)(26, 218)(27, 219)(28, 195)(29, 221)(30, 198)(31, 200)(32, 224)(33, 225)(34, 202)(35, 203)(36, 204)(37, 229)(38, 230)(39, 231)(40, 208)(41, 233)(42, 210)(43, 211)(44, 236)(45, 237)(46, 214)(47, 215)(48, 216)(49, 241)(50, 242)(51, 243)(52, 220)(53, 245)(54, 222)(55, 223)(56, 248)(57, 249)(58, 226)(59, 227)(60, 228)(61, 253)(62, 254)(63, 255)(64, 232)(65, 257)(66, 234)(67, 235)(68, 260)(69, 261)(70, 238)(71, 239)(72, 240)(73, 256)(74, 265)(75, 266)(76, 244)(77, 267)(78, 246)(79, 247)(80, 262)(81, 270)(82, 250)(83, 251)(84, 252)(85, 263)(86, 264)(87, 268)(88, 258)(89, 259)(90, 269)(91, 271)(92, 272)(93, 273)(94, 274)(95, 275)(96, 276)(97, 277)(98, 278)(99, 279)(100, 280)(101, 281)(102, 282)(103, 283)(104, 284)(105, 285)(106, 286)(107, 287)(108, 288)(109, 289)(110, 290)(111, 291)(112, 292)(113, 293)(114, 294)(115, 295)(116, 296)(117, 297)(118, 298)(119, 299)(120, 300)(121, 301)(122, 302)(123, 303)(124, 304)(125, 305)(126, 306)(127, 307)(128, 308)(129, 309)(130, 310)(131, 311)(132, 312)(133, 313)(134, 314)(135, 315)(136, 316)(137, 317)(138, 318)(139, 319)(140, 320)(141, 321)(142, 322)(143, 323)(144, 324)(145, 325)(146, 326)(147, 327)(148, 328)(149, 329)(150, 330)(151, 331)(152, 332)(153, 333)(154, 334)(155, 335)(156, 336)(157, 337)(158, 338)(159, 339)(160, 340)(161, 341)(162, 342)(163, 343)(164, 344)(165, 345)(166, 346)(167, 347)(168, 348)(169, 349)(170, 350)(171, 351)(172, 352)(173, 353)(174, 354)(175, 355)(176, 356)(177, 357)(178, 358)(179, 359)(180, 360)
	local type(s) :: { ( 12, 30 ), ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ) }
Outer automorphisms :: reflexible
Dual of E28.2172
Graph:: simple bipartite
	v = 105 e = 180 f = 21
	degree seq :: [ 2^90, 12^15 ]

E28.2175 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 30, 30})
Quotient :: edge
Aut^+ = C15 x S3 (small group id <90, 6>)
Aut   = S3 x D30 (small group id <180, 29>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2 * T1^-1 * T2^-1 * T1^-1, T2^30 ]
Map:: non-degenerate
	R = (1, 3, 9, 15, 21, 27, 33, 39, 45, 51, 57, 63, 69, 75, 81, 87, 83, 77, 71, 65, 59, 53, 47, 41, 35, 29, 23, 17, 11, 5)(2, 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 89, 85, 79, 73, 67, 61, 55, 49, 43, 37, 31, 25, 19, 13, 7)(4, 8, 14, 20, 26, 32, 38, 44, 50, 56, 62, 68, 74, 80, 86, 90, 88, 82, 76, 70, 64, 58, 52, 46, 40, 34, 28, 22, 16, 10)(91, 92, 94)(93, 98, 96)(95, 100, 97)(99, 102, 104)(101, 103, 106)(105, 110, 108)(107, 112, 109)(111, 114, 116)(113, 115, 118)(117, 122, 120)(119, 124, 121)(123, 126, 128)(125, 127, 130)(129, 134, 132)(131, 136, 133)(135, 138, 140)(137, 139, 142)(141, 146, 144)(143, 148, 145)(147, 150, 152)(149, 151, 154)(153, 158, 156)(155, 160, 157)(159, 162, 164)(161, 163, 166)(165, 170, 168)(167, 172, 169)(171, 174, 176)(173, 175, 178)(177, 180, 179)
	L = (1, 91)(2, 92)(3, 93)(4, 94)(5, 95)(6, 96)(7, 97)(8, 98)(9, 99)(10, 100)(11, 101)(12, 102)(13, 103)(14, 104)(15, 105)(16, 106)(17, 107)(18, 108)(19, 109)(20, 110)(21, 111)(22, 112)(23, 113)(24, 114)(25, 115)(26, 116)(27, 117)(28, 118)(29, 119)(30, 120)(31, 121)(32, 122)(33, 123)(34, 124)(35, 125)(36, 126)(37, 127)(38, 128)(39, 129)(40, 130)(41, 131)(42, 132)(43, 133)(44, 134)(45, 135)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 60^3 ), ( 60^30 ) }
Outer automorphisms :: reflexible
Dual of E28.2177
Transitivity :: ET+
Graph:: simple bipartite
	v = 33 e = 90 f = 3
	degree seq :: [ 3^30, 30^3 ]

E28.2176 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 30, 30})
Quotient :: edge
Aut^+ = C15 x S3 (small group id <90, 6>)
Aut   = S3 x D30 (small group id <180, 29>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-2 * T1^-1 * T2, (T1, T2^-1, T1^-1), T2^2 * T1 * T2 * T1 * T2^-3 * T1^-1 * T2^-1 * T1^-1 * T2, T2^-2 * T1^-1 * T2^-7 * T1^-1 * T2^-1, (T2^-1 * T1^-1)^30 ]
Map:: non-degenerate
	R = (1, 3, 9, 24, 47, 66, 84, 71, 53, 31, 51, 29, 50, 69, 87, 90, 79, 61, 41, 19, 37, 16, 36, 58, 76, 75, 57, 35, 15, 5)(2, 6, 17, 38, 59, 77, 74, 56, 34, 14, 27, 10, 26, 48, 68, 85, 88, 70, 52, 30, 46, 28, 45, 65, 83, 81, 63, 43, 21, 7)(4, 11, 25, 49, 67, 86, 80, 62, 42, 20, 40, 18, 39, 60, 78, 89, 73, 55, 33, 13, 23, 8, 22, 44, 64, 82, 72, 54, 32, 12)(91, 92, 94)(93, 98, 100)(95, 103, 104)(96, 106, 108)(97, 109, 110)(99, 107, 115)(101, 118, 119)(102, 120, 121)(105, 111, 122)(112, 126, 135)(113, 127, 136)(114, 134, 138)(116, 129, 140)(117, 130, 141)(123, 131, 142)(124, 132, 143)(125, 145, 146)(128, 148, 150)(133, 151, 152)(137, 149, 157)(139, 155, 159)(144, 160, 161)(147, 153, 162)(154, 166, 173)(156, 172, 175)(158, 168, 177)(163, 169, 178)(164, 170, 174)(165, 179, 167)(171, 180, 176)
	L = (1, 91)(2, 92)(3, 93)(4, 94)(5, 95)(6, 96)(7, 97)(8, 98)(9, 99)(10, 100)(11, 101)(12, 102)(13, 103)(14, 104)(15, 105)(16, 106)(17, 107)(18, 108)(19, 109)(20, 110)(21, 111)(22, 112)(23, 113)(24, 114)(25, 115)(26, 116)(27, 117)(28, 118)(29, 119)(30, 120)(31, 121)(32, 122)(33, 123)(34, 124)(35, 125)(36, 126)(37, 127)(38, 128)(39, 129)(40, 130)(41, 131)(42, 132)(43, 133)(44, 134)(45, 135)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 60^3 ), ( 60^30 ) }
Outer automorphisms :: reflexible
Dual of E28.2178
Transitivity :: ET+
Graph:: simple bipartite
	v = 33 e = 90 f = 3
	degree seq :: [ 3^30, 30^3 ]

E28.2177 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 30, 30})
Quotient :: loop
Aut^+ = C15 x S3 (small group id <90, 6>)
Aut   = S3 x D30 (small group id <180, 29>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2 * T1^-1 * T2^-1 * T1^-1, T2^30 ]
Map:: non-degenerate
	R = (1, 91, 3, 93, 9, 99, 15, 105, 21, 111, 27, 117, 33, 123, 39, 129, 45, 135, 51, 141, 57, 147, 63, 153, 69, 159, 75, 165, 81, 171, 87, 177, 83, 173, 77, 167, 71, 161, 65, 155, 59, 149, 53, 143, 47, 137, 41, 131, 35, 125, 29, 119, 23, 113, 17, 107, 11, 101, 5, 95)(2, 92, 6, 96, 12, 102, 18, 108, 24, 114, 30, 120, 36, 126, 42, 132, 48, 138, 54, 144, 60, 150, 66, 156, 72, 162, 78, 168, 84, 174, 89, 179, 85, 175, 79, 169, 73, 163, 67, 157, 61, 151, 55, 145, 49, 139, 43, 133, 37, 127, 31, 121, 25, 115, 19, 109, 13, 103, 7, 97)(4, 94, 8, 98, 14, 104, 20, 110, 26, 116, 32, 122, 38, 128, 44, 134, 50, 140, 56, 146, 62, 152, 68, 158, 74, 164, 80, 170, 86, 176, 90, 180, 88, 178, 82, 172, 76, 166, 70, 160, 64, 154, 58, 148, 52, 142, 46, 136, 40, 130, 34, 124, 28, 118, 22, 112, 16, 106, 10, 100)
	L = (1, 92)(2, 94)(3, 98)(4, 91)(5, 100)(6, 93)(7, 95)(8, 96)(9, 102)(10, 97)(11, 103)(12, 104)(13, 106)(14, 99)(15, 110)(16, 101)(17, 112)(18, 105)(19, 107)(20, 108)(21, 114)(22, 109)(23, 115)(24, 116)(25, 118)(26, 111)(27, 122)(28, 113)(29, 124)(30, 117)(31, 119)(32, 120)(33, 126)(34, 121)(35, 127)(36, 128)(37, 130)(38, 123)(39, 134)(40, 125)(41, 136)(42, 129)(43, 131)(44, 132)(45, 138)(46, 133)(47, 139)(48, 140)(49, 142)(50, 135)(51, 146)(52, 137)(53, 148)(54, 141)(55, 143)(56, 144)(57, 150)(58, 145)(59, 151)(60, 152)(61, 154)(62, 147)(63, 158)(64, 149)(65, 160)(66, 153)(67, 155)(68, 156)(69, 162)(70, 157)(71, 163)(72, 164)(73, 166)(74, 159)(75, 170)(76, 161)(77, 172)(78, 165)(79, 167)(80, 168)(81, 174)(82, 169)(83, 175)(84, 176)(85, 178)(86, 171)(87, 180)(88, 173)(89, 177)(90, 179)
	local type(s) :: { ( 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30 ) }
Outer automorphisms :: reflexible
Dual of E28.2175
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 90 f = 33
	degree seq :: [ 60^3 ]

E28.2178 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 30, 30})
Quotient :: loop
Aut^+ = C15 x S3 (small group id <90, 6>)
Aut   = S3 x D30 (small group id <180, 29>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-2 * T1^-1 * T2, (T1, T2^-1, T1^-1), T2^2 * T1 * T2 * T1 * T2^-3 * T1^-1 * T2^-1 * T1^-1 * T2, T2^-2 * T1^-1 * T2^-7 * T1^-1 * T2^-1, (T2^-1 * T1^-1)^30 ]
Map:: non-degenerate
	R = (1, 91, 3, 93, 9, 99, 24, 114, 47, 137, 66, 156, 84, 174, 71, 161, 53, 143, 31, 121, 51, 141, 29, 119, 50, 140, 69, 159, 87, 177, 90, 180, 79, 169, 61, 151, 41, 131, 19, 109, 37, 127, 16, 106, 36, 126, 58, 148, 76, 166, 75, 165, 57, 147, 35, 125, 15, 105, 5, 95)(2, 92, 6, 96, 17, 107, 38, 128, 59, 149, 77, 167, 74, 164, 56, 146, 34, 124, 14, 104, 27, 117, 10, 100, 26, 116, 48, 138, 68, 158, 85, 175, 88, 178, 70, 160, 52, 142, 30, 120, 46, 136, 28, 118, 45, 135, 65, 155, 83, 173, 81, 171, 63, 153, 43, 133, 21, 111, 7, 97)(4, 94, 11, 101, 25, 115, 49, 139, 67, 157, 86, 176, 80, 170, 62, 152, 42, 132, 20, 110, 40, 130, 18, 108, 39, 129, 60, 150, 78, 168, 89, 179, 73, 163, 55, 145, 33, 123, 13, 103, 23, 113, 8, 98, 22, 112, 44, 134, 64, 154, 82, 172, 72, 162, 54, 144, 32, 122, 12, 102)
	L = (1, 92)(2, 94)(3, 98)(4, 91)(5, 103)(6, 106)(7, 109)(8, 100)(9, 107)(10, 93)(11, 118)(12, 120)(13, 104)(14, 95)(15, 111)(16, 108)(17, 115)(18, 96)(19, 110)(20, 97)(21, 122)(22, 126)(23, 127)(24, 134)(25, 99)(26, 129)(27, 130)(28, 119)(29, 101)(30, 121)(31, 102)(32, 105)(33, 131)(34, 132)(35, 145)(36, 135)(37, 136)(38, 148)(39, 140)(40, 141)(41, 142)(42, 143)(43, 151)(44, 138)(45, 112)(46, 113)(47, 149)(48, 114)(49, 155)(50, 116)(51, 117)(52, 123)(53, 124)(54, 160)(55, 146)(56, 125)(57, 153)(58, 150)(59, 157)(60, 128)(61, 152)(62, 133)(63, 162)(64, 166)(65, 159)(66, 172)(67, 137)(68, 168)(69, 139)(70, 161)(71, 144)(72, 147)(73, 169)(74, 170)(75, 179)(76, 173)(77, 165)(78, 177)(79, 178)(80, 174)(81, 180)(82, 175)(83, 154)(84, 164)(85, 156)(86, 171)(87, 158)(88, 163)(89, 167)(90, 176)
	local type(s) :: { ( 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30 ) }
Outer automorphisms :: reflexible
Dual of E28.2176
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 90 f = 33
	degree seq :: [ 60^3 ]

E28.2179 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 30, 30})
Quotient :: dipole
Aut^+ = C15 x S3 (small group id <90, 6>)
Aut   = S3 x D30 (small group id <180, 29>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^3, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y2 * Y3^-1, Y3 * Y2 * Y1^-1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2^30, Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 91, 2, 92, 4, 94)(3, 93, 8, 98, 6, 96)(5, 95, 10, 100, 7, 97)(9, 99, 12, 102, 14, 104)(11, 101, 13, 103, 16, 106)(15, 105, 20, 110, 18, 108)(17, 107, 22, 112, 19, 109)(21, 111, 24, 114, 26, 116)(23, 113, 25, 115, 28, 118)(27, 117, 32, 122, 30, 120)(29, 119, 34, 124, 31, 121)(33, 123, 36, 126, 38, 128)(35, 125, 37, 127, 40, 130)(39, 129, 44, 134, 42, 132)(41, 131, 46, 136, 43, 133)(45, 135, 48, 138, 50, 140)(47, 137, 49, 139, 52, 142)(51, 141, 56, 146, 54, 144)(53, 143, 58, 148, 55, 145)(57, 147, 60, 150, 62, 152)(59, 149, 61, 151, 64, 154)(63, 153, 68, 158, 66, 156)(65, 155, 70, 160, 67, 157)(69, 159, 72, 162, 74, 164)(71, 161, 73, 163, 76, 166)(75, 165, 80, 170, 78, 168)(77, 167, 82, 172, 79, 169)(81, 171, 84, 174, 86, 176)(83, 173, 85, 175, 88, 178)(87, 177, 90, 180, 89, 179)(181, 271, 183, 273, 189, 279, 195, 285, 201, 291, 207, 297, 213, 303, 219, 309, 225, 315, 231, 321, 237, 327, 243, 333, 249, 339, 255, 345, 261, 351, 267, 357, 263, 353, 257, 347, 251, 341, 245, 335, 239, 329, 233, 323, 227, 317, 221, 311, 215, 305, 209, 299, 203, 293, 197, 287, 191, 281, 185, 275)(182, 272, 186, 276, 192, 282, 198, 288, 204, 294, 210, 300, 216, 306, 222, 312, 228, 318, 234, 324, 240, 330, 246, 336, 252, 342, 258, 348, 264, 354, 269, 359, 265, 355, 259, 349, 253, 343, 247, 337, 241, 331, 235, 325, 229, 319, 223, 313, 217, 307, 211, 301, 205, 295, 199, 289, 193, 283, 187, 277)(184, 274, 188, 278, 194, 284, 200, 290, 206, 296, 212, 302, 218, 308, 224, 314, 230, 320, 236, 326, 242, 332, 248, 338, 254, 344, 260, 350, 266, 356, 270, 360, 268, 358, 262, 352, 256, 346, 250, 340, 244, 334, 238, 328, 232, 322, 226, 316, 220, 310, 214, 304, 208, 298, 202, 292, 196, 286, 190, 280)
	L = (1, 184)(2, 181)(3, 186)(4, 182)(5, 187)(6, 188)(7, 190)(8, 183)(9, 194)(10, 185)(11, 196)(12, 189)(13, 191)(14, 192)(15, 198)(16, 193)(17, 199)(18, 200)(19, 202)(20, 195)(21, 206)(22, 197)(23, 208)(24, 201)(25, 203)(26, 204)(27, 210)(28, 205)(29, 211)(30, 212)(31, 214)(32, 207)(33, 218)(34, 209)(35, 220)(36, 213)(37, 215)(38, 216)(39, 222)(40, 217)(41, 223)(42, 224)(43, 226)(44, 219)(45, 230)(46, 221)(47, 232)(48, 225)(49, 227)(50, 228)(51, 234)(52, 229)(53, 235)(54, 236)(55, 238)(56, 231)(57, 242)(58, 233)(59, 244)(60, 237)(61, 239)(62, 240)(63, 246)(64, 241)(65, 247)(66, 248)(67, 250)(68, 243)(69, 254)(70, 245)(71, 256)(72, 249)(73, 251)(74, 252)(75, 258)(76, 253)(77, 259)(78, 260)(79, 262)(80, 255)(81, 266)(82, 257)(83, 268)(84, 261)(85, 263)(86, 264)(87, 269)(88, 265)(89, 270)(90, 267)(91, 271)(92, 272)(93, 273)(94, 274)(95, 275)(96, 276)(97, 277)(98, 278)(99, 279)(100, 280)(101, 281)(102, 282)(103, 283)(104, 284)(105, 285)(106, 286)(107, 287)(108, 288)(109, 289)(110, 290)(111, 291)(112, 292)(113, 293)(114, 294)(115, 295)(116, 296)(117, 297)(118, 298)(119, 299)(120, 300)(121, 301)(122, 302)(123, 303)(124, 304)(125, 305)(126, 306)(127, 307)(128, 308)(129, 309)(130, 310)(131, 311)(132, 312)(133, 313)(134, 314)(135, 315)(136, 316)(137, 317)(138, 318)(139, 319)(140, 320)(141, 321)(142, 322)(143, 323)(144, 324)(145, 325)(146, 326)(147, 327)(148, 328)(149, 329)(150, 330)(151, 331)(152, 332)(153, 333)(154, 334)(155, 335)(156, 336)(157, 337)(158, 338)(159, 339)(160, 340)(161, 341)(162, 342)(163, 343)(164, 344)(165, 345)(166, 346)(167, 347)(168, 348)(169, 349)(170, 350)(171, 351)(172, 352)(173, 353)(174, 354)(175, 355)(176, 356)(177, 357)(178, 358)(179, 359)(180, 360)
	local type(s) :: { ( 2, 60, 2, 60, 2, 60 ), ( 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.2181
Graph:: bipartite
	v = 33 e = 180 f = 93
	degree seq :: [ 6^30, 60^3 ]

E28.2180 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 30, 30})
Quotient :: dipole
Aut^+ = C15 x S3 (small group id <90, 6>)
Aut   = S3 x D30 (small group id <180, 29>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y3 * Y1^-1 * Y3, Y1^3, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3^-1 * Y2^2 * Y3 * Y2^-1, Y2^-1 * Y1^-1 * Y2^2 * Y1 * Y2^-1, (R * Y2 * Y3^-1)^2, (Y2^-1 * R * Y2^-1)^2, Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y1 * Y2 * Y3 * Y2^-1 * Y1^-1 * Y2 * Y3^-1, Y3 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1 * Y2^-1, Y2 * Y1 * Y2 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1, Y2^-2 * Y3 * Y2^-7 * Y1^-1 * Y2^-1, (Y3 * Y2^-1)^30 ]
Map::
	R = (1, 91, 2, 92, 4, 94)(3, 93, 8, 98, 10, 100)(5, 95, 13, 103, 14, 104)(6, 96, 16, 106, 18, 108)(7, 97, 19, 109, 20, 110)(9, 99, 17, 107, 25, 115)(11, 101, 28, 118, 29, 119)(12, 102, 30, 120, 31, 121)(15, 105, 21, 111, 32, 122)(22, 112, 36, 126, 45, 135)(23, 113, 37, 127, 46, 136)(24, 114, 44, 134, 48, 138)(26, 116, 39, 129, 50, 140)(27, 117, 40, 130, 51, 141)(33, 123, 41, 131, 52, 142)(34, 124, 42, 132, 53, 143)(35, 125, 55, 145, 56, 146)(38, 128, 58, 148, 60, 150)(43, 133, 61, 151, 62, 152)(47, 137, 59, 149, 67, 157)(49, 139, 65, 155, 69, 159)(54, 144, 70, 160, 71, 161)(57, 147, 63, 153, 72, 162)(64, 154, 76, 166, 83, 173)(66, 156, 82, 172, 85, 175)(68, 158, 78, 168, 87, 177)(73, 163, 79, 169, 88, 178)(74, 164, 80, 170, 84, 174)(75, 165, 89, 179, 77, 167)(81, 171, 90, 180, 86, 176)(181, 271, 183, 273, 189, 279, 204, 294, 227, 317, 246, 336, 264, 354, 251, 341, 233, 323, 211, 301, 231, 321, 209, 299, 230, 320, 249, 339, 267, 357, 270, 360, 259, 349, 241, 331, 221, 311, 199, 289, 217, 307, 196, 286, 216, 306, 238, 328, 256, 346, 255, 345, 237, 327, 215, 305, 195, 285, 185, 275)(182, 272, 186, 276, 197, 287, 218, 308, 239, 329, 257, 347, 254, 344, 236, 326, 214, 304, 194, 284, 207, 297, 190, 280, 206, 296, 228, 318, 248, 338, 265, 355, 268, 358, 250, 340, 232, 322, 210, 300, 226, 316, 208, 298, 225, 315, 245, 335, 263, 353, 261, 351, 243, 333, 223, 313, 201, 291, 187, 277)(184, 274, 191, 281, 205, 295, 229, 319, 247, 337, 266, 356, 260, 350, 242, 332, 222, 312, 200, 290, 220, 310, 198, 288, 219, 309, 240, 330, 258, 348, 269, 359, 253, 343, 235, 325, 213, 303, 193, 283, 203, 293, 188, 278, 202, 292, 224, 314, 244, 334, 262, 352, 252, 342, 234, 324, 212, 302, 192, 282)
	L = (1, 184)(2, 181)(3, 190)(4, 182)(5, 194)(6, 198)(7, 200)(8, 183)(9, 205)(10, 188)(11, 209)(12, 211)(13, 185)(14, 193)(15, 212)(16, 186)(17, 189)(18, 196)(19, 187)(20, 199)(21, 195)(22, 225)(23, 226)(24, 228)(25, 197)(26, 230)(27, 231)(28, 191)(29, 208)(30, 192)(31, 210)(32, 201)(33, 232)(34, 233)(35, 236)(36, 202)(37, 203)(38, 240)(39, 206)(40, 207)(41, 213)(42, 214)(43, 242)(44, 204)(45, 216)(46, 217)(47, 247)(48, 224)(49, 249)(50, 219)(51, 220)(52, 221)(53, 222)(54, 251)(55, 215)(56, 235)(57, 252)(58, 218)(59, 227)(60, 238)(61, 223)(62, 241)(63, 237)(64, 263)(65, 229)(66, 265)(67, 239)(68, 267)(69, 245)(70, 234)(71, 250)(72, 243)(73, 268)(74, 264)(75, 257)(76, 244)(77, 269)(78, 248)(79, 253)(80, 254)(81, 266)(82, 246)(83, 256)(84, 260)(85, 262)(86, 270)(87, 258)(88, 259)(89, 255)(90, 261)(91, 271)(92, 272)(93, 273)(94, 274)(95, 275)(96, 276)(97, 277)(98, 278)(99, 279)(100, 280)(101, 281)(102, 282)(103, 283)(104, 284)(105, 285)(106, 286)(107, 287)(108, 288)(109, 289)(110, 290)(111, 291)(112, 292)(113, 293)(114, 294)(115, 295)(116, 296)(117, 297)(118, 298)(119, 299)(120, 300)(121, 301)(122, 302)(123, 303)(124, 304)(125, 305)(126, 306)(127, 307)(128, 308)(129, 309)(130, 310)(131, 311)(132, 312)(133, 313)(134, 314)(135, 315)(136, 316)(137, 317)(138, 318)(139, 319)(140, 320)(141, 321)(142, 322)(143, 323)(144, 324)(145, 325)(146, 326)(147, 327)(148, 328)(149, 329)(150, 330)(151, 331)(152, 332)(153, 333)(154, 334)(155, 335)(156, 336)(157, 337)(158, 338)(159, 339)(160, 340)(161, 341)(162, 342)(163, 343)(164, 344)(165, 345)(166, 346)(167, 347)(168, 348)(169, 349)(170, 350)(171, 351)(172, 352)(173, 353)(174, 354)(175, 355)(176, 356)(177, 357)(178, 358)(179, 359)(180, 360)
	local type(s) :: { ( 2, 60, 2, 60, 2, 60 ), ( 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.2182
Graph:: bipartite
	v = 33 e = 180 f = 93
	degree seq :: [ 6^30, 60^3 ]

E28.2181 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 30, 30})
Quotient :: dipole
Aut^+ = C15 x S3 (small group id <90, 6>)
Aut   = S3 x D30 (small group id <180, 29>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y3^-1 * Y1 * Y3^-1, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y1^30 ]
Map::
	R = (1, 91, 2, 92, 6, 96, 12, 102, 18, 108, 24, 114, 30, 120, 36, 126, 42, 132, 48, 138, 54, 144, 60, 150, 66, 156, 72, 162, 78, 168, 84, 174, 83, 173, 77, 167, 71, 161, 65, 155, 59, 149, 53, 143, 47, 137, 41, 131, 35, 125, 29, 119, 23, 113, 17, 107, 11, 101, 4, 94)(3, 93, 8, 98, 13, 103, 20, 110, 25, 115, 32, 122, 37, 127, 44, 134, 49, 139, 56, 146, 61, 151, 68, 158, 73, 163, 80, 170, 85, 175, 90, 180, 87, 177, 81, 171, 75, 165, 69, 159, 63, 153, 57, 147, 51, 141, 45, 135, 39, 129, 33, 123, 27, 117, 21, 111, 15, 105, 9, 99)(5, 95, 7, 97, 14, 104, 19, 109, 26, 116, 31, 121, 38, 128, 43, 133, 50, 140, 55, 145, 62, 152, 67, 157, 74, 164, 79, 169, 86, 176, 89, 179, 88, 178, 82, 172, 76, 166, 70, 160, 64, 154, 58, 148, 52, 142, 46, 136, 40, 130, 34, 124, 28, 118, 22, 112, 16, 106, 10, 100)(181, 271)(182, 272)(183, 273)(184, 274)(185, 275)(186, 276)(187, 277)(188, 278)(189, 279)(190, 280)(191, 281)(192, 282)(193, 283)(194, 284)(195, 285)(196, 286)(197, 287)(198, 288)(199, 289)(200, 290)(201, 291)(202, 292)(203, 293)(204, 294)(205, 295)(206, 296)(207, 297)(208, 298)(209, 299)(210, 300)(211, 301)(212, 302)(213, 303)(214, 304)(215, 305)(216, 306)(217, 307)(218, 308)(219, 309)(220, 310)(221, 311)(222, 312)(223, 313)(224, 314)(225, 315)(226, 316)(227, 317)(228, 318)(229, 319)(230, 320)(231, 321)(232, 322)(233, 323)(234, 324)(235, 325)(236, 326)(237, 327)(238, 328)(239, 329)(240, 330)(241, 331)(242, 332)(243, 333)(244, 334)(245, 335)(246, 336)(247, 337)(248, 338)(249, 339)(250, 340)(251, 341)(252, 342)(253, 343)(254, 344)(255, 345)(256, 346)(257, 347)(258, 348)(259, 349)(260, 350)(261, 351)(262, 352)(263, 353)(264, 354)(265, 355)(266, 356)(267, 357)(268, 358)(269, 359)(270, 360)
	L = (1, 183)(2, 187)(3, 185)(4, 190)(5, 181)(6, 193)(7, 188)(8, 182)(9, 184)(10, 189)(11, 195)(12, 199)(13, 194)(14, 186)(15, 196)(16, 191)(17, 202)(18, 205)(19, 200)(20, 192)(21, 197)(22, 201)(23, 207)(24, 211)(25, 206)(26, 198)(27, 208)(28, 203)(29, 214)(30, 217)(31, 212)(32, 204)(33, 209)(34, 213)(35, 219)(36, 223)(37, 218)(38, 210)(39, 220)(40, 215)(41, 226)(42, 229)(43, 224)(44, 216)(45, 221)(46, 225)(47, 231)(48, 235)(49, 230)(50, 222)(51, 232)(52, 227)(53, 238)(54, 241)(55, 236)(56, 228)(57, 233)(58, 237)(59, 243)(60, 247)(61, 242)(62, 234)(63, 244)(64, 239)(65, 250)(66, 253)(67, 248)(68, 240)(69, 245)(70, 249)(71, 255)(72, 259)(73, 254)(74, 246)(75, 256)(76, 251)(77, 262)(78, 265)(79, 260)(80, 252)(81, 257)(82, 261)(83, 267)(84, 269)(85, 266)(86, 258)(87, 268)(88, 263)(89, 270)(90, 264)(91, 271)(92, 272)(93, 273)(94, 274)(95, 275)(96, 276)(97, 277)(98, 278)(99, 279)(100, 280)(101, 281)(102, 282)(103, 283)(104, 284)(105, 285)(106, 286)(107, 287)(108, 288)(109, 289)(110, 290)(111, 291)(112, 292)(113, 293)(114, 294)(115, 295)(116, 296)(117, 297)(118, 298)(119, 299)(120, 300)(121, 301)(122, 302)(123, 303)(124, 304)(125, 305)(126, 306)(127, 307)(128, 308)(129, 309)(130, 310)(131, 311)(132, 312)(133, 313)(134, 314)(135, 315)(136, 316)(137, 317)(138, 318)(139, 319)(140, 320)(141, 321)(142, 322)(143, 323)(144, 324)(145, 325)(146, 326)(147, 327)(148, 328)(149, 329)(150, 330)(151, 331)(152, 332)(153, 333)(154, 334)(155, 335)(156, 336)(157, 337)(158, 338)(159, 339)(160, 340)(161, 341)(162, 342)(163, 343)(164, 344)(165, 345)(166, 346)(167, 347)(168, 348)(169, 349)(170, 350)(171, 351)(172, 352)(173, 353)(174, 354)(175, 355)(176, 356)(177, 357)(178, 358)(179, 359)(180, 360)
	local type(s) :: { ( 6, 60 ), ( 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.2179
Graph:: simple bipartite
	v = 93 e = 180 f = 33
	degree seq :: [ 2^90, 60^3 ]

E28.2182 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 30, 30})
Quotient :: dipole
Aut^+ = C15 x S3 (small group id <90, 6>)
Aut   = S3 x D30 (small group id <180, 29>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^-2 * Y3 * Y1^2, (Y3 * Y2^-1)^3, Y3^-2 * Y1^-2 * Y3^-1 * Y1^2, Y3^-2 * Y1^-1 * Y3^-3 * Y1 * Y3^-1, Y1^-1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1, Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1, Y1^-3 * Y3^-1 * Y1^-3 * Y3^-1 * Y1^-4, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map::
	R = (1, 91, 2, 92, 6, 96, 16, 106, 36, 126, 58, 148, 76, 166, 75, 165, 57, 147, 35, 125, 48, 138, 33, 123, 46, 136, 66, 156, 84, 174, 90, 180, 85, 175, 67, 157, 49, 139, 25, 115, 43, 133, 23, 113, 41, 131, 63, 153, 81, 171, 72, 162, 54, 144, 29, 119, 12, 102, 4, 94)(3, 93, 9, 99, 17, 107, 39, 129, 59, 149, 79, 169, 74, 164, 55, 145, 31, 121, 13, 103, 22, 112, 8, 98, 21, 111, 38, 128, 62, 152, 78, 168, 89, 179, 71, 161, 53, 143, 34, 124, 44, 134, 32, 122, 42, 132, 65, 155, 82, 172, 86, 176, 68, 158, 50, 140, 26, 116, 10, 100)(5, 95, 14, 104, 18, 108, 40, 130, 60, 150, 80, 170, 87, 177, 69, 159, 51, 141, 27, 117, 47, 137, 24, 114, 45, 135, 64, 154, 83, 173, 88, 178, 70, 160, 52, 142, 28, 118, 11, 101, 20, 110, 7, 97, 19, 109, 37, 127, 61, 151, 77, 167, 73, 163, 56, 146, 30, 120, 15, 105)(181, 271)(182, 272)(183, 273)(184, 274)(185, 275)(186, 276)(187, 277)(188, 278)(189, 279)(190, 280)(191, 281)(192, 282)(193, 283)(194, 284)(195, 285)(196, 286)(197, 287)(198, 288)(199, 289)(200, 290)(201, 291)(202, 292)(203, 293)(204, 294)(205, 295)(206, 296)(207, 297)(208, 298)(209, 299)(210, 300)(211, 301)(212, 302)(213, 303)(214, 304)(215, 305)(216, 306)(217, 307)(218, 308)(219, 309)(220, 310)(221, 311)(222, 312)(223, 313)(224, 314)(225, 315)(226, 316)(227, 317)(228, 318)(229, 319)(230, 320)(231, 321)(232, 322)(233, 323)(234, 324)(235, 325)(236, 326)(237, 327)(238, 328)(239, 329)(240, 330)(241, 331)(242, 332)(243, 333)(244, 334)(245, 335)(246, 336)(247, 337)(248, 338)(249, 339)(250, 340)(251, 341)(252, 342)(253, 343)(254, 344)(255, 345)(256, 346)(257, 347)(258, 348)(259, 349)(260, 350)(261, 351)(262, 352)(263, 353)(264, 354)(265, 355)(266, 356)(267, 357)(268, 358)(269, 359)(270, 360)
	L = (1, 183)(2, 187)(3, 185)(4, 191)(5, 181)(6, 197)(7, 188)(8, 182)(9, 203)(10, 205)(11, 193)(12, 206)(13, 184)(14, 212)(15, 214)(16, 217)(17, 198)(18, 186)(19, 221)(20, 223)(21, 225)(22, 227)(23, 204)(24, 189)(25, 207)(26, 210)(27, 190)(28, 229)(29, 232)(30, 192)(31, 231)(32, 213)(33, 194)(34, 215)(35, 195)(36, 239)(37, 218)(38, 196)(39, 243)(40, 245)(41, 222)(42, 199)(43, 224)(44, 200)(45, 226)(46, 201)(47, 228)(48, 202)(49, 233)(50, 247)(51, 237)(52, 235)(53, 208)(54, 248)(55, 209)(56, 251)(57, 211)(58, 257)(59, 240)(60, 216)(61, 261)(62, 263)(63, 244)(64, 219)(65, 246)(66, 220)(67, 249)(68, 253)(69, 230)(70, 265)(71, 255)(72, 268)(73, 234)(74, 267)(75, 236)(76, 254)(77, 258)(78, 238)(79, 252)(80, 266)(81, 262)(82, 241)(83, 264)(84, 242)(85, 269)(86, 270)(87, 256)(88, 259)(89, 250)(90, 260)(91, 271)(92, 272)(93, 273)(94, 274)(95, 275)(96, 276)(97, 277)(98, 278)(99, 279)(100, 280)(101, 281)(102, 282)(103, 283)(104, 284)(105, 285)(106, 286)(107, 287)(108, 288)(109, 289)(110, 290)(111, 291)(112, 292)(113, 293)(114, 294)(115, 295)(116, 296)(117, 297)(118, 298)(119, 299)(120, 300)(121, 301)(122, 302)(123, 303)(124, 304)(125, 305)(126, 306)(127, 307)(128, 308)(129, 309)(130, 310)(131, 311)(132, 312)(133, 313)(134, 314)(135, 315)(136, 316)(137, 317)(138, 318)(139, 319)(140, 320)(141, 321)(142, 322)(143, 323)(144, 324)(145, 325)(146, 326)(147, 327)(148, 328)(149, 329)(150, 330)(151, 331)(152, 332)(153, 333)(154, 334)(155, 335)(156, 336)(157, 337)(158, 338)(159, 339)(160, 340)(161, 341)(162, 342)(163, 343)(164, 344)(165, 345)(166, 346)(167, 347)(168, 348)(169, 349)(170, 350)(171, 351)(172, 352)(173, 353)(174, 354)(175, 355)(176, 356)(177, 357)(178, 358)(179, 359)(180, 360)
	local type(s) :: { ( 6, 60 ), ( 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.2180
Graph:: simple bipartite
	v = 93 e = 180 f = 33
	degree seq :: [ 2^90, 60^3 ]

E28.2183 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 30, 30})
Quotient :: edge
Aut^+ = C30 x C3 (small group id <90, 10>)
Aut   = C2 x ((C15 x C3) : C2) (small group id <180, 36>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, (T1, T2^-1), T2^30 ]
Map:: non-degenerate
	R = (1, 3, 8, 14, 20, 26, 32, 38, 44, 50, 56, 62, 68, 74, 80, 86, 83, 77, 71, 65, 59, 53, 47, 41, 35, 29, 23, 17, 11, 5)(2, 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 89, 85, 79, 73, 67, 61, 55, 49, 43, 37, 31, 25, 19, 13, 7)(4, 9, 15, 21, 27, 33, 39, 45, 51, 57, 63, 69, 75, 81, 87, 90, 88, 82, 76, 70, 64, 58, 52, 46, 40, 34, 28, 22, 16, 10)(91, 92, 94)(93, 96, 99)(95, 97, 100)(98, 102, 105)(101, 103, 106)(104, 108, 111)(107, 109, 112)(110, 114, 117)(113, 115, 118)(116, 120, 123)(119, 121, 124)(122, 126, 129)(125, 127, 130)(128, 132, 135)(131, 133, 136)(134, 138, 141)(137, 139, 142)(140, 144, 147)(143, 145, 148)(146, 150, 153)(149, 151, 154)(152, 156, 159)(155, 157, 160)(158, 162, 165)(161, 163, 166)(164, 168, 171)(167, 169, 172)(170, 174, 177)(173, 175, 178)(176, 179, 180)
	L = (1, 91)(2, 92)(3, 93)(4, 94)(5, 95)(6, 96)(7, 97)(8, 98)(9, 99)(10, 100)(11, 101)(12, 102)(13, 103)(14, 104)(15, 105)(16, 106)(17, 107)(18, 108)(19, 109)(20, 110)(21, 111)(22, 112)(23, 113)(24, 114)(25, 115)(26, 116)(27, 117)(28, 118)(29, 119)(30, 120)(31, 121)(32, 122)(33, 123)(34, 124)(35, 125)(36, 126)(37, 127)(38, 128)(39, 129)(40, 130)(41, 131)(42, 132)(43, 133)(44, 134)(45, 135)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 60^3 ), ( 60^30 ) }
Outer automorphisms :: reflexible
Dual of E28.2184
Transitivity :: ET+
Graph:: simple bipartite
	v = 33 e = 90 f = 3
	degree seq :: [ 3^30, 30^3 ]

E28.2184 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 30, 30})
Quotient :: loop
Aut^+ = C30 x C3 (small group id <90, 10>)
Aut   = C2 x ((C15 x C3) : C2) (small group id <180, 36>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, (T1, T2^-1), T2^30 ]
Map:: non-degenerate
	R = (1, 91, 3, 93, 8, 98, 14, 104, 20, 110, 26, 116, 32, 122, 38, 128, 44, 134, 50, 140, 56, 146, 62, 152, 68, 158, 74, 164, 80, 170, 86, 176, 83, 173, 77, 167, 71, 161, 65, 155, 59, 149, 53, 143, 47, 137, 41, 131, 35, 125, 29, 119, 23, 113, 17, 107, 11, 101, 5, 95)(2, 92, 6, 96, 12, 102, 18, 108, 24, 114, 30, 120, 36, 126, 42, 132, 48, 138, 54, 144, 60, 150, 66, 156, 72, 162, 78, 168, 84, 174, 89, 179, 85, 175, 79, 169, 73, 163, 67, 157, 61, 151, 55, 145, 49, 139, 43, 133, 37, 127, 31, 121, 25, 115, 19, 109, 13, 103, 7, 97)(4, 94, 9, 99, 15, 105, 21, 111, 27, 117, 33, 123, 39, 129, 45, 135, 51, 141, 57, 147, 63, 153, 69, 159, 75, 165, 81, 171, 87, 177, 90, 180, 88, 178, 82, 172, 76, 166, 70, 160, 64, 154, 58, 148, 52, 142, 46, 136, 40, 130, 34, 124, 28, 118, 22, 112, 16, 106, 10, 100)
	L = (1, 92)(2, 94)(3, 96)(4, 91)(5, 97)(6, 99)(7, 100)(8, 102)(9, 93)(10, 95)(11, 103)(12, 105)(13, 106)(14, 108)(15, 98)(16, 101)(17, 109)(18, 111)(19, 112)(20, 114)(21, 104)(22, 107)(23, 115)(24, 117)(25, 118)(26, 120)(27, 110)(28, 113)(29, 121)(30, 123)(31, 124)(32, 126)(33, 116)(34, 119)(35, 127)(36, 129)(37, 130)(38, 132)(39, 122)(40, 125)(41, 133)(42, 135)(43, 136)(44, 138)(45, 128)(46, 131)(47, 139)(48, 141)(49, 142)(50, 144)(51, 134)(52, 137)(53, 145)(54, 147)(55, 148)(56, 150)(57, 140)(58, 143)(59, 151)(60, 153)(61, 154)(62, 156)(63, 146)(64, 149)(65, 157)(66, 159)(67, 160)(68, 162)(69, 152)(70, 155)(71, 163)(72, 165)(73, 166)(74, 168)(75, 158)(76, 161)(77, 169)(78, 171)(79, 172)(80, 174)(81, 164)(82, 167)(83, 175)(84, 177)(85, 178)(86, 179)(87, 170)(88, 173)(89, 180)(90, 176)
	local type(s) :: { ( 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30, 3, 30 ) }
Outer automorphisms :: reflexible
Dual of E28.2183
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 90 f = 33
	degree seq :: [ 60^3 ]

E28.2185 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 30, 30})
Quotient :: dipole
Aut^+ = C30 x C3 (small group id <90, 10>)
Aut   = C2 x ((C15 x C3) : C2) (small group id <180, 36>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2^-1, Y1^-1), (Y3^-1, Y2^-1), Y3^30, Y2^30 ]
Map::
	R = (1, 91, 2, 92, 4, 94)(3, 93, 6, 96, 9, 99)(5, 95, 7, 97, 10, 100)(8, 98, 12, 102, 15, 105)(11, 101, 13, 103, 16, 106)(14, 104, 18, 108, 21, 111)(17, 107, 19, 109, 22, 112)(20, 110, 24, 114, 27, 117)(23, 113, 25, 115, 28, 118)(26, 116, 30, 120, 33, 123)(29, 119, 31, 121, 34, 124)(32, 122, 36, 126, 39, 129)(35, 125, 37, 127, 40, 130)(38, 128, 42, 132, 45, 135)(41, 131, 43, 133, 46, 136)(44, 134, 48, 138, 51, 141)(47, 137, 49, 139, 52, 142)(50, 140, 54, 144, 57, 147)(53, 143, 55, 145, 58, 148)(56, 146, 60, 150, 63, 153)(59, 149, 61, 151, 64, 154)(62, 152, 66, 156, 69, 159)(65, 155, 67, 157, 70, 160)(68, 158, 72, 162, 75, 165)(71, 161, 73, 163, 76, 166)(74, 164, 78, 168, 81, 171)(77, 167, 79, 169, 82, 172)(80, 170, 84, 174, 87, 177)(83, 173, 85, 175, 88, 178)(86, 176, 89, 179, 90, 180)(181, 271, 183, 273, 188, 278, 194, 284, 200, 290, 206, 296, 212, 302, 218, 308, 224, 314, 230, 320, 236, 326, 242, 332, 248, 338, 254, 344, 260, 350, 266, 356, 263, 353, 257, 347, 251, 341, 245, 335, 239, 329, 233, 323, 227, 317, 221, 311, 215, 305, 209, 299, 203, 293, 197, 287, 191, 281, 185, 275)(182, 272, 186, 276, 192, 282, 198, 288, 204, 294, 210, 300, 216, 306, 222, 312, 228, 318, 234, 324, 240, 330, 246, 336, 252, 342, 258, 348, 264, 354, 269, 359, 265, 355, 259, 349, 253, 343, 247, 337, 241, 331, 235, 325, 229, 319, 223, 313, 217, 307, 211, 301, 205, 295, 199, 289, 193, 283, 187, 277)(184, 274, 189, 279, 195, 285, 201, 291, 207, 297, 213, 303, 219, 309, 225, 315, 231, 321, 237, 327, 243, 333, 249, 339, 255, 345, 261, 351, 267, 357, 270, 360, 268, 358, 262, 352, 256, 346, 250, 340, 244, 334, 238, 328, 232, 322, 226, 316, 220, 310, 214, 304, 208, 298, 202, 292, 196, 286, 190, 280)
	L = (1, 184)(2, 181)(3, 189)(4, 182)(5, 190)(6, 183)(7, 185)(8, 195)(9, 186)(10, 187)(11, 196)(12, 188)(13, 191)(14, 201)(15, 192)(16, 193)(17, 202)(18, 194)(19, 197)(20, 207)(21, 198)(22, 199)(23, 208)(24, 200)(25, 203)(26, 213)(27, 204)(28, 205)(29, 214)(30, 206)(31, 209)(32, 219)(33, 210)(34, 211)(35, 220)(36, 212)(37, 215)(38, 225)(39, 216)(40, 217)(41, 226)(42, 218)(43, 221)(44, 231)(45, 222)(46, 223)(47, 232)(48, 224)(49, 227)(50, 237)(51, 228)(52, 229)(53, 238)(54, 230)(55, 233)(56, 243)(57, 234)(58, 235)(59, 244)(60, 236)(61, 239)(62, 249)(63, 240)(64, 241)(65, 250)(66, 242)(67, 245)(68, 255)(69, 246)(70, 247)(71, 256)(72, 248)(73, 251)(74, 261)(75, 252)(76, 253)(77, 262)(78, 254)(79, 257)(80, 267)(81, 258)(82, 259)(83, 268)(84, 260)(85, 263)(86, 270)(87, 264)(88, 265)(89, 266)(90, 269)(91, 271)(92, 272)(93, 273)(94, 274)(95, 275)(96, 276)(97, 277)(98, 278)(99, 279)(100, 280)(101, 281)(102, 282)(103, 283)(104, 284)(105, 285)(106, 286)(107, 287)(108, 288)(109, 289)(110, 290)(111, 291)(112, 292)(113, 293)(114, 294)(115, 295)(116, 296)(117, 297)(118, 298)(119, 299)(120, 300)(121, 301)(122, 302)(123, 303)(124, 304)(125, 305)(126, 306)(127, 307)(128, 308)(129, 309)(130, 310)(131, 311)(132, 312)(133, 313)(134, 314)(135, 315)(136, 316)(137, 317)(138, 318)(139, 319)(140, 320)(141, 321)(142, 322)(143, 323)(144, 324)(145, 325)(146, 326)(147, 327)(148, 328)(149, 329)(150, 330)(151, 331)(152, 332)(153, 333)(154, 334)(155, 335)(156, 336)(157, 337)(158, 338)(159, 339)(160, 340)(161, 341)(162, 342)(163, 343)(164, 344)(165, 345)(166, 346)(167, 347)(168, 348)(169, 349)(170, 350)(171, 351)(172, 352)(173, 353)(174, 354)(175, 355)(176, 356)(177, 357)(178, 358)(179, 359)(180, 360)
	local type(s) :: { ( 2, 60, 2, 60, 2, 60 ), ( 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.2186
Graph:: bipartite
	v = 33 e = 180 f = 93
	degree seq :: [ 6^30, 60^3 ]

E28.2186 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 30, 30})
Quotient :: dipole
Aut^+ = C30 x C3 (small group id <90, 10>)
Aut   = C2 x ((C15 x C3) : C2) (small group id <180, 36>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y1), (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y3^-30, Y1^30 ]
Map::
	R = (1, 91, 2, 92, 6, 96, 12, 102, 18, 108, 24, 114, 30, 120, 36, 126, 42, 132, 48, 138, 54, 144, 60, 150, 66, 156, 72, 162, 78, 168, 84, 174, 82, 172, 76, 166, 70, 160, 64, 154, 58, 148, 52, 142, 46, 136, 40, 130, 34, 124, 28, 118, 22, 112, 16, 106, 10, 100, 4, 94)(3, 93, 7, 97, 13, 103, 19, 109, 25, 115, 31, 121, 37, 127, 43, 133, 49, 139, 55, 145, 61, 151, 67, 157, 73, 163, 79, 169, 85, 175, 89, 179, 87, 177, 81, 171, 75, 165, 69, 159, 63, 153, 57, 147, 51, 141, 45, 135, 39, 129, 33, 123, 27, 117, 21, 111, 15, 105, 9, 99)(5, 95, 8, 98, 14, 104, 20, 110, 26, 116, 32, 122, 38, 128, 44, 134, 50, 140, 56, 146, 62, 152, 68, 158, 74, 164, 80, 170, 86, 176, 90, 180, 88, 178, 83, 173, 77, 167, 71, 161, 65, 155, 59, 149, 53, 143, 47, 137, 41, 131, 35, 125, 29, 119, 23, 113, 17, 107, 11, 101)(181, 271)(182, 272)(183, 273)(184, 274)(185, 275)(186, 276)(187, 277)(188, 278)(189, 279)(190, 280)(191, 281)(192, 282)(193, 283)(194, 284)(195, 285)(196, 286)(197, 287)(198, 288)(199, 289)(200, 290)(201, 291)(202, 292)(203, 293)(204, 294)(205, 295)(206, 296)(207, 297)(208, 298)(209, 299)(210, 300)(211, 301)(212, 302)(213, 303)(214, 304)(215, 305)(216, 306)(217, 307)(218, 308)(219, 309)(220, 310)(221, 311)(222, 312)(223, 313)(224, 314)(225, 315)(226, 316)(227, 317)(228, 318)(229, 319)(230, 320)(231, 321)(232, 322)(233, 323)(234, 324)(235, 325)(236, 326)(237, 327)(238, 328)(239, 329)(240, 330)(241, 331)(242, 332)(243, 333)(244, 334)(245, 335)(246, 336)(247, 337)(248, 338)(249, 339)(250, 340)(251, 341)(252, 342)(253, 343)(254, 344)(255, 345)(256, 346)(257, 347)(258, 348)(259, 349)(260, 350)(261, 351)(262, 352)(263, 353)(264, 354)(265, 355)(266, 356)(267, 357)(268, 358)(269, 359)(270, 360)
	L = (1, 183)(2, 187)(3, 185)(4, 189)(5, 181)(6, 193)(7, 188)(8, 182)(9, 191)(10, 195)(11, 184)(12, 199)(13, 194)(14, 186)(15, 197)(16, 201)(17, 190)(18, 205)(19, 200)(20, 192)(21, 203)(22, 207)(23, 196)(24, 211)(25, 206)(26, 198)(27, 209)(28, 213)(29, 202)(30, 217)(31, 212)(32, 204)(33, 215)(34, 219)(35, 208)(36, 223)(37, 218)(38, 210)(39, 221)(40, 225)(41, 214)(42, 229)(43, 224)(44, 216)(45, 227)(46, 231)(47, 220)(48, 235)(49, 230)(50, 222)(51, 233)(52, 237)(53, 226)(54, 241)(55, 236)(56, 228)(57, 239)(58, 243)(59, 232)(60, 247)(61, 242)(62, 234)(63, 245)(64, 249)(65, 238)(66, 253)(67, 248)(68, 240)(69, 251)(70, 255)(71, 244)(72, 259)(73, 254)(74, 246)(75, 257)(76, 261)(77, 250)(78, 265)(79, 260)(80, 252)(81, 263)(82, 267)(83, 256)(84, 269)(85, 266)(86, 258)(87, 268)(88, 262)(89, 270)(90, 264)(91, 271)(92, 272)(93, 273)(94, 274)(95, 275)(96, 276)(97, 277)(98, 278)(99, 279)(100, 280)(101, 281)(102, 282)(103, 283)(104, 284)(105, 285)(106, 286)(107, 287)(108, 288)(109, 289)(110, 290)(111, 291)(112, 292)(113, 293)(114, 294)(115, 295)(116, 296)(117, 297)(118, 298)(119, 299)(120, 300)(121, 301)(122, 302)(123, 303)(124, 304)(125, 305)(126, 306)(127, 307)(128, 308)(129, 309)(130, 310)(131, 311)(132, 312)(133, 313)(134, 314)(135, 315)(136, 316)(137, 317)(138, 318)(139, 319)(140, 320)(141, 321)(142, 322)(143, 323)(144, 324)(145, 325)(146, 326)(147, 327)(148, 328)(149, 329)(150, 330)(151, 331)(152, 332)(153, 333)(154, 334)(155, 335)(156, 336)(157, 337)(158, 338)(159, 339)(160, 340)(161, 341)(162, 342)(163, 343)(164, 344)(165, 345)(166, 346)(167, 347)(168, 348)(169, 349)(170, 350)(171, 351)(172, 352)(173, 353)(174, 354)(175, 355)(176, 356)(177, 357)(178, 358)(179, 359)(180, 360)
	local type(s) :: { ( 6, 60 ), ( 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.2185
Graph:: simple bipartite
	v = 93 e = 180 f = 33
	degree seq :: [ 2^90, 60^3 ]

E28.2187 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 6, 48})
Quotient :: edge
Aut^+ = C3 x QD32 (small group id <96, 62>)
Aut   = $<192, 473>$ (small group id <192, 473>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T2 * T1^-2 * T2^-1 * T1^-2, T2^-1 * T1 * T2^2 * T1^-1 * T2^-1, T2^6, T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T2^-1 * T1)^48 ]
Map:: non-degenerate
	R = (1, 3, 10, 27, 16, 5)(2, 7, 20, 38, 24, 8)(4, 12, 28, 49, 31, 13)(6, 17, 34, 52, 35, 18)(9, 25, 44, 32, 14, 26)(11, 29, 48, 33, 15, 30)(19, 36, 54, 41, 22, 37)(21, 39, 58, 42, 23, 40)(43, 61, 50, 65, 46, 62)(45, 63, 51, 66, 47, 64)(53, 67, 59, 71, 56, 68)(55, 69, 60, 72, 57, 70)(73, 85, 77, 89, 75, 86)(74, 87, 78, 90, 76, 88)(79, 91, 83, 95, 81, 92)(80, 93, 84, 96, 82, 94)(97, 98, 102, 100)(99, 105, 113, 107)(101, 110, 114, 111)(103, 115, 108, 117)(104, 118, 109, 119)(106, 116, 130, 124)(112, 120, 131, 127)(121, 139, 125, 141)(122, 142, 126, 143)(123, 140, 148, 144)(128, 146, 129, 147)(132, 149, 135, 151)(133, 152, 136, 153)(134, 150, 145, 154)(137, 155, 138, 156)(157, 169, 159, 170)(158, 171, 160, 172)(161, 173, 162, 174)(163, 175, 165, 176)(164, 177, 166, 178)(167, 179, 168, 180)(181, 189, 183, 187)(182, 190, 184, 188)(185, 192, 186, 191)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 96^4 ), ( 96^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2191
Transitivity :: ET+
Graph:: simple bipartite
	v = 40 e = 96 f = 2
	degree seq :: [ 4^24, 6^16 ]

E28.2188 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 6, 48})
Quotient :: edge
Aut^+ = C3 x QD32 (small group id <96, 62>)
Aut   = $<192, 473>$ (small group id <192, 473>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^6, T1 * T2 * T1^-2 * T2^-1 * T1, (T2^2 * T1^-1)^2, T2 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1, (T2^-1 * T1^-1)^4, T2^3 * T1^-1 * T2^-5 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 10, 30, 64, 83, 55, 23, 54, 24, 56, 84, 94, 78, 49, 20, 6, 19, 47, 76, 93, 79, 51, 21, 50, 37, 65, 87, 95, 80, 52, 36, 13, 32, 59, 86, 96, 81, 68, 35, 58, 25, 57, 85, 74, 43, 17, 5)(2, 7, 22, 53, 82, 61, 28, 9, 27, 48, 77, 73, 89, 62, 29, 45, 18, 44, 42, 72, 90, 63, 75, 46, 41, 16, 40, 71, 91, 69, 38, 14, 4, 12, 34, 67, 92, 66, 33, 11, 31, 15, 39, 70, 88, 60, 26, 8)(97, 98, 102, 114, 109, 100)(99, 105, 115, 142, 128, 107)(101, 111, 116, 144, 132, 112)(103, 117, 140, 131, 108, 119)(104, 120, 141, 133, 110, 121)(106, 125, 143, 134, 155, 122)(113, 130, 145, 118, 148, 138)(123, 146, 137, 154, 127, 150)(124, 152, 171, 161, 129, 153)(126, 159, 172, 162, 182, 157)(135, 147, 173, 164, 136, 151)(139, 167, 174, 166, 176, 169)(149, 177, 168, 179, 163, 175)(156, 181, 158, 180, 165, 183)(160, 187, 189, 184, 192, 185)(170, 186, 190, 188, 191, 178)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^6 ), ( 8^48 ) }
Outer automorphisms :: reflexible
Dual of E28.2192
Transitivity :: ET+
Graph:: bipartite
	v = 18 e = 96 f = 24
	degree seq :: [ 6^16, 48^2 ]

E28.2189 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 6, 48})
Quotient :: edge
Aut^+ = C3 x QD32 (small group id <96, 62>)
Aut   = $<192, 473>$ (small group id <192, 473>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^4, T2^-2 * T1 * T2^-2 * T1^-1, T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-1, (T2 * T1^-3)^2, (T1^-1 * T2^-1 * T1^-2)^2, T2^-1 * T1^4 * T2^-1 * T1^-4, T2 * T1^-2 * T2 * T1^2 * T2^-1 * T1^-2 * T2 * T1^2 ]
Map:: non-degenerate
	R = (1, 3, 10, 5)(2, 7, 21, 8)(4, 12, 28, 14)(6, 18, 45, 19)(9, 26, 15, 27)(11, 29, 16, 31)(13, 34, 62, 36)(17, 42, 76, 43)(20, 50, 23, 51)(22, 52, 24, 54)(25, 58, 39, 59)(30, 64, 40, 65)(32, 60, 37, 61)(33, 63, 38, 66)(35, 69, 89, 57)(41, 74, 93, 75)(44, 79, 47, 80)(46, 81, 48, 83)(49, 85, 55, 86)(53, 87, 56, 88)(67, 90, 72, 91)(68, 92, 71, 73)(70, 77, 94, 78)(82, 95, 84, 96)(97, 98, 102, 113, 137, 169, 157, 123, 147, 176, 160, 183, 191, 187, 155, 182, 159, 125, 148, 177, 190, 185, 158, 124, 106, 117, 141, 172, 189, 188, 156, 122, 146, 175, 161, 184, 192, 186, 154, 181, 162, 127, 150, 179, 166, 131, 109, 100)(99, 105, 121, 153, 171, 149, 118, 103, 116, 145, 132, 167, 178, 142, 114, 140, 134, 110, 133, 168, 173, 138, 136, 112, 101, 111, 135, 165, 170, 152, 120, 104, 119, 151, 130, 164, 180, 144, 115, 143, 129, 108, 128, 163, 174, 139, 126, 107)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12^4 ), ( 12^48 ) }
Outer automorphisms :: reflexible
Dual of E28.2190
Transitivity :: ET+
Graph:: bipartite
	v = 26 e = 96 f = 16
	degree seq :: [ 4^24, 48^2 ]

E28.2190 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 6, 48})
Quotient :: loop
Aut^+ = C3 x QD32 (small group id <96, 62>)
Aut   = $<192, 473>$ (small group id <192, 473>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T2 * T1^-2 * T2^-1 * T1^-2, T2^-1 * T1 * T2^2 * T1^-1 * T2^-1, T2^6, T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T2^-1 * T1)^48 ]
Map:: non-degenerate
	R = (1, 97, 3, 99, 10, 106, 27, 123, 16, 112, 5, 101)(2, 98, 7, 103, 20, 116, 38, 134, 24, 120, 8, 104)(4, 100, 12, 108, 28, 124, 49, 145, 31, 127, 13, 109)(6, 102, 17, 113, 34, 130, 52, 148, 35, 131, 18, 114)(9, 105, 25, 121, 44, 140, 32, 128, 14, 110, 26, 122)(11, 107, 29, 125, 48, 144, 33, 129, 15, 111, 30, 126)(19, 115, 36, 132, 54, 150, 41, 137, 22, 118, 37, 133)(21, 117, 39, 135, 58, 154, 42, 138, 23, 119, 40, 136)(43, 139, 61, 157, 50, 146, 65, 161, 46, 142, 62, 158)(45, 141, 63, 159, 51, 147, 66, 162, 47, 143, 64, 160)(53, 149, 67, 163, 59, 155, 71, 167, 56, 152, 68, 164)(55, 151, 69, 165, 60, 156, 72, 168, 57, 153, 70, 166)(73, 169, 85, 181, 77, 173, 89, 185, 75, 171, 86, 182)(74, 170, 87, 183, 78, 174, 90, 186, 76, 172, 88, 184)(79, 175, 91, 187, 83, 179, 95, 191, 81, 177, 92, 188)(80, 176, 93, 189, 84, 180, 96, 192, 82, 178, 94, 190)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 100)(7, 115)(8, 118)(9, 113)(10, 116)(11, 99)(12, 117)(13, 119)(14, 114)(15, 101)(16, 120)(17, 107)(18, 111)(19, 108)(20, 130)(21, 103)(22, 109)(23, 104)(24, 131)(25, 139)(26, 142)(27, 140)(28, 106)(29, 141)(30, 143)(31, 112)(32, 146)(33, 147)(34, 124)(35, 127)(36, 149)(37, 152)(38, 150)(39, 151)(40, 153)(41, 155)(42, 156)(43, 125)(44, 148)(45, 121)(46, 126)(47, 122)(48, 123)(49, 154)(50, 129)(51, 128)(52, 144)(53, 135)(54, 145)(55, 132)(56, 136)(57, 133)(58, 134)(59, 138)(60, 137)(61, 169)(62, 171)(63, 170)(64, 172)(65, 173)(66, 174)(67, 175)(68, 177)(69, 176)(70, 178)(71, 179)(72, 180)(73, 159)(74, 157)(75, 160)(76, 158)(77, 162)(78, 161)(79, 165)(80, 163)(81, 166)(82, 164)(83, 168)(84, 167)(85, 189)(86, 190)(87, 187)(88, 188)(89, 192)(90, 191)(91, 181)(92, 182)(93, 183)(94, 184)(95, 185)(96, 186)
	local type(s) :: { ( 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E28.2189
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 96 f = 26
	degree seq :: [ 12^16 ]

E28.2191 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 6, 48})
Quotient :: loop
Aut^+ = C3 x QD32 (small group id <96, 62>)
Aut   = $<192, 473>$ (small group id <192, 473>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^6, T1 * T2 * T1^-2 * T2^-1 * T1, (T2^2 * T1^-1)^2, T2 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1, (T2^-1 * T1^-1)^4, T2^3 * T1^-1 * T2^-5 * T1^-1 ]
Map:: non-degenerate
	R = (1, 97, 3, 99, 10, 106, 30, 126, 64, 160, 83, 179, 55, 151, 23, 119, 54, 150, 24, 120, 56, 152, 84, 180, 94, 190, 78, 174, 49, 145, 20, 116, 6, 102, 19, 115, 47, 143, 76, 172, 93, 189, 79, 175, 51, 147, 21, 117, 50, 146, 37, 133, 65, 161, 87, 183, 95, 191, 80, 176, 52, 148, 36, 132, 13, 109, 32, 128, 59, 155, 86, 182, 96, 192, 81, 177, 68, 164, 35, 131, 58, 154, 25, 121, 57, 153, 85, 181, 74, 170, 43, 139, 17, 113, 5, 101)(2, 98, 7, 103, 22, 118, 53, 149, 82, 178, 61, 157, 28, 124, 9, 105, 27, 123, 48, 144, 77, 173, 73, 169, 89, 185, 62, 158, 29, 125, 45, 141, 18, 114, 44, 140, 42, 138, 72, 168, 90, 186, 63, 159, 75, 171, 46, 142, 41, 137, 16, 112, 40, 136, 71, 167, 91, 187, 69, 165, 38, 134, 14, 110, 4, 100, 12, 108, 34, 130, 67, 163, 92, 188, 66, 162, 33, 129, 11, 107, 31, 127, 15, 111, 39, 135, 70, 166, 88, 184, 60, 156, 26, 122, 8, 104)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 111)(6, 114)(7, 117)(8, 120)(9, 115)(10, 125)(11, 99)(12, 119)(13, 100)(14, 121)(15, 116)(16, 101)(17, 130)(18, 109)(19, 142)(20, 144)(21, 140)(22, 148)(23, 103)(24, 141)(25, 104)(26, 106)(27, 146)(28, 152)(29, 143)(30, 159)(31, 150)(32, 107)(33, 153)(34, 145)(35, 108)(36, 112)(37, 110)(38, 155)(39, 147)(40, 151)(41, 154)(42, 113)(43, 167)(44, 131)(45, 133)(46, 128)(47, 134)(48, 132)(49, 118)(50, 137)(51, 173)(52, 138)(53, 177)(54, 123)(55, 135)(56, 171)(57, 124)(58, 127)(59, 122)(60, 181)(61, 126)(62, 180)(63, 172)(64, 187)(65, 129)(66, 182)(67, 175)(68, 136)(69, 183)(70, 176)(71, 174)(72, 179)(73, 139)(74, 186)(75, 161)(76, 162)(77, 164)(78, 166)(79, 149)(80, 169)(81, 168)(82, 170)(83, 163)(84, 165)(85, 158)(86, 157)(87, 156)(88, 192)(89, 160)(90, 190)(91, 189)(92, 191)(93, 184)(94, 188)(95, 178)(96, 185)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2187
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 96 f = 40
	degree seq :: [ 96^2 ]

E28.2192 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 6, 48})
Quotient :: loop
Aut^+ = C3 x QD32 (small group id <96, 62>)
Aut   = $<192, 473>$ (small group id <192, 473>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^4, T2^-2 * T1 * T2^-2 * T1^-1, T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-1, (T2 * T1^-3)^2, (T1^-1 * T2^-1 * T1^-2)^2, T2^-1 * T1^4 * T2^-1 * T1^-4, T2 * T1^-2 * T2 * T1^2 * T2^-1 * T1^-2 * T2 * T1^2 ]
Map:: non-degenerate
	R = (1, 97, 3, 99, 10, 106, 5, 101)(2, 98, 7, 103, 21, 117, 8, 104)(4, 100, 12, 108, 28, 124, 14, 110)(6, 102, 18, 114, 45, 141, 19, 115)(9, 105, 26, 122, 15, 111, 27, 123)(11, 107, 29, 125, 16, 112, 31, 127)(13, 109, 34, 130, 62, 158, 36, 132)(17, 113, 42, 138, 76, 172, 43, 139)(20, 116, 50, 146, 23, 119, 51, 147)(22, 118, 52, 148, 24, 120, 54, 150)(25, 121, 58, 154, 39, 135, 59, 155)(30, 126, 64, 160, 40, 136, 65, 161)(32, 128, 60, 156, 37, 133, 61, 157)(33, 129, 63, 159, 38, 134, 66, 162)(35, 131, 69, 165, 89, 185, 57, 153)(41, 137, 74, 170, 93, 189, 75, 171)(44, 140, 79, 175, 47, 143, 80, 176)(46, 142, 81, 177, 48, 144, 83, 179)(49, 145, 85, 181, 55, 151, 86, 182)(53, 149, 87, 183, 56, 152, 88, 184)(67, 163, 90, 186, 72, 168, 91, 187)(68, 164, 92, 188, 71, 167, 73, 169)(70, 166, 77, 173, 94, 190, 78, 174)(82, 178, 95, 191, 84, 180, 96, 192)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 111)(6, 113)(7, 116)(8, 119)(9, 121)(10, 117)(11, 99)(12, 128)(13, 100)(14, 133)(15, 135)(16, 101)(17, 137)(18, 140)(19, 143)(20, 145)(21, 141)(22, 103)(23, 151)(24, 104)(25, 153)(26, 146)(27, 147)(28, 106)(29, 148)(30, 107)(31, 150)(32, 163)(33, 108)(34, 164)(35, 109)(36, 167)(37, 168)(38, 110)(39, 165)(40, 112)(41, 169)(42, 136)(43, 126)(44, 134)(45, 172)(46, 114)(47, 129)(48, 115)(49, 132)(50, 175)(51, 176)(52, 177)(53, 118)(54, 179)(55, 130)(56, 120)(57, 171)(58, 181)(59, 182)(60, 122)(61, 123)(62, 124)(63, 125)(64, 183)(65, 184)(66, 127)(67, 174)(68, 180)(69, 170)(70, 131)(71, 178)(72, 173)(73, 157)(74, 152)(75, 149)(76, 189)(77, 138)(78, 139)(79, 161)(80, 160)(81, 190)(82, 142)(83, 166)(84, 144)(85, 162)(86, 159)(87, 191)(88, 192)(89, 158)(90, 154)(91, 155)(92, 156)(93, 188)(94, 185)(95, 187)(96, 186)
	local type(s) :: { ( 6, 48, 6, 48, 6, 48, 6, 48 ) }
Outer automorphisms :: reflexible
Dual of E28.2188
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 24 e = 96 f = 18
	degree seq :: [ 8^24 ]

E28.2193 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 48})
Quotient :: dipole
Aut^+ = C3 x QD32 (small group id <96, 62>)
Aut   = $<192, 473>$ (small group id <192, 473>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y3^4, Y1^2 * Y3^-2, (R * Y1)^2, (R * Y3)^2, Y3 * Y2 * Y1^-1 * Y3 * Y2^-1 * Y1^-1, Y2^6, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y2^-2 * Y3^-1 * Y2, (R * Y2^2)^2, Y2^2 * Y1 * Y2^-2 * Y1^-1, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y3 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^48 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 4, 100)(3, 99, 9, 105, 17, 113, 11, 107)(5, 101, 14, 110, 18, 114, 15, 111)(7, 103, 19, 115, 12, 108, 21, 117)(8, 104, 22, 118, 13, 109, 23, 119)(10, 106, 20, 116, 34, 130, 28, 124)(16, 112, 24, 120, 35, 131, 31, 127)(25, 121, 43, 139, 29, 125, 45, 141)(26, 122, 46, 142, 30, 126, 47, 143)(27, 123, 44, 140, 52, 148, 48, 144)(32, 128, 50, 146, 33, 129, 51, 147)(36, 132, 53, 149, 39, 135, 55, 151)(37, 133, 56, 152, 40, 136, 57, 153)(38, 134, 54, 150, 49, 145, 58, 154)(41, 137, 59, 155, 42, 138, 60, 156)(61, 157, 73, 169, 63, 159, 74, 170)(62, 158, 75, 171, 64, 160, 76, 172)(65, 161, 77, 173, 66, 162, 78, 174)(67, 163, 79, 175, 69, 165, 80, 176)(68, 164, 81, 177, 70, 166, 82, 178)(71, 167, 83, 179, 72, 168, 84, 180)(85, 181, 93, 189, 87, 183, 91, 187)(86, 182, 94, 190, 88, 184, 92, 188)(89, 185, 96, 192, 90, 186, 95, 191)(193, 289, 195, 291, 202, 298, 219, 315, 208, 304, 197, 293)(194, 290, 199, 295, 212, 308, 230, 326, 216, 312, 200, 296)(196, 292, 204, 300, 220, 316, 241, 337, 223, 319, 205, 301)(198, 294, 209, 305, 226, 322, 244, 340, 227, 323, 210, 306)(201, 297, 217, 313, 236, 332, 224, 320, 206, 302, 218, 314)(203, 299, 221, 317, 240, 336, 225, 321, 207, 303, 222, 318)(211, 307, 228, 324, 246, 342, 233, 329, 214, 310, 229, 325)(213, 309, 231, 327, 250, 346, 234, 330, 215, 311, 232, 328)(235, 331, 253, 349, 242, 338, 257, 353, 238, 334, 254, 350)(237, 333, 255, 351, 243, 339, 258, 354, 239, 335, 256, 352)(245, 341, 259, 355, 251, 347, 263, 359, 248, 344, 260, 356)(247, 343, 261, 357, 252, 348, 264, 360, 249, 345, 262, 358)(265, 361, 277, 373, 269, 365, 281, 377, 267, 363, 278, 374)(266, 362, 279, 375, 270, 366, 282, 378, 268, 364, 280, 376)(271, 367, 283, 379, 275, 371, 287, 383, 273, 369, 284, 380)(272, 368, 285, 381, 276, 372, 288, 384, 274, 370, 286, 382)
	L = (1, 196)(2, 193)(3, 203)(4, 198)(5, 207)(6, 194)(7, 213)(8, 215)(9, 195)(10, 220)(11, 209)(12, 211)(13, 214)(14, 197)(15, 210)(16, 223)(17, 201)(18, 206)(19, 199)(20, 202)(21, 204)(22, 200)(23, 205)(24, 208)(25, 237)(26, 239)(27, 240)(28, 226)(29, 235)(30, 238)(31, 227)(32, 243)(33, 242)(34, 212)(35, 216)(36, 247)(37, 249)(38, 250)(39, 245)(40, 248)(41, 252)(42, 251)(43, 217)(44, 219)(45, 221)(46, 218)(47, 222)(48, 244)(49, 246)(50, 224)(51, 225)(52, 236)(53, 228)(54, 230)(55, 231)(56, 229)(57, 232)(58, 241)(59, 233)(60, 234)(61, 266)(62, 268)(63, 265)(64, 267)(65, 270)(66, 269)(67, 272)(68, 274)(69, 271)(70, 273)(71, 276)(72, 275)(73, 253)(74, 255)(75, 254)(76, 256)(77, 257)(78, 258)(79, 259)(80, 261)(81, 260)(82, 262)(83, 263)(84, 264)(85, 283)(86, 284)(87, 285)(88, 286)(89, 287)(90, 288)(91, 279)(92, 280)(93, 277)(94, 278)(95, 282)(96, 281)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 96, 2, 96, 2, 96, 2, 96 ), ( 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96 ) }
Outer automorphisms :: reflexible
Dual of E28.2196
Graph:: bipartite
	v = 40 e = 192 f = 98
	degree seq :: [ 8^24, 12^16 ]

E28.2194 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 48})
Quotient :: dipole
Aut^+ = C3 x QD32 (small group id <96, 62>)
Aut   = $<192, 473>$ (small group id <192, 473>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2^-1 * Y1^2 * Y2 * Y1^-1, Y1^6, (Y2^2 * Y1^-1)^2, Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1, Y1^-1 * Y2^-2 * Y1^-3 * Y2^-2, (Y3^-1 * Y1^-1)^4, Y2^3 * Y1^-1 * Y2^-5 * Y1^-1 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 18, 114, 13, 109, 4, 100)(3, 99, 9, 105, 19, 115, 46, 142, 32, 128, 11, 107)(5, 101, 15, 111, 20, 116, 48, 144, 36, 132, 16, 112)(7, 103, 21, 117, 44, 140, 35, 131, 12, 108, 23, 119)(8, 104, 24, 120, 45, 141, 37, 133, 14, 110, 25, 121)(10, 106, 29, 125, 47, 143, 38, 134, 59, 155, 26, 122)(17, 113, 34, 130, 49, 145, 22, 118, 52, 148, 42, 138)(27, 123, 50, 146, 41, 137, 58, 154, 31, 127, 54, 150)(28, 124, 56, 152, 75, 171, 65, 161, 33, 129, 57, 153)(30, 126, 63, 159, 76, 172, 66, 162, 86, 182, 61, 157)(39, 135, 51, 147, 77, 173, 68, 164, 40, 136, 55, 151)(43, 139, 71, 167, 78, 174, 70, 166, 80, 176, 73, 169)(53, 149, 81, 177, 72, 168, 83, 179, 67, 163, 79, 175)(60, 156, 85, 181, 62, 158, 84, 180, 69, 165, 87, 183)(64, 160, 91, 187, 93, 189, 88, 184, 96, 192, 89, 185)(74, 170, 90, 186, 94, 190, 92, 188, 95, 191, 82, 178)(193, 289, 195, 291, 202, 298, 222, 318, 256, 352, 275, 371, 247, 343, 215, 311, 246, 342, 216, 312, 248, 344, 276, 372, 286, 382, 270, 366, 241, 337, 212, 308, 198, 294, 211, 307, 239, 335, 268, 364, 285, 381, 271, 367, 243, 339, 213, 309, 242, 338, 229, 325, 257, 353, 279, 375, 287, 383, 272, 368, 244, 340, 228, 324, 205, 301, 224, 320, 251, 347, 278, 374, 288, 384, 273, 369, 260, 356, 227, 323, 250, 346, 217, 313, 249, 345, 277, 373, 266, 362, 235, 331, 209, 305, 197, 293)(194, 290, 199, 295, 214, 310, 245, 341, 274, 370, 253, 349, 220, 316, 201, 297, 219, 315, 240, 336, 269, 365, 265, 361, 281, 377, 254, 350, 221, 317, 237, 333, 210, 306, 236, 332, 234, 330, 264, 360, 282, 378, 255, 351, 267, 363, 238, 334, 233, 329, 208, 304, 232, 328, 263, 359, 283, 379, 261, 357, 230, 326, 206, 302, 196, 292, 204, 300, 226, 322, 259, 355, 284, 380, 258, 354, 225, 321, 203, 299, 223, 319, 207, 303, 231, 327, 262, 358, 280, 376, 252, 348, 218, 314, 200, 296)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 211)(7, 214)(8, 194)(9, 219)(10, 222)(11, 223)(12, 226)(13, 224)(14, 196)(15, 231)(16, 232)(17, 197)(18, 236)(19, 239)(20, 198)(21, 242)(22, 245)(23, 246)(24, 248)(25, 249)(26, 200)(27, 240)(28, 201)(29, 237)(30, 256)(31, 207)(32, 251)(33, 203)(34, 259)(35, 250)(36, 205)(37, 257)(38, 206)(39, 262)(40, 263)(41, 208)(42, 264)(43, 209)(44, 234)(45, 210)(46, 233)(47, 268)(48, 269)(49, 212)(50, 229)(51, 213)(52, 228)(53, 274)(54, 216)(55, 215)(56, 276)(57, 277)(58, 217)(59, 278)(60, 218)(61, 220)(62, 221)(63, 267)(64, 275)(65, 279)(66, 225)(67, 284)(68, 227)(69, 230)(70, 280)(71, 283)(72, 282)(73, 281)(74, 235)(75, 238)(76, 285)(77, 265)(78, 241)(79, 243)(80, 244)(81, 260)(82, 253)(83, 247)(84, 286)(85, 266)(86, 288)(87, 287)(88, 252)(89, 254)(90, 255)(91, 261)(92, 258)(93, 271)(94, 270)(95, 272)(96, 273)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.2195
Graph:: bipartite
	v = 18 e = 192 f = 120
	degree seq :: [ 12^16, 96^2 ]

E28.2195 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 48})
Quotient :: dipole
Aut^+ = C3 x QD32 (small group id <96, 62>)
Aut   = $<192, 473>$ (small group id <192, 473>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y2^4, Y2^2 * Y3 * Y2^2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y2^2 * Y3^-1 * Y2, Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1, (Y3^-3 * Y2^-1)^2, (Y3^-1 * Y2 * Y3^-2)^2, Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3 * Y2^-1, Y3^4 * Y2^-1 * Y3^-4 * Y2^-1, (Y3^-1 * Y1^-1)^48 ]
Map::
	R = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)(193, 289, 194, 290, 198, 294, 196, 292)(195, 291, 201, 297, 209, 305, 203, 299)(197, 293, 206, 302, 210, 306, 207, 303)(199, 295, 211, 307, 204, 300, 213, 309)(200, 296, 214, 310, 205, 301, 215, 311)(202, 298, 219, 315, 233, 329, 221, 317)(208, 304, 230, 326, 234, 330, 231, 327)(212, 308, 237, 333, 224, 320, 239, 335)(216, 312, 246, 342, 225, 321, 247, 343)(217, 313, 235, 331, 222, 318, 240, 336)(218, 314, 242, 338, 223, 319, 244, 340)(220, 316, 253, 349, 265, 361, 248, 344)(226, 322, 236, 332, 228, 324, 241, 337)(227, 323, 243, 339, 229, 325, 245, 341)(232, 328, 259, 355, 266, 362, 238, 334)(249, 345, 269, 365, 257, 353, 272, 368)(250, 346, 278, 374, 258, 354, 279, 375)(251, 347, 267, 363, 255, 351, 274, 370)(252, 348, 276, 372, 256, 352, 277, 373)(254, 350, 283, 379, 285, 381, 271, 367)(260, 356, 270, 366, 261, 357, 273, 369)(262, 358, 268, 364, 263, 359, 275, 371)(264, 360, 282, 378, 286, 382, 280, 376)(281, 377, 288, 384, 284, 380, 287, 383)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 212)(8, 194)(9, 217)(10, 220)(11, 222)(12, 224)(13, 196)(14, 226)(15, 228)(16, 197)(17, 233)(18, 198)(19, 235)(20, 238)(21, 240)(22, 242)(23, 244)(24, 200)(25, 249)(26, 201)(27, 251)(28, 254)(29, 255)(30, 257)(31, 203)(32, 259)(33, 205)(34, 260)(35, 206)(36, 261)(37, 207)(38, 262)(39, 263)(40, 208)(41, 265)(42, 210)(43, 267)(44, 211)(45, 269)(46, 271)(47, 272)(48, 274)(49, 213)(50, 276)(51, 214)(52, 277)(53, 215)(54, 278)(55, 279)(56, 216)(57, 231)(58, 218)(59, 229)(60, 219)(61, 225)(62, 275)(63, 227)(64, 221)(65, 230)(66, 223)(67, 283)(68, 280)(69, 282)(70, 284)(71, 281)(72, 232)(73, 285)(74, 234)(75, 247)(76, 236)(77, 245)(78, 237)(79, 250)(80, 243)(81, 239)(82, 246)(83, 241)(84, 286)(85, 264)(86, 288)(87, 287)(88, 248)(89, 252)(90, 253)(91, 258)(92, 256)(93, 268)(94, 266)(95, 270)(96, 273)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 12, 96 ), ( 12, 96, 12, 96, 12, 96, 12, 96 ) }
Outer automorphisms :: reflexible
Dual of E28.2194
Graph:: simple bipartite
	v = 120 e = 192 f = 18
	degree seq :: [ 2^96, 8^24 ]

E28.2196 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 48})
Quotient :: dipole
Aut^+ = C3 x QD32 (small group id <96, 62>)
Aut   = $<192, 473>$ (small group id <192, 473>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1 * Y3^2 * Y1^-1, (Y3 * Y2^-1)^4, Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, (Y3^-1 * Y1^-3)^2, (Y1^-2 * Y3 * Y1^-1)^2, Y1^-3 * Y3^-1 * Y1 * Y3 * Y1^-4, Y3 * Y1^2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-2 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 17, 113, 41, 137, 73, 169, 61, 157, 27, 123, 51, 147, 80, 176, 64, 160, 87, 183, 95, 191, 91, 187, 59, 155, 86, 182, 63, 159, 29, 125, 52, 148, 81, 177, 94, 190, 89, 185, 62, 158, 28, 124, 10, 106, 21, 117, 45, 141, 76, 172, 93, 189, 92, 188, 60, 156, 26, 122, 50, 146, 79, 175, 65, 161, 88, 184, 96, 192, 90, 186, 58, 154, 85, 181, 66, 162, 31, 127, 54, 150, 83, 179, 70, 166, 35, 131, 13, 109, 4, 100)(3, 99, 9, 105, 25, 121, 57, 153, 75, 171, 53, 149, 22, 118, 7, 103, 20, 116, 49, 145, 36, 132, 71, 167, 82, 178, 46, 142, 18, 114, 44, 140, 38, 134, 14, 110, 37, 133, 72, 168, 77, 173, 42, 138, 40, 136, 16, 112, 5, 101, 15, 111, 39, 135, 69, 165, 74, 170, 56, 152, 24, 120, 8, 104, 23, 119, 55, 151, 34, 130, 68, 164, 84, 180, 48, 144, 19, 115, 47, 143, 33, 129, 12, 108, 32, 128, 67, 163, 78, 174, 43, 139, 30, 126, 11, 107)(193, 289)(194, 290)(195, 291)(196, 292)(197, 293)(198, 294)(199, 295)(200, 296)(201, 297)(202, 298)(203, 299)(204, 300)(205, 301)(206, 302)(207, 303)(208, 304)(209, 305)(210, 306)(211, 307)(212, 308)(213, 309)(214, 310)(215, 311)(216, 312)(217, 313)(218, 314)(219, 315)(220, 316)(221, 317)(222, 318)(223, 319)(224, 320)(225, 321)(226, 322)(227, 323)(228, 324)(229, 325)(230, 326)(231, 327)(232, 328)(233, 329)(234, 330)(235, 331)(236, 332)(237, 333)(238, 334)(239, 335)(240, 336)(241, 337)(242, 338)(243, 339)(244, 340)(245, 341)(246, 342)(247, 343)(248, 344)(249, 345)(250, 346)(251, 347)(252, 348)(253, 349)(254, 350)(255, 351)(256, 352)(257, 353)(258, 354)(259, 355)(260, 356)(261, 357)(262, 358)(263, 359)(264, 360)(265, 361)(266, 362)(267, 363)(268, 364)(269, 365)(270, 366)(271, 367)(272, 368)(273, 369)(274, 370)(275, 371)(276, 372)(277, 373)(278, 374)(279, 375)(280, 376)(281, 377)(282, 378)(283, 379)(284, 380)(285, 381)(286, 382)(287, 383)(288, 384)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 210)(7, 213)(8, 194)(9, 218)(10, 197)(11, 221)(12, 220)(13, 226)(14, 196)(15, 219)(16, 223)(17, 234)(18, 237)(19, 198)(20, 242)(21, 200)(22, 244)(23, 243)(24, 246)(25, 250)(26, 207)(27, 201)(28, 206)(29, 208)(30, 256)(31, 203)(32, 252)(33, 255)(34, 254)(35, 261)(36, 205)(37, 253)(38, 258)(39, 251)(40, 257)(41, 266)(42, 268)(43, 209)(44, 271)(45, 211)(46, 273)(47, 272)(48, 275)(49, 277)(50, 215)(51, 212)(52, 216)(53, 279)(54, 214)(55, 278)(56, 280)(57, 227)(58, 231)(59, 217)(60, 229)(61, 224)(62, 228)(63, 230)(64, 232)(65, 222)(66, 225)(67, 282)(68, 284)(69, 281)(70, 269)(71, 265)(72, 283)(73, 260)(74, 285)(75, 233)(76, 235)(77, 286)(78, 262)(79, 239)(80, 236)(81, 240)(82, 287)(83, 238)(84, 288)(85, 247)(86, 241)(87, 248)(88, 245)(89, 249)(90, 264)(91, 259)(92, 263)(93, 267)(94, 270)(95, 276)(96, 274)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2193
Graph:: simple bipartite
	v = 98 e = 192 f = 40
	degree seq :: [ 2^96, 96^2 ]

E28.2197 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 48})
Quotient :: dipole
Aut^+ = C3 x QD32 (small group id <96, 62>)
Aut   = $<192, 473>$ (small group id <192, 473>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y1^-1 * Y3^-1, (R * Y1)^2, Y1^4, (R * Y3)^2, Y3^-1 * Y2^-1 * Y1^2 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y3^-1 * Y1 * Y2 * Y1^-1, Y3 * R * Y2^-1 * Y1^-1 * R * Y2^-1, Y2 * Y3^-1 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1, Y1 * Y2^-3 * Y3^-1 * Y2^-3, Y2 * Y1 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y3 * Y2 * Y1^-1 * Y2 * Y3 * Y2^-1 * Y1^-1, Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y1^-1, Y2^-3 * Y1^-1 * Y2^-3 * Y3, Y2^-3 * Y3 * Y2^4 * Y3 * Y2^-1, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 4, 100)(3, 99, 9, 105, 17, 113, 11, 107)(5, 101, 14, 110, 18, 114, 15, 111)(7, 103, 19, 115, 12, 108, 21, 117)(8, 104, 22, 118, 13, 109, 23, 119)(10, 106, 27, 123, 41, 137, 29, 125)(16, 112, 38, 134, 42, 138, 39, 135)(20, 116, 45, 141, 32, 128, 47, 143)(24, 120, 54, 150, 33, 129, 55, 151)(25, 121, 43, 139, 30, 126, 48, 144)(26, 122, 50, 146, 31, 127, 52, 148)(28, 124, 61, 157, 73, 169, 56, 152)(34, 130, 44, 140, 36, 132, 49, 145)(35, 131, 51, 147, 37, 133, 53, 149)(40, 136, 67, 163, 74, 170, 46, 142)(57, 153, 77, 173, 65, 161, 80, 176)(58, 154, 86, 182, 66, 162, 87, 183)(59, 155, 75, 171, 63, 159, 82, 178)(60, 156, 84, 180, 64, 160, 85, 181)(62, 158, 91, 187, 93, 189, 79, 175)(68, 164, 78, 174, 69, 165, 81, 177)(70, 166, 76, 172, 71, 167, 83, 179)(72, 168, 90, 186, 94, 190, 88, 184)(89, 185, 96, 192, 92, 188, 95, 191)(193, 289, 195, 291, 202, 298, 220, 316, 254, 350, 275, 371, 241, 337, 213, 309, 240, 336, 274, 370, 246, 342, 278, 374, 288, 384, 273, 369, 239, 335, 272, 368, 243, 339, 214, 310, 242, 338, 276, 372, 286, 382, 266, 362, 234, 330, 210, 306, 198, 294, 209, 305, 233, 329, 265, 361, 285, 381, 268, 364, 236, 332, 211, 307, 235, 331, 267, 363, 247, 343, 279, 375, 287, 383, 270, 366, 237, 333, 269, 365, 245, 341, 215, 311, 244, 340, 277, 373, 264, 360, 232, 328, 208, 304, 197, 293)(194, 290, 199, 295, 212, 308, 238, 334, 271, 367, 250, 346, 218, 314, 201, 297, 217, 313, 249, 345, 231, 327, 263, 359, 281, 377, 252, 348, 219, 315, 251, 347, 229, 325, 207, 303, 228, 324, 261, 357, 282, 378, 253, 349, 225, 321, 205, 301, 196, 292, 204, 300, 224, 320, 259, 355, 283, 379, 258, 354, 223, 319, 203, 299, 222, 318, 257, 353, 230, 326, 262, 358, 284, 380, 256, 352, 221, 317, 255, 351, 227, 323, 206, 302, 226, 322, 260, 356, 280, 376, 248, 344, 216, 312, 200, 296)
	L = (1, 196)(2, 193)(3, 203)(4, 198)(5, 207)(6, 194)(7, 213)(8, 215)(9, 195)(10, 221)(11, 209)(12, 211)(13, 214)(14, 197)(15, 210)(16, 231)(17, 201)(18, 206)(19, 199)(20, 239)(21, 204)(22, 200)(23, 205)(24, 247)(25, 240)(26, 244)(27, 202)(28, 248)(29, 233)(30, 235)(31, 242)(32, 237)(33, 246)(34, 241)(35, 245)(36, 236)(37, 243)(38, 208)(39, 234)(40, 238)(41, 219)(42, 230)(43, 217)(44, 226)(45, 212)(46, 266)(47, 224)(48, 222)(49, 228)(50, 218)(51, 227)(52, 223)(53, 229)(54, 216)(55, 225)(56, 265)(57, 272)(58, 279)(59, 274)(60, 277)(61, 220)(62, 271)(63, 267)(64, 276)(65, 269)(66, 278)(67, 232)(68, 273)(69, 270)(70, 275)(71, 268)(72, 280)(73, 253)(74, 259)(75, 251)(76, 262)(77, 249)(78, 260)(79, 285)(80, 257)(81, 261)(82, 255)(83, 263)(84, 252)(85, 256)(86, 250)(87, 258)(88, 286)(89, 287)(90, 264)(91, 254)(92, 288)(93, 283)(94, 282)(95, 284)(96, 281)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2198
Graph:: bipartite
	v = 26 e = 192 f = 112
	degree seq :: [ 8^24, 96^2 ]

E28.2198 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 48})
Quotient :: dipole
Aut^+ = C3 x QD32 (small group id <96, 62>)
Aut   = $<192, 473>$ (small group id <192, 473>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^6, (Y3^2 * Y1^-1)^2, Y1 * Y3 * Y1^-2 * Y3^-1 * Y1, Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, (Y3^-1 * Y1^-1)^4, Y3^3 * Y1^-1 * Y3^-5 * Y1^-1, (Y3 * Y2^-1)^48 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 18, 114, 13, 109, 4, 100)(3, 99, 9, 105, 19, 115, 46, 142, 32, 128, 11, 107)(5, 101, 15, 111, 20, 116, 48, 144, 36, 132, 16, 112)(7, 103, 21, 117, 44, 140, 35, 131, 12, 108, 23, 119)(8, 104, 24, 120, 45, 141, 37, 133, 14, 110, 25, 121)(10, 106, 29, 125, 47, 143, 38, 134, 59, 155, 26, 122)(17, 113, 34, 130, 49, 145, 22, 118, 52, 148, 42, 138)(27, 123, 50, 146, 41, 137, 58, 154, 31, 127, 54, 150)(28, 124, 56, 152, 75, 171, 65, 161, 33, 129, 57, 153)(30, 126, 63, 159, 76, 172, 66, 162, 86, 182, 61, 157)(39, 135, 51, 147, 77, 173, 68, 164, 40, 136, 55, 151)(43, 139, 71, 167, 78, 174, 70, 166, 80, 176, 73, 169)(53, 149, 81, 177, 72, 168, 83, 179, 67, 163, 79, 175)(60, 156, 85, 181, 62, 158, 84, 180, 69, 165, 87, 183)(64, 160, 91, 187, 93, 189, 88, 184, 96, 192, 89, 185)(74, 170, 90, 186, 94, 190, 92, 188, 95, 191, 82, 178)(193, 289)(194, 290)(195, 291)(196, 292)(197, 293)(198, 294)(199, 295)(200, 296)(201, 297)(202, 298)(203, 299)(204, 300)(205, 301)(206, 302)(207, 303)(208, 304)(209, 305)(210, 306)(211, 307)(212, 308)(213, 309)(214, 310)(215, 311)(216, 312)(217, 313)(218, 314)(219, 315)(220, 316)(221, 317)(222, 318)(223, 319)(224, 320)(225, 321)(226, 322)(227, 323)(228, 324)(229, 325)(230, 326)(231, 327)(232, 328)(233, 329)(234, 330)(235, 331)(236, 332)(237, 333)(238, 334)(239, 335)(240, 336)(241, 337)(242, 338)(243, 339)(244, 340)(245, 341)(246, 342)(247, 343)(248, 344)(249, 345)(250, 346)(251, 347)(252, 348)(253, 349)(254, 350)(255, 351)(256, 352)(257, 353)(258, 354)(259, 355)(260, 356)(261, 357)(262, 358)(263, 359)(264, 360)(265, 361)(266, 362)(267, 363)(268, 364)(269, 365)(270, 366)(271, 367)(272, 368)(273, 369)(274, 370)(275, 371)(276, 372)(277, 373)(278, 374)(279, 375)(280, 376)(281, 377)(282, 378)(283, 379)(284, 380)(285, 381)(286, 382)(287, 383)(288, 384)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 211)(7, 214)(8, 194)(9, 219)(10, 222)(11, 223)(12, 226)(13, 224)(14, 196)(15, 231)(16, 232)(17, 197)(18, 236)(19, 239)(20, 198)(21, 242)(22, 245)(23, 246)(24, 248)(25, 249)(26, 200)(27, 240)(28, 201)(29, 237)(30, 256)(31, 207)(32, 251)(33, 203)(34, 259)(35, 250)(36, 205)(37, 257)(38, 206)(39, 262)(40, 263)(41, 208)(42, 264)(43, 209)(44, 234)(45, 210)(46, 233)(47, 268)(48, 269)(49, 212)(50, 229)(51, 213)(52, 228)(53, 274)(54, 216)(55, 215)(56, 276)(57, 277)(58, 217)(59, 278)(60, 218)(61, 220)(62, 221)(63, 267)(64, 275)(65, 279)(66, 225)(67, 284)(68, 227)(69, 230)(70, 280)(71, 283)(72, 282)(73, 281)(74, 235)(75, 238)(76, 285)(77, 265)(78, 241)(79, 243)(80, 244)(81, 260)(82, 253)(83, 247)(84, 286)(85, 266)(86, 288)(87, 287)(88, 252)(89, 254)(90, 255)(91, 261)(92, 258)(93, 271)(94, 270)(95, 272)(96, 273)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 8, 96 ), ( 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96 ) }
Outer automorphisms :: reflexible
Dual of E28.2197
Graph:: simple bipartite
	v = 112 e = 192 f = 26
	degree seq :: [ 2^96, 12^16 ]

E28.2199 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 3, 3, 3})
Quotient :: edge^2
Aut^+ = (C6 x C6) : C3 (small group id <108, 22>)
Aut   = ((C6 x C6) : C3) : C2 (small group id <216, 92>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3^3, Y1^3, (R * Y3)^2, R * Y1 * R * Y2, (Y1 * Y3)^3, Y3^-1 * Y1 * Y3 * Y2 * Y1^-1 * Y2^-1, Y2 * Y1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1, Y1 * Y3 * Y1^-1 * Y2^-1 * Y3^-1 * Y2, (Y1^-1 * Y3^-1 * Y2^-1)^2, Y1 * Y3^-1 * Y2 * Y1^-1 * Y3 * Y2^-1, (Y1 * Y2)^3, (Y2^-1 * Y3^-1)^3, Y1 * Y2 * Y3 * Y2 * Y1^-1 * Y3^-1 * Y2, Y1 * Y3^-1 * Y2^-1 * Y1 * Y3 * Y1 * Y2, Y2^-1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1^-1 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 109, 4, 112, 7, 115)(2, 110, 9, 117, 11, 119)(3, 111, 13, 121, 15, 123)(5, 113, 21, 129, 23, 131)(6, 114, 25, 133, 27, 135)(8, 116, 33, 141, 35, 143)(10, 118, 41, 149, 43, 151)(12, 120, 37, 145, 50, 158)(14, 122, 56, 164, 58, 166)(16, 124, 63, 171, 65, 173)(17, 125, 66, 174, 68, 176)(18, 126, 69, 177, 71, 179)(19, 127, 72, 180, 74, 182)(20, 128, 75, 183, 77, 185)(22, 130, 70, 178, 81, 189)(24, 132, 39, 147, 86, 194)(26, 134, 90, 198, 62, 170)(28, 136, 49, 157, 92, 200)(29, 137, 93, 201, 94, 202)(30, 138, 57, 165, 36, 144)(31, 139, 96, 204, 52, 160)(32, 140, 67, 175, 60, 168)(34, 142, 88, 196, 98, 206)(38, 146, 61, 169, 100, 208)(40, 148, 80, 188, 102, 210)(42, 150, 105, 213, 53, 161)(44, 152, 89, 197, 106, 214)(45, 153, 85, 193, 107, 215)(46, 154, 97, 205, 78, 186)(47, 155, 108, 216, 87, 195)(48, 156, 64, 172, 95, 203)(51, 159, 91, 199, 73, 181)(54, 162, 76, 184, 103, 211)(55, 163, 82, 190, 104, 212)(59, 167, 79, 187, 99, 207)(83, 191, 101, 209, 84, 192)(217, 218, 221)(219, 228, 230)(220, 232, 234)(222, 240, 242)(223, 244, 246)(224, 248, 250)(225, 252, 254)(226, 256, 258)(227, 260, 262)(229, 267, 269)(231, 261, 276)(233, 253, 283)(235, 257, 289)(236, 284, 292)(237, 294, 295)(238, 290, 264)(239, 298, 279)(241, 303, 296)(243, 259, 297)(245, 266, 293)(247, 311, 249)(251, 299, 282)(255, 286, 268)(263, 278, 291)(265, 287, 318)(270, 308, 324)(271, 312, 314)(272, 310, 313)(273, 319, 300)(274, 322, 307)(275, 302, 320)(277, 317, 280)(281, 304, 323)(285, 301, 321)(288, 305, 316)(306, 315, 309)(325, 327, 330)(326, 332, 334)(328, 341, 343)(329, 344, 346)(331, 353, 355)(333, 361, 363)(335, 369, 371)(336, 372, 373)(337, 376, 378)(338, 379, 381)(339, 383, 385)(340, 386, 388)(342, 380, 394)(345, 391, 404)(347, 407, 375)(348, 408, 409)(349, 362, 412)(350, 413, 356)(351, 370, 390)(352, 415, 410)(354, 384, 405)(357, 411, 382)(358, 416, 421)(359, 395, 423)(360, 377, 414)(364, 418, 425)(365, 403, 427)(366, 428, 392)(367, 387, 374)(368, 420, 426)(389, 400, 430)(393, 401, 424)(396, 406, 432)(397, 422, 399)(398, 431, 417)(402, 419, 429)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 8^3 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2202
Graph:: simple bipartite
	v = 108 e = 216 f = 54
	degree seq :: [ 3^72, 6^36 ]

E28.2200 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 3, 3, 3})
Quotient :: edge^2
Aut^+ = (C6 x C6) : C3 (small group id <108, 22>)
Aut   = ((C6 x C6) : C3) : C2 (small group id <216, 92>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1^-1)^3, (Y3 * Y1^-1)^3, Y1^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y2, (Y2 * Y1^-1)^3, Y3 * Y1 * Y2^-1 * Y3 * Y2 * Y1^-1, (Y3 * Y1^-1)^3, Y2 * Y3 * Y2^-1 * Y1 * Y3 * Y1^-1, (Y2 * Y1^-1)^3, (Y3 * Y2^-1)^3, (Y2^-1 * Y1^-1)^3, Y1^-1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2, Y1^-1 * Y2^-1 * Y3 * Y2 * Y1 * Y2 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 109, 4, 112)(2, 110, 8, 116)(3, 111, 11, 119)(5, 113, 18, 126)(6, 114, 21, 129)(7, 115, 24, 132)(9, 117, 31, 139)(10, 118, 34, 142)(12, 120, 39, 147)(13, 121, 42, 150)(14, 122, 44, 152)(15, 123, 26, 134)(16, 124, 37, 145)(17, 125, 45, 153)(19, 127, 55, 163)(20, 128, 47, 155)(22, 130, 60, 168)(23, 131, 61, 169)(25, 133, 65, 173)(27, 135, 41, 149)(28, 136, 51, 159)(29, 137, 63, 171)(30, 138, 69, 177)(32, 140, 74, 182)(33, 141, 75, 183)(35, 143, 79, 187)(36, 144, 43, 151)(38, 146, 76, 184)(40, 148, 84, 192)(46, 154, 53, 161)(48, 156, 58, 166)(49, 157, 92, 200)(50, 158, 93, 201)(52, 160, 67, 175)(54, 162, 95, 203)(56, 164, 97, 205)(57, 165, 81, 189)(59, 167, 99, 207)(62, 170, 68, 176)(64, 172, 85, 193)(66, 174, 104, 212)(70, 178, 72, 180)(71, 179, 101, 209)(73, 181, 107, 215)(77, 185, 80, 188)(78, 186, 86, 194)(82, 190, 83, 191)(87, 195, 94, 202)(88, 196, 105, 213)(89, 197, 96, 204)(90, 198, 98, 206)(91, 199, 100, 208)(102, 210, 103, 211)(106, 214, 108, 216)(217, 218, 221)(219, 226, 228)(220, 229, 231)(222, 236, 238)(223, 239, 241)(224, 242, 244)(225, 246, 248)(227, 252, 254)(230, 259, 255)(232, 263, 264)(233, 265, 266)(234, 267, 258)(235, 270, 249)(237, 273, 274)(240, 278, 280)(243, 284, 281)(245, 285, 286)(247, 287, 288)(250, 292, 260)(251, 275, 289)(253, 297, 276)(256, 282, 272)(257, 277, 301)(261, 303, 304)(262, 305, 291)(268, 310, 309)(269, 311, 293)(271, 312, 296)(279, 317, 290)(283, 308, 321)(294, 315, 324)(295, 316, 322)(298, 319, 313)(299, 320, 306)(300, 318, 314)(302, 307, 323)(325, 327, 330)(326, 331, 333)(328, 338, 340)(329, 341, 343)(332, 351, 353)(334, 357, 359)(335, 361, 352)(336, 354, 364)(337, 365, 355)(339, 369, 370)(342, 376, 377)(344, 380, 374)(345, 375, 368)(346, 383, 347)(348, 387, 366)(349, 378, 390)(350, 391, 379)(356, 397, 373)(358, 401, 402)(360, 404, 403)(362, 393, 406)(363, 395, 407)(367, 399, 410)(371, 414, 412)(372, 415, 385)(381, 422, 417)(382, 423, 386)(384, 424, 392)(388, 419, 426)(389, 420, 427)(394, 430, 416)(396, 431, 411)(398, 432, 418)(400, 425, 408)(405, 421, 429)(409, 413, 428)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 12^3 ), ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E28.2201
Graph:: simple bipartite
	v = 126 e = 216 f = 36
	degree seq :: [ 3^72, 4^54 ]

E28.2201 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 3, 3, 3})
Quotient :: loop^2
Aut^+ = (C6 x C6) : C3 (small group id <108, 22>)
Aut   = ((C6 x C6) : C3) : C2 (small group id <216, 92>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3^3, Y1^3, (R * Y3)^2, R * Y1 * R * Y2, (Y1 * Y3)^3, Y3^-1 * Y1 * Y3 * Y2 * Y1^-1 * Y2^-1, Y2 * Y1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1, Y1 * Y3 * Y1^-1 * Y2^-1 * Y3^-1 * Y2, (Y1^-1 * Y3^-1 * Y2^-1)^2, Y1 * Y3^-1 * Y2 * Y1^-1 * Y3 * Y2^-1, (Y1 * Y2)^3, (Y2^-1 * Y3^-1)^3, Y1 * Y2 * Y3 * Y2 * Y1^-1 * Y3^-1 * Y2, Y1 * Y3^-1 * Y2^-1 * Y1 * Y3 * Y1 * Y2, Y2^-1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1^-1 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 109, 217, 325, 4, 112, 220, 328, 7, 115, 223, 331)(2, 110, 218, 326, 9, 117, 225, 333, 11, 119, 227, 335)(3, 111, 219, 327, 13, 121, 229, 337, 15, 123, 231, 339)(5, 113, 221, 329, 21, 129, 237, 345, 23, 131, 239, 347)(6, 114, 222, 330, 25, 133, 241, 349, 27, 135, 243, 351)(8, 116, 224, 332, 33, 141, 249, 357, 35, 143, 251, 359)(10, 118, 226, 334, 41, 149, 257, 365, 43, 151, 259, 367)(12, 120, 228, 336, 37, 145, 253, 361, 50, 158, 266, 374)(14, 122, 230, 338, 56, 164, 272, 380, 58, 166, 274, 382)(16, 124, 232, 340, 63, 171, 279, 387, 65, 173, 281, 389)(17, 125, 233, 341, 66, 174, 282, 390, 68, 176, 284, 392)(18, 126, 234, 342, 69, 177, 285, 393, 71, 179, 287, 395)(19, 127, 235, 343, 72, 180, 288, 396, 74, 182, 290, 398)(20, 128, 236, 344, 75, 183, 291, 399, 77, 185, 293, 401)(22, 130, 238, 346, 70, 178, 286, 394, 81, 189, 297, 405)(24, 132, 240, 348, 39, 147, 255, 363, 86, 194, 302, 410)(26, 134, 242, 350, 90, 198, 306, 414, 62, 170, 278, 386)(28, 136, 244, 352, 49, 157, 265, 373, 92, 200, 308, 416)(29, 137, 245, 353, 93, 201, 309, 417, 94, 202, 310, 418)(30, 138, 246, 354, 57, 165, 273, 381, 36, 144, 252, 360)(31, 139, 247, 355, 96, 204, 312, 420, 52, 160, 268, 376)(32, 140, 248, 356, 67, 175, 283, 391, 60, 168, 276, 384)(34, 142, 250, 358, 88, 196, 304, 412, 98, 206, 314, 422)(38, 146, 254, 362, 61, 169, 277, 385, 100, 208, 316, 424)(40, 148, 256, 364, 80, 188, 296, 404, 102, 210, 318, 426)(42, 150, 258, 366, 105, 213, 321, 429, 53, 161, 269, 377)(44, 152, 260, 368, 89, 197, 305, 413, 106, 214, 322, 430)(45, 153, 261, 369, 85, 193, 301, 409, 107, 215, 323, 431)(46, 154, 262, 370, 97, 205, 313, 421, 78, 186, 294, 402)(47, 155, 263, 371, 108, 216, 324, 432, 87, 195, 303, 411)(48, 156, 264, 372, 64, 172, 280, 388, 95, 203, 311, 419)(51, 159, 267, 375, 91, 199, 307, 415, 73, 181, 289, 397)(54, 162, 270, 378, 76, 184, 292, 400, 103, 211, 319, 427)(55, 163, 271, 379, 82, 190, 298, 406, 104, 212, 320, 428)(59, 167, 275, 383, 79, 187, 295, 403, 99, 207, 315, 423)(83, 191, 299, 407, 101, 209, 317, 425, 84, 192, 300, 408)
	L = (1, 110)(2, 113)(3, 120)(4, 124)(5, 109)(6, 132)(7, 136)(8, 140)(9, 144)(10, 148)(11, 152)(12, 122)(13, 159)(14, 111)(15, 153)(16, 126)(17, 145)(18, 112)(19, 149)(20, 176)(21, 186)(22, 182)(23, 190)(24, 134)(25, 195)(26, 114)(27, 151)(28, 138)(29, 158)(30, 115)(31, 203)(32, 142)(33, 139)(34, 116)(35, 191)(36, 146)(37, 175)(38, 117)(39, 178)(40, 150)(41, 181)(42, 118)(43, 189)(44, 154)(45, 168)(46, 119)(47, 170)(48, 130)(49, 179)(50, 185)(51, 161)(52, 147)(53, 121)(54, 200)(55, 204)(56, 202)(57, 211)(58, 214)(59, 194)(60, 123)(61, 209)(62, 183)(63, 131)(64, 169)(65, 196)(66, 143)(67, 125)(68, 184)(69, 193)(70, 160)(71, 210)(72, 197)(73, 127)(74, 156)(75, 155)(76, 128)(77, 137)(78, 187)(79, 129)(80, 133)(81, 135)(82, 171)(83, 174)(84, 165)(85, 213)(86, 212)(87, 188)(88, 215)(89, 208)(90, 207)(91, 166)(92, 216)(93, 198)(94, 205)(95, 141)(96, 206)(97, 164)(98, 163)(99, 201)(100, 180)(101, 172)(102, 157)(103, 192)(104, 167)(105, 177)(106, 199)(107, 173)(108, 162)(217, 327)(218, 332)(219, 330)(220, 341)(221, 344)(222, 325)(223, 353)(224, 334)(225, 361)(226, 326)(227, 369)(228, 372)(229, 376)(230, 379)(231, 383)(232, 386)(233, 343)(234, 380)(235, 328)(236, 346)(237, 391)(238, 329)(239, 407)(240, 408)(241, 362)(242, 413)(243, 370)(244, 415)(245, 355)(246, 384)(247, 331)(248, 350)(249, 411)(250, 416)(251, 395)(252, 377)(253, 363)(254, 412)(255, 333)(256, 418)(257, 403)(258, 428)(259, 387)(260, 420)(261, 371)(262, 390)(263, 335)(264, 373)(265, 336)(266, 367)(267, 347)(268, 378)(269, 414)(270, 337)(271, 381)(272, 394)(273, 338)(274, 357)(275, 385)(276, 405)(277, 339)(278, 388)(279, 374)(280, 340)(281, 400)(282, 351)(283, 404)(284, 366)(285, 401)(286, 342)(287, 423)(288, 406)(289, 422)(290, 431)(291, 397)(292, 430)(293, 424)(294, 419)(295, 427)(296, 345)(297, 354)(298, 432)(299, 375)(300, 409)(301, 348)(302, 352)(303, 382)(304, 349)(305, 356)(306, 360)(307, 410)(308, 421)(309, 398)(310, 425)(311, 429)(312, 426)(313, 358)(314, 399)(315, 359)(316, 393)(317, 364)(318, 368)(319, 365)(320, 392)(321, 402)(322, 389)(323, 417)(324, 396)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.2200
Transitivity :: VT+
Graph:: simple
	v = 36 e = 216 f = 126
	degree seq :: [ 12^36 ]

E28.2202 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 3, 3, 3})
Quotient :: loop^2
Aut^+ = (C6 x C6) : C3 (small group id <108, 22>)
Aut   = ((C6 x C6) : C3) : C2 (small group id <216, 92>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1^-1)^3, (Y3 * Y1^-1)^3, Y1^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y2, (Y2 * Y1^-1)^3, Y3 * Y1 * Y2^-1 * Y3 * Y2 * Y1^-1, (Y3 * Y1^-1)^3, Y2 * Y3 * Y2^-1 * Y1 * Y3 * Y1^-1, (Y2 * Y1^-1)^3, (Y3 * Y2^-1)^3, (Y2^-1 * Y1^-1)^3, Y1^-1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2, Y1^-1 * Y2^-1 * Y3 * Y2 * Y1 * Y2 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 109, 217, 325, 4, 112, 220, 328)(2, 110, 218, 326, 8, 116, 224, 332)(3, 111, 219, 327, 11, 119, 227, 335)(5, 113, 221, 329, 18, 126, 234, 342)(6, 114, 222, 330, 21, 129, 237, 345)(7, 115, 223, 331, 24, 132, 240, 348)(9, 117, 225, 333, 31, 139, 247, 355)(10, 118, 226, 334, 34, 142, 250, 358)(12, 120, 228, 336, 39, 147, 255, 363)(13, 121, 229, 337, 42, 150, 258, 366)(14, 122, 230, 338, 44, 152, 260, 368)(15, 123, 231, 339, 26, 134, 242, 350)(16, 124, 232, 340, 37, 145, 253, 361)(17, 125, 233, 341, 45, 153, 261, 369)(19, 127, 235, 343, 55, 163, 271, 379)(20, 128, 236, 344, 47, 155, 263, 371)(22, 130, 238, 346, 60, 168, 276, 384)(23, 131, 239, 347, 61, 169, 277, 385)(25, 133, 241, 349, 65, 173, 281, 389)(27, 135, 243, 351, 41, 149, 257, 365)(28, 136, 244, 352, 51, 159, 267, 375)(29, 137, 245, 353, 63, 171, 279, 387)(30, 138, 246, 354, 69, 177, 285, 393)(32, 140, 248, 356, 74, 182, 290, 398)(33, 141, 249, 357, 75, 183, 291, 399)(35, 143, 251, 359, 79, 187, 295, 403)(36, 144, 252, 360, 43, 151, 259, 367)(38, 146, 254, 362, 76, 184, 292, 400)(40, 148, 256, 364, 84, 192, 300, 408)(46, 154, 262, 370, 53, 161, 269, 377)(48, 156, 264, 372, 58, 166, 274, 382)(49, 157, 265, 373, 92, 200, 308, 416)(50, 158, 266, 374, 93, 201, 309, 417)(52, 160, 268, 376, 67, 175, 283, 391)(54, 162, 270, 378, 95, 203, 311, 419)(56, 164, 272, 380, 97, 205, 313, 421)(57, 165, 273, 381, 81, 189, 297, 405)(59, 167, 275, 383, 99, 207, 315, 423)(62, 170, 278, 386, 68, 176, 284, 392)(64, 172, 280, 388, 85, 193, 301, 409)(66, 174, 282, 390, 104, 212, 320, 428)(70, 178, 286, 394, 72, 180, 288, 396)(71, 179, 287, 395, 101, 209, 317, 425)(73, 181, 289, 397, 107, 215, 323, 431)(77, 185, 293, 401, 80, 188, 296, 404)(78, 186, 294, 402, 86, 194, 302, 410)(82, 190, 298, 406, 83, 191, 299, 407)(87, 195, 303, 411, 94, 202, 310, 418)(88, 196, 304, 412, 105, 213, 321, 429)(89, 197, 305, 413, 96, 204, 312, 420)(90, 198, 306, 414, 98, 206, 314, 422)(91, 199, 307, 415, 100, 208, 316, 424)(102, 210, 318, 426, 103, 211, 319, 427)(106, 214, 322, 430, 108, 216, 324, 432)
	L = (1, 110)(2, 113)(3, 118)(4, 121)(5, 109)(6, 128)(7, 131)(8, 134)(9, 138)(10, 120)(11, 144)(12, 111)(13, 123)(14, 151)(15, 112)(16, 155)(17, 157)(18, 159)(19, 162)(20, 130)(21, 165)(22, 114)(23, 133)(24, 170)(25, 115)(26, 136)(27, 176)(28, 116)(29, 177)(30, 140)(31, 179)(32, 117)(33, 127)(34, 184)(35, 167)(36, 146)(37, 189)(38, 119)(39, 122)(40, 174)(41, 169)(42, 126)(43, 147)(44, 142)(45, 195)(46, 197)(47, 156)(48, 124)(49, 158)(50, 125)(51, 150)(52, 202)(53, 203)(54, 141)(55, 204)(56, 148)(57, 166)(58, 129)(59, 181)(60, 145)(61, 193)(62, 172)(63, 209)(64, 132)(65, 135)(66, 164)(67, 200)(68, 173)(69, 178)(70, 137)(71, 180)(72, 139)(73, 143)(74, 171)(75, 154)(76, 152)(77, 161)(78, 207)(79, 208)(80, 163)(81, 168)(82, 211)(83, 212)(84, 210)(85, 149)(86, 199)(87, 196)(88, 153)(89, 183)(90, 191)(91, 215)(92, 213)(93, 160)(94, 201)(95, 185)(96, 188)(97, 190)(98, 192)(99, 216)(100, 214)(101, 182)(102, 206)(103, 205)(104, 198)(105, 175)(106, 187)(107, 194)(108, 186)(217, 327)(218, 331)(219, 330)(220, 338)(221, 341)(222, 325)(223, 333)(224, 351)(225, 326)(226, 357)(227, 361)(228, 354)(229, 365)(230, 340)(231, 369)(232, 328)(233, 343)(234, 376)(235, 329)(236, 380)(237, 375)(238, 383)(239, 346)(240, 387)(241, 378)(242, 391)(243, 353)(244, 335)(245, 332)(246, 364)(247, 337)(248, 397)(249, 359)(250, 401)(251, 334)(252, 404)(253, 352)(254, 393)(255, 395)(256, 336)(257, 355)(258, 348)(259, 399)(260, 345)(261, 370)(262, 339)(263, 414)(264, 415)(265, 356)(266, 344)(267, 368)(268, 377)(269, 342)(270, 390)(271, 350)(272, 374)(273, 422)(274, 423)(275, 347)(276, 424)(277, 372)(278, 382)(279, 366)(280, 419)(281, 420)(282, 349)(283, 379)(284, 384)(285, 406)(286, 430)(287, 407)(288, 431)(289, 373)(290, 432)(291, 410)(292, 425)(293, 402)(294, 358)(295, 360)(296, 403)(297, 421)(298, 362)(299, 363)(300, 400)(301, 413)(302, 367)(303, 396)(304, 371)(305, 428)(306, 412)(307, 385)(308, 394)(309, 381)(310, 398)(311, 426)(312, 427)(313, 429)(314, 417)(315, 386)(316, 392)(317, 408)(318, 388)(319, 389)(320, 409)(321, 405)(322, 416)(323, 411)(324, 418)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2199
Transitivity :: VT+
Graph:: simple
	v = 54 e = 216 f = 108
	degree seq :: [ 8^54 ]

E28.2203 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 3})
Quotient :: dipole
Aut^+ = (C6 x C6) : C3 (small group id <108, 22>)
Aut   = ((C6 x C6) : C3) : C2 (small group id <216, 95>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, (R * Y1)^2, (R * Y3)^2, (Y1 * Y3)^3, Y1 * Y3^-1 * Y2 * Y1 * Y2^-1 * Y3, (Y1 * Y2^-1)^3, (Y1 * Y3^-1)^3, (Y3 * Y2^-1)^3, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2^-1 * Y3 * Y1 * Y3^-1, (Y3^-1 * Y2^-1)^3, (Y2 * Y3^-1)^3, Y2 * Y3^-1 * Y1 * Y3 * Y2^-1 * Y1, (Y3^-1 * Y1)^3, (Y2^-1 * Y1)^3, Y2^-1 * Y3^-1 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110)(3, 111, 11, 119)(4, 112, 14, 122)(5, 113, 17, 125)(6, 114, 20, 128)(7, 115, 23, 131)(8, 116, 26, 134)(9, 117, 29, 137)(10, 118, 32, 140)(12, 120, 38, 146)(13, 121, 25, 133)(15, 123, 45, 153)(16, 124, 28, 136)(18, 126, 30, 138)(19, 127, 54, 162)(21, 129, 33, 141)(22, 130, 59, 167)(24, 132, 35, 143)(27, 135, 43, 151)(31, 139, 51, 159)(34, 142, 57, 165)(36, 144, 49, 157)(37, 145, 61, 169)(39, 147, 62, 170)(40, 148, 78, 186)(41, 149, 79, 187)(42, 150, 84, 192)(44, 152, 66, 174)(46, 154, 67, 175)(47, 155, 87, 195)(48, 156, 91, 199)(50, 158, 70, 178)(52, 160, 95, 203)(53, 161, 93, 201)(55, 163, 94, 202)(56, 164, 74, 182)(58, 166, 99, 207)(60, 168, 98, 206)(63, 171, 82, 190)(64, 172, 101, 209)(65, 173, 80, 188)(68, 176, 90, 198)(69, 177, 88, 196)(71, 179, 92, 200)(72, 180, 104, 212)(73, 181, 96, 204)(75, 183, 97, 205)(76, 184, 100, 208)(77, 185, 81, 189)(83, 191, 102, 210)(85, 193, 103, 211)(86, 194, 89, 197)(105, 213, 107, 215)(106, 214, 108, 216)(217, 325, 219, 327, 221, 329)(218, 326, 223, 331, 225, 333)(220, 328, 231, 339, 232, 340)(222, 330, 237, 345, 238, 346)(224, 332, 243, 351, 244, 352)(226, 334, 249, 357, 250, 358)(227, 335, 245, 353, 252, 360)(228, 336, 255, 363, 256, 364)(229, 337, 257, 365, 258, 366)(230, 338, 259, 367, 260, 368)(233, 341, 265, 373, 239, 347)(234, 342, 268, 376, 269, 377)(235, 343, 271, 379, 262, 370)(236, 344, 272, 380, 273, 381)(240, 348, 278, 386, 279, 387)(241, 349, 280, 388, 281, 389)(242, 350, 261, 369, 282, 390)(246, 354, 287, 395, 288, 396)(247, 355, 289, 397, 283, 391)(248, 356, 290, 398, 275, 383)(251, 359, 293, 401, 294, 402)(253, 361, 295, 403, 296, 404)(254, 362, 297, 405, 298, 406)(263, 371, 276, 384, 301, 409)(264, 372, 299, 407, 274, 382)(266, 374, 308, 416, 309, 417)(267, 375, 310, 418, 305, 413)(270, 378, 312, 420, 302, 410)(277, 385, 317, 425, 300, 408)(284, 392, 292, 400, 319, 427)(285, 393, 318, 426, 291, 399)(286, 394, 311, 419, 320, 428)(303, 411, 316, 424, 322, 430)(304, 412, 321, 429, 315, 423)(306, 414, 314, 422, 324, 432)(307, 415, 323, 431, 313, 421)
	L = (1, 220)(2, 224)(3, 228)(4, 222)(5, 234)(6, 217)(7, 240)(8, 226)(9, 246)(10, 218)(11, 251)(12, 229)(13, 219)(14, 248)(15, 262)(16, 257)(17, 266)(18, 235)(19, 221)(20, 265)(21, 274)(22, 276)(23, 254)(24, 241)(25, 223)(26, 236)(27, 283)(28, 280)(29, 286)(30, 247)(31, 225)(32, 252)(33, 291)(34, 292)(35, 253)(36, 230)(37, 227)(38, 277)(39, 238)(40, 271)(41, 264)(42, 301)(43, 302)(44, 295)(45, 305)(46, 263)(47, 231)(48, 232)(49, 242)(50, 267)(51, 233)(52, 258)(53, 237)(54, 245)(55, 299)(56, 313)(57, 314)(58, 269)(59, 316)(60, 255)(61, 239)(62, 250)(63, 289)(64, 285)(65, 319)(66, 317)(67, 284)(68, 243)(69, 244)(70, 270)(71, 281)(72, 249)(73, 318)(74, 315)(75, 288)(76, 278)(77, 275)(78, 312)(79, 304)(80, 322)(81, 273)(82, 310)(83, 256)(84, 324)(85, 268)(86, 303)(87, 259)(88, 260)(89, 306)(90, 261)(91, 282)(92, 300)(93, 272)(94, 323)(95, 296)(96, 321)(97, 309)(98, 297)(99, 320)(100, 293)(101, 307)(102, 279)(103, 287)(104, 290)(105, 294)(106, 311)(107, 298)(108, 308)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 6^4 ), ( 6^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2205
Graph:: simple bipartite
	v = 90 e = 216 f = 72
	degree seq :: [ 4^54, 6^36 ]

E28.2204 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 3})
Quotient :: dipole
Aut^+ = (C6 x C6) : C3 (small group id <108, 22>)
Aut   = ((C6 x C6) : C3) : C2 (small group id <216, 95>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, (R * Y3)^2, (R * Y1)^2, Y1 * Y3^-1 * Y2^-1 * Y1 * Y2 * Y3, (Y1 * Y3^-1)^3, (Y1 * Y3)^3, (Y1 * Y2)^3, (Y3 * Y2^-1)^3, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y2^-1, Y3 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y2, (Y3^-1 * Y1)^3, (Y2 * Y3^-1)^3, (Y3^-1 * Y2^-1)^3, (Y2^-1 * Y1)^3, R * Y3^-1 * Y1 * Y3 * R * Y2^-1 * Y1 * Y2 ]
Map:: polyhedral non-degenerate
	R = (1, 109, 2, 110)(3, 111, 11, 119)(4, 112, 14, 122)(5, 113, 17, 125)(6, 114, 20, 128)(7, 115, 23, 131)(8, 116, 26, 134)(9, 117, 29, 137)(10, 118, 32, 140)(12, 120, 24, 132)(13, 121, 40, 148)(15, 123, 27, 135)(16, 124, 48, 156)(18, 126, 52, 160)(19, 127, 31, 139)(21, 129, 58, 166)(22, 130, 34, 142)(25, 133, 37, 145)(28, 136, 44, 152)(30, 138, 50, 158)(33, 141, 56, 164)(35, 143, 61, 169)(36, 144, 45, 153)(38, 146, 77, 185)(39, 147, 81, 189)(41, 149, 64, 172)(42, 150, 80, 188)(43, 151, 66, 174)(46, 154, 86, 194)(47, 155, 89, 197)(49, 157, 88, 196)(51, 159, 70, 178)(53, 161, 91, 199)(54, 162, 72, 180)(55, 163, 96, 204)(57, 165, 74, 182)(59, 167, 97, 205)(60, 168, 100, 208)(62, 170, 101, 209)(63, 171, 78, 186)(65, 173, 84, 192)(67, 175, 104, 212)(68, 176, 87, 195)(69, 177, 90, 198)(71, 179, 94, 202)(73, 181, 93, 201)(75, 183, 99, 207)(76, 184, 98, 206)(79, 187, 83, 191)(82, 190, 102, 210)(85, 193, 103, 211)(92, 200, 95, 203)(105, 213, 107, 215)(106, 214, 108, 216)(217, 325, 219, 327, 221, 329)(218, 326, 223, 331, 225, 333)(220, 328, 231, 339, 232, 340)(222, 330, 237, 345, 238, 346)(224, 332, 243, 351, 244, 352)(226, 334, 249, 357, 250, 358)(227, 335, 245, 353, 252, 360)(228, 336, 254, 362, 255, 363)(229, 337, 257, 365, 258, 366)(230, 338, 259, 367, 260, 368)(233, 341, 261, 369, 239, 347)(234, 342, 269, 377, 270, 378)(235, 343, 271, 379, 262, 370)(236, 344, 272, 380, 273, 381)(240, 348, 278, 386, 279, 387)(241, 349, 280, 388, 281, 389)(242, 350, 282, 390, 264, 372)(246, 354, 287, 395, 288, 396)(247, 355, 289, 397, 283, 391)(248, 356, 274, 382, 290, 398)(251, 359, 293, 401, 294, 402)(253, 361, 295, 403, 296, 404)(256, 364, 299, 407, 300, 408)(263, 371, 276, 384, 301, 409)(265, 373, 298, 406, 275, 383)(266, 374, 307, 415, 308, 416)(267, 375, 309, 417, 302, 410)(268, 376, 310, 418, 311, 419)(277, 385, 317, 425, 297, 405)(284, 392, 292, 400, 319, 427)(285, 393, 318, 426, 291, 399)(286, 394, 312, 420, 320, 428)(303, 411, 316, 424, 324, 432)(304, 412, 323, 431, 315, 423)(305, 413, 314, 422, 322, 430)(306, 414, 321, 429, 313, 421)
	L = (1, 220)(2, 224)(3, 228)(4, 222)(5, 234)(6, 217)(7, 240)(8, 226)(9, 246)(10, 218)(11, 251)(12, 229)(13, 219)(14, 248)(15, 262)(16, 257)(17, 266)(18, 235)(19, 221)(20, 252)(21, 275)(22, 276)(23, 277)(24, 241)(25, 223)(26, 236)(27, 283)(28, 280)(29, 268)(30, 247)(31, 225)(32, 261)(33, 291)(34, 292)(35, 253)(36, 242)(37, 227)(38, 238)(39, 271)(40, 239)(41, 265)(42, 301)(43, 302)(44, 299)(45, 230)(46, 263)(47, 231)(48, 295)(49, 232)(50, 267)(51, 233)(52, 286)(53, 258)(54, 237)(55, 298)(56, 313)(57, 314)(58, 315)(59, 270)(60, 254)(61, 256)(62, 250)(63, 289)(64, 285)(65, 319)(66, 320)(67, 284)(68, 243)(69, 244)(70, 245)(71, 281)(72, 249)(73, 318)(74, 316)(75, 288)(76, 278)(77, 273)(78, 312)(79, 306)(80, 322)(81, 309)(82, 255)(83, 304)(84, 324)(85, 269)(86, 303)(87, 259)(88, 260)(89, 282)(90, 264)(91, 300)(92, 274)(93, 323)(94, 296)(95, 272)(96, 321)(97, 311)(98, 293)(99, 308)(100, 317)(101, 290)(102, 279)(103, 287)(104, 305)(105, 294)(106, 310)(107, 297)(108, 307)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 6^4 ), ( 6^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2206
Graph:: simple bipartite
	v = 90 e = 216 f = 72
	degree seq :: [ 4^54, 6^36 ]

E28.2205 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 3})
Quotient :: dipole
Aut^+ = (C6 x C6) : C3 (small group id <108, 22>)
Aut   = ((C6 x C6) : C3) : C2 (small group id <216, 95>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3, Y3^3, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y1^-1 * Y2 * Y1 * Y3 * Y2^-1, Y3 * Y1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2, Y1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1 * Y2, (Y2 * Y1)^3, (Y2^-1 * Y1)^3, Y2^-1 * Y1 * Y3 * Y2 * Y3^-1 * Y1^-1, Y1 * Y2^-1 * Y3 * Y1 * Y2 * Y3, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-1 * Y1^-1 * Y2 * Y3^-1 * Y1^-1, R * Y2^-1 * R * Y1^-1 * Y2^-1 * Y1, (Y2^-1 * Y3^-1)^3, (Y1 * Y2^-1)^3, (Y2^-1 * Y1^-1)^3, (Y2 * Y3^-1)^3, Y3 * Y2 * R * Y2 * R * Y2 * Y3^-1 * Y2^-1, Y2 * R * Y2 * Y1^-1 * Y2^-1 * R * Y2^-1 * Y1^-1, Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110, 5, 113)(3, 111, 12, 120, 14, 122)(4, 112, 16, 124, 18, 126)(6, 114, 23, 131, 25, 133)(7, 115, 27, 135, 9, 117)(8, 116, 30, 138, 32, 140)(10, 118, 36, 144, 38, 146)(11, 119, 40, 148, 21, 129)(13, 121, 46, 154, 48, 156)(15, 123, 52, 160, 34, 142)(17, 125, 56, 164, 58, 166)(19, 127, 62, 170, 63, 171)(20, 128, 59, 167, 66, 174)(22, 130, 64, 172, 43, 151)(24, 132, 55, 163, 73, 181)(26, 134, 77, 185, 35, 143)(28, 136, 81, 189, 31, 139)(29, 137, 82, 190, 37, 145)(33, 141, 87, 195, 67, 175)(39, 147, 93, 201, 68, 176)(41, 149, 97, 205, 65, 173)(42, 150, 98, 206, 69, 177)(44, 152, 75, 183, 92, 200)(45, 153, 95, 203, 50, 158)(47, 155, 89, 197, 61, 169)(49, 157, 100, 208, 101, 209)(51, 159, 86, 194, 70, 178)(53, 161, 80, 188, 84, 192)(54, 162, 105, 213, 90, 198)(57, 165, 79, 187, 91, 199)(60, 168, 74, 182, 83, 191)(71, 179, 96, 204, 76, 184)(72, 180, 106, 214, 99, 207)(78, 186, 104, 212, 85, 193)(88, 196, 108, 216, 102, 210)(94, 202, 107, 215, 103, 211)(217, 325, 219, 327, 222, 330)(218, 326, 224, 332, 226, 334)(220, 328, 233, 341, 235, 343)(221, 329, 236, 344, 238, 346)(223, 331, 244, 352, 245, 353)(225, 333, 250, 358, 251, 359)(227, 335, 257, 365, 258, 366)(228, 336, 259, 367, 260, 368)(229, 337, 263, 371, 265, 373)(230, 338, 252, 360, 267, 375)(231, 339, 269, 377, 270, 378)(232, 340, 262, 370, 271, 379)(234, 342, 276, 384, 277, 385)(237, 345, 283, 391, 284, 392)(239, 347, 286, 394, 282, 390)(240, 348, 288, 396, 290, 398)(241, 349, 291, 399, 246, 354)(242, 350, 294, 402, 273, 381)(243, 351, 295, 403, 296, 404)(247, 355, 300, 408, 301, 409)(248, 356, 280, 388, 302, 410)(249, 357, 287, 395, 304, 412)(253, 361, 306, 414, 307, 415)(254, 362, 308, 416, 275, 383)(255, 363, 310, 418, 261, 369)(256, 364, 311, 419, 312, 420)(264, 372, 279, 387, 315, 423)(266, 374, 285, 393, 318, 426)(268, 376, 298, 406, 320, 428)(272, 380, 305, 413, 322, 430)(274, 382, 289, 397, 317, 425)(278, 386, 316, 424, 299, 407)(281, 389, 292, 400, 319, 427)(293, 401, 321, 429, 297, 405)(303, 411, 314, 422, 323, 431)(309, 417, 324, 432, 313, 421)
	L = (1, 220)(2, 225)(3, 229)(4, 223)(5, 237)(6, 240)(7, 217)(8, 247)(9, 227)(10, 253)(11, 218)(12, 250)(13, 231)(14, 266)(15, 219)(16, 221)(17, 273)(18, 256)(19, 269)(20, 281)(21, 232)(22, 285)(23, 251)(24, 242)(25, 292)(26, 222)(27, 234)(28, 248)(29, 254)(30, 283)(31, 249)(32, 290)(33, 224)(34, 261)(35, 287)(36, 284)(37, 255)(38, 263)(39, 226)(40, 243)(41, 282)(42, 259)(43, 300)(44, 306)(45, 228)(46, 230)(47, 245)(48, 311)(49, 294)(50, 262)(51, 319)(52, 264)(53, 280)(54, 308)(55, 241)(56, 236)(57, 275)(58, 313)(59, 233)(60, 303)(61, 309)(62, 238)(63, 314)(64, 235)(65, 272)(66, 307)(67, 299)(68, 305)(69, 278)(70, 301)(71, 239)(72, 270)(73, 312)(74, 244)(75, 318)(76, 271)(77, 289)(78, 302)(79, 274)(80, 279)(81, 276)(82, 277)(83, 246)(84, 258)(85, 310)(86, 265)(87, 297)(88, 260)(89, 252)(90, 304)(91, 257)(92, 288)(93, 298)(94, 286)(95, 268)(96, 293)(97, 295)(98, 296)(99, 324)(100, 267)(101, 323)(102, 322)(103, 316)(104, 317)(105, 315)(106, 291)(107, 320)(108, 321)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2203
Graph:: simple bipartite
	v = 72 e = 216 f = 90
	degree seq :: [ 6^72 ]

E28.2206 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 3})
Quotient :: dipole
Aut^+ = (C6 x C6) : C3 (small group id <108, 22>)
Aut   = ((C6 x C6) : C3) : C2 (small group id <216, 95>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, Y2^3, (Y1 * Y3)^2, (Y1^-1 * Y3^-1)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^-1 * Y2 * Y3 * Y1 * Y2^-1, (Y2^-1 * Y3)^3, (Y2^-1 * Y1^-1)^3, Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1, (Y2^-1 * Y3^-1)^3, (Y3^-1 * Y1)^3, Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y2 * Y1^-1, Y1 * Y2 * Y3^-1 * Y1^-1 * Y2^-1 * Y1 * Y3^-1, Y1^-1 * R * Y2 * Y1 * R * Y2 * Y1 * Y3^-1, Y2 * R * Y2 * Y1^-1 * Y2^-1 * R * Y2^-1 * Y1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 109, 2, 110, 5, 113)(3, 111, 12, 120, 14, 122)(4, 112, 16, 124, 18, 126)(6, 114, 23, 131, 25, 133)(7, 115, 27, 135, 9, 117)(8, 116, 30, 138, 32, 140)(10, 118, 36, 144, 38, 146)(11, 119, 40, 148, 21, 129)(13, 121, 34, 142, 47, 155)(15, 123, 51, 159, 44, 152)(17, 125, 56, 164, 58, 166)(19, 127, 62, 170, 63, 171)(20, 128, 65, 173, 57, 165)(22, 130, 69, 177, 43, 151)(24, 132, 74, 182, 76, 184)(26, 134, 80, 188, 55, 163)(28, 136, 84, 192, 86, 194)(29, 137, 39, 147, 88, 196)(31, 139, 67, 175, 77, 185)(33, 141, 85, 193, 60, 168)(35, 143, 79, 187, 73, 181)(37, 145, 61, 169, 93, 201)(41, 149, 59, 167, 97, 205)(42, 150, 71, 179, 52, 160)(45, 153, 75, 183, 98, 206)(46, 154, 54, 162, 49, 157)(48, 156, 90, 198, 101, 209)(50, 158, 104, 212, 72, 180)(53, 161, 78, 186, 92, 200)(64, 172, 70, 178, 83, 191)(66, 174, 96, 204, 82, 190)(68, 176, 95, 203, 87, 195)(81, 189, 99, 207, 89, 197)(91, 199, 94, 202, 100, 208)(102, 210, 105, 213, 106, 214)(103, 211, 108, 216, 107, 215)(217, 325, 219, 327, 222, 330)(218, 326, 224, 332, 226, 334)(220, 328, 233, 341, 235, 343)(221, 329, 236, 344, 238, 346)(223, 331, 244, 352, 245, 353)(225, 333, 250, 358, 251, 359)(227, 335, 257, 365, 258, 366)(228, 336, 259, 367, 261, 369)(229, 337, 252, 360, 264, 372)(230, 338, 255, 363, 266, 374)(231, 339, 268, 376, 269, 377)(232, 340, 270, 378, 271, 379)(234, 342, 276, 384, 277, 385)(237, 345, 283, 391, 284, 392)(239, 347, 288, 396, 274, 382)(240, 348, 291, 399, 293, 401)(241, 349, 294, 402, 246, 354)(242, 350, 297, 405, 273, 381)(243, 351, 298, 406, 299, 407)(247, 355, 285, 393, 305, 413)(248, 356, 287, 395, 306, 414)(249, 357, 296, 404, 307, 415)(253, 361, 308, 416, 272, 380)(254, 362, 310, 418, 281, 389)(256, 364, 260, 368, 290, 398)(262, 370, 311, 419, 315, 423)(263, 371, 286, 394, 316, 424)(265, 373, 279, 387, 319, 427)(267, 375, 309, 417, 322, 430)(275, 383, 303, 411, 323, 431)(278, 386, 320, 428, 302, 410)(280, 388, 318, 426, 301, 409)(282, 390, 304, 412, 314, 422)(289, 397, 324, 432, 300, 408)(292, 400, 321, 429, 312, 420)(295, 403, 317, 425, 313, 421)
	L = (1, 220)(2, 225)(3, 229)(4, 223)(5, 237)(6, 240)(7, 217)(8, 247)(9, 227)(10, 253)(11, 218)(12, 260)(13, 231)(14, 265)(15, 219)(16, 221)(17, 273)(18, 256)(19, 268)(20, 274)(21, 232)(22, 286)(23, 271)(24, 242)(25, 295)(26, 222)(27, 234)(28, 301)(29, 303)(30, 276)(31, 249)(32, 300)(33, 224)(34, 230)(35, 296)(36, 245)(37, 255)(38, 311)(39, 226)(40, 243)(41, 312)(42, 279)(43, 278)(44, 262)(45, 310)(46, 228)(47, 270)(48, 297)(49, 250)(50, 321)(51, 263)(52, 280)(53, 323)(54, 267)(55, 289)(56, 257)(57, 275)(58, 282)(59, 233)(60, 302)(61, 254)(62, 299)(63, 285)(64, 235)(65, 298)(66, 236)(67, 248)(68, 304)(69, 258)(70, 287)(71, 238)(72, 306)(73, 239)(74, 241)(75, 269)(76, 251)(77, 244)(78, 261)(79, 290)(80, 292)(81, 318)(82, 313)(83, 259)(84, 283)(85, 293)(86, 246)(87, 252)(88, 309)(89, 266)(90, 322)(91, 319)(92, 307)(93, 284)(94, 294)(95, 277)(96, 272)(97, 281)(98, 324)(99, 317)(100, 314)(101, 320)(102, 264)(103, 308)(104, 315)(105, 305)(106, 288)(107, 291)(108, 316)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2204
Graph:: simple bipartite
	v = 72 e = 216 f = 90
	degree seq :: [ 6^72 ]

E28.2207 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y2, Y1^4, R * Y2 * R * Y3, (R * Y1)^2, Y1 * Y2 * Y1^-2 * Y2 * Y1^-2 * Y2 * Y1, (Y1 * Y2 * Y1^-1 * Y2)^3, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map::
	R = (1, 110, 2, 113, 5, 112, 4, 109)(3, 115, 7, 121, 13, 116, 8, 111)(6, 119, 11, 128, 20, 120, 12, 114)(9, 124, 16, 136, 28, 125, 17, 117)(10, 126, 18, 131, 23, 127, 19, 118)(14, 132, 24, 145, 37, 133, 25, 122)(15, 134, 26, 148, 40, 135, 27, 123)(21, 141, 33, 159, 51, 142, 34, 129)(22, 143, 35, 162, 54, 144, 36, 130)(29, 151, 43, 172, 64, 152, 44, 137)(30, 153, 45, 174, 66, 154, 46, 138)(31, 155, 47, 177, 69, 156, 48, 139)(32, 157, 49, 180, 72, 158, 50, 140)(38, 165, 57, 189, 81, 166, 58, 146)(39, 163, 55, 186, 78, 167, 59, 147)(41, 168, 60, 193, 85, 169, 61, 149)(42, 170, 62, 195, 87, 171, 63, 150)(52, 183, 75, 207, 99, 184, 76, 160)(53, 181, 73, 205, 97, 185, 77, 161)(56, 187, 79, 192, 84, 188, 80, 164)(65, 198, 90, 194, 86, 199, 91, 173)(67, 200, 92, 204, 96, 179, 71, 175)(68, 201, 93, 214, 106, 202, 94, 176)(70, 203, 95, 212, 104, 191, 83, 178)(74, 196, 88, 209, 101, 206, 98, 182)(82, 208, 100, 215, 107, 211, 103, 190)(89, 210, 102, 216, 108, 213, 105, 197)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 29)(17, 30)(18, 31)(19, 32)(20, 28)(24, 38)(25, 39)(26, 41)(27, 42)(33, 52)(34, 53)(35, 55)(36, 56)(37, 40)(43, 65)(44, 61)(45, 67)(46, 68)(47, 70)(48, 71)(49, 73)(50, 74)(51, 54)(57, 82)(58, 83)(59, 84)(60, 86)(62, 88)(63, 89)(64, 66)(69, 72)(75, 100)(76, 91)(77, 101)(78, 81)(79, 93)(80, 102)(85, 87)(90, 103)(92, 104)(94, 105)(95, 107)(96, 106)(97, 99)(98, 108)(109, 111)(110, 114)(112, 117)(113, 118)(115, 122)(116, 123)(119, 129)(120, 130)(121, 131)(124, 137)(125, 138)(126, 139)(127, 140)(128, 136)(132, 146)(133, 147)(134, 149)(135, 150)(141, 160)(142, 161)(143, 163)(144, 164)(145, 148)(151, 173)(152, 169)(153, 175)(154, 176)(155, 178)(156, 179)(157, 181)(158, 182)(159, 162)(165, 190)(166, 191)(167, 192)(168, 194)(170, 196)(171, 197)(172, 174)(177, 180)(183, 208)(184, 199)(185, 209)(186, 189)(187, 201)(188, 210)(193, 195)(198, 211)(200, 212)(202, 213)(203, 215)(204, 214)(205, 207)(206, 216)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph::
	v = 27 e = 108 f = 27
	degree seq :: [ 8^27 ]

E28.2208 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, (R * Y3)^2, Y3^4, R * Y2 * R * Y1, Y3 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3, (Y1 * Y3^-1 * Y1 * Y3)^3, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 109, 3, 111, 8, 116, 4, 112)(2, 110, 5, 113, 11, 119, 6, 114)(7, 115, 13, 121, 24, 132, 14, 122)(9, 117, 16, 124, 29, 137, 17, 125)(10, 118, 18, 126, 32, 140, 19, 127)(12, 120, 21, 129, 35, 143, 22, 130)(15, 123, 26, 134, 20, 128, 27, 135)(23, 131, 37, 145, 56, 164, 38, 146)(25, 133, 39, 147, 58, 166, 40, 148)(28, 136, 43, 151, 65, 173, 44, 152)(30, 138, 45, 153, 67, 175, 46, 154)(31, 139, 47, 155, 70, 178, 48, 156)(33, 141, 49, 157, 72, 180, 50, 158)(34, 142, 51, 159, 75, 183, 52, 160)(36, 144, 53, 161, 77, 185, 54, 162)(41, 149, 60, 168, 86, 194, 61, 169)(42, 150, 62, 170, 88, 196, 63, 171)(55, 163, 79, 187, 101, 209, 80, 188)(57, 165, 81, 189, 102, 210, 82, 190)(59, 167, 83, 191, 73, 181, 84, 192)(64, 172, 90, 198, 74, 182, 91, 199)(66, 174, 92, 200, 104, 212, 87, 195)(68, 176, 93, 201, 106, 214, 94, 202)(69, 177, 95, 203, 107, 215, 96, 204)(71, 179, 85, 193, 103, 211, 97, 205)(76, 184, 98, 206, 105, 213, 89, 197)(78, 186, 99, 207, 108, 216, 100, 208)(217, 218)(219, 223)(220, 225)(221, 226)(222, 228)(224, 231)(227, 236)(229, 239)(230, 241)(232, 244)(233, 246)(234, 247)(235, 249)(237, 250)(238, 252)(240, 245)(242, 257)(243, 258)(248, 251)(253, 271)(254, 273)(255, 265)(256, 275)(259, 280)(260, 268)(261, 282)(262, 284)(263, 285)(264, 287)(266, 289)(267, 290)(269, 292)(270, 294)(272, 274)(276, 301)(277, 303)(278, 297)(279, 305)(281, 283)(286, 288)(291, 293)(295, 311)(296, 307)(298, 314)(299, 309)(300, 315)(302, 304)(306, 312)(308, 313)(310, 316)(317, 318)(319, 323)(320, 322)(321, 324)(325, 326)(327, 331)(328, 333)(329, 334)(330, 336)(332, 339)(335, 344)(337, 347)(338, 349)(340, 352)(341, 354)(342, 355)(343, 357)(345, 358)(346, 360)(348, 353)(350, 365)(351, 366)(356, 359)(361, 379)(362, 381)(363, 373)(364, 383)(367, 388)(368, 376)(369, 390)(370, 392)(371, 393)(372, 395)(374, 397)(375, 398)(377, 400)(378, 402)(380, 382)(384, 409)(385, 411)(386, 405)(387, 413)(389, 391)(394, 396)(399, 401)(403, 419)(404, 415)(406, 422)(407, 417)(408, 423)(410, 412)(414, 420)(416, 421)(418, 424)(425, 426)(427, 431)(428, 430)(429, 432)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E28.2210
Graph:: simple bipartite
	v = 135 e = 216 f = 27
	degree seq :: [ 2^108, 8^27 ]

E28.2209 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = C2 x (((C3 x C3) : C3) : C4) (small group id <216, 100>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1, (Y1 * Y2^-1)^2, Y2^-1 * Y1^3, R * Y1 * R * Y2, (R * Y3)^2, Y2^4, Y1 * Y3 * Y1^2 * Y3 * Y1 * Y2^-1 * Y3 * Y2^-1, Y2 * Y3 * Y1^-2 * Y3 * Y2^-1 * Y1 * Y3 * Y1^-1, Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y1 * Y2^-1 * Y3, Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 109, 4, 112)(2, 110, 6, 114)(3, 111, 7, 115)(5, 113, 10, 118)(8, 116, 16, 124)(9, 117, 17, 125)(11, 119, 21, 129)(12, 120, 22, 130)(13, 121, 24, 132)(14, 122, 25, 133)(15, 123, 26, 134)(18, 126, 31, 139)(19, 127, 32, 140)(20, 128, 23, 131)(27, 135, 42, 150)(28, 136, 43, 151)(29, 137, 45, 153)(30, 138, 46, 154)(33, 141, 52, 160)(34, 142, 53, 161)(35, 143, 55, 163)(36, 144, 56, 164)(37, 145, 58, 166)(38, 146, 59, 167)(39, 147, 61, 169)(40, 148, 62, 170)(41, 149, 44, 152)(47, 155, 70, 178)(48, 156, 71, 179)(49, 157, 73, 181)(50, 158, 74, 182)(51, 159, 54, 162)(57, 165, 60, 168)(63, 171, 88, 196)(64, 172, 89, 197)(65, 173, 90, 198)(66, 174, 91, 199)(67, 175, 93, 201)(68, 176, 94, 202)(69, 177, 72, 180)(75, 183, 100, 208)(76, 184, 82, 190)(77, 185, 101, 209)(78, 186, 87, 195)(79, 187, 85, 193)(80, 188, 102, 210)(81, 189, 103, 211)(83, 191, 92, 200)(84, 192, 104, 212)(86, 194, 106, 214)(95, 203, 107, 215)(96, 204, 105, 213)(97, 205, 99, 207)(98, 206, 108, 216)(217, 218, 221, 219)(220, 224, 231, 225)(222, 227, 236, 228)(223, 229, 239, 230)(226, 234, 242, 235)(232, 243, 257, 244)(233, 245, 260, 246)(237, 249, 267, 250)(238, 251, 270, 252)(240, 253, 273, 254)(241, 255, 276, 256)(247, 263, 285, 264)(248, 265, 288, 266)(258, 279, 303, 280)(259, 271, 294, 281)(261, 282, 299, 275)(262, 283, 308, 284)(268, 291, 315, 292)(269, 289, 313, 293)(272, 295, 306, 296)(274, 297, 307, 298)(277, 300, 312, 287)(278, 301, 321, 302)(286, 311, 320, 305)(290, 309, 317, 314)(304, 316, 323, 319)(310, 318, 324, 322)(325, 327, 329, 326)(328, 333, 339, 332)(330, 336, 344, 335)(331, 338, 347, 337)(334, 343, 350, 342)(340, 352, 365, 351)(341, 354, 368, 353)(345, 358, 375, 357)(346, 360, 378, 359)(348, 362, 381, 361)(349, 364, 384, 363)(355, 372, 393, 371)(356, 374, 396, 373)(366, 388, 411, 387)(367, 389, 402, 379)(369, 383, 407, 390)(370, 392, 416, 391)(376, 400, 423, 399)(377, 401, 421, 397)(380, 404, 414, 403)(382, 406, 415, 405)(385, 395, 420, 408)(386, 410, 429, 409)(394, 413, 428, 419)(398, 422, 425, 417)(412, 427, 431, 424)(418, 430, 432, 426)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E28.2211
Graph:: simple bipartite
	v = 108 e = 216 f = 54
	degree seq :: [ 4^108 ]

E28.2210 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, (R * Y3)^2, Y3^4, R * Y2 * R * Y1, Y3 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3, (Y1 * Y3^-1 * Y1 * Y3)^3, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 109, 217, 325, 3, 111, 219, 327, 8, 116, 224, 332, 4, 112, 220, 328)(2, 110, 218, 326, 5, 113, 221, 329, 11, 119, 227, 335, 6, 114, 222, 330)(7, 115, 223, 331, 13, 121, 229, 337, 24, 132, 240, 348, 14, 122, 230, 338)(9, 117, 225, 333, 16, 124, 232, 340, 29, 137, 245, 353, 17, 125, 233, 341)(10, 118, 226, 334, 18, 126, 234, 342, 32, 140, 248, 356, 19, 127, 235, 343)(12, 120, 228, 336, 21, 129, 237, 345, 35, 143, 251, 359, 22, 130, 238, 346)(15, 123, 231, 339, 26, 134, 242, 350, 20, 128, 236, 344, 27, 135, 243, 351)(23, 131, 239, 347, 37, 145, 253, 361, 56, 164, 272, 380, 38, 146, 254, 362)(25, 133, 241, 349, 39, 147, 255, 363, 58, 166, 274, 382, 40, 148, 256, 364)(28, 136, 244, 352, 43, 151, 259, 367, 65, 173, 281, 389, 44, 152, 260, 368)(30, 138, 246, 354, 45, 153, 261, 369, 67, 175, 283, 391, 46, 154, 262, 370)(31, 139, 247, 355, 47, 155, 263, 371, 70, 178, 286, 394, 48, 156, 264, 372)(33, 141, 249, 357, 49, 157, 265, 373, 72, 180, 288, 396, 50, 158, 266, 374)(34, 142, 250, 358, 51, 159, 267, 375, 75, 183, 291, 399, 52, 160, 268, 376)(36, 144, 252, 360, 53, 161, 269, 377, 77, 185, 293, 401, 54, 162, 270, 378)(41, 149, 257, 365, 60, 168, 276, 384, 86, 194, 302, 410, 61, 169, 277, 385)(42, 150, 258, 366, 62, 170, 278, 386, 88, 196, 304, 412, 63, 171, 279, 387)(55, 163, 271, 379, 79, 187, 295, 403, 101, 209, 317, 425, 80, 188, 296, 404)(57, 165, 273, 381, 81, 189, 297, 405, 102, 210, 318, 426, 82, 190, 298, 406)(59, 167, 275, 383, 83, 191, 299, 407, 73, 181, 289, 397, 84, 192, 300, 408)(64, 172, 280, 388, 90, 198, 306, 414, 74, 182, 290, 398, 91, 199, 307, 415)(66, 174, 282, 390, 92, 200, 308, 416, 104, 212, 320, 428, 87, 195, 303, 411)(68, 176, 284, 392, 93, 201, 309, 417, 106, 214, 322, 430, 94, 202, 310, 418)(69, 177, 285, 393, 95, 203, 311, 419, 107, 215, 323, 431, 96, 204, 312, 420)(71, 179, 287, 395, 85, 193, 301, 409, 103, 211, 319, 427, 97, 205, 313, 421)(76, 184, 292, 400, 98, 206, 314, 422, 105, 213, 321, 429, 89, 197, 305, 413)(78, 186, 294, 402, 99, 207, 315, 423, 108, 216, 324, 432, 100, 208, 316, 424)
	L = (1, 110)(2, 109)(3, 115)(4, 117)(5, 118)(6, 120)(7, 111)(8, 123)(9, 112)(10, 113)(11, 128)(12, 114)(13, 131)(14, 133)(15, 116)(16, 136)(17, 138)(18, 139)(19, 141)(20, 119)(21, 142)(22, 144)(23, 121)(24, 137)(25, 122)(26, 149)(27, 150)(28, 124)(29, 132)(30, 125)(31, 126)(32, 143)(33, 127)(34, 129)(35, 140)(36, 130)(37, 163)(38, 165)(39, 157)(40, 167)(41, 134)(42, 135)(43, 172)(44, 160)(45, 174)(46, 176)(47, 177)(48, 179)(49, 147)(50, 181)(51, 182)(52, 152)(53, 184)(54, 186)(55, 145)(56, 166)(57, 146)(58, 164)(59, 148)(60, 193)(61, 195)(62, 189)(63, 197)(64, 151)(65, 175)(66, 153)(67, 173)(68, 154)(69, 155)(70, 180)(71, 156)(72, 178)(73, 158)(74, 159)(75, 185)(76, 161)(77, 183)(78, 162)(79, 203)(80, 199)(81, 170)(82, 206)(83, 201)(84, 207)(85, 168)(86, 196)(87, 169)(88, 194)(89, 171)(90, 204)(91, 188)(92, 205)(93, 191)(94, 208)(95, 187)(96, 198)(97, 200)(98, 190)(99, 192)(100, 202)(101, 210)(102, 209)(103, 215)(104, 214)(105, 216)(106, 212)(107, 211)(108, 213)(217, 326)(218, 325)(219, 331)(220, 333)(221, 334)(222, 336)(223, 327)(224, 339)(225, 328)(226, 329)(227, 344)(228, 330)(229, 347)(230, 349)(231, 332)(232, 352)(233, 354)(234, 355)(235, 357)(236, 335)(237, 358)(238, 360)(239, 337)(240, 353)(241, 338)(242, 365)(243, 366)(244, 340)(245, 348)(246, 341)(247, 342)(248, 359)(249, 343)(250, 345)(251, 356)(252, 346)(253, 379)(254, 381)(255, 373)(256, 383)(257, 350)(258, 351)(259, 388)(260, 376)(261, 390)(262, 392)(263, 393)(264, 395)(265, 363)(266, 397)(267, 398)(268, 368)(269, 400)(270, 402)(271, 361)(272, 382)(273, 362)(274, 380)(275, 364)(276, 409)(277, 411)(278, 405)(279, 413)(280, 367)(281, 391)(282, 369)(283, 389)(284, 370)(285, 371)(286, 396)(287, 372)(288, 394)(289, 374)(290, 375)(291, 401)(292, 377)(293, 399)(294, 378)(295, 419)(296, 415)(297, 386)(298, 422)(299, 417)(300, 423)(301, 384)(302, 412)(303, 385)(304, 410)(305, 387)(306, 420)(307, 404)(308, 421)(309, 407)(310, 424)(311, 403)(312, 414)(313, 416)(314, 406)(315, 408)(316, 418)(317, 426)(318, 425)(319, 431)(320, 430)(321, 432)(322, 428)(323, 427)(324, 429)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.2208
Transitivity :: VT+
Graph::
	v = 27 e = 216 f = 135
	degree seq :: [ 16^27 ]

E28.2211 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = C2 x (((C3 x C3) : C3) : C4) (small group id <216, 100>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1, (Y1 * Y2^-1)^2, Y2^-1 * Y1^3, R * Y1 * R * Y2, (R * Y3)^2, Y2^4, Y1 * Y3 * Y1^2 * Y3 * Y1 * Y2^-1 * Y3 * Y2^-1, Y2 * Y3 * Y1^-2 * Y3 * Y2^-1 * Y1 * Y3 * Y1^-1, Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y1 * Y2^-1 * Y3, Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 109, 217, 325, 4, 112, 220, 328)(2, 110, 218, 326, 6, 114, 222, 330)(3, 111, 219, 327, 7, 115, 223, 331)(5, 113, 221, 329, 10, 118, 226, 334)(8, 116, 224, 332, 16, 124, 232, 340)(9, 117, 225, 333, 17, 125, 233, 341)(11, 119, 227, 335, 21, 129, 237, 345)(12, 120, 228, 336, 22, 130, 238, 346)(13, 121, 229, 337, 24, 132, 240, 348)(14, 122, 230, 338, 25, 133, 241, 349)(15, 123, 231, 339, 26, 134, 242, 350)(18, 126, 234, 342, 31, 139, 247, 355)(19, 127, 235, 343, 32, 140, 248, 356)(20, 128, 236, 344, 23, 131, 239, 347)(27, 135, 243, 351, 42, 150, 258, 366)(28, 136, 244, 352, 43, 151, 259, 367)(29, 137, 245, 353, 45, 153, 261, 369)(30, 138, 246, 354, 46, 154, 262, 370)(33, 141, 249, 357, 52, 160, 268, 376)(34, 142, 250, 358, 53, 161, 269, 377)(35, 143, 251, 359, 55, 163, 271, 379)(36, 144, 252, 360, 56, 164, 272, 380)(37, 145, 253, 361, 58, 166, 274, 382)(38, 146, 254, 362, 59, 167, 275, 383)(39, 147, 255, 363, 61, 169, 277, 385)(40, 148, 256, 364, 62, 170, 278, 386)(41, 149, 257, 365, 44, 152, 260, 368)(47, 155, 263, 371, 70, 178, 286, 394)(48, 156, 264, 372, 71, 179, 287, 395)(49, 157, 265, 373, 73, 181, 289, 397)(50, 158, 266, 374, 74, 182, 290, 398)(51, 159, 267, 375, 54, 162, 270, 378)(57, 165, 273, 381, 60, 168, 276, 384)(63, 171, 279, 387, 88, 196, 304, 412)(64, 172, 280, 388, 89, 197, 305, 413)(65, 173, 281, 389, 90, 198, 306, 414)(66, 174, 282, 390, 91, 199, 307, 415)(67, 175, 283, 391, 93, 201, 309, 417)(68, 176, 284, 392, 94, 202, 310, 418)(69, 177, 285, 393, 72, 180, 288, 396)(75, 183, 291, 399, 100, 208, 316, 424)(76, 184, 292, 400, 82, 190, 298, 406)(77, 185, 293, 401, 101, 209, 317, 425)(78, 186, 294, 402, 87, 195, 303, 411)(79, 187, 295, 403, 85, 193, 301, 409)(80, 188, 296, 404, 102, 210, 318, 426)(81, 189, 297, 405, 103, 211, 319, 427)(83, 191, 299, 407, 92, 200, 308, 416)(84, 192, 300, 408, 104, 212, 320, 428)(86, 194, 302, 410, 106, 214, 322, 430)(95, 203, 311, 419, 107, 215, 323, 431)(96, 204, 312, 420, 105, 213, 321, 429)(97, 205, 313, 421, 99, 207, 315, 423)(98, 206, 314, 422, 108, 216, 324, 432)
	L = (1, 110)(2, 113)(3, 109)(4, 116)(5, 111)(6, 119)(7, 121)(8, 123)(9, 112)(10, 126)(11, 128)(12, 114)(13, 131)(14, 115)(15, 117)(16, 135)(17, 137)(18, 134)(19, 118)(20, 120)(21, 141)(22, 143)(23, 122)(24, 145)(25, 147)(26, 127)(27, 149)(28, 124)(29, 152)(30, 125)(31, 155)(32, 157)(33, 159)(34, 129)(35, 162)(36, 130)(37, 165)(38, 132)(39, 168)(40, 133)(41, 136)(42, 171)(43, 163)(44, 138)(45, 174)(46, 175)(47, 177)(48, 139)(49, 180)(50, 140)(51, 142)(52, 183)(53, 181)(54, 144)(55, 186)(56, 187)(57, 146)(58, 189)(59, 153)(60, 148)(61, 192)(62, 193)(63, 195)(64, 150)(65, 151)(66, 191)(67, 200)(68, 154)(69, 156)(70, 203)(71, 169)(72, 158)(73, 205)(74, 201)(75, 207)(76, 160)(77, 161)(78, 173)(79, 198)(80, 164)(81, 199)(82, 166)(83, 167)(84, 204)(85, 213)(86, 170)(87, 172)(88, 208)(89, 178)(90, 188)(91, 190)(92, 176)(93, 209)(94, 210)(95, 212)(96, 179)(97, 185)(98, 182)(99, 184)(100, 215)(101, 206)(102, 216)(103, 196)(104, 197)(105, 194)(106, 202)(107, 211)(108, 214)(217, 327)(218, 325)(219, 329)(220, 333)(221, 326)(222, 336)(223, 338)(224, 328)(225, 339)(226, 343)(227, 330)(228, 344)(229, 331)(230, 347)(231, 332)(232, 352)(233, 354)(234, 334)(235, 350)(236, 335)(237, 358)(238, 360)(239, 337)(240, 362)(241, 364)(242, 342)(243, 340)(244, 365)(245, 341)(246, 368)(247, 372)(248, 374)(249, 345)(250, 375)(251, 346)(252, 378)(253, 348)(254, 381)(255, 349)(256, 384)(257, 351)(258, 388)(259, 389)(260, 353)(261, 383)(262, 392)(263, 355)(264, 393)(265, 356)(266, 396)(267, 357)(268, 400)(269, 401)(270, 359)(271, 367)(272, 404)(273, 361)(274, 406)(275, 407)(276, 363)(277, 395)(278, 410)(279, 366)(280, 411)(281, 402)(282, 369)(283, 370)(284, 416)(285, 371)(286, 413)(287, 420)(288, 373)(289, 377)(290, 422)(291, 376)(292, 423)(293, 421)(294, 379)(295, 380)(296, 414)(297, 382)(298, 415)(299, 390)(300, 385)(301, 386)(302, 429)(303, 387)(304, 427)(305, 428)(306, 403)(307, 405)(308, 391)(309, 398)(310, 430)(311, 394)(312, 408)(313, 397)(314, 425)(315, 399)(316, 412)(317, 417)(318, 418)(319, 431)(320, 419)(321, 409)(322, 432)(323, 424)(324, 426)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E28.2209
Transitivity :: VT+
Graph:: bipartite
	v = 54 e = 216 f = 108
	degree seq :: [ 8^54 ]

E28.2212 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y1^2, R^2, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4, Y2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2, (Y1 * Y2 * Y1 * Y2^-1)^3, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map::
	R = (1, 109, 2, 110)(3, 111, 7, 115)(4, 112, 9, 117)(5, 113, 10, 118)(6, 114, 12, 120)(8, 116, 15, 123)(11, 119, 20, 128)(13, 121, 23, 131)(14, 122, 25, 133)(16, 124, 28, 136)(17, 125, 30, 138)(18, 126, 31, 139)(19, 127, 33, 141)(21, 129, 34, 142)(22, 130, 36, 144)(24, 132, 29, 137)(26, 134, 41, 149)(27, 135, 42, 150)(32, 140, 35, 143)(37, 145, 55, 163)(38, 146, 57, 165)(39, 147, 49, 157)(40, 148, 59, 167)(43, 151, 64, 172)(44, 152, 52, 160)(45, 153, 66, 174)(46, 154, 68, 176)(47, 155, 69, 177)(48, 156, 71, 179)(50, 158, 73, 181)(51, 159, 74, 182)(53, 161, 76, 184)(54, 162, 78, 186)(56, 164, 58, 166)(60, 168, 85, 193)(61, 169, 87, 195)(62, 170, 81, 189)(63, 171, 89, 197)(65, 173, 67, 175)(70, 178, 72, 180)(75, 183, 77, 185)(79, 187, 95, 203)(80, 188, 91, 199)(82, 190, 98, 206)(83, 191, 93, 201)(84, 192, 99, 207)(86, 194, 88, 196)(90, 198, 96, 204)(92, 200, 97, 205)(94, 202, 100, 208)(101, 209, 102, 210)(103, 211, 107, 215)(104, 212, 106, 214)(105, 213, 108, 216)(217, 325, 219, 327, 224, 332, 220, 328)(218, 326, 221, 329, 227, 335, 222, 330)(223, 331, 229, 337, 240, 348, 230, 338)(225, 333, 232, 340, 245, 353, 233, 341)(226, 334, 234, 342, 248, 356, 235, 343)(228, 336, 237, 345, 251, 359, 238, 346)(231, 339, 242, 350, 236, 344, 243, 351)(239, 347, 253, 361, 272, 380, 254, 362)(241, 349, 255, 363, 274, 382, 256, 364)(244, 352, 259, 367, 281, 389, 260, 368)(246, 354, 261, 369, 283, 391, 262, 370)(247, 355, 263, 371, 286, 394, 264, 372)(249, 357, 265, 373, 288, 396, 266, 374)(250, 358, 267, 375, 291, 399, 268, 376)(252, 360, 269, 377, 293, 401, 270, 378)(257, 365, 276, 384, 302, 410, 277, 385)(258, 366, 278, 386, 304, 412, 279, 387)(271, 379, 295, 403, 317, 425, 296, 404)(273, 381, 297, 405, 318, 426, 298, 406)(275, 383, 299, 407, 289, 397, 300, 408)(280, 388, 306, 414, 290, 398, 307, 415)(282, 390, 308, 416, 320, 428, 303, 411)(284, 392, 309, 417, 322, 430, 310, 418)(285, 393, 311, 419, 323, 431, 312, 420)(287, 395, 301, 409, 319, 427, 313, 421)(292, 400, 314, 422, 321, 429, 305, 413)(294, 402, 315, 423, 324, 432, 316, 424)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 81 e = 216 f = 81
	degree seq :: [ 4^54, 8^27 ]

E28.2213 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, (R * Y3^-1)^2, Y2^4, (Y1 * R)^2, (Y1 * Y3^-1)^2, Y1 * Y3^-1 * Y2 * Y1 * Y2^-1, (R * Y2 * Y3^-1)^2, R * Y1 * Y3 * R * Y1 * Y3^-1, R * Y3^-1 * Y2 * R * Y3 * Y2 * Y3, Y1 * Y2^-2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y2 * Y3^-1 * Y2^-2 * Y3 * Y2^-1 * Y3^-1 * Y1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, (Y2 * R * Y2^-1 * Y1)^2 ]
Map:: polyhedral non-degenerate
	R = (1, 109, 2, 110)(3, 111, 11, 119)(4, 112, 10, 118)(5, 113, 17, 125)(6, 114, 8, 116)(7, 115, 20, 128)(9, 117, 18, 126)(12, 120, 32, 140)(13, 121, 31, 139)(14, 122, 30, 138)(15, 123, 25, 133)(16, 124, 42, 150)(19, 127, 27, 135)(21, 129, 54, 162)(22, 130, 57, 165)(23, 131, 53, 161)(24, 132, 52, 160)(26, 134, 55, 163)(28, 136, 43, 151)(29, 137, 37, 145)(33, 141, 46, 154)(34, 142, 72, 180)(35, 143, 70, 178)(36, 144, 78, 186)(38, 146, 39, 147)(40, 148, 64, 172)(41, 149, 63, 171)(44, 152, 68, 176)(45, 153, 49, 157)(47, 155, 66, 174)(48, 156, 58, 166)(50, 158, 88, 196)(51, 159, 60, 168)(56, 164, 65, 173)(59, 167, 76, 184)(61, 169, 62, 170)(67, 175, 89, 197)(69, 177, 79, 187)(71, 179, 80, 188)(73, 181, 99, 207)(74, 182, 75, 183)(77, 185, 93, 201)(81, 189, 82, 190)(83, 191, 84, 192)(85, 193, 95, 203)(86, 194, 90, 198)(87, 195, 101, 209)(91, 199, 94, 202)(92, 200, 106, 214)(96, 204, 107, 215)(97, 205, 98, 206)(100, 208, 103, 211)(102, 210, 108, 216)(104, 212, 105, 213)(217, 325, 219, 327, 228, 336, 221, 329)(218, 326, 223, 331, 238, 346, 225, 333)(220, 328, 231, 339, 255, 363, 232, 340)(222, 330, 236, 344, 267, 375, 237, 345)(224, 332, 241, 349, 278, 386, 242, 350)(226, 334, 227, 335, 245, 353, 244, 352)(229, 337, 251, 359, 291, 399, 252, 360)(230, 338, 253, 361, 280, 388, 254, 362)(233, 341, 261, 369, 259, 367, 262, 370)(234, 342, 263, 371, 270, 378, 264, 372)(235, 343, 265, 373, 303, 411, 266, 374)(239, 347, 275, 383, 290, 398, 250, 358)(240, 348, 276, 384, 257, 365, 277, 385)(243, 351, 282, 390, 312, 420, 283, 391)(246, 354, 286, 394, 314, 422, 287, 395)(247, 355, 248, 356, 269, 377, 273, 381)(249, 357, 289, 397, 304, 412, 284, 392)(256, 364, 293, 401, 313, 421, 285, 393)(258, 366, 299, 407, 271, 379, 297, 405)(260, 368, 300, 408, 319, 427, 301, 409)(268, 376, 292, 400, 318, 426, 307, 415)(272, 380, 274, 382, 308, 416, 305, 413)(279, 387, 309, 417, 324, 432, 306, 414)(281, 389, 298, 406, 321, 429, 311, 419)(288, 396, 315, 423, 310, 418, 316, 424)(294, 402, 322, 430, 296, 404, 320, 428)(295, 403, 317, 425, 302, 410, 323, 431)
	L = (1, 220)(2, 224)(3, 229)(4, 222)(5, 234)(6, 217)(7, 239)(8, 226)(9, 233)(10, 218)(11, 246)(12, 249)(13, 230)(14, 219)(15, 256)(16, 259)(17, 243)(18, 235)(19, 221)(20, 268)(21, 271)(22, 274)(23, 240)(24, 223)(25, 279)(26, 270)(27, 225)(28, 258)(29, 265)(30, 247)(31, 227)(32, 288)(33, 250)(34, 228)(35, 292)(36, 238)(37, 295)(38, 296)(39, 298)(40, 257)(41, 231)(42, 284)(43, 260)(44, 232)(45, 253)(46, 248)(47, 276)(48, 273)(49, 285)(50, 305)(51, 282)(52, 269)(53, 236)(54, 281)(55, 272)(56, 237)(57, 294)(58, 252)(59, 286)(60, 302)(61, 310)(62, 300)(63, 280)(64, 241)(65, 242)(66, 306)(67, 304)(68, 244)(69, 245)(70, 309)(71, 255)(72, 262)(73, 317)(74, 319)(75, 321)(76, 293)(77, 251)(78, 264)(79, 261)(80, 297)(81, 254)(82, 287)(83, 277)(84, 307)(85, 266)(86, 263)(87, 315)(88, 311)(89, 301)(90, 267)(91, 278)(92, 323)(93, 275)(94, 299)(95, 283)(96, 322)(97, 312)(98, 308)(99, 324)(100, 291)(101, 318)(102, 289)(103, 320)(104, 290)(105, 316)(106, 313)(107, 314)(108, 303)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 81 e = 216 f = 81
	degree seq :: [ 4^54, 8^27 ]

E28.2214 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 6})
Quotient :: halfedge^2
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y3 * Y2)^2, (R * Y1)^2, (Y3 * Y1^-2)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y1^6, Y1^-1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3, (Y3 * Y1 * Y2 * Y1^-1)^2, (Y3 * Y1^-1 * Y2)^3, (Y1^-1 * Y3 * Y2)^3, Y1 * Y3 * Y2 * Y1^-3 * Y2 * Y3 * Y1^-1 * Y3 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 110, 2, 114, 6, 125, 17, 124, 16, 113, 5, 109)(3, 117, 9, 133, 25, 151, 43, 126, 18, 119, 11, 111)(4, 120, 12, 140, 32, 152, 44, 127, 19, 121, 13, 112)(7, 128, 20, 122, 14, 145, 37, 148, 40, 130, 22, 115)(8, 131, 23, 123, 15, 147, 39, 149, 41, 132, 24, 116)(10, 136, 28, 150, 42, 184, 76, 163, 55, 137, 29, 118)(21, 155, 47, 183, 75, 181, 73, 146, 38, 156, 48, 129)(26, 164, 56, 138, 30, 171, 63, 185, 77, 166, 58, 134)(27, 161, 53, 139, 31, 173, 65, 186, 78, 159, 51, 135)(33, 174, 66, 143, 35, 154, 46, 187, 79, 158, 50, 141)(34, 176, 68, 144, 36, 179, 71, 188, 80, 177, 69, 142)(45, 189, 81, 157, 49, 194, 86, 180, 72, 191, 83, 153)(52, 197, 89, 162, 54, 200, 92, 182, 74, 198, 90, 160)(57, 178, 70, 213, 105, 175, 67, 172, 64, 203, 95, 165)(59, 206, 98, 169, 61, 202, 94, 193, 85, 205, 97, 167)(60, 207, 99, 170, 62, 209, 101, 192, 84, 208, 100, 168)(82, 199, 91, 212, 104, 196, 88, 195, 87, 211, 103, 190)(93, 215, 107, 204, 96, 216, 108, 210, 102, 214, 106, 201)
	L = (1, 3)(2, 7)(4, 10)(5, 14)(6, 18)(8, 21)(9, 26)(11, 30)(12, 33)(13, 35)(15, 38)(16, 25)(17, 40)(19, 42)(20, 45)(22, 49)(23, 51)(24, 53)(27, 57)(28, 59)(29, 61)(31, 64)(32, 55)(34, 67)(36, 70)(37, 72)(39, 65)(41, 75)(43, 77)(44, 79)(46, 82)(47, 62)(48, 84)(50, 87)(52, 88)(54, 91)(56, 93)(58, 96)(60, 73)(63, 102)(66, 104)(68, 100)(69, 99)(71, 101)(74, 103)(76, 85)(78, 105)(80, 95)(81, 106)(83, 107)(86, 108)(89, 98)(90, 94)(92, 97)(109, 112)(110, 116)(111, 118)(113, 123)(114, 127)(115, 129)(117, 135)(119, 139)(120, 142)(121, 144)(122, 146)(124, 140)(125, 149)(126, 150)(128, 154)(130, 158)(131, 160)(132, 162)(133, 163)(134, 165)(136, 168)(137, 170)(138, 172)(141, 175)(143, 178)(145, 174)(147, 182)(148, 183)(151, 186)(152, 188)(153, 190)(155, 169)(156, 193)(157, 195)(159, 196)(161, 199)(164, 202)(166, 205)(167, 181)(171, 206)(173, 211)(176, 214)(177, 215)(179, 216)(180, 212)(184, 192)(185, 213)(187, 203)(189, 208)(191, 207)(194, 209)(197, 210)(198, 201)(200, 204)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2217
Transitivity :: VT+ AT
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 12^18 ]

E28.2215 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 6})
Quotient :: halfedge^2
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y2 * Y3 * Y1^-2 * Y2 * Y3, (Y1^-1 * Y2 * Y1^-1)^2, Y1^6, (Y1^-1 * Y3 * Y1^-1)^2, (Y1^2 * Y2 * Y3)^2, (Y1^-1 * Y2 * Y1^-1 * Y3)^2, Y1 * Y3 * Y2 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 110, 2, 114, 6, 126, 18, 125, 17, 113, 5, 109)(3, 117, 9, 135, 27, 154, 46, 127, 19, 119, 11, 111)(4, 120, 12, 142, 34, 155, 47, 128, 20, 122, 14, 112)(7, 129, 21, 123, 15, 148, 40, 151, 43, 131, 23, 115)(8, 132, 24, 124, 16, 149, 41, 152, 44, 134, 26, 116)(10, 138, 30, 153, 45, 145, 37, 121, 13, 139, 31, 118)(22, 158, 50, 150, 42, 164, 56, 133, 25, 159, 51, 130)(28, 167, 59, 140, 32, 176, 68, 189, 81, 169, 61, 136)(29, 162, 54, 141, 33, 165, 57, 190, 82, 171, 63, 137)(35, 157, 49, 146, 38, 161, 53, 191, 83, 179, 71, 143)(36, 180, 72, 147, 39, 185, 77, 192, 84, 182, 74, 144)(48, 193, 85, 160, 52, 197, 89, 187, 79, 195, 87, 156)(55, 200, 92, 166, 58, 203, 95, 188, 80, 202, 94, 163)(60, 178, 70, 177, 69, 186, 78, 170, 62, 181, 73, 168)(64, 206, 98, 174, 66, 208, 100, 183, 75, 209, 101, 172)(65, 210, 102, 175, 67, 212, 104, 184, 76, 211, 103, 173)(86, 199, 91, 198, 90, 204, 96, 196, 88, 201, 93, 194)(97, 215, 107, 207, 99, 216, 108, 213, 105, 214, 106, 205)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 28)(10, 20)(11, 32)(12, 35)(14, 38)(16, 42)(17, 27)(18, 43)(21, 48)(22, 44)(23, 52)(24, 54)(26, 57)(29, 62)(30, 64)(31, 66)(33, 69)(34, 45)(36, 73)(37, 75)(39, 78)(40, 79)(41, 63)(46, 81)(47, 83)(49, 88)(50, 76)(51, 65)(53, 90)(55, 93)(56, 67)(58, 96)(59, 97)(60, 82)(61, 99)(68, 105)(70, 84)(71, 86)(72, 104)(74, 103)(77, 102)(80, 91)(85, 106)(87, 107)(89, 108)(92, 100)(94, 101)(95, 98)(109, 112)(110, 116)(111, 118)(113, 124)(114, 128)(115, 130)(117, 137)(119, 141)(120, 144)(121, 135)(122, 147)(123, 133)(125, 142)(126, 152)(127, 153)(129, 157)(131, 161)(132, 163)(134, 166)(136, 168)(138, 173)(139, 175)(140, 170)(143, 178)(145, 184)(146, 181)(148, 179)(149, 188)(150, 151)(154, 190)(155, 192)(156, 194)(158, 172)(159, 174)(160, 196)(162, 199)(164, 183)(165, 201)(167, 206)(169, 208)(171, 204)(176, 209)(177, 189)(180, 214)(182, 215)(185, 216)(186, 191)(187, 198)(193, 211)(195, 210)(197, 212)(200, 213)(202, 205)(203, 207)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2216
Transitivity :: VT+ AT
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 12^18 ]

E28.2216 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 6})
Quotient :: halfedge^2
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^3, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y1 * Y3 * Y2 * Y1 * Y2, (Y2 * Y1 * Y3 * Y1)^2, Y2 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y2 * Y1 * Y3 * Y1^-1, (Y2 * Y3)^6 ]
Map:: polytopal non-degenerate
	R = (1, 110, 2, 113, 5, 109)(3, 116, 8, 118, 10, 111)(4, 119, 11, 121, 13, 112)(6, 124, 16, 126, 18, 114)(7, 127, 19, 129, 21, 115)(9, 132, 24, 125, 17, 117)(12, 137, 29, 128, 20, 120)(14, 140, 32, 141, 33, 122)(15, 142, 34, 143, 35, 123)(22, 152, 44, 153, 45, 130)(23, 154, 46, 156, 48, 131)(25, 158, 50, 155, 47, 133)(26, 160, 52, 161, 53, 134)(27, 162, 54, 149, 41, 135)(28, 163, 55, 165, 57, 136)(30, 167, 59, 164, 56, 138)(31, 169, 61, 145, 37, 139)(36, 174, 66, 175, 67, 144)(38, 177, 69, 176, 68, 146)(39, 179, 71, 180, 72, 147)(40, 181, 73, 173, 65, 148)(42, 183, 75, 182, 74, 150)(43, 185, 77, 171, 63, 151)(49, 191, 83, 193, 85, 157)(51, 178, 70, 192, 84, 159)(58, 187, 79, 201, 93, 166)(60, 184, 76, 200, 92, 168)(62, 189, 81, 204, 96, 170)(64, 198, 90, 205, 97, 172)(78, 199, 91, 207, 99, 186)(80, 212, 104, 197, 89, 188)(82, 210, 102, 195, 87, 190)(86, 211, 103, 208, 100, 194)(88, 213, 105, 203, 95, 196)(94, 209, 101, 206, 98, 202)(106, 216, 108, 215, 107, 214)
	L = (1, 3)(2, 6)(4, 12)(5, 14)(7, 20)(8, 22)(9, 25)(10, 26)(11, 28)(13, 31)(15, 29)(16, 36)(17, 38)(18, 39)(19, 41)(21, 43)(23, 47)(24, 49)(27, 50)(30, 60)(32, 62)(33, 64)(34, 65)(35, 46)(37, 68)(40, 69)(42, 76)(44, 78)(45, 79)(48, 82)(51, 86)(52, 74)(53, 88)(54, 89)(55, 83)(56, 90)(57, 87)(58, 92)(59, 67)(61, 80)(63, 85)(66, 95)(70, 99)(71, 93)(72, 100)(73, 101)(75, 96)(77, 98)(81, 103)(84, 105)(91, 97)(94, 106)(102, 107)(104, 108)(109, 112)(110, 115)(111, 117)(113, 123)(114, 125)(116, 131)(118, 135)(119, 134)(120, 138)(121, 130)(122, 132)(124, 145)(126, 148)(127, 147)(128, 150)(129, 144)(133, 159)(136, 164)(137, 166)(139, 167)(140, 171)(141, 163)(142, 172)(143, 170)(146, 178)(149, 182)(151, 183)(152, 176)(153, 188)(154, 187)(155, 189)(156, 186)(157, 192)(158, 180)(160, 195)(161, 191)(162, 196)(165, 199)(168, 202)(169, 203)(173, 201)(174, 193)(175, 206)(177, 205)(179, 197)(181, 208)(184, 210)(185, 211)(190, 204)(194, 214)(198, 209)(200, 212)(207, 215)(213, 216)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2215
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 36 e = 108 f = 18
	degree seq :: [ 6^36 ]

E28.2217 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 6})
Quotient :: halfedge^2
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^3, (Y3 * Y2)^2, R * Y3 * R * Y2, (R * Y1)^2, Y2 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y2 * Y1, (Y1^-1 * Y3 * Y1 * Y2)^2, (Y3 * Y1 * Y2 * Y3 * Y1)^2, (Y2 * Y1^-1 * Y3 * Y2 * Y1^-1)^2, Y1 * Y3 * Y2 * Y1 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 110, 2, 113, 5, 109)(3, 116, 8, 118, 10, 111)(4, 119, 11, 120, 12, 112)(6, 123, 15, 125, 17, 114)(7, 126, 18, 127, 19, 115)(9, 130, 22, 131, 23, 117)(13, 138, 30, 140, 32, 121)(14, 141, 33, 142, 34, 122)(16, 145, 37, 146, 38, 124)(20, 152, 44, 154, 46, 128)(21, 155, 47, 144, 36, 129)(24, 150, 42, 161, 53, 132)(25, 162, 54, 163, 55, 133)(26, 164, 56, 148, 40, 134)(27, 166, 58, 167, 59, 135)(28, 168, 60, 151, 43, 136)(29, 170, 62, 171, 63, 137)(31, 172, 64, 173, 65, 139)(35, 176, 68, 178, 70, 143)(39, 175, 67, 184, 76, 147)(41, 185, 77, 174, 66, 149)(45, 188, 80, 189, 81, 153)(48, 193, 85, 191, 83, 156)(49, 195, 87, 196, 88, 157)(50, 197, 89, 177, 69, 158)(51, 199, 91, 186, 78, 159)(52, 200, 92, 179, 71, 160)(57, 204, 96, 205, 97, 165)(61, 206, 98, 180, 72, 169)(73, 201, 93, 192, 84, 181)(74, 190, 82, 202, 94, 182)(75, 207, 99, 208, 100, 183)(79, 203, 95, 209, 101, 187)(86, 210, 102, 214, 106, 194)(90, 211, 103, 212, 104, 198)(105, 215, 107, 216, 108, 213)
	L = (1, 3)(2, 6)(4, 9)(5, 13)(7, 16)(8, 20)(10, 24)(11, 26)(12, 28)(14, 31)(15, 35)(17, 39)(18, 41)(19, 43)(21, 45)(22, 48)(23, 50)(25, 52)(27, 57)(29, 61)(30, 63)(32, 59)(33, 54)(34, 60)(36, 69)(37, 71)(38, 73)(40, 75)(42, 78)(44, 79)(46, 82)(47, 84)(49, 86)(51, 90)(53, 88)(55, 89)(56, 93)(58, 95)(62, 91)(64, 100)(65, 80)(66, 85)(67, 94)(68, 87)(70, 97)(72, 102)(74, 103)(76, 98)(77, 81)(83, 105)(92, 108)(96, 104)(99, 107)(101, 106)(109, 112)(110, 115)(111, 117)(113, 122)(114, 124)(116, 129)(118, 133)(119, 135)(120, 137)(121, 139)(123, 144)(125, 148)(126, 150)(127, 152)(128, 153)(130, 157)(131, 159)(132, 160)(134, 165)(136, 169)(138, 155)(140, 174)(141, 175)(142, 176)(143, 177)(145, 180)(146, 182)(147, 183)(149, 186)(151, 187)(154, 191)(156, 194)(158, 198)(161, 201)(162, 202)(163, 203)(164, 196)(166, 197)(167, 193)(168, 195)(170, 207)(171, 192)(172, 209)(173, 204)(178, 200)(179, 210)(181, 211)(184, 189)(185, 206)(188, 212)(190, 213)(199, 215)(205, 216)(208, 214)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2214
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 36 e = 108 f = 18
	degree seq :: [ 6^36 ]

E28.2218 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 6})
Quotient :: edge^2
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (Y2 * Y1)^2, (R * Y3)^2, R * Y1 * R * Y2, Y1 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y1 * Y3^-1, (Y3^-1 * Y1 * Y3 * Y2)^2, (Y3 * Y2 * Y1 * Y3 * Y1)^2, (Y3 * Y2 * Y1 * Y3 * Y2)^2, Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y1 * Y3^-1 ]
Map:: polytopal
	R = (1, 109, 4, 112, 5, 113)(2, 110, 7, 115, 8, 116)(3, 111, 9, 117, 10, 118)(6, 114, 15, 123, 16, 124)(11, 119, 26, 134, 27, 135)(12, 120, 28, 136, 29, 137)(13, 121, 31, 139, 32, 140)(14, 122, 33, 141, 34, 142)(17, 125, 40, 148, 41, 149)(18, 126, 42, 150, 43, 151)(19, 127, 45, 153, 46, 154)(20, 128, 47, 155, 48, 156)(21, 129, 50, 158, 51, 159)(22, 130, 52, 160, 53, 161)(23, 131, 55, 163, 56, 164)(24, 132, 57, 165, 58, 166)(25, 133, 59, 167, 60, 168)(30, 138, 64, 172, 65, 173)(35, 143, 70, 178, 71, 179)(36, 144, 72, 180, 73, 181)(37, 145, 75, 183, 76, 184)(38, 146, 77, 185, 78, 186)(39, 147, 79, 187, 80, 188)(44, 152, 84, 192, 85, 193)(49, 157, 89, 197, 90, 198)(54, 162, 92, 200, 93, 201)(61, 169, 97, 205, 68, 176)(62, 170, 67, 175, 98, 206)(63, 171, 66, 174, 99, 207)(69, 177, 102, 210, 103, 211)(74, 182, 105, 213, 106, 214)(81, 189, 100, 208, 88, 196)(82, 190, 87, 195, 96, 204)(83, 191, 86, 194, 101, 209)(91, 199, 94, 202, 95, 203)(104, 212, 107, 215, 108, 216)(217, 218)(219, 222)(220, 227)(221, 229)(223, 233)(224, 235)(225, 237)(226, 239)(228, 241)(230, 246)(231, 251)(232, 253)(234, 255)(236, 260)(238, 265)(240, 270)(242, 273)(243, 268)(244, 267)(245, 259)(247, 282)(248, 283)(249, 266)(250, 284)(252, 285)(254, 290)(256, 293)(257, 288)(258, 287)(261, 302)(262, 303)(263, 286)(264, 304)(269, 289)(271, 310)(272, 297)(274, 298)(275, 301)(276, 311)(277, 292)(278, 294)(279, 299)(280, 316)(281, 295)(291, 323)(296, 324)(300, 313)(305, 322)(306, 315)(307, 320)(308, 314)(309, 318)(312, 321)(317, 319)(325, 327)(326, 330)(328, 336)(329, 338)(331, 342)(332, 344)(333, 346)(334, 348)(335, 349)(337, 354)(339, 360)(340, 362)(341, 363)(343, 368)(345, 373)(347, 378)(350, 385)(351, 372)(352, 386)(353, 387)(355, 379)(356, 371)(357, 370)(358, 365)(359, 393)(361, 398)(364, 405)(366, 406)(367, 407)(369, 399)(374, 411)(375, 402)(376, 412)(377, 415)(380, 401)(381, 400)(382, 395)(383, 417)(384, 420)(388, 425)(389, 413)(390, 418)(391, 394)(392, 396)(397, 428)(403, 430)(404, 422)(408, 423)(409, 426)(410, 431)(414, 421)(416, 432)(419, 429)(424, 427)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 24, 24 ), ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2225
Graph:: simple bipartite
	v = 144 e = 216 f = 18
	degree seq :: [ 2^108, 6^36 ]

E28.2219 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 6})
Quotient :: edge^2
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, Y3^-1 * Y2 * Y1 * Y3^-1 * Y1 * Y2, (Y3 * Y1 * Y3 * Y2)^2, (Y1 * Y2)^6 ]
Map:: polytopal
	R = (1, 109, 4, 112, 5, 113)(2, 110, 7, 115, 8, 116)(3, 111, 10, 118, 11, 119)(6, 114, 17, 125, 18, 126)(9, 117, 24, 132, 25, 133)(12, 120, 28, 136, 29, 137)(13, 121, 30, 138, 31, 139)(14, 122, 32, 140, 33, 141)(15, 123, 34, 142, 35, 143)(16, 124, 37, 145, 38, 146)(19, 127, 41, 149, 42, 150)(20, 128, 43, 151, 44, 152)(21, 129, 45, 153, 46, 154)(22, 130, 47, 155, 48, 156)(23, 131, 50, 158, 51, 159)(26, 134, 54, 162, 55, 163)(27, 135, 56, 164, 57, 165)(36, 144, 67, 175, 68, 176)(39, 147, 71, 179, 72, 180)(40, 148, 73, 181, 74, 182)(49, 157, 84, 192, 85, 193)(52, 160, 76, 184, 88, 196)(53, 161, 89, 197, 79, 187)(58, 166, 92, 200, 86, 194)(59, 167, 93, 201, 69, 177)(60, 168, 94, 202, 65, 173)(61, 169, 95, 203, 63, 171)(62, 170, 70, 178, 96, 204)(64, 172, 87, 195, 97, 205)(66, 174, 99, 207, 100, 208)(75, 183, 90, 198, 101, 209)(77, 185, 103, 211, 82, 190)(78, 186, 104, 212, 80, 188)(81, 189, 102, 210, 91, 199)(83, 191, 105, 213, 106, 214)(98, 206, 107, 215, 108, 216)(217, 218)(219, 225)(220, 228)(221, 230)(222, 232)(223, 235)(224, 237)(226, 242)(227, 243)(229, 241)(231, 240)(233, 255)(234, 256)(236, 254)(238, 253)(239, 265)(244, 274)(245, 275)(246, 264)(247, 277)(248, 278)(249, 280)(250, 281)(251, 259)(252, 282)(257, 291)(258, 292)(260, 294)(261, 295)(262, 297)(263, 298)(266, 302)(267, 303)(268, 301)(269, 300)(270, 287)(271, 296)(272, 293)(273, 290)(276, 289)(279, 288)(283, 317)(284, 318)(285, 316)(286, 315)(299, 314)(304, 309)(305, 312)(306, 313)(307, 308)(310, 321)(311, 322)(319, 323)(320, 324)(325, 327)(326, 330)(328, 337)(329, 339)(331, 344)(332, 346)(333, 347)(334, 345)(335, 343)(336, 342)(338, 341)(340, 360)(348, 376)(349, 377)(350, 375)(351, 374)(352, 381)(353, 384)(354, 383)(355, 382)(356, 387)(357, 378)(358, 388)(359, 386)(361, 393)(362, 394)(363, 392)(364, 391)(365, 398)(366, 401)(367, 400)(368, 399)(369, 404)(370, 395)(371, 405)(372, 403)(373, 407)(379, 414)(380, 415)(385, 413)(389, 412)(390, 422)(396, 416)(397, 421)(402, 420)(406, 417)(408, 428)(409, 427)(410, 430)(411, 429)(418, 424)(419, 423)(425, 432)(426, 431)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 24, 24 ), ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2224
Graph:: simple bipartite
	v = 144 e = 216 f = 18
	degree seq :: [ 2^108, 6^36 ]

E28.2220 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 6})
Quotient :: edge^2
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y1 * Y2 * Y1 * Y2 * Y3^2, (Y3^-1 * Y1 * Y3^-1)^2, Y3^6, (Y2 * Y3^-2)^2, Y1 * Y3^2 * Y1 * Y2 * Y3^-2 * Y2, (Y3^-1 * Y1 * Y3^-1 * Y2)^2, Y3^-2 * Y1 * Y2 * Y1 * Y3^2 * Y2, Y1 * Y3 * Y1 * Y2 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map:: polytopal
	R = (1, 109, 4, 112, 14, 122, 39, 147, 17, 125, 5, 113)(2, 110, 7, 115, 23, 131, 55, 163, 26, 134, 8, 116)(3, 111, 10, 118, 18, 126, 43, 151, 32, 140, 11, 119)(6, 114, 19, 127, 9, 117, 27, 135, 48, 156, 20, 128)(12, 120, 34, 142, 15, 123, 41, 149, 74, 182, 35, 143)(13, 121, 37, 145, 16, 124, 42, 150, 78, 186, 38, 146)(21, 129, 50, 158, 24, 132, 57, 165, 91, 199, 51, 159)(22, 130, 53, 161, 25, 133, 58, 166, 94, 202, 54, 162)(28, 136, 62, 170, 30, 138, 68, 176, 81, 189, 63, 171)(29, 137, 65, 173, 31, 139, 69, 177, 82, 190, 66, 174)(33, 141, 70, 178, 36, 144, 75, 183, 40, 148, 71, 179)(44, 152, 83, 191, 46, 154, 87, 195, 59, 167, 84, 192)(45, 153, 85, 193, 47, 155, 88, 196, 60, 168, 86, 194)(49, 157, 64, 172, 52, 160, 67, 175, 56, 164, 61, 169)(72, 180, 103, 211, 73, 181, 105, 213, 79, 187, 104, 212)(76, 184, 106, 214, 77, 185, 108, 216, 80, 188, 107, 215)(89, 197, 99, 207, 90, 198, 100, 208, 95, 203, 102, 210)(92, 200, 101, 209, 93, 201, 97, 205, 96, 204, 98, 206)(217, 218)(219, 225)(220, 228)(221, 231)(222, 234)(223, 237)(224, 240)(226, 244)(227, 246)(229, 252)(230, 242)(232, 249)(233, 239)(235, 260)(236, 262)(238, 268)(241, 265)(243, 275)(245, 280)(247, 277)(248, 264)(250, 288)(251, 289)(253, 269)(254, 274)(255, 290)(256, 294)(257, 295)(258, 270)(259, 297)(261, 286)(263, 287)(266, 305)(267, 306)(271, 307)(272, 310)(273, 311)(276, 291)(278, 313)(279, 314)(281, 302)(282, 301)(283, 298)(284, 317)(285, 304)(292, 309)(293, 308)(296, 312)(299, 324)(300, 323)(303, 322)(315, 320)(316, 321)(318, 319)(325, 327)(326, 330)(328, 337)(329, 340)(331, 346)(332, 349)(333, 350)(334, 353)(335, 355)(336, 357)(338, 356)(339, 364)(341, 342)(343, 369)(344, 371)(345, 373)(347, 372)(348, 380)(351, 384)(352, 385)(354, 391)(358, 386)(359, 392)(360, 398)(361, 400)(362, 401)(363, 402)(365, 387)(366, 404)(367, 406)(368, 395)(370, 399)(374, 407)(375, 411)(376, 415)(377, 416)(378, 417)(379, 418)(381, 408)(382, 420)(383, 394)(388, 405)(389, 423)(390, 424)(393, 426)(396, 425)(397, 422)(403, 421)(409, 427)(410, 429)(412, 428)(413, 430)(414, 431)(419, 432)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 12, 12 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2223
Graph:: simple bipartite
	v = 126 e = 216 f = 36
	degree seq :: [ 2^108, 12^18 ]

E28.2221 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 6})
Quotient :: edge^2
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y2)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-2 * Y2)^2, (Y3^2 * Y1)^2, Y3^6, (Y3 * Y2 * Y3^-1 * Y1)^2, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3^-1 * Y2, (Y2 * Y1 * Y3^-1)^3, (Y2 * Y1 * Y3)^3 ]
Map:: polytopal
	R = (1, 109, 4, 112, 13, 121, 36, 144, 16, 124, 5, 113)(2, 110, 7, 115, 21, 129, 51, 159, 24, 132, 8, 116)(3, 111, 9, 117, 27, 135, 60, 168, 30, 138, 10, 118)(6, 114, 17, 125, 42, 150, 79, 187, 45, 153, 18, 126)(11, 119, 32, 140, 14, 122, 38, 146, 68, 176, 33, 141)(12, 120, 34, 142, 15, 123, 39, 147, 71, 179, 35, 143)(19, 127, 47, 155, 22, 130, 53, 161, 85, 193, 48, 156)(20, 128, 49, 157, 23, 131, 54, 162, 88, 196, 50, 158)(25, 133, 56, 164, 28, 136, 62, 170, 94, 202, 57, 165)(26, 134, 58, 166, 29, 137, 63, 171, 97, 205, 59, 167)(31, 139, 64, 172, 100, 208, 72, 180, 37, 145, 65, 173)(40, 148, 75, 183, 43, 151, 80, 188, 102, 210, 76, 184)(41, 149, 77, 185, 44, 152, 81, 189, 101, 209, 78, 186)(46, 154, 61, 169, 91, 199, 55, 163, 52, 160, 82, 190)(66, 174, 103, 211, 67, 175, 105, 213, 73, 181, 104, 212)(69, 177, 106, 214, 70, 178, 108, 216, 74, 182, 107, 215)(83, 191, 95, 203, 84, 192, 96, 204, 89, 197, 99, 207)(86, 194, 93, 201, 87, 195, 98, 206, 90, 198, 92, 200)(217, 218)(219, 222)(220, 227)(221, 230)(223, 235)(224, 238)(225, 241)(226, 244)(228, 247)(229, 240)(231, 253)(232, 237)(233, 256)(234, 259)(236, 262)(239, 268)(242, 271)(243, 261)(245, 277)(246, 258)(248, 282)(249, 283)(250, 270)(251, 266)(252, 284)(254, 289)(255, 265)(257, 288)(260, 280)(263, 299)(264, 300)(267, 301)(269, 305)(272, 308)(273, 309)(274, 297)(275, 294)(276, 310)(278, 314)(279, 293)(281, 317)(285, 306)(286, 303)(287, 316)(290, 302)(291, 323)(292, 322)(295, 318)(296, 324)(298, 313)(304, 307)(311, 320)(312, 321)(315, 319)(325, 327)(326, 330)(328, 336)(329, 339)(331, 344)(332, 347)(333, 350)(334, 353)(335, 355)(337, 354)(338, 361)(340, 351)(341, 365)(342, 368)(343, 370)(345, 369)(346, 376)(348, 366)(349, 379)(352, 385)(356, 381)(357, 380)(358, 393)(359, 394)(360, 395)(362, 386)(363, 398)(364, 396)(367, 388)(371, 400)(372, 399)(373, 410)(374, 411)(375, 412)(377, 404)(378, 414)(382, 419)(383, 420)(384, 421)(387, 423)(389, 426)(390, 417)(391, 416)(392, 424)(397, 422)(401, 427)(402, 429)(403, 425)(405, 428)(406, 418)(407, 430)(408, 431)(409, 415)(413, 432)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 12, 12 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2222
Graph:: simple bipartite
	v = 126 e = 216 f = 36
	degree seq :: [ 2^108, 12^18 ]

E28.2222 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 6})
Quotient :: loop^2
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (Y2 * Y1)^2, (R * Y3)^2, R * Y1 * R * Y2, Y1 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y1 * Y3^-1, (Y3^-1 * Y1 * Y3 * Y2)^2, (Y3 * Y2 * Y1 * Y3 * Y1)^2, (Y3 * Y2 * Y1 * Y3 * Y2)^2, Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y1 * Y3^-1 ]
Map::
	R = (1, 109, 217, 325, 4, 112, 220, 328, 5, 113, 221, 329)(2, 110, 218, 326, 7, 115, 223, 331, 8, 116, 224, 332)(3, 111, 219, 327, 9, 117, 225, 333, 10, 118, 226, 334)(6, 114, 222, 330, 15, 123, 231, 339, 16, 124, 232, 340)(11, 119, 227, 335, 26, 134, 242, 350, 27, 135, 243, 351)(12, 120, 228, 336, 28, 136, 244, 352, 29, 137, 245, 353)(13, 121, 229, 337, 31, 139, 247, 355, 32, 140, 248, 356)(14, 122, 230, 338, 33, 141, 249, 357, 34, 142, 250, 358)(17, 125, 233, 341, 40, 148, 256, 364, 41, 149, 257, 365)(18, 126, 234, 342, 42, 150, 258, 366, 43, 151, 259, 367)(19, 127, 235, 343, 45, 153, 261, 369, 46, 154, 262, 370)(20, 128, 236, 344, 47, 155, 263, 371, 48, 156, 264, 372)(21, 129, 237, 345, 50, 158, 266, 374, 51, 159, 267, 375)(22, 130, 238, 346, 52, 160, 268, 376, 53, 161, 269, 377)(23, 131, 239, 347, 55, 163, 271, 379, 56, 164, 272, 380)(24, 132, 240, 348, 57, 165, 273, 381, 58, 166, 274, 382)(25, 133, 241, 349, 59, 167, 275, 383, 60, 168, 276, 384)(30, 138, 246, 354, 64, 172, 280, 388, 65, 173, 281, 389)(35, 143, 251, 359, 70, 178, 286, 394, 71, 179, 287, 395)(36, 144, 252, 360, 72, 180, 288, 396, 73, 181, 289, 397)(37, 145, 253, 361, 75, 183, 291, 399, 76, 184, 292, 400)(38, 146, 254, 362, 77, 185, 293, 401, 78, 186, 294, 402)(39, 147, 255, 363, 79, 187, 295, 403, 80, 188, 296, 404)(44, 152, 260, 368, 84, 192, 300, 408, 85, 193, 301, 409)(49, 157, 265, 373, 89, 197, 305, 413, 90, 198, 306, 414)(54, 162, 270, 378, 92, 200, 308, 416, 93, 201, 309, 417)(61, 169, 277, 385, 97, 205, 313, 421, 68, 176, 284, 392)(62, 170, 278, 386, 67, 175, 283, 391, 98, 206, 314, 422)(63, 171, 279, 387, 66, 174, 282, 390, 99, 207, 315, 423)(69, 177, 285, 393, 102, 210, 318, 426, 103, 211, 319, 427)(74, 182, 290, 398, 105, 213, 321, 429, 106, 214, 322, 430)(81, 189, 297, 405, 100, 208, 316, 424, 88, 196, 304, 412)(82, 190, 298, 406, 87, 195, 303, 411, 96, 204, 312, 420)(83, 191, 299, 407, 86, 194, 302, 410, 101, 209, 317, 425)(91, 199, 307, 415, 94, 202, 310, 418, 95, 203, 311, 419)(104, 212, 320, 428, 107, 215, 323, 431, 108, 216, 324, 432)
	L = (1, 110)(2, 109)(3, 114)(4, 119)(5, 121)(6, 111)(7, 125)(8, 127)(9, 129)(10, 131)(11, 112)(12, 133)(13, 113)(14, 138)(15, 143)(16, 145)(17, 115)(18, 147)(19, 116)(20, 152)(21, 117)(22, 157)(23, 118)(24, 162)(25, 120)(26, 165)(27, 160)(28, 159)(29, 151)(30, 122)(31, 174)(32, 175)(33, 158)(34, 176)(35, 123)(36, 177)(37, 124)(38, 182)(39, 126)(40, 185)(41, 180)(42, 179)(43, 137)(44, 128)(45, 194)(46, 195)(47, 178)(48, 196)(49, 130)(50, 141)(51, 136)(52, 135)(53, 181)(54, 132)(55, 202)(56, 189)(57, 134)(58, 190)(59, 193)(60, 203)(61, 184)(62, 186)(63, 191)(64, 208)(65, 187)(66, 139)(67, 140)(68, 142)(69, 144)(70, 155)(71, 150)(72, 149)(73, 161)(74, 146)(75, 215)(76, 169)(77, 148)(78, 170)(79, 173)(80, 216)(81, 164)(82, 166)(83, 171)(84, 205)(85, 167)(86, 153)(87, 154)(88, 156)(89, 214)(90, 207)(91, 212)(92, 206)(93, 210)(94, 163)(95, 168)(96, 213)(97, 192)(98, 200)(99, 198)(100, 172)(101, 211)(102, 201)(103, 209)(104, 199)(105, 204)(106, 197)(107, 183)(108, 188)(217, 327)(218, 330)(219, 325)(220, 336)(221, 338)(222, 326)(223, 342)(224, 344)(225, 346)(226, 348)(227, 349)(228, 328)(229, 354)(230, 329)(231, 360)(232, 362)(233, 363)(234, 331)(235, 368)(236, 332)(237, 373)(238, 333)(239, 378)(240, 334)(241, 335)(242, 385)(243, 372)(244, 386)(245, 387)(246, 337)(247, 379)(248, 371)(249, 370)(250, 365)(251, 393)(252, 339)(253, 398)(254, 340)(255, 341)(256, 405)(257, 358)(258, 406)(259, 407)(260, 343)(261, 399)(262, 357)(263, 356)(264, 351)(265, 345)(266, 411)(267, 402)(268, 412)(269, 415)(270, 347)(271, 355)(272, 401)(273, 400)(274, 395)(275, 417)(276, 420)(277, 350)(278, 352)(279, 353)(280, 425)(281, 413)(282, 418)(283, 394)(284, 396)(285, 359)(286, 391)(287, 382)(288, 392)(289, 428)(290, 361)(291, 369)(292, 381)(293, 380)(294, 375)(295, 430)(296, 422)(297, 364)(298, 366)(299, 367)(300, 423)(301, 426)(302, 431)(303, 374)(304, 376)(305, 389)(306, 421)(307, 377)(308, 432)(309, 383)(310, 390)(311, 429)(312, 384)(313, 414)(314, 404)(315, 408)(316, 427)(317, 388)(318, 409)(319, 424)(320, 397)(321, 419)(322, 403)(323, 410)(324, 416)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2221
Transitivity :: VT+
Graph:: bipartite
	v = 36 e = 216 f = 126
	degree seq :: [ 12^36 ]

E28.2223 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 6})
Quotient :: loop^2
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, Y3^-1 * Y2 * Y1 * Y3^-1 * Y1 * Y2, (Y3 * Y1 * Y3 * Y2)^2, (Y1 * Y2)^6 ]
Map::
	R = (1, 109, 217, 325, 4, 112, 220, 328, 5, 113, 221, 329)(2, 110, 218, 326, 7, 115, 223, 331, 8, 116, 224, 332)(3, 111, 219, 327, 10, 118, 226, 334, 11, 119, 227, 335)(6, 114, 222, 330, 17, 125, 233, 341, 18, 126, 234, 342)(9, 117, 225, 333, 24, 132, 240, 348, 25, 133, 241, 349)(12, 120, 228, 336, 28, 136, 244, 352, 29, 137, 245, 353)(13, 121, 229, 337, 30, 138, 246, 354, 31, 139, 247, 355)(14, 122, 230, 338, 32, 140, 248, 356, 33, 141, 249, 357)(15, 123, 231, 339, 34, 142, 250, 358, 35, 143, 251, 359)(16, 124, 232, 340, 37, 145, 253, 361, 38, 146, 254, 362)(19, 127, 235, 343, 41, 149, 257, 365, 42, 150, 258, 366)(20, 128, 236, 344, 43, 151, 259, 367, 44, 152, 260, 368)(21, 129, 237, 345, 45, 153, 261, 369, 46, 154, 262, 370)(22, 130, 238, 346, 47, 155, 263, 371, 48, 156, 264, 372)(23, 131, 239, 347, 50, 158, 266, 374, 51, 159, 267, 375)(26, 134, 242, 350, 54, 162, 270, 378, 55, 163, 271, 379)(27, 135, 243, 351, 56, 164, 272, 380, 57, 165, 273, 381)(36, 144, 252, 360, 67, 175, 283, 391, 68, 176, 284, 392)(39, 147, 255, 363, 71, 179, 287, 395, 72, 180, 288, 396)(40, 148, 256, 364, 73, 181, 289, 397, 74, 182, 290, 398)(49, 157, 265, 373, 84, 192, 300, 408, 85, 193, 301, 409)(52, 160, 268, 376, 76, 184, 292, 400, 88, 196, 304, 412)(53, 161, 269, 377, 89, 197, 305, 413, 79, 187, 295, 403)(58, 166, 274, 382, 92, 200, 308, 416, 86, 194, 302, 410)(59, 167, 275, 383, 93, 201, 309, 417, 69, 177, 285, 393)(60, 168, 276, 384, 94, 202, 310, 418, 65, 173, 281, 389)(61, 169, 277, 385, 95, 203, 311, 419, 63, 171, 279, 387)(62, 170, 278, 386, 70, 178, 286, 394, 96, 204, 312, 420)(64, 172, 280, 388, 87, 195, 303, 411, 97, 205, 313, 421)(66, 174, 282, 390, 99, 207, 315, 423, 100, 208, 316, 424)(75, 183, 291, 399, 90, 198, 306, 414, 101, 209, 317, 425)(77, 185, 293, 401, 103, 211, 319, 427, 82, 190, 298, 406)(78, 186, 294, 402, 104, 212, 320, 428, 80, 188, 296, 404)(81, 189, 297, 405, 102, 210, 318, 426, 91, 199, 307, 415)(83, 191, 299, 407, 105, 213, 321, 429, 106, 214, 322, 430)(98, 206, 314, 422, 107, 215, 323, 431, 108, 216, 324, 432)
	L = (1, 110)(2, 109)(3, 117)(4, 120)(5, 122)(6, 124)(7, 127)(8, 129)(9, 111)(10, 134)(11, 135)(12, 112)(13, 133)(14, 113)(15, 132)(16, 114)(17, 147)(18, 148)(19, 115)(20, 146)(21, 116)(22, 145)(23, 157)(24, 123)(25, 121)(26, 118)(27, 119)(28, 166)(29, 167)(30, 156)(31, 169)(32, 170)(33, 172)(34, 173)(35, 151)(36, 174)(37, 130)(38, 128)(39, 125)(40, 126)(41, 183)(42, 184)(43, 143)(44, 186)(45, 187)(46, 189)(47, 190)(48, 138)(49, 131)(50, 194)(51, 195)(52, 193)(53, 192)(54, 179)(55, 188)(56, 185)(57, 182)(58, 136)(59, 137)(60, 181)(61, 139)(62, 140)(63, 180)(64, 141)(65, 142)(66, 144)(67, 209)(68, 210)(69, 208)(70, 207)(71, 162)(72, 171)(73, 168)(74, 165)(75, 149)(76, 150)(77, 164)(78, 152)(79, 153)(80, 163)(81, 154)(82, 155)(83, 206)(84, 161)(85, 160)(86, 158)(87, 159)(88, 201)(89, 204)(90, 205)(91, 200)(92, 199)(93, 196)(94, 213)(95, 214)(96, 197)(97, 198)(98, 191)(99, 178)(100, 177)(101, 175)(102, 176)(103, 215)(104, 216)(105, 202)(106, 203)(107, 211)(108, 212)(217, 327)(218, 330)(219, 325)(220, 337)(221, 339)(222, 326)(223, 344)(224, 346)(225, 347)(226, 345)(227, 343)(228, 342)(229, 328)(230, 341)(231, 329)(232, 360)(233, 338)(234, 336)(235, 335)(236, 331)(237, 334)(238, 332)(239, 333)(240, 376)(241, 377)(242, 375)(243, 374)(244, 381)(245, 384)(246, 383)(247, 382)(248, 387)(249, 378)(250, 388)(251, 386)(252, 340)(253, 393)(254, 394)(255, 392)(256, 391)(257, 398)(258, 401)(259, 400)(260, 399)(261, 404)(262, 395)(263, 405)(264, 403)(265, 407)(266, 351)(267, 350)(268, 348)(269, 349)(270, 357)(271, 414)(272, 415)(273, 352)(274, 355)(275, 354)(276, 353)(277, 413)(278, 359)(279, 356)(280, 358)(281, 412)(282, 422)(283, 364)(284, 363)(285, 361)(286, 362)(287, 370)(288, 416)(289, 421)(290, 365)(291, 368)(292, 367)(293, 366)(294, 420)(295, 372)(296, 369)(297, 371)(298, 417)(299, 373)(300, 428)(301, 427)(302, 430)(303, 429)(304, 389)(305, 385)(306, 379)(307, 380)(308, 396)(309, 406)(310, 424)(311, 423)(312, 402)(313, 397)(314, 390)(315, 419)(316, 418)(317, 432)(318, 431)(319, 409)(320, 408)(321, 411)(322, 410)(323, 426)(324, 425)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2220
Transitivity :: VT+
Graph:: bipartite
	v = 36 e = 216 f = 126
	degree seq :: [ 12^36 ]

E28.2224 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 6})
Quotient :: loop^2
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y1 * Y2 * Y1 * Y2 * Y3^2, (Y3^-1 * Y1 * Y3^-1)^2, Y3^6, (Y2 * Y3^-2)^2, Y1 * Y3^2 * Y1 * Y2 * Y3^-2 * Y2, (Y3^-1 * Y1 * Y3^-1 * Y2)^2, Y3^-2 * Y1 * Y2 * Y1 * Y3^2 * Y2, Y1 * Y3 * Y1 * Y2 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 109, 217, 325, 4, 112, 220, 328, 14, 122, 230, 338, 39, 147, 255, 363, 17, 125, 233, 341, 5, 113, 221, 329)(2, 110, 218, 326, 7, 115, 223, 331, 23, 131, 239, 347, 55, 163, 271, 379, 26, 134, 242, 350, 8, 116, 224, 332)(3, 111, 219, 327, 10, 118, 226, 334, 18, 126, 234, 342, 43, 151, 259, 367, 32, 140, 248, 356, 11, 119, 227, 335)(6, 114, 222, 330, 19, 127, 235, 343, 9, 117, 225, 333, 27, 135, 243, 351, 48, 156, 264, 372, 20, 128, 236, 344)(12, 120, 228, 336, 34, 142, 250, 358, 15, 123, 231, 339, 41, 149, 257, 365, 74, 182, 290, 398, 35, 143, 251, 359)(13, 121, 229, 337, 37, 145, 253, 361, 16, 124, 232, 340, 42, 150, 258, 366, 78, 186, 294, 402, 38, 146, 254, 362)(21, 129, 237, 345, 50, 158, 266, 374, 24, 132, 240, 348, 57, 165, 273, 381, 91, 199, 307, 415, 51, 159, 267, 375)(22, 130, 238, 346, 53, 161, 269, 377, 25, 133, 241, 349, 58, 166, 274, 382, 94, 202, 310, 418, 54, 162, 270, 378)(28, 136, 244, 352, 62, 170, 278, 386, 30, 138, 246, 354, 68, 176, 284, 392, 81, 189, 297, 405, 63, 171, 279, 387)(29, 137, 245, 353, 65, 173, 281, 389, 31, 139, 247, 355, 69, 177, 285, 393, 82, 190, 298, 406, 66, 174, 282, 390)(33, 141, 249, 357, 70, 178, 286, 394, 36, 144, 252, 360, 75, 183, 291, 399, 40, 148, 256, 364, 71, 179, 287, 395)(44, 152, 260, 368, 83, 191, 299, 407, 46, 154, 262, 370, 87, 195, 303, 411, 59, 167, 275, 383, 84, 192, 300, 408)(45, 153, 261, 369, 85, 193, 301, 409, 47, 155, 263, 371, 88, 196, 304, 412, 60, 168, 276, 384, 86, 194, 302, 410)(49, 157, 265, 373, 64, 172, 280, 388, 52, 160, 268, 376, 67, 175, 283, 391, 56, 164, 272, 380, 61, 169, 277, 385)(72, 180, 288, 396, 103, 211, 319, 427, 73, 181, 289, 397, 105, 213, 321, 429, 79, 187, 295, 403, 104, 212, 320, 428)(76, 184, 292, 400, 106, 214, 322, 430, 77, 185, 293, 401, 108, 216, 324, 432, 80, 188, 296, 404, 107, 215, 323, 431)(89, 197, 305, 413, 99, 207, 315, 423, 90, 198, 306, 414, 100, 208, 316, 424, 95, 203, 311, 419, 102, 210, 318, 426)(92, 200, 308, 416, 101, 209, 317, 425, 93, 201, 309, 417, 97, 205, 313, 421, 96, 204, 312, 420, 98, 206, 314, 422)
	L = (1, 110)(2, 109)(3, 117)(4, 120)(5, 123)(6, 126)(7, 129)(8, 132)(9, 111)(10, 136)(11, 138)(12, 112)(13, 144)(14, 134)(15, 113)(16, 141)(17, 131)(18, 114)(19, 152)(20, 154)(21, 115)(22, 160)(23, 125)(24, 116)(25, 157)(26, 122)(27, 167)(28, 118)(29, 172)(30, 119)(31, 169)(32, 156)(33, 124)(34, 180)(35, 181)(36, 121)(37, 161)(38, 166)(39, 182)(40, 186)(41, 187)(42, 162)(43, 189)(44, 127)(45, 178)(46, 128)(47, 179)(48, 140)(49, 133)(50, 197)(51, 198)(52, 130)(53, 145)(54, 150)(55, 199)(56, 202)(57, 203)(58, 146)(59, 135)(60, 183)(61, 139)(62, 205)(63, 206)(64, 137)(65, 194)(66, 193)(67, 190)(68, 209)(69, 196)(70, 153)(71, 155)(72, 142)(73, 143)(74, 147)(75, 168)(76, 201)(77, 200)(78, 148)(79, 149)(80, 204)(81, 151)(82, 175)(83, 216)(84, 215)(85, 174)(86, 173)(87, 214)(88, 177)(89, 158)(90, 159)(91, 163)(92, 185)(93, 184)(94, 164)(95, 165)(96, 188)(97, 170)(98, 171)(99, 212)(100, 213)(101, 176)(102, 211)(103, 210)(104, 207)(105, 208)(106, 195)(107, 192)(108, 191)(217, 327)(218, 330)(219, 325)(220, 337)(221, 340)(222, 326)(223, 346)(224, 349)(225, 350)(226, 353)(227, 355)(228, 357)(229, 328)(230, 356)(231, 364)(232, 329)(233, 342)(234, 341)(235, 369)(236, 371)(237, 373)(238, 331)(239, 372)(240, 380)(241, 332)(242, 333)(243, 384)(244, 385)(245, 334)(246, 391)(247, 335)(248, 338)(249, 336)(250, 386)(251, 392)(252, 398)(253, 400)(254, 401)(255, 402)(256, 339)(257, 387)(258, 404)(259, 406)(260, 395)(261, 343)(262, 399)(263, 344)(264, 347)(265, 345)(266, 407)(267, 411)(268, 415)(269, 416)(270, 417)(271, 418)(272, 348)(273, 408)(274, 420)(275, 394)(276, 351)(277, 352)(278, 358)(279, 365)(280, 405)(281, 423)(282, 424)(283, 354)(284, 359)(285, 426)(286, 383)(287, 368)(288, 425)(289, 422)(290, 360)(291, 370)(292, 361)(293, 362)(294, 363)(295, 421)(296, 366)(297, 388)(298, 367)(299, 374)(300, 381)(301, 427)(302, 429)(303, 375)(304, 428)(305, 430)(306, 431)(307, 376)(308, 377)(309, 378)(310, 379)(311, 432)(312, 382)(313, 403)(314, 397)(315, 389)(316, 390)(317, 396)(318, 393)(319, 409)(320, 412)(321, 410)(322, 413)(323, 414)(324, 419)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2219
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 216 f = 144
	degree seq :: [ 24^18 ]

E28.2225 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 6})
Quotient :: loop^2
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y2)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-2 * Y2)^2, (Y3^2 * Y1)^2, Y3^6, (Y3 * Y2 * Y3^-1 * Y1)^2, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3^-1 * Y2, (Y2 * Y1 * Y3^-1)^3, (Y2 * Y1 * Y3)^3 ]
Map::
	R = (1, 109, 217, 325, 4, 112, 220, 328, 13, 121, 229, 337, 36, 144, 252, 360, 16, 124, 232, 340, 5, 113, 221, 329)(2, 110, 218, 326, 7, 115, 223, 331, 21, 129, 237, 345, 51, 159, 267, 375, 24, 132, 240, 348, 8, 116, 224, 332)(3, 111, 219, 327, 9, 117, 225, 333, 27, 135, 243, 351, 60, 168, 276, 384, 30, 138, 246, 354, 10, 118, 226, 334)(6, 114, 222, 330, 17, 125, 233, 341, 42, 150, 258, 366, 79, 187, 295, 403, 45, 153, 261, 369, 18, 126, 234, 342)(11, 119, 227, 335, 32, 140, 248, 356, 14, 122, 230, 338, 38, 146, 254, 362, 68, 176, 284, 392, 33, 141, 249, 357)(12, 120, 228, 336, 34, 142, 250, 358, 15, 123, 231, 339, 39, 147, 255, 363, 71, 179, 287, 395, 35, 143, 251, 359)(19, 127, 235, 343, 47, 155, 263, 371, 22, 130, 238, 346, 53, 161, 269, 377, 85, 193, 301, 409, 48, 156, 264, 372)(20, 128, 236, 344, 49, 157, 265, 373, 23, 131, 239, 347, 54, 162, 270, 378, 88, 196, 304, 412, 50, 158, 266, 374)(25, 133, 241, 349, 56, 164, 272, 380, 28, 136, 244, 352, 62, 170, 278, 386, 94, 202, 310, 418, 57, 165, 273, 381)(26, 134, 242, 350, 58, 166, 274, 382, 29, 137, 245, 353, 63, 171, 279, 387, 97, 205, 313, 421, 59, 167, 275, 383)(31, 139, 247, 355, 64, 172, 280, 388, 100, 208, 316, 424, 72, 180, 288, 396, 37, 145, 253, 361, 65, 173, 281, 389)(40, 148, 256, 364, 75, 183, 291, 399, 43, 151, 259, 367, 80, 188, 296, 404, 102, 210, 318, 426, 76, 184, 292, 400)(41, 149, 257, 365, 77, 185, 293, 401, 44, 152, 260, 368, 81, 189, 297, 405, 101, 209, 317, 425, 78, 186, 294, 402)(46, 154, 262, 370, 61, 169, 277, 385, 91, 199, 307, 415, 55, 163, 271, 379, 52, 160, 268, 376, 82, 190, 298, 406)(66, 174, 282, 390, 103, 211, 319, 427, 67, 175, 283, 391, 105, 213, 321, 429, 73, 181, 289, 397, 104, 212, 320, 428)(69, 177, 285, 393, 106, 214, 322, 430, 70, 178, 286, 394, 108, 216, 324, 432, 74, 182, 290, 398, 107, 215, 323, 431)(83, 191, 299, 407, 95, 203, 311, 419, 84, 192, 300, 408, 96, 204, 312, 420, 89, 197, 305, 413, 99, 207, 315, 423)(86, 194, 302, 410, 93, 201, 309, 417, 87, 195, 303, 411, 98, 206, 314, 422, 90, 198, 306, 414, 92, 200, 308, 416)
	L = (1, 110)(2, 109)(3, 114)(4, 119)(5, 122)(6, 111)(7, 127)(8, 130)(9, 133)(10, 136)(11, 112)(12, 139)(13, 132)(14, 113)(15, 145)(16, 129)(17, 148)(18, 151)(19, 115)(20, 154)(21, 124)(22, 116)(23, 160)(24, 121)(25, 117)(26, 163)(27, 153)(28, 118)(29, 169)(30, 150)(31, 120)(32, 174)(33, 175)(34, 162)(35, 158)(36, 176)(37, 123)(38, 181)(39, 157)(40, 125)(41, 180)(42, 138)(43, 126)(44, 172)(45, 135)(46, 128)(47, 191)(48, 192)(49, 147)(50, 143)(51, 193)(52, 131)(53, 197)(54, 142)(55, 134)(56, 200)(57, 201)(58, 189)(59, 186)(60, 202)(61, 137)(62, 206)(63, 185)(64, 152)(65, 209)(66, 140)(67, 141)(68, 144)(69, 198)(70, 195)(71, 208)(72, 149)(73, 146)(74, 194)(75, 215)(76, 214)(77, 171)(78, 167)(79, 210)(80, 216)(81, 166)(82, 205)(83, 155)(84, 156)(85, 159)(86, 182)(87, 178)(88, 199)(89, 161)(90, 177)(91, 196)(92, 164)(93, 165)(94, 168)(95, 212)(96, 213)(97, 190)(98, 170)(99, 211)(100, 179)(101, 173)(102, 187)(103, 207)(104, 203)(105, 204)(106, 184)(107, 183)(108, 188)(217, 327)(218, 330)(219, 325)(220, 336)(221, 339)(222, 326)(223, 344)(224, 347)(225, 350)(226, 353)(227, 355)(228, 328)(229, 354)(230, 361)(231, 329)(232, 351)(233, 365)(234, 368)(235, 370)(236, 331)(237, 369)(238, 376)(239, 332)(240, 366)(241, 379)(242, 333)(243, 340)(244, 385)(245, 334)(246, 337)(247, 335)(248, 381)(249, 380)(250, 393)(251, 394)(252, 395)(253, 338)(254, 386)(255, 398)(256, 396)(257, 341)(258, 348)(259, 388)(260, 342)(261, 345)(262, 343)(263, 400)(264, 399)(265, 410)(266, 411)(267, 412)(268, 346)(269, 404)(270, 414)(271, 349)(272, 357)(273, 356)(274, 419)(275, 420)(276, 421)(277, 352)(278, 362)(279, 423)(280, 367)(281, 426)(282, 417)(283, 416)(284, 424)(285, 358)(286, 359)(287, 360)(288, 364)(289, 422)(290, 363)(291, 372)(292, 371)(293, 427)(294, 429)(295, 425)(296, 377)(297, 428)(298, 418)(299, 430)(300, 431)(301, 415)(302, 373)(303, 374)(304, 375)(305, 432)(306, 378)(307, 409)(308, 391)(309, 390)(310, 406)(311, 382)(312, 383)(313, 384)(314, 397)(315, 387)(316, 392)(317, 403)(318, 389)(319, 401)(320, 405)(321, 402)(322, 407)(323, 408)(324, 413)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2218
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 216 f = 144
	degree seq :: [ 24^18 ]

E28.2226 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^-3 * Y2, (Y1 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1 * Y1 * Y3 * Y2)^2, (Y3^-1 * Y1)^6, (Y3 * Y1 * Y3^-1 * Y1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110)(3, 111, 6, 114)(4, 112, 11, 119)(5, 113, 12, 120)(7, 115, 15, 123)(8, 116, 16, 124)(9, 117, 17, 125)(10, 118, 18, 126)(13, 121, 23, 131)(14, 122, 24, 132)(19, 127, 33, 141)(20, 128, 34, 142)(21, 129, 35, 143)(22, 130, 36, 144)(25, 133, 41, 149)(26, 134, 42, 150)(27, 135, 43, 151)(28, 136, 44, 152)(29, 137, 45, 153)(30, 138, 46, 154)(31, 139, 47, 155)(32, 140, 48, 156)(37, 145, 57, 165)(38, 146, 58, 166)(39, 147, 59, 167)(40, 148, 60, 168)(49, 157, 68, 176)(50, 158, 77, 185)(51, 159, 63, 171)(52, 160, 78, 186)(53, 161, 79, 187)(54, 162, 66, 174)(55, 163, 80, 188)(56, 164, 61, 169)(62, 170, 89, 197)(64, 172, 90, 198)(65, 173, 91, 199)(67, 175, 92, 200)(69, 177, 88, 196)(70, 178, 93, 201)(71, 179, 83, 191)(72, 180, 94, 202)(73, 181, 95, 203)(74, 182, 86, 194)(75, 183, 96, 204)(76, 184, 81, 189)(82, 190, 99, 207)(84, 192, 100, 208)(85, 193, 101, 209)(87, 195, 102, 210)(97, 205, 104, 212)(98, 206, 103, 211)(105, 213, 108, 216)(106, 214, 107, 215)(217, 325, 219, 327)(218, 326, 222, 330)(220, 328, 225, 333)(221, 329, 226, 334)(223, 331, 229, 337)(224, 332, 230, 338)(227, 335, 233, 341)(228, 336, 234, 342)(231, 339, 239, 347)(232, 340, 240, 348)(235, 343, 245, 353)(236, 344, 246, 354)(237, 345, 247, 355)(238, 346, 248, 356)(241, 349, 253, 361)(242, 350, 254, 362)(243, 351, 255, 363)(244, 352, 256, 364)(249, 357, 261, 369)(250, 358, 262, 370)(251, 359, 263, 371)(252, 360, 264, 372)(257, 365, 273, 381)(258, 366, 274, 382)(259, 367, 275, 383)(260, 368, 276, 384)(265, 373, 285, 393)(266, 374, 286, 394)(267, 375, 287, 395)(268, 376, 288, 396)(269, 377, 289, 397)(270, 378, 290, 398)(271, 379, 291, 399)(272, 380, 292, 400)(277, 385, 297, 405)(278, 386, 298, 406)(279, 387, 299, 407)(280, 388, 300, 408)(281, 389, 301, 409)(282, 390, 302, 410)(283, 391, 303, 411)(284, 392, 304, 412)(293, 401, 309, 417)(294, 402, 310, 418)(295, 403, 311, 419)(296, 404, 312, 420)(305, 413, 315, 423)(306, 414, 316, 424)(307, 415, 317, 425)(308, 416, 318, 426)(313, 421, 321, 429)(314, 422, 322, 430)(319, 427, 323, 431)(320, 428, 324, 432)
	L = (1, 220)(2, 223)(3, 225)(4, 226)(5, 217)(6, 229)(7, 230)(8, 218)(9, 221)(10, 219)(11, 235)(12, 237)(13, 224)(14, 222)(15, 241)(16, 243)(17, 245)(18, 247)(19, 246)(20, 227)(21, 248)(22, 228)(23, 253)(24, 255)(25, 254)(26, 231)(27, 256)(28, 232)(29, 236)(30, 233)(31, 238)(32, 234)(33, 265)(34, 267)(35, 269)(36, 271)(37, 242)(38, 239)(39, 244)(40, 240)(41, 277)(42, 279)(43, 281)(44, 283)(45, 285)(46, 287)(47, 289)(48, 291)(49, 286)(50, 249)(51, 288)(52, 250)(53, 290)(54, 251)(55, 292)(56, 252)(57, 297)(58, 299)(59, 301)(60, 303)(61, 298)(62, 257)(63, 300)(64, 258)(65, 302)(66, 259)(67, 304)(68, 260)(69, 266)(70, 261)(71, 268)(72, 262)(73, 270)(74, 263)(75, 272)(76, 264)(77, 312)(78, 314)(79, 310)(80, 313)(81, 278)(82, 273)(83, 280)(84, 274)(85, 282)(86, 275)(87, 284)(88, 276)(89, 318)(90, 320)(91, 316)(92, 319)(93, 296)(94, 322)(95, 294)(96, 321)(97, 293)(98, 295)(99, 308)(100, 324)(101, 306)(102, 323)(103, 305)(104, 307)(105, 309)(106, 311)(107, 315)(108, 317)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2261
Graph:: simple bipartite
	v = 108 e = 216 f = 54
	degree seq :: [ 4^108 ]

E28.2227 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y3^3, Y2 * Y3 * Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2, Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y3^-1 * Y1 * Y2, Y3^-1 * Y1 * Y2 * Y1 * Y3^-2 * Y1 * Y3 * Y1 * Y3^-1, Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110)(3, 111, 9, 117)(4, 112, 12, 120)(5, 113, 13, 121)(6, 114, 14, 122)(7, 115, 17, 125)(8, 116, 18, 126)(10, 118, 22, 130)(11, 119, 23, 131)(15, 123, 33, 141)(16, 124, 34, 142)(19, 127, 41, 149)(20, 128, 44, 152)(21, 129, 45, 153)(24, 132, 52, 160)(25, 133, 55, 163)(26, 134, 56, 164)(27, 135, 57, 165)(28, 136, 60, 168)(29, 137, 61, 169)(30, 138, 62, 170)(31, 139, 65, 173)(32, 140, 66, 174)(35, 143, 73, 181)(36, 144, 76, 184)(37, 145, 77, 185)(38, 146, 78, 186)(39, 147, 81, 189)(40, 148, 82, 190)(42, 150, 72, 180)(43, 151, 68, 176)(46, 154, 80, 188)(47, 155, 64, 172)(48, 156, 75, 183)(49, 157, 74, 182)(50, 158, 79, 187)(51, 159, 63, 171)(53, 161, 70, 178)(54, 162, 69, 177)(58, 166, 71, 179)(59, 167, 67, 175)(83, 191, 96, 204)(84, 192, 104, 212)(85, 193, 100, 208)(86, 194, 99, 207)(87, 195, 98, 206)(88, 196, 103, 211)(89, 197, 102, 210)(90, 198, 101, 209)(91, 199, 97, 205)(92, 200, 105, 213)(93, 201, 107, 215)(94, 202, 106, 214)(95, 203, 108, 216)(217, 325, 219, 327)(218, 326, 222, 330)(220, 328, 226, 334)(221, 329, 227, 335)(223, 331, 231, 339)(224, 332, 232, 340)(225, 333, 235, 343)(228, 336, 240, 348)(229, 337, 243, 351)(230, 338, 246, 354)(233, 341, 251, 359)(234, 342, 254, 362)(236, 344, 258, 366)(237, 345, 259, 367)(238, 346, 262, 370)(239, 347, 265, 373)(241, 349, 269, 377)(242, 350, 270, 378)(244, 352, 274, 382)(245, 353, 275, 383)(247, 355, 279, 387)(248, 356, 280, 388)(249, 357, 283, 391)(250, 358, 286, 394)(252, 360, 290, 398)(253, 361, 291, 399)(255, 363, 295, 403)(256, 364, 296, 404)(257, 365, 299, 407)(260, 368, 302, 410)(261, 369, 305, 413)(263, 371, 308, 416)(264, 372, 309, 417)(266, 374, 310, 418)(267, 375, 311, 419)(268, 376, 307, 415)(271, 379, 301, 409)(272, 380, 304, 412)(273, 381, 303, 411)(276, 384, 306, 414)(277, 385, 300, 408)(278, 386, 312, 420)(281, 389, 315, 423)(282, 390, 318, 426)(284, 392, 321, 429)(285, 393, 322, 430)(287, 395, 323, 431)(288, 396, 324, 432)(289, 397, 320, 428)(292, 400, 314, 422)(293, 401, 317, 425)(294, 402, 316, 424)(297, 405, 319, 427)(298, 406, 313, 421)
	L = (1, 220)(2, 223)(3, 226)(4, 227)(5, 217)(6, 231)(7, 232)(8, 218)(9, 236)(10, 221)(11, 219)(12, 241)(13, 244)(14, 247)(15, 224)(16, 222)(17, 252)(18, 255)(19, 258)(20, 259)(21, 225)(22, 263)(23, 266)(24, 269)(25, 270)(26, 228)(27, 274)(28, 275)(29, 229)(30, 279)(31, 280)(32, 230)(33, 284)(34, 287)(35, 290)(36, 291)(37, 233)(38, 295)(39, 296)(40, 234)(41, 300)(42, 237)(43, 235)(44, 303)(45, 306)(46, 308)(47, 309)(48, 238)(49, 310)(50, 311)(51, 239)(52, 305)(53, 242)(54, 240)(55, 299)(56, 302)(57, 304)(58, 245)(59, 243)(60, 307)(61, 301)(62, 313)(63, 248)(64, 246)(65, 316)(66, 319)(67, 321)(68, 322)(69, 249)(70, 323)(71, 324)(72, 250)(73, 318)(74, 253)(75, 251)(76, 312)(77, 315)(78, 317)(79, 256)(80, 254)(81, 320)(82, 314)(83, 277)(84, 271)(85, 257)(86, 273)(87, 272)(88, 260)(89, 276)(90, 268)(91, 261)(92, 264)(93, 262)(94, 267)(95, 265)(96, 298)(97, 292)(98, 278)(99, 294)(100, 293)(101, 281)(102, 297)(103, 289)(104, 282)(105, 285)(106, 283)(107, 288)(108, 286)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2259
Graph:: simple bipartite
	v = 108 e = 216 f = 54
	degree seq :: [ 4^108 ]

E28.2228 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y3^-3, Y3 * Y2 * Y3^-1 * Y2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y2, (Y3 * Y1 * Y3 * Y1 * Y2)^2, (Y3^-1 * Y1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110)(3, 111, 9, 117)(4, 112, 12, 120)(5, 113, 13, 121)(6, 114, 14, 122)(7, 115, 17, 125)(8, 116, 18, 126)(10, 118, 22, 130)(11, 119, 23, 131)(15, 123, 33, 141)(16, 124, 34, 142)(19, 127, 41, 149)(20, 128, 44, 152)(21, 129, 45, 153)(24, 132, 52, 160)(25, 133, 55, 163)(26, 134, 56, 164)(27, 135, 57, 165)(28, 136, 60, 168)(29, 137, 61, 169)(30, 138, 62, 170)(31, 139, 65, 173)(32, 140, 66, 174)(35, 143, 73, 181)(36, 144, 76, 184)(37, 145, 77, 185)(38, 146, 78, 186)(39, 147, 81, 189)(40, 148, 82, 190)(42, 150, 71, 179)(43, 151, 69, 177)(46, 154, 75, 183)(47, 155, 80, 188)(48, 156, 64, 172)(49, 157, 79, 187)(50, 158, 63, 171)(51, 159, 74, 182)(53, 161, 72, 180)(54, 162, 67, 175)(58, 166, 70, 178)(59, 167, 68, 176)(83, 191, 96, 204)(84, 192, 103, 211)(85, 193, 101, 209)(86, 194, 102, 210)(87, 195, 100, 208)(88, 196, 98, 206)(89, 197, 99, 207)(90, 198, 97, 205)(91, 199, 104, 212)(92, 200, 105, 213)(93, 201, 107, 215)(94, 202, 106, 214)(95, 203, 108, 216)(217, 325, 219, 327)(218, 326, 222, 330)(220, 328, 226, 334)(221, 329, 227, 335)(223, 331, 231, 339)(224, 332, 232, 340)(225, 333, 235, 343)(228, 336, 240, 348)(229, 337, 243, 351)(230, 338, 246, 354)(233, 341, 251, 359)(234, 342, 254, 362)(236, 344, 258, 366)(237, 345, 259, 367)(238, 346, 262, 370)(239, 347, 265, 373)(241, 349, 269, 377)(242, 350, 270, 378)(244, 352, 274, 382)(245, 353, 275, 383)(247, 355, 279, 387)(248, 356, 280, 388)(249, 357, 283, 391)(250, 358, 286, 394)(252, 360, 290, 398)(253, 361, 291, 399)(255, 363, 295, 403)(256, 364, 296, 404)(257, 365, 299, 407)(260, 368, 302, 410)(261, 369, 305, 413)(263, 371, 308, 416)(264, 372, 309, 417)(266, 374, 310, 418)(267, 375, 311, 419)(268, 376, 304, 412)(271, 379, 307, 415)(272, 380, 301, 409)(273, 381, 306, 414)(276, 384, 300, 408)(277, 385, 303, 411)(278, 386, 312, 420)(281, 389, 315, 423)(282, 390, 318, 426)(284, 392, 321, 429)(285, 393, 322, 430)(287, 395, 323, 431)(288, 396, 324, 432)(289, 397, 317, 425)(292, 400, 320, 428)(293, 401, 314, 422)(294, 402, 319, 427)(297, 405, 313, 421)(298, 406, 316, 424)
	L = (1, 220)(2, 223)(3, 226)(4, 227)(5, 217)(6, 231)(7, 232)(8, 218)(9, 236)(10, 221)(11, 219)(12, 241)(13, 244)(14, 247)(15, 224)(16, 222)(17, 252)(18, 255)(19, 258)(20, 259)(21, 225)(22, 263)(23, 266)(24, 269)(25, 270)(26, 228)(27, 274)(28, 275)(29, 229)(30, 279)(31, 280)(32, 230)(33, 284)(34, 287)(35, 290)(36, 291)(37, 233)(38, 295)(39, 296)(40, 234)(41, 300)(42, 237)(43, 235)(44, 303)(45, 306)(46, 308)(47, 309)(48, 238)(49, 310)(50, 311)(51, 239)(52, 302)(53, 242)(54, 240)(55, 305)(56, 299)(57, 307)(58, 245)(59, 243)(60, 301)(61, 304)(62, 313)(63, 248)(64, 246)(65, 316)(66, 319)(67, 321)(68, 322)(69, 249)(70, 323)(71, 324)(72, 250)(73, 315)(74, 253)(75, 251)(76, 318)(77, 312)(78, 320)(79, 256)(80, 254)(81, 314)(82, 317)(83, 276)(84, 272)(85, 257)(86, 277)(87, 268)(88, 260)(89, 273)(90, 271)(91, 261)(92, 264)(93, 262)(94, 267)(95, 265)(96, 297)(97, 293)(98, 278)(99, 298)(100, 289)(101, 281)(102, 294)(103, 292)(104, 282)(105, 285)(106, 283)(107, 288)(108, 286)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2262
Graph:: simple bipartite
	v = 108 e = 216 f = 54
	degree seq :: [ 4^108 ]

E28.2229 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y3^-1, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y2 * Y1)^2, Y3^2 * Y2 * Y3^-2 * Y2, (Y3 * Y2)^3, Y3^6, (Y2 * R * Y2 * Y1)^2, Y3^2 * Y2 * Y3 * Y1 * Y3^-3 * Y2 * Y1, (Y3^-1 * Y1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110)(3, 111, 9, 117)(4, 112, 12, 120)(5, 113, 15, 123)(6, 114, 18, 126)(7, 115, 21, 129)(8, 116, 24, 132)(10, 118, 25, 133)(11, 119, 26, 134)(13, 121, 23, 131)(14, 122, 22, 130)(16, 124, 19, 127)(17, 125, 20, 128)(27, 135, 53, 161)(28, 136, 56, 164)(29, 137, 59, 167)(30, 138, 58, 166)(31, 139, 57, 165)(32, 140, 54, 162)(33, 141, 55, 163)(34, 142, 62, 170)(35, 143, 64, 172)(36, 144, 65, 173)(37, 145, 63, 171)(38, 146, 66, 174)(39, 147, 67, 175)(40, 148, 68, 176)(41, 149, 71, 179)(42, 150, 74, 182)(43, 151, 73, 181)(44, 152, 72, 180)(45, 153, 69, 177)(46, 154, 70, 178)(47, 155, 77, 185)(48, 156, 79, 187)(49, 157, 80, 188)(50, 158, 78, 186)(51, 159, 81, 189)(52, 160, 82, 190)(60, 168, 75, 183)(61, 169, 76, 184)(83, 191, 94, 202)(84, 192, 103, 211)(85, 193, 101, 209)(86, 194, 106, 214)(87, 195, 105, 213)(88, 196, 99, 207)(89, 197, 104, 212)(90, 198, 96, 204)(91, 199, 102, 210)(92, 200, 95, 203)(93, 201, 100, 208)(97, 205, 108, 216)(98, 206, 107, 215)(217, 325, 219, 327)(218, 326, 222, 330)(220, 328, 229, 337)(221, 329, 232, 340)(223, 331, 238, 346)(224, 332, 241, 349)(225, 333, 243, 351)(226, 334, 246, 354)(227, 335, 248, 356)(228, 336, 245, 353)(230, 338, 247, 355)(231, 339, 254, 362)(233, 341, 249, 357)(234, 342, 256, 364)(235, 343, 259, 367)(236, 344, 261, 369)(237, 345, 258, 366)(239, 347, 260, 368)(240, 348, 267, 375)(242, 350, 262, 370)(244, 352, 273, 381)(250, 358, 279, 387)(251, 359, 270, 378)(252, 360, 277, 385)(253, 361, 276, 384)(255, 363, 281, 389)(257, 365, 288, 396)(263, 371, 294, 402)(264, 372, 285, 393)(265, 373, 292, 400)(266, 374, 291, 399)(268, 376, 296, 404)(269, 377, 299, 407)(271, 379, 303, 411)(272, 380, 301, 409)(274, 382, 302, 410)(275, 383, 306, 414)(278, 386, 307, 415)(280, 388, 309, 417)(282, 390, 308, 416)(283, 391, 304, 412)(284, 392, 310, 418)(286, 394, 314, 422)(287, 395, 312, 420)(289, 397, 313, 421)(290, 398, 317, 425)(293, 401, 318, 426)(295, 403, 320, 428)(297, 405, 319, 427)(298, 406, 315, 423)(300, 408, 322, 430)(305, 413, 321, 429)(311, 419, 324, 432)(316, 424, 323, 431)
	L = (1, 220)(2, 223)(3, 226)(4, 230)(5, 217)(6, 235)(7, 239)(8, 218)(9, 244)(10, 247)(11, 219)(12, 250)(13, 248)(14, 253)(15, 245)(16, 252)(17, 221)(18, 257)(19, 260)(20, 222)(21, 263)(22, 261)(23, 266)(24, 258)(25, 265)(26, 224)(27, 270)(28, 274)(29, 225)(30, 232)(31, 277)(32, 276)(33, 227)(34, 273)(35, 228)(36, 229)(37, 233)(38, 271)(39, 231)(40, 285)(41, 289)(42, 234)(43, 241)(44, 292)(45, 291)(46, 236)(47, 288)(48, 237)(49, 238)(50, 242)(51, 286)(52, 240)(53, 300)(54, 302)(55, 243)(56, 304)(57, 303)(58, 255)(59, 301)(60, 246)(61, 249)(62, 305)(63, 254)(64, 307)(65, 251)(66, 299)(67, 306)(68, 311)(69, 313)(70, 256)(71, 315)(72, 314)(73, 268)(74, 312)(75, 259)(76, 262)(77, 316)(78, 267)(79, 318)(80, 264)(81, 310)(82, 317)(83, 321)(84, 280)(85, 269)(86, 279)(87, 281)(88, 322)(89, 272)(90, 282)(91, 275)(92, 278)(93, 283)(94, 323)(95, 295)(96, 284)(97, 294)(98, 296)(99, 324)(100, 287)(101, 297)(102, 290)(103, 293)(104, 298)(105, 309)(106, 308)(107, 320)(108, 319)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2263
Graph:: simple bipartite
	v = 108 e = 216 f = 54
	degree seq :: [ 4^108 ]

E28.2230 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1 * Y2 * Y3 * Y1, (Y3^-1 * Y1 * Y2)^2, (Y3 * Y2)^3, Y3^2 * Y2 * Y3^-2 * Y2, Y3^6, (Y2 * R * Y2 * Y1)^2, (Y3^-1 * Y1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110)(3, 111, 9, 117)(4, 112, 12, 120)(5, 113, 15, 123)(6, 114, 18, 126)(7, 115, 21, 129)(8, 116, 24, 132)(10, 118, 23, 131)(11, 119, 22, 130)(13, 121, 20, 128)(14, 122, 19, 127)(16, 124, 26, 134)(17, 125, 25, 133)(27, 135, 53, 161)(28, 136, 56, 164)(29, 137, 57, 165)(30, 138, 55, 163)(31, 139, 54, 162)(32, 140, 59, 167)(33, 141, 58, 166)(34, 142, 62, 170)(35, 143, 64, 172)(36, 144, 65, 173)(37, 145, 63, 171)(38, 146, 66, 174)(39, 147, 67, 175)(40, 148, 68, 176)(41, 149, 71, 179)(42, 150, 72, 180)(43, 151, 70, 178)(44, 152, 69, 177)(45, 153, 74, 182)(46, 154, 73, 181)(47, 155, 77, 185)(48, 156, 79, 187)(49, 157, 80, 188)(50, 158, 78, 186)(51, 159, 81, 189)(52, 160, 82, 190)(60, 168, 75, 183)(61, 169, 76, 184)(83, 191, 94, 202)(84, 192, 99, 207)(85, 193, 103, 211)(86, 194, 105, 213)(87, 195, 106, 214)(88, 196, 95, 203)(89, 197, 100, 208)(90, 198, 104, 212)(91, 199, 102, 210)(92, 200, 96, 204)(93, 201, 101, 209)(97, 205, 107, 215)(98, 206, 108, 216)(217, 325, 219, 327)(218, 326, 222, 330)(220, 328, 229, 337)(221, 329, 232, 340)(223, 331, 238, 346)(224, 332, 241, 349)(225, 333, 243, 351)(226, 334, 246, 354)(227, 335, 248, 356)(228, 336, 250, 358)(230, 338, 247, 355)(231, 339, 244, 352)(233, 341, 249, 357)(234, 342, 256, 364)(235, 343, 259, 367)(236, 344, 261, 369)(237, 345, 263, 371)(239, 347, 260, 368)(240, 348, 257, 365)(242, 350, 262, 370)(245, 353, 274, 382)(251, 359, 281, 389)(252, 360, 277, 385)(253, 361, 276, 384)(254, 362, 271, 379)(255, 363, 279, 387)(258, 366, 289, 397)(264, 372, 296, 404)(265, 373, 292, 400)(266, 374, 291, 399)(267, 375, 286, 394)(268, 376, 294, 402)(269, 377, 299, 407)(270, 378, 302, 410)(272, 380, 304, 412)(273, 381, 300, 408)(275, 383, 303, 411)(278, 386, 308, 416)(280, 388, 307, 415)(282, 390, 309, 417)(283, 391, 305, 413)(284, 392, 310, 418)(285, 393, 313, 421)(287, 395, 315, 423)(288, 396, 311, 419)(290, 398, 314, 422)(293, 401, 319, 427)(295, 403, 318, 426)(297, 405, 320, 428)(298, 406, 316, 424)(301, 409, 322, 430)(306, 414, 321, 429)(312, 420, 324, 432)(317, 425, 323, 431)
	L = (1, 220)(2, 223)(3, 226)(4, 230)(5, 217)(6, 235)(7, 239)(8, 218)(9, 244)(10, 247)(11, 219)(12, 251)(13, 248)(14, 253)(15, 254)(16, 252)(17, 221)(18, 257)(19, 260)(20, 222)(21, 264)(22, 261)(23, 266)(24, 267)(25, 265)(26, 224)(27, 270)(28, 228)(29, 225)(30, 232)(31, 277)(32, 276)(33, 227)(34, 279)(35, 275)(36, 229)(37, 233)(38, 281)(39, 231)(40, 285)(41, 237)(42, 234)(43, 241)(44, 292)(45, 291)(46, 236)(47, 294)(48, 290)(49, 238)(50, 242)(51, 296)(52, 240)(53, 300)(54, 250)(55, 243)(56, 305)(57, 306)(58, 255)(59, 245)(60, 246)(61, 249)(62, 304)(63, 303)(64, 309)(65, 302)(66, 301)(67, 308)(68, 311)(69, 263)(70, 256)(71, 316)(72, 317)(73, 268)(74, 258)(75, 259)(76, 262)(77, 315)(78, 314)(79, 320)(80, 313)(81, 312)(82, 319)(83, 278)(84, 272)(85, 269)(86, 274)(87, 271)(88, 280)(89, 282)(90, 283)(91, 273)(92, 322)(93, 321)(94, 293)(95, 287)(96, 284)(97, 289)(98, 286)(99, 295)(100, 297)(101, 298)(102, 288)(103, 324)(104, 323)(105, 299)(106, 307)(107, 310)(108, 318)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2260
Graph:: simple bipartite
	v = 108 e = 216 f = 54
	degree seq :: [ 4^108 ]

E28.2231 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3^-1 * Y1, (Y2 * R * Y3)^2, (Y3^-1 * Y2)^3, Y3^6, Y3 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3^2, Y2 * R * Y2 * Y1 * Y3 * R * Y2 * Y3^-2 * Y1, Y3 * Y2 * Y3^2 * Y1 * Y2 * Y3^-1 * Y2 * Y3 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110)(3, 111, 9, 117)(4, 112, 7, 115)(5, 113, 8, 116)(6, 114, 16, 124)(10, 118, 24, 132)(11, 119, 25, 133)(12, 120, 30, 138)(13, 121, 20, 128)(14, 122, 34, 142)(15, 123, 22, 130)(17, 125, 38, 146)(18, 126, 39, 147)(19, 127, 44, 152)(21, 129, 48, 156)(23, 131, 51, 159)(26, 134, 56, 164)(27, 135, 53, 161)(28, 136, 59, 167)(29, 137, 55, 163)(31, 139, 63, 171)(32, 140, 66, 174)(33, 141, 47, 155)(35, 143, 68, 176)(36, 144, 62, 170)(37, 145, 72, 180)(40, 148, 77, 185)(41, 149, 74, 182)(42, 150, 80, 188)(43, 151, 76, 184)(45, 153, 84, 192)(46, 154, 87, 195)(49, 157, 89, 197)(50, 158, 83, 191)(52, 160, 93, 201)(54, 162, 95, 203)(57, 165, 85, 193)(58, 166, 99, 207)(60, 168, 90, 198)(61, 169, 97, 205)(64, 172, 78, 186)(65, 173, 92, 200)(67, 175, 91, 199)(69, 177, 81, 189)(70, 178, 88, 196)(71, 179, 86, 194)(73, 181, 101, 209)(75, 183, 103, 211)(79, 187, 107, 215)(82, 190, 105, 213)(94, 202, 104, 212)(96, 204, 102, 210)(98, 206, 108, 216)(100, 208, 106, 214)(217, 325, 219, 327)(218, 326, 222, 330)(220, 328, 228, 336)(221, 329, 230, 338)(223, 331, 235, 343)(224, 332, 237, 345)(225, 333, 239, 347)(226, 334, 242, 350)(227, 335, 244, 352)(229, 337, 248, 356)(231, 339, 252, 360)(232, 340, 253, 361)(233, 341, 256, 364)(234, 342, 258, 366)(236, 344, 262, 370)(238, 346, 266, 374)(240, 348, 268, 376)(241, 349, 270, 378)(243, 351, 274, 382)(245, 353, 277, 385)(246, 354, 278, 386)(247, 355, 280, 388)(249, 357, 267, 375)(250, 358, 282, 390)(251, 359, 285, 393)(254, 362, 289, 397)(255, 363, 291, 399)(257, 365, 295, 403)(259, 367, 298, 406)(260, 368, 299, 407)(261, 369, 301, 409)(263, 371, 288, 396)(264, 372, 303, 411)(265, 373, 306, 414)(269, 377, 308, 416)(271, 379, 304, 412)(272, 380, 313, 421)(273, 381, 314, 422)(275, 383, 315, 423)(276, 384, 316, 424)(279, 387, 310, 418)(281, 389, 311, 419)(283, 391, 292, 400)(284, 392, 312, 420)(286, 394, 309, 417)(287, 395, 290, 398)(293, 401, 321, 429)(294, 402, 322, 430)(296, 404, 323, 431)(297, 405, 324, 432)(300, 408, 318, 426)(302, 410, 319, 427)(305, 413, 320, 428)(307, 415, 317, 425)
	L = (1, 220)(2, 223)(3, 226)(4, 229)(5, 217)(6, 233)(7, 236)(8, 218)(9, 240)(10, 243)(11, 219)(12, 244)(13, 249)(14, 251)(15, 221)(16, 254)(17, 257)(18, 222)(19, 258)(20, 263)(21, 265)(22, 224)(23, 259)(24, 269)(25, 225)(26, 230)(27, 253)(28, 276)(29, 227)(30, 275)(31, 228)(32, 280)(33, 231)(34, 284)(35, 286)(36, 287)(37, 245)(38, 290)(39, 232)(40, 237)(41, 239)(42, 297)(43, 234)(44, 296)(45, 235)(46, 301)(47, 238)(48, 305)(49, 307)(50, 308)(51, 292)(52, 295)(53, 288)(54, 312)(55, 241)(56, 250)(57, 242)(58, 314)(59, 306)(60, 299)(61, 291)(62, 302)(63, 246)(64, 293)(65, 247)(66, 294)(67, 248)(68, 304)(69, 252)(70, 303)(71, 300)(72, 271)(73, 274)(74, 267)(75, 320)(76, 255)(77, 264)(78, 256)(79, 322)(80, 285)(81, 278)(82, 270)(83, 281)(84, 260)(85, 272)(86, 261)(87, 273)(88, 262)(89, 283)(90, 266)(91, 282)(92, 279)(93, 323)(94, 268)(95, 318)(96, 317)(97, 319)(98, 321)(99, 324)(100, 277)(101, 315)(102, 289)(103, 310)(104, 309)(105, 311)(106, 313)(107, 316)(108, 298)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2258
Graph:: simple bipartite
	v = 108 e = 216 f = 54
	degree seq :: [ 4^108 ]

E28.2232 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 28>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (R * Y3)^2, (R * Y1)^2, R * Y2 * R * Y3 * Y2 * Y3, Y2 * R * Y2 * R * Y2 * Y3, Y3 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y3 * Y1, (Y3 * Y1 * Y2 * Y1 * R * Y2)^2, Y3 * Y1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y1, (Y3 * Y1)^6, (Y2 * Y1 * Y3 * Y1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110)(3, 111, 7, 115)(4, 112, 9, 117)(5, 113, 11, 119)(6, 114, 13, 121)(8, 116, 17, 125)(10, 118, 21, 129)(12, 120, 24, 132)(14, 122, 28, 136)(15, 123, 29, 137)(16, 124, 31, 139)(18, 126, 35, 143)(19, 127, 36, 144)(20, 128, 38, 146)(22, 130, 42, 150)(23, 131, 44, 152)(25, 133, 48, 156)(26, 134, 49, 157)(27, 135, 51, 159)(30, 138, 47, 155)(32, 140, 60, 168)(33, 141, 61, 169)(34, 142, 43, 151)(37, 145, 68, 176)(39, 147, 53, 161)(40, 148, 52, 160)(41, 149, 72, 180)(45, 153, 79, 187)(46, 154, 80, 188)(50, 158, 87, 195)(54, 162, 91, 199)(55, 163, 74, 182)(56, 164, 78, 186)(57, 165, 94, 202)(58, 166, 86, 194)(59, 167, 75, 183)(62, 170, 81, 189)(63, 171, 90, 198)(64, 172, 96, 204)(65, 173, 98, 206)(66, 174, 89, 197)(67, 175, 77, 185)(69, 177, 95, 203)(70, 178, 85, 193)(71, 179, 82, 190)(73, 181, 92, 200)(76, 184, 100, 208)(83, 191, 102, 210)(84, 192, 104, 212)(88, 196, 101, 209)(93, 201, 103, 211)(97, 205, 99, 207)(105, 213, 107, 215)(106, 214, 108, 216)(217, 325, 219, 327)(218, 326, 221, 329)(220, 328, 226, 334)(222, 330, 230, 338)(223, 331, 231, 339)(224, 332, 234, 342)(225, 333, 235, 343)(227, 335, 238, 346)(228, 336, 241, 349)(229, 337, 242, 350)(232, 340, 248, 356)(233, 341, 249, 357)(236, 344, 255, 363)(237, 345, 256, 364)(239, 347, 261, 369)(240, 348, 262, 370)(243, 351, 268, 376)(244, 352, 269, 377)(245, 353, 271, 379)(246, 354, 273, 381)(247, 355, 274, 382)(250, 358, 279, 387)(251, 359, 280, 388)(252, 360, 282, 390)(253, 361, 285, 393)(254, 362, 286, 394)(257, 365, 289, 397)(258, 366, 290, 398)(259, 367, 292, 400)(260, 368, 293, 401)(263, 371, 298, 406)(264, 372, 299, 407)(265, 373, 301, 409)(266, 374, 304, 412)(267, 375, 305, 413)(270, 378, 308, 416)(272, 380, 309, 417)(275, 383, 312, 420)(276, 384, 306, 414)(277, 385, 313, 421)(278, 386, 303, 411)(281, 389, 307, 415)(283, 391, 310, 418)(284, 392, 297, 405)(287, 395, 295, 403)(288, 396, 300, 408)(291, 399, 315, 423)(294, 402, 318, 426)(296, 404, 319, 427)(302, 410, 316, 424)(311, 419, 322, 430)(314, 422, 321, 429)(317, 425, 324, 432)(320, 428, 323, 431)
	L = (1, 220)(2, 222)(3, 224)(4, 217)(5, 228)(6, 218)(7, 232)(8, 219)(9, 236)(10, 234)(11, 239)(12, 221)(13, 243)(14, 241)(15, 246)(16, 223)(17, 250)(18, 226)(19, 253)(20, 225)(21, 257)(22, 259)(23, 227)(24, 263)(25, 230)(26, 266)(27, 229)(28, 270)(29, 272)(30, 231)(31, 275)(32, 273)(33, 278)(34, 233)(35, 281)(36, 283)(37, 235)(38, 271)(39, 285)(40, 287)(41, 237)(42, 291)(43, 238)(44, 294)(45, 292)(46, 297)(47, 240)(48, 300)(49, 302)(50, 242)(51, 290)(52, 304)(53, 306)(54, 244)(55, 254)(56, 245)(57, 248)(58, 311)(59, 247)(60, 308)(61, 299)(62, 249)(63, 303)(64, 296)(65, 251)(66, 314)(67, 252)(68, 298)(69, 255)(70, 309)(71, 256)(72, 313)(73, 295)(74, 267)(75, 258)(76, 261)(77, 317)(78, 260)(79, 289)(80, 280)(81, 262)(82, 284)(83, 277)(84, 264)(85, 320)(86, 265)(87, 279)(88, 268)(89, 315)(90, 269)(91, 319)(92, 276)(93, 286)(94, 321)(95, 274)(96, 322)(97, 288)(98, 282)(99, 305)(100, 323)(101, 293)(102, 324)(103, 307)(104, 301)(105, 310)(106, 312)(107, 316)(108, 318)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2257
Graph:: simple bipartite
	v = 108 e = 216 f = 54
	degree seq :: [ 4^108 ]

E28.2233 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y1 * Y3^-1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1, Y3^6, Y2 * Y3^2 * Y2 * Y3^-1 * Y2 * Y3^-1, Y3^-1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110)(3, 111, 11, 119)(4, 112, 10, 118)(5, 113, 17, 125)(6, 114, 8, 116)(7, 115, 23, 131)(9, 117, 29, 137)(12, 120, 37, 145)(13, 121, 26, 134)(14, 122, 25, 133)(15, 123, 34, 142)(16, 124, 31, 139)(18, 126, 51, 159)(19, 127, 28, 136)(20, 128, 58, 166)(21, 129, 61, 169)(22, 130, 27, 135)(24, 132, 56, 164)(30, 138, 41, 149)(32, 140, 54, 162)(33, 141, 38, 146)(35, 143, 62, 170)(36, 144, 76, 184)(39, 147, 83, 191)(40, 148, 69, 177)(42, 150, 68, 176)(43, 151, 71, 179)(44, 152, 70, 178)(45, 153, 81, 189)(46, 154, 73, 181)(47, 155, 82, 190)(48, 156, 80, 188)(49, 157, 66, 174)(50, 158, 59, 167)(52, 160, 79, 187)(53, 161, 84, 192)(55, 163, 77, 185)(57, 165, 75, 183)(60, 168, 72, 180)(63, 171, 74, 182)(64, 172, 67, 175)(65, 173, 78, 186)(85, 193, 100, 208)(86, 194, 99, 207)(87, 195, 98, 206)(88, 196, 97, 205)(89, 197, 96, 204)(90, 198, 95, 203)(91, 199, 101, 209)(92, 200, 104, 212)(93, 201, 103, 211)(94, 202, 102, 210)(105, 213, 108, 216)(106, 214, 107, 215)(217, 325, 219, 327, 221, 329)(218, 326, 223, 331, 225, 333)(220, 328, 230, 338, 232, 340)(222, 330, 236, 344, 237, 345)(224, 332, 242, 350, 244, 352)(226, 334, 248, 356, 249, 357)(227, 335, 251, 359, 252, 360)(228, 336, 254, 362, 256, 364)(229, 337, 257, 365, 258, 366)(231, 339, 261, 369, 263, 371)(233, 341, 265, 373, 266, 374)(234, 342, 268, 376, 270, 378)(235, 343, 271, 379, 272, 380)(238, 346, 280, 388, 281, 389)(239, 347, 278, 386, 282, 390)(240, 348, 277, 385, 284, 392)(241, 349, 267, 375, 285, 393)(243, 351, 288, 396, 290, 398)(245, 353, 292, 400, 275, 383)(246, 354, 293, 401, 274, 382)(247, 355, 295, 403, 253, 361)(250, 358, 299, 407, 300, 408)(255, 363, 264, 372, 302, 410)(259, 367, 279, 387, 305, 413)(260, 368, 269, 377, 303, 411)(262, 370, 301, 409, 308, 416)(273, 381, 304, 412, 276, 384)(283, 391, 291, 399, 312, 420)(286, 394, 298, 406, 315, 423)(287, 395, 294, 402, 313, 421)(289, 397, 311, 419, 318, 426)(296, 404, 314, 422, 297, 405)(306, 414, 309, 417, 321, 429)(307, 415, 310, 418, 322, 430)(316, 424, 319, 427, 323, 431)(317, 425, 320, 428, 324, 432)
	L = (1, 220)(2, 224)(3, 228)(4, 231)(5, 234)(6, 217)(7, 240)(8, 243)(9, 246)(10, 218)(11, 242)(12, 255)(13, 219)(14, 260)(15, 262)(16, 264)(17, 244)(18, 269)(19, 221)(20, 275)(21, 278)(22, 222)(23, 230)(24, 283)(25, 223)(26, 287)(27, 289)(28, 291)(29, 232)(30, 294)(31, 225)(32, 266)(33, 251)(34, 226)(35, 277)(36, 293)(37, 227)(38, 263)(39, 301)(40, 303)(41, 245)(42, 282)(43, 229)(44, 306)(45, 307)(46, 238)(47, 309)(48, 310)(49, 284)(50, 274)(51, 233)(52, 302)(53, 308)(54, 261)(55, 292)(56, 239)(57, 235)(58, 288)(59, 270)(60, 236)(61, 290)(62, 254)(63, 237)(64, 272)(65, 257)(66, 268)(67, 311)(68, 313)(69, 252)(70, 241)(71, 316)(72, 317)(73, 250)(74, 319)(75, 320)(76, 256)(77, 312)(78, 318)(79, 265)(80, 247)(81, 248)(82, 249)(83, 253)(84, 267)(85, 259)(86, 321)(87, 322)(88, 258)(89, 271)(90, 280)(91, 276)(92, 273)(93, 279)(94, 281)(95, 286)(96, 323)(97, 324)(98, 285)(99, 295)(100, 299)(101, 297)(102, 296)(103, 298)(104, 300)(105, 304)(106, 305)(107, 314)(108, 315)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2250
Graph:: simple bipartite
	v = 90 e = 216 f = 72
	degree seq :: [ 4^54, 6^36 ]

E28.2234 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y1 * Y3^-1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2^-1 * Y1 * Y3 * Y2^-1 * Y3^-1, Y3^6, Y3 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y2, Y2 * Y3 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1, Y2 * Y3^-1 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1, Y3^-1 * Y2 * Y3^3 * Y2 * Y3^-2 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110)(3, 111, 11, 119)(4, 112, 10, 118)(5, 113, 17, 125)(6, 114, 8, 116)(7, 115, 23, 131)(9, 117, 29, 137)(12, 120, 37, 145)(13, 121, 28, 136)(14, 122, 31, 139)(15, 123, 34, 142)(16, 124, 25, 133)(18, 126, 51, 159)(19, 127, 26, 134)(20, 128, 58, 166)(21, 129, 61, 169)(22, 130, 27, 135)(24, 132, 55, 163)(30, 138, 42, 150)(32, 140, 40, 148)(33, 141, 52, 160)(35, 143, 59, 167)(36, 144, 76, 184)(38, 146, 69, 177)(39, 147, 83, 191)(41, 149, 67, 175)(43, 151, 75, 183)(44, 152, 80, 188)(45, 153, 82, 190)(46, 154, 73, 181)(47, 155, 81, 189)(48, 156, 70, 178)(49, 157, 66, 174)(50, 158, 62, 170)(53, 161, 84, 192)(54, 162, 79, 187)(56, 164, 78, 186)(57, 165, 71, 179)(60, 168, 74, 182)(63, 171, 72, 180)(64, 172, 68, 176)(65, 173, 77, 185)(85, 193, 98, 206)(86, 194, 104, 212)(87, 195, 99, 207)(88, 196, 95, 203)(89, 197, 97, 205)(90, 198, 102, 210)(91, 199, 101, 209)(92, 200, 100, 208)(93, 201, 103, 211)(94, 202, 96, 204)(105, 213, 108, 216)(106, 214, 107, 215)(217, 325, 219, 327, 221, 329)(218, 326, 223, 331, 225, 333)(220, 328, 230, 338, 232, 340)(222, 330, 236, 344, 237, 345)(224, 332, 242, 350, 244, 352)(226, 334, 248, 356, 249, 357)(227, 335, 251, 359, 252, 360)(228, 336, 254, 362, 256, 364)(229, 337, 257, 365, 258, 366)(231, 339, 261, 369, 263, 371)(233, 341, 265, 373, 266, 374)(234, 342, 268, 376, 270, 378)(235, 343, 271, 379, 272, 380)(238, 346, 280, 388, 281, 389)(239, 347, 275, 383, 282, 390)(240, 348, 283, 391, 274, 382)(241, 349, 285, 393, 267, 375)(243, 351, 288, 396, 290, 398)(245, 353, 292, 400, 278, 386)(246, 354, 277, 385, 294, 402)(247, 355, 253, 361, 295, 403)(250, 358, 299, 407, 300, 408)(255, 363, 260, 368, 303, 411)(259, 367, 276, 384, 305, 413)(262, 370, 308, 416, 302, 410)(264, 372, 269, 377, 301, 409)(273, 381, 304, 412, 279, 387)(284, 392, 287, 395, 313, 421)(286, 394, 297, 405, 315, 423)(289, 397, 318, 426, 312, 420)(291, 399, 293, 401, 311, 419)(296, 404, 314, 422, 298, 406)(306, 414, 307, 415, 321, 429)(309, 417, 310, 418, 322, 430)(316, 424, 317, 425, 323, 431)(319, 427, 320, 428, 324, 432)
	L = (1, 220)(2, 224)(3, 228)(4, 231)(5, 234)(6, 217)(7, 240)(8, 243)(9, 246)(10, 218)(11, 244)(12, 255)(13, 219)(14, 260)(15, 262)(16, 264)(17, 242)(18, 269)(19, 221)(20, 275)(21, 278)(22, 222)(23, 232)(24, 284)(25, 223)(26, 287)(27, 289)(28, 291)(29, 230)(30, 293)(31, 225)(32, 251)(33, 266)(34, 226)(35, 274)(36, 294)(37, 227)(38, 301)(39, 302)(40, 263)(41, 282)(42, 245)(43, 229)(44, 306)(45, 307)(46, 238)(47, 309)(48, 310)(49, 283)(50, 277)(51, 233)(52, 261)(53, 308)(54, 303)(55, 239)(56, 292)(57, 235)(58, 290)(59, 256)(60, 236)(61, 288)(62, 268)(63, 237)(64, 271)(65, 258)(66, 270)(67, 311)(68, 312)(69, 252)(70, 241)(71, 316)(72, 317)(73, 250)(74, 319)(75, 320)(76, 254)(77, 318)(78, 313)(79, 265)(80, 247)(81, 248)(82, 249)(83, 253)(84, 267)(85, 321)(86, 259)(87, 322)(88, 257)(89, 272)(90, 281)(91, 279)(92, 273)(93, 276)(94, 280)(95, 323)(96, 286)(97, 324)(98, 285)(99, 295)(100, 300)(101, 298)(102, 296)(103, 297)(104, 299)(105, 305)(106, 304)(107, 315)(108, 314)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2256
Graph:: simple bipartite
	v = 90 e = 216 f = 72
	degree seq :: [ 4^54, 6^36 ]

E28.2235 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3 * Y1)^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1, (R * Y2 * Y3^-1)^2, Y3^6, Y3 * Y1 * Y2 * Y3 * Y2^-1 * Y1 * Y2, Y3^-1 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y1, Y2 * Y3^2 * Y2 * Y3^-1 * Y2^-1 * Y3^-1, Y3^-2 * Y2 * Y3 * Y2^-1 * Y3 * Y2, Y2 * Y1 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110)(3, 111, 11, 119)(4, 112, 10, 118)(5, 113, 17, 125)(6, 114, 8, 116)(7, 115, 23, 131)(9, 117, 29, 137)(12, 120, 37, 145)(13, 121, 26, 134)(14, 122, 25, 133)(15, 123, 34, 142)(16, 124, 31, 139)(18, 126, 51, 159)(19, 127, 28, 136)(20, 128, 58, 166)(21, 129, 61, 169)(22, 130, 27, 135)(24, 132, 42, 150)(30, 138, 55, 163)(32, 140, 52, 160)(33, 141, 40, 148)(35, 143, 66, 174)(36, 144, 59, 167)(38, 146, 79, 187)(39, 147, 84, 192)(41, 149, 78, 186)(43, 151, 71, 179)(44, 152, 70, 178)(45, 153, 81, 189)(46, 154, 73, 181)(47, 155, 82, 190)(48, 156, 80, 188)(49, 157, 62, 170)(50, 158, 76, 184)(53, 161, 83, 191)(54, 162, 69, 177)(56, 164, 67, 175)(57, 165, 75, 183)(60, 168, 72, 180)(63, 171, 74, 182)(64, 172, 77, 185)(65, 173, 68, 176)(85, 193, 99, 207)(86, 194, 100, 208)(87, 195, 98, 206)(88, 196, 97, 205)(89, 197, 95, 203)(90, 198, 96, 204)(91, 199, 103, 211)(92, 200, 104, 212)(93, 201, 101, 209)(94, 202, 102, 210)(105, 213, 107, 215)(106, 214, 108, 216)(217, 325, 219, 327, 221, 329)(218, 326, 223, 331, 225, 333)(220, 328, 230, 338, 232, 340)(222, 330, 236, 344, 237, 345)(224, 332, 242, 350, 244, 352)(226, 334, 248, 356, 249, 357)(227, 335, 251, 359, 252, 360)(228, 336, 254, 362, 256, 364)(229, 337, 257, 365, 258, 366)(231, 339, 261, 369, 263, 371)(233, 341, 265, 373, 266, 374)(234, 342, 268, 376, 270, 378)(235, 343, 271, 379, 272, 380)(238, 346, 280, 388, 281, 389)(239, 347, 282, 390, 278, 386)(240, 348, 283, 391, 277, 385)(241, 349, 285, 393, 253, 361)(243, 351, 288, 396, 290, 398)(245, 353, 275, 383, 292, 400)(246, 354, 274, 382, 294, 402)(247, 355, 267, 375, 295, 403)(250, 358, 299, 407, 300, 408)(255, 363, 260, 368, 303, 411)(259, 367, 276, 384, 305, 413)(262, 370, 308, 416, 302, 410)(264, 372, 269, 377, 301, 409)(273, 381, 304, 412, 279, 387)(284, 392, 287, 395, 313, 421)(286, 394, 297, 405, 315, 423)(289, 397, 318, 426, 312, 420)(291, 399, 293, 401, 311, 419)(296, 404, 314, 422, 298, 406)(306, 414, 307, 415, 321, 429)(309, 417, 310, 418, 322, 430)(316, 424, 317, 425, 323, 431)(319, 427, 320, 428, 324, 432)
	L = (1, 220)(2, 224)(3, 228)(4, 231)(5, 234)(6, 217)(7, 240)(8, 243)(9, 246)(10, 218)(11, 242)(12, 255)(13, 219)(14, 260)(15, 262)(16, 264)(17, 244)(18, 269)(19, 221)(20, 275)(21, 278)(22, 222)(23, 230)(24, 284)(25, 223)(26, 287)(27, 289)(28, 291)(29, 232)(30, 293)(31, 225)(32, 265)(33, 252)(34, 226)(35, 283)(36, 274)(37, 227)(38, 301)(39, 302)(40, 263)(41, 292)(42, 239)(43, 229)(44, 306)(45, 307)(46, 238)(47, 309)(48, 310)(49, 277)(50, 294)(51, 233)(52, 261)(53, 308)(54, 303)(55, 245)(56, 282)(57, 235)(58, 288)(59, 256)(60, 236)(61, 290)(62, 268)(63, 237)(64, 271)(65, 258)(66, 254)(67, 311)(68, 312)(69, 266)(70, 241)(71, 316)(72, 317)(73, 250)(74, 319)(75, 320)(76, 270)(77, 318)(78, 313)(79, 251)(80, 247)(81, 248)(82, 249)(83, 267)(84, 253)(85, 321)(86, 259)(87, 322)(88, 257)(89, 272)(90, 281)(91, 279)(92, 273)(93, 276)(94, 280)(95, 323)(96, 286)(97, 324)(98, 285)(99, 295)(100, 300)(101, 298)(102, 296)(103, 297)(104, 299)(105, 305)(106, 304)(107, 315)(108, 314)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2253
Graph:: simple bipartite
	v = 90 e = 216 f = 72
	degree seq :: [ 4^54, 6^36 ]

E28.2236 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^3, Y2^-1 * Y3 * Y2 * Y3, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y1 * Y2 * Y1 * Y2^-1)^3, (Y1 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 109, 2, 110)(3, 111, 9, 117)(4, 112, 7, 115)(5, 113, 12, 120)(6, 114, 13, 121)(8, 116, 16, 124)(10, 118, 18, 126)(11, 119, 20, 128)(14, 122, 24, 132)(15, 123, 26, 134)(17, 125, 29, 137)(19, 127, 32, 140)(21, 129, 35, 143)(22, 130, 36, 144)(23, 131, 37, 145)(25, 133, 40, 148)(27, 135, 43, 151)(28, 136, 44, 152)(30, 138, 46, 154)(31, 139, 48, 156)(33, 141, 51, 159)(34, 142, 52, 160)(38, 146, 58, 166)(39, 147, 60, 168)(41, 149, 63, 171)(42, 150, 64, 172)(45, 153, 68, 176)(47, 155, 71, 179)(49, 157, 61, 169)(50, 158, 74, 182)(53, 161, 79, 187)(54, 162, 66, 174)(55, 163, 80, 188)(56, 164, 57, 165)(59, 167, 83, 191)(62, 170, 86, 194)(65, 173, 91, 199)(67, 175, 92, 200)(69, 177, 90, 198)(70, 178, 93, 201)(72, 180, 84, 192)(73, 181, 95, 203)(75, 183, 97, 205)(76, 184, 88, 196)(77, 185, 98, 206)(78, 186, 81, 189)(82, 190, 99, 207)(85, 193, 101, 209)(87, 195, 103, 211)(89, 197, 104, 212)(94, 202, 102, 210)(96, 204, 100, 208)(105, 213, 108, 216)(106, 214, 107, 215)(217, 325, 219, 327, 221, 329)(218, 326, 222, 330, 224, 332)(220, 328, 226, 334, 227, 335)(223, 331, 230, 338, 231, 339)(225, 333, 233, 341, 235, 343)(228, 336, 237, 345, 238, 346)(229, 337, 239, 347, 241, 349)(232, 340, 243, 351, 244, 352)(234, 342, 246, 354, 247, 355)(236, 344, 249, 357, 250, 358)(240, 348, 254, 362, 255, 363)(242, 350, 257, 365, 258, 366)(245, 353, 261, 369, 263, 371)(248, 356, 265, 373, 266, 374)(251, 359, 269, 377, 270, 378)(252, 360, 271, 379, 272, 380)(253, 361, 273, 381, 275, 383)(256, 364, 277, 385, 278, 386)(259, 367, 281, 389, 282, 390)(260, 368, 283, 391, 284, 392)(262, 370, 285, 393, 286, 394)(264, 372, 288, 396, 289, 397)(267, 375, 291, 399, 292, 400)(268, 376, 293, 401, 294, 402)(274, 382, 297, 405, 298, 406)(276, 384, 300, 408, 301, 409)(279, 387, 303, 411, 304, 412)(280, 388, 305, 413, 306, 414)(287, 395, 296, 404, 310, 418)(290, 398, 312, 420, 295, 403)(299, 407, 308, 416, 316, 424)(302, 410, 318, 426, 307, 415)(309, 417, 314, 422, 321, 429)(311, 419, 322, 430, 313, 421)(315, 423, 320, 428, 323, 431)(317, 425, 324, 432, 319, 427)
	L = (1, 220)(2, 223)(3, 226)(4, 217)(5, 227)(6, 230)(7, 218)(8, 231)(9, 234)(10, 219)(11, 221)(12, 236)(13, 240)(14, 222)(15, 224)(16, 242)(17, 246)(18, 225)(19, 247)(20, 228)(21, 249)(22, 250)(23, 254)(24, 229)(25, 255)(26, 232)(27, 257)(28, 258)(29, 262)(30, 233)(31, 235)(32, 264)(33, 237)(34, 238)(35, 267)(36, 268)(37, 274)(38, 239)(39, 241)(40, 276)(41, 243)(42, 244)(43, 279)(44, 280)(45, 285)(46, 245)(47, 286)(48, 248)(49, 288)(50, 289)(51, 251)(52, 252)(53, 291)(54, 292)(55, 293)(56, 294)(57, 297)(58, 253)(59, 298)(60, 256)(61, 300)(62, 301)(63, 259)(64, 260)(65, 303)(66, 304)(67, 305)(68, 306)(69, 261)(70, 263)(71, 309)(72, 265)(73, 266)(74, 311)(75, 269)(76, 270)(77, 271)(78, 272)(79, 313)(80, 314)(81, 273)(82, 275)(83, 315)(84, 277)(85, 278)(86, 317)(87, 281)(88, 282)(89, 283)(90, 284)(91, 319)(92, 320)(93, 287)(94, 321)(95, 290)(96, 322)(97, 295)(98, 296)(99, 299)(100, 323)(101, 302)(102, 324)(103, 307)(104, 308)(105, 310)(106, 312)(107, 316)(108, 318)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2246
Graph:: simple bipartite
	v = 90 e = 216 f = 72
	degree seq :: [ 4^54, 6^36 ]

E28.2237 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^3, (R * Y1)^2, (Y3 * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3)^2, (Y3 * Y2 * Y3 * Y2^-1)^3, (Y2^-1 * Y3)^6 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110)(3, 111, 6, 114)(4, 112, 7, 115)(5, 113, 8, 116)(9, 117, 13, 121)(10, 118, 14, 122)(11, 119, 15, 123)(12, 120, 16, 124)(17, 125, 23, 131)(18, 126, 24, 132)(19, 127, 25, 133)(20, 128, 26, 134)(21, 129, 27, 135)(22, 130, 28, 136)(29, 137, 37, 145)(30, 138, 38, 146)(31, 139, 39, 147)(32, 140, 40, 148)(33, 141, 41, 149)(34, 142, 42, 150)(35, 143, 43, 151)(36, 144, 44, 152)(45, 153, 57, 165)(46, 154, 58, 166)(47, 155, 59, 167)(48, 156, 60, 168)(49, 157, 61, 169)(50, 158, 62, 170)(51, 159, 63, 171)(52, 160, 64, 172)(53, 161, 65, 173)(54, 162, 66, 174)(55, 163, 67, 175)(56, 164, 68, 176)(69, 177, 81, 189)(70, 178, 82, 190)(71, 179, 83, 191)(72, 180, 84, 192)(73, 181, 85, 193)(74, 182, 86, 194)(75, 183, 87, 195)(76, 184, 88, 196)(77, 185, 89, 197)(78, 186, 90, 198)(79, 187, 91, 199)(80, 188, 92, 200)(93, 201, 99, 207)(94, 202, 100, 208)(95, 203, 101, 209)(96, 204, 102, 210)(97, 205, 103, 211)(98, 206, 104, 212)(105, 213, 107, 215)(106, 214, 108, 216)(217, 325, 219, 327, 221, 329)(218, 326, 222, 330, 224, 332)(220, 328, 226, 334, 227, 335)(223, 331, 230, 338, 231, 339)(225, 333, 233, 341, 234, 342)(228, 336, 237, 345, 238, 346)(229, 337, 239, 347, 240, 348)(232, 340, 243, 351, 244, 352)(235, 343, 247, 355, 248, 356)(236, 344, 249, 357, 250, 358)(241, 349, 255, 363, 256, 364)(242, 350, 257, 365, 258, 366)(245, 353, 261, 369, 262, 370)(246, 354, 263, 371, 264, 372)(251, 359, 269, 377, 270, 378)(252, 360, 271, 379, 272, 380)(253, 361, 273, 381, 274, 382)(254, 362, 275, 383, 276, 384)(259, 367, 281, 389, 282, 390)(260, 368, 283, 391, 284, 392)(265, 373, 289, 397, 290, 398)(266, 374, 287, 395, 291, 399)(267, 375, 292, 400, 293, 401)(268, 376, 294, 402, 285, 393)(277, 385, 301, 409, 302, 410)(278, 386, 299, 407, 303, 411)(279, 387, 304, 412, 305, 413)(280, 388, 306, 414, 297, 405)(286, 394, 296, 404, 309, 417)(288, 396, 310, 418, 295, 403)(298, 406, 308, 416, 315, 423)(300, 408, 316, 424, 307, 415)(311, 419, 314, 422, 322, 430)(312, 420, 321, 429, 313, 421)(317, 425, 320, 428, 324, 432)(318, 426, 323, 431, 319, 427)
	L = (1, 220)(2, 223)(3, 225)(4, 217)(5, 228)(6, 229)(7, 218)(8, 232)(9, 219)(10, 235)(11, 236)(12, 221)(13, 222)(14, 241)(15, 242)(16, 224)(17, 245)(18, 246)(19, 226)(20, 227)(21, 251)(22, 252)(23, 253)(24, 254)(25, 230)(26, 231)(27, 259)(28, 260)(29, 233)(30, 234)(31, 265)(32, 266)(33, 267)(34, 268)(35, 237)(36, 238)(37, 239)(38, 240)(39, 277)(40, 278)(41, 279)(42, 280)(43, 243)(44, 244)(45, 285)(46, 286)(47, 287)(48, 288)(49, 247)(50, 248)(51, 249)(52, 250)(53, 295)(54, 293)(55, 296)(56, 289)(57, 297)(58, 298)(59, 299)(60, 300)(61, 255)(62, 256)(63, 257)(64, 258)(65, 307)(66, 305)(67, 308)(68, 301)(69, 261)(70, 262)(71, 263)(72, 264)(73, 272)(74, 311)(75, 312)(76, 313)(77, 270)(78, 314)(79, 269)(80, 271)(81, 273)(82, 274)(83, 275)(84, 276)(85, 284)(86, 317)(87, 318)(88, 319)(89, 282)(90, 320)(91, 281)(92, 283)(93, 321)(94, 322)(95, 290)(96, 291)(97, 292)(98, 294)(99, 323)(100, 324)(101, 302)(102, 303)(103, 304)(104, 306)(105, 309)(106, 310)(107, 315)(108, 316)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2248
Graph:: simple bipartite
	v = 90 e = 216 f = 72
	degree seq :: [ 4^54, 6^36 ]

E28.2238 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^3, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, Y1 * Y2 * Y3 * Y1 * Y2^-1 * Y3, Y1 * Y2 * Y3 * Y2^-1 * Y1 * Y2 * Y3 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1, (Y3 * Y2^-1)^6, (Y2^-1 * Y1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110)(3, 111, 9, 117)(4, 112, 7, 115)(5, 113, 13, 121)(6, 114, 15, 123)(8, 116, 19, 127)(10, 118, 17, 125)(11, 119, 16, 124)(12, 120, 20, 128)(14, 122, 18, 126)(21, 129, 37, 145)(22, 130, 39, 147)(23, 131, 38, 146)(24, 132, 40, 148)(25, 133, 41, 149)(26, 134, 43, 151)(27, 135, 42, 150)(28, 136, 44, 152)(29, 137, 45, 153)(30, 138, 47, 155)(31, 139, 46, 154)(32, 140, 48, 156)(33, 141, 49, 157)(34, 142, 51, 159)(35, 143, 50, 158)(36, 144, 52, 160)(53, 161, 82, 190)(54, 162, 85, 193)(55, 163, 84, 192)(56, 164, 86, 194)(57, 165, 73, 181)(58, 166, 87, 195)(59, 167, 75, 183)(60, 168, 88, 196)(61, 169, 89, 197)(62, 170, 78, 186)(63, 171, 90, 198)(64, 172, 80, 188)(65, 173, 91, 199)(66, 174, 69, 177)(67, 175, 92, 200)(68, 176, 71, 179)(70, 178, 93, 201)(72, 180, 94, 202)(74, 182, 95, 203)(76, 184, 96, 204)(77, 185, 97, 205)(79, 187, 98, 206)(81, 189, 99, 207)(83, 191, 100, 208)(101, 209, 107, 215)(102, 210, 108, 216)(103, 211, 105, 213)(104, 212, 106, 214)(217, 325, 219, 327, 221, 329)(218, 326, 222, 330, 224, 332)(220, 328, 227, 335, 228, 336)(223, 331, 233, 341, 234, 342)(225, 333, 237, 345, 238, 346)(226, 334, 239, 347, 240, 348)(229, 337, 241, 349, 242, 350)(230, 338, 243, 351, 244, 352)(231, 339, 245, 353, 246, 354)(232, 340, 247, 355, 248, 356)(235, 343, 249, 357, 250, 358)(236, 344, 251, 359, 252, 360)(253, 361, 269, 377, 270, 378)(254, 362, 271, 379, 272, 380)(255, 363, 273, 381, 274, 382)(256, 364, 275, 383, 276, 384)(257, 365, 277, 385, 278, 386)(258, 366, 279, 387, 280, 388)(259, 367, 281, 389, 282, 390)(260, 368, 283, 391, 284, 392)(261, 369, 285, 393, 286, 394)(262, 370, 287, 395, 288, 396)(263, 371, 289, 397, 290, 398)(264, 372, 291, 399, 292, 400)(265, 373, 293, 401, 294, 402)(266, 374, 295, 403, 296, 404)(267, 375, 297, 405, 298, 406)(268, 376, 299, 407, 300, 408)(301, 409, 307, 415, 317, 425)(302, 410, 308, 416, 318, 426)(303, 411, 319, 427, 305, 413)(304, 412, 320, 428, 306, 414)(309, 417, 315, 423, 321, 429)(310, 418, 316, 424, 322, 430)(311, 419, 323, 431, 313, 421)(312, 420, 324, 432, 314, 422)
	L = (1, 220)(2, 223)(3, 226)(4, 217)(5, 230)(6, 232)(7, 218)(8, 236)(9, 233)(10, 219)(11, 231)(12, 235)(13, 234)(14, 221)(15, 227)(16, 222)(17, 225)(18, 229)(19, 228)(20, 224)(21, 254)(22, 256)(23, 253)(24, 255)(25, 258)(26, 260)(27, 257)(28, 259)(29, 262)(30, 264)(31, 261)(32, 263)(33, 266)(34, 268)(35, 265)(36, 267)(37, 239)(38, 237)(39, 240)(40, 238)(41, 243)(42, 241)(43, 244)(44, 242)(45, 247)(46, 245)(47, 248)(48, 246)(49, 251)(50, 249)(51, 252)(52, 250)(53, 300)(54, 302)(55, 298)(56, 301)(57, 291)(58, 304)(59, 289)(60, 303)(61, 306)(62, 296)(63, 305)(64, 294)(65, 308)(66, 287)(67, 307)(68, 285)(69, 284)(70, 310)(71, 282)(72, 309)(73, 275)(74, 312)(75, 273)(76, 311)(77, 314)(78, 280)(79, 313)(80, 278)(81, 316)(82, 271)(83, 315)(84, 269)(85, 272)(86, 270)(87, 276)(88, 274)(89, 279)(90, 277)(91, 283)(92, 281)(93, 288)(94, 286)(95, 292)(96, 290)(97, 295)(98, 293)(99, 299)(100, 297)(101, 324)(102, 323)(103, 322)(104, 321)(105, 320)(106, 319)(107, 318)(108, 317)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2245
Graph:: simple bipartite
	v = 90 e = 216 f = 72
	degree seq :: [ 4^54, 6^36 ]

E28.2239 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^3, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2 * Y1)^2, (R * Y2 * Y3)^2, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y1 * Y2^-1, (Y3 * Y2^-1)^6, (Y2 * Y1 * Y2^-1 * Y1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110)(3, 111, 9, 117)(4, 112, 7, 115)(5, 113, 13, 121)(6, 114, 15, 123)(8, 116, 19, 127)(10, 118, 18, 126)(11, 119, 20, 128)(12, 120, 16, 124)(14, 122, 17, 125)(21, 129, 37, 145)(22, 130, 39, 147)(23, 131, 40, 148)(24, 132, 38, 146)(25, 133, 41, 149)(26, 134, 43, 151)(27, 135, 44, 152)(28, 136, 42, 150)(29, 137, 45, 153)(30, 138, 47, 155)(31, 139, 48, 156)(32, 140, 46, 154)(33, 141, 49, 157)(34, 142, 51, 159)(35, 143, 52, 160)(36, 144, 50, 158)(53, 161, 82, 190)(54, 162, 85, 193)(55, 163, 86, 194)(56, 164, 83, 191)(57, 165, 73, 181)(58, 166, 87, 195)(59, 167, 88, 196)(60, 168, 76, 184)(61, 169, 89, 197)(62, 170, 78, 186)(63, 171, 79, 187)(64, 172, 90, 198)(65, 173, 91, 199)(66, 174, 69, 177)(67, 175, 72, 180)(68, 176, 92, 200)(70, 178, 93, 201)(71, 179, 94, 202)(74, 182, 95, 203)(75, 183, 96, 204)(77, 185, 97, 205)(80, 188, 98, 206)(81, 189, 99, 207)(84, 192, 100, 208)(101, 209, 107, 215)(102, 210, 108, 216)(103, 211, 105, 213)(104, 212, 106, 214)(217, 325, 219, 327, 221, 329)(218, 326, 222, 330, 224, 332)(220, 328, 227, 335, 228, 336)(223, 331, 233, 341, 234, 342)(225, 333, 237, 345, 238, 346)(226, 334, 239, 347, 240, 348)(229, 337, 241, 349, 242, 350)(230, 338, 243, 351, 244, 352)(231, 339, 245, 353, 246, 354)(232, 340, 247, 355, 248, 356)(235, 343, 249, 357, 250, 358)(236, 344, 251, 359, 252, 360)(253, 361, 269, 377, 270, 378)(254, 362, 271, 379, 272, 380)(255, 363, 273, 381, 274, 382)(256, 364, 275, 383, 276, 384)(257, 365, 277, 385, 278, 386)(258, 366, 279, 387, 280, 388)(259, 367, 281, 389, 282, 390)(260, 368, 283, 391, 284, 392)(261, 369, 285, 393, 286, 394)(262, 370, 287, 395, 288, 396)(263, 371, 289, 397, 290, 398)(264, 372, 291, 399, 292, 400)(265, 373, 293, 401, 294, 402)(266, 374, 295, 403, 296, 404)(267, 375, 297, 405, 298, 406)(268, 376, 299, 407, 300, 408)(301, 409, 307, 415, 317, 425)(302, 410, 318, 426, 308, 416)(303, 411, 319, 427, 305, 413)(304, 412, 306, 414, 320, 428)(309, 417, 315, 423, 321, 429)(310, 418, 322, 430, 316, 424)(311, 419, 323, 431, 313, 421)(312, 420, 314, 422, 324, 432)
	L = (1, 220)(2, 223)(3, 226)(4, 217)(5, 230)(6, 232)(7, 218)(8, 236)(9, 234)(10, 219)(11, 235)(12, 231)(13, 233)(14, 221)(15, 228)(16, 222)(17, 229)(18, 225)(19, 227)(20, 224)(21, 254)(22, 256)(23, 255)(24, 253)(25, 258)(26, 260)(27, 259)(28, 257)(29, 262)(30, 264)(31, 263)(32, 261)(33, 266)(34, 268)(35, 267)(36, 265)(37, 240)(38, 237)(39, 239)(40, 238)(41, 244)(42, 241)(43, 243)(44, 242)(45, 248)(46, 245)(47, 247)(48, 246)(49, 252)(50, 249)(51, 251)(52, 250)(53, 299)(54, 302)(55, 301)(56, 298)(57, 292)(58, 304)(59, 303)(60, 289)(61, 306)(62, 295)(63, 294)(64, 305)(65, 308)(66, 288)(67, 285)(68, 307)(69, 283)(70, 310)(71, 309)(72, 282)(73, 276)(74, 312)(75, 311)(76, 273)(77, 314)(78, 279)(79, 278)(80, 313)(81, 316)(82, 272)(83, 269)(84, 315)(85, 271)(86, 270)(87, 275)(88, 274)(89, 280)(90, 277)(91, 284)(92, 281)(93, 287)(94, 286)(95, 291)(96, 290)(97, 296)(98, 293)(99, 300)(100, 297)(101, 324)(102, 323)(103, 322)(104, 321)(105, 320)(106, 319)(107, 318)(108, 317)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2254
Graph:: simple bipartite
	v = 90 e = 216 f = 72
	degree seq :: [ 4^54, 6^36 ]

E28.2240 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^3, (R * Y1)^2, (Y3 * Y1)^2, (Y2 * Y1)^2, (R * Y3)^2, (R * Y2 * Y3)^2, (Y3 * Y2 * Y3 * Y2^-1)^3, (Y2^-1 * Y3)^6, Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y1, Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110)(3, 111, 8, 116)(4, 112, 7, 115)(5, 113, 6, 114)(9, 117, 16, 124)(10, 118, 15, 123)(11, 119, 14, 122)(12, 120, 13, 121)(17, 125, 28, 136)(18, 126, 27, 135)(19, 127, 26, 134)(20, 128, 25, 133)(21, 129, 24, 132)(22, 130, 23, 131)(29, 137, 44, 152)(30, 138, 43, 151)(31, 139, 42, 150)(32, 140, 41, 149)(33, 141, 40, 148)(34, 142, 39, 147)(35, 143, 38, 146)(36, 144, 37, 145)(45, 153, 68, 176)(46, 154, 67, 175)(47, 155, 66, 174)(48, 156, 65, 173)(49, 157, 64, 172)(50, 158, 63, 171)(51, 159, 62, 170)(52, 160, 61, 169)(53, 161, 60, 168)(54, 162, 59, 167)(55, 163, 58, 166)(56, 164, 57, 165)(69, 177, 85, 193)(70, 178, 92, 200)(71, 179, 89, 197)(72, 180, 91, 199)(73, 181, 81, 189)(74, 182, 90, 198)(75, 183, 88, 196)(76, 184, 87, 195)(77, 185, 83, 191)(78, 186, 86, 194)(79, 187, 84, 192)(80, 188, 82, 190)(93, 201, 99, 207)(94, 202, 100, 208)(95, 203, 104, 212)(96, 204, 103, 211)(97, 205, 102, 210)(98, 206, 101, 209)(105, 213, 107, 215)(106, 214, 108, 216)(217, 325, 219, 327, 221, 329)(218, 326, 222, 330, 224, 332)(220, 328, 226, 334, 227, 335)(223, 331, 230, 338, 231, 339)(225, 333, 233, 341, 234, 342)(228, 336, 237, 345, 238, 346)(229, 337, 239, 347, 240, 348)(232, 340, 243, 351, 244, 352)(235, 343, 247, 355, 248, 356)(236, 344, 249, 357, 250, 358)(241, 349, 255, 363, 256, 364)(242, 350, 257, 365, 258, 366)(245, 353, 261, 369, 262, 370)(246, 354, 263, 371, 264, 372)(251, 359, 269, 377, 270, 378)(252, 360, 271, 379, 272, 380)(253, 361, 273, 381, 274, 382)(254, 362, 275, 383, 276, 384)(259, 367, 281, 389, 282, 390)(260, 368, 283, 391, 284, 392)(265, 373, 289, 397, 290, 398)(266, 374, 287, 395, 291, 399)(267, 375, 292, 400, 293, 401)(268, 376, 294, 402, 285, 393)(277, 385, 301, 409, 302, 410)(278, 386, 299, 407, 303, 411)(279, 387, 304, 412, 305, 413)(280, 388, 306, 414, 297, 405)(286, 394, 296, 404, 309, 417)(288, 396, 310, 418, 295, 403)(298, 406, 308, 416, 315, 423)(300, 408, 316, 424, 307, 415)(311, 419, 314, 422, 322, 430)(312, 420, 321, 429, 313, 421)(317, 425, 320, 428, 324, 432)(318, 426, 323, 431, 319, 427)
	L = (1, 220)(2, 223)(3, 225)(4, 217)(5, 228)(6, 229)(7, 218)(8, 232)(9, 219)(10, 235)(11, 236)(12, 221)(13, 222)(14, 241)(15, 242)(16, 224)(17, 245)(18, 246)(19, 226)(20, 227)(21, 251)(22, 252)(23, 253)(24, 254)(25, 230)(26, 231)(27, 259)(28, 260)(29, 233)(30, 234)(31, 265)(32, 266)(33, 267)(34, 268)(35, 237)(36, 238)(37, 239)(38, 240)(39, 277)(40, 278)(41, 279)(42, 280)(43, 243)(44, 244)(45, 285)(46, 286)(47, 287)(48, 288)(49, 247)(50, 248)(51, 249)(52, 250)(53, 295)(54, 293)(55, 296)(56, 289)(57, 297)(58, 298)(59, 299)(60, 300)(61, 255)(62, 256)(63, 257)(64, 258)(65, 307)(66, 305)(67, 308)(68, 301)(69, 261)(70, 262)(71, 263)(72, 264)(73, 272)(74, 311)(75, 312)(76, 313)(77, 270)(78, 314)(79, 269)(80, 271)(81, 273)(82, 274)(83, 275)(84, 276)(85, 284)(86, 317)(87, 318)(88, 319)(89, 282)(90, 320)(91, 281)(92, 283)(93, 321)(94, 322)(95, 290)(96, 291)(97, 292)(98, 294)(99, 323)(100, 324)(101, 302)(102, 303)(103, 304)(104, 306)(105, 309)(106, 310)(107, 315)(108, 316)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2247
Graph:: simple bipartite
	v = 90 e = 216 f = 72
	degree seq :: [ 4^54, 6^36 ]

E28.2241 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y3^6, Y2 * Y3^-1 * Y1 * Y3 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y2 * Y1 * Y2 * Y3 * Y2, Y2 * Y3^2 * Y2 * Y3^-1 * Y2 * Y3^-1, (Y2 * R * Y2 * Y1)^2, Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3 * Y2^-1, (Y2^-1 * Y3^-1 * Y2 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110)(3, 111, 11, 119)(4, 112, 10, 118)(5, 113, 17, 125)(6, 114, 8, 116)(7, 115, 23, 131)(9, 117, 29, 137)(12, 120, 37, 145)(13, 121, 25, 133)(14, 122, 43, 151)(15, 123, 34, 142)(16, 124, 28, 136)(18, 126, 52, 160)(19, 127, 50, 158)(20, 128, 59, 167)(21, 129, 62, 170)(22, 130, 27, 135)(24, 132, 68, 176)(26, 134, 73, 181)(30, 138, 38, 146)(31, 139, 79, 187)(32, 140, 57, 165)(33, 141, 87, 195)(35, 143, 58, 166)(36, 144, 91, 199)(39, 147, 69, 177)(40, 148, 72, 180)(41, 149, 95, 203)(42, 150, 70, 178)(44, 152, 51, 159)(45, 153, 86, 194)(46, 154, 74, 182)(47, 155, 76, 184)(48, 156, 78, 186)(49, 157, 77, 185)(53, 161, 83, 191)(54, 162, 88, 196)(55, 163, 101, 209)(56, 164, 80, 188)(60, 168, 89, 197)(61, 169, 75, 183)(63, 171, 81, 189)(64, 172, 84, 192)(65, 173, 85, 193)(66, 174, 90, 198)(67, 175, 102, 210)(71, 179, 99, 207)(82, 190, 98, 206)(92, 200, 108, 216)(93, 201, 107, 215)(94, 202, 106, 214)(96, 204, 105, 213)(97, 205, 104, 212)(100, 208, 103, 211)(217, 325, 219, 327, 221, 329)(218, 326, 223, 331, 225, 333)(220, 328, 230, 338, 232, 340)(222, 330, 236, 344, 237, 345)(224, 332, 242, 350, 244, 352)(226, 334, 248, 356, 249, 357)(227, 335, 251, 359, 252, 360)(228, 336, 254, 362, 256, 364)(229, 337, 257, 365, 258, 366)(231, 339, 262, 370, 245, 353)(233, 341, 243, 351, 267, 375)(234, 342, 269, 377, 271, 379)(235, 343, 272, 380, 273, 381)(238, 346, 281, 389, 282, 390)(239, 347, 280, 388, 283, 391)(240, 348, 268, 376, 286, 394)(241, 349, 287, 395, 288, 396)(246, 354, 296, 404, 298, 406)(247, 355, 299, 407, 275, 383)(250, 358, 305, 413, 306, 414)(253, 361, 278, 386, 292, 400)(255, 363, 264, 372, 307, 415)(259, 367, 311, 419, 308, 416)(260, 368, 270, 378, 309, 417)(261, 369, 279, 387, 312, 420)(263, 371, 284, 392, 303, 411)(265, 373, 310, 418, 276, 384)(266, 374, 316, 424, 317, 425)(274, 382, 313, 421, 277, 385)(285, 393, 293, 401, 318, 426)(289, 397, 315, 423, 319, 427)(290, 398, 297, 405, 320, 428)(291, 399, 304, 412, 322, 430)(294, 402, 321, 429, 301, 409)(295, 403, 324, 432, 314, 422)(300, 408, 323, 431, 302, 410)
	L = (1, 220)(2, 224)(3, 228)(4, 231)(5, 234)(6, 217)(7, 240)(8, 243)(9, 246)(10, 218)(11, 241)(12, 255)(13, 219)(14, 260)(15, 263)(16, 264)(17, 266)(18, 270)(19, 221)(20, 276)(21, 279)(22, 222)(23, 229)(24, 285)(25, 223)(26, 290)(27, 292)(28, 293)(29, 295)(30, 297)(31, 225)(32, 301)(33, 304)(34, 226)(35, 249)(36, 299)(37, 227)(38, 245)(39, 284)(40, 309)(41, 265)(42, 312)(43, 302)(44, 314)(45, 230)(46, 289)(47, 238)(48, 315)(49, 232)(50, 251)(51, 259)(52, 233)(53, 307)(54, 303)(55, 262)(56, 310)(57, 261)(58, 235)(59, 291)(60, 271)(61, 236)(62, 300)(63, 254)(64, 237)(65, 273)(66, 257)(67, 272)(68, 239)(69, 253)(70, 320)(71, 294)(72, 322)(73, 277)(74, 317)(75, 242)(76, 250)(77, 311)(78, 244)(79, 280)(80, 318)(81, 278)(82, 267)(83, 321)(84, 247)(85, 298)(86, 248)(87, 274)(88, 268)(89, 275)(90, 287)(91, 324)(92, 252)(93, 319)(94, 256)(95, 306)(96, 269)(97, 258)(98, 281)(99, 282)(100, 323)(101, 305)(102, 316)(103, 283)(104, 308)(105, 286)(106, 296)(107, 288)(108, 313)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2249
Graph:: simple bipartite
	v = 90 e = 216 f = 72
	degree seq :: [ 4^54, 6^36 ]

E28.2242 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1 * Y2 * Y1 * Y2^-1, Y3^6, Y1 * Y2 * Y3 * Y1 * Y2 * Y3^-1 * Y2, Y3 * Y2 * Y3 * Y2 * Y3^-2 * Y2, Y3^-2 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y3^-1, Y3^-1 * Y2^-1 * Y3 * Y1 * Y2 * Y3^2 * Y1, Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3 * Y2^-1, (R * Y2^-1 * Y1 * Y2^-1)^2, (Y2 * Y3^-1 * Y2^-1 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110)(3, 111, 11, 119)(4, 112, 10, 118)(5, 113, 17, 125)(6, 114, 8, 116)(7, 115, 23, 131)(9, 117, 29, 137)(12, 120, 37, 145)(13, 121, 36, 144)(14, 122, 26, 134)(15, 123, 34, 142)(16, 124, 48, 156)(18, 126, 53, 161)(19, 127, 31, 139)(20, 128, 59, 167)(21, 129, 62, 170)(22, 130, 27, 135)(24, 132, 56, 164)(25, 133, 67, 175)(28, 136, 76, 184)(30, 138, 80, 188)(32, 140, 85, 193)(33, 141, 41, 149)(35, 143, 49, 157)(38, 146, 91, 199)(39, 147, 86, 194)(40, 148, 71, 179)(42, 150, 70, 178)(43, 151, 52, 160)(44, 152, 74, 182)(45, 153, 73, 181)(46, 154, 75, 183)(47, 155, 77, 185)(50, 158, 88, 196)(51, 159, 94, 202)(54, 162, 83, 191)(55, 163, 82, 190)(57, 165, 81, 189)(58, 166, 100, 208)(60, 168, 69, 177)(61, 169, 72, 180)(63, 171, 90, 198)(64, 172, 78, 186)(65, 173, 89, 197)(66, 174, 87, 195)(68, 176, 101, 209)(79, 187, 104, 212)(84, 192, 98, 206)(92, 200, 108, 216)(93, 201, 107, 215)(95, 203, 106, 214)(96, 204, 105, 213)(97, 205, 103, 211)(99, 207, 102, 210)(217, 325, 219, 327, 221, 329)(218, 326, 223, 331, 225, 333)(220, 328, 230, 338, 232, 340)(222, 330, 236, 344, 237, 345)(224, 332, 242, 350, 244, 352)(226, 334, 248, 356, 249, 357)(227, 335, 251, 359, 243, 351)(228, 336, 254, 362, 256, 364)(229, 337, 257, 365, 258, 366)(231, 339, 239, 347, 263, 371)(233, 341, 267, 375, 268, 376)(234, 342, 270, 378, 272, 380)(235, 343, 273, 381, 274, 382)(238, 346, 281, 389, 282, 390)(240, 348, 284, 392, 286, 394)(241, 349, 278, 386, 287, 395)(245, 353, 295, 403, 277, 385)(246, 354, 297, 405, 253, 361)(247, 355, 299, 407, 300, 408)(250, 358, 305, 413, 306, 414)(252, 360, 307, 415, 308, 416)(255, 363, 265, 373, 309, 417)(259, 367, 280, 388, 313, 421)(260, 368, 271, 379, 310, 418)(261, 369, 279, 387, 312, 420)(262, 370, 301, 409, 296, 404)(264, 372, 315, 423, 316, 424)(266, 374, 311, 419, 276, 384)(269, 377, 291, 399, 275, 383)(283, 391, 317, 425, 318, 426)(285, 393, 293, 401, 319, 427)(288, 396, 304, 412, 323, 431)(289, 397, 298, 406, 320, 428)(290, 398, 303, 411, 322, 430)(292, 400, 324, 432, 314, 422)(294, 402, 321, 429, 302, 410)
	L = (1, 220)(2, 224)(3, 228)(4, 231)(5, 234)(6, 217)(7, 240)(8, 243)(9, 246)(10, 218)(11, 252)(12, 255)(13, 219)(14, 260)(15, 262)(16, 265)(17, 247)(18, 271)(19, 221)(20, 276)(21, 279)(22, 222)(23, 283)(24, 285)(25, 223)(26, 289)(27, 291)(28, 293)(29, 235)(30, 298)(31, 225)(32, 302)(33, 303)(34, 226)(35, 264)(36, 268)(37, 227)(38, 263)(39, 301)(40, 310)(41, 266)(42, 312)(43, 229)(44, 314)(45, 230)(46, 238)(47, 292)(48, 304)(49, 317)(50, 232)(51, 287)(52, 248)(53, 233)(54, 309)(55, 296)(56, 239)(57, 311)(58, 261)(59, 288)(60, 272)(61, 236)(62, 294)(63, 254)(64, 237)(65, 274)(66, 257)(67, 277)(68, 251)(69, 275)(70, 320)(71, 322)(72, 241)(73, 316)(74, 242)(75, 250)(76, 280)(77, 307)(78, 244)(79, 258)(80, 245)(81, 319)(82, 269)(83, 321)(84, 290)(85, 259)(86, 253)(87, 284)(88, 249)(89, 300)(90, 278)(91, 306)(92, 323)(93, 324)(94, 318)(95, 256)(96, 270)(97, 273)(98, 281)(99, 267)(100, 305)(101, 282)(102, 313)(103, 315)(104, 308)(105, 286)(106, 297)(107, 299)(108, 295)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2251
Graph:: simple bipartite
	v = 90 e = 216 f = 72
	degree seq :: [ 4^54, 6^36 ]

E28.2243 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3 * Y2)^2, (Y1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, Y3^6, Y1 * Y3^-1 * Y1 * Y2 * Y3 * Y2, (R * Y2 * Y3^-1)^2, Y3^6, Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1, (Y2^-1 * Y3^2)^3, Y2 * Y3 * Y1 * Y2 * Y3^-2 * Y2^-1 * Y3 * Y2^-1 * Y1, Y2 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1, (Y3 * Y2^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110)(3, 111, 11, 119)(4, 112, 10, 118)(5, 113, 17, 125)(6, 114, 8, 116)(7, 115, 21, 129)(9, 117, 27, 135)(12, 120, 32, 140)(13, 121, 26, 134)(14, 122, 24, 132)(15, 123, 30, 138)(16, 124, 23, 131)(18, 126, 41, 149)(19, 127, 43, 151)(20, 128, 25, 133)(22, 130, 47, 155)(28, 136, 53, 161)(29, 137, 55, 163)(31, 139, 45, 153)(33, 141, 61, 169)(34, 142, 64, 172)(35, 143, 40, 148)(36, 144, 51, 159)(37, 145, 57, 165)(38, 146, 50, 158)(39, 147, 66, 174)(42, 150, 54, 162)(44, 152, 76, 184)(46, 154, 58, 166)(48, 156, 81, 189)(49, 157, 84, 192)(52, 160, 86, 194)(56, 164, 91, 199)(59, 167, 78, 186)(60, 168, 95, 203)(62, 170, 72, 180)(63, 171, 85, 193)(65, 173, 83, 191)(67, 175, 97, 205)(68, 176, 94, 202)(69, 177, 93, 201)(70, 178, 82, 190)(71, 179, 99, 207)(73, 181, 89, 197)(74, 182, 102, 210)(75, 183, 79, 187)(77, 185, 103, 211)(80, 188, 105, 213)(87, 195, 104, 212)(88, 196, 107, 215)(90, 198, 100, 208)(92, 200, 98, 206)(96, 204, 108, 216)(101, 209, 106, 214)(217, 325, 219, 327, 221, 329)(218, 326, 223, 331, 225, 333)(220, 328, 230, 338, 232, 340)(222, 330, 235, 343, 228, 336)(224, 332, 240, 348, 242, 350)(226, 334, 245, 353, 238, 346)(227, 335, 247, 355, 241, 349)(229, 337, 250, 358, 234, 342)(231, 339, 237, 345, 253, 361)(233, 341, 255, 363, 256, 364)(236, 344, 262, 370, 260, 368)(239, 347, 265, 373, 244, 352)(243, 351, 268, 376, 254, 362)(246, 354, 274, 382, 272, 380)(248, 356, 276, 384, 275, 383)(249, 357, 261, 369, 279, 387)(251, 359, 283, 391, 281, 389)(252, 360, 271, 379, 284, 392)(257, 365, 289, 397, 287, 395)(258, 366, 282, 390, 290, 398)(259, 367, 291, 399, 267, 375)(263, 371, 296, 404, 285, 393)(264, 372, 273, 381, 299, 407)(266, 374, 303, 411, 301, 409)(269, 377, 305, 413, 304, 412)(270, 378, 302, 410, 306, 414)(277, 385, 313, 421, 312, 420)(278, 386, 311, 419, 314, 422)(280, 388, 309, 417, 288, 396)(286, 394, 300, 408, 294, 402)(292, 400, 317, 425, 318, 426)(293, 401, 295, 403, 315, 423)(297, 405, 320, 428, 322, 430)(298, 406, 321, 429, 319, 427)(307, 415, 324, 432, 316, 424)(308, 416, 310, 418, 323, 431)
	L = (1, 220)(2, 224)(3, 228)(4, 231)(5, 234)(6, 217)(7, 238)(8, 241)(9, 244)(10, 218)(11, 242)(12, 249)(13, 219)(14, 221)(15, 252)(16, 254)(17, 240)(18, 258)(19, 260)(20, 222)(21, 232)(22, 264)(23, 223)(24, 225)(25, 267)(26, 256)(27, 230)(28, 270)(29, 272)(30, 226)(31, 275)(32, 227)(33, 278)(34, 281)(35, 229)(36, 236)(37, 285)(38, 286)(39, 287)(40, 288)(41, 233)(42, 269)(43, 247)(44, 293)(45, 235)(46, 284)(47, 237)(48, 298)(49, 301)(50, 239)(51, 246)(52, 304)(53, 243)(54, 257)(55, 253)(56, 308)(57, 245)(58, 291)(59, 303)(60, 312)(61, 248)(62, 251)(63, 300)(64, 255)(65, 296)(66, 250)(67, 314)(68, 316)(69, 283)(70, 297)(71, 317)(72, 277)(73, 306)(74, 295)(75, 318)(76, 259)(77, 320)(78, 261)(79, 262)(80, 322)(81, 263)(82, 266)(83, 280)(84, 268)(85, 276)(86, 265)(87, 319)(88, 324)(89, 290)(90, 310)(91, 271)(92, 313)(93, 273)(94, 274)(95, 279)(96, 323)(97, 309)(98, 307)(99, 282)(100, 305)(101, 321)(102, 289)(103, 292)(104, 294)(105, 299)(106, 315)(107, 302)(108, 311)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2255
Graph:: simple bipartite
	v = 90 e = 216 f = 72
	degree seq :: [ 4^54, 6^36 ]

E28.2244 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3^-1 * Y2^-1)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^6, Y3 * Y1 * Y2 * Y3 * Y1 * Y3^-2 * Y2^-1, Y1 * Y3^-1 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3^-1, Y3^2 * Y2^-1 * Y3 * Y1 * Y2 * Y3^-1 * Y1, (Y2^-1 * Y1 * Y2^-1 * R)^2, (Y3 * Y2^-1 * Y1 * Y2^-1)^2, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1, (Y2^-1 * Y3^2 * Y1)^2, (Y3^-1 * Y2 * Y3^-1)^3, Y3 * Y2 * Y1 * Y2^-1 * Y1 * Y3 * Y2^-1 * Y3^2, Y3^-1 * Y1 * Y3 * Y2 * Y3^-2 * Y2 * Y1 * Y2^-1, (Y3 * Y2^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110)(3, 111, 11, 119)(4, 112, 10, 118)(5, 113, 17, 125)(6, 114, 8, 116)(7, 115, 21, 129)(9, 117, 27, 135)(12, 120, 34, 142)(13, 121, 32, 140)(14, 122, 38, 146)(15, 123, 30, 138)(16, 124, 43, 151)(18, 126, 47, 155)(19, 127, 49, 157)(20, 128, 25, 133)(22, 130, 56, 164)(23, 131, 54, 162)(24, 132, 60, 168)(26, 134, 65, 173)(28, 136, 69, 177)(29, 137, 71, 179)(31, 139, 53, 161)(33, 141, 67, 175)(35, 143, 72, 180)(36, 144, 58, 166)(37, 145, 73, 181)(39, 147, 86, 194)(40, 148, 90, 198)(41, 149, 63, 171)(42, 150, 66, 174)(44, 152, 64, 172)(45, 153, 55, 163)(46, 154, 68, 176)(48, 156, 74, 182)(50, 158, 57, 165)(51, 159, 59, 167)(52, 160, 70, 178)(61, 169, 97, 205)(62, 170, 84, 192)(75, 183, 100, 208)(76, 184, 99, 207)(77, 185, 92, 200)(78, 186, 101, 209)(79, 187, 107, 215)(80, 188, 89, 197)(81, 189, 106, 214)(82, 190, 104, 212)(83, 191, 103, 211)(85, 193, 108, 216)(87, 195, 98, 206)(88, 196, 102, 210)(91, 199, 95, 203)(93, 201, 94, 202)(96, 204, 105, 213)(217, 325, 219, 327, 221, 329)(218, 326, 223, 331, 225, 333)(220, 328, 230, 338, 232, 340)(222, 330, 235, 343, 228, 336)(224, 332, 240, 348, 242, 350)(226, 334, 245, 353, 238, 346)(227, 335, 247, 355, 249, 357)(229, 337, 252, 360, 234, 342)(231, 339, 256, 364, 258, 366)(233, 341, 261, 369, 262, 370)(236, 344, 268, 376, 266, 374)(237, 345, 269, 377, 271, 379)(239, 347, 274, 382, 244, 352)(241, 349, 278, 386, 280, 388)(243, 351, 283, 391, 284, 392)(246, 354, 290, 398, 288, 396)(248, 356, 293, 401, 294, 402)(250, 358, 296, 404, 291, 399)(251, 359, 267, 375, 297, 405)(253, 361, 300, 408, 298, 406)(254, 362, 301, 409, 303, 411)(255, 363, 304, 412, 260, 368)(257, 365, 308, 416, 285, 393)(259, 367, 295, 403, 292, 400)(263, 371, 279, 387, 310, 418)(264, 372, 299, 407, 313, 421)(265, 373, 312, 420, 311, 419)(270, 378, 309, 417, 317, 425)(272, 380, 314, 422, 315, 423)(273, 381, 289, 397, 318, 426)(275, 383, 306, 414, 319, 427)(276, 384, 321, 429, 305, 413)(277, 385, 322, 430, 282, 390)(281, 389, 307, 415, 316, 424)(286, 394, 320, 428, 302, 410)(287, 395, 324, 432, 323, 431)
	L = (1, 220)(2, 224)(3, 228)(4, 231)(5, 234)(6, 217)(7, 238)(8, 241)(9, 244)(10, 218)(11, 248)(12, 251)(13, 219)(14, 221)(15, 257)(16, 260)(17, 254)(18, 264)(19, 266)(20, 222)(21, 270)(22, 273)(23, 223)(24, 225)(25, 279)(26, 282)(27, 276)(28, 286)(29, 288)(30, 226)(31, 291)(32, 289)(33, 295)(34, 227)(35, 287)(36, 298)(37, 229)(38, 302)(39, 230)(40, 232)(41, 236)(42, 281)(43, 306)(44, 309)(45, 310)(46, 312)(47, 233)(48, 305)(49, 275)(50, 272)(51, 235)(52, 285)(53, 315)(54, 267)(55, 307)(56, 237)(57, 265)(58, 319)(59, 239)(60, 313)(61, 240)(62, 242)(63, 246)(64, 259)(65, 300)(66, 293)(67, 308)(68, 324)(69, 243)(70, 303)(71, 253)(72, 250)(73, 245)(74, 263)(75, 320)(76, 247)(77, 249)(78, 322)(79, 278)(80, 290)(81, 317)(82, 316)(83, 252)(84, 323)(85, 262)(86, 296)(87, 277)(88, 321)(89, 255)(90, 311)(91, 256)(92, 258)(93, 271)(94, 280)(95, 261)(96, 318)(97, 314)(98, 268)(99, 299)(100, 269)(101, 304)(102, 294)(103, 292)(104, 274)(105, 284)(106, 301)(107, 283)(108, 297)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2252
Graph:: simple bipartite
	v = 90 e = 216 f = 72
	degree seq :: [ 4^54, 6^36 ]

E28.2245 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2 * Y1^-1, (Y3 * Y1^-1)^3, Y1^6, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-2 * Y3 * Y1^-2, (Y3 * Y1^-3)^3 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110, 6, 114, 15, 123, 14, 122, 5, 113)(3, 111, 7, 115, 16, 124, 30, 138, 24, 132, 10, 118)(4, 112, 11, 119, 25, 133, 44, 152, 27, 135, 12, 120)(8, 116, 19, 127, 37, 145, 60, 168, 38, 146, 20, 128)(9, 117, 21, 129, 39, 147, 63, 171, 41, 149, 22, 130)(13, 121, 28, 136, 48, 156, 73, 181, 46, 154, 26, 134)(17, 125, 33, 141, 56, 164, 84, 192, 57, 165, 34, 142)(18, 126, 35, 143, 58, 166, 87, 195, 59, 167, 36, 144)(23, 131, 42, 150, 67, 175, 96, 204, 65, 173, 40, 148)(29, 137, 50, 158, 77, 185, 90, 198, 76, 184, 49, 157)(31, 139, 52, 160, 80, 188, 70, 178, 81, 189, 53, 161)(32, 140, 54, 162, 82, 190, 103, 211, 83, 191, 55, 163)(43, 151, 69, 177, 100, 208, 106, 214, 99, 207, 68, 176)(45, 153, 71, 179, 85, 193, 62, 170, 92, 200, 72, 180)(47, 155, 74, 182, 86, 194, 75, 183, 91, 199, 61, 169)(51, 159, 78, 186, 101, 209, 93, 201, 102, 210, 79, 187)(64, 172, 94, 202, 104, 212, 89, 197, 108, 216, 95, 203)(66, 174, 97, 205, 105, 213, 98, 206, 107, 215, 88, 196)(217, 325, 219, 327)(218, 326, 223, 331)(220, 328, 225, 333)(221, 329, 226, 334)(222, 330, 232, 340)(224, 332, 234, 342)(227, 335, 237, 345)(228, 336, 238, 346)(229, 337, 239, 347)(230, 338, 240, 348)(231, 339, 246, 354)(233, 341, 248, 356)(235, 343, 251, 359)(236, 344, 252, 360)(241, 349, 255, 363)(242, 350, 256, 364)(243, 351, 257, 365)(244, 352, 258, 366)(245, 353, 259, 367)(247, 355, 267, 375)(249, 357, 270, 378)(250, 358, 271, 379)(253, 361, 274, 382)(254, 362, 275, 383)(260, 368, 279, 387)(261, 369, 280, 388)(262, 370, 281, 389)(263, 371, 282, 390)(264, 372, 283, 391)(265, 373, 284, 392)(266, 374, 285, 393)(268, 376, 294, 402)(269, 377, 295, 403)(272, 380, 298, 406)(273, 381, 299, 407)(276, 384, 303, 411)(277, 385, 304, 412)(278, 386, 305, 413)(286, 394, 309, 417)(287, 395, 310, 418)(288, 396, 311, 419)(289, 397, 312, 420)(290, 398, 313, 421)(291, 399, 314, 422)(292, 400, 315, 423)(293, 401, 316, 424)(296, 404, 317, 425)(297, 405, 318, 426)(300, 408, 319, 427)(301, 409, 320, 428)(302, 410, 321, 429)(306, 414, 322, 430)(307, 415, 323, 431)(308, 416, 324, 432)
	L = (1, 220)(2, 224)(3, 225)(4, 217)(5, 229)(6, 233)(7, 234)(8, 218)(9, 219)(10, 239)(11, 242)(12, 235)(13, 221)(14, 245)(15, 247)(16, 248)(17, 222)(18, 223)(19, 228)(20, 249)(21, 256)(22, 251)(23, 226)(24, 259)(25, 261)(26, 227)(27, 263)(28, 265)(29, 230)(30, 267)(31, 231)(32, 232)(33, 236)(34, 268)(35, 238)(36, 270)(37, 277)(38, 278)(39, 280)(40, 237)(41, 282)(42, 284)(43, 240)(44, 286)(45, 241)(46, 287)(47, 243)(48, 291)(49, 244)(50, 269)(51, 246)(52, 250)(53, 266)(54, 252)(55, 294)(56, 301)(57, 302)(58, 304)(59, 305)(60, 306)(61, 253)(62, 254)(63, 309)(64, 255)(65, 310)(66, 257)(67, 314)(68, 258)(69, 295)(70, 260)(71, 262)(72, 297)(73, 300)(74, 296)(75, 264)(76, 307)(77, 308)(78, 271)(79, 285)(80, 290)(81, 288)(82, 320)(83, 321)(84, 289)(85, 272)(86, 273)(87, 322)(88, 274)(89, 275)(90, 276)(91, 292)(92, 293)(93, 279)(94, 281)(95, 318)(96, 319)(97, 317)(98, 283)(99, 323)(100, 324)(101, 313)(102, 311)(103, 312)(104, 298)(105, 299)(106, 303)(107, 315)(108, 316)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2238
Graph:: simple bipartite
	v = 72 e = 216 f = 90
	degree seq :: [ 4^54, 12^18 ]

E28.2246 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^-3 * Y3, (R * Y2)^2, Y3 * Y1 * Y3 * Y1^-1, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2 * Y1^-1)^6, (Y2 * Y1 * Y2 * Y1^-1)^3 ]
Map:: non-degenerate
	R = (1, 109, 2, 110, 6, 114, 4, 112, 8, 116, 5, 113)(3, 111, 9, 117, 17, 125, 10, 118, 19, 127, 11, 119)(7, 115, 14, 122, 25, 133, 15, 123, 27, 135, 16, 124)(12, 120, 21, 129, 24, 132, 13, 121, 23, 131, 22, 130)(18, 126, 30, 138, 47, 155, 31, 139, 49, 157, 32, 140)(20, 128, 33, 141, 46, 154, 29, 137, 45, 153, 34, 142)(26, 134, 40, 148, 63, 171, 41, 149, 65, 173, 42, 150)(28, 136, 43, 151, 62, 170, 39, 147, 61, 169, 44, 152)(35, 143, 53, 161, 58, 166, 37, 145, 57, 165, 54, 162)(36, 144, 55, 163, 60, 168, 38, 146, 59, 167, 56, 164)(48, 156, 72, 180, 94, 202, 73, 181, 84, 192, 74, 182)(50, 158, 67, 175, 91, 199, 71, 179, 85, 193, 75, 183)(51, 159, 76, 184, 82, 190, 69, 177, 93, 201, 77, 185)(52, 160, 78, 186, 88, 196, 70, 178, 89, 197, 64, 172)(66, 174, 83, 191, 100, 208, 87, 195, 80, 188, 90, 198)(68, 176, 92, 200, 79, 187, 86, 194, 99, 207, 81, 189)(95, 203, 101, 209, 107, 215, 106, 214, 98, 206, 104, 212)(96, 204, 102, 210, 97, 205, 103, 211, 108, 216, 105, 213)(217, 325, 219, 327)(218, 326, 223, 331)(220, 328, 226, 334)(221, 329, 228, 336)(222, 330, 229, 337)(224, 332, 231, 339)(225, 333, 234, 342)(227, 335, 236, 344)(230, 338, 242, 350)(232, 340, 244, 352)(233, 341, 245, 353)(235, 343, 247, 355)(237, 345, 251, 359)(238, 346, 252, 360)(239, 347, 253, 361)(240, 348, 254, 362)(241, 349, 255, 363)(243, 351, 257, 365)(246, 354, 264, 372)(248, 356, 266, 374)(249, 357, 267, 375)(250, 358, 268, 376)(256, 364, 280, 388)(258, 366, 282, 390)(259, 367, 283, 391)(260, 368, 284, 392)(261, 369, 285, 393)(262, 370, 286, 394)(263, 371, 287, 395)(265, 373, 289, 397)(269, 377, 295, 403)(270, 378, 293, 401)(271, 379, 296, 404)(272, 380, 288, 396)(273, 381, 297, 405)(274, 382, 298, 406)(275, 383, 299, 407)(276, 384, 300, 408)(277, 385, 301, 409)(278, 386, 302, 410)(279, 387, 303, 411)(281, 389, 304, 412)(290, 398, 311, 419)(291, 399, 312, 420)(292, 400, 313, 421)(294, 402, 314, 422)(305, 413, 317, 425)(306, 414, 318, 426)(307, 415, 319, 427)(308, 416, 320, 428)(309, 417, 321, 429)(310, 418, 322, 430)(315, 423, 323, 431)(316, 424, 324, 432)
	L = (1, 220)(2, 224)(3, 226)(4, 217)(5, 222)(6, 221)(7, 231)(8, 218)(9, 235)(10, 219)(11, 233)(12, 229)(13, 228)(14, 243)(15, 223)(16, 241)(17, 227)(18, 247)(19, 225)(20, 245)(21, 239)(22, 240)(23, 237)(24, 238)(25, 232)(26, 257)(27, 230)(28, 255)(29, 236)(30, 265)(31, 234)(32, 263)(33, 261)(34, 262)(35, 253)(36, 254)(37, 251)(38, 252)(39, 244)(40, 281)(41, 242)(42, 279)(43, 277)(44, 278)(45, 249)(46, 250)(47, 248)(48, 289)(49, 246)(50, 287)(51, 285)(52, 286)(53, 273)(54, 274)(55, 275)(56, 276)(57, 269)(58, 270)(59, 271)(60, 272)(61, 259)(62, 260)(63, 258)(64, 304)(65, 256)(66, 303)(67, 301)(68, 302)(69, 267)(70, 268)(71, 266)(72, 300)(73, 264)(74, 310)(75, 307)(76, 309)(77, 298)(78, 305)(79, 297)(80, 299)(81, 295)(82, 293)(83, 296)(84, 288)(85, 283)(86, 284)(87, 282)(88, 280)(89, 294)(90, 316)(91, 291)(92, 315)(93, 292)(94, 290)(95, 322)(96, 319)(97, 321)(98, 317)(99, 308)(100, 306)(101, 314)(102, 324)(103, 312)(104, 323)(105, 313)(106, 311)(107, 320)(108, 318)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2236
Graph:: bipartite
	v = 72 e = 216 f = 90
	degree seq :: [ 4^54, 12^18 ]

E28.2247 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (Y1 * Y2)^2, (R * Y1)^2, (Y3 * Y2)^2, (R * Y3)^2, (Y3 * Y1^-1)^3, Y1^6, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-2 * Y3 * Y1^-2, (Y3 * Y1^-3)^3 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110, 6, 114, 15, 123, 14, 122, 5, 113)(3, 111, 9, 117, 21, 129, 30, 138, 16, 124, 7, 115)(4, 112, 11, 119, 25, 133, 44, 152, 27, 135, 12, 120)(8, 116, 19, 127, 37, 145, 60, 168, 38, 146, 20, 128)(10, 118, 23, 131, 42, 150, 67, 175, 43, 151, 24, 132)(13, 121, 28, 136, 48, 156, 73, 181, 46, 154, 26, 134)(17, 125, 33, 141, 56, 164, 84, 192, 57, 165, 34, 142)(18, 126, 35, 143, 58, 166, 87, 195, 59, 167, 36, 144)(22, 130, 40, 148, 65, 173, 95, 203, 66, 174, 41, 149)(29, 137, 50, 158, 77, 185, 90, 198, 76, 184, 49, 157)(31, 139, 52, 160, 80, 188, 70, 178, 81, 189, 53, 161)(32, 140, 54, 162, 82, 190, 103, 211, 83, 191, 55, 163)(39, 147, 63, 171, 93, 201, 106, 214, 94, 202, 64, 172)(45, 153, 71, 179, 85, 193, 62, 170, 92, 200, 72, 180)(47, 155, 74, 182, 86, 194, 75, 183, 91, 199, 61, 169)(51, 159, 78, 186, 101, 209, 98, 206, 102, 210, 79, 187)(68, 176, 89, 197, 108, 216, 97, 205, 104, 212, 99, 207)(69, 177, 100, 208, 107, 215, 88, 196, 105, 213, 96, 204)(217, 325, 219, 327)(218, 326, 223, 331)(220, 328, 226, 334)(221, 329, 225, 333)(222, 330, 232, 340)(224, 332, 234, 342)(227, 335, 240, 348)(228, 336, 239, 347)(229, 337, 238, 346)(230, 338, 237, 345)(231, 339, 246, 354)(233, 341, 248, 356)(235, 343, 252, 360)(236, 344, 251, 359)(241, 349, 259, 367)(242, 350, 256, 364)(243, 351, 258, 366)(244, 352, 257, 365)(245, 353, 255, 363)(247, 355, 267, 375)(249, 357, 271, 379)(250, 358, 270, 378)(253, 361, 275, 383)(254, 362, 274, 382)(260, 368, 283, 391)(261, 369, 285, 393)(262, 370, 281, 389)(263, 371, 284, 392)(264, 372, 282, 390)(265, 373, 279, 387)(266, 374, 280, 388)(268, 376, 295, 403)(269, 377, 294, 402)(272, 380, 299, 407)(273, 381, 298, 406)(276, 384, 303, 411)(277, 385, 305, 413)(278, 386, 304, 412)(286, 394, 314, 422)(287, 395, 312, 420)(288, 396, 316, 424)(289, 397, 311, 419)(290, 398, 315, 423)(291, 399, 313, 421)(292, 400, 309, 417)(293, 401, 310, 418)(296, 404, 318, 426)(297, 405, 317, 425)(300, 408, 319, 427)(301, 409, 321, 429)(302, 410, 320, 428)(306, 414, 322, 430)(307, 415, 324, 432)(308, 416, 323, 431)
	L = (1, 220)(2, 224)(3, 226)(4, 217)(5, 229)(6, 233)(7, 234)(8, 218)(9, 238)(10, 219)(11, 242)(12, 235)(13, 221)(14, 245)(15, 247)(16, 248)(17, 222)(18, 223)(19, 228)(20, 249)(21, 255)(22, 225)(23, 252)(24, 256)(25, 261)(26, 227)(27, 263)(28, 265)(29, 230)(30, 267)(31, 231)(32, 232)(33, 236)(34, 268)(35, 271)(36, 239)(37, 277)(38, 278)(39, 237)(40, 240)(41, 279)(42, 284)(43, 285)(44, 286)(45, 241)(46, 287)(47, 243)(48, 291)(49, 244)(50, 269)(51, 246)(52, 250)(53, 266)(54, 295)(55, 251)(56, 301)(57, 302)(58, 304)(59, 305)(60, 306)(61, 253)(62, 254)(63, 257)(64, 294)(65, 312)(66, 313)(67, 314)(68, 258)(69, 259)(70, 260)(71, 262)(72, 297)(73, 300)(74, 296)(75, 264)(76, 307)(77, 308)(78, 280)(79, 270)(80, 290)(81, 288)(82, 320)(83, 321)(84, 289)(85, 272)(86, 273)(87, 322)(88, 274)(89, 275)(90, 276)(91, 292)(92, 293)(93, 324)(94, 323)(95, 319)(96, 281)(97, 282)(98, 283)(99, 318)(100, 317)(101, 316)(102, 315)(103, 311)(104, 298)(105, 299)(106, 303)(107, 310)(108, 309)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2240
Graph:: simple bipartite
	v = 72 e = 216 f = 90
	degree seq :: [ 4^54, 12^18 ]

E28.2248 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y2)^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y2 * Y1 * Y2 * Y3 * Y1^-1, Y2 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1, Y1^6, Y2 * Y1^-3 * Y2 * Y1^-3 * Y3 * Y1^-3, Y2 * Y1 * Y2 * Y1^-1 * Y3 * Y1 * Y2 * Y1^-2 * Y2 * Y1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110, 6, 114, 17, 125, 16, 124, 5, 113)(3, 111, 9, 117, 25, 133, 47, 155, 29, 137, 11, 119)(4, 112, 12, 120, 30, 138, 55, 163, 31, 139, 13, 121)(7, 115, 20, 128, 43, 151, 71, 179, 44, 152, 22, 130)(8, 116, 23, 131, 45, 153, 76, 184, 46, 154, 24, 132)(10, 118, 21, 129, 39, 147, 63, 171, 52, 160, 28, 136)(14, 122, 32, 140, 56, 164, 84, 192, 51, 159, 27, 135)(15, 123, 33, 141, 59, 167, 83, 191, 50, 158, 26, 134)(18, 126, 38, 146, 67, 175, 97, 205, 68, 176, 40, 148)(19, 127, 41, 149, 69, 177, 102, 210, 70, 178, 42, 150)(34, 142, 60, 168, 91, 199, 104, 212, 90, 198, 58, 166)(35, 143, 61, 169, 92, 200, 103, 211, 89, 197, 57, 165)(36, 144, 62, 170, 93, 201, 78, 186, 94, 202, 64, 172)(37, 145, 65, 173, 95, 203, 77, 185, 96, 204, 66, 174)(48, 156, 79, 187, 98, 206, 74, 182, 107, 215, 80, 188)(49, 157, 81, 189, 99, 207, 75, 183, 108, 216, 82, 190)(53, 161, 85, 193, 100, 208, 87, 195, 105, 213, 72, 180)(54, 162, 86, 194, 101, 209, 88, 196, 106, 214, 73, 181)(217, 325, 219, 327)(218, 326, 223, 331)(220, 328, 226, 334)(221, 329, 230, 338)(222, 330, 234, 342)(224, 332, 237, 345)(225, 333, 242, 350)(227, 335, 239, 347)(228, 336, 243, 351)(229, 337, 236, 344)(231, 339, 244, 352)(232, 340, 250, 358)(233, 341, 252, 360)(235, 343, 255, 363)(238, 346, 257, 365)(240, 348, 254, 362)(241, 349, 264, 372)(245, 353, 269, 377)(246, 354, 265, 373)(247, 355, 270, 378)(248, 356, 273, 381)(249, 357, 274, 382)(251, 359, 268, 376)(253, 361, 279, 387)(256, 364, 281, 389)(258, 366, 278, 386)(259, 367, 288, 396)(260, 368, 290, 398)(261, 369, 289, 397)(262, 370, 291, 399)(263, 371, 293, 401)(266, 374, 297, 405)(267, 375, 295, 403)(271, 379, 294, 402)(272, 380, 303, 411)(275, 383, 304, 412)(276, 384, 282, 390)(277, 385, 280, 388)(283, 391, 314, 422)(284, 392, 316, 424)(285, 393, 315, 423)(286, 394, 317, 425)(287, 395, 319, 427)(292, 400, 320, 428)(296, 404, 310, 418)(298, 406, 312, 420)(299, 407, 313, 421)(300, 408, 318, 426)(301, 409, 309, 417)(302, 410, 311, 419)(305, 413, 322, 430)(306, 414, 321, 429)(307, 415, 323, 431)(308, 416, 324, 432)
	L = (1, 220)(2, 224)(3, 226)(4, 217)(5, 231)(6, 235)(7, 237)(8, 218)(9, 243)(10, 219)(11, 236)(12, 242)(13, 239)(14, 244)(15, 221)(16, 251)(17, 253)(18, 255)(19, 222)(20, 227)(21, 223)(22, 254)(23, 229)(24, 257)(25, 265)(26, 228)(27, 225)(28, 230)(29, 270)(30, 264)(31, 269)(32, 274)(33, 273)(34, 268)(35, 232)(36, 279)(37, 233)(38, 238)(39, 234)(40, 278)(41, 240)(42, 281)(43, 289)(44, 291)(45, 288)(46, 290)(47, 294)(48, 246)(49, 241)(50, 295)(51, 297)(52, 250)(53, 247)(54, 245)(55, 293)(56, 304)(57, 249)(58, 248)(59, 303)(60, 280)(61, 282)(62, 256)(63, 252)(64, 276)(65, 258)(66, 277)(67, 315)(68, 317)(69, 314)(70, 316)(71, 320)(72, 261)(73, 259)(74, 262)(75, 260)(76, 319)(77, 271)(78, 263)(79, 266)(80, 312)(81, 267)(82, 310)(83, 318)(84, 313)(85, 311)(86, 309)(87, 275)(88, 272)(89, 321)(90, 322)(91, 324)(92, 323)(93, 302)(94, 298)(95, 301)(96, 296)(97, 300)(98, 285)(99, 283)(100, 286)(101, 284)(102, 299)(103, 292)(104, 287)(105, 305)(106, 306)(107, 308)(108, 307)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2237
Graph:: simple bipartite
	v = 72 e = 216 f = 90
	degree seq :: [ 4^54, 12^18 ]

E28.2249 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3^-1 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y1^-1, Y1^6, Y3^-3 * Y1^-3, (R * Y2 * Y3^-1)^2, Y3^-3 * Y1^3, (Y3^-1 * Y1^-1)^3, (Y1 * Y3^-1)^3, Y3^-1 * Y2 * Y1^-1 * Y3^2 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1^-1 * R * Y3^-1 * Y1 * Y2 * R * Y1^-1, Y3^-1 * Y1 * Y3 * Y1^-2 * Y3 * Y1 * Y3^-1, Y2 * Y3^-3 * Y2 * Y1^-3, Y3 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y1^2 * Y3^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y1^-1 * Y3 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y3^-1, Y3^-1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110, 7, 115, 25, 133, 20, 128, 5, 113)(3, 111, 11, 119, 39, 147, 68, 176, 48, 156, 13, 121)(4, 112, 15, 123, 52, 160, 24, 132, 59, 167, 17, 125)(6, 114, 22, 130, 57, 165, 16, 124, 56, 164, 23, 131)(8, 116, 29, 137, 77, 185, 66, 174, 86, 194, 31, 139)(9, 117, 33, 141, 89, 197, 38, 146, 95, 203, 35, 143)(10, 118, 36, 144, 93, 201, 34, 142, 92, 200, 37, 145)(12, 120, 43, 151, 79, 187, 51, 159, 100, 208, 45, 153)(14, 122, 32, 140, 72, 180, 44, 152, 82, 190, 50, 158)(18, 126, 61, 169, 71, 179, 26, 134, 69, 177, 63, 171)(19, 127, 64, 172, 74, 182, 27, 135, 73, 181, 65, 173)(21, 129, 67, 175, 76, 184, 28, 136, 75, 183, 54, 162)(30, 138, 81, 189, 104, 212, 88, 196, 47, 155, 83, 191)(40, 148, 78, 186, 103, 211, 102, 210, 60, 168, 96, 204)(41, 149, 70, 178, 106, 214, 98, 206, 62, 170, 85, 193)(42, 150, 80, 188, 105, 213, 97, 205, 58, 166, 94, 202)(46, 154, 84, 192, 55, 163, 91, 199, 108, 216, 101, 209)(49, 157, 87, 195, 53, 161, 90, 198, 107, 215, 99, 207)(217, 325, 219, 327)(218, 326, 224, 332)(220, 328, 230, 338)(221, 329, 234, 342)(222, 330, 228, 336)(223, 331, 242, 350)(225, 333, 248, 356)(226, 334, 246, 354)(227, 335, 256, 364)(229, 337, 262, 370)(231, 339, 269, 377)(232, 340, 267, 375)(233, 341, 274, 382)(235, 343, 266, 374)(236, 344, 282, 390)(237, 345, 278, 386)(238, 346, 257, 365)(239, 347, 263, 371)(240, 348, 260, 368)(241, 349, 284, 392)(243, 351, 288, 396)(244, 352, 286, 394)(245, 353, 294, 402)(247, 355, 300, 408)(249, 357, 306, 414)(250, 358, 304, 412)(251, 359, 310, 418)(252, 360, 295, 403)(253, 361, 301, 409)(254, 362, 298, 406)(255, 363, 307, 415)(258, 366, 290, 398)(259, 367, 292, 400)(261, 369, 308, 416)(264, 372, 318, 426)(265, 373, 311, 419)(268, 376, 296, 404)(270, 378, 316, 424)(271, 379, 287, 395)(272, 380, 314, 422)(273, 381, 297, 405)(275, 383, 315, 423)(276, 384, 302, 410)(277, 385, 312, 420)(279, 387, 317, 425)(280, 388, 303, 411)(281, 389, 313, 421)(283, 391, 299, 407)(285, 393, 319, 427)(289, 397, 323, 431)(291, 399, 320, 428)(293, 401, 324, 432)(305, 413, 321, 429)(309, 417, 322, 430)
	L = (1, 220)(2, 225)(3, 228)(4, 232)(5, 235)(6, 217)(7, 243)(8, 246)(9, 250)(10, 218)(11, 257)(12, 260)(13, 263)(14, 219)(15, 270)(16, 241)(17, 252)(18, 278)(19, 244)(20, 254)(21, 221)(22, 256)(23, 262)(24, 222)(25, 240)(26, 286)(27, 237)(28, 223)(29, 295)(30, 298)(31, 301)(32, 224)(33, 239)(34, 236)(35, 291)(36, 294)(37, 300)(38, 226)(39, 297)(40, 290)(41, 313)(42, 227)(43, 315)(44, 284)(45, 296)(46, 311)(47, 306)(48, 314)(49, 229)(50, 234)(51, 230)(52, 308)(53, 287)(54, 317)(55, 231)(56, 318)(57, 307)(58, 302)(59, 292)(60, 233)(61, 299)(62, 288)(63, 316)(64, 309)(65, 238)(66, 304)(67, 312)(68, 267)(69, 320)(70, 266)(71, 259)(72, 242)(73, 253)(74, 272)(75, 319)(76, 271)(77, 322)(78, 268)(79, 274)(80, 245)(81, 265)(82, 282)(83, 321)(84, 280)(85, 323)(86, 261)(87, 247)(88, 248)(89, 283)(90, 255)(91, 249)(92, 276)(93, 324)(94, 277)(95, 273)(96, 251)(97, 264)(98, 258)(99, 279)(100, 269)(101, 275)(102, 281)(103, 305)(104, 310)(105, 285)(106, 303)(107, 293)(108, 289)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2241
Graph:: simple bipartite
	v = 72 e = 216 f = 90
	degree seq :: [ 4^54, 12^18 ]

E28.2250 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y2 * Y3^-1)^2, (R * Y3^-1)^2, (R * Y1)^2, (Y1 * Y3^-1)^3, Y1^-1 * Y3^-3 * Y1^-2, Y2 * Y1 * R * Y2 * R * Y1^-1, Y1^6, Y3^-1 * Y2 * Y1^-1 * Y2 * Y1^-2, Y3^-1 * R * Y2 * R * Y3 * Y2, Y1 * Y3^-3 * Y1^2, Y3^6, (Y3^-1 * Y1^-1)^3, Y3^2 * Y1^-1 * Y3^2 * Y1^-1 * Y3^-1 * Y1^-1, Y1 * Y2 * Y1 * Y3^2 * Y1 * Y3^-1 * Y2, (Y3 * Y1 * Y2 * Y1^-1)^2, Y1^-2 * R * Y2 * Y1 * Y3^-1 * Y2 * R ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110, 7, 115, 25, 133, 20, 128, 5, 113)(3, 111, 11, 119, 39, 147, 63, 171, 30, 138, 13, 121)(4, 112, 15, 123, 43, 151, 24, 132, 54, 162, 17, 125)(6, 114, 22, 130, 53, 161, 16, 124, 52, 160, 23, 131)(8, 116, 29, 137, 71, 179, 40, 148, 64, 172, 31, 139)(9, 117, 33, 141, 73, 181, 38, 146, 82, 190, 35, 143)(10, 118, 36, 144, 81, 189, 34, 142, 80, 188, 37, 145)(12, 120, 41, 149, 18, 126, 48, 156, 65, 173, 26, 134)(14, 122, 46, 154, 91, 199, 42, 150, 90, 198, 47, 155)(19, 127, 57, 165, 68, 176, 27, 135, 67, 175, 58, 166)(21, 129, 59, 167, 70, 178, 28, 136, 69, 177, 50, 158)(32, 140, 76, 184, 107, 215, 72, 180, 106, 214, 77, 185)(44, 152, 75, 183, 49, 157, 87, 195, 103, 211, 92, 200)(45, 153, 93, 201, 98, 206, 84, 192, 101, 209, 88, 196)(51, 159, 79, 187, 102, 210, 94, 202, 62, 170, 86, 194)(55, 163, 83, 191, 61, 169, 85, 193, 104, 212, 96, 204)(56, 164, 97, 205, 100, 208, 66, 174, 99, 207, 95, 203)(60, 168, 78, 186, 105, 213, 89, 197, 108, 216, 74, 182)(217, 325, 219, 327)(218, 326, 224, 332)(220, 328, 230, 338)(221, 329, 234, 342)(222, 330, 228, 336)(223, 331, 242, 350)(225, 333, 248, 356)(226, 334, 246, 354)(227, 335, 250, 358)(229, 337, 259, 367)(231, 339, 265, 373)(232, 340, 264, 372)(233, 341, 255, 363)(235, 343, 272, 380)(236, 344, 256, 364)(237, 345, 245, 353)(238, 346, 276, 384)(239, 347, 263, 371)(240, 348, 258, 366)(241, 349, 279, 387)(243, 351, 282, 390)(244, 352, 280, 388)(247, 355, 289, 397)(249, 357, 294, 402)(251, 359, 287, 395)(252, 360, 300, 408)(253, 361, 293, 401)(254, 362, 288, 396)(257, 365, 284, 392)(260, 368, 301, 409)(261, 369, 296, 404)(262, 370, 310, 418)(266, 374, 311, 419)(267, 375, 306, 414)(268, 376, 305, 413)(269, 377, 307, 415)(270, 378, 308, 416)(271, 379, 303, 411)(273, 381, 309, 417)(274, 382, 281, 389)(275, 383, 291, 399)(277, 385, 304, 412)(278, 386, 292, 400)(283, 391, 317, 425)(285, 393, 319, 427)(286, 394, 316, 424)(290, 398, 320, 428)(295, 403, 322, 430)(297, 405, 323, 431)(298, 406, 324, 432)(299, 407, 321, 429)(302, 410, 315, 423)(312, 420, 314, 422)(313, 421, 318, 426)
	L = (1, 220)(2, 225)(3, 228)(4, 232)(5, 235)(6, 217)(7, 243)(8, 246)(9, 250)(10, 218)(11, 248)(12, 258)(13, 260)(14, 219)(15, 266)(16, 241)(17, 252)(18, 245)(19, 244)(20, 254)(21, 221)(22, 277)(23, 278)(24, 222)(25, 240)(26, 280)(27, 237)(28, 223)(29, 282)(30, 288)(31, 290)(32, 224)(33, 239)(34, 236)(35, 285)(36, 301)(37, 302)(38, 226)(39, 303)(40, 227)(41, 304)(42, 279)(43, 296)(44, 300)(45, 229)(46, 311)(47, 294)(48, 230)(49, 306)(50, 310)(51, 231)(52, 312)(53, 295)(54, 286)(55, 233)(56, 234)(57, 297)(58, 238)(59, 299)(60, 281)(61, 284)(62, 298)(63, 264)(64, 272)(65, 314)(66, 242)(67, 253)(68, 268)(69, 320)(70, 267)(71, 321)(72, 256)(73, 275)(74, 319)(75, 247)(76, 263)(77, 317)(78, 322)(79, 249)(80, 271)(81, 318)(82, 269)(83, 251)(84, 255)(85, 259)(86, 273)(87, 261)(88, 276)(89, 257)(90, 316)(91, 324)(92, 262)(93, 315)(94, 270)(95, 265)(96, 274)(97, 323)(98, 305)(99, 293)(100, 308)(101, 313)(102, 283)(103, 287)(104, 289)(105, 291)(106, 307)(107, 309)(108, 292)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2233
Graph:: simple bipartite
	v = 72 e = 216 f = 90
	degree seq :: [ 4^54, 12^18 ]

E28.2251 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y2 * Y3)^2, (Y2 * Y3^-1)^2, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y1^-3 * Y3^-2, Y1^3 * Y3^-3, (R * Y2 * Y3^-1)^2, Y1^6, Y3^-3 * Y1^3, (Y1^-1 * R * Y2)^2, Y3 * Y2 * Y3^-1 * Y1 * Y2 * Y1^-1, Y1^-2 * Y3^-3 * Y1^-1, (Y3^-1 * Y1^-1)^3, (Y3 * Y1^-1)^3, Y3^-1 * Y2 * Y1^-2 * Y2 * Y1^-1, Y3^-2 * Y1^-1 * Y3 * Y1^-1 * Y3^-2 * Y1^-1, Y3^2 * Y1^-1 * Y3^2 * Y1^-1 * Y3^-1 * Y1^-1, (Y2 * Y1 * Y3^-1 * Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110, 7, 115, 25, 133, 20, 128, 5, 113)(3, 111, 11, 119, 39, 147, 63, 171, 46, 154, 13, 121)(4, 112, 15, 123, 49, 157, 24, 132, 40, 148, 17, 125)(6, 114, 22, 130, 53, 161, 16, 124, 52, 160, 23, 131)(8, 116, 29, 137, 12, 120, 43, 151, 75, 183, 31, 139)(9, 117, 33, 141, 78, 186, 38, 146, 71, 179, 35, 143)(10, 118, 36, 144, 81, 189, 34, 142, 80, 188, 37, 145)(14, 122, 47, 155, 92, 200, 44, 152, 91, 199, 48, 156)(18, 126, 56, 164, 65, 173, 26, 134, 64, 172, 30, 138)(19, 127, 57, 165, 68, 176, 27, 135, 67, 175, 58, 166)(21, 129, 59, 167, 70, 178, 28, 136, 69, 177, 50, 158)(32, 140, 76, 184, 108, 216, 74, 182, 107, 215, 77, 185)(41, 149, 88, 196, 99, 207, 90, 198, 54, 162, 85, 193)(42, 150, 72, 180, 105, 213, 89, 197, 106, 214, 82, 190)(45, 153, 93, 201, 101, 209, 66, 174, 100, 208, 94, 202)(51, 159, 79, 187, 102, 210, 87, 195, 62, 170, 86, 194)(55, 163, 83, 191, 60, 168, 84, 192, 104, 212, 96, 204)(61, 169, 97, 205, 103, 211, 73, 181, 98, 206, 95, 203)(217, 325, 219, 327)(218, 326, 224, 332)(220, 328, 230, 338)(221, 329, 234, 342)(222, 330, 228, 336)(223, 331, 242, 350)(225, 333, 248, 356)(226, 334, 246, 354)(227, 335, 256, 364)(229, 337, 244, 352)(231, 339, 262, 370)(232, 340, 247, 355)(233, 341, 270, 378)(235, 343, 261, 369)(236, 344, 259, 367)(237, 345, 255, 363)(238, 346, 263, 371)(239, 347, 277, 385)(240, 348, 260, 368)(241, 349, 279, 387)(243, 351, 282, 390)(245, 353, 287, 395)(249, 357, 291, 399)(250, 358, 281, 389)(251, 359, 298, 406)(252, 360, 292, 400)(253, 361, 301, 409)(254, 362, 290, 398)(257, 365, 303, 411)(258, 366, 286, 394)(264, 372, 300, 408)(265, 373, 304, 412)(266, 374, 305, 413)(267, 375, 306, 414)(268, 376, 307, 415)(269, 377, 289, 397)(271, 379, 308, 416)(272, 380, 283, 391)(273, 381, 280, 388)(274, 382, 311, 419)(275, 383, 309, 417)(276, 384, 310, 418)(278, 386, 288, 396)(284, 392, 319, 427)(285, 393, 316, 424)(293, 401, 320, 428)(294, 402, 321, 429)(295, 403, 322, 430)(296, 404, 323, 431)(297, 405, 315, 423)(299, 407, 324, 432)(302, 410, 314, 422)(312, 420, 317, 425)(313, 421, 318, 426)
	L = (1, 220)(2, 225)(3, 228)(4, 232)(5, 235)(6, 217)(7, 243)(8, 246)(9, 250)(10, 218)(11, 257)(12, 260)(13, 261)(14, 219)(15, 266)(16, 241)(17, 252)(18, 255)(19, 244)(20, 254)(21, 221)(22, 276)(23, 278)(24, 222)(25, 240)(26, 229)(27, 237)(28, 223)(29, 288)(30, 290)(31, 230)(32, 224)(33, 239)(34, 236)(35, 285)(36, 300)(37, 302)(38, 226)(39, 282)(40, 286)(41, 305)(42, 227)(43, 281)(44, 279)(45, 234)(46, 306)(47, 311)(48, 292)(49, 296)(50, 303)(51, 231)(52, 312)(53, 295)(54, 308)(55, 233)(56, 313)(57, 297)(58, 238)(59, 299)(60, 284)(61, 291)(62, 287)(63, 247)(64, 314)(65, 248)(66, 242)(67, 253)(68, 268)(69, 320)(70, 267)(71, 269)(72, 277)(73, 245)(74, 259)(75, 322)(76, 270)(77, 316)(78, 275)(79, 249)(80, 271)(81, 318)(82, 324)(83, 251)(84, 265)(85, 272)(86, 273)(87, 256)(88, 264)(89, 262)(90, 258)(91, 319)(92, 323)(93, 321)(94, 263)(95, 317)(96, 274)(97, 315)(98, 301)(99, 280)(100, 298)(101, 307)(102, 283)(103, 310)(104, 294)(105, 293)(106, 289)(107, 304)(108, 309)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2242
Graph:: simple bipartite
	v = 72 e = 216 f = 90
	degree seq :: [ 4^54, 12^18 ]

E28.2252 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^6, (R * Y2 * Y3^-1)^2, Y2 * Y3^-2 * Y1 * Y2 * Y1^-1, (Y3 * Y1)^3, (Y1^-1 * Y3^-1 * Y1^-1)^2, Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3, (Y3 * Y1^-1)^3, (Y1^-1 * R * Y2)^2, (Y2 * Y1^-2)^2, Y1^6, Y1^-1 * Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1^-1, Y3 * Y1^-1 * Y2 * Y3^-1 * Y1^-1 * Y2 * Y3^-1 * Y1^-1, (Y3^-2 * Y2 * Y1^-1)^2, Y2 * Y3 * Y1^-1 * Y3 * Y2 * Y1 * Y3 * Y1^-1, Y1^-1 * Y3 * Y1 * Y3^-2 * Y1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110, 7, 115, 25, 133, 20, 128, 5, 113)(3, 111, 11, 119, 39, 147, 70, 178, 26, 134, 13, 121)(4, 112, 15, 123, 51, 159, 100, 208, 58, 166, 17, 125)(6, 114, 22, 130, 64, 172, 73, 181, 27, 135, 23, 131)(8, 116, 29, 137, 18, 126, 60, 168, 66, 174, 31, 139)(9, 117, 33, 141, 21, 129, 59, 167, 90, 198, 35, 143)(10, 118, 36, 144, 91, 199, 102, 210, 67, 175, 37, 145)(12, 120, 43, 151, 71, 179, 106, 214, 79, 187, 45, 153)(14, 122, 49, 157, 99, 207, 65, 173, 93, 201, 50, 158)(16, 124, 54, 162, 72, 180, 38, 146, 77, 185, 56, 164)(19, 127, 53, 161, 68, 176, 103, 211, 87, 195, 62, 170)(24, 132, 40, 148, 76, 184, 46, 154, 88, 196, 34, 142)(28, 136, 74, 182, 55, 163, 96, 204, 63, 171, 75, 183)(30, 138, 80, 188, 41, 149, 94, 202, 48, 156, 82, 190)(32, 140, 84, 192, 42, 150, 92, 200, 61, 169, 85, 193)(44, 152, 98, 206, 108, 216, 95, 203, 104, 212, 81, 189)(47, 155, 97, 205, 105, 213, 86, 194, 101, 209, 89, 197)(52, 160, 69, 177, 57, 165, 78, 186, 107, 215, 83, 191)(217, 325, 219, 327)(218, 326, 224, 332)(220, 328, 230, 338)(221, 329, 234, 342)(222, 330, 228, 336)(223, 331, 242, 350)(225, 333, 248, 356)(226, 334, 246, 354)(227, 335, 256, 364)(229, 337, 262, 370)(231, 339, 268, 376)(232, 340, 247, 355)(233, 341, 273, 381)(235, 343, 263, 371)(236, 344, 255, 363)(237, 345, 277, 385)(238, 346, 265, 373)(239, 347, 281, 389)(240, 348, 260, 368)(241, 349, 282, 390)(243, 351, 287, 395)(244, 352, 285, 393)(245, 353, 293, 401)(249, 357, 302, 410)(250, 358, 286, 394)(251, 359, 305, 413)(252, 360, 300, 408)(253, 361, 308, 416)(254, 362, 297, 405)(257, 365, 283, 391)(258, 366, 306, 414)(259, 367, 312, 420)(261, 369, 291, 399)(264, 372, 307, 415)(266, 374, 289, 397)(267, 375, 309, 417)(269, 377, 298, 406)(270, 378, 314, 422)(271, 379, 299, 407)(272, 380, 311, 419)(274, 382, 315, 423)(275, 383, 313, 421)(276, 384, 288, 396)(278, 386, 296, 404)(279, 387, 294, 402)(280, 388, 295, 403)(284, 392, 317, 425)(290, 398, 322, 430)(292, 400, 320, 428)(301, 409, 318, 426)(303, 411, 321, 429)(304, 412, 324, 432)(310, 418, 319, 427)(316, 424, 323, 431)
	L = (1, 220)(2, 225)(3, 228)(4, 232)(5, 235)(6, 217)(7, 243)(8, 246)(9, 250)(10, 218)(11, 257)(12, 260)(13, 263)(14, 219)(15, 249)(16, 271)(17, 252)(18, 277)(19, 262)(20, 279)(21, 221)(22, 251)(23, 253)(24, 222)(25, 283)(26, 285)(27, 288)(28, 223)(29, 294)(30, 297)(31, 230)(32, 224)(33, 239)(34, 303)(35, 290)(36, 289)(37, 291)(38, 226)(39, 309)(40, 306)(41, 282)(42, 227)(43, 310)(44, 299)(45, 308)(46, 307)(47, 234)(48, 229)(49, 296)(50, 300)(51, 236)(52, 298)(53, 231)(54, 237)(55, 240)(56, 284)(57, 313)(58, 292)(59, 233)(60, 287)(61, 314)(62, 238)(63, 293)(64, 304)(65, 302)(66, 317)(67, 256)(68, 241)(69, 320)(70, 248)(71, 242)(72, 274)(73, 319)(74, 318)(75, 269)(76, 244)(77, 280)(78, 255)(79, 245)(80, 323)(81, 321)(82, 261)(83, 247)(84, 273)(85, 322)(86, 268)(87, 254)(88, 267)(89, 265)(90, 272)(91, 270)(92, 281)(93, 324)(94, 266)(95, 258)(96, 275)(97, 259)(98, 264)(99, 276)(100, 278)(101, 311)(102, 316)(103, 312)(104, 315)(105, 286)(106, 305)(107, 301)(108, 295)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2244
Graph:: simple bipartite
	v = 72 e = 216 f = 90
	degree seq :: [ 4^54, 12^18 ]

E28.2253 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3^-1 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1^-2)^2, (Y3^2 * Y1^-1)^2, Y1^6, Y2 * Y1 * Y2 * Y3^-2 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y3^6, Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1, (Y3^-1 * Y1^-1)^3, Y3 * Y2 * Y3^-3 * Y2 * Y3^2, Y3^2 * Y1 * Y3^2 * Y1^-3, Y3^-1 * Y1^-1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2, Y3^-1 * Y1^-2 * Y2 * Y3 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1^-1 * R * Y2 * R * Y1^3, Y3^-1 * Y1^2 * Y2 * Y3^-1 * Y1 * Y2 * Y1^-1, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1 * Y1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110, 7, 115, 25, 133, 20, 128, 5, 113)(3, 111, 11, 119, 39, 147, 70, 178, 26, 134, 13, 121)(4, 112, 15, 123, 50, 158, 75, 183, 28, 136, 17, 125)(6, 114, 22, 130, 60, 168, 99, 207, 65, 173, 23, 131)(8, 116, 29, 137, 18, 126, 49, 157, 66, 174, 31, 139)(9, 117, 33, 141, 86, 194, 103, 211, 68, 176, 35, 143)(10, 118, 36, 144, 19, 127, 58, 166, 92, 200, 37, 145)(12, 120, 41, 149, 77, 185, 107, 215, 82, 190, 43, 151)(14, 122, 47, 155, 69, 177, 64, 172, 83, 191, 48, 156)(16, 124, 53, 161, 73, 181, 63, 171, 81, 189, 38, 146)(21, 129, 62, 170, 67, 175, 102, 210, 89, 197, 52, 160)(24, 132, 59, 167, 76, 184, 34, 142, 88, 196, 44, 152)(27, 135, 72, 180, 54, 162, 100, 208, 61, 169, 74, 182)(30, 138, 78, 186, 46, 154, 97, 205, 57, 165, 80, 188)(32, 140, 84, 192, 101, 209, 91, 199, 105, 213, 85, 193)(40, 148, 94, 202, 45, 153, 87, 195, 56, 164, 90, 198)(42, 150, 95, 203, 108, 216, 98, 206, 104, 212, 79, 187)(51, 159, 93, 201, 55, 163, 96, 204, 106, 214, 71, 179)(217, 325, 219, 327)(218, 326, 224, 332)(220, 328, 230, 338)(221, 329, 234, 342)(222, 330, 228, 336)(223, 331, 242, 350)(225, 333, 248, 356)(226, 334, 246, 354)(227, 335, 250, 358)(229, 337, 260, 368)(231, 339, 267, 375)(232, 340, 265, 373)(233, 341, 271, 379)(235, 343, 273, 381)(236, 344, 255, 363)(237, 345, 272, 380)(238, 346, 280, 388)(239, 347, 264, 372)(240, 348, 258, 366)(241, 349, 282, 390)(243, 351, 287, 395)(244, 352, 285, 393)(245, 353, 289, 397)(247, 355, 297, 405)(249, 357, 303, 411)(251, 359, 306, 414)(252, 360, 307, 415)(253, 361, 301, 409)(254, 362, 295, 403)(256, 364, 305, 413)(257, 365, 290, 398)(259, 367, 288, 396)(261, 369, 283, 391)(262, 370, 308, 416)(263, 371, 315, 423)(266, 374, 299, 407)(268, 376, 313, 421)(269, 377, 314, 422)(270, 378, 312, 420)(274, 382, 300, 408)(275, 383, 286, 394)(276, 384, 298, 406)(277, 385, 309, 417)(278, 386, 294, 402)(279, 387, 311, 419)(281, 389, 293, 401)(284, 392, 317, 425)(291, 399, 322, 430)(292, 400, 320, 428)(296, 404, 318, 426)(302, 410, 321, 429)(304, 412, 324, 432)(310, 418, 319, 427)(316, 424, 323, 431)
	L = (1, 220)(2, 225)(3, 228)(4, 232)(5, 235)(6, 217)(7, 243)(8, 246)(9, 250)(10, 218)(11, 248)(12, 258)(13, 261)(14, 219)(15, 268)(16, 270)(17, 252)(18, 272)(19, 275)(20, 276)(21, 221)(22, 278)(23, 274)(24, 222)(25, 283)(26, 285)(27, 289)(28, 223)(29, 287)(30, 295)(31, 298)(32, 224)(33, 239)(34, 305)(35, 233)(36, 238)(37, 231)(38, 226)(39, 309)(40, 227)(41, 294)(42, 312)(43, 310)(44, 308)(45, 282)(46, 229)(47, 313)(48, 303)(49, 230)(50, 304)(51, 301)(52, 315)(53, 284)(54, 240)(55, 306)(56, 311)(57, 234)(58, 316)(59, 302)(60, 297)(61, 236)(62, 290)(63, 237)(64, 307)(65, 292)(66, 317)(67, 260)(68, 241)(69, 320)(70, 273)(71, 242)(72, 253)(73, 281)(74, 251)(75, 249)(76, 244)(77, 245)(78, 280)(79, 256)(80, 323)(81, 266)(82, 255)(83, 247)(84, 264)(85, 259)(86, 279)(87, 322)(88, 277)(89, 254)(90, 257)(91, 271)(92, 269)(93, 324)(94, 263)(95, 321)(96, 265)(97, 267)(98, 262)(99, 319)(100, 318)(101, 314)(102, 291)(103, 288)(104, 293)(105, 286)(106, 296)(107, 300)(108, 299)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2235
Graph:: simple bipartite
	v = 72 e = 216 f = 90
	degree seq :: [ 4^54, 12^18 ]

E28.2254 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y2)^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3 * Y2 * Y1 * Y2, Y2 * Y1 * Y2 * Y1^-1 * Y3 * Y1^-1, Y1^6, Y2 * Y1^2 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y1^-2, Y2 * Y1^-3 * Y3 * Y1^3 * Y2 * Y1^-3 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110, 6, 114, 17, 125, 16, 124, 5, 113)(3, 111, 9, 117, 25, 133, 47, 155, 29, 137, 11, 119)(4, 112, 12, 120, 30, 138, 55, 163, 31, 139, 13, 121)(7, 115, 20, 128, 43, 151, 71, 179, 44, 152, 22, 130)(8, 116, 23, 131, 45, 153, 76, 184, 46, 154, 24, 132)(10, 118, 26, 134, 50, 158, 63, 171, 39, 147, 21, 129)(14, 122, 28, 136, 52, 160, 84, 192, 58, 166, 32, 140)(15, 123, 33, 141, 59, 167, 83, 191, 51, 159, 27, 135)(18, 126, 38, 146, 67, 175, 97, 205, 68, 176, 40, 148)(19, 127, 41, 149, 69, 177, 102, 210, 70, 178, 42, 150)(34, 142, 57, 165, 88, 196, 104, 212, 91, 199, 60, 168)(35, 143, 61, 169, 92, 200, 103, 211, 87, 195, 56, 164)(36, 144, 62, 170, 93, 201, 78, 186, 94, 202, 64, 172)(37, 145, 65, 173, 95, 203, 77, 185, 96, 204, 66, 174)(48, 156, 79, 187, 98, 206, 89, 197, 107, 215, 74, 182)(49, 157, 75, 183, 108, 216, 90, 198, 99, 207, 80, 188)(53, 161, 82, 190, 100, 208, 72, 180, 105, 213, 85, 193)(54, 162, 86, 194, 106, 214, 73, 181, 101, 209, 81, 189)(217, 325, 219, 327)(218, 326, 223, 331)(220, 328, 226, 334)(221, 329, 230, 338)(222, 330, 234, 342)(224, 332, 237, 345)(225, 333, 239, 347)(227, 335, 243, 351)(228, 336, 244, 352)(229, 337, 238, 346)(231, 339, 242, 350)(232, 340, 250, 358)(233, 341, 252, 360)(235, 343, 255, 363)(236, 344, 257, 365)(240, 348, 256, 364)(241, 349, 264, 372)(245, 353, 269, 377)(246, 354, 270, 378)(247, 355, 265, 373)(248, 356, 272, 380)(249, 357, 273, 381)(251, 359, 266, 374)(253, 361, 279, 387)(254, 362, 281, 389)(258, 366, 280, 388)(259, 367, 288, 396)(260, 368, 290, 398)(261, 369, 291, 399)(262, 370, 289, 397)(263, 371, 293, 401)(267, 375, 297, 405)(268, 376, 298, 406)(271, 379, 294, 402)(274, 382, 305, 413)(275, 383, 306, 414)(276, 384, 282, 390)(277, 385, 278, 386)(283, 391, 314, 422)(284, 392, 316, 424)(285, 393, 317, 425)(286, 394, 315, 423)(287, 395, 319, 427)(292, 400, 320, 428)(295, 403, 310, 418)(296, 404, 311, 419)(299, 407, 313, 421)(300, 408, 318, 426)(301, 409, 309, 417)(302, 410, 312, 420)(303, 411, 324, 432)(304, 412, 323, 431)(307, 415, 321, 429)(308, 416, 322, 430)
	L = (1, 220)(2, 224)(3, 226)(4, 217)(5, 231)(6, 235)(7, 237)(8, 218)(9, 238)(10, 219)(11, 244)(12, 243)(13, 239)(14, 242)(15, 221)(16, 251)(17, 253)(18, 255)(19, 222)(20, 256)(21, 223)(22, 225)(23, 229)(24, 257)(25, 265)(26, 230)(27, 228)(28, 227)(29, 270)(30, 269)(31, 264)(32, 273)(33, 272)(34, 266)(35, 232)(36, 279)(37, 233)(38, 280)(39, 234)(40, 236)(41, 240)(42, 281)(43, 289)(44, 291)(45, 290)(46, 288)(47, 294)(48, 247)(49, 241)(50, 250)(51, 298)(52, 297)(53, 246)(54, 245)(55, 293)(56, 249)(57, 248)(58, 306)(59, 305)(60, 278)(61, 282)(62, 276)(63, 252)(64, 254)(65, 258)(66, 277)(67, 315)(68, 317)(69, 316)(70, 314)(71, 320)(72, 262)(73, 259)(74, 261)(75, 260)(76, 319)(77, 271)(78, 263)(79, 311)(80, 310)(81, 268)(82, 267)(83, 318)(84, 313)(85, 312)(86, 309)(87, 323)(88, 324)(89, 275)(90, 274)(91, 322)(92, 321)(93, 302)(94, 296)(95, 295)(96, 301)(97, 300)(98, 286)(99, 283)(100, 285)(101, 284)(102, 299)(103, 292)(104, 287)(105, 308)(106, 307)(107, 303)(108, 304)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2239
Graph:: simple bipartite
	v = 72 e = 216 f = 90
	degree seq :: [ 4^54, 12^18 ]

E28.2255 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y2 * Y3^-1)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-2 * Y1^-1)^2, Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3 * Y1, (Y1^-1 * Y3)^3, (Y1^-1 * Y3^-1)^3, (Y1^-2 * Y3^-1)^2, Y2 * Y1 * Y3^-1 * Y1^-1 * Y2 * Y1^-1, Y3^6, (R * Y2 * Y3^-1)^2, Y1^6, (Y3^-1 * Y2 * Y1^-2)^2, Y2 * Y3 * Y1 * Y3^-1 * Y2 * Y3^2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110, 7, 115, 25, 133, 20, 128, 5, 113)(3, 111, 11, 119, 39, 147, 83, 191, 45, 153, 13, 121)(4, 112, 15, 123, 49, 157, 98, 206, 56, 164, 17, 125)(6, 114, 22, 130, 63, 171, 73, 181, 27, 135, 23, 131)(8, 116, 29, 137, 77, 185, 108, 216, 82, 190, 31, 139)(9, 117, 33, 141, 21, 129, 57, 165, 88, 196, 35, 143)(10, 118, 36, 144, 89, 197, 103, 211, 66, 174, 37, 145)(12, 120, 41, 149, 91, 199, 107, 215, 69, 177, 43, 151)(14, 122, 47, 155, 97, 205, 102, 210, 71, 179, 32, 140)(16, 124, 52, 160, 72, 180, 38, 146, 90, 198, 54, 162)(18, 126, 40, 148, 84, 192, 46, 154, 94, 202, 55, 163)(19, 127, 51, 159, 67, 175, 104, 212, 86, 194, 60, 168)(24, 132, 64, 172, 76, 184, 59, 167, 87, 195, 34, 142)(26, 134, 68, 176, 105, 213, 93, 201, 42, 150, 70, 178)(28, 136, 74, 182, 53, 161, 99, 207, 62, 170, 75, 183)(30, 138, 78, 186, 58, 166, 92, 200, 100, 208, 80, 188)(44, 152, 79, 187, 101, 209, 65, 173, 50, 158, 96, 204)(48, 156, 81, 189, 106, 214, 95, 203, 61, 169, 85, 193)(217, 325, 219, 327)(218, 326, 224, 332)(220, 328, 230, 338)(221, 329, 234, 342)(222, 330, 228, 336)(223, 331, 242, 350)(225, 333, 248, 356)(226, 334, 246, 354)(227, 335, 253, 361)(229, 337, 251, 359)(231, 339, 266, 374)(232, 340, 264, 372)(233, 341, 271, 379)(235, 343, 263, 371)(236, 344, 277, 385)(237, 345, 274, 382)(238, 346, 260, 368)(239, 347, 256, 364)(240, 348, 258, 366)(241, 349, 281, 389)(243, 351, 287, 395)(244, 352, 285, 393)(245, 353, 291, 399)(247, 355, 289, 397)(249, 357, 301, 409)(250, 358, 300, 408)(252, 360, 297, 405)(254, 362, 295, 403)(255, 363, 288, 396)(257, 365, 302, 410)(259, 367, 304, 412)(261, 369, 303, 411)(262, 370, 290, 398)(265, 373, 307, 415)(267, 375, 284, 392)(268, 376, 298, 406)(269, 377, 308, 416)(270, 378, 310, 418)(272, 380, 294, 402)(273, 381, 309, 417)(275, 383, 312, 420)(276, 384, 311, 419)(278, 386, 313, 421)(279, 387, 296, 404)(280, 388, 293, 401)(282, 390, 318, 426)(283, 391, 316, 424)(286, 394, 319, 427)(292, 400, 322, 430)(299, 407, 320, 428)(305, 413, 323, 431)(306, 414, 321, 429)(314, 422, 324, 432)(315, 423, 317, 425)
	L = (1, 220)(2, 225)(3, 228)(4, 232)(5, 235)(6, 217)(7, 243)(8, 246)(9, 250)(10, 218)(11, 256)(12, 258)(13, 260)(14, 219)(15, 249)(16, 269)(17, 252)(18, 274)(19, 275)(20, 278)(21, 221)(22, 251)(23, 253)(24, 222)(25, 282)(26, 285)(27, 288)(28, 223)(29, 227)(30, 295)(31, 297)(32, 224)(33, 239)(34, 302)(35, 290)(36, 289)(37, 291)(38, 226)(39, 287)(40, 301)(41, 300)(42, 308)(43, 293)(44, 311)(45, 296)(46, 229)(47, 234)(48, 230)(49, 236)(50, 284)(51, 231)(52, 237)(53, 240)(54, 283)(55, 309)(56, 292)(57, 233)(58, 298)(59, 305)(60, 238)(61, 307)(62, 306)(63, 303)(64, 304)(65, 316)(66, 280)(67, 241)(68, 245)(69, 322)(70, 262)(71, 242)(72, 272)(73, 320)(74, 319)(75, 267)(76, 244)(77, 318)(78, 255)(79, 257)(80, 321)(81, 271)(82, 323)(83, 247)(84, 248)(85, 266)(86, 254)(87, 265)(88, 270)(89, 268)(90, 279)(91, 261)(92, 264)(93, 317)(94, 259)(95, 324)(96, 263)(97, 277)(98, 276)(99, 273)(100, 310)(101, 299)(102, 281)(103, 314)(104, 315)(105, 313)(106, 294)(107, 312)(108, 286)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2243
Graph:: simple bipartite
	v = 72 e = 216 f = 90
	degree seq :: [ 4^54, 12^18 ]

E28.2256 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y1^-1)^3, Y2 * Y1 * Y2 * Y1^-1 * Y3^-1 * Y1, Y1^6, (Y1^-1 * Y3 * Y1^-1)^2, Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, (Y3^-1 * Y1^-1)^3, Y3^6, Y3^-1 * Y2 * Y3^2 * Y1 * Y3^-1 * Y2 * Y1^-1, Y3 * Y1^2 * Y2 * Y1 * Y3^-1 * Y2 * Y1, Y3^3 * Y1^-2 * Y3^-1 * Y1^-2, Y2 * Y3^-2 * Y1^2 * Y2 * Y1^-2, Y3^-1 * Y1^-1 * Y3 * Y1^3 * Y3 * Y1^-1, Y3 * Y2 * Y1^-1 * Y3^-1 * R * Y2 * R * Y1^-1, Y3 * Y2 * Y1^-1 * R * Y2 * R * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110, 7, 115, 25, 133, 20, 128, 5, 113)(3, 111, 11, 119, 39, 147, 91, 199, 47, 155, 13, 121)(4, 112, 15, 123, 51, 159, 75, 183, 28, 136, 17, 125)(6, 114, 22, 130, 60, 168, 99, 207, 63, 171, 23, 131)(8, 116, 29, 137, 77, 185, 42, 150, 83, 191, 31, 139)(9, 117, 33, 141, 85, 193, 104, 212, 67, 175, 35, 143)(10, 118, 36, 144, 19, 127, 40, 148, 89, 197, 37, 145)(12, 120, 43, 151, 96, 204, 107, 215, 69, 177, 45, 153)(14, 122, 49, 157, 98, 206, 102, 210, 71, 179, 32, 140)(16, 124, 53, 161, 73, 181, 62, 170, 90, 198, 38, 146)(18, 126, 56, 164, 81, 189, 106, 214, 97, 205, 48, 156)(21, 129, 46, 154, 66, 174, 103, 211, 87, 195, 52, 160)(24, 132, 58, 166, 76, 184, 34, 142, 86, 194, 64, 172)(26, 134, 68, 176, 105, 213, 79, 187, 50, 158, 70, 178)(27, 135, 72, 180, 54, 162, 93, 201, 61, 169, 74, 182)(30, 138, 80, 188, 57, 165, 92, 200, 101, 209, 82, 190)(41, 149, 84, 192, 55, 163, 65, 173, 100, 208, 94, 202)(44, 152, 78, 186, 108, 216, 88, 196, 59, 167, 95, 203)(217, 325, 219, 327)(218, 326, 224, 332)(220, 328, 230, 338)(221, 329, 234, 342)(222, 330, 228, 336)(223, 331, 242, 350)(225, 333, 248, 356)(226, 334, 246, 354)(227, 335, 256, 364)(229, 337, 262, 370)(231, 339, 245, 353)(232, 340, 266, 374)(233, 341, 271, 379)(235, 343, 265, 373)(236, 344, 275, 383)(237, 345, 273, 381)(238, 346, 247, 355)(239, 347, 257, 365)(240, 348, 260, 368)(241, 349, 281, 389)(243, 351, 287, 395)(244, 352, 285, 393)(249, 357, 284, 392)(250, 358, 300, 408)(251, 359, 304, 412)(252, 360, 286, 394)(253, 361, 294, 402)(254, 362, 297, 405)(255, 363, 292, 400)(258, 366, 309, 417)(259, 367, 305, 413)(261, 369, 301, 409)(263, 371, 306, 414)(264, 372, 290, 398)(267, 375, 296, 404)(268, 376, 295, 403)(269, 377, 293, 401)(270, 378, 298, 406)(272, 380, 315, 423)(274, 382, 299, 407)(276, 384, 314, 422)(277, 385, 312, 420)(278, 386, 310, 418)(279, 387, 308, 416)(280, 388, 313, 421)(282, 390, 318, 426)(283, 391, 317, 425)(288, 396, 316, 424)(289, 397, 324, 432)(291, 399, 322, 430)(302, 410, 321, 429)(303, 411, 323, 431)(307, 415, 320, 428)(311, 419, 319, 427)
	L = (1, 220)(2, 225)(3, 228)(4, 232)(5, 235)(6, 217)(7, 243)(8, 246)(9, 250)(10, 218)(11, 257)(12, 260)(13, 247)(14, 219)(15, 268)(16, 270)(17, 252)(18, 273)(19, 274)(20, 276)(21, 221)(22, 262)(23, 256)(24, 222)(25, 282)(26, 285)(27, 289)(28, 223)(29, 294)(30, 297)(31, 286)(32, 224)(33, 239)(34, 303)(35, 233)(36, 238)(37, 231)(38, 226)(39, 308)(40, 309)(41, 284)(42, 227)(43, 313)(44, 298)(45, 299)(46, 290)(47, 314)(48, 229)(49, 234)(50, 230)(51, 302)(52, 315)(53, 283)(54, 240)(55, 304)(56, 295)(57, 310)(58, 301)(59, 312)(60, 306)(61, 236)(62, 237)(63, 292)(64, 305)(65, 317)(66, 280)(67, 241)(68, 322)(69, 255)(70, 271)(71, 242)(72, 253)(73, 279)(74, 251)(75, 249)(76, 244)(77, 259)(78, 316)(79, 245)(80, 263)(81, 323)(82, 266)(83, 265)(84, 248)(85, 278)(86, 277)(87, 254)(88, 264)(89, 269)(90, 267)(91, 272)(92, 324)(93, 319)(94, 261)(95, 258)(96, 321)(97, 318)(98, 275)(99, 320)(100, 307)(101, 293)(102, 281)(103, 291)(104, 288)(105, 296)(106, 311)(107, 300)(108, 287)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2234
Graph:: simple bipartite
	v = 72 e = 216 f = 90
	degree seq :: [ 4^54, 12^18 ]

E28.2257 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 28>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^3, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y3)^2, (Y1 * Y3)^2, Y2^6, Y2 * Y1 * Y2 * Y1 * Y2^-2 * Y1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1, Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110, 5, 113)(3, 111, 10, 118, 13, 121)(4, 112, 14, 122, 8, 116)(6, 114, 18, 126, 19, 127)(7, 115, 21, 129, 24, 132)(9, 117, 26, 134, 27, 135)(11, 119, 32, 140, 35, 143)(12, 120, 36, 144, 30, 138)(15, 123, 41, 149, 43, 151)(16, 124, 44, 152, 46, 154)(17, 125, 47, 155, 48, 156)(20, 128, 54, 162, 55, 163)(22, 130, 37, 145, 59, 167)(23, 131, 60, 168, 56, 164)(25, 133, 63, 171, 65, 173)(28, 136, 53, 161, 68, 176)(29, 137, 45, 153, 61, 169)(31, 139, 52, 160, 66, 174)(33, 141, 57, 165, 75, 183)(34, 142, 76, 184, 73, 181)(38, 146, 62, 170, 50, 158)(39, 147, 81, 189, 83, 191)(40, 148, 84, 192, 85, 193)(42, 150, 89, 197, 90, 198)(49, 157, 67, 175, 51, 159)(58, 166, 94, 202, 79, 187)(64, 172, 101, 209, 87, 195)(69, 177, 77, 185, 95, 203)(70, 178, 97, 205, 86, 194)(71, 179, 100, 208, 88, 196)(72, 180, 80, 188, 98, 206)(74, 182, 104, 212, 93, 201)(78, 186, 92, 200, 96, 204)(82, 190, 91, 199, 99, 207)(102, 210, 107, 215, 105, 213)(103, 211, 108, 216, 106, 214)(217, 325, 219, 327, 227, 335, 249, 357, 236, 344, 222, 330)(218, 326, 223, 331, 238, 346, 273, 381, 244, 352, 225, 333)(220, 328, 231, 339, 258, 366, 290, 398, 250, 358, 228, 336)(221, 329, 232, 340, 261, 369, 291, 399, 265, 373, 233, 341)(224, 332, 241, 349, 280, 388, 309, 417, 274, 382, 239, 347)(226, 334, 245, 353, 285, 393, 270, 378, 264, 372, 247, 355)(229, 337, 253, 361, 296, 404, 271, 379, 242, 350, 254, 362)(230, 338, 255, 363, 298, 406, 320, 428, 302, 410, 256, 364)(234, 342, 266, 374, 262, 370, 248, 356, 288, 396, 267, 375)(235, 343, 268, 376, 237, 345, 251, 359, 293, 401, 269, 377)(240, 348, 277, 385, 314, 422, 284, 392, 263, 371, 278, 386)(243, 351, 282, 390, 260, 368, 275, 383, 311, 419, 283, 391)(246, 354, 287, 395, 297, 405, 306, 414, 318, 426, 286, 394)(252, 360, 294, 402, 281, 389, 305, 413, 322, 430, 295, 403)(257, 365, 303, 411, 321, 429, 292, 400, 272, 380, 304, 412)(259, 367, 307, 415, 319, 427, 289, 397, 300, 408, 308, 416)(276, 384, 312, 420, 299, 407, 317, 425, 324, 432, 313, 421)(279, 387, 315, 423, 323, 431, 310, 418, 301, 409, 316, 424)
	L = (1, 220)(2, 224)(3, 228)(4, 217)(5, 230)(6, 231)(7, 239)(8, 218)(9, 241)(10, 246)(11, 250)(12, 219)(13, 252)(14, 221)(15, 222)(16, 256)(17, 255)(18, 259)(19, 257)(20, 258)(21, 272)(22, 274)(23, 223)(24, 276)(25, 225)(26, 281)(27, 279)(28, 280)(29, 286)(30, 226)(31, 287)(32, 289)(33, 290)(34, 227)(35, 292)(36, 229)(37, 295)(38, 294)(39, 233)(40, 232)(41, 235)(42, 236)(43, 234)(44, 301)(45, 302)(46, 300)(47, 299)(48, 297)(49, 298)(50, 308)(51, 307)(52, 304)(53, 303)(54, 306)(55, 305)(56, 237)(57, 309)(58, 238)(59, 310)(60, 240)(61, 313)(62, 312)(63, 243)(64, 244)(65, 242)(66, 316)(67, 315)(68, 317)(69, 318)(70, 245)(71, 247)(72, 319)(73, 248)(74, 249)(75, 320)(76, 251)(77, 321)(78, 254)(79, 253)(80, 322)(81, 264)(82, 265)(83, 263)(84, 262)(85, 260)(86, 261)(87, 269)(88, 268)(89, 271)(90, 270)(91, 267)(92, 266)(93, 273)(94, 275)(95, 323)(96, 278)(97, 277)(98, 324)(99, 283)(100, 282)(101, 284)(102, 285)(103, 288)(104, 291)(105, 293)(106, 296)(107, 311)(108, 314)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4^6 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2232
Graph:: simple bipartite
	v = 54 e = 216 f = 108
	degree seq :: [ 6^36, 12^18 ]

E28.2258 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y2^-1, Y3^-1), (Y2 * Y3^-1)^2, (Y2 * R)^2, (R * Y1)^2, (Y3, Y2^-1), (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y1 * Y2^-1 * Y3 * Y2 * Y1 * Y3, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-3, (Y1 * Y2^-1 * Y3^-1)^2, Y2 * Y1 * Y2^-2 * Y1 * Y2 * Y1, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1, Y2 * Y1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110, 5, 113)(3, 111, 12, 120, 15, 123)(4, 112, 17, 125, 18, 126)(6, 114, 22, 130, 23, 131)(7, 115, 26, 134, 9, 117)(8, 116, 27, 135, 30, 138)(10, 118, 32, 140, 33, 141)(11, 119, 36, 144, 20, 128)(13, 121, 41, 149, 44, 152)(14, 122, 45, 153, 35, 143)(16, 124, 49, 157, 38, 146)(19, 127, 56, 164, 59, 167)(21, 129, 60, 168, 61, 169)(24, 132, 67, 175, 68, 176)(25, 133, 58, 166, 63, 171)(28, 136, 46, 154, 73, 181)(29, 137, 74, 182, 51, 159)(31, 139, 78, 186, 70, 178)(34, 142, 66, 174, 82, 190)(37, 145, 57, 165, 75, 183)(39, 147, 64, 172, 79, 187)(40, 148, 83, 191, 47, 155)(42, 150, 71, 179, 90, 198)(43, 151, 91, 199, 87, 195)(48, 156, 77, 185, 62, 170)(50, 158, 98, 206, 99, 207)(52, 160, 81, 189, 54, 162)(53, 161, 76, 184, 65, 173)(55, 163, 80, 188, 69, 177)(72, 180, 102, 210, 97, 205)(84, 192, 92, 200, 103, 211)(85, 193, 105, 213, 95, 203)(86, 194, 108, 216, 100, 208)(88, 196, 96, 204, 107, 215)(89, 197, 106, 214, 93, 201)(94, 202, 101, 209, 104, 212)(217, 325, 219, 327, 229, 337, 258, 366, 240, 348, 222, 330)(218, 326, 224, 332, 244, 352, 287, 395, 250, 358, 226, 334)(220, 328, 230, 338, 259, 367, 241, 349, 223, 331, 232, 340)(221, 329, 235, 343, 273, 381, 306, 414, 268, 376, 237, 345)(225, 333, 245, 353, 288, 396, 251, 359, 227, 335, 247, 355)(228, 336, 253, 361, 300, 408, 283, 391, 277, 385, 255, 363)(231, 339, 262, 370, 312, 420, 284, 392, 248, 356, 264, 372)(233, 341, 266, 374, 236, 344, 274, 382, 316, 424, 267, 375)(234, 342, 269, 377, 317, 425, 279, 387, 305, 413, 271, 379)(238, 346, 278, 386, 275, 383, 257, 365, 304, 412, 270, 378)(239, 347, 280, 388, 243, 351, 260, 368, 308, 416, 282, 390)(242, 350, 285, 393, 311, 419, 261, 369, 310, 418, 263, 371)(246, 354, 291, 399, 323, 431, 298, 406, 276, 384, 293, 401)(249, 357, 295, 403, 272, 380, 289, 397, 319, 427, 297, 405)(252, 360, 299, 407, 322, 430, 290, 398, 321, 429, 292, 400)(254, 362, 301, 409, 314, 422, 303, 411, 256, 364, 302, 410)(265, 373, 313, 421, 281, 389, 307, 415, 286, 394, 309, 417)(294, 402, 324, 432, 296, 404, 318, 426, 315, 423, 320, 428)
	L = (1, 220)(2, 225)(3, 230)(4, 229)(5, 236)(6, 232)(7, 217)(8, 245)(9, 244)(10, 247)(11, 218)(12, 254)(13, 259)(14, 258)(15, 263)(16, 219)(17, 221)(18, 270)(19, 274)(20, 273)(21, 266)(22, 279)(23, 281)(24, 223)(25, 222)(26, 284)(27, 286)(28, 288)(29, 287)(30, 292)(31, 224)(32, 261)(33, 296)(34, 227)(35, 226)(36, 298)(37, 301)(38, 300)(39, 302)(40, 228)(41, 234)(42, 241)(43, 240)(44, 309)(45, 231)(46, 242)(47, 312)(48, 310)(49, 239)(50, 235)(51, 237)(52, 233)(53, 238)(54, 317)(55, 304)(56, 315)(57, 316)(58, 306)(59, 271)(60, 290)(61, 256)(62, 305)(63, 275)(64, 307)(65, 243)(66, 313)(67, 303)(68, 311)(69, 248)(70, 308)(71, 251)(72, 250)(73, 320)(74, 246)(75, 252)(76, 323)(77, 321)(78, 249)(79, 318)(80, 272)(81, 324)(82, 322)(83, 276)(84, 314)(85, 283)(86, 253)(87, 255)(88, 269)(89, 257)(90, 267)(91, 260)(92, 265)(93, 282)(94, 262)(95, 264)(96, 285)(97, 280)(98, 277)(99, 319)(100, 268)(101, 278)(102, 289)(103, 294)(104, 297)(105, 291)(106, 293)(107, 299)(108, 295)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4^6 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2231
Graph:: simple bipartite
	v = 54 e = 216 f = 108
	degree seq :: [ 6^36, 12^18 ]

E28.2259 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-2, Y1^3, (Y3 * Y2^-1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^6, (Y3 * Y2^2)^2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1, Y2 * Y1 * Y2^-2 * Y1 * Y2 * Y1, Y2^-1 * Y1 * Y2 * Y3 * Y2 * Y1^-1 * Y2^-1 * Y3^-1, Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110, 5, 113)(3, 111, 11, 119, 14, 122)(4, 112, 9, 117, 7, 115)(6, 114, 19, 127, 21, 129)(8, 116, 25, 133, 28, 136)(10, 118, 31, 139, 32, 140)(12, 120, 38, 146, 41, 149)(13, 121, 36, 144, 15, 123)(16, 124, 47, 155, 34, 142)(17, 125, 49, 157, 52, 160)(18, 126, 53, 161, 54, 162)(20, 128, 58, 166, 23, 131)(22, 130, 63, 171, 65, 173)(24, 132, 51, 159, 66, 174)(26, 134, 44, 152, 69, 177)(27, 135, 67, 175, 29, 137)(30, 138, 75, 183, 56, 164)(33, 141, 62, 170, 80, 188)(35, 143, 50, 158, 72, 180)(37, 145, 61, 169, 77, 185)(39, 147, 68, 176, 89, 197)(40, 148, 87, 195, 42, 150)(43, 151, 71, 179, 85, 193)(45, 153, 73, 181, 57, 165)(46, 154, 94, 202, 70, 178)(48, 156, 64, 172, 97, 205)(55, 163, 78, 186, 59, 167)(60, 168, 98, 206, 96, 204)(74, 182, 83, 191, 82, 190)(76, 184, 79, 187, 100, 208)(81, 189, 91, 199, 102, 210)(84, 192, 99, 207, 95, 203)(86, 194, 93, 201, 104, 212)(88, 196, 101, 209, 90, 198)(92, 200, 103, 211, 105, 213)(106, 214, 108, 216, 107, 215)(217, 325, 219, 327, 228, 336, 255, 363, 238, 346, 222, 330)(218, 326, 224, 332, 242, 350, 284, 392, 249, 357, 226, 334)(220, 328, 232, 340, 264, 372, 304, 412, 262, 370, 231, 339)(221, 329, 233, 341, 266, 374, 305, 413, 271, 379, 234, 342)(223, 331, 236, 344, 276, 384, 306, 414, 256, 364, 240, 348)(225, 333, 246, 354, 292, 400, 317, 425, 290, 398, 245, 353)(227, 335, 251, 359, 297, 405, 279, 387, 270, 378, 253, 361)(229, 337, 259, 367, 239, 347, 280, 388, 308, 416, 258, 366)(230, 338, 260, 368, 309, 417, 281, 389, 247, 355, 261, 369)(235, 343, 273, 381, 268, 376, 254, 362, 302, 410, 275, 383)(237, 345, 277, 385, 241, 349, 257, 365, 307, 415, 278, 386)(243, 351, 287, 395, 250, 358, 295, 403, 319, 427, 286, 394)(244, 352, 288, 396, 320, 428, 296, 404, 269, 377, 289, 397)(248, 356, 293, 401, 265, 373, 285, 393, 318, 426, 294, 402)(252, 360, 300, 408, 291, 399, 313, 421, 322, 430, 299, 407)(263, 371, 312, 420, 323, 431, 310, 418, 282, 390, 311, 419)(267, 375, 301, 409, 272, 380, 314, 422, 321, 429, 298, 406)(274, 382, 316, 424, 324, 432, 303, 411, 283, 391, 315, 423)
	L = (1, 220)(2, 225)(3, 229)(4, 218)(5, 223)(6, 236)(7, 217)(8, 243)(9, 221)(10, 232)(11, 252)(12, 256)(13, 227)(14, 231)(15, 219)(16, 247)(17, 267)(18, 246)(19, 274)(20, 235)(21, 239)(22, 280)(23, 222)(24, 233)(25, 283)(26, 262)(27, 241)(28, 245)(29, 224)(30, 269)(31, 263)(32, 250)(33, 295)(34, 226)(35, 298)(36, 230)(37, 259)(38, 303)(39, 304)(40, 254)(41, 258)(42, 228)(43, 277)(44, 310)(45, 300)(46, 260)(47, 248)(48, 238)(49, 282)(50, 290)(51, 265)(52, 240)(53, 291)(54, 272)(55, 314)(56, 234)(57, 311)(58, 237)(59, 276)(60, 271)(61, 287)(62, 316)(63, 313)(64, 279)(65, 264)(66, 268)(67, 244)(68, 317)(69, 286)(70, 242)(71, 293)(72, 299)(73, 315)(74, 288)(75, 270)(76, 249)(77, 301)(78, 312)(79, 278)(80, 292)(81, 308)(82, 266)(83, 251)(84, 289)(85, 253)(86, 323)(87, 257)(88, 284)(89, 306)(90, 255)(91, 319)(92, 307)(93, 322)(94, 285)(95, 261)(96, 275)(97, 281)(98, 294)(99, 273)(100, 296)(101, 305)(102, 321)(103, 318)(104, 324)(105, 297)(106, 320)(107, 309)(108, 302)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4^6 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2227
Graph:: simple bipartite
	v = 54 e = 216 f = 108
	degree seq :: [ 6^36, 12^18 ]

E28.2260 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^3, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * Y3)^2, (Y1 * Y3)^2, Y2^6, Y2^-2 * Y1 * Y2 * Y1^-1 * Y2 * Y1, Y2 * Y1^-1 * Y2^-2 * Y1^-1 * Y2 * Y1, Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110, 5, 113)(3, 111, 10, 118, 13, 121)(4, 112, 14, 122, 8, 116)(6, 114, 18, 126, 19, 127)(7, 115, 21, 129, 24, 132)(9, 117, 26, 134, 27, 135)(11, 119, 32, 140, 35, 143)(12, 120, 36, 144, 30, 138)(15, 123, 41, 149, 43, 151)(16, 124, 44, 152, 46, 154)(17, 125, 47, 155, 48, 156)(20, 128, 54, 162, 55, 163)(22, 130, 29, 137, 61, 169)(23, 131, 62, 170, 57, 165)(25, 133, 63, 171, 65, 173)(28, 136, 51, 159, 68, 176)(31, 139, 58, 166, 52, 160)(33, 141, 74, 182, 59, 167)(34, 142, 76, 184, 73, 181)(37, 145, 45, 153, 56, 164)(38, 146, 50, 158, 66, 174)(39, 147, 81, 189, 83, 191)(40, 148, 84, 192, 85, 193)(42, 150, 89, 197, 90, 198)(49, 157, 67, 175, 53, 161)(60, 168, 97, 205, 70, 178)(64, 172, 99, 207, 91, 199)(69, 177, 72, 180, 93, 201)(71, 179, 88, 196, 95, 203)(75, 183, 96, 204, 104, 212)(77, 185, 80, 188, 98, 206)(78, 186, 101, 209, 92, 200)(79, 187, 94, 202, 86, 194)(82, 190, 87, 195, 100, 208)(102, 210, 107, 215, 103, 211)(105, 213, 108, 216, 106, 214)(217, 325, 219, 327, 227, 335, 249, 357, 236, 344, 222, 330)(218, 326, 223, 331, 238, 346, 275, 383, 244, 352, 225, 333)(220, 328, 231, 339, 258, 366, 291, 399, 250, 358, 228, 336)(221, 329, 232, 340, 261, 369, 290, 398, 265, 373, 233, 341)(224, 332, 241, 349, 280, 388, 312, 420, 276, 384, 239, 347)(226, 334, 245, 353, 285, 393, 271, 379, 243, 351, 247, 355)(229, 337, 253, 361, 296, 404, 270, 378, 263, 371, 254, 362)(230, 338, 255, 363, 298, 406, 320, 428, 302, 410, 256, 364)(234, 342, 266, 374, 240, 348, 251, 359, 293, 401, 267, 375)(235, 343, 268, 376, 260, 368, 248, 356, 288, 396, 269, 377)(237, 345, 272, 380, 309, 417, 284, 392, 264, 372, 274, 382)(242, 350, 282, 390, 262, 370, 277, 385, 314, 422, 283, 391)(246, 354, 287, 395, 279, 387, 305, 413, 318, 426, 286, 394)(252, 360, 294, 402, 299, 407, 306, 414, 322, 430, 295, 403)(257, 365, 303, 411, 319, 427, 289, 397, 301, 409, 304, 412)(259, 367, 307, 415, 321, 429, 292, 400, 278, 386, 308, 416)(273, 381, 311, 419, 297, 405, 315, 423, 323, 431, 310, 418)(281, 389, 316, 424, 324, 432, 313, 421, 300, 408, 317, 425)
	L = (1, 220)(2, 224)(3, 228)(4, 217)(5, 230)(6, 231)(7, 239)(8, 218)(9, 241)(10, 246)(11, 250)(12, 219)(13, 252)(14, 221)(15, 222)(16, 256)(17, 255)(18, 259)(19, 257)(20, 258)(21, 273)(22, 276)(23, 223)(24, 278)(25, 225)(26, 281)(27, 279)(28, 280)(29, 286)(30, 226)(31, 287)(32, 289)(33, 291)(34, 227)(35, 292)(36, 229)(37, 295)(38, 294)(39, 233)(40, 232)(41, 235)(42, 236)(43, 234)(44, 301)(45, 302)(46, 300)(47, 299)(48, 297)(49, 298)(50, 308)(51, 307)(52, 304)(53, 303)(54, 306)(55, 305)(56, 310)(57, 237)(58, 311)(59, 312)(60, 238)(61, 313)(62, 240)(63, 243)(64, 244)(65, 242)(66, 317)(67, 316)(68, 315)(69, 318)(70, 245)(71, 247)(72, 319)(73, 248)(74, 320)(75, 249)(76, 251)(77, 321)(78, 254)(79, 253)(80, 322)(81, 264)(82, 265)(83, 263)(84, 262)(85, 260)(86, 261)(87, 269)(88, 268)(89, 271)(90, 270)(91, 267)(92, 266)(93, 323)(94, 272)(95, 274)(96, 275)(97, 277)(98, 324)(99, 284)(100, 283)(101, 282)(102, 285)(103, 288)(104, 290)(105, 293)(106, 296)(107, 309)(108, 314)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4^6 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2230
Graph:: simple bipartite
	v = 54 e = 216 f = 108
	degree seq :: [ 6^36, 12^18 ]

E28.2261 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y1, Y1^3, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (Y2^-1 * Y1^-1)^2, (Y2 * Y3^-1)^2, (R * Y3)^2, Y3 * Y2^-1 * Y1^-1 * Y3^-1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, R * Y2^-1 * R * Y1^-1 * Y2^-1 * Y1, Y2^6, Y2^-1 * Y1 * Y3 * Y2 * Y1^-1 * Y3^-1, Y2 * Y1^-1 * Y3 * Y2^2 * Y3 * Y1^-1 * Y2 * Y1^-1, Y1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2, Y2 * Y1^-1 * Y2^-1 * Y3 * Y2^2 * Y3 * Y2^-1 * Y1^-1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110, 5, 113)(3, 111, 11, 119, 14, 122)(4, 112, 9, 117, 7, 115)(6, 114, 18, 126, 8, 116)(10, 118, 26, 134, 17, 125)(12, 120, 30, 138, 33, 141)(13, 121, 25, 133, 15, 123)(16, 124, 22, 130, 28, 136)(19, 127, 24, 132, 21, 129)(20, 128, 43, 151, 40, 148)(23, 131, 41, 149, 50, 158)(27, 135, 55, 163, 53, 161)(29, 137, 59, 167, 36, 144)(31, 139, 63, 171, 65, 173)(32, 140, 52, 160, 34, 142)(35, 143, 37, 145, 61, 169)(38, 146, 58, 166, 74, 182)(39, 147, 54, 162, 73, 181)(42, 150, 46, 154, 49, 157)(44, 152, 51, 159, 45, 153)(47, 155, 57, 165, 56, 164)(48, 156, 82, 190, 84, 192)(60, 168, 94, 202, 93, 201)(62, 170, 89, 197, 68, 176)(64, 172, 88, 196, 66, 174)(67, 175, 69, 177, 91, 199)(70, 178, 86, 194, 81, 189)(71, 179, 87, 195, 76, 184)(72, 180, 96, 204, 95, 203)(75, 183, 78, 186, 90, 198)(77, 185, 85, 193, 83, 191)(79, 187, 80, 188, 92, 200)(97, 205, 103, 211, 107, 215)(98, 206, 105, 213, 100, 208)(99, 207, 101, 209, 106, 214)(102, 210, 104, 212, 108, 216)(217, 325, 219, 327, 228, 336, 247, 355, 236, 344, 222, 330)(218, 326, 224, 332, 239, 347, 264, 372, 243, 351, 226, 334)(220, 328, 232, 340, 254, 362, 288, 396, 253, 361, 231, 339)(221, 329, 233, 341, 255, 363, 276, 384, 245, 353, 227, 335)(223, 331, 235, 343, 258, 366, 293, 401, 263, 371, 238, 346)(225, 333, 241, 349, 268, 376, 304, 412, 267, 375, 240, 348)(229, 337, 251, 359, 286, 394, 318, 426, 285, 393, 250, 358)(230, 338, 252, 360, 287, 395, 313, 421, 278, 386, 246, 354)(234, 342, 256, 364, 291, 399, 319, 427, 292, 400, 257, 365)(237, 345, 260, 368, 295, 403, 320, 428, 297, 405, 262, 370)(242, 350, 269, 377, 305, 413, 323, 431, 306, 414, 270, 378)(244, 352, 272, 380, 307, 415, 324, 432, 308, 416, 274, 382)(248, 356, 283, 391, 273, 381, 299, 407, 317, 425, 282, 390)(249, 357, 284, 392, 271, 379, 300, 408, 314, 422, 279, 387)(259, 367, 281, 389, 316, 424, 310, 418, 289, 397, 294, 402)(261, 369, 280, 388, 315, 423, 312, 420, 290, 398, 296, 404)(265, 373, 302, 410, 277, 385, 311, 419, 322, 430, 301, 409)(266, 374, 303, 411, 275, 383, 309, 417, 321, 429, 298, 406)
	L = (1, 220)(2, 225)(3, 229)(4, 218)(5, 223)(6, 235)(7, 217)(8, 237)(9, 221)(10, 232)(11, 241)(12, 248)(13, 227)(14, 231)(15, 219)(16, 242)(17, 244)(18, 240)(19, 234)(20, 260)(21, 222)(22, 233)(23, 265)(24, 224)(25, 230)(26, 238)(27, 272)(28, 226)(29, 251)(30, 268)(31, 280)(32, 246)(33, 250)(34, 228)(35, 275)(36, 277)(37, 252)(38, 289)(39, 290)(40, 261)(41, 258)(42, 266)(43, 267)(44, 259)(45, 236)(46, 239)(47, 269)(48, 299)(49, 257)(50, 262)(51, 256)(52, 249)(53, 273)(54, 254)(55, 263)(56, 271)(57, 243)(58, 255)(59, 253)(60, 311)(61, 245)(62, 283)(63, 304)(64, 279)(65, 282)(66, 247)(67, 305)(68, 307)(69, 284)(70, 292)(71, 297)(72, 309)(73, 274)(74, 270)(75, 308)(76, 302)(77, 300)(78, 295)(79, 306)(80, 291)(81, 303)(82, 293)(83, 298)(84, 301)(85, 264)(86, 287)(87, 286)(88, 281)(89, 285)(90, 296)(91, 278)(92, 294)(93, 312)(94, 288)(95, 310)(96, 276)(97, 324)(98, 315)(99, 321)(100, 322)(101, 316)(102, 323)(103, 318)(104, 313)(105, 317)(106, 314)(107, 320)(108, 319)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4^6 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2226
Graph:: simple bipartite
	v = 54 e = 216 f = 108
	degree seq :: [ 6^36, 12^18 ]

E28.2262 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-2, Y1^3, (Y2^-1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y2^6, Y1^-1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y1^-1 * Y3^-1, Y3^-1 * Y1 * Y2 * Y3 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1 * Y2 * Y3 * Y2^2 * Y3, Y2^-2 * Y1 * Y2 * Y1^-1 * Y2 * Y1, Y2 * Y1^-1 * Y2^-2 * Y1^-1 * Y2 * Y1, Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110, 5, 113)(3, 111, 11, 119, 14, 122)(4, 112, 9, 117, 7, 115)(6, 114, 19, 127, 21, 129)(8, 116, 25, 133, 28, 136)(10, 118, 31, 139, 32, 140)(12, 120, 38, 146, 41, 149)(13, 121, 36, 144, 15, 123)(16, 124, 47, 155, 34, 142)(17, 125, 49, 157, 52, 160)(18, 126, 53, 161, 54, 162)(20, 128, 58, 166, 23, 131)(22, 130, 63, 171, 65, 173)(24, 132, 51, 159, 68, 176)(26, 134, 35, 143, 75, 183)(27, 135, 71, 179, 29, 137)(30, 138, 78, 186, 56, 164)(33, 141, 59, 167, 83, 191)(37, 145, 72, 180, 61, 169)(39, 147, 89, 197, 73, 181)(40, 148, 77, 185, 42, 150)(43, 151, 67, 175, 85, 193)(44, 152, 50, 158, 70, 178)(45, 153, 57, 165, 80, 188)(46, 154, 95, 203, 97, 205)(48, 156, 100, 208, 101, 209)(55, 163, 81, 189, 62, 170)(60, 168, 84, 192, 82, 190)(64, 172, 79, 187, 66, 174)(69, 177, 76, 184, 74, 182)(86, 194, 88, 196, 104, 212)(87, 195, 99, 207, 96, 204)(90, 198, 105, 213, 91, 199)(92, 200, 94, 202, 106, 214)(93, 201, 108, 216, 103, 211)(98, 206, 102, 210, 107, 215)(217, 325, 219, 327, 228, 336, 255, 363, 238, 346, 222, 330)(218, 326, 224, 332, 242, 350, 289, 397, 249, 357, 226, 334)(220, 328, 232, 340, 264, 372, 314, 422, 262, 370, 231, 339)(221, 329, 233, 341, 266, 374, 305, 413, 271, 379, 234, 342)(223, 331, 236, 344, 276, 384, 318, 426, 285, 393, 240, 348)(225, 333, 246, 354, 295, 403, 323, 431, 293, 401, 245, 353)(227, 335, 251, 359, 302, 410, 281, 389, 248, 356, 253, 361)(229, 337, 259, 367, 272, 380, 317, 425, 309, 417, 258, 366)(230, 338, 260, 368, 310, 418, 279, 387, 269, 377, 261, 369)(235, 343, 273, 381, 244, 352, 257, 365, 308, 416, 275, 383)(237, 345, 277, 385, 265, 373, 254, 362, 304, 412, 278, 386)(239, 347, 280, 388, 319, 427, 292, 400, 243, 351, 283, 391)(241, 349, 286, 394, 320, 428, 299, 407, 270, 378, 288, 396)(247, 355, 296, 404, 268, 376, 291, 399, 322, 430, 297, 405)(250, 358, 298, 406, 324, 432, 311, 419, 267, 375, 301, 409)(252, 360, 303, 411, 274, 382, 316, 424, 321, 429, 290, 398)(256, 364, 284, 392, 312, 420, 294, 402, 300, 408, 307, 415)(263, 371, 282, 390, 306, 414, 313, 421, 287, 395, 315, 423)
	L = (1, 220)(2, 225)(3, 229)(4, 218)(5, 223)(6, 236)(7, 217)(8, 243)(9, 221)(10, 232)(11, 252)(12, 256)(13, 227)(14, 231)(15, 219)(16, 247)(17, 267)(18, 246)(19, 274)(20, 235)(21, 239)(22, 280)(23, 222)(24, 233)(25, 287)(26, 290)(27, 241)(28, 245)(29, 224)(30, 269)(31, 263)(32, 250)(33, 298)(34, 226)(35, 285)(36, 230)(37, 259)(38, 293)(39, 306)(40, 254)(41, 258)(42, 228)(43, 288)(44, 311)(45, 303)(46, 260)(47, 248)(48, 278)(49, 284)(50, 313)(51, 265)(52, 240)(53, 294)(54, 272)(55, 317)(56, 234)(57, 315)(58, 237)(59, 276)(60, 299)(61, 301)(62, 316)(63, 295)(64, 279)(65, 282)(66, 238)(67, 277)(68, 268)(69, 291)(70, 262)(71, 244)(72, 283)(73, 307)(74, 251)(75, 292)(76, 242)(77, 257)(78, 270)(79, 281)(80, 312)(81, 264)(82, 275)(83, 300)(84, 249)(85, 253)(86, 323)(87, 273)(88, 314)(89, 321)(90, 305)(91, 255)(92, 324)(93, 308)(94, 319)(95, 266)(96, 261)(97, 286)(98, 320)(99, 296)(100, 271)(101, 297)(102, 302)(103, 322)(104, 318)(105, 289)(106, 309)(107, 304)(108, 310)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4^6 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2228
Graph:: simple bipartite
	v = 54 e = 216 f = 108
	degree seq :: [ 6^36, 12^18 ]

E28.2263 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y1 * Y2 * R * Y2^-1 * R, Y2^-1 * Y1^-1 * Y2 * Y3^-2, Y3 * Y1^-1 * Y2 * Y3 * Y2 * Y1, Y2^-1 * Y3^-2 * Y1^-1 * Y2 * Y1, Y1 * Y3^-1 * Y1 * Y3^3, Y2^6, Y3 * Y2 * Y3 * Y1^-1 * Y2 * Y1^-1, Y1^-1 * Y3 * Y2 * Y1 * Y2^-1 * Y1 * Y3, Y1^-1 * Y2^-1 * Y3 * R * Y3^-1 * Y2 * R ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110, 5, 113)(3, 111, 12, 120, 15, 123)(4, 112, 17, 125, 20, 128)(6, 114, 24, 132, 26, 134)(7, 115, 29, 137, 9, 117)(8, 116, 32, 140, 34, 142)(10, 118, 38, 146, 40, 148)(11, 119, 43, 151, 22, 130)(13, 121, 49, 157, 52, 160)(14, 122, 54, 162, 55, 163)(16, 124, 30, 138, 47, 155)(18, 126, 60, 168, 36, 144)(19, 127, 37, 145, 63, 171)(21, 129, 62, 170, 66, 174)(23, 131, 67, 175, 68, 176)(25, 133, 59, 167, 39, 147)(27, 135, 73, 181, 75, 183)(28, 136, 64, 172, 42, 150)(31, 139, 45, 153, 57, 165)(33, 141, 46, 154, 81, 189)(35, 143, 44, 152, 48, 156)(41, 149, 70, 178, 87, 195)(50, 158, 93, 201, 79, 187)(51, 159, 80, 188, 77, 185)(53, 161, 58, 166, 82, 190)(56, 164, 65, 173, 78, 186)(61, 169, 86, 194, 71, 179)(69, 177, 84, 192, 72, 180)(74, 182, 100, 208, 101, 209)(76, 184, 85, 193, 83, 191)(88, 196, 91, 199, 104, 212)(89, 197, 90, 198, 92, 200)(94, 202, 105, 213, 99, 207)(95, 203, 97, 205, 108, 216)(96, 204, 98, 206, 106, 214)(102, 210, 107, 215, 103, 211)(217, 325, 219, 327, 229, 337, 266, 374, 243, 351, 222, 330)(218, 326, 224, 332, 249, 357, 295, 403, 257, 365, 226, 334)(220, 328, 234, 342, 277, 385, 315, 423, 274, 382, 232, 340)(221, 329, 237, 345, 281, 389, 309, 417, 285, 393, 239, 347)(223, 331, 241, 349, 287, 395, 318, 426, 293, 401, 246, 354)(225, 333, 252, 360, 299, 407, 323, 431, 298, 406, 251, 359)(227, 335, 255, 363, 301, 409, 311, 419, 267, 375, 260, 368)(228, 336, 262, 370, 304, 412, 291, 399, 256, 364, 253, 361)(230, 338, 238, 346, 276, 384, 317, 425, 313, 421, 269, 377)(231, 339, 272, 380, 314, 422, 289, 397, 283, 391, 273, 381)(233, 341, 275, 383, 316, 424, 321, 429, 296, 404, 270, 378)(235, 343, 278, 386, 265, 373, 307, 415, 288, 396, 242, 350)(236, 344, 280, 388, 292, 400, 310, 418, 306, 414, 264, 372)(240, 348, 247, 355, 250, 358, 268, 376, 312, 420, 286, 394)(244, 352, 290, 398, 319, 427, 308, 416, 271, 379, 245, 353)(248, 356, 294, 402, 320, 428, 303, 411, 284, 392, 279, 387)(254, 362, 261, 369, 282, 390, 297, 405, 322, 430, 300, 408)(258, 366, 302, 410, 324, 432, 305, 413, 263, 371, 259, 367)
	L = (1, 220)(2, 225)(3, 230)(4, 235)(5, 238)(6, 241)(7, 217)(8, 232)(9, 253)(10, 255)(11, 218)(12, 263)(13, 267)(14, 237)(15, 260)(16, 219)(17, 221)(18, 254)(19, 259)(20, 261)(21, 251)(22, 279)(23, 275)(24, 258)(25, 256)(26, 234)(27, 290)(28, 222)(29, 273)(30, 250)(31, 223)(32, 264)(33, 296)(34, 270)(35, 224)(36, 283)(37, 236)(38, 280)(39, 284)(40, 252)(41, 302)(42, 226)(43, 247)(44, 282)(45, 227)(46, 269)(47, 278)(48, 228)(49, 298)(50, 310)(51, 272)(52, 306)(53, 229)(54, 231)(55, 248)(56, 305)(57, 233)(58, 249)(59, 242)(60, 240)(61, 289)(62, 271)(63, 245)(64, 239)(65, 293)(66, 246)(67, 244)(68, 276)(69, 292)(70, 317)(71, 303)(72, 316)(73, 299)(74, 257)(75, 287)(76, 243)(77, 297)(78, 274)(79, 319)(80, 268)(81, 308)(82, 281)(83, 286)(84, 277)(85, 288)(86, 285)(87, 301)(88, 321)(89, 262)(90, 294)(91, 311)(92, 265)(93, 324)(94, 312)(95, 266)(96, 323)(97, 304)(98, 315)(99, 320)(100, 291)(101, 300)(102, 309)(103, 322)(104, 318)(105, 295)(106, 313)(107, 307)(108, 314)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4^6 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2229
Graph:: simple bipartite
	v = 54 e = 216 f = 108
	degree seq :: [ 6^36, 12^18 ]

E28.2264 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 6})
Quotient :: halfedge^2
Aut^+ = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
Aut   = (C2 x (((C3 x C3) : C3) : C2)) : C2 (small group id <216, 37>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, (Y2 * Y3)^2, Y1^-3 * Y3 * Y2, Y2 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1, (Y2 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1^-1)^2, Y2 * Y1 * Y2 * Y1^-1 * Y3 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y3 * Y1^-1, (Y2 * Y1^-1)^6, Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y3 * Y1^-2 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 110, 2, 114, 6, 118, 10, 124, 16, 113, 5, 109)(3, 117, 9, 121, 13, 112, 4, 120, 12, 119, 11, 111)(7, 125, 17, 128, 20, 116, 8, 127, 19, 126, 18, 115)(14, 133, 25, 136, 28, 123, 15, 135, 27, 134, 26, 122)(21, 141, 33, 144, 36, 130, 22, 143, 35, 142, 34, 129)(23, 145, 37, 148, 40, 132, 24, 147, 39, 146, 38, 131)(29, 153, 45, 156, 48, 138, 30, 155, 47, 154, 46, 137)(31, 157, 49, 160, 52, 140, 32, 159, 51, 158, 50, 139)(41, 169, 61, 172, 64, 150, 42, 171, 63, 170, 62, 149)(43, 173, 65, 176, 68, 152, 44, 175, 67, 174, 66, 151)(53, 185, 77, 188, 80, 162, 54, 187, 79, 186, 78, 161)(55, 181, 73, 190, 82, 164, 56, 182, 74, 189, 81, 163)(57, 191, 83, 194, 86, 166, 58, 193, 85, 192, 84, 165)(59, 195, 87, 178, 70, 168, 60, 196, 88, 177, 69, 167)(71, 200, 92, 202, 94, 180, 72, 199, 91, 201, 93, 179)(75, 203, 95, 197, 89, 184, 76, 204, 96, 198, 90, 183)(97, 212, 104, 216, 108, 206, 98, 211, 103, 215, 107, 205)(99, 213, 105, 209, 101, 208, 100, 214, 106, 210, 102, 207)
	L = (1, 3)(2, 7)(4, 10)(5, 14)(6, 15)(8, 16)(9, 21)(11, 23)(12, 22)(13, 24)(17, 29)(18, 31)(19, 30)(20, 32)(25, 41)(26, 43)(27, 42)(28, 44)(33, 53)(34, 55)(35, 54)(36, 56)(37, 57)(38, 59)(39, 58)(40, 60)(45, 69)(46, 71)(47, 70)(48, 72)(49, 73)(50, 75)(51, 74)(52, 76)(61, 89)(62, 84)(63, 90)(64, 86)(65, 91)(66, 77)(67, 92)(68, 79)(78, 97)(80, 98)(81, 99)(82, 100)(83, 101)(85, 102)(87, 103)(88, 104)(93, 105)(94, 106)(95, 107)(96, 108)(109, 112)(110, 116)(111, 118)(113, 123)(114, 122)(115, 124)(117, 130)(119, 132)(120, 129)(121, 131)(125, 138)(126, 140)(127, 137)(128, 139)(133, 150)(134, 152)(135, 149)(136, 151)(141, 162)(142, 164)(143, 161)(144, 163)(145, 166)(146, 168)(147, 165)(148, 167)(153, 178)(154, 180)(155, 177)(156, 179)(157, 182)(158, 184)(159, 181)(160, 183)(169, 198)(170, 194)(171, 197)(172, 192)(173, 200)(174, 187)(175, 199)(176, 185)(186, 206)(188, 205)(189, 208)(190, 207)(191, 210)(193, 209)(195, 212)(196, 211)(201, 214)(202, 213)(203, 216)(204, 215)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2265
Transitivity :: VT+ AT
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 12^18 ]

E28.2265 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 6})
Quotient :: halfedge^2
Aut^+ = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
Aut   = (C2 x (((C3 x C3) : C3) : C2)) : C2 (small group id <216, 37>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^3, (Y3 * Y2)^2, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y1^-1 * Y2 * Y3 * Y1 * Y2, Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1, Y2 * Y1 * Y2 * Y1^-1 * Y3 * Y1 * Y2 * Y1^-1 * Y3 * Y1 * Y2 * Y1^-1, (Y2 * Y1^-1)^6 ]
Map:: non-degenerate
	R = (1, 110, 2, 113, 5, 109)(3, 116, 8, 118, 10, 111)(4, 119, 11, 120, 12, 112)(6, 123, 15, 125, 17, 114)(7, 126, 18, 127, 19, 115)(9, 124, 16, 130, 22, 117)(13, 133, 25, 134, 26, 121)(14, 135, 27, 136, 28, 122)(20, 141, 33, 142, 34, 128)(21, 143, 35, 144, 36, 129)(23, 145, 37, 146, 38, 131)(24, 147, 39, 148, 40, 132)(29, 153, 45, 154, 46, 137)(30, 155, 47, 156, 48, 138)(31, 157, 49, 158, 50, 139)(32, 159, 51, 160, 52, 140)(41, 169, 61, 170, 62, 149)(42, 171, 63, 172, 64, 150)(43, 173, 65, 174, 66, 151)(44, 175, 67, 176, 68, 152)(53, 185, 77, 186, 78, 161)(54, 187, 79, 188, 80, 162)(55, 181, 73, 189, 81, 163)(56, 182, 74, 190, 82, 164)(57, 191, 83, 192, 84, 165)(58, 193, 85, 194, 86, 166)(59, 195, 87, 177, 69, 167)(60, 196, 88, 178, 70, 168)(71, 199, 91, 201, 93, 179)(72, 200, 92, 202, 94, 180)(75, 203, 95, 197, 89, 183)(76, 204, 96, 198, 90, 184)(97, 211, 103, 215, 107, 205)(98, 212, 104, 216, 108, 206)(99, 213, 105, 209, 101, 207)(100, 214, 106, 210, 102, 208)
	L = (1, 3)(2, 6)(4, 9)(5, 13)(7, 16)(8, 20)(10, 23)(11, 21)(12, 24)(14, 22)(15, 29)(17, 31)(18, 30)(19, 32)(25, 41)(26, 43)(27, 42)(28, 44)(33, 53)(34, 55)(35, 54)(36, 56)(37, 57)(38, 59)(39, 58)(40, 60)(45, 69)(46, 71)(47, 70)(48, 72)(49, 73)(50, 75)(51, 74)(52, 76)(61, 89)(62, 84)(63, 90)(64, 86)(65, 91)(66, 77)(67, 92)(68, 79)(78, 97)(80, 98)(81, 99)(82, 100)(83, 101)(85, 102)(87, 103)(88, 104)(93, 105)(94, 106)(95, 107)(96, 108)(109, 112)(110, 115)(111, 117)(113, 122)(114, 124)(116, 129)(118, 132)(119, 128)(120, 131)(121, 130)(123, 138)(125, 140)(126, 137)(127, 139)(133, 150)(134, 152)(135, 149)(136, 151)(141, 162)(142, 164)(143, 161)(144, 163)(145, 166)(146, 168)(147, 165)(148, 167)(153, 178)(154, 180)(155, 177)(156, 179)(157, 182)(158, 184)(159, 181)(160, 183)(169, 198)(170, 194)(171, 197)(172, 192)(173, 200)(174, 187)(175, 199)(176, 185)(186, 206)(188, 205)(189, 208)(190, 207)(191, 210)(193, 209)(195, 212)(196, 211)(201, 214)(202, 213)(203, 216)(204, 215)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2264
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 36 e = 108 f = 18
	degree seq :: [ 6^36 ]

E28.2266 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 6})
Quotient :: edge^2
Aut^+ = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
Aut   = (C2 x (((C3 x C3) : C3) : C2)) : C2 (small group id <216, 37>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (Y1 * Y2)^2, (R * Y3)^2, R * Y1 * R * Y2, Y1 * Y3^-1 * Y2 * Y1 * Y3 * Y2, (Y1 * Y3 * Y2 * Y3 * Y2 * Y3)^2, (Y3 * Y1 * Y3^-1 * Y1)^3 ]
Map::
	R = (1, 109, 4, 112, 5, 113)(2, 110, 7, 115, 8, 116)(3, 111, 9, 117, 10, 118)(6, 114, 15, 123, 16, 124)(11, 119, 21, 129, 22, 130)(12, 120, 23, 131, 24, 132)(13, 121, 25, 133, 26, 134)(14, 122, 27, 135, 28, 136)(17, 125, 29, 137, 30, 138)(18, 126, 31, 139, 32, 140)(19, 127, 33, 141, 34, 142)(20, 128, 35, 143, 36, 144)(37, 145, 53, 161, 54, 162)(38, 146, 55, 163, 56, 164)(39, 147, 57, 165, 58, 166)(40, 148, 59, 167, 60, 168)(41, 149, 61, 169, 62, 170)(42, 150, 63, 171, 64, 172)(43, 151, 65, 173, 66, 174)(44, 152, 67, 175, 68, 176)(45, 153, 69, 177, 70, 178)(46, 154, 71, 179, 72, 180)(47, 155, 73, 181, 74, 182)(48, 156, 75, 183, 76, 184)(49, 157, 77, 185, 78, 186)(50, 158, 79, 187, 80, 188)(51, 159, 81, 189, 82, 190)(52, 160, 83, 191, 84, 192)(85, 193, 91, 199, 101, 209)(86, 194, 92, 200, 102, 210)(87, 195, 103, 211, 89, 197)(88, 196, 104, 212, 90, 198)(93, 201, 99, 207, 105, 213)(94, 202, 100, 208, 106, 214)(95, 203, 107, 215, 97, 205)(96, 204, 108, 216, 98, 206)(217, 218)(219, 222)(220, 227)(221, 229)(223, 233)(224, 235)(225, 234)(226, 236)(228, 231)(230, 232)(237, 253)(238, 255)(239, 254)(240, 256)(241, 257)(242, 259)(243, 258)(244, 260)(245, 261)(246, 263)(247, 262)(248, 264)(249, 265)(250, 267)(251, 266)(252, 268)(269, 298)(270, 301)(271, 300)(272, 302)(273, 289)(274, 303)(275, 291)(276, 304)(277, 305)(278, 294)(279, 306)(280, 296)(281, 307)(282, 285)(283, 308)(284, 287)(286, 309)(288, 310)(290, 311)(292, 312)(293, 313)(295, 314)(297, 315)(299, 316)(317, 323)(318, 324)(319, 321)(320, 322)(325, 327)(326, 330)(328, 336)(329, 338)(331, 342)(332, 344)(333, 341)(334, 343)(335, 339)(337, 340)(345, 362)(346, 364)(347, 361)(348, 363)(349, 366)(350, 368)(351, 365)(352, 367)(353, 370)(354, 372)(355, 369)(356, 371)(357, 374)(358, 376)(359, 373)(360, 375)(377, 408)(378, 410)(379, 406)(380, 409)(381, 399)(382, 412)(383, 397)(384, 411)(385, 414)(386, 404)(387, 413)(388, 402)(389, 416)(390, 395)(391, 415)(392, 393)(394, 418)(396, 417)(398, 420)(400, 419)(401, 422)(403, 421)(405, 424)(407, 423)(425, 432)(426, 431)(427, 430)(428, 429)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 24, 24 ), ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2269
Graph:: simple bipartite
	v = 144 e = 216 f = 18
	degree seq :: [ 2^108, 6^36 ]

E28.2267 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 6})
Quotient :: edge^2
Aut^+ = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
Aut   = (C2 x (((C3 x C3) : C3) : C2)) : C2 (small group id <216, 37>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y1 * Y2)^2, Y3^-1 * Y1 * Y2 * Y3^-2, Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y2, Y3^-1 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 109, 4, 112, 13, 121, 6, 114, 16, 124, 5, 113)(2, 110, 7, 115, 10, 118, 3, 111, 9, 117, 8, 116)(11, 119, 21, 129, 24, 132, 12, 120, 23, 131, 22, 130)(14, 122, 25, 133, 28, 136, 15, 123, 27, 135, 26, 134)(17, 125, 29, 137, 32, 140, 18, 126, 31, 139, 30, 138)(19, 127, 33, 141, 36, 144, 20, 128, 35, 143, 34, 142)(37, 145, 53, 161, 56, 164, 38, 146, 55, 163, 54, 162)(39, 147, 57, 165, 60, 168, 40, 148, 59, 167, 58, 166)(41, 149, 61, 169, 64, 172, 42, 150, 63, 171, 62, 170)(43, 151, 65, 173, 68, 176, 44, 152, 67, 175, 66, 174)(45, 153, 69, 177, 72, 180, 46, 154, 71, 179, 70, 178)(47, 155, 73, 181, 76, 184, 48, 156, 75, 183, 74, 182)(49, 157, 77, 185, 80, 188, 50, 158, 79, 187, 78, 186)(51, 159, 81, 189, 84, 192, 52, 160, 83, 191, 82, 190)(85, 193, 92, 200, 102, 210, 86, 194, 91, 199, 101, 209)(87, 195, 103, 211, 89, 197, 88, 196, 104, 212, 90, 198)(93, 201, 100, 208, 106, 214, 94, 202, 99, 207, 105, 213)(95, 203, 107, 215, 97, 205, 96, 204, 108, 216, 98, 206)(217, 218)(219, 222)(220, 227)(221, 230)(223, 233)(224, 235)(225, 234)(226, 236)(228, 232)(229, 231)(237, 253)(238, 255)(239, 254)(240, 256)(241, 257)(242, 259)(243, 258)(244, 260)(245, 261)(246, 263)(247, 262)(248, 264)(249, 265)(250, 267)(251, 266)(252, 268)(269, 298)(270, 301)(271, 300)(272, 302)(273, 289)(274, 303)(275, 291)(276, 304)(277, 305)(278, 294)(279, 306)(280, 296)(281, 307)(282, 285)(283, 308)(284, 287)(286, 309)(288, 310)(290, 311)(292, 312)(293, 313)(295, 314)(297, 315)(299, 316)(317, 323)(318, 324)(319, 321)(320, 322)(325, 327)(326, 330)(328, 336)(329, 339)(331, 342)(332, 344)(333, 341)(334, 343)(335, 340)(337, 338)(345, 362)(346, 364)(347, 361)(348, 363)(349, 366)(350, 368)(351, 365)(352, 367)(353, 370)(354, 372)(355, 369)(356, 371)(357, 374)(358, 376)(359, 373)(360, 375)(377, 408)(378, 410)(379, 406)(380, 409)(381, 399)(382, 412)(383, 397)(384, 411)(385, 414)(386, 404)(387, 413)(388, 402)(389, 416)(390, 395)(391, 415)(392, 393)(394, 418)(396, 417)(398, 420)(400, 419)(401, 422)(403, 421)(405, 424)(407, 423)(425, 432)(426, 431)(427, 430)(428, 429)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 12, 12 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2268
Graph:: simple bipartite
	v = 126 e = 216 f = 36
	degree seq :: [ 2^108, 12^18 ]

E28.2268 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 6})
Quotient :: loop^2
Aut^+ = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
Aut   = (C2 x (((C3 x C3) : C3) : C2)) : C2 (small group id <216, 37>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (Y1 * Y2)^2, (R * Y3)^2, R * Y1 * R * Y2, Y1 * Y3^-1 * Y2 * Y1 * Y3 * Y2, (Y1 * Y3 * Y2 * Y3 * Y2 * Y3)^2, (Y3 * Y1 * Y3^-1 * Y1)^3 ]
Map::
	R = (1, 109, 217, 325, 4, 112, 220, 328, 5, 113, 221, 329)(2, 110, 218, 326, 7, 115, 223, 331, 8, 116, 224, 332)(3, 111, 219, 327, 9, 117, 225, 333, 10, 118, 226, 334)(6, 114, 222, 330, 15, 123, 231, 339, 16, 124, 232, 340)(11, 119, 227, 335, 21, 129, 237, 345, 22, 130, 238, 346)(12, 120, 228, 336, 23, 131, 239, 347, 24, 132, 240, 348)(13, 121, 229, 337, 25, 133, 241, 349, 26, 134, 242, 350)(14, 122, 230, 338, 27, 135, 243, 351, 28, 136, 244, 352)(17, 125, 233, 341, 29, 137, 245, 353, 30, 138, 246, 354)(18, 126, 234, 342, 31, 139, 247, 355, 32, 140, 248, 356)(19, 127, 235, 343, 33, 141, 249, 357, 34, 142, 250, 358)(20, 128, 236, 344, 35, 143, 251, 359, 36, 144, 252, 360)(37, 145, 253, 361, 53, 161, 269, 377, 54, 162, 270, 378)(38, 146, 254, 362, 55, 163, 271, 379, 56, 164, 272, 380)(39, 147, 255, 363, 57, 165, 273, 381, 58, 166, 274, 382)(40, 148, 256, 364, 59, 167, 275, 383, 60, 168, 276, 384)(41, 149, 257, 365, 61, 169, 277, 385, 62, 170, 278, 386)(42, 150, 258, 366, 63, 171, 279, 387, 64, 172, 280, 388)(43, 151, 259, 367, 65, 173, 281, 389, 66, 174, 282, 390)(44, 152, 260, 368, 67, 175, 283, 391, 68, 176, 284, 392)(45, 153, 261, 369, 69, 177, 285, 393, 70, 178, 286, 394)(46, 154, 262, 370, 71, 179, 287, 395, 72, 180, 288, 396)(47, 155, 263, 371, 73, 181, 289, 397, 74, 182, 290, 398)(48, 156, 264, 372, 75, 183, 291, 399, 76, 184, 292, 400)(49, 157, 265, 373, 77, 185, 293, 401, 78, 186, 294, 402)(50, 158, 266, 374, 79, 187, 295, 403, 80, 188, 296, 404)(51, 159, 267, 375, 81, 189, 297, 405, 82, 190, 298, 406)(52, 160, 268, 376, 83, 191, 299, 407, 84, 192, 300, 408)(85, 193, 301, 409, 91, 199, 307, 415, 101, 209, 317, 425)(86, 194, 302, 410, 92, 200, 308, 416, 102, 210, 318, 426)(87, 195, 303, 411, 103, 211, 319, 427, 89, 197, 305, 413)(88, 196, 304, 412, 104, 212, 320, 428, 90, 198, 306, 414)(93, 201, 309, 417, 99, 207, 315, 423, 105, 213, 321, 429)(94, 202, 310, 418, 100, 208, 316, 424, 106, 214, 322, 430)(95, 203, 311, 419, 107, 215, 323, 431, 97, 205, 313, 421)(96, 204, 312, 420, 108, 216, 324, 432, 98, 206, 314, 422)
	L = (1, 110)(2, 109)(3, 114)(4, 119)(5, 121)(6, 111)(7, 125)(8, 127)(9, 126)(10, 128)(11, 112)(12, 123)(13, 113)(14, 124)(15, 120)(16, 122)(17, 115)(18, 117)(19, 116)(20, 118)(21, 145)(22, 147)(23, 146)(24, 148)(25, 149)(26, 151)(27, 150)(28, 152)(29, 153)(30, 155)(31, 154)(32, 156)(33, 157)(34, 159)(35, 158)(36, 160)(37, 129)(38, 131)(39, 130)(40, 132)(41, 133)(42, 135)(43, 134)(44, 136)(45, 137)(46, 139)(47, 138)(48, 140)(49, 141)(50, 143)(51, 142)(52, 144)(53, 190)(54, 193)(55, 192)(56, 194)(57, 181)(58, 195)(59, 183)(60, 196)(61, 197)(62, 186)(63, 198)(64, 188)(65, 199)(66, 177)(67, 200)(68, 179)(69, 174)(70, 201)(71, 176)(72, 202)(73, 165)(74, 203)(75, 167)(76, 204)(77, 205)(78, 170)(79, 206)(80, 172)(81, 207)(82, 161)(83, 208)(84, 163)(85, 162)(86, 164)(87, 166)(88, 168)(89, 169)(90, 171)(91, 173)(92, 175)(93, 178)(94, 180)(95, 182)(96, 184)(97, 185)(98, 187)(99, 189)(100, 191)(101, 215)(102, 216)(103, 213)(104, 214)(105, 211)(106, 212)(107, 209)(108, 210)(217, 327)(218, 330)(219, 325)(220, 336)(221, 338)(222, 326)(223, 342)(224, 344)(225, 341)(226, 343)(227, 339)(228, 328)(229, 340)(230, 329)(231, 335)(232, 337)(233, 333)(234, 331)(235, 334)(236, 332)(237, 362)(238, 364)(239, 361)(240, 363)(241, 366)(242, 368)(243, 365)(244, 367)(245, 370)(246, 372)(247, 369)(248, 371)(249, 374)(250, 376)(251, 373)(252, 375)(253, 347)(254, 345)(255, 348)(256, 346)(257, 351)(258, 349)(259, 352)(260, 350)(261, 355)(262, 353)(263, 356)(264, 354)(265, 359)(266, 357)(267, 360)(268, 358)(269, 408)(270, 410)(271, 406)(272, 409)(273, 399)(274, 412)(275, 397)(276, 411)(277, 414)(278, 404)(279, 413)(280, 402)(281, 416)(282, 395)(283, 415)(284, 393)(285, 392)(286, 418)(287, 390)(288, 417)(289, 383)(290, 420)(291, 381)(292, 419)(293, 422)(294, 388)(295, 421)(296, 386)(297, 424)(298, 379)(299, 423)(300, 377)(301, 380)(302, 378)(303, 384)(304, 382)(305, 387)(306, 385)(307, 391)(308, 389)(309, 396)(310, 394)(311, 400)(312, 398)(313, 403)(314, 401)(315, 407)(316, 405)(317, 432)(318, 431)(319, 430)(320, 429)(321, 428)(322, 427)(323, 426)(324, 425)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2267
Transitivity :: VT+
Graph:: bipartite
	v = 36 e = 216 f = 126
	degree seq :: [ 12^36 ]

E28.2269 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 6})
Quotient :: loop^2
Aut^+ = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
Aut   = (C2 x (((C3 x C3) : C3) : C2)) : C2 (small group id <216, 37>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y1 * Y2)^2, Y3^-1 * Y1 * Y2 * Y3^-2, Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y2, Y3^-1 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 109, 217, 325, 4, 112, 220, 328, 13, 121, 229, 337, 6, 114, 222, 330, 16, 124, 232, 340, 5, 113, 221, 329)(2, 110, 218, 326, 7, 115, 223, 331, 10, 118, 226, 334, 3, 111, 219, 327, 9, 117, 225, 333, 8, 116, 224, 332)(11, 119, 227, 335, 21, 129, 237, 345, 24, 132, 240, 348, 12, 120, 228, 336, 23, 131, 239, 347, 22, 130, 238, 346)(14, 122, 230, 338, 25, 133, 241, 349, 28, 136, 244, 352, 15, 123, 231, 339, 27, 135, 243, 351, 26, 134, 242, 350)(17, 125, 233, 341, 29, 137, 245, 353, 32, 140, 248, 356, 18, 126, 234, 342, 31, 139, 247, 355, 30, 138, 246, 354)(19, 127, 235, 343, 33, 141, 249, 357, 36, 144, 252, 360, 20, 128, 236, 344, 35, 143, 251, 359, 34, 142, 250, 358)(37, 145, 253, 361, 53, 161, 269, 377, 56, 164, 272, 380, 38, 146, 254, 362, 55, 163, 271, 379, 54, 162, 270, 378)(39, 147, 255, 363, 57, 165, 273, 381, 60, 168, 276, 384, 40, 148, 256, 364, 59, 167, 275, 383, 58, 166, 274, 382)(41, 149, 257, 365, 61, 169, 277, 385, 64, 172, 280, 388, 42, 150, 258, 366, 63, 171, 279, 387, 62, 170, 278, 386)(43, 151, 259, 367, 65, 173, 281, 389, 68, 176, 284, 392, 44, 152, 260, 368, 67, 175, 283, 391, 66, 174, 282, 390)(45, 153, 261, 369, 69, 177, 285, 393, 72, 180, 288, 396, 46, 154, 262, 370, 71, 179, 287, 395, 70, 178, 286, 394)(47, 155, 263, 371, 73, 181, 289, 397, 76, 184, 292, 400, 48, 156, 264, 372, 75, 183, 291, 399, 74, 182, 290, 398)(49, 157, 265, 373, 77, 185, 293, 401, 80, 188, 296, 404, 50, 158, 266, 374, 79, 187, 295, 403, 78, 186, 294, 402)(51, 159, 267, 375, 81, 189, 297, 405, 84, 192, 300, 408, 52, 160, 268, 376, 83, 191, 299, 407, 82, 190, 298, 406)(85, 193, 301, 409, 92, 200, 308, 416, 102, 210, 318, 426, 86, 194, 302, 410, 91, 199, 307, 415, 101, 209, 317, 425)(87, 195, 303, 411, 103, 211, 319, 427, 89, 197, 305, 413, 88, 196, 304, 412, 104, 212, 320, 428, 90, 198, 306, 414)(93, 201, 309, 417, 100, 208, 316, 424, 106, 214, 322, 430, 94, 202, 310, 418, 99, 207, 315, 423, 105, 213, 321, 429)(95, 203, 311, 419, 107, 215, 323, 431, 97, 205, 313, 421, 96, 204, 312, 420, 108, 216, 324, 432, 98, 206, 314, 422)
	L = (1, 110)(2, 109)(3, 114)(4, 119)(5, 122)(6, 111)(7, 125)(8, 127)(9, 126)(10, 128)(11, 112)(12, 124)(13, 123)(14, 113)(15, 121)(16, 120)(17, 115)(18, 117)(19, 116)(20, 118)(21, 145)(22, 147)(23, 146)(24, 148)(25, 149)(26, 151)(27, 150)(28, 152)(29, 153)(30, 155)(31, 154)(32, 156)(33, 157)(34, 159)(35, 158)(36, 160)(37, 129)(38, 131)(39, 130)(40, 132)(41, 133)(42, 135)(43, 134)(44, 136)(45, 137)(46, 139)(47, 138)(48, 140)(49, 141)(50, 143)(51, 142)(52, 144)(53, 190)(54, 193)(55, 192)(56, 194)(57, 181)(58, 195)(59, 183)(60, 196)(61, 197)(62, 186)(63, 198)(64, 188)(65, 199)(66, 177)(67, 200)(68, 179)(69, 174)(70, 201)(71, 176)(72, 202)(73, 165)(74, 203)(75, 167)(76, 204)(77, 205)(78, 170)(79, 206)(80, 172)(81, 207)(82, 161)(83, 208)(84, 163)(85, 162)(86, 164)(87, 166)(88, 168)(89, 169)(90, 171)(91, 173)(92, 175)(93, 178)(94, 180)(95, 182)(96, 184)(97, 185)(98, 187)(99, 189)(100, 191)(101, 215)(102, 216)(103, 213)(104, 214)(105, 211)(106, 212)(107, 209)(108, 210)(217, 327)(218, 330)(219, 325)(220, 336)(221, 339)(222, 326)(223, 342)(224, 344)(225, 341)(226, 343)(227, 340)(228, 328)(229, 338)(230, 337)(231, 329)(232, 335)(233, 333)(234, 331)(235, 334)(236, 332)(237, 362)(238, 364)(239, 361)(240, 363)(241, 366)(242, 368)(243, 365)(244, 367)(245, 370)(246, 372)(247, 369)(248, 371)(249, 374)(250, 376)(251, 373)(252, 375)(253, 347)(254, 345)(255, 348)(256, 346)(257, 351)(258, 349)(259, 352)(260, 350)(261, 355)(262, 353)(263, 356)(264, 354)(265, 359)(266, 357)(267, 360)(268, 358)(269, 408)(270, 410)(271, 406)(272, 409)(273, 399)(274, 412)(275, 397)(276, 411)(277, 414)(278, 404)(279, 413)(280, 402)(281, 416)(282, 395)(283, 415)(284, 393)(285, 392)(286, 418)(287, 390)(288, 417)(289, 383)(290, 420)(291, 381)(292, 419)(293, 422)(294, 388)(295, 421)(296, 386)(297, 424)(298, 379)(299, 423)(300, 377)(301, 380)(302, 378)(303, 384)(304, 382)(305, 387)(306, 385)(307, 391)(308, 389)(309, 396)(310, 394)(311, 400)(312, 398)(313, 403)(314, 401)(315, 407)(316, 405)(317, 432)(318, 431)(319, 430)(320, 429)(321, 428)(322, 427)(323, 426)(324, 425)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2266
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 216 f = 144
	degree seq :: [ 24^18 ]

E28.2270 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 28>)
Aut   = C2 x C2 x (((C3 x C3) : C3) : C2) (small group id <216, 113>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y3^-1 * Y1)^2, Y3^6, Y3^-1 * Y2 * Y3 * Y2 * Y1 * Y2^-1 * Y1, Y2^-1 * Y1 * Y2 * Y3 * Y1 * Y2^-1 * Y3, Y2 * Y3^2 * Y2 * Y3^-1 * Y2 * Y3^-1, Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110)(3, 111, 11, 119)(4, 112, 10, 118)(5, 113, 17, 125)(6, 114, 8, 116)(7, 115, 23, 131)(9, 117, 29, 137)(12, 120, 37, 145)(13, 121, 28, 136)(14, 122, 31, 139)(15, 123, 34, 142)(16, 124, 25, 133)(18, 126, 51, 159)(19, 127, 26, 134)(20, 128, 58, 166)(21, 129, 61, 169)(22, 130, 27, 135)(24, 132, 41, 149)(30, 138, 56, 164)(32, 140, 38, 146)(33, 141, 54, 162)(35, 143, 66, 174)(36, 144, 62, 170)(39, 147, 84, 192)(40, 148, 79, 187)(42, 150, 77, 185)(43, 151, 75, 183)(44, 152, 80, 188)(45, 153, 82, 190)(46, 154, 73, 181)(47, 155, 81, 189)(48, 156, 70, 178)(49, 157, 59, 167)(50, 158, 76, 184)(52, 160, 69, 177)(53, 161, 83, 191)(55, 163, 68, 176)(57, 165, 71, 179)(60, 168, 74, 182)(63, 171, 72, 180)(64, 172, 78, 186)(65, 173, 67, 175)(85, 193, 104, 212)(86, 194, 98, 206)(87, 195, 99, 207)(88, 196, 96, 204)(89, 197, 97, 205)(90, 198, 102, 210)(91, 199, 103, 211)(92, 200, 100, 208)(93, 201, 101, 209)(94, 202, 95, 203)(105, 213, 107, 215)(106, 214, 108, 216)(217, 325, 219, 327, 221, 329)(218, 326, 223, 331, 225, 333)(220, 328, 230, 338, 232, 340)(222, 330, 236, 344, 237, 345)(224, 332, 242, 350, 244, 352)(226, 334, 248, 356, 249, 357)(227, 335, 251, 359, 252, 360)(228, 336, 254, 362, 256, 364)(229, 337, 257, 365, 258, 366)(231, 339, 261, 369, 263, 371)(233, 341, 265, 373, 266, 374)(234, 342, 268, 376, 270, 378)(235, 343, 271, 379, 272, 380)(238, 346, 280, 388, 281, 389)(239, 347, 282, 390, 275, 383)(240, 348, 274, 382, 284, 392)(241, 349, 253, 361, 285, 393)(243, 351, 288, 396, 290, 398)(245, 353, 278, 386, 292, 400)(246, 354, 293, 401, 277, 385)(247, 355, 295, 403, 267, 375)(250, 358, 299, 407, 300, 408)(255, 363, 264, 372, 302, 410)(259, 367, 279, 387, 305, 413)(260, 368, 269, 377, 303, 411)(262, 370, 301, 409, 308, 416)(273, 381, 304, 412, 276, 384)(283, 391, 291, 399, 312, 420)(286, 394, 298, 406, 315, 423)(287, 395, 294, 402, 313, 421)(289, 397, 311, 419, 318, 426)(296, 404, 314, 422, 297, 405)(306, 414, 309, 417, 321, 429)(307, 415, 310, 418, 322, 430)(316, 424, 319, 427, 323, 431)(317, 425, 320, 428, 324, 432)
	L = (1, 220)(2, 224)(3, 228)(4, 231)(5, 234)(6, 217)(7, 240)(8, 243)(9, 246)(10, 218)(11, 244)(12, 255)(13, 219)(14, 260)(15, 262)(16, 264)(17, 242)(18, 269)(19, 221)(20, 275)(21, 278)(22, 222)(23, 232)(24, 283)(25, 223)(26, 287)(27, 289)(28, 291)(29, 230)(30, 294)(31, 225)(32, 252)(33, 265)(34, 226)(35, 284)(36, 277)(37, 227)(38, 263)(39, 301)(40, 303)(41, 239)(42, 292)(43, 229)(44, 306)(45, 307)(46, 238)(47, 309)(48, 310)(49, 274)(50, 293)(51, 233)(52, 302)(53, 308)(54, 261)(55, 282)(56, 245)(57, 235)(58, 290)(59, 270)(60, 236)(61, 288)(62, 254)(63, 237)(64, 272)(65, 257)(66, 256)(67, 311)(68, 313)(69, 266)(70, 241)(71, 316)(72, 317)(73, 250)(74, 319)(75, 320)(76, 268)(77, 312)(78, 318)(79, 251)(80, 247)(81, 248)(82, 249)(83, 267)(84, 253)(85, 259)(86, 321)(87, 322)(88, 258)(89, 271)(90, 280)(91, 276)(92, 273)(93, 279)(94, 281)(95, 286)(96, 323)(97, 324)(98, 285)(99, 295)(100, 299)(101, 297)(102, 296)(103, 298)(104, 300)(105, 304)(106, 305)(107, 314)(108, 315)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2271
Graph:: simple bipartite
	v = 90 e = 216 f = 72
	degree seq :: [ 4^54, 6^36 ]

E28.2271 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 28>)
Aut   = C2 x C2 x (((C3 x C3) : C3) : C2) (small group id <216, 113>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y2 * Y3)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y1^-1, Y1^2 * Y3^-3 * Y1, (Y3 * Y2 * Y1^-1)^2, Y3^3 * Y1^3, Y1^-1 * Y3^3 * Y1^-2, Y1^6, (Y2 * Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y1^-1)^3, (Y1^-1 * Y3^-1)^3, Y2 * Y1^-1 * Y2 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1, Y2 * Y1 * Y3^-1 * Y2 * Y1^-1 * Y3^2 * Y1^-1, Y2 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y3 * Y1^-2, Y3^-2 * Y2 * Y1^2 * Y3 * Y2 * Y1^-1, Y3 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1 * Y2 * Y1, Y3^-1 * Y2 * Y1^-2 * Y2 * Y1^-1 * Y3 * Y1^-1, Y2 * Y1 * Y3^2 * Y2 * Y1^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y2 * Y1 * Y2 * Y1^2 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110, 7, 115, 25, 133, 20, 128, 5, 113)(3, 111, 11, 119, 39, 147, 68, 176, 48, 156, 13, 121)(4, 112, 15, 123, 52, 160, 24, 132, 59, 167, 17, 125)(6, 114, 22, 130, 57, 165, 16, 124, 56, 164, 23, 131)(8, 116, 29, 137, 77, 185, 66, 174, 86, 194, 31, 139)(9, 117, 33, 141, 89, 197, 38, 146, 95, 203, 35, 143)(10, 118, 36, 144, 93, 201, 34, 142, 92, 200, 37, 145)(12, 120, 43, 151, 102, 210, 51, 159, 85, 193, 45, 153)(14, 122, 50, 158, 82, 190, 44, 152, 72, 180, 32, 140)(18, 126, 61, 169, 71, 179, 26, 134, 69, 177, 63, 171)(19, 127, 64, 172, 74, 182, 27, 135, 73, 181, 65, 173)(21, 129, 67, 175, 76, 184, 28, 136, 75, 183, 54, 162)(30, 138, 81, 189, 41, 149, 88, 196, 105, 213, 83, 191)(40, 148, 78, 186, 55, 163, 91, 199, 108, 216, 100, 208)(42, 150, 101, 209, 107, 215, 90, 198, 53, 161, 80, 188)(46, 154, 84, 192, 104, 212, 97, 205, 60, 168, 96, 204)(47, 155, 79, 187, 62, 170, 98, 206, 103, 211, 70, 178)(49, 157, 94, 202, 58, 166, 99, 207, 106, 214, 87, 195)(217, 325, 219, 327)(218, 326, 224, 332)(220, 328, 230, 338)(221, 329, 234, 342)(222, 330, 228, 336)(223, 331, 242, 350)(225, 333, 248, 356)(226, 334, 246, 354)(227, 335, 256, 364)(229, 337, 262, 370)(231, 339, 269, 377)(232, 340, 267, 375)(233, 341, 274, 382)(235, 343, 266, 374)(236, 344, 282, 390)(237, 345, 278, 386)(238, 346, 263, 371)(239, 347, 257, 365)(240, 348, 260, 368)(241, 349, 284, 392)(243, 351, 288, 396)(244, 352, 286, 394)(245, 353, 294, 402)(247, 355, 300, 408)(249, 357, 306, 414)(250, 358, 304, 412)(251, 359, 310, 418)(252, 360, 301, 409)(253, 361, 295, 403)(254, 362, 298, 406)(255, 363, 313, 421)(258, 366, 311, 419)(259, 367, 308, 416)(261, 369, 292, 400)(264, 372, 307, 415)(265, 373, 290, 398)(268, 376, 303, 411)(270, 378, 318, 426)(271, 379, 285, 393)(272, 380, 314, 422)(273, 381, 299, 407)(275, 383, 317, 425)(276, 384, 293, 401)(277, 385, 316, 424)(279, 387, 312, 420)(280, 388, 296, 404)(281, 389, 315, 423)(283, 391, 297, 405)(287, 395, 320, 428)(289, 397, 323, 431)(291, 399, 321, 429)(302, 410, 324, 432)(305, 413, 322, 430)(309, 417, 319, 427)
	L = (1, 220)(2, 225)(3, 228)(4, 232)(5, 235)(6, 217)(7, 243)(8, 246)(9, 250)(10, 218)(11, 257)(12, 260)(13, 263)(14, 219)(15, 270)(16, 241)(17, 252)(18, 278)(19, 244)(20, 254)(21, 221)(22, 262)(23, 256)(24, 222)(25, 240)(26, 286)(27, 237)(28, 223)(29, 295)(30, 298)(31, 301)(32, 224)(33, 239)(34, 236)(35, 291)(36, 300)(37, 294)(38, 226)(39, 314)(40, 311)(41, 306)(42, 227)(43, 303)(44, 284)(45, 317)(46, 290)(47, 315)(48, 299)(49, 229)(50, 234)(51, 230)(52, 308)(53, 285)(54, 316)(55, 231)(56, 313)(57, 307)(58, 293)(59, 292)(60, 233)(61, 318)(62, 288)(63, 297)(64, 309)(65, 238)(66, 304)(67, 312)(68, 267)(69, 261)(70, 266)(71, 321)(72, 242)(73, 253)(74, 272)(75, 320)(76, 271)(77, 259)(78, 280)(79, 323)(80, 245)(81, 322)(82, 282)(83, 258)(84, 268)(85, 274)(86, 319)(87, 247)(88, 248)(89, 283)(90, 264)(91, 249)(92, 276)(93, 324)(94, 279)(95, 273)(96, 251)(97, 281)(98, 265)(99, 255)(100, 275)(101, 277)(102, 269)(103, 296)(104, 305)(105, 310)(106, 287)(107, 302)(108, 289)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2270
Graph:: simple bipartite
	v = 72 e = 216 f = 90
	degree seq :: [ 4^54, 12^18 ]

E28.2272 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C3 x S3 x S3 (small group id <108, 38>)
Aut   = S3 x S3 x S3 (small group id <216, 162>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3 * Y2, Y3 * Y2 * Y3^-1 * Y2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3^2 * Y1 * Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1, Y2 * Y1 * Y3^2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1, Y3^2 * Y1 * Y3 * Y1 * Y3 * Y2 * Y1 * Y3^-1 * Y1, Y2 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110)(3, 111, 9, 117)(4, 112, 12, 120)(5, 113, 13, 121)(6, 114, 14, 122)(7, 115, 17, 125)(8, 116, 18, 126)(10, 118, 22, 130)(11, 119, 23, 131)(15, 123, 33, 141)(16, 124, 34, 142)(19, 127, 41, 149)(20, 128, 44, 152)(21, 129, 45, 153)(24, 132, 52, 160)(25, 133, 55, 163)(26, 134, 56, 164)(27, 135, 57, 165)(28, 136, 60, 168)(29, 137, 61, 169)(30, 138, 62, 170)(31, 139, 65, 173)(32, 140, 66, 174)(35, 143, 73, 181)(36, 144, 76, 184)(37, 145, 77, 185)(38, 146, 78, 186)(39, 147, 81, 189)(40, 148, 82, 190)(42, 150, 67, 175)(43, 151, 70, 178)(46, 154, 63, 171)(47, 155, 74, 182)(48, 156, 79, 187)(49, 157, 64, 172)(50, 158, 75, 183)(51, 159, 80, 188)(53, 161, 68, 176)(54, 162, 71, 179)(58, 166, 69, 177)(59, 167, 72, 180)(83, 191, 96, 204)(84, 192, 99, 207)(85, 193, 102, 210)(86, 194, 97, 205)(87, 195, 100, 208)(88, 196, 103, 211)(89, 197, 98, 206)(90, 198, 101, 209)(91, 199, 104, 212)(92, 200, 105, 213)(93, 201, 107, 215)(94, 202, 106, 214)(95, 203, 108, 216)(217, 325, 219, 327)(218, 326, 222, 330)(220, 328, 226, 334)(221, 329, 227, 335)(223, 331, 231, 339)(224, 332, 232, 340)(225, 333, 235, 343)(228, 336, 240, 348)(229, 337, 243, 351)(230, 338, 246, 354)(233, 341, 251, 359)(234, 342, 254, 362)(236, 344, 258, 366)(237, 345, 259, 367)(238, 346, 262, 370)(239, 347, 265, 373)(241, 349, 269, 377)(242, 350, 270, 378)(244, 352, 274, 382)(245, 353, 275, 383)(247, 355, 279, 387)(248, 356, 280, 388)(249, 357, 283, 391)(250, 358, 286, 394)(252, 360, 290, 398)(253, 361, 291, 399)(255, 363, 295, 403)(256, 364, 296, 404)(257, 365, 299, 407)(260, 368, 302, 410)(261, 369, 305, 413)(263, 371, 308, 416)(264, 372, 309, 417)(266, 374, 310, 418)(267, 375, 311, 419)(268, 376, 300, 408)(271, 379, 303, 411)(272, 380, 306, 414)(273, 381, 301, 409)(276, 384, 304, 412)(277, 385, 307, 415)(278, 386, 312, 420)(281, 389, 315, 423)(282, 390, 318, 426)(284, 392, 321, 429)(285, 393, 322, 430)(287, 395, 323, 431)(288, 396, 324, 432)(289, 397, 313, 421)(292, 400, 316, 424)(293, 401, 319, 427)(294, 402, 314, 422)(297, 405, 317, 425)(298, 406, 320, 428)
	L = (1, 220)(2, 223)(3, 226)(4, 227)(5, 217)(6, 231)(7, 232)(8, 218)(9, 236)(10, 221)(11, 219)(12, 241)(13, 244)(14, 247)(15, 224)(16, 222)(17, 252)(18, 255)(19, 258)(20, 259)(21, 225)(22, 263)(23, 266)(24, 269)(25, 270)(26, 228)(27, 274)(28, 275)(29, 229)(30, 279)(31, 280)(32, 230)(33, 284)(34, 287)(35, 290)(36, 291)(37, 233)(38, 295)(39, 296)(40, 234)(41, 300)(42, 237)(43, 235)(44, 303)(45, 306)(46, 308)(47, 309)(48, 238)(49, 310)(50, 311)(51, 239)(52, 301)(53, 242)(54, 240)(55, 304)(56, 307)(57, 299)(58, 245)(59, 243)(60, 302)(61, 305)(62, 313)(63, 248)(64, 246)(65, 316)(66, 319)(67, 321)(68, 322)(69, 249)(70, 323)(71, 324)(72, 250)(73, 314)(74, 253)(75, 251)(76, 317)(77, 320)(78, 312)(79, 256)(80, 254)(81, 315)(82, 318)(83, 268)(84, 273)(85, 257)(86, 271)(87, 276)(88, 260)(89, 272)(90, 277)(91, 261)(92, 264)(93, 262)(94, 267)(95, 265)(96, 289)(97, 294)(98, 278)(99, 292)(100, 297)(101, 281)(102, 293)(103, 298)(104, 282)(105, 285)(106, 283)(107, 288)(108, 286)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2301
Graph:: simple bipartite
	v = 108 e = 216 f = 54
	degree seq :: [ 4^108 ]

E28.2273 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C3 x S3 x S3 (small group id <108, 38>)
Aut   = S3 x S3 x S3 (small group id <216, 162>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y2 * Y1 * Y3 * Y2, Y3^6, Y2 * Y3^2 * Y2 * Y3^-2, (Y3 * Y2)^3, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2, (Y3^-1 * Y1 * Y3^-2)^2, Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1, Y3 * Y1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3^-1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110)(3, 111, 9, 117)(4, 112, 12, 120)(5, 113, 15, 123)(6, 114, 18, 126)(7, 115, 21, 129)(8, 116, 24, 132)(10, 118, 28, 136)(11, 119, 31, 139)(13, 121, 36, 144)(14, 122, 37, 145)(16, 124, 41, 149)(17, 125, 42, 150)(19, 127, 44, 152)(20, 128, 47, 155)(22, 130, 52, 160)(23, 131, 53, 161)(25, 133, 57, 165)(26, 134, 58, 166)(27, 135, 59, 167)(29, 137, 62, 170)(30, 138, 63, 171)(32, 140, 66, 174)(33, 141, 67, 175)(34, 142, 50, 158)(35, 143, 55, 163)(38, 146, 54, 162)(39, 147, 51, 159)(40, 148, 56, 164)(43, 151, 76, 184)(45, 153, 79, 187)(46, 154, 80, 188)(48, 156, 83, 191)(49, 157, 84, 192)(60, 168, 85, 193)(61, 169, 91, 199)(64, 172, 87, 195)(65, 173, 92, 200)(68, 176, 77, 185)(69, 177, 89, 197)(70, 178, 81, 189)(71, 179, 88, 196)(72, 180, 86, 194)(73, 181, 90, 198)(74, 182, 78, 186)(75, 183, 82, 190)(93, 201, 104, 212)(94, 202, 107, 215)(95, 203, 105, 213)(96, 204, 101, 209)(97, 205, 103, 211)(98, 206, 108, 216)(99, 207, 102, 210)(100, 208, 106, 214)(217, 325, 219, 327)(218, 326, 222, 330)(220, 328, 229, 337)(221, 329, 232, 340)(223, 331, 238, 346)(224, 332, 241, 349)(225, 333, 243, 351)(226, 334, 245, 353)(227, 335, 248, 356)(228, 336, 244, 352)(230, 338, 246, 354)(231, 339, 247, 355)(233, 341, 249, 357)(234, 342, 259, 367)(235, 343, 261, 369)(236, 344, 264, 372)(237, 345, 260, 368)(239, 347, 262, 370)(240, 348, 263, 371)(242, 350, 265, 373)(250, 358, 284, 392)(251, 359, 286, 394)(252, 360, 283, 391)(253, 361, 282, 390)(254, 362, 275, 383)(255, 363, 290, 398)(256, 364, 291, 399)(257, 365, 279, 387)(258, 366, 278, 386)(266, 374, 301, 409)(267, 375, 303, 411)(268, 376, 300, 408)(269, 377, 299, 407)(270, 378, 292, 400)(271, 379, 307, 415)(272, 380, 308, 416)(273, 381, 296, 404)(274, 382, 295, 403)(276, 384, 309, 417)(277, 385, 311, 419)(280, 388, 315, 423)(281, 389, 316, 424)(285, 393, 310, 418)(287, 395, 312, 420)(288, 396, 313, 421)(289, 397, 314, 422)(293, 401, 317, 425)(294, 402, 319, 427)(297, 405, 323, 431)(298, 406, 324, 432)(302, 410, 318, 426)(304, 412, 320, 428)(305, 413, 321, 429)(306, 414, 322, 430)
	L = (1, 220)(2, 223)(3, 226)(4, 230)(5, 217)(6, 235)(7, 239)(8, 218)(9, 238)(10, 246)(11, 219)(12, 250)(13, 248)(14, 254)(15, 255)(16, 234)(17, 221)(18, 229)(19, 262)(20, 222)(21, 266)(22, 264)(23, 270)(24, 271)(25, 225)(26, 224)(27, 265)(28, 276)(29, 232)(30, 259)(31, 280)(32, 275)(33, 227)(34, 285)(35, 228)(36, 284)(37, 288)(38, 233)(39, 289)(40, 231)(41, 290)(42, 287)(43, 249)(44, 293)(45, 241)(46, 243)(47, 297)(48, 292)(49, 236)(50, 302)(51, 237)(52, 301)(53, 305)(54, 242)(55, 306)(56, 240)(57, 307)(58, 304)(59, 245)(60, 310)(61, 244)(62, 309)(63, 313)(64, 314)(65, 247)(66, 315)(67, 312)(68, 311)(69, 258)(70, 252)(71, 251)(72, 256)(73, 253)(74, 316)(75, 257)(76, 261)(77, 318)(78, 260)(79, 317)(80, 321)(81, 322)(82, 263)(83, 323)(84, 320)(85, 319)(86, 274)(87, 268)(88, 267)(89, 272)(90, 269)(91, 324)(92, 273)(93, 286)(94, 283)(95, 278)(96, 277)(97, 281)(98, 279)(99, 291)(100, 282)(101, 303)(102, 300)(103, 295)(104, 294)(105, 298)(106, 296)(107, 308)(108, 299)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2300
Graph:: simple bipartite
	v = 108 e = 216 f = 54
	degree seq :: [ 4^108 ]

E28.2274 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
Aut   = S3 x S3 x S3 (small group id <216, 162>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^3, (Y3 * Y1 * Y2)^2, (Y3^-1 * Y1 * Y3^-1)^2, Y3^2 * Y2 * Y3^-2 * Y2, (Y3^-1 * Y1 * Y2)^2, Y3^6, Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y2 * Y1, (Y3 * Y1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110)(3, 111, 9, 117)(4, 112, 12, 120)(5, 113, 15, 123)(6, 114, 18, 126)(7, 115, 21, 129)(8, 116, 24, 132)(10, 118, 25, 133)(11, 119, 22, 130)(13, 121, 20, 128)(14, 122, 26, 134)(16, 124, 19, 127)(17, 125, 23, 131)(27, 135, 51, 159)(28, 136, 54, 162)(29, 137, 56, 164)(30, 138, 53, 161)(31, 139, 57, 165)(32, 140, 52, 160)(33, 141, 55, 163)(34, 142, 60, 168)(35, 143, 62, 170)(36, 144, 61, 169)(37, 145, 63, 171)(38, 146, 64, 172)(39, 147, 65, 173)(40, 148, 68, 176)(41, 149, 70, 178)(42, 150, 67, 175)(43, 151, 71, 179)(44, 152, 66, 174)(45, 153, 69, 177)(46, 154, 74, 182)(47, 155, 76, 184)(48, 156, 75, 183)(49, 157, 77, 185)(50, 158, 78, 186)(58, 166, 73, 181)(59, 167, 72, 180)(79, 187, 90, 198)(80, 188, 98, 206)(81, 189, 96, 204)(82, 190, 102, 210)(83, 191, 101, 209)(84, 192, 103, 211)(85, 193, 92, 200)(86, 194, 104, 212)(87, 195, 91, 199)(88, 196, 100, 208)(89, 197, 99, 207)(93, 201, 106, 214)(94, 202, 105, 213)(95, 203, 107, 215)(97, 205, 108, 216)(217, 325, 219, 327)(218, 326, 222, 330)(220, 328, 229, 337)(221, 329, 232, 340)(223, 331, 238, 346)(224, 332, 241, 349)(225, 333, 243, 351)(226, 334, 246, 354)(227, 335, 248, 356)(228, 336, 245, 353)(230, 338, 247, 355)(231, 339, 244, 352)(233, 341, 249, 357)(234, 342, 255, 363)(235, 343, 258, 366)(236, 344, 260, 368)(237, 345, 257, 365)(239, 347, 259, 367)(240, 348, 256, 364)(242, 350, 261, 369)(250, 358, 277, 385)(251, 359, 268, 376)(252, 360, 275, 383)(253, 361, 274, 382)(254, 362, 269, 377)(262, 370, 291, 399)(263, 371, 282, 390)(264, 372, 289, 397)(265, 373, 288, 396)(266, 374, 283, 391)(267, 375, 295, 403)(270, 378, 297, 405)(271, 379, 298, 406)(272, 380, 296, 404)(273, 381, 299, 407)(276, 384, 300, 408)(278, 386, 303, 411)(279, 387, 302, 410)(280, 388, 301, 409)(281, 389, 306, 414)(284, 392, 308, 416)(285, 393, 309, 417)(286, 394, 307, 415)(287, 395, 310, 418)(290, 398, 311, 419)(292, 400, 314, 422)(293, 401, 313, 421)(294, 402, 312, 420)(304, 412, 318, 426)(305, 413, 317, 425)(315, 423, 322, 430)(316, 424, 321, 429)(319, 427, 324, 432)(320, 428, 323, 431)
	L = (1, 220)(2, 223)(3, 226)(4, 230)(5, 217)(6, 235)(7, 239)(8, 218)(9, 244)(10, 247)(11, 219)(12, 250)(13, 248)(14, 253)(15, 254)(16, 252)(17, 221)(18, 256)(19, 259)(20, 222)(21, 262)(22, 260)(23, 265)(24, 266)(25, 264)(26, 224)(27, 268)(28, 271)(29, 225)(30, 232)(31, 275)(32, 274)(33, 227)(34, 231)(35, 228)(36, 229)(37, 233)(38, 279)(39, 282)(40, 285)(41, 234)(42, 241)(43, 289)(44, 288)(45, 236)(46, 240)(47, 237)(48, 238)(49, 242)(50, 293)(51, 296)(52, 298)(53, 243)(54, 300)(55, 302)(56, 303)(57, 245)(58, 246)(59, 249)(60, 304)(61, 299)(62, 295)(63, 251)(64, 305)(65, 307)(66, 309)(67, 255)(68, 311)(69, 313)(70, 314)(71, 257)(72, 258)(73, 261)(74, 315)(75, 310)(76, 306)(77, 263)(78, 316)(79, 280)(80, 317)(81, 267)(82, 277)(83, 269)(84, 272)(85, 270)(86, 273)(87, 320)(88, 278)(89, 276)(90, 294)(91, 321)(92, 281)(93, 291)(94, 283)(95, 286)(96, 284)(97, 287)(98, 324)(99, 292)(100, 290)(101, 323)(102, 297)(103, 322)(104, 301)(105, 319)(106, 308)(107, 318)(108, 312)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2299
Graph:: simple bipartite
	v = 108 e = 216 f = 54
	degree seq :: [ 4^108 ]

E28.2275 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C3 x S3 x S3 (small group id <108, 38>)
Aut   = S3 x S3 x S3 (small group id <216, 162>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, Y3^2 * Y2 * Y3^-2 * Y2^-1, Y3^6, Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, (Y3 * Y2^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110)(3, 111, 7, 115)(4, 112, 10, 118)(5, 113, 9, 117)(6, 114, 8, 116)(11, 119, 22, 130)(12, 120, 21, 129)(13, 121, 28, 136)(14, 122, 30, 138)(15, 123, 29, 137)(16, 124, 27, 135)(17, 125, 26, 134)(18, 126, 23, 131)(19, 127, 25, 133)(20, 128, 24, 132)(31, 139, 53, 161)(32, 140, 55, 163)(33, 141, 54, 162)(34, 142, 50, 158)(35, 143, 52, 160)(36, 144, 51, 159)(37, 145, 67, 175)(38, 146, 57, 165)(39, 147, 58, 166)(40, 148, 66, 174)(41, 149, 68, 176)(42, 150, 61, 169)(43, 151, 64, 172)(44, 152, 65, 173)(45, 153, 62, 170)(46, 154, 63, 171)(47, 155, 59, 167)(48, 156, 56, 164)(49, 157, 60, 168)(69, 177, 90, 198)(70, 178, 86, 194)(71, 179, 87, 195)(72, 180, 91, 199)(73, 181, 89, 197)(74, 182, 85, 193)(75, 183, 88, 196)(76, 184, 92, 200)(77, 185, 99, 207)(78, 186, 94, 202)(79, 187, 95, 203)(80, 188, 96, 204)(81, 189, 100, 208)(82, 190, 98, 206)(83, 191, 93, 201)(84, 192, 97, 205)(101, 209, 105, 213)(102, 210, 106, 214)(103, 211, 107, 215)(104, 212, 108, 216)(217, 325, 219, 327, 221, 329)(218, 326, 223, 331, 225, 333)(220, 328, 229, 337, 231, 339)(222, 330, 234, 342, 235, 343)(224, 332, 239, 347, 241, 349)(226, 334, 244, 352, 245, 353)(227, 335, 247, 355, 249, 357)(228, 336, 250, 358, 251, 359)(230, 338, 248, 356, 256, 364)(232, 340, 259, 367, 260, 368)(233, 341, 261, 369, 262, 370)(236, 344, 252, 360, 263, 371)(237, 345, 266, 374, 268, 376)(238, 346, 269, 377, 270, 378)(240, 348, 267, 375, 275, 383)(242, 350, 278, 386, 279, 387)(243, 351, 280, 388, 281, 389)(246, 354, 271, 379, 282, 390)(253, 361, 285, 393, 293, 401)(254, 362, 286, 394, 294, 402)(255, 363, 292, 400, 295, 403)(257, 365, 288, 396, 297, 405)(258, 366, 289, 397, 298, 406)(264, 372, 290, 398, 299, 407)(265, 373, 291, 399, 300, 408)(272, 380, 301, 409, 309, 417)(273, 381, 302, 410, 310, 418)(274, 382, 308, 416, 311, 419)(276, 384, 304, 412, 313, 421)(277, 385, 305, 413, 314, 422)(283, 391, 306, 414, 315, 423)(284, 392, 307, 415, 316, 424)(287, 395, 317, 425, 318, 426)(296, 404, 319, 427, 320, 428)(303, 411, 321, 429, 322, 430)(312, 420, 323, 431, 324, 432)
	L = (1, 220)(2, 224)(3, 227)(4, 230)(5, 232)(6, 217)(7, 237)(8, 240)(9, 242)(10, 218)(11, 248)(12, 219)(13, 253)(14, 255)(15, 257)(16, 256)(17, 221)(18, 254)(19, 258)(20, 222)(21, 267)(22, 223)(23, 272)(24, 274)(25, 276)(26, 275)(27, 225)(28, 273)(29, 277)(30, 226)(31, 285)(32, 287)(33, 288)(34, 286)(35, 289)(36, 228)(37, 292)(38, 229)(39, 236)(40, 296)(41, 295)(42, 231)(43, 293)(44, 297)(45, 294)(46, 298)(47, 233)(48, 234)(49, 235)(50, 301)(51, 303)(52, 304)(53, 302)(54, 305)(55, 238)(56, 308)(57, 239)(58, 246)(59, 312)(60, 311)(61, 241)(62, 309)(63, 313)(64, 310)(65, 314)(66, 243)(67, 244)(68, 245)(69, 317)(70, 247)(71, 252)(72, 318)(73, 249)(74, 250)(75, 251)(76, 264)(77, 319)(78, 259)(79, 265)(80, 263)(81, 320)(82, 260)(83, 261)(84, 262)(85, 321)(86, 266)(87, 271)(88, 322)(89, 268)(90, 269)(91, 270)(92, 283)(93, 323)(94, 278)(95, 284)(96, 282)(97, 324)(98, 279)(99, 280)(100, 281)(101, 290)(102, 291)(103, 299)(104, 300)(105, 306)(106, 307)(107, 315)(108, 316)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2296
Graph:: simple bipartite
	v = 90 e = 216 f = 72
	degree seq :: [ 4^54, 6^36 ]

E28.2276 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C3 x S3 x S3 (small group id <108, 38>)
Aut   = S3 x S3 x S3 (small group id <216, 162>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y1 * Y3^-1)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y2 * Y3^-1 * Y1 * Y2^-1 * Y1, Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y1, Y3 * Y2^-1 * Y3^-2 * Y2 * Y3, (R * Y2 * Y3^-1)^2, Y3^6, Y2^-1 * Y3 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y3^-1, Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y1, (Y3 * Y2^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110)(3, 111, 11, 119)(4, 112, 10, 118)(5, 113, 17, 125)(6, 114, 8, 116)(7, 115, 23, 131)(9, 117, 29, 137)(12, 120, 32, 140)(13, 121, 26, 134)(14, 122, 25, 133)(15, 123, 34, 142)(16, 124, 31, 139)(18, 126, 33, 141)(19, 127, 28, 136)(20, 128, 24, 132)(21, 129, 30, 138)(22, 130, 27, 135)(35, 143, 56, 164)(36, 144, 68, 176)(37, 145, 61, 169)(38, 146, 75, 183)(39, 147, 72, 180)(40, 148, 58, 166)(41, 149, 70, 178)(42, 150, 64, 172)(43, 151, 63, 171)(44, 152, 65, 173)(45, 153, 76, 184)(46, 154, 74, 182)(47, 155, 57, 165)(48, 156, 69, 177)(49, 157, 62, 170)(50, 158, 73, 181)(51, 159, 60, 168)(52, 160, 71, 179)(53, 161, 67, 175)(54, 162, 59, 167)(55, 163, 66, 174)(77, 185, 92, 200)(78, 186, 94, 202)(79, 187, 99, 207)(80, 188, 89, 197)(81, 189, 95, 203)(82, 190, 90, 198)(83, 191, 93, 201)(84, 192, 97, 205)(85, 193, 96, 204)(86, 194, 100, 208)(87, 195, 91, 199)(88, 196, 98, 206)(101, 209, 105, 213)(102, 210, 107, 215)(103, 211, 106, 214)(104, 212, 108, 216)(217, 325, 219, 327, 221, 329)(218, 326, 223, 331, 225, 333)(220, 328, 230, 338, 232, 340)(222, 330, 236, 344, 237, 345)(224, 332, 242, 350, 244, 352)(226, 334, 248, 356, 249, 357)(227, 335, 251, 359, 252, 360)(228, 336, 253, 361, 255, 363)(229, 337, 256, 364, 257, 365)(231, 339, 254, 362, 261, 369)(233, 341, 263, 371, 264, 372)(234, 342, 265, 373, 266, 374)(235, 343, 267, 375, 268, 376)(238, 346, 258, 366, 269, 377)(239, 347, 272, 380, 273, 381)(240, 348, 274, 382, 276, 384)(241, 349, 277, 385, 278, 386)(243, 351, 275, 383, 282, 390)(245, 353, 284, 392, 285, 393)(246, 354, 286, 394, 287, 395)(247, 355, 288, 396, 289, 397)(250, 358, 279, 387, 290, 398)(259, 367, 293, 401, 299, 407)(260, 368, 298, 406, 300, 408)(262, 370, 295, 403, 302, 410)(270, 378, 296, 404, 303, 411)(271, 379, 297, 405, 304, 412)(280, 388, 305, 413, 311, 419)(281, 389, 310, 418, 312, 420)(283, 391, 307, 415, 314, 422)(291, 399, 308, 416, 315, 423)(292, 400, 309, 417, 316, 424)(294, 402, 317, 425, 318, 426)(301, 409, 319, 427, 320, 428)(306, 414, 321, 429, 322, 430)(313, 421, 323, 431, 324, 432)
	L = (1, 220)(2, 224)(3, 228)(4, 231)(5, 234)(6, 217)(7, 240)(8, 243)(9, 246)(10, 218)(11, 242)(12, 254)(13, 219)(14, 259)(15, 260)(16, 262)(17, 244)(18, 261)(19, 221)(20, 239)(21, 245)(22, 222)(23, 230)(24, 275)(25, 223)(26, 280)(27, 281)(28, 283)(29, 232)(30, 282)(31, 225)(32, 227)(33, 233)(34, 226)(35, 274)(36, 286)(37, 293)(38, 294)(39, 295)(40, 272)(41, 284)(42, 229)(43, 298)(44, 238)(45, 301)(46, 300)(47, 276)(48, 287)(49, 299)(50, 302)(51, 273)(52, 285)(53, 235)(54, 236)(55, 237)(56, 253)(57, 265)(58, 305)(59, 306)(60, 307)(61, 251)(62, 263)(63, 241)(64, 310)(65, 250)(66, 313)(67, 312)(68, 255)(69, 266)(70, 311)(71, 314)(72, 252)(73, 264)(74, 247)(75, 248)(76, 249)(77, 317)(78, 258)(79, 318)(80, 256)(81, 257)(82, 270)(83, 319)(84, 271)(85, 269)(86, 320)(87, 267)(88, 268)(89, 321)(90, 279)(91, 322)(92, 277)(93, 278)(94, 291)(95, 323)(96, 292)(97, 290)(98, 324)(99, 288)(100, 289)(101, 296)(102, 297)(103, 303)(104, 304)(105, 308)(106, 309)(107, 315)(108, 316)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2291
Graph:: simple bipartite
	v = 90 e = 216 f = 72
	degree seq :: [ 4^54, 6^36 ]

E28.2277 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = (C3 x ((C3 x C3) : C2)) : C2 (small group id <108, 40>)
Aut   = S3 x S3 x S3 (small group id <216, 162>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^-1 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, R * Y2 * R * Y2^-1, Y3^6, Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110)(3, 111, 11, 119)(4, 112, 10, 118)(5, 113, 16, 124)(6, 114, 8, 116)(7, 115, 19, 127)(9, 117, 24, 132)(12, 120, 30, 138)(13, 121, 28, 136)(14, 122, 33, 141)(15, 123, 26, 134)(17, 125, 37, 145)(18, 126, 23, 131)(20, 128, 43, 151)(21, 129, 41, 149)(22, 130, 46, 154)(25, 133, 50, 158)(27, 135, 40, 148)(29, 137, 49, 157)(31, 139, 58, 166)(32, 140, 56, 164)(34, 142, 62, 170)(35, 143, 48, 156)(36, 144, 42, 150)(38, 146, 51, 159)(39, 147, 66, 174)(44, 152, 72, 180)(45, 153, 70, 178)(47, 155, 76, 184)(52, 160, 80, 188)(53, 161, 68, 176)(54, 162, 67, 175)(55, 163, 75, 183)(57, 165, 78, 186)(59, 167, 84, 192)(60, 168, 79, 187)(61, 169, 69, 177)(63, 171, 88, 196)(64, 172, 71, 179)(65, 173, 74, 182)(73, 181, 94, 202)(77, 185, 98, 206)(81, 189, 92, 200)(82, 190, 91, 199)(83, 191, 97, 205)(85, 193, 99, 207)(86, 194, 100, 208)(87, 195, 93, 201)(89, 197, 95, 203)(90, 198, 96, 204)(101, 209, 105, 213)(102, 210, 108, 216)(103, 211, 107, 215)(104, 212, 106, 214)(217, 325, 219, 327, 221, 329)(218, 326, 223, 331, 225, 333)(220, 328, 230, 338, 228, 336)(222, 330, 233, 341, 229, 337)(224, 332, 238, 346, 236, 344)(226, 334, 241, 349, 237, 345)(227, 335, 243, 351, 245, 353)(231, 339, 247, 355, 250, 358)(232, 340, 252, 360, 254, 362)(234, 342, 248, 356, 255, 363)(235, 343, 256, 364, 258, 366)(239, 347, 260, 368, 263, 371)(240, 348, 265, 373, 267, 375)(242, 350, 261, 369, 268, 376)(244, 352, 271, 379, 269, 377)(246, 354, 273, 381, 270, 378)(249, 357, 276, 384, 277, 385)(251, 359, 279, 387, 275, 383)(253, 361, 281, 389, 280, 388)(257, 365, 285, 393, 283, 391)(259, 367, 287, 395, 284, 392)(262, 370, 290, 398, 291, 399)(264, 372, 293, 401, 289, 397)(266, 374, 295, 403, 294, 402)(272, 380, 297, 405, 299, 407)(274, 382, 298, 406, 301, 409)(278, 386, 303, 411, 302, 410)(282, 390, 305, 413, 306, 414)(286, 394, 307, 415, 309, 417)(288, 396, 308, 416, 311, 419)(292, 400, 313, 421, 312, 420)(296, 404, 315, 423, 316, 424)(300, 408, 318, 426, 317, 425)(304, 412, 319, 427, 320, 428)(310, 418, 322, 430, 321, 429)(314, 422, 323, 431, 324, 432)
	L = (1, 220)(2, 224)(3, 228)(4, 231)(5, 230)(6, 217)(7, 236)(8, 239)(9, 238)(10, 218)(11, 244)(12, 247)(13, 219)(14, 250)(15, 251)(16, 253)(17, 221)(18, 222)(19, 257)(20, 260)(21, 223)(22, 263)(23, 264)(24, 266)(25, 225)(26, 226)(27, 269)(28, 272)(29, 271)(30, 227)(31, 275)(32, 229)(33, 232)(34, 279)(35, 234)(36, 280)(37, 282)(38, 281)(39, 233)(40, 283)(41, 286)(42, 285)(43, 235)(44, 289)(45, 237)(46, 240)(47, 293)(48, 242)(49, 294)(50, 296)(51, 295)(52, 241)(53, 297)(54, 243)(55, 299)(56, 300)(57, 245)(58, 246)(59, 248)(60, 254)(61, 252)(62, 249)(63, 255)(64, 305)(65, 306)(66, 304)(67, 307)(68, 256)(69, 309)(70, 310)(71, 258)(72, 259)(73, 261)(74, 267)(75, 265)(76, 262)(77, 268)(78, 315)(79, 316)(80, 314)(81, 317)(82, 270)(83, 318)(84, 274)(85, 273)(86, 276)(87, 277)(88, 278)(89, 320)(90, 319)(91, 321)(92, 284)(93, 322)(94, 288)(95, 287)(96, 290)(97, 291)(98, 292)(99, 324)(100, 323)(101, 298)(102, 301)(103, 302)(104, 303)(105, 308)(106, 311)(107, 312)(108, 313)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2298
Graph:: simple bipartite
	v = 90 e = 216 f = 72
	degree seq :: [ 4^54, 6^36 ]

E28.2278 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C3 x S3 x S3 (small group id <108, 38>)
Aut   = S3 x S3 x S3 (small group id <216, 162>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^3, (R * Y1)^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y2 * Y3)^2, Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3, (Y1 * Y2 * Y3 * Y2^-1)^2, (Y3 * Y2 * Y1 * Y2^-1)^2, Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, Y2^-1 * R * Y2^-1 * Y1 * Y2 * R * Y2 * Y1, Y1 * Y2 * R * Y1 * Y2^-1 * Y1 * Y2 * Y1 * R * Y2^-1, Y2^-1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110)(3, 111, 9, 117)(4, 112, 7, 115)(5, 113, 13, 121)(6, 114, 15, 123)(8, 116, 19, 127)(10, 118, 22, 130)(11, 119, 26, 134)(12, 120, 28, 136)(14, 122, 31, 139)(16, 124, 36, 144)(17, 125, 40, 148)(18, 126, 42, 150)(20, 128, 45, 153)(21, 129, 35, 143)(23, 131, 44, 152)(24, 132, 53, 161)(25, 133, 39, 147)(27, 135, 57, 165)(29, 137, 60, 168)(30, 138, 37, 145)(32, 140, 46, 154)(33, 141, 47, 155)(34, 142, 66, 174)(38, 146, 71, 179)(41, 149, 75, 183)(43, 151, 78, 186)(48, 156, 84, 192)(49, 157, 67, 175)(50, 158, 68, 176)(51, 159, 87, 195)(52, 160, 77, 185)(54, 162, 90, 198)(55, 163, 73, 181)(56, 164, 74, 182)(58, 166, 76, 184)(59, 167, 70, 178)(61, 169, 79, 187)(62, 170, 96, 204)(63, 171, 97, 205)(64, 172, 82, 190)(65, 173, 83, 191)(69, 177, 89, 197)(72, 180, 101, 209)(80, 188, 107, 215)(81, 189, 85, 193)(86, 194, 99, 207)(88, 196, 104, 212)(91, 199, 102, 210)(92, 200, 108, 216)(93, 201, 100, 208)(94, 202, 105, 213)(95, 203, 106, 214)(98, 206, 103, 211)(217, 325, 219, 327, 221, 329)(218, 326, 222, 330, 224, 332)(220, 328, 227, 335, 228, 336)(223, 331, 233, 341, 234, 342)(225, 333, 237, 345, 239, 347)(226, 334, 240, 348, 241, 349)(229, 337, 246, 354, 248, 356)(230, 338, 249, 357, 250, 358)(231, 339, 251, 359, 253, 361)(232, 340, 254, 362, 255, 363)(235, 343, 260, 368, 262, 370)(236, 344, 263, 371, 264, 372)(238, 346, 266, 374, 267, 375)(242, 350, 272, 380, 268, 376)(243, 351, 270, 378, 274, 382)(244, 352, 275, 383, 277, 385)(245, 353, 271, 379, 278, 386)(247, 355, 279, 387, 280, 388)(252, 360, 284, 392, 285, 393)(256, 364, 290, 398, 286, 394)(257, 365, 288, 396, 292, 400)(258, 366, 293, 401, 295, 403)(259, 367, 289, 397, 296, 404)(261, 369, 297, 405, 298, 406)(265, 373, 301, 409, 282, 390)(269, 377, 305, 413, 281, 389)(273, 381, 302, 410, 308, 416)(276, 384, 309, 417, 310, 418)(283, 391, 313, 421, 300, 408)(287, 395, 303, 411, 299, 407)(291, 399, 315, 423, 319, 427)(294, 402, 320, 428, 321, 429)(304, 412, 312, 420, 307, 415)(306, 414, 314, 422, 311, 419)(316, 424, 323, 431, 318, 426)(317, 425, 324, 432, 322, 430)
	L = (1, 220)(2, 223)(3, 226)(4, 217)(5, 230)(6, 232)(7, 218)(8, 236)(9, 238)(10, 219)(11, 243)(12, 245)(13, 247)(14, 221)(15, 252)(16, 222)(17, 257)(18, 259)(19, 261)(20, 224)(21, 265)(22, 225)(23, 268)(24, 270)(25, 271)(26, 273)(27, 227)(28, 276)(29, 228)(30, 275)(31, 229)(32, 281)(33, 274)(34, 278)(35, 283)(36, 231)(37, 286)(38, 288)(39, 289)(40, 291)(41, 233)(42, 294)(43, 234)(44, 293)(45, 235)(46, 299)(47, 292)(48, 296)(49, 237)(50, 302)(51, 304)(52, 239)(53, 306)(54, 240)(55, 241)(56, 307)(57, 242)(58, 249)(59, 246)(60, 244)(61, 311)(62, 250)(63, 314)(64, 310)(65, 248)(66, 312)(67, 251)(68, 315)(69, 316)(70, 253)(71, 317)(72, 254)(73, 255)(74, 318)(75, 256)(76, 263)(77, 260)(78, 258)(79, 322)(80, 264)(81, 324)(82, 321)(83, 262)(84, 323)(85, 308)(86, 266)(87, 320)(88, 267)(89, 309)(90, 269)(91, 272)(92, 301)(93, 305)(94, 280)(95, 277)(96, 282)(97, 319)(98, 279)(99, 284)(100, 285)(101, 287)(102, 290)(103, 313)(104, 303)(105, 298)(106, 295)(107, 300)(108, 297)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2292
Graph:: simple bipartite
	v = 90 e = 216 f = 72
	degree seq :: [ 4^54, 6^36 ]

E28.2279 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C3 x S3 x S3 (small group id <108, 38>)
Aut   = S3 x S3 x S3 (small group id <216, 162>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^3, (R * Y1)^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y2 * Y3)^2, (R * Y2^-1 * Y1 * Y2^-1)^2, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1, Y2^-1 * Y1 * Y2^-1 * Y3 * Y2 * Y1 * Y2 * Y3, Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1, Y1 * Y2 * Y3 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y3 * Y2, Y1 * Y2 * R * Y1 * Y2 * Y1 * Y2 * Y1 * R * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110)(3, 111, 9, 117)(4, 112, 7, 115)(5, 113, 13, 121)(6, 114, 15, 123)(8, 116, 19, 127)(10, 118, 22, 130)(11, 119, 26, 134)(12, 120, 28, 136)(14, 122, 31, 139)(16, 124, 36, 144)(17, 125, 40, 148)(18, 126, 42, 150)(20, 128, 45, 153)(21, 129, 35, 143)(23, 131, 44, 152)(24, 132, 53, 161)(25, 133, 47, 155)(27, 135, 56, 164)(29, 137, 60, 168)(30, 138, 37, 145)(32, 140, 46, 154)(33, 141, 39, 147)(34, 142, 66, 174)(38, 146, 71, 179)(41, 149, 74, 182)(43, 151, 78, 186)(48, 156, 84, 192)(49, 157, 67, 175)(50, 158, 85, 193)(51, 159, 82, 190)(52, 160, 81, 189)(54, 162, 89, 197)(55, 163, 76, 184)(57, 165, 77, 185)(58, 166, 73, 181)(59, 167, 75, 183)(61, 169, 79, 187)(62, 170, 96, 204)(63, 171, 70, 178)(64, 172, 69, 177)(65, 173, 97, 205)(68, 176, 88, 196)(72, 180, 101, 209)(80, 188, 107, 215)(83, 191, 90, 198)(86, 194, 102, 210)(87, 195, 105, 213)(91, 199, 99, 207)(92, 200, 104, 212)(93, 201, 103, 211)(94, 202, 100, 208)(95, 203, 108, 216)(98, 206, 106, 214)(217, 325, 219, 327, 221, 329)(218, 326, 222, 330, 224, 332)(220, 328, 227, 335, 228, 336)(223, 331, 233, 341, 234, 342)(225, 333, 237, 345, 239, 347)(226, 334, 240, 348, 241, 349)(229, 337, 246, 354, 248, 356)(230, 338, 249, 357, 250, 358)(231, 339, 251, 359, 253, 361)(232, 340, 254, 362, 255, 363)(235, 343, 260, 368, 262, 370)(236, 344, 263, 371, 264, 372)(238, 346, 266, 374, 267, 375)(242, 350, 265, 373, 273, 381)(243, 351, 270, 378, 274, 382)(244, 352, 275, 383, 277, 385)(245, 353, 271, 379, 278, 386)(247, 355, 280, 388, 281, 389)(252, 360, 284, 392, 285, 393)(256, 364, 283, 391, 291, 399)(257, 365, 288, 396, 292, 400)(258, 366, 293, 401, 295, 403)(259, 367, 289, 397, 296, 404)(261, 369, 298, 406, 299, 407)(268, 376, 282, 390, 304, 412)(269, 377, 279, 387, 306, 414)(272, 380, 307, 415, 303, 411)(276, 384, 310, 418, 311, 419)(286, 394, 300, 408, 301, 409)(287, 395, 297, 405, 313, 421)(290, 398, 318, 426, 316, 424)(294, 402, 321, 429, 322, 430)(302, 410, 308, 416, 312, 420)(305, 413, 309, 417, 314, 422)(315, 423, 319, 427, 323, 431)(317, 425, 320, 428, 324, 432)
	L = (1, 220)(2, 223)(3, 226)(4, 217)(5, 230)(6, 232)(7, 218)(8, 236)(9, 238)(10, 219)(11, 243)(12, 245)(13, 247)(14, 221)(15, 252)(16, 222)(17, 257)(18, 259)(19, 261)(20, 224)(21, 265)(22, 225)(23, 268)(24, 270)(25, 271)(26, 272)(27, 227)(28, 276)(29, 228)(30, 279)(31, 229)(32, 277)(33, 274)(34, 278)(35, 283)(36, 231)(37, 286)(38, 288)(39, 289)(40, 290)(41, 233)(42, 294)(43, 234)(44, 297)(45, 235)(46, 295)(47, 292)(48, 296)(49, 237)(50, 302)(51, 303)(52, 239)(53, 305)(54, 240)(55, 241)(56, 242)(57, 308)(58, 249)(59, 309)(60, 244)(61, 248)(62, 250)(63, 246)(64, 310)(65, 314)(66, 312)(67, 251)(68, 315)(69, 316)(70, 253)(71, 317)(72, 254)(73, 255)(74, 256)(75, 319)(76, 263)(77, 320)(78, 258)(79, 262)(80, 264)(81, 260)(82, 321)(83, 324)(84, 323)(85, 318)(86, 266)(87, 267)(88, 307)(89, 269)(90, 311)(91, 304)(92, 273)(93, 275)(94, 280)(95, 306)(96, 282)(97, 322)(98, 281)(99, 284)(100, 285)(101, 287)(102, 301)(103, 291)(104, 293)(105, 298)(106, 313)(107, 300)(108, 299)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2287
Graph:: simple bipartite
	v = 90 e = 216 f = 72
	degree seq :: [ 4^54, 6^36 ]

E28.2280 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C3 x S3 x S3 (small group id <108, 38>)
Aut   = S3 x S3 x S3 (small group id <216, 162>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^3, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3)^2, (R * Y2^-1 * Y1 * Y2)^2, Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y2^-1 * R * Y2 * Y1)^2, Y3 * Y2^-1 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2^-1, Y1 * Y2 * R * Y1 * Y2 * Y1 * Y2^-1 * Y1 * R * Y2^-1, Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110)(3, 111, 9, 117)(4, 112, 7, 115)(5, 113, 13, 121)(6, 114, 15, 123)(8, 116, 19, 127)(10, 118, 22, 130)(11, 119, 26, 134)(12, 120, 28, 136)(14, 122, 31, 139)(16, 124, 36, 144)(17, 125, 40, 148)(18, 126, 42, 150)(20, 128, 45, 153)(21, 129, 35, 143)(23, 131, 44, 152)(24, 132, 38, 146)(25, 133, 54, 162)(27, 135, 57, 165)(29, 137, 60, 168)(30, 138, 37, 145)(32, 140, 46, 154)(33, 141, 66, 174)(34, 142, 48, 156)(39, 147, 72, 180)(41, 149, 75, 183)(43, 151, 78, 186)(47, 155, 84, 192)(49, 157, 67, 175)(50, 158, 86, 194)(51, 159, 69, 177)(52, 160, 76, 184)(53, 161, 71, 179)(55, 163, 89, 197)(56, 164, 74, 182)(58, 166, 70, 178)(59, 167, 94, 202)(61, 169, 79, 187)(62, 170, 80, 188)(63, 171, 81, 189)(64, 172, 97, 205)(65, 173, 83, 191)(68, 176, 90, 198)(73, 181, 101, 209)(77, 185, 105, 213)(82, 190, 85, 193)(87, 195, 103, 211)(88, 196, 100, 208)(91, 199, 102, 210)(92, 200, 99, 207)(93, 201, 104, 212)(95, 203, 108, 216)(96, 204, 107, 215)(98, 206, 106, 214)(217, 325, 219, 327, 221, 329)(218, 326, 222, 330, 224, 332)(220, 328, 227, 335, 228, 336)(223, 331, 233, 341, 234, 342)(225, 333, 237, 345, 239, 347)(226, 334, 240, 348, 241, 349)(229, 337, 246, 354, 248, 356)(230, 338, 249, 357, 250, 358)(231, 339, 251, 359, 253, 361)(232, 340, 254, 362, 255, 363)(235, 343, 260, 368, 262, 370)(236, 344, 263, 371, 264, 372)(238, 346, 266, 374, 267, 375)(242, 350, 272, 380, 274, 382)(243, 351, 269, 377, 275, 383)(244, 352, 268, 376, 277, 385)(245, 353, 271, 379, 278, 386)(247, 355, 279, 387, 280, 388)(252, 360, 284, 392, 285, 393)(256, 364, 290, 398, 292, 400)(257, 365, 287, 395, 293, 401)(258, 366, 286, 394, 295, 403)(259, 367, 289, 397, 296, 404)(261, 369, 297, 405, 298, 406)(265, 373, 282, 390, 301, 409)(270, 378, 281, 389, 306, 414)(273, 381, 308, 416, 309, 417)(276, 384, 304, 412, 311, 419)(283, 391, 300, 408, 313, 421)(288, 396, 299, 407, 302, 410)(291, 399, 319, 427, 320, 428)(294, 402, 316, 424, 322, 430)(303, 411, 310, 418, 312, 420)(305, 413, 314, 422, 307, 415)(315, 423, 321, 429, 323, 431)(317, 425, 324, 432, 318, 426)
	L = (1, 220)(2, 223)(3, 226)(4, 217)(5, 230)(6, 232)(7, 218)(8, 236)(9, 238)(10, 219)(11, 243)(12, 245)(13, 247)(14, 221)(15, 252)(16, 222)(17, 257)(18, 259)(19, 261)(20, 224)(21, 265)(22, 225)(23, 268)(24, 269)(25, 271)(26, 273)(27, 227)(28, 276)(29, 228)(30, 274)(31, 229)(32, 281)(33, 275)(34, 278)(35, 283)(36, 231)(37, 286)(38, 287)(39, 289)(40, 291)(41, 233)(42, 294)(43, 234)(44, 292)(45, 235)(46, 299)(47, 293)(48, 296)(49, 237)(50, 303)(51, 304)(52, 239)(53, 240)(54, 305)(55, 241)(56, 307)(57, 242)(58, 246)(59, 249)(60, 244)(61, 312)(62, 250)(63, 309)(64, 314)(65, 248)(66, 310)(67, 251)(68, 315)(69, 316)(70, 253)(71, 254)(72, 317)(73, 255)(74, 318)(75, 256)(76, 260)(77, 263)(78, 258)(79, 323)(80, 264)(81, 320)(82, 324)(83, 262)(84, 321)(85, 311)(86, 319)(87, 266)(88, 267)(89, 270)(90, 308)(91, 272)(92, 306)(93, 279)(94, 282)(95, 301)(96, 277)(97, 322)(98, 280)(99, 284)(100, 285)(101, 288)(102, 290)(103, 302)(104, 297)(105, 300)(106, 313)(107, 295)(108, 298)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2288
Graph:: simple bipartite
	v = 90 e = 216 f = 72
	degree seq :: [ 4^54, 6^36 ]

E28.2281 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = (C3 x ((C3 x C3) : C2)) : C2 (small group id <108, 40>)
Aut   = S3 x S3 x S3 (small group id <216, 162>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^3, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3)^2, Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y3, Y2 * R * Y2^-1 * Y1 * Y2^-1 * R * Y2 * Y1, Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1, Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1, (Y2 * Y3 * Y2 * Y1)^2, Y1 * Y2 * R * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * R * Y2, Y1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1 * Y2 * Y3 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110)(3, 111, 9, 117)(4, 112, 7, 115)(5, 113, 13, 121)(6, 114, 15, 123)(8, 116, 19, 127)(10, 118, 22, 130)(11, 119, 26, 134)(12, 120, 28, 136)(14, 122, 31, 139)(16, 124, 36, 144)(17, 125, 40, 148)(18, 126, 42, 150)(20, 128, 45, 153)(21, 129, 35, 143)(23, 131, 44, 152)(24, 132, 48, 156)(25, 133, 54, 162)(27, 135, 57, 165)(29, 137, 61, 169)(30, 138, 37, 145)(32, 140, 46, 154)(33, 141, 66, 174)(34, 142, 38, 146)(39, 147, 72, 180)(41, 149, 75, 183)(43, 151, 79, 187)(47, 155, 84, 192)(49, 157, 67, 175)(50, 158, 83, 191)(51, 159, 86, 194)(52, 160, 81, 189)(53, 161, 80, 188)(55, 163, 90, 198)(56, 164, 74, 182)(58, 166, 78, 186)(59, 167, 94, 202)(60, 168, 76, 184)(62, 170, 71, 179)(63, 171, 70, 178)(64, 172, 97, 205)(65, 173, 68, 176)(69, 177, 88, 196)(73, 181, 101, 209)(77, 185, 105, 213)(82, 190, 89, 197)(85, 193, 102, 210)(87, 195, 107, 215)(91, 199, 99, 207)(92, 200, 108, 216)(93, 201, 106, 214)(95, 203, 104, 212)(96, 204, 100, 208)(98, 206, 103, 211)(217, 325, 219, 327, 221, 329)(218, 326, 222, 330, 224, 332)(220, 328, 227, 335, 228, 336)(223, 331, 233, 341, 234, 342)(225, 333, 237, 345, 239, 347)(226, 334, 240, 348, 241, 349)(229, 337, 246, 354, 248, 356)(230, 338, 249, 357, 250, 358)(231, 339, 251, 359, 253, 361)(232, 340, 254, 362, 255, 363)(235, 343, 260, 368, 262, 370)(236, 344, 263, 371, 264, 372)(238, 346, 266, 374, 267, 375)(242, 350, 272, 380, 274, 382)(243, 351, 269, 377, 275, 383)(244, 352, 276, 384, 265, 373)(245, 353, 271, 379, 278, 386)(247, 355, 280, 388, 281, 389)(252, 360, 284, 392, 285, 393)(256, 364, 290, 398, 292, 400)(257, 365, 287, 395, 293, 401)(258, 366, 294, 402, 283, 391)(259, 367, 289, 397, 296, 404)(261, 369, 298, 406, 299, 407)(268, 376, 304, 412, 282, 390)(270, 378, 305, 413, 279, 387)(273, 381, 307, 415, 308, 416)(277, 385, 312, 420, 301, 409)(286, 394, 302, 410, 300, 408)(288, 396, 313, 421, 297, 405)(291, 399, 318, 426, 319, 427)(295, 403, 323, 431, 315, 423)(303, 411, 311, 419, 310, 418)(306, 414, 309, 417, 314, 422)(316, 424, 322, 430, 321, 429)(317, 425, 320, 428, 324, 432)
	L = (1, 220)(2, 223)(3, 226)(4, 217)(5, 230)(6, 232)(7, 218)(8, 236)(9, 238)(10, 219)(11, 243)(12, 245)(13, 247)(14, 221)(15, 252)(16, 222)(17, 257)(18, 259)(19, 261)(20, 224)(21, 265)(22, 225)(23, 268)(24, 269)(25, 271)(26, 273)(27, 227)(28, 277)(29, 228)(30, 279)(31, 229)(32, 272)(33, 275)(34, 278)(35, 283)(36, 231)(37, 286)(38, 287)(39, 289)(40, 291)(41, 233)(42, 295)(43, 234)(44, 297)(45, 235)(46, 290)(47, 293)(48, 296)(49, 237)(50, 301)(51, 303)(52, 239)(53, 240)(54, 306)(55, 241)(56, 248)(57, 242)(58, 309)(59, 249)(60, 311)(61, 244)(62, 250)(63, 246)(64, 314)(65, 307)(66, 310)(67, 251)(68, 315)(69, 316)(70, 253)(71, 254)(72, 317)(73, 255)(74, 262)(75, 256)(76, 320)(77, 263)(78, 322)(79, 258)(80, 264)(81, 260)(82, 324)(83, 318)(84, 321)(85, 266)(86, 323)(87, 267)(88, 312)(89, 308)(90, 270)(91, 281)(92, 305)(93, 274)(94, 282)(95, 276)(96, 304)(97, 319)(98, 280)(99, 284)(100, 285)(101, 288)(102, 299)(103, 313)(104, 292)(105, 300)(106, 294)(107, 302)(108, 298)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2293
Graph:: simple bipartite
	v = 90 e = 216 f = 72
	degree seq :: [ 4^54, 6^36 ]

E28.2282 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C3 x S3 x S3 (small group id <108, 38>)
Aut   = S3 x S3 x S3 (small group id <216, 162>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2 * Y3^2 * Y2^-1 * Y3^-1, Y3^6, Y3^-2 * Y2 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y1 * Y2 * Y1 * Y3, Y3 * Y1 * Y3^-1 * Y2^-2 * Y1 * Y2^-1, Y3 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3, (Y2^-1, Y3^-1, Y2^-1), (Y3 * Y2^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110)(3, 111, 11, 119)(4, 112, 10, 118)(5, 113, 17, 125)(6, 114, 8, 116)(7, 115, 23, 131)(9, 117, 29, 137)(12, 120, 36, 144)(13, 121, 25, 133)(14, 122, 42, 150)(15, 123, 34, 142)(16, 124, 28, 136)(18, 126, 30, 138)(19, 127, 48, 156)(20, 128, 32, 140)(21, 129, 56, 164)(22, 130, 27, 135)(24, 132, 58, 166)(26, 134, 63, 171)(31, 139, 69, 177)(33, 141, 75, 183)(35, 143, 54, 162)(37, 145, 59, 167)(38, 146, 49, 157)(39, 147, 62, 170)(40, 148, 77, 185)(41, 149, 60, 168)(43, 151, 64, 172)(44, 152, 74, 182)(45, 153, 66, 174)(46, 154, 68, 176)(47, 155, 67, 175)(50, 158, 72, 180)(51, 159, 90, 198)(52, 160, 70, 178)(53, 161, 73, 181)(55, 163, 65, 173)(57, 165, 76, 184)(61, 169, 93, 201)(71, 179, 106, 214)(78, 186, 94, 202)(79, 187, 96, 204)(80, 188, 95, 203)(81, 189, 100, 208)(82, 190, 98, 206)(83, 191, 99, 207)(84, 192, 97, 205)(85, 193, 107, 215)(86, 194, 102, 210)(87, 195, 103, 211)(88, 196, 108, 216)(89, 197, 105, 213)(91, 199, 101, 209)(92, 200, 104, 212)(217, 325, 219, 327, 221, 329)(218, 326, 223, 331, 225, 333)(220, 328, 230, 338, 232, 340)(222, 330, 236, 344, 237, 345)(224, 332, 242, 350, 244, 352)(226, 334, 248, 356, 249, 357)(227, 335, 251, 359, 250, 358)(228, 336, 253, 361, 255, 363)(229, 337, 256, 364, 257, 365)(231, 339, 254, 362, 245, 353)(233, 341, 243, 351, 265, 373)(234, 342, 266, 374, 267, 375)(235, 343, 268, 376, 269, 377)(238, 346, 239, 347, 270, 378)(240, 348, 275, 383, 276, 384)(241, 349, 277, 385, 278, 386)(246, 354, 286, 394, 287, 395)(247, 355, 288, 396, 289, 397)(252, 360, 293, 401, 294, 402)(258, 366, 272, 380, 282, 390)(259, 367, 295, 403, 301, 409)(260, 368, 296, 404, 302, 410)(261, 369, 279, 387, 291, 399)(262, 370, 297, 405, 303, 411)(263, 371, 298, 406, 304, 412)(264, 372, 305, 413, 306, 414)(271, 379, 299, 407, 307, 415)(273, 381, 300, 408, 308, 416)(274, 382, 309, 417, 310, 418)(280, 388, 311, 419, 317, 425)(281, 389, 312, 420, 318, 426)(283, 391, 313, 421, 319, 427)(284, 392, 314, 422, 320, 428)(285, 393, 321, 429, 322, 430)(290, 398, 315, 423, 323, 431)(292, 400, 316, 424, 324, 432)
	L = (1, 220)(2, 224)(3, 228)(4, 231)(5, 234)(6, 217)(7, 240)(8, 243)(9, 246)(10, 218)(11, 241)(12, 254)(13, 219)(14, 259)(15, 261)(16, 262)(17, 264)(18, 245)(19, 221)(20, 260)(21, 263)(22, 222)(23, 229)(24, 265)(25, 223)(26, 280)(27, 282)(28, 283)(29, 285)(30, 233)(31, 225)(32, 281)(33, 284)(34, 226)(35, 247)(36, 227)(37, 295)(38, 274)(39, 297)(40, 296)(41, 298)(42, 290)(43, 279)(44, 230)(45, 238)(46, 291)(47, 232)(48, 251)(49, 252)(50, 301)(51, 303)(52, 302)(53, 304)(54, 235)(55, 236)(56, 292)(57, 237)(58, 239)(59, 311)(60, 313)(61, 312)(62, 314)(63, 271)(64, 258)(65, 242)(66, 250)(67, 272)(68, 244)(69, 270)(70, 317)(71, 319)(72, 318)(73, 320)(74, 248)(75, 273)(76, 249)(77, 315)(78, 316)(79, 309)(80, 253)(81, 310)(82, 255)(83, 256)(84, 257)(85, 321)(86, 266)(87, 322)(88, 267)(89, 323)(90, 324)(91, 268)(92, 269)(93, 299)(94, 300)(95, 293)(96, 275)(97, 294)(98, 276)(99, 277)(100, 278)(101, 305)(102, 286)(103, 306)(104, 287)(105, 307)(106, 308)(107, 288)(108, 289)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2294
Graph:: simple bipartite
	v = 90 e = 216 f = 72
	degree seq :: [ 4^54, 6^36 ]

E28.2283 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C3 x S3 x S3 (small group id <108, 38>)
Aut   = S3 x S3 x S3 (small group id <216, 162>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y3^2 * Y2^-1 * Y3^-2 * Y2, (R * Y2 * Y3^-1)^2, Y1 * Y2^-1 * Y3 * Y1 * Y2 * Y3^-1, Y3^6, Y2 * Y3 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1, Y2 * Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y3^-1, Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, (Y2 * R * Y2 * Y1)^2, Y2 * Y3 * Y1 * Y3^-2 * Y2^-1 * Y3^-1 * Y1, Y1 * Y2^-1 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110)(3, 111, 11, 119)(4, 112, 10, 118)(5, 113, 17, 125)(6, 114, 8, 116)(7, 115, 23, 131)(9, 117, 29, 137)(12, 120, 37, 145)(13, 121, 32, 140)(14, 122, 44, 152)(15, 123, 34, 142)(16, 124, 30, 138)(18, 126, 28, 136)(19, 127, 51, 159)(20, 128, 25, 133)(21, 129, 58, 166)(22, 130, 27, 135)(24, 132, 62, 170)(26, 134, 69, 177)(31, 139, 76, 184)(33, 141, 83, 191)(35, 143, 60, 168)(36, 144, 75, 183)(38, 146, 63, 171)(39, 147, 70, 178)(40, 148, 80, 188)(41, 149, 85, 193)(42, 150, 78, 186)(43, 151, 71, 179)(45, 153, 64, 172)(46, 154, 68, 176)(47, 155, 72, 180)(48, 156, 74, 182)(49, 157, 73, 181)(50, 158, 61, 169)(52, 160, 77, 185)(53, 161, 67, 175)(54, 162, 95, 203)(55, 163, 65, 173)(56, 164, 81, 189)(57, 165, 84, 192)(59, 167, 82, 190)(66, 174, 97, 205)(79, 187, 107, 215)(86, 194, 103, 211)(87, 195, 100, 208)(88, 196, 99, 207)(89, 197, 105, 213)(90, 198, 104, 212)(91, 199, 98, 206)(92, 200, 102, 210)(93, 201, 101, 209)(94, 202, 108, 216)(96, 204, 106, 214)(217, 325, 219, 327, 221, 329)(218, 326, 223, 331, 225, 333)(220, 328, 230, 338, 232, 340)(222, 330, 236, 344, 237, 345)(224, 332, 242, 350, 244, 352)(226, 334, 248, 356, 249, 357)(227, 335, 251, 359, 252, 360)(228, 336, 254, 362, 256, 364)(229, 337, 257, 365, 258, 366)(231, 339, 255, 363, 264, 372)(233, 341, 266, 374, 268, 376)(234, 342, 269, 377, 270, 378)(235, 343, 271, 379, 272, 380)(238, 346, 259, 367, 273, 381)(239, 347, 276, 384, 277, 385)(240, 348, 279, 387, 281, 389)(241, 349, 282, 390, 283, 391)(243, 351, 280, 388, 289, 397)(245, 353, 291, 399, 293, 401)(246, 354, 294, 402, 295, 403)(247, 355, 296, 404, 297, 405)(250, 358, 284, 392, 298, 406)(253, 361, 267, 375, 288, 396)(260, 368, 301, 409, 307, 415)(261, 369, 303, 411, 308, 416)(262, 370, 304, 412, 309, 417)(263, 371, 278, 386, 292, 400)(265, 373, 305, 413, 310, 418)(274, 382, 302, 410, 311, 419)(275, 383, 306, 414, 312, 420)(285, 393, 313, 421, 319, 427)(286, 394, 315, 423, 320, 428)(287, 395, 316, 424, 321, 429)(290, 398, 317, 425, 322, 430)(299, 407, 314, 422, 323, 431)(300, 408, 318, 426, 324, 432)
	L = (1, 220)(2, 224)(3, 228)(4, 231)(5, 234)(6, 217)(7, 240)(8, 243)(9, 246)(10, 218)(11, 248)(12, 255)(13, 219)(14, 261)(15, 263)(16, 245)(17, 267)(18, 264)(19, 221)(20, 262)(21, 265)(22, 222)(23, 236)(24, 280)(25, 223)(26, 286)(27, 288)(28, 233)(29, 292)(30, 289)(31, 225)(32, 287)(33, 290)(34, 226)(35, 282)(36, 296)(37, 227)(38, 303)(39, 285)(40, 291)(41, 304)(42, 305)(43, 229)(44, 284)(45, 278)(46, 230)(47, 238)(48, 299)(49, 232)(50, 307)(51, 300)(52, 311)(53, 308)(54, 293)(55, 309)(56, 310)(57, 235)(58, 298)(59, 237)(60, 257)(61, 271)(62, 239)(63, 315)(64, 260)(65, 266)(66, 316)(67, 317)(68, 241)(69, 259)(70, 253)(71, 242)(72, 250)(73, 274)(74, 244)(75, 319)(76, 275)(77, 323)(78, 320)(79, 268)(80, 321)(81, 322)(82, 247)(83, 273)(84, 249)(85, 251)(86, 252)(87, 313)(88, 254)(89, 256)(90, 258)(91, 318)(92, 314)(93, 269)(94, 270)(95, 324)(96, 272)(97, 276)(98, 277)(99, 301)(100, 279)(101, 281)(102, 283)(103, 306)(104, 302)(105, 294)(106, 295)(107, 312)(108, 297)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2289
Graph:: simple bipartite
	v = 90 e = 216 f = 72
	degree seq :: [ 4^54, 6^36 ]

E28.2284 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C3 x S3 x S3 (small group id <108, 38>)
Aut   = S3 x S3 x S3 (small group id <216, 162>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3^-1 * Y1)^2, (Y1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y2^-1 * Y1 * Y2 * Y3 * Y1, Y3^-1 * Y2^-1 * Y3^2 * Y2 * Y3^-1, Y1 * Y2 * Y1 * Y3^-2 * Y2^-1, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y1 * Y2^-1 * Y1 * Y3, Y3^6, Y2 * R * Y3^-2 * Y1 * R * Y2^-1 * Y1, Y2 * Y3^-3 * Y1 * Y3 * Y2^-1 * Y1, Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1, Y3 * Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110)(3, 111, 11, 119)(4, 112, 10, 118)(5, 113, 17, 125)(6, 114, 8, 116)(7, 115, 23, 131)(9, 117, 29, 137)(12, 120, 24, 132)(13, 121, 36, 144)(14, 122, 26, 134)(15, 123, 34, 142)(16, 124, 46, 154)(18, 126, 50, 158)(19, 127, 31, 139)(20, 128, 55, 163)(21, 129, 33, 141)(22, 130, 27, 135)(25, 133, 58, 166)(28, 136, 66, 174)(30, 138, 69, 177)(32, 140, 74, 182)(35, 143, 45, 153)(37, 145, 77, 185)(38, 146, 62, 170)(39, 147, 61, 169)(40, 148, 60, 168)(41, 149, 49, 157)(42, 150, 64, 172)(43, 151, 63, 171)(44, 152, 65, 173)(47, 155, 67, 175)(48, 156, 76, 184)(51, 159, 72, 180)(52, 160, 71, 179)(53, 161, 70, 178)(54, 162, 90, 198)(56, 164, 75, 183)(57, 165, 68, 176)(59, 167, 93, 201)(73, 181, 106, 214)(78, 186, 94, 202)(79, 187, 95, 203)(80, 188, 99, 207)(81, 189, 100, 208)(82, 190, 98, 206)(83, 191, 96, 204)(84, 192, 97, 205)(85, 193, 107, 215)(86, 194, 102, 210)(87, 195, 104, 212)(88, 196, 103, 211)(89, 197, 105, 213)(91, 199, 101, 209)(92, 200, 108, 216)(217, 325, 219, 327, 221, 329)(218, 326, 223, 331, 225, 333)(220, 328, 230, 338, 232, 340)(222, 330, 236, 344, 237, 345)(224, 332, 242, 350, 244, 352)(226, 334, 248, 356, 249, 357)(227, 335, 251, 359, 243, 351)(228, 336, 253, 361, 254, 362)(229, 337, 255, 363, 256, 364)(231, 339, 239, 347, 261, 369)(233, 341, 250, 358, 265, 373)(234, 342, 267, 375, 268, 376)(235, 343, 269, 377, 270, 378)(238, 346, 257, 365, 245, 353)(240, 348, 275, 383, 276, 384)(241, 349, 277, 385, 278, 386)(246, 354, 286, 394, 287, 395)(247, 355, 288, 396, 289, 397)(252, 360, 293, 401, 294, 402)(258, 366, 295, 403, 301, 409)(259, 367, 296, 404, 302, 410)(260, 368, 290, 398, 282, 390)(262, 370, 281, 389, 271, 379)(263, 371, 297, 405, 303, 411)(264, 372, 298, 406, 304, 412)(266, 374, 305, 413, 306, 414)(272, 380, 299, 407, 307, 415)(273, 381, 300, 408, 308, 416)(274, 382, 309, 417, 310, 418)(279, 387, 311, 419, 317, 425)(280, 388, 312, 420, 318, 426)(283, 391, 313, 421, 319, 427)(284, 392, 314, 422, 320, 428)(285, 393, 321, 429, 322, 430)(291, 399, 315, 423, 323, 431)(292, 400, 316, 424, 324, 432)
	L = (1, 220)(2, 224)(3, 228)(4, 231)(5, 234)(6, 217)(7, 240)(8, 243)(9, 246)(10, 218)(11, 252)(12, 239)(13, 219)(14, 258)(15, 260)(16, 263)(17, 247)(18, 261)(19, 221)(20, 259)(21, 264)(22, 222)(23, 274)(24, 227)(25, 223)(26, 279)(27, 281)(28, 283)(29, 235)(30, 251)(31, 225)(32, 280)(33, 284)(34, 226)(35, 266)(36, 265)(37, 295)(38, 297)(39, 296)(40, 298)(41, 229)(42, 290)(43, 230)(44, 238)(45, 285)(46, 292)(47, 282)(48, 232)(49, 241)(50, 233)(51, 301)(52, 303)(53, 302)(54, 304)(55, 291)(56, 236)(57, 237)(58, 257)(59, 311)(60, 313)(61, 312)(62, 314)(63, 271)(64, 242)(65, 250)(66, 273)(67, 262)(68, 244)(69, 245)(70, 317)(71, 319)(72, 318)(73, 320)(74, 272)(75, 248)(76, 249)(77, 315)(78, 316)(79, 309)(80, 253)(81, 310)(82, 254)(83, 255)(84, 256)(85, 321)(86, 267)(87, 322)(88, 268)(89, 323)(90, 324)(91, 269)(92, 270)(93, 299)(94, 300)(95, 293)(96, 275)(97, 294)(98, 276)(99, 277)(100, 278)(101, 305)(102, 286)(103, 306)(104, 287)(105, 307)(106, 308)(107, 288)(108, 289)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2295
Graph:: simple bipartite
	v = 90 e = 216 f = 72
	degree seq :: [ 4^54, 6^36 ]

E28.2285 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C3 x S3 x S3 (small group id <108, 38>)
Aut   = S3 x S3 x S3 (small group id <216, 162>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y1 * Y3)^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y2 * Y3 * Y1 * Y2^-1, Y3^2 * Y2 * Y3^-2 * Y2^-1, Y3^6, Y2^-1 * Y3^3 * Y1 * Y2 * Y3^-1 * Y1, (R * Y2^-1 * Y1 * Y2^-1)^2, Y2 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y1, Y2 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y3, Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3, Y2 * Y3^-1 * Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y1, (Y2^-1 * Y3)^6 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110)(3, 111, 11, 119)(4, 112, 10, 118)(5, 113, 17, 125)(6, 114, 8, 116)(7, 115, 23, 131)(9, 117, 29, 137)(12, 120, 26, 134)(13, 121, 36, 144)(14, 122, 24, 132)(15, 123, 34, 142)(16, 124, 47, 155)(18, 126, 52, 160)(19, 127, 33, 141)(20, 128, 58, 166)(21, 129, 31, 139)(22, 130, 27, 135)(25, 133, 61, 169)(28, 136, 72, 180)(30, 138, 77, 185)(32, 140, 83, 191)(35, 143, 60, 168)(37, 145, 75, 183)(38, 146, 85, 193)(39, 147, 69, 177)(40, 148, 80, 188)(41, 149, 66, 174)(42, 150, 78, 186)(43, 151, 84, 192)(44, 152, 64, 172)(45, 153, 70, 178)(46, 154, 73, 181)(48, 156, 71, 179)(49, 157, 82, 190)(50, 158, 62, 170)(51, 159, 76, 184)(53, 161, 67, 175)(54, 162, 79, 187)(55, 163, 65, 173)(56, 164, 92, 200)(57, 165, 74, 182)(59, 167, 68, 176)(63, 171, 97, 205)(81, 189, 104, 212)(86, 194, 107, 215)(87, 195, 102, 210)(88, 196, 108, 216)(89, 197, 103, 211)(90, 198, 99, 207)(91, 199, 101, 209)(93, 201, 106, 214)(94, 202, 105, 213)(95, 203, 98, 206)(96, 204, 100, 208)(217, 325, 219, 327, 221, 329)(218, 326, 223, 331, 225, 333)(220, 328, 230, 338, 232, 340)(222, 330, 236, 344, 237, 345)(224, 332, 242, 350, 244, 352)(226, 334, 248, 356, 249, 357)(227, 335, 251, 359, 253, 361)(228, 336, 254, 362, 256, 364)(229, 337, 257, 365, 258, 366)(231, 339, 255, 363, 262, 370)(233, 341, 266, 374, 267, 375)(234, 342, 269, 377, 270, 378)(235, 343, 271, 379, 272, 380)(238, 346, 259, 367, 273, 381)(239, 347, 276, 384, 278, 386)(240, 348, 279, 387, 281, 389)(241, 349, 282, 390, 283, 391)(243, 351, 280, 388, 287, 395)(245, 353, 291, 399, 292, 400)(246, 354, 294, 402, 295, 403)(247, 355, 296, 404, 297, 405)(250, 358, 284, 392, 298, 406)(252, 360, 268, 376, 286, 394)(260, 368, 303, 411, 307, 415)(261, 369, 277, 385, 293, 401)(263, 371, 302, 410, 308, 416)(264, 372, 304, 412, 309, 417)(265, 373, 305, 413, 310, 418)(274, 382, 301, 409, 311, 419)(275, 383, 306, 414, 312, 420)(285, 393, 315, 423, 319, 427)(288, 396, 314, 422, 320, 428)(289, 397, 316, 424, 321, 429)(290, 398, 317, 425, 322, 430)(299, 407, 313, 421, 323, 431)(300, 408, 318, 426, 324, 432)
	L = (1, 220)(2, 224)(3, 228)(4, 231)(5, 234)(6, 217)(7, 240)(8, 243)(9, 246)(10, 218)(11, 252)(12, 255)(13, 219)(14, 239)(15, 261)(16, 264)(17, 249)(18, 262)(19, 221)(20, 260)(21, 265)(22, 222)(23, 277)(24, 280)(25, 223)(26, 227)(27, 286)(28, 289)(29, 237)(30, 287)(31, 225)(32, 285)(33, 290)(34, 226)(35, 301)(36, 300)(37, 302)(38, 276)(39, 299)(40, 304)(41, 303)(42, 305)(43, 229)(44, 230)(45, 238)(46, 288)(47, 298)(48, 293)(49, 232)(50, 283)(51, 297)(52, 233)(53, 278)(54, 309)(55, 307)(56, 310)(57, 235)(58, 284)(59, 236)(60, 313)(61, 275)(62, 314)(63, 251)(64, 274)(65, 316)(66, 315)(67, 317)(68, 241)(69, 242)(70, 250)(71, 263)(72, 273)(73, 268)(74, 244)(75, 258)(76, 272)(77, 245)(78, 253)(79, 321)(80, 319)(81, 322)(82, 247)(83, 259)(84, 248)(85, 318)(86, 324)(87, 254)(88, 323)(89, 256)(90, 257)(91, 269)(92, 267)(93, 320)(94, 270)(95, 266)(96, 271)(97, 306)(98, 312)(99, 279)(100, 311)(101, 281)(102, 282)(103, 294)(104, 292)(105, 308)(106, 295)(107, 291)(108, 296)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2290
Graph:: simple bipartite
	v = 90 e = 216 f = 72
	degree seq :: [ 4^54, 6^36 ]

E28.2286 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = (C3 x ((C3 x C3) : C2)) : C2 (small group id <108, 40>)
Aut   = S3 x S3 x S3 (small group id <216, 162>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, Y3^3 * Y2^-1 * Y3 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1, Y3 * Y2^-1 * Y1 * Y3^3 * Y1 * Y2^-1, Y2^-1 * Y1 * Y2^-1 * R * Y2 * Y1 * Y2 * R ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110)(3, 111, 11, 119)(4, 112, 10, 118)(5, 113, 17, 125)(6, 114, 8, 116)(7, 115, 21, 129)(9, 117, 27, 135)(12, 120, 34, 142)(13, 121, 32, 140)(14, 122, 38, 146)(15, 123, 30, 138)(16, 124, 41, 149)(18, 126, 44, 152)(19, 127, 45, 153)(20, 128, 25, 133)(22, 130, 49, 157)(23, 131, 47, 155)(24, 132, 53, 161)(26, 134, 56, 164)(28, 136, 59, 167)(29, 137, 60, 168)(31, 139, 46, 154)(33, 141, 57, 165)(35, 143, 68, 176)(36, 144, 51, 159)(37, 145, 64, 172)(39, 147, 70, 178)(40, 148, 72, 180)(42, 150, 48, 156)(43, 151, 58, 166)(50, 158, 84, 192)(52, 160, 80, 188)(54, 162, 86, 194)(55, 163, 88, 196)(61, 169, 78, 186)(62, 170, 77, 185)(63, 171, 89, 197)(65, 173, 81, 189)(66, 174, 90, 198)(67, 175, 87, 195)(69, 177, 91, 199)(71, 179, 83, 191)(73, 181, 79, 187)(74, 182, 82, 190)(75, 183, 85, 193)(76, 184, 92, 200)(93, 201, 102, 210)(94, 202, 101, 209)(95, 203, 106, 214)(96, 204, 108, 216)(97, 205, 107, 215)(98, 206, 103, 211)(99, 207, 105, 213)(100, 208, 104, 212)(217, 325, 219, 327, 221, 329)(218, 326, 223, 331, 225, 333)(220, 328, 230, 338, 232, 340)(222, 330, 235, 343, 228, 336)(224, 332, 240, 348, 242, 350)(226, 334, 245, 353, 238, 346)(227, 335, 247, 355, 249, 357)(229, 337, 252, 360, 234, 342)(231, 339, 251, 359, 256, 364)(233, 341, 258, 366, 259, 367)(236, 344, 253, 361, 255, 363)(237, 345, 262, 370, 264, 372)(239, 347, 267, 375, 244, 352)(241, 349, 266, 374, 271, 379)(243, 351, 273, 381, 274, 382)(246, 354, 268, 376, 270, 378)(248, 356, 279, 387, 281, 389)(250, 358, 283, 391, 277, 385)(254, 362, 285, 393, 287, 395)(257, 365, 282, 390, 278, 386)(260, 368, 292, 400, 289, 397)(261, 369, 291, 399, 290, 398)(263, 371, 295, 403, 297, 405)(265, 373, 299, 407, 293, 401)(269, 377, 301, 409, 303, 411)(272, 380, 298, 406, 294, 402)(275, 383, 308, 416, 305, 413)(276, 384, 307, 415, 306, 414)(280, 388, 309, 417, 312, 420)(284, 392, 310, 418, 311, 419)(286, 394, 314, 422, 315, 423)(288, 396, 316, 424, 313, 421)(296, 404, 317, 425, 320, 428)(300, 408, 318, 426, 319, 427)(302, 410, 322, 430, 323, 431)(304, 412, 324, 432, 321, 429)
	L = (1, 220)(2, 224)(3, 228)(4, 231)(5, 234)(6, 217)(7, 238)(8, 241)(9, 244)(10, 218)(11, 248)(12, 251)(13, 219)(14, 221)(15, 252)(16, 253)(17, 254)(18, 256)(19, 255)(20, 222)(21, 263)(22, 266)(23, 223)(24, 225)(25, 267)(26, 268)(27, 269)(28, 271)(29, 270)(30, 226)(31, 277)(32, 280)(33, 282)(34, 227)(35, 232)(36, 236)(37, 229)(38, 286)(39, 230)(40, 235)(41, 284)(42, 289)(43, 291)(44, 233)(45, 288)(46, 293)(47, 296)(48, 298)(49, 237)(50, 242)(51, 246)(52, 239)(53, 302)(54, 240)(55, 245)(56, 300)(57, 305)(58, 307)(59, 243)(60, 304)(61, 309)(62, 247)(63, 249)(64, 257)(65, 310)(66, 312)(67, 311)(68, 250)(69, 259)(70, 261)(71, 316)(72, 260)(73, 314)(74, 258)(75, 315)(76, 313)(77, 317)(78, 262)(79, 264)(80, 272)(81, 318)(82, 320)(83, 319)(84, 265)(85, 274)(86, 276)(87, 324)(88, 275)(89, 322)(90, 273)(91, 323)(92, 321)(93, 281)(94, 278)(95, 279)(96, 283)(97, 285)(98, 287)(99, 292)(100, 290)(101, 297)(102, 294)(103, 295)(104, 299)(105, 301)(106, 303)(107, 308)(108, 306)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2297
Graph:: simple bipartite
	v = 90 e = 216 f = 72
	degree seq :: [ 4^54, 6^36 ]

E28.2287 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C3 x S3 x S3 (small group id <108, 38>)
Aut   = S3 x S3 x S3 (small group id <216, 162>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (R * Y1)^2, (Y3 * Y2)^2, (R * Y3)^2, Y1 * Y3 * Y1^-2 * Y3 * Y1, Y1^6, (Y3 * Y1^-1)^3, (Y1^-1 * Y2 * Y1^-2)^2, (Y2 * Y1^-1 * Y3 * Y1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110, 6, 114, 17, 125, 16, 124, 5, 113)(3, 111, 9, 117, 25, 133, 41, 149, 32, 140, 11, 119)(4, 112, 12, 120, 19, 127, 46, 154, 36, 144, 13, 121)(7, 115, 20, 128, 47, 155, 40, 148, 54, 162, 22, 130)(8, 116, 23, 131, 42, 150, 34, 142, 15, 123, 24, 132)(10, 118, 28, 136, 58, 166, 82, 190, 65, 173, 29, 137)(14, 122, 37, 145, 45, 153, 18, 126, 43, 151, 39, 147)(21, 129, 50, 158, 84, 192, 69, 177, 90, 198, 51, 159)(26, 134, 48, 156, 76, 184, 68, 176, 92, 200, 60, 168)(27, 135, 61, 169, 75, 183, 63, 171, 31, 139, 56, 164)(30, 138, 52, 160, 80, 188, 57, 165, 83, 191, 67, 175)(33, 141, 49, 157, 86, 194, 72, 180, 88, 196, 53, 161)(35, 143, 70, 178, 79, 187, 44, 152, 78, 186, 71, 179)(38, 146, 73, 181, 81, 189, 55, 163, 77, 185, 74, 182)(59, 167, 87, 195, 101, 209, 97, 205, 108, 216, 94, 202)(62, 170, 85, 193, 102, 210, 99, 207, 107, 215, 95, 203)(64, 172, 91, 199, 103, 211, 93, 201, 106, 214, 98, 206)(66, 174, 89, 197, 104, 212, 96, 204, 105, 213, 100, 208)(217, 325, 219, 327)(218, 326, 223, 331)(220, 328, 226, 334)(221, 329, 230, 338)(222, 330, 234, 342)(224, 332, 237, 345)(225, 333, 242, 350)(227, 335, 246, 354)(228, 336, 249, 357)(229, 337, 251, 359)(231, 339, 254, 362)(232, 340, 256, 364)(233, 341, 257, 365)(235, 343, 260, 368)(236, 344, 264, 372)(238, 346, 268, 376)(239, 347, 271, 379)(240, 348, 272, 380)(241, 349, 273, 381)(243, 351, 275, 383)(244, 352, 278, 386)(245, 353, 280, 388)(247, 355, 282, 390)(248, 356, 284, 392)(250, 358, 285, 393)(252, 360, 288, 396)(253, 361, 276, 384)(255, 363, 283, 391)(258, 366, 291, 399)(259, 367, 292, 400)(261, 369, 296, 404)(262, 370, 298, 406)(263, 371, 299, 407)(265, 373, 301, 409)(266, 374, 303, 411)(267, 375, 305, 413)(269, 377, 307, 415)(270, 378, 308, 416)(274, 382, 309, 417)(277, 385, 312, 420)(279, 387, 313, 421)(281, 389, 315, 423)(286, 394, 311, 419)(287, 395, 314, 422)(289, 397, 310, 418)(290, 398, 316, 424)(293, 401, 317, 425)(294, 402, 318, 426)(295, 403, 319, 427)(297, 405, 320, 428)(300, 408, 321, 429)(302, 410, 322, 430)(304, 412, 323, 431)(306, 414, 324, 432)
	L = (1, 220)(2, 224)(3, 226)(4, 217)(5, 231)(6, 235)(7, 237)(8, 218)(9, 243)(10, 219)(11, 247)(12, 250)(13, 239)(14, 254)(15, 221)(16, 252)(17, 258)(18, 260)(19, 222)(20, 265)(21, 223)(22, 269)(23, 229)(24, 262)(25, 274)(26, 275)(27, 225)(28, 279)(29, 277)(30, 282)(31, 227)(32, 281)(33, 285)(34, 228)(35, 271)(36, 232)(37, 286)(38, 230)(39, 287)(40, 288)(41, 291)(42, 233)(43, 293)(44, 234)(45, 297)(46, 240)(47, 300)(48, 301)(49, 236)(50, 304)(51, 302)(52, 307)(53, 238)(54, 306)(55, 251)(56, 298)(57, 309)(58, 241)(59, 242)(60, 311)(61, 245)(62, 313)(63, 244)(64, 312)(65, 248)(66, 246)(67, 314)(68, 315)(69, 249)(70, 253)(71, 255)(72, 256)(73, 294)(74, 295)(75, 257)(76, 317)(77, 259)(78, 289)(79, 290)(80, 320)(81, 261)(82, 272)(83, 321)(84, 263)(85, 264)(86, 267)(87, 323)(88, 266)(89, 322)(90, 270)(91, 268)(92, 324)(93, 273)(94, 318)(95, 276)(96, 280)(97, 278)(98, 283)(99, 284)(100, 319)(101, 292)(102, 310)(103, 316)(104, 296)(105, 299)(106, 305)(107, 303)(108, 308)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2279
Graph:: simple bipartite
	v = 72 e = 216 f = 90
	degree seq :: [ 4^54, 12^18 ]

E28.2288 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C3 x S3 x S3 (small group id <108, 38>)
Aut   = S3 x S3 x S3 (small group id <216, 162>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-1, (Y3 * Y1^-1)^3, Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1, Y1^6, Y3 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110, 6, 114, 17, 125, 16, 124, 5, 113)(3, 111, 9, 117, 18, 126, 40, 148, 31, 139, 11, 119)(4, 112, 12, 120, 19, 127, 42, 150, 35, 143, 13, 121)(7, 115, 20, 128, 38, 146, 37, 145, 14, 122, 22, 130)(8, 116, 23, 131, 39, 147, 33, 141, 15, 123, 24, 132)(10, 118, 27, 135, 41, 149, 72, 180, 59, 167, 28, 136)(21, 129, 45, 153, 69, 177, 66, 174, 36, 144, 46, 154)(25, 133, 51, 159, 70, 178, 61, 169, 29, 137, 53, 161)(26, 134, 54, 162, 71, 179, 57, 165, 30, 138, 55, 163)(32, 140, 62, 170, 73, 181, 65, 173, 34, 142, 64, 172)(43, 151, 74, 182, 67, 175, 83, 191, 47, 155, 76, 184)(44, 152, 77, 185, 68, 176, 80, 188, 48, 156, 78, 186)(49, 157, 84, 192, 63, 171, 86, 194, 50, 158, 85, 193)(52, 160, 79, 187, 98, 206, 95, 203, 60, 168, 81, 189)(56, 164, 75, 183, 99, 207, 94, 202, 58, 166, 82, 190)(87, 195, 100, 208, 96, 204, 107, 215, 89, 197, 102, 210)(88, 196, 104, 212, 97, 205, 106, 214, 90, 198, 105, 213)(91, 199, 101, 209, 93, 201, 108, 216, 92, 200, 103, 211)(217, 325, 219, 327)(218, 326, 223, 331)(220, 328, 226, 334)(221, 329, 230, 338)(222, 330, 234, 342)(224, 332, 237, 345)(225, 333, 241, 349)(227, 335, 245, 353)(228, 336, 248, 356)(229, 337, 250, 358)(231, 339, 252, 360)(232, 340, 247, 355)(233, 341, 254, 362)(235, 343, 257, 365)(236, 344, 259, 367)(238, 346, 263, 371)(239, 347, 265, 373)(240, 348, 266, 374)(242, 350, 268, 376)(243, 351, 272, 380)(244, 352, 274, 382)(246, 354, 276, 384)(249, 357, 279, 387)(251, 359, 275, 383)(253, 361, 283, 391)(255, 363, 285, 393)(256, 364, 286, 394)(258, 366, 289, 397)(260, 368, 291, 399)(261, 369, 295, 403)(262, 370, 297, 405)(264, 372, 298, 406)(267, 375, 303, 411)(269, 377, 305, 413)(270, 378, 307, 415)(271, 379, 308, 416)(273, 381, 309, 417)(277, 385, 312, 420)(278, 386, 304, 412)(280, 388, 306, 414)(281, 389, 313, 421)(282, 390, 311, 419)(284, 392, 310, 418)(287, 395, 314, 422)(288, 396, 315, 423)(290, 398, 316, 424)(292, 400, 318, 426)(293, 401, 320, 428)(294, 402, 321, 429)(296, 404, 322, 430)(299, 407, 323, 431)(300, 408, 317, 425)(301, 409, 319, 427)(302, 410, 324, 432)
	L = (1, 220)(2, 224)(3, 226)(4, 217)(5, 231)(6, 235)(7, 237)(8, 218)(9, 242)(10, 219)(11, 246)(12, 249)(13, 239)(14, 252)(15, 221)(16, 251)(17, 255)(18, 257)(19, 222)(20, 260)(21, 223)(22, 264)(23, 229)(24, 258)(25, 268)(26, 225)(27, 273)(28, 270)(29, 276)(30, 227)(31, 275)(32, 279)(33, 228)(34, 265)(35, 232)(36, 230)(37, 284)(38, 285)(39, 233)(40, 287)(41, 234)(42, 240)(43, 291)(44, 236)(45, 296)(46, 293)(47, 298)(48, 238)(49, 250)(50, 289)(51, 304)(52, 241)(53, 306)(54, 244)(55, 288)(56, 309)(57, 243)(58, 307)(59, 247)(60, 245)(61, 313)(62, 303)(63, 248)(64, 305)(65, 312)(66, 294)(67, 310)(68, 253)(69, 254)(70, 314)(71, 256)(72, 271)(73, 266)(74, 317)(75, 259)(76, 319)(77, 262)(78, 282)(79, 322)(80, 261)(81, 320)(82, 263)(83, 324)(84, 316)(85, 318)(86, 323)(87, 278)(88, 267)(89, 280)(90, 269)(91, 274)(92, 315)(93, 272)(94, 283)(95, 321)(96, 281)(97, 277)(98, 286)(99, 308)(100, 300)(101, 290)(102, 301)(103, 292)(104, 297)(105, 311)(106, 295)(107, 302)(108, 299)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2280
Graph:: simple bipartite
	v = 72 e = 216 f = 90
	degree seq :: [ 4^54, 12^18 ]

E28.2289 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C3 x S3 x S3 (small group id <108, 38>)
Aut   = S3 x S3 x S3 (small group id <216, 162>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, Y2 * Y1 * Y2 * Y1^-1, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1)^3, Y1^-1 * Y3 * Y1^2 * Y3^-1 * Y1^-1, (Y3^-1 * Y1^-1)^3, Y3^6, Y1^-1 * Y3^2 * Y1 * Y3^-2, Y1^6 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110, 7, 115, 23, 131, 18, 126, 5, 113)(3, 111, 8, 116, 24, 132, 53, 161, 39, 147, 12, 120)(4, 112, 14, 122, 25, 133, 58, 166, 48, 156, 16, 124)(6, 114, 20, 128, 26, 134, 60, 168, 51, 159, 21, 129)(9, 117, 29, 137, 54, 162, 50, 158, 17, 125, 31, 139)(10, 118, 32, 140, 55, 163, 44, 152, 19, 127, 33, 141)(11, 119, 35, 143, 56, 164, 89, 197, 75, 183, 37, 145)(13, 121, 41, 149, 57, 165, 91, 199, 78, 186, 42, 150)(15, 123, 30, 138, 59, 167, 87, 195, 83, 191, 47, 155)(22, 130, 34, 142, 61, 169, 88, 196, 84, 192, 52, 160)(27, 135, 62, 170, 85, 193, 77, 185, 38, 146, 64, 172)(28, 136, 65, 173, 86, 194, 71, 179, 40, 148, 66, 174)(36, 144, 63, 171, 90, 198, 104, 212, 102, 210, 74, 182)(43, 151, 67, 175, 92, 200, 105, 213, 103, 211, 79, 187)(45, 153, 81, 189, 93, 201, 69, 177, 49, 157, 82, 190)(46, 154, 80, 188, 94, 202, 70, 178, 98, 206, 68, 176)(72, 180, 100, 208, 106, 214, 96, 204, 76, 184, 101, 209)(73, 181, 99, 207, 107, 215, 97, 205, 108, 216, 95, 203)(217, 325, 219, 327)(218, 326, 224, 332)(220, 328, 229, 337)(221, 329, 228, 336)(222, 330, 227, 335)(223, 331, 240, 348)(225, 333, 244, 352)(226, 334, 243, 351)(230, 338, 257, 365)(231, 339, 259, 367)(232, 340, 258, 366)(233, 341, 256, 364)(234, 342, 255, 363)(235, 343, 254, 362)(236, 344, 251, 359)(237, 345, 253, 361)(238, 346, 252, 360)(239, 347, 269, 377)(241, 349, 273, 381)(242, 350, 272, 380)(245, 353, 281, 389)(246, 354, 283, 391)(247, 355, 282, 390)(248, 356, 278, 386)(249, 357, 280, 388)(250, 358, 279, 387)(260, 368, 293, 401)(261, 369, 288, 396)(262, 370, 289, 397)(263, 371, 295, 403)(264, 372, 294, 402)(265, 373, 292, 400)(266, 374, 287, 395)(267, 375, 291, 399)(268, 376, 290, 398)(270, 378, 302, 410)(271, 379, 301, 409)(274, 382, 307, 415)(275, 383, 308, 416)(276, 384, 305, 413)(277, 385, 306, 414)(284, 392, 311, 419)(285, 393, 312, 420)(286, 394, 313, 421)(296, 404, 315, 423)(297, 405, 316, 424)(298, 406, 317, 425)(299, 407, 319, 427)(300, 408, 318, 426)(303, 411, 321, 429)(304, 412, 320, 428)(309, 417, 322, 430)(310, 418, 323, 431)(314, 422, 324, 432)
	L = (1, 220)(2, 225)(3, 227)(4, 231)(5, 233)(6, 217)(7, 241)(8, 243)(9, 246)(10, 218)(11, 252)(12, 254)(13, 219)(14, 260)(15, 262)(16, 248)(17, 263)(18, 264)(19, 221)(20, 261)(21, 265)(22, 222)(23, 270)(24, 272)(25, 275)(26, 223)(27, 279)(28, 224)(29, 237)(30, 285)(31, 276)(32, 284)(33, 286)(34, 226)(35, 287)(36, 289)(37, 281)(38, 290)(39, 291)(40, 228)(41, 288)(42, 292)(43, 229)(44, 296)(45, 230)(46, 238)(47, 297)(48, 299)(49, 232)(50, 236)(51, 234)(52, 235)(53, 301)(54, 303)(55, 239)(56, 306)(57, 240)(58, 249)(59, 310)(60, 309)(61, 242)(62, 258)(63, 312)(64, 307)(65, 311)(66, 313)(67, 244)(68, 245)(69, 250)(70, 247)(71, 315)(72, 251)(73, 259)(74, 316)(75, 318)(76, 253)(77, 257)(78, 255)(79, 256)(80, 266)(81, 268)(82, 304)(83, 314)(84, 267)(85, 320)(86, 269)(87, 298)(88, 271)(89, 282)(90, 323)(91, 322)(92, 273)(93, 274)(94, 277)(95, 278)(96, 283)(97, 280)(98, 300)(99, 293)(100, 295)(101, 321)(102, 324)(103, 294)(104, 317)(105, 302)(106, 305)(107, 308)(108, 319)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2283
Graph:: simple bipartite
	v = 72 e = 216 f = 90
	degree seq :: [ 4^54, 12^18 ]

E28.2290 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C3 x S3 x S3 (small group id <108, 38>)
Aut   = S3 x S3 x S3 (small group id <216, 162>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y2 * Y3)^2, (R * Y3)^2, (R * Y1)^2, Y1^6, Y3^-1 * Y1^2 * Y3 * Y1^-2, Y3^2 * Y2 * Y1 * Y2 * Y1^-1, (Y2 * Y1^-1 * R)^2, Y1^-1 * Y3^-2 * Y1 * Y3^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, (Y3^-1 * Y1)^3, Y3^6, Y2 * Y3 * Y1^2 * Y2 * Y3^-1 * Y1^-2, Y2 * Y3^-1 * Y1^-1 * Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110, 7, 115, 25, 133, 20, 128, 5, 113)(3, 111, 11, 119, 39, 147, 63, 171, 46, 154, 13, 121)(4, 112, 15, 123, 27, 135, 70, 178, 54, 162, 17, 125)(6, 114, 22, 130, 28, 136, 72, 180, 60, 168, 23, 131)(8, 116, 29, 137, 74, 182, 59, 167, 78, 186, 31, 139)(9, 117, 33, 141, 64, 172, 58, 166, 19, 127, 35, 143)(10, 118, 36, 144, 65, 173, 51, 159, 21, 129, 37, 145)(12, 120, 41, 149, 69, 177, 104, 212, 90, 198, 43, 151)(14, 122, 48, 156, 75, 183, 105, 213, 95, 203, 49, 157)(16, 124, 34, 142, 71, 179, 100, 208, 92, 200, 44, 152)(18, 126, 42, 150, 68, 176, 26, 134, 66, 174, 57, 165)(24, 132, 38, 146, 73, 181, 101, 209, 94, 202, 61, 169)(30, 138, 76, 184, 99, 207, 88, 196, 47, 155, 77, 185)(32, 140, 80, 188, 102, 210, 89, 197, 56, 164, 81, 189)(40, 148, 82, 190, 98, 206, 93, 201, 45, 153, 86, 194)(50, 158, 67, 175, 103, 211, 97, 205, 62, 170, 79, 187)(52, 160, 91, 199, 106, 214, 84, 192, 55, 163, 96, 204)(53, 161, 87, 195, 107, 215, 85, 193, 108, 216, 83, 191)(217, 325, 219, 327)(218, 326, 224, 332)(220, 328, 230, 338)(221, 329, 234, 342)(222, 330, 228, 336)(223, 331, 242, 350)(225, 333, 248, 356)(226, 334, 246, 354)(227, 335, 254, 362)(229, 337, 260, 368)(231, 339, 266, 374)(232, 340, 247, 355)(233, 341, 259, 367)(235, 343, 261, 369)(236, 344, 275, 383)(237, 345, 272, 380)(238, 346, 264, 372)(239, 347, 278, 386)(240, 348, 258, 366)(241, 349, 279, 387)(243, 351, 285, 393)(244, 352, 283, 391)(245, 353, 289, 397)(249, 357, 298, 406)(250, 358, 284, 392)(251, 359, 293, 401)(252, 360, 296, 404)(253, 361, 302, 410)(255, 363, 287, 395)(256, 364, 300, 408)(257, 365, 303, 411)(262, 370, 310, 418)(263, 371, 307, 415)(265, 373, 299, 407)(267, 375, 304, 412)(268, 376, 309, 417)(269, 377, 295, 403)(270, 378, 313, 421)(271, 379, 292, 400)(273, 381, 308, 416)(274, 382, 305, 413)(276, 384, 311, 419)(277, 385, 294, 402)(280, 388, 315, 423)(281, 389, 314, 422)(282, 390, 317, 425)(286, 394, 321, 429)(288, 396, 320, 428)(290, 398, 316, 424)(291, 399, 323, 431)(297, 405, 322, 430)(301, 409, 319, 427)(306, 414, 324, 432)(312, 420, 318, 426)
	L = (1, 220)(2, 225)(3, 228)(4, 232)(5, 235)(6, 217)(7, 243)(8, 246)(9, 250)(10, 218)(11, 256)(12, 258)(13, 261)(14, 219)(15, 267)(16, 269)(17, 252)(18, 272)(19, 260)(20, 270)(21, 221)(22, 268)(23, 271)(24, 222)(25, 280)(26, 283)(27, 287)(28, 223)(29, 291)(30, 227)(31, 230)(32, 224)(33, 239)(34, 300)(35, 288)(36, 299)(37, 301)(38, 226)(39, 285)(40, 284)(41, 304)(42, 295)(43, 292)(44, 307)(45, 234)(46, 306)(47, 229)(48, 305)(49, 296)(50, 309)(51, 303)(52, 231)(53, 240)(54, 308)(55, 233)(56, 294)(57, 313)(58, 238)(59, 311)(60, 236)(61, 237)(62, 298)(63, 314)(64, 316)(65, 241)(66, 318)(67, 245)(68, 248)(69, 242)(70, 253)(71, 323)(72, 322)(73, 244)(74, 315)(75, 255)(76, 278)(77, 319)(78, 263)(79, 247)(80, 259)(81, 320)(82, 265)(83, 249)(84, 254)(85, 251)(86, 321)(87, 274)(88, 266)(89, 257)(90, 273)(91, 277)(92, 324)(93, 264)(94, 276)(95, 262)(96, 317)(97, 275)(98, 282)(99, 279)(100, 312)(101, 281)(102, 290)(103, 302)(104, 293)(105, 297)(106, 286)(107, 289)(108, 310)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2285
Graph:: simple bipartite
	v = 72 e = 216 f = 90
	degree seq :: [ 4^54, 12^18 ]

E28.2291 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C3 x S3 x S3 (small group id <108, 38>)
Aut   = S3 x S3 x S3 (small group id <216, 162>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3^-1 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1 * Y2 * Y1^-1 * Y3^-1 * Y2 * Y3, Y1^-1 * Y2 * Y1 * Y2 * Y3^-2, (Y3^-1 * Y1^-1)^3, Y3^-1 * Y1^-2 * Y3 * Y1^2, Y1^6, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1)^3, Y3^6, Y3 * Y2 * Y3^-1 * Y1^2 * Y2 * Y1^-2, Y2 * Y3 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-1, R * Y3^-3 * Y2 * Y3 * R * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110, 7, 115, 25, 133, 20, 128, 5, 113)(3, 111, 11, 119, 39, 147, 63, 171, 45, 153, 13, 121)(4, 112, 15, 123, 27, 135, 70, 178, 55, 163, 17, 125)(6, 114, 22, 130, 28, 136, 72, 180, 61, 169, 23, 131)(8, 116, 29, 137, 74, 182, 60, 168, 79, 187, 31, 139)(9, 117, 33, 141, 64, 172, 59, 167, 19, 127, 35, 143)(10, 118, 36, 144, 65, 173, 50, 158, 21, 129, 37, 145)(12, 120, 41, 149, 75, 183, 107, 215, 89, 197, 42, 150)(14, 122, 47, 155, 67, 175, 103, 211, 94, 202, 48, 156)(16, 124, 34, 142, 71, 179, 100, 208, 93, 201, 53, 161)(18, 126, 49, 157, 68, 176, 26, 134, 66, 174, 57, 165)(24, 132, 38, 146, 73, 181, 101, 209, 90, 198, 43, 151)(30, 138, 76, 184, 102, 210, 88, 196, 58, 166, 77, 185)(32, 140, 80, 188, 98, 206, 92, 200, 44, 152, 81, 189)(40, 148, 86, 194, 99, 207, 87, 195, 46, 154, 84, 192)(51, 159, 91, 199, 105, 213, 83, 191, 56, 164, 96, 204)(52, 160, 95, 203, 106, 214, 85, 193, 108, 216, 82, 190)(54, 162, 78, 186, 62, 170, 69, 177, 104, 212, 97, 205)(217, 325, 219, 327)(218, 326, 224, 332)(220, 328, 230, 338)(221, 329, 234, 342)(222, 330, 228, 336)(223, 331, 242, 350)(225, 333, 248, 356)(226, 334, 246, 354)(227, 335, 250, 358)(229, 337, 259, 367)(231, 339, 257, 365)(232, 340, 265, 373)(233, 341, 270, 378)(235, 343, 274, 382)(236, 344, 276, 384)(237, 345, 262, 370)(238, 346, 278, 386)(239, 347, 264, 372)(240, 348, 247, 355)(241, 349, 279, 387)(243, 351, 285, 393)(244, 352, 283, 391)(245, 353, 287, 395)(249, 357, 292, 400)(251, 359, 300, 408)(252, 360, 302, 410)(253, 361, 297, 405)(254, 362, 284, 392)(255, 363, 289, 397)(256, 364, 299, 407)(258, 366, 298, 406)(260, 368, 307, 415)(261, 369, 309, 417)(263, 371, 311, 419)(266, 374, 304, 412)(267, 375, 303, 411)(268, 376, 294, 402)(269, 377, 295, 403)(271, 379, 305, 413)(272, 380, 296, 404)(273, 381, 306, 414)(275, 383, 308, 416)(277, 385, 313, 421)(280, 388, 315, 423)(281, 389, 314, 422)(282, 390, 316, 424)(286, 394, 319, 427)(288, 396, 323, 431)(290, 398, 317, 425)(291, 399, 322, 430)(293, 401, 321, 429)(301, 409, 320, 428)(310, 418, 324, 432)(312, 420, 318, 426)
	L = (1, 220)(2, 225)(3, 228)(4, 232)(5, 235)(6, 217)(7, 243)(8, 246)(9, 250)(10, 218)(11, 248)(12, 247)(13, 260)(14, 219)(15, 266)(16, 268)(17, 252)(18, 262)(19, 269)(20, 271)(21, 221)(22, 267)(23, 272)(24, 222)(25, 280)(26, 283)(27, 287)(28, 223)(29, 285)(30, 284)(31, 294)(32, 224)(33, 239)(34, 299)(35, 288)(36, 298)(37, 301)(38, 226)(39, 291)(40, 227)(41, 303)(42, 302)(43, 237)(44, 295)(45, 305)(46, 229)(47, 304)(48, 292)(49, 230)(50, 311)(51, 231)(52, 240)(53, 307)(54, 296)(55, 309)(56, 233)(57, 310)(58, 234)(59, 238)(60, 313)(61, 236)(62, 308)(63, 314)(64, 316)(65, 241)(66, 315)(67, 255)(68, 256)(69, 242)(70, 253)(71, 322)(72, 321)(73, 244)(74, 318)(75, 245)(76, 258)(77, 323)(78, 265)(79, 274)(80, 264)(81, 319)(82, 249)(83, 254)(84, 320)(85, 251)(86, 270)(87, 278)(88, 257)(89, 276)(90, 277)(91, 259)(92, 263)(93, 324)(94, 261)(95, 275)(96, 317)(97, 273)(98, 290)(99, 279)(100, 312)(101, 281)(102, 282)(103, 293)(104, 297)(105, 286)(106, 289)(107, 300)(108, 306)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2276
Graph:: simple bipartite
	v = 72 e = 216 f = 90
	degree seq :: [ 4^54, 12^18 ]

E28.2292 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C3 x S3 x S3 (small group id <108, 38>)
Aut   = S3 x S3 x S3 (small group id <216, 162>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (R * Y1)^2, (Y3 * Y2)^2, (R * Y3)^2, Y3 * Y1^2 * Y3 * Y1^-2, Y1^6, (Y3 * Y1^-1)^3, Y1^-1 * Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y1^-2, Y1^-2 * Y2 * Y1 * Y2 * Y1^2 * Y2 * Y1^-1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110, 6, 114, 17, 125, 16, 124, 5, 113)(3, 111, 9, 117, 25, 133, 56, 164, 32, 140, 11, 119)(4, 112, 12, 120, 19, 127, 46, 154, 36, 144, 13, 121)(7, 115, 20, 128, 47, 155, 33, 141, 54, 162, 22, 130)(8, 116, 23, 131, 42, 150, 34, 142, 15, 123, 24, 132)(10, 118, 28, 136, 58, 166, 79, 187, 66, 174, 29, 137)(14, 122, 37, 145, 73, 181, 35, 143, 72, 180, 39, 147)(18, 126, 43, 151, 80, 188, 55, 163, 85, 193, 45, 153)(21, 129, 50, 158, 88, 196, 74, 182, 96, 204, 51, 159)(26, 134, 59, 167, 81, 189, 63, 171, 90, 198, 61, 169)(27, 135, 62, 170, 86, 194, 64, 172, 31, 139, 41, 149)(30, 138, 67, 175, 84, 192, 65, 173, 98, 206, 69, 177)(38, 146, 76, 184, 83, 191, 44, 152, 82, 190, 77, 185)(40, 148, 49, 157, 92, 200, 71, 179, 94, 202, 53, 161)(48, 156, 89, 197, 60, 168, 93, 201, 75, 183, 91, 199)(52, 160, 97, 205, 68, 176, 95, 203, 78, 186, 99, 207)(57, 165, 87, 195, 105, 213, 103, 211, 107, 215, 101, 209)(70, 178, 100, 208, 106, 214, 104, 212, 108, 216, 102, 210)(217, 325, 219, 327)(218, 326, 223, 331)(220, 328, 226, 334)(221, 329, 230, 338)(222, 330, 234, 342)(224, 332, 237, 345)(225, 333, 242, 350)(227, 335, 246, 354)(228, 336, 249, 357)(229, 337, 251, 359)(231, 339, 254, 362)(232, 340, 256, 364)(233, 341, 257, 365)(235, 343, 260, 368)(236, 344, 264, 372)(238, 346, 268, 376)(239, 347, 271, 379)(240, 348, 272, 380)(241, 349, 273, 381)(243, 351, 276, 384)(244, 352, 279, 387)(245, 353, 281, 389)(247, 355, 284, 392)(248, 356, 286, 394)(250, 358, 287, 395)(252, 360, 290, 398)(253, 361, 291, 399)(255, 363, 294, 402)(258, 366, 295, 403)(259, 367, 297, 405)(261, 369, 300, 408)(262, 370, 302, 410)(263, 371, 303, 411)(265, 373, 306, 414)(266, 374, 309, 417)(267, 375, 311, 419)(269, 377, 314, 422)(270, 378, 316, 424)(274, 382, 315, 423)(275, 383, 312, 420)(277, 385, 298, 406)(278, 386, 319, 427)(280, 388, 320, 428)(282, 390, 307, 415)(283, 391, 304, 412)(285, 393, 299, 407)(288, 396, 318, 426)(289, 397, 317, 425)(292, 400, 305, 413)(293, 401, 313, 421)(296, 404, 321, 429)(301, 409, 322, 430)(308, 416, 323, 431)(310, 418, 324, 432)
	L = (1, 220)(2, 224)(3, 226)(4, 217)(5, 231)(6, 235)(7, 237)(8, 218)(9, 243)(10, 219)(11, 247)(12, 250)(13, 239)(14, 254)(15, 221)(16, 252)(17, 258)(18, 260)(19, 222)(20, 265)(21, 223)(22, 269)(23, 229)(24, 262)(25, 274)(26, 276)(27, 225)(28, 280)(29, 278)(30, 284)(31, 227)(32, 282)(33, 287)(34, 228)(35, 271)(36, 232)(37, 259)(38, 230)(39, 261)(40, 290)(41, 295)(42, 233)(43, 253)(44, 234)(45, 255)(46, 240)(47, 304)(48, 306)(49, 236)(50, 310)(51, 308)(52, 314)(53, 238)(54, 312)(55, 251)(56, 302)(57, 315)(58, 241)(59, 316)(60, 242)(61, 318)(62, 245)(63, 320)(64, 244)(65, 319)(66, 248)(67, 303)(68, 246)(69, 317)(70, 307)(71, 249)(72, 298)(73, 299)(74, 256)(75, 297)(76, 301)(77, 296)(78, 300)(79, 257)(80, 293)(81, 291)(82, 288)(83, 289)(84, 294)(85, 292)(86, 272)(87, 283)(88, 263)(89, 322)(90, 264)(91, 286)(92, 267)(93, 324)(94, 266)(95, 323)(96, 270)(97, 321)(98, 268)(99, 273)(100, 275)(101, 285)(102, 277)(103, 281)(104, 279)(105, 313)(106, 305)(107, 311)(108, 309)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2278
Graph:: simple bipartite
	v = 72 e = 216 f = 90
	degree seq :: [ 4^54, 12^18 ]

E28.2293 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = (C3 x ((C3 x C3) : C2)) : C2 (small group id <108, 40>)
Aut   = S3 x S3 x S3 (small group id <216, 162>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1 * Y3 * Y1^-2 * Y3 * Y1, (Y3 * Y1^-1)^3, Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-1, (Y1^-1 * Y2 * Y1^-1)^2, Y1^6, Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110, 6, 114, 17, 125, 16, 124, 5, 113)(3, 111, 9, 117, 25, 133, 41, 149, 18, 126, 11, 119)(4, 112, 12, 120, 19, 127, 42, 150, 35, 143, 13, 121)(7, 115, 20, 128, 14, 122, 36, 144, 38, 146, 22, 130)(8, 116, 23, 131, 39, 147, 33, 141, 15, 123, 24, 132)(10, 118, 28, 136, 51, 159, 70, 178, 40, 148, 29, 137)(21, 129, 45, 153, 37, 145, 68, 176, 69, 177, 46, 154)(26, 134, 52, 160, 30, 138, 60, 168, 71, 179, 54, 162)(27, 135, 55, 163, 72, 180, 58, 166, 31, 139, 56, 164)(32, 140, 62, 170, 34, 142, 65, 173, 73, 181, 64, 172)(43, 151, 74, 182, 47, 155, 82, 190, 66, 174, 76, 184)(44, 152, 77, 185, 67, 175, 80, 188, 48, 156, 78, 186)(49, 157, 84, 192, 50, 158, 86, 194, 63, 171, 85, 193)(53, 161, 79, 187, 61, 169, 81, 189, 99, 207, 89, 197)(57, 165, 75, 183, 59, 167, 83, 191, 98, 206, 95, 203)(87, 195, 102, 210, 90, 198, 107, 215, 96, 204, 100, 208)(88, 196, 105, 213, 97, 205, 106, 214, 91, 199, 104, 212)(92, 200, 103, 211, 93, 201, 101, 209, 94, 202, 108, 216)(217, 325, 219, 327)(218, 326, 223, 331)(220, 328, 226, 334)(221, 329, 230, 338)(222, 330, 234, 342)(224, 332, 237, 345)(225, 333, 242, 350)(227, 335, 246, 354)(228, 336, 248, 356)(229, 337, 250, 358)(231, 339, 253, 361)(232, 340, 241, 349)(233, 341, 254, 362)(235, 343, 256, 364)(236, 344, 259, 367)(238, 346, 263, 371)(239, 347, 265, 373)(240, 348, 266, 374)(243, 351, 269, 377)(244, 352, 273, 381)(245, 353, 275, 383)(247, 355, 277, 385)(249, 357, 279, 387)(251, 359, 267, 375)(252, 360, 282, 390)(255, 363, 285, 393)(257, 365, 287, 395)(258, 366, 289, 397)(260, 368, 291, 399)(261, 369, 295, 403)(262, 370, 297, 405)(264, 372, 299, 407)(268, 376, 303, 411)(270, 378, 306, 414)(271, 379, 308, 416)(272, 380, 309, 417)(274, 382, 310, 418)(276, 384, 312, 420)(278, 386, 304, 412)(280, 388, 313, 421)(281, 389, 307, 415)(283, 391, 311, 419)(284, 392, 305, 413)(286, 394, 314, 422)(288, 396, 315, 423)(290, 398, 316, 424)(292, 400, 318, 426)(293, 401, 320, 428)(294, 402, 321, 429)(296, 404, 322, 430)(298, 406, 323, 431)(300, 408, 317, 425)(301, 409, 324, 432)(302, 410, 319, 427)
	L = (1, 220)(2, 224)(3, 226)(4, 217)(5, 231)(6, 235)(7, 237)(8, 218)(9, 243)(10, 219)(11, 247)(12, 249)(13, 239)(14, 253)(15, 221)(16, 251)(17, 255)(18, 256)(19, 222)(20, 260)(21, 223)(22, 264)(23, 229)(24, 258)(25, 267)(26, 269)(27, 225)(28, 274)(29, 271)(30, 277)(31, 227)(32, 279)(33, 228)(34, 265)(35, 232)(36, 283)(37, 230)(38, 285)(39, 233)(40, 234)(41, 288)(42, 240)(43, 291)(44, 236)(45, 296)(46, 293)(47, 299)(48, 238)(49, 250)(50, 289)(51, 241)(52, 304)(53, 242)(54, 307)(55, 245)(56, 286)(57, 310)(58, 244)(59, 308)(60, 313)(61, 246)(62, 303)(63, 248)(64, 312)(65, 306)(66, 311)(67, 252)(68, 294)(69, 254)(70, 272)(71, 315)(72, 257)(73, 266)(74, 317)(75, 259)(76, 319)(77, 262)(78, 284)(79, 322)(80, 261)(81, 320)(82, 324)(83, 263)(84, 316)(85, 323)(86, 318)(87, 278)(88, 268)(89, 321)(90, 281)(91, 270)(92, 275)(93, 314)(94, 273)(95, 282)(96, 280)(97, 276)(98, 309)(99, 287)(100, 300)(101, 290)(102, 302)(103, 292)(104, 297)(105, 305)(106, 295)(107, 301)(108, 298)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2281
Graph:: simple bipartite
	v = 72 e = 216 f = 90
	degree seq :: [ 4^54, 12^18 ]

E28.2294 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C3 x S3 x S3 (small group id <108, 38>)
Aut   = S3 x S3 x S3 (small group id <216, 162>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y1 * Y3 * Y2 * Y1^-1, Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1, Y1^-1 * Y3 * Y1^2 * Y3^-1 * Y1^-1, (Y3^-1 * Y1^-1)^3, Y3^2 * Y1 * Y3^-2 * Y1^-1, Y1^6, (Y3 * Y1^-1)^3, Y3^6, Y2 * Y1^-1 * R * Y2 * Y1 * Y3 * R * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110, 7, 115, 25, 133, 20, 128, 5, 113)(3, 111, 11, 119, 26, 134, 61, 169, 46, 154, 13, 121)(4, 112, 15, 123, 27, 135, 64, 172, 53, 161, 17, 125)(6, 114, 22, 130, 28, 136, 66, 174, 56, 164, 23, 131)(8, 116, 29, 137, 58, 166, 54, 162, 18, 126, 31, 139)(9, 117, 33, 141, 59, 167, 55, 163, 19, 127, 35, 143)(10, 118, 36, 144, 60, 168, 50, 158, 21, 129, 37, 145)(12, 120, 30, 138, 62, 170, 91, 199, 86, 194, 43, 151)(14, 122, 32, 140, 63, 171, 92, 200, 87, 195, 48, 156)(16, 124, 34, 142, 65, 173, 93, 201, 89, 197, 52, 160)(24, 132, 38, 146, 67, 175, 94, 202, 90, 198, 57, 165)(39, 147, 77, 185, 95, 203, 76, 184, 44, 152, 78, 186)(40, 148, 79, 187, 96, 204, 75, 183, 45, 153, 81, 189)(41, 149, 82, 190, 97, 205, 71, 179, 47, 155, 83, 191)(42, 150, 80, 188, 98, 206, 74, 182, 103, 211, 70, 178)(49, 157, 84, 192, 99, 207, 73, 181, 102, 210, 69, 177)(51, 159, 88, 196, 100, 208, 72, 180, 101, 209, 68, 176)(85, 193, 104, 212, 107, 215, 106, 214, 108, 216, 105, 213)(217, 325, 219, 327)(218, 326, 224, 332)(220, 328, 230, 338)(221, 329, 234, 342)(222, 330, 228, 336)(223, 331, 242, 350)(225, 333, 248, 356)(226, 334, 246, 354)(227, 335, 255, 363)(229, 337, 260, 368)(231, 339, 257, 365)(232, 340, 265, 373)(233, 341, 263, 371)(235, 343, 264, 372)(236, 344, 262, 370)(237, 345, 259, 367)(238, 346, 256, 364)(239, 347, 261, 369)(240, 348, 258, 366)(241, 349, 274, 382)(243, 351, 279, 387)(244, 352, 278, 386)(245, 353, 284, 392)(247, 355, 288, 396)(249, 357, 286, 394)(250, 358, 291, 399)(251, 359, 290, 398)(252, 360, 285, 393)(253, 361, 289, 397)(254, 362, 287, 395)(266, 374, 300, 408)(267, 375, 301, 409)(268, 376, 295, 403)(269, 377, 303, 411)(270, 378, 304, 412)(271, 379, 296, 404)(272, 380, 302, 410)(273, 381, 298, 406)(275, 383, 308, 416)(276, 384, 307, 415)(277, 385, 311, 419)(280, 388, 313, 421)(281, 389, 315, 423)(282, 390, 312, 420)(283, 391, 314, 422)(292, 400, 320, 428)(293, 401, 321, 429)(294, 402, 322, 430)(297, 405, 309, 417)(299, 407, 310, 418)(305, 413, 318, 426)(306, 414, 319, 427)(316, 424, 323, 431)(317, 425, 324, 432)
	L = (1, 220)(2, 225)(3, 228)(4, 232)(5, 235)(6, 217)(7, 243)(8, 246)(9, 250)(10, 218)(11, 256)(12, 258)(13, 261)(14, 219)(15, 266)(16, 267)(17, 252)(18, 259)(19, 268)(20, 269)(21, 221)(22, 255)(23, 260)(24, 222)(25, 275)(26, 278)(27, 281)(28, 223)(29, 285)(30, 287)(31, 289)(32, 224)(33, 239)(34, 292)(35, 282)(36, 284)(37, 288)(38, 226)(39, 231)(40, 296)(41, 227)(42, 301)(43, 298)(44, 233)(45, 286)(46, 302)(47, 229)(48, 234)(49, 230)(50, 304)(51, 240)(52, 293)(53, 305)(54, 300)(55, 238)(56, 236)(57, 237)(58, 307)(59, 309)(60, 241)(61, 312)(62, 314)(63, 242)(64, 253)(65, 316)(66, 311)(67, 244)(68, 249)(69, 263)(70, 245)(71, 320)(72, 251)(73, 313)(74, 247)(75, 248)(76, 254)(77, 273)(78, 310)(79, 264)(80, 270)(81, 308)(82, 321)(83, 322)(84, 257)(85, 265)(86, 319)(87, 262)(88, 271)(89, 317)(90, 272)(91, 299)(92, 274)(93, 294)(94, 276)(95, 280)(96, 290)(97, 277)(98, 323)(99, 279)(100, 283)(101, 306)(102, 303)(103, 324)(104, 291)(105, 295)(106, 297)(107, 315)(108, 318)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2282
Graph:: simple bipartite
	v = 72 e = 216 f = 90
	degree seq :: [ 4^54, 12^18 ]

E28.2295 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C3 x S3 x S3 (small group id <108, 38>)
Aut   = S3 x S3 x S3 (small group id <216, 162>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^6, Y3 * Y2 * Y1 * Y2 * Y3 * Y1^-1, Y3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y1^-1 * Y3^-1 * Y1^2 * Y3 * Y1^-1, Y3^-1 * Y1^-1 * Y3^2 * Y1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y1^6, (Y3^-1 * Y1^-1)^3, Y3^2 * Y1^-1 * Y2 * Y3 * Y1 * Y2 * Y3, Y3^3 * Y2 * Y1 * Y3 * Y2 * Y1^-1, Y2 * Y3 * Y1 * Y3^3 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110, 7, 115, 25, 133, 20, 128, 5, 113)(3, 111, 11, 119, 39, 147, 79, 187, 46, 154, 13, 121)(4, 112, 15, 123, 27, 135, 70, 178, 55, 163, 17, 125)(6, 114, 22, 130, 28, 136, 72, 180, 60, 168, 23, 131)(8, 116, 29, 137, 74, 182, 41, 149, 78, 186, 31, 139)(9, 117, 33, 141, 64, 172, 40, 148, 19, 127, 35, 143)(10, 118, 36, 144, 65, 173, 51, 159, 21, 129, 37, 145)(12, 120, 43, 151, 69, 177, 98, 206, 90, 198, 45, 153)(14, 122, 30, 138, 76, 184, 99, 207, 93, 201, 48, 156)(16, 124, 34, 142, 71, 179, 100, 208, 96, 204, 54, 162)(18, 126, 57, 165, 81, 189, 47, 155, 88, 196, 42, 150)(24, 132, 38, 146, 73, 181, 101, 209, 92, 200, 61, 169)(26, 134, 66, 174, 102, 210, 75, 183, 44, 152, 68, 176)(32, 140, 67, 175, 104, 212, 97, 205, 58, 166, 80, 188)(49, 157, 89, 197, 105, 213, 86, 194, 59, 167, 82, 190)(50, 158, 91, 199, 103, 211, 77, 185, 62, 170, 63, 171)(52, 160, 94, 202, 106, 214, 84, 192, 56, 164, 95, 203)(53, 161, 87, 195, 107, 215, 85, 193, 108, 216, 83, 191)(217, 325, 219, 327)(218, 326, 224, 332)(220, 328, 230, 338)(221, 329, 234, 342)(222, 330, 228, 336)(223, 331, 242, 350)(225, 333, 248, 356)(226, 334, 246, 354)(227, 335, 256, 364)(229, 337, 252, 360)(231, 339, 266, 374)(232, 340, 265, 373)(233, 341, 245, 353)(235, 343, 261, 369)(236, 344, 275, 383)(237, 345, 274, 382)(238, 346, 258, 366)(239, 347, 278, 386)(240, 348, 260, 368)(241, 349, 279, 387)(243, 351, 285, 393)(244, 352, 283, 391)(247, 355, 288, 396)(249, 357, 298, 406)(250, 358, 297, 405)(251, 359, 282, 390)(253, 361, 302, 410)(254, 362, 293, 401)(255, 363, 287, 395)(257, 365, 303, 411)(259, 367, 300, 408)(262, 370, 308, 416)(263, 371, 299, 407)(264, 372, 310, 418)(267, 375, 284, 392)(268, 376, 305, 413)(269, 377, 296, 404)(270, 378, 307, 415)(271, 379, 313, 421)(272, 380, 291, 399)(273, 381, 286, 394)(276, 384, 309, 417)(277, 385, 294, 402)(280, 388, 315, 423)(281, 389, 314, 422)(289, 397, 321, 429)(290, 398, 316, 424)(292, 400, 323, 431)(295, 403, 322, 430)(301, 409, 319, 427)(304, 412, 317, 425)(306, 414, 324, 432)(311, 419, 320, 428)(312, 420, 318, 426)
	L = (1, 220)(2, 225)(3, 228)(4, 232)(5, 235)(6, 217)(7, 243)(8, 246)(9, 250)(10, 218)(11, 257)(12, 260)(13, 245)(14, 219)(15, 267)(16, 269)(17, 252)(18, 274)(19, 270)(20, 271)(21, 221)(22, 268)(23, 272)(24, 222)(25, 280)(26, 283)(27, 287)(28, 223)(29, 291)(30, 293)(31, 282)(32, 224)(33, 239)(34, 300)(35, 288)(36, 299)(37, 301)(38, 226)(39, 285)(40, 238)(41, 284)(42, 227)(43, 297)(44, 296)(45, 234)(46, 306)(47, 229)(48, 307)(49, 230)(50, 305)(51, 303)(52, 231)(53, 240)(54, 310)(55, 312)(56, 233)(57, 295)(58, 294)(59, 309)(60, 236)(61, 237)(62, 298)(63, 314)(64, 316)(65, 241)(66, 319)(67, 321)(68, 266)(69, 242)(70, 253)(71, 323)(72, 322)(73, 244)(74, 315)(75, 278)(76, 255)(77, 259)(78, 264)(79, 247)(80, 265)(81, 248)(82, 263)(83, 249)(84, 254)(85, 251)(86, 273)(87, 256)(88, 320)(89, 258)(90, 318)(91, 261)(92, 276)(93, 262)(94, 277)(95, 317)(96, 324)(97, 275)(98, 304)(99, 279)(100, 311)(101, 281)(102, 313)(103, 302)(104, 290)(105, 292)(106, 286)(107, 289)(108, 308)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2284
Graph:: simple bipartite
	v = 72 e = 216 f = 90
	degree seq :: [ 4^54, 12^18 ]

E28.2296 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C3 x S3 x S3 (small group id <108, 38>)
Aut   = S3 x S3 x S3 (small group id <216, 162>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, (Y3 * Y1^-1)^3, Y3^-1 * Y2 * Y1 * Y3 * Y2 * Y1^-1, Y3^-2 * Y1 * Y3^2 * Y1^-1, Y1^-1 * Y3 * Y1^2 * Y3^-1 * Y1^-1, Y1^6, (Y3^-1 * Y1^-1)^3, Y3^6, Y2 * Y3 * Y1^-1 * Y3^3 * Y2 * Y1, Y2 * Y3^-2 * Y1^2 * Y2 * Y1^-2, R * Y3 * Y2 * Y1^-1 * Y2 * R * Y3^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110, 7, 115, 25, 133, 20, 128, 5, 113)(3, 111, 11, 119, 39, 147, 78, 186, 46, 154, 13, 121)(4, 112, 15, 123, 27, 135, 70, 178, 54, 162, 17, 125)(6, 114, 22, 130, 28, 136, 72, 180, 60, 168, 23, 131)(8, 116, 29, 137, 74, 182, 42, 150, 79, 187, 31, 139)(9, 117, 33, 141, 64, 172, 58, 166, 19, 127, 35, 143)(10, 118, 36, 144, 65, 173, 40, 148, 21, 129, 37, 145)(12, 120, 32, 140, 80, 188, 98, 206, 91, 199, 44, 152)(14, 122, 47, 155, 67, 175, 99, 207, 94, 202, 48, 156)(16, 124, 34, 142, 71, 179, 100, 208, 93, 201, 52, 160)(18, 126, 56, 164, 76, 184, 45, 153, 89, 197, 41, 149)(24, 132, 38, 146, 73, 181, 101, 209, 97, 205, 61, 169)(26, 134, 66, 174, 102, 210, 75, 183, 49, 157, 68, 176)(30, 138, 69, 177, 104, 212, 96, 204, 57, 165, 77, 185)(43, 151, 88, 196, 105, 213, 84, 192, 59, 167, 86, 194)(50, 158, 90, 198, 106, 214, 83, 191, 55, 163, 95, 203)(51, 159, 87, 195, 107, 215, 85, 193, 108, 216, 82, 190)(53, 161, 63, 171, 62, 170, 92, 200, 103, 211, 81, 189)(217, 325, 219, 327)(218, 326, 224, 332)(220, 328, 230, 338)(221, 329, 234, 342)(222, 330, 228, 336)(223, 331, 242, 350)(225, 333, 248, 356)(226, 334, 246, 354)(227, 335, 256, 364)(229, 337, 249, 357)(231, 339, 257, 365)(232, 340, 265, 373)(233, 341, 269, 377)(235, 343, 273, 381)(236, 344, 275, 383)(237, 345, 264, 372)(238, 346, 278, 386)(239, 347, 245, 353)(240, 348, 259, 367)(241, 349, 279, 387)(243, 351, 285, 393)(244, 352, 283, 391)(247, 355, 286, 394)(250, 358, 297, 405)(251, 359, 300, 408)(252, 360, 302, 410)(253, 361, 282, 390)(254, 362, 292, 400)(255, 363, 289, 397)(258, 366, 303, 411)(260, 368, 306, 414)(261, 369, 298, 406)(262, 370, 309, 417)(263, 371, 299, 407)(266, 374, 304, 412)(267, 375, 293, 401)(268, 376, 295, 403)(270, 378, 307, 415)(271, 379, 291, 399)(272, 380, 288, 396)(274, 382, 284, 392)(276, 384, 312, 420)(277, 385, 308, 416)(280, 388, 315, 423)(281, 389, 314, 422)(287, 395, 321, 429)(290, 398, 317, 425)(294, 402, 322, 430)(296, 404, 323, 431)(301, 409, 319, 427)(305, 413, 316, 424)(310, 418, 324, 432)(311, 419, 320, 428)(313, 421, 318, 426)
	L = (1, 220)(2, 225)(3, 228)(4, 232)(5, 235)(6, 217)(7, 243)(8, 246)(9, 250)(10, 218)(11, 257)(12, 259)(13, 261)(14, 219)(15, 256)(16, 267)(17, 252)(18, 264)(19, 268)(20, 270)(21, 221)(22, 266)(23, 271)(24, 222)(25, 280)(26, 283)(27, 287)(28, 223)(29, 229)(30, 292)(31, 294)(32, 224)(33, 239)(34, 299)(35, 288)(36, 298)(37, 301)(38, 226)(39, 296)(40, 303)(41, 304)(42, 227)(43, 293)(44, 295)(45, 302)(46, 307)(47, 297)(48, 308)(49, 230)(50, 231)(51, 240)(52, 306)(53, 291)(54, 309)(55, 233)(56, 300)(57, 234)(58, 238)(59, 312)(60, 236)(61, 237)(62, 284)(63, 314)(64, 316)(65, 241)(66, 247)(67, 255)(68, 258)(69, 242)(70, 253)(71, 323)(72, 322)(73, 244)(74, 320)(75, 245)(76, 263)(77, 265)(78, 272)(79, 273)(80, 321)(81, 248)(82, 249)(83, 254)(84, 319)(85, 251)(86, 269)(87, 274)(88, 278)(89, 315)(90, 277)(91, 275)(92, 260)(93, 324)(94, 262)(95, 317)(96, 318)(97, 276)(98, 290)(99, 279)(100, 311)(101, 281)(102, 310)(103, 282)(104, 305)(105, 285)(106, 286)(107, 289)(108, 313)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2275
Graph:: simple bipartite
	v = 72 e = 216 f = 90
	degree seq :: [ 4^54, 12^18 ]

E28.2297 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = (C3 x ((C3 x C3) : C2)) : C2 (small group id <108, 40>)
Aut   = S3 x S3 x S3 (small group id <216, 162>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^-2 * Y1^2, (R * Y1)^2, (Y3 * Y2)^2, (R * Y3)^2, Y3^-2 * Y2 * Y1^-2 * Y2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2 * Y3^-2 * Y2 * Y1^-2, (Y3^-1 * Y1^-1)^3, Y3^6, (Y3^-1 * Y2 * Y1 * Y2 * Y1^-1)^2, Y3 * Y2 * Y1 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1, (Y2 * Y1 * Y3 * Y2 * Y1^-1)^2, Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110, 7, 115, 21, 129, 18, 126, 5, 113)(3, 111, 11, 119, 31, 139, 46, 154, 22, 130, 13, 121)(4, 112, 15, 123, 23, 131, 20, 128, 6, 114, 16, 124)(8, 116, 24, 132, 17, 125, 42, 150, 45, 153, 26, 134)(9, 117, 28, 136, 19, 127, 30, 138, 10, 118, 29, 137)(12, 120, 35, 143, 47, 155, 39, 147, 14, 122, 36, 144)(25, 133, 51, 159, 43, 151, 55, 163, 27, 135, 52, 160)(32, 140, 59, 167, 37, 145, 68, 176, 75, 183, 61, 169)(33, 141, 63, 171, 38, 146, 65, 173, 34, 142, 64, 172)(40, 148, 71, 179, 41, 149, 73, 181, 44, 152, 72, 180)(48, 156, 76, 184, 53, 161, 85, 193, 74, 182, 78, 186)(49, 157, 80, 188, 54, 162, 82, 190, 50, 158, 81, 189)(56, 164, 88, 196, 57, 165, 90, 198, 58, 166, 89, 197)(60, 168, 84, 192, 69, 177, 87, 195, 62, 170, 83, 191)(66, 174, 79, 187, 67, 175, 77, 185, 70, 178, 86, 194)(91, 199, 103, 211, 94, 202, 108, 216, 99, 207, 100, 208)(92, 200, 107, 215, 95, 203, 105, 213, 93, 201, 106, 214)(96, 204, 104, 212, 97, 205, 102, 210, 98, 206, 101, 209)(217, 325, 219, 327)(218, 326, 224, 332)(220, 328, 230, 338)(221, 329, 233, 341)(222, 330, 228, 336)(223, 331, 238, 346)(225, 333, 243, 351)(226, 334, 241, 349)(227, 335, 248, 356)(229, 337, 253, 361)(231, 339, 256, 364)(232, 340, 257, 365)(234, 342, 247, 355)(235, 343, 259, 367)(236, 344, 260, 368)(237, 345, 261, 369)(239, 347, 263, 371)(240, 348, 264, 372)(242, 350, 269, 377)(244, 352, 272, 380)(245, 353, 273, 381)(246, 354, 274, 382)(249, 357, 278, 386)(250, 358, 276, 384)(251, 359, 282, 390)(252, 360, 283, 391)(254, 362, 285, 393)(255, 363, 286, 394)(258, 366, 290, 398)(262, 370, 291, 399)(265, 373, 295, 403)(266, 374, 293, 401)(267, 375, 299, 407)(268, 376, 300, 408)(270, 378, 302, 410)(271, 379, 303, 411)(275, 383, 307, 415)(277, 385, 310, 418)(279, 387, 312, 420)(280, 388, 313, 421)(281, 389, 314, 422)(284, 392, 315, 423)(287, 395, 308, 416)(288, 396, 311, 419)(289, 397, 309, 417)(292, 400, 316, 424)(294, 402, 319, 427)(296, 404, 321, 429)(297, 405, 322, 430)(298, 406, 323, 431)(301, 409, 324, 432)(304, 412, 317, 425)(305, 413, 320, 428)(306, 414, 318, 426)
	L = (1, 220)(2, 225)(3, 228)(4, 223)(5, 226)(6, 217)(7, 239)(8, 241)(9, 237)(10, 218)(11, 249)(12, 247)(13, 250)(14, 219)(15, 244)(16, 245)(17, 259)(18, 222)(19, 221)(20, 246)(21, 235)(22, 230)(23, 234)(24, 265)(25, 233)(26, 266)(27, 224)(28, 236)(29, 231)(30, 232)(31, 263)(32, 276)(33, 262)(34, 227)(35, 279)(36, 280)(37, 285)(38, 229)(39, 281)(40, 273)(41, 274)(42, 270)(43, 261)(44, 272)(45, 243)(46, 254)(47, 238)(48, 293)(49, 258)(50, 240)(51, 296)(52, 297)(53, 302)(54, 242)(55, 298)(56, 256)(57, 257)(58, 260)(59, 308)(60, 253)(61, 309)(62, 248)(63, 255)(64, 251)(65, 252)(66, 313)(67, 314)(68, 311)(69, 291)(70, 312)(71, 307)(72, 315)(73, 310)(74, 295)(75, 278)(76, 317)(77, 269)(78, 318)(79, 264)(80, 271)(81, 267)(82, 268)(83, 322)(84, 323)(85, 320)(86, 290)(87, 321)(88, 316)(89, 324)(90, 319)(91, 289)(92, 284)(93, 275)(94, 288)(95, 277)(96, 282)(97, 283)(98, 286)(99, 287)(100, 306)(101, 301)(102, 292)(103, 305)(104, 294)(105, 299)(106, 300)(107, 303)(108, 304)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2286
Graph:: simple bipartite
	v = 72 e = 216 f = 90
	degree seq :: [ 4^54, 12^18 ]

E28.2298 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = (C3 x ((C3 x C3) : C2)) : C2 (small group id <108, 40>)
Aut   = S3 x S3 x S3 (small group id <216, 162>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2 * Y1^2, (R * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, (Y2 * Y1^-2)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y3^6, Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y1^6, (Y3 * Y1^-1)^3, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2 * Y3^2 * Y2 * Y1^-1, Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1^-1 * Y3^-1 * Y2 * Y1^-1, Y2 * Y1^-1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110, 7, 115, 21, 129, 16, 124, 5, 113)(3, 111, 11, 119, 31, 139, 47, 155, 22, 130, 13, 121)(4, 112, 15, 123, 6, 114, 20, 128, 23, 131, 17, 125)(8, 116, 24, 132, 18, 126, 42, 150, 45, 153, 26, 134)(9, 117, 28, 136, 10, 118, 30, 138, 19, 127, 29, 137)(12, 120, 35, 143, 14, 122, 39, 147, 46, 154, 36, 144)(25, 133, 51, 159, 27, 135, 55, 163, 43, 151, 52, 160)(32, 140, 59, 167, 37, 145, 68, 176, 75, 183, 61, 169)(33, 141, 63, 171, 34, 142, 65, 173, 38, 146, 64, 172)(40, 148, 71, 179, 41, 149, 73, 181, 44, 152, 72, 180)(48, 156, 76, 184, 53, 161, 85, 193, 74, 182, 78, 186)(49, 157, 80, 188, 50, 158, 82, 190, 54, 162, 81, 189)(56, 164, 88, 196, 57, 165, 90, 198, 58, 166, 89, 197)(60, 168, 87, 195, 62, 170, 83, 191, 69, 177, 84, 192)(66, 174, 79, 187, 67, 175, 86, 194, 70, 178, 77, 185)(91, 199, 103, 211, 94, 202, 108, 216, 99, 207, 100, 208)(92, 200, 105, 213, 93, 201, 106, 214, 95, 203, 107, 215)(96, 204, 101, 209, 97, 205, 102, 210, 98, 206, 104, 212)(217, 325, 219, 327)(218, 326, 224, 332)(220, 328, 230, 338)(221, 329, 234, 342)(222, 330, 228, 336)(223, 331, 238, 346)(225, 333, 243, 351)(226, 334, 241, 349)(227, 335, 248, 356)(229, 337, 253, 361)(231, 339, 256, 364)(232, 340, 247, 355)(233, 341, 257, 365)(235, 343, 259, 367)(236, 344, 260, 368)(237, 345, 261, 369)(239, 347, 262, 370)(240, 348, 264, 372)(242, 350, 269, 377)(244, 352, 272, 380)(245, 353, 273, 381)(246, 354, 274, 382)(249, 357, 278, 386)(250, 358, 276, 384)(251, 359, 282, 390)(252, 360, 283, 391)(254, 362, 285, 393)(255, 363, 286, 394)(258, 366, 290, 398)(263, 371, 291, 399)(265, 373, 295, 403)(266, 374, 293, 401)(267, 375, 299, 407)(268, 376, 300, 408)(270, 378, 302, 410)(271, 379, 303, 411)(275, 383, 307, 415)(277, 385, 310, 418)(279, 387, 312, 420)(280, 388, 313, 421)(281, 389, 314, 422)(284, 392, 315, 423)(287, 395, 308, 416)(288, 396, 309, 417)(289, 397, 311, 419)(292, 400, 316, 424)(294, 402, 319, 427)(296, 404, 321, 429)(297, 405, 322, 430)(298, 406, 323, 431)(301, 409, 324, 432)(304, 412, 317, 425)(305, 413, 318, 426)(306, 414, 320, 428)
	L = (1, 220)(2, 225)(3, 228)(4, 232)(5, 235)(6, 217)(7, 222)(8, 241)(9, 221)(10, 218)(11, 249)(12, 238)(13, 254)(14, 219)(15, 245)(16, 239)(17, 246)(18, 243)(19, 237)(20, 244)(21, 226)(22, 262)(23, 223)(24, 265)(25, 261)(26, 270)(27, 224)(28, 231)(29, 233)(30, 236)(31, 230)(32, 276)(33, 229)(34, 227)(35, 280)(36, 281)(37, 278)(38, 263)(39, 279)(40, 272)(41, 273)(42, 266)(43, 234)(44, 274)(45, 259)(46, 247)(47, 250)(48, 293)(49, 242)(50, 240)(51, 297)(52, 298)(53, 295)(54, 258)(55, 296)(56, 260)(57, 256)(58, 257)(59, 308)(60, 291)(61, 311)(62, 248)(63, 251)(64, 252)(65, 255)(66, 312)(67, 313)(68, 309)(69, 253)(70, 314)(71, 307)(72, 315)(73, 310)(74, 302)(75, 285)(76, 317)(77, 290)(78, 320)(79, 264)(80, 267)(81, 268)(82, 271)(83, 321)(84, 322)(85, 318)(86, 269)(87, 323)(88, 316)(89, 324)(90, 319)(91, 288)(92, 277)(93, 275)(94, 287)(95, 284)(96, 286)(97, 282)(98, 283)(99, 289)(100, 305)(101, 294)(102, 292)(103, 304)(104, 301)(105, 303)(106, 299)(107, 300)(108, 306)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2277
Graph:: simple bipartite
	v = 72 e = 216 f = 90
	degree seq :: [ 4^54, 12^18 ]

E28.2299 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
Aut   = S3 x S3 x S3 (small group id <216, 162>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^3, R * Y2 * R * Y2^-1, (Y3 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * Y3)^2, Y2 * Y1 * Y2^-2 * Y1^-1 * Y2, Y2^6, Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1^-1, Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110, 5, 113)(3, 111, 10, 118, 13, 121)(4, 112, 14, 122, 8, 116)(6, 114, 18, 126, 19, 127)(7, 115, 21, 129, 24, 132)(9, 117, 26, 134, 27, 135)(11, 119, 22, 130, 34, 142)(12, 120, 35, 143, 30, 138)(15, 123, 40, 148, 42, 150)(16, 124, 43, 151, 44, 152)(17, 125, 45, 153, 46, 154)(20, 128, 28, 136, 47, 155)(23, 131, 55, 163, 51, 159)(25, 133, 58, 166, 60, 168)(29, 137, 50, 158, 65, 173)(31, 139, 52, 160, 67, 175)(32, 140, 63, 171, 69, 177)(33, 141, 70, 178, 54, 162)(36, 144, 56, 164, 74, 182)(37, 145, 57, 165, 75, 183)(38, 146, 76, 184, 78, 186)(39, 147, 79, 187, 80, 188)(41, 149, 77, 185, 59, 167)(48, 156, 61, 169, 83, 191)(49, 157, 62, 170, 84, 192)(53, 161, 85, 193, 89, 197)(64, 172, 95, 203, 86, 194)(66, 174, 97, 205, 87, 195)(68, 176, 98, 206, 94, 202)(71, 179, 96, 204, 100, 208)(72, 180, 101, 209, 90, 198)(73, 181, 102, 210, 91, 199)(81, 189, 103, 211, 92, 200)(82, 190, 104, 212, 93, 201)(88, 196, 106, 214, 105, 213)(99, 207, 108, 216, 107, 215)(217, 325, 219, 327, 227, 335, 248, 356, 236, 344, 222, 330)(218, 326, 223, 331, 238, 346, 269, 377, 244, 352, 225, 333)(220, 328, 231, 339, 257, 365, 284, 392, 249, 357, 228, 336)(221, 329, 232, 340, 250, 358, 287, 395, 263, 371, 233, 341)(224, 332, 241, 349, 275, 383, 304, 412, 270, 378, 239, 347)(226, 334, 245, 353, 279, 387, 264, 372, 234, 342, 247, 355)(229, 337, 252, 360, 285, 393, 265, 373, 235, 343, 253, 361)(230, 338, 254, 362, 293, 401, 315, 423, 286, 394, 255, 363)(237, 345, 266, 374, 301, 409, 277, 385, 242, 350, 268, 376)(240, 348, 272, 380, 305, 413, 278, 386, 243, 351, 273, 381)(246, 354, 282, 390, 258, 366, 298, 406, 310, 418, 280, 388)(251, 359, 288, 396, 256, 364, 297, 405, 314, 422, 289, 397)(259, 367, 281, 389, 312, 420, 299, 407, 261, 369, 283, 391)(260, 368, 290, 398, 316, 424, 300, 408, 262, 370, 291, 399)(267, 375, 303, 411, 276, 384, 309, 417, 321, 429, 302, 410)(271, 379, 306, 414, 274, 382, 308, 416, 322, 430, 307, 415)(292, 400, 319, 427, 324, 432, 318, 426, 295, 403, 317, 425)(294, 402, 320, 428, 323, 431, 311, 419, 296, 404, 313, 421)
	L = (1, 220)(2, 224)(3, 228)(4, 217)(5, 230)(6, 231)(7, 239)(8, 218)(9, 241)(10, 246)(11, 249)(12, 219)(13, 251)(14, 221)(15, 222)(16, 255)(17, 254)(18, 258)(19, 256)(20, 257)(21, 267)(22, 270)(23, 223)(24, 271)(25, 225)(26, 276)(27, 274)(28, 275)(29, 280)(30, 226)(31, 282)(32, 284)(33, 227)(34, 286)(35, 229)(36, 289)(37, 288)(38, 233)(39, 232)(40, 235)(41, 236)(42, 234)(43, 296)(44, 295)(45, 294)(46, 292)(47, 293)(48, 298)(49, 297)(50, 302)(51, 237)(52, 303)(53, 304)(54, 238)(55, 240)(56, 307)(57, 306)(58, 243)(59, 244)(60, 242)(61, 309)(62, 308)(63, 310)(64, 245)(65, 311)(66, 247)(67, 313)(68, 248)(69, 314)(70, 250)(71, 315)(72, 253)(73, 252)(74, 318)(75, 317)(76, 262)(77, 263)(78, 261)(79, 260)(80, 259)(81, 265)(82, 264)(83, 320)(84, 319)(85, 321)(86, 266)(87, 268)(88, 269)(89, 322)(90, 273)(91, 272)(92, 278)(93, 277)(94, 279)(95, 281)(96, 323)(97, 283)(98, 285)(99, 287)(100, 324)(101, 291)(102, 290)(103, 300)(104, 299)(105, 301)(106, 305)(107, 312)(108, 316)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4^6 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2274
Graph:: simple bipartite
	v = 54 e = 216 f = 108
	degree seq :: [ 6^36, 12^18 ]

E28.2300 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C3 x S3 x S3 (small group id <108, 38>)
Aut   = S3 x S3 x S3 (small group id <216, 162>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y1^-1 * Y3^-1)^2, (Y3 * Y1)^2, (Y1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * Y3)^2, Y3 * Y1^-1 * Y3^-3 * Y1^-1, Y1^-1 * Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y2^-1, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-3, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y3^-2)^2, Y2^2 * Y1 * Y2^-2 * Y1^-1, (Y2 * Y3 * Y1^-1)^2, Y2 * Y1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1, (Y3 * Y2 * Y1^-1)^2, Y2^6, Y1 * Y2 * Y1 * Y3^-2 * Y1 * Y2, (Y2 * R * Y2^-1 * Y1^-1)^2, Y2 * Y3^-3 * Y2^-1 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110, 5, 113)(3, 111, 12, 120, 15, 123)(4, 112, 17, 125, 20, 128)(6, 114, 24, 132, 26, 134)(7, 115, 29, 137, 9, 117)(8, 116, 32, 140, 35, 143)(10, 118, 39, 147, 41, 149)(11, 119, 44, 152, 22, 130)(13, 121, 33, 141, 51, 159)(14, 122, 53, 161, 45, 153)(16, 124, 59, 167, 37, 145)(18, 126, 64, 172, 43, 151)(19, 127, 38, 146, 67, 175)(21, 129, 65, 173, 71, 179)(23, 131, 61, 169, 73, 181)(25, 133, 62, 170, 34, 142)(27, 135, 42, 150, 74, 182)(28, 136, 72, 180, 36, 144)(30, 138, 70, 178, 40, 148)(31, 139, 46, 154, 63, 171)(47, 155, 78, 186, 93, 201)(48, 156, 91, 199, 57, 165)(49, 157, 88, 196, 95, 203)(50, 158, 96, 204, 94, 202)(52, 160, 100, 208, 80, 188)(54, 162, 101, 209, 87, 195)(55, 163, 79, 187, 102, 210)(56, 164, 84, 192, 104, 212)(58, 166, 86, 194, 105, 213)(60, 168, 103, 211, 92, 200)(66, 174, 83, 191, 98, 206)(68, 176, 85, 193, 76, 184)(69, 177, 90, 198, 77, 185)(75, 183, 89, 197, 97, 205)(81, 189, 107, 215, 99, 207)(82, 190, 108, 216, 106, 214)(217, 325, 219, 327, 229, 337, 265, 373, 243, 351, 222, 330)(218, 326, 224, 332, 249, 357, 295, 403, 258, 366, 226, 334)(220, 328, 234, 342, 266, 374, 244, 352, 276, 384, 232, 340)(221, 329, 237, 345, 267, 375, 314, 422, 290, 398, 239, 347)(223, 331, 241, 349, 268, 376, 230, 338, 270, 378, 246, 354)(225, 333, 253, 361, 296, 404, 259, 367, 303, 411, 252, 360)(227, 335, 256, 364, 297, 405, 250, 358, 298, 406, 261, 369)(228, 336, 254, 362, 304, 412, 291, 399, 240, 348, 263, 371)(231, 339, 272, 380, 311, 419, 279, 387, 242, 350, 274, 382)(233, 341, 269, 377, 312, 420, 286, 394, 319, 427, 278, 386)(235, 343, 282, 390, 313, 421, 277, 385, 309, 417, 281, 389)(236, 344, 284, 392, 310, 418, 264, 372, 308, 416, 285, 393)(238, 346, 288, 396, 315, 423, 275, 383, 322, 430, 280, 388)(245, 353, 293, 401, 316, 424, 292, 400, 317, 425, 273, 381)(247, 355, 257, 365, 302, 410, 251, 359, 300, 408, 271, 379)(248, 356, 283, 391, 318, 426, 305, 413, 255, 363, 294, 402)(260, 368, 307, 415, 323, 431, 306, 414, 324, 432, 301, 409)(262, 370, 289, 397, 321, 429, 287, 395, 320, 428, 299, 407)
	L = (1, 220)(2, 225)(3, 230)(4, 235)(5, 238)(6, 241)(7, 217)(8, 250)(9, 254)(10, 256)(11, 218)(12, 253)(13, 266)(14, 271)(15, 273)(16, 219)(17, 221)(18, 265)(19, 260)(20, 262)(21, 286)(22, 283)(23, 269)(24, 252)(25, 251)(26, 292)(27, 276)(28, 222)(29, 279)(30, 257)(31, 223)(32, 288)(33, 296)(34, 299)(35, 301)(36, 224)(37, 295)(38, 236)(39, 280)(40, 287)(41, 306)(42, 303)(43, 226)(44, 247)(45, 289)(46, 227)(47, 308)(48, 228)(49, 246)(50, 313)(51, 315)(52, 229)(53, 231)(54, 243)(55, 307)(56, 319)(57, 318)(58, 312)(59, 239)(60, 309)(61, 232)(62, 242)(63, 233)(64, 237)(65, 234)(66, 244)(67, 245)(68, 240)(69, 304)(70, 311)(71, 285)(72, 314)(73, 264)(74, 322)(75, 310)(76, 248)(77, 255)(78, 317)(79, 261)(80, 291)(81, 249)(82, 258)(83, 284)(84, 270)(85, 282)(86, 268)(87, 263)(88, 259)(89, 316)(90, 281)(91, 277)(92, 320)(93, 324)(94, 321)(95, 293)(96, 267)(97, 323)(98, 278)(99, 305)(100, 274)(101, 272)(102, 275)(103, 290)(104, 298)(105, 297)(106, 294)(107, 302)(108, 300)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4^6 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2273
Graph:: simple bipartite
	v = 54 e = 216 f = 108
	degree seq :: [ 6^36, 12^18 ]

E28.2301 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C3 x S3 x S3 (small group id <108, 38>)
Aut   = S3 x S3 x S3 (small group id <216, 162>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^-1, Y1^3, (Y2 * Y3^-1)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, Y1^-1 * R * Y2^-1 * R * Y2, Y2 * Y3 * Y1^2 * Y2 * Y3^-1, Y2^6, Y2^2 * Y1 * Y2^-2 * Y1^-1, Y2 * Y3^-1 * Y2^2 * Y3^-1 * Y2 * Y1^-1, Y2 * Y1^-1 * Y2 * Y3 * Y2^2 * Y3^-1 * Y1^-1, Y2 * Y3 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1, Y3^-1 * Y2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110, 5, 113)(3, 111, 11, 119, 14, 122)(4, 112, 9, 117, 7, 115)(6, 114, 19, 127, 21, 129)(8, 116, 25, 133, 28, 136)(10, 118, 31, 139, 32, 140)(12, 120, 26, 134, 40, 148)(13, 121, 36, 144, 15, 123)(16, 124, 46, 154, 34, 142)(17, 125, 48, 156, 50, 158)(18, 126, 51, 159, 52, 160)(20, 128, 55, 163, 23, 131)(22, 130, 33, 141, 53, 161)(24, 132, 49, 157, 62, 170)(27, 135, 65, 173, 29, 137)(30, 138, 73, 181, 54, 162)(35, 143, 64, 172, 81, 189)(37, 145, 66, 174, 83, 191)(38, 146, 79, 187, 86, 194)(39, 147, 68, 176, 41, 149)(42, 150, 69, 177, 84, 192)(43, 151, 70, 178, 90, 198)(44, 152, 71, 179, 91, 199)(45, 153, 72, 180, 63, 171)(47, 155, 74, 182, 57, 165)(56, 164, 75, 183, 94, 202)(58, 166, 76, 184, 95, 203)(59, 167, 77, 185, 60, 168)(61, 169, 78, 186, 96, 204)(67, 175, 102, 210, 103, 211)(80, 188, 101, 209, 82, 190)(85, 193, 105, 213, 87, 195)(88, 196, 107, 215, 108, 216)(89, 197, 106, 214, 92, 200)(93, 201, 99, 207, 97, 205)(98, 206, 104, 212, 100, 208)(217, 325, 219, 327, 228, 336, 254, 362, 238, 346, 222, 330)(218, 326, 224, 332, 242, 350, 283, 391, 249, 357, 226, 334)(220, 328, 232, 340, 263, 371, 308, 416, 261, 369, 231, 339)(221, 329, 233, 341, 256, 364, 304, 412, 269, 377, 234, 342)(223, 331, 236, 344, 273, 381, 314, 422, 279, 387, 240, 348)(225, 333, 246, 354, 290, 398, 321, 429, 288, 396, 245, 353)(227, 335, 251, 359, 295, 403, 272, 380, 235, 343, 253, 361)(229, 337, 258, 366, 262, 370, 309, 417, 305, 413, 257, 365)(230, 338, 259, 367, 302, 410, 274, 382, 237, 345, 260, 368)(239, 347, 275, 383, 316, 424, 317, 425, 278, 386, 277, 385)(241, 349, 280, 388, 318, 426, 291, 399, 247, 355, 282, 390)(243, 351, 285, 393, 289, 397, 315, 423, 303, 411, 255, 363)(244, 352, 286, 394, 319, 427, 292, 400, 248, 356, 287, 395)(250, 358, 293, 401, 322, 430, 298, 406, 252, 360, 294, 402)(264, 372, 297, 405, 323, 431, 310, 418, 267, 375, 299, 407)(265, 373, 300, 408, 271, 379, 313, 421, 320, 428, 284, 392)(266, 374, 306, 414, 324, 432, 311, 419, 268, 376, 307, 415)(270, 378, 276, 384, 301, 409, 296, 404, 281, 389, 312, 420)
	L = (1, 220)(2, 225)(3, 229)(4, 218)(5, 223)(6, 236)(7, 217)(8, 243)(9, 221)(10, 232)(11, 252)(12, 255)(13, 227)(14, 231)(15, 219)(16, 247)(17, 265)(18, 246)(19, 271)(20, 235)(21, 239)(22, 275)(23, 222)(24, 233)(25, 281)(26, 284)(27, 241)(28, 245)(29, 224)(30, 267)(31, 262)(32, 250)(33, 293)(34, 226)(35, 296)(36, 230)(37, 258)(38, 301)(39, 242)(40, 257)(41, 228)(42, 282)(43, 288)(44, 294)(45, 259)(46, 248)(47, 310)(48, 278)(49, 264)(50, 240)(51, 289)(52, 270)(53, 276)(54, 234)(55, 237)(56, 273)(57, 291)(58, 313)(59, 249)(60, 238)(61, 260)(62, 266)(63, 306)(64, 317)(65, 244)(66, 285)(67, 316)(68, 256)(69, 299)(70, 279)(71, 312)(72, 286)(73, 268)(74, 272)(75, 263)(76, 309)(77, 269)(78, 287)(79, 321)(80, 280)(81, 298)(82, 251)(83, 300)(84, 253)(85, 295)(86, 303)(87, 254)(88, 322)(89, 304)(90, 261)(91, 277)(92, 324)(93, 311)(94, 290)(95, 315)(96, 307)(97, 292)(98, 319)(99, 274)(100, 318)(101, 297)(102, 314)(103, 320)(104, 283)(105, 302)(106, 323)(107, 308)(108, 305)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4^6 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2272
Graph:: simple bipartite
	v = 54 e = 216 f = 108
	degree seq :: [ 6^36, 12^18 ]

E28.2302 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C6 x ((C3 x C3) : C2) (small group id <108, 43>)
Aut   = C2 x (((C3 x C3) : C2) x S3) (small group id <216, 171>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3, Y2), (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3^6, Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110)(3, 111, 11, 119)(4, 112, 10, 118)(5, 113, 16, 124)(6, 114, 8, 116)(7, 115, 19, 127)(9, 117, 24, 132)(12, 120, 30, 138)(13, 121, 28, 136)(14, 122, 26, 134)(15, 123, 35, 143)(17, 125, 37, 145)(18, 126, 22, 130)(20, 128, 43, 151)(21, 129, 41, 149)(23, 131, 48, 156)(25, 133, 50, 158)(27, 135, 40, 148)(29, 137, 49, 157)(31, 139, 58, 166)(32, 140, 55, 163)(33, 141, 46, 154)(34, 142, 61, 169)(36, 144, 42, 150)(38, 146, 51, 159)(39, 147, 65, 173)(44, 152, 72, 180)(45, 153, 69, 177)(47, 155, 75, 183)(52, 160, 79, 187)(53, 161, 68, 176)(54, 162, 67, 175)(56, 164, 76, 184)(57, 165, 78, 186)(59, 167, 83, 191)(60, 168, 86, 194)(62, 170, 70, 178)(63, 171, 80, 188)(64, 172, 71, 179)(66, 174, 77, 185)(73, 181, 93, 201)(74, 182, 96, 204)(81, 189, 92, 200)(82, 190, 91, 199)(84, 192, 97, 205)(85, 193, 99, 207)(87, 195, 94, 202)(88, 196, 100, 208)(89, 197, 95, 203)(90, 198, 98, 206)(101, 209, 105, 213)(102, 210, 107, 215)(103, 211, 106, 214)(104, 212, 108, 216)(217, 325, 219, 327, 221, 329)(218, 326, 223, 331, 225, 333)(220, 328, 228, 336, 231, 339)(222, 330, 229, 337, 233, 341)(224, 332, 236, 344, 239, 347)(226, 334, 237, 345, 241, 349)(227, 335, 243, 351, 245, 353)(230, 338, 247, 355, 250, 358)(232, 340, 252, 360, 254, 362)(234, 342, 248, 356, 255, 363)(235, 343, 256, 364, 258, 366)(238, 346, 260, 368, 263, 371)(240, 348, 265, 373, 267, 375)(242, 350, 261, 369, 268, 376)(244, 352, 269, 377, 272, 380)(246, 354, 270, 378, 273, 381)(249, 357, 275, 383, 276, 384)(251, 359, 278, 386, 279, 387)(253, 361, 280, 388, 282, 390)(257, 365, 283, 391, 286, 394)(259, 367, 284, 392, 287, 395)(262, 370, 289, 397, 290, 398)(264, 372, 292, 400, 293, 401)(266, 374, 294, 402, 296, 404)(271, 379, 297, 405, 300, 408)(274, 382, 298, 406, 301, 409)(277, 385, 303, 411, 304, 412)(281, 389, 305, 413, 306, 414)(285, 393, 307, 415, 310, 418)(288, 396, 308, 416, 311, 419)(291, 399, 313, 421, 314, 422)(295, 403, 315, 423, 316, 424)(299, 407, 317, 425, 318, 426)(302, 410, 319, 427, 320, 428)(309, 417, 321, 429, 322, 430)(312, 420, 323, 431, 324, 432)
	L = (1, 220)(2, 224)(3, 228)(4, 230)(5, 231)(6, 217)(7, 236)(8, 238)(9, 239)(10, 218)(11, 244)(12, 247)(13, 219)(14, 249)(15, 250)(16, 253)(17, 221)(18, 222)(19, 257)(20, 260)(21, 223)(22, 262)(23, 263)(24, 266)(25, 225)(26, 226)(27, 269)(28, 271)(29, 272)(30, 227)(31, 275)(32, 229)(33, 234)(34, 276)(35, 232)(36, 280)(37, 281)(38, 282)(39, 233)(40, 283)(41, 285)(42, 286)(43, 235)(44, 289)(45, 237)(46, 242)(47, 290)(48, 240)(49, 294)(50, 295)(51, 296)(52, 241)(53, 297)(54, 243)(55, 299)(56, 300)(57, 245)(58, 246)(59, 248)(60, 255)(61, 251)(62, 252)(63, 254)(64, 305)(65, 302)(66, 306)(67, 307)(68, 256)(69, 309)(70, 310)(71, 258)(72, 259)(73, 261)(74, 268)(75, 264)(76, 265)(77, 267)(78, 315)(79, 312)(80, 316)(81, 317)(82, 270)(83, 274)(84, 318)(85, 273)(86, 277)(87, 278)(88, 279)(89, 319)(90, 320)(91, 321)(92, 284)(93, 288)(94, 322)(95, 287)(96, 291)(97, 292)(98, 293)(99, 323)(100, 324)(101, 298)(102, 301)(103, 303)(104, 304)(105, 308)(106, 311)(107, 313)(108, 314)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2305
Graph:: simple bipartite
	v = 90 e = 216 f = 72
	degree seq :: [ 4^54, 6^36 ]

E28.2303 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
Aut   = C2 x (((C3 x C3) : C2) x S3) (small group id <216, 171>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * Y3^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3 * Y1 * Y2 * Y1, Y3^-1 * Y2 * Y3^2 * Y2^-1 * Y3^-1, Y3^6, Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y1 * Y2^-1 * Y1, (Y2 * Y3 * Y2^-1 * Y1)^2, (Y3 * Y2^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110)(3, 111, 11, 119)(4, 112, 10, 118)(5, 113, 17, 125)(6, 114, 8, 116)(7, 115, 23, 131)(9, 117, 29, 137)(12, 120, 33, 141)(13, 121, 28, 136)(14, 122, 31, 139)(15, 123, 34, 142)(16, 124, 25, 133)(18, 126, 32, 140)(19, 127, 26, 134)(20, 128, 30, 138)(21, 129, 24, 132)(22, 130, 27, 135)(35, 143, 56, 164)(36, 144, 68, 176)(37, 145, 73, 181)(38, 146, 76, 184)(39, 147, 62, 170)(40, 148, 71, 179)(41, 149, 60, 168)(42, 150, 67, 175)(43, 151, 74, 182)(44, 152, 65, 173)(45, 153, 75, 183)(46, 154, 63, 171)(47, 155, 57, 165)(48, 156, 69, 177)(49, 157, 72, 180)(50, 158, 61, 169)(51, 159, 70, 178)(52, 160, 58, 166)(53, 161, 64, 172)(54, 162, 66, 174)(55, 163, 59, 167)(77, 185, 100, 208)(78, 186, 96, 204)(79, 187, 93, 201)(80, 188, 98, 206)(81, 189, 91, 199)(82, 190, 97, 205)(83, 191, 99, 207)(84, 192, 90, 198)(85, 193, 94, 202)(86, 194, 92, 200)(87, 195, 95, 203)(88, 196, 89, 197)(101, 209, 108, 216)(102, 210, 106, 214)(103, 211, 107, 215)(104, 212, 105, 213)(217, 325, 219, 327, 221, 329)(218, 326, 223, 331, 225, 333)(220, 328, 230, 338, 232, 340)(222, 330, 236, 344, 237, 345)(224, 332, 242, 350, 244, 352)(226, 334, 248, 356, 249, 357)(227, 335, 251, 359, 252, 360)(228, 336, 253, 361, 255, 363)(229, 337, 256, 364, 257, 365)(231, 339, 254, 362, 261, 369)(233, 341, 263, 371, 264, 372)(234, 342, 265, 373, 266, 374)(235, 343, 267, 375, 268, 376)(238, 346, 258, 366, 269, 377)(239, 347, 272, 380, 273, 381)(240, 348, 274, 382, 276, 384)(241, 349, 277, 385, 278, 386)(243, 351, 275, 383, 282, 390)(245, 353, 284, 392, 285, 393)(246, 354, 286, 394, 287, 395)(247, 355, 288, 396, 289, 397)(250, 358, 279, 387, 290, 398)(259, 367, 293, 401, 299, 407)(260, 368, 298, 406, 300, 408)(262, 370, 295, 403, 302, 410)(270, 378, 296, 404, 303, 411)(271, 379, 297, 405, 304, 412)(280, 388, 305, 413, 311, 419)(281, 389, 310, 418, 312, 420)(283, 391, 307, 415, 314, 422)(291, 399, 308, 416, 315, 423)(292, 400, 309, 417, 316, 424)(294, 402, 317, 425, 318, 426)(301, 409, 319, 427, 320, 428)(306, 414, 321, 429, 322, 430)(313, 421, 323, 431, 324, 432)
	L = (1, 220)(2, 224)(3, 228)(4, 231)(5, 234)(6, 217)(7, 240)(8, 243)(9, 246)(10, 218)(11, 244)(12, 254)(13, 219)(14, 259)(15, 260)(16, 262)(17, 242)(18, 261)(19, 221)(20, 245)(21, 239)(22, 222)(23, 232)(24, 275)(25, 223)(26, 280)(27, 281)(28, 283)(29, 230)(30, 282)(31, 225)(32, 233)(33, 227)(34, 226)(35, 276)(36, 287)(37, 293)(38, 294)(39, 295)(40, 284)(41, 272)(42, 229)(43, 298)(44, 238)(45, 301)(46, 300)(47, 274)(48, 286)(49, 299)(50, 302)(51, 285)(52, 273)(53, 235)(54, 236)(55, 237)(56, 255)(57, 266)(58, 305)(59, 306)(60, 307)(61, 263)(62, 251)(63, 241)(64, 310)(65, 250)(66, 313)(67, 312)(68, 253)(69, 265)(70, 311)(71, 314)(72, 264)(73, 252)(74, 247)(75, 248)(76, 249)(77, 317)(78, 258)(79, 318)(80, 256)(81, 257)(82, 270)(83, 319)(84, 271)(85, 269)(86, 320)(87, 267)(88, 268)(89, 321)(90, 279)(91, 322)(92, 277)(93, 278)(94, 291)(95, 323)(96, 292)(97, 290)(98, 324)(99, 288)(100, 289)(101, 296)(102, 297)(103, 303)(104, 304)(105, 308)(106, 309)(107, 315)(108, 316)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2307
Graph:: simple bipartite
	v = 90 e = 216 f = 72
	degree seq :: [ 4^54, 6^36 ]

E28.2304 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
Aut   = C2 x (((C3 x C3) : C2) x S3) (small group id <216, 171>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1)^2, Y3^-1 * Y2^-1 * Y3^2 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y3^6, Y2^-1 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3^-1, (Y3 * Y2^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110)(3, 111, 9, 117)(4, 112, 10, 118)(5, 113, 7, 115)(6, 114, 8, 116)(11, 119, 27, 135)(12, 120, 26, 134)(13, 121, 29, 137)(14, 122, 30, 138)(15, 123, 28, 136)(16, 124, 22, 130)(17, 125, 21, 129)(18, 126, 25, 133)(19, 127, 23, 131)(20, 128, 24, 132)(31, 139, 65, 173)(32, 140, 66, 174)(33, 141, 64, 172)(34, 142, 63, 171)(35, 143, 62, 170)(36, 144, 59, 167)(37, 145, 68, 176)(38, 146, 61, 169)(39, 147, 58, 166)(40, 148, 55, 163)(41, 149, 67, 175)(42, 150, 57, 165)(43, 151, 54, 162)(44, 152, 53, 161)(45, 153, 52, 160)(46, 154, 50, 158)(47, 155, 51, 159)(48, 156, 60, 168)(49, 157, 56, 164)(69, 177, 100, 208)(70, 178, 98, 206)(71, 179, 96, 204)(72, 180, 99, 207)(73, 181, 94, 202)(74, 182, 97, 205)(75, 183, 93, 201)(76, 184, 95, 203)(77, 185, 91, 199)(78, 186, 89, 197)(79, 187, 92, 200)(80, 188, 87, 195)(81, 189, 90, 198)(82, 190, 86, 194)(83, 191, 88, 196)(84, 192, 85, 193)(101, 209, 108, 216)(102, 210, 107, 215)(103, 211, 106, 214)(104, 212, 105, 213)(217, 325, 219, 327, 221, 329)(218, 326, 223, 331, 225, 333)(220, 328, 229, 337, 231, 339)(222, 330, 234, 342, 235, 343)(224, 332, 239, 347, 241, 349)(226, 334, 244, 352, 245, 353)(227, 335, 247, 355, 249, 357)(228, 336, 250, 358, 251, 359)(230, 338, 248, 356, 256, 364)(232, 340, 259, 367, 260, 368)(233, 341, 261, 369, 262, 370)(236, 344, 252, 360, 263, 371)(237, 345, 266, 374, 268, 376)(238, 346, 269, 377, 270, 378)(240, 348, 267, 375, 275, 383)(242, 350, 278, 386, 279, 387)(243, 351, 280, 388, 281, 389)(246, 354, 271, 379, 282, 390)(253, 361, 285, 393, 293, 401)(254, 362, 286, 394, 294, 402)(255, 363, 292, 400, 295, 403)(257, 365, 288, 396, 297, 405)(258, 366, 289, 397, 298, 406)(264, 372, 290, 398, 299, 407)(265, 373, 291, 399, 300, 408)(272, 380, 301, 409, 309, 417)(273, 381, 302, 410, 310, 418)(274, 382, 308, 416, 311, 419)(276, 384, 304, 412, 313, 421)(277, 385, 305, 413, 314, 422)(283, 391, 306, 414, 315, 423)(284, 392, 307, 415, 316, 424)(287, 395, 317, 425, 318, 426)(296, 404, 319, 427, 320, 428)(303, 411, 321, 429, 322, 430)(312, 420, 323, 431, 324, 432)
	L = (1, 220)(2, 224)(3, 227)(4, 230)(5, 232)(6, 217)(7, 237)(8, 240)(9, 242)(10, 218)(11, 248)(12, 219)(13, 253)(14, 255)(15, 257)(16, 256)(17, 221)(18, 254)(19, 258)(20, 222)(21, 267)(22, 223)(23, 272)(24, 274)(25, 276)(26, 275)(27, 225)(28, 273)(29, 277)(30, 226)(31, 285)(32, 287)(33, 288)(34, 286)(35, 289)(36, 228)(37, 292)(38, 229)(39, 236)(40, 296)(41, 295)(42, 231)(43, 293)(44, 297)(45, 294)(46, 298)(47, 233)(48, 234)(49, 235)(50, 301)(51, 303)(52, 304)(53, 302)(54, 305)(55, 238)(56, 308)(57, 239)(58, 246)(59, 312)(60, 311)(61, 241)(62, 309)(63, 313)(64, 310)(65, 314)(66, 243)(67, 244)(68, 245)(69, 317)(70, 247)(71, 252)(72, 318)(73, 249)(74, 250)(75, 251)(76, 264)(77, 319)(78, 259)(79, 265)(80, 263)(81, 320)(82, 260)(83, 261)(84, 262)(85, 321)(86, 266)(87, 271)(88, 322)(89, 268)(90, 269)(91, 270)(92, 283)(93, 323)(94, 278)(95, 284)(96, 282)(97, 324)(98, 279)(99, 280)(100, 281)(101, 290)(102, 291)(103, 299)(104, 300)(105, 306)(106, 307)(107, 315)(108, 316)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2306
Graph:: simple bipartite
	v = 90 e = 216 f = 72
	degree seq :: [ 4^54, 6^36 ]

E28.2305 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = C6 x ((C3 x C3) : C2) (small group id <108, 43>)
Aut   = C2 x (((C3 x C3) : C2) x S3) (small group id <216, 171>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, Y3^3 * Y1^3, Y3^-3 * Y1^3, (R * Y2 * Y3^-1)^2, Y1^6, (Y2 * Y1^-3)^2, (R * Y2 * Y1^-1 * Y2)^2, Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110, 7, 115, 21, 129, 18, 126, 5, 113)(3, 111, 11, 119, 31, 139, 46, 154, 38, 146, 13, 121)(4, 112, 9, 117, 23, 131, 20, 128, 30, 138, 16, 124)(6, 114, 10, 118, 24, 132, 15, 123, 29, 137, 19, 127)(8, 116, 25, 133, 51, 159, 45, 153, 58, 166, 27, 135)(12, 120, 33, 141, 62, 170, 40, 148, 68, 176, 36, 144)(14, 122, 34, 142, 63, 171, 35, 143, 67, 175, 39, 147)(17, 125, 42, 150, 49, 157, 22, 130, 47, 155, 44, 152)(26, 134, 53, 161, 84, 192, 60, 168, 89, 197, 56, 164)(28, 136, 54, 162, 85, 193, 55, 163, 88, 196, 59, 167)(32, 140, 52, 160, 77, 185, 72, 180, 92, 200, 65, 173)(37, 145, 57, 165, 81, 189, 61, 169, 83, 191, 71, 179)(41, 149, 73, 181, 82, 190, 50, 158, 79, 187, 74, 182)(43, 151, 75, 183, 80, 188, 48, 156, 78, 186, 76, 184)(64, 172, 86, 194, 101, 209, 98, 206, 108, 216, 96, 204)(66, 174, 87, 195, 102, 210, 95, 203, 107, 215, 97, 205)(69, 177, 90, 198, 103, 211, 94, 202, 106, 214, 99, 207)(70, 178, 91, 199, 104, 212, 93, 201, 105, 213, 100, 208)(217, 325, 219, 327)(218, 326, 224, 332)(220, 328, 230, 338)(221, 329, 233, 341)(222, 330, 228, 336)(223, 331, 238, 346)(225, 333, 244, 352)(226, 334, 242, 350)(227, 335, 248, 356)(229, 337, 253, 361)(231, 339, 256, 364)(232, 340, 257, 365)(234, 342, 261, 369)(235, 343, 259, 367)(236, 344, 251, 359)(237, 345, 262, 370)(239, 347, 266, 374)(240, 348, 264, 372)(241, 349, 268, 376)(243, 351, 273, 381)(245, 353, 276, 384)(246, 354, 271, 379)(247, 355, 277, 385)(249, 357, 282, 390)(250, 358, 280, 388)(252, 360, 285, 393)(254, 362, 288, 396)(255, 363, 286, 394)(258, 366, 281, 389)(260, 368, 287, 395)(263, 371, 293, 401)(265, 373, 297, 405)(267, 375, 299, 407)(269, 377, 303, 411)(270, 378, 302, 410)(272, 380, 306, 414)(274, 382, 308, 416)(275, 383, 307, 415)(278, 386, 310, 418)(279, 387, 309, 417)(283, 391, 314, 422)(284, 392, 311, 419)(289, 397, 312, 420)(290, 398, 316, 424)(291, 399, 313, 421)(292, 400, 315, 423)(294, 402, 318, 426)(295, 403, 317, 425)(296, 404, 319, 427)(298, 406, 320, 428)(300, 408, 322, 430)(301, 409, 321, 429)(304, 412, 324, 432)(305, 413, 323, 431)
	L = (1, 220)(2, 225)(3, 228)(4, 231)(5, 232)(6, 217)(7, 239)(8, 242)(9, 245)(10, 218)(11, 249)(12, 251)(13, 252)(14, 219)(15, 237)(16, 240)(17, 259)(18, 246)(19, 221)(20, 222)(21, 236)(22, 264)(23, 235)(24, 223)(25, 269)(26, 271)(27, 272)(28, 224)(29, 234)(30, 226)(31, 278)(32, 280)(33, 283)(34, 227)(35, 262)(36, 279)(37, 286)(38, 284)(39, 229)(40, 230)(41, 233)(42, 291)(43, 266)(44, 292)(45, 276)(46, 256)(47, 294)(48, 257)(49, 296)(50, 238)(51, 300)(52, 302)(53, 304)(54, 241)(55, 261)(56, 301)(57, 307)(58, 305)(59, 243)(60, 244)(61, 309)(62, 255)(63, 247)(64, 311)(65, 312)(66, 248)(67, 254)(68, 250)(69, 253)(70, 310)(71, 316)(72, 314)(73, 258)(74, 260)(75, 295)(76, 298)(77, 317)(78, 289)(79, 263)(80, 290)(81, 320)(82, 265)(83, 321)(84, 275)(85, 267)(86, 323)(87, 268)(88, 274)(89, 270)(90, 273)(91, 322)(92, 324)(93, 285)(94, 277)(95, 288)(96, 318)(97, 281)(98, 282)(99, 287)(100, 319)(101, 313)(102, 293)(103, 297)(104, 315)(105, 306)(106, 299)(107, 308)(108, 303)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2302
Graph:: simple bipartite
	v = 72 e = 216 f = 90
	degree seq :: [ 4^54, 12^18 ]

E28.2306 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
Aut   = C2 x (((C3 x C3) : C2) x S3) (small group id <216, 171>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, (Y2 * Y1^-1)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^2 * Y3^-1 * Y1^-2, Y3^6, Y3^2 * Y1 * Y3^-2 * Y1^-1, (Y3 * Y1^-1)^3, Y1^6, (Y3^-1 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110, 7, 115, 23, 131, 18, 126, 5, 113)(3, 111, 11, 119, 35, 143, 53, 161, 24, 132, 8, 116)(4, 112, 14, 122, 25, 133, 58, 166, 48, 156, 16, 124)(6, 114, 20, 128, 26, 134, 60, 168, 51, 159, 21, 129)(9, 117, 29, 137, 54, 162, 50, 158, 17, 125, 31, 139)(10, 118, 32, 140, 55, 163, 44, 152, 19, 127, 33, 141)(12, 120, 38, 146, 71, 179, 90, 198, 56, 164, 40, 148)(13, 121, 41, 149, 72, 180, 91, 199, 57, 165, 42, 150)(15, 123, 30, 138, 59, 167, 87, 195, 83, 191, 47, 155)(22, 130, 34, 142, 61, 169, 88, 196, 84, 192, 52, 160)(27, 135, 62, 170, 36, 144, 73, 181, 85, 193, 64, 172)(28, 136, 65, 173, 37, 145, 75, 183, 86, 194, 66, 174)(39, 147, 74, 182, 99, 207, 104, 212, 89, 197, 63, 171)(43, 151, 76, 184, 100, 208, 105, 213, 92, 200, 67, 175)(45, 153, 81, 189, 93, 201, 69, 177, 49, 157, 82, 190)(46, 154, 80, 188, 94, 202, 70, 178, 98, 206, 68, 176)(77, 185, 96, 204, 107, 215, 102, 210, 79, 187, 103, 211)(78, 186, 97, 205, 108, 216, 95, 203, 106, 214, 101, 209)(217, 325, 219, 327)(218, 326, 224, 332)(220, 328, 229, 337)(221, 329, 227, 335)(222, 330, 228, 336)(223, 331, 240, 348)(225, 333, 244, 352)(226, 334, 243, 351)(230, 338, 258, 366)(231, 339, 259, 367)(232, 340, 257, 365)(233, 341, 253, 361)(234, 342, 251, 359)(235, 343, 252, 360)(236, 344, 256, 364)(237, 345, 254, 362)(238, 346, 255, 363)(239, 347, 269, 377)(241, 349, 273, 381)(242, 350, 272, 380)(245, 353, 282, 390)(246, 354, 283, 391)(247, 355, 281, 389)(248, 356, 280, 388)(249, 357, 278, 386)(250, 358, 279, 387)(260, 368, 289, 397)(261, 369, 295, 403)(262, 370, 294, 402)(263, 371, 292, 400)(264, 372, 288, 396)(265, 373, 293, 401)(266, 374, 291, 399)(267, 375, 287, 395)(268, 376, 290, 398)(270, 378, 302, 410)(271, 379, 301, 409)(274, 382, 307, 415)(275, 383, 308, 416)(276, 384, 306, 414)(277, 385, 305, 413)(284, 392, 313, 421)(285, 393, 312, 420)(286, 394, 311, 419)(296, 404, 317, 425)(297, 405, 318, 426)(298, 406, 319, 427)(299, 407, 316, 424)(300, 408, 315, 423)(303, 411, 321, 429)(304, 412, 320, 428)(309, 417, 323, 431)(310, 418, 322, 430)(314, 422, 324, 432)
	L = (1, 220)(2, 225)(3, 228)(4, 231)(5, 233)(6, 217)(7, 241)(8, 243)(9, 246)(10, 218)(11, 252)(12, 255)(13, 219)(14, 260)(15, 262)(16, 248)(17, 263)(18, 264)(19, 221)(20, 261)(21, 265)(22, 222)(23, 270)(24, 272)(25, 275)(26, 223)(27, 279)(28, 224)(29, 237)(30, 285)(31, 276)(32, 284)(33, 286)(34, 226)(35, 287)(36, 290)(37, 227)(38, 282)(39, 294)(40, 291)(41, 293)(42, 295)(43, 229)(44, 296)(45, 230)(46, 238)(47, 297)(48, 299)(49, 232)(50, 236)(51, 234)(52, 235)(53, 301)(54, 303)(55, 239)(56, 305)(57, 240)(58, 249)(59, 310)(60, 309)(61, 242)(62, 307)(63, 312)(64, 257)(65, 311)(66, 313)(67, 244)(68, 245)(69, 250)(70, 247)(71, 315)(72, 251)(73, 258)(74, 318)(75, 317)(76, 253)(77, 254)(78, 259)(79, 256)(80, 266)(81, 268)(82, 304)(83, 314)(84, 267)(85, 320)(86, 269)(87, 298)(88, 271)(89, 322)(90, 281)(91, 323)(92, 273)(93, 274)(94, 277)(95, 278)(96, 283)(97, 280)(98, 300)(99, 324)(100, 288)(101, 289)(102, 292)(103, 321)(104, 319)(105, 302)(106, 308)(107, 306)(108, 316)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2304
Graph:: simple bipartite
	v = 72 e = 216 f = 90
	degree seq :: [ 4^54, 12^18 ]

E28.2307 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C2) x S3 (small group id <108, 39>)
Aut   = C2 x (((C3 x C3) : C2) x S3) (small group id <216, 171>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y2 * Y1^-1)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y3 * Y1 * Y3^-2 * Y1^-1 * Y3, Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y2, (Y3^-1 * Y1)^3, (Y3^-1 * Y1^-1)^3, Y1^-1 * Y3^-1 * Y1^2 * Y3 * Y1^-1, Y3^6, Y1^6 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110, 7, 115, 25, 133, 20, 128, 5, 113)(3, 111, 11, 119, 39, 147, 62, 170, 26, 134, 13, 121)(4, 112, 15, 123, 27, 135, 64, 172, 53, 161, 17, 125)(6, 114, 22, 130, 28, 136, 66, 174, 56, 164, 23, 131)(8, 116, 29, 137, 18, 126, 54, 162, 58, 166, 31, 139)(9, 117, 33, 141, 59, 167, 55, 163, 19, 127, 35, 143)(10, 118, 36, 144, 60, 168, 50, 158, 21, 129, 37, 145)(12, 120, 43, 151, 77, 185, 91, 199, 61, 169, 30, 138)(14, 122, 48, 156, 78, 186, 92, 200, 63, 171, 32, 140)(16, 124, 34, 142, 65, 173, 93, 201, 89, 197, 52, 160)(24, 132, 38, 146, 67, 175, 94, 202, 90, 198, 57, 165)(40, 148, 79, 187, 45, 153, 85, 193, 96, 204, 76, 184)(41, 149, 75, 183, 97, 205, 86, 194, 46, 154, 80, 188)(42, 150, 71, 179, 98, 206, 82, 190, 47, 155, 81, 189)(44, 152, 74, 182, 103, 211, 70, 178, 95, 203, 84, 192)(49, 157, 73, 181, 102, 210, 69, 177, 99, 207, 87, 195)(51, 159, 88, 196, 100, 208, 68, 176, 101, 209, 72, 180)(83, 191, 106, 214, 108, 216, 105, 213, 107, 215, 104, 212)(217, 325, 219, 327)(218, 326, 224, 332)(220, 328, 230, 338)(221, 329, 234, 342)(222, 330, 228, 336)(223, 331, 242, 350)(225, 333, 248, 356)(226, 334, 246, 354)(227, 335, 256, 364)(229, 337, 261, 369)(231, 339, 263, 371)(232, 340, 265, 373)(233, 341, 258, 366)(235, 343, 264, 372)(236, 344, 255, 363)(237, 345, 259, 367)(238, 346, 262, 370)(239, 347, 257, 365)(240, 348, 260, 368)(241, 349, 274, 382)(243, 351, 279, 387)(244, 352, 277, 385)(245, 353, 284, 392)(247, 355, 288, 396)(249, 357, 290, 398)(250, 358, 291, 399)(251, 359, 286, 394)(252, 360, 289, 397)(253, 361, 285, 393)(254, 362, 287, 395)(266, 374, 303, 411)(267, 375, 299, 407)(268, 376, 302, 410)(269, 377, 294, 402)(270, 378, 304, 412)(271, 379, 300, 408)(272, 380, 293, 401)(273, 381, 298, 406)(275, 383, 308, 416)(276, 384, 307, 415)(278, 386, 312, 420)(280, 388, 314, 422)(281, 389, 315, 423)(282, 390, 313, 421)(283, 391, 311, 419)(292, 400, 320, 428)(295, 403, 321, 429)(296, 404, 309, 417)(297, 405, 310, 418)(301, 409, 322, 430)(305, 413, 318, 426)(306, 414, 319, 427)(316, 424, 323, 431)(317, 425, 324, 432)
	L = (1, 220)(2, 225)(3, 228)(4, 232)(5, 235)(6, 217)(7, 243)(8, 246)(9, 250)(10, 218)(11, 257)(12, 260)(13, 262)(14, 219)(15, 266)(16, 267)(17, 252)(18, 259)(19, 268)(20, 269)(21, 221)(22, 261)(23, 256)(24, 222)(25, 275)(26, 277)(27, 281)(28, 223)(29, 285)(30, 287)(31, 289)(32, 224)(33, 239)(34, 292)(35, 282)(36, 288)(37, 284)(38, 226)(39, 293)(40, 233)(41, 290)(42, 227)(43, 298)(44, 299)(45, 231)(46, 300)(47, 229)(48, 234)(49, 230)(50, 304)(51, 240)(52, 301)(53, 305)(54, 303)(55, 238)(56, 236)(57, 237)(58, 307)(59, 309)(60, 241)(61, 311)(62, 313)(63, 242)(64, 253)(65, 316)(66, 312)(67, 244)(68, 251)(69, 314)(70, 245)(71, 320)(72, 249)(73, 258)(74, 247)(75, 248)(76, 254)(77, 319)(78, 255)(79, 310)(80, 308)(81, 321)(82, 322)(83, 265)(84, 270)(85, 273)(86, 264)(87, 263)(88, 271)(89, 317)(90, 272)(91, 297)(92, 274)(93, 295)(94, 276)(95, 323)(96, 280)(97, 286)(98, 278)(99, 279)(100, 283)(101, 306)(102, 294)(103, 324)(104, 291)(105, 296)(106, 302)(107, 315)(108, 318)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2303
Graph:: simple bipartite
	v = 72 e = 216 f = 90
	degree seq :: [ 4^54, 12^18 ]

E28.2308 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 6})
Quotient :: halfedge^2
Aut^+ = (C3 x ((C3 x C3) : C2)) : C2 (small group id <108, 40>)
Aut   = (C3 x ((C3 x C3) : C4)) : C2 (small group id <216, 159>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y3 * Y2)^2, (R * Y1)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y1^6, (Y1^-1 * Y3 * Y1^-1)^2, (Y1^-1 * Y3 * Y1^-1 * Y2)^2, (Y1^-1 * Y3 * Y2)^3, Y1 * Y3 * Y2 * Y1^-3 * Y2 * Y3 * Y1^-1 * Y3 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 110, 2, 114, 6, 125, 17, 124, 16, 113, 5, 109)(3, 117, 9, 133, 25, 151, 43, 126, 18, 119, 11, 111)(4, 120, 12, 140, 32, 152, 44, 127, 19, 121, 13, 112)(7, 128, 20, 122, 14, 145, 37, 148, 40, 130, 22, 115)(8, 131, 23, 123, 15, 147, 39, 149, 41, 132, 24, 116)(10, 136, 28, 150, 42, 184, 76, 163, 55, 137, 29, 118)(21, 155, 47, 183, 75, 181, 73, 146, 38, 156, 48, 129)(26, 164, 56, 138, 30, 172, 64, 185, 77, 166, 58, 134)(27, 159, 51, 139, 31, 161, 53, 186, 78, 167, 59, 135)(33, 154, 46, 143, 35, 158, 50, 187, 79, 175, 67, 141)(34, 176, 68, 144, 36, 179, 71, 188, 80, 177, 69, 142)(45, 189, 81, 157, 49, 194, 86, 180, 72, 191, 83, 153)(52, 197, 89, 162, 54, 200, 92, 182, 74, 198, 90, 160)(57, 178, 70, 212, 104, 174, 66, 173, 65, 203, 95, 165)(60, 202, 94, 170, 62, 205, 97, 193, 85, 207, 99, 168)(61, 208, 100, 171, 63, 210, 102, 192, 84, 209, 101, 169)(82, 199, 91, 213, 105, 196, 88, 195, 87, 206, 98, 190)(93, 216, 108, 204, 96, 214, 106, 211, 103, 215, 107, 201)
	L = (1, 3)(2, 7)(4, 10)(5, 14)(6, 18)(8, 21)(9, 26)(11, 30)(12, 33)(13, 35)(15, 38)(16, 25)(17, 40)(19, 42)(20, 45)(22, 49)(23, 51)(24, 53)(27, 57)(28, 60)(29, 62)(31, 65)(32, 55)(34, 66)(36, 70)(37, 72)(39, 59)(41, 75)(43, 77)(44, 79)(46, 82)(47, 63)(48, 84)(50, 87)(52, 88)(54, 91)(56, 93)(58, 96)(61, 73)(64, 103)(67, 105)(68, 100)(69, 102)(71, 101)(74, 98)(76, 85)(78, 104)(80, 95)(81, 107)(83, 108)(86, 106)(89, 97)(90, 99)(92, 94)(109, 112)(110, 116)(111, 118)(113, 123)(114, 127)(115, 129)(117, 135)(119, 139)(120, 142)(121, 144)(122, 146)(124, 140)(125, 149)(126, 150)(128, 154)(130, 158)(131, 160)(132, 162)(133, 163)(134, 165)(136, 169)(137, 171)(138, 173)(141, 174)(143, 178)(145, 175)(147, 182)(148, 183)(151, 186)(152, 188)(153, 190)(155, 170)(156, 193)(157, 195)(159, 196)(161, 199)(164, 202)(166, 205)(167, 206)(168, 181)(172, 207)(176, 214)(177, 215)(179, 216)(180, 213)(184, 192)(185, 212)(187, 203)(189, 210)(191, 209)(194, 208)(197, 204)(198, 211)(200, 201)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2309
Transitivity :: VT+ AT
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 12^18 ]

E28.2309 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 6})
Quotient :: halfedge^2
Aut^+ = (C3 x ((C3 x C3) : C2)) : C2 (small group id <108, 40>)
Aut   = (C3 x ((C3 x C3) : C4)) : C2 (small group id <216, 159>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^3, (R * Y1)^2, (Y3 * Y2)^2, R * Y3 * R * Y2, Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3, Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1, (Y1 * Y2 * Y1 * Y3)^2, Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y1 * Y2 * Y3 * Y1^-1, Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 110, 2, 113, 5, 109)(3, 116, 8, 118, 10, 111)(4, 119, 11, 120, 12, 112)(6, 123, 15, 125, 17, 114)(7, 126, 18, 127, 19, 115)(9, 130, 22, 131, 23, 117)(13, 138, 30, 140, 32, 121)(14, 141, 33, 142, 34, 122)(16, 145, 37, 146, 38, 124)(20, 143, 35, 154, 46, 128)(21, 155, 47, 156, 48, 129)(24, 147, 39, 162, 54, 132)(25, 163, 55, 149, 41, 133)(26, 164, 56, 166, 58, 134)(27, 150, 42, 167, 59, 135)(28, 168, 60, 144, 36, 136)(29, 152, 44, 170, 62, 137)(31, 172, 64, 173, 65, 139)(40, 181, 73, 174, 66, 148)(43, 183, 75, 171, 63, 151)(45, 185, 77, 186, 78, 153)(49, 191, 83, 193, 85, 157)(50, 188, 80, 194, 86, 158)(51, 195, 87, 175, 67, 159)(52, 190, 82, 182, 74, 160)(53, 197, 89, 176, 68, 161)(57, 199, 91, 200, 92, 165)(61, 204, 96, 177, 69, 169)(70, 198, 90, 187, 79, 178)(71, 203, 95, 202, 94, 179)(72, 189, 81, 205, 97, 180)(76, 201, 93, 206, 98, 184)(84, 207, 99, 212, 104, 192)(88, 208, 100, 209, 101, 196)(102, 215, 107, 214, 106, 210)(103, 213, 105, 216, 108, 211)
	L = (1, 3)(2, 6)(4, 9)(5, 13)(7, 16)(8, 20)(10, 24)(11, 26)(12, 28)(14, 31)(15, 35)(17, 39)(18, 41)(19, 43)(21, 45)(22, 49)(23, 51)(25, 53)(27, 57)(29, 61)(30, 46)(32, 54)(33, 66)(34, 47)(36, 67)(37, 68)(38, 70)(40, 72)(42, 74)(44, 76)(48, 81)(50, 84)(52, 88)(55, 90)(56, 83)(58, 87)(59, 94)(60, 85)(62, 80)(63, 79)(64, 97)(65, 77)(69, 99)(71, 100)(73, 78)(75, 89)(82, 103)(86, 106)(91, 101)(92, 108)(93, 107)(95, 105)(96, 102)(98, 104)(109, 112)(110, 115)(111, 117)(113, 122)(114, 124)(116, 129)(118, 133)(119, 135)(120, 137)(121, 139)(123, 144)(125, 148)(126, 150)(127, 152)(128, 153)(130, 158)(131, 160)(132, 161)(134, 165)(136, 169)(138, 171)(140, 164)(141, 167)(142, 170)(143, 175)(145, 177)(146, 179)(147, 180)(149, 182)(151, 184)(154, 187)(155, 188)(156, 190)(157, 192)(159, 196)(162, 191)(163, 194)(166, 201)(168, 203)(172, 206)(173, 199)(174, 202)(176, 207)(178, 208)(181, 204)(183, 200)(185, 209)(186, 210)(189, 211)(193, 213)(195, 215)(197, 216)(198, 214)(205, 212)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2308
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 36 e = 108 f = 18
	degree seq :: [ 6^36 ]

E28.2310 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 6})
Quotient :: edge^2
Aut^+ = (C3 x ((C3 x C3) : C2)) : C2 (small group id <108, 40>)
Aut   = (C3 x ((C3 x C3) : C4)) : C2 (small group id <216, 159>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (Y2 * Y1)^2, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2, (Y3 * Y1 * Y3 * Y2)^2, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1, Y1 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y3, Y1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y2 ]
Map:: polytopal
	R = (1, 109, 4, 112, 5, 113)(2, 110, 7, 115, 8, 116)(3, 111, 9, 117, 10, 118)(6, 114, 15, 123, 16, 124)(11, 119, 26, 134, 27, 135)(12, 120, 28, 136, 29, 137)(13, 121, 31, 139, 32, 140)(14, 122, 33, 141, 34, 142)(17, 125, 40, 148, 41, 149)(18, 126, 42, 150, 43, 151)(19, 127, 45, 153, 46, 154)(20, 128, 47, 155, 48, 156)(21, 129, 50, 158, 51, 159)(22, 130, 52, 160, 53, 161)(23, 131, 55, 163, 56, 164)(24, 132, 57, 165, 58, 166)(25, 133, 59, 167, 60, 168)(30, 138, 63, 171, 64, 172)(35, 143, 68, 176, 69, 177)(36, 144, 70, 178, 71, 179)(37, 145, 73, 181, 74, 182)(38, 146, 75, 183, 76, 184)(39, 147, 77, 185, 78, 186)(44, 152, 81, 189, 82, 190)(49, 157, 85, 193, 86, 194)(54, 162, 89, 197, 90, 198)(61, 169, 95, 203, 66, 174)(62, 170, 96, 204, 65, 173)(67, 175, 99, 207, 100, 208)(72, 180, 103, 211, 104, 212)(79, 187, 93, 201, 84, 192)(80, 188, 97, 205, 83, 191)(87, 195, 98, 206, 92, 200)(88, 196, 94, 202, 91, 199)(101, 209, 108, 216, 106, 214)(102, 210, 107, 215, 105, 213)(217, 218)(219, 222)(220, 227)(221, 229)(223, 233)(224, 235)(225, 237)(226, 239)(228, 241)(230, 246)(231, 251)(232, 253)(234, 255)(236, 260)(238, 265)(240, 270)(242, 256)(243, 261)(244, 264)(245, 278)(247, 257)(248, 262)(249, 282)(250, 258)(252, 283)(254, 288)(259, 296)(263, 300)(266, 284)(267, 289)(268, 292)(269, 304)(271, 285)(272, 290)(273, 308)(274, 286)(275, 298)(276, 309)(277, 299)(279, 313)(280, 293)(281, 295)(287, 318)(291, 322)(294, 311)(297, 312)(301, 320)(302, 324)(303, 321)(305, 323)(306, 315)(307, 317)(310, 319)(314, 316)(325, 327)(326, 330)(328, 336)(329, 338)(331, 342)(332, 344)(333, 346)(334, 348)(335, 349)(337, 354)(339, 360)(340, 362)(341, 363)(343, 368)(345, 373)(347, 378)(350, 380)(351, 385)(352, 376)(353, 381)(355, 389)(356, 374)(357, 377)(358, 382)(359, 391)(361, 396)(364, 398)(365, 403)(366, 394)(367, 399)(369, 407)(370, 392)(371, 395)(372, 400)(375, 411)(379, 415)(383, 414)(384, 418)(386, 416)(387, 422)(388, 409)(390, 412)(393, 425)(397, 429)(401, 428)(402, 431)(404, 430)(405, 432)(406, 423)(408, 426)(410, 420)(413, 419)(417, 427)(421, 424)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 24, 24 ), ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2313
Graph:: simple bipartite
	v = 144 e = 216 f = 18
	degree seq :: [ 2^108, 6^36 ]

E28.2311 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 6})
Quotient :: edge^2
Aut^+ = (C3 x ((C3 x C3) : C2)) : C2 (small group id <108, 40>)
Aut   = (C3 x ((C3 x C3) : C4)) : C2 (small group id <216, 159>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-2 * Y2)^2, (Y3^2 * Y1)^2, Y3^6, (Y3^-1 * Y1 * Y3^-1 * Y2)^2, (Y2 * Y1 * Y3^-1)^3, Y1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y2 ]
Map:: polytopal
	R = (1, 109, 4, 112, 13, 121, 36, 144, 16, 124, 5, 113)(2, 110, 7, 115, 21, 129, 51, 159, 24, 132, 8, 116)(3, 111, 9, 117, 27, 135, 60, 168, 30, 138, 10, 118)(6, 114, 17, 125, 42, 150, 79, 187, 45, 153, 18, 126)(11, 119, 32, 140, 14, 122, 38, 146, 68, 176, 33, 141)(12, 120, 34, 142, 15, 123, 39, 147, 71, 179, 35, 143)(19, 127, 47, 155, 22, 130, 53, 161, 85, 193, 48, 156)(20, 128, 49, 157, 23, 131, 54, 162, 88, 196, 50, 158)(25, 133, 56, 164, 28, 136, 62, 170, 94, 202, 57, 165)(26, 134, 58, 166, 29, 137, 63, 171, 97, 205, 59, 167)(31, 139, 64, 172, 100, 208, 72, 180, 37, 145, 65, 173)(40, 148, 75, 183, 43, 151, 80, 188, 102, 210, 76, 184)(41, 149, 77, 185, 44, 152, 81, 189, 101, 209, 78, 186)(46, 154, 61, 169, 91, 199, 55, 163, 52, 160, 82, 190)(66, 174, 103, 211, 67, 175, 105, 213, 73, 181, 104, 212)(69, 177, 106, 214, 70, 178, 108, 216, 74, 182, 107, 215)(83, 191, 99, 207, 84, 192, 95, 203, 89, 197, 96, 204)(86, 194, 98, 206, 87, 195, 92, 200, 90, 198, 93, 201)(217, 218)(219, 222)(220, 227)(221, 230)(223, 235)(224, 238)(225, 241)(226, 244)(228, 247)(229, 240)(231, 253)(232, 237)(233, 256)(234, 259)(236, 262)(239, 268)(242, 271)(243, 261)(245, 277)(246, 258)(248, 282)(249, 283)(250, 265)(251, 270)(252, 284)(254, 289)(255, 266)(257, 288)(260, 280)(263, 299)(264, 300)(267, 301)(269, 305)(272, 308)(273, 309)(274, 293)(275, 297)(276, 310)(278, 314)(279, 294)(281, 317)(285, 302)(286, 306)(287, 316)(290, 303)(291, 324)(292, 323)(295, 318)(296, 322)(298, 313)(304, 307)(311, 321)(312, 319)(315, 320)(325, 327)(326, 330)(328, 336)(329, 339)(331, 344)(332, 347)(333, 350)(334, 353)(335, 355)(337, 354)(338, 361)(340, 351)(341, 365)(342, 368)(343, 370)(345, 369)(346, 376)(348, 366)(349, 379)(352, 385)(356, 380)(357, 386)(358, 393)(359, 394)(360, 395)(362, 381)(363, 398)(364, 396)(367, 388)(371, 399)(372, 404)(373, 410)(374, 411)(375, 412)(377, 400)(378, 414)(382, 419)(383, 420)(384, 421)(387, 423)(389, 426)(390, 416)(391, 422)(392, 424)(397, 417)(401, 429)(402, 428)(403, 425)(405, 427)(406, 418)(407, 432)(408, 430)(409, 415)(413, 431)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 12, 12 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2312
Graph:: simple bipartite
	v = 126 e = 216 f = 36
	degree seq :: [ 2^108, 12^18 ]

E28.2312 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 6})
Quotient :: loop^2
Aut^+ = (C3 x ((C3 x C3) : C2)) : C2 (small group id <108, 40>)
Aut   = (C3 x ((C3 x C3) : C4)) : C2 (small group id <216, 159>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (Y2 * Y1)^2, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2, (Y3 * Y1 * Y3 * Y2)^2, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1, Y1 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y3, Y1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y2 ]
Map::
	R = (1, 109, 217, 325, 4, 112, 220, 328, 5, 113, 221, 329)(2, 110, 218, 326, 7, 115, 223, 331, 8, 116, 224, 332)(3, 111, 219, 327, 9, 117, 225, 333, 10, 118, 226, 334)(6, 114, 222, 330, 15, 123, 231, 339, 16, 124, 232, 340)(11, 119, 227, 335, 26, 134, 242, 350, 27, 135, 243, 351)(12, 120, 228, 336, 28, 136, 244, 352, 29, 137, 245, 353)(13, 121, 229, 337, 31, 139, 247, 355, 32, 140, 248, 356)(14, 122, 230, 338, 33, 141, 249, 357, 34, 142, 250, 358)(17, 125, 233, 341, 40, 148, 256, 364, 41, 149, 257, 365)(18, 126, 234, 342, 42, 150, 258, 366, 43, 151, 259, 367)(19, 127, 235, 343, 45, 153, 261, 369, 46, 154, 262, 370)(20, 128, 236, 344, 47, 155, 263, 371, 48, 156, 264, 372)(21, 129, 237, 345, 50, 158, 266, 374, 51, 159, 267, 375)(22, 130, 238, 346, 52, 160, 268, 376, 53, 161, 269, 377)(23, 131, 239, 347, 55, 163, 271, 379, 56, 164, 272, 380)(24, 132, 240, 348, 57, 165, 273, 381, 58, 166, 274, 382)(25, 133, 241, 349, 59, 167, 275, 383, 60, 168, 276, 384)(30, 138, 246, 354, 63, 171, 279, 387, 64, 172, 280, 388)(35, 143, 251, 359, 68, 176, 284, 392, 69, 177, 285, 393)(36, 144, 252, 360, 70, 178, 286, 394, 71, 179, 287, 395)(37, 145, 253, 361, 73, 181, 289, 397, 74, 182, 290, 398)(38, 146, 254, 362, 75, 183, 291, 399, 76, 184, 292, 400)(39, 147, 255, 363, 77, 185, 293, 401, 78, 186, 294, 402)(44, 152, 260, 368, 81, 189, 297, 405, 82, 190, 298, 406)(49, 157, 265, 373, 85, 193, 301, 409, 86, 194, 302, 410)(54, 162, 270, 378, 89, 197, 305, 413, 90, 198, 306, 414)(61, 169, 277, 385, 95, 203, 311, 419, 66, 174, 282, 390)(62, 170, 278, 386, 96, 204, 312, 420, 65, 173, 281, 389)(67, 175, 283, 391, 99, 207, 315, 423, 100, 208, 316, 424)(72, 180, 288, 396, 103, 211, 319, 427, 104, 212, 320, 428)(79, 187, 295, 403, 93, 201, 309, 417, 84, 192, 300, 408)(80, 188, 296, 404, 97, 205, 313, 421, 83, 191, 299, 407)(87, 195, 303, 411, 98, 206, 314, 422, 92, 200, 308, 416)(88, 196, 304, 412, 94, 202, 310, 418, 91, 199, 307, 415)(101, 209, 317, 425, 108, 216, 324, 432, 106, 214, 322, 430)(102, 210, 318, 426, 107, 215, 323, 431, 105, 213, 321, 429)
	L = (1, 110)(2, 109)(3, 114)(4, 119)(5, 121)(6, 111)(7, 125)(8, 127)(9, 129)(10, 131)(11, 112)(12, 133)(13, 113)(14, 138)(15, 143)(16, 145)(17, 115)(18, 147)(19, 116)(20, 152)(21, 117)(22, 157)(23, 118)(24, 162)(25, 120)(26, 148)(27, 153)(28, 156)(29, 170)(30, 122)(31, 149)(32, 154)(33, 174)(34, 150)(35, 123)(36, 175)(37, 124)(38, 180)(39, 126)(40, 134)(41, 139)(42, 142)(43, 188)(44, 128)(45, 135)(46, 140)(47, 192)(48, 136)(49, 130)(50, 176)(51, 181)(52, 184)(53, 196)(54, 132)(55, 177)(56, 182)(57, 200)(58, 178)(59, 190)(60, 201)(61, 191)(62, 137)(63, 205)(64, 185)(65, 187)(66, 141)(67, 144)(68, 158)(69, 163)(70, 166)(71, 210)(72, 146)(73, 159)(74, 164)(75, 214)(76, 160)(77, 172)(78, 203)(79, 173)(80, 151)(81, 204)(82, 167)(83, 169)(84, 155)(85, 212)(86, 216)(87, 213)(88, 161)(89, 215)(90, 207)(91, 209)(92, 165)(93, 168)(94, 211)(95, 186)(96, 189)(97, 171)(98, 208)(99, 198)(100, 206)(101, 199)(102, 179)(103, 202)(104, 193)(105, 195)(106, 183)(107, 197)(108, 194)(217, 327)(218, 330)(219, 325)(220, 336)(221, 338)(222, 326)(223, 342)(224, 344)(225, 346)(226, 348)(227, 349)(228, 328)(229, 354)(230, 329)(231, 360)(232, 362)(233, 363)(234, 331)(235, 368)(236, 332)(237, 373)(238, 333)(239, 378)(240, 334)(241, 335)(242, 380)(243, 385)(244, 376)(245, 381)(246, 337)(247, 389)(248, 374)(249, 377)(250, 382)(251, 391)(252, 339)(253, 396)(254, 340)(255, 341)(256, 398)(257, 403)(258, 394)(259, 399)(260, 343)(261, 407)(262, 392)(263, 395)(264, 400)(265, 345)(266, 356)(267, 411)(268, 352)(269, 357)(270, 347)(271, 415)(272, 350)(273, 353)(274, 358)(275, 414)(276, 418)(277, 351)(278, 416)(279, 422)(280, 409)(281, 355)(282, 412)(283, 359)(284, 370)(285, 425)(286, 366)(287, 371)(288, 361)(289, 429)(290, 364)(291, 367)(292, 372)(293, 428)(294, 431)(295, 365)(296, 430)(297, 432)(298, 423)(299, 369)(300, 426)(301, 388)(302, 420)(303, 375)(304, 390)(305, 419)(306, 383)(307, 379)(308, 386)(309, 427)(310, 384)(311, 413)(312, 410)(313, 424)(314, 387)(315, 406)(316, 421)(317, 393)(318, 408)(319, 417)(320, 401)(321, 397)(322, 404)(323, 402)(324, 405)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2311
Transitivity :: VT+
Graph:: bipartite
	v = 36 e = 216 f = 126
	degree seq :: [ 12^36 ]

E28.2313 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 6})
Quotient :: loop^2
Aut^+ = (C3 x ((C3 x C3) : C2)) : C2 (small group id <108, 40>)
Aut   = (C3 x ((C3 x C3) : C4)) : C2 (small group id <216, 159>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-2 * Y2)^2, (Y3^2 * Y1)^2, Y3^6, (Y3^-1 * Y1 * Y3^-1 * Y2)^2, (Y2 * Y1 * Y3^-1)^3, Y1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y2 ]
Map::
	R = (1, 109, 217, 325, 4, 112, 220, 328, 13, 121, 229, 337, 36, 144, 252, 360, 16, 124, 232, 340, 5, 113, 221, 329)(2, 110, 218, 326, 7, 115, 223, 331, 21, 129, 237, 345, 51, 159, 267, 375, 24, 132, 240, 348, 8, 116, 224, 332)(3, 111, 219, 327, 9, 117, 225, 333, 27, 135, 243, 351, 60, 168, 276, 384, 30, 138, 246, 354, 10, 118, 226, 334)(6, 114, 222, 330, 17, 125, 233, 341, 42, 150, 258, 366, 79, 187, 295, 403, 45, 153, 261, 369, 18, 126, 234, 342)(11, 119, 227, 335, 32, 140, 248, 356, 14, 122, 230, 338, 38, 146, 254, 362, 68, 176, 284, 392, 33, 141, 249, 357)(12, 120, 228, 336, 34, 142, 250, 358, 15, 123, 231, 339, 39, 147, 255, 363, 71, 179, 287, 395, 35, 143, 251, 359)(19, 127, 235, 343, 47, 155, 263, 371, 22, 130, 238, 346, 53, 161, 269, 377, 85, 193, 301, 409, 48, 156, 264, 372)(20, 128, 236, 344, 49, 157, 265, 373, 23, 131, 239, 347, 54, 162, 270, 378, 88, 196, 304, 412, 50, 158, 266, 374)(25, 133, 241, 349, 56, 164, 272, 380, 28, 136, 244, 352, 62, 170, 278, 386, 94, 202, 310, 418, 57, 165, 273, 381)(26, 134, 242, 350, 58, 166, 274, 382, 29, 137, 245, 353, 63, 171, 279, 387, 97, 205, 313, 421, 59, 167, 275, 383)(31, 139, 247, 355, 64, 172, 280, 388, 100, 208, 316, 424, 72, 180, 288, 396, 37, 145, 253, 361, 65, 173, 281, 389)(40, 148, 256, 364, 75, 183, 291, 399, 43, 151, 259, 367, 80, 188, 296, 404, 102, 210, 318, 426, 76, 184, 292, 400)(41, 149, 257, 365, 77, 185, 293, 401, 44, 152, 260, 368, 81, 189, 297, 405, 101, 209, 317, 425, 78, 186, 294, 402)(46, 154, 262, 370, 61, 169, 277, 385, 91, 199, 307, 415, 55, 163, 271, 379, 52, 160, 268, 376, 82, 190, 298, 406)(66, 174, 282, 390, 103, 211, 319, 427, 67, 175, 283, 391, 105, 213, 321, 429, 73, 181, 289, 397, 104, 212, 320, 428)(69, 177, 285, 393, 106, 214, 322, 430, 70, 178, 286, 394, 108, 216, 324, 432, 74, 182, 290, 398, 107, 215, 323, 431)(83, 191, 299, 407, 99, 207, 315, 423, 84, 192, 300, 408, 95, 203, 311, 419, 89, 197, 305, 413, 96, 204, 312, 420)(86, 194, 302, 410, 98, 206, 314, 422, 87, 195, 303, 411, 92, 200, 308, 416, 90, 198, 306, 414, 93, 201, 309, 417)
	L = (1, 110)(2, 109)(3, 114)(4, 119)(5, 122)(6, 111)(7, 127)(8, 130)(9, 133)(10, 136)(11, 112)(12, 139)(13, 132)(14, 113)(15, 145)(16, 129)(17, 148)(18, 151)(19, 115)(20, 154)(21, 124)(22, 116)(23, 160)(24, 121)(25, 117)(26, 163)(27, 153)(28, 118)(29, 169)(30, 150)(31, 120)(32, 174)(33, 175)(34, 157)(35, 162)(36, 176)(37, 123)(38, 181)(39, 158)(40, 125)(41, 180)(42, 138)(43, 126)(44, 172)(45, 135)(46, 128)(47, 191)(48, 192)(49, 142)(50, 147)(51, 193)(52, 131)(53, 197)(54, 143)(55, 134)(56, 200)(57, 201)(58, 185)(59, 189)(60, 202)(61, 137)(62, 206)(63, 186)(64, 152)(65, 209)(66, 140)(67, 141)(68, 144)(69, 194)(70, 198)(71, 208)(72, 149)(73, 146)(74, 195)(75, 216)(76, 215)(77, 166)(78, 171)(79, 210)(80, 214)(81, 167)(82, 205)(83, 155)(84, 156)(85, 159)(86, 177)(87, 182)(88, 199)(89, 161)(90, 178)(91, 196)(92, 164)(93, 165)(94, 168)(95, 213)(96, 211)(97, 190)(98, 170)(99, 212)(100, 179)(101, 173)(102, 187)(103, 204)(104, 207)(105, 203)(106, 188)(107, 184)(108, 183)(217, 327)(218, 330)(219, 325)(220, 336)(221, 339)(222, 326)(223, 344)(224, 347)(225, 350)(226, 353)(227, 355)(228, 328)(229, 354)(230, 361)(231, 329)(232, 351)(233, 365)(234, 368)(235, 370)(236, 331)(237, 369)(238, 376)(239, 332)(240, 366)(241, 379)(242, 333)(243, 340)(244, 385)(245, 334)(246, 337)(247, 335)(248, 380)(249, 386)(250, 393)(251, 394)(252, 395)(253, 338)(254, 381)(255, 398)(256, 396)(257, 341)(258, 348)(259, 388)(260, 342)(261, 345)(262, 343)(263, 399)(264, 404)(265, 410)(266, 411)(267, 412)(268, 346)(269, 400)(270, 414)(271, 349)(272, 356)(273, 362)(274, 419)(275, 420)(276, 421)(277, 352)(278, 357)(279, 423)(280, 367)(281, 426)(282, 416)(283, 422)(284, 424)(285, 358)(286, 359)(287, 360)(288, 364)(289, 417)(290, 363)(291, 371)(292, 377)(293, 429)(294, 428)(295, 425)(296, 372)(297, 427)(298, 418)(299, 432)(300, 430)(301, 415)(302, 373)(303, 374)(304, 375)(305, 431)(306, 378)(307, 409)(308, 390)(309, 397)(310, 406)(311, 382)(312, 383)(313, 384)(314, 391)(315, 387)(316, 392)(317, 403)(318, 389)(319, 405)(320, 402)(321, 401)(322, 408)(323, 413)(324, 407)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2310
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 216 f = 144
	degree seq :: [ 24^18 ]

E28.2314 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 6, 6})
Quotient :: edge
Aut^+ = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^6, T1^6, T1^-2 * T2 * T1^-3 * T2^-1 * T1^-1, T2^2 * T1^2 * T2^-1 * T1 * T2^-1 * T1^-1, T1^-1 * T2 * T1^-1 * T2 * T1 * T2^-2 * T1^-1, T1^-1 * T2^-1 * T1^-1 * T2^2 * T1^-1 * T2^-1 * T1^-1, T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T2^-3 * T1^-1)^2, (T1^-1, T2, T1^-1) ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 31, 17, 5)(2, 7, 22, 64, 26, 8)(4, 12, 37, 83, 43, 14)(6, 19, 55, 93, 59, 20)(9, 28, 79, 51, 69, 29)(11, 33, 86, 50, 57, 35)(13, 39, 80, 105, 87, 40)(15, 45, 60, 32, 84, 46)(16, 47, 54, 30, 82, 49)(18, 52, 90, 106, 91, 53)(21, 61, 99, 76, 42, 62)(23, 66, 102, 75, 48, 68)(24, 70, 38, 65, 101, 71)(25, 72, 34, 63, 100, 74)(27, 77, 103, 88, 41, 78)(36, 85, 104, 89, 44, 81)(56, 94, 108, 98, 73, 95)(58, 96, 67, 92, 107, 97)(109, 110, 114, 126, 121, 112)(111, 117, 135, 160, 142, 119)(113, 123, 152, 161, 156, 124)(115, 129, 168, 147, 175, 131)(116, 132, 177, 148, 181, 133)(118, 138, 174, 198, 193, 140)(120, 144, 164, 127, 162, 146)(122, 149, 166, 128, 165, 150)(125, 158, 182, 199, 196, 159)(130, 171, 202, 188, 136, 173)(134, 183, 205, 195, 154, 184)(137, 170, 155, 180, 204, 189)(139, 191, 213, 214, 201, 172)(141, 163, 200, 185, 145, 169)(143, 176, 203, 186, 153, 178)(151, 179, 157, 167, 206, 197)(187, 212, 215, 208, 190, 207)(192, 211, 216, 210, 194, 209)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2318
Transitivity :: ET+
Graph:: simple bipartite
	v = 36 e = 108 f = 18
	degree seq :: [ 6^36 ]

E28.2315 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 6, 6})
Quotient :: edge
Aut^+ = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (T2 * T1^-1)^2, (F * T2)^2, (T2 * T1^2)^2, T1^6, T2^6, T2^2 * T1 * T2 * T1 * T2^-2 * T1^-1 * T2^-1 * T1^-1, T2 * T1 * T2 * T1^-1 * T2^-2 * T1^-3 * T2^-2 * T1^-1, T2^-1 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 27, 15, 5)(2, 7, 20, 43, 22, 8)(4, 11, 29, 57, 31, 13)(6, 17, 37, 67, 39, 18)(9, 24, 48, 83, 50, 25)(12, 30, 58, 81, 47, 23)(14, 32, 61, 92, 62, 33)(16, 35, 64, 93, 65, 36)(19, 40, 71, 99, 73, 41)(21, 44, 78, 104, 79, 45)(26, 51, 70, 96, 87, 52)(28, 54, 89, 105, 82, 55)(34, 53, 88, 100, 72, 63)(38, 68, 97, 108, 98, 69)(42, 74, 60, 86, 102, 75)(46, 76, 103, 90, 56, 80)(49, 84, 59, 91, 106, 85)(66, 94, 77, 101, 107, 95)(109, 110, 114, 124, 120, 112)(111, 117, 131, 143, 129, 116)(113, 119, 136, 144, 125, 122)(115, 127, 121, 138, 146, 126)(118, 134, 153, 172, 157, 133)(123, 140, 168, 173, 162, 142)(128, 150, 177, 166, 180, 149)(130, 152, 185, 155, 132, 154)(135, 161, 193, 201, 194, 160)(137, 164, 141, 145, 174, 163)(139, 148, 178, 147, 176, 167)(151, 184, 208, 189, 209, 183)(156, 190, 202, 186, 170, 188)(158, 192, 205, 187, 159, 179)(165, 199, 203, 175, 204, 198)(169, 181, 171, 197, 206, 182)(191, 207, 200, 212, 216, 213)(195, 210, 215, 214, 196, 211)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2319
Transitivity :: ET+
Graph:: simple bipartite
	v = 36 e = 108 f = 18
	degree seq :: [ 6^36 ]

E28.2316 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 6, 6})
Quotient :: edge
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^2 * T1 * T2^2 * T1^-1, T2^6, (T1^-2 * T2^-1)^2, T1^6, T1^-1 * T2^3 * T1^-2 * T2 * T1^-1, T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 30, 17, 5)(2, 7, 22, 52, 26, 8)(4, 12, 36, 56, 31, 14)(6, 19, 45, 33, 49, 20)(9, 28, 15, 41, 65, 29)(11, 32, 16, 42, 47, 34)(13, 38, 66, 40, 60, 27)(18, 43, 75, 54, 78, 44)(21, 50, 24, 57, 37, 51)(23, 53, 25, 58, 77, 55)(35, 70, 39, 72, 76, 71)(46, 79, 48, 81, 59, 80)(61, 91, 63, 95, 68, 92)(62, 93, 64, 96, 73, 94)(67, 97, 69, 99, 74, 98)(82, 100, 84, 104, 87, 101)(83, 102, 85, 105, 89, 103)(86, 106, 88, 108, 90, 107)(109, 110, 114, 126, 121, 112)(111, 117, 135, 167, 141, 119)(113, 123, 148, 154, 127, 124)(115, 129, 122, 147, 162, 131)(116, 132, 164, 184, 151, 133)(118, 134, 153, 186, 174, 139)(120, 143, 152, 185, 160, 145)(125, 130, 157, 183, 168, 144)(128, 155, 138, 173, 146, 156)(136, 169, 142, 177, 187, 170)(137, 171, 150, 182, 188, 172)(140, 175, 189, 181, 149, 176)(158, 190, 163, 196, 179, 191)(159, 192, 166, 198, 180, 193)(161, 194, 178, 197, 165, 195)(199, 210, 202, 214, 206, 212)(200, 213, 204, 216, 207, 209)(201, 215, 205, 208, 203, 211)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2321
Transitivity :: ET+
Graph:: simple bipartite
	v = 36 e = 108 f = 18
	degree seq :: [ 6^36 ]

E28.2317 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 6, 6})
Quotient :: edge
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2^-2 * T1 * T2^-2, T1^6, T2^6, (T2 * T1^-2)^2, T2 * T1^2 * T2^3 * T1^2, T2^-1 * T1 * T2^2 * T1^3 * T2^-1 * T1^-2, (T2 * T1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 30, 17, 5)(2, 7, 22, 53, 26, 8)(4, 12, 35, 50, 31, 14)(6, 19, 46, 42, 49, 20)(9, 28, 15, 40, 65, 29)(11, 32, 16, 41, 45, 33)(13, 36, 60, 27, 59, 37)(18, 43, 76, 58, 78, 44)(21, 51, 24, 56, 39, 52)(23, 54, 25, 57, 75, 55)(34, 69, 38, 72, 77, 70)(47, 79, 48, 81, 71, 80)(61, 91, 63, 95, 68, 92)(62, 93, 64, 96, 73, 94)(66, 97, 67, 99, 74, 98)(82, 100, 84, 104, 88, 101)(83, 102, 85, 105, 89, 103)(86, 106, 87, 108, 90, 107)(109, 110, 114, 126, 121, 112)(111, 117, 135, 156, 128, 119)(113, 123, 144, 179, 150, 124)(115, 129, 158, 185, 152, 131)(116, 132, 120, 142, 166, 133)(118, 134, 154, 186, 168, 139)(122, 146, 151, 183, 161, 147)(125, 130, 157, 184, 167, 143)(127, 153, 138, 173, 145, 155)(136, 169, 149, 182, 187, 170)(137, 171, 140, 174, 188, 172)(141, 175, 189, 181, 148, 176)(159, 190, 165, 198, 180, 191)(160, 192, 162, 194, 177, 193)(163, 195, 178, 197, 164, 196)(199, 213, 204, 216, 207, 208)(200, 211, 201, 215, 205, 212)(202, 214, 206, 209, 203, 210)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2320
Transitivity :: ET+
Graph:: simple bipartite
	v = 36 e = 108 f = 18
	degree seq :: [ 6^36 ]

E28.2318 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 6, 6})
Quotient :: loop
Aut^+ = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^6, T1^6, T1^-2 * T2 * T1^-3 * T2^-1 * T1^-1, T2^2 * T1^2 * T2^-1 * T1 * T2^-1 * T1^-1, T1^-1 * T2 * T1^-1 * T2 * T1 * T2^-2 * T1^-1, T1^-1 * T2^-1 * T1^-1 * T2^2 * T1^-1 * T2^-1 * T1^-1, T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T2^-3 * T1^-1)^2, (T1^-1, T2, T1^-1) ]
Map:: polytopal non-degenerate
	R = (1, 109, 3, 111, 10, 118, 31, 139, 17, 125, 5, 113)(2, 110, 7, 115, 22, 130, 64, 172, 26, 134, 8, 116)(4, 112, 12, 120, 37, 145, 83, 191, 43, 151, 14, 122)(6, 114, 19, 127, 55, 163, 93, 201, 59, 167, 20, 128)(9, 117, 28, 136, 79, 187, 51, 159, 69, 177, 29, 137)(11, 119, 33, 141, 86, 194, 50, 158, 57, 165, 35, 143)(13, 121, 39, 147, 80, 188, 105, 213, 87, 195, 40, 148)(15, 123, 45, 153, 60, 168, 32, 140, 84, 192, 46, 154)(16, 124, 47, 155, 54, 162, 30, 138, 82, 190, 49, 157)(18, 126, 52, 160, 90, 198, 106, 214, 91, 199, 53, 161)(21, 129, 61, 169, 99, 207, 76, 184, 42, 150, 62, 170)(23, 131, 66, 174, 102, 210, 75, 183, 48, 156, 68, 176)(24, 132, 70, 178, 38, 146, 65, 173, 101, 209, 71, 179)(25, 133, 72, 180, 34, 142, 63, 171, 100, 208, 74, 182)(27, 135, 77, 185, 103, 211, 88, 196, 41, 149, 78, 186)(36, 144, 85, 193, 104, 212, 89, 197, 44, 152, 81, 189)(56, 164, 94, 202, 108, 216, 98, 206, 73, 181, 95, 203)(58, 166, 96, 204, 67, 175, 92, 200, 107, 215, 97, 205)
	L = (1, 110)(2, 114)(3, 117)(4, 109)(5, 123)(6, 126)(7, 129)(8, 132)(9, 135)(10, 138)(11, 111)(12, 144)(13, 112)(14, 149)(15, 152)(16, 113)(17, 158)(18, 121)(19, 162)(20, 165)(21, 168)(22, 171)(23, 115)(24, 177)(25, 116)(26, 183)(27, 160)(28, 173)(29, 170)(30, 174)(31, 191)(32, 118)(33, 163)(34, 119)(35, 176)(36, 164)(37, 169)(38, 120)(39, 175)(40, 181)(41, 166)(42, 122)(43, 179)(44, 161)(45, 178)(46, 184)(47, 180)(48, 124)(49, 167)(50, 182)(51, 125)(52, 142)(53, 156)(54, 146)(55, 200)(56, 127)(57, 150)(58, 128)(59, 206)(60, 147)(61, 141)(62, 155)(63, 202)(64, 139)(65, 130)(66, 198)(67, 131)(68, 203)(69, 148)(70, 143)(71, 157)(72, 204)(73, 133)(74, 199)(75, 205)(76, 134)(77, 145)(78, 153)(79, 212)(80, 136)(81, 137)(82, 207)(83, 213)(84, 211)(85, 140)(86, 209)(87, 154)(88, 159)(89, 151)(90, 193)(91, 196)(92, 185)(93, 172)(94, 188)(95, 186)(96, 189)(97, 195)(98, 197)(99, 187)(100, 190)(101, 192)(102, 194)(103, 216)(104, 215)(105, 214)(106, 201)(107, 208)(108, 210)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2314
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 12^18 ]

E28.2319 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 6, 6})
Quotient :: loop
Aut^+ = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (T2 * T1^-1)^2, (F * T2)^2, (T2 * T1^2)^2, T1^6, T2^6, T2^2 * T1 * T2 * T1 * T2^-2 * T1^-1 * T2^-1 * T1^-1, T2 * T1 * T2 * T1^-1 * T2^-2 * T1^-3 * T2^-2 * T1^-1, T2^-1 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 109, 3, 111, 10, 118, 27, 135, 15, 123, 5, 113)(2, 110, 7, 115, 20, 128, 43, 151, 22, 130, 8, 116)(4, 112, 11, 119, 29, 137, 57, 165, 31, 139, 13, 121)(6, 114, 17, 125, 37, 145, 67, 175, 39, 147, 18, 126)(9, 117, 24, 132, 48, 156, 83, 191, 50, 158, 25, 133)(12, 120, 30, 138, 58, 166, 81, 189, 47, 155, 23, 131)(14, 122, 32, 140, 61, 169, 92, 200, 62, 170, 33, 141)(16, 124, 35, 143, 64, 172, 93, 201, 65, 173, 36, 144)(19, 127, 40, 148, 71, 179, 99, 207, 73, 181, 41, 149)(21, 129, 44, 152, 78, 186, 104, 212, 79, 187, 45, 153)(26, 134, 51, 159, 70, 178, 96, 204, 87, 195, 52, 160)(28, 136, 54, 162, 89, 197, 105, 213, 82, 190, 55, 163)(34, 142, 53, 161, 88, 196, 100, 208, 72, 180, 63, 171)(38, 146, 68, 176, 97, 205, 108, 216, 98, 206, 69, 177)(42, 150, 74, 182, 60, 168, 86, 194, 102, 210, 75, 183)(46, 154, 76, 184, 103, 211, 90, 198, 56, 164, 80, 188)(49, 157, 84, 192, 59, 167, 91, 199, 106, 214, 85, 193)(66, 174, 94, 202, 77, 185, 101, 209, 107, 215, 95, 203)
	L = (1, 110)(2, 114)(3, 117)(4, 109)(5, 119)(6, 124)(7, 127)(8, 111)(9, 131)(10, 134)(11, 136)(12, 112)(13, 138)(14, 113)(15, 140)(16, 120)(17, 122)(18, 115)(19, 121)(20, 150)(21, 116)(22, 152)(23, 143)(24, 154)(25, 118)(26, 153)(27, 161)(28, 144)(29, 164)(30, 146)(31, 148)(32, 168)(33, 145)(34, 123)(35, 129)(36, 125)(37, 174)(38, 126)(39, 176)(40, 178)(41, 128)(42, 177)(43, 184)(44, 185)(45, 172)(46, 130)(47, 132)(48, 190)(49, 133)(50, 192)(51, 179)(52, 135)(53, 193)(54, 142)(55, 137)(56, 141)(57, 199)(58, 180)(59, 139)(60, 173)(61, 181)(62, 188)(63, 197)(64, 157)(65, 162)(66, 163)(67, 204)(68, 167)(69, 166)(70, 147)(71, 158)(72, 149)(73, 171)(74, 169)(75, 151)(76, 208)(77, 155)(78, 170)(79, 159)(80, 156)(81, 209)(82, 202)(83, 207)(84, 205)(85, 201)(86, 160)(87, 210)(88, 211)(89, 206)(90, 165)(91, 203)(92, 212)(93, 194)(94, 186)(95, 175)(96, 198)(97, 187)(98, 182)(99, 200)(100, 189)(101, 183)(102, 215)(103, 195)(104, 216)(105, 191)(106, 196)(107, 214)(108, 213)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2315
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 12^18 ]

E28.2320 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 6, 6})
Quotient :: loop
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^6, T2^6, T1^2 * T2 * T1 * T2^-1 * T1^-1 * T2^-2, T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1, (T2^3 * T1^-1)^2, T2 * T1^-1 * T2^-1 * T1 * T2^-2 * T1^-2, (T2^-3 * T1^-1)^2, T2 * T1^-1 * T2^2 * T1^-1 * T2 * T1^-2, T2^2 * T1^2 * T2^-1 * T1 * T2 * T1^-1, (T2^2 * T1 * T2^-1 * T1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 109, 3, 111, 10, 118, 31, 139, 17, 125, 5, 113)(2, 110, 7, 115, 22, 130, 64, 172, 26, 134, 8, 116)(4, 112, 12, 120, 37, 145, 83, 191, 43, 151, 14, 122)(6, 114, 19, 127, 55, 163, 93, 201, 59, 167, 20, 128)(9, 117, 28, 136, 60, 168, 51, 159, 81, 189, 29, 137)(11, 119, 33, 141, 57, 165, 50, 158, 86, 194, 35, 143)(13, 121, 39, 147, 80, 188, 104, 212, 89, 197, 40, 148)(15, 123, 45, 153, 85, 193, 32, 140, 69, 177, 46, 154)(16, 124, 47, 155, 82, 190, 30, 138, 54, 162, 49, 157)(18, 126, 52, 160, 90, 198, 106, 214, 91, 199, 53, 161)(21, 129, 61, 169, 42, 150, 76, 184, 99, 207, 62, 170)(23, 131, 66, 174, 34, 142, 75, 183, 102, 210, 68, 176)(24, 132, 70, 178, 101, 209, 65, 173, 38, 146, 71, 179)(25, 133, 72, 180, 100, 208, 63, 171, 48, 156, 74, 182)(27, 135, 77, 185, 103, 211, 87, 195, 36, 144, 78, 186)(41, 149, 84, 192, 105, 213, 88, 196, 44, 152, 79, 187)(56, 164, 94, 202, 67, 175, 98, 206, 108, 216, 95, 203)(58, 166, 96, 204, 107, 215, 92, 200, 73, 181, 97, 205)
	L = (1, 110)(2, 114)(3, 117)(4, 109)(5, 123)(6, 126)(7, 129)(8, 132)(9, 135)(10, 138)(11, 111)(12, 144)(13, 112)(14, 149)(15, 152)(16, 113)(17, 158)(18, 121)(19, 162)(20, 165)(21, 168)(22, 171)(23, 115)(24, 177)(25, 116)(26, 183)(27, 161)(28, 179)(29, 184)(30, 180)(31, 191)(32, 118)(33, 182)(34, 119)(35, 163)(36, 166)(37, 170)(38, 120)(39, 181)(40, 175)(41, 164)(42, 122)(43, 178)(44, 160)(45, 173)(46, 169)(47, 167)(48, 124)(49, 174)(50, 176)(51, 125)(52, 156)(53, 142)(54, 150)(55, 200)(56, 127)(57, 146)(58, 128)(59, 206)(60, 148)(61, 141)(62, 155)(63, 204)(64, 139)(65, 130)(66, 205)(67, 131)(68, 198)(69, 147)(70, 143)(71, 157)(72, 199)(73, 133)(74, 202)(75, 203)(76, 134)(77, 151)(78, 154)(79, 136)(80, 137)(81, 213)(82, 209)(83, 212)(84, 140)(85, 211)(86, 207)(87, 159)(88, 145)(89, 153)(90, 195)(91, 192)(92, 185)(93, 172)(94, 186)(95, 188)(96, 197)(97, 187)(98, 196)(99, 193)(100, 194)(101, 189)(102, 190)(103, 216)(104, 214)(105, 215)(106, 201)(107, 210)(108, 208)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2317
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 12^18 ]

E28.2321 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 6, 6})
Quotient :: loop
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ F^2, (T1^-1 * T2)^2, (F * T2)^2, (F * T1)^2, T2^6, T1^6, T1 * T2 * T1^2 * T2 * T1 * T2^2, T2 * T1 * T2^2 * T1 * T2 * T1^2, T2 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2 * T1 * T2 * T1^-1 * T2^-1 * T1^2 * T2 * T1^-2, T1^-1 * T2^-1 * T1 * T2^2 * T1^-2 * T2^3 ]
Map:: polytopal non-degenerate
	R = (1, 109, 3, 111, 10, 118, 27, 135, 15, 123, 5, 113)(2, 110, 7, 115, 20, 128, 48, 156, 22, 130, 8, 116)(4, 112, 11, 119, 29, 137, 67, 175, 33, 141, 13, 121)(6, 114, 17, 125, 41, 149, 83, 191, 43, 151, 18, 126)(9, 117, 24, 132, 56, 164, 90, 198, 58, 166, 25, 133)(12, 120, 30, 138, 69, 177, 103, 211, 70, 178, 31, 139)(14, 122, 34, 142, 73, 181, 81, 189, 40, 148, 36, 144)(16, 124, 38, 146, 77, 185, 105, 213, 79, 187, 39, 147)(19, 127, 45, 153, 32, 140, 71, 179, 91, 199, 46, 154)(21, 129, 49, 157, 96, 204, 72, 180, 76, 184, 51, 159)(23, 131, 53, 161, 99, 207, 75, 183, 85, 193, 54, 162)(26, 134, 60, 168, 89, 197, 104, 212, 87, 195, 61, 169)(28, 136, 64, 172, 78, 186, 57, 165, 101, 209, 65, 173)(35, 143, 74, 182, 102, 210, 59, 167, 93, 201, 47, 155)(37, 145, 62, 170, 98, 206, 106, 214, 88, 196, 44, 152)(42, 150, 84, 192, 108, 216, 95, 203, 68, 176, 86, 194)(50, 158, 97, 205, 63, 171, 92, 200, 107, 215, 82, 190)(52, 160, 94, 202, 66, 174, 100, 208, 55, 163, 80, 188)
	L = (1, 110)(2, 114)(3, 117)(4, 109)(5, 119)(6, 124)(7, 127)(8, 111)(9, 131)(10, 134)(11, 136)(12, 112)(13, 138)(14, 113)(15, 142)(16, 120)(17, 148)(18, 115)(19, 152)(20, 155)(21, 116)(22, 157)(23, 158)(24, 163)(25, 118)(26, 167)(27, 170)(28, 171)(29, 174)(30, 176)(31, 146)(32, 121)(33, 179)(34, 180)(35, 122)(36, 182)(37, 123)(38, 184)(39, 125)(40, 188)(41, 190)(42, 126)(43, 192)(44, 193)(45, 197)(46, 128)(47, 200)(48, 202)(49, 203)(50, 129)(51, 205)(52, 130)(53, 141)(54, 132)(55, 144)(56, 139)(57, 133)(58, 209)(59, 187)(60, 140)(61, 135)(62, 211)(63, 143)(64, 196)(65, 137)(66, 195)(67, 207)(68, 210)(69, 206)(70, 198)(71, 189)(72, 185)(73, 199)(74, 194)(75, 145)(76, 212)(77, 183)(78, 147)(79, 165)(80, 214)(81, 149)(82, 161)(83, 169)(84, 173)(85, 150)(86, 162)(87, 151)(88, 153)(89, 159)(90, 154)(91, 166)(92, 178)(93, 156)(94, 175)(95, 177)(96, 181)(97, 172)(98, 160)(99, 213)(100, 164)(101, 216)(102, 168)(103, 215)(104, 208)(105, 201)(106, 186)(107, 191)(108, 204)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2316
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 12^18 ]

E28.2322 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 6})
Quotient :: dipole
Aut^+ = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^-3 * Y3 * Y1^-2, Y2^6, Y2 * Y1^2 * Y2 * Y1^-1 * Y2^2 * Y1^-1, Y3^2 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y2^-2, Y2 * Y1^2 * Y2^-2 * Y1^-1 * Y2^-1 * Y1^-1, Y3^2 * Y2 * Y3^-3 * Y2 * Y1^-1, (Y2^-1, Y3^-1, Y2^-1), Y2^-1 * Y3 * Y2 * Y3^-2 * Y2^-2 * Y1^-1, Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y1^-1, Y3^2 * Y2^-1 * Y1 * Y3^-2 * Y2^-1 * Y1^-1, Y1^-1 * Y2^-1 * Y3 * Y2^-2 * Y3^-2 * Y2, Y2^2 * Y3 * Y2 * Y3^-2 * Y2 * Y1^-1, Y1^-1 * Y2 * Y1^2 * Y3^-1 * Y2 * Y1^-2, (Y3^2 * Y2 * Y3)^2, Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y2 * Y3 * Y2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2 * Y3^-1 * Y1 * Y2 * Y3 * Y2^2 * Y1^-1, Y3 * Y2^-2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1, Y2 * Y1 * Y2^2 * Y1 * Y2 * Y1^-2, Y3 * Y2^-1 * Y1^2 * Y3^-1 * Y2^-1 * Y1^-2, Y2^2 * Y3 * Y2^-1 * Y1 * Y2^2 * Y3^-1 * Y2^-1 * Y1^-1 ]
Map::
	R = (1, 109, 2, 110, 6, 114, 18, 126, 13, 121, 4, 112)(3, 111, 9, 117, 27, 135, 53, 161, 34, 142, 11, 119)(5, 113, 15, 123, 44, 152, 52, 160, 48, 156, 16, 124)(7, 115, 21, 129, 60, 168, 40, 148, 67, 175, 23, 131)(8, 116, 24, 132, 69, 177, 39, 147, 73, 181, 25, 133)(10, 118, 30, 138, 70, 178, 91, 199, 80, 188, 32, 140)(12, 120, 36, 144, 58, 166, 20, 128, 57, 165, 38, 146)(14, 122, 41, 149, 56, 164, 19, 127, 54, 162, 42, 150)(17, 125, 50, 158, 62, 170, 90, 198, 88, 196, 51, 159)(22, 130, 63, 171, 96, 204, 89, 197, 47, 155, 65, 173)(26, 134, 75, 183, 93, 201, 85, 193, 35, 143, 76, 184)(28, 136, 71, 179, 92, 200, 84, 192, 49, 157, 66, 174)(29, 137, 55, 163, 94, 202, 83, 191, 43, 151, 72, 180)(31, 139, 64, 172, 95, 203, 106, 214, 103, 211, 79, 187)(33, 141, 74, 182, 46, 154, 61, 169, 97, 205, 82, 190)(37, 145, 68, 176, 45, 153, 59, 167, 98, 206, 87, 195)(77, 185, 100, 208, 107, 215, 105, 213, 81, 189, 102, 210)(78, 186, 99, 207, 108, 216, 104, 212, 86, 194, 101, 209)(217, 325, 219, 327, 226, 334, 247, 355, 233, 341, 221, 329)(218, 326, 223, 331, 238, 346, 280, 388, 242, 350, 224, 332)(220, 328, 228, 336, 253, 361, 295, 403, 259, 367, 230, 338)(222, 330, 235, 343, 271, 379, 311, 419, 275, 383, 236, 344)(225, 333, 244, 352, 274, 382, 266, 374, 293, 401, 245, 353)(227, 335, 249, 357, 283, 391, 267, 375, 302, 410, 251, 359)(229, 337, 255, 363, 301, 409, 319, 427, 305, 413, 256, 364)(231, 339, 261, 369, 294, 402, 246, 354, 272, 380, 262, 370)(232, 340, 263, 371, 297, 405, 248, 356, 289, 397, 265, 373)(234, 342, 268, 376, 306, 414, 322, 430, 307, 415, 269, 377)(237, 345, 277, 385, 243, 351, 291, 399, 315, 423, 278, 386)(239, 347, 282, 390, 257, 365, 292, 400, 318, 426, 284, 392)(240, 348, 286, 394, 316, 424, 279, 387, 260, 368, 287, 395)(241, 349, 288, 396, 317, 425, 281, 389, 252, 360, 290, 398)(250, 358, 299, 407, 321, 429, 304, 412, 254, 362, 300, 408)(258, 366, 296, 404, 320, 428, 303, 411, 264, 372, 298, 406)(270, 378, 308, 416, 276, 384, 314, 422, 323, 431, 309, 417)(273, 381, 312, 420, 324, 432, 310, 418, 285, 393, 313, 421)
	L = (1, 220)(2, 217)(3, 227)(4, 229)(5, 232)(6, 218)(7, 239)(8, 241)(9, 219)(10, 248)(11, 250)(12, 254)(13, 234)(14, 258)(15, 221)(16, 264)(17, 267)(18, 222)(19, 272)(20, 274)(21, 223)(22, 281)(23, 283)(24, 224)(25, 289)(26, 292)(27, 225)(28, 282)(29, 288)(30, 226)(31, 295)(32, 296)(33, 298)(34, 269)(35, 301)(36, 228)(37, 303)(38, 273)(39, 285)(40, 276)(41, 230)(42, 270)(43, 299)(44, 231)(45, 284)(46, 290)(47, 305)(48, 268)(49, 300)(50, 233)(51, 304)(52, 260)(53, 243)(54, 235)(55, 245)(56, 257)(57, 236)(58, 252)(59, 261)(60, 237)(61, 262)(62, 266)(63, 238)(64, 247)(65, 263)(66, 265)(67, 256)(68, 253)(69, 240)(70, 246)(71, 244)(72, 259)(73, 255)(74, 249)(75, 242)(76, 251)(77, 318)(78, 317)(79, 319)(80, 307)(81, 321)(82, 313)(83, 310)(84, 308)(85, 309)(86, 320)(87, 314)(88, 306)(89, 312)(90, 278)(91, 286)(92, 287)(93, 291)(94, 271)(95, 280)(96, 279)(97, 277)(98, 275)(99, 294)(100, 293)(101, 302)(102, 297)(103, 322)(104, 324)(105, 323)(106, 311)(107, 316)(108, 315)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2326
Graph:: bipartite
	v = 36 e = 216 f = 126
	degree seq :: [ 12^36 ]

E28.2323 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 6})
Quotient :: dipole
Aut^+ = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^-1 * Y3^-1, Y2^-1 * Y1 * Y2^-1 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2^2 * Y3^-1 * Y2, Y2^6, Y1^6, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y3^2 * Y2^-1 * Y1^-1 * Y3 * Y2^2 * Y1^-1, Y2^-1 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y1^-2 * Y2^-1 * Y1^-1, Y1 * Y2 * Y3^-1 * Y2 * Y3 * Y1^-1 * Y2^-1 * Y1^-2 * Y2, Y3 * Y2 * Y1 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 109, 2, 110, 6, 114, 16, 124, 12, 120, 4, 112)(3, 111, 9, 117, 23, 131, 46, 154, 21, 129, 8, 116)(5, 113, 11, 119, 28, 136, 54, 162, 34, 142, 14, 122)(7, 115, 19, 127, 41, 149, 73, 181, 39, 147, 18, 126)(10, 118, 26, 134, 52, 160, 86, 194, 50, 158, 25, 133)(13, 121, 30, 138, 58, 166, 92, 200, 61, 169, 32, 140)(15, 123, 33, 141, 62, 170, 77, 185, 43, 151, 20, 128)(17, 125, 37, 145, 68, 176, 98, 206, 66, 174, 36, 144)(22, 130, 45, 153, 79, 187, 100, 208, 70, 178, 38, 146)(24, 132, 49, 157, 69, 177, 99, 207, 83, 191, 48, 156)(27, 135, 44, 152, 71, 179, 96, 204, 88, 196, 53, 161)(29, 137, 57, 165, 91, 199, 102, 210, 74, 182, 56, 164)(31, 139, 35, 143, 64, 172, 93, 201, 84, 192, 60, 168)(40, 148, 72, 180, 63, 171, 89, 197, 95, 203, 65, 173)(42, 150, 76, 184, 94, 202, 90, 198, 55, 163, 75, 183)(47, 155, 81, 189, 59, 167, 67, 175, 97, 205, 80, 188)(51, 159, 85, 193, 101, 209, 108, 216, 105, 213, 82, 190)(78, 186, 104, 212, 107, 215, 106, 214, 87, 195, 103, 211)(217, 325, 219, 327, 226, 334, 243, 351, 231, 339, 221, 329)(218, 326, 223, 331, 236, 344, 260, 368, 238, 346, 224, 332)(220, 328, 227, 335, 245, 353, 269, 377, 242, 350, 229, 337)(222, 330, 233, 341, 254, 362, 287, 395, 256, 364, 234, 342)(225, 333, 240, 348, 230, 338, 249, 357, 267, 375, 241, 349)(228, 336, 246, 354, 275, 383, 304, 412, 273, 381, 247, 355)(232, 340, 251, 359, 281, 389, 312, 420, 283, 391, 252, 360)(235, 343, 258, 366, 237, 345, 261, 369, 294, 402, 259, 367)(239, 347, 263, 371, 298, 406, 278, 386, 300, 408, 264, 372)(244, 352, 271, 379, 248, 356, 268, 376, 303, 411, 272, 380)(250, 358, 265, 373, 284, 392, 266, 374, 301, 409, 279, 387)(253, 361, 285, 393, 255, 363, 288, 396, 317, 425, 286, 394)(257, 365, 290, 398, 319, 427, 295, 403, 277, 385, 291, 399)(262, 370, 292, 400, 309, 417, 293, 401, 320, 428, 296, 404)(270, 378, 305, 413, 322, 430, 302, 410, 314, 422, 306, 414)(274, 382, 299, 407, 276, 384, 307, 415, 321, 429, 297, 405)(280, 388, 310, 418, 282, 390, 313, 421, 323, 431, 311, 419)(289, 397, 315, 423, 308, 416, 316, 424, 324, 432, 318, 426)
	L = (1, 220)(2, 217)(3, 224)(4, 228)(5, 230)(6, 218)(7, 234)(8, 237)(9, 219)(10, 241)(11, 221)(12, 232)(13, 248)(14, 250)(15, 236)(16, 222)(17, 252)(18, 255)(19, 223)(20, 259)(21, 262)(22, 254)(23, 225)(24, 264)(25, 266)(26, 226)(27, 269)(28, 227)(29, 272)(30, 229)(31, 276)(32, 277)(33, 231)(34, 270)(35, 247)(36, 282)(37, 233)(38, 286)(39, 289)(40, 281)(41, 235)(42, 291)(43, 293)(44, 243)(45, 238)(46, 239)(47, 296)(48, 299)(49, 240)(50, 302)(51, 298)(52, 242)(53, 304)(54, 244)(55, 306)(56, 290)(57, 245)(58, 246)(59, 297)(60, 300)(61, 308)(62, 249)(63, 288)(64, 251)(65, 311)(66, 314)(67, 275)(68, 253)(69, 265)(70, 316)(71, 260)(72, 256)(73, 257)(74, 318)(75, 271)(76, 258)(77, 278)(78, 319)(79, 261)(80, 313)(81, 263)(82, 321)(83, 315)(84, 309)(85, 267)(86, 268)(87, 322)(88, 312)(89, 279)(90, 310)(91, 273)(92, 274)(93, 280)(94, 292)(95, 305)(96, 287)(97, 283)(98, 284)(99, 285)(100, 295)(101, 301)(102, 307)(103, 303)(104, 294)(105, 324)(106, 323)(107, 320)(108, 317)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2327
Graph:: bipartite
	v = 36 e = 216 f = 126
	degree seq :: [ 12^36 ]

E28.2324 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 6})
Quotient :: dipole
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y3)^2, (R * Y1)^2, Y2^6, Y3 * Y2^-1 * Y3 * Y1^-1 * Y2 * Y1^-1, Y2 * Y3^2 * Y2^-1 * Y1^-2, Y2^2 * Y3 * Y2^2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3^2 * Y1^-1 * Y3 * Y1^-2, Y2^-1 * Y3^2 * Y2 * Y1^-2, Y1^6, Y2^2 * Y1 * Y2 * Y3 * Y1^-1 * Y2 * Y3^-1, Y1 * Y2^-1 * Y3 * Y2^-2 * R * Y2 * R, (Y1 * Y2^-1)^6 ]
Map::
	R = (1, 109, 2, 110, 6, 114, 18, 126, 13, 121, 4, 112)(3, 111, 9, 117, 27, 135, 46, 154, 19, 127, 11, 119)(5, 113, 15, 123, 36, 144, 47, 155, 20, 128, 16, 124)(7, 115, 21, 129, 12, 120, 34, 142, 43, 151, 23, 131)(8, 116, 24, 132, 14, 122, 37, 145, 44, 152, 25, 133)(10, 118, 30, 138, 45, 153, 38, 146, 58, 166, 26, 134)(17, 125, 35, 143, 48, 156, 22, 130, 51, 159, 42, 150)(28, 136, 59, 167, 32, 140, 66, 174, 41, 149, 60, 168)(29, 137, 61, 169, 33, 141, 67, 175, 76, 184, 62, 170)(31, 139, 65, 173, 83, 191, 68, 176, 75, 183, 63, 171)(39, 147, 72, 180, 40, 148, 74, 182, 77, 185, 73, 181)(49, 157, 78, 186, 53, 161, 85, 193, 57, 165, 79, 187)(50, 158, 80, 188, 54, 162, 86, 194, 69, 177, 81, 189)(52, 160, 84, 192, 70, 178, 87, 195, 64, 172, 82, 190)(55, 163, 88, 196, 56, 164, 90, 198, 71, 179, 89, 197)(91, 199, 101, 209, 93, 201, 103, 211, 97, 205, 107, 215)(92, 200, 106, 214, 94, 202, 100, 208, 98, 206, 102, 210)(95, 203, 105, 213, 96, 204, 108, 216, 99, 207, 104, 212)(217, 325, 219, 327, 226, 334, 247, 355, 233, 341, 221, 329)(218, 326, 223, 331, 238, 346, 268, 376, 242, 350, 224, 332)(220, 328, 228, 336, 251, 359, 286, 394, 254, 362, 230, 338)(222, 330, 235, 343, 261, 369, 291, 399, 264, 372, 236, 344)(225, 333, 244, 352, 263, 371, 293, 401, 279, 387, 245, 353)(227, 335, 248, 356, 231, 339, 255, 363, 284, 392, 249, 357)(229, 337, 243, 351, 274, 382, 299, 407, 267, 375, 252, 360)(232, 340, 256, 364, 281, 389, 292, 400, 262, 370, 257, 365)(234, 342, 259, 367, 258, 366, 280, 388, 246, 354, 260, 368)(237, 345, 265, 373, 253, 361, 287, 395, 298, 406, 266, 374)(239, 347, 269, 377, 240, 348, 271, 379, 303, 411, 270, 378)(241, 349, 272, 380, 300, 408, 285, 393, 250, 358, 273, 381)(275, 383, 307, 415, 283, 391, 315, 423, 290, 398, 308, 416)(276, 384, 309, 417, 277, 385, 311, 419, 288, 396, 310, 418)(278, 386, 312, 420, 289, 397, 314, 422, 282, 390, 313, 421)(294, 402, 316, 424, 302, 410, 324, 432, 306, 414, 317, 425)(295, 403, 318, 426, 296, 404, 320, 428, 304, 412, 319, 427)(297, 405, 321, 429, 305, 413, 323, 431, 301, 409, 322, 430)
	L = (1, 220)(2, 217)(3, 227)(4, 229)(5, 232)(6, 218)(7, 239)(8, 241)(9, 219)(10, 242)(11, 235)(12, 237)(13, 234)(14, 240)(15, 221)(16, 236)(17, 258)(18, 222)(19, 262)(20, 263)(21, 223)(22, 264)(23, 259)(24, 224)(25, 260)(26, 274)(27, 225)(28, 276)(29, 278)(30, 226)(31, 279)(32, 275)(33, 277)(34, 228)(35, 233)(36, 231)(37, 230)(38, 261)(39, 289)(40, 288)(41, 282)(42, 267)(43, 250)(44, 253)(45, 246)(46, 243)(47, 252)(48, 251)(49, 295)(50, 297)(51, 238)(52, 298)(53, 294)(54, 296)(55, 305)(56, 304)(57, 301)(58, 254)(59, 244)(60, 257)(61, 245)(62, 292)(63, 291)(64, 303)(65, 247)(66, 248)(67, 249)(68, 299)(69, 302)(70, 300)(71, 306)(72, 255)(73, 293)(74, 256)(75, 284)(76, 283)(77, 290)(78, 265)(79, 273)(80, 266)(81, 285)(82, 280)(83, 281)(84, 268)(85, 269)(86, 270)(87, 286)(88, 271)(89, 287)(90, 272)(91, 323)(92, 318)(93, 317)(94, 322)(95, 320)(96, 321)(97, 319)(98, 316)(99, 324)(100, 310)(101, 307)(102, 314)(103, 309)(104, 315)(105, 311)(106, 308)(107, 313)(108, 312)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2328
Graph:: bipartite
	v = 36 e = 216 f = 126
	degree seq :: [ 12^36 ]

E28.2325 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 6})
Quotient :: dipole
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y1 * R * Y3^-1 * R, Y2^-1 * Y3 * Y1^-1 * Y2 * Y1^-2, Y2^-1 * Y1^2 * Y2 * Y1 * Y3^-1, Y2^-1 * Y3 * Y2^-2 * Y1^-1 * Y2^-1, Y1 * Y2^-1 * Y3^-1 * Y1 * Y2 * Y3^-1, R * Y2 * Y1 * R * Y2 * Y3^-1, Y2^6, Y1^6, Y3^2 * Y1^-2 * Y3 * Y1^-1, Y2^-1 * Y1 * Y2^-1 * Y3 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y3 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2 * Y3 * Y2 * Y1 * Y2 ]
Map::
	R = (1, 109, 2, 110, 6, 114, 18, 126, 13, 121, 4, 112)(3, 111, 9, 117, 27, 135, 46, 154, 19, 127, 11, 119)(5, 113, 15, 123, 37, 145, 47, 155, 20, 128, 16, 124)(7, 115, 21, 129, 12, 120, 35, 143, 43, 151, 23, 131)(8, 116, 24, 132, 14, 122, 38, 146, 44, 152, 25, 133)(10, 118, 30, 138, 45, 153, 26, 134, 58, 166, 32, 140)(17, 125, 42, 150, 48, 156, 36, 144, 52, 160, 22, 130)(28, 136, 59, 167, 33, 141, 68, 176, 40, 148, 60, 168)(29, 137, 61, 169, 34, 142, 69, 177, 76, 184, 62, 170)(31, 139, 65, 173, 85, 193, 63, 171, 75, 183, 66, 174)(39, 147, 72, 180, 41, 149, 74, 182, 77, 185, 73, 181)(49, 157, 78, 186, 53, 161, 86, 194, 56, 164, 79, 187)(50, 158, 80, 188, 54, 162, 87, 195, 70, 178, 81, 189)(51, 159, 83, 191, 64, 172, 82, 190, 67, 175, 84, 192)(55, 163, 88, 196, 57, 165, 90, 198, 71, 179, 89, 197)(91, 199, 107, 215, 93, 201, 101, 209, 96, 204, 103, 211)(92, 200, 100, 208, 94, 202, 102, 210, 98, 206, 105, 213)(95, 203, 106, 214, 97, 205, 108, 216, 99, 207, 104, 212)(217, 325, 219, 327, 226, 334, 247, 355, 233, 341, 221, 329)(218, 326, 223, 331, 238, 346, 267, 375, 242, 350, 224, 332)(220, 328, 228, 336, 252, 360, 280, 388, 246, 354, 230, 338)(222, 330, 235, 343, 261, 369, 291, 399, 264, 372, 236, 344)(225, 333, 244, 352, 232, 340, 257, 365, 279, 387, 245, 353)(227, 335, 249, 357, 263, 371, 293, 401, 281, 389, 250, 358)(229, 337, 243, 351, 274, 382, 301, 409, 268, 376, 253, 361)(231, 339, 255, 363, 282, 390, 292, 400, 262, 370, 256, 364)(234, 342, 259, 367, 258, 366, 283, 391, 248, 356, 260, 368)(237, 345, 265, 373, 241, 349, 273, 381, 298, 406, 266, 374)(239, 347, 269, 377, 254, 362, 287, 395, 299, 407, 270, 378)(240, 348, 271, 379, 300, 408, 286, 394, 251, 359, 272, 380)(275, 383, 307, 415, 278, 386, 313, 421, 289, 397, 308, 416)(276, 384, 309, 417, 285, 393, 315, 423, 290, 398, 310, 418)(277, 385, 311, 419, 288, 396, 314, 422, 284, 392, 312, 420)(294, 402, 316, 424, 297, 405, 322, 430, 305, 413, 317, 425)(295, 403, 318, 426, 303, 411, 324, 432, 306, 414, 319, 427)(296, 404, 320, 428, 304, 412, 323, 431, 302, 410, 321, 429)
	L = (1, 220)(2, 217)(3, 227)(4, 229)(5, 232)(6, 218)(7, 239)(8, 241)(9, 219)(10, 248)(11, 235)(12, 237)(13, 234)(14, 240)(15, 221)(16, 236)(17, 238)(18, 222)(19, 262)(20, 263)(21, 223)(22, 268)(23, 259)(24, 224)(25, 260)(26, 261)(27, 225)(28, 276)(29, 278)(30, 226)(31, 282)(32, 274)(33, 275)(34, 277)(35, 228)(36, 264)(37, 231)(38, 230)(39, 289)(40, 284)(41, 288)(42, 233)(43, 251)(44, 254)(45, 246)(46, 243)(47, 253)(48, 258)(49, 295)(50, 297)(51, 300)(52, 252)(53, 294)(54, 296)(55, 305)(56, 302)(57, 304)(58, 242)(59, 244)(60, 256)(61, 245)(62, 292)(63, 301)(64, 299)(65, 247)(66, 291)(67, 298)(68, 249)(69, 250)(70, 303)(71, 306)(72, 255)(73, 293)(74, 257)(75, 279)(76, 285)(77, 290)(78, 265)(79, 272)(80, 266)(81, 286)(82, 280)(83, 267)(84, 283)(85, 281)(86, 269)(87, 270)(88, 271)(89, 287)(90, 273)(91, 319)(92, 321)(93, 323)(94, 316)(95, 320)(96, 317)(97, 322)(98, 318)(99, 324)(100, 308)(101, 309)(102, 310)(103, 312)(104, 315)(105, 314)(106, 311)(107, 307)(108, 313)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2329
Graph:: bipartite
	v = 36 e = 216 f = 126
	degree seq :: [ 12^36 ]

E28.2326 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 6})
Quotient :: dipole
Aut^+ = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^6, Y2^6, Y3 * Y2^2 * Y3 * Y2^-1 * Y3^2 * Y2^-1, Y3 * Y2 * Y3^2 * Y2 * Y3 * Y2^-2, Y3^3 * Y2 * Y3^3 * Y2^-1, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y3^2 * Y2 * Y3 * Y2 * Y3^-1 * Y2^-2, (Y3 * Y2^-3)^2, Y3^-1 * Y2^2 * Y3^2 * Y2^-1 * Y3 * Y2^-1, Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3 * Y2^-1, Y3^-2 * Y2 * Y3^-1 * Y2 * Y3 * Y2^-2, (Y3^-1 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)(217, 325, 218, 326, 222, 330, 234, 342, 229, 337, 220, 328)(219, 327, 225, 333, 243, 351, 269, 377, 250, 358, 227, 335)(221, 329, 231, 339, 260, 368, 268, 376, 264, 372, 232, 340)(223, 331, 237, 345, 276, 384, 256, 364, 283, 391, 239, 347)(224, 332, 240, 348, 285, 393, 255, 363, 289, 397, 241, 349)(226, 334, 246, 354, 286, 394, 307, 415, 296, 404, 248, 356)(228, 336, 252, 360, 274, 382, 236, 344, 273, 381, 254, 362)(230, 338, 257, 365, 272, 380, 235, 343, 270, 378, 258, 366)(233, 341, 266, 374, 278, 386, 306, 414, 304, 412, 267, 375)(238, 346, 279, 387, 312, 420, 305, 413, 263, 371, 281, 389)(242, 350, 291, 399, 309, 417, 301, 409, 251, 359, 292, 400)(244, 352, 287, 395, 308, 416, 300, 408, 265, 373, 282, 390)(245, 353, 271, 379, 310, 418, 299, 407, 259, 367, 288, 396)(247, 355, 280, 388, 311, 419, 322, 430, 319, 427, 295, 403)(249, 357, 290, 398, 262, 370, 277, 385, 313, 421, 298, 406)(253, 361, 284, 392, 261, 369, 275, 383, 314, 422, 303, 411)(293, 401, 316, 424, 323, 431, 321, 429, 297, 405, 318, 426)(294, 402, 315, 423, 324, 432, 320, 428, 302, 410, 317, 425)
	L = (1, 219)(2, 223)(3, 226)(4, 228)(5, 217)(6, 235)(7, 238)(8, 218)(9, 244)(10, 247)(11, 249)(12, 253)(13, 255)(14, 220)(15, 261)(16, 263)(17, 221)(18, 268)(19, 271)(20, 222)(21, 277)(22, 280)(23, 282)(24, 286)(25, 288)(26, 224)(27, 291)(28, 274)(29, 225)(30, 272)(31, 233)(32, 289)(33, 283)(34, 299)(35, 227)(36, 290)(37, 295)(38, 300)(39, 301)(40, 229)(41, 292)(42, 296)(43, 230)(44, 287)(45, 294)(46, 231)(47, 297)(48, 298)(49, 232)(50, 293)(51, 302)(52, 306)(53, 234)(54, 308)(55, 311)(56, 262)(57, 312)(58, 266)(59, 236)(60, 314)(61, 243)(62, 237)(63, 260)(64, 242)(65, 252)(66, 257)(67, 267)(68, 239)(69, 313)(70, 316)(71, 240)(72, 317)(73, 265)(74, 241)(75, 315)(76, 318)(77, 245)(78, 246)(79, 259)(80, 320)(81, 248)(82, 258)(83, 321)(84, 250)(85, 319)(86, 251)(87, 264)(88, 254)(89, 256)(90, 322)(91, 269)(92, 276)(93, 270)(94, 285)(95, 275)(96, 324)(97, 273)(98, 323)(99, 278)(100, 279)(101, 281)(102, 284)(103, 305)(104, 303)(105, 304)(106, 307)(107, 309)(108, 310)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 12, 12 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2322
Graph:: simple bipartite
	v = 126 e = 216 f = 36
	degree seq :: [ 2^108, 12^18 ]

E28.2327 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 6})
Quotient :: dipole
Aut^+ = C2 x (((C3 x C3) : C3) : C2) (small group id <108, 25>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y3^-1 * Y2^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y3^2 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y3^-2)^2, Y2^6, Y3^6, Y2^-2 * Y3 * Y2^-2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1, Y2^-1 * Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-1 * Y2^-2 * Y3^-2 * Y2^-1, Y3^-1 * Y2 * Y3^-1 * Y2^-3 * Y3 * Y2^-3 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)(217, 325, 218, 326, 222, 330, 232, 340, 229, 337, 220, 328)(219, 327, 225, 333, 239, 347, 263, 371, 244, 352, 227, 335)(221, 329, 230, 338, 249, 357, 260, 368, 236, 344, 223, 331)(224, 332, 237, 345, 261, 369, 287, 395, 254, 362, 233, 341)(226, 334, 241, 349, 268, 376, 296, 404, 262, 370, 238, 346)(228, 336, 245, 353, 273, 381, 306, 414, 276, 384, 247, 355)(231, 339, 246, 354, 275, 383, 308, 416, 279, 387, 250, 358)(234, 342, 255, 363, 288, 396, 312, 420, 281, 389, 251, 359)(235, 343, 257, 365, 290, 398, 318, 426, 289, 397, 256, 364)(240, 348, 266, 374, 300, 408, 317, 425, 295, 403, 264, 372)(242, 350, 258, 366, 285, 393, 310, 418, 301, 409, 267, 375)(243, 351, 270, 378, 286, 394, 316, 424, 305, 413, 271, 379)(248, 356, 252, 360, 282, 390, 313, 421, 303, 411, 277, 385)(253, 361, 284, 392, 272, 380, 298, 406, 314, 422, 283, 391)(259, 367, 292, 400, 311, 419, 297, 405, 265, 373, 293, 401)(269, 377, 304, 412, 315, 423, 324, 432, 322, 430, 302, 410)(274, 382, 280, 388, 309, 417, 294, 402, 278, 386, 307, 415)(291, 399, 320, 428, 323, 431, 321, 429, 299, 407, 319, 427)
	L = (1, 219)(2, 223)(3, 226)(4, 228)(5, 217)(6, 233)(7, 235)(8, 218)(9, 220)(10, 242)(11, 243)(12, 246)(13, 248)(14, 250)(15, 221)(16, 251)(17, 253)(18, 222)(19, 258)(20, 259)(21, 262)(22, 224)(23, 264)(24, 225)(25, 227)(26, 231)(27, 230)(28, 272)(29, 229)(30, 267)(31, 265)(32, 266)(33, 271)(34, 269)(35, 280)(36, 232)(37, 285)(38, 286)(39, 289)(40, 234)(41, 236)(42, 238)(43, 237)(44, 294)(45, 293)(46, 291)(47, 297)(48, 299)(49, 239)(50, 301)(51, 240)(52, 302)(53, 241)(54, 244)(55, 303)(56, 304)(57, 307)(58, 245)(59, 247)(60, 290)(61, 305)(62, 249)(63, 288)(64, 310)(65, 311)(66, 314)(67, 252)(68, 254)(69, 256)(70, 255)(71, 317)(72, 270)(73, 315)(74, 319)(75, 257)(76, 260)(77, 276)(78, 320)(79, 261)(80, 313)(81, 312)(82, 263)(83, 275)(84, 277)(85, 274)(86, 278)(87, 268)(88, 279)(89, 273)(90, 316)(91, 322)(92, 321)(93, 281)(94, 283)(95, 282)(96, 308)(97, 292)(98, 323)(99, 284)(100, 287)(101, 324)(102, 306)(103, 295)(104, 296)(105, 298)(106, 300)(107, 309)(108, 318)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 12, 12 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2323
Graph:: simple bipartite
	v = 126 e = 216 f = 36
	degree seq :: [ 2^108, 12^18 ]

E28.2328 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 6})
Quotient :: dipole
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^6, Y3^-2 * Y2^2 * Y3 * Y2 * Y3^-1 * Y2^-1, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y3^3 * Y2^-1 * Y3^-3 * Y2^-1, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2 * Y3^2 * Y2^-1, Y3 * Y2^-1 * Y3^-1 * Y2 * Y3^-2 * Y2^-2, Y3^2 * Y2^-1 * Y3 * Y2^-2 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)(217, 325, 218, 326, 222, 330, 234, 342, 229, 337, 220, 328)(219, 327, 225, 333, 243, 351, 269, 377, 250, 358, 227, 335)(221, 329, 231, 339, 260, 368, 268, 376, 264, 372, 232, 340)(223, 331, 237, 345, 276, 384, 256, 364, 283, 391, 239, 347)(224, 332, 240, 348, 285, 393, 255, 363, 289, 397, 241, 349)(226, 334, 246, 354, 288, 396, 307, 415, 300, 408, 248, 356)(228, 336, 252, 360, 274, 382, 236, 344, 273, 381, 254, 362)(230, 338, 257, 365, 272, 380, 235, 343, 270, 378, 258, 366)(233, 341, 266, 374, 284, 392, 306, 414, 303, 411, 267, 375)(238, 346, 279, 387, 312, 420, 305, 413, 261, 369, 281, 389)(242, 350, 291, 399, 311, 419, 296, 404, 245, 353, 292, 400)(244, 352, 287, 395, 265, 373, 282, 390, 313, 421, 295, 403)(247, 355, 299, 407, 320, 428, 322, 430, 309, 417, 280, 388)(249, 357, 290, 398, 310, 418, 294, 402, 262, 370, 277, 385)(251, 359, 271, 379, 308, 416, 293, 401, 259, 367, 286, 394)(253, 361, 278, 386, 263, 371, 275, 383, 314, 422, 304, 412)(297, 405, 321, 429, 323, 431, 318, 426, 298, 406, 317, 425)(301, 409, 319, 427, 324, 432, 316, 424, 302, 410, 315, 423)
	L = (1, 219)(2, 223)(3, 226)(4, 228)(5, 217)(6, 235)(7, 238)(8, 218)(9, 244)(10, 247)(11, 249)(12, 253)(13, 255)(14, 220)(15, 261)(16, 263)(17, 221)(18, 268)(19, 271)(20, 222)(21, 277)(22, 280)(23, 282)(24, 286)(25, 288)(26, 224)(27, 293)(28, 276)(29, 225)(30, 270)(31, 233)(32, 285)(33, 273)(34, 291)(35, 227)(36, 294)(37, 299)(38, 287)(39, 296)(40, 229)(41, 300)(42, 292)(43, 230)(44, 295)(45, 301)(46, 231)(47, 298)(48, 290)(49, 232)(50, 302)(51, 297)(52, 306)(53, 234)(54, 265)(55, 309)(56, 310)(57, 266)(58, 312)(59, 236)(60, 267)(61, 258)(62, 237)(63, 264)(64, 242)(65, 254)(66, 250)(67, 314)(68, 239)(69, 262)(70, 317)(71, 240)(72, 316)(73, 313)(74, 241)(75, 318)(76, 315)(77, 319)(78, 243)(79, 257)(80, 320)(81, 245)(82, 246)(83, 259)(84, 321)(85, 248)(86, 251)(87, 252)(88, 260)(89, 256)(90, 322)(91, 269)(92, 289)(93, 275)(94, 283)(95, 272)(96, 323)(97, 274)(98, 324)(99, 278)(100, 279)(101, 281)(102, 284)(103, 303)(104, 305)(105, 304)(106, 307)(107, 308)(108, 311)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 12, 12 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2324
Graph:: simple bipartite
	v = 126 e = 216 f = 36
	degree seq :: [ 2^108, 12^18 ]

E28.2329 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 6})
Quotient :: dipole
Aut^+ = (((C3 x C3) : C3) : C2) : C2 (small group id <108, 17>)
Aut   = C2 x ((((C3 x C3) : C3) : C2) : C2) (small group id <216, 102>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y2^-1 * Y3^-1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^6, Y3^6, Y3 * Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-2, Y2^-1 * Y3^-2 * Y2^3 * Y3^-1 * Y2 * Y3 * Y2^-1, Y2^-1 * Y3^-1 * Y2^2 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y3 * Y2^-1 * Y3^-1 * Y2 * Y3^2 * Y2^-1 * Y3^-2 * Y2^-1, (Y3^-1 * Y1^-1)^6, (Y3^-1 * Y2)^6 ]
Map:: polytopal
	R = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)(217, 325, 218, 326, 222, 330, 232, 340, 229, 337, 220, 328)(219, 327, 225, 333, 239, 347, 269, 377, 245, 353, 227, 335)(221, 329, 230, 338, 250, 358, 264, 372, 236, 344, 223, 331)(224, 332, 237, 345, 265, 373, 300, 408, 257, 365, 233, 341)(226, 334, 241, 349, 274, 382, 295, 403, 278, 386, 243, 351)(228, 336, 246, 354, 281, 389, 319, 427, 285, 393, 248, 356)(231, 339, 253, 361, 291, 399, 292, 400, 290, 398, 251, 359)(234, 342, 258, 366, 301, 409, 321, 429, 293, 401, 254, 362)(235, 343, 260, 368, 304, 412, 282, 390, 308, 416, 262, 370)(238, 346, 268, 376, 314, 422, 286, 394, 313, 421, 266, 374)(240, 348, 272, 380, 298, 406, 256, 364, 296, 404, 270, 378)(242, 350, 276, 384, 318, 426, 324, 432, 297, 405, 277, 385)(244, 352, 279, 387, 299, 407, 288, 396, 252, 360, 280, 388)(247, 355, 283, 391, 302, 410, 259, 367, 303, 411, 284, 392)(249, 357, 255, 363, 294, 402, 322, 430, 316, 424, 287, 395)(261, 369, 306, 414, 273, 381, 317, 425, 320, 428, 307, 415)(263, 371, 309, 417, 271, 379, 311, 419, 267, 375, 310, 418)(275, 383, 312, 420, 289, 397, 315, 423, 323, 431, 305, 413)
	L = (1, 219)(2, 223)(3, 226)(4, 228)(5, 217)(6, 233)(7, 235)(8, 218)(9, 220)(10, 242)(11, 244)(12, 247)(13, 249)(14, 251)(15, 221)(16, 254)(17, 256)(18, 222)(19, 261)(20, 263)(21, 266)(22, 224)(23, 270)(24, 225)(25, 227)(26, 231)(27, 265)(28, 258)(29, 268)(30, 229)(31, 273)(32, 267)(33, 286)(34, 288)(35, 289)(36, 230)(37, 277)(38, 292)(39, 232)(40, 297)(41, 299)(42, 302)(43, 234)(44, 236)(45, 238)(46, 301)(47, 294)(48, 303)(49, 311)(50, 312)(51, 237)(52, 307)(53, 309)(54, 315)(55, 239)(56, 306)(57, 240)(58, 305)(59, 241)(60, 243)(61, 298)(62, 317)(63, 245)(64, 316)(65, 304)(66, 246)(67, 248)(68, 250)(69, 253)(70, 318)(71, 252)(72, 300)(73, 313)(74, 293)(75, 319)(76, 320)(77, 271)(78, 274)(79, 255)(80, 257)(81, 259)(82, 322)(83, 281)(84, 278)(85, 280)(86, 275)(87, 324)(88, 323)(89, 260)(90, 262)(91, 291)(92, 276)(93, 264)(94, 285)(95, 321)(96, 283)(97, 287)(98, 269)(99, 290)(100, 272)(101, 284)(102, 282)(103, 279)(104, 295)(105, 308)(106, 310)(107, 296)(108, 314)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 12, 12 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2325
Graph:: simple bipartite
	v = 126 e = 216 f = 36
	degree seq :: [ 2^108, 12^18 ]

E28.2330 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 6, 6})
Quotient :: edge
Aut^+ = C3 x S3 x S3 (small group id <108, 38>)
Aut   = S3 x S3 x S3 (small group id <216, 162>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2^-1 * T1^-2 * T2 * T1^-1, T2^6, T1^6, (T2^-2 * T1 * T2^-1)^2, T2^-1 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1, (T2^-3 * T1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 31, 17, 5)(2, 7, 22, 55, 26, 8)(4, 12, 36, 72, 39, 14)(6, 19, 48, 85, 51, 20)(9, 28, 66, 45, 69, 29)(11, 33, 75, 44, 76, 34)(13, 27, 65, 99, 79, 37)(15, 40, 74, 32, 73, 41)(16, 42, 71, 30, 70, 43)(18, 46, 82, 104, 83, 47)(21, 52, 91, 64, 92, 53)(23, 57, 97, 63, 98, 58)(24, 59, 96, 56, 95, 60)(25, 61, 94, 54, 93, 62)(35, 67, 101, 81, 103, 77)(38, 68, 102, 78, 100, 80)(49, 86, 107, 90, 108, 87)(50, 88, 106, 84, 105, 89)(109, 110, 114, 126, 121, 112)(111, 117, 135, 157, 127, 119)(113, 123, 145, 158, 128, 124)(115, 129, 120, 143, 154, 131)(116, 132, 122, 146, 155, 133)(118, 138, 156, 192, 173, 140)(125, 152, 159, 198, 187, 153)(130, 162, 190, 186, 144, 164)(134, 171, 191, 189, 147, 172)(136, 160, 141, 165, 194, 175)(137, 167, 142, 169, 195, 176)(139, 180, 207, 212, 193, 163)(148, 161, 150, 166, 196, 185)(149, 168, 151, 170, 197, 188)(174, 208, 215, 201, 183, 203)(177, 211, 216, 206, 184, 200)(178, 199, 181, 209, 213, 205)(179, 204, 182, 210, 214, 202)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2335
Transitivity :: ET+
Graph:: simple bipartite
	v = 36 e = 108 f = 18
	degree seq :: [ 6^36 ]

E28.2331 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 6, 6})
Quotient :: edge
Aut^+ = C3 x S3 x S3 (small group id <108, 38>)
Aut   = S3 x S3 x S3 (small group id <216, 162>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-1 * T1^-2 * T2 * T1^-2, T1^6, T2^6, T2^2 * T1 * T2^-2 * T1^-1, (T2^-1 * T1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 30, 17, 5)(2, 7, 22, 48, 26, 8)(4, 12, 31, 60, 37, 14)(6, 19, 42, 72, 45, 20)(9, 28, 55, 38, 15, 29)(11, 32, 59, 39, 16, 33)(13, 27, 53, 87, 65, 35)(18, 40, 70, 98, 71, 41)(21, 46, 77, 51, 24, 47)(23, 49, 81, 52, 25, 50)(34, 63, 94, 66, 36, 64)(43, 73, 99, 75, 44, 74)(54, 88, 67, 92, 57, 89)(56, 90, 68, 93, 58, 91)(61, 95, 69, 97, 62, 96)(76, 100, 84, 104, 79, 101)(78, 102, 85, 105, 80, 103)(82, 106, 86, 108, 83, 107)(109, 110, 114, 126, 121, 112)(111, 117, 135, 151, 127, 119)(113, 123, 143, 152, 128, 124)(115, 129, 120, 142, 148, 131)(116, 132, 122, 144, 149, 133)(118, 130, 150, 178, 161, 139)(125, 134, 153, 179, 173, 145)(136, 162, 140, 169, 181, 164)(137, 165, 141, 170, 182, 166)(138, 163, 195, 207, 180, 167)(146, 175, 147, 177, 183, 176)(154, 184, 157, 190, 171, 186)(155, 187, 158, 191, 172, 188)(156, 185, 168, 202, 206, 189)(159, 192, 160, 194, 174, 193)(196, 210, 198, 214, 203, 208)(197, 211, 199, 215, 204, 209)(200, 213, 201, 216, 205, 212)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2334
Transitivity :: ET+
Graph:: simple bipartite
	v = 36 e = 108 f = 18
	degree seq :: [ 6^36 ]

E28.2332 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 6, 6})
Quotient :: edge
Aut^+ = C3 x S3 x S3 (small group id <108, 38>)
Aut   = S3 x S3 x S3 (small group id <216, 162>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^2 * T1 * T2^-2 * T1^-1, (T2^-1 * T1^-2)^2, T2^6, T1^6, T2^2 * T1^-1 * T2 * T1^-2 * T2 * T1^-1, (T2^-1 * T1 * T2 * T1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 30, 17, 5)(2, 7, 22, 52, 26, 8)(4, 12, 31, 56, 39, 14)(6, 19, 45, 33, 49, 20)(9, 28, 62, 41, 15, 29)(11, 32, 47, 42, 16, 34)(13, 37, 66, 40, 60, 27)(18, 43, 75, 54, 78, 44)(21, 50, 36, 57, 24, 51)(23, 53, 77, 58, 25, 55)(35, 70, 76, 72, 38, 71)(46, 79, 59, 81, 48, 80)(61, 91, 68, 95, 64, 92)(63, 93, 73, 96, 65, 94)(67, 97, 74, 99, 69, 98)(82, 100, 87, 104, 84, 101)(83, 102, 89, 105, 85, 103)(86, 106, 90, 108, 88, 107)(109, 110, 114, 126, 121, 112)(111, 117, 135, 167, 141, 119)(113, 123, 148, 154, 127, 124)(115, 129, 122, 146, 162, 131)(116, 132, 164, 184, 151, 133)(118, 130, 153, 183, 174, 139)(120, 143, 152, 185, 160, 144)(125, 134, 157, 186, 168, 147)(128, 155, 138, 170, 145, 156)(136, 169, 142, 177, 188, 171)(137, 172, 150, 182, 189, 173)(140, 175, 187, 181, 149, 176)(158, 190, 163, 196, 178, 191)(159, 192, 166, 198, 179, 193)(161, 194, 180, 197, 165, 195)(199, 213, 202, 215, 205, 209)(200, 210, 204, 216, 206, 212)(201, 214, 207, 208, 203, 211)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2337
Transitivity :: ET+
Graph:: simple bipartite
	v = 36 e = 108 f = 18
	degree seq :: [ 6^36 ]

E28.2333 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 6, 6})
Quotient :: edge
Aut^+ = C3 x S3 x S3 (small group id <108, 38>)
Aut   = S3 x S3 x S3 (small group id <216, 162>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-2 * T1^-1 * T2^2 * T1, T2^6, (T2 * T1^-2)^2, T1^6, T2^3 * T1^2 * T2 * T1^2, T2 * T1 * T2 * T1^-2 * T2^-1 * T1^3 * T2, (T2^-1 * T1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 30, 17, 5)(2, 7, 22, 53, 26, 8)(4, 12, 31, 50, 39, 14)(6, 19, 46, 41, 49, 20)(9, 28, 62, 40, 15, 29)(11, 32, 45, 42, 16, 33)(13, 35, 60, 27, 59, 36)(18, 43, 76, 57, 78, 44)(21, 51, 38, 56, 24, 52)(23, 54, 75, 58, 25, 55)(34, 69, 77, 72, 37, 70)(47, 79, 71, 81, 48, 80)(61, 91, 68, 95, 64, 92)(63, 93, 73, 96, 65, 94)(66, 97, 74, 99, 67, 98)(82, 100, 88, 104, 84, 101)(83, 102, 89, 105, 85, 103)(86, 106, 90, 108, 87, 107)(109, 110, 114, 126, 121, 112)(111, 117, 135, 156, 128, 119)(113, 123, 143, 179, 149, 124)(115, 129, 158, 185, 152, 131)(116, 132, 120, 142, 165, 133)(118, 130, 154, 184, 168, 139)(122, 145, 151, 183, 161, 146)(125, 134, 157, 186, 167, 147)(127, 153, 138, 170, 144, 155)(136, 169, 150, 182, 189, 171)(137, 172, 140, 174, 187, 173)(141, 175, 188, 181, 148, 176)(159, 190, 166, 198, 177, 191)(160, 192, 162, 194, 178, 193)(163, 195, 180, 197, 164, 196)(199, 211, 204, 216, 205, 212)(200, 213, 201, 214, 206, 208)(202, 215, 207, 209, 203, 210)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2336
Transitivity :: ET+
Graph:: simple bipartite
	v = 36 e = 108 f = 18
	degree seq :: [ 6^36 ]

E28.2334 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 6, 6})
Quotient :: loop
Aut^+ = C3 x S3 x S3 (small group id <108, 38>)
Aut   = S3 x S3 x S3 (small group id <216, 162>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2^-1 * T1^-2 * T2 * T1^-1, T2^6, T1^6, (T2^-2 * T1 * T2^-1)^2, T2^-1 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1, (T2^-3 * T1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 109, 3, 111, 10, 118, 31, 139, 17, 125, 5, 113)(2, 110, 7, 115, 22, 130, 55, 163, 26, 134, 8, 116)(4, 112, 12, 120, 36, 144, 72, 180, 39, 147, 14, 122)(6, 114, 19, 127, 48, 156, 85, 193, 51, 159, 20, 128)(9, 117, 28, 136, 66, 174, 45, 153, 69, 177, 29, 137)(11, 119, 33, 141, 75, 183, 44, 152, 76, 184, 34, 142)(13, 121, 27, 135, 65, 173, 99, 207, 79, 187, 37, 145)(15, 123, 40, 148, 74, 182, 32, 140, 73, 181, 41, 149)(16, 124, 42, 150, 71, 179, 30, 138, 70, 178, 43, 151)(18, 126, 46, 154, 82, 190, 104, 212, 83, 191, 47, 155)(21, 129, 52, 160, 91, 199, 64, 172, 92, 200, 53, 161)(23, 131, 57, 165, 97, 205, 63, 171, 98, 206, 58, 166)(24, 132, 59, 167, 96, 204, 56, 164, 95, 203, 60, 168)(25, 133, 61, 169, 94, 202, 54, 162, 93, 201, 62, 170)(35, 143, 67, 175, 101, 209, 81, 189, 103, 211, 77, 185)(38, 146, 68, 176, 102, 210, 78, 186, 100, 208, 80, 188)(49, 157, 86, 194, 107, 215, 90, 198, 108, 216, 87, 195)(50, 158, 88, 196, 106, 214, 84, 192, 105, 213, 89, 197)
	L = (1, 110)(2, 114)(3, 117)(4, 109)(5, 123)(6, 126)(7, 129)(8, 132)(9, 135)(10, 138)(11, 111)(12, 143)(13, 112)(14, 146)(15, 145)(16, 113)(17, 152)(18, 121)(19, 119)(20, 124)(21, 120)(22, 162)(23, 115)(24, 122)(25, 116)(26, 171)(27, 157)(28, 160)(29, 167)(30, 156)(31, 180)(32, 118)(33, 165)(34, 169)(35, 154)(36, 164)(37, 158)(38, 155)(39, 172)(40, 161)(41, 168)(42, 166)(43, 170)(44, 159)(45, 125)(46, 131)(47, 133)(48, 192)(49, 127)(50, 128)(51, 198)(52, 141)(53, 150)(54, 190)(55, 139)(56, 130)(57, 194)(58, 196)(59, 142)(60, 151)(61, 195)(62, 197)(63, 191)(64, 134)(65, 140)(66, 208)(67, 136)(68, 137)(69, 211)(70, 199)(71, 204)(72, 207)(73, 209)(74, 210)(75, 203)(76, 200)(77, 148)(78, 144)(79, 153)(80, 149)(81, 147)(82, 186)(83, 189)(84, 173)(85, 163)(86, 175)(87, 176)(88, 185)(89, 188)(90, 187)(91, 181)(92, 177)(93, 183)(94, 179)(95, 174)(96, 182)(97, 178)(98, 184)(99, 212)(100, 215)(101, 213)(102, 214)(103, 216)(104, 193)(105, 205)(106, 202)(107, 201)(108, 206)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2331
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 12^18 ]

E28.2335 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 6, 6})
Quotient :: loop
Aut^+ = C3 x S3 x S3 (small group id <108, 38>)
Aut   = S3 x S3 x S3 (small group id <216, 162>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-1 * T1^-2 * T2 * T1^-2, T1^6, T2^6, T2^2 * T1 * T2^-2 * T1^-1, (T2^-1 * T1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 109, 3, 111, 10, 118, 30, 138, 17, 125, 5, 113)(2, 110, 7, 115, 22, 130, 48, 156, 26, 134, 8, 116)(4, 112, 12, 120, 31, 139, 60, 168, 37, 145, 14, 122)(6, 114, 19, 127, 42, 150, 72, 180, 45, 153, 20, 128)(9, 117, 28, 136, 55, 163, 38, 146, 15, 123, 29, 137)(11, 119, 32, 140, 59, 167, 39, 147, 16, 124, 33, 141)(13, 121, 27, 135, 53, 161, 87, 195, 65, 173, 35, 143)(18, 126, 40, 148, 70, 178, 98, 206, 71, 179, 41, 149)(21, 129, 46, 154, 77, 185, 51, 159, 24, 132, 47, 155)(23, 131, 49, 157, 81, 189, 52, 160, 25, 133, 50, 158)(34, 142, 63, 171, 94, 202, 66, 174, 36, 144, 64, 172)(43, 151, 73, 181, 99, 207, 75, 183, 44, 152, 74, 182)(54, 162, 88, 196, 67, 175, 92, 200, 57, 165, 89, 197)(56, 164, 90, 198, 68, 176, 93, 201, 58, 166, 91, 199)(61, 169, 95, 203, 69, 177, 97, 205, 62, 170, 96, 204)(76, 184, 100, 208, 84, 192, 104, 212, 79, 187, 101, 209)(78, 186, 102, 210, 85, 193, 105, 213, 80, 188, 103, 211)(82, 190, 106, 214, 86, 194, 108, 216, 83, 191, 107, 215)
	L = (1, 110)(2, 114)(3, 117)(4, 109)(5, 123)(6, 126)(7, 129)(8, 132)(9, 135)(10, 130)(11, 111)(12, 142)(13, 112)(14, 144)(15, 143)(16, 113)(17, 134)(18, 121)(19, 119)(20, 124)(21, 120)(22, 150)(23, 115)(24, 122)(25, 116)(26, 153)(27, 151)(28, 162)(29, 165)(30, 163)(31, 118)(32, 169)(33, 170)(34, 148)(35, 152)(36, 149)(37, 125)(38, 175)(39, 177)(40, 131)(41, 133)(42, 178)(43, 127)(44, 128)(45, 179)(46, 184)(47, 187)(48, 185)(49, 190)(50, 191)(51, 192)(52, 194)(53, 139)(54, 140)(55, 195)(56, 136)(57, 141)(58, 137)(59, 138)(60, 202)(61, 181)(62, 182)(63, 186)(64, 188)(65, 145)(66, 193)(67, 147)(68, 146)(69, 183)(70, 161)(71, 173)(72, 167)(73, 164)(74, 166)(75, 176)(76, 157)(77, 168)(78, 154)(79, 158)(80, 155)(81, 156)(82, 171)(83, 172)(84, 160)(85, 159)(86, 174)(87, 207)(88, 210)(89, 211)(90, 214)(91, 215)(92, 213)(93, 216)(94, 206)(95, 208)(96, 209)(97, 212)(98, 189)(99, 180)(100, 196)(101, 197)(102, 198)(103, 199)(104, 200)(105, 201)(106, 203)(107, 204)(108, 205)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2330
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 12^18 ]

E28.2336 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 6, 6})
Quotient :: loop
Aut^+ = C3 x S3 x S3 (small group id <108, 38>)
Aut   = S3 x S3 x S3 (small group id <216, 162>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-1 * T1^-1 * T2^-2 * T1 * T2^-1, T1^6, T2^6, (T1^-2 * T2 * T1^-1)^2, T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-1, (T1^-2 * T2^-1 * T1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 109, 3, 111, 10, 118, 30, 138, 17, 125, 5, 113)(2, 110, 7, 115, 22, 130, 57, 165, 26, 134, 8, 116)(4, 112, 12, 120, 36, 144, 72, 180, 31, 139, 14, 122)(6, 114, 19, 127, 49, 157, 86, 194, 53, 161, 20, 128)(9, 117, 28, 136, 15, 123, 43, 151, 69, 177, 29, 137)(11, 119, 32, 140, 16, 124, 44, 152, 70, 178, 34, 142)(13, 121, 38, 146, 71, 179, 102, 210, 78, 186, 39, 147)(18, 126, 46, 154, 82, 190, 104, 212, 83, 191, 47, 155)(21, 129, 55, 163, 24, 132, 62, 170, 93, 201, 56, 164)(23, 131, 58, 166, 25, 133, 63, 171, 94, 202, 60, 168)(27, 135, 65, 173, 99, 207, 80, 188, 42, 150, 66, 174)(33, 141, 74, 182, 101, 209, 81, 189, 45, 153, 75, 183)(35, 143, 67, 175, 40, 148, 68, 176, 100, 208, 77, 185)(37, 145, 73, 181, 41, 149, 76, 184, 103, 211, 79, 187)(48, 156, 84, 192, 51, 159, 89, 197, 105, 213, 85, 193)(50, 158, 87, 195, 52, 160, 90, 198, 106, 214, 88, 196)(54, 162, 91, 199, 107, 215, 97, 205, 61, 169, 92, 200)(59, 167, 95, 203, 108, 216, 98, 206, 64, 172, 96, 204)
	L = (1, 110)(2, 114)(3, 117)(4, 109)(5, 123)(6, 126)(7, 129)(8, 132)(9, 135)(10, 134)(11, 111)(12, 143)(13, 112)(14, 148)(15, 150)(16, 113)(17, 130)(18, 121)(19, 156)(20, 159)(21, 162)(22, 161)(23, 115)(24, 169)(25, 116)(26, 157)(27, 155)(28, 163)(29, 170)(30, 177)(31, 118)(32, 166)(33, 119)(34, 171)(35, 160)(36, 125)(37, 120)(38, 172)(39, 167)(40, 158)(41, 122)(42, 154)(43, 164)(44, 168)(45, 124)(46, 153)(47, 141)(48, 149)(49, 191)(50, 127)(51, 145)(52, 128)(53, 190)(54, 147)(55, 192)(56, 197)(57, 201)(58, 195)(59, 131)(60, 198)(61, 146)(62, 193)(63, 196)(64, 133)(65, 205)(66, 200)(67, 136)(68, 137)(69, 207)(70, 138)(71, 139)(72, 208)(73, 140)(74, 206)(75, 204)(76, 142)(77, 151)(78, 144)(79, 152)(80, 199)(81, 203)(82, 186)(83, 179)(84, 183)(85, 182)(86, 213)(87, 174)(88, 173)(89, 189)(90, 188)(91, 187)(92, 181)(93, 215)(94, 165)(95, 185)(96, 175)(97, 184)(98, 176)(99, 212)(100, 214)(101, 178)(102, 216)(103, 180)(104, 209)(105, 211)(106, 194)(107, 210)(108, 202)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2333
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 12^18 ]

E28.2337 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 6, 6})
Quotient :: loop
Aut^+ = C3 x S3 x S3 (small group id <108, 38>)
Aut   = S3 x S3 x S3 (small group id <216, 162>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T2^6, T1^6, T2^-1 * T1^2 * T2^2 * T1^-2 * T2^-1, T2^-1 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1, T1^-1 * T2^-1 * T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 109, 3, 111, 10, 118, 27, 135, 15, 123, 5, 113)(2, 110, 7, 115, 20, 128, 48, 156, 22, 130, 8, 116)(4, 112, 11, 119, 29, 137, 61, 169, 33, 141, 13, 121)(6, 114, 17, 125, 41, 149, 77, 185, 43, 151, 18, 126)(9, 117, 24, 132, 44, 152, 81, 189, 56, 164, 25, 133)(12, 120, 30, 138, 55, 163, 90, 198, 64, 172, 31, 139)(14, 122, 34, 142, 68, 176, 97, 205, 65, 173, 36, 144)(16, 124, 38, 146, 71, 179, 100, 208, 73, 181, 39, 147)(19, 127, 45, 153, 74, 182, 103, 211, 82, 190, 46, 154)(21, 129, 49, 157, 85, 193, 69, 177, 35, 143, 51, 159)(23, 131, 53, 161, 88, 196, 60, 168, 28, 136, 54, 162)(26, 134, 40, 148, 75, 183, 98, 206, 91, 199, 57, 165)(32, 140, 52, 160, 84, 192, 107, 215, 95, 203, 66, 174)(37, 145, 58, 166, 87, 195, 101, 209, 96, 204, 63, 171)(42, 150, 78, 186, 105, 213, 86, 194, 50, 158, 80, 188)(47, 155, 70, 178, 99, 207, 94, 202, 108, 216, 83, 191)(59, 167, 92, 200, 104, 212, 76, 184, 62, 170, 89, 197)(67, 175, 93, 201, 106, 214, 79, 187, 102, 210, 72, 180)
	L = (1, 110)(2, 114)(3, 117)(4, 109)(5, 119)(6, 124)(7, 127)(8, 111)(9, 131)(10, 134)(11, 136)(12, 112)(13, 138)(14, 113)(15, 142)(16, 120)(17, 148)(18, 115)(19, 152)(20, 155)(21, 116)(22, 157)(23, 158)(24, 153)(25, 118)(26, 149)(27, 166)(28, 167)(29, 154)(30, 170)(31, 146)(32, 121)(33, 160)(34, 151)(35, 122)(36, 159)(37, 123)(38, 178)(39, 125)(40, 182)(41, 184)(42, 126)(43, 186)(44, 187)(45, 183)(46, 128)(47, 179)(48, 192)(49, 181)(50, 129)(51, 188)(52, 130)(53, 195)(54, 132)(55, 133)(56, 198)(57, 135)(58, 196)(59, 143)(60, 137)(61, 201)(62, 202)(63, 139)(64, 145)(65, 140)(66, 144)(67, 141)(68, 190)(69, 200)(70, 206)(71, 168)(72, 147)(73, 175)(74, 209)(75, 207)(76, 163)(77, 176)(78, 172)(79, 150)(80, 210)(81, 215)(82, 169)(83, 156)(84, 164)(85, 165)(86, 161)(87, 211)(88, 208)(89, 162)(90, 213)(91, 177)(92, 214)(93, 212)(94, 173)(95, 171)(96, 174)(97, 216)(98, 203)(99, 197)(100, 193)(101, 180)(102, 204)(103, 205)(104, 185)(105, 191)(106, 189)(107, 199)(108, 194)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2332
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 12^18 ]

E28.2338 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 6})
Quotient :: dipole
Aut^+ = C3 x S3 x S3 (small group id <108, 38>)
Aut   = S3 x S3 x S3 (small group id <216, 162>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2^-2 * Y3^-1 * Y2^-2, Y2^-1 * Y1^-1 * Y2^-2 * Y1 * Y2^-1, Y1^6, Y2^-1 * R * Y2^2 * R * Y2^-1, Y2^6, (Y3^2 * Y2 * Y3)^2, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2^-1 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y2 * Y1^-1, (Y2 * Y1^-3)^2, Y3 * Y2 * Y1^2 * Y3^-1 * Y2 * Y1^-2, Y3 * Y2^-1 * Y1^2 * Y3^-1 * Y2^-1 * Y1^-2, Y3^2 * Y2 * Y1 * Y3^-2 * Y2 * Y1^-1, Y3^2 * Y2^-1 * Y1 * Y3^-2 * Y2^-1 * Y1^-1 ]
Map::
	R = (1, 109, 2, 110, 6, 114, 18, 126, 13, 121, 4, 112)(3, 111, 9, 117, 27, 135, 47, 155, 33, 141, 11, 119)(5, 113, 15, 123, 42, 150, 46, 154, 45, 153, 16, 124)(7, 115, 21, 129, 54, 162, 39, 147, 59, 167, 23, 131)(8, 116, 24, 132, 61, 169, 38, 146, 64, 172, 25, 133)(10, 118, 26, 134, 49, 157, 83, 191, 71, 179, 31, 139)(12, 120, 35, 143, 52, 160, 20, 128, 51, 159, 37, 145)(14, 122, 40, 148, 50, 158, 19, 127, 48, 156, 41, 149)(17, 125, 22, 130, 53, 161, 82, 190, 78, 186, 36, 144)(28, 136, 55, 163, 84, 192, 75, 183, 96, 204, 67, 175)(29, 137, 62, 170, 85, 193, 74, 182, 98, 206, 68, 176)(30, 138, 69, 177, 99, 207, 104, 212, 101, 209, 70, 178)(32, 140, 58, 166, 87, 195, 66, 174, 92, 200, 73, 181)(34, 142, 63, 171, 88, 196, 65, 173, 97, 205, 76, 184)(43, 151, 56, 164, 89, 197, 81, 189, 95, 203, 77, 185)(44, 152, 60, 168, 90, 198, 80, 188, 91, 199, 79, 187)(57, 165, 93, 201, 107, 215, 102, 210, 108, 216, 94, 202)(72, 180, 100, 208, 106, 214, 86, 194, 105, 213, 103, 211)(217, 325, 219, 327, 226, 334, 246, 354, 233, 341, 221, 329)(218, 326, 223, 331, 238, 346, 273, 381, 242, 350, 224, 332)(220, 328, 228, 336, 252, 360, 288, 396, 247, 355, 230, 338)(222, 330, 235, 343, 265, 373, 302, 410, 269, 377, 236, 344)(225, 333, 244, 352, 231, 339, 259, 367, 285, 393, 245, 353)(227, 335, 248, 356, 232, 340, 260, 368, 286, 394, 250, 358)(229, 337, 254, 362, 287, 395, 318, 426, 294, 402, 255, 363)(234, 342, 262, 370, 298, 406, 320, 428, 299, 407, 263, 371)(237, 345, 271, 379, 240, 348, 278, 386, 309, 417, 272, 380)(239, 347, 274, 382, 241, 349, 279, 387, 310, 418, 276, 384)(243, 351, 281, 389, 315, 423, 296, 404, 258, 366, 282, 390)(249, 357, 290, 398, 317, 425, 297, 405, 261, 369, 291, 399)(251, 359, 283, 391, 256, 364, 284, 392, 316, 424, 293, 401)(253, 361, 289, 397, 257, 365, 292, 400, 319, 427, 295, 403)(264, 372, 300, 408, 267, 375, 305, 413, 321, 429, 301, 409)(266, 374, 303, 411, 268, 376, 306, 414, 322, 430, 304, 412)(270, 378, 307, 415, 323, 431, 313, 421, 277, 385, 308, 416)(275, 383, 311, 419, 324, 432, 314, 422, 280, 388, 312, 420)
	L = (1, 220)(2, 217)(3, 227)(4, 229)(5, 232)(6, 218)(7, 239)(8, 241)(9, 219)(10, 247)(11, 249)(12, 253)(13, 234)(14, 257)(15, 221)(16, 261)(17, 252)(18, 222)(19, 266)(20, 268)(21, 223)(22, 233)(23, 275)(24, 224)(25, 280)(26, 226)(27, 225)(28, 283)(29, 284)(30, 286)(31, 287)(32, 289)(33, 263)(34, 292)(35, 228)(36, 294)(37, 267)(38, 277)(39, 270)(40, 230)(41, 264)(42, 231)(43, 293)(44, 295)(45, 262)(46, 258)(47, 243)(48, 235)(49, 242)(50, 256)(51, 236)(52, 251)(53, 238)(54, 237)(55, 244)(56, 259)(57, 310)(58, 248)(59, 255)(60, 260)(61, 240)(62, 245)(63, 250)(64, 254)(65, 304)(66, 303)(67, 312)(68, 314)(69, 246)(70, 317)(71, 299)(72, 319)(73, 308)(74, 301)(75, 300)(76, 313)(77, 311)(78, 298)(79, 307)(80, 306)(81, 305)(82, 269)(83, 265)(84, 271)(85, 278)(86, 322)(87, 274)(88, 279)(89, 272)(90, 276)(91, 296)(92, 282)(93, 273)(94, 324)(95, 297)(96, 291)(97, 281)(98, 290)(99, 285)(100, 288)(101, 320)(102, 323)(103, 321)(104, 315)(105, 302)(106, 316)(107, 309)(108, 318)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2345
Graph:: bipartite
	v = 36 e = 216 f = 126
	degree seq :: [ 12^36 ]

E28.2339 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 6})
Quotient :: dipole
Aut^+ = C3 x S3 x S3 (small group id <108, 38>)
Aut   = S3 x S3 x S3 (small group id <216, 162>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y2^-2 * Y1^-1 * Y2^-1, Y1^6, Y2^6, Y2 * Y1^2 * Y2^-1 * Y1^-2, Y3 * Y2^-2 * Y3^-1 * Y2^-2, Y3 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y3^2 * Y2 * Y3^-2 * Y2^-1, Y3 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y1^-1, (Y3 * Y2)^6 ]
Map::
	R = (1, 109, 2, 110, 6, 114, 18, 126, 13, 121, 4, 112)(3, 111, 9, 117, 19, 127, 42, 150, 32, 140, 11, 119)(5, 113, 15, 123, 20, 128, 44, 152, 36, 144, 16, 124)(7, 115, 21, 129, 40, 148, 35, 143, 12, 120, 23, 131)(8, 116, 24, 132, 41, 149, 37, 145, 14, 122, 25, 133)(10, 118, 26, 134, 43, 151, 71, 179, 59, 167, 30, 138)(17, 125, 22, 130, 45, 153, 70, 178, 63, 171, 34, 142)(27, 135, 53, 161, 72, 180, 61, 169, 31, 139, 54, 162)(28, 136, 55, 163, 73, 181, 62, 170, 33, 141, 56, 164)(29, 137, 57, 165, 74, 182, 99, 207, 93, 201, 58, 166)(38, 146, 67, 175, 75, 183, 69, 177, 39, 147, 68, 176)(46, 154, 76, 184, 64, 172, 82, 190, 49, 157, 77, 185)(47, 155, 78, 186, 65, 173, 83, 191, 50, 158, 79, 187)(48, 156, 80, 188, 98, 206, 94, 202, 60, 168, 81, 189)(51, 159, 84, 192, 66, 174, 86, 194, 52, 160, 85, 193)(87, 195, 101, 209, 95, 203, 107, 215, 89, 197, 103, 211)(88, 196, 100, 208, 96, 204, 106, 214, 90, 198, 102, 210)(91, 199, 104, 212, 97, 205, 108, 216, 92, 200, 105, 213)(217, 325, 219, 327, 226, 334, 245, 353, 233, 341, 221, 329)(218, 326, 223, 331, 238, 346, 264, 372, 242, 350, 224, 332)(220, 328, 228, 336, 250, 358, 276, 384, 246, 354, 230, 338)(222, 330, 235, 343, 259, 367, 290, 398, 261, 369, 236, 344)(225, 333, 243, 351, 231, 339, 254, 362, 273, 381, 244, 352)(227, 335, 247, 355, 232, 340, 255, 363, 274, 382, 249, 357)(229, 337, 248, 356, 275, 383, 309, 417, 279, 387, 252, 360)(234, 342, 256, 364, 286, 394, 314, 422, 287, 395, 257, 365)(237, 345, 262, 370, 240, 348, 267, 375, 296, 404, 263, 371)(239, 347, 265, 373, 241, 349, 268, 376, 297, 405, 266, 374)(251, 359, 280, 388, 253, 361, 282, 390, 310, 418, 281, 389)(258, 366, 288, 396, 260, 368, 291, 399, 315, 423, 289, 397)(269, 377, 303, 411, 271, 379, 307, 415, 283, 391, 304, 412)(270, 378, 305, 413, 272, 380, 308, 416, 284, 392, 306, 414)(277, 385, 311, 419, 278, 386, 313, 421, 285, 393, 312, 420)(292, 400, 316, 424, 294, 402, 320, 428, 300, 408, 317, 425)(293, 401, 318, 426, 295, 403, 321, 429, 301, 409, 319, 427)(298, 406, 322, 430, 299, 407, 324, 432, 302, 410, 323, 431)
	L = (1, 220)(2, 217)(3, 227)(4, 229)(5, 232)(6, 218)(7, 239)(8, 241)(9, 219)(10, 246)(11, 248)(12, 251)(13, 234)(14, 253)(15, 221)(16, 252)(17, 250)(18, 222)(19, 225)(20, 231)(21, 223)(22, 233)(23, 228)(24, 224)(25, 230)(26, 226)(27, 270)(28, 272)(29, 274)(30, 275)(31, 277)(32, 258)(33, 278)(34, 279)(35, 256)(36, 260)(37, 257)(38, 284)(39, 285)(40, 237)(41, 240)(42, 235)(43, 242)(44, 236)(45, 238)(46, 293)(47, 295)(48, 297)(49, 298)(50, 299)(51, 301)(52, 302)(53, 243)(54, 247)(55, 244)(56, 249)(57, 245)(58, 309)(59, 287)(60, 310)(61, 288)(62, 289)(63, 286)(64, 292)(65, 294)(66, 300)(67, 254)(68, 255)(69, 291)(70, 261)(71, 259)(72, 269)(73, 271)(74, 273)(75, 283)(76, 262)(77, 265)(78, 263)(79, 266)(80, 264)(81, 276)(82, 280)(83, 281)(84, 267)(85, 268)(86, 282)(87, 319)(88, 318)(89, 323)(90, 322)(91, 321)(92, 324)(93, 315)(94, 314)(95, 317)(96, 316)(97, 320)(98, 296)(99, 290)(100, 304)(101, 303)(102, 306)(103, 305)(104, 307)(105, 308)(106, 312)(107, 311)(108, 313)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2343
Graph:: bipartite
	v = 36 e = 216 f = 126
	degree seq :: [ 12^36 ]

E28.2340 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 6})
Quotient :: dipole
Aut^+ = C3 x S3 x S3 (small group id <108, 38>)
Aut   = S3 x S3 x S3 (small group id <216, 162>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y3)^2, (R * Y1)^2, Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-2, Y3 * Y2 * Y3^-1 * Y1 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2^6, Y1^6, Y2^2 * Y3 * Y2^2 * Y1^-1, Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1, Y2^2 * Y1 * Y3^-1 * Y2^-2 * Y3 * Y1^-1, Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y1 * Y2^2 * Y3^-1 * Y2^-2, Y2^3 * Y3^2 * Y2 * Y1^-1 * Y2^-2 * Y1^-1, Y3 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 109, 2, 110, 6, 114, 18, 126, 13, 121, 4, 112)(3, 111, 9, 117, 19, 127, 45, 153, 32, 140, 11, 119)(5, 113, 15, 123, 20, 128, 47, 155, 36, 144, 16, 124)(7, 115, 21, 129, 43, 151, 35, 143, 12, 120, 23, 131)(8, 116, 24, 132, 44, 152, 37, 145, 14, 122, 25, 133)(10, 118, 29, 137, 46, 154, 38, 146, 58, 166, 26, 134)(17, 125, 34, 142, 48, 156, 22, 130, 51, 159, 42, 150)(27, 135, 59, 167, 41, 149, 66, 174, 31, 139, 60, 168)(28, 136, 61, 169, 75, 183, 67, 175, 33, 141, 62, 170)(30, 138, 65, 173, 76, 184, 68, 176, 83, 191, 63, 171)(39, 147, 72, 180, 77, 185, 74, 182, 40, 148, 73, 181)(49, 157, 78, 186, 57, 165, 85, 193, 53, 161, 79, 187)(50, 158, 80, 188, 70, 178, 86, 194, 54, 162, 81, 189)(52, 160, 84, 192, 64, 172, 87, 195, 69, 177, 82, 190)(55, 163, 88, 196, 71, 179, 90, 198, 56, 164, 89, 197)(91, 199, 103, 211, 97, 205, 101, 209, 93, 201, 107, 215)(92, 200, 106, 214, 98, 206, 102, 210, 94, 202, 100, 208)(95, 203, 104, 212, 99, 207, 108, 216, 96, 204, 105, 213)(217, 325, 219, 327, 226, 334, 246, 354, 233, 341, 221, 329)(218, 326, 223, 331, 238, 346, 268, 376, 242, 350, 224, 332)(220, 328, 228, 336, 250, 358, 285, 393, 254, 362, 230, 338)(222, 330, 235, 343, 262, 370, 292, 400, 264, 372, 236, 344)(225, 333, 243, 351, 263, 371, 293, 401, 279, 387, 244, 352)(227, 335, 247, 355, 231, 339, 255, 363, 284, 392, 249, 357)(229, 337, 248, 356, 274, 382, 299, 407, 267, 375, 252, 360)(232, 340, 256, 364, 281, 389, 291, 399, 261, 369, 257, 365)(234, 342, 259, 367, 258, 366, 280, 388, 245, 353, 260, 368)(237, 345, 265, 373, 253, 361, 287, 395, 298, 406, 266, 374)(239, 347, 269, 377, 240, 348, 271, 379, 303, 411, 270, 378)(241, 349, 272, 380, 300, 408, 286, 394, 251, 359, 273, 381)(275, 383, 307, 415, 283, 391, 315, 423, 288, 396, 308, 416)(276, 384, 309, 417, 277, 385, 311, 419, 289, 397, 310, 418)(278, 386, 312, 420, 290, 398, 314, 422, 282, 390, 313, 421)(294, 402, 316, 424, 302, 410, 324, 432, 304, 412, 317, 425)(295, 403, 318, 426, 296, 404, 320, 428, 305, 413, 319, 427)(297, 405, 321, 429, 306, 414, 323, 431, 301, 409, 322, 430)
	L = (1, 220)(2, 217)(3, 227)(4, 229)(5, 232)(6, 218)(7, 239)(8, 241)(9, 219)(10, 242)(11, 248)(12, 251)(13, 234)(14, 253)(15, 221)(16, 252)(17, 258)(18, 222)(19, 225)(20, 231)(21, 223)(22, 264)(23, 228)(24, 224)(25, 230)(26, 274)(27, 276)(28, 278)(29, 226)(30, 279)(31, 282)(32, 261)(33, 283)(34, 233)(35, 259)(36, 263)(37, 260)(38, 262)(39, 289)(40, 290)(41, 275)(42, 267)(43, 237)(44, 240)(45, 235)(46, 245)(47, 236)(48, 250)(49, 295)(50, 297)(51, 238)(52, 298)(53, 301)(54, 302)(55, 305)(56, 306)(57, 294)(58, 254)(59, 243)(60, 247)(61, 244)(62, 249)(63, 299)(64, 300)(65, 246)(66, 257)(67, 291)(68, 292)(69, 303)(70, 296)(71, 304)(72, 255)(73, 256)(74, 293)(75, 277)(76, 281)(77, 288)(78, 265)(79, 269)(80, 266)(81, 270)(82, 285)(83, 284)(84, 268)(85, 273)(86, 286)(87, 280)(88, 271)(89, 272)(90, 287)(91, 323)(92, 316)(93, 317)(94, 318)(95, 321)(96, 324)(97, 319)(98, 322)(99, 320)(100, 310)(101, 313)(102, 314)(103, 307)(104, 311)(105, 312)(106, 308)(107, 309)(108, 315)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2342
Graph:: bipartite
	v = 36 e = 216 f = 126
	degree seq :: [ 12^36 ]

E28.2341 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 6})
Quotient :: dipole
Aut^+ = C3 x S3 x S3 (small group id <108, 38>)
Aut   = S3 x S3 x S3 (small group id <216, 162>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y3)^2, (R * Y1)^2, Y2 * Y1 * Y3^-1 * Y2^-1 * Y3 * Y1^-1, Y3^2 * Y2 * Y3^-2 * Y2^-1, (R * Y2 * Y3^-1)^2, Y1^2 * Y3^-3 * Y1, Y1^6, Y2^-1 * Y3 * Y2^-2 * Y1^-1 * Y2^-1, Y2^6, Y3^2 * Y2^2 * Y1^-1 * Y2^2 * Y1^-1, Y1 * Y2^2 * Y3 * Y2^2 * Y3^-2, Y2^2 * Y3 * Y2^-3 * Y3 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y3^2 * Y2^3 * Y3^-2 * Y2^2, (Y3 * Y2 * Y1 * Y2)^3 ]
Map::
	R = (1, 109, 2, 110, 6, 114, 18, 126, 13, 121, 4, 112)(3, 111, 9, 117, 19, 127, 45, 153, 33, 141, 11, 119)(5, 113, 15, 123, 20, 128, 47, 155, 37, 145, 16, 124)(7, 115, 21, 129, 43, 151, 36, 144, 12, 120, 23, 131)(8, 116, 24, 132, 44, 152, 38, 146, 14, 122, 25, 133)(10, 118, 29, 137, 46, 154, 26, 134, 58, 166, 31, 139)(17, 125, 42, 150, 48, 156, 35, 143, 52, 160, 22, 130)(27, 135, 59, 167, 40, 148, 68, 176, 32, 140, 60, 168)(28, 136, 61, 169, 75, 183, 69, 177, 34, 142, 62, 170)(30, 138, 65, 173, 76, 184, 63, 171, 85, 193, 66, 174)(39, 147, 72, 180, 77, 185, 74, 182, 41, 149, 73, 181)(49, 157, 78, 186, 56, 164, 86, 194, 53, 161, 79, 187)(50, 158, 80, 188, 70, 178, 87, 195, 54, 162, 81, 189)(51, 159, 83, 191, 67, 175, 82, 190, 64, 172, 84, 192)(55, 163, 88, 196, 71, 179, 90, 198, 57, 165, 89, 197)(91, 199, 107, 215, 96, 204, 103, 211, 93, 201, 101, 209)(92, 200, 102, 210, 98, 206, 100, 208, 94, 202, 105, 213)(95, 203, 104, 212, 99, 207, 108, 216, 97, 205, 106, 214)(217, 325, 219, 327, 226, 334, 246, 354, 233, 341, 221, 329)(218, 326, 223, 331, 238, 346, 267, 375, 242, 350, 224, 332)(220, 328, 228, 336, 251, 359, 280, 388, 245, 353, 230, 338)(222, 330, 235, 343, 262, 370, 292, 400, 264, 372, 236, 344)(225, 333, 243, 351, 232, 340, 257, 365, 279, 387, 244, 352)(227, 335, 248, 356, 263, 371, 293, 401, 281, 389, 250, 358)(229, 337, 249, 357, 274, 382, 301, 409, 268, 376, 253, 361)(231, 339, 255, 363, 282, 390, 291, 399, 261, 369, 256, 364)(234, 342, 259, 367, 258, 366, 283, 391, 247, 355, 260, 368)(237, 345, 265, 373, 241, 349, 273, 381, 298, 406, 266, 374)(239, 347, 269, 377, 254, 362, 287, 395, 299, 407, 270, 378)(240, 348, 271, 379, 300, 408, 286, 394, 252, 360, 272, 380)(275, 383, 307, 415, 278, 386, 313, 421, 288, 396, 308, 416)(276, 384, 309, 417, 285, 393, 315, 423, 289, 397, 310, 418)(277, 385, 311, 419, 290, 398, 314, 422, 284, 392, 312, 420)(294, 402, 316, 424, 297, 405, 322, 430, 304, 412, 317, 425)(295, 403, 318, 426, 303, 411, 324, 432, 305, 413, 319, 427)(296, 404, 320, 428, 306, 414, 323, 431, 302, 410, 321, 429)
	L = (1, 220)(2, 217)(3, 227)(4, 229)(5, 232)(6, 218)(7, 239)(8, 241)(9, 219)(10, 247)(11, 249)(12, 252)(13, 234)(14, 254)(15, 221)(16, 253)(17, 238)(18, 222)(19, 225)(20, 231)(21, 223)(22, 268)(23, 228)(24, 224)(25, 230)(26, 262)(27, 276)(28, 278)(29, 226)(30, 282)(31, 274)(32, 284)(33, 261)(34, 285)(35, 264)(36, 259)(37, 263)(38, 260)(39, 289)(40, 275)(41, 290)(42, 233)(43, 237)(44, 240)(45, 235)(46, 245)(47, 236)(48, 258)(49, 295)(50, 297)(51, 300)(52, 251)(53, 302)(54, 303)(55, 305)(56, 294)(57, 306)(58, 242)(59, 243)(60, 248)(61, 244)(62, 250)(63, 292)(64, 298)(65, 246)(66, 301)(67, 299)(68, 256)(69, 291)(70, 296)(71, 304)(72, 255)(73, 257)(74, 293)(75, 277)(76, 281)(77, 288)(78, 265)(79, 269)(80, 266)(81, 270)(82, 283)(83, 267)(84, 280)(85, 279)(86, 272)(87, 286)(88, 271)(89, 273)(90, 287)(91, 317)(92, 321)(93, 319)(94, 316)(95, 322)(96, 323)(97, 324)(98, 318)(99, 320)(100, 314)(101, 309)(102, 308)(103, 312)(104, 311)(105, 310)(106, 313)(107, 307)(108, 315)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2344
Graph:: bipartite
	v = 36 e = 216 f = 126
	degree seq :: [ 12^36 ]

E28.2342 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 6})
Quotient :: dipole
Aut^+ = C3 x S3 x S3 (small group id <108, 38>)
Aut   = S3 x S3 x S3 (small group id <216, 162>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^2 * Y3 * Y2^2 * Y3^-1, Y2^6, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y3^3 * Y2^-1 * Y3^-3 * Y2^-1, Y3 * Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y3, (Y3^-1 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)(217, 325, 218, 326, 222, 330, 234, 342, 229, 337, 220, 328)(219, 327, 225, 333, 243, 351, 265, 373, 235, 343, 227, 335)(221, 329, 231, 339, 253, 361, 266, 374, 236, 344, 232, 340)(223, 331, 237, 345, 228, 336, 251, 359, 262, 370, 239, 347)(224, 332, 240, 348, 230, 338, 254, 362, 263, 371, 241, 349)(226, 334, 246, 354, 264, 372, 300, 408, 281, 389, 248, 356)(233, 341, 260, 368, 267, 375, 306, 414, 295, 403, 261, 369)(238, 346, 270, 378, 298, 406, 294, 402, 252, 360, 272, 380)(242, 350, 279, 387, 299, 407, 297, 405, 255, 363, 280, 388)(244, 352, 268, 376, 249, 357, 273, 381, 302, 410, 283, 391)(245, 353, 275, 383, 250, 358, 277, 385, 303, 411, 284, 392)(247, 355, 288, 396, 315, 423, 320, 428, 301, 409, 271, 379)(256, 364, 269, 377, 258, 366, 274, 382, 304, 412, 293, 401)(257, 365, 276, 384, 259, 367, 278, 386, 305, 413, 296, 404)(282, 390, 316, 424, 323, 431, 309, 417, 291, 399, 311, 419)(285, 393, 319, 427, 324, 432, 314, 422, 292, 400, 308, 416)(286, 394, 307, 415, 289, 397, 317, 425, 321, 429, 313, 421)(287, 395, 312, 420, 290, 398, 318, 426, 322, 430, 310, 418)
	L = (1, 219)(2, 223)(3, 226)(4, 228)(5, 217)(6, 235)(7, 238)(8, 218)(9, 244)(10, 247)(11, 249)(12, 252)(13, 243)(14, 220)(15, 256)(16, 258)(17, 221)(18, 262)(19, 264)(20, 222)(21, 268)(22, 271)(23, 273)(24, 275)(25, 277)(26, 224)(27, 281)(28, 282)(29, 225)(30, 286)(31, 233)(32, 289)(33, 291)(34, 227)(35, 283)(36, 288)(37, 229)(38, 284)(39, 230)(40, 290)(41, 231)(42, 287)(43, 232)(44, 292)(45, 285)(46, 298)(47, 234)(48, 301)(49, 302)(50, 304)(51, 236)(52, 307)(53, 237)(54, 309)(55, 242)(56, 311)(57, 313)(58, 239)(59, 312)(60, 240)(61, 310)(62, 241)(63, 314)(64, 308)(65, 315)(66, 261)(67, 317)(68, 318)(69, 245)(70, 259)(71, 246)(72, 255)(73, 257)(74, 248)(75, 260)(76, 250)(77, 251)(78, 316)(79, 253)(80, 254)(81, 319)(82, 320)(83, 263)(84, 321)(85, 267)(86, 323)(87, 265)(88, 322)(89, 266)(90, 324)(91, 280)(92, 269)(93, 278)(94, 270)(95, 276)(96, 272)(97, 279)(98, 274)(99, 295)(100, 296)(101, 297)(102, 294)(103, 293)(104, 299)(105, 305)(106, 300)(107, 306)(108, 303)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 12, 12 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2340
Graph:: simple bipartite
	v = 126 e = 216 f = 36
	degree seq :: [ 2^108, 12^18 ]

E28.2343 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 6})
Quotient :: dipole
Aut^+ = C3 x S3 x S3 (small group id <108, 38>)
Aut   = S3 x S3 x S3 (small group id <216, 162>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2^-1 * Y3^-2 * Y2 * Y3^-1, Y2^6, (Y2^-2 * Y3 * Y2^-1)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y2^-1 * Y3^-1 * Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)(217, 325, 218, 326, 222, 330, 234, 342, 229, 337, 220, 328)(219, 327, 225, 333, 243, 351, 263, 371, 249, 357, 227, 335)(221, 329, 231, 339, 258, 366, 262, 370, 261, 369, 232, 340)(223, 331, 237, 345, 270, 378, 255, 363, 275, 383, 239, 347)(224, 332, 240, 348, 277, 385, 254, 362, 280, 388, 241, 349)(226, 334, 242, 350, 265, 373, 299, 407, 287, 395, 247, 355)(228, 336, 251, 359, 268, 376, 236, 344, 267, 375, 253, 361)(230, 338, 256, 364, 266, 374, 235, 343, 264, 372, 257, 365)(233, 341, 238, 346, 269, 377, 298, 406, 294, 402, 252, 360)(244, 352, 271, 379, 300, 408, 291, 399, 312, 420, 283, 391)(245, 353, 278, 386, 301, 409, 290, 398, 314, 422, 284, 392)(246, 354, 285, 393, 315, 423, 320, 428, 317, 425, 286, 394)(248, 356, 274, 382, 303, 411, 282, 390, 308, 416, 289, 397)(250, 358, 279, 387, 304, 412, 281, 389, 313, 421, 292, 400)(259, 367, 272, 380, 305, 413, 297, 405, 311, 419, 293, 401)(260, 368, 276, 384, 306, 414, 296, 404, 307, 415, 295, 403)(273, 381, 309, 417, 323, 431, 318, 426, 324, 432, 310, 418)(288, 396, 316, 424, 322, 430, 302, 410, 321, 429, 319, 427)
	L = (1, 219)(2, 223)(3, 226)(4, 228)(5, 217)(6, 235)(7, 238)(8, 218)(9, 244)(10, 246)(11, 248)(12, 252)(13, 254)(14, 220)(15, 259)(16, 260)(17, 221)(18, 262)(19, 265)(20, 222)(21, 271)(22, 273)(23, 274)(24, 278)(25, 279)(26, 224)(27, 281)(28, 231)(29, 225)(30, 233)(31, 230)(32, 232)(33, 290)(34, 227)(35, 283)(36, 288)(37, 289)(38, 287)(39, 229)(40, 284)(41, 292)(42, 282)(43, 285)(44, 286)(45, 291)(46, 298)(47, 234)(48, 300)(49, 302)(50, 303)(51, 305)(52, 306)(53, 236)(54, 307)(55, 240)(56, 237)(57, 242)(58, 241)(59, 311)(60, 239)(61, 308)(62, 309)(63, 310)(64, 312)(65, 315)(66, 243)(67, 256)(68, 316)(69, 245)(70, 250)(71, 318)(72, 247)(73, 257)(74, 317)(75, 249)(76, 319)(77, 251)(78, 255)(79, 253)(80, 258)(81, 261)(82, 320)(83, 263)(84, 267)(85, 264)(86, 269)(87, 268)(88, 266)(89, 321)(90, 322)(91, 323)(92, 270)(93, 272)(94, 276)(95, 324)(96, 275)(97, 277)(98, 280)(99, 296)(100, 293)(101, 297)(102, 294)(103, 295)(104, 299)(105, 301)(106, 304)(107, 313)(108, 314)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 12, 12 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2339
Graph:: simple bipartite
	v = 126 e = 216 f = 36
	degree seq :: [ 2^108, 12^18 ]

E28.2344 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 6})
Quotient :: dipole
Aut^+ = C3 x S3 x S3 (small group id <108, 38>)
Aut   = S3 x S3 x S3 (small group id <216, 162>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^6, Y2^6, Y2^-1 * Y3^-2 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y2^-1, (Y2^-1 * R * Y3^-1 * Y2^-1)^2, Y3 * Y2^-1 * Y3^-1 * Y2 * Y3^-2 * Y2^-2, (Y3 * Y2^-1)^6, (Y3^-1 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)(217, 325, 218, 326, 222, 330, 232, 340, 229, 337, 220, 328)(219, 327, 225, 333, 239, 347, 269, 377, 245, 353, 227, 335)(221, 329, 230, 338, 250, 358, 264, 372, 236, 344, 223, 331)(224, 332, 237, 345, 265, 373, 293, 401, 257, 365, 233, 341)(226, 334, 241, 349, 256, 364, 290, 398, 277, 385, 243, 351)(228, 336, 246, 354, 281, 389, 313, 421, 278, 386, 248, 356)(231, 339, 253, 361, 259, 367, 296, 404, 282, 390, 251, 359)(234, 342, 258, 366, 294, 402, 316, 424, 287, 395, 254, 362)(235, 343, 260, 368, 286, 394, 283, 391, 247, 355, 262, 370)(238, 346, 268, 376, 289, 397, 270, 378, 240, 348, 266, 374)(242, 350, 274, 382, 305, 413, 314, 422, 297, 405, 275, 383)(244, 352, 263, 371, 292, 400, 315, 423, 310, 418, 279, 387)(249, 357, 255, 363, 288, 396, 317, 425, 311, 419, 276, 384)(252, 360, 267, 375, 295, 403, 318, 426, 303, 411, 271, 379)(261, 369, 298, 406, 285, 393, 312, 420, 319, 427, 299, 407)(272, 380, 306, 414, 320, 428, 291, 399, 273, 381, 302, 410)(280, 388, 304, 412, 321, 429, 301, 409, 323, 431, 309, 417)(284, 392, 308, 416, 322, 430, 307, 415, 324, 432, 300, 408)
	L = (1, 219)(2, 223)(3, 226)(4, 228)(5, 217)(6, 233)(7, 235)(8, 218)(9, 220)(10, 242)(11, 244)(12, 247)(13, 249)(14, 251)(15, 221)(16, 254)(17, 256)(18, 222)(19, 261)(20, 263)(21, 266)(22, 224)(23, 270)(24, 225)(25, 227)(26, 231)(27, 276)(28, 278)(29, 280)(30, 229)(31, 272)(32, 279)(33, 277)(34, 271)(35, 285)(36, 230)(37, 275)(38, 286)(39, 232)(40, 291)(41, 292)(42, 253)(43, 234)(44, 236)(45, 238)(46, 248)(47, 245)(48, 300)(49, 252)(50, 302)(51, 237)(52, 299)(53, 303)(54, 305)(55, 239)(56, 240)(57, 241)(58, 243)(59, 309)(60, 310)(61, 312)(62, 307)(63, 311)(64, 297)(65, 296)(66, 246)(67, 287)(68, 250)(69, 301)(70, 314)(71, 315)(72, 268)(73, 255)(74, 257)(75, 259)(76, 264)(77, 321)(78, 267)(79, 258)(80, 320)(81, 260)(82, 262)(83, 324)(84, 319)(85, 265)(86, 322)(87, 281)(88, 269)(89, 284)(90, 283)(91, 273)(92, 274)(93, 317)(94, 316)(95, 323)(96, 282)(97, 318)(98, 289)(99, 293)(100, 308)(101, 295)(102, 288)(103, 290)(104, 304)(105, 306)(106, 294)(107, 298)(108, 313)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 12, 12 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2341
Graph:: simple bipartite
	v = 126 e = 216 f = 36
	degree seq :: [ 2^108, 12^18 ]

E28.2345 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 6})
Quotient :: dipole
Aut^+ = C3 x S3 x S3 (small group id <108, 38>)
Aut   = S3 x S3 x S3 (small group id <216, 162>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (R * Y2^2)^2, Y3^6, Y3^-1 * Y2^-2 * Y3 * Y2^2, Y2^6, Y3^-1 * Y2 * Y3^-2 * Y2^-1 * Y3^-1, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)(217, 325, 218, 326, 222, 330, 234, 342, 229, 337, 220, 328)(219, 327, 225, 333, 235, 343, 258, 366, 248, 356, 227, 335)(221, 329, 231, 339, 236, 344, 260, 368, 252, 360, 232, 340)(223, 331, 237, 345, 256, 364, 251, 359, 228, 336, 239, 347)(224, 332, 240, 348, 257, 365, 253, 361, 230, 338, 241, 349)(226, 334, 242, 350, 259, 367, 287, 395, 275, 383, 246, 354)(233, 341, 238, 346, 261, 369, 286, 394, 279, 387, 250, 358)(243, 351, 269, 377, 288, 396, 277, 385, 247, 355, 270, 378)(244, 352, 271, 379, 289, 397, 278, 386, 249, 357, 272, 380)(245, 353, 273, 381, 290, 398, 315, 423, 309, 417, 274, 382)(254, 362, 283, 391, 291, 399, 285, 393, 255, 363, 284, 392)(262, 370, 292, 400, 280, 388, 298, 406, 265, 373, 293, 401)(263, 371, 294, 402, 281, 389, 299, 407, 266, 374, 295, 403)(264, 372, 296, 404, 314, 422, 310, 418, 276, 384, 297, 405)(267, 375, 300, 408, 282, 390, 302, 410, 268, 376, 301, 409)(303, 411, 317, 425, 311, 419, 323, 431, 305, 413, 319, 427)(304, 412, 316, 424, 312, 420, 322, 430, 306, 414, 318, 426)(307, 415, 320, 428, 313, 421, 324, 432, 308, 416, 321, 429)
	L = (1, 219)(2, 223)(3, 226)(4, 228)(5, 217)(6, 235)(7, 238)(8, 218)(9, 243)(10, 245)(11, 247)(12, 250)(13, 248)(14, 220)(15, 254)(16, 255)(17, 221)(18, 256)(19, 259)(20, 222)(21, 262)(22, 264)(23, 265)(24, 267)(25, 268)(26, 224)(27, 231)(28, 225)(29, 233)(30, 230)(31, 232)(32, 275)(33, 227)(34, 276)(35, 280)(36, 229)(37, 282)(38, 273)(39, 274)(40, 286)(41, 234)(42, 288)(43, 290)(44, 291)(45, 236)(46, 240)(47, 237)(48, 242)(49, 241)(50, 239)(51, 296)(52, 297)(53, 303)(54, 305)(55, 307)(56, 308)(57, 244)(58, 249)(59, 309)(60, 246)(61, 311)(62, 313)(63, 252)(64, 253)(65, 251)(66, 310)(67, 304)(68, 306)(69, 312)(70, 314)(71, 257)(72, 260)(73, 258)(74, 261)(75, 315)(76, 316)(77, 318)(78, 320)(79, 321)(80, 263)(81, 266)(82, 322)(83, 324)(84, 317)(85, 319)(86, 323)(87, 271)(88, 269)(89, 272)(90, 270)(91, 283)(92, 284)(93, 279)(94, 281)(95, 278)(96, 277)(97, 285)(98, 287)(99, 289)(100, 294)(101, 292)(102, 295)(103, 293)(104, 300)(105, 301)(106, 299)(107, 298)(108, 302)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 12, 12 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2338
Graph:: simple bipartite
	v = 126 e = 216 f = 36
	degree seq :: [ 2^108, 12^18 ]

E28.2346 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 6, 6})
Quotient :: edge
Aut^+ = C3 x C6 x S3 (small group id <108, 42>)
Aut   = C2 x (((C3 x C3) : C2) x S3) (small group id <216, 171>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^2 * T1 * T2^-2 * T1^-1, T2^6, T1^6, T1^-1 * T2^-1 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1, T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1, T2 * T1^-3 * T2^-1 * T1^-3, T1^-1 * T2^-1 * T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 30, 17, 5)(2, 7, 22, 57, 26, 8)(4, 12, 31, 71, 41, 14)(6, 19, 49, 86, 53, 20)(9, 28, 67, 43, 15, 29)(11, 32, 70, 45, 16, 34)(13, 37, 72, 103, 77, 38)(18, 46, 82, 104, 83, 47)(21, 55, 93, 62, 24, 56)(23, 58, 94, 64, 25, 60)(27, 65, 99, 80, 42, 66)(33, 74, 101, 81, 44, 75)(35, 68, 100, 78, 39, 69)(36, 73, 102, 79, 40, 76)(48, 84, 105, 89, 51, 85)(50, 87, 106, 90, 52, 88)(54, 91, 107, 97, 61, 92)(59, 95, 108, 98, 63, 96)(109, 110, 114, 126, 121, 112)(111, 117, 135, 154, 141, 119)(113, 123, 150, 155, 152, 124)(115, 129, 162, 145, 167, 131)(116, 132, 169, 146, 171, 133)(118, 130, 157, 190, 180, 139)(120, 143, 158, 127, 156, 144)(122, 147, 160, 128, 159, 148)(125, 134, 161, 191, 185, 149)(136, 163, 192, 182, 203, 176)(137, 164, 193, 183, 204, 177)(138, 175, 207, 212, 209, 178)(140, 166, 195, 173, 199, 181)(142, 168, 196, 174, 200, 184)(151, 170, 197, 189, 206, 186)(153, 172, 198, 188, 205, 187)(165, 201, 215, 211, 216, 202)(179, 208, 214, 194, 213, 210)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2347
Transitivity :: ET+
Graph:: simple bipartite
	v = 36 e = 108 f = 18
	degree seq :: [ 6^36 ]

E28.2347 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 6, 6})
Quotient :: loop
Aut^+ = C3 x C6 x S3 (small group id <108, 42>)
Aut   = C2 x (((C3 x C3) : C2) x S3) (small group id <216, 171>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^2 * T1 * T2^-2 * T1^-1, T2^6, T1^6, T1^-1 * T2^-1 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1, T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1, T2 * T1^-3 * T2^-1 * T1^-3, T1^-1 * T2^-1 * T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 109, 3, 111, 10, 118, 30, 138, 17, 125, 5, 113)(2, 110, 7, 115, 22, 130, 57, 165, 26, 134, 8, 116)(4, 112, 12, 120, 31, 139, 71, 179, 41, 149, 14, 122)(6, 114, 19, 127, 49, 157, 86, 194, 53, 161, 20, 128)(9, 117, 28, 136, 67, 175, 43, 151, 15, 123, 29, 137)(11, 119, 32, 140, 70, 178, 45, 153, 16, 124, 34, 142)(13, 121, 37, 145, 72, 180, 103, 211, 77, 185, 38, 146)(18, 126, 46, 154, 82, 190, 104, 212, 83, 191, 47, 155)(21, 129, 55, 163, 93, 201, 62, 170, 24, 132, 56, 164)(23, 131, 58, 166, 94, 202, 64, 172, 25, 133, 60, 168)(27, 135, 65, 173, 99, 207, 80, 188, 42, 150, 66, 174)(33, 141, 74, 182, 101, 209, 81, 189, 44, 152, 75, 183)(35, 143, 68, 176, 100, 208, 78, 186, 39, 147, 69, 177)(36, 144, 73, 181, 102, 210, 79, 187, 40, 148, 76, 184)(48, 156, 84, 192, 105, 213, 89, 197, 51, 159, 85, 193)(50, 158, 87, 195, 106, 214, 90, 198, 52, 160, 88, 196)(54, 162, 91, 199, 107, 215, 97, 205, 61, 169, 92, 200)(59, 167, 95, 203, 108, 216, 98, 206, 63, 171, 96, 204)
	L = (1, 110)(2, 114)(3, 117)(4, 109)(5, 123)(6, 126)(7, 129)(8, 132)(9, 135)(10, 130)(11, 111)(12, 143)(13, 112)(14, 147)(15, 150)(16, 113)(17, 134)(18, 121)(19, 156)(20, 159)(21, 162)(22, 157)(23, 115)(24, 169)(25, 116)(26, 161)(27, 154)(28, 163)(29, 164)(30, 175)(31, 118)(32, 166)(33, 119)(34, 168)(35, 158)(36, 120)(37, 167)(38, 171)(39, 160)(40, 122)(41, 125)(42, 155)(43, 170)(44, 124)(45, 172)(46, 141)(47, 152)(48, 144)(49, 190)(50, 127)(51, 148)(52, 128)(53, 191)(54, 145)(55, 192)(56, 193)(57, 201)(58, 195)(59, 131)(60, 196)(61, 146)(62, 197)(63, 133)(64, 198)(65, 199)(66, 200)(67, 207)(68, 136)(69, 137)(70, 138)(71, 208)(72, 139)(73, 140)(74, 203)(75, 204)(76, 142)(77, 149)(78, 151)(79, 153)(80, 205)(81, 206)(82, 180)(83, 185)(84, 182)(85, 183)(86, 213)(87, 173)(88, 174)(89, 189)(90, 188)(91, 181)(92, 184)(93, 215)(94, 165)(95, 176)(96, 177)(97, 187)(98, 186)(99, 212)(100, 214)(101, 178)(102, 179)(103, 216)(104, 209)(105, 210)(106, 194)(107, 211)(108, 202)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2346
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 12^18 ]

E28.2348 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 6})
Quotient :: dipole
Aut^+ = C3 x C6 x S3 (small group id <108, 42>)
Aut   = C2 x (((C3 x C3) : C2) x S3) (small group id <216, 171>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^6, Y2^6, Y1^-1 * Y2 * Y3^-1 * Y1 * Y2^-1 * Y3, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-3 * Y1 * Y2^-3 * Y1^-1, Y3 * Y2^-3 * Y3^-1 * Y2^-3, Y2 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1, Y2^-1 * Y3 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2 * Y1^-1, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 109, 2, 110, 6, 114, 18, 126, 13, 121, 4, 112)(3, 111, 9, 117, 19, 127, 48, 156, 33, 141, 11, 119)(5, 113, 15, 123, 20, 128, 50, 158, 37, 145, 16, 124)(7, 115, 21, 129, 46, 154, 36, 144, 12, 120, 23, 131)(8, 116, 24, 132, 47, 155, 38, 146, 14, 122, 25, 133)(10, 118, 29, 137, 49, 157, 86, 194, 71, 179, 31, 139)(17, 125, 44, 152, 51, 159, 90, 198, 79, 187, 45, 153)(22, 130, 54, 162, 82, 190, 77, 185, 35, 143, 56, 164)(26, 134, 63, 171, 83, 191, 81, 189, 39, 147, 64, 172)(27, 135, 52, 160, 84, 192, 74, 182, 32, 140, 57, 165)(28, 136, 59, 167, 85, 193, 75, 183, 34, 142, 61, 169)(30, 138, 55, 163, 87, 195, 104, 212, 99, 207, 69, 177)(40, 148, 53, 161, 88, 196, 78, 186, 42, 150, 58, 166)(41, 149, 60, 168, 89, 197, 80, 188, 43, 151, 62, 170)(65, 173, 93, 201, 105, 213, 102, 210, 73, 181, 95, 203)(66, 174, 92, 200, 106, 214, 103, 211, 76, 184, 98, 206)(67, 175, 91, 199, 107, 215, 100, 208, 70, 178, 97, 205)(68, 176, 94, 202, 108, 216, 101, 209, 72, 180, 96, 204)(217, 325, 219, 327, 226, 334, 246, 354, 233, 341, 221, 329)(218, 326, 223, 331, 238, 346, 271, 379, 242, 350, 224, 332)(220, 328, 228, 336, 251, 359, 285, 393, 255, 363, 230, 338)(222, 330, 235, 343, 265, 373, 303, 411, 267, 375, 236, 344)(225, 333, 243, 351, 281, 389, 260, 368, 282, 390, 244, 352)(227, 335, 248, 356, 289, 397, 261, 369, 292, 400, 250, 358)(229, 337, 249, 357, 287, 395, 315, 423, 295, 403, 253, 361)(231, 339, 256, 364, 284, 392, 245, 353, 283, 391, 257, 365)(232, 340, 258, 366, 288, 396, 247, 355, 286, 394, 259, 367)(234, 342, 262, 370, 298, 406, 320, 428, 299, 407, 263, 371)(237, 345, 268, 376, 307, 415, 279, 387, 308, 416, 269, 377)(239, 347, 273, 381, 313, 421, 280, 388, 314, 422, 274, 382)(240, 348, 275, 383, 310, 418, 270, 378, 309, 417, 276, 384)(241, 349, 277, 385, 312, 420, 272, 380, 311, 419, 278, 386)(252, 360, 290, 398, 316, 424, 297, 405, 319, 427, 294, 402)(254, 362, 291, 399, 317, 425, 293, 401, 318, 426, 296, 404)(264, 372, 300, 408, 321, 429, 306, 414, 322, 430, 301, 409)(266, 374, 304, 412, 324, 432, 302, 410, 323, 431, 305, 413)
	L = (1, 220)(2, 217)(3, 227)(4, 229)(5, 232)(6, 218)(7, 239)(8, 241)(9, 219)(10, 247)(11, 249)(12, 252)(13, 234)(14, 254)(15, 221)(16, 253)(17, 261)(18, 222)(19, 225)(20, 231)(21, 223)(22, 272)(23, 228)(24, 224)(25, 230)(26, 280)(27, 273)(28, 277)(29, 226)(30, 285)(31, 287)(32, 290)(33, 264)(34, 291)(35, 293)(36, 262)(37, 266)(38, 263)(39, 297)(40, 274)(41, 278)(42, 294)(43, 296)(44, 233)(45, 295)(46, 237)(47, 240)(48, 235)(49, 245)(50, 236)(51, 260)(52, 243)(53, 256)(54, 238)(55, 246)(56, 251)(57, 248)(58, 258)(59, 244)(60, 257)(61, 250)(62, 259)(63, 242)(64, 255)(65, 311)(66, 314)(67, 313)(68, 312)(69, 315)(70, 316)(71, 302)(72, 317)(73, 318)(74, 300)(75, 301)(76, 319)(77, 298)(78, 304)(79, 306)(80, 305)(81, 299)(82, 270)(83, 279)(84, 268)(85, 275)(86, 265)(87, 271)(88, 269)(89, 276)(90, 267)(91, 283)(92, 282)(93, 281)(94, 284)(95, 289)(96, 288)(97, 286)(98, 292)(99, 320)(100, 323)(101, 324)(102, 321)(103, 322)(104, 303)(105, 309)(106, 308)(107, 307)(108, 310)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2349
Graph:: bipartite
	v = 36 e = 216 f = 126
	degree seq :: [ 12^36 ]

E28.2349 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 6})
Quotient :: dipole
Aut^+ = C3 x C6 x S3 (small group id <108, 42>)
Aut   = C2 x (((C3 x C3) : C2) x S3) (small group id <216, 171>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y2^-2 * Y3 * Y2, Y2^6, Y3 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2^-1, Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2, Y3^3 * Y2 * Y3^-3 * Y2^-1, (Y2^-1 * Y3)^6, (Y3^-1 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)(217, 325, 218, 326, 222, 330, 234, 342, 229, 337, 220, 328)(219, 327, 225, 333, 235, 343, 264, 372, 249, 357, 227, 335)(221, 329, 231, 339, 236, 344, 266, 374, 253, 361, 232, 340)(223, 331, 237, 345, 262, 370, 252, 360, 228, 336, 239, 347)(224, 332, 240, 348, 263, 371, 254, 362, 230, 338, 241, 349)(226, 334, 245, 353, 265, 373, 302, 410, 287, 395, 247, 355)(233, 341, 260, 368, 267, 375, 306, 414, 295, 403, 261, 369)(238, 346, 270, 378, 298, 406, 293, 401, 251, 359, 272, 380)(242, 350, 279, 387, 299, 407, 297, 405, 255, 363, 280, 388)(243, 351, 268, 376, 300, 408, 290, 398, 248, 356, 273, 381)(244, 352, 275, 383, 301, 409, 291, 399, 250, 358, 277, 385)(246, 354, 271, 379, 303, 411, 320, 428, 315, 423, 285, 393)(256, 364, 269, 377, 304, 412, 294, 402, 258, 366, 274, 382)(257, 365, 276, 384, 305, 413, 296, 404, 259, 367, 278, 386)(281, 389, 309, 417, 321, 429, 318, 426, 289, 397, 311, 419)(282, 390, 308, 416, 322, 430, 319, 427, 292, 400, 314, 422)(283, 391, 307, 415, 323, 431, 316, 424, 286, 394, 313, 421)(284, 392, 310, 418, 324, 432, 317, 425, 288, 396, 312, 420)
	L = (1, 219)(2, 223)(3, 226)(4, 228)(5, 217)(6, 235)(7, 238)(8, 218)(9, 243)(10, 246)(11, 248)(12, 251)(13, 249)(14, 220)(15, 256)(16, 258)(17, 221)(18, 262)(19, 265)(20, 222)(21, 268)(22, 271)(23, 273)(24, 275)(25, 277)(26, 224)(27, 281)(28, 225)(29, 283)(30, 233)(31, 286)(32, 289)(33, 287)(34, 227)(35, 285)(36, 290)(37, 229)(38, 291)(39, 230)(40, 284)(41, 231)(42, 288)(43, 232)(44, 282)(45, 292)(46, 298)(47, 234)(48, 300)(49, 303)(50, 304)(51, 236)(52, 307)(53, 237)(54, 309)(55, 242)(56, 311)(57, 313)(58, 239)(59, 310)(60, 240)(61, 312)(62, 241)(63, 308)(64, 314)(65, 260)(66, 244)(67, 257)(68, 245)(69, 255)(70, 259)(71, 315)(72, 247)(73, 261)(74, 316)(75, 317)(76, 250)(77, 318)(78, 252)(79, 253)(80, 254)(81, 319)(82, 320)(83, 263)(84, 321)(85, 264)(86, 323)(87, 267)(88, 324)(89, 266)(90, 322)(91, 279)(92, 269)(93, 276)(94, 270)(95, 278)(96, 272)(97, 280)(98, 274)(99, 295)(100, 297)(101, 293)(102, 296)(103, 294)(104, 299)(105, 306)(106, 301)(107, 305)(108, 302)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 12, 12 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2348
Graph:: simple bipartite
	v = 126 e = 216 f = 36
	degree seq :: [ 2^108, 12^18 ]

E28.2350 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 6, 12})
Quotient :: edge
Aut^+ = ((C3 x C3) : C4) : C3 (small group id <108, 8>)
Aut   = (C2 x (((C3 x C3) : C3) : C2)) : C2 (small group id <216, 37>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T1^-1 * T2^3 * T1^-1, T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2, T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 10, 6, 16, 5)(2, 7, 13, 4, 12, 8)(9, 21, 24, 11, 23, 22)(14, 25, 28, 15, 27, 26)(17, 29, 32, 18, 31, 30)(19, 33, 36, 20, 35, 34)(37, 53, 56, 38, 55, 54)(39, 57, 60, 40, 59, 58)(41, 61, 64, 42, 63, 62)(43, 65, 68, 44, 67, 66)(45, 69, 72, 46, 71, 70)(47, 73, 76, 48, 75, 74)(49, 77, 80, 50, 79, 78)(51, 81, 84, 52, 83, 82)(85, 92, 102, 86, 91, 101)(87, 103, 89, 88, 104, 90)(93, 100, 106, 94, 99, 105)(95, 107, 97, 96, 108, 98)(109, 110, 114, 112)(111, 117, 124, 119)(113, 122, 118, 123)(115, 125, 120, 126)(116, 127, 121, 128)(129, 145, 131, 146)(130, 147, 132, 148)(133, 149, 135, 150)(134, 151, 136, 152)(137, 153, 139, 154)(138, 155, 140, 156)(141, 157, 143, 158)(142, 159, 144, 160)(161, 190, 163, 192)(162, 193, 164, 194)(165, 181, 167, 183)(166, 195, 168, 196)(169, 197, 171, 198)(170, 186, 172, 188)(173, 199, 175, 200)(174, 177, 176, 179)(178, 201, 180, 202)(182, 203, 184, 204)(185, 205, 187, 206)(189, 207, 191, 208)(209, 215, 210, 216)(211, 213, 212, 214)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 24^4 ), ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2354
Transitivity :: ET+
Graph:: bipartite
	v = 45 e = 108 f = 9
	degree seq :: [ 4^27, 6^18 ]

E28.2351 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 6, 12})
Quotient :: edge
Aut^+ = ((C3 x C3) : C4) : C3 (small group id <108, 8>)
Aut   = (C2 x (((C3 x C3) : C3) : C2)) : C2 (small group id <216, 37>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2 * T1^-2 * T2 * T1, T1^6, T1^-1 * T2^5 * T1^-1 * T2^-1, (T2^-1 * T1 * T2^-1)^3, T1^-1 * T2 * T1^-1 * T2^2 * T1 * T2^-1 * T1 * T2^-2 ]
Map:: non-degenerate
	R = (1, 3, 10, 27, 44, 20, 18, 34, 64, 42, 17, 5)(2, 7, 21, 46, 68, 33, 13, 16, 38, 52, 23, 8)(4, 12, 31, 55, 25, 9, 6, 19, 43, 69, 35, 14)(11, 29, 62, 93, 57, 26, 24, 53, 88, 98, 65, 30)(15, 36, 70, 102, 78, 45, 39, 41, 74, 103, 71, 37)(22, 48, 83, 107, 100, 67, 32, 51, 85, 108, 84, 49)(28, 60, 50, 80, 94, 58, 56, 92, 86, 87, 96, 61)(40, 59, 95, 90, 77, 101, 75, 76, 104, 99, 66, 73)(47, 81, 54, 89, 105, 79, 72, 97, 63, 91, 106, 82)(109, 110, 114, 126, 121, 112)(111, 117, 132, 142, 122, 119)(113, 123, 115, 128, 147, 124)(116, 130, 127, 141, 140, 120)(118, 134, 164, 172, 138, 136)(125, 148, 144, 152, 183, 149)(129, 153, 180, 146, 145, 155)(131, 158, 156, 176, 194, 159)(133, 162, 161, 143, 171, 137)(135, 166, 184, 150, 169, 167)(139, 157, 185, 151, 175, 174)(154, 187, 195, 160, 190, 188)(163, 198, 197, 177, 207, 199)(165, 191, 200, 173, 193, 168)(170, 189, 186, 196, 205, 179)(178, 209, 208, 182, 181, 192)(201, 210, 215, 206, 211, 216)(202, 213, 212, 204, 214, 203)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 8^6 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2355
Transitivity :: ET+
Graph:: bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.2352 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 6, 12})
Quotient :: edge
Aut^+ = ((C3 x C3) : C4) : C3 (small group id <108, 8>)
Aut   = (C2 x (((C3 x C3) : C3) : C2)) : C2 (small group id <216, 37>)
|r| :: 2
Presentation :: [ F^2, T2^4, (F * T1)^2, (F * T2)^2, T2^2 * T1^-1 * T2^2 * T1, T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1, (T2^-1 * T1)^3, T1^-1 * T2^2 * T1^-5, T2 * T1^-2 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-2 ]
Map:: non-degenerate
	R = (1, 3, 10, 5)(2, 7, 21, 8)(4, 12, 28, 14)(6, 18, 41, 19)(9, 26, 15, 27)(11, 23, 16, 20)(13, 31, 37, 33)(17, 38, 32, 39)(22, 43, 24, 40)(25, 50, 35, 51)(29, 54, 36, 56)(30, 58, 34, 59)(42, 65, 44, 63)(45, 72, 47, 73)(46, 74, 48, 76)(49, 77, 55, 78)(52, 81, 53, 79)(57, 87, 62, 88)(60, 66, 61, 64)(67, 98, 69, 99)(68, 100, 70, 102)(71, 103, 75, 104)(80, 96, 82, 94)(83, 97, 84, 101)(85, 93, 86, 95)(89, 106, 90, 105)(91, 107, 92, 108)(109, 110, 114, 125, 145, 136, 118, 129, 149, 140, 121, 112)(111, 117, 133, 157, 144, 124, 113, 123, 143, 163, 137, 119)(115, 128, 153, 179, 156, 132, 116, 131, 155, 183, 154, 130)(120, 138, 165, 192, 161, 135, 122, 142, 170, 191, 160, 134)(126, 148, 175, 205, 178, 152, 127, 151, 177, 209, 176, 150)(139, 168, 199, 211, 198, 167, 141, 169, 200, 212, 197, 166)(146, 171, 201, 186, 204, 174, 147, 173, 203, 185, 202, 172)(158, 187, 206, 184, 216, 190, 159, 189, 207, 182, 215, 188)(162, 193, 208, 195, 213, 180, 164, 194, 210, 196, 214, 181)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12^4 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2353
Transitivity :: ET+
Graph:: bipartite
	v = 36 e = 108 f = 18
	degree seq :: [ 4^27, 12^9 ]

E28.2353 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 6, 12})
Quotient :: loop
Aut^+ = ((C3 x C3) : C4) : C3 (small group id <108, 8>)
Aut   = (C2 x (((C3 x C3) : C3) : C2)) : C2 (small group id <216, 37>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T1^-1 * T2^3 * T1^-1, T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2, T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 109, 3, 111, 10, 118, 6, 114, 16, 124, 5, 113)(2, 110, 7, 115, 13, 121, 4, 112, 12, 120, 8, 116)(9, 117, 21, 129, 24, 132, 11, 119, 23, 131, 22, 130)(14, 122, 25, 133, 28, 136, 15, 123, 27, 135, 26, 134)(17, 125, 29, 137, 32, 140, 18, 126, 31, 139, 30, 138)(19, 127, 33, 141, 36, 144, 20, 128, 35, 143, 34, 142)(37, 145, 53, 161, 56, 164, 38, 146, 55, 163, 54, 162)(39, 147, 57, 165, 60, 168, 40, 148, 59, 167, 58, 166)(41, 149, 61, 169, 64, 172, 42, 150, 63, 171, 62, 170)(43, 151, 65, 173, 68, 176, 44, 152, 67, 175, 66, 174)(45, 153, 69, 177, 72, 180, 46, 154, 71, 179, 70, 178)(47, 155, 73, 181, 76, 184, 48, 156, 75, 183, 74, 182)(49, 157, 77, 185, 80, 188, 50, 158, 79, 187, 78, 186)(51, 159, 81, 189, 84, 192, 52, 160, 83, 191, 82, 190)(85, 193, 92, 200, 102, 210, 86, 194, 91, 199, 101, 209)(87, 195, 103, 211, 89, 197, 88, 196, 104, 212, 90, 198)(93, 201, 100, 208, 106, 214, 94, 202, 99, 207, 105, 213)(95, 203, 107, 215, 97, 205, 96, 204, 108, 216, 98, 206)
	L = (1, 110)(2, 114)(3, 117)(4, 109)(5, 122)(6, 112)(7, 125)(8, 127)(9, 124)(10, 123)(11, 111)(12, 126)(13, 128)(14, 118)(15, 113)(16, 119)(17, 120)(18, 115)(19, 121)(20, 116)(21, 145)(22, 147)(23, 146)(24, 148)(25, 149)(26, 151)(27, 150)(28, 152)(29, 153)(30, 155)(31, 154)(32, 156)(33, 157)(34, 159)(35, 158)(36, 160)(37, 131)(38, 129)(39, 132)(40, 130)(41, 135)(42, 133)(43, 136)(44, 134)(45, 139)(46, 137)(47, 140)(48, 138)(49, 143)(50, 141)(51, 144)(52, 142)(53, 190)(54, 193)(55, 192)(56, 194)(57, 181)(58, 195)(59, 183)(60, 196)(61, 197)(62, 186)(63, 198)(64, 188)(65, 199)(66, 177)(67, 200)(68, 179)(69, 176)(70, 201)(71, 174)(72, 202)(73, 167)(74, 203)(75, 165)(76, 204)(77, 205)(78, 172)(79, 206)(80, 170)(81, 207)(82, 163)(83, 208)(84, 161)(85, 164)(86, 162)(87, 168)(88, 166)(89, 171)(90, 169)(91, 175)(92, 173)(93, 180)(94, 178)(95, 184)(96, 182)(97, 187)(98, 185)(99, 191)(100, 189)(101, 215)(102, 216)(103, 213)(104, 214)(105, 212)(106, 211)(107, 210)(108, 209)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2352
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 12^18 ]

E28.2354 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 6, 12})
Quotient :: loop
Aut^+ = ((C3 x C3) : C4) : C3 (small group id <108, 8>)
Aut   = (C2 x (((C3 x C3) : C3) : C2)) : C2 (small group id <216, 37>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2 * T1^-2 * T2 * T1, T1^6, T1^-1 * T2^5 * T1^-1 * T2^-1, (T2^-1 * T1 * T2^-1)^3, T1^-1 * T2 * T1^-1 * T2^2 * T1 * T2^-1 * T1 * T2^-2 ]
Map:: non-degenerate
	R = (1, 109, 3, 111, 10, 118, 27, 135, 44, 152, 20, 128, 18, 126, 34, 142, 64, 172, 42, 150, 17, 125, 5, 113)(2, 110, 7, 115, 21, 129, 46, 154, 68, 176, 33, 141, 13, 121, 16, 124, 38, 146, 52, 160, 23, 131, 8, 116)(4, 112, 12, 120, 31, 139, 55, 163, 25, 133, 9, 117, 6, 114, 19, 127, 43, 151, 69, 177, 35, 143, 14, 122)(11, 119, 29, 137, 62, 170, 93, 201, 57, 165, 26, 134, 24, 132, 53, 161, 88, 196, 98, 206, 65, 173, 30, 138)(15, 123, 36, 144, 70, 178, 102, 210, 78, 186, 45, 153, 39, 147, 41, 149, 74, 182, 103, 211, 71, 179, 37, 145)(22, 130, 48, 156, 83, 191, 107, 215, 100, 208, 67, 175, 32, 140, 51, 159, 85, 193, 108, 216, 84, 192, 49, 157)(28, 136, 60, 168, 50, 158, 80, 188, 94, 202, 58, 166, 56, 164, 92, 200, 86, 194, 87, 195, 96, 204, 61, 169)(40, 148, 59, 167, 95, 203, 90, 198, 77, 185, 101, 209, 75, 183, 76, 184, 104, 212, 99, 207, 66, 174, 73, 181)(47, 155, 81, 189, 54, 162, 89, 197, 105, 213, 79, 187, 72, 180, 97, 205, 63, 171, 91, 199, 106, 214, 82, 190)
	L = (1, 110)(2, 114)(3, 117)(4, 109)(5, 123)(6, 126)(7, 128)(8, 130)(9, 132)(10, 134)(11, 111)(12, 116)(13, 112)(14, 119)(15, 115)(16, 113)(17, 148)(18, 121)(19, 141)(20, 147)(21, 153)(22, 127)(23, 158)(24, 142)(25, 162)(26, 164)(27, 166)(28, 118)(29, 133)(30, 136)(31, 157)(32, 120)(33, 140)(34, 122)(35, 171)(36, 152)(37, 155)(38, 145)(39, 124)(40, 144)(41, 125)(42, 169)(43, 175)(44, 183)(45, 180)(46, 187)(47, 129)(48, 176)(49, 185)(50, 156)(51, 131)(52, 190)(53, 143)(54, 161)(55, 198)(56, 172)(57, 191)(58, 184)(59, 135)(60, 165)(61, 167)(62, 189)(63, 137)(64, 138)(65, 193)(66, 139)(67, 174)(68, 194)(69, 207)(70, 209)(71, 170)(72, 146)(73, 192)(74, 181)(75, 149)(76, 150)(77, 151)(78, 196)(79, 195)(80, 154)(81, 186)(82, 188)(83, 200)(84, 178)(85, 168)(86, 159)(87, 160)(88, 205)(89, 177)(90, 197)(91, 163)(92, 173)(93, 210)(94, 213)(95, 202)(96, 214)(97, 179)(98, 211)(99, 199)(100, 182)(101, 208)(102, 215)(103, 216)(104, 204)(105, 212)(106, 203)(107, 206)(108, 201)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2350
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 108 f = 45
	degree seq :: [ 24^9 ]

E28.2355 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 6, 12})
Quotient :: loop
Aut^+ = ((C3 x C3) : C4) : C3 (small group id <108, 8>)
Aut   = (C2 x (((C3 x C3) : C3) : C2)) : C2 (small group id <216, 37>)
|r| :: 2
Presentation :: [ F^2, T2^4, (F * T1)^2, (F * T2)^2, T2^2 * T1^-1 * T2^2 * T1, T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1, (T2^-1 * T1)^3, T1^-1 * T2^2 * T1^-5, T2 * T1^-2 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-2 ]
Map:: non-degenerate
	R = (1, 109, 3, 111, 10, 118, 5, 113)(2, 110, 7, 115, 21, 129, 8, 116)(4, 112, 12, 120, 28, 136, 14, 122)(6, 114, 18, 126, 41, 149, 19, 127)(9, 117, 26, 134, 15, 123, 27, 135)(11, 119, 23, 131, 16, 124, 20, 128)(13, 121, 31, 139, 37, 145, 33, 141)(17, 125, 38, 146, 32, 140, 39, 147)(22, 130, 43, 151, 24, 132, 40, 148)(25, 133, 50, 158, 35, 143, 51, 159)(29, 137, 54, 162, 36, 144, 56, 164)(30, 138, 58, 166, 34, 142, 59, 167)(42, 150, 65, 173, 44, 152, 63, 171)(45, 153, 72, 180, 47, 155, 73, 181)(46, 154, 74, 182, 48, 156, 76, 184)(49, 157, 77, 185, 55, 163, 78, 186)(52, 160, 81, 189, 53, 161, 79, 187)(57, 165, 87, 195, 62, 170, 88, 196)(60, 168, 66, 174, 61, 169, 64, 172)(67, 175, 98, 206, 69, 177, 99, 207)(68, 176, 100, 208, 70, 178, 102, 210)(71, 179, 103, 211, 75, 183, 104, 212)(80, 188, 96, 204, 82, 190, 94, 202)(83, 191, 97, 205, 84, 192, 101, 209)(85, 193, 93, 201, 86, 194, 95, 203)(89, 197, 106, 214, 90, 198, 105, 213)(91, 199, 107, 215, 92, 200, 108, 216)
	L = (1, 110)(2, 114)(3, 117)(4, 109)(5, 123)(6, 125)(7, 128)(8, 131)(9, 133)(10, 129)(11, 111)(12, 138)(13, 112)(14, 142)(15, 143)(16, 113)(17, 145)(18, 148)(19, 151)(20, 153)(21, 149)(22, 115)(23, 155)(24, 116)(25, 157)(26, 120)(27, 122)(28, 118)(29, 119)(30, 165)(31, 168)(32, 121)(33, 169)(34, 170)(35, 163)(36, 124)(37, 136)(38, 171)(39, 173)(40, 175)(41, 140)(42, 126)(43, 177)(44, 127)(45, 179)(46, 130)(47, 183)(48, 132)(49, 144)(50, 187)(51, 189)(52, 134)(53, 135)(54, 193)(55, 137)(56, 194)(57, 192)(58, 139)(59, 141)(60, 199)(61, 200)(62, 191)(63, 201)(64, 146)(65, 203)(66, 147)(67, 205)(68, 150)(69, 209)(70, 152)(71, 156)(72, 164)(73, 162)(74, 215)(75, 154)(76, 216)(77, 202)(78, 204)(79, 206)(80, 158)(81, 207)(82, 159)(83, 160)(84, 161)(85, 208)(86, 210)(87, 213)(88, 214)(89, 166)(90, 167)(91, 211)(92, 212)(93, 186)(94, 172)(95, 185)(96, 174)(97, 178)(98, 184)(99, 182)(100, 195)(101, 176)(102, 196)(103, 198)(104, 197)(105, 180)(106, 181)(107, 188)(108, 190)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2351
Transitivity :: ET+ VT+ AT
Graph::
	v = 27 e = 108 f = 27
	degree seq :: [ 8^27 ]

E28.2356 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C4) : C3 (small group id <108, 8>)
Aut   = (C2 x (((C3 x C3) : C3) : C2)) : C2 (small group id <216, 37>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y3^-1 * Y1^-1, Y1^-1 * Y3^2 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, Y1^4, Y1^-1 * Y2^3 * Y3, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1, Y1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y1 * Y2 * Y3 * Y2 * Y1^-1 * Y2, Y2 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 109, 2, 110, 6, 114, 4, 112)(3, 111, 9, 117, 16, 124, 11, 119)(5, 113, 14, 122, 10, 118, 15, 123)(7, 115, 17, 125, 12, 120, 18, 126)(8, 116, 19, 127, 13, 121, 20, 128)(21, 129, 37, 145, 23, 131, 38, 146)(22, 130, 39, 147, 24, 132, 40, 148)(25, 133, 41, 149, 27, 135, 42, 150)(26, 134, 43, 151, 28, 136, 44, 152)(29, 137, 45, 153, 31, 139, 46, 154)(30, 138, 47, 155, 32, 140, 48, 156)(33, 141, 49, 157, 35, 143, 50, 158)(34, 142, 51, 159, 36, 144, 52, 160)(53, 161, 82, 190, 55, 163, 84, 192)(54, 162, 85, 193, 56, 164, 86, 194)(57, 165, 73, 181, 59, 167, 75, 183)(58, 166, 87, 195, 60, 168, 88, 196)(61, 169, 89, 197, 63, 171, 90, 198)(62, 170, 78, 186, 64, 172, 80, 188)(65, 173, 91, 199, 67, 175, 92, 200)(66, 174, 69, 177, 68, 176, 71, 179)(70, 178, 93, 201, 72, 180, 94, 202)(74, 182, 95, 203, 76, 184, 96, 204)(77, 185, 97, 205, 79, 187, 98, 206)(81, 189, 99, 207, 83, 191, 100, 208)(101, 209, 107, 215, 102, 210, 108, 216)(103, 211, 105, 213, 104, 212, 106, 214)(217, 325, 219, 327, 226, 334, 222, 330, 232, 340, 221, 329)(218, 326, 223, 331, 229, 337, 220, 328, 228, 336, 224, 332)(225, 333, 237, 345, 240, 348, 227, 335, 239, 347, 238, 346)(230, 338, 241, 349, 244, 352, 231, 339, 243, 351, 242, 350)(233, 341, 245, 353, 248, 356, 234, 342, 247, 355, 246, 354)(235, 343, 249, 357, 252, 360, 236, 344, 251, 359, 250, 358)(253, 361, 269, 377, 272, 380, 254, 362, 271, 379, 270, 378)(255, 363, 273, 381, 276, 384, 256, 364, 275, 383, 274, 382)(257, 365, 277, 385, 280, 388, 258, 366, 279, 387, 278, 386)(259, 367, 281, 389, 284, 392, 260, 368, 283, 391, 282, 390)(261, 369, 285, 393, 288, 396, 262, 370, 287, 395, 286, 394)(263, 371, 289, 397, 292, 400, 264, 372, 291, 399, 290, 398)(265, 373, 293, 401, 296, 404, 266, 374, 295, 403, 294, 402)(267, 375, 297, 405, 300, 408, 268, 376, 299, 407, 298, 406)(301, 409, 308, 416, 318, 426, 302, 410, 307, 415, 317, 425)(303, 411, 319, 427, 305, 413, 304, 412, 320, 428, 306, 414)(309, 417, 316, 424, 322, 430, 310, 418, 315, 423, 321, 429)(311, 419, 323, 431, 313, 421, 312, 420, 324, 432, 314, 422)
	L = (1, 220)(2, 217)(3, 227)(4, 222)(5, 231)(6, 218)(7, 234)(8, 236)(9, 219)(10, 230)(11, 232)(12, 233)(13, 235)(14, 221)(15, 226)(16, 225)(17, 223)(18, 228)(19, 224)(20, 229)(21, 254)(22, 256)(23, 253)(24, 255)(25, 258)(26, 260)(27, 257)(28, 259)(29, 262)(30, 264)(31, 261)(32, 263)(33, 266)(34, 268)(35, 265)(36, 267)(37, 237)(38, 239)(39, 238)(40, 240)(41, 241)(42, 243)(43, 242)(44, 244)(45, 245)(46, 247)(47, 246)(48, 248)(49, 249)(50, 251)(51, 250)(52, 252)(53, 300)(54, 302)(55, 298)(56, 301)(57, 291)(58, 304)(59, 289)(60, 303)(61, 306)(62, 296)(63, 305)(64, 294)(65, 308)(66, 287)(67, 307)(68, 285)(69, 282)(70, 310)(71, 284)(72, 309)(73, 273)(74, 312)(75, 275)(76, 311)(77, 314)(78, 278)(79, 313)(80, 280)(81, 316)(82, 269)(83, 315)(84, 271)(85, 270)(86, 272)(87, 274)(88, 276)(89, 277)(90, 279)(91, 281)(92, 283)(93, 286)(94, 288)(95, 290)(96, 292)(97, 293)(98, 295)(99, 297)(100, 299)(101, 324)(102, 323)(103, 322)(104, 321)(105, 319)(106, 320)(107, 317)(108, 318)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.2359
Graph:: bipartite
	v = 45 e = 216 f = 117
	degree seq :: [ 8^27, 12^18 ]

E28.2357 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C4) : C3 (small group id <108, 8>)
Aut   = (C2 x (((C3 x C3) : C3) : C2)) : C2 (small group id <216, 37>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1 * Y2 * Y1^-2 * Y2, Y1^6, Y2^-2 * Y1 * Y2 * Y1 * Y2^-3, (Y3^-1 * Y1^-1)^4, (Y2^-1 * Y1 * Y2^-1)^3, Y2^2 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1^-1 * Y2 * Y1^-1 ]
Map::
	R = (1, 109, 2, 110, 6, 114, 18, 126, 13, 121, 4, 112)(3, 111, 9, 117, 24, 132, 34, 142, 14, 122, 11, 119)(5, 113, 15, 123, 7, 115, 20, 128, 39, 147, 16, 124)(8, 116, 22, 130, 19, 127, 33, 141, 32, 140, 12, 120)(10, 118, 26, 134, 56, 164, 64, 172, 30, 138, 28, 136)(17, 125, 40, 148, 36, 144, 44, 152, 75, 183, 41, 149)(21, 129, 45, 153, 72, 180, 38, 146, 37, 145, 47, 155)(23, 131, 50, 158, 48, 156, 68, 176, 86, 194, 51, 159)(25, 133, 54, 162, 53, 161, 35, 143, 63, 171, 29, 137)(27, 135, 58, 166, 76, 184, 42, 150, 61, 169, 59, 167)(31, 139, 49, 157, 77, 185, 43, 151, 67, 175, 66, 174)(46, 154, 79, 187, 87, 195, 52, 160, 82, 190, 80, 188)(55, 163, 90, 198, 89, 197, 69, 177, 99, 207, 91, 199)(57, 165, 83, 191, 92, 200, 65, 173, 85, 193, 60, 168)(62, 170, 81, 189, 78, 186, 88, 196, 97, 205, 71, 179)(70, 178, 101, 209, 100, 208, 74, 182, 73, 181, 84, 192)(93, 201, 102, 210, 107, 215, 98, 206, 103, 211, 108, 216)(94, 202, 105, 213, 104, 212, 96, 204, 106, 214, 95, 203)(217, 325, 219, 327, 226, 334, 243, 351, 260, 368, 236, 344, 234, 342, 250, 358, 280, 388, 258, 366, 233, 341, 221, 329)(218, 326, 223, 331, 237, 345, 262, 370, 284, 392, 249, 357, 229, 337, 232, 340, 254, 362, 268, 376, 239, 347, 224, 332)(220, 328, 228, 336, 247, 355, 271, 379, 241, 349, 225, 333, 222, 330, 235, 343, 259, 367, 285, 393, 251, 359, 230, 338)(227, 335, 245, 353, 278, 386, 309, 417, 273, 381, 242, 350, 240, 348, 269, 377, 304, 412, 314, 422, 281, 389, 246, 354)(231, 339, 252, 360, 286, 394, 318, 426, 294, 402, 261, 369, 255, 363, 257, 365, 290, 398, 319, 427, 287, 395, 253, 361)(238, 346, 264, 372, 299, 407, 323, 431, 316, 424, 283, 391, 248, 356, 267, 375, 301, 409, 324, 432, 300, 408, 265, 373)(244, 352, 276, 384, 266, 374, 296, 404, 310, 418, 274, 382, 272, 380, 308, 416, 302, 410, 303, 411, 312, 420, 277, 385)(256, 364, 275, 383, 311, 419, 306, 414, 293, 401, 317, 425, 291, 399, 292, 400, 320, 428, 315, 423, 282, 390, 289, 397)(263, 371, 297, 405, 270, 378, 305, 413, 321, 429, 295, 403, 288, 396, 313, 421, 279, 387, 307, 415, 322, 430, 298, 406)
	L = (1, 219)(2, 223)(3, 226)(4, 228)(5, 217)(6, 235)(7, 237)(8, 218)(9, 222)(10, 243)(11, 245)(12, 247)(13, 232)(14, 220)(15, 252)(16, 254)(17, 221)(18, 250)(19, 259)(20, 234)(21, 262)(22, 264)(23, 224)(24, 269)(25, 225)(26, 240)(27, 260)(28, 276)(29, 278)(30, 227)(31, 271)(32, 267)(33, 229)(34, 280)(35, 230)(36, 286)(37, 231)(38, 268)(39, 257)(40, 275)(41, 290)(42, 233)(43, 285)(44, 236)(45, 255)(46, 284)(47, 297)(48, 299)(49, 238)(50, 296)(51, 301)(52, 239)(53, 304)(54, 305)(55, 241)(56, 308)(57, 242)(58, 272)(59, 311)(60, 266)(61, 244)(62, 309)(63, 307)(64, 258)(65, 246)(66, 289)(67, 248)(68, 249)(69, 251)(70, 318)(71, 253)(72, 313)(73, 256)(74, 319)(75, 292)(76, 320)(77, 317)(78, 261)(79, 288)(80, 310)(81, 270)(82, 263)(83, 323)(84, 265)(85, 324)(86, 303)(87, 312)(88, 314)(89, 321)(90, 293)(91, 322)(92, 302)(93, 273)(94, 274)(95, 306)(96, 277)(97, 279)(98, 281)(99, 282)(100, 283)(101, 291)(102, 294)(103, 287)(104, 315)(105, 295)(106, 298)(107, 316)(108, 300)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.2358
Graph:: bipartite
	v = 27 e = 216 f = 135
	degree seq :: [ 12^18, 24^9 ]

E28.2358 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C4) : C3 (small group id <108, 8>)
Aut   = (C2 x (((C3 x C3) : C3) : C2)) : C2 (small group id <216, 37>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y2^4, Y2^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y3, Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3 * Y2^-2 * Y3^-1 * Y2^-2, (R * Y2^-2)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^3, Y3^4 * Y2^-2 * Y3^2, Y3^-2 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3^-2 * Y2^-1, Y3^2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2^-1 * Y3^2 * Y2^-1, (Y3^-1 * Y1^-1)^12 ]
Map::
	R = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)(217, 325, 218, 326, 222, 330, 220, 328)(219, 327, 225, 333, 233, 341, 227, 335)(221, 329, 230, 338, 234, 342, 231, 339)(223, 331, 235, 343, 228, 336, 237, 345)(224, 332, 238, 346, 229, 337, 239, 347)(226, 334, 242, 350, 253, 361, 244, 352)(232, 340, 250, 358, 254, 362, 251, 359)(236, 344, 256, 364, 246, 354, 258, 366)(240, 348, 262, 370, 247, 355, 263, 371)(241, 349, 265, 373, 245, 353, 266, 374)(243, 351, 269, 377, 252, 360, 270, 378)(248, 356, 273, 381, 249, 357, 275, 383)(255, 363, 279, 387, 259, 367, 280, 388)(257, 365, 283, 391, 264, 372, 284, 392)(260, 368, 287, 395, 261, 369, 289, 397)(267, 375, 295, 403, 272, 380, 296, 404)(268, 376, 297, 405, 271, 379, 298, 406)(274, 382, 304, 412, 276, 384, 305, 413)(277, 385, 300, 408, 278, 386, 301, 409)(281, 389, 311, 419, 286, 394, 312, 420)(282, 390, 313, 421, 285, 393, 314, 422)(288, 396, 320, 428, 290, 398, 321, 429)(291, 399, 316, 424, 292, 400, 317, 425)(293, 401, 309, 417, 294, 402, 310, 418)(299, 407, 323, 431, 302, 410, 324, 432)(303, 411, 319, 427, 306, 414, 322, 430)(307, 415, 315, 423, 308, 416, 318, 426)
	L = (1, 219)(2, 223)(3, 226)(4, 228)(5, 217)(6, 233)(7, 236)(8, 218)(9, 238)(10, 243)(11, 239)(12, 246)(13, 220)(14, 248)(15, 249)(16, 221)(17, 253)(18, 222)(19, 231)(20, 257)(21, 230)(22, 260)(23, 261)(24, 224)(25, 225)(26, 265)(27, 254)(28, 266)(29, 227)(30, 264)(31, 229)(32, 274)(33, 276)(34, 277)(35, 278)(36, 232)(37, 252)(38, 234)(39, 235)(40, 279)(41, 247)(42, 280)(43, 237)(44, 288)(45, 290)(46, 291)(47, 292)(48, 240)(49, 293)(50, 294)(51, 241)(52, 242)(53, 297)(54, 298)(55, 244)(56, 245)(57, 251)(58, 281)(59, 250)(60, 286)(61, 307)(62, 308)(63, 309)(64, 310)(65, 255)(66, 256)(67, 313)(68, 314)(69, 258)(70, 259)(71, 263)(72, 272)(73, 262)(74, 267)(75, 323)(76, 324)(77, 311)(78, 312)(79, 315)(80, 318)(81, 316)(82, 317)(83, 268)(84, 269)(85, 270)(86, 271)(87, 273)(88, 319)(89, 322)(90, 275)(91, 321)(92, 320)(93, 296)(94, 295)(95, 302)(96, 299)(97, 301)(98, 300)(99, 282)(100, 283)(101, 284)(102, 285)(103, 287)(104, 306)(105, 303)(106, 289)(107, 304)(108, 305)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.2357
Graph:: simple bipartite
	v = 135 e = 216 f = 27
	degree seq :: [ 2^108, 8^27 ]

E28.2359 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C4) : C3 (small group id <108, 8>)
Aut   = (C2 x (((C3 x C3) : C3) : C2)) : C2 (small group id <216, 37>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, Y3^4, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1, (Y3^-1 * Y1)^3, Y3^2 * Y1^-1 * Y3^2 * Y1, (Y3 * Y2^-1)^4, Y1^-6 * Y3^2, Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2, Y3^-1 * Y1^2 * Y3 * Y1^-1 * Y3^-1 * Y1^2 * Y3^-1 * Y1^3 ]
Map::
	R = (1, 109, 2, 110, 6, 114, 17, 125, 37, 145, 28, 136, 10, 118, 21, 129, 41, 149, 32, 140, 13, 121, 4, 112)(3, 111, 9, 117, 25, 133, 49, 157, 36, 144, 16, 124, 5, 113, 15, 123, 35, 143, 55, 163, 29, 137, 11, 119)(7, 115, 20, 128, 45, 153, 71, 179, 48, 156, 24, 132, 8, 116, 23, 131, 47, 155, 75, 183, 46, 154, 22, 130)(12, 120, 30, 138, 57, 165, 84, 192, 53, 161, 27, 135, 14, 122, 34, 142, 62, 170, 83, 191, 52, 160, 26, 134)(18, 126, 40, 148, 67, 175, 97, 205, 70, 178, 44, 152, 19, 127, 43, 151, 69, 177, 101, 209, 68, 176, 42, 150)(31, 139, 60, 168, 91, 199, 103, 211, 90, 198, 59, 167, 33, 141, 61, 169, 92, 200, 104, 212, 89, 197, 58, 166)(38, 146, 63, 171, 93, 201, 78, 186, 96, 204, 66, 174, 39, 147, 65, 173, 95, 203, 77, 185, 94, 202, 64, 172)(50, 158, 79, 187, 98, 206, 76, 184, 108, 216, 82, 190, 51, 159, 81, 189, 99, 207, 74, 182, 107, 215, 80, 188)(54, 162, 85, 193, 100, 208, 87, 195, 105, 213, 72, 180, 56, 164, 86, 194, 102, 210, 88, 196, 106, 214, 73, 181)(217, 325)(218, 326)(219, 327)(220, 328)(221, 329)(222, 330)(223, 331)(224, 332)(225, 333)(226, 334)(227, 335)(228, 336)(229, 337)(230, 338)(231, 339)(232, 340)(233, 341)(234, 342)(235, 343)(236, 344)(237, 345)(238, 346)(239, 347)(240, 348)(241, 349)(242, 350)(243, 351)(244, 352)(245, 353)(246, 354)(247, 355)(248, 356)(249, 357)(250, 358)(251, 359)(252, 360)(253, 361)(254, 362)(255, 363)(256, 364)(257, 365)(258, 366)(259, 367)(260, 368)(261, 369)(262, 370)(263, 371)(264, 372)(265, 373)(266, 374)(267, 375)(268, 376)(269, 377)(270, 378)(271, 379)(272, 380)(273, 381)(274, 382)(275, 383)(276, 384)(277, 385)(278, 386)(279, 387)(280, 388)(281, 389)(282, 390)(283, 391)(284, 392)(285, 393)(286, 394)(287, 395)(288, 396)(289, 397)(290, 398)(291, 399)(292, 400)(293, 401)(294, 402)(295, 403)(296, 404)(297, 405)(298, 406)(299, 407)(300, 408)(301, 409)(302, 410)(303, 411)(304, 412)(305, 413)(306, 414)(307, 415)(308, 416)(309, 417)(310, 418)(311, 419)(312, 420)(313, 421)(314, 422)(315, 423)(316, 424)(317, 425)(318, 426)(319, 427)(320, 428)(321, 429)(322, 430)(323, 431)(324, 432)
	L = (1, 219)(2, 223)(3, 226)(4, 228)(5, 217)(6, 234)(7, 237)(8, 218)(9, 242)(10, 221)(11, 239)(12, 244)(13, 247)(14, 220)(15, 243)(16, 236)(17, 254)(18, 257)(19, 222)(20, 227)(21, 224)(22, 259)(23, 232)(24, 256)(25, 266)(26, 231)(27, 225)(28, 230)(29, 270)(30, 274)(31, 253)(32, 255)(33, 229)(34, 275)(35, 267)(36, 272)(37, 249)(38, 248)(39, 233)(40, 238)(41, 235)(42, 281)(43, 240)(44, 279)(45, 288)(46, 290)(47, 289)(48, 292)(49, 293)(50, 251)(51, 241)(52, 297)(53, 295)(54, 252)(55, 294)(56, 245)(57, 303)(58, 250)(59, 246)(60, 282)(61, 280)(62, 304)(63, 258)(64, 276)(65, 260)(66, 277)(67, 314)(68, 316)(69, 315)(70, 318)(71, 319)(72, 263)(73, 261)(74, 264)(75, 320)(76, 262)(77, 271)(78, 265)(79, 268)(80, 312)(81, 269)(82, 310)(83, 313)(84, 317)(85, 309)(86, 311)(87, 278)(88, 273)(89, 322)(90, 321)(91, 323)(92, 324)(93, 302)(94, 296)(95, 301)(96, 298)(97, 300)(98, 285)(99, 283)(100, 286)(101, 299)(102, 284)(103, 291)(104, 287)(105, 305)(106, 306)(107, 308)(108, 307)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2356
Graph:: simple bipartite
	v = 117 e = 216 f = 45
	degree seq :: [ 2^108, 24^9 ]

E28.2360 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C4) : C3 (small group id <108, 8>)
Aut   = (C2 x (((C3 x C3) : C3) : C2)) : C2 (small group id <216, 37>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y1^-1 * Y3^-1, (R * Y3)^2, Y3^2 * Y1^-2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1, Y1^-2 * Y2 * Y1^2 * Y2^-1, Y3 * Y2^-1 * Y3 * Y1^-1 * Y2 * Y1^-1, Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1, Y2^-3 * Y3 * Y1^-1 * Y2^-3, (R * Y2^-3 * Y1^-1)^2, (Y1 * Y2^-1)^6, Y2 * Y3 * Y2^-1 * Y3 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2^2 * Y1 * Y2^-3 * Y3 * Y2^-3 * Y1^-1 * Y2, Y2^2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^2 * Y1^-1 ]
Map::
	R = (1, 109, 2, 110, 6, 114, 4, 112)(3, 111, 9, 117, 17, 125, 11, 119)(5, 113, 14, 122, 18, 126, 15, 123)(7, 115, 19, 127, 12, 120, 21, 129)(8, 116, 22, 130, 13, 121, 23, 131)(10, 118, 26, 134, 37, 145, 28, 136)(16, 124, 34, 142, 38, 146, 35, 143)(20, 128, 40, 148, 30, 138, 42, 150)(24, 132, 46, 154, 31, 139, 47, 155)(25, 133, 49, 157, 29, 137, 50, 158)(27, 135, 53, 161, 36, 144, 54, 162)(32, 140, 57, 165, 33, 141, 59, 167)(39, 147, 63, 171, 43, 151, 64, 172)(41, 149, 67, 175, 48, 156, 68, 176)(44, 152, 71, 179, 45, 153, 73, 181)(51, 159, 79, 187, 56, 164, 80, 188)(52, 160, 81, 189, 55, 163, 82, 190)(58, 166, 88, 196, 60, 168, 89, 197)(61, 169, 85, 193, 62, 170, 84, 192)(65, 173, 95, 203, 70, 178, 96, 204)(66, 174, 97, 205, 69, 177, 98, 206)(72, 180, 104, 212, 74, 182, 105, 213)(75, 183, 101, 209, 76, 184, 100, 208)(77, 185, 93, 201, 78, 186, 94, 202)(83, 191, 107, 215, 86, 194, 108, 216)(87, 195, 103, 211, 90, 198, 106, 214)(91, 199, 99, 207, 92, 200, 102, 210)(217, 325, 219, 327, 226, 334, 243, 351, 254, 362, 234, 342, 222, 330, 233, 341, 253, 361, 252, 360, 232, 340, 221, 329)(218, 326, 223, 331, 236, 344, 257, 365, 247, 355, 229, 337, 220, 328, 228, 336, 246, 354, 264, 372, 240, 348, 224, 332)(225, 333, 239, 347, 261, 369, 290, 398, 272, 380, 245, 353, 227, 335, 238, 346, 260, 368, 288, 396, 267, 375, 241, 349)(230, 338, 248, 356, 274, 382, 286, 394, 259, 367, 237, 345, 231, 339, 249, 357, 276, 384, 281, 389, 255, 363, 235, 343)(242, 350, 266, 374, 294, 402, 311, 419, 302, 410, 271, 379, 244, 352, 265, 373, 293, 401, 312, 420, 299, 407, 268, 376)(250, 358, 277, 385, 307, 415, 321, 429, 306, 414, 275, 383, 251, 359, 278, 386, 308, 416, 320, 428, 303, 411, 273, 381)(256, 364, 280, 388, 310, 418, 296, 404, 318, 426, 285, 393, 258, 366, 279, 387, 309, 417, 295, 403, 315, 423, 282, 390)(262, 370, 291, 399, 323, 431, 304, 412, 322, 430, 289, 397, 263, 371, 292, 400, 324, 432, 305, 413, 319, 427, 287, 395)(269, 377, 298, 406, 317, 425, 284, 392, 313, 421, 301, 409, 270, 378, 297, 405, 316, 424, 283, 391, 314, 422, 300, 408)
	L = (1, 220)(2, 217)(3, 227)(4, 222)(5, 231)(6, 218)(7, 237)(8, 239)(9, 219)(10, 244)(11, 233)(12, 235)(13, 238)(14, 221)(15, 234)(16, 251)(17, 225)(18, 230)(19, 223)(20, 258)(21, 228)(22, 224)(23, 229)(24, 263)(25, 266)(26, 226)(27, 270)(28, 253)(29, 265)(30, 256)(31, 262)(32, 275)(33, 273)(34, 232)(35, 254)(36, 269)(37, 242)(38, 250)(39, 280)(40, 236)(41, 284)(42, 246)(43, 279)(44, 289)(45, 287)(46, 240)(47, 247)(48, 283)(49, 241)(50, 245)(51, 296)(52, 298)(53, 243)(54, 252)(55, 297)(56, 295)(57, 248)(58, 305)(59, 249)(60, 304)(61, 300)(62, 301)(63, 255)(64, 259)(65, 312)(66, 314)(67, 257)(68, 264)(69, 313)(70, 311)(71, 260)(72, 321)(73, 261)(74, 320)(75, 316)(76, 317)(77, 310)(78, 309)(79, 267)(80, 272)(81, 268)(82, 271)(83, 324)(84, 278)(85, 277)(86, 323)(87, 322)(88, 274)(89, 276)(90, 319)(91, 318)(92, 315)(93, 293)(94, 294)(95, 281)(96, 286)(97, 282)(98, 285)(99, 307)(100, 292)(101, 291)(102, 308)(103, 303)(104, 288)(105, 290)(106, 306)(107, 299)(108, 302)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2361
Graph:: bipartite
	v = 36 e = 216 f = 126
	degree seq :: [ 8^27, 24^9 ]

E28.2361 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C4) : C3 (small group id <108, 8>)
Aut   = (C2 x (((C3 x C3) : C3) : C2)) : C2 (small group id <216, 37>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1, (R * Y2 * Y3^-1)^2, Y1^6, Y3^-3 * Y1 * Y3 * Y1 * Y3^-2, (Y3^-1 * Y1 * Y3^-1)^3, Y1^-1 * Y3 * Y1^-1 * Y3^2 * Y1 * Y3^-1 * Y1 * Y3^-2, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 109, 2, 110, 6, 114, 18, 126, 13, 121, 4, 112)(3, 111, 9, 117, 24, 132, 34, 142, 14, 122, 11, 119)(5, 113, 15, 123, 7, 115, 20, 128, 39, 147, 16, 124)(8, 116, 22, 130, 19, 127, 33, 141, 32, 140, 12, 120)(10, 118, 26, 134, 56, 164, 64, 172, 30, 138, 28, 136)(17, 125, 40, 148, 36, 144, 44, 152, 75, 183, 41, 149)(21, 129, 45, 153, 72, 180, 38, 146, 37, 145, 47, 155)(23, 131, 50, 158, 48, 156, 68, 176, 86, 194, 51, 159)(25, 133, 54, 162, 53, 161, 35, 143, 63, 171, 29, 137)(27, 135, 58, 166, 76, 184, 42, 150, 61, 169, 59, 167)(31, 139, 49, 157, 77, 185, 43, 151, 67, 175, 66, 174)(46, 154, 79, 187, 87, 195, 52, 160, 82, 190, 80, 188)(55, 163, 90, 198, 89, 197, 69, 177, 99, 207, 91, 199)(57, 165, 83, 191, 92, 200, 65, 173, 85, 193, 60, 168)(62, 170, 81, 189, 78, 186, 88, 196, 97, 205, 71, 179)(70, 178, 101, 209, 100, 208, 74, 182, 73, 181, 84, 192)(93, 201, 102, 210, 107, 215, 98, 206, 103, 211, 108, 216)(94, 202, 105, 213, 104, 212, 96, 204, 106, 214, 95, 203)(217, 325)(218, 326)(219, 327)(220, 328)(221, 329)(222, 330)(223, 331)(224, 332)(225, 333)(226, 334)(227, 335)(228, 336)(229, 337)(230, 338)(231, 339)(232, 340)(233, 341)(234, 342)(235, 343)(236, 344)(237, 345)(238, 346)(239, 347)(240, 348)(241, 349)(242, 350)(243, 351)(244, 352)(245, 353)(246, 354)(247, 355)(248, 356)(249, 357)(250, 358)(251, 359)(252, 360)(253, 361)(254, 362)(255, 363)(256, 364)(257, 365)(258, 366)(259, 367)(260, 368)(261, 369)(262, 370)(263, 371)(264, 372)(265, 373)(266, 374)(267, 375)(268, 376)(269, 377)(270, 378)(271, 379)(272, 380)(273, 381)(274, 382)(275, 383)(276, 384)(277, 385)(278, 386)(279, 387)(280, 388)(281, 389)(282, 390)(283, 391)(284, 392)(285, 393)(286, 394)(287, 395)(288, 396)(289, 397)(290, 398)(291, 399)(292, 400)(293, 401)(294, 402)(295, 403)(296, 404)(297, 405)(298, 406)(299, 407)(300, 408)(301, 409)(302, 410)(303, 411)(304, 412)(305, 413)(306, 414)(307, 415)(308, 416)(309, 417)(310, 418)(311, 419)(312, 420)(313, 421)(314, 422)(315, 423)(316, 424)(317, 425)(318, 426)(319, 427)(320, 428)(321, 429)(322, 430)(323, 431)(324, 432)
	L = (1, 219)(2, 223)(3, 226)(4, 228)(5, 217)(6, 235)(7, 237)(8, 218)(9, 222)(10, 243)(11, 245)(12, 247)(13, 232)(14, 220)(15, 252)(16, 254)(17, 221)(18, 250)(19, 259)(20, 234)(21, 262)(22, 264)(23, 224)(24, 269)(25, 225)(26, 240)(27, 260)(28, 276)(29, 278)(30, 227)(31, 271)(32, 267)(33, 229)(34, 280)(35, 230)(36, 286)(37, 231)(38, 268)(39, 257)(40, 275)(41, 290)(42, 233)(43, 285)(44, 236)(45, 255)(46, 284)(47, 297)(48, 299)(49, 238)(50, 296)(51, 301)(52, 239)(53, 304)(54, 305)(55, 241)(56, 308)(57, 242)(58, 272)(59, 311)(60, 266)(61, 244)(62, 309)(63, 307)(64, 258)(65, 246)(66, 289)(67, 248)(68, 249)(69, 251)(70, 318)(71, 253)(72, 313)(73, 256)(74, 319)(75, 292)(76, 320)(77, 317)(78, 261)(79, 288)(80, 310)(81, 270)(82, 263)(83, 323)(84, 265)(85, 324)(86, 303)(87, 312)(88, 314)(89, 321)(90, 293)(91, 322)(92, 302)(93, 273)(94, 274)(95, 306)(96, 277)(97, 279)(98, 281)(99, 282)(100, 283)(101, 291)(102, 294)(103, 287)(104, 315)(105, 295)(106, 298)(107, 316)(108, 300)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.2360
Graph:: simple bipartite
	v = 126 e = 216 f = 36
	degree seq :: [ 2^108, 12^18 ]

E28.2362 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 6, 12})
Quotient :: edge
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ F^2, T1^4, T1^4, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-2 * T1^-1 * T2, T2 * T1^-1 * T2^-2 * T1 * T2, T2^6, T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T2^-1 * T1)^4, (T1 * T2 * T1)^3, T1^-1 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-1, T1^-1 * T2^-1 * T1^2 * T2^-1 * T1^2 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 10, 28, 16, 5)(2, 7, 20, 49, 24, 8)(4, 12, 29, 63, 36, 13)(6, 17, 41, 77, 45, 18)(9, 26, 58, 38, 14, 27)(11, 30, 62, 39, 15, 31)(19, 47, 83, 53, 22, 48)(21, 50, 86, 54, 23, 51)(25, 55, 91, 72, 37, 56)(32, 67, 100, 71, 34, 68)(33, 69, 98, 60, 35, 57)(40, 75, 93, 80, 43, 76)(42, 78, 92, 81, 44, 79)(46, 70, 104, 66, 52, 82)(59, 95, 73, 99, 61, 96)(64, 101, 74, 103, 65, 102)(84, 107, 89, 97, 85, 94)(87, 108, 90, 106, 88, 105)(109, 110, 114, 112)(111, 117, 133, 119)(113, 122, 145, 123)(115, 127, 154, 129)(116, 130, 160, 131)(118, 128, 149, 137)(120, 140, 174, 141)(121, 142, 178, 143)(124, 132, 153, 144)(125, 148, 180, 150)(126, 151, 163, 152)(134, 165, 202, 167)(135, 168, 205, 169)(136, 166, 199, 170)(138, 172, 197, 161)(139, 173, 192, 155)(146, 177, 215, 181)(147, 182, 193, 156)(157, 191, 212, 194)(158, 195, 209, 188)(159, 196, 210, 183)(162, 198, 211, 184)(164, 200, 185, 201)(171, 208, 190, 206)(175, 187, 204, 213)(176, 189, 207, 214)(179, 186, 203, 216)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 24^4 ), ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2366
Transitivity :: ET+
Graph:: simple bipartite
	v = 45 e = 108 f = 9
	degree seq :: [ 4^27, 6^18 ]

E28.2363 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 6, 12})
Quotient :: edge
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1 * T2^4 * T1, T1^6, (T2^-1 * T1^-1)^4, T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2, (T2^2 * T1^-2)^2, T1^-1 * T2^-2 * T1 * T2^2 * T1^-1 * T2^-2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 30, 13, 33, 47, 20, 6, 19, 17, 5)(2, 7, 22, 14, 4, 12, 35, 44, 18, 43, 26, 8)(9, 27, 60, 34, 11, 32, 68, 82, 45, 81, 63, 28)(15, 38, 74, 41, 16, 40, 77, 84, 46, 83, 76, 39)(21, 48, 85, 53, 23, 52, 89, 71, 36, 70, 88, 49)(24, 54, 92, 57, 25, 56, 95, 59, 37, 72, 94, 55)(29, 64, 51, 67, 31, 66, 58, 80, 42, 79, 50, 65)(61, 97, 96, 100, 62, 99, 91, 101, 69, 105, 93, 98)(73, 103, 86, 107, 75, 104, 87, 108, 78, 102, 90, 106)(109, 110, 114, 126, 121, 112)(111, 117, 127, 153, 141, 119)(113, 123, 128, 154, 138, 124)(115, 129, 151, 144, 120, 131)(116, 132, 152, 145, 122, 133)(118, 137, 125, 150, 155, 139)(130, 158, 134, 166, 143, 159)(135, 167, 189, 165, 140, 163)(136, 169, 190, 177, 142, 170)(146, 181, 191, 186, 148, 183)(147, 160, 192, 156, 149, 178)(157, 194, 179, 198, 161, 195)(162, 199, 180, 204, 164, 201)(168, 182, 171, 184, 176, 185)(172, 209, 187, 208, 174, 206)(173, 210, 188, 212, 175, 211)(193, 200, 196, 202, 197, 203)(205, 215, 213, 214, 207, 216)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 8^6 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2367
Transitivity :: ET+
Graph:: bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.2364 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 6, 12})
Quotient :: edge
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, T2^4, (F * T2)^2, T1^3 * T2^-1 * T1^-1 * T2^-1, (T2 * T1^-1)^3, T1^-2 * T2^-2 * T1 * T2^-2 * T1^-2 * T2^-1, T1^-4 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 10, 5)(2, 7, 21, 8)(4, 12, 31, 14)(6, 18, 42, 19)(9, 17, 40, 26)(11, 23, 50, 30)(13, 24, 51, 34)(15, 36, 65, 32)(16, 37, 67, 33)(20, 39, 72, 46)(22, 44, 80, 49)(25, 54, 79, 43)(27, 53, 75, 58)(28, 55, 91, 60)(29, 56, 88, 52)(35, 61, 94, 66)(38, 64, 78, 70)(41, 71, 100, 76)(45, 82, 62, 74)(47, 81, 102, 85)(48, 83, 69, 87)(57, 86, 108, 90)(59, 93, 105, 92)(63, 77, 104, 96)(68, 89, 101, 97)(73, 99, 98, 103)(84, 106, 95, 107)(109, 110, 114, 125, 147, 179, 207, 205, 174, 141, 121, 112)(111, 117, 133, 161, 180, 209, 204, 177, 143, 122, 137, 119)(113, 123, 130, 115, 128, 153, 189, 208, 202, 168, 146, 124)(116, 131, 151, 126, 149, 183, 212, 206, 175, 195, 160, 132)(118, 135, 165, 144, 154, 191, 215, 190, 169, 138, 167, 136)(120, 127, 152, 182, 148, 181, 210, 199, 176, 142, 172, 140)(129, 155, 192, 158, 184, 178, 201, 166, 145, 157, 194, 156)(134, 163, 198, 162, 197, 173, 203, 171, 139, 170, 200, 164)(150, 185, 213, 188, 211, 196, 216, 193, 159, 187, 214, 186)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12^4 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2365
Transitivity :: ET+
Graph:: simple bipartite
	v = 36 e = 108 f = 18
	degree seq :: [ 4^27, 12^9 ]

E28.2365 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 6, 12})
Quotient :: loop
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ F^2, T1^4, T1^4, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-2 * T1^-1 * T2, T2 * T1^-1 * T2^-2 * T1 * T2, T2^6, T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T2^-1 * T1)^4, (T1 * T2 * T1)^3, T1^-1 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-1, T1^-1 * T2^-1 * T1^2 * T2^-1 * T1^2 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 109, 3, 111, 10, 118, 28, 136, 16, 124, 5, 113)(2, 110, 7, 115, 20, 128, 49, 157, 24, 132, 8, 116)(4, 112, 12, 120, 29, 137, 63, 171, 36, 144, 13, 121)(6, 114, 17, 125, 41, 149, 77, 185, 45, 153, 18, 126)(9, 117, 26, 134, 58, 166, 38, 146, 14, 122, 27, 135)(11, 119, 30, 138, 62, 170, 39, 147, 15, 123, 31, 139)(19, 127, 47, 155, 83, 191, 53, 161, 22, 130, 48, 156)(21, 129, 50, 158, 86, 194, 54, 162, 23, 131, 51, 159)(25, 133, 55, 163, 91, 199, 72, 180, 37, 145, 56, 164)(32, 140, 67, 175, 100, 208, 71, 179, 34, 142, 68, 176)(33, 141, 69, 177, 98, 206, 60, 168, 35, 143, 57, 165)(40, 148, 75, 183, 93, 201, 80, 188, 43, 151, 76, 184)(42, 150, 78, 186, 92, 200, 81, 189, 44, 152, 79, 187)(46, 154, 70, 178, 104, 212, 66, 174, 52, 160, 82, 190)(59, 167, 95, 203, 73, 181, 99, 207, 61, 169, 96, 204)(64, 172, 101, 209, 74, 182, 103, 211, 65, 173, 102, 210)(84, 192, 107, 215, 89, 197, 97, 205, 85, 193, 94, 202)(87, 195, 108, 216, 90, 198, 106, 214, 88, 196, 105, 213)
	L = (1, 110)(2, 114)(3, 117)(4, 109)(5, 122)(6, 112)(7, 127)(8, 130)(9, 133)(10, 128)(11, 111)(12, 140)(13, 142)(14, 145)(15, 113)(16, 132)(17, 148)(18, 151)(19, 154)(20, 149)(21, 115)(22, 160)(23, 116)(24, 153)(25, 119)(26, 165)(27, 168)(28, 166)(29, 118)(30, 172)(31, 173)(32, 174)(33, 120)(34, 178)(35, 121)(36, 124)(37, 123)(38, 177)(39, 182)(40, 180)(41, 137)(42, 125)(43, 163)(44, 126)(45, 144)(46, 129)(47, 139)(48, 147)(49, 191)(50, 195)(51, 196)(52, 131)(53, 138)(54, 198)(55, 152)(56, 200)(57, 202)(58, 199)(59, 134)(60, 205)(61, 135)(62, 136)(63, 208)(64, 197)(65, 192)(66, 141)(67, 187)(68, 189)(69, 215)(70, 143)(71, 186)(72, 150)(73, 146)(74, 193)(75, 159)(76, 162)(77, 201)(78, 203)(79, 204)(80, 158)(81, 207)(82, 206)(83, 212)(84, 155)(85, 156)(86, 157)(87, 209)(88, 210)(89, 161)(90, 211)(91, 170)(92, 185)(93, 164)(94, 167)(95, 216)(96, 213)(97, 169)(98, 171)(99, 214)(100, 190)(101, 188)(102, 183)(103, 184)(104, 194)(105, 175)(106, 176)(107, 181)(108, 179)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2364
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 12^18 ]

E28.2366 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 6, 12})
Quotient :: loop
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1 * T2^4 * T1, T1^6, (T2^-1 * T1^-1)^4, T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2, (T2^2 * T1^-2)^2, T1^-1 * T2^-2 * T1 * T2^2 * T1^-1 * T2^-2 ]
Map:: non-degenerate
	R = (1, 109, 3, 111, 10, 118, 30, 138, 13, 121, 33, 141, 47, 155, 20, 128, 6, 114, 19, 127, 17, 125, 5, 113)(2, 110, 7, 115, 22, 130, 14, 122, 4, 112, 12, 120, 35, 143, 44, 152, 18, 126, 43, 151, 26, 134, 8, 116)(9, 117, 27, 135, 60, 168, 34, 142, 11, 119, 32, 140, 68, 176, 82, 190, 45, 153, 81, 189, 63, 171, 28, 136)(15, 123, 38, 146, 74, 182, 41, 149, 16, 124, 40, 148, 77, 185, 84, 192, 46, 154, 83, 191, 76, 184, 39, 147)(21, 129, 48, 156, 85, 193, 53, 161, 23, 131, 52, 160, 89, 197, 71, 179, 36, 144, 70, 178, 88, 196, 49, 157)(24, 132, 54, 162, 92, 200, 57, 165, 25, 133, 56, 164, 95, 203, 59, 167, 37, 145, 72, 180, 94, 202, 55, 163)(29, 137, 64, 172, 51, 159, 67, 175, 31, 139, 66, 174, 58, 166, 80, 188, 42, 150, 79, 187, 50, 158, 65, 173)(61, 169, 97, 205, 96, 204, 100, 208, 62, 170, 99, 207, 91, 199, 101, 209, 69, 177, 105, 213, 93, 201, 98, 206)(73, 181, 103, 211, 86, 194, 107, 215, 75, 183, 104, 212, 87, 195, 108, 216, 78, 186, 102, 210, 90, 198, 106, 214)
	L = (1, 110)(2, 114)(3, 117)(4, 109)(5, 123)(6, 126)(7, 129)(8, 132)(9, 127)(10, 137)(11, 111)(12, 131)(13, 112)(14, 133)(15, 128)(16, 113)(17, 150)(18, 121)(19, 153)(20, 154)(21, 151)(22, 158)(23, 115)(24, 152)(25, 116)(26, 166)(27, 167)(28, 169)(29, 125)(30, 124)(31, 118)(32, 163)(33, 119)(34, 170)(35, 159)(36, 120)(37, 122)(38, 181)(39, 160)(40, 183)(41, 178)(42, 155)(43, 144)(44, 145)(45, 141)(46, 138)(47, 139)(48, 149)(49, 194)(50, 134)(51, 130)(52, 192)(53, 195)(54, 199)(55, 135)(56, 201)(57, 140)(58, 143)(59, 189)(60, 182)(61, 190)(62, 136)(63, 184)(64, 209)(65, 210)(66, 206)(67, 211)(68, 185)(69, 142)(70, 147)(71, 198)(72, 204)(73, 191)(74, 171)(75, 146)(76, 176)(77, 168)(78, 148)(79, 208)(80, 212)(81, 165)(82, 177)(83, 186)(84, 156)(85, 200)(86, 179)(87, 157)(88, 202)(89, 203)(90, 161)(91, 180)(92, 196)(93, 162)(94, 197)(95, 193)(96, 164)(97, 215)(98, 172)(99, 216)(100, 174)(101, 187)(102, 188)(103, 173)(104, 175)(105, 214)(106, 207)(107, 213)(108, 205)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2362
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 108 f = 45
	degree seq :: [ 24^9 ]

E28.2367 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 6, 12})
Quotient :: loop
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, T2^4, (F * T2)^2, T1^3 * T2^-1 * T1^-1 * T2^-1, (T2 * T1^-1)^3, T1^-2 * T2^-2 * T1 * T2^-2 * T1^-2 * T2^-1, T1^-4 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 109, 3, 111, 10, 118, 5, 113)(2, 110, 7, 115, 21, 129, 8, 116)(4, 112, 12, 120, 31, 139, 14, 122)(6, 114, 18, 126, 42, 150, 19, 127)(9, 117, 17, 125, 40, 148, 26, 134)(11, 119, 23, 131, 50, 158, 30, 138)(13, 121, 24, 132, 51, 159, 34, 142)(15, 123, 36, 144, 65, 173, 32, 140)(16, 124, 37, 145, 67, 175, 33, 141)(20, 128, 39, 147, 72, 180, 46, 154)(22, 130, 44, 152, 80, 188, 49, 157)(25, 133, 54, 162, 79, 187, 43, 151)(27, 135, 53, 161, 75, 183, 58, 166)(28, 136, 55, 163, 91, 199, 60, 168)(29, 137, 56, 164, 88, 196, 52, 160)(35, 143, 61, 169, 94, 202, 66, 174)(38, 146, 64, 172, 78, 186, 70, 178)(41, 149, 71, 179, 100, 208, 76, 184)(45, 153, 82, 190, 62, 170, 74, 182)(47, 155, 81, 189, 102, 210, 85, 193)(48, 156, 83, 191, 69, 177, 87, 195)(57, 165, 86, 194, 108, 216, 90, 198)(59, 167, 93, 201, 105, 213, 92, 200)(63, 171, 77, 185, 104, 212, 96, 204)(68, 176, 89, 197, 101, 209, 97, 205)(73, 181, 99, 207, 98, 206, 103, 211)(84, 192, 106, 214, 95, 203, 107, 215)
	L = (1, 110)(2, 114)(3, 117)(4, 109)(5, 123)(6, 125)(7, 128)(8, 131)(9, 133)(10, 135)(11, 111)(12, 127)(13, 112)(14, 137)(15, 130)(16, 113)(17, 147)(18, 149)(19, 152)(20, 153)(21, 155)(22, 115)(23, 151)(24, 116)(25, 161)(26, 163)(27, 165)(28, 118)(29, 119)(30, 167)(31, 170)(32, 120)(33, 121)(34, 172)(35, 122)(36, 154)(37, 157)(38, 124)(39, 179)(40, 181)(41, 183)(42, 185)(43, 126)(44, 182)(45, 189)(46, 191)(47, 192)(48, 129)(49, 194)(50, 184)(51, 187)(52, 132)(53, 180)(54, 197)(55, 198)(56, 134)(57, 144)(58, 145)(59, 136)(60, 146)(61, 138)(62, 200)(63, 139)(64, 140)(65, 203)(66, 141)(67, 195)(68, 142)(69, 143)(70, 201)(71, 207)(72, 209)(73, 210)(74, 148)(75, 212)(76, 178)(77, 213)(78, 150)(79, 214)(80, 211)(81, 208)(82, 169)(83, 215)(84, 158)(85, 159)(86, 156)(87, 160)(88, 216)(89, 173)(90, 162)(91, 176)(92, 164)(93, 166)(94, 168)(95, 171)(96, 177)(97, 174)(98, 175)(99, 205)(100, 202)(101, 204)(102, 199)(103, 196)(104, 206)(105, 188)(106, 186)(107, 190)(108, 193)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2363
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 27 e = 108 f = 27
	degree seq :: [ 8^27 ]

E28.2368 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y1^-1 * Y3^-1, Y3 * Y1^-2 * Y3, (R * Y3)^2, Y1^3 * Y3^-1, (R * Y1)^2, Y1^-1 * Y2 * Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y2^-2 * Y3^-1 * Y2, Y2^6, (R * Y2^2)^2, Y2 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1, Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-1, Y1 * Y2^-1 * Y3 * Y1^-1 * Y2^-1 * Y1^-2 * Y2^-1 * Y3^-1, Y1 * Y2 * Y1^2 * Y2 * Y3 * Y1^-1 * Y2 * Y3^-1, Y3 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y3, Y1 * Y2^-1 * Y3 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y3, Y3 * Y1^-1 * Y2^3 * Y3^-2 * Y2 * Y1^-2 * Y2^-1, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 109, 2, 110, 6, 114, 4, 112)(3, 111, 9, 117, 25, 133, 11, 119)(5, 113, 14, 122, 37, 145, 15, 123)(7, 115, 19, 127, 46, 154, 21, 129)(8, 116, 22, 130, 52, 160, 23, 131)(10, 118, 20, 128, 41, 149, 29, 137)(12, 120, 32, 140, 66, 174, 33, 141)(13, 121, 34, 142, 70, 178, 35, 143)(16, 124, 24, 132, 45, 153, 36, 144)(17, 125, 40, 148, 72, 180, 42, 150)(18, 126, 43, 151, 55, 163, 44, 152)(26, 134, 57, 165, 94, 202, 59, 167)(27, 135, 60, 168, 97, 205, 61, 169)(28, 136, 58, 166, 91, 199, 62, 170)(30, 138, 64, 172, 89, 197, 53, 161)(31, 139, 65, 173, 84, 192, 47, 155)(38, 146, 69, 177, 107, 215, 73, 181)(39, 147, 74, 182, 85, 193, 48, 156)(49, 157, 83, 191, 104, 212, 86, 194)(50, 158, 87, 195, 101, 209, 80, 188)(51, 159, 88, 196, 102, 210, 75, 183)(54, 162, 90, 198, 103, 211, 76, 184)(56, 164, 92, 200, 77, 185, 93, 201)(63, 171, 100, 208, 82, 190, 98, 206)(67, 175, 79, 187, 96, 204, 105, 213)(68, 176, 81, 189, 99, 207, 106, 214)(71, 179, 78, 186, 95, 203, 108, 216)(217, 325, 219, 327, 226, 334, 244, 352, 232, 340, 221, 329)(218, 326, 223, 331, 236, 344, 265, 373, 240, 348, 224, 332)(220, 328, 228, 336, 245, 353, 279, 387, 252, 360, 229, 337)(222, 330, 233, 341, 257, 365, 293, 401, 261, 369, 234, 342)(225, 333, 242, 350, 274, 382, 254, 362, 230, 338, 243, 351)(227, 335, 246, 354, 278, 386, 255, 363, 231, 339, 247, 355)(235, 343, 263, 371, 299, 407, 269, 377, 238, 346, 264, 372)(237, 345, 266, 374, 302, 410, 270, 378, 239, 347, 267, 375)(241, 349, 271, 379, 307, 415, 288, 396, 253, 361, 272, 380)(248, 356, 283, 391, 316, 424, 287, 395, 250, 358, 284, 392)(249, 357, 285, 393, 314, 422, 276, 384, 251, 359, 273, 381)(256, 364, 291, 399, 309, 417, 296, 404, 259, 367, 292, 400)(258, 366, 294, 402, 308, 416, 297, 405, 260, 368, 295, 403)(262, 370, 286, 394, 320, 428, 282, 390, 268, 376, 298, 406)(275, 383, 311, 419, 289, 397, 315, 423, 277, 385, 312, 420)(280, 388, 317, 425, 290, 398, 319, 427, 281, 389, 318, 426)(300, 408, 323, 431, 305, 413, 313, 421, 301, 409, 310, 418)(303, 411, 324, 432, 306, 414, 322, 430, 304, 412, 321, 429)
	L = (1, 220)(2, 217)(3, 227)(4, 222)(5, 231)(6, 218)(7, 237)(8, 239)(9, 219)(10, 245)(11, 241)(12, 249)(13, 251)(14, 221)(15, 253)(16, 252)(17, 258)(18, 260)(19, 223)(20, 226)(21, 262)(22, 224)(23, 268)(24, 232)(25, 225)(26, 275)(27, 277)(28, 278)(29, 257)(30, 269)(31, 263)(32, 228)(33, 282)(34, 229)(35, 286)(36, 261)(37, 230)(38, 289)(39, 264)(40, 233)(41, 236)(42, 288)(43, 234)(44, 271)(45, 240)(46, 235)(47, 300)(48, 301)(49, 302)(50, 296)(51, 291)(52, 238)(53, 305)(54, 292)(55, 259)(56, 309)(57, 242)(58, 244)(59, 310)(60, 243)(61, 313)(62, 307)(63, 314)(64, 246)(65, 247)(66, 248)(67, 321)(68, 322)(69, 254)(70, 250)(71, 324)(72, 256)(73, 323)(74, 255)(75, 318)(76, 319)(77, 308)(78, 287)(79, 283)(80, 317)(81, 284)(82, 316)(83, 265)(84, 281)(85, 290)(86, 320)(87, 266)(88, 267)(89, 280)(90, 270)(91, 274)(92, 272)(93, 293)(94, 273)(95, 294)(96, 295)(97, 276)(98, 298)(99, 297)(100, 279)(101, 303)(102, 304)(103, 306)(104, 299)(105, 312)(106, 315)(107, 285)(108, 311)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.2371
Graph:: bipartite
	v = 45 e = 216 f = 117
	degree seq :: [ 8^27, 12^18 ]

E28.2369 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1 * Y2^4 * Y1, Y1^6, (Y3^-1 * Y1^-1)^4, (Y1 * Y2)^4, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2, (Y2^2 * Y1^-2)^2, (Y1^-1 * Y2^-2)^3 ]
Map::
	R = (1, 109, 2, 110, 6, 114, 18, 126, 13, 121, 4, 112)(3, 111, 9, 117, 19, 127, 45, 153, 33, 141, 11, 119)(5, 113, 15, 123, 20, 128, 46, 154, 30, 138, 16, 124)(7, 115, 21, 129, 43, 151, 36, 144, 12, 120, 23, 131)(8, 116, 24, 132, 44, 152, 37, 145, 14, 122, 25, 133)(10, 118, 29, 137, 17, 125, 42, 150, 47, 155, 31, 139)(22, 130, 50, 158, 26, 134, 58, 166, 35, 143, 51, 159)(27, 135, 59, 167, 81, 189, 57, 165, 32, 140, 55, 163)(28, 136, 61, 169, 82, 190, 69, 177, 34, 142, 62, 170)(38, 146, 73, 181, 83, 191, 78, 186, 40, 148, 75, 183)(39, 147, 52, 160, 84, 192, 48, 156, 41, 149, 70, 178)(49, 157, 86, 194, 71, 179, 90, 198, 53, 161, 87, 195)(54, 162, 91, 199, 72, 180, 96, 204, 56, 164, 93, 201)(60, 168, 74, 182, 63, 171, 76, 184, 68, 176, 77, 185)(64, 172, 101, 209, 79, 187, 100, 208, 66, 174, 98, 206)(65, 173, 102, 210, 80, 188, 104, 212, 67, 175, 103, 211)(85, 193, 92, 200, 88, 196, 94, 202, 89, 197, 95, 203)(97, 205, 107, 215, 105, 213, 106, 214, 99, 207, 108, 216)(217, 325, 219, 327, 226, 334, 246, 354, 229, 337, 249, 357, 263, 371, 236, 344, 222, 330, 235, 343, 233, 341, 221, 329)(218, 326, 223, 331, 238, 346, 230, 338, 220, 328, 228, 336, 251, 359, 260, 368, 234, 342, 259, 367, 242, 350, 224, 332)(225, 333, 243, 351, 276, 384, 250, 358, 227, 335, 248, 356, 284, 392, 298, 406, 261, 369, 297, 405, 279, 387, 244, 352)(231, 339, 254, 362, 290, 398, 257, 365, 232, 340, 256, 364, 293, 401, 300, 408, 262, 370, 299, 407, 292, 400, 255, 363)(237, 345, 264, 372, 301, 409, 269, 377, 239, 347, 268, 376, 305, 413, 287, 395, 252, 360, 286, 394, 304, 412, 265, 373)(240, 348, 270, 378, 308, 416, 273, 381, 241, 349, 272, 380, 311, 419, 275, 383, 253, 361, 288, 396, 310, 418, 271, 379)(245, 353, 280, 388, 267, 375, 283, 391, 247, 355, 282, 390, 274, 382, 296, 404, 258, 366, 295, 403, 266, 374, 281, 389)(277, 385, 313, 421, 312, 420, 316, 424, 278, 386, 315, 423, 307, 415, 317, 425, 285, 393, 321, 429, 309, 417, 314, 422)(289, 397, 319, 427, 302, 410, 323, 431, 291, 399, 320, 428, 303, 411, 324, 432, 294, 402, 318, 426, 306, 414, 322, 430)
	L = (1, 219)(2, 223)(3, 226)(4, 228)(5, 217)(6, 235)(7, 238)(8, 218)(9, 243)(10, 246)(11, 248)(12, 251)(13, 249)(14, 220)(15, 254)(16, 256)(17, 221)(18, 259)(19, 233)(20, 222)(21, 264)(22, 230)(23, 268)(24, 270)(25, 272)(26, 224)(27, 276)(28, 225)(29, 280)(30, 229)(31, 282)(32, 284)(33, 263)(34, 227)(35, 260)(36, 286)(37, 288)(38, 290)(39, 231)(40, 293)(41, 232)(42, 295)(43, 242)(44, 234)(45, 297)(46, 299)(47, 236)(48, 301)(49, 237)(50, 281)(51, 283)(52, 305)(53, 239)(54, 308)(55, 240)(56, 311)(57, 241)(58, 296)(59, 253)(60, 250)(61, 313)(62, 315)(63, 244)(64, 267)(65, 245)(66, 274)(67, 247)(68, 298)(69, 321)(70, 304)(71, 252)(72, 310)(73, 319)(74, 257)(75, 320)(76, 255)(77, 300)(78, 318)(79, 266)(80, 258)(81, 279)(82, 261)(83, 292)(84, 262)(85, 269)(86, 323)(87, 324)(88, 265)(89, 287)(90, 322)(91, 317)(92, 273)(93, 314)(94, 271)(95, 275)(96, 316)(97, 312)(98, 277)(99, 307)(100, 278)(101, 285)(102, 306)(103, 302)(104, 303)(105, 309)(106, 289)(107, 291)(108, 294)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.2370
Graph:: bipartite
	v = 27 e = 216 f = 135
	degree seq :: [ 12^18, 24^9 ]

E28.2370 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^3, Y3^-1 * Y2 * Y3^3 * Y2, Y3 * Y2^-2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3^3, Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y2^-1 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^2 * Y3^-1 * Y2^-1, (Y3^-1 * Y1^-1)^12 ]
Map:: polytopal
	R = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)(217, 325, 218, 326, 222, 330, 220, 328)(219, 327, 225, 333, 241, 349, 227, 335)(221, 329, 230, 338, 252, 360, 231, 339)(223, 331, 235, 343, 261, 369, 237, 345)(224, 332, 238, 346, 266, 374, 239, 347)(226, 334, 244, 352, 275, 383, 246, 354)(228, 336, 248, 356, 277, 385, 245, 353)(229, 337, 250, 358, 272, 380, 242, 350)(232, 340, 254, 362, 273, 381, 243, 351)(233, 341, 255, 363, 287, 395, 257, 365)(234, 342, 258, 366, 292, 400, 259, 367)(236, 344, 263, 371, 298, 406, 264, 372)(240, 348, 268, 376, 297, 405, 262, 370)(247, 355, 265, 373, 291, 399, 276, 384)(249, 357, 271, 379, 308, 416, 281, 389)(251, 359, 274, 382, 309, 417, 280, 388)(253, 361, 267, 375, 293, 401, 282, 390)(256, 364, 289, 397, 317, 425, 290, 398)(260, 368, 294, 402, 316, 424, 288, 396)(269, 377, 305, 413, 319, 427, 307, 415)(270, 378, 301, 409, 285, 393, 300, 408)(278, 386, 304, 412, 320, 428, 311, 419)(279, 387, 299, 407, 283, 391, 313, 421)(284, 392, 314, 422, 315, 423, 310, 418)(286, 394, 303, 411, 318, 426, 296, 404)(295, 403, 321, 429, 306, 414, 322, 430)(302, 410, 324, 432, 312, 420, 323, 431)
	L = (1, 219)(2, 223)(3, 226)(4, 228)(5, 217)(6, 233)(7, 236)(8, 218)(9, 242)(10, 245)(11, 247)(12, 249)(13, 220)(14, 251)(15, 244)(16, 221)(17, 256)(18, 222)(19, 231)(20, 227)(21, 265)(22, 232)(23, 263)(24, 224)(25, 269)(26, 271)(27, 225)(28, 264)(29, 276)(30, 278)(31, 279)(32, 259)(33, 257)(34, 260)(35, 229)(36, 283)(37, 230)(38, 262)(39, 239)(40, 237)(41, 291)(42, 240)(43, 289)(44, 234)(45, 295)(46, 235)(47, 290)(48, 299)(49, 300)(50, 301)(51, 238)(52, 288)(53, 306)(54, 241)(55, 246)(56, 304)(57, 308)(58, 243)(59, 310)(60, 311)(61, 312)(62, 287)(63, 307)(64, 248)(65, 296)(66, 250)(67, 294)(68, 252)(69, 253)(70, 254)(71, 315)(72, 255)(73, 281)(74, 270)(75, 318)(76, 286)(77, 258)(78, 280)(79, 284)(80, 261)(81, 275)(82, 323)(83, 277)(84, 322)(85, 274)(86, 266)(87, 267)(88, 268)(89, 273)(90, 272)(91, 320)(92, 321)(93, 317)(94, 316)(95, 324)(96, 319)(97, 282)(98, 285)(99, 302)(100, 298)(101, 305)(102, 314)(103, 292)(104, 293)(105, 297)(106, 313)(107, 309)(108, 303)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.2369
Graph:: simple bipartite
	v = 135 e = 216 f = 27
	degree seq :: [ 2^108, 8^27 ]

E28.2371 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y3^4, (R * Y2 * Y3^-1)^2, (Y3 * Y1^-1)^3, Y3^-1 * Y1^-1 * Y3^-1 * Y1^3, (Y3 * Y2^-1)^4, Y1^-2 * Y3^-2 * Y1 * Y3^-2 * Y1^-2 * Y3^-1, (Y3 * Y1 * Y3)^4, Y1^12 ]
Map::
	R = (1, 109, 2, 110, 6, 114, 17, 125, 39, 147, 71, 179, 99, 207, 97, 205, 66, 174, 33, 141, 13, 121, 4, 112)(3, 111, 9, 117, 25, 133, 53, 161, 72, 180, 101, 209, 96, 204, 69, 177, 35, 143, 14, 122, 29, 137, 11, 119)(5, 113, 15, 123, 22, 130, 7, 115, 20, 128, 45, 153, 81, 189, 100, 208, 94, 202, 60, 168, 38, 146, 16, 124)(8, 116, 23, 131, 43, 151, 18, 126, 41, 149, 75, 183, 104, 212, 98, 206, 67, 175, 87, 195, 52, 160, 24, 132)(10, 118, 27, 135, 57, 165, 36, 144, 46, 154, 83, 191, 107, 215, 82, 190, 61, 169, 30, 138, 59, 167, 28, 136)(12, 120, 19, 127, 44, 152, 74, 182, 40, 148, 73, 181, 102, 210, 91, 199, 68, 176, 34, 142, 64, 172, 32, 140)(21, 129, 47, 155, 84, 192, 50, 158, 76, 184, 70, 178, 93, 201, 58, 166, 37, 145, 49, 157, 86, 194, 48, 156)(26, 134, 55, 163, 90, 198, 54, 162, 89, 197, 65, 173, 95, 203, 63, 171, 31, 139, 62, 170, 92, 200, 56, 164)(42, 150, 77, 185, 105, 213, 80, 188, 103, 211, 88, 196, 108, 216, 85, 193, 51, 159, 79, 187, 106, 214, 78, 186)(217, 325)(218, 326)(219, 327)(220, 328)(221, 329)(222, 330)(223, 331)(224, 332)(225, 333)(226, 334)(227, 335)(228, 336)(229, 337)(230, 338)(231, 339)(232, 340)(233, 341)(234, 342)(235, 343)(236, 344)(237, 345)(238, 346)(239, 347)(240, 348)(241, 349)(242, 350)(243, 351)(244, 352)(245, 353)(246, 354)(247, 355)(248, 356)(249, 357)(250, 358)(251, 359)(252, 360)(253, 361)(254, 362)(255, 363)(256, 364)(257, 365)(258, 366)(259, 367)(260, 368)(261, 369)(262, 370)(263, 371)(264, 372)(265, 373)(266, 374)(267, 375)(268, 376)(269, 377)(270, 378)(271, 379)(272, 380)(273, 381)(274, 382)(275, 383)(276, 384)(277, 385)(278, 386)(279, 387)(280, 388)(281, 389)(282, 390)(283, 391)(284, 392)(285, 393)(286, 394)(287, 395)(288, 396)(289, 397)(290, 398)(291, 399)(292, 400)(293, 401)(294, 402)(295, 403)(296, 404)(297, 405)(298, 406)(299, 407)(300, 408)(301, 409)(302, 410)(303, 411)(304, 412)(305, 413)(306, 414)(307, 415)(308, 416)(309, 417)(310, 418)(311, 419)(312, 420)(313, 421)(314, 422)(315, 423)(316, 424)(317, 425)(318, 426)(319, 427)(320, 428)(321, 429)(322, 430)(323, 431)(324, 432)
	L = (1, 219)(2, 223)(3, 226)(4, 228)(5, 217)(6, 234)(7, 237)(8, 218)(9, 233)(10, 221)(11, 239)(12, 247)(13, 240)(14, 220)(15, 252)(16, 253)(17, 256)(18, 258)(19, 222)(20, 255)(21, 224)(22, 260)(23, 266)(24, 267)(25, 270)(26, 225)(27, 269)(28, 271)(29, 272)(30, 227)(31, 230)(32, 231)(33, 232)(34, 229)(35, 277)(36, 281)(37, 283)(38, 280)(39, 288)(40, 242)(41, 287)(42, 235)(43, 241)(44, 296)(45, 298)(46, 236)(47, 297)(48, 299)(49, 238)(50, 246)(51, 250)(52, 245)(53, 291)(54, 295)(55, 307)(56, 304)(57, 302)(58, 243)(59, 309)(60, 244)(61, 310)(62, 290)(63, 293)(64, 294)(65, 248)(66, 251)(67, 249)(68, 305)(69, 303)(70, 254)(71, 316)(72, 262)(73, 315)(74, 261)(75, 274)(76, 257)(77, 320)(78, 286)(79, 259)(80, 265)(81, 318)(82, 278)(83, 285)(84, 322)(85, 263)(86, 324)(87, 264)(88, 268)(89, 317)(90, 273)(91, 276)(92, 275)(93, 321)(94, 282)(95, 323)(96, 279)(97, 284)(98, 319)(99, 314)(100, 292)(101, 313)(102, 301)(103, 289)(104, 312)(105, 308)(106, 311)(107, 300)(108, 306)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2368
Graph:: simple bipartite
	v = 117 e = 216 f = 45
	degree seq :: [ 2^108, 24^9 ]

E28.2372 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y3 * Y1^-3, (R * Y3)^2, (R * Y1)^2, Y2^2 * Y3 * Y2^-1 * Y1^-1 * Y2, Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3 * Y2^3 * Y1^-1 * Y2^-1, Y2^-2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2^-2 * Y1^-1, Y1 * Y2 * Y1 * Y2^9, Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 109, 2, 110, 6, 114, 4, 112)(3, 111, 9, 117, 25, 133, 11, 119)(5, 113, 14, 122, 36, 144, 15, 123)(7, 115, 19, 127, 45, 153, 21, 129)(8, 116, 22, 130, 50, 158, 23, 131)(10, 118, 28, 136, 59, 167, 29, 137)(12, 120, 31, 139, 62, 170, 32, 140)(13, 121, 33, 141, 64, 172, 34, 142)(16, 124, 30, 138, 61, 169, 38, 146)(17, 125, 39, 147, 71, 179, 41, 149)(18, 126, 42, 150, 76, 184, 43, 151)(20, 128, 47, 155, 82, 190, 48, 156)(24, 132, 49, 157, 84, 192, 52, 160)(26, 134, 46, 154, 72, 180, 56, 164)(27, 135, 57, 165, 92, 200, 58, 166)(35, 143, 63, 171, 94, 202, 66, 174)(37, 145, 51, 159, 77, 185, 65, 173)(40, 148, 73, 181, 101, 209, 74, 182)(44, 152, 75, 183, 102, 210, 78, 186)(53, 161, 89, 197, 103, 211, 90, 198)(54, 162, 91, 199, 69, 177, 88, 196)(55, 163, 87, 195, 67, 175, 80, 188)(60, 168, 81, 189, 104, 212, 85, 193)(68, 176, 93, 201, 99, 207, 98, 206)(70, 178, 83, 191, 100, 208, 97, 205)(79, 187, 105, 213, 96, 204, 106, 214)(86, 194, 107, 215, 95, 203, 108, 216)(217, 325, 219, 327, 226, 334, 235, 343, 262, 370, 297, 405, 321, 429, 313, 421, 281, 389, 250, 358, 232, 340, 221, 329)(218, 326, 223, 331, 236, 344, 255, 363, 288, 396, 316, 424, 314, 422, 285, 393, 253, 361, 231, 339, 240, 348, 224, 332)(220, 328, 228, 336, 243, 351, 225, 333, 242, 350, 271, 379, 305, 413, 320, 428, 293, 401, 259, 367, 251, 359, 229, 337)(222, 330, 233, 341, 256, 364, 247, 355, 272, 380, 307, 415, 324, 432, 303, 411, 267, 375, 239, 347, 260, 368, 234, 342)(227, 335, 238, 346, 264, 372, 244, 352, 276, 384, 287, 395, 315, 423, 312, 420, 280, 388, 304, 412, 268, 376, 246, 354)(230, 338, 245, 353, 273, 381, 296, 404, 261, 369, 295, 403, 319, 427, 292, 400, 286, 394, 254, 362, 279, 387, 248, 356)(237, 345, 258, 366, 290, 398, 263, 371, 299, 407, 278, 386, 311, 419, 284, 392, 252, 360, 283, 391, 294, 402, 265, 373)(241, 349, 269, 377, 302, 410, 266, 374, 301, 409, 282, 390, 291, 399, 257, 365, 249, 357, 274, 382, 289, 397, 270, 378)(275, 383, 309, 417, 318, 426, 308, 416, 322, 430, 300, 408, 317, 425, 306, 414, 277, 385, 298, 406, 323, 431, 310, 418)
	L = (1, 220)(2, 217)(3, 227)(4, 222)(5, 231)(6, 218)(7, 237)(8, 239)(9, 219)(10, 245)(11, 241)(12, 248)(13, 250)(14, 221)(15, 252)(16, 254)(17, 257)(18, 259)(19, 223)(20, 264)(21, 261)(22, 224)(23, 266)(24, 268)(25, 225)(26, 272)(27, 274)(28, 226)(29, 275)(30, 232)(31, 228)(32, 278)(33, 229)(34, 280)(35, 282)(36, 230)(37, 281)(38, 277)(39, 233)(40, 290)(41, 287)(42, 234)(43, 292)(44, 294)(45, 235)(46, 242)(47, 236)(48, 298)(49, 240)(50, 238)(51, 253)(52, 300)(53, 306)(54, 304)(55, 296)(56, 288)(57, 243)(58, 308)(59, 244)(60, 301)(61, 246)(62, 247)(63, 251)(64, 249)(65, 293)(66, 310)(67, 303)(68, 314)(69, 307)(70, 313)(71, 255)(72, 262)(73, 256)(74, 317)(75, 260)(76, 258)(77, 267)(78, 318)(79, 322)(80, 283)(81, 276)(82, 263)(83, 286)(84, 265)(85, 320)(86, 324)(87, 271)(88, 285)(89, 269)(90, 319)(91, 270)(92, 273)(93, 284)(94, 279)(95, 323)(96, 321)(97, 316)(98, 315)(99, 309)(100, 299)(101, 289)(102, 291)(103, 305)(104, 297)(105, 295)(106, 312)(107, 302)(108, 311)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2373
Graph:: bipartite
	v = 36 e = 216 f = 126
	degree seq :: [ 8^27, 24^9 ]

E28.2373 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y3^4 * Y1, (R * Y2 * Y3^-1)^2, Y1^6, (Y3^2 * Y1^-2)^2, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3, (Y3^-1 * Y1^-1)^4, Y1^-1 * Y3^-2 * Y1 * Y3^2 * Y1^-1 * Y3^-2, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 109, 2, 110, 6, 114, 18, 126, 13, 121, 4, 112)(3, 111, 9, 117, 19, 127, 45, 153, 33, 141, 11, 119)(5, 113, 15, 123, 20, 128, 46, 154, 30, 138, 16, 124)(7, 115, 21, 129, 43, 151, 36, 144, 12, 120, 23, 131)(8, 116, 24, 132, 44, 152, 37, 145, 14, 122, 25, 133)(10, 118, 29, 137, 17, 125, 42, 150, 47, 155, 31, 139)(22, 130, 50, 158, 26, 134, 58, 166, 35, 143, 51, 159)(27, 135, 59, 167, 81, 189, 57, 165, 32, 140, 55, 163)(28, 136, 61, 169, 82, 190, 69, 177, 34, 142, 62, 170)(38, 146, 73, 181, 83, 191, 78, 186, 40, 148, 75, 183)(39, 147, 52, 160, 84, 192, 48, 156, 41, 149, 70, 178)(49, 157, 86, 194, 71, 179, 90, 198, 53, 161, 87, 195)(54, 162, 91, 199, 72, 180, 96, 204, 56, 164, 93, 201)(60, 168, 74, 182, 63, 171, 76, 184, 68, 176, 77, 185)(64, 172, 101, 209, 79, 187, 100, 208, 66, 174, 98, 206)(65, 173, 102, 210, 80, 188, 104, 212, 67, 175, 103, 211)(85, 193, 92, 200, 88, 196, 94, 202, 89, 197, 95, 203)(97, 205, 107, 215, 105, 213, 106, 214, 99, 207, 108, 216)(217, 325)(218, 326)(219, 327)(220, 328)(221, 329)(222, 330)(223, 331)(224, 332)(225, 333)(226, 334)(227, 335)(228, 336)(229, 337)(230, 338)(231, 339)(232, 340)(233, 341)(234, 342)(235, 343)(236, 344)(237, 345)(238, 346)(239, 347)(240, 348)(241, 349)(242, 350)(243, 351)(244, 352)(245, 353)(246, 354)(247, 355)(248, 356)(249, 357)(250, 358)(251, 359)(252, 360)(253, 361)(254, 362)(255, 363)(256, 364)(257, 365)(258, 366)(259, 367)(260, 368)(261, 369)(262, 370)(263, 371)(264, 372)(265, 373)(266, 374)(267, 375)(268, 376)(269, 377)(270, 378)(271, 379)(272, 380)(273, 381)(274, 382)(275, 383)(276, 384)(277, 385)(278, 386)(279, 387)(280, 388)(281, 389)(282, 390)(283, 391)(284, 392)(285, 393)(286, 394)(287, 395)(288, 396)(289, 397)(290, 398)(291, 399)(292, 400)(293, 401)(294, 402)(295, 403)(296, 404)(297, 405)(298, 406)(299, 407)(300, 408)(301, 409)(302, 410)(303, 411)(304, 412)(305, 413)(306, 414)(307, 415)(308, 416)(309, 417)(310, 418)(311, 419)(312, 420)(313, 421)(314, 422)(315, 423)(316, 424)(317, 425)(318, 426)(319, 427)(320, 428)(321, 429)(322, 430)(323, 431)(324, 432)
	L = (1, 219)(2, 223)(3, 226)(4, 228)(5, 217)(6, 235)(7, 238)(8, 218)(9, 243)(10, 246)(11, 248)(12, 251)(13, 249)(14, 220)(15, 254)(16, 256)(17, 221)(18, 259)(19, 233)(20, 222)(21, 264)(22, 230)(23, 268)(24, 270)(25, 272)(26, 224)(27, 276)(28, 225)(29, 280)(30, 229)(31, 282)(32, 284)(33, 263)(34, 227)(35, 260)(36, 286)(37, 288)(38, 290)(39, 231)(40, 293)(41, 232)(42, 295)(43, 242)(44, 234)(45, 297)(46, 299)(47, 236)(48, 301)(49, 237)(50, 281)(51, 283)(52, 305)(53, 239)(54, 308)(55, 240)(56, 311)(57, 241)(58, 296)(59, 253)(60, 250)(61, 313)(62, 315)(63, 244)(64, 267)(65, 245)(66, 274)(67, 247)(68, 298)(69, 321)(70, 304)(71, 252)(72, 310)(73, 319)(74, 257)(75, 320)(76, 255)(77, 300)(78, 318)(79, 266)(80, 258)(81, 279)(82, 261)(83, 292)(84, 262)(85, 269)(86, 323)(87, 324)(88, 265)(89, 287)(90, 322)(91, 317)(92, 273)(93, 314)(94, 271)(95, 275)(96, 316)(97, 312)(98, 277)(99, 307)(100, 278)(101, 285)(102, 306)(103, 302)(104, 303)(105, 309)(106, 289)(107, 291)(108, 294)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.2372
Graph:: simple bipartite
	v = 126 e = 216 f = 36
	degree seq :: [ 2^108, 12^18 ]

E28.2374 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 6, 12})
Quotient :: edge
Aut^+ = C3 x ((C3 x C3) : C4) (small group id <108, 36>)
Aut   = (C3 x ((C3 x C3) : C4)) : C2 (small group id <216, 159>)
|r| :: 2
Presentation :: [ F^2, T1^4, T1^4, (F * T2)^2, (F * T1)^2, T2^2 * T1^-1 * T2^-2 * T1, T2^6, (T2^-1 * T1^-1 * T2 * T1^-1)^2, (T1^-2 * T2)^3, T1^-2 * T2 * T1^2 * T2 * T1^2 * T2, T1 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1, (T1 * T2^-3)^4 ]
Map:: non-degenerate
	R = (1, 3, 10, 28, 16, 5)(2, 7, 20, 49, 24, 8)(4, 12, 29, 63, 36, 13)(6, 17, 41, 77, 45, 18)(9, 26, 58, 38, 14, 27)(11, 30, 62, 39, 15, 31)(19, 47, 83, 53, 22, 48)(21, 50, 86, 54, 23, 51)(25, 55, 91, 72, 37, 56)(32, 67, 100, 70, 34, 68)(33, 57, 95, 71, 35, 60)(40, 75, 93, 80, 43, 76)(42, 78, 92, 81, 44, 79)(46, 69, 104, 66, 52, 82)(59, 96, 73, 99, 61, 97)(64, 101, 74, 103, 65, 102)(84, 98, 89, 94, 85, 108)(87, 106, 90, 105, 88, 107)(109, 110, 114, 112)(111, 117, 133, 119)(113, 122, 145, 123)(115, 127, 154, 129)(116, 130, 160, 131)(118, 128, 149, 137)(120, 140, 174, 141)(121, 142, 177, 143)(124, 132, 153, 144)(125, 148, 180, 150)(126, 151, 163, 152)(134, 165, 202, 167)(135, 168, 206, 169)(136, 166, 199, 170)(138, 172, 192, 155)(139, 173, 193, 156)(146, 179, 216, 181)(147, 182, 197, 161)(157, 191, 212, 194)(158, 195, 211, 183)(159, 196, 209, 184)(162, 198, 210, 188)(164, 200, 185, 201)(171, 208, 190, 203)(175, 186, 207, 213)(176, 187, 204, 214)(178, 189, 205, 215)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 24^4 ), ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2378
Transitivity :: ET+
Graph:: simple bipartite
	v = 45 e = 108 f = 9
	degree seq :: [ 4^27, 6^18 ]

E28.2375 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 6, 12})
Quotient :: edge
Aut^+ = C3 x ((C3 x C3) : C4) (small group id <108, 36>)
Aut   = (C3 x ((C3 x C3) : C4)) : C2 (small group id <216, 159>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-4 * T1^2, T1 * T2^-1 * T1^-2 * T2 * T1, T1^6, T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, (T2^-1 * T1^-1)^4, (T1^-1 * T2^2)^3, (T1 * T2^2)^3 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 20, 6, 19, 46, 35, 13, 32, 17, 5)(2, 7, 22, 44, 18, 43, 37, 14, 4, 12, 26, 8)(9, 27, 60, 82, 45, 81, 69, 33, 11, 31, 63, 28)(15, 38, 74, 84, 47, 83, 78, 41, 16, 40, 76, 39)(21, 48, 85, 71, 34, 70, 90, 53, 23, 52, 88, 49)(24, 54, 92, 59, 36, 72, 96, 57, 25, 56, 94, 55)(29, 64, 50, 80, 42, 79, 58, 67, 30, 66, 51, 65)(61, 97, 91, 101, 68, 105, 95, 100, 62, 99, 93, 98)(73, 102, 86, 108, 77, 104, 89, 107, 75, 103, 87, 106)(109, 110, 114, 126, 121, 112)(111, 117, 127, 153, 140, 119)(113, 123, 128, 155, 143, 124)(115, 129, 151, 142, 120, 131)(116, 132, 152, 144, 122, 133)(118, 137, 154, 150, 125, 138)(130, 158, 145, 166, 134, 159)(135, 167, 189, 165, 139, 163)(136, 169, 190, 176, 141, 170)(146, 181, 191, 185, 148, 183)(147, 160, 192, 156, 149, 178)(157, 194, 179, 197, 161, 195)(162, 199, 180, 203, 164, 201)(168, 186, 177, 184, 171, 182)(172, 209, 187, 208, 174, 206)(173, 210, 188, 212, 175, 211)(193, 204, 198, 202, 196, 200)(205, 216, 213, 215, 207, 214)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 8^6 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2379
Transitivity :: ET+
Graph:: bipartite
	v = 27 e = 108 f = 27
	degree seq :: [ 6^18, 12^9 ]

E28.2376 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 6, 12})
Quotient :: edge
Aut^+ = C3 x ((C3 x C3) : C4) (small group id <108, 36>)
Aut   = (C3 x ((C3 x C3) : C4)) : C2 (small group id <216, 159>)
|r| :: 2
Presentation :: [ F^2, T2^4, (F * T1)^2, (F * T2)^2, (T1^-1 * T2)^3, (T1^-1 * T2)^3, (T1 * T2^-1 * T1^-1 * T2^-1)^2, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^2 * T2^-1, (T1^-1 * T2 * T1^-2)^2, T2^-1 * T1^-5 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 10, 5)(2, 7, 21, 8)(4, 12, 33, 14)(6, 18, 49, 19)(9, 26, 52, 27)(11, 23, 61, 31)(13, 35, 80, 37)(15, 41, 78, 34)(16, 42, 79, 44)(17, 46, 85, 47)(20, 54, 87, 55)(22, 51, 94, 59)(24, 62, 32, 64)(25, 66, 102, 63)(28, 70, 88, 71)(29, 67, 86, 58)(30, 73, 93, 50)(36, 81, 89, 48)(38, 68, 90, 60)(39, 75, 84, 45)(40, 82, 99, 56)(43, 76, 91, 83)(53, 96, 77, 95)(57, 97, 65, 92)(69, 100, 108, 105)(72, 101, 106, 103)(74, 98, 107, 104)(109, 110, 114, 125, 153, 152, 172, 134, 162, 144, 121, 112)(111, 117, 133, 173, 147, 122, 146, 178, 195, 155, 138, 119)(113, 123, 148, 189, 192, 166, 130, 115, 128, 161, 151, 124)(116, 131, 168, 143, 187, 200, 158, 126, 156, 196, 171, 132)(118, 136, 177, 204, 183, 139, 182, 149, 163, 205, 180, 137)(120, 140, 184, 194, 154, 145, 190, 203, 160, 127, 159, 142)(129, 164, 206, 179, 150, 167, 209, 169, 197, 191, 208, 165)(135, 175, 212, 181, 141, 185, 211, 174, 193, 186, 213, 176)(157, 198, 214, 207, 170, 201, 216, 202, 188, 210, 215, 199)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12^4 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2377
Transitivity :: ET+
Graph:: simple bipartite
	v = 36 e = 108 f = 18
	degree seq :: [ 4^27, 12^9 ]

E28.2377 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 6, 12})
Quotient :: loop
Aut^+ = C3 x ((C3 x C3) : C4) (small group id <108, 36>)
Aut   = (C3 x ((C3 x C3) : C4)) : C2 (small group id <216, 159>)
|r| :: 2
Presentation :: [ F^2, T1^4, T1^4, (F * T2)^2, (F * T1)^2, T2^2 * T1^-1 * T2^-2 * T1, T2^6, (T2^-1 * T1^-1 * T2 * T1^-1)^2, (T1^-2 * T2)^3, T1^-2 * T2 * T1^2 * T2 * T1^2 * T2, T1 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1, (T1 * T2^-3)^4 ]
Map:: non-degenerate
	R = (1, 109, 3, 111, 10, 118, 28, 136, 16, 124, 5, 113)(2, 110, 7, 115, 20, 128, 49, 157, 24, 132, 8, 116)(4, 112, 12, 120, 29, 137, 63, 171, 36, 144, 13, 121)(6, 114, 17, 125, 41, 149, 77, 185, 45, 153, 18, 126)(9, 117, 26, 134, 58, 166, 38, 146, 14, 122, 27, 135)(11, 119, 30, 138, 62, 170, 39, 147, 15, 123, 31, 139)(19, 127, 47, 155, 83, 191, 53, 161, 22, 130, 48, 156)(21, 129, 50, 158, 86, 194, 54, 162, 23, 131, 51, 159)(25, 133, 55, 163, 91, 199, 72, 180, 37, 145, 56, 164)(32, 140, 67, 175, 100, 208, 70, 178, 34, 142, 68, 176)(33, 141, 57, 165, 95, 203, 71, 179, 35, 143, 60, 168)(40, 148, 75, 183, 93, 201, 80, 188, 43, 151, 76, 184)(42, 150, 78, 186, 92, 200, 81, 189, 44, 152, 79, 187)(46, 154, 69, 177, 104, 212, 66, 174, 52, 160, 82, 190)(59, 167, 96, 204, 73, 181, 99, 207, 61, 169, 97, 205)(64, 172, 101, 209, 74, 182, 103, 211, 65, 173, 102, 210)(84, 192, 98, 206, 89, 197, 94, 202, 85, 193, 108, 216)(87, 195, 106, 214, 90, 198, 105, 213, 88, 196, 107, 215)
	L = (1, 110)(2, 114)(3, 117)(4, 109)(5, 122)(6, 112)(7, 127)(8, 130)(9, 133)(10, 128)(11, 111)(12, 140)(13, 142)(14, 145)(15, 113)(16, 132)(17, 148)(18, 151)(19, 154)(20, 149)(21, 115)(22, 160)(23, 116)(24, 153)(25, 119)(26, 165)(27, 168)(28, 166)(29, 118)(30, 172)(31, 173)(32, 174)(33, 120)(34, 177)(35, 121)(36, 124)(37, 123)(38, 179)(39, 182)(40, 180)(41, 137)(42, 125)(43, 163)(44, 126)(45, 144)(46, 129)(47, 138)(48, 139)(49, 191)(50, 195)(51, 196)(52, 131)(53, 147)(54, 198)(55, 152)(56, 200)(57, 202)(58, 199)(59, 134)(60, 206)(61, 135)(62, 136)(63, 208)(64, 192)(65, 193)(66, 141)(67, 186)(68, 187)(69, 143)(70, 189)(71, 216)(72, 150)(73, 146)(74, 197)(75, 158)(76, 159)(77, 201)(78, 207)(79, 204)(80, 162)(81, 205)(82, 203)(83, 212)(84, 155)(85, 156)(86, 157)(87, 211)(88, 209)(89, 161)(90, 210)(91, 170)(92, 185)(93, 164)(94, 167)(95, 171)(96, 214)(97, 215)(98, 169)(99, 213)(100, 190)(101, 184)(102, 188)(103, 183)(104, 194)(105, 175)(106, 176)(107, 178)(108, 181)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2376
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 12^18 ]

E28.2378 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 6, 12})
Quotient :: loop
Aut^+ = C3 x ((C3 x C3) : C4) (small group id <108, 36>)
Aut   = (C3 x ((C3 x C3) : C4)) : C2 (small group id <216, 159>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-4 * T1^2, T1 * T2^-1 * T1^-2 * T2 * T1, T1^6, T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, (T2^-1 * T1^-1)^4, (T1^-1 * T2^2)^3, (T1 * T2^2)^3 ]
Map:: non-degenerate
	R = (1, 109, 3, 111, 10, 118, 20, 128, 6, 114, 19, 127, 46, 154, 35, 143, 13, 121, 32, 140, 17, 125, 5, 113)(2, 110, 7, 115, 22, 130, 44, 152, 18, 126, 43, 151, 37, 145, 14, 122, 4, 112, 12, 120, 26, 134, 8, 116)(9, 117, 27, 135, 60, 168, 82, 190, 45, 153, 81, 189, 69, 177, 33, 141, 11, 119, 31, 139, 63, 171, 28, 136)(15, 123, 38, 146, 74, 182, 84, 192, 47, 155, 83, 191, 78, 186, 41, 149, 16, 124, 40, 148, 76, 184, 39, 147)(21, 129, 48, 156, 85, 193, 71, 179, 34, 142, 70, 178, 90, 198, 53, 161, 23, 131, 52, 160, 88, 196, 49, 157)(24, 132, 54, 162, 92, 200, 59, 167, 36, 144, 72, 180, 96, 204, 57, 165, 25, 133, 56, 164, 94, 202, 55, 163)(29, 137, 64, 172, 50, 158, 80, 188, 42, 150, 79, 187, 58, 166, 67, 175, 30, 138, 66, 174, 51, 159, 65, 173)(61, 169, 97, 205, 91, 199, 101, 209, 68, 176, 105, 213, 95, 203, 100, 208, 62, 170, 99, 207, 93, 201, 98, 206)(73, 181, 102, 210, 86, 194, 108, 216, 77, 185, 104, 212, 89, 197, 107, 215, 75, 183, 103, 211, 87, 195, 106, 214)
	L = (1, 110)(2, 114)(3, 117)(4, 109)(5, 123)(6, 126)(7, 129)(8, 132)(9, 127)(10, 137)(11, 111)(12, 131)(13, 112)(14, 133)(15, 128)(16, 113)(17, 138)(18, 121)(19, 153)(20, 155)(21, 151)(22, 158)(23, 115)(24, 152)(25, 116)(26, 159)(27, 167)(28, 169)(29, 154)(30, 118)(31, 163)(32, 119)(33, 170)(34, 120)(35, 124)(36, 122)(37, 166)(38, 181)(39, 160)(40, 183)(41, 178)(42, 125)(43, 142)(44, 144)(45, 140)(46, 150)(47, 143)(48, 149)(49, 194)(50, 145)(51, 130)(52, 192)(53, 195)(54, 199)(55, 135)(56, 201)(57, 139)(58, 134)(59, 189)(60, 186)(61, 190)(62, 136)(63, 182)(64, 209)(65, 210)(66, 206)(67, 211)(68, 141)(69, 184)(70, 147)(71, 197)(72, 203)(73, 191)(74, 168)(75, 146)(76, 171)(77, 148)(78, 177)(79, 208)(80, 212)(81, 165)(82, 176)(83, 185)(84, 156)(85, 204)(86, 179)(87, 157)(88, 200)(89, 161)(90, 202)(91, 180)(92, 193)(93, 162)(94, 196)(95, 164)(96, 198)(97, 216)(98, 172)(99, 214)(100, 174)(101, 187)(102, 188)(103, 173)(104, 175)(105, 215)(106, 205)(107, 207)(108, 213)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2374
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 108 f = 45
	degree seq :: [ 24^9 ]

E28.2379 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 6, 12})
Quotient :: loop
Aut^+ = C3 x ((C3 x C3) : C4) (small group id <108, 36>)
Aut   = (C3 x ((C3 x C3) : C4)) : C2 (small group id <216, 159>)
|r| :: 2
Presentation :: [ F^2, T2^4, (F * T1)^2, (F * T2)^2, (T1^-1 * T2)^3, (T1^-1 * T2)^3, (T1 * T2^-1 * T1^-1 * T2^-1)^2, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^2 * T2^-1, (T1^-1 * T2 * T1^-2)^2, T2^-1 * T1^-5 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 109, 3, 111, 10, 118, 5, 113)(2, 110, 7, 115, 21, 129, 8, 116)(4, 112, 12, 120, 33, 141, 14, 122)(6, 114, 18, 126, 49, 157, 19, 127)(9, 117, 26, 134, 52, 160, 27, 135)(11, 119, 23, 131, 61, 169, 31, 139)(13, 121, 35, 143, 80, 188, 37, 145)(15, 123, 41, 149, 78, 186, 34, 142)(16, 124, 42, 150, 79, 187, 44, 152)(17, 125, 46, 154, 85, 193, 47, 155)(20, 128, 54, 162, 87, 195, 55, 163)(22, 130, 51, 159, 94, 202, 59, 167)(24, 132, 62, 170, 32, 140, 64, 172)(25, 133, 66, 174, 102, 210, 63, 171)(28, 136, 70, 178, 88, 196, 71, 179)(29, 137, 67, 175, 86, 194, 58, 166)(30, 138, 73, 181, 93, 201, 50, 158)(36, 144, 81, 189, 89, 197, 48, 156)(38, 146, 68, 176, 90, 198, 60, 168)(39, 147, 75, 183, 84, 192, 45, 153)(40, 148, 82, 190, 99, 207, 56, 164)(43, 151, 76, 184, 91, 199, 83, 191)(53, 161, 96, 204, 77, 185, 95, 203)(57, 165, 97, 205, 65, 173, 92, 200)(69, 177, 100, 208, 108, 216, 105, 213)(72, 180, 101, 209, 106, 214, 103, 211)(74, 182, 98, 206, 107, 215, 104, 212)
	L = (1, 110)(2, 114)(3, 117)(4, 109)(5, 123)(6, 125)(7, 128)(8, 131)(9, 133)(10, 136)(11, 111)(12, 140)(13, 112)(14, 146)(15, 148)(16, 113)(17, 153)(18, 156)(19, 159)(20, 161)(21, 164)(22, 115)(23, 168)(24, 116)(25, 173)(26, 162)(27, 175)(28, 177)(29, 118)(30, 119)(31, 182)(32, 184)(33, 185)(34, 120)(35, 187)(36, 121)(37, 190)(38, 178)(39, 122)(40, 189)(41, 163)(42, 167)(43, 124)(44, 172)(45, 152)(46, 145)(47, 138)(48, 196)(49, 198)(50, 126)(51, 142)(52, 127)(53, 151)(54, 144)(55, 205)(56, 206)(57, 129)(58, 130)(59, 209)(60, 143)(61, 197)(62, 201)(63, 132)(64, 134)(65, 147)(66, 193)(67, 212)(68, 135)(69, 204)(70, 195)(71, 150)(72, 137)(73, 141)(74, 149)(75, 139)(76, 194)(77, 211)(78, 213)(79, 200)(80, 210)(81, 192)(82, 203)(83, 208)(84, 166)(85, 186)(86, 154)(87, 155)(88, 171)(89, 191)(90, 214)(91, 157)(92, 158)(93, 216)(94, 188)(95, 160)(96, 183)(97, 180)(98, 179)(99, 170)(100, 165)(101, 169)(102, 215)(103, 174)(104, 181)(105, 176)(106, 207)(107, 199)(108, 202)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2375
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 27 e = 108 f = 27
	degree seq :: [ 8^27 ]

E28.2380 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x ((C3 x C3) : C4) (small group id <108, 36>)
Aut   = (C3 x ((C3 x C3) : C4)) : C2 (small group id <216, 159>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y1)^2, (R * Y3)^2, Y1^2 * Y3^-1 * Y1, Y2^-1 * Y1^-1 * Y3^-1 * Y2 * Y3^-1 * Y1^-1, Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2 * Y3^-1, Y2 * Y3^-1 * Y2^-2 * Y3 * Y2, Y2^2 * Y3^-1 * Y2^-2 * Y3, (R * Y2 * Y3^-1)^2, (R * Y2^2)^2, Y2^2 * Y1^-1 * Y2^-2 * Y1, Y2^6, Y1^2 * Y2 * Y3 * Y1 * Y2^-1 * Y1^2, Y1^-2 * Y2^-1 * Y3^-1 * Y1^-1 * Y2 * Y1^-2, Y3^-1 * Y1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2 * Y3^-1, Y3 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y3 * Y2^-1, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y3^-1, Y1 * Y2 * Y1^-2 * Y2 * Y1^-2 * Y2 * Y3^-1, Y1^-1 * Y3 * Y2^3 * Y1 * Y3^-1 * Y2 * Y1^-2 * Y2^-1, (Y2^-1 * Y1)^12 ]
Map::
	R = (1, 109, 2, 110, 6, 114, 4, 112)(3, 111, 9, 117, 25, 133, 11, 119)(5, 113, 14, 122, 37, 145, 15, 123)(7, 115, 19, 127, 46, 154, 21, 129)(8, 116, 22, 130, 52, 160, 23, 131)(10, 118, 20, 128, 41, 149, 29, 137)(12, 120, 32, 140, 66, 174, 33, 141)(13, 121, 34, 142, 69, 177, 35, 143)(16, 124, 24, 132, 45, 153, 36, 144)(17, 125, 40, 148, 72, 180, 42, 150)(18, 126, 43, 151, 55, 163, 44, 152)(26, 134, 57, 165, 94, 202, 59, 167)(27, 135, 60, 168, 98, 206, 61, 169)(28, 136, 58, 166, 91, 199, 62, 170)(30, 138, 64, 172, 84, 192, 47, 155)(31, 139, 65, 173, 85, 193, 48, 156)(38, 146, 71, 179, 108, 216, 73, 181)(39, 147, 74, 182, 89, 197, 53, 161)(49, 157, 83, 191, 104, 212, 86, 194)(50, 158, 87, 195, 103, 211, 75, 183)(51, 159, 88, 196, 101, 209, 76, 184)(54, 162, 90, 198, 102, 210, 80, 188)(56, 164, 92, 200, 77, 185, 93, 201)(63, 171, 100, 208, 82, 190, 95, 203)(67, 175, 78, 186, 99, 207, 105, 213)(68, 176, 79, 187, 96, 204, 106, 214)(70, 178, 81, 189, 97, 205, 107, 215)(217, 325, 219, 327, 226, 334, 244, 352, 232, 340, 221, 329)(218, 326, 223, 331, 236, 344, 265, 373, 240, 348, 224, 332)(220, 328, 228, 336, 245, 353, 279, 387, 252, 360, 229, 337)(222, 330, 233, 341, 257, 365, 293, 401, 261, 369, 234, 342)(225, 333, 242, 350, 274, 382, 254, 362, 230, 338, 243, 351)(227, 335, 246, 354, 278, 386, 255, 363, 231, 339, 247, 355)(235, 343, 263, 371, 299, 407, 269, 377, 238, 346, 264, 372)(237, 345, 266, 374, 302, 410, 270, 378, 239, 347, 267, 375)(241, 349, 271, 379, 307, 415, 288, 396, 253, 361, 272, 380)(248, 356, 283, 391, 316, 424, 286, 394, 250, 358, 284, 392)(249, 357, 273, 381, 311, 419, 287, 395, 251, 359, 276, 384)(256, 364, 291, 399, 309, 417, 296, 404, 259, 367, 292, 400)(258, 366, 294, 402, 308, 416, 297, 405, 260, 368, 295, 403)(262, 370, 285, 393, 320, 428, 282, 390, 268, 376, 298, 406)(275, 383, 312, 420, 289, 397, 315, 423, 277, 385, 313, 421)(280, 388, 317, 425, 290, 398, 319, 427, 281, 389, 318, 426)(300, 408, 314, 422, 305, 413, 310, 418, 301, 409, 324, 432)(303, 411, 322, 430, 306, 414, 321, 429, 304, 412, 323, 431)
	L = (1, 220)(2, 217)(3, 227)(4, 222)(5, 231)(6, 218)(7, 237)(8, 239)(9, 219)(10, 245)(11, 241)(12, 249)(13, 251)(14, 221)(15, 253)(16, 252)(17, 258)(18, 260)(19, 223)(20, 226)(21, 262)(22, 224)(23, 268)(24, 232)(25, 225)(26, 275)(27, 277)(28, 278)(29, 257)(30, 263)(31, 264)(32, 228)(33, 282)(34, 229)(35, 285)(36, 261)(37, 230)(38, 289)(39, 269)(40, 233)(41, 236)(42, 288)(43, 234)(44, 271)(45, 240)(46, 235)(47, 300)(48, 301)(49, 302)(50, 291)(51, 292)(52, 238)(53, 305)(54, 296)(55, 259)(56, 309)(57, 242)(58, 244)(59, 310)(60, 243)(61, 314)(62, 307)(63, 311)(64, 246)(65, 247)(66, 248)(67, 321)(68, 322)(69, 250)(70, 323)(71, 254)(72, 256)(73, 324)(74, 255)(75, 319)(76, 317)(77, 308)(78, 283)(79, 284)(80, 318)(81, 286)(82, 316)(83, 265)(84, 280)(85, 281)(86, 320)(87, 266)(88, 267)(89, 290)(90, 270)(91, 274)(92, 272)(93, 293)(94, 273)(95, 298)(96, 295)(97, 297)(98, 276)(99, 294)(100, 279)(101, 304)(102, 306)(103, 303)(104, 299)(105, 315)(106, 312)(107, 313)(108, 287)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.2383
Graph:: bipartite
	v = 45 e = 216 f = 117
	degree seq :: [ 8^27, 12^18 ]

E28.2381 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x ((C3 x C3) : C4) (small group id <108, 36>)
Aut   = (C3 x ((C3 x C3) : C4)) : C2 (small group id <216, 159>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1 * Y2^-4 * Y1, Y1^6, (Y3^-1 * Y1^-1)^4, Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y1^-1 * Y2^2 * Y1^-1 * Y2^2 * Y1 * Y2^-2, (Y1 * Y2^2)^3, Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2 ]
Map::
	R = (1, 109, 2, 110, 6, 114, 18, 126, 13, 121, 4, 112)(3, 111, 9, 117, 19, 127, 45, 153, 32, 140, 11, 119)(5, 113, 15, 123, 20, 128, 47, 155, 35, 143, 16, 124)(7, 115, 21, 129, 43, 151, 34, 142, 12, 120, 23, 131)(8, 116, 24, 132, 44, 152, 36, 144, 14, 122, 25, 133)(10, 118, 29, 137, 46, 154, 42, 150, 17, 125, 30, 138)(22, 130, 50, 158, 37, 145, 58, 166, 26, 134, 51, 159)(27, 135, 59, 167, 81, 189, 57, 165, 31, 139, 55, 163)(28, 136, 61, 169, 82, 190, 68, 176, 33, 141, 62, 170)(38, 146, 73, 181, 83, 191, 77, 185, 40, 148, 75, 183)(39, 147, 52, 160, 84, 192, 48, 156, 41, 149, 70, 178)(49, 157, 86, 194, 71, 179, 89, 197, 53, 161, 87, 195)(54, 162, 91, 199, 72, 180, 95, 203, 56, 164, 93, 201)(60, 168, 78, 186, 69, 177, 76, 184, 63, 171, 74, 182)(64, 172, 101, 209, 79, 187, 100, 208, 66, 174, 98, 206)(65, 173, 102, 210, 80, 188, 104, 212, 67, 175, 103, 211)(85, 193, 96, 204, 90, 198, 94, 202, 88, 196, 92, 200)(97, 205, 108, 216, 105, 213, 107, 215, 99, 207, 106, 214)(217, 325, 219, 327, 226, 334, 236, 344, 222, 330, 235, 343, 262, 370, 251, 359, 229, 337, 248, 356, 233, 341, 221, 329)(218, 326, 223, 331, 238, 346, 260, 368, 234, 342, 259, 367, 253, 361, 230, 338, 220, 328, 228, 336, 242, 350, 224, 332)(225, 333, 243, 351, 276, 384, 298, 406, 261, 369, 297, 405, 285, 393, 249, 357, 227, 335, 247, 355, 279, 387, 244, 352)(231, 339, 254, 362, 290, 398, 300, 408, 263, 371, 299, 407, 294, 402, 257, 365, 232, 340, 256, 364, 292, 400, 255, 363)(237, 345, 264, 372, 301, 409, 287, 395, 250, 358, 286, 394, 306, 414, 269, 377, 239, 347, 268, 376, 304, 412, 265, 373)(240, 348, 270, 378, 308, 416, 275, 383, 252, 360, 288, 396, 312, 420, 273, 381, 241, 349, 272, 380, 310, 418, 271, 379)(245, 353, 280, 388, 266, 374, 296, 404, 258, 366, 295, 403, 274, 382, 283, 391, 246, 354, 282, 390, 267, 375, 281, 389)(277, 385, 313, 421, 307, 415, 317, 425, 284, 392, 321, 429, 311, 419, 316, 424, 278, 386, 315, 423, 309, 417, 314, 422)(289, 397, 318, 426, 302, 410, 324, 432, 293, 401, 320, 428, 305, 413, 323, 431, 291, 399, 319, 427, 303, 411, 322, 430)
	L = (1, 219)(2, 223)(3, 226)(4, 228)(5, 217)(6, 235)(7, 238)(8, 218)(9, 243)(10, 236)(11, 247)(12, 242)(13, 248)(14, 220)(15, 254)(16, 256)(17, 221)(18, 259)(19, 262)(20, 222)(21, 264)(22, 260)(23, 268)(24, 270)(25, 272)(26, 224)(27, 276)(28, 225)(29, 280)(30, 282)(31, 279)(32, 233)(33, 227)(34, 286)(35, 229)(36, 288)(37, 230)(38, 290)(39, 231)(40, 292)(41, 232)(42, 295)(43, 253)(44, 234)(45, 297)(46, 251)(47, 299)(48, 301)(49, 237)(50, 296)(51, 281)(52, 304)(53, 239)(54, 308)(55, 240)(56, 310)(57, 241)(58, 283)(59, 252)(60, 298)(61, 313)(62, 315)(63, 244)(64, 266)(65, 245)(66, 267)(67, 246)(68, 321)(69, 249)(70, 306)(71, 250)(72, 312)(73, 318)(74, 300)(75, 319)(76, 255)(77, 320)(78, 257)(79, 274)(80, 258)(81, 285)(82, 261)(83, 294)(84, 263)(85, 287)(86, 324)(87, 322)(88, 265)(89, 323)(90, 269)(91, 317)(92, 275)(93, 314)(94, 271)(95, 316)(96, 273)(97, 307)(98, 277)(99, 309)(100, 278)(101, 284)(102, 302)(103, 303)(104, 305)(105, 311)(106, 289)(107, 291)(108, 293)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.2382
Graph:: bipartite
	v = 27 e = 216 f = 135
	degree seq :: [ 12^18, 24^9 ]

E28.2382 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x ((C3 x C3) : C4) (small group id <108, 36>)
Aut   = (C3 x ((C3 x C3) : C4)) : C2 (small group id <216, 159>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^4, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2)^3, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y3^-1)^3, (Y2 * Y3^-1 * Y2 * Y3)^2, Y3^5 * Y2^-1 * Y3 * Y2^-1, Y3 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y3^-1 * Y2 * Y3^-2 * Y2 * Y3^3 * Y2^-2, Y3^-3 * Y2^2 * Y3 * Y2^-1 * Y3^2 * Y2^-1, Y3^2 * Y2^-1 * Y3^2 * Y2^-2 * Y3^-1 * Y2^-2, (Y3^-1 * Y1^-1)^12 ]
Map:: polytopal
	R = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)(217, 325, 218, 326, 222, 330, 220, 328)(219, 327, 225, 333, 241, 349, 227, 335)(221, 329, 230, 338, 254, 362, 231, 339)(223, 331, 235, 343, 267, 375, 237, 345)(224, 332, 238, 346, 274, 382, 239, 347)(226, 334, 244, 352, 286, 394, 246, 354)(228, 336, 249, 357, 287, 395, 251, 359)(229, 337, 252, 360, 283, 391, 242, 350)(232, 340, 258, 366, 299, 407, 259, 367)(233, 341, 261, 369, 300, 408, 263, 371)(234, 342, 264, 372, 306, 414, 265, 373)(236, 344, 269, 377, 314, 422, 271, 379)(240, 348, 278, 386, 318, 426, 279, 387)(243, 351, 275, 383, 257, 365, 284, 392)(245, 353, 288, 396, 312, 420, 289, 397)(247, 355, 272, 380, 305, 413, 292, 400)(248, 356, 277, 385, 313, 421, 268, 376)(250, 358, 285, 393, 321, 429, 295, 403)(253, 361, 291, 399, 320, 428, 297, 405)(255, 363, 282, 390, 319, 427, 293, 401)(256, 364, 276, 384, 307, 415, 296, 404)(260, 368, 290, 398, 315, 423, 270, 378)(262, 370, 302, 410, 323, 431, 304, 412)(266, 374, 309, 417, 324, 432, 310, 418)(273, 381, 308, 416, 322, 430, 301, 409)(280, 388, 316, 424, 298, 406, 303, 411)(281, 389, 317, 425, 294, 402, 311, 419)
	L = (1, 219)(2, 223)(3, 226)(4, 228)(5, 217)(6, 233)(7, 236)(8, 218)(9, 242)(10, 245)(11, 247)(12, 250)(13, 220)(14, 255)(15, 257)(16, 221)(17, 262)(18, 222)(19, 231)(20, 270)(21, 272)(22, 275)(23, 277)(24, 224)(25, 269)(26, 282)(27, 225)(28, 268)(29, 276)(30, 290)(31, 280)(32, 227)(33, 265)(34, 294)(35, 292)(36, 273)(37, 229)(38, 298)(39, 263)(40, 230)(41, 279)(42, 271)(43, 274)(44, 232)(45, 239)(46, 303)(47, 305)(48, 248)(49, 308)(50, 234)(51, 302)(52, 235)(53, 301)(54, 307)(55, 316)(56, 311)(57, 237)(58, 317)(59, 251)(60, 238)(61, 310)(62, 304)(63, 306)(64, 240)(65, 241)(66, 259)(67, 315)(68, 320)(69, 243)(70, 319)(71, 244)(72, 253)(73, 258)(74, 300)(75, 246)(76, 260)(77, 249)(78, 256)(79, 312)(80, 252)(81, 254)(82, 309)(83, 321)(84, 285)(85, 261)(86, 293)(87, 296)(88, 281)(89, 288)(90, 289)(91, 264)(92, 297)(93, 295)(94, 283)(95, 266)(96, 267)(97, 299)(98, 284)(99, 278)(100, 287)(101, 291)(102, 286)(103, 324)(104, 323)(105, 322)(106, 318)(107, 313)(108, 314)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.2381
Graph:: simple bipartite
	v = 135 e = 216 f = 27
	degree seq :: [ 2^108, 8^27 ]

E28.2383 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x ((C3 x C3) : C4) (small group id <108, 36>)
Aut   = (C3 x ((C3 x C3) : C4)) : C2 (small group id <216, 159>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, (Y1^-1 * Y3)^3, (Y3^-1 * Y1)^3, (R * Y2 * Y3^-1)^2, Y1^-4 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y3^-2 * Y1^-1 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-1, (Y1^-1 * Y3 * Y1 * Y3)^2, (Y3 * Y2^-1)^4, (Y1^-1 * Y3 * Y1^-2)^2 ]
Map::
	R = (1, 109, 2, 110, 6, 114, 17, 125, 45, 153, 44, 152, 64, 172, 26, 134, 54, 162, 36, 144, 13, 121, 4, 112)(3, 111, 9, 117, 25, 133, 65, 173, 39, 147, 14, 122, 38, 146, 70, 178, 87, 195, 47, 155, 30, 138, 11, 119)(5, 113, 15, 123, 40, 148, 81, 189, 84, 192, 58, 166, 22, 130, 7, 115, 20, 128, 53, 161, 43, 151, 16, 124)(8, 116, 23, 131, 60, 168, 35, 143, 79, 187, 92, 200, 50, 158, 18, 126, 48, 156, 88, 196, 63, 171, 24, 132)(10, 118, 28, 136, 69, 177, 96, 204, 75, 183, 31, 139, 74, 182, 41, 149, 55, 163, 97, 205, 72, 180, 29, 137)(12, 120, 32, 140, 76, 184, 86, 194, 46, 154, 37, 145, 82, 190, 95, 203, 52, 160, 19, 127, 51, 159, 34, 142)(21, 129, 56, 164, 98, 206, 71, 179, 42, 150, 59, 167, 101, 209, 61, 169, 89, 197, 83, 191, 100, 208, 57, 165)(27, 135, 67, 175, 104, 212, 73, 181, 33, 141, 77, 185, 103, 211, 66, 174, 85, 193, 78, 186, 105, 213, 68, 176)(49, 157, 90, 198, 106, 214, 99, 207, 62, 170, 93, 201, 108, 216, 94, 202, 80, 188, 102, 210, 107, 215, 91, 199)(217, 325)(218, 326)(219, 327)(220, 328)(221, 329)(222, 330)(223, 331)(224, 332)(225, 333)(226, 334)(227, 335)(228, 336)(229, 337)(230, 338)(231, 339)(232, 340)(233, 341)(234, 342)(235, 343)(236, 344)(237, 345)(238, 346)(239, 347)(240, 348)(241, 349)(242, 350)(243, 351)(244, 352)(245, 353)(246, 354)(247, 355)(248, 356)(249, 357)(250, 358)(251, 359)(252, 360)(253, 361)(254, 362)(255, 363)(256, 364)(257, 365)(258, 366)(259, 367)(260, 368)(261, 369)(262, 370)(263, 371)(264, 372)(265, 373)(266, 374)(267, 375)(268, 376)(269, 377)(270, 378)(271, 379)(272, 380)(273, 381)(274, 382)(275, 383)(276, 384)(277, 385)(278, 386)(279, 387)(280, 388)(281, 389)(282, 390)(283, 391)(284, 392)(285, 393)(286, 394)(287, 395)(288, 396)(289, 397)(290, 398)(291, 399)(292, 400)(293, 401)(294, 402)(295, 403)(296, 404)(297, 405)(298, 406)(299, 407)(300, 408)(301, 409)(302, 410)(303, 411)(304, 412)(305, 413)(306, 414)(307, 415)(308, 416)(309, 417)(310, 418)(311, 419)(312, 420)(313, 421)(314, 422)(315, 423)(316, 424)(317, 425)(318, 426)(319, 427)(320, 428)(321, 429)(322, 430)(323, 431)(324, 432)
	L = (1, 219)(2, 223)(3, 226)(4, 228)(5, 217)(6, 234)(7, 237)(8, 218)(9, 242)(10, 221)(11, 239)(12, 249)(13, 251)(14, 220)(15, 257)(16, 258)(17, 262)(18, 265)(19, 222)(20, 270)(21, 224)(22, 267)(23, 277)(24, 278)(25, 282)(26, 268)(27, 225)(28, 286)(29, 283)(30, 289)(31, 227)(32, 280)(33, 230)(34, 231)(35, 296)(36, 297)(37, 229)(38, 284)(39, 291)(40, 298)(41, 294)(42, 295)(43, 292)(44, 232)(45, 255)(46, 301)(47, 233)(48, 252)(49, 235)(50, 246)(51, 310)(52, 243)(53, 312)(54, 303)(55, 236)(56, 256)(57, 313)(58, 245)(59, 238)(60, 254)(61, 247)(62, 248)(63, 241)(64, 240)(65, 308)(66, 318)(67, 302)(68, 306)(69, 316)(70, 304)(71, 244)(72, 317)(73, 309)(74, 314)(75, 300)(76, 307)(77, 311)(78, 250)(79, 260)(80, 253)(81, 305)(82, 315)(83, 259)(84, 261)(85, 263)(86, 274)(87, 271)(88, 287)(89, 264)(90, 276)(91, 299)(92, 273)(93, 266)(94, 275)(95, 269)(96, 293)(97, 281)(98, 323)(99, 272)(100, 324)(101, 322)(102, 279)(103, 288)(104, 290)(105, 285)(106, 319)(107, 320)(108, 321)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2380
Graph:: simple bipartite
	v = 117 e = 216 f = 45
	degree seq :: [ 2^108, 24^9 ]

E28.2384 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x ((C3 x C3) : C4) (small group id <108, 36>)
Aut   = (C3 x ((C3 x C3) : C4)) : C2 (small group id <216, 159>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (Y3^-1 * Y1)^2, Y3 * Y1^-3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2 * Y1 * Y2 * Y3^-1, Y1 * Y2^-1 * Y3 * Y2^2 * R * Y2 * R, Y2^2 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1^-1, Y3 * Y2^-5 * Y3 * Y2^-1, Y2^2 * Y3 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y1^-1, Y3 * Y2 * Y3 * Y2^-2 * Y3^-1 * Y2^-2, Y3 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2 * Y1^-1 * Y2^-1, Y2 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2 * Y1, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y3 * Y1^-1 * Y2^-1 * Y1^-2 * Y2^2 * Y3^-1 * Y2^2, Y2^2 * Y1 * Y2^-3 * Y3 * Y1^-1 * Y2 * Y1 ]
Map::
	R = (1, 109, 2, 110, 6, 114, 4, 112)(3, 111, 9, 117, 25, 133, 11, 119)(5, 113, 14, 122, 38, 146, 15, 123)(7, 115, 19, 127, 51, 159, 21, 129)(8, 116, 22, 130, 58, 166, 23, 131)(10, 118, 28, 136, 71, 179, 30, 138)(12, 120, 32, 140, 76, 184, 34, 142)(13, 121, 35, 143, 79, 187, 36, 144)(16, 124, 42, 150, 83, 191, 43, 151)(17, 125, 45, 153, 84, 192, 47, 155)(18, 126, 48, 156, 90, 198, 49, 157)(20, 128, 54, 162, 97, 205, 56, 164)(24, 132, 62, 170, 102, 210, 63, 171)(26, 134, 52, 160, 85, 193, 68, 176)(27, 135, 69, 177, 104, 212, 70, 178)(29, 137, 73, 181, 98, 206, 64, 172)(31, 139, 75, 183, 39, 147, 53, 161)(33, 141, 77, 185, 103, 211, 65, 173)(37, 145, 80, 188, 105, 213, 81, 189)(40, 148, 57, 165, 100, 208, 59, 167)(41, 149, 61, 169, 92, 200, 74, 182)(44, 152, 78, 186, 101, 209, 72, 180)(46, 154, 86, 194, 106, 214, 88, 196)(50, 158, 93, 201, 108, 216, 94, 202)(55, 163, 99, 207, 66, 174, 95, 203)(60, 168, 89, 197, 107, 215, 91, 199)(67, 175, 87, 195, 82, 190, 96, 204)(217, 325, 219, 327, 226, 334, 245, 353, 290, 398, 252, 360, 269, 377, 235, 343, 268, 376, 260, 368, 232, 340, 221, 329)(218, 326, 223, 331, 236, 344, 271, 379, 257, 365, 231, 339, 256, 364, 261, 369, 301, 409, 280, 388, 240, 348, 224, 332)(220, 328, 228, 336, 249, 357, 294, 402, 308, 416, 265, 373, 243, 351, 225, 333, 242, 350, 283, 391, 253, 361, 229, 337)(222, 330, 233, 341, 262, 370, 303, 411, 277, 385, 239, 347, 276, 384, 248, 356, 284, 392, 311, 419, 266, 374, 234, 342)(227, 335, 238, 346, 275, 383, 258, 366, 295, 403, 315, 423, 279, 387, 244, 352, 288, 396, 300, 408, 272, 380, 247, 355)(230, 338, 255, 363, 296, 404, 306, 414, 289, 397, 259, 367, 293, 401, 312, 420, 267, 375, 246, 354, 285, 393, 250, 358)(237, 345, 264, 372, 307, 415, 278, 386, 254, 362, 298, 406, 310, 418, 270, 378, 314, 422, 292, 400, 304, 412, 273, 381)(241, 349, 281, 389, 305, 413, 263, 371, 251, 359, 286, 394, 309, 417, 274, 382, 317, 425, 297, 405, 302, 410, 282, 390)(287, 395, 316, 424, 324, 432, 319, 427, 291, 399, 318, 426, 322, 430, 320, 428, 299, 407, 313, 421, 323, 431, 321, 429)
	L = (1, 220)(2, 217)(3, 227)(4, 222)(5, 231)(6, 218)(7, 237)(8, 239)(9, 219)(10, 246)(11, 241)(12, 250)(13, 252)(14, 221)(15, 254)(16, 259)(17, 263)(18, 265)(19, 223)(20, 272)(21, 267)(22, 224)(23, 274)(24, 279)(25, 225)(26, 284)(27, 286)(28, 226)(29, 280)(30, 287)(31, 269)(32, 228)(33, 281)(34, 292)(35, 229)(36, 295)(37, 297)(38, 230)(39, 291)(40, 275)(41, 290)(42, 232)(43, 299)(44, 288)(45, 233)(46, 304)(47, 300)(48, 234)(49, 306)(50, 310)(51, 235)(52, 242)(53, 255)(54, 236)(55, 311)(56, 313)(57, 256)(58, 238)(59, 316)(60, 307)(61, 257)(62, 240)(63, 318)(64, 314)(65, 319)(66, 315)(67, 312)(68, 301)(69, 243)(70, 320)(71, 244)(72, 317)(73, 245)(74, 308)(75, 247)(76, 248)(77, 249)(78, 260)(79, 251)(80, 253)(81, 321)(82, 303)(83, 258)(84, 261)(85, 268)(86, 262)(87, 283)(88, 322)(89, 276)(90, 264)(91, 323)(92, 277)(93, 266)(94, 324)(95, 282)(96, 298)(97, 270)(98, 289)(99, 271)(100, 273)(101, 294)(102, 278)(103, 293)(104, 285)(105, 296)(106, 302)(107, 305)(108, 309)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2385
Graph:: bipartite
	v = 36 e = 216 f = 126
	degree seq :: [ 8^27, 24^9 ]

E28.2385 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x ((C3 x C3) : C4) (small group id <108, 36>)
Aut   = (C3 x ((C3 x C3) : C4)) : C2 (small group id <216, 159>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y3^2 * Y1^-2 * Y3^2, (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y1^-2 * Y3 * Y1, Y1^6, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1, (Y3^-1 * Y1^-1)^4, Y1^-1 * Y3^2 * Y1^-1 * Y3^2 * Y1 * Y3^-2, (Y1 * Y3^2)^3, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 109, 2, 110, 6, 114, 18, 126, 13, 121, 4, 112)(3, 111, 9, 117, 19, 127, 45, 153, 32, 140, 11, 119)(5, 113, 15, 123, 20, 128, 47, 155, 35, 143, 16, 124)(7, 115, 21, 129, 43, 151, 34, 142, 12, 120, 23, 131)(8, 116, 24, 132, 44, 152, 36, 144, 14, 122, 25, 133)(10, 118, 29, 137, 46, 154, 42, 150, 17, 125, 30, 138)(22, 130, 50, 158, 37, 145, 58, 166, 26, 134, 51, 159)(27, 135, 59, 167, 81, 189, 57, 165, 31, 139, 55, 163)(28, 136, 61, 169, 82, 190, 68, 176, 33, 141, 62, 170)(38, 146, 73, 181, 83, 191, 77, 185, 40, 148, 75, 183)(39, 147, 52, 160, 84, 192, 48, 156, 41, 149, 70, 178)(49, 157, 86, 194, 71, 179, 89, 197, 53, 161, 87, 195)(54, 162, 91, 199, 72, 180, 95, 203, 56, 164, 93, 201)(60, 168, 78, 186, 69, 177, 76, 184, 63, 171, 74, 182)(64, 172, 101, 209, 79, 187, 100, 208, 66, 174, 98, 206)(65, 173, 102, 210, 80, 188, 104, 212, 67, 175, 103, 211)(85, 193, 96, 204, 90, 198, 94, 202, 88, 196, 92, 200)(97, 205, 108, 216, 105, 213, 107, 215, 99, 207, 106, 214)(217, 325)(218, 326)(219, 327)(220, 328)(221, 329)(222, 330)(223, 331)(224, 332)(225, 333)(226, 334)(227, 335)(228, 336)(229, 337)(230, 338)(231, 339)(232, 340)(233, 341)(234, 342)(235, 343)(236, 344)(237, 345)(238, 346)(239, 347)(240, 348)(241, 349)(242, 350)(243, 351)(244, 352)(245, 353)(246, 354)(247, 355)(248, 356)(249, 357)(250, 358)(251, 359)(252, 360)(253, 361)(254, 362)(255, 363)(256, 364)(257, 365)(258, 366)(259, 367)(260, 368)(261, 369)(262, 370)(263, 371)(264, 372)(265, 373)(266, 374)(267, 375)(268, 376)(269, 377)(270, 378)(271, 379)(272, 380)(273, 381)(274, 382)(275, 383)(276, 384)(277, 385)(278, 386)(279, 387)(280, 388)(281, 389)(282, 390)(283, 391)(284, 392)(285, 393)(286, 394)(287, 395)(288, 396)(289, 397)(290, 398)(291, 399)(292, 400)(293, 401)(294, 402)(295, 403)(296, 404)(297, 405)(298, 406)(299, 407)(300, 408)(301, 409)(302, 410)(303, 411)(304, 412)(305, 413)(306, 414)(307, 415)(308, 416)(309, 417)(310, 418)(311, 419)(312, 420)(313, 421)(314, 422)(315, 423)(316, 424)(317, 425)(318, 426)(319, 427)(320, 428)(321, 429)(322, 430)(323, 431)(324, 432)
	L = (1, 219)(2, 223)(3, 226)(4, 228)(5, 217)(6, 235)(7, 238)(8, 218)(9, 243)(10, 236)(11, 247)(12, 242)(13, 248)(14, 220)(15, 254)(16, 256)(17, 221)(18, 259)(19, 262)(20, 222)(21, 264)(22, 260)(23, 268)(24, 270)(25, 272)(26, 224)(27, 276)(28, 225)(29, 280)(30, 282)(31, 279)(32, 233)(33, 227)(34, 286)(35, 229)(36, 288)(37, 230)(38, 290)(39, 231)(40, 292)(41, 232)(42, 295)(43, 253)(44, 234)(45, 297)(46, 251)(47, 299)(48, 301)(49, 237)(50, 296)(51, 281)(52, 304)(53, 239)(54, 308)(55, 240)(56, 310)(57, 241)(58, 283)(59, 252)(60, 298)(61, 313)(62, 315)(63, 244)(64, 266)(65, 245)(66, 267)(67, 246)(68, 321)(69, 249)(70, 306)(71, 250)(72, 312)(73, 318)(74, 300)(75, 319)(76, 255)(77, 320)(78, 257)(79, 274)(80, 258)(81, 285)(82, 261)(83, 294)(84, 263)(85, 287)(86, 324)(87, 322)(88, 265)(89, 323)(90, 269)(91, 317)(92, 275)(93, 314)(94, 271)(95, 316)(96, 273)(97, 307)(98, 277)(99, 309)(100, 278)(101, 284)(102, 302)(103, 303)(104, 305)(105, 311)(106, 289)(107, 291)(108, 293)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.2384
Graph:: simple bipartite
	v = 126 e = 216 f = 36
	degree seq :: [ 2^108, 12^18 ]

E28.2386 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 12, 12})
Quotient :: edge
Aut^+ = ((C3 x C3) : C4) : C3 (small group id <108, 8>)
Aut   = (C2 x (((C3 x C3) : C3) : C2)) : C2 (small group id <216, 37>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2 * T1^-1 * T2 * T1 * T2^-2 * T1, T2^-1 * T1^-1 * T2^-1 * T1 * T2^2 * T1, T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2^12, (T2^-2 * T1 * T2^-1)^4 ]
Map:: non-degenerate
	R = (1, 3, 9, 25, 53, 72, 91, 79, 61, 41, 15, 5)(2, 6, 17, 44, 63, 81, 99, 85, 67, 49, 21, 7)(4, 11, 30, 52, 70, 88, 104, 92, 74, 56, 34, 12)(8, 22, 50, 68, 86, 102, 96, 78, 60, 40, 20, 23)(10, 27, 55, 71, 89, 105, 95, 77, 59, 39, 32, 28)(13, 35, 18, 26, 54, 73, 90, 106, 93, 75, 57, 36)(14, 37, 29, 24, 51, 69, 87, 103, 94, 76, 58, 38)(16, 42, 62, 80, 97, 107, 101, 84, 66, 48, 33, 43)(19, 46, 31, 45, 64, 82, 98, 108, 100, 83, 65, 47)(109, 110, 112)(111, 116, 118)(113, 121, 122)(114, 124, 126)(115, 127, 128)(117, 132, 134)(119, 137, 139)(120, 140, 141)(123, 147, 148)(125, 130, 153)(129, 144, 156)(131, 151, 145)(133, 160, 152)(135, 138, 150)(136, 143, 154)(142, 155, 146)(149, 164, 157)(158, 159, 170)(161, 179, 176)(162, 163, 172)(165, 167, 173)(166, 174, 168)(169, 184, 183)(171, 181, 188)(175, 186, 191)(177, 178, 190)(180, 198, 195)(182, 192, 185)(187, 204, 203)(189, 206, 194)(193, 209, 201)(196, 197, 205)(199, 207, 212)(200, 202, 208)(210, 215, 211)(213, 214, 216)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 24^3 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2388
Transitivity :: ET+
Graph:: simple bipartite
	v = 45 e = 108 f = 9
	degree seq :: [ 3^36, 12^9 ]

E28.2387 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 12, 12})
Quotient :: edge
Aut^+ = ((C3 x C3) : C4) : C3 (small group id <108, 8>)
Aut   = (C2 x (((C3 x C3) : C3) : C2)) : C2 (small group id <216, 37>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, T1 * T2^-2 * T1 * T2^-1 * T1^-1 * T2^-1, T2 * T1^-1 * T2^-5 * T1^-1, (T2 * T1^-1)^4, T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-3 * T1, T2 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2^2 * T1 * T2, (T2^-1 * T1^-1)^12 ]
Map:: non-degenerate
	R = (1, 3, 9, 25, 59, 31, 49, 19, 48, 41, 15, 5)(2, 6, 17, 45, 28, 10, 27, 32, 66, 52, 21, 7)(4, 11, 30, 65, 47, 18, 36, 13, 35, 69, 34, 12)(8, 22, 53, 90, 61, 26, 20, 50, 86, 93, 55, 23)(14, 37, 72, 102, 89, 63, 29, 39, 74, 103, 73, 38)(16, 42, 77, 105, 84, 46, 33, 67, 97, 106, 79, 43)(24, 56, 85, 101, 96, 60, 54, 92, 68, 99, 94, 57)(40, 58, 95, 81, 44, 80, 71, 76, 104, 83, 78, 75)(51, 82, 107, 98, 64, 91, 62, 88, 108, 100, 70, 87)(109, 110, 112)(111, 116, 118)(113, 121, 122)(114, 124, 126)(115, 127, 128)(117, 132, 134)(119, 137, 139)(120, 140, 141)(123, 147, 148)(125, 152, 154)(129, 130, 159)(131, 156, 162)(133, 166, 168)(135, 144, 157)(136, 158, 170)(138, 172, 146)(142, 150, 176)(143, 178, 171)(145, 179, 167)(149, 184, 165)(151, 174, 186)(153, 190, 191)(155, 175, 193)(160, 196, 189)(161, 197, 199)(163, 164, 185)(169, 200, 205)(173, 207, 208)(177, 209, 206)(180, 192, 183)(181, 195, 194)(182, 187, 188)(198, 213, 211)(201, 214, 210)(202, 203, 215)(204, 212, 216)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 24^3 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2389
Transitivity :: ET+
Graph:: simple bipartite
	v = 45 e = 108 f = 9
	degree seq :: [ 3^36, 12^9 ]

E28.2388 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 12, 12})
Quotient :: loop
Aut^+ = ((C3 x C3) : C4) : C3 (small group id <108, 8>)
Aut   = (C2 x (((C3 x C3) : C3) : C2)) : C2 (small group id <216, 37>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2 * T1^-1 * T2 * T1 * T2^-2 * T1, T2^-1 * T1^-1 * T2^-1 * T1 * T2^2 * T1, T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2^12, (T2^-2 * T1 * T2^-1)^4 ]
Map:: non-degenerate
	R = (1, 109, 3, 111, 9, 117, 25, 133, 53, 161, 72, 180, 91, 199, 79, 187, 61, 169, 41, 149, 15, 123, 5, 113)(2, 110, 6, 114, 17, 125, 44, 152, 63, 171, 81, 189, 99, 207, 85, 193, 67, 175, 49, 157, 21, 129, 7, 115)(4, 112, 11, 119, 30, 138, 52, 160, 70, 178, 88, 196, 104, 212, 92, 200, 74, 182, 56, 164, 34, 142, 12, 120)(8, 116, 22, 130, 50, 158, 68, 176, 86, 194, 102, 210, 96, 204, 78, 186, 60, 168, 40, 148, 20, 128, 23, 131)(10, 118, 27, 135, 55, 163, 71, 179, 89, 197, 105, 213, 95, 203, 77, 185, 59, 167, 39, 147, 32, 140, 28, 136)(13, 121, 35, 143, 18, 126, 26, 134, 54, 162, 73, 181, 90, 198, 106, 214, 93, 201, 75, 183, 57, 165, 36, 144)(14, 122, 37, 145, 29, 137, 24, 132, 51, 159, 69, 177, 87, 195, 103, 211, 94, 202, 76, 184, 58, 166, 38, 146)(16, 124, 42, 150, 62, 170, 80, 188, 97, 205, 107, 215, 101, 209, 84, 192, 66, 174, 48, 156, 33, 141, 43, 151)(19, 127, 46, 154, 31, 139, 45, 153, 64, 172, 82, 190, 98, 206, 108, 216, 100, 208, 83, 191, 65, 173, 47, 155)
	L = (1, 110)(2, 112)(3, 116)(4, 109)(5, 121)(6, 124)(7, 127)(8, 118)(9, 132)(10, 111)(11, 137)(12, 140)(13, 122)(14, 113)(15, 147)(16, 126)(17, 130)(18, 114)(19, 128)(20, 115)(21, 144)(22, 153)(23, 151)(24, 134)(25, 160)(26, 117)(27, 138)(28, 143)(29, 139)(30, 150)(31, 119)(32, 141)(33, 120)(34, 155)(35, 154)(36, 156)(37, 131)(38, 142)(39, 148)(40, 123)(41, 164)(42, 135)(43, 145)(44, 133)(45, 125)(46, 136)(47, 146)(48, 129)(49, 149)(50, 159)(51, 170)(52, 152)(53, 179)(54, 163)(55, 172)(56, 157)(57, 167)(58, 174)(59, 173)(60, 166)(61, 184)(62, 158)(63, 181)(64, 162)(65, 165)(66, 168)(67, 186)(68, 161)(69, 178)(70, 190)(71, 176)(72, 198)(73, 188)(74, 192)(75, 169)(76, 183)(77, 182)(78, 191)(79, 204)(80, 171)(81, 206)(82, 177)(83, 175)(84, 185)(85, 209)(86, 189)(87, 180)(88, 197)(89, 205)(90, 195)(91, 207)(92, 202)(93, 193)(94, 208)(95, 187)(96, 203)(97, 196)(98, 194)(99, 212)(100, 200)(101, 201)(102, 215)(103, 210)(104, 199)(105, 214)(106, 216)(107, 211)(108, 213)
	local type(s) :: { ( 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2386
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 108 f = 45
	degree seq :: [ 24^9 ]

E28.2389 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 12, 12})
Quotient :: loop
Aut^+ = ((C3 x C3) : C4) : C3 (small group id <108, 8>)
Aut   = (C2 x (((C3 x C3) : C3) : C2)) : C2 (small group id <216, 37>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, T1 * T2^-2 * T1 * T2^-1 * T1^-1 * T2^-1, T2 * T1^-1 * T2^-5 * T1^-1, (T2 * T1^-1)^4, T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-3 * T1, T2 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2^2 * T1 * T2, (T2^-1 * T1^-1)^12 ]
Map:: non-degenerate
	R = (1, 109, 3, 111, 9, 117, 25, 133, 59, 167, 31, 139, 49, 157, 19, 127, 48, 156, 41, 149, 15, 123, 5, 113)(2, 110, 6, 114, 17, 125, 45, 153, 28, 136, 10, 118, 27, 135, 32, 140, 66, 174, 52, 160, 21, 129, 7, 115)(4, 112, 11, 119, 30, 138, 65, 173, 47, 155, 18, 126, 36, 144, 13, 121, 35, 143, 69, 177, 34, 142, 12, 120)(8, 116, 22, 130, 53, 161, 90, 198, 61, 169, 26, 134, 20, 128, 50, 158, 86, 194, 93, 201, 55, 163, 23, 131)(14, 122, 37, 145, 72, 180, 102, 210, 89, 197, 63, 171, 29, 137, 39, 147, 74, 182, 103, 211, 73, 181, 38, 146)(16, 124, 42, 150, 77, 185, 105, 213, 84, 192, 46, 154, 33, 141, 67, 175, 97, 205, 106, 214, 79, 187, 43, 151)(24, 132, 56, 164, 85, 193, 101, 209, 96, 204, 60, 168, 54, 162, 92, 200, 68, 176, 99, 207, 94, 202, 57, 165)(40, 148, 58, 166, 95, 203, 81, 189, 44, 152, 80, 188, 71, 179, 76, 184, 104, 212, 83, 191, 78, 186, 75, 183)(51, 159, 82, 190, 107, 215, 98, 206, 64, 172, 91, 199, 62, 170, 88, 196, 108, 216, 100, 208, 70, 178, 87, 195)
	L = (1, 110)(2, 112)(3, 116)(4, 109)(5, 121)(6, 124)(7, 127)(8, 118)(9, 132)(10, 111)(11, 137)(12, 140)(13, 122)(14, 113)(15, 147)(16, 126)(17, 152)(18, 114)(19, 128)(20, 115)(21, 130)(22, 159)(23, 156)(24, 134)(25, 166)(26, 117)(27, 144)(28, 158)(29, 139)(30, 172)(31, 119)(32, 141)(33, 120)(34, 150)(35, 178)(36, 157)(37, 179)(38, 138)(39, 148)(40, 123)(41, 184)(42, 176)(43, 174)(44, 154)(45, 190)(46, 125)(47, 175)(48, 162)(49, 135)(50, 170)(51, 129)(52, 196)(53, 197)(54, 131)(55, 164)(56, 185)(57, 149)(58, 168)(59, 145)(60, 133)(61, 200)(62, 136)(63, 143)(64, 146)(65, 207)(66, 186)(67, 193)(68, 142)(69, 209)(70, 171)(71, 167)(72, 192)(73, 195)(74, 187)(75, 180)(76, 165)(77, 163)(78, 151)(79, 188)(80, 182)(81, 160)(82, 191)(83, 153)(84, 183)(85, 155)(86, 181)(87, 194)(88, 189)(89, 199)(90, 213)(91, 161)(92, 205)(93, 214)(94, 203)(95, 215)(96, 212)(97, 169)(98, 177)(99, 208)(100, 173)(101, 206)(102, 201)(103, 198)(104, 216)(105, 211)(106, 210)(107, 202)(108, 204)
	local type(s) :: { ( 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2387
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 108 f = 45
	degree seq :: [ 24^9 ]

E28.2390 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C4) : C3 (small group id <108, 8>)
Aut   = (C2 x (((C3 x C3) : C3) : C2)) : C2 (small group id <216, 37>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y3^-2 * Y1, (R * Y3)^2, (R * Y1)^2, Y2 * Y3 * Y1 * Y2^-1 * Y1^-1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2, Y1 * Y2^-1 * Y3 * Y2^2 * Y1^-1 * Y2^-1, Y1 * Y2 * Y3 * Y2^-2 * Y1^-1 * Y2, Y3 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^2, Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y2^12, (Y2^-1 * Y1)^12 ]
Map::
	R = (1, 109, 2, 110, 4, 112)(3, 111, 8, 116, 10, 118)(5, 113, 13, 121, 14, 122)(6, 114, 16, 124, 18, 126)(7, 115, 19, 127, 20, 128)(9, 117, 24, 132, 26, 134)(11, 119, 29, 137, 31, 139)(12, 120, 32, 140, 33, 141)(15, 123, 39, 147, 40, 148)(17, 125, 22, 130, 45, 153)(21, 129, 36, 144, 48, 156)(23, 131, 43, 151, 37, 145)(25, 133, 52, 160, 44, 152)(27, 135, 30, 138, 42, 150)(28, 136, 35, 143, 46, 154)(34, 142, 47, 155, 38, 146)(41, 149, 56, 164, 49, 157)(50, 158, 51, 159, 62, 170)(53, 161, 71, 179, 68, 176)(54, 162, 55, 163, 64, 172)(57, 165, 59, 167, 65, 173)(58, 166, 66, 174, 60, 168)(61, 169, 76, 184, 75, 183)(63, 171, 73, 181, 80, 188)(67, 175, 78, 186, 83, 191)(69, 177, 70, 178, 82, 190)(72, 180, 90, 198, 87, 195)(74, 182, 84, 192, 77, 185)(79, 187, 96, 204, 95, 203)(81, 189, 98, 206, 86, 194)(85, 193, 101, 209, 93, 201)(88, 196, 89, 197, 97, 205)(91, 199, 99, 207, 104, 212)(92, 200, 94, 202, 100, 208)(102, 210, 107, 215, 103, 211)(105, 213, 106, 214, 108, 216)(217, 325, 219, 327, 225, 333, 241, 349, 269, 377, 288, 396, 307, 415, 295, 403, 277, 385, 257, 365, 231, 339, 221, 329)(218, 326, 222, 330, 233, 341, 260, 368, 279, 387, 297, 405, 315, 423, 301, 409, 283, 391, 265, 373, 237, 345, 223, 331)(220, 328, 227, 335, 246, 354, 268, 376, 286, 394, 304, 412, 320, 428, 308, 416, 290, 398, 272, 380, 250, 358, 228, 336)(224, 332, 238, 346, 266, 374, 284, 392, 302, 410, 318, 426, 312, 420, 294, 402, 276, 384, 256, 364, 236, 344, 239, 347)(226, 334, 243, 351, 271, 379, 287, 395, 305, 413, 321, 429, 311, 419, 293, 401, 275, 383, 255, 363, 248, 356, 244, 352)(229, 337, 251, 359, 234, 342, 242, 350, 270, 378, 289, 397, 306, 414, 322, 430, 309, 417, 291, 399, 273, 381, 252, 360)(230, 338, 253, 361, 245, 353, 240, 348, 267, 375, 285, 393, 303, 411, 319, 427, 310, 418, 292, 400, 274, 382, 254, 362)(232, 340, 258, 366, 278, 386, 296, 404, 313, 421, 323, 431, 317, 425, 300, 408, 282, 390, 264, 372, 249, 357, 259, 367)(235, 343, 262, 370, 247, 355, 261, 369, 280, 388, 298, 406, 314, 422, 324, 432, 316, 424, 299, 407, 281, 389, 263, 371)
	L = (1, 220)(2, 217)(3, 226)(4, 218)(5, 230)(6, 234)(7, 236)(8, 219)(9, 242)(10, 224)(11, 247)(12, 249)(13, 221)(14, 229)(15, 256)(16, 222)(17, 261)(18, 232)(19, 223)(20, 235)(21, 264)(22, 233)(23, 253)(24, 225)(25, 260)(26, 240)(27, 258)(28, 262)(29, 227)(30, 243)(31, 245)(32, 228)(33, 248)(34, 254)(35, 244)(36, 237)(37, 259)(38, 263)(39, 231)(40, 255)(41, 265)(42, 246)(43, 239)(44, 268)(45, 238)(46, 251)(47, 250)(48, 252)(49, 272)(50, 278)(51, 266)(52, 241)(53, 284)(54, 280)(55, 270)(56, 257)(57, 281)(58, 276)(59, 273)(60, 282)(61, 291)(62, 267)(63, 296)(64, 271)(65, 275)(66, 274)(67, 299)(68, 287)(69, 298)(70, 285)(71, 269)(72, 303)(73, 279)(74, 293)(75, 292)(76, 277)(77, 300)(78, 283)(79, 311)(80, 289)(81, 302)(82, 286)(83, 294)(84, 290)(85, 309)(86, 314)(87, 306)(88, 313)(89, 304)(90, 288)(91, 320)(92, 316)(93, 317)(94, 308)(95, 312)(96, 295)(97, 305)(98, 297)(99, 307)(100, 310)(101, 301)(102, 319)(103, 323)(104, 315)(105, 324)(106, 321)(107, 318)(108, 322)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.2392
Graph:: bipartite
	v = 45 e = 216 f = 117
	degree seq :: [ 6^36, 24^9 ]

E28.2391 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C4) : C3 (small group id <108, 8>)
Aut   = (C2 x (((C3 x C3) : C3) : C2)) : C2 (small group id <216, 37>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y3 * Y1^-2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3 * Y2^-1 * Y1 * Y2^-2 * Y3^-1, Y2 * Y3 * Y2^2 * Y1^-1 * Y2 * Y1, Y2 * Y1 * Y2 * Y1^-1 * Y2^2 * Y1^-1, Y2 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1, Y2 * Y1^-1 * Y2^-5 * Y1^-1, Y2 * Y1 * Y2^2 * Y3 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2, Y2 * Y1 * Y2^-2 * Y3 * Y2^-2 * Y1^-1 * Y2^-1 * Y1^-1, R * Y2^-2 * Y1^-1 * Y2 * R * Y2^3 * Y1, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 109, 2, 110, 4, 112)(3, 111, 8, 116, 10, 118)(5, 113, 13, 121, 14, 122)(6, 114, 16, 124, 18, 126)(7, 115, 19, 127, 20, 128)(9, 117, 24, 132, 26, 134)(11, 119, 29, 137, 31, 139)(12, 120, 32, 140, 33, 141)(15, 123, 39, 147, 40, 148)(17, 125, 44, 152, 46, 154)(21, 129, 22, 130, 51, 159)(23, 131, 48, 156, 54, 162)(25, 133, 58, 166, 60, 168)(27, 135, 36, 144, 49, 157)(28, 136, 50, 158, 62, 170)(30, 138, 64, 172, 38, 146)(34, 142, 42, 150, 68, 176)(35, 143, 70, 178, 63, 171)(37, 145, 71, 179, 59, 167)(41, 149, 76, 184, 57, 165)(43, 151, 66, 174, 78, 186)(45, 153, 82, 190, 83, 191)(47, 155, 67, 175, 85, 193)(52, 160, 88, 196, 81, 189)(53, 161, 89, 197, 91, 199)(55, 163, 56, 164, 77, 185)(61, 169, 92, 200, 97, 205)(65, 173, 99, 207, 100, 208)(69, 177, 101, 209, 98, 206)(72, 180, 84, 192, 75, 183)(73, 181, 87, 195, 86, 194)(74, 182, 79, 187, 80, 188)(90, 198, 105, 213, 103, 211)(93, 201, 106, 214, 102, 210)(94, 202, 95, 203, 107, 215)(96, 204, 104, 212, 108, 216)(217, 325, 219, 327, 225, 333, 241, 349, 275, 383, 247, 355, 265, 373, 235, 343, 264, 372, 257, 365, 231, 339, 221, 329)(218, 326, 222, 330, 233, 341, 261, 369, 244, 352, 226, 334, 243, 351, 248, 356, 282, 390, 268, 376, 237, 345, 223, 331)(220, 328, 227, 335, 246, 354, 281, 389, 263, 371, 234, 342, 252, 360, 229, 337, 251, 359, 285, 393, 250, 358, 228, 336)(224, 332, 238, 346, 269, 377, 306, 414, 277, 385, 242, 350, 236, 344, 266, 374, 302, 410, 309, 417, 271, 379, 239, 347)(230, 338, 253, 361, 288, 396, 318, 426, 305, 413, 279, 387, 245, 353, 255, 363, 290, 398, 319, 427, 289, 397, 254, 362)(232, 340, 258, 366, 293, 401, 321, 429, 300, 408, 262, 370, 249, 357, 283, 391, 313, 421, 322, 430, 295, 403, 259, 367)(240, 348, 272, 380, 301, 409, 317, 425, 312, 420, 276, 384, 270, 378, 308, 416, 284, 392, 315, 423, 310, 418, 273, 381)(256, 364, 274, 382, 311, 419, 297, 405, 260, 368, 296, 404, 287, 395, 292, 400, 320, 428, 299, 407, 294, 402, 291, 399)(267, 375, 298, 406, 323, 431, 314, 422, 280, 388, 307, 415, 278, 386, 304, 412, 324, 432, 316, 424, 286, 394, 303, 411)
	L = (1, 220)(2, 217)(3, 226)(4, 218)(5, 230)(6, 234)(7, 236)(8, 219)(9, 242)(10, 224)(11, 247)(12, 249)(13, 221)(14, 229)(15, 256)(16, 222)(17, 262)(18, 232)(19, 223)(20, 235)(21, 267)(22, 237)(23, 270)(24, 225)(25, 276)(26, 240)(27, 265)(28, 278)(29, 227)(30, 254)(31, 245)(32, 228)(33, 248)(34, 284)(35, 279)(36, 243)(37, 275)(38, 280)(39, 231)(40, 255)(41, 273)(42, 250)(43, 294)(44, 233)(45, 299)(46, 260)(47, 301)(48, 239)(49, 252)(50, 244)(51, 238)(52, 297)(53, 307)(54, 264)(55, 293)(56, 271)(57, 292)(58, 241)(59, 287)(60, 274)(61, 313)(62, 266)(63, 286)(64, 246)(65, 316)(66, 259)(67, 263)(68, 258)(69, 314)(70, 251)(71, 253)(72, 291)(73, 302)(74, 296)(75, 300)(76, 257)(77, 272)(78, 282)(79, 290)(80, 295)(81, 304)(82, 261)(83, 298)(84, 288)(85, 283)(86, 303)(87, 289)(88, 268)(89, 269)(90, 319)(91, 305)(92, 277)(93, 318)(94, 323)(95, 310)(96, 324)(97, 308)(98, 317)(99, 281)(100, 315)(101, 285)(102, 322)(103, 321)(104, 312)(105, 306)(106, 309)(107, 311)(108, 320)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.2393
Graph:: bipartite
	v = 45 e = 216 f = 117
	degree seq :: [ 6^36, 24^9 ]

E28.2392 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C4) : C3 (small group id <108, 8>)
Aut   = (C2 x (((C3 x C3) : C3) : C2)) : C2 (small group id <216, 37>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y1 * Y3^-1 * Y1 * Y3 * Y1^-2 * Y3, Y1^2 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y1^12, (Y1^-2 * Y3 * Y1^-1)^4 ]
Map::
	R = (1, 109, 2, 110, 6, 114, 16, 124, 42, 150, 62, 170, 80, 188, 78, 186, 59, 167, 32, 140, 12, 120, 4, 112)(3, 111, 9, 117, 23, 131, 44, 152, 66, 174, 87, 195, 97, 205, 90, 198, 72, 180, 54, 162, 27, 135, 10, 118)(5, 113, 14, 122, 36, 144, 43, 151, 65, 173, 85, 193, 98, 206, 94, 202, 76, 184, 58, 166, 40, 148, 15, 123)(7, 115, 19, 127, 47, 155, 64, 172, 84, 192, 103, 211, 96, 204, 79, 187, 60, 168, 33, 141, 28, 136, 20, 128)(8, 116, 21, 129, 50, 158, 63, 171, 83, 191, 101, 209, 93, 201, 75, 183, 57, 165, 31, 139, 39, 147, 22, 130)(11, 119, 29, 137, 25, 133, 18, 126, 46, 154, 69, 177, 81, 189, 99, 207, 92, 200, 74, 182, 56, 164, 30, 138)(13, 121, 34, 142, 37, 145, 17, 125, 45, 153, 67, 175, 82, 190, 100, 208, 95, 203, 77, 185, 61, 169, 35, 143)(24, 132, 51, 159, 68, 176, 88, 196, 102, 210, 108, 216, 106, 214, 91, 199, 73, 181, 55, 163, 41, 149, 49, 157)(26, 134, 52, 160, 38, 146, 48, 156, 70, 178, 86, 194, 104, 212, 107, 215, 105, 213, 89, 197, 71, 179, 53, 161)(217, 325)(218, 326)(219, 327)(220, 328)(221, 329)(222, 330)(223, 331)(224, 332)(225, 333)(226, 334)(227, 335)(228, 336)(229, 337)(230, 338)(231, 339)(232, 340)(233, 341)(234, 342)(235, 343)(236, 344)(237, 345)(238, 346)(239, 347)(240, 348)(241, 349)(242, 350)(243, 351)(244, 352)(245, 353)(246, 354)(247, 355)(248, 356)(249, 357)(250, 358)(251, 359)(252, 360)(253, 361)(254, 362)(255, 363)(256, 364)(257, 365)(258, 366)(259, 367)(260, 368)(261, 369)(262, 370)(263, 371)(264, 372)(265, 373)(266, 374)(267, 375)(268, 376)(269, 377)(270, 378)(271, 379)(272, 380)(273, 381)(274, 382)(275, 383)(276, 384)(277, 385)(278, 386)(279, 387)(280, 388)(281, 389)(282, 390)(283, 391)(284, 392)(285, 393)(286, 394)(287, 395)(288, 396)(289, 397)(290, 398)(291, 399)(292, 400)(293, 401)(294, 402)(295, 403)(296, 404)(297, 405)(298, 406)(299, 407)(300, 408)(301, 409)(302, 410)(303, 411)(304, 412)(305, 413)(306, 414)(307, 415)(308, 416)(309, 417)(310, 418)(311, 419)(312, 420)(313, 421)(314, 422)(315, 423)(316, 424)(317, 425)(318, 426)(319, 427)(320, 428)(321, 429)(322, 430)(323, 431)(324, 432)
	L = (1, 219)(2, 223)(3, 221)(4, 227)(5, 217)(6, 233)(7, 224)(8, 218)(9, 240)(10, 242)(11, 229)(12, 247)(13, 220)(14, 253)(15, 255)(16, 259)(17, 234)(18, 222)(19, 264)(20, 265)(21, 252)(22, 245)(23, 235)(24, 241)(25, 225)(26, 244)(27, 246)(28, 226)(29, 268)(30, 271)(31, 249)(32, 274)(33, 228)(34, 236)(35, 256)(36, 267)(37, 254)(38, 230)(39, 257)(40, 269)(41, 231)(42, 279)(43, 260)(44, 232)(45, 284)(46, 266)(47, 261)(48, 239)(49, 250)(50, 286)(51, 237)(52, 238)(53, 251)(54, 248)(55, 243)(56, 273)(57, 287)(58, 270)(59, 293)(60, 277)(61, 289)(62, 297)(63, 280)(64, 258)(65, 302)(66, 285)(67, 281)(68, 263)(69, 304)(70, 262)(71, 272)(72, 295)(73, 276)(74, 275)(75, 292)(76, 307)(77, 290)(78, 312)(79, 305)(80, 313)(81, 298)(82, 278)(83, 318)(84, 303)(85, 299)(86, 283)(87, 320)(88, 282)(89, 288)(90, 322)(91, 291)(92, 306)(93, 294)(94, 311)(95, 321)(96, 309)(97, 314)(98, 296)(99, 323)(100, 319)(101, 315)(102, 301)(103, 324)(104, 300)(105, 310)(106, 308)(107, 317)(108, 316)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.2390
Graph:: simple bipartite
	v = 117 e = 216 f = 45
	degree seq :: [ 2^108, 24^9 ]

E28.2393 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C4) : C3 (small group id <108, 8>)
Aut   = (C2 x (((C3 x C3) : C3) : C2)) : C2 (small group id <216, 37>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y1^-2 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3, (Y3 * Y1^-1)^4, Y1^2 * Y3 * Y1^-1 * Y3 * Y1^3, Y3 * Y1 * Y3 * Y1^2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-2, Y1^2 * Y3 * Y1^3 * Y3^-1 * Y1^-2 * Y3^-1 * Y1, (Y3^-1 * Y1^-1)^12 ]
Map::
	R = (1, 109, 2, 110, 6, 114, 16, 124, 42, 150, 38, 146, 53, 161, 26, 134, 50, 158, 32, 140, 12, 120, 4, 112)(3, 111, 9, 117, 23, 131, 55, 163, 22, 130, 8, 116, 21, 129, 39, 147, 74, 182, 62, 170, 27, 135, 10, 118)(5, 113, 14, 122, 36, 144, 73, 181, 61, 169, 25, 133, 30, 138, 11, 119, 29, 137, 63, 171, 40, 148, 15, 123)(7, 115, 19, 127, 48, 156, 83, 191, 47, 155, 18, 126, 28, 136, 54, 162, 90, 198, 89, 197, 51, 159, 20, 128)(13, 121, 34, 142, 69, 177, 103, 211, 85, 193, 65, 173, 37, 145, 31, 139, 66, 174, 101, 209, 71, 179, 35, 143)(17, 125, 45, 153, 79, 187, 98, 206, 78, 186, 44, 152, 52, 160, 82, 190, 75, 183, 104, 212, 81, 189, 46, 154)(24, 132, 59, 167, 80, 188, 107, 215, 95, 203, 58, 166, 41, 149, 76, 184, 84, 192, 108, 216, 96, 204, 60, 168)(33, 141, 43, 151, 77, 185, 94, 202, 57, 165, 93, 201, 70, 178, 67, 175, 102, 210, 91, 199, 97, 205, 68, 176)(49, 157, 87, 195, 105, 213, 99, 207, 72, 180, 86, 194, 56, 164, 92, 200, 106, 214, 100, 208, 64, 172, 88, 196)(217, 325)(218, 326)(219, 327)(220, 328)(221, 329)(222, 330)(223, 331)(224, 332)(225, 333)(226, 334)(227, 335)(228, 336)(229, 337)(230, 338)(231, 339)(232, 340)(233, 341)(234, 342)(235, 343)(236, 344)(237, 345)(238, 346)(239, 347)(240, 348)(241, 349)(242, 350)(243, 351)(244, 352)(245, 353)(246, 354)(247, 355)(248, 356)(249, 357)(250, 358)(251, 359)(252, 360)(253, 361)(254, 362)(255, 363)(256, 364)(257, 365)(258, 366)(259, 367)(260, 368)(261, 369)(262, 370)(263, 371)(264, 372)(265, 373)(266, 374)(267, 375)(268, 376)(269, 377)(270, 378)(271, 379)(272, 380)(273, 381)(274, 382)(275, 383)(276, 384)(277, 385)(278, 386)(279, 387)(280, 388)(281, 389)(282, 390)(283, 391)(284, 392)(285, 393)(286, 394)(287, 395)(288, 396)(289, 397)(290, 398)(291, 399)(292, 400)(293, 401)(294, 402)(295, 403)(296, 404)(297, 405)(298, 406)(299, 407)(300, 408)(301, 409)(302, 410)(303, 411)(304, 412)(305, 413)(306, 414)(307, 415)(308, 416)(309, 417)(310, 418)(311, 419)(312, 420)(313, 421)(314, 422)(315, 423)(316, 424)(317, 425)(318, 426)(319, 427)(320, 428)(321, 429)(322, 430)(323, 431)(324, 432)
	L = (1, 219)(2, 223)(3, 221)(4, 227)(5, 217)(6, 233)(7, 224)(8, 218)(9, 240)(10, 242)(11, 229)(12, 247)(13, 220)(14, 253)(15, 255)(16, 259)(17, 234)(18, 222)(19, 265)(20, 266)(21, 246)(22, 270)(23, 273)(24, 241)(25, 225)(26, 244)(27, 235)(28, 226)(29, 280)(30, 269)(31, 249)(32, 283)(33, 228)(34, 286)(35, 252)(36, 288)(37, 254)(38, 230)(39, 257)(40, 275)(41, 231)(42, 250)(43, 260)(44, 232)(45, 296)(46, 248)(47, 298)(48, 301)(49, 243)(50, 268)(51, 261)(52, 236)(53, 237)(54, 272)(55, 303)(56, 238)(57, 274)(58, 239)(59, 291)(60, 290)(61, 292)(62, 308)(63, 314)(64, 281)(65, 245)(66, 312)(67, 262)(68, 285)(69, 311)(70, 258)(71, 304)(72, 251)(73, 320)(74, 313)(75, 256)(76, 295)(77, 321)(78, 318)(79, 277)(80, 267)(81, 293)(82, 300)(83, 323)(84, 263)(85, 302)(86, 264)(87, 307)(88, 306)(89, 324)(90, 287)(91, 271)(92, 310)(93, 282)(94, 278)(95, 284)(96, 309)(97, 276)(98, 315)(99, 279)(100, 289)(101, 299)(102, 322)(103, 305)(104, 316)(105, 297)(106, 294)(107, 317)(108, 319)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.2391
Graph:: simple bipartite
	v = 117 e = 216 f = 45
	degree seq :: [ 2^108, 24^9 ]

E28.2394 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 12, 12})
Quotient :: edge
Aut^+ = C4 x ((C3 x C3) : C3) (small group id <108, 13>)
Aut   = (C4 x ((C3 x C3) : C3)) : C2 (small group id <216, 68>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2 * T1 * T2 * T1 * T2^-2 * T1, T2^-1 * T1 * T2^2 * T1 * T2^-1 * T1, T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2 * T1^-1, T2^12, (T2^-1 * T1^-1 * T2^-3)^3 ]
Map:: non-degenerate
	R = (1, 3, 9, 25, 52, 70, 88, 79, 61, 41, 15, 5)(2, 6, 17, 42, 62, 80, 97, 85, 67, 49, 21, 7)(4, 11, 30, 53, 72, 91, 104, 92, 74, 56, 34, 12)(8, 22, 50, 68, 86, 102, 95, 77, 59, 39, 33, 23)(10, 27, 55, 71, 90, 106, 96, 78, 60, 40, 19, 28)(13, 35, 31, 24, 51, 69, 87, 103, 93, 75, 57, 36)(14, 37, 16, 26, 54, 73, 89, 105, 94, 76, 58, 38)(18, 44, 64, 81, 99, 108, 101, 84, 66, 48, 32, 45)(20, 46, 29, 43, 63, 82, 98, 107, 100, 83, 65, 47)(109, 110, 112)(111, 116, 118)(113, 121, 122)(114, 124, 126)(115, 127, 128)(117, 132, 134)(119, 137, 139)(120, 140, 141)(123, 147, 148)(125, 135, 151)(129, 146, 156)(130, 138, 152)(131, 145, 154)(133, 150, 161)(136, 153, 143)(142, 155, 144)(149, 157, 164)(158, 162, 171)(159, 163, 172)(160, 176, 179)(165, 168, 174)(166, 173, 167)(169, 183, 184)(170, 181, 189)(175, 186, 191)(177, 180, 190)(178, 195, 197)(182, 192, 185)(187, 203, 204)(188, 198, 206)(193, 202, 209)(194, 199, 207)(196, 205, 212)(200, 208, 201)(210, 213, 215)(211, 214, 216)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 24^3 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2395
Transitivity :: ET+
Graph:: simple bipartite
	v = 45 e = 108 f = 9
	degree seq :: [ 3^36, 12^9 ]

E28.2395 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 12, 12})
Quotient :: loop
Aut^+ = C4 x ((C3 x C3) : C3) (small group id <108, 13>)
Aut   = (C4 x ((C3 x C3) : C3)) : C2 (small group id <216, 68>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2 * T1 * T2 * T1 * T2^-2 * T1, T2^-1 * T1 * T2^2 * T1 * T2^-1 * T1, T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2 * T1^-1, T2^12, (T2^-1 * T1^-1 * T2^-3)^3 ]
Map:: non-degenerate
	R = (1, 109, 3, 111, 9, 117, 25, 133, 52, 160, 70, 178, 88, 196, 79, 187, 61, 169, 41, 149, 15, 123, 5, 113)(2, 110, 6, 114, 17, 125, 42, 150, 62, 170, 80, 188, 97, 205, 85, 193, 67, 175, 49, 157, 21, 129, 7, 115)(4, 112, 11, 119, 30, 138, 53, 161, 72, 180, 91, 199, 104, 212, 92, 200, 74, 182, 56, 164, 34, 142, 12, 120)(8, 116, 22, 130, 50, 158, 68, 176, 86, 194, 102, 210, 95, 203, 77, 185, 59, 167, 39, 147, 33, 141, 23, 131)(10, 118, 27, 135, 55, 163, 71, 179, 90, 198, 106, 214, 96, 204, 78, 186, 60, 168, 40, 148, 19, 127, 28, 136)(13, 121, 35, 143, 31, 139, 24, 132, 51, 159, 69, 177, 87, 195, 103, 211, 93, 201, 75, 183, 57, 165, 36, 144)(14, 122, 37, 145, 16, 124, 26, 134, 54, 162, 73, 181, 89, 197, 105, 213, 94, 202, 76, 184, 58, 166, 38, 146)(18, 126, 44, 152, 64, 172, 81, 189, 99, 207, 108, 216, 101, 209, 84, 192, 66, 174, 48, 156, 32, 140, 45, 153)(20, 128, 46, 154, 29, 137, 43, 151, 63, 171, 82, 190, 98, 206, 107, 215, 100, 208, 83, 191, 65, 173, 47, 155)
	L = (1, 110)(2, 112)(3, 116)(4, 109)(5, 121)(6, 124)(7, 127)(8, 118)(9, 132)(10, 111)(11, 137)(12, 140)(13, 122)(14, 113)(15, 147)(16, 126)(17, 135)(18, 114)(19, 128)(20, 115)(21, 146)(22, 138)(23, 145)(24, 134)(25, 150)(26, 117)(27, 151)(28, 153)(29, 139)(30, 152)(31, 119)(32, 141)(33, 120)(34, 155)(35, 136)(36, 142)(37, 154)(38, 156)(39, 148)(40, 123)(41, 157)(42, 161)(43, 125)(44, 130)(45, 143)(46, 131)(47, 144)(48, 129)(49, 164)(50, 162)(51, 163)(52, 176)(53, 133)(54, 171)(55, 172)(56, 149)(57, 168)(58, 173)(59, 166)(60, 174)(61, 183)(62, 181)(63, 158)(64, 159)(65, 167)(66, 165)(67, 186)(68, 179)(69, 180)(70, 195)(71, 160)(72, 190)(73, 189)(74, 192)(75, 184)(76, 169)(77, 182)(78, 191)(79, 203)(80, 198)(81, 170)(82, 177)(83, 175)(84, 185)(85, 202)(86, 199)(87, 197)(88, 205)(89, 178)(90, 206)(91, 207)(92, 208)(93, 200)(94, 209)(95, 204)(96, 187)(97, 212)(98, 188)(99, 194)(100, 201)(101, 193)(102, 213)(103, 214)(104, 196)(105, 215)(106, 216)(107, 210)(108, 211)
	local type(s) :: { ( 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2394
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 108 f = 45
	degree seq :: [ 24^9 ]

E28.2396 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 12})
Quotient :: dipole
Aut^+ = C4 x ((C3 x C3) : C3) (small group id <108, 13>)
Aut   = (C4 x ((C3 x C3) : C3)) : C2 (small group id <216, 68>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y3^2 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y2^-2, Y1 * Y2^2 * Y1 * Y2^-1 * Y3^-1 * Y2^-1, Y3 * Y2^-2 * Y3 * Y2 * Y1^-1 * Y2, Y2 * Y1 * Y2 * Y1 * Y2^-2 * Y3^-1, Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y1^-1, Y2 * Y1 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y2^12, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 109, 2, 110, 4, 112)(3, 111, 8, 116, 10, 118)(5, 113, 13, 121, 14, 122)(6, 114, 16, 124, 18, 126)(7, 115, 19, 127, 20, 128)(9, 117, 24, 132, 26, 134)(11, 119, 29, 137, 31, 139)(12, 120, 32, 140, 33, 141)(15, 123, 39, 147, 40, 148)(17, 125, 27, 135, 43, 151)(21, 129, 38, 146, 48, 156)(22, 130, 30, 138, 44, 152)(23, 131, 37, 145, 46, 154)(25, 133, 42, 150, 53, 161)(28, 136, 45, 153, 35, 143)(34, 142, 47, 155, 36, 144)(41, 149, 49, 157, 56, 164)(50, 158, 54, 162, 63, 171)(51, 159, 55, 163, 64, 172)(52, 160, 68, 176, 71, 179)(57, 165, 60, 168, 66, 174)(58, 166, 65, 173, 59, 167)(61, 169, 75, 183, 76, 184)(62, 170, 73, 181, 81, 189)(67, 175, 78, 186, 83, 191)(69, 177, 72, 180, 82, 190)(70, 178, 87, 195, 89, 197)(74, 182, 84, 192, 77, 185)(79, 187, 95, 203, 96, 204)(80, 188, 90, 198, 98, 206)(85, 193, 94, 202, 101, 209)(86, 194, 91, 199, 99, 207)(88, 196, 97, 205, 104, 212)(92, 200, 100, 208, 93, 201)(102, 210, 105, 213, 107, 215)(103, 211, 106, 214, 108, 216)(217, 325, 219, 327, 225, 333, 241, 349, 268, 376, 286, 394, 304, 412, 295, 403, 277, 385, 257, 365, 231, 339, 221, 329)(218, 326, 222, 330, 233, 341, 258, 366, 278, 386, 296, 404, 313, 421, 301, 409, 283, 391, 265, 373, 237, 345, 223, 331)(220, 328, 227, 335, 246, 354, 269, 377, 288, 396, 307, 415, 320, 428, 308, 416, 290, 398, 272, 380, 250, 358, 228, 336)(224, 332, 238, 346, 266, 374, 284, 392, 302, 410, 318, 426, 311, 419, 293, 401, 275, 383, 255, 363, 249, 357, 239, 347)(226, 334, 243, 351, 271, 379, 287, 395, 306, 414, 322, 430, 312, 420, 294, 402, 276, 384, 256, 364, 235, 343, 244, 352)(229, 337, 251, 359, 247, 355, 240, 348, 267, 375, 285, 393, 303, 411, 319, 427, 309, 417, 291, 399, 273, 381, 252, 360)(230, 338, 253, 361, 232, 340, 242, 350, 270, 378, 289, 397, 305, 413, 321, 429, 310, 418, 292, 400, 274, 382, 254, 362)(234, 342, 260, 368, 280, 388, 297, 405, 315, 423, 324, 432, 317, 425, 300, 408, 282, 390, 264, 372, 248, 356, 261, 369)(236, 344, 262, 370, 245, 353, 259, 367, 279, 387, 298, 406, 314, 422, 323, 431, 316, 424, 299, 407, 281, 389, 263, 371)
	L = (1, 220)(2, 217)(3, 226)(4, 218)(5, 230)(6, 234)(7, 236)(8, 219)(9, 242)(10, 224)(11, 247)(12, 249)(13, 221)(14, 229)(15, 256)(16, 222)(17, 259)(18, 232)(19, 223)(20, 235)(21, 264)(22, 260)(23, 262)(24, 225)(25, 269)(26, 240)(27, 233)(28, 251)(29, 227)(30, 238)(31, 245)(32, 228)(33, 248)(34, 252)(35, 261)(36, 263)(37, 239)(38, 237)(39, 231)(40, 255)(41, 272)(42, 241)(43, 243)(44, 246)(45, 244)(46, 253)(47, 250)(48, 254)(49, 257)(50, 279)(51, 280)(52, 287)(53, 258)(54, 266)(55, 267)(56, 265)(57, 282)(58, 275)(59, 281)(60, 273)(61, 292)(62, 297)(63, 270)(64, 271)(65, 274)(66, 276)(67, 299)(68, 268)(69, 298)(70, 305)(71, 284)(72, 285)(73, 278)(74, 293)(75, 277)(76, 291)(77, 300)(78, 283)(79, 312)(80, 314)(81, 289)(82, 288)(83, 294)(84, 290)(85, 317)(86, 315)(87, 286)(88, 320)(89, 303)(90, 296)(91, 302)(92, 309)(93, 316)(94, 301)(95, 295)(96, 311)(97, 304)(98, 306)(99, 307)(100, 308)(101, 310)(102, 323)(103, 324)(104, 313)(105, 318)(106, 319)(107, 321)(108, 322)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.2397
Graph:: bipartite
	v = 45 e = 216 f = 117
	degree seq :: [ 6^36, 24^9 ]

E28.2397 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 12})
Quotient :: dipole
Aut^+ = C4 x ((C3 x C3) : C3) (small group id <108, 13>)
Aut   = (C4 x ((C3 x C3) : C3)) : C2 (small group id <216, 68>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-2 * Y3^-1, Y1^2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1, Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1, Y1^12, (Y1^-1 * Y3^-1 * Y1^-3)^3 ]
Map::
	R = (1, 109, 2, 110, 6, 114, 16, 124, 42, 150, 62, 170, 80, 188, 76, 184, 58, 166, 32, 140, 12, 120, 4, 112)(3, 111, 9, 117, 23, 131, 43, 151, 65, 173, 85, 193, 97, 205, 89, 197, 71, 179, 53, 161, 27, 135, 10, 118)(5, 113, 14, 122, 36, 144, 44, 152, 66, 174, 87, 195, 98, 206, 96, 204, 78, 186, 59, 167, 40, 148, 15, 123)(7, 115, 19, 127, 47, 155, 63, 171, 83, 191, 101, 209, 93, 201, 75, 183, 57, 165, 31, 139, 41, 149, 20, 128)(8, 116, 21, 129, 50, 158, 64, 172, 84, 192, 103, 211, 94, 202, 79, 187, 60, 168, 33, 141, 26, 134, 22, 130)(11, 119, 29, 137, 38, 146, 17, 125, 45, 153, 67, 175, 81, 189, 99, 207, 92, 200, 74, 182, 56, 164, 30, 138)(13, 121, 34, 142, 24, 132, 18, 126, 46, 154, 69, 177, 82, 190, 100, 208, 95, 203, 77, 185, 61, 169, 35, 143)(25, 133, 48, 156, 68, 176, 86, 194, 102, 210, 107, 215, 105, 213, 91, 199, 72, 180, 54, 162, 39, 147, 52, 160)(28, 136, 49, 157, 37, 145, 51, 159, 70, 178, 88, 196, 104, 212, 108, 216, 106, 214, 90, 198, 73, 181, 55, 163)(217, 325)(218, 326)(219, 327)(220, 328)(221, 329)(222, 330)(223, 331)(224, 332)(225, 333)(226, 334)(227, 335)(228, 336)(229, 337)(230, 338)(231, 339)(232, 340)(233, 341)(234, 342)(235, 343)(236, 344)(237, 345)(238, 346)(239, 347)(240, 348)(241, 349)(242, 350)(243, 351)(244, 352)(245, 353)(246, 354)(247, 355)(248, 356)(249, 357)(250, 358)(251, 359)(252, 360)(253, 361)(254, 362)(255, 363)(256, 364)(257, 365)(258, 366)(259, 367)(260, 368)(261, 369)(262, 370)(263, 371)(264, 372)(265, 373)(266, 374)(267, 375)(268, 376)(269, 377)(270, 378)(271, 379)(272, 380)(273, 381)(274, 382)(275, 383)(276, 384)(277, 385)(278, 386)(279, 387)(280, 388)(281, 389)(282, 390)(283, 391)(284, 392)(285, 393)(286, 394)(287, 395)(288, 396)(289, 397)(290, 398)(291, 399)(292, 400)(293, 401)(294, 402)(295, 403)(296, 404)(297, 405)(298, 406)(299, 407)(300, 408)(301, 409)(302, 410)(303, 411)(304, 412)(305, 413)(306, 414)(307, 415)(308, 416)(309, 417)(310, 418)(311, 419)(312, 420)(313, 421)(314, 422)(315, 423)(316, 424)(317, 425)(318, 426)(319, 427)(320, 428)(321, 429)(322, 430)(323, 431)(324, 432)
	L = (1, 219)(2, 223)(3, 221)(4, 227)(5, 217)(6, 233)(7, 224)(8, 218)(9, 240)(10, 242)(11, 229)(12, 247)(13, 220)(14, 253)(15, 255)(16, 259)(17, 234)(18, 222)(19, 252)(20, 250)(21, 267)(22, 268)(23, 237)(24, 241)(25, 225)(26, 244)(27, 251)(28, 226)(29, 238)(30, 256)(31, 249)(32, 269)(33, 228)(34, 265)(35, 270)(36, 264)(37, 254)(38, 230)(39, 257)(40, 271)(41, 231)(42, 279)(43, 260)(44, 232)(45, 266)(46, 286)(47, 262)(48, 235)(49, 236)(50, 284)(51, 239)(52, 245)(53, 275)(54, 243)(55, 246)(56, 276)(57, 277)(58, 290)(59, 248)(60, 288)(61, 289)(62, 297)(63, 280)(64, 258)(65, 285)(66, 304)(67, 282)(68, 261)(69, 302)(70, 263)(71, 295)(72, 272)(73, 273)(74, 293)(75, 294)(76, 309)(77, 274)(78, 307)(79, 306)(80, 313)(81, 298)(82, 278)(83, 303)(84, 320)(85, 300)(86, 281)(87, 318)(88, 283)(89, 311)(90, 287)(91, 291)(92, 312)(93, 310)(94, 292)(95, 321)(96, 322)(97, 314)(98, 296)(99, 319)(100, 324)(101, 316)(102, 299)(103, 323)(104, 301)(105, 305)(106, 308)(107, 315)(108, 317)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.2396
Graph:: simple bipartite
	v = 117 e = 216 f = 45
	degree seq :: [ 2^108, 24^9 ]

E28.2398 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 12, 12})
Quotient :: edge
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, (T2^2 * T1^-1)^2, (T2^-1 * T1 * T2^-1)^2, T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1, T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1, T2^-2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 25, 56, 83, 41, 82, 77, 38, 15, 5)(2, 6, 17, 42, 85, 75, 37, 74, 92, 48, 21, 7)(4, 11, 29, 62, 100, 54, 24, 53, 98, 67, 33, 12)(8, 22, 50, 80, 73, 36, 14, 35, 71, 78, 52, 23)(10, 26, 13, 34, 69, 101, 55, 86, 76, 104, 59, 27)(16, 39, 79, 70, 90, 47, 20, 46, 89, 72, 81, 40)(18, 43, 19, 45, 88, 105, 84, 68, 91, 106, 87, 44)(28, 60, 96, 51, 95, 66, 32, 65, 94, 49, 93, 61)(30, 57, 31, 64, 99, 108, 103, 58, 102, 107, 97, 63)(109, 110, 112)(111, 116, 118)(113, 121, 122)(114, 124, 126)(115, 127, 128)(117, 132, 129)(119, 136, 138)(120, 139, 140)(123, 137, 145)(125, 149, 141)(130, 157, 155)(131, 154, 159)(133, 163, 160)(134, 165, 151)(135, 153, 166)(142, 176, 171)(143, 178, 169)(144, 168, 180)(146, 179, 184)(147, 186, 174)(148, 173, 188)(150, 192, 189)(152, 172, 194)(156, 197, 199)(158, 190, 167)(161, 205, 204)(162, 203, 207)(164, 193, 208)(170, 211, 201)(175, 202, 210)(177, 191, 181)(182, 195, 187)(183, 198, 196)(185, 200, 206)(209, 216, 213)(212, 215, 214)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 24^3 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2403
Transitivity :: ET+
Graph:: simple bipartite
	v = 45 e = 108 f = 9
	degree seq :: [ 3^36, 12^9 ]

E28.2399 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 12, 12})
Quotient :: edge
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^2 * T1^-1 * T2^-2 * T1^-1, (T2^-1 * T1 * T2^-1 * T1^-1)^2, T2^12, (T2^-1 * T1^-1)^12 ]
Map:: non-degenerate
	R = (1, 3, 9, 25, 50, 85, 106, 97, 65, 35, 15, 5)(2, 6, 17, 38, 71, 100, 107, 103, 77, 43, 21, 7)(4, 11, 24, 48, 83, 105, 108, 104, 94, 60, 32, 12)(8, 22, 45, 69, 99, 66, 98, 90, 64, 34, 14, 23)(10, 26, 49, 84, 102, 74, 101, 73, 62, 33, 13, 27)(16, 36, 67, 91, 96, 63, 80, 46, 76, 42, 20, 37)(18, 39, 70, 53, 88, 52, 87, 92, 75, 41, 19, 40)(28, 55, 81, 47, 79, 44, 78, 68, 93, 59, 31, 56)(29, 57, 82, 72, 95, 61, 89, 54, 86, 51, 30, 58)(109, 110, 112)(111, 116, 118)(113, 121, 122)(114, 124, 126)(115, 127, 128)(117, 132, 125)(119, 136, 137)(120, 138, 139)(123, 140, 129)(130, 152, 150)(131, 154, 155)(133, 157, 153)(134, 159, 160)(135, 161, 162)(141, 169, 147)(142, 163, 171)(143, 172, 170)(144, 174, 167)(145, 176, 177)(146, 178, 175)(148, 180, 181)(149, 182, 165)(151, 184, 183)(156, 190, 189)(158, 179, 191)(164, 198, 199)(166, 192, 200)(168, 201, 194)(173, 185, 202)(186, 212, 197)(187, 203, 213)(188, 211, 195)(193, 207, 210)(196, 208, 204)(205, 209, 206)(214, 216, 215)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 24^3 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2406
Transitivity :: ET+
Graph:: simple bipartite
	v = 45 e = 108 f = 9
	degree seq :: [ 3^36, 12^9 ]

E28.2400 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 12, 12})
Quotient :: edge
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, (T2^2 * T1)^2, (T2^-2 * T1^-1)^2, T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1, T2^2 * T1^-1 * T2^-6 * T1^-1, T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^3 * T1^-1 * T2^-1 * T1^-1, (T2^3 * T1^-1)^4 ]
Map:: non-degenerate
	R = (1, 3, 9, 25, 55, 91, 47, 90, 77, 38, 15, 5)(2, 6, 17, 41, 83, 58, 26, 57, 93, 48, 21, 7)(4, 11, 30, 64, 101, 75, 37, 74, 99, 53, 24, 12)(8, 22, 14, 36, 73, 78, 56, 80, 76, 97, 52, 23)(10, 27, 60, 86, 71, 35, 13, 34, 70, 100, 54, 28)(16, 39, 20, 46, 89, 104, 84, 72, 92, 50, 81, 40)(18, 42, 85, 69, 88, 45, 19, 44, 87, 107, 82, 43)(29, 62, 33, 68, 95, 49, 94, 51, 96, 79, 105, 63)(31, 59, 102, 61, 103, 67, 32, 66, 98, 108, 106, 65)(109, 110, 112)(111, 116, 118)(113, 121, 122)(114, 124, 126)(115, 127, 128)(117, 132, 134)(119, 137, 139)(120, 140, 141)(123, 145, 125)(129, 155, 138)(130, 157, 158)(131, 154, 159)(133, 162, 164)(135, 167, 150)(136, 152, 169)(142, 177, 173)(143, 175, 153)(144, 180, 171)(146, 184, 178)(147, 186, 187)(148, 176, 188)(149, 190, 192)(151, 174, 194)(156, 200, 195)(160, 198, 168)(161, 204, 206)(163, 191, 209)(165, 193, 189)(166, 197, 196)(170, 212, 205)(172, 214, 202)(179, 199, 181)(182, 210, 213)(183, 203, 211)(185, 201, 207)(208, 216, 215)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 24^3 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2405
Transitivity :: ET+
Graph:: simple bipartite
	v = 45 e = 108 f = 9
	degree seq :: [ 3^36, 12^9 ]

E28.2401 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 12, 12})
Quotient :: edge
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, (T2^-2 * T1)^2, (T2^-2 * T1)^2, T2 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1, T2^6 * T1^-1 * T2^-2 * T1^-1, T2^-1 * T1 * T2^-1 * T1 * T2^3 * T1 * T2^-1 * T1 ]
Map:: non-degenerate
	R = (1, 3, 9, 25, 57, 81, 41, 80, 77, 38, 15, 5)(2, 6, 17, 42, 83, 75, 37, 74, 93, 48, 21, 7)(4, 11, 29, 64, 101, 55, 24, 54, 98, 68, 33, 12)(8, 22, 50, 90, 73, 36, 14, 35, 71, 96, 53, 23)(10, 26, 13, 34, 69, 102, 56, 88, 76, 84, 62, 27)(16, 39, 78, 51, 91, 47, 20, 46, 89, 107, 79, 40)(18, 43, 19, 45, 87, 59, 82, 60, 92, 106, 86, 44)(28, 49, 94, 72, 99, 67, 32, 52, 95, 108, 104, 63)(30, 65, 31, 61, 100, 85, 105, 70, 103, 58, 97, 66)(109, 110, 112)(111, 116, 118)(113, 121, 122)(114, 124, 126)(115, 127, 128)(117, 132, 129)(119, 136, 138)(120, 139, 140)(123, 137, 145)(125, 149, 141)(130, 157, 147)(131, 159, 160)(133, 164, 161)(134, 166, 167)(135, 168, 169)(142, 152, 178)(143, 148, 180)(144, 175, 155)(146, 179, 184)(150, 190, 187)(151, 192, 193)(153, 174, 196)(154, 171, 198)(156, 197, 200)(158, 188, 170)(162, 205, 202)(163, 207, 208)(165, 191, 209)(172, 213, 212)(173, 214, 210)(176, 203, 211)(177, 189, 181)(182, 194, 186)(183, 199, 195)(185, 201, 206)(204, 216, 215)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 24^3 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2404
Transitivity :: ET+
Graph:: simple bipartite
	v = 45 e = 108 f = 9
	degree seq :: [ 3^36, 12^9 ]

E28.2402 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 12, 12})
Quotient :: edge
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-3 * T1^-1 * T2 * T1^-1, (T2^-1 * T1^-1)^3, T1^-3 * T2 * T1^-1 * T2 * T1^-2, (T1^-3 * T2^-1)^2, T2^2 * T1^-1 * T2 * T1^2 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 31, 46, 81, 103, 83, 62, 24, 17, 5)(2, 7, 22, 11, 33, 73, 97, 65, 38, 52, 26, 8)(4, 12, 36, 48, 18, 47, 82, 51, 43, 15, 41, 14)(6, 19, 50, 23, 59, 40, 79, 39, 13, 37, 54, 20)(9, 28, 67, 32, 63, 84, 104, 96, 61, 88, 69, 29)(16, 30, 58, 90, 71, 100, 108, 89, 76, 45, 56, 21)(25, 57, 87, 75, 34, 74, 98, 66, 27, 64, 85, 49)(35, 55, 91, 78, 44, 53, 86, 80, 42, 60, 95, 77)(68, 99, 105, 93, 72, 102, 107, 92, 70, 101, 106, 94)(109, 110, 114, 126, 154, 141, 167, 151, 170, 146, 121, 112)(111, 117, 135, 173, 189, 171, 133, 116, 132, 169, 142, 119)(113, 123, 150, 179, 139, 120, 143, 184, 191, 155, 152, 124)(115, 129, 163, 147, 181, 198, 161, 128, 160, 197, 168, 131)(118, 138, 178, 204, 211, 208, 176, 137, 125, 153, 180, 140)(122, 148, 183, 192, 156, 145, 174, 196, 159, 127, 157, 136)(130, 165, 201, 216, 205, 182, 200, 164, 134, 172, 202, 166)(144, 175, 207, 188, 190, 212, 210, 185, 149, 177, 209, 186)(158, 194, 214, 206, 187, 203, 213, 193, 162, 199, 215, 195)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2407
Transitivity :: ET+
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 12^18 ]

E28.2403 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 12, 12})
Quotient :: loop
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, (T2^2 * T1^-1)^2, (T2^-1 * T1 * T2^-1)^2, T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1, T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1, T2^-2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 109, 3, 111, 9, 117, 25, 133, 56, 164, 83, 191, 41, 149, 82, 190, 77, 185, 38, 146, 15, 123, 5, 113)(2, 110, 6, 114, 17, 125, 42, 150, 85, 193, 75, 183, 37, 145, 74, 182, 92, 200, 48, 156, 21, 129, 7, 115)(4, 112, 11, 119, 29, 137, 62, 170, 100, 208, 54, 162, 24, 132, 53, 161, 98, 206, 67, 175, 33, 141, 12, 120)(8, 116, 22, 130, 50, 158, 80, 188, 73, 181, 36, 144, 14, 122, 35, 143, 71, 179, 78, 186, 52, 160, 23, 131)(10, 118, 26, 134, 13, 121, 34, 142, 69, 177, 101, 209, 55, 163, 86, 194, 76, 184, 104, 212, 59, 167, 27, 135)(16, 124, 39, 147, 79, 187, 70, 178, 90, 198, 47, 155, 20, 128, 46, 154, 89, 197, 72, 180, 81, 189, 40, 148)(18, 126, 43, 151, 19, 127, 45, 153, 88, 196, 105, 213, 84, 192, 68, 176, 91, 199, 106, 214, 87, 195, 44, 152)(28, 136, 60, 168, 96, 204, 51, 159, 95, 203, 66, 174, 32, 140, 65, 173, 94, 202, 49, 157, 93, 201, 61, 169)(30, 138, 57, 165, 31, 139, 64, 172, 99, 207, 108, 216, 103, 211, 58, 166, 102, 210, 107, 215, 97, 205, 63, 171)
	L = (1, 110)(2, 112)(3, 116)(4, 109)(5, 121)(6, 124)(7, 127)(8, 118)(9, 132)(10, 111)(11, 136)(12, 139)(13, 122)(14, 113)(15, 137)(16, 126)(17, 149)(18, 114)(19, 128)(20, 115)(21, 117)(22, 157)(23, 154)(24, 129)(25, 163)(26, 165)(27, 153)(28, 138)(29, 145)(30, 119)(31, 140)(32, 120)(33, 125)(34, 176)(35, 178)(36, 168)(37, 123)(38, 179)(39, 186)(40, 173)(41, 141)(42, 192)(43, 134)(44, 172)(45, 166)(46, 159)(47, 130)(48, 197)(49, 155)(50, 190)(51, 131)(52, 133)(53, 205)(54, 203)(55, 160)(56, 193)(57, 151)(58, 135)(59, 158)(60, 180)(61, 143)(62, 211)(63, 142)(64, 194)(65, 188)(66, 147)(67, 202)(68, 171)(69, 191)(70, 169)(71, 184)(72, 144)(73, 177)(74, 195)(75, 198)(76, 146)(77, 200)(78, 174)(79, 182)(80, 148)(81, 150)(82, 167)(83, 181)(84, 189)(85, 208)(86, 152)(87, 187)(88, 183)(89, 199)(90, 196)(91, 156)(92, 206)(93, 170)(94, 210)(95, 207)(96, 161)(97, 204)(98, 185)(99, 162)(100, 164)(101, 216)(102, 175)(103, 201)(104, 215)(105, 209)(106, 212)(107, 214)(108, 213)
	local type(s) :: { ( 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2398
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 108 f = 45
	degree seq :: [ 24^9 ]

E28.2404 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 12, 12})
Quotient :: loop
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^2 * T1^-1 * T2^-2 * T1^-1, (T2^-1 * T1 * T2^-1 * T1^-1)^2, T2^12, (T2^-1 * T1^-1)^12 ]
Map:: non-degenerate
	R = (1, 109, 3, 111, 9, 117, 25, 133, 50, 158, 85, 193, 106, 214, 97, 205, 65, 173, 35, 143, 15, 123, 5, 113)(2, 110, 6, 114, 17, 125, 38, 146, 71, 179, 100, 208, 107, 215, 103, 211, 77, 185, 43, 151, 21, 129, 7, 115)(4, 112, 11, 119, 24, 132, 48, 156, 83, 191, 105, 213, 108, 216, 104, 212, 94, 202, 60, 168, 32, 140, 12, 120)(8, 116, 22, 130, 45, 153, 69, 177, 99, 207, 66, 174, 98, 206, 90, 198, 64, 172, 34, 142, 14, 122, 23, 131)(10, 118, 26, 134, 49, 157, 84, 192, 102, 210, 74, 182, 101, 209, 73, 181, 62, 170, 33, 141, 13, 121, 27, 135)(16, 124, 36, 144, 67, 175, 91, 199, 96, 204, 63, 171, 80, 188, 46, 154, 76, 184, 42, 150, 20, 128, 37, 145)(18, 126, 39, 147, 70, 178, 53, 161, 88, 196, 52, 160, 87, 195, 92, 200, 75, 183, 41, 149, 19, 127, 40, 148)(28, 136, 55, 163, 81, 189, 47, 155, 79, 187, 44, 152, 78, 186, 68, 176, 93, 201, 59, 167, 31, 139, 56, 164)(29, 137, 57, 165, 82, 190, 72, 180, 95, 203, 61, 169, 89, 197, 54, 162, 86, 194, 51, 159, 30, 138, 58, 166)
	L = (1, 110)(2, 112)(3, 116)(4, 109)(5, 121)(6, 124)(7, 127)(8, 118)(9, 132)(10, 111)(11, 136)(12, 138)(13, 122)(14, 113)(15, 140)(16, 126)(17, 117)(18, 114)(19, 128)(20, 115)(21, 123)(22, 152)(23, 154)(24, 125)(25, 157)(26, 159)(27, 161)(28, 137)(29, 119)(30, 139)(31, 120)(32, 129)(33, 169)(34, 163)(35, 172)(36, 174)(37, 176)(38, 178)(39, 141)(40, 180)(41, 182)(42, 130)(43, 184)(44, 150)(45, 133)(46, 155)(47, 131)(48, 190)(49, 153)(50, 179)(51, 160)(52, 134)(53, 162)(54, 135)(55, 171)(56, 198)(57, 149)(58, 192)(59, 144)(60, 201)(61, 147)(62, 143)(63, 142)(64, 170)(65, 185)(66, 167)(67, 146)(68, 177)(69, 145)(70, 175)(71, 191)(72, 181)(73, 148)(74, 165)(75, 151)(76, 183)(77, 202)(78, 212)(79, 203)(80, 211)(81, 156)(82, 189)(83, 158)(84, 200)(85, 207)(86, 168)(87, 188)(88, 208)(89, 186)(90, 199)(91, 164)(92, 166)(93, 194)(94, 173)(95, 213)(96, 196)(97, 209)(98, 205)(99, 210)(100, 204)(101, 206)(102, 193)(103, 195)(104, 197)(105, 187)(106, 216)(107, 214)(108, 215)
	local type(s) :: { ( 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2401
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 108 f = 45
	degree seq :: [ 24^9 ]

E28.2405 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 12, 12})
Quotient :: loop
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, (T2^2 * T1)^2, (T2^-2 * T1^-1)^2, T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1, T2^2 * T1^-1 * T2^-6 * T1^-1, T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^3 * T1^-1 * T2^-1 * T1^-1, (T2^3 * T1^-1)^4 ]
Map:: non-degenerate
	R = (1, 109, 3, 111, 9, 117, 25, 133, 55, 163, 91, 199, 47, 155, 90, 198, 77, 185, 38, 146, 15, 123, 5, 113)(2, 110, 6, 114, 17, 125, 41, 149, 83, 191, 58, 166, 26, 134, 57, 165, 93, 201, 48, 156, 21, 129, 7, 115)(4, 112, 11, 119, 30, 138, 64, 172, 101, 209, 75, 183, 37, 145, 74, 182, 99, 207, 53, 161, 24, 132, 12, 120)(8, 116, 22, 130, 14, 122, 36, 144, 73, 181, 78, 186, 56, 164, 80, 188, 76, 184, 97, 205, 52, 160, 23, 131)(10, 118, 27, 135, 60, 168, 86, 194, 71, 179, 35, 143, 13, 121, 34, 142, 70, 178, 100, 208, 54, 162, 28, 136)(16, 124, 39, 147, 20, 128, 46, 154, 89, 197, 104, 212, 84, 192, 72, 180, 92, 200, 50, 158, 81, 189, 40, 148)(18, 126, 42, 150, 85, 193, 69, 177, 88, 196, 45, 153, 19, 127, 44, 152, 87, 195, 107, 215, 82, 190, 43, 151)(29, 137, 62, 170, 33, 141, 68, 176, 95, 203, 49, 157, 94, 202, 51, 159, 96, 204, 79, 187, 105, 213, 63, 171)(31, 139, 59, 167, 102, 210, 61, 169, 103, 211, 67, 175, 32, 140, 66, 174, 98, 206, 108, 216, 106, 214, 65, 173)
	L = (1, 110)(2, 112)(3, 116)(4, 109)(5, 121)(6, 124)(7, 127)(8, 118)(9, 132)(10, 111)(11, 137)(12, 140)(13, 122)(14, 113)(15, 145)(16, 126)(17, 123)(18, 114)(19, 128)(20, 115)(21, 155)(22, 157)(23, 154)(24, 134)(25, 162)(26, 117)(27, 167)(28, 152)(29, 139)(30, 129)(31, 119)(32, 141)(33, 120)(34, 177)(35, 175)(36, 180)(37, 125)(38, 184)(39, 186)(40, 176)(41, 190)(42, 135)(43, 174)(44, 169)(45, 143)(46, 159)(47, 138)(48, 200)(49, 158)(50, 130)(51, 131)(52, 198)(53, 204)(54, 164)(55, 191)(56, 133)(57, 193)(58, 197)(59, 150)(60, 160)(61, 136)(62, 212)(63, 144)(64, 214)(65, 142)(66, 194)(67, 153)(68, 188)(69, 173)(70, 146)(71, 199)(72, 171)(73, 179)(74, 210)(75, 203)(76, 178)(77, 201)(78, 187)(79, 147)(80, 148)(81, 165)(82, 192)(83, 209)(84, 149)(85, 189)(86, 151)(87, 156)(88, 166)(89, 196)(90, 168)(91, 181)(92, 195)(93, 207)(94, 172)(95, 211)(96, 206)(97, 170)(98, 161)(99, 185)(100, 216)(101, 163)(102, 213)(103, 183)(104, 205)(105, 182)(106, 202)(107, 208)(108, 215)
	local type(s) :: { ( 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2400
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 108 f = 45
	degree seq :: [ 24^9 ]

E28.2406 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 12, 12})
Quotient :: loop
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, (T2^-2 * T1)^2, (T2^-2 * T1)^2, T2 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1, T2^6 * T1^-1 * T2^-2 * T1^-1, T2^-1 * T1 * T2^-1 * T1 * T2^3 * T1 * T2^-1 * T1 ]
Map:: non-degenerate
	R = (1, 109, 3, 111, 9, 117, 25, 133, 57, 165, 81, 189, 41, 149, 80, 188, 77, 185, 38, 146, 15, 123, 5, 113)(2, 110, 6, 114, 17, 125, 42, 150, 83, 191, 75, 183, 37, 145, 74, 182, 93, 201, 48, 156, 21, 129, 7, 115)(4, 112, 11, 119, 29, 137, 64, 172, 101, 209, 55, 163, 24, 132, 54, 162, 98, 206, 68, 176, 33, 141, 12, 120)(8, 116, 22, 130, 50, 158, 90, 198, 73, 181, 36, 144, 14, 122, 35, 143, 71, 179, 96, 204, 53, 161, 23, 131)(10, 118, 26, 134, 13, 121, 34, 142, 69, 177, 102, 210, 56, 164, 88, 196, 76, 184, 84, 192, 62, 170, 27, 135)(16, 124, 39, 147, 78, 186, 51, 159, 91, 199, 47, 155, 20, 128, 46, 154, 89, 197, 107, 215, 79, 187, 40, 148)(18, 126, 43, 151, 19, 127, 45, 153, 87, 195, 59, 167, 82, 190, 60, 168, 92, 200, 106, 214, 86, 194, 44, 152)(28, 136, 49, 157, 94, 202, 72, 180, 99, 207, 67, 175, 32, 140, 52, 160, 95, 203, 108, 216, 104, 212, 63, 171)(30, 138, 65, 173, 31, 139, 61, 169, 100, 208, 85, 193, 105, 213, 70, 178, 103, 211, 58, 166, 97, 205, 66, 174)
	L = (1, 110)(2, 112)(3, 116)(4, 109)(5, 121)(6, 124)(7, 127)(8, 118)(9, 132)(10, 111)(11, 136)(12, 139)(13, 122)(14, 113)(15, 137)(16, 126)(17, 149)(18, 114)(19, 128)(20, 115)(21, 117)(22, 157)(23, 159)(24, 129)(25, 164)(26, 166)(27, 168)(28, 138)(29, 145)(30, 119)(31, 140)(32, 120)(33, 125)(34, 152)(35, 148)(36, 175)(37, 123)(38, 179)(39, 130)(40, 180)(41, 141)(42, 190)(43, 192)(44, 178)(45, 174)(46, 171)(47, 144)(48, 197)(49, 147)(50, 188)(51, 160)(52, 131)(53, 133)(54, 205)(55, 207)(56, 161)(57, 191)(58, 167)(59, 134)(60, 169)(61, 135)(62, 158)(63, 198)(64, 213)(65, 214)(66, 196)(67, 155)(68, 203)(69, 189)(70, 142)(71, 184)(72, 143)(73, 177)(74, 194)(75, 199)(76, 146)(77, 201)(78, 182)(79, 150)(80, 170)(81, 181)(82, 187)(83, 209)(84, 193)(85, 151)(86, 186)(87, 183)(88, 153)(89, 200)(90, 154)(91, 195)(92, 156)(93, 206)(94, 162)(95, 211)(96, 216)(97, 202)(98, 185)(99, 208)(100, 163)(101, 165)(102, 173)(103, 176)(104, 172)(105, 212)(106, 210)(107, 204)(108, 215)
	local type(s) :: { ( 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2399
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 108 f = 45
	degree seq :: [ 24^9 ]

E28.2407 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 12, 12})
Quotient :: loop
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, T1^-2 * T2^-1 * T1^2 * T2^-1, (T1 * T2 * T1 * T2^-1)^2, T1^12, (T2^-1 * T1^-1)^12 ]
Map:: polytopal non-degenerate
	R = (1, 109, 3, 111, 5, 113)(2, 110, 7, 115, 8, 116)(4, 112, 11, 119, 13, 121)(6, 114, 17, 125, 18, 126)(9, 117, 23, 131, 24, 132)(10, 118, 25, 133, 27, 135)(12, 120, 29, 137, 26, 134)(14, 122, 32, 140, 33, 141)(15, 123, 34, 142, 35, 143)(16, 124, 37, 145, 38, 146)(19, 127, 41, 149, 42, 150)(20, 128, 43, 151, 44, 152)(21, 129, 45, 153, 46, 154)(22, 130, 47, 155, 48, 156)(28, 136, 55, 163, 51, 159)(30, 138, 58, 166, 56, 164)(31, 139, 60, 168, 61, 169)(36, 144, 67, 175, 68, 176)(39, 147, 71, 179, 72, 180)(40, 148, 73, 181, 74, 182)(49, 157, 83, 191, 65, 173)(50, 158, 84, 192, 70, 178)(52, 160, 85, 193, 86, 194)(53, 161, 87, 195, 63, 171)(54, 162, 77, 185, 88, 196)(57, 165, 91, 199, 79, 187)(59, 167, 89, 197, 92, 200)(62, 170, 93, 201, 96, 204)(64, 172, 69, 177, 97, 205)(66, 174, 99, 207, 100, 208)(75, 183, 103, 211, 82, 190)(76, 184, 90, 198, 102, 210)(78, 186, 104, 212, 80, 188)(81, 189, 101, 209, 95, 203)(94, 202, 106, 214, 105, 213)(98, 206, 107, 215, 108, 216)
	L = (1, 110)(2, 114)(3, 117)(4, 109)(5, 122)(6, 124)(7, 127)(8, 129)(9, 126)(10, 111)(11, 130)(12, 112)(13, 128)(14, 125)(15, 113)(16, 144)(17, 147)(18, 148)(19, 146)(20, 115)(21, 145)(22, 116)(23, 157)(24, 159)(25, 160)(26, 118)(27, 158)(28, 119)(29, 123)(30, 120)(31, 121)(32, 168)(33, 171)(34, 172)(35, 170)(36, 174)(37, 177)(38, 178)(39, 176)(40, 175)(41, 183)(42, 135)(43, 185)(44, 184)(45, 142)(46, 188)(47, 189)(48, 187)(49, 182)(50, 131)(51, 181)(52, 132)(53, 133)(54, 134)(55, 190)(56, 136)(57, 137)(58, 139)(59, 138)(60, 180)(61, 186)(62, 140)(63, 179)(64, 141)(65, 143)(66, 206)(67, 209)(68, 210)(69, 208)(70, 207)(71, 193)(72, 152)(73, 155)(74, 204)(75, 192)(76, 149)(77, 150)(78, 151)(79, 153)(80, 205)(81, 154)(82, 156)(83, 213)(84, 199)(85, 198)(86, 164)(87, 214)(88, 161)(89, 162)(90, 163)(91, 173)(92, 165)(93, 166)(94, 167)(95, 169)(96, 203)(97, 196)(98, 202)(99, 191)(100, 195)(101, 216)(102, 215)(103, 200)(104, 197)(105, 201)(106, 194)(107, 211)(108, 212)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2402
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 36 e = 108 f = 18
	degree seq :: [ 6^36 ]

E28.2408 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y1^2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * R * Y2 * R * Y1^-1, (Y2^-1 * Y3^-1 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1, Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-2 * Y1 * Y2 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1, Y2^-1 * Y3 * Y2^-1 * Y1 * Y2^2 * Y3^-1 * Y2 * Y1^-1 * Y2^-1, Y1^-1 * Y2^-1 * Y1^-1 * Y2^3 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y2^-3 * R * Y2^-1)^2, Y2^-1 * R * Y2^-1 * Y3 * Y2^-3 * R * Y2 * Y1^-1, Y2^12, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 109, 2, 110, 4, 112)(3, 111, 8, 116, 10, 118)(5, 113, 13, 121, 14, 122)(6, 114, 16, 124, 18, 126)(7, 115, 19, 127, 20, 128)(9, 117, 24, 132, 21, 129)(11, 119, 28, 136, 30, 138)(12, 120, 31, 139, 32, 140)(15, 123, 29, 137, 37, 145)(17, 125, 41, 149, 33, 141)(22, 130, 49, 157, 47, 155)(23, 131, 46, 154, 51, 159)(25, 133, 55, 163, 52, 160)(26, 134, 57, 165, 43, 151)(27, 135, 45, 153, 58, 166)(34, 142, 68, 176, 63, 171)(35, 143, 70, 178, 61, 169)(36, 144, 60, 168, 72, 180)(38, 146, 71, 179, 76, 184)(39, 147, 78, 186, 66, 174)(40, 148, 65, 173, 80, 188)(42, 150, 84, 192, 81, 189)(44, 152, 64, 172, 86, 194)(48, 156, 89, 197, 91, 199)(50, 158, 82, 190, 59, 167)(53, 161, 97, 205, 96, 204)(54, 162, 95, 203, 99, 207)(56, 164, 85, 193, 100, 208)(62, 170, 103, 211, 93, 201)(67, 175, 94, 202, 102, 210)(69, 177, 83, 191, 73, 181)(74, 182, 87, 195, 79, 187)(75, 183, 90, 198, 88, 196)(77, 185, 92, 200, 98, 206)(101, 209, 108, 216, 105, 213)(104, 212, 107, 215, 106, 214)(217, 325, 219, 327, 225, 333, 241, 349, 272, 380, 299, 407, 257, 365, 298, 406, 293, 401, 254, 362, 231, 339, 221, 329)(218, 326, 222, 330, 233, 341, 258, 366, 301, 409, 291, 399, 253, 361, 290, 398, 308, 416, 264, 372, 237, 345, 223, 331)(220, 328, 227, 335, 245, 353, 278, 386, 316, 424, 270, 378, 240, 348, 269, 377, 314, 422, 283, 391, 249, 357, 228, 336)(224, 332, 238, 346, 266, 374, 296, 404, 289, 397, 252, 360, 230, 338, 251, 359, 287, 395, 294, 402, 268, 376, 239, 347)(226, 334, 242, 350, 229, 337, 250, 358, 285, 393, 317, 425, 271, 379, 302, 410, 292, 400, 320, 428, 275, 383, 243, 351)(232, 340, 255, 363, 295, 403, 286, 394, 306, 414, 263, 371, 236, 344, 262, 370, 305, 413, 288, 396, 297, 405, 256, 364)(234, 342, 259, 367, 235, 343, 261, 369, 304, 412, 321, 429, 300, 408, 284, 392, 307, 415, 322, 430, 303, 411, 260, 368)(244, 352, 276, 384, 312, 420, 267, 375, 311, 419, 282, 390, 248, 356, 281, 389, 310, 418, 265, 373, 309, 417, 277, 385)(246, 354, 273, 381, 247, 355, 280, 388, 315, 423, 324, 432, 319, 427, 274, 382, 318, 426, 323, 431, 313, 421, 279, 387)
	L = (1, 220)(2, 217)(3, 226)(4, 218)(5, 230)(6, 234)(7, 236)(8, 219)(9, 237)(10, 224)(11, 246)(12, 248)(13, 221)(14, 229)(15, 253)(16, 222)(17, 249)(18, 232)(19, 223)(20, 235)(21, 240)(22, 263)(23, 267)(24, 225)(25, 268)(26, 259)(27, 274)(28, 227)(29, 231)(30, 244)(31, 228)(32, 247)(33, 257)(34, 279)(35, 277)(36, 288)(37, 245)(38, 292)(39, 282)(40, 296)(41, 233)(42, 297)(43, 273)(44, 302)(45, 243)(46, 239)(47, 265)(48, 307)(49, 238)(50, 275)(51, 262)(52, 271)(53, 312)(54, 315)(55, 241)(56, 316)(57, 242)(58, 261)(59, 298)(60, 252)(61, 286)(62, 309)(63, 284)(64, 260)(65, 256)(66, 294)(67, 318)(68, 250)(69, 289)(70, 251)(71, 254)(72, 276)(73, 299)(74, 295)(75, 304)(76, 287)(77, 314)(78, 255)(79, 303)(80, 281)(81, 300)(82, 266)(83, 285)(84, 258)(85, 272)(86, 280)(87, 290)(88, 306)(89, 264)(90, 291)(91, 305)(92, 293)(93, 319)(94, 283)(95, 270)(96, 313)(97, 269)(98, 308)(99, 311)(100, 301)(101, 321)(102, 310)(103, 278)(104, 322)(105, 324)(106, 323)(107, 320)(108, 317)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.2414
Graph:: bipartite
	v = 45 e = 216 f = 117
	degree seq :: [ 6^36, 24^9 ]

E28.2409 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y1^2 * Y3^-1, R * Y1 * R * Y3^-1, Y2 * Y3 * Y2^-2 * Y1^-1 * Y2, Y1 * Y2 * Y3 * Y1 * Y2^-1 * Y3, Y2^-2 * Y1^-1 * Y2^2 * Y1^-1, Y2 * Y1 * Y2^-2 * Y3^-1 * Y2, R * Y2^-1 * R * Y3 * Y2^-1 * Y3^-1, Y2^-1 * Y1 * Y2^2 * Y3^-1 * Y2^-1, Y2^-1 * Y3 * Y2^2 * Y1^-1 * Y2^-1, Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y1^-1 * Y2 * Y3^-1, Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y3^-1, Y2^12, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 109, 2, 110, 4, 112)(3, 111, 8, 116, 10, 118)(5, 113, 13, 121, 14, 122)(6, 114, 16, 124, 18, 126)(7, 115, 19, 127, 20, 128)(9, 117, 24, 132, 17, 125)(11, 119, 28, 136, 29, 137)(12, 120, 30, 138, 31, 139)(15, 123, 32, 140, 21, 129)(22, 130, 44, 152, 42, 150)(23, 131, 46, 154, 47, 155)(25, 133, 49, 157, 45, 153)(26, 134, 51, 159, 52, 160)(27, 135, 53, 161, 54, 162)(33, 141, 61, 169, 39, 147)(34, 142, 55, 163, 63, 171)(35, 143, 64, 172, 62, 170)(36, 144, 66, 174, 59, 167)(37, 145, 68, 176, 69, 177)(38, 146, 70, 178, 67, 175)(40, 148, 72, 180, 73, 181)(41, 149, 74, 182, 57, 165)(43, 151, 76, 184, 75, 183)(48, 156, 82, 190, 81, 189)(50, 158, 71, 179, 83, 191)(56, 164, 90, 198, 91, 199)(58, 166, 84, 192, 92, 200)(60, 168, 93, 201, 86, 194)(65, 173, 77, 185, 94, 202)(78, 186, 104, 212, 89, 197)(79, 187, 95, 203, 105, 213)(80, 188, 103, 211, 87, 195)(85, 193, 99, 207, 102, 210)(88, 196, 100, 208, 96, 204)(97, 205, 101, 209, 98, 206)(106, 214, 108, 216, 107, 215)(217, 325, 219, 327, 225, 333, 241, 349, 266, 374, 301, 409, 322, 430, 313, 421, 281, 389, 251, 359, 231, 339, 221, 329)(218, 326, 222, 330, 233, 341, 254, 362, 287, 395, 316, 424, 323, 431, 319, 427, 293, 401, 259, 367, 237, 345, 223, 331)(220, 328, 227, 335, 240, 348, 264, 372, 299, 407, 321, 429, 324, 432, 320, 428, 310, 418, 276, 384, 248, 356, 228, 336)(224, 332, 238, 346, 261, 369, 285, 393, 315, 423, 282, 390, 314, 422, 306, 414, 280, 388, 250, 358, 230, 338, 239, 347)(226, 334, 242, 350, 265, 373, 300, 408, 318, 426, 290, 398, 317, 425, 289, 397, 278, 386, 249, 357, 229, 337, 243, 351)(232, 340, 252, 360, 283, 391, 307, 415, 312, 420, 279, 387, 296, 404, 262, 370, 292, 400, 258, 366, 236, 344, 253, 361)(234, 342, 255, 363, 286, 394, 269, 377, 304, 412, 268, 376, 303, 411, 308, 416, 291, 399, 257, 365, 235, 343, 256, 364)(244, 352, 271, 379, 297, 405, 263, 371, 295, 403, 260, 368, 294, 402, 284, 392, 309, 417, 275, 383, 247, 355, 272, 380)(245, 353, 273, 381, 298, 406, 288, 396, 311, 419, 277, 385, 305, 413, 270, 378, 302, 410, 267, 375, 246, 354, 274, 382)
	L = (1, 220)(2, 217)(3, 226)(4, 218)(5, 230)(6, 234)(7, 236)(8, 219)(9, 233)(10, 224)(11, 245)(12, 247)(13, 221)(14, 229)(15, 237)(16, 222)(17, 240)(18, 232)(19, 223)(20, 235)(21, 248)(22, 258)(23, 263)(24, 225)(25, 261)(26, 268)(27, 270)(28, 227)(29, 244)(30, 228)(31, 246)(32, 231)(33, 255)(34, 279)(35, 278)(36, 275)(37, 285)(38, 283)(39, 277)(40, 289)(41, 273)(42, 260)(43, 291)(44, 238)(45, 265)(46, 239)(47, 262)(48, 297)(49, 241)(50, 299)(51, 242)(52, 267)(53, 243)(54, 269)(55, 250)(56, 307)(57, 290)(58, 308)(59, 282)(60, 302)(61, 249)(62, 280)(63, 271)(64, 251)(65, 310)(66, 252)(67, 286)(68, 253)(69, 284)(70, 254)(71, 266)(72, 256)(73, 288)(74, 257)(75, 292)(76, 259)(77, 281)(78, 305)(79, 321)(80, 303)(81, 298)(82, 264)(83, 287)(84, 274)(85, 318)(86, 309)(87, 319)(88, 312)(89, 320)(90, 272)(91, 306)(92, 300)(93, 276)(94, 293)(95, 295)(96, 316)(97, 314)(98, 317)(99, 301)(100, 304)(101, 313)(102, 315)(103, 296)(104, 294)(105, 311)(106, 323)(107, 324)(108, 322)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.2417
Graph:: bipartite
	v = 45 e = 216 f = 117
	degree seq :: [ 6^36, 24^9 ]

E28.2410 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y1^2 * Y3^-1, R * Y3 * R * Y1^-1, Y1 * Y2^-1 * Y1 * Y3 * Y2 * Y3, Y3 * Y2 * Y1 * Y3 * Y2^-1 * Y1, Y1^-1 * Y2 * Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1, (Y2^2 * Y1)^2, (Y2^-2 * Y3)^2, R * Y2 * R * Y3 * Y2 * Y3^-1, Y2 * Y3 * Y2 * R * Y2 * R * Y2^-1 * Y1^-1, Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y3, Y2^2 * Y3 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2 * Y1^-1 * Y2, Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2^3 * Y1^-1, Y3 * Y2^2 * Y3 * Y2^-6, R * Y2 * Y3 * Y2^3 * R * Y2 * Y3^-1 * Y2^-1, Y3 * Y2^2 * Y3 * Y2 * Y1^-1 * Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y3 * Y2^2 ]
Map::
	R = (1, 109, 2, 110, 4, 112)(3, 111, 8, 116, 10, 118)(5, 113, 13, 121, 14, 122)(6, 114, 16, 124, 18, 126)(7, 115, 19, 127, 20, 128)(9, 117, 24, 132, 26, 134)(11, 119, 29, 137, 31, 139)(12, 120, 32, 140, 33, 141)(15, 123, 37, 145, 17, 125)(21, 129, 47, 155, 30, 138)(22, 130, 49, 157, 50, 158)(23, 131, 46, 154, 51, 159)(25, 133, 54, 162, 56, 164)(27, 135, 59, 167, 42, 150)(28, 136, 44, 152, 61, 169)(34, 142, 69, 177, 65, 173)(35, 143, 67, 175, 45, 153)(36, 144, 72, 180, 63, 171)(38, 146, 76, 184, 70, 178)(39, 147, 78, 186, 79, 187)(40, 148, 68, 176, 80, 188)(41, 149, 82, 190, 84, 192)(43, 151, 66, 174, 86, 194)(48, 156, 92, 200, 87, 195)(52, 160, 90, 198, 60, 168)(53, 161, 96, 204, 98, 206)(55, 163, 83, 191, 101, 209)(57, 165, 85, 193, 81, 189)(58, 166, 89, 197, 88, 196)(62, 170, 104, 212, 97, 205)(64, 172, 106, 214, 94, 202)(71, 179, 91, 199, 73, 181)(74, 182, 102, 210, 105, 213)(75, 183, 95, 203, 103, 211)(77, 185, 93, 201, 99, 207)(100, 208, 108, 216, 107, 215)(217, 325, 219, 327, 225, 333, 241, 349, 271, 379, 307, 415, 263, 371, 306, 414, 293, 401, 254, 362, 231, 339, 221, 329)(218, 326, 222, 330, 233, 341, 257, 365, 299, 407, 274, 382, 242, 350, 273, 381, 309, 417, 264, 372, 237, 345, 223, 331)(220, 328, 227, 335, 246, 354, 280, 388, 317, 425, 291, 399, 253, 361, 290, 398, 315, 423, 269, 377, 240, 348, 228, 336)(224, 332, 238, 346, 230, 338, 252, 360, 289, 397, 294, 402, 272, 380, 296, 404, 292, 400, 313, 421, 268, 376, 239, 347)(226, 334, 243, 351, 276, 384, 302, 410, 287, 395, 251, 359, 229, 337, 250, 358, 286, 394, 316, 424, 270, 378, 244, 352)(232, 340, 255, 363, 236, 344, 262, 370, 305, 413, 320, 428, 300, 408, 288, 396, 308, 416, 266, 374, 297, 405, 256, 364)(234, 342, 258, 366, 301, 409, 285, 393, 304, 412, 261, 369, 235, 343, 260, 368, 303, 411, 323, 431, 298, 406, 259, 367)(245, 353, 278, 386, 249, 357, 284, 392, 311, 419, 265, 373, 310, 418, 267, 375, 312, 420, 295, 403, 321, 429, 279, 387)(247, 355, 275, 383, 318, 426, 277, 385, 319, 427, 283, 391, 248, 356, 282, 390, 314, 422, 324, 432, 322, 430, 281, 389)
	L = (1, 220)(2, 217)(3, 226)(4, 218)(5, 230)(6, 234)(7, 236)(8, 219)(9, 242)(10, 224)(11, 247)(12, 249)(13, 221)(14, 229)(15, 233)(16, 222)(17, 253)(18, 232)(19, 223)(20, 235)(21, 246)(22, 266)(23, 267)(24, 225)(25, 272)(26, 240)(27, 258)(28, 277)(29, 227)(30, 263)(31, 245)(32, 228)(33, 248)(34, 281)(35, 261)(36, 279)(37, 231)(38, 286)(39, 295)(40, 296)(41, 300)(42, 275)(43, 302)(44, 244)(45, 283)(46, 239)(47, 237)(48, 303)(49, 238)(50, 265)(51, 262)(52, 276)(53, 314)(54, 241)(55, 317)(56, 270)(57, 297)(58, 304)(59, 243)(60, 306)(61, 260)(62, 313)(63, 288)(64, 310)(65, 285)(66, 259)(67, 251)(68, 256)(69, 250)(70, 292)(71, 289)(72, 252)(73, 307)(74, 321)(75, 319)(76, 254)(77, 315)(78, 255)(79, 294)(80, 284)(81, 301)(82, 257)(83, 271)(84, 298)(85, 273)(86, 282)(87, 308)(88, 305)(89, 274)(90, 268)(91, 287)(92, 264)(93, 293)(94, 322)(95, 291)(96, 269)(97, 320)(98, 312)(99, 309)(100, 323)(101, 299)(102, 290)(103, 311)(104, 278)(105, 318)(106, 280)(107, 324)(108, 316)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.2416
Graph:: bipartite
	v = 45 e = 216 f = 117
	degree seq :: [ 6^36, 24^9 ]

E28.2411 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (Y2^2 * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1 * Y2^-1)^2, Y3^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2, Y2^4 * Y1 * Y2^-4 * Y1^-1, Y2^-2 * Y3 * Y2^-1 * Y1^-1 * Y2^-2 * Y1^-1 * Y2 * Y1^-1, Y3 * Y2^-3 * Y3 * Y2 * Y1^-1 * Y2 * Y3 * Y2, Y2^-1 * Y3 * Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 109, 2, 110, 4, 112)(3, 111, 8, 116, 10, 118)(5, 113, 13, 121, 14, 122)(6, 114, 16, 124, 18, 126)(7, 115, 19, 127, 20, 128)(9, 117, 24, 132, 21, 129)(11, 119, 28, 136, 30, 138)(12, 120, 31, 139, 32, 140)(15, 123, 29, 137, 37, 145)(17, 125, 41, 149, 33, 141)(22, 130, 49, 157, 39, 147)(23, 131, 51, 159, 52, 160)(25, 133, 56, 164, 53, 161)(26, 134, 58, 166, 59, 167)(27, 135, 60, 168, 61, 169)(34, 142, 44, 152, 70, 178)(35, 143, 40, 148, 72, 180)(36, 144, 67, 175, 47, 155)(38, 146, 71, 179, 76, 184)(42, 150, 82, 190, 79, 187)(43, 151, 84, 192, 85, 193)(45, 153, 66, 174, 88, 196)(46, 154, 63, 171, 90, 198)(48, 156, 89, 197, 92, 200)(50, 158, 80, 188, 62, 170)(54, 162, 97, 205, 94, 202)(55, 163, 99, 207, 100, 208)(57, 165, 83, 191, 101, 209)(64, 172, 105, 213, 104, 212)(65, 173, 106, 214, 102, 210)(68, 176, 95, 203, 103, 211)(69, 177, 81, 189, 73, 181)(74, 182, 86, 194, 78, 186)(75, 183, 91, 199, 87, 195)(77, 185, 93, 201, 98, 206)(96, 204, 108, 216, 107, 215)(217, 325, 219, 327, 225, 333, 241, 349, 273, 381, 297, 405, 257, 365, 296, 404, 293, 401, 254, 362, 231, 339, 221, 329)(218, 326, 222, 330, 233, 341, 258, 366, 299, 407, 291, 399, 253, 361, 290, 398, 309, 417, 264, 372, 237, 345, 223, 331)(220, 328, 227, 335, 245, 353, 280, 388, 317, 425, 271, 379, 240, 348, 270, 378, 314, 422, 284, 392, 249, 357, 228, 336)(224, 332, 238, 346, 266, 374, 306, 414, 289, 397, 252, 360, 230, 338, 251, 359, 287, 395, 312, 420, 269, 377, 239, 347)(226, 334, 242, 350, 229, 337, 250, 358, 285, 393, 318, 426, 272, 380, 304, 412, 292, 400, 300, 408, 278, 386, 243, 351)(232, 340, 255, 363, 294, 402, 267, 375, 307, 415, 263, 371, 236, 344, 262, 370, 305, 413, 323, 431, 295, 403, 256, 364)(234, 342, 259, 367, 235, 343, 261, 369, 303, 411, 275, 383, 298, 406, 276, 384, 308, 416, 322, 430, 302, 410, 260, 368)(244, 352, 265, 373, 310, 418, 288, 396, 315, 423, 283, 391, 248, 356, 268, 376, 311, 419, 324, 432, 320, 428, 279, 387)(246, 354, 281, 389, 247, 355, 277, 385, 316, 424, 301, 409, 321, 429, 286, 394, 319, 427, 274, 382, 313, 421, 282, 390)
	L = (1, 220)(2, 217)(3, 226)(4, 218)(5, 230)(6, 234)(7, 236)(8, 219)(9, 237)(10, 224)(11, 246)(12, 248)(13, 221)(14, 229)(15, 253)(16, 222)(17, 249)(18, 232)(19, 223)(20, 235)(21, 240)(22, 255)(23, 268)(24, 225)(25, 269)(26, 275)(27, 277)(28, 227)(29, 231)(30, 244)(31, 228)(32, 247)(33, 257)(34, 286)(35, 288)(36, 263)(37, 245)(38, 292)(39, 265)(40, 251)(41, 233)(42, 295)(43, 301)(44, 250)(45, 304)(46, 306)(47, 283)(48, 308)(49, 238)(50, 278)(51, 239)(52, 267)(53, 272)(54, 310)(55, 316)(56, 241)(57, 317)(58, 242)(59, 274)(60, 243)(61, 276)(62, 296)(63, 262)(64, 320)(65, 318)(66, 261)(67, 252)(68, 319)(69, 289)(70, 260)(71, 254)(72, 256)(73, 297)(74, 294)(75, 303)(76, 287)(77, 314)(78, 302)(79, 298)(80, 266)(81, 285)(82, 258)(83, 273)(84, 259)(85, 300)(86, 290)(87, 307)(88, 282)(89, 264)(90, 279)(91, 291)(92, 305)(93, 293)(94, 313)(95, 284)(96, 323)(97, 270)(98, 309)(99, 271)(100, 315)(101, 299)(102, 322)(103, 311)(104, 321)(105, 280)(106, 281)(107, 324)(108, 312)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.2415
Graph:: bipartite
	v = 45 e = 216 f = 117
	degree seq :: [ 6^36, 24^9 ]

E28.2412 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y2^-1 * Y1^-3, (Y2 * Y1)^3, (Y3^-1 * Y1^-1)^3, Y2^2 * Y1 * Y2^-1 * Y1^2 * Y2^-1 * Y1, (Y1 * Y2^-1 * Y1 * Y2)^2, Y1^-1 * Y2^5 * Y1^-1 * Y2, Y2 * Y1^-2 * Y2 * Y1^-1 * Y2^-2 * Y1^-1 ]
Map::
	R = (1, 109, 2, 110, 6, 114, 18, 126, 46, 154, 81, 189, 103, 211, 102, 210, 75, 183, 32, 140, 13, 121, 4, 112)(3, 111, 9, 117, 25, 133, 8, 116, 24, 132, 59, 167, 93, 201, 55, 163, 45, 153, 72, 180, 33, 141, 11, 119)(5, 113, 15, 123, 40, 148, 71, 179, 30, 138, 70, 178, 101, 209, 69, 177, 37, 145, 12, 120, 35, 143, 16, 124)(7, 115, 21, 129, 51, 159, 20, 128, 50, 158, 88, 196, 106, 214, 86, 194, 64, 172, 94, 202, 57, 165, 23, 131)(10, 118, 29, 137, 67, 175, 28, 136, 60, 168, 42, 150, 80, 188, 44, 152, 17, 125, 43, 151, 73, 181, 31, 139)(14, 122, 19, 127, 48, 156, 83, 191, 47, 155, 82, 190, 104, 212, 100, 208, 78, 186, 38, 146, 66, 174, 27, 135)(22, 130, 54, 162, 92, 200, 53, 161, 34, 142, 61, 169, 96, 204, 63, 171, 26, 134, 62, 170, 95, 203, 56, 164)(36, 144, 68, 176, 99, 207, 76, 184, 41, 149, 65, 173, 97, 205, 79, 187, 39, 147, 74, 182, 98, 206, 77, 185)(49, 157, 85, 193, 105, 213, 84, 192, 58, 166, 89, 197, 108, 216, 91, 199, 52, 160, 90, 198, 107, 215, 87, 195)(217, 325, 219, 327, 226, 334, 246, 354, 262, 370, 240, 348, 276, 384, 253, 361, 291, 399, 261, 369, 233, 341, 221, 329)(218, 326, 223, 331, 238, 346, 271, 379, 297, 405, 266, 374, 250, 358, 227, 335, 248, 356, 280, 388, 242, 350, 224, 332)(220, 328, 228, 336, 252, 360, 263, 371, 234, 342, 231, 339, 257, 365, 294, 402, 318, 426, 286, 394, 255, 363, 230, 338)(222, 330, 235, 343, 265, 373, 302, 410, 319, 427, 298, 406, 274, 382, 239, 347, 229, 337, 254, 362, 268, 376, 236, 344)(225, 333, 243, 351, 281, 389, 260, 368, 275, 383, 299, 407, 290, 398, 247, 355, 288, 396, 316, 424, 284, 392, 244, 352)(232, 340, 258, 366, 279, 387, 304, 412, 287, 395, 259, 367, 272, 380, 310, 418, 285, 393, 245, 353, 269, 377, 237, 345)(241, 349, 277, 385, 307, 415, 320, 428, 309, 417, 278, 386, 303, 411, 282, 390, 249, 357, 270, 378, 300, 408, 264, 372)(251, 359, 273, 381, 301, 409, 295, 403, 256, 364, 267, 375, 305, 413, 293, 401, 317, 425, 322, 430, 306, 414, 292, 400)(283, 391, 314, 422, 321, 429, 311, 419, 296, 404, 315, 423, 324, 432, 308, 416, 289, 397, 313, 421, 323, 431, 312, 420)
	L = (1, 219)(2, 223)(3, 226)(4, 228)(5, 217)(6, 235)(7, 238)(8, 218)(9, 243)(10, 246)(11, 248)(12, 252)(13, 254)(14, 220)(15, 257)(16, 258)(17, 221)(18, 231)(19, 265)(20, 222)(21, 232)(22, 271)(23, 229)(24, 276)(25, 277)(26, 224)(27, 281)(28, 225)(29, 269)(30, 262)(31, 288)(32, 280)(33, 270)(34, 227)(35, 273)(36, 263)(37, 291)(38, 268)(39, 230)(40, 267)(41, 294)(42, 279)(43, 272)(44, 275)(45, 233)(46, 240)(47, 234)(48, 241)(49, 302)(50, 250)(51, 305)(52, 236)(53, 237)(54, 300)(55, 297)(56, 310)(57, 301)(58, 239)(59, 299)(60, 253)(61, 307)(62, 303)(63, 304)(64, 242)(65, 260)(66, 249)(67, 314)(68, 244)(69, 245)(70, 255)(71, 259)(72, 316)(73, 313)(74, 247)(75, 261)(76, 251)(77, 317)(78, 318)(79, 256)(80, 315)(81, 266)(82, 274)(83, 290)(84, 264)(85, 295)(86, 319)(87, 282)(88, 287)(89, 293)(90, 292)(91, 320)(92, 289)(93, 278)(94, 285)(95, 296)(96, 283)(97, 323)(98, 321)(99, 324)(100, 284)(101, 322)(102, 286)(103, 298)(104, 309)(105, 311)(106, 306)(107, 312)(108, 308)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2413
Graph:: bipartite
	v = 18 e = 216 f = 144
	degree seq :: [ 24^18 ]

E28.2413 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y3^-2 * Y2 * Y3, (Y3 * Y2 * Y3 * Y2^-1)^2, (Y3 * Y2^-1)^12, (Y3^-1 * Y1^-1)^12 ]
Map:: polytopal
	R = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)(217, 325, 218, 326, 220, 328)(219, 327, 224, 332, 226, 334)(221, 329, 229, 337, 230, 338)(222, 330, 232, 340, 234, 342)(223, 331, 235, 343, 236, 344)(225, 333, 240, 348, 233, 341)(227, 335, 244, 352, 245, 353)(228, 336, 246, 354, 247, 355)(231, 339, 248, 356, 237, 345)(238, 346, 260, 368, 258, 366)(239, 347, 262, 370, 263, 371)(241, 349, 265, 373, 261, 369)(242, 350, 267, 375, 268, 376)(243, 351, 269, 377, 270, 378)(249, 357, 277, 385, 255, 363)(250, 358, 271, 379, 279, 387)(251, 359, 280, 388, 278, 386)(252, 360, 282, 390, 275, 383)(253, 361, 284, 392, 285, 393)(254, 362, 286, 394, 283, 391)(256, 364, 288, 396, 289, 397)(257, 365, 290, 398, 273, 381)(259, 367, 292, 400, 291, 399)(264, 372, 298, 406, 297, 405)(266, 374, 287, 395, 299, 407)(272, 380, 306, 414, 307, 415)(274, 382, 300, 408, 308, 416)(276, 384, 309, 417, 302, 410)(281, 389, 293, 401, 310, 418)(294, 402, 320, 428, 305, 413)(295, 403, 311, 419, 321, 429)(296, 404, 319, 427, 303, 411)(301, 409, 315, 423, 318, 426)(304, 412, 316, 424, 312, 420)(313, 421, 317, 425, 314, 422)(322, 430, 324, 432, 323, 431)
	L = (1, 219)(2, 222)(3, 225)(4, 227)(5, 217)(6, 233)(7, 218)(8, 238)(9, 241)(10, 242)(11, 240)(12, 220)(13, 243)(14, 239)(15, 221)(16, 252)(17, 254)(18, 255)(19, 256)(20, 253)(21, 223)(22, 261)(23, 224)(24, 264)(25, 266)(26, 265)(27, 226)(28, 271)(29, 273)(30, 274)(31, 272)(32, 228)(33, 229)(34, 230)(35, 231)(36, 283)(37, 232)(38, 287)(39, 286)(40, 234)(41, 235)(42, 236)(43, 237)(44, 294)(45, 285)(46, 292)(47, 295)(48, 299)(49, 300)(50, 301)(51, 246)(52, 303)(53, 304)(54, 302)(55, 297)(56, 244)(57, 298)(58, 245)(59, 247)(60, 248)(61, 305)(62, 249)(63, 296)(64, 250)(65, 251)(66, 314)(67, 307)(68, 309)(69, 315)(70, 269)(71, 316)(72, 311)(73, 278)(74, 317)(75, 257)(76, 258)(77, 259)(78, 284)(79, 260)(80, 262)(81, 263)(82, 288)(83, 321)(84, 318)(85, 322)(86, 267)(87, 308)(88, 268)(89, 270)(90, 280)(91, 312)(92, 291)(93, 275)(94, 276)(95, 277)(96, 279)(97, 281)(98, 306)(99, 282)(100, 323)(101, 289)(102, 290)(103, 293)(104, 310)(105, 324)(106, 313)(107, 319)(108, 320)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 24, 24 ), ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2412
Graph:: simple bipartite
	v = 144 e = 216 f = 18
	degree seq :: [ 2^108, 6^36 ]

E28.2414 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y1)^2, (R * Y3)^2, (Y1^2 * Y3^-1)^2, (Y1^-2 * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y3 * Y1^2 * Y3 * Y1^-6 ]
Map::
	R = (1, 109, 2, 110, 6, 114, 16, 124, 39, 147, 78, 186, 56, 164, 93, 201, 65, 173, 30, 138, 12, 120, 4, 112)(3, 111, 9, 117, 23, 131, 55, 163, 79, 187, 68, 176, 31, 139, 67, 175, 90, 198, 44, 152, 18, 126, 10, 118)(5, 113, 14, 122, 29, 137, 63, 171, 80, 188, 43, 151, 17, 125, 42, 150, 84, 192, 75, 183, 37, 145, 15, 123)(7, 115, 19, 127, 45, 153, 92, 200, 72, 180, 33, 141, 13, 121, 32, 140, 64, 172, 83, 191, 41, 149, 20, 128)(8, 116, 21, 129, 11, 119, 28, 136, 60, 168, 82, 190, 40, 148, 81, 189, 66, 174, 98, 206, 53, 161, 22, 130)(24, 132, 57, 165, 103, 211, 69, 177, 96, 204, 47, 155, 27, 135, 48, 156, 89, 197, 73, 181, 102, 210, 58, 166)(25, 133, 51, 159, 26, 134, 52, 160, 97, 205, 106, 214, 101, 209, 61, 169, 91, 199, 108, 216, 104, 212, 59, 167)(34, 142, 71, 179, 86, 194, 49, 157, 87, 195, 77, 185, 38, 146, 76, 184, 95, 203, 46, 154, 94, 202, 70, 178)(35, 143, 50, 158, 36, 144, 74, 182, 88, 196, 105, 213, 100, 208, 54, 162, 99, 207, 107, 215, 85, 193, 62, 170)(217, 325)(218, 326)(219, 327)(220, 328)(221, 329)(222, 330)(223, 331)(224, 332)(225, 333)(226, 334)(227, 335)(228, 336)(229, 337)(230, 338)(231, 339)(232, 340)(233, 341)(234, 342)(235, 343)(236, 344)(237, 345)(238, 346)(239, 347)(240, 348)(241, 349)(242, 350)(243, 351)(244, 352)(245, 353)(246, 354)(247, 355)(248, 356)(249, 357)(250, 358)(251, 359)(252, 360)(253, 361)(254, 362)(255, 363)(256, 364)(257, 365)(258, 366)(259, 367)(260, 368)(261, 369)(262, 370)(263, 371)(264, 372)(265, 373)(266, 374)(267, 375)(268, 376)(269, 377)(270, 378)(271, 379)(272, 380)(273, 381)(274, 382)(275, 383)(276, 384)(277, 385)(278, 386)(279, 387)(280, 388)(281, 389)(282, 390)(283, 391)(284, 392)(285, 393)(286, 394)(287, 395)(288, 396)(289, 397)(290, 398)(291, 399)(292, 400)(293, 401)(294, 402)(295, 403)(296, 404)(297, 405)(298, 406)(299, 407)(300, 408)(301, 409)(302, 410)(303, 411)(304, 412)(305, 413)(306, 414)(307, 415)(308, 416)(309, 417)(310, 418)(311, 419)(312, 420)(313, 421)(314, 422)(315, 423)(316, 424)(317, 425)(318, 426)(319, 427)(320, 428)(321, 429)(322, 430)(323, 431)(324, 432)
	L = (1, 219)(2, 223)(3, 221)(4, 227)(5, 217)(6, 233)(7, 224)(8, 218)(9, 240)(10, 242)(11, 229)(12, 245)(13, 220)(14, 250)(15, 252)(16, 256)(17, 234)(18, 222)(19, 262)(20, 264)(21, 266)(22, 268)(23, 272)(24, 241)(25, 225)(26, 243)(27, 226)(28, 277)(29, 247)(30, 280)(31, 228)(32, 285)(33, 287)(34, 251)(35, 230)(36, 254)(37, 239)(38, 231)(39, 295)(40, 257)(41, 232)(42, 301)(43, 303)(44, 305)(45, 309)(46, 263)(47, 235)(48, 265)(49, 236)(50, 267)(51, 237)(52, 270)(53, 261)(54, 238)(55, 317)(56, 253)(57, 299)(58, 292)(59, 290)(60, 294)(61, 278)(62, 244)(63, 316)(64, 282)(65, 306)(66, 246)(67, 320)(68, 312)(69, 286)(70, 248)(71, 289)(72, 276)(73, 249)(74, 297)(75, 311)(76, 308)(77, 273)(78, 288)(79, 296)(80, 255)(81, 275)(82, 321)(83, 293)(84, 281)(85, 302)(86, 258)(87, 304)(88, 259)(89, 307)(90, 300)(91, 260)(92, 274)(93, 269)(94, 279)(95, 315)(96, 313)(97, 284)(98, 323)(99, 291)(100, 310)(101, 318)(102, 271)(103, 283)(104, 319)(105, 322)(106, 298)(107, 324)(108, 314)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.2408
Graph:: simple bipartite
	v = 117 e = 216 f = 45
	degree seq :: [ 2^108, 24^9 ]

E28.2415 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y1^-2 * Y3^-1 * Y1, (Y3 * Y2^-1)^3, (Y1 * Y3^-1 * Y1 * Y3)^2, Y1^12, (Y3^-1 * Y1^-1)^12 ]
Map::
	R = (1, 109, 2, 110, 6, 114, 16, 124, 36, 144, 66, 174, 98, 206, 94, 202, 59, 167, 30, 138, 12, 120, 4, 112)(3, 111, 9, 117, 18, 126, 40, 148, 67, 175, 101, 209, 108, 216, 104, 212, 89, 197, 54, 162, 26, 134, 10, 118)(5, 113, 14, 122, 17, 125, 39, 147, 68, 176, 102, 210, 107, 215, 103, 211, 92, 200, 57, 165, 29, 137, 15, 123)(7, 115, 19, 127, 38, 146, 70, 178, 99, 207, 83, 191, 105, 213, 93, 201, 58, 166, 31, 139, 13, 121, 20, 128)(8, 116, 21, 129, 37, 145, 69, 177, 100, 208, 87, 195, 106, 214, 86, 194, 56, 164, 28, 136, 11, 119, 22, 130)(23, 131, 49, 157, 74, 182, 96, 204, 95, 203, 61, 169, 78, 186, 43, 151, 77, 185, 42, 150, 27, 135, 50, 158)(24, 132, 51, 159, 73, 181, 47, 155, 81, 189, 46, 154, 80, 188, 97, 205, 88, 196, 53, 161, 25, 133, 52, 160)(32, 140, 60, 168, 72, 180, 44, 152, 76, 184, 41, 149, 75, 183, 84, 192, 91, 199, 65, 173, 35, 143, 62, 170)(33, 141, 63, 171, 71, 179, 85, 193, 90, 198, 55, 163, 82, 190, 48, 156, 79, 187, 45, 153, 34, 142, 64, 172)(217, 325)(218, 326)(219, 327)(220, 328)(221, 329)(222, 330)(223, 331)(224, 332)(225, 333)(226, 334)(227, 335)(228, 336)(229, 337)(230, 338)(231, 339)(232, 340)(233, 341)(234, 342)(235, 343)(236, 344)(237, 345)(238, 346)(239, 347)(240, 348)(241, 349)(242, 350)(243, 351)(244, 352)(245, 353)(246, 354)(247, 355)(248, 356)(249, 357)(250, 358)(251, 359)(252, 360)(253, 361)(254, 362)(255, 363)(256, 364)(257, 365)(258, 366)(259, 367)(260, 368)(261, 369)(262, 370)(263, 371)(264, 372)(265, 373)(266, 374)(267, 375)(268, 376)(269, 377)(270, 378)(271, 379)(272, 380)(273, 381)(274, 382)(275, 383)(276, 384)(277, 385)(278, 386)(279, 387)(280, 388)(281, 389)(282, 390)(283, 391)(284, 392)(285, 393)(286, 394)(287, 395)(288, 396)(289, 397)(290, 398)(291, 399)(292, 400)(293, 401)(294, 402)(295, 403)(296, 404)(297, 405)(298, 406)(299, 407)(300, 408)(301, 409)(302, 410)(303, 411)(304, 412)(305, 413)(306, 414)(307, 415)(308, 416)(309, 417)(310, 418)(311, 419)(312, 420)(313, 421)(314, 422)(315, 423)(316, 424)(317, 425)(318, 426)(319, 427)(320, 428)(321, 429)(322, 430)(323, 431)(324, 432)
	L = (1, 219)(2, 223)(3, 221)(4, 227)(5, 217)(6, 233)(7, 224)(8, 218)(9, 239)(10, 241)(11, 229)(12, 245)(13, 220)(14, 248)(15, 250)(16, 253)(17, 234)(18, 222)(19, 257)(20, 259)(21, 261)(22, 263)(23, 240)(24, 225)(25, 243)(26, 228)(27, 226)(28, 271)(29, 242)(30, 274)(31, 276)(32, 249)(33, 230)(34, 251)(35, 231)(36, 283)(37, 254)(38, 232)(39, 287)(40, 289)(41, 258)(42, 235)(43, 260)(44, 236)(45, 262)(46, 237)(47, 264)(48, 238)(49, 299)(50, 300)(51, 244)(52, 301)(53, 303)(54, 293)(55, 267)(56, 246)(57, 307)(58, 272)(59, 305)(60, 277)(61, 247)(62, 309)(63, 269)(64, 285)(65, 265)(66, 315)(67, 284)(68, 252)(69, 313)(70, 266)(71, 288)(72, 255)(73, 290)(74, 256)(75, 319)(76, 306)(77, 304)(78, 320)(79, 273)(80, 294)(81, 317)(82, 291)(83, 281)(84, 286)(85, 302)(86, 268)(87, 279)(88, 270)(89, 308)(90, 318)(91, 295)(92, 275)(93, 312)(94, 322)(95, 297)(96, 278)(97, 280)(98, 323)(99, 316)(100, 282)(101, 311)(102, 292)(103, 298)(104, 296)(105, 310)(106, 321)(107, 324)(108, 314)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.2411
Graph:: simple bipartite
	v = 117 e = 216 f = 45
	degree seq :: [ 2^108, 24^9 ]

E28.2416 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y1^2 * Y3)^2, (Y3 * Y2^-1)^3, (Y3 * Y1^-2 * Y3)^2, Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3^-1, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1 * Y3, Y1^-2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-4 ]
Map::
	R = (1, 109, 2, 110, 6, 114, 16, 124, 39, 147, 78, 186, 60, 168, 95, 203, 70, 178, 32, 140, 12, 120, 4, 112)(3, 111, 9, 117, 23, 131, 55, 163, 79, 187, 44, 152, 18, 126, 43, 151, 87, 195, 61, 169, 27, 135, 10, 118)(5, 113, 14, 122, 34, 142, 74, 182, 80, 188, 68, 176, 31, 139, 67, 175, 85, 193, 42, 150, 17, 125, 15, 123)(7, 115, 19, 127, 13, 121, 33, 141, 71, 179, 83, 191, 41, 149, 82, 190, 69, 177, 96, 204, 48, 156, 20, 128)(8, 116, 21, 129, 50, 158, 97, 205, 66, 174, 30, 138, 11, 119, 29, 137, 62, 170, 81, 189, 40, 148, 22, 130)(24, 132, 56, 164, 28, 136, 47, 155, 90, 198, 106, 214, 102, 210, 72, 180, 94, 202, 46, 154, 89, 197, 57, 165)(25, 133, 52, 160, 88, 196, 63, 171, 91, 199, 59, 167, 26, 134, 53, 161, 99, 207, 108, 216, 101, 209, 58, 166)(35, 143, 75, 183, 38, 146, 77, 185, 93, 201, 45, 153, 92, 200, 49, 157, 84, 192, 103, 211, 105, 213, 73, 181)(36, 144, 51, 159, 98, 206, 54, 162, 100, 208, 65, 173, 37, 145, 76, 184, 86, 194, 107, 215, 104, 212, 64, 172)(217, 325)(218, 326)(219, 327)(220, 328)(221, 329)(222, 330)(223, 331)(224, 332)(225, 333)(226, 334)(227, 335)(228, 336)(229, 337)(230, 338)(231, 339)(232, 340)(233, 341)(234, 342)(235, 343)(236, 344)(237, 345)(238, 346)(239, 347)(240, 348)(241, 349)(242, 350)(243, 351)(244, 352)(245, 353)(246, 354)(247, 355)(248, 356)(249, 357)(250, 358)(251, 359)(252, 360)(253, 361)(254, 362)(255, 363)(256, 364)(257, 365)(258, 366)(259, 367)(260, 368)(261, 369)(262, 370)(263, 371)(264, 372)(265, 373)(266, 374)(267, 375)(268, 376)(269, 377)(270, 378)(271, 379)(272, 380)(273, 381)(274, 382)(275, 383)(276, 384)(277, 385)(278, 386)(279, 387)(280, 388)(281, 389)(282, 390)(283, 391)(284, 392)(285, 393)(286, 394)(287, 395)(288, 396)(289, 397)(290, 398)(291, 399)(292, 400)(293, 401)(294, 402)(295, 403)(296, 404)(297, 405)(298, 406)(299, 407)(300, 408)(301, 409)(302, 410)(303, 411)(304, 412)(305, 413)(306, 414)(307, 415)(308, 416)(309, 417)(310, 418)(311, 419)(312, 420)(313, 421)(314, 422)(315, 423)(316, 424)(317, 425)(318, 426)(319, 427)(320, 428)(321, 429)(322, 430)(323, 431)(324, 432)
	L = (1, 219)(2, 223)(3, 221)(4, 227)(5, 217)(6, 233)(7, 224)(8, 218)(9, 240)(10, 242)(11, 229)(12, 247)(13, 220)(14, 251)(15, 253)(16, 256)(17, 234)(18, 222)(19, 261)(20, 263)(21, 267)(22, 269)(23, 228)(24, 241)(25, 225)(26, 244)(27, 276)(28, 226)(29, 279)(30, 281)(31, 239)(32, 285)(33, 288)(34, 243)(35, 252)(36, 230)(37, 254)(38, 231)(39, 295)(40, 257)(41, 232)(42, 300)(43, 304)(44, 306)(45, 262)(46, 235)(47, 265)(48, 311)(49, 236)(50, 264)(51, 268)(52, 237)(53, 270)(54, 238)(55, 317)(56, 299)(57, 293)(58, 292)(59, 246)(60, 250)(61, 310)(62, 248)(63, 280)(64, 245)(65, 275)(66, 294)(67, 314)(68, 309)(69, 278)(70, 303)(71, 282)(72, 289)(73, 249)(74, 320)(75, 322)(76, 313)(77, 298)(78, 287)(79, 296)(80, 255)(81, 323)(82, 273)(83, 319)(84, 302)(85, 286)(86, 258)(87, 301)(88, 305)(89, 259)(90, 307)(91, 260)(92, 290)(93, 316)(94, 315)(95, 266)(96, 291)(97, 274)(98, 321)(99, 277)(100, 284)(101, 318)(102, 271)(103, 272)(104, 308)(105, 283)(106, 312)(107, 324)(108, 297)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.2410
Graph:: simple bipartite
	v = 117 e = 216 f = 45
	degree seq :: [ 2^108, 24^9 ]

E28.2417 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) : C4 (small group id <108, 15>)
Aut   = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y1^-2 * Y3)^2, (Y3 * Y2^-1)^3, Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1, Y3 * Y1^2 * Y3 * Y1 * Y3 * Y1^2 * Y3 * Y1^-1, Y3 * Y1^4 * Y3^-1 * Y1^-4, (Y1^-2 * Y3^-1 * Y1^-1)^4 ]
Map::
	R = (1, 109, 2, 110, 6, 114, 16, 124, 39, 147, 78, 186, 56, 164, 93, 201, 67, 175, 30, 138, 12, 120, 4, 112)(3, 111, 9, 117, 23, 131, 55, 163, 79, 187, 70, 178, 31, 139, 69, 177, 90, 198, 44, 152, 18, 126, 10, 118)(5, 113, 14, 122, 29, 137, 65, 173, 80, 188, 43, 151, 17, 125, 42, 150, 84, 192, 77, 185, 37, 145, 15, 123)(7, 115, 19, 127, 45, 153, 92, 200, 73, 181, 33, 141, 13, 121, 32, 140, 66, 174, 83, 191, 41, 149, 20, 128)(8, 116, 21, 129, 11, 119, 28, 136, 63, 171, 82, 190, 40, 148, 81, 189, 68, 176, 100, 208, 53, 161, 22, 130)(24, 132, 47, 155, 94, 202, 48, 156, 95, 203, 62, 170, 27, 135, 61, 169, 89, 197, 108, 216, 101, 209, 57, 165)(25, 133, 58, 166, 26, 134, 60, 168, 99, 207, 51, 159, 98, 206, 52, 160, 91, 199, 106, 214, 103, 211, 59, 167)(34, 142, 46, 154, 86, 194, 71, 179, 87, 195, 72, 180, 38, 146, 49, 157, 96, 204, 107, 215, 105, 213, 74, 182)(35, 143, 75, 183, 36, 144, 54, 162, 88, 196, 102, 210, 104, 212, 64, 172, 97, 205, 50, 158, 85, 193, 76, 184)(217, 325)(218, 326)(219, 327)(220, 328)(221, 329)(222, 330)(223, 331)(224, 332)(225, 333)(226, 334)(227, 335)(228, 336)(229, 337)(230, 338)(231, 339)(232, 340)(233, 341)(234, 342)(235, 343)(236, 344)(237, 345)(238, 346)(239, 347)(240, 348)(241, 349)(242, 350)(243, 351)(244, 352)(245, 353)(246, 354)(247, 355)(248, 356)(249, 357)(250, 358)(251, 359)(252, 360)(253, 361)(254, 362)(255, 363)(256, 364)(257, 365)(258, 366)(259, 367)(260, 368)(261, 369)(262, 370)(263, 371)(264, 372)(265, 373)(266, 374)(267, 375)(268, 376)(269, 377)(270, 378)(271, 379)(272, 380)(273, 381)(274, 382)(275, 383)(276, 384)(277, 385)(278, 386)(279, 387)(280, 388)(281, 389)(282, 390)(283, 391)(284, 392)(285, 393)(286, 394)(287, 395)(288, 396)(289, 397)(290, 398)(291, 399)(292, 400)(293, 401)(294, 402)(295, 403)(296, 404)(297, 405)(298, 406)(299, 407)(300, 408)(301, 409)(302, 410)(303, 411)(304, 412)(305, 413)(306, 414)(307, 415)(308, 416)(309, 417)(310, 418)(311, 419)(312, 420)(313, 421)(314, 422)(315, 423)(316, 424)(317, 425)(318, 426)(319, 427)(320, 428)(321, 429)(322, 430)(323, 431)(324, 432)
	L = (1, 219)(2, 223)(3, 221)(4, 227)(5, 217)(6, 233)(7, 224)(8, 218)(9, 240)(10, 242)(11, 229)(12, 245)(13, 220)(14, 250)(15, 252)(16, 256)(17, 234)(18, 222)(19, 262)(20, 264)(21, 266)(22, 268)(23, 272)(24, 241)(25, 225)(26, 243)(27, 226)(28, 275)(29, 247)(30, 282)(31, 228)(32, 273)(33, 288)(34, 251)(35, 230)(36, 254)(37, 239)(38, 231)(39, 295)(40, 257)(41, 232)(42, 301)(43, 303)(44, 305)(45, 309)(46, 263)(47, 235)(48, 265)(49, 236)(50, 267)(51, 237)(52, 270)(53, 261)(54, 238)(55, 314)(56, 253)(57, 287)(58, 316)(59, 280)(60, 292)(61, 290)(62, 249)(63, 294)(64, 244)(65, 320)(66, 284)(67, 306)(68, 246)(69, 319)(70, 311)(71, 248)(72, 278)(73, 279)(74, 308)(75, 322)(76, 297)(77, 312)(78, 289)(79, 296)(80, 255)(81, 276)(82, 291)(83, 323)(84, 283)(85, 302)(86, 258)(87, 304)(88, 259)(89, 307)(90, 300)(91, 260)(92, 277)(93, 269)(94, 285)(95, 315)(96, 313)(97, 293)(98, 317)(99, 286)(100, 318)(101, 271)(102, 274)(103, 310)(104, 321)(105, 281)(106, 298)(107, 324)(108, 299)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.2409
Graph:: simple bipartite
	v = 117 e = 216 f = 45
	degree seq :: [ 2^108, 24^9 ]

E28.2418 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 12, 12})
Quotient :: edge
Aut^+ = C3 x C3 x (C3 : C4) (small group id <108, 32>)
Aut   = (C3 x C3 x (C3 : C4)) : C2 (small group id <216, 129>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2 * T1^-1 * T2^-2 * T1 * T2, (T1, T2, T1), T2^12, (T2^-1 * T1^-1)^12 ]
Map:: non-degenerate
	R = (1, 3, 9, 24, 47, 66, 84, 75, 57, 35, 15, 5)(2, 6, 17, 38, 59, 77, 94, 81, 63, 43, 21, 7)(4, 11, 25, 49, 67, 86, 100, 90, 72, 54, 32, 12)(8, 22, 44, 64, 82, 98, 91, 73, 55, 33, 13, 23)(10, 26, 48, 68, 85, 101, 92, 74, 56, 34, 14, 27)(16, 36, 58, 76, 93, 105, 96, 79, 61, 41, 19, 37)(18, 39, 60, 78, 95, 106, 97, 80, 62, 42, 20, 40)(28, 45, 65, 83, 99, 107, 103, 88, 70, 52, 30, 46)(29, 50, 69, 87, 102, 108, 104, 89, 71, 53, 31, 51)(109, 110, 112)(111, 116, 118)(113, 121, 122)(114, 124, 126)(115, 127, 128)(117, 125, 133)(119, 136, 137)(120, 138, 139)(123, 129, 140)(130, 144, 153)(131, 145, 154)(132, 152, 156)(134, 147, 158)(135, 148, 159)(141, 149, 160)(142, 150, 161)(143, 163, 164)(146, 166, 168)(151, 169, 170)(155, 167, 175)(157, 173, 177)(162, 178, 179)(165, 171, 180)(172, 184, 191)(174, 190, 193)(176, 186, 195)(181, 187, 196)(182, 188, 197)(183, 199, 200)(185, 201, 203)(189, 204, 205)(192, 202, 208)(194, 207, 210)(198, 211, 212)(206, 213, 215)(209, 214, 216)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 24^3 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2419
Transitivity :: ET+
Graph:: simple bipartite
	v = 45 e = 108 f = 9
	degree seq :: [ 3^36, 12^9 ]

E28.2419 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 12, 12})
Quotient :: loop
Aut^+ = C3 x C3 x (C3 : C4) (small group id <108, 32>)
Aut   = (C3 x C3 x (C3 : C4)) : C2 (small group id <216, 129>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2 * T1^-1 * T2^-2 * T1 * T2, (T1, T2, T1), T2^12, (T2^-1 * T1^-1)^12 ]
Map:: non-degenerate
	R = (1, 109, 3, 111, 9, 117, 24, 132, 47, 155, 66, 174, 84, 192, 75, 183, 57, 165, 35, 143, 15, 123, 5, 113)(2, 110, 6, 114, 17, 125, 38, 146, 59, 167, 77, 185, 94, 202, 81, 189, 63, 171, 43, 151, 21, 129, 7, 115)(4, 112, 11, 119, 25, 133, 49, 157, 67, 175, 86, 194, 100, 208, 90, 198, 72, 180, 54, 162, 32, 140, 12, 120)(8, 116, 22, 130, 44, 152, 64, 172, 82, 190, 98, 206, 91, 199, 73, 181, 55, 163, 33, 141, 13, 121, 23, 131)(10, 118, 26, 134, 48, 156, 68, 176, 85, 193, 101, 209, 92, 200, 74, 182, 56, 164, 34, 142, 14, 122, 27, 135)(16, 124, 36, 144, 58, 166, 76, 184, 93, 201, 105, 213, 96, 204, 79, 187, 61, 169, 41, 149, 19, 127, 37, 145)(18, 126, 39, 147, 60, 168, 78, 186, 95, 203, 106, 214, 97, 205, 80, 188, 62, 170, 42, 150, 20, 128, 40, 148)(28, 136, 45, 153, 65, 173, 83, 191, 99, 207, 107, 215, 103, 211, 88, 196, 70, 178, 52, 160, 30, 138, 46, 154)(29, 137, 50, 158, 69, 177, 87, 195, 102, 210, 108, 216, 104, 212, 89, 197, 71, 179, 53, 161, 31, 139, 51, 159)
	L = (1, 110)(2, 112)(3, 116)(4, 109)(5, 121)(6, 124)(7, 127)(8, 118)(9, 125)(10, 111)(11, 136)(12, 138)(13, 122)(14, 113)(15, 129)(16, 126)(17, 133)(18, 114)(19, 128)(20, 115)(21, 140)(22, 144)(23, 145)(24, 152)(25, 117)(26, 147)(27, 148)(28, 137)(29, 119)(30, 139)(31, 120)(32, 123)(33, 149)(34, 150)(35, 163)(36, 153)(37, 154)(38, 166)(39, 158)(40, 159)(41, 160)(42, 161)(43, 169)(44, 156)(45, 130)(46, 131)(47, 167)(48, 132)(49, 173)(50, 134)(51, 135)(52, 141)(53, 142)(54, 178)(55, 164)(56, 143)(57, 171)(58, 168)(59, 175)(60, 146)(61, 170)(62, 151)(63, 180)(64, 184)(65, 177)(66, 190)(67, 155)(68, 186)(69, 157)(70, 179)(71, 162)(72, 165)(73, 187)(74, 188)(75, 199)(76, 191)(77, 201)(78, 195)(79, 196)(80, 197)(81, 204)(82, 193)(83, 172)(84, 202)(85, 174)(86, 207)(87, 176)(88, 181)(89, 182)(90, 211)(91, 200)(92, 183)(93, 203)(94, 208)(95, 185)(96, 205)(97, 189)(98, 213)(99, 210)(100, 192)(101, 214)(102, 194)(103, 212)(104, 198)(105, 215)(106, 216)(107, 206)(108, 209)
	local type(s) :: { ( 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2418
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 108 f = 45
	degree seq :: [ 24^9 ]

E28.2420 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 12})
Quotient :: dipole
Aut^+ = C3 x C3 x (C3 : C4) (small group id <108, 32>)
Aut   = (C3 x C3 x (C3 : C4)) : C2 (small group id <216, 129>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * Y2^-2 * Y1 * Y2, Y3 * Y2^2 * Y3^-1 * Y2^-2, (Y2^-1 * R * Y2^-1)^2, Y2^-1 * Y3 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1, Y2 * Y3 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y3^-1, Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2, (Y1^-1, Y2, Y1^-1), Y2^12, (Y2^-1 * Y3)^12 ]
Map::
	R = (1, 109, 2, 110, 4, 112)(3, 111, 8, 116, 10, 118)(5, 113, 13, 121, 14, 122)(6, 114, 16, 124, 18, 126)(7, 115, 19, 127, 20, 128)(9, 117, 17, 125, 25, 133)(11, 119, 28, 136, 29, 137)(12, 120, 30, 138, 31, 139)(15, 123, 21, 129, 32, 140)(22, 130, 36, 144, 45, 153)(23, 131, 37, 145, 46, 154)(24, 132, 44, 152, 48, 156)(26, 134, 39, 147, 50, 158)(27, 135, 40, 148, 51, 159)(33, 141, 41, 149, 52, 160)(34, 142, 42, 150, 53, 161)(35, 143, 55, 163, 56, 164)(38, 146, 58, 166, 60, 168)(43, 151, 61, 169, 62, 170)(47, 155, 59, 167, 67, 175)(49, 157, 65, 173, 69, 177)(54, 162, 70, 178, 71, 179)(57, 165, 63, 171, 72, 180)(64, 172, 76, 184, 83, 191)(66, 174, 82, 190, 85, 193)(68, 176, 78, 186, 87, 195)(73, 181, 79, 187, 88, 196)(74, 182, 80, 188, 89, 197)(75, 183, 91, 199, 92, 200)(77, 185, 93, 201, 95, 203)(81, 189, 96, 204, 97, 205)(84, 192, 94, 202, 100, 208)(86, 194, 99, 207, 102, 210)(90, 198, 103, 211, 104, 212)(98, 206, 105, 213, 107, 215)(101, 209, 106, 214, 108, 216)(217, 325, 219, 327, 225, 333, 240, 348, 263, 371, 282, 390, 300, 408, 291, 399, 273, 381, 251, 359, 231, 339, 221, 329)(218, 326, 222, 330, 233, 341, 254, 362, 275, 383, 293, 401, 310, 418, 297, 405, 279, 387, 259, 367, 237, 345, 223, 331)(220, 328, 227, 335, 241, 349, 265, 373, 283, 391, 302, 410, 316, 424, 306, 414, 288, 396, 270, 378, 248, 356, 228, 336)(224, 332, 238, 346, 260, 368, 280, 388, 298, 406, 314, 422, 307, 415, 289, 397, 271, 379, 249, 357, 229, 337, 239, 347)(226, 334, 242, 350, 264, 372, 284, 392, 301, 409, 317, 425, 308, 416, 290, 398, 272, 380, 250, 358, 230, 338, 243, 351)(232, 340, 252, 360, 274, 382, 292, 400, 309, 417, 321, 429, 312, 420, 295, 403, 277, 385, 257, 365, 235, 343, 253, 361)(234, 342, 255, 363, 276, 384, 294, 402, 311, 419, 322, 430, 313, 421, 296, 404, 278, 386, 258, 366, 236, 344, 256, 364)(244, 352, 261, 369, 281, 389, 299, 407, 315, 423, 323, 431, 319, 427, 304, 412, 286, 394, 268, 376, 246, 354, 262, 370)(245, 353, 266, 374, 285, 393, 303, 411, 318, 426, 324, 432, 320, 428, 305, 413, 287, 395, 269, 377, 247, 355, 267, 375)
	L = (1, 220)(2, 217)(3, 226)(4, 218)(5, 230)(6, 234)(7, 236)(8, 219)(9, 241)(10, 224)(11, 245)(12, 247)(13, 221)(14, 229)(15, 248)(16, 222)(17, 225)(18, 232)(19, 223)(20, 235)(21, 231)(22, 261)(23, 262)(24, 264)(25, 233)(26, 266)(27, 267)(28, 227)(29, 244)(30, 228)(31, 246)(32, 237)(33, 268)(34, 269)(35, 272)(36, 238)(37, 239)(38, 276)(39, 242)(40, 243)(41, 249)(42, 250)(43, 278)(44, 240)(45, 252)(46, 253)(47, 283)(48, 260)(49, 285)(50, 255)(51, 256)(52, 257)(53, 258)(54, 287)(55, 251)(56, 271)(57, 288)(58, 254)(59, 263)(60, 274)(61, 259)(62, 277)(63, 273)(64, 299)(65, 265)(66, 301)(67, 275)(68, 303)(69, 281)(70, 270)(71, 286)(72, 279)(73, 304)(74, 305)(75, 308)(76, 280)(77, 311)(78, 284)(79, 289)(80, 290)(81, 313)(82, 282)(83, 292)(84, 316)(85, 298)(86, 318)(87, 294)(88, 295)(89, 296)(90, 320)(91, 291)(92, 307)(93, 293)(94, 300)(95, 309)(96, 297)(97, 312)(98, 323)(99, 302)(100, 310)(101, 324)(102, 315)(103, 306)(104, 319)(105, 314)(106, 317)(107, 321)(108, 322)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.2421
Graph:: bipartite
	v = 45 e = 216 f = 117
	degree seq :: [ 6^36, 24^9 ]

E28.2421 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 12})
Quotient :: dipole
Aut^+ = C3 x C3 x (C3 : C4) (small group id <108, 32>)
Aut   = (C3 x C3 x (C3 : C4)) : C2 (small group id <216, 129>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y1^-2 * Y3 * Y1, (Y3 * Y2^-1)^3, Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1, Y1^-1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1, Y1^12, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map::
	R = (1, 109, 2, 110, 6, 114, 16, 124, 36, 144, 58, 166, 76, 184, 72, 180, 54, 162, 29, 137, 12, 120, 4, 112)(3, 111, 9, 117, 17, 125, 39, 147, 59, 167, 79, 187, 93, 201, 86, 194, 68, 176, 50, 158, 26, 134, 10, 118)(5, 113, 14, 122, 18, 126, 40, 148, 60, 168, 80, 188, 94, 202, 91, 199, 73, 181, 56, 164, 30, 138, 15, 123)(7, 115, 19, 127, 37, 145, 61, 169, 77, 185, 95, 203, 88, 196, 70, 178, 52, 160, 28, 136, 11, 119, 20, 128)(8, 116, 21, 129, 38, 146, 62, 170, 78, 186, 96, 204, 90, 198, 74, 182, 55, 163, 31, 139, 13, 121, 22, 130)(23, 131, 41, 149, 63, 171, 81, 189, 97, 205, 105, 213, 101, 209, 85, 193, 67, 175, 49, 157, 25, 133, 43, 151)(24, 132, 45, 153, 64, 172, 83, 191, 98, 206, 107, 215, 102, 210, 87, 195, 69, 177, 51, 159, 27, 135, 47, 155)(32, 140, 42, 150, 65, 173, 82, 190, 99, 207, 106, 214, 103, 211, 89, 197, 71, 179, 53, 161, 34, 142, 44, 152)(33, 141, 46, 154, 66, 174, 84, 192, 100, 208, 108, 216, 104, 212, 92, 200, 75, 183, 57, 165, 35, 143, 48, 156)(217, 325)(218, 326)(219, 327)(220, 328)(221, 329)(222, 330)(223, 331)(224, 332)(225, 333)(226, 334)(227, 335)(228, 336)(229, 337)(230, 338)(231, 339)(232, 340)(233, 341)(234, 342)(235, 343)(236, 344)(237, 345)(238, 346)(239, 347)(240, 348)(241, 349)(242, 350)(243, 351)(244, 352)(245, 353)(246, 354)(247, 355)(248, 356)(249, 357)(250, 358)(251, 359)(252, 360)(253, 361)(254, 362)(255, 363)(256, 364)(257, 365)(258, 366)(259, 367)(260, 368)(261, 369)(262, 370)(263, 371)(264, 372)(265, 373)(266, 374)(267, 375)(268, 376)(269, 377)(270, 378)(271, 379)(272, 380)(273, 381)(274, 382)(275, 383)(276, 384)(277, 385)(278, 386)(279, 387)(280, 388)(281, 389)(282, 390)(283, 391)(284, 392)(285, 393)(286, 394)(287, 395)(288, 396)(289, 397)(290, 398)(291, 399)(292, 400)(293, 401)(294, 402)(295, 403)(296, 404)(297, 405)(298, 406)(299, 407)(300, 408)(301, 409)(302, 410)(303, 411)(304, 412)(305, 413)(306, 414)(307, 415)(308, 416)(309, 417)(310, 418)(311, 419)(312, 420)(313, 421)(314, 422)(315, 423)(316, 424)(317, 425)(318, 426)(319, 427)(320, 428)(321, 429)(322, 430)(323, 431)(324, 432)
	L = (1, 219)(2, 223)(3, 221)(4, 227)(5, 217)(6, 233)(7, 224)(8, 218)(9, 239)(10, 241)(11, 229)(12, 242)(13, 220)(14, 248)(15, 250)(16, 253)(17, 234)(18, 222)(19, 257)(20, 259)(21, 261)(22, 263)(23, 240)(24, 225)(25, 243)(26, 246)(27, 226)(28, 265)(29, 268)(30, 228)(31, 267)(32, 249)(33, 230)(34, 251)(35, 231)(36, 275)(37, 254)(38, 232)(39, 279)(40, 281)(41, 258)(42, 235)(43, 260)(44, 236)(45, 262)(46, 237)(47, 264)(48, 238)(49, 269)(50, 283)(51, 273)(52, 271)(53, 244)(54, 284)(55, 245)(56, 287)(57, 247)(58, 293)(59, 276)(60, 252)(61, 297)(62, 299)(63, 280)(64, 255)(65, 282)(66, 256)(67, 285)(68, 289)(69, 266)(70, 301)(71, 291)(72, 304)(73, 270)(74, 303)(75, 272)(76, 309)(77, 294)(78, 274)(79, 313)(80, 315)(81, 298)(82, 277)(83, 300)(84, 278)(85, 305)(86, 317)(87, 308)(88, 306)(89, 286)(90, 288)(91, 319)(92, 290)(93, 310)(94, 292)(95, 321)(96, 323)(97, 314)(98, 295)(99, 316)(100, 296)(101, 318)(102, 302)(103, 320)(104, 307)(105, 322)(106, 311)(107, 324)(108, 312)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.2420
Graph:: simple bipartite
	v = 117 e = 216 f = 45
	degree seq :: [ 2^108, 24^9 ]

E28.2422 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 12, 12})
Quotient :: edge
Aut^+ = C3 x ((C3 x C3) : C4) (small group id <108, 36>)
Aut   = (C3 x ((C3 x C3) : C4)) : C2 (small group id <216, 159>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^-1 * T1^-1 * T2^2 * T1^-1 * T2^-1, T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1, T2^12, (T1 * T2^-3)^4 ]
Map:: non-degenerate
	R = (1, 3, 9, 25, 49, 69, 87, 75, 57, 35, 15, 5)(2, 6, 17, 38, 60, 78, 95, 81, 63, 43, 21, 7)(4, 11, 24, 47, 67, 85, 101, 90, 72, 54, 32, 12)(8, 22, 45, 65, 83, 99, 92, 74, 56, 34, 14, 23)(10, 26, 48, 68, 86, 102, 91, 73, 55, 33, 13, 27)(16, 36, 58, 76, 93, 105, 97, 80, 62, 42, 20, 37)(18, 39, 59, 77, 94, 106, 96, 79, 61, 41, 19, 40)(28, 44, 64, 82, 98, 107, 104, 89, 71, 53, 31, 46)(29, 50, 66, 84, 100, 108, 103, 88, 70, 52, 30, 51)(109, 110, 112)(111, 116, 118)(113, 121, 122)(114, 124, 126)(115, 127, 128)(117, 132, 125)(119, 136, 137)(120, 138, 139)(123, 140, 129)(130, 152, 144)(131, 145, 154)(133, 156, 153)(134, 158, 147)(135, 148, 159)(141, 160, 149)(142, 161, 150)(143, 164, 163)(146, 167, 166)(151, 170, 169)(155, 174, 172)(157, 168, 175)(162, 179, 178)(165, 171, 180)(173, 184, 190)(176, 185, 192)(177, 191, 194)(181, 187, 196)(182, 188, 197)(183, 199, 200)(186, 201, 202)(189, 204, 205)(193, 206, 208)(195, 209, 203)(198, 211, 212)(207, 215, 213)(210, 216, 214)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 24^3 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2424
Transitivity :: ET+
Graph:: simple bipartite
	v = 45 e = 108 f = 9
	degree seq :: [ 3^36, 12^9 ]

E28.2423 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 12, 12})
Quotient :: edge
Aut^+ = C3 x ((C3 x C3) : C4) (small group id <108, 36>)
Aut   = (C3 x ((C3 x C3) : C4)) : C2 (small group id <216, 159>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, (T2^-1 * T1^-1 * T2^-1)^2, (T1^-1, T2, T1), (T2 * T1^-1)^4, T2^4 * T1 * T2^-4 * T1^-1, T2^2 * T1^-1 * T2^6 * T1^-1, T2^-2 * T1^-1 * T2^2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 25, 55, 88, 47, 87, 75, 38, 15, 5)(2, 6, 17, 41, 80, 58, 26, 57, 90, 48, 21, 7)(4, 11, 30, 63, 95, 73, 37, 72, 94, 53, 24, 12)(8, 22, 14, 36, 71, 97, 56, 96, 74, 76, 52, 23)(10, 27, 60, 99, 70, 35, 13, 34, 68, 82, 54, 28)(16, 39, 20, 46, 86, 50, 81, 105, 89, 100, 78, 40)(18, 42, 83, 106, 85, 45, 19, 44, 84, 69, 79, 43)(29, 62, 33, 67, 104, 77, 101, 107, 92, 49, 91, 51)(31, 64, 102, 108, 103, 66, 32, 65, 93, 59, 98, 61)(109, 110, 112)(111, 116, 118)(113, 121, 122)(114, 124, 126)(115, 127, 128)(117, 132, 134)(119, 137, 139)(120, 140, 141)(123, 145, 125)(129, 155, 138)(130, 157, 158)(131, 148, 159)(133, 162, 164)(135, 167, 153)(136, 151, 169)(142, 152, 173)(143, 172, 177)(144, 154, 175)(146, 182, 176)(147, 184, 185)(149, 187, 189)(150, 190, 174)(156, 197, 192)(160, 195, 168)(161, 200, 201)(163, 188, 203)(165, 191, 186)(166, 194, 193)(170, 208, 205)(171, 206, 209)(178, 196, 179)(180, 210, 199)(181, 212, 211)(183, 198, 202)(204, 213, 215)(207, 214, 216)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 24^3 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2425
Transitivity :: ET+
Graph:: simple bipartite
	v = 45 e = 108 f = 9
	degree seq :: [ 3^36, 12^9 ]

E28.2424 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 12, 12})
Quotient :: loop
Aut^+ = C3 x ((C3 x C3) : C4) (small group id <108, 36>)
Aut   = (C3 x ((C3 x C3) : C4)) : C2 (small group id <216, 159>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^-1 * T1^-1 * T2^2 * T1^-1 * T2^-1, T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1, T2^12, (T1 * T2^-3)^4 ]
Map:: non-degenerate
	R = (1, 109, 3, 111, 9, 117, 25, 133, 49, 157, 69, 177, 87, 195, 75, 183, 57, 165, 35, 143, 15, 123, 5, 113)(2, 110, 6, 114, 17, 125, 38, 146, 60, 168, 78, 186, 95, 203, 81, 189, 63, 171, 43, 151, 21, 129, 7, 115)(4, 112, 11, 119, 24, 132, 47, 155, 67, 175, 85, 193, 101, 209, 90, 198, 72, 180, 54, 162, 32, 140, 12, 120)(8, 116, 22, 130, 45, 153, 65, 173, 83, 191, 99, 207, 92, 200, 74, 182, 56, 164, 34, 142, 14, 122, 23, 131)(10, 118, 26, 134, 48, 156, 68, 176, 86, 194, 102, 210, 91, 199, 73, 181, 55, 163, 33, 141, 13, 121, 27, 135)(16, 124, 36, 144, 58, 166, 76, 184, 93, 201, 105, 213, 97, 205, 80, 188, 62, 170, 42, 150, 20, 128, 37, 145)(18, 126, 39, 147, 59, 167, 77, 185, 94, 202, 106, 214, 96, 204, 79, 187, 61, 169, 41, 149, 19, 127, 40, 148)(28, 136, 44, 152, 64, 172, 82, 190, 98, 206, 107, 215, 104, 212, 89, 197, 71, 179, 53, 161, 31, 139, 46, 154)(29, 137, 50, 158, 66, 174, 84, 192, 100, 208, 108, 216, 103, 211, 88, 196, 70, 178, 52, 160, 30, 138, 51, 159)
	L = (1, 110)(2, 112)(3, 116)(4, 109)(5, 121)(6, 124)(7, 127)(8, 118)(9, 132)(10, 111)(11, 136)(12, 138)(13, 122)(14, 113)(15, 140)(16, 126)(17, 117)(18, 114)(19, 128)(20, 115)(21, 123)(22, 152)(23, 145)(24, 125)(25, 156)(26, 158)(27, 148)(28, 137)(29, 119)(30, 139)(31, 120)(32, 129)(33, 160)(34, 161)(35, 164)(36, 130)(37, 154)(38, 167)(39, 134)(40, 159)(41, 141)(42, 142)(43, 170)(44, 144)(45, 133)(46, 131)(47, 174)(48, 153)(49, 168)(50, 147)(51, 135)(52, 149)(53, 150)(54, 179)(55, 143)(56, 163)(57, 171)(58, 146)(59, 166)(60, 175)(61, 151)(62, 169)(63, 180)(64, 155)(65, 184)(66, 172)(67, 157)(68, 185)(69, 191)(70, 162)(71, 178)(72, 165)(73, 187)(74, 188)(75, 199)(76, 190)(77, 192)(78, 201)(79, 196)(80, 197)(81, 204)(82, 173)(83, 194)(84, 176)(85, 206)(86, 177)(87, 209)(88, 181)(89, 182)(90, 211)(91, 200)(92, 183)(93, 202)(94, 186)(95, 195)(96, 205)(97, 189)(98, 208)(99, 215)(100, 193)(101, 203)(102, 216)(103, 212)(104, 198)(105, 207)(106, 210)(107, 213)(108, 214)
	local type(s) :: { ( 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2422
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 108 f = 45
	degree seq :: [ 24^9 ]

E28.2425 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 12, 12})
Quotient :: loop
Aut^+ = C3 x ((C3 x C3) : C4) (small group id <108, 36>)
Aut   = (C3 x ((C3 x C3) : C4)) : C2 (small group id <216, 159>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, (T2^-1 * T1^-1 * T2^-1)^2, (T1^-1, T2, T1), (T2 * T1^-1)^4, T2^4 * T1 * T2^-4 * T1^-1, T2^2 * T1^-1 * T2^6 * T1^-1, T2^-2 * T1^-1 * T2^2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 109, 3, 111, 9, 117, 25, 133, 55, 163, 88, 196, 47, 155, 87, 195, 75, 183, 38, 146, 15, 123, 5, 113)(2, 110, 6, 114, 17, 125, 41, 149, 80, 188, 58, 166, 26, 134, 57, 165, 90, 198, 48, 156, 21, 129, 7, 115)(4, 112, 11, 119, 30, 138, 63, 171, 95, 203, 73, 181, 37, 145, 72, 180, 94, 202, 53, 161, 24, 132, 12, 120)(8, 116, 22, 130, 14, 122, 36, 144, 71, 179, 97, 205, 56, 164, 96, 204, 74, 182, 76, 184, 52, 160, 23, 131)(10, 118, 27, 135, 60, 168, 99, 207, 70, 178, 35, 143, 13, 121, 34, 142, 68, 176, 82, 190, 54, 162, 28, 136)(16, 124, 39, 147, 20, 128, 46, 154, 86, 194, 50, 158, 81, 189, 105, 213, 89, 197, 100, 208, 78, 186, 40, 148)(18, 126, 42, 150, 83, 191, 106, 214, 85, 193, 45, 153, 19, 127, 44, 152, 84, 192, 69, 177, 79, 187, 43, 151)(29, 137, 62, 170, 33, 141, 67, 175, 104, 212, 77, 185, 101, 209, 107, 215, 92, 200, 49, 157, 91, 199, 51, 159)(31, 139, 64, 172, 102, 210, 108, 216, 103, 211, 66, 174, 32, 140, 65, 173, 93, 201, 59, 167, 98, 206, 61, 169)
	L = (1, 110)(2, 112)(3, 116)(4, 109)(5, 121)(6, 124)(7, 127)(8, 118)(9, 132)(10, 111)(11, 137)(12, 140)(13, 122)(14, 113)(15, 145)(16, 126)(17, 123)(18, 114)(19, 128)(20, 115)(21, 155)(22, 157)(23, 148)(24, 134)(25, 162)(26, 117)(27, 167)(28, 151)(29, 139)(30, 129)(31, 119)(32, 141)(33, 120)(34, 152)(35, 172)(36, 154)(37, 125)(38, 182)(39, 184)(40, 159)(41, 187)(42, 190)(43, 169)(44, 173)(45, 135)(46, 175)(47, 138)(48, 197)(49, 158)(50, 130)(51, 131)(52, 195)(53, 200)(54, 164)(55, 188)(56, 133)(57, 191)(58, 194)(59, 153)(60, 160)(61, 136)(62, 208)(63, 206)(64, 177)(65, 142)(66, 150)(67, 144)(68, 146)(69, 143)(70, 196)(71, 178)(72, 210)(73, 212)(74, 176)(75, 198)(76, 185)(77, 147)(78, 165)(79, 189)(80, 203)(81, 149)(82, 174)(83, 186)(84, 156)(85, 166)(86, 193)(87, 168)(88, 179)(89, 192)(90, 202)(91, 180)(92, 201)(93, 161)(94, 183)(95, 163)(96, 213)(97, 170)(98, 209)(99, 214)(100, 205)(101, 171)(102, 199)(103, 181)(104, 211)(105, 215)(106, 216)(107, 204)(108, 207)
	local type(s) :: { ( 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2423
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 108 f = 45
	degree seq :: [ 24^9 ]

E28.2426 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 12})
Quotient :: dipole
Aut^+ = C3 x ((C3 x C3) : C4) (small group id <108, 36>)
Aut   = (C3 x ((C3 x C3) : C4)) : C2 (small group id <216, 159>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^3, (R * Y1)^2, (R * Y3)^2, Y2^-2 * Y3 * Y2^2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y2^-2 * Y1 * Y2, Y2^-1 * Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y2^-1 * Y3^-1, (Y1^-1, Y2^-1, Y1^-1), Y2^-1 * Y1 * Y2 * Y3 * Y2^-1 * Y1^-1 * Y2 * Y3^-1, Y2^12, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 109, 2, 110, 4, 112)(3, 111, 8, 116, 10, 118)(5, 113, 13, 121, 14, 122)(6, 114, 16, 124, 18, 126)(7, 115, 19, 127, 20, 128)(9, 117, 24, 132, 17, 125)(11, 119, 28, 136, 29, 137)(12, 120, 30, 138, 31, 139)(15, 123, 32, 140, 21, 129)(22, 130, 44, 152, 36, 144)(23, 131, 37, 145, 46, 154)(25, 133, 48, 156, 45, 153)(26, 134, 50, 158, 39, 147)(27, 135, 40, 148, 51, 159)(33, 141, 52, 160, 41, 149)(34, 142, 53, 161, 42, 150)(35, 143, 56, 164, 55, 163)(38, 146, 59, 167, 58, 166)(43, 151, 62, 170, 61, 169)(47, 155, 66, 174, 64, 172)(49, 157, 60, 168, 67, 175)(54, 162, 71, 179, 70, 178)(57, 165, 63, 171, 72, 180)(65, 173, 76, 184, 82, 190)(68, 176, 77, 185, 84, 192)(69, 177, 83, 191, 86, 194)(73, 181, 79, 187, 88, 196)(74, 182, 80, 188, 89, 197)(75, 183, 91, 199, 92, 200)(78, 186, 93, 201, 94, 202)(81, 189, 96, 204, 97, 205)(85, 193, 98, 206, 100, 208)(87, 195, 101, 209, 95, 203)(90, 198, 103, 211, 104, 212)(99, 207, 107, 215, 105, 213)(102, 210, 108, 216, 106, 214)(217, 325, 219, 327, 225, 333, 241, 349, 265, 373, 285, 393, 303, 411, 291, 399, 273, 381, 251, 359, 231, 339, 221, 329)(218, 326, 222, 330, 233, 341, 254, 362, 276, 384, 294, 402, 311, 419, 297, 405, 279, 387, 259, 367, 237, 345, 223, 331)(220, 328, 227, 335, 240, 348, 263, 371, 283, 391, 301, 409, 317, 425, 306, 414, 288, 396, 270, 378, 248, 356, 228, 336)(224, 332, 238, 346, 261, 369, 281, 389, 299, 407, 315, 423, 308, 416, 290, 398, 272, 380, 250, 358, 230, 338, 239, 347)(226, 334, 242, 350, 264, 372, 284, 392, 302, 410, 318, 426, 307, 415, 289, 397, 271, 379, 249, 357, 229, 337, 243, 351)(232, 340, 252, 360, 274, 382, 292, 400, 309, 417, 321, 429, 313, 421, 296, 404, 278, 386, 258, 366, 236, 344, 253, 361)(234, 342, 255, 363, 275, 383, 293, 401, 310, 418, 322, 430, 312, 420, 295, 403, 277, 385, 257, 365, 235, 343, 256, 364)(244, 352, 260, 368, 280, 388, 298, 406, 314, 422, 323, 431, 320, 428, 305, 413, 287, 395, 269, 377, 247, 355, 262, 370)(245, 353, 266, 374, 282, 390, 300, 408, 316, 424, 324, 432, 319, 427, 304, 412, 286, 394, 268, 376, 246, 354, 267, 375)
	L = (1, 220)(2, 217)(3, 226)(4, 218)(5, 230)(6, 234)(7, 236)(8, 219)(9, 233)(10, 224)(11, 245)(12, 247)(13, 221)(14, 229)(15, 237)(16, 222)(17, 240)(18, 232)(19, 223)(20, 235)(21, 248)(22, 252)(23, 262)(24, 225)(25, 261)(26, 255)(27, 267)(28, 227)(29, 244)(30, 228)(31, 246)(32, 231)(33, 257)(34, 258)(35, 271)(36, 260)(37, 239)(38, 274)(39, 266)(40, 243)(41, 268)(42, 269)(43, 277)(44, 238)(45, 264)(46, 253)(47, 280)(48, 241)(49, 283)(50, 242)(51, 256)(52, 249)(53, 250)(54, 286)(55, 272)(56, 251)(57, 288)(58, 275)(59, 254)(60, 265)(61, 278)(62, 259)(63, 273)(64, 282)(65, 298)(66, 263)(67, 276)(68, 300)(69, 302)(70, 287)(71, 270)(72, 279)(73, 304)(74, 305)(75, 308)(76, 281)(77, 284)(78, 310)(79, 289)(80, 290)(81, 313)(82, 292)(83, 285)(84, 293)(85, 316)(86, 299)(87, 311)(88, 295)(89, 296)(90, 320)(91, 291)(92, 307)(93, 294)(94, 309)(95, 317)(96, 297)(97, 312)(98, 301)(99, 321)(100, 314)(101, 303)(102, 322)(103, 306)(104, 319)(105, 323)(106, 324)(107, 315)(108, 318)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.2428
Graph:: bipartite
	v = 45 e = 216 f = 117
	degree seq :: [ 6^36, 24^9 ]

E28.2427 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 12})
Quotient :: dipole
Aut^+ = C3 x ((C3 x C3) : C4) (small group id <108, 36>)
Aut   = (C3 x ((C3 x C3) : C4)) : C2 (small group id <216, 159>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y3 * Y1, Y1^2 * Y3^-1, R * Y1^-1 * R * Y3, Y1 * R * Y3^-1 * R, (Y2^-2 * Y1^-1)^2, Y2^-1 * Y3 * Y2^-2 * Y1^-1 * Y2^-1, R * Y2 * Y1 * R * Y2 * Y3^-1, Y3 * Y2^-2 * R * Y2^2 * R * Y3, Y2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1, Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y2^-1 * Y1 * Y2 * Y3 * Y2^-1 * Y1^-1 * Y2 * Y3^-1, Y2 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y3^-1, Y2 * Y1 * Y2 * Y3 * Y2 * Y3^-1 * Y2^-3 * Y1^-1, Y2^6 * Y3 * Y2^2 * Y1^-1, Y2^3 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y1 * Y2 * Y3 * Y2^-3 * Y1 * Y2 * Y1^-1, Y3 * Y2^4 * Y3^-1 * Y2^-4, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 109, 2, 110, 4, 112)(3, 111, 8, 116, 10, 118)(5, 113, 13, 121, 14, 122)(6, 114, 16, 124, 18, 126)(7, 115, 19, 127, 20, 128)(9, 117, 24, 132, 26, 134)(11, 119, 29, 137, 31, 139)(12, 120, 32, 140, 33, 141)(15, 123, 37, 145, 17, 125)(21, 129, 47, 155, 30, 138)(22, 130, 49, 157, 50, 158)(23, 131, 40, 148, 51, 159)(25, 133, 54, 162, 56, 164)(27, 135, 59, 167, 45, 153)(28, 136, 43, 151, 61, 169)(34, 142, 44, 152, 65, 173)(35, 143, 64, 172, 69, 177)(36, 144, 46, 154, 67, 175)(38, 146, 74, 182, 68, 176)(39, 147, 76, 184, 77, 185)(41, 149, 79, 187, 81, 189)(42, 150, 82, 190, 66, 174)(48, 156, 89, 197, 84, 192)(52, 160, 87, 195, 60, 168)(53, 161, 92, 200, 93, 201)(55, 163, 80, 188, 95, 203)(57, 165, 83, 191, 78, 186)(58, 166, 86, 194, 85, 193)(62, 170, 100, 208, 97, 205)(63, 171, 98, 206, 101, 209)(70, 178, 88, 196, 71, 179)(72, 180, 102, 210, 91, 199)(73, 181, 104, 212, 103, 211)(75, 183, 90, 198, 94, 202)(96, 204, 105, 213, 107, 215)(99, 207, 106, 214, 108, 216)(217, 325, 219, 327, 225, 333, 241, 349, 271, 379, 304, 412, 263, 371, 303, 411, 291, 399, 254, 362, 231, 339, 221, 329)(218, 326, 222, 330, 233, 341, 257, 365, 296, 404, 274, 382, 242, 350, 273, 381, 306, 414, 264, 372, 237, 345, 223, 331)(220, 328, 227, 335, 246, 354, 279, 387, 311, 419, 289, 397, 253, 361, 288, 396, 310, 418, 269, 377, 240, 348, 228, 336)(224, 332, 238, 346, 230, 338, 252, 360, 287, 395, 313, 421, 272, 380, 312, 420, 290, 398, 292, 400, 268, 376, 239, 347)(226, 334, 243, 351, 276, 384, 315, 423, 286, 394, 251, 359, 229, 337, 250, 358, 284, 392, 298, 406, 270, 378, 244, 352)(232, 340, 255, 363, 236, 344, 262, 370, 302, 410, 266, 374, 297, 405, 321, 429, 305, 413, 316, 424, 294, 402, 256, 364)(234, 342, 258, 366, 299, 407, 322, 430, 301, 409, 261, 369, 235, 343, 260, 368, 300, 408, 285, 393, 295, 403, 259, 367)(245, 353, 278, 386, 249, 357, 283, 391, 320, 428, 293, 401, 317, 425, 323, 431, 308, 416, 265, 373, 307, 415, 267, 375)(247, 355, 280, 388, 318, 426, 324, 432, 319, 427, 282, 390, 248, 356, 281, 389, 309, 417, 275, 383, 314, 422, 277, 385)
	L = (1, 220)(2, 217)(3, 226)(4, 218)(5, 230)(6, 234)(7, 236)(8, 219)(9, 242)(10, 224)(11, 247)(12, 249)(13, 221)(14, 229)(15, 233)(16, 222)(17, 253)(18, 232)(19, 223)(20, 235)(21, 246)(22, 266)(23, 267)(24, 225)(25, 272)(26, 240)(27, 261)(28, 277)(29, 227)(30, 263)(31, 245)(32, 228)(33, 248)(34, 281)(35, 285)(36, 283)(37, 231)(38, 284)(39, 293)(40, 239)(41, 297)(42, 282)(43, 244)(44, 250)(45, 275)(46, 252)(47, 237)(48, 300)(49, 238)(50, 265)(51, 256)(52, 276)(53, 309)(54, 241)(55, 311)(56, 270)(57, 294)(58, 301)(59, 243)(60, 303)(61, 259)(62, 313)(63, 317)(64, 251)(65, 260)(66, 298)(67, 262)(68, 290)(69, 280)(70, 287)(71, 304)(72, 307)(73, 319)(74, 254)(75, 310)(76, 255)(77, 292)(78, 299)(79, 257)(80, 271)(81, 295)(82, 258)(83, 273)(84, 305)(85, 302)(86, 274)(87, 268)(88, 286)(89, 264)(90, 291)(91, 318)(92, 269)(93, 308)(94, 306)(95, 296)(96, 323)(97, 316)(98, 279)(99, 324)(100, 278)(101, 314)(102, 288)(103, 320)(104, 289)(105, 312)(106, 315)(107, 321)(108, 322)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.2429
Graph:: bipartite
	v = 45 e = 216 f = 117
	degree seq :: [ 6^36, 24^9 ]

E28.2428 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 12})
Quotient :: dipole
Aut^+ = C3 x ((C3 x C3) : C4) (small group id <108, 36>)
Aut   = (C3 x ((C3 x C3) : C4)) : C2 (small group id <216, 159>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y1^-2 * Y3^-1 * Y1, (Y3 * Y2^-1)^3, Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1, Y3^-1 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1, Y1^12, (Y3 * Y1^-3)^4 ]
Map::
	R = (1, 109, 2, 110, 6, 114, 16, 124, 36, 144, 58, 166, 76, 184, 75, 183, 56, 164, 30, 138, 12, 120, 4, 112)(3, 111, 9, 117, 18, 126, 40, 148, 59, 167, 79, 187, 94, 202, 87, 195, 69, 177, 50, 158, 26, 134, 10, 118)(5, 113, 14, 122, 17, 125, 39, 147, 60, 168, 80, 188, 93, 201, 91, 199, 73, 181, 54, 162, 29, 137, 15, 123)(7, 115, 19, 127, 38, 146, 62, 170, 77, 185, 95, 203, 92, 200, 74, 182, 55, 163, 31, 139, 13, 121, 20, 128)(8, 116, 21, 129, 37, 145, 61, 169, 78, 186, 96, 204, 89, 197, 71, 179, 53, 161, 28, 136, 11, 119, 22, 130)(23, 131, 42, 150, 66, 174, 83, 191, 97, 205, 106, 214, 102, 210, 86, 194, 68, 176, 51, 159, 27, 135, 43, 151)(24, 132, 46, 154, 65, 173, 81, 189, 98, 206, 108, 216, 101, 209, 85, 193, 67, 175, 49, 157, 25, 133, 47, 155)(32, 140, 41, 149, 64, 172, 84, 192, 99, 207, 105, 213, 104, 212, 90, 198, 72, 180, 57, 165, 35, 143, 44, 152)(33, 141, 45, 153, 63, 171, 82, 190, 100, 208, 107, 215, 103, 211, 88, 196, 70, 178, 52, 160, 34, 142, 48, 156)(217, 325)(218, 326)(219, 327)(220, 328)(221, 329)(222, 330)(223, 331)(224, 332)(225, 333)(226, 334)(227, 335)(228, 336)(229, 337)(230, 338)(231, 339)(232, 340)(233, 341)(234, 342)(235, 343)(236, 344)(237, 345)(238, 346)(239, 347)(240, 348)(241, 349)(242, 350)(243, 351)(244, 352)(245, 353)(246, 354)(247, 355)(248, 356)(249, 357)(250, 358)(251, 359)(252, 360)(253, 361)(254, 362)(255, 363)(256, 364)(257, 365)(258, 366)(259, 367)(260, 368)(261, 369)(262, 370)(263, 371)(264, 372)(265, 373)(266, 374)(267, 375)(268, 376)(269, 377)(270, 378)(271, 379)(272, 380)(273, 381)(274, 382)(275, 383)(276, 384)(277, 385)(278, 386)(279, 387)(280, 388)(281, 389)(282, 390)(283, 391)(284, 392)(285, 393)(286, 394)(287, 395)(288, 396)(289, 397)(290, 398)(291, 399)(292, 400)(293, 401)(294, 402)(295, 403)(296, 404)(297, 405)(298, 406)(299, 407)(300, 408)(301, 409)(302, 410)(303, 411)(304, 412)(305, 413)(306, 414)(307, 415)(308, 416)(309, 417)(310, 418)(311, 419)(312, 420)(313, 421)(314, 422)(315, 423)(316, 424)(317, 425)(318, 426)(319, 427)(320, 428)(321, 429)(322, 430)(323, 431)(324, 432)
	L = (1, 219)(2, 223)(3, 221)(4, 227)(5, 217)(6, 233)(7, 224)(8, 218)(9, 239)(10, 241)(11, 229)(12, 245)(13, 220)(14, 248)(15, 250)(16, 253)(17, 234)(18, 222)(19, 257)(20, 259)(21, 261)(22, 263)(23, 240)(24, 225)(25, 243)(26, 228)(27, 226)(28, 268)(29, 242)(30, 271)(31, 273)(32, 249)(33, 230)(34, 251)(35, 231)(36, 275)(37, 254)(38, 232)(39, 279)(40, 281)(41, 258)(42, 235)(43, 260)(44, 236)(45, 262)(46, 237)(47, 264)(48, 238)(49, 244)(50, 284)(51, 247)(52, 265)(53, 246)(54, 288)(55, 269)(56, 285)(57, 267)(58, 293)(59, 276)(60, 252)(61, 297)(62, 299)(63, 280)(64, 255)(65, 282)(66, 256)(67, 266)(68, 283)(69, 289)(70, 270)(71, 301)(72, 286)(73, 272)(74, 302)(75, 305)(76, 309)(77, 294)(78, 274)(79, 313)(80, 315)(81, 298)(82, 277)(83, 300)(84, 278)(85, 304)(86, 306)(87, 317)(88, 287)(89, 308)(90, 290)(91, 319)(92, 291)(93, 310)(94, 292)(95, 321)(96, 323)(97, 314)(98, 295)(99, 316)(100, 296)(101, 318)(102, 303)(103, 320)(104, 307)(105, 322)(106, 311)(107, 324)(108, 312)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.2426
Graph:: simple bipartite
	v = 117 e = 216 f = 45
	degree seq :: [ 2^108, 24^9 ]

E28.2429 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 12})
Quotient :: dipole
Aut^+ = C3 x ((C3 x C3) : C4) (small group id <108, 36>)
Aut   = (C3 x ((C3 x C3) : C4)) : C2 (small group id <216, 159>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y1^-2 * Y3^-1)^2, (Y3 * Y2^-1)^3, (Y3, Y1, Y3), Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, (Y1 * Y3^-1)^4, Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1^-3, Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-4 ]
Map::
	R = (1, 109, 2, 110, 6, 114, 16, 124, 39, 147, 76, 184, 59, 167, 92, 200, 70, 178, 32, 140, 12, 120, 4, 112)(3, 111, 9, 117, 23, 131, 55, 163, 77, 185, 44, 152, 18, 126, 43, 151, 85, 193, 60, 168, 27, 135, 10, 118)(5, 113, 14, 122, 34, 142, 73, 181, 78, 186, 68, 176, 31, 139, 67, 175, 83, 191, 42, 150, 17, 125, 15, 123)(7, 115, 19, 127, 13, 121, 33, 141, 71, 179, 81, 189, 41, 149, 80, 188, 69, 177, 93, 201, 48, 156, 20, 128)(8, 116, 21, 129, 50, 158, 94, 202, 65, 173, 30, 138, 11, 119, 29, 137, 62, 170, 79, 187, 40, 148, 22, 130)(24, 132, 56, 164, 28, 136, 61, 169, 88, 196, 46, 154, 91, 199, 105, 213, 99, 207, 104, 212, 87, 195, 47, 155)(25, 133, 57, 165, 86, 194, 107, 215, 89, 197, 52, 160, 26, 134, 58, 166, 98, 206, 66, 174, 96, 204, 53, 161)(35, 143, 74, 182, 38, 146, 72, 180, 101, 209, 97, 205, 103, 211, 106, 214, 82, 190, 45, 153, 90, 198, 49, 157)(36, 144, 64, 172, 100, 208, 108, 216, 102, 210, 75, 183, 37, 145, 63, 171, 84, 192, 51, 159, 95, 203, 54, 162)(217, 325)(218, 326)(219, 327)(220, 328)(221, 329)(222, 330)(223, 331)(224, 332)(225, 333)(226, 334)(227, 335)(228, 336)(229, 337)(230, 338)(231, 339)(232, 340)(233, 341)(234, 342)(235, 343)(236, 344)(237, 345)(238, 346)(239, 347)(240, 348)(241, 349)(242, 350)(243, 351)(244, 352)(245, 353)(246, 354)(247, 355)(248, 356)(249, 357)(250, 358)(251, 359)(252, 360)(253, 361)(254, 362)(255, 363)(256, 364)(257, 365)(258, 366)(259, 367)(260, 368)(261, 369)(262, 370)(263, 371)(264, 372)(265, 373)(266, 374)(267, 375)(268, 376)(269, 377)(270, 378)(271, 379)(272, 380)(273, 381)(274, 382)(275, 383)(276, 384)(277, 385)(278, 386)(279, 387)(280, 388)(281, 389)(282, 390)(283, 391)(284, 392)(285, 393)(286, 394)(287, 395)(288, 396)(289, 397)(290, 398)(291, 399)(292, 400)(293, 401)(294, 402)(295, 403)(296, 404)(297, 405)(298, 406)(299, 407)(300, 408)(301, 409)(302, 410)(303, 411)(304, 412)(305, 413)(306, 414)(307, 415)(308, 416)(309, 417)(310, 418)(311, 419)(312, 420)(313, 421)(314, 422)(315, 423)(316, 424)(317, 425)(318, 426)(319, 427)(320, 428)(321, 429)(322, 430)(323, 431)(324, 432)
	L = (1, 219)(2, 223)(3, 221)(4, 227)(5, 217)(6, 233)(7, 224)(8, 218)(9, 240)(10, 242)(11, 229)(12, 247)(13, 220)(14, 251)(15, 253)(16, 256)(17, 234)(18, 222)(19, 261)(20, 263)(21, 267)(22, 269)(23, 228)(24, 241)(25, 225)(26, 244)(27, 275)(28, 226)(29, 274)(30, 280)(31, 239)(32, 285)(33, 277)(34, 243)(35, 252)(36, 230)(37, 254)(38, 231)(39, 293)(40, 257)(41, 232)(42, 298)(43, 302)(44, 304)(45, 262)(46, 235)(47, 265)(48, 308)(49, 236)(50, 264)(51, 268)(52, 237)(53, 270)(54, 238)(55, 312)(56, 309)(57, 295)(58, 279)(59, 250)(60, 315)(61, 288)(62, 248)(63, 245)(64, 282)(65, 292)(66, 246)(67, 316)(68, 317)(69, 278)(70, 301)(71, 281)(72, 249)(73, 311)(74, 320)(75, 273)(76, 287)(77, 294)(78, 255)(79, 291)(80, 321)(81, 290)(82, 300)(83, 286)(84, 258)(85, 299)(86, 303)(87, 259)(88, 305)(89, 260)(90, 283)(91, 271)(92, 266)(93, 313)(94, 323)(95, 319)(96, 307)(97, 272)(98, 276)(99, 314)(100, 306)(101, 318)(102, 284)(103, 289)(104, 297)(105, 322)(106, 296)(107, 324)(108, 310)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.2427
Graph:: simple bipartite
	v = 117 e = 216 f = 45
	degree seq :: [ 2^108, 24^9 ]

E28.2430 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 9, 18})
Quotient :: edge
Aut^+ = C9 x A4 (small group id <108, 18>)
Aut   = (C9 x A4) : C2 (small group id <216, 93>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^-2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1, T2^-1 * T1 * T2^-1 * T1 * T2^2 * T1, T1^-1 * T2^-1 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1, T2^9, T1^-1 * T2^2 * T1^-1 * T2 * T1 * T2^-2 * T1 * T2^-1, T2^-1 * T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1 ]
Map:: non-degenerate
	R = (1, 3, 9, 25, 57, 72, 41, 15, 5)(2, 6, 17, 44, 75, 82, 52, 21, 7)(4, 11, 30, 58, 88, 94, 67, 34, 12)(8, 22, 53, 83, 97, 70, 39, 55, 23)(10, 27, 61, 87, 98, 71, 40, 19, 28)(13, 35, 31, 24, 56, 86, 95, 68, 36)(14, 37, 60, 26, 59, 89, 96, 69, 38)(16, 42, 73, 99, 103, 80, 50, 74, 43)(18, 46, 78, 100, 104, 81, 51, 32, 47)(20, 48, 77, 45, 76, 101, 102, 79, 49)(29, 54, 84, 105, 108, 93, 66, 85, 62)(33, 63, 90, 64, 91, 106, 107, 92, 65)(109, 110, 112)(111, 116, 118)(113, 121, 122)(114, 124, 126)(115, 127, 128)(117, 132, 134)(119, 137, 139)(120, 140, 141)(123, 147, 148)(125, 135, 153)(129, 158, 159)(130, 150, 162)(131, 145, 155)(133, 152, 166)(136, 170, 171)(138, 154, 172)(142, 174, 144)(143, 151, 156)(146, 157, 173)(149, 160, 175)(161, 167, 186)(163, 182, 193)(164, 181, 184)(165, 191, 195)(168, 185, 198)(169, 192, 199)(176, 188, 187)(177, 189, 178)(179, 201, 200)(180, 203, 204)(183, 207, 208)(190, 206, 210)(194, 196, 213)(197, 209, 214)(202, 212, 215)(205, 211, 216)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 36^3 ), ( 36^9 ) }
Outer automorphisms :: reflexible
Dual of E28.2434
Transitivity :: ET+
Graph:: simple bipartite
	v = 48 e = 108 f = 6
	degree seq :: [ 3^36, 9^12 ]

E28.2431 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 9, 18})
Quotient :: edge
Aut^+ = C9 x A4 (small group id <108, 18>)
Aut   = (C9 x A4) : C2 (small group id <216, 93>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1 * T2^-2 * T1^-1 * T2^2, (T1^-1 * T2^-1)^3, T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1 * T2^-1, T1 * T2^-2 * T1 * T2^-4 * T1, T1^3 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1, T1^9, (T1^2 * T2^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 30, 68, 48, 18, 47, 90, 107, 105, 82, 38, 75, 87, 45, 17, 5)(2, 7, 22, 57, 95, 73, 46, 88, 106, 101, 83, 39, 13, 37, 71, 64, 26, 8)(4, 12, 31, 70, 54, 20, 6, 19, 50, 92, 108, 97, 81, 85, 102, 67, 41, 14)(9, 28, 66, 36, 78, 104, 89, 53, 93, 51, 44, 76, 33, 74, 86, 43, 15, 29)(11, 32, 69, 84, 42, 65, 27, 63, 99, 59, 98, 100, 62, 24, 56, 21, 16, 34)(23, 58, 96, 79, 61, 94, 55, 40, 77, 35, 72, 103, 80, 52, 91, 49, 25, 60)(109, 110, 114, 126, 154, 189, 146, 121, 112)(111, 117, 135, 155, 197, 170, 183, 141, 119)(113, 123, 150, 156, 186, 206, 190, 152, 124)(115, 129, 163, 196, 192, 188, 145, 167, 131)(116, 132, 169, 181, 140, 180, 147, 171, 133)(118, 130, 158, 198, 214, 210, 195, 179, 139)(120, 143, 159, 127, 157, 151, 193, 187, 144)(122, 148, 161, 128, 160, 182, 205, 166, 136)(125, 134, 162, 176, 203, 216, 213, 191, 149)(137, 175, 202, 212, 178, 211, 184, 200, 168)(138, 174, 207, 215, 201, 164, 153, 194, 177)(142, 185, 209, 173, 199, 172, 208, 204, 165)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6^9 ), ( 6^18 ) }
Outer automorphisms :: reflexible
Dual of E28.2435
Transitivity :: ET+
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 9^12, 18^6 ]

E28.2432 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 9, 18})
Quotient :: edge
Aut^+ = C9 x A4 (small group id <108, 18>)
Aut   = (C9 x A4) : C2 (small group id <216, 93>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, T1^2 * T2 * T1^-2 * T2^-1, (T1, T2^-1)^2, T1^-1 * T2 * T1^-3 * T2 * T1^-5 * T2, (T2^-1 * T1^-1)^9 ]
Map:: non-degenerate
	R = (1, 3, 5)(2, 7, 8)(4, 11, 13)(6, 17, 18)(9, 23, 24)(10, 25, 27)(12, 26, 30)(14, 32, 33)(15, 34, 35)(16, 37, 38)(19, 41, 42)(20, 43, 44)(21, 45, 46)(22, 47, 48)(28, 54, 53)(29, 55, 57)(31, 59, 60)(36, 65, 66)(39, 69, 70)(40, 71, 72)(49, 79, 61)(50, 80, 62)(51, 81, 63)(52, 82, 84)(56, 83, 88)(58, 90, 91)(64, 94, 95)(67, 98, 99)(68, 100, 101)(73, 104, 76)(74, 105, 77)(75, 106, 78)(85, 93, 92)(86, 97, 107)(87, 103, 102)(89, 108, 96)(109, 110, 114, 124, 144, 172, 201, 189, 214, 188, 213, 187, 212, 195, 164, 137, 120, 112)(111, 117, 125, 147, 173, 204, 200, 168, 186, 156, 185, 154, 184, 209, 191, 160, 134, 118)(113, 122, 126, 148, 174, 205, 193, 162, 183, 151, 182, 149, 181, 206, 196, 166, 138, 123)(115, 127, 145, 175, 202, 199, 171, 143, 170, 141, 169, 180, 211, 194, 163, 136, 119, 128)(116, 129, 146, 176, 203, 190, 159, 133, 158, 131, 157, 177, 210, 197, 165, 139, 121, 130)(132, 150, 178, 207, 216, 198, 167, 142, 155, 140, 153, 179, 208, 215, 192, 161, 135, 152)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 18^3 ), ( 18^18 ) }
Outer automorphisms :: reflexible
Dual of E28.2433
Transitivity :: ET+
Graph:: simple bipartite
	v = 42 e = 108 f = 12
	degree seq :: [ 3^36, 18^6 ]

E28.2433 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 9, 18})
Quotient :: loop
Aut^+ = C9 x A4 (small group id <108, 18>)
Aut   = (C9 x A4) : C2 (small group id <216, 93>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^-2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1, T2^-1 * T1 * T2^-1 * T1 * T2^2 * T1, T1^-1 * T2^-1 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1, T2^9, T1^-1 * T2^2 * T1^-1 * T2 * T1 * T2^-2 * T1 * T2^-1, T2^-1 * T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1 ]
Map:: non-degenerate
	R = (1, 109, 3, 111, 9, 117, 25, 133, 57, 165, 72, 180, 41, 149, 15, 123, 5, 113)(2, 110, 6, 114, 17, 125, 44, 152, 75, 183, 82, 190, 52, 160, 21, 129, 7, 115)(4, 112, 11, 119, 30, 138, 58, 166, 88, 196, 94, 202, 67, 175, 34, 142, 12, 120)(8, 116, 22, 130, 53, 161, 83, 191, 97, 205, 70, 178, 39, 147, 55, 163, 23, 131)(10, 118, 27, 135, 61, 169, 87, 195, 98, 206, 71, 179, 40, 148, 19, 127, 28, 136)(13, 121, 35, 143, 31, 139, 24, 132, 56, 164, 86, 194, 95, 203, 68, 176, 36, 144)(14, 122, 37, 145, 60, 168, 26, 134, 59, 167, 89, 197, 96, 204, 69, 177, 38, 146)(16, 124, 42, 150, 73, 181, 99, 207, 103, 211, 80, 188, 50, 158, 74, 182, 43, 151)(18, 126, 46, 154, 78, 186, 100, 208, 104, 212, 81, 189, 51, 159, 32, 140, 47, 155)(20, 128, 48, 156, 77, 185, 45, 153, 76, 184, 101, 209, 102, 210, 79, 187, 49, 157)(29, 137, 54, 162, 84, 192, 105, 213, 108, 216, 93, 201, 66, 174, 85, 193, 62, 170)(33, 141, 63, 171, 90, 198, 64, 172, 91, 199, 106, 214, 107, 215, 92, 200, 65, 173)
	L = (1, 110)(2, 112)(3, 116)(4, 109)(5, 121)(6, 124)(7, 127)(8, 118)(9, 132)(10, 111)(11, 137)(12, 140)(13, 122)(14, 113)(15, 147)(16, 126)(17, 135)(18, 114)(19, 128)(20, 115)(21, 158)(22, 150)(23, 145)(24, 134)(25, 152)(26, 117)(27, 153)(28, 170)(29, 139)(30, 154)(31, 119)(32, 141)(33, 120)(34, 174)(35, 151)(36, 142)(37, 155)(38, 157)(39, 148)(40, 123)(41, 160)(42, 162)(43, 156)(44, 166)(45, 125)(46, 172)(47, 131)(48, 143)(49, 173)(50, 159)(51, 129)(52, 175)(53, 167)(54, 130)(55, 182)(56, 181)(57, 191)(58, 133)(59, 186)(60, 185)(61, 192)(62, 171)(63, 136)(64, 138)(65, 146)(66, 144)(67, 149)(68, 188)(69, 189)(70, 177)(71, 201)(72, 203)(73, 184)(74, 193)(75, 207)(76, 164)(77, 198)(78, 161)(79, 176)(80, 187)(81, 178)(82, 206)(83, 195)(84, 199)(85, 163)(86, 196)(87, 165)(88, 213)(89, 209)(90, 168)(91, 169)(92, 179)(93, 200)(94, 212)(95, 204)(96, 180)(97, 211)(98, 210)(99, 208)(100, 183)(101, 214)(102, 190)(103, 216)(104, 215)(105, 194)(106, 197)(107, 202)(108, 205)
	local type(s) :: { ( 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.2432
Transitivity :: ET+ VT+ AT
Graph::
	v = 12 e = 108 f = 42
	degree seq :: [ 18^12 ]

E28.2434 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 9, 18})
Quotient :: loop
Aut^+ = C9 x A4 (small group id <108, 18>)
Aut   = (C9 x A4) : C2 (small group id <216, 93>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1 * T2^-2 * T1^-1 * T2^2, (T1^-1 * T2^-1)^3, T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1 * T2^-1, T1 * T2^-2 * T1 * T2^-4 * T1, T1^3 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1, T1^9, (T1^2 * T2^-1)^3 ]
Map:: non-degenerate
	R = (1, 109, 3, 111, 10, 118, 30, 138, 68, 176, 48, 156, 18, 126, 47, 155, 90, 198, 107, 215, 105, 213, 82, 190, 38, 146, 75, 183, 87, 195, 45, 153, 17, 125, 5, 113)(2, 110, 7, 115, 22, 130, 57, 165, 95, 203, 73, 181, 46, 154, 88, 196, 106, 214, 101, 209, 83, 191, 39, 147, 13, 121, 37, 145, 71, 179, 64, 172, 26, 134, 8, 116)(4, 112, 12, 120, 31, 139, 70, 178, 54, 162, 20, 128, 6, 114, 19, 127, 50, 158, 92, 200, 108, 216, 97, 205, 81, 189, 85, 193, 102, 210, 67, 175, 41, 149, 14, 122)(9, 117, 28, 136, 66, 174, 36, 144, 78, 186, 104, 212, 89, 197, 53, 161, 93, 201, 51, 159, 44, 152, 76, 184, 33, 141, 74, 182, 86, 194, 43, 151, 15, 123, 29, 137)(11, 119, 32, 140, 69, 177, 84, 192, 42, 150, 65, 173, 27, 135, 63, 171, 99, 207, 59, 167, 98, 206, 100, 208, 62, 170, 24, 132, 56, 164, 21, 129, 16, 124, 34, 142)(23, 131, 58, 166, 96, 204, 79, 187, 61, 169, 94, 202, 55, 163, 40, 148, 77, 185, 35, 143, 72, 180, 103, 211, 80, 188, 52, 160, 91, 199, 49, 157, 25, 133, 60, 168)
	L = (1, 110)(2, 114)(3, 117)(4, 109)(5, 123)(6, 126)(7, 129)(8, 132)(9, 135)(10, 130)(11, 111)(12, 143)(13, 112)(14, 148)(15, 150)(16, 113)(17, 134)(18, 154)(19, 157)(20, 160)(21, 163)(22, 158)(23, 115)(24, 169)(25, 116)(26, 162)(27, 155)(28, 122)(29, 175)(30, 174)(31, 118)(32, 180)(33, 119)(34, 185)(35, 159)(36, 120)(37, 167)(38, 121)(39, 171)(40, 161)(41, 125)(42, 156)(43, 193)(44, 124)(45, 194)(46, 189)(47, 197)(48, 186)(49, 151)(50, 198)(51, 127)(52, 182)(53, 128)(54, 176)(55, 196)(56, 153)(57, 142)(58, 136)(59, 131)(60, 137)(61, 181)(62, 183)(63, 133)(64, 208)(65, 199)(66, 207)(67, 202)(68, 203)(69, 138)(70, 211)(71, 139)(72, 147)(73, 140)(74, 205)(75, 141)(76, 200)(77, 209)(78, 206)(79, 144)(80, 145)(81, 146)(82, 152)(83, 149)(84, 188)(85, 187)(86, 177)(87, 179)(88, 192)(89, 170)(90, 214)(91, 172)(92, 168)(93, 164)(94, 212)(95, 216)(96, 165)(97, 166)(98, 190)(99, 215)(100, 204)(101, 173)(102, 195)(103, 184)(104, 178)(105, 191)(106, 210)(107, 201)(108, 213)
	local type(s) :: { ( 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9 ) }
Outer automorphisms :: reflexible
Dual of E28.2430
Transitivity :: ET+ VT+ AT
Graph::
	v = 6 e = 108 f = 48
	degree seq :: [ 36^6 ]

E28.2435 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 9, 18})
Quotient :: loop
Aut^+ = C9 x A4 (small group id <108, 18>)
Aut   = (C9 x A4) : C2 (small group id <216, 93>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, T1^2 * T2 * T1^-2 * T2^-1, (T1, T2^-1)^2, T1^-1 * T2 * T1^-3 * T2 * T1^-5 * T2, (T2^-1 * T1^-1)^9 ]
Map:: polytopal non-degenerate
	R = (1, 109, 3, 111, 5, 113)(2, 110, 7, 115, 8, 116)(4, 112, 11, 119, 13, 121)(6, 114, 17, 125, 18, 126)(9, 117, 23, 131, 24, 132)(10, 118, 25, 133, 27, 135)(12, 120, 26, 134, 30, 138)(14, 122, 32, 140, 33, 141)(15, 123, 34, 142, 35, 143)(16, 124, 37, 145, 38, 146)(19, 127, 41, 149, 42, 150)(20, 128, 43, 151, 44, 152)(21, 129, 45, 153, 46, 154)(22, 130, 47, 155, 48, 156)(28, 136, 54, 162, 53, 161)(29, 137, 55, 163, 57, 165)(31, 139, 59, 167, 60, 168)(36, 144, 65, 173, 66, 174)(39, 147, 69, 177, 70, 178)(40, 148, 71, 179, 72, 180)(49, 157, 79, 187, 61, 169)(50, 158, 80, 188, 62, 170)(51, 159, 81, 189, 63, 171)(52, 160, 82, 190, 84, 192)(56, 164, 83, 191, 88, 196)(58, 166, 90, 198, 91, 199)(64, 172, 94, 202, 95, 203)(67, 175, 98, 206, 99, 207)(68, 176, 100, 208, 101, 209)(73, 181, 104, 212, 76, 184)(74, 182, 105, 213, 77, 185)(75, 183, 106, 214, 78, 186)(85, 193, 93, 201, 92, 200)(86, 194, 97, 205, 107, 215)(87, 195, 103, 211, 102, 210)(89, 197, 108, 216, 96, 204)
	L = (1, 110)(2, 114)(3, 117)(4, 109)(5, 122)(6, 124)(7, 127)(8, 129)(9, 125)(10, 111)(11, 128)(12, 112)(13, 130)(14, 126)(15, 113)(16, 144)(17, 147)(18, 148)(19, 145)(20, 115)(21, 146)(22, 116)(23, 157)(24, 150)(25, 158)(26, 118)(27, 152)(28, 119)(29, 120)(30, 123)(31, 121)(32, 153)(33, 169)(34, 155)(35, 170)(36, 172)(37, 175)(38, 176)(39, 173)(40, 174)(41, 181)(42, 178)(43, 182)(44, 132)(45, 179)(46, 184)(47, 140)(48, 185)(49, 177)(50, 131)(51, 133)(52, 134)(53, 135)(54, 183)(55, 136)(56, 137)(57, 139)(58, 138)(59, 142)(60, 186)(61, 180)(62, 141)(63, 143)(64, 201)(65, 204)(66, 205)(67, 202)(68, 203)(69, 210)(70, 207)(71, 208)(72, 211)(73, 206)(74, 149)(75, 151)(76, 209)(77, 154)(78, 156)(79, 212)(80, 213)(81, 214)(82, 159)(83, 160)(84, 161)(85, 162)(86, 163)(87, 164)(88, 166)(89, 165)(90, 167)(91, 171)(92, 168)(93, 189)(94, 199)(95, 190)(96, 200)(97, 193)(98, 196)(99, 216)(100, 215)(101, 191)(102, 197)(103, 194)(104, 195)(105, 187)(106, 188)(107, 192)(108, 198)
	local type(s) :: { ( 9, 18, 9, 18, 9, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.2431
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 36 e = 108 f = 18
	degree seq :: [ 6^36 ]

E28.2436 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x A4 (small group id <108, 18>)
Aut   = (C9 x A4) : C2 (small group id <216, 93>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y3 * Y1^-2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-1 * Y2^2 * Y3^-1 * Y2^-1 * Y1, Y2 * Y3^3 * Y2^-1 * Y3 * Y1, Y2^-2 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1, Y1^-1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1 * Y2 * Y3, Y1 * Y2^-1 * Y1 * Y2^2 * Y3^-1 * Y2^-1, Y2^2 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1, (Y1, Y2)^2, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y1^-1 * Y2^-1 * Y3^-1, (Y2^-1 * R * Y2^-2)^2, Y2^9, (Y3 * Y2^-1)^18 ]
Map::
	R = (1, 109, 2, 110, 4, 112)(3, 111, 8, 116, 10, 118)(5, 113, 13, 121, 14, 122)(6, 114, 16, 124, 18, 126)(7, 115, 19, 127, 20, 128)(9, 117, 24, 132, 26, 134)(11, 119, 29, 137, 31, 139)(12, 120, 32, 140, 33, 141)(15, 123, 39, 147, 40, 148)(17, 125, 27, 135, 45, 153)(21, 129, 50, 158, 51, 159)(22, 130, 42, 150, 54, 162)(23, 131, 37, 145, 47, 155)(25, 133, 44, 152, 58, 166)(28, 136, 62, 170, 63, 171)(30, 138, 46, 154, 64, 172)(34, 142, 66, 174, 36, 144)(35, 143, 43, 151, 48, 156)(38, 146, 49, 157, 65, 173)(41, 149, 52, 160, 67, 175)(53, 161, 59, 167, 78, 186)(55, 163, 74, 182, 85, 193)(56, 164, 73, 181, 76, 184)(57, 165, 83, 191, 87, 195)(60, 168, 77, 185, 90, 198)(61, 169, 84, 192, 91, 199)(68, 176, 80, 188, 79, 187)(69, 177, 81, 189, 70, 178)(71, 179, 93, 201, 92, 200)(72, 180, 95, 203, 96, 204)(75, 183, 99, 207, 100, 208)(82, 190, 98, 206, 102, 210)(86, 194, 88, 196, 105, 213)(89, 197, 101, 209, 106, 214)(94, 202, 104, 212, 107, 215)(97, 205, 103, 211, 108, 216)(217, 325, 219, 327, 225, 333, 241, 349, 273, 381, 288, 396, 257, 365, 231, 339, 221, 329)(218, 326, 222, 330, 233, 341, 260, 368, 291, 399, 298, 406, 268, 376, 237, 345, 223, 331)(220, 328, 227, 335, 246, 354, 274, 382, 304, 412, 310, 418, 283, 391, 250, 358, 228, 336)(224, 332, 238, 346, 269, 377, 299, 407, 313, 421, 286, 394, 255, 363, 271, 379, 239, 347)(226, 334, 243, 351, 277, 385, 303, 411, 314, 422, 287, 395, 256, 364, 235, 343, 244, 352)(229, 337, 251, 359, 247, 355, 240, 348, 272, 380, 302, 410, 311, 419, 284, 392, 252, 360)(230, 338, 253, 361, 276, 384, 242, 350, 275, 383, 305, 413, 312, 420, 285, 393, 254, 362)(232, 340, 258, 366, 289, 397, 315, 423, 319, 427, 296, 404, 266, 374, 290, 398, 259, 367)(234, 342, 262, 370, 294, 402, 316, 424, 320, 428, 297, 405, 267, 375, 248, 356, 263, 371)(236, 344, 264, 372, 293, 401, 261, 369, 292, 400, 317, 425, 318, 426, 295, 403, 265, 373)(245, 353, 270, 378, 300, 408, 321, 429, 324, 432, 309, 417, 282, 390, 301, 409, 278, 386)(249, 357, 279, 387, 306, 414, 280, 388, 307, 415, 322, 430, 323, 431, 308, 416, 281, 389)
	L = (1, 220)(2, 217)(3, 226)(4, 218)(5, 230)(6, 234)(7, 236)(8, 219)(9, 242)(10, 224)(11, 247)(12, 249)(13, 221)(14, 229)(15, 256)(16, 222)(17, 261)(18, 232)(19, 223)(20, 235)(21, 267)(22, 270)(23, 263)(24, 225)(25, 274)(26, 240)(27, 233)(28, 279)(29, 227)(30, 280)(31, 245)(32, 228)(33, 248)(34, 252)(35, 264)(36, 282)(37, 239)(38, 281)(39, 231)(40, 255)(41, 283)(42, 238)(43, 251)(44, 241)(45, 243)(46, 246)(47, 253)(48, 259)(49, 254)(50, 237)(51, 266)(52, 257)(53, 294)(54, 258)(55, 301)(56, 292)(57, 303)(58, 260)(59, 269)(60, 306)(61, 307)(62, 244)(63, 278)(64, 262)(65, 265)(66, 250)(67, 268)(68, 295)(69, 286)(70, 297)(71, 308)(72, 312)(73, 272)(74, 271)(75, 316)(76, 289)(77, 276)(78, 275)(79, 296)(80, 284)(81, 285)(82, 318)(83, 273)(84, 277)(85, 290)(86, 321)(87, 299)(88, 302)(89, 322)(90, 293)(91, 300)(92, 309)(93, 287)(94, 323)(95, 288)(96, 311)(97, 324)(98, 298)(99, 291)(100, 315)(101, 305)(102, 314)(103, 313)(104, 310)(105, 304)(106, 317)(107, 320)(108, 319)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 36, 2, 36, 2, 36 ), ( 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.2439
Graph:: bipartite
	v = 48 e = 216 f = 114
	degree seq :: [ 6^36, 18^12 ]

E28.2437 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x A4 (small group id <108, 18>)
Aut   = (C9 x A4) : C2 (small group id <216, 93>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y1^-1 * Y2^-1)^3, Y2 * Y1 * Y2^-2 * Y1^-1 * Y2, (Y3^-1 * Y1^-1)^3, Y1^-2 * Y2^-1 * Y1 * Y2^-1 * Y1^-2 * Y2^-1, Y1^-1 * Y2 * Y1^3 * Y2^-1 * Y1^-2, (Y2^-2 * Y1)^3, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^4, Y1^9, (Y1 * Y2^-1 * Y1)^3, Y2^18 ]
Map::
	R = (1, 109, 2, 110, 6, 114, 18, 126, 46, 154, 81, 189, 38, 146, 13, 121, 4, 112)(3, 111, 9, 117, 27, 135, 47, 155, 89, 197, 62, 170, 75, 183, 33, 141, 11, 119)(5, 113, 15, 123, 42, 150, 48, 156, 78, 186, 98, 206, 82, 190, 44, 152, 16, 124)(7, 115, 21, 129, 55, 163, 88, 196, 84, 192, 80, 188, 37, 145, 59, 167, 23, 131)(8, 116, 24, 132, 61, 169, 73, 181, 32, 140, 72, 180, 39, 147, 63, 171, 25, 133)(10, 118, 22, 130, 50, 158, 90, 198, 106, 214, 102, 210, 87, 195, 71, 179, 31, 139)(12, 120, 35, 143, 51, 159, 19, 127, 49, 157, 43, 151, 85, 193, 79, 187, 36, 144)(14, 122, 40, 148, 53, 161, 20, 128, 52, 160, 74, 182, 97, 205, 58, 166, 28, 136)(17, 125, 26, 134, 54, 162, 68, 176, 95, 203, 108, 216, 105, 213, 83, 191, 41, 149)(29, 137, 67, 175, 94, 202, 104, 212, 70, 178, 103, 211, 76, 184, 92, 200, 60, 168)(30, 138, 66, 174, 99, 207, 107, 215, 93, 201, 56, 164, 45, 153, 86, 194, 69, 177)(34, 142, 77, 185, 101, 209, 65, 173, 91, 199, 64, 172, 100, 208, 96, 204, 57, 165)(217, 325, 219, 327, 226, 334, 246, 354, 284, 392, 264, 372, 234, 342, 263, 371, 306, 414, 323, 431, 321, 429, 298, 406, 254, 362, 291, 399, 303, 411, 261, 369, 233, 341, 221, 329)(218, 326, 223, 331, 238, 346, 273, 381, 311, 419, 289, 397, 262, 370, 304, 412, 322, 430, 317, 425, 299, 407, 255, 363, 229, 337, 253, 361, 287, 395, 280, 388, 242, 350, 224, 332)(220, 328, 228, 336, 247, 355, 286, 394, 270, 378, 236, 344, 222, 330, 235, 343, 266, 374, 308, 416, 324, 432, 313, 421, 297, 405, 301, 409, 318, 426, 283, 391, 257, 365, 230, 338)(225, 333, 244, 352, 282, 390, 252, 360, 294, 402, 320, 428, 305, 413, 269, 377, 309, 417, 267, 375, 260, 368, 292, 400, 249, 357, 290, 398, 302, 410, 259, 367, 231, 339, 245, 353)(227, 335, 248, 356, 285, 393, 300, 408, 258, 366, 281, 389, 243, 351, 279, 387, 315, 423, 275, 383, 314, 422, 316, 424, 278, 386, 240, 348, 272, 380, 237, 345, 232, 340, 250, 358)(239, 347, 274, 382, 312, 420, 295, 403, 277, 385, 310, 418, 271, 379, 256, 364, 293, 401, 251, 359, 288, 396, 319, 427, 296, 404, 268, 376, 307, 415, 265, 373, 241, 349, 276, 384)
	L = (1, 219)(2, 223)(3, 226)(4, 228)(5, 217)(6, 235)(7, 238)(8, 218)(9, 244)(10, 246)(11, 248)(12, 247)(13, 253)(14, 220)(15, 245)(16, 250)(17, 221)(18, 263)(19, 266)(20, 222)(21, 232)(22, 273)(23, 274)(24, 272)(25, 276)(26, 224)(27, 279)(28, 282)(29, 225)(30, 284)(31, 286)(32, 285)(33, 290)(34, 227)(35, 288)(36, 294)(37, 287)(38, 291)(39, 229)(40, 293)(41, 230)(42, 281)(43, 231)(44, 292)(45, 233)(46, 304)(47, 306)(48, 234)(49, 241)(50, 308)(51, 260)(52, 307)(53, 309)(54, 236)(55, 256)(56, 237)(57, 311)(58, 312)(59, 314)(60, 239)(61, 310)(62, 240)(63, 315)(64, 242)(65, 243)(66, 252)(67, 257)(68, 264)(69, 300)(70, 270)(71, 280)(72, 319)(73, 262)(74, 302)(75, 303)(76, 249)(77, 251)(78, 320)(79, 277)(80, 268)(81, 301)(82, 254)(83, 255)(84, 258)(85, 318)(86, 259)(87, 261)(88, 322)(89, 269)(90, 323)(91, 265)(92, 324)(93, 267)(94, 271)(95, 289)(96, 295)(97, 297)(98, 316)(99, 275)(100, 278)(101, 299)(102, 283)(103, 296)(104, 305)(105, 298)(106, 317)(107, 321)(108, 313)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2438
Graph:: bipartite
	v = 18 e = 216 f = 144
	degree seq :: [ 18^12, 36^6 ]

E28.2438 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x A4 (small group id <108, 18>)
Aut   = (C9 x A4) : C2 (small group id <216, 93>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^2 * Y2 * Y3^-2 * Y2^-1, Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3 * Y2^-1, Y3^-2 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-5, Y3^5 * Y2^-1 * Y3^3 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^18 ]
Map:: polytopal
	R = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)(217, 325, 218, 326, 220, 328)(219, 327, 224, 332, 226, 334)(221, 329, 229, 337, 230, 338)(222, 330, 232, 340, 234, 342)(223, 331, 235, 343, 236, 344)(225, 333, 233, 341, 241, 349)(227, 335, 244, 352, 245, 353)(228, 336, 246, 354, 247, 355)(231, 339, 237, 345, 248, 356)(238, 346, 260, 368, 255, 363)(239, 347, 262, 370, 256, 364)(240, 348, 261, 369, 264, 372)(242, 350, 266, 374, 267, 375)(243, 351, 268, 376, 269, 377)(249, 357, 275, 383, 258, 366)(250, 358, 272, 380, 277, 385)(251, 359, 276, 384, 278, 386)(252, 360, 280, 388, 270, 378)(253, 361, 282, 390, 271, 379)(254, 362, 281, 389, 284, 392)(257, 365, 285, 393, 273, 381)(259, 367, 286, 394, 287, 395)(263, 371, 283, 391, 294, 402)(265, 373, 296, 404, 297, 405)(274, 382, 301, 409, 302, 410)(279, 387, 288, 396, 303, 411)(289, 397, 309, 417, 298, 406)(290, 398, 310, 418, 299, 407)(291, 399, 319, 427, 314, 422)(292, 400, 312, 420, 300, 408)(293, 401, 320, 428, 316, 424)(295, 403, 322, 430, 318, 426)(304, 412, 315, 423, 306, 414)(305, 413, 321, 429, 317, 425)(307, 415, 324, 432, 313, 421)(308, 416, 323, 431, 311, 419)
	L = (1, 219)(2, 222)(3, 225)(4, 227)(5, 217)(6, 233)(7, 218)(8, 238)(9, 240)(10, 242)(11, 241)(12, 220)(13, 239)(14, 243)(15, 221)(16, 252)(17, 254)(18, 255)(19, 253)(20, 256)(21, 223)(22, 261)(23, 224)(24, 263)(25, 265)(26, 264)(27, 226)(28, 266)(29, 270)(30, 268)(31, 271)(32, 228)(33, 229)(34, 230)(35, 231)(36, 281)(37, 232)(38, 283)(39, 284)(40, 234)(41, 235)(42, 236)(43, 237)(44, 289)(45, 291)(46, 290)(47, 293)(48, 295)(49, 294)(50, 296)(51, 298)(52, 244)(53, 299)(54, 297)(55, 245)(56, 246)(57, 247)(58, 248)(59, 292)(60, 249)(61, 300)(62, 250)(63, 251)(64, 309)(65, 311)(66, 310)(67, 313)(68, 314)(69, 312)(70, 257)(71, 258)(72, 259)(73, 319)(74, 260)(75, 320)(76, 262)(77, 315)(78, 321)(79, 316)(80, 322)(81, 323)(82, 318)(83, 267)(84, 269)(85, 272)(86, 273)(87, 274)(88, 275)(89, 276)(90, 277)(91, 278)(92, 279)(93, 308)(94, 280)(95, 307)(96, 282)(97, 306)(98, 324)(99, 285)(100, 286)(101, 287)(102, 288)(103, 303)(104, 302)(105, 304)(106, 317)(107, 305)(108, 301)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 18, 36 ), ( 18, 36, 18, 36, 18, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.2437
Graph:: simple bipartite
	v = 144 e = 216 f = 18
	degree seq :: [ 2^108, 6^36 ]

E28.2439 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x A4 (small group id <108, 18>)
Aut   = (C9 x A4) : C2 (small group id <216, 93>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y1^-2 * Y3 * Y1, (Y3 * Y2^-1)^3, (Y3^-1, Y1^-1)^2, Y1^-3 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-4, Y1^4 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3, (Y3^-1 * Y1^-1)^9 ]
Map::
	R = (1, 109, 2, 110, 6, 114, 16, 124, 36, 144, 64, 172, 93, 201, 81, 189, 106, 214, 80, 188, 105, 213, 79, 187, 104, 212, 87, 195, 56, 164, 29, 137, 12, 120, 4, 112)(3, 111, 9, 117, 17, 125, 39, 147, 65, 173, 96, 204, 92, 200, 60, 168, 78, 186, 48, 156, 77, 185, 46, 154, 76, 184, 101, 209, 83, 191, 52, 160, 26, 134, 10, 118)(5, 113, 14, 122, 18, 126, 40, 148, 66, 174, 97, 205, 85, 193, 54, 162, 75, 183, 43, 151, 74, 182, 41, 149, 73, 181, 98, 206, 88, 196, 58, 166, 30, 138, 15, 123)(7, 115, 19, 127, 37, 145, 67, 175, 94, 202, 91, 199, 63, 171, 35, 143, 62, 170, 33, 141, 61, 169, 72, 180, 103, 211, 86, 194, 55, 163, 28, 136, 11, 119, 20, 128)(8, 116, 21, 129, 38, 146, 68, 176, 95, 203, 82, 190, 51, 159, 25, 133, 50, 158, 23, 131, 49, 157, 69, 177, 102, 210, 89, 197, 57, 165, 31, 139, 13, 121, 22, 130)(24, 132, 42, 150, 70, 178, 99, 207, 108, 216, 90, 198, 59, 167, 34, 142, 47, 155, 32, 140, 45, 153, 71, 179, 100, 208, 107, 215, 84, 192, 53, 161, 27, 135, 44, 152)(217, 325)(218, 326)(219, 327)(220, 328)(221, 329)(222, 330)(223, 331)(224, 332)(225, 333)(226, 334)(227, 335)(228, 336)(229, 337)(230, 338)(231, 339)(232, 340)(233, 341)(234, 342)(235, 343)(236, 344)(237, 345)(238, 346)(239, 347)(240, 348)(241, 349)(242, 350)(243, 351)(244, 352)(245, 353)(246, 354)(247, 355)(248, 356)(249, 357)(250, 358)(251, 359)(252, 360)(253, 361)(254, 362)(255, 363)(256, 364)(257, 365)(258, 366)(259, 367)(260, 368)(261, 369)(262, 370)(263, 371)(264, 372)(265, 373)(266, 374)(267, 375)(268, 376)(269, 377)(270, 378)(271, 379)(272, 380)(273, 381)(274, 382)(275, 383)(276, 384)(277, 385)(278, 386)(279, 387)(280, 388)(281, 389)(282, 390)(283, 391)(284, 392)(285, 393)(286, 394)(287, 395)(288, 396)(289, 397)(290, 398)(291, 399)(292, 400)(293, 401)(294, 402)(295, 403)(296, 404)(297, 405)(298, 406)(299, 407)(300, 408)(301, 409)(302, 410)(303, 411)(304, 412)(305, 413)(306, 414)(307, 415)(308, 416)(309, 417)(310, 418)(311, 419)(312, 420)(313, 421)(314, 422)(315, 423)(316, 424)(317, 425)(318, 426)(319, 427)(320, 428)(321, 429)(322, 430)(323, 431)(324, 432)
	L = (1, 219)(2, 223)(3, 221)(4, 227)(5, 217)(6, 233)(7, 224)(8, 218)(9, 239)(10, 241)(11, 229)(12, 242)(13, 220)(14, 248)(15, 250)(16, 253)(17, 234)(18, 222)(19, 257)(20, 259)(21, 261)(22, 263)(23, 240)(24, 225)(25, 243)(26, 246)(27, 226)(28, 270)(29, 271)(30, 228)(31, 275)(32, 249)(33, 230)(34, 251)(35, 231)(36, 281)(37, 254)(38, 232)(39, 285)(40, 287)(41, 258)(42, 235)(43, 260)(44, 236)(45, 262)(46, 237)(47, 264)(48, 238)(49, 295)(50, 296)(51, 297)(52, 298)(53, 244)(54, 269)(55, 273)(56, 299)(57, 245)(58, 306)(59, 276)(60, 247)(61, 265)(62, 266)(63, 267)(64, 310)(65, 282)(66, 252)(67, 314)(68, 316)(69, 286)(70, 255)(71, 288)(72, 256)(73, 320)(74, 321)(75, 322)(76, 289)(77, 290)(78, 291)(79, 277)(80, 278)(81, 279)(82, 300)(83, 304)(84, 268)(85, 309)(86, 313)(87, 319)(88, 272)(89, 324)(90, 307)(91, 274)(92, 301)(93, 308)(94, 311)(95, 280)(96, 305)(97, 323)(98, 315)(99, 283)(100, 317)(101, 284)(102, 303)(103, 318)(104, 292)(105, 293)(106, 294)(107, 302)(108, 312)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 6, 18 ), ( 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.2436
Graph:: simple bipartite
	v = 114 e = 216 f = 48
	degree seq :: [ 2^108, 36^6 ]

E28.2440 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x A4 (small group id <108, 18>)
Aut   = (C9 x A4) : C2 (small group id <216, 93>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y1^2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^2 * Y1 * Y2^-2 * Y1^-1, (Y2^-1 * R * Y2^-1)^2, Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y1^-1, Y2^-3 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-4, Y2^3 * Y3 * Y2^3 * Y1^-1 * Y2^3 * Y1^-1, Y2^4 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1, (Y3 * Y2^-1)^9 ]
Map::
	R = (1, 109, 2, 110, 4, 112)(3, 111, 8, 116, 10, 118)(5, 113, 13, 121, 14, 122)(6, 114, 16, 124, 18, 126)(7, 115, 19, 127, 20, 128)(9, 117, 17, 125, 25, 133)(11, 119, 28, 136, 29, 137)(12, 120, 30, 138, 31, 139)(15, 123, 21, 129, 32, 140)(22, 130, 44, 152, 39, 147)(23, 131, 46, 154, 40, 148)(24, 132, 45, 153, 48, 156)(26, 134, 50, 158, 51, 159)(27, 135, 52, 160, 53, 161)(33, 141, 59, 167, 42, 150)(34, 142, 56, 164, 61, 169)(35, 143, 60, 168, 62, 170)(36, 144, 64, 172, 54, 162)(37, 145, 66, 174, 55, 163)(38, 146, 65, 173, 68, 176)(41, 149, 69, 177, 57, 165)(43, 151, 70, 178, 71, 179)(47, 155, 67, 175, 78, 186)(49, 157, 80, 188, 81, 189)(58, 166, 85, 193, 86, 194)(63, 171, 72, 180, 87, 195)(73, 181, 93, 201, 82, 190)(74, 182, 94, 202, 83, 191)(75, 183, 103, 211, 98, 206)(76, 184, 96, 204, 84, 192)(77, 185, 104, 212, 100, 208)(79, 187, 106, 214, 102, 210)(88, 196, 99, 207, 90, 198)(89, 197, 105, 213, 101, 209)(91, 199, 108, 216, 97, 205)(92, 200, 107, 215, 95, 203)(217, 325, 219, 327, 225, 333, 240, 348, 263, 371, 293, 401, 315, 423, 285, 393, 312, 420, 282, 390, 310, 418, 280, 388, 309, 417, 308, 416, 279, 387, 251, 359, 231, 339, 221, 329)(218, 326, 222, 330, 233, 341, 254, 362, 283, 391, 313, 421, 306, 414, 277, 385, 300, 408, 269, 377, 299, 407, 267, 375, 298, 406, 318, 426, 288, 396, 259, 367, 237, 345, 223, 331)(220, 328, 227, 335, 241, 349, 265, 373, 294, 402, 321, 429, 304, 412, 275, 383, 292, 400, 262, 370, 290, 398, 260, 368, 289, 397, 319, 427, 303, 411, 274, 382, 248, 356, 228, 336)(224, 332, 238, 346, 261, 369, 291, 399, 320, 428, 302, 410, 273, 381, 247, 355, 271, 379, 245, 353, 270, 378, 297, 405, 323, 431, 305, 413, 276, 384, 249, 357, 229, 337, 239, 347)(226, 334, 242, 350, 264, 372, 295, 403, 316, 424, 286, 394, 257, 365, 235, 343, 253, 361, 232, 340, 252, 360, 281, 389, 311, 419, 307, 415, 278, 386, 250, 358, 230, 338, 243, 351)(234, 342, 255, 363, 284, 392, 314, 422, 324, 432, 301, 409, 272, 380, 246, 354, 268, 376, 244, 352, 266, 374, 296, 404, 322, 430, 317, 425, 287, 395, 258, 366, 236, 344, 256, 364)
	L = (1, 220)(2, 217)(3, 226)(4, 218)(5, 230)(6, 234)(7, 236)(8, 219)(9, 241)(10, 224)(11, 245)(12, 247)(13, 221)(14, 229)(15, 248)(16, 222)(17, 225)(18, 232)(19, 223)(20, 235)(21, 231)(22, 255)(23, 256)(24, 264)(25, 233)(26, 267)(27, 269)(28, 227)(29, 244)(30, 228)(31, 246)(32, 237)(33, 258)(34, 277)(35, 278)(36, 270)(37, 271)(38, 284)(39, 260)(40, 262)(41, 273)(42, 275)(43, 287)(44, 238)(45, 240)(46, 239)(47, 294)(48, 261)(49, 297)(50, 242)(51, 266)(52, 243)(53, 268)(54, 280)(55, 282)(56, 250)(57, 285)(58, 302)(59, 249)(60, 251)(61, 272)(62, 276)(63, 303)(64, 252)(65, 254)(66, 253)(67, 263)(68, 281)(69, 257)(70, 259)(71, 286)(72, 279)(73, 298)(74, 299)(75, 314)(76, 300)(77, 316)(78, 283)(79, 318)(80, 265)(81, 296)(82, 309)(83, 310)(84, 312)(85, 274)(86, 301)(87, 288)(88, 306)(89, 317)(90, 315)(91, 313)(92, 311)(93, 289)(94, 290)(95, 323)(96, 292)(97, 324)(98, 319)(99, 304)(100, 320)(101, 321)(102, 322)(103, 291)(104, 293)(105, 305)(106, 295)(107, 308)(108, 307)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 18, 2, 18, 2, 18 ), ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.2441
Graph:: bipartite
	v = 42 e = 216 f = 120
	degree seq :: [ 6^36, 36^6 ]

E28.2441 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 18})
Quotient :: dipole
Aut^+ = C9 x A4 (small group id <108, 18>)
Aut   = (C9 x A4) : C2 (small group id <216, 93>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y3^-2 * Y1^-1 * Y3, (Y1 * Y3)^3, Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1 * Y3^-1, Y1^3 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1, (Y3^-2 * Y1)^3, Y1^9, (Y1^2 * Y3^-1)^3, (Y3 * Y2^-1)^18 ]
Map::
	R = (1, 109, 2, 110, 6, 114, 18, 126, 46, 154, 81, 189, 38, 146, 13, 121, 4, 112)(3, 111, 9, 117, 27, 135, 47, 155, 89, 197, 62, 170, 75, 183, 33, 141, 11, 119)(5, 113, 15, 123, 42, 150, 48, 156, 78, 186, 98, 206, 82, 190, 44, 152, 16, 124)(7, 115, 21, 129, 55, 163, 88, 196, 84, 192, 80, 188, 37, 145, 59, 167, 23, 131)(8, 116, 24, 132, 61, 169, 73, 181, 32, 140, 72, 180, 39, 147, 63, 171, 25, 133)(10, 118, 22, 130, 50, 158, 90, 198, 106, 214, 102, 210, 87, 195, 71, 179, 31, 139)(12, 120, 35, 143, 51, 159, 19, 127, 49, 157, 43, 151, 85, 193, 79, 187, 36, 144)(14, 122, 40, 148, 53, 161, 20, 128, 52, 160, 74, 182, 97, 205, 58, 166, 28, 136)(17, 125, 26, 134, 54, 162, 68, 176, 95, 203, 108, 216, 105, 213, 83, 191, 41, 149)(29, 137, 67, 175, 94, 202, 104, 212, 70, 178, 103, 211, 76, 184, 92, 200, 60, 168)(30, 138, 66, 174, 99, 207, 107, 215, 93, 201, 56, 164, 45, 153, 86, 194, 69, 177)(34, 142, 77, 185, 101, 209, 65, 173, 91, 199, 64, 172, 100, 208, 96, 204, 57, 165)(217, 325)(218, 326)(219, 327)(220, 328)(221, 329)(222, 330)(223, 331)(224, 332)(225, 333)(226, 334)(227, 335)(228, 336)(229, 337)(230, 338)(231, 339)(232, 340)(233, 341)(234, 342)(235, 343)(236, 344)(237, 345)(238, 346)(239, 347)(240, 348)(241, 349)(242, 350)(243, 351)(244, 352)(245, 353)(246, 354)(247, 355)(248, 356)(249, 357)(250, 358)(251, 359)(252, 360)(253, 361)(254, 362)(255, 363)(256, 364)(257, 365)(258, 366)(259, 367)(260, 368)(261, 369)(262, 370)(263, 371)(264, 372)(265, 373)(266, 374)(267, 375)(268, 376)(269, 377)(270, 378)(271, 379)(272, 380)(273, 381)(274, 382)(275, 383)(276, 384)(277, 385)(278, 386)(279, 387)(280, 388)(281, 389)(282, 390)(283, 391)(284, 392)(285, 393)(286, 394)(287, 395)(288, 396)(289, 397)(290, 398)(291, 399)(292, 400)(293, 401)(294, 402)(295, 403)(296, 404)(297, 405)(298, 406)(299, 407)(300, 408)(301, 409)(302, 410)(303, 411)(304, 412)(305, 413)(306, 414)(307, 415)(308, 416)(309, 417)(310, 418)(311, 419)(312, 420)(313, 421)(314, 422)(315, 423)(316, 424)(317, 425)(318, 426)(319, 427)(320, 428)(321, 429)(322, 430)(323, 431)(324, 432)
	L = (1, 219)(2, 223)(3, 226)(4, 228)(5, 217)(6, 235)(7, 238)(8, 218)(9, 244)(10, 246)(11, 248)(12, 247)(13, 253)(14, 220)(15, 245)(16, 250)(17, 221)(18, 263)(19, 266)(20, 222)(21, 232)(22, 273)(23, 274)(24, 272)(25, 276)(26, 224)(27, 279)(28, 282)(29, 225)(30, 284)(31, 286)(32, 285)(33, 290)(34, 227)(35, 288)(36, 294)(37, 287)(38, 291)(39, 229)(40, 293)(41, 230)(42, 281)(43, 231)(44, 292)(45, 233)(46, 304)(47, 306)(48, 234)(49, 241)(50, 308)(51, 260)(52, 307)(53, 309)(54, 236)(55, 256)(56, 237)(57, 311)(58, 312)(59, 314)(60, 239)(61, 310)(62, 240)(63, 315)(64, 242)(65, 243)(66, 252)(67, 257)(68, 264)(69, 300)(70, 270)(71, 280)(72, 319)(73, 262)(74, 302)(75, 303)(76, 249)(77, 251)(78, 320)(79, 277)(80, 268)(81, 301)(82, 254)(83, 255)(84, 258)(85, 318)(86, 259)(87, 261)(88, 322)(89, 269)(90, 323)(91, 265)(92, 324)(93, 267)(94, 271)(95, 289)(96, 295)(97, 297)(98, 316)(99, 275)(100, 278)(101, 299)(102, 283)(103, 296)(104, 305)(105, 298)(106, 317)(107, 321)(108, 313)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 6, 36 ), ( 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36, 6, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.2440
Graph:: simple bipartite
	v = 120 e = 216 f = 42
	degree seq :: [ 2^108, 18^12 ]

E28.2442 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 9, 18})
Quotient :: edge
Aut^+ = (C18 x C2) : C3 (small group id <108, 19>)
Aut   = (C18 x C2) : C3 (small group id <108, 19>)
|r| :: 1
Presentation :: [ X1^3, X2^2 * X1 * X2^-1 * X1 * X2^-1 * X1, X2^9, X2^-1 * X1^-1 * X2^2 * X1^-1 * X2 * X1 * X2 * X1, (X2^2 * X1 * X2 * X1^-1)^2, (X2^-1 * X1^-1)^18 ]
Map:: non-degenerate
	R = (1, 2, 4)(3, 8, 10)(5, 13, 14)(6, 16, 18)(7, 19, 20)(9, 24, 26)(11, 29, 31)(12, 32, 33)(15, 39, 40)(17, 27, 45)(21, 50, 51)(22, 53, 55)(23, 37, 56)(25, 44, 60)(28, 64, 65)(30, 46, 68)(34, 71, 36)(35, 73, 74)(38, 76, 77)(41, 52, 72)(42, 82, 83)(43, 48, 75)(47, 54, 61)(49, 86, 87)(57, 95, 66)(58, 89, 88)(59, 91, 97)(62, 99, 70)(63, 92, 100)(67, 69, 80)(78, 85, 79)(81, 103, 105)(84, 102, 107)(90, 106, 108)(93, 96, 98)(94, 104, 101)(109, 111, 117, 133, 167, 189, 149, 123, 113)(110, 114, 125, 152, 192, 198, 160, 129, 115)(112, 119, 138, 168, 206, 209, 180, 142, 120)(116, 130, 162, 199, 191, 187, 147, 165, 131)(118, 135, 171, 205, 214, 188, 148, 127, 136)(121, 143, 139, 132, 166, 204, 211, 183, 144)(122, 145, 170, 134, 169, 195, 213, 186, 146)(124, 150, 181, 210, 203, 197, 158, 161, 151)(126, 154, 193, 215, 202, 164, 159, 140, 155)(128, 156, 184, 153, 182, 207, 216, 196, 157)(137, 174, 172, 201, 163, 200, 179, 190, 175)(141, 177, 194, 176, 173, 185, 212, 208, 178)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 36^3 ), ( 36^9 ) }
Outer automorphisms :: chiral
Dual of E28.2447
Transitivity :: ET+
Graph:: simple bipartite
	v = 48 e = 108 f = 6
	degree seq :: [ 3^36, 9^12 ]

E28.2443 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 9, 18})
Quotient :: edge
Aut^+ = (C18 x C2) : C3 (small group id <108, 19>)
Aut   = (C18 x C2) : C3 (small group id <108, 19>)
|r| :: 1
Presentation :: [ (X1 * X2)^3, X2 * X1^-2 * X2^-2 * X1^-1 * X2, X2^-1 * X1^3 * X2 * X1^-3, X2^3 * X1 * X2^2 * X1^-1 * X2, X1^-1 * X2^-1 * X1 * X2^-1 * X1^-2 * X2^-1 * X1^-1, X1^-1 * X2^-1 * X1^2 * X2 * X1^-1 * X2^-3, X1 * X2^-1 * X1^4 * X2^-1 * X1 * X2^-1, (X1^2 * X2^-1)^3, X1^9 ]
Map:: polytopal non-degenerate
	R = (1, 2, 6, 18, 52, 95, 40, 13, 4)(3, 9, 27, 53, 104, 69, 85, 34, 11)(5, 15, 44, 54, 76, 87, 96, 48, 16)(7, 21, 60, 78, 99, 94, 39, 65, 23)(8, 24, 67, 83, 33, 82, 41, 71, 25)(10, 30, 37, 89, 93, 56, 63, 22, 32)(12, 36, 57, 19, 55, 46, 81, 91, 38)(14, 42, 59, 20, 58, 84, 107, 64, 28)(17, 49, 101, 72, 26, 43, 97, 102, 50)(29, 75, 108, 100, 80, 66, 45, 90, 70)(31, 79, 61, 106, 92, 103, 51, 74, 68)(35, 86, 73, 47, 88, 62, 98, 105, 77)(109, 111, 118, 139, 180, 162, 126, 161, 197, 214, 205, 204, 148, 193, 171, 159, 125, 113)(110, 115, 130, 170, 210, 191, 160, 186, 138, 185, 157, 149, 121, 147, 201, 181, 134, 116)(112, 120, 145, 198, 158, 128, 114, 127, 164, 183, 209, 215, 203, 189, 140, 188, 151, 122)(117, 136, 182, 165, 156, 208, 212, 167, 187, 154, 123, 153, 142, 192, 200, 146, 184, 137)(119, 141, 169, 129, 124, 155, 135, 179, 211, 207, 152, 206, 177, 132, 176, 173, 195, 143)(131, 172, 213, 163, 133, 178, 168, 150, 194, 199, 175, 216, 202, 166, 196, 144, 190, 174)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 6^9 ), ( 6^18 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 9^12, 18^6 ]

E28.2444 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 9, 18})
Quotient :: edge
Aut^+ = (C18 x C2) : C3 (small group id <108, 19>)
Aut   = (C18 x C2) : C3 (small group id <108, 19>)
|r| :: 1
Presentation :: [ X2^3, X1^-1 * X2^-1 * X1^-1 * X2 * X1 * X2^-1 * X1 * X2, X1 * X2^-1 * X1^-1 * X2^-1 * X1^3 * X2^-1, X2 * X1^-1 * X2 * X1 * X2 * X1^3, X1^4 * X2 * X1^2 * X2^-1, X1^-2 * X2^-1 * X1 * X2 * X1^-2 * X2^-1 * X1 * X2 * X1^-4 ]
Map:: non-degenerate
	R = (1, 2, 6, 16, 42, 80, 104, 96, 74, 89, 77, 92, 106, 94, 63, 32, 12, 4)(3, 9, 23, 61, 78, 103, 84, 46, 17, 45, 31, 57, 91, 101, 75, 60, 27, 10)(5, 14, 36, 52, 33, 71, 99, 70, 62, 93, 67, 50, 86, 48, 18, 47, 40, 15)(7, 19, 49, 38, 76, 102, 79, 41, 43, 30, 11, 29, 69, 97, 90, 87, 53, 20)(8, 21, 55, 35, 13, 34, 66, 26, 65, 95, 88, 82, 98, 81, 44, 24, 59, 22)(25, 51, 83, 68, 28, 54, 73, 39, 58, 85, 105, 107, 108, 100, 72, 37, 56, 64)(109, 111, 113)(110, 115, 116)(112, 119, 121)(114, 125, 126)(117, 132, 133)(118, 134, 136)(120, 139, 141)(122, 145, 146)(123, 147, 149)(124, 151, 152)(127, 158, 159)(128, 160, 162)(129, 164, 165)(130, 166, 168)(131, 170, 171)(135, 175, 150)(137, 155, 172)(138, 178, 176)(140, 157, 173)(142, 180, 169)(143, 181, 154)(144, 182, 183)(148, 185, 186)(153, 190, 191)(156, 193, 195)(161, 196, 188)(163, 197, 198)(167, 200, 184)(174, 204, 187)(177, 206, 202)(179, 208, 205)(189, 213, 211)(192, 207, 212)(194, 214, 199)(201, 215, 210)(203, 216, 209)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 18^3 ), ( 18^18 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 42 e = 108 f = 12
	degree seq :: [ 3^36, 18^6 ]

E28.2445 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 9, 18})
Quotient :: loop
Aut^+ = (C18 x C2) : C3 (small group id <108, 19>)
Aut   = (C18 x C2) : C3 (small group id <108, 19>)
|r| :: 1
Presentation :: [ X1^3, X2^2 * X1 * X2^-1 * X1 * X2^-1 * X1, X2^9, X2^-1 * X1^-1 * X2^2 * X1^-1 * X2 * X1 * X2 * X1, (X2^2 * X1 * X2 * X1^-1)^2, (X2^-1 * X1^-1)^18 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110, 4, 112)(3, 111, 8, 116, 10, 118)(5, 113, 13, 121, 14, 122)(6, 114, 16, 124, 18, 126)(7, 115, 19, 127, 20, 128)(9, 117, 24, 132, 26, 134)(11, 119, 29, 137, 31, 139)(12, 120, 32, 140, 33, 141)(15, 123, 39, 147, 40, 148)(17, 125, 27, 135, 45, 153)(21, 129, 50, 158, 51, 159)(22, 130, 53, 161, 55, 163)(23, 131, 37, 145, 56, 164)(25, 133, 44, 152, 60, 168)(28, 136, 64, 172, 65, 173)(30, 138, 46, 154, 68, 176)(34, 142, 71, 179, 36, 144)(35, 143, 73, 181, 74, 182)(38, 146, 76, 184, 77, 185)(41, 149, 52, 160, 72, 180)(42, 150, 82, 190, 83, 191)(43, 151, 48, 156, 75, 183)(47, 155, 54, 162, 61, 169)(49, 157, 86, 194, 87, 195)(57, 165, 95, 203, 66, 174)(58, 166, 89, 197, 88, 196)(59, 167, 91, 199, 97, 205)(62, 170, 99, 207, 70, 178)(63, 171, 92, 200, 100, 208)(67, 175, 69, 177, 80, 188)(78, 186, 85, 193, 79, 187)(81, 189, 103, 211, 105, 213)(84, 192, 102, 210, 107, 215)(90, 198, 106, 214, 108, 216)(93, 201, 96, 204, 98, 206)(94, 202, 104, 212, 101, 209)
	L = (1, 111)(2, 114)(3, 117)(4, 119)(5, 109)(6, 125)(7, 110)(8, 130)(9, 133)(10, 135)(11, 138)(12, 112)(13, 143)(14, 145)(15, 113)(16, 150)(17, 152)(18, 154)(19, 136)(20, 156)(21, 115)(22, 162)(23, 116)(24, 166)(25, 167)(26, 169)(27, 171)(28, 118)(29, 174)(30, 168)(31, 132)(32, 155)(33, 177)(34, 120)(35, 139)(36, 121)(37, 170)(38, 122)(39, 165)(40, 127)(41, 123)(42, 181)(43, 124)(44, 192)(45, 182)(46, 193)(47, 126)(48, 184)(49, 128)(50, 161)(51, 140)(52, 129)(53, 151)(54, 199)(55, 200)(56, 159)(57, 131)(58, 204)(59, 189)(60, 206)(61, 195)(62, 134)(63, 205)(64, 201)(65, 185)(66, 172)(67, 137)(68, 173)(69, 194)(70, 141)(71, 190)(72, 142)(73, 210)(74, 207)(75, 144)(76, 153)(77, 212)(78, 146)(79, 147)(80, 148)(81, 149)(82, 175)(83, 187)(84, 198)(85, 215)(86, 176)(87, 213)(88, 157)(89, 158)(90, 160)(91, 191)(92, 179)(93, 163)(94, 164)(95, 197)(96, 211)(97, 214)(98, 209)(99, 216)(100, 178)(101, 180)(102, 203)(103, 183)(104, 208)(105, 186)(106, 188)(107, 202)(108, 196)
	local type(s) :: { ( 9, 18, 9, 18, 9, 18 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: simple
	v = 36 e = 108 f = 18
	degree seq :: [ 6^36 ]

E28.2446 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 9, 18})
Quotient :: loop
Aut^+ = (C18 x C2) : C3 (small group id <108, 19>)
Aut   = (C18 x C2) : C3 (small group id <108, 19>)
|r| :: 1
Presentation :: [ (X1 * X2)^3, X2 * X1^-2 * X2^-2 * X1^-1 * X2, X2^-1 * X1^3 * X2 * X1^-3, X2^3 * X1 * X2^2 * X1^-1 * X2, X1^-1 * X2^-1 * X1 * X2^-1 * X1^-2 * X2^-1 * X1^-1, X1^-1 * X2^-1 * X1^2 * X2 * X1^-1 * X2^-3, X1 * X2^-1 * X1^4 * X2^-1 * X1 * X2^-1, (X1^2 * X2^-1)^3, X1^9 ]
Map:: non-degenerate
	R = (1, 109, 2, 110, 6, 114, 18, 126, 52, 160, 95, 203, 40, 148, 13, 121, 4, 112)(3, 111, 9, 117, 27, 135, 53, 161, 104, 212, 69, 177, 85, 193, 34, 142, 11, 119)(5, 113, 15, 123, 44, 152, 54, 162, 76, 184, 87, 195, 96, 204, 48, 156, 16, 124)(7, 115, 21, 129, 60, 168, 78, 186, 99, 207, 94, 202, 39, 147, 65, 173, 23, 131)(8, 116, 24, 132, 67, 175, 83, 191, 33, 141, 82, 190, 41, 149, 71, 179, 25, 133)(10, 118, 30, 138, 37, 145, 89, 197, 93, 201, 56, 164, 63, 171, 22, 130, 32, 140)(12, 120, 36, 144, 57, 165, 19, 127, 55, 163, 46, 154, 81, 189, 91, 199, 38, 146)(14, 122, 42, 150, 59, 167, 20, 128, 58, 166, 84, 192, 107, 215, 64, 172, 28, 136)(17, 125, 49, 157, 101, 209, 72, 180, 26, 134, 43, 151, 97, 205, 102, 210, 50, 158)(29, 137, 75, 183, 108, 216, 100, 208, 80, 188, 66, 174, 45, 153, 90, 198, 70, 178)(31, 139, 79, 187, 61, 169, 106, 214, 92, 200, 103, 211, 51, 159, 74, 182, 68, 176)(35, 143, 86, 194, 73, 181, 47, 155, 88, 196, 62, 170, 98, 206, 105, 213, 77, 185)
	L = (1, 111)(2, 115)(3, 118)(4, 120)(5, 109)(6, 127)(7, 130)(8, 110)(9, 136)(10, 139)(11, 141)(12, 145)(13, 147)(14, 112)(15, 153)(16, 155)(17, 113)(18, 161)(19, 164)(20, 114)(21, 124)(22, 170)(23, 172)(24, 176)(25, 178)(26, 116)(27, 179)(28, 182)(29, 117)(30, 185)(31, 180)(32, 188)(33, 169)(34, 192)(35, 119)(36, 190)(37, 198)(38, 184)(39, 201)(40, 193)(41, 121)(42, 194)(43, 122)(44, 206)(45, 142)(46, 123)(47, 135)(48, 208)(49, 149)(50, 128)(51, 125)(52, 186)(53, 197)(54, 126)(55, 133)(56, 183)(57, 156)(58, 196)(59, 187)(60, 150)(61, 129)(62, 210)(63, 159)(64, 213)(65, 195)(66, 131)(67, 216)(68, 173)(69, 132)(70, 168)(71, 211)(72, 162)(73, 134)(74, 165)(75, 209)(76, 137)(77, 157)(78, 138)(79, 154)(80, 151)(81, 140)(82, 174)(83, 160)(84, 200)(85, 171)(86, 199)(87, 143)(88, 144)(89, 214)(90, 158)(91, 175)(92, 146)(93, 181)(94, 166)(95, 189)(96, 148)(97, 204)(98, 177)(99, 152)(100, 212)(101, 215)(102, 191)(103, 207)(104, 167)(105, 163)(106, 205)(107, 203)(108, 202)
	local type(s) :: { ( 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph::
	v = 12 e = 108 f = 42
	degree seq :: [ 18^12 ]

E28.2447 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 9, 18})
Quotient :: loop
Aut^+ = (C18 x C2) : C3 (small group id <108, 19>)
Aut   = (C18 x C2) : C3 (small group id <108, 19>)
|r| :: 1
Presentation :: [ X2^3, X1^-1 * X2^-1 * X1^-1 * X2 * X1 * X2^-1 * X1 * X2, X1 * X2^-1 * X1^-1 * X2^-1 * X1^3 * X2^-1, X2 * X1^-1 * X2 * X1 * X2 * X1^3, X1^4 * X2 * X1^2 * X2^-1, X1^-2 * X2^-1 * X1 * X2 * X1^-2 * X2^-1 * X1 * X2 * X1^-4 ]
Map:: non-degenerate
	R = (1, 109, 2, 110, 6, 114, 16, 124, 42, 150, 80, 188, 104, 212, 96, 204, 74, 182, 89, 197, 77, 185, 92, 200, 106, 214, 94, 202, 63, 171, 32, 140, 12, 120, 4, 112)(3, 111, 9, 117, 23, 131, 61, 169, 78, 186, 103, 211, 84, 192, 46, 154, 17, 125, 45, 153, 31, 139, 57, 165, 91, 199, 101, 209, 75, 183, 60, 168, 27, 135, 10, 118)(5, 113, 14, 122, 36, 144, 52, 160, 33, 141, 71, 179, 99, 207, 70, 178, 62, 170, 93, 201, 67, 175, 50, 158, 86, 194, 48, 156, 18, 126, 47, 155, 40, 148, 15, 123)(7, 115, 19, 127, 49, 157, 38, 146, 76, 184, 102, 210, 79, 187, 41, 149, 43, 151, 30, 138, 11, 119, 29, 137, 69, 177, 97, 205, 90, 198, 87, 195, 53, 161, 20, 128)(8, 116, 21, 129, 55, 163, 35, 143, 13, 121, 34, 142, 66, 174, 26, 134, 65, 173, 95, 203, 88, 196, 82, 190, 98, 206, 81, 189, 44, 152, 24, 132, 59, 167, 22, 130)(25, 133, 51, 159, 83, 191, 68, 176, 28, 136, 54, 162, 73, 181, 39, 147, 58, 166, 85, 193, 105, 213, 107, 215, 108, 216, 100, 208, 72, 180, 37, 145, 56, 164, 64, 172)
	L = (1, 111)(2, 115)(3, 113)(4, 119)(5, 109)(6, 125)(7, 116)(8, 110)(9, 132)(10, 134)(11, 121)(12, 139)(13, 112)(14, 145)(15, 147)(16, 151)(17, 126)(18, 114)(19, 158)(20, 160)(21, 164)(22, 166)(23, 170)(24, 133)(25, 117)(26, 136)(27, 175)(28, 118)(29, 155)(30, 178)(31, 141)(32, 157)(33, 120)(34, 180)(35, 181)(36, 182)(37, 146)(38, 122)(39, 149)(40, 185)(41, 123)(42, 135)(43, 152)(44, 124)(45, 190)(46, 143)(47, 172)(48, 193)(49, 173)(50, 159)(51, 127)(52, 162)(53, 196)(54, 128)(55, 197)(56, 165)(57, 129)(58, 168)(59, 200)(60, 130)(61, 142)(62, 171)(63, 131)(64, 137)(65, 140)(66, 204)(67, 150)(68, 138)(69, 206)(70, 176)(71, 208)(72, 169)(73, 154)(74, 183)(75, 144)(76, 167)(77, 186)(78, 148)(79, 174)(80, 161)(81, 213)(82, 191)(83, 153)(84, 207)(85, 195)(86, 214)(87, 156)(88, 188)(89, 198)(90, 163)(91, 194)(92, 184)(93, 215)(94, 177)(95, 216)(96, 187)(97, 179)(98, 202)(99, 212)(100, 205)(101, 203)(102, 201)(103, 189)(104, 192)(105, 211)(106, 199)(107, 210)(108, 209)
	local type(s) :: { ( 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9 ) }
Outer automorphisms :: chiral
Dual of E28.2442
Transitivity :: ET+ VT+
Graph::
	v = 6 e = 108 f = 48
	degree seq :: [ 36^6 ]

E28.2448 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 56})
Quotient :: dipole
Aut^+ = D112 (small group id <112, 6>)
Aut   = C2 x D112 (small group id <224, 98>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (Y2 * Y1)^2, (R * Y1)^2, Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 ]
Map:: non-degenerate
	R = (1, 113, 2, 114)(3, 115, 5, 117)(4, 116, 8, 120)(6, 118, 10, 122)(7, 119, 11, 123)(9, 121, 13, 125)(12, 124, 16, 128)(14, 126, 18, 130)(15, 127, 19, 131)(17, 129, 21, 133)(20, 132, 24, 136)(22, 134, 26, 138)(23, 135, 27, 139)(25, 137, 29, 141)(28, 140, 32, 144)(30, 142, 47, 159)(31, 143, 49, 161)(33, 145, 51, 163)(34, 146, 53, 165)(35, 147, 55, 167)(36, 148, 57, 169)(37, 149, 59, 171)(38, 150, 61, 173)(39, 151, 63, 175)(40, 152, 65, 177)(41, 153, 67, 179)(42, 154, 69, 181)(43, 155, 71, 183)(44, 156, 73, 185)(45, 157, 75, 187)(46, 158, 77, 189)(48, 160, 79, 191)(50, 162, 81, 193)(52, 164, 83, 195)(54, 166, 85, 197)(56, 168, 87, 199)(58, 170, 89, 201)(60, 172, 91, 203)(62, 174, 93, 205)(64, 176, 95, 207)(66, 178, 97, 209)(68, 180, 99, 211)(70, 182, 101, 213)(72, 184, 103, 215)(74, 186, 105, 217)(76, 188, 107, 219)(78, 190, 109, 221)(80, 192, 110, 222)(82, 194, 111, 223)(84, 196, 112, 224)(86, 198, 108, 220)(88, 200, 106, 218)(90, 202, 104, 216)(92, 204, 102, 214)(94, 206, 100, 212)(96, 208, 98, 210)(225, 337, 227, 339)(226, 338, 229, 341)(228, 340, 231, 343)(230, 342, 233, 345)(232, 344, 235, 347)(234, 346, 237, 349)(236, 348, 239, 351)(238, 350, 241, 353)(240, 352, 243, 355)(242, 354, 245, 357)(244, 356, 247, 359)(246, 358, 249, 361)(248, 360, 251, 363)(250, 362, 253, 365)(252, 364, 255, 367)(254, 366, 257, 369)(256, 368, 273, 385)(258, 370, 260, 372)(259, 371, 261, 373)(262, 374, 264, 376)(263, 375, 265, 377)(266, 378, 268, 380)(267, 379, 269, 381)(270, 382, 274, 386)(271, 383, 275, 387)(272, 384, 276, 388)(277, 389, 281, 393)(278, 390, 282, 394)(279, 391, 283, 395)(280, 392, 284, 396)(285, 397, 289, 401)(286, 398, 290, 402)(287, 399, 291, 403)(288, 400, 292, 404)(293, 405, 297, 409)(294, 406, 298, 410)(295, 407, 299, 411)(296, 408, 300, 412)(301, 413, 305, 417)(302, 414, 306, 418)(303, 415, 307, 419)(304, 416, 308, 420)(309, 421, 313, 425)(310, 422, 314, 426)(311, 423, 315, 427)(312, 424, 316, 428)(317, 429, 321, 433)(318, 430, 322, 434)(319, 431, 323, 435)(320, 432, 324, 436)(325, 437, 329, 441)(326, 438, 330, 442)(327, 439, 331, 443)(328, 440, 332, 444)(333, 445, 335, 447)(334, 446, 336, 448)
	L = (1, 228)(2, 230)(3, 231)(4, 225)(5, 233)(6, 226)(7, 227)(8, 236)(9, 229)(10, 238)(11, 239)(12, 232)(13, 241)(14, 234)(15, 235)(16, 244)(17, 237)(18, 246)(19, 247)(20, 240)(21, 249)(22, 242)(23, 243)(24, 252)(25, 245)(26, 254)(27, 255)(28, 248)(29, 257)(30, 250)(31, 251)(32, 260)(33, 253)(34, 273)(35, 275)(36, 256)(37, 271)(38, 277)(39, 279)(40, 281)(41, 283)(42, 285)(43, 287)(44, 289)(45, 291)(46, 293)(47, 261)(48, 295)(49, 258)(50, 297)(51, 259)(52, 299)(53, 262)(54, 305)(55, 263)(56, 307)(57, 264)(58, 301)(59, 265)(60, 303)(61, 266)(62, 309)(63, 267)(64, 311)(65, 268)(66, 313)(67, 269)(68, 315)(69, 270)(70, 317)(71, 272)(72, 319)(73, 274)(74, 321)(75, 276)(76, 323)(77, 282)(78, 325)(79, 284)(80, 327)(81, 278)(82, 329)(83, 280)(84, 331)(85, 286)(86, 335)(87, 288)(88, 336)(89, 290)(90, 333)(91, 292)(92, 334)(93, 294)(94, 332)(95, 296)(96, 330)(97, 298)(98, 328)(99, 300)(100, 326)(101, 302)(102, 324)(103, 304)(104, 322)(105, 306)(106, 320)(107, 308)(108, 318)(109, 314)(110, 316)(111, 310)(112, 312)(113, 337)(114, 338)(115, 339)(116, 340)(117, 341)(118, 342)(119, 343)(120, 344)(121, 345)(122, 346)(123, 347)(124, 348)(125, 349)(126, 350)(127, 351)(128, 352)(129, 353)(130, 354)(131, 355)(132, 356)(133, 357)(134, 358)(135, 359)(136, 360)(137, 361)(138, 362)(139, 363)(140, 364)(141, 365)(142, 366)(143, 367)(144, 368)(145, 369)(146, 370)(147, 371)(148, 372)(149, 373)(150, 374)(151, 375)(152, 376)(153, 377)(154, 378)(155, 379)(156, 380)(157, 381)(158, 382)(159, 383)(160, 384)(161, 385)(162, 386)(163, 387)(164, 388)(165, 389)(166, 390)(167, 391)(168, 392)(169, 393)(170, 394)(171, 395)(172, 396)(173, 397)(174, 398)(175, 399)(176, 400)(177, 401)(178, 402)(179, 403)(180, 404)(181, 405)(182, 406)(183, 407)(184, 408)(185, 409)(186, 410)(187, 411)(188, 412)(189, 413)(190, 414)(191, 415)(192, 416)(193, 417)(194, 418)(195, 419)(196, 420)(197, 421)(198, 422)(199, 423)(200, 424)(201, 425)(202, 426)(203, 427)(204, 428)(205, 429)(206, 430)(207, 431)(208, 432)(209, 433)(210, 434)(211, 435)(212, 436)(213, 437)(214, 438)(215, 439)(216, 440)(217, 441)(218, 442)(219, 443)(220, 444)(221, 445)(222, 446)(223, 447)(224, 448)
	local type(s) :: { ( 4, 112, 4, 112 ) }
Outer automorphisms :: reflexible
Dual of E28.2449
Graph:: simple bipartite
	v = 112 e = 224 f = 58
	degree seq :: [ 4^112 ]

E28.2449 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 56})
Quotient :: dipole
Aut^+ = D112 (small group id <112, 6>)
Aut   = C2 x D112 (small group id <224, 98>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (Y1^-1 * Y2)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, (R * Y1)^2, (Y3 * Y2)^2, Y2 * Y3 * Y1^28, Y1^-1 * Y2 * Y1^13 * Y3 * Y1^-14 ]
Map:: non-degenerate
	R = (1, 113, 2, 114, 6, 118, 13, 125, 21, 133, 29, 141, 37, 149, 45, 157, 53, 165, 61, 173, 69, 181, 77, 189, 85, 197, 93, 205, 101, 213, 109, 221, 106, 218, 98, 210, 90, 202, 82, 194, 74, 186, 66, 178, 58, 170, 50, 162, 42, 154, 34, 146, 26, 138, 18, 130, 10, 122, 16, 128, 24, 136, 32, 144, 40, 152, 48, 160, 56, 168, 64, 176, 72, 184, 80, 192, 88, 200, 96, 208, 104, 216, 112, 224, 108, 220, 100, 212, 92, 204, 84, 196, 76, 188, 68, 180, 60, 172, 52, 164, 44, 156, 36, 148, 28, 140, 20, 132, 12, 124, 5, 117)(3, 115, 9, 121, 17, 129, 25, 137, 33, 145, 41, 153, 49, 161, 57, 169, 65, 177, 73, 185, 81, 193, 89, 201, 97, 209, 105, 217, 111, 223, 103, 215, 95, 207, 87, 199, 79, 191, 71, 183, 63, 175, 55, 167, 47, 159, 39, 151, 31, 143, 23, 135, 15, 127, 8, 120, 4, 116, 11, 123, 19, 131, 27, 139, 35, 147, 43, 155, 51, 163, 59, 171, 67, 179, 75, 187, 83, 195, 91, 203, 99, 211, 107, 219, 110, 222, 102, 214, 94, 206, 86, 198, 78, 190, 70, 182, 62, 174, 54, 166, 46, 158, 38, 150, 30, 142, 22, 134, 14, 126, 7, 119)(225, 337, 227, 339)(226, 338, 231, 343)(228, 340, 234, 346)(229, 341, 233, 345)(230, 342, 238, 350)(232, 344, 240, 352)(235, 347, 242, 354)(236, 348, 241, 353)(237, 349, 246, 358)(239, 351, 248, 360)(243, 355, 250, 362)(244, 356, 249, 361)(245, 357, 254, 366)(247, 359, 256, 368)(251, 363, 258, 370)(252, 364, 257, 369)(253, 365, 262, 374)(255, 367, 264, 376)(259, 371, 266, 378)(260, 372, 265, 377)(261, 373, 270, 382)(263, 375, 272, 384)(267, 379, 274, 386)(268, 380, 273, 385)(269, 381, 278, 390)(271, 383, 280, 392)(275, 387, 282, 394)(276, 388, 281, 393)(277, 389, 286, 398)(279, 391, 288, 400)(283, 395, 290, 402)(284, 396, 289, 401)(285, 397, 294, 406)(287, 399, 296, 408)(291, 403, 298, 410)(292, 404, 297, 409)(293, 405, 302, 414)(295, 407, 304, 416)(299, 411, 306, 418)(300, 412, 305, 417)(301, 413, 310, 422)(303, 415, 312, 424)(307, 419, 314, 426)(308, 420, 313, 425)(309, 421, 318, 430)(311, 423, 320, 432)(315, 427, 322, 434)(316, 428, 321, 433)(317, 429, 326, 438)(319, 431, 328, 440)(323, 435, 330, 442)(324, 436, 329, 441)(325, 437, 334, 446)(327, 439, 336, 448)(331, 443, 333, 445)(332, 444, 335, 447)
	L = (1, 228)(2, 232)(3, 234)(4, 225)(5, 235)(6, 239)(7, 240)(8, 226)(9, 242)(10, 227)(11, 229)(12, 243)(13, 247)(14, 248)(15, 230)(16, 231)(17, 250)(18, 233)(19, 236)(20, 251)(21, 255)(22, 256)(23, 237)(24, 238)(25, 258)(26, 241)(27, 244)(28, 259)(29, 263)(30, 264)(31, 245)(32, 246)(33, 266)(34, 249)(35, 252)(36, 267)(37, 271)(38, 272)(39, 253)(40, 254)(41, 274)(42, 257)(43, 260)(44, 275)(45, 279)(46, 280)(47, 261)(48, 262)(49, 282)(50, 265)(51, 268)(52, 283)(53, 287)(54, 288)(55, 269)(56, 270)(57, 290)(58, 273)(59, 276)(60, 291)(61, 295)(62, 296)(63, 277)(64, 278)(65, 298)(66, 281)(67, 284)(68, 299)(69, 303)(70, 304)(71, 285)(72, 286)(73, 306)(74, 289)(75, 292)(76, 307)(77, 311)(78, 312)(79, 293)(80, 294)(81, 314)(82, 297)(83, 300)(84, 315)(85, 319)(86, 320)(87, 301)(88, 302)(89, 322)(90, 305)(91, 308)(92, 323)(93, 327)(94, 328)(95, 309)(96, 310)(97, 330)(98, 313)(99, 316)(100, 331)(101, 335)(102, 336)(103, 317)(104, 318)(105, 333)(106, 321)(107, 324)(108, 334)(109, 329)(110, 332)(111, 325)(112, 326)(113, 337)(114, 338)(115, 339)(116, 340)(117, 341)(118, 342)(119, 343)(120, 344)(121, 345)(122, 346)(123, 347)(124, 348)(125, 349)(126, 350)(127, 351)(128, 352)(129, 353)(130, 354)(131, 355)(132, 356)(133, 357)(134, 358)(135, 359)(136, 360)(137, 361)(138, 362)(139, 363)(140, 364)(141, 365)(142, 366)(143, 367)(144, 368)(145, 369)(146, 370)(147, 371)(148, 372)(149, 373)(150, 374)(151, 375)(152, 376)(153, 377)(154, 378)(155, 379)(156, 380)(157, 381)(158, 382)(159, 383)(160, 384)(161, 385)(162, 386)(163, 387)(164, 388)(165, 389)(166, 390)(167, 391)(168, 392)(169, 393)(170, 394)(171, 395)(172, 396)(173, 397)(174, 398)(175, 399)(176, 400)(177, 401)(178, 402)(179, 403)(180, 404)(181, 405)(182, 406)(183, 407)(184, 408)(185, 409)(186, 410)(187, 411)(188, 412)(189, 413)(190, 414)(191, 415)(192, 416)(193, 417)(194, 418)(195, 419)(196, 420)(197, 421)(198, 422)(199, 423)(200, 424)(201, 425)(202, 426)(203, 427)(204, 428)(205, 429)(206, 430)(207, 431)(208, 432)(209, 433)(210, 434)(211, 435)(212, 436)(213, 437)(214, 438)(215, 439)(216, 440)(217, 441)(218, 442)(219, 443)(220, 444)(221, 445)(222, 446)(223, 447)(224, 448)
	local type(s) :: { ( 4^4 ), ( 4^112 ) }
Outer automorphisms :: reflexible
Dual of E28.2448
Graph:: bipartite
	v = 58 e = 224 f = 112
	degree seq :: [ 4^56, 112^2 ]

E28.2450 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 56})
Quotient :: edge
Aut^+ = C7 : Q16 (small group id <112, 7>)
Aut   = (C56 x C2) : C2 (small group id <224, 99>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T2 * T1 * T2 * T1^-1, T2^2 * T1^-2 * T2^-2 * T1^-2, T2^26 * T1^-1 * T2^-2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 25, 33, 41, 49, 57, 65, 73, 81, 89, 97, 105, 110, 102, 94, 86, 78, 70, 62, 54, 46, 38, 30, 22, 14, 6, 13, 21, 29, 37, 45, 53, 61, 69, 77, 85, 93, 101, 109, 108, 100, 92, 84, 76, 68, 60, 52, 44, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 47, 55, 63, 71, 79, 87, 95, 103, 111, 106, 98, 90, 82, 74, 66, 58, 50, 42, 34, 26, 18, 10, 4, 11, 19, 27, 35, 43, 51, 59, 67, 75, 83, 91, 99, 107, 112, 104, 96, 88, 80, 72, 64, 56, 48, 40, 32, 24, 16, 8)(113, 114, 118, 116)(115, 120, 125, 122)(117, 119, 126, 123)(121, 128, 133, 130)(124, 127, 134, 131)(129, 136, 141, 138)(132, 135, 142, 139)(137, 144, 149, 146)(140, 143, 150, 147)(145, 152, 157, 154)(148, 151, 158, 155)(153, 160, 165, 162)(156, 159, 166, 163)(161, 168, 173, 170)(164, 167, 174, 171)(169, 176, 181, 178)(172, 175, 182, 179)(177, 184, 189, 186)(180, 183, 190, 187)(185, 192, 197, 194)(188, 191, 198, 195)(193, 200, 205, 202)(196, 199, 206, 203)(201, 208, 213, 210)(204, 207, 214, 211)(209, 216, 221, 218)(212, 215, 222, 219)(217, 224, 220, 223)
	L = (1, 113)(2, 114)(3, 115)(4, 116)(5, 117)(6, 118)(7, 119)(8, 120)(9, 121)(10, 122)(11, 123)(12, 124)(13, 125)(14, 126)(15, 127)(16, 128)(17, 129)(18, 130)(19, 131)(20, 132)(21, 133)(22, 134)(23, 135)(24, 136)(25, 137)(26, 138)(27, 139)(28, 140)(29, 141)(30, 142)(31, 143)(32, 144)(33, 145)(34, 146)(35, 147)(36, 148)(37, 149)(38, 150)(39, 151)(40, 152)(41, 153)(42, 154)(43, 155)(44, 156)(45, 157)(46, 158)(47, 159)(48, 160)(49, 161)(50, 162)(51, 163)(52, 164)(53, 165)(54, 166)(55, 167)(56, 168)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 8^4 ), ( 8^56 ) }
Outer automorphisms :: reflexible
Dual of E28.2451
Transitivity :: ET+
Graph:: bipartite
	v = 30 e = 112 f = 28
	degree seq :: [ 4^28, 56^2 ]

E28.2451 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 56})
Quotient :: loop
Aut^+ = C7 : Q16 (small group id <112, 7>)
Aut   = (C56 x C2) : C2 (small group id <224, 99>)
|r| :: 2
Presentation :: [ F^2, T1^-2 * T2^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1^-2 * T2^-1, T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 ]
Map:: non-degenerate
	R = (1, 113, 3, 115, 6, 118, 5, 117)(2, 114, 7, 119, 4, 116, 8, 120)(9, 121, 13, 125, 10, 122, 14, 126)(11, 123, 15, 127, 12, 124, 16, 128)(17, 129, 21, 133, 18, 130, 22, 134)(19, 131, 23, 135, 20, 132, 24, 136)(25, 137, 29, 141, 26, 138, 30, 142)(27, 139, 31, 143, 28, 140, 32, 144)(33, 145, 35, 147, 34, 146, 38, 150)(36, 148, 52, 164, 37, 149, 51, 163)(39, 151, 56, 168, 40, 152, 55, 167)(41, 153, 58, 170, 42, 154, 57, 169)(43, 155, 60, 172, 44, 156, 59, 171)(45, 157, 62, 174, 46, 158, 61, 173)(47, 159, 64, 176, 48, 160, 63, 175)(49, 161, 66, 178, 50, 162, 65, 177)(53, 165, 68, 180, 54, 166, 67, 179)(69, 181, 71, 183, 70, 182, 72, 184)(73, 185, 75, 187, 74, 186, 76, 188)(77, 189, 92, 204, 78, 190, 91, 203)(79, 191, 96, 208, 80, 192, 95, 207)(81, 193, 98, 210, 82, 194, 97, 209)(83, 195, 100, 212, 84, 196, 99, 211)(85, 197, 102, 214, 86, 198, 101, 213)(87, 199, 104, 216, 88, 200, 103, 215)(89, 201, 106, 218, 90, 202, 105, 217)(93, 205, 108, 220, 94, 206, 107, 219)(109, 221, 111, 223, 110, 222, 112, 224)
	L = (1, 114)(2, 118)(3, 121)(4, 113)(5, 122)(6, 116)(7, 123)(8, 124)(9, 117)(10, 115)(11, 120)(12, 119)(13, 129)(14, 130)(15, 131)(16, 132)(17, 126)(18, 125)(19, 128)(20, 127)(21, 137)(22, 138)(23, 139)(24, 140)(25, 134)(26, 133)(27, 136)(28, 135)(29, 145)(30, 146)(31, 163)(32, 164)(33, 142)(34, 141)(35, 167)(36, 169)(37, 170)(38, 168)(39, 171)(40, 172)(41, 173)(42, 174)(43, 175)(44, 176)(45, 177)(46, 178)(47, 179)(48, 180)(49, 181)(50, 182)(51, 144)(52, 143)(53, 185)(54, 186)(55, 150)(56, 147)(57, 149)(58, 148)(59, 152)(60, 151)(61, 154)(62, 153)(63, 156)(64, 155)(65, 158)(66, 157)(67, 160)(68, 159)(69, 162)(70, 161)(71, 203)(72, 204)(73, 166)(74, 165)(75, 207)(76, 208)(77, 209)(78, 210)(79, 211)(80, 212)(81, 213)(82, 214)(83, 215)(84, 216)(85, 217)(86, 218)(87, 219)(88, 220)(89, 221)(90, 222)(91, 184)(92, 183)(93, 224)(94, 223)(95, 188)(96, 187)(97, 190)(98, 189)(99, 192)(100, 191)(101, 194)(102, 193)(103, 196)(104, 195)(105, 198)(106, 197)(107, 200)(108, 199)(109, 202)(110, 201)(111, 205)(112, 206)
	local type(s) :: { ( 4, 56, 4, 56, 4, 56, 4, 56 ) }
Outer automorphisms :: reflexible
Dual of E28.2450
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 28 e = 112 f = 30
	degree seq :: [ 8^28 ]

E28.2452 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 56})
Quotient :: dipole
Aut^+ = C7 : Q16 (small group id <112, 7>)
Aut   = (C56 x C2) : C2 (small group id <224, 99>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y2^-1 * Y1^-1 * Y2^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y1^4, (Y3^-1 * Y1^-1)^4, Y2^27 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map::
	R = (1, 113, 2, 114, 6, 118, 4, 116)(3, 115, 8, 120, 13, 125, 10, 122)(5, 117, 7, 119, 14, 126, 11, 123)(9, 121, 16, 128, 21, 133, 18, 130)(12, 124, 15, 127, 22, 134, 19, 131)(17, 129, 24, 136, 29, 141, 26, 138)(20, 132, 23, 135, 30, 142, 27, 139)(25, 137, 32, 144, 37, 149, 34, 146)(28, 140, 31, 143, 38, 150, 35, 147)(33, 145, 40, 152, 45, 157, 42, 154)(36, 148, 39, 151, 46, 158, 43, 155)(41, 153, 48, 160, 53, 165, 50, 162)(44, 156, 47, 159, 54, 166, 51, 163)(49, 161, 56, 168, 61, 173, 58, 170)(52, 164, 55, 167, 62, 174, 59, 171)(57, 169, 64, 176, 69, 181, 66, 178)(60, 172, 63, 175, 70, 182, 67, 179)(65, 177, 72, 184, 77, 189, 74, 186)(68, 180, 71, 183, 78, 190, 75, 187)(73, 185, 80, 192, 85, 197, 82, 194)(76, 188, 79, 191, 86, 198, 83, 195)(81, 193, 88, 200, 93, 205, 90, 202)(84, 196, 87, 199, 94, 206, 91, 203)(89, 201, 96, 208, 101, 213, 98, 210)(92, 204, 95, 207, 102, 214, 99, 211)(97, 209, 104, 216, 109, 221, 106, 218)(100, 212, 103, 215, 110, 222, 107, 219)(105, 217, 112, 224, 108, 220, 111, 223)(225, 337, 227, 339, 233, 345, 241, 353, 249, 361, 257, 369, 265, 377, 273, 385, 281, 393, 289, 401, 297, 409, 305, 417, 313, 425, 321, 433, 329, 441, 334, 446, 326, 438, 318, 430, 310, 422, 302, 414, 294, 406, 286, 398, 278, 390, 270, 382, 262, 374, 254, 366, 246, 358, 238, 350, 230, 342, 237, 349, 245, 357, 253, 365, 261, 373, 269, 381, 277, 389, 285, 397, 293, 405, 301, 413, 309, 421, 317, 429, 325, 437, 333, 445, 332, 444, 324, 436, 316, 428, 308, 420, 300, 412, 292, 404, 284, 396, 276, 388, 268, 380, 260, 372, 252, 364, 244, 356, 236, 348, 229, 341)(226, 338, 231, 343, 239, 351, 247, 359, 255, 367, 263, 375, 271, 383, 279, 391, 287, 399, 295, 407, 303, 415, 311, 423, 319, 431, 327, 439, 335, 447, 330, 442, 322, 434, 314, 426, 306, 418, 298, 410, 290, 402, 282, 394, 274, 386, 266, 378, 258, 370, 250, 362, 242, 354, 234, 346, 228, 340, 235, 347, 243, 355, 251, 363, 259, 371, 267, 379, 275, 387, 283, 395, 291, 403, 299, 411, 307, 419, 315, 427, 323, 435, 331, 443, 336, 448, 328, 440, 320, 432, 312, 424, 304, 416, 296, 408, 288, 400, 280, 392, 272, 384, 264, 376, 256, 368, 248, 360, 240, 352, 232, 344)
	L = (1, 227)(2, 231)(3, 233)(4, 235)(5, 225)(6, 237)(7, 239)(8, 226)(9, 241)(10, 228)(11, 243)(12, 229)(13, 245)(14, 230)(15, 247)(16, 232)(17, 249)(18, 234)(19, 251)(20, 236)(21, 253)(22, 238)(23, 255)(24, 240)(25, 257)(26, 242)(27, 259)(28, 244)(29, 261)(30, 246)(31, 263)(32, 248)(33, 265)(34, 250)(35, 267)(36, 252)(37, 269)(38, 254)(39, 271)(40, 256)(41, 273)(42, 258)(43, 275)(44, 260)(45, 277)(46, 262)(47, 279)(48, 264)(49, 281)(50, 266)(51, 283)(52, 268)(53, 285)(54, 270)(55, 287)(56, 272)(57, 289)(58, 274)(59, 291)(60, 276)(61, 293)(62, 278)(63, 295)(64, 280)(65, 297)(66, 282)(67, 299)(68, 284)(69, 301)(70, 286)(71, 303)(72, 288)(73, 305)(74, 290)(75, 307)(76, 292)(77, 309)(78, 294)(79, 311)(80, 296)(81, 313)(82, 298)(83, 315)(84, 300)(85, 317)(86, 302)(87, 319)(88, 304)(89, 321)(90, 306)(91, 323)(92, 308)(93, 325)(94, 310)(95, 327)(96, 312)(97, 329)(98, 314)(99, 331)(100, 316)(101, 333)(102, 318)(103, 335)(104, 320)(105, 334)(106, 322)(107, 336)(108, 324)(109, 332)(110, 326)(111, 330)(112, 328)(113, 337)(114, 338)(115, 339)(116, 340)(117, 341)(118, 342)(119, 343)(120, 344)(121, 345)(122, 346)(123, 347)(124, 348)(125, 349)(126, 350)(127, 351)(128, 352)(129, 353)(130, 354)(131, 355)(132, 356)(133, 357)(134, 358)(135, 359)(136, 360)(137, 361)(138, 362)(139, 363)(140, 364)(141, 365)(142, 366)(143, 367)(144, 368)(145, 369)(146, 370)(147, 371)(148, 372)(149, 373)(150, 374)(151, 375)(152, 376)(153, 377)(154, 378)(155, 379)(156, 380)(157, 381)(158, 382)(159, 383)(160, 384)(161, 385)(162, 386)(163, 387)(164, 388)(165, 389)(166, 390)(167, 391)(168, 392)(169, 393)(170, 394)(171, 395)(172, 396)(173, 397)(174, 398)(175, 399)(176, 400)(177, 401)(178, 402)(179, 403)(180, 404)(181, 405)(182, 406)(183, 407)(184, 408)(185, 409)(186, 410)(187, 411)(188, 412)(189, 413)(190, 414)(191, 415)(192, 416)(193, 417)(194, 418)(195, 419)(196, 420)(197, 421)(198, 422)(199, 423)(200, 424)(201, 425)(202, 426)(203, 427)(204, 428)(205, 429)(206, 430)(207, 431)(208, 432)(209, 433)(210, 434)(211, 435)(212, 436)(213, 437)(214, 438)(215, 439)(216, 440)(217, 441)(218, 442)(219, 443)(220, 444)(221, 445)(222, 446)(223, 447)(224, 448)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.2453
Graph:: bipartite
	v = 30 e = 224 f = 140
	degree seq :: [ 8^28, 112^2 ]

E28.2453 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 56})
Quotient :: dipole
Aut^+ = C7 : Q16 (small group id <112, 7>)
Aut   = (C56 x C2) : C2 (small group id <224, 99>)
|r| :: 2
Presentation :: [ Y1, R^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-2 * Y2^-2 * Y3^2 * Y2^-1, Y3^11 * Y2^-1 * Y3^-17 * Y2^-1, (Y3^-1 * Y1^-1)^56 ]
Map::
	R = (1, 113)(2, 114)(3, 115)(4, 116)(5, 117)(6, 118)(7, 119)(8, 120)(9, 121)(10, 122)(11, 123)(12, 124)(13, 125)(14, 126)(15, 127)(16, 128)(17, 129)(18, 130)(19, 131)(20, 132)(21, 133)(22, 134)(23, 135)(24, 136)(25, 137)(26, 138)(27, 139)(28, 140)(29, 141)(30, 142)(31, 143)(32, 144)(33, 145)(34, 146)(35, 147)(36, 148)(37, 149)(38, 150)(39, 151)(40, 152)(41, 153)(42, 154)(43, 155)(44, 156)(45, 157)(46, 158)(47, 159)(48, 160)(49, 161)(50, 162)(51, 163)(52, 164)(53, 165)(54, 166)(55, 167)(56, 168)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)(225, 337, 226, 338, 230, 342, 228, 340)(227, 339, 232, 344, 237, 349, 234, 346)(229, 341, 231, 343, 238, 350, 235, 347)(233, 345, 240, 352, 245, 357, 242, 354)(236, 348, 239, 351, 246, 358, 243, 355)(241, 353, 248, 360, 253, 365, 250, 362)(244, 356, 247, 359, 254, 366, 251, 363)(249, 361, 256, 368, 261, 373, 258, 370)(252, 364, 255, 367, 262, 374, 259, 371)(257, 369, 264, 376, 269, 381, 266, 378)(260, 372, 263, 375, 270, 382, 267, 379)(265, 377, 272, 384, 277, 389, 274, 386)(268, 380, 271, 383, 278, 390, 275, 387)(273, 385, 280, 392, 285, 397, 282, 394)(276, 388, 279, 391, 286, 398, 283, 395)(281, 393, 288, 400, 293, 405, 290, 402)(284, 396, 287, 399, 294, 406, 291, 403)(289, 401, 296, 408, 301, 413, 298, 410)(292, 404, 295, 407, 302, 414, 299, 411)(297, 409, 304, 416, 309, 421, 306, 418)(300, 412, 303, 415, 310, 422, 307, 419)(305, 417, 312, 424, 317, 429, 314, 426)(308, 420, 311, 423, 318, 430, 315, 427)(313, 425, 320, 432, 325, 437, 322, 434)(316, 428, 319, 431, 326, 438, 323, 435)(321, 433, 328, 440, 333, 445, 330, 442)(324, 436, 327, 439, 334, 446, 331, 443)(329, 441, 336, 448, 332, 444, 335, 447)
	L = (1, 227)(2, 231)(3, 233)(4, 235)(5, 225)(6, 237)(7, 239)(8, 226)(9, 241)(10, 228)(11, 243)(12, 229)(13, 245)(14, 230)(15, 247)(16, 232)(17, 249)(18, 234)(19, 251)(20, 236)(21, 253)(22, 238)(23, 255)(24, 240)(25, 257)(26, 242)(27, 259)(28, 244)(29, 261)(30, 246)(31, 263)(32, 248)(33, 265)(34, 250)(35, 267)(36, 252)(37, 269)(38, 254)(39, 271)(40, 256)(41, 273)(42, 258)(43, 275)(44, 260)(45, 277)(46, 262)(47, 279)(48, 264)(49, 281)(50, 266)(51, 283)(52, 268)(53, 285)(54, 270)(55, 287)(56, 272)(57, 289)(58, 274)(59, 291)(60, 276)(61, 293)(62, 278)(63, 295)(64, 280)(65, 297)(66, 282)(67, 299)(68, 284)(69, 301)(70, 286)(71, 303)(72, 288)(73, 305)(74, 290)(75, 307)(76, 292)(77, 309)(78, 294)(79, 311)(80, 296)(81, 313)(82, 298)(83, 315)(84, 300)(85, 317)(86, 302)(87, 319)(88, 304)(89, 321)(90, 306)(91, 323)(92, 308)(93, 325)(94, 310)(95, 327)(96, 312)(97, 329)(98, 314)(99, 331)(100, 316)(101, 333)(102, 318)(103, 335)(104, 320)(105, 334)(106, 322)(107, 336)(108, 324)(109, 332)(110, 326)(111, 330)(112, 328)(113, 337)(114, 338)(115, 339)(116, 340)(117, 341)(118, 342)(119, 343)(120, 344)(121, 345)(122, 346)(123, 347)(124, 348)(125, 349)(126, 350)(127, 351)(128, 352)(129, 353)(130, 354)(131, 355)(132, 356)(133, 357)(134, 358)(135, 359)(136, 360)(137, 361)(138, 362)(139, 363)(140, 364)(141, 365)(142, 366)(143, 367)(144, 368)(145, 369)(146, 370)(147, 371)(148, 372)(149, 373)(150, 374)(151, 375)(152, 376)(153, 377)(154, 378)(155, 379)(156, 380)(157, 381)(158, 382)(159, 383)(160, 384)(161, 385)(162, 386)(163, 387)(164, 388)(165, 389)(166, 390)(167, 391)(168, 392)(169, 393)(170, 394)(171, 395)(172, 396)(173, 397)(174, 398)(175, 399)(176, 400)(177, 401)(178, 402)(179, 403)(180, 404)(181, 405)(182, 406)(183, 407)(184, 408)(185, 409)(186, 410)(187, 411)(188, 412)(189, 413)(190, 414)(191, 415)(192, 416)(193, 417)(194, 418)(195, 419)(196, 420)(197, 421)(198, 422)(199, 423)(200, 424)(201, 425)(202, 426)(203, 427)(204, 428)(205, 429)(206, 430)(207, 431)(208, 432)(209, 433)(210, 434)(211, 435)(212, 436)(213, 437)(214, 438)(215, 439)(216, 440)(217, 441)(218, 442)(219, 443)(220, 444)(221, 445)(222, 446)(223, 447)(224, 448)
	local type(s) :: { ( 8, 112 ), ( 8, 112, 8, 112, 8, 112, 8, 112 ) }
Outer automorphisms :: reflexible
Dual of E28.2452
Graph:: simple bipartite
	v = 140 e = 224 f = 30
	degree seq :: [ 2^112, 8^28 ]

E28.2454 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 112, 112})
Quotient :: regular
Aut^+ = C112 (small group id <112, 2>)
Aut   = D224 (small group id <224, 5>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T2 * T1^56 ]
Map::
	R = (1, 2, 5, 9, 13, 17, 21, 25, 29, 33, 34, 36, 39, 41, 43, 45, 47, 49, 52, 53, 55, 58, 60, 62, 64, 66, 68, 72, 73, 75, 78, 80, 82, 84, 86, 88, 95, 96, 92, 71, 93, 101, 103, 105, 107, 110, 91, 70, 51, 31, 27, 23, 19, 15, 11, 7, 3, 6, 10, 14, 18, 22, 26, 30, 38, 35, 37, 40, 42, 44, 46, 48, 50, 57, 54, 56, 59, 61, 63, 65, 67, 69, 77, 74, 76, 79, 81, 83, 85, 87, 89, 99, 97, 98, 100, 94, 102, 104, 106, 108, 112, 111, 109, 90, 32, 28, 24, 20, 16, 12, 8, 4)
	L = (1, 3)(2, 6)(4, 7)(5, 10)(8, 11)(9, 14)(12, 15)(13, 18)(16, 19)(17, 22)(20, 23)(21, 26)(24, 27)(25, 30)(28, 31)(29, 38)(32, 51)(33, 35)(34, 37)(36, 40)(39, 42)(41, 44)(43, 46)(45, 48)(47, 50)(49, 57)(52, 54)(53, 56)(55, 59)(58, 61)(60, 63)(62, 65)(64, 67)(66, 69)(68, 77)(70, 90)(71, 94)(72, 74)(73, 76)(75, 79)(78, 81)(80, 83)(82, 85)(84, 87)(86, 89)(88, 99)(91, 109)(92, 100)(93, 102)(95, 97)(96, 98)(101, 104)(103, 106)(105, 108)(107, 112)(110, 111)
	local type(s) :: { ( 112^112 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 1 e = 56 f = 1
	degree seq :: [ 112 ]

E28.2455 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 112, 112})
Quotient :: edge
Aut^+ = C112 (small group id <112, 2>)
Aut   = D224 (small group id <224, 5>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^56 * T1 ]
Map::
	R = (1, 3, 7, 11, 15, 19, 23, 27, 31, 33, 35, 38, 40, 42, 44, 46, 48, 50, 52, 54, 57, 59, 61, 63, 65, 67, 69, 72, 74, 77, 79, 81, 83, 85, 87, 89, 95, 97, 92, 71, 94, 102, 104, 106, 108, 110, 91, 70, 51, 30, 26, 22, 18, 14, 10, 6, 2, 5, 9, 13, 17, 21, 25, 29, 37, 34, 36, 39, 41, 43, 45, 47, 49, 56, 53, 55, 58, 60, 62, 64, 66, 68, 76, 73, 75, 78, 80, 82, 84, 86, 88, 99, 96, 98, 100, 93, 101, 103, 105, 107, 112, 111, 109, 90, 32, 28, 24, 20, 16, 12, 8, 4)(113, 114)(115, 117)(116, 118)(119, 121)(120, 122)(123, 125)(124, 126)(127, 129)(128, 130)(131, 133)(132, 134)(135, 137)(136, 138)(139, 141)(140, 142)(143, 149)(144, 163)(145, 146)(147, 148)(150, 151)(152, 153)(154, 155)(156, 157)(158, 159)(160, 161)(162, 168)(164, 165)(166, 167)(169, 170)(171, 172)(173, 174)(175, 176)(177, 178)(179, 180)(181, 188)(182, 202)(183, 205)(184, 185)(186, 187)(189, 190)(191, 192)(193, 194)(195, 196)(197, 198)(199, 200)(201, 211)(203, 221)(204, 212)(206, 213)(207, 208)(209, 210)(214, 215)(216, 217)(218, 219)(220, 224)(222, 223)
	L = (1, 113)(2, 114)(3, 115)(4, 116)(5, 117)(6, 118)(7, 119)(8, 120)(9, 121)(10, 122)(11, 123)(12, 124)(13, 125)(14, 126)(15, 127)(16, 128)(17, 129)(18, 130)(19, 131)(20, 132)(21, 133)(22, 134)(23, 135)(24, 136)(25, 137)(26, 138)(27, 139)(28, 140)(29, 141)(30, 142)(31, 143)(32, 144)(33, 145)(34, 146)(35, 147)(36, 148)(37, 149)(38, 150)(39, 151)(40, 152)(41, 153)(42, 154)(43, 155)(44, 156)(45, 157)(46, 158)(47, 159)(48, 160)(49, 161)(50, 162)(51, 163)(52, 164)(53, 165)(54, 166)(55, 167)(56, 168)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 224, 224 ), ( 224^112 ) }
Outer automorphisms :: reflexible
Dual of E28.2456
Transitivity :: ET+
Graph:: bipartite
	v = 57 e = 112 f = 1
	degree seq :: [ 2^56, 112 ]

E28.2456 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 112, 112})
Quotient :: loop
Aut^+ = C112 (small group id <112, 2>)
Aut   = D224 (small group id <224, 5>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^56 * T1 ]
Map::
	R = (1, 113, 3, 115, 7, 119, 11, 123, 15, 127, 19, 131, 23, 135, 27, 139, 31, 143, 35, 147, 37, 149, 39, 151, 41, 153, 43, 155, 45, 157, 47, 159, 50, 162, 51, 163, 53, 165, 55, 167, 57, 169, 59, 171, 61, 173, 63, 175, 65, 177, 70, 182, 72, 184, 74, 186, 76, 188, 78, 190, 80, 192, 82, 194, 89, 201, 90, 202, 92, 204, 94, 206, 96, 208, 98, 210, 100, 212, 102, 214, 87, 199, 105, 217, 107, 219, 109, 221, 111, 223, 104, 216, 85, 197, 66, 178, 49, 161, 30, 142, 26, 138, 22, 134, 18, 130, 14, 126, 10, 122, 6, 118, 2, 114, 5, 117, 9, 121, 13, 125, 17, 129, 21, 133, 25, 137, 29, 141, 33, 145, 34, 146, 36, 148, 38, 150, 40, 152, 42, 154, 44, 156, 46, 158, 48, 160, 52, 164, 54, 166, 56, 168, 58, 170, 60, 172, 62, 174, 64, 176, 68, 180, 69, 181, 71, 183, 73, 185, 75, 187, 77, 189, 79, 191, 81, 193, 83, 195, 91, 203, 93, 205, 95, 207, 97, 209, 99, 211, 101, 213, 86, 198, 67, 179, 88, 200, 106, 218, 108, 220, 110, 222, 112, 224, 103, 215, 84, 196, 32, 144, 28, 140, 24, 136, 20, 132, 16, 128, 12, 124, 8, 120, 4, 116)
	L = (1, 114)(2, 113)(3, 117)(4, 118)(5, 115)(6, 116)(7, 121)(8, 122)(9, 119)(10, 120)(11, 125)(12, 126)(13, 123)(14, 124)(15, 129)(16, 130)(17, 127)(18, 128)(19, 133)(20, 134)(21, 131)(22, 132)(23, 137)(24, 138)(25, 135)(26, 136)(27, 141)(28, 142)(29, 139)(30, 140)(31, 145)(32, 161)(33, 143)(34, 147)(35, 146)(36, 149)(37, 148)(38, 151)(39, 150)(40, 153)(41, 152)(42, 155)(43, 154)(44, 157)(45, 156)(46, 159)(47, 158)(48, 162)(49, 144)(50, 160)(51, 164)(52, 163)(53, 166)(54, 165)(55, 168)(56, 167)(57, 170)(58, 169)(59, 172)(60, 171)(61, 174)(62, 173)(63, 176)(64, 175)(65, 180)(66, 196)(67, 199)(68, 177)(69, 182)(70, 181)(71, 184)(72, 183)(73, 186)(74, 185)(75, 188)(76, 187)(77, 190)(78, 189)(79, 192)(80, 191)(81, 194)(82, 193)(83, 201)(84, 178)(85, 215)(86, 214)(87, 179)(88, 217)(89, 195)(90, 203)(91, 202)(92, 205)(93, 204)(94, 207)(95, 206)(96, 209)(97, 208)(98, 211)(99, 210)(100, 213)(101, 212)(102, 198)(103, 197)(104, 224)(105, 200)(106, 219)(107, 218)(108, 221)(109, 220)(110, 223)(111, 222)(112, 216)
	local type(s) :: { ( 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112, 2, 112 ) }
Outer automorphisms :: reflexible
Dual of E28.2455
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 112 f = 57
	degree seq :: [ 224 ]

E28.2457 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 112, 112})
Quotient :: dipole
Aut^+ = C112 (small group id <112, 2>)
Aut   = D224 (small group id <224, 5>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y2^56 * Y1, (Y3 * Y2^-1)^112 ]
Map::
	R = (1, 113, 2, 114)(3, 115, 5, 117)(4, 116, 6, 118)(7, 119, 9, 121)(8, 120, 10, 122)(11, 123, 13, 125)(12, 124, 14, 126)(15, 127, 17, 129)(16, 128, 18, 130)(19, 131, 21, 133)(20, 132, 22, 134)(23, 135, 25, 137)(24, 136, 26, 138)(27, 139, 29, 141)(28, 140, 30, 142)(31, 143, 41, 153)(32, 144, 53, 165)(33, 145, 34, 146)(35, 147, 37, 149)(36, 148, 38, 150)(39, 151, 40, 152)(42, 154, 43, 155)(44, 156, 45, 157)(46, 158, 47, 159)(48, 160, 49, 161)(50, 162, 51, 163)(52, 164, 62, 174)(54, 166, 55, 167)(56, 168, 58, 170)(57, 169, 59, 171)(60, 172, 61, 173)(63, 175, 64, 176)(65, 177, 66, 178)(67, 179, 68, 180)(69, 181, 70, 182)(71, 183, 72, 184)(73, 185, 84, 196)(74, 186, 95, 207)(75, 187, 97, 209)(76, 188, 77, 189)(78, 190, 80, 192)(79, 191, 81, 193)(82, 194, 83, 195)(85, 197, 86, 198)(87, 199, 88, 200)(89, 201, 90, 202)(91, 203, 92, 204)(93, 205, 94, 206)(96, 208, 112, 224)(98, 210, 103, 215)(99, 211, 100, 212)(101, 213, 102, 214)(104, 216, 105, 217)(106, 218, 107, 219)(108, 220, 109, 221)(110, 222, 111, 223)(225, 337, 227, 339, 231, 343, 235, 347, 239, 351, 243, 355, 247, 359, 251, 363, 255, 367, 260, 372, 257, 369, 259, 371, 263, 375, 266, 378, 268, 380, 270, 382, 272, 384, 274, 386, 276, 388, 281, 393, 278, 390, 280, 392, 284, 396, 287, 399, 289, 401, 291, 403, 293, 405, 295, 407, 297, 409, 303, 415, 300, 412, 302, 414, 306, 418, 309, 421, 311, 423, 313, 425, 315, 427, 317, 429, 299, 411, 322, 434, 323, 435, 325, 437, 328, 440, 330, 442, 332, 444, 334, 446, 320, 432, 298, 410, 277, 389, 254, 366, 250, 362, 246, 358, 242, 354, 238, 350, 234, 346, 230, 342, 226, 338, 229, 341, 233, 345, 237, 349, 241, 353, 245, 357, 249, 361, 253, 365, 265, 377, 262, 374, 258, 370, 261, 373, 264, 376, 267, 379, 269, 381, 271, 383, 273, 385, 275, 387, 286, 398, 283, 395, 279, 391, 282, 394, 285, 397, 288, 400, 290, 402, 292, 404, 294, 406, 296, 408, 308, 420, 305, 417, 301, 413, 304, 416, 307, 419, 310, 422, 312, 424, 314, 426, 316, 428, 318, 430, 321, 433, 327, 439, 324, 436, 326, 438, 329, 441, 331, 443, 333, 445, 335, 447, 336, 448, 319, 431, 256, 368, 252, 364, 248, 360, 244, 356, 240, 352, 236, 348, 232, 344, 228, 340)
	L = (1, 226)(2, 225)(3, 229)(4, 230)(5, 227)(6, 228)(7, 233)(8, 234)(9, 231)(10, 232)(11, 237)(12, 238)(13, 235)(14, 236)(15, 241)(16, 242)(17, 239)(18, 240)(19, 245)(20, 246)(21, 243)(22, 244)(23, 249)(24, 250)(25, 247)(26, 248)(27, 253)(28, 254)(29, 251)(30, 252)(31, 265)(32, 277)(33, 258)(34, 257)(35, 261)(36, 262)(37, 259)(38, 260)(39, 264)(40, 263)(41, 255)(42, 267)(43, 266)(44, 269)(45, 268)(46, 271)(47, 270)(48, 273)(49, 272)(50, 275)(51, 274)(52, 286)(53, 256)(54, 279)(55, 278)(56, 282)(57, 283)(58, 280)(59, 281)(60, 285)(61, 284)(62, 276)(63, 288)(64, 287)(65, 290)(66, 289)(67, 292)(68, 291)(69, 294)(70, 293)(71, 296)(72, 295)(73, 308)(74, 319)(75, 321)(76, 301)(77, 300)(78, 304)(79, 305)(80, 302)(81, 303)(82, 307)(83, 306)(84, 297)(85, 310)(86, 309)(87, 312)(88, 311)(89, 314)(90, 313)(91, 316)(92, 315)(93, 318)(94, 317)(95, 298)(96, 336)(97, 299)(98, 327)(99, 324)(100, 323)(101, 326)(102, 325)(103, 322)(104, 329)(105, 328)(106, 331)(107, 330)(108, 333)(109, 332)(110, 335)(111, 334)(112, 320)(113, 337)(114, 338)(115, 339)(116, 340)(117, 341)(118, 342)(119, 343)(120, 344)(121, 345)(122, 346)(123, 347)(124, 348)(125, 349)(126, 350)(127, 351)(128, 352)(129, 353)(130, 354)(131, 355)(132, 356)(133, 357)(134, 358)(135, 359)(136, 360)(137, 361)(138, 362)(139, 363)(140, 364)(141, 365)(142, 366)(143, 367)(144, 368)(145, 369)(146, 370)(147, 371)(148, 372)(149, 373)(150, 374)(151, 375)(152, 376)(153, 377)(154, 378)(155, 379)(156, 380)(157, 381)(158, 382)(159, 383)(160, 384)(161, 385)(162, 386)(163, 387)(164, 388)(165, 389)(166, 390)(167, 391)(168, 392)(169, 393)(170, 394)(171, 395)(172, 396)(173, 397)(174, 398)(175, 399)(176, 400)(177, 401)(178, 402)(179, 403)(180, 404)(181, 405)(182, 406)(183, 407)(184, 408)(185, 409)(186, 410)(187, 411)(188, 412)(189, 413)(190, 414)(191, 415)(192, 416)(193, 417)(194, 418)(195, 419)(196, 420)(197, 421)(198, 422)(199, 423)(200, 424)(201, 425)(202, 426)(203, 427)(204, 428)(205, 429)(206, 430)(207, 431)(208, 432)(209, 433)(210, 434)(211, 435)(212, 436)(213, 437)(214, 438)(215, 439)(216, 440)(217, 441)(218, 442)(219, 443)(220, 444)(221, 445)(222, 446)(223, 447)(224, 448)
	local type(s) :: { ( 2, 224, 2, 224 ), ( 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224, 2, 224 ) }
Outer automorphisms :: reflexible
Dual of E28.2458
Graph:: bipartite
	v = 57 e = 224 f = 113
	degree seq :: [ 4^56, 224 ]

E28.2458 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 112, 112})
Quotient :: dipole
Aut^+ = C112 (small group id <112, 2>)
Aut   = D224 (small group id <224, 5>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, Y3 * Y1 * Y3 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y3 * Y1^56 ]
Map::
	R = (1, 113, 2, 114, 5, 117, 9, 121, 13, 125, 17, 129, 21, 133, 25, 137, 29, 141, 36, 148, 33, 145, 34, 146, 37, 149, 40, 152, 43, 155, 45, 157, 47, 159, 49, 161, 51, 163, 57, 169, 54, 166, 55, 167, 58, 170, 61, 173, 64, 176, 66, 178, 68, 180, 70, 182, 72, 184, 79, 191, 76, 188, 77, 189, 80, 192, 83, 195, 86, 198, 88, 200, 90, 202, 92, 204, 75, 187, 97, 209, 99, 211, 100, 212, 102, 214, 105, 217, 107, 219, 109, 221, 96, 208, 74, 186, 53, 165, 31, 143, 27, 139, 23, 135, 19, 131, 15, 127, 11, 123, 7, 119, 3, 115, 6, 118, 10, 122, 14, 126, 18, 130, 22, 134, 26, 138, 30, 142, 42, 154, 39, 151, 35, 147, 38, 150, 41, 153, 44, 156, 46, 158, 48, 160, 50, 162, 52, 164, 63, 175, 60, 172, 56, 168, 59, 171, 62, 174, 65, 177, 67, 179, 69, 181, 71, 183, 73, 185, 85, 197, 82, 194, 78, 190, 81, 193, 84, 196, 87, 199, 89, 201, 91, 203, 93, 205, 94, 206, 98, 210, 104, 216, 101, 213, 103, 215, 106, 218, 108, 220, 110, 222, 111, 223, 112, 224, 95, 207, 32, 144, 28, 140, 24, 136, 20, 132, 16, 128, 12, 124, 8, 120, 4, 116)(225, 337)(226, 338)(227, 339)(228, 340)(229, 341)(230, 342)(231, 343)(232, 344)(233, 345)(234, 346)(235, 347)(236, 348)(237, 349)(238, 350)(239, 351)(240, 352)(241, 353)(242, 354)(243, 355)(244, 356)(245, 357)(246, 358)(247, 359)(248, 360)(249, 361)(250, 362)(251, 363)(252, 364)(253, 365)(254, 366)(255, 367)(256, 368)(257, 369)(258, 370)(259, 371)(260, 372)(261, 373)(262, 374)(263, 375)(264, 376)(265, 377)(266, 378)(267, 379)(268, 380)(269, 381)(270, 382)(271, 383)(272, 384)(273, 385)(274, 386)(275, 387)(276, 388)(277, 389)(278, 390)(279, 391)(280, 392)(281, 393)(282, 394)(283, 395)(284, 396)(285, 397)(286, 398)(287, 399)(288, 400)(289, 401)(290, 402)(291, 403)(292, 404)(293, 405)(294, 406)(295, 407)(296, 408)(297, 409)(298, 410)(299, 411)(300, 412)(301, 413)(302, 414)(303, 415)(304, 416)(305, 417)(306, 418)(307, 419)(308, 420)(309, 421)(310, 422)(311, 423)(312, 424)(313, 425)(314, 426)(315, 427)(316, 428)(317, 429)(318, 430)(319, 431)(320, 432)(321, 433)(322, 434)(323, 435)(324, 436)(325, 437)(326, 438)(327, 439)(328, 440)(329, 441)(330, 442)(331, 443)(332, 444)(333, 445)(334, 446)(335, 447)(336, 448)
	L = (1, 227)(2, 230)(3, 225)(4, 231)(5, 234)(6, 226)(7, 228)(8, 235)(9, 238)(10, 229)(11, 232)(12, 239)(13, 242)(14, 233)(15, 236)(16, 243)(17, 246)(18, 237)(19, 240)(20, 247)(21, 250)(22, 241)(23, 244)(24, 251)(25, 254)(26, 245)(27, 248)(28, 255)(29, 266)(30, 249)(31, 252)(32, 277)(33, 259)(34, 262)(35, 257)(36, 263)(37, 265)(38, 258)(39, 260)(40, 268)(41, 261)(42, 253)(43, 270)(44, 264)(45, 272)(46, 267)(47, 274)(48, 269)(49, 276)(50, 271)(51, 287)(52, 273)(53, 256)(54, 280)(55, 283)(56, 278)(57, 284)(58, 286)(59, 279)(60, 281)(61, 289)(62, 282)(63, 275)(64, 291)(65, 285)(66, 293)(67, 288)(68, 295)(69, 290)(70, 297)(71, 292)(72, 309)(73, 294)(74, 319)(75, 322)(76, 302)(77, 305)(78, 300)(79, 306)(80, 308)(81, 301)(82, 303)(83, 311)(84, 304)(85, 296)(86, 313)(87, 307)(88, 315)(89, 310)(90, 317)(91, 312)(92, 318)(93, 314)(94, 316)(95, 298)(96, 336)(97, 328)(98, 299)(99, 325)(100, 327)(101, 323)(102, 330)(103, 324)(104, 321)(105, 332)(106, 326)(107, 334)(108, 329)(109, 335)(110, 331)(111, 333)(112, 320)(113, 337)(114, 338)(115, 339)(116, 340)(117, 341)(118, 342)(119, 343)(120, 344)(121, 345)(122, 346)(123, 347)(124, 348)(125, 349)(126, 350)(127, 351)(128, 352)(129, 353)(130, 354)(131, 355)(132, 356)(133, 357)(134, 358)(135, 359)(136, 360)(137, 361)(138, 362)(139, 363)(140, 364)(141, 365)(142, 366)(143, 367)(144, 368)(145, 369)(146, 370)(147, 371)(148, 372)(149, 373)(150, 374)(151, 375)(152, 376)(153, 377)(154, 378)(155, 379)(156, 380)(157, 381)(158, 382)(159, 383)(160, 384)(161, 385)(162, 386)(163, 387)(164, 388)(165, 389)(166, 390)(167, 391)(168, 392)(169, 393)(170, 394)(171, 395)(172, 396)(173, 397)(174, 398)(175, 399)(176, 400)(177, 401)(178, 402)(179, 403)(180, 404)(181, 405)(182, 406)(183, 407)(184, 408)(185, 409)(186, 410)(187, 411)(188, 412)(189, 413)(190, 414)(191, 415)(192, 416)(193, 417)(194, 418)(195, 419)(196, 420)(197, 421)(198, 422)(199, 423)(200, 424)(201, 425)(202, 426)(203, 427)(204, 428)(205, 429)(206, 430)(207, 431)(208, 432)(209, 433)(210, 434)(211, 435)(212, 436)(213, 437)(214, 438)(215, 439)(216, 440)(217, 441)(218, 442)(219, 443)(220, 444)(221, 445)(222, 446)(223, 447)(224, 448)
	local type(s) :: { ( 4, 224 ), ( 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224, 4, 224 ) }
Outer automorphisms :: reflexible
Dual of E28.2457
Graph:: bipartite
	v = 113 e = 224 f = 57
	degree seq :: [ 2^112, 224 ]

E28.2459 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 6, 38})
Quotient :: edge
Aut^+ = C2 x (C19 : C3) (small group id <114, 2>)
Aut   = C2 x (C19 : C3) (small group id <114, 2>)
|r| :: 1
Presentation :: [ X1^3, X2^6, X1 * X2^2 * X1 * X2^-1 * X1 * X2^-1, X2^2 * X1^2 * X2^3 * X1 * X2, X1^-1 * X2^-1 * X1 * X2^-2 * X1 * X2 * X1^-1 * X2^-1 * X1^-1 * X2^-1, X2^-2 * X1 * X2 * X1 * X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2 * X1 ]
Map:: non-degenerate
	R = (1, 2, 4)(3, 8, 10)(5, 13, 14)(6, 16, 18)(7, 19, 20)(9, 24, 26)(11, 29, 31)(12, 32, 33)(15, 39, 40)(17, 27, 44)(21, 49, 50)(22, 51, 53)(23, 37, 54)(25, 43, 57)(28, 61, 62)(30, 45, 65)(34, 68, 36)(35, 69, 70)(38, 71, 72)(41, 73, 75)(42, 47, 76)(46, 81, 82)(48, 83, 84)(52, 58, 87)(55, 92, 93)(56, 94, 95)(59, 96, 97)(60, 88, 98)(63, 101, 103)(64, 66, 104)(67, 108, 109)(74, 78, 112)(77, 110, 85)(79, 99, 114)(80, 86, 90)(89, 111, 105)(91, 113, 107)(100, 102, 106)(115, 117, 123, 139, 129, 119)(116, 120, 131, 157, 135, 121)(118, 125, 144, 171, 148, 126)(122, 136, 166, 153, 169, 137)(124, 141, 174, 154, 133, 142)(127, 149, 145, 138, 170, 150)(128, 151, 173, 140, 172, 152)(130, 155, 188, 163, 191, 156)(132, 159, 194, 164, 146, 160)(134, 161, 193, 158, 192, 162)(143, 177, 216, 182, 219, 178)(147, 180, 221, 179, 220, 181)(165, 199, 195, 206, 189, 200)(167, 202, 215, 207, 175, 203)(168, 204, 222, 201, 196, 205)(176, 213, 218, 212, 197, 214)(183, 224, 217, 208, 187, 225)(184, 210, 190, 209, 185, 226)(186, 227, 198, 211, 223, 228)
	L = (1, 115)(2, 116)(3, 117)(4, 118)(5, 119)(6, 120)(7, 121)(8, 122)(9, 123)(10, 124)(11, 125)(12, 126)(13, 127)(14, 128)(15, 129)(16, 130)(17, 131)(18, 132)(19, 133)(20, 134)(21, 135)(22, 136)(23, 137)(24, 138)(25, 139)(26, 140)(27, 141)(28, 142)(29, 143)(30, 144)(31, 145)(32, 146)(33, 147)(34, 148)(35, 149)(36, 150)(37, 151)(38, 152)(39, 153)(40, 154)(41, 155)(42, 156)(43, 157)(44, 158)(45, 159)(46, 160)(47, 161)(48, 162)(49, 163)(50, 164)(51, 165)(52, 166)(53, 167)(54, 168)(55, 169)(56, 170)(57, 171)(58, 172)(59, 173)(60, 174)(61, 175)(62, 176)(63, 177)(64, 178)(65, 179)(66, 180)(67, 181)(68, 182)(69, 183)(70, 184)(71, 185)(72, 186)(73, 187)(74, 188)(75, 189)(76, 190)(77, 191)(78, 192)(79, 193)(80, 194)(81, 195)(82, 196)(83, 197)(84, 198)(85, 199)(86, 200)(87, 201)(88, 202)(89, 203)(90, 204)(91, 205)(92, 206)(93, 207)(94, 208)(95, 209)(96, 210)(97, 211)(98, 212)(99, 213)(100, 214)(101, 215)(102, 216)(103, 217)(104, 218)(105, 219)(106, 220)(107, 221)(108, 222)(109, 223)(110, 224)(111, 225)(112, 226)(113, 227)(114, 228)
	local type(s) :: { ( 76^3 ), ( 76^6 ) }
Outer automorphisms :: chiral
Dual of E28.2464
Transitivity :: ET+
Graph:: simple bipartite
	v = 57 e = 114 f = 3
	degree seq :: [ 3^38, 6^19 ]

E28.2460 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 6, 38})
Quotient :: edge
Aut^+ = C2 x (C19 : C3) (small group id <114, 2>)
Aut   = C2 x (C19 : C3) (small group id <114, 2>)
|r| :: 1
Presentation :: [ (X2^-1 * X1)^3, (X1^-1 * X2^-1)^3, (X2 * X1^-1)^3, X1^6, X1^-1 * X2^-1 * X1^-3 * X2 * X1^-2, X2 * X1 * X2^-1 * X1^-1 * X2^-1 * X1 * X2 * X1^-1, X2^3 * X1^-2 * X2^-2 * X1^-1, X1^-1 * X2^2 * X1^-1 * X2^-3 * X1^-1, X2^-2 * X1^-2 * X2^-5 * X1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 6, 18, 13, 4)(3, 9, 27, 49, 33, 11)(5, 15, 42, 50, 45, 16)(7, 21, 57, 38, 62, 23)(8, 24, 64, 39, 67, 25)(10, 30, 75, 93, 80, 32)(12, 35, 53, 19, 51, 37)(14, 40, 55, 20, 54, 28)(17, 46, 89, 94, 74, 47)(22, 59, 31, 78, 109, 61)(26, 68, 48, 87, 105, 69)(29, 73, 111, 81, 113, 66)(34, 82, 114, 71, 99, 76)(36, 85, 97, 52, 96, 60)(41, 88, 102, 56, 101, 70)(43, 90, 103, 77, 106, 63)(44, 84, 108, 83, 95, 91)(58, 104, 72, 110, 79, 100)(65, 112, 86, 107, 92, 98)(115, 117, 124, 145, 193, 215, 198, 149, 178, 225, 177, 137, 168, 213, 199, 226, 183, 208, 164, 132, 163, 207, 175, 218, 202, 209, 165, 139, 180, 217, 171, 154, 196, 210, 206, 162, 131, 119)(116, 121, 136, 174, 222, 188, 143, 123, 142, 186, 212, 167, 159, 191, 144, 190, 216, 201, 153, 127, 152, 192, 211, 205, 160, 195, 147, 169, 214, 200, 151, 129, 157, 194, 228, 184, 140, 122)(118, 126, 150, 189, 227, 182, 224, 176, 156, 197, 148, 125, 138, 179, 223, 204, 161, 170, 134, 120, 133, 166, 146, 187, 219, 172, 135, 130, 158, 185, 141, 181, 221, 173, 220, 203, 155, 128)
	L = (1, 115)(2, 116)(3, 117)(4, 118)(5, 119)(6, 120)(7, 121)(8, 122)(9, 123)(10, 124)(11, 125)(12, 126)(13, 127)(14, 128)(15, 129)(16, 130)(17, 131)(18, 132)(19, 133)(20, 134)(21, 135)(22, 136)(23, 137)(24, 138)(25, 139)(26, 140)(27, 141)(28, 142)(29, 143)(30, 144)(31, 145)(32, 146)(33, 147)(34, 148)(35, 149)(36, 150)(37, 151)(38, 152)(39, 153)(40, 154)(41, 155)(42, 156)(43, 157)(44, 158)(45, 159)(46, 160)(47, 161)(48, 162)(49, 163)(50, 164)(51, 165)(52, 166)(53, 167)(54, 168)(55, 169)(56, 170)(57, 171)(58, 172)(59, 173)(60, 174)(61, 175)(62, 176)(63, 177)(64, 178)(65, 179)(66, 180)(67, 181)(68, 182)(69, 183)(70, 184)(71, 185)(72, 186)(73, 187)(74, 188)(75, 189)(76, 190)(77, 191)(78, 192)(79, 193)(80, 194)(81, 195)(82, 196)(83, 197)(84, 198)(85, 199)(86, 200)(87, 201)(88, 202)(89, 203)(90, 204)(91, 205)(92, 206)(93, 207)(94, 208)(95, 209)(96, 210)(97, 211)(98, 212)(99, 213)(100, 214)(101, 215)(102, 216)(103, 217)(104, 218)(105, 219)(106, 220)(107, 221)(108, 222)(109, 223)(110, 224)(111, 225)(112, 226)(113, 227)(114, 228)
	local type(s) :: { ( 6^6 ), ( 6^38 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: bipartite
	v = 22 e = 114 f = 38
	degree seq :: [ 6^19, 38^3 ]

E28.2461 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 6, 38})
Quotient :: edge
Aut^+ = C2 x (C19 : C3) (small group id <114, 2>)
Aut   = C2 x (C19 : C3) (small group id <114, 2>)
|r| :: 1
Presentation :: [ X2^3, X1 * X2 * X1 * X2^-1 * X1^-1 * X2 * X1^-1 * X2^-1, X1^3 * X2 * X1 * X2 * X1^-2 * X2, X1 * X2 * X1^-1 * X2 * X1 * X2 * X1^3, (X1^2 * X2)^3, (X2 * X1^-2)^3, X1^4 * X2^-1 * X1 * X2^-1 * X1^-1 * X2^-1, X1^3 * X2^-1 * X1^-2 * X2^-1 * X1 * X2^-1, (X2^-1 * X1^-1)^6, X1^38 ]
Map:: non-degenerate
	R = (1, 2, 6, 16, 42, 100, 85, 37, 56, 103, 66, 25, 51, 101, 91, 108, 71, 107, 112, 114, 113, 111, 63, 105, 95, 110, 72, 28, 54, 102, 87, 39, 58, 104, 80, 32, 12, 4)(3, 9, 23, 61, 86, 53, 20, 7, 19, 49, 94, 38, 93, 46, 17, 45, 97, 79, 57, 109, 89, 43, 92, 78, 31, 77, 99, 41, 98, 76, 30, 11, 29, 73, 60, 70, 27, 10)(5, 14, 36, 90, 52, 81, 65, 24, 64, 59, 22, 8, 21, 55, 62, 83, 33, 82, 50, 106, 75, 48, 18, 47, 69, 88, 35, 13, 34, 84, 68, 26, 67, 44, 74, 96, 40, 15)(115, 117, 119)(116, 121, 122)(118, 125, 127)(120, 131, 132)(123, 138, 139)(124, 140, 142)(126, 145, 147)(128, 151, 152)(129, 153, 155)(130, 157, 158)(133, 164, 165)(134, 166, 168)(135, 170, 171)(136, 172, 174)(137, 176, 177)(141, 183, 185)(143, 188, 180)(144, 189, 186)(146, 193, 195)(148, 199, 200)(149, 201, 203)(150, 205, 206)(154, 209, 211)(156, 212, 179)(159, 198, 215)(160, 197, 216)(161, 217, 191)(162, 218, 175)(163, 202, 219)(167, 210, 221)(169, 222, 190)(173, 224, 192)(178, 226, 207)(181, 194, 208)(182, 227, 213)(184, 196, 214)(187, 204, 225)(220, 228, 223)
	L = (1, 115)(2, 116)(3, 117)(4, 118)(5, 119)(6, 120)(7, 121)(8, 122)(9, 123)(10, 124)(11, 125)(12, 126)(13, 127)(14, 128)(15, 129)(16, 130)(17, 131)(18, 132)(19, 133)(20, 134)(21, 135)(22, 136)(23, 137)(24, 138)(25, 139)(26, 140)(27, 141)(28, 142)(29, 143)(30, 144)(31, 145)(32, 146)(33, 147)(34, 148)(35, 149)(36, 150)(37, 151)(38, 152)(39, 153)(40, 154)(41, 155)(42, 156)(43, 157)(44, 158)(45, 159)(46, 160)(47, 161)(48, 162)(49, 163)(50, 164)(51, 165)(52, 166)(53, 167)(54, 168)(55, 169)(56, 170)(57, 171)(58, 172)(59, 173)(60, 174)(61, 175)(62, 176)(63, 177)(64, 178)(65, 179)(66, 180)(67, 181)(68, 182)(69, 183)(70, 184)(71, 185)(72, 186)(73, 187)(74, 188)(75, 189)(76, 190)(77, 191)(78, 192)(79, 193)(80, 194)(81, 195)(82, 196)(83, 197)(84, 198)(85, 199)(86, 200)(87, 201)(88, 202)(89, 203)(90, 204)(91, 205)(92, 206)(93, 207)(94, 208)(95, 209)(96, 210)(97, 211)(98, 212)(99, 213)(100, 214)(101, 215)(102, 216)(103, 217)(104, 218)(105, 219)(106, 220)(107, 221)(108, 222)(109, 223)(110, 224)(111, 225)(112, 226)(113, 227)(114, 228)
	local type(s) :: { ( 12^3 ), ( 12^38 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 41 e = 114 f = 19
	degree seq :: [ 3^38, 38^3 ]

E28.2462 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 6, 38})
Quotient :: loop
Aut^+ = C2 x (C19 : C3) (small group id <114, 2>)
Aut   = C2 x (C19 : C3) (small group id <114, 2>)
|r| :: 1
Presentation :: [ X1^3, X2^6, X1 * X2^2 * X1 * X2^-1 * X1 * X2^-1, X2^2 * X1^2 * X2^3 * X1 * X2, X1^-1 * X2^-1 * X1 * X2^-2 * X1 * X2 * X1^-1 * X2^-1 * X1^-1 * X2^-1, X2^-2 * X1 * X2 * X1 * X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2 * X1 ]
Map:: polytopal non-degenerate
	R = (1, 115, 2, 116, 4, 118)(3, 117, 8, 122, 10, 124)(5, 119, 13, 127, 14, 128)(6, 120, 16, 130, 18, 132)(7, 121, 19, 133, 20, 134)(9, 123, 24, 138, 26, 140)(11, 125, 29, 143, 31, 145)(12, 126, 32, 146, 33, 147)(15, 129, 39, 153, 40, 154)(17, 131, 27, 141, 44, 158)(21, 135, 49, 163, 50, 164)(22, 136, 51, 165, 53, 167)(23, 137, 37, 151, 54, 168)(25, 139, 43, 157, 57, 171)(28, 142, 61, 175, 62, 176)(30, 144, 45, 159, 65, 179)(34, 148, 68, 182, 36, 150)(35, 149, 69, 183, 70, 184)(38, 152, 71, 185, 72, 186)(41, 155, 73, 187, 75, 189)(42, 156, 47, 161, 76, 190)(46, 160, 81, 195, 82, 196)(48, 162, 83, 197, 84, 198)(52, 166, 58, 172, 87, 201)(55, 169, 92, 206, 93, 207)(56, 170, 94, 208, 95, 209)(59, 173, 96, 210, 97, 211)(60, 174, 88, 202, 98, 212)(63, 177, 101, 215, 103, 217)(64, 178, 66, 180, 104, 218)(67, 181, 108, 222, 109, 223)(74, 188, 78, 192, 112, 226)(77, 191, 110, 224, 85, 199)(79, 193, 99, 213, 114, 228)(80, 194, 86, 200, 90, 204)(89, 203, 111, 225, 105, 219)(91, 205, 113, 227, 107, 221)(100, 214, 102, 216, 106, 220)
	L = (1, 117)(2, 120)(3, 123)(4, 125)(5, 115)(6, 131)(7, 116)(8, 136)(9, 139)(10, 141)(11, 144)(12, 118)(13, 149)(14, 151)(15, 119)(16, 155)(17, 157)(18, 159)(19, 142)(20, 161)(21, 121)(22, 166)(23, 122)(24, 170)(25, 129)(26, 172)(27, 174)(28, 124)(29, 177)(30, 171)(31, 138)(32, 160)(33, 180)(34, 126)(35, 145)(36, 127)(37, 173)(38, 128)(39, 169)(40, 133)(41, 188)(42, 130)(43, 135)(44, 192)(45, 194)(46, 132)(47, 193)(48, 134)(49, 191)(50, 146)(51, 199)(52, 153)(53, 202)(54, 204)(55, 137)(56, 150)(57, 148)(58, 152)(59, 140)(60, 154)(61, 203)(62, 213)(63, 216)(64, 143)(65, 220)(66, 221)(67, 147)(68, 219)(69, 224)(70, 210)(71, 226)(72, 227)(73, 225)(74, 163)(75, 200)(76, 209)(77, 156)(78, 162)(79, 158)(80, 164)(81, 206)(82, 205)(83, 214)(84, 211)(85, 195)(86, 165)(87, 196)(88, 215)(89, 167)(90, 222)(91, 168)(92, 189)(93, 175)(94, 187)(95, 185)(96, 190)(97, 223)(98, 197)(99, 218)(100, 176)(101, 207)(102, 182)(103, 208)(104, 212)(105, 178)(106, 181)(107, 179)(108, 201)(109, 228)(110, 217)(111, 183)(112, 184)(113, 198)(114, 186)
	local type(s) :: { ( 6, 38, 6, 38, 6, 38 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: simple bipartite
	v = 38 e = 114 f = 22
	degree seq :: [ 6^38 ]

E28.2463 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 6, 38})
Quotient :: loop
Aut^+ = C2 x (C19 : C3) (small group id <114, 2>)
Aut   = C2 x (C19 : C3) (small group id <114, 2>)
|r| :: 1
Presentation :: [ (X2^-1 * X1)^3, (X1^-1 * X2^-1)^3, (X2 * X1^-1)^3, X1^6, X1^-1 * X2^-1 * X1^-3 * X2 * X1^-2, X2 * X1 * X2^-1 * X1^-1 * X2^-1 * X1 * X2 * X1^-1, X2^3 * X1^-2 * X2^-2 * X1^-1, X1^-1 * X2^2 * X1^-1 * X2^-3 * X1^-1, X2^-2 * X1^-2 * X2^-5 * X1^-1 ]
Map:: non-degenerate
	R = (1, 115, 2, 116, 6, 120, 18, 132, 13, 127, 4, 118)(3, 117, 9, 123, 27, 141, 49, 163, 33, 147, 11, 125)(5, 119, 15, 129, 42, 156, 50, 164, 45, 159, 16, 130)(7, 121, 21, 135, 57, 171, 38, 152, 62, 176, 23, 137)(8, 122, 24, 138, 64, 178, 39, 153, 67, 181, 25, 139)(10, 124, 30, 144, 75, 189, 93, 207, 80, 194, 32, 146)(12, 126, 35, 149, 53, 167, 19, 133, 51, 165, 37, 151)(14, 128, 40, 154, 55, 169, 20, 134, 54, 168, 28, 142)(17, 131, 46, 160, 89, 203, 94, 208, 74, 188, 47, 161)(22, 136, 59, 173, 31, 145, 78, 192, 109, 223, 61, 175)(26, 140, 68, 182, 48, 162, 87, 201, 105, 219, 69, 183)(29, 143, 73, 187, 111, 225, 81, 195, 113, 227, 66, 180)(34, 148, 82, 196, 114, 228, 71, 185, 99, 213, 76, 190)(36, 150, 85, 199, 97, 211, 52, 166, 96, 210, 60, 174)(41, 155, 88, 202, 102, 216, 56, 170, 101, 215, 70, 184)(43, 157, 90, 204, 103, 217, 77, 191, 106, 220, 63, 177)(44, 158, 84, 198, 108, 222, 83, 197, 95, 209, 91, 205)(58, 172, 104, 218, 72, 186, 110, 224, 79, 193, 100, 214)(65, 179, 112, 226, 86, 200, 107, 221, 92, 206, 98, 212)
	L = (1, 117)(2, 121)(3, 124)(4, 126)(5, 115)(6, 133)(7, 136)(8, 116)(9, 142)(10, 145)(11, 138)(12, 150)(13, 152)(14, 118)(15, 157)(16, 158)(17, 119)(18, 163)(19, 166)(20, 120)(21, 130)(22, 174)(23, 168)(24, 179)(25, 180)(26, 122)(27, 181)(28, 186)(29, 123)(30, 190)(31, 193)(32, 187)(33, 169)(34, 125)(35, 178)(36, 189)(37, 129)(38, 192)(39, 127)(40, 196)(41, 128)(42, 197)(43, 194)(44, 185)(45, 191)(46, 195)(47, 170)(48, 131)(49, 207)(50, 132)(51, 139)(52, 146)(53, 159)(54, 213)(55, 214)(56, 134)(57, 154)(58, 135)(59, 220)(60, 222)(61, 218)(62, 156)(63, 137)(64, 225)(65, 223)(66, 217)(67, 221)(68, 224)(69, 208)(70, 140)(71, 141)(72, 212)(73, 219)(74, 143)(75, 227)(76, 216)(77, 144)(78, 211)(79, 215)(80, 228)(81, 147)(82, 210)(83, 148)(84, 149)(85, 226)(86, 151)(87, 153)(88, 209)(89, 155)(90, 161)(91, 160)(92, 162)(93, 175)(94, 164)(95, 165)(96, 206)(97, 205)(98, 167)(99, 199)(100, 200)(101, 198)(102, 201)(103, 171)(104, 202)(105, 172)(106, 203)(107, 173)(108, 188)(109, 204)(110, 176)(111, 177)(112, 183)(113, 182)(114, 184)
	local type(s) :: { ( 3, 38, 3, 38, 3, 38, 3, 38, 3, 38, 3, 38 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph::
	v = 19 e = 114 f = 41
	degree seq :: [ 12^19 ]

E28.2464 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 6, 38})
Quotient :: loop
Aut^+ = C2 x (C19 : C3) (small group id <114, 2>)
Aut   = C2 x (C19 : C3) (small group id <114, 2>)
|r| :: 1
Presentation :: [ X2^3, X1 * X2 * X1 * X2^-1 * X1^-1 * X2 * X1^-1 * X2^-1, X1^3 * X2 * X1 * X2 * X1^-2 * X2, X1 * X2 * X1^-1 * X2 * X1 * X2 * X1^3, (X1^2 * X2)^3, (X2 * X1^-2)^3, X1^4 * X2^-1 * X1 * X2^-1 * X1^-1 * X2^-1, X1^3 * X2^-1 * X1^-2 * X2^-1 * X1 * X2^-1, (X2^-1 * X1^-1)^6, X1^38 ]
Map:: non-degenerate
	R = (1, 115, 2, 116, 6, 120, 16, 130, 42, 156, 100, 214, 85, 199, 37, 151, 56, 170, 103, 217, 66, 180, 25, 139, 51, 165, 101, 215, 91, 205, 108, 222, 71, 185, 107, 221, 112, 226, 114, 228, 113, 227, 111, 225, 63, 177, 105, 219, 95, 209, 110, 224, 72, 186, 28, 142, 54, 168, 102, 216, 87, 201, 39, 153, 58, 172, 104, 218, 80, 194, 32, 146, 12, 126, 4, 118)(3, 117, 9, 123, 23, 137, 61, 175, 86, 200, 53, 167, 20, 134, 7, 121, 19, 133, 49, 163, 94, 208, 38, 152, 93, 207, 46, 160, 17, 131, 45, 159, 97, 211, 79, 193, 57, 171, 109, 223, 89, 203, 43, 157, 92, 206, 78, 192, 31, 145, 77, 191, 99, 213, 41, 155, 98, 212, 76, 190, 30, 144, 11, 125, 29, 143, 73, 187, 60, 174, 70, 184, 27, 141, 10, 124)(5, 119, 14, 128, 36, 150, 90, 204, 52, 166, 81, 195, 65, 179, 24, 138, 64, 178, 59, 173, 22, 136, 8, 122, 21, 135, 55, 169, 62, 176, 83, 197, 33, 147, 82, 196, 50, 164, 106, 220, 75, 189, 48, 162, 18, 132, 47, 161, 69, 183, 88, 202, 35, 149, 13, 127, 34, 148, 84, 198, 68, 182, 26, 140, 67, 181, 44, 158, 74, 188, 96, 210, 40, 154, 15, 129)
	L = (1, 117)(2, 121)(3, 119)(4, 125)(5, 115)(6, 131)(7, 122)(8, 116)(9, 138)(10, 140)(11, 127)(12, 145)(13, 118)(14, 151)(15, 153)(16, 157)(17, 132)(18, 120)(19, 164)(20, 166)(21, 170)(22, 172)(23, 176)(24, 139)(25, 123)(26, 142)(27, 183)(28, 124)(29, 188)(30, 189)(31, 147)(32, 193)(33, 126)(34, 199)(35, 201)(36, 205)(37, 152)(38, 128)(39, 155)(40, 209)(41, 129)(42, 212)(43, 158)(44, 130)(45, 198)(46, 197)(47, 217)(48, 218)(49, 202)(50, 165)(51, 133)(52, 168)(53, 210)(54, 134)(55, 222)(56, 171)(57, 135)(58, 174)(59, 224)(60, 136)(61, 162)(62, 177)(63, 137)(64, 226)(65, 156)(66, 143)(67, 194)(68, 227)(69, 185)(70, 196)(71, 141)(72, 144)(73, 204)(74, 180)(75, 186)(76, 169)(77, 161)(78, 173)(79, 195)(80, 208)(81, 146)(82, 214)(83, 216)(84, 215)(85, 200)(86, 148)(87, 203)(88, 219)(89, 149)(90, 225)(91, 206)(92, 150)(93, 178)(94, 181)(95, 211)(96, 221)(97, 154)(98, 179)(99, 182)(100, 184)(101, 159)(102, 160)(103, 191)(104, 175)(105, 163)(106, 228)(107, 167)(108, 190)(109, 220)(110, 192)(111, 187)(112, 207)(113, 213)(114, 223)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: chiral
Dual of E28.2459
Transitivity :: ET+ VT+
Graph::
	v = 3 e = 114 f = 57
	degree seq :: [ 76^3 ]

E28.2465 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 57, 114})
Quotient :: regular
Aut^+ = C114 (small group id <114, 6>)
Aut   = D228 (small group id <228, 14>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T2 * T1^-57 ]
Map::
	R = (1, 2, 5, 9, 13, 17, 21, 25, 29, 35, 38, 40, 42, 44, 46, 48, 50, 55, 52, 53, 56, 58, 60, 62, 64, 66, 68, 74, 77, 79, 81, 83, 85, 87, 89, 98, 95, 96, 99, 101, 94, 103, 104, 105, 107, 113, 110, 91, 70, 51, 31, 27, 23, 19, 15, 11, 7, 3, 6, 10, 14, 18, 22, 26, 30, 36, 33, 34, 37, 39, 41, 43, 45, 47, 49, 54, 57, 59, 61, 63, 65, 67, 69, 75, 72, 73, 76, 78, 80, 82, 84, 86, 88, 97, 100, 102, 92, 71, 93, 106, 108, 114, 111, 112, 109, 90, 32, 28, 24, 20, 16, 12, 8, 4)
	L = (1, 3)(2, 6)(4, 7)(5, 10)(8, 11)(9, 14)(12, 15)(13, 18)(16, 19)(17, 22)(20, 23)(21, 26)(24, 27)(25, 30)(28, 31)(29, 36)(32, 51)(33, 35)(34, 38)(37, 40)(39, 42)(41, 44)(43, 46)(45, 48)(47, 50)(49, 55)(52, 54)(53, 57)(56, 59)(58, 61)(60, 63)(62, 65)(64, 67)(66, 69)(68, 75)(70, 90)(71, 94)(72, 74)(73, 77)(76, 79)(78, 81)(80, 83)(82, 85)(84, 87)(86, 89)(88, 98)(91, 109)(92, 101)(93, 103)(95, 97)(96, 100)(99, 102)(104, 106)(105, 108)(107, 114)(110, 112)(111, 113)
	local type(s) :: { ( 57^114 ) }
Outer automorphisms :: reflexible
Dual of E28.2466
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 1 e = 57 f = 2
	degree seq :: [ 114 ]

E28.2466 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 57, 114})
Quotient :: regular
Aut^+ = C114 (small group id <114, 6>)
Aut   = D228 (small group id <228, 14>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T1^57 ]
Map::
	R = (1, 2, 5, 9, 13, 17, 21, 25, 29, 36, 38, 40, 42, 44, 46, 48, 50, 51, 52, 54, 56, 58, 60, 62, 64, 71, 73, 75, 77, 79, 81, 83, 90, 91, 92, 93, 95, 97, 99, 101, 86, 67, 87, 107, 112, 113, 114, 104, 84, 32, 28, 24, 20, 16, 12, 8, 4)(3, 6, 10, 14, 18, 22, 26, 30, 33, 34, 35, 37, 39, 41, 43, 45, 47, 53, 55, 57, 59, 61, 63, 65, 68, 69, 70, 72, 74, 76, 78, 80, 82, 89, 94, 96, 98, 100, 102, 103, 105, 88, 108, 109, 110, 111, 106, 85, 66, 49, 31, 27, 23, 19, 15, 11, 7)
	L = (1, 3)(2, 6)(4, 7)(5, 10)(8, 11)(9, 14)(12, 15)(13, 18)(16, 19)(17, 22)(20, 23)(21, 26)(24, 27)(25, 30)(28, 31)(29, 33)(32, 49)(34, 36)(35, 38)(37, 40)(39, 42)(41, 44)(43, 46)(45, 48)(47, 50)(51, 53)(52, 55)(54, 57)(56, 59)(58, 61)(60, 63)(62, 65)(64, 68)(66, 84)(67, 88)(69, 71)(70, 73)(72, 75)(74, 77)(76, 79)(78, 81)(80, 83)(82, 90)(85, 104)(86, 105)(87, 108)(89, 91)(92, 94)(93, 96)(95, 98)(97, 100)(99, 102)(101, 103)(106, 114)(107, 109)(110, 112)(111, 113)
	local type(s) :: { ( 114^57 ) }
Outer automorphisms :: reflexible
Dual of E28.2465
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 57 f = 1
	degree seq :: [ 57^2 ]

E28.2467 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 57, 114})
Quotient :: edge
Aut^+ = C114 (small group id <114, 6>)
Aut   = D228 (small group id <228, 14>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^57 ]
Map::
	R = (1, 3, 7, 11, 15, 19, 23, 27, 31, 38, 34, 37, 41, 43, 45, 47, 49, 51, 61, 57, 54, 56, 60, 63, 65, 67, 69, 71, 73, 81, 77, 80, 84, 86, 88, 90, 92, 94, 98, 75, 100, 102, 104, 106, 108, 110, 112, 114, 96, 32, 28, 24, 20, 16, 12, 8, 4)(2, 5, 9, 13, 17, 21, 25, 29, 40, 36, 33, 35, 39, 42, 44, 46, 48, 50, 52, 59, 55, 58, 62, 64, 66, 68, 70, 72, 83, 79, 76, 78, 82, 85, 87, 89, 91, 93, 95, 99, 101, 103, 105, 107, 109, 111, 113, 97, 74, 53, 30, 26, 22, 18, 14, 10, 6)(115, 116)(117, 119)(118, 120)(121, 123)(122, 124)(125, 127)(126, 128)(129, 131)(130, 132)(133, 135)(134, 136)(137, 139)(138, 140)(141, 143)(142, 144)(145, 154)(146, 167)(147, 148)(149, 151)(150, 152)(153, 155)(156, 157)(158, 159)(160, 161)(162, 163)(164, 165)(166, 175)(168, 169)(170, 172)(171, 173)(174, 176)(177, 178)(179, 180)(181, 182)(183, 184)(185, 186)(187, 197)(188, 210)(189, 213)(190, 191)(192, 194)(193, 195)(196, 198)(199, 200)(201, 202)(203, 204)(205, 206)(207, 208)(209, 212)(211, 228)(214, 215)(216, 217)(218, 219)(220, 221)(222, 223)(224, 225)(226, 227)
	L = (1, 115)(2, 116)(3, 117)(4, 118)(5, 119)(6, 120)(7, 121)(8, 122)(9, 123)(10, 124)(11, 125)(12, 126)(13, 127)(14, 128)(15, 129)(16, 130)(17, 131)(18, 132)(19, 133)(20, 134)(21, 135)(22, 136)(23, 137)(24, 138)(25, 139)(26, 140)(27, 141)(28, 142)(29, 143)(30, 144)(31, 145)(32, 146)(33, 147)(34, 148)(35, 149)(36, 150)(37, 151)(38, 152)(39, 153)(40, 154)(41, 155)(42, 156)(43, 157)(44, 158)(45, 159)(46, 160)(47, 161)(48, 162)(49, 163)(50, 164)(51, 165)(52, 166)(53, 167)(54, 168)(55, 169)(56, 170)(57, 171)(58, 172)(59, 173)(60, 174)(61, 175)(62, 176)(63, 177)(64, 178)(65, 179)(66, 180)(67, 181)(68, 182)(69, 183)(70, 184)(71, 185)(72, 186)(73, 187)(74, 188)(75, 189)(76, 190)(77, 191)(78, 192)(79, 193)(80, 194)(81, 195)(82, 196)(83, 197)(84, 198)(85, 199)(86, 200)(87, 201)(88, 202)(89, 203)(90, 204)(91, 205)(92, 206)(93, 207)(94, 208)(95, 209)(96, 210)(97, 211)(98, 212)(99, 213)(100, 214)(101, 215)(102, 216)(103, 217)(104, 218)(105, 219)(106, 220)(107, 221)(108, 222)(109, 223)(110, 224)(111, 225)(112, 226)(113, 227)(114, 228)
	local type(s) :: { ( 228, 228 ), ( 228^57 ) }
Outer automorphisms :: reflexible
Dual of E28.2471
Transitivity :: ET+
Graph:: simple bipartite
	v = 59 e = 114 f = 1
	degree seq :: [ 2^57, 57^2 ]

E28.2468 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 57, 114})
Quotient :: edge
Aut^+ = C114 (small group id <114, 6>)
Aut   = D228 (small group id <228, 14>)
|r| :: 2
Presentation :: [ F^2, T2^-2 * T1^-2, (F * T2)^2, (F * T1)^2, (T2^-1 * T1^-1)^2, T2^-2 * T1^26 * T2^-1 * T1 * T2^-27, T2^-2 * T1^55, T2^25 * T1^24 * T2^-1 * T1^27 * T2^-1 * T1^27 * T2^-1 * T1 ]
Map:: non-degenerate
	R = (1, 3, 9, 13, 17, 21, 25, 29, 33, 53, 73, 95, 113, 112, 109, 108, 105, 100, 75, 97, 102, 104, 94, 91, 90, 87, 86, 83, 82, 78, 81, 72, 69, 68, 65, 64, 61, 60, 56, 59, 52, 49, 48, 45, 44, 41, 40, 36, 39, 32, 27, 24, 19, 16, 11, 8, 2, 7, 4, 10, 14, 18, 22, 26, 30, 34, 54, 74, 96, 114, 111, 110, 107, 106, 99, 76, 98, 103, 101, 93, 92, 89, 88, 85, 84, 80, 79, 77, 71, 70, 67, 66, 63, 62, 58, 57, 55, 51, 50, 47, 46, 43, 42, 38, 37, 35, 31, 28, 23, 20, 15, 12, 6, 5)(115, 116, 120, 125, 129, 133, 137, 141, 145, 153, 151, 154, 156, 158, 160, 162, 164, 166, 169, 170, 172, 175, 177, 179, 181, 183, 185, 195, 193, 196, 198, 200, 202, 204, 206, 208, 215, 216, 212, 189, 213, 219, 221, 223, 225, 227, 210, 187, 168, 147, 144, 139, 136, 131, 128, 123, 118)(117, 121, 119, 122, 126, 130, 134, 138, 142, 146, 149, 150, 152, 155, 157, 159, 161, 163, 165, 173, 171, 174, 176, 178, 180, 182, 184, 186, 191, 192, 194, 197, 199, 201, 203, 205, 207, 218, 217, 211, 190, 214, 220, 222, 224, 226, 228, 209, 188, 167, 148, 143, 140, 135, 132, 127, 124)
	L = (1, 115)(2, 116)(3, 117)(4, 118)(5, 119)(6, 120)(7, 121)(8, 122)(9, 123)(10, 124)(11, 125)(12, 126)(13, 127)(14, 128)(15, 129)(16, 130)(17, 131)(18, 132)(19, 133)(20, 134)(21, 135)(22, 136)(23, 137)(24, 138)(25, 139)(26, 140)(27, 141)(28, 142)(29, 143)(30, 144)(31, 145)(32, 146)(33, 147)(34, 148)(35, 149)(36, 150)(37, 151)(38, 152)(39, 153)(40, 154)(41, 155)(42, 156)(43, 157)(44, 158)(45, 159)(46, 160)(47, 161)(48, 162)(49, 163)(50, 164)(51, 165)(52, 166)(53, 167)(54, 168)(55, 169)(56, 170)(57, 171)(58, 172)(59, 173)(60, 174)(61, 175)(62, 176)(63, 177)(64, 178)(65, 179)(66, 180)(67, 181)(68, 182)(69, 183)(70, 184)(71, 185)(72, 186)(73, 187)(74, 188)(75, 189)(76, 190)(77, 191)(78, 192)(79, 193)(80, 194)(81, 195)(82, 196)(83, 197)(84, 198)(85, 199)(86, 200)(87, 201)(88, 202)(89, 203)(90, 204)(91, 205)(92, 206)(93, 207)(94, 208)(95, 209)(96, 210)(97, 211)(98, 212)(99, 213)(100, 214)(101, 215)(102, 216)(103, 217)(104, 218)(105, 219)(106, 220)(107, 221)(108, 222)(109, 223)(110, 224)(111, 225)(112, 226)(113, 227)(114, 228)
	local type(s) :: { ( 4^57 ), ( 4^114 ) }
Outer automorphisms :: reflexible
Dual of E28.2472
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 114 f = 57
	degree seq :: [ 57^2, 114 ]

E28.2469 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 57, 114})
Quotient :: edge
Aut^+ = C114 (small group id <114, 6>)
Aut   = D228 (small group id <228, 14>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T2 * T1^-57 ]
Map::
	R = (1, 3)(2, 6)(4, 7)(5, 10)(8, 11)(9, 14)(12, 15)(13, 18)(16, 19)(17, 22)(20, 23)(21, 26)(24, 27)(25, 30)(28, 31)(29, 36)(32, 51)(33, 35)(34, 38)(37, 40)(39, 42)(41, 44)(43, 46)(45, 48)(47, 50)(49, 55)(52, 54)(53, 57)(56, 59)(58, 61)(60, 63)(62, 65)(64, 67)(66, 69)(68, 75)(70, 90)(71, 94)(72, 74)(73, 77)(76, 79)(78, 81)(80, 83)(82, 85)(84, 87)(86, 89)(88, 98)(91, 109)(92, 101)(93, 103)(95, 97)(96, 100)(99, 102)(104, 106)(105, 108)(107, 114)(110, 112)(111, 113)(115, 116, 119, 123, 127, 131, 135, 139, 143, 149, 152, 154, 156, 158, 160, 162, 164, 169, 166, 167, 170, 172, 174, 176, 178, 180, 182, 188, 191, 193, 195, 197, 199, 201, 203, 212, 209, 210, 213, 215, 208, 217, 218, 219, 221, 227, 224, 205, 184, 165, 145, 141, 137, 133, 129, 125, 121, 117, 120, 124, 128, 132, 136, 140, 144, 150, 147, 148, 151, 153, 155, 157, 159, 161, 163, 168, 171, 173, 175, 177, 179, 181, 183, 189, 186, 187, 190, 192, 194, 196, 198, 200, 202, 211, 214, 216, 206, 185, 207, 220, 222, 228, 225, 226, 223, 204, 146, 142, 138, 134, 130, 126, 122, 118)
	L = (1, 115)(2, 116)(3, 117)(4, 118)(5, 119)(6, 120)(7, 121)(8, 122)(9, 123)(10, 124)(11, 125)(12, 126)(13, 127)(14, 128)(15, 129)(16, 130)(17, 131)(18, 132)(19, 133)(20, 134)(21, 135)(22, 136)(23, 137)(24, 138)(25, 139)(26, 140)(27, 141)(28, 142)(29, 143)(30, 144)(31, 145)(32, 146)(33, 147)(34, 148)(35, 149)(36, 150)(37, 151)(38, 152)(39, 153)(40, 154)(41, 155)(42, 156)(43, 157)(44, 158)(45, 159)(46, 160)(47, 161)(48, 162)(49, 163)(50, 164)(51, 165)(52, 166)(53, 167)(54, 168)(55, 169)(56, 170)(57, 171)(58, 172)(59, 173)(60, 174)(61, 175)(62, 176)(63, 177)(64, 178)(65, 179)(66, 180)(67, 181)(68, 182)(69, 183)(70, 184)(71, 185)(72, 186)(73, 187)(74, 188)(75, 189)(76, 190)(77, 191)(78, 192)(79, 193)(80, 194)(81, 195)(82, 196)(83, 197)(84, 198)(85, 199)(86, 200)(87, 201)(88, 202)(89, 203)(90, 204)(91, 205)(92, 206)(93, 207)(94, 208)(95, 209)(96, 210)(97, 211)(98, 212)(99, 213)(100, 214)(101, 215)(102, 216)(103, 217)(104, 218)(105, 219)(106, 220)(107, 221)(108, 222)(109, 223)(110, 224)(111, 225)(112, 226)(113, 227)(114, 228)
	local type(s) :: { ( 114, 114 ), ( 114^114 ) }
Outer automorphisms :: reflexible
Dual of E28.2470
Transitivity :: ET+
Graph:: bipartite
	v = 58 e = 114 f = 2
	degree seq :: [ 2^57, 114 ]

E28.2470 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 57, 114})
Quotient :: loop
Aut^+ = C114 (small group id <114, 6>)
Aut   = D228 (small group id <228, 14>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^57 ]
Map::
	R = (1, 115, 3, 117, 7, 121, 11, 125, 15, 129, 19, 133, 23, 137, 27, 141, 31, 145, 34, 148, 37, 151, 39, 153, 41, 155, 43, 157, 45, 159, 47, 161, 49, 163, 55, 169, 52, 166, 54, 168, 57, 171, 59, 173, 61, 175, 63, 177, 65, 179, 67, 181, 69, 183, 73, 187, 76, 190, 78, 192, 80, 194, 82, 196, 84, 198, 86, 200, 88, 202, 98, 212, 95, 209, 97, 211, 100, 214, 92, 206, 71, 185, 94, 208, 104, 218, 106, 220, 108, 222, 112, 226, 114, 228, 109, 223, 90, 204, 32, 146, 28, 142, 24, 138, 20, 134, 16, 130, 12, 126, 8, 122, 4, 118)(2, 116, 5, 119, 9, 123, 13, 127, 17, 131, 21, 135, 25, 139, 29, 143, 36, 150, 33, 147, 35, 149, 38, 152, 40, 154, 42, 156, 44, 158, 46, 160, 48, 162, 50, 164, 53, 167, 56, 170, 58, 172, 60, 174, 62, 176, 64, 178, 66, 180, 68, 182, 75, 189, 72, 186, 74, 188, 77, 191, 79, 193, 81, 195, 83, 197, 85, 199, 87, 201, 89, 203, 96, 210, 99, 213, 101, 215, 102, 216, 93, 207, 103, 217, 105, 219, 107, 221, 113, 227, 111, 225, 110, 224, 91, 205, 70, 184, 51, 165, 30, 144, 26, 140, 22, 136, 18, 132, 14, 128, 10, 124, 6, 120)
	L = (1, 116)(2, 115)(3, 119)(4, 120)(5, 117)(6, 118)(7, 123)(8, 124)(9, 121)(10, 122)(11, 127)(12, 128)(13, 125)(14, 126)(15, 131)(16, 132)(17, 129)(18, 130)(19, 135)(20, 136)(21, 133)(22, 134)(23, 139)(24, 140)(25, 137)(26, 138)(27, 143)(28, 144)(29, 141)(30, 142)(31, 150)(32, 165)(33, 148)(34, 147)(35, 151)(36, 145)(37, 149)(38, 153)(39, 152)(40, 155)(41, 154)(42, 157)(43, 156)(44, 159)(45, 158)(46, 161)(47, 160)(48, 163)(49, 162)(50, 169)(51, 146)(52, 167)(53, 166)(54, 170)(55, 164)(56, 168)(57, 172)(58, 171)(59, 174)(60, 173)(61, 176)(62, 175)(63, 178)(64, 177)(65, 180)(66, 179)(67, 182)(68, 181)(69, 189)(70, 204)(71, 207)(72, 187)(73, 186)(74, 190)(75, 183)(76, 188)(77, 192)(78, 191)(79, 194)(80, 193)(81, 196)(82, 195)(83, 198)(84, 197)(85, 200)(86, 199)(87, 202)(88, 201)(89, 212)(90, 184)(91, 223)(92, 216)(93, 185)(94, 217)(95, 210)(96, 209)(97, 213)(98, 203)(99, 211)(100, 215)(101, 214)(102, 206)(103, 208)(104, 219)(105, 218)(106, 221)(107, 220)(108, 227)(109, 205)(110, 228)(111, 226)(112, 225)(113, 222)(114, 224)
	local type(s) :: { ( 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114 ) }
Outer automorphisms :: reflexible
Dual of E28.2469
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 114 f = 58
	degree seq :: [ 114^2 ]

E28.2471 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 57, 114})
Quotient :: loop
Aut^+ = C114 (small group id <114, 6>)
Aut   = D228 (small group id <228, 14>)
|r| :: 2
Presentation :: [ F^2, T2^-2 * T1^-2, (F * T2)^2, (F * T1)^2, (T2^-1 * T1^-1)^2, T2^-2 * T1^26 * T2^-1 * T1 * T2^-27, T2^-2 * T1^55, T2^25 * T1^24 * T2^-1 * T1^27 * T2^-1 * T1^27 * T2^-1 * T1 ]
Map::
	R = (1, 115, 3, 117, 9, 123, 13, 127, 17, 131, 21, 135, 25, 139, 29, 143, 33, 147, 40, 154, 39, 153, 35, 149, 37, 151, 43, 157, 45, 159, 47, 161, 49, 163, 51, 165, 53, 167, 57, 171, 64, 178, 63, 177, 59, 173, 61, 175, 67, 181, 69, 183, 71, 185, 73, 187, 75, 189, 77, 191, 83, 197, 90, 204, 89, 203, 85, 199, 87, 201, 93, 207, 95, 209, 81, 195, 97, 211, 99, 213, 101, 215, 105, 219, 112, 226, 111, 225, 107, 221, 109, 223, 103, 217, 80, 194, 55, 169, 32, 146, 27, 141, 24, 138, 19, 133, 16, 130, 11, 125, 8, 122, 2, 116, 7, 121, 4, 118, 10, 124, 14, 128, 18, 132, 22, 136, 26, 140, 30, 144, 34, 148, 42, 156, 36, 150, 41, 155, 38, 152, 44, 158, 46, 160, 48, 162, 50, 164, 52, 166, 54, 168, 58, 172, 66, 180, 60, 174, 65, 179, 62, 176, 68, 182, 70, 184, 72, 186, 74, 188, 76, 190, 78, 192, 84, 198, 92, 206, 86, 200, 91, 205, 88, 202, 94, 208, 96, 210, 82, 196, 98, 212, 100, 214, 102, 216, 106, 220, 114, 228, 108, 222, 113, 227, 110, 224, 104, 218, 79, 193, 56, 170, 31, 145, 28, 142, 23, 137, 20, 134, 15, 129, 12, 126, 6, 120, 5, 119)
	L = (1, 116)(2, 120)(3, 121)(4, 115)(5, 122)(6, 125)(7, 119)(8, 126)(9, 118)(10, 117)(11, 129)(12, 130)(13, 124)(14, 123)(15, 133)(16, 134)(17, 128)(18, 127)(19, 137)(20, 138)(21, 132)(22, 131)(23, 141)(24, 142)(25, 136)(26, 135)(27, 145)(28, 146)(29, 140)(30, 139)(31, 169)(32, 170)(33, 144)(34, 143)(35, 150)(36, 154)(37, 155)(38, 149)(39, 156)(40, 148)(41, 153)(42, 147)(43, 152)(44, 151)(45, 158)(46, 157)(47, 160)(48, 159)(49, 162)(50, 161)(51, 164)(52, 163)(53, 166)(54, 165)(55, 193)(56, 194)(57, 168)(58, 167)(59, 174)(60, 178)(61, 179)(62, 173)(63, 180)(64, 172)(65, 177)(66, 171)(67, 176)(68, 175)(69, 182)(70, 181)(71, 184)(72, 183)(73, 186)(74, 185)(75, 188)(76, 187)(77, 190)(78, 189)(79, 217)(80, 218)(81, 210)(82, 209)(83, 192)(84, 191)(85, 200)(86, 204)(87, 205)(88, 199)(89, 206)(90, 198)(91, 203)(92, 197)(93, 202)(94, 201)(95, 208)(96, 207)(97, 196)(98, 195)(99, 212)(100, 211)(101, 214)(102, 213)(103, 224)(104, 223)(105, 216)(106, 215)(107, 222)(108, 226)(109, 227)(110, 221)(111, 228)(112, 220)(113, 225)(114, 219)
	local type(s) :: { ( 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57, 2, 57 ) }
Outer automorphisms :: reflexible
Dual of E28.2467
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 114 f = 59
	degree seq :: [ 228 ]

E28.2472 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 57, 114})
Quotient :: loop
Aut^+ = C114 (small group id <114, 6>)
Aut   = D228 (small group id <228, 14>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T2 * T1^-57 ]
Map:: non-degenerate
	R = (1, 115, 3, 117)(2, 116, 6, 120)(4, 118, 7, 121)(5, 119, 10, 124)(8, 122, 11, 125)(9, 123, 14, 128)(12, 126, 15, 129)(13, 127, 18, 132)(16, 130, 19, 133)(17, 131, 22, 136)(20, 134, 23, 137)(21, 135, 26, 140)(24, 138, 27, 141)(25, 139, 30, 144)(28, 142, 31, 145)(29, 143, 42, 156)(32, 146, 53, 167)(33, 147, 35, 149)(34, 148, 38, 152)(36, 150, 39, 153)(37, 151, 41, 155)(40, 154, 44, 158)(43, 157, 46, 160)(45, 159, 48, 162)(47, 161, 50, 164)(49, 163, 52, 166)(51, 165, 63, 177)(54, 168, 56, 170)(55, 169, 59, 173)(57, 171, 60, 174)(58, 172, 62, 176)(61, 175, 65, 179)(64, 178, 67, 181)(66, 180, 69, 183)(68, 182, 71, 185)(70, 184, 73, 187)(72, 186, 85, 199)(74, 188, 96, 210)(75, 189, 99, 213)(76, 190, 78, 192)(77, 191, 81, 195)(79, 193, 82, 196)(80, 194, 84, 198)(83, 197, 87, 201)(86, 200, 89, 203)(88, 202, 91, 205)(90, 204, 93, 207)(92, 206, 95, 209)(94, 208, 106, 220)(97, 211, 114, 228)(98, 212, 101, 215)(100, 214, 103, 217)(102, 216, 105, 219)(104, 218, 108, 222)(107, 221, 110, 224)(109, 223, 112, 226)(111, 225, 113, 227)
	L = (1, 116)(2, 119)(3, 120)(4, 115)(5, 123)(6, 124)(7, 117)(8, 118)(9, 127)(10, 128)(11, 121)(12, 122)(13, 131)(14, 132)(15, 125)(16, 126)(17, 135)(18, 136)(19, 129)(20, 130)(21, 139)(22, 140)(23, 133)(24, 134)(25, 143)(26, 144)(27, 137)(28, 138)(29, 150)(30, 156)(31, 141)(32, 142)(33, 148)(34, 151)(35, 152)(36, 147)(37, 154)(38, 155)(39, 149)(40, 157)(41, 158)(42, 153)(43, 159)(44, 160)(45, 161)(46, 162)(47, 163)(48, 164)(49, 165)(50, 166)(51, 171)(52, 177)(53, 145)(54, 169)(55, 172)(56, 173)(57, 168)(58, 175)(59, 176)(60, 170)(61, 178)(62, 179)(63, 174)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 193)(73, 199)(74, 167)(75, 212)(76, 191)(77, 194)(78, 195)(79, 190)(80, 197)(81, 198)(82, 192)(83, 200)(84, 201)(85, 196)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 189)(95, 220)(96, 146)(97, 188)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 221)(105, 222)(106, 213)(107, 223)(108, 224)(109, 225)(110, 226)(111, 211)(112, 227)(113, 228)(114, 210)
	local type(s) :: { ( 57, 114, 57, 114 ) }
Outer automorphisms :: reflexible
Dual of E28.2468
Transitivity :: ET+ VT+ AT
Graph::
	v = 57 e = 114 f = 3
	degree seq :: [ 4^57 ]

E28.2473 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 57, 114})
Quotient :: dipole
Aut^+ = C114 (small group id <114, 6>)
Aut   = D228 (small group id <228, 14>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y2^57, (Y3 * Y2^-1)^114 ]
Map::
	R = (1, 115, 2, 116)(3, 117, 5, 119)(4, 118, 6, 120)(7, 121, 9, 123)(8, 122, 10, 124)(11, 125, 13, 127)(12, 126, 14, 128)(15, 129, 17, 131)(16, 130, 18, 132)(19, 133, 21, 135)(20, 134, 22, 136)(23, 137, 25, 139)(24, 138, 26, 140)(27, 141, 29, 143)(28, 142, 30, 144)(31, 145, 36, 150)(32, 146, 51, 165)(33, 147, 34, 148)(35, 149, 37, 151)(38, 152, 39, 153)(40, 154, 41, 155)(42, 156, 43, 157)(44, 158, 45, 159)(46, 160, 47, 161)(48, 162, 49, 163)(50, 164, 55, 169)(52, 166, 53, 167)(54, 168, 56, 170)(57, 171, 58, 172)(59, 173, 60, 174)(61, 175, 62, 176)(63, 177, 64, 178)(65, 179, 66, 180)(67, 181, 68, 182)(69, 183, 75, 189)(70, 184, 90, 204)(71, 185, 93, 207)(72, 186, 73, 187)(74, 188, 76, 190)(77, 191, 78, 192)(79, 193, 80, 194)(81, 195, 82, 196)(83, 197, 84, 198)(85, 199, 86, 200)(87, 201, 88, 202)(89, 203, 98, 212)(91, 205, 109, 223)(92, 206, 102, 216)(94, 208, 103, 217)(95, 209, 96, 210)(97, 211, 99, 213)(100, 214, 101, 215)(104, 218, 105, 219)(106, 220, 107, 221)(108, 222, 113, 227)(110, 224, 114, 228)(111, 225, 112, 226)(229, 343, 231, 345, 235, 349, 239, 353, 243, 357, 247, 361, 251, 365, 255, 369, 259, 373, 262, 376, 265, 379, 267, 381, 269, 383, 271, 385, 273, 387, 275, 389, 277, 391, 283, 397, 280, 394, 282, 396, 285, 399, 287, 401, 289, 403, 291, 405, 293, 407, 295, 409, 297, 411, 301, 415, 304, 418, 306, 420, 308, 422, 310, 424, 312, 426, 314, 428, 316, 430, 326, 440, 323, 437, 325, 439, 328, 442, 320, 434, 299, 413, 322, 436, 332, 446, 334, 448, 336, 450, 340, 454, 342, 456, 337, 451, 318, 432, 260, 374, 256, 370, 252, 366, 248, 362, 244, 358, 240, 354, 236, 350, 232, 346)(230, 344, 233, 347, 237, 351, 241, 355, 245, 359, 249, 363, 253, 367, 257, 371, 264, 378, 261, 375, 263, 377, 266, 380, 268, 382, 270, 384, 272, 386, 274, 388, 276, 390, 278, 392, 281, 395, 284, 398, 286, 400, 288, 402, 290, 404, 292, 406, 294, 408, 296, 410, 303, 417, 300, 414, 302, 416, 305, 419, 307, 421, 309, 423, 311, 425, 313, 427, 315, 429, 317, 431, 324, 438, 327, 441, 329, 443, 330, 444, 321, 435, 331, 445, 333, 447, 335, 449, 341, 455, 339, 453, 338, 452, 319, 433, 298, 412, 279, 393, 258, 372, 254, 368, 250, 364, 246, 360, 242, 356, 238, 352, 234, 348)
	L = (1, 230)(2, 229)(3, 233)(4, 234)(5, 231)(6, 232)(7, 237)(8, 238)(9, 235)(10, 236)(11, 241)(12, 242)(13, 239)(14, 240)(15, 245)(16, 246)(17, 243)(18, 244)(19, 249)(20, 250)(21, 247)(22, 248)(23, 253)(24, 254)(25, 251)(26, 252)(27, 257)(28, 258)(29, 255)(30, 256)(31, 264)(32, 279)(33, 262)(34, 261)(35, 265)(36, 259)(37, 263)(38, 267)(39, 266)(40, 269)(41, 268)(42, 271)(43, 270)(44, 273)(45, 272)(46, 275)(47, 274)(48, 277)(49, 276)(50, 283)(51, 260)(52, 281)(53, 280)(54, 284)(55, 278)(56, 282)(57, 286)(58, 285)(59, 288)(60, 287)(61, 290)(62, 289)(63, 292)(64, 291)(65, 294)(66, 293)(67, 296)(68, 295)(69, 303)(70, 318)(71, 321)(72, 301)(73, 300)(74, 304)(75, 297)(76, 302)(77, 306)(78, 305)(79, 308)(80, 307)(81, 310)(82, 309)(83, 312)(84, 311)(85, 314)(86, 313)(87, 316)(88, 315)(89, 326)(90, 298)(91, 337)(92, 330)(93, 299)(94, 331)(95, 324)(96, 323)(97, 327)(98, 317)(99, 325)(100, 329)(101, 328)(102, 320)(103, 322)(104, 333)(105, 332)(106, 335)(107, 334)(108, 341)(109, 319)(110, 342)(111, 340)(112, 339)(113, 336)(114, 338)(115, 343)(116, 344)(117, 345)(118, 346)(119, 347)(120, 348)(121, 349)(122, 350)(123, 351)(124, 352)(125, 353)(126, 354)(127, 355)(128, 356)(129, 357)(130, 358)(131, 359)(132, 360)(133, 361)(134, 362)(135, 363)(136, 364)(137, 365)(138, 366)(139, 367)(140, 368)(141, 369)(142, 370)(143, 371)(144, 372)(145, 373)(146, 374)(147, 375)(148, 376)(149, 377)(150, 378)(151, 379)(152, 380)(153, 381)(154, 382)(155, 383)(156, 384)(157, 385)(158, 386)(159, 387)(160, 388)(161, 389)(162, 390)(163, 391)(164, 392)(165, 393)(166, 394)(167, 395)(168, 396)(169, 397)(170, 398)(171, 399)(172, 400)(173, 401)(174, 402)(175, 403)(176, 404)(177, 405)(178, 406)(179, 407)(180, 408)(181, 409)(182, 410)(183, 411)(184, 412)(185, 413)(186, 414)(187, 415)(188, 416)(189, 417)(190, 418)(191, 419)(192, 420)(193, 421)(194, 422)(195, 423)(196, 424)(197, 425)(198, 426)(199, 427)(200, 428)(201, 429)(202, 430)(203, 431)(204, 432)(205, 433)(206, 434)(207, 435)(208, 436)(209, 437)(210, 438)(211, 439)(212, 440)(213, 441)(214, 442)(215, 443)(216, 444)(217, 445)(218, 446)(219, 447)(220, 448)(221, 449)(222, 450)(223, 451)(224, 452)(225, 453)(226, 454)(227, 455)(228, 456)
	local type(s) :: { ( 2, 228, 2, 228 ), ( 2, 228, 2, 228, 2, 228, 2, 228, 2, 228, 2, 228, 2, 228, 2, 228, 2, 228, 2, 228, 2, 228, 2, 228, 2, 228, 2, 228, 2, 228, 2, 228, 2, 228, 2, 228, 2, 228, 2, 228, 2, 228, 2, 228, 2, 228, 2, 228, 2, 228, 2, 228, 2, 228, 2, 228, 2, 228, 2, 228, 2, 228, 2, 228, 2, 228, 2, 228, 2, 228, 2, 228, 2, 228, 2, 228, 2, 228, 2, 228, 2, 228, 2, 228, 2, 228, 2, 228, 2, 228, 2, 228, 2, 228, 2, 228, 2, 228, 2, 228, 2, 228, 2, 228, 2, 228, 2, 228, 2, 228, 2, 228, 2, 228 ) }
Outer automorphisms :: reflexible
Dual of E28.2476
Graph:: bipartite
	v = 59 e = 228 f = 115
	degree seq :: [ 4^57, 114^2 ]

E28.2474 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 57, 114})
Quotient :: dipole
Aut^+ = C114 (small group id <114, 6>)
Aut   = D228 (small group id <228, 14>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y2^2 * Y1^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y2^-1), (Y3^-1 * Y1^-1)^2, Y1^-28 * Y2^-28, Y1^-1 * Y2^56, Y1^57 ]
Map::
	R = (1, 115, 2, 116, 6, 120, 11, 125, 15, 129, 19, 133, 23, 137, 27, 141, 31, 145, 52, 166, 47, 161, 44, 158, 37, 151, 41, 155, 39, 153, 42, 156, 46, 160, 50, 164, 54, 168, 56, 170, 58, 172, 60, 174, 79, 193, 76, 190, 71, 185, 66, 180, 63, 177, 64, 178, 68, 182, 73, 187, 77, 191, 81, 195, 83, 197, 85, 199, 87, 201, 91, 205, 105, 219, 102, 216, 95, 209, 99, 213, 97, 211, 100, 214, 104, 218, 108, 222, 110, 224, 112, 226, 114, 228, 89, 203, 62, 176, 33, 147, 30, 144, 25, 139, 22, 136, 17, 131, 14, 128, 9, 123, 4, 118)(3, 117, 7, 121, 5, 119, 8, 122, 12, 126, 16, 130, 20, 134, 24, 138, 28, 142, 32, 146, 51, 165, 48, 162, 43, 157, 38, 152, 35, 149, 36, 150, 40, 154, 45, 159, 49, 163, 53, 167, 55, 169, 57, 171, 59, 173, 80, 194, 75, 189, 72, 186, 65, 179, 69, 183, 67, 181, 70, 184, 74, 188, 78, 192, 82, 196, 84, 198, 86, 200, 88, 202, 92, 206, 106, 220, 101, 215, 96, 210, 93, 207, 94, 208, 98, 212, 103, 217, 107, 221, 109, 223, 111, 225, 113, 227, 90, 204, 61, 175, 34, 148, 29, 143, 26, 140, 21, 135, 18, 132, 13, 127, 10, 124)(229, 343, 231, 345, 237, 351, 241, 355, 245, 359, 249, 363, 253, 367, 257, 371, 261, 375, 289, 403, 317, 431, 341, 455, 340, 454, 337, 451, 336, 450, 331, 445, 328, 442, 322, 436, 327, 441, 324, 438, 330, 444, 334, 448, 319, 433, 316, 430, 313, 427, 312, 426, 309, 423, 306, 420, 301, 415, 298, 412, 292, 406, 297, 411, 294, 408, 300, 414, 304, 418, 308, 422, 288, 402, 285, 399, 284, 398, 281, 395, 278, 392, 273, 387, 270, 384, 264, 378, 269, 383, 266, 380, 272, 386, 276, 390, 280, 394, 260, 374, 255, 369, 252, 366, 247, 361, 244, 358, 239, 353, 236, 350, 230, 344, 235, 349, 232, 346, 238, 352, 242, 356, 246, 360, 250, 364, 254, 368, 258, 372, 262, 376, 290, 404, 318, 432, 342, 456, 339, 453, 338, 452, 335, 449, 332, 446, 326, 440, 325, 439, 321, 435, 323, 437, 329, 443, 333, 447, 320, 434, 315, 429, 314, 428, 311, 425, 310, 424, 305, 419, 302, 416, 296, 410, 295, 409, 291, 405, 293, 407, 299, 413, 303, 417, 307, 421, 287, 401, 286, 400, 283, 397, 282, 396, 277, 391, 274, 388, 268, 382, 267, 381, 263, 377, 265, 379, 271, 385, 275, 389, 279, 393, 259, 373, 256, 370, 251, 365, 248, 362, 243, 357, 240, 354, 234, 348, 233, 347)
	L = (1, 231)(2, 235)(3, 237)(4, 238)(5, 229)(6, 233)(7, 232)(8, 230)(9, 241)(10, 242)(11, 236)(12, 234)(13, 245)(14, 246)(15, 240)(16, 239)(17, 249)(18, 250)(19, 244)(20, 243)(21, 253)(22, 254)(23, 248)(24, 247)(25, 257)(26, 258)(27, 252)(28, 251)(29, 261)(30, 262)(31, 256)(32, 255)(33, 289)(34, 290)(35, 265)(36, 269)(37, 271)(38, 272)(39, 263)(40, 267)(41, 266)(42, 264)(43, 275)(44, 276)(45, 270)(46, 268)(47, 279)(48, 280)(49, 274)(50, 273)(51, 259)(52, 260)(53, 278)(54, 277)(55, 282)(56, 281)(57, 284)(58, 283)(59, 286)(60, 285)(61, 317)(62, 318)(63, 293)(64, 297)(65, 299)(66, 300)(67, 291)(68, 295)(69, 294)(70, 292)(71, 303)(72, 304)(73, 298)(74, 296)(75, 307)(76, 308)(77, 302)(78, 301)(79, 287)(80, 288)(81, 306)(82, 305)(83, 310)(84, 309)(85, 312)(86, 311)(87, 314)(88, 313)(89, 341)(90, 342)(91, 316)(92, 315)(93, 323)(94, 327)(95, 329)(96, 330)(97, 321)(98, 325)(99, 324)(100, 322)(101, 333)(102, 334)(103, 328)(104, 326)(105, 320)(106, 319)(107, 332)(108, 331)(109, 336)(110, 335)(111, 338)(112, 337)(113, 340)(114, 339)(115, 343)(116, 344)(117, 345)(118, 346)(119, 347)(120, 348)(121, 349)(122, 350)(123, 351)(124, 352)(125, 353)(126, 354)(127, 355)(128, 356)(129, 357)(130, 358)(131, 359)(132, 360)(133, 361)(134, 362)(135, 363)(136, 364)(137, 365)(138, 366)(139, 367)(140, 368)(141, 369)(142, 370)(143, 371)(144, 372)(145, 373)(146, 374)(147, 375)(148, 376)(149, 377)(150, 378)(151, 379)(152, 380)(153, 381)(154, 382)(155, 383)(156, 384)(157, 385)(158, 386)(159, 387)(160, 388)(161, 389)(162, 390)(163, 391)(164, 392)(165, 393)(166, 394)(167, 395)(168, 396)(169, 397)(170, 398)(171, 399)(172, 400)(173, 401)(174, 402)(175, 403)(176, 404)(177, 405)(178, 406)(179, 407)(180, 408)(181, 409)(182, 410)(183, 411)(184, 412)(185, 413)(186, 414)(187, 415)(188, 416)(189, 417)(190, 418)(191, 419)(192, 420)(193, 421)(194, 422)(195, 423)(196, 424)(197, 425)(198, 426)(199, 427)(200, 428)(201, 429)(202, 430)(203, 431)(204, 432)(205, 433)(206, 434)(207, 435)(208, 436)(209, 437)(210, 438)(211, 439)(212, 440)(213, 441)(214, 442)(215, 443)(216, 444)(217, 445)(218, 446)(219, 447)(220, 448)(221, 449)(222, 450)(223, 451)(224, 452)(225, 453)(226, 454)(227, 455)(228, 456)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.2475
Graph:: bipartite
	v = 3 e = 228 f = 171
	degree seq :: [ 114^2, 228 ]

E28.2475 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 57, 114})
Quotient :: dipole
Aut^+ = C114 (small group id <114, 6>)
Aut   = D228 (small group id <228, 14>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y2 * Y3^-1 * Y2, Y3^57 * Y2, (Y3^-1 * Y1^-1)^114 ]
Map::
	R = (1, 115)(2, 116)(3, 117)(4, 118)(5, 119)(6, 120)(7, 121)(8, 122)(9, 123)(10, 124)(11, 125)(12, 126)(13, 127)(14, 128)(15, 129)(16, 130)(17, 131)(18, 132)(19, 133)(20, 134)(21, 135)(22, 136)(23, 137)(24, 138)(25, 139)(26, 140)(27, 141)(28, 142)(29, 143)(30, 144)(31, 145)(32, 146)(33, 147)(34, 148)(35, 149)(36, 150)(37, 151)(38, 152)(39, 153)(40, 154)(41, 155)(42, 156)(43, 157)(44, 158)(45, 159)(46, 160)(47, 161)(48, 162)(49, 163)(50, 164)(51, 165)(52, 166)(53, 167)(54, 168)(55, 169)(56, 170)(57, 171)(58, 172)(59, 173)(60, 174)(61, 175)(62, 176)(63, 177)(64, 178)(65, 179)(66, 180)(67, 181)(68, 182)(69, 183)(70, 184)(71, 185)(72, 186)(73, 187)(74, 188)(75, 189)(76, 190)(77, 191)(78, 192)(79, 193)(80, 194)(81, 195)(82, 196)(83, 197)(84, 198)(85, 199)(86, 200)(87, 201)(88, 202)(89, 203)(90, 204)(91, 205)(92, 206)(93, 207)(94, 208)(95, 209)(96, 210)(97, 211)(98, 212)(99, 213)(100, 214)(101, 215)(102, 216)(103, 217)(104, 218)(105, 219)(106, 220)(107, 221)(108, 222)(109, 223)(110, 224)(111, 225)(112, 226)(113, 227)(114, 228)(229, 343, 230, 344)(231, 345, 233, 347)(232, 346, 234, 348)(235, 349, 237, 351)(236, 350, 238, 352)(239, 353, 241, 355)(240, 354, 242, 356)(243, 357, 245, 359)(244, 358, 246, 360)(247, 361, 249, 363)(248, 362, 250, 364)(251, 365, 253, 367)(252, 366, 254, 368)(255, 369, 257, 371)(256, 370, 258, 372)(259, 373, 261, 375)(260, 374, 277, 391)(262, 376, 263, 377)(264, 378, 265, 379)(266, 380, 267, 381)(268, 382, 269, 383)(270, 384, 271, 385)(272, 386, 273, 387)(274, 388, 275, 389)(276, 390, 278, 392)(279, 393, 280, 394)(281, 395, 282, 396)(283, 397, 284, 398)(285, 399, 286, 400)(287, 401, 288, 402)(289, 403, 290, 404)(291, 405, 292, 406)(293, 407, 296, 410)(294, 408, 312, 426)(295, 409, 315, 429)(297, 411, 298, 412)(299, 413, 300, 414)(301, 415, 302, 416)(303, 417, 304, 418)(305, 419, 306, 420)(307, 421, 308, 422)(309, 423, 310, 424)(311, 425, 318, 432)(313, 427, 333, 447)(314, 428, 332, 446)(316, 430, 335, 449)(317, 431, 319, 433)(320, 434, 321, 435)(322, 436, 323, 437)(324, 438, 325, 439)(326, 440, 327, 441)(328, 442, 329, 443)(330, 444, 331, 445)(334, 448, 342, 456)(336, 450, 337, 451)(338, 452, 339, 453)(340, 454, 341, 455)
	L = (1, 231)(2, 233)(3, 235)(4, 229)(5, 237)(6, 230)(7, 239)(8, 232)(9, 241)(10, 234)(11, 243)(12, 236)(13, 245)(14, 238)(15, 247)(16, 240)(17, 249)(18, 242)(19, 251)(20, 244)(21, 253)(22, 246)(23, 255)(24, 248)(25, 257)(26, 250)(27, 259)(28, 252)(29, 261)(30, 254)(31, 263)(32, 256)(33, 262)(34, 264)(35, 265)(36, 266)(37, 267)(38, 268)(39, 269)(40, 270)(41, 271)(42, 272)(43, 273)(44, 274)(45, 275)(46, 276)(47, 278)(48, 280)(49, 258)(50, 279)(51, 281)(52, 282)(53, 283)(54, 284)(55, 285)(56, 286)(57, 287)(58, 288)(59, 289)(60, 290)(61, 291)(62, 292)(63, 293)(64, 296)(65, 298)(66, 277)(67, 316)(68, 297)(69, 299)(70, 300)(71, 301)(72, 302)(73, 303)(74, 304)(75, 305)(76, 306)(77, 307)(78, 308)(79, 309)(80, 310)(81, 311)(82, 318)(83, 319)(84, 260)(85, 294)(86, 295)(87, 335)(88, 336)(89, 320)(90, 317)(91, 321)(92, 322)(93, 323)(94, 324)(95, 325)(96, 326)(97, 327)(98, 328)(99, 329)(100, 330)(101, 331)(102, 332)(103, 314)(104, 315)(105, 312)(106, 313)(107, 337)(108, 338)(109, 339)(110, 340)(111, 341)(112, 342)(113, 334)(114, 333)(115, 343)(116, 344)(117, 345)(118, 346)(119, 347)(120, 348)(121, 349)(122, 350)(123, 351)(124, 352)(125, 353)(126, 354)(127, 355)(128, 356)(129, 357)(130, 358)(131, 359)(132, 360)(133, 361)(134, 362)(135, 363)(136, 364)(137, 365)(138, 366)(139, 367)(140, 368)(141, 369)(142, 370)(143, 371)(144, 372)(145, 373)(146, 374)(147, 375)(148, 376)(149, 377)(150, 378)(151, 379)(152, 380)(153, 381)(154, 382)(155, 383)(156, 384)(157, 385)(158, 386)(159, 387)(160, 388)(161, 389)(162, 390)(163, 391)(164, 392)(165, 393)(166, 394)(167, 395)(168, 396)(169, 397)(170, 398)(171, 399)(172, 400)(173, 401)(174, 402)(175, 403)(176, 404)(177, 405)(178, 406)(179, 407)(180, 408)(181, 409)(182, 410)(183, 411)(184, 412)(185, 413)(186, 414)(187, 415)(188, 416)(189, 417)(190, 418)(191, 419)(192, 420)(193, 421)(194, 422)(195, 423)(196, 424)(197, 425)(198, 426)(199, 427)(200, 428)(201, 429)(202, 430)(203, 431)(204, 432)(205, 433)(206, 434)(207, 435)(208, 436)(209, 437)(210, 438)(211, 439)(212, 440)(213, 441)(214, 442)(215, 443)(216, 444)(217, 445)(218, 446)(219, 447)(220, 448)(221, 449)(222, 450)(223, 451)(224, 452)(225, 453)(226, 454)(227, 455)(228, 456)
	local type(s) :: { ( 114, 228 ), ( 114, 228, 114, 228 ) }
Outer automorphisms :: reflexible
Dual of E28.2474
Graph:: simple bipartite
	v = 171 e = 228 f = 3
	degree seq :: [ 2^114, 4^57 ]

E28.2476 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 57, 114})
Quotient :: dipole
Aut^+ = C114 (small group id <114, 6>)
Aut   = D228 (small group id <228, 14>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, Y3 * Y1 * Y3 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, Y3 * Y1^-57 ]
Map::
	R = (1, 115, 2, 116, 5, 119, 9, 123, 13, 127, 17, 131, 21, 135, 25, 139, 29, 143, 40, 154, 36, 150, 33, 147, 34, 148, 37, 151, 41, 155, 44, 158, 47, 161, 49, 163, 51, 165, 53, 167, 63, 177, 59, 173, 56, 170, 57, 171, 60, 174, 64, 178, 67, 181, 70, 184, 72, 186, 74, 188, 76, 190, 87, 201, 83, 197, 80, 194, 81, 195, 84, 198, 88, 202, 91, 205, 79, 193, 95, 209, 97, 211, 99, 213, 110, 224, 106, 220, 103, 217, 104, 218, 107, 221, 102, 216, 78, 192, 55, 169, 31, 145, 27, 141, 23, 137, 19, 133, 15, 129, 11, 125, 7, 121, 3, 117, 6, 120, 10, 124, 14, 128, 18, 132, 22, 136, 26, 140, 30, 144, 46, 160, 43, 157, 39, 153, 35, 149, 38, 152, 42, 156, 45, 159, 48, 162, 50, 164, 52, 166, 54, 168, 69, 183, 66, 180, 62, 176, 58, 172, 61, 175, 65, 179, 68, 182, 71, 185, 73, 187, 75, 189, 77, 191, 93, 207, 90, 204, 86, 200, 82, 196, 85, 199, 89, 203, 92, 206, 94, 208, 96, 210, 98, 212, 100, 214, 114, 228, 112, 226, 109, 223, 105, 219, 108, 222, 111, 225, 113, 227, 101, 215, 32, 146, 28, 142, 24, 138, 20, 134, 16, 130, 12, 126, 8, 122, 4, 118)(229, 343)(230, 344)(231, 345)(232, 346)(233, 347)(234, 348)(235, 349)(236, 350)(237, 351)(238, 352)(239, 353)(240, 354)(241, 355)(242, 356)(243, 357)(244, 358)(245, 359)(246, 360)(247, 361)(248, 362)(249, 363)(250, 364)(251, 365)(252, 366)(253, 367)(254, 368)(255, 369)(256, 370)(257, 371)(258, 372)(259, 373)(260, 374)(261, 375)(262, 376)(263, 377)(264, 378)(265, 379)(266, 380)(267, 381)(268, 382)(269, 383)(270, 384)(271, 385)(272, 386)(273, 387)(274, 388)(275, 389)(276, 390)(277, 391)(278, 392)(279, 393)(280, 394)(281, 395)(282, 396)(283, 397)(284, 398)(285, 399)(286, 400)(287, 401)(288, 402)(289, 403)(290, 404)(291, 405)(292, 406)(293, 407)(294, 408)(295, 409)(296, 410)(297, 411)(298, 412)(299, 413)(300, 414)(301, 415)(302, 416)(303, 417)(304, 418)(305, 419)(306, 420)(307, 421)(308, 422)(309, 423)(310, 424)(311, 425)(312, 426)(313, 427)(314, 428)(315, 429)(316, 430)(317, 431)(318, 432)(319, 433)(320, 434)(321, 435)(322, 436)(323, 437)(324, 438)(325, 439)(326, 440)(327, 441)(328, 442)(329, 443)(330, 444)(331, 445)(332, 446)(333, 447)(334, 448)(335, 449)(336, 450)(337, 451)(338, 452)(339, 453)(340, 454)(341, 455)(342, 456)
	L = (1, 231)(2, 234)(3, 229)(4, 235)(5, 238)(6, 230)(7, 232)(8, 239)(9, 242)(10, 233)(11, 236)(12, 243)(13, 246)(14, 237)(15, 240)(16, 247)(17, 250)(18, 241)(19, 244)(20, 251)(21, 254)(22, 245)(23, 248)(24, 255)(25, 258)(26, 249)(27, 252)(28, 259)(29, 274)(30, 253)(31, 256)(32, 283)(33, 263)(34, 266)(35, 261)(36, 267)(37, 270)(38, 262)(39, 264)(40, 271)(41, 273)(42, 265)(43, 268)(44, 276)(45, 269)(46, 257)(47, 278)(48, 272)(49, 280)(50, 275)(51, 282)(52, 277)(53, 297)(54, 279)(55, 260)(56, 286)(57, 289)(58, 284)(59, 290)(60, 293)(61, 285)(62, 287)(63, 294)(64, 296)(65, 288)(66, 291)(67, 299)(68, 292)(69, 281)(70, 301)(71, 295)(72, 303)(73, 298)(74, 305)(75, 300)(76, 321)(77, 302)(78, 329)(79, 324)(80, 310)(81, 313)(82, 308)(83, 314)(84, 317)(85, 309)(86, 311)(87, 318)(88, 320)(89, 312)(90, 315)(91, 322)(92, 316)(93, 304)(94, 319)(95, 326)(96, 307)(97, 328)(98, 323)(99, 342)(100, 325)(101, 306)(102, 341)(103, 333)(104, 336)(105, 331)(106, 337)(107, 339)(108, 332)(109, 334)(110, 340)(111, 335)(112, 338)(113, 330)(114, 327)(115, 343)(116, 344)(117, 345)(118, 346)(119, 347)(120, 348)(121, 349)(122, 350)(123, 351)(124, 352)(125, 353)(126, 354)(127, 355)(128, 356)(129, 357)(130, 358)(131, 359)(132, 360)(133, 361)(134, 362)(135, 363)(136, 364)(137, 365)(138, 366)(139, 367)(140, 368)(141, 369)(142, 370)(143, 371)(144, 372)(145, 373)(146, 374)(147, 375)(148, 376)(149, 377)(150, 378)(151, 379)(152, 380)(153, 381)(154, 382)(155, 383)(156, 384)(157, 385)(158, 386)(159, 387)(160, 388)(161, 389)(162, 390)(163, 391)(164, 392)(165, 393)(166, 394)(167, 395)(168, 396)(169, 397)(170, 398)(171, 399)(172, 400)(173, 401)(174, 402)(175, 403)(176, 404)(177, 405)(178, 406)(179, 407)(180, 408)(181, 409)(182, 410)(183, 411)(184, 412)(185, 413)(186, 414)(187, 415)(188, 416)(189, 417)(190, 418)(191, 419)(192, 420)(193, 421)(194, 422)(195, 423)(196, 424)(197, 425)(198, 426)(199, 427)(200, 428)(201, 429)(202, 430)(203, 431)(204, 432)(205, 433)(206, 434)(207, 435)(208, 436)(209, 437)(210, 438)(211, 439)(212, 440)(213, 441)(214, 442)(215, 443)(216, 444)(217, 445)(218, 446)(219, 447)(220, 448)(221, 449)(222, 450)(223, 451)(224, 452)(225, 453)(226, 454)(227, 455)(228, 456)
	local type(s) :: { ( 4, 114 ), ( 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114, 4, 114 ) }
Outer automorphisms :: reflexible
Dual of E28.2473
Graph:: bipartite
	v = 115 e = 228 f = 59
	degree seq :: [ 2^114, 228 ]

E28.2477 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 57, 114})
Quotient :: dipole
Aut^+ = C114 (small group id <114, 6>)
Aut   = D228 (small group id <228, 14>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y2^57 * Y1, (Y3 * Y2^-1)^57 ]
Map::
	R = (1, 115, 2, 116)(3, 117, 5, 119)(4, 118, 6, 120)(7, 121, 9, 123)(8, 122, 10, 124)(11, 125, 13, 127)(12, 126, 14, 128)(15, 129, 17, 131)(16, 130, 18, 132)(19, 133, 21, 135)(20, 134, 22, 136)(23, 137, 25, 139)(24, 138, 26, 140)(27, 141, 29, 143)(28, 142, 30, 144)(31, 145, 33, 147)(32, 146, 49, 163)(34, 148, 35, 149)(36, 150, 37, 151)(38, 152, 39, 153)(40, 154, 41, 155)(42, 156, 43, 157)(44, 158, 45, 159)(46, 160, 47, 161)(48, 162, 50, 164)(51, 165, 52, 166)(53, 167, 54, 168)(55, 169, 56, 170)(57, 171, 58, 172)(59, 173, 60, 174)(61, 175, 62, 176)(63, 177, 64, 178)(65, 179, 68, 182)(66, 180, 84, 198)(67, 181, 87, 201)(69, 183, 70, 184)(71, 185, 72, 186)(73, 187, 74, 188)(75, 189, 76, 190)(77, 191, 78, 192)(79, 193, 80, 194)(81, 195, 82, 196)(83, 197, 90, 204)(85, 199, 105, 219)(86, 200, 104, 218)(88, 202, 107, 221)(89, 203, 91, 205)(92, 206, 93, 207)(94, 208, 95, 209)(96, 210, 97, 211)(98, 212, 99, 213)(100, 214, 101, 215)(102, 216, 103, 217)(106, 220, 114, 228)(108, 222, 109, 223)(110, 224, 111, 225)(112, 226, 113, 227)(229, 343, 231, 345, 235, 349, 239, 353, 243, 357, 247, 361, 251, 365, 255, 369, 259, 373, 263, 377, 265, 379, 267, 381, 269, 383, 271, 385, 273, 387, 275, 389, 278, 392, 279, 393, 281, 395, 283, 397, 285, 399, 287, 401, 289, 403, 291, 405, 293, 407, 298, 412, 300, 414, 302, 416, 304, 418, 306, 420, 308, 422, 310, 424, 318, 432, 317, 431, 320, 434, 322, 436, 324, 438, 326, 440, 328, 442, 330, 444, 332, 446, 315, 429, 335, 449, 337, 451, 339, 453, 341, 455, 334, 448, 313, 427, 294, 408, 277, 391, 258, 372, 254, 368, 250, 364, 246, 360, 242, 356, 238, 352, 234, 348, 230, 344, 233, 347, 237, 351, 241, 355, 245, 359, 249, 363, 253, 367, 257, 371, 261, 375, 262, 376, 264, 378, 266, 380, 268, 382, 270, 384, 272, 386, 274, 388, 276, 390, 280, 394, 282, 396, 284, 398, 286, 400, 288, 402, 290, 404, 292, 406, 296, 410, 297, 411, 299, 413, 301, 415, 303, 417, 305, 419, 307, 421, 309, 423, 311, 425, 319, 433, 321, 435, 323, 437, 325, 439, 327, 441, 329, 443, 331, 445, 314, 428, 295, 409, 316, 430, 336, 450, 338, 452, 340, 454, 342, 456, 333, 447, 312, 426, 260, 374, 256, 370, 252, 366, 248, 362, 244, 358, 240, 354, 236, 350, 232, 346)
	L = (1, 230)(2, 229)(3, 233)(4, 234)(5, 231)(6, 232)(7, 237)(8, 238)(9, 235)(10, 236)(11, 241)(12, 242)(13, 239)(14, 240)(15, 245)(16, 246)(17, 243)(18, 244)(19, 249)(20, 250)(21, 247)(22, 248)(23, 253)(24, 254)(25, 251)(26, 252)(27, 257)(28, 258)(29, 255)(30, 256)(31, 261)(32, 277)(33, 259)(34, 263)(35, 262)(36, 265)(37, 264)(38, 267)(39, 266)(40, 269)(41, 268)(42, 271)(43, 270)(44, 273)(45, 272)(46, 275)(47, 274)(48, 278)(49, 260)(50, 276)(51, 280)(52, 279)(53, 282)(54, 281)(55, 284)(56, 283)(57, 286)(58, 285)(59, 288)(60, 287)(61, 290)(62, 289)(63, 292)(64, 291)(65, 296)(66, 312)(67, 315)(68, 293)(69, 298)(70, 297)(71, 300)(72, 299)(73, 302)(74, 301)(75, 304)(76, 303)(77, 306)(78, 305)(79, 308)(80, 307)(81, 310)(82, 309)(83, 318)(84, 294)(85, 333)(86, 332)(87, 295)(88, 335)(89, 319)(90, 311)(91, 317)(92, 321)(93, 320)(94, 323)(95, 322)(96, 325)(97, 324)(98, 327)(99, 326)(100, 329)(101, 328)(102, 331)(103, 330)(104, 314)(105, 313)(106, 342)(107, 316)(108, 337)(109, 336)(110, 339)(111, 338)(112, 341)(113, 340)(114, 334)(115, 343)(116, 344)(117, 345)(118, 346)(119, 347)(120, 348)(121, 349)(122, 350)(123, 351)(124, 352)(125, 353)(126, 354)(127, 355)(128, 356)(129, 357)(130, 358)(131, 359)(132, 360)(133, 361)(134, 362)(135, 363)(136, 364)(137, 365)(138, 366)(139, 367)(140, 368)(141, 369)(142, 370)(143, 371)(144, 372)(145, 373)(146, 374)(147, 375)(148, 376)(149, 377)(150, 378)(151, 379)(152, 380)(153, 381)(154, 382)(155, 383)(156, 384)(157, 385)(158, 386)(159, 387)(160, 388)(161, 389)(162, 390)(163, 391)(164, 392)(165, 393)(166, 394)(167, 395)(168, 396)(169, 397)(170, 398)(171, 399)(172, 400)(173, 401)(174, 402)(175, 403)(176, 404)(177, 405)(178, 406)(179, 407)(180, 408)(181, 409)(182, 410)(183, 411)(184, 412)(185, 413)(186, 414)(187, 415)(188, 416)(189, 417)(190, 418)(191, 419)(192, 420)(193, 421)(194, 422)(195, 423)(196, 424)(197, 425)(198, 426)(199, 427)(200, 428)(201, 429)(202, 430)(203, 431)(204, 432)(205, 433)(206, 434)(207, 435)(208, 436)(209, 437)(210, 438)(211, 439)(212, 440)(213, 441)(214, 442)(215, 443)(216, 444)(217, 445)(218, 446)(219, 447)(220, 448)(221, 449)(222, 450)(223, 451)(224, 452)(225, 453)(226, 454)(227, 455)(228, 456)
	local type(s) :: { ( 2, 114, 2, 114 ), ( 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114 ) }
Outer automorphisms :: reflexible
Dual of E28.2478
Graph:: bipartite
	v = 58 e = 228 f = 116
	degree seq :: [ 4^57, 228 ]

E28.2478 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 57, 114})
Quotient :: dipole
Aut^+ = C114 (small group id <114, 6>)
Aut   = D228 (small group id <228, 14>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^-1 * Y3^-2 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (Y3, Y1^-1), (R * Y2 * Y3^-1)^2, Y3^-2 * Y1^26 * Y3^-1 * Y1 * Y3^-27, Y3^-2 * Y1^55, (Y3 * Y2^-1)^114 ]
Map::
	R = (1, 115, 2, 116, 6, 120, 11, 125, 15, 129, 19, 133, 23, 137, 27, 141, 31, 145, 52, 166, 47, 161, 44, 158, 37, 151, 41, 155, 39, 153, 42, 156, 46, 160, 50, 164, 54, 168, 56, 170, 58, 172, 60, 174, 79, 193, 76, 190, 71, 185, 66, 180, 63, 177, 64, 178, 68, 182, 73, 187, 77, 191, 81, 195, 83, 197, 85, 199, 87, 201, 91, 205, 105, 219, 102, 216, 95, 209, 99, 213, 97, 211, 100, 214, 104, 218, 108, 222, 110, 224, 112, 226, 114, 228, 89, 203, 62, 176, 33, 147, 30, 144, 25, 139, 22, 136, 17, 131, 14, 128, 9, 123, 4, 118)(3, 117, 7, 121, 5, 119, 8, 122, 12, 126, 16, 130, 20, 134, 24, 138, 28, 142, 32, 146, 51, 165, 48, 162, 43, 157, 38, 152, 35, 149, 36, 150, 40, 154, 45, 159, 49, 163, 53, 167, 55, 169, 57, 171, 59, 173, 80, 194, 75, 189, 72, 186, 65, 179, 69, 183, 67, 181, 70, 184, 74, 188, 78, 192, 82, 196, 84, 198, 86, 200, 88, 202, 92, 206, 106, 220, 101, 215, 96, 210, 93, 207, 94, 208, 98, 212, 103, 217, 107, 221, 109, 223, 111, 225, 113, 227, 90, 204, 61, 175, 34, 148, 29, 143, 26, 140, 21, 135, 18, 132, 13, 127, 10, 124)(229, 343)(230, 344)(231, 345)(232, 346)(233, 347)(234, 348)(235, 349)(236, 350)(237, 351)(238, 352)(239, 353)(240, 354)(241, 355)(242, 356)(243, 357)(244, 358)(245, 359)(246, 360)(247, 361)(248, 362)(249, 363)(250, 364)(251, 365)(252, 366)(253, 367)(254, 368)(255, 369)(256, 370)(257, 371)(258, 372)(259, 373)(260, 374)(261, 375)(262, 376)(263, 377)(264, 378)(265, 379)(266, 380)(267, 381)(268, 382)(269, 383)(270, 384)(271, 385)(272, 386)(273, 387)(274, 388)(275, 389)(276, 390)(277, 391)(278, 392)(279, 393)(280, 394)(281, 395)(282, 396)(283, 397)(284, 398)(285, 399)(286, 400)(287, 401)(288, 402)(289, 403)(290, 404)(291, 405)(292, 406)(293, 407)(294, 408)(295, 409)(296, 410)(297, 411)(298, 412)(299, 413)(300, 414)(301, 415)(302, 416)(303, 417)(304, 418)(305, 419)(306, 420)(307, 421)(308, 422)(309, 423)(310, 424)(311, 425)(312, 426)(313, 427)(314, 428)(315, 429)(316, 430)(317, 431)(318, 432)(319, 433)(320, 434)(321, 435)(322, 436)(323, 437)(324, 438)(325, 439)(326, 440)(327, 441)(328, 442)(329, 443)(330, 444)(331, 445)(332, 446)(333, 447)(334, 448)(335, 449)(336, 450)(337, 451)(338, 452)(339, 453)(340, 454)(341, 455)(342, 456)
	L = (1, 231)(2, 235)(3, 237)(4, 238)(5, 229)(6, 233)(7, 232)(8, 230)(9, 241)(10, 242)(11, 236)(12, 234)(13, 245)(14, 246)(15, 240)(16, 239)(17, 249)(18, 250)(19, 244)(20, 243)(21, 253)(22, 254)(23, 248)(24, 247)(25, 257)(26, 258)(27, 252)(28, 251)(29, 261)(30, 262)(31, 256)(32, 255)(33, 289)(34, 290)(35, 265)(36, 269)(37, 271)(38, 272)(39, 263)(40, 267)(41, 266)(42, 264)(43, 275)(44, 276)(45, 270)(46, 268)(47, 279)(48, 280)(49, 274)(50, 273)(51, 259)(52, 260)(53, 278)(54, 277)(55, 282)(56, 281)(57, 284)(58, 283)(59, 286)(60, 285)(61, 317)(62, 318)(63, 293)(64, 297)(65, 299)(66, 300)(67, 291)(68, 295)(69, 294)(70, 292)(71, 303)(72, 304)(73, 298)(74, 296)(75, 307)(76, 308)(77, 302)(78, 301)(79, 287)(80, 288)(81, 306)(82, 305)(83, 310)(84, 309)(85, 312)(86, 311)(87, 314)(88, 313)(89, 341)(90, 342)(91, 316)(92, 315)(93, 323)(94, 327)(95, 329)(96, 330)(97, 321)(98, 325)(99, 324)(100, 322)(101, 333)(102, 334)(103, 328)(104, 326)(105, 320)(106, 319)(107, 332)(108, 331)(109, 336)(110, 335)(111, 338)(112, 337)(113, 340)(114, 339)(115, 343)(116, 344)(117, 345)(118, 346)(119, 347)(120, 348)(121, 349)(122, 350)(123, 351)(124, 352)(125, 353)(126, 354)(127, 355)(128, 356)(129, 357)(130, 358)(131, 359)(132, 360)(133, 361)(134, 362)(135, 363)(136, 364)(137, 365)(138, 366)(139, 367)(140, 368)(141, 369)(142, 370)(143, 371)(144, 372)(145, 373)(146, 374)(147, 375)(148, 376)(149, 377)(150, 378)(151, 379)(152, 380)(153, 381)(154, 382)(155, 383)(156, 384)(157, 385)(158, 386)(159, 387)(160, 388)(161, 389)(162, 390)(163, 391)(164, 392)(165, 393)(166, 394)(167, 395)(168, 396)(169, 397)(170, 398)(171, 399)(172, 400)(173, 401)(174, 402)(175, 403)(176, 404)(177, 405)(178, 406)(179, 407)(180, 408)(181, 409)(182, 410)(183, 411)(184, 412)(185, 413)(186, 414)(187, 415)(188, 416)(189, 417)(190, 418)(191, 419)(192, 420)(193, 421)(194, 422)(195, 423)(196, 424)(197, 425)(198, 426)(199, 427)(200, 428)(201, 429)(202, 430)(203, 431)(204, 432)(205, 433)(206, 434)(207, 435)(208, 436)(209, 437)(210, 438)(211, 439)(212, 440)(213, 441)(214, 442)(215, 443)(216, 444)(217, 445)(218, 446)(219, 447)(220, 448)(221, 449)(222, 450)(223, 451)(224, 452)(225, 453)(226, 454)(227, 455)(228, 456)
	local type(s) :: { ( 4, 228 ), ( 4, 228, 4, 228, 4, 228, 4, 228, 4, 228, 4, 228, 4, 228, 4, 228, 4, 228, 4, 228, 4, 228, 4, 228, 4, 228, 4, 228, 4, 228, 4, 228, 4, 228, 4, 228, 4, 228, 4, 228, 4, 228, 4, 228, 4, 228, 4, 228, 4, 228, 4, 228, 4, 228, 4, 228, 4, 228, 4, 228, 4, 228, 4, 228, 4, 228, 4, 228, 4, 228, 4, 228, 4, 228, 4, 228, 4, 228, 4, 228, 4, 228, 4, 228, 4, 228, 4, 228, 4, 228, 4, 228, 4, 228, 4, 228, 4, 228, 4, 228, 4, 228, 4, 228, 4, 228, 4, 228, 4, 228, 4, 228, 4, 228 ) }
Outer automorphisms :: reflexible
Dual of E28.2477
Graph:: simple bipartite
	v = 116 e = 228 f = 58
	degree seq :: [ 2^114, 114^2 ]

E28.2479 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 29})
Quotient :: dipole
Aut^+ = D116 (small group id <116, 4>)
Aut   = C2 x C2 x D58 (small group id <232, 13>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (Y2 * Y1)^2, (R * Y1)^2, (Y3 * Y1)^29 ]
Map:: polytopal non-degenerate
	R = (1, 117, 2, 118)(3, 119, 5, 121)(4, 120, 8, 124)(6, 122, 10, 126)(7, 123, 11, 127)(9, 125, 13, 129)(12, 128, 16, 132)(14, 130, 18, 134)(15, 131, 19, 135)(17, 133, 21, 137)(20, 136, 24, 140)(22, 138, 26, 142)(23, 139, 27, 143)(25, 141, 29, 145)(28, 144, 32, 148)(30, 146, 51, 167)(31, 147, 53, 169)(33, 149, 55, 171)(34, 150, 58, 174)(35, 151, 60, 176)(36, 152, 62, 178)(37, 153, 64, 180)(38, 154, 66, 182)(39, 155, 68, 184)(40, 156, 56, 172)(41, 157, 71, 187)(42, 158, 73, 189)(43, 159, 75, 191)(44, 160, 77, 193)(45, 161, 79, 195)(46, 162, 81, 197)(47, 163, 83, 199)(48, 164, 85, 201)(49, 165, 87, 203)(50, 166, 89, 205)(52, 168, 91, 207)(54, 170, 93, 209)(57, 173, 95, 211)(59, 175, 98, 214)(61, 177, 100, 216)(63, 179, 102, 218)(65, 181, 104, 220)(67, 183, 106, 222)(69, 185, 108, 224)(70, 186, 96, 212)(72, 188, 111, 227)(74, 190, 113, 229)(76, 192, 115, 231)(78, 194, 116, 232)(80, 196, 114, 230)(82, 198, 112, 228)(84, 200, 109, 225)(86, 202, 107, 223)(88, 204, 103, 219)(90, 206, 101, 217)(92, 208, 105, 221)(94, 210, 97, 213)(99, 215, 110, 226)(233, 349, 235, 351)(234, 350, 237, 353)(236, 352, 239, 355)(238, 354, 241, 357)(240, 356, 243, 359)(242, 358, 245, 361)(244, 360, 247, 363)(246, 362, 249, 365)(248, 364, 251, 367)(250, 366, 253, 369)(252, 368, 255, 371)(254, 370, 257, 373)(256, 372, 259, 375)(258, 374, 261, 377)(260, 376, 263, 379)(262, 378, 272, 388)(264, 380, 285, 401)(265, 381, 267, 383)(266, 382, 269, 385)(268, 384, 271, 387)(270, 386, 273, 389)(274, 390, 276, 392)(275, 391, 277, 393)(278, 394, 280, 396)(279, 395, 281, 397)(282, 398, 286, 402)(283, 399, 288, 404)(284, 400, 302, 418)(287, 403, 292, 408)(289, 405, 293, 409)(290, 406, 296, 412)(291, 407, 297, 413)(294, 410, 300, 416)(295, 411, 301, 417)(298, 414, 303, 419)(299, 415, 304, 420)(305, 421, 309, 425)(306, 422, 310, 426)(307, 423, 311, 427)(308, 424, 312, 428)(313, 429, 317, 433)(314, 430, 318, 434)(315, 431, 319, 435)(316, 432, 320, 436)(321, 437, 325, 441)(322, 438, 326, 442)(323, 439, 328, 444)(324, 440, 342, 458)(327, 443, 332, 448)(329, 445, 333, 449)(330, 446, 336, 452)(331, 447, 337, 453)(334, 450, 340, 456)(335, 451, 341, 457)(338, 454, 343, 459)(339, 455, 344, 460)(345, 461, 348, 464)(346, 462, 347, 463)
	L = (1, 236)(2, 238)(3, 239)(4, 233)(5, 241)(6, 234)(7, 235)(8, 244)(9, 237)(10, 246)(11, 247)(12, 240)(13, 249)(14, 242)(15, 243)(16, 252)(17, 245)(18, 254)(19, 255)(20, 248)(21, 257)(22, 250)(23, 251)(24, 260)(25, 253)(26, 262)(27, 263)(28, 256)(29, 272)(30, 258)(31, 259)(32, 269)(33, 288)(34, 285)(35, 283)(36, 290)(37, 264)(38, 287)(39, 296)(40, 261)(41, 292)(42, 294)(43, 298)(44, 300)(45, 303)(46, 305)(47, 307)(48, 309)(49, 311)(50, 313)(51, 267)(52, 315)(53, 266)(54, 317)(55, 270)(56, 265)(57, 328)(58, 268)(59, 325)(60, 273)(61, 323)(62, 274)(63, 330)(64, 271)(65, 321)(66, 275)(67, 327)(68, 276)(69, 336)(70, 319)(71, 277)(72, 332)(73, 278)(74, 334)(75, 279)(76, 338)(77, 280)(78, 340)(79, 281)(80, 343)(81, 282)(82, 345)(83, 284)(84, 347)(85, 286)(86, 348)(87, 302)(88, 346)(89, 297)(90, 344)(91, 293)(92, 341)(93, 291)(94, 339)(95, 299)(96, 289)(97, 331)(98, 295)(99, 329)(100, 304)(101, 337)(102, 306)(103, 342)(104, 301)(105, 333)(106, 308)(107, 326)(108, 310)(109, 324)(110, 335)(111, 312)(112, 322)(113, 314)(114, 320)(115, 316)(116, 318)(117, 349)(118, 350)(119, 351)(120, 352)(121, 353)(122, 354)(123, 355)(124, 356)(125, 357)(126, 358)(127, 359)(128, 360)(129, 361)(130, 362)(131, 363)(132, 364)(133, 365)(134, 366)(135, 367)(136, 368)(137, 369)(138, 370)(139, 371)(140, 372)(141, 373)(142, 374)(143, 375)(144, 376)(145, 377)(146, 378)(147, 379)(148, 380)(149, 381)(150, 382)(151, 383)(152, 384)(153, 385)(154, 386)(155, 387)(156, 388)(157, 389)(158, 390)(159, 391)(160, 392)(161, 393)(162, 394)(163, 395)(164, 396)(165, 397)(166, 398)(167, 399)(168, 400)(169, 401)(170, 402)(171, 403)(172, 404)(173, 405)(174, 406)(175, 407)(176, 408)(177, 409)(178, 410)(179, 411)(180, 412)(181, 413)(182, 414)(183, 415)(184, 416)(185, 417)(186, 418)(187, 419)(188, 420)(189, 421)(190, 422)(191, 423)(192, 424)(193, 425)(194, 426)(195, 427)(196, 428)(197, 429)(198, 430)(199, 431)(200, 432)(201, 433)(202, 434)(203, 435)(204, 436)(205, 437)(206, 438)(207, 439)(208, 440)(209, 441)(210, 442)(211, 443)(212, 444)(213, 445)(214, 446)(215, 447)(216, 448)(217, 449)(218, 450)(219, 451)(220, 452)(221, 453)(222, 454)(223, 455)(224, 456)(225, 457)(226, 458)(227, 459)(228, 460)(229, 461)(230, 462)(231, 463)(232, 464)
	local type(s) :: { ( 4, 58, 4, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.2480
Graph:: simple bipartite
	v = 116 e = 232 f = 62
	degree seq :: [ 4^116 ]

E28.2480 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 29})
Quotient :: dipole
Aut^+ = D116 (small group id <116, 4>)
Aut   = C2 x C2 x D58 (small group id <232, 13>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (Y1^-1 * Y2)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, (R * Y1)^2, (Y3 * Y2)^2, Y1^29 ]
Map:: polytopal non-degenerate
	R = (1, 117, 2, 118, 6, 122, 13, 129, 21, 137, 29, 145, 37, 153, 45, 161, 53, 169, 61, 177, 69, 185, 77, 193, 85, 201, 93, 209, 101, 217, 108, 224, 100, 216, 92, 208, 84, 200, 76, 192, 68, 184, 60, 176, 52, 168, 44, 160, 36, 152, 28, 144, 20, 136, 12, 128, 5, 121)(3, 119, 9, 125, 17, 133, 25, 141, 33, 149, 41, 157, 49, 165, 57, 173, 65, 181, 73, 189, 81, 197, 89, 205, 97, 213, 105, 221, 112, 228, 109, 225, 102, 218, 94, 210, 86, 202, 78, 194, 70, 186, 62, 178, 54, 170, 46, 162, 38, 154, 30, 146, 22, 138, 14, 130, 7, 123)(4, 120, 11, 127, 19, 135, 27, 143, 35, 151, 43, 159, 51, 167, 59, 175, 67, 183, 75, 191, 83, 199, 91, 207, 99, 215, 107, 223, 114, 230, 110, 226, 103, 219, 95, 211, 87, 203, 79, 195, 71, 187, 63, 179, 55, 171, 47, 163, 39, 155, 31, 147, 23, 139, 15, 131, 8, 124)(10, 126, 16, 132, 24, 140, 32, 148, 40, 156, 48, 164, 56, 172, 64, 180, 72, 188, 80, 196, 88, 204, 96, 212, 104, 220, 111, 227, 115, 231, 116, 232, 113, 229, 106, 222, 98, 214, 90, 206, 82, 198, 74, 190, 66, 182, 58, 174, 50, 166, 42, 158, 34, 150, 26, 142, 18, 134)(233, 349, 235, 351)(234, 350, 239, 355)(236, 352, 242, 358)(237, 353, 241, 357)(238, 354, 246, 362)(240, 356, 248, 364)(243, 359, 250, 366)(244, 360, 249, 365)(245, 361, 254, 370)(247, 363, 256, 372)(251, 367, 258, 374)(252, 368, 257, 373)(253, 369, 262, 378)(255, 371, 264, 380)(259, 375, 266, 382)(260, 376, 265, 381)(261, 377, 270, 386)(263, 379, 272, 388)(267, 383, 274, 390)(268, 384, 273, 389)(269, 385, 278, 394)(271, 387, 280, 396)(275, 391, 282, 398)(276, 392, 281, 397)(277, 393, 286, 402)(279, 395, 288, 404)(283, 399, 290, 406)(284, 400, 289, 405)(285, 401, 294, 410)(287, 403, 296, 412)(291, 407, 298, 414)(292, 408, 297, 413)(293, 409, 302, 418)(295, 411, 304, 420)(299, 415, 306, 422)(300, 416, 305, 421)(301, 417, 310, 426)(303, 419, 312, 428)(307, 423, 314, 430)(308, 424, 313, 429)(309, 425, 318, 434)(311, 427, 320, 436)(315, 431, 322, 438)(316, 432, 321, 437)(317, 433, 326, 442)(319, 435, 328, 444)(323, 439, 330, 446)(324, 440, 329, 445)(325, 441, 334, 450)(327, 443, 336, 452)(331, 447, 338, 454)(332, 448, 337, 453)(333, 449, 341, 457)(335, 451, 343, 459)(339, 455, 345, 461)(340, 456, 344, 460)(342, 458, 347, 463)(346, 462, 348, 464)
	L = (1, 236)(2, 240)(3, 242)(4, 233)(5, 243)(6, 247)(7, 248)(8, 234)(9, 250)(10, 235)(11, 237)(12, 251)(13, 255)(14, 256)(15, 238)(16, 239)(17, 258)(18, 241)(19, 244)(20, 259)(21, 263)(22, 264)(23, 245)(24, 246)(25, 266)(26, 249)(27, 252)(28, 267)(29, 271)(30, 272)(31, 253)(32, 254)(33, 274)(34, 257)(35, 260)(36, 275)(37, 279)(38, 280)(39, 261)(40, 262)(41, 282)(42, 265)(43, 268)(44, 283)(45, 287)(46, 288)(47, 269)(48, 270)(49, 290)(50, 273)(51, 276)(52, 291)(53, 295)(54, 296)(55, 277)(56, 278)(57, 298)(58, 281)(59, 284)(60, 299)(61, 303)(62, 304)(63, 285)(64, 286)(65, 306)(66, 289)(67, 292)(68, 307)(69, 311)(70, 312)(71, 293)(72, 294)(73, 314)(74, 297)(75, 300)(76, 315)(77, 319)(78, 320)(79, 301)(80, 302)(81, 322)(82, 305)(83, 308)(84, 323)(85, 327)(86, 328)(87, 309)(88, 310)(89, 330)(90, 313)(91, 316)(92, 331)(93, 335)(94, 336)(95, 317)(96, 318)(97, 338)(98, 321)(99, 324)(100, 339)(101, 342)(102, 343)(103, 325)(104, 326)(105, 345)(106, 329)(107, 332)(108, 346)(109, 347)(110, 333)(111, 334)(112, 348)(113, 337)(114, 340)(115, 341)(116, 344)(117, 349)(118, 350)(119, 351)(120, 352)(121, 353)(122, 354)(123, 355)(124, 356)(125, 357)(126, 358)(127, 359)(128, 360)(129, 361)(130, 362)(131, 363)(132, 364)(133, 365)(134, 366)(135, 367)(136, 368)(137, 369)(138, 370)(139, 371)(140, 372)(141, 373)(142, 374)(143, 375)(144, 376)(145, 377)(146, 378)(147, 379)(148, 380)(149, 381)(150, 382)(151, 383)(152, 384)(153, 385)(154, 386)(155, 387)(156, 388)(157, 389)(158, 390)(159, 391)(160, 392)(161, 393)(162, 394)(163, 395)(164, 396)(165, 397)(166, 398)(167, 399)(168, 400)(169, 401)(170, 402)(171, 403)(172, 404)(173, 405)(174, 406)(175, 407)(176, 408)(177, 409)(178, 410)(179, 411)(180, 412)(181, 413)(182, 414)(183, 415)(184, 416)(185, 417)(186, 418)(187, 419)(188, 420)(189, 421)(190, 422)(191, 423)(192, 424)(193, 425)(194, 426)(195, 427)(196, 428)(197, 429)(198, 430)(199, 431)(200, 432)(201, 433)(202, 434)(203, 435)(204, 436)(205, 437)(206, 438)(207, 439)(208, 440)(209, 441)(210, 442)(211, 443)(212, 444)(213, 445)(214, 446)(215, 447)(216, 448)(217, 449)(218, 450)(219, 451)(220, 452)(221, 453)(222, 454)(223, 455)(224, 456)(225, 457)(226, 458)(227, 459)(228, 460)(229, 461)(230, 462)(231, 463)(232, 464)
	local type(s) :: { ( 4^4 ), ( 4^58 ) }
Outer automorphisms :: reflexible
Dual of E28.2479
Graph:: simple bipartite
	v = 62 e = 232 f = 116
	degree seq :: [ 4^58, 58^4 ]

E28.2481 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 29})
Quotient :: edge
Aut^+ = C29 : C4 (small group id <116, 1>)
Aut   = (C58 x C2) : C2 (small group id <232, 8>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^-1 * T2^-1 * T1 * T2^-1, T1^4, T2^29 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 25, 33, 41, 49, 57, 65, 73, 81, 89, 97, 105, 108, 100, 92, 84, 76, 68, 60, 52, 44, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 47, 55, 63, 71, 79, 87, 95, 103, 111, 112, 104, 96, 88, 80, 72, 64, 56, 48, 40, 32, 24, 16, 8)(4, 11, 19, 27, 35, 43, 51, 59, 67, 75, 83, 91, 99, 107, 114, 113, 106, 98, 90, 82, 74, 66, 58, 50, 42, 34, 26, 18, 10)(6, 13, 21, 29, 37, 45, 53, 61, 69, 77, 85, 93, 101, 109, 115, 116, 110, 102, 94, 86, 78, 70, 62, 54, 46, 38, 30, 22, 14)(117, 118, 122, 120)(119, 124, 129, 126)(121, 123, 130, 127)(125, 132, 137, 134)(128, 131, 138, 135)(133, 140, 145, 142)(136, 139, 146, 143)(141, 148, 153, 150)(144, 147, 154, 151)(149, 156, 161, 158)(152, 155, 162, 159)(157, 164, 169, 166)(160, 163, 170, 167)(165, 172, 177, 174)(168, 171, 178, 175)(173, 180, 185, 182)(176, 179, 186, 183)(181, 188, 193, 190)(184, 187, 194, 191)(189, 196, 201, 198)(192, 195, 202, 199)(197, 204, 209, 206)(200, 203, 210, 207)(205, 212, 217, 214)(208, 211, 218, 215)(213, 220, 225, 222)(216, 219, 226, 223)(221, 228, 231, 229)(224, 227, 232, 230)
	L = (1, 117)(2, 118)(3, 119)(4, 120)(5, 121)(6, 122)(7, 123)(8, 124)(9, 125)(10, 126)(11, 127)(12, 128)(13, 129)(14, 130)(15, 131)(16, 132)(17, 133)(18, 134)(19, 135)(20, 136)(21, 137)(22, 138)(23, 139)(24, 140)(25, 141)(26, 142)(27, 143)(28, 144)(29, 145)(30, 146)(31, 147)(32, 148)(33, 149)(34, 150)(35, 151)(36, 152)(37, 153)(38, 154)(39, 155)(40, 156)(41, 157)(42, 158)(43, 159)(44, 160)(45, 161)(46, 162)(47, 163)(48, 164)(49, 165)(50, 166)(51, 167)(52, 168)(53, 169)(54, 170)(55, 171)(56, 172)(57, 173)(58, 174)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 8^4 ), ( 8^29 ) }
Outer automorphisms :: reflexible
Dual of E28.2482
Transitivity :: ET+
Graph:: simple bipartite
	v = 33 e = 116 f = 29
	degree seq :: [ 4^29, 29^4 ]

E28.2482 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 29})
Quotient :: loop
Aut^+ = C29 : C4 (small group id <116, 1>)
Aut   = (C58 x C2) : C2 (small group id <232, 8>)
|r| :: 2
Presentation :: [ F^2, T1^-1 * T2^-2 * T1^-1, T2^-2 * T1^2, (F * T2)^2, (F * T1)^2, T2^4, (T2 * T1)^29 ]
Map:: non-degenerate
	R = (1, 117, 3, 119, 6, 122, 5, 121)(2, 118, 7, 123, 4, 120, 8, 124)(9, 125, 13, 129, 10, 126, 14, 130)(11, 127, 15, 131, 12, 128, 16, 132)(17, 133, 21, 137, 18, 134, 22, 138)(19, 135, 23, 139, 20, 136, 24, 140)(25, 141, 29, 145, 26, 142, 30, 146)(27, 143, 31, 147, 28, 144, 32, 148)(33, 149, 38, 154, 34, 150, 35, 151)(36, 152, 51, 167, 37, 153, 52, 168)(39, 155, 56, 172, 40, 156, 55, 171)(41, 157, 58, 174, 42, 158, 57, 173)(43, 159, 60, 176, 44, 160, 59, 175)(45, 161, 62, 178, 46, 162, 61, 177)(47, 163, 64, 180, 48, 164, 63, 179)(49, 165, 66, 182, 50, 166, 65, 181)(53, 169, 68, 184, 54, 170, 67, 183)(69, 185, 71, 187, 70, 186, 72, 188)(73, 189, 76, 192, 74, 190, 75, 191)(77, 193, 91, 207, 78, 194, 92, 208)(79, 195, 96, 212, 80, 196, 95, 211)(81, 197, 98, 214, 82, 198, 97, 213)(83, 199, 100, 216, 84, 200, 99, 215)(85, 201, 102, 218, 86, 202, 101, 217)(87, 203, 104, 220, 88, 204, 103, 219)(89, 205, 106, 222, 90, 206, 105, 221)(93, 209, 108, 224, 94, 210, 107, 223)(109, 225, 111, 227, 110, 226, 112, 228)(113, 229, 116, 232, 114, 230, 115, 231)
	L = (1, 118)(2, 122)(3, 125)(4, 117)(5, 126)(6, 120)(7, 127)(8, 128)(9, 121)(10, 119)(11, 124)(12, 123)(13, 133)(14, 134)(15, 135)(16, 136)(17, 130)(18, 129)(19, 132)(20, 131)(21, 141)(22, 142)(23, 143)(24, 144)(25, 138)(26, 137)(27, 140)(28, 139)(29, 149)(30, 150)(31, 167)(32, 168)(33, 146)(34, 145)(35, 171)(36, 173)(37, 174)(38, 172)(39, 175)(40, 176)(41, 177)(42, 178)(43, 179)(44, 180)(45, 181)(46, 182)(47, 183)(48, 184)(49, 185)(50, 186)(51, 148)(52, 147)(53, 189)(54, 190)(55, 154)(56, 151)(57, 153)(58, 152)(59, 156)(60, 155)(61, 158)(62, 157)(63, 160)(64, 159)(65, 162)(66, 161)(67, 164)(68, 163)(69, 166)(70, 165)(71, 207)(72, 208)(73, 170)(74, 169)(75, 211)(76, 212)(77, 213)(78, 214)(79, 215)(80, 216)(81, 217)(82, 218)(83, 219)(84, 220)(85, 221)(86, 222)(87, 223)(88, 224)(89, 225)(90, 226)(91, 188)(92, 187)(93, 229)(94, 230)(95, 192)(96, 191)(97, 194)(98, 193)(99, 196)(100, 195)(101, 198)(102, 197)(103, 200)(104, 199)(105, 202)(106, 201)(107, 204)(108, 203)(109, 206)(110, 205)(111, 231)(112, 232)(113, 210)(114, 209)(115, 228)(116, 227)
	local type(s) :: { ( 4, 29, 4, 29, 4, 29, 4, 29 ) }
Outer automorphisms :: reflexible
Dual of E28.2481
Transitivity :: ET+ VT+ AT
Graph::
	v = 29 e = 116 f = 33
	degree seq :: [ 8^29 ]

E28.2483 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 29})
Quotient :: dipole
Aut^+ = C29 : C4 (small group id <116, 1>)
Aut   = (C58 x C2) : C2 (small group id <232, 8>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, R * Y2 * R * Y3, (R * Y1)^2, Y1^4, Y1^-1 * Y2^-1 * Y1 * Y2^-1, (Y3^-1 * Y1^-1)^4, Y2^29 ]
Map::
	R = (1, 117, 2, 118, 6, 122, 4, 120)(3, 119, 8, 124, 13, 129, 10, 126)(5, 121, 7, 123, 14, 130, 11, 127)(9, 125, 16, 132, 21, 137, 18, 134)(12, 128, 15, 131, 22, 138, 19, 135)(17, 133, 24, 140, 29, 145, 26, 142)(20, 136, 23, 139, 30, 146, 27, 143)(25, 141, 32, 148, 37, 153, 34, 150)(28, 144, 31, 147, 38, 154, 35, 151)(33, 149, 40, 156, 45, 161, 42, 158)(36, 152, 39, 155, 46, 162, 43, 159)(41, 157, 48, 164, 53, 169, 50, 166)(44, 160, 47, 163, 54, 170, 51, 167)(49, 165, 56, 172, 61, 177, 58, 174)(52, 168, 55, 171, 62, 178, 59, 175)(57, 173, 64, 180, 69, 185, 66, 182)(60, 176, 63, 179, 70, 186, 67, 183)(65, 181, 72, 188, 77, 193, 74, 190)(68, 184, 71, 187, 78, 194, 75, 191)(73, 189, 80, 196, 85, 201, 82, 198)(76, 192, 79, 195, 86, 202, 83, 199)(81, 197, 88, 204, 93, 209, 90, 206)(84, 200, 87, 203, 94, 210, 91, 207)(89, 205, 96, 212, 101, 217, 98, 214)(92, 208, 95, 211, 102, 218, 99, 215)(97, 213, 104, 220, 109, 225, 106, 222)(100, 216, 103, 219, 110, 226, 107, 223)(105, 221, 112, 228, 115, 231, 113, 229)(108, 224, 111, 227, 116, 232, 114, 230)(233, 349, 235, 351, 241, 357, 249, 365, 257, 373, 265, 381, 273, 389, 281, 397, 289, 405, 297, 413, 305, 421, 313, 429, 321, 437, 329, 445, 337, 453, 340, 456, 332, 448, 324, 440, 316, 432, 308, 424, 300, 416, 292, 408, 284, 400, 276, 392, 268, 384, 260, 376, 252, 368, 244, 360, 237, 353)(234, 350, 239, 355, 247, 363, 255, 371, 263, 379, 271, 387, 279, 395, 287, 403, 295, 411, 303, 419, 311, 427, 319, 435, 327, 443, 335, 451, 343, 459, 344, 460, 336, 452, 328, 444, 320, 436, 312, 428, 304, 420, 296, 412, 288, 404, 280, 396, 272, 388, 264, 380, 256, 372, 248, 364, 240, 356)(236, 352, 243, 359, 251, 367, 259, 375, 267, 383, 275, 391, 283, 399, 291, 407, 299, 415, 307, 423, 315, 431, 323, 439, 331, 447, 339, 455, 346, 462, 345, 461, 338, 454, 330, 446, 322, 438, 314, 430, 306, 422, 298, 414, 290, 406, 282, 398, 274, 390, 266, 382, 258, 374, 250, 366, 242, 358)(238, 354, 245, 361, 253, 369, 261, 377, 269, 385, 277, 393, 285, 401, 293, 409, 301, 417, 309, 425, 317, 433, 325, 441, 333, 449, 341, 457, 347, 463, 348, 464, 342, 458, 334, 450, 326, 442, 318, 434, 310, 426, 302, 418, 294, 410, 286, 402, 278, 394, 270, 386, 262, 378, 254, 370, 246, 362)
	L = (1, 235)(2, 239)(3, 241)(4, 243)(5, 233)(6, 245)(7, 247)(8, 234)(9, 249)(10, 236)(11, 251)(12, 237)(13, 253)(14, 238)(15, 255)(16, 240)(17, 257)(18, 242)(19, 259)(20, 244)(21, 261)(22, 246)(23, 263)(24, 248)(25, 265)(26, 250)(27, 267)(28, 252)(29, 269)(30, 254)(31, 271)(32, 256)(33, 273)(34, 258)(35, 275)(36, 260)(37, 277)(38, 262)(39, 279)(40, 264)(41, 281)(42, 266)(43, 283)(44, 268)(45, 285)(46, 270)(47, 287)(48, 272)(49, 289)(50, 274)(51, 291)(52, 276)(53, 293)(54, 278)(55, 295)(56, 280)(57, 297)(58, 282)(59, 299)(60, 284)(61, 301)(62, 286)(63, 303)(64, 288)(65, 305)(66, 290)(67, 307)(68, 292)(69, 309)(70, 294)(71, 311)(72, 296)(73, 313)(74, 298)(75, 315)(76, 300)(77, 317)(78, 302)(79, 319)(80, 304)(81, 321)(82, 306)(83, 323)(84, 308)(85, 325)(86, 310)(87, 327)(88, 312)(89, 329)(90, 314)(91, 331)(92, 316)(93, 333)(94, 318)(95, 335)(96, 320)(97, 337)(98, 322)(99, 339)(100, 324)(101, 341)(102, 326)(103, 343)(104, 328)(105, 340)(106, 330)(107, 346)(108, 332)(109, 347)(110, 334)(111, 344)(112, 336)(113, 338)(114, 345)(115, 348)(116, 342)(117, 349)(118, 350)(119, 351)(120, 352)(121, 353)(122, 354)(123, 355)(124, 356)(125, 357)(126, 358)(127, 359)(128, 360)(129, 361)(130, 362)(131, 363)(132, 364)(133, 365)(134, 366)(135, 367)(136, 368)(137, 369)(138, 370)(139, 371)(140, 372)(141, 373)(142, 374)(143, 375)(144, 376)(145, 377)(146, 378)(147, 379)(148, 380)(149, 381)(150, 382)(151, 383)(152, 384)(153, 385)(154, 386)(155, 387)(156, 388)(157, 389)(158, 390)(159, 391)(160, 392)(161, 393)(162, 394)(163, 395)(164, 396)(165, 397)(166, 398)(167, 399)(168, 400)(169, 401)(170, 402)(171, 403)(172, 404)(173, 405)(174, 406)(175, 407)(176, 408)(177, 409)(178, 410)(179, 411)(180, 412)(181, 413)(182, 414)(183, 415)(184, 416)(185, 417)(186, 418)(187, 419)(188, 420)(189, 421)(190, 422)(191, 423)(192, 424)(193, 425)(194, 426)(195, 427)(196, 428)(197, 429)(198, 430)(199, 431)(200, 432)(201, 433)(202, 434)(203, 435)(204, 436)(205, 437)(206, 438)(207, 439)(208, 440)(209, 441)(210, 442)(211, 443)(212, 444)(213, 445)(214, 446)(215, 447)(216, 448)(217, 449)(218, 450)(219, 451)(220, 452)(221, 453)(222, 454)(223, 455)(224, 456)(225, 457)(226, 458)(227, 459)(228, 460)(229, 461)(230, 462)(231, 463)(232, 464)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.2484
Graph:: bipartite
	v = 33 e = 232 f = 145
	degree seq :: [ 8^29, 58^4 ]

E28.2484 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 29})
Quotient :: dipole
Aut^+ = C29 : C4 (small group id <116, 1>)
Aut   = (C58 x C2) : C2 (small group id <232, 8>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y2^4, Y2^-1 * Y3^-1 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^29 ]
Map::
	R = (1, 117)(2, 118)(3, 119)(4, 120)(5, 121)(6, 122)(7, 123)(8, 124)(9, 125)(10, 126)(11, 127)(12, 128)(13, 129)(14, 130)(15, 131)(16, 132)(17, 133)(18, 134)(19, 135)(20, 136)(21, 137)(22, 138)(23, 139)(24, 140)(25, 141)(26, 142)(27, 143)(28, 144)(29, 145)(30, 146)(31, 147)(32, 148)(33, 149)(34, 150)(35, 151)(36, 152)(37, 153)(38, 154)(39, 155)(40, 156)(41, 157)(42, 158)(43, 159)(44, 160)(45, 161)(46, 162)(47, 163)(48, 164)(49, 165)(50, 166)(51, 167)(52, 168)(53, 169)(54, 170)(55, 171)(56, 172)(57, 173)(58, 174)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)(233, 349, 234, 350, 238, 354, 236, 352)(235, 351, 240, 356, 245, 361, 242, 358)(237, 353, 239, 355, 246, 362, 243, 359)(241, 357, 248, 364, 253, 369, 250, 366)(244, 360, 247, 363, 254, 370, 251, 367)(249, 365, 256, 372, 261, 377, 258, 374)(252, 368, 255, 371, 262, 378, 259, 375)(257, 373, 264, 380, 269, 385, 266, 382)(260, 376, 263, 379, 270, 386, 267, 383)(265, 381, 272, 388, 277, 393, 274, 390)(268, 384, 271, 387, 278, 394, 275, 391)(273, 389, 280, 396, 285, 401, 282, 398)(276, 392, 279, 395, 286, 402, 283, 399)(281, 397, 288, 404, 293, 409, 290, 406)(284, 400, 287, 403, 294, 410, 291, 407)(289, 405, 296, 412, 301, 417, 298, 414)(292, 408, 295, 411, 302, 418, 299, 415)(297, 413, 304, 420, 309, 425, 306, 422)(300, 416, 303, 419, 310, 426, 307, 423)(305, 421, 312, 428, 317, 433, 314, 430)(308, 424, 311, 427, 318, 434, 315, 431)(313, 429, 320, 436, 325, 441, 322, 438)(316, 432, 319, 435, 326, 442, 323, 439)(321, 437, 328, 444, 333, 449, 330, 446)(324, 440, 327, 443, 334, 450, 331, 447)(329, 445, 336, 452, 341, 457, 338, 454)(332, 448, 335, 451, 342, 458, 339, 455)(337, 453, 344, 460, 347, 463, 345, 461)(340, 456, 343, 459, 348, 464, 346, 462)
	L = (1, 235)(2, 239)(3, 241)(4, 243)(5, 233)(6, 245)(7, 247)(8, 234)(9, 249)(10, 236)(11, 251)(12, 237)(13, 253)(14, 238)(15, 255)(16, 240)(17, 257)(18, 242)(19, 259)(20, 244)(21, 261)(22, 246)(23, 263)(24, 248)(25, 265)(26, 250)(27, 267)(28, 252)(29, 269)(30, 254)(31, 271)(32, 256)(33, 273)(34, 258)(35, 275)(36, 260)(37, 277)(38, 262)(39, 279)(40, 264)(41, 281)(42, 266)(43, 283)(44, 268)(45, 285)(46, 270)(47, 287)(48, 272)(49, 289)(50, 274)(51, 291)(52, 276)(53, 293)(54, 278)(55, 295)(56, 280)(57, 297)(58, 282)(59, 299)(60, 284)(61, 301)(62, 286)(63, 303)(64, 288)(65, 305)(66, 290)(67, 307)(68, 292)(69, 309)(70, 294)(71, 311)(72, 296)(73, 313)(74, 298)(75, 315)(76, 300)(77, 317)(78, 302)(79, 319)(80, 304)(81, 321)(82, 306)(83, 323)(84, 308)(85, 325)(86, 310)(87, 327)(88, 312)(89, 329)(90, 314)(91, 331)(92, 316)(93, 333)(94, 318)(95, 335)(96, 320)(97, 337)(98, 322)(99, 339)(100, 324)(101, 341)(102, 326)(103, 343)(104, 328)(105, 340)(106, 330)(107, 346)(108, 332)(109, 347)(110, 334)(111, 344)(112, 336)(113, 338)(114, 345)(115, 348)(116, 342)(117, 349)(118, 350)(119, 351)(120, 352)(121, 353)(122, 354)(123, 355)(124, 356)(125, 357)(126, 358)(127, 359)(128, 360)(129, 361)(130, 362)(131, 363)(132, 364)(133, 365)(134, 366)(135, 367)(136, 368)(137, 369)(138, 370)(139, 371)(140, 372)(141, 373)(142, 374)(143, 375)(144, 376)(145, 377)(146, 378)(147, 379)(148, 380)(149, 381)(150, 382)(151, 383)(152, 384)(153, 385)(154, 386)(155, 387)(156, 388)(157, 389)(158, 390)(159, 391)(160, 392)(161, 393)(162, 394)(163, 395)(164, 396)(165, 397)(166, 398)(167, 399)(168, 400)(169, 401)(170, 402)(171, 403)(172, 404)(173, 405)(174, 406)(175, 407)(176, 408)(177, 409)(178, 410)(179, 411)(180, 412)(181, 413)(182, 414)(183, 415)(184, 416)(185, 417)(186, 418)(187, 419)(188, 420)(189, 421)(190, 422)(191, 423)(192, 424)(193, 425)(194, 426)(195, 427)(196, 428)(197, 429)(198, 430)(199, 431)(200, 432)(201, 433)(202, 434)(203, 435)(204, 436)(205, 437)(206, 438)(207, 439)(208, 440)(209, 441)(210, 442)(211, 443)(212, 444)(213, 445)(214, 446)(215, 447)(216, 448)(217, 449)(218, 450)(219, 451)(220, 452)(221, 453)(222, 454)(223, 455)(224, 456)(225, 457)(226, 458)(227, 459)(228, 460)(229, 461)(230, 462)(231, 463)(232, 464)
	local type(s) :: { ( 8, 58 ), ( 8, 58, 8, 58, 8, 58, 8, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.2483
Graph:: simple bipartite
	v = 145 e = 232 f = 33
	degree seq :: [ 2^116, 8^29 ]

E28.2485 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {4, 4, 29})
Quotient :: edge
Aut^+ = C29 : C4 (small group id <116, 3>)
Aut   = C29 : C4 (small group id <116, 3>)
|r| :: 1
Presentation :: [ X1^4, (X1 * X2 * X1)^2, (X2^-1 * X1^-1)^4, X2 * X1 * X2^-1 * X1 * X2 * X1^-1 * X2 * X1^-1, X2^-2 * X1^-1 * X2^5 * X1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 6, 4)(3, 9, 18, 11)(5, 14, 17, 15)(7, 19, 13, 21)(8, 22, 12, 23)(10, 27, 42, 29)(16, 38, 41, 39)(20, 45, 33, 47)(24, 54, 32, 55)(25, 44, 31, 48)(26, 51, 30, 52)(28, 61, 82, 63)(34, 43, 37, 49)(35, 50, 36, 53)(40, 78, 81, 79)(46, 87, 69, 88)(56, 99, 68, 100)(57, 86, 67, 89)(58, 97, 66, 80)(59, 84, 65, 90)(60, 93, 64, 94)(62, 70, 85, 73)(71, 96, 72, 98)(74, 83, 77, 91)(75, 92, 76, 95)(101, 115, 104, 116)(102, 109, 103, 112)(105, 110, 106, 111)(107, 113, 108, 114)(117, 119, 126, 144, 178, 163, 205, 216, 232, 230, 211, 169, 139, 168, 210, 207, 165, 137, 164, 206, 228, 227, 204, 214, 171, 196, 156, 132, 121)(118, 123, 136, 162, 191, 154, 190, 177, 218, 217, 174, 142, 125, 141, 173, 187, 151, 130, 150, 186, 221, 223, 194, 176, 143, 175, 172, 140, 124)(120, 128, 148, 184, 181, 145, 180, 195, 224, 222, 189, 153, 131, 152, 188, 183, 147, 127, 146, 182, 220, 219, 179, 193, 155, 192, 185, 149, 129)(122, 133, 157, 197, 213, 170, 212, 203, 226, 225, 200, 160, 135, 159, 199, 209, 167, 138, 166, 208, 229, 231, 215, 202, 161, 201, 198, 158, 134)
	L = (1, 117)(2, 118)(3, 119)(4, 120)(5, 121)(6, 122)(7, 123)(8, 124)(9, 125)(10, 126)(11, 127)(12, 128)(13, 129)(14, 130)(15, 131)(16, 132)(17, 133)(18, 134)(19, 135)(20, 136)(21, 137)(22, 138)(23, 139)(24, 140)(25, 141)(26, 142)(27, 143)(28, 144)(29, 145)(30, 146)(31, 147)(32, 148)(33, 149)(34, 150)(35, 151)(36, 152)(37, 153)(38, 154)(39, 155)(40, 156)(41, 157)(42, 158)(43, 159)(44, 160)(45, 161)(46, 162)(47, 163)(48, 164)(49, 165)(50, 166)(51, 167)(52, 168)(53, 169)(54, 170)(55, 171)(56, 172)(57, 173)(58, 174)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 8^4 ), ( 8^29 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 33 e = 116 f = 29
	degree seq :: [ 4^29, 29^4 ]

E28.2486 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {4, 4, 29})
Quotient :: loop
Aut^+ = C29 : C4 (small group id <116, 3>)
Aut   = C29 : C4 (small group id <116, 3>)
|r| :: 1
Presentation :: [ (X1^-1 * X2)^2, X1^4, X2^4, X2^-1 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2^-2 * X1^-1 * X2^-1, X2^2 * X1^-2 * X2^-1 * X1^-1 * X2 * X1 * X2 * X1 * X2 * X1 * X2 * X1, X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2^2 * X1^-1 * X2^-1 * X1^-2 * X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2^-2 * X1^-1 * X2^-1 * X1^-2 * X2^-1 * X1 * X2 ]
Map:: polytopal non-degenerate
	R = (1, 117, 2, 118, 6, 122, 4, 120)(3, 119, 9, 125, 18, 134, 8, 124)(5, 121, 11, 127, 22, 138, 13, 129)(7, 123, 16, 132, 28, 144, 15, 131)(10, 126, 21, 137, 35, 151, 20, 136)(12, 128, 14, 130, 26, 142, 24, 140)(17, 133, 31, 147, 48, 164, 30, 146)(19, 135, 33, 149, 50, 166, 32, 148)(23, 139, 39, 155, 58, 174, 38, 154)(25, 141, 37, 153, 56, 172, 41, 157)(27, 143, 44, 160, 64, 180, 43, 159)(29, 145, 46, 162, 66, 182, 45, 161)(34, 150, 53, 169, 75, 191, 52, 168)(36, 152, 55, 171, 77, 193, 54, 170)(40, 156, 42, 158, 62, 178, 60, 176)(47, 163, 69, 185, 94, 210, 68, 184)(49, 165, 71, 187, 96, 212, 70, 186)(51, 167, 73, 189, 98, 214, 72, 188)(57, 173, 81, 197, 93, 209, 80, 196)(59, 175, 83, 199, 102, 218, 82, 198)(61, 177, 79, 195, 95, 211, 85, 201)(63, 179, 88, 204, 74, 190, 87, 203)(65, 181, 90, 206, 104, 220, 89, 205)(67, 183, 92, 208, 106, 222, 91, 207)(76, 192, 99, 215, 84, 200, 86, 202)(78, 194, 101, 217, 110, 226, 100, 216)(97, 213, 108, 224, 114, 230, 107, 223)(103, 219, 109, 225, 115, 231, 111, 227)(105, 221, 113, 229, 116, 232, 112, 228)
	L = (1, 119)(2, 123)(3, 126)(4, 127)(5, 117)(6, 130)(7, 133)(8, 118)(9, 135)(10, 121)(11, 139)(12, 120)(13, 137)(14, 143)(15, 122)(16, 145)(17, 124)(18, 147)(19, 150)(20, 125)(21, 152)(22, 153)(23, 128)(24, 155)(25, 129)(26, 158)(27, 131)(28, 160)(29, 163)(30, 132)(31, 165)(32, 134)(33, 167)(34, 136)(35, 169)(36, 141)(37, 173)(38, 138)(39, 175)(40, 140)(41, 171)(42, 179)(43, 142)(44, 181)(45, 144)(46, 183)(47, 146)(48, 185)(49, 148)(50, 187)(51, 190)(52, 149)(53, 192)(54, 151)(55, 194)(56, 195)(57, 154)(58, 197)(59, 156)(60, 199)(61, 157)(62, 202)(63, 159)(64, 204)(65, 161)(66, 206)(67, 209)(68, 162)(69, 211)(70, 164)(71, 213)(72, 166)(73, 205)(74, 168)(75, 203)(76, 170)(77, 215)(78, 177)(79, 210)(80, 172)(81, 208)(82, 174)(83, 219)(84, 176)(85, 217)(86, 191)(87, 178)(88, 189)(89, 180)(90, 221)(91, 182)(92, 198)(93, 184)(94, 196)(95, 186)(96, 201)(97, 188)(98, 224)(99, 225)(100, 193)(101, 223)(102, 222)(103, 200)(104, 214)(105, 207)(106, 229)(107, 212)(108, 228)(109, 216)(110, 231)(111, 218)(112, 220)(113, 227)(114, 226)(115, 232)(116, 230)
	local type(s) :: { ( 4, 29, 4, 29, 4, 29, 4, 29 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph::
	v = 29 e = 116 f = 33
	degree seq :: [ 8^29 ]

E28.2487 :: Family: { 2*ex } :: Oriented family(ies): { E3c }
Signature :: (0; {4, 4, 29})
Quotient :: loop
Aut^+ = C29 : C4 (small group id <116, 3>)
Aut   = C2 x (C29 : C4) (small group id <232, 12>)
|r| :: 2
Presentation :: [ F^2, F * T2 * F * T1, T1^4, (T2 * T1^-1)^2, T2^4, T1^2 * T2 * T1^-1 * T2^-2 * T1^-1 * T2, T2^2 * T1^-2 * T2^-1 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1, T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^2 * T1^-1 * T2^-1 * T1^-2 * T2^-1 * T1^-1 * T2^-2 * T1^-2 * T2^2 * T1^-2 * T2^-1 * T1 * T2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 5)(2, 7, 17, 8)(4, 11, 23, 12)(6, 14, 27, 15)(9, 19, 34, 20)(13, 21, 36, 25)(16, 29, 47, 30)(18, 31, 49, 32)(22, 37, 57, 38)(24, 39, 59, 40)(26, 42, 63, 43)(28, 44, 65, 45)(33, 51, 74, 52)(35, 53, 76, 54)(41, 55, 78, 61)(46, 67, 93, 68)(48, 69, 95, 70)(50, 71, 97, 72)(56, 79, 94, 80)(58, 81, 92, 82)(60, 83, 103, 84)(62, 86, 75, 87)(64, 88, 73, 89)(66, 90, 105, 91)(77, 99, 109, 100)(85, 101, 107, 96)(98, 108, 112, 104)(102, 106, 113, 111)(110, 115, 116, 114)(117, 118, 122, 120)(119, 125, 134, 124)(121, 127, 138, 129)(123, 132, 144, 131)(126, 137, 151, 136)(128, 130, 142, 140)(133, 147, 164, 146)(135, 149, 166, 148)(139, 155, 174, 154)(141, 153, 172, 157)(143, 160, 180, 159)(145, 162, 182, 161)(150, 169, 191, 168)(152, 171, 193, 170)(156, 158, 178, 176)(163, 185, 210, 184)(165, 187, 212, 186)(167, 189, 214, 188)(173, 197, 209, 196)(175, 199, 218, 198)(177, 195, 211, 201)(179, 204, 190, 203)(181, 206, 220, 205)(183, 208, 222, 207)(192, 215, 200, 202)(194, 217, 226, 216)(213, 224, 230, 223)(219, 225, 231, 227)(221, 229, 232, 228)
	L = (1, 117)(2, 118)(3, 119)(4, 120)(5, 121)(6, 122)(7, 123)(8, 124)(9, 125)(10, 126)(11, 127)(12, 128)(13, 129)(14, 130)(15, 131)(16, 132)(17, 133)(18, 134)(19, 135)(20, 136)(21, 137)(22, 138)(23, 139)(24, 140)(25, 141)(26, 142)(27, 143)(28, 144)(29, 145)(30, 146)(31, 147)(32, 148)(33, 149)(34, 150)(35, 151)(36, 152)(37, 153)(38, 154)(39, 155)(40, 156)(41, 157)(42, 158)(43, 159)(44, 160)(45, 161)(46, 162)(47, 163)(48, 164)(49, 165)(50, 166)(51, 167)(52, 168)(53, 169)(54, 170)(55, 171)(56, 172)(57, 173)(58, 174)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 58^4 ) }
Outer automorphisms :: reflexible
Dual of E28.2488
Transitivity :: ET+ VT AT
Graph:: simple bipartite
	v = 58 e = 116 f = 4
	degree seq :: [ 4^58 ]

E28.2488 :: Family: { 2ex } :: Oriented family(ies): { E3*c }
Signature :: (0; {4, 4, 29})
Quotient :: edge
Aut^+ = C29 : C4 (small group id <116, 3>)
Aut   = C2 x (C29 : C4) (small group id <232, 12>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, F * T1 * T2 * F * T1^-1, T2^-1 * T1^2 * T2^-1 * T1^-2, T2 * T1^2 * T2 * T1^-2, T2 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1, (T2^-1 * T1^-1)^4, T2^4 * T1^-1 * T2^2 * T1 * T2, T2 * T1 * T2^-2 * T1^2 * F * T1 * T2^-3 * F ]
Map:: polytopal non-degenerate
	R = (1, 117, 3, 119, 10, 126, 28, 144, 62, 178, 47, 163, 89, 205, 100, 216, 116, 232, 114, 230, 95, 211, 53, 169, 23, 139, 52, 168, 94, 210, 91, 207, 49, 165, 21, 137, 48, 164, 90, 206, 112, 228, 111, 227, 88, 204, 98, 214, 55, 171, 80, 196, 40, 156, 16, 132, 5, 121)(2, 118, 7, 123, 20, 136, 46, 162, 75, 191, 38, 154, 74, 190, 61, 177, 102, 218, 101, 217, 58, 174, 26, 142, 9, 125, 25, 141, 57, 173, 71, 187, 35, 151, 14, 130, 34, 150, 70, 186, 105, 221, 107, 223, 78, 194, 60, 176, 27, 143, 59, 175, 56, 172, 24, 140, 8, 124)(4, 120, 12, 128, 32, 148, 68, 184, 65, 181, 29, 145, 64, 180, 79, 195, 108, 224, 106, 222, 73, 189, 37, 153, 15, 131, 36, 152, 72, 188, 67, 183, 31, 147, 11, 127, 30, 146, 66, 182, 104, 220, 103, 219, 63, 179, 77, 193, 39, 155, 76, 192, 69, 185, 33, 149, 13, 129)(6, 122, 17, 133, 41, 157, 81, 197, 97, 213, 54, 170, 96, 212, 87, 203, 110, 226, 109, 225, 84, 200, 44, 160, 19, 135, 43, 159, 83, 199, 93, 209, 51, 167, 22, 138, 50, 166, 92, 208, 113, 229, 115, 231, 99, 215, 86, 202, 45, 161, 85, 201, 82, 198, 42, 158, 18, 134)
	L = (1, 118)(2, 122)(3, 125)(4, 117)(5, 130)(6, 120)(7, 135)(8, 138)(9, 134)(10, 143)(11, 119)(12, 139)(13, 137)(14, 133)(15, 121)(16, 154)(17, 131)(18, 127)(19, 129)(20, 161)(21, 123)(22, 128)(23, 124)(24, 170)(25, 160)(26, 167)(27, 158)(28, 177)(29, 126)(30, 168)(31, 164)(32, 171)(33, 163)(34, 159)(35, 166)(36, 169)(37, 165)(38, 157)(39, 132)(40, 194)(41, 155)(42, 145)(43, 153)(44, 147)(45, 149)(46, 203)(47, 136)(48, 141)(49, 150)(50, 152)(51, 146)(52, 142)(53, 151)(54, 148)(55, 140)(56, 215)(57, 202)(58, 213)(59, 200)(60, 209)(61, 198)(62, 186)(63, 144)(64, 210)(65, 206)(66, 196)(67, 205)(68, 216)(69, 204)(70, 201)(71, 212)(72, 214)(73, 178)(74, 199)(75, 208)(76, 211)(77, 207)(78, 197)(79, 156)(80, 174)(81, 195)(82, 179)(83, 193)(84, 181)(85, 189)(86, 183)(87, 185)(88, 162)(89, 173)(90, 175)(91, 190)(92, 192)(93, 180)(94, 176)(95, 191)(96, 188)(97, 182)(98, 187)(99, 184)(100, 172)(101, 231)(102, 225)(103, 228)(104, 232)(105, 226)(106, 227)(107, 229)(108, 230)(109, 219)(110, 222)(111, 221)(112, 218)(113, 224)(114, 223)(115, 220)(116, 217)
	local type(s) :: { ( 4^58 ) }
Outer automorphisms :: reflexible
Dual of E28.2487
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 4 e = 116 f = 58
	degree seq :: [ 58^4 ]

E28.2489 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 29})
Quotient :: edge^2
Aut^+ = C29 : C4 (small group id <116, 3>)
Aut   = C2 x (C29 : C4) (small group id <232, 12>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3 * Y1, Y1^4, Y2^4, Y1^4, (R * Y3)^2, R * Y1 * R * Y2, Y2^4, (Y1 * Y2^-1)^2, Y1 * Y3^2 * Y1^-2 * Y3 * Y2^-1, Y3 * Y2^-1 * Y1 * Y3^2 * Y1^-2, Y3^-2 * Y2^2 * Y3^-1 * Y1 * Y2^-1, Y3^2 * Y2 * Y3^-4 * Y1, Y3^2 * Y2 * Y1 * Y3^-2 * Y1^-1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 117, 4, 120, 16, 132, 43, 159, 66, 182, 38, 154, 78, 194, 98, 214, 113, 229, 108, 224, 72, 188, 34, 150, 21, 137, 48, 164, 90, 206, 65, 181, 29, 145, 12, 128, 36, 152, 76, 192, 109, 225, 105, 221, 80, 196, 74, 190, 53, 169, 95, 211, 63, 179, 27, 143, 7, 123)(2, 118, 9, 125, 30, 146, 67, 183, 102, 218, 60, 176, 92, 208, 45, 161, 91, 207, 100, 216, 55, 171, 23, 139, 6, 122, 22, 138, 54, 170, 99, 215, 57, 173, 24, 140, 56, 172, 87, 203, 112, 228, 114, 230, 96, 212, 50, 166, 18, 134, 49, 165, 75, 191, 35, 151, 11, 127)(3, 119, 5, 121, 20, 136, 52, 168, 84, 200, 42, 158, 44, 160, 89, 205, 103, 219, 115, 231, 101, 217, 58, 174, 25, 141, 26, 142, 59, 175, 83, 199, 41, 157, 15, 131, 17, 133, 47, 163, 94, 210, 111, 227, 85, 201, 86, 202, 61, 177, 62, 178, 82, 198, 40, 156, 14, 130)(8, 124, 28, 144, 64, 180, 104, 220, 97, 213, 73, 189, 81, 197, 68, 184, 107, 223, 77, 193, 37, 153, 13, 129, 10, 126, 32, 148, 70, 186, 93, 209, 51, 167, 33, 149, 71, 187, 106, 222, 116, 232, 110, 226, 79, 195, 39, 155, 31, 147, 69, 185, 88, 204, 46, 162, 19, 135)(233, 234, 240, 237)(235, 244, 241, 242)(236, 238, 251, 249)(239, 256, 260, 258)(243, 265, 252, 253)(245, 247, 268, 254)(246, 270, 262, 263)(248, 250, 278, 276)(255, 283, 279, 280)(257, 261, 288, 264)(259, 292, 296, 294)(266, 289, 303, 291)(267, 305, 284, 285)(269, 274, 308, 281)(271, 273, 310, 286)(272, 312, 299, 300)(275, 277, 320, 318)(282, 325, 321, 322)(287, 329, 326, 327)(290, 298, 319, 301)(293, 297, 324, 302)(295, 328, 336, 335)(304, 334, 338, 314)(306, 331, 313, 315)(307, 311, 316, 330)(309, 317, 341, 323)(332, 342, 343, 345)(333, 337, 344, 339)(340, 346, 348, 347)(349, 351, 361, 354)(350, 355, 373, 358)(352, 363, 385, 366)(353, 367, 371, 369)(356, 359, 382, 374)(357, 377, 406, 379)(360, 362, 387, 370)(364, 390, 425, 393)(365, 394, 398, 396)(368, 399, 403, 401)(372, 375, 409, 380)(376, 405, 420, 410)(378, 414, 449, 416)(381, 383, 422, 407)(384, 389, 427, 397)(386, 388, 429, 402)(391, 433, 455, 435)(392, 436, 440, 438)(395, 441, 444, 443)(400, 445, 448, 446)(404, 413, 434, 417)(408, 411, 437, 418)(412, 450, 456, 451)(415, 453, 463, 454)(419, 447, 428, 430)(421, 423, 426, 431)(424, 432, 458, 439)(442, 452, 462, 461)(457, 459, 464, 460)
	L = (1, 233)(2, 234)(3, 235)(4, 236)(5, 237)(6, 238)(7, 239)(8, 240)(9, 241)(10, 242)(11, 243)(12, 244)(13, 245)(14, 246)(15, 247)(16, 248)(17, 249)(18, 250)(19, 251)(20, 252)(21, 253)(22, 254)(23, 255)(24, 256)(25, 257)(26, 258)(27, 259)(28, 260)(29, 261)(30, 262)(31, 263)(32, 264)(33, 265)(34, 266)(35, 267)(36, 268)(37, 269)(38, 270)(39, 271)(40, 272)(41, 273)(42, 274)(43, 275)(44, 276)(45, 277)(46, 278)(47, 279)(48, 280)(49, 281)(50, 282)(51, 283)(52, 284)(53, 285)(54, 286)(55, 287)(56, 288)(57, 289)(58, 290)(59, 291)(60, 292)(61, 293)(62, 294)(63, 295)(64, 296)(65, 297)(66, 298)(67, 299)(68, 300)(69, 301)(70, 302)(71, 303)(72, 304)(73, 305)(74, 306)(75, 307)(76, 308)(77, 309)(78, 310)(79, 311)(80, 312)(81, 313)(82, 314)(83, 315)(84, 316)(85, 317)(86, 318)(87, 319)(88, 320)(89, 321)(90, 322)(91, 323)(92, 324)(93, 325)(94, 326)(95, 327)(96, 328)(97, 329)(98, 330)(99, 331)(100, 332)(101, 333)(102, 334)(103, 335)(104, 336)(105, 337)(106, 338)(107, 339)(108, 340)(109, 341)(110, 342)(111, 343)(112, 344)(113, 345)(114, 346)(115, 347)(116, 348)(117, 349)(118, 350)(119, 351)(120, 352)(121, 353)(122, 354)(123, 355)(124, 356)(125, 357)(126, 358)(127, 359)(128, 360)(129, 361)(130, 362)(131, 363)(132, 364)(133, 365)(134, 366)(135, 367)(136, 368)(137, 369)(138, 370)(139, 371)(140, 372)(141, 373)(142, 374)(143, 375)(144, 376)(145, 377)(146, 378)(147, 379)(148, 380)(149, 381)(150, 382)(151, 383)(152, 384)(153, 385)(154, 386)(155, 387)(156, 388)(157, 389)(158, 390)(159, 391)(160, 392)(161, 393)(162, 394)(163, 395)(164, 396)(165, 397)(166, 398)(167, 399)(168, 400)(169, 401)(170, 402)(171, 403)(172, 404)(173, 405)(174, 406)(175, 407)(176, 408)(177, 409)(178, 410)(179, 411)(180, 412)(181, 413)(182, 414)(183, 415)(184, 416)(185, 417)(186, 418)(187, 419)(188, 420)(189, 421)(190, 422)(191, 423)(192, 424)(193, 425)(194, 426)(195, 427)(196, 428)(197, 429)(198, 430)(199, 431)(200, 432)(201, 433)(202, 434)(203, 435)(204, 436)(205, 437)(206, 438)(207, 439)(208, 440)(209, 441)(210, 442)(211, 443)(212, 444)(213, 445)(214, 446)(215, 447)(216, 448)(217, 449)(218, 450)(219, 451)(220, 452)(221, 453)(222, 454)(223, 455)(224, 456)(225, 457)(226, 458)(227, 459)(228, 460)(229, 461)(230, 462)(231, 463)(232, 464)
	local type(s) :: { ( 4^4 ), ( 4^58 ) }
Outer automorphisms :: reflexible
Dual of E28.2492
Graph:: simple bipartite
	v = 62 e = 232 f = 116
	degree seq :: [ 4^58, 58^4 ]

E28.2490 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 29})
Quotient :: edge^2
Aut^+ = C29 : C4 (small group id <116, 3>)
Aut   = C2 x (C29 : C4) (small group id <232, 12>)
|r| :: 2
Presentation :: [ Y3, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y2 * Y1^-1)^2, Y2^4, Y1^4, Y2^2 * Y1^-2 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1, Y2^-1 * Y1^2 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y1^-1 * Y3^-1 * Y2^-1)^29 ]
Map:: polytopal
	R = (1, 117)(2, 118)(3, 119)(4, 120)(5, 121)(6, 122)(7, 123)(8, 124)(9, 125)(10, 126)(11, 127)(12, 128)(13, 129)(14, 130)(15, 131)(16, 132)(17, 133)(18, 134)(19, 135)(20, 136)(21, 137)(22, 138)(23, 139)(24, 140)(25, 141)(26, 142)(27, 143)(28, 144)(29, 145)(30, 146)(31, 147)(32, 148)(33, 149)(34, 150)(35, 151)(36, 152)(37, 153)(38, 154)(39, 155)(40, 156)(41, 157)(42, 158)(43, 159)(44, 160)(45, 161)(46, 162)(47, 163)(48, 164)(49, 165)(50, 166)(51, 167)(52, 168)(53, 169)(54, 170)(55, 171)(56, 172)(57, 173)(58, 174)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)(233, 234, 238, 236)(235, 241, 250, 240)(237, 243, 254, 245)(239, 248, 260, 247)(242, 253, 267, 252)(244, 246, 258, 256)(249, 263, 280, 262)(251, 265, 282, 264)(255, 271, 290, 270)(257, 269, 288, 273)(259, 276, 296, 275)(261, 278, 298, 277)(266, 285, 307, 284)(268, 287, 309, 286)(272, 274, 294, 292)(279, 301, 326, 300)(281, 303, 328, 302)(283, 305, 330, 304)(289, 313, 325, 312)(291, 315, 334, 314)(293, 311, 327, 317)(295, 320, 306, 319)(297, 322, 336, 321)(299, 324, 338, 323)(308, 331, 316, 318)(310, 333, 342, 332)(329, 340, 346, 339)(335, 341, 347, 343)(337, 345, 348, 344)(349, 351, 358, 353)(350, 355, 365, 356)(352, 359, 371, 360)(354, 362, 375, 363)(357, 367, 382, 368)(361, 369, 384, 373)(364, 377, 395, 378)(366, 379, 397, 380)(370, 385, 405, 386)(372, 387, 407, 388)(374, 390, 411, 391)(376, 392, 413, 393)(381, 399, 422, 400)(383, 401, 424, 402)(389, 403, 426, 409)(394, 415, 441, 416)(396, 417, 443, 418)(398, 419, 445, 420)(404, 427, 442, 428)(406, 429, 440, 430)(408, 431, 451, 432)(410, 434, 423, 435)(412, 436, 421, 437)(414, 438, 453, 439)(425, 447, 457, 448)(433, 449, 455, 444)(446, 456, 460, 452)(450, 454, 461, 459)(458, 463, 464, 462)
	L = (1, 233)(2, 234)(3, 235)(4, 236)(5, 237)(6, 238)(7, 239)(8, 240)(9, 241)(10, 242)(11, 243)(12, 244)(13, 245)(14, 246)(15, 247)(16, 248)(17, 249)(18, 250)(19, 251)(20, 252)(21, 253)(22, 254)(23, 255)(24, 256)(25, 257)(26, 258)(27, 259)(28, 260)(29, 261)(30, 262)(31, 263)(32, 264)(33, 265)(34, 266)(35, 267)(36, 268)(37, 269)(38, 270)(39, 271)(40, 272)(41, 273)(42, 274)(43, 275)(44, 276)(45, 277)(46, 278)(47, 279)(48, 280)(49, 281)(50, 282)(51, 283)(52, 284)(53, 285)(54, 286)(55, 287)(56, 288)(57, 289)(58, 290)(59, 291)(60, 292)(61, 293)(62, 294)(63, 295)(64, 296)(65, 297)(66, 298)(67, 299)(68, 300)(69, 301)(70, 302)(71, 303)(72, 304)(73, 305)(74, 306)(75, 307)(76, 308)(77, 309)(78, 310)(79, 311)(80, 312)(81, 313)(82, 314)(83, 315)(84, 316)(85, 317)(86, 318)(87, 319)(88, 320)(89, 321)(90, 322)(91, 323)(92, 324)(93, 325)(94, 326)(95, 327)(96, 328)(97, 329)(98, 330)(99, 331)(100, 332)(101, 333)(102, 334)(103, 335)(104, 336)(105, 337)(106, 338)(107, 339)(108, 340)(109, 341)(110, 342)(111, 343)(112, 344)(113, 345)(114, 346)(115, 347)(116, 348)(117, 349)(118, 350)(119, 351)(120, 352)(121, 353)(122, 354)(123, 355)(124, 356)(125, 357)(126, 358)(127, 359)(128, 360)(129, 361)(130, 362)(131, 363)(132, 364)(133, 365)(134, 366)(135, 367)(136, 368)(137, 369)(138, 370)(139, 371)(140, 372)(141, 373)(142, 374)(143, 375)(144, 376)(145, 377)(146, 378)(147, 379)(148, 380)(149, 381)(150, 382)(151, 383)(152, 384)(153, 385)(154, 386)(155, 387)(156, 388)(157, 389)(158, 390)(159, 391)(160, 392)(161, 393)(162, 394)(163, 395)(164, 396)(165, 397)(166, 398)(167, 399)(168, 400)(169, 401)(170, 402)(171, 403)(172, 404)(173, 405)(174, 406)(175, 407)(176, 408)(177, 409)(178, 410)(179, 411)(180, 412)(181, 413)(182, 414)(183, 415)(184, 416)(185, 417)(186, 418)(187, 419)(188, 420)(189, 421)(190, 422)(191, 423)(192, 424)(193, 425)(194, 426)(195, 427)(196, 428)(197, 429)(198, 430)(199, 431)(200, 432)(201, 433)(202, 434)(203, 435)(204, 436)(205, 437)(206, 438)(207, 439)(208, 440)(209, 441)(210, 442)(211, 443)(212, 444)(213, 445)(214, 446)(215, 447)(216, 448)(217, 449)(218, 450)(219, 451)(220, 452)(221, 453)(222, 454)(223, 455)(224, 456)(225, 457)(226, 458)(227, 459)(228, 460)(229, 461)(230, 462)(231, 463)(232, 464)
	local type(s) :: { ( 116, 116 ), ( 116^4 ) }
Outer automorphisms :: reflexible
Dual of E28.2491
Graph:: simple bipartite
	v = 174 e = 232 f = 4
	degree seq :: [ 2^116, 4^58 ]

E28.2491 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 29})
Quotient :: loop^2
Aut^+ = C29 : C4 (small group id <116, 3>)
Aut   = C2 x (C29 : C4) (small group id <232, 12>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3 * Y1, Y1^4, Y2^4, Y1^4, (R * Y3)^2, R * Y1 * R * Y2, Y2^4, (Y1 * Y2^-1)^2, Y1 * Y3^2 * Y1^-2 * Y3 * Y2^-1, Y3 * Y2^-1 * Y1 * Y3^2 * Y1^-2, Y3^-2 * Y2^2 * Y3^-1 * Y1 * Y2^-1, Y3^2 * Y2 * Y3^-4 * Y1, Y3^2 * Y2 * Y1 * Y3^-2 * Y1^-1 * Y2^-1 ]
Map::
	R = (1, 117, 233, 349, 4, 120, 236, 352, 16, 132, 248, 364, 43, 159, 275, 391, 66, 182, 298, 414, 38, 154, 270, 386, 78, 194, 310, 426, 98, 214, 330, 446, 113, 229, 345, 461, 108, 224, 340, 456, 72, 188, 304, 420, 34, 150, 266, 382, 21, 137, 253, 369, 48, 164, 280, 396, 90, 206, 322, 438, 65, 181, 297, 413, 29, 145, 261, 377, 12, 128, 244, 360, 36, 152, 268, 384, 76, 192, 308, 424, 109, 225, 341, 457, 105, 221, 337, 453, 80, 196, 312, 428, 74, 190, 306, 422, 53, 169, 285, 401, 95, 211, 327, 443, 63, 179, 295, 411, 27, 143, 259, 375, 7, 123, 239, 355)(2, 118, 234, 350, 9, 125, 241, 357, 30, 146, 262, 378, 67, 183, 299, 415, 102, 218, 334, 450, 60, 176, 292, 408, 92, 208, 324, 440, 45, 161, 277, 393, 91, 207, 323, 439, 100, 216, 332, 448, 55, 171, 287, 403, 23, 139, 255, 371, 6, 122, 238, 354, 22, 138, 254, 370, 54, 170, 286, 402, 99, 215, 331, 447, 57, 173, 289, 405, 24, 140, 256, 372, 56, 172, 288, 404, 87, 203, 319, 435, 112, 228, 344, 460, 114, 230, 346, 462, 96, 212, 328, 444, 50, 166, 282, 398, 18, 134, 250, 366, 49, 165, 281, 397, 75, 191, 307, 423, 35, 151, 267, 383, 11, 127, 243, 359)(3, 119, 235, 351, 5, 121, 237, 353, 20, 136, 252, 368, 52, 168, 284, 400, 84, 200, 316, 432, 42, 158, 274, 390, 44, 160, 276, 392, 89, 205, 321, 437, 103, 219, 335, 451, 115, 231, 347, 463, 101, 217, 333, 449, 58, 174, 290, 406, 25, 141, 257, 373, 26, 142, 258, 374, 59, 175, 291, 407, 83, 199, 315, 431, 41, 157, 273, 389, 15, 131, 247, 363, 17, 133, 249, 365, 47, 163, 279, 395, 94, 210, 326, 442, 111, 227, 343, 459, 85, 201, 317, 433, 86, 202, 318, 434, 61, 177, 293, 409, 62, 178, 294, 410, 82, 198, 314, 430, 40, 156, 272, 388, 14, 130, 246, 362)(8, 124, 240, 356, 28, 144, 260, 376, 64, 180, 296, 412, 104, 220, 336, 452, 97, 213, 329, 445, 73, 189, 305, 421, 81, 197, 313, 429, 68, 184, 300, 416, 107, 223, 339, 455, 77, 193, 309, 425, 37, 153, 269, 385, 13, 129, 245, 361, 10, 126, 242, 358, 32, 148, 264, 380, 70, 186, 302, 418, 93, 209, 325, 441, 51, 167, 283, 399, 33, 149, 265, 381, 71, 187, 303, 419, 106, 222, 338, 454, 116, 232, 348, 464, 110, 226, 342, 458, 79, 195, 311, 427, 39, 155, 271, 387, 31, 147, 263, 379, 69, 185, 301, 417, 88, 204, 320, 436, 46, 162, 278, 394, 19, 135, 251, 367)
	L = (1, 118)(2, 124)(3, 128)(4, 122)(5, 117)(6, 135)(7, 140)(8, 121)(9, 126)(10, 119)(11, 149)(12, 125)(13, 131)(14, 154)(15, 152)(16, 134)(17, 120)(18, 162)(19, 133)(20, 137)(21, 127)(22, 129)(23, 167)(24, 144)(25, 145)(26, 123)(27, 176)(28, 142)(29, 172)(30, 147)(31, 130)(32, 141)(33, 136)(34, 173)(35, 189)(36, 138)(37, 158)(38, 146)(39, 157)(40, 196)(41, 194)(42, 192)(43, 161)(44, 132)(45, 204)(46, 160)(47, 164)(48, 139)(49, 153)(50, 209)(51, 163)(52, 169)(53, 151)(54, 155)(55, 213)(56, 148)(57, 187)(58, 182)(59, 150)(60, 180)(61, 181)(62, 143)(63, 212)(64, 178)(65, 208)(66, 203)(67, 184)(68, 156)(69, 174)(70, 177)(71, 175)(72, 218)(73, 168)(74, 215)(75, 195)(76, 165)(77, 201)(78, 170)(79, 200)(80, 183)(81, 199)(82, 188)(83, 190)(84, 214)(85, 225)(86, 159)(87, 185)(88, 202)(89, 206)(90, 166)(91, 193)(92, 186)(93, 205)(94, 211)(95, 171)(96, 220)(97, 210)(98, 191)(99, 197)(100, 226)(101, 221)(102, 222)(103, 179)(104, 219)(105, 228)(106, 198)(107, 217)(108, 230)(109, 207)(110, 227)(111, 229)(112, 223)(113, 216)(114, 232)(115, 224)(116, 231)(233, 351)(234, 355)(235, 361)(236, 363)(237, 367)(238, 349)(239, 373)(240, 359)(241, 377)(242, 350)(243, 382)(244, 362)(245, 354)(246, 387)(247, 385)(248, 390)(249, 394)(250, 352)(251, 371)(252, 399)(253, 353)(254, 360)(255, 369)(256, 375)(257, 358)(258, 356)(259, 409)(260, 405)(261, 406)(262, 414)(263, 357)(264, 372)(265, 383)(266, 374)(267, 422)(268, 389)(269, 366)(270, 388)(271, 370)(272, 429)(273, 427)(274, 425)(275, 433)(276, 436)(277, 364)(278, 398)(279, 441)(280, 365)(281, 384)(282, 396)(283, 403)(284, 445)(285, 368)(286, 386)(287, 401)(288, 413)(289, 420)(290, 379)(291, 381)(292, 411)(293, 380)(294, 376)(295, 437)(296, 450)(297, 434)(298, 449)(299, 453)(300, 378)(301, 404)(302, 408)(303, 447)(304, 410)(305, 423)(306, 407)(307, 426)(308, 432)(309, 393)(310, 431)(311, 397)(312, 430)(313, 402)(314, 419)(315, 421)(316, 458)(317, 455)(318, 417)(319, 391)(320, 440)(321, 418)(322, 392)(323, 424)(324, 438)(325, 444)(326, 452)(327, 395)(328, 443)(329, 448)(330, 400)(331, 428)(332, 446)(333, 416)(334, 456)(335, 412)(336, 462)(337, 463)(338, 415)(339, 435)(340, 451)(341, 459)(342, 439)(343, 464)(344, 457)(345, 442)(346, 461)(347, 454)(348, 460)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.2490
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 232 f = 174
	degree seq :: [ 116^4 ]

E28.2492 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 29})
Quotient :: loop^2
Aut^+ = C29 : C4 (small group id <116, 3>)
Aut   = C2 x (C29 : C4) (small group id <232, 12>)
|r| :: 2
Presentation :: [ Y3, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y2 * Y1^-1)^2, Y2^4, Y1^4, Y2^2 * Y1^-2 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1, Y2^-1 * Y1^2 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y1^-1 * Y3^-1 * Y2^-1)^29 ]
Map:: polytopal non-degenerate
	R = (1, 117, 233, 349)(2, 118, 234, 350)(3, 119, 235, 351)(4, 120, 236, 352)(5, 121, 237, 353)(6, 122, 238, 354)(7, 123, 239, 355)(8, 124, 240, 356)(9, 125, 241, 357)(10, 126, 242, 358)(11, 127, 243, 359)(12, 128, 244, 360)(13, 129, 245, 361)(14, 130, 246, 362)(15, 131, 247, 363)(16, 132, 248, 364)(17, 133, 249, 365)(18, 134, 250, 366)(19, 135, 251, 367)(20, 136, 252, 368)(21, 137, 253, 369)(22, 138, 254, 370)(23, 139, 255, 371)(24, 140, 256, 372)(25, 141, 257, 373)(26, 142, 258, 374)(27, 143, 259, 375)(28, 144, 260, 376)(29, 145, 261, 377)(30, 146, 262, 378)(31, 147, 263, 379)(32, 148, 264, 380)(33, 149, 265, 381)(34, 150, 266, 382)(35, 151, 267, 383)(36, 152, 268, 384)(37, 153, 269, 385)(38, 154, 270, 386)(39, 155, 271, 387)(40, 156, 272, 388)(41, 157, 273, 389)(42, 158, 274, 390)(43, 159, 275, 391)(44, 160, 276, 392)(45, 161, 277, 393)(46, 162, 278, 394)(47, 163, 279, 395)(48, 164, 280, 396)(49, 165, 281, 397)(50, 166, 282, 398)(51, 167, 283, 399)(52, 168, 284, 400)(53, 169, 285, 401)(54, 170, 286, 402)(55, 171, 287, 403)(56, 172, 288, 404)(57, 173, 289, 405)(58, 174, 290, 406)(59, 175, 291, 407)(60, 176, 292, 408)(61, 177, 293, 409)(62, 178, 294, 410)(63, 179, 295, 411)(64, 180, 296, 412)(65, 181, 297, 413)(66, 182, 298, 414)(67, 183, 299, 415)(68, 184, 300, 416)(69, 185, 301, 417)(70, 186, 302, 418)(71, 187, 303, 419)(72, 188, 304, 420)(73, 189, 305, 421)(74, 190, 306, 422)(75, 191, 307, 423)(76, 192, 308, 424)(77, 193, 309, 425)(78, 194, 310, 426)(79, 195, 311, 427)(80, 196, 312, 428)(81, 197, 313, 429)(82, 198, 314, 430)(83, 199, 315, 431)(84, 200, 316, 432)(85, 201, 317, 433)(86, 202, 318, 434)(87, 203, 319, 435)(88, 204, 320, 436)(89, 205, 321, 437)(90, 206, 322, 438)(91, 207, 323, 439)(92, 208, 324, 440)(93, 209, 325, 441)(94, 210, 326, 442)(95, 211, 327, 443)(96, 212, 328, 444)(97, 213, 329, 445)(98, 214, 330, 446)(99, 215, 331, 447)(100, 216, 332, 448)(101, 217, 333, 449)(102, 218, 334, 450)(103, 219, 335, 451)(104, 220, 336, 452)(105, 221, 337, 453)(106, 222, 338, 454)(107, 223, 339, 455)(108, 224, 340, 456)(109, 225, 341, 457)(110, 226, 342, 458)(111, 227, 343, 459)(112, 228, 344, 460)(113, 229, 345, 461)(114, 230, 346, 462)(115, 231, 347, 463)(116, 232, 348, 464)
	L = (1, 118)(2, 122)(3, 125)(4, 117)(5, 127)(6, 120)(7, 132)(8, 119)(9, 134)(10, 137)(11, 138)(12, 130)(13, 121)(14, 142)(15, 123)(16, 144)(17, 147)(18, 124)(19, 149)(20, 126)(21, 151)(22, 129)(23, 155)(24, 128)(25, 153)(26, 140)(27, 160)(28, 131)(29, 162)(30, 133)(31, 164)(32, 135)(33, 166)(34, 169)(35, 136)(36, 171)(37, 172)(38, 139)(39, 174)(40, 158)(41, 141)(42, 178)(43, 143)(44, 180)(45, 145)(46, 182)(47, 185)(48, 146)(49, 187)(50, 148)(51, 189)(52, 150)(53, 191)(54, 152)(55, 193)(56, 157)(57, 197)(58, 154)(59, 199)(60, 156)(61, 195)(62, 176)(63, 204)(64, 159)(65, 206)(66, 161)(67, 208)(68, 163)(69, 210)(70, 165)(71, 212)(72, 167)(73, 214)(74, 203)(75, 168)(76, 215)(77, 170)(78, 217)(79, 211)(80, 173)(81, 209)(82, 175)(83, 218)(84, 202)(85, 177)(86, 192)(87, 179)(88, 190)(89, 181)(90, 220)(91, 183)(92, 222)(93, 196)(94, 184)(95, 201)(96, 186)(97, 224)(98, 188)(99, 200)(100, 194)(101, 226)(102, 198)(103, 225)(104, 205)(105, 229)(106, 207)(107, 213)(108, 230)(109, 231)(110, 216)(111, 219)(112, 221)(113, 232)(114, 223)(115, 227)(116, 228)(233, 351)(234, 355)(235, 358)(236, 359)(237, 349)(238, 362)(239, 365)(240, 350)(241, 367)(242, 353)(243, 371)(244, 352)(245, 369)(246, 375)(247, 354)(248, 377)(249, 356)(250, 379)(251, 382)(252, 357)(253, 384)(254, 385)(255, 360)(256, 387)(257, 361)(258, 390)(259, 363)(260, 392)(261, 395)(262, 364)(263, 397)(264, 366)(265, 399)(266, 368)(267, 401)(268, 373)(269, 405)(270, 370)(271, 407)(272, 372)(273, 403)(274, 411)(275, 374)(276, 413)(277, 376)(278, 415)(279, 378)(280, 417)(281, 380)(282, 419)(283, 422)(284, 381)(285, 424)(286, 383)(287, 426)(288, 427)(289, 386)(290, 429)(291, 388)(292, 431)(293, 389)(294, 434)(295, 391)(296, 436)(297, 393)(298, 438)(299, 441)(300, 394)(301, 443)(302, 396)(303, 445)(304, 398)(305, 437)(306, 400)(307, 435)(308, 402)(309, 447)(310, 409)(311, 442)(312, 404)(313, 440)(314, 406)(315, 451)(316, 408)(317, 449)(318, 423)(319, 410)(320, 421)(321, 412)(322, 453)(323, 414)(324, 430)(325, 416)(326, 428)(327, 418)(328, 433)(329, 420)(330, 456)(331, 457)(332, 425)(333, 455)(334, 454)(335, 432)(336, 446)(337, 439)(338, 461)(339, 444)(340, 460)(341, 448)(342, 463)(343, 450)(344, 452)(345, 459)(346, 458)(347, 464)(348, 462)
	local type(s) :: { ( 4, 58, 4, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.2489
Transitivity :: VT+
Graph:: simple bipartite
	v = 116 e = 232 f = 62
	degree seq :: [ 4^116 ]

E28.2493 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 58, 58})
Quotient :: regular
Aut^+ = C58 x C2 (small group id <116, 5>)
Aut   = C2 x C2 x D58 (small group id <232, 13>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T1^58 ]
Map::
	R = (1, 2, 5, 9, 13, 17, 21, 25, 29, 40, 36, 33, 34, 37, 41, 44, 47, 49, 51, 53, 63, 59, 56, 57, 60, 64, 67, 70, 72, 74, 76, 87, 83, 80, 81, 84, 88, 91, 94, 96, 98, 99, 110, 106, 103, 104, 107, 111, 114, 101, 32, 28, 24, 20, 16, 12, 8, 4)(3, 6, 10, 14, 18, 22, 26, 30, 46, 43, 39, 35, 38, 42, 45, 48, 50, 52, 54, 69, 66, 62, 58, 61, 65, 68, 71, 73, 75, 77, 93, 90, 86, 82, 85, 89, 92, 95, 97, 79, 100, 116, 113, 109, 105, 108, 112, 115, 102, 78, 55, 31, 27, 23, 19, 15, 11, 7)
	L = (1, 3)(2, 6)(4, 7)(5, 10)(8, 11)(9, 14)(12, 15)(13, 18)(16, 19)(17, 22)(20, 23)(21, 26)(24, 27)(25, 30)(28, 31)(29, 46)(32, 55)(33, 35)(34, 38)(36, 39)(37, 42)(40, 43)(41, 45)(44, 48)(47, 50)(49, 52)(51, 54)(53, 69)(56, 58)(57, 61)(59, 62)(60, 65)(63, 66)(64, 68)(67, 71)(70, 73)(72, 75)(74, 77)(76, 93)(78, 101)(79, 96)(80, 82)(81, 85)(83, 86)(84, 89)(87, 90)(88, 92)(91, 95)(94, 97)(98, 100)(99, 116)(102, 114)(103, 105)(104, 108)(106, 109)(107, 112)(110, 113)(111, 115)
	local type(s) :: { ( 58^58 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 58 f = 2
	degree seq :: [ 58^2 ]

E28.2494 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 58, 58})
Quotient :: edge
Aut^+ = C58 x C2 (small group id <116, 5>)
Aut   = C2 x C2 x D58 (small group id <232, 13>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^58 ]
Map::
	R = (1, 3, 7, 11, 15, 19, 23, 27, 31, 40, 36, 33, 35, 39, 43, 46, 48, 50, 52, 54, 63, 59, 56, 58, 62, 66, 69, 71, 73, 75, 77, 87, 83, 80, 82, 86, 90, 93, 95, 97, 98, 100, 110, 106, 103, 105, 109, 113, 116, 101, 32, 28, 24, 20, 16, 12, 8, 4)(2, 5, 9, 13, 17, 21, 25, 29, 45, 42, 38, 34, 37, 41, 44, 47, 49, 51, 53, 68, 65, 61, 57, 60, 64, 67, 70, 72, 74, 76, 92, 89, 85, 81, 84, 88, 91, 94, 96, 79, 99, 115, 112, 108, 104, 107, 111, 114, 102, 78, 55, 30, 26, 22, 18, 14, 10, 6)(117, 118)(119, 121)(120, 122)(123, 125)(124, 126)(127, 129)(128, 130)(131, 133)(132, 134)(135, 137)(136, 138)(139, 141)(140, 142)(143, 145)(144, 146)(147, 161)(148, 171)(149, 150)(151, 153)(152, 154)(155, 157)(156, 158)(159, 160)(162, 163)(164, 165)(166, 167)(168, 169)(170, 184)(172, 173)(174, 176)(175, 177)(178, 180)(179, 181)(182, 183)(185, 186)(187, 188)(189, 190)(191, 192)(193, 208)(194, 217)(195, 213)(196, 197)(198, 200)(199, 201)(202, 204)(203, 205)(206, 207)(209, 210)(211, 212)(214, 215)(216, 231)(218, 232)(219, 220)(221, 223)(222, 224)(225, 227)(226, 228)(229, 230)
	L = (1, 117)(2, 118)(3, 119)(4, 120)(5, 121)(6, 122)(7, 123)(8, 124)(9, 125)(10, 126)(11, 127)(12, 128)(13, 129)(14, 130)(15, 131)(16, 132)(17, 133)(18, 134)(19, 135)(20, 136)(21, 137)(22, 138)(23, 139)(24, 140)(25, 141)(26, 142)(27, 143)(28, 144)(29, 145)(30, 146)(31, 147)(32, 148)(33, 149)(34, 150)(35, 151)(36, 152)(37, 153)(38, 154)(39, 155)(40, 156)(41, 157)(42, 158)(43, 159)(44, 160)(45, 161)(46, 162)(47, 163)(48, 164)(49, 165)(50, 166)(51, 167)(52, 168)(53, 169)(54, 170)(55, 171)(56, 172)(57, 173)(58, 174)(59, 175)(60, 176)(61, 177)(62, 178)(63, 179)(64, 180)(65, 181)(66, 182)(67, 183)(68, 184)(69, 185)(70, 186)(71, 187)(72, 188)(73, 189)(74, 190)(75, 191)(76, 192)(77, 193)(78, 194)(79, 195)(80, 196)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 202)(87, 203)(88, 204)(89, 205)(90, 206)(91, 207)(92, 208)(93, 209)(94, 210)(95, 211)(96, 212)(97, 213)(98, 214)(99, 215)(100, 216)(101, 217)(102, 218)(103, 219)(104, 220)(105, 221)(106, 222)(107, 223)(108, 224)(109, 225)(110, 226)(111, 227)(112, 228)(113, 229)(114, 230)(115, 231)(116, 232)
	local type(s) :: { ( 116, 116 ), ( 116^58 ) }
Outer automorphisms :: reflexible
Dual of E28.2495
Transitivity :: ET+
Graph:: simple bipartite
	v = 60 e = 116 f = 2
	degree seq :: [ 2^58, 58^2 ]

E28.2495 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 58, 58})
Quotient :: loop
Aut^+ = C58 x C2 (small group id <116, 5>)
Aut   = C2 x C2 x D58 (small group id <232, 13>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^58 ]
Map::
	R = (1, 117, 3, 119, 7, 123, 11, 127, 15, 131, 19, 135, 23, 139, 27, 143, 31, 147, 36, 152, 33, 149, 35, 151, 39, 155, 42, 158, 44, 160, 46, 162, 48, 164, 50, 166, 52, 168, 57, 173, 54, 170, 56, 172, 60, 176, 63, 179, 65, 181, 67, 183, 69, 185, 71, 187, 73, 189, 79, 195, 76, 192, 78, 194, 82, 198, 85, 201, 87, 203, 89, 205, 91, 207, 93, 209, 95, 211, 102, 218, 99, 215, 101, 217, 103, 219, 106, 222, 108, 224, 110, 226, 112, 228, 114, 230, 116, 232, 96, 212, 32, 148, 28, 144, 24, 140, 20, 136, 16, 132, 12, 128, 8, 124, 4, 120)(2, 118, 5, 121, 9, 125, 13, 129, 17, 133, 21, 137, 25, 141, 29, 145, 41, 157, 38, 154, 34, 150, 37, 153, 40, 156, 43, 159, 45, 161, 47, 163, 49, 165, 51, 167, 62, 178, 59, 175, 55, 171, 58, 174, 61, 177, 64, 180, 66, 182, 68, 184, 70, 186, 72, 188, 84, 200, 81, 197, 77, 193, 80, 196, 83, 199, 86, 202, 88, 204, 90, 206, 92, 208, 94, 210, 105, 221, 98, 214, 75, 191, 100, 216, 104, 220, 107, 223, 109, 225, 111, 227, 113, 229, 115, 231, 97, 213, 74, 190, 53, 169, 30, 146, 26, 142, 22, 138, 18, 134, 14, 130, 10, 126, 6, 122)
	L = (1, 118)(2, 117)(3, 121)(4, 122)(5, 119)(6, 120)(7, 125)(8, 126)(9, 123)(10, 124)(11, 129)(12, 130)(13, 127)(14, 128)(15, 133)(16, 134)(17, 131)(18, 132)(19, 137)(20, 138)(21, 135)(22, 136)(23, 141)(24, 142)(25, 139)(26, 140)(27, 145)(28, 146)(29, 143)(30, 144)(31, 157)(32, 169)(33, 150)(34, 149)(35, 153)(36, 154)(37, 151)(38, 152)(39, 156)(40, 155)(41, 147)(42, 159)(43, 158)(44, 161)(45, 160)(46, 163)(47, 162)(48, 165)(49, 164)(50, 167)(51, 166)(52, 178)(53, 148)(54, 171)(55, 170)(56, 174)(57, 175)(58, 172)(59, 173)(60, 177)(61, 176)(62, 168)(63, 180)(64, 179)(65, 182)(66, 181)(67, 184)(68, 183)(69, 186)(70, 185)(71, 188)(72, 187)(73, 200)(74, 212)(75, 215)(76, 193)(77, 192)(78, 196)(79, 197)(80, 194)(81, 195)(82, 199)(83, 198)(84, 189)(85, 202)(86, 201)(87, 204)(88, 203)(89, 206)(90, 205)(91, 208)(92, 207)(93, 210)(94, 209)(95, 221)(96, 190)(97, 232)(98, 218)(99, 191)(100, 217)(101, 216)(102, 214)(103, 220)(104, 219)(105, 211)(106, 223)(107, 222)(108, 225)(109, 224)(110, 227)(111, 226)(112, 229)(113, 228)(114, 231)(115, 230)(116, 213)
	local type(s) :: { ( 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58, 2, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.2494
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 116 f = 60
	degree seq :: [ 116^2 ]

E28.2496 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 58, 58})
Quotient :: dipole
Aut^+ = C58 x C2 (small group id <116, 5>)
Aut   = C2 x C2 x D58 (small group id <232, 13>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y2^58, (Y3 * Y2^-1)^58 ]
Map::
	R = (1, 117, 2, 118)(3, 119, 5, 121)(4, 120, 6, 122)(7, 123, 9, 125)(8, 124, 10, 126)(11, 127, 13, 129)(12, 128, 14, 130)(15, 131, 17, 133)(16, 132, 18, 134)(19, 135, 21, 137)(20, 136, 22, 138)(23, 139, 25, 141)(24, 140, 26, 142)(27, 143, 29, 145)(28, 144, 30, 146)(31, 147, 37, 153)(32, 148, 51, 167)(33, 149, 34, 150)(35, 151, 36, 152)(38, 154, 39, 155)(40, 156, 41, 157)(42, 158, 43, 159)(44, 160, 45, 161)(46, 162, 47, 163)(48, 164, 49, 165)(50, 166, 56, 172)(52, 168, 53, 169)(54, 170, 55, 171)(57, 173, 58, 174)(59, 175, 60, 176)(61, 177, 62, 178)(63, 179, 64, 180)(65, 181, 66, 182)(67, 183, 68, 184)(69, 185, 76, 192)(70, 186, 90, 206)(71, 187, 93, 209)(72, 188, 73, 189)(74, 190, 75, 191)(77, 193, 78, 194)(79, 195, 80, 196)(81, 197, 82, 198)(83, 199, 84, 200)(85, 201, 86, 202)(87, 203, 88, 204)(89, 205, 99, 215)(91, 207, 109, 225)(92, 208, 104, 220)(94, 210, 105, 221)(95, 211, 96, 212)(97, 213, 98, 214)(100, 216, 101, 217)(102, 218, 103, 219)(106, 222, 107, 223)(108, 224, 115, 231)(110, 226, 116, 232)(111, 227, 112, 228)(113, 229, 114, 230)(233, 349, 235, 351, 239, 355, 243, 359, 247, 363, 251, 367, 255, 371, 259, 375, 263, 379, 265, 381, 267, 383, 270, 386, 272, 388, 274, 390, 276, 392, 278, 394, 280, 396, 282, 398, 284, 400, 286, 402, 289, 405, 291, 407, 293, 409, 295, 411, 297, 413, 299, 415, 301, 417, 304, 420, 306, 422, 309, 425, 311, 427, 313, 429, 315, 431, 317, 433, 319, 435, 321, 437, 327, 443, 329, 445, 332, 448, 334, 450, 336, 452, 325, 441, 337, 453, 338, 454, 340, 456, 343, 459, 345, 461, 348, 464, 341, 457, 322, 438, 264, 380, 260, 376, 256, 372, 252, 368, 248, 364, 244, 360, 240, 356, 236, 352)(234, 350, 237, 353, 241, 357, 245, 361, 249, 365, 253, 369, 257, 373, 261, 377, 269, 385, 266, 382, 268, 384, 271, 387, 273, 389, 275, 391, 277, 393, 279, 395, 281, 397, 288, 404, 285, 401, 287, 403, 290, 406, 292, 408, 294, 410, 296, 412, 298, 414, 300, 416, 308, 424, 305, 421, 307, 423, 310, 426, 312, 428, 314, 430, 316, 432, 318, 434, 320, 436, 331, 447, 328, 444, 330, 446, 333, 449, 335, 451, 324, 440, 303, 419, 326, 442, 339, 455, 347, 463, 344, 460, 346, 462, 342, 458, 323, 439, 302, 418, 283, 399, 262, 378, 258, 374, 254, 370, 250, 366, 246, 362, 242, 358, 238, 354)
	L = (1, 234)(2, 233)(3, 237)(4, 238)(5, 235)(6, 236)(7, 241)(8, 242)(9, 239)(10, 240)(11, 245)(12, 246)(13, 243)(14, 244)(15, 249)(16, 250)(17, 247)(18, 248)(19, 253)(20, 254)(21, 251)(22, 252)(23, 257)(24, 258)(25, 255)(26, 256)(27, 261)(28, 262)(29, 259)(30, 260)(31, 269)(32, 283)(33, 266)(34, 265)(35, 268)(36, 267)(37, 263)(38, 271)(39, 270)(40, 273)(41, 272)(42, 275)(43, 274)(44, 277)(45, 276)(46, 279)(47, 278)(48, 281)(49, 280)(50, 288)(51, 264)(52, 285)(53, 284)(54, 287)(55, 286)(56, 282)(57, 290)(58, 289)(59, 292)(60, 291)(61, 294)(62, 293)(63, 296)(64, 295)(65, 298)(66, 297)(67, 300)(68, 299)(69, 308)(70, 322)(71, 325)(72, 305)(73, 304)(74, 307)(75, 306)(76, 301)(77, 310)(78, 309)(79, 312)(80, 311)(81, 314)(82, 313)(83, 316)(84, 315)(85, 318)(86, 317)(87, 320)(88, 319)(89, 331)(90, 302)(91, 341)(92, 336)(93, 303)(94, 337)(95, 328)(96, 327)(97, 330)(98, 329)(99, 321)(100, 333)(101, 332)(102, 335)(103, 334)(104, 324)(105, 326)(106, 339)(107, 338)(108, 347)(109, 323)(110, 348)(111, 344)(112, 343)(113, 346)(114, 345)(115, 340)(116, 342)(117, 349)(118, 350)(119, 351)(120, 352)(121, 353)(122, 354)(123, 355)(124, 356)(125, 357)(126, 358)(127, 359)(128, 360)(129, 361)(130, 362)(131, 363)(132, 364)(133, 365)(134, 366)(135, 367)(136, 368)(137, 369)(138, 370)(139, 371)(140, 372)(141, 373)(142, 374)(143, 375)(144, 376)(145, 377)(146, 378)(147, 379)(148, 380)(149, 381)(150, 382)(151, 383)(152, 384)(153, 385)(154, 386)(155, 387)(156, 388)(157, 389)(158, 390)(159, 391)(160, 392)(161, 393)(162, 394)(163, 395)(164, 396)(165, 397)(166, 398)(167, 399)(168, 400)(169, 401)(170, 402)(171, 403)(172, 404)(173, 405)(174, 406)(175, 407)(176, 408)(177, 409)(178, 410)(179, 411)(180, 412)(181, 413)(182, 414)(183, 415)(184, 416)(185, 417)(186, 418)(187, 419)(188, 420)(189, 421)(190, 422)(191, 423)(192, 424)(193, 425)(194, 426)(195, 427)(196, 428)(197, 429)(198, 430)(199, 431)(200, 432)(201, 433)(202, 434)(203, 435)(204, 436)(205, 437)(206, 438)(207, 439)(208, 440)(209, 441)(210, 442)(211, 443)(212, 444)(213, 445)(214, 446)(215, 447)(216, 448)(217, 449)(218, 450)(219, 451)(220, 452)(221, 453)(222, 454)(223, 455)(224, 456)(225, 457)(226, 458)(227, 459)(228, 460)(229, 461)(230, 462)(231, 463)(232, 464)
	local type(s) :: { ( 2, 116, 2, 116 ), ( 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116, 2, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.2497
Graph:: bipartite
	v = 60 e = 232 f = 118
	degree seq :: [ 4^58, 116^2 ]

E28.2497 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 58, 58})
Quotient :: dipole
Aut^+ = C58 x C2 (small group id <116, 5>)
Aut   = C2 x C2 x D58 (small group id <232, 13>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (Y3^-1, Y1^-1), (R * Y2 * Y3^-1)^2, Y3^-58, Y1^58 ]
Map::
	R = (1, 117, 2, 118, 5, 121, 9, 125, 13, 129, 17, 133, 21, 137, 25, 141, 29, 145, 36, 152, 38, 154, 40, 156, 42, 158, 44, 160, 46, 162, 48, 164, 50, 166, 51, 167, 52, 168, 54, 170, 56, 172, 58, 174, 60, 176, 62, 178, 64, 180, 71, 187, 73, 189, 75, 191, 77, 193, 79, 195, 81, 197, 83, 199, 90, 206, 91, 207, 92, 208, 94, 210, 95, 211, 97, 213, 99, 215, 101, 217, 103, 219, 86, 202, 67, 183, 87, 203, 108, 224, 114, 230, 115, 231, 116, 232, 105, 221, 84, 200, 32, 148, 28, 144, 24, 140, 20, 136, 16, 132, 12, 128, 8, 124, 4, 120)(3, 119, 6, 122, 10, 126, 14, 130, 18, 134, 22, 138, 26, 142, 30, 146, 33, 149, 34, 150, 35, 151, 37, 153, 39, 155, 41, 157, 43, 159, 45, 161, 47, 163, 53, 169, 55, 171, 57, 173, 59, 175, 61, 177, 63, 179, 65, 181, 68, 184, 69, 185, 70, 186, 72, 188, 74, 190, 76, 192, 78, 194, 80, 196, 82, 198, 93, 209, 89, 205, 96, 212, 98, 214, 100, 216, 102, 218, 104, 220, 110, 226, 106, 222, 88, 204, 109, 225, 111, 227, 112, 228, 113, 229, 107, 223, 85, 201, 66, 182, 49, 165, 31, 147, 27, 143, 23, 139, 19, 135, 15, 131, 11, 127, 7, 123)(233, 349)(234, 350)(235, 351)(236, 352)(237, 353)(238, 354)(239, 355)(240, 356)(241, 357)(242, 358)(243, 359)(244, 360)(245, 361)(246, 362)(247, 363)(248, 364)(249, 365)(250, 366)(251, 367)(252, 368)(253, 369)(254, 370)(255, 371)(256, 372)(257, 373)(258, 374)(259, 375)(260, 376)(261, 377)(262, 378)(263, 379)(264, 380)(265, 381)(266, 382)(267, 383)(268, 384)(269, 385)(270, 386)(271, 387)(272, 388)(273, 389)(274, 390)(275, 391)(276, 392)(277, 393)(278, 394)(279, 395)(280, 396)(281, 397)(282, 398)(283, 399)(284, 400)(285, 401)(286, 402)(287, 403)(288, 404)(289, 405)(290, 406)(291, 407)(292, 408)(293, 409)(294, 410)(295, 411)(296, 412)(297, 413)(298, 414)(299, 415)(300, 416)(301, 417)(302, 418)(303, 419)(304, 420)(305, 421)(306, 422)(307, 423)(308, 424)(309, 425)(310, 426)(311, 427)(312, 428)(313, 429)(314, 430)(315, 431)(316, 432)(317, 433)(318, 434)(319, 435)(320, 436)(321, 437)(322, 438)(323, 439)(324, 440)(325, 441)(326, 442)(327, 443)(328, 444)(329, 445)(330, 446)(331, 447)(332, 448)(333, 449)(334, 450)(335, 451)(336, 452)(337, 453)(338, 454)(339, 455)(340, 456)(341, 457)(342, 458)(343, 459)(344, 460)(345, 461)(346, 462)(347, 463)(348, 464)
	L = (1, 235)(2, 238)(3, 233)(4, 239)(5, 242)(6, 234)(7, 236)(8, 243)(9, 246)(10, 237)(11, 240)(12, 247)(13, 250)(14, 241)(15, 244)(16, 251)(17, 254)(18, 245)(19, 248)(20, 255)(21, 258)(22, 249)(23, 252)(24, 259)(25, 262)(26, 253)(27, 256)(28, 263)(29, 265)(30, 257)(31, 260)(32, 281)(33, 261)(34, 268)(35, 270)(36, 266)(37, 272)(38, 267)(39, 274)(40, 269)(41, 276)(42, 271)(43, 278)(44, 273)(45, 280)(46, 275)(47, 282)(48, 277)(49, 264)(50, 279)(51, 285)(52, 287)(53, 283)(54, 289)(55, 284)(56, 291)(57, 286)(58, 293)(59, 288)(60, 295)(61, 290)(62, 297)(63, 292)(64, 300)(65, 294)(66, 316)(67, 320)(68, 296)(69, 303)(70, 305)(71, 301)(72, 307)(73, 302)(74, 309)(75, 304)(76, 311)(77, 306)(78, 313)(79, 308)(80, 315)(81, 310)(82, 322)(83, 312)(84, 298)(85, 337)(86, 338)(87, 341)(88, 299)(89, 324)(90, 314)(91, 325)(92, 321)(93, 323)(94, 328)(95, 330)(96, 326)(97, 332)(98, 327)(99, 334)(100, 329)(101, 336)(102, 331)(103, 342)(104, 333)(105, 317)(106, 318)(107, 348)(108, 343)(109, 319)(110, 335)(111, 340)(112, 346)(113, 347)(114, 344)(115, 345)(116, 339)(117, 349)(118, 350)(119, 351)(120, 352)(121, 353)(122, 354)(123, 355)(124, 356)(125, 357)(126, 358)(127, 359)(128, 360)(129, 361)(130, 362)(131, 363)(132, 364)(133, 365)(134, 366)(135, 367)(136, 368)(137, 369)(138, 370)(139, 371)(140, 372)(141, 373)(142, 374)(143, 375)(144, 376)(145, 377)(146, 378)(147, 379)(148, 380)(149, 381)(150, 382)(151, 383)(152, 384)(153, 385)(154, 386)(155, 387)(156, 388)(157, 389)(158, 390)(159, 391)(160, 392)(161, 393)(162, 394)(163, 395)(164, 396)(165, 397)(166, 398)(167, 399)(168, 400)(169, 401)(170, 402)(171, 403)(172, 404)(173, 405)(174, 406)(175, 407)(176, 408)(177, 409)(178, 410)(179, 411)(180, 412)(181, 413)(182, 414)(183, 415)(184, 416)(185, 417)(186, 418)(187, 419)(188, 420)(189, 421)(190, 422)(191, 423)(192, 424)(193, 425)(194, 426)(195, 427)(196, 428)(197, 429)(198, 430)(199, 431)(200, 432)(201, 433)(202, 434)(203, 435)(204, 436)(205, 437)(206, 438)(207, 439)(208, 440)(209, 441)(210, 442)(211, 443)(212, 444)(213, 445)(214, 446)(215, 447)(216, 448)(217, 449)(218, 450)(219, 451)(220, 452)(221, 453)(222, 454)(223, 455)(224, 456)(225, 457)(226, 458)(227, 459)(228, 460)(229, 461)(230, 462)(231, 463)(232, 464)
	local type(s) :: { ( 4, 116 ), ( 4, 116, 4, 116, 4, 116, 4, 116, 4, 116, 4, 116, 4, 116, 4, 116, 4, 116, 4, 116, 4, 116, 4, 116, 4, 116, 4, 116, 4, 116, 4, 116, 4, 116, 4, 116, 4, 116, 4, 116, 4, 116, 4, 116, 4, 116, 4, 116, 4, 116, 4, 116, 4, 116, 4, 116, 4, 116, 4, 116, 4, 116, 4, 116, 4, 116, 4, 116, 4, 116, 4, 116, 4, 116, 4, 116, 4, 116, 4, 116, 4, 116, 4, 116, 4, 116, 4, 116, 4, 116, 4, 116, 4, 116, 4, 116, 4, 116, 4, 116, 4, 116, 4, 116, 4, 116, 4, 116, 4, 116, 4, 116, 4, 116, 4, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.2496
Graph:: simple bipartite
	v = 118 e = 232 f = 60
	degree seq :: [ 2^116, 116^2 ]

E28.2498 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 5, 10})
Quotient :: edge
Aut^+ = SL(2,5) (small group id <120, 5>)
Aut   = SL(2,5) : C2 (small group id <240, 93>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T1)^2, (F * T2)^2, T2^5, T1^-1 * T2^-1 * T1^2 * T2 * T1^-1, T1 * T2^2 * T1 * T2^2 * T1^-1 * T2^2, T2^-1 * T1^-1 * T2^2 * T1 * T2^-1 * T1^-1 * T2^2 * T1^-1, T2^2 * T1^-1 * T2^-1 * T1 * T2^2 * T1^-1 * T2^-1 * T1^-1, T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1, T2^-1 * T1^-1 * T2^2 * T1 * T2^-1 * T1 * T2^2 * T1, T2^-1 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2 * T1 * T2^-1 * T1^-1, (T2^-1 * T1^-1)^10 ]
Map:: non-degenerate
	R = (1, 3, 10, 16, 5)(2, 7, 20, 24, 8)(4, 12, 31, 32, 13)(6, 17, 39, 40, 18)(9, 25, 54, 58, 26)(11, 29, 63, 64, 30)(14, 33, 66, 70, 34)(15, 35, 71, 72, 36)(19, 41, 78, 82, 42)(21, 45, 85, 86, 46)(22, 47, 88, 92, 48)(23, 49, 93, 94, 50)(27, 59, 52, 96, 60)(28, 61, 51, 95, 62)(37, 73, 83, 43, 74)(38, 75, 84, 44, 76)(53, 90, 119, 110, 97)(55, 91, 120, 109, 98)(56, 99, 67, 106, 100)(57, 101, 65, 105, 102)(68, 107, 104, 112, 79)(69, 108, 103, 111, 77)(80, 113, 89, 118, 114)(81, 115, 87, 117, 116)(121, 122, 126, 124)(123, 129, 137, 131)(125, 134, 138, 135)(127, 139, 132, 141)(128, 142, 133, 143)(130, 147, 159, 148)(136, 157, 160, 158)(140, 163, 151, 164)(144, 171, 152, 172)(145, 173, 149, 175)(146, 176, 150, 177)(153, 185, 155, 187)(154, 188, 156, 189)(161, 197, 165, 199)(162, 200, 166, 201)(167, 207, 169, 209)(168, 210, 170, 211)(174, 190, 183, 192)(178, 204, 184, 203)(179, 223, 181, 224)(180, 206, 182, 202)(186, 216, 191, 215)(193, 213, 195, 208)(194, 229, 196, 230)(198, 212, 205, 214)(217, 234, 218, 236)(219, 235, 221, 233)(220, 231, 222, 232)(225, 239, 226, 240)(227, 237, 228, 238)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 20^4 ), ( 20^5 ) }
Outer automorphisms :: reflexible
Dual of E28.2502
Transitivity :: ET+
Graph:: simple bipartite
	v = 54 e = 120 f = 12
	degree seq :: [ 4^30, 5^24 ]

E28.2499 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 5, 10})
Quotient :: edge
Aut^+ = SL(2,5) (small group id <120, 5>)
Aut   = SL(2,5) : C2 (small group id <240, 93>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^5, T2^2 * T1^-1 * T2^-1 * T1^-1 * T2^2, T2^2 * T1^-1 * T2 * T1^-1 * T2^2 * T1, T1 * T2 * T1^2 * T2 * T1 * T2^2, T2^-1 * T1^-2 * T2 * T1^-1 * T2 * T1^-2, T2 * T1 * T2^-1 * T1^2 * T2^-2 * T1^-2, T2^-1 * T1^-1 * T2^-1 * T1^2 * T2^-1 * T1^-1 * T2^-1 * T1 ]
Map:: non-degenerate
	R = (1, 3, 10, 30, 20, 59, 41, 51, 17, 5)(2, 7, 21, 61, 52, 48, 16, 46, 25, 8)(4, 12, 36, 28, 9, 27, 76, 101, 42, 14)(6, 18, 53, 84, 95, 71, 24, 69, 57, 19)(11, 32, 73, 81, 29, 68, 23, 67, 88, 34)(13, 38, 96, 90, 35, 77, 56, 107, 98, 39)(15, 44, 103, 94, 37, 58, 50, 108, 91, 45)(22, 63, 87, 114, 60, 47, 55, 80, 116, 65)(26, 74, 117, 104, 100, 40, 79, 118, 109, 75)(31, 83, 92, 106, 82, 110, 78, 72, 62, 49)(33, 86, 64, 105, 85, 99, 102, 43, 93, 66)(54, 89, 115, 119, 111, 70, 97, 113, 120, 112)(121, 122, 126, 133, 124)(123, 129, 146, 153, 131)(125, 135, 163, 167, 136)(127, 140, 178, 184, 142)(128, 143, 186, 190, 144)(130, 149, 200, 204, 151)(132, 155, 209, 213, 157)(134, 160, 219, 188, 161)(137, 169, 227, 229, 170)(138, 172, 152, 205, 174)(139, 175, 206, 220, 176)(141, 180, 233, 210, 182)(145, 192, 221, 214, 193)(147, 179, 168, 191, 197)(148, 198, 173, 231, 199)(150, 202, 216, 224, 164)(154, 207, 177, 230, 171)(156, 211, 187, 181, 212)(158, 215, 183, 222, 195)(159, 217, 225, 165, 196)(162, 203, 189, 232, 194)(166, 185, 235, 218, 226)(201, 228, 237, 239, 234)(208, 223, 238, 240, 236)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 8^5 ), ( 8^10 ) }
Outer automorphisms :: reflexible
Dual of E28.2503
Transitivity :: ET+
Graph:: simple bipartite
	v = 36 e = 120 f = 30
	degree seq :: [ 5^24, 10^12 ]

E28.2500 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 5, 10})
Quotient :: edge
Aut^+ = SL(2,5) (small group id <120, 5>)
Aut   = SL(2,5) : C2 (small group id <240, 93>)
|r| :: 2
Presentation :: [ F^2, T2^4, (F * T1)^2, (F * T2)^2, T2^-2 * T1 * T2^-2 * T1^-1, T1^-2 * T2^2 * T1^-3, T2 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2, T1 * T2 * T1^-2 * T2 * T1 * T2^-1 * T1^-2 * T2, T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1, T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 5)(2, 7, 21, 8)(4, 12, 28, 14)(6, 18, 35, 19)(9, 26, 15, 27)(11, 29, 16, 31)(13, 34, 17, 36)(20, 46, 23, 47)(22, 48, 24, 50)(25, 53, 39, 54)(30, 61, 40, 62)(32, 66, 37, 67)(33, 68, 38, 70)(41, 77, 43, 78)(42, 79, 44, 81)(45, 69, 51, 76)(49, 89, 52, 90)(55, 94, 57, 95)(56, 96, 58, 97)(59, 100, 63, 101)(60, 85, 64, 83)(65, 82, 75, 80)(71, 103, 73, 99)(72, 109, 74, 110)(84, 114, 86, 115)(87, 117, 91, 118)(88, 112, 92, 111)(93, 102, 98, 104)(105, 116, 106, 113)(107, 119, 108, 120)(121, 122, 126, 137, 148, 130, 141, 155, 133, 124)(123, 129, 145, 160, 136, 125, 135, 159, 150, 131)(127, 140, 165, 172, 144, 128, 143, 171, 169, 142)(132, 152, 185, 196, 158, 134, 157, 195, 189, 153)(138, 161, 182, 202, 164, 139, 163, 181, 200, 162)(146, 175, 213, 199, 178, 147, 177, 218, 201, 176)(149, 179, 219, 224, 184, 151, 183, 223, 222, 180)(154, 191, 209, 174, 194, 156, 193, 210, 173, 192)(166, 203, 233, 230, 206, 167, 205, 236, 229, 204)(168, 207, 187, 226, 212, 170, 211, 186, 225, 208)(188, 227, 197, 231, 215, 190, 228, 198, 232, 214)(216, 238, 221, 240, 235, 217, 237, 220, 239, 234)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 10^4 ), ( 10^10 ) }
Outer automorphisms :: reflexible
Dual of E28.2501
Transitivity :: ET+
Graph:: bipartite
	v = 42 e = 120 f = 24
	degree seq :: [ 4^30, 10^12 ]

E28.2501 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 5, 10})
Quotient :: loop
Aut^+ = SL(2,5) (small group id <120, 5>)
Aut   = SL(2,5) : C2 (small group id <240, 93>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T1)^2, (F * T2)^2, T2^5, T1^-1 * T2^-1 * T1^2 * T2 * T1^-1, T1 * T2^2 * T1 * T2^2 * T1^-1 * T2^2, T2^-1 * T1^-1 * T2^2 * T1 * T2^-1 * T1^-1 * T2^2 * T1^-1, T2^2 * T1^-1 * T2^-1 * T1 * T2^2 * T1^-1 * T2^-1 * T1^-1, T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1, T2^-1 * T1^-1 * T2^2 * T1 * T2^-1 * T1 * T2^2 * T1, T2^-1 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2 * T1 * T2^-1 * T1^-1, (T2^-1 * T1^-1)^10 ]
Map:: polytopal non-degenerate
	R = (1, 121, 3, 123, 10, 130, 16, 136, 5, 125)(2, 122, 7, 127, 20, 140, 24, 144, 8, 128)(4, 124, 12, 132, 31, 151, 32, 152, 13, 133)(6, 126, 17, 137, 39, 159, 40, 160, 18, 138)(9, 129, 25, 145, 54, 174, 58, 178, 26, 146)(11, 131, 29, 149, 63, 183, 64, 184, 30, 150)(14, 134, 33, 153, 66, 186, 70, 190, 34, 154)(15, 135, 35, 155, 71, 191, 72, 192, 36, 156)(19, 139, 41, 161, 78, 198, 82, 202, 42, 162)(21, 141, 45, 165, 85, 205, 86, 206, 46, 166)(22, 142, 47, 167, 88, 208, 92, 212, 48, 168)(23, 143, 49, 169, 93, 213, 94, 214, 50, 170)(27, 147, 59, 179, 52, 172, 96, 216, 60, 180)(28, 148, 61, 181, 51, 171, 95, 215, 62, 182)(37, 157, 73, 193, 83, 203, 43, 163, 74, 194)(38, 158, 75, 195, 84, 204, 44, 164, 76, 196)(53, 173, 90, 210, 119, 239, 110, 230, 97, 217)(55, 175, 91, 211, 120, 240, 109, 229, 98, 218)(56, 176, 99, 219, 67, 187, 106, 226, 100, 220)(57, 177, 101, 221, 65, 185, 105, 225, 102, 222)(68, 188, 107, 227, 104, 224, 112, 232, 79, 199)(69, 189, 108, 228, 103, 223, 111, 231, 77, 197)(80, 200, 113, 233, 89, 209, 118, 238, 114, 234)(81, 201, 115, 235, 87, 207, 117, 237, 116, 236)
	L = (1, 122)(2, 126)(3, 129)(4, 121)(5, 134)(6, 124)(7, 139)(8, 142)(9, 137)(10, 147)(11, 123)(12, 141)(13, 143)(14, 138)(15, 125)(16, 157)(17, 131)(18, 135)(19, 132)(20, 163)(21, 127)(22, 133)(23, 128)(24, 171)(25, 173)(26, 176)(27, 159)(28, 130)(29, 175)(30, 177)(31, 164)(32, 172)(33, 185)(34, 188)(35, 187)(36, 189)(37, 160)(38, 136)(39, 148)(40, 158)(41, 197)(42, 200)(43, 151)(44, 140)(45, 199)(46, 201)(47, 207)(48, 210)(49, 209)(50, 211)(51, 152)(52, 144)(53, 149)(54, 190)(55, 145)(56, 150)(57, 146)(58, 204)(59, 223)(60, 206)(61, 224)(62, 202)(63, 192)(64, 203)(65, 155)(66, 216)(67, 153)(68, 156)(69, 154)(70, 183)(71, 215)(72, 174)(73, 213)(74, 229)(75, 208)(76, 230)(77, 165)(78, 212)(79, 161)(80, 166)(81, 162)(82, 180)(83, 178)(84, 184)(85, 214)(86, 182)(87, 169)(88, 193)(89, 167)(90, 170)(91, 168)(92, 205)(93, 195)(94, 198)(95, 186)(96, 191)(97, 234)(98, 236)(99, 235)(100, 231)(101, 233)(102, 232)(103, 181)(104, 179)(105, 239)(106, 240)(107, 237)(108, 238)(109, 196)(110, 194)(111, 222)(112, 220)(113, 219)(114, 218)(115, 221)(116, 217)(117, 228)(118, 227)(119, 226)(120, 225)
	local type(s) :: { ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E28.2500
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 24 e = 120 f = 42
	degree seq :: [ 10^24 ]

E28.2502 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 5, 10})
Quotient :: loop
Aut^+ = SL(2,5) (small group id <120, 5>)
Aut   = SL(2,5) : C2 (small group id <240, 93>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^5, T2^2 * T1^-1 * T2^-1 * T1^-1 * T2^2, T2^2 * T1^-1 * T2 * T1^-1 * T2^2 * T1, T1 * T2 * T1^2 * T2 * T1 * T2^2, T2^-1 * T1^-2 * T2 * T1^-1 * T2 * T1^-2, T2 * T1 * T2^-1 * T1^2 * T2^-2 * T1^-2, T2^-1 * T1^-1 * T2^-1 * T1^2 * T2^-1 * T1^-1 * T2^-1 * T1 ]
Map:: non-degenerate
	R = (1, 121, 3, 123, 10, 130, 30, 150, 20, 140, 59, 179, 41, 161, 51, 171, 17, 137, 5, 125)(2, 122, 7, 127, 21, 141, 61, 181, 52, 172, 48, 168, 16, 136, 46, 166, 25, 145, 8, 128)(4, 124, 12, 132, 36, 156, 28, 148, 9, 129, 27, 147, 76, 196, 101, 221, 42, 162, 14, 134)(6, 126, 18, 138, 53, 173, 84, 204, 95, 215, 71, 191, 24, 144, 69, 189, 57, 177, 19, 139)(11, 131, 32, 152, 73, 193, 81, 201, 29, 149, 68, 188, 23, 143, 67, 187, 88, 208, 34, 154)(13, 133, 38, 158, 96, 216, 90, 210, 35, 155, 77, 197, 56, 176, 107, 227, 98, 218, 39, 159)(15, 135, 44, 164, 103, 223, 94, 214, 37, 157, 58, 178, 50, 170, 108, 228, 91, 211, 45, 165)(22, 142, 63, 183, 87, 207, 114, 234, 60, 180, 47, 167, 55, 175, 80, 200, 116, 236, 65, 185)(26, 146, 74, 194, 117, 237, 104, 224, 100, 220, 40, 160, 79, 199, 118, 238, 109, 229, 75, 195)(31, 151, 83, 203, 92, 212, 106, 226, 82, 202, 110, 230, 78, 198, 72, 192, 62, 182, 49, 169)(33, 153, 86, 206, 64, 184, 105, 225, 85, 205, 99, 219, 102, 222, 43, 163, 93, 213, 66, 186)(54, 174, 89, 209, 115, 235, 119, 239, 111, 231, 70, 190, 97, 217, 113, 233, 120, 240, 112, 232)
	L = (1, 122)(2, 126)(3, 129)(4, 121)(5, 135)(6, 133)(7, 140)(8, 143)(9, 146)(10, 149)(11, 123)(12, 155)(13, 124)(14, 160)(15, 163)(16, 125)(17, 169)(18, 172)(19, 175)(20, 178)(21, 180)(22, 127)(23, 186)(24, 128)(25, 192)(26, 153)(27, 179)(28, 198)(29, 200)(30, 202)(31, 130)(32, 205)(33, 131)(34, 207)(35, 209)(36, 211)(37, 132)(38, 215)(39, 217)(40, 219)(41, 134)(42, 203)(43, 167)(44, 150)(45, 196)(46, 185)(47, 136)(48, 191)(49, 227)(50, 137)(51, 154)(52, 152)(53, 231)(54, 138)(55, 206)(56, 139)(57, 230)(58, 184)(59, 168)(60, 233)(61, 212)(62, 141)(63, 222)(64, 142)(65, 235)(66, 190)(67, 181)(68, 161)(69, 232)(70, 144)(71, 197)(72, 221)(73, 145)(74, 162)(75, 158)(76, 159)(77, 147)(78, 173)(79, 148)(80, 204)(81, 228)(82, 216)(83, 189)(84, 151)(85, 174)(86, 220)(87, 177)(88, 223)(89, 213)(90, 182)(91, 187)(92, 156)(93, 157)(94, 193)(95, 183)(96, 224)(97, 225)(98, 226)(99, 188)(100, 176)(101, 214)(102, 195)(103, 238)(104, 164)(105, 165)(106, 166)(107, 229)(108, 237)(109, 170)(110, 171)(111, 199)(112, 194)(113, 210)(114, 201)(115, 218)(116, 208)(117, 239)(118, 240)(119, 234)(120, 236)
	local type(s) :: { ( 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5 ) }
Outer automorphisms :: reflexible
Dual of E28.2498
Transitivity :: ET+ VT+ AT
Graph::
	v = 12 e = 120 f = 54
	degree seq :: [ 20^12 ]

E28.2503 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 5, 10})
Quotient :: loop
Aut^+ = SL(2,5) (small group id <120, 5>)
Aut   = SL(2,5) : C2 (small group id <240, 93>)
|r| :: 2
Presentation :: [ F^2, T2^4, (F * T1)^2, (F * T2)^2, T2^-2 * T1 * T2^-2 * T1^-1, T1^-2 * T2^2 * T1^-3, T2 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2, T1 * T2 * T1^-2 * T2 * T1 * T2^-1 * T1^-2 * T2, T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1, T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 121, 3, 123, 10, 130, 5, 125)(2, 122, 7, 127, 21, 141, 8, 128)(4, 124, 12, 132, 28, 148, 14, 134)(6, 126, 18, 138, 35, 155, 19, 139)(9, 129, 26, 146, 15, 135, 27, 147)(11, 131, 29, 149, 16, 136, 31, 151)(13, 133, 34, 154, 17, 137, 36, 156)(20, 140, 46, 166, 23, 143, 47, 167)(22, 142, 48, 168, 24, 144, 50, 170)(25, 145, 53, 173, 39, 159, 54, 174)(30, 150, 61, 181, 40, 160, 62, 182)(32, 152, 66, 186, 37, 157, 67, 187)(33, 153, 68, 188, 38, 158, 70, 190)(41, 161, 77, 197, 43, 163, 78, 198)(42, 162, 79, 199, 44, 164, 81, 201)(45, 165, 69, 189, 51, 171, 76, 196)(49, 169, 89, 209, 52, 172, 90, 210)(55, 175, 94, 214, 57, 177, 95, 215)(56, 176, 96, 216, 58, 178, 97, 217)(59, 179, 100, 220, 63, 183, 101, 221)(60, 180, 85, 205, 64, 184, 83, 203)(65, 185, 82, 202, 75, 195, 80, 200)(71, 191, 103, 223, 73, 193, 99, 219)(72, 192, 109, 229, 74, 194, 110, 230)(84, 204, 114, 234, 86, 206, 115, 235)(87, 207, 117, 237, 91, 211, 118, 238)(88, 208, 112, 232, 92, 212, 111, 231)(93, 213, 102, 222, 98, 218, 104, 224)(105, 225, 116, 236, 106, 226, 113, 233)(107, 227, 119, 239, 108, 228, 120, 240)
	L = (1, 122)(2, 126)(3, 129)(4, 121)(5, 135)(6, 137)(7, 140)(8, 143)(9, 145)(10, 141)(11, 123)(12, 152)(13, 124)(14, 157)(15, 159)(16, 125)(17, 148)(18, 161)(19, 163)(20, 165)(21, 155)(22, 127)(23, 171)(24, 128)(25, 160)(26, 175)(27, 177)(28, 130)(29, 179)(30, 131)(31, 183)(32, 185)(33, 132)(34, 191)(35, 133)(36, 193)(37, 195)(38, 134)(39, 150)(40, 136)(41, 182)(42, 138)(43, 181)(44, 139)(45, 172)(46, 203)(47, 205)(48, 207)(49, 142)(50, 211)(51, 169)(52, 144)(53, 192)(54, 194)(55, 213)(56, 146)(57, 218)(58, 147)(59, 219)(60, 149)(61, 200)(62, 202)(63, 223)(64, 151)(65, 196)(66, 225)(67, 226)(68, 227)(69, 153)(70, 228)(71, 209)(72, 154)(73, 210)(74, 156)(75, 189)(76, 158)(77, 231)(78, 232)(79, 178)(80, 162)(81, 176)(82, 164)(83, 233)(84, 166)(85, 236)(86, 167)(87, 187)(88, 168)(89, 174)(90, 173)(91, 186)(92, 170)(93, 199)(94, 188)(95, 190)(96, 238)(97, 237)(98, 201)(99, 224)(100, 239)(101, 240)(102, 180)(103, 222)(104, 184)(105, 208)(106, 212)(107, 197)(108, 198)(109, 204)(110, 206)(111, 215)(112, 214)(113, 230)(114, 216)(115, 217)(116, 229)(117, 220)(118, 221)(119, 234)(120, 235)
	local type(s) :: { ( 5, 10, 5, 10, 5, 10, 5, 10 ) }
Outer automorphisms :: reflexible
Dual of E28.2499
Transitivity :: ET+ VT+ AT
Graph::
	v = 30 e = 120 f = 36
	degree seq :: [ 8^30 ]

E28.2504 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 5, 10})
Quotient :: dipole
Aut^+ = SL(2,5) (small group id <120, 5>)
Aut   = SL(2,5) : C2 (small group id <240, 93>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y1^-2 * Y3^2, Y1^4, (R * Y1)^2, (Y1 * Y3^-1)^2, (R * Y3)^2, Y2^5, (R * Y2 * Y3^-1)^2, Y1 * Y2 * Y1^-1 * Y3 * Y2^-1 * Y3^-1, Y2 * Y1^-2 * Y2^-1 * Y1^-2, Y2 * Y3^2 * Y2^-2 * Y3^-2 * Y2, (Y1 * Y2^2 * R)^2, Y2^2 * Y1^-1 * Y2^2 * Y3^-1 * Y2^2 * Y1, Y1 * Y2^2 * Y3^-1 * Y2^2 * Y3 * Y2^2, Y2 * Y1 * Y2^-1 * Y3 * Y2^2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2, Y2^-1 * Y1 * Y2 * R * Y2^2 * Y3 * Y2^-1 * R * Y2^-1, Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2, Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^2 * Y3^-1 * Y2^-1 * Y1 * Y2, Y2^-1 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y3^-2 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1, Y2^-1 * Y1^-1 * Y2 * Y3 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 ]
Map::
	R = (1, 121, 2, 122, 6, 126, 4, 124)(3, 123, 9, 129, 17, 137, 11, 131)(5, 125, 14, 134, 18, 138, 15, 135)(7, 127, 19, 139, 12, 132, 21, 141)(8, 128, 22, 142, 13, 133, 23, 143)(10, 130, 27, 147, 39, 159, 28, 148)(16, 136, 37, 157, 40, 160, 38, 158)(20, 140, 43, 163, 31, 151, 44, 164)(24, 144, 51, 171, 32, 152, 52, 172)(25, 145, 53, 173, 29, 149, 55, 175)(26, 146, 56, 176, 30, 150, 57, 177)(33, 153, 65, 185, 35, 155, 67, 187)(34, 154, 68, 188, 36, 156, 69, 189)(41, 161, 77, 197, 45, 165, 79, 199)(42, 162, 80, 200, 46, 166, 81, 201)(47, 167, 87, 207, 49, 169, 89, 209)(48, 168, 90, 210, 50, 170, 91, 211)(54, 174, 70, 190, 63, 183, 72, 192)(58, 178, 84, 204, 64, 184, 83, 203)(59, 179, 103, 223, 61, 181, 104, 224)(60, 180, 86, 206, 62, 182, 82, 202)(66, 186, 96, 216, 71, 191, 95, 215)(73, 193, 93, 213, 75, 195, 88, 208)(74, 194, 109, 229, 76, 196, 110, 230)(78, 198, 92, 212, 85, 205, 94, 214)(97, 217, 114, 234, 98, 218, 116, 236)(99, 219, 115, 235, 101, 221, 113, 233)(100, 220, 111, 231, 102, 222, 112, 232)(105, 225, 119, 239, 106, 226, 120, 240)(107, 227, 117, 237, 108, 228, 118, 238)(241, 361, 243, 363, 250, 370, 256, 376, 245, 365)(242, 362, 247, 367, 260, 380, 264, 384, 248, 368)(244, 364, 252, 372, 271, 391, 272, 392, 253, 373)(246, 366, 257, 377, 279, 399, 280, 400, 258, 378)(249, 369, 265, 385, 294, 414, 298, 418, 266, 386)(251, 371, 269, 389, 303, 423, 304, 424, 270, 390)(254, 374, 273, 393, 306, 426, 310, 430, 274, 394)(255, 375, 275, 395, 311, 431, 312, 432, 276, 396)(259, 379, 281, 401, 318, 438, 322, 442, 282, 402)(261, 381, 285, 405, 325, 445, 326, 446, 286, 406)(262, 382, 287, 407, 328, 448, 332, 452, 288, 408)(263, 383, 289, 409, 333, 453, 334, 454, 290, 410)(267, 387, 299, 419, 292, 412, 336, 456, 300, 420)(268, 388, 301, 421, 291, 411, 335, 455, 302, 422)(277, 397, 313, 433, 323, 443, 283, 403, 314, 434)(278, 398, 315, 435, 324, 444, 284, 404, 316, 436)(293, 413, 330, 450, 359, 479, 350, 470, 337, 457)(295, 415, 331, 451, 360, 480, 349, 469, 338, 458)(296, 416, 339, 459, 307, 427, 346, 466, 340, 460)(297, 417, 341, 461, 305, 425, 345, 465, 342, 462)(308, 428, 347, 467, 344, 464, 352, 472, 319, 439)(309, 429, 348, 468, 343, 463, 351, 471, 317, 437)(320, 440, 353, 473, 329, 449, 358, 478, 354, 474)(321, 441, 355, 475, 327, 447, 357, 477, 356, 476)
	L = (1, 244)(2, 241)(3, 251)(4, 246)(5, 255)(6, 242)(7, 261)(8, 263)(9, 243)(10, 268)(11, 257)(12, 259)(13, 262)(14, 245)(15, 258)(16, 278)(17, 249)(18, 254)(19, 247)(20, 284)(21, 252)(22, 248)(23, 253)(24, 292)(25, 295)(26, 297)(27, 250)(28, 279)(29, 293)(30, 296)(31, 283)(32, 291)(33, 307)(34, 309)(35, 305)(36, 308)(37, 256)(38, 280)(39, 267)(40, 277)(41, 319)(42, 321)(43, 260)(44, 271)(45, 317)(46, 320)(47, 329)(48, 331)(49, 327)(50, 330)(51, 264)(52, 272)(53, 265)(54, 312)(55, 269)(56, 266)(57, 270)(58, 323)(59, 344)(60, 322)(61, 343)(62, 326)(63, 310)(64, 324)(65, 273)(66, 335)(67, 275)(68, 274)(69, 276)(70, 294)(71, 336)(72, 303)(73, 328)(74, 350)(75, 333)(76, 349)(77, 281)(78, 334)(79, 285)(80, 282)(81, 286)(82, 302)(83, 304)(84, 298)(85, 332)(86, 300)(87, 287)(88, 315)(89, 289)(90, 288)(91, 290)(92, 318)(93, 313)(94, 325)(95, 311)(96, 306)(97, 356)(98, 354)(99, 353)(100, 352)(101, 355)(102, 351)(103, 299)(104, 301)(105, 360)(106, 359)(107, 358)(108, 357)(109, 314)(110, 316)(111, 340)(112, 342)(113, 341)(114, 337)(115, 339)(116, 338)(117, 347)(118, 348)(119, 345)(120, 346)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 2, 20, 2, 20, 2, 20, 2, 20 ), ( 2, 20, 2, 20, 2, 20, 2, 20, 2, 20 ) }
Outer automorphisms :: reflexible
Dual of E28.2507
Graph:: bipartite
	v = 54 e = 240 f = 132
	degree seq :: [ 8^30, 10^24 ]

E28.2505 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 5, 10})
Quotient :: dipole
Aut^+ = SL(2,5) (small group id <120, 5>)
Aut   = SL(2,5) : C2 (small group id <240, 93>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^5, Y2^2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^2, Y2^2 * Y1^-1 * Y2 * Y1^-1 * Y2^2 * Y1, Y1 * Y2 * Y1^2 * Y2 * Y1 * Y2^2, (Y3^-1 * Y1^-1)^4, Y2 * Y1^-1 * Y2 * Y1^-2 * Y2^-1 * Y1^-2, Y2 * Y1 * Y2^-1 * Y1^2 * Y2^-2 * Y1^-2, Y1^-1 * Y2^-2 * Y1^2 * Y2^-1 * Y1 * Y2 * Y1^-1, Y1^2 * Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 ]
Map::
	R = (1, 121, 2, 122, 6, 126, 13, 133, 4, 124)(3, 123, 9, 129, 26, 146, 33, 153, 11, 131)(5, 125, 15, 135, 43, 163, 47, 167, 16, 136)(7, 127, 20, 140, 58, 178, 64, 184, 22, 142)(8, 128, 23, 143, 66, 186, 70, 190, 24, 144)(10, 130, 29, 149, 80, 200, 84, 204, 31, 151)(12, 132, 35, 155, 89, 209, 93, 213, 37, 157)(14, 134, 40, 160, 99, 219, 68, 188, 41, 161)(17, 137, 49, 169, 107, 227, 109, 229, 50, 170)(18, 138, 52, 172, 32, 152, 85, 205, 54, 174)(19, 139, 55, 175, 86, 206, 100, 220, 56, 176)(21, 141, 60, 180, 113, 233, 90, 210, 62, 182)(25, 145, 72, 192, 101, 221, 94, 214, 73, 193)(27, 147, 59, 179, 48, 168, 71, 191, 77, 197)(28, 148, 78, 198, 53, 173, 111, 231, 79, 199)(30, 150, 82, 202, 96, 216, 104, 224, 44, 164)(34, 154, 87, 207, 57, 177, 110, 230, 51, 171)(36, 156, 91, 211, 67, 187, 61, 181, 92, 212)(38, 158, 95, 215, 63, 183, 102, 222, 75, 195)(39, 159, 97, 217, 105, 225, 45, 165, 76, 196)(42, 162, 83, 203, 69, 189, 112, 232, 74, 194)(46, 166, 65, 185, 115, 235, 98, 218, 106, 226)(81, 201, 108, 228, 117, 237, 119, 239, 114, 234)(88, 208, 103, 223, 118, 238, 120, 240, 116, 236)(241, 361, 243, 363, 250, 370, 270, 390, 260, 380, 299, 419, 281, 401, 291, 411, 257, 377, 245, 365)(242, 362, 247, 367, 261, 381, 301, 421, 292, 412, 288, 408, 256, 376, 286, 406, 265, 385, 248, 368)(244, 364, 252, 372, 276, 396, 268, 388, 249, 369, 267, 387, 316, 436, 341, 461, 282, 402, 254, 374)(246, 366, 258, 378, 293, 413, 324, 444, 335, 455, 311, 431, 264, 384, 309, 429, 297, 417, 259, 379)(251, 371, 272, 392, 313, 433, 321, 441, 269, 389, 308, 428, 263, 383, 307, 427, 328, 448, 274, 394)(253, 373, 278, 398, 336, 456, 330, 450, 275, 395, 317, 437, 296, 416, 347, 467, 338, 458, 279, 399)(255, 375, 284, 404, 343, 463, 334, 454, 277, 397, 298, 418, 290, 410, 348, 468, 331, 451, 285, 405)(262, 382, 303, 423, 327, 447, 354, 474, 300, 420, 287, 407, 295, 415, 320, 440, 356, 476, 305, 425)(266, 386, 314, 434, 357, 477, 344, 464, 340, 460, 280, 400, 319, 439, 358, 478, 349, 469, 315, 435)(271, 391, 323, 443, 332, 452, 346, 466, 322, 442, 350, 470, 318, 438, 312, 432, 302, 422, 289, 409)(273, 393, 326, 446, 304, 424, 345, 465, 325, 445, 339, 459, 342, 462, 283, 403, 333, 453, 306, 426)(294, 414, 329, 449, 355, 475, 359, 479, 351, 471, 310, 430, 337, 457, 353, 473, 360, 480, 352, 472)
	L = (1, 243)(2, 247)(3, 250)(4, 252)(5, 241)(6, 258)(7, 261)(8, 242)(9, 267)(10, 270)(11, 272)(12, 276)(13, 278)(14, 244)(15, 284)(16, 286)(17, 245)(18, 293)(19, 246)(20, 299)(21, 301)(22, 303)(23, 307)(24, 309)(25, 248)(26, 314)(27, 316)(28, 249)(29, 308)(30, 260)(31, 323)(32, 313)(33, 326)(34, 251)(35, 317)(36, 268)(37, 298)(38, 336)(39, 253)(40, 319)(41, 291)(42, 254)(43, 333)(44, 343)(45, 255)(46, 265)(47, 295)(48, 256)(49, 271)(50, 348)(51, 257)(52, 288)(53, 324)(54, 329)(55, 320)(56, 347)(57, 259)(58, 290)(59, 281)(60, 287)(61, 292)(62, 289)(63, 327)(64, 345)(65, 262)(66, 273)(67, 328)(68, 263)(69, 297)(70, 337)(71, 264)(72, 302)(73, 321)(74, 357)(75, 266)(76, 341)(77, 296)(78, 312)(79, 358)(80, 356)(81, 269)(82, 350)(83, 332)(84, 335)(85, 339)(86, 304)(87, 354)(88, 274)(89, 355)(90, 275)(91, 285)(92, 346)(93, 306)(94, 277)(95, 311)(96, 330)(97, 353)(98, 279)(99, 342)(100, 280)(101, 282)(102, 283)(103, 334)(104, 340)(105, 325)(106, 322)(107, 338)(108, 331)(109, 315)(110, 318)(111, 310)(112, 294)(113, 360)(114, 300)(115, 359)(116, 305)(117, 344)(118, 349)(119, 351)(120, 352)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.2506
Graph:: bipartite
	v = 36 e = 240 f = 150
	degree seq :: [ 10^24, 20^12 ]

E28.2506 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 5, 10})
Quotient :: dipole
Aut^+ = SL(2,5) (small group id <120, 5>)
Aut   = SL(2,5) : C2 (small group id <240, 93>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^4, (R * Y3)^2, (R * Y1)^2, Y2 * Y3^-1 * Y2^2 * Y3 * Y2, (Y2^-1 * R * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y3^-5 * Y2^2, (Y3^-2 * Y2^-1)^3, Y3 * Y2 * Y3^-2 * Y2 * Y3 * Y2 * Y3^-2 * Y2^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3^-2 * Y2 * Y3 * Y2^-1 * Y3^-1, Y3 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, (Y3^-1 * Y1^-1)^10 ]
Map::
	R = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)(241, 361, 242, 362, 246, 366, 244, 364)(243, 363, 249, 369, 257, 377, 251, 371)(245, 365, 254, 374, 258, 378, 255, 375)(247, 367, 259, 379, 252, 372, 261, 381)(248, 368, 262, 382, 253, 373, 263, 383)(250, 370, 267, 387, 280, 400, 269, 389)(256, 376, 278, 398, 268, 388, 279, 399)(260, 380, 283, 403, 272, 392, 284, 404)(264, 384, 291, 411, 273, 393, 292, 412)(265, 385, 293, 413, 270, 390, 295, 415)(266, 386, 296, 416, 271, 391, 297, 417)(274, 394, 305, 425, 276, 396, 307, 427)(275, 395, 308, 428, 277, 397, 309, 429)(281, 401, 317, 437, 285, 405, 319, 439)(282, 402, 320, 440, 286, 406, 321, 441)(287, 407, 327, 447, 289, 409, 329, 449)(288, 408, 330, 450, 290, 410, 331, 451)(294, 414, 312, 432, 303, 423, 310, 430)(298, 418, 324, 444, 304, 424, 323, 443)(299, 419, 343, 463, 301, 421, 344, 464)(300, 420, 326, 446, 302, 422, 322, 442)(306, 426, 336, 456, 311, 431, 335, 455)(313, 433, 333, 453, 315, 435, 328, 448)(314, 434, 349, 469, 316, 436, 350, 470)(318, 438, 334, 454, 325, 445, 332, 452)(337, 457, 354, 474, 338, 458, 356, 476)(339, 459, 355, 475, 341, 461, 353, 473)(340, 460, 351, 471, 342, 462, 352, 472)(345, 465, 359, 479, 346, 466, 360, 480)(347, 467, 357, 477, 348, 468, 358, 478)
	L = (1, 243)(2, 247)(3, 250)(4, 252)(5, 241)(6, 257)(7, 260)(8, 242)(9, 265)(10, 268)(11, 270)(12, 272)(13, 244)(14, 274)(15, 276)(16, 245)(17, 280)(18, 246)(19, 281)(20, 273)(21, 285)(22, 287)(23, 289)(24, 248)(25, 294)(26, 249)(27, 299)(28, 258)(29, 301)(30, 303)(31, 251)(32, 264)(33, 253)(34, 306)(35, 254)(36, 311)(37, 255)(38, 313)(39, 315)(40, 256)(41, 318)(42, 259)(43, 316)(44, 314)(45, 325)(46, 261)(47, 328)(48, 262)(49, 333)(50, 263)(51, 335)(52, 336)(53, 330)(54, 304)(55, 331)(56, 339)(57, 341)(58, 266)(59, 291)(60, 267)(61, 292)(62, 269)(63, 298)(64, 271)(65, 345)(66, 312)(67, 346)(68, 347)(69, 348)(70, 275)(71, 310)(72, 277)(73, 323)(74, 278)(75, 324)(76, 279)(77, 309)(78, 326)(79, 308)(80, 353)(81, 355)(82, 282)(83, 283)(84, 284)(85, 322)(86, 286)(87, 357)(88, 334)(89, 358)(90, 359)(91, 360)(92, 288)(93, 332)(94, 290)(95, 302)(96, 300)(97, 293)(98, 295)(99, 307)(100, 296)(101, 305)(102, 297)(103, 351)(104, 352)(105, 340)(106, 342)(107, 343)(108, 344)(109, 337)(110, 338)(111, 317)(112, 319)(113, 329)(114, 320)(115, 327)(116, 321)(117, 354)(118, 356)(119, 350)(120, 349)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 10, 20 ), ( 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E28.2505
Graph:: simple bipartite
	v = 150 e = 240 f = 36
	degree seq :: [ 2^120, 8^30 ]

E28.2507 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 5, 10})
Quotient :: dipole
Aut^+ = SL(2,5) (small group id <120, 5>)
Aut   = SL(2,5) : C2 (small group id <240, 93>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, (R * Y1)^2, (R * Y3)^2, Y3^-2 * Y1 * Y3^-2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1 * Y3^-2 * Y1^4, (Y3 * Y2^-1)^4, Y3 * Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2, Y1 * Y3 * Y1^-2 * Y3 * Y1 * Y3^-1 * Y1^-2 * Y3, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 ]
Map::
	R = (1, 121, 2, 122, 6, 126, 17, 137, 28, 148, 10, 130, 21, 141, 35, 155, 13, 133, 4, 124)(3, 123, 9, 129, 25, 145, 40, 160, 16, 136, 5, 125, 15, 135, 39, 159, 30, 150, 11, 131)(7, 127, 20, 140, 45, 165, 52, 172, 24, 144, 8, 128, 23, 143, 51, 171, 49, 169, 22, 142)(12, 132, 32, 152, 65, 185, 76, 196, 38, 158, 14, 134, 37, 157, 75, 195, 69, 189, 33, 153)(18, 138, 41, 161, 62, 182, 82, 202, 44, 164, 19, 139, 43, 163, 61, 181, 80, 200, 42, 162)(26, 146, 55, 175, 93, 213, 79, 199, 58, 178, 27, 147, 57, 177, 98, 218, 81, 201, 56, 176)(29, 149, 59, 179, 99, 219, 104, 224, 64, 184, 31, 151, 63, 183, 103, 223, 102, 222, 60, 180)(34, 154, 71, 191, 89, 209, 54, 174, 74, 194, 36, 156, 73, 193, 90, 210, 53, 173, 72, 192)(46, 166, 83, 203, 113, 233, 110, 230, 86, 206, 47, 167, 85, 205, 116, 236, 109, 229, 84, 204)(48, 168, 87, 207, 67, 187, 106, 226, 92, 212, 50, 170, 91, 211, 66, 186, 105, 225, 88, 208)(68, 188, 107, 227, 77, 197, 111, 231, 95, 215, 70, 190, 108, 228, 78, 198, 112, 232, 94, 214)(96, 216, 118, 238, 101, 221, 120, 240, 115, 235, 97, 217, 117, 237, 100, 220, 119, 239, 114, 234)(241, 361)(242, 362)(243, 363)(244, 364)(245, 365)(246, 366)(247, 367)(248, 368)(249, 369)(250, 370)(251, 371)(252, 372)(253, 373)(254, 374)(255, 375)(256, 376)(257, 377)(258, 378)(259, 379)(260, 380)(261, 381)(262, 382)(263, 383)(264, 384)(265, 385)(266, 386)(267, 387)(268, 388)(269, 389)(270, 390)(271, 391)(272, 392)(273, 393)(274, 394)(275, 395)(276, 396)(277, 397)(278, 398)(279, 399)(280, 400)(281, 401)(282, 402)(283, 403)(284, 404)(285, 405)(286, 406)(287, 407)(288, 408)(289, 409)(290, 410)(291, 411)(292, 412)(293, 413)(294, 414)(295, 415)(296, 416)(297, 417)(298, 418)(299, 419)(300, 420)(301, 421)(302, 422)(303, 423)(304, 424)(305, 425)(306, 426)(307, 427)(308, 428)(309, 429)(310, 430)(311, 431)(312, 432)(313, 433)(314, 434)(315, 435)(316, 436)(317, 437)(318, 438)(319, 439)(320, 440)(321, 441)(322, 442)(323, 443)(324, 444)(325, 445)(326, 446)(327, 447)(328, 448)(329, 449)(330, 450)(331, 451)(332, 452)(333, 453)(334, 454)(335, 455)(336, 456)(337, 457)(338, 458)(339, 459)(340, 460)(341, 461)(342, 462)(343, 463)(344, 464)(345, 465)(346, 466)(347, 467)(348, 468)(349, 469)(350, 470)(351, 471)(352, 472)(353, 473)(354, 474)(355, 475)(356, 476)(357, 477)(358, 478)(359, 479)(360, 480)
	L = (1, 243)(2, 247)(3, 250)(4, 252)(5, 241)(6, 258)(7, 261)(8, 242)(9, 266)(10, 245)(11, 269)(12, 268)(13, 274)(14, 244)(15, 267)(16, 271)(17, 276)(18, 275)(19, 246)(20, 286)(21, 248)(22, 288)(23, 287)(24, 290)(25, 293)(26, 255)(27, 249)(28, 254)(29, 256)(30, 301)(31, 251)(32, 306)(33, 308)(34, 257)(35, 259)(36, 253)(37, 307)(38, 310)(39, 294)(40, 302)(41, 317)(42, 319)(43, 318)(44, 321)(45, 309)(46, 263)(47, 260)(48, 264)(49, 329)(50, 262)(51, 316)(52, 330)(53, 279)(54, 265)(55, 334)(56, 336)(57, 335)(58, 337)(59, 340)(60, 325)(61, 280)(62, 270)(63, 341)(64, 323)(65, 322)(66, 277)(67, 272)(68, 278)(69, 291)(70, 273)(71, 343)(72, 349)(73, 339)(74, 350)(75, 320)(76, 285)(77, 283)(78, 281)(79, 284)(80, 305)(81, 282)(82, 315)(83, 300)(84, 354)(85, 304)(86, 355)(87, 357)(88, 352)(89, 292)(90, 289)(91, 358)(92, 351)(93, 342)(94, 297)(95, 295)(96, 298)(97, 296)(98, 344)(99, 311)(100, 303)(101, 299)(102, 338)(103, 313)(104, 333)(105, 356)(106, 353)(107, 359)(108, 360)(109, 314)(110, 312)(111, 328)(112, 332)(113, 345)(114, 326)(115, 324)(116, 346)(117, 331)(118, 327)(119, 348)(120, 347)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 8, 10 ), ( 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10 ) }
Outer automorphisms :: reflexible
Dual of E28.2504
Graph:: simple bipartite
	v = 132 e = 240 f = 54
	degree seq :: [ 2^120, 20^12 ]

E28.2508 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 5, 10})
Quotient :: dipole
Aut^+ = SL(2,5) (small group id <120, 5>)
Aut   = SL(2,5) : C2 (small group id <240, 93>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y3^4, (R * Y1)^2, (R * Y3)^2, Y3^-2 * Y1^2, Y2^-1 * Y3 * Y1^-1 * Y2 * Y3^-1 * Y1, Y2 * Y3^2 * Y2^-1 * Y1^-2, (R * Y2 * Y3^-1)^2, Y1 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y3^-1, Y2^-4 * Y1^-1 * Y3 * Y2^-1, R * Y2^2 * R * Y1 * Y2^2 * Y1^-1, Y3 * Y2^-2 * Y1 * Y2^-2 * Y1^-1 * Y2^-2, Y2^2 * Y1 * Y2^-1 * Y3 * Y2^2 * Y3^-1 * Y2^-1 * Y3^-1, Y2 * Y3 * Y2^-2 * Y1 * Y2 * Y1^-1 * Y2^-2 * Y1^-1, (Y3 * Y2^-1)^5, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1, Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y3 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map::
	R = (1, 121, 2, 122, 6, 126, 4, 124)(3, 123, 9, 129, 17, 137, 11, 131)(5, 125, 14, 134, 18, 138, 15, 135)(7, 127, 19, 139, 12, 132, 21, 141)(8, 128, 22, 142, 13, 133, 23, 143)(10, 130, 27, 147, 40, 160, 29, 149)(16, 136, 38, 158, 28, 148, 39, 159)(20, 140, 43, 163, 32, 152, 44, 164)(24, 144, 51, 171, 33, 153, 52, 172)(25, 145, 53, 173, 30, 150, 55, 175)(26, 146, 56, 176, 31, 151, 57, 177)(34, 154, 65, 185, 36, 156, 67, 187)(35, 155, 68, 188, 37, 157, 69, 189)(41, 161, 77, 197, 45, 165, 79, 199)(42, 162, 80, 200, 46, 166, 81, 201)(47, 167, 87, 207, 49, 169, 89, 209)(48, 168, 90, 210, 50, 170, 91, 211)(54, 174, 70, 190, 63, 183, 72, 192)(58, 178, 84, 204, 64, 184, 83, 203)(59, 179, 103, 223, 61, 181, 104, 224)(60, 180, 86, 206, 62, 182, 82, 202)(66, 186, 96, 216, 71, 191, 95, 215)(73, 193, 93, 213, 75, 195, 88, 208)(74, 194, 109, 229, 76, 196, 110, 230)(78, 198, 92, 212, 85, 205, 94, 214)(97, 217, 114, 234, 98, 218, 116, 236)(99, 219, 115, 235, 101, 221, 113, 233)(100, 220, 111, 231, 102, 222, 112, 232)(105, 225, 119, 239, 106, 226, 120, 240)(107, 227, 117, 237, 108, 228, 118, 238)(241, 361, 243, 363, 250, 370, 268, 388, 258, 378, 246, 366, 257, 377, 280, 400, 256, 376, 245, 365)(242, 362, 247, 367, 260, 380, 273, 393, 253, 373, 244, 364, 252, 372, 272, 392, 264, 384, 248, 368)(249, 369, 265, 385, 294, 414, 304, 424, 271, 391, 251, 371, 270, 390, 303, 423, 298, 418, 266, 386)(254, 374, 274, 394, 306, 426, 312, 432, 277, 397, 255, 375, 276, 396, 311, 431, 310, 430, 275, 395)(259, 379, 281, 401, 318, 438, 326, 446, 286, 406, 261, 381, 285, 405, 325, 445, 322, 442, 282, 402)(262, 382, 287, 407, 328, 448, 334, 454, 290, 410, 263, 383, 289, 409, 333, 453, 332, 452, 288, 408)(267, 387, 299, 419, 292, 412, 336, 456, 302, 422, 269, 389, 301, 421, 291, 411, 335, 455, 300, 420)(278, 398, 313, 433, 324, 444, 284, 404, 316, 436, 279, 399, 315, 435, 323, 443, 283, 403, 314, 434)(293, 413, 331, 451, 360, 480, 350, 470, 338, 458, 295, 415, 330, 450, 359, 479, 349, 469, 337, 457)(296, 416, 339, 459, 307, 427, 346, 466, 342, 462, 297, 417, 341, 461, 305, 425, 345, 465, 340, 460)(308, 428, 347, 467, 343, 463, 352, 472, 319, 439, 309, 429, 348, 468, 344, 464, 351, 471, 317, 437)(320, 440, 353, 473, 329, 449, 358, 478, 356, 476, 321, 441, 355, 475, 327, 447, 357, 477, 354, 474)
	L = (1, 244)(2, 241)(3, 251)(4, 246)(5, 255)(6, 242)(7, 261)(8, 263)(9, 243)(10, 269)(11, 257)(12, 259)(13, 262)(14, 245)(15, 258)(16, 279)(17, 249)(18, 254)(19, 247)(20, 284)(21, 252)(22, 248)(23, 253)(24, 292)(25, 295)(26, 297)(27, 250)(28, 278)(29, 280)(30, 293)(31, 296)(32, 283)(33, 291)(34, 307)(35, 309)(36, 305)(37, 308)(38, 256)(39, 268)(40, 267)(41, 319)(42, 321)(43, 260)(44, 272)(45, 317)(46, 320)(47, 329)(48, 331)(49, 327)(50, 330)(51, 264)(52, 273)(53, 265)(54, 312)(55, 270)(56, 266)(57, 271)(58, 323)(59, 344)(60, 322)(61, 343)(62, 326)(63, 310)(64, 324)(65, 274)(66, 335)(67, 276)(68, 275)(69, 277)(70, 294)(71, 336)(72, 303)(73, 328)(74, 350)(75, 333)(76, 349)(77, 281)(78, 334)(79, 285)(80, 282)(81, 286)(82, 302)(83, 304)(84, 298)(85, 332)(86, 300)(87, 287)(88, 315)(89, 289)(90, 288)(91, 290)(92, 318)(93, 313)(94, 325)(95, 311)(96, 306)(97, 356)(98, 354)(99, 353)(100, 352)(101, 355)(102, 351)(103, 299)(104, 301)(105, 360)(106, 359)(107, 358)(108, 357)(109, 314)(110, 316)(111, 340)(112, 342)(113, 341)(114, 337)(115, 339)(116, 338)(117, 347)(118, 348)(119, 345)(120, 346)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 2, 10, 2, 10, 2, 10, 2, 10 ), ( 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10 ) }
Outer automorphisms :: reflexible
Dual of E28.2509
Graph:: bipartite
	v = 42 e = 240 f = 144
	degree seq :: [ 8^30, 20^12 ]

E28.2509 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 5, 10})
Quotient :: dipole
Aut^+ = SL(2,5) (small group id <120, 5>)
Aut   = SL(2,5) : C2 (small group id <240, 93>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y1^5, (R * Y2 * Y3^-1)^2, Y3^2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^2, Y3 * Y1^-1 * Y3^2 * Y1 * Y3^2 * Y1^-1, Y1 * Y3 * Y1^2 * Y3 * Y1 * Y3^2, Y3 * Y1^-1 * Y3 * Y1^-2 * Y3^-1 * Y1^-2, Y3^-1 * Y1^-1 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1, Y3^-1 * Y1^-2 * Y3 * Y1 * Y3^-1 * Y1^2 * Y3^-1, (Y3 * Y2^-1)^10 ]
Map:: polytopal
	R = (1, 121, 2, 122, 6, 126, 13, 133, 4, 124)(3, 123, 9, 129, 26, 146, 33, 153, 11, 131)(5, 125, 15, 135, 43, 163, 47, 167, 16, 136)(7, 127, 20, 140, 58, 178, 64, 184, 22, 142)(8, 128, 23, 143, 66, 186, 70, 190, 24, 144)(10, 130, 29, 149, 80, 200, 84, 204, 31, 151)(12, 132, 35, 155, 89, 209, 93, 213, 37, 157)(14, 134, 40, 160, 99, 219, 68, 188, 41, 161)(17, 137, 49, 169, 107, 227, 109, 229, 50, 170)(18, 138, 52, 172, 32, 152, 85, 205, 54, 174)(19, 139, 55, 175, 86, 206, 100, 220, 56, 176)(21, 141, 60, 180, 113, 233, 90, 210, 62, 182)(25, 145, 72, 192, 101, 221, 94, 214, 73, 193)(27, 147, 59, 179, 48, 168, 71, 191, 77, 197)(28, 148, 78, 198, 53, 173, 111, 231, 79, 199)(30, 150, 82, 202, 96, 216, 104, 224, 44, 164)(34, 154, 87, 207, 57, 177, 110, 230, 51, 171)(36, 156, 91, 211, 67, 187, 61, 181, 92, 212)(38, 158, 95, 215, 63, 183, 102, 222, 75, 195)(39, 159, 97, 217, 105, 225, 45, 165, 76, 196)(42, 162, 83, 203, 69, 189, 112, 232, 74, 194)(46, 166, 65, 185, 115, 235, 98, 218, 106, 226)(81, 201, 108, 228, 117, 237, 119, 239, 114, 234)(88, 208, 103, 223, 118, 238, 120, 240, 116, 236)(241, 361)(242, 362)(243, 363)(244, 364)(245, 365)(246, 366)(247, 367)(248, 368)(249, 369)(250, 370)(251, 371)(252, 372)(253, 373)(254, 374)(255, 375)(256, 376)(257, 377)(258, 378)(259, 379)(260, 380)(261, 381)(262, 382)(263, 383)(264, 384)(265, 385)(266, 386)(267, 387)(268, 388)(269, 389)(270, 390)(271, 391)(272, 392)(273, 393)(274, 394)(275, 395)(276, 396)(277, 397)(278, 398)(279, 399)(280, 400)(281, 401)(282, 402)(283, 403)(284, 404)(285, 405)(286, 406)(287, 407)(288, 408)(289, 409)(290, 410)(291, 411)(292, 412)(293, 413)(294, 414)(295, 415)(296, 416)(297, 417)(298, 418)(299, 419)(300, 420)(301, 421)(302, 422)(303, 423)(304, 424)(305, 425)(306, 426)(307, 427)(308, 428)(309, 429)(310, 430)(311, 431)(312, 432)(313, 433)(314, 434)(315, 435)(316, 436)(317, 437)(318, 438)(319, 439)(320, 440)(321, 441)(322, 442)(323, 443)(324, 444)(325, 445)(326, 446)(327, 447)(328, 448)(329, 449)(330, 450)(331, 451)(332, 452)(333, 453)(334, 454)(335, 455)(336, 456)(337, 457)(338, 458)(339, 459)(340, 460)(341, 461)(342, 462)(343, 463)(344, 464)(345, 465)(346, 466)(347, 467)(348, 468)(349, 469)(350, 470)(351, 471)(352, 472)(353, 473)(354, 474)(355, 475)(356, 476)(357, 477)(358, 478)(359, 479)(360, 480)
	L = (1, 243)(2, 247)(3, 250)(4, 252)(5, 241)(6, 258)(7, 261)(8, 242)(9, 267)(10, 270)(11, 272)(12, 276)(13, 278)(14, 244)(15, 284)(16, 286)(17, 245)(18, 293)(19, 246)(20, 299)(21, 301)(22, 303)(23, 307)(24, 309)(25, 248)(26, 314)(27, 316)(28, 249)(29, 308)(30, 260)(31, 323)(32, 313)(33, 326)(34, 251)(35, 317)(36, 268)(37, 298)(38, 336)(39, 253)(40, 319)(41, 291)(42, 254)(43, 333)(44, 343)(45, 255)(46, 265)(47, 295)(48, 256)(49, 271)(50, 348)(51, 257)(52, 288)(53, 324)(54, 329)(55, 320)(56, 347)(57, 259)(58, 290)(59, 281)(60, 287)(61, 292)(62, 289)(63, 327)(64, 345)(65, 262)(66, 273)(67, 328)(68, 263)(69, 297)(70, 337)(71, 264)(72, 302)(73, 321)(74, 357)(75, 266)(76, 341)(77, 296)(78, 312)(79, 358)(80, 356)(81, 269)(82, 350)(83, 332)(84, 335)(85, 339)(86, 304)(87, 354)(88, 274)(89, 355)(90, 275)(91, 285)(92, 346)(93, 306)(94, 277)(95, 311)(96, 330)(97, 353)(98, 279)(99, 342)(100, 280)(101, 282)(102, 283)(103, 334)(104, 340)(105, 325)(106, 322)(107, 338)(108, 331)(109, 315)(110, 318)(111, 310)(112, 294)(113, 360)(114, 300)(115, 359)(116, 305)(117, 344)(118, 349)(119, 351)(120, 352)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 8, 20 ), ( 8, 20, 8, 20, 8, 20, 8, 20, 8, 20 ) }
Outer automorphisms :: reflexible
Dual of E28.2508
Graph:: simple bipartite
	v = 144 e = 240 f = 42
	degree seq :: [ 2^120, 10^24 ]

E28.2510 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 30, 60})
Quotient :: regular
Aut^+ = C15 x D8 (small group id <120, 32>)
Aut   = D8 x D30 (small group id <240, 179>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1 * T2 * T1^-2 * T2 * T1, (T1 * T2 * T1^-1 * T2)^2, T1^-2 * T2 * T1^-27 * T2 * T1^-1, (T2 * T1^-3)^10 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 29, 37, 45, 53, 102, 95, 86, 78, 68, 74, 67, 73, 82, 91, 99, 107, 115, 119, 117, 57, 49, 41, 33, 25, 16, 24, 15, 23, 32, 40, 48, 56, 114, 110, 103, 94, 87, 77, 69, 63, 66, 72, 81, 90, 98, 106, 113, 60, 52, 44, 36, 28, 19, 10, 4)(3, 7, 12, 22, 30, 39, 46, 55, 111, 96, 101, 79, 85, 64, 84, 62, 83, 71, 100, 89, 116, 105, 120, 59, 51, 43, 35, 27, 18, 9, 14, 6, 13, 21, 31, 38, 47, 54, 104, 109, 88, 93, 70, 76, 61, 75, 65, 92, 80, 108, 97, 118, 112, 58, 50, 42, 34, 26, 17, 8)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 21)(13, 23)(14, 24)(18, 25)(19, 27)(20, 30)(22, 32)(26, 33)(28, 34)(29, 38)(31, 40)(35, 41)(36, 43)(37, 46)(39, 48)(42, 49)(44, 50)(45, 54)(47, 56)(51, 57)(52, 59)(53, 111)(55, 114)(58, 117)(60, 112)(61, 63)(62, 66)(64, 69)(65, 72)(67, 75)(68, 76)(70, 77)(71, 81)(73, 83)(74, 84)(78, 85)(79, 87)(80, 90)(82, 92)(86, 93)(88, 94)(89, 98)(91, 100)(95, 101)(96, 103)(97, 106)(99, 108)(102, 109)(104, 110)(105, 113)(107, 116)(115, 118)(119, 120)
	local type(s) :: { ( 30^60 ) }
Outer automorphisms :: reflexible
Dual of E28.2511
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 60 f = 4
	degree seq :: [ 60^2 ]

E28.2511 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 30, 60})
Quotient :: regular
Aut^+ = C15 x D8 (small group id <120, 32>)
Aut   = D8 x D30 (small group id <240, 179>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1 * T2 * T1^-2 * T2 * T1, (T1 * T2 * T1^-1 * T2)^2, T1^30, (T2 * T1^-3)^20 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 29, 37, 45, 53, 79, 70, 64, 61, 62, 65, 71, 80, 88, 95, 100, 105, 112, 60, 52, 44, 36, 28, 19, 10, 4)(3, 7, 12, 22, 30, 39, 46, 55, 93, 86, 77, 68, 63, 67, 72, 82, 89, 97, 101, 107, 117, 114, 110, 58, 50, 42, 34, 26, 17, 8)(6, 13, 21, 31, 38, 47, 54, 94, 87, 78, 69, 74, 66, 73, 81, 90, 96, 102, 106, 118, 115, 111, 59, 51, 43, 35, 27, 18, 9, 14)(15, 23, 32, 40, 48, 56, 104, 99, 92, 85, 76, 84, 75, 83, 91, 98, 103, 108, 120, 119, 116, 113, 109, 57, 49, 41, 33, 25, 16, 24)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 21)(13, 23)(14, 24)(18, 25)(19, 27)(20, 30)(22, 32)(26, 33)(28, 34)(29, 38)(31, 40)(35, 41)(36, 43)(37, 46)(39, 48)(42, 49)(44, 50)(45, 54)(47, 56)(51, 57)(52, 59)(53, 93)(55, 104)(58, 109)(60, 110)(61, 63)(62, 66)(64, 69)(65, 72)(67, 75)(68, 76)(70, 77)(71, 81)(73, 83)(74, 84)(78, 85)(79, 87)(80, 89)(82, 91)(86, 92)(88, 96)(90, 98)(94, 99)(95, 101)(97, 103)(100, 106)(102, 108)(105, 117)(107, 120)(111, 113)(112, 115)(114, 116)(118, 119)
	local type(s) :: { ( 60^30 ) }
Outer automorphisms :: reflexible
Dual of E28.2510
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 4 e = 60 f = 2
	degree seq :: [ 30^4 ]

E28.2512 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 30, 60})
Quotient :: edge
Aut^+ = C15 x D8 (small group id <120, 32>)
Aut   = D8 x D30 (small group id <240, 179>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^2 * T1 * T2^-2 * T1, (T2 * T1 * T2^-1 * T1)^2, T2^30, (T1 * T2^-3)^20 ]
Map::
	R = (1, 3, 8, 17, 26, 34, 42, 50, 58, 73, 81, 71, 80, 85, 89, 93, 97, 118, 111, 106, 103, 105, 60, 52, 44, 36, 28, 19, 10, 4)(2, 5, 12, 22, 30, 38, 46, 54, 78, 69, 76, 67, 75, 83, 87, 91, 95, 100, 114, 108, 104, 107, 102, 56, 48, 40, 32, 24, 14, 6)(7, 15, 25, 33, 41, 49, 57, 74, 66, 62, 65, 72, 82, 86, 90, 94, 98, 117, 110, 116, 109, 115, 59, 51, 43, 35, 27, 18, 9, 16)(11, 20, 29, 37, 45, 53, 79, 70, 64, 61, 63, 68, 77, 84, 88, 92, 96, 101, 113, 120, 112, 119, 99, 55, 47, 39, 31, 23, 13, 21)(121, 122)(123, 127)(124, 129)(125, 131)(126, 133)(128, 132)(130, 134)(135, 140)(136, 141)(137, 145)(138, 143)(139, 147)(142, 149)(144, 151)(146, 150)(148, 152)(153, 157)(154, 161)(155, 159)(156, 163)(158, 165)(160, 167)(162, 166)(164, 168)(169, 173)(170, 177)(171, 175)(172, 179)(174, 199)(176, 219)(178, 198)(180, 222)(181, 182)(183, 187)(184, 189)(185, 191)(186, 193)(188, 192)(190, 194)(195, 200)(196, 201)(197, 203)(202, 205)(204, 206)(207, 209)(208, 211)(210, 213)(212, 214)(215, 217)(216, 220)(218, 238)(221, 237)(223, 224)(225, 229)(226, 230)(227, 232)(228, 233)(231, 234)(235, 239)(236, 240)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 120, 120 ), ( 120^30 ) }
Outer automorphisms :: reflexible
Dual of E28.2516
Transitivity :: ET+
Graph:: simple bipartite
	v = 64 e = 120 f = 2
	degree seq :: [ 2^60, 30^4 ]

E28.2513 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 30, 60})
Quotient :: edge
Aut^+ = C15 x D8 (small group id <120, 32>)
Aut   = D8 x D30 (small group id <240, 179>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (T2^-1 * T1^-1)^2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, T2^-3 * T1^-1 * T2 * T1^-1, T1^-1 * T2^-1 * T1 * T2^-1 * T1^-2, T2 * T1^-2 * T2^13 * T1^-5 * T2 * T1^-2 * T2 * T1^-1 * T2^4 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 24, 33, 41, 49, 57, 65, 73, 81, 89, 97, 105, 113, 118, 109, 103, 96, 86, 77, 71, 64, 54, 45, 39, 32, 18, 6, 17, 30, 20, 13, 27, 36, 44, 52, 60, 68, 76, 84, 92, 100, 108, 116, 119, 112, 102, 93, 87, 80, 70, 61, 55, 48, 38, 28, 21, 15, 5)(2, 7, 19, 11, 26, 34, 43, 50, 59, 66, 75, 82, 91, 98, 107, 114, 117, 111, 104, 94, 85, 79, 72, 62, 53, 47, 40, 29, 16, 14, 23, 9, 4, 12, 25, 35, 42, 51, 58, 67, 74, 83, 90, 99, 106, 115, 120, 110, 101, 95, 88, 78, 69, 63, 56, 46, 37, 31, 22, 8)(121, 122, 126, 136, 148, 157, 165, 173, 181, 189, 197, 205, 213, 221, 229, 237, 236, 226, 217, 211, 204, 194, 185, 179, 172, 162, 153, 146, 133, 124)(123, 129, 137, 128, 141, 149, 159, 166, 175, 182, 191, 198, 207, 214, 223, 230, 239, 234, 225, 219, 212, 202, 193, 187, 180, 170, 161, 155, 147, 131)(125, 134, 138, 151, 158, 167, 174, 183, 190, 199, 206, 215, 222, 231, 238, 235, 228, 218, 209, 203, 196, 186, 177, 171, 164, 154, 144, 132, 140, 127)(130, 139, 150, 143, 135, 142, 152, 160, 168, 176, 184, 192, 200, 208, 216, 224, 232, 240, 233, 227, 220, 210, 201, 195, 188, 178, 169, 163, 156, 145)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4^30 ), ( 4^60 ) }
Outer automorphisms :: reflexible
Dual of E28.2517
Transitivity :: ET+
Graph:: bipartite
	v = 6 e = 120 f = 60
	degree seq :: [ 30^4, 60^2 ]

E28.2514 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 30, 60})
Quotient :: edge
Aut^+ = C15 x D8 (small group id <120, 32>)
Aut   = D8 x D30 (small group id <240, 179>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1 * T2 * T1^-2 * T2 * T1, (T1 * T2 * T1^-1 * T2)^2, T1^-2 * T2 * T1^-27 * T2 * T1^-1, (T2 * T1^-3)^10 ]
Map::
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 21)(13, 23)(14, 24)(18, 25)(19, 27)(20, 30)(22, 32)(26, 33)(28, 34)(29, 38)(31, 40)(35, 41)(36, 43)(37, 46)(39, 48)(42, 49)(44, 50)(45, 54)(47, 56)(51, 57)(52, 59)(53, 76)(55, 88)(58, 101)(60, 102)(61, 63)(62, 66)(64, 69)(65, 71)(67, 74)(68, 75)(70, 79)(72, 81)(73, 82)(77, 83)(78, 85)(80, 87)(84, 90)(86, 92)(89, 94)(91, 96)(93, 98)(95, 100)(97, 116)(99, 120)(103, 105)(104, 108)(106, 111)(107, 112)(109, 114)(110, 115)(113, 118)(117, 119)(121, 122, 125, 131, 140, 149, 157, 165, 173, 184, 181, 182, 185, 190, 198, 204, 209, 213, 217, 226, 223, 224, 227, 221, 177, 169, 161, 153, 145, 136, 144, 135, 143, 152, 160, 168, 176, 208, 203, 195, 202, 194, 201, 207, 212, 216, 220, 240, 239, 235, 238, 234, 180, 172, 164, 156, 148, 139, 130, 124)(123, 127, 132, 142, 150, 159, 166, 175, 196, 188, 183, 187, 191, 200, 205, 211, 214, 219, 236, 230, 225, 229, 232, 179, 171, 163, 155, 147, 138, 129, 134, 126, 133, 141, 151, 158, 167, 174, 197, 189, 193, 186, 192, 199, 206, 210, 215, 218, 237, 231, 233, 228, 222, 178, 170, 162, 154, 146, 137, 128)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 60, 60 ), ( 60^60 ) }
Outer automorphisms :: reflexible
Dual of E28.2515
Transitivity :: ET+
Graph:: simple bipartite
	v = 62 e = 120 f = 4
	degree seq :: [ 2^60, 60^2 ]

E28.2515 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 30, 60})
Quotient :: loop
Aut^+ = C15 x D8 (small group id <120, 32>)
Aut   = D8 x D30 (small group id <240, 179>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^2 * T1 * T2^-2 * T1, (T2 * T1 * T2^-1 * T1)^2, T2^30, (T1 * T2^-3)^20 ]
Map::
	R = (1, 121, 3, 123, 8, 128, 17, 137, 26, 146, 34, 154, 42, 162, 50, 170, 58, 178, 64, 184, 70, 190, 74, 194, 79, 199, 82, 202, 87, 207, 90, 210, 95, 215, 97, 217, 100, 220, 105, 225, 110, 230, 114, 234, 60, 180, 52, 172, 44, 164, 36, 156, 28, 148, 19, 139, 10, 130, 4, 124)(2, 122, 5, 125, 12, 132, 22, 142, 30, 150, 38, 158, 46, 166, 54, 174, 73, 193, 63, 183, 72, 192, 71, 191, 81, 201, 80, 200, 89, 209, 88, 208, 96, 216, 98, 218, 103, 223, 108, 228, 112, 232, 116, 236, 94, 214, 56, 176, 48, 168, 40, 160, 32, 152, 24, 144, 14, 134, 6, 126)(7, 127, 15, 135, 25, 145, 33, 153, 41, 161, 49, 169, 57, 177, 61, 181, 68, 188, 66, 186, 77, 197, 76, 196, 85, 205, 84, 204, 101, 221, 93, 213, 99, 219, 104, 224, 109, 229, 113, 233, 117, 237, 119, 239, 59, 179, 51, 171, 43, 163, 35, 155, 27, 147, 18, 138, 9, 129, 16, 136)(11, 131, 20, 140, 29, 149, 37, 157, 45, 165, 53, 173, 67, 187, 62, 182, 65, 185, 69, 189, 75, 195, 78, 198, 83, 203, 86, 206, 92, 212, 107, 227, 102, 222, 106, 226, 111, 231, 115, 235, 118, 238, 120, 240, 91, 211, 55, 175, 47, 167, 39, 159, 31, 151, 23, 143, 13, 133, 21, 141)
	L = (1, 122)(2, 121)(3, 127)(4, 129)(5, 131)(6, 133)(7, 123)(8, 132)(9, 124)(10, 134)(11, 125)(12, 128)(13, 126)(14, 130)(15, 140)(16, 141)(17, 145)(18, 143)(19, 147)(20, 135)(21, 136)(22, 149)(23, 138)(24, 151)(25, 137)(26, 150)(27, 139)(28, 152)(29, 142)(30, 146)(31, 144)(32, 148)(33, 157)(34, 161)(35, 159)(36, 163)(37, 153)(38, 165)(39, 155)(40, 167)(41, 154)(42, 166)(43, 156)(44, 168)(45, 158)(46, 162)(47, 160)(48, 164)(49, 173)(50, 177)(51, 175)(52, 179)(53, 169)(54, 187)(55, 171)(56, 211)(57, 170)(58, 193)(59, 172)(60, 214)(61, 182)(62, 181)(63, 185)(64, 188)(65, 183)(66, 189)(67, 174)(68, 184)(69, 186)(70, 192)(71, 195)(72, 190)(73, 178)(74, 197)(75, 191)(76, 198)(77, 194)(78, 196)(79, 201)(80, 203)(81, 199)(82, 205)(83, 200)(84, 206)(85, 202)(86, 204)(87, 209)(88, 212)(89, 207)(90, 221)(91, 176)(92, 208)(93, 227)(94, 180)(95, 216)(96, 215)(97, 219)(98, 222)(99, 217)(100, 223)(101, 210)(102, 218)(103, 220)(104, 226)(105, 229)(106, 224)(107, 213)(108, 231)(109, 225)(110, 232)(111, 228)(112, 230)(113, 235)(114, 237)(115, 233)(116, 238)(117, 234)(118, 236)(119, 240)(120, 239)
	local type(s) :: { ( 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.2514
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 120 f = 62
	degree seq :: [ 60^4 ]

E28.2516 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 30, 60})
Quotient :: loop
Aut^+ = C15 x D8 (small group id <120, 32>)
Aut   = D8 x D30 (small group id <240, 179>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (T2^-1 * T1^-1)^2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, T2^-3 * T1^-1 * T2 * T1^-1, T1^-1 * T2^-1 * T1 * T2^-1 * T1^-2, T2 * T1^-2 * T2^13 * T1^-5 * T2 * T1^-2 * T2 * T1^-1 * T2^4 ]
Map::
	R = (1, 121, 3, 123, 10, 130, 24, 144, 33, 153, 41, 161, 49, 169, 57, 177, 65, 185, 73, 193, 81, 201, 89, 209, 97, 217, 105, 225, 113, 233, 118, 238, 109, 229, 103, 223, 96, 216, 86, 206, 77, 197, 71, 191, 64, 184, 54, 174, 45, 165, 39, 159, 32, 152, 18, 138, 6, 126, 17, 137, 30, 150, 20, 140, 13, 133, 27, 147, 36, 156, 44, 164, 52, 172, 60, 180, 68, 188, 76, 196, 84, 204, 92, 212, 100, 220, 108, 228, 116, 236, 119, 239, 112, 232, 102, 222, 93, 213, 87, 207, 80, 200, 70, 190, 61, 181, 55, 175, 48, 168, 38, 158, 28, 148, 21, 141, 15, 135, 5, 125)(2, 122, 7, 127, 19, 139, 11, 131, 26, 146, 34, 154, 43, 163, 50, 170, 59, 179, 66, 186, 75, 195, 82, 202, 91, 211, 98, 218, 107, 227, 114, 234, 117, 237, 111, 231, 104, 224, 94, 214, 85, 205, 79, 199, 72, 192, 62, 182, 53, 173, 47, 167, 40, 160, 29, 149, 16, 136, 14, 134, 23, 143, 9, 129, 4, 124, 12, 132, 25, 145, 35, 155, 42, 162, 51, 171, 58, 178, 67, 187, 74, 194, 83, 203, 90, 210, 99, 219, 106, 226, 115, 235, 120, 240, 110, 230, 101, 221, 95, 215, 88, 208, 78, 198, 69, 189, 63, 183, 56, 176, 46, 166, 37, 157, 31, 151, 22, 142, 8, 128)
	L = (1, 122)(2, 126)(3, 129)(4, 121)(5, 134)(6, 136)(7, 125)(8, 141)(9, 137)(10, 139)(11, 123)(12, 140)(13, 124)(14, 138)(15, 142)(16, 148)(17, 128)(18, 151)(19, 150)(20, 127)(21, 149)(22, 152)(23, 135)(24, 132)(25, 130)(26, 133)(27, 131)(28, 157)(29, 159)(30, 143)(31, 158)(32, 160)(33, 146)(34, 144)(35, 147)(36, 145)(37, 165)(38, 167)(39, 166)(40, 168)(41, 155)(42, 153)(43, 156)(44, 154)(45, 173)(46, 175)(47, 174)(48, 176)(49, 163)(50, 161)(51, 164)(52, 162)(53, 181)(54, 183)(55, 182)(56, 184)(57, 171)(58, 169)(59, 172)(60, 170)(61, 189)(62, 191)(63, 190)(64, 192)(65, 179)(66, 177)(67, 180)(68, 178)(69, 197)(70, 199)(71, 198)(72, 200)(73, 187)(74, 185)(75, 188)(76, 186)(77, 205)(78, 207)(79, 206)(80, 208)(81, 195)(82, 193)(83, 196)(84, 194)(85, 213)(86, 215)(87, 214)(88, 216)(89, 203)(90, 201)(91, 204)(92, 202)(93, 221)(94, 223)(95, 222)(96, 224)(97, 211)(98, 209)(99, 212)(100, 210)(101, 229)(102, 231)(103, 230)(104, 232)(105, 219)(106, 217)(107, 220)(108, 218)(109, 237)(110, 239)(111, 238)(112, 240)(113, 227)(114, 225)(115, 228)(116, 226)(117, 236)(118, 235)(119, 234)(120, 233)
	local type(s) :: { ( 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30 ) }
Outer automorphisms :: reflexible
Dual of E28.2512
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 120 f = 64
	degree seq :: [ 120^2 ]

E28.2517 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 30, 60})
Quotient :: loop
Aut^+ = C15 x D8 (small group id <120, 32>)
Aut   = D8 x D30 (small group id <240, 179>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1 * T2 * T1^-2 * T2 * T1, (T1 * T2 * T1^-1 * T2)^2, T1^-2 * T2 * T1^-27 * T2 * T1^-1, (T2 * T1^-3)^10 ]
Map:: polytopal non-degenerate
	R = (1, 121, 3, 123)(2, 122, 6, 126)(4, 124, 9, 129)(5, 125, 12, 132)(7, 127, 15, 135)(8, 128, 16, 136)(10, 130, 17, 137)(11, 131, 21, 141)(13, 133, 23, 143)(14, 134, 24, 144)(18, 138, 25, 145)(19, 139, 27, 147)(20, 140, 30, 150)(22, 142, 32, 152)(26, 146, 33, 153)(28, 148, 34, 154)(29, 149, 38, 158)(31, 151, 40, 160)(35, 155, 41, 161)(36, 156, 43, 163)(37, 157, 46, 166)(39, 159, 48, 168)(42, 162, 49, 169)(44, 164, 50, 170)(45, 165, 54, 174)(47, 167, 56, 176)(51, 171, 57, 177)(52, 172, 59, 179)(53, 173, 83, 203)(55, 175, 84, 204)(58, 178, 101, 221)(60, 180, 102, 222)(61, 181, 63, 183)(62, 182, 66, 186)(64, 184, 69, 189)(65, 185, 72, 192)(67, 187, 75, 195)(68, 188, 76, 196)(70, 190, 77, 197)(71, 191, 79, 199)(73, 193, 81, 201)(74, 194, 82, 202)(78, 198, 86, 206)(80, 200, 88, 208)(85, 205, 90, 210)(87, 207, 92, 212)(89, 209, 94, 214)(91, 211, 96, 216)(93, 213, 98, 218)(95, 215, 100, 220)(97, 217, 119, 239)(99, 219, 120, 240)(103, 223, 105, 225)(104, 224, 108, 228)(106, 226, 111, 231)(107, 227, 113, 233)(109, 229, 115, 235)(110, 230, 116, 236)(112, 232, 117, 237)(114, 234, 118, 238)
	L = (1, 122)(2, 125)(3, 127)(4, 121)(5, 131)(6, 133)(7, 132)(8, 123)(9, 134)(10, 124)(11, 140)(12, 142)(13, 141)(14, 126)(15, 143)(16, 144)(17, 128)(18, 129)(19, 130)(20, 149)(21, 151)(22, 150)(23, 152)(24, 135)(25, 136)(26, 137)(27, 138)(28, 139)(29, 157)(30, 159)(31, 158)(32, 160)(33, 145)(34, 146)(35, 147)(36, 148)(37, 165)(38, 167)(39, 166)(40, 168)(41, 153)(42, 154)(43, 155)(44, 156)(45, 173)(46, 175)(47, 174)(48, 176)(49, 161)(50, 162)(51, 163)(52, 164)(53, 188)(54, 190)(55, 203)(56, 204)(57, 169)(58, 170)(59, 171)(60, 172)(61, 195)(62, 201)(63, 186)(64, 202)(65, 208)(66, 192)(67, 193)(68, 194)(69, 183)(70, 196)(71, 212)(72, 199)(73, 200)(74, 187)(75, 185)(76, 181)(77, 189)(78, 216)(79, 206)(80, 207)(81, 191)(82, 182)(83, 184)(84, 197)(85, 220)(86, 210)(87, 211)(88, 198)(89, 240)(90, 214)(91, 215)(92, 205)(93, 237)(94, 218)(95, 219)(96, 209)(97, 231)(98, 239)(99, 232)(100, 213)(101, 177)(102, 178)(103, 224)(104, 227)(105, 229)(106, 223)(107, 221)(108, 222)(109, 233)(110, 225)(111, 234)(112, 226)(113, 179)(114, 228)(115, 180)(116, 238)(117, 230)(118, 235)(119, 236)(120, 217)
	local type(s) :: { ( 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.2513
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 60 e = 120 f = 6
	degree seq :: [ 4^60 ]

E28.2518 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 30, 60})
Quotient :: dipole
Aut^+ = C15 x D8 (small group id <120, 32>)
Aut   = D8 x D30 (small group id <240, 179>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^-2 * Y1 * Y2^2 * Y1, (Y2^-1 * R * Y2^-1)^2, (Y2 * Y1 * Y2^-1 * Y1)^2, Y2^30, (Y3 * Y2^-1)^60 ]
Map::
	R = (1, 121, 2, 122)(3, 123, 7, 127)(4, 124, 9, 129)(5, 125, 11, 131)(6, 126, 13, 133)(8, 128, 12, 132)(10, 130, 14, 134)(15, 135, 20, 140)(16, 136, 21, 141)(17, 137, 25, 145)(18, 138, 23, 143)(19, 139, 27, 147)(22, 142, 29, 149)(24, 144, 31, 151)(26, 146, 30, 150)(28, 148, 32, 152)(33, 153, 37, 157)(34, 154, 41, 161)(35, 155, 39, 159)(36, 156, 43, 163)(38, 158, 45, 165)(40, 160, 47, 167)(42, 162, 46, 166)(44, 164, 48, 168)(49, 169, 53, 173)(50, 170, 57, 177)(51, 171, 55, 175)(52, 172, 59, 179)(54, 174, 88, 208)(56, 176, 103, 223)(58, 178, 87, 207)(60, 180, 106, 226)(61, 181, 76, 196)(62, 182, 81, 201)(63, 183, 65, 185)(64, 184, 66, 186)(67, 187, 71, 191)(68, 188, 75, 195)(69, 189, 73, 193)(70, 190, 78, 198)(72, 192, 80, 200)(74, 194, 83, 203)(77, 197, 82, 202)(79, 199, 84, 204)(85, 205, 89, 209)(86, 206, 91, 211)(90, 210, 93, 213)(92, 212, 94, 214)(95, 215, 97, 217)(96, 216, 99, 219)(98, 218, 101, 221)(100, 220, 102, 222)(104, 224, 120, 240)(105, 225, 118, 238)(107, 227, 109, 229)(108, 228, 111, 231)(110, 230, 112, 232)(113, 233, 116, 236)(114, 234, 117, 237)(115, 235, 119, 239)(241, 361, 243, 363, 248, 368, 257, 377, 266, 386, 274, 394, 282, 402, 290, 410, 298, 418, 323, 443, 313, 433, 321, 441, 311, 431, 320, 440, 329, 449, 333, 453, 337, 457, 341, 461, 360, 480, 355, 475, 350, 470, 347, 467, 300, 420, 292, 412, 284, 404, 276, 396, 268, 388, 259, 379, 250, 370, 244, 364)(242, 362, 245, 365, 252, 372, 262, 382, 270, 390, 278, 398, 286, 406, 294, 414, 327, 447, 318, 438, 309, 429, 316, 436, 307, 427, 315, 435, 325, 445, 331, 451, 335, 455, 339, 459, 344, 464, 358, 478, 352, 472, 348, 468, 346, 466, 296, 416, 288, 408, 280, 400, 272, 392, 264, 384, 254, 374, 246, 366)(247, 367, 255, 375, 265, 385, 273, 393, 281, 401, 289, 409, 297, 417, 324, 444, 314, 434, 306, 426, 302, 422, 305, 425, 312, 432, 322, 442, 330, 450, 334, 454, 338, 458, 342, 462, 359, 479, 354, 474, 349, 469, 353, 473, 299, 419, 291, 411, 283, 403, 275, 395, 267, 387, 258, 378, 249, 369, 256, 376)(251, 371, 260, 380, 269, 389, 277, 397, 285, 405, 293, 413, 328, 448, 319, 439, 310, 430, 304, 424, 301, 421, 303, 423, 308, 428, 317, 437, 326, 446, 332, 452, 336, 456, 340, 460, 345, 465, 357, 477, 351, 471, 356, 476, 343, 463, 295, 415, 287, 407, 279, 399, 271, 391, 263, 383, 253, 373, 261, 381)
	L = (1, 242)(2, 241)(3, 247)(4, 249)(5, 251)(6, 253)(7, 243)(8, 252)(9, 244)(10, 254)(11, 245)(12, 248)(13, 246)(14, 250)(15, 260)(16, 261)(17, 265)(18, 263)(19, 267)(20, 255)(21, 256)(22, 269)(23, 258)(24, 271)(25, 257)(26, 270)(27, 259)(28, 272)(29, 262)(30, 266)(31, 264)(32, 268)(33, 277)(34, 281)(35, 279)(36, 283)(37, 273)(38, 285)(39, 275)(40, 287)(41, 274)(42, 286)(43, 276)(44, 288)(45, 278)(46, 282)(47, 280)(48, 284)(49, 293)(50, 297)(51, 295)(52, 299)(53, 289)(54, 328)(55, 291)(56, 343)(57, 290)(58, 327)(59, 292)(60, 346)(61, 316)(62, 321)(63, 305)(64, 306)(65, 303)(66, 304)(67, 311)(68, 315)(69, 313)(70, 318)(71, 307)(72, 320)(73, 309)(74, 323)(75, 308)(76, 301)(77, 322)(78, 310)(79, 324)(80, 312)(81, 302)(82, 317)(83, 314)(84, 319)(85, 329)(86, 331)(87, 298)(88, 294)(89, 325)(90, 333)(91, 326)(92, 334)(93, 330)(94, 332)(95, 337)(96, 339)(97, 335)(98, 341)(99, 336)(100, 342)(101, 338)(102, 340)(103, 296)(104, 360)(105, 358)(106, 300)(107, 349)(108, 351)(109, 347)(110, 352)(111, 348)(112, 350)(113, 356)(114, 357)(115, 359)(116, 353)(117, 354)(118, 345)(119, 355)(120, 344)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 2, 120, 2, 120 ), ( 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120 ) }
Outer automorphisms :: reflexible
Dual of E28.2521
Graph:: bipartite
	v = 64 e = 240 f = 122
	degree seq :: [ 4^60, 60^4 ]

E28.2519 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 30, 60})
Quotient :: dipole
Aut^+ = C15 x D8 (small group id <120, 32>)
Aut   = D8 x D30 (small group id <240, 179>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, (R * Y1)^2, R * Y2 * R * Y3, (Y3^-1 * Y1^-1)^2, Y2^-1 * Y1^2 * Y2 * Y1^-2, Y2^-1 * Y1 * Y2^2 * Y1^-1 * Y2^-1, Y2^10 * Y1 * Y2^2 * Y1^11, Y2^12 * Y1^-1 * Y2^2 * Y1^-13 * Y2^2, Y1^30 ]
Map::
	R = (1, 121, 2, 122, 6, 126, 16, 136, 28, 148, 37, 157, 45, 165, 53, 173, 61, 181, 69, 189, 77, 197, 85, 205, 93, 213, 101, 221, 109, 229, 117, 237, 116, 236, 106, 226, 97, 217, 91, 211, 84, 204, 74, 194, 65, 185, 59, 179, 52, 172, 42, 162, 33, 153, 26, 146, 13, 133, 4, 124)(3, 123, 9, 129, 17, 137, 8, 128, 21, 141, 29, 149, 39, 159, 46, 166, 55, 175, 62, 182, 71, 191, 78, 198, 87, 207, 94, 214, 103, 223, 110, 230, 119, 239, 114, 234, 105, 225, 99, 219, 92, 212, 82, 202, 73, 193, 67, 187, 60, 180, 50, 170, 41, 161, 35, 155, 27, 147, 11, 131)(5, 125, 14, 134, 18, 138, 31, 151, 38, 158, 47, 167, 54, 174, 63, 183, 70, 190, 79, 199, 86, 206, 95, 215, 102, 222, 111, 231, 118, 238, 115, 235, 108, 228, 98, 218, 89, 209, 83, 203, 76, 196, 66, 186, 57, 177, 51, 171, 44, 164, 34, 154, 24, 144, 12, 132, 20, 140, 7, 127)(10, 130, 19, 139, 30, 150, 23, 143, 15, 135, 22, 142, 32, 152, 40, 160, 48, 168, 56, 176, 64, 184, 72, 192, 80, 200, 88, 208, 96, 216, 104, 224, 112, 232, 120, 240, 113, 233, 107, 227, 100, 220, 90, 210, 81, 201, 75, 195, 68, 188, 58, 178, 49, 169, 43, 163, 36, 156, 25, 145)(241, 361, 243, 363, 250, 370, 264, 384, 273, 393, 281, 401, 289, 409, 297, 417, 305, 425, 313, 433, 321, 441, 329, 449, 337, 457, 345, 465, 353, 473, 358, 478, 349, 469, 343, 463, 336, 456, 326, 446, 317, 437, 311, 431, 304, 424, 294, 414, 285, 405, 279, 399, 272, 392, 258, 378, 246, 366, 257, 377, 270, 390, 260, 380, 253, 373, 267, 387, 276, 396, 284, 404, 292, 412, 300, 420, 308, 428, 316, 436, 324, 444, 332, 452, 340, 460, 348, 468, 356, 476, 359, 479, 352, 472, 342, 462, 333, 453, 327, 447, 320, 440, 310, 430, 301, 421, 295, 415, 288, 408, 278, 398, 268, 388, 261, 381, 255, 375, 245, 365)(242, 362, 247, 367, 259, 379, 251, 371, 266, 386, 274, 394, 283, 403, 290, 410, 299, 419, 306, 426, 315, 435, 322, 442, 331, 451, 338, 458, 347, 467, 354, 474, 357, 477, 351, 471, 344, 464, 334, 454, 325, 445, 319, 439, 312, 432, 302, 422, 293, 413, 287, 407, 280, 400, 269, 389, 256, 376, 254, 374, 263, 383, 249, 369, 244, 364, 252, 372, 265, 385, 275, 395, 282, 402, 291, 411, 298, 418, 307, 427, 314, 434, 323, 443, 330, 450, 339, 459, 346, 466, 355, 475, 360, 480, 350, 470, 341, 461, 335, 455, 328, 448, 318, 438, 309, 429, 303, 423, 296, 416, 286, 406, 277, 397, 271, 391, 262, 382, 248, 368)
	L = (1, 243)(2, 247)(3, 250)(4, 252)(5, 241)(6, 257)(7, 259)(8, 242)(9, 244)(10, 264)(11, 266)(12, 265)(13, 267)(14, 263)(15, 245)(16, 254)(17, 270)(18, 246)(19, 251)(20, 253)(21, 255)(22, 248)(23, 249)(24, 273)(25, 275)(26, 274)(27, 276)(28, 261)(29, 256)(30, 260)(31, 262)(32, 258)(33, 281)(34, 283)(35, 282)(36, 284)(37, 271)(38, 268)(39, 272)(40, 269)(41, 289)(42, 291)(43, 290)(44, 292)(45, 279)(46, 277)(47, 280)(48, 278)(49, 297)(50, 299)(51, 298)(52, 300)(53, 287)(54, 285)(55, 288)(56, 286)(57, 305)(58, 307)(59, 306)(60, 308)(61, 295)(62, 293)(63, 296)(64, 294)(65, 313)(66, 315)(67, 314)(68, 316)(69, 303)(70, 301)(71, 304)(72, 302)(73, 321)(74, 323)(75, 322)(76, 324)(77, 311)(78, 309)(79, 312)(80, 310)(81, 329)(82, 331)(83, 330)(84, 332)(85, 319)(86, 317)(87, 320)(88, 318)(89, 337)(90, 339)(91, 338)(92, 340)(93, 327)(94, 325)(95, 328)(96, 326)(97, 345)(98, 347)(99, 346)(100, 348)(101, 335)(102, 333)(103, 336)(104, 334)(105, 353)(106, 355)(107, 354)(108, 356)(109, 343)(110, 341)(111, 344)(112, 342)(113, 358)(114, 357)(115, 360)(116, 359)(117, 351)(118, 349)(119, 352)(120, 350)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.2520
Graph:: bipartite
	v = 6 e = 240 f = 180
	degree seq :: [ 60^4, 120^2 ]

E28.2520 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 30, 60})
Quotient :: dipole
Aut^+ = C15 x D8 (small group id <120, 32>)
Aut   = D8 x D30 (small group id <240, 179>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y2 * Y3^2 * Y2, (Y3 * Y2 * Y3^-1 * Y2)^2, Y3^29 * Y2 * Y3 * Y2, (Y2 * Y3^3)^10, (Y3^-1 * Y1^-1)^60 ]
Map:: polytopal
	R = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)(241, 361, 242, 362)(243, 363, 247, 367)(244, 364, 249, 369)(245, 365, 251, 371)(246, 366, 253, 373)(248, 368, 252, 372)(250, 370, 254, 374)(255, 375, 260, 380)(256, 376, 261, 381)(257, 377, 265, 385)(258, 378, 263, 383)(259, 379, 267, 387)(262, 382, 269, 389)(264, 384, 271, 391)(266, 386, 270, 390)(268, 388, 272, 392)(273, 393, 277, 397)(274, 394, 281, 401)(275, 395, 279, 399)(276, 396, 283, 403)(278, 398, 285, 405)(280, 400, 287, 407)(282, 402, 286, 406)(284, 404, 288, 408)(289, 409, 293, 413)(290, 410, 297, 417)(291, 411, 295, 415)(292, 412, 299, 419)(294, 414, 307, 427)(296, 416, 331, 451)(298, 418, 313, 433)(300, 420, 334, 454)(301, 421, 302, 422)(303, 423, 305, 425)(304, 424, 308, 428)(306, 426, 309, 429)(310, 430, 312, 432)(311, 431, 315, 435)(314, 434, 317, 437)(316, 436, 318, 438)(319, 439, 321, 441)(320, 440, 323, 443)(322, 442, 325, 445)(324, 444, 326, 446)(327, 447, 329, 449)(328, 448, 332, 452)(330, 450, 341, 461)(333, 453, 347, 467)(335, 455, 336, 456)(337, 457, 339, 459)(338, 458, 342, 462)(340, 460, 343, 463)(344, 464, 346, 466)(345, 465, 349, 469)(348, 468, 351, 471)(350, 470, 352, 472)(353, 473, 355, 475)(354, 474, 357, 477)(356, 476, 359, 479)(358, 478, 360, 480)
	L = (1, 243)(2, 245)(3, 248)(4, 241)(5, 252)(6, 242)(7, 255)(8, 257)(9, 256)(10, 244)(11, 260)(12, 262)(13, 261)(14, 246)(15, 265)(16, 247)(17, 266)(18, 249)(19, 250)(20, 269)(21, 251)(22, 270)(23, 253)(24, 254)(25, 273)(26, 274)(27, 258)(28, 259)(29, 277)(30, 278)(31, 263)(32, 264)(33, 281)(34, 282)(35, 267)(36, 268)(37, 285)(38, 286)(39, 271)(40, 272)(41, 289)(42, 290)(43, 275)(44, 276)(45, 293)(46, 294)(47, 279)(48, 280)(49, 297)(50, 298)(51, 283)(52, 284)(53, 307)(54, 313)(55, 287)(56, 288)(57, 301)(58, 304)(59, 291)(60, 292)(61, 308)(62, 305)(63, 312)(64, 310)(65, 309)(66, 317)(67, 302)(68, 306)(69, 315)(70, 314)(71, 321)(72, 311)(73, 303)(74, 319)(75, 318)(76, 325)(77, 316)(78, 323)(79, 322)(80, 329)(81, 320)(82, 327)(83, 326)(84, 341)(85, 324)(86, 332)(87, 330)(88, 336)(89, 328)(90, 335)(91, 295)(92, 347)(93, 339)(94, 296)(95, 337)(96, 338)(97, 340)(98, 343)(99, 344)(100, 345)(101, 333)(102, 346)(103, 348)(104, 349)(105, 350)(106, 351)(107, 342)(108, 352)(109, 353)(110, 354)(111, 355)(112, 356)(113, 357)(114, 358)(115, 359)(116, 360)(117, 334)(118, 331)(119, 300)(120, 299)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 60, 120 ), ( 60, 120, 60, 120 ) }
Outer automorphisms :: reflexible
Dual of E28.2519
Graph:: simple bipartite
	v = 180 e = 240 f = 6
	degree seq :: [ 2^120, 4^60 ]

E28.2521 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 30, 60})
Quotient :: dipole
Aut^+ = C15 x D8 (small group id <120, 32>)
Aut   = D8 x D30 (small group id <240, 179>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y3^2 * Y1^-1 * Y3^2 * Y1, (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y1^-2 * Y3 * Y1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-28, Y1^-4 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map::
	R = (1, 121, 2, 122, 5, 125, 11, 131, 20, 140, 29, 149, 37, 157, 45, 165, 53, 173, 63, 183, 66, 186, 70, 190, 77, 197, 82, 202, 86, 206, 90, 210, 94, 214, 112, 232, 117, 237, 111, 231, 116, 236, 119, 239, 120, 240, 97, 217, 57, 177, 49, 169, 41, 161, 33, 153, 25, 145, 16, 136, 24, 144, 15, 135, 23, 143, 32, 152, 40, 160, 48, 168, 56, 176, 75, 195, 68, 188, 72, 192, 67, 187, 71, 191, 78, 198, 83, 203, 87, 207, 91, 211, 95, 215, 102, 222, 99, 219, 100, 220, 103, 223, 107, 227, 60, 180, 52, 172, 44, 164, 36, 156, 28, 148, 19, 139, 10, 130, 4, 124)(3, 123, 7, 127, 12, 132, 22, 142, 30, 150, 39, 159, 46, 166, 55, 175, 74, 194, 61, 181, 73, 193, 65, 185, 84, 204, 76, 196, 92, 212, 85, 205, 113, 233, 93, 213, 110, 230, 104, 224, 109, 229, 114, 234, 118, 238, 59, 179, 51, 171, 43, 163, 35, 155, 27, 147, 18, 138, 9, 129, 14, 134, 6, 126, 13, 133, 21, 141, 31, 151, 38, 158, 47, 167, 54, 174, 64, 184, 80, 200, 62, 182, 79, 199, 69, 189, 88, 208, 81, 201, 96, 216, 89, 209, 106, 226, 101, 221, 105, 225, 108, 228, 115, 235, 98, 218, 58, 178, 50, 170, 42, 162, 34, 154, 26, 146, 17, 137, 8, 128)(241, 361)(242, 362)(243, 363)(244, 364)(245, 365)(246, 366)(247, 367)(248, 368)(249, 369)(250, 370)(251, 371)(252, 372)(253, 373)(254, 374)(255, 375)(256, 376)(257, 377)(258, 378)(259, 379)(260, 380)(261, 381)(262, 382)(263, 383)(264, 384)(265, 385)(266, 386)(267, 387)(268, 388)(269, 389)(270, 390)(271, 391)(272, 392)(273, 393)(274, 394)(275, 395)(276, 396)(277, 397)(278, 398)(279, 399)(280, 400)(281, 401)(282, 402)(283, 403)(284, 404)(285, 405)(286, 406)(287, 407)(288, 408)(289, 409)(290, 410)(291, 411)(292, 412)(293, 413)(294, 414)(295, 415)(296, 416)(297, 417)(298, 418)(299, 419)(300, 420)(301, 421)(302, 422)(303, 423)(304, 424)(305, 425)(306, 426)(307, 427)(308, 428)(309, 429)(310, 430)(311, 431)(312, 432)(313, 433)(314, 434)(315, 435)(316, 436)(317, 437)(318, 438)(319, 439)(320, 440)(321, 441)(322, 442)(323, 443)(324, 444)(325, 445)(326, 446)(327, 447)(328, 448)(329, 449)(330, 450)(331, 451)(332, 452)(333, 453)(334, 454)(335, 455)(336, 456)(337, 457)(338, 458)(339, 459)(340, 460)(341, 461)(342, 462)(343, 463)(344, 464)(345, 465)(346, 466)(347, 467)(348, 468)(349, 469)(350, 470)(351, 471)(352, 472)(353, 473)(354, 474)(355, 475)(356, 476)(357, 477)(358, 478)(359, 479)(360, 480)
	L = (1, 243)(2, 246)(3, 241)(4, 249)(5, 252)(6, 242)(7, 255)(8, 256)(9, 244)(10, 257)(11, 261)(12, 245)(13, 263)(14, 264)(15, 247)(16, 248)(17, 250)(18, 265)(19, 267)(20, 270)(21, 251)(22, 272)(23, 253)(24, 254)(25, 258)(26, 273)(27, 259)(28, 274)(29, 278)(30, 260)(31, 280)(32, 262)(33, 266)(34, 268)(35, 281)(36, 283)(37, 286)(38, 269)(39, 288)(40, 271)(41, 275)(42, 289)(43, 276)(44, 290)(45, 294)(46, 277)(47, 296)(48, 279)(49, 282)(50, 284)(51, 297)(52, 299)(53, 314)(54, 285)(55, 315)(56, 287)(57, 291)(58, 337)(59, 292)(60, 338)(61, 312)(62, 307)(63, 320)(64, 308)(65, 311)(66, 313)(67, 302)(68, 304)(69, 318)(70, 319)(71, 305)(72, 301)(73, 306)(74, 293)(75, 295)(76, 323)(77, 324)(78, 309)(79, 310)(80, 303)(81, 327)(82, 328)(83, 316)(84, 317)(85, 331)(86, 332)(87, 321)(88, 322)(89, 335)(90, 336)(91, 325)(92, 326)(93, 342)(94, 353)(95, 329)(96, 330)(97, 298)(98, 300)(99, 341)(100, 344)(101, 339)(102, 333)(103, 348)(104, 340)(105, 351)(106, 352)(107, 354)(108, 343)(109, 356)(110, 357)(111, 345)(112, 346)(113, 334)(114, 347)(115, 359)(116, 349)(117, 350)(118, 360)(119, 355)(120, 358)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 4, 60 ), ( 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.2518
Graph:: simple bipartite
	v = 122 e = 240 f = 64
	degree seq :: [ 2^120, 120^2 ]

E28.2522 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 30, 60})
Quotient :: dipole
Aut^+ = C15 x D8 (small group id <120, 32>)
Aut   = D8 x D30 (small group id <240, 179>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^-2 * Y1 * Y2^2 * Y1, (Y2^-1 * R * Y2^-1)^2, (Y2 * Y1 * Y2^-1 * Y1)^2, Y2^25 * Y1 * Y2^3 * Y1 * Y2^2, (Y3 * Y2^-1)^30 ]
Map::
	R = (1, 121, 2, 122)(3, 123, 7, 127)(4, 124, 9, 129)(5, 125, 11, 131)(6, 126, 13, 133)(8, 128, 12, 132)(10, 130, 14, 134)(15, 135, 20, 140)(16, 136, 21, 141)(17, 137, 25, 145)(18, 138, 23, 143)(19, 139, 27, 147)(22, 142, 29, 149)(24, 144, 31, 151)(26, 146, 30, 150)(28, 148, 32, 152)(33, 153, 37, 157)(34, 154, 41, 161)(35, 155, 39, 159)(36, 156, 43, 163)(38, 158, 45, 165)(40, 160, 47, 167)(42, 162, 46, 166)(44, 164, 48, 168)(49, 169, 53, 173)(50, 170, 57, 177)(51, 171, 55, 175)(52, 172, 59, 179)(54, 174, 64, 184)(56, 176, 91, 211)(58, 178, 61, 181)(60, 180, 94, 214)(62, 182, 65, 185)(63, 183, 67, 187)(66, 186, 68, 188)(69, 189, 72, 192)(70, 190, 73, 193)(71, 191, 75, 195)(74, 194, 77, 197)(76, 196, 78, 198)(79, 199, 81, 201)(80, 200, 83, 203)(82, 202, 85, 205)(84, 204, 86, 206)(87, 207, 89, 209)(88, 208, 92, 212)(90, 210, 98, 218)(93, 213, 95, 215)(96, 216, 99, 219)(97, 217, 101, 221)(100, 220, 102, 222)(103, 223, 106, 226)(104, 224, 107, 227)(105, 225, 109, 229)(108, 228, 111, 231)(110, 230, 112, 232)(113, 233, 115, 235)(114, 234, 117, 237)(116, 236, 119, 239)(118, 238, 120, 240)(241, 361, 243, 363, 248, 368, 257, 377, 266, 386, 274, 394, 282, 402, 290, 410, 298, 418, 305, 425, 308, 428, 315, 435, 318, 438, 323, 443, 326, 446, 332, 452, 335, 455, 336, 456, 340, 460, 345, 465, 350, 470, 354, 474, 358, 478, 331, 451, 295, 415, 287, 407, 279, 399, 271, 391, 263, 383, 253, 373, 261, 381, 251, 371, 260, 380, 269, 389, 277, 397, 285, 405, 293, 413, 304, 424, 310, 430, 303, 423, 309, 429, 314, 434, 319, 439, 322, 442, 327, 447, 330, 450, 347, 467, 341, 461, 346, 466, 351, 471, 355, 475, 359, 479, 300, 420, 292, 412, 284, 404, 276, 396, 268, 388, 259, 379, 250, 370, 244, 364)(242, 362, 245, 365, 252, 372, 262, 382, 270, 390, 278, 398, 286, 406, 294, 414, 301, 421, 307, 427, 306, 426, 317, 437, 316, 436, 325, 445, 324, 444, 338, 458, 333, 453, 337, 457, 342, 462, 348, 468, 352, 472, 356, 476, 360, 480, 299, 419, 291, 411, 283, 403, 275, 395, 267, 387, 258, 378, 249, 369, 256, 376, 247, 367, 255, 375, 265, 385, 273, 393, 281, 401, 289, 409, 297, 417, 313, 433, 302, 422, 312, 432, 311, 431, 321, 441, 320, 440, 329, 449, 328, 448, 344, 464, 339, 459, 343, 463, 349, 469, 353, 473, 357, 477, 334, 454, 296, 416, 288, 408, 280, 400, 272, 392, 264, 384, 254, 374, 246, 366)
	L = (1, 242)(2, 241)(3, 247)(4, 249)(5, 251)(6, 253)(7, 243)(8, 252)(9, 244)(10, 254)(11, 245)(12, 248)(13, 246)(14, 250)(15, 260)(16, 261)(17, 265)(18, 263)(19, 267)(20, 255)(21, 256)(22, 269)(23, 258)(24, 271)(25, 257)(26, 270)(27, 259)(28, 272)(29, 262)(30, 266)(31, 264)(32, 268)(33, 277)(34, 281)(35, 279)(36, 283)(37, 273)(38, 285)(39, 275)(40, 287)(41, 274)(42, 286)(43, 276)(44, 288)(45, 278)(46, 282)(47, 280)(48, 284)(49, 293)(50, 297)(51, 295)(52, 299)(53, 289)(54, 304)(55, 291)(56, 331)(57, 290)(58, 301)(59, 292)(60, 334)(61, 298)(62, 305)(63, 307)(64, 294)(65, 302)(66, 308)(67, 303)(68, 306)(69, 312)(70, 313)(71, 315)(72, 309)(73, 310)(74, 317)(75, 311)(76, 318)(77, 314)(78, 316)(79, 321)(80, 323)(81, 319)(82, 325)(83, 320)(84, 326)(85, 322)(86, 324)(87, 329)(88, 332)(89, 327)(90, 338)(91, 296)(92, 328)(93, 335)(94, 300)(95, 333)(96, 339)(97, 341)(98, 330)(99, 336)(100, 342)(101, 337)(102, 340)(103, 346)(104, 347)(105, 349)(106, 343)(107, 344)(108, 351)(109, 345)(110, 352)(111, 348)(112, 350)(113, 355)(114, 357)(115, 353)(116, 359)(117, 354)(118, 360)(119, 356)(120, 358)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 2, 60, 2, 60 ), ( 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.2523
Graph:: bipartite
	v = 62 e = 240 f = 124
	degree seq :: [ 4^60, 120^2 ]

E28.2523 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 30, 60})
Quotient :: dipole
Aut^+ = C15 x D8 (small group id <120, 32>)
Aut   = D8 x D30 (small group id <240, 179>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y3^-3 * Y1^-1 * Y3 * Y1^-1, Y3^-1 * Y1 * Y3^-1 * Y1^-3, Y3^-1 * Y1 * Y3^-1 * Y1^27, (Y3 * Y2^-1)^60 ]
Map::
	R = (1, 121, 2, 122, 6, 126, 16, 136, 28, 148, 37, 157, 45, 165, 53, 173, 61, 181, 69, 189, 77, 197, 85, 205, 93, 213, 101, 221, 109, 229, 117, 237, 116, 236, 106, 226, 97, 217, 91, 211, 84, 204, 74, 194, 65, 185, 59, 179, 52, 172, 42, 162, 33, 153, 26, 146, 13, 133, 4, 124)(3, 123, 9, 129, 17, 137, 8, 128, 21, 141, 29, 149, 39, 159, 46, 166, 55, 175, 62, 182, 71, 191, 78, 198, 87, 207, 94, 214, 103, 223, 110, 230, 119, 239, 114, 234, 105, 225, 99, 219, 92, 212, 82, 202, 73, 193, 67, 187, 60, 180, 50, 170, 41, 161, 35, 155, 27, 147, 11, 131)(5, 125, 14, 134, 18, 138, 31, 151, 38, 158, 47, 167, 54, 174, 63, 183, 70, 190, 79, 199, 86, 206, 95, 215, 102, 222, 111, 231, 118, 238, 115, 235, 108, 228, 98, 218, 89, 209, 83, 203, 76, 196, 66, 186, 57, 177, 51, 171, 44, 164, 34, 154, 24, 144, 12, 132, 20, 140, 7, 127)(10, 130, 19, 139, 30, 150, 23, 143, 15, 135, 22, 142, 32, 152, 40, 160, 48, 168, 56, 176, 64, 184, 72, 192, 80, 200, 88, 208, 96, 216, 104, 224, 112, 232, 120, 240, 113, 233, 107, 227, 100, 220, 90, 210, 81, 201, 75, 195, 68, 188, 58, 178, 49, 169, 43, 163, 36, 156, 25, 145)(241, 361)(242, 362)(243, 363)(244, 364)(245, 365)(246, 366)(247, 367)(248, 368)(249, 369)(250, 370)(251, 371)(252, 372)(253, 373)(254, 374)(255, 375)(256, 376)(257, 377)(258, 378)(259, 379)(260, 380)(261, 381)(262, 382)(263, 383)(264, 384)(265, 385)(266, 386)(267, 387)(268, 388)(269, 389)(270, 390)(271, 391)(272, 392)(273, 393)(274, 394)(275, 395)(276, 396)(277, 397)(278, 398)(279, 399)(280, 400)(281, 401)(282, 402)(283, 403)(284, 404)(285, 405)(286, 406)(287, 407)(288, 408)(289, 409)(290, 410)(291, 411)(292, 412)(293, 413)(294, 414)(295, 415)(296, 416)(297, 417)(298, 418)(299, 419)(300, 420)(301, 421)(302, 422)(303, 423)(304, 424)(305, 425)(306, 426)(307, 427)(308, 428)(309, 429)(310, 430)(311, 431)(312, 432)(313, 433)(314, 434)(315, 435)(316, 436)(317, 437)(318, 438)(319, 439)(320, 440)(321, 441)(322, 442)(323, 443)(324, 444)(325, 445)(326, 446)(327, 447)(328, 448)(329, 449)(330, 450)(331, 451)(332, 452)(333, 453)(334, 454)(335, 455)(336, 456)(337, 457)(338, 458)(339, 459)(340, 460)(341, 461)(342, 462)(343, 463)(344, 464)(345, 465)(346, 466)(347, 467)(348, 468)(349, 469)(350, 470)(351, 471)(352, 472)(353, 473)(354, 474)(355, 475)(356, 476)(357, 477)(358, 478)(359, 479)(360, 480)
	L = (1, 243)(2, 247)(3, 250)(4, 252)(5, 241)(6, 257)(7, 259)(8, 242)(9, 244)(10, 264)(11, 266)(12, 265)(13, 267)(14, 263)(15, 245)(16, 254)(17, 270)(18, 246)(19, 251)(20, 253)(21, 255)(22, 248)(23, 249)(24, 273)(25, 275)(26, 274)(27, 276)(28, 261)(29, 256)(30, 260)(31, 262)(32, 258)(33, 281)(34, 283)(35, 282)(36, 284)(37, 271)(38, 268)(39, 272)(40, 269)(41, 289)(42, 291)(43, 290)(44, 292)(45, 279)(46, 277)(47, 280)(48, 278)(49, 297)(50, 299)(51, 298)(52, 300)(53, 287)(54, 285)(55, 288)(56, 286)(57, 305)(58, 307)(59, 306)(60, 308)(61, 295)(62, 293)(63, 296)(64, 294)(65, 313)(66, 315)(67, 314)(68, 316)(69, 303)(70, 301)(71, 304)(72, 302)(73, 321)(74, 323)(75, 322)(76, 324)(77, 311)(78, 309)(79, 312)(80, 310)(81, 329)(82, 331)(83, 330)(84, 332)(85, 319)(86, 317)(87, 320)(88, 318)(89, 337)(90, 339)(91, 338)(92, 340)(93, 327)(94, 325)(95, 328)(96, 326)(97, 345)(98, 347)(99, 346)(100, 348)(101, 335)(102, 333)(103, 336)(104, 334)(105, 353)(106, 355)(107, 354)(108, 356)(109, 343)(110, 341)(111, 344)(112, 342)(113, 358)(114, 357)(115, 360)(116, 359)(117, 351)(118, 349)(119, 352)(120, 350)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 4, 120 ), ( 4, 120, 4, 120, 4, 120, 4, 120, 4, 120, 4, 120, 4, 120, 4, 120, 4, 120, 4, 120, 4, 120, 4, 120, 4, 120, 4, 120, 4, 120, 4, 120, 4, 120, 4, 120, 4, 120, 4, 120, 4, 120, 4, 120, 4, 120, 4, 120, 4, 120, 4, 120, 4, 120, 4, 120, 4, 120, 4, 120 ) }
Outer automorphisms :: reflexible
Dual of E28.2522
Graph:: simple bipartite
	v = 124 e = 240 f = 62
	degree seq :: [ 2^120, 60^4 ]

E28.2524 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 6, 14})
Quotient :: edge
Aut^+ = S3 x (C7 : C3) (small group id <126, 8>)
Aut   = S3 x (C7 : C3) (small group id <126, 8>)
|r| :: 1
Presentation :: [ X1^3, X2^6, X2 * X1^-1 * X2^-1 * X1 * X2^-2 * X1, (X2 * X1 * X2)^3, X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2 * X1^-1 * X2^3 * X1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 4)(3, 8, 10)(5, 13, 14)(6, 16, 18)(7, 19, 20)(9, 24, 26)(11, 29, 31)(12, 32, 33)(15, 39, 40)(17, 43, 45)(21, 23, 50)(22, 51, 53)(25, 57, 58)(27, 35, 61)(28, 30, 62)(34, 42, 69)(36, 71, 72)(37, 73, 74)(38, 75, 76)(41, 81, 83)(44, 86, 87)(46, 47, 90)(48, 92, 93)(49, 94, 95)(52, 77, 99)(54, 56, 101)(55, 102, 79)(59, 60, 105)(63, 98, 109)(64, 106, 111)(65, 112, 107)(66, 67, 113)(68, 103, 104)(70, 115, 82)(78, 108, 116)(80, 100, 96)(84, 85, 118)(88, 89, 119)(91, 120, 110)(97, 117, 114)(121, 122, 125)(123, 126, 124)(127, 129, 135, 151, 141, 131)(128, 132, 143, 170, 147, 133)(130, 137, 156, 191, 160, 138)(134, 148, 178, 219, 180, 149)(136, 153, 186, 207, 189, 154)(139, 161, 196, 175, 146, 162)(140, 163, 158, 193, 203, 164)(142, 167, 208, 200, 210, 168)(144, 172, 215, 232, 185, 152)(145, 173, 217, 194, 159, 174)(150, 181, 195, 240, 229, 182)(155, 190, 236, 198, 204, 165)(157, 192, 224, 177, 214, 171)(166, 205, 201, 211, 169, 206)(176, 222, 220, 234, 188, 223)(179, 226, 248, 241, 216, 184)(183, 199, 235, 250, 242, 230)(187, 233, 237, 228, 247, 225)(197, 231, 249, 227, 202, 212)(209, 243, 251, 246, 239, 213)(218, 245, 252, 244, 221, 238)
	L = (1, 127)(2, 128)(3, 129)(4, 130)(5, 131)(6, 132)(7, 133)(8, 134)(9, 135)(10, 136)(11, 137)(12, 138)(13, 139)(14, 140)(15, 141)(16, 142)(17, 143)(18, 144)(19, 145)(20, 146)(21, 147)(22, 148)(23, 149)(24, 150)(25, 151)(26, 152)(27, 153)(28, 154)(29, 155)(30, 156)(31, 157)(32, 158)(33, 159)(34, 160)(35, 161)(36, 162)(37, 163)(38, 164)(39, 165)(40, 166)(41, 167)(42, 168)(43, 169)(44, 170)(45, 171)(46, 172)(47, 173)(48, 174)(49, 175)(50, 176)(51, 177)(52, 178)(53, 179)(54, 180)(55, 181)(56, 182)(57, 183)(58, 184)(59, 185)(60, 186)(61, 187)(62, 188)(63, 189)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)
	local type(s) :: { ( 28^3 ), ( 28^6 ) }
Outer automorphisms :: chiral
Dual of E28.2529
Transitivity :: ET+
Graph:: simple bipartite
	v = 63 e = 126 f = 9
	degree seq :: [ 3^42, 6^21 ]

E28.2525 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 6, 14})
Quotient :: edge
Aut^+ = S3 x (C7 : C3) (small group id <126, 8>)
Aut   = S3 x (C7 : C3) (small group id <126, 8>)
|r| :: 1
Presentation :: [ (X2 * X1^-1)^3, (X2^-1 * X1^-1)^3, X1^6, X2^-2 * X1^-1 * X2^-1 * X1^2 * X2 * X1^-1, X2 * X1^-1 * X2^-2 * X1 * X2^3, X1^-2 * X2^-1 * X1^-1 * X2 * X1 * X2^-1 * X1^-1, X1 * X2^3 * X1^-2 * X2 * X1, X1^-1 * X2^3 * X1 * X2^-1 * X1^-1 * X2 * X1^-2, X1^-1 * X2^2 * X1 * X2 * X1^-1 * X2^4 * X1 * X2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 6, 18, 13, 4)(3, 9, 27, 71, 33, 11)(5, 15, 42, 88, 45, 16)(7, 21, 57, 29, 62, 23)(8, 24, 64, 43, 67, 25)(10, 30, 74, 96, 79, 32)(12, 35, 70, 118, 85, 37)(14, 40, 60, 112, 72, 28)(17, 46, 93, 98, 81, 47)(19, 51, 99, 58, 103, 53)(20, 54, 104, 65, 106, 55)(22, 59, 110, 86, 113, 61)(26, 68, 117, 87, 115, 69)(31, 76, 111, 63, 39, 78)(34, 50, 97, 84, 105, 75)(36, 77, 102, 52, 101, 82)(38, 83, 48, 94, 116, 66)(41, 89, 108, 56, 107, 90)(44, 49, 95, 91, 100, 92)(73, 120, 123, 122, 126, 114)(80, 119, 124, 109, 125, 121)(127, 129, 136, 157, 203, 232, 195, 240, 187, 229, 215, 174, 143, 131)(128, 133, 148, 186, 156, 201, 234, 250, 228, 218, 172, 196, 152, 134)(130, 138, 162, 210, 239, 193, 173, 206, 158, 188, 241, 217, 167, 140)(132, 145, 178, 168, 185, 237, 219, 246, 200, 242, 194, 153, 182, 146)(135, 154, 179, 223, 202, 247, 220, 221, 181, 163, 141, 169, 199, 155)(137, 150, 191, 235, 184, 147, 142, 170, 204, 238, 252, 244, 209, 160)(139, 164, 212, 230, 205, 171, 216, 248, 208, 159, 207, 225, 213, 165)(144, 175, 222, 190, 227, 198, 243, 251, 236, 211, 233, 183, 224, 176)(149, 180, 231, 249, 226, 177, 151, 192, 166, 214, 245, 197, 161, 189)
	L = (1, 127)(2, 128)(3, 129)(4, 130)(5, 131)(6, 132)(7, 133)(8, 134)(9, 135)(10, 136)(11, 137)(12, 138)(13, 139)(14, 140)(15, 141)(16, 142)(17, 143)(18, 144)(19, 145)(20, 146)(21, 147)(22, 148)(23, 149)(24, 150)(25, 151)(26, 152)(27, 153)(28, 154)(29, 155)(30, 156)(31, 157)(32, 158)(33, 159)(34, 160)(35, 161)(36, 162)(37, 163)(38, 164)(39, 165)(40, 166)(41, 167)(42, 168)(43, 169)(44, 170)(45, 171)(46, 172)(47, 173)(48, 174)(49, 175)(50, 176)(51, 177)(52, 178)(53, 179)(54, 180)(55, 181)(56, 182)(57, 183)(58, 184)(59, 185)(60, 186)(61, 187)(62, 188)(63, 189)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)
	local type(s) :: { ( 6^6 ), ( 6^14 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 30 e = 126 f = 42
	degree seq :: [ 6^21, 14^9 ]

E28.2526 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 6, 14})
Quotient :: edge
Aut^+ = S3 x (C7 : C3) (small group id <126, 8>)
Aut   = S3 x (C7 : C3) (small group id <126, 8>)
|r| :: 1
Presentation :: [ X2^3, X1^-1 * X2 * X1 * X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2, X1^2 * X2 * X1^-4 * X2^-1, (X1^2 * X2^-1)^3, (X1 * X2 * X1)^3, X2 * X1 * X2 * X1 * X2^-1 * X1^-3 * X2^-1 * X1^-1, (X1^-1 * X2^-1 * X1 * X2^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 2, 6, 16, 42, 92, 69, 109, 62, 104, 78, 32, 12, 4)(3, 9, 23, 46, 17, 45, 90, 122, 85, 76, 31, 68, 27, 10)(5, 14, 36, 84, 61, 79, 33, 48, 18, 47, 67, 89, 40, 15)(7, 19, 49, 94, 43, 93, 77, 118, 74, 30, 11, 29, 53, 20)(8, 21, 55, 111, 82, 35, 13, 34, 44, 95, 108, 115, 59, 22)(24, 63, 117, 72, 98, 123, 107, 52, 96, 66, 26, 50, 105, 64)(25, 65, 97, 125, 119, 71, 28, 70, 99, 58, 114, 80, 112, 56)(37, 73, 100, 51, 106, 124, 120, 75, 110, 54, 39, 88, 102, 86)(38, 60, 116, 126, 101, 81, 41, 91, 113, 57, 103, 83, 121, 87)(127, 129, 131)(128, 133, 134)(130, 137, 139)(132, 143, 144)(135, 150, 151)(136, 152, 154)(138, 157, 159)(140, 163, 164)(141, 165, 167)(142, 169, 170)(145, 176, 177)(146, 178, 180)(147, 182, 183)(148, 184, 186)(149, 187, 188)(153, 193, 195)(155, 198, 199)(156, 190, 201)(158, 203, 185)(160, 206, 207)(161, 196, 209)(162, 168, 211)(166, 204, 216)(171, 222, 223)(172, 224, 225)(173, 226, 227)(174, 228, 229)(175, 208, 230)(179, 234, 235)(181, 218, 200)(189, 214, 220)(191, 213, 221)(192, 212, 244)(194, 233, 238)(197, 217, 241)(202, 243, 245)(205, 236, 242)(210, 232, 239)(215, 246, 247)(219, 249, 250)(231, 240, 248)(237, 251, 252)
	L = (1, 127)(2, 128)(3, 129)(4, 130)(5, 131)(6, 132)(7, 133)(8, 134)(9, 135)(10, 136)(11, 137)(12, 138)(13, 139)(14, 140)(15, 141)(16, 142)(17, 143)(18, 144)(19, 145)(20, 146)(21, 147)(22, 148)(23, 149)(24, 150)(25, 151)(26, 152)(27, 153)(28, 154)(29, 155)(30, 156)(31, 157)(32, 158)(33, 159)(34, 160)(35, 161)(36, 162)(37, 163)(38, 164)(39, 165)(40, 166)(41, 167)(42, 168)(43, 169)(44, 170)(45, 171)(46, 172)(47, 173)(48, 174)(49, 175)(50, 176)(51, 177)(52, 178)(53, 179)(54, 180)(55, 181)(56, 182)(57, 183)(58, 184)(59, 185)(60, 186)(61, 187)(62, 188)(63, 189)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)
	local type(s) :: { ( 12^3 ), ( 12^14 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 51 e = 126 f = 21
	degree seq :: [ 3^42, 14^9 ]

E28.2527 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 6, 14})
Quotient :: loop
Aut^+ = S3 x (C7 : C3) (small group id <126, 8>)
Aut   = S3 x (C7 : C3) (small group id <126, 8>)
|r| :: 1
Presentation :: [ X1^3, X2^6, X2 * X1^-1 * X2^-1 * X1 * X2^-2 * X1, (X2 * X1 * X2)^3, X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2 * X1^-1 * X2^3 * X1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 127, 2, 128, 4, 130)(3, 129, 8, 134, 10, 136)(5, 131, 13, 139, 14, 140)(6, 132, 16, 142, 18, 144)(7, 133, 19, 145, 20, 146)(9, 135, 24, 150, 26, 152)(11, 137, 29, 155, 31, 157)(12, 138, 32, 158, 33, 159)(15, 141, 39, 165, 40, 166)(17, 143, 43, 169, 45, 171)(21, 147, 23, 149, 50, 176)(22, 148, 51, 177, 53, 179)(25, 151, 57, 183, 58, 184)(27, 153, 35, 161, 61, 187)(28, 154, 30, 156, 62, 188)(34, 160, 42, 168, 69, 195)(36, 162, 71, 197, 72, 198)(37, 163, 73, 199, 74, 200)(38, 164, 75, 201, 76, 202)(41, 167, 81, 207, 83, 209)(44, 170, 86, 212, 87, 213)(46, 172, 47, 173, 90, 216)(48, 174, 92, 218, 93, 219)(49, 175, 94, 220, 95, 221)(52, 178, 77, 203, 99, 225)(54, 180, 56, 182, 101, 227)(55, 181, 102, 228, 79, 205)(59, 185, 60, 186, 105, 231)(63, 189, 98, 224, 109, 235)(64, 190, 106, 232, 111, 237)(65, 191, 112, 238, 107, 233)(66, 192, 67, 193, 113, 239)(68, 194, 103, 229, 104, 230)(70, 196, 115, 241, 82, 208)(78, 204, 108, 234, 116, 242)(80, 206, 100, 226, 96, 222)(84, 210, 85, 211, 118, 244)(88, 214, 89, 215, 119, 245)(91, 217, 120, 246, 110, 236)(97, 223, 117, 243, 114, 240)(121, 247, 122, 248, 125, 251)(123, 249, 126, 252, 124, 250)
	L = (1, 129)(2, 132)(3, 135)(4, 137)(5, 127)(6, 143)(7, 128)(8, 148)(9, 151)(10, 153)(11, 156)(12, 130)(13, 161)(14, 163)(15, 131)(16, 167)(17, 170)(18, 172)(19, 173)(20, 162)(21, 133)(22, 178)(23, 134)(24, 181)(25, 141)(26, 144)(27, 186)(28, 136)(29, 190)(30, 191)(31, 192)(32, 193)(33, 174)(34, 138)(35, 196)(36, 139)(37, 158)(38, 140)(39, 155)(40, 205)(41, 208)(42, 142)(43, 206)(44, 147)(45, 157)(46, 215)(47, 217)(48, 145)(49, 146)(50, 222)(51, 214)(52, 219)(53, 226)(54, 149)(55, 195)(56, 150)(57, 199)(58, 179)(59, 152)(60, 207)(61, 233)(62, 223)(63, 154)(64, 236)(65, 160)(66, 224)(67, 203)(68, 159)(69, 240)(70, 175)(71, 231)(72, 204)(73, 235)(74, 210)(75, 211)(76, 212)(77, 164)(78, 165)(79, 201)(80, 166)(81, 189)(82, 200)(83, 243)(84, 168)(85, 169)(86, 197)(87, 209)(88, 171)(89, 232)(90, 184)(91, 194)(92, 245)(93, 180)(94, 234)(95, 238)(96, 220)(97, 176)(98, 177)(99, 187)(100, 248)(101, 202)(102, 247)(103, 182)(104, 183)(105, 249)(106, 185)(107, 237)(108, 188)(109, 250)(110, 198)(111, 228)(112, 218)(113, 213)(114, 229)(115, 216)(116, 230)(117, 251)(118, 221)(119, 252)(120, 239)(121, 225)(122, 241)(123, 227)(124, 242)(125, 246)(126, 244)
	local type(s) :: { ( 6, 14, 6, 14, 6, 14 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: simple bipartite
	v = 42 e = 126 f = 30
	degree seq :: [ 6^42 ]

E28.2528 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 6, 14})
Quotient :: loop
Aut^+ = S3 x (C7 : C3) (small group id <126, 8>)
Aut   = S3 x (C7 : C3) (small group id <126, 8>)
|r| :: 1
Presentation :: [ (X2 * X1^-1)^3, (X2^-1 * X1^-1)^3, X1^6, X2^-2 * X1^-1 * X2^-1 * X1^2 * X2 * X1^-1, X2 * X1^-1 * X2^-2 * X1 * X2^3, X1^-2 * X2^-1 * X1^-1 * X2 * X1 * X2^-1 * X1^-1, X1 * X2^3 * X1^-2 * X2 * X1, X1^-1 * X2^3 * X1 * X2^-1 * X1^-1 * X2 * X1^-2, X1^-1 * X2^2 * X1 * X2 * X1^-1 * X2^4 * X1 * X2 ]
Map:: polytopal non-degenerate
	R = (1, 127, 2, 128, 6, 132, 18, 144, 13, 139, 4, 130)(3, 129, 9, 135, 27, 153, 71, 197, 33, 159, 11, 137)(5, 131, 15, 141, 42, 168, 88, 214, 45, 171, 16, 142)(7, 133, 21, 147, 57, 183, 29, 155, 62, 188, 23, 149)(8, 134, 24, 150, 64, 190, 43, 169, 67, 193, 25, 151)(10, 136, 30, 156, 74, 200, 96, 222, 79, 205, 32, 158)(12, 138, 35, 161, 70, 196, 118, 244, 85, 211, 37, 163)(14, 140, 40, 166, 60, 186, 112, 238, 72, 198, 28, 154)(17, 143, 46, 172, 93, 219, 98, 224, 81, 207, 47, 173)(19, 145, 51, 177, 99, 225, 58, 184, 103, 229, 53, 179)(20, 146, 54, 180, 104, 230, 65, 191, 106, 232, 55, 181)(22, 148, 59, 185, 110, 236, 86, 212, 113, 239, 61, 187)(26, 152, 68, 194, 117, 243, 87, 213, 115, 241, 69, 195)(31, 157, 76, 202, 111, 237, 63, 189, 39, 165, 78, 204)(34, 160, 50, 176, 97, 223, 84, 210, 105, 231, 75, 201)(36, 162, 77, 203, 102, 228, 52, 178, 101, 227, 82, 208)(38, 164, 83, 209, 48, 174, 94, 220, 116, 242, 66, 192)(41, 167, 89, 215, 108, 234, 56, 182, 107, 233, 90, 216)(44, 170, 49, 175, 95, 221, 91, 217, 100, 226, 92, 218)(73, 199, 120, 246, 123, 249, 122, 248, 126, 252, 114, 240)(80, 206, 119, 245, 124, 250, 109, 235, 125, 251, 121, 247)
	L = (1, 129)(2, 133)(3, 136)(4, 138)(5, 127)(6, 145)(7, 148)(8, 128)(9, 154)(10, 157)(11, 150)(12, 162)(13, 164)(14, 130)(15, 169)(16, 170)(17, 131)(18, 175)(19, 178)(20, 132)(21, 142)(22, 186)(23, 180)(24, 191)(25, 192)(26, 134)(27, 182)(28, 179)(29, 135)(30, 201)(31, 203)(32, 188)(33, 207)(34, 137)(35, 189)(36, 210)(37, 141)(38, 212)(39, 139)(40, 214)(41, 140)(42, 185)(43, 199)(44, 204)(45, 216)(46, 196)(47, 206)(48, 143)(49, 222)(50, 144)(51, 151)(52, 168)(53, 223)(54, 231)(55, 163)(56, 146)(57, 224)(58, 147)(59, 237)(60, 156)(61, 229)(62, 241)(63, 149)(64, 227)(65, 235)(66, 166)(67, 173)(68, 153)(69, 240)(70, 152)(71, 161)(72, 243)(73, 155)(74, 242)(75, 234)(76, 247)(77, 232)(78, 238)(79, 171)(80, 158)(81, 225)(82, 159)(83, 160)(84, 239)(85, 233)(86, 230)(87, 165)(88, 245)(89, 174)(90, 248)(91, 167)(92, 172)(93, 246)(94, 221)(95, 181)(96, 190)(97, 202)(98, 176)(99, 213)(100, 177)(101, 198)(102, 218)(103, 215)(104, 205)(105, 249)(106, 195)(107, 183)(108, 250)(109, 184)(110, 211)(111, 219)(112, 252)(113, 193)(114, 187)(115, 217)(116, 194)(117, 251)(118, 209)(119, 197)(120, 200)(121, 220)(122, 208)(123, 226)(124, 228)(125, 236)(126, 244)
	local type(s) :: { ( 3, 14, 3, 14, 3, 14, 3, 14, 3, 14, 3, 14 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: simple
	v = 21 e = 126 f = 51
	degree seq :: [ 12^21 ]

E28.2529 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 6, 14})
Quotient :: loop
Aut^+ = S3 x (C7 : C3) (small group id <126, 8>)
Aut   = S3 x (C7 : C3) (small group id <126, 8>)
|r| :: 1
Presentation :: [ X2^3, X1^-1 * X2 * X1 * X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2, X1^2 * X2 * X1^-4 * X2^-1, (X1^2 * X2^-1)^3, (X1 * X2 * X1)^3, X2 * X1 * X2 * X1 * X2^-1 * X1^-3 * X2^-1 * X1^-1, (X1^-1 * X2^-1 * X1 * X2^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 127, 2, 128, 6, 132, 16, 142, 42, 168, 92, 218, 69, 195, 109, 235, 62, 188, 104, 230, 78, 204, 32, 158, 12, 138, 4, 130)(3, 129, 9, 135, 23, 149, 46, 172, 17, 143, 45, 171, 90, 216, 122, 248, 85, 211, 76, 202, 31, 157, 68, 194, 27, 153, 10, 136)(5, 131, 14, 140, 36, 162, 84, 210, 61, 187, 79, 205, 33, 159, 48, 174, 18, 144, 47, 173, 67, 193, 89, 215, 40, 166, 15, 141)(7, 133, 19, 145, 49, 175, 94, 220, 43, 169, 93, 219, 77, 203, 118, 244, 74, 200, 30, 156, 11, 137, 29, 155, 53, 179, 20, 146)(8, 134, 21, 147, 55, 181, 111, 237, 82, 208, 35, 161, 13, 139, 34, 160, 44, 170, 95, 221, 108, 234, 115, 241, 59, 185, 22, 148)(24, 150, 63, 189, 117, 243, 72, 198, 98, 224, 123, 249, 107, 233, 52, 178, 96, 222, 66, 192, 26, 152, 50, 176, 105, 231, 64, 190)(25, 151, 65, 191, 97, 223, 125, 251, 119, 245, 71, 197, 28, 154, 70, 196, 99, 225, 58, 184, 114, 240, 80, 206, 112, 238, 56, 182)(37, 163, 73, 199, 100, 226, 51, 177, 106, 232, 124, 250, 120, 246, 75, 201, 110, 236, 54, 180, 39, 165, 88, 214, 102, 228, 86, 212)(38, 164, 60, 186, 116, 242, 126, 252, 101, 227, 81, 207, 41, 167, 91, 217, 113, 239, 57, 183, 103, 229, 83, 209, 121, 247, 87, 213)
	L = (1, 129)(2, 133)(3, 131)(4, 137)(5, 127)(6, 143)(7, 134)(8, 128)(9, 150)(10, 152)(11, 139)(12, 157)(13, 130)(14, 163)(15, 165)(16, 169)(17, 144)(18, 132)(19, 176)(20, 178)(21, 182)(22, 184)(23, 187)(24, 151)(25, 135)(26, 154)(27, 193)(28, 136)(29, 198)(30, 190)(31, 159)(32, 203)(33, 138)(34, 206)(35, 196)(36, 168)(37, 164)(38, 140)(39, 167)(40, 204)(41, 141)(42, 211)(43, 170)(44, 142)(45, 222)(46, 224)(47, 226)(48, 228)(49, 208)(50, 177)(51, 145)(52, 180)(53, 234)(54, 146)(55, 218)(56, 183)(57, 147)(58, 186)(59, 158)(60, 148)(61, 188)(62, 149)(63, 214)(64, 201)(65, 213)(66, 212)(67, 195)(68, 233)(69, 153)(70, 209)(71, 217)(72, 199)(73, 155)(74, 181)(75, 156)(76, 243)(77, 185)(78, 216)(79, 236)(80, 207)(81, 160)(82, 230)(83, 161)(84, 232)(85, 162)(86, 244)(87, 221)(88, 220)(89, 246)(90, 166)(91, 241)(92, 200)(93, 249)(94, 189)(95, 191)(96, 223)(97, 171)(98, 225)(99, 172)(100, 227)(101, 173)(102, 229)(103, 174)(104, 175)(105, 240)(106, 239)(107, 238)(108, 235)(109, 179)(110, 242)(111, 251)(112, 194)(113, 210)(114, 248)(115, 197)(116, 205)(117, 245)(118, 192)(119, 202)(120, 247)(121, 215)(122, 231)(123, 250)(124, 219)(125, 252)(126, 237)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: chiral
Dual of E28.2524
Transitivity :: ET+ VT+
Graph::
	v = 9 e = 126 f = 63
	degree seq :: [ 28^9 ]

E28.2530 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 21, 42})
Quotient :: regular
Aut^+ = C21 x S3 (small group id <126, 12>)
Aut   = S3 x D42 (small group id <252, 36>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^2 * T2 * T1^-1, T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2, T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2, T2 * T1^-3 * T2 * T1^-17 * T2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 32, 47, 61, 73, 85, 97, 109, 121, 115, 103, 91, 79, 67, 55, 41, 54, 40, 53, 39, 52, 66, 78, 90, 102, 114, 126, 120, 108, 96, 84, 72, 60, 46, 31, 19, 10, 4)(3, 7, 12, 22, 33, 49, 62, 75, 86, 99, 110, 123, 118, 106, 94, 82, 70, 58, 44, 29, 38, 24, 37, 23, 36, 50, 65, 76, 89, 100, 113, 124, 117, 105, 93, 81, 69, 57, 43, 28, 17, 8)(6, 13, 21, 34, 48, 63, 74, 87, 98, 111, 122, 116, 104, 92, 80, 68, 56, 42, 27, 16, 26, 15, 25, 35, 51, 64, 77, 88, 101, 112, 125, 119, 107, 95, 83, 71, 59, 45, 30, 18, 9, 14)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 21)(13, 23)(14, 24)(18, 29)(19, 30)(20, 33)(22, 35)(25, 39)(26, 40)(27, 41)(28, 42)(31, 43)(32, 48)(34, 50)(36, 52)(37, 53)(38, 54)(44, 55)(45, 58)(46, 59)(47, 62)(49, 64)(51, 66)(56, 67)(57, 68)(60, 69)(61, 74)(63, 76)(65, 78)(70, 79)(71, 82)(72, 83)(73, 86)(75, 88)(77, 90)(80, 91)(81, 92)(84, 93)(85, 98)(87, 100)(89, 102)(94, 103)(95, 106)(96, 107)(97, 110)(99, 112)(101, 114)(104, 115)(105, 116)(108, 117)(109, 122)(111, 124)(113, 126)(118, 121)(119, 123)(120, 125)
	local type(s) :: { ( 21^42 ) }
Outer automorphisms :: reflexible
Dual of E28.2531
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 3 e = 63 f = 6
	degree seq :: [ 42^3 ]

E28.2531 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 21, 42})
Quotient :: regular
Aut^+ = C21 x S3 (small group id <126, 12>)
Aut   = S3 x D42 (small group id <252, 36>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-3 * T2 * T1^3 * T2, T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1, T1^21 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 39, 53, 65, 77, 89, 101, 112, 100, 88, 76, 64, 52, 38, 22, 10, 4)(3, 7, 15, 24, 41, 56, 66, 79, 92, 102, 114, 120, 109, 97, 85, 73, 61, 49, 35, 18, 8)(6, 13, 27, 40, 55, 68, 78, 91, 104, 113, 122, 111, 99, 87, 75, 63, 51, 37, 21, 30, 14)(9, 19, 26, 12, 25, 42, 54, 67, 80, 90, 103, 115, 121, 110, 98, 86, 74, 62, 50, 36, 20)(16, 28, 43, 57, 69, 81, 93, 105, 116, 123, 126, 119, 108, 96, 84, 72, 60, 48, 34, 46, 32)(17, 29, 44, 31, 45, 58, 70, 82, 94, 106, 117, 124, 125, 118, 107, 95, 83, 71, 59, 47, 33)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 31)(18, 34)(19, 32)(20, 33)(22, 35)(23, 40)(25, 43)(26, 44)(27, 45)(30, 46)(36, 48)(37, 47)(38, 50)(39, 54)(41, 57)(42, 58)(49, 59)(51, 60)(52, 63)(53, 66)(55, 69)(56, 70)(61, 72)(62, 71)(64, 73)(65, 78)(67, 81)(68, 82)(74, 84)(75, 83)(76, 86)(77, 90)(79, 93)(80, 94)(85, 95)(87, 96)(88, 99)(89, 102)(91, 105)(92, 106)(97, 108)(98, 107)(100, 109)(101, 113)(103, 116)(104, 117)(110, 119)(111, 118)(112, 121)(114, 123)(115, 124)(120, 125)(122, 126)
	local type(s) :: { ( 42^21 ) }
Outer automorphisms :: reflexible
Dual of E28.2530
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 6 e = 63 f = 3
	degree seq :: [ 21^6 ]

E28.2532 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 21, 42})
Quotient :: edge
Aut^+ = C21 x S3 (small group id <126, 12>)
Aut   = S3 x D42 (small group id <252, 36>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^3 * T1 * T2^-2, T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1, T2^21 ]
Map::
	R = (1, 3, 8, 18, 35, 49, 61, 73, 85, 97, 109, 112, 100, 88, 76, 64, 52, 38, 22, 10, 4)(2, 5, 12, 26, 43, 55, 67, 79, 91, 103, 115, 118, 106, 94, 82, 70, 58, 46, 30, 14, 6)(7, 15, 31, 47, 59, 71, 83, 95, 107, 119, 122, 111, 99, 87, 75, 63, 51, 37, 21, 32, 16)(9, 19, 34, 17, 33, 48, 60, 72, 84, 96, 108, 120, 121, 110, 98, 86, 74, 62, 50, 36, 20)(11, 23, 39, 53, 65, 77, 89, 101, 113, 123, 126, 117, 105, 93, 81, 69, 57, 45, 29, 40, 24)(13, 27, 42, 25, 41, 54, 66, 78, 90, 102, 114, 124, 125, 116, 104, 92, 80, 68, 56, 44, 28)(127, 128)(129, 133)(130, 135)(131, 137)(132, 139)(134, 143)(136, 147)(138, 151)(140, 155)(141, 149)(142, 153)(144, 152)(145, 150)(146, 154)(148, 156)(157, 167)(158, 166)(159, 165)(160, 168)(161, 173)(162, 171)(163, 170)(164, 176)(169, 179)(172, 182)(174, 180)(175, 186)(177, 183)(178, 189)(181, 192)(184, 195)(185, 191)(187, 193)(188, 194)(190, 196)(197, 204)(198, 203)(199, 209)(200, 207)(201, 206)(202, 212)(205, 215)(208, 218)(210, 216)(211, 222)(213, 219)(214, 225)(217, 228)(220, 231)(221, 227)(223, 229)(224, 230)(226, 232)(233, 240)(234, 239)(235, 245)(236, 243)(237, 242)(238, 247)(241, 249)(244, 251)(246, 250)(248, 252)
	L = (1, 127)(2, 128)(3, 129)(4, 130)(5, 131)(6, 132)(7, 133)(8, 134)(9, 135)(10, 136)(11, 137)(12, 138)(13, 139)(14, 140)(15, 141)(16, 142)(17, 143)(18, 144)(19, 145)(20, 146)(21, 147)(22, 148)(23, 149)(24, 150)(25, 151)(26, 152)(27, 153)(28, 154)(29, 155)(30, 156)(31, 157)(32, 158)(33, 159)(34, 160)(35, 161)(36, 162)(37, 163)(38, 164)(39, 165)(40, 166)(41, 167)(42, 168)(43, 169)(44, 170)(45, 171)(46, 172)(47, 173)(48, 174)(49, 175)(50, 176)(51, 177)(52, 178)(53, 179)(54, 180)(55, 181)(56, 182)(57, 183)(58, 184)(59, 185)(60, 186)(61, 187)(62, 188)(63, 189)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)
	local type(s) :: { ( 84, 84 ), ( 84^21 ) }
Outer automorphisms :: reflexible
Dual of E28.2536
Transitivity :: ET+
Graph:: simple bipartite
	v = 69 e = 126 f = 3
	degree seq :: [ 2^63, 21^6 ]

E28.2533 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 21, 42})
Quotient :: edge
Aut^+ = C21 x S3 (small group id <126, 12>)
Aut   = S3 x D42 (small group id <252, 36>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, T2^-3 * T1^-1 * T2 * T1^-1, T1^-1 * T2^-3 * T1^-1 * T2, T2^-1 * T1^2 * T2^-1 * T1^-4, T1^-1 * T2 * T1 * T2^-1 * T1^-5 * T2^-1 * T1^5 * T2, T2^-1 * T1^2 * T2^-1 * T1^17, T2^-1 * T1^2 * T2^-1 * T1^5 * T2^-12 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 47, 61, 73, 85, 97, 109, 121, 116, 103, 95, 84, 69, 57, 36, 16, 35, 55, 38, 58, 42, 31, 52, 66, 78, 90, 102, 114, 126, 120, 105, 94, 80, 67, 59, 44, 21, 15, 5)(2, 7, 19, 11, 27, 48, 63, 74, 87, 98, 111, 122, 115, 107, 96, 81, 70, 54, 34, 32, 46, 23, 45, 29, 13, 30, 50, 65, 76, 89, 100, 113, 124, 117, 106, 92, 79, 71, 60, 39, 22, 8)(4, 12, 26, 49, 62, 75, 86, 99, 110, 123, 118, 104, 91, 83, 72, 56, 40, 18, 6, 17, 37, 20, 41, 28, 51, 64, 77, 88, 101, 112, 125, 119, 108, 93, 82, 68, 53, 43, 33, 14, 24, 9)(127, 128, 132, 142, 160, 179, 193, 205, 217, 229, 241, 251, 240, 226, 212, 199, 189, 177, 157, 139, 130)(129, 135, 149, 161, 144, 165, 185, 194, 207, 221, 230, 243, 252, 238, 224, 211, 201, 191, 178, 154, 137)(131, 140, 158, 162, 182, 197, 206, 219, 233, 242, 249, 239, 228, 214, 200, 187, 175, 156, 168, 146, 133)(134, 147, 169, 180, 195, 209, 218, 231, 245, 248, 235, 225, 215, 204, 190, 174, 151, 138, 155, 164, 143)(136, 145, 163, 181, 172, 159, 170, 186, 198, 210, 222, 234, 246, 250, 236, 223, 213, 203, 192, 176, 152)(141, 148, 166, 183, 196, 208, 220, 232, 244, 247, 237, 227, 216, 202, 188, 173, 153, 167, 184, 171, 150)
	L = (1, 127)(2, 128)(3, 129)(4, 130)(5, 131)(6, 132)(7, 133)(8, 134)(9, 135)(10, 136)(11, 137)(12, 138)(13, 139)(14, 140)(15, 141)(16, 142)(17, 143)(18, 144)(19, 145)(20, 146)(21, 147)(22, 148)(23, 149)(24, 150)(25, 151)(26, 152)(27, 153)(28, 154)(29, 155)(30, 156)(31, 157)(32, 158)(33, 159)(34, 160)(35, 161)(36, 162)(37, 163)(38, 164)(39, 165)(40, 166)(41, 167)(42, 168)(43, 169)(44, 170)(45, 171)(46, 172)(47, 173)(48, 174)(49, 175)(50, 176)(51, 177)(52, 178)(53, 179)(54, 180)(55, 181)(56, 182)(57, 183)(58, 184)(59, 185)(60, 186)(61, 187)(62, 188)(63, 189)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)
	local type(s) :: { ( 4^21 ), ( 4^42 ) }
Outer automorphisms :: reflexible
Dual of E28.2537
Transitivity :: ET+
Graph:: bipartite
	v = 9 e = 126 f = 63
	degree seq :: [ 21^6, 42^3 ]

E28.2534 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 21, 42})
Quotient :: edge
Aut^+ = C21 x S3 (small group id <126, 12>)
Aut   = S3 x D42 (small group id <252, 36>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^2 * T2 * T1^-1, T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1, T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2, T2 * T1^-3 * T2 * T1^-17 * T2 * T1^-1 ]
Map::
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 21)(13, 23)(14, 24)(18, 29)(19, 30)(20, 33)(22, 35)(25, 39)(26, 40)(27, 41)(28, 42)(31, 43)(32, 48)(34, 50)(36, 52)(37, 53)(38, 54)(44, 55)(45, 58)(46, 59)(47, 62)(49, 64)(51, 66)(56, 67)(57, 68)(60, 69)(61, 74)(63, 76)(65, 78)(70, 79)(71, 82)(72, 83)(73, 86)(75, 88)(77, 90)(80, 91)(81, 92)(84, 93)(85, 98)(87, 100)(89, 102)(94, 103)(95, 106)(96, 107)(97, 110)(99, 112)(101, 114)(104, 115)(105, 116)(108, 117)(109, 122)(111, 124)(113, 126)(118, 121)(119, 123)(120, 125)(127, 128, 131, 137, 146, 158, 173, 187, 199, 211, 223, 235, 247, 241, 229, 217, 205, 193, 181, 167, 180, 166, 179, 165, 178, 192, 204, 216, 228, 240, 252, 246, 234, 222, 210, 198, 186, 172, 157, 145, 136, 130)(129, 133, 138, 148, 159, 175, 188, 201, 212, 225, 236, 249, 244, 232, 220, 208, 196, 184, 170, 155, 164, 150, 163, 149, 162, 176, 191, 202, 215, 226, 239, 250, 243, 231, 219, 207, 195, 183, 169, 154, 143, 134)(132, 139, 147, 160, 174, 189, 200, 213, 224, 237, 248, 242, 230, 218, 206, 194, 182, 168, 153, 142, 152, 141, 151, 161, 177, 190, 203, 214, 227, 238, 251, 245, 233, 221, 209, 197, 185, 171, 156, 144, 135, 140)
	L = (1, 127)(2, 128)(3, 129)(4, 130)(5, 131)(6, 132)(7, 133)(8, 134)(9, 135)(10, 136)(11, 137)(12, 138)(13, 139)(14, 140)(15, 141)(16, 142)(17, 143)(18, 144)(19, 145)(20, 146)(21, 147)(22, 148)(23, 149)(24, 150)(25, 151)(26, 152)(27, 153)(28, 154)(29, 155)(30, 156)(31, 157)(32, 158)(33, 159)(34, 160)(35, 161)(36, 162)(37, 163)(38, 164)(39, 165)(40, 166)(41, 167)(42, 168)(43, 169)(44, 170)(45, 171)(46, 172)(47, 173)(48, 174)(49, 175)(50, 176)(51, 177)(52, 178)(53, 179)(54, 180)(55, 181)(56, 182)(57, 183)(58, 184)(59, 185)(60, 186)(61, 187)(62, 188)(63, 189)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)
	local type(s) :: { ( 42, 42 ), ( 42^42 ) }
Outer automorphisms :: reflexible
Dual of E28.2535
Transitivity :: ET+
Graph:: simple bipartite
	v = 66 e = 126 f = 6
	degree seq :: [ 2^63, 42^3 ]

E28.2535 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 21, 42})
Quotient :: loop
Aut^+ = C21 x S3 (small group id <126, 12>)
Aut   = S3 x D42 (small group id <252, 36>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^3 * T1 * T2^-2, T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1, T2^21 ]
Map::
	R = (1, 127, 3, 129, 8, 134, 18, 144, 35, 161, 49, 175, 61, 187, 73, 199, 85, 211, 97, 223, 109, 235, 112, 238, 100, 226, 88, 214, 76, 202, 64, 190, 52, 178, 38, 164, 22, 148, 10, 136, 4, 130)(2, 128, 5, 131, 12, 138, 26, 152, 43, 169, 55, 181, 67, 193, 79, 205, 91, 217, 103, 229, 115, 241, 118, 244, 106, 232, 94, 220, 82, 208, 70, 196, 58, 184, 46, 172, 30, 156, 14, 140, 6, 132)(7, 133, 15, 141, 31, 157, 47, 173, 59, 185, 71, 197, 83, 209, 95, 221, 107, 233, 119, 245, 122, 248, 111, 237, 99, 225, 87, 213, 75, 201, 63, 189, 51, 177, 37, 163, 21, 147, 32, 158, 16, 142)(9, 135, 19, 145, 34, 160, 17, 143, 33, 159, 48, 174, 60, 186, 72, 198, 84, 210, 96, 222, 108, 234, 120, 246, 121, 247, 110, 236, 98, 224, 86, 212, 74, 200, 62, 188, 50, 176, 36, 162, 20, 146)(11, 137, 23, 149, 39, 165, 53, 179, 65, 191, 77, 203, 89, 215, 101, 227, 113, 239, 123, 249, 126, 252, 117, 243, 105, 231, 93, 219, 81, 207, 69, 195, 57, 183, 45, 171, 29, 155, 40, 166, 24, 150)(13, 139, 27, 153, 42, 168, 25, 151, 41, 167, 54, 180, 66, 192, 78, 204, 90, 216, 102, 228, 114, 240, 124, 250, 125, 251, 116, 242, 104, 230, 92, 218, 80, 206, 68, 194, 56, 182, 44, 170, 28, 154)
	L = (1, 128)(2, 127)(3, 133)(4, 135)(5, 137)(6, 139)(7, 129)(8, 143)(9, 130)(10, 147)(11, 131)(12, 151)(13, 132)(14, 155)(15, 149)(16, 153)(17, 134)(18, 152)(19, 150)(20, 154)(21, 136)(22, 156)(23, 141)(24, 145)(25, 138)(26, 144)(27, 142)(28, 146)(29, 140)(30, 148)(31, 167)(32, 166)(33, 165)(34, 168)(35, 173)(36, 171)(37, 170)(38, 176)(39, 159)(40, 158)(41, 157)(42, 160)(43, 179)(44, 163)(45, 162)(46, 182)(47, 161)(48, 180)(49, 186)(50, 164)(51, 183)(52, 189)(53, 169)(54, 174)(55, 192)(56, 172)(57, 177)(58, 195)(59, 191)(60, 175)(61, 193)(62, 194)(63, 178)(64, 196)(65, 185)(66, 181)(67, 187)(68, 188)(69, 184)(70, 190)(71, 204)(72, 203)(73, 209)(74, 207)(75, 206)(76, 212)(77, 198)(78, 197)(79, 215)(80, 201)(81, 200)(82, 218)(83, 199)(84, 216)(85, 222)(86, 202)(87, 219)(88, 225)(89, 205)(90, 210)(91, 228)(92, 208)(93, 213)(94, 231)(95, 227)(96, 211)(97, 229)(98, 230)(99, 214)(100, 232)(101, 221)(102, 217)(103, 223)(104, 224)(105, 220)(106, 226)(107, 240)(108, 239)(109, 245)(110, 243)(111, 242)(112, 247)(113, 234)(114, 233)(115, 249)(116, 237)(117, 236)(118, 251)(119, 235)(120, 250)(121, 238)(122, 252)(123, 241)(124, 246)(125, 244)(126, 248)
	local type(s) :: { ( 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42 ) }
Outer automorphisms :: reflexible
Dual of E28.2534
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 126 f = 66
	degree seq :: [ 42^6 ]

E28.2536 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 21, 42})
Quotient :: loop
Aut^+ = C21 x S3 (small group id <126, 12>)
Aut   = S3 x D42 (small group id <252, 36>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, T2^-3 * T1^-1 * T2 * T1^-1, T1^-1 * T2^-3 * T1^-1 * T2, T2^-1 * T1^2 * T2^-1 * T1^-4, T1^-1 * T2 * T1 * T2^-1 * T1^-5 * T2^-1 * T1^5 * T2, T2^-1 * T1^2 * T2^-1 * T1^17, T2^-1 * T1^2 * T2^-1 * T1^5 * T2^-12 ]
Map::
	R = (1, 127, 3, 129, 10, 136, 25, 151, 47, 173, 61, 187, 73, 199, 85, 211, 97, 223, 109, 235, 121, 247, 116, 242, 103, 229, 95, 221, 84, 210, 69, 195, 57, 183, 36, 162, 16, 142, 35, 161, 55, 181, 38, 164, 58, 184, 42, 168, 31, 157, 52, 178, 66, 192, 78, 204, 90, 216, 102, 228, 114, 240, 126, 252, 120, 246, 105, 231, 94, 220, 80, 206, 67, 193, 59, 185, 44, 170, 21, 147, 15, 141, 5, 131)(2, 128, 7, 133, 19, 145, 11, 137, 27, 153, 48, 174, 63, 189, 74, 200, 87, 213, 98, 224, 111, 237, 122, 248, 115, 241, 107, 233, 96, 222, 81, 207, 70, 196, 54, 180, 34, 160, 32, 158, 46, 172, 23, 149, 45, 171, 29, 155, 13, 139, 30, 156, 50, 176, 65, 191, 76, 202, 89, 215, 100, 226, 113, 239, 124, 250, 117, 243, 106, 232, 92, 218, 79, 205, 71, 197, 60, 186, 39, 165, 22, 148, 8, 134)(4, 130, 12, 138, 26, 152, 49, 175, 62, 188, 75, 201, 86, 212, 99, 225, 110, 236, 123, 249, 118, 244, 104, 230, 91, 217, 83, 209, 72, 198, 56, 182, 40, 166, 18, 144, 6, 132, 17, 143, 37, 163, 20, 146, 41, 167, 28, 154, 51, 177, 64, 190, 77, 203, 88, 214, 101, 227, 112, 238, 125, 251, 119, 245, 108, 234, 93, 219, 82, 208, 68, 194, 53, 179, 43, 169, 33, 159, 14, 140, 24, 150, 9, 135)
	L = (1, 128)(2, 132)(3, 135)(4, 127)(5, 140)(6, 142)(7, 131)(8, 147)(9, 149)(10, 145)(11, 129)(12, 155)(13, 130)(14, 158)(15, 148)(16, 160)(17, 134)(18, 165)(19, 163)(20, 133)(21, 169)(22, 166)(23, 161)(24, 141)(25, 138)(26, 136)(27, 167)(28, 137)(29, 164)(30, 168)(31, 139)(32, 162)(33, 170)(34, 179)(35, 144)(36, 182)(37, 181)(38, 143)(39, 185)(40, 183)(41, 184)(42, 146)(43, 180)(44, 186)(45, 150)(46, 159)(47, 153)(48, 151)(49, 156)(50, 152)(51, 157)(52, 154)(53, 193)(54, 195)(55, 172)(56, 197)(57, 196)(58, 171)(59, 194)(60, 198)(61, 175)(62, 173)(63, 177)(64, 174)(65, 178)(66, 176)(67, 205)(68, 207)(69, 209)(70, 208)(71, 206)(72, 210)(73, 189)(74, 187)(75, 191)(76, 188)(77, 192)(78, 190)(79, 217)(80, 219)(81, 221)(82, 220)(83, 218)(84, 222)(85, 201)(86, 199)(87, 203)(88, 200)(89, 204)(90, 202)(91, 229)(92, 231)(93, 233)(94, 232)(95, 230)(96, 234)(97, 213)(98, 211)(99, 215)(100, 212)(101, 216)(102, 214)(103, 241)(104, 243)(105, 245)(106, 244)(107, 242)(108, 246)(109, 225)(110, 223)(111, 227)(112, 224)(113, 228)(114, 226)(115, 251)(116, 249)(117, 252)(118, 247)(119, 248)(120, 250)(121, 237)(122, 235)(123, 239)(124, 236)(125, 240)(126, 238)
	local type(s) :: { ( 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21 ) }
Outer automorphisms :: reflexible
Dual of E28.2532
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 126 f = 69
	degree seq :: [ 84^3 ]

E28.2537 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 21, 42})
Quotient :: loop
Aut^+ = C21 x S3 (small group id <126, 12>)
Aut   = S3 x D42 (small group id <252, 36>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^2 * T2 * T1^-1, T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1, T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2, T2 * T1^-3 * T2 * T1^-17 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 127, 3, 129)(2, 128, 6, 132)(4, 130, 9, 135)(5, 131, 12, 138)(7, 133, 15, 141)(8, 134, 16, 142)(10, 136, 17, 143)(11, 137, 21, 147)(13, 139, 23, 149)(14, 140, 24, 150)(18, 144, 29, 155)(19, 145, 30, 156)(20, 146, 33, 159)(22, 148, 35, 161)(25, 151, 39, 165)(26, 152, 40, 166)(27, 153, 41, 167)(28, 154, 42, 168)(31, 157, 43, 169)(32, 158, 48, 174)(34, 160, 50, 176)(36, 162, 52, 178)(37, 163, 53, 179)(38, 164, 54, 180)(44, 170, 55, 181)(45, 171, 58, 184)(46, 172, 59, 185)(47, 173, 62, 188)(49, 175, 64, 190)(51, 177, 66, 192)(56, 182, 67, 193)(57, 183, 68, 194)(60, 186, 69, 195)(61, 187, 74, 200)(63, 189, 76, 202)(65, 191, 78, 204)(70, 196, 79, 205)(71, 197, 82, 208)(72, 198, 83, 209)(73, 199, 86, 212)(75, 201, 88, 214)(77, 203, 90, 216)(80, 206, 91, 217)(81, 207, 92, 218)(84, 210, 93, 219)(85, 211, 98, 224)(87, 213, 100, 226)(89, 215, 102, 228)(94, 220, 103, 229)(95, 221, 106, 232)(96, 222, 107, 233)(97, 223, 110, 236)(99, 225, 112, 238)(101, 227, 114, 240)(104, 230, 115, 241)(105, 231, 116, 242)(108, 234, 117, 243)(109, 235, 122, 248)(111, 237, 124, 250)(113, 239, 126, 252)(118, 244, 121, 247)(119, 245, 123, 249)(120, 246, 125, 251)
	L = (1, 128)(2, 131)(3, 133)(4, 127)(5, 137)(6, 139)(7, 138)(8, 129)(9, 140)(10, 130)(11, 146)(12, 148)(13, 147)(14, 132)(15, 151)(16, 152)(17, 134)(18, 135)(19, 136)(20, 158)(21, 160)(22, 159)(23, 162)(24, 163)(25, 161)(26, 141)(27, 142)(28, 143)(29, 164)(30, 144)(31, 145)(32, 173)(33, 175)(34, 174)(35, 177)(36, 176)(37, 149)(38, 150)(39, 178)(40, 179)(41, 180)(42, 153)(43, 154)(44, 155)(45, 156)(46, 157)(47, 187)(48, 189)(49, 188)(50, 191)(51, 190)(52, 192)(53, 165)(54, 166)(55, 167)(56, 168)(57, 169)(58, 170)(59, 171)(60, 172)(61, 199)(62, 201)(63, 200)(64, 203)(65, 202)(66, 204)(67, 181)(68, 182)(69, 183)(70, 184)(71, 185)(72, 186)(73, 211)(74, 213)(75, 212)(76, 215)(77, 214)(78, 216)(79, 193)(80, 194)(81, 195)(82, 196)(83, 197)(84, 198)(85, 223)(86, 225)(87, 224)(88, 227)(89, 226)(90, 228)(91, 205)(92, 206)(93, 207)(94, 208)(95, 209)(96, 210)(97, 235)(98, 237)(99, 236)(100, 239)(101, 238)(102, 240)(103, 217)(104, 218)(105, 219)(106, 220)(107, 221)(108, 222)(109, 247)(110, 249)(111, 248)(112, 251)(113, 250)(114, 252)(115, 229)(116, 230)(117, 231)(118, 232)(119, 233)(120, 234)(121, 241)(122, 242)(123, 244)(124, 243)(125, 245)(126, 246)
	local type(s) :: { ( 21, 42, 21, 42 ) }
Outer automorphisms :: reflexible
Dual of E28.2533
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 63 e = 126 f = 9
	degree seq :: [ 4^63 ]

E28.2538 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 21, 42})
Quotient :: dipole
Aut^+ = C21 x S3 (small group id <126, 12>)
Aut   = S3 x D42 (small group id <252, 36>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^-3 * Y1 * Y2^3 * Y1, Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2, (Y2^-1 * R * Y2^-2)^2, Y2^21, (Y3 * Y2^-1)^42 ]
Map::
	R = (1, 127, 2, 128)(3, 129, 7, 133)(4, 130, 9, 135)(5, 131, 11, 137)(6, 132, 13, 139)(8, 134, 17, 143)(10, 136, 21, 147)(12, 138, 25, 151)(14, 140, 29, 155)(15, 141, 23, 149)(16, 142, 27, 153)(18, 144, 26, 152)(19, 145, 24, 150)(20, 146, 28, 154)(22, 148, 30, 156)(31, 157, 41, 167)(32, 158, 40, 166)(33, 159, 39, 165)(34, 160, 42, 168)(35, 161, 47, 173)(36, 162, 45, 171)(37, 163, 44, 170)(38, 164, 50, 176)(43, 169, 53, 179)(46, 172, 56, 182)(48, 174, 54, 180)(49, 175, 60, 186)(51, 177, 57, 183)(52, 178, 63, 189)(55, 181, 66, 192)(58, 184, 69, 195)(59, 185, 65, 191)(61, 187, 67, 193)(62, 188, 68, 194)(64, 190, 70, 196)(71, 197, 78, 204)(72, 198, 77, 203)(73, 199, 83, 209)(74, 200, 81, 207)(75, 201, 80, 206)(76, 202, 86, 212)(79, 205, 89, 215)(82, 208, 92, 218)(84, 210, 90, 216)(85, 211, 96, 222)(87, 213, 93, 219)(88, 214, 99, 225)(91, 217, 102, 228)(94, 220, 105, 231)(95, 221, 101, 227)(97, 223, 103, 229)(98, 224, 104, 230)(100, 226, 106, 232)(107, 233, 114, 240)(108, 234, 113, 239)(109, 235, 119, 245)(110, 236, 117, 243)(111, 237, 116, 242)(112, 238, 121, 247)(115, 241, 123, 249)(118, 244, 125, 251)(120, 246, 124, 250)(122, 248, 126, 252)(253, 379, 255, 381, 260, 386, 270, 396, 287, 413, 301, 427, 313, 439, 325, 451, 337, 463, 349, 475, 361, 487, 364, 490, 352, 478, 340, 466, 328, 454, 316, 442, 304, 430, 290, 416, 274, 400, 262, 388, 256, 382)(254, 380, 257, 383, 264, 390, 278, 404, 295, 421, 307, 433, 319, 445, 331, 457, 343, 469, 355, 481, 367, 493, 370, 496, 358, 484, 346, 472, 334, 460, 322, 448, 310, 436, 298, 424, 282, 408, 266, 392, 258, 384)(259, 385, 267, 393, 283, 409, 299, 425, 311, 437, 323, 449, 335, 461, 347, 473, 359, 485, 371, 497, 374, 500, 363, 489, 351, 477, 339, 465, 327, 453, 315, 441, 303, 429, 289, 415, 273, 399, 284, 410, 268, 394)(261, 387, 271, 397, 286, 412, 269, 395, 285, 411, 300, 426, 312, 438, 324, 450, 336, 462, 348, 474, 360, 486, 372, 498, 373, 499, 362, 488, 350, 476, 338, 464, 326, 452, 314, 440, 302, 428, 288, 414, 272, 398)(263, 389, 275, 401, 291, 417, 305, 431, 317, 443, 329, 455, 341, 467, 353, 479, 365, 491, 375, 501, 378, 504, 369, 495, 357, 483, 345, 471, 333, 459, 321, 447, 309, 435, 297, 423, 281, 407, 292, 418, 276, 402)(265, 391, 279, 405, 294, 420, 277, 403, 293, 419, 306, 432, 318, 444, 330, 456, 342, 468, 354, 480, 366, 492, 376, 502, 377, 503, 368, 494, 356, 482, 344, 470, 332, 458, 320, 446, 308, 434, 296, 422, 280, 406)
	L = (1, 254)(2, 253)(3, 259)(4, 261)(5, 263)(6, 265)(7, 255)(8, 269)(9, 256)(10, 273)(11, 257)(12, 277)(13, 258)(14, 281)(15, 275)(16, 279)(17, 260)(18, 278)(19, 276)(20, 280)(21, 262)(22, 282)(23, 267)(24, 271)(25, 264)(26, 270)(27, 268)(28, 272)(29, 266)(30, 274)(31, 293)(32, 292)(33, 291)(34, 294)(35, 299)(36, 297)(37, 296)(38, 302)(39, 285)(40, 284)(41, 283)(42, 286)(43, 305)(44, 289)(45, 288)(46, 308)(47, 287)(48, 306)(49, 312)(50, 290)(51, 309)(52, 315)(53, 295)(54, 300)(55, 318)(56, 298)(57, 303)(58, 321)(59, 317)(60, 301)(61, 319)(62, 320)(63, 304)(64, 322)(65, 311)(66, 307)(67, 313)(68, 314)(69, 310)(70, 316)(71, 330)(72, 329)(73, 335)(74, 333)(75, 332)(76, 338)(77, 324)(78, 323)(79, 341)(80, 327)(81, 326)(82, 344)(83, 325)(84, 342)(85, 348)(86, 328)(87, 345)(88, 351)(89, 331)(90, 336)(91, 354)(92, 334)(93, 339)(94, 357)(95, 353)(96, 337)(97, 355)(98, 356)(99, 340)(100, 358)(101, 347)(102, 343)(103, 349)(104, 350)(105, 346)(106, 352)(107, 366)(108, 365)(109, 371)(110, 369)(111, 368)(112, 373)(113, 360)(114, 359)(115, 375)(116, 363)(117, 362)(118, 377)(119, 361)(120, 376)(121, 364)(122, 378)(123, 367)(124, 372)(125, 370)(126, 374)(127, 379)(128, 380)(129, 381)(130, 382)(131, 383)(132, 384)(133, 385)(134, 386)(135, 387)(136, 388)(137, 389)(138, 390)(139, 391)(140, 392)(141, 393)(142, 394)(143, 395)(144, 396)(145, 397)(146, 398)(147, 399)(148, 400)(149, 401)(150, 402)(151, 403)(152, 404)(153, 405)(154, 406)(155, 407)(156, 408)(157, 409)(158, 410)(159, 411)(160, 412)(161, 413)(162, 414)(163, 415)(164, 416)(165, 417)(166, 418)(167, 419)(168, 420)(169, 421)(170, 422)(171, 423)(172, 424)(173, 425)(174, 426)(175, 427)(176, 428)(177, 429)(178, 430)(179, 431)(180, 432)(181, 433)(182, 434)(183, 435)(184, 436)(185, 437)(186, 438)(187, 439)(188, 440)(189, 441)(190, 442)(191, 443)(192, 444)(193, 445)(194, 446)(195, 447)(196, 448)(197, 449)(198, 450)(199, 451)(200, 452)(201, 453)(202, 454)(203, 455)(204, 456)(205, 457)(206, 458)(207, 459)(208, 460)(209, 461)(210, 462)(211, 463)(212, 464)(213, 465)(214, 466)(215, 467)(216, 468)(217, 469)(218, 470)(219, 471)(220, 472)(221, 473)(222, 474)(223, 475)(224, 476)(225, 477)(226, 478)(227, 479)(228, 480)(229, 481)(230, 482)(231, 483)(232, 484)(233, 485)(234, 486)(235, 487)(236, 488)(237, 489)(238, 490)(239, 491)(240, 492)(241, 493)(242, 494)(243, 495)(244, 496)(245, 497)(246, 498)(247, 499)(248, 500)(249, 501)(250, 502)(251, 503)(252, 504)
	local type(s) :: { ( 2, 84, 2, 84 ), ( 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84 ) }
Outer automorphisms :: reflexible
Dual of E28.2541
Graph:: bipartite
	v = 69 e = 252 f = 129
	degree seq :: [ 4^63, 42^6 ]

E28.2539 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 21, 42})
Quotient :: dipole
Aut^+ = C21 x S3 (small group id <126, 12>)
Aut   = S3 x D42 (small group id <252, 36>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, (R * Y1)^2, R * Y2 * R * Y3, (Y1^-1 * Y2^-1)^2, (Y3^-1 * Y1^-1)^2, Y2^-3 * Y1^-1 * Y2 * Y1^-1, Y2^-3 * Y1^-1 * Y2 * Y1^-1, Y2^-1 * Y1^2 * Y2^-1 * Y1^-4, Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-5 * Y2^-1 * Y1^5 * Y2, Y2^-1 * Y1^2 * Y2^-1 * Y1^17, Y2^-1 * Y1^2 * Y2^-1 * Y1^5 * Y2^-12 ]
Map::
	R = (1, 127, 2, 128, 6, 132, 16, 142, 34, 160, 53, 179, 67, 193, 79, 205, 91, 217, 103, 229, 115, 241, 125, 251, 114, 240, 100, 226, 86, 212, 73, 199, 63, 189, 51, 177, 31, 157, 13, 139, 4, 130)(3, 129, 9, 135, 23, 149, 35, 161, 18, 144, 39, 165, 59, 185, 68, 194, 81, 207, 95, 221, 104, 230, 117, 243, 126, 252, 112, 238, 98, 224, 85, 211, 75, 201, 65, 191, 52, 178, 28, 154, 11, 137)(5, 131, 14, 140, 32, 158, 36, 162, 56, 182, 71, 197, 80, 206, 93, 219, 107, 233, 116, 242, 123, 249, 113, 239, 102, 228, 88, 214, 74, 200, 61, 187, 49, 175, 30, 156, 42, 168, 20, 146, 7, 133)(8, 134, 21, 147, 43, 169, 54, 180, 69, 195, 83, 209, 92, 218, 105, 231, 119, 245, 122, 248, 109, 235, 99, 225, 89, 215, 78, 204, 64, 190, 48, 174, 25, 151, 12, 138, 29, 155, 38, 164, 17, 143)(10, 136, 19, 145, 37, 163, 55, 181, 46, 172, 33, 159, 44, 170, 60, 186, 72, 198, 84, 210, 96, 222, 108, 234, 120, 246, 124, 250, 110, 236, 97, 223, 87, 213, 77, 203, 66, 192, 50, 176, 26, 152)(15, 141, 22, 148, 40, 166, 57, 183, 70, 196, 82, 208, 94, 220, 106, 232, 118, 244, 121, 247, 111, 237, 101, 227, 90, 216, 76, 202, 62, 188, 47, 173, 27, 153, 41, 167, 58, 184, 45, 171, 24, 150)(253, 379, 255, 381, 262, 388, 277, 403, 299, 425, 313, 439, 325, 451, 337, 463, 349, 475, 361, 487, 373, 499, 368, 494, 355, 481, 347, 473, 336, 462, 321, 447, 309, 435, 288, 414, 268, 394, 287, 413, 307, 433, 290, 416, 310, 436, 294, 420, 283, 409, 304, 430, 318, 444, 330, 456, 342, 468, 354, 480, 366, 492, 378, 504, 372, 498, 357, 483, 346, 472, 332, 458, 319, 445, 311, 437, 296, 422, 273, 399, 267, 393, 257, 383)(254, 380, 259, 385, 271, 397, 263, 389, 279, 405, 300, 426, 315, 441, 326, 452, 339, 465, 350, 476, 363, 489, 374, 500, 367, 493, 359, 485, 348, 474, 333, 459, 322, 448, 306, 432, 286, 412, 284, 410, 298, 424, 275, 401, 297, 423, 281, 407, 265, 391, 282, 408, 302, 428, 317, 443, 328, 454, 341, 467, 352, 478, 365, 491, 376, 502, 369, 495, 358, 484, 344, 470, 331, 457, 323, 449, 312, 438, 291, 417, 274, 400, 260, 386)(256, 382, 264, 390, 278, 404, 301, 427, 314, 440, 327, 453, 338, 464, 351, 477, 362, 488, 375, 501, 370, 496, 356, 482, 343, 469, 335, 461, 324, 450, 308, 434, 292, 418, 270, 396, 258, 384, 269, 395, 289, 415, 272, 398, 293, 419, 280, 406, 303, 429, 316, 442, 329, 455, 340, 466, 353, 479, 364, 490, 377, 503, 371, 497, 360, 486, 345, 471, 334, 460, 320, 446, 305, 431, 295, 421, 285, 411, 266, 392, 276, 402, 261, 387)
	L = (1, 255)(2, 259)(3, 262)(4, 264)(5, 253)(6, 269)(7, 271)(8, 254)(9, 256)(10, 277)(11, 279)(12, 278)(13, 282)(14, 276)(15, 257)(16, 287)(17, 289)(18, 258)(19, 263)(20, 293)(21, 267)(22, 260)(23, 297)(24, 261)(25, 299)(26, 301)(27, 300)(28, 303)(29, 265)(30, 302)(31, 304)(32, 298)(33, 266)(34, 284)(35, 307)(36, 268)(37, 272)(38, 310)(39, 274)(40, 270)(41, 280)(42, 283)(43, 285)(44, 273)(45, 281)(46, 275)(47, 313)(48, 315)(49, 314)(50, 317)(51, 316)(52, 318)(53, 295)(54, 286)(55, 290)(56, 292)(57, 288)(58, 294)(59, 296)(60, 291)(61, 325)(62, 327)(63, 326)(64, 329)(65, 328)(66, 330)(67, 311)(68, 305)(69, 309)(70, 306)(71, 312)(72, 308)(73, 337)(74, 339)(75, 338)(76, 341)(77, 340)(78, 342)(79, 323)(80, 319)(81, 322)(82, 320)(83, 324)(84, 321)(85, 349)(86, 351)(87, 350)(88, 353)(89, 352)(90, 354)(91, 335)(92, 331)(93, 334)(94, 332)(95, 336)(96, 333)(97, 361)(98, 363)(99, 362)(100, 365)(101, 364)(102, 366)(103, 347)(104, 343)(105, 346)(106, 344)(107, 348)(108, 345)(109, 373)(110, 375)(111, 374)(112, 377)(113, 376)(114, 378)(115, 359)(116, 355)(117, 358)(118, 356)(119, 360)(120, 357)(121, 368)(122, 367)(123, 370)(124, 369)(125, 371)(126, 372)(127, 379)(128, 380)(129, 381)(130, 382)(131, 383)(132, 384)(133, 385)(134, 386)(135, 387)(136, 388)(137, 389)(138, 390)(139, 391)(140, 392)(141, 393)(142, 394)(143, 395)(144, 396)(145, 397)(146, 398)(147, 399)(148, 400)(149, 401)(150, 402)(151, 403)(152, 404)(153, 405)(154, 406)(155, 407)(156, 408)(157, 409)(158, 410)(159, 411)(160, 412)(161, 413)(162, 414)(163, 415)(164, 416)(165, 417)(166, 418)(167, 419)(168, 420)(169, 421)(170, 422)(171, 423)(172, 424)(173, 425)(174, 426)(175, 427)(176, 428)(177, 429)(178, 430)(179, 431)(180, 432)(181, 433)(182, 434)(183, 435)(184, 436)(185, 437)(186, 438)(187, 439)(188, 440)(189, 441)(190, 442)(191, 443)(192, 444)(193, 445)(194, 446)(195, 447)(196, 448)(197, 449)(198, 450)(199, 451)(200, 452)(201, 453)(202, 454)(203, 455)(204, 456)(205, 457)(206, 458)(207, 459)(208, 460)(209, 461)(210, 462)(211, 463)(212, 464)(213, 465)(214, 466)(215, 467)(216, 468)(217, 469)(218, 470)(219, 471)(220, 472)(221, 473)(222, 474)(223, 475)(224, 476)(225, 477)(226, 478)(227, 479)(228, 480)(229, 481)(230, 482)(231, 483)(232, 484)(233, 485)(234, 486)(235, 487)(236, 488)(237, 489)(238, 490)(239, 491)(240, 492)(241, 493)(242, 494)(243, 495)(244, 496)(245, 497)(246, 498)(247, 499)(248, 500)(249, 501)(250, 502)(251, 503)(252, 504)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.2540
Graph:: bipartite
	v = 9 e = 252 f = 189
	degree seq :: [ 42^6, 84^3 ]

E28.2540 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 21, 42})
Quotient :: dipole
Aut^+ = C21 x S3 (small group id <126, 12>)
Aut   = S3 x D42 (small group id <252, 36>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y2 * Y3^2 * Y2, Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2, Y3^19 * Y2 * Y3 * Y2 * Y3 * Y2, Y2 * Y3 * Y2 * Y3^3 * Y2 * Y3 * Y2 * Y3^3 * Y2 * Y3 * Y2 * Y3^3 * Y2 * Y3 * Y2 * Y3^3 * Y2 * Y3^5, (Y3^-1 * Y1^-1)^42 ]
Map:: polytopal
	R = (1, 127)(2, 128)(3, 129)(4, 130)(5, 131)(6, 132)(7, 133)(8, 134)(9, 135)(10, 136)(11, 137)(12, 138)(13, 139)(14, 140)(15, 141)(16, 142)(17, 143)(18, 144)(19, 145)(20, 146)(21, 147)(22, 148)(23, 149)(24, 150)(25, 151)(26, 152)(27, 153)(28, 154)(29, 155)(30, 156)(31, 157)(32, 158)(33, 159)(34, 160)(35, 161)(36, 162)(37, 163)(38, 164)(39, 165)(40, 166)(41, 167)(42, 168)(43, 169)(44, 170)(45, 171)(46, 172)(47, 173)(48, 174)(49, 175)(50, 176)(51, 177)(52, 178)(53, 179)(54, 180)(55, 181)(56, 182)(57, 183)(58, 184)(59, 185)(60, 186)(61, 187)(62, 188)(63, 189)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)(253, 379, 254, 380)(255, 381, 259, 385)(256, 382, 261, 387)(257, 383, 263, 389)(258, 384, 265, 391)(260, 386, 264, 390)(262, 388, 266, 392)(267, 393, 277, 403)(268, 394, 279, 405)(269, 395, 278, 404)(270, 396, 281, 407)(271, 397, 282, 408)(272, 398, 284, 410)(273, 399, 286, 412)(274, 400, 285, 411)(275, 401, 288, 414)(276, 402, 289, 415)(280, 406, 287, 413)(283, 409, 290, 416)(291, 417, 299, 425)(292, 418, 300, 426)(293, 419, 307, 433)(294, 420, 302, 428)(295, 421, 308, 434)(296, 422, 304, 430)(297, 423, 310, 436)(298, 424, 311, 437)(301, 427, 313, 439)(303, 429, 314, 440)(305, 431, 316, 442)(306, 432, 317, 443)(309, 435, 315, 441)(312, 438, 318, 444)(319, 445, 325, 451)(320, 446, 331, 457)(321, 447, 332, 458)(322, 448, 328, 454)(323, 449, 334, 460)(324, 450, 335, 461)(326, 452, 337, 463)(327, 453, 338, 464)(329, 455, 340, 466)(330, 456, 341, 467)(333, 459, 339, 465)(336, 462, 342, 468)(343, 469, 349, 475)(344, 470, 355, 481)(345, 471, 356, 482)(346, 472, 352, 478)(347, 473, 358, 484)(348, 474, 359, 485)(350, 476, 361, 487)(351, 477, 362, 488)(353, 479, 364, 490)(354, 480, 365, 491)(357, 483, 363, 489)(360, 486, 366, 492)(367, 493, 373, 499)(368, 494, 378, 504)(369, 495, 377, 503)(370, 496, 376, 502)(371, 497, 375, 501)(372, 498, 374, 500)
	L = (1, 255)(2, 257)(3, 260)(4, 253)(5, 264)(6, 254)(7, 267)(8, 269)(9, 268)(10, 256)(11, 272)(12, 274)(13, 273)(14, 258)(15, 278)(16, 259)(17, 280)(18, 261)(19, 262)(20, 285)(21, 263)(22, 287)(23, 265)(24, 266)(25, 291)(26, 293)(27, 292)(28, 295)(29, 294)(30, 270)(31, 271)(32, 299)(33, 301)(34, 300)(35, 303)(36, 302)(37, 275)(38, 276)(39, 307)(40, 277)(41, 308)(42, 279)(43, 309)(44, 281)(45, 282)(46, 283)(47, 313)(48, 284)(49, 314)(50, 286)(51, 315)(52, 288)(53, 289)(54, 290)(55, 319)(56, 320)(57, 321)(58, 296)(59, 297)(60, 298)(61, 325)(62, 326)(63, 327)(64, 304)(65, 305)(66, 306)(67, 331)(68, 332)(69, 333)(70, 310)(71, 311)(72, 312)(73, 337)(74, 338)(75, 339)(76, 316)(77, 317)(78, 318)(79, 343)(80, 344)(81, 345)(82, 322)(83, 323)(84, 324)(85, 349)(86, 350)(87, 351)(88, 328)(89, 329)(90, 330)(91, 355)(92, 356)(93, 357)(94, 334)(95, 335)(96, 336)(97, 361)(98, 362)(99, 363)(100, 340)(101, 341)(102, 342)(103, 367)(104, 368)(105, 369)(106, 346)(107, 347)(108, 348)(109, 373)(110, 374)(111, 375)(112, 352)(113, 353)(114, 354)(115, 378)(116, 377)(117, 376)(118, 358)(119, 359)(120, 360)(121, 372)(122, 371)(123, 370)(124, 364)(125, 365)(126, 366)(127, 379)(128, 380)(129, 381)(130, 382)(131, 383)(132, 384)(133, 385)(134, 386)(135, 387)(136, 388)(137, 389)(138, 390)(139, 391)(140, 392)(141, 393)(142, 394)(143, 395)(144, 396)(145, 397)(146, 398)(147, 399)(148, 400)(149, 401)(150, 402)(151, 403)(152, 404)(153, 405)(154, 406)(155, 407)(156, 408)(157, 409)(158, 410)(159, 411)(160, 412)(161, 413)(162, 414)(163, 415)(164, 416)(165, 417)(166, 418)(167, 419)(168, 420)(169, 421)(170, 422)(171, 423)(172, 424)(173, 425)(174, 426)(175, 427)(176, 428)(177, 429)(178, 430)(179, 431)(180, 432)(181, 433)(182, 434)(183, 435)(184, 436)(185, 437)(186, 438)(187, 439)(188, 440)(189, 441)(190, 442)(191, 443)(192, 444)(193, 445)(194, 446)(195, 447)(196, 448)(197, 449)(198, 450)(199, 451)(200, 452)(201, 453)(202, 454)(203, 455)(204, 456)(205, 457)(206, 458)(207, 459)(208, 460)(209, 461)(210, 462)(211, 463)(212, 464)(213, 465)(214, 466)(215, 467)(216, 468)(217, 469)(218, 470)(219, 471)(220, 472)(221, 473)(222, 474)(223, 475)(224, 476)(225, 477)(226, 478)(227, 479)(228, 480)(229, 481)(230, 482)(231, 483)(232, 484)(233, 485)(234, 486)(235, 487)(236, 488)(237, 489)(238, 490)(239, 491)(240, 492)(241, 493)(242, 494)(243, 495)(244, 496)(245, 497)(246, 498)(247, 499)(248, 500)(249, 501)(250, 502)(251, 503)(252, 504)
	local type(s) :: { ( 42, 84 ), ( 42, 84, 42, 84 ) }
Outer automorphisms :: reflexible
Dual of E28.2539
Graph:: simple bipartite
	v = 189 e = 252 f = 9
	degree seq :: [ 2^126, 4^63 ]

E28.2541 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 21, 42})
Quotient :: dipole
Aut^+ = C21 x S3 (small group id <126, 12>)
Aut   = S3 x D42 (small group id <252, 36>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^2 * Y3^-1 * Y1^-2, (Y3 * Y1^-1 * Y3 * Y1 * Y3)^2, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1, Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1, Y3 * Y1^-1 * Y3 * Y1^-3 * Y3 * Y1^-17, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map::
	R = (1, 127, 2, 128, 5, 131, 11, 137, 20, 146, 32, 158, 47, 173, 61, 187, 73, 199, 85, 211, 97, 223, 109, 235, 121, 247, 115, 241, 103, 229, 91, 217, 79, 205, 67, 193, 55, 181, 41, 167, 54, 180, 40, 166, 53, 179, 39, 165, 52, 178, 66, 192, 78, 204, 90, 216, 102, 228, 114, 240, 126, 252, 120, 246, 108, 234, 96, 222, 84, 210, 72, 198, 60, 186, 46, 172, 31, 157, 19, 145, 10, 136, 4, 130)(3, 129, 7, 133, 12, 138, 22, 148, 33, 159, 49, 175, 62, 188, 75, 201, 86, 212, 99, 225, 110, 236, 123, 249, 118, 244, 106, 232, 94, 220, 82, 208, 70, 196, 58, 184, 44, 170, 29, 155, 38, 164, 24, 150, 37, 163, 23, 149, 36, 162, 50, 176, 65, 191, 76, 202, 89, 215, 100, 226, 113, 239, 124, 250, 117, 243, 105, 231, 93, 219, 81, 207, 69, 195, 57, 183, 43, 169, 28, 154, 17, 143, 8, 134)(6, 132, 13, 139, 21, 147, 34, 160, 48, 174, 63, 189, 74, 200, 87, 213, 98, 224, 111, 237, 122, 248, 116, 242, 104, 230, 92, 218, 80, 206, 68, 194, 56, 182, 42, 168, 27, 153, 16, 142, 26, 152, 15, 141, 25, 151, 35, 161, 51, 177, 64, 190, 77, 203, 88, 214, 101, 227, 112, 238, 125, 251, 119, 245, 107, 233, 95, 221, 83, 209, 71, 197, 59, 185, 45, 171, 30, 156, 18, 144, 9, 135, 14, 140)(253, 379)(254, 380)(255, 381)(256, 382)(257, 383)(258, 384)(259, 385)(260, 386)(261, 387)(262, 388)(263, 389)(264, 390)(265, 391)(266, 392)(267, 393)(268, 394)(269, 395)(270, 396)(271, 397)(272, 398)(273, 399)(274, 400)(275, 401)(276, 402)(277, 403)(278, 404)(279, 405)(280, 406)(281, 407)(282, 408)(283, 409)(284, 410)(285, 411)(286, 412)(287, 413)(288, 414)(289, 415)(290, 416)(291, 417)(292, 418)(293, 419)(294, 420)(295, 421)(296, 422)(297, 423)(298, 424)(299, 425)(300, 426)(301, 427)(302, 428)(303, 429)(304, 430)(305, 431)(306, 432)(307, 433)(308, 434)(309, 435)(310, 436)(311, 437)(312, 438)(313, 439)(314, 440)(315, 441)(316, 442)(317, 443)(318, 444)(319, 445)(320, 446)(321, 447)(322, 448)(323, 449)(324, 450)(325, 451)(326, 452)(327, 453)(328, 454)(329, 455)(330, 456)(331, 457)(332, 458)(333, 459)(334, 460)(335, 461)(336, 462)(337, 463)(338, 464)(339, 465)(340, 466)(341, 467)(342, 468)(343, 469)(344, 470)(345, 471)(346, 472)(347, 473)(348, 474)(349, 475)(350, 476)(351, 477)(352, 478)(353, 479)(354, 480)(355, 481)(356, 482)(357, 483)(358, 484)(359, 485)(360, 486)(361, 487)(362, 488)(363, 489)(364, 490)(365, 491)(366, 492)(367, 493)(368, 494)(369, 495)(370, 496)(371, 497)(372, 498)(373, 499)(374, 500)(375, 501)(376, 502)(377, 503)(378, 504)
	L = (1, 255)(2, 258)(3, 253)(4, 261)(5, 264)(6, 254)(7, 267)(8, 268)(9, 256)(10, 269)(11, 273)(12, 257)(13, 275)(14, 276)(15, 259)(16, 260)(17, 262)(18, 281)(19, 282)(20, 285)(21, 263)(22, 287)(23, 265)(24, 266)(25, 291)(26, 292)(27, 293)(28, 294)(29, 270)(30, 271)(31, 295)(32, 300)(33, 272)(34, 302)(35, 274)(36, 304)(37, 305)(38, 306)(39, 277)(40, 278)(41, 279)(42, 280)(43, 283)(44, 307)(45, 310)(46, 311)(47, 314)(48, 284)(49, 316)(50, 286)(51, 318)(52, 288)(53, 289)(54, 290)(55, 296)(56, 319)(57, 320)(58, 297)(59, 298)(60, 321)(61, 326)(62, 299)(63, 328)(64, 301)(65, 330)(66, 303)(67, 308)(68, 309)(69, 312)(70, 331)(71, 334)(72, 335)(73, 338)(74, 313)(75, 340)(76, 315)(77, 342)(78, 317)(79, 322)(80, 343)(81, 344)(82, 323)(83, 324)(84, 345)(85, 350)(86, 325)(87, 352)(88, 327)(89, 354)(90, 329)(91, 332)(92, 333)(93, 336)(94, 355)(95, 358)(96, 359)(97, 362)(98, 337)(99, 364)(100, 339)(101, 366)(102, 341)(103, 346)(104, 367)(105, 368)(106, 347)(107, 348)(108, 369)(109, 374)(110, 349)(111, 376)(112, 351)(113, 378)(114, 353)(115, 356)(116, 357)(117, 360)(118, 373)(119, 375)(120, 377)(121, 370)(122, 361)(123, 371)(124, 363)(125, 372)(126, 365)(127, 379)(128, 380)(129, 381)(130, 382)(131, 383)(132, 384)(133, 385)(134, 386)(135, 387)(136, 388)(137, 389)(138, 390)(139, 391)(140, 392)(141, 393)(142, 394)(143, 395)(144, 396)(145, 397)(146, 398)(147, 399)(148, 400)(149, 401)(150, 402)(151, 403)(152, 404)(153, 405)(154, 406)(155, 407)(156, 408)(157, 409)(158, 410)(159, 411)(160, 412)(161, 413)(162, 414)(163, 415)(164, 416)(165, 417)(166, 418)(167, 419)(168, 420)(169, 421)(170, 422)(171, 423)(172, 424)(173, 425)(174, 426)(175, 427)(176, 428)(177, 429)(178, 430)(179, 431)(180, 432)(181, 433)(182, 434)(183, 435)(184, 436)(185, 437)(186, 438)(187, 439)(188, 440)(189, 441)(190, 442)(191, 443)(192, 444)(193, 445)(194, 446)(195, 447)(196, 448)(197, 449)(198, 450)(199, 451)(200, 452)(201, 453)(202, 454)(203, 455)(204, 456)(205, 457)(206, 458)(207, 459)(208, 460)(209, 461)(210, 462)(211, 463)(212, 464)(213, 465)(214, 466)(215, 467)(216, 468)(217, 469)(218, 470)(219, 471)(220, 472)(221, 473)(222, 474)(223, 475)(224, 476)(225, 477)(226, 478)(227, 479)(228, 480)(229, 481)(230, 482)(231, 483)(232, 484)(233, 485)(234, 486)(235, 487)(236, 488)(237, 489)(238, 490)(239, 491)(240, 492)(241, 493)(242, 494)(243, 495)(244, 496)(245, 497)(246, 498)(247, 499)(248, 500)(249, 501)(250, 502)(251, 503)(252, 504)
	local type(s) :: { ( 4, 42 ), ( 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42 ) }
Outer automorphisms :: reflexible
Dual of E28.2538
Graph:: simple bipartite
	v = 129 e = 252 f = 69
	degree seq :: [ 2^126, 84^3 ]

E28.2542 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 21, 42})
Quotient :: dipole
Aut^+ = C21 x S3 (small group id <126, 12>)
Aut   = S3 x D42 (small group id <252, 36>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^-2 * Y1 * Y2^2 * Y1, (Y2^-1 * R * Y2^-1)^2, Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1, Y2^19 * Y1 * Y2 * Y1 * Y2 * Y1, (Y3 * Y2^-1)^21 ]
Map::
	R = (1, 127, 2, 128)(3, 129, 7, 133)(4, 130, 9, 135)(5, 131, 11, 137)(6, 132, 13, 139)(8, 134, 12, 138)(10, 136, 14, 140)(15, 141, 25, 151)(16, 142, 27, 153)(17, 143, 26, 152)(18, 144, 29, 155)(19, 145, 30, 156)(20, 146, 32, 158)(21, 147, 34, 160)(22, 148, 33, 159)(23, 149, 36, 162)(24, 150, 37, 163)(28, 154, 35, 161)(31, 157, 38, 164)(39, 165, 47, 173)(40, 166, 48, 174)(41, 167, 55, 181)(42, 168, 50, 176)(43, 169, 56, 182)(44, 170, 52, 178)(45, 171, 58, 184)(46, 172, 59, 185)(49, 175, 61, 187)(51, 177, 62, 188)(53, 179, 64, 190)(54, 180, 65, 191)(57, 183, 63, 189)(60, 186, 66, 192)(67, 193, 73, 199)(68, 194, 79, 205)(69, 195, 80, 206)(70, 196, 76, 202)(71, 197, 82, 208)(72, 198, 83, 209)(74, 200, 85, 211)(75, 201, 86, 212)(77, 203, 88, 214)(78, 204, 89, 215)(81, 207, 87, 213)(84, 210, 90, 216)(91, 217, 97, 223)(92, 218, 103, 229)(93, 219, 104, 230)(94, 220, 100, 226)(95, 221, 106, 232)(96, 222, 107, 233)(98, 224, 109, 235)(99, 225, 110, 236)(101, 227, 112, 238)(102, 228, 113, 239)(105, 231, 111, 237)(108, 234, 114, 240)(115, 241, 121, 247)(116, 242, 126, 252)(117, 243, 125, 251)(118, 244, 124, 250)(119, 245, 123, 249)(120, 246, 122, 248)(253, 379, 255, 381, 260, 386, 269, 395, 280, 406, 295, 421, 309, 435, 321, 447, 333, 459, 345, 471, 357, 483, 369, 495, 376, 502, 364, 490, 352, 478, 340, 466, 328, 454, 316, 442, 304, 430, 288, 414, 302, 428, 286, 412, 300, 426, 284, 410, 299, 425, 313, 439, 325, 451, 337, 463, 349, 475, 361, 487, 373, 499, 372, 498, 360, 486, 348, 474, 336, 462, 324, 450, 312, 438, 298, 424, 283, 409, 271, 397, 262, 388, 256, 382)(254, 380, 257, 383, 264, 390, 274, 400, 287, 413, 303, 429, 315, 441, 327, 453, 339, 465, 351, 477, 363, 489, 375, 501, 370, 496, 358, 484, 346, 472, 334, 460, 322, 448, 310, 436, 296, 422, 281, 407, 294, 420, 279, 405, 292, 418, 277, 403, 291, 417, 307, 433, 319, 445, 331, 457, 343, 469, 355, 481, 367, 493, 378, 504, 366, 492, 354, 480, 342, 468, 330, 456, 318, 444, 306, 432, 290, 416, 276, 402, 266, 392, 258, 384)(259, 385, 267, 393, 278, 404, 293, 419, 308, 434, 320, 446, 332, 458, 344, 470, 356, 482, 368, 494, 377, 503, 365, 491, 353, 479, 341, 467, 329, 455, 317, 443, 305, 431, 289, 415, 275, 401, 265, 391, 273, 399, 263, 389, 272, 398, 285, 411, 301, 427, 314, 440, 326, 452, 338, 464, 350, 476, 362, 488, 374, 500, 371, 497, 359, 485, 347, 473, 335, 461, 323, 449, 311, 437, 297, 423, 282, 408, 270, 396, 261, 387, 268, 394)
	L = (1, 254)(2, 253)(3, 259)(4, 261)(5, 263)(6, 265)(7, 255)(8, 264)(9, 256)(10, 266)(11, 257)(12, 260)(13, 258)(14, 262)(15, 277)(16, 279)(17, 278)(18, 281)(19, 282)(20, 284)(21, 286)(22, 285)(23, 288)(24, 289)(25, 267)(26, 269)(27, 268)(28, 287)(29, 270)(30, 271)(31, 290)(32, 272)(33, 274)(34, 273)(35, 280)(36, 275)(37, 276)(38, 283)(39, 299)(40, 300)(41, 307)(42, 302)(43, 308)(44, 304)(45, 310)(46, 311)(47, 291)(48, 292)(49, 313)(50, 294)(51, 314)(52, 296)(53, 316)(54, 317)(55, 293)(56, 295)(57, 315)(58, 297)(59, 298)(60, 318)(61, 301)(62, 303)(63, 309)(64, 305)(65, 306)(66, 312)(67, 325)(68, 331)(69, 332)(70, 328)(71, 334)(72, 335)(73, 319)(74, 337)(75, 338)(76, 322)(77, 340)(78, 341)(79, 320)(80, 321)(81, 339)(82, 323)(83, 324)(84, 342)(85, 326)(86, 327)(87, 333)(88, 329)(89, 330)(90, 336)(91, 349)(92, 355)(93, 356)(94, 352)(95, 358)(96, 359)(97, 343)(98, 361)(99, 362)(100, 346)(101, 364)(102, 365)(103, 344)(104, 345)(105, 363)(106, 347)(107, 348)(108, 366)(109, 350)(110, 351)(111, 357)(112, 353)(113, 354)(114, 360)(115, 373)(116, 378)(117, 377)(118, 376)(119, 375)(120, 374)(121, 367)(122, 372)(123, 371)(124, 370)(125, 369)(126, 368)(127, 379)(128, 380)(129, 381)(130, 382)(131, 383)(132, 384)(133, 385)(134, 386)(135, 387)(136, 388)(137, 389)(138, 390)(139, 391)(140, 392)(141, 393)(142, 394)(143, 395)(144, 396)(145, 397)(146, 398)(147, 399)(148, 400)(149, 401)(150, 402)(151, 403)(152, 404)(153, 405)(154, 406)(155, 407)(156, 408)(157, 409)(158, 410)(159, 411)(160, 412)(161, 413)(162, 414)(163, 415)(164, 416)(165, 417)(166, 418)(167, 419)(168, 420)(169, 421)(170, 422)(171, 423)(172, 424)(173, 425)(174, 426)(175, 427)(176, 428)(177, 429)(178, 430)(179, 431)(180, 432)(181, 433)(182, 434)(183, 435)(184, 436)(185, 437)(186, 438)(187, 439)(188, 440)(189, 441)(190, 442)(191, 443)(192, 444)(193, 445)(194, 446)(195, 447)(196, 448)(197, 449)(198, 450)(199, 451)(200, 452)(201, 453)(202, 454)(203, 455)(204, 456)(205, 457)(206, 458)(207, 459)(208, 460)(209, 461)(210, 462)(211, 463)(212, 464)(213, 465)(214, 466)(215, 467)(216, 468)(217, 469)(218, 470)(219, 471)(220, 472)(221, 473)(222, 474)(223, 475)(224, 476)(225, 477)(226, 478)(227, 479)(228, 480)(229, 481)(230, 482)(231, 483)(232, 484)(233, 485)(234, 486)(235, 487)(236, 488)(237, 489)(238, 490)(239, 491)(240, 492)(241, 493)(242, 494)(243, 495)(244, 496)(245, 497)(246, 498)(247, 499)(248, 500)(249, 501)(250, 502)(251, 503)(252, 504)
	local type(s) :: { ( 2, 42, 2, 42 ), ( 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42 ) }
Outer automorphisms :: reflexible
Dual of E28.2543
Graph:: bipartite
	v = 66 e = 252 f = 132
	degree seq :: [ 4^63, 84^3 ]

E28.2543 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 21, 42})
Quotient :: dipole
Aut^+ = C21 x S3 (small group id <126, 12>)
Aut   = S3 x D42 (small group id <252, 36>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y3 * Y1^-1 * Y3^-3 * Y1^-1, Y1^-1 * Y3^-3 * Y1^-1 * Y3, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^2 * Y3^-1 * Y1^-4, Y3^-1 * Y1^2 * Y3^-1 * Y1^5 * Y3^-12, Y3^-1 * Y1^2 * Y3^-1 * Y1^17, (Y3 * Y2^-1)^42 ]
Map::
	R = (1, 127, 2, 128, 6, 132, 16, 142, 34, 160, 53, 179, 67, 193, 79, 205, 91, 217, 103, 229, 115, 241, 125, 251, 114, 240, 100, 226, 86, 212, 73, 199, 63, 189, 51, 177, 31, 157, 13, 139, 4, 130)(3, 129, 9, 135, 23, 149, 35, 161, 18, 144, 39, 165, 59, 185, 68, 194, 81, 207, 95, 221, 104, 230, 117, 243, 126, 252, 112, 238, 98, 224, 85, 211, 75, 201, 65, 191, 52, 178, 28, 154, 11, 137)(5, 131, 14, 140, 32, 158, 36, 162, 56, 182, 71, 197, 80, 206, 93, 219, 107, 233, 116, 242, 123, 249, 113, 239, 102, 228, 88, 214, 74, 200, 61, 187, 49, 175, 30, 156, 42, 168, 20, 146, 7, 133)(8, 134, 21, 147, 43, 169, 54, 180, 69, 195, 83, 209, 92, 218, 105, 231, 119, 245, 122, 248, 109, 235, 99, 225, 89, 215, 78, 204, 64, 190, 48, 174, 25, 151, 12, 138, 29, 155, 38, 164, 17, 143)(10, 136, 19, 145, 37, 163, 55, 181, 46, 172, 33, 159, 44, 170, 60, 186, 72, 198, 84, 210, 96, 222, 108, 234, 120, 246, 124, 250, 110, 236, 97, 223, 87, 213, 77, 203, 66, 192, 50, 176, 26, 152)(15, 141, 22, 148, 40, 166, 57, 183, 70, 196, 82, 208, 94, 220, 106, 232, 118, 244, 121, 247, 111, 237, 101, 227, 90, 216, 76, 202, 62, 188, 47, 173, 27, 153, 41, 167, 58, 184, 45, 171, 24, 150)(253, 379)(254, 380)(255, 381)(256, 382)(257, 383)(258, 384)(259, 385)(260, 386)(261, 387)(262, 388)(263, 389)(264, 390)(265, 391)(266, 392)(267, 393)(268, 394)(269, 395)(270, 396)(271, 397)(272, 398)(273, 399)(274, 400)(275, 401)(276, 402)(277, 403)(278, 404)(279, 405)(280, 406)(281, 407)(282, 408)(283, 409)(284, 410)(285, 411)(286, 412)(287, 413)(288, 414)(289, 415)(290, 416)(291, 417)(292, 418)(293, 419)(294, 420)(295, 421)(296, 422)(297, 423)(298, 424)(299, 425)(300, 426)(301, 427)(302, 428)(303, 429)(304, 430)(305, 431)(306, 432)(307, 433)(308, 434)(309, 435)(310, 436)(311, 437)(312, 438)(313, 439)(314, 440)(315, 441)(316, 442)(317, 443)(318, 444)(319, 445)(320, 446)(321, 447)(322, 448)(323, 449)(324, 450)(325, 451)(326, 452)(327, 453)(328, 454)(329, 455)(330, 456)(331, 457)(332, 458)(333, 459)(334, 460)(335, 461)(336, 462)(337, 463)(338, 464)(339, 465)(340, 466)(341, 467)(342, 468)(343, 469)(344, 470)(345, 471)(346, 472)(347, 473)(348, 474)(349, 475)(350, 476)(351, 477)(352, 478)(353, 479)(354, 480)(355, 481)(356, 482)(357, 483)(358, 484)(359, 485)(360, 486)(361, 487)(362, 488)(363, 489)(364, 490)(365, 491)(366, 492)(367, 493)(368, 494)(369, 495)(370, 496)(371, 497)(372, 498)(373, 499)(374, 500)(375, 501)(376, 502)(377, 503)(378, 504)
	L = (1, 255)(2, 259)(3, 262)(4, 264)(5, 253)(6, 269)(7, 271)(8, 254)(9, 256)(10, 277)(11, 279)(12, 278)(13, 282)(14, 276)(15, 257)(16, 287)(17, 289)(18, 258)(19, 263)(20, 293)(21, 267)(22, 260)(23, 297)(24, 261)(25, 299)(26, 301)(27, 300)(28, 303)(29, 265)(30, 302)(31, 304)(32, 298)(33, 266)(34, 284)(35, 307)(36, 268)(37, 272)(38, 310)(39, 274)(40, 270)(41, 280)(42, 283)(43, 285)(44, 273)(45, 281)(46, 275)(47, 313)(48, 315)(49, 314)(50, 317)(51, 316)(52, 318)(53, 295)(54, 286)(55, 290)(56, 292)(57, 288)(58, 294)(59, 296)(60, 291)(61, 325)(62, 327)(63, 326)(64, 329)(65, 328)(66, 330)(67, 311)(68, 305)(69, 309)(70, 306)(71, 312)(72, 308)(73, 337)(74, 339)(75, 338)(76, 341)(77, 340)(78, 342)(79, 323)(80, 319)(81, 322)(82, 320)(83, 324)(84, 321)(85, 349)(86, 351)(87, 350)(88, 353)(89, 352)(90, 354)(91, 335)(92, 331)(93, 334)(94, 332)(95, 336)(96, 333)(97, 361)(98, 363)(99, 362)(100, 365)(101, 364)(102, 366)(103, 347)(104, 343)(105, 346)(106, 344)(107, 348)(108, 345)(109, 373)(110, 375)(111, 374)(112, 377)(113, 376)(114, 378)(115, 359)(116, 355)(117, 358)(118, 356)(119, 360)(120, 357)(121, 368)(122, 367)(123, 370)(124, 369)(125, 371)(126, 372)(127, 379)(128, 380)(129, 381)(130, 382)(131, 383)(132, 384)(133, 385)(134, 386)(135, 387)(136, 388)(137, 389)(138, 390)(139, 391)(140, 392)(141, 393)(142, 394)(143, 395)(144, 396)(145, 397)(146, 398)(147, 399)(148, 400)(149, 401)(150, 402)(151, 403)(152, 404)(153, 405)(154, 406)(155, 407)(156, 408)(157, 409)(158, 410)(159, 411)(160, 412)(161, 413)(162, 414)(163, 415)(164, 416)(165, 417)(166, 418)(167, 419)(168, 420)(169, 421)(170, 422)(171, 423)(172, 424)(173, 425)(174, 426)(175, 427)(176, 428)(177, 429)(178, 430)(179, 431)(180, 432)(181, 433)(182, 434)(183, 435)(184, 436)(185, 437)(186, 438)(187, 439)(188, 440)(189, 441)(190, 442)(191, 443)(192, 444)(193, 445)(194, 446)(195, 447)(196, 448)(197, 449)(198, 450)(199, 451)(200, 452)(201, 453)(202, 454)(203, 455)(204, 456)(205, 457)(206, 458)(207, 459)(208, 460)(209, 461)(210, 462)(211, 463)(212, 464)(213, 465)(214, 466)(215, 467)(216, 468)(217, 469)(218, 470)(219, 471)(220, 472)(221, 473)(222, 474)(223, 475)(224, 476)(225, 477)(226, 478)(227, 479)(228, 480)(229, 481)(230, 482)(231, 483)(232, 484)(233, 485)(234, 486)(235, 487)(236, 488)(237, 489)(238, 490)(239, 491)(240, 492)(241, 493)(242, 494)(243, 495)(244, 496)(245, 497)(246, 498)(247, 499)(248, 500)(249, 501)(250, 502)(251, 503)(252, 504)
	local type(s) :: { ( 4, 84 ), ( 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84 ) }
Outer automorphisms :: reflexible
Dual of E28.2542
Graph:: simple bipartite
	v = 132 e = 252 f = 66
	degree seq :: [ 2^126, 42^6 ]

E28.2544 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 18, 63})
Quotient :: regular
Aut^+ = C9 x D14 (small group id <126, 4>)
Aut   = D14 x D18 (small group id <252, 8>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1^-8 * T2 * T1^-1 * T2, T1^-2 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^2 * T2, T1^-3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^-3 * T2 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 43, 59, 34, 17, 29, 49, 73, 95, 109, 86, 60, 35, 53, 77, 99, 115, 124, 110, 87, 61, 80, 102, 118, 125, 121, 105, 82, 88, 104, 120, 126, 122, 106, 83, 56, 79, 101, 117, 123, 107, 84, 57, 32, 52, 76, 98, 108, 85, 58, 33, 16, 28, 48, 70, 42, 22, 10, 4)(3, 7, 15, 31, 55, 64, 38, 20, 9, 19, 37, 63, 89, 91, 66, 40, 21, 39, 65, 90, 111, 113, 93, 68, 41, 67, 92, 112, 116, 96, 71, 44, 69, 94, 114, 119, 100, 74, 46, 24, 45, 72, 97, 103, 78, 50, 26, 12, 25, 47, 75, 81, 54, 30, 14, 6, 13, 27, 51, 62, 36, 18, 8)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 35)(19, 33)(20, 34)(22, 41)(23, 44)(25, 48)(26, 49)(27, 52)(30, 53)(31, 56)(36, 61)(37, 57)(38, 60)(39, 58)(40, 59)(42, 69)(43, 68)(45, 70)(46, 73)(47, 76)(50, 77)(51, 79)(54, 80)(55, 82)(62, 88)(63, 83)(64, 87)(65, 84)(66, 86)(67, 85)(71, 95)(72, 98)(74, 99)(75, 101)(78, 102)(81, 104)(89, 105)(90, 106)(91, 110)(92, 107)(93, 109)(94, 108)(96, 115)(97, 117)(100, 118)(103, 120)(111, 121)(112, 122)(113, 124)(114, 123)(116, 125)(119, 126)
	local type(s) :: { ( 18^63 ) }
Outer automorphisms :: reflexible
Dual of E28.2545
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 63 f = 7
	degree seq :: [ 63^2 ]

E28.2545 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 18, 63})
Quotient :: regular
Aut^+ = C9 x D14 (small group id <126, 4>)
Aut   = D14 x D18 (small group id <252, 8>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1^-2 * T2 * T1^2, T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-3 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1, T1^18 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 32, 47, 65, 86, 106, 105, 85, 64, 46, 31, 19, 10, 4)(3, 7, 12, 22, 33, 49, 66, 88, 107, 121, 118, 102, 81, 60, 43, 28, 17, 8)(6, 13, 21, 34, 48, 67, 87, 108, 120, 119, 104, 84, 63, 45, 30, 18, 9, 14)(15, 25, 35, 51, 68, 90, 109, 123, 126, 124, 117, 101, 80, 59, 42, 27, 16, 26)(23, 36, 50, 69, 89, 110, 122, 116, 125, 115, 103, 83, 62, 44, 29, 38, 24, 37)(39, 55, 70, 92, 111, 96, 114, 95, 113, 94, 112, 93, 79, 58, 41, 57, 40, 56)(52, 71, 91, 78, 100, 77, 99, 76, 98, 75, 97, 82, 61, 74, 54, 73, 53, 72)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 21)(13, 23)(14, 24)(18, 29)(19, 30)(20, 33)(22, 35)(25, 39)(26, 40)(27, 41)(28, 42)(31, 43)(32, 48)(34, 50)(36, 52)(37, 53)(38, 54)(44, 61)(45, 62)(46, 63)(47, 66)(49, 68)(51, 70)(55, 75)(56, 76)(57, 77)(58, 78)(59, 79)(60, 80)(64, 81)(65, 87)(67, 89)(69, 91)(71, 93)(72, 94)(73, 95)(74, 96)(82, 92)(83, 97)(84, 103)(85, 104)(86, 107)(88, 109)(90, 111)(98, 115)(99, 116)(100, 110)(101, 112)(102, 117)(105, 118)(106, 120)(108, 122)(113, 124)(114, 123)(119, 125)(121, 126)
	local type(s) :: { ( 63^18 ) }
Outer automorphisms :: reflexible
Dual of E28.2544
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 7 e = 63 f = 2
	degree seq :: [ 18^7 ]

E28.2546 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 18, 63})
Quotient :: edge
Aut^+ = C9 x D14 (small group id <126, 4>)
Aut   = D14 x D18 (small group id <252, 8>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^2 * T1 * T2^-1, T2 * T1 * T2 * T1 * T2^3 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1, T2^18 ]
Map::
	R = (1, 3, 8, 17, 28, 43, 60, 81, 102, 118, 105, 85, 64, 46, 31, 19, 10, 4)(2, 5, 12, 22, 35, 51, 70, 92, 111, 123, 114, 96, 74, 54, 38, 24, 14, 6)(7, 15, 26, 41, 58, 79, 100, 117, 125, 119, 104, 84, 63, 45, 30, 18, 9, 16)(11, 20, 33, 49, 68, 90, 109, 122, 126, 124, 113, 95, 73, 53, 37, 23, 13, 21)(25, 39, 56, 77, 98, 110, 121, 108, 120, 106, 103, 83, 62, 44, 29, 42, 27, 40)(32, 47, 66, 88, 107, 101, 116, 99, 115, 97, 112, 94, 72, 52, 36, 50, 34, 48)(55, 75, 93, 71, 91, 69, 89, 67, 87, 65, 86, 82, 61, 80, 59, 78, 57, 76)(127, 128)(129, 133)(130, 135)(131, 137)(132, 139)(134, 138)(136, 140)(141, 151)(142, 153)(143, 152)(144, 155)(145, 156)(146, 158)(147, 160)(148, 159)(149, 162)(150, 163)(154, 161)(157, 164)(165, 181)(166, 183)(167, 182)(168, 185)(169, 184)(170, 187)(171, 188)(172, 189)(173, 191)(174, 193)(175, 192)(176, 195)(177, 194)(178, 197)(179, 198)(180, 199)(186, 196)(190, 200)(201, 220)(202, 223)(203, 219)(204, 225)(205, 224)(206, 227)(207, 226)(208, 214)(209, 212)(210, 229)(211, 230)(213, 232)(215, 234)(216, 233)(217, 236)(218, 235)(221, 238)(222, 239)(228, 237)(231, 240)(241, 250)(242, 248)(243, 247)(244, 251)(245, 246)(249, 252)
	L = (1, 127)(2, 128)(3, 129)(4, 130)(5, 131)(6, 132)(7, 133)(8, 134)(9, 135)(10, 136)(11, 137)(12, 138)(13, 139)(14, 140)(15, 141)(16, 142)(17, 143)(18, 144)(19, 145)(20, 146)(21, 147)(22, 148)(23, 149)(24, 150)(25, 151)(26, 152)(27, 153)(28, 154)(29, 155)(30, 156)(31, 157)(32, 158)(33, 159)(34, 160)(35, 161)(36, 162)(37, 163)(38, 164)(39, 165)(40, 166)(41, 167)(42, 168)(43, 169)(44, 170)(45, 171)(46, 172)(47, 173)(48, 174)(49, 175)(50, 176)(51, 177)(52, 178)(53, 179)(54, 180)(55, 181)(56, 182)(57, 183)(58, 184)(59, 185)(60, 186)(61, 187)(62, 188)(63, 189)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)
	local type(s) :: { ( 126, 126 ), ( 126^18 ) }
Outer automorphisms :: reflexible
Dual of E28.2550
Transitivity :: ET+
Graph:: simple bipartite
	v = 70 e = 126 f = 2
	degree seq :: [ 2^63, 18^7 ]

E28.2547 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 18, 63})
Quotient :: edge
Aut^+ = C9 x D14 (small group id <126, 4>)
Aut   = D14 x D18 (small group id <252, 8>)
|r| :: 2
Presentation :: [ F^2, (T1 * T2)^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1^-3 * T2^-1 * T1, T1^3 * T2 * T1^-1 * T2, T2^-2 * T1^2 * T2^-5, T1^-2 * T2^-3 * T1 * T2^-1 * T1^-1 * T2^2, (T2^-1 * T1 * T2^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 48, 38, 18, 6, 17, 36, 64, 91, 89, 61, 34, 21, 42, 70, 95, 113, 109, 86, 62, 43, 71, 96, 114, 124, 122, 110, 90, 72, 82, 104, 119, 126, 123, 112, 94, 69, 55, 81, 103, 118, 111, 93, 67, 41, 30, 53, 79, 101, 92, 66, 39, 20, 13, 28, 51, 59, 33, 15, 5)(2, 7, 19, 40, 68, 63, 35, 16, 14, 31, 56, 83, 105, 87, 60, 37, 32, 57, 84, 106, 120, 108, 88, 65, 58, 85, 107, 121, 125, 116, 99, 76, 49, 77, 100, 117, 115, 98, 75, 47, 26, 50, 78, 102, 97, 74, 46, 24, 11, 27, 52, 80, 73, 45, 23, 9, 4, 12, 29, 54, 44, 22, 8)(127, 128, 132, 142, 160, 186, 212, 234, 248, 251, 252, 243, 229, 204, 179, 153, 139, 130)(129, 135, 143, 134, 147, 161, 188, 213, 236, 246, 249, 247, 244, 226, 205, 176, 154, 137)(131, 140, 144, 163, 187, 214, 235, 242, 250, 241, 245, 228, 207, 178, 156, 138, 146, 133)(136, 150, 162, 149, 168, 148, 169, 189, 216, 231, 238, 232, 237, 233, 227, 203, 177, 152)(141, 158, 164, 191, 215, 225, 239, 224, 240, 223, 230, 206, 181, 155, 167, 145, 165, 157)(151, 173, 190, 172, 196, 171, 197, 170, 198, 194, 220, 209, 219, 210, 218, 211, 185, 175)(159, 184, 174, 202, 217, 201, 221, 200, 222, 199, 208, 180, 195, 166, 193, 182, 192, 183)
	L = (1, 127)(2, 128)(3, 129)(4, 130)(5, 131)(6, 132)(7, 133)(8, 134)(9, 135)(10, 136)(11, 137)(12, 138)(13, 139)(14, 140)(15, 141)(16, 142)(17, 143)(18, 144)(19, 145)(20, 146)(21, 147)(22, 148)(23, 149)(24, 150)(25, 151)(26, 152)(27, 153)(28, 154)(29, 155)(30, 156)(31, 157)(32, 158)(33, 159)(34, 160)(35, 161)(36, 162)(37, 163)(38, 164)(39, 165)(40, 166)(41, 167)(42, 168)(43, 169)(44, 170)(45, 171)(46, 172)(47, 173)(48, 174)(49, 175)(50, 176)(51, 177)(52, 178)(53, 179)(54, 180)(55, 181)(56, 182)(57, 183)(58, 184)(59, 185)(60, 186)(61, 187)(62, 188)(63, 189)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)
	local type(s) :: { ( 4^18 ), ( 4^63 ) }
Outer automorphisms :: reflexible
Dual of E28.2551
Transitivity :: ET+
Graph:: bipartite
	v = 9 e = 126 f = 63
	degree seq :: [ 18^7, 63^2 ]

E28.2548 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 18, 63})
Quotient :: edge
Aut^+ = C9 x D14 (small group id <126, 4>)
Aut   = D14 x D18 (small group id <252, 8>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1^-8 * T2 * T1^-1 * T2, T1^-2 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^2 * T2, T1^-3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^-3 * T2 ]
Map::
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 35)(19, 33)(20, 34)(22, 41)(23, 44)(25, 48)(26, 49)(27, 52)(30, 53)(31, 56)(36, 61)(37, 57)(38, 60)(39, 58)(40, 59)(42, 69)(43, 68)(45, 70)(46, 73)(47, 76)(50, 77)(51, 79)(54, 80)(55, 82)(62, 88)(63, 83)(64, 87)(65, 84)(66, 86)(67, 85)(71, 95)(72, 98)(74, 99)(75, 101)(78, 102)(81, 104)(89, 105)(90, 106)(91, 110)(92, 107)(93, 109)(94, 108)(96, 115)(97, 117)(100, 118)(103, 120)(111, 121)(112, 122)(113, 124)(114, 123)(116, 125)(119, 126)(127, 128, 131, 137, 149, 169, 185, 160, 143, 155, 175, 199, 221, 235, 212, 186, 161, 179, 203, 225, 241, 250, 236, 213, 187, 206, 228, 244, 251, 247, 231, 208, 214, 230, 246, 252, 248, 232, 209, 182, 205, 227, 243, 249, 233, 210, 183, 158, 178, 202, 224, 234, 211, 184, 159, 142, 154, 174, 196, 168, 148, 136, 130)(129, 133, 141, 157, 181, 190, 164, 146, 135, 145, 163, 189, 215, 217, 192, 166, 147, 165, 191, 216, 237, 239, 219, 194, 167, 193, 218, 238, 242, 222, 197, 170, 195, 220, 240, 245, 226, 200, 172, 150, 171, 198, 223, 229, 204, 176, 152, 138, 151, 173, 201, 207, 180, 156, 140, 132, 139, 153, 177, 188, 162, 144, 134)
	L = (1, 127)(2, 128)(3, 129)(4, 130)(5, 131)(6, 132)(7, 133)(8, 134)(9, 135)(10, 136)(11, 137)(12, 138)(13, 139)(14, 140)(15, 141)(16, 142)(17, 143)(18, 144)(19, 145)(20, 146)(21, 147)(22, 148)(23, 149)(24, 150)(25, 151)(26, 152)(27, 153)(28, 154)(29, 155)(30, 156)(31, 157)(32, 158)(33, 159)(34, 160)(35, 161)(36, 162)(37, 163)(38, 164)(39, 165)(40, 166)(41, 167)(42, 168)(43, 169)(44, 170)(45, 171)(46, 172)(47, 173)(48, 174)(49, 175)(50, 176)(51, 177)(52, 178)(53, 179)(54, 180)(55, 181)(56, 182)(57, 183)(58, 184)(59, 185)(60, 186)(61, 187)(62, 188)(63, 189)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)
	local type(s) :: { ( 36, 36 ), ( 36^63 ) }
Outer automorphisms :: reflexible
Dual of E28.2549
Transitivity :: ET+
Graph:: simple bipartite
	v = 65 e = 126 f = 7
	degree seq :: [ 2^63, 63^2 ]

E28.2549 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 18, 63})
Quotient :: loop
Aut^+ = C9 x D14 (small group id <126, 4>)
Aut   = D14 x D18 (small group id <252, 8>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^2 * T1 * T2^-1, T2 * T1 * T2 * T1 * T2^3 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1, T2^18 ]
Map::
	R = (1, 127, 3, 129, 8, 134, 17, 143, 28, 154, 43, 169, 60, 186, 81, 207, 102, 228, 118, 244, 105, 231, 85, 211, 64, 190, 46, 172, 31, 157, 19, 145, 10, 136, 4, 130)(2, 128, 5, 131, 12, 138, 22, 148, 35, 161, 51, 177, 70, 196, 92, 218, 111, 237, 123, 249, 114, 240, 96, 222, 74, 200, 54, 180, 38, 164, 24, 150, 14, 140, 6, 132)(7, 133, 15, 141, 26, 152, 41, 167, 58, 184, 79, 205, 100, 226, 117, 243, 125, 251, 119, 245, 104, 230, 84, 210, 63, 189, 45, 171, 30, 156, 18, 144, 9, 135, 16, 142)(11, 137, 20, 146, 33, 159, 49, 175, 68, 194, 90, 216, 109, 235, 122, 248, 126, 252, 124, 250, 113, 239, 95, 221, 73, 199, 53, 179, 37, 163, 23, 149, 13, 139, 21, 147)(25, 151, 39, 165, 56, 182, 77, 203, 98, 224, 110, 236, 121, 247, 108, 234, 120, 246, 106, 232, 103, 229, 83, 209, 62, 188, 44, 170, 29, 155, 42, 168, 27, 153, 40, 166)(32, 158, 47, 173, 66, 192, 88, 214, 107, 233, 101, 227, 116, 242, 99, 225, 115, 241, 97, 223, 112, 238, 94, 220, 72, 198, 52, 178, 36, 162, 50, 176, 34, 160, 48, 174)(55, 181, 75, 201, 93, 219, 71, 197, 91, 217, 69, 195, 89, 215, 67, 193, 87, 213, 65, 191, 86, 212, 82, 208, 61, 187, 80, 206, 59, 185, 78, 204, 57, 183, 76, 202)
	L = (1, 128)(2, 127)(3, 133)(4, 135)(5, 137)(6, 139)(7, 129)(8, 138)(9, 130)(10, 140)(11, 131)(12, 134)(13, 132)(14, 136)(15, 151)(16, 153)(17, 152)(18, 155)(19, 156)(20, 158)(21, 160)(22, 159)(23, 162)(24, 163)(25, 141)(26, 143)(27, 142)(28, 161)(29, 144)(30, 145)(31, 164)(32, 146)(33, 148)(34, 147)(35, 154)(36, 149)(37, 150)(38, 157)(39, 181)(40, 183)(41, 182)(42, 185)(43, 184)(44, 187)(45, 188)(46, 189)(47, 191)(48, 193)(49, 192)(50, 195)(51, 194)(52, 197)(53, 198)(54, 199)(55, 165)(56, 167)(57, 166)(58, 169)(59, 168)(60, 196)(61, 170)(62, 171)(63, 172)(64, 200)(65, 173)(66, 175)(67, 174)(68, 177)(69, 176)(70, 186)(71, 178)(72, 179)(73, 180)(74, 190)(75, 220)(76, 223)(77, 219)(78, 225)(79, 224)(80, 227)(81, 226)(82, 214)(83, 212)(84, 229)(85, 230)(86, 209)(87, 232)(88, 208)(89, 234)(90, 233)(91, 236)(92, 235)(93, 203)(94, 201)(95, 238)(96, 239)(97, 202)(98, 205)(99, 204)(100, 207)(101, 206)(102, 237)(103, 210)(104, 211)(105, 240)(106, 213)(107, 216)(108, 215)(109, 218)(110, 217)(111, 228)(112, 221)(113, 222)(114, 231)(115, 250)(116, 248)(117, 247)(118, 251)(119, 246)(120, 245)(121, 243)(122, 242)(123, 252)(124, 241)(125, 244)(126, 249)
	local type(s) :: { ( 2, 63, 2, 63, 2, 63, 2, 63, 2, 63, 2, 63, 2, 63, 2, 63, 2, 63, 2, 63, 2, 63, 2, 63, 2, 63, 2, 63, 2, 63, 2, 63, 2, 63, 2, 63 ) }
Outer automorphisms :: reflexible
Dual of E28.2548
Transitivity :: ET+ VT+ AT
Graph::
	v = 7 e = 126 f = 65
	degree seq :: [ 36^7 ]

E28.2550 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 18, 63})
Quotient :: loop
Aut^+ = C9 x D14 (small group id <126, 4>)
Aut   = D14 x D18 (small group id <252, 8>)
|r| :: 2
Presentation :: [ F^2, (T1 * T2)^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1^-3 * T2^-1 * T1, T1^3 * T2 * T1^-1 * T2, T2^-2 * T1^2 * T2^-5, T1^-2 * T2^-3 * T1 * T2^-1 * T1^-1 * T2^2, (T2^-1 * T1 * T2^-1)^6 ]
Map::
	R = (1, 127, 3, 129, 10, 136, 25, 151, 48, 174, 38, 164, 18, 144, 6, 132, 17, 143, 36, 162, 64, 190, 91, 217, 89, 215, 61, 187, 34, 160, 21, 147, 42, 168, 70, 196, 95, 221, 113, 239, 109, 235, 86, 212, 62, 188, 43, 169, 71, 197, 96, 222, 114, 240, 124, 250, 122, 248, 110, 236, 90, 216, 72, 198, 82, 208, 104, 230, 119, 245, 126, 252, 123, 249, 112, 238, 94, 220, 69, 195, 55, 181, 81, 207, 103, 229, 118, 244, 111, 237, 93, 219, 67, 193, 41, 167, 30, 156, 53, 179, 79, 205, 101, 227, 92, 218, 66, 192, 39, 165, 20, 146, 13, 139, 28, 154, 51, 177, 59, 185, 33, 159, 15, 141, 5, 131)(2, 128, 7, 133, 19, 145, 40, 166, 68, 194, 63, 189, 35, 161, 16, 142, 14, 140, 31, 157, 56, 182, 83, 209, 105, 231, 87, 213, 60, 186, 37, 163, 32, 158, 57, 183, 84, 210, 106, 232, 120, 246, 108, 234, 88, 214, 65, 191, 58, 184, 85, 211, 107, 233, 121, 247, 125, 251, 116, 242, 99, 225, 76, 202, 49, 175, 77, 203, 100, 226, 117, 243, 115, 241, 98, 224, 75, 201, 47, 173, 26, 152, 50, 176, 78, 204, 102, 228, 97, 223, 74, 200, 46, 172, 24, 150, 11, 137, 27, 153, 52, 178, 80, 206, 73, 199, 45, 171, 23, 149, 9, 135, 4, 130, 12, 138, 29, 155, 54, 180, 44, 170, 22, 148, 8, 134)
	L = (1, 128)(2, 132)(3, 135)(4, 127)(5, 140)(6, 142)(7, 131)(8, 147)(9, 143)(10, 150)(11, 129)(12, 146)(13, 130)(14, 144)(15, 158)(16, 160)(17, 134)(18, 163)(19, 165)(20, 133)(21, 161)(22, 169)(23, 168)(24, 162)(25, 173)(26, 136)(27, 139)(28, 137)(29, 167)(30, 138)(31, 141)(32, 164)(33, 184)(34, 186)(35, 188)(36, 149)(37, 187)(38, 191)(39, 157)(40, 193)(41, 145)(42, 148)(43, 189)(44, 198)(45, 197)(46, 196)(47, 190)(48, 202)(49, 151)(50, 154)(51, 152)(52, 156)(53, 153)(54, 195)(55, 155)(56, 192)(57, 159)(58, 174)(59, 175)(60, 212)(61, 214)(62, 213)(63, 216)(64, 172)(65, 215)(66, 183)(67, 182)(68, 220)(69, 166)(70, 171)(71, 170)(72, 194)(73, 208)(74, 222)(75, 221)(76, 217)(77, 177)(78, 179)(79, 176)(80, 181)(81, 178)(82, 180)(83, 219)(84, 218)(85, 185)(86, 234)(87, 236)(88, 235)(89, 225)(90, 231)(91, 201)(92, 211)(93, 210)(94, 209)(95, 200)(96, 199)(97, 230)(98, 240)(99, 239)(100, 205)(101, 203)(102, 207)(103, 204)(104, 206)(105, 238)(106, 237)(107, 227)(108, 248)(109, 242)(110, 246)(111, 233)(112, 232)(113, 224)(114, 223)(115, 245)(116, 250)(117, 229)(118, 226)(119, 228)(120, 249)(121, 244)(122, 251)(123, 247)(124, 241)(125, 252)(126, 243)
	local type(s) :: { ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.2546
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 126 f = 70
	degree seq :: [ 126^2 ]

E28.2551 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 18, 63})
Quotient :: loop
Aut^+ = C9 x D14 (small group id <126, 4>)
Aut   = D14 x D18 (small group id <252, 8>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1^-8 * T2 * T1^-1 * T2, T1^-2 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^2 * T2, T1^-3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^-3 * T2 ]
Map:: polytopal non-degenerate
	R = (1, 127, 3, 129)(2, 128, 6, 132)(4, 130, 9, 135)(5, 131, 12, 138)(7, 133, 16, 142)(8, 134, 17, 143)(10, 136, 21, 147)(11, 137, 24, 150)(13, 139, 28, 154)(14, 140, 29, 155)(15, 141, 32, 158)(18, 144, 35, 161)(19, 145, 33, 159)(20, 146, 34, 160)(22, 148, 41, 167)(23, 149, 44, 170)(25, 151, 48, 174)(26, 152, 49, 175)(27, 153, 52, 178)(30, 156, 53, 179)(31, 157, 56, 182)(36, 162, 61, 187)(37, 163, 57, 183)(38, 164, 60, 186)(39, 165, 58, 184)(40, 166, 59, 185)(42, 168, 69, 195)(43, 169, 68, 194)(45, 171, 70, 196)(46, 172, 73, 199)(47, 173, 76, 202)(50, 176, 77, 203)(51, 177, 79, 205)(54, 180, 80, 206)(55, 181, 82, 208)(62, 188, 88, 214)(63, 189, 83, 209)(64, 190, 87, 213)(65, 191, 84, 210)(66, 192, 86, 212)(67, 193, 85, 211)(71, 197, 95, 221)(72, 198, 98, 224)(74, 200, 99, 225)(75, 201, 101, 227)(78, 204, 102, 228)(81, 207, 104, 230)(89, 215, 105, 231)(90, 216, 106, 232)(91, 217, 110, 236)(92, 218, 107, 233)(93, 219, 109, 235)(94, 220, 108, 234)(96, 222, 115, 241)(97, 223, 117, 243)(100, 226, 118, 244)(103, 229, 120, 246)(111, 237, 121, 247)(112, 238, 122, 248)(113, 239, 124, 250)(114, 240, 123, 249)(116, 242, 125, 251)(119, 245, 126, 252)
	L = (1, 128)(2, 131)(3, 133)(4, 127)(5, 137)(6, 139)(7, 141)(8, 129)(9, 145)(10, 130)(11, 149)(12, 151)(13, 153)(14, 132)(15, 157)(16, 154)(17, 155)(18, 134)(19, 163)(20, 135)(21, 165)(22, 136)(23, 169)(24, 171)(25, 173)(26, 138)(27, 177)(28, 174)(29, 175)(30, 140)(31, 181)(32, 178)(33, 142)(34, 143)(35, 179)(36, 144)(37, 189)(38, 146)(39, 191)(40, 147)(41, 193)(42, 148)(43, 185)(44, 195)(45, 198)(46, 150)(47, 201)(48, 196)(49, 199)(50, 152)(51, 188)(52, 202)(53, 203)(54, 156)(55, 190)(56, 205)(57, 158)(58, 159)(59, 160)(60, 161)(61, 206)(62, 162)(63, 215)(64, 164)(65, 216)(66, 166)(67, 218)(68, 167)(69, 220)(70, 168)(71, 170)(72, 223)(73, 221)(74, 172)(75, 207)(76, 224)(77, 225)(78, 176)(79, 227)(80, 228)(81, 180)(82, 214)(83, 182)(84, 183)(85, 184)(86, 186)(87, 187)(88, 230)(89, 217)(90, 237)(91, 192)(92, 238)(93, 194)(94, 240)(95, 235)(96, 197)(97, 229)(98, 234)(99, 241)(100, 200)(101, 243)(102, 244)(103, 204)(104, 246)(105, 208)(106, 209)(107, 210)(108, 211)(109, 212)(110, 213)(111, 239)(112, 242)(113, 219)(114, 245)(115, 250)(116, 222)(117, 249)(118, 251)(119, 226)(120, 252)(121, 231)(122, 232)(123, 233)(124, 236)(125, 247)(126, 248)
	local type(s) :: { ( 18, 63, 18, 63 ) }
Outer automorphisms :: reflexible
Dual of E28.2547
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 63 e = 126 f = 9
	degree seq :: [ 4^63 ]

E28.2552 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 18, 63})
Quotient :: dipole
Aut^+ = C9 x D14 (small group id <126, 4>)
Aut   = D14 x D18 (small group id <252, 8>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * R * Y2^-1)^2, Y2^2 * Y1 * Y2^-2 * Y1, Y2^-3 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, Y2^18, (Y3 * Y2^-1)^63 ]
Map::
	R = (1, 127, 2, 128)(3, 129, 7, 133)(4, 130, 9, 135)(5, 131, 11, 137)(6, 132, 13, 139)(8, 134, 12, 138)(10, 136, 14, 140)(15, 141, 25, 151)(16, 142, 27, 153)(17, 143, 26, 152)(18, 144, 29, 155)(19, 145, 30, 156)(20, 146, 32, 158)(21, 147, 34, 160)(22, 148, 33, 159)(23, 149, 36, 162)(24, 150, 37, 163)(28, 154, 35, 161)(31, 157, 38, 164)(39, 165, 55, 181)(40, 166, 57, 183)(41, 167, 56, 182)(42, 168, 59, 185)(43, 169, 58, 184)(44, 170, 61, 187)(45, 171, 62, 188)(46, 172, 63, 189)(47, 173, 65, 191)(48, 174, 67, 193)(49, 175, 66, 192)(50, 176, 69, 195)(51, 177, 68, 194)(52, 178, 71, 197)(53, 179, 72, 198)(54, 180, 73, 199)(60, 186, 70, 196)(64, 190, 74, 200)(75, 201, 94, 220)(76, 202, 97, 223)(77, 203, 93, 219)(78, 204, 99, 225)(79, 205, 98, 224)(80, 206, 101, 227)(81, 207, 100, 226)(82, 208, 88, 214)(83, 209, 86, 212)(84, 210, 103, 229)(85, 211, 104, 230)(87, 213, 106, 232)(89, 215, 108, 234)(90, 216, 107, 233)(91, 217, 110, 236)(92, 218, 109, 235)(95, 221, 112, 238)(96, 222, 113, 239)(102, 228, 111, 237)(105, 231, 114, 240)(115, 241, 124, 250)(116, 242, 122, 248)(117, 243, 121, 247)(118, 244, 125, 251)(119, 245, 120, 246)(123, 249, 126, 252)(253, 379, 255, 381, 260, 386, 269, 395, 280, 406, 295, 421, 312, 438, 333, 459, 354, 480, 370, 496, 357, 483, 337, 463, 316, 442, 298, 424, 283, 409, 271, 397, 262, 388, 256, 382)(254, 380, 257, 383, 264, 390, 274, 400, 287, 413, 303, 429, 322, 448, 344, 470, 363, 489, 375, 501, 366, 492, 348, 474, 326, 452, 306, 432, 290, 416, 276, 402, 266, 392, 258, 384)(259, 385, 267, 393, 278, 404, 293, 419, 310, 436, 331, 457, 352, 478, 369, 495, 377, 503, 371, 497, 356, 482, 336, 462, 315, 441, 297, 423, 282, 408, 270, 396, 261, 387, 268, 394)(263, 389, 272, 398, 285, 411, 301, 427, 320, 446, 342, 468, 361, 487, 374, 500, 378, 504, 376, 502, 365, 491, 347, 473, 325, 451, 305, 431, 289, 415, 275, 401, 265, 391, 273, 399)(277, 403, 291, 417, 308, 434, 329, 455, 350, 476, 362, 488, 373, 499, 360, 486, 372, 498, 358, 484, 355, 481, 335, 461, 314, 440, 296, 422, 281, 407, 294, 420, 279, 405, 292, 418)(284, 410, 299, 425, 318, 444, 340, 466, 359, 485, 353, 479, 368, 494, 351, 477, 367, 493, 349, 475, 364, 490, 346, 472, 324, 450, 304, 430, 288, 414, 302, 428, 286, 412, 300, 426)(307, 433, 327, 453, 345, 471, 323, 449, 343, 469, 321, 447, 341, 467, 319, 445, 339, 465, 317, 443, 338, 464, 334, 460, 313, 439, 332, 458, 311, 437, 330, 456, 309, 435, 328, 454)
	L = (1, 254)(2, 253)(3, 259)(4, 261)(5, 263)(6, 265)(7, 255)(8, 264)(9, 256)(10, 266)(11, 257)(12, 260)(13, 258)(14, 262)(15, 277)(16, 279)(17, 278)(18, 281)(19, 282)(20, 284)(21, 286)(22, 285)(23, 288)(24, 289)(25, 267)(26, 269)(27, 268)(28, 287)(29, 270)(30, 271)(31, 290)(32, 272)(33, 274)(34, 273)(35, 280)(36, 275)(37, 276)(38, 283)(39, 307)(40, 309)(41, 308)(42, 311)(43, 310)(44, 313)(45, 314)(46, 315)(47, 317)(48, 319)(49, 318)(50, 321)(51, 320)(52, 323)(53, 324)(54, 325)(55, 291)(56, 293)(57, 292)(58, 295)(59, 294)(60, 322)(61, 296)(62, 297)(63, 298)(64, 326)(65, 299)(66, 301)(67, 300)(68, 303)(69, 302)(70, 312)(71, 304)(72, 305)(73, 306)(74, 316)(75, 346)(76, 349)(77, 345)(78, 351)(79, 350)(80, 353)(81, 352)(82, 340)(83, 338)(84, 355)(85, 356)(86, 335)(87, 358)(88, 334)(89, 360)(90, 359)(91, 362)(92, 361)(93, 329)(94, 327)(95, 364)(96, 365)(97, 328)(98, 331)(99, 330)(100, 333)(101, 332)(102, 363)(103, 336)(104, 337)(105, 366)(106, 339)(107, 342)(108, 341)(109, 344)(110, 343)(111, 354)(112, 347)(113, 348)(114, 357)(115, 376)(116, 374)(117, 373)(118, 377)(119, 372)(120, 371)(121, 369)(122, 368)(123, 378)(124, 367)(125, 370)(126, 375)(127, 379)(128, 380)(129, 381)(130, 382)(131, 383)(132, 384)(133, 385)(134, 386)(135, 387)(136, 388)(137, 389)(138, 390)(139, 391)(140, 392)(141, 393)(142, 394)(143, 395)(144, 396)(145, 397)(146, 398)(147, 399)(148, 400)(149, 401)(150, 402)(151, 403)(152, 404)(153, 405)(154, 406)(155, 407)(156, 408)(157, 409)(158, 410)(159, 411)(160, 412)(161, 413)(162, 414)(163, 415)(164, 416)(165, 417)(166, 418)(167, 419)(168, 420)(169, 421)(170, 422)(171, 423)(172, 424)(173, 425)(174, 426)(175, 427)(176, 428)(177, 429)(178, 430)(179, 431)(180, 432)(181, 433)(182, 434)(183, 435)(184, 436)(185, 437)(186, 438)(187, 439)(188, 440)(189, 441)(190, 442)(191, 443)(192, 444)(193, 445)(194, 446)(195, 447)(196, 448)(197, 449)(198, 450)(199, 451)(200, 452)(201, 453)(202, 454)(203, 455)(204, 456)(205, 457)(206, 458)(207, 459)(208, 460)(209, 461)(210, 462)(211, 463)(212, 464)(213, 465)(214, 466)(215, 467)(216, 468)(217, 469)(218, 470)(219, 471)(220, 472)(221, 473)(222, 474)(223, 475)(224, 476)(225, 477)(226, 478)(227, 479)(228, 480)(229, 481)(230, 482)(231, 483)(232, 484)(233, 485)(234, 486)(235, 487)(236, 488)(237, 489)(238, 490)(239, 491)(240, 492)(241, 493)(242, 494)(243, 495)(244, 496)(245, 497)(246, 498)(247, 499)(248, 500)(249, 501)(250, 502)(251, 503)(252, 504)
	local type(s) :: { ( 2, 126, 2, 126 ), ( 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126 ) }
Outer automorphisms :: reflexible
Dual of E28.2555
Graph:: bipartite
	v = 70 e = 252 f = 128
	degree seq :: [ 4^63, 36^7 ]

E28.2553 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 18, 63})
Quotient :: dipole
Aut^+ = C9 x D14 (small group id <126, 4>)
Aut   = D14 x D18 (small group id <252, 8>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y1 * Y2)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, Y1^-3 * Y2^-1 * Y1 * Y2^-1, Y1^3 * Y2 * Y1^-1 * Y2, Y1^2 * Y2^-7, Y1^-2 * Y2^-3 * Y1 * Y2^-1 * Y1^-1 * Y2^2, (Y2^-1 * Y1 * Y2^-1)^6 ]
Map::
	R = (1, 127, 2, 128, 6, 132, 16, 142, 34, 160, 60, 186, 86, 212, 108, 234, 122, 248, 125, 251, 126, 252, 117, 243, 103, 229, 78, 204, 53, 179, 27, 153, 13, 139, 4, 130)(3, 129, 9, 135, 17, 143, 8, 134, 21, 147, 35, 161, 62, 188, 87, 213, 110, 236, 120, 246, 123, 249, 121, 247, 118, 244, 100, 226, 79, 205, 50, 176, 28, 154, 11, 137)(5, 131, 14, 140, 18, 144, 37, 163, 61, 187, 88, 214, 109, 235, 116, 242, 124, 250, 115, 241, 119, 245, 102, 228, 81, 207, 52, 178, 30, 156, 12, 138, 20, 146, 7, 133)(10, 136, 24, 150, 36, 162, 23, 149, 42, 168, 22, 148, 43, 169, 63, 189, 90, 216, 105, 231, 112, 238, 106, 232, 111, 237, 107, 233, 101, 227, 77, 203, 51, 177, 26, 152)(15, 141, 32, 158, 38, 164, 65, 191, 89, 215, 99, 225, 113, 239, 98, 224, 114, 240, 97, 223, 104, 230, 80, 206, 55, 181, 29, 155, 41, 167, 19, 145, 39, 165, 31, 157)(25, 151, 47, 173, 64, 190, 46, 172, 70, 196, 45, 171, 71, 197, 44, 170, 72, 198, 68, 194, 94, 220, 83, 209, 93, 219, 84, 210, 92, 218, 85, 211, 59, 185, 49, 175)(33, 159, 58, 184, 48, 174, 76, 202, 91, 217, 75, 201, 95, 221, 74, 200, 96, 222, 73, 199, 82, 208, 54, 180, 69, 195, 40, 166, 67, 193, 56, 182, 66, 192, 57, 183)(253, 379, 255, 381, 262, 388, 277, 403, 300, 426, 290, 416, 270, 396, 258, 384, 269, 395, 288, 414, 316, 442, 343, 469, 341, 467, 313, 439, 286, 412, 273, 399, 294, 420, 322, 448, 347, 473, 365, 491, 361, 487, 338, 464, 314, 440, 295, 421, 323, 449, 348, 474, 366, 492, 376, 502, 374, 500, 362, 488, 342, 468, 324, 450, 334, 460, 356, 482, 371, 497, 378, 504, 375, 501, 364, 490, 346, 472, 321, 447, 307, 433, 333, 459, 355, 481, 370, 496, 363, 489, 345, 471, 319, 445, 293, 419, 282, 408, 305, 431, 331, 457, 353, 479, 344, 470, 318, 444, 291, 417, 272, 398, 265, 391, 280, 406, 303, 429, 311, 437, 285, 411, 267, 393, 257, 383)(254, 380, 259, 385, 271, 397, 292, 418, 320, 446, 315, 441, 287, 413, 268, 394, 266, 392, 283, 409, 308, 434, 335, 461, 357, 483, 339, 465, 312, 438, 289, 415, 284, 410, 309, 435, 336, 462, 358, 484, 372, 498, 360, 486, 340, 466, 317, 443, 310, 436, 337, 463, 359, 485, 373, 499, 377, 503, 368, 494, 351, 477, 328, 454, 301, 427, 329, 455, 352, 478, 369, 495, 367, 493, 350, 476, 327, 453, 299, 425, 278, 404, 302, 428, 330, 456, 354, 480, 349, 475, 326, 452, 298, 424, 276, 402, 263, 389, 279, 405, 304, 430, 332, 458, 325, 451, 297, 423, 275, 401, 261, 387, 256, 382, 264, 390, 281, 407, 306, 432, 296, 422, 274, 400, 260, 386)
	L = (1, 255)(2, 259)(3, 262)(4, 264)(5, 253)(6, 269)(7, 271)(8, 254)(9, 256)(10, 277)(11, 279)(12, 281)(13, 280)(14, 283)(15, 257)(16, 266)(17, 288)(18, 258)(19, 292)(20, 265)(21, 294)(22, 260)(23, 261)(24, 263)(25, 300)(26, 302)(27, 304)(28, 303)(29, 306)(30, 305)(31, 308)(32, 309)(33, 267)(34, 273)(35, 268)(36, 316)(37, 284)(38, 270)(39, 272)(40, 320)(41, 282)(42, 322)(43, 323)(44, 274)(45, 275)(46, 276)(47, 278)(48, 290)(49, 329)(50, 330)(51, 311)(52, 332)(53, 331)(54, 296)(55, 333)(56, 335)(57, 336)(58, 337)(59, 285)(60, 289)(61, 286)(62, 295)(63, 287)(64, 343)(65, 310)(66, 291)(67, 293)(68, 315)(69, 307)(70, 347)(71, 348)(72, 334)(73, 297)(74, 298)(75, 299)(76, 301)(77, 352)(78, 354)(79, 353)(80, 325)(81, 355)(82, 356)(83, 357)(84, 358)(85, 359)(86, 314)(87, 312)(88, 317)(89, 313)(90, 324)(91, 341)(92, 318)(93, 319)(94, 321)(95, 365)(96, 366)(97, 326)(98, 327)(99, 328)(100, 369)(101, 344)(102, 349)(103, 370)(104, 371)(105, 339)(106, 372)(107, 373)(108, 340)(109, 338)(110, 342)(111, 345)(112, 346)(113, 361)(114, 376)(115, 350)(116, 351)(117, 367)(118, 363)(119, 378)(120, 360)(121, 377)(122, 362)(123, 364)(124, 374)(125, 368)(126, 375)(127, 379)(128, 380)(129, 381)(130, 382)(131, 383)(132, 384)(133, 385)(134, 386)(135, 387)(136, 388)(137, 389)(138, 390)(139, 391)(140, 392)(141, 393)(142, 394)(143, 395)(144, 396)(145, 397)(146, 398)(147, 399)(148, 400)(149, 401)(150, 402)(151, 403)(152, 404)(153, 405)(154, 406)(155, 407)(156, 408)(157, 409)(158, 410)(159, 411)(160, 412)(161, 413)(162, 414)(163, 415)(164, 416)(165, 417)(166, 418)(167, 419)(168, 420)(169, 421)(170, 422)(171, 423)(172, 424)(173, 425)(174, 426)(175, 427)(176, 428)(177, 429)(178, 430)(179, 431)(180, 432)(181, 433)(182, 434)(183, 435)(184, 436)(185, 437)(186, 438)(187, 439)(188, 440)(189, 441)(190, 442)(191, 443)(192, 444)(193, 445)(194, 446)(195, 447)(196, 448)(197, 449)(198, 450)(199, 451)(200, 452)(201, 453)(202, 454)(203, 455)(204, 456)(205, 457)(206, 458)(207, 459)(208, 460)(209, 461)(210, 462)(211, 463)(212, 464)(213, 465)(214, 466)(215, 467)(216, 468)(217, 469)(218, 470)(219, 471)(220, 472)(221, 473)(222, 474)(223, 475)(224, 476)(225, 477)(226, 478)(227, 479)(228, 480)(229, 481)(230, 482)(231, 483)(232, 484)(233, 485)(234, 486)(235, 487)(236, 488)(237, 489)(238, 490)(239, 491)(240, 492)(241, 493)(242, 494)(243, 495)(244, 496)(245, 497)(246, 498)(247, 499)(248, 500)(249, 501)(250, 502)(251, 503)(252, 504)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.2554
Graph:: bipartite
	v = 9 e = 252 f = 189
	degree seq :: [ 36^7, 126^2 ]

E28.2554 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 18, 63})
Quotient :: dipole
Aut^+ = C9 x D14 (small group id <126, 4>)
Aut   = D14 x D18 (small group id <252, 8>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2, Y3^-7 * Y2 * Y3^-1 * Y2 * Y3^-1, Y3^-2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^-2 * Y2, Y3^3 * Y2 * Y3^-3 * Y2 * Y3^-3 * Y2 * Y3^3 * Y2, (Y3^-1 * Y1^-1)^63 ]
Map:: polytopal
	R = (1, 127)(2, 128)(3, 129)(4, 130)(5, 131)(6, 132)(7, 133)(8, 134)(9, 135)(10, 136)(11, 137)(12, 138)(13, 139)(14, 140)(15, 141)(16, 142)(17, 143)(18, 144)(19, 145)(20, 146)(21, 147)(22, 148)(23, 149)(24, 150)(25, 151)(26, 152)(27, 153)(28, 154)(29, 155)(30, 156)(31, 157)(32, 158)(33, 159)(34, 160)(35, 161)(36, 162)(37, 163)(38, 164)(39, 165)(40, 166)(41, 167)(42, 168)(43, 169)(44, 170)(45, 171)(46, 172)(47, 173)(48, 174)(49, 175)(50, 176)(51, 177)(52, 178)(53, 179)(54, 180)(55, 181)(56, 182)(57, 183)(58, 184)(59, 185)(60, 186)(61, 187)(62, 188)(63, 189)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)(253, 379, 254, 380)(255, 381, 259, 385)(256, 382, 261, 387)(257, 383, 263, 389)(258, 384, 265, 391)(260, 386, 269, 395)(262, 388, 273, 399)(264, 390, 277, 403)(266, 392, 281, 407)(267, 393, 275, 401)(268, 394, 279, 405)(270, 396, 287, 413)(271, 397, 276, 402)(272, 398, 280, 406)(274, 400, 293, 419)(278, 404, 299, 425)(282, 408, 305, 431)(283, 409, 297, 423)(284, 410, 303, 429)(285, 411, 295, 421)(286, 412, 301, 427)(288, 414, 313, 439)(289, 415, 298, 424)(290, 416, 304, 430)(291, 417, 296, 422)(292, 418, 302, 428)(294, 420, 321, 447)(300, 426, 328, 454)(306, 432, 334, 460)(307, 433, 326, 452)(308, 434, 332, 458)(309, 435, 324, 450)(310, 436, 330, 456)(311, 437, 322, 448)(312, 438, 329, 455)(314, 440, 320, 446)(315, 441, 327, 453)(316, 442, 333, 459)(317, 443, 325, 451)(318, 444, 331, 457)(319, 445, 323, 449)(335, 461, 358, 484)(336, 462, 350, 476)(337, 463, 356, 482)(338, 464, 348, 474)(339, 465, 354, 480)(340, 466, 353, 479)(341, 467, 352, 478)(342, 468, 351, 477)(343, 469, 357, 483)(344, 470, 349, 475)(345, 471, 355, 481)(346, 472, 347, 473)(359, 485, 374, 500)(360, 486, 368, 494)(361, 487, 372, 498)(362, 488, 371, 497)(363, 489, 370, 496)(364, 490, 369, 495)(365, 491, 373, 499)(366, 492, 367, 493)(375, 501, 377, 503)(376, 502, 378, 504)
	L = (1, 255)(2, 257)(3, 260)(4, 253)(5, 264)(6, 254)(7, 267)(8, 270)(9, 271)(10, 256)(11, 275)(12, 278)(13, 279)(14, 258)(15, 283)(16, 259)(17, 285)(18, 288)(19, 289)(20, 261)(21, 291)(22, 262)(23, 295)(24, 263)(25, 297)(26, 300)(27, 301)(28, 265)(29, 303)(30, 266)(31, 307)(32, 268)(33, 309)(34, 269)(35, 311)(36, 314)(37, 315)(38, 272)(39, 317)(40, 273)(41, 319)(42, 274)(43, 322)(44, 276)(45, 324)(46, 277)(47, 326)(48, 316)(49, 329)(50, 280)(51, 330)(52, 281)(53, 332)(54, 282)(55, 306)(56, 284)(57, 336)(58, 286)(59, 338)(60, 287)(61, 321)(62, 302)(63, 341)(64, 290)(65, 342)(66, 292)(67, 344)(68, 293)(69, 346)(70, 294)(71, 296)(72, 348)(73, 298)(74, 350)(75, 299)(76, 334)(77, 353)(78, 354)(79, 304)(80, 356)(81, 305)(82, 358)(83, 308)(84, 335)(85, 310)(86, 360)(87, 312)(88, 313)(89, 343)(90, 363)(91, 318)(92, 364)(93, 320)(94, 366)(95, 323)(96, 347)(97, 325)(98, 368)(99, 327)(100, 328)(101, 355)(102, 371)(103, 331)(104, 372)(105, 333)(106, 374)(107, 337)(108, 359)(109, 339)(110, 340)(111, 365)(112, 376)(113, 345)(114, 375)(115, 349)(116, 367)(117, 351)(118, 352)(119, 373)(120, 378)(121, 357)(122, 377)(123, 361)(124, 362)(125, 369)(126, 370)(127, 379)(128, 380)(129, 381)(130, 382)(131, 383)(132, 384)(133, 385)(134, 386)(135, 387)(136, 388)(137, 389)(138, 390)(139, 391)(140, 392)(141, 393)(142, 394)(143, 395)(144, 396)(145, 397)(146, 398)(147, 399)(148, 400)(149, 401)(150, 402)(151, 403)(152, 404)(153, 405)(154, 406)(155, 407)(156, 408)(157, 409)(158, 410)(159, 411)(160, 412)(161, 413)(162, 414)(163, 415)(164, 416)(165, 417)(166, 418)(167, 419)(168, 420)(169, 421)(170, 422)(171, 423)(172, 424)(173, 425)(174, 426)(175, 427)(176, 428)(177, 429)(178, 430)(179, 431)(180, 432)(181, 433)(182, 434)(183, 435)(184, 436)(185, 437)(186, 438)(187, 439)(188, 440)(189, 441)(190, 442)(191, 443)(192, 444)(193, 445)(194, 446)(195, 447)(196, 448)(197, 449)(198, 450)(199, 451)(200, 452)(201, 453)(202, 454)(203, 455)(204, 456)(205, 457)(206, 458)(207, 459)(208, 460)(209, 461)(210, 462)(211, 463)(212, 464)(213, 465)(214, 466)(215, 467)(216, 468)(217, 469)(218, 470)(219, 471)(220, 472)(221, 473)(222, 474)(223, 475)(224, 476)(225, 477)(226, 478)(227, 479)(228, 480)(229, 481)(230, 482)(231, 483)(232, 484)(233, 485)(234, 486)(235, 487)(236, 488)(237, 489)(238, 490)(239, 491)(240, 492)(241, 493)(242, 494)(243, 495)(244, 496)(245, 497)(246, 498)(247, 499)(248, 500)(249, 501)(250, 502)(251, 503)(252, 504)
	local type(s) :: { ( 36, 126 ), ( 36, 126, 36, 126 ) }
Outer automorphisms :: reflexible
Dual of E28.2553
Graph:: simple bipartite
	v = 189 e = 252 f = 9
	degree seq :: [ 2^126, 4^63 ]

E28.2555 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 18, 63})
Quotient :: dipole
Aut^+ = C9 x D14 (small group id <126, 4>)
Aut   = D14 x D18 (small group id <252, 8>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y1^3 * Y3 * Y1 * Y3 * Y1^5, Y1^-2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^-2 * Y3, Y1^-3 * Y3 * Y1^-3 * Y3 * Y1^3 * Y3 * Y1^3 * Y3 ]
Map::
	R = (1, 127, 2, 128, 5, 131, 11, 137, 23, 149, 43, 169, 59, 185, 34, 160, 17, 143, 29, 155, 49, 175, 73, 199, 95, 221, 109, 235, 86, 212, 60, 186, 35, 161, 53, 179, 77, 203, 99, 225, 115, 241, 124, 250, 110, 236, 87, 213, 61, 187, 80, 206, 102, 228, 118, 244, 125, 251, 121, 247, 105, 231, 82, 208, 88, 214, 104, 230, 120, 246, 126, 252, 122, 248, 106, 232, 83, 209, 56, 182, 79, 205, 101, 227, 117, 243, 123, 249, 107, 233, 84, 210, 57, 183, 32, 158, 52, 178, 76, 202, 98, 224, 108, 234, 85, 211, 58, 184, 33, 159, 16, 142, 28, 154, 48, 174, 70, 196, 42, 168, 22, 148, 10, 136, 4, 130)(3, 129, 7, 133, 15, 141, 31, 157, 55, 181, 64, 190, 38, 164, 20, 146, 9, 135, 19, 145, 37, 163, 63, 189, 89, 215, 91, 217, 66, 192, 40, 166, 21, 147, 39, 165, 65, 191, 90, 216, 111, 237, 113, 239, 93, 219, 68, 194, 41, 167, 67, 193, 92, 218, 112, 238, 116, 242, 96, 222, 71, 197, 44, 170, 69, 195, 94, 220, 114, 240, 119, 245, 100, 226, 74, 200, 46, 172, 24, 150, 45, 171, 72, 198, 97, 223, 103, 229, 78, 204, 50, 176, 26, 152, 12, 138, 25, 151, 47, 173, 75, 201, 81, 207, 54, 180, 30, 156, 14, 140, 6, 132, 13, 139, 27, 153, 51, 177, 62, 188, 36, 162, 18, 144, 8, 134)(253, 379)(254, 380)(255, 381)(256, 382)(257, 383)(258, 384)(259, 385)(260, 386)(261, 387)(262, 388)(263, 389)(264, 390)(265, 391)(266, 392)(267, 393)(268, 394)(269, 395)(270, 396)(271, 397)(272, 398)(273, 399)(274, 400)(275, 401)(276, 402)(277, 403)(278, 404)(279, 405)(280, 406)(281, 407)(282, 408)(283, 409)(284, 410)(285, 411)(286, 412)(287, 413)(288, 414)(289, 415)(290, 416)(291, 417)(292, 418)(293, 419)(294, 420)(295, 421)(296, 422)(297, 423)(298, 424)(299, 425)(300, 426)(301, 427)(302, 428)(303, 429)(304, 430)(305, 431)(306, 432)(307, 433)(308, 434)(309, 435)(310, 436)(311, 437)(312, 438)(313, 439)(314, 440)(315, 441)(316, 442)(317, 443)(318, 444)(319, 445)(320, 446)(321, 447)(322, 448)(323, 449)(324, 450)(325, 451)(326, 452)(327, 453)(328, 454)(329, 455)(330, 456)(331, 457)(332, 458)(333, 459)(334, 460)(335, 461)(336, 462)(337, 463)(338, 464)(339, 465)(340, 466)(341, 467)(342, 468)(343, 469)(344, 470)(345, 471)(346, 472)(347, 473)(348, 474)(349, 475)(350, 476)(351, 477)(352, 478)(353, 479)(354, 480)(355, 481)(356, 482)(357, 483)(358, 484)(359, 485)(360, 486)(361, 487)(362, 488)(363, 489)(364, 490)(365, 491)(366, 492)(367, 493)(368, 494)(369, 495)(370, 496)(371, 497)(372, 498)(373, 499)(374, 500)(375, 501)(376, 502)(377, 503)(378, 504)
	L = (1, 255)(2, 258)(3, 253)(4, 261)(5, 264)(6, 254)(7, 268)(8, 269)(9, 256)(10, 273)(11, 276)(12, 257)(13, 280)(14, 281)(15, 284)(16, 259)(17, 260)(18, 287)(19, 285)(20, 286)(21, 262)(22, 293)(23, 296)(24, 263)(25, 300)(26, 301)(27, 304)(28, 265)(29, 266)(30, 305)(31, 308)(32, 267)(33, 271)(34, 272)(35, 270)(36, 313)(37, 309)(38, 312)(39, 310)(40, 311)(41, 274)(42, 321)(43, 320)(44, 275)(45, 322)(46, 325)(47, 328)(48, 277)(49, 278)(50, 329)(51, 331)(52, 279)(53, 282)(54, 332)(55, 334)(56, 283)(57, 289)(58, 291)(59, 292)(60, 290)(61, 288)(62, 340)(63, 335)(64, 339)(65, 336)(66, 338)(67, 337)(68, 295)(69, 294)(70, 297)(71, 347)(72, 350)(73, 298)(74, 351)(75, 353)(76, 299)(77, 302)(78, 354)(79, 303)(80, 306)(81, 356)(82, 307)(83, 315)(84, 317)(85, 319)(86, 318)(87, 316)(88, 314)(89, 357)(90, 358)(91, 362)(92, 359)(93, 361)(94, 360)(95, 323)(96, 367)(97, 369)(98, 324)(99, 326)(100, 370)(101, 327)(102, 330)(103, 372)(104, 333)(105, 341)(106, 342)(107, 344)(108, 346)(109, 345)(110, 343)(111, 373)(112, 374)(113, 376)(114, 375)(115, 348)(116, 377)(117, 349)(118, 352)(119, 378)(120, 355)(121, 363)(122, 364)(123, 366)(124, 365)(125, 368)(126, 371)(127, 379)(128, 380)(129, 381)(130, 382)(131, 383)(132, 384)(133, 385)(134, 386)(135, 387)(136, 388)(137, 389)(138, 390)(139, 391)(140, 392)(141, 393)(142, 394)(143, 395)(144, 396)(145, 397)(146, 398)(147, 399)(148, 400)(149, 401)(150, 402)(151, 403)(152, 404)(153, 405)(154, 406)(155, 407)(156, 408)(157, 409)(158, 410)(159, 411)(160, 412)(161, 413)(162, 414)(163, 415)(164, 416)(165, 417)(166, 418)(167, 419)(168, 420)(169, 421)(170, 422)(171, 423)(172, 424)(173, 425)(174, 426)(175, 427)(176, 428)(177, 429)(178, 430)(179, 431)(180, 432)(181, 433)(182, 434)(183, 435)(184, 436)(185, 437)(186, 438)(187, 439)(188, 440)(189, 441)(190, 442)(191, 443)(192, 444)(193, 445)(194, 446)(195, 447)(196, 448)(197, 449)(198, 450)(199, 451)(200, 452)(201, 453)(202, 454)(203, 455)(204, 456)(205, 457)(206, 458)(207, 459)(208, 460)(209, 461)(210, 462)(211, 463)(212, 464)(213, 465)(214, 466)(215, 467)(216, 468)(217, 469)(218, 470)(219, 471)(220, 472)(221, 473)(222, 474)(223, 475)(224, 476)(225, 477)(226, 478)(227, 479)(228, 480)(229, 481)(230, 482)(231, 483)(232, 484)(233, 485)(234, 486)(235, 487)(236, 488)(237, 489)(238, 490)(239, 491)(240, 492)(241, 493)(242, 494)(243, 495)(244, 496)(245, 497)(246, 498)(247, 499)(248, 500)(249, 501)(250, 502)(251, 503)(252, 504)
	local type(s) :: { ( 4, 36 ), ( 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.2552
Graph:: simple bipartite
	v = 128 e = 252 f = 70
	degree seq :: [ 2^126, 126^2 ]

E28.2556 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 18, 63})
Quotient :: dipole
Aut^+ = C9 x D14 (small group id <126, 4>)
Aut   = D14 x D18 (small group id <252, 8>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y1 * R * Y2)^2, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1, Y2^-7 * Y1 * Y2^-1 * Y1 * Y2^-1, Y2^-2 * Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1, Y2^3 * Y1 * Y2^-3 * Y1 * Y2^-3 * Y1 * Y2^3 * Y1, (Y3 * Y2^-1)^18 ]
Map::
	R = (1, 127, 2, 128)(3, 129, 7, 133)(4, 130, 9, 135)(5, 131, 11, 137)(6, 132, 13, 139)(8, 134, 17, 143)(10, 136, 21, 147)(12, 138, 25, 151)(14, 140, 29, 155)(15, 141, 23, 149)(16, 142, 27, 153)(18, 144, 35, 161)(19, 145, 24, 150)(20, 146, 28, 154)(22, 148, 41, 167)(26, 152, 47, 173)(30, 156, 53, 179)(31, 157, 45, 171)(32, 158, 51, 177)(33, 159, 43, 169)(34, 160, 49, 175)(36, 162, 61, 187)(37, 163, 46, 172)(38, 164, 52, 178)(39, 165, 44, 170)(40, 166, 50, 176)(42, 168, 69, 195)(48, 174, 76, 202)(54, 180, 82, 208)(55, 181, 74, 200)(56, 182, 80, 206)(57, 183, 72, 198)(58, 184, 78, 204)(59, 185, 70, 196)(60, 186, 77, 203)(62, 188, 68, 194)(63, 189, 75, 201)(64, 190, 81, 207)(65, 191, 73, 199)(66, 192, 79, 205)(67, 193, 71, 197)(83, 209, 106, 232)(84, 210, 98, 224)(85, 211, 104, 230)(86, 212, 96, 222)(87, 213, 102, 228)(88, 214, 101, 227)(89, 215, 100, 226)(90, 216, 99, 225)(91, 217, 105, 231)(92, 218, 97, 223)(93, 219, 103, 229)(94, 220, 95, 221)(107, 233, 122, 248)(108, 234, 116, 242)(109, 235, 120, 246)(110, 236, 119, 245)(111, 237, 118, 244)(112, 238, 117, 243)(113, 239, 121, 247)(114, 240, 115, 241)(123, 249, 125, 251)(124, 250, 126, 252)(253, 379, 255, 381, 260, 386, 270, 396, 288, 414, 314, 440, 302, 428, 280, 406, 265, 391, 279, 405, 301, 427, 329, 455, 353, 479, 355, 481, 331, 457, 304, 430, 281, 407, 303, 429, 330, 456, 354, 480, 371, 497, 373, 499, 357, 483, 333, 459, 305, 431, 332, 458, 356, 482, 372, 498, 378, 504, 370, 496, 352, 478, 328, 454, 334, 460, 358, 484, 374, 500, 377, 503, 369, 495, 351, 477, 327, 453, 299, 425, 326, 452, 350, 476, 368, 494, 367, 493, 349, 475, 325, 451, 298, 424, 277, 403, 297, 423, 324, 450, 348, 474, 347, 473, 323, 449, 296, 422, 276, 402, 263, 389, 275, 401, 295, 421, 322, 448, 294, 420, 274, 400, 262, 388, 256, 382)(254, 380, 257, 383, 264, 390, 278, 404, 300, 426, 316, 442, 290, 416, 272, 398, 261, 387, 271, 397, 289, 415, 315, 441, 341, 467, 343, 469, 318, 444, 292, 418, 273, 399, 291, 417, 317, 443, 342, 468, 363, 489, 365, 491, 345, 471, 320, 446, 293, 419, 319, 445, 344, 470, 364, 490, 376, 502, 362, 488, 340, 466, 313, 439, 321, 447, 346, 472, 366, 492, 375, 501, 361, 487, 339, 465, 312, 438, 287, 413, 311, 437, 338, 464, 360, 486, 359, 485, 337, 463, 310, 436, 286, 412, 269, 395, 285, 411, 309, 435, 336, 462, 335, 461, 308, 434, 284, 410, 268, 394, 259, 385, 267, 393, 283, 409, 307, 433, 306, 432, 282, 408, 266, 392, 258, 384)
	L = (1, 254)(2, 253)(3, 259)(4, 261)(5, 263)(6, 265)(7, 255)(8, 269)(9, 256)(10, 273)(11, 257)(12, 277)(13, 258)(14, 281)(15, 275)(16, 279)(17, 260)(18, 287)(19, 276)(20, 280)(21, 262)(22, 293)(23, 267)(24, 271)(25, 264)(26, 299)(27, 268)(28, 272)(29, 266)(30, 305)(31, 297)(32, 303)(33, 295)(34, 301)(35, 270)(36, 313)(37, 298)(38, 304)(39, 296)(40, 302)(41, 274)(42, 321)(43, 285)(44, 291)(45, 283)(46, 289)(47, 278)(48, 328)(49, 286)(50, 292)(51, 284)(52, 290)(53, 282)(54, 334)(55, 326)(56, 332)(57, 324)(58, 330)(59, 322)(60, 329)(61, 288)(62, 320)(63, 327)(64, 333)(65, 325)(66, 331)(67, 323)(68, 314)(69, 294)(70, 311)(71, 319)(72, 309)(73, 317)(74, 307)(75, 315)(76, 300)(77, 312)(78, 310)(79, 318)(80, 308)(81, 316)(82, 306)(83, 358)(84, 350)(85, 356)(86, 348)(87, 354)(88, 353)(89, 352)(90, 351)(91, 357)(92, 349)(93, 355)(94, 347)(95, 346)(96, 338)(97, 344)(98, 336)(99, 342)(100, 341)(101, 340)(102, 339)(103, 345)(104, 337)(105, 343)(106, 335)(107, 374)(108, 368)(109, 372)(110, 371)(111, 370)(112, 369)(113, 373)(114, 367)(115, 366)(116, 360)(117, 364)(118, 363)(119, 362)(120, 361)(121, 365)(122, 359)(123, 377)(124, 378)(125, 375)(126, 376)(127, 379)(128, 380)(129, 381)(130, 382)(131, 383)(132, 384)(133, 385)(134, 386)(135, 387)(136, 388)(137, 389)(138, 390)(139, 391)(140, 392)(141, 393)(142, 394)(143, 395)(144, 396)(145, 397)(146, 398)(147, 399)(148, 400)(149, 401)(150, 402)(151, 403)(152, 404)(153, 405)(154, 406)(155, 407)(156, 408)(157, 409)(158, 410)(159, 411)(160, 412)(161, 413)(162, 414)(163, 415)(164, 416)(165, 417)(166, 418)(167, 419)(168, 420)(169, 421)(170, 422)(171, 423)(172, 424)(173, 425)(174, 426)(175, 427)(176, 428)(177, 429)(178, 430)(179, 431)(180, 432)(181, 433)(182, 434)(183, 435)(184, 436)(185, 437)(186, 438)(187, 439)(188, 440)(189, 441)(190, 442)(191, 443)(192, 444)(193, 445)(194, 446)(195, 447)(196, 448)(197, 449)(198, 450)(199, 451)(200, 452)(201, 453)(202, 454)(203, 455)(204, 456)(205, 457)(206, 458)(207, 459)(208, 460)(209, 461)(210, 462)(211, 463)(212, 464)(213, 465)(214, 466)(215, 467)(216, 468)(217, 469)(218, 470)(219, 471)(220, 472)(221, 473)(222, 474)(223, 475)(224, 476)(225, 477)(226, 478)(227, 479)(228, 480)(229, 481)(230, 482)(231, 483)(232, 484)(233, 485)(234, 486)(235, 487)(236, 488)(237, 489)(238, 490)(239, 491)(240, 492)(241, 493)(242, 494)(243, 495)(244, 496)(245, 497)(246, 498)(247, 499)(248, 500)(249, 501)(250, 502)(251, 503)(252, 504)
	local type(s) :: { ( 2, 36, 2, 36 ), ( 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.2557
Graph:: bipartite
	v = 65 e = 252 f = 133
	degree seq :: [ 4^63, 126^2 ]

E28.2557 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 18, 63})
Quotient :: dipole
Aut^+ = C9 x D14 (small group id <126, 4>)
Aut   = D14 x D18 (small group id <252, 8>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y1^-3 * Y3^-1 * Y1, Y1^3 * Y3 * Y1^-1 * Y3, (R * Y2 * Y3^-1)^2, Y1^2 * Y3^-7, Y1^-2 * Y3^-3 * Y1 * Y3^-1 * Y1^-1 * Y3^2, (Y3^-1 * Y1 * Y3^-1)^6, (Y3 * Y2^-1)^63 ]
Map::
	R = (1, 127, 2, 128, 6, 132, 16, 142, 34, 160, 60, 186, 86, 212, 108, 234, 122, 248, 125, 251, 126, 252, 117, 243, 103, 229, 78, 204, 53, 179, 27, 153, 13, 139, 4, 130)(3, 129, 9, 135, 17, 143, 8, 134, 21, 147, 35, 161, 62, 188, 87, 213, 110, 236, 120, 246, 123, 249, 121, 247, 118, 244, 100, 226, 79, 205, 50, 176, 28, 154, 11, 137)(5, 131, 14, 140, 18, 144, 37, 163, 61, 187, 88, 214, 109, 235, 116, 242, 124, 250, 115, 241, 119, 245, 102, 228, 81, 207, 52, 178, 30, 156, 12, 138, 20, 146, 7, 133)(10, 136, 24, 150, 36, 162, 23, 149, 42, 168, 22, 148, 43, 169, 63, 189, 90, 216, 105, 231, 112, 238, 106, 232, 111, 237, 107, 233, 101, 227, 77, 203, 51, 177, 26, 152)(15, 141, 32, 158, 38, 164, 65, 191, 89, 215, 99, 225, 113, 239, 98, 224, 114, 240, 97, 223, 104, 230, 80, 206, 55, 181, 29, 155, 41, 167, 19, 145, 39, 165, 31, 157)(25, 151, 47, 173, 64, 190, 46, 172, 70, 196, 45, 171, 71, 197, 44, 170, 72, 198, 68, 194, 94, 220, 83, 209, 93, 219, 84, 210, 92, 218, 85, 211, 59, 185, 49, 175)(33, 159, 58, 184, 48, 174, 76, 202, 91, 217, 75, 201, 95, 221, 74, 200, 96, 222, 73, 199, 82, 208, 54, 180, 69, 195, 40, 166, 67, 193, 56, 182, 66, 192, 57, 183)(253, 379)(254, 380)(255, 381)(256, 382)(257, 383)(258, 384)(259, 385)(260, 386)(261, 387)(262, 388)(263, 389)(264, 390)(265, 391)(266, 392)(267, 393)(268, 394)(269, 395)(270, 396)(271, 397)(272, 398)(273, 399)(274, 400)(275, 401)(276, 402)(277, 403)(278, 404)(279, 405)(280, 406)(281, 407)(282, 408)(283, 409)(284, 410)(285, 411)(286, 412)(287, 413)(288, 414)(289, 415)(290, 416)(291, 417)(292, 418)(293, 419)(294, 420)(295, 421)(296, 422)(297, 423)(298, 424)(299, 425)(300, 426)(301, 427)(302, 428)(303, 429)(304, 430)(305, 431)(306, 432)(307, 433)(308, 434)(309, 435)(310, 436)(311, 437)(312, 438)(313, 439)(314, 440)(315, 441)(316, 442)(317, 443)(318, 444)(319, 445)(320, 446)(321, 447)(322, 448)(323, 449)(324, 450)(325, 451)(326, 452)(327, 453)(328, 454)(329, 455)(330, 456)(331, 457)(332, 458)(333, 459)(334, 460)(335, 461)(336, 462)(337, 463)(338, 464)(339, 465)(340, 466)(341, 467)(342, 468)(343, 469)(344, 470)(345, 471)(346, 472)(347, 473)(348, 474)(349, 475)(350, 476)(351, 477)(352, 478)(353, 479)(354, 480)(355, 481)(356, 482)(357, 483)(358, 484)(359, 485)(360, 486)(361, 487)(362, 488)(363, 489)(364, 490)(365, 491)(366, 492)(367, 493)(368, 494)(369, 495)(370, 496)(371, 497)(372, 498)(373, 499)(374, 500)(375, 501)(376, 502)(377, 503)(378, 504)
	L = (1, 255)(2, 259)(3, 262)(4, 264)(5, 253)(6, 269)(7, 271)(8, 254)(9, 256)(10, 277)(11, 279)(12, 281)(13, 280)(14, 283)(15, 257)(16, 266)(17, 288)(18, 258)(19, 292)(20, 265)(21, 294)(22, 260)(23, 261)(24, 263)(25, 300)(26, 302)(27, 304)(28, 303)(29, 306)(30, 305)(31, 308)(32, 309)(33, 267)(34, 273)(35, 268)(36, 316)(37, 284)(38, 270)(39, 272)(40, 320)(41, 282)(42, 322)(43, 323)(44, 274)(45, 275)(46, 276)(47, 278)(48, 290)(49, 329)(50, 330)(51, 311)(52, 332)(53, 331)(54, 296)(55, 333)(56, 335)(57, 336)(58, 337)(59, 285)(60, 289)(61, 286)(62, 295)(63, 287)(64, 343)(65, 310)(66, 291)(67, 293)(68, 315)(69, 307)(70, 347)(71, 348)(72, 334)(73, 297)(74, 298)(75, 299)(76, 301)(77, 352)(78, 354)(79, 353)(80, 325)(81, 355)(82, 356)(83, 357)(84, 358)(85, 359)(86, 314)(87, 312)(88, 317)(89, 313)(90, 324)(91, 341)(92, 318)(93, 319)(94, 321)(95, 365)(96, 366)(97, 326)(98, 327)(99, 328)(100, 369)(101, 344)(102, 349)(103, 370)(104, 371)(105, 339)(106, 372)(107, 373)(108, 340)(109, 338)(110, 342)(111, 345)(112, 346)(113, 361)(114, 376)(115, 350)(116, 351)(117, 367)(118, 363)(119, 378)(120, 360)(121, 377)(122, 362)(123, 364)(124, 374)(125, 368)(126, 375)(127, 379)(128, 380)(129, 381)(130, 382)(131, 383)(132, 384)(133, 385)(134, 386)(135, 387)(136, 388)(137, 389)(138, 390)(139, 391)(140, 392)(141, 393)(142, 394)(143, 395)(144, 396)(145, 397)(146, 398)(147, 399)(148, 400)(149, 401)(150, 402)(151, 403)(152, 404)(153, 405)(154, 406)(155, 407)(156, 408)(157, 409)(158, 410)(159, 411)(160, 412)(161, 413)(162, 414)(163, 415)(164, 416)(165, 417)(166, 418)(167, 419)(168, 420)(169, 421)(170, 422)(171, 423)(172, 424)(173, 425)(174, 426)(175, 427)(176, 428)(177, 429)(178, 430)(179, 431)(180, 432)(181, 433)(182, 434)(183, 435)(184, 436)(185, 437)(186, 438)(187, 439)(188, 440)(189, 441)(190, 442)(191, 443)(192, 444)(193, 445)(194, 446)(195, 447)(196, 448)(197, 449)(198, 450)(199, 451)(200, 452)(201, 453)(202, 454)(203, 455)(204, 456)(205, 457)(206, 458)(207, 459)(208, 460)(209, 461)(210, 462)(211, 463)(212, 464)(213, 465)(214, 466)(215, 467)(216, 468)(217, 469)(218, 470)(219, 471)(220, 472)(221, 473)(222, 474)(223, 475)(224, 476)(225, 477)(226, 478)(227, 479)(228, 480)(229, 481)(230, 482)(231, 483)(232, 484)(233, 485)(234, 486)(235, 487)(236, 488)(237, 489)(238, 490)(239, 491)(240, 492)(241, 493)(242, 494)(243, 495)(244, 496)(245, 497)(246, 498)(247, 499)(248, 500)(249, 501)(250, 502)(251, 503)(252, 504)
	local type(s) :: { ( 4, 126 ), ( 4, 126, 4, 126, 4, 126, 4, 126, 4, 126, 4, 126, 4, 126, 4, 126, 4, 126, 4, 126, 4, 126, 4, 126, 4, 126, 4, 126, 4, 126, 4, 126, 4, 126, 4, 126 ) }
Outer automorphisms :: reflexible
Dual of E28.2556
Graph:: simple bipartite
	v = 133 e = 252 f = 65
	degree seq :: [ 2^126, 36^7 ]

E28.2558 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 10, 70})
Quotient :: regular
Aut^+ = C10 x D14 (small group id <140, 8>)
Aut   = C2 x D10 x D14 (small group id <280, 36>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, (T2 * T1^-5)^2, T1^-2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 * T2, T1^-5 * T2 * T1^2 * T2 * T1^-7 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 43, 71, 101, 125, 118, 90, 57, 32, 52, 80, 107, 94, 61, 85, 111, 132, 139, 136, 116, 88, 113, 92, 59, 34, 17, 29, 49, 77, 105, 128, 138, 135, 119, 91, 58, 33, 16, 28, 48, 76, 104, 95, 114, 134, 140, 137, 117, 89, 56, 84, 110, 93, 60, 35, 53, 81, 108, 130, 124, 100, 70, 42, 22, 10, 4)(3, 7, 15, 31, 55, 87, 115, 126, 112, 82, 50, 26, 12, 25, 47, 79, 68, 41, 67, 98, 122, 131, 106, 74, 44, 73, 64, 38, 20, 9, 19, 37, 63, 96, 120, 127, 102, 86, 54, 30, 14, 6, 13, 27, 51, 83, 69, 99, 123, 133, 109, 78, 46, 24, 45, 75, 66, 40, 21, 39, 65, 97, 121, 129, 103, 72, 62, 36, 18, 8)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 35)(19, 33)(20, 34)(22, 41)(23, 44)(25, 48)(26, 49)(27, 52)(30, 53)(31, 56)(36, 61)(37, 57)(38, 60)(39, 58)(40, 59)(42, 69)(43, 72)(45, 76)(46, 77)(47, 80)(50, 81)(51, 84)(54, 85)(55, 88)(62, 95)(63, 89)(64, 94)(65, 90)(66, 93)(67, 91)(68, 92)(70, 87)(71, 102)(73, 104)(74, 105)(75, 107)(78, 108)(79, 110)(82, 111)(83, 113)(86, 114)(96, 116)(97, 117)(98, 118)(99, 119)(100, 120)(101, 126)(103, 128)(106, 130)(109, 132)(112, 134)(115, 135)(121, 136)(122, 137)(123, 125)(124, 129)(127, 138)(131, 139)(133, 140)
	local type(s) :: { ( 10^70 ) }
Outer automorphisms :: reflexible
Dual of E28.2559
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 70 f = 14
	degree seq :: [ 70^2 ]

E28.2559 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 10, 70})
Quotient :: regular
Aut^+ = C10 x D14 (small group id <140, 8>)
Aut   = C2 x D10 x D14 (small group id <280, 36>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^2 * T2 * T1^-1, T1^10, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1, T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-3 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-3 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-3 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-3 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-4 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 32, 31, 19, 10, 4)(3, 7, 12, 22, 33, 47, 43, 28, 17, 8)(6, 13, 21, 34, 46, 45, 30, 18, 9, 14)(15, 25, 35, 49, 60, 57, 42, 27, 16, 26)(23, 36, 48, 61, 59, 44, 29, 38, 24, 37)(39, 53, 62, 74, 71, 56, 41, 55, 40, 54)(50, 63, 73, 72, 58, 66, 52, 65, 51, 64)(67, 79, 85, 83, 70, 82, 69, 81, 68, 80)(75, 86, 84, 90, 78, 89, 77, 88, 76, 87)(91, 101, 95, 105, 94, 104, 93, 103, 92, 102)(96, 106, 100, 110, 99, 109, 98, 108, 97, 107)(111, 121, 115, 125, 114, 124, 113, 123, 112, 122)(116, 126, 120, 130, 119, 129, 118, 128, 117, 127)(131, 136, 135, 140, 134, 139, 133, 138, 132, 137)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 21)(13, 23)(14, 24)(18, 29)(19, 30)(20, 33)(22, 35)(25, 39)(26, 40)(27, 41)(28, 42)(31, 43)(32, 46)(34, 48)(36, 50)(37, 51)(38, 52)(44, 58)(45, 59)(47, 60)(49, 62)(53, 67)(54, 68)(55, 69)(56, 70)(57, 71)(61, 73)(63, 75)(64, 76)(65, 77)(66, 78)(72, 84)(74, 85)(79, 91)(80, 92)(81, 93)(82, 94)(83, 95)(86, 96)(87, 97)(88, 98)(89, 99)(90, 100)(101, 111)(102, 112)(103, 113)(104, 114)(105, 115)(106, 116)(107, 117)(108, 118)(109, 119)(110, 120)(121, 131)(122, 132)(123, 133)(124, 134)(125, 135)(126, 136)(127, 137)(128, 138)(129, 139)(130, 140)
	local type(s) :: { ( 70^10 ) }
Outer automorphisms :: reflexible
Dual of E28.2558
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 14 e = 70 f = 2
	degree seq :: [ 10^14 ]

E28.2560 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 10, 70})
Quotient :: edge
Aut^+ = C10 x D14 (small group id <140, 8>)
Aut   = C2 x D10 x D14 (small group id <280, 36>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-2 * T1 * T2^2 * T1, T2^10, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1, T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 ]
Map::
	R = (1, 3, 8, 17, 28, 43, 31, 19, 10, 4)(2, 5, 12, 22, 35, 50, 38, 24, 14, 6)(7, 15, 26, 41, 56, 45, 30, 18, 9, 16)(11, 20, 33, 48, 63, 52, 37, 23, 13, 21)(25, 39, 54, 69, 59, 44, 29, 42, 27, 40)(32, 46, 61, 75, 66, 51, 36, 49, 34, 47)(53, 67, 80, 72, 58, 71, 57, 70, 55, 68)(60, 73, 86, 78, 65, 77, 64, 76, 62, 74)(79, 91, 84, 95, 83, 94, 82, 93, 81, 92)(85, 96, 90, 100, 89, 99, 88, 98, 87, 97)(101, 111, 105, 115, 104, 114, 103, 113, 102, 112)(106, 116, 110, 120, 109, 119, 108, 118, 107, 117)(121, 131, 125, 135, 124, 134, 123, 133, 122, 132)(126, 136, 130, 140, 129, 139, 128, 138, 127, 137)(141, 142)(143, 147)(144, 149)(145, 151)(146, 153)(148, 152)(150, 154)(155, 165)(156, 167)(157, 166)(158, 169)(159, 170)(160, 172)(161, 174)(162, 173)(163, 176)(164, 177)(168, 175)(171, 178)(179, 193)(180, 195)(181, 194)(182, 197)(183, 196)(184, 198)(185, 199)(186, 200)(187, 202)(188, 201)(189, 204)(190, 203)(191, 205)(192, 206)(207, 219)(208, 221)(209, 220)(210, 222)(211, 223)(212, 224)(213, 225)(214, 227)(215, 226)(216, 228)(217, 229)(218, 230)(231, 241)(232, 242)(233, 243)(234, 244)(235, 245)(236, 246)(237, 247)(238, 248)(239, 249)(240, 250)(251, 261)(252, 262)(253, 263)(254, 264)(255, 265)(256, 266)(257, 267)(258, 268)(259, 269)(260, 270)(271, 276)(272, 277)(273, 278)(274, 279)(275, 280)
	L = (1, 141)(2, 142)(3, 143)(4, 144)(5, 145)(6, 146)(7, 147)(8, 148)(9, 149)(10, 150)(11, 151)(12, 152)(13, 153)(14, 154)(15, 155)(16, 156)(17, 157)(18, 158)(19, 159)(20, 160)(21, 161)(22, 162)(23, 163)(24, 164)(25, 165)(26, 166)(27, 167)(28, 168)(29, 169)(30, 170)(31, 171)(32, 172)(33, 173)(34, 174)(35, 175)(36, 176)(37, 177)(38, 178)(39, 179)(40, 180)(41, 181)(42, 182)(43, 183)(44, 184)(45, 185)(46, 186)(47, 187)(48, 188)(49, 189)(50, 190)(51, 191)(52, 192)(53, 193)(54, 194)(55, 195)(56, 196)(57, 197)(58, 198)(59, 199)(60, 200)(61, 201)(62, 202)(63, 203)(64, 204)(65, 205)(66, 206)(67, 207)(68, 208)(69, 209)(70, 210)(71, 211)(72, 212)(73, 213)(74, 214)(75, 215)(76, 216)(77, 217)(78, 218)(79, 219)(80, 220)(81, 221)(82, 222)(83, 223)(84, 224)(85, 225)(86, 226)(87, 227)(88, 228)(89, 229)(90, 230)(91, 231)(92, 232)(93, 233)(94, 234)(95, 235)(96, 236)(97, 237)(98, 238)(99, 239)(100, 240)(101, 241)(102, 242)(103, 243)(104, 244)(105, 245)(106, 246)(107, 247)(108, 248)(109, 249)(110, 250)(111, 251)(112, 252)(113, 253)(114, 254)(115, 255)(116, 256)(117, 257)(118, 258)(119, 259)(120, 260)(121, 261)(122, 262)(123, 263)(124, 264)(125, 265)(126, 266)(127, 267)(128, 268)(129, 269)(130, 270)(131, 271)(132, 272)(133, 273)(134, 274)(135, 275)(136, 276)(137, 277)(138, 278)(139, 279)(140, 280)
	local type(s) :: { ( 140, 140 ), ( 140^10 ) }
Outer automorphisms :: reflexible
Dual of E28.2564
Transitivity :: ET+
Graph:: simple bipartite
	v = 84 e = 140 f = 2
	degree seq :: [ 2^70, 10^14 ]

E28.2561 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 10, 70})
Quotient :: edge
Aut^+ = C10 x D14 (small group id <140, 8>)
Aut   = C2 x D10 x D14 (small group id <280, 36>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1^2 * T2 * T1^-2, T1^-2 * T2 * T1^2 * T2^-1, T2^2 * T1^-1 * T2 * T1^-2 * T2 * T1^-3, T1^10, (T2^-4 * T1)^2, T2^-3 * T1 * T2^8 * T1 * T2^-3, T1 * T2^-2 * T1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1 * T2^2 * T1^-1 * T2^-1 * T1^2 * T2^4 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 48, 79, 99, 119, 128, 108, 88, 68, 41, 30, 53, 62, 43, 72, 92, 112, 132, 139, 126, 106, 86, 66, 38, 18, 6, 17, 36, 64, 85, 105, 125, 138, 127, 107, 87, 67, 39, 20, 13, 28, 51, 73, 93, 113, 133, 140, 129, 109, 89, 70, 55, 61, 34, 21, 42, 71, 91, 111, 131, 124, 104, 84, 59, 33, 15, 5)(2, 7, 19, 40, 69, 90, 110, 130, 116, 96, 76, 46, 24, 11, 27, 52, 65, 58, 83, 103, 123, 137, 118, 98, 78, 49, 63, 35, 16, 14, 31, 56, 81, 101, 121, 135, 115, 95, 75, 45, 23, 9, 4, 12, 29, 54, 80, 100, 120, 136, 117, 97, 77, 47, 26, 50, 60, 37, 32, 57, 82, 102, 122, 134, 114, 94, 74, 44, 22, 8)(141, 142, 146, 156, 174, 200, 193, 167, 153, 144)(143, 149, 157, 148, 161, 175, 202, 190, 168, 151)(145, 154, 158, 177, 201, 192, 170, 152, 160, 147)(150, 164, 176, 163, 182, 162, 183, 203, 191, 166)(155, 172, 178, 205, 195, 169, 181, 159, 179, 171)(165, 187, 204, 186, 211, 185, 212, 184, 213, 189)(173, 198, 206, 194, 210, 180, 208, 196, 207, 197)(188, 218, 225, 217, 231, 216, 232, 215, 233, 214)(199, 220, 226, 209, 229, 221, 228, 222, 227, 223)(219, 234, 245, 238, 251, 237, 252, 236, 253, 235)(224, 230, 246, 241, 249, 242, 248, 243, 247, 240)(239, 255, 265, 254, 271, 258, 272, 257, 273, 256)(244, 261, 266, 262, 269, 263, 268, 260, 267, 250)(259, 270, 278, 275, 264, 274, 279, 277, 280, 276)
	L = (1, 141)(2, 142)(3, 143)(4, 144)(5, 145)(6, 146)(7, 147)(8, 148)(9, 149)(10, 150)(11, 151)(12, 152)(13, 153)(14, 154)(15, 155)(16, 156)(17, 157)(18, 158)(19, 159)(20, 160)(21, 161)(22, 162)(23, 163)(24, 164)(25, 165)(26, 166)(27, 167)(28, 168)(29, 169)(30, 170)(31, 171)(32, 172)(33, 173)(34, 174)(35, 175)(36, 176)(37, 177)(38, 178)(39, 179)(40, 180)(41, 181)(42, 182)(43, 183)(44, 184)(45, 185)(46, 186)(47, 187)(48, 188)(49, 189)(50, 190)(51, 191)(52, 192)(53, 193)(54, 194)(55, 195)(56, 196)(57, 197)(58, 198)(59, 199)(60, 200)(61, 201)(62, 202)(63, 203)(64, 204)(65, 205)(66, 206)(67, 207)(68, 208)(69, 209)(70, 210)(71, 211)(72, 212)(73, 213)(74, 214)(75, 215)(76, 216)(77, 217)(78, 218)(79, 219)(80, 220)(81, 221)(82, 222)(83, 223)(84, 224)(85, 225)(86, 226)(87, 227)(88, 228)(89, 229)(90, 230)(91, 231)(92, 232)(93, 233)(94, 234)(95, 235)(96, 236)(97, 237)(98, 238)(99, 239)(100, 240)(101, 241)(102, 242)(103, 243)(104, 244)(105, 245)(106, 246)(107, 247)(108, 248)(109, 249)(110, 250)(111, 251)(112, 252)(113, 253)(114, 254)(115, 255)(116, 256)(117, 257)(118, 258)(119, 259)(120, 260)(121, 261)(122, 262)(123, 263)(124, 264)(125, 265)(126, 266)(127, 267)(128, 268)(129, 269)(130, 270)(131, 271)(132, 272)(133, 273)(134, 274)(135, 275)(136, 276)(137, 277)(138, 278)(139, 279)(140, 280)
	local type(s) :: { ( 4^10 ), ( 4^70 ) }
Outer automorphisms :: reflexible
Dual of E28.2565
Transitivity :: ET+
Graph:: bipartite
	v = 16 e = 140 f = 70
	degree seq :: [ 10^14, 70^2 ]

E28.2562 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 10, 70})
Quotient :: edge
Aut^+ = C10 x D14 (small group id <140, 8>)
Aut   = C2 x D10 x D14 (small group id <280, 36>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, (T2 * T1^-5)^2, T1^-2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 * T2, T1^-5 * T2 * T1^2 * T2 * T1^-7 ]
Map::
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 35)(19, 33)(20, 34)(22, 41)(23, 44)(25, 48)(26, 49)(27, 52)(30, 53)(31, 56)(36, 61)(37, 57)(38, 60)(39, 58)(40, 59)(42, 69)(43, 72)(45, 76)(46, 77)(47, 80)(50, 81)(51, 84)(54, 85)(55, 88)(62, 95)(63, 89)(64, 94)(65, 90)(66, 93)(67, 91)(68, 92)(70, 87)(71, 102)(73, 104)(74, 105)(75, 107)(78, 108)(79, 110)(82, 111)(83, 113)(86, 114)(96, 116)(97, 117)(98, 118)(99, 119)(100, 120)(101, 126)(103, 128)(106, 130)(109, 132)(112, 134)(115, 135)(121, 136)(122, 137)(123, 125)(124, 129)(127, 138)(131, 139)(133, 140)(141, 142, 145, 151, 163, 183, 211, 241, 265, 258, 230, 197, 172, 192, 220, 247, 234, 201, 225, 251, 272, 279, 276, 256, 228, 253, 232, 199, 174, 157, 169, 189, 217, 245, 268, 278, 275, 259, 231, 198, 173, 156, 168, 188, 216, 244, 235, 254, 274, 280, 277, 257, 229, 196, 224, 250, 233, 200, 175, 193, 221, 248, 270, 264, 240, 210, 182, 162, 150, 144)(143, 147, 155, 171, 195, 227, 255, 266, 252, 222, 190, 166, 152, 165, 187, 219, 208, 181, 207, 238, 262, 271, 246, 214, 184, 213, 204, 178, 160, 149, 159, 177, 203, 236, 260, 267, 242, 226, 194, 170, 154, 146, 153, 167, 191, 223, 209, 239, 263, 273, 249, 218, 186, 164, 185, 215, 206, 180, 161, 179, 205, 237, 261, 269, 243, 212, 202, 176, 158, 148)
	L = (1, 141)(2, 142)(3, 143)(4, 144)(5, 145)(6, 146)(7, 147)(8, 148)(9, 149)(10, 150)(11, 151)(12, 152)(13, 153)(14, 154)(15, 155)(16, 156)(17, 157)(18, 158)(19, 159)(20, 160)(21, 161)(22, 162)(23, 163)(24, 164)(25, 165)(26, 166)(27, 167)(28, 168)(29, 169)(30, 170)(31, 171)(32, 172)(33, 173)(34, 174)(35, 175)(36, 176)(37, 177)(38, 178)(39, 179)(40, 180)(41, 181)(42, 182)(43, 183)(44, 184)(45, 185)(46, 186)(47, 187)(48, 188)(49, 189)(50, 190)(51, 191)(52, 192)(53, 193)(54, 194)(55, 195)(56, 196)(57, 197)(58, 198)(59, 199)(60, 200)(61, 201)(62, 202)(63, 203)(64, 204)(65, 205)(66, 206)(67, 207)(68, 208)(69, 209)(70, 210)(71, 211)(72, 212)(73, 213)(74, 214)(75, 215)(76, 216)(77, 217)(78, 218)(79, 219)(80, 220)(81, 221)(82, 222)(83, 223)(84, 224)(85, 225)(86, 226)(87, 227)(88, 228)(89, 229)(90, 230)(91, 231)(92, 232)(93, 233)(94, 234)(95, 235)(96, 236)(97, 237)(98, 238)(99, 239)(100, 240)(101, 241)(102, 242)(103, 243)(104, 244)(105, 245)(106, 246)(107, 247)(108, 248)(109, 249)(110, 250)(111, 251)(112, 252)(113, 253)(114, 254)(115, 255)(116, 256)(117, 257)(118, 258)(119, 259)(120, 260)(121, 261)(122, 262)(123, 263)(124, 264)(125, 265)(126, 266)(127, 267)(128, 268)(129, 269)(130, 270)(131, 271)(132, 272)(133, 273)(134, 274)(135, 275)(136, 276)(137, 277)(138, 278)(139, 279)(140, 280)
	local type(s) :: { ( 20, 20 ), ( 20^70 ) }
Outer automorphisms :: reflexible
Dual of E28.2563
Transitivity :: ET+
Graph:: simple bipartite
	v = 72 e = 140 f = 14
	degree seq :: [ 2^70, 70^2 ]

E28.2563 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 10, 70})
Quotient :: loop
Aut^+ = C10 x D14 (small group id <140, 8>)
Aut   = C2 x D10 x D14 (small group id <280, 36>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-2 * T1 * T2^2 * T1, T2^10, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1, T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 ]
Map::
	R = (1, 141, 3, 143, 8, 148, 17, 157, 28, 168, 43, 183, 31, 171, 19, 159, 10, 150, 4, 144)(2, 142, 5, 145, 12, 152, 22, 162, 35, 175, 50, 190, 38, 178, 24, 164, 14, 154, 6, 146)(7, 147, 15, 155, 26, 166, 41, 181, 56, 196, 45, 185, 30, 170, 18, 158, 9, 149, 16, 156)(11, 151, 20, 160, 33, 173, 48, 188, 63, 203, 52, 192, 37, 177, 23, 163, 13, 153, 21, 161)(25, 165, 39, 179, 54, 194, 69, 209, 59, 199, 44, 184, 29, 169, 42, 182, 27, 167, 40, 180)(32, 172, 46, 186, 61, 201, 75, 215, 66, 206, 51, 191, 36, 176, 49, 189, 34, 174, 47, 187)(53, 193, 67, 207, 80, 220, 72, 212, 58, 198, 71, 211, 57, 197, 70, 210, 55, 195, 68, 208)(60, 200, 73, 213, 86, 226, 78, 218, 65, 205, 77, 217, 64, 204, 76, 216, 62, 202, 74, 214)(79, 219, 91, 231, 84, 224, 95, 235, 83, 223, 94, 234, 82, 222, 93, 233, 81, 221, 92, 232)(85, 225, 96, 236, 90, 230, 100, 240, 89, 229, 99, 239, 88, 228, 98, 238, 87, 227, 97, 237)(101, 241, 111, 251, 105, 245, 115, 255, 104, 244, 114, 254, 103, 243, 113, 253, 102, 242, 112, 252)(106, 246, 116, 256, 110, 250, 120, 260, 109, 249, 119, 259, 108, 248, 118, 258, 107, 247, 117, 257)(121, 261, 131, 271, 125, 265, 135, 275, 124, 264, 134, 274, 123, 263, 133, 273, 122, 262, 132, 272)(126, 266, 136, 276, 130, 270, 140, 280, 129, 269, 139, 279, 128, 268, 138, 278, 127, 267, 137, 277)
	L = (1, 142)(2, 141)(3, 147)(4, 149)(5, 151)(6, 153)(7, 143)(8, 152)(9, 144)(10, 154)(11, 145)(12, 148)(13, 146)(14, 150)(15, 165)(16, 167)(17, 166)(18, 169)(19, 170)(20, 172)(21, 174)(22, 173)(23, 176)(24, 177)(25, 155)(26, 157)(27, 156)(28, 175)(29, 158)(30, 159)(31, 178)(32, 160)(33, 162)(34, 161)(35, 168)(36, 163)(37, 164)(38, 171)(39, 193)(40, 195)(41, 194)(42, 197)(43, 196)(44, 198)(45, 199)(46, 200)(47, 202)(48, 201)(49, 204)(50, 203)(51, 205)(52, 206)(53, 179)(54, 181)(55, 180)(56, 183)(57, 182)(58, 184)(59, 185)(60, 186)(61, 188)(62, 187)(63, 190)(64, 189)(65, 191)(66, 192)(67, 219)(68, 221)(69, 220)(70, 222)(71, 223)(72, 224)(73, 225)(74, 227)(75, 226)(76, 228)(77, 229)(78, 230)(79, 207)(80, 209)(81, 208)(82, 210)(83, 211)(84, 212)(85, 213)(86, 215)(87, 214)(88, 216)(89, 217)(90, 218)(91, 241)(92, 242)(93, 243)(94, 244)(95, 245)(96, 246)(97, 247)(98, 248)(99, 249)(100, 250)(101, 231)(102, 232)(103, 233)(104, 234)(105, 235)(106, 236)(107, 237)(108, 238)(109, 239)(110, 240)(111, 261)(112, 262)(113, 263)(114, 264)(115, 265)(116, 266)(117, 267)(118, 268)(119, 269)(120, 270)(121, 251)(122, 252)(123, 253)(124, 254)(125, 255)(126, 256)(127, 257)(128, 258)(129, 259)(130, 260)(131, 276)(132, 277)(133, 278)(134, 279)(135, 280)(136, 271)(137, 272)(138, 273)(139, 274)(140, 275)
	local type(s) :: { ( 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70 ) }
Outer automorphisms :: reflexible
Dual of E28.2562
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 14 e = 140 f = 72
	degree seq :: [ 20^14 ]

E28.2564 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 10, 70})
Quotient :: loop
Aut^+ = C10 x D14 (small group id <140, 8>)
Aut   = C2 x D10 x D14 (small group id <280, 36>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1^2 * T2 * T1^-2, T1^-2 * T2 * T1^2 * T2^-1, T2^2 * T1^-1 * T2 * T1^-2 * T2 * T1^-3, T1^10, (T2^-4 * T1)^2, T2^-3 * T1 * T2^8 * T1 * T2^-3, T1 * T2^-2 * T1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1 * T2^2 * T1^-1 * T2^-1 * T1^2 * T2^4 ]
Map::
	R = (1, 141, 3, 143, 10, 150, 25, 165, 48, 188, 79, 219, 99, 239, 119, 259, 128, 268, 108, 248, 88, 228, 68, 208, 41, 181, 30, 170, 53, 193, 62, 202, 43, 183, 72, 212, 92, 232, 112, 252, 132, 272, 139, 279, 126, 266, 106, 246, 86, 226, 66, 206, 38, 178, 18, 158, 6, 146, 17, 157, 36, 176, 64, 204, 85, 225, 105, 245, 125, 265, 138, 278, 127, 267, 107, 247, 87, 227, 67, 207, 39, 179, 20, 160, 13, 153, 28, 168, 51, 191, 73, 213, 93, 233, 113, 253, 133, 273, 140, 280, 129, 269, 109, 249, 89, 229, 70, 210, 55, 195, 61, 201, 34, 174, 21, 161, 42, 182, 71, 211, 91, 231, 111, 251, 131, 271, 124, 264, 104, 244, 84, 224, 59, 199, 33, 173, 15, 155, 5, 145)(2, 142, 7, 147, 19, 159, 40, 180, 69, 209, 90, 230, 110, 250, 130, 270, 116, 256, 96, 236, 76, 216, 46, 186, 24, 164, 11, 151, 27, 167, 52, 192, 65, 205, 58, 198, 83, 223, 103, 243, 123, 263, 137, 277, 118, 258, 98, 238, 78, 218, 49, 189, 63, 203, 35, 175, 16, 156, 14, 154, 31, 171, 56, 196, 81, 221, 101, 241, 121, 261, 135, 275, 115, 255, 95, 235, 75, 215, 45, 185, 23, 163, 9, 149, 4, 144, 12, 152, 29, 169, 54, 194, 80, 220, 100, 240, 120, 260, 136, 276, 117, 257, 97, 237, 77, 217, 47, 187, 26, 166, 50, 190, 60, 200, 37, 177, 32, 172, 57, 197, 82, 222, 102, 242, 122, 262, 134, 274, 114, 254, 94, 234, 74, 214, 44, 184, 22, 162, 8, 148)
	L = (1, 142)(2, 146)(3, 149)(4, 141)(5, 154)(6, 156)(7, 145)(8, 161)(9, 157)(10, 164)(11, 143)(12, 160)(13, 144)(14, 158)(15, 172)(16, 174)(17, 148)(18, 177)(19, 179)(20, 147)(21, 175)(22, 183)(23, 182)(24, 176)(25, 187)(26, 150)(27, 153)(28, 151)(29, 181)(30, 152)(31, 155)(32, 178)(33, 198)(34, 200)(35, 202)(36, 163)(37, 201)(38, 205)(39, 171)(40, 208)(41, 159)(42, 162)(43, 203)(44, 213)(45, 212)(46, 211)(47, 204)(48, 218)(49, 165)(50, 168)(51, 166)(52, 170)(53, 167)(54, 210)(55, 169)(56, 207)(57, 173)(58, 206)(59, 220)(60, 193)(61, 192)(62, 190)(63, 191)(64, 186)(65, 195)(66, 194)(67, 197)(68, 196)(69, 229)(70, 180)(71, 185)(72, 184)(73, 189)(74, 188)(75, 233)(76, 232)(77, 231)(78, 225)(79, 234)(80, 226)(81, 228)(82, 227)(83, 199)(84, 230)(85, 217)(86, 209)(87, 223)(88, 222)(89, 221)(90, 246)(91, 216)(92, 215)(93, 214)(94, 245)(95, 219)(96, 253)(97, 252)(98, 251)(99, 255)(100, 224)(101, 249)(102, 248)(103, 247)(104, 261)(105, 238)(106, 241)(107, 240)(108, 243)(109, 242)(110, 244)(111, 237)(112, 236)(113, 235)(114, 271)(115, 265)(116, 239)(117, 273)(118, 272)(119, 270)(120, 267)(121, 266)(122, 269)(123, 268)(124, 274)(125, 254)(126, 262)(127, 250)(128, 260)(129, 263)(130, 278)(131, 258)(132, 257)(133, 256)(134, 279)(135, 264)(136, 259)(137, 280)(138, 275)(139, 277)(140, 276)
	local type(s) :: { ( 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10 ) }
Outer automorphisms :: reflexible
Dual of E28.2560
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 140 f = 84
	degree seq :: [ 140^2 ]

E28.2565 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 10, 70})
Quotient :: loop
Aut^+ = C10 x D14 (small group id <140, 8>)
Aut   = C2 x D10 x D14 (small group id <280, 36>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, (T2 * T1^-5)^2, T1^-2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 * T2, T1^-5 * T2 * T1^2 * T2 * T1^-7 ]
Map:: polytopal non-degenerate
	R = (1, 141, 3, 143)(2, 142, 6, 146)(4, 144, 9, 149)(5, 145, 12, 152)(7, 147, 16, 156)(8, 148, 17, 157)(10, 150, 21, 161)(11, 151, 24, 164)(13, 153, 28, 168)(14, 154, 29, 169)(15, 155, 32, 172)(18, 158, 35, 175)(19, 159, 33, 173)(20, 160, 34, 174)(22, 162, 41, 181)(23, 163, 44, 184)(25, 165, 48, 188)(26, 166, 49, 189)(27, 167, 52, 192)(30, 170, 53, 193)(31, 171, 56, 196)(36, 176, 61, 201)(37, 177, 57, 197)(38, 178, 60, 200)(39, 179, 58, 198)(40, 180, 59, 199)(42, 182, 69, 209)(43, 183, 72, 212)(45, 185, 76, 216)(46, 186, 77, 217)(47, 187, 80, 220)(50, 190, 81, 221)(51, 191, 84, 224)(54, 194, 85, 225)(55, 195, 88, 228)(62, 202, 95, 235)(63, 203, 89, 229)(64, 204, 94, 234)(65, 205, 90, 230)(66, 206, 93, 233)(67, 207, 91, 231)(68, 208, 92, 232)(70, 210, 87, 227)(71, 211, 102, 242)(73, 213, 104, 244)(74, 214, 105, 245)(75, 215, 107, 247)(78, 218, 108, 248)(79, 219, 110, 250)(82, 222, 111, 251)(83, 223, 113, 253)(86, 226, 114, 254)(96, 236, 116, 256)(97, 237, 117, 257)(98, 238, 118, 258)(99, 239, 119, 259)(100, 240, 120, 260)(101, 241, 126, 266)(103, 243, 128, 268)(106, 246, 130, 270)(109, 249, 132, 272)(112, 252, 134, 274)(115, 255, 135, 275)(121, 261, 136, 276)(122, 262, 137, 277)(123, 263, 125, 265)(124, 264, 129, 269)(127, 267, 138, 278)(131, 271, 139, 279)(133, 273, 140, 280)
	L = (1, 142)(2, 145)(3, 147)(4, 141)(5, 151)(6, 153)(7, 155)(8, 143)(9, 159)(10, 144)(11, 163)(12, 165)(13, 167)(14, 146)(15, 171)(16, 168)(17, 169)(18, 148)(19, 177)(20, 149)(21, 179)(22, 150)(23, 183)(24, 185)(25, 187)(26, 152)(27, 191)(28, 188)(29, 189)(30, 154)(31, 195)(32, 192)(33, 156)(34, 157)(35, 193)(36, 158)(37, 203)(38, 160)(39, 205)(40, 161)(41, 207)(42, 162)(43, 211)(44, 213)(45, 215)(46, 164)(47, 219)(48, 216)(49, 217)(50, 166)(51, 223)(52, 220)(53, 221)(54, 170)(55, 227)(56, 224)(57, 172)(58, 173)(59, 174)(60, 175)(61, 225)(62, 176)(63, 236)(64, 178)(65, 237)(66, 180)(67, 238)(68, 181)(69, 239)(70, 182)(71, 241)(72, 202)(73, 204)(74, 184)(75, 206)(76, 244)(77, 245)(78, 186)(79, 208)(80, 247)(81, 248)(82, 190)(83, 209)(84, 250)(85, 251)(86, 194)(87, 255)(88, 253)(89, 196)(90, 197)(91, 198)(92, 199)(93, 200)(94, 201)(95, 254)(96, 260)(97, 261)(98, 262)(99, 263)(100, 210)(101, 265)(102, 226)(103, 212)(104, 235)(105, 268)(106, 214)(107, 234)(108, 270)(109, 218)(110, 233)(111, 272)(112, 222)(113, 232)(114, 274)(115, 266)(116, 228)(117, 229)(118, 230)(119, 231)(120, 267)(121, 269)(122, 271)(123, 273)(124, 240)(125, 258)(126, 252)(127, 242)(128, 278)(129, 243)(130, 264)(131, 246)(132, 279)(133, 249)(134, 280)(135, 259)(136, 256)(137, 257)(138, 275)(139, 276)(140, 277)
	local type(s) :: { ( 10, 70, 10, 70 ) }
Outer automorphisms :: reflexible
Dual of E28.2561
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 70 e = 140 f = 16
	degree seq :: [ 4^70 ]

E28.2566 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 70})
Quotient :: dipole
Aut^+ = C10 x D14 (small group id <140, 8>)
Aut   = C2 x D10 x D14 (small group id <280, 36>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, (Y2^-1 * R * Y2^-1)^2, Y2^10, Y2^-3 * Y1 * Y2^-6 * Y1 * Y2^-1, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1, (Y3 * Y2^-1)^70 ]
Map::
	R = (1, 141, 2, 142)(3, 143, 7, 147)(4, 144, 9, 149)(5, 145, 11, 151)(6, 146, 13, 153)(8, 148, 12, 152)(10, 150, 14, 154)(15, 155, 25, 165)(16, 156, 27, 167)(17, 157, 26, 166)(18, 158, 29, 169)(19, 159, 30, 170)(20, 160, 32, 172)(21, 161, 34, 174)(22, 162, 33, 173)(23, 163, 36, 176)(24, 164, 37, 177)(28, 168, 35, 175)(31, 171, 38, 178)(39, 179, 53, 193)(40, 180, 55, 195)(41, 181, 54, 194)(42, 182, 57, 197)(43, 183, 56, 196)(44, 184, 58, 198)(45, 185, 59, 199)(46, 186, 60, 200)(47, 187, 62, 202)(48, 188, 61, 201)(49, 189, 64, 204)(50, 190, 63, 203)(51, 191, 65, 205)(52, 192, 66, 206)(67, 207, 79, 219)(68, 208, 81, 221)(69, 209, 80, 220)(70, 210, 82, 222)(71, 211, 83, 223)(72, 212, 84, 224)(73, 213, 85, 225)(74, 214, 87, 227)(75, 215, 86, 226)(76, 216, 88, 228)(77, 217, 89, 229)(78, 218, 90, 230)(91, 231, 101, 241)(92, 232, 102, 242)(93, 233, 103, 243)(94, 234, 104, 244)(95, 235, 105, 245)(96, 236, 106, 246)(97, 237, 107, 247)(98, 238, 108, 248)(99, 239, 109, 249)(100, 240, 110, 250)(111, 251, 121, 261)(112, 252, 122, 262)(113, 253, 123, 263)(114, 254, 124, 264)(115, 255, 125, 265)(116, 256, 126, 266)(117, 257, 127, 267)(118, 258, 128, 268)(119, 259, 129, 269)(120, 260, 130, 270)(131, 271, 136, 276)(132, 272, 137, 277)(133, 273, 138, 278)(134, 274, 139, 279)(135, 275, 140, 280)(281, 421, 283, 423, 288, 428, 297, 437, 308, 448, 323, 463, 311, 451, 299, 439, 290, 430, 284, 424)(282, 422, 285, 425, 292, 432, 302, 442, 315, 455, 330, 470, 318, 458, 304, 444, 294, 434, 286, 426)(287, 427, 295, 435, 306, 446, 321, 461, 336, 476, 325, 465, 310, 450, 298, 438, 289, 429, 296, 436)(291, 431, 300, 440, 313, 453, 328, 468, 343, 483, 332, 472, 317, 457, 303, 443, 293, 433, 301, 441)(305, 445, 319, 459, 334, 474, 349, 489, 339, 479, 324, 464, 309, 449, 322, 462, 307, 447, 320, 460)(312, 452, 326, 466, 341, 481, 355, 495, 346, 486, 331, 471, 316, 456, 329, 469, 314, 454, 327, 467)(333, 473, 347, 487, 360, 500, 352, 492, 338, 478, 351, 491, 337, 477, 350, 490, 335, 475, 348, 488)(340, 480, 353, 493, 366, 506, 358, 498, 345, 485, 357, 497, 344, 484, 356, 496, 342, 482, 354, 494)(359, 499, 371, 511, 364, 504, 375, 515, 363, 503, 374, 514, 362, 502, 373, 513, 361, 501, 372, 512)(365, 505, 376, 516, 370, 510, 380, 520, 369, 509, 379, 519, 368, 508, 378, 518, 367, 507, 377, 517)(381, 521, 391, 531, 385, 525, 395, 535, 384, 524, 394, 534, 383, 523, 393, 533, 382, 522, 392, 532)(386, 526, 396, 536, 390, 530, 400, 540, 389, 529, 399, 539, 388, 528, 398, 538, 387, 527, 397, 537)(401, 541, 411, 551, 405, 545, 415, 555, 404, 544, 414, 554, 403, 543, 413, 553, 402, 542, 412, 552)(406, 546, 416, 556, 410, 550, 420, 560, 409, 549, 419, 559, 408, 548, 418, 558, 407, 547, 417, 557)
	L = (1, 282)(2, 281)(3, 287)(4, 289)(5, 291)(6, 293)(7, 283)(8, 292)(9, 284)(10, 294)(11, 285)(12, 288)(13, 286)(14, 290)(15, 305)(16, 307)(17, 306)(18, 309)(19, 310)(20, 312)(21, 314)(22, 313)(23, 316)(24, 317)(25, 295)(26, 297)(27, 296)(28, 315)(29, 298)(30, 299)(31, 318)(32, 300)(33, 302)(34, 301)(35, 308)(36, 303)(37, 304)(38, 311)(39, 333)(40, 335)(41, 334)(42, 337)(43, 336)(44, 338)(45, 339)(46, 340)(47, 342)(48, 341)(49, 344)(50, 343)(51, 345)(52, 346)(53, 319)(54, 321)(55, 320)(56, 323)(57, 322)(58, 324)(59, 325)(60, 326)(61, 328)(62, 327)(63, 330)(64, 329)(65, 331)(66, 332)(67, 359)(68, 361)(69, 360)(70, 362)(71, 363)(72, 364)(73, 365)(74, 367)(75, 366)(76, 368)(77, 369)(78, 370)(79, 347)(80, 349)(81, 348)(82, 350)(83, 351)(84, 352)(85, 353)(86, 355)(87, 354)(88, 356)(89, 357)(90, 358)(91, 381)(92, 382)(93, 383)(94, 384)(95, 385)(96, 386)(97, 387)(98, 388)(99, 389)(100, 390)(101, 371)(102, 372)(103, 373)(104, 374)(105, 375)(106, 376)(107, 377)(108, 378)(109, 379)(110, 380)(111, 401)(112, 402)(113, 403)(114, 404)(115, 405)(116, 406)(117, 407)(118, 408)(119, 409)(120, 410)(121, 391)(122, 392)(123, 393)(124, 394)(125, 395)(126, 396)(127, 397)(128, 398)(129, 399)(130, 400)(131, 416)(132, 417)(133, 418)(134, 419)(135, 420)(136, 411)(137, 412)(138, 413)(139, 414)(140, 415)(141, 421)(142, 422)(143, 423)(144, 424)(145, 425)(146, 426)(147, 427)(148, 428)(149, 429)(150, 430)(151, 431)(152, 432)(153, 433)(154, 434)(155, 435)(156, 436)(157, 437)(158, 438)(159, 439)(160, 440)(161, 441)(162, 442)(163, 443)(164, 444)(165, 445)(166, 446)(167, 447)(168, 448)(169, 449)(170, 450)(171, 451)(172, 452)(173, 453)(174, 454)(175, 455)(176, 456)(177, 457)(178, 458)(179, 459)(180, 460)(181, 461)(182, 462)(183, 463)(184, 464)(185, 465)(186, 466)(187, 467)(188, 468)(189, 469)(190, 470)(191, 471)(192, 472)(193, 473)(194, 474)(195, 475)(196, 476)(197, 477)(198, 478)(199, 479)(200, 480)(201, 481)(202, 482)(203, 483)(204, 484)(205, 485)(206, 486)(207, 487)(208, 488)(209, 489)(210, 490)(211, 491)(212, 492)(213, 493)(214, 494)(215, 495)(216, 496)(217, 497)(218, 498)(219, 499)(220, 500)(221, 501)(222, 502)(223, 503)(224, 504)(225, 505)(226, 506)(227, 507)(228, 508)(229, 509)(230, 510)(231, 511)(232, 512)(233, 513)(234, 514)(235, 515)(236, 516)(237, 517)(238, 518)(239, 519)(240, 520)(241, 521)(242, 522)(243, 523)(244, 524)(245, 525)(246, 526)(247, 527)(248, 528)(249, 529)(250, 530)(251, 531)(252, 532)(253, 533)(254, 534)(255, 535)(256, 536)(257, 537)(258, 538)(259, 539)(260, 540)(261, 541)(262, 542)(263, 543)(264, 544)(265, 545)(266, 546)(267, 547)(268, 548)(269, 549)(270, 550)(271, 551)(272, 552)(273, 553)(274, 554)(275, 555)(276, 556)(277, 557)(278, 558)(279, 559)(280, 560)
	local type(s) :: { ( 2, 140, 2, 140 ), ( 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140 ) }
Outer automorphisms :: reflexible
Dual of E28.2569
Graph:: bipartite
	v = 84 e = 280 f = 142
	degree seq :: [ 4^70, 20^14 ]

E28.2567 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 70})
Quotient :: dipole
Aut^+ = C10 x D14 (small group id <140, 8>)
Aut   = C2 x D10 x D14 (small group id <280, 36>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y3^-1 * Y1^-1)^2, (Y2 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1^-2 * Y2 * Y1^2, Y1^-1 * Y2^-1 * Y1^2 * Y2 * Y1^-1, Y2^2 * Y1^-3 * Y2 * Y1^-2 * Y2 * Y1^-1, (Y2^-4 * Y1)^2, Y1^10, Y2 * Y1^-1 * Y2^-13 * Y1^-1 ]
Map::
	R = (1, 141, 2, 142, 6, 146, 16, 156, 34, 174, 60, 200, 53, 193, 27, 167, 13, 153, 4, 144)(3, 143, 9, 149, 17, 157, 8, 148, 21, 161, 35, 175, 62, 202, 50, 190, 28, 168, 11, 151)(5, 145, 14, 154, 18, 158, 37, 177, 61, 201, 52, 192, 30, 170, 12, 152, 20, 160, 7, 147)(10, 150, 24, 164, 36, 176, 23, 163, 42, 182, 22, 162, 43, 183, 63, 203, 51, 191, 26, 166)(15, 155, 32, 172, 38, 178, 65, 205, 55, 195, 29, 169, 41, 181, 19, 159, 39, 179, 31, 171)(25, 165, 47, 187, 64, 204, 46, 186, 71, 211, 45, 185, 72, 212, 44, 184, 73, 213, 49, 189)(33, 173, 58, 198, 66, 206, 54, 194, 70, 210, 40, 180, 68, 208, 56, 196, 67, 207, 57, 197)(48, 188, 78, 218, 85, 225, 77, 217, 91, 231, 76, 216, 92, 232, 75, 215, 93, 233, 74, 214)(59, 199, 80, 220, 86, 226, 69, 209, 89, 229, 81, 221, 88, 228, 82, 222, 87, 227, 83, 223)(79, 219, 94, 234, 105, 245, 98, 238, 111, 251, 97, 237, 112, 252, 96, 236, 113, 253, 95, 235)(84, 224, 90, 230, 106, 246, 101, 241, 109, 249, 102, 242, 108, 248, 103, 243, 107, 247, 100, 240)(99, 239, 115, 255, 125, 265, 114, 254, 131, 271, 118, 258, 132, 272, 117, 257, 133, 273, 116, 256)(104, 244, 121, 261, 126, 266, 122, 262, 129, 269, 123, 263, 128, 268, 120, 260, 127, 267, 110, 250)(119, 259, 130, 270, 138, 278, 135, 275, 124, 264, 134, 274, 139, 279, 137, 277, 140, 280, 136, 276)(281, 421, 283, 423, 290, 430, 305, 445, 328, 468, 359, 499, 379, 519, 399, 539, 408, 548, 388, 528, 368, 508, 348, 488, 321, 461, 310, 450, 333, 473, 342, 482, 323, 463, 352, 492, 372, 512, 392, 532, 412, 552, 419, 559, 406, 546, 386, 526, 366, 506, 346, 486, 318, 458, 298, 438, 286, 426, 297, 437, 316, 456, 344, 484, 365, 505, 385, 525, 405, 545, 418, 558, 407, 547, 387, 527, 367, 507, 347, 487, 319, 459, 300, 440, 293, 433, 308, 448, 331, 471, 353, 493, 373, 513, 393, 533, 413, 553, 420, 560, 409, 549, 389, 529, 369, 509, 350, 490, 335, 475, 341, 481, 314, 454, 301, 441, 322, 462, 351, 491, 371, 511, 391, 531, 411, 551, 404, 544, 384, 524, 364, 504, 339, 479, 313, 453, 295, 435, 285, 425)(282, 422, 287, 427, 299, 439, 320, 460, 349, 489, 370, 510, 390, 530, 410, 550, 396, 536, 376, 516, 356, 496, 326, 466, 304, 444, 291, 431, 307, 447, 332, 472, 345, 485, 338, 478, 363, 503, 383, 523, 403, 543, 417, 557, 398, 538, 378, 518, 358, 498, 329, 469, 343, 483, 315, 455, 296, 436, 294, 434, 311, 451, 336, 476, 361, 501, 381, 521, 401, 541, 415, 555, 395, 535, 375, 515, 355, 495, 325, 465, 303, 443, 289, 429, 284, 424, 292, 432, 309, 449, 334, 474, 360, 500, 380, 520, 400, 540, 416, 556, 397, 537, 377, 517, 357, 497, 327, 467, 306, 446, 330, 470, 340, 480, 317, 457, 312, 452, 337, 477, 362, 502, 382, 522, 402, 542, 414, 554, 394, 534, 374, 514, 354, 494, 324, 464, 302, 442, 288, 428)
	L = (1, 283)(2, 287)(3, 290)(4, 292)(5, 281)(6, 297)(7, 299)(8, 282)(9, 284)(10, 305)(11, 307)(12, 309)(13, 308)(14, 311)(15, 285)(16, 294)(17, 316)(18, 286)(19, 320)(20, 293)(21, 322)(22, 288)(23, 289)(24, 291)(25, 328)(26, 330)(27, 332)(28, 331)(29, 334)(30, 333)(31, 336)(32, 337)(33, 295)(34, 301)(35, 296)(36, 344)(37, 312)(38, 298)(39, 300)(40, 349)(41, 310)(42, 351)(43, 352)(44, 302)(45, 303)(46, 304)(47, 306)(48, 359)(49, 343)(50, 340)(51, 353)(52, 345)(53, 342)(54, 360)(55, 341)(56, 361)(57, 362)(58, 363)(59, 313)(60, 317)(61, 314)(62, 323)(63, 315)(64, 365)(65, 338)(66, 318)(67, 319)(68, 321)(69, 370)(70, 335)(71, 371)(72, 372)(73, 373)(74, 324)(75, 325)(76, 326)(77, 327)(78, 329)(79, 379)(80, 380)(81, 381)(82, 382)(83, 383)(84, 339)(85, 385)(86, 346)(87, 347)(88, 348)(89, 350)(90, 390)(91, 391)(92, 392)(93, 393)(94, 354)(95, 355)(96, 356)(97, 357)(98, 358)(99, 399)(100, 400)(101, 401)(102, 402)(103, 403)(104, 364)(105, 405)(106, 366)(107, 367)(108, 368)(109, 369)(110, 410)(111, 411)(112, 412)(113, 413)(114, 374)(115, 375)(116, 376)(117, 377)(118, 378)(119, 408)(120, 416)(121, 415)(122, 414)(123, 417)(124, 384)(125, 418)(126, 386)(127, 387)(128, 388)(129, 389)(130, 396)(131, 404)(132, 419)(133, 420)(134, 394)(135, 395)(136, 397)(137, 398)(138, 407)(139, 406)(140, 409)(141, 421)(142, 422)(143, 423)(144, 424)(145, 425)(146, 426)(147, 427)(148, 428)(149, 429)(150, 430)(151, 431)(152, 432)(153, 433)(154, 434)(155, 435)(156, 436)(157, 437)(158, 438)(159, 439)(160, 440)(161, 441)(162, 442)(163, 443)(164, 444)(165, 445)(166, 446)(167, 447)(168, 448)(169, 449)(170, 450)(171, 451)(172, 452)(173, 453)(174, 454)(175, 455)(176, 456)(177, 457)(178, 458)(179, 459)(180, 460)(181, 461)(182, 462)(183, 463)(184, 464)(185, 465)(186, 466)(187, 467)(188, 468)(189, 469)(190, 470)(191, 471)(192, 472)(193, 473)(194, 474)(195, 475)(196, 476)(197, 477)(198, 478)(199, 479)(200, 480)(201, 481)(202, 482)(203, 483)(204, 484)(205, 485)(206, 486)(207, 487)(208, 488)(209, 489)(210, 490)(211, 491)(212, 492)(213, 493)(214, 494)(215, 495)(216, 496)(217, 497)(218, 498)(219, 499)(220, 500)(221, 501)(222, 502)(223, 503)(224, 504)(225, 505)(226, 506)(227, 507)(228, 508)(229, 509)(230, 510)(231, 511)(232, 512)(233, 513)(234, 514)(235, 515)(236, 516)(237, 517)(238, 518)(239, 519)(240, 520)(241, 521)(242, 522)(243, 523)(244, 524)(245, 525)(246, 526)(247, 527)(248, 528)(249, 529)(250, 530)(251, 531)(252, 532)(253, 533)(254, 534)(255, 535)(256, 536)(257, 537)(258, 538)(259, 539)(260, 540)(261, 541)(262, 542)(263, 543)(264, 544)(265, 545)(266, 546)(267, 547)(268, 548)(269, 549)(270, 550)(271, 551)(272, 552)(273, 553)(274, 554)(275, 555)(276, 556)(277, 557)(278, 558)(279, 559)(280, 560)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.2568
Graph:: bipartite
	v = 16 e = 280 f = 210
	degree seq :: [ 20^14, 140^2 ]

E28.2568 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 70})
Quotient :: dipole
Aut^+ = C10 x D14 (small group id <140, 8>)
Aut   = C2 x D10 x D14 (small group id <280, 36>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2, (Y3^5 * Y2)^2, Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^-2 * Y2 * Y3^-2, Y3^-1 * Y2 * Y3^12 * Y2 * Y3^-1, (Y3^-1 * Y1^-1)^70 ]
Map:: polytopal
	R = (1, 141)(2, 142)(3, 143)(4, 144)(5, 145)(6, 146)(7, 147)(8, 148)(9, 149)(10, 150)(11, 151)(12, 152)(13, 153)(14, 154)(15, 155)(16, 156)(17, 157)(18, 158)(19, 159)(20, 160)(21, 161)(22, 162)(23, 163)(24, 164)(25, 165)(26, 166)(27, 167)(28, 168)(29, 169)(30, 170)(31, 171)(32, 172)(33, 173)(34, 174)(35, 175)(36, 176)(37, 177)(38, 178)(39, 179)(40, 180)(41, 181)(42, 182)(43, 183)(44, 184)(45, 185)(46, 186)(47, 187)(48, 188)(49, 189)(50, 190)(51, 191)(52, 192)(53, 193)(54, 194)(55, 195)(56, 196)(57, 197)(58, 198)(59, 199)(60, 200)(61, 201)(62, 202)(63, 203)(64, 204)(65, 205)(66, 206)(67, 207)(68, 208)(69, 209)(70, 210)(71, 211)(72, 212)(73, 213)(74, 214)(75, 215)(76, 216)(77, 217)(78, 218)(79, 219)(80, 220)(81, 221)(82, 222)(83, 223)(84, 224)(85, 225)(86, 226)(87, 227)(88, 228)(89, 229)(90, 230)(91, 231)(92, 232)(93, 233)(94, 234)(95, 235)(96, 236)(97, 237)(98, 238)(99, 239)(100, 240)(101, 241)(102, 242)(103, 243)(104, 244)(105, 245)(106, 246)(107, 247)(108, 248)(109, 249)(110, 250)(111, 251)(112, 252)(113, 253)(114, 254)(115, 255)(116, 256)(117, 257)(118, 258)(119, 259)(120, 260)(121, 261)(122, 262)(123, 263)(124, 264)(125, 265)(126, 266)(127, 267)(128, 268)(129, 269)(130, 270)(131, 271)(132, 272)(133, 273)(134, 274)(135, 275)(136, 276)(137, 277)(138, 278)(139, 279)(140, 280)(281, 421, 282, 422)(283, 423, 287, 427)(284, 424, 289, 429)(285, 425, 291, 431)(286, 426, 293, 433)(288, 428, 297, 437)(290, 430, 301, 441)(292, 432, 305, 445)(294, 434, 309, 449)(295, 435, 303, 443)(296, 436, 307, 447)(298, 438, 315, 455)(299, 439, 304, 444)(300, 440, 308, 448)(302, 442, 321, 461)(306, 446, 327, 467)(310, 450, 333, 473)(311, 451, 325, 465)(312, 452, 331, 471)(313, 453, 323, 463)(314, 454, 329, 469)(316, 456, 341, 481)(317, 457, 326, 466)(318, 458, 332, 472)(319, 459, 324, 464)(320, 460, 330, 470)(322, 462, 349, 489)(328, 468, 357, 497)(334, 474, 365, 505)(335, 475, 355, 495)(336, 476, 363, 503)(337, 477, 353, 493)(338, 478, 361, 501)(339, 479, 351, 491)(340, 480, 359, 499)(342, 482, 366, 506)(343, 483, 356, 496)(344, 484, 364, 504)(345, 485, 354, 494)(346, 486, 362, 502)(347, 487, 352, 492)(348, 488, 360, 500)(350, 490, 358, 498)(367, 507, 387, 527)(368, 508, 393, 533)(369, 509, 385, 525)(370, 510, 392, 532)(371, 511, 383, 523)(372, 512, 391, 531)(373, 513, 381, 521)(374, 514, 390, 530)(375, 515, 395, 535)(376, 516, 388, 528)(377, 517, 386, 526)(378, 518, 384, 524)(379, 519, 382, 522)(380, 520, 400, 540)(389, 529, 405, 545)(394, 534, 410, 550)(396, 536, 413, 553)(397, 537, 412, 552)(398, 538, 411, 551)(399, 539, 409, 549)(401, 541, 408, 548)(402, 542, 407, 547)(403, 543, 406, 546)(404, 544, 414, 554)(415, 555, 418, 558)(416, 556, 419, 559)(417, 557, 420, 560)
	L = (1, 283)(2, 285)(3, 288)(4, 281)(5, 292)(6, 282)(7, 295)(8, 298)(9, 299)(10, 284)(11, 303)(12, 306)(13, 307)(14, 286)(15, 311)(16, 287)(17, 313)(18, 316)(19, 317)(20, 289)(21, 319)(22, 290)(23, 323)(24, 291)(25, 325)(26, 328)(27, 329)(28, 293)(29, 331)(30, 294)(31, 335)(32, 296)(33, 337)(34, 297)(35, 339)(36, 342)(37, 343)(38, 300)(39, 345)(40, 301)(41, 347)(42, 302)(43, 351)(44, 304)(45, 353)(46, 305)(47, 355)(48, 358)(49, 359)(50, 308)(51, 361)(52, 309)(53, 363)(54, 310)(55, 367)(56, 312)(57, 369)(58, 314)(59, 371)(60, 315)(61, 373)(62, 375)(63, 376)(64, 318)(65, 377)(66, 320)(67, 378)(68, 321)(69, 379)(70, 322)(71, 381)(72, 324)(73, 383)(74, 326)(75, 385)(76, 327)(77, 387)(78, 389)(79, 390)(80, 330)(81, 391)(82, 332)(83, 392)(84, 333)(85, 393)(86, 334)(87, 349)(88, 336)(89, 348)(90, 338)(91, 346)(92, 340)(93, 344)(94, 341)(95, 399)(96, 400)(97, 401)(98, 402)(99, 403)(100, 350)(101, 365)(102, 352)(103, 364)(104, 354)(105, 362)(106, 356)(107, 360)(108, 357)(109, 409)(110, 410)(111, 411)(112, 412)(113, 413)(114, 366)(115, 368)(116, 370)(117, 372)(118, 374)(119, 406)(120, 415)(121, 414)(122, 417)(123, 416)(124, 380)(125, 382)(126, 384)(127, 386)(128, 388)(129, 396)(130, 418)(131, 404)(132, 420)(133, 419)(134, 394)(135, 395)(136, 397)(137, 398)(138, 405)(139, 407)(140, 408)(141, 421)(142, 422)(143, 423)(144, 424)(145, 425)(146, 426)(147, 427)(148, 428)(149, 429)(150, 430)(151, 431)(152, 432)(153, 433)(154, 434)(155, 435)(156, 436)(157, 437)(158, 438)(159, 439)(160, 440)(161, 441)(162, 442)(163, 443)(164, 444)(165, 445)(166, 446)(167, 447)(168, 448)(169, 449)(170, 450)(171, 451)(172, 452)(173, 453)(174, 454)(175, 455)(176, 456)(177, 457)(178, 458)(179, 459)(180, 460)(181, 461)(182, 462)(183, 463)(184, 464)(185, 465)(186, 466)(187, 467)(188, 468)(189, 469)(190, 470)(191, 471)(192, 472)(193, 473)(194, 474)(195, 475)(196, 476)(197, 477)(198, 478)(199, 479)(200, 480)(201, 481)(202, 482)(203, 483)(204, 484)(205, 485)(206, 486)(207, 487)(208, 488)(209, 489)(210, 490)(211, 491)(212, 492)(213, 493)(214, 494)(215, 495)(216, 496)(217, 497)(218, 498)(219, 499)(220, 500)(221, 501)(222, 502)(223, 503)(224, 504)(225, 505)(226, 506)(227, 507)(228, 508)(229, 509)(230, 510)(231, 511)(232, 512)(233, 513)(234, 514)(235, 515)(236, 516)(237, 517)(238, 518)(239, 519)(240, 520)(241, 521)(242, 522)(243, 523)(244, 524)(245, 525)(246, 526)(247, 527)(248, 528)(249, 529)(250, 530)(251, 531)(252, 532)(253, 533)(254, 534)(255, 535)(256, 536)(257, 537)(258, 538)(259, 539)(260, 540)(261, 541)(262, 542)(263, 543)(264, 544)(265, 545)(266, 546)(267, 547)(268, 548)(269, 549)(270, 550)(271, 551)(272, 552)(273, 553)(274, 554)(275, 555)(276, 556)(277, 557)(278, 558)(279, 559)(280, 560)
	local type(s) :: { ( 20, 140 ), ( 20, 140, 20, 140 ) }
Outer automorphisms :: reflexible
Dual of E28.2567
Graph:: simple bipartite
	v = 210 e = 280 f = 16
	degree seq :: [ 2^140, 4^70 ]

E28.2569 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 70})
Quotient :: dipole
Aut^+ = C10 x D14 (small group id <140, 8>)
Aut   = C2 x D10 x D14 (small group id <280, 36>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y3)^2, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1, Y1^-2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^-2 * Y3, (Y1^-1 * Y3 * Y1^-4)^2, Y1^-5 * Y3 * Y1^2 * Y3 * Y1^-7 ]
Map::
	R = (1, 141, 2, 142, 5, 145, 11, 151, 23, 163, 43, 183, 71, 211, 101, 241, 125, 265, 118, 258, 90, 230, 57, 197, 32, 172, 52, 192, 80, 220, 107, 247, 94, 234, 61, 201, 85, 225, 111, 251, 132, 272, 139, 279, 136, 276, 116, 256, 88, 228, 113, 253, 92, 232, 59, 199, 34, 174, 17, 157, 29, 169, 49, 189, 77, 217, 105, 245, 128, 268, 138, 278, 135, 275, 119, 259, 91, 231, 58, 198, 33, 173, 16, 156, 28, 168, 48, 188, 76, 216, 104, 244, 95, 235, 114, 254, 134, 274, 140, 280, 137, 277, 117, 257, 89, 229, 56, 196, 84, 224, 110, 250, 93, 233, 60, 200, 35, 175, 53, 193, 81, 221, 108, 248, 130, 270, 124, 264, 100, 240, 70, 210, 42, 182, 22, 162, 10, 150, 4, 144)(3, 143, 7, 147, 15, 155, 31, 171, 55, 195, 87, 227, 115, 255, 126, 266, 112, 252, 82, 222, 50, 190, 26, 166, 12, 152, 25, 165, 47, 187, 79, 219, 68, 208, 41, 181, 67, 207, 98, 238, 122, 262, 131, 271, 106, 246, 74, 214, 44, 184, 73, 213, 64, 204, 38, 178, 20, 160, 9, 149, 19, 159, 37, 177, 63, 203, 96, 236, 120, 260, 127, 267, 102, 242, 86, 226, 54, 194, 30, 170, 14, 154, 6, 146, 13, 153, 27, 167, 51, 191, 83, 223, 69, 209, 99, 239, 123, 263, 133, 273, 109, 249, 78, 218, 46, 186, 24, 164, 45, 185, 75, 215, 66, 206, 40, 180, 21, 161, 39, 179, 65, 205, 97, 237, 121, 261, 129, 269, 103, 243, 72, 212, 62, 202, 36, 176, 18, 158, 8, 148)(281, 421)(282, 422)(283, 423)(284, 424)(285, 425)(286, 426)(287, 427)(288, 428)(289, 429)(290, 430)(291, 431)(292, 432)(293, 433)(294, 434)(295, 435)(296, 436)(297, 437)(298, 438)(299, 439)(300, 440)(301, 441)(302, 442)(303, 443)(304, 444)(305, 445)(306, 446)(307, 447)(308, 448)(309, 449)(310, 450)(311, 451)(312, 452)(313, 453)(314, 454)(315, 455)(316, 456)(317, 457)(318, 458)(319, 459)(320, 460)(321, 461)(322, 462)(323, 463)(324, 464)(325, 465)(326, 466)(327, 467)(328, 468)(329, 469)(330, 470)(331, 471)(332, 472)(333, 473)(334, 474)(335, 475)(336, 476)(337, 477)(338, 478)(339, 479)(340, 480)(341, 481)(342, 482)(343, 483)(344, 484)(345, 485)(346, 486)(347, 487)(348, 488)(349, 489)(350, 490)(351, 491)(352, 492)(353, 493)(354, 494)(355, 495)(356, 496)(357, 497)(358, 498)(359, 499)(360, 500)(361, 501)(362, 502)(363, 503)(364, 504)(365, 505)(366, 506)(367, 507)(368, 508)(369, 509)(370, 510)(371, 511)(372, 512)(373, 513)(374, 514)(375, 515)(376, 516)(377, 517)(378, 518)(379, 519)(380, 520)(381, 521)(382, 522)(383, 523)(384, 524)(385, 525)(386, 526)(387, 527)(388, 528)(389, 529)(390, 530)(391, 531)(392, 532)(393, 533)(394, 534)(395, 535)(396, 536)(397, 537)(398, 538)(399, 539)(400, 540)(401, 541)(402, 542)(403, 543)(404, 544)(405, 545)(406, 546)(407, 547)(408, 548)(409, 549)(410, 550)(411, 551)(412, 552)(413, 553)(414, 554)(415, 555)(416, 556)(417, 557)(418, 558)(419, 559)(420, 560)
	L = (1, 283)(2, 286)(3, 281)(4, 289)(5, 292)(6, 282)(7, 296)(8, 297)(9, 284)(10, 301)(11, 304)(12, 285)(13, 308)(14, 309)(15, 312)(16, 287)(17, 288)(18, 315)(19, 313)(20, 314)(21, 290)(22, 321)(23, 324)(24, 291)(25, 328)(26, 329)(27, 332)(28, 293)(29, 294)(30, 333)(31, 336)(32, 295)(33, 299)(34, 300)(35, 298)(36, 341)(37, 337)(38, 340)(39, 338)(40, 339)(41, 302)(42, 349)(43, 352)(44, 303)(45, 356)(46, 357)(47, 360)(48, 305)(49, 306)(50, 361)(51, 364)(52, 307)(53, 310)(54, 365)(55, 368)(56, 311)(57, 317)(58, 319)(59, 320)(60, 318)(61, 316)(62, 375)(63, 369)(64, 374)(65, 370)(66, 373)(67, 371)(68, 372)(69, 322)(70, 367)(71, 382)(72, 323)(73, 384)(74, 385)(75, 387)(76, 325)(77, 326)(78, 388)(79, 390)(80, 327)(81, 330)(82, 391)(83, 393)(84, 331)(85, 334)(86, 394)(87, 350)(88, 335)(89, 343)(90, 345)(91, 347)(92, 348)(93, 346)(94, 344)(95, 342)(96, 396)(97, 397)(98, 398)(99, 399)(100, 400)(101, 406)(102, 351)(103, 408)(104, 353)(105, 354)(106, 410)(107, 355)(108, 358)(109, 412)(110, 359)(111, 362)(112, 414)(113, 363)(114, 366)(115, 415)(116, 376)(117, 377)(118, 378)(119, 379)(120, 380)(121, 416)(122, 417)(123, 405)(124, 409)(125, 403)(126, 381)(127, 418)(128, 383)(129, 404)(130, 386)(131, 419)(132, 389)(133, 420)(134, 392)(135, 395)(136, 401)(137, 402)(138, 407)(139, 411)(140, 413)(141, 421)(142, 422)(143, 423)(144, 424)(145, 425)(146, 426)(147, 427)(148, 428)(149, 429)(150, 430)(151, 431)(152, 432)(153, 433)(154, 434)(155, 435)(156, 436)(157, 437)(158, 438)(159, 439)(160, 440)(161, 441)(162, 442)(163, 443)(164, 444)(165, 445)(166, 446)(167, 447)(168, 448)(169, 449)(170, 450)(171, 451)(172, 452)(173, 453)(174, 454)(175, 455)(176, 456)(177, 457)(178, 458)(179, 459)(180, 460)(181, 461)(182, 462)(183, 463)(184, 464)(185, 465)(186, 466)(187, 467)(188, 468)(189, 469)(190, 470)(191, 471)(192, 472)(193, 473)(194, 474)(195, 475)(196, 476)(197, 477)(198, 478)(199, 479)(200, 480)(201, 481)(202, 482)(203, 483)(204, 484)(205, 485)(206, 486)(207, 487)(208, 488)(209, 489)(210, 490)(211, 491)(212, 492)(213, 493)(214, 494)(215, 495)(216, 496)(217, 497)(218, 498)(219, 499)(220, 500)(221, 501)(222, 502)(223, 503)(224, 504)(225, 505)(226, 506)(227, 507)(228, 508)(229, 509)(230, 510)(231, 511)(232, 512)(233, 513)(234, 514)(235, 515)(236, 516)(237, 517)(238, 518)(239, 519)(240, 520)(241, 521)(242, 522)(243, 523)(244, 524)(245, 525)(246, 526)(247, 527)(248, 528)(249, 529)(250, 530)(251, 531)(252, 532)(253, 533)(254, 534)(255, 535)(256, 536)(257, 537)(258, 538)(259, 539)(260, 540)(261, 541)(262, 542)(263, 543)(264, 544)(265, 545)(266, 546)(267, 547)(268, 548)(269, 549)(270, 550)(271, 551)(272, 552)(273, 553)(274, 554)(275, 555)(276, 556)(277, 557)(278, 558)(279, 559)(280, 560)
	local type(s) :: { ( 4, 20 ), ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E28.2566
Graph:: simple bipartite
	v = 142 e = 280 f = 84
	degree seq :: [ 2^140, 140^2 ]

E28.2570 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 70})
Quotient :: dipole
Aut^+ = C10 x D14 (small group id <140, 8>)
Aut   = C2 x D10 x D14 (small group id <280, 36>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1, (Y1 * Y2^5)^2, Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1 * Y2^-2, Y2^-1 * Y1 * Y2^12 * Y1 * Y2^-1, (Y2^-3 * R * Y2^-4)^2, (Y3 * Y2^-1)^10 ]
Map::
	R = (1, 141, 2, 142)(3, 143, 7, 147)(4, 144, 9, 149)(5, 145, 11, 151)(6, 146, 13, 153)(8, 148, 17, 157)(10, 150, 21, 161)(12, 152, 25, 165)(14, 154, 29, 169)(15, 155, 23, 163)(16, 156, 27, 167)(18, 158, 35, 175)(19, 159, 24, 164)(20, 160, 28, 168)(22, 162, 41, 181)(26, 166, 47, 187)(30, 170, 53, 193)(31, 171, 45, 185)(32, 172, 51, 191)(33, 173, 43, 183)(34, 174, 49, 189)(36, 176, 61, 201)(37, 177, 46, 186)(38, 178, 52, 192)(39, 179, 44, 184)(40, 180, 50, 190)(42, 182, 69, 209)(48, 188, 77, 217)(54, 194, 85, 225)(55, 195, 75, 215)(56, 196, 83, 223)(57, 197, 73, 213)(58, 198, 81, 221)(59, 199, 71, 211)(60, 200, 79, 219)(62, 202, 86, 226)(63, 203, 76, 216)(64, 204, 84, 224)(65, 205, 74, 214)(66, 206, 82, 222)(67, 207, 72, 212)(68, 208, 80, 220)(70, 210, 78, 218)(87, 227, 107, 247)(88, 228, 113, 253)(89, 229, 105, 245)(90, 230, 112, 252)(91, 231, 103, 243)(92, 232, 111, 251)(93, 233, 101, 241)(94, 234, 110, 250)(95, 235, 115, 255)(96, 236, 108, 248)(97, 237, 106, 246)(98, 238, 104, 244)(99, 239, 102, 242)(100, 240, 120, 260)(109, 249, 125, 265)(114, 254, 130, 270)(116, 256, 133, 273)(117, 257, 132, 272)(118, 258, 131, 271)(119, 259, 129, 269)(121, 261, 128, 268)(122, 262, 127, 267)(123, 263, 126, 266)(124, 264, 134, 274)(135, 275, 138, 278)(136, 276, 139, 279)(137, 277, 140, 280)(281, 421, 283, 423, 288, 428, 298, 438, 316, 456, 342, 482, 375, 515, 399, 539, 406, 546, 384, 524, 354, 494, 326, 466, 305, 445, 325, 465, 353, 493, 383, 523, 364, 504, 333, 473, 363, 503, 392, 532, 412, 552, 420, 560, 408, 548, 388, 528, 357, 497, 387, 527, 360, 500, 330, 470, 308, 448, 293, 433, 307, 447, 329, 469, 359, 499, 390, 530, 410, 550, 418, 558, 405, 545, 382, 522, 352, 492, 324, 464, 304, 444, 291, 431, 303, 443, 323, 463, 351, 491, 381, 521, 365, 505, 393, 533, 413, 553, 419, 559, 407, 547, 386, 526, 356, 496, 327, 467, 355, 495, 385, 525, 362, 502, 332, 472, 309, 449, 331, 471, 361, 501, 391, 531, 411, 551, 404, 544, 380, 520, 350, 490, 322, 462, 302, 442, 290, 430, 284, 424)(282, 422, 285, 425, 292, 432, 306, 446, 328, 468, 358, 498, 389, 529, 409, 549, 396, 536, 370, 510, 338, 478, 314, 454, 297, 437, 313, 453, 337, 477, 369, 509, 348, 488, 321, 461, 347, 487, 378, 518, 402, 542, 417, 557, 398, 538, 374, 514, 341, 481, 373, 513, 344, 484, 318, 458, 300, 440, 289, 429, 299, 439, 317, 457, 343, 483, 376, 516, 400, 540, 415, 555, 395, 535, 368, 508, 336, 476, 312, 452, 296, 436, 287, 427, 295, 435, 311, 451, 335, 475, 367, 507, 349, 489, 379, 519, 403, 543, 416, 556, 397, 537, 372, 512, 340, 480, 315, 455, 339, 479, 371, 511, 346, 486, 320, 460, 301, 441, 319, 459, 345, 485, 377, 517, 401, 541, 414, 554, 394, 534, 366, 506, 334, 474, 310, 450, 294, 434, 286, 426)
	L = (1, 282)(2, 281)(3, 287)(4, 289)(5, 291)(6, 293)(7, 283)(8, 297)(9, 284)(10, 301)(11, 285)(12, 305)(13, 286)(14, 309)(15, 303)(16, 307)(17, 288)(18, 315)(19, 304)(20, 308)(21, 290)(22, 321)(23, 295)(24, 299)(25, 292)(26, 327)(27, 296)(28, 300)(29, 294)(30, 333)(31, 325)(32, 331)(33, 323)(34, 329)(35, 298)(36, 341)(37, 326)(38, 332)(39, 324)(40, 330)(41, 302)(42, 349)(43, 313)(44, 319)(45, 311)(46, 317)(47, 306)(48, 357)(49, 314)(50, 320)(51, 312)(52, 318)(53, 310)(54, 365)(55, 355)(56, 363)(57, 353)(58, 361)(59, 351)(60, 359)(61, 316)(62, 366)(63, 356)(64, 364)(65, 354)(66, 362)(67, 352)(68, 360)(69, 322)(70, 358)(71, 339)(72, 347)(73, 337)(74, 345)(75, 335)(76, 343)(77, 328)(78, 350)(79, 340)(80, 348)(81, 338)(82, 346)(83, 336)(84, 344)(85, 334)(86, 342)(87, 387)(88, 393)(89, 385)(90, 392)(91, 383)(92, 391)(93, 381)(94, 390)(95, 395)(96, 388)(97, 386)(98, 384)(99, 382)(100, 400)(101, 373)(102, 379)(103, 371)(104, 378)(105, 369)(106, 377)(107, 367)(108, 376)(109, 405)(110, 374)(111, 372)(112, 370)(113, 368)(114, 410)(115, 375)(116, 413)(117, 412)(118, 411)(119, 409)(120, 380)(121, 408)(122, 407)(123, 406)(124, 414)(125, 389)(126, 403)(127, 402)(128, 401)(129, 399)(130, 394)(131, 398)(132, 397)(133, 396)(134, 404)(135, 418)(136, 419)(137, 420)(138, 415)(139, 416)(140, 417)(141, 421)(142, 422)(143, 423)(144, 424)(145, 425)(146, 426)(147, 427)(148, 428)(149, 429)(150, 430)(151, 431)(152, 432)(153, 433)(154, 434)(155, 435)(156, 436)(157, 437)(158, 438)(159, 439)(160, 440)(161, 441)(162, 442)(163, 443)(164, 444)(165, 445)(166, 446)(167, 447)(168, 448)(169, 449)(170, 450)(171, 451)(172, 452)(173, 453)(174, 454)(175, 455)(176, 456)(177, 457)(178, 458)(179, 459)(180, 460)(181, 461)(182, 462)(183, 463)(184, 464)(185, 465)(186, 466)(187, 467)(188, 468)(189, 469)(190, 470)(191, 471)(192, 472)(193, 473)(194, 474)(195, 475)(196, 476)(197, 477)(198, 478)(199, 479)(200, 480)(201, 481)(202, 482)(203, 483)(204, 484)(205, 485)(206, 486)(207, 487)(208, 488)(209, 489)(210, 490)(211, 491)(212, 492)(213, 493)(214, 494)(215, 495)(216, 496)(217, 497)(218, 498)(219, 499)(220, 500)(221, 501)(222, 502)(223, 503)(224, 504)(225, 505)(226, 506)(227, 507)(228, 508)(229, 509)(230, 510)(231, 511)(232, 512)(233, 513)(234, 514)(235, 515)(236, 516)(237, 517)(238, 518)(239, 519)(240, 520)(241, 521)(242, 522)(243, 523)(244, 524)(245, 525)(246, 526)(247, 527)(248, 528)(249, 529)(250, 530)(251, 531)(252, 532)(253, 533)(254, 534)(255, 535)(256, 536)(257, 537)(258, 538)(259, 539)(260, 540)(261, 541)(262, 542)(263, 543)(264, 544)(265, 545)(266, 546)(267, 547)(268, 548)(269, 549)(270, 550)(271, 551)(272, 552)(273, 553)(274, 554)(275, 555)(276, 556)(277, 557)(278, 558)(279, 559)(280, 560)
	local type(s) :: { ( 2, 20, 2, 20 ), ( 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20 ) }
Outer automorphisms :: reflexible
Dual of E28.2571
Graph:: bipartite
	v = 72 e = 280 f = 154
	degree seq :: [ 4^70, 140^2 ]

E28.2571 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 70})
Quotient :: dipole
Aut^+ = C10 x D14 (small group id <140, 8>)
Aut   = C2 x D10 x D14 (small group id <280, 36>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y1^-2 * Y3 * Y1^2, Y1^-2 * Y3 * Y1^2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y1^10, (Y3^-4 * Y1)^2, Y3 * Y1^-1 * Y3^-13 * Y1^-1, (Y3 * Y2^-1)^70 ]
Map::
	R = (1, 141, 2, 142, 6, 146, 16, 156, 34, 174, 60, 200, 53, 193, 27, 167, 13, 153, 4, 144)(3, 143, 9, 149, 17, 157, 8, 148, 21, 161, 35, 175, 62, 202, 50, 190, 28, 168, 11, 151)(5, 145, 14, 154, 18, 158, 37, 177, 61, 201, 52, 192, 30, 170, 12, 152, 20, 160, 7, 147)(10, 150, 24, 164, 36, 176, 23, 163, 42, 182, 22, 162, 43, 183, 63, 203, 51, 191, 26, 166)(15, 155, 32, 172, 38, 178, 65, 205, 55, 195, 29, 169, 41, 181, 19, 159, 39, 179, 31, 171)(25, 165, 47, 187, 64, 204, 46, 186, 71, 211, 45, 185, 72, 212, 44, 184, 73, 213, 49, 189)(33, 173, 58, 198, 66, 206, 54, 194, 70, 210, 40, 180, 68, 208, 56, 196, 67, 207, 57, 197)(48, 188, 78, 218, 85, 225, 77, 217, 91, 231, 76, 216, 92, 232, 75, 215, 93, 233, 74, 214)(59, 199, 80, 220, 86, 226, 69, 209, 89, 229, 81, 221, 88, 228, 82, 222, 87, 227, 83, 223)(79, 219, 94, 234, 105, 245, 98, 238, 111, 251, 97, 237, 112, 252, 96, 236, 113, 253, 95, 235)(84, 224, 90, 230, 106, 246, 101, 241, 109, 249, 102, 242, 108, 248, 103, 243, 107, 247, 100, 240)(99, 239, 115, 255, 125, 265, 114, 254, 131, 271, 118, 258, 132, 272, 117, 257, 133, 273, 116, 256)(104, 244, 121, 261, 126, 266, 122, 262, 129, 269, 123, 263, 128, 268, 120, 260, 127, 267, 110, 250)(119, 259, 130, 270, 138, 278, 135, 275, 124, 264, 134, 274, 139, 279, 137, 277, 140, 280, 136, 276)(281, 421)(282, 422)(283, 423)(284, 424)(285, 425)(286, 426)(287, 427)(288, 428)(289, 429)(290, 430)(291, 431)(292, 432)(293, 433)(294, 434)(295, 435)(296, 436)(297, 437)(298, 438)(299, 439)(300, 440)(301, 441)(302, 442)(303, 443)(304, 444)(305, 445)(306, 446)(307, 447)(308, 448)(309, 449)(310, 450)(311, 451)(312, 452)(313, 453)(314, 454)(315, 455)(316, 456)(317, 457)(318, 458)(319, 459)(320, 460)(321, 461)(322, 462)(323, 463)(324, 464)(325, 465)(326, 466)(327, 467)(328, 468)(329, 469)(330, 470)(331, 471)(332, 472)(333, 473)(334, 474)(335, 475)(336, 476)(337, 477)(338, 478)(339, 479)(340, 480)(341, 481)(342, 482)(343, 483)(344, 484)(345, 485)(346, 486)(347, 487)(348, 488)(349, 489)(350, 490)(351, 491)(352, 492)(353, 493)(354, 494)(355, 495)(356, 496)(357, 497)(358, 498)(359, 499)(360, 500)(361, 501)(362, 502)(363, 503)(364, 504)(365, 505)(366, 506)(367, 507)(368, 508)(369, 509)(370, 510)(371, 511)(372, 512)(373, 513)(374, 514)(375, 515)(376, 516)(377, 517)(378, 518)(379, 519)(380, 520)(381, 521)(382, 522)(383, 523)(384, 524)(385, 525)(386, 526)(387, 527)(388, 528)(389, 529)(390, 530)(391, 531)(392, 532)(393, 533)(394, 534)(395, 535)(396, 536)(397, 537)(398, 538)(399, 539)(400, 540)(401, 541)(402, 542)(403, 543)(404, 544)(405, 545)(406, 546)(407, 547)(408, 548)(409, 549)(410, 550)(411, 551)(412, 552)(413, 553)(414, 554)(415, 555)(416, 556)(417, 557)(418, 558)(419, 559)(420, 560)
	L = (1, 283)(2, 287)(3, 290)(4, 292)(5, 281)(6, 297)(7, 299)(8, 282)(9, 284)(10, 305)(11, 307)(12, 309)(13, 308)(14, 311)(15, 285)(16, 294)(17, 316)(18, 286)(19, 320)(20, 293)(21, 322)(22, 288)(23, 289)(24, 291)(25, 328)(26, 330)(27, 332)(28, 331)(29, 334)(30, 333)(31, 336)(32, 337)(33, 295)(34, 301)(35, 296)(36, 344)(37, 312)(38, 298)(39, 300)(40, 349)(41, 310)(42, 351)(43, 352)(44, 302)(45, 303)(46, 304)(47, 306)(48, 359)(49, 343)(50, 340)(51, 353)(52, 345)(53, 342)(54, 360)(55, 341)(56, 361)(57, 362)(58, 363)(59, 313)(60, 317)(61, 314)(62, 323)(63, 315)(64, 365)(65, 338)(66, 318)(67, 319)(68, 321)(69, 370)(70, 335)(71, 371)(72, 372)(73, 373)(74, 324)(75, 325)(76, 326)(77, 327)(78, 329)(79, 379)(80, 380)(81, 381)(82, 382)(83, 383)(84, 339)(85, 385)(86, 346)(87, 347)(88, 348)(89, 350)(90, 390)(91, 391)(92, 392)(93, 393)(94, 354)(95, 355)(96, 356)(97, 357)(98, 358)(99, 399)(100, 400)(101, 401)(102, 402)(103, 403)(104, 364)(105, 405)(106, 366)(107, 367)(108, 368)(109, 369)(110, 410)(111, 411)(112, 412)(113, 413)(114, 374)(115, 375)(116, 376)(117, 377)(118, 378)(119, 408)(120, 416)(121, 415)(122, 414)(123, 417)(124, 384)(125, 418)(126, 386)(127, 387)(128, 388)(129, 389)(130, 396)(131, 404)(132, 419)(133, 420)(134, 394)(135, 395)(136, 397)(137, 398)(138, 407)(139, 406)(140, 409)(141, 421)(142, 422)(143, 423)(144, 424)(145, 425)(146, 426)(147, 427)(148, 428)(149, 429)(150, 430)(151, 431)(152, 432)(153, 433)(154, 434)(155, 435)(156, 436)(157, 437)(158, 438)(159, 439)(160, 440)(161, 441)(162, 442)(163, 443)(164, 444)(165, 445)(166, 446)(167, 447)(168, 448)(169, 449)(170, 450)(171, 451)(172, 452)(173, 453)(174, 454)(175, 455)(176, 456)(177, 457)(178, 458)(179, 459)(180, 460)(181, 461)(182, 462)(183, 463)(184, 464)(185, 465)(186, 466)(187, 467)(188, 468)(189, 469)(190, 470)(191, 471)(192, 472)(193, 473)(194, 474)(195, 475)(196, 476)(197, 477)(198, 478)(199, 479)(200, 480)(201, 481)(202, 482)(203, 483)(204, 484)(205, 485)(206, 486)(207, 487)(208, 488)(209, 489)(210, 490)(211, 491)(212, 492)(213, 493)(214, 494)(215, 495)(216, 496)(217, 497)(218, 498)(219, 499)(220, 500)(221, 501)(222, 502)(223, 503)(224, 504)(225, 505)(226, 506)(227, 507)(228, 508)(229, 509)(230, 510)(231, 511)(232, 512)(233, 513)(234, 514)(235, 515)(236, 516)(237, 517)(238, 518)(239, 519)(240, 520)(241, 521)(242, 522)(243, 523)(244, 524)(245, 525)(246, 526)(247, 527)(248, 528)(249, 529)(250, 530)(251, 531)(252, 532)(253, 533)(254, 534)(255, 535)(256, 536)(257, 537)(258, 538)(259, 539)(260, 540)(261, 541)(262, 542)(263, 543)(264, 544)(265, 545)(266, 546)(267, 547)(268, 548)(269, 549)(270, 550)(271, 551)(272, 552)(273, 553)(274, 554)(275, 555)(276, 556)(277, 557)(278, 558)(279, 559)(280, 560)
	local type(s) :: { ( 4, 140 ), ( 4, 140, 4, 140, 4, 140, 4, 140, 4, 140, 4, 140, 4, 140, 4, 140, 4, 140, 4, 140 ) }
Outer automorphisms :: reflexible
Dual of E28.2570
Graph:: simple bipartite
	v = 154 e = 280 f = 72
	degree seq :: [ 2^140, 20^14 ]

E28.2572 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 8})
Quotient :: halfedge^2
Aut^+ = (Q8 : C9) : C2 (small group id <144, 32>)
Aut   = $<288, 340>$ (small group id <288, 340>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y2)^4, Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y1 * Y2, Y3 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1 * Y2, Y3 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y3 * Y1, (Y3 * Y1)^9, Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 146, 2, 145)(3, 151, 7, 147)(4, 153, 9, 148)(5, 155, 11, 149)(6, 157, 13, 150)(8, 161, 17, 152)(10, 165, 21, 154)(12, 169, 25, 156)(14, 173, 29, 158)(15, 175, 31, 159)(16, 177, 33, 160)(18, 181, 37, 162)(19, 183, 39, 163)(20, 185, 41, 164)(22, 189, 45, 166)(23, 190, 46, 167)(24, 192, 48, 168)(26, 196, 52, 170)(27, 198, 54, 171)(28, 200, 56, 172)(30, 204, 60, 174)(32, 195, 51, 176)(34, 203, 59, 178)(35, 199, 55, 179)(36, 191, 47, 180)(38, 197, 53, 182)(40, 194, 50, 184)(42, 202, 58, 186)(43, 201, 57, 187)(44, 193, 49, 188)(61, 229, 85, 205)(62, 230, 86, 206)(63, 232, 88, 207)(64, 233, 89, 208)(65, 234, 90, 209)(66, 236, 92, 210)(67, 224, 80, 211)(68, 223, 79, 212)(69, 235, 91, 213)(70, 231, 87, 214)(71, 237, 93, 215)(72, 238, 94, 216)(73, 239, 95, 217)(74, 240, 96, 218)(75, 242, 98, 219)(76, 243, 99, 220)(77, 244, 100, 221)(78, 246, 102, 222)(81, 245, 101, 225)(82, 241, 97, 226)(83, 247, 103, 227)(84, 248, 104, 228)(105, 269, 125, 249)(106, 270, 126, 250)(107, 271, 127, 251)(108, 272, 128, 252)(109, 274, 130, 253)(110, 273, 129, 254)(111, 275, 131, 255)(112, 276, 132, 256)(113, 277, 133, 257)(114, 278, 134, 258)(115, 279, 135, 259)(116, 280, 136, 260)(117, 281, 137, 261)(118, 282, 138, 262)(119, 284, 140, 263)(120, 283, 139, 264)(121, 285, 141, 265)(122, 286, 142, 266)(123, 287, 143, 267)(124, 288, 144, 268)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 18)(9, 19)(11, 23)(12, 26)(13, 27)(16, 34)(17, 35)(20, 42)(21, 43)(22, 38)(24, 49)(25, 50)(28, 57)(29, 58)(30, 53)(31, 61)(32, 63)(33, 64)(36, 68)(37, 69)(39, 71)(40, 70)(41, 72)(44, 67)(45, 66)(46, 73)(47, 75)(48, 76)(51, 80)(52, 81)(54, 83)(55, 82)(56, 84)(59, 79)(60, 78)(62, 87)(65, 91)(74, 97)(77, 101)(85, 105)(86, 107)(88, 110)(89, 111)(90, 112)(92, 109)(93, 106)(94, 114)(95, 115)(96, 117)(98, 120)(99, 121)(100, 122)(102, 119)(103, 116)(104, 124)(108, 129)(113, 130)(118, 139)(123, 140)(125, 135)(126, 144)(127, 142)(128, 141)(131, 138)(132, 137)(133, 143)(134, 136)(145, 148)(146, 150)(147, 152)(149, 156)(151, 160)(153, 164)(154, 166)(155, 168)(157, 172)(158, 174)(159, 176)(161, 180)(162, 182)(163, 184)(165, 188)(167, 191)(169, 195)(170, 197)(171, 199)(173, 203)(175, 206)(177, 209)(178, 210)(179, 211)(181, 214)(183, 208)(185, 205)(186, 213)(187, 212)(189, 207)(190, 218)(192, 221)(193, 222)(194, 223)(196, 226)(198, 220)(200, 217)(201, 225)(202, 224)(204, 219)(215, 232)(216, 236)(227, 242)(228, 246)(229, 250)(230, 252)(231, 253)(233, 251)(234, 249)(235, 254)(237, 257)(238, 255)(239, 260)(240, 262)(241, 263)(243, 261)(244, 259)(245, 264)(247, 267)(248, 265)(256, 274)(258, 273)(266, 284)(268, 283)(269, 282)(270, 280)(271, 288)(272, 279)(275, 287)(276, 286)(277, 285)(278, 281)
	local type(s) :: { ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E28.2575
Transitivity :: VT+ AT
Graph:: simple
	v = 72 e = 144 f = 18
	degree seq :: [ 4^72 ]

E28.2573 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 8})
Quotient :: halfedge^2
Aut^+ = (Q8 : C9) : C2 (small group id <144, 32>)
Aut   = $<288, 340>$ (small group id <288, 340>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, (Y2 * Y3)^4, Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y1 * Y2, Y3 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y3 * Y1, Y3 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1 * Y2, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 146, 2, 145)(3, 151, 7, 147)(4, 153, 9, 148)(5, 155, 11, 149)(6, 157, 13, 150)(8, 161, 17, 152)(10, 165, 21, 154)(12, 169, 25, 156)(14, 173, 29, 158)(15, 175, 31, 159)(16, 177, 33, 160)(18, 181, 37, 162)(19, 183, 39, 163)(20, 185, 41, 164)(22, 189, 45, 166)(23, 190, 46, 167)(24, 192, 48, 168)(26, 196, 52, 170)(27, 198, 54, 171)(28, 200, 56, 172)(30, 204, 60, 174)(32, 195, 51, 176)(34, 203, 59, 178)(35, 199, 55, 179)(36, 191, 47, 180)(38, 197, 53, 182)(40, 194, 50, 184)(42, 202, 58, 186)(43, 201, 57, 187)(44, 193, 49, 188)(61, 229, 85, 205)(62, 230, 86, 206)(63, 232, 88, 207)(64, 233, 89, 208)(65, 234, 90, 209)(66, 236, 92, 210)(67, 224, 80, 211)(68, 223, 79, 212)(69, 235, 91, 213)(70, 231, 87, 214)(71, 237, 93, 215)(72, 238, 94, 216)(73, 239, 95, 217)(74, 240, 96, 218)(75, 242, 98, 219)(76, 243, 99, 220)(77, 244, 100, 221)(78, 246, 102, 222)(81, 245, 101, 225)(82, 241, 97, 226)(83, 247, 103, 227)(84, 248, 104, 228)(105, 269, 125, 249)(106, 270, 126, 250)(107, 271, 127, 251)(108, 272, 128, 252)(109, 274, 130, 253)(110, 273, 129, 254)(111, 275, 131, 255)(112, 276, 132, 256)(113, 277, 133, 257)(114, 278, 134, 258)(115, 279, 135, 259)(116, 280, 136, 260)(117, 281, 137, 261)(118, 282, 138, 262)(119, 284, 140, 263)(120, 283, 139, 264)(121, 285, 141, 265)(122, 286, 142, 266)(123, 287, 143, 267)(124, 288, 144, 268)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 18)(9, 19)(11, 23)(12, 26)(13, 27)(16, 34)(17, 35)(20, 42)(21, 43)(22, 38)(24, 49)(25, 50)(28, 57)(29, 58)(30, 53)(31, 61)(32, 63)(33, 64)(36, 68)(37, 69)(39, 71)(40, 70)(41, 72)(44, 67)(45, 66)(46, 73)(47, 75)(48, 76)(51, 80)(52, 81)(54, 83)(55, 82)(56, 84)(59, 79)(60, 78)(62, 87)(65, 91)(74, 97)(77, 101)(85, 105)(86, 107)(88, 110)(89, 111)(90, 112)(92, 109)(93, 106)(94, 114)(95, 115)(96, 117)(98, 120)(99, 121)(100, 122)(102, 119)(103, 116)(104, 124)(108, 129)(113, 130)(118, 139)(123, 140)(125, 143)(126, 137)(127, 136)(128, 138)(131, 141)(132, 144)(133, 135)(134, 142)(145, 148)(146, 150)(147, 152)(149, 156)(151, 160)(153, 164)(154, 166)(155, 168)(157, 172)(158, 174)(159, 176)(161, 180)(162, 182)(163, 184)(165, 188)(167, 191)(169, 195)(170, 197)(171, 199)(173, 203)(175, 206)(177, 209)(178, 210)(179, 211)(181, 214)(183, 208)(185, 205)(186, 213)(187, 212)(189, 207)(190, 218)(192, 221)(193, 222)(194, 223)(196, 226)(198, 220)(200, 217)(201, 225)(202, 224)(204, 219)(215, 232)(216, 236)(227, 242)(228, 246)(229, 250)(230, 252)(231, 253)(233, 251)(234, 249)(235, 254)(237, 257)(238, 255)(239, 260)(240, 262)(241, 263)(243, 261)(244, 259)(245, 264)(247, 267)(248, 265)(256, 274)(258, 273)(266, 284)(268, 283)(269, 285)(270, 286)(271, 281)(272, 287)(275, 279)(276, 280)(277, 282)(278, 288)
	local type(s) :: { ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E28.2574
Transitivity :: VT+ AT
Graph:: simple
	v = 72 e = 144 f = 18
	degree seq :: [ 4^72 ]

E28.2574 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 8})
Quotient :: halfedge^2
Aut^+ = (Q8 : C9) : C2 (small group id <144, 32>)
Aut   = $<288, 340>$ (small group id <288, 340>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y2 * Y1^-1)^2, Y1^-1 * Y3 * Y1^2 * Y2 * Y1^-1, Y1^-1 * Y2 * Y1^2 * Y3 * Y1^-1, (Y1^-1 * Y2 * Y3)^2, Y1^-3 * Y2 * Y3 * Y2 * Y3 * Y1^-1, Y2 * Y3 * Y2 * Y3 * Y1^4, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 146, 2, 150, 6, 162, 18, 186, 42, 185, 41, 161, 17, 149, 5, 145)(3, 153, 9, 164, 20, 191, 47, 180, 36, 208, 64, 177, 33, 155, 11, 147)(4, 156, 12, 163, 19, 189, 45, 174, 30, 205, 61, 182, 38, 158, 14, 148)(7, 165, 21, 188, 44, 214, 70, 199, 55, 184, 40, 160, 16, 167, 23, 151)(8, 168, 24, 187, 43, 213, 69, 195, 51, 183, 39, 159, 15, 170, 26, 152)(10, 173, 29, 192, 48, 166, 22, 157, 13, 179, 35, 190, 46, 169, 25, 154)(27, 201, 57, 216, 72, 210, 66, 181, 37, 207, 63, 176, 32, 202, 58, 171)(28, 203, 59, 178, 34, 209, 65, 215, 71, 206, 62, 175, 31, 204, 60, 172)(49, 217, 73, 211, 67, 224, 80, 200, 56, 222, 78, 197, 53, 218, 74, 193)(50, 219, 75, 198, 54, 223, 79, 212, 68, 221, 77, 196, 52, 220, 76, 194)(81, 241, 97, 231, 87, 248, 104, 230, 86, 246, 102, 228, 84, 242, 98, 225)(82, 243, 99, 229, 85, 247, 103, 232, 88, 245, 101, 227, 83, 244, 100, 226)(89, 249, 105, 239, 95, 256, 112, 238, 94, 254, 110, 236, 92, 250, 106, 233)(90, 251, 107, 237, 93, 255, 111, 240, 96, 253, 109, 235, 91, 252, 108, 234)(113, 273, 129, 263, 119, 280, 136, 262, 118, 278, 134, 260, 116, 274, 130, 257)(114, 275, 131, 261, 117, 279, 135, 264, 120, 277, 133, 259, 115, 276, 132, 258)(121, 281, 137, 271, 127, 288, 144, 270, 126, 286, 142, 268, 124, 282, 138, 265)(122, 283, 139, 269, 125, 287, 143, 272, 128, 285, 141, 267, 123, 284, 140, 266)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 27)(10, 30)(11, 31)(12, 32)(14, 28)(16, 29)(17, 38)(18, 43)(20, 48)(21, 49)(22, 51)(23, 52)(24, 53)(26, 50)(33, 46)(34, 47)(35, 44)(36, 42)(37, 64)(39, 67)(40, 56)(41, 55)(45, 71)(54, 70)(57, 81)(58, 83)(59, 84)(60, 82)(61, 72)(62, 87)(63, 86)(65, 88)(66, 85)(68, 69)(73, 89)(74, 91)(75, 92)(76, 90)(77, 95)(78, 94)(79, 96)(80, 93)(97, 113)(98, 115)(99, 116)(100, 114)(101, 119)(102, 118)(103, 120)(104, 117)(105, 121)(106, 123)(107, 124)(108, 122)(109, 127)(110, 126)(111, 128)(112, 125)(129, 139)(130, 142)(131, 140)(132, 138)(133, 143)(134, 141)(135, 144)(136, 137)(145, 148)(146, 152)(147, 154)(149, 160)(150, 164)(151, 166)(153, 172)(155, 176)(156, 178)(157, 180)(158, 181)(159, 179)(161, 177)(162, 188)(163, 190)(165, 194)(167, 197)(168, 198)(169, 199)(170, 200)(171, 189)(173, 187)(174, 186)(175, 205)(182, 192)(183, 196)(184, 212)(185, 195)(191, 216)(193, 213)(201, 226)(202, 228)(203, 229)(204, 230)(206, 227)(207, 232)(208, 215)(209, 225)(210, 231)(211, 214)(217, 234)(218, 236)(219, 237)(220, 238)(221, 235)(222, 240)(223, 233)(224, 239)(241, 258)(242, 260)(243, 261)(244, 262)(245, 259)(246, 264)(247, 257)(248, 263)(249, 266)(250, 268)(251, 269)(252, 270)(253, 267)(254, 272)(255, 265)(256, 271)(273, 282)(274, 284)(275, 281)(276, 285)(277, 286)(278, 288)(279, 283)(280, 287)
	local type(s) :: { ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E28.2573
Transitivity :: VT+ AT
Graph::
	v = 18 e = 144 f = 72
	degree seq :: [ 16^18 ]

E28.2575 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 8})
Quotient :: halfedge^2
Aut^+ = (Q8 : C9) : C2 (small group id <144, 32>)
Aut   = $<288, 340>$ (small group id <288, 340>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, (Y1 * Y2 * Y3)^2, Y1^-1 * Y3 * Y1^2 * Y2 * Y1^-1, Y1^-1 * Y2 * Y1^2 * Y3 * Y1^-1, (Y1^-1 * Y2 * Y3)^2, Y1^-3 * Y2 * Y3 * Y2 * Y3 * Y1^-1, Y2 * Y3 * Y2 * Y3 * Y1^4, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 146, 2, 150, 6, 162, 18, 186, 42, 185, 41, 161, 17, 149, 5, 145)(3, 153, 9, 164, 20, 191, 47, 180, 36, 208, 64, 177, 33, 155, 11, 147)(4, 156, 12, 163, 19, 189, 45, 174, 30, 205, 61, 182, 38, 158, 14, 148)(7, 165, 21, 188, 44, 214, 70, 199, 55, 184, 40, 160, 16, 167, 23, 151)(8, 168, 24, 187, 43, 213, 69, 195, 51, 183, 39, 159, 15, 170, 26, 152)(10, 173, 29, 192, 48, 166, 22, 157, 13, 179, 35, 190, 46, 169, 25, 154)(27, 201, 57, 216, 72, 210, 66, 181, 37, 207, 63, 176, 32, 202, 58, 171)(28, 203, 59, 178, 34, 209, 65, 215, 71, 206, 62, 175, 31, 204, 60, 172)(49, 217, 73, 211, 67, 224, 80, 200, 56, 222, 78, 197, 53, 218, 74, 193)(50, 219, 75, 198, 54, 223, 79, 212, 68, 221, 77, 196, 52, 220, 76, 194)(81, 241, 97, 231, 87, 248, 104, 230, 86, 246, 102, 228, 84, 242, 98, 225)(82, 243, 99, 229, 85, 247, 103, 232, 88, 245, 101, 227, 83, 244, 100, 226)(89, 249, 105, 239, 95, 256, 112, 238, 94, 254, 110, 236, 92, 250, 106, 233)(90, 251, 107, 237, 93, 255, 111, 240, 96, 253, 109, 235, 91, 252, 108, 234)(113, 273, 129, 263, 119, 280, 136, 262, 118, 278, 134, 260, 116, 274, 130, 257)(114, 275, 131, 261, 117, 279, 135, 264, 120, 277, 133, 259, 115, 276, 132, 258)(121, 281, 137, 271, 127, 288, 144, 270, 126, 286, 142, 268, 124, 282, 138, 265)(122, 283, 139, 269, 125, 287, 143, 272, 128, 285, 141, 267, 123, 284, 140, 266)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 27)(10, 30)(11, 31)(12, 32)(14, 28)(16, 29)(17, 38)(18, 43)(20, 48)(21, 49)(22, 51)(23, 52)(24, 53)(26, 50)(33, 46)(34, 47)(35, 44)(36, 42)(37, 64)(39, 67)(40, 56)(41, 55)(45, 71)(54, 70)(57, 81)(58, 83)(59, 84)(60, 82)(61, 72)(62, 87)(63, 86)(65, 88)(66, 85)(68, 69)(73, 89)(74, 91)(75, 92)(76, 90)(77, 95)(78, 94)(79, 96)(80, 93)(97, 113)(98, 115)(99, 116)(100, 114)(101, 119)(102, 118)(103, 120)(104, 117)(105, 121)(106, 123)(107, 124)(108, 122)(109, 127)(110, 126)(111, 128)(112, 125)(129, 141)(130, 137)(131, 143)(132, 144)(133, 140)(134, 139)(135, 138)(136, 142)(145, 148)(146, 152)(147, 154)(149, 160)(150, 164)(151, 166)(153, 172)(155, 176)(156, 178)(157, 180)(158, 181)(159, 179)(161, 177)(162, 188)(163, 190)(165, 194)(167, 197)(168, 198)(169, 199)(170, 200)(171, 189)(173, 187)(174, 186)(175, 205)(182, 192)(183, 196)(184, 212)(185, 195)(191, 216)(193, 213)(201, 226)(202, 228)(203, 229)(204, 230)(206, 227)(207, 232)(208, 215)(209, 225)(210, 231)(211, 214)(217, 234)(218, 236)(219, 237)(220, 238)(221, 235)(222, 240)(223, 233)(224, 239)(241, 258)(242, 260)(243, 261)(244, 262)(245, 259)(246, 264)(247, 257)(248, 263)(249, 266)(250, 268)(251, 269)(252, 270)(253, 267)(254, 272)(255, 265)(256, 271)(273, 288)(274, 287)(275, 286)(276, 283)(277, 281)(278, 282)(279, 285)(280, 284)
	local type(s) :: { ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E28.2572
Transitivity :: VT+ AT
Graph::
	v = 18 e = 144 f = 72
	degree seq :: [ 16^18 ]

E28.2576 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 8})
Quotient :: edge^2
Aut^+ = (Q8 : C9) : C2 (small group id <144, 32>)
Aut   = $<288, 340>$ (small group id <288, 340>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1)^4, (Y2 * Y1 * Y2 * Y3 * Y1)^2, Y2 * Y3 * Y2 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1, Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y3 * Y1 * Y2, Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1, (Y3 * Y2)^9 ]
Map:: polytopal
	R = (1, 145, 4, 148)(2, 146, 6, 150)(3, 147, 8, 152)(5, 149, 12, 156)(7, 151, 16, 160)(9, 153, 20, 164)(10, 154, 22, 166)(11, 155, 24, 168)(13, 157, 28, 172)(14, 158, 30, 174)(15, 159, 31, 175)(17, 161, 35, 179)(18, 162, 37, 181)(19, 163, 39, 183)(21, 165, 43, 187)(23, 167, 46, 190)(25, 169, 50, 194)(26, 170, 52, 196)(27, 171, 54, 198)(29, 173, 58, 202)(32, 176, 61, 205)(33, 177, 62, 206)(34, 178, 63, 207)(36, 180, 65, 209)(38, 182, 67, 211)(40, 184, 68, 212)(41, 185, 69, 213)(42, 186, 70, 214)(44, 188, 71, 215)(45, 189, 72, 216)(47, 191, 73, 217)(48, 192, 74, 218)(49, 193, 75, 219)(51, 195, 77, 221)(53, 197, 79, 223)(55, 199, 80, 224)(56, 200, 81, 225)(57, 201, 82, 226)(59, 203, 83, 227)(60, 204, 84, 228)(64, 208, 87, 231)(66, 210, 88, 232)(76, 220, 97, 241)(78, 222, 98, 242)(85, 229, 105, 249)(86, 230, 106, 250)(89, 233, 109, 253)(90, 234, 110, 254)(91, 235, 111, 255)(92, 236, 112, 256)(93, 237, 113, 257)(94, 238, 114, 258)(95, 239, 115, 259)(96, 240, 116, 260)(99, 243, 119, 263)(100, 244, 120, 264)(101, 245, 121, 265)(102, 246, 122, 266)(103, 247, 123, 267)(104, 248, 124, 268)(107, 251, 125, 269)(108, 252, 126, 270)(117, 261, 135, 279)(118, 262, 136, 280)(127, 271, 137, 281)(128, 272, 140, 284)(129, 273, 144, 288)(130, 274, 138, 282)(131, 275, 142, 286)(132, 276, 141, 285)(133, 277, 143, 287)(134, 278, 139, 283)(289, 290)(291, 295)(292, 297)(293, 299)(294, 301)(296, 305)(298, 309)(300, 313)(302, 317)(303, 311)(304, 320)(306, 324)(307, 326)(308, 328)(310, 332)(312, 335)(314, 339)(315, 341)(316, 343)(318, 347)(319, 345)(321, 337)(322, 336)(323, 352)(325, 354)(327, 351)(329, 350)(330, 334)(331, 353)(333, 349)(338, 364)(340, 366)(342, 363)(344, 362)(346, 365)(348, 361)(355, 373)(356, 377)(357, 379)(358, 374)(359, 381)(360, 382)(367, 383)(368, 387)(369, 389)(370, 384)(371, 391)(372, 392)(375, 388)(376, 396)(378, 385)(380, 393)(386, 406)(390, 403)(394, 405)(395, 404)(397, 415)(398, 417)(399, 419)(400, 420)(401, 416)(402, 422)(407, 425)(408, 427)(409, 429)(410, 430)(411, 426)(412, 432)(413, 431)(414, 428)(418, 424)(421, 423)(433, 435)(434, 437)(436, 442)(438, 446)(439, 447)(440, 450)(441, 451)(443, 455)(444, 458)(445, 459)(448, 465)(449, 466)(452, 473)(453, 474)(454, 477)(456, 480)(457, 481)(460, 488)(461, 489)(462, 492)(463, 485)(464, 483)(467, 491)(468, 479)(469, 487)(470, 478)(471, 486)(472, 484)(475, 490)(476, 482)(493, 517)(494, 518)(495, 509)(496, 511)(497, 507)(498, 514)(499, 508)(500, 522)(501, 524)(502, 510)(503, 523)(504, 521)(505, 527)(506, 528)(512, 532)(513, 534)(515, 533)(516, 531)(519, 539)(520, 535)(525, 530)(526, 538)(529, 549)(536, 548)(537, 550)(540, 547)(541, 560)(542, 562)(543, 561)(544, 559)(545, 565)(546, 563)(551, 570)(552, 572)(553, 571)(554, 569)(555, 575)(556, 573)(557, 574)(558, 576)(564, 567)(566, 568)
	L = (1, 289)(2, 290)(3, 291)(4, 292)(5, 293)(6, 294)(7, 295)(8, 296)(9, 297)(10, 298)(11, 299)(12, 300)(13, 301)(14, 302)(15, 303)(16, 304)(17, 305)(18, 306)(19, 307)(20, 308)(21, 309)(22, 310)(23, 311)(24, 312)(25, 313)(26, 314)(27, 315)(28, 316)(29, 317)(30, 318)(31, 319)(32, 320)(33, 321)(34, 322)(35, 323)(36, 324)(37, 325)(38, 326)(39, 327)(40, 328)(41, 329)(42, 330)(43, 331)(44, 332)(45, 333)(46, 334)(47, 335)(48, 336)(49, 337)(50, 338)(51, 339)(52, 340)(53, 341)(54, 342)(55, 343)(56, 344)(57, 345)(58, 346)(59, 347)(60, 348)(61, 349)(62, 350)(63, 351)(64, 352)(65, 353)(66, 354)(67, 355)(68, 356)(69, 357)(70, 358)(71, 359)(72, 360)(73, 361)(74, 362)(75, 363)(76, 364)(77, 365)(78, 366)(79, 367)(80, 368)(81, 369)(82, 370)(83, 371)(84, 372)(85, 373)(86, 374)(87, 375)(88, 376)(89, 377)(90, 378)(91, 379)(92, 380)(93, 381)(94, 382)(95, 383)(96, 384)(97, 385)(98, 386)(99, 387)(100, 388)(101, 389)(102, 390)(103, 391)(104, 392)(105, 393)(106, 394)(107, 395)(108, 396)(109, 397)(110, 398)(111, 399)(112, 400)(113, 401)(114, 402)(115, 403)(116, 404)(117, 405)(118, 406)(119, 407)(120, 408)(121, 409)(122, 410)(123, 411)(124, 412)(125, 413)(126, 414)(127, 415)(128, 416)(129, 417)(130, 418)(131, 419)(132, 420)(133, 421)(134, 422)(135, 423)(136, 424)(137, 425)(138, 426)(139, 427)(140, 428)(141, 429)(142, 430)(143, 431)(144, 432)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 32, 32 ), ( 32^4 ) }
Outer automorphisms :: reflexible
Dual of E28.2583
Graph:: simple bipartite
	v = 216 e = 288 f = 18
	degree seq :: [ 2^144, 4^72 ]

E28.2577 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 8})
Quotient :: edge^2
Aut^+ = (Q8 : C9) : C2 (small group id <144, 32>)
Aut   = $<288, 340>$ (small group id <288, 340>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y1 * Y2)^4, (Y2 * Y1 * Y2 * Y3 * Y1)^2, Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y3 * Y1 * Y2, Y2 * Y3 * Y2 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 ]
Map:: polytopal
	R = (1, 145, 4, 148)(2, 146, 6, 150)(3, 147, 8, 152)(5, 149, 12, 156)(7, 151, 16, 160)(9, 153, 20, 164)(10, 154, 22, 166)(11, 155, 24, 168)(13, 157, 28, 172)(14, 158, 30, 174)(15, 159, 31, 175)(17, 161, 35, 179)(18, 162, 37, 181)(19, 163, 39, 183)(21, 165, 43, 187)(23, 167, 46, 190)(25, 169, 50, 194)(26, 170, 52, 196)(27, 171, 54, 198)(29, 173, 58, 202)(32, 176, 61, 205)(33, 177, 62, 206)(34, 178, 63, 207)(36, 180, 65, 209)(38, 182, 67, 211)(40, 184, 68, 212)(41, 185, 69, 213)(42, 186, 70, 214)(44, 188, 71, 215)(45, 189, 72, 216)(47, 191, 73, 217)(48, 192, 74, 218)(49, 193, 75, 219)(51, 195, 77, 221)(53, 197, 79, 223)(55, 199, 80, 224)(56, 200, 81, 225)(57, 201, 82, 226)(59, 203, 83, 227)(60, 204, 84, 228)(64, 208, 87, 231)(66, 210, 88, 232)(76, 220, 97, 241)(78, 222, 98, 242)(85, 229, 105, 249)(86, 230, 106, 250)(89, 233, 109, 253)(90, 234, 110, 254)(91, 235, 111, 255)(92, 236, 112, 256)(93, 237, 113, 257)(94, 238, 114, 258)(95, 239, 115, 259)(96, 240, 116, 260)(99, 243, 119, 263)(100, 244, 120, 264)(101, 245, 121, 265)(102, 246, 122, 266)(103, 247, 123, 267)(104, 248, 124, 268)(107, 251, 125, 269)(108, 252, 126, 270)(117, 261, 135, 279)(118, 262, 136, 280)(127, 271, 143, 287)(128, 272, 141, 285)(129, 273, 139, 283)(130, 274, 142, 286)(131, 275, 138, 282)(132, 276, 140, 284)(133, 277, 137, 281)(134, 278, 144, 288)(289, 290)(291, 295)(292, 297)(293, 299)(294, 301)(296, 305)(298, 309)(300, 313)(302, 317)(303, 311)(304, 320)(306, 324)(307, 326)(308, 328)(310, 332)(312, 335)(314, 339)(315, 341)(316, 343)(318, 347)(319, 345)(321, 337)(322, 336)(323, 352)(325, 354)(327, 351)(329, 350)(330, 334)(331, 353)(333, 349)(338, 364)(340, 366)(342, 363)(344, 362)(346, 365)(348, 361)(355, 373)(356, 377)(357, 379)(358, 374)(359, 381)(360, 382)(367, 383)(368, 387)(369, 389)(370, 384)(371, 391)(372, 392)(375, 388)(376, 396)(378, 385)(380, 393)(386, 406)(390, 403)(394, 405)(395, 404)(397, 415)(398, 417)(399, 419)(400, 420)(401, 416)(402, 422)(407, 425)(408, 427)(409, 429)(410, 430)(411, 426)(412, 432)(413, 431)(414, 428)(418, 424)(421, 423)(433, 435)(434, 437)(436, 442)(438, 446)(439, 447)(440, 450)(441, 451)(443, 455)(444, 458)(445, 459)(448, 465)(449, 466)(452, 473)(453, 474)(454, 477)(456, 480)(457, 481)(460, 488)(461, 489)(462, 492)(463, 485)(464, 483)(467, 491)(468, 479)(469, 487)(470, 478)(471, 486)(472, 484)(475, 490)(476, 482)(493, 517)(494, 518)(495, 509)(496, 511)(497, 507)(498, 514)(499, 508)(500, 522)(501, 524)(502, 510)(503, 523)(504, 521)(505, 527)(506, 528)(512, 532)(513, 534)(515, 533)(516, 531)(519, 539)(520, 535)(525, 530)(526, 538)(529, 549)(536, 548)(537, 550)(540, 547)(541, 560)(542, 562)(543, 561)(544, 559)(545, 565)(546, 563)(551, 570)(552, 572)(553, 571)(554, 569)(555, 575)(556, 573)(557, 574)(558, 576)(564, 567)(566, 568)
	L = (1, 289)(2, 290)(3, 291)(4, 292)(5, 293)(6, 294)(7, 295)(8, 296)(9, 297)(10, 298)(11, 299)(12, 300)(13, 301)(14, 302)(15, 303)(16, 304)(17, 305)(18, 306)(19, 307)(20, 308)(21, 309)(22, 310)(23, 311)(24, 312)(25, 313)(26, 314)(27, 315)(28, 316)(29, 317)(30, 318)(31, 319)(32, 320)(33, 321)(34, 322)(35, 323)(36, 324)(37, 325)(38, 326)(39, 327)(40, 328)(41, 329)(42, 330)(43, 331)(44, 332)(45, 333)(46, 334)(47, 335)(48, 336)(49, 337)(50, 338)(51, 339)(52, 340)(53, 341)(54, 342)(55, 343)(56, 344)(57, 345)(58, 346)(59, 347)(60, 348)(61, 349)(62, 350)(63, 351)(64, 352)(65, 353)(66, 354)(67, 355)(68, 356)(69, 357)(70, 358)(71, 359)(72, 360)(73, 361)(74, 362)(75, 363)(76, 364)(77, 365)(78, 366)(79, 367)(80, 368)(81, 369)(82, 370)(83, 371)(84, 372)(85, 373)(86, 374)(87, 375)(88, 376)(89, 377)(90, 378)(91, 379)(92, 380)(93, 381)(94, 382)(95, 383)(96, 384)(97, 385)(98, 386)(99, 387)(100, 388)(101, 389)(102, 390)(103, 391)(104, 392)(105, 393)(106, 394)(107, 395)(108, 396)(109, 397)(110, 398)(111, 399)(112, 400)(113, 401)(114, 402)(115, 403)(116, 404)(117, 405)(118, 406)(119, 407)(120, 408)(121, 409)(122, 410)(123, 411)(124, 412)(125, 413)(126, 414)(127, 415)(128, 416)(129, 417)(130, 418)(131, 419)(132, 420)(133, 421)(134, 422)(135, 423)(136, 424)(137, 425)(138, 426)(139, 427)(140, 428)(141, 429)(142, 430)(143, 431)(144, 432)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 32, 32 ), ( 32^4 ) }
Outer automorphisms :: reflexible
Dual of E28.2582
Graph:: simple bipartite
	v = 216 e = 288 f = 18
	degree seq :: [ 2^144, 4^72 ]

E28.2578 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 8})
Quotient :: edge^2
Aut^+ = (Q8 : C9) : C2 (small group id <144, 32>)
Aut   = $<288, 340>$ (small group id <288, 340>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y1 * Y3^2 * Y2 * Y3^-1, (Y1 * Y3^-1 * Y2)^2, Y3^-1 * Y2 * Y3^2 * Y1 * Y3^-1, (Y3^-1 * Y1 * Y2)^2, Y2 * Y3^-1 * Y2 * Y1 * Y3^3 * Y1, (Y2 * Y1)^4, Y3^8, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal
	R = (1, 145, 4, 148, 14, 158, 38, 182, 42, 186, 41, 185, 17, 161, 5, 149)(2, 146, 7, 151, 23, 167, 53, 197, 27, 171, 56, 200, 26, 170, 8, 152)(3, 147, 10, 154, 31, 175, 44, 188, 18, 162, 43, 187, 33, 177, 11, 155)(6, 150, 19, 163, 46, 190, 29, 173, 9, 153, 28, 172, 48, 192, 20, 164)(12, 156, 34, 178, 57, 201, 72, 216, 47, 191, 40, 184, 16, 160, 35, 179)(13, 157, 36, 180, 45, 189, 71, 215, 58, 202, 39, 183, 15, 159, 37, 181)(21, 165, 49, 193, 69, 213, 60, 204, 32, 176, 55, 199, 25, 169, 50, 194)(22, 166, 51, 195, 30, 174, 59, 203, 70, 214, 54, 198, 24, 168, 52, 196)(61, 205, 81, 225, 67, 211, 88, 232, 66, 210, 86, 230, 64, 208, 82, 226)(62, 206, 83, 227, 65, 209, 87, 231, 68, 212, 85, 229, 63, 207, 84, 228)(73, 217, 89, 233, 79, 223, 96, 240, 78, 222, 94, 238, 76, 220, 90, 234)(74, 218, 91, 235, 77, 221, 95, 239, 80, 224, 93, 237, 75, 219, 92, 236)(97, 241, 113, 257, 103, 247, 120, 264, 102, 246, 118, 262, 100, 244, 114, 258)(98, 242, 115, 259, 101, 245, 119, 263, 104, 248, 117, 261, 99, 243, 116, 260)(105, 249, 121, 265, 111, 255, 128, 272, 110, 254, 126, 270, 108, 252, 122, 266)(106, 250, 123, 267, 109, 253, 127, 271, 112, 256, 125, 269, 107, 251, 124, 268)(129, 273, 141, 285, 135, 279, 144, 288, 134, 278, 139, 283, 132, 276, 138, 282)(130, 274, 137, 281, 133, 277, 143, 287, 136, 280, 142, 286, 131, 275, 140, 284)(289, 290)(291, 297)(292, 300)(293, 303)(294, 306)(295, 309)(296, 312)(298, 313)(299, 310)(301, 308)(302, 319)(304, 307)(305, 321)(311, 334)(314, 336)(315, 330)(316, 345)(317, 346)(318, 341)(320, 344)(322, 349)(323, 351)(324, 352)(325, 350)(326, 333)(327, 355)(328, 354)(329, 335)(331, 357)(332, 358)(337, 361)(338, 363)(339, 364)(340, 362)(342, 367)(343, 366)(347, 368)(348, 365)(353, 360)(356, 359)(369, 385)(370, 387)(371, 388)(372, 386)(373, 391)(374, 390)(375, 392)(376, 389)(377, 393)(378, 395)(379, 396)(380, 394)(381, 399)(382, 398)(383, 400)(384, 397)(401, 417)(402, 419)(403, 420)(404, 418)(405, 423)(406, 422)(407, 424)(408, 421)(409, 425)(410, 427)(411, 428)(412, 426)(413, 431)(414, 430)(415, 432)(416, 429)(433, 435)(434, 438)(436, 445)(437, 448)(439, 454)(440, 457)(441, 459)(442, 462)(443, 464)(444, 461)(446, 455)(447, 460)(449, 458)(450, 474)(451, 477)(452, 479)(453, 476)(456, 475)(463, 480)(465, 478)(466, 494)(467, 496)(468, 497)(469, 498)(470, 489)(471, 495)(472, 500)(473, 490)(481, 506)(482, 508)(483, 509)(484, 510)(485, 501)(486, 507)(487, 512)(488, 502)(491, 505)(492, 511)(493, 503)(499, 504)(513, 530)(514, 532)(515, 533)(516, 534)(517, 531)(518, 536)(519, 529)(520, 535)(521, 538)(522, 540)(523, 541)(524, 542)(525, 539)(526, 544)(527, 537)(528, 543)(545, 562)(546, 564)(547, 565)(548, 566)(549, 563)(550, 568)(551, 561)(552, 567)(553, 570)(554, 572)(555, 573)(556, 574)(557, 571)(558, 576)(559, 569)(560, 575)
	L = (1, 289)(2, 290)(3, 291)(4, 292)(5, 293)(6, 294)(7, 295)(8, 296)(9, 297)(10, 298)(11, 299)(12, 300)(13, 301)(14, 302)(15, 303)(16, 304)(17, 305)(18, 306)(19, 307)(20, 308)(21, 309)(22, 310)(23, 311)(24, 312)(25, 313)(26, 314)(27, 315)(28, 316)(29, 317)(30, 318)(31, 319)(32, 320)(33, 321)(34, 322)(35, 323)(36, 324)(37, 325)(38, 326)(39, 327)(40, 328)(41, 329)(42, 330)(43, 331)(44, 332)(45, 333)(46, 334)(47, 335)(48, 336)(49, 337)(50, 338)(51, 339)(52, 340)(53, 341)(54, 342)(55, 343)(56, 344)(57, 345)(58, 346)(59, 347)(60, 348)(61, 349)(62, 350)(63, 351)(64, 352)(65, 353)(66, 354)(67, 355)(68, 356)(69, 357)(70, 358)(71, 359)(72, 360)(73, 361)(74, 362)(75, 363)(76, 364)(77, 365)(78, 366)(79, 367)(80, 368)(81, 369)(82, 370)(83, 371)(84, 372)(85, 373)(86, 374)(87, 375)(88, 376)(89, 377)(90, 378)(91, 379)(92, 380)(93, 381)(94, 382)(95, 383)(96, 384)(97, 385)(98, 386)(99, 387)(100, 388)(101, 389)(102, 390)(103, 391)(104, 392)(105, 393)(106, 394)(107, 395)(108, 396)(109, 397)(110, 398)(111, 399)(112, 400)(113, 401)(114, 402)(115, 403)(116, 404)(117, 405)(118, 406)(119, 407)(120, 408)(121, 409)(122, 410)(123, 411)(124, 412)(125, 413)(126, 414)(127, 415)(128, 416)(129, 417)(130, 418)(131, 419)(132, 420)(133, 421)(134, 422)(135, 423)(136, 424)(137, 425)(138, 426)(139, 427)(140, 428)(141, 429)(142, 430)(143, 431)(144, 432)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 8, 8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E28.2581
Graph:: simple bipartite
	v = 162 e = 288 f = 72
	degree seq :: [ 2^144, 16^18 ]

E28.2579 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 8})
Quotient :: edge^2
Aut^+ = (Q8 : C9) : C2 (small group id <144, 32>)
Aut   = $<288, 340>$ (small group id <288, 340>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y1 * Y3^2 * Y2 * Y3^-1, (Y1 * Y3^-1 * Y2)^2, Y3^-1 * Y2 * Y3^2 * Y1 * Y3^-1, (Y3^-1 * Y1 * Y2)^2, Y1 * Y2 * Y3 * Y2 * Y1 * Y3^-3, Y3^8, (Y2 * Y1)^4, (Y3^-3 * Y1 * Y3^-1)^2, Y3 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y1 ]
Map:: polytopal
	R = (1, 145, 4, 148, 14, 158, 38, 182, 42, 186, 41, 185, 17, 161, 5, 149)(2, 146, 7, 151, 23, 167, 53, 197, 27, 171, 56, 200, 26, 170, 8, 152)(3, 147, 10, 154, 31, 175, 44, 188, 18, 162, 43, 187, 33, 177, 11, 155)(6, 150, 19, 163, 46, 190, 29, 173, 9, 153, 28, 172, 48, 192, 20, 164)(12, 156, 34, 178, 57, 201, 72, 216, 47, 191, 40, 184, 16, 160, 35, 179)(13, 157, 36, 180, 45, 189, 71, 215, 58, 202, 39, 183, 15, 159, 37, 181)(21, 165, 49, 193, 69, 213, 60, 204, 32, 176, 55, 199, 25, 169, 50, 194)(22, 166, 51, 195, 30, 174, 59, 203, 70, 214, 54, 198, 24, 168, 52, 196)(61, 205, 81, 225, 67, 211, 88, 232, 66, 210, 86, 230, 64, 208, 82, 226)(62, 206, 83, 227, 65, 209, 87, 231, 68, 212, 85, 229, 63, 207, 84, 228)(73, 217, 89, 233, 79, 223, 96, 240, 78, 222, 94, 238, 76, 220, 90, 234)(74, 218, 91, 235, 77, 221, 95, 239, 80, 224, 93, 237, 75, 219, 92, 236)(97, 241, 113, 257, 103, 247, 120, 264, 102, 246, 118, 262, 100, 244, 114, 258)(98, 242, 115, 259, 101, 245, 119, 263, 104, 248, 117, 261, 99, 243, 116, 260)(105, 249, 121, 265, 111, 255, 128, 272, 110, 254, 126, 270, 108, 252, 122, 266)(106, 250, 123, 267, 109, 253, 127, 271, 112, 256, 125, 269, 107, 251, 124, 268)(129, 273, 139, 283, 135, 279, 138, 282, 134, 278, 141, 285, 132, 276, 144, 288)(130, 274, 142, 286, 133, 277, 140, 284, 136, 280, 137, 281, 131, 275, 143, 287)(289, 290)(291, 297)(292, 300)(293, 303)(294, 306)(295, 309)(296, 312)(298, 313)(299, 310)(301, 308)(302, 319)(304, 307)(305, 321)(311, 334)(314, 336)(315, 330)(316, 345)(317, 346)(318, 341)(320, 344)(322, 349)(323, 351)(324, 352)(325, 350)(326, 333)(327, 355)(328, 354)(329, 335)(331, 357)(332, 358)(337, 361)(338, 363)(339, 364)(340, 362)(342, 367)(343, 366)(347, 368)(348, 365)(353, 360)(356, 359)(369, 385)(370, 387)(371, 388)(372, 386)(373, 391)(374, 390)(375, 392)(376, 389)(377, 393)(378, 395)(379, 396)(380, 394)(381, 399)(382, 398)(383, 400)(384, 397)(401, 417)(402, 419)(403, 420)(404, 418)(405, 423)(406, 422)(407, 424)(408, 421)(409, 425)(410, 427)(411, 428)(412, 426)(413, 431)(414, 430)(415, 432)(416, 429)(433, 435)(434, 438)(436, 445)(437, 448)(439, 454)(440, 457)(441, 459)(442, 462)(443, 464)(444, 461)(446, 455)(447, 460)(449, 458)(450, 474)(451, 477)(452, 479)(453, 476)(456, 475)(463, 480)(465, 478)(466, 494)(467, 496)(468, 497)(469, 498)(470, 489)(471, 495)(472, 500)(473, 490)(481, 506)(482, 508)(483, 509)(484, 510)(485, 501)(486, 507)(487, 512)(488, 502)(491, 505)(492, 511)(493, 503)(499, 504)(513, 530)(514, 532)(515, 533)(516, 534)(517, 531)(518, 536)(519, 529)(520, 535)(521, 538)(522, 540)(523, 541)(524, 542)(525, 539)(526, 544)(527, 537)(528, 543)(545, 562)(546, 564)(547, 565)(548, 566)(549, 563)(550, 568)(551, 561)(552, 567)(553, 570)(554, 572)(555, 573)(556, 574)(557, 571)(558, 576)(559, 569)(560, 575)
	L = (1, 289)(2, 290)(3, 291)(4, 292)(5, 293)(6, 294)(7, 295)(8, 296)(9, 297)(10, 298)(11, 299)(12, 300)(13, 301)(14, 302)(15, 303)(16, 304)(17, 305)(18, 306)(19, 307)(20, 308)(21, 309)(22, 310)(23, 311)(24, 312)(25, 313)(26, 314)(27, 315)(28, 316)(29, 317)(30, 318)(31, 319)(32, 320)(33, 321)(34, 322)(35, 323)(36, 324)(37, 325)(38, 326)(39, 327)(40, 328)(41, 329)(42, 330)(43, 331)(44, 332)(45, 333)(46, 334)(47, 335)(48, 336)(49, 337)(50, 338)(51, 339)(52, 340)(53, 341)(54, 342)(55, 343)(56, 344)(57, 345)(58, 346)(59, 347)(60, 348)(61, 349)(62, 350)(63, 351)(64, 352)(65, 353)(66, 354)(67, 355)(68, 356)(69, 357)(70, 358)(71, 359)(72, 360)(73, 361)(74, 362)(75, 363)(76, 364)(77, 365)(78, 366)(79, 367)(80, 368)(81, 369)(82, 370)(83, 371)(84, 372)(85, 373)(86, 374)(87, 375)(88, 376)(89, 377)(90, 378)(91, 379)(92, 380)(93, 381)(94, 382)(95, 383)(96, 384)(97, 385)(98, 386)(99, 387)(100, 388)(101, 389)(102, 390)(103, 391)(104, 392)(105, 393)(106, 394)(107, 395)(108, 396)(109, 397)(110, 398)(111, 399)(112, 400)(113, 401)(114, 402)(115, 403)(116, 404)(117, 405)(118, 406)(119, 407)(120, 408)(121, 409)(122, 410)(123, 411)(124, 412)(125, 413)(126, 414)(127, 415)(128, 416)(129, 417)(130, 418)(131, 419)(132, 420)(133, 421)(134, 422)(135, 423)(136, 424)(137, 425)(138, 426)(139, 427)(140, 428)(141, 429)(142, 430)(143, 431)(144, 432)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 8, 8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E28.2580
Graph:: simple bipartite
	v = 162 e = 288 f = 72
	degree seq :: [ 2^144, 16^18 ]

E28.2580 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 8})
Quotient :: loop^2
Aut^+ = (Q8 : C9) : C2 (small group id <144, 32>)
Aut   = $<288, 340>$ (small group id <288, 340>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1)^4, (Y2 * Y1 * Y2 * Y3 * Y1)^2, Y2 * Y3 * Y2 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1, Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y3 * Y1 * Y2, Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1, (Y3 * Y2)^9 ]
Map::
	R = (1, 145, 289, 433, 4, 148, 292, 436)(2, 146, 290, 434, 6, 150, 294, 438)(3, 147, 291, 435, 8, 152, 296, 440)(5, 149, 293, 437, 12, 156, 300, 444)(7, 151, 295, 439, 16, 160, 304, 448)(9, 153, 297, 441, 20, 164, 308, 452)(10, 154, 298, 442, 22, 166, 310, 454)(11, 155, 299, 443, 24, 168, 312, 456)(13, 157, 301, 445, 28, 172, 316, 460)(14, 158, 302, 446, 30, 174, 318, 462)(15, 159, 303, 447, 31, 175, 319, 463)(17, 161, 305, 449, 35, 179, 323, 467)(18, 162, 306, 450, 37, 181, 325, 469)(19, 163, 307, 451, 39, 183, 327, 471)(21, 165, 309, 453, 43, 187, 331, 475)(23, 167, 311, 455, 46, 190, 334, 478)(25, 169, 313, 457, 50, 194, 338, 482)(26, 170, 314, 458, 52, 196, 340, 484)(27, 171, 315, 459, 54, 198, 342, 486)(29, 173, 317, 461, 58, 202, 346, 490)(32, 176, 320, 464, 61, 205, 349, 493)(33, 177, 321, 465, 62, 206, 350, 494)(34, 178, 322, 466, 63, 207, 351, 495)(36, 180, 324, 468, 65, 209, 353, 497)(38, 182, 326, 470, 67, 211, 355, 499)(40, 184, 328, 472, 68, 212, 356, 500)(41, 185, 329, 473, 69, 213, 357, 501)(42, 186, 330, 474, 70, 214, 358, 502)(44, 188, 332, 476, 71, 215, 359, 503)(45, 189, 333, 477, 72, 216, 360, 504)(47, 191, 335, 479, 73, 217, 361, 505)(48, 192, 336, 480, 74, 218, 362, 506)(49, 193, 337, 481, 75, 219, 363, 507)(51, 195, 339, 483, 77, 221, 365, 509)(53, 197, 341, 485, 79, 223, 367, 511)(55, 199, 343, 487, 80, 224, 368, 512)(56, 200, 344, 488, 81, 225, 369, 513)(57, 201, 345, 489, 82, 226, 370, 514)(59, 203, 347, 491, 83, 227, 371, 515)(60, 204, 348, 492, 84, 228, 372, 516)(64, 208, 352, 496, 87, 231, 375, 519)(66, 210, 354, 498, 88, 232, 376, 520)(76, 220, 364, 508, 97, 241, 385, 529)(78, 222, 366, 510, 98, 242, 386, 530)(85, 229, 373, 517, 105, 249, 393, 537)(86, 230, 374, 518, 106, 250, 394, 538)(89, 233, 377, 521, 109, 253, 397, 541)(90, 234, 378, 522, 110, 254, 398, 542)(91, 235, 379, 523, 111, 255, 399, 543)(92, 236, 380, 524, 112, 256, 400, 544)(93, 237, 381, 525, 113, 257, 401, 545)(94, 238, 382, 526, 114, 258, 402, 546)(95, 239, 383, 527, 115, 259, 403, 547)(96, 240, 384, 528, 116, 260, 404, 548)(99, 243, 387, 531, 119, 263, 407, 551)(100, 244, 388, 532, 120, 264, 408, 552)(101, 245, 389, 533, 121, 265, 409, 553)(102, 246, 390, 534, 122, 266, 410, 554)(103, 247, 391, 535, 123, 267, 411, 555)(104, 248, 392, 536, 124, 268, 412, 556)(107, 251, 395, 539, 125, 269, 413, 557)(108, 252, 396, 540, 126, 270, 414, 558)(117, 261, 405, 549, 135, 279, 423, 567)(118, 262, 406, 550, 136, 280, 424, 568)(127, 271, 415, 559, 137, 281, 425, 569)(128, 272, 416, 560, 140, 284, 428, 572)(129, 273, 417, 561, 144, 288, 432, 576)(130, 274, 418, 562, 138, 282, 426, 570)(131, 275, 419, 563, 142, 286, 430, 574)(132, 276, 420, 564, 141, 285, 429, 573)(133, 277, 421, 565, 143, 287, 431, 575)(134, 278, 422, 566, 139, 283, 427, 571)
	L = (1, 146)(2, 145)(3, 151)(4, 153)(5, 155)(6, 157)(7, 147)(8, 161)(9, 148)(10, 165)(11, 149)(12, 169)(13, 150)(14, 173)(15, 167)(16, 176)(17, 152)(18, 180)(19, 182)(20, 184)(21, 154)(22, 188)(23, 159)(24, 191)(25, 156)(26, 195)(27, 197)(28, 199)(29, 158)(30, 203)(31, 201)(32, 160)(33, 193)(34, 192)(35, 208)(36, 162)(37, 210)(38, 163)(39, 207)(40, 164)(41, 206)(42, 190)(43, 209)(44, 166)(45, 205)(46, 186)(47, 168)(48, 178)(49, 177)(50, 220)(51, 170)(52, 222)(53, 171)(54, 219)(55, 172)(56, 218)(57, 175)(58, 221)(59, 174)(60, 217)(61, 189)(62, 185)(63, 183)(64, 179)(65, 187)(66, 181)(67, 229)(68, 233)(69, 235)(70, 230)(71, 237)(72, 238)(73, 204)(74, 200)(75, 198)(76, 194)(77, 202)(78, 196)(79, 239)(80, 243)(81, 245)(82, 240)(83, 247)(84, 248)(85, 211)(86, 214)(87, 244)(88, 252)(89, 212)(90, 241)(91, 213)(92, 249)(93, 215)(94, 216)(95, 223)(96, 226)(97, 234)(98, 262)(99, 224)(100, 231)(101, 225)(102, 259)(103, 227)(104, 228)(105, 236)(106, 261)(107, 260)(108, 232)(109, 271)(110, 273)(111, 275)(112, 276)(113, 272)(114, 278)(115, 246)(116, 251)(117, 250)(118, 242)(119, 281)(120, 283)(121, 285)(122, 286)(123, 282)(124, 288)(125, 287)(126, 284)(127, 253)(128, 257)(129, 254)(130, 280)(131, 255)(132, 256)(133, 279)(134, 258)(135, 277)(136, 274)(137, 263)(138, 267)(139, 264)(140, 270)(141, 265)(142, 266)(143, 269)(144, 268)(289, 435)(290, 437)(291, 433)(292, 442)(293, 434)(294, 446)(295, 447)(296, 450)(297, 451)(298, 436)(299, 455)(300, 458)(301, 459)(302, 438)(303, 439)(304, 465)(305, 466)(306, 440)(307, 441)(308, 473)(309, 474)(310, 477)(311, 443)(312, 480)(313, 481)(314, 444)(315, 445)(316, 488)(317, 489)(318, 492)(319, 485)(320, 483)(321, 448)(322, 449)(323, 491)(324, 479)(325, 487)(326, 478)(327, 486)(328, 484)(329, 452)(330, 453)(331, 490)(332, 482)(333, 454)(334, 470)(335, 468)(336, 456)(337, 457)(338, 476)(339, 464)(340, 472)(341, 463)(342, 471)(343, 469)(344, 460)(345, 461)(346, 475)(347, 467)(348, 462)(349, 517)(350, 518)(351, 509)(352, 511)(353, 507)(354, 514)(355, 508)(356, 522)(357, 524)(358, 510)(359, 523)(360, 521)(361, 527)(362, 528)(363, 497)(364, 499)(365, 495)(366, 502)(367, 496)(368, 532)(369, 534)(370, 498)(371, 533)(372, 531)(373, 493)(374, 494)(375, 539)(376, 535)(377, 504)(378, 500)(379, 503)(380, 501)(381, 530)(382, 538)(383, 505)(384, 506)(385, 549)(386, 525)(387, 516)(388, 512)(389, 515)(390, 513)(391, 520)(392, 548)(393, 550)(394, 526)(395, 519)(396, 547)(397, 560)(398, 562)(399, 561)(400, 559)(401, 565)(402, 563)(403, 540)(404, 536)(405, 529)(406, 537)(407, 570)(408, 572)(409, 571)(410, 569)(411, 575)(412, 573)(413, 574)(414, 576)(415, 544)(416, 541)(417, 543)(418, 542)(419, 546)(420, 567)(421, 545)(422, 568)(423, 564)(424, 566)(425, 554)(426, 551)(427, 553)(428, 552)(429, 556)(430, 557)(431, 555)(432, 558)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.2579
Transitivity :: VT+
Graph::
	v = 72 e = 288 f = 162
	degree seq :: [ 8^72 ]

E28.2581 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 8})
Quotient :: loop^2
Aut^+ = (Q8 : C9) : C2 (small group id <144, 32>)
Aut   = $<288, 340>$ (small group id <288, 340>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y1 * Y2)^4, (Y2 * Y1 * Y2 * Y3 * Y1)^2, Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y3 * Y1 * Y2, Y2 * Y3 * Y2 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 ]
Map::
	R = (1, 145, 289, 433, 4, 148, 292, 436)(2, 146, 290, 434, 6, 150, 294, 438)(3, 147, 291, 435, 8, 152, 296, 440)(5, 149, 293, 437, 12, 156, 300, 444)(7, 151, 295, 439, 16, 160, 304, 448)(9, 153, 297, 441, 20, 164, 308, 452)(10, 154, 298, 442, 22, 166, 310, 454)(11, 155, 299, 443, 24, 168, 312, 456)(13, 157, 301, 445, 28, 172, 316, 460)(14, 158, 302, 446, 30, 174, 318, 462)(15, 159, 303, 447, 31, 175, 319, 463)(17, 161, 305, 449, 35, 179, 323, 467)(18, 162, 306, 450, 37, 181, 325, 469)(19, 163, 307, 451, 39, 183, 327, 471)(21, 165, 309, 453, 43, 187, 331, 475)(23, 167, 311, 455, 46, 190, 334, 478)(25, 169, 313, 457, 50, 194, 338, 482)(26, 170, 314, 458, 52, 196, 340, 484)(27, 171, 315, 459, 54, 198, 342, 486)(29, 173, 317, 461, 58, 202, 346, 490)(32, 176, 320, 464, 61, 205, 349, 493)(33, 177, 321, 465, 62, 206, 350, 494)(34, 178, 322, 466, 63, 207, 351, 495)(36, 180, 324, 468, 65, 209, 353, 497)(38, 182, 326, 470, 67, 211, 355, 499)(40, 184, 328, 472, 68, 212, 356, 500)(41, 185, 329, 473, 69, 213, 357, 501)(42, 186, 330, 474, 70, 214, 358, 502)(44, 188, 332, 476, 71, 215, 359, 503)(45, 189, 333, 477, 72, 216, 360, 504)(47, 191, 335, 479, 73, 217, 361, 505)(48, 192, 336, 480, 74, 218, 362, 506)(49, 193, 337, 481, 75, 219, 363, 507)(51, 195, 339, 483, 77, 221, 365, 509)(53, 197, 341, 485, 79, 223, 367, 511)(55, 199, 343, 487, 80, 224, 368, 512)(56, 200, 344, 488, 81, 225, 369, 513)(57, 201, 345, 489, 82, 226, 370, 514)(59, 203, 347, 491, 83, 227, 371, 515)(60, 204, 348, 492, 84, 228, 372, 516)(64, 208, 352, 496, 87, 231, 375, 519)(66, 210, 354, 498, 88, 232, 376, 520)(76, 220, 364, 508, 97, 241, 385, 529)(78, 222, 366, 510, 98, 242, 386, 530)(85, 229, 373, 517, 105, 249, 393, 537)(86, 230, 374, 518, 106, 250, 394, 538)(89, 233, 377, 521, 109, 253, 397, 541)(90, 234, 378, 522, 110, 254, 398, 542)(91, 235, 379, 523, 111, 255, 399, 543)(92, 236, 380, 524, 112, 256, 400, 544)(93, 237, 381, 525, 113, 257, 401, 545)(94, 238, 382, 526, 114, 258, 402, 546)(95, 239, 383, 527, 115, 259, 403, 547)(96, 240, 384, 528, 116, 260, 404, 548)(99, 243, 387, 531, 119, 263, 407, 551)(100, 244, 388, 532, 120, 264, 408, 552)(101, 245, 389, 533, 121, 265, 409, 553)(102, 246, 390, 534, 122, 266, 410, 554)(103, 247, 391, 535, 123, 267, 411, 555)(104, 248, 392, 536, 124, 268, 412, 556)(107, 251, 395, 539, 125, 269, 413, 557)(108, 252, 396, 540, 126, 270, 414, 558)(117, 261, 405, 549, 135, 279, 423, 567)(118, 262, 406, 550, 136, 280, 424, 568)(127, 271, 415, 559, 143, 287, 431, 575)(128, 272, 416, 560, 141, 285, 429, 573)(129, 273, 417, 561, 139, 283, 427, 571)(130, 274, 418, 562, 142, 286, 430, 574)(131, 275, 419, 563, 138, 282, 426, 570)(132, 276, 420, 564, 140, 284, 428, 572)(133, 277, 421, 565, 137, 281, 425, 569)(134, 278, 422, 566, 144, 288, 432, 576)
	L = (1, 146)(2, 145)(3, 151)(4, 153)(5, 155)(6, 157)(7, 147)(8, 161)(9, 148)(10, 165)(11, 149)(12, 169)(13, 150)(14, 173)(15, 167)(16, 176)(17, 152)(18, 180)(19, 182)(20, 184)(21, 154)(22, 188)(23, 159)(24, 191)(25, 156)(26, 195)(27, 197)(28, 199)(29, 158)(30, 203)(31, 201)(32, 160)(33, 193)(34, 192)(35, 208)(36, 162)(37, 210)(38, 163)(39, 207)(40, 164)(41, 206)(42, 190)(43, 209)(44, 166)(45, 205)(46, 186)(47, 168)(48, 178)(49, 177)(50, 220)(51, 170)(52, 222)(53, 171)(54, 219)(55, 172)(56, 218)(57, 175)(58, 221)(59, 174)(60, 217)(61, 189)(62, 185)(63, 183)(64, 179)(65, 187)(66, 181)(67, 229)(68, 233)(69, 235)(70, 230)(71, 237)(72, 238)(73, 204)(74, 200)(75, 198)(76, 194)(77, 202)(78, 196)(79, 239)(80, 243)(81, 245)(82, 240)(83, 247)(84, 248)(85, 211)(86, 214)(87, 244)(88, 252)(89, 212)(90, 241)(91, 213)(92, 249)(93, 215)(94, 216)(95, 223)(96, 226)(97, 234)(98, 262)(99, 224)(100, 231)(101, 225)(102, 259)(103, 227)(104, 228)(105, 236)(106, 261)(107, 260)(108, 232)(109, 271)(110, 273)(111, 275)(112, 276)(113, 272)(114, 278)(115, 246)(116, 251)(117, 250)(118, 242)(119, 281)(120, 283)(121, 285)(122, 286)(123, 282)(124, 288)(125, 287)(126, 284)(127, 253)(128, 257)(129, 254)(130, 280)(131, 255)(132, 256)(133, 279)(134, 258)(135, 277)(136, 274)(137, 263)(138, 267)(139, 264)(140, 270)(141, 265)(142, 266)(143, 269)(144, 268)(289, 435)(290, 437)(291, 433)(292, 442)(293, 434)(294, 446)(295, 447)(296, 450)(297, 451)(298, 436)(299, 455)(300, 458)(301, 459)(302, 438)(303, 439)(304, 465)(305, 466)(306, 440)(307, 441)(308, 473)(309, 474)(310, 477)(311, 443)(312, 480)(313, 481)(314, 444)(315, 445)(316, 488)(317, 489)(318, 492)(319, 485)(320, 483)(321, 448)(322, 449)(323, 491)(324, 479)(325, 487)(326, 478)(327, 486)(328, 484)(329, 452)(330, 453)(331, 490)(332, 482)(333, 454)(334, 470)(335, 468)(336, 456)(337, 457)(338, 476)(339, 464)(340, 472)(341, 463)(342, 471)(343, 469)(344, 460)(345, 461)(346, 475)(347, 467)(348, 462)(349, 517)(350, 518)(351, 509)(352, 511)(353, 507)(354, 514)(355, 508)(356, 522)(357, 524)(358, 510)(359, 523)(360, 521)(361, 527)(362, 528)(363, 497)(364, 499)(365, 495)(366, 502)(367, 496)(368, 532)(369, 534)(370, 498)(371, 533)(372, 531)(373, 493)(374, 494)(375, 539)(376, 535)(377, 504)(378, 500)(379, 503)(380, 501)(381, 530)(382, 538)(383, 505)(384, 506)(385, 549)(386, 525)(387, 516)(388, 512)(389, 515)(390, 513)(391, 520)(392, 548)(393, 550)(394, 526)(395, 519)(396, 547)(397, 560)(398, 562)(399, 561)(400, 559)(401, 565)(402, 563)(403, 540)(404, 536)(405, 529)(406, 537)(407, 570)(408, 572)(409, 571)(410, 569)(411, 575)(412, 573)(413, 574)(414, 576)(415, 544)(416, 541)(417, 543)(418, 542)(419, 546)(420, 567)(421, 545)(422, 568)(423, 564)(424, 566)(425, 554)(426, 551)(427, 553)(428, 552)(429, 556)(430, 557)(431, 555)(432, 558)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.2578
Transitivity :: VT+
Graph::
	v = 72 e = 288 f = 162
	degree seq :: [ 8^72 ]

E28.2582 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 8})
Quotient :: loop^2
Aut^+ = (Q8 : C9) : C2 (small group id <144, 32>)
Aut   = $<288, 340>$ (small group id <288, 340>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y1 * Y3^2 * Y2 * Y3^-1, (Y1 * Y3^-1 * Y2)^2, Y3^-1 * Y2 * Y3^2 * Y1 * Y3^-1, (Y3^-1 * Y1 * Y2)^2, Y2 * Y3^-1 * Y2 * Y1 * Y3^3 * Y1, (Y2 * Y1)^4, Y3^8, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 145, 289, 433, 4, 148, 292, 436, 14, 158, 302, 446, 38, 182, 326, 470, 42, 186, 330, 474, 41, 185, 329, 473, 17, 161, 305, 449, 5, 149, 293, 437)(2, 146, 290, 434, 7, 151, 295, 439, 23, 167, 311, 455, 53, 197, 341, 485, 27, 171, 315, 459, 56, 200, 344, 488, 26, 170, 314, 458, 8, 152, 296, 440)(3, 147, 291, 435, 10, 154, 298, 442, 31, 175, 319, 463, 44, 188, 332, 476, 18, 162, 306, 450, 43, 187, 331, 475, 33, 177, 321, 465, 11, 155, 299, 443)(6, 150, 294, 438, 19, 163, 307, 451, 46, 190, 334, 478, 29, 173, 317, 461, 9, 153, 297, 441, 28, 172, 316, 460, 48, 192, 336, 480, 20, 164, 308, 452)(12, 156, 300, 444, 34, 178, 322, 466, 57, 201, 345, 489, 72, 216, 360, 504, 47, 191, 335, 479, 40, 184, 328, 472, 16, 160, 304, 448, 35, 179, 323, 467)(13, 157, 301, 445, 36, 180, 324, 468, 45, 189, 333, 477, 71, 215, 359, 503, 58, 202, 346, 490, 39, 183, 327, 471, 15, 159, 303, 447, 37, 181, 325, 469)(21, 165, 309, 453, 49, 193, 337, 481, 69, 213, 357, 501, 60, 204, 348, 492, 32, 176, 320, 464, 55, 199, 343, 487, 25, 169, 313, 457, 50, 194, 338, 482)(22, 166, 310, 454, 51, 195, 339, 483, 30, 174, 318, 462, 59, 203, 347, 491, 70, 214, 358, 502, 54, 198, 342, 486, 24, 168, 312, 456, 52, 196, 340, 484)(61, 205, 349, 493, 81, 225, 369, 513, 67, 211, 355, 499, 88, 232, 376, 520, 66, 210, 354, 498, 86, 230, 374, 518, 64, 208, 352, 496, 82, 226, 370, 514)(62, 206, 350, 494, 83, 227, 371, 515, 65, 209, 353, 497, 87, 231, 375, 519, 68, 212, 356, 500, 85, 229, 373, 517, 63, 207, 351, 495, 84, 228, 372, 516)(73, 217, 361, 505, 89, 233, 377, 521, 79, 223, 367, 511, 96, 240, 384, 528, 78, 222, 366, 510, 94, 238, 382, 526, 76, 220, 364, 508, 90, 234, 378, 522)(74, 218, 362, 506, 91, 235, 379, 523, 77, 221, 365, 509, 95, 239, 383, 527, 80, 224, 368, 512, 93, 237, 381, 525, 75, 219, 363, 507, 92, 236, 380, 524)(97, 241, 385, 529, 113, 257, 401, 545, 103, 247, 391, 535, 120, 264, 408, 552, 102, 246, 390, 534, 118, 262, 406, 550, 100, 244, 388, 532, 114, 258, 402, 546)(98, 242, 386, 530, 115, 259, 403, 547, 101, 245, 389, 533, 119, 263, 407, 551, 104, 248, 392, 536, 117, 261, 405, 549, 99, 243, 387, 531, 116, 260, 404, 548)(105, 249, 393, 537, 121, 265, 409, 553, 111, 255, 399, 543, 128, 272, 416, 560, 110, 254, 398, 542, 126, 270, 414, 558, 108, 252, 396, 540, 122, 266, 410, 554)(106, 250, 394, 538, 123, 267, 411, 555, 109, 253, 397, 541, 127, 271, 415, 559, 112, 256, 400, 544, 125, 269, 413, 557, 107, 251, 395, 539, 124, 268, 412, 556)(129, 273, 417, 561, 141, 285, 429, 573, 135, 279, 423, 567, 144, 288, 432, 576, 134, 278, 422, 566, 139, 283, 427, 571, 132, 276, 420, 564, 138, 282, 426, 570)(130, 274, 418, 562, 137, 281, 425, 569, 133, 277, 421, 565, 143, 287, 431, 575, 136, 280, 424, 568, 142, 286, 430, 574, 131, 275, 419, 563, 140, 284, 428, 572)
	L = (1, 146)(2, 145)(3, 153)(4, 156)(5, 159)(6, 162)(7, 165)(8, 168)(9, 147)(10, 169)(11, 166)(12, 148)(13, 164)(14, 175)(15, 149)(16, 163)(17, 177)(18, 150)(19, 160)(20, 157)(21, 151)(22, 155)(23, 190)(24, 152)(25, 154)(26, 192)(27, 186)(28, 201)(29, 202)(30, 197)(31, 158)(32, 200)(33, 161)(34, 205)(35, 207)(36, 208)(37, 206)(38, 189)(39, 211)(40, 210)(41, 191)(42, 171)(43, 213)(44, 214)(45, 182)(46, 167)(47, 185)(48, 170)(49, 217)(50, 219)(51, 220)(52, 218)(53, 174)(54, 223)(55, 222)(56, 176)(57, 172)(58, 173)(59, 224)(60, 221)(61, 178)(62, 181)(63, 179)(64, 180)(65, 216)(66, 184)(67, 183)(68, 215)(69, 187)(70, 188)(71, 212)(72, 209)(73, 193)(74, 196)(75, 194)(76, 195)(77, 204)(78, 199)(79, 198)(80, 203)(81, 241)(82, 243)(83, 244)(84, 242)(85, 247)(86, 246)(87, 248)(88, 245)(89, 249)(90, 251)(91, 252)(92, 250)(93, 255)(94, 254)(95, 256)(96, 253)(97, 225)(98, 228)(99, 226)(100, 227)(101, 232)(102, 230)(103, 229)(104, 231)(105, 233)(106, 236)(107, 234)(108, 235)(109, 240)(110, 238)(111, 237)(112, 239)(113, 273)(114, 275)(115, 276)(116, 274)(117, 279)(118, 278)(119, 280)(120, 277)(121, 281)(122, 283)(123, 284)(124, 282)(125, 287)(126, 286)(127, 288)(128, 285)(129, 257)(130, 260)(131, 258)(132, 259)(133, 264)(134, 262)(135, 261)(136, 263)(137, 265)(138, 268)(139, 266)(140, 267)(141, 272)(142, 270)(143, 269)(144, 271)(289, 435)(290, 438)(291, 433)(292, 445)(293, 448)(294, 434)(295, 454)(296, 457)(297, 459)(298, 462)(299, 464)(300, 461)(301, 436)(302, 455)(303, 460)(304, 437)(305, 458)(306, 474)(307, 477)(308, 479)(309, 476)(310, 439)(311, 446)(312, 475)(313, 440)(314, 449)(315, 441)(316, 447)(317, 444)(318, 442)(319, 480)(320, 443)(321, 478)(322, 494)(323, 496)(324, 497)(325, 498)(326, 489)(327, 495)(328, 500)(329, 490)(330, 450)(331, 456)(332, 453)(333, 451)(334, 465)(335, 452)(336, 463)(337, 506)(338, 508)(339, 509)(340, 510)(341, 501)(342, 507)(343, 512)(344, 502)(345, 470)(346, 473)(347, 505)(348, 511)(349, 503)(350, 466)(351, 471)(352, 467)(353, 468)(354, 469)(355, 504)(356, 472)(357, 485)(358, 488)(359, 493)(360, 499)(361, 491)(362, 481)(363, 486)(364, 482)(365, 483)(366, 484)(367, 492)(368, 487)(369, 530)(370, 532)(371, 533)(372, 534)(373, 531)(374, 536)(375, 529)(376, 535)(377, 538)(378, 540)(379, 541)(380, 542)(381, 539)(382, 544)(383, 537)(384, 543)(385, 519)(386, 513)(387, 517)(388, 514)(389, 515)(390, 516)(391, 520)(392, 518)(393, 527)(394, 521)(395, 525)(396, 522)(397, 523)(398, 524)(399, 528)(400, 526)(401, 562)(402, 564)(403, 565)(404, 566)(405, 563)(406, 568)(407, 561)(408, 567)(409, 570)(410, 572)(411, 573)(412, 574)(413, 571)(414, 576)(415, 569)(416, 575)(417, 551)(418, 545)(419, 549)(420, 546)(421, 547)(422, 548)(423, 552)(424, 550)(425, 559)(426, 553)(427, 557)(428, 554)(429, 555)(430, 556)(431, 560)(432, 558)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.2577
Transitivity :: VT+
Graph::
	v = 18 e = 288 f = 216
	degree seq :: [ 32^18 ]

E28.2583 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 8})
Quotient :: loop^2
Aut^+ = (Q8 : C9) : C2 (small group id <144, 32>)
Aut   = $<288, 340>$ (small group id <288, 340>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y1 * Y3^2 * Y2 * Y3^-1, (Y1 * Y3^-1 * Y2)^2, Y3^-1 * Y2 * Y3^2 * Y1 * Y3^-1, (Y3^-1 * Y1 * Y2)^2, Y1 * Y2 * Y3 * Y2 * Y1 * Y3^-3, Y3^8, (Y2 * Y1)^4, (Y3^-3 * Y1 * Y3^-1)^2, Y3 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y1 ]
Map::
	R = (1, 145, 289, 433, 4, 148, 292, 436, 14, 158, 302, 446, 38, 182, 326, 470, 42, 186, 330, 474, 41, 185, 329, 473, 17, 161, 305, 449, 5, 149, 293, 437)(2, 146, 290, 434, 7, 151, 295, 439, 23, 167, 311, 455, 53, 197, 341, 485, 27, 171, 315, 459, 56, 200, 344, 488, 26, 170, 314, 458, 8, 152, 296, 440)(3, 147, 291, 435, 10, 154, 298, 442, 31, 175, 319, 463, 44, 188, 332, 476, 18, 162, 306, 450, 43, 187, 331, 475, 33, 177, 321, 465, 11, 155, 299, 443)(6, 150, 294, 438, 19, 163, 307, 451, 46, 190, 334, 478, 29, 173, 317, 461, 9, 153, 297, 441, 28, 172, 316, 460, 48, 192, 336, 480, 20, 164, 308, 452)(12, 156, 300, 444, 34, 178, 322, 466, 57, 201, 345, 489, 72, 216, 360, 504, 47, 191, 335, 479, 40, 184, 328, 472, 16, 160, 304, 448, 35, 179, 323, 467)(13, 157, 301, 445, 36, 180, 324, 468, 45, 189, 333, 477, 71, 215, 359, 503, 58, 202, 346, 490, 39, 183, 327, 471, 15, 159, 303, 447, 37, 181, 325, 469)(21, 165, 309, 453, 49, 193, 337, 481, 69, 213, 357, 501, 60, 204, 348, 492, 32, 176, 320, 464, 55, 199, 343, 487, 25, 169, 313, 457, 50, 194, 338, 482)(22, 166, 310, 454, 51, 195, 339, 483, 30, 174, 318, 462, 59, 203, 347, 491, 70, 214, 358, 502, 54, 198, 342, 486, 24, 168, 312, 456, 52, 196, 340, 484)(61, 205, 349, 493, 81, 225, 369, 513, 67, 211, 355, 499, 88, 232, 376, 520, 66, 210, 354, 498, 86, 230, 374, 518, 64, 208, 352, 496, 82, 226, 370, 514)(62, 206, 350, 494, 83, 227, 371, 515, 65, 209, 353, 497, 87, 231, 375, 519, 68, 212, 356, 500, 85, 229, 373, 517, 63, 207, 351, 495, 84, 228, 372, 516)(73, 217, 361, 505, 89, 233, 377, 521, 79, 223, 367, 511, 96, 240, 384, 528, 78, 222, 366, 510, 94, 238, 382, 526, 76, 220, 364, 508, 90, 234, 378, 522)(74, 218, 362, 506, 91, 235, 379, 523, 77, 221, 365, 509, 95, 239, 383, 527, 80, 224, 368, 512, 93, 237, 381, 525, 75, 219, 363, 507, 92, 236, 380, 524)(97, 241, 385, 529, 113, 257, 401, 545, 103, 247, 391, 535, 120, 264, 408, 552, 102, 246, 390, 534, 118, 262, 406, 550, 100, 244, 388, 532, 114, 258, 402, 546)(98, 242, 386, 530, 115, 259, 403, 547, 101, 245, 389, 533, 119, 263, 407, 551, 104, 248, 392, 536, 117, 261, 405, 549, 99, 243, 387, 531, 116, 260, 404, 548)(105, 249, 393, 537, 121, 265, 409, 553, 111, 255, 399, 543, 128, 272, 416, 560, 110, 254, 398, 542, 126, 270, 414, 558, 108, 252, 396, 540, 122, 266, 410, 554)(106, 250, 394, 538, 123, 267, 411, 555, 109, 253, 397, 541, 127, 271, 415, 559, 112, 256, 400, 544, 125, 269, 413, 557, 107, 251, 395, 539, 124, 268, 412, 556)(129, 273, 417, 561, 139, 283, 427, 571, 135, 279, 423, 567, 138, 282, 426, 570, 134, 278, 422, 566, 141, 285, 429, 573, 132, 276, 420, 564, 144, 288, 432, 576)(130, 274, 418, 562, 142, 286, 430, 574, 133, 277, 421, 565, 140, 284, 428, 572, 136, 280, 424, 568, 137, 281, 425, 569, 131, 275, 419, 563, 143, 287, 431, 575)
	L = (1, 146)(2, 145)(3, 153)(4, 156)(5, 159)(6, 162)(7, 165)(8, 168)(9, 147)(10, 169)(11, 166)(12, 148)(13, 164)(14, 175)(15, 149)(16, 163)(17, 177)(18, 150)(19, 160)(20, 157)(21, 151)(22, 155)(23, 190)(24, 152)(25, 154)(26, 192)(27, 186)(28, 201)(29, 202)(30, 197)(31, 158)(32, 200)(33, 161)(34, 205)(35, 207)(36, 208)(37, 206)(38, 189)(39, 211)(40, 210)(41, 191)(42, 171)(43, 213)(44, 214)(45, 182)(46, 167)(47, 185)(48, 170)(49, 217)(50, 219)(51, 220)(52, 218)(53, 174)(54, 223)(55, 222)(56, 176)(57, 172)(58, 173)(59, 224)(60, 221)(61, 178)(62, 181)(63, 179)(64, 180)(65, 216)(66, 184)(67, 183)(68, 215)(69, 187)(70, 188)(71, 212)(72, 209)(73, 193)(74, 196)(75, 194)(76, 195)(77, 204)(78, 199)(79, 198)(80, 203)(81, 241)(82, 243)(83, 244)(84, 242)(85, 247)(86, 246)(87, 248)(88, 245)(89, 249)(90, 251)(91, 252)(92, 250)(93, 255)(94, 254)(95, 256)(96, 253)(97, 225)(98, 228)(99, 226)(100, 227)(101, 232)(102, 230)(103, 229)(104, 231)(105, 233)(106, 236)(107, 234)(108, 235)(109, 240)(110, 238)(111, 237)(112, 239)(113, 273)(114, 275)(115, 276)(116, 274)(117, 279)(118, 278)(119, 280)(120, 277)(121, 281)(122, 283)(123, 284)(124, 282)(125, 287)(126, 286)(127, 288)(128, 285)(129, 257)(130, 260)(131, 258)(132, 259)(133, 264)(134, 262)(135, 261)(136, 263)(137, 265)(138, 268)(139, 266)(140, 267)(141, 272)(142, 270)(143, 269)(144, 271)(289, 435)(290, 438)(291, 433)(292, 445)(293, 448)(294, 434)(295, 454)(296, 457)(297, 459)(298, 462)(299, 464)(300, 461)(301, 436)(302, 455)(303, 460)(304, 437)(305, 458)(306, 474)(307, 477)(308, 479)(309, 476)(310, 439)(311, 446)(312, 475)(313, 440)(314, 449)(315, 441)(316, 447)(317, 444)(318, 442)(319, 480)(320, 443)(321, 478)(322, 494)(323, 496)(324, 497)(325, 498)(326, 489)(327, 495)(328, 500)(329, 490)(330, 450)(331, 456)(332, 453)(333, 451)(334, 465)(335, 452)(336, 463)(337, 506)(338, 508)(339, 509)(340, 510)(341, 501)(342, 507)(343, 512)(344, 502)(345, 470)(346, 473)(347, 505)(348, 511)(349, 503)(350, 466)(351, 471)(352, 467)(353, 468)(354, 469)(355, 504)(356, 472)(357, 485)(358, 488)(359, 493)(360, 499)(361, 491)(362, 481)(363, 486)(364, 482)(365, 483)(366, 484)(367, 492)(368, 487)(369, 530)(370, 532)(371, 533)(372, 534)(373, 531)(374, 536)(375, 529)(376, 535)(377, 538)(378, 540)(379, 541)(380, 542)(381, 539)(382, 544)(383, 537)(384, 543)(385, 519)(386, 513)(387, 517)(388, 514)(389, 515)(390, 516)(391, 520)(392, 518)(393, 527)(394, 521)(395, 525)(396, 522)(397, 523)(398, 524)(399, 528)(400, 526)(401, 562)(402, 564)(403, 565)(404, 566)(405, 563)(406, 568)(407, 561)(408, 567)(409, 570)(410, 572)(411, 573)(412, 574)(413, 571)(414, 576)(415, 569)(416, 575)(417, 551)(418, 545)(419, 549)(420, 546)(421, 547)(422, 548)(423, 552)(424, 550)(425, 559)(426, 553)(427, 557)(428, 554)(429, 555)(430, 556)(431, 560)(432, 558)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.2576
Transitivity :: VT+
Graph::
	v = 18 e = 288 f = 216
	degree seq :: [ 32^18 ]

E28.2584 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 8})
Quotient :: halfedge^2
Aut^+ = (C3 x SL(2,3)) : C2 (small group id <144, 125>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y1)^3, (Y2 * Y1)^3, (Y3 * Y2)^6, (Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y2)^2, Y3 * Y2 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1, (Y3 * Y2 * Y1 * Y2 * Y3 * Y2 * Y1)^2, Y3 * Y2 * Y3 * Y2 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1 * Y3 * Y1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 146, 2, 145)(3, 151, 7, 147)(4, 153, 9, 148)(5, 155, 11, 149)(6, 157, 13, 150)(8, 160, 16, 152)(10, 163, 19, 154)(12, 166, 22, 156)(14, 169, 25, 158)(15, 171, 27, 159)(17, 174, 30, 161)(18, 176, 32, 162)(20, 179, 35, 164)(21, 181, 37, 165)(23, 184, 40, 167)(24, 186, 42, 168)(26, 189, 45, 170)(28, 192, 48, 172)(29, 194, 50, 173)(31, 197, 53, 175)(33, 200, 56, 177)(34, 202, 58, 178)(36, 205, 61, 180)(38, 208, 64, 182)(39, 210, 66, 183)(41, 213, 69, 185)(43, 216, 72, 187)(44, 218, 74, 188)(46, 221, 77, 190)(47, 223, 79, 191)(49, 226, 82, 193)(51, 229, 85, 195)(52, 231, 87, 196)(54, 234, 90, 198)(55, 236, 92, 199)(57, 239, 95, 201)(59, 242, 98, 203)(60, 244, 100, 204)(62, 247, 103, 206)(63, 248, 104, 207)(65, 251, 107, 209)(67, 254, 110, 211)(68, 256, 112, 212)(70, 259, 115, 214)(71, 261, 117, 215)(73, 264, 120, 217)(75, 267, 123, 219)(76, 269, 125, 220)(78, 272, 128, 222)(80, 266, 122, 224)(81, 263, 119, 225)(83, 271, 127, 227)(84, 262, 118, 228)(86, 257, 113, 230)(88, 255, 111, 232)(89, 265, 121, 233)(91, 260, 116, 235)(93, 253, 109, 237)(94, 250, 106, 238)(96, 258, 114, 240)(97, 249, 105, 241)(99, 270, 126, 243)(101, 268, 124, 245)(102, 252, 108, 246)(129, 282, 138, 273)(130, 283, 139, 274)(131, 280, 136, 275)(132, 281, 137, 276)(133, 287, 143, 277)(134, 286, 142, 278)(135, 285, 141, 279)(140, 288, 144, 284)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 11)(8, 17)(9, 18)(12, 23)(13, 24)(15, 28)(16, 29)(19, 32)(20, 36)(21, 38)(22, 39)(25, 42)(26, 46)(27, 47)(30, 50)(31, 54)(33, 57)(34, 59)(35, 60)(37, 63)(40, 66)(41, 70)(43, 73)(44, 75)(45, 76)(48, 79)(49, 83)(51, 86)(52, 88)(53, 89)(55, 93)(56, 94)(58, 97)(61, 100)(62, 91)(64, 104)(65, 108)(67, 111)(68, 113)(69, 114)(71, 118)(72, 119)(74, 122)(77, 125)(78, 116)(80, 123)(81, 120)(82, 130)(84, 131)(85, 112)(87, 110)(90, 121)(92, 129)(95, 106)(96, 115)(98, 105)(99, 134)(101, 133)(102, 132)(103, 128)(107, 137)(109, 138)(117, 136)(124, 141)(126, 140)(127, 139)(135, 143)(142, 144)(145, 148)(146, 150)(147, 152)(149, 156)(151, 159)(153, 157)(154, 164)(155, 165)(158, 170)(160, 171)(161, 175)(162, 177)(163, 178)(166, 181)(167, 185)(168, 187)(169, 188)(172, 193)(173, 195)(174, 196)(176, 199)(179, 202)(180, 206)(182, 209)(183, 211)(184, 212)(186, 215)(189, 218)(190, 222)(191, 224)(192, 225)(194, 228)(197, 231)(198, 235)(200, 236)(201, 240)(203, 243)(204, 245)(205, 246)(207, 249)(208, 250)(210, 253)(213, 256)(214, 260)(216, 261)(217, 265)(219, 268)(220, 270)(221, 271)(223, 273)(226, 263)(227, 272)(229, 262)(230, 276)(232, 277)(233, 278)(234, 259)(237, 254)(238, 251)(239, 279)(241, 275)(242, 269)(244, 267)(247, 252)(248, 280)(255, 283)(257, 284)(258, 285)(264, 286)(266, 282)(274, 287)(281, 288)
	local type(s) :: { ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E28.2586
Transitivity :: VT+ AT
Graph:: simple
	v = 72 e = 144 f = 18
	degree seq :: [ 4^72 ]

E28.2585 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 8})
Quotient :: halfedge^2
Aut^+ = (C3 x SL(2,3)) : C2 (small group id <144, 125>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1 * Y3 * Y1, Y2 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y2 * Y1, Y2 * Y1 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y1, (Y3 * Y1)^6, Y3 * Y1 * Y2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 146, 2, 145)(3, 151, 7, 147)(4, 153, 9, 148)(5, 155, 11, 149)(6, 157, 13, 150)(8, 161, 17, 152)(10, 165, 21, 154)(12, 169, 25, 156)(14, 173, 29, 158)(15, 175, 31, 159)(16, 177, 33, 160)(18, 181, 37, 162)(19, 183, 39, 163)(20, 185, 41, 164)(22, 189, 45, 166)(23, 191, 47, 167)(24, 193, 49, 168)(26, 197, 53, 170)(27, 199, 55, 171)(28, 201, 57, 172)(30, 205, 61, 174)(32, 196, 52, 176)(34, 211, 67, 178)(35, 212, 68, 179)(36, 192, 48, 180)(38, 217, 73, 182)(40, 219, 75, 184)(42, 203, 59, 186)(43, 202, 58, 187)(44, 216, 72, 188)(46, 210, 66, 190)(50, 228, 84, 194)(51, 229, 85, 195)(54, 234, 90, 198)(56, 236, 92, 200)(60, 233, 89, 204)(62, 227, 83, 206)(63, 224, 80, 207)(64, 241, 97, 208)(65, 242, 98, 209)(69, 248, 104, 213)(70, 245, 101, 214)(71, 244, 100, 215)(74, 253, 109, 218)(76, 257, 113, 220)(77, 256, 112, 221)(78, 259, 115, 222)(79, 252, 108, 223)(81, 261, 117, 225)(82, 262, 118, 226)(86, 268, 124, 230)(87, 265, 121, 231)(88, 264, 120, 232)(91, 273, 129, 235)(93, 277, 133, 237)(94, 276, 132, 238)(95, 279, 135, 239)(96, 272, 128, 240)(99, 271, 127, 243)(102, 275, 131, 246)(103, 274, 130, 247)(105, 280, 136, 249)(106, 278, 134, 250)(107, 263, 119, 251)(110, 267, 123, 254)(111, 266, 122, 255)(114, 270, 126, 258)(116, 269, 125, 260)(137, 288, 144, 281)(138, 287, 143, 282)(139, 286, 142, 283)(140, 285, 141, 284)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 18)(9, 19)(11, 23)(12, 26)(13, 27)(16, 34)(17, 35)(20, 42)(21, 43)(22, 46)(24, 50)(25, 51)(28, 58)(29, 59)(30, 62)(31, 63)(32, 64)(33, 65)(36, 70)(37, 71)(38, 57)(39, 73)(40, 56)(41, 54)(44, 78)(45, 68)(47, 80)(48, 81)(49, 82)(52, 87)(53, 88)(55, 90)(60, 95)(61, 85)(66, 100)(67, 101)(69, 99)(72, 107)(74, 110)(75, 111)(76, 93)(77, 114)(79, 116)(83, 120)(84, 121)(86, 119)(89, 127)(91, 130)(92, 131)(94, 134)(96, 136)(97, 118)(98, 117)(102, 133)(103, 139)(104, 128)(105, 135)(106, 140)(108, 124)(109, 137)(112, 138)(113, 122)(115, 125)(123, 143)(126, 144)(129, 141)(132, 142)(145, 148)(146, 150)(147, 152)(149, 156)(151, 160)(153, 164)(154, 166)(155, 168)(157, 172)(158, 174)(159, 176)(161, 180)(162, 182)(163, 184)(165, 188)(167, 192)(169, 196)(170, 198)(171, 200)(173, 204)(175, 206)(177, 210)(178, 194)(179, 213)(181, 216)(183, 218)(185, 207)(186, 220)(187, 221)(189, 223)(190, 191)(193, 227)(195, 230)(197, 233)(199, 235)(201, 224)(202, 237)(203, 238)(205, 240)(208, 225)(209, 243)(211, 246)(212, 247)(214, 249)(215, 250)(217, 252)(219, 256)(222, 254)(226, 263)(228, 266)(229, 267)(231, 269)(232, 270)(234, 272)(236, 276)(239, 274)(241, 275)(242, 281)(244, 279)(245, 282)(248, 278)(251, 283)(253, 277)(255, 261)(257, 273)(258, 268)(259, 264)(260, 284)(262, 285)(265, 286)(271, 287)(280, 288)
	local type(s) :: { ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E28.2587
Transitivity :: VT+ AT
Graph:: simple
	v = 72 e = 144 f = 18
	degree seq :: [ 4^72 ]

E28.2586 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 8})
Quotient :: halfedge^2
Aut^+ = (C3 x SL(2,3)) : C2 (small group id <144, 125>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, (Y2 * Y1^-1)^3, (Y1^-1 * Y3)^3, (Y1^-1 * Y2 * Y3)^2, Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1^-2, Y1^8, Y1^-1 * Y2 * Y3 * Y1 * Y2 * Y1^2 * Y3 * Y1^-2, (Y2 * Y1^-4)^2, Y2 * Y3 * Y1 * Y2 * Y3 * Y2 * Y1^2 * Y2 * Y1^-1, Y2 * Y1 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2 * Y1^-1, Y3 * Y2 * Y1 * Y2 * Y3 * Y2 * Y3 * Y1^-3 ]
Map:: polytopal non-degenerate
	R = (1, 146, 2, 150, 6, 162, 18, 191, 47, 190, 46, 161, 17, 149, 5, 145)(3, 153, 9, 171, 27, 211, 67, 248, 104, 226, 82, 177, 33, 155, 11, 147)(4, 156, 12, 178, 34, 227, 83, 249, 105, 238, 94, 184, 40, 158, 14, 148)(7, 165, 21, 200, 56, 266, 122, 246, 102, 275, 131, 205, 61, 167, 23, 151)(8, 168, 24, 206, 62, 276, 132, 247, 103, 284, 140, 210, 66, 170, 26, 152)(10, 174, 30, 217, 73, 271, 127, 234, 90, 281, 137, 209, 65, 169, 25, 154)(13, 181, 37, 232, 88, 268, 124, 220, 76, 251, 107, 235, 91, 183, 39, 157)(15, 185, 41, 239, 95, 252, 108, 192, 48, 250, 106, 215, 71, 172, 28, 159)(16, 186, 42, 218, 74, 255, 111, 193, 49, 253, 109, 231, 87, 180, 36, 160)(19, 194, 50, 256, 112, 240, 96, 188, 44, 244, 100, 260, 116, 196, 52, 163)(20, 197, 53, 261, 117, 241, 97, 189, 45, 223, 79, 265, 121, 199, 55, 164)(22, 202, 58, 269, 125, 245, 101, 280, 136, 236, 92, 264, 120, 198, 54, 166)(29, 208, 64, 279, 135, 243, 99, 272, 128, 203, 59, 257, 113, 216, 72, 173)(31, 201, 57, 263, 119, 230, 86, 182, 38, 233, 89, 259, 115, 221, 77, 175)(32, 222, 78, 179, 35, 229, 85, 262, 118, 288, 144, 286, 142, 219, 75, 176)(43, 242, 98, 282, 138, 213, 69, 254, 110, 195, 51, 258, 114, 225, 81, 187)(60, 273, 129, 207, 63, 278, 134, 287, 143, 285, 141, 214, 70, 270, 126, 204)(68, 283, 139, 228, 84, 267, 123, 224, 80, 277, 133, 237, 93, 274, 130, 212)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 28)(10, 31)(11, 21)(12, 35)(14, 29)(16, 43)(17, 44)(18, 48)(20, 54)(22, 59)(23, 50)(24, 63)(26, 57)(27, 68)(30, 74)(32, 79)(33, 80)(34, 58)(36, 86)(37, 72)(38, 90)(39, 85)(40, 92)(41, 96)(42, 60)(45, 101)(46, 102)(47, 104)(49, 110)(51, 115)(52, 106)(53, 118)(55, 113)(56, 123)(61, 130)(62, 114)(64, 136)(65, 134)(66, 138)(67, 131)(69, 141)(70, 140)(71, 139)(73, 126)(75, 124)(76, 105)(77, 111)(78, 125)(81, 129)(82, 108)(83, 128)(84, 116)(87, 137)(88, 121)(89, 132)(91, 117)(93, 112)(94, 142)(95, 133)(97, 135)(98, 119)(99, 107)(100, 122)(103, 127)(109, 143)(120, 144)(145, 148)(146, 152)(147, 154)(149, 160)(150, 164)(151, 166)(153, 173)(155, 176)(156, 180)(157, 182)(158, 168)(159, 181)(161, 189)(162, 193)(163, 195)(165, 201)(167, 204)(169, 208)(170, 197)(171, 213)(172, 214)(174, 219)(175, 220)(177, 225)(178, 228)(179, 196)(183, 205)(184, 237)(185, 230)(186, 241)(187, 243)(188, 242)(190, 247)(191, 249)(192, 251)(194, 257)(198, 263)(199, 253)(200, 268)(202, 270)(203, 271)(206, 277)(207, 252)(209, 260)(210, 283)(211, 262)(212, 261)(215, 269)(216, 254)(217, 256)(218, 274)(221, 250)(222, 258)(223, 276)(224, 265)(226, 272)(227, 284)(229, 281)(231, 267)(232, 285)(233, 275)(234, 248)(235, 273)(236, 278)(238, 255)(239, 264)(240, 286)(244, 279)(245, 259)(246, 280)(266, 287)(282, 288)
	local type(s) :: { ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E28.2584
Transitivity :: VT+ AT
Graph::
	v = 18 e = 144 f = 72
	degree seq :: [ 16^18 ]

E28.2587 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 8})
Quotient :: halfedge^2
Aut^+ = (C3 x SL(2,3)) : C2 (small group id <144, 125>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y2 * Y1)^2, Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-2, Y1^-1 * Y2 * Y1 * Y2 * Y3 * Y2 * Y1^-1 * Y3, Y3 * Y1 * Y2 * Y1^-2 * Y3 * Y1 * Y2, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^3, Y1^8, Y1^-1 * Y3 * Y2 * Y1^-2 * Y2 * Y1^-2 * Y3 * Y1^-1, Y1 * Y2 * Y1 * Y2 * Y3 * Y1^-2 * Y2 * Y1^-1 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 146, 2, 150, 6, 162, 18, 195, 51, 194, 50, 161, 17, 149, 5, 145)(3, 153, 9, 171, 27, 205, 61, 252, 108, 234, 90, 178, 34, 155, 11, 147)(4, 156, 12, 179, 35, 214, 70, 253, 109, 245, 101, 186, 42, 158, 14, 148)(7, 165, 21, 204, 60, 259, 115, 229, 85, 176, 32, 211, 67, 167, 23, 151)(8, 168, 24, 212, 68, 266, 122, 242, 98, 185, 41, 218, 74, 170, 26, 152)(10, 174, 30, 223, 79, 275, 131, 239, 95, 282, 138, 216, 72, 169, 25, 154)(13, 182, 38, 237, 93, 271, 127, 227, 83, 255, 111, 240, 96, 184, 40, 157)(15, 187, 43, 221, 77, 172, 28, 196, 52, 254, 110, 246, 102, 188, 44, 159)(16, 189, 45, 224, 80, 181, 37, 197, 53, 256, 112, 248, 104, 191, 47, 160)(19, 198, 54, 258, 114, 249, 105, 192, 48, 209, 65, 263, 119, 200, 56, 163)(20, 201, 57, 264, 120, 251, 107, 193, 49, 217, 73, 269, 125, 203, 59, 164)(22, 207, 63, 272, 128, 250, 106, 281, 137, 243, 99, 268, 124, 202, 58, 166)(29, 208, 64, 274, 130, 238, 94, 280, 136, 215, 71, 260, 116, 222, 78, 173)(31, 226, 82, 267, 123, 236, 92, 183, 39, 206, 62, 262, 118, 228, 84, 175)(33, 230, 86, 180, 36, 225, 81, 265, 121, 288, 144, 285, 141, 231, 87, 177)(46, 247, 103, 283, 139, 220, 76, 257, 113, 199, 55, 261, 117, 233, 89, 190)(66, 276, 132, 213, 69, 273, 129, 287, 143, 286, 142, 241, 97, 277, 133, 210)(75, 284, 140, 235, 91, 270, 126, 232, 88, 279, 135, 244, 100, 278, 134, 219)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 28)(10, 31)(11, 32)(12, 36)(14, 29)(16, 46)(17, 48)(18, 52)(20, 58)(21, 61)(22, 64)(23, 65)(24, 69)(26, 62)(27, 75)(30, 80)(33, 73)(34, 88)(35, 63)(37, 92)(38, 94)(39, 95)(40, 87)(41, 97)(42, 99)(43, 56)(44, 90)(45, 66)(47, 84)(49, 106)(50, 85)(51, 108)(53, 113)(54, 115)(55, 118)(57, 121)(59, 116)(60, 126)(67, 134)(68, 117)(70, 136)(71, 137)(72, 133)(74, 139)(76, 132)(77, 135)(78, 111)(79, 129)(81, 127)(82, 122)(83, 109)(86, 124)(89, 142)(91, 119)(93, 125)(96, 120)(98, 131)(100, 114)(101, 141)(102, 140)(103, 123)(104, 138)(105, 110)(107, 130)(112, 143)(128, 144)(145, 148)(146, 152)(147, 154)(149, 160)(150, 164)(151, 166)(153, 173)(155, 177)(156, 181)(157, 183)(158, 185)(159, 182)(161, 193)(162, 197)(163, 199)(165, 206)(167, 210)(168, 214)(169, 215)(170, 217)(171, 220)(172, 213)(174, 225)(175, 227)(176, 226)(178, 233)(179, 235)(180, 200)(184, 211)(186, 244)(187, 228)(188, 241)(189, 203)(190, 222)(191, 245)(192, 247)(194, 242)(195, 253)(196, 255)(198, 260)(201, 266)(202, 267)(204, 271)(205, 265)(207, 273)(208, 275)(209, 274)(212, 279)(216, 263)(218, 284)(219, 264)(221, 268)(223, 258)(224, 278)(229, 281)(230, 283)(231, 282)(232, 269)(234, 280)(236, 254)(237, 276)(238, 257)(239, 252)(240, 286)(243, 277)(246, 272)(248, 270)(249, 285)(250, 262)(251, 256)(259, 287)(261, 288)
	local type(s) :: { ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E28.2585
Transitivity :: VT+ AT
Graph::
	v = 18 e = 144 f = 72
	degree seq :: [ 16^18 ]

E28.2588 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 8})
Quotient :: edge^2
Aut^+ = (C3 x SL(2,3)) : C2 (small group id <144, 125>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y3 * Y1)^3, (Y2 * Y3)^3, (Y2 * Y1)^6, Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y3 * Y1 * Y2 * Y1, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 ]
Map:: polytopal
	R = (1, 145, 4, 148)(2, 146, 6, 150)(3, 147, 8, 152)(5, 149, 12, 156)(7, 151, 16, 160)(9, 153, 13, 157)(10, 154, 18, 162)(11, 155, 22, 166)(14, 158, 24, 168)(15, 159, 28, 172)(17, 161, 29, 173)(19, 163, 34, 178)(20, 164, 36, 180)(21, 165, 38, 182)(23, 167, 39, 183)(25, 169, 44, 188)(26, 170, 46, 190)(27, 171, 48, 192)(30, 174, 50, 194)(31, 175, 54, 198)(32, 176, 56, 200)(33, 177, 58, 202)(35, 179, 61, 205)(37, 181, 64, 208)(40, 184, 66, 210)(41, 185, 70, 214)(42, 186, 72, 216)(43, 187, 74, 218)(45, 189, 77, 221)(47, 191, 79, 223)(49, 193, 80, 224)(51, 195, 85, 229)(52, 196, 87, 231)(53, 197, 89, 233)(55, 199, 92, 236)(57, 201, 95, 239)(59, 203, 96, 240)(60, 204, 100, 244)(62, 206, 102, 246)(63, 207, 104, 248)(65, 209, 105, 249)(67, 211, 110, 254)(68, 212, 112, 256)(69, 213, 114, 258)(71, 215, 117, 261)(73, 217, 120, 264)(75, 219, 121, 265)(76, 220, 125, 269)(78, 222, 127, 271)(81, 225, 119, 263)(82, 226, 129, 273)(83, 227, 123, 267)(84, 228, 130, 274)(86, 230, 131, 275)(88, 232, 133, 277)(90, 234, 122, 266)(91, 235, 128, 272)(93, 237, 135, 279)(94, 238, 106, 250)(97, 241, 115, 259)(98, 242, 108, 252)(99, 243, 124, 268)(101, 245, 132, 276)(103, 247, 116, 260)(107, 251, 136, 280)(109, 253, 137, 281)(111, 255, 138, 282)(113, 257, 140, 284)(118, 262, 142, 286)(126, 270, 139, 283)(134, 278, 143, 287)(141, 285, 144, 288)(289, 290)(291, 295)(292, 297)(293, 299)(294, 301)(296, 305)(298, 308)(300, 311)(302, 314)(303, 315)(304, 317)(306, 320)(307, 321)(309, 325)(310, 327)(312, 330)(313, 331)(316, 337)(318, 340)(319, 341)(322, 347)(323, 348)(324, 344)(326, 353)(328, 356)(329, 357)(332, 363)(333, 364)(334, 360)(335, 351)(336, 368)(338, 371)(339, 372)(342, 378)(343, 379)(345, 382)(346, 384)(349, 389)(350, 391)(352, 393)(354, 396)(355, 397)(358, 403)(359, 404)(361, 407)(362, 409)(365, 414)(366, 416)(367, 412)(369, 401)(370, 399)(373, 406)(374, 395)(375, 411)(376, 394)(377, 410)(380, 415)(381, 398)(383, 421)(385, 402)(386, 400)(387, 392)(388, 420)(390, 405)(408, 428)(413, 427)(417, 431)(418, 430)(419, 429)(422, 426)(423, 425)(424, 432)(433, 435)(434, 437)(436, 442)(438, 446)(439, 447)(440, 450)(441, 451)(443, 453)(444, 456)(445, 457)(448, 462)(449, 463)(452, 467)(454, 472)(455, 473)(458, 477)(459, 479)(460, 482)(461, 483)(464, 487)(465, 489)(466, 476)(468, 494)(469, 495)(470, 498)(471, 499)(474, 503)(475, 505)(478, 510)(480, 513)(481, 514)(484, 518)(485, 520)(486, 517)(488, 525)(490, 529)(491, 530)(492, 531)(493, 534)(496, 538)(497, 539)(500, 543)(501, 545)(502, 542)(504, 550)(506, 554)(507, 555)(508, 556)(509, 559)(511, 551)(512, 548)(515, 541)(516, 540)(519, 564)(521, 566)(522, 552)(523, 537)(524, 567)(526, 536)(527, 547)(528, 562)(532, 557)(533, 563)(535, 561)(544, 571)(546, 573)(549, 574)(553, 569)(558, 570)(560, 568)(565, 575)(572, 576)
	L = (1, 289)(2, 290)(3, 291)(4, 292)(5, 293)(6, 294)(7, 295)(8, 296)(9, 297)(10, 298)(11, 299)(12, 300)(13, 301)(14, 302)(15, 303)(16, 304)(17, 305)(18, 306)(19, 307)(20, 308)(21, 309)(22, 310)(23, 311)(24, 312)(25, 313)(26, 314)(27, 315)(28, 316)(29, 317)(30, 318)(31, 319)(32, 320)(33, 321)(34, 322)(35, 323)(36, 324)(37, 325)(38, 326)(39, 327)(40, 328)(41, 329)(42, 330)(43, 331)(44, 332)(45, 333)(46, 334)(47, 335)(48, 336)(49, 337)(50, 338)(51, 339)(52, 340)(53, 341)(54, 342)(55, 343)(56, 344)(57, 345)(58, 346)(59, 347)(60, 348)(61, 349)(62, 350)(63, 351)(64, 352)(65, 353)(66, 354)(67, 355)(68, 356)(69, 357)(70, 358)(71, 359)(72, 360)(73, 361)(74, 362)(75, 363)(76, 364)(77, 365)(78, 366)(79, 367)(80, 368)(81, 369)(82, 370)(83, 371)(84, 372)(85, 373)(86, 374)(87, 375)(88, 376)(89, 377)(90, 378)(91, 379)(92, 380)(93, 381)(94, 382)(95, 383)(96, 384)(97, 385)(98, 386)(99, 387)(100, 388)(101, 389)(102, 390)(103, 391)(104, 392)(105, 393)(106, 394)(107, 395)(108, 396)(109, 397)(110, 398)(111, 399)(112, 400)(113, 401)(114, 402)(115, 403)(116, 404)(117, 405)(118, 406)(119, 407)(120, 408)(121, 409)(122, 410)(123, 411)(124, 412)(125, 413)(126, 414)(127, 415)(128, 416)(129, 417)(130, 418)(131, 419)(132, 420)(133, 421)(134, 422)(135, 423)(136, 424)(137, 425)(138, 426)(139, 427)(140, 428)(141, 429)(142, 430)(143, 431)(144, 432)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 32, 32 ), ( 32^4 ) }
Outer automorphisms :: reflexible
Dual of E28.2594
Graph:: simple bipartite
	v = 216 e = 288 f = 18
	degree seq :: [ 2^144, 4^72 ]

E28.2589 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 8})
Quotient :: edge^2
Aut^+ = (C3 x SL(2,3)) : C2 (small group id <144, 125>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1 * Y3 * Y1, Y2 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y2 * Y1, Y2 * Y1 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y1, (Y3 * Y1)^6, Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 ]
Map:: polytopal
	R = (1, 145, 4, 148)(2, 146, 6, 150)(3, 147, 8, 152)(5, 149, 12, 156)(7, 151, 16, 160)(9, 153, 20, 164)(10, 154, 22, 166)(11, 155, 24, 168)(13, 157, 28, 172)(14, 158, 30, 174)(15, 159, 32, 176)(17, 161, 36, 180)(18, 162, 38, 182)(19, 163, 40, 184)(21, 165, 44, 188)(23, 167, 48, 192)(25, 169, 52, 196)(26, 170, 54, 198)(27, 171, 56, 200)(29, 173, 60, 204)(31, 175, 62, 206)(33, 177, 66, 210)(34, 178, 50, 194)(35, 179, 69, 213)(37, 181, 72, 216)(39, 183, 74, 218)(41, 185, 63, 207)(42, 186, 76, 220)(43, 187, 77, 221)(45, 189, 79, 223)(46, 190, 47, 191)(49, 193, 83, 227)(51, 195, 86, 230)(53, 197, 89, 233)(55, 199, 91, 235)(57, 201, 80, 224)(58, 202, 93, 237)(59, 203, 94, 238)(61, 205, 96, 240)(64, 208, 81, 225)(65, 209, 99, 243)(67, 211, 102, 246)(68, 212, 103, 247)(70, 214, 105, 249)(71, 215, 106, 250)(73, 217, 108, 252)(75, 219, 112, 256)(78, 222, 110, 254)(82, 226, 119, 263)(84, 228, 122, 266)(85, 229, 123, 267)(87, 231, 125, 269)(88, 232, 126, 270)(90, 234, 128, 272)(92, 236, 132, 276)(95, 239, 130, 274)(97, 241, 131, 275)(98, 242, 137, 281)(100, 244, 135, 279)(101, 245, 138, 282)(104, 248, 134, 278)(107, 251, 139, 283)(109, 253, 133, 277)(111, 255, 117, 261)(113, 257, 129, 273)(114, 258, 124, 268)(115, 259, 120, 264)(116, 260, 140, 284)(118, 262, 141, 285)(121, 265, 142, 286)(127, 271, 143, 287)(136, 280, 144, 288)(289, 290)(291, 295)(292, 297)(293, 299)(294, 301)(296, 305)(298, 309)(300, 313)(302, 317)(303, 319)(304, 321)(306, 325)(307, 327)(308, 329)(310, 333)(311, 335)(312, 337)(314, 341)(315, 343)(316, 345)(318, 349)(320, 340)(322, 355)(323, 356)(324, 336)(326, 361)(328, 363)(330, 347)(331, 346)(332, 360)(334, 354)(338, 372)(339, 373)(342, 378)(344, 380)(348, 377)(350, 371)(351, 368)(352, 385)(353, 386)(357, 392)(358, 389)(359, 388)(362, 397)(364, 401)(365, 400)(366, 403)(367, 396)(369, 405)(370, 406)(374, 412)(375, 409)(376, 408)(379, 417)(381, 421)(382, 420)(383, 423)(384, 416)(387, 415)(390, 419)(391, 418)(393, 424)(394, 422)(395, 407)(398, 411)(399, 410)(402, 414)(404, 413)(425, 432)(426, 431)(427, 430)(428, 429)(433, 435)(434, 437)(436, 442)(438, 446)(439, 447)(440, 450)(441, 451)(443, 455)(444, 458)(445, 459)(448, 466)(449, 467)(452, 474)(453, 475)(454, 478)(456, 482)(457, 483)(460, 490)(461, 491)(462, 494)(463, 495)(464, 496)(465, 497)(468, 502)(469, 503)(470, 489)(471, 505)(472, 488)(473, 486)(476, 510)(477, 500)(479, 512)(480, 513)(481, 514)(484, 519)(485, 520)(487, 522)(492, 527)(493, 517)(498, 532)(499, 533)(501, 531)(504, 539)(506, 542)(507, 543)(508, 525)(509, 546)(511, 548)(515, 552)(516, 553)(518, 551)(521, 559)(523, 562)(524, 563)(526, 566)(528, 568)(529, 550)(530, 549)(534, 565)(535, 571)(536, 560)(537, 567)(538, 572)(540, 556)(541, 569)(544, 570)(545, 554)(547, 557)(555, 575)(558, 576)(561, 573)(564, 574)
	L = (1, 289)(2, 290)(3, 291)(4, 292)(5, 293)(6, 294)(7, 295)(8, 296)(9, 297)(10, 298)(11, 299)(12, 300)(13, 301)(14, 302)(15, 303)(16, 304)(17, 305)(18, 306)(19, 307)(20, 308)(21, 309)(22, 310)(23, 311)(24, 312)(25, 313)(26, 314)(27, 315)(28, 316)(29, 317)(30, 318)(31, 319)(32, 320)(33, 321)(34, 322)(35, 323)(36, 324)(37, 325)(38, 326)(39, 327)(40, 328)(41, 329)(42, 330)(43, 331)(44, 332)(45, 333)(46, 334)(47, 335)(48, 336)(49, 337)(50, 338)(51, 339)(52, 340)(53, 341)(54, 342)(55, 343)(56, 344)(57, 345)(58, 346)(59, 347)(60, 348)(61, 349)(62, 350)(63, 351)(64, 352)(65, 353)(66, 354)(67, 355)(68, 356)(69, 357)(70, 358)(71, 359)(72, 360)(73, 361)(74, 362)(75, 363)(76, 364)(77, 365)(78, 366)(79, 367)(80, 368)(81, 369)(82, 370)(83, 371)(84, 372)(85, 373)(86, 374)(87, 375)(88, 376)(89, 377)(90, 378)(91, 379)(92, 380)(93, 381)(94, 382)(95, 383)(96, 384)(97, 385)(98, 386)(99, 387)(100, 388)(101, 389)(102, 390)(103, 391)(104, 392)(105, 393)(106, 394)(107, 395)(108, 396)(109, 397)(110, 398)(111, 399)(112, 400)(113, 401)(114, 402)(115, 403)(116, 404)(117, 405)(118, 406)(119, 407)(120, 408)(121, 409)(122, 410)(123, 411)(124, 412)(125, 413)(126, 414)(127, 415)(128, 416)(129, 417)(130, 418)(131, 419)(132, 420)(133, 421)(134, 422)(135, 423)(136, 424)(137, 425)(138, 426)(139, 427)(140, 428)(141, 429)(142, 430)(143, 431)(144, 432)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 32, 32 ), ( 32^4 ) }
Outer automorphisms :: reflexible
Dual of E28.2595
Graph:: simple bipartite
	v = 216 e = 288 f = 18
	degree seq :: [ 2^144, 4^72 ]

E28.2590 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 8})
Quotient :: edge^2
Aut^+ = (C3 x SL(2,3)) : C2 (small group id <144, 125>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y1 * Y3^-1)^3, (Y2 * Y1 * Y3^-1)^2, (Y3^-1 * Y2)^3, Y2 * Y1 * Y3 * Y2 * Y3^-2 * Y1 * Y3, Y3^8, Y2 * Y3^-4 * Y2 * Y3^4, Y2 * Y1 * Y3^-3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1, Y2 * Y3 * Y2 * Y1 * Y3 * Y1 * Y2 * Y3^-2 * Y1, Y2 * Y3^-2 * Y2 * Y3^-2 * Y1 * Y3^-2 * Y1, Y3^2 * Y2 * Y3^-1 * Y2 * Y3^3 * Y2 * Y3 ]
Map:: polytopal
	R = (1, 145, 4, 148, 14, 158, 40, 184, 94, 238, 46, 190, 17, 161, 5, 149)(2, 146, 7, 151, 23, 167, 60, 204, 131, 275, 66, 210, 26, 170, 8, 152)(3, 147, 10, 154, 31, 175, 78, 222, 104, 248, 83, 227, 34, 178, 11, 155)(6, 150, 19, 163, 51, 195, 115, 259, 67, 211, 120, 264, 54, 198, 20, 164)(9, 153, 28, 172, 72, 216, 106, 250, 47, 191, 105, 249, 73, 217, 29, 173)(12, 156, 24, 168, 62, 206, 108, 252, 102, 246, 129, 273, 85, 229, 35, 179)(13, 157, 33, 177, 80, 224, 142, 286, 103, 247, 107, 251, 52, 196, 37, 181)(15, 159, 42, 186, 71, 215, 139, 283, 92, 236, 122, 266, 55, 199, 21, 165)(16, 160, 43, 187, 99, 243, 132, 276, 93, 237, 123, 267, 75, 219, 30, 174)(18, 162, 48, 192, 109, 253, 69, 213, 27, 171, 68, 212, 110, 254, 49, 193)(22, 166, 53, 197, 117, 261, 144, 288, 140, 284, 70, 214, 32, 176, 57, 201)(25, 169, 63, 207, 136, 280, 95, 239, 130, 274, 86, 230, 112, 256, 50, 194)(36, 180, 59, 203, 126, 270, 100, 244, 135, 279, 65, 209, 138, 282, 87, 231)(38, 182, 84, 228, 119, 263, 97, 241, 44, 188, 79, 223, 114, 258, 90, 234)(39, 183, 89, 233, 137, 281, 98, 242, 45, 189, 101, 245, 124, 268, 56, 200)(41, 185, 96, 240, 141, 285, 76, 220, 111, 255, 91, 235, 125, 269, 81, 225)(58, 202, 121, 265, 82, 226, 134, 278, 64, 208, 116, 260, 77, 221, 127, 271)(61, 205, 133, 277, 143, 287, 113, 257, 74, 218, 128, 272, 88, 232, 118, 262)(289, 290)(291, 297)(292, 300)(293, 303)(294, 306)(295, 309)(296, 312)(298, 313)(299, 320)(301, 324)(302, 326)(304, 307)(305, 332)(308, 340)(310, 344)(311, 346)(314, 352)(315, 355)(316, 358)(317, 351)(318, 362)(319, 364)(321, 356)(322, 369)(323, 372)(325, 376)(327, 379)(328, 380)(329, 383)(330, 385)(331, 337)(333, 384)(334, 390)(335, 392)(336, 395)(338, 399)(339, 401)(341, 393)(342, 406)(343, 409)(345, 413)(347, 416)(348, 417)(349, 420)(350, 422)(353, 421)(354, 427)(357, 411)(359, 404)(360, 425)(361, 412)(363, 414)(365, 407)(366, 405)(367, 396)(368, 403)(370, 402)(371, 418)(373, 415)(374, 394)(375, 398)(377, 400)(378, 410)(381, 408)(382, 419)(386, 428)(387, 426)(388, 397)(389, 424)(391, 423)(429, 432)(430, 431)(433, 435)(434, 438)(436, 445)(437, 448)(439, 454)(440, 457)(441, 459)(442, 462)(443, 465)(444, 461)(446, 471)(447, 473)(449, 477)(450, 479)(451, 482)(452, 485)(453, 481)(455, 491)(456, 493)(458, 497)(460, 503)(463, 509)(464, 511)(466, 514)(467, 500)(468, 518)(469, 521)(470, 519)(472, 525)(474, 520)(475, 530)(476, 532)(478, 535)(480, 540)(483, 546)(484, 548)(486, 551)(487, 537)(488, 555)(489, 558)(490, 556)(492, 562)(494, 557)(495, 567)(496, 569)(498, 572)(499, 563)(501, 571)(502, 547)(504, 560)(505, 565)(506, 561)(507, 559)(508, 545)(510, 539)(512, 553)(513, 550)(515, 564)(516, 549)(517, 573)(522, 544)(523, 541)(524, 543)(526, 536)(527, 552)(528, 542)(529, 568)(531, 566)(533, 574)(534, 538)(554, 575)(570, 576)
	L = (1, 289)(2, 290)(3, 291)(4, 292)(5, 293)(6, 294)(7, 295)(8, 296)(9, 297)(10, 298)(11, 299)(12, 300)(13, 301)(14, 302)(15, 303)(16, 304)(17, 305)(18, 306)(19, 307)(20, 308)(21, 309)(22, 310)(23, 311)(24, 312)(25, 313)(26, 314)(27, 315)(28, 316)(29, 317)(30, 318)(31, 319)(32, 320)(33, 321)(34, 322)(35, 323)(36, 324)(37, 325)(38, 326)(39, 327)(40, 328)(41, 329)(42, 330)(43, 331)(44, 332)(45, 333)(46, 334)(47, 335)(48, 336)(49, 337)(50, 338)(51, 339)(52, 340)(53, 341)(54, 342)(55, 343)(56, 344)(57, 345)(58, 346)(59, 347)(60, 348)(61, 349)(62, 350)(63, 351)(64, 352)(65, 353)(66, 354)(67, 355)(68, 356)(69, 357)(70, 358)(71, 359)(72, 360)(73, 361)(74, 362)(75, 363)(76, 364)(77, 365)(78, 366)(79, 367)(80, 368)(81, 369)(82, 370)(83, 371)(84, 372)(85, 373)(86, 374)(87, 375)(88, 376)(89, 377)(90, 378)(91, 379)(92, 380)(93, 381)(94, 382)(95, 383)(96, 384)(97, 385)(98, 386)(99, 387)(100, 388)(101, 389)(102, 390)(103, 391)(104, 392)(105, 393)(106, 394)(107, 395)(108, 396)(109, 397)(110, 398)(111, 399)(112, 400)(113, 401)(114, 402)(115, 403)(116, 404)(117, 405)(118, 406)(119, 407)(120, 408)(121, 409)(122, 410)(123, 411)(124, 412)(125, 413)(126, 414)(127, 415)(128, 416)(129, 417)(130, 418)(131, 419)(132, 420)(133, 421)(134, 422)(135, 423)(136, 424)(137, 425)(138, 426)(139, 427)(140, 428)(141, 429)(142, 430)(143, 431)(144, 432)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 8, 8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E28.2592
Graph:: simple bipartite
	v = 162 e = 288 f = 72
	degree seq :: [ 2^144, 16^18 ]

E28.2591 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 8})
Quotient :: edge^2
Aut^+ = (C3 x SL(2,3)) : C2 (small group id <144, 125>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y1 * Y3^-1 * Y2)^2, Y3^-1 * Y1 * Y3^-1 * Y2 * Y3 * Y2 * Y1 * Y2, Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^3 * Y2, Y3^-2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2, Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-2, Y3^8, Y1 * Y2 * Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y3^-1, (Y3 * Y1 * Y3^2 * Y2)^2 ]
Map:: polytopal
	R = (1, 145, 4, 148, 14, 158, 42, 186, 101, 245, 50, 194, 17, 161, 5, 149)(2, 146, 7, 151, 23, 167, 66, 210, 134, 278, 74, 218, 26, 170, 8, 152)(3, 147, 10, 154, 31, 175, 86, 230, 108, 252, 91, 235, 34, 178, 11, 155)(6, 150, 19, 163, 55, 199, 119, 263, 75, 219, 124, 268, 58, 202, 20, 164)(9, 153, 28, 172, 78, 222, 110, 254, 51, 195, 109, 253, 80, 224, 29, 173)(12, 156, 35, 179, 92, 236, 136, 280, 69, 213, 24, 168, 68, 212, 36, 180)(13, 157, 38, 182, 94, 238, 141, 285, 88, 232, 33, 177, 56, 200, 39, 183)(15, 159, 44, 188, 60, 204, 21, 165, 59, 203, 125, 269, 103, 247, 45, 189)(16, 160, 46, 190, 83, 227, 30, 174, 82, 226, 112, 256, 104, 248, 47, 191)(18, 162, 52, 196, 111, 255, 77, 221, 27, 171, 76, 220, 113, 257, 53, 197)(22, 166, 62, 206, 127, 271, 143, 287, 121, 265, 57, 201, 32, 176, 63, 207)(25, 169, 70, 214, 116, 260, 54, 198, 115, 259, 79, 223, 137, 281, 71, 215)(37, 181, 65, 209, 133, 277, 105, 249, 140, 284, 73, 217, 129, 273, 93, 237)(40, 184, 97, 241, 123, 267, 106, 250, 48, 192, 87, 231, 118, 262, 98, 242)(41, 185, 100, 244, 138, 282, 107, 251, 49, 193, 96, 240, 126, 270, 61, 205)(43, 187, 102, 246, 128, 272, 84, 228, 114, 258, 99, 243, 142, 286, 89, 233)(64, 208, 130, 274, 90, 234, 139, 283, 72, 216, 120, 264, 85, 229, 131, 275)(67, 211, 135, 279, 95, 239, 117, 261, 81, 225, 132, 276, 144, 288, 122, 266)(289, 290)(291, 297)(292, 300)(293, 303)(294, 306)(295, 309)(296, 312)(298, 313)(299, 320)(301, 325)(302, 328)(304, 307)(305, 336)(308, 344)(310, 349)(311, 352)(314, 360)(315, 363)(316, 350)(317, 367)(318, 369)(319, 372)(321, 364)(322, 377)(323, 354)(324, 375)(326, 340)(327, 383)(329, 387)(330, 347)(331, 359)(332, 386)(333, 362)(334, 365)(335, 355)(337, 390)(338, 357)(339, 396)(341, 400)(342, 402)(343, 405)(345, 397)(346, 410)(348, 408)(351, 416)(353, 420)(356, 419)(358, 398)(361, 423)(366, 426)(368, 414)(370, 412)(371, 417)(373, 411)(374, 415)(376, 428)(378, 406)(379, 403)(380, 427)(381, 401)(382, 407)(384, 404)(385, 424)(388, 425)(389, 422)(391, 418)(392, 421)(393, 399)(394, 413)(395, 409)(429, 432)(430, 431)(433, 435)(434, 438)(436, 445)(437, 448)(439, 454)(440, 457)(441, 459)(442, 462)(443, 465)(444, 461)(446, 473)(447, 475)(449, 481)(450, 483)(451, 486)(452, 489)(453, 485)(455, 497)(456, 499)(458, 505)(460, 492)(463, 517)(464, 519)(466, 522)(467, 513)(468, 484)(469, 502)(470, 518)(471, 528)(472, 525)(474, 514)(476, 527)(477, 509)(478, 493)(479, 523)(480, 537)(482, 520)(487, 550)(488, 552)(490, 555)(491, 546)(494, 551)(495, 561)(496, 558)(498, 547)(500, 560)(501, 542)(503, 556)(504, 570)(506, 553)(507, 566)(508, 568)(510, 564)(511, 572)(512, 567)(515, 571)(516, 549)(521, 554)(524, 574)(526, 562)(529, 559)(530, 569)(531, 543)(532, 573)(533, 540)(534, 545)(535, 541)(536, 563)(538, 548)(539, 544)(557, 576)(565, 575)
	L = (1, 289)(2, 290)(3, 291)(4, 292)(5, 293)(6, 294)(7, 295)(8, 296)(9, 297)(10, 298)(11, 299)(12, 300)(13, 301)(14, 302)(15, 303)(16, 304)(17, 305)(18, 306)(19, 307)(20, 308)(21, 309)(22, 310)(23, 311)(24, 312)(25, 313)(26, 314)(27, 315)(28, 316)(29, 317)(30, 318)(31, 319)(32, 320)(33, 321)(34, 322)(35, 323)(36, 324)(37, 325)(38, 326)(39, 327)(40, 328)(41, 329)(42, 330)(43, 331)(44, 332)(45, 333)(46, 334)(47, 335)(48, 336)(49, 337)(50, 338)(51, 339)(52, 340)(53, 341)(54, 342)(55, 343)(56, 344)(57, 345)(58, 346)(59, 347)(60, 348)(61, 349)(62, 350)(63, 351)(64, 352)(65, 353)(66, 354)(67, 355)(68, 356)(69, 357)(70, 358)(71, 359)(72, 360)(73, 361)(74, 362)(75, 363)(76, 364)(77, 365)(78, 366)(79, 367)(80, 368)(81, 369)(82, 370)(83, 371)(84, 372)(85, 373)(86, 374)(87, 375)(88, 376)(89, 377)(90, 378)(91, 379)(92, 380)(93, 381)(94, 382)(95, 383)(96, 384)(97, 385)(98, 386)(99, 387)(100, 388)(101, 389)(102, 390)(103, 391)(104, 392)(105, 393)(106, 394)(107, 395)(108, 396)(109, 397)(110, 398)(111, 399)(112, 400)(113, 401)(114, 402)(115, 403)(116, 404)(117, 405)(118, 406)(119, 407)(120, 408)(121, 409)(122, 410)(123, 411)(124, 412)(125, 413)(126, 414)(127, 415)(128, 416)(129, 417)(130, 418)(131, 419)(132, 420)(133, 421)(134, 422)(135, 423)(136, 424)(137, 425)(138, 426)(139, 427)(140, 428)(141, 429)(142, 430)(143, 431)(144, 432)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 8, 8 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E28.2593
Graph:: simple bipartite
	v = 162 e = 288 f = 72
	degree seq :: [ 2^144, 16^18 ]

E28.2592 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 8})
Quotient :: loop^2
Aut^+ = (C3 x SL(2,3)) : C2 (small group id <144, 125>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y3 * Y1)^3, (Y2 * Y3)^3, (Y2 * Y1)^6, Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y3 * Y1 * Y2 * Y1, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 ]
Map::
	R = (1, 145, 289, 433, 4, 148, 292, 436)(2, 146, 290, 434, 6, 150, 294, 438)(3, 147, 291, 435, 8, 152, 296, 440)(5, 149, 293, 437, 12, 156, 300, 444)(7, 151, 295, 439, 16, 160, 304, 448)(9, 153, 297, 441, 13, 157, 301, 445)(10, 154, 298, 442, 18, 162, 306, 450)(11, 155, 299, 443, 22, 166, 310, 454)(14, 158, 302, 446, 24, 168, 312, 456)(15, 159, 303, 447, 28, 172, 316, 460)(17, 161, 305, 449, 29, 173, 317, 461)(19, 163, 307, 451, 34, 178, 322, 466)(20, 164, 308, 452, 36, 180, 324, 468)(21, 165, 309, 453, 38, 182, 326, 470)(23, 167, 311, 455, 39, 183, 327, 471)(25, 169, 313, 457, 44, 188, 332, 476)(26, 170, 314, 458, 46, 190, 334, 478)(27, 171, 315, 459, 48, 192, 336, 480)(30, 174, 318, 462, 50, 194, 338, 482)(31, 175, 319, 463, 54, 198, 342, 486)(32, 176, 320, 464, 56, 200, 344, 488)(33, 177, 321, 465, 58, 202, 346, 490)(35, 179, 323, 467, 61, 205, 349, 493)(37, 181, 325, 469, 64, 208, 352, 496)(40, 184, 328, 472, 66, 210, 354, 498)(41, 185, 329, 473, 70, 214, 358, 502)(42, 186, 330, 474, 72, 216, 360, 504)(43, 187, 331, 475, 74, 218, 362, 506)(45, 189, 333, 477, 77, 221, 365, 509)(47, 191, 335, 479, 79, 223, 367, 511)(49, 193, 337, 481, 80, 224, 368, 512)(51, 195, 339, 483, 85, 229, 373, 517)(52, 196, 340, 484, 87, 231, 375, 519)(53, 197, 341, 485, 89, 233, 377, 521)(55, 199, 343, 487, 92, 236, 380, 524)(57, 201, 345, 489, 95, 239, 383, 527)(59, 203, 347, 491, 96, 240, 384, 528)(60, 204, 348, 492, 100, 244, 388, 532)(62, 206, 350, 494, 102, 246, 390, 534)(63, 207, 351, 495, 104, 248, 392, 536)(65, 209, 353, 497, 105, 249, 393, 537)(67, 211, 355, 499, 110, 254, 398, 542)(68, 212, 356, 500, 112, 256, 400, 544)(69, 213, 357, 501, 114, 258, 402, 546)(71, 215, 359, 503, 117, 261, 405, 549)(73, 217, 361, 505, 120, 264, 408, 552)(75, 219, 363, 507, 121, 265, 409, 553)(76, 220, 364, 508, 125, 269, 413, 557)(78, 222, 366, 510, 127, 271, 415, 559)(81, 225, 369, 513, 119, 263, 407, 551)(82, 226, 370, 514, 129, 273, 417, 561)(83, 227, 371, 515, 123, 267, 411, 555)(84, 228, 372, 516, 130, 274, 418, 562)(86, 230, 374, 518, 131, 275, 419, 563)(88, 232, 376, 520, 133, 277, 421, 565)(90, 234, 378, 522, 122, 266, 410, 554)(91, 235, 379, 523, 128, 272, 416, 560)(93, 237, 381, 525, 135, 279, 423, 567)(94, 238, 382, 526, 106, 250, 394, 538)(97, 241, 385, 529, 115, 259, 403, 547)(98, 242, 386, 530, 108, 252, 396, 540)(99, 243, 387, 531, 124, 268, 412, 556)(101, 245, 389, 533, 132, 276, 420, 564)(103, 247, 391, 535, 116, 260, 404, 548)(107, 251, 395, 539, 136, 280, 424, 568)(109, 253, 397, 541, 137, 281, 425, 569)(111, 255, 399, 543, 138, 282, 426, 570)(113, 257, 401, 545, 140, 284, 428, 572)(118, 262, 406, 550, 142, 286, 430, 574)(126, 270, 414, 558, 139, 283, 427, 571)(134, 278, 422, 566, 143, 287, 431, 575)(141, 285, 429, 573, 144, 288, 432, 576)
	L = (1, 146)(2, 145)(3, 151)(4, 153)(5, 155)(6, 157)(7, 147)(8, 161)(9, 148)(10, 164)(11, 149)(12, 167)(13, 150)(14, 170)(15, 171)(16, 173)(17, 152)(18, 176)(19, 177)(20, 154)(21, 181)(22, 183)(23, 156)(24, 186)(25, 187)(26, 158)(27, 159)(28, 193)(29, 160)(30, 196)(31, 197)(32, 162)(33, 163)(34, 203)(35, 204)(36, 200)(37, 165)(38, 209)(39, 166)(40, 212)(41, 213)(42, 168)(43, 169)(44, 219)(45, 220)(46, 216)(47, 207)(48, 224)(49, 172)(50, 227)(51, 228)(52, 174)(53, 175)(54, 234)(55, 235)(56, 180)(57, 238)(58, 240)(59, 178)(60, 179)(61, 245)(62, 247)(63, 191)(64, 249)(65, 182)(66, 252)(67, 253)(68, 184)(69, 185)(70, 259)(71, 260)(72, 190)(73, 263)(74, 265)(75, 188)(76, 189)(77, 270)(78, 272)(79, 268)(80, 192)(81, 257)(82, 255)(83, 194)(84, 195)(85, 262)(86, 251)(87, 267)(88, 250)(89, 266)(90, 198)(91, 199)(92, 271)(93, 254)(94, 201)(95, 277)(96, 202)(97, 258)(98, 256)(99, 248)(100, 276)(101, 205)(102, 261)(103, 206)(104, 243)(105, 208)(106, 232)(107, 230)(108, 210)(109, 211)(110, 237)(111, 226)(112, 242)(113, 225)(114, 241)(115, 214)(116, 215)(117, 246)(118, 229)(119, 217)(120, 284)(121, 218)(122, 233)(123, 231)(124, 223)(125, 283)(126, 221)(127, 236)(128, 222)(129, 287)(130, 286)(131, 285)(132, 244)(133, 239)(134, 282)(135, 281)(136, 288)(137, 279)(138, 278)(139, 269)(140, 264)(141, 275)(142, 274)(143, 273)(144, 280)(289, 435)(290, 437)(291, 433)(292, 442)(293, 434)(294, 446)(295, 447)(296, 450)(297, 451)(298, 436)(299, 453)(300, 456)(301, 457)(302, 438)(303, 439)(304, 462)(305, 463)(306, 440)(307, 441)(308, 467)(309, 443)(310, 472)(311, 473)(312, 444)(313, 445)(314, 477)(315, 479)(316, 482)(317, 483)(318, 448)(319, 449)(320, 487)(321, 489)(322, 476)(323, 452)(324, 494)(325, 495)(326, 498)(327, 499)(328, 454)(329, 455)(330, 503)(331, 505)(332, 466)(333, 458)(334, 510)(335, 459)(336, 513)(337, 514)(338, 460)(339, 461)(340, 518)(341, 520)(342, 517)(343, 464)(344, 525)(345, 465)(346, 529)(347, 530)(348, 531)(349, 534)(350, 468)(351, 469)(352, 538)(353, 539)(354, 470)(355, 471)(356, 543)(357, 545)(358, 542)(359, 474)(360, 550)(361, 475)(362, 554)(363, 555)(364, 556)(365, 559)(366, 478)(367, 551)(368, 548)(369, 480)(370, 481)(371, 541)(372, 540)(373, 486)(374, 484)(375, 564)(376, 485)(377, 566)(378, 552)(379, 537)(380, 567)(381, 488)(382, 536)(383, 547)(384, 562)(385, 490)(386, 491)(387, 492)(388, 557)(389, 563)(390, 493)(391, 561)(392, 526)(393, 523)(394, 496)(395, 497)(396, 516)(397, 515)(398, 502)(399, 500)(400, 571)(401, 501)(402, 573)(403, 527)(404, 512)(405, 574)(406, 504)(407, 511)(408, 522)(409, 569)(410, 506)(411, 507)(412, 508)(413, 532)(414, 570)(415, 509)(416, 568)(417, 535)(418, 528)(419, 533)(420, 519)(421, 575)(422, 521)(423, 524)(424, 560)(425, 553)(426, 558)(427, 544)(428, 576)(429, 546)(430, 549)(431, 565)(432, 572)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.2590
Transitivity :: VT+
Graph::
	v = 72 e = 288 f = 162
	degree seq :: [ 8^72 ]

E28.2593 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 8})
Quotient :: loop^2
Aut^+ = (C3 x SL(2,3)) : C2 (small group id <144, 125>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1 * Y3 * Y1, Y2 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y2 * Y1, Y2 * Y1 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y1, (Y3 * Y1)^6, Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 ]
Map::
	R = (1, 145, 289, 433, 4, 148, 292, 436)(2, 146, 290, 434, 6, 150, 294, 438)(3, 147, 291, 435, 8, 152, 296, 440)(5, 149, 293, 437, 12, 156, 300, 444)(7, 151, 295, 439, 16, 160, 304, 448)(9, 153, 297, 441, 20, 164, 308, 452)(10, 154, 298, 442, 22, 166, 310, 454)(11, 155, 299, 443, 24, 168, 312, 456)(13, 157, 301, 445, 28, 172, 316, 460)(14, 158, 302, 446, 30, 174, 318, 462)(15, 159, 303, 447, 32, 176, 320, 464)(17, 161, 305, 449, 36, 180, 324, 468)(18, 162, 306, 450, 38, 182, 326, 470)(19, 163, 307, 451, 40, 184, 328, 472)(21, 165, 309, 453, 44, 188, 332, 476)(23, 167, 311, 455, 48, 192, 336, 480)(25, 169, 313, 457, 52, 196, 340, 484)(26, 170, 314, 458, 54, 198, 342, 486)(27, 171, 315, 459, 56, 200, 344, 488)(29, 173, 317, 461, 60, 204, 348, 492)(31, 175, 319, 463, 62, 206, 350, 494)(33, 177, 321, 465, 66, 210, 354, 498)(34, 178, 322, 466, 50, 194, 338, 482)(35, 179, 323, 467, 69, 213, 357, 501)(37, 181, 325, 469, 72, 216, 360, 504)(39, 183, 327, 471, 74, 218, 362, 506)(41, 185, 329, 473, 63, 207, 351, 495)(42, 186, 330, 474, 76, 220, 364, 508)(43, 187, 331, 475, 77, 221, 365, 509)(45, 189, 333, 477, 79, 223, 367, 511)(46, 190, 334, 478, 47, 191, 335, 479)(49, 193, 337, 481, 83, 227, 371, 515)(51, 195, 339, 483, 86, 230, 374, 518)(53, 197, 341, 485, 89, 233, 377, 521)(55, 199, 343, 487, 91, 235, 379, 523)(57, 201, 345, 489, 80, 224, 368, 512)(58, 202, 346, 490, 93, 237, 381, 525)(59, 203, 347, 491, 94, 238, 382, 526)(61, 205, 349, 493, 96, 240, 384, 528)(64, 208, 352, 496, 81, 225, 369, 513)(65, 209, 353, 497, 99, 243, 387, 531)(67, 211, 355, 499, 102, 246, 390, 534)(68, 212, 356, 500, 103, 247, 391, 535)(70, 214, 358, 502, 105, 249, 393, 537)(71, 215, 359, 503, 106, 250, 394, 538)(73, 217, 361, 505, 108, 252, 396, 540)(75, 219, 363, 507, 112, 256, 400, 544)(78, 222, 366, 510, 110, 254, 398, 542)(82, 226, 370, 514, 119, 263, 407, 551)(84, 228, 372, 516, 122, 266, 410, 554)(85, 229, 373, 517, 123, 267, 411, 555)(87, 231, 375, 519, 125, 269, 413, 557)(88, 232, 376, 520, 126, 270, 414, 558)(90, 234, 378, 522, 128, 272, 416, 560)(92, 236, 380, 524, 132, 276, 420, 564)(95, 239, 383, 527, 130, 274, 418, 562)(97, 241, 385, 529, 131, 275, 419, 563)(98, 242, 386, 530, 137, 281, 425, 569)(100, 244, 388, 532, 135, 279, 423, 567)(101, 245, 389, 533, 138, 282, 426, 570)(104, 248, 392, 536, 134, 278, 422, 566)(107, 251, 395, 539, 139, 283, 427, 571)(109, 253, 397, 541, 133, 277, 421, 565)(111, 255, 399, 543, 117, 261, 405, 549)(113, 257, 401, 545, 129, 273, 417, 561)(114, 258, 402, 546, 124, 268, 412, 556)(115, 259, 403, 547, 120, 264, 408, 552)(116, 260, 404, 548, 140, 284, 428, 572)(118, 262, 406, 550, 141, 285, 429, 573)(121, 265, 409, 553, 142, 286, 430, 574)(127, 271, 415, 559, 143, 287, 431, 575)(136, 280, 424, 568, 144, 288, 432, 576)
	L = (1, 146)(2, 145)(3, 151)(4, 153)(5, 155)(6, 157)(7, 147)(8, 161)(9, 148)(10, 165)(11, 149)(12, 169)(13, 150)(14, 173)(15, 175)(16, 177)(17, 152)(18, 181)(19, 183)(20, 185)(21, 154)(22, 189)(23, 191)(24, 193)(25, 156)(26, 197)(27, 199)(28, 201)(29, 158)(30, 205)(31, 159)(32, 196)(33, 160)(34, 211)(35, 212)(36, 192)(37, 162)(38, 217)(39, 163)(40, 219)(41, 164)(42, 203)(43, 202)(44, 216)(45, 166)(46, 210)(47, 167)(48, 180)(49, 168)(50, 228)(51, 229)(52, 176)(53, 170)(54, 234)(55, 171)(56, 236)(57, 172)(58, 187)(59, 186)(60, 233)(61, 174)(62, 227)(63, 224)(64, 241)(65, 242)(66, 190)(67, 178)(68, 179)(69, 248)(70, 245)(71, 244)(72, 188)(73, 182)(74, 253)(75, 184)(76, 257)(77, 256)(78, 259)(79, 252)(80, 207)(81, 261)(82, 262)(83, 206)(84, 194)(85, 195)(86, 268)(87, 265)(88, 264)(89, 204)(90, 198)(91, 273)(92, 200)(93, 277)(94, 276)(95, 279)(96, 272)(97, 208)(98, 209)(99, 271)(100, 215)(101, 214)(102, 275)(103, 274)(104, 213)(105, 280)(106, 278)(107, 263)(108, 223)(109, 218)(110, 267)(111, 266)(112, 221)(113, 220)(114, 270)(115, 222)(116, 269)(117, 225)(118, 226)(119, 251)(120, 232)(121, 231)(122, 255)(123, 254)(124, 230)(125, 260)(126, 258)(127, 243)(128, 240)(129, 235)(130, 247)(131, 246)(132, 238)(133, 237)(134, 250)(135, 239)(136, 249)(137, 288)(138, 287)(139, 286)(140, 285)(141, 284)(142, 283)(143, 282)(144, 281)(289, 435)(290, 437)(291, 433)(292, 442)(293, 434)(294, 446)(295, 447)(296, 450)(297, 451)(298, 436)(299, 455)(300, 458)(301, 459)(302, 438)(303, 439)(304, 466)(305, 467)(306, 440)(307, 441)(308, 474)(309, 475)(310, 478)(311, 443)(312, 482)(313, 483)(314, 444)(315, 445)(316, 490)(317, 491)(318, 494)(319, 495)(320, 496)(321, 497)(322, 448)(323, 449)(324, 502)(325, 503)(326, 489)(327, 505)(328, 488)(329, 486)(330, 452)(331, 453)(332, 510)(333, 500)(334, 454)(335, 512)(336, 513)(337, 514)(338, 456)(339, 457)(340, 519)(341, 520)(342, 473)(343, 522)(344, 472)(345, 470)(346, 460)(347, 461)(348, 527)(349, 517)(350, 462)(351, 463)(352, 464)(353, 465)(354, 532)(355, 533)(356, 477)(357, 531)(358, 468)(359, 469)(360, 539)(361, 471)(362, 542)(363, 543)(364, 525)(365, 546)(366, 476)(367, 548)(368, 479)(369, 480)(370, 481)(371, 552)(372, 553)(373, 493)(374, 551)(375, 484)(376, 485)(377, 559)(378, 487)(379, 562)(380, 563)(381, 508)(382, 566)(383, 492)(384, 568)(385, 550)(386, 549)(387, 501)(388, 498)(389, 499)(390, 565)(391, 571)(392, 560)(393, 567)(394, 572)(395, 504)(396, 556)(397, 569)(398, 506)(399, 507)(400, 570)(401, 554)(402, 509)(403, 557)(404, 511)(405, 530)(406, 529)(407, 518)(408, 515)(409, 516)(410, 545)(411, 575)(412, 540)(413, 547)(414, 576)(415, 521)(416, 536)(417, 573)(418, 523)(419, 524)(420, 574)(421, 534)(422, 526)(423, 537)(424, 528)(425, 541)(426, 544)(427, 535)(428, 538)(429, 561)(430, 564)(431, 555)(432, 558)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.2591
Transitivity :: VT+
Graph::
	v = 72 e = 288 f = 162
	degree seq :: [ 8^72 ]

E28.2594 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 8})
Quotient :: loop^2
Aut^+ = (C3 x SL(2,3)) : C2 (small group id <144, 125>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y1 * Y3^-1)^3, (Y2 * Y1 * Y3^-1)^2, (Y3^-1 * Y2)^3, Y2 * Y1 * Y3 * Y2 * Y3^-2 * Y1 * Y3, Y3^8, Y2 * Y3^-4 * Y2 * Y3^4, Y2 * Y1 * Y3^-3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1, Y2 * Y3 * Y2 * Y1 * Y3 * Y1 * Y2 * Y3^-2 * Y1, Y2 * Y3^-2 * Y2 * Y3^-2 * Y1 * Y3^-2 * Y1, Y3^2 * Y2 * Y3^-1 * Y2 * Y3^3 * Y2 * Y3 ]
Map::
	R = (1, 145, 289, 433, 4, 148, 292, 436, 14, 158, 302, 446, 40, 184, 328, 472, 94, 238, 382, 526, 46, 190, 334, 478, 17, 161, 305, 449, 5, 149, 293, 437)(2, 146, 290, 434, 7, 151, 295, 439, 23, 167, 311, 455, 60, 204, 348, 492, 131, 275, 419, 563, 66, 210, 354, 498, 26, 170, 314, 458, 8, 152, 296, 440)(3, 147, 291, 435, 10, 154, 298, 442, 31, 175, 319, 463, 78, 222, 366, 510, 104, 248, 392, 536, 83, 227, 371, 515, 34, 178, 322, 466, 11, 155, 299, 443)(6, 150, 294, 438, 19, 163, 307, 451, 51, 195, 339, 483, 115, 259, 403, 547, 67, 211, 355, 499, 120, 264, 408, 552, 54, 198, 342, 486, 20, 164, 308, 452)(9, 153, 297, 441, 28, 172, 316, 460, 72, 216, 360, 504, 106, 250, 394, 538, 47, 191, 335, 479, 105, 249, 393, 537, 73, 217, 361, 505, 29, 173, 317, 461)(12, 156, 300, 444, 24, 168, 312, 456, 62, 206, 350, 494, 108, 252, 396, 540, 102, 246, 390, 534, 129, 273, 417, 561, 85, 229, 373, 517, 35, 179, 323, 467)(13, 157, 301, 445, 33, 177, 321, 465, 80, 224, 368, 512, 142, 286, 430, 574, 103, 247, 391, 535, 107, 251, 395, 539, 52, 196, 340, 484, 37, 181, 325, 469)(15, 159, 303, 447, 42, 186, 330, 474, 71, 215, 359, 503, 139, 283, 427, 571, 92, 236, 380, 524, 122, 266, 410, 554, 55, 199, 343, 487, 21, 165, 309, 453)(16, 160, 304, 448, 43, 187, 331, 475, 99, 243, 387, 531, 132, 276, 420, 564, 93, 237, 381, 525, 123, 267, 411, 555, 75, 219, 363, 507, 30, 174, 318, 462)(18, 162, 306, 450, 48, 192, 336, 480, 109, 253, 397, 541, 69, 213, 357, 501, 27, 171, 315, 459, 68, 212, 356, 500, 110, 254, 398, 542, 49, 193, 337, 481)(22, 166, 310, 454, 53, 197, 341, 485, 117, 261, 405, 549, 144, 288, 432, 576, 140, 284, 428, 572, 70, 214, 358, 502, 32, 176, 320, 464, 57, 201, 345, 489)(25, 169, 313, 457, 63, 207, 351, 495, 136, 280, 424, 568, 95, 239, 383, 527, 130, 274, 418, 562, 86, 230, 374, 518, 112, 256, 400, 544, 50, 194, 338, 482)(36, 180, 324, 468, 59, 203, 347, 491, 126, 270, 414, 558, 100, 244, 388, 532, 135, 279, 423, 567, 65, 209, 353, 497, 138, 282, 426, 570, 87, 231, 375, 519)(38, 182, 326, 470, 84, 228, 372, 516, 119, 263, 407, 551, 97, 241, 385, 529, 44, 188, 332, 476, 79, 223, 367, 511, 114, 258, 402, 546, 90, 234, 378, 522)(39, 183, 327, 471, 89, 233, 377, 521, 137, 281, 425, 569, 98, 242, 386, 530, 45, 189, 333, 477, 101, 245, 389, 533, 124, 268, 412, 556, 56, 200, 344, 488)(41, 185, 329, 473, 96, 240, 384, 528, 141, 285, 429, 573, 76, 220, 364, 508, 111, 255, 399, 543, 91, 235, 379, 523, 125, 269, 413, 557, 81, 225, 369, 513)(58, 202, 346, 490, 121, 265, 409, 553, 82, 226, 370, 514, 134, 278, 422, 566, 64, 208, 352, 496, 116, 260, 404, 548, 77, 221, 365, 509, 127, 271, 415, 559)(61, 205, 349, 493, 133, 277, 421, 565, 143, 287, 431, 575, 113, 257, 401, 545, 74, 218, 362, 506, 128, 272, 416, 560, 88, 232, 376, 520, 118, 262, 406, 550)
	L = (1, 146)(2, 145)(3, 153)(4, 156)(5, 159)(6, 162)(7, 165)(8, 168)(9, 147)(10, 169)(11, 176)(12, 148)(13, 180)(14, 182)(15, 149)(16, 163)(17, 188)(18, 150)(19, 160)(20, 196)(21, 151)(22, 200)(23, 202)(24, 152)(25, 154)(26, 208)(27, 211)(28, 214)(29, 207)(30, 218)(31, 220)(32, 155)(33, 212)(34, 225)(35, 228)(36, 157)(37, 232)(38, 158)(39, 235)(40, 236)(41, 239)(42, 241)(43, 193)(44, 161)(45, 240)(46, 246)(47, 248)(48, 251)(49, 187)(50, 255)(51, 257)(52, 164)(53, 249)(54, 262)(55, 265)(56, 166)(57, 269)(58, 167)(59, 272)(60, 273)(61, 276)(62, 278)(63, 173)(64, 170)(65, 277)(66, 283)(67, 171)(68, 177)(69, 267)(70, 172)(71, 260)(72, 281)(73, 268)(74, 174)(75, 270)(76, 175)(77, 263)(78, 261)(79, 252)(80, 259)(81, 178)(82, 258)(83, 274)(84, 179)(85, 271)(86, 250)(87, 254)(88, 181)(89, 256)(90, 266)(91, 183)(92, 184)(93, 264)(94, 275)(95, 185)(96, 189)(97, 186)(98, 284)(99, 282)(100, 253)(101, 280)(102, 190)(103, 279)(104, 191)(105, 197)(106, 230)(107, 192)(108, 223)(109, 244)(110, 231)(111, 194)(112, 233)(113, 195)(114, 226)(115, 224)(116, 215)(117, 222)(118, 198)(119, 221)(120, 237)(121, 199)(122, 234)(123, 213)(124, 217)(125, 201)(126, 219)(127, 229)(128, 203)(129, 204)(130, 227)(131, 238)(132, 205)(133, 209)(134, 206)(135, 247)(136, 245)(137, 216)(138, 243)(139, 210)(140, 242)(141, 288)(142, 287)(143, 286)(144, 285)(289, 435)(290, 438)(291, 433)(292, 445)(293, 448)(294, 434)(295, 454)(296, 457)(297, 459)(298, 462)(299, 465)(300, 461)(301, 436)(302, 471)(303, 473)(304, 437)(305, 477)(306, 479)(307, 482)(308, 485)(309, 481)(310, 439)(311, 491)(312, 493)(313, 440)(314, 497)(315, 441)(316, 503)(317, 444)(318, 442)(319, 509)(320, 511)(321, 443)(322, 514)(323, 500)(324, 518)(325, 521)(326, 519)(327, 446)(328, 525)(329, 447)(330, 520)(331, 530)(332, 532)(333, 449)(334, 535)(335, 450)(336, 540)(337, 453)(338, 451)(339, 546)(340, 548)(341, 452)(342, 551)(343, 537)(344, 555)(345, 558)(346, 556)(347, 455)(348, 562)(349, 456)(350, 557)(351, 567)(352, 569)(353, 458)(354, 572)(355, 563)(356, 467)(357, 571)(358, 547)(359, 460)(360, 560)(361, 565)(362, 561)(363, 559)(364, 545)(365, 463)(366, 539)(367, 464)(368, 553)(369, 550)(370, 466)(371, 564)(372, 549)(373, 573)(374, 468)(375, 470)(376, 474)(377, 469)(378, 544)(379, 541)(380, 543)(381, 472)(382, 536)(383, 552)(384, 542)(385, 568)(386, 475)(387, 566)(388, 476)(389, 574)(390, 538)(391, 478)(392, 526)(393, 487)(394, 534)(395, 510)(396, 480)(397, 523)(398, 528)(399, 524)(400, 522)(401, 508)(402, 483)(403, 502)(404, 484)(405, 516)(406, 513)(407, 486)(408, 527)(409, 512)(410, 575)(411, 488)(412, 490)(413, 494)(414, 489)(415, 507)(416, 504)(417, 506)(418, 492)(419, 499)(420, 515)(421, 505)(422, 531)(423, 495)(424, 529)(425, 496)(426, 576)(427, 501)(428, 498)(429, 517)(430, 533)(431, 554)(432, 570)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.2588
Transitivity :: VT+
Graph::
	v = 18 e = 288 f = 216
	degree seq :: [ 32^18 ]

E28.2595 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 8})
Quotient :: loop^2
Aut^+ = (C3 x SL(2,3)) : C2 (small group id <144, 125>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y1 * Y3^-1 * Y2)^2, Y3^-1 * Y1 * Y3^-1 * Y2 * Y3 * Y2 * Y1 * Y2, Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^3 * Y2, Y3^-2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2, Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-2, Y3^8, Y1 * Y2 * Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y3^-1, (Y3 * Y1 * Y3^2 * Y2)^2 ]
Map::
	R = (1, 145, 289, 433, 4, 148, 292, 436, 14, 158, 302, 446, 42, 186, 330, 474, 101, 245, 389, 533, 50, 194, 338, 482, 17, 161, 305, 449, 5, 149, 293, 437)(2, 146, 290, 434, 7, 151, 295, 439, 23, 167, 311, 455, 66, 210, 354, 498, 134, 278, 422, 566, 74, 218, 362, 506, 26, 170, 314, 458, 8, 152, 296, 440)(3, 147, 291, 435, 10, 154, 298, 442, 31, 175, 319, 463, 86, 230, 374, 518, 108, 252, 396, 540, 91, 235, 379, 523, 34, 178, 322, 466, 11, 155, 299, 443)(6, 150, 294, 438, 19, 163, 307, 451, 55, 199, 343, 487, 119, 263, 407, 551, 75, 219, 363, 507, 124, 268, 412, 556, 58, 202, 346, 490, 20, 164, 308, 452)(9, 153, 297, 441, 28, 172, 316, 460, 78, 222, 366, 510, 110, 254, 398, 542, 51, 195, 339, 483, 109, 253, 397, 541, 80, 224, 368, 512, 29, 173, 317, 461)(12, 156, 300, 444, 35, 179, 323, 467, 92, 236, 380, 524, 136, 280, 424, 568, 69, 213, 357, 501, 24, 168, 312, 456, 68, 212, 356, 500, 36, 180, 324, 468)(13, 157, 301, 445, 38, 182, 326, 470, 94, 238, 382, 526, 141, 285, 429, 573, 88, 232, 376, 520, 33, 177, 321, 465, 56, 200, 344, 488, 39, 183, 327, 471)(15, 159, 303, 447, 44, 188, 332, 476, 60, 204, 348, 492, 21, 165, 309, 453, 59, 203, 347, 491, 125, 269, 413, 557, 103, 247, 391, 535, 45, 189, 333, 477)(16, 160, 304, 448, 46, 190, 334, 478, 83, 227, 371, 515, 30, 174, 318, 462, 82, 226, 370, 514, 112, 256, 400, 544, 104, 248, 392, 536, 47, 191, 335, 479)(18, 162, 306, 450, 52, 196, 340, 484, 111, 255, 399, 543, 77, 221, 365, 509, 27, 171, 315, 459, 76, 220, 364, 508, 113, 257, 401, 545, 53, 197, 341, 485)(22, 166, 310, 454, 62, 206, 350, 494, 127, 271, 415, 559, 143, 287, 431, 575, 121, 265, 409, 553, 57, 201, 345, 489, 32, 176, 320, 464, 63, 207, 351, 495)(25, 169, 313, 457, 70, 214, 358, 502, 116, 260, 404, 548, 54, 198, 342, 486, 115, 259, 403, 547, 79, 223, 367, 511, 137, 281, 425, 569, 71, 215, 359, 503)(37, 181, 325, 469, 65, 209, 353, 497, 133, 277, 421, 565, 105, 249, 393, 537, 140, 284, 428, 572, 73, 217, 361, 505, 129, 273, 417, 561, 93, 237, 381, 525)(40, 184, 328, 472, 97, 241, 385, 529, 123, 267, 411, 555, 106, 250, 394, 538, 48, 192, 336, 480, 87, 231, 375, 519, 118, 262, 406, 550, 98, 242, 386, 530)(41, 185, 329, 473, 100, 244, 388, 532, 138, 282, 426, 570, 107, 251, 395, 539, 49, 193, 337, 481, 96, 240, 384, 528, 126, 270, 414, 558, 61, 205, 349, 493)(43, 187, 331, 475, 102, 246, 390, 534, 128, 272, 416, 560, 84, 228, 372, 516, 114, 258, 402, 546, 99, 243, 387, 531, 142, 286, 430, 574, 89, 233, 377, 521)(64, 208, 352, 496, 130, 274, 418, 562, 90, 234, 378, 522, 139, 283, 427, 571, 72, 216, 360, 504, 120, 264, 408, 552, 85, 229, 373, 517, 131, 275, 419, 563)(67, 211, 355, 499, 135, 279, 423, 567, 95, 239, 383, 527, 117, 261, 405, 549, 81, 225, 369, 513, 132, 276, 420, 564, 144, 288, 432, 576, 122, 266, 410, 554)
	L = (1, 146)(2, 145)(3, 153)(4, 156)(5, 159)(6, 162)(7, 165)(8, 168)(9, 147)(10, 169)(11, 176)(12, 148)(13, 181)(14, 184)(15, 149)(16, 163)(17, 192)(18, 150)(19, 160)(20, 200)(21, 151)(22, 205)(23, 208)(24, 152)(25, 154)(26, 216)(27, 219)(28, 206)(29, 223)(30, 225)(31, 228)(32, 155)(33, 220)(34, 233)(35, 210)(36, 231)(37, 157)(38, 196)(39, 239)(40, 158)(41, 243)(42, 203)(43, 215)(44, 242)(45, 218)(46, 221)(47, 211)(48, 161)(49, 246)(50, 213)(51, 252)(52, 182)(53, 256)(54, 258)(55, 261)(56, 164)(57, 253)(58, 266)(59, 186)(60, 264)(61, 166)(62, 172)(63, 272)(64, 167)(65, 276)(66, 179)(67, 191)(68, 275)(69, 194)(70, 254)(71, 187)(72, 170)(73, 279)(74, 189)(75, 171)(76, 177)(77, 190)(78, 282)(79, 173)(80, 270)(81, 174)(82, 268)(83, 273)(84, 175)(85, 267)(86, 271)(87, 180)(88, 284)(89, 178)(90, 262)(91, 259)(92, 283)(93, 257)(94, 263)(95, 183)(96, 260)(97, 280)(98, 188)(99, 185)(100, 281)(101, 278)(102, 193)(103, 274)(104, 277)(105, 255)(106, 269)(107, 265)(108, 195)(109, 201)(110, 214)(111, 249)(112, 197)(113, 237)(114, 198)(115, 235)(116, 240)(117, 199)(118, 234)(119, 238)(120, 204)(121, 251)(122, 202)(123, 229)(124, 226)(125, 250)(126, 224)(127, 230)(128, 207)(129, 227)(130, 247)(131, 212)(132, 209)(133, 248)(134, 245)(135, 217)(136, 241)(137, 244)(138, 222)(139, 236)(140, 232)(141, 288)(142, 287)(143, 286)(144, 285)(289, 435)(290, 438)(291, 433)(292, 445)(293, 448)(294, 434)(295, 454)(296, 457)(297, 459)(298, 462)(299, 465)(300, 461)(301, 436)(302, 473)(303, 475)(304, 437)(305, 481)(306, 483)(307, 486)(308, 489)(309, 485)(310, 439)(311, 497)(312, 499)(313, 440)(314, 505)(315, 441)(316, 492)(317, 444)(318, 442)(319, 517)(320, 519)(321, 443)(322, 522)(323, 513)(324, 484)(325, 502)(326, 518)(327, 528)(328, 525)(329, 446)(330, 514)(331, 447)(332, 527)(333, 509)(334, 493)(335, 523)(336, 537)(337, 449)(338, 520)(339, 450)(340, 468)(341, 453)(342, 451)(343, 550)(344, 552)(345, 452)(346, 555)(347, 546)(348, 460)(349, 478)(350, 551)(351, 561)(352, 558)(353, 455)(354, 547)(355, 456)(356, 560)(357, 542)(358, 469)(359, 556)(360, 570)(361, 458)(362, 553)(363, 566)(364, 568)(365, 477)(366, 564)(367, 572)(368, 567)(369, 467)(370, 474)(371, 571)(372, 549)(373, 463)(374, 470)(375, 464)(376, 482)(377, 554)(378, 466)(379, 479)(380, 574)(381, 472)(382, 562)(383, 476)(384, 471)(385, 559)(386, 569)(387, 543)(388, 573)(389, 540)(390, 545)(391, 541)(392, 563)(393, 480)(394, 548)(395, 544)(396, 533)(397, 535)(398, 501)(399, 531)(400, 539)(401, 534)(402, 491)(403, 498)(404, 538)(405, 516)(406, 487)(407, 494)(408, 488)(409, 506)(410, 521)(411, 490)(412, 503)(413, 576)(414, 496)(415, 529)(416, 500)(417, 495)(418, 526)(419, 536)(420, 510)(421, 575)(422, 507)(423, 512)(424, 508)(425, 530)(426, 504)(427, 515)(428, 511)(429, 532)(430, 524)(431, 565)(432, 557)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.2589
Transitivity :: VT+
Graph::
	v = 18 e = 288 f = 216
	degree seq :: [ 32^18 ]

E28.2596 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 6, 8})
Quotient :: edge
Aut^+ = C3 x GL(2,3) (small group id <144, 122>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-2 * T1^-1 * T2, T2^6, (T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2^-1)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1, (T2^-1 * T1^-1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 24, 15, 5)(2, 6, 17, 37, 21, 7)(4, 11, 25, 48, 32, 12)(8, 22, 43, 33, 13, 23)(10, 26, 47, 34, 14, 27)(16, 35, 64, 40, 19, 36)(18, 38, 68, 41, 20, 39)(28, 53, 83, 57, 30, 54)(29, 55, 84, 58, 31, 56)(42, 77, 59, 81, 45, 78)(44, 79, 60, 82, 46, 80)(49, 85, 61, 89, 51, 86)(50, 87, 62, 90, 52, 88)(63, 103, 73, 107, 66, 104)(65, 105, 74, 108, 67, 106)(69, 109, 75, 113, 71, 110)(70, 111, 76, 114, 72, 112)(91, 125, 99, 123, 93, 128)(92, 120, 100, 118, 94, 117)(95, 127, 101, 122, 97, 121)(96, 130, 102, 132, 98, 131)(115, 136, 119, 138, 116, 137)(124, 139, 129, 141, 126, 140)(133, 142, 135, 144, 134, 143)(145, 146, 148)(147, 152, 154)(149, 157, 158)(150, 160, 162)(151, 163, 164)(153, 161, 169)(155, 172, 173)(156, 174, 175)(159, 165, 176)(166, 186, 188)(167, 189, 190)(168, 187, 191)(170, 193, 194)(171, 195, 196)(177, 203, 204)(178, 205, 206)(179, 207, 209)(180, 210, 211)(181, 208, 212)(182, 213, 214)(183, 215, 216)(184, 217, 218)(185, 219, 220)(192, 227, 228)(197, 235, 236)(198, 237, 238)(199, 239, 240)(200, 241, 242)(201, 243, 244)(202, 245, 246)(221, 259, 256)(222, 260, 258)(223, 261, 252)(224, 262, 249)(225, 263, 255)(226, 264, 250)(229, 265, 257)(230, 266, 253)(231, 267, 268)(232, 269, 270)(233, 271, 254)(234, 272, 273)(247, 277, 275)(248, 278, 276)(251, 279, 274)(280, 286, 284)(281, 287, 285)(282, 288, 283)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 16^3 ), ( 16^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2600
Transitivity :: ET+
Graph:: simple bipartite
	v = 72 e = 144 f = 18
	degree seq :: [ 3^48, 6^24 ]

E28.2597 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 6, 8})
Quotient :: edge
Aut^+ = C3 x GL(2,3) (small group id <144, 122>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2^-1)^3, (T2 * T1^-1)^3, T1^6, T2 * T1^2 * T2^-1 * T1^-2, T2^8, T2^-4 * T1 * T2^-4 * T1^-1, (T2 * T1 * T2^-2 * T1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 30, 66, 42, 17, 5)(2, 7, 22, 51, 100, 58, 26, 8)(4, 12, 34, 71, 121, 76, 37, 14)(6, 19, 46, 90, 132, 93, 48, 20)(9, 27, 59, 113, 84, 116, 62, 28)(11, 24, 54, 105, 85, 99, 70, 33)(13, 32, 68, 122, 142, 125, 74, 36)(15, 38, 78, 120, 65, 119, 73, 35)(16, 39, 80, 111, 67, 96, 49, 21)(18, 43, 86, 127, 143, 128, 87, 44)(23, 47, 91, 133, 112, 131, 103, 53)(25, 55, 107, 135, 101, 129, 88, 45)(29, 63, 117, 81, 40, 82, 118, 64)(31, 60, 114, 77, 41, 83, 123, 69)(50, 97, 138, 108, 56, 109, 139, 98)(52, 94, 136, 104, 57, 110, 140, 102)(61, 115, 79, 92, 134, 144, 130, 89)(72, 95, 137, 106, 75, 126, 141, 124)(145, 146, 150, 162, 157, 148)(147, 153, 163, 189, 176, 155)(149, 159, 164, 191, 180, 160)(151, 165, 187, 179, 156, 167)(152, 168, 188, 171, 158, 169)(154, 173, 190, 233, 212, 175)(161, 184, 192, 236, 218, 185)(166, 194, 230, 216, 178, 196)(170, 200, 231, 219, 181, 201)(172, 204, 232, 207, 177, 205)(174, 209, 234, 275, 266, 211)(182, 221, 235, 225, 183, 223)(186, 228, 237, 279, 269, 229)(193, 238, 217, 241, 197, 239)(195, 243, 271, 260, 215, 245)(198, 248, 203, 252, 199, 250)(202, 255, 272, 264, 220, 256)(206, 242, 273, 268, 214, 246)(208, 240, 274, 263, 213, 247)(210, 244, 276, 287, 286, 265)(222, 253, 277, 270, 224, 254)(226, 249, 278, 257, 227, 251)(258, 284, 261, 283, 259, 285)(262, 282, 288, 281, 267, 280)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6^6 ), ( 6^8 ) }
Outer automorphisms :: reflexible
Dual of E28.2601
Transitivity :: ET+
Graph:: simple bipartite
	v = 42 e = 144 f = 48
	degree seq :: [ 6^24, 8^18 ]

E28.2598 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 6, 8})
Quotient :: edge
Aut^+ = C3 x GL(2,3) (small group id <144, 122>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1, T1^8, (T1^2 * T2)^3, T1^2 * T2^-1 * T1^2 * T2^-1 * T1^-2 * T2^-1, T2 * T1^3 * T2^-1 * T1 * T2^-1 * T1^-1 * T2 * T1^-1, T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^3 * T2 * T1^-1, (T2 * T1^2 * T2^-1 * T1^-1)^2, (T1^-1 * T2^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 3, 5)(2, 7, 8)(4, 11, 13)(6, 17, 18)(9, 24, 25)(10, 26, 28)(12, 31, 33)(14, 37, 38)(15, 39, 41)(16, 43, 44)(19, 50, 51)(20, 52, 54)(21, 56, 57)(22, 58, 60)(23, 62, 63)(27, 69, 71)(29, 64, 75)(30, 76, 78)(32, 81, 82)(34, 66, 86)(35, 73, 88)(36, 90, 91)(40, 96, 98)(42, 99, 100)(45, 105, 106)(46, 107, 108)(47, 109, 110)(48, 111, 112)(49, 87, 114)(53, 85, 119)(55, 122, 74)(59, 127, 77)(61, 116, 123)(65, 131, 121)(67, 92, 102)(68, 132, 113)(70, 133, 126)(72, 94, 128)(79, 129, 134)(80, 117, 130)(83, 120, 125)(84, 115, 137)(89, 135, 138)(93, 103, 139)(95, 101, 140)(97, 136, 124)(104, 141, 142)(118, 144, 143)(145, 146, 150, 160, 186, 176, 156, 148)(147, 153, 167, 205, 243, 214, 171, 154)(149, 158, 180, 233, 244, 241, 184, 159)(151, 163, 193, 257, 225, 262, 197, 164)(152, 165, 199, 265, 226, 272, 203, 166)(155, 173, 218, 246, 187, 245, 221, 174)(157, 178, 229, 248, 188, 247, 231, 179)(161, 189, 242, 224, 175, 223, 235, 190)(162, 191, 206, 228, 177, 227, 213, 192)(168, 194, 249, 284, 277, 288, 273, 208)(169, 209, 274, 283, 270, 202, 252, 210)(170, 211, 261, 196, 260, 220, 251, 212)(172, 216, 278, 285, 267, 200, 250, 217)(181, 195, 259, 222, 280, 287, 255, 236)(182, 237, 269, 201, 268, 230, 254, 238)(183, 198, 264, 219, 279, 276, 253, 239)(185, 204, 256, 286, 282, 275, 281, 232)(207, 271, 234, 258, 215, 266, 240, 263)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 12^3 ), ( 12^8 ) }
Outer automorphisms :: reflexible
Dual of E28.2599
Transitivity :: ET+
Graph:: simple bipartite
	v = 66 e = 144 f = 24
	degree seq :: [ 3^48, 8^18 ]

E28.2599 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 6, 8})
Quotient :: loop
Aut^+ = C3 x GL(2,3) (small group id <144, 122>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-2 * T1^-1 * T2, T2^6, (T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2^-1)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1, (T2^-1 * T1^-1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 145, 3, 147, 9, 153, 24, 168, 15, 159, 5, 149)(2, 146, 6, 150, 17, 161, 37, 181, 21, 165, 7, 151)(4, 148, 11, 155, 25, 169, 48, 192, 32, 176, 12, 156)(8, 152, 22, 166, 43, 187, 33, 177, 13, 157, 23, 167)(10, 154, 26, 170, 47, 191, 34, 178, 14, 158, 27, 171)(16, 160, 35, 179, 64, 208, 40, 184, 19, 163, 36, 180)(18, 162, 38, 182, 68, 212, 41, 185, 20, 164, 39, 183)(28, 172, 53, 197, 83, 227, 57, 201, 30, 174, 54, 198)(29, 173, 55, 199, 84, 228, 58, 202, 31, 175, 56, 200)(42, 186, 77, 221, 59, 203, 81, 225, 45, 189, 78, 222)(44, 188, 79, 223, 60, 204, 82, 226, 46, 190, 80, 224)(49, 193, 85, 229, 61, 205, 89, 233, 51, 195, 86, 230)(50, 194, 87, 231, 62, 206, 90, 234, 52, 196, 88, 232)(63, 207, 103, 247, 73, 217, 107, 251, 66, 210, 104, 248)(65, 209, 105, 249, 74, 218, 108, 252, 67, 211, 106, 250)(69, 213, 109, 253, 75, 219, 113, 257, 71, 215, 110, 254)(70, 214, 111, 255, 76, 220, 114, 258, 72, 216, 112, 256)(91, 235, 125, 269, 99, 243, 123, 267, 93, 237, 128, 272)(92, 236, 120, 264, 100, 244, 118, 262, 94, 238, 117, 261)(95, 239, 127, 271, 101, 245, 122, 266, 97, 241, 121, 265)(96, 240, 130, 274, 102, 246, 132, 276, 98, 242, 131, 275)(115, 259, 136, 280, 119, 263, 138, 282, 116, 260, 137, 281)(124, 268, 139, 283, 129, 273, 141, 285, 126, 270, 140, 284)(133, 277, 142, 286, 135, 279, 144, 288, 134, 278, 143, 287)
	L = (1, 146)(2, 148)(3, 152)(4, 145)(5, 157)(6, 160)(7, 163)(8, 154)(9, 161)(10, 147)(11, 172)(12, 174)(13, 158)(14, 149)(15, 165)(16, 162)(17, 169)(18, 150)(19, 164)(20, 151)(21, 176)(22, 186)(23, 189)(24, 187)(25, 153)(26, 193)(27, 195)(28, 173)(29, 155)(30, 175)(31, 156)(32, 159)(33, 203)(34, 205)(35, 207)(36, 210)(37, 208)(38, 213)(39, 215)(40, 217)(41, 219)(42, 188)(43, 191)(44, 166)(45, 190)(46, 167)(47, 168)(48, 227)(49, 194)(50, 170)(51, 196)(52, 171)(53, 235)(54, 237)(55, 239)(56, 241)(57, 243)(58, 245)(59, 204)(60, 177)(61, 206)(62, 178)(63, 209)(64, 212)(65, 179)(66, 211)(67, 180)(68, 181)(69, 214)(70, 182)(71, 216)(72, 183)(73, 218)(74, 184)(75, 220)(76, 185)(77, 259)(78, 260)(79, 261)(80, 262)(81, 263)(82, 264)(83, 228)(84, 192)(85, 265)(86, 266)(87, 267)(88, 269)(89, 271)(90, 272)(91, 236)(92, 197)(93, 238)(94, 198)(95, 240)(96, 199)(97, 242)(98, 200)(99, 244)(100, 201)(101, 246)(102, 202)(103, 277)(104, 278)(105, 224)(106, 226)(107, 279)(108, 223)(109, 230)(110, 233)(111, 225)(112, 221)(113, 229)(114, 222)(115, 256)(116, 258)(117, 252)(118, 249)(119, 255)(120, 250)(121, 257)(122, 253)(123, 268)(124, 231)(125, 270)(126, 232)(127, 254)(128, 273)(129, 234)(130, 251)(131, 247)(132, 248)(133, 275)(134, 276)(135, 274)(136, 286)(137, 287)(138, 288)(139, 282)(140, 280)(141, 281)(142, 284)(143, 285)(144, 283)
	local type(s) :: { ( 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.2598
Transitivity :: ET+ VT+ AT
Graph::
	v = 24 e = 144 f = 66
	degree seq :: [ 12^24 ]

E28.2600 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 6, 8})
Quotient :: loop
Aut^+ = C3 x GL(2,3) (small group id <144, 122>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2^-1)^3, (T2 * T1^-1)^3, T1^6, T2 * T1^2 * T2^-1 * T1^-2, T2^8, T2^-4 * T1 * T2^-4 * T1^-1, (T2 * T1 * T2^-2 * T1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 145, 3, 147, 10, 154, 30, 174, 66, 210, 42, 186, 17, 161, 5, 149)(2, 146, 7, 151, 22, 166, 51, 195, 100, 244, 58, 202, 26, 170, 8, 152)(4, 148, 12, 156, 34, 178, 71, 215, 121, 265, 76, 220, 37, 181, 14, 158)(6, 150, 19, 163, 46, 190, 90, 234, 132, 276, 93, 237, 48, 192, 20, 164)(9, 153, 27, 171, 59, 203, 113, 257, 84, 228, 116, 260, 62, 206, 28, 172)(11, 155, 24, 168, 54, 198, 105, 249, 85, 229, 99, 243, 70, 214, 33, 177)(13, 157, 32, 176, 68, 212, 122, 266, 142, 286, 125, 269, 74, 218, 36, 180)(15, 159, 38, 182, 78, 222, 120, 264, 65, 209, 119, 263, 73, 217, 35, 179)(16, 160, 39, 183, 80, 224, 111, 255, 67, 211, 96, 240, 49, 193, 21, 165)(18, 162, 43, 187, 86, 230, 127, 271, 143, 287, 128, 272, 87, 231, 44, 188)(23, 167, 47, 191, 91, 235, 133, 277, 112, 256, 131, 275, 103, 247, 53, 197)(25, 169, 55, 199, 107, 251, 135, 279, 101, 245, 129, 273, 88, 232, 45, 189)(29, 173, 63, 207, 117, 261, 81, 225, 40, 184, 82, 226, 118, 262, 64, 208)(31, 175, 60, 204, 114, 258, 77, 221, 41, 185, 83, 227, 123, 267, 69, 213)(50, 194, 97, 241, 138, 282, 108, 252, 56, 200, 109, 253, 139, 283, 98, 242)(52, 196, 94, 238, 136, 280, 104, 248, 57, 201, 110, 254, 140, 284, 102, 246)(61, 205, 115, 259, 79, 223, 92, 236, 134, 278, 144, 288, 130, 274, 89, 233)(72, 216, 95, 239, 137, 281, 106, 250, 75, 219, 126, 270, 141, 285, 124, 268)
	L = (1, 146)(2, 150)(3, 153)(4, 145)(5, 159)(6, 162)(7, 165)(8, 168)(9, 163)(10, 173)(11, 147)(12, 167)(13, 148)(14, 169)(15, 164)(16, 149)(17, 184)(18, 157)(19, 189)(20, 191)(21, 187)(22, 194)(23, 151)(24, 188)(25, 152)(26, 200)(27, 158)(28, 204)(29, 190)(30, 209)(31, 154)(32, 155)(33, 205)(34, 196)(35, 156)(36, 160)(37, 201)(38, 221)(39, 223)(40, 192)(41, 161)(42, 228)(43, 179)(44, 171)(45, 176)(46, 233)(47, 180)(48, 236)(49, 238)(50, 230)(51, 243)(52, 166)(53, 239)(54, 248)(55, 250)(56, 231)(57, 170)(58, 255)(59, 252)(60, 232)(61, 172)(62, 242)(63, 177)(64, 240)(65, 234)(66, 244)(67, 174)(68, 175)(69, 247)(70, 246)(71, 245)(72, 178)(73, 241)(74, 185)(75, 181)(76, 256)(77, 235)(78, 253)(79, 182)(80, 254)(81, 183)(82, 249)(83, 251)(84, 237)(85, 186)(86, 216)(87, 219)(88, 207)(89, 212)(90, 275)(91, 225)(92, 218)(93, 279)(94, 217)(95, 193)(96, 274)(97, 197)(98, 273)(99, 271)(100, 276)(101, 195)(102, 206)(103, 208)(104, 203)(105, 278)(106, 198)(107, 226)(108, 199)(109, 277)(110, 222)(111, 272)(112, 202)(113, 227)(114, 284)(115, 285)(116, 215)(117, 283)(118, 282)(119, 213)(120, 220)(121, 210)(122, 211)(123, 280)(124, 214)(125, 229)(126, 224)(127, 260)(128, 264)(129, 268)(130, 263)(131, 266)(132, 287)(133, 270)(134, 257)(135, 269)(136, 262)(137, 267)(138, 288)(139, 259)(140, 261)(141, 258)(142, 265)(143, 286)(144, 281)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2596
Transitivity :: ET+ VT+ AT
Graph::
	v = 18 e = 144 f = 72
	degree seq :: [ 16^18 ]

E28.2601 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 6, 8})
Quotient :: loop
Aut^+ = C3 x GL(2,3) (small group id <144, 122>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1, T1^8, (T1^2 * T2)^3, T1^2 * T2^-1 * T1^2 * T2^-1 * T1^-2 * T2^-1, T2 * T1^3 * T2^-1 * T1 * T2^-1 * T1^-1 * T2 * T1^-1, T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^3 * T2 * T1^-1, (T2 * T1^2 * T2^-1 * T1^-1)^2, (T1^-1 * T2^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 145, 3, 147, 5, 149)(2, 146, 7, 151, 8, 152)(4, 148, 11, 155, 13, 157)(6, 150, 17, 161, 18, 162)(9, 153, 24, 168, 25, 169)(10, 154, 26, 170, 28, 172)(12, 156, 31, 175, 33, 177)(14, 158, 37, 181, 38, 182)(15, 159, 39, 183, 41, 185)(16, 160, 43, 187, 44, 188)(19, 163, 50, 194, 51, 195)(20, 164, 52, 196, 54, 198)(21, 165, 56, 200, 57, 201)(22, 166, 58, 202, 60, 204)(23, 167, 62, 206, 63, 207)(27, 171, 69, 213, 71, 215)(29, 173, 64, 208, 75, 219)(30, 174, 76, 220, 78, 222)(32, 176, 81, 225, 82, 226)(34, 178, 66, 210, 86, 230)(35, 179, 73, 217, 88, 232)(36, 180, 90, 234, 91, 235)(40, 184, 96, 240, 98, 242)(42, 186, 99, 243, 100, 244)(45, 189, 105, 249, 106, 250)(46, 190, 107, 251, 108, 252)(47, 191, 109, 253, 110, 254)(48, 192, 111, 255, 112, 256)(49, 193, 87, 231, 114, 258)(53, 197, 85, 229, 119, 263)(55, 199, 122, 266, 74, 218)(59, 203, 127, 271, 77, 221)(61, 205, 116, 260, 123, 267)(65, 209, 131, 275, 121, 265)(67, 211, 92, 236, 102, 246)(68, 212, 132, 276, 113, 257)(70, 214, 133, 277, 126, 270)(72, 216, 94, 238, 128, 272)(79, 223, 129, 273, 134, 278)(80, 224, 117, 261, 130, 274)(83, 227, 120, 264, 125, 269)(84, 228, 115, 259, 137, 281)(89, 233, 135, 279, 138, 282)(93, 237, 103, 247, 139, 283)(95, 239, 101, 245, 140, 284)(97, 241, 136, 280, 124, 268)(104, 248, 141, 285, 142, 286)(118, 262, 144, 288, 143, 287)
	L = (1, 146)(2, 150)(3, 153)(4, 145)(5, 158)(6, 160)(7, 163)(8, 165)(9, 167)(10, 147)(11, 173)(12, 148)(13, 178)(14, 180)(15, 149)(16, 186)(17, 189)(18, 191)(19, 193)(20, 151)(21, 199)(22, 152)(23, 205)(24, 194)(25, 209)(26, 211)(27, 154)(28, 216)(29, 218)(30, 155)(31, 223)(32, 156)(33, 227)(34, 229)(35, 157)(36, 233)(37, 195)(38, 237)(39, 198)(40, 159)(41, 204)(42, 176)(43, 245)(44, 247)(45, 242)(46, 161)(47, 206)(48, 162)(49, 257)(50, 249)(51, 259)(52, 260)(53, 164)(54, 264)(55, 265)(56, 250)(57, 268)(58, 252)(59, 166)(60, 256)(61, 243)(62, 228)(63, 271)(64, 168)(65, 274)(66, 169)(67, 261)(68, 170)(69, 192)(70, 171)(71, 266)(72, 278)(73, 172)(74, 246)(75, 279)(76, 251)(77, 174)(78, 280)(79, 235)(80, 175)(81, 262)(82, 272)(83, 213)(84, 177)(85, 248)(86, 254)(87, 179)(88, 185)(89, 244)(90, 258)(91, 190)(92, 181)(93, 269)(94, 182)(95, 183)(96, 263)(97, 184)(98, 224)(99, 214)(100, 241)(101, 221)(102, 187)(103, 231)(104, 188)(105, 284)(106, 217)(107, 212)(108, 210)(109, 239)(110, 238)(111, 236)(112, 286)(113, 225)(114, 215)(115, 222)(116, 220)(117, 196)(118, 197)(119, 207)(120, 219)(121, 226)(122, 240)(123, 200)(124, 230)(125, 201)(126, 202)(127, 234)(128, 203)(129, 208)(130, 283)(131, 281)(132, 253)(133, 288)(134, 285)(135, 276)(136, 287)(137, 232)(138, 275)(139, 270)(140, 277)(141, 267)(142, 282)(143, 255)(144, 273)
	local type(s) :: { ( 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.2597
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 48 e = 144 f = 42
	degree seq :: [ 6^48 ]

E28.2602 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 8})
Quotient :: dipole
Aut^+ = C3 x GL(2,3) (small group id <144, 122>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (R * Y2^2)^2, Y2^-1 * Y1 * Y2^2 * Y1^-1 * Y2^-1, Y3 * Y2^2 * Y3^-1 * Y2^-2, Y2^6, Y2 * Y3 * Y2 * Y1 * Y2 * Y3 * Y2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1, Y2 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y3 * Y2 * Y1 * Y2^-1 * Y3 * Y2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1, Y3 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y2^-1 * Y1 * Y2 * Y3 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y3 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y3 * Y2 * Y3 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 145, 2, 146, 4, 148)(3, 147, 8, 152, 10, 154)(5, 149, 13, 157, 14, 158)(6, 150, 16, 160, 18, 162)(7, 151, 19, 163, 20, 164)(9, 153, 17, 161, 25, 169)(11, 155, 28, 172, 29, 173)(12, 156, 30, 174, 31, 175)(15, 159, 21, 165, 32, 176)(22, 166, 42, 186, 44, 188)(23, 167, 45, 189, 46, 190)(24, 168, 43, 187, 47, 191)(26, 170, 49, 193, 50, 194)(27, 171, 51, 195, 52, 196)(33, 177, 59, 203, 60, 204)(34, 178, 61, 205, 62, 206)(35, 179, 63, 207, 65, 209)(36, 180, 66, 210, 67, 211)(37, 181, 64, 208, 68, 212)(38, 182, 69, 213, 70, 214)(39, 183, 71, 215, 72, 216)(40, 184, 73, 217, 74, 218)(41, 185, 75, 219, 76, 220)(48, 192, 83, 227, 84, 228)(53, 197, 91, 235, 92, 236)(54, 198, 93, 237, 94, 238)(55, 199, 95, 239, 96, 240)(56, 200, 97, 241, 98, 242)(57, 201, 99, 243, 100, 244)(58, 202, 101, 245, 102, 246)(77, 221, 115, 259, 112, 256)(78, 222, 116, 260, 114, 258)(79, 223, 117, 261, 108, 252)(80, 224, 118, 262, 105, 249)(81, 225, 119, 263, 111, 255)(82, 226, 120, 264, 106, 250)(85, 229, 121, 265, 113, 257)(86, 230, 122, 266, 109, 253)(87, 231, 123, 267, 124, 268)(88, 232, 125, 269, 126, 270)(89, 233, 127, 271, 110, 254)(90, 234, 128, 272, 129, 273)(103, 247, 133, 277, 131, 275)(104, 248, 134, 278, 132, 276)(107, 251, 135, 279, 130, 274)(136, 280, 142, 286, 140, 284)(137, 281, 143, 287, 141, 285)(138, 282, 144, 288, 139, 283)(289, 433, 291, 435, 297, 441, 312, 456, 303, 447, 293, 437)(290, 434, 294, 438, 305, 449, 325, 469, 309, 453, 295, 439)(292, 436, 299, 443, 313, 457, 336, 480, 320, 464, 300, 444)(296, 440, 310, 454, 331, 475, 321, 465, 301, 445, 311, 455)(298, 442, 314, 458, 335, 479, 322, 466, 302, 446, 315, 459)(304, 448, 323, 467, 352, 496, 328, 472, 307, 451, 324, 468)(306, 450, 326, 470, 356, 500, 329, 473, 308, 452, 327, 471)(316, 460, 341, 485, 371, 515, 345, 489, 318, 462, 342, 486)(317, 461, 343, 487, 372, 516, 346, 490, 319, 463, 344, 488)(330, 474, 365, 509, 347, 491, 369, 513, 333, 477, 366, 510)(332, 476, 367, 511, 348, 492, 370, 514, 334, 478, 368, 512)(337, 481, 373, 517, 349, 493, 377, 521, 339, 483, 374, 518)(338, 482, 375, 519, 350, 494, 378, 522, 340, 484, 376, 520)(351, 495, 391, 535, 361, 505, 395, 539, 354, 498, 392, 536)(353, 497, 393, 537, 362, 506, 396, 540, 355, 499, 394, 538)(357, 501, 397, 541, 363, 507, 401, 545, 359, 503, 398, 542)(358, 502, 399, 543, 364, 508, 402, 546, 360, 504, 400, 544)(379, 523, 413, 557, 387, 531, 411, 555, 381, 525, 416, 560)(380, 524, 408, 552, 388, 532, 406, 550, 382, 526, 405, 549)(383, 527, 415, 559, 389, 533, 410, 554, 385, 529, 409, 553)(384, 528, 418, 562, 390, 534, 420, 564, 386, 530, 419, 563)(403, 547, 424, 568, 407, 551, 426, 570, 404, 548, 425, 569)(412, 556, 427, 571, 417, 561, 429, 573, 414, 558, 428, 572)(421, 565, 430, 574, 423, 567, 432, 576, 422, 566, 431, 575)
	L = (1, 292)(2, 289)(3, 298)(4, 290)(5, 302)(6, 306)(7, 308)(8, 291)(9, 313)(10, 296)(11, 317)(12, 319)(13, 293)(14, 301)(15, 320)(16, 294)(17, 297)(18, 304)(19, 295)(20, 307)(21, 303)(22, 332)(23, 334)(24, 335)(25, 305)(26, 338)(27, 340)(28, 299)(29, 316)(30, 300)(31, 318)(32, 309)(33, 348)(34, 350)(35, 353)(36, 355)(37, 356)(38, 358)(39, 360)(40, 362)(41, 364)(42, 310)(43, 312)(44, 330)(45, 311)(46, 333)(47, 331)(48, 372)(49, 314)(50, 337)(51, 315)(52, 339)(53, 380)(54, 382)(55, 384)(56, 386)(57, 388)(58, 390)(59, 321)(60, 347)(61, 322)(62, 349)(63, 323)(64, 325)(65, 351)(66, 324)(67, 354)(68, 352)(69, 326)(70, 357)(71, 327)(72, 359)(73, 328)(74, 361)(75, 329)(76, 363)(77, 400)(78, 402)(79, 396)(80, 393)(81, 399)(82, 394)(83, 336)(84, 371)(85, 401)(86, 397)(87, 412)(88, 414)(89, 398)(90, 417)(91, 341)(92, 379)(93, 342)(94, 381)(95, 343)(96, 383)(97, 344)(98, 385)(99, 345)(100, 387)(101, 346)(102, 389)(103, 419)(104, 420)(105, 406)(106, 408)(107, 418)(108, 405)(109, 410)(110, 415)(111, 407)(112, 403)(113, 409)(114, 404)(115, 365)(116, 366)(117, 367)(118, 368)(119, 369)(120, 370)(121, 373)(122, 374)(123, 375)(124, 411)(125, 376)(126, 413)(127, 377)(128, 378)(129, 416)(130, 423)(131, 421)(132, 422)(133, 391)(134, 392)(135, 395)(136, 428)(137, 429)(138, 427)(139, 432)(140, 430)(141, 431)(142, 424)(143, 425)(144, 426)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.2605
Graph:: bipartite
	v = 72 e = 288 f = 162
	degree seq :: [ 6^48, 12^24 ]

E28.2603 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 8})
Quotient :: dipole
Aut^+ = C3 x GL(2,3) (small group id <144, 122>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1^-1)^3, (Y2 * Y1^-1)^3, Y1 * Y2 * Y1^-2 * Y2^-1 * Y1, (Y3^-1 * Y1^-1)^3, Y1^6, Y2^8, (Y2 * Y1 * Y2^-2 * Y1^-1)^2, Y2^3 * Y1^-1 * Y2^3 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map::
	R = (1, 145, 2, 146, 6, 150, 18, 162, 13, 157, 4, 148)(3, 147, 9, 153, 19, 163, 45, 189, 32, 176, 11, 155)(5, 149, 15, 159, 20, 164, 47, 191, 36, 180, 16, 160)(7, 151, 21, 165, 43, 187, 35, 179, 12, 156, 23, 167)(8, 152, 24, 168, 44, 188, 27, 171, 14, 158, 25, 169)(10, 154, 29, 173, 46, 190, 89, 233, 68, 212, 31, 175)(17, 161, 40, 184, 48, 192, 92, 236, 74, 218, 41, 185)(22, 166, 50, 194, 86, 230, 72, 216, 34, 178, 52, 196)(26, 170, 56, 200, 87, 231, 75, 219, 37, 181, 57, 201)(28, 172, 60, 204, 88, 232, 63, 207, 33, 177, 61, 205)(30, 174, 65, 209, 90, 234, 131, 275, 122, 266, 67, 211)(38, 182, 77, 221, 91, 235, 81, 225, 39, 183, 79, 223)(42, 186, 84, 228, 93, 237, 135, 279, 125, 269, 85, 229)(49, 193, 94, 238, 73, 217, 97, 241, 53, 197, 95, 239)(51, 195, 99, 243, 127, 271, 116, 260, 71, 215, 101, 245)(54, 198, 104, 248, 59, 203, 108, 252, 55, 199, 106, 250)(58, 202, 111, 255, 128, 272, 120, 264, 76, 220, 112, 256)(62, 206, 98, 242, 129, 273, 124, 268, 70, 214, 102, 246)(64, 208, 96, 240, 130, 274, 119, 263, 69, 213, 103, 247)(66, 210, 100, 244, 132, 276, 143, 287, 142, 286, 121, 265)(78, 222, 109, 253, 133, 277, 126, 270, 80, 224, 110, 254)(82, 226, 105, 249, 134, 278, 113, 257, 83, 227, 107, 251)(114, 258, 140, 284, 117, 261, 139, 283, 115, 259, 141, 285)(118, 262, 138, 282, 144, 288, 137, 281, 123, 267, 136, 280)(289, 433, 291, 435, 298, 442, 318, 462, 354, 498, 330, 474, 305, 449, 293, 437)(290, 434, 295, 439, 310, 454, 339, 483, 388, 532, 346, 490, 314, 458, 296, 440)(292, 436, 300, 444, 322, 466, 359, 503, 409, 553, 364, 508, 325, 469, 302, 446)(294, 438, 307, 451, 334, 478, 378, 522, 420, 564, 381, 525, 336, 480, 308, 452)(297, 441, 315, 459, 347, 491, 401, 545, 372, 516, 404, 548, 350, 494, 316, 460)(299, 443, 312, 456, 342, 486, 393, 537, 373, 517, 387, 531, 358, 502, 321, 465)(301, 445, 320, 464, 356, 500, 410, 554, 430, 574, 413, 557, 362, 506, 324, 468)(303, 447, 326, 470, 366, 510, 408, 552, 353, 497, 407, 551, 361, 505, 323, 467)(304, 448, 327, 471, 368, 512, 399, 543, 355, 499, 384, 528, 337, 481, 309, 453)(306, 450, 331, 475, 374, 518, 415, 559, 431, 575, 416, 560, 375, 519, 332, 476)(311, 455, 335, 479, 379, 523, 421, 565, 400, 544, 419, 563, 391, 535, 341, 485)(313, 457, 343, 487, 395, 539, 423, 567, 389, 533, 417, 561, 376, 520, 333, 477)(317, 461, 351, 495, 405, 549, 369, 513, 328, 472, 370, 514, 406, 550, 352, 496)(319, 463, 348, 492, 402, 546, 365, 509, 329, 473, 371, 515, 411, 555, 357, 501)(338, 482, 385, 529, 426, 570, 396, 540, 344, 488, 397, 541, 427, 571, 386, 530)(340, 484, 382, 526, 424, 568, 392, 536, 345, 489, 398, 542, 428, 572, 390, 534)(349, 493, 403, 547, 367, 511, 380, 524, 422, 566, 432, 576, 418, 562, 377, 521)(360, 504, 383, 527, 425, 569, 394, 538, 363, 507, 414, 558, 429, 573, 412, 556)
	L = (1, 291)(2, 295)(3, 298)(4, 300)(5, 289)(6, 307)(7, 310)(8, 290)(9, 315)(10, 318)(11, 312)(12, 322)(13, 320)(14, 292)(15, 326)(16, 327)(17, 293)(18, 331)(19, 334)(20, 294)(21, 304)(22, 339)(23, 335)(24, 342)(25, 343)(26, 296)(27, 347)(28, 297)(29, 351)(30, 354)(31, 348)(32, 356)(33, 299)(34, 359)(35, 303)(36, 301)(37, 302)(38, 366)(39, 368)(40, 370)(41, 371)(42, 305)(43, 374)(44, 306)(45, 313)(46, 378)(47, 379)(48, 308)(49, 309)(50, 385)(51, 388)(52, 382)(53, 311)(54, 393)(55, 395)(56, 397)(57, 398)(58, 314)(59, 401)(60, 402)(61, 403)(62, 316)(63, 405)(64, 317)(65, 407)(66, 330)(67, 384)(68, 410)(69, 319)(70, 321)(71, 409)(72, 383)(73, 323)(74, 324)(75, 414)(76, 325)(77, 329)(78, 408)(79, 380)(80, 399)(81, 328)(82, 406)(83, 411)(84, 404)(85, 387)(86, 415)(87, 332)(88, 333)(89, 349)(90, 420)(91, 421)(92, 422)(93, 336)(94, 424)(95, 425)(96, 337)(97, 426)(98, 338)(99, 358)(100, 346)(101, 417)(102, 340)(103, 341)(104, 345)(105, 373)(106, 363)(107, 423)(108, 344)(109, 427)(110, 428)(111, 355)(112, 419)(113, 372)(114, 365)(115, 367)(116, 350)(117, 369)(118, 352)(119, 361)(120, 353)(121, 364)(122, 430)(123, 357)(124, 360)(125, 362)(126, 429)(127, 431)(128, 375)(129, 376)(130, 377)(131, 391)(132, 381)(133, 400)(134, 432)(135, 389)(136, 392)(137, 394)(138, 396)(139, 386)(140, 390)(141, 412)(142, 413)(143, 416)(144, 418)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2604
Graph:: bipartite
	v = 42 e = 288 f = 192
	degree seq :: [ 12^24, 16^18 ]

E28.2604 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 8})
Quotient :: dipole
Aut^+ = C3 x GL(2,3) (small group id <144, 122>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, (Y2^-1 * Y3^2)^3, Y3^2 * Y2 * Y3^-2 * Y2 * Y3^2 * Y2, Y3 * Y2 * Y3^-3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3^3 * Y2^-1, (Y2^-1 * Y3)^6, (Y3^-1 * Y1^-1)^8 ]
Map:: polytopal
	R = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)(289, 433, 290, 434, 292, 436)(291, 435, 296, 440, 298, 442)(293, 437, 301, 445, 302, 446)(294, 438, 304, 448, 306, 450)(295, 439, 307, 451, 308, 452)(297, 441, 312, 456, 314, 458)(299, 443, 317, 461, 319, 463)(300, 444, 320, 464, 321, 465)(303, 447, 327, 471, 328, 472)(305, 449, 332, 476, 334, 478)(309, 453, 341, 485, 342, 486)(310, 454, 344, 488, 346, 490)(311, 455, 337, 481, 347, 491)(313, 457, 351, 495, 353, 497)(315, 459, 335, 479, 357, 501)(316, 460, 339, 483, 358, 502)(318, 462, 362, 506, 364, 508)(322, 466, 370, 514, 371, 515)(323, 467, 373, 517, 361, 505)(324, 468, 338, 482, 367, 511)(325, 469, 376, 520, 365, 509)(326, 470, 378, 522, 379, 523)(329, 473, 385, 529, 386, 530)(330, 474, 387, 531, 389, 533)(331, 475, 366, 510, 390, 534)(333, 477, 392, 536, 394, 538)(336, 480, 368, 512, 398, 542)(340, 484, 403, 547, 404, 548)(343, 487, 408, 552, 409, 553)(345, 489, 377, 521, 407, 551)(348, 492, 380, 524, 396, 540)(349, 493, 391, 535, 405, 549)(350, 494, 400, 544, 399, 543)(352, 496, 393, 537, 416, 560)(354, 498, 411, 555, 417, 561)(355, 499, 413, 557, 418, 562)(356, 500, 395, 539, 375, 519)(359, 503, 406, 550, 374, 518)(360, 504, 410, 554, 424, 568)(363, 507, 412, 556, 420, 564)(369, 513, 419, 563, 427, 571)(372, 516, 414, 558, 428, 572)(381, 525, 388, 532, 402, 546)(382, 526, 401, 545, 397, 541)(383, 527, 426, 570, 425, 569)(384, 528, 423, 567, 421, 565)(415, 559, 429, 573, 431, 575)(422, 566, 430, 574, 432, 576)
	L = (1, 291)(2, 294)(3, 297)(4, 299)(5, 289)(6, 305)(7, 290)(8, 310)(9, 313)(10, 315)(11, 318)(12, 292)(13, 323)(14, 325)(15, 293)(16, 330)(17, 333)(18, 335)(19, 337)(20, 339)(21, 295)(22, 345)(23, 296)(24, 349)(25, 352)(26, 354)(27, 356)(28, 298)(29, 360)(30, 363)(31, 357)(32, 366)(33, 368)(34, 300)(35, 374)(36, 301)(37, 377)(38, 302)(39, 381)(40, 383)(41, 303)(42, 388)(43, 304)(44, 355)(45, 393)(46, 395)(47, 397)(48, 306)(49, 400)(50, 307)(51, 402)(52, 308)(53, 384)(54, 406)(55, 309)(56, 408)(57, 410)(58, 411)(59, 413)(60, 311)(61, 364)(62, 312)(63, 389)(64, 329)(65, 404)(66, 341)(67, 314)(68, 419)(69, 417)(70, 420)(71, 316)(72, 423)(73, 317)(74, 396)(75, 416)(76, 382)(77, 319)(78, 426)(79, 320)(80, 421)(81, 321)(82, 407)(83, 350)(84, 322)(85, 391)(86, 415)(87, 324)(88, 394)(89, 398)(90, 409)(91, 418)(92, 326)(93, 371)(94, 327)(95, 332)(96, 328)(97, 390)(98, 422)(99, 414)(100, 344)(101, 375)(102, 348)(103, 331)(104, 424)(105, 343)(106, 427)(107, 370)(108, 334)(109, 378)(110, 353)(111, 336)(112, 429)(113, 338)(114, 376)(115, 428)(116, 380)(117, 340)(118, 362)(119, 342)(120, 373)(121, 430)(122, 385)(123, 367)(124, 346)(125, 361)(126, 347)(127, 351)(128, 372)(129, 403)(130, 369)(131, 386)(132, 379)(133, 358)(134, 359)(135, 387)(136, 401)(137, 365)(138, 431)(139, 405)(140, 432)(141, 392)(142, 399)(143, 412)(144, 425)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 12, 16 ), ( 12, 16, 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.2603
Graph:: simple bipartite
	v = 192 e = 288 f = 42
	degree seq :: [ 2^144, 6^48 ]

E28.2605 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 8})
Quotient :: dipole
Aut^+ = C3 x GL(2,3) (small group id <144, 122>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3 * Y1, Y1^8, Y1^-1 * Y3 * Y1^-2 * Y3 * Y1^2 * Y3 * Y1^-1, Y3 * Y1^2 * Y3 * Y1^-2 * Y3 * Y1^-2, Y1^2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-2 * Y3^-1, (Y1^2 * Y3)^3, (Y3 * Y1^-2 * Y3^-1 * Y1^-1)^2, Y3 * Y1^-1 * Y3 * Y1^2 * Y3^-1 * Y1 * Y3^-1 * Y1^2, Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-3 * Y3 * Y1^-1, (Y1^-1 * Y3^-1)^6 ]
Map:: polytopal
	R = (1, 145, 2, 146, 6, 150, 16, 160, 42, 186, 32, 176, 12, 156, 4, 148)(3, 147, 9, 153, 23, 167, 61, 205, 99, 243, 70, 214, 27, 171, 10, 154)(5, 149, 14, 158, 36, 180, 89, 233, 100, 244, 97, 241, 40, 184, 15, 159)(7, 151, 19, 163, 49, 193, 113, 257, 81, 225, 118, 262, 53, 197, 20, 164)(8, 152, 21, 165, 55, 199, 121, 265, 82, 226, 128, 272, 59, 203, 22, 166)(11, 155, 29, 173, 74, 218, 102, 246, 43, 187, 101, 245, 77, 221, 30, 174)(13, 157, 34, 178, 85, 229, 104, 248, 44, 188, 103, 247, 87, 231, 35, 179)(17, 161, 45, 189, 98, 242, 80, 224, 31, 175, 79, 223, 91, 235, 46, 190)(18, 162, 47, 191, 62, 206, 84, 228, 33, 177, 83, 227, 69, 213, 48, 192)(24, 168, 50, 194, 105, 249, 140, 284, 133, 277, 144, 288, 129, 273, 64, 208)(25, 169, 65, 209, 130, 274, 139, 283, 126, 270, 58, 202, 108, 252, 66, 210)(26, 170, 67, 211, 117, 261, 52, 196, 116, 260, 76, 220, 107, 251, 68, 212)(28, 172, 72, 216, 134, 278, 141, 285, 123, 267, 56, 200, 106, 250, 73, 217)(37, 181, 51, 195, 115, 259, 78, 222, 136, 280, 143, 287, 111, 255, 92, 236)(38, 182, 93, 237, 125, 269, 57, 201, 124, 268, 86, 230, 110, 254, 94, 238)(39, 183, 54, 198, 120, 264, 75, 219, 135, 279, 132, 276, 109, 253, 95, 239)(41, 185, 60, 204, 112, 256, 142, 286, 138, 282, 131, 275, 137, 281, 88, 232)(63, 207, 127, 271, 90, 234, 114, 258, 71, 215, 122, 266, 96, 240, 119, 263)(289, 433)(290, 434)(291, 435)(292, 436)(293, 437)(294, 438)(295, 439)(296, 440)(297, 441)(298, 442)(299, 443)(300, 444)(301, 445)(302, 446)(303, 447)(304, 448)(305, 449)(306, 450)(307, 451)(308, 452)(309, 453)(310, 454)(311, 455)(312, 456)(313, 457)(314, 458)(315, 459)(316, 460)(317, 461)(318, 462)(319, 463)(320, 464)(321, 465)(322, 466)(323, 467)(324, 468)(325, 469)(326, 470)(327, 471)(328, 472)(329, 473)(330, 474)(331, 475)(332, 476)(333, 477)(334, 478)(335, 479)(336, 480)(337, 481)(338, 482)(339, 483)(340, 484)(341, 485)(342, 486)(343, 487)(344, 488)(345, 489)(346, 490)(347, 491)(348, 492)(349, 493)(350, 494)(351, 495)(352, 496)(353, 497)(354, 498)(355, 499)(356, 500)(357, 501)(358, 502)(359, 503)(360, 504)(361, 505)(362, 506)(363, 507)(364, 508)(365, 509)(366, 510)(367, 511)(368, 512)(369, 513)(370, 514)(371, 515)(372, 516)(373, 517)(374, 518)(375, 519)(376, 520)(377, 521)(378, 522)(379, 523)(380, 524)(381, 525)(382, 526)(383, 527)(384, 528)(385, 529)(386, 530)(387, 531)(388, 532)(389, 533)(390, 534)(391, 535)(392, 536)(393, 537)(394, 538)(395, 539)(396, 540)(397, 541)(398, 542)(399, 543)(400, 544)(401, 545)(402, 546)(403, 547)(404, 548)(405, 549)(406, 550)(407, 551)(408, 552)(409, 553)(410, 554)(411, 555)(412, 556)(413, 557)(414, 558)(415, 559)(416, 560)(417, 561)(418, 562)(419, 563)(420, 564)(421, 565)(422, 566)(423, 567)(424, 568)(425, 569)(426, 570)(427, 571)(428, 572)(429, 573)(430, 574)(431, 575)(432, 576)
	L = (1, 291)(2, 295)(3, 293)(4, 299)(5, 289)(6, 305)(7, 296)(8, 290)(9, 312)(10, 314)(11, 301)(12, 319)(13, 292)(14, 325)(15, 327)(16, 331)(17, 306)(18, 294)(19, 338)(20, 340)(21, 344)(22, 346)(23, 350)(24, 313)(25, 297)(26, 316)(27, 357)(28, 298)(29, 352)(30, 364)(31, 321)(32, 369)(33, 300)(34, 354)(35, 361)(36, 378)(37, 326)(38, 302)(39, 329)(40, 384)(41, 303)(42, 387)(43, 332)(44, 304)(45, 393)(46, 395)(47, 397)(48, 399)(49, 375)(50, 339)(51, 307)(52, 342)(53, 373)(54, 308)(55, 410)(56, 345)(57, 309)(58, 348)(59, 415)(60, 310)(61, 404)(62, 351)(63, 311)(64, 363)(65, 419)(66, 374)(67, 380)(68, 420)(69, 359)(70, 421)(71, 315)(72, 382)(73, 376)(74, 343)(75, 317)(76, 366)(77, 347)(78, 318)(79, 417)(80, 405)(81, 370)(82, 320)(83, 408)(84, 403)(85, 407)(86, 322)(87, 402)(88, 323)(89, 423)(90, 379)(91, 324)(92, 390)(93, 391)(94, 416)(95, 389)(96, 386)(97, 424)(98, 328)(99, 388)(100, 330)(101, 428)(102, 355)(103, 427)(104, 429)(105, 394)(106, 333)(107, 396)(108, 334)(109, 398)(110, 335)(111, 400)(112, 336)(113, 356)(114, 337)(115, 425)(116, 411)(117, 418)(118, 432)(119, 341)(120, 413)(121, 353)(122, 362)(123, 349)(124, 385)(125, 371)(126, 358)(127, 365)(128, 360)(129, 422)(130, 368)(131, 409)(132, 401)(133, 414)(134, 367)(135, 426)(136, 412)(137, 372)(138, 377)(139, 381)(140, 383)(141, 430)(142, 392)(143, 406)(144, 431)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2602
Graph:: simple bipartite
	v = 162 e = 288 f = 72
	degree seq :: [ 2^144, 16^18 ]

E28.2606 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 8})
Quotient :: dipole
Aut^+ = C3 x GL(2,3) (small group id <144, 122>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y1^2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2^-1 * Y3^-3 * Y2 * Y1^-1, Y2^-1 * Y1 * R * Y2^-2 * Y3^-1 * R * Y2^-1, Y3 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1, Y2^8, Y2 * Y3^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1, Y2 * Y3 * Y2^-2 * Y3 * Y2^2 * Y1^-1 * Y2, Y1 * Y2^2 * Y1 * Y2^2 * Y3^-1 * Y2^2, Y1 * Y2^2 * Y1 * Y2^-2 * Y3^-1 * Y2^-2, Y3 * Y2 * Y3 * Y2^-3 * Y1 * Y2^-1 * Y3^-1 * Y2, Y2 * Y3 * Y2^3 * Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-3 * Y1^-1, Y2^-1 * Y3 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-2, Y2 * Y3 * Y2^2 * Y1 * Y2^-1 * Y3^-1 * Y2^2 * Y1^-1, Y2 * Y3^-1 * Y2^-1 * Y1 * Y2^-3 * Y1^-1 * Y2 * Y1^-1, Y2 * Y3 * Y2^-2 * Y1 * Y2^-1 * Y3^-1 * Y2^-2 * Y1^-1, Y2^3 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y2^-1 * Y3 * Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1 ]
Map::
	R = (1, 145, 2, 146, 4, 148)(3, 147, 8, 152, 10, 154)(5, 149, 13, 157, 14, 158)(6, 150, 16, 160, 18, 162)(7, 151, 19, 163, 20, 164)(9, 153, 24, 168, 26, 170)(11, 155, 29, 173, 31, 175)(12, 156, 32, 176, 33, 177)(15, 159, 39, 183, 40, 184)(17, 161, 44, 188, 46, 190)(21, 165, 53, 197, 54, 198)(22, 166, 42, 186, 57, 201)(23, 167, 58, 202, 59, 203)(25, 169, 63, 207, 65, 209)(27, 171, 68, 212, 70, 214)(28, 172, 71, 215, 72, 216)(30, 174, 75, 219, 77, 221)(34, 178, 82, 226, 83, 227)(35, 179, 43, 187, 86, 230)(36, 180, 87, 231, 88, 232)(37, 181, 48, 192, 91, 235)(38, 182, 52, 196, 81, 225)(41, 185, 97, 241, 98, 242)(45, 189, 101, 245, 103, 247)(47, 191, 106, 250, 108, 252)(49, 193, 74, 218, 111, 255)(50, 194, 112, 256, 113, 257)(51, 195, 79, 223, 116, 260)(55, 199, 120, 264, 121, 265)(56, 200, 92, 236, 119, 263)(60, 204, 90, 234, 105, 249)(61, 205, 99, 243, 117, 261)(62, 206, 114, 258, 109, 253)(64, 208, 102, 246, 126, 270)(66, 210, 129, 273, 130, 274)(67, 211, 131, 275, 132, 276)(69, 213, 118, 262, 85, 229)(73, 217, 104, 248, 89, 233)(76, 220, 135, 279, 136, 280)(78, 222, 127, 271, 137, 281)(80, 224, 125, 269, 138, 282)(84, 228, 140, 284, 133, 277)(93, 237, 100, 244, 115, 259)(94, 238, 110, 254, 107, 251)(95, 239, 123, 267, 134, 278)(96, 240, 122, 266, 139, 283)(124, 268, 141, 285, 143, 287)(128, 272, 142, 286, 144, 288)(289, 433, 291, 435, 297, 441, 313, 457, 352, 496, 329, 473, 303, 447, 293, 437)(290, 434, 294, 438, 305, 449, 333, 477, 390, 534, 343, 487, 309, 453, 295, 439)(292, 436, 299, 443, 318, 462, 364, 508, 414, 558, 372, 516, 322, 466, 300, 444)(296, 440, 310, 454, 344, 488, 401, 545, 385, 529, 412, 556, 348, 492, 311, 455)(298, 442, 315, 459, 357, 501, 396, 540, 386, 530, 404, 548, 361, 505, 316, 460)(301, 445, 323, 467, 373, 517, 399, 543, 351, 495, 413, 557, 377, 521, 324, 468)(302, 446, 325, 469, 378, 522, 416, 560, 353, 497, 415, 559, 380, 524, 326, 470)(304, 448, 330, 474, 387, 531, 426, 570, 408, 552, 429, 573, 388, 532, 331, 475)(306, 450, 335, 479, 395, 539, 425, 569, 409, 553, 359, 503, 397, 541, 336, 480)(307, 451, 337, 481, 398, 542, 346, 490, 389, 533, 375, 519, 402, 546, 338, 482)(308, 452, 339, 483, 403, 547, 430, 574, 391, 535, 356, 500, 405, 549, 340, 484)(312, 456, 349, 493, 371, 515, 382, 526, 327, 471, 381, 525, 365, 509, 350, 494)(314, 458, 354, 498, 332, 476, 384, 528, 328, 472, 383, 527, 341, 485, 355, 499)(317, 461, 345, 489, 410, 554, 376, 520, 428, 572, 431, 575, 419, 563, 362, 506)(319, 463, 366, 510, 422, 566, 358, 502, 421, 565, 379, 523, 418, 562, 367, 511)(320, 464, 347, 491, 411, 555, 374, 518, 423, 567, 400, 544, 417, 561, 368, 512)(321, 465, 360, 504, 420, 564, 432, 576, 424, 568, 394, 538, 427, 571, 369, 513)(334, 478, 392, 536, 363, 507, 407, 551, 342, 486, 406, 550, 370, 514, 393, 537)
	L = (1, 292)(2, 289)(3, 298)(4, 290)(5, 302)(6, 306)(7, 308)(8, 291)(9, 314)(10, 296)(11, 319)(12, 321)(13, 293)(14, 301)(15, 328)(16, 294)(17, 334)(18, 304)(19, 295)(20, 307)(21, 342)(22, 345)(23, 347)(24, 297)(25, 353)(26, 312)(27, 358)(28, 360)(29, 299)(30, 365)(31, 317)(32, 300)(33, 320)(34, 371)(35, 374)(36, 376)(37, 379)(38, 369)(39, 303)(40, 327)(41, 386)(42, 310)(43, 323)(44, 305)(45, 391)(46, 332)(47, 396)(48, 325)(49, 399)(50, 401)(51, 404)(52, 326)(53, 309)(54, 341)(55, 409)(56, 407)(57, 330)(58, 311)(59, 346)(60, 393)(61, 405)(62, 397)(63, 313)(64, 414)(65, 351)(66, 418)(67, 420)(68, 315)(69, 373)(70, 356)(71, 316)(72, 359)(73, 377)(74, 337)(75, 318)(76, 424)(77, 363)(78, 425)(79, 339)(80, 426)(81, 340)(82, 322)(83, 370)(84, 421)(85, 406)(86, 331)(87, 324)(88, 375)(89, 392)(90, 348)(91, 336)(92, 344)(93, 403)(94, 395)(95, 422)(96, 427)(97, 329)(98, 385)(99, 349)(100, 381)(101, 333)(102, 352)(103, 389)(104, 361)(105, 378)(106, 335)(107, 398)(108, 394)(109, 402)(110, 382)(111, 362)(112, 338)(113, 400)(114, 350)(115, 388)(116, 367)(117, 387)(118, 357)(119, 380)(120, 343)(121, 408)(122, 384)(123, 383)(124, 431)(125, 368)(126, 390)(127, 366)(128, 432)(129, 354)(130, 417)(131, 355)(132, 419)(133, 428)(134, 411)(135, 364)(136, 423)(137, 415)(138, 413)(139, 410)(140, 372)(141, 412)(142, 416)(143, 429)(144, 430)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2607
Graph:: bipartite
	v = 66 e = 288 f = 168
	degree seq :: [ 6^48, 16^18 ]

E28.2607 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 8})
Quotient :: dipole
Aut^+ = C3 x GL(2,3) (small group id <144, 122>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1 * Y3 * Y1^-2 * Y3^-1 * Y1, (Y3 * Y1^-1)^3, (Y3^-1 * Y1^-1)^3, Y1^6, Y3^-3 * Y1^-1 * Y3 * Y1^-1 * Y3^-3 * Y1^-1, (Y3 * Y1 * Y3^-2 * Y1^-1)^2, Y3^4 * Y1 * Y3^-4 * Y1^-1, (Y3 * Y2^-1)^8 ]
Map:: polytopal
	R = (1, 145, 2, 146, 6, 150, 18, 162, 13, 157, 4, 148)(3, 147, 9, 153, 19, 163, 45, 189, 32, 176, 11, 155)(5, 149, 15, 159, 20, 164, 47, 191, 36, 180, 16, 160)(7, 151, 21, 165, 43, 187, 35, 179, 12, 156, 23, 167)(8, 152, 24, 168, 44, 188, 27, 171, 14, 158, 25, 169)(10, 154, 29, 173, 46, 190, 89, 233, 68, 212, 31, 175)(17, 161, 40, 184, 48, 192, 92, 236, 74, 218, 41, 185)(22, 166, 50, 194, 86, 230, 72, 216, 34, 178, 52, 196)(26, 170, 56, 200, 87, 231, 75, 219, 37, 181, 57, 201)(28, 172, 60, 204, 88, 232, 63, 207, 33, 177, 61, 205)(30, 174, 65, 209, 90, 234, 131, 275, 122, 266, 67, 211)(38, 182, 77, 221, 91, 235, 81, 225, 39, 183, 79, 223)(42, 186, 84, 228, 93, 237, 135, 279, 125, 269, 85, 229)(49, 193, 94, 238, 73, 217, 97, 241, 53, 197, 95, 239)(51, 195, 99, 243, 127, 271, 116, 260, 71, 215, 101, 245)(54, 198, 104, 248, 59, 203, 108, 252, 55, 199, 106, 250)(58, 202, 111, 255, 128, 272, 120, 264, 76, 220, 112, 256)(62, 206, 98, 242, 129, 273, 124, 268, 70, 214, 102, 246)(64, 208, 96, 240, 130, 274, 119, 263, 69, 213, 103, 247)(66, 210, 100, 244, 132, 276, 143, 287, 142, 286, 121, 265)(78, 222, 109, 253, 133, 277, 126, 270, 80, 224, 110, 254)(82, 226, 105, 249, 134, 278, 113, 257, 83, 227, 107, 251)(114, 258, 140, 284, 117, 261, 139, 283, 115, 259, 141, 285)(118, 262, 138, 282, 144, 288, 137, 281, 123, 267, 136, 280)(289, 433)(290, 434)(291, 435)(292, 436)(293, 437)(294, 438)(295, 439)(296, 440)(297, 441)(298, 442)(299, 443)(300, 444)(301, 445)(302, 446)(303, 447)(304, 448)(305, 449)(306, 450)(307, 451)(308, 452)(309, 453)(310, 454)(311, 455)(312, 456)(313, 457)(314, 458)(315, 459)(316, 460)(317, 461)(318, 462)(319, 463)(320, 464)(321, 465)(322, 466)(323, 467)(324, 468)(325, 469)(326, 470)(327, 471)(328, 472)(329, 473)(330, 474)(331, 475)(332, 476)(333, 477)(334, 478)(335, 479)(336, 480)(337, 481)(338, 482)(339, 483)(340, 484)(341, 485)(342, 486)(343, 487)(344, 488)(345, 489)(346, 490)(347, 491)(348, 492)(349, 493)(350, 494)(351, 495)(352, 496)(353, 497)(354, 498)(355, 499)(356, 500)(357, 501)(358, 502)(359, 503)(360, 504)(361, 505)(362, 506)(363, 507)(364, 508)(365, 509)(366, 510)(367, 511)(368, 512)(369, 513)(370, 514)(371, 515)(372, 516)(373, 517)(374, 518)(375, 519)(376, 520)(377, 521)(378, 522)(379, 523)(380, 524)(381, 525)(382, 526)(383, 527)(384, 528)(385, 529)(386, 530)(387, 531)(388, 532)(389, 533)(390, 534)(391, 535)(392, 536)(393, 537)(394, 538)(395, 539)(396, 540)(397, 541)(398, 542)(399, 543)(400, 544)(401, 545)(402, 546)(403, 547)(404, 548)(405, 549)(406, 550)(407, 551)(408, 552)(409, 553)(410, 554)(411, 555)(412, 556)(413, 557)(414, 558)(415, 559)(416, 560)(417, 561)(418, 562)(419, 563)(420, 564)(421, 565)(422, 566)(423, 567)(424, 568)(425, 569)(426, 570)(427, 571)(428, 572)(429, 573)(430, 574)(431, 575)(432, 576)
	L = (1, 291)(2, 295)(3, 298)(4, 300)(5, 289)(6, 307)(7, 310)(8, 290)(9, 315)(10, 318)(11, 312)(12, 322)(13, 320)(14, 292)(15, 326)(16, 327)(17, 293)(18, 331)(19, 334)(20, 294)(21, 304)(22, 339)(23, 335)(24, 342)(25, 343)(26, 296)(27, 347)(28, 297)(29, 351)(30, 354)(31, 348)(32, 356)(33, 299)(34, 359)(35, 303)(36, 301)(37, 302)(38, 366)(39, 368)(40, 370)(41, 371)(42, 305)(43, 374)(44, 306)(45, 313)(46, 378)(47, 379)(48, 308)(49, 309)(50, 385)(51, 388)(52, 382)(53, 311)(54, 393)(55, 395)(56, 397)(57, 398)(58, 314)(59, 401)(60, 402)(61, 403)(62, 316)(63, 405)(64, 317)(65, 407)(66, 330)(67, 384)(68, 410)(69, 319)(70, 321)(71, 409)(72, 383)(73, 323)(74, 324)(75, 414)(76, 325)(77, 329)(78, 408)(79, 380)(80, 399)(81, 328)(82, 406)(83, 411)(84, 404)(85, 387)(86, 415)(87, 332)(88, 333)(89, 349)(90, 420)(91, 421)(92, 422)(93, 336)(94, 424)(95, 425)(96, 337)(97, 426)(98, 338)(99, 358)(100, 346)(101, 417)(102, 340)(103, 341)(104, 345)(105, 373)(106, 363)(107, 423)(108, 344)(109, 427)(110, 428)(111, 355)(112, 419)(113, 372)(114, 365)(115, 367)(116, 350)(117, 369)(118, 352)(119, 361)(120, 353)(121, 364)(122, 430)(123, 357)(124, 360)(125, 362)(126, 429)(127, 431)(128, 375)(129, 376)(130, 377)(131, 391)(132, 381)(133, 400)(134, 432)(135, 389)(136, 392)(137, 394)(138, 396)(139, 386)(140, 390)(141, 412)(142, 413)(143, 416)(144, 418)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 6, 16 ), ( 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.2606
Graph:: simple bipartite
	v = 168 e = 288 f = 66
	degree seq :: [ 2^144, 12^24 ]

E28.2608 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 24})
Quotient :: edge
Aut^+ = C3 x (C2 . S4 = SL(2,3) . C2) (small group id <144, 121>)
Aut   = $<288, 846>$ (small group id <288, 846>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^4, (F * T2)^2, (F * T1)^2, T2^-1 * T1^-1 * T2^2 * T1 * T2^-1, T2^-1 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1, T2 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2 * T1 * T2^2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1, T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1 * T2^-1, T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T2^-1 * T1^-1)^24 ]
Map:: non-degenerate
	R = (1, 3, 9, 5)(2, 6, 16, 7)(4, 11, 22, 12)(8, 20, 13, 21)(10, 23, 14, 24)(15, 29, 18, 30)(17, 31, 19, 32)(25, 41, 27, 42)(26, 43, 28, 44)(33, 53, 35, 54)(34, 55, 36, 56)(37, 57, 39, 58)(38, 59, 40, 60)(45, 69, 47, 70)(46, 71, 48, 72)(49, 73, 51, 74)(50, 75, 52, 76)(61, 91, 63, 92)(62, 86, 64, 84)(65, 93, 67, 94)(66, 95, 68, 96)(77, 107, 79, 108)(78, 109, 80, 110)(81, 111, 82, 112)(83, 113, 85, 114)(87, 115, 89, 116)(88, 117, 90, 118)(97, 127, 99, 128)(98, 129, 100, 130)(101, 131, 102, 132)(103, 133, 105, 134)(104, 135, 106, 136)(119, 137, 121, 138)(120, 141, 122, 139)(123, 140, 125, 142)(124, 143, 126, 144)(145, 146, 148)(147, 152, 154)(149, 157, 158)(150, 159, 161)(151, 162, 163)(153, 160, 166)(155, 169, 170)(156, 171, 172)(164, 177, 178)(165, 179, 180)(167, 181, 182)(168, 183, 184)(173, 189, 190)(174, 191, 192)(175, 193, 194)(176, 195, 196)(185, 205, 206)(186, 207, 208)(187, 209, 210)(188, 211, 212)(197, 221, 222)(198, 223, 224)(199, 218, 225)(200, 217, 226)(201, 227, 228)(202, 229, 230)(203, 231, 232)(204, 233, 234)(213, 241, 242)(214, 243, 244)(215, 238, 245)(216, 237, 246)(219, 247, 248)(220, 249, 250)(235, 263, 264)(236, 265, 266)(239, 267, 268)(240, 269, 270)(251, 271, 281)(252, 272, 282)(253, 260, 276)(254, 259, 275)(255, 283, 284)(256, 285, 286)(257, 273, 278)(258, 274, 277)(261, 279, 287)(262, 280, 288)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 48^3 ), ( 48^4 ) }
Outer automorphisms :: reflexible
Dual of E28.2612
Transitivity :: ET+
Graph:: simple bipartite
	v = 84 e = 144 f = 6
	degree seq :: [ 3^48, 4^36 ]

E28.2609 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 24})
Quotient :: edge
Aut^+ = C3 x (C2 . S4 = SL(2,3) . C2) (small group id <144, 121>)
Aut   = $<288, 846>$ (small group id <288, 846>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-1, T1 * T2^-1 * T1^2 * T2 * T1, (T2 * T1)^3, T2^4 * T1 * T2^-4 * T1^-1, (T2 * T1^-1 * T2^-1 * T1^-1)^3, T2^-2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^2 * T1^-1, T2^7 * T1^-1 * T2^4 * T1^-1 * T2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 27, 54, 98, 137, 140, 112, 70, 38, 18, 6, 17, 37, 69, 111, 139, 138, 110, 68, 36, 16, 5)(2, 7, 20, 41, 76, 122, 143, 135, 103, 59, 31, 13, 4, 12, 30, 58, 99, 136, 144, 132, 88, 48, 24, 8)(9, 22, 44, 81, 121, 75, 118, 108, 67, 102, 57, 29, 11, 23, 45, 83, 123, 77, 119, 109, 66, 93, 51, 25)(14, 32, 61, 97, 53, 94, 131, 86, 117, 73, 39, 19, 15, 33, 63, 100, 55, 95, 130, 87, 125, 79, 43, 21)(26, 49, 89, 116, 142, 127, 104, 60, 35, 65, 101, 56, 28, 50, 90, 115, 141, 128, 107, 62, 34, 64, 96, 52)(40, 71, 113, 91, 133, 106, 126, 80, 47, 85, 124, 78, 42, 72, 114, 92, 134, 105, 129, 82, 46, 84, 120, 74)(145, 146, 150, 148)(147, 153, 161, 155)(149, 158, 162, 159)(151, 163, 156, 165)(152, 166, 157, 167)(154, 170, 181, 172)(160, 178, 182, 179)(164, 184, 174, 186)(168, 190, 175, 191)(169, 193, 173, 194)(171, 197, 213, 199)(176, 204, 177, 206)(180, 210, 214, 211)(183, 215, 187, 216)(185, 219, 202, 221)(188, 224, 189, 226)(192, 230, 203, 231)(195, 235, 201, 236)(196, 238, 200, 239)(198, 220, 255, 243)(205, 249, 207, 250)(208, 252, 209, 253)(212, 232, 256, 247)(217, 259, 223, 260)(218, 262, 222, 263)(225, 271, 227, 272)(228, 274, 229, 275)(233, 258, 234, 257)(237, 279, 246, 276)(240, 268, 245, 264)(241, 266, 244, 280)(242, 265, 283, 267)(248, 273, 251, 270)(254, 269, 284, 261)(277, 288, 278, 287)(281, 286, 282, 285)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6^4 ), ( 6^24 ) }
Outer automorphisms :: reflexible
Dual of E28.2613
Transitivity :: ET+
Graph:: bipartite
	v = 42 e = 144 f = 48
	degree seq :: [ 4^36, 24^6 ]

E28.2610 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 24})
Quotient :: edge
Aut^+ = C3 x (C2 . S4 = SL(2,3) . C2) (small group id <144, 121>)
Aut   = $<288, 846>$ (small group id <288, 846>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, T1 * T2^-1 * T1 * T2 * T1^2 * T2, (T2^-1 * T1^-1)^4, (T2 * T1^-2)^3, T1^2 * T2^-1 * T1^-4 * T2 * T1^2, T1^2 * T2^-1 * T1 * T2^-1 * T1^-1 * T2 * T1 * T2^-1 * T1^-1 * T2, T2 * T1 * T2^-1 * T1^-1 * T2 * T1 * T2^-1 * T1^-2 * T2 * T1^-1, T1^24 ]
Map:: non-degenerate
	R = (1, 3, 5)(2, 7, 8)(4, 11, 13)(6, 17, 18)(9, 24, 25)(10, 26, 28)(12, 31, 33)(14, 37, 38)(15, 39, 41)(16, 43, 44)(19, 48, 35)(20, 49, 51)(21, 40, 53)(22, 54, 56)(23, 30, 58)(27, 63, 65)(29, 59, 68)(32, 72, 74)(34, 60, 77)(36, 62, 79)(42, 84, 85)(45, 89, 91)(46, 55, 92)(47, 93, 95)(50, 98, 100)(52, 97, 69)(57, 105, 106)(61, 80, 110)(64, 113, 115)(66, 81, 117)(67, 71, 118)(70, 108, 121)(73, 114, 124)(75, 119, 111)(76, 107, 125)(78, 126, 127)(82, 130, 96)(83, 116, 128)(86, 132, 133)(87, 94, 134)(88, 135, 136)(90, 122, 138)(99, 139, 140)(101, 103, 109)(102, 142, 143)(104, 144, 137)(112, 129, 123)(120, 131, 141)(145, 146, 150, 160, 186, 227, 275, 257, 283, 252, 203, 168, 192, 185, 200, 239, 280, 271, 287, 267, 217, 176, 156, 148)(147, 153, 167, 201, 228, 237, 277, 274, 284, 273, 224, 181, 179, 157, 178, 220, 232, 188, 231, 242, 258, 208, 171, 154)(149, 158, 180, 222, 229, 269, 266, 216, 243, 194, 164, 151, 163, 172, 210, 260, 279, 250, 288, 265, 268, 226, 184, 159)(152, 165, 196, 246, 272, 223, 215, 175, 214, 234, 189, 161, 183, 195, 245, 285, 270, 261, 263, 212, 218, 248, 199, 166)(155, 173, 211, 230, 187, 198, 235, 254, 259, 286, 253, 204, 169, 177, 219, 238, 191, 162, 190, 207, 256, 264, 213, 174)(170, 205, 236, 282, 249, 221, 241, 193, 240, 278, 262, 225, 182, 209, 233, 281, 251, 202, 247, 197, 244, 276, 255, 206)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8^3 ), ( 8^24 ) }
Outer automorphisms :: reflexible
Dual of E28.2611
Transitivity :: ET+
Graph:: simple bipartite
	v = 54 e = 144 f = 36
	degree seq :: [ 3^48, 24^6 ]

E28.2611 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 24})
Quotient :: loop
Aut^+ = C3 x (C2 . S4 = SL(2,3) . C2) (small group id <144, 121>)
Aut   = $<288, 846>$ (small group id <288, 846>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^4, (F * T2)^2, (F * T1)^2, T2^-1 * T1^-1 * T2^2 * T1 * T2^-1, T2^-1 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1, T2 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2 * T1 * T2^2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1, T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1 * T2^-1, T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T2^-1 * T1^-1)^24 ]
Map:: non-degenerate
	R = (1, 145, 3, 147, 9, 153, 5, 149)(2, 146, 6, 150, 16, 160, 7, 151)(4, 148, 11, 155, 22, 166, 12, 156)(8, 152, 20, 164, 13, 157, 21, 165)(10, 154, 23, 167, 14, 158, 24, 168)(15, 159, 29, 173, 18, 162, 30, 174)(17, 161, 31, 175, 19, 163, 32, 176)(25, 169, 41, 185, 27, 171, 42, 186)(26, 170, 43, 187, 28, 172, 44, 188)(33, 177, 53, 197, 35, 179, 54, 198)(34, 178, 55, 199, 36, 180, 56, 200)(37, 181, 57, 201, 39, 183, 58, 202)(38, 182, 59, 203, 40, 184, 60, 204)(45, 189, 69, 213, 47, 191, 70, 214)(46, 190, 71, 215, 48, 192, 72, 216)(49, 193, 73, 217, 51, 195, 74, 218)(50, 194, 75, 219, 52, 196, 76, 220)(61, 205, 91, 235, 63, 207, 92, 236)(62, 206, 86, 230, 64, 208, 84, 228)(65, 209, 93, 237, 67, 211, 94, 238)(66, 210, 95, 239, 68, 212, 96, 240)(77, 221, 107, 251, 79, 223, 108, 252)(78, 222, 109, 253, 80, 224, 110, 254)(81, 225, 111, 255, 82, 226, 112, 256)(83, 227, 113, 257, 85, 229, 114, 258)(87, 231, 115, 259, 89, 233, 116, 260)(88, 232, 117, 261, 90, 234, 118, 262)(97, 241, 127, 271, 99, 243, 128, 272)(98, 242, 129, 273, 100, 244, 130, 274)(101, 245, 131, 275, 102, 246, 132, 276)(103, 247, 133, 277, 105, 249, 134, 278)(104, 248, 135, 279, 106, 250, 136, 280)(119, 263, 137, 281, 121, 265, 138, 282)(120, 264, 141, 285, 122, 266, 139, 283)(123, 267, 140, 284, 125, 269, 142, 286)(124, 268, 143, 287, 126, 270, 144, 288)
	L = (1, 146)(2, 148)(3, 152)(4, 145)(5, 157)(6, 159)(7, 162)(8, 154)(9, 160)(10, 147)(11, 169)(12, 171)(13, 158)(14, 149)(15, 161)(16, 166)(17, 150)(18, 163)(19, 151)(20, 177)(21, 179)(22, 153)(23, 181)(24, 183)(25, 170)(26, 155)(27, 172)(28, 156)(29, 189)(30, 191)(31, 193)(32, 195)(33, 178)(34, 164)(35, 180)(36, 165)(37, 182)(38, 167)(39, 184)(40, 168)(41, 205)(42, 207)(43, 209)(44, 211)(45, 190)(46, 173)(47, 192)(48, 174)(49, 194)(50, 175)(51, 196)(52, 176)(53, 221)(54, 223)(55, 218)(56, 217)(57, 227)(58, 229)(59, 231)(60, 233)(61, 206)(62, 185)(63, 208)(64, 186)(65, 210)(66, 187)(67, 212)(68, 188)(69, 241)(70, 243)(71, 238)(72, 237)(73, 226)(74, 225)(75, 247)(76, 249)(77, 222)(78, 197)(79, 224)(80, 198)(81, 199)(82, 200)(83, 228)(84, 201)(85, 230)(86, 202)(87, 232)(88, 203)(89, 234)(90, 204)(91, 263)(92, 265)(93, 246)(94, 245)(95, 267)(96, 269)(97, 242)(98, 213)(99, 244)(100, 214)(101, 215)(102, 216)(103, 248)(104, 219)(105, 250)(106, 220)(107, 271)(108, 272)(109, 260)(110, 259)(111, 283)(112, 285)(113, 273)(114, 274)(115, 275)(116, 276)(117, 279)(118, 280)(119, 264)(120, 235)(121, 266)(122, 236)(123, 268)(124, 239)(125, 270)(126, 240)(127, 281)(128, 282)(129, 278)(130, 277)(131, 254)(132, 253)(133, 258)(134, 257)(135, 287)(136, 288)(137, 251)(138, 252)(139, 284)(140, 255)(141, 286)(142, 256)(143, 261)(144, 262)
	local type(s) :: { ( 3, 24, 3, 24, 3, 24, 3, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.2610
Transitivity :: ET+ VT+ AT
Graph::
	v = 36 e = 144 f = 54
	degree seq :: [ 8^36 ]

E28.2612 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 24})
Quotient :: loop
Aut^+ = C3 x (C2 . S4 = SL(2,3) . C2) (small group id <144, 121>)
Aut   = $<288, 846>$ (small group id <288, 846>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-1, T1 * T2^-1 * T1^2 * T2 * T1, (T2 * T1)^3, T2^4 * T1 * T2^-4 * T1^-1, (T2 * T1^-1 * T2^-1 * T1^-1)^3, T2^-2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^2 * T1^-1, T2^7 * T1^-1 * T2^4 * T1^-1 * T2 ]
Map:: non-degenerate
	R = (1, 145, 3, 147, 10, 154, 27, 171, 54, 198, 98, 242, 137, 281, 140, 284, 112, 256, 70, 214, 38, 182, 18, 162, 6, 150, 17, 161, 37, 181, 69, 213, 111, 255, 139, 283, 138, 282, 110, 254, 68, 212, 36, 180, 16, 160, 5, 149)(2, 146, 7, 151, 20, 164, 41, 185, 76, 220, 122, 266, 143, 287, 135, 279, 103, 247, 59, 203, 31, 175, 13, 157, 4, 148, 12, 156, 30, 174, 58, 202, 99, 243, 136, 280, 144, 288, 132, 276, 88, 232, 48, 192, 24, 168, 8, 152)(9, 153, 22, 166, 44, 188, 81, 225, 121, 265, 75, 219, 118, 262, 108, 252, 67, 211, 102, 246, 57, 201, 29, 173, 11, 155, 23, 167, 45, 189, 83, 227, 123, 267, 77, 221, 119, 263, 109, 253, 66, 210, 93, 237, 51, 195, 25, 169)(14, 158, 32, 176, 61, 205, 97, 241, 53, 197, 94, 238, 131, 275, 86, 230, 117, 261, 73, 217, 39, 183, 19, 163, 15, 159, 33, 177, 63, 207, 100, 244, 55, 199, 95, 239, 130, 274, 87, 231, 125, 269, 79, 223, 43, 187, 21, 165)(26, 170, 49, 193, 89, 233, 116, 260, 142, 286, 127, 271, 104, 248, 60, 204, 35, 179, 65, 209, 101, 245, 56, 200, 28, 172, 50, 194, 90, 234, 115, 259, 141, 285, 128, 272, 107, 251, 62, 206, 34, 178, 64, 208, 96, 240, 52, 196)(40, 184, 71, 215, 113, 257, 91, 235, 133, 277, 106, 250, 126, 270, 80, 224, 47, 191, 85, 229, 124, 268, 78, 222, 42, 186, 72, 216, 114, 258, 92, 236, 134, 278, 105, 249, 129, 273, 82, 226, 46, 190, 84, 228, 120, 264, 74, 218)
	L = (1, 146)(2, 150)(3, 153)(4, 145)(5, 158)(6, 148)(7, 163)(8, 166)(9, 161)(10, 170)(11, 147)(12, 165)(13, 167)(14, 162)(15, 149)(16, 178)(17, 155)(18, 159)(19, 156)(20, 184)(21, 151)(22, 157)(23, 152)(24, 190)(25, 193)(26, 181)(27, 197)(28, 154)(29, 194)(30, 186)(31, 191)(32, 204)(33, 206)(34, 182)(35, 160)(36, 210)(37, 172)(38, 179)(39, 215)(40, 174)(41, 219)(42, 164)(43, 216)(44, 224)(45, 226)(46, 175)(47, 168)(48, 230)(49, 173)(50, 169)(51, 235)(52, 238)(53, 213)(54, 220)(55, 171)(56, 239)(57, 236)(58, 221)(59, 231)(60, 177)(61, 249)(62, 176)(63, 250)(64, 252)(65, 253)(66, 214)(67, 180)(68, 232)(69, 199)(70, 211)(71, 187)(72, 183)(73, 259)(74, 262)(75, 202)(76, 255)(77, 185)(78, 263)(79, 260)(80, 189)(81, 271)(82, 188)(83, 272)(84, 274)(85, 275)(86, 203)(87, 192)(88, 256)(89, 258)(90, 257)(91, 201)(92, 195)(93, 279)(94, 200)(95, 196)(96, 268)(97, 266)(98, 265)(99, 198)(100, 280)(101, 264)(102, 276)(103, 212)(104, 273)(105, 207)(106, 205)(107, 270)(108, 209)(109, 208)(110, 269)(111, 243)(112, 247)(113, 233)(114, 234)(115, 223)(116, 217)(117, 254)(118, 222)(119, 218)(120, 240)(121, 283)(122, 244)(123, 242)(124, 245)(125, 284)(126, 248)(127, 227)(128, 225)(129, 251)(130, 229)(131, 228)(132, 237)(133, 288)(134, 287)(135, 246)(136, 241)(137, 286)(138, 285)(139, 267)(140, 261)(141, 281)(142, 282)(143, 277)(144, 278)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.2608
Transitivity :: ET+ VT+ AT
Graph::
	v = 6 e = 144 f = 84
	degree seq :: [ 48^6 ]

E28.2613 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 24})
Quotient :: loop
Aut^+ = C3 x (C2 . S4 = SL(2,3) . C2) (small group id <144, 121>)
Aut   = $<288, 846>$ (small group id <288, 846>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, T1 * T2^-1 * T1 * T2 * T1^2 * T2, (T2^-1 * T1^-1)^4, (T2 * T1^-2)^3, T1^2 * T2^-1 * T1^-4 * T2 * T1^2, T1^2 * T2^-1 * T1 * T2^-1 * T1^-1 * T2 * T1 * T2^-1 * T1^-1 * T2, T2 * T1 * T2^-1 * T1^-1 * T2 * T1 * T2^-1 * T1^-2 * T2 * T1^-1, T1^24 ]
Map:: polytopal non-degenerate
	R = (1, 145, 3, 147, 5, 149)(2, 146, 7, 151, 8, 152)(4, 148, 11, 155, 13, 157)(6, 150, 17, 161, 18, 162)(9, 153, 24, 168, 25, 169)(10, 154, 26, 170, 28, 172)(12, 156, 31, 175, 33, 177)(14, 158, 37, 181, 38, 182)(15, 159, 39, 183, 41, 185)(16, 160, 43, 187, 44, 188)(19, 163, 48, 192, 35, 179)(20, 164, 49, 193, 51, 195)(21, 165, 40, 184, 53, 197)(22, 166, 54, 198, 56, 200)(23, 167, 30, 174, 58, 202)(27, 171, 63, 207, 65, 209)(29, 173, 59, 203, 68, 212)(32, 176, 72, 216, 74, 218)(34, 178, 60, 204, 77, 221)(36, 180, 62, 206, 79, 223)(42, 186, 84, 228, 85, 229)(45, 189, 89, 233, 91, 235)(46, 190, 55, 199, 92, 236)(47, 191, 93, 237, 95, 239)(50, 194, 98, 242, 100, 244)(52, 196, 97, 241, 69, 213)(57, 201, 105, 249, 106, 250)(61, 205, 80, 224, 110, 254)(64, 208, 113, 257, 115, 259)(66, 210, 81, 225, 117, 261)(67, 211, 71, 215, 118, 262)(70, 214, 108, 252, 121, 265)(73, 217, 114, 258, 124, 268)(75, 219, 119, 263, 111, 255)(76, 220, 107, 251, 125, 269)(78, 222, 126, 270, 127, 271)(82, 226, 130, 274, 96, 240)(83, 227, 116, 260, 128, 272)(86, 230, 132, 276, 133, 277)(87, 231, 94, 238, 134, 278)(88, 232, 135, 279, 136, 280)(90, 234, 122, 266, 138, 282)(99, 243, 139, 283, 140, 284)(101, 245, 103, 247, 109, 253)(102, 246, 142, 286, 143, 287)(104, 248, 144, 288, 137, 281)(112, 256, 129, 273, 123, 267)(120, 264, 131, 275, 141, 285)
	L = (1, 146)(2, 150)(3, 153)(4, 145)(5, 158)(6, 160)(7, 163)(8, 165)(9, 167)(10, 147)(11, 173)(12, 148)(13, 178)(14, 180)(15, 149)(16, 186)(17, 183)(18, 190)(19, 172)(20, 151)(21, 196)(22, 152)(23, 201)(24, 192)(25, 177)(26, 205)(27, 154)(28, 210)(29, 211)(30, 155)(31, 214)(32, 156)(33, 219)(34, 220)(35, 157)(36, 222)(37, 179)(38, 209)(39, 195)(40, 159)(41, 200)(42, 227)(43, 198)(44, 231)(45, 161)(46, 207)(47, 162)(48, 185)(49, 240)(50, 164)(51, 245)(52, 246)(53, 244)(54, 235)(55, 166)(56, 239)(57, 228)(58, 247)(59, 168)(60, 169)(61, 236)(62, 170)(63, 256)(64, 171)(65, 233)(66, 260)(67, 230)(68, 218)(69, 174)(70, 234)(71, 175)(72, 243)(73, 176)(74, 248)(75, 238)(76, 232)(77, 241)(78, 229)(79, 215)(80, 181)(81, 182)(82, 184)(83, 275)(84, 237)(85, 269)(86, 187)(87, 242)(88, 188)(89, 281)(90, 189)(91, 254)(92, 282)(93, 277)(94, 191)(95, 280)(96, 278)(97, 193)(98, 258)(99, 194)(100, 276)(101, 285)(102, 272)(103, 197)(104, 199)(105, 221)(106, 288)(107, 202)(108, 203)(109, 204)(110, 259)(111, 206)(112, 264)(113, 283)(114, 208)(115, 286)(116, 279)(117, 263)(118, 225)(119, 212)(120, 213)(121, 268)(122, 216)(123, 217)(124, 226)(125, 266)(126, 261)(127, 287)(128, 223)(129, 224)(130, 284)(131, 257)(132, 255)(133, 274)(134, 262)(135, 250)(136, 271)(137, 251)(138, 249)(139, 252)(140, 273)(141, 270)(142, 253)(143, 267)(144, 265)
	local type(s) :: { ( 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.2609
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 48 e = 144 f = 42
	degree seq :: [ 6^48 ]

E28.2614 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 24})
Quotient :: dipole
Aut^+ = C3 x (C2 . S4 = SL(2,3) . C2) (small group id <144, 121>)
Aut   = $<288, 846>$ (small group id <288, 846>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^2 * Y3^-1, Y2^4, (R * Y1)^2, (R * Y3)^2, Y2 * Y3^-1 * Y2^2 * Y1^-1 * Y2, (Y2^-1 * R * Y2^-1)^2, Y2^-1 * Y3 * Y2^-2 * Y3^-1 * Y2^-1, Y2^-1 * Y1 * Y2^-2 * Y1^-1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y3 * Y2 * Y1^-1 * Y2^2 * Y3 * Y2 * Y1^-1 * Y2^-1 * Y3^-1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y3 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^2 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 ]
Map::
	R = (1, 145, 2, 146, 4, 148)(3, 147, 8, 152, 10, 154)(5, 149, 13, 157, 14, 158)(6, 150, 15, 159, 17, 161)(7, 151, 18, 162, 19, 163)(9, 153, 16, 160, 22, 166)(11, 155, 25, 169, 26, 170)(12, 156, 27, 171, 28, 172)(20, 164, 33, 177, 34, 178)(21, 165, 35, 179, 36, 180)(23, 167, 37, 181, 38, 182)(24, 168, 39, 183, 40, 184)(29, 173, 45, 189, 46, 190)(30, 174, 47, 191, 48, 192)(31, 175, 49, 193, 50, 194)(32, 176, 51, 195, 52, 196)(41, 185, 61, 205, 62, 206)(42, 186, 63, 207, 64, 208)(43, 187, 65, 209, 66, 210)(44, 188, 67, 211, 68, 212)(53, 197, 77, 221, 78, 222)(54, 198, 79, 223, 80, 224)(55, 199, 74, 218, 81, 225)(56, 200, 73, 217, 82, 226)(57, 201, 83, 227, 84, 228)(58, 202, 85, 229, 86, 230)(59, 203, 87, 231, 88, 232)(60, 204, 89, 233, 90, 234)(69, 213, 97, 241, 98, 242)(70, 214, 99, 243, 100, 244)(71, 215, 94, 238, 101, 245)(72, 216, 93, 237, 102, 246)(75, 219, 103, 247, 104, 248)(76, 220, 105, 249, 106, 250)(91, 235, 119, 263, 120, 264)(92, 236, 121, 265, 122, 266)(95, 239, 123, 267, 124, 268)(96, 240, 125, 269, 126, 270)(107, 251, 127, 271, 137, 281)(108, 252, 128, 272, 138, 282)(109, 253, 116, 260, 132, 276)(110, 254, 115, 259, 131, 275)(111, 255, 139, 283, 140, 284)(112, 256, 141, 285, 142, 286)(113, 257, 129, 273, 134, 278)(114, 258, 130, 274, 133, 277)(117, 261, 135, 279, 143, 287)(118, 262, 136, 280, 144, 288)(289, 433, 291, 435, 297, 441, 293, 437)(290, 434, 294, 438, 304, 448, 295, 439)(292, 436, 299, 443, 310, 454, 300, 444)(296, 440, 308, 452, 301, 445, 309, 453)(298, 442, 311, 455, 302, 446, 312, 456)(303, 447, 317, 461, 306, 450, 318, 462)(305, 449, 319, 463, 307, 451, 320, 464)(313, 457, 329, 473, 315, 459, 330, 474)(314, 458, 331, 475, 316, 460, 332, 476)(321, 465, 341, 485, 323, 467, 342, 486)(322, 466, 343, 487, 324, 468, 344, 488)(325, 469, 345, 489, 327, 471, 346, 490)(326, 470, 347, 491, 328, 472, 348, 492)(333, 477, 357, 501, 335, 479, 358, 502)(334, 478, 359, 503, 336, 480, 360, 504)(337, 481, 361, 505, 339, 483, 362, 506)(338, 482, 363, 507, 340, 484, 364, 508)(349, 493, 379, 523, 351, 495, 380, 524)(350, 494, 374, 518, 352, 496, 372, 516)(353, 497, 381, 525, 355, 499, 382, 526)(354, 498, 383, 527, 356, 500, 384, 528)(365, 509, 395, 539, 367, 511, 396, 540)(366, 510, 397, 541, 368, 512, 398, 542)(369, 513, 399, 543, 370, 514, 400, 544)(371, 515, 401, 545, 373, 517, 402, 546)(375, 519, 403, 547, 377, 521, 404, 548)(376, 520, 405, 549, 378, 522, 406, 550)(385, 529, 415, 559, 387, 531, 416, 560)(386, 530, 417, 561, 388, 532, 418, 562)(389, 533, 419, 563, 390, 534, 420, 564)(391, 535, 421, 565, 393, 537, 422, 566)(392, 536, 423, 567, 394, 538, 424, 568)(407, 551, 425, 569, 409, 553, 426, 570)(408, 552, 429, 573, 410, 554, 427, 571)(411, 555, 428, 572, 413, 557, 430, 574)(412, 556, 431, 575, 414, 558, 432, 576)
	L = (1, 292)(2, 289)(3, 298)(4, 290)(5, 302)(6, 305)(7, 307)(8, 291)(9, 310)(10, 296)(11, 314)(12, 316)(13, 293)(14, 301)(15, 294)(16, 297)(17, 303)(18, 295)(19, 306)(20, 322)(21, 324)(22, 304)(23, 326)(24, 328)(25, 299)(26, 313)(27, 300)(28, 315)(29, 334)(30, 336)(31, 338)(32, 340)(33, 308)(34, 321)(35, 309)(36, 323)(37, 311)(38, 325)(39, 312)(40, 327)(41, 350)(42, 352)(43, 354)(44, 356)(45, 317)(46, 333)(47, 318)(48, 335)(49, 319)(50, 337)(51, 320)(52, 339)(53, 366)(54, 368)(55, 369)(56, 370)(57, 372)(58, 374)(59, 376)(60, 378)(61, 329)(62, 349)(63, 330)(64, 351)(65, 331)(66, 353)(67, 332)(68, 355)(69, 386)(70, 388)(71, 389)(72, 390)(73, 344)(74, 343)(75, 392)(76, 394)(77, 341)(78, 365)(79, 342)(80, 367)(81, 362)(82, 361)(83, 345)(84, 371)(85, 346)(86, 373)(87, 347)(88, 375)(89, 348)(90, 377)(91, 408)(92, 410)(93, 360)(94, 359)(95, 412)(96, 414)(97, 357)(98, 385)(99, 358)(100, 387)(101, 382)(102, 381)(103, 363)(104, 391)(105, 364)(106, 393)(107, 425)(108, 426)(109, 420)(110, 419)(111, 428)(112, 430)(113, 422)(114, 421)(115, 398)(116, 397)(117, 431)(118, 432)(119, 379)(120, 407)(121, 380)(122, 409)(123, 383)(124, 411)(125, 384)(126, 413)(127, 395)(128, 396)(129, 401)(130, 402)(131, 403)(132, 404)(133, 418)(134, 417)(135, 405)(136, 406)(137, 415)(138, 416)(139, 399)(140, 427)(141, 400)(142, 429)(143, 423)(144, 424)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 2, 48, 2, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E28.2617
Graph:: bipartite
	v = 84 e = 288 f = 150
	degree seq :: [ 6^48, 8^36 ]

E28.2615 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 24})
Quotient :: dipole
Aut^+ = C3 x (C2 . S4 = SL(2,3) . C2) (small group id <144, 121>)
Aut   = $<288, 846>$ (small group id <288, 846>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, Y1^4, (R * Y1)^2, Y1^-1 * Y2^-1 * Y1^-2 * Y2 * Y1^-1, (Y2 * Y1)^3, Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, (Y3^-1 * Y1^-1)^3, Y2^-4 * Y1 * Y2^4 * Y1^-1, Y2^-2 * Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1^-1, Y2 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-2 * Y1 * Y2^-2 * Y1^-1, Y2^8 * Y1 * Y2^4 * Y1 ]
Map::
	R = (1, 145, 2, 146, 6, 150, 4, 148)(3, 147, 9, 153, 17, 161, 11, 155)(5, 149, 14, 158, 18, 162, 15, 159)(7, 151, 19, 163, 12, 156, 21, 165)(8, 152, 22, 166, 13, 157, 23, 167)(10, 154, 26, 170, 37, 181, 28, 172)(16, 160, 34, 178, 38, 182, 35, 179)(20, 164, 40, 184, 30, 174, 42, 186)(24, 168, 46, 190, 31, 175, 47, 191)(25, 169, 49, 193, 29, 173, 50, 194)(27, 171, 53, 197, 69, 213, 55, 199)(32, 176, 60, 204, 33, 177, 62, 206)(36, 180, 66, 210, 70, 214, 67, 211)(39, 183, 71, 215, 43, 187, 72, 216)(41, 185, 75, 219, 58, 202, 77, 221)(44, 188, 80, 224, 45, 189, 82, 226)(48, 192, 86, 230, 59, 203, 87, 231)(51, 195, 91, 235, 57, 201, 92, 236)(52, 196, 94, 238, 56, 200, 95, 239)(54, 198, 76, 220, 111, 255, 99, 243)(61, 205, 105, 249, 63, 207, 106, 250)(64, 208, 108, 252, 65, 209, 109, 253)(68, 212, 88, 232, 112, 256, 103, 247)(73, 217, 115, 259, 79, 223, 116, 260)(74, 218, 118, 262, 78, 222, 119, 263)(81, 225, 127, 271, 83, 227, 128, 272)(84, 228, 130, 274, 85, 229, 131, 275)(89, 233, 114, 258, 90, 234, 113, 257)(93, 237, 135, 279, 102, 246, 132, 276)(96, 240, 124, 268, 101, 245, 120, 264)(97, 241, 122, 266, 100, 244, 136, 280)(98, 242, 121, 265, 139, 283, 123, 267)(104, 248, 129, 273, 107, 251, 126, 270)(110, 254, 125, 269, 140, 284, 117, 261)(133, 277, 144, 288, 134, 278, 143, 287)(137, 281, 142, 286, 138, 282, 141, 285)(289, 433, 291, 435, 298, 442, 315, 459, 342, 486, 386, 530, 425, 569, 428, 572, 400, 544, 358, 502, 326, 470, 306, 450, 294, 438, 305, 449, 325, 469, 357, 501, 399, 543, 427, 571, 426, 570, 398, 542, 356, 500, 324, 468, 304, 448, 293, 437)(290, 434, 295, 439, 308, 452, 329, 473, 364, 508, 410, 554, 431, 575, 423, 567, 391, 535, 347, 491, 319, 463, 301, 445, 292, 436, 300, 444, 318, 462, 346, 490, 387, 531, 424, 568, 432, 576, 420, 564, 376, 520, 336, 480, 312, 456, 296, 440)(297, 441, 310, 454, 332, 476, 369, 513, 409, 553, 363, 507, 406, 550, 396, 540, 355, 499, 390, 534, 345, 489, 317, 461, 299, 443, 311, 455, 333, 477, 371, 515, 411, 555, 365, 509, 407, 551, 397, 541, 354, 498, 381, 525, 339, 483, 313, 457)(302, 446, 320, 464, 349, 493, 385, 529, 341, 485, 382, 526, 419, 563, 374, 518, 405, 549, 361, 505, 327, 471, 307, 451, 303, 447, 321, 465, 351, 495, 388, 532, 343, 487, 383, 527, 418, 562, 375, 519, 413, 557, 367, 511, 331, 475, 309, 453)(314, 458, 337, 481, 377, 521, 404, 548, 430, 574, 415, 559, 392, 536, 348, 492, 323, 467, 353, 497, 389, 533, 344, 488, 316, 460, 338, 482, 378, 522, 403, 547, 429, 573, 416, 560, 395, 539, 350, 494, 322, 466, 352, 496, 384, 528, 340, 484)(328, 472, 359, 503, 401, 545, 379, 523, 421, 565, 394, 538, 414, 558, 368, 512, 335, 479, 373, 517, 412, 556, 366, 510, 330, 474, 360, 504, 402, 546, 380, 524, 422, 566, 393, 537, 417, 561, 370, 514, 334, 478, 372, 516, 408, 552, 362, 506)
	L = (1, 291)(2, 295)(3, 298)(4, 300)(5, 289)(6, 305)(7, 308)(8, 290)(9, 310)(10, 315)(11, 311)(12, 318)(13, 292)(14, 320)(15, 321)(16, 293)(17, 325)(18, 294)(19, 303)(20, 329)(21, 302)(22, 332)(23, 333)(24, 296)(25, 297)(26, 337)(27, 342)(28, 338)(29, 299)(30, 346)(31, 301)(32, 349)(33, 351)(34, 352)(35, 353)(36, 304)(37, 357)(38, 306)(39, 307)(40, 359)(41, 364)(42, 360)(43, 309)(44, 369)(45, 371)(46, 372)(47, 373)(48, 312)(49, 377)(50, 378)(51, 313)(52, 314)(53, 382)(54, 386)(55, 383)(56, 316)(57, 317)(58, 387)(59, 319)(60, 323)(61, 385)(62, 322)(63, 388)(64, 384)(65, 389)(66, 381)(67, 390)(68, 324)(69, 399)(70, 326)(71, 401)(72, 402)(73, 327)(74, 328)(75, 406)(76, 410)(77, 407)(78, 330)(79, 331)(80, 335)(81, 409)(82, 334)(83, 411)(84, 408)(85, 412)(86, 405)(87, 413)(88, 336)(89, 404)(90, 403)(91, 421)(92, 422)(93, 339)(94, 419)(95, 418)(96, 340)(97, 341)(98, 425)(99, 424)(100, 343)(101, 344)(102, 345)(103, 347)(104, 348)(105, 417)(106, 414)(107, 350)(108, 355)(109, 354)(110, 356)(111, 427)(112, 358)(113, 379)(114, 380)(115, 429)(116, 430)(117, 361)(118, 396)(119, 397)(120, 362)(121, 363)(122, 431)(123, 365)(124, 366)(125, 367)(126, 368)(127, 392)(128, 395)(129, 370)(130, 375)(131, 374)(132, 376)(133, 394)(134, 393)(135, 391)(136, 432)(137, 428)(138, 398)(139, 426)(140, 400)(141, 416)(142, 415)(143, 423)(144, 420)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2616
Graph:: bipartite
	v = 42 e = 288 f = 192
	degree seq :: [ 8^36, 48^6 ]

E28.2616 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 24})
Quotient :: dipole
Aut^+ = C3 x (C2 . S4 = SL(2,3) . C2) (small group id <144, 121>)
Aut   = $<288, 846>$ (small group id <288, 846>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2 * Y3, (Y3 * Y2^-1)^4, (Y3^2 * Y2)^3, Y3^2 * Y2 * Y3^-4 * Y2^-1 * Y3^2, Y3^2 * Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1, Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y2 * Y3^-2 * Y2^-1 * Y3^-1, (Y3^-1 * Y1^-1)^24 ]
Map:: polytopal
	R = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)(289, 433, 290, 434, 292, 436)(291, 435, 296, 440, 298, 442)(293, 437, 301, 445, 302, 446)(294, 438, 304, 448, 306, 450)(295, 439, 307, 451, 308, 452)(297, 441, 312, 456, 314, 458)(299, 443, 317, 461, 319, 463)(300, 444, 320, 464, 321, 465)(303, 447, 327, 471, 328, 472)(305, 449, 332, 476, 334, 478)(309, 453, 310, 454, 339, 483)(311, 455, 336, 480, 342, 486)(313, 457, 346, 490, 348, 492)(315, 459, 324, 468, 337, 481)(316, 460, 338, 482, 350, 494)(318, 462, 353, 497, 326, 470)(322, 466, 330, 474, 358, 502)(323, 467, 360, 504, 352, 496)(325, 469, 362, 506, 355, 499)(329, 473, 368, 512, 369, 513)(331, 475, 356, 500, 372, 516)(333, 477, 375, 519, 377, 521)(335, 479, 357, 501, 379, 523)(340, 484, 385, 529, 386, 530)(341, 485, 364, 508, 389, 533)(343, 487, 344, 488, 391, 535)(345, 489, 381, 525, 393, 537)(347, 491, 376, 520, 398, 542)(349, 493, 390, 534, 371, 515)(351, 495, 383, 527, 401, 545)(354, 498, 405, 549, 406, 550)(359, 503, 410, 554, 411, 555)(361, 505, 413, 557, 404, 548)(363, 507, 373, 517, 367, 511)(365, 509, 378, 522, 414, 558)(366, 510, 416, 560, 407, 551)(370, 514, 387, 531, 412, 556)(374, 518, 408, 552, 397, 541)(380, 524, 409, 553, 418, 562)(382, 526, 403, 547, 384, 528)(388, 532, 421, 565, 427, 571)(392, 536, 419, 563, 429, 573)(394, 538, 395, 539, 420, 564)(396, 540, 422, 566, 430, 574)(399, 543, 426, 570, 424, 568)(400, 544, 428, 572, 417, 561)(402, 546, 425, 569, 432, 576)(415, 559, 423, 567, 431, 575)
	L = (1, 291)(2, 294)(3, 297)(4, 299)(5, 289)(6, 305)(7, 290)(8, 310)(9, 313)(10, 315)(11, 318)(12, 292)(13, 323)(14, 325)(15, 293)(16, 330)(17, 333)(18, 324)(19, 336)(20, 338)(21, 295)(22, 341)(23, 296)(24, 344)(25, 347)(26, 308)(27, 320)(28, 298)(29, 327)(30, 354)(31, 337)(32, 356)(33, 357)(34, 300)(35, 361)(36, 301)(37, 363)(38, 302)(39, 365)(40, 366)(41, 303)(42, 371)(43, 304)(44, 367)(45, 376)(46, 321)(47, 306)(48, 381)(49, 307)(50, 382)(51, 383)(52, 309)(53, 388)(54, 390)(55, 311)(56, 358)(57, 312)(58, 395)(59, 397)(60, 342)(61, 314)(62, 385)(63, 316)(64, 317)(65, 384)(66, 398)(67, 319)(68, 408)(69, 391)(70, 409)(71, 322)(72, 389)(73, 396)(74, 368)(75, 399)(76, 326)(77, 394)(78, 400)(79, 328)(80, 392)(81, 402)(82, 329)(83, 419)(84, 414)(85, 331)(86, 332)(87, 421)(88, 413)(89, 372)(90, 334)(91, 410)(92, 335)(93, 422)(94, 423)(95, 424)(96, 339)(97, 420)(98, 425)(99, 340)(100, 374)(101, 350)(102, 379)(103, 428)(104, 343)(105, 426)(106, 345)(107, 401)(108, 346)(109, 431)(110, 393)(111, 348)(112, 349)(113, 412)(114, 351)(115, 352)(116, 353)(117, 429)(118, 360)(119, 355)(120, 430)(121, 415)(122, 427)(123, 432)(124, 359)(125, 417)(126, 362)(127, 364)(128, 387)(129, 369)(130, 370)(131, 404)(132, 373)(133, 418)(134, 375)(135, 377)(136, 378)(137, 380)(138, 386)(139, 403)(140, 406)(141, 416)(142, 405)(143, 411)(144, 407)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 8, 48 ), ( 8, 48, 8, 48, 8, 48 ) }
Outer automorphisms :: reflexible
Dual of E28.2615
Graph:: simple bipartite
	v = 192 e = 288 f = 42
	degree seq :: [ 2^144, 6^48 ]

E28.2617 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 24})
Quotient :: dipole
Aut^+ = C3 x (C2 . S4 = SL(2,3) . C2) (small group id <144, 121>)
Aut   = $<288, 846>$ (small group id <288, 846>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y3 * Y1^-1 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-1, (Y3^-1 * Y1^-1)^4, (Y1 * Y3^-1 * Y1)^3, Y1^2 * Y3^-1 * Y1^-4 * Y3 * Y1^2, Y3 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^-2, Y3 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^-2 * Y3 * Y1^-1, Y1^24 ]
Map::
	R = (1, 145, 2, 146, 6, 150, 16, 160, 42, 186, 83, 227, 131, 275, 113, 257, 139, 283, 108, 252, 59, 203, 24, 168, 48, 192, 41, 185, 56, 200, 95, 239, 136, 280, 127, 271, 143, 287, 123, 267, 73, 217, 32, 176, 12, 156, 4, 148)(3, 147, 9, 153, 23, 167, 57, 201, 84, 228, 93, 237, 133, 277, 130, 274, 140, 284, 129, 273, 80, 224, 37, 181, 35, 179, 13, 157, 34, 178, 76, 220, 88, 232, 44, 188, 87, 231, 98, 242, 114, 258, 64, 208, 27, 171, 10, 154)(5, 149, 14, 158, 36, 180, 78, 222, 85, 229, 125, 269, 122, 266, 72, 216, 99, 243, 50, 194, 20, 164, 7, 151, 19, 163, 28, 172, 66, 210, 116, 260, 135, 279, 106, 250, 144, 288, 121, 265, 124, 268, 82, 226, 40, 184, 15, 159)(8, 152, 21, 165, 52, 196, 102, 246, 128, 272, 79, 223, 71, 215, 31, 175, 70, 214, 90, 234, 45, 189, 17, 161, 39, 183, 51, 195, 101, 245, 141, 285, 126, 270, 117, 261, 119, 263, 68, 212, 74, 218, 104, 248, 55, 199, 22, 166)(11, 155, 29, 173, 67, 211, 86, 230, 43, 187, 54, 198, 91, 235, 110, 254, 115, 259, 142, 286, 109, 253, 60, 204, 25, 169, 33, 177, 75, 219, 94, 238, 47, 191, 18, 162, 46, 190, 63, 207, 112, 256, 120, 264, 69, 213, 30, 174)(26, 170, 61, 205, 92, 236, 138, 282, 105, 249, 77, 221, 97, 241, 49, 193, 96, 240, 134, 278, 118, 262, 81, 225, 38, 182, 65, 209, 89, 233, 137, 281, 107, 251, 58, 202, 103, 247, 53, 197, 100, 244, 132, 276, 111, 255, 62, 206)(289, 433)(290, 434)(291, 435)(292, 436)(293, 437)(294, 438)(295, 439)(296, 440)(297, 441)(298, 442)(299, 443)(300, 444)(301, 445)(302, 446)(303, 447)(304, 448)(305, 449)(306, 450)(307, 451)(308, 452)(309, 453)(310, 454)(311, 455)(312, 456)(313, 457)(314, 458)(315, 459)(316, 460)(317, 461)(318, 462)(319, 463)(320, 464)(321, 465)(322, 466)(323, 467)(324, 468)(325, 469)(326, 470)(327, 471)(328, 472)(329, 473)(330, 474)(331, 475)(332, 476)(333, 477)(334, 478)(335, 479)(336, 480)(337, 481)(338, 482)(339, 483)(340, 484)(341, 485)(342, 486)(343, 487)(344, 488)(345, 489)(346, 490)(347, 491)(348, 492)(349, 493)(350, 494)(351, 495)(352, 496)(353, 497)(354, 498)(355, 499)(356, 500)(357, 501)(358, 502)(359, 503)(360, 504)(361, 505)(362, 506)(363, 507)(364, 508)(365, 509)(366, 510)(367, 511)(368, 512)(369, 513)(370, 514)(371, 515)(372, 516)(373, 517)(374, 518)(375, 519)(376, 520)(377, 521)(378, 522)(379, 523)(380, 524)(381, 525)(382, 526)(383, 527)(384, 528)(385, 529)(386, 530)(387, 531)(388, 532)(389, 533)(390, 534)(391, 535)(392, 536)(393, 537)(394, 538)(395, 539)(396, 540)(397, 541)(398, 542)(399, 543)(400, 544)(401, 545)(402, 546)(403, 547)(404, 548)(405, 549)(406, 550)(407, 551)(408, 552)(409, 553)(410, 554)(411, 555)(412, 556)(413, 557)(414, 558)(415, 559)(416, 560)(417, 561)(418, 562)(419, 563)(420, 564)(421, 565)(422, 566)(423, 567)(424, 568)(425, 569)(426, 570)(427, 571)(428, 572)(429, 573)(430, 574)(431, 575)(432, 576)
	L = (1, 291)(2, 295)(3, 293)(4, 299)(5, 289)(6, 305)(7, 296)(8, 290)(9, 312)(10, 314)(11, 301)(12, 319)(13, 292)(14, 325)(15, 327)(16, 331)(17, 306)(18, 294)(19, 336)(20, 337)(21, 328)(22, 342)(23, 318)(24, 313)(25, 297)(26, 316)(27, 351)(28, 298)(29, 347)(30, 346)(31, 321)(32, 360)(33, 300)(34, 348)(35, 307)(36, 350)(37, 326)(38, 302)(39, 329)(40, 341)(41, 303)(42, 372)(43, 332)(44, 304)(45, 377)(46, 343)(47, 381)(48, 323)(49, 339)(50, 386)(51, 308)(52, 385)(53, 309)(54, 344)(55, 380)(56, 310)(57, 393)(58, 311)(59, 356)(60, 365)(61, 368)(62, 367)(63, 353)(64, 401)(65, 315)(66, 369)(67, 359)(68, 317)(69, 340)(70, 396)(71, 406)(72, 362)(73, 402)(74, 320)(75, 407)(76, 395)(77, 322)(78, 414)(79, 324)(80, 398)(81, 405)(82, 418)(83, 404)(84, 373)(85, 330)(86, 420)(87, 382)(88, 423)(89, 379)(90, 410)(91, 333)(92, 334)(93, 383)(94, 422)(95, 335)(96, 370)(97, 357)(98, 388)(99, 427)(100, 338)(101, 391)(102, 430)(103, 397)(104, 432)(105, 394)(106, 345)(107, 413)(108, 409)(109, 389)(110, 349)(111, 363)(112, 417)(113, 403)(114, 412)(115, 352)(116, 416)(117, 354)(118, 355)(119, 399)(120, 419)(121, 358)(122, 426)(123, 400)(124, 361)(125, 364)(126, 415)(127, 366)(128, 371)(129, 411)(130, 384)(131, 429)(132, 421)(133, 374)(134, 375)(135, 424)(136, 376)(137, 392)(138, 378)(139, 428)(140, 387)(141, 408)(142, 431)(143, 390)(144, 425)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.2614
Graph:: simple bipartite
	v = 150 e = 288 f = 84
	degree seq :: [ 2^144, 48^6 ]

E28.2618 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 24})
Quotient :: dipole
Aut^+ = C3 x (C2 . S4 = SL(2,3) . C2) (small group id <144, 121>)
Aut   = $<288, 846>$ (small group id <288, 846>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y3^3, Y3 * Y1^-2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y3 * Y2 * Y1 * Y3, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y2 * Y3^-1 * Y2^2 * Y1, Y2 * Y3 * Y2 * Y1 * Y2^2 * Y3^-1, (Y2^-1 * Y1^-1)^4, Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1 * Y2^-2 * Y3^-1, Y2 * Y3 * Y2^2 * Y1^-1 * Y2^2 * Y3 * Y2, (Y2^-2 * R * Y2^-2)^2, Y2^3 * Y1^-1 * Y2^-4 * Y3^-1 * Y2, Y2^4 * Y3^-1 * Y2^-4 * Y1^-1, Y2^24 ]
Map::
	R = (1, 145, 2, 146, 4, 148)(3, 147, 8, 152, 10, 154)(5, 149, 13, 157, 14, 158)(6, 150, 16, 160, 18, 162)(7, 151, 19, 163, 20, 164)(9, 153, 24, 168, 26, 170)(11, 155, 29, 173, 31, 175)(12, 156, 32, 176, 33, 177)(15, 159, 39, 183, 40, 184)(17, 161, 36, 180, 45, 189)(21, 165, 50, 194, 51, 195)(22, 166, 42, 186, 38, 182)(23, 167, 53, 197, 54, 198)(25, 169, 57, 201, 59, 203)(27, 171, 34, 178, 63, 207)(28, 172, 64, 208, 65, 209)(30, 174, 48, 192, 69, 213)(35, 179, 43, 187, 73, 217)(37, 181, 46, 190, 76, 220)(41, 185, 80, 224, 81, 225)(44, 188, 84, 228, 86, 230)(47, 191, 67, 211, 91, 235)(49, 193, 70, 214, 94, 238)(52, 196, 97, 241, 98, 242)(55, 199, 103, 247, 104, 248)(56, 200, 96, 240, 106, 250)(58, 202, 85, 229, 110, 254)(60, 204, 66, 210, 90, 234)(61, 205, 113, 257, 114, 258)(62, 206, 101, 245, 74, 218)(68, 212, 119, 263, 120, 264)(71, 215, 123, 267, 100, 244)(72, 216, 78, 222, 122, 266)(75, 219, 88, 232, 127, 271)(77, 221, 83, 227, 128, 272)(79, 223, 125, 269, 92, 236)(82, 226, 99, 243, 124, 268)(87, 231, 89, 233, 102, 246)(93, 237, 121, 265, 109, 253)(95, 239, 118, 262, 130, 274)(105, 249, 131, 275, 141, 285)(107, 251, 129, 273, 132, 276)(108, 252, 137, 281, 142, 286)(111, 255, 115, 259, 139, 283)(112, 256, 134, 278, 143, 287)(116, 260, 136, 280, 144, 288)(117, 261, 133, 277, 135, 279)(126, 270, 138, 282, 140, 284)(289, 433, 291, 435, 297, 441, 313, 457, 346, 490, 397, 541, 426, 570, 385, 529, 419, 563, 371, 515, 331, 475, 304, 448, 330, 474, 321, 465, 353, 497, 402, 546, 431, 575, 408, 552, 432, 576, 418, 562, 370, 514, 329, 473, 303, 447, 293, 437)(290, 434, 294, 438, 305, 449, 332, 476, 373, 517, 401, 545, 430, 574, 411, 555, 429, 573, 406, 550, 355, 499, 317, 461, 326, 470, 302, 446, 325, 469, 363, 507, 400, 544, 347, 491, 399, 543, 391, 535, 387, 531, 340, 484, 309, 453, 295, 439)(292, 436, 299, 443, 318, 462, 356, 500, 398, 542, 415, 559, 417, 561, 368, 512, 393, 537, 343, 487, 311, 455, 296, 440, 310, 454, 308, 452, 337, 481, 381, 525, 422, 566, 374, 518, 421, 565, 416, 560, 412, 556, 359, 503, 322, 466, 300, 444)(298, 442, 315, 459, 350, 494, 404, 548, 409, 553, 357, 501, 366, 510, 327, 471, 365, 509, 395, 539, 344, 488, 312, 456, 320, 464, 342, 486, 390, 534, 428, 572, 407, 551, 382, 526, 413, 557, 361, 505, 369, 513, 405, 549, 354, 498, 316, 460)(301, 445, 323, 467, 360, 504, 396, 540, 345, 489, 352, 496, 394, 538, 379, 523, 386, 530, 424, 568, 377, 521, 334, 478, 306, 450, 328, 472, 367, 511, 403, 547, 349, 493, 314, 458, 348, 492, 338, 482, 383, 527, 414, 558, 362, 506, 324, 468)(307, 451, 335, 479, 378, 522, 420, 564, 372, 516, 364, 508, 389, 533, 341, 485, 388, 532, 427, 571, 410, 554, 358, 502, 319, 463, 339, 483, 384, 528, 423, 567, 376, 520, 333, 477, 375, 519, 351, 495, 392, 536, 425, 569, 380, 524, 336, 480)
	L = (1, 292)(2, 289)(3, 298)(4, 290)(5, 302)(6, 306)(7, 308)(8, 291)(9, 314)(10, 296)(11, 319)(12, 321)(13, 293)(14, 301)(15, 328)(16, 294)(17, 333)(18, 304)(19, 295)(20, 307)(21, 339)(22, 326)(23, 342)(24, 297)(25, 347)(26, 312)(27, 351)(28, 353)(29, 299)(30, 357)(31, 317)(32, 300)(33, 320)(34, 315)(35, 361)(36, 305)(37, 364)(38, 330)(39, 303)(40, 327)(41, 369)(42, 310)(43, 323)(44, 374)(45, 324)(46, 325)(47, 379)(48, 318)(49, 382)(50, 309)(51, 338)(52, 386)(53, 311)(54, 341)(55, 392)(56, 394)(57, 313)(58, 398)(59, 345)(60, 378)(61, 402)(62, 362)(63, 322)(64, 316)(65, 352)(66, 348)(67, 335)(68, 408)(69, 336)(70, 337)(71, 388)(72, 410)(73, 331)(74, 389)(75, 415)(76, 334)(77, 416)(78, 360)(79, 380)(80, 329)(81, 368)(82, 412)(83, 365)(84, 332)(85, 346)(86, 372)(87, 390)(88, 363)(89, 375)(90, 354)(91, 355)(92, 413)(93, 397)(94, 358)(95, 418)(96, 344)(97, 340)(98, 385)(99, 370)(100, 411)(101, 350)(102, 377)(103, 343)(104, 391)(105, 429)(106, 384)(107, 420)(108, 430)(109, 409)(110, 373)(111, 427)(112, 431)(113, 349)(114, 401)(115, 399)(116, 432)(117, 423)(118, 383)(119, 356)(120, 407)(121, 381)(122, 366)(123, 359)(124, 387)(125, 367)(126, 428)(127, 376)(128, 371)(129, 395)(130, 406)(131, 393)(132, 417)(133, 405)(134, 400)(135, 421)(136, 404)(137, 396)(138, 414)(139, 403)(140, 426)(141, 419)(142, 425)(143, 422)(144, 424)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.2619
Graph:: bipartite
	v = 54 e = 288 f = 180
	degree seq :: [ 6^48, 48^6 ]

E28.2619 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 24})
Quotient :: dipole
Aut^+ = C3 x (C2 . S4 = SL(2,3) . C2) (small group id <144, 121>)
Aut   = $<288, 846>$ (small group id <288, 846>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^4, Y1^4, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^2 * Y3^-1 * Y1^2 * Y3, (Y3^-1 * Y1^-1)^3, Y3^4 * Y1 * Y3^-4 * Y1^-1, Y3^-2 * Y1 * Y3^2 * Y1 * Y3^-2 * Y1 * Y3^2 * Y1^-1, Y3^2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^2 * Y1^-1, Y3^7 * Y1^-1 * Y3^4 * Y1^-1 * Y3, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 145, 2, 146, 6, 150, 4, 148)(3, 147, 9, 153, 17, 161, 11, 155)(5, 149, 14, 158, 18, 162, 15, 159)(7, 151, 19, 163, 12, 156, 21, 165)(8, 152, 22, 166, 13, 157, 23, 167)(10, 154, 26, 170, 37, 181, 28, 172)(16, 160, 34, 178, 38, 182, 35, 179)(20, 164, 40, 184, 30, 174, 42, 186)(24, 168, 46, 190, 31, 175, 47, 191)(25, 169, 49, 193, 29, 173, 50, 194)(27, 171, 53, 197, 69, 213, 55, 199)(32, 176, 60, 204, 33, 177, 62, 206)(36, 180, 66, 210, 70, 214, 67, 211)(39, 183, 71, 215, 43, 187, 72, 216)(41, 185, 75, 219, 58, 202, 77, 221)(44, 188, 80, 224, 45, 189, 82, 226)(48, 192, 86, 230, 59, 203, 87, 231)(51, 195, 91, 235, 57, 201, 92, 236)(52, 196, 94, 238, 56, 200, 95, 239)(54, 198, 76, 220, 111, 255, 99, 243)(61, 205, 105, 249, 63, 207, 106, 250)(64, 208, 108, 252, 65, 209, 109, 253)(68, 212, 88, 232, 112, 256, 103, 247)(73, 217, 115, 259, 79, 223, 116, 260)(74, 218, 118, 262, 78, 222, 119, 263)(81, 225, 127, 271, 83, 227, 128, 272)(84, 228, 130, 274, 85, 229, 131, 275)(89, 233, 114, 258, 90, 234, 113, 257)(93, 237, 135, 279, 102, 246, 132, 276)(96, 240, 124, 268, 101, 245, 120, 264)(97, 241, 122, 266, 100, 244, 136, 280)(98, 242, 121, 265, 139, 283, 123, 267)(104, 248, 129, 273, 107, 251, 126, 270)(110, 254, 125, 269, 140, 284, 117, 261)(133, 277, 144, 288, 134, 278, 143, 287)(137, 281, 142, 286, 138, 282, 141, 285)(289, 433)(290, 434)(291, 435)(292, 436)(293, 437)(294, 438)(295, 439)(296, 440)(297, 441)(298, 442)(299, 443)(300, 444)(301, 445)(302, 446)(303, 447)(304, 448)(305, 449)(306, 450)(307, 451)(308, 452)(309, 453)(310, 454)(311, 455)(312, 456)(313, 457)(314, 458)(315, 459)(316, 460)(317, 461)(318, 462)(319, 463)(320, 464)(321, 465)(322, 466)(323, 467)(324, 468)(325, 469)(326, 470)(327, 471)(328, 472)(329, 473)(330, 474)(331, 475)(332, 476)(333, 477)(334, 478)(335, 479)(336, 480)(337, 481)(338, 482)(339, 483)(340, 484)(341, 485)(342, 486)(343, 487)(344, 488)(345, 489)(346, 490)(347, 491)(348, 492)(349, 493)(350, 494)(351, 495)(352, 496)(353, 497)(354, 498)(355, 499)(356, 500)(357, 501)(358, 502)(359, 503)(360, 504)(361, 505)(362, 506)(363, 507)(364, 508)(365, 509)(366, 510)(367, 511)(368, 512)(369, 513)(370, 514)(371, 515)(372, 516)(373, 517)(374, 518)(375, 519)(376, 520)(377, 521)(378, 522)(379, 523)(380, 524)(381, 525)(382, 526)(383, 527)(384, 528)(385, 529)(386, 530)(387, 531)(388, 532)(389, 533)(390, 534)(391, 535)(392, 536)(393, 537)(394, 538)(395, 539)(396, 540)(397, 541)(398, 542)(399, 543)(400, 544)(401, 545)(402, 546)(403, 547)(404, 548)(405, 549)(406, 550)(407, 551)(408, 552)(409, 553)(410, 554)(411, 555)(412, 556)(413, 557)(414, 558)(415, 559)(416, 560)(417, 561)(418, 562)(419, 563)(420, 564)(421, 565)(422, 566)(423, 567)(424, 568)(425, 569)(426, 570)(427, 571)(428, 572)(429, 573)(430, 574)(431, 575)(432, 576)
	L = (1, 291)(2, 295)(3, 298)(4, 300)(5, 289)(6, 305)(7, 308)(8, 290)(9, 310)(10, 315)(11, 311)(12, 318)(13, 292)(14, 320)(15, 321)(16, 293)(17, 325)(18, 294)(19, 303)(20, 329)(21, 302)(22, 332)(23, 333)(24, 296)(25, 297)(26, 337)(27, 342)(28, 338)(29, 299)(30, 346)(31, 301)(32, 349)(33, 351)(34, 352)(35, 353)(36, 304)(37, 357)(38, 306)(39, 307)(40, 359)(41, 364)(42, 360)(43, 309)(44, 369)(45, 371)(46, 372)(47, 373)(48, 312)(49, 377)(50, 378)(51, 313)(52, 314)(53, 382)(54, 386)(55, 383)(56, 316)(57, 317)(58, 387)(59, 319)(60, 323)(61, 385)(62, 322)(63, 388)(64, 384)(65, 389)(66, 381)(67, 390)(68, 324)(69, 399)(70, 326)(71, 401)(72, 402)(73, 327)(74, 328)(75, 406)(76, 410)(77, 407)(78, 330)(79, 331)(80, 335)(81, 409)(82, 334)(83, 411)(84, 408)(85, 412)(86, 405)(87, 413)(88, 336)(89, 404)(90, 403)(91, 421)(92, 422)(93, 339)(94, 419)(95, 418)(96, 340)(97, 341)(98, 425)(99, 424)(100, 343)(101, 344)(102, 345)(103, 347)(104, 348)(105, 417)(106, 414)(107, 350)(108, 355)(109, 354)(110, 356)(111, 427)(112, 358)(113, 379)(114, 380)(115, 429)(116, 430)(117, 361)(118, 396)(119, 397)(120, 362)(121, 363)(122, 431)(123, 365)(124, 366)(125, 367)(126, 368)(127, 392)(128, 395)(129, 370)(130, 375)(131, 374)(132, 376)(133, 394)(134, 393)(135, 391)(136, 432)(137, 428)(138, 398)(139, 426)(140, 400)(141, 416)(142, 415)(143, 423)(144, 420)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 6, 48 ), ( 6, 48, 6, 48, 6, 48, 6, 48 ) }
Outer automorphisms :: reflexible
Dual of E28.2618
Graph:: simple bipartite
	v = 180 e = 288 f = 54
	degree seq :: [ 2^144, 8^36 ]

E28.2620 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 12, 24})
Quotient :: regular
Aut^+ = C3 x (C24 : C2) (small group id <144, 71>)
Aut   = $<288, 442>$ (small group id <288, 442>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1^-2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 * T2, T1^-7 * T2 * T1^3 * T2 * T1^-2, (T2 * T1^-6)^2 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 43, 71, 107, 89, 56, 84, 120, 140, 133, 94, 61, 85, 121, 106, 70, 42, 22, 10, 4)(3, 7, 15, 31, 55, 87, 118, 78, 46, 24, 45, 75, 115, 102, 68, 41, 67, 101, 108, 96, 62, 36, 18, 8)(6, 13, 27, 51, 83, 123, 105, 114, 74, 44, 73, 111, 100, 66, 40, 21, 39, 65, 99, 126, 86, 54, 30, 14)(9, 19, 37, 63, 97, 122, 82, 50, 26, 12, 25, 47, 79, 119, 104, 69, 103, 110, 72, 109, 98, 64, 38, 20)(16, 28, 48, 76, 112, 136, 135, 144, 128, 88, 124, 141, 132, 93, 60, 35, 53, 81, 117, 139, 130, 91, 58, 33)(17, 29, 49, 77, 113, 137, 129, 90, 57, 32, 52, 80, 116, 138, 134, 95, 125, 142, 127, 143, 131, 92, 59, 34)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 35)(19, 33)(20, 34)(22, 41)(23, 44)(25, 48)(26, 49)(27, 52)(30, 53)(31, 56)(36, 61)(37, 57)(38, 60)(39, 58)(40, 59)(42, 69)(43, 72)(45, 76)(46, 77)(47, 80)(50, 81)(51, 84)(54, 85)(55, 88)(62, 95)(63, 89)(64, 94)(65, 90)(66, 93)(67, 91)(68, 92)(70, 105)(71, 108)(73, 112)(74, 113)(75, 116)(78, 117)(79, 120)(82, 121)(83, 124)(86, 125)(87, 127)(96, 135)(97, 128)(98, 134)(99, 107)(100, 133)(101, 129)(102, 132)(103, 130)(104, 131)(106, 118)(109, 136)(110, 137)(111, 138)(114, 139)(115, 140)(119, 141)(122, 142)(123, 143)(126, 144)
	local type(s) :: { ( 12^24 ) }
Outer automorphisms :: reflexible
Dual of E28.2622
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 6 e = 72 f = 12
	degree seq :: [ 24^6 ]

E28.2621 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 12, 24})
Quotient :: regular
Aut^+ = (C3 x (C3 : Q8)) : C2 (small group id <144, 60>)
Aut   = $<288, 442>$ (small group id <288, 442>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^2)^2, T1^-7 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2, T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2, T1^24 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 32, 47, 65, 86, 110, 129, 139, 144, 143, 138, 128, 109, 85, 64, 46, 31, 19, 10, 4)(3, 7, 15, 25, 39, 55, 75, 97, 123, 134, 142, 132, 141, 133, 140, 131, 111, 88, 66, 49, 33, 22, 12, 8)(6, 13, 9, 18, 29, 44, 61, 82, 105, 127, 137, 126, 136, 124, 135, 125, 130, 112, 87, 67, 48, 34, 21, 14)(16, 26, 17, 28, 35, 51, 68, 90, 113, 108, 121, 95, 119, 93, 118, 94, 120, 96, 122, 98, 76, 56, 40, 27)(23, 36, 24, 38, 50, 69, 89, 114, 103, 80, 101, 78, 100, 79, 102, 81, 104, 117, 106, 83, 62, 45, 30, 37)(41, 57, 42, 59, 77, 99, 116, 91, 74, 54, 72, 52, 71, 53, 73, 63, 84, 107, 115, 92, 70, 60, 43, 58)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 21)(13, 23)(14, 24)(18, 30)(19, 29)(20, 33)(22, 35)(25, 40)(26, 41)(27, 42)(28, 43)(31, 39)(32, 48)(34, 50)(36, 52)(37, 53)(38, 54)(44, 62)(45, 63)(46, 61)(47, 66)(49, 68)(51, 70)(55, 76)(56, 77)(57, 78)(58, 79)(59, 80)(60, 81)(64, 75)(65, 87)(67, 89)(69, 91)(71, 93)(72, 94)(73, 95)(74, 96)(82, 106)(83, 107)(84, 108)(85, 105)(86, 111)(88, 113)(90, 115)(92, 117)(97, 122)(98, 116)(99, 114)(100, 124)(101, 125)(102, 126)(103, 112)(104, 127)(109, 123)(110, 130)(118, 132)(119, 133)(120, 134)(121, 131)(128, 137)(129, 140)(135, 139)(136, 143)(138, 142)(141, 144)
	local type(s) :: { ( 12^24 ) }
Outer automorphisms :: reflexible
Dual of E28.2623
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 6 e = 72 f = 12
	degree seq :: [ 24^6 ]

E28.2622 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 12, 24})
Quotient :: regular
Aut^+ = C3 x (C24 : C2) (small group id <144, 71>)
Aut   = $<288, 442>$ (small group id <288, 442>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-2 * T2 * T1^2 * T2, T2 * T1^-4 * T2 * T1^4, T1^12, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 32, 47, 46, 31, 19, 10, 4)(3, 7, 12, 22, 33, 49, 64, 60, 43, 28, 17, 8)(6, 13, 21, 34, 48, 65, 63, 45, 30, 18, 9, 14)(15, 25, 35, 51, 66, 82, 78, 59, 42, 27, 16, 26)(23, 36, 50, 67, 81, 80, 62, 44, 29, 38, 24, 37)(39, 55, 68, 84, 97, 94, 77, 58, 41, 57, 40, 56)(52, 69, 83, 98, 96, 79, 61, 72, 54, 71, 53, 70)(73, 89, 99, 113, 110, 93, 76, 92, 75, 91, 74, 90)(85, 100, 112, 111, 95, 104, 88, 103, 87, 102, 86, 101)(105, 119, 126, 124, 109, 123, 108, 122, 107, 121, 106, 120)(114, 127, 125, 132, 118, 131, 117, 130, 116, 129, 115, 128)(133, 142, 138, 141, 137, 140, 136, 139, 135, 144, 134, 143)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 21)(13, 23)(14, 24)(18, 29)(19, 30)(20, 33)(22, 35)(25, 39)(26, 40)(27, 41)(28, 42)(31, 43)(32, 48)(34, 50)(36, 52)(37, 53)(38, 54)(44, 61)(45, 62)(46, 63)(47, 64)(49, 66)(51, 68)(55, 73)(56, 74)(57, 75)(58, 76)(59, 77)(60, 78)(65, 81)(67, 83)(69, 85)(70, 86)(71, 87)(72, 88)(79, 95)(80, 96)(82, 97)(84, 99)(89, 105)(90, 106)(91, 107)(92, 108)(93, 109)(94, 110)(98, 112)(100, 114)(101, 115)(102, 116)(103, 117)(104, 118)(111, 125)(113, 126)(119, 133)(120, 134)(121, 135)(122, 136)(123, 137)(124, 138)(127, 139)(128, 140)(129, 141)(130, 142)(131, 143)(132, 144)
	local type(s) :: { ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2620
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 12 e = 72 f = 6
	degree seq :: [ 12^12 ]

E28.2623 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 12, 24})
Quotient :: regular
Aut^+ = (C3 x (C3 : Q8)) : C2 (small group id <144, 60>)
Aut   = $<288, 442>$ (small group id <288, 442>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^2)^2, T1^12, T1 * T2 * T1^-1 * T2 * T1^6 * T2 * T1^-1 * T2 * T1^3, T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1^3 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 32, 47, 46, 31, 19, 10, 4)(3, 7, 15, 25, 39, 55, 64, 49, 33, 22, 12, 8)(6, 13, 9, 18, 29, 44, 61, 65, 48, 34, 21, 14)(16, 26, 17, 28, 35, 51, 66, 82, 73, 56, 40, 27)(23, 36, 24, 38, 50, 67, 81, 79, 62, 45, 30, 37)(41, 57, 42, 59, 74, 89, 97, 84, 68, 60, 43, 58)(52, 69, 53, 71, 63, 80, 95, 98, 83, 72, 54, 70)(75, 90, 76, 92, 78, 94, 99, 113, 105, 93, 77, 91)(85, 100, 86, 102, 88, 104, 112, 111, 96, 103, 87, 101)(106, 119, 107, 121, 109, 123, 126, 124, 110, 122, 108, 120)(114, 127, 115, 129, 117, 131, 125, 132, 118, 130, 116, 128)(133, 144, 134, 143, 136, 141, 138, 139, 137, 140, 135, 142)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 21)(13, 23)(14, 24)(18, 30)(19, 29)(20, 33)(22, 35)(25, 40)(26, 41)(27, 42)(28, 43)(31, 39)(32, 48)(34, 50)(36, 52)(37, 53)(38, 54)(44, 62)(45, 63)(46, 61)(47, 64)(49, 66)(51, 68)(55, 73)(56, 74)(57, 75)(58, 76)(59, 77)(60, 78)(65, 81)(67, 83)(69, 85)(70, 86)(71, 87)(72, 88)(79, 95)(80, 96)(82, 97)(84, 99)(89, 105)(90, 106)(91, 107)(92, 108)(93, 109)(94, 110)(98, 112)(100, 114)(101, 115)(102, 116)(103, 117)(104, 118)(111, 125)(113, 126)(119, 133)(120, 134)(121, 135)(122, 136)(123, 137)(124, 138)(127, 139)(128, 140)(129, 141)(130, 142)(131, 143)(132, 144)
	local type(s) :: { ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2621
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 12 e = 72 f = 6
	degree seq :: [ 12^12 ]

E28.2624 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 12, 24})
Quotient :: edge
Aut^+ = C3 x (C24 : C2) (small group id <144, 71>)
Aut   = $<288, 442>$ (small group id <288, 442>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^2 * T1 * T2^-1, T2^12, T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1, (T2^-1 * T1)^24 ]
Map::
	R = (1, 3, 8, 17, 28, 43, 60, 46, 31, 19, 10, 4)(2, 5, 12, 22, 35, 51, 69, 54, 38, 24, 14, 6)(7, 15, 26, 41, 58, 77, 63, 45, 30, 18, 9, 16)(11, 20, 33, 49, 67, 85, 72, 53, 37, 23, 13, 21)(25, 39, 56, 75, 92, 80, 62, 44, 29, 42, 27, 40)(32, 47, 65, 83, 100, 88, 71, 52, 36, 50, 34, 48)(55, 73, 90, 107, 96, 79, 61, 78, 59, 76, 57, 74)(64, 81, 98, 114, 104, 87, 70, 86, 68, 84, 66, 82)(89, 105, 120, 111, 95, 110, 94, 109, 93, 108, 91, 106)(97, 112, 127, 118, 103, 117, 102, 116, 101, 115, 99, 113)(119, 133, 125, 138, 124, 137, 123, 136, 122, 135, 121, 134)(126, 139, 132, 144, 131, 143, 130, 142, 129, 141, 128, 140)(145, 146)(147, 151)(148, 153)(149, 155)(150, 157)(152, 156)(154, 158)(159, 169)(160, 171)(161, 170)(162, 173)(163, 174)(164, 176)(165, 178)(166, 177)(167, 180)(168, 181)(172, 179)(175, 182)(183, 199)(184, 201)(185, 200)(186, 203)(187, 202)(188, 205)(189, 206)(190, 207)(191, 208)(192, 210)(193, 209)(194, 212)(195, 211)(196, 214)(197, 215)(198, 216)(204, 213)(217, 233)(218, 235)(219, 234)(220, 237)(221, 236)(222, 238)(223, 239)(224, 240)(225, 241)(226, 243)(227, 242)(228, 245)(229, 244)(230, 246)(231, 247)(232, 248)(249, 263)(250, 265)(251, 264)(252, 266)(253, 267)(254, 268)(255, 269)(256, 270)(257, 272)(258, 271)(259, 273)(260, 274)(261, 275)(262, 276)(277, 286)(278, 287)(279, 288)(280, 283)(281, 284)(282, 285)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 48, 48 ), ( 48^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2632
Transitivity :: ET+
Graph:: simple bipartite
	v = 84 e = 144 f = 6
	degree seq :: [ 2^72, 12^12 ]

E28.2625 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 12, 24})
Quotient :: edge
Aut^+ = (C3 x (C3 : Q8)) : C2 (small group id <144, 60>)
Aut   = $<288, 442>$ (small group id <288, 442>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, (T2^-1 * T1 * T2^-1)^2, T2^12, T2^12, T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1, (T2 * T1)^24 ]
Map::
	R = (1, 3, 8, 17, 28, 43, 60, 46, 31, 19, 10, 4)(2, 5, 12, 22, 35, 51, 69, 54, 38, 24, 14, 6)(7, 15, 9, 18, 30, 45, 63, 78, 59, 42, 27, 16)(11, 20, 13, 23, 37, 53, 72, 86, 68, 50, 34, 21)(25, 39, 26, 41, 58, 77, 94, 80, 62, 44, 29, 40)(32, 47, 33, 49, 67, 85, 102, 88, 71, 52, 36, 48)(55, 73, 56, 75, 61, 79, 96, 110, 93, 76, 57, 74)(64, 81, 65, 83, 70, 87, 104, 117, 101, 84, 66, 82)(89, 105, 90, 107, 92, 109, 124, 111, 95, 108, 91, 106)(97, 112, 98, 114, 100, 116, 131, 118, 103, 115, 99, 113)(119, 133, 120, 135, 122, 137, 125, 138, 123, 136, 121, 134)(126, 139, 127, 141, 129, 143, 132, 144, 130, 142, 128, 140)(145, 146)(147, 151)(148, 153)(149, 155)(150, 157)(152, 158)(154, 156)(159, 169)(160, 170)(161, 171)(162, 173)(163, 174)(164, 176)(165, 177)(166, 178)(167, 180)(168, 181)(172, 182)(175, 179)(183, 199)(184, 200)(185, 201)(186, 202)(187, 203)(188, 205)(189, 206)(190, 207)(191, 208)(192, 209)(193, 210)(194, 211)(195, 212)(196, 214)(197, 215)(198, 216)(204, 213)(217, 233)(218, 234)(219, 235)(220, 236)(221, 237)(222, 238)(223, 239)(224, 240)(225, 241)(226, 242)(227, 243)(228, 244)(229, 245)(230, 246)(231, 247)(232, 248)(249, 263)(250, 264)(251, 265)(252, 266)(253, 267)(254, 268)(255, 269)(256, 270)(257, 271)(258, 272)(259, 273)(260, 274)(261, 275)(262, 276)(277, 288)(278, 286)(279, 287)(280, 284)(281, 285)(282, 283)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 48, 48 ), ( 48^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2633
Transitivity :: ET+
Graph:: simple bipartite
	v = 84 e = 144 f = 6
	degree seq :: [ 2^72, 12^12 ]

E28.2626 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 12, 24})
Quotient :: edge
Aut^+ = C3 x (C24 : C2) (small group id <144, 71>)
Aut   = $<288, 442>$ (small group id <288, 442>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T1)^2, (F * T2)^2, T2^-1 * T1^-3 * T2^-1 * T1, T2^-1 * T1 * T2^-2 * T1^-1 * T2 * T1^-1 * T2^2 * T1, T1^-2 * T2^2 * T1^-3 * T2^2 * T1^-3, T2^2 * T1^-1 * T2^-10 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 48, 79, 118, 129, 105, 70, 55, 86, 94, 62, 43, 72, 109, 133, 124, 93, 59, 33, 15, 5)(2, 7, 19, 40, 69, 106, 131, 115, 77, 47, 26, 50, 83, 96, 65, 58, 91, 122, 136, 112, 74, 44, 22, 8)(4, 12, 29, 54, 87, 119, 139, 116, 78, 49, 81, 95, 60, 37, 32, 57, 90, 121, 137, 113, 75, 45, 23, 9)(6, 17, 36, 64, 100, 125, 141, 128, 104, 68, 41, 30, 53, 84, 98, 73, 110, 134, 142, 126, 102, 66, 38, 18)(11, 27, 52, 85, 101, 92, 123, 140, 117, 80, 99, 63, 35, 16, 14, 31, 56, 89, 120, 138, 114, 76, 46, 24)(13, 28, 51, 82, 111, 135, 144, 130, 107, 88, 97, 61, 34, 21, 42, 71, 108, 132, 143, 127, 103, 67, 39, 20)(145, 146, 150, 160, 178, 204, 238, 227, 197, 171, 157, 148)(147, 153, 161, 152, 165, 179, 206, 239, 228, 194, 172, 155)(149, 158, 162, 181, 205, 240, 230, 196, 174, 156, 164, 151)(154, 168, 180, 167, 186, 166, 187, 207, 242, 225, 195, 170)(159, 176, 182, 209, 241, 229, 199, 173, 185, 163, 183, 175)(169, 191, 208, 190, 215, 189, 216, 188, 217, 243, 226, 193)(177, 202, 210, 245, 232, 198, 214, 184, 212, 200, 211, 201)(192, 222, 244, 221, 252, 220, 253, 219, 254, 218, 255, 224)(203, 236, 246, 231, 251, 213, 249, 233, 248, 234, 247, 235)(223, 261, 269, 260, 276, 259, 277, 258, 278, 257, 279, 256)(237, 263, 270, 250, 274, 264, 273, 265, 272, 266, 271, 267)(262, 280, 285, 284, 287, 283, 268, 275, 286, 282, 288, 281)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4^12 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E28.2634
Transitivity :: ET+
Graph:: bipartite
	v = 18 e = 144 f = 72
	degree seq :: [ 12^12, 24^6 ]

E28.2627 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 12, 24})
Quotient :: edge
Aut^+ = (C3 x (C3 : Q8)) : C2 (small group id <144, 60>)
Aut   = $<288, 442>$ (small group id <288, 442>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2^-1 * T1^-1)^2, (T2 * T1^-1)^2, T1^12, T1^-1 * T2^-1 * T1^3 * T2^11 * T1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 21, 36, 55, 78, 102, 126, 134, 110, 86, 62, 85, 109, 133, 132, 108, 84, 61, 41, 25, 13, 5)(2, 7, 17, 31, 49, 71, 95, 119, 143, 121, 97, 73, 60, 79, 103, 127, 144, 120, 96, 72, 50, 32, 18, 8)(4, 11, 23, 39, 59, 83, 107, 131, 136, 112, 88, 64, 42, 63, 87, 111, 135, 125, 101, 77, 54, 35, 20, 9)(6, 15, 29, 47, 69, 93, 117, 141, 128, 104, 80, 56, 40, 51, 74, 98, 122, 142, 118, 94, 70, 48, 30, 16)(12, 19, 34, 53, 76, 100, 124, 138, 114, 90, 66, 44, 26, 43, 65, 89, 113, 137, 130, 106, 82, 58, 38, 22)(14, 27, 45, 67, 91, 115, 139, 123, 99, 75, 52, 33, 24, 37, 57, 81, 105, 129, 140, 116, 92, 68, 46, 28)(145, 146, 150, 158, 170, 186, 206, 204, 184, 168, 156, 148)(147, 153, 163, 177, 195, 217, 229, 208, 187, 172, 159, 152)(149, 155, 166, 181, 200, 223, 230, 207, 188, 171, 160, 151)(154, 162, 173, 190, 209, 232, 253, 241, 218, 196, 178, 164)(157, 161, 174, 189, 210, 231, 254, 247, 224, 201, 182, 167)(165, 179, 197, 219, 242, 265, 277, 256, 233, 212, 191, 176)(169, 183, 202, 225, 248, 271, 278, 255, 234, 211, 192, 175)(180, 194, 213, 236, 257, 280, 276, 287, 266, 243, 220, 198)(185, 193, 214, 235, 258, 279, 270, 288, 272, 249, 226, 203)(199, 221, 244, 267, 286, 263, 252, 275, 281, 260, 237, 216)(205, 227, 250, 273, 285, 264, 246, 269, 282, 259, 238, 215)(222, 240, 261, 284, 274, 251, 228, 239, 262, 283, 268, 245)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4^12 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E28.2635
Transitivity :: ET+
Graph:: bipartite
	v = 18 e = 144 f = 72
	degree seq :: [ 12^12, 24^6 ]

E28.2628 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 12, 24})
Quotient :: edge
Aut^+ = C3 x (C24 : C2) (small group id <144, 71>)
Aut   = $<288, 442>$ (small group id <288, 442>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1^-2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 * T2, T1^-7 * T2 * T1^3 * T2 * T1^-2, (T2 * T1^-6)^2 ]
Map::
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 35)(19, 33)(20, 34)(22, 41)(23, 44)(25, 48)(26, 49)(27, 52)(30, 53)(31, 56)(36, 61)(37, 57)(38, 60)(39, 58)(40, 59)(42, 69)(43, 72)(45, 76)(46, 77)(47, 80)(50, 81)(51, 84)(54, 85)(55, 88)(62, 95)(63, 89)(64, 94)(65, 90)(66, 93)(67, 91)(68, 92)(70, 105)(71, 108)(73, 112)(74, 113)(75, 116)(78, 117)(79, 120)(82, 121)(83, 124)(86, 125)(87, 127)(96, 135)(97, 128)(98, 134)(99, 107)(100, 133)(101, 129)(102, 132)(103, 130)(104, 131)(106, 118)(109, 136)(110, 137)(111, 138)(114, 139)(115, 140)(119, 141)(122, 142)(123, 143)(126, 144)(145, 146, 149, 155, 167, 187, 215, 251, 233, 200, 228, 264, 284, 277, 238, 205, 229, 265, 250, 214, 186, 166, 154, 148)(147, 151, 159, 175, 199, 231, 262, 222, 190, 168, 189, 219, 259, 246, 212, 185, 211, 245, 252, 240, 206, 180, 162, 152)(150, 157, 171, 195, 227, 267, 249, 258, 218, 188, 217, 255, 244, 210, 184, 165, 183, 209, 243, 270, 230, 198, 174, 158)(153, 163, 181, 207, 241, 266, 226, 194, 170, 156, 169, 191, 223, 263, 248, 213, 247, 254, 216, 253, 242, 208, 182, 164)(160, 172, 192, 220, 256, 280, 279, 288, 272, 232, 268, 285, 276, 237, 204, 179, 197, 225, 261, 283, 274, 235, 202, 177)(161, 173, 193, 221, 257, 281, 273, 234, 201, 176, 196, 224, 260, 282, 278, 239, 269, 286, 271, 287, 275, 236, 203, 178)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 24, 24 ), ( 24^24 ) }
Outer automorphisms :: reflexible
Dual of E28.2630
Transitivity :: ET+
Graph:: simple bipartite
	v = 78 e = 144 f = 12
	degree seq :: [ 2^72, 24^6 ]

E28.2629 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 12, 24})
Quotient :: edge
Aut^+ = (C3 x (C3 : Q8)) : C2 (small group id <144, 60>)
Aut   = $<288, 442>$ (small group id <288, 442>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^2)^2, T1^-7 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1, T1^24 ]
Map::
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 21)(13, 23)(14, 24)(18, 30)(19, 29)(20, 33)(22, 35)(25, 40)(26, 41)(27, 42)(28, 43)(31, 39)(32, 48)(34, 50)(36, 52)(37, 53)(38, 54)(44, 62)(45, 63)(46, 61)(47, 66)(49, 68)(51, 70)(55, 76)(56, 77)(57, 78)(58, 79)(59, 80)(60, 81)(64, 75)(65, 87)(67, 89)(69, 91)(71, 93)(72, 94)(73, 95)(74, 96)(82, 106)(83, 107)(84, 108)(85, 105)(86, 111)(88, 113)(90, 115)(92, 117)(97, 122)(98, 116)(99, 114)(100, 124)(101, 125)(102, 126)(103, 112)(104, 127)(109, 123)(110, 130)(118, 132)(119, 133)(120, 134)(121, 131)(128, 137)(129, 140)(135, 139)(136, 143)(138, 142)(141, 144)(145, 146, 149, 155, 164, 176, 191, 209, 230, 254, 273, 283, 288, 287, 282, 272, 253, 229, 208, 190, 175, 163, 154, 148)(147, 151, 159, 169, 183, 199, 219, 241, 267, 278, 286, 276, 285, 277, 284, 275, 255, 232, 210, 193, 177, 166, 156, 152)(150, 157, 153, 162, 173, 188, 205, 226, 249, 271, 281, 270, 280, 268, 279, 269, 274, 256, 231, 211, 192, 178, 165, 158)(160, 170, 161, 172, 179, 195, 212, 234, 257, 252, 265, 239, 263, 237, 262, 238, 264, 240, 266, 242, 220, 200, 184, 171)(167, 180, 168, 182, 194, 213, 233, 258, 247, 224, 245, 222, 244, 223, 246, 225, 248, 261, 250, 227, 206, 189, 174, 181)(185, 201, 186, 203, 221, 243, 260, 235, 218, 198, 216, 196, 215, 197, 217, 207, 228, 251, 259, 236, 214, 204, 187, 202)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 24, 24 ), ( 24^24 ) }
Outer automorphisms :: reflexible
Dual of E28.2631
Transitivity :: ET+
Graph:: simple bipartite
	v = 78 e = 144 f = 12
	degree seq :: [ 2^72, 24^6 ]

E28.2630 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 12, 24})
Quotient :: loop
Aut^+ = C3 x (C24 : C2) (small group id <144, 71>)
Aut   = $<288, 442>$ (small group id <288, 442>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^2 * T1 * T2^-1, T2^12, T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1, (T2^-1 * T1)^24 ]
Map::
	R = (1, 145, 3, 147, 8, 152, 17, 161, 28, 172, 43, 187, 60, 204, 46, 190, 31, 175, 19, 163, 10, 154, 4, 148)(2, 146, 5, 149, 12, 156, 22, 166, 35, 179, 51, 195, 69, 213, 54, 198, 38, 182, 24, 168, 14, 158, 6, 150)(7, 151, 15, 159, 26, 170, 41, 185, 58, 202, 77, 221, 63, 207, 45, 189, 30, 174, 18, 162, 9, 153, 16, 160)(11, 155, 20, 164, 33, 177, 49, 193, 67, 211, 85, 229, 72, 216, 53, 197, 37, 181, 23, 167, 13, 157, 21, 165)(25, 169, 39, 183, 56, 200, 75, 219, 92, 236, 80, 224, 62, 206, 44, 188, 29, 173, 42, 186, 27, 171, 40, 184)(32, 176, 47, 191, 65, 209, 83, 227, 100, 244, 88, 232, 71, 215, 52, 196, 36, 180, 50, 194, 34, 178, 48, 192)(55, 199, 73, 217, 90, 234, 107, 251, 96, 240, 79, 223, 61, 205, 78, 222, 59, 203, 76, 220, 57, 201, 74, 218)(64, 208, 81, 225, 98, 242, 114, 258, 104, 248, 87, 231, 70, 214, 86, 230, 68, 212, 84, 228, 66, 210, 82, 226)(89, 233, 105, 249, 120, 264, 111, 255, 95, 239, 110, 254, 94, 238, 109, 253, 93, 237, 108, 252, 91, 235, 106, 250)(97, 241, 112, 256, 127, 271, 118, 262, 103, 247, 117, 261, 102, 246, 116, 260, 101, 245, 115, 259, 99, 243, 113, 257)(119, 263, 133, 277, 125, 269, 138, 282, 124, 268, 137, 281, 123, 267, 136, 280, 122, 266, 135, 279, 121, 265, 134, 278)(126, 270, 139, 283, 132, 276, 144, 288, 131, 275, 143, 287, 130, 274, 142, 286, 129, 273, 141, 285, 128, 272, 140, 284)
	L = (1, 146)(2, 145)(3, 151)(4, 153)(5, 155)(6, 157)(7, 147)(8, 156)(9, 148)(10, 158)(11, 149)(12, 152)(13, 150)(14, 154)(15, 169)(16, 171)(17, 170)(18, 173)(19, 174)(20, 176)(21, 178)(22, 177)(23, 180)(24, 181)(25, 159)(26, 161)(27, 160)(28, 179)(29, 162)(30, 163)(31, 182)(32, 164)(33, 166)(34, 165)(35, 172)(36, 167)(37, 168)(38, 175)(39, 199)(40, 201)(41, 200)(42, 203)(43, 202)(44, 205)(45, 206)(46, 207)(47, 208)(48, 210)(49, 209)(50, 212)(51, 211)(52, 214)(53, 215)(54, 216)(55, 183)(56, 185)(57, 184)(58, 187)(59, 186)(60, 213)(61, 188)(62, 189)(63, 190)(64, 191)(65, 193)(66, 192)(67, 195)(68, 194)(69, 204)(70, 196)(71, 197)(72, 198)(73, 233)(74, 235)(75, 234)(76, 237)(77, 236)(78, 238)(79, 239)(80, 240)(81, 241)(82, 243)(83, 242)(84, 245)(85, 244)(86, 246)(87, 247)(88, 248)(89, 217)(90, 219)(91, 218)(92, 221)(93, 220)(94, 222)(95, 223)(96, 224)(97, 225)(98, 227)(99, 226)(100, 229)(101, 228)(102, 230)(103, 231)(104, 232)(105, 263)(106, 265)(107, 264)(108, 266)(109, 267)(110, 268)(111, 269)(112, 270)(113, 272)(114, 271)(115, 273)(116, 274)(117, 275)(118, 276)(119, 249)(120, 251)(121, 250)(122, 252)(123, 253)(124, 254)(125, 255)(126, 256)(127, 258)(128, 257)(129, 259)(130, 260)(131, 261)(132, 262)(133, 286)(134, 287)(135, 288)(136, 283)(137, 284)(138, 285)(139, 280)(140, 281)(141, 282)(142, 277)(143, 278)(144, 279)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.2628
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 12 e = 144 f = 78
	degree seq :: [ 24^12 ]

E28.2631 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 12, 24})
Quotient :: loop
Aut^+ = (C3 x (C3 : Q8)) : C2 (small group id <144, 60>)
Aut   = $<288, 442>$ (small group id <288, 442>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, (T2^-1 * T1 * T2^-1)^2, T2^12, T2^12, T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1, (T2 * T1)^24 ]
Map::
	R = (1, 145, 3, 147, 8, 152, 17, 161, 28, 172, 43, 187, 60, 204, 46, 190, 31, 175, 19, 163, 10, 154, 4, 148)(2, 146, 5, 149, 12, 156, 22, 166, 35, 179, 51, 195, 69, 213, 54, 198, 38, 182, 24, 168, 14, 158, 6, 150)(7, 151, 15, 159, 9, 153, 18, 162, 30, 174, 45, 189, 63, 207, 78, 222, 59, 203, 42, 186, 27, 171, 16, 160)(11, 155, 20, 164, 13, 157, 23, 167, 37, 181, 53, 197, 72, 216, 86, 230, 68, 212, 50, 194, 34, 178, 21, 165)(25, 169, 39, 183, 26, 170, 41, 185, 58, 202, 77, 221, 94, 238, 80, 224, 62, 206, 44, 188, 29, 173, 40, 184)(32, 176, 47, 191, 33, 177, 49, 193, 67, 211, 85, 229, 102, 246, 88, 232, 71, 215, 52, 196, 36, 180, 48, 192)(55, 199, 73, 217, 56, 200, 75, 219, 61, 205, 79, 223, 96, 240, 110, 254, 93, 237, 76, 220, 57, 201, 74, 218)(64, 208, 81, 225, 65, 209, 83, 227, 70, 214, 87, 231, 104, 248, 117, 261, 101, 245, 84, 228, 66, 210, 82, 226)(89, 233, 105, 249, 90, 234, 107, 251, 92, 236, 109, 253, 124, 268, 111, 255, 95, 239, 108, 252, 91, 235, 106, 250)(97, 241, 112, 256, 98, 242, 114, 258, 100, 244, 116, 260, 131, 275, 118, 262, 103, 247, 115, 259, 99, 243, 113, 257)(119, 263, 133, 277, 120, 264, 135, 279, 122, 266, 137, 281, 125, 269, 138, 282, 123, 267, 136, 280, 121, 265, 134, 278)(126, 270, 139, 283, 127, 271, 141, 285, 129, 273, 143, 287, 132, 276, 144, 288, 130, 274, 142, 286, 128, 272, 140, 284)
	L = (1, 146)(2, 145)(3, 151)(4, 153)(5, 155)(6, 157)(7, 147)(8, 158)(9, 148)(10, 156)(11, 149)(12, 154)(13, 150)(14, 152)(15, 169)(16, 170)(17, 171)(18, 173)(19, 174)(20, 176)(21, 177)(22, 178)(23, 180)(24, 181)(25, 159)(26, 160)(27, 161)(28, 182)(29, 162)(30, 163)(31, 179)(32, 164)(33, 165)(34, 166)(35, 175)(36, 167)(37, 168)(38, 172)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 205)(45, 206)(46, 207)(47, 208)(48, 209)(49, 210)(50, 211)(51, 212)(52, 214)(53, 215)(54, 216)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 213)(61, 188)(62, 189)(63, 190)(64, 191)(65, 192)(66, 193)(67, 194)(68, 195)(69, 204)(70, 196)(71, 197)(72, 198)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 263)(106, 264)(107, 265)(108, 266)(109, 267)(110, 268)(111, 269)(112, 270)(113, 271)(114, 272)(115, 273)(116, 274)(117, 275)(118, 276)(119, 249)(120, 250)(121, 251)(122, 252)(123, 253)(124, 254)(125, 255)(126, 256)(127, 257)(128, 258)(129, 259)(130, 260)(131, 261)(132, 262)(133, 288)(134, 286)(135, 287)(136, 284)(137, 285)(138, 283)(139, 282)(140, 280)(141, 281)(142, 278)(143, 279)(144, 277)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.2629
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 12 e = 144 f = 78
	degree seq :: [ 24^12 ]

E28.2632 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 12, 24})
Quotient :: loop
Aut^+ = C3 x (C24 : C2) (small group id <144, 71>)
Aut   = $<288, 442>$ (small group id <288, 442>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T1)^2, (F * T2)^2, T2^-1 * T1^-3 * T2^-1 * T1, T2^-1 * T1 * T2^-2 * T1^-1 * T2 * T1^-1 * T2^2 * T1, T1^-2 * T2^2 * T1^-3 * T2^2 * T1^-3, T2^2 * T1^-1 * T2^-10 * T1^-1 ]
Map::
	R = (1, 145, 3, 147, 10, 154, 25, 169, 48, 192, 79, 223, 118, 262, 129, 273, 105, 249, 70, 214, 55, 199, 86, 230, 94, 238, 62, 206, 43, 187, 72, 216, 109, 253, 133, 277, 124, 268, 93, 237, 59, 203, 33, 177, 15, 159, 5, 149)(2, 146, 7, 151, 19, 163, 40, 184, 69, 213, 106, 250, 131, 275, 115, 259, 77, 221, 47, 191, 26, 170, 50, 194, 83, 227, 96, 240, 65, 209, 58, 202, 91, 235, 122, 266, 136, 280, 112, 256, 74, 218, 44, 188, 22, 166, 8, 152)(4, 148, 12, 156, 29, 173, 54, 198, 87, 231, 119, 263, 139, 283, 116, 260, 78, 222, 49, 193, 81, 225, 95, 239, 60, 204, 37, 181, 32, 176, 57, 201, 90, 234, 121, 265, 137, 281, 113, 257, 75, 219, 45, 189, 23, 167, 9, 153)(6, 150, 17, 161, 36, 180, 64, 208, 100, 244, 125, 269, 141, 285, 128, 272, 104, 248, 68, 212, 41, 185, 30, 174, 53, 197, 84, 228, 98, 242, 73, 217, 110, 254, 134, 278, 142, 286, 126, 270, 102, 246, 66, 210, 38, 182, 18, 162)(11, 155, 27, 171, 52, 196, 85, 229, 101, 245, 92, 236, 123, 267, 140, 284, 117, 261, 80, 224, 99, 243, 63, 207, 35, 179, 16, 160, 14, 158, 31, 175, 56, 200, 89, 233, 120, 264, 138, 282, 114, 258, 76, 220, 46, 190, 24, 168)(13, 157, 28, 172, 51, 195, 82, 226, 111, 255, 135, 279, 144, 288, 130, 274, 107, 251, 88, 232, 97, 241, 61, 205, 34, 178, 21, 165, 42, 186, 71, 215, 108, 252, 132, 276, 143, 287, 127, 271, 103, 247, 67, 211, 39, 183, 20, 164)
	L = (1, 146)(2, 150)(3, 153)(4, 145)(5, 158)(6, 160)(7, 149)(8, 165)(9, 161)(10, 168)(11, 147)(12, 164)(13, 148)(14, 162)(15, 176)(16, 178)(17, 152)(18, 181)(19, 183)(20, 151)(21, 179)(22, 187)(23, 186)(24, 180)(25, 191)(26, 154)(27, 157)(28, 155)(29, 185)(30, 156)(31, 159)(32, 182)(33, 202)(34, 204)(35, 206)(36, 167)(37, 205)(38, 209)(39, 175)(40, 212)(41, 163)(42, 166)(43, 207)(44, 217)(45, 216)(46, 215)(47, 208)(48, 222)(49, 169)(50, 172)(51, 170)(52, 174)(53, 171)(54, 214)(55, 173)(56, 211)(57, 177)(58, 210)(59, 236)(60, 238)(61, 240)(62, 239)(63, 242)(64, 190)(65, 241)(66, 245)(67, 201)(68, 200)(69, 249)(70, 184)(71, 189)(72, 188)(73, 243)(74, 255)(75, 254)(76, 253)(77, 252)(78, 244)(79, 261)(80, 192)(81, 195)(82, 193)(83, 197)(84, 194)(85, 199)(86, 196)(87, 251)(88, 198)(89, 248)(90, 247)(91, 203)(92, 246)(93, 263)(94, 227)(95, 228)(96, 230)(97, 229)(98, 225)(99, 226)(100, 221)(101, 232)(102, 231)(103, 235)(104, 234)(105, 233)(106, 274)(107, 213)(108, 220)(109, 219)(110, 218)(111, 224)(112, 223)(113, 279)(114, 278)(115, 277)(116, 276)(117, 269)(118, 280)(119, 270)(120, 273)(121, 272)(122, 271)(123, 237)(124, 275)(125, 260)(126, 250)(127, 267)(128, 266)(129, 265)(130, 264)(131, 286)(132, 259)(133, 258)(134, 257)(135, 256)(136, 285)(137, 262)(138, 288)(139, 268)(140, 287)(141, 284)(142, 282)(143, 283)(144, 281)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2624
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 144 f = 84
	degree seq :: [ 48^6 ]

E28.2633 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 12, 24})
Quotient :: loop
Aut^+ = (C3 x (C3 : Q8)) : C2 (small group id <144, 60>)
Aut   = $<288, 442>$ (small group id <288, 442>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2^-1 * T1^-1)^2, (T2 * T1^-1)^2, T1^12, T1^-1 * T2^-1 * T1^3 * T2^11 * T1^-2 ]
Map::
	R = (1, 145, 3, 147, 10, 154, 21, 165, 36, 180, 55, 199, 78, 222, 102, 246, 126, 270, 134, 278, 110, 254, 86, 230, 62, 206, 85, 229, 109, 253, 133, 277, 132, 276, 108, 252, 84, 228, 61, 205, 41, 185, 25, 169, 13, 157, 5, 149)(2, 146, 7, 151, 17, 161, 31, 175, 49, 193, 71, 215, 95, 239, 119, 263, 143, 287, 121, 265, 97, 241, 73, 217, 60, 204, 79, 223, 103, 247, 127, 271, 144, 288, 120, 264, 96, 240, 72, 216, 50, 194, 32, 176, 18, 162, 8, 152)(4, 148, 11, 155, 23, 167, 39, 183, 59, 203, 83, 227, 107, 251, 131, 275, 136, 280, 112, 256, 88, 232, 64, 208, 42, 186, 63, 207, 87, 231, 111, 255, 135, 279, 125, 269, 101, 245, 77, 221, 54, 198, 35, 179, 20, 164, 9, 153)(6, 150, 15, 159, 29, 173, 47, 191, 69, 213, 93, 237, 117, 261, 141, 285, 128, 272, 104, 248, 80, 224, 56, 200, 40, 184, 51, 195, 74, 218, 98, 242, 122, 266, 142, 286, 118, 262, 94, 238, 70, 214, 48, 192, 30, 174, 16, 160)(12, 156, 19, 163, 34, 178, 53, 197, 76, 220, 100, 244, 124, 268, 138, 282, 114, 258, 90, 234, 66, 210, 44, 188, 26, 170, 43, 187, 65, 209, 89, 233, 113, 257, 137, 281, 130, 274, 106, 250, 82, 226, 58, 202, 38, 182, 22, 166)(14, 158, 27, 171, 45, 189, 67, 211, 91, 235, 115, 259, 139, 283, 123, 267, 99, 243, 75, 219, 52, 196, 33, 177, 24, 168, 37, 181, 57, 201, 81, 225, 105, 249, 129, 273, 140, 284, 116, 260, 92, 236, 68, 212, 46, 190, 28, 172)
	L = (1, 146)(2, 150)(3, 153)(4, 145)(5, 155)(6, 158)(7, 149)(8, 147)(9, 163)(10, 162)(11, 166)(12, 148)(13, 161)(14, 170)(15, 152)(16, 151)(17, 174)(18, 173)(19, 177)(20, 154)(21, 179)(22, 181)(23, 157)(24, 156)(25, 183)(26, 186)(27, 160)(28, 159)(29, 190)(30, 189)(31, 169)(32, 165)(33, 195)(34, 164)(35, 197)(36, 194)(37, 200)(38, 167)(39, 202)(40, 168)(41, 193)(42, 206)(43, 172)(44, 171)(45, 210)(46, 209)(47, 176)(48, 175)(49, 214)(50, 213)(51, 217)(52, 178)(53, 219)(54, 180)(55, 221)(56, 223)(57, 182)(58, 225)(59, 185)(60, 184)(61, 227)(62, 204)(63, 188)(64, 187)(65, 232)(66, 231)(67, 192)(68, 191)(69, 236)(70, 235)(71, 205)(72, 199)(73, 229)(74, 196)(75, 242)(76, 198)(77, 244)(78, 240)(79, 230)(80, 201)(81, 248)(82, 203)(83, 250)(84, 239)(85, 208)(86, 207)(87, 254)(88, 253)(89, 212)(90, 211)(91, 258)(92, 257)(93, 216)(94, 215)(95, 262)(96, 261)(97, 218)(98, 265)(99, 220)(100, 267)(101, 222)(102, 269)(103, 224)(104, 271)(105, 226)(106, 273)(107, 228)(108, 275)(109, 241)(110, 247)(111, 234)(112, 233)(113, 280)(114, 279)(115, 238)(116, 237)(117, 284)(118, 283)(119, 252)(120, 246)(121, 277)(122, 243)(123, 286)(124, 245)(125, 282)(126, 288)(127, 278)(128, 249)(129, 285)(130, 251)(131, 281)(132, 287)(133, 256)(134, 255)(135, 270)(136, 276)(137, 260)(138, 259)(139, 268)(140, 274)(141, 264)(142, 263)(143, 266)(144, 272)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2625
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 144 f = 84
	degree seq :: [ 48^6 ]

E28.2634 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 12, 24})
Quotient :: loop
Aut^+ = C3 x (C24 : C2) (small group id <144, 71>)
Aut   = $<288, 442>$ (small group id <288, 442>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1^-2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 * T2, T1^-7 * T2 * T1^3 * T2 * T1^-2, (T2 * T1^-6)^2 ]
Map:: polytopal non-degenerate
	R = (1, 145, 3, 147)(2, 146, 6, 150)(4, 148, 9, 153)(5, 149, 12, 156)(7, 151, 16, 160)(8, 152, 17, 161)(10, 154, 21, 165)(11, 155, 24, 168)(13, 157, 28, 172)(14, 158, 29, 173)(15, 159, 32, 176)(18, 162, 35, 179)(19, 163, 33, 177)(20, 164, 34, 178)(22, 166, 41, 185)(23, 167, 44, 188)(25, 169, 48, 192)(26, 170, 49, 193)(27, 171, 52, 196)(30, 174, 53, 197)(31, 175, 56, 200)(36, 180, 61, 205)(37, 181, 57, 201)(38, 182, 60, 204)(39, 183, 58, 202)(40, 184, 59, 203)(42, 186, 69, 213)(43, 187, 72, 216)(45, 189, 76, 220)(46, 190, 77, 221)(47, 191, 80, 224)(50, 194, 81, 225)(51, 195, 84, 228)(54, 198, 85, 229)(55, 199, 88, 232)(62, 206, 95, 239)(63, 207, 89, 233)(64, 208, 94, 238)(65, 209, 90, 234)(66, 210, 93, 237)(67, 211, 91, 235)(68, 212, 92, 236)(70, 214, 105, 249)(71, 215, 108, 252)(73, 217, 112, 256)(74, 218, 113, 257)(75, 219, 116, 260)(78, 222, 117, 261)(79, 223, 120, 264)(82, 226, 121, 265)(83, 227, 124, 268)(86, 230, 125, 269)(87, 231, 127, 271)(96, 240, 135, 279)(97, 241, 128, 272)(98, 242, 134, 278)(99, 243, 107, 251)(100, 244, 133, 277)(101, 245, 129, 273)(102, 246, 132, 276)(103, 247, 130, 274)(104, 248, 131, 275)(106, 250, 118, 262)(109, 253, 136, 280)(110, 254, 137, 281)(111, 255, 138, 282)(114, 258, 139, 283)(115, 259, 140, 284)(119, 263, 141, 285)(122, 266, 142, 286)(123, 267, 143, 287)(126, 270, 144, 288)
	L = (1, 146)(2, 149)(3, 151)(4, 145)(5, 155)(6, 157)(7, 159)(8, 147)(9, 163)(10, 148)(11, 167)(12, 169)(13, 171)(14, 150)(15, 175)(16, 172)(17, 173)(18, 152)(19, 181)(20, 153)(21, 183)(22, 154)(23, 187)(24, 189)(25, 191)(26, 156)(27, 195)(28, 192)(29, 193)(30, 158)(31, 199)(32, 196)(33, 160)(34, 161)(35, 197)(36, 162)(37, 207)(38, 164)(39, 209)(40, 165)(41, 211)(42, 166)(43, 215)(44, 217)(45, 219)(46, 168)(47, 223)(48, 220)(49, 221)(50, 170)(51, 227)(52, 224)(53, 225)(54, 174)(55, 231)(56, 228)(57, 176)(58, 177)(59, 178)(60, 179)(61, 229)(62, 180)(63, 241)(64, 182)(65, 243)(66, 184)(67, 245)(68, 185)(69, 247)(70, 186)(71, 251)(72, 253)(73, 255)(74, 188)(75, 259)(76, 256)(77, 257)(78, 190)(79, 263)(80, 260)(81, 261)(82, 194)(83, 267)(84, 264)(85, 265)(86, 198)(87, 262)(88, 268)(89, 200)(90, 201)(91, 202)(92, 203)(93, 204)(94, 205)(95, 269)(96, 206)(97, 266)(98, 208)(99, 270)(100, 210)(101, 252)(102, 212)(103, 254)(104, 213)(105, 258)(106, 214)(107, 233)(108, 240)(109, 242)(110, 216)(111, 244)(112, 280)(113, 281)(114, 218)(115, 246)(116, 282)(117, 283)(118, 222)(119, 248)(120, 284)(121, 250)(122, 226)(123, 249)(124, 285)(125, 286)(126, 230)(127, 287)(128, 232)(129, 234)(130, 235)(131, 236)(132, 237)(133, 238)(134, 239)(135, 288)(136, 279)(137, 273)(138, 278)(139, 274)(140, 277)(141, 276)(142, 271)(143, 275)(144, 272)
	local type(s) :: { ( 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.2626
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 72 e = 144 f = 18
	degree seq :: [ 4^72 ]

E28.2635 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 12, 24})
Quotient :: loop
Aut^+ = (C3 x (C3 : Q8)) : C2 (small group id <144, 60>)
Aut   = $<288, 442>$ (small group id <288, 442>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^2)^2, T1^-7 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1, T1^24 ]
Map:: polytopal non-degenerate
	R = (1, 145, 3, 147)(2, 146, 6, 150)(4, 148, 9, 153)(5, 149, 12, 156)(7, 151, 16, 160)(8, 152, 17, 161)(10, 154, 15, 159)(11, 155, 21, 165)(13, 157, 23, 167)(14, 158, 24, 168)(18, 162, 30, 174)(19, 163, 29, 173)(20, 164, 33, 177)(22, 166, 35, 179)(25, 169, 40, 184)(26, 170, 41, 185)(27, 171, 42, 186)(28, 172, 43, 187)(31, 175, 39, 183)(32, 176, 48, 192)(34, 178, 50, 194)(36, 180, 52, 196)(37, 181, 53, 197)(38, 182, 54, 198)(44, 188, 62, 206)(45, 189, 63, 207)(46, 190, 61, 205)(47, 191, 66, 210)(49, 193, 68, 212)(51, 195, 70, 214)(55, 199, 76, 220)(56, 200, 77, 221)(57, 201, 78, 222)(58, 202, 79, 223)(59, 203, 80, 224)(60, 204, 81, 225)(64, 208, 75, 219)(65, 209, 87, 231)(67, 211, 89, 233)(69, 213, 91, 235)(71, 215, 93, 237)(72, 216, 94, 238)(73, 217, 95, 239)(74, 218, 96, 240)(82, 226, 106, 250)(83, 227, 107, 251)(84, 228, 108, 252)(85, 229, 105, 249)(86, 230, 111, 255)(88, 232, 113, 257)(90, 234, 115, 259)(92, 236, 117, 261)(97, 241, 122, 266)(98, 242, 116, 260)(99, 243, 114, 258)(100, 244, 124, 268)(101, 245, 125, 269)(102, 246, 126, 270)(103, 247, 112, 256)(104, 248, 127, 271)(109, 253, 123, 267)(110, 254, 130, 274)(118, 262, 132, 276)(119, 263, 133, 277)(120, 264, 134, 278)(121, 265, 131, 275)(128, 272, 137, 281)(129, 273, 140, 284)(135, 279, 139, 283)(136, 280, 143, 287)(138, 282, 142, 286)(141, 285, 144, 288)
	L = (1, 146)(2, 149)(3, 151)(4, 145)(5, 155)(6, 157)(7, 159)(8, 147)(9, 162)(10, 148)(11, 164)(12, 152)(13, 153)(14, 150)(15, 169)(16, 170)(17, 172)(18, 173)(19, 154)(20, 176)(21, 158)(22, 156)(23, 180)(24, 182)(25, 183)(26, 161)(27, 160)(28, 179)(29, 188)(30, 181)(31, 163)(32, 191)(33, 166)(34, 165)(35, 195)(36, 168)(37, 167)(38, 194)(39, 199)(40, 171)(41, 201)(42, 203)(43, 202)(44, 205)(45, 174)(46, 175)(47, 209)(48, 178)(49, 177)(50, 213)(51, 212)(52, 215)(53, 217)(54, 216)(55, 219)(56, 184)(57, 186)(58, 185)(59, 221)(60, 187)(61, 226)(62, 189)(63, 228)(64, 190)(65, 230)(66, 193)(67, 192)(68, 234)(69, 233)(70, 204)(71, 197)(72, 196)(73, 207)(74, 198)(75, 241)(76, 200)(77, 243)(78, 244)(79, 246)(80, 245)(81, 248)(82, 249)(83, 206)(84, 251)(85, 208)(86, 254)(87, 211)(88, 210)(89, 258)(90, 257)(91, 218)(92, 214)(93, 262)(94, 264)(95, 263)(96, 266)(97, 267)(98, 220)(99, 260)(100, 223)(101, 222)(102, 225)(103, 224)(104, 261)(105, 271)(106, 227)(107, 259)(108, 265)(109, 229)(110, 273)(111, 232)(112, 231)(113, 252)(114, 247)(115, 236)(116, 235)(117, 250)(118, 238)(119, 237)(120, 240)(121, 239)(122, 242)(123, 278)(124, 279)(125, 274)(126, 280)(127, 281)(128, 253)(129, 283)(130, 256)(131, 255)(132, 285)(133, 284)(134, 286)(135, 269)(136, 268)(137, 270)(138, 272)(139, 288)(140, 275)(141, 277)(142, 276)(143, 282)(144, 287)
	local type(s) :: { ( 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.2627
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 72 e = 144 f = 18
	degree seq :: [ 4^72 ]

E28.2636 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 24})
Quotient :: dipole
Aut^+ = C3 x (C24 : C2) (small group id <144, 71>)
Aut   = $<288, 442>$ (small group id <288, 442>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^2 * Y1 * Y2^-2 * Y1, (Y2^-1 * R * Y2^-1)^2, Y2^12, Y2^-3 * Y1 * Y2^-4 * Y1 * Y2^-5, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 145, 2, 146)(3, 147, 7, 151)(4, 148, 9, 153)(5, 149, 11, 155)(6, 150, 13, 157)(8, 152, 12, 156)(10, 154, 14, 158)(15, 159, 25, 169)(16, 160, 27, 171)(17, 161, 26, 170)(18, 162, 29, 173)(19, 163, 30, 174)(20, 164, 32, 176)(21, 165, 34, 178)(22, 166, 33, 177)(23, 167, 36, 180)(24, 168, 37, 181)(28, 172, 35, 179)(31, 175, 38, 182)(39, 183, 55, 199)(40, 184, 57, 201)(41, 185, 56, 200)(42, 186, 59, 203)(43, 187, 58, 202)(44, 188, 61, 205)(45, 189, 62, 206)(46, 190, 63, 207)(47, 191, 64, 208)(48, 192, 66, 210)(49, 193, 65, 209)(50, 194, 68, 212)(51, 195, 67, 211)(52, 196, 70, 214)(53, 197, 71, 215)(54, 198, 72, 216)(60, 204, 69, 213)(73, 217, 89, 233)(74, 218, 91, 235)(75, 219, 90, 234)(76, 220, 93, 237)(77, 221, 92, 236)(78, 222, 94, 238)(79, 223, 95, 239)(80, 224, 96, 240)(81, 225, 97, 241)(82, 226, 99, 243)(83, 227, 98, 242)(84, 228, 101, 245)(85, 229, 100, 244)(86, 230, 102, 246)(87, 231, 103, 247)(88, 232, 104, 248)(105, 249, 119, 263)(106, 250, 121, 265)(107, 251, 120, 264)(108, 252, 122, 266)(109, 253, 123, 267)(110, 254, 124, 268)(111, 255, 125, 269)(112, 256, 126, 270)(113, 257, 128, 272)(114, 258, 127, 271)(115, 259, 129, 273)(116, 260, 130, 274)(117, 261, 131, 275)(118, 262, 132, 276)(133, 277, 142, 286)(134, 278, 143, 287)(135, 279, 144, 288)(136, 280, 139, 283)(137, 281, 140, 284)(138, 282, 141, 285)(289, 433, 291, 435, 296, 440, 305, 449, 316, 460, 331, 475, 348, 492, 334, 478, 319, 463, 307, 451, 298, 442, 292, 436)(290, 434, 293, 437, 300, 444, 310, 454, 323, 467, 339, 483, 357, 501, 342, 486, 326, 470, 312, 456, 302, 446, 294, 438)(295, 439, 303, 447, 314, 458, 329, 473, 346, 490, 365, 509, 351, 495, 333, 477, 318, 462, 306, 450, 297, 441, 304, 448)(299, 443, 308, 452, 321, 465, 337, 481, 355, 499, 373, 517, 360, 504, 341, 485, 325, 469, 311, 455, 301, 445, 309, 453)(313, 457, 327, 471, 344, 488, 363, 507, 380, 524, 368, 512, 350, 494, 332, 476, 317, 461, 330, 474, 315, 459, 328, 472)(320, 464, 335, 479, 353, 497, 371, 515, 388, 532, 376, 520, 359, 503, 340, 484, 324, 468, 338, 482, 322, 466, 336, 480)(343, 487, 361, 505, 378, 522, 395, 539, 384, 528, 367, 511, 349, 493, 366, 510, 347, 491, 364, 508, 345, 489, 362, 506)(352, 496, 369, 513, 386, 530, 402, 546, 392, 536, 375, 519, 358, 502, 374, 518, 356, 500, 372, 516, 354, 498, 370, 514)(377, 521, 393, 537, 408, 552, 399, 543, 383, 527, 398, 542, 382, 526, 397, 541, 381, 525, 396, 540, 379, 523, 394, 538)(385, 529, 400, 544, 415, 559, 406, 550, 391, 535, 405, 549, 390, 534, 404, 548, 389, 533, 403, 547, 387, 531, 401, 545)(407, 551, 421, 565, 413, 557, 426, 570, 412, 556, 425, 569, 411, 555, 424, 568, 410, 554, 423, 567, 409, 553, 422, 566)(414, 558, 427, 571, 420, 564, 432, 576, 419, 563, 431, 575, 418, 562, 430, 574, 417, 561, 429, 573, 416, 560, 428, 572)
	L = (1, 290)(2, 289)(3, 295)(4, 297)(5, 299)(6, 301)(7, 291)(8, 300)(9, 292)(10, 302)(11, 293)(12, 296)(13, 294)(14, 298)(15, 313)(16, 315)(17, 314)(18, 317)(19, 318)(20, 320)(21, 322)(22, 321)(23, 324)(24, 325)(25, 303)(26, 305)(27, 304)(28, 323)(29, 306)(30, 307)(31, 326)(32, 308)(33, 310)(34, 309)(35, 316)(36, 311)(37, 312)(38, 319)(39, 343)(40, 345)(41, 344)(42, 347)(43, 346)(44, 349)(45, 350)(46, 351)(47, 352)(48, 354)(49, 353)(50, 356)(51, 355)(52, 358)(53, 359)(54, 360)(55, 327)(56, 329)(57, 328)(58, 331)(59, 330)(60, 357)(61, 332)(62, 333)(63, 334)(64, 335)(65, 337)(66, 336)(67, 339)(68, 338)(69, 348)(70, 340)(71, 341)(72, 342)(73, 377)(74, 379)(75, 378)(76, 381)(77, 380)(78, 382)(79, 383)(80, 384)(81, 385)(82, 387)(83, 386)(84, 389)(85, 388)(86, 390)(87, 391)(88, 392)(89, 361)(90, 363)(91, 362)(92, 365)(93, 364)(94, 366)(95, 367)(96, 368)(97, 369)(98, 371)(99, 370)(100, 373)(101, 372)(102, 374)(103, 375)(104, 376)(105, 407)(106, 409)(107, 408)(108, 410)(109, 411)(110, 412)(111, 413)(112, 414)(113, 416)(114, 415)(115, 417)(116, 418)(117, 419)(118, 420)(119, 393)(120, 395)(121, 394)(122, 396)(123, 397)(124, 398)(125, 399)(126, 400)(127, 402)(128, 401)(129, 403)(130, 404)(131, 405)(132, 406)(133, 430)(134, 431)(135, 432)(136, 427)(137, 428)(138, 429)(139, 424)(140, 425)(141, 426)(142, 421)(143, 422)(144, 423)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 2, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E28.2642
Graph:: bipartite
	v = 84 e = 288 f = 150
	degree seq :: [ 4^72, 24^12 ]

E28.2637 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 24})
Quotient :: dipole
Aut^+ = (C3 x (C3 : Q8)) : C2 (small group id <144, 60>)
Aut   = $<288, 442>$ (small group id <288, 442>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2^2 * Y1)^2, Y2^-1 * R * Y2^2 * R * Y2^-1, Y2^12, Y2^-3 * Y1 * Y2^4 * Y1 * Y2^-5, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 145, 2, 146)(3, 147, 7, 151)(4, 148, 9, 153)(5, 149, 11, 155)(6, 150, 13, 157)(8, 152, 14, 158)(10, 154, 12, 156)(15, 159, 25, 169)(16, 160, 26, 170)(17, 161, 27, 171)(18, 162, 29, 173)(19, 163, 30, 174)(20, 164, 32, 176)(21, 165, 33, 177)(22, 166, 34, 178)(23, 167, 36, 180)(24, 168, 37, 181)(28, 172, 38, 182)(31, 175, 35, 179)(39, 183, 55, 199)(40, 184, 56, 200)(41, 185, 57, 201)(42, 186, 58, 202)(43, 187, 59, 203)(44, 188, 61, 205)(45, 189, 62, 206)(46, 190, 63, 207)(47, 191, 64, 208)(48, 192, 65, 209)(49, 193, 66, 210)(50, 194, 67, 211)(51, 195, 68, 212)(52, 196, 70, 214)(53, 197, 71, 215)(54, 198, 72, 216)(60, 204, 69, 213)(73, 217, 89, 233)(74, 218, 90, 234)(75, 219, 91, 235)(76, 220, 92, 236)(77, 221, 93, 237)(78, 222, 94, 238)(79, 223, 95, 239)(80, 224, 96, 240)(81, 225, 97, 241)(82, 226, 98, 242)(83, 227, 99, 243)(84, 228, 100, 244)(85, 229, 101, 245)(86, 230, 102, 246)(87, 231, 103, 247)(88, 232, 104, 248)(105, 249, 119, 263)(106, 250, 120, 264)(107, 251, 121, 265)(108, 252, 122, 266)(109, 253, 123, 267)(110, 254, 124, 268)(111, 255, 125, 269)(112, 256, 126, 270)(113, 257, 127, 271)(114, 258, 128, 272)(115, 259, 129, 273)(116, 260, 130, 274)(117, 261, 131, 275)(118, 262, 132, 276)(133, 277, 144, 288)(134, 278, 142, 286)(135, 279, 143, 287)(136, 280, 140, 284)(137, 281, 141, 285)(138, 282, 139, 283)(289, 433, 291, 435, 296, 440, 305, 449, 316, 460, 331, 475, 348, 492, 334, 478, 319, 463, 307, 451, 298, 442, 292, 436)(290, 434, 293, 437, 300, 444, 310, 454, 323, 467, 339, 483, 357, 501, 342, 486, 326, 470, 312, 456, 302, 446, 294, 438)(295, 439, 303, 447, 297, 441, 306, 450, 318, 462, 333, 477, 351, 495, 366, 510, 347, 491, 330, 474, 315, 459, 304, 448)(299, 443, 308, 452, 301, 445, 311, 455, 325, 469, 341, 485, 360, 504, 374, 518, 356, 500, 338, 482, 322, 466, 309, 453)(313, 457, 327, 471, 314, 458, 329, 473, 346, 490, 365, 509, 382, 526, 368, 512, 350, 494, 332, 476, 317, 461, 328, 472)(320, 464, 335, 479, 321, 465, 337, 481, 355, 499, 373, 517, 390, 534, 376, 520, 359, 503, 340, 484, 324, 468, 336, 480)(343, 487, 361, 505, 344, 488, 363, 507, 349, 493, 367, 511, 384, 528, 398, 542, 381, 525, 364, 508, 345, 489, 362, 506)(352, 496, 369, 513, 353, 497, 371, 515, 358, 502, 375, 519, 392, 536, 405, 549, 389, 533, 372, 516, 354, 498, 370, 514)(377, 521, 393, 537, 378, 522, 395, 539, 380, 524, 397, 541, 412, 556, 399, 543, 383, 527, 396, 540, 379, 523, 394, 538)(385, 529, 400, 544, 386, 530, 402, 546, 388, 532, 404, 548, 419, 563, 406, 550, 391, 535, 403, 547, 387, 531, 401, 545)(407, 551, 421, 565, 408, 552, 423, 567, 410, 554, 425, 569, 413, 557, 426, 570, 411, 555, 424, 568, 409, 553, 422, 566)(414, 558, 427, 571, 415, 559, 429, 573, 417, 561, 431, 575, 420, 564, 432, 576, 418, 562, 430, 574, 416, 560, 428, 572)
	L = (1, 290)(2, 289)(3, 295)(4, 297)(5, 299)(6, 301)(7, 291)(8, 302)(9, 292)(10, 300)(11, 293)(12, 298)(13, 294)(14, 296)(15, 313)(16, 314)(17, 315)(18, 317)(19, 318)(20, 320)(21, 321)(22, 322)(23, 324)(24, 325)(25, 303)(26, 304)(27, 305)(28, 326)(29, 306)(30, 307)(31, 323)(32, 308)(33, 309)(34, 310)(35, 319)(36, 311)(37, 312)(38, 316)(39, 343)(40, 344)(41, 345)(42, 346)(43, 347)(44, 349)(45, 350)(46, 351)(47, 352)(48, 353)(49, 354)(50, 355)(51, 356)(52, 358)(53, 359)(54, 360)(55, 327)(56, 328)(57, 329)(58, 330)(59, 331)(60, 357)(61, 332)(62, 333)(63, 334)(64, 335)(65, 336)(66, 337)(67, 338)(68, 339)(69, 348)(70, 340)(71, 341)(72, 342)(73, 377)(74, 378)(75, 379)(76, 380)(77, 381)(78, 382)(79, 383)(80, 384)(81, 385)(82, 386)(83, 387)(84, 388)(85, 389)(86, 390)(87, 391)(88, 392)(89, 361)(90, 362)(91, 363)(92, 364)(93, 365)(94, 366)(95, 367)(96, 368)(97, 369)(98, 370)(99, 371)(100, 372)(101, 373)(102, 374)(103, 375)(104, 376)(105, 407)(106, 408)(107, 409)(108, 410)(109, 411)(110, 412)(111, 413)(112, 414)(113, 415)(114, 416)(115, 417)(116, 418)(117, 419)(118, 420)(119, 393)(120, 394)(121, 395)(122, 396)(123, 397)(124, 398)(125, 399)(126, 400)(127, 401)(128, 402)(129, 403)(130, 404)(131, 405)(132, 406)(133, 432)(134, 430)(135, 431)(136, 428)(137, 429)(138, 427)(139, 426)(140, 424)(141, 425)(142, 422)(143, 423)(144, 421)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 2, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E28.2643
Graph:: bipartite
	v = 84 e = 288 f = 150
	degree seq :: [ 4^72, 24^12 ]

E28.2638 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 24})
Quotient :: dipole
Aut^+ = C3 x (C24 : C2) (small group id <144, 71>)
Aut   = $<288, 442>$ (small group id <288, 442>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2^-1 * Y1^-1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, Y2 * Y1^2 * Y2^-1 * Y1^-2, Y1^-2 * Y2 * Y1^2 * Y2^-1, Y2^2 * Y1^5 * Y2^2 * Y1^-1, Y2^2 * Y1^-1 * Y2^3 * Y1^-3 * Y2 * Y1^-2, Y2 * Y1^-4 * Y2 * Y1^-3 * Y2^2 * Y1^-1, Y1^12, Y2^2 * Y1^-1 * Y2^-10 * Y1^-1 ]
Map::
	R = (1, 145, 2, 146, 6, 150, 16, 160, 34, 178, 60, 204, 94, 238, 83, 227, 53, 197, 27, 171, 13, 157, 4, 148)(3, 147, 9, 153, 17, 161, 8, 152, 21, 165, 35, 179, 62, 206, 95, 239, 84, 228, 50, 194, 28, 172, 11, 155)(5, 149, 14, 158, 18, 162, 37, 181, 61, 205, 96, 240, 86, 230, 52, 196, 30, 174, 12, 156, 20, 164, 7, 151)(10, 154, 24, 168, 36, 180, 23, 167, 42, 186, 22, 166, 43, 187, 63, 207, 98, 242, 81, 225, 51, 195, 26, 170)(15, 159, 32, 176, 38, 182, 65, 209, 97, 241, 85, 229, 55, 199, 29, 173, 41, 185, 19, 163, 39, 183, 31, 175)(25, 169, 47, 191, 64, 208, 46, 190, 71, 215, 45, 189, 72, 216, 44, 188, 73, 217, 99, 243, 82, 226, 49, 193)(33, 177, 58, 202, 66, 210, 101, 245, 88, 232, 54, 198, 70, 214, 40, 184, 68, 212, 56, 200, 67, 211, 57, 201)(48, 192, 78, 222, 100, 244, 77, 221, 108, 252, 76, 220, 109, 253, 75, 219, 110, 254, 74, 218, 111, 255, 80, 224)(59, 203, 92, 236, 102, 246, 87, 231, 107, 251, 69, 213, 105, 249, 89, 233, 104, 248, 90, 234, 103, 247, 91, 235)(79, 223, 117, 261, 125, 269, 116, 260, 132, 276, 115, 259, 133, 277, 114, 258, 134, 278, 113, 257, 135, 279, 112, 256)(93, 237, 119, 263, 126, 270, 106, 250, 130, 274, 120, 264, 129, 273, 121, 265, 128, 272, 122, 266, 127, 271, 123, 267)(118, 262, 136, 280, 141, 285, 140, 284, 143, 287, 139, 283, 124, 268, 131, 275, 142, 286, 138, 282, 144, 288, 137, 281)(289, 433, 291, 435, 298, 442, 313, 457, 336, 480, 367, 511, 406, 550, 417, 561, 393, 537, 358, 502, 343, 487, 374, 518, 382, 526, 350, 494, 331, 475, 360, 504, 397, 541, 421, 565, 412, 556, 381, 525, 347, 491, 321, 465, 303, 447, 293, 437)(290, 434, 295, 439, 307, 451, 328, 472, 357, 501, 394, 538, 419, 563, 403, 547, 365, 509, 335, 479, 314, 458, 338, 482, 371, 515, 384, 528, 353, 497, 346, 490, 379, 523, 410, 554, 424, 568, 400, 544, 362, 506, 332, 476, 310, 454, 296, 440)(292, 436, 300, 444, 317, 461, 342, 486, 375, 519, 407, 551, 427, 571, 404, 548, 366, 510, 337, 481, 369, 513, 383, 527, 348, 492, 325, 469, 320, 464, 345, 489, 378, 522, 409, 553, 425, 569, 401, 545, 363, 507, 333, 477, 311, 455, 297, 441)(294, 438, 305, 449, 324, 468, 352, 496, 388, 532, 413, 557, 429, 573, 416, 560, 392, 536, 356, 500, 329, 473, 318, 462, 341, 485, 372, 516, 386, 530, 361, 505, 398, 542, 422, 566, 430, 574, 414, 558, 390, 534, 354, 498, 326, 470, 306, 450)(299, 443, 315, 459, 340, 484, 373, 517, 389, 533, 380, 524, 411, 555, 428, 572, 405, 549, 368, 512, 387, 531, 351, 495, 323, 467, 304, 448, 302, 446, 319, 463, 344, 488, 377, 521, 408, 552, 426, 570, 402, 546, 364, 508, 334, 478, 312, 456)(301, 445, 316, 460, 339, 483, 370, 514, 399, 543, 423, 567, 432, 576, 418, 562, 395, 539, 376, 520, 385, 529, 349, 493, 322, 466, 309, 453, 330, 474, 359, 503, 396, 540, 420, 564, 431, 575, 415, 559, 391, 535, 355, 499, 327, 471, 308, 452)
	L = (1, 291)(2, 295)(3, 298)(4, 300)(5, 289)(6, 305)(7, 307)(8, 290)(9, 292)(10, 313)(11, 315)(12, 317)(13, 316)(14, 319)(15, 293)(16, 302)(17, 324)(18, 294)(19, 328)(20, 301)(21, 330)(22, 296)(23, 297)(24, 299)(25, 336)(26, 338)(27, 340)(28, 339)(29, 342)(30, 341)(31, 344)(32, 345)(33, 303)(34, 309)(35, 304)(36, 352)(37, 320)(38, 306)(39, 308)(40, 357)(41, 318)(42, 359)(43, 360)(44, 310)(45, 311)(46, 312)(47, 314)(48, 367)(49, 369)(50, 371)(51, 370)(52, 373)(53, 372)(54, 375)(55, 374)(56, 377)(57, 378)(58, 379)(59, 321)(60, 325)(61, 322)(62, 331)(63, 323)(64, 388)(65, 346)(66, 326)(67, 327)(68, 329)(69, 394)(70, 343)(71, 396)(72, 397)(73, 398)(74, 332)(75, 333)(76, 334)(77, 335)(78, 337)(79, 406)(80, 387)(81, 383)(82, 399)(83, 384)(84, 386)(85, 389)(86, 382)(87, 407)(88, 385)(89, 408)(90, 409)(91, 410)(92, 411)(93, 347)(94, 350)(95, 348)(96, 353)(97, 349)(98, 361)(99, 351)(100, 413)(101, 380)(102, 354)(103, 355)(104, 356)(105, 358)(106, 419)(107, 376)(108, 420)(109, 421)(110, 422)(111, 423)(112, 362)(113, 363)(114, 364)(115, 365)(116, 366)(117, 368)(118, 417)(119, 427)(120, 426)(121, 425)(122, 424)(123, 428)(124, 381)(125, 429)(126, 390)(127, 391)(128, 392)(129, 393)(130, 395)(131, 403)(132, 431)(133, 412)(134, 430)(135, 432)(136, 400)(137, 401)(138, 402)(139, 404)(140, 405)(141, 416)(142, 414)(143, 415)(144, 418)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.2640
Graph:: bipartite
	v = 18 e = 288 f = 216
	degree seq :: [ 24^12, 48^6 ]

E28.2639 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 24})
Quotient :: dipole
Aut^+ = (C3 x (C3 : Q8)) : C2 (small group id <144, 60>)
Aut   = $<288, 442>$ (small group id <288, 442>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, (Y2^-1 * Y1^-1)^2, (Y2^-1 * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, R * Y2 * R * Y3, Y1^12, Y1^-1 * Y2^-1 * Y1^2 * Y2^-4 * Y1 * Y2^7 * Y1^-2 ]
Map::
	R = (1, 145, 2, 146, 6, 150, 14, 158, 26, 170, 42, 186, 62, 206, 60, 204, 40, 184, 24, 168, 12, 156, 4, 148)(3, 147, 9, 153, 19, 163, 33, 177, 51, 195, 73, 217, 85, 229, 64, 208, 43, 187, 28, 172, 15, 159, 8, 152)(5, 149, 11, 155, 22, 166, 37, 181, 56, 200, 79, 223, 86, 230, 63, 207, 44, 188, 27, 171, 16, 160, 7, 151)(10, 154, 18, 162, 29, 173, 46, 190, 65, 209, 88, 232, 109, 253, 97, 241, 74, 218, 52, 196, 34, 178, 20, 164)(13, 157, 17, 161, 30, 174, 45, 189, 66, 210, 87, 231, 110, 254, 103, 247, 80, 224, 57, 201, 38, 182, 23, 167)(21, 165, 35, 179, 53, 197, 75, 219, 98, 242, 121, 265, 133, 277, 112, 256, 89, 233, 68, 212, 47, 191, 32, 176)(25, 169, 39, 183, 58, 202, 81, 225, 104, 248, 127, 271, 134, 278, 111, 255, 90, 234, 67, 211, 48, 192, 31, 175)(36, 180, 50, 194, 69, 213, 92, 236, 113, 257, 136, 280, 132, 276, 143, 287, 122, 266, 99, 243, 76, 220, 54, 198)(41, 185, 49, 193, 70, 214, 91, 235, 114, 258, 135, 279, 126, 270, 144, 288, 128, 272, 105, 249, 82, 226, 59, 203)(55, 199, 77, 221, 100, 244, 123, 267, 142, 286, 119, 263, 108, 252, 131, 275, 137, 281, 116, 260, 93, 237, 72, 216)(61, 205, 83, 227, 106, 250, 129, 273, 141, 285, 120, 264, 102, 246, 125, 269, 138, 282, 115, 259, 94, 238, 71, 215)(78, 222, 96, 240, 117, 261, 140, 284, 130, 274, 107, 251, 84, 228, 95, 239, 118, 262, 139, 283, 124, 268, 101, 245)(289, 433, 291, 435, 298, 442, 309, 453, 324, 468, 343, 487, 366, 510, 390, 534, 414, 558, 422, 566, 398, 542, 374, 518, 350, 494, 373, 517, 397, 541, 421, 565, 420, 564, 396, 540, 372, 516, 349, 493, 329, 473, 313, 457, 301, 445, 293, 437)(290, 434, 295, 439, 305, 449, 319, 463, 337, 481, 359, 503, 383, 527, 407, 551, 431, 575, 409, 553, 385, 529, 361, 505, 348, 492, 367, 511, 391, 535, 415, 559, 432, 576, 408, 552, 384, 528, 360, 504, 338, 482, 320, 464, 306, 450, 296, 440)(292, 436, 299, 443, 311, 455, 327, 471, 347, 491, 371, 515, 395, 539, 419, 563, 424, 568, 400, 544, 376, 520, 352, 496, 330, 474, 351, 495, 375, 519, 399, 543, 423, 567, 413, 557, 389, 533, 365, 509, 342, 486, 323, 467, 308, 452, 297, 441)(294, 438, 303, 447, 317, 461, 335, 479, 357, 501, 381, 525, 405, 549, 429, 573, 416, 560, 392, 536, 368, 512, 344, 488, 328, 472, 339, 483, 362, 506, 386, 530, 410, 554, 430, 574, 406, 550, 382, 526, 358, 502, 336, 480, 318, 462, 304, 448)(300, 444, 307, 451, 322, 466, 341, 485, 364, 508, 388, 532, 412, 556, 426, 570, 402, 546, 378, 522, 354, 498, 332, 476, 314, 458, 331, 475, 353, 497, 377, 521, 401, 545, 425, 569, 418, 562, 394, 538, 370, 514, 346, 490, 326, 470, 310, 454)(302, 446, 315, 459, 333, 477, 355, 499, 379, 523, 403, 547, 427, 571, 411, 555, 387, 531, 363, 507, 340, 484, 321, 465, 312, 456, 325, 469, 345, 489, 369, 513, 393, 537, 417, 561, 428, 572, 404, 548, 380, 524, 356, 500, 334, 478, 316, 460)
	L = (1, 291)(2, 295)(3, 298)(4, 299)(5, 289)(6, 303)(7, 305)(8, 290)(9, 292)(10, 309)(11, 311)(12, 307)(13, 293)(14, 315)(15, 317)(16, 294)(17, 319)(18, 296)(19, 322)(20, 297)(21, 324)(22, 300)(23, 327)(24, 325)(25, 301)(26, 331)(27, 333)(28, 302)(29, 335)(30, 304)(31, 337)(32, 306)(33, 312)(34, 341)(35, 308)(36, 343)(37, 345)(38, 310)(39, 347)(40, 339)(41, 313)(42, 351)(43, 353)(44, 314)(45, 355)(46, 316)(47, 357)(48, 318)(49, 359)(50, 320)(51, 362)(52, 321)(53, 364)(54, 323)(55, 366)(56, 328)(57, 369)(58, 326)(59, 371)(60, 367)(61, 329)(62, 373)(63, 375)(64, 330)(65, 377)(66, 332)(67, 379)(68, 334)(69, 381)(70, 336)(71, 383)(72, 338)(73, 348)(74, 386)(75, 340)(76, 388)(77, 342)(78, 390)(79, 391)(80, 344)(81, 393)(82, 346)(83, 395)(84, 349)(85, 397)(86, 350)(87, 399)(88, 352)(89, 401)(90, 354)(91, 403)(92, 356)(93, 405)(94, 358)(95, 407)(96, 360)(97, 361)(98, 410)(99, 363)(100, 412)(101, 365)(102, 414)(103, 415)(104, 368)(105, 417)(106, 370)(107, 419)(108, 372)(109, 421)(110, 374)(111, 423)(112, 376)(113, 425)(114, 378)(115, 427)(116, 380)(117, 429)(118, 382)(119, 431)(120, 384)(121, 385)(122, 430)(123, 387)(124, 426)(125, 389)(126, 422)(127, 432)(128, 392)(129, 428)(130, 394)(131, 424)(132, 396)(133, 420)(134, 398)(135, 413)(136, 400)(137, 418)(138, 402)(139, 411)(140, 404)(141, 416)(142, 406)(143, 409)(144, 408)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.2641
Graph:: bipartite
	v = 18 e = 288 f = 216
	degree seq :: [ 24^12, 48^6 ]

E28.2640 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 24})
Quotient :: dipole
Aut^+ = C3 x (C24 : C2) (small group id <144, 71>)
Aut   = $<288, 442>$ (small group id <288, 442>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2, Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2, Y3^-7 * Y2 * Y3^3 * Y2 * Y3^-2, (Y3^6 * Y2)^2, (Y3^-1 * Y1^-1)^24 ]
Map:: polytopal
	R = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)(289, 433, 290, 434)(291, 435, 295, 439)(292, 436, 297, 441)(293, 437, 299, 443)(294, 438, 301, 445)(296, 440, 305, 449)(298, 442, 309, 453)(300, 444, 313, 457)(302, 446, 317, 461)(303, 447, 311, 455)(304, 448, 315, 459)(306, 450, 323, 467)(307, 451, 312, 456)(308, 452, 316, 460)(310, 454, 329, 473)(314, 458, 335, 479)(318, 462, 341, 485)(319, 463, 333, 477)(320, 464, 339, 483)(321, 465, 331, 475)(322, 466, 337, 481)(324, 468, 349, 493)(325, 469, 334, 478)(326, 470, 340, 484)(327, 471, 332, 476)(328, 472, 338, 482)(330, 474, 357, 501)(336, 480, 365, 509)(342, 486, 373, 517)(343, 487, 363, 507)(344, 488, 371, 515)(345, 489, 361, 505)(346, 490, 369, 513)(347, 491, 359, 503)(348, 492, 367, 511)(350, 494, 383, 527)(351, 495, 364, 508)(352, 496, 372, 516)(353, 497, 362, 506)(354, 498, 370, 514)(355, 499, 360, 504)(356, 500, 368, 512)(358, 502, 393, 537)(366, 510, 403, 547)(374, 518, 413, 557)(375, 519, 401, 545)(376, 520, 411, 555)(377, 521, 399, 543)(378, 522, 409, 553)(379, 523, 397, 541)(380, 524, 407, 551)(381, 525, 395, 539)(382, 526, 405, 549)(384, 528, 414, 558)(385, 529, 402, 546)(386, 530, 412, 556)(387, 531, 400, 544)(388, 532, 410, 554)(389, 533, 398, 542)(390, 534, 408, 552)(391, 535, 396, 540)(392, 536, 406, 550)(394, 538, 404, 548)(415, 559, 431, 575)(416, 560, 430, 574)(417, 561, 429, 573)(418, 562, 432, 576)(419, 563, 428, 572)(420, 564, 426, 570)(421, 565, 425, 569)(422, 566, 424, 568)(423, 567, 427, 571)
	L = (1, 291)(2, 293)(3, 296)(4, 289)(5, 300)(6, 290)(7, 303)(8, 306)(9, 307)(10, 292)(11, 311)(12, 314)(13, 315)(14, 294)(15, 319)(16, 295)(17, 321)(18, 324)(19, 325)(20, 297)(21, 327)(22, 298)(23, 331)(24, 299)(25, 333)(26, 336)(27, 337)(28, 301)(29, 339)(30, 302)(31, 343)(32, 304)(33, 345)(34, 305)(35, 347)(36, 350)(37, 351)(38, 308)(39, 353)(40, 309)(41, 355)(42, 310)(43, 359)(44, 312)(45, 361)(46, 313)(47, 363)(48, 366)(49, 367)(50, 316)(51, 369)(52, 317)(53, 371)(54, 318)(55, 375)(56, 320)(57, 377)(58, 322)(59, 379)(60, 323)(61, 381)(62, 384)(63, 385)(64, 326)(65, 387)(66, 328)(67, 389)(68, 329)(69, 391)(70, 330)(71, 395)(72, 332)(73, 397)(74, 334)(75, 399)(76, 335)(77, 401)(78, 404)(79, 405)(80, 338)(81, 407)(82, 340)(83, 409)(84, 341)(85, 411)(86, 342)(87, 415)(88, 344)(89, 417)(90, 346)(91, 419)(92, 348)(93, 420)(94, 349)(95, 422)(96, 400)(97, 418)(98, 352)(99, 416)(100, 354)(101, 414)(102, 356)(103, 423)(104, 357)(105, 421)(106, 358)(107, 424)(108, 360)(109, 426)(110, 362)(111, 428)(112, 364)(113, 429)(114, 365)(115, 431)(116, 380)(117, 427)(118, 368)(119, 425)(120, 370)(121, 394)(122, 372)(123, 432)(124, 373)(125, 430)(126, 374)(127, 393)(128, 376)(129, 392)(130, 378)(131, 390)(132, 388)(133, 382)(134, 386)(135, 383)(136, 413)(137, 396)(138, 412)(139, 398)(140, 410)(141, 408)(142, 402)(143, 406)(144, 403)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 24, 48 ), ( 24, 48, 24, 48 ) }
Outer automorphisms :: reflexible
Dual of E28.2638
Graph:: simple bipartite
	v = 216 e = 288 f = 18
	degree seq :: [ 2^144, 4^72 ]

E28.2641 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 24})
Quotient :: dipole
Aut^+ = (C3 x (C3 : Q8)) : C2 (small group id <144, 60>)
Aut   = $<288, 442>$ (small group id <288, 442>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^2 * Y2)^2, Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-7 * Y2 * Y3 * Y2 * Y3^-1, (Y3^-1 * Y2)^12, (Y3^-1 * Y1^-1)^24 ]
Map:: polytopal
	R = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)(289, 433, 290, 434)(291, 435, 295, 439)(292, 436, 297, 441)(293, 437, 299, 443)(294, 438, 301, 445)(296, 440, 302, 446)(298, 442, 300, 444)(303, 447, 313, 457)(304, 448, 314, 458)(305, 449, 315, 459)(306, 450, 317, 461)(307, 451, 318, 462)(308, 452, 320, 464)(309, 453, 321, 465)(310, 454, 322, 466)(311, 455, 324, 468)(312, 456, 325, 469)(316, 460, 326, 470)(319, 463, 323, 467)(327, 471, 343, 487)(328, 472, 344, 488)(329, 473, 345, 489)(330, 474, 346, 490)(331, 475, 347, 491)(332, 476, 349, 493)(333, 477, 350, 494)(334, 478, 351, 495)(335, 479, 353, 497)(336, 480, 354, 498)(337, 481, 355, 499)(338, 482, 356, 500)(339, 483, 357, 501)(340, 484, 359, 503)(341, 485, 360, 504)(342, 486, 361, 505)(348, 492, 362, 506)(352, 496, 358, 502)(363, 507, 385, 529)(364, 508, 386, 530)(365, 509, 387, 531)(366, 510, 388, 532)(367, 511, 389, 533)(368, 512, 390, 534)(369, 513, 391, 535)(370, 514, 393, 537)(371, 515, 394, 538)(372, 516, 395, 539)(373, 517, 396, 540)(374, 518, 398, 542)(375, 519, 399, 543)(376, 520, 400, 544)(377, 521, 401, 545)(378, 522, 402, 546)(379, 523, 403, 547)(380, 524, 404, 548)(381, 525, 406, 550)(382, 526, 407, 551)(383, 527, 408, 552)(384, 528, 409, 553)(392, 536, 410, 554)(397, 541, 405, 549)(411, 555, 423, 567)(412, 556, 424, 568)(413, 557, 421, 565)(414, 558, 422, 566)(415, 559, 419, 563)(416, 560, 420, 564)(417, 561, 427, 571)(418, 562, 428, 572)(425, 569, 430, 574)(426, 570, 429, 573)(431, 575, 432, 576)
	L = (1, 291)(2, 293)(3, 296)(4, 289)(5, 300)(6, 290)(7, 303)(8, 305)(9, 306)(10, 292)(11, 308)(12, 310)(13, 311)(14, 294)(15, 297)(16, 295)(17, 316)(18, 318)(19, 298)(20, 301)(21, 299)(22, 323)(23, 325)(24, 302)(25, 327)(26, 329)(27, 304)(28, 331)(29, 328)(30, 333)(31, 307)(32, 335)(33, 337)(34, 309)(35, 339)(36, 336)(37, 341)(38, 312)(39, 314)(40, 313)(41, 346)(42, 315)(43, 348)(44, 317)(45, 351)(46, 319)(47, 321)(48, 320)(49, 356)(50, 322)(51, 358)(52, 324)(53, 361)(54, 326)(55, 363)(56, 365)(57, 364)(58, 367)(59, 330)(60, 369)(61, 370)(62, 332)(63, 372)(64, 334)(65, 374)(66, 376)(67, 375)(68, 378)(69, 338)(70, 380)(71, 381)(72, 340)(73, 383)(74, 342)(75, 344)(76, 343)(77, 349)(78, 345)(79, 390)(80, 347)(81, 392)(82, 394)(83, 350)(84, 396)(85, 352)(86, 354)(87, 353)(88, 359)(89, 355)(90, 403)(91, 357)(92, 405)(93, 407)(94, 360)(95, 409)(96, 362)(97, 411)(98, 413)(99, 412)(100, 404)(101, 366)(102, 402)(103, 368)(104, 415)(105, 414)(106, 408)(107, 371)(108, 406)(109, 373)(110, 417)(111, 419)(112, 418)(113, 391)(114, 377)(115, 389)(116, 379)(117, 421)(118, 420)(119, 395)(120, 382)(121, 393)(122, 384)(123, 386)(124, 385)(125, 388)(126, 387)(127, 425)(128, 397)(129, 399)(130, 398)(131, 401)(132, 400)(133, 429)(134, 410)(135, 431)(136, 430)(137, 427)(138, 416)(139, 432)(140, 426)(141, 423)(142, 422)(143, 424)(144, 428)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 24, 48 ), ( 24, 48, 24, 48 ) }
Outer automorphisms :: reflexible
Dual of E28.2639
Graph:: simple bipartite
	v = 216 e = 288 f = 18
	degree seq :: [ 2^144, 4^72 ]

E28.2642 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 24})
Quotient :: dipole
Aut^+ = C3 x (C24 : C2) (small group id <144, 71>)
Aut   = $<288, 442>$ (small group id <288, 442>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1, Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3, Y3 * Y1^9 * Y3 * Y1^-3, (Y3 * Y1^-6)^2 ]
Map::
	R = (1, 145, 2, 146, 5, 149, 11, 155, 23, 167, 43, 187, 71, 215, 107, 251, 89, 233, 56, 200, 84, 228, 120, 264, 140, 284, 133, 277, 94, 238, 61, 205, 85, 229, 121, 265, 106, 250, 70, 214, 42, 186, 22, 166, 10, 154, 4, 148)(3, 147, 7, 151, 15, 159, 31, 175, 55, 199, 87, 231, 118, 262, 78, 222, 46, 190, 24, 168, 45, 189, 75, 219, 115, 259, 102, 246, 68, 212, 41, 185, 67, 211, 101, 245, 108, 252, 96, 240, 62, 206, 36, 180, 18, 162, 8, 152)(6, 150, 13, 157, 27, 171, 51, 195, 83, 227, 123, 267, 105, 249, 114, 258, 74, 218, 44, 188, 73, 217, 111, 255, 100, 244, 66, 210, 40, 184, 21, 165, 39, 183, 65, 209, 99, 243, 126, 270, 86, 230, 54, 198, 30, 174, 14, 158)(9, 153, 19, 163, 37, 181, 63, 207, 97, 241, 122, 266, 82, 226, 50, 194, 26, 170, 12, 156, 25, 169, 47, 191, 79, 223, 119, 263, 104, 248, 69, 213, 103, 247, 110, 254, 72, 216, 109, 253, 98, 242, 64, 208, 38, 182, 20, 164)(16, 160, 28, 172, 48, 192, 76, 220, 112, 256, 136, 280, 135, 279, 144, 288, 128, 272, 88, 232, 124, 268, 141, 285, 132, 276, 93, 237, 60, 204, 35, 179, 53, 197, 81, 225, 117, 261, 139, 283, 130, 274, 91, 235, 58, 202, 33, 177)(17, 161, 29, 173, 49, 193, 77, 221, 113, 257, 137, 281, 129, 273, 90, 234, 57, 201, 32, 176, 52, 196, 80, 224, 116, 260, 138, 282, 134, 278, 95, 239, 125, 269, 142, 286, 127, 271, 143, 287, 131, 275, 92, 236, 59, 203, 34, 178)(289, 433)(290, 434)(291, 435)(292, 436)(293, 437)(294, 438)(295, 439)(296, 440)(297, 441)(298, 442)(299, 443)(300, 444)(301, 445)(302, 446)(303, 447)(304, 448)(305, 449)(306, 450)(307, 451)(308, 452)(309, 453)(310, 454)(311, 455)(312, 456)(313, 457)(314, 458)(315, 459)(316, 460)(317, 461)(318, 462)(319, 463)(320, 464)(321, 465)(322, 466)(323, 467)(324, 468)(325, 469)(326, 470)(327, 471)(328, 472)(329, 473)(330, 474)(331, 475)(332, 476)(333, 477)(334, 478)(335, 479)(336, 480)(337, 481)(338, 482)(339, 483)(340, 484)(341, 485)(342, 486)(343, 487)(344, 488)(345, 489)(346, 490)(347, 491)(348, 492)(349, 493)(350, 494)(351, 495)(352, 496)(353, 497)(354, 498)(355, 499)(356, 500)(357, 501)(358, 502)(359, 503)(360, 504)(361, 505)(362, 506)(363, 507)(364, 508)(365, 509)(366, 510)(367, 511)(368, 512)(369, 513)(370, 514)(371, 515)(372, 516)(373, 517)(374, 518)(375, 519)(376, 520)(377, 521)(378, 522)(379, 523)(380, 524)(381, 525)(382, 526)(383, 527)(384, 528)(385, 529)(386, 530)(387, 531)(388, 532)(389, 533)(390, 534)(391, 535)(392, 536)(393, 537)(394, 538)(395, 539)(396, 540)(397, 541)(398, 542)(399, 543)(400, 544)(401, 545)(402, 546)(403, 547)(404, 548)(405, 549)(406, 550)(407, 551)(408, 552)(409, 553)(410, 554)(411, 555)(412, 556)(413, 557)(414, 558)(415, 559)(416, 560)(417, 561)(418, 562)(419, 563)(420, 564)(421, 565)(422, 566)(423, 567)(424, 568)(425, 569)(426, 570)(427, 571)(428, 572)(429, 573)(430, 574)(431, 575)(432, 576)
	L = (1, 291)(2, 294)(3, 289)(4, 297)(5, 300)(6, 290)(7, 304)(8, 305)(9, 292)(10, 309)(11, 312)(12, 293)(13, 316)(14, 317)(15, 320)(16, 295)(17, 296)(18, 323)(19, 321)(20, 322)(21, 298)(22, 329)(23, 332)(24, 299)(25, 336)(26, 337)(27, 340)(28, 301)(29, 302)(30, 341)(31, 344)(32, 303)(33, 307)(34, 308)(35, 306)(36, 349)(37, 345)(38, 348)(39, 346)(40, 347)(41, 310)(42, 357)(43, 360)(44, 311)(45, 364)(46, 365)(47, 368)(48, 313)(49, 314)(50, 369)(51, 372)(52, 315)(53, 318)(54, 373)(55, 376)(56, 319)(57, 325)(58, 327)(59, 328)(60, 326)(61, 324)(62, 383)(63, 377)(64, 382)(65, 378)(66, 381)(67, 379)(68, 380)(69, 330)(70, 393)(71, 396)(72, 331)(73, 400)(74, 401)(75, 404)(76, 333)(77, 334)(78, 405)(79, 408)(80, 335)(81, 338)(82, 409)(83, 412)(84, 339)(85, 342)(86, 413)(87, 415)(88, 343)(89, 351)(90, 353)(91, 355)(92, 356)(93, 354)(94, 352)(95, 350)(96, 423)(97, 416)(98, 422)(99, 395)(100, 421)(101, 417)(102, 420)(103, 418)(104, 419)(105, 358)(106, 406)(107, 387)(108, 359)(109, 424)(110, 425)(111, 426)(112, 361)(113, 362)(114, 427)(115, 428)(116, 363)(117, 366)(118, 394)(119, 429)(120, 367)(121, 370)(122, 430)(123, 431)(124, 371)(125, 374)(126, 432)(127, 375)(128, 385)(129, 389)(130, 391)(131, 392)(132, 390)(133, 388)(134, 386)(135, 384)(136, 397)(137, 398)(138, 399)(139, 402)(140, 403)(141, 407)(142, 410)(143, 411)(144, 414)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.2636
Graph:: simple bipartite
	v = 150 e = 288 f = 84
	degree seq :: [ 2^144, 48^6 ]

E28.2643 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 24})
Quotient :: dipole
Aut^+ = (C3 x (C3 : Q8)) : C2 (small group id <144, 60>)
Aut   = $<288, 442>$ (small group id <288, 442>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (Y3 * Y2^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y1^-2 * Y3)^2, Y1^-2 * Y3 * Y1^3 * Y3 * Y1^-3 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1, (Y3 * Y1)^12, Y1^24 ]
Map::
	R = (1, 145, 2, 146, 5, 149, 11, 155, 20, 164, 32, 176, 47, 191, 65, 209, 86, 230, 110, 254, 129, 273, 139, 283, 144, 288, 143, 287, 138, 282, 128, 272, 109, 253, 85, 229, 64, 208, 46, 190, 31, 175, 19, 163, 10, 154, 4, 148)(3, 147, 7, 151, 15, 159, 25, 169, 39, 183, 55, 199, 75, 219, 97, 241, 123, 267, 134, 278, 142, 286, 132, 276, 141, 285, 133, 277, 140, 284, 131, 275, 111, 255, 88, 232, 66, 210, 49, 193, 33, 177, 22, 166, 12, 156, 8, 152)(6, 150, 13, 157, 9, 153, 18, 162, 29, 173, 44, 188, 61, 205, 82, 226, 105, 249, 127, 271, 137, 281, 126, 270, 136, 280, 124, 268, 135, 279, 125, 269, 130, 274, 112, 256, 87, 231, 67, 211, 48, 192, 34, 178, 21, 165, 14, 158)(16, 160, 26, 170, 17, 161, 28, 172, 35, 179, 51, 195, 68, 212, 90, 234, 113, 257, 108, 252, 121, 265, 95, 239, 119, 263, 93, 237, 118, 262, 94, 238, 120, 264, 96, 240, 122, 266, 98, 242, 76, 220, 56, 200, 40, 184, 27, 171)(23, 167, 36, 180, 24, 168, 38, 182, 50, 194, 69, 213, 89, 233, 114, 258, 103, 247, 80, 224, 101, 245, 78, 222, 100, 244, 79, 223, 102, 246, 81, 225, 104, 248, 117, 261, 106, 250, 83, 227, 62, 206, 45, 189, 30, 174, 37, 181)(41, 185, 57, 201, 42, 186, 59, 203, 77, 221, 99, 243, 116, 260, 91, 235, 74, 218, 54, 198, 72, 216, 52, 196, 71, 215, 53, 197, 73, 217, 63, 207, 84, 228, 107, 251, 115, 259, 92, 236, 70, 214, 60, 204, 43, 187, 58, 202)(289, 433)(290, 434)(291, 435)(292, 436)(293, 437)(294, 438)(295, 439)(296, 440)(297, 441)(298, 442)(299, 443)(300, 444)(301, 445)(302, 446)(303, 447)(304, 448)(305, 449)(306, 450)(307, 451)(308, 452)(309, 453)(310, 454)(311, 455)(312, 456)(313, 457)(314, 458)(315, 459)(316, 460)(317, 461)(318, 462)(319, 463)(320, 464)(321, 465)(322, 466)(323, 467)(324, 468)(325, 469)(326, 470)(327, 471)(328, 472)(329, 473)(330, 474)(331, 475)(332, 476)(333, 477)(334, 478)(335, 479)(336, 480)(337, 481)(338, 482)(339, 483)(340, 484)(341, 485)(342, 486)(343, 487)(344, 488)(345, 489)(346, 490)(347, 491)(348, 492)(349, 493)(350, 494)(351, 495)(352, 496)(353, 497)(354, 498)(355, 499)(356, 500)(357, 501)(358, 502)(359, 503)(360, 504)(361, 505)(362, 506)(363, 507)(364, 508)(365, 509)(366, 510)(367, 511)(368, 512)(369, 513)(370, 514)(371, 515)(372, 516)(373, 517)(374, 518)(375, 519)(376, 520)(377, 521)(378, 522)(379, 523)(380, 524)(381, 525)(382, 526)(383, 527)(384, 528)(385, 529)(386, 530)(387, 531)(388, 532)(389, 533)(390, 534)(391, 535)(392, 536)(393, 537)(394, 538)(395, 539)(396, 540)(397, 541)(398, 542)(399, 543)(400, 544)(401, 545)(402, 546)(403, 547)(404, 548)(405, 549)(406, 550)(407, 551)(408, 552)(409, 553)(410, 554)(411, 555)(412, 556)(413, 557)(414, 558)(415, 559)(416, 560)(417, 561)(418, 562)(419, 563)(420, 564)(421, 565)(422, 566)(423, 567)(424, 568)(425, 569)(426, 570)(427, 571)(428, 572)(429, 573)(430, 574)(431, 575)(432, 576)
	L = (1, 291)(2, 294)(3, 289)(4, 297)(5, 300)(6, 290)(7, 304)(8, 305)(9, 292)(10, 303)(11, 309)(12, 293)(13, 311)(14, 312)(15, 298)(16, 295)(17, 296)(18, 318)(19, 317)(20, 321)(21, 299)(22, 323)(23, 301)(24, 302)(25, 328)(26, 329)(27, 330)(28, 331)(29, 307)(30, 306)(31, 327)(32, 336)(33, 308)(34, 338)(35, 310)(36, 340)(37, 341)(38, 342)(39, 319)(40, 313)(41, 314)(42, 315)(43, 316)(44, 350)(45, 351)(46, 349)(47, 354)(48, 320)(49, 356)(50, 322)(51, 358)(52, 324)(53, 325)(54, 326)(55, 364)(56, 365)(57, 366)(58, 367)(59, 368)(60, 369)(61, 334)(62, 332)(63, 333)(64, 363)(65, 375)(66, 335)(67, 377)(68, 337)(69, 379)(70, 339)(71, 381)(72, 382)(73, 383)(74, 384)(75, 352)(76, 343)(77, 344)(78, 345)(79, 346)(80, 347)(81, 348)(82, 394)(83, 395)(84, 396)(85, 393)(86, 399)(87, 353)(88, 401)(89, 355)(90, 403)(91, 357)(92, 405)(93, 359)(94, 360)(95, 361)(96, 362)(97, 410)(98, 404)(99, 402)(100, 412)(101, 413)(102, 414)(103, 400)(104, 415)(105, 373)(106, 370)(107, 371)(108, 372)(109, 411)(110, 418)(111, 374)(112, 391)(113, 376)(114, 387)(115, 378)(116, 386)(117, 380)(118, 420)(119, 421)(120, 422)(121, 419)(122, 385)(123, 397)(124, 388)(125, 389)(126, 390)(127, 392)(128, 425)(129, 428)(130, 398)(131, 409)(132, 406)(133, 407)(134, 408)(135, 427)(136, 431)(137, 416)(138, 430)(139, 423)(140, 417)(141, 432)(142, 426)(143, 424)(144, 429)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.2637
Graph:: simple bipartite
	v = 150 e = 288 f = 84
	degree seq :: [ 2^144, 48^6 ]

E28.2644 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 24})
Quotient :: dipole
Aut^+ = C3 x (C24 : C2) (small group id <144, 71>)
Aut   = $<288, 442>$ (small group id <288, 442>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1, (Y2^-1 * R * Y1 * Y2^-2)^2, Y2^-2 * Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1, Y1 * Y2^-9 * Y1 * Y2^3, Y2^-1 * R * Y2^-9 * R * Y2^-2, (Y2^-1 * Y1 * Y2^-5)^2, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 145, 2, 146)(3, 147, 7, 151)(4, 148, 9, 153)(5, 149, 11, 155)(6, 150, 13, 157)(8, 152, 17, 161)(10, 154, 21, 165)(12, 156, 25, 169)(14, 158, 29, 173)(15, 159, 23, 167)(16, 160, 27, 171)(18, 162, 35, 179)(19, 163, 24, 168)(20, 164, 28, 172)(22, 166, 41, 185)(26, 170, 47, 191)(30, 174, 53, 197)(31, 175, 45, 189)(32, 176, 51, 195)(33, 177, 43, 187)(34, 178, 49, 193)(36, 180, 61, 205)(37, 181, 46, 190)(38, 182, 52, 196)(39, 183, 44, 188)(40, 184, 50, 194)(42, 186, 69, 213)(48, 192, 77, 221)(54, 198, 85, 229)(55, 199, 75, 219)(56, 200, 83, 227)(57, 201, 73, 217)(58, 202, 81, 225)(59, 203, 71, 215)(60, 204, 79, 223)(62, 206, 95, 239)(63, 207, 76, 220)(64, 208, 84, 228)(65, 209, 74, 218)(66, 210, 82, 226)(67, 211, 72, 216)(68, 212, 80, 224)(70, 214, 105, 249)(78, 222, 115, 259)(86, 230, 125, 269)(87, 231, 113, 257)(88, 232, 123, 267)(89, 233, 111, 255)(90, 234, 121, 265)(91, 235, 109, 253)(92, 236, 119, 263)(93, 237, 107, 251)(94, 238, 117, 261)(96, 240, 126, 270)(97, 241, 114, 258)(98, 242, 124, 268)(99, 243, 112, 256)(100, 244, 122, 266)(101, 245, 110, 254)(102, 246, 120, 264)(103, 247, 108, 252)(104, 248, 118, 262)(106, 250, 116, 260)(127, 271, 143, 287)(128, 272, 142, 286)(129, 273, 141, 285)(130, 274, 144, 288)(131, 275, 140, 284)(132, 276, 138, 282)(133, 277, 137, 281)(134, 278, 136, 280)(135, 279, 139, 283)(289, 433, 291, 435, 296, 440, 306, 450, 324, 468, 350, 494, 384, 528, 400, 544, 364, 508, 335, 479, 363, 507, 399, 543, 428, 572, 410, 554, 372, 516, 341, 485, 371, 515, 409, 553, 394, 538, 358, 502, 330, 474, 310, 454, 298, 442, 292, 436)(290, 434, 293, 437, 300, 444, 314, 458, 336, 480, 366, 510, 404, 548, 380, 524, 348, 492, 323, 467, 347, 491, 379, 523, 419, 563, 390, 534, 356, 500, 329, 473, 355, 499, 389, 533, 414, 558, 374, 518, 342, 486, 318, 462, 302, 446, 294, 438)(295, 439, 303, 447, 319, 463, 343, 487, 375, 519, 415, 559, 393, 537, 421, 565, 382, 526, 349, 493, 381, 525, 420, 564, 388, 532, 354, 498, 328, 472, 309, 453, 327, 471, 353, 497, 387, 531, 416, 560, 376, 520, 344, 488, 320, 464, 304, 448)(297, 441, 307, 451, 325, 469, 351, 495, 385, 529, 418, 562, 378, 522, 346, 490, 322, 466, 305, 449, 321, 465, 345, 489, 377, 521, 417, 561, 392, 536, 357, 501, 391, 535, 423, 567, 383, 527, 422, 566, 386, 530, 352, 496, 326, 470, 308, 452)(299, 443, 311, 455, 331, 475, 359, 503, 395, 539, 424, 568, 413, 557, 430, 574, 402, 546, 365, 509, 401, 545, 429, 573, 408, 552, 370, 514, 340, 484, 317, 461, 339, 483, 369, 513, 407, 551, 425, 569, 396, 540, 360, 504, 332, 476, 312, 456)(301, 445, 315, 459, 337, 481, 367, 511, 405, 549, 427, 571, 398, 542, 362, 506, 334, 478, 313, 457, 333, 477, 361, 505, 397, 541, 426, 570, 412, 556, 373, 517, 411, 555, 432, 576, 403, 547, 431, 575, 406, 550, 368, 512, 338, 482, 316, 460)
	L = (1, 290)(2, 289)(3, 295)(4, 297)(5, 299)(6, 301)(7, 291)(8, 305)(9, 292)(10, 309)(11, 293)(12, 313)(13, 294)(14, 317)(15, 311)(16, 315)(17, 296)(18, 323)(19, 312)(20, 316)(21, 298)(22, 329)(23, 303)(24, 307)(25, 300)(26, 335)(27, 304)(28, 308)(29, 302)(30, 341)(31, 333)(32, 339)(33, 331)(34, 337)(35, 306)(36, 349)(37, 334)(38, 340)(39, 332)(40, 338)(41, 310)(42, 357)(43, 321)(44, 327)(45, 319)(46, 325)(47, 314)(48, 365)(49, 322)(50, 328)(51, 320)(52, 326)(53, 318)(54, 373)(55, 363)(56, 371)(57, 361)(58, 369)(59, 359)(60, 367)(61, 324)(62, 383)(63, 364)(64, 372)(65, 362)(66, 370)(67, 360)(68, 368)(69, 330)(70, 393)(71, 347)(72, 355)(73, 345)(74, 353)(75, 343)(76, 351)(77, 336)(78, 403)(79, 348)(80, 356)(81, 346)(82, 354)(83, 344)(84, 352)(85, 342)(86, 413)(87, 401)(88, 411)(89, 399)(90, 409)(91, 397)(92, 407)(93, 395)(94, 405)(95, 350)(96, 414)(97, 402)(98, 412)(99, 400)(100, 410)(101, 398)(102, 408)(103, 396)(104, 406)(105, 358)(106, 404)(107, 381)(108, 391)(109, 379)(110, 389)(111, 377)(112, 387)(113, 375)(114, 385)(115, 366)(116, 394)(117, 382)(118, 392)(119, 380)(120, 390)(121, 378)(122, 388)(123, 376)(124, 386)(125, 374)(126, 384)(127, 431)(128, 430)(129, 429)(130, 432)(131, 428)(132, 426)(133, 425)(134, 424)(135, 427)(136, 422)(137, 421)(138, 420)(139, 423)(140, 419)(141, 417)(142, 416)(143, 415)(144, 418)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.2646
Graph:: bipartite
	v = 78 e = 288 f = 156
	degree seq :: [ 4^72, 48^6 ]

E28.2645 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 24})
Quotient :: dipole
Aut^+ = (C3 x (C3 : Q8)) : C2 (small group id <144, 60>)
Aut   = $<288, 442>$ (small group id <288, 442>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2^2 * Y1)^2, Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-7 * Y1 * Y2 * Y1 * Y2^-1, Y2^24, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 145, 2, 146)(3, 147, 7, 151)(4, 148, 9, 153)(5, 149, 11, 155)(6, 150, 13, 157)(8, 152, 14, 158)(10, 154, 12, 156)(15, 159, 25, 169)(16, 160, 26, 170)(17, 161, 27, 171)(18, 162, 29, 173)(19, 163, 30, 174)(20, 164, 32, 176)(21, 165, 33, 177)(22, 166, 34, 178)(23, 167, 36, 180)(24, 168, 37, 181)(28, 172, 38, 182)(31, 175, 35, 179)(39, 183, 55, 199)(40, 184, 56, 200)(41, 185, 57, 201)(42, 186, 58, 202)(43, 187, 59, 203)(44, 188, 61, 205)(45, 189, 62, 206)(46, 190, 63, 207)(47, 191, 65, 209)(48, 192, 66, 210)(49, 193, 67, 211)(50, 194, 68, 212)(51, 195, 69, 213)(52, 196, 71, 215)(53, 197, 72, 216)(54, 198, 73, 217)(60, 204, 74, 218)(64, 208, 70, 214)(75, 219, 97, 241)(76, 220, 98, 242)(77, 221, 99, 243)(78, 222, 100, 244)(79, 223, 101, 245)(80, 224, 102, 246)(81, 225, 103, 247)(82, 226, 105, 249)(83, 227, 106, 250)(84, 228, 107, 251)(85, 229, 108, 252)(86, 230, 110, 254)(87, 231, 111, 255)(88, 232, 112, 256)(89, 233, 113, 257)(90, 234, 114, 258)(91, 235, 115, 259)(92, 236, 116, 260)(93, 237, 118, 262)(94, 238, 119, 263)(95, 239, 120, 264)(96, 240, 121, 265)(104, 248, 122, 266)(109, 253, 117, 261)(123, 267, 135, 279)(124, 268, 136, 280)(125, 269, 133, 277)(126, 270, 134, 278)(127, 271, 131, 275)(128, 272, 132, 276)(129, 273, 139, 283)(130, 274, 140, 284)(137, 281, 142, 286)(138, 282, 141, 285)(143, 287, 144, 288)(289, 433, 291, 435, 296, 440, 305, 449, 316, 460, 331, 475, 348, 492, 369, 513, 392, 536, 415, 559, 425, 569, 427, 571, 432, 576, 428, 572, 426, 570, 416, 560, 397, 541, 373, 517, 352, 496, 334, 478, 319, 463, 307, 451, 298, 442, 292, 436)(290, 434, 293, 437, 300, 444, 310, 454, 323, 467, 339, 483, 358, 502, 380, 524, 405, 549, 421, 565, 429, 573, 423, 567, 431, 575, 424, 568, 430, 574, 422, 566, 410, 554, 384, 528, 362, 506, 342, 486, 326, 470, 312, 456, 302, 446, 294, 438)(295, 439, 303, 447, 297, 441, 306, 450, 318, 462, 333, 477, 351, 495, 372, 516, 396, 540, 406, 550, 420, 564, 400, 544, 418, 562, 398, 542, 417, 561, 399, 543, 419, 563, 401, 545, 391, 535, 368, 512, 347, 491, 330, 474, 315, 459, 304, 448)(299, 443, 308, 452, 301, 445, 311, 455, 325, 469, 341, 485, 361, 505, 383, 527, 409, 553, 393, 537, 414, 558, 387, 531, 412, 556, 385, 529, 411, 555, 386, 530, 413, 557, 388, 532, 404, 548, 379, 523, 357, 501, 338, 482, 322, 466, 309, 453)(313, 457, 327, 471, 314, 458, 329, 473, 346, 490, 367, 511, 390, 534, 402, 546, 377, 521, 355, 499, 375, 519, 353, 497, 374, 518, 354, 498, 376, 520, 359, 503, 381, 525, 407, 551, 395, 539, 371, 515, 350, 494, 332, 476, 317, 461, 328, 472)(320, 464, 335, 479, 321, 465, 337, 481, 356, 500, 378, 522, 403, 547, 389, 533, 366, 510, 345, 489, 364, 508, 343, 487, 363, 507, 344, 488, 365, 509, 349, 493, 370, 514, 394, 538, 408, 552, 382, 526, 360, 504, 340, 484, 324, 468, 336, 480)
	L = (1, 290)(2, 289)(3, 295)(4, 297)(5, 299)(6, 301)(7, 291)(8, 302)(9, 292)(10, 300)(11, 293)(12, 298)(13, 294)(14, 296)(15, 313)(16, 314)(17, 315)(18, 317)(19, 318)(20, 320)(21, 321)(22, 322)(23, 324)(24, 325)(25, 303)(26, 304)(27, 305)(28, 326)(29, 306)(30, 307)(31, 323)(32, 308)(33, 309)(34, 310)(35, 319)(36, 311)(37, 312)(38, 316)(39, 343)(40, 344)(41, 345)(42, 346)(43, 347)(44, 349)(45, 350)(46, 351)(47, 353)(48, 354)(49, 355)(50, 356)(51, 357)(52, 359)(53, 360)(54, 361)(55, 327)(56, 328)(57, 329)(58, 330)(59, 331)(60, 362)(61, 332)(62, 333)(63, 334)(64, 358)(65, 335)(66, 336)(67, 337)(68, 338)(69, 339)(70, 352)(71, 340)(72, 341)(73, 342)(74, 348)(75, 385)(76, 386)(77, 387)(78, 388)(79, 389)(80, 390)(81, 391)(82, 393)(83, 394)(84, 395)(85, 396)(86, 398)(87, 399)(88, 400)(89, 401)(90, 402)(91, 403)(92, 404)(93, 406)(94, 407)(95, 408)(96, 409)(97, 363)(98, 364)(99, 365)(100, 366)(101, 367)(102, 368)(103, 369)(104, 410)(105, 370)(106, 371)(107, 372)(108, 373)(109, 405)(110, 374)(111, 375)(112, 376)(113, 377)(114, 378)(115, 379)(116, 380)(117, 397)(118, 381)(119, 382)(120, 383)(121, 384)(122, 392)(123, 423)(124, 424)(125, 421)(126, 422)(127, 419)(128, 420)(129, 427)(130, 428)(131, 415)(132, 416)(133, 413)(134, 414)(135, 411)(136, 412)(137, 430)(138, 429)(139, 417)(140, 418)(141, 426)(142, 425)(143, 432)(144, 431)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.2647
Graph:: bipartite
	v = 78 e = 288 f = 156
	degree seq :: [ 4^72, 48^6 ]

E28.2646 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 24})
Quotient :: dipole
Aut^+ = C3 x (C24 : C2) (small group id <144, 71>)
Aut   = $<288, 442>$ (small group id <288, 442>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y1^-3 * Y3^-1 * Y1, Y1^3 * Y3 * Y1^-1 * Y3, Y3^-1 * Y1 * Y3^-1 * Y1^-3, (R * Y2 * Y3^-1)^2, Y3 * Y1^-3 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1, Y3^-1 * Y1 * Y3^-1 * Y1^9, Y3^2 * Y1^-1 * Y3^-10 * Y1^-1, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 145, 2, 146, 6, 150, 16, 160, 34, 178, 60, 204, 94, 238, 83, 227, 53, 197, 27, 171, 13, 157, 4, 148)(3, 147, 9, 153, 17, 161, 8, 152, 21, 165, 35, 179, 62, 206, 95, 239, 84, 228, 50, 194, 28, 172, 11, 155)(5, 149, 14, 158, 18, 162, 37, 181, 61, 205, 96, 240, 86, 230, 52, 196, 30, 174, 12, 156, 20, 164, 7, 151)(10, 154, 24, 168, 36, 180, 23, 167, 42, 186, 22, 166, 43, 187, 63, 207, 98, 242, 81, 225, 51, 195, 26, 170)(15, 159, 32, 176, 38, 182, 65, 209, 97, 241, 85, 229, 55, 199, 29, 173, 41, 185, 19, 163, 39, 183, 31, 175)(25, 169, 47, 191, 64, 208, 46, 190, 71, 215, 45, 189, 72, 216, 44, 188, 73, 217, 99, 243, 82, 226, 49, 193)(33, 177, 58, 202, 66, 210, 101, 245, 88, 232, 54, 198, 70, 214, 40, 184, 68, 212, 56, 200, 67, 211, 57, 201)(48, 192, 78, 222, 100, 244, 77, 221, 108, 252, 76, 220, 109, 253, 75, 219, 110, 254, 74, 218, 111, 255, 80, 224)(59, 203, 92, 236, 102, 246, 87, 231, 107, 251, 69, 213, 105, 249, 89, 233, 104, 248, 90, 234, 103, 247, 91, 235)(79, 223, 117, 261, 125, 269, 116, 260, 132, 276, 115, 259, 133, 277, 114, 258, 134, 278, 113, 257, 135, 279, 112, 256)(93, 237, 119, 263, 126, 270, 106, 250, 130, 274, 120, 264, 129, 273, 121, 265, 128, 272, 122, 266, 127, 271, 123, 267)(118, 262, 136, 280, 141, 285, 140, 284, 143, 287, 139, 283, 124, 268, 131, 275, 142, 286, 138, 282, 144, 288, 137, 281)(289, 433)(290, 434)(291, 435)(292, 436)(293, 437)(294, 438)(295, 439)(296, 440)(297, 441)(298, 442)(299, 443)(300, 444)(301, 445)(302, 446)(303, 447)(304, 448)(305, 449)(306, 450)(307, 451)(308, 452)(309, 453)(310, 454)(311, 455)(312, 456)(313, 457)(314, 458)(315, 459)(316, 460)(317, 461)(318, 462)(319, 463)(320, 464)(321, 465)(322, 466)(323, 467)(324, 468)(325, 469)(326, 470)(327, 471)(328, 472)(329, 473)(330, 474)(331, 475)(332, 476)(333, 477)(334, 478)(335, 479)(336, 480)(337, 481)(338, 482)(339, 483)(340, 484)(341, 485)(342, 486)(343, 487)(344, 488)(345, 489)(346, 490)(347, 491)(348, 492)(349, 493)(350, 494)(351, 495)(352, 496)(353, 497)(354, 498)(355, 499)(356, 500)(357, 501)(358, 502)(359, 503)(360, 504)(361, 505)(362, 506)(363, 507)(364, 508)(365, 509)(366, 510)(367, 511)(368, 512)(369, 513)(370, 514)(371, 515)(372, 516)(373, 517)(374, 518)(375, 519)(376, 520)(377, 521)(378, 522)(379, 523)(380, 524)(381, 525)(382, 526)(383, 527)(384, 528)(385, 529)(386, 530)(387, 531)(388, 532)(389, 533)(390, 534)(391, 535)(392, 536)(393, 537)(394, 538)(395, 539)(396, 540)(397, 541)(398, 542)(399, 543)(400, 544)(401, 545)(402, 546)(403, 547)(404, 548)(405, 549)(406, 550)(407, 551)(408, 552)(409, 553)(410, 554)(411, 555)(412, 556)(413, 557)(414, 558)(415, 559)(416, 560)(417, 561)(418, 562)(419, 563)(420, 564)(421, 565)(422, 566)(423, 567)(424, 568)(425, 569)(426, 570)(427, 571)(428, 572)(429, 573)(430, 574)(431, 575)(432, 576)
	L = (1, 291)(2, 295)(3, 298)(4, 300)(5, 289)(6, 305)(7, 307)(8, 290)(9, 292)(10, 313)(11, 315)(12, 317)(13, 316)(14, 319)(15, 293)(16, 302)(17, 324)(18, 294)(19, 328)(20, 301)(21, 330)(22, 296)(23, 297)(24, 299)(25, 336)(26, 338)(27, 340)(28, 339)(29, 342)(30, 341)(31, 344)(32, 345)(33, 303)(34, 309)(35, 304)(36, 352)(37, 320)(38, 306)(39, 308)(40, 357)(41, 318)(42, 359)(43, 360)(44, 310)(45, 311)(46, 312)(47, 314)(48, 367)(49, 369)(50, 371)(51, 370)(52, 373)(53, 372)(54, 375)(55, 374)(56, 377)(57, 378)(58, 379)(59, 321)(60, 325)(61, 322)(62, 331)(63, 323)(64, 388)(65, 346)(66, 326)(67, 327)(68, 329)(69, 394)(70, 343)(71, 396)(72, 397)(73, 398)(74, 332)(75, 333)(76, 334)(77, 335)(78, 337)(79, 406)(80, 387)(81, 383)(82, 399)(83, 384)(84, 386)(85, 389)(86, 382)(87, 407)(88, 385)(89, 408)(90, 409)(91, 410)(92, 411)(93, 347)(94, 350)(95, 348)(96, 353)(97, 349)(98, 361)(99, 351)(100, 413)(101, 380)(102, 354)(103, 355)(104, 356)(105, 358)(106, 419)(107, 376)(108, 420)(109, 421)(110, 422)(111, 423)(112, 362)(113, 363)(114, 364)(115, 365)(116, 366)(117, 368)(118, 417)(119, 427)(120, 426)(121, 425)(122, 424)(123, 428)(124, 381)(125, 429)(126, 390)(127, 391)(128, 392)(129, 393)(130, 395)(131, 403)(132, 431)(133, 412)(134, 430)(135, 432)(136, 400)(137, 401)(138, 402)(139, 404)(140, 405)(141, 416)(142, 414)(143, 415)(144, 418)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E28.2644
Graph:: simple bipartite
	v = 156 e = 288 f = 78
	degree seq :: [ 2^144, 24^12 ]

E28.2647 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 24})
Quotient :: dipole
Aut^+ = (C3 x (C3 : Q8)) : C2 (small group id <144, 60>)
Aut   = $<288, 442>$ (small group id <288, 442>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y1^12, Y1^-1 * Y3^-1 * Y1^4 * Y3^-11 * Y1^-1, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 145, 2, 146, 6, 150, 14, 158, 26, 170, 42, 186, 62, 206, 60, 204, 40, 184, 24, 168, 12, 156, 4, 148)(3, 147, 9, 153, 19, 163, 33, 177, 51, 195, 73, 217, 85, 229, 64, 208, 43, 187, 28, 172, 15, 159, 8, 152)(5, 149, 11, 155, 22, 166, 37, 181, 56, 200, 79, 223, 86, 230, 63, 207, 44, 188, 27, 171, 16, 160, 7, 151)(10, 154, 18, 162, 29, 173, 46, 190, 65, 209, 88, 232, 109, 253, 97, 241, 74, 218, 52, 196, 34, 178, 20, 164)(13, 157, 17, 161, 30, 174, 45, 189, 66, 210, 87, 231, 110, 254, 103, 247, 80, 224, 57, 201, 38, 182, 23, 167)(21, 165, 35, 179, 53, 197, 75, 219, 98, 242, 121, 265, 133, 277, 112, 256, 89, 233, 68, 212, 47, 191, 32, 176)(25, 169, 39, 183, 58, 202, 81, 225, 104, 248, 127, 271, 134, 278, 111, 255, 90, 234, 67, 211, 48, 192, 31, 175)(36, 180, 50, 194, 69, 213, 92, 236, 113, 257, 136, 280, 132, 276, 143, 287, 122, 266, 99, 243, 76, 220, 54, 198)(41, 185, 49, 193, 70, 214, 91, 235, 114, 258, 135, 279, 126, 270, 144, 288, 128, 272, 105, 249, 82, 226, 59, 203)(55, 199, 77, 221, 100, 244, 123, 267, 142, 286, 119, 263, 108, 252, 131, 275, 137, 281, 116, 260, 93, 237, 72, 216)(61, 205, 83, 227, 106, 250, 129, 273, 141, 285, 120, 264, 102, 246, 125, 269, 138, 282, 115, 259, 94, 238, 71, 215)(78, 222, 96, 240, 117, 261, 140, 284, 130, 274, 107, 251, 84, 228, 95, 239, 118, 262, 139, 283, 124, 268, 101, 245)(289, 433)(290, 434)(291, 435)(292, 436)(293, 437)(294, 438)(295, 439)(296, 440)(297, 441)(298, 442)(299, 443)(300, 444)(301, 445)(302, 446)(303, 447)(304, 448)(305, 449)(306, 450)(307, 451)(308, 452)(309, 453)(310, 454)(311, 455)(312, 456)(313, 457)(314, 458)(315, 459)(316, 460)(317, 461)(318, 462)(319, 463)(320, 464)(321, 465)(322, 466)(323, 467)(324, 468)(325, 469)(326, 470)(327, 471)(328, 472)(329, 473)(330, 474)(331, 475)(332, 476)(333, 477)(334, 478)(335, 479)(336, 480)(337, 481)(338, 482)(339, 483)(340, 484)(341, 485)(342, 486)(343, 487)(344, 488)(345, 489)(346, 490)(347, 491)(348, 492)(349, 493)(350, 494)(351, 495)(352, 496)(353, 497)(354, 498)(355, 499)(356, 500)(357, 501)(358, 502)(359, 503)(360, 504)(361, 505)(362, 506)(363, 507)(364, 508)(365, 509)(366, 510)(367, 511)(368, 512)(369, 513)(370, 514)(371, 515)(372, 516)(373, 517)(374, 518)(375, 519)(376, 520)(377, 521)(378, 522)(379, 523)(380, 524)(381, 525)(382, 526)(383, 527)(384, 528)(385, 529)(386, 530)(387, 531)(388, 532)(389, 533)(390, 534)(391, 535)(392, 536)(393, 537)(394, 538)(395, 539)(396, 540)(397, 541)(398, 542)(399, 543)(400, 544)(401, 545)(402, 546)(403, 547)(404, 548)(405, 549)(406, 550)(407, 551)(408, 552)(409, 553)(410, 554)(411, 555)(412, 556)(413, 557)(414, 558)(415, 559)(416, 560)(417, 561)(418, 562)(419, 563)(420, 564)(421, 565)(422, 566)(423, 567)(424, 568)(425, 569)(426, 570)(427, 571)(428, 572)(429, 573)(430, 574)(431, 575)(432, 576)
	L = (1, 291)(2, 295)(3, 298)(4, 299)(5, 289)(6, 303)(7, 305)(8, 290)(9, 292)(10, 309)(11, 311)(12, 307)(13, 293)(14, 315)(15, 317)(16, 294)(17, 319)(18, 296)(19, 322)(20, 297)(21, 324)(22, 300)(23, 327)(24, 325)(25, 301)(26, 331)(27, 333)(28, 302)(29, 335)(30, 304)(31, 337)(32, 306)(33, 312)(34, 341)(35, 308)(36, 343)(37, 345)(38, 310)(39, 347)(40, 339)(41, 313)(42, 351)(43, 353)(44, 314)(45, 355)(46, 316)(47, 357)(48, 318)(49, 359)(50, 320)(51, 362)(52, 321)(53, 364)(54, 323)(55, 366)(56, 328)(57, 369)(58, 326)(59, 371)(60, 367)(61, 329)(62, 373)(63, 375)(64, 330)(65, 377)(66, 332)(67, 379)(68, 334)(69, 381)(70, 336)(71, 383)(72, 338)(73, 348)(74, 386)(75, 340)(76, 388)(77, 342)(78, 390)(79, 391)(80, 344)(81, 393)(82, 346)(83, 395)(84, 349)(85, 397)(86, 350)(87, 399)(88, 352)(89, 401)(90, 354)(91, 403)(92, 356)(93, 405)(94, 358)(95, 407)(96, 360)(97, 361)(98, 410)(99, 363)(100, 412)(101, 365)(102, 414)(103, 415)(104, 368)(105, 417)(106, 370)(107, 419)(108, 372)(109, 421)(110, 374)(111, 423)(112, 376)(113, 425)(114, 378)(115, 427)(116, 380)(117, 429)(118, 382)(119, 431)(120, 384)(121, 385)(122, 430)(123, 387)(124, 426)(125, 389)(126, 422)(127, 432)(128, 392)(129, 428)(130, 394)(131, 424)(132, 396)(133, 420)(134, 398)(135, 413)(136, 400)(137, 418)(138, 402)(139, 411)(140, 404)(141, 416)(142, 406)(143, 409)(144, 408)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E28.2645
Graph:: simple bipartite
	v = 156 e = 288 f = 78
	degree seq :: [ 2^144, 24^12 ]

E28.2648 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 12, 24})
Quotient :: regular
Aut^+ = C3 x ((C3 x Q8) : C2) (small group id <144, 82>)
Aut   = $<288, 589>$ (small group id <288, 589>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1^2, T2 * T1^4 * T2 * T1^-4, T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-3, (T1^-5 * T2 * T1^-1)^2 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 47, 80, 117, 106, 71, 37, 61, 90, 64, 32, 56, 87, 123, 116, 79, 46, 22, 10, 4)(3, 7, 15, 31, 48, 82, 120, 114, 77, 44, 21, 43, 54, 26, 12, 25, 51, 86, 118, 108, 73, 38, 18, 8)(6, 13, 27, 55, 81, 119, 113, 76, 42, 20, 9, 19, 39, 50, 24, 49, 83, 122, 115, 78, 45, 62, 30, 14)(16, 33, 52, 88, 121, 142, 139, 105, 70, 36, 17, 35, 53, 89, 63, 97, 126, 144, 140, 107, 72, 102, 67, 34)(28, 57, 84, 124, 141, 137, 111, 75, 41, 60, 29, 59, 85, 125, 91, 129, 143, 138, 112, 136, 96, 74, 40, 58)(65, 98, 135, 95, 133, 93, 132, 104, 69, 101, 66, 100, 128, 110, 127, 109, 134, 94, 131, 92, 130, 103, 68, 99)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 48)(25, 52)(26, 53)(27, 56)(30, 61)(31, 63)(33, 65)(34, 66)(35, 68)(36, 69)(38, 72)(39, 64)(42, 71)(43, 67)(44, 70)(46, 73)(47, 81)(49, 84)(50, 85)(51, 87)(54, 90)(55, 91)(57, 92)(58, 93)(59, 94)(60, 95)(62, 96)(74, 109)(75, 110)(76, 112)(77, 106)(78, 111)(79, 113)(80, 118)(82, 121)(83, 123)(86, 126)(88, 127)(89, 128)(97, 135)(98, 136)(99, 137)(100, 138)(101, 124)(102, 130)(103, 129)(104, 125)(105, 131)(107, 132)(108, 139)(114, 140)(115, 117)(116, 120)(119, 141)(122, 143)(133, 142)(134, 144)
	local type(s) :: { ( 12^24 ) }
Outer automorphisms :: reflexible
Dual of E28.2649
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 6 e = 72 f = 12
	degree seq :: [ 24^6 ]

E28.2649 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 12, 24})
Quotient :: regular
Aut^+ = C3 x ((C3 x Q8) : C2) (small group id <144, 82>)
Aut   = $<288, 589>$ (small group id <288, 589>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1^-2 * T2 * T1 * T2 * T1^2 * T2 * T1^-1, T2 * T1^-1 * T2 * T1^-3 * T2 * T1 * T2 * T1^-3, T1^12, (T1^-1 * T2)^24 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 47, 85, 84, 46, 22, 10, 4)(3, 7, 15, 31, 63, 104, 120, 102, 74, 38, 18, 8)(6, 13, 27, 55, 99, 69, 110, 66, 106, 62, 30, 14)(9, 19, 39, 75, 112, 70, 86, 67, 111, 78, 42, 20)(12, 25, 51, 93, 127, 103, 83, 101, 130, 98, 54, 26)(16, 33, 52, 95, 76, 40, 58, 28, 57, 90, 68, 34)(17, 35, 53, 96, 77, 41, 60, 29, 59, 91, 71, 36)(21, 43, 79, 116, 122, 88, 48, 87, 121, 117, 80, 44)(24, 49, 89, 123, 119, 82, 45, 81, 118, 126, 92, 50)(32, 56, 94, 124, 139, 136, 115, 132, 144, 135, 109, 65)(37, 61, 97, 125, 140, 133, 107, 131, 143, 137, 113, 72)(64, 105, 128, 142, 138, 114, 73, 100, 129, 141, 134, 108)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 48)(25, 52)(26, 53)(27, 56)(30, 61)(31, 64)(33, 66)(34, 67)(35, 69)(36, 70)(38, 73)(39, 65)(42, 72)(43, 68)(44, 71)(46, 83)(47, 86)(49, 90)(50, 91)(51, 94)(54, 97)(55, 100)(57, 101)(58, 102)(59, 103)(60, 104)(62, 105)(63, 107)(74, 115)(75, 114)(76, 87)(77, 88)(78, 108)(79, 109)(80, 113)(81, 95)(82, 96)(84, 110)(85, 120)(89, 124)(92, 125)(93, 128)(98, 129)(99, 131)(106, 132)(111, 136)(112, 133)(116, 134)(117, 138)(118, 135)(119, 137)(121, 139)(122, 140)(123, 141)(126, 142)(127, 143)(130, 144)
	local type(s) :: { ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2648
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 12 e = 72 f = 6
	degree seq :: [ 12^12 ]

E28.2650 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 12, 24})
Quotient :: edge
Aut^+ = C3 x ((C3 x Q8) : C2) (small group id <144, 82>)
Aut   = $<288, 589>$ (small group id <288, 589>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2 * T1 * T2^2 * T1 * T2^-1 * T1 * T2^-1, T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-4, T2^12, T2^3 * T1 * T2^-3 * T1 * T2^-3 * T1 * T2^-3 * T1, (T2^4 * T1 * T2^-2 * T1)^6 ]
Map::
	R = (1, 3, 8, 18, 38, 74, 115, 84, 46, 22, 10, 4)(2, 5, 12, 26, 54, 96, 128, 106, 62, 30, 14, 6)(7, 15, 32, 65, 97, 55, 86, 47, 85, 68, 34, 16)(9, 19, 40, 76, 99, 57, 89, 49, 88, 78, 42, 20)(11, 23, 48, 87, 75, 39, 64, 31, 63, 90, 50, 24)(13, 27, 56, 98, 77, 41, 67, 33, 66, 100, 58, 28)(17, 35, 69, 109, 134, 108, 83, 107, 133, 110, 70, 36)(21, 43, 79, 116, 138, 114, 73, 113, 137, 117, 80, 44)(25, 51, 91, 122, 140, 121, 105, 120, 139, 123, 92, 52)(29, 59, 101, 129, 144, 127, 95, 126, 143, 130, 102, 60)(37, 71, 111, 135, 119, 82, 45, 81, 118, 136, 112, 72)(53, 93, 124, 141, 132, 104, 61, 103, 131, 142, 125, 94)(145, 146)(147, 151)(148, 153)(149, 155)(150, 157)(152, 161)(154, 165)(156, 169)(158, 173)(159, 175)(160, 177)(162, 181)(163, 183)(164, 185)(166, 189)(167, 191)(168, 193)(170, 197)(171, 199)(172, 201)(174, 205)(176, 195)(178, 203)(179, 192)(180, 200)(182, 217)(184, 196)(186, 204)(187, 194)(188, 202)(190, 227)(198, 239)(206, 249)(207, 251)(208, 250)(209, 247)(210, 252)(211, 240)(212, 237)(213, 235)(214, 245)(215, 234)(216, 244)(218, 233)(219, 257)(220, 248)(221, 258)(222, 238)(223, 236)(224, 246)(225, 231)(226, 242)(228, 230)(229, 264)(232, 265)(241, 270)(243, 271)(253, 268)(254, 275)(255, 266)(256, 273)(259, 272)(260, 269)(261, 276)(262, 267)(263, 274)(277, 283)(278, 287)(279, 286)(280, 285)(281, 284)(282, 288)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 48, 48 ), ( 48^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2654
Transitivity :: ET+
Graph:: simple bipartite
	v = 84 e = 144 f = 6
	degree seq :: [ 2^72, 12^12 ]

E28.2651 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 12, 24})
Quotient :: edge
Aut^+ = C3 x ((C3 x Q8) : C2) (small group id <144, 82>)
Aut   = $<288, 589>$ (small group id <288, 589>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (F * T1)^2, (F * T2)^2, T2^-1 * T1^-2 * T2^2 * T1^2 * T2^-1, T2^2 * T1 * T2^-2 * T1^5, T2 * T1^3 * T2^2 * T1^-1 * T2 * T1^2, T1^-2 * T2^2 * T1^-1 * T2^-2 * T1^-3, T2 * T1^5 * T2^-3 * T1^-1, T2^2 * T1^-1 * T2^2 * T1^-1 * T2 * T1^-3 * T2 * T1^-1, T2^24 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 26, 63, 114, 137, 95, 54, 21, 53, 107, 128, 100, 49, 32, 68, 119, 144, 109, 83, 39, 15, 5)(2, 7, 19, 48, 101, 64, 116, 133, 96, 45, 38, 81, 113, 61, 25, 11, 28, 67, 120, 138, 110, 56, 22, 8)(4, 12, 31, 73, 115, 132, 106, 52, 37, 14, 36, 80, 84, 62, 27, 65, 118, 136, 127, 82, 112, 60, 24, 9)(6, 17, 43, 92, 135, 102, 140, 121, 134, 89, 55, 108, 77, 99, 47, 20, 50, 29, 69, 117, 139, 98, 46, 18)(13, 33, 66, 88, 131, 94, 79, 35, 59, 23, 58, 86, 40, 85, 74, 125, 143, 105, 141, 104, 142, 124, 72, 30)(16, 41, 87, 130, 126, 78, 122, 70, 123, 129, 97, 75, 34, 76, 91, 44, 93, 51, 103, 57, 111, 71, 90, 42)(145, 146, 150, 160, 184, 228, 272, 257, 221, 178, 157, 148)(147, 153, 167, 201, 246, 192, 244, 224, 268, 214, 173, 155)(149, 158, 179, 222, 236, 205, 251, 204, 248, 195, 164, 151)(152, 165, 196, 249, 274, 243, 225, 183, 226, 238, 188, 161)(154, 169, 187, 235, 218, 175, 193, 163, 191, 231, 210, 171)(156, 174, 215, 261, 208, 170, 206, 230, 273, 265, 211, 176)(159, 182, 190, 241, 202, 168, 197, 166, 199, 234, 216, 180)(162, 189, 239, 280, 269, 220, 252, 200, 253, 276, 232, 185)(172, 194, 237, 275, 259, 207, 245, 279, 270, 287, 262, 212)(177, 219, 242, 282, 258, 217, 229, 186, 233, 277, 263, 209)(181, 198, 240, 278, 267, 286, 256, 227, 254, 283, 255, 203)(213, 266, 223, 271, 281, 264, 284, 247, 285, 250, 288, 260)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4^12 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E28.2655
Transitivity :: ET+
Graph:: bipartite
	v = 18 e = 144 f = 72
	degree seq :: [ 12^12, 24^6 ]

E28.2652 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 12, 24})
Quotient :: edge
Aut^+ = C3 x ((C3 x Q8) : C2) (small group id <144, 82>)
Aut   = $<288, 589>$ (small group id <288, 589>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^-2, T2 * T1^4 * T2 * T1^-4, (T1^-5 * T2 * T1^-1)^2, T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-3 * T2 * T1^-1 ]
Map::
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 48)(25, 52)(26, 53)(27, 56)(30, 61)(31, 63)(33, 65)(34, 66)(35, 68)(36, 69)(38, 72)(39, 64)(42, 71)(43, 67)(44, 70)(46, 73)(47, 81)(49, 84)(50, 85)(51, 87)(54, 90)(55, 91)(57, 92)(58, 93)(59, 94)(60, 95)(62, 96)(74, 109)(75, 110)(76, 112)(77, 106)(78, 111)(79, 113)(80, 118)(82, 121)(83, 123)(86, 126)(88, 127)(89, 128)(97, 135)(98, 136)(99, 137)(100, 138)(101, 124)(102, 130)(103, 129)(104, 125)(105, 131)(107, 132)(108, 139)(114, 140)(115, 117)(116, 120)(119, 141)(122, 143)(133, 142)(134, 144)(145, 146, 149, 155, 167, 191, 224, 261, 250, 215, 181, 205, 234, 208, 176, 200, 231, 267, 260, 223, 190, 166, 154, 148)(147, 151, 159, 175, 192, 226, 264, 258, 221, 188, 165, 187, 198, 170, 156, 169, 195, 230, 262, 252, 217, 182, 162, 152)(150, 157, 171, 199, 225, 263, 257, 220, 186, 164, 153, 163, 183, 194, 168, 193, 227, 266, 259, 222, 189, 206, 174, 158)(160, 177, 196, 232, 265, 286, 283, 249, 214, 180, 161, 179, 197, 233, 207, 241, 270, 288, 284, 251, 216, 246, 211, 178)(172, 201, 228, 268, 285, 281, 255, 219, 185, 204, 173, 203, 229, 269, 235, 273, 287, 282, 256, 280, 240, 218, 184, 202)(209, 242, 279, 239, 277, 237, 276, 248, 213, 245, 210, 244, 272, 254, 271, 253, 278, 238, 275, 236, 274, 247, 212, 243)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 24, 24 ), ( 24^24 ) }
Outer automorphisms :: reflexible
Dual of E28.2653
Transitivity :: ET+
Graph:: simple bipartite
	v = 78 e = 144 f = 12
	degree seq :: [ 2^72, 24^6 ]

E28.2653 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 12, 24})
Quotient :: loop
Aut^+ = C3 x ((C3 x Q8) : C2) (small group id <144, 82>)
Aut   = $<288, 589>$ (small group id <288, 589>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2 * T1 * T2^2 * T1 * T2^-1 * T1 * T2^-1, T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-4, T2^12, T2^3 * T1 * T2^-3 * T1 * T2^-3 * T1 * T2^-3 * T1, (T2^4 * T1 * T2^-2 * T1)^6 ]
Map::
	R = (1, 145, 3, 147, 8, 152, 18, 162, 38, 182, 74, 218, 115, 259, 84, 228, 46, 190, 22, 166, 10, 154, 4, 148)(2, 146, 5, 149, 12, 156, 26, 170, 54, 198, 96, 240, 128, 272, 106, 250, 62, 206, 30, 174, 14, 158, 6, 150)(7, 151, 15, 159, 32, 176, 65, 209, 97, 241, 55, 199, 86, 230, 47, 191, 85, 229, 68, 212, 34, 178, 16, 160)(9, 153, 19, 163, 40, 184, 76, 220, 99, 243, 57, 201, 89, 233, 49, 193, 88, 232, 78, 222, 42, 186, 20, 164)(11, 155, 23, 167, 48, 192, 87, 231, 75, 219, 39, 183, 64, 208, 31, 175, 63, 207, 90, 234, 50, 194, 24, 168)(13, 157, 27, 171, 56, 200, 98, 242, 77, 221, 41, 185, 67, 211, 33, 177, 66, 210, 100, 244, 58, 202, 28, 172)(17, 161, 35, 179, 69, 213, 109, 253, 134, 278, 108, 252, 83, 227, 107, 251, 133, 277, 110, 254, 70, 214, 36, 180)(21, 165, 43, 187, 79, 223, 116, 260, 138, 282, 114, 258, 73, 217, 113, 257, 137, 281, 117, 261, 80, 224, 44, 188)(25, 169, 51, 195, 91, 235, 122, 266, 140, 284, 121, 265, 105, 249, 120, 264, 139, 283, 123, 267, 92, 236, 52, 196)(29, 173, 59, 203, 101, 245, 129, 273, 144, 288, 127, 271, 95, 239, 126, 270, 143, 287, 130, 274, 102, 246, 60, 204)(37, 181, 71, 215, 111, 255, 135, 279, 119, 263, 82, 226, 45, 189, 81, 225, 118, 262, 136, 280, 112, 256, 72, 216)(53, 197, 93, 237, 124, 268, 141, 285, 132, 276, 104, 248, 61, 205, 103, 247, 131, 275, 142, 286, 125, 269, 94, 238)
	L = (1, 146)(2, 145)(3, 151)(4, 153)(5, 155)(6, 157)(7, 147)(8, 161)(9, 148)(10, 165)(11, 149)(12, 169)(13, 150)(14, 173)(15, 175)(16, 177)(17, 152)(18, 181)(19, 183)(20, 185)(21, 154)(22, 189)(23, 191)(24, 193)(25, 156)(26, 197)(27, 199)(28, 201)(29, 158)(30, 205)(31, 159)(32, 195)(33, 160)(34, 203)(35, 192)(36, 200)(37, 162)(38, 217)(39, 163)(40, 196)(41, 164)(42, 204)(43, 194)(44, 202)(45, 166)(46, 227)(47, 167)(48, 179)(49, 168)(50, 187)(51, 176)(52, 184)(53, 170)(54, 239)(55, 171)(56, 180)(57, 172)(58, 188)(59, 178)(60, 186)(61, 174)(62, 249)(63, 251)(64, 250)(65, 247)(66, 252)(67, 240)(68, 237)(69, 235)(70, 245)(71, 234)(72, 244)(73, 182)(74, 233)(75, 257)(76, 248)(77, 258)(78, 238)(79, 236)(80, 246)(81, 231)(82, 242)(83, 190)(84, 230)(85, 264)(86, 228)(87, 225)(88, 265)(89, 218)(90, 215)(91, 213)(92, 223)(93, 212)(94, 222)(95, 198)(96, 211)(97, 270)(98, 226)(99, 271)(100, 216)(101, 214)(102, 224)(103, 209)(104, 220)(105, 206)(106, 208)(107, 207)(108, 210)(109, 268)(110, 275)(111, 266)(112, 273)(113, 219)(114, 221)(115, 272)(116, 269)(117, 276)(118, 267)(119, 274)(120, 229)(121, 232)(122, 255)(123, 262)(124, 253)(125, 260)(126, 241)(127, 243)(128, 259)(129, 256)(130, 263)(131, 254)(132, 261)(133, 283)(134, 287)(135, 286)(136, 285)(137, 284)(138, 288)(139, 277)(140, 281)(141, 280)(142, 279)(143, 278)(144, 282)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.2652
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 12 e = 144 f = 78
	degree seq :: [ 24^12 ]

E28.2654 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 12, 24})
Quotient :: loop
Aut^+ = C3 x ((C3 x Q8) : C2) (small group id <144, 82>)
Aut   = $<288, 589>$ (small group id <288, 589>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (F * T1)^2, (F * T2)^2, T2^-1 * T1^-2 * T2^2 * T1^2 * T2^-1, T2^2 * T1 * T2^-2 * T1^5, T2 * T1^3 * T2^2 * T1^-1 * T2 * T1^2, T1^-2 * T2^2 * T1^-1 * T2^-2 * T1^-3, T2 * T1^5 * T2^-3 * T1^-1, T2^2 * T1^-1 * T2^2 * T1^-1 * T2 * T1^-3 * T2 * T1^-1, T2^24 ]
Map::
	R = (1, 145, 3, 147, 10, 154, 26, 170, 63, 207, 114, 258, 137, 281, 95, 239, 54, 198, 21, 165, 53, 197, 107, 251, 128, 272, 100, 244, 49, 193, 32, 176, 68, 212, 119, 263, 144, 288, 109, 253, 83, 227, 39, 183, 15, 159, 5, 149)(2, 146, 7, 151, 19, 163, 48, 192, 101, 245, 64, 208, 116, 260, 133, 277, 96, 240, 45, 189, 38, 182, 81, 225, 113, 257, 61, 205, 25, 169, 11, 155, 28, 172, 67, 211, 120, 264, 138, 282, 110, 254, 56, 200, 22, 166, 8, 152)(4, 148, 12, 156, 31, 175, 73, 217, 115, 259, 132, 276, 106, 250, 52, 196, 37, 181, 14, 158, 36, 180, 80, 224, 84, 228, 62, 206, 27, 171, 65, 209, 118, 262, 136, 280, 127, 271, 82, 226, 112, 256, 60, 204, 24, 168, 9, 153)(6, 150, 17, 161, 43, 187, 92, 236, 135, 279, 102, 246, 140, 284, 121, 265, 134, 278, 89, 233, 55, 199, 108, 252, 77, 221, 99, 243, 47, 191, 20, 164, 50, 194, 29, 173, 69, 213, 117, 261, 139, 283, 98, 242, 46, 190, 18, 162)(13, 157, 33, 177, 66, 210, 88, 232, 131, 275, 94, 238, 79, 223, 35, 179, 59, 203, 23, 167, 58, 202, 86, 230, 40, 184, 85, 229, 74, 218, 125, 269, 143, 287, 105, 249, 141, 285, 104, 248, 142, 286, 124, 268, 72, 216, 30, 174)(16, 160, 41, 185, 87, 231, 130, 274, 126, 270, 78, 222, 122, 266, 70, 214, 123, 267, 129, 273, 97, 241, 75, 219, 34, 178, 76, 220, 91, 235, 44, 188, 93, 237, 51, 195, 103, 247, 57, 201, 111, 255, 71, 215, 90, 234, 42, 186)
	L = (1, 146)(2, 150)(3, 153)(4, 145)(5, 158)(6, 160)(7, 149)(8, 165)(9, 167)(10, 169)(11, 147)(12, 174)(13, 148)(14, 179)(15, 182)(16, 184)(17, 152)(18, 189)(19, 191)(20, 151)(21, 196)(22, 199)(23, 201)(24, 197)(25, 187)(26, 206)(27, 154)(28, 194)(29, 155)(30, 215)(31, 193)(32, 156)(33, 219)(34, 157)(35, 222)(36, 159)(37, 198)(38, 190)(39, 226)(40, 228)(41, 162)(42, 233)(43, 235)(44, 161)(45, 239)(46, 241)(47, 231)(48, 244)(49, 163)(50, 237)(51, 164)(52, 249)(53, 166)(54, 240)(55, 234)(56, 253)(57, 246)(58, 168)(59, 181)(60, 248)(61, 251)(62, 230)(63, 245)(64, 170)(65, 177)(66, 171)(67, 176)(68, 172)(69, 266)(70, 173)(71, 261)(72, 180)(73, 229)(74, 175)(75, 242)(76, 252)(77, 178)(78, 236)(79, 271)(80, 268)(81, 183)(82, 238)(83, 254)(84, 272)(85, 186)(86, 273)(87, 210)(88, 185)(89, 277)(90, 216)(91, 218)(92, 205)(93, 275)(94, 188)(95, 280)(96, 278)(97, 202)(98, 282)(99, 225)(100, 224)(101, 279)(102, 192)(103, 285)(104, 195)(105, 274)(106, 288)(107, 204)(108, 200)(109, 276)(110, 283)(111, 203)(112, 227)(113, 221)(114, 217)(115, 207)(116, 213)(117, 208)(118, 212)(119, 209)(120, 284)(121, 211)(122, 223)(123, 286)(124, 214)(125, 220)(126, 287)(127, 281)(128, 257)(129, 265)(130, 243)(131, 259)(132, 232)(133, 263)(134, 267)(135, 270)(136, 269)(137, 264)(138, 258)(139, 255)(140, 247)(141, 250)(142, 256)(143, 262)(144, 260)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2650
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 144 f = 84
	degree seq :: [ 48^6 ]

E28.2655 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 12, 24})
Quotient :: loop
Aut^+ = C3 x ((C3 x Q8) : C2) (small group id <144, 82>)
Aut   = $<288, 589>$ (small group id <288, 589>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^-2, T2 * T1^4 * T2 * T1^-4, (T1^-5 * T2 * T1^-1)^2, T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-3 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 145, 3, 147)(2, 146, 6, 150)(4, 148, 9, 153)(5, 149, 12, 156)(7, 151, 16, 160)(8, 152, 17, 161)(10, 154, 21, 165)(11, 155, 24, 168)(13, 157, 28, 172)(14, 158, 29, 173)(15, 159, 32, 176)(18, 162, 37, 181)(19, 163, 40, 184)(20, 164, 41, 185)(22, 166, 45, 189)(23, 167, 48, 192)(25, 169, 52, 196)(26, 170, 53, 197)(27, 171, 56, 200)(30, 174, 61, 205)(31, 175, 63, 207)(33, 177, 65, 209)(34, 178, 66, 210)(35, 179, 68, 212)(36, 180, 69, 213)(38, 182, 72, 216)(39, 183, 64, 208)(42, 186, 71, 215)(43, 187, 67, 211)(44, 188, 70, 214)(46, 190, 73, 217)(47, 191, 81, 225)(49, 193, 84, 228)(50, 194, 85, 229)(51, 195, 87, 231)(54, 198, 90, 234)(55, 199, 91, 235)(57, 201, 92, 236)(58, 202, 93, 237)(59, 203, 94, 238)(60, 204, 95, 239)(62, 206, 96, 240)(74, 218, 109, 253)(75, 219, 110, 254)(76, 220, 112, 256)(77, 221, 106, 250)(78, 222, 111, 255)(79, 223, 113, 257)(80, 224, 118, 262)(82, 226, 121, 265)(83, 227, 123, 267)(86, 230, 126, 270)(88, 232, 127, 271)(89, 233, 128, 272)(97, 241, 135, 279)(98, 242, 136, 280)(99, 243, 137, 281)(100, 244, 138, 282)(101, 245, 124, 268)(102, 246, 130, 274)(103, 247, 129, 273)(104, 248, 125, 269)(105, 249, 131, 275)(107, 251, 132, 276)(108, 252, 139, 283)(114, 258, 140, 284)(115, 259, 117, 261)(116, 260, 120, 264)(119, 263, 141, 285)(122, 266, 143, 287)(133, 277, 142, 286)(134, 278, 144, 288)
	L = (1, 146)(2, 149)(3, 151)(4, 145)(5, 155)(6, 157)(7, 159)(8, 147)(9, 163)(10, 148)(11, 167)(12, 169)(13, 171)(14, 150)(15, 175)(16, 177)(17, 179)(18, 152)(19, 183)(20, 153)(21, 187)(22, 154)(23, 191)(24, 193)(25, 195)(26, 156)(27, 199)(28, 201)(29, 203)(30, 158)(31, 192)(32, 200)(33, 196)(34, 160)(35, 197)(36, 161)(37, 205)(38, 162)(39, 194)(40, 202)(41, 204)(42, 164)(43, 198)(44, 165)(45, 206)(46, 166)(47, 224)(48, 226)(49, 227)(50, 168)(51, 230)(52, 232)(53, 233)(54, 170)(55, 225)(56, 231)(57, 228)(58, 172)(59, 229)(60, 173)(61, 234)(62, 174)(63, 241)(64, 176)(65, 242)(66, 244)(67, 178)(68, 243)(69, 245)(70, 180)(71, 181)(72, 246)(73, 182)(74, 184)(75, 185)(76, 186)(77, 188)(78, 189)(79, 190)(80, 261)(81, 263)(82, 264)(83, 266)(84, 268)(85, 269)(86, 262)(87, 267)(88, 265)(89, 207)(90, 208)(91, 273)(92, 274)(93, 276)(94, 275)(95, 277)(96, 218)(97, 270)(98, 279)(99, 209)(100, 272)(101, 210)(102, 211)(103, 212)(104, 213)(105, 214)(106, 215)(107, 216)(108, 217)(109, 278)(110, 271)(111, 219)(112, 280)(113, 220)(114, 221)(115, 222)(116, 223)(117, 250)(118, 252)(119, 257)(120, 258)(121, 286)(122, 259)(123, 260)(124, 285)(125, 235)(126, 288)(127, 253)(128, 254)(129, 287)(130, 247)(131, 236)(132, 248)(133, 237)(134, 238)(135, 239)(136, 240)(137, 255)(138, 256)(139, 249)(140, 251)(141, 281)(142, 283)(143, 282)(144, 284)
	local type(s) :: { ( 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.2651
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 72 e = 144 f = 18
	degree seq :: [ 4^72 ]

E28.2656 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 24})
Quotient :: dipole
Aut^+ = C3 x ((C3 x Q8) : C2) (small group id <144, 82>)
Aut   = $<288, 589>$ (small group id <288, 589>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2 * Y1 * Y2, Y2^-2 * Y1 * Y2^-1 * Y1 * Y2^-3 * Y1 * Y2 * Y1 * Y2^-1, Y2 * Y1 * Y2^-1 * R * Y2^-5 * R * Y2 * Y1, Y2^12, Y2^2 * Y1 * Y2^-3 * Y1 * Y2^4 * Y1 * Y2^-3 * Y1, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 145, 2, 146)(3, 147, 7, 151)(4, 148, 9, 153)(5, 149, 11, 155)(6, 150, 13, 157)(8, 152, 17, 161)(10, 154, 21, 165)(12, 156, 25, 169)(14, 158, 29, 173)(15, 159, 31, 175)(16, 160, 33, 177)(18, 162, 37, 181)(19, 163, 39, 183)(20, 164, 41, 185)(22, 166, 45, 189)(23, 167, 47, 191)(24, 168, 49, 193)(26, 170, 53, 197)(27, 171, 55, 199)(28, 172, 57, 201)(30, 174, 61, 205)(32, 176, 51, 195)(34, 178, 59, 203)(35, 179, 48, 192)(36, 180, 56, 200)(38, 182, 73, 217)(40, 184, 52, 196)(42, 186, 60, 204)(43, 187, 50, 194)(44, 188, 58, 202)(46, 190, 83, 227)(54, 198, 95, 239)(62, 206, 105, 249)(63, 207, 107, 251)(64, 208, 106, 250)(65, 209, 103, 247)(66, 210, 108, 252)(67, 211, 96, 240)(68, 212, 93, 237)(69, 213, 91, 235)(70, 214, 101, 245)(71, 215, 90, 234)(72, 216, 100, 244)(74, 218, 89, 233)(75, 219, 113, 257)(76, 220, 104, 248)(77, 221, 114, 258)(78, 222, 94, 238)(79, 223, 92, 236)(80, 224, 102, 246)(81, 225, 87, 231)(82, 226, 98, 242)(84, 228, 86, 230)(85, 229, 120, 264)(88, 232, 121, 265)(97, 241, 126, 270)(99, 243, 127, 271)(109, 253, 124, 268)(110, 254, 131, 275)(111, 255, 122, 266)(112, 256, 129, 273)(115, 259, 128, 272)(116, 260, 125, 269)(117, 261, 132, 276)(118, 262, 123, 267)(119, 263, 130, 274)(133, 277, 139, 283)(134, 278, 143, 287)(135, 279, 142, 286)(136, 280, 141, 285)(137, 281, 140, 284)(138, 282, 144, 288)(289, 433, 291, 435, 296, 440, 306, 450, 326, 470, 362, 506, 403, 547, 372, 516, 334, 478, 310, 454, 298, 442, 292, 436)(290, 434, 293, 437, 300, 444, 314, 458, 342, 486, 384, 528, 416, 560, 394, 538, 350, 494, 318, 462, 302, 446, 294, 438)(295, 439, 303, 447, 320, 464, 353, 497, 385, 529, 343, 487, 374, 518, 335, 479, 373, 517, 356, 500, 322, 466, 304, 448)(297, 441, 307, 451, 328, 472, 364, 508, 387, 531, 345, 489, 377, 521, 337, 481, 376, 520, 366, 510, 330, 474, 308, 452)(299, 443, 311, 455, 336, 480, 375, 519, 363, 507, 327, 471, 352, 496, 319, 463, 351, 495, 378, 522, 338, 482, 312, 456)(301, 445, 315, 459, 344, 488, 386, 530, 365, 509, 329, 473, 355, 499, 321, 465, 354, 498, 388, 532, 346, 490, 316, 460)(305, 449, 323, 467, 357, 501, 397, 541, 422, 566, 396, 540, 371, 515, 395, 539, 421, 565, 398, 542, 358, 502, 324, 468)(309, 453, 331, 475, 367, 511, 404, 548, 426, 570, 402, 546, 361, 505, 401, 545, 425, 569, 405, 549, 368, 512, 332, 476)(313, 457, 339, 483, 379, 523, 410, 554, 428, 572, 409, 553, 393, 537, 408, 552, 427, 571, 411, 555, 380, 524, 340, 484)(317, 461, 347, 491, 389, 533, 417, 561, 432, 576, 415, 559, 383, 527, 414, 558, 431, 575, 418, 562, 390, 534, 348, 492)(325, 469, 359, 503, 399, 543, 423, 567, 407, 551, 370, 514, 333, 477, 369, 513, 406, 550, 424, 568, 400, 544, 360, 504)(341, 485, 381, 525, 412, 556, 429, 573, 420, 564, 392, 536, 349, 493, 391, 535, 419, 563, 430, 574, 413, 557, 382, 526)
	L = (1, 290)(2, 289)(3, 295)(4, 297)(5, 299)(6, 301)(7, 291)(8, 305)(9, 292)(10, 309)(11, 293)(12, 313)(13, 294)(14, 317)(15, 319)(16, 321)(17, 296)(18, 325)(19, 327)(20, 329)(21, 298)(22, 333)(23, 335)(24, 337)(25, 300)(26, 341)(27, 343)(28, 345)(29, 302)(30, 349)(31, 303)(32, 339)(33, 304)(34, 347)(35, 336)(36, 344)(37, 306)(38, 361)(39, 307)(40, 340)(41, 308)(42, 348)(43, 338)(44, 346)(45, 310)(46, 371)(47, 311)(48, 323)(49, 312)(50, 331)(51, 320)(52, 328)(53, 314)(54, 383)(55, 315)(56, 324)(57, 316)(58, 332)(59, 322)(60, 330)(61, 318)(62, 393)(63, 395)(64, 394)(65, 391)(66, 396)(67, 384)(68, 381)(69, 379)(70, 389)(71, 378)(72, 388)(73, 326)(74, 377)(75, 401)(76, 392)(77, 402)(78, 382)(79, 380)(80, 390)(81, 375)(82, 386)(83, 334)(84, 374)(85, 408)(86, 372)(87, 369)(88, 409)(89, 362)(90, 359)(91, 357)(92, 367)(93, 356)(94, 366)(95, 342)(96, 355)(97, 414)(98, 370)(99, 415)(100, 360)(101, 358)(102, 368)(103, 353)(104, 364)(105, 350)(106, 352)(107, 351)(108, 354)(109, 412)(110, 419)(111, 410)(112, 417)(113, 363)(114, 365)(115, 416)(116, 413)(117, 420)(118, 411)(119, 418)(120, 373)(121, 376)(122, 399)(123, 406)(124, 397)(125, 404)(126, 385)(127, 387)(128, 403)(129, 400)(130, 407)(131, 398)(132, 405)(133, 427)(134, 431)(135, 430)(136, 429)(137, 428)(138, 432)(139, 421)(140, 425)(141, 424)(142, 423)(143, 422)(144, 426)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 2, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E28.2659
Graph:: bipartite
	v = 84 e = 288 f = 150
	degree seq :: [ 4^72, 24^12 ]

E28.2657 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 24})
Quotient :: dipole
Aut^+ = C3 x ((C3 x Q8) : C2) (small group id <144, 82>)
Aut   = $<288, 589>$ (small group id <288, 589>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2^-1 * Y1^-1)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, Y2^2 * Y1^2 * Y2^-2 * Y1^-2, Y2^2 * Y1 * Y2^-2 * Y1^5, Y2^3 * Y1^-1 * Y2^-5 * Y1^-1, Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^4 * Y2^-2, Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1^3 * Y2^-1 * Y1 * Y2^-1 ]
Map::
	R = (1, 145, 2, 146, 6, 150, 16, 160, 40, 184, 84, 228, 128, 272, 113, 257, 77, 221, 34, 178, 13, 157, 4, 148)(3, 147, 9, 153, 23, 167, 57, 201, 102, 246, 48, 192, 100, 244, 80, 224, 124, 268, 70, 214, 29, 173, 11, 155)(5, 149, 14, 158, 35, 179, 78, 222, 92, 236, 61, 205, 107, 251, 60, 204, 104, 248, 51, 195, 20, 164, 7, 151)(8, 152, 21, 165, 52, 196, 105, 249, 130, 274, 99, 243, 81, 225, 39, 183, 82, 226, 94, 238, 44, 188, 17, 161)(10, 154, 25, 169, 43, 187, 91, 235, 74, 218, 31, 175, 49, 193, 19, 163, 47, 191, 87, 231, 66, 210, 27, 171)(12, 156, 30, 174, 71, 215, 117, 261, 64, 208, 26, 170, 62, 206, 86, 230, 129, 273, 121, 265, 67, 211, 32, 176)(15, 159, 38, 182, 46, 190, 97, 241, 58, 202, 24, 168, 53, 197, 22, 166, 55, 199, 90, 234, 72, 216, 36, 180)(18, 162, 45, 189, 95, 239, 136, 280, 125, 269, 76, 220, 108, 252, 56, 200, 109, 253, 132, 276, 88, 232, 41, 185)(28, 172, 50, 194, 93, 237, 131, 275, 115, 259, 63, 207, 101, 245, 135, 279, 126, 270, 143, 287, 118, 262, 68, 212)(33, 177, 75, 219, 98, 242, 138, 282, 114, 258, 73, 217, 85, 229, 42, 186, 89, 233, 133, 277, 119, 263, 65, 209)(37, 181, 54, 198, 96, 240, 134, 278, 123, 267, 142, 286, 112, 256, 83, 227, 110, 254, 139, 283, 111, 255, 59, 203)(69, 213, 122, 266, 79, 223, 127, 271, 137, 281, 120, 264, 140, 284, 103, 247, 141, 285, 106, 250, 144, 288, 116, 260)(289, 433, 291, 435, 298, 442, 314, 458, 351, 495, 402, 546, 425, 569, 383, 527, 342, 486, 309, 453, 341, 485, 395, 539, 416, 560, 388, 532, 337, 481, 320, 464, 356, 500, 407, 551, 432, 576, 397, 541, 371, 515, 327, 471, 303, 447, 293, 437)(290, 434, 295, 439, 307, 451, 336, 480, 389, 533, 352, 496, 404, 548, 421, 565, 384, 528, 333, 477, 326, 470, 369, 513, 401, 545, 349, 493, 313, 457, 299, 443, 316, 460, 355, 499, 408, 552, 426, 570, 398, 542, 344, 488, 310, 454, 296, 440)(292, 436, 300, 444, 319, 463, 361, 505, 403, 547, 420, 564, 394, 538, 340, 484, 325, 469, 302, 446, 324, 468, 368, 512, 372, 516, 350, 494, 315, 459, 353, 497, 406, 550, 424, 568, 415, 559, 370, 514, 400, 544, 348, 492, 312, 456, 297, 441)(294, 438, 305, 449, 331, 475, 380, 524, 423, 567, 390, 534, 428, 572, 409, 553, 422, 566, 377, 521, 343, 487, 396, 540, 365, 509, 387, 531, 335, 479, 308, 452, 338, 482, 317, 461, 357, 501, 405, 549, 427, 571, 386, 530, 334, 478, 306, 450)(301, 445, 321, 465, 354, 498, 376, 520, 419, 563, 382, 526, 367, 511, 323, 467, 347, 491, 311, 455, 346, 490, 374, 518, 328, 472, 373, 517, 362, 506, 413, 557, 431, 575, 393, 537, 429, 573, 392, 536, 430, 574, 412, 556, 360, 504, 318, 462)(304, 448, 329, 473, 375, 519, 418, 562, 414, 558, 366, 510, 410, 554, 358, 502, 411, 555, 417, 561, 385, 529, 363, 507, 322, 466, 364, 508, 379, 523, 332, 476, 381, 525, 339, 483, 391, 535, 345, 489, 399, 543, 359, 503, 378, 522, 330, 474)
	L = (1, 291)(2, 295)(3, 298)(4, 300)(5, 289)(6, 305)(7, 307)(8, 290)(9, 292)(10, 314)(11, 316)(12, 319)(13, 321)(14, 324)(15, 293)(16, 329)(17, 331)(18, 294)(19, 336)(20, 338)(21, 341)(22, 296)(23, 346)(24, 297)(25, 299)(26, 351)(27, 353)(28, 355)(29, 357)(30, 301)(31, 361)(32, 356)(33, 354)(34, 364)(35, 347)(36, 368)(37, 302)(38, 369)(39, 303)(40, 373)(41, 375)(42, 304)(43, 380)(44, 381)(45, 326)(46, 306)(47, 308)(48, 389)(49, 320)(50, 317)(51, 391)(52, 325)(53, 395)(54, 309)(55, 396)(56, 310)(57, 399)(58, 374)(59, 311)(60, 312)(61, 313)(62, 315)(63, 402)(64, 404)(65, 406)(66, 376)(67, 408)(68, 407)(69, 405)(70, 411)(71, 378)(72, 318)(73, 403)(74, 413)(75, 322)(76, 379)(77, 387)(78, 410)(79, 323)(80, 372)(81, 401)(82, 400)(83, 327)(84, 350)(85, 362)(86, 328)(87, 418)(88, 419)(89, 343)(90, 330)(91, 332)(92, 423)(93, 339)(94, 367)(95, 342)(96, 333)(97, 363)(98, 334)(99, 335)(100, 337)(101, 352)(102, 428)(103, 345)(104, 430)(105, 429)(106, 340)(107, 416)(108, 365)(109, 371)(110, 344)(111, 359)(112, 348)(113, 349)(114, 425)(115, 420)(116, 421)(117, 427)(118, 424)(119, 432)(120, 426)(121, 422)(122, 358)(123, 417)(124, 360)(125, 431)(126, 366)(127, 370)(128, 388)(129, 385)(130, 414)(131, 382)(132, 394)(133, 384)(134, 377)(135, 390)(136, 415)(137, 383)(138, 398)(139, 386)(140, 409)(141, 392)(142, 412)(143, 393)(144, 397)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.2658
Graph:: bipartite
	v = 18 e = 288 f = 216
	degree seq :: [ 24^12, 48^6 ]

E28.2658 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 24})
Quotient :: dipole
Aut^+ = C3 x ((C3 x Q8) : C2) (small group id <144, 82>)
Aut   = $<288, 589>$ (small group id <288, 589>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y2 * Y3^2 * Y2 * Y3^-1 * Y2 * Y3^-2, Y3^4 * Y2 * Y3^-4 * Y2, (Y3^-2 * Y2 * Y3^2 * Y2)^2, Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-3 * Y2 * Y3^-1 * Y2 * Y3^-1, Y3^-9 * Y2 * Y3^-2 * Y2 * Y3^-1, (Y3^-1 * Y1^-1)^24 ]
Map:: polytopal
	R = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)(289, 433, 290, 434)(291, 435, 295, 439)(292, 436, 297, 441)(293, 437, 299, 443)(294, 438, 301, 445)(296, 440, 305, 449)(298, 442, 309, 453)(300, 444, 313, 457)(302, 446, 317, 461)(303, 447, 319, 463)(304, 448, 321, 465)(306, 450, 325, 469)(307, 451, 327, 471)(308, 452, 329, 473)(310, 454, 333, 477)(311, 455, 335, 479)(312, 456, 337, 481)(314, 458, 341, 485)(315, 459, 343, 487)(316, 460, 345, 489)(318, 462, 349, 493)(320, 464, 339, 483)(322, 466, 347, 491)(323, 467, 336, 480)(324, 468, 344, 488)(326, 470, 342, 486)(328, 472, 340, 484)(330, 474, 348, 492)(331, 475, 338, 482)(332, 476, 346, 490)(334, 478, 350, 494)(351, 495, 385, 529)(352, 496, 387, 531)(353, 497, 388, 532)(354, 498, 390, 534)(355, 499, 392, 536)(356, 500, 393, 537)(357, 501, 374, 518)(358, 502, 375, 519)(359, 503, 386, 530)(360, 504, 391, 535)(361, 505, 389, 533)(362, 506, 397, 541)(363, 507, 398, 542)(364, 508, 400, 544)(365, 509, 382, 526)(366, 510, 399, 543)(367, 511, 401, 545)(368, 512, 405, 549)(369, 513, 407, 551)(370, 514, 408, 552)(371, 515, 410, 554)(372, 516, 412, 556)(373, 517, 413, 557)(376, 520, 406, 550)(377, 521, 411, 555)(378, 522, 409, 553)(379, 523, 417, 561)(380, 524, 418, 562)(381, 525, 420, 564)(383, 527, 419, 563)(384, 528, 421, 565)(394, 538, 415, 559)(395, 539, 414, 558)(396, 540, 424, 568)(402, 546, 423, 567)(403, 547, 422, 566)(404, 548, 416, 560)(425, 569, 430, 574)(426, 570, 429, 573)(427, 571, 432, 576)(428, 572, 431, 575)
	L = (1, 291)(2, 293)(3, 296)(4, 289)(5, 300)(6, 290)(7, 303)(8, 306)(9, 307)(10, 292)(11, 311)(12, 314)(13, 315)(14, 294)(15, 320)(16, 295)(17, 323)(18, 326)(19, 328)(20, 297)(21, 331)(22, 298)(23, 336)(24, 299)(25, 339)(26, 342)(27, 344)(28, 301)(29, 347)(30, 302)(31, 351)(32, 353)(33, 354)(34, 304)(35, 357)(36, 305)(37, 359)(38, 361)(39, 352)(40, 360)(41, 355)(42, 308)(43, 358)(44, 309)(45, 356)(46, 310)(47, 368)(48, 370)(49, 371)(50, 312)(51, 374)(52, 313)(53, 376)(54, 378)(55, 369)(56, 377)(57, 372)(58, 316)(59, 375)(60, 317)(61, 373)(62, 318)(63, 386)(64, 319)(65, 389)(66, 391)(67, 321)(68, 322)(69, 394)(70, 324)(71, 395)(72, 325)(73, 396)(74, 327)(75, 329)(76, 330)(77, 332)(78, 333)(79, 334)(80, 406)(81, 335)(82, 409)(83, 411)(84, 337)(85, 338)(86, 414)(87, 340)(88, 415)(89, 341)(90, 416)(91, 343)(92, 345)(93, 346)(94, 348)(95, 349)(96, 350)(97, 413)(98, 412)(99, 419)(100, 417)(101, 426)(102, 420)(103, 418)(104, 425)(105, 362)(106, 424)(107, 428)(108, 422)(109, 427)(110, 408)(111, 363)(112, 405)(113, 364)(114, 365)(115, 366)(116, 367)(117, 393)(118, 392)(119, 399)(120, 397)(121, 430)(122, 400)(123, 398)(124, 429)(125, 379)(126, 404)(127, 432)(128, 402)(129, 431)(130, 388)(131, 380)(132, 385)(133, 381)(134, 382)(135, 383)(136, 384)(137, 387)(138, 401)(139, 390)(140, 403)(141, 407)(142, 421)(143, 410)(144, 423)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 24, 48 ), ( 24, 48, 24, 48 ) }
Outer automorphisms :: reflexible
Dual of E28.2657
Graph:: simple bipartite
	v = 216 e = 288 f = 18
	degree seq :: [ 2^144, 4^72 ]

E28.2659 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 24})
Quotient :: dipole
Aut^+ = C3 x ((C3 x Q8) : C2) (small group id <144, 82>)
Aut   = $<288, 589>$ (small group id <288, 589>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, Y3 * Y1 * Y3 * Y1^-2 * Y3 * Y1^-1 * Y3 * Y1^2, Y1^-1 * Y3 * Y1^4 * Y3 * Y1^-3, (Y1^-4 * Y3 * Y1^-2)^2, Y1^-2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y1^24 ]
Map::
	R = (1, 145, 2, 146, 5, 149, 11, 155, 23, 167, 47, 191, 80, 224, 117, 261, 106, 250, 71, 215, 37, 181, 61, 205, 90, 234, 64, 208, 32, 176, 56, 200, 87, 231, 123, 267, 116, 260, 79, 223, 46, 190, 22, 166, 10, 154, 4, 148)(3, 147, 7, 151, 15, 159, 31, 175, 48, 192, 82, 226, 120, 264, 114, 258, 77, 221, 44, 188, 21, 165, 43, 187, 54, 198, 26, 170, 12, 156, 25, 169, 51, 195, 86, 230, 118, 262, 108, 252, 73, 217, 38, 182, 18, 162, 8, 152)(6, 150, 13, 157, 27, 171, 55, 199, 81, 225, 119, 263, 113, 257, 76, 220, 42, 186, 20, 164, 9, 153, 19, 163, 39, 183, 50, 194, 24, 168, 49, 193, 83, 227, 122, 266, 115, 259, 78, 222, 45, 189, 62, 206, 30, 174, 14, 158)(16, 160, 33, 177, 52, 196, 88, 232, 121, 265, 142, 286, 139, 283, 105, 249, 70, 214, 36, 180, 17, 161, 35, 179, 53, 197, 89, 233, 63, 207, 97, 241, 126, 270, 144, 288, 140, 284, 107, 251, 72, 216, 102, 246, 67, 211, 34, 178)(28, 172, 57, 201, 84, 228, 124, 268, 141, 285, 137, 281, 111, 255, 75, 219, 41, 185, 60, 204, 29, 173, 59, 203, 85, 229, 125, 269, 91, 235, 129, 273, 143, 287, 138, 282, 112, 256, 136, 280, 96, 240, 74, 218, 40, 184, 58, 202)(65, 209, 98, 242, 135, 279, 95, 239, 133, 277, 93, 237, 132, 276, 104, 248, 69, 213, 101, 245, 66, 210, 100, 244, 128, 272, 110, 254, 127, 271, 109, 253, 134, 278, 94, 238, 131, 275, 92, 236, 130, 274, 103, 247, 68, 212, 99, 243)(289, 433)(290, 434)(291, 435)(292, 436)(293, 437)(294, 438)(295, 439)(296, 440)(297, 441)(298, 442)(299, 443)(300, 444)(301, 445)(302, 446)(303, 447)(304, 448)(305, 449)(306, 450)(307, 451)(308, 452)(309, 453)(310, 454)(311, 455)(312, 456)(313, 457)(314, 458)(315, 459)(316, 460)(317, 461)(318, 462)(319, 463)(320, 464)(321, 465)(322, 466)(323, 467)(324, 468)(325, 469)(326, 470)(327, 471)(328, 472)(329, 473)(330, 474)(331, 475)(332, 476)(333, 477)(334, 478)(335, 479)(336, 480)(337, 481)(338, 482)(339, 483)(340, 484)(341, 485)(342, 486)(343, 487)(344, 488)(345, 489)(346, 490)(347, 491)(348, 492)(349, 493)(350, 494)(351, 495)(352, 496)(353, 497)(354, 498)(355, 499)(356, 500)(357, 501)(358, 502)(359, 503)(360, 504)(361, 505)(362, 506)(363, 507)(364, 508)(365, 509)(366, 510)(367, 511)(368, 512)(369, 513)(370, 514)(371, 515)(372, 516)(373, 517)(374, 518)(375, 519)(376, 520)(377, 521)(378, 522)(379, 523)(380, 524)(381, 525)(382, 526)(383, 527)(384, 528)(385, 529)(386, 530)(387, 531)(388, 532)(389, 533)(390, 534)(391, 535)(392, 536)(393, 537)(394, 538)(395, 539)(396, 540)(397, 541)(398, 542)(399, 543)(400, 544)(401, 545)(402, 546)(403, 547)(404, 548)(405, 549)(406, 550)(407, 551)(408, 552)(409, 553)(410, 554)(411, 555)(412, 556)(413, 557)(414, 558)(415, 559)(416, 560)(417, 561)(418, 562)(419, 563)(420, 564)(421, 565)(422, 566)(423, 567)(424, 568)(425, 569)(426, 570)(427, 571)(428, 572)(429, 573)(430, 574)(431, 575)(432, 576)
	L = (1, 291)(2, 294)(3, 289)(4, 297)(5, 300)(6, 290)(7, 304)(8, 305)(9, 292)(10, 309)(11, 312)(12, 293)(13, 316)(14, 317)(15, 320)(16, 295)(17, 296)(18, 325)(19, 328)(20, 329)(21, 298)(22, 333)(23, 336)(24, 299)(25, 340)(26, 341)(27, 344)(28, 301)(29, 302)(30, 349)(31, 351)(32, 303)(33, 353)(34, 354)(35, 356)(36, 357)(37, 306)(38, 360)(39, 352)(40, 307)(41, 308)(42, 359)(43, 355)(44, 358)(45, 310)(46, 361)(47, 369)(48, 311)(49, 372)(50, 373)(51, 375)(52, 313)(53, 314)(54, 378)(55, 379)(56, 315)(57, 380)(58, 381)(59, 382)(60, 383)(61, 318)(62, 384)(63, 319)(64, 327)(65, 321)(66, 322)(67, 331)(68, 323)(69, 324)(70, 332)(71, 330)(72, 326)(73, 334)(74, 397)(75, 398)(76, 400)(77, 394)(78, 399)(79, 401)(80, 406)(81, 335)(82, 409)(83, 411)(84, 337)(85, 338)(86, 414)(87, 339)(88, 415)(89, 416)(90, 342)(91, 343)(92, 345)(93, 346)(94, 347)(95, 348)(96, 350)(97, 423)(98, 424)(99, 425)(100, 426)(101, 412)(102, 418)(103, 417)(104, 413)(105, 419)(106, 365)(107, 420)(108, 427)(109, 362)(110, 363)(111, 366)(112, 364)(113, 367)(114, 428)(115, 405)(116, 408)(117, 403)(118, 368)(119, 429)(120, 404)(121, 370)(122, 431)(123, 371)(124, 389)(125, 392)(126, 374)(127, 376)(128, 377)(129, 391)(130, 390)(131, 393)(132, 395)(133, 430)(134, 432)(135, 385)(136, 386)(137, 387)(138, 388)(139, 396)(140, 402)(141, 407)(142, 421)(143, 410)(144, 422)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.2656
Graph:: simple bipartite
	v = 150 e = 288 f = 84
	degree seq :: [ 2^144, 48^6 ]

E28.2660 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 24})
Quotient :: dipole
Aut^+ = C3 x ((C3 x Q8) : C2) (small group id <144, 82>)
Aut   = $<288, 589>$ (small group id <288, 589>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2^-2 * Y1 * R * Y2^-2 * R, (R * Y2^-2 * Y1)^2, Y2^-1 * R * Y2^2 * R * Y2 * Y1 * Y2^2 * Y1, (Y2^-2 * R * Y2^-2)^2, Y2^-4 * Y1 * Y2^4 * Y1, (Y2^-2 * Y1 * Y2^2 * Y1)^2, Y2^-9 * Y1 * Y2^-2 * Y1 * Y2^-1, Y2 * Y1 * Y2 * Y1 * Y2^3 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 145, 2, 146)(3, 147, 7, 151)(4, 148, 9, 153)(5, 149, 11, 155)(6, 150, 13, 157)(8, 152, 17, 161)(10, 154, 21, 165)(12, 156, 25, 169)(14, 158, 29, 173)(15, 159, 31, 175)(16, 160, 33, 177)(18, 162, 37, 181)(19, 163, 39, 183)(20, 164, 41, 185)(22, 166, 45, 189)(23, 167, 47, 191)(24, 168, 49, 193)(26, 170, 53, 197)(27, 171, 55, 199)(28, 172, 57, 201)(30, 174, 61, 205)(32, 176, 51, 195)(34, 178, 59, 203)(35, 179, 48, 192)(36, 180, 56, 200)(38, 182, 54, 198)(40, 184, 52, 196)(42, 186, 60, 204)(43, 187, 50, 194)(44, 188, 58, 202)(46, 190, 62, 206)(63, 207, 97, 241)(64, 208, 99, 243)(65, 209, 100, 244)(66, 210, 102, 246)(67, 211, 104, 248)(68, 212, 105, 249)(69, 213, 86, 230)(70, 214, 87, 231)(71, 215, 98, 242)(72, 216, 103, 247)(73, 217, 101, 245)(74, 218, 109, 253)(75, 219, 110, 254)(76, 220, 112, 256)(77, 221, 94, 238)(78, 222, 111, 255)(79, 223, 113, 257)(80, 224, 117, 261)(81, 225, 119, 263)(82, 226, 120, 264)(83, 227, 122, 266)(84, 228, 124, 268)(85, 229, 125, 269)(88, 232, 118, 262)(89, 233, 123, 267)(90, 234, 121, 265)(91, 235, 129, 273)(92, 236, 130, 274)(93, 237, 132, 276)(95, 239, 131, 275)(96, 240, 133, 277)(106, 250, 127, 271)(107, 251, 126, 270)(108, 252, 136, 280)(114, 258, 135, 279)(115, 259, 134, 278)(116, 260, 128, 272)(137, 281, 142, 286)(138, 282, 141, 285)(139, 283, 144, 288)(140, 284, 143, 287)(289, 433, 291, 435, 296, 440, 306, 450, 326, 470, 361, 505, 396, 540, 422, 566, 382, 526, 348, 492, 317, 461, 347, 491, 375, 519, 340, 484, 313, 457, 339, 483, 374, 518, 414, 558, 404, 548, 367, 511, 334, 478, 310, 454, 298, 442, 292, 436)(290, 434, 293, 437, 300, 444, 314, 458, 342, 486, 378, 522, 416, 560, 402, 546, 365, 509, 332, 476, 309, 453, 331, 475, 358, 502, 324, 468, 305, 449, 323, 467, 357, 501, 394, 538, 424, 568, 384, 528, 350, 494, 318, 462, 302, 446, 294, 438)(295, 439, 303, 447, 320, 464, 353, 497, 389, 533, 426, 570, 401, 545, 364, 508, 330, 474, 308, 452, 297, 441, 307, 451, 328, 472, 360, 504, 325, 469, 359, 503, 395, 539, 428, 572, 403, 547, 366, 510, 333, 477, 356, 500, 322, 466, 304, 448)(299, 443, 311, 455, 336, 480, 370, 514, 409, 553, 430, 574, 421, 565, 381, 525, 346, 490, 316, 460, 301, 445, 315, 459, 344, 488, 377, 521, 341, 485, 376, 520, 415, 559, 432, 576, 423, 567, 383, 527, 349, 493, 373, 517, 338, 482, 312, 456)(319, 463, 351, 495, 386, 530, 412, 556, 429, 573, 407, 551, 399, 543, 363, 507, 329, 473, 355, 499, 321, 465, 354, 498, 391, 535, 418, 562, 388, 532, 417, 561, 431, 575, 410, 554, 400, 544, 405, 549, 393, 537, 362, 506, 327, 471, 352, 496)(335, 479, 368, 512, 406, 550, 392, 536, 425, 569, 387, 531, 419, 563, 380, 524, 345, 489, 372, 516, 337, 481, 371, 515, 411, 555, 398, 542, 408, 552, 397, 541, 427, 571, 390, 534, 420, 564, 385, 529, 413, 557, 379, 523, 343, 487, 369, 513)
	L = (1, 290)(2, 289)(3, 295)(4, 297)(5, 299)(6, 301)(7, 291)(8, 305)(9, 292)(10, 309)(11, 293)(12, 313)(13, 294)(14, 317)(15, 319)(16, 321)(17, 296)(18, 325)(19, 327)(20, 329)(21, 298)(22, 333)(23, 335)(24, 337)(25, 300)(26, 341)(27, 343)(28, 345)(29, 302)(30, 349)(31, 303)(32, 339)(33, 304)(34, 347)(35, 336)(36, 344)(37, 306)(38, 342)(39, 307)(40, 340)(41, 308)(42, 348)(43, 338)(44, 346)(45, 310)(46, 350)(47, 311)(48, 323)(49, 312)(50, 331)(51, 320)(52, 328)(53, 314)(54, 326)(55, 315)(56, 324)(57, 316)(58, 332)(59, 322)(60, 330)(61, 318)(62, 334)(63, 385)(64, 387)(65, 388)(66, 390)(67, 392)(68, 393)(69, 374)(70, 375)(71, 386)(72, 391)(73, 389)(74, 397)(75, 398)(76, 400)(77, 382)(78, 399)(79, 401)(80, 405)(81, 407)(82, 408)(83, 410)(84, 412)(85, 413)(86, 357)(87, 358)(88, 406)(89, 411)(90, 409)(91, 417)(92, 418)(93, 420)(94, 365)(95, 419)(96, 421)(97, 351)(98, 359)(99, 352)(100, 353)(101, 361)(102, 354)(103, 360)(104, 355)(105, 356)(106, 415)(107, 414)(108, 424)(109, 362)(110, 363)(111, 366)(112, 364)(113, 367)(114, 423)(115, 422)(116, 416)(117, 368)(118, 376)(119, 369)(120, 370)(121, 378)(122, 371)(123, 377)(124, 372)(125, 373)(126, 395)(127, 394)(128, 404)(129, 379)(130, 380)(131, 383)(132, 381)(133, 384)(134, 403)(135, 402)(136, 396)(137, 430)(138, 429)(139, 432)(140, 431)(141, 426)(142, 425)(143, 428)(144, 427)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.2661
Graph:: bipartite
	v = 78 e = 288 f = 156
	degree seq :: [ 4^72, 48^6 ]

E28.2661 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 24})
Quotient :: dipole
Aut^+ = C3 x ((C3 x Q8) : C2) (small group id <144, 82>)
Aut   = $<288, 589>$ (small group id <288, 589>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3 * Y1)^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-2 * Y1^2 * Y3^2 * Y1^-1, Y3^-1 * Y1^-2 * Y3^2 * Y1^2 * Y3^-1, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^3 * Y1^2, Y1^-1 * Y3^3 * Y1^-1 * Y3^-5, Y1^-3 * Y3^-1 * Y1 * Y3^3 * Y1^-2, Y3^2 * Y1^-1 * Y3^2 * Y1^-1 * Y3 * Y1^-3 * Y3 * Y1^-1, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 145, 2, 146, 6, 150, 16, 160, 40, 184, 84, 228, 128, 272, 113, 257, 77, 221, 34, 178, 13, 157, 4, 148)(3, 147, 9, 153, 23, 167, 57, 201, 102, 246, 48, 192, 100, 244, 80, 224, 124, 268, 70, 214, 29, 173, 11, 155)(5, 149, 14, 158, 35, 179, 78, 222, 92, 236, 61, 205, 107, 251, 60, 204, 104, 248, 51, 195, 20, 164, 7, 151)(8, 152, 21, 165, 52, 196, 105, 249, 130, 274, 99, 243, 81, 225, 39, 183, 82, 226, 94, 238, 44, 188, 17, 161)(10, 154, 25, 169, 43, 187, 91, 235, 74, 218, 31, 175, 49, 193, 19, 163, 47, 191, 87, 231, 66, 210, 27, 171)(12, 156, 30, 174, 71, 215, 117, 261, 64, 208, 26, 170, 62, 206, 86, 230, 129, 273, 121, 265, 67, 211, 32, 176)(15, 159, 38, 182, 46, 190, 97, 241, 58, 202, 24, 168, 53, 197, 22, 166, 55, 199, 90, 234, 72, 216, 36, 180)(18, 162, 45, 189, 95, 239, 136, 280, 125, 269, 76, 220, 108, 252, 56, 200, 109, 253, 132, 276, 88, 232, 41, 185)(28, 172, 50, 194, 93, 237, 131, 275, 115, 259, 63, 207, 101, 245, 135, 279, 126, 270, 143, 287, 118, 262, 68, 212)(33, 177, 75, 219, 98, 242, 138, 282, 114, 258, 73, 217, 85, 229, 42, 186, 89, 233, 133, 277, 119, 263, 65, 209)(37, 181, 54, 198, 96, 240, 134, 278, 123, 267, 142, 286, 112, 256, 83, 227, 110, 254, 139, 283, 111, 255, 59, 203)(69, 213, 122, 266, 79, 223, 127, 271, 137, 281, 120, 264, 140, 284, 103, 247, 141, 285, 106, 250, 144, 288, 116, 260)(289, 433)(290, 434)(291, 435)(292, 436)(293, 437)(294, 438)(295, 439)(296, 440)(297, 441)(298, 442)(299, 443)(300, 444)(301, 445)(302, 446)(303, 447)(304, 448)(305, 449)(306, 450)(307, 451)(308, 452)(309, 453)(310, 454)(311, 455)(312, 456)(313, 457)(314, 458)(315, 459)(316, 460)(317, 461)(318, 462)(319, 463)(320, 464)(321, 465)(322, 466)(323, 467)(324, 468)(325, 469)(326, 470)(327, 471)(328, 472)(329, 473)(330, 474)(331, 475)(332, 476)(333, 477)(334, 478)(335, 479)(336, 480)(337, 481)(338, 482)(339, 483)(340, 484)(341, 485)(342, 486)(343, 487)(344, 488)(345, 489)(346, 490)(347, 491)(348, 492)(349, 493)(350, 494)(351, 495)(352, 496)(353, 497)(354, 498)(355, 499)(356, 500)(357, 501)(358, 502)(359, 503)(360, 504)(361, 505)(362, 506)(363, 507)(364, 508)(365, 509)(366, 510)(367, 511)(368, 512)(369, 513)(370, 514)(371, 515)(372, 516)(373, 517)(374, 518)(375, 519)(376, 520)(377, 521)(378, 522)(379, 523)(380, 524)(381, 525)(382, 526)(383, 527)(384, 528)(385, 529)(386, 530)(387, 531)(388, 532)(389, 533)(390, 534)(391, 535)(392, 536)(393, 537)(394, 538)(395, 539)(396, 540)(397, 541)(398, 542)(399, 543)(400, 544)(401, 545)(402, 546)(403, 547)(404, 548)(405, 549)(406, 550)(407, 551)(408, 552)(409, 553)(410, 554)(411, 555)(412, 556)(413, 557)(414, 558)(415, 559)(416, 560)(417, 561)(418, 562)(419, 563)(420, 564)(421, 565)(422, 566)(423, 567)(424, 568)(425, 569)(426, 570)(427, 571)(428, 572)(429, 573)(430, 574)(431, 575)(432, 576)
	L = (1, 291)(2, 295)(3, 298)(4, 300)(5, 289)(6, 305)(7, 307)(8, 290)(9, 292)(10, 314)(11, 316)(12, 319)(13, 321)(14, 324)(15, 293)(16, 329)(17, 331)(18, 294)(19, 336)(20, 338)(21, 341)(22, 296)(23, 346)(24, 297)(25, 299)(26, 351)(27, 353)(28, 355)(29, 357)(30, 301)(31, 361)(32, 356)(33, 354)(34, 364)(35, 347)(36, 368)(37, 302)(38, 369)(39, 303)(40, 373)(41, 375)(42, 304)(43, 380)(44, 381)(45, 326)(46, 306)(47, 308)(48, 389)(49, 320)(50, 317)(51, 391)(52, 325)(53, 395)(54, 309)(55, 396)(56, 310)(57, 399)(58, 374)(59, 311)(60, 312)(61, 313)(62, 315)(63, 402)(64, 404)(65, 406)(66, 376)(67, 408)(68, 407)(69, 405)(70, 411)(71, 378)(72, 318)(73, 403)(74, 413)(75, 322)(76, 379)(77, 387)(78, 410)(79, 323)(80, 372)(81, 401)(82, 400)(83, 327)(84, 350)(85, 362)(86, 328)(87, 418)(88, 419)(89, 343)(90, 330)(91, 332)(92, 423)(93, 339)(94, 367)(95, 342)(96, 333)(97, 363)(98, 334)(99, 335)(100, 337)(101, 352)(102, 428)(103, 345)(104, 430)(105, 429)(106, 340)(107, 416)(108, 365)(109, 371)(110, 344)(111, 359)(112, 348)(113, 349)(114, 425)(115, 420)(116, 421)(117, 427)(118, 424)(119, 432)(120, 426)(121, 422)(122, 358)(123, 417)(124, 360)(125, 431)(126, 366)(127, 370)(128, 388)(129, 385)(130, 414)(131, 382)(132, 394)(133, 384)(134, 377)(135, 390)(136, 415)(137, 383)(138, 398)(139, 386)(140, 409)(141, 392)(142, 412)(143, 393)(144, 397)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E28.2660
Graph:: simple bipartite
	v = 156 e = 288 f = 78
	degree seq :: [ 2^144, 24^12 ]

E28.2662 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 10, 16})
Quotient :: regular
Aut^+ = (C5 x D16) : C2 (small group id <160, 33>)
Aut   = $<320, 537>$ (small group id <320, 537>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^2)^2, T1^16, T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 20, 32, 47, 65, 86, 85, 64, 46, 31, 19, 10, 4)(3, 7, 15, 25, 39, 55, 75, 97, 109, 88, 66, 49, 33, 22, 12, 8)(6, 13, 9, 18, 29, 44, 61, 82, 105, 110, 87, 67, 48, 34, 21, 14)(16, 26, 17, 28, 35, 51, 68, 90, 111, 133, 121, 98, 76, 56, 40, 27)(23, 36, 24, 38, 50, 69, 89, 112, 132, 129, 106, 83, 62, 45, 30, 37)(41, 57, 42, 59, 77, 99, 122, 143, 148, 135, 113, 92, 70, 60, 43, 58)(52, 71, 53, 73, 63, 84, 107, 130, 146, 149, 134, 114, 91, 74, 54, 72)(78, 100, 79, 102, 81, 104, 115, 137, 150, 157, 153, 144, 123, 103, 80, 101)(93, 116, 94, 118, 96, 120, 136, 151, 156, 155, 147, 131, 108, 119, 95, 117)(124, 139, 125, 141, 127, 145, 154, 159, 160, 158, 152, 142, 128, 140, 126, 138)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 21)(13, 23)(14, 24)(18, 30)(19, 29)(20, 33)(22, 35)(25, 40)(26, 41)(27, 42)(28, 43)(31, 39)(32, 48)(34, 50)(36, 52)(37, 53)(38, 54)(44, 62)(45, 63)(46, 61)(47, 66)(49, 68)(51, 70)(55, 76)(56, 77)(57, 78)(58, 79)(59, 80)(60, 81)(64, 75)(65, 87)(67, 89)(69, 91)(71, 93)(72, 94)(73, 95)(74, 96)(82, 106)(83, 107)(84, 108)(85, 105)(86, 109)(88, 111)(90, 113)(92, 115)(97, 121)(98, 122)(99, 123)(100, 124)(101, 125)(102, 126)(103, 127)(104, 128)(110, 132)(112, 134)(114, 136)(116, 138)(117, 139)(118, 140)(119, 141)(120, 142)(129, 146)(130, 147)(131, 145)(133, 148)(135, 150)(137, 152)(143, 153)(144, 154)(149, 156)(151, 158)(155, 159)(157, 160)
	local type(s) :: { ( 10^16 ) }
Outer automorphisms :: reflexible
Dual of E28.2663
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 10 e = 80 f = 16
	degree seq :: [ 16^10 ]

E28.2663 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 10, 16})
Quotient :: regular
Aut^+ = (C5 x D16) : C2 (small group id <160, 33>)
Aut   = $<320, 537>$ (small group id <320, 537>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2 * T1^-1)^2, T1^10, T1 * T2 * T1^-6 * T2 * T1^3, (T1 * T2)^16 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 20, 32, 31, 19, 10, 4)(3, 7, 15, 25, 39, 47, 33, 22, 12, 8)(6, 13, 9, 18, 29, 44, 46, 34, 21, 14)(16, 26, 17, 28, 35, 49, 60, 53, 40, 27)(23, 36, 24, 38, 48, 61, 58, 45, 30, 37)(41, 54, 42, 56, 67, 74, 62, 57, 43, 55)(50, 63, 51, 65, 59, 72, 73, 66, 52, 64)(68, 79, 69, 81, 71, 83, 85, 82, 70, 80)(75, 86, 76, 88, 78, 90, 84, 89, 77, 87)(91, 101, 92, 103, 94, 105, 95, 104, 93, 102)(96, 106, 97, 108, 99, 110, 100, 109, 98, 107)(111, 121, 112, 123, 114, 125, 115, 124, 113, 122)(116, 126, 117, 128, 119, 130, 120, 129, 118, 127)(131, 141, 132, 143, 134, 145, 135, 144, 133, 142)(136, 146, 137, 148, 139, 150, 140, 149, 138, 147)(151, 156, 152, 157, 154, 159, 155, 160, 153, 158)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 21)(13, 23)(14, 24)(18, 30)(19, 29)(20, 33)(22, 35)(25, 40)(26, 41)(27, 42)(28, 43)(31, 39)(32, 46)(34, 48)(36, 50)(37, 51)(38, 52)(44, 58)(45, 59)(47, 60)(49, 62)(53, 67)(54, 68)(55, 69)(56, 70)(57, 71)(61, 73)(63, 75)(64, 76)(65, 77)(66, 78)(72, 84)(74, 85)(79, 91)(80, 92)(81, 93)(82, 94)(83, 95)(86, 96)(87, 97)(88, 98)(89, 99)(90, 100)(101, 111)(102, 112)(103, 113)(104, 114)(105, 115)(106, 116)(107, 117)(108, 118)(109, 119)(110, 120)(121, 131)(122, 132)(123, 133)(124, 134)(125, 135)(126, 136)(127, 137)(128, 138)(129, 139)(130, 140)(141, 151)(142, 152)(143, 153)(144, 154)(145, 155)(146, 156)(147, 157)(148, 158)(149, 159)(150, 160)
	local type(s) :: { ( 16^10 ) }
Outer automorphisms :: reflexible
Dual of E28.2662
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 16 e = 80 f = 10
	degree seq :: [ 10^16 ]

E28.2664 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 10, 16})
Quotient :: edge
Aut^+ = (C5 x D16) : C2 (small group id <160, 33>)
Aut   = $<320, 537>$ (small group id <320, 537>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, (T2^2 * T1)^2, T2^10, T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 ]
Map:: polytopal
	R = (1, 3, 8, 17, 28, 43, 31, 19, 10, 4)(2, 5, 12, 22, 35, 50, 38, 24, 14, 6)(7, 15, 9, 18, 30, 45, 57, 42, 27, 16)(11, 20, 13, 23, 37, 52, 64, 49, 34, 21)(25, 39, 26, 41, 56, 71, 59, 44, 29, 40)(32, 46, 33, 48, 63, 77, 66, 51, 36, 47)(53, 67, 54, 69, 58, 72, 83, 70, 55, 68)(60, 73, 61, 75, 65, 78, 89, 76, 62, 74)(79, 91, 80, 93, 82, 95, 84, 94, 81, 92)(85, 96, 86, 98, 88, 100, 90, 99, 87, 97)(101, 111, 102, 113, 104, 115, 105, 114, 103, 112)(106, 116, 107, 118, 109, 120, 110, 119, 108, 117)(121, 131, 122, 133, 124, 135, 125, 134, 123, 132)(126, 136, 127, 138, 129, 140, 130, 139, 128, 137)(141, 151, 142, 153, 144, 155, 145, 154, 143, 152)(146, 156, 147, 158, 149, 160, 150, 159, 148, 157)(161, 162)(163, 167)(164, 169)(165, 171)(166, 173)(168, 174)(170, 172)(175, 185)(176, 186)(177, 187)(178, 189)(179, 190)(180, 192)(181, 193)(182, 194)(183, 196)(184, 197)(188, 198)(191, 195)(199, 213)(200, 214)(201, 215)(202, 216)(203, 217)(204, 218)(205, 219)(206, 220)(207, 221)(208, 222)(209, 223)(210, 224)(211, 225)(212, 226)(227, 239)(228, 240)(229, 241)(230, 242)(231, 243)(232, 244)(233, 245)(234, 246)(235, 247)(236, 248)(237, 249)(238, 250)(251, 261)(252, 262)(253, 263)(254, 264)(255, 265)(256, 266)(257, 267)(258, 268)(259, 269)(260, 270)(271, 281)(272, 282)(273, 283)(274, 284)(275, 285)(276, 286)(277, 287)(278, 288)(279, 289)(280, 290)(291, 301)(292, 302)(293, 303)(294, 304)(295, 305)(296, 306)(297, 307)(298, 308)(299, 309)(300, 310)(311, 316)(312, 318)(313, 317)(314, 320)(315, 319)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 32, 32 ), ( 32^10 ) }
Outer automorphisms :: reflexible
Dual of E28.2668
Transitivity :: ET+
Graph:: simple bipartite
	v = 96 e = 160 f = 10
	degree seq :: [ 2^80, 10^16 ]

E28.2665 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 10, 16})
Quotient :: edge
Aut^+ = (C5 x D16) : C2 (small group id <160, 33>)
Aut   = $<320, 537>$ (small group id <320, 537>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, (T2 * T1^-1)^2, T1^10, T2^16 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 21, 36, 55, 75, 95, 115, 100, 80, 60, 41, 25, 13, 5)(2, 7, 17, 31, 49, 69, 89, 109, 128, 110, 90, 70, 50, 32, 18, 8)(4, 11, 23, 39, 59, 79, 99, 119, 132, 114, 94, 74, 54, 35, 20, 9)(6, 15, 29, 47, 67, 87, 107, 126, 142, 127, 108, 88, 68, 48, 30, 16)(12, 19, 34, 53, 73, 93, 113, 131, 145, 135, 118, 98, 78, 58, 38, 22)(14, 27, 45, 65, 85, 105, 124, 140, 152, 141, 125, 106, 86, 66, 46, 28)(24, 37, 57, 77, 97, 117, 134, 147, 154, 144, 130, 112, 92, 72, 52, 33)(26, 43, 63, 83, 103, 122, 138, 150, 158, 151, 139, 123, 104, 84, 64, 44)(40, 51, 71, 91, 111, 129, 143, 153, 159, 155, 146, 133, 116, 96, 76, 56)(42, 61, 81, 101, 120, 136, 148, 156, 160, 157, 149, 137, 121, 102, 82, 62)(161, 162, 166, 174, 186, 202, 200, 184, 172, 164)(163, 169, 179, 193, 211, 222, 203, 188, 175, 168)(165, 171, 182, 197, 216, 221, 204, 187, 176, 167)(170, 178, 189, 206, 223, 242, 231, 212, 194, 180)(173, 177, 190, 205, 224, 241, 236, 217, 198, 183)(181, 195, 213, 232, 251, 262, 243, 226, 207, 192)(185, 199, 218, 237, 256, 261, 244, 225, 208, 191)(196, 210, 227, 246, 263, 281, 271, 252, 233, 214)(201, 209, 228, 245, 264, 280, 276, 257, 238, 219)(215, 234, 253, 272, 289, 297, 282, 266, 247, 230)(220, 239, 258, 277, 293, 296, 283, 265, 248, 229)(235, 250, 267, 285, 298, 309, 303, 290, 273, 254)(240, 249, 268, 284, 299, 308, 306, 294, 278, 259)(255, 274, 291, 304, 313, 317, 310, 301, 286, 270)(260, 279, 295, 307, 315, 316, 311, 300, 287, 269)(275, 288, 302, 312, 318, 320, 319, 314, 305, 292)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4^10 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E28.2669
Transitivity :: ET+
Graph:: simple bipartite
	v = 26 e = 160 f = 80
	degree seq :: [ 10^16, 16^10 ]

E28.2666 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 10, 16})
Quotient :: edge
Aut^+ = (C5 x D16) : C2 (small group id <160, 33>)
Aut   = $<320, 537>$ (small group id <320, 537>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^2)^2, T1^16, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 21)(13, 23)(14, 24)(18, 30)(19, 29)(20, 33)(22, 35)(25, 40)(26, 41)(27, 42)(28, 43)(31, 39)(32, 48)(34, 50)(36, 52)(37, 53)(38, 54)(44, 62)(45, 63)(46, 61)(47, 66)(49, 68)(51, 70)(55, 76)(56, 77)(57, 78)(58, 79)(59, 80)(60, 81)(64, 75)(65, 87)(67, 89)(69, 91)(71, 93)(72, 94)(73, 95)(74, 96)(82, 106)(83, 107)(84, 108)(85, 105)(86, 109)(88, 111)(90, 113)(92, 115)(97, 121)(98, 122)(99, 123)(100, 124)(101, 125)(102, 126)(103, 127)(104, 128)(110, 132)(112, 134)(114, 136)(116, 138)(117, 139)(118, 140)(119, 141)(120, 142)(129, 146)(130, 147)(131, 145)(133, 148)(135, 150)(137, 152)(143, 153)(144, 154)(149, 156)(151, 158)(155, 159)(157, 160)(161, 162, 165, 171, 180, 192, 207, 225, 246, 245, 224, 206, 191, 179, 170, 164)(163, 167, 175, 185, 199, 215, 235, 257, 269, 248, 226, 209, 193, 182, 172, 168)(166, 173, 169, 178, 189, 204, 221, 242, 265, 270, 247, 227, 208, 194, 181, 174)(176, 186, 177, 188, 195, 211, 228, 250, 271, 293, 281, 258, 236, 216, 200, 187)(183, 196, 184, 198, 210, 229, 249, 272, 292, 289, 266, 243, 222, 205, 190, 197)(201, 217, 202, 219, 237, 259, 282, 303, 308, 295, 273, 252, 230, 220, 203, 218)(212, 231, 213, 233, 223, 244, 267, 290, 306, 309, 294, 274, 251, 234, 214, 232)(238, 260, 239, 262, 241, 264, 275, 297, 310, 317, 313, 304, 283, 263, 240, 261)(253, 276, 254, 278, 256, 280, 296, 311, 316, 315, 307, 291, 268, 279, 255, 277)(284, 299, 285, 301, 287, 305, 314, 319, 320, 318, 312, 302, 288, 300, 286, 298)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 20, 20 ), ( 20^16 ) }
Outer automorphisms :: reflexible
Dual of E28.2667
Transitivity :: ET+
Graph:: simple bipartite
	v = 90 e = 160 f = 16
	degree seq :: [ 2^80, 16^10 ]

E28.2667 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 10, 16})
Quotient :: loop
Aut^+ = (C5 x D16) : C2 (small group id <160, 33>)
Aut   = $<320, 537>$ (small group id <320, 537>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, (T2^2 * T1)^2, T2^10, T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 ]
Map::
	R = (1, 161, 3, 163, 8, 168, 17, 177, 28, 188, 43, 203, 31, 191, 19, 179, 10, 170, 4, 164)(2, 162, 5, 165, 12, 172, 22, 182, 35, 195, 50, 210, 38, 198, 24, 184, 14, 174, 6, 166)(7, 167, 15, 175, 9, 169, 18, 178, 30, 190, 45, 205, 57, 217, 42, 202, 27, 187, 16, 176)(11, 171, 20, 180, 13, 173, 23, 183, 37, 197, 52, 212, 64, 224, 49, 209, 34, 194, 21, 181)(25, 185, 39, 199, 26, 186, 41, 201, 56, 216, 71, 231, 59, 219, 44, 204, 29, 189, 40, 200)(32, 192, 46, 206, 33, 193, 48, 208, 63, 223, 77, 237, 66, 226, 51, 211, 36, 196, 47, 207)(53, 213, 67, 227, 54, 214, 69, 229, 58, 218, 72, 232, 83, 243, 70, 230, 55, 215, 68, 228)(60, 220, 73, 233, 61, 221, 75, 235, 65, 225, 78, 238, 89, 249, 76, 236, 62, 222, 74, 234)(79, 239, 91, 251, 80, 240, 93, 253, 82, 242, 95, 255, 84, 244, 94, 254, 81, 241, 92, 252)(85, 245, 96, 256, 86, 246, 98, 258, 88, 248, 100, 260, 90, 250, 99, 259, 87, 247, 97, 257)(101, 261, 111, 271, 102, 262, 113, 273, 104, 264, 115, 275, 105, 265, 114, 274, 103, 263, 112, 272)(106, 266, 116, 276, 107, 267, 118, 278, 109, 269, 120, 280, 110, 270, 119, 279, 108, 268, 117, 277)(121, 281, 131, 291, 122, 282, 133, 293, 124, 284, 135, 295, 125, 285, 134, 294, 123, 283, 132, 292)(126, 286, 136, 296, 127, 287, 138, 298, 129, 289, 140, 300, 130, 290, 139, 299, 128, 288, 137, 297)(141, 301, 151, 311, 142, 302, 153, 313, 144, 304, 155, 315, 145, 305, 154, 314, 143, 303, 152, 312)(146, 306, 156, 316, 147, 307, 158, 318, 149, 309, 160, 320, 150, 310, 159, 319, 148, 308, 157, 317)
	L = (1, 162)(2, 161)(3, 167)(4, 169)(5, 171)(6, 173)(7, 163)(8, 174)(9, 164)(10, 172)(11, 165)(12, 170)(13, 166)(14, 168)(15, 185)(16, 186)(17, 187)(18, 189)(19, 190)(20, 192)(21, 193)(22, 194)(23, 196)(24, 197)(25, 175)(26, 176)(27, 177)(28, 198)(29, 178)(30, 179)(31, 195)(32, 180)(33, 181)(34, 182)(35, 191)(36, 183)(37, 184)(38, 188)(39, 213)(40, 214)(41, 215)(42, 216)(43, 217)(44, 218)(45, 219)(46, 220)(47, 221)(48, 222)(49, 223)(50, 224)(51, 225)(52, 226)(53, 199)(54, 200)(55, 201)(56, 202)(57, 203)(58, 204)(59, 205)(60, 206)(61, 207)(62, 208)(63, 209)(64, 210)(65, 211)(66, 212)(67, 239)(68, 240)(69, 241)(70, 242)(71, 243)(72, 244)(73, 245)(74, 246)(75, 247)(76, 248)(77, 249)(78, 250)(79, 227)(80, 228)(81, 229)(82, 230)(83, 231)(84, 232)(85, 233)(86, 234)(87, 235)(88, 236)(89, 237)(90, 238)(91, 261)(92, 262)(93, 263)(94, 264)(95, 265)(96, 266)(97, 267)(98, 268)(99, 269)(100, 270)(101, 251)(102, 252)(103, 253)(104, 254)(105, 255)(106, 256)(107, 257)(108, 258)(109, 259)(110, 260)(111, 281)(112, 282)(113, 283)(114, 284)(115, 285)(116, 286)(117, 287)(118, 288)(119, 289)(120, 290)(121, 271)(122, 272)(123, 273)(124, 274)(125, 275)(126, 276)(127, 277)(128, 278)(129, 279)(130, 280)(131, 301)(132, 302)(133, 303)(134, 304)(135, 305)(136, 306)(137, 307)(138, 308)(139, 309)(140, 310)(141, 291)(142, 292)(143, 293)(144, 294)(145, 295)(146, 296)(147, 297)(148, 298)(149, 299)(150, 300)(151, 316)(152, 318)(153, 317)(154, 320)(155, 319)(156, 311)(157, 313)(158, 312)(159, 315)(160, 314)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.2666
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 160 f = 90
	degree seq :: [ 20^16 ]

E28.2668 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 10, 16})
Quotient :: loop
Aut^+ = (C5 x D16) : C2 (small group id <160, 33>)
Aut   = $<320, 537>$ (small group id <320, 537>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, (T2 * T1^-1)^2, T1^10, T2^16 ]
Map::
	R = (1, 161, 3, 163, 10, 170, 21, 181, 36, 196, 55, 215, 75, 235, 95, 255, 115, 275, 100, 260, 80, 240, 60, 220, 41, 201, 25, 185, 13, 173, 5, 165)(2, 162, 7, 167, 17, 177, 31, 191, 49, 209, 69, 229, 89, 249, 109, 269, 128, 288, 110, 270, 90, 250, 70, 230, 50, 210, 32, 192, 18, 178, 8, 168)(4, 164, 11, 171, 23, 183, 39, 199, 59, 219, 79, 239, 99, 259, 119, 279, 132, 292, 114, 274, 94, 254, 74, 234, 54, 214, 35, 195, 20, 180, 9, 169)(6, 166, 15, 175, 29, 189, 47, 207, 67, 227, 87, 247, 107, 267, 126, 286, 142, 302, 127, 287, 108, 268, 88, 248, 68, 228, 48, 208, 30, 190, 16, 176)(12, 172, 19, 179, 34, 194, 53, 213, 73, 233, 93, 253, 113, 273, 131, 291, 145, 305, 135, 295, 118, 278, 98, 258, 78, 238, 58, 218, 38, 198, 22, 182)(14, 174, 27, 187, 45, 205, 65, 225, 85, 245, 105, 265, 124, 284, 140, 300, 152, 312, 141, 301, 125, 285, 106, 266, 86, 246, 66, 226, 46, 206, 28, 188)(24, 184, 37, 197, 57, 217, 77, 237, 97, 257, 117, 277, 134, 294, 147, 307, 154, 314, 144, 304, 130, 290, 112, 272, 92, 252, 72, 232, 52, 212, 33, 193)(26, 186, 43, 203, 63, 223, 83, 243, 103, 263, 122, 282, 138, 298, 150, 310, 158, 318, 151, 311, 139, 299, 123, 283, 104, 264, 84, 244, 64, 224, 44, 204)(40, 200, 51, 211, 71, 231, 91, 251, 111, 271, 129, 289, 143, 303, 153, 313, 159, 319, 155, 315, 146, 306, 133, 293, 116, 276, 96, 256, 76, 236, 56, 216)(42, 202, 61, 221, 81, 241, 101, 261, 120, 280, 136, 296, 148, 308, 156, 316, 160, 320, 157, 317, 149, 309, 137, 297, 121, 281, 102, 262, 82, 242, 62, 222)
	L = (1, 162)(2, 166)(3, 169)(4, 161)(5, 171)(6, 174)(7, 165)(8, 163)(9, 179)(10, 178)(11, 182)(12, 164)(13, 177)(14, 186)(15, 168)(16, 167)(17, 190)(18, 189)(19, 193)(20, 170)(21, 195)(22, 197)(23, 173)(24, 172)(25, 199)(26, 202)(27, 176)(28, 175)(29, 206)(30, 205)(31, 185)(32, 181)(33, 211)(34, 180)(35, 213)(36, 210)(37, 216)(38, 183)(39, 218)(40, 184)(41, 209)(42, 200)(43, 188)(44, 187)(45, 224)(46, 223)(47, 192)(48, 191)(49, 228)(50, 227)(51, 222)(52, 194)(53, 232)(54, 196)(55, 234)(56, 221)(57, 198)(58, 237)(59, 201)(60, 239)(61, 204)(62, 203)(63, 242)(64, 241)(65, 208)(66, 207)(67, 246)(68, 245)(69, 220)(70, 215)(71, 212)(72, 251)(73, 214)(74, 253)(75, 250)(76, 217)(77, 256)(78, 219)(79, 258)(80, 249)(81, 236)(82, 231)(83, 226)(84, 225)(85, 264)(86, 263)(87, 230)(88, 229)(89, 268)(90, 267)(91, 262)(92, 233)(93, 272)(94, 235)(95, 274)(96, 261)(97, 238)(98, 277)(99, 240)(100, 279)(101, 244)(102, 243)(103, 281)(104, 280)(105, 248)(106, 247)(107, 285)(108, 284)(109, 260)(110, 255)(111, 252)(112, 289)(113, 254)(114, 291)(115, 288)(116, 257)(117, 293)(118, 259)(119, 295)(120, 276)(121, 271)(122, 266)(123, 265)(124, 299)(125, 298)(126, 270)(127, 269)(128, 302)(129, 297)(130, 273)(131, 304)(132, 275)(133, 296)(134, 278)(135, 307)(136, 283)(137, 282)(138, 309)(139, 308)(140, 287)(141, 286)(142, 312)(143, 290)(144, 313)(145, 292)(146, 294)(147, 315)(148, 306)(149, 303)(150, 301)(151, 300)(152, 318)(153, 317)(154, 305)(155, 316)(156, 311)(157, 310)(158, 320)(159, 314)(160, 319)
	local type(s) :: { ( 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10 ) }
Outer automorphisms :: reflexible
Dual of E28.2664
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 10 e = 160 f = 96
	degree seq :: [ 32^10 ]

E28.2669 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 10, 16})
Quotient :: loop
Aut^+ = (C5 x D16) : C2 (small group id <160, 33>)
Aut   = $<320, 537>$ (small group id <320, 537>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^2)^2, T1^16, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 161, 3, 163)(2, 162, 6, 166)(4, 164, 9, 169)(5, 165, 12, 172)(7, 167, 16, 176)(8, 168, 17, 177)(10, 170, 15, 175)(11, 171, 21, 181)(13, 173, 23, 183)(14, 174, 24, 184)(18, 178, 30, 190)(19, 179, 29, 189)(20, 180, 33, 193)(22, 182, 35, 195)(25, 185, 40, 200)(26, 186, 41, 201)(27, 187, 42, 202)(28, 188, 43, 203)(31, 191, 39, 199)(32, 192, 48, 208)(34, 194, 50, 210)(36, 196, 52, 212)(37, 197, 53, 213)(38, 198, 54, 214)(44, 204, 62, 222)(45, 205, 63, 223)(46, 206, 61, 221)(47, 207, 66, 226)(49, 209, 68, 228)(51, 211, 70, 230)(55, 215, 76, 236)(56, 216, 77, 237)(57, 217, 78, 238)(58, 218, 79, 239)(59, 219, 80, 240)(60, 220, 81, 241)(64, 224, 75, 235)(65, 225, 87, 247)(67, 227, 89, 249)(69, 229, 91, 251)(71, 231, 93, 253)(72, 232, 94, 254)(73, 233, 95, 255)(74, 234, 96, 256)(82, 242, 106, 266)(83, 243, 107, 267)(84, 244, 108, 268)(85, 245, 105, 265)(86, 246, 109, 269)(88, 248, 111, 271)(90, 250, 113, 273)(92, 252, 115, 275)(97, 257, 121, 281)(98, 258, 122, 282)(99, 259, 123, 283)(100, 260, 124, 284)(101, 261, 125, 285)(102, 262, 126, 286)(103, 263, 127, 287)(104, 264, 128, 288)(110, 270, 132, 292)(112, 272, 134, 294)(114, 274, 136, 296)(116, 276, 138, 298)(117, 277, 139, 299)(118, 278, 140, 300)(119, 279, 141, 301)(120, 280, 142, 302)(129, 289, 146, 306)(130, 290, 147, 307)(131, 291, 145, 305)(133, 293, 148, 308)(135, 295, 150, 310)(137, 297, 152, 312)(143, 303, 153, 313)(144, 304, 154, 314)(149, 309, 156, 316)(151, 311, 158, 318)(155, 315, 159, 319)(157, 317, 160, 320)
	L = (1, 162)(2, 165)(3, 167)(4, 161)(5, 171)(6, 173)(7, 175)(8, 163)(9, 178)(10, 164)(11, 180)(12, 168)(13, 169)(14, 166)(15, 185)(16, 186)(17, 188)(18, 189)(19, 170)(20, 192)(21, 174)(22, 172)(23, 196)(24, 198)(25, 199)(26, 177)(27, 176)(28, 195)(29, 204)(30, 197)(31, 179)(32, 207)(33, 182)(34, 181)(35, 211)(36, 184)(37, 183)(38, 210)(39, 215)(40, 187)(41, 217)(42, 219)(43, 218)(44, 221)(45, 190)(46, 191)(47, 225)(48, 194)(49, 193)(50, 229)(51, 228)(52, 231)(53, 233)(54, 232)(55, 235)(56, 200)(57, 202)(58, 201)(59, 237)(60, 203)(61, 242)(62, 205)(63, 244)(64, 206)(65, 246)(66, 209)(67, 208)(68, 250)(69, 249)(70, 220)(71, 213)(72, 212)(73, 223)(74, 214)(75, 257)(76, 216)(77, 259)(78, 260)(79, 262)(80, 261)(81, 264)(82, 265)(83, 222)(84, 267)(85, 224)(86, 245)(87, 227)(88, 226)(89, 272)(90, 271)(91, 234)(92, 230)(93, 276)(94, 278)(95, 277)(96, 280)(97, 269)(98, 236)(99, 282)(100, 239)(101, 238)(102, 241)(103, 240)(104, 275)(105, 270)(106, 243)(107, 290)(108, 279)(109, 248)(110, 247)(111, 293)(112, 292)(113, 252)(114, 251)(115, 297)(116, 254)(117, 253)(118, 256)(119, 255)(120, 296)(121, 258)(122, 303)(123, 263)(124, 299)(125, 301)(126, 298)(127, 305)(128, 300)(129, 266)(130, 306)(131, 268)(132, 289)(133, 281)(134, 274)(135, 273)(136, 311)(137, 310)(138, 284)(139, 285)(140, 286)(141, 287)(142, 288)(143, 308)(144, 283)(145, 314)(146, 309)(147, 291)(148, 295)(149, 294)(150, 317)(151, 316)(152, 302)(153, 304)(154, 319)(155, 307)(156, 315)(157, 313)(158, 312)(159, 320)(160, 318)
	local type(s) :: { ( 10, 16, 10, 16 ) }
Outer automorphisms :: reflexible
Dual of E28.2665
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 80 e = 160 f = 26
	degree seq :: [ 4^80 ]

E28.2670 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 16})
Quotient :: dipole
Aut^+ = (C5 x D16) : C2 (small group id <160, 33>)
Aut   = $<320, 537>$ (small group id <320, 537>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1 * Y2^-1)^2, Y2^10, (Y3 * Y2^-1)^16 ]
Map::
	R = (1, 161, 2, 162)(3, 163, 7, 167)(4, 164, 9, 169)(5, 165, 11, 171)(6, 166, 13, 173)(8, 168, 14, 174)(10, 170, 12, 172)(15, 175, 25, 185)(16, 176, 26, 186)(17, 177, 27, 187)(18, 178, 29, 189)(19, 179, 30, 190)(20, 180, 32, 192)(21, 181, 33, 193)(22, 182, 34, 194)(23, 183, 36, 196)(24, 184, 37, 197)(28, 188, 38, 198)(31, 191, 35, 195)(39, 199, 53, 213)(40, 200, 54, 214)(41, 201, 55, 215)(42, 202, 56, 216)(43, 203, 57, 217)(44, 204, 58, 218)(45, 205, 59, 219)(46, 206, 60, 220)(47, 207, 61, 221)(48, 208, 62, 222)(49, 209, 63, 223)(50, 210, 64, 224)(51, 211, 65, 225)(52, 212, 66, 226)(67, 227, 79, 239)(68, 228, 80, 240)(69, 229, 81, 241)(70, 230, 82, 242)(71, 231, 83, 243)(72, 232, 84, 244)(73, 233, 85, 245)(74, 234, 86, 246)(75, 235, 87, 247)(76, 236, 88, 248)(77, 237, 89, 249)(78, 238, 90, 250)(91, 251, 101, 261)(92, 252, 102, 262)(93, 253, 103, 263)(94, 254, 104, 264)(95, 255, 105, 265)(96, 256, 106, 266)(97, 257, 107, 267)(98, 258, 108, 268)(99, 259, 109, 269)(100, 260, 110, 270)(111, 271, 121, 281)(112, 272, 122, 282)(113, 273, 123, 283)(114, 274, 124, 284)(115, 275, 125, 285)(116, 276, 126, 286)(117, 277, 127, 287)(118, 278, 128, 288)(119, 279, 129, 289)(120, 280, 130, 290)(131, 291, 141, 301)(132, 292, 142, 302)(133, 293, 143, 303)(134, 294, 144, 304)(135, 295, 145, 305)(136, 296, 146, 306)(137, 297, 147, 307)(138, 298, 148, 308)(139, 299, 149, 309)(140, 300, 150, 310)(151, 311, 156, 316)(152, 312, 158, 318)(153, 313, 157, 317)(154, 314, 160, 320)(155, 315, 159, 319)(321, 481, 323, 483, 328, 488, 337, 497, 348, 508, 363, 523, 351, 511, 339, 499, 330, 490, 324, 484)(322, 482, 325, 485, 332, 492, 342, 502, 355, 515, 370, 530, 358, 518, 344, 504, 334, 494, 326, 486)(327, 487, 335, 495, 329, 489, 338, 498, 350, 510, 365, 525, 377, 537, 362, 522, 347, 507, 336, 496)(331, 491, 340, 500, 333, 493, 343, 503, 357, 517, 372, 532, 384, 544, 369, 529, 354, 514, 341, 501)(345, 505, 359, 519, 346, 506, 361, 521, 376, 536, 391, 551, 379, 539, 364, 524, 349, 509, 360, 520)(352, 512, 366, 526, 353, 513, 368, 528, 383, 543, 397, 557, 386, 546, 371, 531, 356, 516, 367, 527)(373, 533, 387, 547, 374, 534, 389, 549, 378, 538, 392, 552, 403, 563, 390, 550, 375, 535, 388, 548)(380, 540, 393, 553, 381, 541, 395, 555, 385, 545, 398, 558, 409, 569, 396, 556, 382, 542, 394, 554)(399, 559, 411, 571, 400, 560, 413, 573, 402, 562, 415, 575, 404, 564, 414, 574, 401, 561, 412, 572)(405, 565, 416, 576, 406, 566, 418, 578, 408, 568, 420, 580, 410, 570, 419, 579, 407, 567, 417, 577)(421, 581, 431, 591, 422, 582, 433, 593, 424, 584, 435, 595, 425, 585, 434, 594, 423, 583, 432, 592)(426, 586, 436, 596, 427, 587, 438, 598, 429, 589, 440, 600, 430, 590, 439, 599, 428, 588, 437, 597)(441, 601, 451, 611, 442, 602, 453, 613, 444, 604, 455, 615, 445, 605, 454, 614, 443, 603, 452, 612)(446, 606, 456, 616, 447, 607, 458, 618, 449, 609, 460, 620, 450, 610, 459, 619, 448, 608, 457, 617)(461, 621, 471, 631, 462, 622, 473, 633, 464, 624, 475, 635, 465, 625, 474, 634, 463, 623, 472, 632)(466, 626, 476, 636, 467, 627, 478, 638, 469, 629, 480, 640, 470, 630, 479, 639, 468, 628, 477, 637)
	L = (1, 322)(2, 321)(3, 327)(4, 329)(5, 331)(6, 333)(7, 323)(8, 334)(9, 324)(10, 332)(11, 325)(12, 330)(13, 326)(14, 328)(15, 345)(16, 346)(17, 347)(18, 349)(19, 350)(20, 352)(21, 353)(22, 354)(23, 356)(24, 357)(25, 335)(26, 336)(27, 337)(28, 358)(29, 338)(30, 339)(31, 355)(32, 340)(33, 341)(34, 342)(35, 351)(36, 343)(37, 344)(38, 348)(39, 373)(40, 374)(41, 375)(42, 376)(43, 377)(44, 378)(45, 379)(46, 380)(47, 381)(48, 382)(49, 383)(50, 384)(51, 385)(52, 386)(53, 359)(54, 360)(55, 361)(56, 362)(57, 363)(58, 364)(59, 365)(60, 366)(61, 367)(62, 368)(63, 369)(64, 370)(65, 371)(66, 372)(67, 399)(68, 400)(69, 401)(70, 402)(71, 403)(72, 404)(73, 405)(74, 406)(75, 407)(76, 408)(77, 409)(78, 410)(79, 387)(80, 388)(81, 389)(82, 390)(83, 391)(84, 392)(85, 393)(86, 394)(87, 395)(88, 396)(89, 397)(90, 398)(91, 421)(92, 422)(93, 423)(94, 424)(95, 425)(96, 426)(97, 427)(98, 428)(99, 429)(100, 430)(101, 411)(102, 412)(103, 413)(104, 414)(105, 415)(106, 416)(107, 417)(108, 418)(109, 419)(110, 420)(111, 441)(112, 442)(113, 443)(114, 444)(115, 445)(116, 446)(117, 447)(118, 448)(119, 449)(120, 450)(121, 431)(122, 432)(123, 433)(124, 434)(125, 435)(126, 436)(127, 437)(128, 438)(129, 439)(130, 440)(131, 461)(132, 462)(133, 463)(134, 464)(135, 465)(136, 466)(137, 467)(138, 468)(139, 469)(140, 470)(141, 451)(142, 452)(143, 453)(144, 454)(145, 455)(146, 456)(147, 457)(148, 458)(149, 459)(150, 460)(151, 476)(152, 478)(153, 477)(154, 480)(155, 479)(156, 471)(157, 473)(158, 472)(159, 475)(160, 474)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 2, 32, 2, 32 ), ( 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32 ) }
Outer automorphisms :: reflexible
Dual of E28.2673
Graph:: bipartite
	v = 96 e = 320 f = 170
	degree seq :: [ 4^80, 20^16 ]

E28.2671 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 16})
Quotient :: dipole
Aut^+ = (C5 x D16) : C2 (small group id <160, 33>)
Aut   = $<320, 537>$ (small group id <320, 537>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2 * Y1)^2, (Y2^-1 * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, Y1^10, Y2^16 ]
Map::
	R = (1, 161, 2, 162, 6, 166, 14, 174, 26, 186, 42, 202, 40, 200, 24, 184, 12, 172, 4, 164)(3, 163, 9, 169, 19, 179, 33, 193, 51, 211, 62, 222, 43, 203, 28, 188, 15, 175, 8, 168)(5, 165, 11, 171, 22, 182, 37, 197, 56, 216, 61, 221, 44, 204, 27, 187, 16, 176, 7, 167)(10, 170, 18, 178, 29, 189, 46, 206, 63, 223, 82, 242, 71, 231, 52, 212, 34, 194, 20, 180)(13, 173, 17, 177, 30, 190, 45, 205, 64, 224, 81, 241, 76, 236, 57, 217, 38, 198, 23, 183)(21, 181, 35, 195, 53, 213, 72, 232, 91, 251, 102, 262, 83, 243, 66, 226, 47, 207, 32, 192)(25, 185, 39, 199, 58, 218, 77, 237, 96, 256, 101, 261, 84, 244, 65, 225, 48, 208, 31, 191)(36, 196, 50, 210, 67, 227, 86, 246, 103, 263, 121, 281, 111, 271, 92, 252, 73, 233, 54, 214)(41, 201, 49, 209, 68, 228, 85, 245, 104, 264, 120, 280, 116, 276, 97, 257, 78, 238, 59, 219)(55, 215, 74, 234, 93, 253, 112, 272, 129, 289, 137, 297, 122, 282, 106, 266, 87, 247, 70, 230)(60, 220, 79, 239, 98, 258, 117, 277, 133, 293, 136, 296, 123, 283, 105, 265, 88, 248, 69, 229)(75, 235, 90, 250, 107, 267, 125, 285, 138, 298, 149, 309, 143, 303, 130, 290, 113, 273, 94, 254)(80, 240, 89, 249, 108, 268, 124, 284, 139, 299, 148, 308, 146, 306, 134, 294, 118, 278, 99, 259)(95, 255, 114, 274, 131, 291, 144, 304, 153, 313, 157, 317, 150, 310, 141, 301, 126, 286, 110, 270)(100, 260, 119, 279, 135, 295, 147, 307, 155, 315, 156, 316, 151, 311, 140, 300, 127, 287, 109, 269)(115, 275, 128, 288, 142, 302, 152, 312, 158, 318, 160, 320, 159, 319, 154, 314, 145, 305, 132, 292)(321, 481, 323, 483, 330, 490, 341, 501, 356, 516, 375, 535, 395, 555, 415, 575, 435, 595, 420, 580, 400, 560, 380, 540, 361, 521, 345, 505, 333, 493, 325, 485)(322, 482, 327, 487, 337, 497, 351, 511, 369, 529, 389, 549, 409, 569, 429, 589, 448, 608, 430, 590, 410, 570, 390, 550, 370, 530, 352, 512, 338, 498, 328, 488)(324, 484, 331, 491, 343, 503, 359, 519, 379, 539, 399, 559, 419, 579, 439, 599, 452, 612, 434, 594, 414, 574, 394, 554, 374, 534, 355, 515, 340, 500, 329, 489)(326, 486, 335, 495, 349, 509, 367, 527, 387, 547, 407, 567, 427, 587, 446, 606, 462, 622, 447, 607, 428, 588, 408, 568, 388, 548, 368, 528, 350, 510, 336, 496)(332, 492, 339, 499, 354, 514, 373, 533, 393, 553, 413, 573, 433, 593, 451, 611, 465, 625, 455, 615, 438, 598, 418, 578, 398, 558, 378, 538, 358, 518, 342, 502)(334, 494, 347, 507, 365, 525, 385, 545, 405, 565, 425, 585, 444, 604, 460, 620, 472, 632, 461, 621, 445, 605, 426, 586, 406, 566, 386, 546, 366, 526, 348, 508)(344, 504, 357, 517, 377, 537, 397, 557, 417, 577, 437, 597, 454, 614, 467, 627, 474, 634, 464, 624, 450, 610, 432, 592, 412, 572, 392, 552, 372, 532, 353, 513)(346, 506, 363, 523, 383, 543, 403, 563, 423, 583, 442, 602, 458, 618, 470, 630, 478, 638, 471, 631, 459, 619, 443, 603, 424, 584, 404, 564, 384, 544, 364, 524)(360, 520, 371, 531, 391, 551, 411, 571, 431, 591, 449, 609, 463, 623, 473, 633, 479, 639, 475, 635, 466, 626, 453, 613, 436, 596, 416, 576, 396, 556, 376, 536)(362, 522, 381, 541, 401, 561, 421, 581, 440, 600, 456, 616, 468, 628, 476, 636, 480, 640, 477, 637, 469, 629, 457, 617, 441, 601, 422, 582, 402, 562, 382, 542)
	L = (1, 323)(2, 327)(3, 330)(4, 331)(5, 321)(6, 335)(7, 337)(8, 322)(9, 324)(10, 341)(11, 343)(12, 339)(13, 325)(14, 347)(15, 349)(16, 326)(17, 351)(18, 328)(19, 354)(20, 329)(21, 356)(22, 332)(23, 359)(24, 357)(25, 333)(26, 363)(27, 365)(28, 334)(29, 367)(30, 336)(31, 369)(32, 338)(33, 344)(34, 373)(35, 340)(36, 375)(37, 377)(38, 342)(39, 379)(40, 371)(41, 345)(42, 381)(43, 383)(44, 346)(45, 385)(46, 348)(47, 387)(48, 350)(49, 389)(50, 352)(51, 391)(52, 353)(53, 393)(54, 355)(55, 395)(56, 360)(57, 397)(58, 358)(59, 399)(60, 361)(61, 401)(62, 362)(63, 403)(64, 364)(65, 405)(66, 366)(67, 407)(68, 368)(69, 409)(70, 370)(71, 411)(72, 372)(73, 413)(74, 374)(75, 415)(76, 376)(77, 417)(78, 378)(79, 419)(80, 380)(81, 421)(82, 382)(83, 423)(84, 384)(85, 425)(86, 386)(87, 427)(88, 388)(89, 429)(90, 390)(91, 431)(92, 392)(93, 433)(94, 394)(95, 435)(96, 396)(97, 437)(98, 398)(99, 439)(100, 400)(101, 440)(102, 402)(103, 442)(104, 404)(105, 444)(106, 406)(107, 446)(108, 408)(109, 448)(110, 410)(111, 449)(112, 412)(113, 451)(114, 414)(115, 420)(116, 416)(117, 454)(118, 418)(119, 452)(120, 456)(121, 422)(122, 458)(123, 424)(124, 460)(125, 426)(126, 462)(127, 428)(128, 430)(129, 463)(130, 432)(131, 465)(132, 434)(133, 436)(134, 467)(135, 438)(136, 468)(137, 441)(138, 470)(139, 443)(140, 472)(141, 445)(142, 447)(143, 473)(144, 450)(145, 455)(146, 453)(147, 474)(148, 476)(149, 457)(150, 478)(151, 459)(152, 461)(153, 479)(154, 464)(155, 466)(156, 480)(157, 469)(158, 471)(159, 475)(160, 477)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.2672
Graph:: bipartite
	v = 26 e = 320 f = 240
	degree seq :: [ 20^16, 32^10 ]

E28.2672 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 16})
Quotient :: dipole
Aut^+ = (C5 x D16) : C2 (small group id <160, 33>)
Aut   = $<320, 537>$ (small group id <320, 537>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^2 * Y2)^2, Y3^4 * Y2 * Y3^-12 * Y2, (Y3^-1 * Y2)^10, (Y3^-1 * Y1^-1)^16 ]
Map:: polytopal
	R = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)(321, 481, 322, 482)(323, 483, 327, 487)(324, 484, 329, 489)(325, 485, 331, 491)(326, 486, 333, 493)(328, 488, 334, 494)(330, 490, 332, 492)(335, 495, 345, 505)(336, 496, 346, 506)(337, 497, 347, 507)(338, 498, 349, 509)(339, 499, 350, 510)(340, 500, 352, 512)(341, 501, 353, 513)(342, 502, 354, 514)(343, 503, 356, 516)(344, 504, 357, 517)(348, 508, 358, 518)(351, 511, 355, 515)(359, 519, 375, 535)(360, 520, 376, 536)(361, 521, 377, 537)(362, 522, 378, 538)(363, 523, 379, 539)(364, 524, 381, 541)(365, 525, 382, 542)(366, 526, 383, 543)(367, 527, 385, 545)(368, 528, 386, 546)(369, 529, 387, 547)(370, 530, 388, 548)(371, 531, 389, 549)(372, 532, 391, 551)(373, 533, 392, 552)(374, 534, 393, 553)(380, 540, 394, 554)(384, 544, 390, 550)(395, 555, 417, 577)(396, 556, 418, 578)(397, 557, 419, 579)(398, 558, 420, 580)(399, 559, 421, 581)(400, 560, 422, 582)(401, 561, 423, 583)(402, 562, 425, 585)(403, 563, 426, 586)(404, 564, 427, 587)(405, 565, 428, 588)(406, 566, 429, 589)(407, 567, 430, 590)(408, 568, 431, 591)(409, 569, 432, 592)(410, 570, 433, 593)(411, 571, 434, 594)(412, 572, 435, 595)(413, 573, 437, 597)(414, 574, 438, 598)(415, 575, 439, 599)(416, 576, 440, 600)(424, 584, 436, 596)(441, 601, 453, 613)(442, 602, 452, 612)(443, 603, 455, 615)(444, 604, 454, 614)(445, 605, 460, 620)(446, 606, 463, 623)(447, 607, 464, 624)(448, 608, 465, 625)(449, 609, 456, 616)(450, 610, 466, 626)(451, 611, 467, 627)(457, 617, 468, 628)(458, 618, 469, 629)(459, 619, 470, 630)(461, 621, 471, 631)(462, 622, 472, 632)(473, 633, 478, 638)(474, 634, 479, 639)(475, 635, 476, 636)(477, 637, 480, 640)
	L = (1, 323)(2, 325)(3, 328)(4, 321)(5, 332)(6, 322)(7, 335)(8, 337)(9, 338)(10, 324)(11, 340)(12, 342)(13, 343)(14, 326)(15, 329)(16, 327)(17, 348)(18, 350)(19, 330)(20, 333)(21, 331)(22, 355)(23, 357)(24, 334)(25, 359)(26, 361)(27, 336)(28, 363)(29, 360)(30, 365)(31, 339)(32, 367)(33, 369)(34, 341)(35, 371)(36, 368)(37, 373)(38, 344)(39, 346)(40, 345)(41, 378)(42, 347)(43, 380)(44, 349)(45, 383)(46, 351)(47, 353)(48, 352)(49, 388)(50, 354)(51, 390)(52, 356)(53, 393)(54, 358)(55, 395)(56, 397)(57, 396)(58, 399)(59, 362)(60, 401)(61, 402)(62, 364)(63, 404)(64, 366)(65, 406)(66, 408)(67, 407)(68, 410)(69, 370)(70, 412)(71, 413)(72, 372)(73, 415)(74, 374)(75, 376)(76, 375)(77, 381)(78, 377)(79, 422)(80, 379)(81, 424)(82, 426)(83, 382)(84, 428)(85, 384)(86, 386)(87, 385)(88, 391)(89, 387)(90, 434)(91, 389)(92, 436)(93, 438)(94, 392)(95, 440)(96, 394)(97, 441)(98, 443)(99, 442)(100, 445)(101, 398)(102, 447)(103, 400)(104, 405)(105, 444)(106, 450)(107, 403)(108, 448)(109, 452)(110, 454)(111, 453)(112, 456)(113, 409)(114, 458)(115, 411)(116, 416)(117, 455)(118, 461)(119, 414)(120, 459)(121, 418)(122, 417)(123, 420)(124, 419)(125, 463)(126, 421)(127, 465)(128, 423)(129, 425)(130, 467)(131, 427)(132, 430)(133, 429)(134, 432)(135, 431)(136, 468)(137, 433)(138, 470)(139, 435)(140, 437)(141, 472)(142, 439)(143, 473)(144, 446)(145, 451)(146, 449)(147, 474)(148, 476)(149, 457)(150, 462)(151, 460)(152, 477)(153, 479)(154, 464)(155, 466)(156, 480)(157, 469)(158, 471)(159, 475)(160, 478)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 20, 32 ), ( 20, 32, 20, 32 ) }
Outer automorphisms :: reflexible
Dual of E28.2671
Graph:: simple bipartite
	v = 240 e = 320 f = 26
	degree seq :: [ 2^160, 4^80 ]

E28.2673 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 16})
Quotient :: dipole
Aut^+ = (C5 x D16) : C2 (small group id <160, 33>)
Aut   = $<320, 537>$ (small group id <320, 537>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y1^-2 * Y3 * Y1^-2 * Y3^-1, Y1^16, (Y3^-1 * Y1)^10 ]
Map:: polytopal
	R = (1, 161, 2, 162, 5, 165, 11, 171, 20, 180, 32, 192, 47, 207, 65, 225, 86, 246, 85, 245, 64, 224, 46, 206, 31, 191, 19, 179, 10, 170, 4, 164)(3, 163, 7, 167, 15, 175, 25, 185, 39, 199, 55, 215, 75, 235, 97, 257, 109, 269, 88, 248, 66, 226, 49, 209, 33, 193, 22, 182, 12, 172, 8, 168)(6, 166, 13, 173, 9, 169, 18, 178, 29, 189, 44, 204, 61, 221, 82, 242, 105, 265, 110, 270, 87, 247, 67, 227, 48, 208, 34, 194, 21, 181, 14, 174)(16, 176, 26, 186, 17, 177, 28, 188, 35, 195, 51, 211, 68, 228, 90, 250, 111, 271, 133, 293, 121, 281, 98, 258, 76, 236, 56, 216, 40, 200, 27, 187)(23, 183, 36, 196, 24, 184, 38, 198, 50, 210, 69, 229, 89, 249, 112, 272, 132, 292, 129, 289, 106, 266, 83, 243, 62, 222, 45, 205, 30, 190, 37, 197)(41, 201, 57, 217, 42, 202, 59, 219, 77, 237, 99, 259, 122, 282, 143, 303, 148, 308, 135, 295, 113, 273, 92, 252, 70, 230, 60, 220, 43, 203, 58, 218)(52, 212, 71, 231, 53, 213, 73, 233, 63, 223, 84, 244, 107, 267, 130, 290, 146, 306, 149, 309, 134, 294, 114, 274, 91, 251, 74, 234, 54, 214, 72, 232)(78, 238, 100, 260, 79, 239, 102, 262, 81, 241, 104, 264, 115, 275, 137, 297, 150, 310, 157, 317, 153, 313, 144, 304, 123, 283, 103, 263, 80, 240, 101, 261)(93, 253, 116, 276, 94, 254, 118, 278, 96, 256, 120, 280, 136, 296, 151, 311, 156, 316, 155, 315, 147, 307, 131, 291, 108, 268, 119, 279, 95, 255, 117, 277)(124, 284, 139, 299, 125, 285, 141, 301, 127, 287, 145, 305, 154, 314, 159, 319, 160, 320, 158, 318, 152, 312, 142, 302, 128, 288, 140, 300, 126, 286, 138, 298)(321, 481)(322, 482)(323, 483)(324, 484)(325, 485)(326, 486)(327, 487)(328, 488)(329, 489)(330, 490)(331, 491)(332, 492)(333, 493)(334, 494)(335, 495)(336, 496)(337, 497)(338, 498)(339, 499)(340, 500)(341, 501)(342, 502)(343, 503)(344, 504)(345, 505)(346, 506)(347, 507)(348, 508)(349, 509)(350, 510)(351, 511)(352, 512)(353, 513)(354, 514)(355, 515)(356, 516)(357, 517)(358, 518)(359, 519)(360, 520)(361, 521)(362, 522)(363, 523)(364, 524)(365, 525)(366, 526)(367, 527)(368, 528)(369, 529)(370, 530)(371, 531)(372, 532)(373, 533)(374, 534)(375, 535)(376, 536)(377, 537)(378, 538)(379, 539)(380, 540)(381, 541)(382, 542)(383, 543)(384, 544)(385, 545)(386, 546)(387, 547)(388, 548)(389, 549)(390, 550)(391, 551)(392, 552)(393, 553)(394, 554)(395, 555)(396, 556)(397, 557)(398, 558)(399, 559)(400, 560)(401, 561)(402, 562)(403, 563)(404, 564)(405, 565)(406, 566)(407, 567)(408, 568)(409, 569)(410, 570)(411, 571)(412, 572)(413, 573)(414, 574)(415, 575)(416, 576)(417, 577)(418, 578)(419, 579)(420, 580)(421, 581)(422, 582)(423, 583)(424, 584)(425, 585)(426, 586)(427, 587)(428, 588)(429, 589)(430, 590)(431, 591)(432, 592)(433, 593)(434, 594)(435, 595)(436, 596)(437, 597)(438, 598)(439, 599)(440, 600)(441, 601)(442, 602)(443, 603)(444, 604)(445, 605)(446, 606)(447, 607)(448, 608)(449, 609)(450, 610)(451, 611)(452, 612)(453, 613)(454, 614)(455, 615)(456, 616)(457, 617)(458, 618)(459, 619)(460, 620)(461, 621)(462, 622)(463, 623)(464, 624)(465, 625)(466, 626)(467, 627)(468, 628)(469, 629)(470, 630)(471, 631)(472, 632)(473, 633)(474, 634)(475, 635)(476, 636)(477, 637)(478, 638)(479, 639)(480, 640)
	L = (1, 323)(2, 326)(3, 321)(4, 329)(5, 332)(6, 322)(7, 336)(8, 337)(9, 324)(10, 335)(11, 341)(12, 325)(13, 343)(14, 344)(15, 330)(16, 327)(17, 328)(18, 350)(19, 349)(20, 353)(21, 331)(22, 355)(23, 333)(24, 334)(25, 360)(26, 361)(27, 362)(28, 363)(29, 339)(30, 338)(31, 359)(32, 368)(33, 340)(34, 370)(35, 342)(36, 372)(37, 373)(38, 374)(39, 351)(40, 345)(41, 346)(42, 347)(43, 348)(44, 382)(45, 383)(46, 381)(47, 386)(48, 352)(49, 388)(50, 354)(51, 390)(52, 356)(53, 357)(54, 358)(55, 396)(56, 397)(57, 398)(58, 399)(59, 400)(60, 401)(61, 366)(62, 364)(63, 365)(64, 395)(65, 407)(66, 367)(67, 409)(68, 369)(69, 411)(70, 371)(71, 413)(72, 414)(73, 415)(74, 416)(75, 384)(76, 375)(77, 376)(78, 377)(79, 378)(80, 379)(81, 380)(82, 426)(83, 427)(84, 428)(85, 425)(86, 429)(87, 385)(88, 431)(89, 387)(90, 433)(91, 389)(92, 435)(93, 391)(94, 392)(95, 393)(96, 394)(97, 441)(98, 442)(99, 443)(100, 444)(101, 445)(102, 446)(103, 447)(104, 448)(105, 405)(106, 402)(107, 403)(108, 404)(109, 406)(110, 452)(111, 408)(112, 454)(113, 410)(114, 456)(115, 412)(116, 458)(117, 459)(118, 460)(119, 461)(120, 462)(121, 417)(122, 418)(123, 419)(124, 420)(125, 421)(126, 422)(127, 423)(128, 424)(129, 466)(130, 467)(131, 465)(132, 430)(133, 468)(134, 432)(135, 470)(136, 434)(137, 472)(138, 436)(139, 437)(140, 438)(141, 439)(142, 440)(143, 473)(144, 474)(145, 451)(146, 449)(147, 450)(148, 453)(149, 476)(150, 455)(151, 478)(152, 457)(153, 463)(154, 464)(155, 479)(156, 469)(157, 480)(158, 471)(159, 475)(160, 477)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 4, 20 ), ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E28.2670
Graph:: simple bipartite
	v = 170 e = 320 f = 96
	degree seq :: [ 2^160, 32^10 ]

E28.2674 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 16})
Quotient :: dipole
Aut^+ = (C5 x D16) : C2 (small group id <160, 33>)
Aut   = $<320, 537>$ (small group id <320, 537>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2^2 * Y1)^2, Y2^16, (Y3 * Y2^-1)^10 ]
Map::
	R = (1, 161, 2, 162)(3, 163, 7, 167)(4, 164, 9, 169)(5, 165, 11, 171)(6, 166, 13, 173)(8, 168, 14, 174)(10, 170, 12, 172)(15, 175, 25, 185)(16, 176, 26, 186)(17, 177, 27, 187)(18, 178, 29, 189)(19, 179, 30, 190)(20, 180, 32, 192)(21, 181, 33, 193)(22, 182, 34, 194)(23, 183, 36, 196)(24, 184, 37, 197)(28, 188, 38, 198)(31, 191, 35, 195)(39, 199, 55, 215)(40, 200, 56, 216)(41, 201, 57, 217)(42, 202, 58, 218)(43, 203, 59, 219)(44, 204, 61, 221)(45, 205, 62, 222)(46, 206, 63, 223)(47, 207, 65, 225)(48, 208, 66, 226)(49, 209, 67, 227)(50, 210, 68, 228)(51, 211, 69, 229)(52, 212, 71, 231)(53, 213, 72, 232)(54, 214, 73, 233)(60, 220, 74, 234)(64, 224, 70, 230)(75, 235, 97, 257)(76, 236, 98, 258)(77, 237, 99, 259)(78, 238, 100, 260)(79, 239, 101, 261)(80, 240, 102, 262)(81, 241, 103, 263)(82, 242, 105, 265)(83, 243, 106, 266)(84, 244, 107, 267)(85, 245, 108, 268)(86, 246, 109, 269)(87, 247, 110, 270)(88, 248, 111, 271)(89, 249, 112, 272)(90, 250, 113, 273)(91, 251, 114, 274)(92, 252, 115, 275)(93, 253, 117, 277)(94, 254, 118, 278)(95, 255, 119, 279)(96, 256, 120, 280)(104, 264, 116, 276)(121, 281, 133, 293)(122, 282, 132, 292)(123, 283, 135, 295)(124, 284, 134, 294)(125, 285, 140, 300)(126, 286, 143, 303)(127, 287, 144, 304)(128, 288, 145, 305)(129, 289, 136, 296)(130, 290, 146, 306)(131, 291, 147, 307)(137, 297, 148, 308)(138, 298, 149, 309)(139, 299, 150, 310)(141, 301, 151, 311)(142, 302, 152, 312)(153, 313, 158, 318)(154, 314, 159, 319)(155, 315, 156, 316)(157, 317, 160, 320)(321, 481, 323, 483, 328, 488, 337, 497, 348, 508, 363, 523, 380, 540, 401, 561, 424, 584, 405, 565, 384, 544, 366, 526, 351, 511, 339, 499, 330, 490, 324, 484)(322, 482, 325, 485, 332, 492, 342, 502, 355, 515, 371, 531, 390, 550, 412, 572, 436, 596, 416, 576, 394, 554, 374, 534, 358, 518, 344, 504, 334, 494, 326, 486)(327, 487, 335, 495, 329, 489, 338, 498, 350, 510, 365, 525, 383, 543, 404, 564, 428, 588, 448, 608, 423, 583, 400, 560, 379, 539, 362, 522, 347, 507, 336, 496)(331, 491, 340, 500, 333, 493, 343, 503, 357, 517, 373, 533, 393, 553, 415, 575, 440, 600, 459, 619, 435, 595, 411, 571, 389, 549, 370, 530, 354, 514, 341, 501)(345, 505, 359, 519, 346, 506, 361, 521, 378, 538, 399, 559, 422, 582, 447, 607, 465, 625, 451, 611, 427, 587, 403, 563, 382, 542, 364, 524, 349, 509, 360, 520)(352, 512, 367, 527, 353, 513, 369, 529, 388, 548, 410, 570, 434, 594, 458, 618, 470, 630, 462, 622, 439, 599, 414, 574, 392, 552, 372, 532, 356, 516, 368, 528)(375, 535, 395, 555, 376, 536, 397, 557, 381, 541, 402, 562, 426, 586, 450, 610, 467, 627, 474, 634, 464, 624, 446, 606, 421, 581, 398, 558, 377, 537, 396, 556)(385, 545, 406, 566, 386, 546, 408, 568, 391, 551, 413, 573, 438, 598, 461, 621, 472, 632, 477, 637, 469, 629, 457, 617, 433, 593, 409, 569, 387, 547, 407, 567)(417, 577, 441, 601, 418, 578, 443, 603, 420, 580, 445, 605, 463, 623, 473, 633, 479, 639, 475, 635, 466, 626, 449, 609, 425, 585, 444, 604, 419, 579, 442, 602)(429, 589, 452, 612, 430, 590, 454, 614, 432, 592, 456, 616, 468, 628, 476, 636, 480, 640, 478, 638, 471, 631, 460, 620, 437, 597, 455, 615, 431, 591, 453, 613)
	L = (1, 322)(2, 321)(3, 327)(4, 329)(5, 331)(6, 333)(7, 323)(8, 334)(9, 324)(10, 332)(11, 325)(12, 330)(13, 326)(14, 328)(15, 345)(16, 346)(17, 347)(18, 349)(19, 350)(20, 352)(21, 353)(22, 354)(23, 356)(24, 357)(25, 335)(26, 336)(27, 337)(28, 358)(29, 338)(30, 339)(31, 355)(32, 340)(33, 341)(34, 342)(35, 351)(36, 343)(37, 344)(38, 348)(39, 375)(40, 376)(41, 377)(42, 378)(43, 379)(44, 381)(45, 382)(46, 383)(47, 385)(48, 386)(49, 387)(50, 388)(51, 389)(52, 391)(53, 392)(54, 393)(55, 359)(56, 360)(57, 361)(58, 362)(59, 363)(60, 394)(61, 364)(62, 365)(63, 366)(64, 390)(65, 367)(66, 368)(67, 369)(68, 370)(69, 371)(70, 384)(71, 372)(72, 373)(73, 374)(74, 380)(75, 417)(76, 418)(77, 419)(78, 420)(79, 421)(80, 422)(81, 423)(82, 425)(83, 426)(84, 427)(85, 428)(86, 429)(87, 430)(88, 431)(89, 432)(90, 433)(91, 434)(92, 435)(93, 437)(94, 438)(95, 439)(96, 440)(97, 395)(98, 396)(99, 397)(100, 398)(101, 399)(102, 400)(103, 401)(104, 436)(105, 402)(106, 403)(107, 404)(108, 405)(109, 406)(110, 407)(111, 408)(112, 409)(113, 410)(114, 411)(115, 412)(116, 424)(117, 413)(118, 414)(119, 415)(120, 416)(121, 453)(122, 452)(123, 455)(124, 454)(125, 460)(126, 463)(127, 464)(128, 465)(129, 456)(130, 466)(131, 467)(132, 442)(133, 441)(134, 444)(135, 443)(136, 449)(137, 468)(138, 469)(139, 470)(140, 445)(141, 471)(142, 472)(143, 446)(144, 447)(145, 448)(146, 450)(147, 451)(148, 457)(149, 458)(150, 459)(151, 461)(152, 462)(153, 478)(154, 479)(155, 476)(156, 475)(157, 480)(158, 473)(159, 474)(160, 477)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 2, 20, 2, 20 ), ( 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20 ) }
Outer automorphisms :: reflexible
Dual of E28.2675
Graph:: bipartite
	v = 90 e = 320 f = 176
	degree seq :: [ 4^80, 32^10 ]

E28.2675 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 16})
Quotient :: dipole
Aut^+ = (C5 x D16) : C2 (small group id <160, 33>)
Aut   = $<320, 537>$ (small group id <320, 537>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y1^10, (Y3 * Y2^-1)^16 ]
Map:: polytopal
	R = (1, 161, 2, 162, 6, 166, 14, 174, 26, 186, 42, 202, 40, 200, 24, 184, 12, 172, 4, 164)(3, 163, 9, 169, 19, 179, 33, 193, 51, 211, 62, 222, 43, 203, 28, 188, 15, 175, 8, 168)(5, 165, 11, 171, 22, 182, 37, 197, 56, 216, 61, 221, 44, 204, 27, 187, 16, 176, 7, 167)(10, 170, 18, 178, 29, 189, 46, 206, 63, 223, 82, 242, 71, 231, 52, 212, 34, 194, 20, 180)(13, 173, 17, 177, 30, 190, 45, 205, 64, 224, 81, 241, 76, 236, 57, 217, 38, 198, 23, 183)(21, 181, 35, 195, 53, 213, 72, 232, 91, 251, 102, 262, 83, 243, 66, 226, 47, 207, 32, 192)(25, 185, 39, 199, 58, 218, 77, 237, 96, 256, 101, 261, 84, 244, 65, 225, 48, 208, 31, 191)(36, 196, 50, 210, 67, 227, 86, 246, 103, 263, 121, 281, 111, 271, 92, 252, 73, 233, 54, 214)(41, 201, 49, 209, 68, 228, 85, 245, 104, 264, 120, 280, 116, 276, 97, 257, 78, 238, 59, 219)(55, 215, 74, 234, 93, 253, 112, 272, 129, 289, 137, 297, 122, 282, 106, 266, 87, 247, 70, 230)(60, 220, 79, 239, 98, 258, 117, 277, 133, 293, 136, 296, 123, 283, 105, 265, 88, 248, 69, 229)(75, 235, 90, 250, 107, 267, 125, 285, 138, 298, 149, 309, 143, 303, 130, 290, 113, 273, 94, 254)(80, 240, 89, 249, 108, 268, 124, 284, 139, 299, 148, 308, 146, 306, 134, 294, 118, 278, 99, 259)(95, 255, 114, 274, 131, 291, 144, 304, 153, 313, 157, 317, 150, 310, 141, 301, 126, 286, 110, 270)(100, 260, 119, 279, 135, 295, 147, 307, 155, 315, 156, 316, 151, 311, 140, 300, 127, 287, 109, 269)(115, 275, 128, 288, 142, 302, 152, 312, 158, 318, 160, 320, 159, 319, 154, 314, 145, 305, 132, 292)(321, 481)(322, 482)(323, 483)(324, 484)(325, 485)(326, 486)(327, 487)(328, 488)(329, 489)(330, 490)(331, 491)(332, 492)(333, 493)(334, 494)(335, 495)(336, 496)(337, 497)(338, 498)(339, 499)(340, 500)(341, 501)(342, 502)(343, 503)(344, 504)(345, 505)(346, 506)(347, 507)(348, 508)(349, 509)(350, 510)(351, 511)(352, 512)(353, 513)(354, 514)(355, 515)(356, 516)(357, 517)(358, 518)(359, 519)(360, 520)(361, 521)(362, 522)(363, 523)(364, 524)(365, 525)(366, 526)(367, 527)(368, 528)(369, 529)(370, 530)(371, 531)(372, 532)(373, 533)(374, 534)(375, 535)(376, 536)(377, 537)(378, 538)(379, 539)(380, 540)(381, 541)(382, 542)(383, 543)(384, 544)(385, 545)(386, 546)(387, 547)(388, 548)(389, 549)(390, 550)(391, 551)(392, 552)(393, 553)(394, 554)(395, 555)(396, 556)(397, 557)(398, 558)(399, 559)(400, 560)(401, 561)(402, 562)(403, 563)(404, 564)(405, 565)(406, 566)(407, 567)(408, 568)(409, 569)(410, 570)(411, 571)(412, 572)(413, 573)(414, 574)(415, 575)(416, 576)(417, 577)(418, 578)(419, 579)(420, 580)(421, 581)(422, 582)(423, 583)(424, 584)(425, 585)(426, 586)(427, 587)(428, 588)(429, 589)(430, 590)(431, 591)(432, 592)(433, 593)(434, 594)(435, 595)(436, 596)(437, 597)(438, 598)(439, 599)(440, 600)(441, 601)(442, 602)(443, 603)(444, 604)(445, 605)(446, 606)(447, 607)(448, 608)(449, 609)(450, 610)(451, 611)(452, 612)(453, 613)(454, 614)(455, 615)(456, 616)(457, 617)(458, 618)(459, 619)(460, 620)(461, 621)(462, 622)(463, 623)(464, 624)(465, 625)(466, 626)(467, 627)(468, 628)(469, 629)(470, 630)(471, 631)(472, 632)(473, 633)(474, 634)(475, 635)(476, 636)(477, 637)(478, 638)(479, 639)(480, 640)
	L = (1, 323)(2, 327)(3, 330)(4, 331)(5, 321)(6, 335)(7, 337)(8, 322)(9, 324)(10, 341)(11, 343)(12, 339)(13, 325)(14, 347)(15, 349)(16, 326)(17, 351)(18, 328)(19, 354)(20, 329)(21, 356)(22, 332)(23, 359)(24, 357)(25, 333)(26, 363)(27, 365)(28, 334)(29, 367)(30, 336)(31, 369)(32, 338)(33, 344)(34, 373)(35, 340)(36, 375)(37, 377)(38, 342)(39, 379)(40, 371)(41, 345)(42, 381)(43, 383)(44, 346)(45, 385)(46, 348)(47, 387)(48, 350)(49, 389)(50, 352)(51, 391)(52, 353)(53, 393)(54, 355)(55, 395)(56, 360)(57, 397)(58, 358)(59, 399)(60, 361)(61, 401)(62, 362)(63, 403)(64, 364)(65, 405)(66, 366)(67, 407)(68, 368)(69, 409)(70, 370)(71, 411)(72, 372)(73, 413)(74, 374)(75, 415)(76, 376)(77, 417)(78, 378)(79, 419)(80, 380)(81, 421)(82, 382)(83, 423)(84, 384)(85, 425)(86, 386)(87, 427)(88, 388)(89, 429)(90, 390)(91, 431)(92, 392)(93, 433)(94, 394)(95, 435)(96, 396)(97, 437)(98, 398)(99, 439)(100, 400)(101, 440)(102, 402)(103, 442)(104, 404)(105, 444)(106, 406)(107, 446)(108, 408)(109, 448)(110, 410)(111, 449)(112, 412)(113, 451)(114, 414)(115, 420)(116, 416)(117, 454)(118, 418)(119, 452)(120, 456)(121, 422)(122, 458)(123, 424)(124, 460)(125, 426)(126, 462)(127, 428)(128, 430)(129, 463)(130, 432)(131, 465)(132, 434)(133, 436)(134, 467)(135, 438)(136, 468)(137, 441)(138, 470)(139, 443)(140, 472)(141, 445)(142, 447)(143, 473)(144, 450)(145, 455)(146, 453)(147, 474)(148, 476)(149, 457)(150, 478)(151, 459)(152, 461)(153, 479)(154, 464)(155, 466)(156, 480)(157, 469)(158, 471)(159, 475)(160, 477)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 4, 32 ), ( 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32 ) }
Outer automorphisms :: reflexible
Dual of E28.2674
Graph:: simple bipartite
	v = 176 e = 320 f = 90
	degree seq :: [ 2^160, 20^16 ]

E28.2676 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: halfedge^2
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 15>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^3, R * Y3 * R * Y2, (R * Y1)^2, Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y3 * Y2 * Y1, Y3 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1^-1, (Y1^-1 * Y2 * Y3)^3, (Y2 * Y3 * Y1)^3, Y3 * Y2 * Y1 * Y3 * Y1 * Y2 * Y3 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 164, 2, 167, 5, 163)(3, 170, 8, 172, 10, 165)(4, 173, 11, 175, 13, 166)(6, 178, 16, 180, 18, 168)(7, 181, 19, 183, 21, 169)(9, 186, 24, 188, 26, 171)(12, 193, 31, 195, 33, 174)(14, 198, 36, 200, 38, 176)(15, 201, 39, 203, 41, 177)(17, 206, 44, 208, 46, 179)(20, 213, 51, 215, 53, 182)(22, 218, 56, 217, 55, 184)(23, 220, 58, 210, 48, 185)(25, 207, 45, 225, 63, 187)(27, 228, 66, 230, 68, 189)(28, 231, 69, 233, 71, 190)(29, 234, 72, 216, 54, 191)(30, 236, 74, 209, 47, 192)(32, 214, 52, 239, 77, 194)(34, 241, 79, 243, 81, 196)(35, 244, 82, 245, 83, 197)(37, 246, 84, 247, 85, 199)(40, 250, 88, 251, 89, 202)(42, 254, 92, 253, 91, 204)(43, 256, 94, 249, 87, 205)(49, 264, 102, 252, 90, 211)(50, 266, 104, 248, 86, 212)(57, 272, 110, 262, 100, 219)(59, 242, 80, 260, 98, 221)(60, 265, 103, 263, 101, 222)(61, 276, 114, 261, 99, 223)(62, 275, 113, 278, 116, 224)(64, 280, 118, 281, 119, 226)(65, 282, 120, 283, 121, 227)(67, 284, 122, 285, 123, 229)(70, 268, 106, 235, 73, 232)(75, 257, 95, 269, 107, 237)(76, 291, 129, 295, 133, 238)(78, 297, 135, 298, 136, 240)(93, 277, 115, 303, 141, 255)(96, 294, 132, 302, 140, 258)(97, 308, 146, 309, 147, 259)(105, 311, 149, 314, 152, 267)(108, 312, 150, 289, 127, 270)(109, 310, 148, 287, 125, 271)(111, 306, 144, 288, 126, 273)(112, 304, 142, 286, 124, 274)(117, 318, 156, 319, 157, 279)(128, 313, 151, 301, 139, 290)(130, 307, 145, 300, 138, 292)(131, 305, 143, 299, 137, 293)(134, 324, 162, 320, 158, 296)(153, 317, 155, 322, 160, 315)(154, 323, 161, 321, 159, 316)
	L = (1, 3)(2, 6)(4, 12)(5, 14)(7, 20)(8, 22)(9, 25)(10, 27)(11, 29)(13, 34)(15, 40)(16, 42)(17, 45)(18, 47)(19, 49)(21, 54)(23, 59)(24, 60)(26, 64)(28, 70)(30, 61)(31, 57)(32, 76)(33, 67)(35, 65)(36, 82)(37, 63)(38, 86)(39, 79)(41, 90)(43, 95)(44, 78)(46, 98)(48, 101)(50, 96)(51, 93)(52, 105)(53, 100)(55, 99)(56, 108)(58, 111)(62, 115)(66, 120)(68, 124)(69, 118)(71, 126)(72, 128)(73, 129)(74, 130)(75, 85)(77, 134)(80, 133)(81, 137)(83, 138)(84, 106)(87, 136)(88, 122)(89, 141)(91, 140)(92, 142)(94, 144)(97, 123)(102, 148)(103, 149)(104, 150)(107, 152)(109, 146)(110, 117)(112, 153)(113, 139)(114, 154)(116, 131)(119, 158)(121, 159)(125, 157)(127, 160)(132, 161)(135, 162)(143, 156)(145, 155)(147, 151)(163, 166)(164, 169)(165, 171)(167, 177)(168, 179)(170, 185)(172, 190)(173, 192)(174, 194)(175, 197)(176, 199)(178, 205)(180, 210)(181, 212)(182, 214)(183, 217)(184, 219)(186, 223)(187, 224)(188, 227)(189, 229)(191, 235)(193, 237)(195, 240)(196, 242)(198, 231)(200, 249)(201, 228)(202, 239)(203, 253)(204, 255)(206, 258)(207, 259)(208, 261)(209, 262)(211, 265)(213, 226)(215, 268)(216, 269)(218, 271)(220, 274)(221, 275)(222, 251)(225, 279)(230, 287)(232, 278)(233, 289)(234, 273)(236, 293)(238, 294)(241, 297)(243, 288)(244, 284)(245, 301)(246, 282)(247, 302)(248, 303)(250, 260)(252, 281)(254, 305)(256, 307)(257, 308)(263, 309)(264, 306)(266, 313)(267, 283)(270, 295)(272, 315)(276, 296)(277, 317)(280, 318)(285, 322)(286, 291)(290, 316)(292, 311)(298, 319)(299, 321)(300, 320)(304, 314)(310, 323)(312, 324)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2678
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 54 e = 162 f = 54
	degree seq :: [ 6^54 ]

E28.2677 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: halfedge^2
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 14>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y2, Y1^3, (R * Y1)^2, R * Y3 * R * Y2, (Y2 * Y1 * Y2 * Y1^-1)^3, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map::
	R = (1, 164, 2, 166, 4, 163)(3, 168, 6, 169, 7, 165)(5, 171, 9, 172, 10, 167)(8, 175, 13, 176, 14, 170)(11, 179, 17, 180, 18, 173)(12, 181, 19, 182, 20, 174)(15, 185, 23, 186, 24, 177)(16, 187, 25, 188, 26, 178)(21, 193, 31, 194, 32, 183)(22, 195, 33, 196, 34, 184)(27, 201, 39, 202, 40, 189)(28, 199, 37, 203, 41, 190)(29, 204, 42, 205, 43, 191)(30, 206, 44, 207, 45, 192)(35, 211, 49, 212, 50, 197)(36, 209, 47, 213, 51, 198)(38, 214, 52, 215, 53, 200)(46, 222, 60, 223, 61, 208)(48, 224, 62, 225, 63, 210)(54, 231, 69, 232, 70, 216)(55, 220, 58, 233, 71, 217)(56, 234, 72, 235, 73, 218)(57, 236, 74, 237, 75, 219)(59, 238, 76, 239, 77, 221)(64, 244, 82, 245, 83, 226)(65, 229, 67, 246, 84, 227)(66, 247, 85, 248, 86, 228)(68, 249, 87, 250, 88, 230)(78, 260, 98, 261, 99, 240)(79, 242, 80, 262, 100, 241)(81, 263, 101, 264, 102, 243)(89, 272, 110, 273, 111, 251)(90, 254, 92, 274, 112, 252)(91, 275, 113, 276, 114, 253)(93, 270, 108, 277, 115, 255)(94, 278, 116, 279, 117, 256)(95, 258, 96, 280, 118, 257)(97, 281, 119, 282, 120, 259)(103, 287, 125, 288, 126, 265)(104, 268, 106, 289, 127, 266)(105, 290, 128, 291, 129, 267)(107, 285, 123, 292, 130, 269)(109, 293, 131, 294, 132, 271)(121, 305, 143, 306, 144, 283)(122, 307, 145, 308, 146, 284)(124, 309, 147, 310, 148, 286)(133, 311, 149, 319, 157, 295)(134, 298, 136, 313, 151, 296)(135, 320, 158, 321, 159, 297)(137, 303, 141, 316, 154, 299)(138, 322, 160, 323, 161, 300)(139, 312, 150, 314, 152, 301)(140, 315, 153, 317, 155, 302)(142, 318, 156, 324, 162, 304)
	L = (1, 3)(2, 5)(4, 8)(6, 11)(7, 12)(9, 15)(10, 16)(13, 21)(14, 22)(17, 27)(18, 28)(19, 29)(20, 30)(23, 35)(24, 36)(25, 37)(26, 38)(31, 46)(32, 43)(33, 47)(34, 48)(39, 54)(40, 55)(41, 56)(42, 57)(44, 58)(45, 59)(49, 64)(50, 65)(51, 66)(52, 67)(53, 68)(60, 78)(61, 79)(62, 80)(63, 81)(69, 89)(70, 90)(71, 91)(72, 92)(73, 93)(74, 94)(75, 95)(76, 96)(77, 97)(82, 103)(83, 104)(84, 105)(85, 106)(86, 107)(87, 108)(88, 109)(98, 121)(99, 117)(100, 122)(101, 123)(102, 124)(110, 133)(111, 134)(112, 135)(113, 136)(114, 137)(115, 138)(116, 139)(118, 140)(119, 141)(120, 142)(125, 149)(126, 150)(127, 151)(128, 152)(129, 153)(130, 154)(131, 155)(132, 156)(143, 157)(144, 158)(145, 159)(146, 160)(147, 161)(148, 162)(163, 165)(164, 167)(166, 170)(168, 173)(169, 174)(171, 177)(172, 178)(175, 183)(176, 184)(179, 189)(180, 190)(181, 191)(182, 192)(185, 197)(186, 198)(187, 199)(188, 200)(193, 208)(194, 205)(195, 209)(196, 210)(201, 216)(202, 217)(203, 218)(204, 219)(206, 220)(207, 221)(211, 226)(212, 227)(213, 228)(214, 229)(215, 230)(222, 240)(223, 241)(224, 242)(225, 243)(231, 251)(232, 252)(233, 253)(234, 254)(235, 255)(236, 256)(237, 257)(238, 258)(239, 259)(244, 265)(245, 266)(246, 267)(247, 268)(248, 269)(249, 270)(250, 271)(260, 283)(261, 279)(262, 284)(263, 285)(264, 286)(272, 295)(273, 296)(274, 297)(275, 298)(276, 299)(277, 300)(278, 301)(280, 302)(281, 303)(282, 304)(287, 311)(288, 312)(289, 313)(290, 314)(291, 315)(292, 316)(293, 317)(294, 318)(305, 319)(306, 320)(307, 321)(308, 322)(309, 323)(310, 324)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 54 e = 162 f = 54
	degree seq :: [ 6^54 ]

E28.2678 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: halfedge^2
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 15>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^3, Y1^3, (R * Y1)^2, R * Y3 * R * Y2, Y3 * Y1 * Y3 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1^-1 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1, (Y1^-1 * Y2 * Y3)^3, Y2 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y1, (Y2 * Y3 * Y1)^3, Y3 * Y2 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y1^-1, Y1^-1 * Y3 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2, (Y2 * Y1 * Y2 * Y3 * Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 164, 2, 167, 5, 163)(3, 170, 8, 172, 10, 165)(4, 173, 11, 175, 13, 166)(6, 178, 16, 180, 18, 168)(7, 181, 19, 183, 21, 169)(9, 186, 24, 188, 26, 171)(12, 193, 31, 195, 33, 174)(14, 198, 36, 200, 38, 176)(15, 201, 39, 203, 41, 177)(17, 206, 44, 208, 46, 179)(20, 213, 51, 215, 53, 182)(22, 218, 56, 220, 58, 184)(23, 221, 59, 223, 61, 185)(25, 226, 64, 228, 66, 187)(27, 231, 69, 233, 71, 189)(28, 210, 48, 235, 73, 190)(29, 211, 49, 237, 75, 191)(30, 204, 42, 239, 77, 192)(32, 242, 80, 244, 82, 194)(34, 247, 85, 249, 87, 196)(35, 209, 47, 251, 89, 197)(37, 254, 92, 256, 94, 199)(40, 258, 96, 260, 98, 202)(43, 227, 65, 264, 102, 205)(45, 266, 104, 268, 106, 207)(50, 252, 90, 274, 112, 212)(52, 276, 114, 277, 115, 214)(54, 280, 118, 282, 120, 216)(55, 257, 95, 284, 122, 217)(57, 286, 124, 278, 116, 219)(60, 248, 86, 269, 107, 222)(62, 273, 111, 272, 110, 224)(63, 285, 123, 283, 121, 225)(67, 296, 134, 297, 135, 229)(68, 271, 109, 240, 78, 230)(70, 301, 139, 302, 140, 232)(72, 279, 117, 236, 74, 234)(76, 275, 113, 270, 108, 238)(79, 263, 101, 281, 119, 241)(81, 261, 99, 295, 133, 243)(83, 308, 146, 310, 148, 245)(84, 293, 131, 304, 142, 246)(88, 312, 150, 314, 152, 250)(91, 267, 105, 315, 153, 253)(93, 299, 137, 316, 154, 255)(97, 289, 127, 317, 155, 259)(100, 300, 138, 318, 156, 262)(103, 290, 128, 303, 141, 265)(125, 313, 151, 323, 161, 287)(126, 309, 147, 324, 162, 288)(129, 311, 149, 322, 160, 291)(130, 307, 145, 319, 157, 292)(132, 320, 158, 305, 143, 294)(136, 321, 159, 306, 144, 298)
	L = (1, 3)(2, 6)(4, 12)(5, 14)(7, 20)(8, 22)(9, 25)(10, 27)(11, 29)(13, 34)(15, 40)(16, 42)(17, 45)(18, 47)(19, 49)(21, 54)(23, 60)(24, 62)(26, 67)(28, 72)(30, 76)(31, 78)(32, 81)(33, 83)(35, 88)(36, 90)(37, 93)(38, 95)(39, 75)(41, 99)(43, 101)(44, 84)(46, 107)(48, 110)(50, 70)(51, 113)(52, 87)(53, 116)(55, 121)(56, 123)(57, 125)(58, 109)(59, 111)(61, 127)(63, 129)(64, 89)(65, 131)(66, 132)(68, 136)(69, 137)(71, 141)(73, 142)(74, 105)(77, 128)(79, 94)(80, 102)(82, 145)(85, 138)(86, 149)(91, 134)(92, 117)(96, 139)(97, 120)(98, 156)(100, 147)(103, 151)(104, 122)(106, 157)(108, 158)(112, 152)(114, 153)(115, 159)(118, 148)(119, 161)(124, 133)(126, 135)(130, 140)(143, 155)(144, 154)(146, 160)(150, 162)(163, 166)(164, 169)(165, 171)(167, 177)(168, 179)(170, 185)(172, 190)(173, 192)(174, 194)(175, 197)(176, 199)(178, 205)(180, 210)(181, 212)(182, 214)(183, 217)(184, 219)(186, 225)(187, 227)(188, 230)(189, 232)(191, 236)(193, 241)(195, 246)(196, 248)(198, 253)(200, 235)(201, 220)(202, 259)(203, 233)(204, 262)(206, 265)(207, 267)(208, 270)(209, 271)(211, 273)(213, 229)(215, 279)(216, 281)(218, 244)(221, 255)(222, 288)(223, 290)(224, 260)(226, 292)(228, 295)(231, 300)(234, 282)(237, 293)(238, 257)(239, 277)(240, 305)(242, 306)(243, 272)(245, 309)(247, 268)(249, 304)(250, 313)(251, 310)(252, 308)(254, 312)(256, 302)(258, 269)(261, 297)(263, 311)(264, 314)(266, 298)(274, 317)(275, 307)(276, 294)(278, 322)(280, 316)(283, 324)(284, 286)(285, 315)(287, 318)(289, 319)(291, 303)(296, 323)(299, 320)(301, 321)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2676
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 54 e = 162 f = 54
	degree seq :: [ 6^54 ]

E28.2679 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: halfedge^2
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 15>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y2, Y1^3, (R * Y1)^2, R * Y3 * R * Y2, (Y2 * Y1)^6, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map::
	R = (1, 164, 2, 166, 4, 163)(3, 168, 6, 169, 7, 165)(5, 171, 9, 172, 10, 167)(8, 175, 13, 176, 14, 170)(11, 179, 17, 180, 18, 173)(12, 181, 19, 182, 20, 174)(15, 185, 23, 186, 24, 177)(16, 187, 25, 188, 26, 178)(21, 193, 31, 194, 32, 183)(22, 195, 33, 196, 34, 184)(27, 201, 39, 202, 40, 189)(28, 203, 41, 204, 42, 190)(29, 205, 43, 206, 44, 191)(30, 207, 45, 197, 35, 192)(36, 211, 49, 212, 50, 198)(37, 213, 51, 214, 52, 199)(38, 215, 53, 208, 46, 200)(47, 222, 60, 223, 61, 209)(48, 224, 62, 225, 63, 210)(54, 231, 69, 232, 70, 216)(55, 233, 71, 234, 72, 217)(56, 235, 73, 219, 57, 218)(58, 236, 74, 237, 75, 220)(59, 238, 76, 239, 77, 221)(64, 244, 82, 245, 83, 226)(65, 246, 84, 228, 66, 227)(67, 247, 85, 248, 86, 229)(68, 249, 87, 250, 88, 230)(78, 260, 98, 261, 99, 240)(79, 262, 100, 242, 80, 241)(81, 263, 101, 264, 102, 243)(89, 272, 110, 273, 111, 251)(90, 274, 112, 253, 91, 252)(92, 275, 113, 276, 114, 254)(93, 277, 115, 278, 116, 255)(94, 279, 117, 280, 118, 256)(95, 281, 119, 258, 96, 257)(97, 282, 120, 265, 103, 259)(104, 287, 125, 288, 126, 266)(105, 289, 127, 290, 128, 267)(106, 291, 129, 292, 130, 268)(107, 293, 131, 270, 108, 269)(109, 294, 132, 283, 121, 271)(122, 305, 143, 306, 144, 284)(123, 307, 145, 308, 146, 285)(124, 309, 147, 310, 148, 286)(133, 315, 153, 314, 152, 295)(134, 313, 151, 312, 150, 296)(135, 311, 149, 319, 157, 297)(136, 318, 156, 299, 137, 298)(138, 317, 155, 301, 139, 300)(140, 316, 154, 320, 158, 302)(141, 321, 159, 322, 160, 303)(142, 323, 161, 324, 162, 304)
	L = (1, 3)(2, 5)(4, 8)(6, 11)(7, 12)(9, 15)(10, 16)(13, 21)(14, 22)(17, 27)(18, 28)(19, 29)(20, 30)(23, 35)(24, 36)(25, 37)(26, 38)(31, 46)(32, 47)(33, 48)(34, 39)(40, 54)(41, 55)(42, 56)(43, 57)(44, 58)(45, 59)(49, 64)(50, 65)(51, 66)(52, 67)(53, 68)(60, 78)(61, 79)(62, 80)(63, 81)(69, 89)(70, 90)(71, 91)(72, 92)(73, 93)(74, 94)(75, 95)(76, 96)(77, 97)(82, 103)(83, 104)(84, 105)(85, 106)(86, 107)(87, 108)(88, 109)(98, 121)(99, 122)(100, 123)(101, 124)(102, 110)(111, 133)(112, 134)(113, 135)(114, 136)(115, 137)(116, 138)(117, 139)(118, 140)(119, 141)(120, 142)(125, 149)(126, 150)(127, 151)(128, 152)(129, 153)(130, 154)(131, 155)(132, 156)(143, 157)(144, 162)(145, 161)(146, 160)(147, 159)(148, 158)(163, 165)(164, 167)(166, 170)(168, 173)(169, 174)(171, 177)(172, 178)(175, 183)(176, 184)(179, 189)(180, 190)(181, 191)(182, 192)(185, 197)(186, 198)(187, 199)(188, 200)(193, 208)(194, 209)(195, 210)(196, 201)(202, 216)(203, 217)(204, 218)(205, 219)(206, 220)(207, 221)(211, 226)(212, 227)(213, 228)(214, 229)(215, 230)(222, 240)(223, 241)(224, 242)(225, 243)(231, 251)(232, 252)(233, 253)(234, 254)(235, 255)(236, 256)(237, 257)(238, 258)(239, 259)(244, 265)(245, 266)(246, 267)(247, 268)(248, 269)(249, 270)(250, 271)(260, 283)(261, 284)(262, 285)(263, 286)(264, 272)(273, 295)(274, 296)(275, 297)(276, 298)(277, 299)(278, 300)(279, 301)(280, 302)(281, 303)(282, 304)(287, 311)(288, 312)(289, 313)(290, 314)(291, 315)(292, 316)(293, 317)(294, 318)(305, 319)(306, 324)(307, 323)(308, 322)(309, 321)(310, 320)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 54 e = 162 f = 54
	degree seq :: [ 6^54 ]

E28.2680 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: halfedge^2
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 15>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^3, R * Y3 * R * Y2, (R * Y1)^2, Y1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y2, Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1, (Y1^-1 * Y2 * Y3)^3, (Y2 * Y3 * Y1)^3, Y2 * Y3 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1^-1 * Y3 * Y1^-1, (Y3 * Y2 * Y1 * Y2 * Y1^-1)^2, Y1^-1 * Y2 * Y1^-1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y2 * Y3, (Y3 * Y1 * Y3 * Y2 * Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 164, 2, 167, 5, 163)(3, 170, 8, 172, 10, 165)(4, 173, 11, 175, 13, 166)(6, 178, 16, 180, 18, 168)(7, 181, 19, 183, 21, 169)(9, 186, 24, 188, 26, 171)(12, 193, 31, 195, 33, 174)(14, 198, 36, 200, 38, 176)(15, 201, 39, 203, 41, 177)(17, 206, 44, 208, 46, 179)(20, 213, 51, 215, 53, 182)(22, 212, 50, 218, 56, 184)(23, 205, 43, 220, 58, 185)(25, 223, 61, 225, 63, 187)(27, 217, 55, 229, 67, 189)(28, 230, 68, 232, 70, 190)(29, 233, 71, 235, 73, 191)(30, 236, 74, 224, 62, 192)(32, 222, 60, 240, 78, 194)(34, 216, 54, 243, 81, 196)(35, 244, 82, 246, 84, 197)(37, 247, 85, 249, 87, 199)(40, 253, 91, 254, 92, 202)(42, 252, 90, 256, 94, 204)(45, 259, 97, 260, 98, 207)(47, 255, 93, 264, 102, 209)(48, 265, 103, 267, 105, 210)(49, 268, 106, 270, 108, 211)(52, 258, 96, 273, 111, 214)(57, 242, 80, 261, 99, 219)(59, 269, 107, 266, 104, 221)(64, 279, 117, 283, 121, 226)(65, 284, 122, 286, 124, 227)(66, 287, 125, 289, 127, 228)(69, 274, 112, 234, 72, 231)(75, 298, 136, 262, 100, 237)(76, 297, 135, 263, 101, 238)(77, 257, 95, 275, 113, 239)(79, 302, 140, 303, 141, 241)(83, 305, 143, 306, 144, 245)(86, 295, 133, 308, 146, 248)(88, 300, 138, 310, 148, 250)(89, 278, 116, 311, 149, 251)(109, 291, 129, 309, 147, 271)(110, 277, 115, 307, 145, 272)(114, 292, 130, 316, 154, 276)(118, 321, 159, 313, 151, 280)(119, 301, 139, 320, 158, 281)(120, 319, 157, 322, 160, 282)(123, 323, 161, 299, 137, 285)(126, 314, 152, 294, 132, 288)(128, 296, 134, 317, 155, 290)(131, 304, 142, 312, 150, 293)(153, 324, 162, 318, 156, 315)
	L = (1, 3)(2, 6)(4, 12)(5, 14)(7, 20)(8, 22)(9, 25)(10, 27)(11, 29)(13, 34)(15, 40)(16, 42)(17, 45)(18, 47)(19, 49)(21, 54)(23, 57)(24, 59)(26, 64)(28, 69)(30, 75)(31, 76)(32, 55)(33, 63)(35, 83)(36, 62)(37, 86)(38, 84)(39, 89)(41, 81)(43, 95)(44, 79)(46, 99)(48, 104)(50, 109)(51, 110)(52, 93)(53, 98)(56, 114)(58, 117)(60, 118)(61, 119)(65, 123)(66, 126)(67, 124)(68, 111)(70, 121)(71, 131)(72, 132)(73, 115)(74, 134)(77, 87)(78, 138)(80, 105)(82, 129)(85, 112)(88, 141)(90, 122)(91, 125)(92, 146)(94, 150)(96, 139)(97, 120)(100, 152)(101, 153)(102, 136)(103, 144)(106, 155)(107, 156)(108, 127)(113, 148)(116, 130)(128, 160)(133, 151)(135, 149)(137, 145)(140, 161)(142, 158)(143, 157)(147, 162)(154, 159)(163, 166)(164, 169)(165, 171)(167, 177)(168, 179)(170, 185)(172, 190)(173, 192)(174, 194)(175, 197)(176, 199)(178, 205)(180, 210)(181, 212)(182, 214)(183, 217)(184, 207)(186, 222)(187, 224)(188, 227)(189, 228)(191, 234)(193, 239)(195, 241)(196, 242)(198, 220)(200, 250)(201, 252)(202, 245)(203, 255)(204, 248)(206, 258)(208, 262)(209, 263)(211, 269)(213, 226)(215, 274)(216, 275)(218, 277)(219, 278)(221, 254)(223, 270)(225, 282)(229, 290)(230, 291)(231, 285)(232, 292)(233, 257)(235, 295)(236, 297)(237, 299)(238, 294)(240, 301)(243, 283)(244, 304)(246, 307)(247, 305)(249, 309)(251, 302)(253, 261)(256, 289)(259, 311)(260, 313)(264, 316)(265, 286)(266, 314)(267, 293)(268, 279)(271, 288)(272, 318)(273, 319)(276, 320)(280, 306)(281, 308)(284, 315)(287, 323)(296, 321)(298, 300)(303, 324)(310, 317)(312, 322)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2681
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 54 e = 162 f = 54
	degree seq :: [ 6^54 ]

E28.2681 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: halfedge^2
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 15>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^3, Y1^3, R * Y3 * R * Y2, (R * Y1)^2, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y3 * Y1 * Y3, (Y3 * Y2 * Y1^-1)^3, (Y3 * Y2 * Y1^-1)^3, (Y3 * Y1 * Y2)^3, (Y2 * Y3 * Y1)^3, (Y1^-1 * Y2 * Y3)^3, Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1, (Y2 * Y3 * Y1)^3, Y1^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1 * Y3, Y2 * Y1^-1 * Y3 * Y2 * Y1 * Y3 * Y1 * Y2 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 164, 2, 167, 5, 163)(3, 170, 8, 172, 10, 165)(4, 173, 11, 175, 13, 166)(6, 178, 16, 180, 18, 168)(7, 181, 19, 183, 21, 169)(9, 186, 24, 188, 26, 171)(12, 193, 31, 195, 33, 174)(14, 198, 36, 200, 38, 176)(15, 201, 39, 203, 41, 177)(17, 206, 44, 208, 46, 179)(20, 213, 51, 215, 53, 182)(22, 212, 50, 219, 57, 184)(23, 205, 43, 221, 59, 185)(25, 224, 62, 226, 64, 187)(27, 217, 55, 230, 68, 189)(28, 231, 69, 233, 71, 190)(29, 234, 72, 236, 74, 191)(30, 237, 75, 239, 77, 192)(32, 242, 80, 244, 82, 194)(34, 216, 54, 248, 86, 196)(35, 249, 87, 251, 89, 197)(37, 252, 90, 254, 92, 199)(40, 258, 96, 260, 98, 202)(42, 257, 95, 262, 100, 204)(45, 265, 103, 266, 104, 207)(47, 261, 99, 270, 108, 209)(48, 271, 109, 273, 111, 210)(49, 243, 81, 275, 113, 211)(52, 278, 116, 280, 118, 214)(56, 264, 102, 281, 119, 218)(58, 247, 85, 267, 105, 220)(60, 274, 112, 272, 110, 222)(61, 245, 83, 284, 122, 223)(63, 255, 93, 289, 127, 225)(65, 286, 124, 291, 129, 227)(66, 292, 130, 294, 132, 228)(67, 295, 133, 297, 135, 229)(70, 282, 120, 235, 73, 232)(76, 303, 141, 268, 106, 238)(78, 302, 140, 269, 107, 240)(79, 263, 101, 283, 121, 241)(84, 309, 147, 310, 148, 246)(88, 312, 150, 313, 151, 250)(91, 301, 139, 315, 153, 253)(94, 279, 117, 317, 155, 256)(97, 311, 149, 318, 156, 259)(114, 298, 136, 316, 154, 276)(115, 285, 123, 314, 152, 277)(125, 307, 145, 324, 162, 287)(126, 308, 146, 319, 157, 288)(128, 323, 161, 306, 144, 290)(131, 321, 159, 300, 138, 293)(134, 322, 160, 304, 142, 296)(137, 320, 158, 305, 143, 299)
	L = (1, 3)(2, 6)(4, 12)(5, 14)(7, 20)(8, 22)(9, 25)(10, 27)(11, 29)(13, 34)(15, 40)(16, 42)(17, 45)(18, 47)(19, 49)(21, 54)(23, 58)(24, 60)(26, 65)(28, 70)(30, 76)(31, 78)(32, 81)(33, 83)(35, 88)(36, 77)(37, 91)(38, 89)(39, 94)(41, 86)(43, 101)(44, 84)(46, 105)(48, 110)(50, 114)(51, 115)(52, 117)(53, 119)(55, 122)(56, 99)(57, 104)(59, 124)(61, 125)(62, 126)(63, 121)(64, 75)(66, 131)(67, 134)(68, 132)(69, 118)(71, 129)(72, 97)(73, 138)(74, 123)(79, 92)(80, 144)(82, 127)(85, 111)(87, 136)(90, 120)(93, 148)(95, 130)(96, 133)(98, 151)(100, 153)(102, 128)(103, 145)(106, 158)(107, 159)(108, 141)(109, 156)(112, 137)(113, 135)(116, 146)(139, 161)(140, 155)(142, 154)(143, 152)(147, 160)(149, 162)(150, 157)(163, 166)(164, 169)(165, 171)(167, 177)(168, 179)(170, 185)(172, 190)(173, 192)(174, 194)(175, 197)(176, 199)(178, 205)(180, 210)(181, 212)(182, 214)(183, 217)(184, 218)(186, 223)(187, 225)(188, 228)(189, 229)(191, 235)(193, 241)(195, 246)(196, 247)(198, 221)(200, 255)(201, 257)(202, 259)(203, 261)(204, 250)(206, 264)(207, 233)(208, 268)(209, 269)(211, 274)(213, 227)(215, 282)(216, 283)(219, 285)(220, 279)(222, 260)(224, 275)(226, 290)(230, 242)(231, 298)(232, 299)(234, 263)(236, 301)(237, 302)(238, 304)(239, 284)(240, 305)(243, 286)(244, 307)(245, 308)(248, 291)(249, 311)(251, 314)(252, 312)(253, 273)(254, 316)(256, 309)(258, 267)(262, 297)(265, 317)(266, 319)(270, 278)(271, 294)(272, 322)(276, 293)(277, 296)(280, 323)(281, 324)(287, 315)(288, 318)(289, 303)(292, 320)(295, 321)(300, 310)(306, 313)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2680
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 54 e = 162 f = 54
	degree seq :: [ 6^54 ]

E28.2682 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 15>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y1, Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y3, Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1, Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y2 * Y1 * Y2, (Y1 * Y2 * Y3^-1)^3, (Y1 * Y3 * Y2)^3, (Y1 * Y3^-1 * Y2)^3, Y3 * Y2 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y2 * Y3 * Y1, Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y2 * Y1 ]
Map:: polytopal
	R = (1, 163, 4, 166, 5, 167)(2, 164, 7, 169, 8, 170)(3, 165, 10, 172, 11, 173)(6, 168, 17, 179, 18, 180)(9, 171, 24, 186, 25, 187)(12, 174, 31, 193, 32, 194)(13, 175, 34, 196, 35, 197)(14, 176, 37, 199, 38, 200)(15, 177, 40, 202, 41, 203)(16, 178, 43, 205, 44, 206)(19, 181, 50, 212, 51, 213)(20, 182, 53, 215, 54, 216)(21, 183, 56, 218, 57, 219)(22, 184, 59, 221, 60, 222)(23, 185, 62, 224, 63, 225)(26, 188, 67, 229, 68, 230)(27, 189, 69, 231, 70, 232)(28, 190, 72, 234, 73, 235)(29, 191, 74, 236, 75, 237)(30, 192, 76, 238, 77, 239)(33, 195, 80, 242, 81, 243)(36, 198, 84, 246, 85, 247)(39, 201, 88, 250, 89, 251)(42, 204, 93, 255, 94, 256)(45, 207, 97, 259, 98, 260)(46, 208, 99, 261, 100, 262)(47, 209, 101, 263, 102, 264)(48, 210, 103, 265, 104, 266)(49, 211, 105, 267, 106, 268)(52, 214, 71, 233, 109, 271)(55, 217, 112, 274, 113, 275)(58, 220, 116, 278, 66, 228)(61, 223, 120, 282, 121, 283)(64, 226, 124, 286, 125, 287)(65, 227, 126, 288, 127, 289)(78, 240, 136, 298, 91, 253)(79, 241, 137, 299, 87, 249)(82, 244, 138, 300, 90, 252)(83, 245, 139, 301, 86, 248)(92, 254, 141, 303, 135, 297)(95, 257, 143, 305, 144, 306)(96, 258, 145, 307, 146, 308)(107, 269, 152, 314, 118, 280)(108, 270, 153, 315, 115, 277)(110, 272, 154, 316, 117, 279)(111, 273, 155, 317, 114, 276)(119, 281, 140, 302, 134, 296)(122, 284, 147, 309, 158, 320)(123, 285, 159, 321, 149, 311)(128, 290, 160, 322, 133, 295)(129, 291, 161, 323, 132, 294)(130, 292, 162, 324, 131, 293)(142, 304, 156, 318, 151, 313)(148, 310, 157, 319, 150, 312)(325, 326)(327, 333)(328, 336)(329, 338)(330, 340)(331, 343)(332, 345)(334, 350)(335, 352)(337, 357)(339, 363)(341, 369)(342, 371)(344, 376)(346, 382)(347, 385)(348, 373)(349, 379)(351, 370)(353, 372)(354, 367)(355, 402)(356, 394)(358, 406)(359, 392)(360, 368)(361, 398)(362, 410)(364, 396)(365, 414)(366, 416)(374, 431)(375, 424)(377, 434)(378, 422)(380, 427)(381, 438)(383, 425)(384, 441)(386, 446)(387, 447)(388, 409)(389, 400)(390, 444)(391, 452)(393, 453)(395, 445)(397, 455)(399, 456)(401, 433)(403, 448)(404, 459)(405, 430)(407, 458)(408, 440)(411, 451)(412, 436)(413, 465)(415, 464)(417, 457)(418, 454)(419, 437)(420, 429)(421, 471)(423, 472)(426, 473)(428, 474)(432, 467)(435, 475)(439, 470)(442, 480)(443, 481)(449, 482)(450, 483)(460, 479)(461, 478)(462, 477)(463, 476)(466, 485)(468, 484)(469, 486)(487, 489)(488, 492)(490, 499)(491, 501)(493, 506)(494, 508)(495, 509)(496, 513)(497, 515)(498, 516)(500, 522)(502, 528)(503, 532)(504, 534)(505, 535)(507, 541)(510, 550)(511, 551)(512, 552)(514, 557)(517, 565)(518, 540)(519, 548)(520, 569)(521, 537)(523, 545)(524, 573)(525, 549)(526, 542)(527, 577)(529, 581)(530, 582)(531, 575)(533, 566)(536, 594)(538, 579)(539, 597)(543, 601)(544, 580)(546, 604)(547, 605)(553, 596)(554, 611)(555, 616)(556, 592)(558, 612)(559, 603)(560, 598)(561, 619)(562, 620)(563, 586)(564, 621)(567, 602)(568, 583)(570, 589)(571, 626)(572, 627)(574, 595)(576, 588)(578, 628)(584, 630)(585, 609)(587, 631)(590, 608)(591, 637)(593, 607)(599, 642)(600, 606)(610, 629)(613, 632)(614, 634)(615, 633)(617, 636)(618, 635)(622, 648)(623, 647)(624, 640)(625, 646)(638, 645)(639, 643)(641, 644)
	L = (1, 325)(2, 326)(3, 327)(4, 328)(5, 329)(6, 330)(7, 331)(8, 332)(9, 333)(10, 334)(11, 335)(12, 336)(13, 337)(14, 338)(15, 339)(16, 340)(17, 341)(18, 342)(19, 343)(20, 344)(21, 345)(22, 346)(23, 347)(24, 348)(25, 349)(26, 350)(27, 351)(28, 352)(29, 353)(30, 354)(31, 355)(32, 356)(33, 357)(34, 358)(35, 359)(36, 360)(37, 361)(38, 362)(39, 363)(40, 364)(41, 365)(42, 366)(43, 367)(44, 368)(45, 369)(46, 370)(47, 371)(48, 372)(49, 373)(50, 374)(51, 375)(52, 376)(53, 377)(54, 378)(55, 379)(56, 380)(57, 381)(58, 382)(59, 383)(60, 384)(61, 385)(62, 386)(63, 387)(64, 388)(65, 389)(66, 390)(67, 391)(68, 392)(69, 393)(70, 394)(71, 395)(72, 396)(73, 397)(74, 398)(75, 399)(76, 400)(77, 401)(78, 402)(79, 403)(80, 404)(81, 405)(82, 406)(83, 407)(84, 408)(85, 409)(86, 410)(87, 411)(88, 412)(89, 413)(90, 414)(91, 415)(92, 416)(93, 417)(94, 418)(95, 419)(96, 420)(97, 421)(98, 422)(99, 423)(100, 424)(101, 425)(102, 426)(103, 427)(104, 428)(105, 429)(106, 430)(107, 431)(108, 432)(109, 433)(110, 434)(111, 435)(112, 436)(113, 437)(114, 438)(115, 439)(116, 440)(117, 441)(118, 442)(119, 443)(120, 444)(121, 445)(122, 446)(123, 447)(124, 448)(125, 449)(126, 450)(127, 451)(128, 452)(129, 453)(130, 454)(131, 455)(132, 456)(133, 457)(134, 458)(135, 459)(136, 460)(137, 461)(138, 462)(139, 463)(140, 464)(141, 465)(142, 466)(143, 467)(144, 468)(145, 469)(146, 470)(147, 471)(148, 472)(149, 473)(150, 474)(151, 475)(152, 476)(153, 477)(154, 478)(155, 479)(156, 480)(157, 481)(158, 482)(159, 483)(160, 484)(161, 485)(162, 486)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2695
Graph:: simple bipartite
	v = 216 e = 324 f = 54
	degree seq :: [ 2^162, 6^54 ]

E28.2683 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 14>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, Y3^3, R * Y1 * R * Y2, (R * Y3)^2, (Y3 * Y1 * Y3^-1 * Y1)^3, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 163, 3, 165, 4, 166)(2, 164, 5, 167, 6, 168)(7, 169, 11, 173, 12, 174)(8, 170, 13, 175, 14, 176)(9, 171, 15, 177, 16, 178)(10, 172, 17, 179, 18, 180)(19, 181, 27, 189, 28, 190)(20, 182, 29, 191, 30, 192)(21, 183, 31, 193, 32, 194)(22, 184, 33, 195, 34, 196)(23, 185, 35, 197, 36, 198)(24, 186, 37, 199, 38, 200)(25, 187, 39, 201, 40, 202)(26, 188, 41, 203, 42, 204)(43, 205, 55, 217, 56, 218)(44, 206, 47, 209, 57, 219)(45, 207, 58, 220, 59, 221)(46, 208, 60, 222, 61, 223)(48, 210, 62, 224, 63, 225)(49, 211, 64, 226, 65, 227)(50, 212, 53, 215, 66, 228)(51, 213, 67, 229, 68, 230)(52, 214, 69, 231, 70, 232)(54, 216, 71, 233, 72, 234)(73, 235, 91, 253, 92, 254)(74, 236, 76, 238, 93, 255)(75, 237, 94, 256, 95, 257)(77, 239, 96, 258, 97, 259)(78, 240, 98, 260, 99, 261)(79, 241, 80, 242, 100, 262)(81, 243, 101, 263, 102, 264)(82, 244, 103, 265, 104, 266)(83, 245, 85, 247, 105, 267)(84, 246, 106, 268, 107, 269)(86, 248, 108, 270, 109, 271)(87, 249, 110, 272, 111, 273)(88, 250, 89, 251, 112, 274)(90, 252, 113, 275, 114, 276)(115, 277, 135, 297, 136, 298)(116, 278, 118, 280, 137, 299)(117, 279, 138, 300, 139, 301)(119, 281, 123, 285, 140, 302)(120, 282, 141, 303, 142, 304)(121, 283, 143, 305, 144, 306)(122, 284, 145, 307, 146, 308)(124, 286, 147, 309, 148, 310)(125, 287, 149, 311, 150, 312)(126, 288, 128, 290, 151, 313)(127, 289, 152, 314, 153, 315)(129, 291, 133, 295, 154, 316)(130, 292, 155, 317, 156, 318)(131, 293, 157, 319, 158, 320)(132, 294, 159, 321, 160, 322)(134, 296, 161, 323, 162, 324)(325, 326)(327, 331)(328, 332)(329, 333)(330, 334)(335, 343)(336, 344)(337, 345)(338, 346)(339, 347)(340, 348)(341, 349)(342, 350)(351, 367)(352, 368)(353, 361)(354, 369)(355, 370)(356, 364)(357, 371)(358, 372)(359, 373)(360, 374)(362, 375)(363, 376)(365, 377)(366, 378)(379, 397)(380, 398)(381, 399)(382, 400)(383, 401)(384, 402)(385, 403)(386, 404)(387, 405)(388, 406)(389, 407)(390, 408)(391, 409)(392, 410)(393, 411)(394, 412)(395, 413)(396, 414)(415, 439)(416, 440)(417, 441)(418, 442)(419, 443)(420, 432)(421, 444)(422, 445)(423, 435)(424, 446)(425, 447)(426, 448)(427, 449)(428, 450)(429, 451)(430, 452)(431, 453)(433, 454)(434, 455)(436, 456)(437, 457)(438, 458)(459, 473)(460, 481)(461, 475)(462, 482)(463, 483)(464, 478)(465, 484)(466, 485)(467, 474)(468, 476)(469, 477)(470, 479)(471, 480)(472, 486)(487, 488)(489, 493)(490, 494)(491, 495)(492, 496)(497, 505)(498, 506)(499, 507)(500, 508)(501, 509)(502, 510)(503, 511)(504, 512)(513, 529)(514, 530)(515, 523)(516, 531)(517, 532)(518, 526)(519, 533)(520, 534)(521, 535)(522, 536)(524, 537)(525, 538)(527, 539)(528, 540)(541, 559)(542, 560)(543, 561)(544, 562)(545, 563)(546, 564)(547, 565)(548, 566)(549, 567)(550, 568)(551, 569)(552, 570)(553, 571)(554, 572)(555, 573)(556, 574)(557, 575)(558, 576)(577, 601)(578, 602)(579, 603)(580, 604)(581, 605)(582, 594)(583, 606)(584, 607)(585, 597)(586, 608)(587, 609)(588, 610)(589, 611)(590, 612)(591, 613)(592, 614)(593, 615)(595, 616)(596, 617)(598, 618)(599, 619)(600, 620)(621, 635)(622, 643)(623, 637)(624, 644)(625, 645)(626, 640)(627, 646)(628, 647)(629, 636)(630, 638)(631, 639)(632, 641)(633, 642)(634, 648)
	L = (1, 325)(2, 326)(3, 327)(4, 328)(5, 329)(6, 330)(7, 331)(8, 332)(9, 333)(10, 334)(11, 335)(12, 336)(13, 337)(14, 338)(15, 339)(16, 340)(17, 341)(18, 342)(19, 343)(20, 344)(21, 345)(22, 346)(23, 347)(24, 348)(25, 349)(26, 350)(27, 351)(28, 352)(29, 353)(30, 354)(31, 355)(32, 356)(33, 357)(34, 358)(35, 359)(36, 360)(37, 361)(38, 362)(39, 363)(40, 364)(41, 365)(42, 366)(43, 367)(44, 368)(45, 369)(46, 370)(47, 371)(48, 372)(49, 373)(50, 374)(51, 375)(52, 376)(53, 377)(54, 378)(55, 379)(56, 380)(57, 381)(58, 382)(59, 383)(60, 384)(61, 385)(62, 386)(63, 387)(64, 388)(65, 389)(66, 390)(67, 391)(68, 392)(69, 393)(70, 394)(71, 395)(72, 396)(73, 397)(74, 398)(75, 399)(76, 400)(77, 401)(78, 402)(79, 403)(80, 404)(81, 405)(82, 406)(83, 407)(84, 408)(85, 409)(86, 410)(87, 411)(88, 412)(89, 413)(90, 414)(91, 415)(92, 416)(93, 417)(94, 418)(95, 419)(96, 420)(97, 421)(98, 422)(99, 423)(100, 424)(101, 425)(102, 426)(103, 427)(104, 428)(105, 429)(106, 430)(107, 431)(108, 432)(109, 433)(110, 434)(111, 435)(112, 436)(113, 437)(114, 438)(115, 439)(116, 440)(117, 441)(118, 442)(119, 443)(120, 444)(121, 445)(122, 446)(123, 447)(124, 448)(125, 449)(126, 450)(127, 451)(128, 452)(129, 453)(130, 454)(131, 455)(132, 456)(133, 457)(134, 458)(135, 459)(136, 460)(137, 461)(138, 462)(139, 463)(140, 464)(141, 465)(142, 466)(143, 467)(144, 468)(145, 469)(146, 470)(147, 471)(148, 472)(149, 473)(150, 474)(151, 475)(152, 476)(153, 477)(154, 478)(155, 479)(156, 480)(157, 481)(158, 482)(159, 483)(160, 484)(161, 485)(162, 486)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2691
Graph:: simple bipartite
	v = 216 e = 324 f = 54
	degree seq :: [ 2^162, 6^54 ]

E28.2684 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 15>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y2 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1, (Y3^-1 * Y1 * Y2)^3, (Y3 * Y2 * Y1)^3, (Y2 * Y3^-1 * Y1)^3, (Y1 * Y3^-1 * Y2)^3, (Y2 * Y1 * Y3)^3, Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y3^-1, Y2 * Y1 * Y3^-1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1, Y3 * Y2 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y2 * Y3 * Y1 ]
Map:: polytopal
	R = (1, 163, 4, 166, 5, 167)(2, 164, 7, 169, 8, 170)(3, 165, 10, 172, 11, 173)(6, 168, 17, 179, 18, 180)(9, 171, 24, 186, 25, 187)(12, 174, 31, 193, 32, 194)(13, 175, 34, 196, 35, 197)(14, 176, 37, 199, 38, 200)(15, 177, 40, 202, 41, 203)(16, 178, 43, 205, 44, 206)(19, 181, 50, 212, 51, 213)(20, 182, 53, 215, 54, 216)(21, 183, 56, 218, 57, 219)(22, 184, 59, 221, 60, 222)(23, 185, 62, 224, 63, 225)(26, 188, 69, 231, 70, 232)(27, 189, 72, 234, 73, 235)(28, 190, 75, 237, 76, 238)(29, 191, 78, 240, 79, 241)(30, 192, 81, 243, 82, 244)(33, 195, 85, 247, 86, 248)(36, 198, 91, 253, 92, 254)(39, 201, 97, 259, 98, 260)(42, 204, 101, 263, 83, 245)(45, 207, 105, 267, 106, 268)(46, 208, 108, 270, 109, 271)(47, 209, 110, 272, 111, 273)(48, 210, 113, 275, 64, 226)(49, 211, 115, 277, 116, 278)(52, 214, 74, 236, 118, 280)(55, 217, 121, 283, 122, 284)(58, 220, 127, 289, 68, 230)(61, 223, 99, 261, 104, 266)(65, 227, 132, 294, 133, 295)(66, 228, 135, 297, 136, 298)(67, 229, 100, 262, 128, 290)(71, 233, 138, 300, 139, 301)(77, 239, 145, 307, 146, 308)(80, 242, 147, 309, 143, 305)(84, 246, 149, 311, 141, 303)(87, 249, 93, 255, 150, 312)(88, 250, 151, 313, 126, 288)(89, 251, 95, 257, 152, 314)(90, 252, 123, 285, 153, 315)(94, 256, 137, 299, 154, 316)(96, 258, 119, 281, 155, 317)(102, 264, 130, 292, 157, 319)(103, 265, 158, 320, 131, 293)(107, 269, 142, 304, 159, 321)(112, 274, 162, 324, 129, 291)(114, 276, 144, 306, 161, 323)(117, 279, 134, 296, 160, 322)(120, 282, 125, 287, 148, 310)(124, 286, 156, 318, 140, 302)(325, 326)(327, 333)(328, 336)(329, 338)(330, 340)(331, 343)(332, 345)(334, 350)(335, 352)(337, 357)(339, 363)(341, 369)(342, 371)(344, 376)(346, 382)(347, 385)(348, 388)(349, 390)(351, 395)(353, 401)(354, 404)(355, 396)(356, 402)(358, 393)(359, 412)(360, 414)(361, 417)(362, 419)(364, 394)(365, 423)(366, 424)(367, 403)(368, 427)(370, 431)(372, 436)(373, 438)(374, 432)(375, 437)(377, 429)(378, 443)(379, 411)(380, 447)(381, 449)(383, 430)(384, 452)(386, 425)(387, 454)(389, 416)(391, 405)(392, 461)(397, 444)(398, 466)(399, 448)(400, 408)(406, 442)(407, 456)(409, 462)(410, 440)(413, 433)(415, 451)(418, 434)(420, 450)(421, 445)(422, 480)(426, 446)(428, 439)(435, 441)(453, 477)(455, 479)(457, 485)(458, 464)(459, 483)(460, 475)(463, 482)(465, 486)(467, 481)(468, 472)(469, 484)(470, 474)(471, 476)(473, 478)(487, 489)(488, 492)(490, 499)(491, 501)(493, 506)(494, 508)(495, 509)(496, 513)(497, 515)(498, 516)(500, 522)(502, 528)(503, 532)(504, 534)(505, 535)(507, 541)(510, 551)(511, 553)(512, 554)(514, 560)(517, 569)(518, 545)(519, 570)(520, 573)(521, 575)(523, 580)(524, 546)(525, 582)(526, 537)(527, 543)(529, 588)(530, 590)(531, 584)(533, 571)(536, 549)(538, 603)(539, 576)(540, 606)(542, 610)(544, 612)(547, 592)(548, 615)(550, 617)(552, 620)(555, 591)(556, 586)(557, 581)(558, 626)(559, 627)(561, 629)(562, 614)(563, 630)(564, 599)(565, 622)(566, 623)(567, 634)(568, 625)(572, 613)(574, 619)(577, 631)(578, 608)(579, 621)(583, 604)(585, 597)(587, 632)(589, 635)(593, 611)(594, 640)(595, 646)(596, 647)(598, 633)(600, 642)(601, 638)(602, 645)(605, 643)(607, 648)(609, 644)(616, 624)(618, 628)(636, 641)(637, 639)
	L = (1, 325)(2, 326)(3, 327)(4, 328)(5, 329)(6, 330)(7, 331)(8, 332)(9, 333)(10, 334)(11, 335)(12, 336)(13, 337)(14, 338)(15, 339)(16, 340)(17, 341)(18, 342)(19, 343)(20, 344)(21, 345)(22, 346)(23, 347)(24, 348)(25, 349)(26, 350)(27, 351)(28, 352)(29, 353)(30, 354)(31, 355)(32, 356)(33, 357)(34, 358)(35, 359)(36, 360)(37, 361)(38, 362)(39, 363)(40, 364)(41, 365)(42, 366)(43, 367)(44, 368)(45, 369)(46, 370)(47, 371)(48, 372)(49, 373)(50, 374)(51, 375)(52, 376)(53, 377)(54, 378)(55, 379)(56, 380)(57, 381)(58, 382)(59, 383)(60, 384)(61, 385)(62, 386)(63, 387)(64, 388)(65, 389)(66, 390)(67, 391)(68, 392)(69, 393)(70, 394)(71, 395)(72, 396)(73, 397)(74, 398)(75, 399)(76, 400)(77, 401)(78, 402)(79, 403)(80, 404)(81, 405)(82, 406)(83, 407)(84, 408)(85, 409)(86, 410)(87, 411)(88, 412)(89, 413)(90, 414)(91, 415)(92, 416)(93, 417)(94, 418)(95, 419)(96, 420)(97, 421)(98, 422)(99, 423)(100, 424)(101, 425)(102, 426)(103, 427)(104, 428)(105, 429)(106, 430)(107, 431)(108, 432)(109, 433)(110, 434)(111, 435)(112, 436)(113, 437)(114, 438)(115, 439)(116, 440)(117, 441)(118, 442)(119, 443)(120, 444)(121, 445)(122, 446)(123, 447)(124, 448)(125, 449)(126, 450)(127, 451)(128, 452)(129, 453)(130, 454)(131, 455)(132, 456)(133, 457)(134, 458)(135, 459)(136, 460)(137, 461)(138, 462)(139, 463)(140, 464)(141, 465)(142, 466)(143, 467)(144, 468)(145, 469)(146, 470)(147, 471)(148, 472)(149, 473)(150, 474)(151, 475)(152, 476)(153, 477)(154, 478)(155, 479)(156, 480)(157, 481)(158, 482)(159, 483)(160, 484)(161, 485)(162, 486)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2694
Graph:: simple bipartite
	v = 216 e = 324 f = 54
	degree seq :: [ 2^162, 6^54 ]

E28.2685 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 15>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, Y3^3, R * Y1 * R * Y2, (R * Y3)^2, (Y1 * Y3^-1)^6, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1, (Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1)^3 ]
Map::
	R = (1, 163, 3, 165, 4, 166)(2, 164, 5, 167, 6, 168)(7, 169, 11, 173, 12, 174)(8, 170, 13, 175, 14, 176)(9, 171, 15, 177, 16, 178)(10, 172, 17, 179, 18, 180)(19, 181, 27, 189, 28, 190)(20, 182, 29, 191, 30, 192)(21, 183, 31, 193, 32, 194)(22, 184, 33, 195, 34, 196)(23, 185, 35, 197, 36, 198)(24, 186, 37, 199, 38, 200)(25, 187, 39, 201, 40, 202)(26, 188, 41, 203, 42, 204)(43, 205, 55, 217, 56, 218)(44, 206, 57, 219, 58, 220)(45, 207, 59, 221, 46, 208)(47, 209, 60, 222, 61, 223)(48, 210, 62, 224, 63, 225)(49, 211, 64, 226, 65, 227)(50, 212, 66, 228, 67, 229)(51, 213, 68, 230, 52, 214)(53, 215, 69, 231, 70, 232)(54, 216, 71, 233, 72, 234)(73, 235, 91, 253, 92, 254)(74, 236, 93, 255, 75, 237)(76, 238, 94, 256, 95, 257)(77, 239, 96, 258, 97, 259)(78, 240, 98, 260, 99, 261)(79, 241, 100, 262, 80, 242)(81, 243, 101, 263, 102, 264)(82, 244, 103, 265, 104, 266)(83, 245, 105, 267, 84, 246)(85, 247, 106, 268, 107, 269)(86, 248, 108, 270, 109, 271)(87, 249, 110, 272, 111, 273)(88, 250, 112, 274, 89, 251)(90, 252, 113, 275, 114, 276)(115, 277, 135, 297, 136, 298)(116, 278, 137, 299, 138, 300)(117, 279, 139, 301, 140, 302)(118, 280, 141, 303, 119, 281)(120, 282, 142, 304, 121, 283)(122, 284, 143, 305, 144, 306)(123, 285, 145, 307, 146, 308)(124, 286, 147, 309, 148, 310)(125, 287, 149, 311, 150, 312)(126, 288, 151, 313, 152, 314)(127, 289, 153, 315, 154, 316)(128, 290, 155, 317, 129, 291)(130, 292, 156, 318, 131, 293)(132, 294, 157, 319, 158, 320)(133, 295, 159, 321, 160, 322)(134, 296, 161, 323, 162, 324)(325, 326)(327, 331)(328, 332)(329, 333)(330, 334)(335, 343)(336, 344)(337, 345)(338, 346)(339, 347)(340, 348)(341, 349)(342, 350)(351, 366)(352, 367)(353, 368)(354, 369)(355, 370)(356, 371)(357, 372)(358, 359)(360, 373)(361, 374)(362, 375)(363, 376)(364, 377)(365, 378)(379, 397)(380, 398)(381, 399)(382, 400)(383, 401)(384, 402)(385, 403)(386, 404)(387, 405)(388, 406)(389, 407)(390, 408)(391, 409)(392, 410)(393, 411)(394, 412)(395, 413)(396, 414)(415, 438)(416, 439)(417, 440)(418, 441)(419, 442)(420, 443)(421, 444)(422, 445)(423, 446)(424, 447)(425, 448)(426, 427)(428, 449)(429, 450)(430, 451)(431, 452)(432, 453)(433, 454)(434, 455)(435, 456)(436, 457)(437, 458)(459, 477)(460, 476)(461, 475)(462, 474)(463, 473)(464, 481)(465, 480)(466, 479)(467, 478)(468, 486)(469, 485)(470, 484)(471, 483)(472, 482)(487, 488)(489, 493)(490, 494)(491, 495)(492, 496)(497, 505)(498, 506)(499, 507)(500, 508)(501, 509)(502, 510)(503, 511)(504, 512)(513, 528)(514, 529)(515, 530)(516, 531)(517, 532)(518, 533)(519, 534)(520, 521)(522, 535)(523, 536)(524, 537)(525, 538)(526, 539)(527, 540)(541, 559)(542, 560)(543, 561)(544, 562)(545, 563)(546, 564)(547, 565)(548, 566)(549, 567)(550, 568)(551, 569)(552, 570)(553, 571)(554, 572)(555, 573)(556, 574)(557, 575)(558, 576)(577, 600)(578, 601)(579, 602)(580, 603)(581, 604)(582, 605)(583, 606)(584, 607)(585, 608)(586, 609)(587, 610)(588, 589)(590, 611)(591, 612)(592, 613)(593, 614)(594, 615)(595, 616)(596, 617)(597, 618)(598, 619)(599, 620)(621, 639)(622, 638)(623, 637)(624, 636)(625, 635)(626, 643)(627, 642)(628, 641)(629, 640)(630, 648)(631, 647)(632, 646)(633, 645)(634, 644)
	L = (1, 325)(2, 326)(3, 327)(4, 328)(5, 329)(6, 330)(7, 331)(8, 332)(9, 333)(10, 334)(11, 335)(12, 336)(13, 337)(14, 338)(15, 339)(16, 340)(17, 341)(18, 342)(19, 343)(20, 344)(21, 345)(22, 346)(23, 347)(24, 348)(25, 349)(26, 350)(27, 351)(28, 352)(29, 353)(30, 354)(31, 355)(32, 356)(33, 357)(34, 358)(35, 359)(36, 360)(37, 361)(38, 362)(39, 363)(40, 364)(41, 365)(42, 366)(43, 367)(44, 368)(45, 369)(46, 370)(47, 371)(48, 372)(49, 373)(50, 374)(51, 375)(52, 376)(53, 377)(54, 378)(55, 379)(56, 380)(57, 381)(58, 382)(59, 383)(60, 384)(61, 385)(62, 386)(63, 387)(64, 388)(65, 389)(66, 390)(67, 391)(68, 392)(69, 393)(70, 394)(71, 395)(72, 396)(73, 397)(74, 398)(75, 399)(76, 400)(77, 401)(78, 402)(79, 403)(80, 404)(81, 405)(82, 406)(83, 407)(84, 408)(85, 409)(86, 410)(87, 411)(88, 412)(89, 413)(90, 414)(91, 415)(92, 416)(93, 417)(94, 418)(95, 419)(96, 420)(97, 421)(98, 422)(99, 423)(100, 424)(101, 425)(102, 426)(103, 427)(104, 428)(105, 429)(106, 430)(107, 431)(108, 432)(109, 433)(110, 434)(111, 435)(112, 436)(113, 437)(114, 438)(115, 439)(116, 440)(117, 441)(118, 442)(119, 443)(120, 444)(121, 445)(122, 446)(123, 447)(124, 448)(125, 449)(126, 450)(127, 451)(128, 452)(129, 453)(130, 454)(131, 455)(132, 456)(133, 457)(134, 458)(135, 459)(136, 460)(137, 461)(138, 462)(139, 463)(140, 464)(141, 465)(142, 466)(143, 467)(144, 468)(145, 469)(146, 470)(147, 471)(148, 472)(149, 473)(150, 474)(151, 475)(152, 476)(153, 477)(154, 478)(155, 479)(156, 480)(157, 481)(158, 482)(159, 483)(160, 484)(161, 485)(162, 486)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2693
Graph:: simple bipartite
	v = 216 e = 324 f = 54
	degree seq :: [ 2^162, 6^54 ]

E28.2686 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 15>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (R * Y3)^2, R * Y2 * R * Y1, Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y2 * Y3 * Y2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y1 * Y3 * Y1, (Y1 * Y2 * Y3^-1)^3, (Y1 * Y3 * Y2)^3, (Y2 * Y1 * Y3)^3, (Y1 * Y3^-1 * Y2)^3, (Y3^-1 * Y1 * Y3 * Y1 * Y2)^2, (Y3^-1 * Y1 * Y2 * Y3 * Y2)^2 ]
Map:: polytopal
	R = (1, 163, 4, 166, 5, 167)(2, 164, 7, 169, 8, 170)(3, 165, 10, 172, 11, 173)(6, 168, 17, 179, 18, 180)(9, 171, 24, 186, 25, 187)(12, 174, 31, 193, 32, 194)(13, 175, 34, 196, 35, 197)(14, 176, 37, 199, 38, 200)(15, 177, 40, 202, 41, 203)(16, 178, 43, 205, 44, 206)(19, 181, 50, 212, 51, 213)(20, 182, 53, 215, 54, 216)(21, 183, 56, 218, 57, 219)(22, 184, 59, 221, 60, 222)(23, 185, 61, 223, 48, 210)(26, 188, 66, 228, 67, 229)(27, 189, 69, 231, 70, 232)(28, 190, 72, 234, 73, 235)(29, 191, 42, 204, 75, 237)(30, 192, 77, 239, 78, 240)(33, 195, 80, 242, 81, 243)(36, 198, 85, 247, 86, 248)(39, 201, 91, 253, 92, 254)(45, 207, 97, 259, 98, 260)(46, 208, 100, 262, 101, 263)(47, 209, 102, 264, 103, 265)(49, 211, 106, 268, 107, 269)(52, 214, 71, 233, 109, 271)(55, 217, 113, 275, 114, 276)(58, 220, 119, 281, 65, 227)(62, 224, 123, 285, 124, 286)(63, 225, 126, 288, 127, 289)(64, 226, 128, 290, 120, 282)(68, 230, 130, 292, 131, 293)(74, 236, 137, 299, 138, 300)(76, 238, 140, 302, 134, 296)(79, 241, 142, 304, 121, 283)(82, 244, 87, 249, 143, 305)(83, 245, 144, 306, 118, 280)(84, 246, 89, 251, 145, 307)(88, 250, 129, 291, 147, 309)(90, 252, 111, 273, 146, 308)(93, 255, 96, 258, 149, 311)(94, 256, 150, 312, 151, 313)(95, 257, 152, 314, 122, 284)(99, 261, 136, 298, 153, 315)(104, 266, 157, 319, 158, 320)(105, 267, 125, 287, 155, 317)(108, 270, 159, 321, 139, 301)(110, 272, 115, 277, 160, 322)(112, 274, 117, 279, 141, 303)(116, 278, 148, 310, 132, 294)(133, 295, 135, 297, 162, 324)(154, 316, 156, 318, 161, 323)(325, 326)(327, 333)(328, 336)(329, 338)(330, 340)(331, 343)(332, 345)(334, 350)(335, 352)(337, 357)(339, 363)(341, 369)(342, 371)(344, 376)(346, 382)(347, 375)(348, 367)(349, 387)(351, 392)(353, 398)(354, 400)(355, 393)(356, 366)(358, 390)(359, 407)(360, 379)(361, 411)(362, 413)(364, 391)(365, 417)(368, 419)(370, 423)(372, 428)(373, 429)(374, 424)(377, 421)(378, 435)(380, 439)(381, 441)(383, 422)(384, 444)(385, 445)(386, 410)(388, 401)(389, 453)(394, 436)(395, 449)(396, 440)(397, 459)(399, 463)(402, 433)(403, 447)(404, 464)(405, 431)(406, 414)(408, 425)(409, 443)(412, 426)(415, 437)(416, 472)(418, 438)(420, 430)(427, 480)(432, 474)(434, 442)(446, 470)(448, 477)(450, 478)(451, 468)(452, 466)(454, 471)(455, 475)(456, 460)(457, 476)(458, 481)(461, 479)(462, 467)(465, 485)(469, 486)(473, 483)(482, 484)(487, 489)(488, 492)(490, 499)(491, 501)(493, 506)(494, 508)(495, 509)(496, 513)(497, 515)(498, 516)(500, 522)(502, 528)(503, 532)(504, 534)(505, 535)(507, 541)(510, 548)(511, 550)(512, 551)(514, 557)(517, 565)(518, 545)(519, 554)(520, 568)(521, 570)(523, 574)(524, 546)(525, 576)(526, 537)(527, 543)(529, 580)(530, 582)(531, 578)(533, 566)(536, 594)(538, 585)(539, 596)(540, 598)(542, 602)(544, 604)(547, 608)(549, 611)(552, 583)(553, 614)(555, 618)(556, 619)(558, 620)(559, 606)(560, 622)(561, 613)(562, 575)(563, 627)(564, 617)(567, 605)(569, 610)(571, 623)(572, 632)(573, 612)(577, 595)(579, 589)(581, 626)(584, 635)(586, 633)(587, 640)(588, 641)(590, 616)(591, 603)(592, 631)(593, 639)(597, 637)(599, 643)(600, 630)(601, 638)(607, 624)(609, 647)(615, 621)(625, 644)(628, 645)(629, 646)(634, 642)(636, 648)
	L = (1, 325)(2, 326)(3, 327)(4, 328)(5, 329)(6, 330)(7, 331)(8, 332)(9, 333)(10, 334)(11, 335)(12, 336)(13, 337)(14, 338)(15, 339)(16, 340)(17, 341)(18, 342)(19, 343)(20, 344)(21, 345)(22, 346)(23, 347)(24, 348)(25, 349)(26, 350)(27, 351)(28, 352)(29, 353)(30, 354)(31, 355)(32, 356)(33, 357)(34, 358)(35, 359)(36, 360)(37, 361)(38, 362)(39, 363)(40, 364)(41, 365)(42, 366)(43, 367)(44, 368)(45, 369)(46, 370)(47, 371)(48, 372)(49, 373)(50, 374)(51, 375)(52, 376)(53, 377)(54, 378)(55, 379)(56, 380)(57, 381)(58, 382)(59, 383)(60, 384)(61, 385)(62, 386)(63, 387)(64, 388)(65, 389)(66, 390)(67, 391)(68, 392)(69, 393)(70, 394)(71, 395)(72, 396)(73, 397)(74, 398)(75, 399)(76, 400)(77, 401)(78, 402)(79, 403)(80, 404)(81, 405)(82, 406)(83, 407)(84, 408)(85, 409)(86, 410)(87, 411)(88, 412)(89, 413)(90, 414)(91, 415)(92, 416)(93, 417)(94, 418)(95, 419)(96, 420)(97, 421)(98, 422)(99, 423)(100, 424)(101, 425)(102, 426)(103, 427)(104, 428)(105, 429)(106, 430)(107, 431)(108, 432)(109, 433)(110, 434)(111, 435)(112, 436)(113, 437)(114, 438)(115, 439)(116, 440)(117, 441)(118, 442)(119, 443)(120, 444)(121, 445)(122, 446)(123, 447)(124, 448)(125, 449)(126, 450)(127, 451)(128, 452)(129, 453)(130, 454)(131, 455)(132, 456)(133, 457)(134, 458)(135, 459)(136, 460)(137, 461)(138, 462)(139, 463)(140, 464)(141, 465)(142, 466)(143, 467)(144, 468)(145, 469)(146, 470)(147, 471)(148, 472)(149, 473)(150, 474)(151, 475)(152, 476)(153, 477)(154, 478)(155, 479)(156, 480)(157, 481)(158, 482)(159, 483)(160, 484)(161, 485)(162, 486)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2692
Graph:: simple bipartite
	v = 216 e = 324 f = 54
	degree seq :: [ 2^162, 6^54 ]

E28.2687 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 15>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3 * Y2, Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2, (Y1 * Y3^-1 * Y2)^3, (Y2 * Y1 * Y3)^3, (Y3^-1 * Y2 * Y1 * Y3 * Y1)^2, Y3^-1 * Y1 * Y2 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3^-1 * Y2 ]
Map:: polytopal
	R = (1, 163, 4, 166, 5, 167)(2, 164, 7, 169, 8, 170)(3, 165, 10, 172, 11, 173)(6, 168, 17, 179, 18, 180)(9, 171, 24, 186, 25, 187)(12, 174, 31, 193, 32, 194)(13, 175, 34, 196, 35, 197)(14, 176, 37, 199, 38, 200)(15, 177, 40, 202, 41, 203)(16, 178, 43, 205, 44, 206)(19, 181, 50, 212, 51, 213)(20, 182, 53, 215, 54, 216)(21, 183, 56, 218, 57, 219)(22, 184, 59, 221, 60, 222)(23, 185, 46, 208, 61, 223)(26, 188, 66, 228, 67, 229)(27, 189, 69, 231, 42, 204)(28, 190, 71, 233, 72, 234)(29, 191, 74, 236, 75, 237)(30, 192, 76, 238, 77, 239)(33, 195, 82, 244, 83, 245)(36, 198, 86, 248, 87, 249)(39, 201, 89, 251, 90, 252)(45, 207, 97, 259, 98, 260)(47, 209, 100, 262, 101, 263)(48, 210, 103, 265, 104, 266)(49, 211, 105, 267, 106, 268)(52, 214, 70, 232, 111, 273)(55, 217, 114, 276, 115, 277)(58, 220, 117, 279, 65, 227)(62, 224, 124, 286, 125, 287)(63, 225, 112, 274, 126, 288)(64, 226, 127, 289, 128, 290)(68, 230, 132, 294, 133, 295)(73, 235, 136, 298, 137, 299)(78, 240, 92, 254, 141, 303)(79, 241, 93, 255, 142, 304)(80, 242, 143, 305, 135, 297)(81, 243, 140, 302, 118, 280)(84, 246, 145, 307, 95, 257)(85, 247, 130, 292, 146, 308)(88, 250, 121, 283, 148, 310)(91, 253, 110, 272, 149, 311)(94, 256, 122, 284, 150, 312)(96, 258, 151, 313, 152, 314)(99, 261, 155, 317, 156, 318)(102, 264, 157, 319, 131, 293)(107, 269, 119, 281, 147, 309)(108, 270, 120, 282, 159, 321)(109, 271, 139, 301, 144, 306)(113, 275, 154, 316, 123, 285)(116, 278, 134, 296, 160, 322)(129, 291, 138, 300, 162, 324)(153, 315, 158, 320, 161, 323)(325, 326)(327, 333)(328, 336)(329, 338)(330, 340)(331, 343)(332, 345)(334, 350)(335, 352)(337, 357)(339, 363)(341, 369)(342, 371)(344, 376)(346, 382)(347, 380)(348, 386)(349, 368)(351, 392)(353, 397)(354, 373)(355, 402)(356, 403)(358, 408)(359, 395)(360, 409)(361, 366)(362, 399)(364, 415)(365, 396)(367, 418)(370, 423)(372, 426)(374, 431)(375, 432)(377, 436)(378, 424)(379, 437)(381, 428)(383, 442)(384, 425)(385, 445)(387, 411)(388, 400)(389, 447)(390, 453)(391, 433)(393, 458)(394, 459)(398, 443)(401, 435)(404, 422)(405, 417)(406, 468)(407, 430)(410, 441)(412, 452)(413, 438)(414, 470)(416, 427)(419, 439)(420, 429)(421, 477)(434, 444)(440, 476)(446, 464)(448, 473)(449, 482)(450, 472)(451, 481)(454, 480)(455, 463)(456, 466)(457, 478)(460, 475)(461, 467)(462, 474)(465, 486)(469, 484)(471, 485)(479, 483)(487, 489)(488, 492)(490, 499)(491, 501)(493, 506)(494, 508)(495, 509)(496, 513)(497, 515)(498, 516)(500, 522)(502, 528)(503, 532)(504, 534)(505, 535)(507, 541)(510, 549)(511, 550)(512, 551)(514, 556)(517, 539)(518, 566)(519, 567)(520, 536)(521, 542)(523, 540)(524, 574)(525, 559)(526, 578)(527, 579)(529, 581)(530, 582)(531, 576)(533, 568)(537, 595)(538, 596)(543, 602)(544, 588)(545, 605)(546, 606)(547, 608)(548, 609)(552, 598)(553, 616)(554, 617)(555, 610)(557, 612)(558, 587)(560, 624)(561, 625)(562, 626)(563, 619)(564, 571)(565, 611)(569, 603)(570, 583)(572, 622)(573, 633)(575, 597)(577, 613)(580, 632)(584, 640)(585, 623)(586, 631)(589, 644)(590, 629)(591, 635)(592, 642)(593, 599)(594, 636)(600, 643)(601, 627)(604, 637)(607, 618)(614, 647)(615, 621)(620, 641)(628, 645)(630, 639)(634, 646)(638, 648)
	L = (1, 325)(2, 326)(3, 327)(4, 328)(5, 329)(6, 330)(7, 331)(8, 332)(9, 333)(10, 334)(11, 335)(12, 336)(13, 337)(14, 338)(15, 339)(16, 340)(17, 341)(18, 342)(19, 343)(20, 344)(21, 345)(22, 346)(23, 347)(24, 348)(25, 349)(26, 350)(27, 351)(28, 352)(29, 353)(30, 354)(31, 355)(32, 356)(33, 357)(34, 358)(35, 359)(36, 360)(37, 361)(38, 362)(39, 363)(40, 364)(41, 365)(42, 366)(43, 367)(44, 368)(45, 369)(46, 370)(47, 371)(48, 372)(49, 373)(50, 374)(51, 375)(52, 376)(53, 377)(54, 378)(55, 379)(56, 380)(57, 381)(58, 382)(59, 383)(60, 384)(61, 385)(62, 386)(63, 387)(64, 388)(65, 389)(66, 390)(67, 391)(68, 392)(69, 393)(70, 394)(71, 395)(72, 396)(73, 397)(74, 398)(75, 399)(76, 400)(77, 401)(78, 402)(79, 403)(80, 404)(81, 405)(82, 406)(83, 407)(84, 408)(85, 409)(86, 410)(87, 411)(88, 412)(89, 413)(90, 414)(91, 415)(92, 416)(93, 417)(94, 418)(95, 419)(96, 420)(97, 421)(98, 422)(99, 423)(100, 424)(101, 425)(102, 426)(103, 427)(104, 428)(105, 429)(106, 430)(107, 431)(108, 432)(109, 433)(110, 434)(111, 435)(112, 436)(113, 437)(114, 438)(115, 439)(116, 440)(117, 441)(118, 442)(119, 443)(120, 444)(121, 445)(122, 446)(123, 447)(124, 448)(125, 449)(126, 450)(127, 451)(128, 452)(129, 453)(130, 454)(131, 455)(132, 456)(133, 457)(134, 458)(135, 459)(136, 460)(137, 461)(138, 462)(139, 463)(140, 464)(141, 465)(142, 466)(143, 467)(144, 468)(145, 469)(146, 470)(147, 471)(148, 472)(149, 473)(150, 474)(151, 475)(152, 476)(153, 477)(154, 478)(155, 479)(156, 480)(157, 481)(158, 482)(159, 483)(160, 484)(161, 485)(162, 486)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2690
Graph:: simple bipartite
	v = 216 e = 324 f = 54
	degree seq :: [ 2^162, 6^54 ]

E28.2688 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 21>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^3, Y2^3, R * Y1 * R * Y2, (R * Y3)^2, (Y3 * Y1 * Y2)^2, (Y2 * Y3 * Y1)^2, (Y1^-1 * Y3 * Y2^-1)^2, (Y1^-1 * Y2^-1)^3, Y2^-1 * Y3 * Y2^-1 * Y1 * Y3 * Y1, Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-1, (Y1^-1 * Y2^-1 * Y3 * Y1^-1 * Y2)^2, Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y1 * Y3 * Y2 ]
Map:: polyhedral non-degenerate
	R = (1, 163, 4, 166)(2, 164, 8, 170)(3, 165, 11, 173)(5, 167, 18, 180)(6, 168, 21, 183)(7, 169, 24, 186)(9, 171, 31, 193)(10, 172, 34, 196)(12, 174, 40, 202)(13, 175, 43, 205)(14, 176, 46, 208)(15, 177, 48, 210)(16, 178, 50, 212)(17, 179, 44, 206)(19, 181, 57, 219)(20, 182, 47, 209)(22, 184, 42, 204)(23, 185, 64, 226)(25, 187, 66, 228)(26, 188, 68, 230)(27, 189, 70, 232)(28, 190, 72, 234)(29, 191, 74, 236)(30, 192, 71, 233)(32, 194, 38, 200)(33, 195, 65, 227)(35, 197, 83, 245)(36, 198, 85, 247)(37, 199, 52, 214)(39, 201, 54, 216)(41, 203, 91, 253)(45, 207, 93, 255)(49, 211, 102, 264)(51, 213, 105, 267)(53, 215, 58, 220)(55, 217, 84, 246)(56, 218, 107, 269)(59, 221, 110, 272)(60, 222, 111, 273)(61, 223, 112, 274)(62, 224, 88, 250)(63, 225, 89, 251)(67, 229, 115, 277)(69, 231, 117, 279)(73, 235, 126, 288)(75, 237, 129, 291)(76, 238, 130, 292)(77, 239, 96, 258)(78, 240, 114, 276)(79, 241, 132, 294)(80, 242, 133, 295)(81, 243, 135, 297)(82, 244, 131, 293)(86, 248, 141, 303)(87, 249, 142, 304)(90, 252, 144, 306)(92, 254, 145, 307)(94, 256, 147, 309)(95, 257, 149, 311)(97, 259, 99, 261)(98, 260, 152, 314)(100, 262, 148, 310)(101, 263, 153, 315)(103, 265, 154, 316)(104, 266, 151, 313)(106, 268, 146, 308)(108, 270, 150, 312)(109, 271, 120, 282)(113, 275, 124, 286)(116, 278, 138, 300)(118, 280, 158, 320)(119, 281, 134, 296)(121, 283, 123, 285)(122, 284, 155, 317)(125, 287, 143, 305)(127, 289, 159, 321)(128, 290, 157, 319)(136, 298, 162, 324)(137, 299, 160, 322)(139, 301, 156, 318)(140, 302, 161, 323)(325, 326, 329)(327, 334, 336)(328, 337, 339)(330, 344, 346)(331, 347, 349)(332, 350, 352)(333, 354, 356)(335, 360, 361)(338, 369, 371)(340, 364, 348)(341, 375, 376)(342, 377, 379)(343, 380, 357)(345, 384, 386)(351, 393, 395)(353, 390, 368)(355, 400, 401)(358, 385, 404)(359, 406, 408)(362, 366, 389)(363, 411, 412)(365, 414, 382)(367, 391, 416)(370, 419, 420)(372, 387, 424)(373, 425, 388)(374, 383, 428)(378, 405, 431)(381, 410, 433)(392, 430, 440)(394, 443, 444)(396, 402, 448)(397, 449, 429)(398, 399, 452)(403, 439, 455)(407, 461, 462)(409, 432, 464)(413, 422, 468)(415, 437, 442)(417, 427, 465)(418, 470, 472)(421, 474, 475)(423, 450, 477)(426, 457, 463)(434, 481, 445)(435, 441, 451)(436, 467, 447)(438, 446, 469)(453, 485, 480)(454, 459, 460)(456, 471, 482)(458, 473, 466)(476, 479, 484)(478, 486, 483)(487, 489, 492)(488, 493, 495)(490, 500, 502)(491, 503, 505)(494, 513, 515)(496, 519, 521)(497, 512, 524)(498, 525, 527)(499, 528, 530)(501, 517, 535)(504, 540, 522)(506, 544, 545)(507, 547, 541)(508, 549, 509)(510, 539, 551)(511, 532, 553)(514, 543, 559)(516, 529, 561)(518, 564, 537)(520, 565, 567)(523, 569, 572)(526, 575, 546)(531, 550, 580)(533, 583, 584)(534, 585, 581)(536, 589, 586)(538, 556, 592)(542, 554, 594)(548, 596, 599)(552, 600, 562)(555, 591, 604)(557, 607, 608)(558, 609, 605)(560, 613, 610)(563, 615, 617)(566, 577, 620)(568, 571, 622)(570, 625, 573)(574, 618, 629)(576, 598, 603)(578, 588, 621)(579, 602, 612)(582, 633, 619)(587, 601, 628)(590, 597, 641)(593, 642, 623)(595, 636, 634)(606, 644, 639)(611, 632, 635)(614, 616, 646)(624, 648, 637)(626, 627, 638)(630, 640, 643)(631, 645, 647)
	L = (1, 325)(2, 326)(3, 327)(4, 328)(5, 329)(6, 330)(7, 331)(8, 332)(9, 333)(10, 334)(11, 335)(12, 336)(13, 337)(14, 338)(15, 339)(16, 340)(17, 341)(18, 342)(19, 343)(20, 344)(21, 345)(22, 346)(23, 347)(24, 348)(25, 349)(26, 350)(27, 351)(28, 352)(29, 353)(30, 354)(31, 355)(32, 356)(33, 357)(34, 358)(35, 359)(36, 360)(37, 361)(38, 362)(39, 363)(40, 364)(41, 365)(42, 366)(43, 367)(44, 368)(45, 369)(46, 370)(47, 371)(48, 372)(49, 373)(50, 374)(51, 375)(52, 376)(53, 377)(54, 378)(55, 379)(56, 380)(57, 381)(58, 382)(59, 383)(60, 384)(61, 385)(62, 386)(63, 387)(64, 388)(65, 389)(66, 390)(67, 391)(68, 392)(69, 393)(70, 394)(71, 395)(72, 396)(73, 397)(74, 398)(75, 399)(76, 400)(77, 401)(78, 402)(79, 403)(80, 404)(81, 405)(82, 406)(83, 407)(84, 408)(85, 409)(86, 410)(87, 411)(88, 412)(89, 413)(90, 414)(91, 415)(92, 416)(93, 417)(94, 418)(95, 419)(96, 420)(97, 421)(98, 422)(99, 423)(100, 424)(101, 425)(102, 426)(103, 427)(104, 428)(105, 429)(106, 430)(107, 431)(108, 432)(109, 433)(110, 434)(111, 435)(112, 436)(113, 437)(114, 438)(115, 439)(116, 440)(117, 441)(118, 442)(119, 443)(120, 444)(121, 445)(122, 446)(123, 447)(124, 448)(125, 449)(126, 450)(127, 451)(128, 452)(129, 453)(130, 454)(131, 455)(132, 456)(133, 457)(134, 458)(135, 459)(136, 460)(137, 461)(138, 462)(139, 463)(140, 464)(141, 465)(142, 466)(143, 467)(144, 468)(145, 469)(146, 470)(147, 471)(148, 472)(149, 473)(150, 474)(151, 475)(152, 476)(153, 477)(154, 478)(155, 479)(156, 480)(157, 481)(158, 482)(159, 483)(160, 484)(161, 485)(162, 486)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 8^3 ), ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E28.2696
Graph:: simple bipartite
	v = 189 e = 324 f = 81
	degree seq :: [ 3^108, 4^81 ]

E28.2689 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 14>)
Aut   = C2 x (((C9 x C3) : C3) : C2) (small group id <324, 72>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, Y1^2 * Y2^-1, Y2^3, (R * Y3)^2, R * Y2 * R * Y1, Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 163, 4, 166)(2, 164, 5, 167)(3, 165, 6, 168)(7, 169, 13, 175)(8, 170, 14, 176)(9, 171, 15, 177)(10, 172, 16, 178)(11, 173, 17, 179)(12, 174, 18, 180)(19, 181, 31, 193)(20, 182, 32, 194)(21, 183, 33, 195)(22, 184, 34, 196)(23, 185, 35, 197)(24, 186, 36, 198)(25, 187, 37, 199)(26, 188, 38, 200)(27, 189, 39, 201)(28, 190, 40, 202)(29, 191, 41, 203)(30, 192, 42, 204)(43, 205, 58, 220)(44, 206, 59, 221)(45, 207, 60, 222)(46, 208, 61, 223)(47, 209, 62, 224)(48, 210, 63, 225)(49, 211, 64, 226)(50, 212, 65, 227)(51, 213, 66, 228)(52, 214, 67, 229)(53, 215, 68, 230)(54, 216, 69, 231)(55, 217, 70, 232)(56, 218, 71, 233)(57, 219, 72, 234)(73, 235, 94, 256)(74, 236, 95, 257)(75, 237, 96, 258)(76, 238, 97, 259)(77, 239, 98, 260)(78, 240, 99, 261)(79, 241, 100, 262)(80, 242, 101, 263)(81, 243, 102, 264)(82, 244, 103, 265)(83, 245, 104, 266)(84, 246, 105, 267)(85, 247, 106, 268)(86, 248, 107, 269)(87, 249, 108, 270)(88, 250, 109, 271)(89, 251, 110, 272)(90, 252, 111, 273)(91, 253, 112, 274)(92, 254, 113, 275)(93, 255, 114, 276)(115, 277, 139, 301)(116, 278, 140, 302)(117, 279, 141, 303)(118, 280, 142, 304)(119, 281, 143, 305)(120, 282, 144, 306)(121, 283, 145, 307)(122, 284, 146, 308)(123, 285, 147, 309)(124, 286, 148, 310)(125, 287, 149, 311)(126, 288, 150, 312)(127, 289, 151, 313)(128, 290, 152, 314)(129, 291, 153, 315)(130, 292, 154, 316)(131, 293, 155, 317)(132, 294, 156, 318)(133, 295, 157, 319)(134, 296, 158, 320)(135, 297, 159, 321)(136, 298, 160, 322)(137, 299, 161, 323)(138, 300, 162, 324)(325, 326, 327)(328, 331, 332)(329, 333, 334)(330, 335, 336)(337, 343, 344)(338, 345, 346)(339, 347, 348)(340, 349, 350)(341, 351, 352)(342, 353, 354)(355, 367, 368)(356, 361, 369)(357, 370, 364)(358, 371, 372)(359, 373, 374)(360, 365, 375)(362, 376, 377)(363, 378, 379)(366, 380, 381)(382, 397, 398)(383, 386, 399)(384, 400, 401)(385, 402, 403)(387, 404, 405)(388, 406, 407)(389, 391, 408)(390, 409, 410)(392, 411, 412)(393, 413, 414)(394, 395, 415)(396, 416, 417)(418, 439, 440)(419, 421, 441)(420, 442, 443)(422, 432, 444)(423, 445, 435)(424, 425, 446)(426, 447, 448)(427, 449, 450)(428, 430, 451)(429, 452, 453)(431, 437, 454)(433, 455, 456)(434, 457, 458)(436, 459, 460)(438, 461, 462)(463, 473, 481)(464, 466, 475)(465, 482, 483)(467, 471, 478)(468, 484, 485)(469, 474, 476)(470, 477, 479)(472, 480, 486)(487, 489, 488)(490, 494, 493)(491, 496, 495)(492, 498, 497)(499, 506, 505)(500, 508, 507)(501, 510, 509)(502, 512, 511)(503, 514, 513)(504, 516, 515)(517, 530, 529)(518, 531, 523)(519, 526, 532)(520, 534, 533)(521, 536, 535)(522, 537, 527)(524, 539, 538)(525, 541, 540)(528, 543, 542)(544, 560, 559)(545, 561, 548)(546, 563, 562)(547, 565, 564)(549, 567, 566)(550, 569, 568)(551, 570, 553)(552, 572, 571)(554, 574, 573)(555, 576, 575)(556, 577, 557)(558, 579, 578)(580, 602, 601)(581, 603, 583)(582, 605, 604)(584, 606, 594)(585, 597, 607)(586, 608, 587)(588, 610, 609)(589, 612, 611)(590, 613, 592)(591, 615, 614)(593, 616, 599)(595, 618, 617)(596, 620, 619)(598, 622, 621)(600, 624, 623)(625, 643, 635)(626, 637, 628)(627, 645, 644)(629, 640, 633)(630, 647, 646)(631, 638, 636)(632, 641, 639)(634, 648, 642)
	L = (1, 325)(2, 326)(3, 327)(4, 328)(5, 329)(6, 330)(7, 331)(8, 332)(9, 333)(10, 334)(11, 335)(12, 336)(13, 337)(14, 338)(15, 339)(16, 340)(17, 341)(18, 342)(19, 343)(20, 344)(21, 345)(22, 346)(23, 347)(24, 348)(25, 349)(26, 350)(27, 351)(28, 352)(29, 353)(30, 354)(31, 355)(32, 356)(33, 357)(34, 358)(35, 359)(36, 360)(37, 361)(38, 362)(39, 363)(40, 364)(41, 365)(42, 366)(43, 367)(44, 368)(45, 369)(46, 370)(47, 371)(48, 372)(49, 373)(50, 374)(51, 375)(52, 376)(53, 377)(54, 378)(55, 379)(56, 380)(57, 381)(58, 382)(59, 383)(60, 384)(61, 385)(62, 386)(63, 387)(64, 388)(65, 389)(66, 390)(67, 391)(68, 392)(69, 393)(70, 394)(71, 395)(72, 396)(73, 397)(74, 398)(75, 399)(76, 400)(77, 401)(78, 402)(79, 403)(80, 404)(81, 405)(82, 406)(83, 407)(84, 408)(85, 409)(86, 410)(87, 411)(88, 412)(89, 413)(90, 414)(91, 415)(92, 416)(93, 417)(94, 418)(95, 419)(96, 420)(97, 421)(98, 422)(99, 423)(100, 424)(101, 425)(102, 426)(103, 427)(104, 428)(105, 429)(106, 430)(107, 431)(108, 432)(109, 433)(110, 434)(111, 435)(112, 436)(113, 437)(114, 438)(115, 439)(116, 440)(117, 441)(118, 442)(119, 443)(120, 444)(121, 445)(122, 446)(123, 447)(124, 448)(125, 449)(126, 450)(127, 451)(128, 452)(129, 453)(130, 454)(131, 455)(132, 456)(133, 457)(134, 458)(135, 459)(136, 460)(137, 461)(138, 462)(139, 463)(140, 464)(141, 465)(142, 466)(143, 467)(144, 468)(145, 469)(146, 470)(147, 471)(148, 472)(149, 473)(150, 474)(151, 475)(152, 476)(153, 477)(154, 478)(155, 479)(156, 480)(157, 481)(158, 482)(159, 483)(160, 484)(161, 485)(162, 486)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 8^3 ), ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E28.2697
Graph:: simple bipartite
	v = 189 e = 324 f = 81
	degree seq :: [ 3^108, 4^81 ]

E28.2690 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 15>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y1, Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y3, Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1, Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y2 * Y1 * Y2, (Y1 * Y2 * Y3^-1)^3, (Y1 * Y3 * Y2)^3, (Y1 * Y3^-1 * Y2)^3, Y3 * Y2 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y2 * Y3 * Y1, Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y2 * Y1 ]
Map::
	R = (1, 163, 325, 487, 4, 166, 328, 490, 5, 167, 329, 491)(2, 164, 326, 488, 7, 169, 331, 493, 8, 170, 332, 494)(3, 165, 327, 489, 10, 172, 334, 496, 11, 173, 335, 497)(6, 168, 330, 492, 17, 179, 341, 503, 18, 180, 342, 504)(9, 171, 333, 495, 24, 186, 348, 510, 25, 187, 349, 511)(12, 174, 336, 498, 31, 193, 355, 517, 32, 194, 356, 518)(13, 175, 337, 499, 34, 196, 358, 520, 35, 197, 359, 521)(14, 176, 338, 500, 37, 199, 361, 523, 38, 200, 362, 524)(15, 177, 339, 501, 40, 202, 364, 526, 41, 203, 365, 527)(16, 178, 340, 502, 43, 205, 367, 529, 44, 206, 368, 530)(19, 181, 343, 505, 50, 212, 374, 536, 51, 213, 375, 537)(20, 182, 344, 506, 53, 215, 377, 539, 54, 216, 378, 540)(21, 183, 345, 507, 56, 218, 380, 542, 57, 219, 381, 543)(22, 184, 346, 508, 59, 221, 383, 545, 60, 222, 384, 546)(23, 185, 347, 509, 62, 224, 386, 548, 63, 225, 387, 549)(26, 188, 350, 512, 67, 229, 391, 553, 68, 230, 392, 554)(27, 189, 351, 513, 69, 231, 393, 555, 70, 232, 394, 556)(28, 190, 352, 514, 72, 234, 396, 558, 73, 235, 397, 559)(29, 191, 353, 515, 74, 236, 398, 560, 75, 237, 399, 561)(30, 192, 354, 516, 76, 238, 400, 562, 77, 239, 401, 563)(33, 195, 357, 519, 80, 242, 404, 566, 81, 243, 405, 567)(36, 198, 360, 522, 84, 246, 408, 570, 85, 247, 409, 571)(39, 201, 363, 525, 88, 250, 412, 574, 89, 251, 413, 575)(42, 204, 366, 528, 93, 255, 417, 579, 94, 256, 418, 580)(45, 207, 369, 531, 97, 259, 421, 583, 98, 260, 422, 584)(46, 208, 370, 532, 99, 261, 423, 585, 100, 262, 424, 586)(47, 209, 371, 533, 101, 263, 425, 587, 102, 264, 426, 588)(48, 210, 372, 534, 103, 265, 427, 589, 104, 266, 428, 590)(49, 211, 373, 535, 105, 267, 429, 591, 106, 268, 430, 592)(52, 214, 376, 538, 71, 233, 395, 557, 109, 271, 433, 595)(55, 217, 379, 541, 112, 274, 436, 598, 113, 275, 437, 599)(58, 220, 382, 544, 116, 278, 440, 602, 66, 228, 390, 552)(61, 223, 385, 547, 120, 282, 444, 606, 121, 283, 445, 607)(64, 226, 388, 550, 124, 286, 448, 610, 125, 287, 449, 611)(65, 227, 389, 551, 126, 288, 450, 612, 127, 289, 451, 613)(78, 240, 402, 564, 136, 298, 460, 622, 91, 253, 415, 577)(79, 241, 403, 565, 137, 299, 461, 623, 87, 249, 411, 573)(82, 244, 406, 568, 138, 300, 462, 624, 90, 252, 414, 576)(83, 245, 407, 569, 139, 301, 463, 625, 86, 248, 410, 572)(92, 254, 416, 578, 141, 303, 465, 627, 135, 297, 459, 621)(95, 257, 419, 581, 143, 305, 467, 629, 144, 306, 468, 630)(96, 258, 420, 582, 145, 307, 469, 631, 146, 308, 470, 632)(107, 269, 431, 593, 152, 314, 476, 638, 118, 280, 442, 604)(108, 270, 432, 594, 153, 315, 477, 639, 115, 277, 439, 601)(110, 272, 434, 596, 154, 316, 478, 640, 117, 279, 441, 603)(111, 273, 435, 597, 155, 317, 479, 641, 114, 276, 438, 600)(119, 281, 443, 605, 140, 302, 464, 626, 134, 296, 458, 620)(122, 284, 446, 608, 147, 309, 471, 633, 158, 320, 482, 644)(123, 285, 447, 609, 159, 321, 483, 645, 149, 311, 473, 635)(128, 290, 452, 614, 160, 322, 484, 646, 133, 295, 457, 619)(129, 291, 453, 615, 161, 323, 485, 647, 132, 294, 456, 618)(130, 292, 454, 616, 162, 324, 486, 648, 131, 293, 455, 617)(142, 304, 466, 628, 156, 318, 480, 642, 151, 313, 475, 637)(148, 310, 472, 634, 157, 319, 481, 643, 150, 312, 474, 636)
	L = (1, 164)(2, 163)(3, 171)(4, 174)(5, 176)(6, 178)(7, 181)(8, 183)(9, 165)(10, 188)(11, 190)(12, 166)(13, 195)(14, 167)(15, 201)(16, 168)(17, 207)(18, 209)(19, 169)(20, 214)(21, 170)(22, 220)(23, 223)(24, 211)(25, 217)(26, 172)(27, 208)(28, 173)(29, 210)(30, 205)(31, 240)(32, 232)(33, 175)(34, 244)(35, 230)(36, 206)(37, 236)(38, 248)(39, 177)(40, 234)(41, 252)(42, 254)(43, 192)(44, 198)(45, 179)(46, 189)(47, 180)(48, 191)(49, 186)(50, 269)(51, 262)(52, 182)(53, 272)(54, 260)(55, 187)(56, 265)(57, 276)(58, 184)(59, 263)(60, 279)(61, 185)(62, 284)(63, 285)(64, 247)(65, 238)(66, 282)(67, 290)(68, 197)(69, 291)(70, 194)(71, 283)(72, 202)(73, 293)(74, 199)(75, 294)(76, 227)(77, 271)(78, 193)(79, 286)(80, 297)(81, 268)(82, 196)(83, 296)(84, 278)(85, 226)(86, 200)(87, 289)(88, 274)(89, 303)(90, 203)(91, 302)(92, 204)(93, 295)(94, 292)(95, 275)(96, 267)(97, 309)(98, 216)(99, 310)(100, 213)(101, 221)(102, 311)(103, 218)(104, 312)(105, 258)(106, 243)(107, 212)(108, 305)(109, 239)(110, 215)(111, 313)(112, 250)(113, 257)(114, 219)(115, 308)(116, 246)(117, 222)(118, 318)(119, 319)(120, 228)(121, 233)(122, 224)(123, 225)(124, 241)(125, 320)(126, 321)(127, 249)(128, 229)(129, 231)(130, 256)(131, 235)(132, 237)(133, 255)(134, 245)(135, 242)(136, 317)(137, 316)(138, 315)(139, 314)(140, 253)(141, 251)(142, 323)(143, 270)(144, 322)(145, 324)(146, 277)(147, 259)(148, 261)(149, 264)(150, 266)(151, 273)(152, 301)(153, 300)(154, 299)(155, 298)(156, 280)(157, 281)(158, 287)(159, 288)(160, 306)(161, 304)(162, 307)(325, 489)(326, 492)(327, 487)(328, 499)(329, 501)(330, 488)(331, 506)(332, 508)(333, 509)(334, 513)(335, 515)(336, 516)(337, 490)(338, 522)(339, 491)(340, 528)(341, 532)(342, 534)(343, 535)(344, 493)(345, 541)(346, 494)(347, 495)(348, 550)(349, 551)(350, 552)(351, 496)(352, 557)(353, 497)(354, 498)(355, 565)(356, 540)(357, 548)(358, 569)(359, 537)(360, 500)(361, 545)(362, 573)(363, 549)(364, 542)(365, 577)(366, 502)(367, 581)(368, 582)(369, 575)(370, 503)(371, 566)(372, 504)(373, 505)(374, 594)(375, 521)(376, 579)(377, 597)(378, 518)(379, 507)(380, 526)(381, 601)(382, 580)(383, 523)(384, 604)(385, 605)(386, 519)(387, 525)(388, 510)(389, 511)(390, 512)(391, 596)(392, 611)(393, 616)(394, 592)(395, 514)(396, 612)(397, 603)(398, 598)(399, 619)(400, 620)(401, 586)(402, 621)(403, 517)(404, 533)(405, 602)(406, 583)(407, 520)(408, 589)(409, 626)(410, 627)(411, 524)(412, 595)(413, 531)(414, 588)(415, 527)(416, 628)(417, 538)(418, 544)(419, 529)(420, 530)(421, 568)(422, 630)(423, 609)(424, 563)(425, 631)(426, 576)(427, 570)(428, 608)(429, 637)(430, 556)(431, 607)(432, 536)(433, 574)(434, 553)(435, 539)(436, 560)(437, 642)(438, 606)(439, 543)(440, 567)(441, 559)(442, 546)(443, 547)(444, 600)(445, 593)(446, 590)(447, 585)(448, 629)(449, 554)(450, 558)(451, 632)(452, 634)(453, 633)(454, 555)(455, 636)(456, 635)(457, 561)(458, 562)(459, 564)(460, 648)(461, 647)(462, 640)(463, 646)(464, 571)(465, 572)(466, 578)(467, 610)(468, 584)(469, 587)(470, 613)(471, 615)(472, 614)(473, 618)(474, 617)(475, 591)(476, 645)(477, 643)(478, 624)(479, 644)(480, 599)(481, 639)(482, 641)(483, 638)(484, 625)(485, 623)(486, 622)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2687
Transitivity :: VT+
Graph:: bipartite
	v = 54 e = 324 f = 216
	degree seq :: [ 12^54 ]

E28.2691 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 14>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, Y3^3, R * Y1 * R * Y2, (R * Y3)^2, (Y3 * Y1 * Y3^-1 * Y1)^3, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 163, 325, 487, 3, 165, 327, 489, 4, 166, 328, 490)(2, 164, 326, 488, 5, 167, 329, 491, 6, 168, 330, 492)(7, 169, 331, 493, 11, 173, 335, 497, 12, 174, 336, 498)(8, 170, 332, 494, 13, 175, 337, 499, 14, 176, 338, 500)(9, 171, 333, 495, 15, 177, 339, 501, 16, 178, 340, 502)(10, 172, 334, 496, 17, 179, 341, 503, 18, 180, 342, 504)(19, 181, 343, 505, 27, 189, 351, 513, 28, 190, 352, 514)(20, 182, 344, 506, 29, 191, 353, 515, 30, 192, 354, 516)(21, 183, 345, 507, 31, 193, 355, 517, 32, 194, 356, 518)(22, 184, 346, 508, 33, 195, 357, 519, 34, 196, 358, 520)(23, 185, 347, 509, 35, 197, 359, 521, 36, 198, 360, 522)(24, 186, 348, 510, 37, 199, 361, 523, 38, 200, 362, 524)(25, 187, 349, 511, 39, 201, 363, 525, 40, 202, 364, 526)(26, 188, 350, 512, 41, 203, 365, 527, 42, 204, 366, 528)(43, 205, 367, 529, 55, 217, 379, 541, 56, 218, 380, 542)(44, 206, 368, 530, 47, 209, 371, 533, 57, 219, 381, 543)(45, 207, 369, 531, 58, 220, 382, 544, 59, 221, 383, 545)(46, 208, 370, 532, 60, 222, 384, 546, 61, 223, 385, 547)(48, 210, 372, 534, 62, 224, 386, 548, 63, 225, 387, 549)(49, 211, 373, 535, 64, 226, 388, 550, 65, 227, 389, 551)(50, 212, 374, 536, 53, 215, 377, 539, 66, 228, 390, 552)(51, 213, 375, 537, 67, 229, 391, 553, 68, 230, 392, 554)(52, 214, 376, 538, 69, 231, 393, 555, 70, 232, 394, 556)(54, 216, 378, 540, 71, 233, 395, 557, 72, 234, 396, 558)(73, 235, 397, 559, 91, 253, 415, 577, 92, 254, 416, 578)(74, 236, 398, 560, 76, 238, 400, 562, 93, 255, 417, 579)(75, 237, 399, 561, 94, 256, 418, 580, 95, 257, 419, 581)(77, 239, 401, 563, 96, 258, 420, 582, 97, 259, 421, 583)(78, 240, 402, 564, 98, 260, 422, 584, 99, 261, 423, 585)(79, 241, 403, 565, 80, 242, 404, 566, 100, 262, 424, 586)(81, 243, 405, 567, 101, 263, 425, 587, 102, 264, 426, 588)(82, 244, 406, 568, 103, 265, 427, 589, 104, 266, 428, 590)(83, 245, 407, 569, 85, 247, 409, 571, 105, 267, 429, 591)(84, 246, 408, 570, 106, 268, 430, 592, 107, 269, 431, 593)(86, 248, 410, 572, 108, 270, 432, 594, 109, 271, 433, 595)(87, 249, 411, 573, 110, 272, 434, 596, 111, 273, 435, 597)(88, 250, 412, 574, 89, 251, 413, 575, 112, 274, 436, 598)(90, 252, 414, 576, 113, 275, 437, 599, 114, 276, 438, 600)(115, 277, 439, 601, 135, 297, 459, 621, 136, 298, 460, 622)(116, 278, 440, 602, 118, 280, 442, 604, 137, 299, 461, 623)(117, 279, 441, 603, 138, 300, 462, 624, 139, 301, 463, 625)(119, 281, 443, 605, 123, 285, 447, 609, 140, 302, 464, 626)(120, 282, 444, 606, 141, 303, 465, 627, 142, 304, 466, 628)(121, 283, 445, 607, 143, 305, 467, 629, 144, 306, 468, 630)(122, 284, 446, 608, 145, 307, 469, 631, 146, 308, 470, 632)(124, 286, 448, 610, 147, 309, 471, 633, 148, 310, 472, 634)(125, 287, 449, 611, 149, 311, 473, 635, 150, 312, 474, 636)(126, 288, 450, 612, 128, 290, 452, 614, 151, 313, 475, 637)(127, 289, 451, 613, 152, 314, 476, 638, 153, 315, 477, 639)(129, 291, 453, 615, 133, 295, 457, 619, 154, 316, 478, 640)(130, 292, 454, 616, 155, 317, 479, 641, 156, 318, 480, 642)(131, 293, 455, 617, 157, 319, 481, 643, 158, 320, 482, 644)(132, 294, 456, 618, 159, 321, 483, 645, 160, 322, 484, 646)(134, 296, 458, 620, 161, 323, 485, 647, 162, 324, 486, 648)
	L = (1, 164)(2, 163)(3, 169)(4, 170)(5, 171)(6, 172)(7, 165)(8, 166)(9, 167)(10, 168)(11, 181)(12, 182)(13, 183)(14, 184)(15, 185)(16, 186)(17, 187)(18, 188)(19, 173)(20, 174)(21, 175)(22, 176)(23, 177)(24, 178)(25, 179)(26, 180)(27, 205)(28, 206)(29, 199)(30, 207)(31, 208)(32, 202)(33, 209)(34, 210)(35, 211)(36, 212)(37, 191)(38, 213)(39, 214)(40, 194)(41, 215)(42, 216)(43, 189)(44, 190)(45, 192)(46, 193)(47, 195)(48, 196)(49, 197)(50, 198)(51, 200)(52, 201)(53, 203)(54, 204)(55, 235)(56, 236)(57, 237)(58, 238)(59, 239)(60, 240)(61, 241)(62, 242)(63, 243)(64, 244)(65, 245)(66, 246)(67, 247)(68, 248)(69, 249)(70, 250)(71, 251)(72, 252)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 277)(92, 278)(93, 279)(94, 280)(95, 281)(96, 270)(97, 282)(98, 283)(99, 273)(100, 284)(101, 285)(102, 286)(103, 287)(104, 288)(105, 289)(106, 290)(107, 291)(108, 258)(109, 292)(110, 293)(111, 261)(112, 294)(113, 295)(114, 296)(115, 253)(116, 254)(117, 255)(118, 256)(119, 257)(120, 259)(121, 260)(122, 262)(123, 263)(124, 264)(125, 265)(126, 266)(127, 267)(128, 268)(129, 269)(130, 271)(131, 272)(132, 274)(133, 275)(134, 276)(135, 311)(136, 319)(137, 313)(138, 320)(139, 321)(140, 316)(141, 322)(142, 323)(143, 312)(144, 314)(145, 315)(146, 317)(147, 318)(148, 324)(149, 297)(150, 305)(151, 299)(152, 306)(153, 307)(154, 302)(155, 308)(156, 309)(157, 298)(158, 300)(159, 301)(160, 303)(161, 304)(162, 310)(325, 488)(326, 487)(327, 493)(328, 494)(329, 495)(330, 496)(331, 489)(332, 490)(333, 491)(334, 492)(335, 505)(336, 506)(337, 507)(338, 508)(339, 509)(340, 510)(341, 511)(342, 512)(343, 497)(344, 498)(345, 499)(346, 500)(347, 501)(348, 502)(349, 503)(350, 504)(351, 529)(352, 530)(353, 523)(354, 531)(355, 532)(356, 526)(357, 533)(358, 534)(359, 535)(360, 536)(361, 515)(362, 537)(363, 538)(364, 518)(365, 539)(366, 540)(367, 513)(368, 514)(369, 516)(370, 517)(371, 519)(372, 520)(373, 521)(374, 522)(375, 524)(376, 525)(377, 527)(378, 528)(379, 559)(380, 560)(381, 561)(382, 562)(383, 563)(384, 564)(385, 565)(386, 566)(387, 567)(388, 568)(389, 569)(390, 570)(391, 571)(392, 572)(393, 573)(394, 574)(395, 575)(396, 576)(397, 541)(398, 542)(399, 543)(400, 544)(401, 545)(402, 546)(403, 547)(404, 548)(405, 549)(406, 550)(407, 551)(408, 552)(409, 553)(410, 554)(411, 555)(412, 556)(413, 557)(414, 558)(415, 601)(416, 602)(417, 603)(418, 604)(419, 605)(420, 594)(421, 606)(422, 607)(423, 597)(424, 608)(425, 609)(426, 610)(427, 611)(428, 612)(429, 613)(430, 614)(431, 615)(432, 582)(433, 616)(434, 617)(435, 585)(436, 618)(437, 619)(438, 620)(439, 577)(440, 578)(441, 579)(442, 580)(443, 581)(444, 583)(445, 584)(446, 586)(447, 587)(448, 588)(449, 589)(450, 590)(451, 591)(452, 592)(453, 593)(454, 595)(455, 596)(456, 598)(457, 599)(458, 600)(459, 635)(460, 643)(461, 637)(462, 644)(463, 645)(464, 640)(465, 646)(466, 647)(467, 636)(468, 638)(469, 639)(470, 641)(471, 642)(472, 648)(473, 621)(474, 629)(475, 623)(476, 630)(477, 631)(478, 626)(479, 632)(480, 633)(481, 622)(482, 624)(483, 625)(484, 627)(485, 628)(486, 634)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2683
Transitivity :: VT+
Graph:: bipartite
	v = 54 e = 324 f = 216
	degree seq :: [ 12^54 ]

E28.2692 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 15>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y2 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1, (Y3^-1 * Y1 * Y2)^3, (Y3 * Y2 * Y1)^3, (Y2 * Y3^-1 * Y1)^3, (Y1 * Y3^-1 * Y2)^3, (Y2 * Y1 * Y3)^3, Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y3^-1, Y2 * Y1 * Y3^-1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1, Y3 * Y2 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y2 * Y3 * Y1 ]
Map::
	R = (1, 163, 325, 487, 4, 166, 328, 490, 5, 167, 329, 491)(2, 164, 326, 488, 7, 169, 331, 493, 8, 170, 332, 494)(3, 165, 327, 489, 10, 172, 334, 496, 11, 173, 335, 497)(6, 168, 330, 492, 17, 179, 341, 503, 18, 180, 342, 504)(9, 171, 333, 495, 24, 186, 348, 510, 25, 187, 349, 511)(12, 174, 336, 498, 31, 193, 355, 517, 32, 194, 356, 518)(13, 175, 337, 499, 34, 196, 358, 520, 35, 197, 359, 521)(14, 176, 338, 500, 37, 199, 361, 523, 38, 200, 362, 524)(15, 177, 339, 501, 40, 202, 364, 526, 41, 203, 365, 527)(16, 178, 340, 502, 43, 205, 367, 529, 44, 206, 368, 530)(19, 181, 343, 505, 50, 212, 374, 536, 51, 213, 375, 537)(20, 182, 344, 506, 53, 215, 377, 539, 54, 216, 378, 540)(21, 183, 345, 507, 56, 218, 380, 542, 57, 219, 381, 543)(22, 184, 346, 508, 59, 221, 383, 545, 60, 222, 384, 546)(23, 185, 347, 509, 62, 224, 386, 548, 63, 225, 387, 549)(26, 188, 350, 512, 69, 231, 393, 555, 70, 232, 394, 556)(27, 189, 351, 513, 72, 234, 396, 558, 73, 235, 397, 559)(28, 190, 352, 514, 75, 237, 399, 561, 76, 238, 400, 562)(29, 191, 353, 515, 78, 240, 402, 564, 79, 241, 403, 565)(30, 192, 354, 516, 81, 243, 405, 567, 82, 244, 406, 568)(33, 195, 357, 519, 85, 247, 409, 571, 86, 248, 410, 572)(36, 198, 360, 522, 91, 253, 415, 577, 92, 254, 416, 578)(39, 201, 363, 525, 97, 259, 421, 583, 98, 260, 422, 584)(42, 204, 366, 528, 101, 263, 425, 587, 83, 245, 407, 569)(45, 207, 369, 531, 105, 267, 429, 591, 106, 268, 430, 592)(46, 208, 370, 532, 108, 270, 432, 594, 109, 271, 433, 595)(47, 209, 371, 533, 110, 272, 434, 596, 111, 273, 435, 597)(48, 210, 372, 534, 113, 275, 437, 599, 64, 226, 388, 550)(49, 211, 373, 535, 115, 277, 439, 601, 116, 278, 440, 602)(52, 214, 376, 538, 74, 236, 398, 560, 118, 280, 442, 604)(55, 217, 379, 541, 121, 283, 445, 607, 122, 284, 446, 608)(58, 220, 382, 544, 127, 289, 451, 613, 68, 230, 392, 554)(61, 223, 385, 547, 99, 261, 423, 585, 104, 266, 428, 590)(65, 227, 389, 551, 132, 294, 456, 618, 133, 295, 457, 619)(66, 228, 390, 552, 135, 297, 459, 621, 136, 298, 460, 622)(67, 229, 391, 553, 100, 262, 424, 586, 128, 290, 452, 614)(71, 233, 395, 557, 138, 300, 462, 624, 139, 301, 463, 625)(77, 239, 401, 563, 145, 307, 469, 631, 146, 308, 470, 632)(80, 242, 404, 566, 147, 309, 471, 633, 143, 305, 467, 629)(84, 246, 408, 570, 149, 311, 473, 635, 141, 303, 465, 627)(87, 249, 411, 573, 93, 255, 417, 579, 150, 312, 474, 636)(88, 250, 412, 574, 151, 313, 475, 637, 126, 288, 450, 612)(89, 251, 413, 575, 95, 257, 419, 581, 152, 314, 476, 638)(90, 252, 414, 576, 123, 285, 447, 609, 153, 315, 477, 639)(94, 256, 418, 580, 137, 299, 461, 623, 154, 316, 478, 640)(96, 258, 420, 582, 119, 281, 443, 605, 155, 317, 479, 641)(102, 264, 426, 588, 130, 292, 454, 616, 157, 319, 481, 643)(103, 265, 427, 589, 158, 320, 482, 644, 131, 293, 455, 617)(107, 269, 431, 593, 142, 304, 466, 628, 159, 321, 483, 645)(112, 274, 436, 598, 162, 324, 486, 648, 129, 291, 453, 615)(114, 276, 438, 600, 144, 306, 468, 630, 161, 323, 485, 647)(117, 279, 441, 603, 134, 296, 458, 620, 160, 322, 484, 646)(120, 282, 444, 606, 125, 287, 449, 611, 148, 310, 472, 634)(124, 286, 448, 610, 156, 318, 480, 642, 140, 302, 464, 626)
	L = (1, 164)(2, 163)(3, 171)(4, 174)(5, 176)(6, 178)(7, 181)(8, 183)(9, 165)(10, 188)(11, 190)(12, 166)(13, 195)(14, 167)(15, 201)(16, 168)(17, 207)(18, 209)(19, 169)(20, 214)(21, 170)(22, 220)(23, 223)(24, 226)(25, 228)(26, 172)(27, 233)(28, 173)(29, 239)(30, 242)(31, 234)(32, 240)(33, 175)(34, 231)(35, 250)(36, 252)(37, 255)(38, 257)(39, 177)(40, 232)(41, 261)(42, 262)(43, 241)(44, 265)(45, 179)(46, 269)(47, 180)(48, 274)(49, 276)(50, 270)(51, 275)(52, 182)(53, 267)(54, 281)(55, 249)(56, 285)(57, 287)(58, 184)(59, 268)(60, 290)(61, 185)(62, 263)(63, 292)(64, 186)(65, 254)(66, 187)(67, 243)(68, 299)(69, 196)(70, 202)(71, 189)(72, 193)(73, 282)(74, 304)(75, 286)(76, 246)(77, 191)(78, 194)(79, 205)(80, 192)(81, 229)(82, 280)(83, 294)(84, 238)(85, 300)(86, 278)(87, 217)(88, 197)(89, 271)(90, 198)(91, 289)(92, 227)(93, 199)(94, 272)(95, 200)(96, 288)(97, 283)(98, 318)(99, 203)(100, 204)(101, 224)(102, 284)(103, 206)(104, 277)(105, 215)(106, 221)(107, 208)(108, 212)(109, 251)(110, 256)(111, 279)(112, 210)(113, 213)(114, 211)(115, 266)(116, 248)(117, 273)(118, 244)(119, 216)(120, 235)(121, 259)(122, 264)(123, 218)(124, 237)(125, 219)(126, 258)(127, 253)(128, 222)(129, 315)(130, 225)(131, 317)(132, 245)(133, 323)(134, 302)(135, 321)(136, 313)(137, 230)(138, 247)(139, 320)(140, 296)(141, 324)(142, 236)(143, 319)(144, 310)(145, 322)(146, 312)(147, 314)(148, 306)(149, 316)(150, 308)(151, 298)(152, 309)(153, 291)(154, 311)(155, 293)(156, 260)(157, 305)(158, 301)(159, 297)(160, 307)(161, 295)(162, 303)(325, 489)(326, 492)(327, 487)(328, 499)(329, 501)(330, 488)(331, 506)(332, 508)(333, 509)(334, 513)(335, 515)(336, 516)(337, 490)(338, 522)(339, 491)(340, 528)(341, 532)(342, 534)(343, 535)(344, 493)(345, 541)(346, 494)(347, 495)(348, 551)(349, 553)(350, 554)(351, 496)(352, 560)(353, 497)(354, 498)(355, 569)(356, 545)(357, 570)(358, 573)(359, 575)(360, 500)(361, 580)(362, 546)(363, 582)(364, 537)(365, 543)(366, 502)(367, 588)(368, 590)(369, 584)(370, 503)(371, 571)(372, 504)(373, 505)(374, 549)(375, 526)(376, 603)(377, 576)(378, 606)(379, 507)(380, 610)(381, 527)(382, 612)(383, 518)(384, 524)(385, 592)(386, 615)(387, 536)(388, 617)(389, 510)(390, 620)(391, 511)(392, 512)(393, 591)(394, 586)(395, 581)(396, 626)(397, 627)(398, 514)(399, 629)(400, 614)(401, 630)(402, 599)(403, 622)(404, 623)(405, 634)(406, 625)(407, 517)(408, 519)(409, 533)(410, 613)(411, 520)(412, 619)(413, 521)(414, 539)(415, 631)(416, 608)(417, 621)(418, 523)(419, 557)(420, 525)(421, 604)(422, 531)(423, 597)(424, 556)(425, 632)(426, 529)(427, 635)(428, 530)(429, 555)(430, 547)(431, 611)(432, 640)(433, 646)(434, 647)(435, 585)(436, 633)(437, 564)(438, 642)(439, 638)(440, 645)(441, 538)(442, 583)(443, 643)(444, 540)(445, 648)(446, 578)(447, 644)(448, 542)(449, 593)(450, 544)(451, 572)(452, 562)(453, 548)(454, 624)(455, 550)(456, 628)(457, 574)(458, 552)(459, 579)(460, 565)(461, 566)(462, 616)(463, 568)(464, 558)(465, 559)(466, 618)(467, 561)(468, 563)(469, 577)(470, 587)(471, 598)(472, 567)(473, 589)(474, 641)(475, 639)(476, 601)(477, 637)(478, 594)(479, 636)(480, 600)(481, 605)(482, 609)(483, 602)(484, 595)(485, 596)(486, 607)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2686
Transitivity :: VT+
Graph:: bipartite
	v = 54 e = 324 f = 216
	degree seq :: [ 12^54 ]

E28.2693 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 15>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, Y3^3, R * Y1 * R * Y2, (R * Y3)^2, (Y1 * Y3^-1)^6, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1, (Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1)^3 ]
Map::
	R = (1, 163, 325, 487, 3, 165, 327, 489, 4, 166, 328, 490)(2, 164, 326, 488, 5, 167, 329, 491, 6, 168, 330, 492)(7, 169, 331, 493, 11, 173, 335, 497, 12, 174, 336, 498)(8, 170, 332, 494, 13, 175, 337, 499, 14, 176, 338, 500)(9, 171, 333, 495, 15, 177, 339, 501, 16, 178, 340, 502)(10, 172, 334, 496, 17, 179, 341, 503, 18, 180, 342, 504)(19, 181, 343, 505, 27, 189, 351, 513, 28, 190, 352, 514)(20, 182, 344, 506, 29, 191, 353, 515, 30, 192, 354, 516)(21, 183, 345, 507, 31, 193, 355, 517, 32, 194, 356, 518)(22, 184, 346, 508, 33, 195, 357, 519, 34, 196, 358, 520)(23, 185, 347, 509, 35, 197, 359, 521, 36, 198, 360, 522)(24, 186, 348, 510, 37, 199, 361, 523, 38, 200, 362, 524)(25, 187, 349, 511, 39, 201, 363, 525, 40, 202, 364, 526)(26, 188, 350, 512, 41, 203, 365, 527, 42, 204, 366, 528)(43, 205, 367, 529, 55, 217, 379, 541, 56, 218, 380, 542)(44, 206, 368, 530, 57, 219, 381, 543, 58, 220, 382, 544)(45, 207, 369, 531, 59, 221, 383, 545, 46, 208, 370, 532)(47, 209, 371, 533, 60, 222, 384, 546, 61, 223, 385, 547)(48, 210, 372, 534, 62, 224, 386, 548, 63, 225, 387, 549)(49, 211, 373, 535, 64, 226, 388, 550, 65, 227, 389, 551)(50, 212, 374, 536, 66, 228, 390, 552, 67, 229, 391, 553)(51, 213, 375, 537, 68, 230, 392, 554, 52, 214, 376, 538)(53, 215, 377, 539, 69, 231, 393, 555, 70, 232, 394, 556)(54, 216, 378, 540, 71, 233, 395, 557, 72, 234, 396, 558)(73, 235, 397, 559, 91, 253, 415, 577, 92, 254, 416, 578)(74, 236, 398, 560, 93, 255, 417, 579, 75, 237, 399, 561)(76, 238, 400, 562, 94, 256, 418, 580, 95, 257, 419, 581)(77, 239, 401, 563, 96, 258, 420, 582, 97, 259, 421, 583)(78, 240, 402, 564, 98, 260, 422, 584, 99, 261, 423, 585)(79, 241, 403, 565, 100, 262, 424, 586, 80, 242, 404, 566)(81, 243, 405, 567, 101, 263, 425, 587, 102, 264, 426, 588)(82, 244, 406, 568, 103, 265, 427, 589, 104, 266, 428, 590)(83, 245, 407, 569, 105, 267, 429, 591, 84, 246, 408, 570)(85, 247, 409, 571, 106, 268, 430, 592, 107, 269, 431, 593)(86, 248, 410, 572, 108, 270, 432, 594, 109, 271, 433, 595)(87, 249, 411, 573, 110, 272, 434, 596, 111, 273, 435, 597)(88, 250, 412, 574, 112, 274, 436, 598, 89, 251, 413, 575)(90, 252, 414, 576, 113, 275, 437, 599, 114, 276, 438, 600)(115, 277, 439, 601, 135, 297, 459, 621, 136, 298, 460, 622)(116, 278, 440, 602, 137, 299, 461, 623, 138, 300, 462, 624)(117, 279, 441, 603, 139, 301, 463, 625, 140, 302, 464, 626)(118, 280, 442, 604, 141, 303, 465, 627, 119, 281, 443, 605)(120, 282, 444, 606, 142, 304, 466, 628, 121, 283, 445, 607)(122, 284, 446, 608, 143, 305, 467, 629, 144, 306, 468, 630)(123, 285, 447, 609, 145, 307, 469, 631, 146, 308, 470, 632)(124, 286, 448, 610, 147, 309, 471, 633, 148, 310, 472, 634)(125, 287, 449, 611, 149, 311, 473, 635, 150, 312, 474, 636)(126, 288, 450, 612, 151, 313, 475, 637, 152, 314, 476, 638)(127, 289, 451, 613, 153, 315, 477, 639, 154, 316, 478, 640)(128, 290, 452, 614, 155, 317, 479, 641, 129, 291, 453, 615)(130, 292, 454, 616, 156, 318, 480, 642, 131, 293, 455, 617)(132, 294, 456, 618, 157, 319, 481, 643, 158, 320, 482, 644)(133, 295, 457, 619, 159, 321, 483, 645, 160, 322, 484, 646)(134, 296, 458, 620, 161, 323, 485, 647, 162, 324, 486, 648)
	L = (1, 164)(2, 163)(3, 169)(4, 170)(5, 171)(6, 172)(7, 165)(8, 166)(9, 167)(10, 168)(11, 181)(12, 182)(13, 183)(14, 184)(15, 185)(16, 186)(17, 187)(18, 188)(19, 173)(20, 174)(21, 175)(22, 176)(23, 177)(24, 178)(25, 179)(26, 180)(27, 204)(28, 205)(29, 206)(30, 207)(31, 208)(32, 209)(33, 210)(34, 197)(35, 196)(36, 211)(37, 212)(38, 213)(39, 214)(40, 215)(41, 216)(42, 189)(43, 190)(44, 191)(45, 192)(46, 193)(47, 194)(48, 195)(49, 198)(50, 199)(51, 200)(52, 201)(53, 202)(54, 203)(55, 235)(56, 236)(57, 237)(58, 238)(59, 239)(60, 240)(61, 241)(62, 242)(63, 243)(64, 244)(65, 245)(66, 246)(67, 247)(68, 248)(69, 249)(70, 250)(71, 251)(72, 252)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 276)(92, 277)(93, 278)(94, 279)(95, 280)(96, 281)(97, 282)(98, 283)(99, 284)(100, 285)(101, 286)(102, 265)(103, 264)(104, 287)(105, 288)(106, 289)(107, 290)(108, 291)(109, 292)(110, 293)(111, 294)(112, 295)(113, 296)(114, 253)(115, 254)(116, 255)(117, 256)(118, 257)(119, 258)(120, 259)(121, 260)(122, 261)(123, 262)(124, 263)(125, 266)(126, 267)(127, 268)(128, 269)(129, 270)(130, 271)(131, 272)(132, 273)(133, 274)(134, 275)(135, 315)(136, 314)(137, 313)(138, 312)(139, 311)(140, 319)(141, 318)(142, 317)(143, 316)(144, 324)(145, 323)(146, 322)(147, 321)(148, 320)(149, 301)(150, 300)(151, 299)(152, 298)(153, 297)(154, 305)(155, 304)(156, 303)(157, 302)(158, 310)(159, 309)(160, 308)(161, 307)(162, 306)(325, 488)(326, 487)(327, 493)(328, 494)(329, 495)(330, 496)(331, 489)(332, 490)(333, 491)(334, 492)(335, 505)(336, 506)(337, 507)(338, 508)(339, 509)(340, 510)(341, 511)(342, 512)(343, 497)(344, 498)(345, 499)(346, 500)(347, 501)(348, 502)(349, 503)(350, 504)(351, 528)(352, 529)(353, 530)(354, 531)(355, 532)(356, 533)(357, 534)(358, 521)(359, 520)(360, 535)(361, 536)(362, 537)(363, 538)(364, 539)(365, 540)(366, 513)(367, 514)(368, 515)(369, 516)(370, 517)(371, 518)(372, 519)(373, 522)(374, 523)(375, 524)(376, 525)(377, 526)(378, 527)(379, 559)(380, 560)(381, 561)(382, 562)(383, 563)(384, 564)(385, 565)(386, 566)(387, 567)(388, 568)(389, 569)(390, 570)(391, 571)(392, 572)(393, 573)(394, 574)(395, 575)(396, 576)(397, 541)(398, 542)(399, 543)(400, 544)(401, 545)(402, 546)(403, 547)(404, 548)(405, 549)(406, 550)(407, 551)(408, 552)(409, 553)(410, 554)(411, 555)(412, 556)(413, 557)(414, 558)(415, 600)(416, 601)(417, 602)(418, 603)(419, 604)(420, 605)(421, 606)(422, 607)(423, 608)(424, 609)(425, 610)(426, 589)(427, 588)(428, 611)(429, 612)(430, 613)(431, 614)(432, 615)(433, 616)(434, 617)(435, 618)(436, 619)(437, 620)(438, 577)(439, 578)(440, 579)(441, 580)(442, 581)(443, 582)(444, 583)(445, 584)(446, 585)(447, 586)(448, 587)(449, 590)(450, 591)(451, 592)(452, 593)(453, 594)(454, 595)(455, 596)(456, 597)(457, 598)(458, 599)(459, 639)(460, 638)(461, 637)(462, 636)(463, 635)(464, 643)(465, 642)(466, 641)(467, 640)(468, 648)(469, 647)(470, 646)(471, 645)(472, 644)(473, 625)(474, 624)(475, 623)(476, 622)(477, 621)(478, 629)(479, 628)(480, 627)(481, 626)(482, 634)(483, 633)(484, 632)(485, 631)(486, 630)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2685
Transitivity :: VT+
Graph:: bipartite
	v = 54 e = 324 f = 216
	degree seq :: [ 12^54 ]

E28.2694 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 15>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (R * Y3)^2, R * Y2 * R * Y1, Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y2 * Y3 * Y2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y1 * Y3 * Y1, (Y1 * Y2 * Y3^-1)^3, (Y1 * Y3 * Y2)^3, (Y2 * Y1 * Y3)^3, (Y1 * Y3^-1 * Y2)^3, (Y3^-1 * Y1 * Y3 * Y1 * Y2)^2, (Y3^-1 * Y1 * Y2 * Y3 * Y2)^2 ]
Map::
	R = (1, 163, 325, 487, 4, 166, 328, 490, 5, 167, 329, 491)(2, 164, 326, 488, 7, 169, 331, 493, 8, 170, 332, 494)(3, 165, 327, 489, 10, 172, 334, 496, 11, 173, 335, 497)(6, 168, 330, 492, 17, 179, 341, 503, 18, 180, 342, 504)(9, 171, 333, 495, 24, 186, 348, 510, 25, 187, 349, 511)(12, 174, 336, 498, 31, 193, 355, 517, 32, 194, 356, 518)(13, 175, 337, 499, 34, 196, 358, 520, 35, 197, 359, 521)(14, 176, 338, 500, 37, 199, 361, 523, 38, 200, 362, 524)(15, 177, 339, 501, 40, 202, 364, 526, 41, 203, 365, 527)(16, 178, 340, 502, 43, 205, 367, 529, 44, 206, 368, 530)(19, 181, 343, 505, 50, 212, 374, 536, 51, 213, 375, 537)(20, 182, 344, 506, 53, 215, 377, 539, 54, 216, 378, 540)(21, 183, 345, 507, 56, 218, 380, 542, 57, 219, 381, 543)(22, 184, 346, 508, 59, 221, 383, 545, 60, 222, 384, 546)(23, 185, 347, 509, 61, 223, 385, 547, 48, 210, 372, 534)(26, 188, 350, 512, 66, 228, 390, 552, 67, 229, 391, 553)(27, 189, 351, 513, 69, 231, 393, 555, 70, 232, 394, 556)(28, 190, 352, 514, 72, 234, 396, 558, 73, 235, 397, 559)(29, 191, 353, 515, 42, 204, 366, 528, 75, 237, 399, 561)(30, 192, 354, 516, 77, 239, 401, 563, 78, 240, 402, 564)(33, 195, 357, 519, 80, 242, 404, 566, 81, 243, 405, 567)(36, 198, 360, 522, 85, 247, 409, 571, 86, 248, 410, 572)(39, 201, 363, 525, 91, 253, 415, 577, 92, 254, 416, 578)(45, 207, 369, 531, 97, 259, 421, 583, 98, 260, 422, 584)(46, 208, 370, 532, 100, 262, 424, 586, 101, 263, 425, 587)(47, 209, 371, 533, 102, 264, 426, 588, 103, 265, 427, 589)(49, 211, 373, 535, 106, 268, 430, 592, 107, 269, 431, 593)(52, 214, 376, 538, 71, 233, 395, 557, 109, 271, 433, 595)(55, 217, 379, 541, 113, 275, 437, 599, 114, 276, 438, 600)(58, 220, 382, 544, 119, 281, 443, 605, 65, 227, 389, 551)(62, 224, 386, 548, 123, 285, 447, 609, 124, 286, 448, 610)(63, 225, 387, 549, 126, 288, 450, 612, 127, 289, 451, 613)(64, 226, 388, 550, 128, 290, 452, 614, 120, 282, 444, 606)(68, 230, 392, 554, 130, 292, 454, 616, 131, 293, 455, 617)(74, 236, 398, 560, 137, 299, 461, 623, 138, 300, 462, 624)(76, 238, 400, 562, 140, 302, 464, 626, 134, 296, 458, 620)(79, 241, 403, 565, 142, 304, 466, 628, 121, 283, 445, 607)(82, 244, 406, 568, 87, 249, 411, 573, 143, 305, 467, 629)(83, 245, 407, 569, 144, 306, 468, 630, 118, 280, 442, 604)(84, 246, 408, 570, 89, 251, 413, 575, 145, 307, 469, 631)(88, 250, 412, 574, 129, 291, 453, 615, 147, 309, 471, 633)(90, 252, 414, 576, 111, 273, 435, 597, 146, 308, 470, 632)(93, 255, 417, 579, 96, 258, 420, 582, 149, 311, 473, 635)(94, 256, 418, 580, 150, 312, 474, 636, 151, 313, 475, 637)(95, 257, 419, 581, 152, 314, 476, 638, 122, 284, 446, 608)(99, 261, 423, 585, 136, 298, 460, 622, 153, 315, 477, 639)(104, 266, 428, 590, 157, 319, 481, 643, 158, 320, 482, 644)(105, 267, 429, 591, 125, 287, 449, 611, 155, 317, 479, 641)(108, 270, 432, 594, 159, 321, 483, 645, 139, 301, 463, 625)(110, 272, 434, 596, 115, 277, 439, 601, 160, 322, 484, 646)(112, 274, 436, 598, 117, 279, 441, 603, 141, 303, 465, 627)(116, 278, 440, 602, 148, 310, 472, 634, 132, 294, 456, 618)(133, 295, 457, 619, 135, 297, 459, 621, 162, 324, 486, 648)(154, 316, 478, 640, 156, 318, 480, 642, 161, 323, 485, 647)
	L = (1, 164)(2, 163)(3, 171)(4, 174)(5, 176)(6, 178)(7, 181)(8, 183)(9, 165)(10, 188)(11, 190)(12, 166)(13, 195)(14, 167)(15, 201)(16, 168)(17, 207)(18, 209)(19, 169)(20, 214)(21, 170)(22, 220)(23, 213)(24, 205)(25, 225)(26, 172)(27, 230)(28, 173)(29, 236)(30, 238)(31, 231)(32, 204)(33, 175)(34, 228)(35, 245)(36, 217)(37, 249)(38, 251)(39, 177)(40, 229)(41, 255)(42, 194)(43, 186)(44, 257)(45, 179)(46, 261)(47, 180)(48, 266)(49, 267)(50, 262)(51, 185)(52, 182)(53, 259)(54, 273)(55, 198)(56, 277)(57, 279)(58, 184)(59, 260)(60, 282)(61, 283)(62, 248)(63, 187)(64, 239)(65, 291)(66, 196)(67, 202)(68, 189)(69, 193)(70, 274)(71, 287)(72, 278)(73, 297)(74, 191)(75, 301)(76, 192)(77, 226)(78, 271)(79, 285)(80, 302)(81, 269)(82, 252)(83, 197)(84, 263)(85, 281)(86, 224)(87, 199)(88, 264)(89, 200)(90, 244)(91, 275)(92, 310)(93, 203)(94, 276)(95, 206)(96, 268)(97, 215)(98, 221)(99, 208)(100, 212)(101, 246)(102, 250)(103, 318)(104, 210)(105, 211)(106, 258)(107, 243)(108, 312)(109, 240)(110, 280)(111, 216)(112, 232)(113, 253)(114, 256)(115, 218)(116, 234)(117, 219)(118, 272)(119, 247)(120, 222)(121, 223)(122, 308)(123, 241)(124, 315)(125, 233)(126, 316)(127, 306)(128, 304)(129, 227)(130, 309)(131, 313)(132, 298)(133, 314)(134, 319)(135, 235)(136, 294)(137, 317)(138, 305)(139, 237)(140, 242)(141, 323)(142, 290)(143, 300)(144, 289)(145, 324)(146, 284)(147, 292)(148, 254)(149, 321)(150, 270)(151, 293)(152, 295)(153, 286)(154, 288)(155, 299)(156, 265)(157, 296)(158, 322)(159, 311)(160, 320)(161, 303)(162, 307)(325, 489)(326, 492)(327, 487)(328, 499)(329, 501)(330, 488)(331, 506)(332, 508)(333, 509)(334, 513)(335, 515)(336, 516)(337, 490)(338, 522)(339, 491)(340, 528)(341, 532)(342, 534)(343, 535)(344, 493)(345, 541)(346, 494)(347, 495)(348, 548)(349, 550)(350, 551)(351, 496)(352, 557)(353, 497)(354, 498)(355, 565)(356, 545)(357, 554)(358, 568)(359, 570)(360, 500)(361, 574)(362, 546)(363, 576)(364, 537)(365, 543)(366, 502)(367, 580)(368, 582)(369, 578)(370, 503)(371, 566)(372, 504)(373, 505)(374, 594)(375, 526)(376, 585)(377, 596)(378, 598)(379, 507)(380, 602)(381, 527)(382, 604)(383, 518)(384, 524)(385, 608)(386, 510)(387, 611)(388, 511)(389, 512)(390, 583)(391, 614)(392, 519)(393, 618)(394, 619)(395, 514)(396, 620)(397, 606)(398, 622)(399, 613)(400, 575)(401, 627)(402, 617)(403, 517)(404, 533)(405, 605)(406, 520)(407, 610)(408, 521)(409, 623)(410, 632)(411, 612)(412, 523)(413, 562)(414, 525)(415, 595)(416, 531)(417, 589)(418, 529)(419, 626)(420, 530)(421, 552)(422, 635)(423, 538)(424, 633)(425, 640)(426, 641)(427, 579)(428, 616)(429, 603)(430, 631)(431, 639)(432, 536)(433, 577)(434, 539)(435, 637)(436, 540)(437, 643)(438, 630)(439, 638)(440, 542)(441, 591)(442, 544)(443, 567)(444, 559)(445, 624)(446, 547)(447, 647)(448, 569)(449, 549)(450, 573)(451, 561)(452, 553)(453, 621)(454, 590)(455, 564)(456, 555)(457, 556)(458, 558)(459, 615)(460, 560)(461, 571)(462, 607)(463, 644)(464, 581)(465, 563)(466, 645)(467, 646)(468, 600)(469, 592)(470, 572)(471, 586)(472, 642)(473, 584)(474, 648)(475, 597)(476, 601)(477, 593)(478, 587)(479, 588)(480, 634)(481, 599)(482, 625)(483, 628)(484, 629)(485, 609)(486, 636)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2684
Transitivity :: VT+
Graph:: bipartite
	v = 54 e = 324 f = 216
	degree seq :: [ 12^54 ]

E28.2695 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 15>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3 * Y2, Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2, (Y1 * Y3^-1 * Y2)^3, (Y2 * Y1 * Y3)^3, (Y3^-1 * Y2 * Y1 * Y3 * Y1)^2, Y3^-1 * Y1 * Y2 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 163, 325, 487, 4, 166, 328, 490, 5, 167, 329, 491)(2, 164, 326, 488, 7, 169, 331, 493, 8, 170, 332, 494)(3, 165, 327, 489, 10, 172, 334, 496, 11, 173, 335, 497)(6, 168, 330, 492, 17, 179, 341, 503, 18, 180, 342, 504)(9, 171, 333, 495, 24, 186, 348, 510, 25, 187, 349, 511)(12, 174, 336, 498, 31, 193, 355, 517, 32, 194, 356, 518)(13, 175, 337, 499, 34, 196, 358, 520, 35, 197, 359, 521)(14, 176, 338, 500, 37, 199, 361, 523, 38, 200, 362, 524)(15, 177, 339, 501, 40, 202, 364, 526, 41, 203, 365, 527)(16, 178, 340, 502, 43, 205, 367, 529, 44, 206, 368, 530)(19, 181, 343, 505, 50, 212, 374, 536, 51, 213, 375, 537)(20, 182, 344, 506, 53, 215, 377, 539, 54, 216, 378, 540)(21, 183, 345, 507, 56, 218, 380, 542, 57, 219, 381, 543)(22, 184, 346, 508, 59, 221, 383, 545, 60, 222, 384, 546)(23, 185, 347, 509, 46, 208, 370, 532, 61, 223, 385, 547)(26, 188, 350, 512, 66, 228, 390, 552, 67, 229, 391, 553)(27, 189, 351, 513, 69, 231, 393, 555, 42, 204, 366, 528)(28, 190, 352, 514, 71, 233, 395, 557, 72, 234, 396, 558)(29, 191, 353, 515, 74, 236, 398, 560, 75, 237, 399, 561)(30, 192, 354, 516, 76, 238, 400, 562, 77, 239, 401, 563)(33, 195, 357, 519, 82, 244, 406, 568, 83, 245, 407, 569)(36, 198, 360, 522, 86, 248, 410, 572, 87, 249, 411, 573)(39, 201, 363, 525, 89, 251, 413, 575, 90, 252, 414, 576)(45, 207, 369, 531, 97, 259, 421, 583, 98, 260, 422, 584)(47, 209, 371, 533, 100, 262, 424, 586, 101, 263, 425, 587)(48, 210, 372, 534, 103, 265, 427, 589, 104, 266, 428, 590)(49, 211, 373, 535, 105, 267, 429, 591, 106, 268, 430, 592)(52, 214, 376, 538, 70, 232, 394, 556, 111, 273, 435, 597)(55, 217, 379, 541, 114, 276, 438, 600, 115, 277, 439, 601)(58, 220, 382, 544, 117, 279, 441, 603, 65, 227, 389, 551)(62, 224, 386, 548, 124, 286, 448, 610, 125, 287, 449, 611)(63, 225, 387, 549, 112, 274, 436, 598, 126, 288, 450, 612)(64, 226, 388, 550, 127, 289, 451, 613, 128, 290, 452, 614)(68, 230, 392, 554, 132, 294, 456, 618, 133, 295, 457, 619)(73, 235, 397, 559, 136, 298, 460, 622, 137, 299, 461, 623)(78, 240, 402, 564, 92, 254, 416, 578, 141, 303, 465, 627)(79, 241, 403, 565, 93, 255, 417, 579, 142, 304, 466, 628)(80, 242, 404, 566, 143, 305, 467, 629, 135, 297, 459, 621)(81, 243, 405, 567, 140, 302, 464, 626, 118, 280, 442, 604)(84, 246, 408, 570, 145, 307, 469, 631, 95, 257, 419, 581)(85, 247, 409, 571, 130, 292, 454, 616, 146, 308, 470, 632)(88, 250, 412, 574, 121, 283, 445, 607, 148, 310, 472, 634)(91, 253, 415, 577, 110, 272, 434, 596, 149, 311, 473, 635)(94, 256, 418, 580, 122, 284, 446, 608, 150, 312, 474, 636)(96, 258, 420, 582, 151, 313, 475, 637, 152, 314, 476, 638)(99, 261, 423, 585, 155, 317, 479, 641, 156, 318, 480, 642)(102, 264, 426, 588, 157, 319, 481, 643, 131, 293, 455, 617)(107, 269, 431, 593, 119, 281, 443, 605, 147, 309, 471, 633)(108, 270, 432, 594, 120, 282, 444, 606, 159, 321, 483, 645)(109, 271, 433, 595, 139, 301, 463, 625, 144, 306, 468, 630)(113, 275, 437, 599, 154, 316, 478, 640, 123, 285, 447, 609)(116, 278, 440, 602, 134, 296, 458, 620, 160, 322, 484, 646)(129, 291, 453, 615, 138, 300, 462, 624, 162, 324, 486, 648)(153, 315, 477, 639, 158, 320, 482, 644, 161, 323, 485, 647)
	L = (1, 164)(2, 163)(3, 171)(4, 174)(5, 176)(6, 178)(7, 181)(8, 183)(9, 165)(10, 188)(11, 190)(12, 166)(13, 195)(14, 167)(15, 201)(16, 168)(17, 207)(18, 209)(19, 169)(20, 214)(21, 170)(22, 220)(23, 218)(24, 224)(25, 206)(26, 172)(27, 230)(28, 173)(29, 235)(30, 211)(31, 240)(32, 241)(33, 175)(34, 246)(35, 233)(36, 247)(37, 204)(38, 237)(39, 177)(40, 253)(41, 234)(42, 199)(43, 256)(44, 187)(45, 179)(46, 261)(47, 180)(48, 264)(49, 192)(50, 269)(51, 270)(52, 182)(53, 274)(54, 262)(55, 275)(56, 185)(57, 266)(58, 184)(59, 280)(60, 263)(61, 283)(62, 186)(63, 249)(64, 238)(65, 285)(66, 291)(67, 271)(68, 189)(69, 296)(70, 297)(71, 197)(72, 203)(73, 191)(74, 281)(75, 200)(76, 226)(77, 273)(78, 193)(79, 194)(80, 260)(81, 255)(82, 306)(83, 268)(84, 196)(85, 198)(86, 279)(87, 225)(88, 290)(89, 276)(90, 308)(91, 202)(92, 265)(93, 243)(94, 205)(95, 277)(96, 267)(97, 315)(98, 242)(99, 208)(100, 216)(101, 222)(102, 210)(103, 254)(104, 219)(105, 258)(106, 245)(107, 212)(108, 213)(109, 229)(110, 282)(111, 239)(112, 215)(113, 217)(114, 251)(115, 257)(116, 314)(117, 248)(118, 221)(119, 236)(120, 272)(121, 223)(122, 302)(123, 227)(124, 311)(125, 320)(126, 310)(127, 319)(128, 250)(129, 228)(130, 318)(131, 301)(132, 304)(133, 316)(134, 231)(135, 232)(136, 313)(137, 305)(138, 312)(139, 293)(140, 284)(141, 324)(142, 294)(143, 299)(144, 244)(145, 322)(146, 252)(147, 323)(148, 288)(149, 286)(150, 300)(151, 298)(152, 278)(153, 259)(154, 295)(155, 321)(156, 292)(157, 289)(158, 287)(159, 317)(160, 307)(161, 309)(162, 303)(325, 489)(326, 492)(327, 487)(328, 499)(329, 501)(330, 488)(331, 506)(332, 508)(333, 509)(334, 513)(335, 515)(336, 516)(337, 490)(338, 522)(339, 491)(340, 528)(341, 532)(342, 534)(343, 535)(344, 493)(345, 541)(346, 494)(347, 495)(348, 549)(349, 550)(350, 551)(351, 496)(352, 556)(353, 497)(354, 498)(355, 539)(356, 566)(357, 567)(358, 536)(359, 542)(360, 500)(361, 540)(362, 574)(363, 559)(364, 578)(365, 579)(366, 502)(367, 581)(368, 582)(369, 576)(370, 503)(371, 568)(372, 504)(373, 505)(374, 520)(375, 595)(376, 596)(377, 517)(378, 523)(379, 507)(380, 521)(381, 602)(382, 588)(383, 605)(384, 606)(385, 608)(386, 609)(387, 510)(388, 511)(389, 512)(390, 598)(391, 616)(392, 617)(393, 610)(394, 514)(395, 612)(396, 587)(397, 525)(398, 624)(399, 625)(400, 626)(401, 619)(402, 571)(403, 611)(404, 518)(405, 519)(406, 533)(407, 603)(408, 583)(409, 564)(410, 622)(411, 633)(412, 524)(413, 597)(414, 531)(415, 613)(416, 526)(417, 527)(418, 632)(419, 529)(420, 530)(421, 570)(422, 640)(423, 623)(424, 631)(425, 558)(426, 544)(427, 644)(428, 629)(429, 635)(430, 642)(431, 599)(432, 636)(433, 537)(434, 538)(435, 575)(436, 552)(437, 593)(438, 643)(439, 627)(440, 543)(441, 569)(442, 637)(443, 545)(444, 546)(445, 618)(446, 547)(447, 548)(448, 555)(449, 565)(450, 557)(451, 577)(452, 647)(453, 621)(454, 553)(455, 554)(456, 607)(457, 563)(458, 641)(459, 615)(460, 572)(461, 585)(462, 560)(463, 561)(464, 562)(465, 601)(466, 645)(467, 590)(468, 639)(469, 586)(470, 580)(471, 573)(472, 646)(473, 591)(474, 594)(475, 604)(476, 648)(477, 630)(478, 584)(479, 620)(480, 592)(481, 600)(482, 589)(483, 628)(484, 634)(485, 614)(486, 638)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2682
Transitivity :: VT+
Graph:: bipartite
	v = 54 e = 324 f = 216
	degree seq :: [ 12^54 ]

E28.2696 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 21>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^3, Y2^3, R * Y1 * R * Y2, (R * Y3)^2, (Y3 * Y1 * Y2)^2, (Y2 * Y3 * Y1)^2, (Y1^-1 * Y3 * Y2^-1)^2, (Y1^-1 * Y2^-1)^3, Y2^-1 * Y3 * Y2^-1 * Y1 * Y3 * Y1, Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-1, (Y1^-1 * Y2^-1 * Y3 * Y1^-1 * Y2)^2, Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y1 * Y3 * Y2 ]
Map:: polyhedral non-degenerate
	R = (1, 163, 325, 487, 4, 166, 328, 490)(2, 164, 326, 488, 8, 170, 332, 494)(3, 165, 327, 489, 11, 173, 335, 497)(5, 167, 329, 491, 18, 180, 342, 504)(6, 168, 330, 492, 21, 183, 345, 507)(7, 169, 331, 493, 24, 186, 348, 510)(9, 171, 333, 495, 31, 193, 355, 517)(10, 172, 334, 496, 34, 196, 358, 520)(12, 174, 336, 498, 40, 202, 364, 526)(13, 175, 337, 499, 43, 205, 367, 529)(14, 176, 338, 500, 46, 208, 370, 532)(15, 177, 339, 501, 48, 210, 372, 534)(16, 178, 340, 502, 50, 212, 374, 536)(17, 179, 341, 503, 44, 206, 368, 530)(19, 181, 343, 505, 57, 219, 381, 543)(20, 182, 344, 506, 47, 209, 371, 533)(22, 184, 346, 508, 42, 204, 366, 528)(23, 185, 347, 509, 64, 226, 388, 550)(25, 187, 349, 511, 66, 228, 390, 552)(26, 188, 350, 512, 68, 230, 392, 554)(27, 189, 351, 513, 70, 232, 394, 556)(28, 190, 352, 514, 72, 234, 396, 558)(29, 191, 353, 515, 74, 236, 398, 560)(30, 192, 354, 516, 71, 233, 395, 557)(32, 194, 356, 518, 38, 200, 362, 524)(33, 195, 357, 519, 65, 227, 389, 551)(35, 197, 359, 521, 83, 245, 407, 569)(36, 198, 360, 522, 85, 247, 409, 571)(37, 199, 361, 523, 52, 214, 376, 538)(39, 201, 363, 525, 54, 216, 378, 540)(41, 203, 365, 527, 91, 253, 415, 577)(45, 207, 369, 531, 93, 255, 417, 579)(49, 211, 373, 535, 102, 264, 426, 588)(51, 213, 375, 537, 105, 267, 429, 591)(53, 215, 377, 539, 58, 220, 382, 544)(55, 217, 379, 541, 84, 246, 408, 570)(56, 218, 380, 542, 107, 269, 431, 593)(59, 221, 383, 545, 110, 272, 434, 596)(60, 222, 384, 546, 111, 273, 435, 597)(61, 223, 385, 547, 112, 274, 436, 598)(62, 224, 386, 548, 88, 250, 412, 574)(63, 225, 387, 549, 89, 251, 413, 575)(67, 229, 391, 553, 115, 277, 439, 601)(69, 231, 393, 555, 117, 279, 441, 603)(73, 235, 397, 559, 126, 288, 450, 612)(75, 237, 399, 561, 129, 291, 453, 615)(76, 238, 400, 562, 130, 292, 454, 616)(77, 239, 401, 563, 96, 258, 420, 582)(78, 240, 402, 564, 114, 276, 438, 600)(79, 241, 403, 565, 132, 294, 456, 618)(80, 242, 404, 566, 133, 295, 457, 619)(81, 243, 405, 567, 135, 297, 459, 621)(82, 244, 406, 568, 131, 293, 455, 617)(86, 248, 410, 572, 141, 303, 465, 627)(87, 249, 411, 573, 142, 304, 466, 628)(90, 252, 414, 576, 144, 306, 468, 630)(92, 254, 416, 578, 145, 307, 469, 631)(94, 256, 418, 580, 147, 309, 471, 633)(95, 257, 419, 581, 149, 311, 473, 635)(97, 259, 421, 583, 99, 261, 423, 585)(98, 260, 422, 584, 152, 314, 476, 638)(100, 262, 424, 586, 148, 310, 472, 634)(101, 263, 425, 587, 153, 315, 477, 639)(103, 265, 427, 589, 154, 316, 478, 640)(104, 266, 428, 590, 151, 313, 475, 637)(106, 268, 430, 592, 146, 308, 470, 632)(108, 270, 432, 594, 150, 312, 474, 636)(109, 271, 433, 595, 120, 282, 444, 606)(113, 275, 437, 599, 124, 286, 448, 610)(116, 278, 440, 602, 138, 300, 462, 624)(118, 280, 442, 604, 158, 320, 482, 644)(119, 281, 443, 605, 134, 296, 458, 620)(121, 283, 445, 607, 123, 285, 447, 609)(122, 284, 446, 608, 155, 317, 479, 641)(125, 287, 449, 611, 143, 305, 467, 629)(127, 289, 451, 613, 159, 321, 483, 645)(128, 290, 452, 614, 157, 319, 481, 643)(136, 298, 460, 622, 162, 324, 486, 648)(137, 299, 461, 623, 160, 322, 484, 646)(139, 301, 463, 625, 156, 318, 480, 642)(140, 302, 464, 626, 161, 323, 485, 647)
	L = (1, 164)(2, 167)(3, 172)(4, 175)(5, 163)(6, 182)(7, 185)(8, 188)(9, 192)(10, 174)(11, 198)(12, 165)(13, 177)(14, 207)(15, 166)(16, 202)(17, 213)(18, 215)(19, 218)(20, 184)(21, 222)(22, 168)(23, 187)(24, 178)(25, 169)(26, 190)(27, 231)(28, 170)(29, 228)(30, 194)(31, 238)(32, 171)(33, 181)(34, 223)(35, 244)(36, 199)(37, 173)(38, 204)(39, 249)(40, 186)(41, 252)(42, 227)(43, 229)(44, 191)(45, 209)(46, 257)(47, 176)(48, 225)(49, 263)(50, 221)(51, 214)(52, 179)(53, 217)(54, 243)(55, 180)(56, 195)(57, 248)(58, 203)(59, 266)(60, 224)(61, 242)(62, 183)(63, 262)(64, 211)(65, 200)(66, 206)(67, 254)(68, 268)(69, 233)(70, 281)(71, 189)(72, 240)(73, 287)(74, 237)(75, 290)(76, 239)(77, 193)(78, 286)(79, 277)(80, 196)(81, 269)(82, 246)(83, 299)(84, 197)(85, 270)(86, 271)(87, 250)(88, 201)(89, 260)(90, 220)(91, 275)(92, 205)(93, 265)(94, 308)(95, 258)(96, 208)(97, 312)(98, 306)(99, 288)(100, 210)(101, 226)(102, 295)(103, 303)(104, 212)(105, 235)(106, 278)(107, 216)(108, 302)(109, 219)(110, 319)(111, 279)(112, 305)(113, 280)(114, 284)(115, 293)(116, 230)(117, 289)(118, 253)(119, 282)(120, 232)(121, 272)(122, 307)(123, 274)(124, 234)(125, 267)(126, 315)(127, 273)(128, 236)(129, 323)(130, 297)(131, 241)(132, 309)(133, 301)(134, 311)(135, 298)(136, 292)(137, 300)(138, 245)(139, 264)(140, 247)(141, 255)(142, 296)(143, 285)(144, 251)(145, 276)(146, 310)(147, 320)(148, 256)(149, 304)(150, 313)(151, 259)(152, 317)(153, 261)(154, 324)(155, 322)(156, 291)(157, 283)(158, 294)(159, 316)(160, 314)(161, 318)(162, 321)(325, 489)(326, 493)(327, 492)(328, 500)(329, 503)(330, 487)(331, 495)(332, 513)(333, 488)(334, 519)(335, 512)(336, 525)(337, 528)(338, 502)(339, 517)(340, 490)(341, 505)(342, 540)(343, 491)(344, 544)(345, 547)(346, 549)(347, 508)(348, 539)(349, 532)(350, 524)(351, 515)(352, 543)(353, 494)(354, 529)(355, 535)(356, 564)(357, 521)(358, 565)(359, 496)(360, 504)(361, 569)(362, 497)(363, 527)(364, 575)(365, 498)(366, 530)(367, 561)(368, 499)(369, 550)(370, 553)(371, 583)(372, 585)(373, 501)(374, 589)(375, 518)(376, 556)(377, 551)(378, 522)(379, 507)(380, 554)(381, 559)(382, 545)(383, 506)(384, 526)(385, 541)(386, 596)(387, 509)(388, 580)(389, 510)(390, 600)(391, 511)(392, 594)(393, 591)(394, 592)(395, 607)(396, 609)(397, 514)(398, 613)(399, 516)(400, 552)(401, 615)(402, 537)(403, 567)(404, 577)(405, 520)(406, 571)(407, 572)(408, 625)(409, 622)(410, 523)(411, 570)(412, 618)(413, 546)(414, 598)(415, 620)(416, 588)(417, 602)(418, 531)(419, 534)(420, 633)(421, 584)(422, 533)(423, 581)(424, 536)(425, 601)(426, 621)(427, 586)(428, 597)(429, 604)(430, 538)(431, 642)(432, 542)(433, 636)(434, 599)(435, 641)(436, 603)(437, 548)(438, 562)(439, 628)(440, 612)(441, 576)(442, 555)(443, 558)(444, 644)(445, 608)(446, 557)(447, 605)(448, 560)(449, 632)(450, 579)(451, 610)(452, 616)(453, 617)(454, 646)(455, 563)(456, 629)(457, 582)(458, 566)(459, 578)(460, 568)(461, 593)(462, 648)(463, 573)(464, 627)(465, 638)(466, 587)(467, 574)(468, 640)(469, 645)(470, 635)(471, 619)(472, 595)(473, 611)(474, 634)(475, 624)(476, 626)(477, 606)(478, 643)(479, 590)(480, 623)(481, 630)(482, 639)(483, 647)(484, 614)(485, 631)(486, 637)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.2688
Transitivity :: VT+
Graph:: simple
	v = 81 e = 324 f = 189
	degree seq :: [ 8^81 ]

E28.2697 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 14>)
Aut   = C2 x (((C9 x C3) : C3) : C2) (small group id <324, 72>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, Y1^2 * Y2^-1, Y2^3, (R * Y3)^2, R * Y2 * R * Y1, Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 163, 325, 487, 4, 166, 328, 490)(2, 164, 326, 488, 5, 167, 329, 491)(3, 165, 327, 489, 6, 168, 330, 492)(7, 169, 331, 493, 13, 175, 337, 499)(8, 170, 332, 494, 14, 176, 338, 500)(9, 171, 333, 495, 15, 177, 339, 501)(10, 172, 334, 496, 16, 178, 340, 502)(11, 173, 335, 497, 17, 179, 341, 503)(12, 174, 336, 498, 18, 180, 342, 504)(19, 181, 343, 505, 31, 193, 355, 517)(20, 182, 344, 506, 32, 194, 356, 518)(21, 183, 345, 507, 33, 195, 357, 519)(22, 184, 346, 508, 34, 196, 358, 520)(23, 185, 347, 509, 35, 197, 359, 521)(24, 186, 348, 510, 36, 198, 360, 522)(25, 187, 349, 511, 37, 199, 361, 523)(26, 188, 350, 512, 38, 200, 362, 524)(27, 189, 351, 513, 39, 201, 363, 525)(28, 190, 352, 514, 40, 202, 364, 526)(29, 191, 353, 515, 41, 203, 365, 527)(30, 192, 354, 516, 42, 204, 366, 528)(43, 205, 367, 529, 58, 220, 382, 544)(44, 206, 368, 530, 59, 221, 383, 545)(45, 207, 369, 531, 60, 222, 384, 546)(46, 208, 370, 532, 61, 223, 385, 547)(47, 209, 371, 533, 62, 224, 386, 548)(48, 210, 372, 534, 63, 225, 387, 549)(49, 211, 373, 535, 64, 226, 388, 550)(50, 212, 374, 536, 65, 227, 389, 551)(51, 213, 375, 537, 66, 228, 390, 552)(52, 214, 376, 538, 67, 229, 391, 553)(53, 215, 377, 539, 68, 230, 392, 554)(54, 216, 378, 540, 69, 231, 393, 555)(55, 217, 379, 541, 70, 232, 394, 556)(56, 218, 380, 542, 71, 233, 395, 557)(57, 219, 381, 543, 72, 234, 396, 558)(73, 235, 397, 559, 94, 256, 418, 580)(74, 236, 398, 560, 95, 257, 419, 581)(75, 237, 399, 561, 96, 258, 420, 582)(76, 238, 400, 562, 97, 259, 421, 583)(77, 239, 401, 563, 98, 260, 422, 584)(78, 240, 402, 564, 99, 261, 423, 585)(79, 241, 403, 565, 100, 262, 424, 586)(80, 242, 404, 566, 101, 263, 425, 587)(81, 243, 405, 567, 102, 264, 426, 588)(82, 244, 406, 568, 103, 265, 427, 589)(83, 245, 407, 569, 104, 266, 428, 590)(84, 246, 408, 570, 105, 267, 429, 591)(85, 247, 409, 571, 106, 268, 430, 592)(86, 248, 410, 572, 107, 269, 431, 593)(87, 249, 411, 573, 108, 270, 432, 594)(88, 250, 412, 574, 109, 271, 433, 595)(89, 251, 413, 575, 110, 272, 434, 596)(90, 252, 414, 576, 111, 273, 435, 597)(91, 253, 415, 577, 112, 274, 436, 598)(92, 254, 416, 578, 113, 275, 437, 599)(93, 255, 417, 579, 114, 276, 438, 600)(115, 277, 439, 601, 139, 301, 463, 625)(116, 278, 440, 602, 140, 302, 464, 626)(117, 279, 441, 603, 141, 303, 465, 627)(118, 280, 442, 604, 142, 304, 466, 628)(119, 281, 443, 605, 143, 305, 467, 629)(120, 282, 444, 606, 144, 306, 468, 630)(121, 283, 445, 607, 145, 307, 469, 631)(122, 284, 446, 608, 146, 308, 470, 632)(123, 285, 447, 609, 147, 309, 471, 633)(124, 286, 448, 610, 148, 310, 472, 634)(125, 287, 449, 611, 149, 311, 473, 635)(126, 288, 450, 612, 150, 312, 474, 636)(127, 289, 451, 613, 151, 313, 475, 637)(128, 290, 452, 614, 152, 314, 476, 638)(129, 291, 453, 615, 153, 315, 477, 639)(130, 292, 454, 616, 154, 316, 478, 640)(131, 293, 455, 617, 155, 317, 479, 641)(132, 294, 456, 618, 156, 318, 480, 642)(133, 295, 457, 619, 157, 319, 481, 643)(134, 296, 458, 620, 158, 320, 482, 644)(135, 297, 459, 621, 159, 321, 483, 645)(136, 298, 460, 622, 160, 322, 484, 646)(137, 299, 461, 623, 161, 323, 485, 647)(138, 300, 462, 624, 162, 324, 486, 648)
	L = (1, 164)(2, 165)(3, 163)(4, 169)(5, 171)(6, 173)(7, 170)(8, 166)(9, 172)(10, 167)(11, 174)(12, 168)(13, 181)(14, 183)(15, 185)(16, 187)(17, 189)(18, 191)(19, 182)(20, 175)(21, 184)(22, 176)(23, 186)(24, 177)(25, 188)(26, 178)(27, 190)(28, 179)(29, 192)(30, 180)(31, 205)(32, 199)(33, 208)(34, 209)(35, 211)(36, 203)(37, 207)(38, 214)(39, 216)(40, 195)(41, 213)(42, 218)(43, 206)(44, 193)(45, 194)(46, 202)(47, 210)(48, 196)(49, 212)(50, 197)(51, 198)(52, 215)(53, 200)(54, 217)(55, 201)(56, 219)(57, 204)(58, 235)(59, 224)(60, 238)(61, 240)(62, 237)(63, 242)(64, 244)(65, 229)(66, 247)(67, 246)(68, 249)(69, 251)(70, 233)(71, 253)(72, 254)(73, 236)(74, 220)(75, 221)(76, 239)(77, 222)(78, 241)(79, 223)(80, 243)(81, 225)(82, 245)(83, 226)(84, 227)(85, 248)(86, 228)(87, 250)(88, 230)(89, 252)(90, 231)(91, 232)(92, 255)(93, 234)(94, 277)(95, 259)(96, 280)(97, 279)(98, 270)(99, 283)(100, 263)(101, 284)(102, 285)(103, 287)(104, 268)(105, 290)(106, 289)(107, 275)(108, 282)(109, 293)(110, 295)(111, 261)(112, 297)(113, 292)(114, 299)(115, 278)(116, 256)(117, 257)(118, 281)(119, 258)(120, 260)(121, 273)(122, 262)(123, 286)(124, 264)(125, 288)(126, 265)(127, 266)(128, 291)(129, 267)(130, 269)(131, 294)(132, 271)(133, 296)(134, 272)(135, 298)(136, 274)(137, 300)(138, 276)(139, 311)(140, 304)(141, 320)(142, 313)(143, 309)(144, 322)(145, 312)(146, 315)(147, 316)(148, 318)(149, 319)(150, 314)(151, 302)(152, 307)(153, 317)(154, 305)(155, 308)(156, 324)(157, 301)(158, 321)(159, 303)(160, 323)(161, 306)(162, 310)(325, 489)(326, 487)(327, 488)(328, 494)(329, 496)(330, 498)(331, 490)(332, 493)(333, 491)(334, 495)(335, 492)(336, 497)(337, 506)(338, 508)(339, 510)(340, 512)(341, 514)(342, 516)(343, 499)(344, 505)(345, 500)(346, 507)(347, 501)(348, 509)(349, 502)(350, 511)(351, 503)(352, 513)(353, 504)(354, 515)(355, 530)(356, 531)(357, 526)(358, 534)(359, 536)(360, 537)(361, 518)(362, 539)(363, 541)(364, 532)(365, 522)(366, 543)(367, 517)(368, 529)(369, 523)(370, 519)(371, 520)(372, 533)(373, 521)(374, 535)(375, 527)(376, 524)(377, 538)(378, 525)(379, 540)(380, 528)(381, 542)(382, 560)(383, 561)(384, 563)(385, 565)(386, 545)(387, 567)(388, 569)(389, 570)(390, 572)(391, 551)(392, 574)(393, 576)(394, 577)(395, 556)(396, 579)(397, 544)(398, 559)(399, 548)(400, 546)(401, 562)(402, 547)(403, 564)(404, 549)(405, 566)(406, 550)(407, 568)(408, 553)(409, 552)(410, 571)(411, 554)(412, 573)(413, 555)(414, 575)(415, 557)(416, 558)(417, 578)(418, 602)(419, 603)(420, 605)(421, 581)(422, 606)(423, 597)(424, 608)(425, 586)(426, 610)(427, 612)(428, 613)(429, 615)(430, 590)(431, 616)(432, 584)(433, 618)(434, 620)(435, 607)(436, 622)(437, 593)(438, 624)(439, 580)(440, 601)(441, 583)(442, 582)(443, 604)(444, 594)(445, 585)(446, 587)(447, 588)(448, 609)(449, 589)(450, 611)(451, 592)(452, 591)(453, 614)(454, 599)(455, 595)(456, 617)(457, 596)(458, 619)(459, 598)(460, 621)(461, 600)(462, 623)(463, 643)(464, 637)(465, 645)(466, 626)(467, 640)(468, 647)(469, 638)(470, 641)(471, 629)(472, 648)(473, 625)(474, 631)(475, 628)(476, 636)(477, 632)(478, 633)(479, 639)(480, 634)(481, 635)(482, 627)(483, 644)(484, 630)(485, 646)(486, 642)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.2689
Transitivity :: VT+
Graph::
	v = 81 e = 324 f = 189
	degree seq :: [ 8^81 ]

E28.2698 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 15>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3 * Y2, Y3^-1 * Y2 * Y3 * Y2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y1 * Y3)^3, Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 163, 2, 164)(3, 165, 9, 171)(4, 166, 12, 174)(5, 167, 13, 175)(6, 168, 14, 176)(7, 169, 17, 179)(8, 170, 18, 180)(10, 172, 22, 184)(11, 173, 23, 185)(15, 177, 31, 193)(16, 178, 32, 194)(19, 181, 37, 199)(20, 182, 40, 202)(21, 183, 41, 203)(24, 186, 46, 208)(25, 187, 45, 207)(26, 188, 47, 209)(27, 189, 43, 205)(28, 190, 48, 210)(29, 191, 51, 213)(30, 192, 52, 214)(33, 195, 57, 219)(34, 196, 56, 218)(35, 197, 58, 220)(36, 198, 54, 216)(38, 200, 62, 224)(39, 201, 63, 225)(42, 204, 68, 230)(44, 206, 69, 231)(49, 211, 79, 241)(50, 212, 80, 242)(53, 215, 85, 247)(55, 217, 86, 248)(59, 221, 93, 255)(60, 222, 96, 258)(61, 223, 97, 259)(64, 226, 92, 254)(65, 227, 101, 263)(66, 228, 88, 250)(67, 229, 99, 261)(70, 232, 108, 270)(71, 233, 83, 245)(72, 234, 91, 253)(73, 235, 111, 273)(74, 236, 89, 251)(75, 237, 81, 243)(76, 238, 114, 276)(77, 239, 117, 279)(78, 240, 118, 280)(82, 244, 122, 284)(84, 246, 120, 282)(87, 249, 129, 291)(90, 252, 132, 294)(94, 256, 123, 285)(95, 257, 126, 288)(98, 260, 119, 281)(100, 262, 121, 283)(102, 264, 115, 277)(103, 265, 140, 302)(104, 266, 131, 293)(105, 267, 116, 278)(106, 268, 133, 295)(107, 269, 138, 300)(109, 271, 146, 308)(110, 272, 125, 287)(112, 274, 127, 289)(113, 275, 147, 309)(124, 286, 153, 315)(128, 290, 151, 313)(130, 292, 159, 321)(134, 296, 160, 322)(135, 297, 161, 323)(136, 298, 158, 320)(137, 299, 155, 317)(139, 301, 157, 319)(141, 303, 156, 318)(142, 304, 150, 312)(143, 305, 154, 316)(144, 306, 152, 314)(145, 307, 149, 311)(148, 310, 162, 324)(325, 487, 327, 489)(326, 488, 330, 492)(328, 490, 334, 496)(329, 491, 335, 497)(331, 493, 339, 501)(332, 494, 340, 502)(333, 495, 343, 505)(336, 498, 348, 510)(337, 499, 350, 512)(338, 500, 352, 514)(341, 503, 357, 519)(342, 504, 359, 521)(344, 506, 362, 524)(345, 507, 363, 525)(346, 508, 366, 528)(347, 509, 368, 530)(349, 511, 360, 522)(351, 513, 358, 520)(353, 515, 373, 535)(354, 516, 374, 536)(355, 517, 377, 539)(356, 518, 379, 541)(361, 523, 383, 545)(364, 526, 388, 550)(365, 527, 390, 552)(367, 529, 391, 553)(369, 531, 389, 551)(370, 532, 394, 556)(371, 533, 397, 559)(372, 534, 400, 562)(375, 537, 405, 567)(376, 538, 407, 569)(378, 540, 408, 570)(380, 542, 406, 568)(381, 543, 411, 573)(382, 544, 414, 576)(384, 546, 418, 580)(385, 547, 419, 581)(386, 548, 422, 584)(387, 549, 424, 586)(392, 554, 426, 588)(393, 555, 429, 591)(395, 557, 433, 595)(396, 558, 434, 596)(398, 560, 436, 598)(399, 561, 437, 599)(401, 563, 439, 601)(402, 564, 440, 602)(403, 565, 443, 605)(404, 566, 445, 607)(409, 571, 447, 609)(410, 572, 450, 612)(412, 574, 454, 616)(413, 575, 455, 617)(415, 577, 457, 619)(416, 578, 458, 620)(417, 579, 459, 621)(420, 582, 462, 624)(421, 583, 464, 626)(423, 585, 465, 627)(425, 587, 463, 625)(427, 589, 466, 628)(428, 590, 467, 629)(430, 592, 468, 630)(431, 593, 469, 631)(432, 594, 460, 622)(435, 597, 461, 623)(438, 600, 472, 634)(441, 603, 475, 637)(442, 604, 477, 639)(444, 606, 478, 640)(446, 608, 476, 638)(448, 610, 479, 641)(449, 611, 480, 642)(451, 613, 481, 643)(452, 614, 482, 644)(453, 615, 473, 635)(456, 618, 474, 636)(470, 632, 483, 645)(471, 633, 484, 646)(485, 647, 486, 648)
	L = (1, 328)(2, 331)(3, 334)(4, 335)(5, 325)(6, 339)(7, 340)(8, 326)(9, 344)(10, 329)(11, 327)(12, 342)(13, 351)(14, 353)(15, 332)(16, 330)(17, 337)(18, 360)(19, 362)(20, 363)(21, 333)(22, 365)(23, 369)(24, 359)(25, 336)(26, 358)(27, 357)(28, 373)(29, 374)(30, 338)(31, 376)(32, 380)(33, 350)(34, 341)(35, 349)(36, 348)(37, 384)(38, 345)(39, 343)(40, 347)(41, 391)(42, 390)(43, 346)(44, 389)(45, 388)(46, 395)(47, 398)(48, 401)(49, 354)(50, 352)(51, 356)(52, 408)(53, 407)(54, 355)(55, 406)(56, 405)(57, 412)(58, 415)(59, 418)(60, 419)(61, 361)(62, 421)(63, 425)(64, 368)(65, 364)(66, 367)(67, 366)(68, 427)(69, 430)(70, 433)(71, 434)(72, 370)(73, 436)(74, 437)(75, 371)(76, 439)(77, 440)(78, 372)(79, 442)(80, 446)(81, 379)(82, 375)(83, 378)(84, 377)(85, 448)(86, 451)(87, 454)(88, 455)(89, 381)(90, 457)(91, 458)(92, 382)(93, 460)(94, 385)(95, 383)(96, 387)(97, 465)(98, 464)(99, 386)(100, 463)(101, 462)(102, 466)(103, 467)(104, 392)(105, 468)(106, 469)(107, 393)(108, 461)(109, 396)(110, 394)(111, 459)(112, 399)(113, 397)(114, 473)(115, 402)(116, 400)(117, 404)(118, 478)(119, 477)(120, 403)(121, 476)(122, 475)(123, 479)(124, 480)(125, 409)(126, 481)(127, 482)(128, 410)(129, 474)(130, 413)(131, 411)(132, 472)(133, 416)(134, 414)(135, 432)(136, 435)(137, 417)(138, 424)(139, 420)(140, 423)(141, 422)(142, 428)(143, 426)(144, 431)(145, 429)(146, 485)(147, 483)(148, 453)(149, 456)(150, 438)(151, 445)(152, 441)(153, 444)(154, 443)(155, 449)(156, 447)(157, 452)(158, 450)(159, 486)(160, 470)(161, 471)(162, 484)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 6^4 ) }
Outer automorphisms :: reflexible
Dual of E28.2713
Graph:: simple bipartite
	v = 162 e = 324 f = 108
	degree seq :: [ 4^162 ]

E28.2699 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 15>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y3 * Y2 * Y3^-1 * Y1, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^3, (Y3 * Y2^-1)^3, Y2 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1, Y3^-1 * Y2^-1 * Y3^2 * Y1 * Y2 * Y3 * Y1, (Y3^-1 * Y2^-1 * Y1 * Y2)^2, Y3^9 ]
Map:: polytopal non-degenerate
	R = (1, 163, 2, 164)(3, 165, 11, 173)(4, 166, 10, 172)(5, 167, 17, 179)(6, 168, 8, 170)(7, 169, 23, 185)(9, 171, 29, 191)(12, 174, 37, 199)(13, 175, 26, 188)(14, 176, 25, 187)(15, 177, 34, 196)(16, 178, 31, 193)(18, 180, 50, 212)(19, 181, 28, 190)(20, 182, 56, 218)(21, 183, 58, 220)(22, 184, 27, 189)(24, 186, 65, 227)(30, 192, 78, 240)(32, 194, 84, 246)(33, 195, 86, 248)(35, 197, 91, 253)(36, 198, 93, 255)(38, 200, 75, 237)(39, 201, 88, 250)(40, 202, 70, 232)(41, 203, 83, 245)(42, 204, 68, 230)(43, 205, 72, 234)(44, 206, 71, 233)(45, 207, 81, 243)(46, 208, 90, 252)(47, 209, 66, 228)(48, 210, 107, 269)(49, 211, 109, 271)(51, 213, 82, 244)(52, 214, 89, 251)(53, 215, 73, 235)(54, 216, 79, 241)(55, 217, 69, 231)(57, 219, 85, 247)(59, 221, 87, 249)(60, 222, 67, 229)(61, 223, 80, 242)(62, 224, 74, 236)(63, 225, 123, 285)(64, 226, 124, 286)(76, 238, 137, 299)(77, 239, 139, 301)(92, 254, 152, 314)(94, 256, 127, 289)(95, 257, 154, 316)(96, 258, 125, 287)(97, 259, 118, 280)(98, 260, 149, 311)(99, 261, 132, 294)(100, 262, 145, 307)(101, 263, 153, 315)(102, 264, 130, 292)(103, 265, 134, 296)(104, 266, 133, 295)(105, 267, 150, 312)(106, 268, 147, 309)(108, 270, 140, 302)(110, 272, 157, 319)(111, 273, 138, 300)(112, 274, 156, 318)(113, 275, 144, 306)(114, 276, 120, 282)(115, 277, 142, 304)(116, 278, 158, 320)(117, 279, 131, 293)(119, 281, 136, 298)(121, 283, 129, 291)(122, 284, 135, 297)(126, 288, 160, 322)(128, 290, 146, 308)(141, 303, 162, 324)(143, 305, 148, 310)(151, 313, 161, 323)(155, 317, 159, 321)(325, 487, 327, 489, 329, 491)(326, 488, 331, 493, 333, 495)(328, 490, 338, 500, 340, 502)(330, 492, 344, 506, 345, 507)(332, 494, 350, 512, 352, 514)(334, 496, 356, 518, 357, 519)(335, 497, 359, 521, 360, 522)(336, 498, 362, 524, 364, 526)(337, 499, 365, 527, 366, 528)(339, 501, 369, 531, 371, 533)(341, 503, 372, 534, 373, 535)(342, 504, 375, 537, 377, 539)(343, 505, 378, 540, 368, 530)(346, 508, 384, 546, 385, 547)(347, 509, 387, 549, 388, 550)(348, 510, 390, 552, 392, 554)(349, 511, 393, 555, 394, 556)(351, 513, 397, 559, 399, 561)(353, 515, 400, 562, 401, 563)(354, 516, 403, 565, 405, 567)(355, 517, 406, 568, 396, 558)(358, 520, 412, 574, 413, 575)(361, 523, 419, 581, 420, 582)(363, 525, 421, 583, 423, 585)(367, 529, 425, 587, 426, 588)(370, 532, 422, 584, 430, 592)(374, 536, 435, 597, 436, 598)(376, 538, 437, 599, 438, 600)(379, 541, 439, 601, 440, 602)(380, 542, 442, 604, 418, 580)(381, 543, 443, 605, 417, 579)(382, 544, 432, 594, 444, 606)(383, 545, 431, 593, 445, 607)(386, 548, 427, 589, 441, 603)(389, 551, 450, 612, 451, 613)(391, 553, 452, 614, 454, 616)(395, 557, 416, 578, 456, 618)(398, 560, 453, 615, 460, 622)(402, 564, 464, 626, 465, 627)(404, 566, 466, 628, 467, 629)(407, 569, 468, 630, 434, 596)(408, 570, 470, 632, 449, 611)(409, 571, 471, 633, 448, 610)(410, 572, 462, 624, 472, 634)(411, 573, 461, 623, 473, 635)(414, 576, 457, 619, 469, 631)(415, 577, 475, 637, 428, 590)(424, 586, 479, 641, 433, 595)(429, 591, 480, 642, 478, 640)(446, 608, 481, 643, 476, 638)(447, 609, 483, 645, 458, 620)(455, 617, 485, 647, 463, 625)(459, 621, 486, 648, 484, 646)(474, 636, 482, 644, 477, 639)
	L = (1, 328)(2, 332)(3, 336)(4, 339)(5, 342)(6, 325)(7, 348)(8, 351)(9, 354)(10, 326)(11, 350)(12, 363)(13, 327)(14, 368)(15, 370)(16, 365)(17, 352)(18, 376)(19, 329)(20, 381)(21, 383)(22, 330)(23, 338)(24, 391)(25, 331)(26, 396)(27, 398)(28, 393)(29, 340)(30, 404)(31, 333)(32, 409)(33, 411)(34, 334)(35, 416)(36, 418)(37, 335)(38, 345)(39, 422)(40, 378)(41, 424)(42, 388)(43, 337)(44, 428)(45, 401)(46, 429)(47, 387)(48, 432)(49, 434)(50, 341)(51, 366)(52, 430)(53, 344)(54, 400)(55, 343)(56, 397)(57, 408)(58, 399)(59, 410)(60, 389)(61, 402)(62, 346)(63, 425)(64, 449)(65, 347)(66, 357)(67, 453)(68, 406)(69, 455)(70, 360)(71, 349)(72, 458)(73, 373)(74, 459)(75, 359)(76, 462)(77, 440)(78, 353)(79, 394)(80, 460)(81, 356)(82, 372)(83, 355)(84, 369)(85, 380)(86, 371)(87, 382)(88, 361)(89, 374)(90, 358)(91, 362)(92, 477)(93, 364)(94, 454)(95, 469)(96, 448)(97, 443)(98, 472)(99, 475)(100, 478)(101, 476)(102, 451)(103, 367)(104, 480)(105, 446)(106, 470)(107, 375)(108, 466)(109, 377)(110, 482)(111, 461)(112, 457)(113, 479)(114, 445)(115, 464)(116, 481)(117, 379)(118, 419)(119, 385)(120, 436)(121, 384)(122, 386)(123, 390)(124, 392)(125, 423)(126, 441)(127, 417)(128, 471)(129, 444)(130, 483)(131, 484)(132, 420)(133, 395)(134, 486)(135, 474)(136, 442)(137, 403)(138, 437)(139, 405)(140, 431)(141, 427)(142, 485)(143, 473)(144, 435)(145, 407)(146, 450)(147, 413)(148, 465)(149, 412)(150, 414)(151, 439)(152, 415)(153, 447)(154, 421)(155, 426)(156, 438)(157, 433)(158, 463)(159, 468)(160, 452)(161, 456)(162, 467)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2707
Graph:: simple bipartite
	v = 135 e = 324 f = 135
	degree seq :: [ 4^81, 6^54 ]

E28.2700 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 15>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, (Y1 * Y3)^2, (Y3 * Y2^-1)^3, (Y3^-1 * Y2^-1)^3, (Y3^-1 * R * Y2^-1)^2, Y2 * Y1 * Y3^-2 * Y2^-1 * Y3^-1 * Y1, Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y2, Y3^-3 * Y2 * Y3^3 * Y2^-1, (Y2 * Y3^-1 * Y2^-1 * Y1)^2, (R * Y2 * Y1 * Y2^-1)^2, (Y2^-1 * Y3^-1 * Y2 * Y1)^2 ]
Map:: polyhedral non-degenerate
	R = (1, 163, 2, 164)(3, 165, 11, 173)(4, 166, 10, 172)(5, 167, 17, 179)(6, 168, 8, 170)(7, 169, 23, 185)(9, 171, 29, 191)(12, 174, 38, 200)(13, 175, 36, 198)(14, 176, 45, 207)(15, 177, 34, 196)(16, 178, 51, 213)(18, 180, 56, 218)(19, 181, 54, 216)(20, 182, 62, 224)(21, 183, 64, 226)(22, 184, 27, 189)(24, 186, 46, 208)(25, 187, 70, 232)(26, 188, 40, 202)(28, 190, 80, 242)(30, 192, 83, 245)(31, 193, 67, 229)(32, 194, 89, 251)(33, 195, 39, 201)(35, 197, 65, 227)(37, 199, 97, 259)(41, 203, 74, 236)(42, 204, 102, 264)(43, 205, 72, 234)(44, 206, 95, 257)(47, 209, 108, 270)(48, 210, 111, 273)(49, 211, 92, 254)(50, 212, 116, 278)(52, 214, 119, 281)(53, 215, 104, 266)(55, 217, 112, 274)(57, 219, 87, 249)(58, 220, 94, 256)(59, 221, 127, 289)(60, 222, 84, 246)(61, 223, 123, 285)(63, 225, 131, 293)(66, 228, 133, 295)(68, 230, 78, 240)(69, 231, 90, 252)(71, 233, 137, 299)(73, 235, 138, 300)(75, 237, 126, 288)(76, 238, 100, 262)(77, 239, 113, 275)(79, 241, 105, 267)(81, 243, 130, 292)(82, 244, 140, 302)(85, 247, 136, 298)(86, 248, 150, 312)(88, 250, 122, 284)(91, 253, 153, 315)(93, 255, 117, 279)(96, 258, 134, 296)(98, 260, 125, 287)(99, 261, 106, 268)(101, 263, 141, 303)(103, 265, 144, 306)(107, 269, 152, 314)(109, 271, 143, 305)(110, 272, 159, 321)(114, 276, 154, 316)(115, 277, 139, 301)(118, 280, 158, 320)(120, 282, 157, 319)(121, 283, 148, 310)(124, 286, 147, 309)(128, 290, 151, 313)(129, 291, 149, 311)(132, 294, 142, 304)(135, 297, 145, 307)(146, 308, 156, 318)(155, 317, 160, 322)(161, 323, 162, 324)(325, 487, 327, 489, 329, 491)(326, 488, 331, 493, 333, 495)(328, 490, 338, 500, 340, 502)(330, 492, 344, 506, 345, 507)(332, 494, 350, 512, 352, 514)(334, 496, 356, 518, 357, 519)(335, 497, 359, 521, 361, 523)(336, 498, 363, 525, 365, 527)(337, 499, 366, 528, 367, 529)(339, 501, 372, 534, 374, 536)(341, 503, 377, 539, 379, 541)(342, 504, 381, 543, 383, 545)(343, 505, 384, 546, 370, 532)(346, 508, 390, 552, 391, 553)(347, 509, 393, 555, 395, 557)(348, 510, 388, 550, 396, 558)(349, 511, 397, 559, 398, 560)(351, 513, 401, 563, 403, 565)(353, 515, 406, 568, 387, 549)(354, 516, 408, 570, 410, 572)(355, 517, 411, 573, 362, 524)(358, 520, 415, 577, 378, 540)(360, 522, 418, 580, 420, 582)(364, 526, 407, 569, 425, 587)(368, 530, 429, 591, 430, 592)(369, 531, 380, 542, 423, 585)(371, 533, 433, 595, 428, 590)(373, 535, 424, 586, 439, 601)(375, 537, 442, 604, 444, 606)(376, 538, 445, 607, 436, 598)(382, 544, 449, 611, 450, 612)(385, 547, 453, 615, 413, 575)(386, 548, 412, 574, 422, 584)(389, 551, 448, 610, 456, 618)(392, 554, 431, 593, 454, 616)(394, 556, 460, 622, 438, 600)(399, 561, 440, 602, 465, 627)(400, 562, 467, 629, 464, 626)(402, 564, 432, 594, 468, 630)(404, 566, 470, 632, 434, 596)(405, 567, 471, 633, 455, 617)(409, 571, 473, 635, 419, 581)(414, 576, 472, 634, 476, 638)(416, 578, 466, 628, 443, 605)(417, 579, 478, 640, 451, 613)(421, 583, 452, 614, 427, 589)(426, 588, 480, 642, 435, 597)(437, 599, 462, 624, 482, 644)(441, 603, 484, 646, 481, 643)(446, 608, 485, 647, 477, 639)(447, 609, 479, 641, 457, 619)(458, 620, 474, 636, 459, 621)(461, 623, 475, 637, 463, 625)(469, 631, 486, 648, 483, 645)
	L = (1, 328)(2, 332)(3, 336)(4, 339)(5, 342)(6, 325)(7, 348)(8, 351)(9, 354)(10, 326)(11, 360)(12, 364)(13, 327)(14, 370)(15, 373)(16, 366)(17, 378)(18, 382)(19, 329)(20, 387)(21, 389)(22, 330)(23, 394)(24, 369)(25, 331)(26, 362)(27, 402)(28, 397)(29, 391)(30, 409)(31, 333)(32, 379)(33, 414)(34, 334)(35, 388)(36, 419)(37, 422)(38, 335)(39, 345)(40, 424)(41, 384)(42, 427)(43, 428)(44, 337)(45, 432)(46, 347)(47, 338)(48, 436)(49, 438)(50, 433)(51, 443)(52, 340)(53, 396)(54, 447)(55, 435)(56, 341)(57, 367)(58, 439)(59, 344)(60, 445)(61, 343)(62, 451)(63, 437)(64, 357)(65, 441)(66, 434)(67, 446)(68, 346)(69, 363)(70, 450)(71, 453)(72, 411)(73, 463)(74, 464)(75, 349)(76, 350)(77, 455)(78, 420)(79, 467)(80, 454)(81, 352)(82, 365)(83, 353)(84, 398)(85, 468)(86, 356)(87, 471)(88, 355)(89, 474)(90, 469)(91, 444)(92, 358)(93, 359)(94, 380)(95, 476)(96, 478)(97, 430)(98, 479)(99, 361)(100, 481)(101, 395)(102, 375)(103, 460)(104, 482)(105, 459)(106, 470)(107, 368)(108, 483)(109, 429)(110, 371)(111, 401)(112, 413)(113, 372)(114, 458)(115, 462)(116, 417)(117, 374)(118, 377)(119, 412)(120, 400)(121, 484)(122, 376)(123, 405)(124, 381)(125, 421)(126, 456)(127, 475)(128, 383)(129, 485)(130, 385)(131, 386)(132, 390)(133, 466)(134, 392)(135, 393)(136, 407)(137, 465)(138, 404)(139, 418)(140, 480)(141, 442)(142, 399)(143, 440)(144, 426)(145, 403)(146, 406)(147, 486)(148, 408)(149, 461)(150, 452)(151, 410)(152, 415)(153, 431)(154, 416)(155, 472)(156, 423)(157, 477)(158, 425)(159, 457)(160, 449)(161, 448)(162, 473)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2709
Graph:: simple bipartite
	v = 135 e = 324 f = 135
	degree seq :: [ 4^81, 6^54 ]

E28.2701 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 15>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3^-1 * Y1)^2, (Y1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2 * R)^2, (Y3 * Y2^-1)^3, (Y3^-1 * Y2^-1)^3, Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y1, Y1 * Y3 * Y2^-1 * Y3 * Y1 * Y3^-1 * Y2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y3, (Y3^-1, Y2^-1, Y3), (Y2 * R * Y2^-1 * Y1)^2, Y3^2 * Y2 * Y3^-3 * Y2^-1 * Y3, (Y3 * Y2 * Y1 * Y2^-1)^2, (Y2 * Y3 * Y2^-1 * Y1)^2, R * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * R * Y2^-1, R * Y1 * Y3 * Y2 * Y1 * Y2 * R * Y3^-1 * Y2^-1, Y3 * R * Y2 * Y3 * Y1 * Y2^-1 * R * Y2^-1 * Y1 * Y2 ]
Map:: polyhedral non-degenerate
	R = (1, 163, 2, 164)(3, 165, 11, 173)(4, 166, 10, 172)(5, 167, 17, 179)(6, 168, 8, 170)(7, 169, 23, 185)(9, 171, 29, 191)(12, 174, 38, 200)(13, 175, 36, 198)(14, 176, 45, 207)(15, 177, 34, 196)(16, 178, 51, 213)(18, 180, 56, 218)(19, 181, 54, 216)(20, 182, 62, 224)(21, 183, 64, 226)(22, 184, 27, 189)(24, 186, 70, 232)(25, 187, 66, 228)(26, 188, 76, 238)(28, 190, 58, 220)(30, 192, 42, 204)(31, 193, 84, 246)(32, 194, 59, 221)(33, 195, 90, 252)(35, 197, 93, 255)(37, 199, 96, 258)(39, 201, 100, 262)(40, 202, 99, 261)(41, 203, 74, 236)(43, 205, 73, 235)(44, 206, 95, 257)(46, 208, 111, 273)(47, 209, 110, 272)(48, 210, 114, 276)(49, 211, 92, 254)(50, 212, 94, 256)(52, 214, 120, 282)(53, 215, 122, 284)(55, 217, 63, 225)(57, 219, 87, 249)(60, 222, 86, 248)(61, 223, 125, 287)(65, 227, 132, 294)(67, 229, 133, 295)(68, 230, 80, 242)(69, 231, 135, 297)(71, 233, 138, 300)(72, 234, 137, 299)(75, 237, 113, 275)(77, 239, 144, 306)(78, 240, 108, 270)(79, 241, 129, 291)(81, 243, 119, 281)(82, 244, 118, 280)(83, 245, 148, 310)(85, 247, 89, 251)(88, 250, 102, 264)(91, 253, 153, 315)(97, 259, 157, 319)(98, 260, 128, 290)(101, 263, 139, 301)(103, 265, 145, 307)(104, 266, 123, 285)(105, 267, 143, 305)(106, 268, 142, 304)(107, 269, 141, 303)(109, 271, 160, 322)(112, 274, 140, 302)(115, 277, 146, 308)(116, 278, 126, 288)(117, 279, 154, 316)(121, 283, 161, 323)(124, 286, 134, 296)(127, 289, 150, 312)(130, 292, 152, 314)(131, 293, 151, 313)(136, 298, 155, 317)(147, 309, 149, 311)(156, 318, 158, 320)(159, 321, 162, 324)(325, 487, 327, 489, 329, 491)(326, 488, 331, 493, 333, 495)(328, 490, 338, 500, 340, 502)(330, 492, 344, 506, 345, 507)(332, 494, 350, 512, 352, 514)(334, 496, 356, 518, 357, 519)(335, 497, 359, 521, 361, 523)(336, 498, 363, 525, 365, 527)(337, 499, 366, 528, 367, 529)(339, 501, 372, 534, 374, 536)(341, 503, 377, 539, 379, 541)(342, 504, 381, 543, 383, 545)(343, 505, 384, 546, 370, 532)(346, 508, 390, 552, 391, 553)(347, 509, 389, 551, 393, 555)(348, 510, 395, 557, 397, 559)(349, 511, 380, 542, 398, 560)(351, 513, 403, 565, 405, 567)(353, 515, 407, 569, 409, 571)(354, 516, 410, 572, 386, 548)(355, 517, 411, 573, 401, 563)(358, 520, 360, 522, 415, 577)(362, 524, 375, 537, 422, 584)(364, 526, 426, 588, 428, 590)(368, 530, 414, 576, 431, 593)(369, 531, 433, 595, 421, 583)(371, 533, 417, 579, 430, 592)(373, 535, 427, 589, 442, 604)(376, 538, 420, 582, 439, 601)(378, 540, 448, 610, 423, 585)(382, 544, 451, 613, 394, 556)(385, 547, 452, 614, 453, 615)(387, 549, 455, 617, 429, 591)(388, 550, 447, 609, 399, 561)(392, 554, 432, 594, 454, 616)(396, 558, 449, 611, 465, 627)(400, 562, 445, 607, 460, 622)(402, 564, 456, 618, 467, 629)(404, 566, 464, 626, 444, 606)(406, 568, 459, 621, 470, 632)(408, 570, 441, 603, 461, 623)(412, 574, 474, 636, 438, 600)(413, 575, 476, 638, 466, 628)(416, 578, 434, 596, 475, 637)(418, 580, 479, 641, 435, 597)(419, 581, 457, 619, 480, 642)(424, 586, 478, 640, 450, 612)(425, 587, 446, 608, 436, 598)(437, 599, 477, 639, 483, 645)(440, 602, 484, 646, 482, 644)(443, 605, 481, 643, 468, 630)(458, 620, 473, 635, 462, 624)(463, 625, 472, 634, 469, 631)(471, 633, 485, 647, 486, 648)
	L = (1, 328)(2, 332)(3, 336)(4, 339)(5, 342)(6, 325)(7, 348)(8, 351)(9, 354)(10, 326)(11, 360)(12, 364)(13, 327)(14, 370)(15, 373)(16, 366)(17, 378)(18, 382)(19, 329)(20, 387)(21, 389)(22, 330)(23, 390)(24, 396)(25, 331)(26, 401)(27, 404)(28, 380)(29, 408)(30, 375)(31, 333)(32, 413)(33, 359)(34, 334)(35, 418)(36, 419)(37, 410)(38, 335)(39, 345)(40, 427)(41, 384)(42, 353)(43, 430)(44, 337)(45, 434)(46, 436)(47, 338)(48, 439)(49, 441)(50, 417)(51, 444)(52, 340)(53, 447)(54, 449)(55, 386)(56, 341)(57, 367)(58, 442)(59, 344)(60, 420)(61, 343)(62, 356)(63, 440)(64, 424)(65, 443)(66, 437)(67, 445)(68, 346)(69, 381)(70, 347)(71, 357)(72, 464)(73, 411)(74, 467)(75, 349)(76, 432)(77, 469)(78, 350)(79, 470)(80, 448)(81, 456)(82, 352)(83, 431)(84, 426)(85, 383)(86, 398)(87, 459)(88, 355)(89, 471)(90, 462)(91, 433)(92, 358)(93, 414)(94, 405)(95, 402)(96, 481)(97, 361)(98, 377)(99, 362)(100, 463)(101, 363)(102, 455)(103, 468)(104, 446)(105, 365)(106, 482)(107, 483)(108, 368)(109, 406)(110, 399)(111, 369)(112, 461)(113, 371)(114, 450)(115, 453)(116, 372)(117, 458)(118, 484)(119, 374)(120, 485)(121, 376)(122, 452)(123, 480)(124, 478)(125, 476)(126, 379)(127, 407)(128, 460)(129, 473)(130, 385)(131, 391)(132, 388)(133, 475)(134, 392)(135, 479)(136, 393)(137, 394)(138, 425)(139, 395)(140, 435)(141, 472)(142, 397)(143, 486)(144, 400)(145, 423)(146, 438)(147, 403)(148, 474)(149, 409)(150, 421)(151, 412)(152, 415)(153, 454)(154, 416)(155, 422)(156, 466)(157, 451)(158, 428)(159, 429)(160, 477)(161, 457)(162, 465)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2708
Graph:: simple bipartite
	v = 135 e = 324 f = 135
	degree seq :: [ 4^81, 6^54 ]

E28.2702 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 14>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^2, Y2^3, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, (Y2 * Y1 * Y2^-1 * Y1)^3, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map::
	R = (1, 163, 2, 164)(3, 165, 7, 169)(4, 166, 8, 170)(5, 167, 9, 171)(6, 168, 10, 172)(11, 173, 19, 181)(12, 174, 20, 182)(13, 175, 21, 183)(14, 176, 22, 184)(15, 177, 23, 185)(16, 178, 24, 186)(17, 179, 25, 187)(18, 180, 26, 188)(27, 189, 43, 205)(28, 190, 44, 206)(29, 191, 37, 199)(30, 192, 45, 207)(31, 193, 46, 208)(32, 194, 40, 202)(33, 195, 47, 209)(34, 196, 48, 210)(35, 197, 49, 211)(36, 198, 50, 212)(38, 200, 51, 213)(39, 201, 52, 214)(41, 203, 53, 215)(42, 204, 54, 216)(55, 217, 73, 235)(56, 218, 74, 236)(57, 219, 75, 237)(58, 220, 76, 238)(59, 221, 77, 239)(60, 222, 78, 240)(61, 223, 79, 241)(62, 224, 80, 242)(63, 225, 81, 243)(64, 226, 82, 244)(65, 227, 83, 245)(66, 228, 84, 246)(67, 229, 85, 247)(68, 230, 86, 248)(69, 231, 87, 249)(70, 232, 88, 250)(71, 233, 89, 251)(72, 234, 90, 252)(91, 253, 115, 277)(92, 254, 116, 278)(93, 255, 117, 279)(94, 256, 118, 280)(95, 257, 119, 281)(96, 258, 108, 270)(97, 259, 120, 282)(98, 260, 121, 283)(99, 261, 111, 273)(100, 262, 122, 284)(101, 263, 123, 285)(102, 264, 124, 286)(103, 265, 125, 287)(104, 266, 126, 288)(105, 267, 127, 289)(106, 268, 128, 290)(107, 269, 129, 291)(109, 271, 130, 292)(110, 272, 131, 293)(112, 274, 132, 294)(113, 275, 133, 295)(114, 276, 134, 296)(135, 297, 149, 311)(136, 298, 157, 319)(137, 299, 151, 313)(138, 300, 158, 320)(139, 301, 159, 321)(140, 302, 154, 316)(141, 303, 160, 322)(142, 304, 161, 323)(143, 305, 150, 312)(144, 306, 152, 314)(145, 307, 153, 315)(146, 308, 155, 317)(147, 309, 156, 318)(148, 310, 162, 324)(325, 487, 327, 489, 328, 490)(326, 488, 329, 491, 330, 492)(331, 493, 335, 497, 336, 498)(332, 494, 337, 499, 338, 500)(333, 495, 339, 501, 340, 502)(334, 496, 341, 503, 342, 504)(343, 505, 351, 513, 352, 514)(344, 506, 353, 515, 354, 516)(345, 507, 355, 517, 356, 518)(346, 508, 357, 519, 358, 520)(347, 509, 359, 521, 360, 522)(348, 510, 361, 523, 362, 524)(349, 511, 363, 525, 364, 526)(350, 512, 365, 527, 366, 528)(367, 529, 379, 541, 380, 542)(368, 530, 371, 533, 381, 543)(369, 531, 382, 544, 383, 545)(370, 532, 384, 546, 385, 547)(372, 534, 386, 548, 387, 549)(373, 535, 388, 550, 389, 551)(374, 536, 377, 539, 390, 552)(375, 537, 391, 553, 392, 554)(376, 538, 393, 555, 394, 556)(378, 540, 395, 557, 396, 558)(397, 559, 415, 577, 416, 578)(398, 560, 400, 562, 417, 579)(399, 561, 418, 580, 419, 581)(401, 563, 420, 582, 421, 583)(402, 564, 422, 584, 423, 585)(403, 565, 404, 566, 424, 586)(405, 567, 425, 587, 426, 588)(406, 568, 427, 589, 428, 590)(407, 569, 409, 571, 429, 591)(408, 570, 430, 592, 431, 593)(410, 572, 432, 594, 433, 595)(411, 573, 434, 596, 435, 597)(412, 574, 413, 575, 436, 598)(414, 576, 437, 599, 438, 600)(439, 601, 459, 621, 460, 622)(440, 602, 442, 604, 461, 623)(441, 603, 462, 624, 463, 625)(443, 605, 447, 609, 464, 626)(444, 606, 465, 627, 466, 628)(445, 607, 467, 629, 468, 630)(446, 608, 469, 631, 470, 632)(448, 610, 471, 633, 472, 634)(449, 611, 473, 635, 474, 636)(450, 612, 452, 614, 475, 637)(451, 613, 476, 638, 477, 639)(453, 615, 457, 619, 478, 640)(454, 616, 479, 641, 480, 642)(455, 617, 481, 643, 482, 644)(456, 618, 483, 645, 484, 646)(458, 620, 485, 647, 486, 648)
	L = (1, 325)(2, 326)(3, 327)(4, 328)(5, 329)(6, 330)(7, 331)(8, 332)(9, 333)(10, 334)(11, 335)(12, 336)(13, 337)(14, 338)(15, 339)(16, 340)(17, 341)(18, 342)(19, 343)(20, 344)(21, 345)(22, 346)(23, 347)(24, 348)(25, 349)(26, 350)(27, 351)(28, 352)(29, 353)(30, 354)(31, 355)(32, 356)(33, 357)(34, 358)(35, 359)(36, 360)(37, 361)(38, 362)(39, 363)(40, 364)(41, 365)(42, 366)(43, 367)(44, 368)(45, 369)(46, 370)(47, 371)(48, 372)(49, 373)(50, 374)(51, 375)(52, 376)(53, 377)(54, 378)(55, 379)(56, 380)(57, 381)(58, 382)(59, 383)(60, 384)(61, 385)(62, 386)(63, 387)(64, 388)(65, 389)(66, 390)(67, 391)(68, 392)(69, 393)(70, 394)(71, 395)(72, 396)(73, 397)(74, 398)(75, 399)(76, 400)(77, 401)(78, 402)(79, 403)(80, 404)(81, 405)(82, 406)(83, 407)(84, 408)(85, 409)(86, 410)(87, 411)(88, 412)(89, 413)(90, 414)(91, 415)(92, 416)(93, 417)(94, 418)(95, 419)(96, 420)(97, 421)(98, 422)(99, 423)(100, 424)(101, 425)(102, 426)(103, 427)(104, 428)(105, 429)(106, 430)(107, 431)(108, 432)(109, 433)(110, 434)(111, 435)(112, 436)(113, 437)(114, 438)(115, 439)(116, 440)(117, 441)(118, 442)(119, 443)(120, 444)(121, 445)(122, 446)(123, 447)(124, 448)(125, 449)(126, 450)(127, 451)(128, 452)(129, 453)(130, 454)(131, 455)(132, 456)(133, 457)(134, 458)(135, 459)(136, 460)(137, 461)(138, 462)(139, 463)(140, 464)(141, 465)(142, 466)(143, 467)(144, 468)(145, 469)(146, 470)(147, 471)(148, 472)(149, 473)(150, 474)(151, 475)(152, 476)(153, 477)(154, 478)(155, 479)(156, 480)(157, 481)(158, 482)(159, 483)(160, 484)(161, 485)(162, 486)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 135 e = 324 f = 135
	degree seq :: [ 4^81, 6^54 ]

E28.2703 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 15>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^2, Y2^3, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, (Y1 * Y2)^6, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1, (Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1)^3 ]
Map::
	R = (1, 163, 2, 164)(3, 165, 7, 169)(4, 166, 8, 170)(5, 167, 9, 171)(6, 168, 10, 172)(11, 173, 19, 181)(12, 174, 20, 182)(13, 175, 21, 183)(14, 176, 22, 184)(15, 177, 23, 185)(16, 178, 24, 186)(17, 179, 25, 187)(18, 180, 26, 188)(27, 189, 42, 204)(28, 190, 43, 205)(29, 191, 44, 206)(30, 192, 45, 207)(31, 193, 46, 208)(32, 194, 47, 209)(33, 195, 48, 210)(34, 196, 35, 197)(36, 198, 49, 211)(37, 199, 50, 212)(38, 200, 51, 213)(39, 201, 52, 214)(40, 202, 53, 215)(41, 203, 54, 216)(55, 217, 73, 235)(56, 218, 74, 236)(57, 219, 75, 237)(58, 220, 76, 238)(59, 221, 77, 239)(60, 222, 78, 240)(61, 223, 79, 241)(62, 224, 80, 242)(63, 225, 81, 243)(64, 226, 82, 244)(65, 227, 83, 245)(66, 228, 84, 246)(67, 229, 85, 247)(68, 230, 86, 248)(69, 231, 87, 249)(70, 232, 88, 250)(71, 233, 89, 251)(72, 234, 90, 252)(91, 253, 114, 276)(92, 254, 115, 277)(93, 255, 116, 278)(94, 256, 117, 279)(95, 257, 118, 280)(96, 258, 119, 281)(97, 259, 120, 282)(98, 260, 121, 283)(99, 261, 122, 284)(100, 262, 123, 285)(101, 263, 124, 286)(102, 264, 103, 265)(104, 266, 125, 287)(105, 267, 126, 288)(106, 268, 127, 289)(107, 269, 128, 290)(108, 270, 129, 291)(109, 271, 130, 292)(110, 272, 131, 293)(111, 273, 132, 294)(112, 274, 133, 295)(113, 275, 134, 296)(135, 297, 153, 315)(136, 298, 152, 314)(137, 299, 151, 313)(138, 300, 150, 312)(139, 301, 149, 311)(140, 302, 157, 319)(141, 303, 156, 318)(142, 304, 155, 317)(143, 305, 154, 316)(144, 306, 162, 324)(145, 307, 161, 323)(146, 308, 160, 322)(147, 309, 159, 321)(148, 310, 158, 320)(325, 487, 327, 489, 328, 490)(326, 488, 329, 491, 330, 492)(331, 493, 335, 497, 336, 498)(332, 494, 337, 499, 338, 500)(333, 495, 339, 501, 340, 502)(334, 496, 341, 503, 342, 504)(343, 505, 351, 513, 352, 514)(344, 506, 353, 515, 354, 516)(345, 507, 355, 517, 356, 518)(346, 508, 357, 519, 358, 520)(347, 509, 359, 521, 360, 522)(348, 510, 361, 523, 362, 524)(349, 511, 363, 525, 364, 526)(350, 512, 365, 527, 366, 528)(367, 529, 379, 541, 380, 542)(368, 530, 381, 543, 382, 544)(369, 531, 383, 545, 370, 532)(371, 533, 384, 546, 385, 547)(372, 534, 386, 548, 387, 549)(373, 535, 388, 550, 389, 551)(374, 536, 390, 552, 391, 553)(375, 537, 392, 554, 376, 538)(377, 539, 393, 555, 394, 556)(378, 540, 395, 557, 396, 558)(397, 559, 415, 577, 416, 578)(398, 560, 417, 579, 399, 561)(400, 562, 418, 580, 419, 581)(401, 563, 420, 582, 421, 583)(402, 564, 422, 584, 423, 585)(403, 565, 424, 586, 404, 566)(405, 567, 425, 587, 426, 588)(406, 568, 427, 589, 428, 590)(407, 569, 429, 591, 408, 570)(409, 571, 430, 592, 431, 593)(410, 572, 432, 594, 433, 595)(411, 573, 434, 596, 435, 597)(412, 574, 436, 598, 413, 575)(414, 576, 437, 599, 438, 600)(439, 601, 459, 621, 460, 622)(440, 602, 461, 623, 462, 624)(441, 603, 463, 625, 464, 626)(442, 604, 465, 627, 443, 605)(444, 606, 466, 628, 445, 607)(446, 608, 467, 629, 468, 630)(447, 609, 469, 631, 470, 632)(448, 610, 471, 633, 472, 634)(449, 611, 473, 635, 474, 636)(450, 612, 475, 637, 476, 638)(451, 613, 477, 639, 478, 640)(452, 614, 479, 641, 453, 615)(454, 616, 480, 642, 455, 617)(456, 618, 481, 643, 482, 644)(457, 619, 483, 645, 484, 646)(458, 620, 485, 647, 486, 648)
	L = (1, 325)(2, 326)(3, 327)(4, 328)(5, 329)(6, 330)(7, 331)(8, 332)(9, 333)(10, 334)(11, 335)(12, 336)(13, 337)(14, 338)(15, 339)(16, 340)(17, 341)(18, 342)(19, 343)(20, 344)(21, 345)(22, 346)(23, 347)(24, 348)(25, 349)(26, 350)(27, 351)(28, 352)(29, 353)(30, 354)(31, 355)(32, 356)(33, 357)(34, 358)(35, 359)(36, 360)(37, 361)(38, 362)(39, 363)(40, 364)(41, 365)(42, 366)(43, 367)(44, 368)(45, 369)(46, 370)(47, 371)(48, 372)(49, 373)(50, 374)(51, 375)(52, 376)(53, 377)(54, 378)(55, 379)(56, 380)(57, 381)(58, 382)(59, 383)(60, 384)(61, 385)(62, 386)(63, 387)(64, 388)(65, 389)(66, 390)(67, 391)(68, 392)(69, 393)(70, 394)(71, 395)(72, 396)(73, 397)(74, 398)(75, 399)(76, 400)(77, 401)(78, 402)(79, 403)(80, 404)(81, 405)(82, 406)(83, 407)(84, 408)(85, 409)(86, 410)(87, 411)(88, 412)(89, 413)(90, 414)(91, 415)(92, 416)(93, 417)(94, 418)(95, 419)(96, 420)(97, 421)(98, 422)(99, 423)(100, 424)(101, 425)(102, 426)(103, 427)(104, 428)(105, 429)(106, 430)(107, 431)(108, 432)(109, 433)(110, 434)(111, 435)(112, 436)(113, 437)(114, 438)(115, 439)(116, 440)(117, 441)(118, 442)(119, 443)(120, 444)(121, 445)(122, 446)(123, 447)(124, 448)(125, 449)(126, 450)(127, 451)(128, 452)(129, 453)(130, 454)(131, 455)(132, 456)(133, 457)(134, 458)(135, 459)(136, 460)(137, 461)(138, 462)(139, 463)(140, 464)(141, 465)(142, 466)(143, 467)(144, 468)(145, 469)(146, 470)(147, 471)(148, 472)(149, 473)(150, 474)(151, 475)(152, 476)(153, 477)(154, 478)(155, 479)(156, 480)(157, 481)(158, 482)(159, 483)(160, 484)(161, 485)(162, 486)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 135 e = 324 f = 135
	degree seq :: [ 4^81, 6^54 ]

E28.2704 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 15>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, Y2^3, (R * Y3)^2, (R * Y2)^2, (Y3^-1 * Y1)^2, (Y3, Y2^-1), (R * Y1)^2, (Y1 * Y2^-1)^6, Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 163, 2, 164)(3, 165, 11, 173)(4, 166, 10, 172)(5, 167, 15, 177)(6, 168, 8, 170)(7, 169, 17, 179)(9, 171, 21, 183)(12, 174, 26, 188)(13, 175, 24, 186)(14, 176, 27, 189)(16, 178, 29, 191)(18, 180, 34, 196)(19, 181, 32, 194)(20, 182, 35, 197)(22, 184, 37, 199)(23, 185, 39, 201)(25, 187, 43, 205)(28, 190, 47, 209)(30, 192, 50, 212)(31, 193, 51, 213)(33, 195, 55, 217)(36, 198, 59, 221)(38, 200, 62, 224)(40, 202, 66, 228)(41, 203, 64, 226)(42, 204, 67, 229)(44, 206, 69, 231)(45, 207, 71, 233)(46, 208, 72, 234)(48, 210, 75, 237)(49, 211, 76, 238)(52, 214, 82, 244)(53, 215, 80, 242)(54, 216, 83, 245)(56, 218, 85, 247)(57, 219, 87, 249)(58, 220, 88, 250)(60, 222, 91, 253)(61, 223, 92, 254)(63, 225, 94, 256)(65, 227, 98, 260)(68, 230, 102, 264)(70, 232, 105, 267)(73, 235, 110, 272)(74, 236, 112, 274)(77, 239, 116, 278)(78, 240, 79, 241)(81, 243, 120, 282)(84, 246, 103, 265)(86, 248, 125, 287)(89, 251, 130, 292)(90, 252, 113, 275)(93, 255, 134, 296)(95, 257, 133, 295)(96, 258, 129, 291)(97, 259, 135, 297)(99, 261, 137, 299)(100, 262, 122, 284)(101, 263, 139, 301)(104, 266, 140, 302)(106, 268, 142, 304)(107, 269, 127, 289)(108, 270, 136, 298)(109, 271, 118, 280)(111, 273, 143, 305)(114, 276, 144, 306)(115, 277, 117, 279)(119, 281, 146, 308)(121, 283, 148, 310)(123, 285, 150, 312)(124, 286, 151, 313)(126, 288, 153, 315)(128, 290, 147, 309)(131, 293, 154, 316)(132, 294, 155, 317)(138, 300, 158, 320)(141, 303, 161, 323)(145, 307, 162, 324)(149, 311, 160, 322)(152, 314, 157, 319)(156, 318, 159, 321)(325, 487, 327, 489, 329, 491)(326, 488, 331, 493, 333, 495)(328, 490, 336, 498, 338, 500)(330, 492, 337, 499, 340, 502)(332, 494, 342, 504, 344, 506)(334, 496, 343, 505, 346, 508)(335, 497, 347, 509, 349, 511)(339, 501, 352, 514, 354, 516)(341, 503, 355, 517, 357, 519)(345, 507, 360, 522, 362, 524)(348, 510, 364, 526, 366, 528)(350, 512, 365, 527, 368, 530)(351, 513, 369, 531, 370, 532)(353, 515, 372, 534, 373, 535)(356, 518, 376, 538, 378, 540)(358, 520, 377, 539, 380, 542)(359, 521, 381, 543, 382, 544)(361, 523, 384, 546, 385, 547)(363, 525, 387, 549, 389, 551)(367, 529, 392, 554, 394, 556)(371, 533, 397, 559, 398, 560)(374, 536, 401, 563, 402, 564)(375, 537, 403, 565, 405, 567)(379, 541, 408, 570, 410, 572)(383, 545, 413, 575, 414, 576)(386, 548, 417, 579, 418, 580)(388, 550, 419, 581, 421, 583)(390, 552, 420, 582, 423, 585)(391, 553, 424, 586, 425, 587)(393, 555, 427, 589, 428, 590)(395, 557, 430, 592, 431, 593)(396, 558, 432, 594, 433, 595)(399, 561, 435, 597, 437, 599)(400, 562, 438, 600, 439, 601)(404, 566, 441, 603, 443, 605)(406, 568, 442, 604, 445, 607)(407, 569, 446, 608, 447, 609)(409, 571, 426, 588, 448, 610)(411, 573, 450, 612, 451, 613)(412, 574, 452, 614, 453, 615)(415, 577, 455, 617, 436, 598)(416, 578, 456, 618, 457, 619)(422, 584, 460, 622, 462, 624)(429, 591, 465, 627, 434, 596)(440, 602, 469, 631, 461, 623)(444, 606, 471, 633, 473, 635)(449, 611, 476, 638, 454, 616)(458, 620, 480, 642, 472, 634)(459, 621, 468, 630, 481, 643)(463, 625, 483, 645, 467, 629)(464, 626, 484, 646, 466, 628)(470, 632, 479, 641, 485, 647)(474, 636, 486, 648, 478, 640)(475, 637, 482, 644, 477, 639)
	L = (1, 328)(2, 332)(3, 336)(4, 330)(5, 338)(6, 325)(7, 342)(8, 334)(9, 344)(10, 326)(11, 348)(12, 337)(13, 327)(14, 340)(15, 353)(16, 329)(17, 356)(18, 343)(19, 331)(20, 346)(21, 361)(22, 333)(23, 364)(24, 350)(25, 366)(26, 335)(27, 339)(28, 372)(29, 351)(30, 373)(31, 376)(32, 358)(33, 378)(34, 341)(35, 345)(36, 384)(37, 359)(38, 385)(39, 388)(40, 365)(41, 347)(42, 368)(43, 393)(44, 349)(45, 352)(46, 354)(47, 395)(48, 369)(49, 370)(50, 396)(51, 404)(52, 377)(53, 355)(54, 380)(55, 409)(56, 357)(57, 360)(58, 362)(59, 411)(60, 381)(61, 382)(62, 412)(63, 419)(64, 390)(65, 421)(66, 363)(67, 367)(68, 427)(69, 391)(70, 428)(71, 399)(72, 400)(73, 430)(74, 431)(75, 371)(76, 374)(77, 432)(78, 433)(79, 441)(80, 406)(81, 443)(82, 375)(83, 379)(84, 426)(85, 407)(86, 448)(87, 415)(88, 416)(89, 450)(90, 451)(91, 383)(92, 386)(93, 452)(94, 453)(95, 420)(96, 387)(97, 423)(98, 461)(99, 389)(100, 392)(101, 394)(102, 446)(103, 424)(104, 425)(105, 463)(106, 435)(107, 437)(108, 438)(109, 439)(110, 467)(111, 397)(112, 414)(113, 398)(114, 401)(115, 402)(116, 468)(117, 442)(118, 403)(119, 445)(120, 472)(121, 405)(122, 408)(123, 410)(124, 447)(125, 474)(126, 455)(127, 436)(128, 456)(129, 457)(130, 478)(131, 413)(132, 417)(133, 418)(134, 479)(135, 422)(136, 440)(137, 459)(138, 469)(139, 464)(140, 429)(141, 483)(142, 434)(143, 466)(144, 460)(145, 481)(146, 444)(147, 458)(148, 470)(149, 480)(150, 475)(151, 449)(152, 486)(153, 454)(154, 477)(155, 471)(156, 485)(157, 462)(158, 476)(159, 484)(160, 465)(161, 473)(162, 482)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2705
Graph:: simple bipartite
	v = 135 e = 324 f = 135
	degree seq :: [ 4^81, 6^54 ]

E28.2705 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 15>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, (Y3, Y2^-1), (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y1 * Y2^-1)^6, Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 163, 2, 164)(3, 165, 11, 173)(4, 166, 10, 172)(5, 167, 15, 177)(6, 168, 8, 170)(7, 169, 17, 179)(9, 171, 21, 183)(12, 174, 26, 188)(13, 175, 24, 186)(14, 176, 27, 189)(16, 178, 29, 191)(18, 180, 34, 196)(19, 181, 32, 194)(20, 182, 35, 197)(22, 184, 37, 199)(23, 185, 39, 201)(25, 187, 43, 205)(28, 190, 47, 209)(30, 192, 50, 212)(31, 193, 51, 213)(33, 195, 55, 217)(36, 198, 59, 221)(38, 200, 62, 224)(40, 202, 66, 228)(41, 203, 64, 226)(42, 204, 67, 229)(44, 206, 69, 231)(45, 207, 71, 233)(46, 208, 72, 234)(48, 210, 75, 237)(49, 211, 76, 238)(52, 214, 82, 244)(53, 215, 80, 242)(54, 216, 83, 245)(56, 218, 85, 247)(57, 219, 87, 249)(58, 220, 88, 250)(60, 222, 91, 253)(61, 223, 92, 254)(63, 225, 94, 256)(65, 227, 98, 260)(68, 230, 102, 264)(70, 232, 105, 267)(73, 235, 110, 272)(74, 236, 112, 274)(77, 239, 116, 278)(78, 240, 79, 241)(81, 243, 120, 282)(84, 246, 100, 262)(86, 248, 125, 287)(89, 251, 129, 291)(90, 252, 107, 269)(93, 255, 134, 296)(95, 257, 133, 295)(96, 258, 128, 290)(97, 259, 135, 297)(99, 261, 137, 299)(101, 263, 139, 301)(103, 265, 123, 285)(104, 266, 140, 302)(106, 268, 142, 304)(108, 270, 143, 305)(109, 271, 118, 280)(111, 273, 144, 306)(113, 275, 131, 293)(114, 276, 136, 298)(115, 277, 117, 279)(119, 281, 146, 308)(121, 283, 148, 310)(122, 284, 150, 312)(124, 286, 151, 313)(126, 288, 153, 315)(127, 289, 154, 316)(130, 292, 155, 317)(132, 294, 147, 309)(138, 300, 158, 320)(141, 303, 161, 323)(145, 307, 162, 324)(149, 311, 159, 321)(152, 314, 157, 319)(156, 318, 160, 322)(325, 487, 327, 489, 329, 491)(326, 488, 331, 493, 333, 495)(328, 490, 336, 498, 338, 500)(330, 492, 337, 499, 340, 502)(332, 494, 342, 504, 344, 506)(334, 496, 343, 505, 346, 508)(335, 497, 347, 509, 349, 511)(339, 501, 352, 514, 354, 516)(341, 503, 355, 517, 357, 519)(345, 507, 360, 522, 362, 524)(348, 510, 364, 526, 366, 528)(350, 512, 365, 527, 368, 530)(351, 513, 369, 531, 370, 532)(353, 515, 372, 534, 373, 535)(356, 518, 376, 538, 378, 540)(358, 520, 377, 539, 380, 542)(359, 521, 381, 543, 382, 544)(361, 523, 384, 546, 385, 547)(363, 525, 387, 549, 389, 551)(367, 529, 392, 554, 394, 556)(371, 533, 397, 559, 398, 560)(374, 536, 401, 563, 402, 564)(375, 537, 403, 565, 405, 567)(379, 541, 408, 570, 410, 572)(383, 545, 413, 575, 414, 576)(386, 548, 417, 579, 418, 580)(388, 550, 419, 581, 421, 583)(390, 552, 420, 582, 423, 585)(391, 553, 424, 586, 425, 587)(393, 555, 427, 589, 428, 590)(395, 557, 430, 592, 431, 593)(396, 558, 432, 594, 433, 595)(399, 561, 435, 597, 437, 599)(400, 562, 438, 600, 439, 601)(404, 566, 441, 603, 443, 605)(406, 568, 442, 604, 445, 607)(407, 569, 426, 588, 446, 608)(409, 571, 447, 609, 448, 610)(411, 573, 450, 612, 436, 598)(412, 574, 451, 613, 452, 614)(415, 577, 454, 616, 455, 617)(416, 578, 456, 618, 457, 619)(422, 584, 460, 622, 462, 624)(429, 591, 465, 627, 434, 596)(440, 602, 469, 631, 459, 621)(444, 606, 471, 633, 473, 635)(449, 611, 476, 638, 453, 615)(458, 620, 480, 642, 470, 632)(461, 623, 467, 629, 481, 643)(463, 625, 483, 645, 468, 630)(464, 626, 484, 646, 466, 628)(472, 634, 478, 640, 485, 647)(474, 636, 482, 644, 479, 641)(475, 637, 486, 648, 477, 639)
	L = (1, 328)(2, 332)(3, 336)(4, 330)(5, 338)(6, 325)(7, 342)(8, 334)(9, 344)(10, 326)(11, 348)(12, 337)(13, 327)(14, 340)(15, 353)(16, 329)(17, 356)(18, 343)(19, 331)(20, 346)(21, 361)(22, 333)(23, 364)(24, 350)(25, 366)(26, 335)(27, 339)(28, 372)(29, 351)(30, 373)(31, 376)(32, 358)(33, 378)(34, 341)(35, 345)(36, 384)(37, 359)(38, 385)(39, 388)(40, 365)(41, 347)(42, 368)(43, 393)(44, 349)(45, 352)(46, 354)(47, 395)(48, 369)(49, 370)(50, 396)(51, 404)(52, 377)(53, 355)(54, 380)(55, 409)(56, 357)(57, 360)(58, 362)(59, 411)(60, 381)(61, 382)(62, 412)(63, 419)(64, 390)(65, 421)(66, 363)(67, 367)(68, 427)(69, 391)(70, 428)(71, 399)(72, 400)(73, 430)(74, 431)(75, 371)(76, 374)(77, 432)(78, 433)(79, 441)(80, 406)(81, 443)(82, 375)(83, 379)(84, 447)(85, 407)(86, 448)(87, 415)(88, 416)(89, 450)(90, 436)(91, 383)(92, 386)(93, 451)(94, 452)(95, 420)(96, 387)(97, 423)(98, 461)(99, 389)(100, 392)(101, 394)(102, 408)(103, 424)(104, 425)(105, 463)(106, 435)(107, 437)(108, 438)(109, 439)(110, 468)(111, 397)(112, 455)(113, 398)(114, 401)(115, 402)(116, 460)(117, 442)(118, 403)(119, 445)(120, 472)(121, 405)(122, 410)(123, 426)(124, 446)(125, 474)(126, 454)(127, 456)(128, 457)(129, 479)(130, 413)(131, 414)(132, 417)(133, 418)(134, 471)(135, 422)(136, 467)(137, 459)(138, 481)(139, 464)(140, 429)(141, 483)(142, 434)(143, 440)(144, 466)(145, 462)(146, 444)(147, 478)(148, 470)(149, 485)(150, 475)(151, 449)(152, 482)(153, 453)(154, 458)(155, 477)(156, 473)(157, 469)(158, 486)(159, 484)(160, 465)(161, 480)(162, 476)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2704
Graph:: simple bipartite
	v = 135 e = 324 f = 135
	degree seq :: [ 4^81, 6^54 ]

E28.2706 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 14>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, Y2^3, (R * Y3^-1)^2, (Y1 * R)^2, (Y1 * Y3^-1)^2, Y2 * Y1 * Y2^-1 * Y1 * Y3^-1, Y1 * Y3^-1 * Y2 * Y1 * Y2^-1, Y1 * Y2 * Y1 * Y2^-1 * Y3, R * Y1 * Y3 * R * Y1 * Y3^-1, (Y2^-1 * Y3)^3, R * Y2 * R * Y3 * Y2 * Y3^-1, R * Y2^-1 * R * Y3 * Y2^-1 * Y3^2, (Y2 * R * Y2 * Y1)^2, Y3 * Y2 * Y3 * Y1 * Y3^-2 * Y2^-1 * Y3^-1 * Y1, Y3 * Y2 * Y3 * Y2 * R * Y2^-1 * R * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 163, 2, 164)(3, 165, 11, 173)(4, 166, 10, 172)(5, 167, 16, 178)(6, 168, 8, 170)(7, 169, 19, 181)(9, 171, 17, 179)(12, 174, 28, 190)(13, 175, 27, 189)(14, 176, 23, 185)(15, 177, 35, 197)(18, 180, 25, 187)(20, 182, 43, 205)(21, 183, 39, 201)(22, 184, 42, 204)(24, 186, 44, 206)(26, 188, 31, 193)(29, 191, 55, 217)(30, 192, 59, 221)(32, 194, 61, 223)(33, 195, 50, 212)(34, 196, 49, 211)(36, 198, 54, 216)(37, 199, 40, 202)(38, 200, 52, 214)(41, 203, 73, 235)(45, 207, 51, 213)(46, 208, 76, 238)(47, 209, 71, 233)(48, 210, 78, 240)(53, 215, 74, 236)(56, 218, 62, 224)(57, 219, 92, 254)(58, 220, 91, 253)(60, 222, 70, 232)(63, 225, 93, 255)(64, 226, 85, 247)(65, 227, 104, 266)(66, 228, 87, 249)(67, 229, 68, 230)(69, 231, 109, 271)(72, 234, 82, 244)(75, 237, 89, 251)(77, 239, 83, 245)(79, 241, 119, 281)(80, 242, 113, 275)(81, 243, 117, 279)(84, 246, 118, 280)(86, 248, 106, 268)(88, 250, 120, 282)(90, 252, 100, 262)(94, 256, 135, 297)(95, 257, 141, 303)(96, 258, 137, 299)(97, 259, 98, 260)(99, 261, 146, 308)(101, 263, 148, 310)(102, 264, 129, 291)(103, 265, 128, 290)(105, 267, 108, 270)(107, 269, 130, 292)(110, 272, 134, 296)(111, 273, 115, 277)(112, 274, 125, 287)(114, 276, 132, 294)(116, 278, 159, 321)(121, 283, 131, 293)(122, 284, 140, 302)(123, 285, 151, 313)(124, 286, 144, 306)(126, 288, 154, 316)(127, 289, 150, 312)(133, 295, 157, 319)(136, 298, 143, 305)(138, 300, 149, 311)(139, 301, 161, 323)(142, 304, 145, 307)(147, 309, 158, 320)(152, 314, 153, 315)(155, 317, 156, 318)(160, 322, 162, 324)(325, 487, 327, 489, 329, 491)(326, 488, 331, 493, 333, 495)(328, 490, 338, 500, 339, 501)(330, 492, 343, 505, 344, 506)(332, 494, 347, 509, 348, 510)(334, 496, 335, 497, 350, 512)(336, 498, 353, 515, 354, 516)(337, 499, 355, 517, 356, 518)(340, 502, 361, 523, 352, 514)(341, 503, 362, 524, 363, 525)(342, 504, 364, 526, 365, 527)(345, 507, 370, 532, 371, 533)(346, 508, 367, 529, 372, 534)(349, 511, 376, 538, 377, 539)(351, 513, 379, 541, 380, 542)(357, 519, 388, 550, 389, 551)(358, 520, 368, 530, 390, 552)(359, 521, 391, 553, 374, 536)(360, 522, 392, 554, 393, 555)(366, 528, 400, 562, 401, 563)(369, 531, 402, 564, 403, 565)(373, 535, 409, 571, 410, 572)(375, 537, 411, 573, 412, 574)(378, 540, 385, 547, 414, 576)(381, 543, 418, 580, 419, 581)(382, 544, 386, 548, 420, 582)(383, 545, 421, 583, 416, 578)(384, 546, 422, 584, 423, 585)(387, 549, 424, 586, 425, 587)(394, 556, 397, 559, 435, 597)(395, 557, 436, 598, 437, 599)(396, 558, 398, 560, 438, 600)(399, 561, 439, 601, 440, 602)(404, 566, 446, 608, 447, 609)(405, 567, 407, 569, 448, 610)(406, 568, 449, 611, 450, 612)(408, 570, 443, 605, 451, 613)(413, 575, 456, 618, 457, 619)(415, 577, 459, 621, 460, 622)(417, 579, 461, 623, 462, 624)(426, 588, 463, 625, 475, 637)(427, 589, 430, 592, 466, 628)(428, 590, 476, 638, 453, 615)(429, 591, 477, 639, 478, 640)(431, 593, 444, 606, 471, 633)(432, 594, 433, 595, 479, 641)(434, 596, 480, 642, 481, 643)(441, 603, 464, 626, 467, 629)(442, 604, 468, 630, 473, 635)(445, 607, 474, 636, 484, 646)(452, 614, 485, 647, 465, 627)(454, 616, 469, 631, 470, 632)(455, 617, 482, 644, 483, 645)(458, 620, 472, 634, 486, 648)
	L = (1, 328)(2, 332)(3, 336)(4, 330)(5, 341)(6, 325)(7, 345)(8, 334)(9, 340)(10, 326)(11, 351)(12, 337)(13, 327)(14, 357)(15, 355)(16, 349)(17, 342)(18, 329)(19, 366)(20, 368)(21, 346)(22, 331)(23, 373)(24, 367)(25, 333)(26, 359)(27, 352)(28, 335)(29, 381)(30, 364)(31, 360)(32, 386)(33, 358)(34, 338)(35, 378)(36, 339)(37, 383)(38, 395)(39, 343)(40, 384)(41, 398)(42, 363)(43, 375)(44, 369)(45, 344)(46, 404)(47, 376)(48, 407)(49, 374)(50, 347)(51, 348)(52, 406)(53, 397)(54, 350)(55, 415)(56, 385)(57, 382)(58, 353)(59, 394)(60, 354)(61, 417)(62, 387)(63, 356)(64, 426)(65, 392)(66, 430)(67, 428)(68, 429)(69, 424)(70, 361)(71, 396)(72, 362)(73, 413)(74, 399)(75, 365)(76, 441)(77, 402)(78, 442)(79, 444)(80, 405)(81, 370)(82, 371)(83, 408)(84, 372)(85, 452)(86, 411)(87, 454)(88, 443)(89, 377)(90, 433)(91, 416)(92, 379)(93, 380)(94, 463)(95, 422)(96, 467)(97, 465)(98, 466)(99, 439)(100, 434)(101, 473)(102, 427)(103, 388)(104, 432)(105, 389)(106, 431)(107, 390)(108, 391)(109, 458)(110, 393)(111, 470)(112, 475)(113, 400)(114, 478)(115, 471)(116, 481)(117, 437)(118, 401)(119, 455)(120, 445)(121, 403)(122, 485)(123, 449)(124, 460)(125, 476)(126, 456)(127, 462)(128, 453)(129, 409)(130, 410)(131, 412)(132, 479)(133, 483)(134, 414)(135, 446)(136, 461)(137, 448)(138, 472)(139, 464)(140, 418)(141, 469)(142, 419)(143, 468)(144, 420)(145, 421)(146, 482)(147, 423)(148, 451)(149, 474)(150, 425)(151, 477)(152, 447)(153, 436)(154, 480)(155, 450)(156, 438)(157, 484)(158, 435)(159, 486)(160, 440)(161, 459)(162, 457)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 135 e = 324 f = 135
	degree seq :: [ 4^81, 6^54 ]

E28.2707 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 15>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (Y2 * Y3^-1)^3, Y1 * Y2 * Y1 * Y3^2 * Y2^-1, (Y3^-1 * Y2^-1)^3, (R * Y2 * Y3^-1)^2, Y3^-2 * Y2^-1 * Y3^3 * Y2 * Y3^-1, (Y3^-1 * Y2 * Y1 * Y2^-1)^2, Y3^-1 * Y2 * Y3 * Y1 * Y2^-1 * Y3^2 * Y1, Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2 * Y3^2 * Y2, Y3^9 ]
Map:: polytopal non-degenerate
	R = (1, 163, 2, 164)(3, 165, 11, 173)(4, 166, 10, 172)(5, 167, 17, 179)(6, 168, 8, 170)(7, 169, 23, 185)(9, 171, 29, 191)(12, 174, 37, 199)(13, 175, 25, 187)(14, 176, 43, 205)(15, 177, 34, 196)(16, 178, 28, 190)(18, 180, 51, 213)(19, 181, 49, 211)(20, 182, 57, 219)(21, 183, 59, 221)(22, 184, 27, 189)(24, 186, 66, 228)(26, 188, 72, 234)(30, 192, 78, 240)(31, 193, 77, 239)(32, 194, 84, 246)(33, 195, 86, 248)(35, 197, 56, 218)(36, 198, 92, 254)(38, 200, 97, 259)(39, 201, 96, 258)(40, 202, 71, 233)(41, 203, 76, 238)(42, 204, 69, 231)(44, 206, 105, 267)(45, 207, 81, 243)(46, 208, 107, 269)(47, 209, 90, 252)(48, 210, 70, 232)(50, 212, 114, 276)(52, 214, 82, 244)(53, 215, 87, 249)(54, 216, 74, 236)(55, 217, 79, 241)(58, 220, 88, 250)(60, 222, 80, 242)(61, 223, 85, 247)(62, 224, 128, 290)(63, 225, 75, 237)(64, 226, 83, 245)(65, 227, 131, 293)(67, 229, 135, 297)(68, 230, 134, 296)(73, 235, 139, 301)(89, 251, 153, 315)(91, 253, 123, 285)(93, 255, 156, 318)(94, 256, 155, 317)(95, 257, 130, 292)(98, 260, 124, 286)(99, 261, 151, 313)(100, 262, 118, 280)(101, 263, 113, 275)(102, 264, 143, 305)(103, 265, 138, 300)(104, 266, 112, 274)(106, 268, 149, 311)(108, 270, 160, 322)(109, 271, 152, 314)(110, 272, 154, 316)(111, 273, 146, 308)(115, 277, 159, 321)(116, 278, 127, 289)(117, 279, 161, 323)(119, 281, 142, 304)(120, 282, 148, 310)(121, 283, 147, 309)(122, 284, 140, 302)(125, 287, 137, 299)(126, 288, 145, 307)(129, 291, 141, 303)(132, 294, 158, 320)(133, 295, 162, 324)(136, 298, 150, 312)(144, 306, 157, 319)(325, 487, 327, 489, 329, 491)(326, 488, 331, 493, 333, 495)(328, 490, 338, 500, 340, 502)(330, 492, 344, 506, 345, 507)(332, 494, 350, 512, 352, 514)(334, 496, 356, 518, 357, 519)(335, 497, 359, 521, 360, 522)(336, 498, 362, 524, 364, 526)(337, 499, 365, 527, 366, 528)(339, 501, 370, 532, 353, 515)(341, 503, 351, 513, 374, 536)(342, 504, 376, 538, 378, 540)(343, 505, 379, 541, 368, 530)(346, 508, 385, 547, 386, 548)(347, 509, 388, 550, 389, 551)(348, 510, 391, 553, 393, 555)(349, 511, 394, 556, 395, 557)(354, 516, 403, 565, 405, 567)(355, 517, 406, 568, 397, 559)(358, 520, 412, 574, 413, 575)(361, 523, 419, 581, 414, 576)(363, 525, 423, 585, 416, 578)(367, 529, 428, 590, 418, 580)(369, 531, 401, 563, 427, 589)(371, 533, 424, 586, 410, 572)(372, 534, 435, 597, 432, 594)(373, 535, 437, 599, 398, 560)(375, 537, 441, 603, 442, 604)(377, 539, 444, 606, 438, 600)(380, 542, 445, 607, 446, 608)(381, 543, 448, 610, 417, 579)(382, 544, 449, 611, 425, 587)(383, 545, 399, 561, 450, 612)(384, 546, 443, 605, 451, 613)(387, 549, 390, 552, 447, 609)(392, 554, 461, 623, 455, 617)(396, 558, 426, 588, 457, 619)(400, 562, 466, 628, 439, 601)(402, 564, 468, 630, 469, 631)(404, 566, 471, 633, 431, 593)(407, 569, 472, 634, 473, 635)(408, 570, 474, 636, 456, 618)(409, 571, 475, 637, 462, 624)(411, 573, 470, 632, 476, 638)(415, 577, 478, 640, 429, 591)(420, 582, 467, 629, 481, 643)(421, 583, 482, 644, 440, 602)(422, 584, 479, 641, 430, 592)(433, 595, 459, 621, 480, 642)(434, 596, 483, 645, 477, 639)(436, 598, 485, 647, 458, 620)(452, 614, 465, 627, 484, 646)(453, 615, 463, 625, 454, 616)(460, 622, 486, 648, 464, 626)
	L = (1, 328)(2, 332)(3, 336)(4, 339)(5, 342)(6, 325)(7, 348)(8, 351)(9, 354)(10, 326)(11, 349)(12, 363)(13, 327)(14, 368)(15, 371)(16, 365)(17, 373)(18, 377)(19, 329)(20, 382)(21, 384)(22, 330)(23, 337)(24, 392)(25, 331)(26, 397)(27, 399)(28, 394)(29, 401)(30, 404)(31, 333)(32, 409)(33, 411)(34, 334)(35, 415)(36, 417)(37, 335)(38, 345)(39, 424)(40, 379)(41, 426)(42, 427)(43, 405)(44, 430)(45, 338)(46, 432)(47, 434)(48, 340)(49, 359)(50, 439)(51, 341)(52, 366)(53, 410)(54, 344)(55, 435)(56, 343)(57, 398)(58, 433)(59, 421)(60, 402)(61, 408)(62, 436)(63, 346)(64, 454)(65, 456)(66, 347)(67, 357)(68, 450)(69, 406)(70, 428)(71, 437)(72, 378)(73, 464)(74, 350)(75, 465)(76, 352)(77, 388)(78, 353)(79, 395)(80, 383)(81, 356)(82, 466)(83, 355)(84, 369)(85, 440)(86, 459)(87, 375)(88, 381)(89, 467)(90, 358)(91, 460)(92, 479)(93, 462)(94, 360)(95, 407)(96, 361)(97, 448)(98, 362)(99, 449)(100, 469)(101, 364)(102, 477)(103, 480)(104, 452)(105, 367)(106, 483)(107, 476)(108, 446)(109, 370)(110, 453)(111, 468)(112, 372)(113, 482)(114, 451)(115, 473)(116, 374)(117, 471)(118, 420)(119, 376)(120, 457)(121, 485)(122, 463)(123, 380)(124, 419)(125, 386)(126, 442)(127, 385)(128, 461)(129, 387)(130, 422)(131, 486)(132, 425)(133, 389)(134, 390)(135, 474)(136, 391)(137, 475)(138, 393)(139, 396)(140, 484)(141, 478)(142, 441)(143, 400)(144, 444)(145, 458)(146, 403)(147, 418)(148, 481)(149, 429)(150, 447)(151, 413)(152, 412)(153, 423)(154, 414)(155, 445)(156, 416)(157, 470)(158, 455)(159, 438)(160, 431)(161, 443)(162, 472)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2699
Graph:: simple bipartite
	v = 135 e = 324 f = 135
	degree seq :: [ 4^81, 6^54 ]

E28.2708 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 15>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y2^-1 * Y1 * Y2 * Y1, (Y3 * Y2^-1)^3, R * Y1 * Y3 * R * Y1 * Y3^-1, (Y3^-1 * Y2^-1)^3, (Y3 * Y2^-1)^3, (R * Y2 * Y3^-1)^2, Y3^-1 * R * Y3 * Y2 * Y3 * Y2 * R * Y2^-1, Y3^3 * Y2 * Y3^-3 * Y2^-1, (Y2^-1 * Y3^-1 * Y2 * Y1)^2, R * Y3 * Y1 * Y2 * R * Y3^-2 * Y1 * Y2, Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2 * Y3^2 * Y2, Y1 * Y2^-1 * R * Y2 * Y1 * Y2^-1 * Y3 * R * Y2 ]
Map:: polyhedral non-degenerate
	R = (1, 163, 2, 164)(3, 165, 11, 173)(4, 166, 10, 172)(5, 167, 17, 179)(6, 168, 8, 170)(7, 169, 12, 174)(9, 171, 21, 183)(13, 175, 32, 194)(14, 176, 40, 202)(15, 177, 30, 192)(16, 178, 46, 208)(18, 180, 31, 193)(19, 181, 48, 210)(20, 182, 54, 216)(22, 184, 25, 187)(23, 185, 35, 197)(24, 186, 55, 217)(26, 188, 58, 220)(27, 189, 34, 196)(28, 190, 56, 218)(29, 191, 41, 203)(33, 195, 38, 200)(36, 198, 61, 223)(37, 199, 85, 247)(39, 201, 77, 239)(42, 204, 91, 253)(43, 205, 95, 257)(44, 206, 74, 236)(45, 207, 100, 262)(47, 209, 102, 264)(49, 211, 71, 233)(50, 212, 75, 237)(51, 213, 111, 273)(52, 214, 68, 230)(53, 215, 106, 268)(57, 219, 118, 280)(59, 221, 65, 227)(60, 222, 116, 278)(62, 224, 82, 244)(63, 225, 97, 259)(64, 226, 94, 256)(66, 228, 115, 277)(67, 229, 104, 266)(69, 231, 80, 242)(70, 232, 92, 254)(72, 234, 101, 263)(73, 235, 96, 258)(76, 238, 86, 248)(78, 240, 89, 251)(79, 241, 87, 249)(81, 243, 120, 282)(83, 245, 123, 285)(84, 246, 121, 283)(88, 250, 148, 310)(90, 252, 138, 300)(93, 255, 151, 313)(98, 260, 134, 296)(99, 261, 136, 298)(103, 265, 105, 267)(107, 269, 114, 276)(108, 270, 128, 290)(109, 271, 132, 294)(110, 272, 159, 321)(112, 274, 160, 322)(113, 275, 129, 291)(117, 279, 133, 295)(119, 281, 126, 288)(122, 284, 153, 315)(124, 286, 144, 306)(125, 287, 152, 314)(127, 289, 142, 304)(130, 292, 161, 323)(131, 293, 150, 312)(135, 297, 147, 309)(137, 299, 143, 305)(139, 301, 146, 308)(140, 302, 145, 307)(141, 303, 162, 324)(149, 311, 156, 318)(154, 316, 155, 317)(157, 319, 158, 320)(325, 487, 327, 489, 329, 491)(326, 488, 331, 493, 333, 495)(328, 490, 338, 500, 340, 502)(330, 492, 344, 506, 345, 507)(332, 494, 348, 510, 350, 512)(334, 496, 353, 515, 341, 503)(335, 497, 355, 517, 357, 519)(336, 498, 358, 520, 360, 522)(337, 499, 361, 523, 362, 524)(339, 501, 367, 529, 369, 531)(342, 504, 373, 535, 375, 537)(343, 505, 376, 538, 365, 527)(346, 508, 381, 543, 382, 544)(347, 509, 384, 546, 385, 547)(349, 511, 388, 550, 390, 552)(351, 513, 392, 554, 394, 556)(352, 514, 395, 557, 378, 540)(354, 516, 397, 559, 370, 532)(356, 518, 400, 562, 402, 564)(359, 521, 405, 567, 407, 569)(363, 525, 412, 574, 413, 575)(364, 526, 409, 571, 403, 565)(366, 528, 417, 579, 411, 573)(368, 530, 406, 568, 423, 585)(371, 533, 427, 589, 420, 582)(372, 534, 429, 591, 431, 593)(374, 536, 433, 595, 434, 596)(377, 539, 437, 599, 438, 600)(379, 541, 440, 602, 408, 570)(380, 542, 432, 594, 441, 603)(383, 545, 414, 576, 439, 601)(386, 548, 446, 608, 447, 609)(387, 549, 449, 611, 445, 607)(389, 551, 401, 563, 451, 613)(391, 553, 452, 614, 442, 604)(393, 555, 453, 615, 454, 616)(396, 558, 456, 618, 457, 619)(398, 560, 448, 610, 424, 586)(399, 561, 459, 621, 435, 597)(404, 566, 465, 627, 416, 578)(410, 572, 471, 633, 436, 598)(415, 577, 472, 634, 463, 625)(418, 580, 476, 638, 470, 632)(419, 581, 475, 637, 464, 626)(421, 583, 477, 639, 469, 631)(422, 584, 474, 636, 467, 629)(425, 587, 478, 640, 468, 630)(426, 588, 479, 641, 480, 642)(428, 590, 481, 643, 473, 635)(430, 592, 482, 644, 462, 624)(443, 605, 485, 647, 466, 628)(444, 606, 486, 648, 455, 617)(450, 612, 484, 646, 461, 623)(458, 620, 483, 645, 460, 622)
	L = (1, 328)(2, 332)(3, 336)(4, 339)(5, 342)(6, 325)(7, 335)(8, 349)(9, 351)(10, 326)(11, 356)(12, 359)(13, 327)(14, 365)(15, 368)(16, 361)(17, 372)(18, 374)(19, 329)(20, 379)(21, 380)(22, 330)(23, 331)(24, 378)(25, 389)(26, 384)(27, 393)(28, 333)(29, 364)(30, 334)(31, 341)(32, 401)(33, 395)(34, 345)(35, 406)(36, 376)(37, 410)(38, 411)(39, 337)(40, 415)(41, 416)(42, 338)(43, 420)(44, 422)(45, 417)(46, 426)(47, 340)(48, 430)(49, 362)(50, 423)(51, 344)(52, 427)(53, 343)(54, 435)(55, 421)(56, 425)(57, 418)(58, 428)(59, 346)(60, 444)(61, 445)(62, 347)(63, 348)(64, 442)(65, 450)(66, 449)(67, 350)(68, 385)(69, 451)(70, 353)(71, 452)(72, 352)(73, 419)(74, 354)(75, 355)(76, 409)(77, 462)(78, 459)(79, 357)(80, 358)(81, 440)(82, 468)(83, 465)(84, 360)(85, 370)(86, 467)(87, 469)(88, 466)(89, 470)(90, 363)(91, 388)(92, 474)(93, 412)(94, 366)(95, 387)(96, 438)(97, 367)(98, 443)(99, 477)(100, 396)(101, 369)(102, 391)(103, 478)(104, 371)(105, 392)(106, 390)(107, 397)(108, 373)(109, 471)(110, 441)(111, 484)(112, 375)(113, 481)(114, 485)(115, 377)(116, 382)(117, 381)(118, 457)(119, 383)(120, 461)(121, 463)(122, 460)(123, 464)(124, 386)(125, 446)(126, 458)(127, 472)(128, 482)(129, 486)(130, 431)(131, 394)(132, 479)(133, 483)(134, 398)(135, 456)(136, 399)(137, 400)(138, 480)(139, 402)(140, 403)(141, 437)(142, 404)(143, 405)(144, 473)(145, 407)(146, 408)(147, 413)(148, 475)(149, 414)(150, 434)(151, 424)(152, 439)(153, 476)(154, 433)(155, 429)(156, 448)(157, 432)(158, 453)(159, 455)(160, 454)(161, 436)(162, 447)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2701
Graph:: simple bipartite
	v = 135 e = 324 f = 135
	degree seq :: [ 4^81, 6^54 ]

E28.2709 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 15>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^3, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^3, Y2 * Y1 * Y2 * Y3 * Y2 * Y3^-2 * Y1, R * Y3 * Y1 * Y2 * R * Y2^-1 * Y1 * Y2^-1, Y3^-1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2 * Y3^-1, (Y2 * Y3^-1 * Y2^-1 * Y1)^2, Y2^-1 * Y1 * Y2 * Y3^2 * Y1 * Y3^-2, Y3^-1 * Y2^-1 * Y3^3 * Y2 * Y3^-2, Y2 * Y1 * Y3^-1 * Y2^-1 * Y3^-2 * Y1 * Y3, (Y2^-1 * Y3^-1 * Y2 * Y1)^2, Y2 * Y3^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1, Y1 * Y3 * Y2^-1 * Y3^2 * Y1 * Y2^-1 * Y3 * Y2^-1, R * Y2 * Y3^-2 * Y2 * Y3^-1 * Y2^-1 * R * Y2, Y2 * R * Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * R ]
Map:: polyhedral non-degenerate
	R = (1, 163, 2, 164)(3, 165, 11, 173)(4, 166, 10, 172)(5, 167, 17, 179)(6, 168, 8, 170)(7, 169, 23, 185)(9, 171, 29, 191)(12, 174, 38, 200)(13, 175, 36, 198)(14, 176, 45, 207)(15, 177, 34, 196)(16, 178, 51, 213)(18, 180, 56, 218)(19, 181, 54, 216)(20, 182, 62, 224)(21, 183, 64, 226)(22, 184, 27, 189)(24, 186, 72, 234)(25, 187, 70, 232)(26, 188, 79, 241)(28, 190, 85, 247)(30, 192, 90, 252)(31, 193, 88, 250)(32, 194, 96, 258)(33, 195, 98, 260)(35, 197, 103, 265)(37, 199, 107, 269)(39, 201, 95, 257)(40, 202, 74, 236)(41, 203, 77, 239)(42, 204, 114, 276)(43, 205, 75, 237)(44, 206, 105, 267)(46, 208, 82, 244)(47, 209, 119, 281)(48, 210, 80, 242)(49, 211, 102, 264)(50, 212, 110, 272)(52, 214, 127, 289)(53, 215, 124, 286)(55, 217, 122, 284)(57, 219, 94, 256)(58, 220, 135, 297)(59, 221, 138, 300)(60, 222, 91, 253)(61, 223, 73, 235)(63, 225, 128, 290)(65, 227, 143, 305)(66, 228, 133, 295)(67, 229, 101, 263)(68, 230, 83, 245)(69, 231, 145, 307)(71, 233, 106, 268)(76, 238, 115, 277)(78, 240, 118, 280)(81, 243, 141, 303)(84, 246, 125, 287)(86, 248, 111, 273)(87, 249, 126, 288)(89, 251, 149, 311)(92, 254, 121, 283)(93, 255, 144, 306)(97, 259, 151, 313)(99, 261, 156, 318)(100, 262, 139, 301)(104, 266, 142, 304)(108, 270, 140, 302)(109, 271, 136, 298)(112, 274, 134, 296)(113, 275, 148, 310)(116, 278, 147, 309)(117, 279, 146, 308)(120, 282, 150, 312)(123, 285, 132, 294)(129, 291, 153, 315)(130, 292, 155, 317)(131, 293, 160, 322)(137, 299, 154, 316)(152, 314, 158, 320)(157, 319, 161, 323)(159, 321, 162, 324)(325, 487, 327, 489, 329, 491)(326, 488, 331, 493, 333, 495)(328, 490, 338, 500, 340, 502)(330, 492, 344, 506, 345, 507)(332, 494, 350, 512, 352, 514)(334, 496, 356, 518, 357, 519)(335, 497, 359, 521, 361, 523)(336, 498, 363, 525, 365, 527)(337, 499, 366, 528, 367, 529)(339, 501, 372, 534, 374, 536)(341, 503, 377, 539, 379, 541)(342, 504, 381, 543, 383, 545)(343, 505, 384, 546, 370, 532)(346, 508, 390, 552, 391, 553)(347, 509, 393, 555, 395, 557)(348, 510, 397, 559, 399, 561)(349, 511, 400, 562, 401, 563)(351, 513, 406, 568, 408, 570)(353, 515, 411, 573, 413, 575)(354, 516, 415, 577, 417, 579)(355, 517, 418, 580, 404, 566)(358, 520, 424, 586, 425, 587)(360, 522, 428, 590, 430, 592)(362, 524, 434, 596, 407, 569)(364, 526, 435, 597, 436, 598)(368, 530, 414, 576, 441, 603)(369, 531, 410, 572, 433, 595)(371, 533, 445, 607, 440, 602)(373, 535, 396, 558, 449, 611)(375, 537, 450, 612, 452, 614)(376, 538, 453, 615, 403, 565)(378, 540, 455, 617, 456, 618)(380, 542, 458, 620, 402, 564)(382, 544, 461, 623, 420, 582)(385, 547, 464, 626, 465, 627)(386, 548, 416, 578, 432, 594)(387, 549, 466, 628, 437, 599)(388, 550, 426, 588, 429, 591)(389, 551, 460, 622, 468, 630)(392, 554, 442, 604, 422, 584)(394, 556, 454, 616, 431, 593)(398, 560, 451, 613, 470, 632)(405, 567, 459, 621, 472, 634)(409, 571, 448, 610, 475, 637)(412, 574, 476, 638, 444, 606)(419, 581, 478, 640, 443, 605)(421, 583, 479, 641, 471, 633)(423, 585, 477, 639, 462, 624)(427, 589, 481, 643, 447, 609)(438, 600, 482, 644, 457, 619)(439, 601, 484, 646, 463, 625)(446, 608, 480, 642, 483, 645)(467, 629, 485, 647, 473, 635)(469, 631, 486, 648, 474, 636)
	L = (1, 328)(2, 332)(3, 336)(4, 339)(5, 342)(6, 325)(7, 348)(8, 351)(9, 354)(10, 326)(11, 360)(12, 364)(13, 327)(14, 370)(15, 373)(16, 366)(17, 378)(18, 382)(19, 329)(20, 387)(21, 389)(22, 330)(23, 394)(24, 398)(25, 331)(26, 404)(27, 407)(28, 400)(29, 412)(30, 416)(31, 333)(32, 421)(33, 423)(34, 334)(35, 408)(36, 429)(37, 432)(38, 335)(39, 345)(40, 396)(41, 384)(42, 439)(43, 440)(44, 337)(45, 443)(46, 444)(47, 338)(48, 403)(49, 448)(50, 445)(51, 451)(52, 340)(53, 426)(54, 397)(55, 457)(56, 341)(57, 367)(58, 449)(59, 344)(60, 453)(61, 343)(62, 462)(63, 447)(64, 419)(65, 393)(66, 446)(67, 454)(68, 346)(69, 374)(70, 442)(71, 461)(72, 347)(73, 357)(74, 362)(75, 418)(76, 438)(77, 472)(78, 349)(79, 465)(80, 456)(81, 350)(82, 369)(83, 450)(84, 459)(85, 435)(86, 352)(87, 392)(88, 363)(89, 463)(90, 353)(91, 401)(92, 434)(93, 356)(94, 433)(95, 355)(96, 468)(97, 474)(98, 385)(99, 359)(100, 473)(101, 428)(102, 358)(103, 480)(104, 410)(105, 402)(106, 477)(107, 460)(108, 482)(109, 361)(110, 469)(111, 466)(112, 476)(113, 365)(114, 375)(115, 409)(116, 481)(117, 483)(118, 368)(119, 379)(120, 475)(121, 414)(122, 371)(123, 372)(124, 411)(125, 427)(126, 377)(127, 479)(128, 386)(129, 395)(130, 376)(131, 478)(132, 452)(133, 417)(134, 485)(135, 380)(136, 381)(137, 484)(138, 424)(139, 383)(140, 431)(141, 413)(142, 391)(143, 388)(144, 390)(145, 467)(146, 455)(147, 399)(148, 486)(149, 405)(150, 406)(151, 420)(152, 464)(153, 415)(154, 430)(155, 425)(156, 422)(157, 436)(158, 458)(159, 437)(160, 441)(161, 471)(162, 470)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2700
Graph:: simple bipartite
	v = 135 e = 324 f = 135
	degree seq :: [ 4^81, 6^54 ]

E28.2710 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 15>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^3, Y1 * Y2^-1 * Y1 * Y3^2 * Y2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y2^-1)^3, Y1 * Y3^-1 * Y2 * Y3^3 * Y1 * Y2^-1, Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y3 * Y2^-1 * Y1, (Y1 * Y2 * Y3^-1 * Y2^-1)^2, Y3^9 ]
Map:: polyhedral non-degenerate
	R = (1, 163, 2, 164)(3, 165, 11, 173)(4, 166, 10, 172)(5, 167, 17, 179)(6, 168, 8, 170)(7, 169, 23, 185)(9, 171, 29, 191)(12, 174, 37, 199)(13, 175, 36, 198)(14, 176, 26, 188)(15, 177, 34, 196)(16, 178, 48, 210)(18, 180, 52, 214)(19, 181, 31, 193)(20, 182, 57, 219)(21, 183, 59, 221)(22, 184, 27, 189)(24, 186, 65, 227)(25, 187, 64, 226)(28, 190, 75, 237)(30, 192, 79, 241)(32, 194, 84, 246)(33, 195, 86, 248)(35, 197, 91, 253)(38, 200, 76, 238)(39, 201, 85, 247)(40, 202, 70, 232)(41, 203, 99, 261)(42, 204, 68, 230)(43, 205, 51, 213)(44, 206, 73, 235)(45, 207, 72, 234)(46, 208, 90, 252)(47, 209, 110, 272)(49, 211, 66, 228)(50, 212, 115, 277)(53, 215, 83, 245)(54, 216, 119, 281)(55, 217, 122, 284)(56, 218, 80, 242)(58, 220, 67, 229)(60, 222, 89, 251)(61, 223, 128, 290)(62, 224, 87, 249)(63, 225, 74, 236)(69, 231, 134, 296)(71, 233, 78, 240)(77, 239, 142, 304)(81, 243, 145, 307)(82, 244, 148, 310)(88, 250, 153, 315)(92, 254, 155, 317)(93, 255, 125, 287)(94, 256, 120, 282)(95, 257, 109, 271)(96, 258, 157, 319)(97, 259, 138, 300)(98, 260, 136, 298)(100, 262, 137, 299)(101, 263, 133, 295)(102, 264, 135, 297)(103, 265, 132, 294)(104, 266, 117, 279)(105, 267, 139, 301)(106, 268, 159, 321)(107, 269, 113, 275)(108, 270, 154, 316)(111, 273, 150, 312)(112, 274, 158, 320)(114, 276, 146, 308)(116, 278, 160, 322)(118, 280, 144, 306)(121, 283, 152, 314)(123, 285, 126, 288)(124, 286, 130, 292)(127, 289, 147, 309)(129, 291, 140, 302)(131, 293, 161, 323)(141, 303, 162, 324)(143, 305, 156, 318)(149, 311, 151, 313)(325, 487, 327, 489, 329, 491)(326, 488, 331, 493, 333, 495)(328, 490, 338, 500, 340, 502)(330, 492, 344, 506, 345, 507)(332, 494, 350, 512, 352, 514)(334, 496, 356, 518, 357, 519)(335, 497, 359, 521, 351, 513)(336, 498, 362, 524, 364, 526)(337, 499, 365, 527, 366, 528)(339, 501, 347, 509, 371, 533)(341, 503, 374, 536, 375, 537)(342, 504, 377, 539, 379, 541)(343, 505, 380, 542, 368, 530)(346, 508, 385, 547, 386, 548)(348, 510, 390, 552, 392, 554)(349, 511, 393, 555, 394, 556)(353, 515, 401, 563, 402, 564)(354, 516, 404, 566, 406, 568)(355, 517, 407, 569, 396, 558)(358, 520, 412, 574, 413, 575)(360, 522, 400, 562, 418, 580)(361, 523, 419, 581, 420, 582)(363, 525, 415, 577, 421, 583)(367, 529, 426, 588, 427, 589)(369, 531, 430, 592, 425, 587)(370, 532, 408, 570, 433, 595)(372, 534, 436, 598, 437, 599)(373, 535, 438, 600, 388, 550)(376, 538, 414, 576, 442, 604)(378, 540, 439, 601, 445, 607)(381, 543, 448, 610, 398, 560)(382, 544, 449, 611, 422, 584)(383, 545, 440, 602, 450, 612)(384, 546, 444, 606, 451, 613)(387, 549, 428, 590, 403, 565)(389, 551, 454, 616, 455, 617)(391, 553, 434, 596, 456, 618)(395, 557, 461, 623, 462, 624)(397, 559, 416, 578, 460, 622)(399, 561, 465, 627, 429, 591)(405, 567, 466, 628, 471, 633)(409, 571, 474, 636, 457, 619)(410, 572, 467, 629, 475, 637)(411, 573, 470, 632, 476, 638)(417, 579, 480, 642, 446, 608)(423, 585, 478, 640, 441, 603)(424, 586, 482, 644, 447, 609)(431, 593, 469, 631, 481, 643)(432, 594, 477, 639, 479, 641)(435, 597, 484, 646, 472, 634)(443, 605, 485, 647, 463, 625)(452, 614, 483, 645, 464, 626)(453, 615, 468, 630, 458, 620)(459, 621, 486, 648, 473, 635)
	L = (1, 328)(2, 332)(3, 336)(4, 339)(5, 342)(6, 325)(7, 348)(8, 351)(9, 354)(10, 326)(11, 360)(12, 363)(13, 327)(14, 368)(15, 370)(16, 365)(17, 355)(18, 378)(19, 329)(20, 382)(21, 384)(22, 330)(23, 388)(24, 391)(25, 331)(26, 396)(27, 398)(28, 393)(29, 343)(30, 405)(31, 333)(32, 409)(33, 411)(34, 334)(35, 416)(36, 375)(37, 335)(38, 345)(39, 408)(40, 380)(41, 424)(42, 425)(43, 337)(44, 429)(45, 338)(46, 432)(47, 430)(48, 390)(49, 340)(50, 440)(51, 441)(52, 341)(53, 366)(54, 433)(55, 344)(56, 438)(57, 446)(58, 389)(59, 400)(60, 435)(61, 431)(62, 410)(63, 346)(64, 402)(65, 347)(66, 357)(67, 381)(68, 407)(69, 459)(70, 460)(71, 349)(72, 437)(73, 350)(74, 464)(75, 362)(76, 352)(77, 467)(78, 468)(79, 353)(80, 394)(81, 448)(82, 356)(83, 418)(84, 472)(85, 361)(86, 373)(87, 417)(88, 463)(89, 383)(90, 358)(91, 449)(92, 461)(93, 359)(94, 480)(95, 443)(96, 456)(97, 465)(98, 364)(99, 372)(100, 479)(101, 455)(102, 458)(103, 481)(104, 367)(105, 477)(106, 426)(107, 369)(108, 453)(109, 454)(110, 474)(111, 371)(112, 374)(113, 452)(114, 484)(115, 482)(116, 470)(117, 473)(118, 395)(119, 376)(120, 377)(121, 451)(122, 450)(123, 379)(124, 419)(125, 386)(126, 442)(127, 385)(128, 471)(129, 387)(130, 469)(131, 421)(132, 436)(133, 392)(134, 399)(135, 483)(136, 420)(137, 423)(138, 485)(139, 397)(140, 478)(141, 401)(142, 486)(143, 444)(144, 447)(145, 403)(146, 404)(147, 476)(148, 475)(149, 406)(150, 413)(151, 428)(152, 412)(153, 445)(154, 414)(155, 415)(156, 466)(157, 422)(158, 427)(159, 434)(160, 439)(161, 457)(162, 462)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2712
Graph:: simple bipartite
	v = 135 e = 324 f = 135
	degree seq :: [ 4^81, 6^54 ]

E28.2711 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 15>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y2 * Y1 * Y2^-1, (Y3 * Y2^-1)^3, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y2^-1)^3, Y3^-3 * Y2^-1 * Y3^3 * Y2, (Y2 * Y3 * Y2^-1 * Y1)^2, Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2 * Y3^2 * Y2, Y1 * Y2 * R * Y3^-1 * Y2^-1 * Y1 * Y2 * R * Y2^-1, Y3^9 ]
Map:: polyhedral non-degenerate
	R = (1, 163, 2, 164)(3, 165, 11, 173)(4, 166, 10, 172)(5, 167, 17, 179)(6, 168, 8, 170)(7, 169, 20, 182)(9, 171, 18, 180)(12, 174, 32, 194)(13, 175, 31, 193)(14, 176, 39, 201)(15, 177, 30, 192)(16, 178, 45, 207)(19, 181, 48, 210)(21, 183, 55, 217)(22, 184, 26, 188)(23, 185, 51, 213)(24, 186, 54, 216)(25, 187, 57, 219)(27, 189, 56, 218)(28, 190, 50, 212)(29, 191, 36, 198)(33, 195, 79, 241)(34, 196, 78, 240)(35, 197, 63, 225)(37, 199, 62, 224)(38, 200, 76, 238)(40, 202, 91, 253)(41, 203, 90, 252)(42, 204, 95, 257)(43, 205, 74, 236)(44, 206, 100, 262)(46, 208, 103, 265)(47, 209, 52, 214)(49, 211, 71, 233)(53, 215, 107, 269)(58, 220, 118, 280)(59, 221, 68, 230)(60, 222, 85, 247)(61, 223, 112, 274)(64, 226, 97, 259)(65, 227, 117, 279)(66, 228, 94, 256)(67, 229, 89, 251)(69, 231, 105, 267)(70, 232, 101, 263)(72, 234, 99, 261)(73, 235, 93, 255)(75, 237, 87, 249)(77, 239, 86, 248)(80, 242, 140, 302)(81, 243, 143, 305)(82, 244, 139, 301)(83, 245, 126, 288)(84, 246, 124, 286)(88, 250, 123, 285)(92, 254, 108, 270)(96, 258, 153, 315)(98, 260, 134, 296)(102, 264, 104, 266)(106, 268, 113, 275)(109, 271, 130, 292)(110, 272, 131, 293)(111, 273, 127, 289)(114, 276, 158, 320)(115, 277, 135, 297)(116, 278, 125, 287)(119, 281, 129, 291)(120, 282, 144, 306)(121, 283, 142, 304)(122, 284, 161, 323)(128, 290, 149, 311)(132, 294, 145, 307)(133, 295, 154, 316)(136, 298, 147, 309)(137, 299, 146, 308)(138, 300, 141, 303)(148, 310, 162, 324)(150, 312, 152, 314)(151, 313, 160, 322)(155, 317, 156, 318)(157, 319, 159, 321)(325, 487, 327, 489, 329, 491)(326, 488, 331, 493, 333, 495)(328, 490, 338, 500, 340, 502)(330, 492, 344, 506, 345, 507)(332, 494, 349, 511, 351, 513)(334, 496, 335, 497, 353, 515)(336, 498, 357, 519, 359, 521)(337, 499, 360, 522, 361, 523)(339, 501, 366, 528, 368, 530)(341, 503, 371, 533, 356, 518)(342, 504, 373, 535, 375, 537)(343, 505, 376, 538, 364, 526)(346, 508, 381, 543, 382, 544)(347, 509, 384, 546, 386, 548)(348, 510, 379, 541, 387, 549)(350, 512, 391, 553, 393, 555)(352, 514, 395, 557, 389, 551)(354, 516, 363, 525, 397, 559)(355, 517, 399, 561, 401, 563)(358, 520, 405, 567, 407, 569)(362, 524, 411, 573, 412, 574)(365, 527, 417, 579, 410, 572)(367, 529, 406, 568, 423, 585)(369, 531, 426, 588, 415, 577)(370, 532, 428, 590, 420, 582)(372, 534, 430, 592, 432, 594)(374, 536, 434, 596, 435, 597)(377, 539, 437, 599, 438, 600)(378, 540, 440, 602, 408, 570)(380, 542, 433, 595, 441, 603)(383, 545, 413, 575, 439, 601)(385, 547, 445, 607, 447, 609)(388, 550, 449, 611, 450, 612)(390, 552, 442, 604, 448, 610)(392, 554, 446, 608, 431, 593)(394, 556, 454, 616, 452, 614)(396, 558, 455, 617, 456, 618)(398, 560, 419, 581, 457, 619)(400, 562, 459, 621, 460, 622)(402, 564, 403, 565, 462, 624)(404, 566, 465, 627, 416, 578)(409, 571, 472, 634, 436, 598)(414, 576, 474, 636, 461, 623)(418, 580, 476, 638, 471, 633)(421, 583, 478, 640, 470, 632)(422, 584, 475, 637, 468, 630)(424, 586, 479, 641, 477, 639)(425, 587, 480, 642, 469, 631)(427, 589, 481, 643, 482, 644)(429, 591, 483, 645, 473, 635)(443, 605, 485, 647, 466, 628)(444, 606, 486, 648, 451, 613)(453, 615, 484, 646, 464, 626)(458, 620, 463, 625, 467, 629)
	L = (1, 328)(2, 332)(3, 336)(4, 339)(5, 342)(6, 325)(7, 347)(8, 350)(9, 341)(10, 326)(11, 355)(12, 358)(13, 327)(14, 364)(15, 367)(16, 360)(17, 372)(18, 374)(19, 329)(20, 378)(21, 380)(22, 330)(23, 385)(24, 331)(25, 389)(26, 392)(27, 379)(28, 333)(29, 369)(30, 334)(31, 400)(32, 335)(33, 345)(34, 406)(35, 376)(36, 409)(37, 410)(38, 337)(39, 414)(40, 416)(41, 338)(42, 420)(43, 422)(44, 417)(45, 427)(46, 340)(47, 387)(48, 431)(49, 361)(50, 423)(51, 344)(52, 428)(53, 343)(54, 421)(55, 403)(56, 425)(57, 418)(58, 429)(59, 346)(60, 353)(61, 446)(62, 395)(63, 448)(64, 348)(65, 451)(66, 349)(67, 452)(68, 453)(69, 442)(70, 351)(71, 454)(72, 352)(73, 424)(74, 354)(75, 397)(76, 391)(77, 386)(78, 356)(79, 464)(80, 357)(81, 440)(82, 469)(83, 465)(84, 359)(85, 468)(86, 470)(87, 466)(88, 471)(89, 362)(90, 390)(91, 363)(92, 475)(93, 411)(94, 365)(95, 388)(96, 438)(97, 366)(98, 443)(99, 478)(100, 394)(101, 368)(102, 371)(103, 393)(104, 480)(105, 370)(106, 462)(107, 459)(108, 415)(109, 373)(110, 472)(111, 441)(112, 375)(113, 483)(114, 485)(115, 377)(116, 382)(117, 381)(118, 449)(119, 383)(120, 384)(121, 399)(122, 482)(123, 486)(124, 460)(125, 467)(126, 461)(127, 484)(128, 456)(129, 458)(130, 481)(131, 479)(132, 463)(133, 396)(134, 398)(135, 474)(136, 447)(137, 401)(138, 450)(139, 402)(140, 445)(141, 437)(142, 404)(143, 444)(144, 405)(145, 473)(146, 407)(147, 408)(148, 412)(149, 413)(150, 457)(151, 435)(152, 439)(153, 419)(154, 476)(155, 426)(156, 434)(157, 430)(158, 477)(159, 433)(160, 432)(161, 436)(162, 455)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 135 e = 324 f = 135
	degree seq :: [ 4^81, 6^54 ]

E28.2712 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 15>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y1 * Y3^-1)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y2^-1)^3, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y3^4 * Y1 * Y2 * Y1 * Y2^-1, Y1 * Y3^2 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1, Y2 * Y3 * Y1 * Y2 * Y3^2 * Y2 * Y1, Y3^-1 * Y1 * Y2 * R * Y3 * Y2 * Y1 * R, Y3^-1 * Y2^-1 * Y3^3 * Y2 * Y3^-2, R * Y2^-1 * Y1 * Y2^-1 * R * Y2 * Y1 * Y3^-1, (Y2 * Y3^-1 * Y2^-1 * Y1)^2, Y2 * Y1 * Y3^3 * Y2^-1 * Y1 * Y3^-1, (Y3 * Y2 * Y1 * Y2^-1)^2, Y1 * Y3^-2 * Y2^-1 * Y1 * Y3^2 * Y2 * Y3, Y1 * Y3 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1, Y3^-1 * Y1 * Y2 * Y1 * Y3 * Y2 * Y3^-2 * Y2 ]
Map:: polyhedral non-degenerate
	R = (1, 163, 2, 164)(3, 165, 11, 173)(4, 166, 10, 172)(5, 167, 17, 179)(6, 168, 8, 170)(7, 169, 23, 185)(9, 171, 29, 191)(12, 174, 38, 200)(13, 175, 36, 198)(14, 176, 45, 207)(15, 177, 34, 196)(16, 178, 51, 213)(18, 180, 56, 218)(19, 181, 54, 216)(20, 182, 62, 224)(21, 183, 64, 226)(22, 184, 27, 189)(24, 186, 72, 234)(25, 187, 70, 232)(26, 188, 79, 241)(28, 190, 85, 247)(30, 192, 90, 252)(31, 193, 88, 250)(32, 194, 96, 258)(33, 195, 98, 260)(35, 197, 103, 265)(37, 199, 108, 270)(39, 201, 112, 274)(40, 202, 111, 273)(41, 203, 77, 239)(42, 204, 84, 246)(43, 205, 75, 237)(44, 206, 93, 255)(46, 208, 123, 285)(47, 209, 122, 284)(48, 210, 126, 288)(49, 211, 102, 264)(50, 212, 76, 238)(52, 214, 105, 267)(53, 215, 131, 293)(55, 217, 136, 298)(57, 219, 94, 256)(58, 220, 92, 254)(59, 221, 78, 240)(60, 222, 91, 253)(61, 223, 134, 296)(63, 225, 142, 304)(65, 227, 121, 283)(66, 228, 100, 262)(67, 229, 104, 266)(68, 230, 83, 245)(69, 231, 145, 307)(71, 233, 109, 271)(73, 235, 143, 305)(74, 236, 127, 289)(80, 242, 124, 286)(81, 243, 139, 301)(82, 244, 114, 276)(86, 248, 119, 281)(87, 249, 133, 295)(89, 251, 152, 314)(95, 257, 141, 303)(97, 259, 155, 317)(99, 261, 149, 311)(101, 263, 113, 275)(106, 268, 128, 290)(107, 269, 159, 321)(110, 272, 138, 300)(115, 277, 148, 310)(116, 278, 129, 291)(117, 279, 150, 312)(118, 280, 147, 309)(120, 282, 132, 294)(125, 287, 156, 318)(130, 292, 153, 315)(135, 297, 144, 306)(137, 299, 151, 313)(140, 302, 154, 316)(146, 308, 158, 320)(157, 319, 162, 324)(160, 322, 161, 323)(325, 487, 327, 489, 329, 491)(326, 488, 331, 493, 333, 495)(328, 490, 338, 500, 340, 502)(330, 492, 344, 506, 345, 507)(332, 494, 350, 512, 352, 514)(334, 496, 356, 518, 357, 519)(335, 497, 359, 521, 361, 523)(336, 498, 363, 525, 365, 527)(337, 499, 366, 528, 367, 529)(339, 501, 372, 534, 374, 536)(341, 503, 377, 539, 379, 541)(342, 504, 381, 543, 383, 545)(343, 505, 384, 546, 370, 532)(346, 508, 390, 552, 391, 553)(347, 509, 393, 555, 395, 557)(348, 510, 397, 559, 399, 561)(349, 511, 400, 562, 401, 563)(351, 513, 406, 568, 408, 570)(353, 515, 411, 573, 413, 575)(354, 516, 415, 577, 417, 579)(355, 517, 418, 580, 404, 566)(358, 520, 424, 586, 425, 587)(360, 522, 430, 592, 431, 593)(362, 524, 419, 581, 434, 596)(364, 526, 422, 584, 439, 601)(368, 530, 443, 605, 444, 606)(369, 531, 445, 607, 433, 595)(371, 533, 409, 571, 442, 604)(373, 535, 438, 600, 414, 576)(375, 537, 453, 615, 405, 567)(376, 538, 454, 616, 451, 613)(378, 540, 457, 619, 459, 621)(380, 542, 407, 569, 450, 612)(382, 544, 462, 624, 463, 625)(385, 547, 464, 626, 396, 558)(386, 548, 458, 620, 426, 588)(387, 549, 467, 629, 440, 602)(388, 550, 456, 618, 398, 560)(389, 551, 461, 623, 468, 630)(392, 554, 420, 582, 465, 627)(394, 556, 441, 603, 470, 632)(402, 564, 429, 591, 472, 634)(403, 565, 473, 635, 432, 594)(410, 572, 475, 637, 435, 597)(412, 574, 455, 617, 449, 611)(416, 578, 478, 640, 446, 608)(421, 583, 436, 598, 471, 633)(423, 585, 477, 639, 480, 642)(427, 589, 481, 643, 479, 641)(428, 590, 482, 644, 447, 609)(437, 599, 483, 645, 448, 610)(452, 614, 485, 647, 460, 622)(466, 628, 469, 631, 484, 646)(474, 636, 486, 648, 476, 638)
	L = (1, 328)(2, 332)(3, 336)(4, 339)(5, 342)(6, 325)(7, 348)(8, 351)(9, 354)(10, 326)(11, 360)(12, 364)(13, 327)(14, 370)(15, 373)(16, 366)(17, 378)(18, 382)(19, 329)(20, 387)(21, 389)(22, 330)(23, 394)(24, 398)(25, 331)(26, 404)(27, 407)(28, 400)(29, 412)(30, 416)(31, 333)(32, 421)(33, 423)(34, 334)(35, 428)(36, 417)(37, 426)(38, 335)(39, 345)(40, 438)(41, 384)(42, 441)(43, 442)(44, 337)(45, 446)(46, 448)(47, 338)(48, 451)(49, 432)(50, 409)(51, 429)(52, 340)(53, 456)(54, 458)(55, 406)(56, 341)(57, 367)(58, 414)(59, 344)(60, 454)(61, 343)(62, 402)(63, 413)(64, 436)(65, 452)(66, 449)(67, 427)(68, 346)(69, 437)(70, 383)(71, 392)(72, 347)(73, 357)(74, 450)(75, 418)(76, 430)(77, 453)(78, 349)(79, 463)(80, 447)(81, 350)(82, 435)(83, 433)(84, 375)(85, 443)(86, 352)(87, 439)(88, 465)(89, 372)(90, 353)(91, 401)(92, 380)(93, 356)(94, 475)(95, 355)(96, 368)(97, 379)(98, 467)(99, 474)(100, 459)(101, 469)(102, 358)(103, 376)(104, 397)(105, 359)(106, 445)(107, 472)(108, 395)(109, 361)(110, 484)(111, 362)(112, 425)(113, 363)(114, 460)(115, 483)(116, 365)(117, 473)(118, 411)(119, 393)(120, 455)(121, 388)(122, 480)(123, 369)(124, 403)(125, 371)(126, 476)(127, 396)(128, 374)(129, 377)(130, 485)(131, 440)(132, 482)(133, 471)(134, 419)(135, 405)(136, 479)(137, 381)(138, 470)(139, 468)(140, 481)(141, 385)(142, 386)(143, 391)(144, 390)(145, 410)(146, 444)(147, 399)(148, 457)(149, 422)(150, 408)(151, 486)(152, 466)(153, 415)(154, 431)(155, 420)(156, 424)(157, 461)(158, 434)(159, 464)(160, 477)(161, 462)(162, 478)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2710
Graph:: simple bipartite
	v = 135 e = 324 f = 135
	degree seq :: [ 4^81, 6^54 ]

E28.2713 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 15>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y2 * Y3^2, Y1^3, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (Y3 * Y1)^2, (Y2^-1 * Y1)^3, (Y1 * Y2 * Y1 * Y2 * Y1 * Y3)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 163, 2, 164, 5, 167)(3, 165, 12, 174, 13, 175)(4, 166, 15, 177, 16, 178)(6, 168, 20, 182, 21, 183)(7, 169, 22, 184, 9, 171)(8, 170, 23, 185, 24, 186)(10, 172, 26, 188, 27, 189)(11, 173, 28, 190, 18, 180)(14, 176, 35, 197, 30, 192)(17, 179, 40, 202, 38, 200)(19, 181, 41, 203, 42, 204)(25, 187, 54, 216, 49, 211)(29, 191, 59, 221, 60, 222)(31, 193, 44, 206, 62, 224)(32, 194, 63, 225, 33, 195)(34, 196, 64, 226, 65, 227)(36, 198, 67, 229, 68, 230)(37, 199, 69, 231, 45, 207)(39, 201, 70, 232, 71, 233)(43, 205, 77, 239, 78, 240)(46, 208, 79, 241, 80, 242)(47, 209, 81, 243, 56, 218)(48, 210, 82, 244, 83, 245)(50, 212, 55, 217, 85, 247)(51, 213, 86, 248, 52, 214)(53, 215, 87, 249, 88, 250)(57, 219, 90, 252, 91, 253)(58, 220, 92, 254, 75, 237)(61, 223, 99, 261, 94, 256)(66, 228, 106, 268, 101, 263)(72, 234, 114, 276, 112, 274)(73, 235, 74, 236, 115, 277)(76, 238, 116, 278, 117, 279)(84, 246, 130, 292, 125, 287)(89, 251, 137, 299, 132, 294)(93, 255, 124, 286, 142, 304)(95, 257, 100, 262, 129, 291)(96, 258, 144, 306, 97, 259)(98, 260, 145, 307, 146, 308)(102, 264, 120, 282, 136, 298)(103, 265, 148, 310, 104, 266)(105, 267, 149, 311, 150, 312)(107, 269, 152, 314, 153, 315)(108, 270, 154, 316, 155, 317)(109, 271, 156, 318, 121, 283)(110, 272, 111, 273, 157, 319)(113, 275, 158, 320, 159, 321)(118, 280, 126, 288, 131, 293)(119, 281, 133, 295, 138, 300)(122, 284, 140, 302, 161, 323)(123, 285, 162, 324, 139, 301)(127, 289, 143, 305, 128, 290)(134, 296, 147, 309, 135, 297)(141, 303, 151, 313, 160, 322)(325, 487, 327, 489, 330, 492)(326, 488, 332, 494, 334, 496)(328, 490, 331, 493, 338, 500)(329, 491, 341, 503, 343, 505)(333, 495, 335, 497, 349, 511)(336, 498, 353, 515, 355, 517)(337, 499, 350, 512, 358, 520)(339, 501, 360, 522, 342, 504)(340, 502, 361, 523, 363, 525)(344, 506, 367, 529, 362, 524)(345, 507, 368, 530, 370, 532)(346, 508, 371, 533, 357, 519)(347, 509, 372, 534, 374, 536)(348, 510, 365, 527, 377, 539)(351, 513, 379, 541, 381, 543)(352, 514, 382, 544, 376, 538)(354, 516, 356, 518, 385, 547)(359, 521, 390, 552, 369, 531)(364, 526, 396, 558, 397, 559)(366, 528, 398, 560, 400, 562)(373, 535, 375, 537, 408, 570)(378, 540, 413, 575, 380, 542)(383, 545, 417, 579, 419, 581)(384, 546, 388, 550, 422, 584)(386, 548, 424, 586, 426, 588)(387, 549, 427, 589, 421, 583)(389, 551, 414, 576, 429, 591)(391, 553, 431, 593, 399, 561)(392, 554, 394, 556, 432, 594)(393, 555, 433, 595, 434, 596)(395, 557, 435, 597, 437, 599)(401, 563, 442, 604, 436, 598)(402, 564, 403, 565, 443, 605)(404, 566, 444, 606, 446, 608)(405, 567, 447, 609, 428, 590)(406, 568, 448, 610, 450, 612)(407, 569, 411, 573, 453, 615)(409, 571, 455, 617, 457, 619)(410, 572, 458, 620, 452, 614)(412, 574, 440, 602, 460, 622)(415, 577, 462, 624, 464, 626)(416, 578, 465, 627, 459, 621)(418, 580, 420, 582, 467, 629)(423, 585, 471, 633, 425, 587)(430, 592, 475, 637, 445, 607)(438, 600, 466, 628, 469, 631)(439, 601, 470, 632, 473, 635)(441, 603, 474, 636, 485, 647)(449, 611, 451, 613, 483, 645)(454, 616, 481, 643, 456, 618)(461, 623, 480, 642, 463, 625)(468, 630, 479, 641, 482, 644)(472, 634, 477, 639, 478, 640)(476, 638, 486, 648, 484, 646)
	L = (1, 328)(2, 333)(3, 331)(4, 330)(5, 342)(6, 338)(7, 325)(8, 335)(9, 334)(10, 349)(11, 326)(12, 354)(13, 357)(14, 327)(15, 329)(16, 362)(17, 339)(18, 343)(19, 360)(20, 340)(21, 369)(22, 337)(23, 373)(24, 376)(25, 332)(26, 346)(27, 380)(28, 348)(29, 356)(30, 355)(31, 385)(32, 336)(33, 358)(34, 371)(35, 345)(36, 341)(37, 344)(38, 363)(39, 367)(40, 392)(41, 352)(42, 399)(43, 361)(44, 359)(45, 370)(46, 390)(47, 350)(48, 375)(49, 374)(50, 408)(51, 347)(52, 377)(53, 382)(54, 351)(55, 378)(56, 381)(57, 413)(58, 365)(59, 418)(60, 421)(61, 353)(62, 425)(63, 384)(64, 387)(65, 428)(66, 368)(67, 366)(68, 397)(69, 402)(70, 364)(71, 436)(72, 394)(73, 432)(74, 391)(75, 400)(76, 431)(77, 395)(78, 434)(79, 393)(80, 445)(81, 389)(82, 449)(83, 452)(84, 372)(85, 456)(86, 407)(87, 410)(88, 459)(89, 379)(90, 405)(91, 463)(92, 412)(93, 420)(94, 419)(95, 467)(96, 383)(97, 422)(98, 427)(99, 386)(100, 423)(101, 426)(102, 471)(103, 388)(104, 429)(105, 447)(106, 404)(107, 398)(108, 396)(109, 403)(110, 443)(111, 401)(112, 437)(113, 442)(114, 479)(115, 477)(116, 416)(117, 484)(118, 435)(119, 433)(120, 430)(121, 446)(122, 475)(123, 414)(124, 451)(125, 450)(126, 483)(127, 406)(128, 453)(129, 458)(130, 409)(131, 454)(132, 457)(133, 481)(134, 411)(135, 460)(136, 465)(137, 415)(138, 461)(139, 464)(140, 480)(141, 440)(142, 482)(143, 417)(144, 466)(145, 468)(146, 478)(147, 424)(148, 470)(149, 472)(150, 476)(151, 444)(152, 441)(153, 473)(154, 439)(155, 469)(156, 462)(157, 455)(158, 438)(159, 448)(160, 485)(161, 486)(162, 474)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2698
Graph:: simple bipartite
	v = 108 e = 324 f = 162
	degree seq :: [ 6^108 ]

E28.2714 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 15>)
Aut   = C2 x (((C9 x C3) : C3) : C2) (small group id <324, 73>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, Y1^2 * Y2^-1, Y2^3, (R * Y3)^2, R * Y2 * R * Y1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 163, 4, 166)(2, 164, 5, 167)(3, 165, 6, 168)(7, 169, 13, 175)(8, 170, 14, 176)(9, 171, 15, 177)(10, 172, 16, 178)(11, 173, 17, 179)(12, 174, 18, 180)(19, 181, 31, 193)(20, 182, 32, 194)(21, 183, 33, 195)(22, 184, 34, 196)(23, 185, 35, 197)(24, 186, 36, 198)(25, 187, 37, 199)(26, 188, 38, 200)(27, 189, 39, 201)(28, 190, 40, 202)(29, 191, 41, 203)(30, 192, 42, 204)(43, 205, 58, 220)(44, 206, 59, 221)(45, 207, 60, 222)(46, 208, 61, 223)(47, 209, 62, 224)(48, 210, 63, 225)(49, 211, 64, 226)(50, 212, 65, 227)(51, 213, 66, 228)(52, 214, 67, 229)(53, 215, 68, 230)(54, 216, 69, 231)(55, 217, 70, 232)(56, 218, 71, 233)(57, 219, 72, 234)(73, 235, 94, 256)(74, 236, 95, 257)(75, 237, 96, 258)(76, 238, 97, 259)(77, 239, 98, 260)(78, 240, 99, 261)(79, 241, 100, 262)(80, 242, 101, 263)(81, 243, 102, 264)(82, 244, 103, 265)(83, 245, 104, 266)(84, 246, 105, 267)(85, 247, 106, 268)(86, 248, 107, 269)(87, 249, 108, 270)(88, 250, 109, 271)(89, 251, 110, 272)(90, 252, 111, 273)(91, 253, 112, 274)(92, 254, 113, 275)(93, 255, 114, 276)(115, 277, 139, 301)(116, 278, 140, 302)(117, 279, 141, 303)(118, 280, 142, 304)(119, 281, 143, 305)(120, 282, 144, 306)(121, 283, 145, 307)(122, 284, 146, 308)(123, 285, 147, 309)(124, 286, 148, 310)(125, 287, 149, 311)(126, 288, 150, 312)(127, 289, 151, 313)(128, 290, 152, 314)(129, 291, 153, 315)(130, 292, 154, 316)(131, 293, 155, 317)(132, 294, 156, 318)(133, 295, 157, 319)(134, 296, 158, 320)(135, 297, 159, 321)(136, 298, 160, 322)(137, 299, 161, 323)(138, 300, 162, 324)(325, 326, 327)(328, 331, 332)(329, 333, 334)(330, 335, 336)(337, 343, 344)(338, 345, 346)(339, 347, 348)(340, 349, 350)(341, 351, 352)(342, 353, 354)(355, 366, 367)(356, 368, 369)(357, 370, 371)(358, 372, 359)(360, 373, 374)(361, 375, 376)(362, 377, 363)(364, 378, 379)(365, 380, 381)(382, 397, 398)(383, 399, 400)(384, 401, 385)(386, 402, 403)(387, 404, 405)(388, 406, 407)(389, 408, 390)(391, 409, 410)(392, 411, 412)(393, 413, 414)(394, 415, 395)(396, 416, 417)(418, 438, 439)(419, 440, 420)(421, 441, 442)(422, 443, 444)(423, 445, 446)(424, 447, 425)(426, 448, 427)(428, 449, 450)(429, 451, 452)(430, 453, 454)(431, 455, 432)(433, 456, 434)(435, 457, 458)(436, 459, 460)(437, 461, 462)(463, 477, 476)(464, 475, 474)(465, 473, 481)(466, 480, 467)(468, 479, 469)(470, 478, 486)(471, 485, 484)(472, 483, 482)(487, 489, 488)(490, 494, 493)(491, 496, 495)(492, 498, 497)(499, 506, 505)(500, 508, 507)(501, 510, 509)(502, 512, 511)(503, 514, 513)(504, 516, 515)(517, 529, 528)(518, 531, 530)(519, 533, 532)(520, 521, 534)(522, 536, 535)(523, 538, 537)(524, 525, 539)(526, 541, 540)(527, 543, 542)(544, 560, 559)(545, 562, 561)(546, 547, 563)(548, 565, 564)(549, 567, 566)(550, 569, 568)(551, 552, 570)(553, 572, 571)(554, 574, 573)(555, 576, 575)(556, 557, 577)(558, 579, 578)(580, 601, 600)(581, 582, 602)(583, 604, 603)(584, 606, 605)(585, 608, 607)(586, 587, 609)(588, 589, 610)(590, 612, 611)(591, 614, 613)(592, 616, 615)(593, 594, 617)(595, 596, 618)(597, 620, 619)(598, 622, 621)(599, 624, 623)(625, 638, 639)(626, 636, 637)(627, 643, 635)(628, 629, 642)(630, 631, 641)(632, 648, 640)(633, 646, 647)(634, 644, 645)
	L = (1, 325)(2, 326)(3, 327)(4, 328)(5, 329)(6, 330)(7, 331)(8, 332)(9, 333)(10, 334)(11, 335)(12, 336)(13, 337)(14, 338)(15, 339)(16, 340)(17, 341)(18, 342)(19, 343)(20, 344)(21, 345)(22, 346)(23, 347)(24, 348)(25, 349)(26, 350)(27, 351)(28, 352)(29, 353)(30, 354)(31, 355)(32, 356)(33, 357)(34, 358)(35, 359)(36, 360)(37, 361)(38, 362)(39, 363)(40, 364)(41, 365)(42, 366)(43, 367)(44, 368)(45, 369)(46, 370)(47, 371)(48, 372)(49, 373)(50, 374)(51, 375)(52, 376)(53, 377)(54, 378)(55, 379)(56, 380)(57, 381)(58, 382)(59, 383)(60, 384)(61, 385)(62, 386)(63, 387)(64, 388)(65, 389)(66, 390)(67, 391)(68, 392)(69, 393)(70, 394)(71, 395)(72, 396)(73, 397)(74, 398)(75, 399)(76, 400)(77, 401)(78, 402)(79, 403)(80, 404)(81, 405)(82, 406)(83, 407)(84, 408)(85, 409)(86, 410)(87, 411)(88, 412)(89, 413)(90, 414)(91, 415)(92, 416)(93, 417)(94, 418)(95, 419)(96, 420)(97, 421)(98, 422)(99, 423)(100, 424)(101, 425)(102, 426)(103, 427)(104, 428)(105, 429)(106, 430)(107, 431)(108, 432)(109, 433)(110, 434)(111, 435)(112, 436)(113, 437)(114, 438)(115, 439)(116, 440)(117, 441)(118, 442)(119, 443)(120, 444)(121, 445)(122, 446)(123, 447)(124, 448)(125, 449)(126, 450)(127, 451)(128, 452)(129, 453)(130, 454)(131, 455)(132, 456)(133, 457)(134, 458)(135, 459)(136, 460)(137, 461)(138, 462)(139, 463)(140, 464)(141, 465)(142, 466)(143, 467)(144, 468)(145, 469)(146, 470)(147, 471)(148, 472)(149, 473)(150, 474)(151, 475)(152, 476)(153, 477)(154, 478)(155, 479)(156, 480)(157, 481)(158, 482)(159, 483)(160, 484)(161, 485)(162, 486)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 8^3 ), ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E28.2715
Graph:: simple bipartite
	v = 189 e = 324 f = 81
	degree seq :: [ 3^108, 4^81 ]

E28.2715 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 15>)
Aut   = C2 x (((C9 x C3) : C3) : C2) (small group id <324, 73>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, Y1^2 * Y2^-1, Y2^3, (R * Y3)^2, R * Y2 * R * Y1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 163, 325, 487, 4, 166, 328, 490)(2, 164, 326, 488, 5, 167, 329, 491)(3, 165, 327, 489, 6, 168, 330, 492)(7, 169, 331, 493, 13, 175, 337, 499)(8, 170, 332, 494, 14, 176, 338, 500)(9, 171, 333, 495, 15, 177, 339, 501)(10, 172, 334, 496, 16, 178, 340, 502)(11, 173, 335, 497, 17, 179, 341, 503)(12, 174, 336, 498, 18, 180, 342, 504)(19, 181, 343, 505, 31, 193, 355, 517)(20, 182, 344, 506, 32, 194, 356, 518)(21, 183, 345, 507, 33, 195, 357, 519)(22, 184, 346, 508, 34, 196, 358, 520)(23, 185, 347, 509, 35, 197, 359, 521)(24, 186, 348, 510, 36, 198, 360, 522)(25, 187, 349, 511, 37, 199, 361, 523)(26, 188, 350, 512, 38, 200, 362, 524)(27, 189, 351, 513, 39, 201, 363, 525)(28, 190, 352, 514, 40, 202, 364, 526)(29, 191, 353, 515, 41, 203, 365, 527)(30, 192, 354, 516, 42, 204, 366, 528)(43, 205, 367, 529, 58, 220, 382, 544)(44, 206, 368, 530, 59, 221, 383, 545)(45, 207, 369, 531, 60, 222, 384, 546)(46, 208, 370, 532, 61, 223, 385, 547)(47, 209, 371, 533, 62, 224, 386, 548)(48, 210, 372, 534, 63, 225, 387, 549)(49, 211, 373, 535, 64, 226, 388, 550)(50, 212, 374, 536, 65, 227, 389, 551)(51, 213, 375, 537, 66, 228, 390, 552)(52, 214, 376, 538, 67, 229, 391, 553)(53, 215, 377, 539, 68, 230, 392, 554)(54, 216, 378, 540, 69, 231, 393, 555)(55, 217, 379, 541, 70, 232, 394, 556)(56, 218, 380, 542, 71, 233, 395, 557)(57, 219, 381, 543, 72, 234, 396, 558)(73, 235, 397, 559, 94, 256, 418, 580)(74, 236, 398, 560, 95, 257, 419, 581)(75, 237, 399, 561, 96, 258, 420, 582)(76, 238, 400, 562, 97, 259, 421, 583)(77, 239, 401, 563, 98, 260, 422, 584)(78, 240, 402, 564, 99, 261, 423, 585)(79, 241, 403, 565, 100, 262, 424, 586)(80, 242, 404, 566, 101, 263, 425, 587)(81, 243, 405, 567, 102, 264, 426, 588)(82, 244, 406, 568, 103, 265, 427, 589)(83, 245, 407, 569, 104, 266, 428, 590)(84, 246, 408, 570, 105, 267, 429, 591)(85, 247, 409, 571, 106, 268, 430, 592)(86, 248, 410, 572, 107, 269, 431, 593)(87, 249, 411, 573, 108, 270, 432, 594)(88, 250, 412, 574, 109, 271, 433, 595)(89, 251, 413, 575, 110, 272, 434, 596)(90, 252, 414, 576, 111, 273, 435, 597)(91, 253, 415, 577, 112, 274, 436, 598)(92, 254, 416, 578, 113, 275, 437, 599)(93, 255, 417, 579, 114, 276, 438, 600)(115, 277, 439, 601, 139, 301, 463, 625)(116, 278, 440, 602, 140, 302, 464, 626)(117, 279, 441, 603, 141, 303, 465, 627)(118, 280, 442, 604, 142, 304, 466, 628)(119, 281, 443, 605, 143, 305, 467, 629)(120, 282, 444, 606, 144, 306, 468, 630)(121, 283, 445, 607, 145, 307, 469, 631)(122, 284, 446, 608, 146, 308, 470, 632)(123, 285, 447, 609, 147, 309, 471, 633)(124, 286, 448, 610, 148, 310, 472, 634)(125, 287, 449, 611, 149, 311, 473, 635)(126, 288, 450, 612, 150, 312, 474, 636)(127, 289, 451, 613, 151, 313, 475, 637)(128, 290, 452, 614, 152, 314, 476, 638)(129, 291, 453, 615, 153, 315, 477, 639)(130, 292, 454, 616, 154, 316, 478, 640)(131, 293, 455, 617, 155, 317, 479, 641)(132, 294, 456, 618, 156, 318, 480, 642)(133, 295, 457, 619, 157, 319, 481, 643)(134, 296, 458, 620, 158, 320, 482, 644)(135, 297, 459, 621, 159, 321, 483, 645)(136, 298, 460, 622, 160, 322, 484, 646)(137, 299, 461, 623, 161, 323, 485, 647)(138, 300, 462, 624, 162, 324, 486, 648)
	L = (1, 164)(2, 165)(3, 163)(4, 169)(5, 171)(6, 173)(7, 170)(8, 166)(9, 172)(10, 167)(11, 174)(12, 168)(13, 181)(14, 183)(15, 185)(16, 187)(17, 189)(18, 191)(19, 182)(20, 175)(21, 184)(22, 176)(23, 186)(24, 177)(25, 188)(26, 178)(27, 190)(28, 179)(29, 192)(30, 180)(31, 204)(32, 206)(33, 208)(34, 210)(35, 196)(36, 211)(37, 213)(38, 215)(39, 200)(40, 216)(41, 218)(42, 205)(43, 193)(44, 207)(45, 194)(46, 209)(47, 195)(48, 197)(49, 212)(50, 198)(51, 214)(52, 199)(53, 201)(54, 217)(55, 202)(56, 219)(57, 203)(58, 235)(59, 237)(60, 239)(61, 222)(62, 240)(63, 242)(64, 244)(65, 246)(66, 227)(67, 247)(68, 249)(69, 251)(70, 253)(71, 232)(72, 254)(73, 236)(74, 220)(75, 238)(76, 221)(77, 223)(78, 241)(79, 224)(80, 243)(81, 225)(82, 245)(83, 226)(84, 228)(85, 248)(86, 229)(87, 250)(88, 230)(89, 252)(90, 231)(91, 233)(92, 255)(93, 234)(94, 276)(95, 278)(96, 257)(97, 279)(98, 281)(99, 283)(100, 285)(101, 262)(102, 286)(103, 264)(104, 287)(105, 289)(106, 291)(107, 293)(108, 269)(109, 294)(110, 271)(111, 295)(112, 297)(113, 299)(114, 277)(115, 256)(116, 258)(117, 280)(118, 259)(119, 282)(120, 260)(121, 284)(122, 261)(123, 263)(124, 265)(125, 288)(126, 266)(127, 290)(128, 267)(129, 292)(130, 268)(131, 270)(132, 272)(133, 296)(134, 273)(135, 298)(136, 274)(137, 300)(138, 275)(139, 315)(140, 313)(141, 311)(142, 318)(143, 304)(144, 317)(145, 306)(146, 316)(147, 323)(148, 321)(149, 319)(150, 302)(151, 312)(152, 301)(153, 314)(154, 324)(155, 307)(156, 305)(157, 303)(158, 310)(159, 320)(160, 309)(161, 322)(162, 308)(325, 489)(326, 487)(327, 488)(328, 494)(329, 496)(330, 498)(331, 490)(332, 493)(333, 491)(334, 495)(335, 492)(336, 497)(337, 506)(338, 508)(339, 510)(340, 512)(341, 514)(342, 516)(343, 499)(344, 505)(345, 500)(346, 507)(347, 501)(348, 509)(349, 502)(350, 511)(351, 503)(352, 513)(353, 504)(354, 515)(355, 529)(356, 531)(357, 533)(358, 521)(359, 534)(360, 536)(361, 538)(362, 525)(363, 539)(364, 541)(365, 543)(366, 517)(367, 528)(368, 518)(369, 530)(370, 519)(371, 532)(372, 520)(373, 522)(374, 535)(375, 523)(376, 537)(377, 524)(378, 526)(379, 540)(380, 527)(381, 542)(382, 560)(383, 562)(384, 547)(385, 563)(386, 565)(387, 567)(388, 569)(389, 552)(390, 570)(391, 572)(392, 574)(393, 576)(394, 557)(395, 577)(396, 579)(397, 544)(398, 559)(399, 545)(400, 561)(401, 546)(402, 548)(403, 564)(404, 549)(405, 566)(406, 550)(407, 568)(408, 551)(409, 553)(410, 571)(411, 554)(412, 573)(413, 555)(414, 575)(415, 556)(416, 558)(417, 578)(418, 601)(419, 582)(420, 602)(421, 604)(422, 606)(423, 608)(424, 587)(425, 609)(426, 589)(427, 610)(428, 612)(429, 614)(430, 616)(431, 594)(432, 617)(433, 596)(434, 618)(435, 620)(436, 622)(437, 624)(438, 580)(439, 600)(440, 581)(441, 583)(442, 603)(443, 584)(444, 605)(445, 585)(446, 607)(447, 586)(448, 588)(449, 590)(450, 611)(451, 591)(452, 613)(453, 592)(454, 615)(455, 593)(456, 595)(457, 597)(458, 619)(459, 598)(460, 621)(461, 599)(462, 623)(463, 638)(464, 636)(465, 643)(466, 629)(467, 642)(468, 631)(469, 641)(470, 648)(471, 646)(472, 644)(473, 627)(474, 637)(475, 626)(476, 639)(477, 625)(478, 632)(479, 630)(480, 628)(481, 635)(482, 645)(483, 634)(484, 647)(485, 633)(486, 640)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.2714
Transitivity :: VT+
Graph::
	v = 81 e = 324 f = 189
	degree seq :: [ 8^81 ]

E28.2716 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 19>)
Aut   = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (R * Y3)^2, (R * Y1)^2, Y3 * R * Y2 * R * Y3 * Y2, Y2 * R * Y2 * R * Y2 * Y3, (Y3 * Y1)^3, Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1, Y3 * R * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * R * Y3 * Y1 * Y2 * Y1 * Y2, (Y2 * Y1 * Y2 * Y1 * Y2 * R * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 163, 2, 164)(3, 165, 7, 169)(4, 166, 9, 171)(5, 167, 11, 173)(6, 168, 13, 175)(8, 170, 17, 179)(10, 172, 20, 182)(12, 174, 23, 185)(14, 176, 26, 188)(15, 177, 27, 189)(16, 178, 29, 191)(18, 180, 32, 194)(19, 181, 33, 195)(21, 183, 37, 199)(22, 184, 39, 201)(24, 186, 42, 204)(25, 187, 43, 205)(28, 190, 49, 211)(30, 192, 52, 214)(31, 193, 53, 215)(34, 196, 59, 221)(35, 197, 60, 222)(36, 198, 56, 218)(38, 200, 65, 227)(40, 202, 68, 230)(41, 203, 69, 231)(44, 206, 75, 237)(45, 207, 76, 238)(46, 208, 72, 234)(47, 209, 79, 241)(48, 210, 81, 243)(50, 212, 84, 246)(51, 213, 77, 239)(54, 216, 70, 232)(55, 217, 88, 250)(57, 219, 91, 253)(58, 220, 83, 245)(61, 223, 67, 229)(62, 224, 78, 240)(63, 225, 97, 259)(64, 226, 99, 261)(66, 228, 102, 264)(71, 233, 106, 268)(73, 235, 109, 271)(74, 236, 101, 263)(80, 242, 112, 274)(82, 244, 105, 267)(85, 247, 113, 275)(86, 248, 120, 282)(87, 249, 100, 262)(89, 251, 118, 280)(90, 252, 110, 272)(92, 254, 108, 270)(93, 255, 123, 285)(94, 256, 98, 260)(95, 257, 103, 265)(96, 258, 128, 290)(104, 266, 134, 296)(107, 269, 132, 294)(111, 273, 137, 299)(114, 276, 142, 304)(115, 277, 143, 305)(116, 278, 140, 302)(117, 279, 145, 307)(119, 281, 146, 308)(121, 283, 148, 310)(122, 284, 144, 306)(124, 286, 139, 301)(125, 287, 138, 300)(126, 288, 130, 292)(127, 289, 150, 312)(129, 291, 153, 315)(131, 293, 155, 317)(133, 295, 156, 318)(135, 297, 158, 320)(136, 298, 154, 316)(141, 303, 160, 322)(147, 309, 161, 323)(149, 311, 162, 324)(151, 313, 157, 319)(152, 314, 159, 321)(325, 487, 327, 489)(326, 488, 329, 491)(328, 490, 334, 496)(330, 492, 338, 500)(331, 493, 339, 501)(332, 494, 342, 504)(333, 495, 343, 505)(335, 497, 345, 507)(336, 498, 348, 510)(337, 499, 349, 511)(340, 502, 354, 516)(341, 503, 355, 517)(344, 506, 359, 521)(346, 508, 364, 526)(347, 509, 365, 527)(350, 512, 369, 531)(351, 513, 371, 533)(352, 514, 374, 536)(353, 515, 375, 537)(356, 518, 379, 541)(357, 519, 381, 543)(358, 520, 368, 530)(360, 522, 386, 548)(361, 523, 387, 549)(362, 524, 390, 552)(363, 525, 391, 553)(366, 528, 395, 557)(367, 529, 397, 559)(370, 532, 402, 564)(372, 534, 406, 568)(373, 535, 407, 569)(376, 538, 398, 560)(377, 539, 411, 573)(378, 540, 409, 571)(380, 542, 414, 576)(382, 544, 392, 554)(383, 545, 417, 579)(384, 546, 418, 580)(385, 547, 420, 582)(388, 550, 424, 586)(389, 551, 425, 587)(393, 555, 429, 591)(394, 556, 427, 589)(396, 558, 432, 594)(399, 561, 435, 597)(400, 562, 436, 598)(401, 563, 438, 600)(403, 565, 439, 601)(404, 566, 441, 603)(405, 567, 442, 604)(408, 570, 443, 605)(410, 572, 434, 596)(412, 574, 446, 608)(413, 575, 448, 610)(415, 577, 440, 602)(416, 578, 428, 590)(419, 581, 451, 613)(421, 583, 453, 615)(422, 584, 455, 617)(423, 585, 456, 618)(426, 588, 457, 619)(430, 592, 460, 622)(431, 593, 462, 624)(433, 595, 454, 616)(437, 599, 465, 627)(444, 606, 472, 634)(445, 607, 459, 621)(447, 609, 474, 636)(449, 611, 468, 630)(450, 612, 475, 637)(452, 614, 476, 638)(458, 620, 482, 644)(461, 623, 484, 646)(463, 625, 478, 640)(464, 626, 485, 647)(466, 628, 486, 648)(467, 629, 477, 639)(469, 631, 481, 643)(470, 632, 483, 645)(471, 633, 479, 641)(473, 635, 480, 642)
	L = (1, 328)(2, 330)(3, 332)(4, 325)(5, 336)(6, 326)(7, 340)(8, 327)(9, 337)(10, 342)(11, 346)(12, 329)(13, 333)(14, 348)(15, 352)(16, 331)(17, 353)(18, 334)(19, 358)(20, 360)(21, 362)(22, 335)(23, 363)(24, 338)(25, 368)(26, 370)(27, 372)(28, 339)(29, 341)(30, 374)(31, 378)(32, 380)(33, 382)(34, 343)(35, 385)(36, 344)(37, 388)(38, 345)(39, 347)(40, 390)(41, 394)(42, 396)(43, 398)(44, 349)(45, 401)(46, 350)(47, 404)(48, 351)(49, 405)(50, 354)(51, 409)(52, 410)(53, 393)(54, 355)(55, 413)(56, 356)(57, 416)(58, 357)(59, 407)(60, 419)(61, 359)(62, 420)(63, 422)(64, 361)(65, 423)(66, 364)(67, 427)(68, 428)(69, 377)(70, 365)(71, 431)(72, 366)(73, 434)(74, 367)(75, 425)(76, 437)(77, 369)(78, 438)(79, 440)(80, 371)(81, 373)(82, 441)(83, 383)(84, 444)(85, 375)(86, 376)(87, 445)(88, 447)(89, 379)(90, 448)(91, 449)(92, 381)(93, 442)(94, 450)(95, 384)(96, 386)(97, 454)(98, 387)(99, 389)(100, 455)(101, 399)(102, 458)(103, 391)(104, 392)(105, 459)(106, 461)(107, 395)(108, 462)(109, 463)(110, 397)(111, 456)(112, 464)(113, 400)(114, 402)(115, 468)(116, 403)(117, 406)(118, 417)(119, 471)(120, 408)(121, 411)(122, 473)(123, 412)(124, 414)(125, 415)(126, 418)(127, 475)(128, 466)(129, 478)(130, 421)(131, 424)(132, 435)(133, 481)(134, 426)(135, 429)(136, 483)(137, 430)(138, 432)(139, 433)(140, 436)(141, 485)(142, 452)(143, 486)(144, 439)(145, 482)(146, 484)(147, 443)(148, 479)(149, 446)(150, 480)(151, 451)(152, 477)(153, 476)(154, 453)(155, 472)(156, 474)(157, 457)(158, 469)(159, 460)(160, 470)(161, 465)(162, 467)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 6^4 ) }
Outer automorphisms :: reflexible
Dual of E28.2719
Graph:: simple bipartite
	v = 162 e = 324 f = 108
	degree seq :: [ 4^162 ]

E28.2717 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 19>)
Aut   = C2 x (((C3 x C3 x C3) : C3) : C2) (small group id <324, 77>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, (Y1 * Y2 * Y3^-1)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y3^-1 * Y1)^2, (Y3 * Y2^-1)^3, Y3^2 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^2 * Y2^-1, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y3 * Y2 * Y3^-1, Y3^-1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y3 * Y2, Y3^-3 * Y2^-1 * Y3^3 * Y2, (Y3^-1 * Y2^-1 * Y3 * Y1)^2, Y3^3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3, (Y3 * Y2 * Y3)^3 ]
Map:: polytopal non-degenerate
	R = (1, 163, 2, 164)(3, 165, 11, 173)(4, 166, 10, 172)(5, 167, 17, 179)(6, 168, 8, 170)(7, 169, 23, 185)(9, 171, 29, 191)(12, 174, 37, 199)(13, 175, 28, 190)(14, 176, 31, 193)(15, 177, 34, 196)(16, 178, 25, 187)(18, 180, 50, 212)(19, 181, 26, 188)(20, 182, 57, 219)(21, 183, 59, 221)(22, 184, 27, 189)(24, 186, 67, 229)(30, 192, 80, 242)(32, 194, 87, 249)(33, 195, 89, 251)(35, 197, 65, 227)(36, 198, 78, 240)(38, 200, 96, 258)(39, 201, 93, 255)(40, 202, 95, 257)(41, 203, 73, 235)(42, 204, 104, 266)(43, 205, 71, 233)(44, 206, 86, 248)(45, 207, 91, 253)(46, 208, 94, 256)(47, 209, 83, 245)(48, 210, 66, 228)(49, 211, 79, 241)(51, 213, 115, 277)(52, 214, 92, 254)(53, 215, 77, 239)(54, 216, 119, 281)(55, 217, 121, 283)(56, 218, 74, 236)(58, 220, 90, 252)(60, 222, 88, 250)(61, 223, 75, 237)(62, 224, 82, 244)(63, 225, 69, 231)(64, 226, 76, 238)(68, 230, 132, 294)(70, 232, 111, 273)(72, 234, 106, 268)(81, 243, 102, 264)(84, 246, 107, 269)(85, 247, 146, 308)(97, 259, 124, 286)(98, 260, 158, 320)(99, 261, 150, 312)(100, 262, 153, 315)(101, 263, 155, 317)(103, 265, 139, 301)(105, 267, 157, 319)(108, 270, 137, 299)(109, 271, 148, 310)(110, 272, 151, 313)(112, 274, 154, 316)(113, 275, 156, 318)(114, 276, 147, 309)(116, 278, 127, 289)(117, 279, 149, 311)(118, 280, 152, 314)(120, 282, 161, 323)(122, 284, 144, 306)(123, 285, 140, 302)(125, 287, 134, 296)(126, 288, 141, 303)(128, 290, 135, 297)(129, 291, 142, 304)(130, 292, 136, 298)(131, 293, 143, 305)(133, 295, 162, 324)(138, 300, 159, 321)(145, 307, 160, 322)(325, 487, 327, 489, 329, 491)(326, 488, 331, 493, 333, 495)(328, 490, 338, 500, 340, 502)(330, 492, 344, 506, 345, 507)(332, 494, 350, 512, 352, 514)(334, 496, 356, 518, 357, 519)(335, 497, 359, 521, 360, 522)(336, 498, 362, 524, 364, 526)(337, 499, 365, 527, 366, 528)(339, 501, 369, 531, 371, 533)(341, 503, 372, 534, 373, 535)(342, 504, 375, 537, 377, 539)(343, 505, 378, 540, 379, 541)(346, 508, 386, 548, 387, 549)(347, 509, 389, 551, 390, 552)(348, 510, 392, 554, 394, 556)(349, 511, 395, 557, 396, 558)(351, 513, 399, 561, 401, 563)(353, 515, 402, 564, 403, 565)(354, 516, 405, 567, 407, 569)(355, 517, 408, 570, 409, 571)(358, 520, 416, 578, 417, 579)(361, 523, 421, 583, 422, 584)(363, 525, 424, 586, 426, 588)(367, 529, 411, 573, 431, 593)(368, 530, 433, 595, 435, 597)(370, 532, 425, 587, 438, 600)(374, 536, 406, 568, 440, 602)(376, 538, 442, 604, 404, 566)(380, 542, 448, 610, 449, 611)(381, 543, 443, 605, 397, 559)(382, 544, 427, 589, 444, 606)(383, 545, 445, 607, 428, 590)(384, 546, 429, 591, 446, 608)(385, 547, 451, 613, 452, 614)(388, 550, 432, 594, 450, 612)(391, 553, 441, 603, 457, 619)(393, 555, 459, 621, 439, 601)(398, 560, 464, 626, 419, 581)(400, 562, 460, 622, 468, 630)(410, 572, 473, 635, 474, 636)(412, 574, 461, 623, 469, 631)(413, 575, 470, 632, 430, 592)(414, 576, 462, 624, 471, 633)(415, 577, 476, 638, 477, 639)(418, 580, 463, 625, 475, 637)(420, 582, 458, 620, 480, 642)(423, 585, 455, 617, 456, 618)(434, 596, 453, 615, 483, 645)(436, 598, 454, 616, 484, 646)(437, 599, 447, 609, 482, 644)(465, 627, 478, 640, 481, 643)(466, 628, 479, 641, 485, 647)(467, 629, 472, 634, 486, 648)
	L = (1, 328)(2, 332)(3, 336)(4, 339)(5, 342)(6, 325)(7, 348)(8, 351)(9, 354)(10, 326)(11, 352)(12, 363)(13, 327)(14, 368)(15, 370)(16, 365)(17, 350)(18, 376)(19, 329)(20, 382)(21, 384)(22, 330)(23, 340)(24, 393)(25, 331)(26, 398)(27, 400)(28, 395)(29, 338)(30, 406)(31, 333)(32, 412)(33, 414)(34, 334)(35, 394)(36, 407)(37, 335)(38, 423)(39, 425)(40, 378)(41, 427)(42, 429)(43, 337)(44, 434)(45, 436)(46, 437)(47, 402)(48, 392)(49, 405)(50, 341)(51, 441)(52, 438)(53, 344)(54, 444)(55, 446)(56, 343)(57, 401)(58, 413)(59, 399)(60, 411)(61, 345)(62, 404)(63, 391)(64, 346)(65, 364)(66, 377)(67, 347)(68, 458)(69, 460)(70, 408)(71, 461)(72, 462)(73, 349)(74, 465)(75, 466)(76, 467)(77, 372)(78, 362)(79, 375)(80, 353)(81, 421)(82, 468)(83, 356)(84, 469)(85, 471)(86, 355)(87, 371)(88, 383)(89, 369)(90, 381)(91, 357)(92, 374)(93, 361)(94, 358)(95, 359)(96, 360)(97, 481)(98, 463)(99, 453)(100, 454)(101, 452)(102, 403)(103, 482)(104, 396)(105, 448)(106, 366)(107, 435)(108, 367)(109, 450)(110, 447)(111, 389)(112, 449)(113, 455)(114, 470)(115, 373)(116, 485)(117, 483)(118, 484)(119, 419)(120, 451)(121, 464)(122, 386)(123, 379)(124, 426)(125, 456)(126, 380)(127, 442)(128, 457)(129, 385)(130, 387)(131, 388)(132, 390)(133, 432)(134, 478)(135, 479)(136, 477)(137, 486)(138, 473)(139, 397)(140, 475)(141, 472)(142, 474)(143, 480)(144, 445)(145, 476)(146, 433)(147, 416)(148, 409)(149, 439)(150, 420)(151, 410)(152, 440)(153, 422)(154, 415)(155, 417)(156, 418)(157, 428)(158, 424)(159, 430)(160, 431)(161, 443)(162, 459)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2718
Graph:: simple bipartite
	v = 135 e = 324 f = 135
	degree seq :: [ 4^81, 6^54 ]

E28.2718 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 19>)
Aut   = C2 x (((C3 x C3 x C3) : C3) : C2) (small group id <324, 77>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y3^-1 * Y1 * Y2 * Y1, (Y3 * Y2^-1)^3, Y1 * Y2^-1 * Y3 * Y1 * Y2 * Y3 * Y2, Y3 * Y2 * Y3 * Y2 * Y3^-2 * Y2, (Y2 * Y3^2)^3, Y3^9 ]
Map:: polytopal non-degenerate
	R = (1, 163, 2, 164)(3, 165, 11, 173)(4, 166, 10, 172)(5, 167, 17, 179)(6, 168, 8, 170)(7, 169, 23, 185)(9, 171, 29, 191)(12, 174, 37, 199)(13, 175, 28, 190)(14, 176, 31, 193)(15, 177, 34, 196)(16, 178, 25, 187)(18, 180, 50, 212)(19, 181, 26, 188)(20, 182, 57, 219)(21, 183, 59, 221)(22, 184, 27, 189)(24, 186, 66, 228)(30, 192, 55, 217)(32, 194, 38, 200)(33, 195, 83, 245)(35, 197, 89, 251)(36, 198, 60, 222)(39, 201, 87, 249)(40, 202, 91, 253)(41, 203, 71, 233)(42, 204, 98, 260)(43, 205, 69, 231)(44, 206, 82, 244)(45, 207, 85, 247)(46, 208, 88, 250)(47, 209, 80, 242)(48, 210, 108, 270)(49, 211, 99, 261)(51, 213, 92, 254)(52, 214, 86, 248)(53, 215, 75, 237)(54, 216, 110, 272)(56, 218, 72, 234)(58, 220, 84, 246)(61, 223, 73, 235)(62, 224, 79, 241)(63, 225, 67, 229)(64, 226, 74, 236)(65, 227, 121, 283)(68, 230, 104, 266)(70, 232, 100, 262)(76, 238, 134, 296)(77, 239, 128, 290)(78, 240, 122, 284)(81, 243, 136, 298)(90, 252, 147, 309)(93, 255, 149, 311)(94, 256, 150, 312)(95, 257, 145, 307)(96, 258, 115, 277)(97, 259, 129, 291)(101, 263, 148, 310)(102, 264, 127, 289)(103, 265, 139, 301)(105, 267, 144, 306)(106, 268, 146, 308)(107, 269, 143, 305)(109, 271, 153, 315)(111, 273, 137, 299)(112, 274, 154, 316)(113, 275, 130, 292)(114, 276, 156, 318)(116, 278, 142, 304)(117, 279, 133, 295)(118, 280, 131, 293)(119, 281, 125, 287)(120, 282, 132, 294)(123, 285, 159, 321)(124, 286, 151, 313)(126, 288, 141, 303)(135, 297, 161, 323)(138, 300, 158, 320)(140, 302, 162, 324)(152, 314, 157, 319)(155, 317, 160, 322)(325, 487, 327, 489, 329, 491)(326, 488, 331, 493, 333, 495)(328, 490, 338, 500, 340, 502)(330, 492, 344, 506, 345, 507)(332, 494, 350, 512, 352, 514)(334, 496, 356, 518, 357, 519)(335, 497, 359, 521, 360, 522)(336, 498, 362, 524, 364, 526)(337, 499, 365, 527, 366, 528)(339, 501, 369, 531, 371, 533)(341, 503, 372, 534, 373, 535)(342, 504, 375, 537, 377, 539)(343, 505, 378, 540, 379, 541)(346, 508, 386, 548, 387, 549)(347, 509, 389, 551, 382, 544)(348, 510, 381, 543, 392, 554)(349, 511, 393, 555, 394, 556)(351, 513, 397, 559, 399, 561)(353, 515, 400, 562, 401, 563)(354, 516, 402, 564, 404, 566)(355, 517, 405, 567, 374, 536)(358, 520, 410, 572, 411, 573)(361, 523, 416, 578, 417, 579)(363, 525, 418, 580, 420, 582)(367, 529, 385, 547, 425, 587)(368, 530, 376, 538, 428, 590)(370, 532, 419, 581, 431, 593)(380, 542, 424, 586, 436, 598)(383, 545, 438, 600, 439, 601)(384, 546, 440, 602, 441, 603)(388, 550, 426, 588, 437, 599)(390, 552, 446, 608, 447, 609)(391, 553, 448, 610, 450, 612)(395, 557, 409, 571, 414, 576)(396, 558, 403, 565, 415, 577)(398, 560, 449, 611, 457, 619)(406, 568, 422, 584, 462, 624)(407, 569, 464, 626, 465, 627)(408, 570, 466, 628, 467, 629)(412, 574, 453, 615, 463, 625)(413, 575, 429, 591, 421, 583)(423, 585, 427, 589, 442, 604)(430, 592, 476, 638, 473, 635)(432, 594, 443, 605, 435, 597)(433, 595, 434, 596, 474, 636)(444, 606, 477, 639, 482, 644)(445, 607, 455, 617, 451, 613)(452, 614, 454, 616, 468, 630)(456, 618, 484, 646, 483, 645)(458, 620, 469, 631, 461, 623)(459, 621, 460, 622, 475, 637)(470, 632, 485, 647, 478, 640)(471, 633, 480, 642, 479, 641)(472, 634, 486, 648, 481, 643)
	L = (1, 328)(2, 332)(3, 336)(4, 339)(5, 342)(6, 325)(7, 348)(8, 351)(9, 354)(10, 326)(11, 352)(12, 363)(13, 327)(14, 368)(15, 370)(16, 365)(17, 350)(18, 376)(19, 329)(20, 382)(21, 384)(22, 330)(23, 340)(24, 391)(25, 331)(26, 396)(27, 398)(28, 393)(29, 338)(30, 403)(31, 333)(32, 360)(33, 408)(34, 334)(35, 414)(36, 383)(37, 335)(38, 371)(39, 419)(40, 378)(41, 421)(42, 423)(43, 337)(44, 427)(45, 429)(46, 430)(47, 400)(48, 433)(49, 422)(50, 341)(51, 420)(52, 431)(53, 344)(54, 435)(55, 353)(56, 343)(57, 399)(58, 407)(59, 397)(60, 362)(61, 345)(62, 379)(63, 390)(64, 346)(65, 425)(66, 347)(67, 449)(68, 405)(69, 451)(70, 452)(71, 349)(72, 454)(73, 455)(74, 456)(75, 372)(76, 459)(77, 424)(78, 450)(79, 457)(80, 356)(81, 461)(82, 355)(83, 369)(84, 381)(85, 357)(86, 374)(87, 361)(88, 358)(89, 364)(90, 472)(91, 359)(92, 373)(93, 453)(94, 443)(95, 475)(96, 440)(97, 473)(98, 394)(99, 375)(100, 366)(101, 471)(102, 367)(103, 476)(104, 389)(105, 436)(106, 444)(107, 464)(108, 377)(109, 478)(110, 415)(111, 460)(112, 477)(113, 380)(114, 481)(115, 416)(116, 465)(117, 386)(118, 385)(119, 387)(120, 388)(121, 392)(122, 401)(123, 426)(124, 469)(125, 474)(126, 466)(127, 483)(128, 402)(129, 395)(130, 484)(131, 462)(132, 470)(133, 438)(134, 404)(135, 482)(136, 428)(137, 434)(138, 485)(139, 406)(140, 479)(141, 446)(142, 439)(143, 410)(144, 409)(145, 411)(146, 412)(147, 413)(148, 445)(149, 418)(150, 417)(151, 447)(152, 480)(153, 432)(154, 468)(155, 437)(156, 441)(157, 463)(158, 442)(159, 448)(160, 486)(161, 458)(162, 467)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2717
Graph:: simple bipartite
	v = 135 e = 324 f = 135
	degree seq :: [ 4^81, 6^54 ]

E28.2719 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 19>)
Aut   = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, R * Y2 * R * Y2^-1, (Y3 * Y1^-1)^2, (R * Y3)^2, (Y2 * Y3)^2, (R * Y1)^2, Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 163, 2, 164, 5, 167)(3, 165, 10, 172, 12, 174)(4, 166, 13, 175, 8, 170)(6, 168, 17, 179, 18, 180)(7, 169, 19, 181, 21, 183)(9, 171, 23, 185, 24, 186)(11, 173, 28, 190, 26, 188)(14, 176, 33, 195, 34, 196)(15, 177, 35, 197, 36, 198)(16, 178, 37, 199, 38, 200)(20, 182, 46, 208, 44, 206)(22, 184, 49, 211, 50, 212)(25, 187, 55, 217, 47, 209)(27, 189, 58, 220, 53, 215)(29, 191, 61, 223, 62, 224)(30, 192, 63, 225, 64, 226)(31, 193, 65, 227, 66, 228)(32, 194, 67, 229, 68, 230)(39, 201, 79, 241, 48, 210)(40, 202, 80, 242, 54, 216)(41, 203, 73, 235, 81, 243)(42, 204, 76, 238, 82, 244)(43, 205, 83, 245, 74, 236)(45, 207, 86, 248, 77, 239)(51, 213, 93, 255, 75, 237)(52, 214, 94, 256, 78, 240)(56, 218, 88, 250, 96, 258)(57, 219, 90, 252, 98, 260)(59, 221, 101, 263, 102, 264)(60, 222, 103, 265, 104, 266)(69, 231, 115, 277, 111, 273)(70, 232, 116, 278, 114, 276)(71, 233, 89, 251, 117, 279)(72, 234, 87, 249, 118, 280)(84, 246, 113, 275, 128, 290)(85, 247, 110, 272, 130, 292)(91, 253, 109, 271, 133, 295)(92, 254, 112, 274, 134, 296)(95, 257, 127, 289, 105, 267)(97, 259, 131, 293, 107, 269)(99, 261, 135, 297, 106, 268)(100, 262, 137, 299, 108, 270)(119, 281, 129, 291, 123, 285)(120, 282, 132, 294, 125, 287)(121, 283, 136, 298, 124, 286)(122, 284, 138, 300, 126, 288)(139, 301, 146, 308, 155, 317)(140, 302, 144, 306, 158, 320)(141, 303, 143, 305, 160, 322)(142, 304, 145, 307, 162, 324)(147, 309, 159, 321, 151, 313)(148, 310, 157, 319, 153, 315)(149, 311, 161, 323, 152, 314)(150, 312, 156, 318, 154, 316)(325, 487, 327, 489, 330, 492)(326, 488, 331, 493, 333, 495)(328, 490, 338, 500, 335, 497)(329, 491, 339, 501, 340, 502)(332, 494, 346, 508, 344, 506)(334, 496, 349, 511, 351, 513)(336, 498, 353, 515, 354, 516)(337, 499, 355, 517, 356, 518)(341, 503, 363, 525, 364, 526)(342, 504, 365, 527, 366, 528)(343, 505, 367, 529, 369, 531)(345, 507, 371, 533, 372, 534)(347, 509, 375, 537, 376, 538)(348, 510, 377, 539, 378, 540)(350, 512, 381, 543, 380, 542)(352, 514, 383, 545, 384, 546)(357, 519, 393, 555, 394, 556)(358, 520, 395, 557, 396, 558)(359, 521, 385, 547, 397, 559)(360, 522, 398, 560, 399, 561)(361, 523, 387, 549, 400, 562)(362, 524, 401, 563, 402, 564)(368, 530, 409, 571, 408, 570)(370, 532, 411, 573, 412, 574)(373, 535, 413, 575, 414, 576)(374, 536, 415, 577, 416, 578)(379, 541, 419, 581, 421, 583)(382, 544, 423, 585, 424, 586)(386, 548, 429, 591, 430, 592)(388, 550, 431, 593, 432, 594)(389, 551, 433, 595, 434, 596)(390, 552, 435, 597, 426, 588)(391, 553, 436, 598, 437, 599)(392, 554, 438, 600, 428, 590)(403, 565, 443, 605, 444, 606)(404, 566, 445, 607, 446, 608)(405, 567, 447, 609, 448, 610)(406, 568, 449, 611, 450, 612)(407, 569, 451, 613, 453, 615)(410, 572, 455, 617, 456, 618)(417, 579, 459, 621, 460, 622)(418, 580, 461, 623, 462, 624)(420, 582, 464, 626, 463, 625)(422, 584, 465, 627, 466, 628)(425, 587, 467, 629, 468, 630)(427, 589, 469, 631, 470, 632)(439, 601, 471, 633, 472, 634)(440, 602, 473, 635, 474, 636)(441, 603, 475, 637, 476, 638)(442, 604, 477, 639, 478, 640)(452, 614, 480, 642, 479, 641)(454, 616, 481, 643, 482, 644)(457, 619, 483, 645, 484, 646)(458, 620, 485, 647, 486, 648)
	L = (1, 328)(2, 332)(3, 335)(4, 325)(5, 337)(6, 338)(7, 344)(8, 326)(9, 346)(10, 350)(11, 327)(12, 352)(13, 329)(14, 330)(15, 356)(16, 355)(17, 358)(18, 357)(19, 368)(20, 331)(21, 370)(22, 333)(23, 374)(24, 373)(25, 380)(26, 334)(27, 381)(28, 336)(29, 384)(30, 383)(31, 340)(32, 339)(33, 342)(34, 341)(35, 392)(36, 391)(37, 390)(38, 389)(39, 396)(40, 395)(41, 394)(42, 393)(43, 408)(44, 343)(45, 409)(46, 345)(47, 412)(48, 411)(49, 348)(50, 347)(51, 416)(52, 415)(53, 414)(54, 413)(55, 420)(56, 349)(57, 351)(58, 422)(59, 354)(60, 353)(61, 428)(62, 427)(63, 426)(64, 425)(65, 362)(66, 361)(67, 360)(68, 359)(69, 366)(70, 365)(71, 364)(72, 363)(73, 438)(74, 437)(75, 436)(76, 435)(77, 434)(78, 433)(79, 442)(80, 441)(81, 440)(82, 439)(83, 452)(84, 367)(85, 369)(86, 454)(87, 372)(88, 371)(89, 378)(90, 377)(91, 376)(92, 375)(93, 458)(94, 457)(95, 463)(96, 379)(97, 464)(98, 382)(99, 466)(100, 465)(101, 388)(102, 387)(103, 386)(104, 385)(105, 470)(106, 469)(107, 468)(108, 467)(109, 402)(110, 401)(111, 400)(112, 399)(113, 398)(114, 397)(115, 406)(116, 405)(117, 404)(118, 403)(119, 478)(120, 477)(121, 476)(122, 475)(123, 474)(124, 473)(125, 472)(126, 471)(127, 479)(128, 407)(129, 480)(130, 410)(131, 482)(132, 481)(133, 418)(134, 417)(135, 486)(136, 485)(137, 484)(138, 483)(139, 419)(140, 421)(141, 424)(142, 423)(143, 432)(144, 431)(145, 430)(146, 429)(147, 450)(148, 449)(149, 448)(150, 447)(151, 446)(152, 445)(153, 444)(154, 443)(155, 451)(156, 453)(157, 456)(158, 455)(159, 462)(160, 461)(161, 460)(162, 459)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2716
Graph:: simple bipartite
	v = 108 e = 324 f = 162
	degree seq :: [ 6^108 ]

E28.2720 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: halfedge^2
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 21>)
Aut   = C2 x (((C9 x C3) : C3) : C2) (small group id <324, 79>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^3, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y2 * Y3 * Y1^-1)^2, Y3 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, (Y1^-1 * Y2 * Y3 * Y2)^2, (Y1^-1 * Y2 * Y3)^3, (Y2 * Y3 * Y1)^3, Y2 * Y1 * Y3 * Y2 * Y1^-1 * Y3 * Y1 * Y2 * Y3 * Y1^-1, (Y2 * Y1 * Y3 * Y1^-1)^3, (Y3 * Y1 * Y2 * Y1^-1)^3, (Y2 * Y1 * Y2 * Y1^-1)^3 ]
Map:: polyhedral non-degenerate
	R = (1, 164, 2, 167, 5, 163)(3, 170, 8, 172, 10, 165)(4, 173, 11, 175, 13, 166)(6, 178, 16, 180, 18, 168)(7, 181, 19, 183, 21, 169)(9, 186, 24, 188, 26, 171)(12, 193, 31, 195, 33, 174)(14, 198, 36, 200, 38, 176)(15, 201, 39, 203, 41, 177)(17, 206, 44, 208, 46, 179)(20, 213, 51, 215, 53, 182)(22, 218, 56, 220, 58, 184)(23, 221, 59, 223, 61, 185)(25, 226, 64, 207, 45, 187)(27, 230, 68, 212, 50, 189)(28, 232, 70, 205, 43, 190)(29, 234, 72, 236, 74, 191)(30, 237, 75, 238, 76, 192)(32, 240, 78, 214, 52, 194)(34, 243, 81, 211, 49, 196)(35, 245, 83, 204, 42, 197)(37, 248, 86, 249, 87, 199)(40, 252, 90, 253, 91, 202)(47, 260, 98, 251, 89, 209)(48, 262, 100, 247, 85, 210)(54, 267, 105, 250, 88, 216)(55, 269, 107, 246, 84, 217)(57, 271, 109, 272, 110, 219)(60, 244, 82, 266, 104, 222)(62, 255, 93, 268, 106, 224)(63, 259, 97, 279, 117, 225)(65, 281, 119, 276, 114, 227)(66, 283, 121, 275, 113, 228)(67, 284, 122, 270, 108, 229)(69, 254, 92, 287, 125, 231)(71, 258, 96, 235, 73, 233)(77, 264, 102, 263, 101, 239)(79, 296, 134, 291, 129, 241)(80, 298, 136, 290, 128, 242)(94, 303, 141, 297, 135, 256)(95, 305, 143, 304, 142, 257)(99, 302, 140, 282, 120, 261)(103, 311, 149, 310, 148, 265)(111, 306, 144, 289, 127, 273)(112, 312, 150, 286, 124, 274)(115, 308, 146, 288, 126, 277)(116, 313, 151, 285, 123, 278)(118, 317, 155, 316, 154, 280)(130, 307, 145, 301, 139, 292)(131, 309, 147, 300, 138, 293)(132, 314, 152, 299, 137, 294)(133, 323, 161, 320, 158, 295)(153, 322, 160, 319, 157, 315)(156, 324, 162, 321, 159, 318)
	L = (1, 3)(2, 6)(4, 12)(5, 14)(7, 20)(8, 22)(9, 25)(10, 27)(11, 29)(13, 34)(15, 40)(16, 42)(17, 45)(18, 47)(19, 49)(21, 54)(23, 60)(24, 62)(26, 66)(28, 71)(30, 67)(31, 69)(32, 79)(33, 57)(35, 63)(36, 84)(37, 64)(38, 75)(39, 88)(41, 72)(43, 93)(44, 80)(46, 96)(48, 101)(50, 97)(51, 99)(52, 103)(53, 92)(55, 94)(56, 108)(58, 111)(59, 113)(61, 115)(65, 120)(68, 123)(70, 126)(73, 129)(74, 130)(76, 131)(77, 87)(78, 133)(81, 137)(82, 134)(83, 138)(85, 136)(86, 104)(89, 141)(90, 110)(91, 140)(95, 109)(98, 144)(100, 146)(102, 148)(105, 150)(106, 149)(107, 151)(112, 154)(114, 139)(116, 153)(117, 156)(118, 125)(119, 132)(121, 158)(122, 159)(124, 143)(127, 160)(128, 161)(135, 162)(142, 152)(145, 155)(147, 157)(163, 166)(164, 169)(165, 171)(167, 177)(168, 179)(170, 185)(172, 190)(173, 192)(174, 194)(175, 197)(176, 199)(178, 205)(180, 210)(181, 212)(182, 214)(183, 217)(184, 219)(186, 225)(187, 227)(188, 229)(189, 231)(191, 235)(193, 239)(195, 242)(196, 244)(198, 247)(200, 221)(201, 251)(202, 240)(203, 218)(204, 254)(206, 256)(207, 257)(208, 259)(209, 261)(211, 264)(213, 228)(215, 266)(216, 268)(220, 274)(222, 276)(223, 278)(224, 253)(226, 280)(230, 286)(232, 289)(233, 281)(234, 290)(236, 277)(237, 272)(238, 294)(241, 297)(243, 288)(245, 301)(246, 302)(248, 270)(249, 303)(250, 283)(252, 258)(255, 304)(260, 307)(262, 309)(263, 305)(265, 284)(267, 308)(269, 314)(271, 315)(273, 296)(275, 317)(279, 295)(282, 319)(285, 291)(287, 322)(292, 321)(293, 320)(298, 316)(299, 318)(300, 311)(306, 310)(312, 324)(313, 323)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 54 e = 162 f = 54
	degree seq :: [ 6^54 ]

E28.2721 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 21>)
Aut   = C2 x (((C9 x C3) : C3) : C2) (small group id <324, 79>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, R * Y2 * R * Y1, (R * Y3)^2, (Y2 * Y1)^3, Y3^-1 * Y2 * Y1 * Y3^-1 * Y1 * Y3 * Y2, (Y3 * Y1 * Y3^-1 * Y2 * Y3 * Y1)^2 ]
Map:: polytopal
	R = (1, 163, 4, 166, 5, 167)(2, 164, 7, 169, 8, 170)(3, 165, 10, 172, 11, 173)(6, 168, 17, 179, 18, 180)(9, 171, 23, 185, 24, 186)(12, 174, 30, 192, 31, 193)(13, 175, 33, 195, 34, 196)(14, 176, 36, 198, 37, 199)(15, 177, 39, 201, 40, 202)(16, 178, 41, 203, 42, 204)(19, 181, 46, 208, 47, 209)(20, 182, 49, 211, 29, 191)(21, 183, 26, 188, 51, 213)(22, 184, 53, 215, 54, 216)(25, 187, 55, 217, 56, 218)(27, 189, 38, 200, 57, 219)(28, 190, 58, 220, 59, 221)(32, 194, 64, 226, 65, 227)(35, 197, 61, 223, 68, 230)(43, 205, 73, 235, 74, 236)(44, 206, 52, 214, 75, 237)(45, 207, 76, 238, 77, 239)(48, 210, 82, 244, 83, 245)(50, 212, 79, 241, 86, 248)(60, 222, 98, 260, 99, 261)(62, 224, 67, 229, 102, 264)(63, 225, 104, 266, 105, 267)(66, 228, 106, 268, 107, 269)(69, 231, 72, 234, 110, 272)(70, 232, 111, 273, 112, 274)(71, 233, 113, 275, 114, 276)(78, 240, 121, 283, 122, 284)(80, 242, 85, 247, 125, 287)(81, 243, 126, 288, 127, 289)(84, 246, 103, 265, 128, 290)(87, 249, 90, 252, 131, 293)(88, 250, 132, 294, 92, 254)(89, 251, 133, 295, 134, 296)(91, 253, 135, 297, 136, 298)(93, 255, 137, 299, 138, 300)(94, 256, 97, 259, 139, 301)(95, 257, 140, 302, 108, 270)(96, 258, 141, 303, 142, 304)(100, 262, 145, 307, 146, 308)(101, 263, 143, 305, 147, 309)(109, 271, 148, 310, 144, 306)(115, 277, 149, 311, 150, 312)(116, 278, 151, 313, 152, 314)(117, 279, 120, 282, 153, 315)(118, 280, 154, 316, 129, 291)(119, 281, 155, 317, 156, 318)(123, 285, 159, 321, 160, 322)(124, 286, 157, 319, 161, 323)(130, 292, 162, 324, 158, 320)(325, 326)(327, 333)(328, 336)(329, 338)(330, 340)(331, 343)(332, 345)(334, 349)(335, 351)(337, 356)(339, 362)(341, 367)(342, 368)(344, 372)(346, 376)(347, 374)(348, 358)(350, 369)(352, 360)(353, 366)(354, 384)(355, 386)(357, 390)(359, 365)(361, 393)(363, 395)(364, 389)(370, 402)(371, 404)(373, 408)(375, 411)(377, 413)(378, 407)(379, 415)(380, 416)(381, 418)(382, 420)(383, 401)(385, 424)(387, 427)(388, 425)(391, 409)(392, 432)(394, 419)(396, 433)(397, 439)(398, 436)(399, 441)(400, 443)(403, 447)(405, 430)(406, 448)(410, 453)(412, 442)(414, 454)(417, 444)(421, 440)(422, 455)(423, 468)(426, 465)(428, 458)(429, 470)(431, 459)(434, 445)(435, 457)(437, 456)(438, 450)(446, 482)(449, 479)(451, 484)(452, 473)(460, 476)(461, 485)(462, 474)(463, 483)(464, 481)(466, 486)(467, 478)(469, 477)(471, 475)(472, 480)(487, 489)(488, 492)(490, 499)(491, 501)(493, 506)(494, 508)(495, 502)(496, 512)(497, 514)(498, 515)(500, 521)(503, 522)(504, 531)(505, 520)(507, 536)(509, 538)(510, 534)(511, 530)(513, 529)(516, 547)(517, 549)(518, 528)(519, 553)(523, 556)(524, 527)(525, 558)(526, 546)(532, 565)(533, 567)(535, 571)(537, 574)(539, 576)(540, 564)(541, 559)(542, 579)(543, 581)(544, 583)(545, 577)(548, 587)(550, 589)(551, 586)(552, 570)(554, 595)(555, 580)(557, 594)(560, 602)(561, 604)(562, 606)(563, 601)(566, 610)(568, 592)(569, 609)(572, 616)(573, 603)(575, 615)(578, 605)(582, 598)(584, 629)(585, 618)(588, 622)(590, 628)(591, 617)(593, 624)(596, 613)(597, 608)(599, 631)(600, 623)(607, 643)(611, 636)(612, 642)(614, 638)(619, 645)(620, 637)(621, 641)(625, 644)(626, 646)(627, 635)(630, 639)(632, 640)(633, 648)(634, 647)
	L = (1, 325)(2, 326)(3, 327)(4, 328)(5, 329)(6, 330)(7, 331)(8, 332)(9, 333)(10, 334)(11, 335)(12, 336)(13, 337)(14, 338)(15, 339)(16, 340)(17, 341)(18, 342)(19, 343)(20, 344)(21, 345)(22, 346)(23, 347)(24, 348)(25, 349)(26, 350)(27, 351)(28, 352)(29, 353)(30, 354)(31, 355)(32, 356)(33, 357)(34, 358)(35, 359)(36, 360)(37, 361)(38, 362)(39, 363)(40, 364)(41, 365)(42, 366)(43, 367)(44, 368)(45, 369)(46, 370)(47, 371)(48, 372)(49, 373)(50, 374)(51, 375)(52, 376)(53, 377)(54, 378)(55, 379)(56, 380)(57, 381)(58, 382)(59, 383)(60, 384)(61, 385)(62, 386)(63, 387)(64, 388)(65, 389)(66, 390)(67, 391)(68, 392)(69, 393)(70, 394)(71, 395)(72, 396)(73, 397)(74, 398)(75, 399)(76, 400)(77, 401)(78, 402)(79, 403)(80, 404)(81, 405)(82, 406)(83, 407)(84, 408)(85, 409)(86, 410)(87, 411)(88, 412)(89, 413)(90, 414)(91, 415)(92, 416)(93, 417)(94, 418)(95, 419)(96, 420)(97, 421)(98, 422)(99, 423)(100, 424)(101, 425)(102, 426)(103, 427)(104, 428)(105, 429)(106, 430)(107, 431)(108, 432)(109, 433)(110, 434)(111, 435)(112, 436)(113, 437)(114, 438)(115, 439)(116, 440)(117, 441)(118, 442)(119, 443)(120, 444)(121, 445)(122, 446)(123, 447)(124, 448)(125, 449)(126, 450)(127, 451)(128, 452)(129, 453)(130, 454)(131, 455)(132, 456)(133, 457)(134, 458)(135, 459)(136, 460)(137, 461)(138, 462)(139, 463)(140, 464)(141, 465)(142, 466)(143, 467)(144, 468)(145, 469)(146, 470)(147, 471)(148, 472)(149, 473)(150, 474)(151, 475)(152, 476)(153, 477)(154, 478)(155, 479)(156, 480)(157, 481)(158, 482)(159, 483)(160, 484)(161, 485)(162, 486)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2722
Graph:: simple bipartite
	v = 216 e = 324 f = 54
	degree seq :: [ 2^162, 6^54 ]

E28.2722 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 21>)
Aut   = C2 x (((C9 x C3) : C3) : C2) (small group id <324, 79>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, R * Y2 * R * Y1, (R * Y3)^2, (Y2 * Y1)^3, Y3^-1 * Y2 * Y1 * Y3^-1 * Y1 * Y3 * Y2, (Y3 * Y1 * Y3^-1 * Y2 * Y3 * Y1)^2 ]
Map::
	R = (1, 163, 325, 487, 4, 166, 328, 490, 5, 167, 329, 491)(2, 164, 326, 488, 7, 169, 331, 493, 8, 170, 332, 494)(3, 165, 327, 489, 10, 172, 334, 496, 11, 173, 335, 497)(6, 168, 330, 492, 17, 179, 341, 503, 18, 180, 342, 504)(9, 171, 333, 495, 23, 185, 347, 509, 24, 186, 348, 510)(12, 174, 336, 498, 30, 192, 354, 516, 31, 193, 355, 517)(13, 175, 337, 499, 33, 195, 357, 519, 34, 196, 358, 520)(14, 176, 338, 500, 36, 198, 360, 522, 37, 199, 361, 523)(15, 177, 339, 501, 39, 201, 363, 525, 40, 202, 364, 526)(16, 178, 340, 502, 41, 203, 365, 527, 42, 204, 366, 528)(19, 181, 343, 505, 46, 208, 370, 532, 47, 209, 371, 533)(20, 182, 344, 506, 49, 211, 373, 535, 29, 191, 353, 515)(21, 183, 345, 507, 26, 188, 350, 512, 51, 213, 375, 537)(22, 184, 346, 508, 53, 215, 377, 539, 54, 216, 378, 540)(25, 187, 349, 511, 55, 217, 379, 541, 56, 218, 380, 542)(27, 189, 351, 513, 38, 200, 362, 524, 57, 219, 381, 543)(28, 190, 352, 514, 58, 220, 382, 544, 59, 221, 383, 545)(32, 194, 356, 518, 64, 226, 388, 550, 65, 227, 389, 551)(35, 197, 359, 521, 61, 223, 385, 547, 68, 230, 392, 554)(43, 205, 367, 529, 73, 235, 397, 559, 74, 236, 398, 560)(44, 206, 368, 530, 52, 214, 376, 538, 75, 237, 399, 561)(45, 207, 369, 531, 76, 238, 400, 562, 77, 239, 401, 563)(48, 210, 372, 534, 82, 244, 406, 568, 83, 245, 407, 569)(50, 212, 374, 536, 79, 241, 403, 565, 86, 248, 410, 572)(60, 222, 384, 546, 98, 260, 422, 584, 99, 261, 423, 585)(62, 224, 386, 548, 67, 229, 391, 553, 102, 264, 426, 588)(63, 225, 387, 549, 104, 266, 428, 590, 105, 267, 429, 591)(66, 228, 390, 552, 106, 268, 430, 592, 107, 269, 431, 593)(69, 231, 393, 555, 72, 234, 396, 558, 110, 272, 434, 596)(70, 232, 394, 556, 111, 273, 435, 597, 112, 274, 436, 598)(71, 233, 395, 557, 113, 275, 437, 599, 114, 276, 438, 600)(78, 240, 402, 564, 121, 283, 445, 607, 122, 284, 446, 608)(80, 242, 404, 566, 85, 247, 409, 571, 125, 287, 449, 611)(81, 243, 405, 567, 126, 288, 450, 612, 127, 289, 451, 613)(84, 246, 408, 570, 103, 265, 427, 589, 128, 290, 452, 614)(87, 249, 411, 573, 90, 252, 414, 576, 131, 293, 455, 617)(88, 250, 412, 574, 132, 294, 456, 618, 92, 254, 416, 578)(89, 251, 413, 575, 133, 295, 457, 619, 134, 296, 458, 620)(91, 253, 415, 577, 135, 297, 459, 621, 136, 298, 460, 622)(93, 255, 417, 579, 137, 299, 461, 623, 138, 300, 462, 624)(94, 256, 418, 580, 97, 259, 421, 583, 139, 301, 463, 625)(95, 257, 419, 581, 140, 302, 464, 626, 108, 270, 432, 594)(96, 258, 420, 582, 141, 303, 465, 627, 142, 304, 466, 628)(100, 262, 424, 586, 145, 307, 469, 631, 146, 308, 470, 632)(101, 263, 425, 587, 143, 305, 467, 629, 147, 309, 471, 633)(109, 271, 433, 595, 148, 310, 472, 634, 144, 306, 468, 630)(115, 277, 439, 601, 149, 311, 473, 635, 150, 312, 474, 636)(116, 278, 440, 602, 151, 313, 475, 637, 152, 314, 476, 638)(117, 279, 441, 603, 120, 282, 444, 606, 153, 315, 477, 639)(118, 280, 442, 604, 154, 316, 478, 640, 129, 291, 453, 615)(119, 281, 443, 605, 155, 317, 479, 641, 156, 318, 480, 642)(123, 285, 447, 609, 159, 321, 483, 645, 160, 322, 484, 646)(124, 286, 448, 610, 157, 319, 481, 643, 161, 323, 485, 647)(130, 292, 454, 616, 162, 324, 486, 648, 158, 320, 482, 644)
	L = (1, 164)(2, 163)(3, 171)(4, 174)(5, 176)(6, 178)(7, 181)(8, 183)(9, 165)(10, 187)(11, 189)(12, 166)(13, 194)(14, 167)(15, 200)(16, 168)(17, 205)(18, 206)(19, 169)(20, 210)(21, 170)(22, 214)(23, 212)(24, 196)(25, 172)(26, 207)(27, 173)(28, 198)(29, 204)(30, 222)(31, 224)(32, 175)(33, 228)(34, 186)(35, 203)(36, 190)(37, 231)(38, 177)(39, 233)(40, 227)(41, 197)(42, 191)(43, 179)(44, 180)(45, 188)(46, 240)(47, 242)(48, 182)(49, 246)(50, 185)(51, 249)(52, 184)(53, 251)(54, 245)(55, 253)(56, 254)(57, 256)(58, 258)(59, 239)(60, 192)(61, 262)(62, 193)(63, 265)(64, 263)(65, 202)(66, 195)(67, 247)(68, 270)(69, 199)(70, 257)(71, 201)(72, 271)(73, 277)(74, 274)(75, 279)(76, 281)(77, 221)(78, 208)(79, 285)(80, 209)(81, 268)(82, 286)(83, 216)(84, 211)(85, 229)(86, 291)(87, 213)(88, 280)(89, 215)(90, 292)(91, 217)(92, 218)(93, 282)(94, 219)(95, 232)(96, 220)(97, 278)(98, 293)(99, 306)(100, 223)(101, 226)(102, 303)(103, 225)(104, 296)(105, 308)(106, 243)(107, 297)(108, 230)(109, 234)(110, 283)(111, 295)(112, 236)(113, 294)(114, 288)(115, 235)(116, 259)(117, 237)(118, 250)(119, 238)(120, 255)(121, 272)(122, 320)(123, 241)(124, 244)(125, 317)(126, 276)(127, 322)(128, 311)(129, 248)(130, 252)(131, 260)(132, 275)(133, 273)(134, 266)(135, 269)(136, 314)(137, 323)(138, 312)(139, 321)(140, 319)(141, 264)(142, 324)(143, 316)(144, 261)(145, 315)(146, 267)(147, 313)(148, 318)(149, 290)(150, 300)(151, 309)(152, 298)(153, 307)(154, 305)(155, 287)(156, 310)(157, 302)(158, 284)(159, 301)(160, 289)(161, 299)(162, 304)(325, 489)(326, 492)(327, 487)(328, 499)(329, 501)(330, 488)(331, 506)(332, 508)(333, 502)(334, 512)(335, 514)(336, 515)(337, 490)(338, 521)(339, 491)(340, 495)(341, 522)(342, 531)(343, 520)(344, 493)(345, 536)(346, 494)(347, 538)(348, 534)(349, 530)(350, 496)(351, 529)(352, 497)(353, 498)(354, 547)(355, 549)(356, 528)(357, 553)(358, 505)(359, 500)(360, 503)(361, 556)(362, 527)(363, 558)(364, 546)(365, 524)(366, 518)(367, 513)(368, 511)(369, 504)(370, 565)(371, 567)(372, 510)(373, 571)(374, 507)(375, 574)(376, 509)(377, 576)(378, 564)(379, 559)(380, 579)(381, 581)(382, 583)(383, 577)(384, 526)(385, 516)(386, 587)(387, 517)(388, 589)(389, 586)(390, 570)(391, 519)(392, 595)(393, 580)(394, 523)(395, 594)(396, 525)(397, 541)(398, 602)(399, 604)(400, 606)(401, 601)(402, 540)(403, 532)(404, 610)(405, 533)(406, 592)(407, 609)(408, 552)(409, 535)(410, 616)(411, 603)(412, 537)(413, 615)(414, 539)(415, 545)(416, 605)(417, 542)(418, 555)(419, 543)(420, 598)(421, 544)(422, 629)(423, 618)(424, 551)(425, 548)(426, 622)(427, 550)(428, 628)(429, 617)(430, 568)(431, 624)(432, 557)(433, 554)(434, 613)(435, 608)(436, 582)(437, 631)(438, 623)(439, 563)(440, 560)(441, 573)(442, 561)(443, 578)(444, 562)(445, 643)(446, 597)(447, 569)(448, 566)(449, 636)(450, 642)(451, 596)(452, 638)(453, 575)(454, 572)(455, 591)(456, 585)(457, 645)(458, 637)(459, 641)(460, 588)(461, 600)(462, 593)(463, 644)(464, 646)(465, 635)(466, 590)(467, 584)(468, 639)(469, 599)(470, 640)(471, 648)(472, 647)(473, 627)(474, 611)(475, 620)(476, 614)(477, 630)(478, 632)(479, 621)(480, 612)(481, 607)(482, 625)(483, 619)(484, 626)(485, 634)(486, 633)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2721
Transitivity :: VT+
Graph:: bipartite
	v = 54 e = 324 f = 216
	degree seq :: [ 12^54 ]

E28.2723 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 21>)
Aut   = C2 x (((C9 x C3) : C3) : C2) (small group id <324, 79>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, (Y1 * Y3^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^3, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y3)^3, Y3 * Y2 * Y3^-1 * Y1 * Y2 * Y1, Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2 * Y3 * Y2 * Y3, Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y2 * Y3 * Y2 * Y3 * Y2 * Y1)^2, (Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 163, 2, 164)(3, 165, 11, 173)(4, 166, 10, 172)(5, 167, 16, 178)(6, 168, 8, 170)(7, 169, 21, 183)(9, 171, 26, 188)(12, 174, 33, 195)(13, 175, 25, 187)(14, 176, 28, 190)(15, 177, 23, 185)(17, 179, 41, 203)(18, 180, 24, 186)(19, 181, 46, 208)(20, 182, 48, 210)(22, 184, 36, 198)(27, 189, 38, 200)(29, 191, 50, 212)(30, 192, 43, 205)(31, 193, 61, 223)(32, 194, 64, 226)(34, 196, 66, 228)(35, 197, 63, 225)(37, 199, 68, 230)(39, 201, 47, 209)(40, 202, 73, 235)(42, 204, 75, 237)(44, 206, 62, 224)(45, 207, 78, 240)(49, 211, 60, 222)(51, 213, 87, 249)(52, 214, 89, 251)(53, 215, 91, 253)(54, 216, 72, 234)(55, 217, 70, 232)(56, 218, 94, 256)(57, 219, 96, 258)(58, 220, 88, 250)(59, 221, 98, 260)(65, 227, 67, 229)(69, 231, 93, 255)(71, 233, 100, 262)(74, 236, 77, 239)(76, 238, 80, 242)(79, 241, 119, 281)(81, 243, 124, 286)(82, 244, 121, 283)(83, 245, 126, 288)(84, 246, 102, 264)(85, 247, 125, 287)(86, 248, 128, 290)(90, 252, 92, 254)(95, 257, 97, 259)(99, 261, 114, 276)(101, 263, 130, 292)(103, 265, 140, 302)(104, 266, 147, 309)(105, 267, 142, 304)(106, 268, 112, 274)(107, 269, 148, 310)(108, 270, 150, 312)(109, 271, 141, 303)(110, 272, 152, 314)(111, 273, 145, 307)(113, 275, 155, 317)(115, 277, 131, 293)(116, 278, 136, 298)(117, 279, 127, 289)(118, 280, 133, 295)(120, 282, 144, 306)(122, 284, 143, 305)(123, 285, 138, 300)(129, 291, 146, 308)(132, 294, 158, 320)(134, 296, 139, 301)(135, 297, 157, 319)(137, 299, 162, 324)(149, 311, 151, 313)(153, 315, 154, 316)(156, 318, 161, 323)(159, 321, 160, 322)(325, 487, 327, 489, 329, 491)(326, 488, 331, 493, 333, 495)(328, 490, 338, 500, 339, 501)(330, 492, 343, 505, 344, 506)(332, 494, 348, 510, 349, 511)(334, 496, 353, 515, 354, 516)(335, 497, 355, 517, 356, 518)(336, 498, 358, 520, 359, 521)(337, 499, 360, 522, 361, 523)(340, 502, 363, 525, 364, 526)(341, 503, 366, 528, 367, 529)(342, 504, 368, 530, 369, 531)(345, 507, 375, 537, 376, 538)(346, 508, 377, 539, 378, 540)(347, 509, 357, 519, 379, 541)(350, 512, 373, 535, 380, 542)(351, 513, 381, 543, 372, 534)(352, 514, 382, 544, 383, 545)(362, 524, 395, 557, 396, 558)(365, 527, 400, 562, 387, 549)(370, 532, 405, 567, 406, 568)(371, 533, 407, 569, 408, 570)(374, 536, 409, 571, 410, 572)(384, 546, 425, 587, 426, 588)(385, 547, 427, 589, 428, 590)(386, 548, 429, 591, 430, 592)(388, 550, 393, 555, 431, 593)(389, 551, 432, 594, 392, 554)(390, 552, 433, 595, 434, 596)(391, 553, 435, 597, 436, 598)(394, 556, 414, 576, 437, 599)(397, 559, 403, 565, 439, 601)(398, 560, 440, 602, 402, 564)(399, 561, 441, 603, 442, 604)(401, 563, 444, 606, 445, 607)(404, 566, 446, 608, 447, 609)(411, 573, 455, 617, 456, 618)(412, 574, 457, 619, 458, 620)(413, 575, 417, 579, 459, 621)(415, 577, 460, 622, 461, 623)(416, 578, 462, 624, 463, 625)(418, 580, 423, 585, 464, 626)(419, 581, 465, 627, 422, 584)(420, 582, 453, 615, 466, 628)(421, 583, 467, 629, 452, 614)(424, 586, 468, 630, 469, 631)(438, 600, 478, 640, 482, 644)(443, 605, 483, 645, 471, 633)(448, 610, 474, 636, 480, 642)(449, 611, 479, 641, 475, 637)(450, 612, 472, 634, 477, 639)(451, 613, 476, 638, 473, 635)(454, 616, 481, 643, 484, 646)(470, 632, 486, 648, 485, 647)
	L = (1, 328)(2, 332)(3, 336)(4, 330)(5, 341)(6, 325)(7, 346)(8, 334)(9, 351)(10, 326)(11, 349)(12, 337)(13, 327)(14, 362)(15, 360)(16, 348)(17, 342)(18, 329)(19, 371)(20, 373)(21, 339)(22, 347)(23, 331)(24, 365)(25, 357)(26, 338)(27, 352)(28, 333)(29, 384)(30, 363)(31, 386)(32, 389)(33, 335)(34, 391)(35, 368)(36, 345)(37, 393)(38, 350)(39, 370)(40, 398)(41, 340)(42, 401)(43, 343)(44, 385)(45, 403)(46, 354)(47, 367)(48, 353)(49, 374)(50, 344)(51, 412)(52, 414)(53, 416)(54, 382)(55, 417)(56, 419)(57, 421)(58, 411)(59, 423)(60, 372)(61, 359)(62, 387)(63, 355)(64, 358)(65, 390)(66, 356)(67, 388)(68, 379)(69, 394)(70, 361)(71, 438)(72, 375)(73, 366)(74, 399)(75, 364)(76, 443)(77, 397)(78, 400)(79, 404)(80, 369)(81, 449)(82, 441)(83, 451)(84, 409)(85, 448)(86, 453)(87, 378)(88, 396)(89, 377)(90, 415)(91, 376)(92, 413)(93, 392)(94, 381)(95, 420)(96, 380)(97, 418)(98, 395)(99, 424)(100, 383)(101, 470)(102, 405)(103, 465)(104, 446)(105, 467)(106, 433)(107, 473)(108, 475)(109, 464)(110, 477)(111, 478)(112, 427)(113, 480)(114, 422)(115, 458)(116, 463)(117, 450)(118, 456)(119, 402)(120, 482)(121, 407)(122, 466)(123, 461)(124, 408)(125, 426)(126, 406)(127, 445)(128, 425)(129, 454)(130, 410)(131, 440)(132, 468)(133, 444)(134, 460)(135, 485)(136, 439)(137, 484)(138, 483)(139, 455)(140, 430)(141, 436)(142, 428)(143, 471)(144, 442)(145, 434)(146, 452)(147, 429)(148, 432)(149, 474)(150, 431)(151, 472)(152, 435)(153, 469)(154, 476)(155, 459)(156, 481)(157, 437)(158, 457)(159, 486)(160, 447)(161, 479)(162, 462)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 135 e = 324 f = 135
	degree seq :: [ 4^81, 6^54 ]

E28.2724 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 21>)
Aut   = C2 x (((C9 x C3) : C3) : C2) (small group id <324, 79>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y3 * Y2)^2, (Y1 * Y3 * Y2^-1)^2, (Y3^-1 * Y2^-1)^3, (Y3 * Y2^-1)^3, (Y3 * Y1 * Y2 * Y3)^2, Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y1 * Y2, Y2^-1 * Y3^3 * Y2 * Y3^-3, Y3^9 ]
Map:: polytopal non-degenerate
	R = (1, 163, 2, 164)(3, 165, 11, 173)(4, 166, 10, 172)(5, 167, 17, 179)(6, 168, 8, 170)(7, 169, 23, 185)(9, 171, 29, 191)(12, 174, 37, 199)(13, 175, 28, 190)(14, 176, 31, 193)(15, 177, 34, 196)(16, 178, 25, 187)(18, 180, 50, 212)(19, 181, 26, 188)(20, 182, 56, 218)(21, 183, 58, 220)(22, 184, 27, 189)(24, 186, 65, 227)(30, 192, 78, 240)(32, 194, 84, 246)(33, 195, 86, 248)(35, 197, 91, 253)(36, 198, 93, 255)(38, 200, 73, 235)(39, 201, 89, 251)(40, 202, 82, 244)(41, 203, 71, 233)(42, 204, 79, 241)(43, 205, 69, 231)(44, 206, 83, 245)(45, 207, 66, 228)(46, 208, 90, 252)(47, 209, 81, 243)(48, 210, 107, 269)(49, 211, 109, 271)(51, 213, 70, 232)(52, 214, 88, 250)(53, 215, 75, 237)(54, 216, 68, 230)(55, 217, 72, 234)(57, 219, 87, 249)(59, 221, 85, 247)(60, 222, 80, 242)(61, 223, 67, 229)(62, 224, 74, 236)(63, 225, 123, 285)(64, 226, 125, 287)(76, 238, 137, 299)(77, 239, 138, 300)(92, 254, 141, 303)(94, 256, 152, 314)(95, 257, 139, 301)(96, 258, 154, 316)(97, 259, 118, 280)(98, 260, 147, 309)(99, 261, 144, 306)(100, 262, 133, 295)(101, 263, 153, 315)(102, 264, 142, 304)(103, 265, 131, 293)(104, 266, 145, 307)(105, 267, 150, 312)(106, 268, 149, 311)(108, 270, 157, 319)(110, 272, 126, 288)(111, 273, 156, 318)(112, 274, 124, 286)(113, 275, 132, 294)(114, 276, 120, 282)(115, 277, 130, 292)(116, 278, 158, 320)(117, 279, 134, 296)(119, 281, 129, 291)(121, 283, 136, 298)(122, 284, 135, 297)(127, 289, 160, 322)(128, 290, 146, 308)(140, 302, 162, 324)(143, 305, 148, 310)(151, 313, 159, 321)(155, 317, 161, 323)(325, 487, 327, 489, 329, 491)(326, 488, 331, 493, 333, 495)(328, 490, 338, 500, 340, 502)(330, 492, 344, 506, 345, 507)(332, 494, 350, 512, 352, 514)(334, 496, 356, 518, 357, 519)(335, 497, 359, 521, 360, 522)(336, 498, 362, 524, 364, 526)(337, 499, 365, 527, 366, 528)(339, 501, 369, 531, 371, 533)(341, 503, 372, 534, 373, 535)(342, 504, 375, 537, 377, 539)(343, 505, 378, 540, 368, 530)(346, 508, 384, 546, 385, 547)(347, 509, 387, 549, 388, 550)(348, 510, 390, 552, 392, 554)(349, 511, 393, 555, 394, 556)(351, 513, 397, 559, 399, 561)(353, 515, 400, 562, 401, 563)(354, 516, 403, 565, 405, 567)(355, 517, 406, 568, 396, 558)(358, 520, 412, 574, 413, 575)(361, 523, 419, 581, 420, 582)(363, 525, 421, 583, 423, 585)(367, 529, 425, 587, 426, 588)(370, 532, 422, 584, 430, 592)(374, 536, 435, 597, 436, 598)(376, 538, 437, 599, 438, 600)(379, 541, 439, 601, 440, 602)(380, 542, 416, 578, 442, 604)(381, 543, 443, 605, 415, 577)(382, 544, 444, 606, 434, 596)(383, 545, 433, 595, 445, 607)(386, 548, 427, 589, 441, 603)(389, 551, 450, 612, 451, 613)(391, 553, 452, 614, 454, 616)(395, 557, 432, 594, 456, 618)(398, 560, 453, 615, 460, 622)(402, 564, 464, 626, 465, 627)(404, 566, 466, 628, 467, 629)(407, 569, 468, 630, 418, 580)(408, 570, 448, 610, 470, 632)(409, 571, 471, 633, 447, 609)(410, 572, 472, 634, 463, 625)(411, 573, 462, 624, 473, 635)(414, 576, 457, 619, 469, 631)(417, 579, 475, 637, 428, 590)(424, 586, 479, 641, 431, 593)(429, 591, 480, 642, 478, 640)(446, 608, 481, 643, 476, 638)(449, 611, 483, 645, 458, 620)(455, 617, 485, 647, 461, 623)(459, 621, 486, 648, 484, 646)(474, 636, 477, 639, 482, 644)
	L = (1, 328)(2, 332)(3, 336)(4, 339)(5, 342)(6, 325)(7, 348)(8, 351)(9, 354)(10, 326)(11, 352)(12, 363)(13, 327)(14, 368)(15, 370)(16, 365)(17, 350)(18, 376)(19, 329)(20, 381)(21, 383)(22, 330)(23, 340)(24, 391)(25, 331)(26, 396)(27, 398)(28, 393)(29, 338)(30, 404)(31, 333)(32, 409)(33, 411)(34, 334)(35, 416)(36, 418)(37, 335)(38, 345)(39, 422)(40, 378)(41, 424)(42, 401)(43, 337)(44, 428)(45, 388)(46, 429)(47, 400)(48, 432)(49, 434)(50, 341)(51, 366)(52, 430)(53, 344)(54, 387)(55, 343)(56, 399)(57, 410)(58, 397)(59, 408)(60, 402)(61, 389)(62, 346)(63, 448)(64, 440)(65, 347)(66, 357)(67, 453)(68, 406)(69, 455)(70, 373)(71, 349)(72, 458)(73, 360)(74, 459)(75, 372)(76, 425)(77, 463)(78, 353)(79, 394)(80, 460)(81, 356)(82, 359)(83, 355)(84, 371)(85, 382)(86, 369)(87, 380)(88, 374)(89, 361)(90, 358)(91, 364)(92, 466)(93, 362)(94, 477)(95, 462)(96, 457)(97, 443)(98, 470)(99, 475)(100, 478)(101, 476)(102, 465)(103, 367)(104, 480)(105, 446)(106, 472)(107, 377)(108, 482)(109, 375)(110, 454)(111, 469)(112, 447)(113, 479)(114, 445)(115, 450)(116, 481)(117, 379)(118, 420)(119, 385)(120, 435)(121, 384)(122, 386)(123, 392)(124, 437)(125, 390)(126, 433)(127, 427)(128, 471)(129, 442)(130, 483)(131, 484)(132, 436)(133, 395)(134, 486)(135, 474)(136, 444)(137, 405)(138, 403)(139, 423)(140, 441)(141, 415)(142, 485)(143, 473)(144, 419)(145, 407)(146, 451)(147, 413)(148, 464)(149, 412)(150, 414)(151, 439)(152, 417)(153, 461)(154, 421)(155, 426)(156, 438)(157, 431)(158, 449)(159, 468)(160, 452)(161, 456)(162, 467)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 135 e = 324 f = 135
	degree seq :: [ 4^81, 6^54 ]

E28.2725 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: halfedge^2
Aut^+ = (C3 x ((C3 x C3) : C3)) : C2 (small group id <162, 40>)
Aut   = (C3 x (((C3 x C3) : C3) : C2)) : C2 (small group id <324, 121>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^3, R * Y3 * R * Y2, (R * Y1)^2, Y2 * Y3 * Y1 * Y3 * Y2 * Y1^-1, (Y3 * Y2)^3, (Y2 * Y3 * Y1^-1)^3, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 164, 2, 167, 5, 163)(3, 170, 8, 172, 10, 165)(4, 173, 11, 175, 13, 166)(6, 178, 16, 180, 18, 168)(7, 181, 19, 183, 21, 169)(9, 179, 17, 187, 25, 171)(12, 182, 20, 191, 29, 174)(14, 193, 31, 194, 32, 176)(15, 195, 33, 196, 34, 177)(22, 204, 42, 205, 43, 184)(23, 206, 44, 208, 46, 185)(24, 207, 45, 209, 47, 186)(26, 211, 49, 212, 50, 188)(27, 213, 51, 214, 52, 189)(28, 215, 53, 216, 54, 190)(30, 217, 55, 218, 56, 192)(35, 225, 63, 226, 64, 197)(36, 227, 65, 229, 67, 198)(37, 228, 66, 230, 68, 199)(38, 231, 69, 232, 70, 200)(39, 233, 71, 234, 72, 201)(40, 235, 73, 236, 74, 202)(41, 237, 75, 238, 76, 203)(48, 245, 83, 246, 84, 210)(57, 253, 91, 254, 92, 219)(58, 255, 93, 256, 94, 220)(59, 257, 95, 258, 96, 221)(60, 259, 97, 260, 98, 222)(61, 261, 99, 262, 100, 223)(62, 263, 101, 264, 102, 224)(77, 277, 115, 278, 116, 239)(78, 279, 117, 280, 118, 240)(79, 271, 109, 281, 119, 241)(80, 272, 110, 282, 120, 242)(81, 283, 121, 284, 122, 243)(82, 275, 113, 285, 123, 244)(85, 286, 124, 287, 125, 247)(86, 288, 126, 289, 127, 248)(87, 290, 128, 265, 103, 249)(88, 291, 129, 266, 104, 250)(89, 292, 130, 293, 131, 251)(90, 294, 132, 269, 107, 252)(105, 298, 136, 301, 139, 267)(106, 299, 137, 302, 140, 268)(108, 300, 138, 303, 141, 270)(111, 304, 142, 295, 133, 273)(112, 305, 143, 296, 134, 274)(114, 306, 144, 297, 135, 276)(145, 316, 154, 322, 160, 307)(146, 317, 155, 323, 161, 308)(147, 318, 156, 324, 162, 309)(148, 319, 157, 313, 151, 310)(149, 320, 158, 314, 152, 311)(150, 321, 159, 315, 153, 312)
	L = (1, 3)(2, 6)(4, 12)(5, 14)(7, 20)(8, 22)(9, 24)(10, 26)(11, 28)(13, 30)(15, 29)(16, 35)(17, 37)(18, 38)(19, 40)(21, 41)(23, 45)(25, 48)(27, 47)(31, 57)(32, 59)(33, 61)(34, 62)(36, 66)(39, 68)(42, 77)(43, 79)(44, 81)(46, 82)(49, 85)(50, 87)(51, 89)(52, 90)(53, 78)(54, 80)(55, 86)(56, 88)(58, 83)(60, 84)(63, 103)(64, 105)(65, 107)(67, 108)(69, 109)(70, 111)(71, 113)(72, 114)(73, 104)(74, 106)(75, 110)(76, 112)(91, 133)(92, 125)(93, 135)(94, 131)(95, 136)(96, 115)(97, 138)(98, 121)(99, 134)(100, 127)(101, 137)(102, 117)(116, 145)(118, 147)(119, 148)(120, 150)(122, 146)(123, 149)(124, 151)(126, 153)(128, 154)(129, 156)(130, 152)(132, 155)(139, 157)(140, 159)(141, 158)(142, 160)(143, 162)(144, 161)(163, 166)(164, 169)(165, 171)(167, 177)(168, 179)(170, 185)(172, 189)(173, 184)(174, 186)(175, 188)(176, 187)(178, 198)(180, 201)(181, 197)(182, 199)(183, 200)(190, 207)(191, 210)(192, 209)(193, 220)(194, 222)(195, 219)(196, 221)(202, 228)(203, 230)(204, 240)(205, 242)(206, 239)(208, 241)(211, 248)(212, 250)(213, 247)(214, 249)(215, 243)(216, 244)(217, 251)(218, 252)(223, 245)(224, 246)(225, 266)(226, 268)(227, 265)(229, 267)(231, 272)(232, 274)(233, 271)(234, 273)(235, 269)(236, 270)(237, 275)(238, 276)(253, 296)(254, 289)(255, 295)(256, 287)(257, 299)(258, 279)(259, 298)(260, 277)(261, 297)(262, 293)(263, 300)(264, 283)(278, 308)(280, 307)(281, 311)(282, 310)(284, 309)(285, 312)(286, 314)(288, 313)(290, 317)(291, 316)(292, 315)(294, 318)(301, 320)(302, 319)(303, 321)(304, 323)(305, 322)(306, 324)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 54 e = 162 f = 54
	degree seq :: [ 6^54 ]

E28.2726 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
Aut^+ = (C3 x ((C3 x C3) : C3)) : C2 (small group id <162, 40>)
Aut   = (C3 x (((C3 x C3) : C3) : C2)) : C2 (small group id <324, 121>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1)^3, Y2 * Y3 * Y2 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1, (Y1 * Y3 * Y2)^3, (Y2 * Y1 * Y3)^3, (Y1 * Y3^-1 * Y2)^3, Y1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3 * Y2 * Y3 * Y2, (Y3^-1 * Y1 * Y3 * Y1 * Y2)^2, (Y3 * Y2 * Y3^-1 * Y1 * Y2)^2 ]
Map:: polytopal
	R = (1, 163, 4, 166, 5, 167)(2, 164, 7, 169, 8, 170)(3, 165, 10, 172, 11, 173)(6, 168, 17, 179, 18, 180)(9, 171, 23, 185, 24, 186)(12, 174, 30, 192, 31, 193)(13, 175, 33, 195, 34, 196)(14, 176, 36, 198, 37, 199)(15, 177, 39, 201, 40, 202)(16, 178, 41, 203, 42, 204)(19, 181, 48, 210, 49, 211)(20, 182, 51, 213, 52, 214)(21, 183, 54, 216, 55, 217)(22, 184, 57, 219, 58, 220)(25, 187, 64, 226, 65, 227)(26, 188, 67, 229, 68, 230)(27, 189, 70, 232, 71, 233)(28, 190, 73, 235, 74, 236)(29, 191, 76, 238, 77, 239)(32, 194, 79, 241, 80, 242)(35, 197, 85, 247, 86, 248)(38, 200, 90, 252, 91, 253)(43, 205, 97, 259, 98, 260)(44, 206, 100, 262, 101, 263)(45, 207, 102, 264, 103, 265)(46, 208, 105, 267, 106, 268)(47, 209, 108, 270, 109, 271)(50, 212, 69, 231, 111, 273)(53, 215, 116, 278, 117, 279)(56, 218, 121, 283, 63, 225)(59, 221, 110, 272, 124, 286)(60, 222, 125, 287, 126, 288)(61, 223, 128, 290, 129, 291)(62, 224, 130, 292, 122, 284)(66, 228, 132, 294, 133, 295)(72, 234, 139, 301, 140, 302)(75, 237, 141, 303, 137, 299)(78, 240, 143, 305, 93, 255)(81, 243, 87, 249, 145, 307)(82, 244, 146, 308, 115, 277)(83, 245, 89, 251, 147, 309)(84, 246, 113, 275, 148, 310)(88, 250, 131, 293, 150, 312)(92, 254, 96, 258, 152, 314)(94, 256, 153, 315, 154, 316)(95, 257, 155, 317, 156, 318)(99, 261, 127, 289, 157, 319)(104, 266, 161, 323, 123, 285)(107, 269, 162, 324, 159, 321)(112, 274, 118, 280, 149, 311)(114, 276, 120, 282, 142, 304)(119, 281, 151, 313, 134, 296)(135, 297, 138, 300, 144, 306)(136, 298, 158, 320, 160, 322)(325, 326)(327, 333)(328, 336)(329, 338)(330, 340)(331, 343)(332, 345)(334, 349)(335, 351)(337, 356)(339, 362)(341, 367)(342, 369)(344, 374)(346, 380)(347, 383)(348, 385)(350, 390)(352, 396)(353, 399)(354, 391)(355, 397)(357, 388)(358, 406)(359, 408)(360, 411)(361, 413)(363, 389)(364, 416)(365, 417)(366, 419)(368, 423)(370, 428)(371, 431)(372, 424)(373, 429)(375, 421)(376, 437)(377, 439)(378, 442)(379, 444)(381, 422)(382, 446)(384, 410)(386, 400)(387, 455)(392, 438)(393, 460)(394, 443)(395, 462)(398, 430)(401, 435)(402, 449)(403, 468)(404, 433)(405, 436)(407, 425)(409, 445)(412, 426)(414, 440)(415, 475)(418, 441)(420, 432)(427, 484)(434, 477)(447, 473)(448, 476)(450, 482)(451, 466)(452, 483)(453, 470)(454, 467)(456, 471)(457, 485)(458, 486)(459, 478)(461, 479)(463, 481)(464, 469)(465, 474)(472, 480)(487, 489)(488, 492)(490, 499)(491, 501)(493, 506)(494, 508)(495, 502)(496, 512)(497, 514)(498, 515)(500, 521)(503, 530)(504, 532)(505, 533)(507, 539)(509, 546)(510, 548)(511, 549)(513, 555)(516, 564)(517, 543)(518, 561)(519, 567)(520, 569)(522, 574)(523, 544)(524, 570)(525, 535)(526, 541)(527, 580)(528, 582)(529, 577)(531, 565)(534, 596)(536, 593)(537, 598)(538, 600)(540, 605)(542, 601)(545, 609)(547, 613)(550, 583)(551, 616)(552, 617)(553, 620)(554, 621)(556, 623)(557, 608)(558, 622)(559, 610)(560, 615)(562, 628)(563, 619)(566, 607)(568, 612)(571, 625)(572, 635)(573, 614)(575, 624)(576, 597)(578, 589)(579, 626)(581, 618)(584, 638)(585, 637)(586, 636)(587, 644)(588, 645)(590, 630)(591, 629)(592, 642)(594, 633)(595, 643)(599, 640)(602, 647)(603, 631)(604, 641)(606, 646)(611, 648)(627, 639)(632, 634)
	L = (1, 325)(2, 326)(3, 327)(4, 328)(5, 329)(6, 330)(7, 331)(8, 332)(9, 333)(10, 334)(11, 335)(12, 336)(13, 337)(14, 338)(15, 339)(16, 340)(17, 341)(18, 342)(19, 343)(20, 344)(21, 345)(22, 346)(23, 347)(24, 348)(25, 349)(26, 350)(27, 351)(28, 352)(29, 353)(30, 354)(31, 355)(32, 356)(33, 357)(34, 358)(35, 359)(36, 360)(37, 361)(38, 362)(39, 363)(40, 364)(41, 365)(42, 366)(43, 367)(44, 368)(45, 369)(46, 370)(47, 371)(48, 372)(49, 373)(50, 374)(51, 375)(52, 376)(53, 377)(54, 378)(55, 379)(56, 380)(57, 381)(58, 382)(59, 383)(60, 384)(61, 385)(62, 386)(63, 387)(64, 388)(65, 389)(66, 390)(67, 391)(68, 392)(69, 393)(70, 394)(71, 395)(72, 396)(73, 397)(74, 398)(75, 399)(76, 400)(77, 401)(78, 402)(79, 403)(80, 404)(81, 405)(82, 406)(83, 407)(84, 408)(85, 409)(86, 410)(87, 411)(88, 412)(89, 413)(90, 414)(91, 415)(92, 416)(93, 417)(94, 418)(95, 419)(96, 420)(97, 421)(98, 422)(99, 423)(100, 424)(101, 425)(102, 426)(103, 427)(104, 428)(105, 429)(106, 430)(107, 431)(108, 432)(109, 433)(110, 434)(111, 435)(112, 436)(113, 437)(114, 438)(115, 439)(116, 440)(117, 441)(118, 442)(119, 443)(120, 444)(121, 445)(122, 446)(123, 447)(124, 448)(125, 449)(126, 450)(127, 451)(128, 452)(129, 453)(130, 454)(131, 455)(132, 456)(133, 457)(134, 458)(135, 459)(136, 460)(137, 461)(138, 462)(139, 463)(140, 464)(141, 465)(142, 466)(143, 467)(144, 468)(145, 469)(146, 470)(147, 471)(148, 472)(149, 473)(150, 474)(151, 475)(152, 476)(153, 477)(154, 478)(155, 479)(156, 480)(157, 481)(158, 482)(159, 483)(160, 484)(161, 485)(162, 486)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2728
Graph:: simple bipartite
	v = 216 e = 324 f = 54
	degree seq :: [ 2^162, 6^54 ]

E28.2727 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
Aut^+ = (C3 x ((C3 x C3) : C3)) : C2 (small group id <162, 40>)
Aut   = S3 x (((C3 x C3) : C3) : C2) (small group id <324, 116>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, (Y1^-1, Y2), (R * Y3)^2, R * Y2 * R * Y1, (Y3 * Y2^-1 * Y1^-1)^2, Y2^-1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1^-1, (Y3 * Y1 * Y3 * Y1^-1)^3, (Y3 * Y2 * Y3 * Y2^-1)^3, (Y3 * Y1 * Y3 * Y2^-1)^3, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 163, 4, 166)(2, 164, 8, 170)(3, 165, 10, 172)(5, 167, 16, 178)(6, 168, 18, 180)(7, 169, 19, 181)(9, 171, 24, 186)(11, 173, 29, 191)(12, 174, 31, 193)(13, 175, 33, 195)(14, 176, 35, 197)(15, 177, 36, 198)(17, 179, 30, 192)(20, 182, 41, 203)(21, 183, 42, 204)(22, 184, 43, 205)(23, 185, 44, 206)(25, 187, 45, 207)(26, 188, 46, 208)(27, 189, 47, 209)(28, 190, 48, 210)(32, 194, 53, 215)(34, 196, 58, 220)(37, 199, 63, 225)(38, 200, 64, 226)(39, 201, 65, 227)(40, 202, 66, 228)(49, 211, 91, 253)(50, 212, 92, 254)(51, 213, 93, 255)(52, 214, 94, 256)(54, 216, 95, 257)(55, 217, 96, 258)(56, 218, 97, 259)(57, 219, 98, 260)(59, 221, 99, 261)(60, 222, 100, 262)(61, 223, 101, 263)(62, 224, 102, 264)(67, 229, 103, 265)(68, 230, 104, 266)(69, 231, 105, 267)(70, 232, 106, 268)(71, 233, 107, 269)(72, 234, 108, 270)(73, 235, 109, 271)(74, 236, 110, 272)(75, 237, 111, 273)(76, 238, 112, 274)(77, 239, 113, 275)(78, 240, 114, 276)(79, 241, 115, 277)(80, 242, 116, 278)(81, 243, 117, 279)(82, 244, 118, 280)(83, 245, 119, 281)(84, 246, 120, 282)(85, 247, 121, 283)(86, 248, 122, 284)(87, 249, 123, 285)(88, 250, 124, 286)(89, 251, 125, 287)(90, 252, 126, 288)(127, 289, 145, 307)(128, 290, 146, 308)(129, 291, 147, 309)(130, 292, 148, 310)(131, 293, 149, 311)(132, 294, 150, 312)(133, 295, 151, 313)(134, 296, 152, 314)(135, 297, 153, 315)(136, 298, 154, 316)(137, 299, 155, 317)(138, 300, 156, 318)(139, 301, 157, 319)(140, 302, 158, 320)(141, 303, 159, 321)(142, 304, 160, 322)(143, 305, 161, 323)(144, 306, 162, 324)(325, 326, 329)(327, 331, 335)(328, 336, 338)(330, 333, 341)(332, 344, 346)(334, 349, 351)(337, 354, 358)(339, 356, 343)(340, 361, 350)(342, 363, 345)(347, 364, 353)(348, 352, 362)(355, 373, 375)(357, 378, 380)(359, 383, 379)(360, 385, 374)(365, 391, 393)(366, 395, 397)(367, 399, 396)(368, 401, 392)(369, 403, 405)(370, 407, 409)(371, 411, 408)(372, 413, 404)(376, 386, 382)(377, 381, 384)(387, 406, 414)(388, 410, 412)(389, 394, 402)(390, 398, 400)(415, 445, 452)(416, 434, 454)(417, 435, 453)(418, 448, 451)(419, 457, 440)(420, 459, 427)(421, 461, 430)(422, 462, 441)(423, 458, 450)(424, 460, 437)(425, 444, 456)(426, 431, 455)(428, 447, 464)(429, 443, 463)(432, 466, 442)(433, 468, 449)(436, 467, 439)(438, 446, 465)(469, 479, 486)(470, 477, 484)(471, 481, 476)(472, 482, 480)(473, 483, 475)(474, 478, 485)(487, 489, 492)(488, 493, 495)(490, 499, 501)(491, 497, 503)(494, 507, 509)(496, 512, 514)(498, 516, 518)(500, 520, 505)(502, 524, 511)(504, 526, 506)(508, 525, 515)(510, 513, 523)(517, 536, 538)(519, 541, 543)(521, 546, 540)(522, 548, 535)(527, 554, 556)(528, 558, 560)(529, 562, 557)(530, 564, 553)(531, 566, 568)(532, 570, 572)(533, 574, 569)(534, 576, 565)(537, 547, 544)(539, 542, 545)(549, 567, 575)(550, 571, 573)(551, 555, 563)(552, 559, 561)(577, 613, 606)(578, 615, 593)(579, 617, 596)(580, 618, 607)(581, 603, 620)(582, 592, 622)(583, 599, 621)(584, 612, 619)(585, 602, 624)(586, 589, 623)(587, 614, 610)(588, 616, 597)(590, 625, 608)(591, 627, 609)(594, 611, 629)(595, 601, 628)(598, 604, 630)(600, 626, 605)(631, 646, 640)(632, 647, 641)(633, 642, 645)(634, 637, 643)(635, 638, 644)(636, 648, 639)
	L = (1, 325)(2, 326)(3, 327)(4, 328)(5, 329)(6, 330)(7, 331)(8, 332)(9, 333)(10, 334)(11, 335)(12, 336)(13, 337)(14, 338)(15, 339)(16, 340)(17, 341)(18, 342)(19, 343)(20, 344)(21, 345)(22, 346)(23, 347)(24, 348)(25, 349)(26, 350)(27, 351)(28, 352)(29, 353)(30, 354)(31, 355)(32, 356)(33, 357)(34, 358)(35, 359)(36, 360)(37, 361)(38, 362)(39, 363)(40, 364)(41, 365)(42, 366)(43, 367)(44, 368)(45, 369)(46, 370)(47, 371)(48, 372)(49, 373)(50, 374)(51, 375)(52, 376)(53, 377)(54, 378)(55, 379)(56, 380)(57, 381)(58, 382)(59, 383)(60, 384)(61, 385)(62, 386)(63, 387)(64, 388)(65, 389)(66, 390)(67, 391)(68, 392)(69, 393)(70, 394)(71, 395)(72, 396)(73, 397)(74, 398)(75, 399)(76, 400)(77, 401)(78, 402)(79, 403)(80, 404)(81, 405)(82, 406)(83, 407)(84, 408)(85, 409)(86, 410)(87, 411)(88, 412)(89, 413)(90, 414)(91, 415)(92, 416)(93, 417)(94, 418)(95, 419)(96, 420)(97, 421)(98, 422)(99, 423)(100, 424)(101, 425)(102, 426)(103, 427)(104, 428)(105, 429)(106, 430)(107, 431)(108, 432)(109, 433)(110, 434)(111, 435)(112, 436)(113, 437)(114, 438)(115, 439)(116, 440)(117, 441)(118, 442)(119, 443)(120, 444)(121, 445)(122, 446)(123, 447)(124, 448)(125, 449)(126, 450)(127, 451)(128, 452)(129, 453)(130, 454)(131, 455)(132, 456)(133, 457)(134, 458)(135, 459)(136, 460)(137, 461)(138, 462)(139, 463)(140, 464)(141, 465)(142, 466)(143, 467)(144, 468)(145, 469)(146, 470)(147, 471)(148, 472)(149, 473)(150, 474)(151, 475)(152, 476)(153, 477)(154, 478)(155, 479)(156, 480)(157, 481)(158, 482)(159, 483)(160, 484)(161, 485)(162, 486)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 8^3 ), ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E28.2729
Graph:: simple bipartite
	v = 189 e = 324 f = 81
	degree seq :: [ 3^108, 4^81 ]

E28.2728 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
Aut^+ = (C3 x ((C3 x C3) : C3)) : C2 (small group id <162, 40>)
Aut   = (C3 x (((C3 x C3) : C3) : C2)) : C2 (small group id <324, 121>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1)^3, Y2 * Y3 * Y2 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1, (Y1 * Y3 * Y2)^3, (Y2 * Y1 * Y3)^3, (Y1 * Y3^-1 * Y2)^3, Y1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3 * Y2 * Y3 * Y2, (Y3^-1 * Y1 * Y3 * Y1 * Y2)^2, (Y3 * Y2 * Y3^-1 * Y1 * Y2)^2 ]
Map::
	R = (1, 163, 325, 487, 4, 166, 328, 490, 5, 167, 329, 491)(2, 164, 326, 488, 7, 169, 331, 493, 8, 170, 332, 494)(3, 165, 327, 489, 10, 172, 334, 496, 11, 173, 335, 497)(6, 168, 330, 492, 17, 179, 341, 503, 18, 180, 342, 504)(9, 171, 333, 495, 23, 185, 347, 509, 24, 186, 348, 510)(12, 174, 336, 498, 30, 192, 354, 516, 31, 193, 355, 517)(13, 175, 337, 499, 33, 195, 357, 519, 34, 196, 358, 520)(14, 176, 338, 500, 36, 198, 360, 522, 37, 199, 361, 523)(15, 177, 339, 501, 39, 201, 363, 525, 40, 202, 364, 526)(16, 178, 340, 502, 41, 203, 365, 527, 42, 204, 366, 528)(19, 181, 343, 505, 48, 210, 372, 534, 49, 211, 373, 535)(20, 182, 344, 506, 51, 213, 375, 537, 52, 214, 376, 538)(21, 183, 345, 507, 54, 216, 378, 540, 55, 217, 379, 541)(22, 184, 346, 508, 57, 219, 381, 543, 58, 220, 382, 544)(25, 187, 349, 511, 64, 226, 388, 550, 65, 227, 389, 551)(26, 188, 350, 512, 67, 229, 391, 553, 68, 230, 392, 554)(27, 189, 351, 513, 70, 232, 394, 556, 71, 233, 395, 557)(28, 190, 352, 514, 73, 235, 397, 559, 74, 236, 398, 560)(29, 191, 353, 515, 76, 238, 400, 562, 77, 239, 401, 563)(32, 194, 356, 518, 79, 241, 403, 565, 80, 242, 404, 566)(35, 197, 359, 521, 85, 247, 409, 571, 86, 248, 410, 572)(38, 200, 362, 524, 90, 252, 414, 576, 91, 253, 415, 577)(43, 205, 367, 529, 97, 259, 421, 583, 98, 260, 422, 584)(44, 206, 368, 530, 100, 262, 424, 586, 101, 263, 425, 587)(45, 207, 369, 531, 102, 264, 426, 588, 103, 265, 427, 589)(46, 208, 370, 532, 105, 267, 429, 591, 106, 268, 430, 592)(47, 209, 371, 533, 108, 270, 432, 594, 109, 271, 433, 595)(50, 212, 374, 536, 69, 231, 393, 555, 111, 273, 435, 597)(53, 215, 377, 539, 116, 278, 440, 602, 117, 279, 441, 603)(56, 218, 380, 542, 121, 283, 445, 607, 63, 225, 387, 549)(59, 221, 383, 545, 110, 272, 434, 596, 124, 286, 448, 610)(60, 222, 384, 546, 125, 287, 449, 611, 126, 288, 450, 612)(61, 223, 385, 547, 128, 290, 452, 614, 129, 291, 453, 615)(62, 224, 386, 548, 130, 292, 454, 616, 122, 284, 446, 608)(66, 228, 390, 552, 132, 294, 456, 618, 133, 295, 457, 619)(72, 234, 396, 558, 139, 301, 463, 625, 140, 302, 464, 626)(75, 237, 399, 561, 141, 303, 465, 627, 137, 299, 461, 623)(78, 240, 402, 564, 143, 305, 467, 629, 93, 255, 417, 579)(81, 243, 405, 567, 87, 249, 411, 573, 145, 307, 469, 631)(82, 244, 406, 568, 146, 308, 470, 632, 115, 277, 439, 601)(83, 245, 407, 569, 89, 251, 413, 575, 147, 309, 471, 633)(84, 246, 408, 570, 113, 275, 437, 599, 148, 310, 472, 634)(88, 250, 412, 574, 131, 293, 455, 617, 150, 312, 474, 636)(92, 254, 416, 578, 96, 258, 420, 582, 152, 314, 476, 638)(94, 256, 418, 580, 153, 315, 477, 639, 154, 316, 478, 640)(95, 257, 419, 581, 155, 317, 479, 641, 156, 318, 480, 642)(99, 261, 423, 585, 127, 289, 451, 613, 157, 319, 481, 643)(104, 266, 428, 590, 161, 323, 485, 647, 123, 285, 447, 609)(107, 269, 431, 593, 162, 324, 486, 648, 159, 321, 483, 645)(112, 274, 436, 598, 118, 280, 442, 604, 149, 311, 473, 635)(114, 276, 438, 600, 120, 282, 444, 606, 142, 304, 466, 628)(119, 281, 443, 605, 151, 313, 475, 637, 134, 296, 458, 620)(135, 297, 459, 621, 138, 300, 462, 624, 144, 306, 468, 630)(136, 298, 460, 622, 158, 320, 482, 644, 160, 322, 484, 646)
	L = (1, 164)(2, 163)(3, 171)(4, 174)(5, 176)(6, 178)(7, 181)(8, 183)(9, 165)(10, 187)(11, 189)(12, 166)(13, 194)(14, 167)(15, 200)(16, 168)(17, 205)(18, 207)(19, 169)(20, 212)(21, 170)(22, 218)(23, 221)(24, 223)(25, 172)(26, 228)(27, 173)(28, 234)(29, 237)(30, 229)(31, 235)(32, 175)(33, 226)(34, 244)(35, 246)(36, 249)(37, 251)(38, 177)(39, 227)(40, 254)(41, 255)(42, 257)(43, 179)(44, 261)(45, 180)(46, 266)(47, 269)(48, 262)(49, 267)(50, 182)(51, 259)(52, 275)(53, 277)(54, 280)(55, 282)(56, 184)(57, 260)(58, 284)(59, 185)(60, 248)(61, 186)(62, 238)(63, 293)(64, 195)(65, 201)(66, 188)(67, 192)(68, 276)(69, 298)(70, 281)(71, 300)(72, 190)(73, 193)(74, 268)(75, 191)(76, 224)(77, 273)(78, 287)(79, 306)(80, 271)(81, 274)(82, 196)(83, 263)(84, 197)(85, 283)(86, 222)(87, 198)(88, 264)(89, 199)(90, 278)(91, 313)(92, 202)(93, 203)(94, 279)(95, 204)(96, 270)(97, 213)(98, 219)(99, 206)(100, 210)(101, 245)(102, 250)(103, 322)(104, 208)(105, 211)(106, 236)(107, 209)(108, 258)(109, 242)(110, 315)(111, 239)(112, 243)(113, 214)(114, 230)(115, 215)(116, 252)(117, 256)(118, 216)(119, 232)(120, 217)(121, 247)(122, 220)(123, 311)(124, 314)(125, 240)(126, 320)(127, 304)(128, 321)(129, 308)(130, 305)(131, 225)(132, 309)(133, 323)(134, 324)(135, 316)(136, 231)(137, 317)(138, 233)(139, 319)(140, 307)(141, 312)(142, 289)(143, 292)(144, 241)(145, 302)(146, 291)(147, 294)(148, 318)(149, 285)(150, 303)(151, 253)(152, 286)(153, 272)(154, 297)(155, 299)(156, 310)(157, 301)(158, 288)(159, 290)(160, 265)(161, 295)(162, 296)(325, 489)(326, 492)(327, 487)(328, 499)(329, 501)(330, 488)(331, 506)(332, 508)(333, 502)(334, 512)(335, 514)(336, 515)(337, 490)(338, 521)(339, 491)(340, 495)(341, 530)(342, 532)(343, 533)(344, 493)(345, 539)(346, 494)(347, 546)(348, 548)(349, 549)(350, 496)(351, 555)(352, 497)(353, 498)(354, 564)(355, 543)(356, 561)(357, 567)(358, 569)(359, 500)(360, 574)(361, 544)(362, 570)(363, 535)(364, 541)(365, 580)(366, 582)(367, 577)(368, 503)(369, 565)(370, 504)(371, 505)(372, 596)(373, 525)(374, 593)(375, 598)(376, 600)(377, 507)(378, 605)(379, 526)(380, 601)(381, 517)(382, 523)(383, 609)(384, 509)(385, 613)(386, 510)(387, 511)(388, 583)(389, 616)(390, 617)(391, 620)(392, 621)(393, 513)(394, 623)(395, 608)(396, 622)(397, 610)(398, 615)(399, 518)(400, 628)(401, 619)(402, 516)(403, 531)(404, 607)(405, 519)(406, 612)(407, 520)(408, 524)(409, 625)(410, 635)(411, 614)(412, 522)(413, 624)(414, 597)(415, 529)(416, 589)(417, 626)(418, 527)(419, 618)(420, 528)(421, 550)(422, 638)(423, 637)(424, 636)(425, 644)(426, 645)(427, 578)(428, 630)(429, 629)(430, 642)(431, 536)(432, 633)(433, 643)(434, 534)(435, 576)(436, 537)(437, 640)(438, 538)(439, 542)(440, 647)(441, 631)(442, 641)(443, 540)(444, 646)(445, 566)(446, 557)(447, 545)(448, 559)(449, 648)(450, 568)(451, 547)(452, 573)(453, 560)(454, 551)(455, 552)(456, 581)(457, 563)(458, 553)(459, 554)(460, 558)(461, 556)(462, 575)(463, 571)(464, 579)(465, 639)(466, 562)(467, 591)(468, 590)(469, 603)(470, 634)(471, 594)(472, 632)(473, 572)(474, 586)(475, 585)(476, 584)(477, 627)(478, 599)(479, 604)(480, 592)(481, 595)(482, 587)(483, 588)(484, 606)(485, 602)(486, 611)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2726
Transitivity :: VT+
Graph:: bipartite
	v = 54 e = 324 f = 216
	degree seq :: [ 12^54 ]

E28.2729 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
Aut^+ = (C3 x ((C3 x C3) : C3)) : C2 (small group id <162, 40>)
Aut   = S3 x (((C3 x C3) : C3) : C2) (small group id <324, 116>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, (Y1^-1, Y2), (R * Y3)^2, R * Y2 * R * Y1, (Y3 * Y2^-1 * Y1^-1)^2, Y2^-1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1^-1, (Y3 * Y1 * Y3 * Y1^-1)^3, (Y3 * Y2 * Y3 * Y2^-1)^3, (Y3 * Y1 * Y3 * Y2^-1)^3, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 163, 325, 487, 4, 166, 328, 490)(2, 164, 326, 488, 8, 170, 332, 494)(3, 165, 327, 489, 10, 172, 334, 496)(5, 167, 329, 491, 16, 178, 340, 502)(6, 168, 330, 492, 18, 180, 342, 504)(7, 169, 331, 493, 19, 181, 343, 505)(9, 171, 333, 495, 24, 186, 348, 510)(11, 173, 335, 497, 29, 191, 353, 515)(12, 174, 336, 498, 31, 193, 355, 517)(13, 175, 337, 499, 33, 195, 357, 519)(14, 176, 338, 500, 35, 197, 359, 521)(15, 177, 339, 501, 36, 198, 360, 522)(17, 179, 341, 503, 30, 192, 354, 516)(20, 182, 344, 506, 41, 203, 365, 527)(21, 183, 345, 507, 42, 204, 366, 528)(22, 184, 346, 508, 43, 205, 367, 529)(23, 185, 347, 509, 44, 206, 368, 530)(25, 187, 349, 511, 45, 207, 369, 531)(26, 188, 350, 512, 46, 208, 370, 532)(27, 189, 351, 513, 47, 209, 371, 533)(28, 190, 352, 514, 48, 210, 372, 534)(32, 194, 356, 518, 53, 215, 377, 539)(34, 196, 358, 520, 58, 220, 382, 544)(37, 199, 361, 523, 63, 225, 387, 549)(38, 200, 362, 524, 64, 226, 388, 550)(39, 201, 363, 525, 65, 227, 389, 551)(40, 202, 364, 526, 66, 228, 390, 552)(49, 211, 373, 535, 91, 253, 415, 577)(50, 212, 374, 536, 92, 254, 416, 578)(51, 213, 375, 537, 93, 255, 417, 579)(52, 214, 376, 538, 94, 256, 418, 580)(54, 216, 378, 540, 95, 257, 419, 581)(55, 217, 379, 541, 96, 258, 420, 582)(56, 218, 380, 542, 97, 259, 421, 583)(57, 219, 381, 543, 98, 260, 422, 584)(59, 221, 383, 545, 99, 261, 423, 585)(60, 222, 384, 546, 100, 262, 424, 586)(61, 223, 385, 547, 101, 263, 425, 587)(62, 224, 386, 548, 102, 264, 426, 588)(67, 229, 391, 553, 103, 265, 427, 589)(68, 230, 392, 554, 104, 266, 428, 590)(69, 231, 393, 555, 105, 267, 429, 591)(70, 232, 394, 556, 106, 268, 430, 592)(71, 233, 395, 557, 107, 269, 431, 593)(72, 234, 396, 558, 108, 270, 432, 594)(73, 235, 397, 559, 109, 271, 433, 595)(74, 236, 398, 560, 110, 272, 434, 596)(75, 237, 399, 561, 111, 273, 435, 597)(76, 238, 400, 562, 112, 274, 436, 598)(77, 239, 401, 563, 113, 275, 437, 599)(78, 240, 402, 564, 114, 276, 438, 600)(79, 241, 403, 565, 115, 277, 439, 601)(80, 242, 404, 566, 116, 278, 440, 602)(81, 243, 405, 567, 117, 279, 441, 603)(82, 244, 406, 568, 118, 280, 442, 604)(83, 245, 407, 569, 119, 281, 443, 605)(84, 246, 408, 570, 120, 282, 444, 606)(85, 247, 409, 571, 121, 283, 445, 607)(86, 248, 410, 572, 122, 284, 446, 608)(87, 249, 411, 573, 123, 285, 447, 609)(88, 250, 412, 574, 124, 286, 448, 610)(89, 251, 413, 575, 125, 287, 449, 611)(90, 252, 414, 576, 126, 288, 450, 612)(127, 289, 451, 613, 145, 307, 469, 631)(128, 290, 452, 614, 146, 308, 470, 632)(129, 291, 453, 615, 147, 309, 471, 633)(130, 292, 454, 616, 148, 310, 472, 634)(131, 293, 455, 617, 149, 311, 473, 635)(132, 294, 456, 618, 150, 312, 474, 636)(133, 295, 457, 619, 151, 313, 475, 637)(134, 296, 458, 620, 152, 314, 476, 638)(135, 297, 459, 621, 153, 315, 477, 639)(136, 298, 460, 622, 154, 316, 478, 640)(137, 299, 461, 623, 155, 317, 479, 641)(138, 300, 462, 624, 156, 318, 480, 642)(139, 301, 463, 625, 157, 319, 481, 643)(140, 302, 464, 626, 158, 320, 482, 644)(141, 303, 465, 627, 159, 321, 483, 645)(142, 304, 466, 628, 160, 322, 484, 646)(143, 305, 467, 629, 161, 323, 485, 647)(144, 306, 468, 630, 162, 324, 486, 648)
	L = (1, 164)(2, 167)(3, 169)(4, 174)(5, 163)(6, 171)(7, 173)(8, 182)(9, 179)(10, 187)(11, 165)(12, 176)(13, 192)(14, 166)(15, 194)(16, 199)(17, 168)(18, 201)(19, 177)(20, 184)(21, 180)(22, 170)(23, 202)(24, 190)(25, 189)(26, 178)(27, 172)(28, 200)(29, 185)(30, 196)(31, 211)(32, 181)(33, 216)(34, 175)(35, 221)(36, 223)(37, 188)(38, 186)(39, 183)(40, 191)(41, 229)(42, 233)(43, 237)(44, 239)(45, 241)(46, 245)(47, 249)(48, 251)(49, 213)(50, 198)(51, 193)(52, 224)(53, 219)(54, 218)(55, 197)(56, 195)(57, 222)(58, 214)(59, 217)(60, 215)(61, 212)(62, 220)(63, 244)(64, 248)(65, 232)(66, 236)(67, 231)(68, 206)(69, 203)(70, 240)(71, 235)(72, 205)(73, 204)(74, 238)(75, 234)(76, 228)(77, 230)(78, 227)(79, 243)(80, 210)(81, 207)(82, 252)(83, 247)(84, 209)(85, 208)(86, 250)(87, 246)(88, 226)(89, 242)(90, 225)(91, 283)(92, 272)(93, 273)(94, 286)(95, 295)(96, 297)(97, 299)(98, 300)(99, 296)(100, 298)(101, 282)(102, 269)(103, 258)(104, 285)(105, 281)(106, 259)(107, 293)(108, 304)(109, 306)(110, 292)(111, 291)(112, 305)(113, 262)(114, 284)(115, 274)(116, 257)(117, 260)(118, 270)(119, 301)(120, 294)(121, 290)(122, 303)(123, 302)(124, 289)(125, 271)(126, 261)(127, 256)(128, 253)(129, 255)(130, 254)(131, 264)(132, 263)(133, 278)(134, 288)(135, 265)(136, 275)(137, 268)(138, 279)(139, 267)(140, 266)(141, 276)(142, 280)(143, 277)(144, 287)(145, 317)(146, 315)(147, 319)(148, 320)(149, 321)(150, 316)(151, 311)(152, 309)(153, 322)(154, 323)(155, 324)(156, 310)(157, 314)(158, 318)(159, 313)(160, 308)(161, 312)(162, 307)(325, 489)(326, 493)(327, 492)(328, 499)(329, 497)(330, 487)(331, 495)(332, 507)(333, 488)(334, 512)(335, 503)(336, 516)(337, 501)(338, 520)(339, 490)(340, 524)(341, 491)(342, 526)(343, 500)(344, 504)(345, 509)(346, 525)(347, 494)(348, 513)(349, 502)(350, 514)(351, 523)(352, 496)(353, 508)(354, 518)(355, 536)(356, 498)(357, 541)(358, 505)(359, 546)(360, 548)(361, 510)(362, 511)(363, 515)(364, 506)(365, 554)(366, 558)(367, 562)(368, 564)(369, 566)(370, 570)(371, 574)(372, 576)(373, 522)(374, 538)(375, 547)(376, 517)(377, 542)(378, 521)(379, 543)(380, 545)(381, 519)(382, 537)(383, 539)(384, 540)(385, 544)(386, 535)(387, 567)(388, 571)(389, 555)(390, 559)(391, 530)(392, 556)(393, 563)(394, 527)(395, 529)(396, 560)(397, 561)(398, 528)(399, 552)(400, 557)(401, 551)(402, 553)(403, 534)(404, 568)(405, 575)(406, 531)(407, 533)(408, 572)(409, 573)(410, 532)(411, 550)(412, 569)(413, 549)(414, 565)(415, 613)(416, 615)(417, 617)(418, 618)(419, 603)(420, 592)(421, 599)(422, 612)(423, 602)(424, 589)(425, 614)(426, 616)(427, 623)(428, 625)(429, 627)(430, 622)(431, 578)(432, 611)(433, 601)(434, 579)(435, 588)(436, 604)(437, 621)(438, 626)(439, 628)(440, 624)(441, 620)(442, 630)(443, 600)(444, 577)(445, 580)(446, 590)(447, 591)(448, 587)(449, 629)(450, 619)(451, 606)(452, 610)(453, 593)(454, 597)(455, 596)(456, 607)(457, 584)(458, 581)(459, 583)(460, 582)(461, 586)(462, 585)(463, 608)(464, 605)(465, 609)(466, 595)(467, 594)(468, 598)(469, 646)(470, 647)(471, 642)(472, 637)(473, 638)(474, 648)(475, 643)(476, 644)(477, 636)(478, 631)(479, 632)(480, 645)(481, 634)(482, 635)(483, 633)(484, 640)(485, 641)(486, 639)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.2727
Transitivity :: VT+
Graph:: simple
	v = 81 e = 324 f = 189
	degree seq :: [ 8^81 ]

E28.2730 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = (C3 x ((C3 x C3) : C3)) : C2 (small group id <162, 40>)
Aut   = (C3 x (((C3 x C3) : C3) : C2)) : C2 (small group id <324, 121>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, (Y3, Y2^-1), (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y1 * Y2 * Y1 * Y2^-1)^3, (Y1 * Y2^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 163, 2, 164)(3, 165, 11, 173)(4, 166, 10, 172)(5, 167, 15, 177)(6, 168, 8, 170)(7, 169, 17, 179)(9, 171, 21, 183)(12, 174, 26, 188)(13, 175, 24, 186)(14, 176, 27, 189)(16, 178, 29, 191)(18, 180, 34, 196)(19, 181, 32, 194)(20, 182, 35, 197)(22, 184, 37, 199)(23, 185, 39, 201)(25, 187, 43, 205)(28, 190, 47, 209)(30, 192, 50, 212)(31, 193, 51, 213)(33, 195, 55, 217)(36, 198, 59, 221)(38, 200, 62, 224)(40, 202, 66, 228)(41, 203, 64, 226)(42, 204, 67, 229)(44, 206, 69, 231)(45, 207, 71, 233)(46, 208, 72, 234)(48, 210, 75, 237)(49, 211, 76, 238)(52, 214, 82, 244)(53, 215, 80, 242)(54, 216, 83, 245)(56, 218, 85, 247)(57, 219, 87, 249)(58, 220, 88, 250)(60, 222, 91, 253)(61, 223, 92, 254)(63, 225, 94, 256)(65, 227, 98, 260)(68, 230, 84, 246)(70, 232, 104, 266)(73, 235, 109, 271)(74, 236, 90, 252)(77, 239, 114, 276)(78, 240, 79, 241)(81, 243, 118, 280)(86, 248, 124, 286)(89, 251, 129, 291)(93, 255, 134, 296)(95, 257, 133, 295)(96, 258, 128, 290)(97, 259, 135, 297)(99, 261, 136, 298)(100, 262, 122, 284)(101, 263, 138, 300)(102, 264, 120, 282)(103, 265, 139, 301)(105, 267, 141, 303)(106, 268, 131, 293)(107, 269, 142, 304)(108, 270, 116, 278)(110, 272, 143, 305)(111, 273, 126, 288)(112, 274, 144, 306)(113, 275, 115, 277)(117, 279, 145, 307)(119, 281, 146, 308)(121, 283, 148, 310)(123, 285, 149, 311)(125, 287, 151, 313)(127, 289, 152, 314)(130, 292, 153, 315)(132, 294, 154, 316)(137, 299, 150, 312)(140, 302, 147, 309)(155, 317, 161, 323)(156, 318, 162, 324)(157, 319, 159, 321)(158, 320, 160, 322)(325, 487, 327, 489, 329, 491)(326, 488, 331, 493, 333, 495)(328, 490, 336, 498, 338, 500)(330, 492, 337, 499, 340, 502)(332, 494, 342, 504, 344, 506)(334, 496, 343, 505, 346, 508)(335, 497, 347, 509, 349, 511)(339, 501, 352, 514, 354, 516)(341, 503, 355, 517, 357, 519)(345, 507, 360, 522, 362, 524)(348, 510, 364, 526, 366, 528)(350, 512, 365, 527, 368, 530)(351, 513, 369, 531, 370, 532)(353, 515, 372, 534, 373, 535)(356, 518, 376, 538, 378, 540)(358, 520, 377, 539, 380, 542)(359, 521, 381, 543, 382, 544)(361, 523, 384, 546, 385, 547)(363, 525, 387, 549, 389, 551)(367, 529, 392, 554, 394, 556)(371, 533, 397, 559, 398, 560)(374, 536, 401, 563, 402, 564)(375, 537, 403, 565, 405, 567)(379, 541, 408, 570, 410, 572)(383, 545, 413, 575, 414, 576)(386, 548, 417, 579, 418, 580)(388, 550, 419, 581, 421, 583)(390, 552, 420, 582, 423, 585)(391, 553, 424, 586, 425, 587)(393, 555, 426, 588, 427, 589)(395, 557, 429, 591, 430, 592)(396, 558, 431, 593, 432, 594)(399, 561, 434, 596, 435, 597)(400, 562, 436, 598, 437, 599)(404, 566, 439, 601, 441, 603)(406, 568, 440, 602, 443, 605)(407, 569, 444, 606, 445, 607)(409, 571, 446, 608, 447, 609)(411, 573, 449, 611, 450, 612)(412, 574, 451, 613, 452, 614)(415, 577, 454, 616, 455, 617)(416, 578, 456, 618, 457, 619)(422, 584, 438, 600, 461, 623)(428, 590, 464, 626, 433, 595)(442, 604, 458, 620, 471, 633)(448, 610, 474, 636, 453, 615)(459, 621, 466, 628, 479, 641)(460, 622, 468, 630, 480, 642)(462, 624, 481, 643, 467, 629)(463, 625, 482, 644, 465, 627)(469, 631, 476, 638, 483, 645)(470, 632, 478, 640, 484, 646)(472, 634, 485, 647, 477, 639)(473, 635, 486, 648, 475, 637)
	L = (1, 328)(2, 332)(3, 336)(4, 330)(5, 338)(6, 325)(7, 342)(8, 334)(9, 344)(10, 326)(11, 348)(12, 337)(13, 327)(14, 340)(15, 353)(16, 329)(17, 356)(18, 343)(19, 331)(20, 346)(21, 361)(22, 333)(23, 364)(24, 350)(25, 366)(26, 335)(27, 339)(28, 372)(29, 351)(30, 373)(31, 376)(32, 358)(33, 378)(34, 341)(35, 345)(36, 384)(37, 359)(38, 385)(39, 388)(40, 365)(41, 347)(42, 368)(43, 393)(44, 349)(45, 352)(46, 354)(47, 395)(48, 369)(49, 370)(50, 396)(51, 404)(52, 377)(53, 355)(54, 380)(55, 409)(56, 357)(57, 360)(58, 362)(59, 411)(60, 381)(61, 382)(62, 412)(63, 419)(64, 390)(65, 421)(66, 363)(67, 367)(68, 426)(69, 391)(70, 427)(71, 399)(72, 400)(73, 429)(74, 430)(75, 371)(76, 374)(77, 431)(78, 432)(79, 439)(80, 406)(81, 441)(82, 375)(83, 379)(84, 446)(85, 407)(86, 447)(87, 415)(88, 416)(89, 449)(90, 450)(91, 383)(92, 386)(93, 451)(94, 452)(95, 420)(96, 387)(97, 423)(98, 460)(99, 389)(100, 392)(101, 394)(102, 424)(103, 425)(104, 462)(105, 434)(106, 435)(107, 436)(108, 437)(109, 467)(110, 397)(111, 398)(112, 401)(113, 402)(114, 468)(115, 440)(116, 403)(117, 443)(118, 470)(119, 405)(120, 408)(121, 410)(122, 444)(123, 445)(124, 472)(125, 454)(126, 455)(127, 456)(128, 457)(129, 477)(130, 413)(131, 414)(132, 417)(133, 418)(134, 478)(135, 422)(136, 459)(137, 480)(138, 463)(139, 428)(140, 481)(141, 433)(142, 438)(143, 465)(144, 466)(145, 442)(146, 469)(147, 484)(148, 473)(149, 448)(150, 485)(151, 453)(152, 458)(153, 475)(154, 476)(155, 461)(156, 479)(157, 482)(158, 464)(159, 471)(160, 483)(161, 486)(162, 474)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 135 e = 324 f = 135
	degree seq :: [ 4^81, 6^54 ]

E28.2731 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = (C3 x ((C3 x C3) : C3)) : C2 (small group id <162, 40>)
Aut   = (C3 x (((C3 x C3) : C3) : C2)) : C2 (small group id <324, 121>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, (R * Y3^-1)^2, (R * Y1)^2, (Y3 * Y1)^2, (Y3 * Y2^-1)^3, Y2 * R * Y3 * Y2 * Y3^-1 * R, (Y3 * Y2)^3, (Y3^-1 * Y2 * Y1 * Y2^-1)^2, (Y2^-1 * Y1 * Y2^-1 * R)^2, (Y1 * Y2 * Y3^-1 * Y2^-1)^2, Y2^-1 * Y3 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y3 * Y1, Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y1, Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y1, (Y2 * R * Y1 * Y2^-1 * Y1)^2 ]
Map:: polyhedral non-degenerate
	R = (1, 163, 2, 164)(3, 165, 11, 173)(4, 166, 10, 172)(5, 167, 16, 178)(6, 168, 8, 170)(7, 169, 21, 183)(9, 171, 26, 188)(12, 174, 34, 196)(13, 175, 32, 194)(14, 176, 39, 201)(15, 177, 42, 204)(17, 179, 47, 209)(18, 180, 45, 207)(19, 181, 51, 213)(20, 182, 53, 215)(22, 184, 58, 220)(23, 185, 56, 218)(24, 186, 63, 225)(25, 187, 66, 228)(27, 189, 71, 233)(28, 190, 69, 231)(29, 191, 75, 237)(30, 192, 77, 239)(31, 193, 79, 241)(33, 195, 84, 246)(35, 197, 89, 251)(36, 198, 62, 224)(37, 199, 91, 253)(38, 200, 60, 222)(40, 202, 95, 257)(41, 203, 94, 256)(43, 205, 97, 259)(44, 206, 99, 261)(46, 208, 103, 265)(48, 210, 74, 236)(49, 211, 108, 270)(50, 212, 72, 234)(52, 214, 110, 272)(54, 216, 112, 274)(55, 217, 113, 275)(57, 219, 118, 280)(59, 221, 123, 285)(61, 223, 125, 287)(64, 226, 129, 291)(65, 227, 128, 290)(67, 229, 131, 293)(68, 230, 133, 295)(70, 232, 137, 299)(73, 235, 142, 304)(76, 238, 144, 306)(78, 240, 146, 308)(80, 242, 121, 283)(81, 243, 143, 305)(82, 244, 127, 289)(83, 245, 140, 302)(85, 247, 153, 315)(86, 248, 135, 297)(87, 249, 114, 276)(88, 250, 134, 296)(90, 252, 126, 288)(92, 254, 124, 286)(93, 255, 116, 278)(96, 258, 156, 318)(98, 260, 138, 300)(100, 262, 122, 284)(101, 263, 120, 282)(102, 264, 139, 301)(104, 266, 132, 294)(105, 267, 136, 298)(106, 268, 117, 279)(107, 269, 145, 307)(109, 271, 115, 277)(111, 273, 141, 303)(119, 281, 154, 316)(130, 292, 148, 310)(147, 309, 160, 322)(149, 311, 162, 324)(150, 312, 158, 320)(151, 313, 159, 321)(152, 314, 157, 319)(155, 317, 161, 323)(325, 487, 327, 489, 329, 491)(326, 488, 331, 493, 333, 495)(328, 490, 338, 500, 339, 501)(330, 492, 343, 505, 344, 506)(332, 494, 348, 510, 349, 511)(334, 496, 353, 515, 354, 516)(335, 497, 355, 517, 357, 519)(336, 498, 359, 521, 360, 522)(337, 499, 361, 523, 362, 524)(340, 502, 368, 530, 370, 532)(341, 503, 372, 534, 373, 535)(342, 504, 374, 536, 364, 526)(345, 507, 379, 541, 381, 543)(346, 508, 383, 545, 384, 546)(347, 509, 385, 547, 386, 548)(350, 512, 392, 554, 394, 556)(351, 513, 396, 558, 397, 559)(352, 514, 398, 560, 388, 550)(356, 518, 406, 568, 407, 569)(358, 520, 411, 573, 412, 574)(363, 525, 417, 579, 410, 572)(365, 527, 378, 540, 416, 578)(366, 528, 420, 582, 422, 584)(367, 529, 414, 576, 376, 538)(369, 531, 425, 587, 426, 588)(371, 533, 430, 592, 431, 593)(375, 537, 433, 595, 409, 571)(377, 539, 424, 586, 435, 597)(380, 542, 440, 602, 441, 603)(382, 544, 445, 607, 446, 608)(387, 549, 451, 613, 444, 606)(389, 551, 402, 564, 450, 612)(390, 552, 454, 616, 456, 618)(391, 553, 448, 610, 400, 562)(393, 555, 459, 621, 460, 622)(395, 557, 464, 626, 465, 627)(399, 561, 467, 629, 443, 605)(401, 563, 458, 620, 469, 631)(403, 565, 471, 633, 452, 614)(404, 566, 472, 634, 419, 581)(405, 567, 473, 635, 432, 594)(408, 570, 476, 638, 455, 617)(413, 575, 478, 640, 429, 591)(415, 577, 479, 641, 428, 590)(418, 580, 437, 599, 475, 637)(421, 583, 442, 604, 481, 643)(423, 585, 468, 630, 482, 644)(427, 589, 470, 632, 483, 645)(434, 596, 474, 636, 457, 619)(436, 598, 484, 646, 461, 623)(438, 600, 480, 642, 453, 615)(439, 601, 485, 647, 466, 628)(447, 609, 477, 639, 463, 625)(449, 611, 486, 648, 462, 624)
	L = (1, 328)(2, 332)(3, 336)(4, 330)(5, 341)(6, 325)(7, 346)(8, 334)(9, 351)(10, 326)(11, 356)(12, 337)(13, 327)(14, 364)(15, 361)(16, 369)(17, 342)(18, 329)(19, 376)(20, 378)(21, 380)(22, 347)(23, 331)(24, 388)(25, 385)(26, 393)(27, 352)(28, 333)(29, 400)(30, 402)(31, 404)(32, 358)(33, 409)(34, 335)(35, 344)(36, 374)(37, 367)(38, 416)(39, 418)(40, 365)(41, 338)(42, 421)(43, 339)(44, 424)(45, 371)(46, 428)(47, 340)(48, 362)(49, 343)(50, 414)(51, 432)(52, 373)(53, 413)(54, 359)(55, 438)(56, 382)(57, 443)(58, 345)(59, 354)(60, 398)(61, 391)(62, 450)(63, 452)(64, 389)(65, 348)(66, 455)(67, 349)(68, 458)(69, 395)(70, 462)(71, 350)(72, 386)(73, 353)(74, 448)(75, 466)(76, 397)(77, 447)(78, 383)(79, 467)(80, 405)(81, 355)(82, 417)(83, 473)(84, 459)(85, 410)(86, 357)(87, 437)(88, 457)(89, 436)(90, 360)(91, 366)(92, 372)(93, 474)(94, 419)(95, 363)(96, 368)(97, 415)(98, 461)(99, 480)(100, 420)(101, 478)(102, 422)(103, 460)(104, 429)(105, 370)(106, 484)(107, 481)(108, 434)(109, 411)(110, 375)(111, 431)(112, 377)(113, 433)(114, 439)(115, 379)(116, 451)(117, 485)(118, 425)(119, 444)(120, 381)(121, 403)(122, 423)(123, 470)(124, 384)(125, 390)(126, 396)(127, 482)(128, 453)(129, 387)(130, 392)(131, 449)(132, 427)(133, 472)(134, 454)(135, 477)(136, 456)(137, 426)(138, 463)(139, 394)(140, 483)(141, 476)(142, 468)(143, 445)(144, 399)(145, 465)(146, 401)(147, 441)(148, 412)(149, 475)(150, 406)(151, 407)(152, 469)(153, 408)(154, 442)(155, 430)(156, 446)(157, 435)(158, 440)(159, 486)(160, 479)(161, 471)(162, 464)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2733
Graph:: simple bipartite
	v = 135 e = 324 f = 135
	degree seq :: [ 4^81, 6^54 ]

E28.2732 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = (C3 x ((C3 x C3) : C3)) : C2 (small group id <162, 40>)
Aut   = (C3 x (((C3 x C3) : C3) : C2)) : C2 (small group id <324, 121>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^3, (Y3 * Y2^-1)^3, (Y2 * Y3^-1)^3, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^3, Y3^-1 * Y2^-1 * Y3 * Y2 * R * Y2 * R * Y2, (Y2^-1, Y3, Y2^-1), (Y3^-1 * Y2 * Y1 * Y2^-1)^2, (Y2^-1 * Y1 * Y2^-1 * R)^2, (Y1 * Y2 * Y3^-1 * Y2^-1)^2, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y3 * Y1, Y2^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y3 * Y2^-1 * Y1, Y2^-1 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y2^-1 * Y1, (Y2 * Y1 * Y2^-1 * R * Y1)^2 ]
Map:: polyhedral non-degenerate
	R = (1, 163, 2, 164)(3, 165, 11, 173)(4, 166, 10, 172)(5, 167, 16, 178)(6, 168, 8, 170)(7, 169, 21, 183)(9, 171, 26, 188)(12, 174, 34, 196)(13, 175, 32, 194)(14, 176, 39, 201)(15, 177, 42, 204)(17, 179, 47, 209)(18, 180, 45, 207)(19, 181, 51, 213)(20, 182, 53, 215)(22, 184, 58, 220)(23, 185, 56, 218)(24, 186, 63, 225)(25, 187, 66, 228)(27, 189, 71, 233)(28, 190, 69, 231)(29, 191, 75, 237)(30, 192, 77, 239)(31, 193, 79, 241)(33, 195, 84, 246)(35, 197, 89, 251)(36, 198, 62, 224)(37, 199, 91, 253)(38, 200, 60, 222)(40, 202, 95, 257)(41, 203, 94, 256)(43, 205, 97, 259)(44, 206, 99, 261)(46, 208, 103, 265)(48, 210, 74, 236)(49, 211, 108, 270)(50, 212, 72, 234)(52, 214, 110, 272)(54, 216, 112, 274)(55, 217, 113, 275)(57, 219, 118, 280)(59, 221, 123, 285)(61, 223, 125, 287)(64, 226, 129, 291)(65, 227, 128, 290)(67, 229, 131, 293)(68, 230, 133, 295)(70, 232, 137, 299)(73, 235, 142, 304)(76, 238, 144, 306)(78, 240, 146, 308)(80, 242, 127, 289)(81, 243, 116, 278)(82, 244, 115, 277)(83, 245, 130, 292)(85, 247, 140, 302)(86, 248, 151, 313)(87, 249, 143, 305)(88, 250, 135, 297)(90, 252, 126, 288)(92, 254, 124, 286)(93, 255, 114, 276)(96, 258, 117, 279)(98, 260, 136, 298)(100, 262, 159, 321)(101, 263, 122, 284)(102, 264, 132, 294)(104, 266, 141, 303)(105, 267, 145, 307)(106, 268, 119, 281)(107, 269, 138, 300)(109, 271, 121, 283)(111, 273, 139, 301)(120, 282, 155, 317)(134, 296, 149, 311)(147, 309, 156, 318)(148, 310, 162, 324)(150, 312, 157, 319)(152, 314, 158, 320)(153, 315, 160, 322)(154, 316, 161, 323)(325, 487, 327, 489, 329, 491)(326, 488, 331, 493, 333, 495)(328, 490, 338, 500, 339, 501)(330, 492, 343, 505, 344, 506)(332, 494, 348, 510, 349, 511)(334, 496, 353, 515, 354, 516)(335, 497, 355, 517, 357, 519)(336, 498, 359, 521, 360, 522)(337, 499, 361, 523, 362, 524)(340, 502, 368, 530, 370, 532)(341, 503, 372, 534, 373, 535)(342, 504, 374, 536, 364, 526)(345, 507, 379, 541, 381, 543)(346, 508, 383, 545, 384, 546)(347, 509, 385, 547, 386, 548)(350, 512, 392, 554, 394, 556)(351, 513, 396, 558, 397, 559)(352, 514, 398, 560, 388, 550)(356, 518, 406, 568, 407, 569)(358, 520, 411, 573, 412, 574)(363, 525, 417, 579, 410, 572)(365, 527, 378, 540, 416, 578)(366, 528, 420, 582, 422, 584)(367, 529, 414, 576, 376, 538)(369, 531, 425, 587, 426, 588)(371, 533, 430, 592, 431, 593)(375, 537, 433, 595, 409, 571)(377, 539, 424, 586, 435, 597)(380, 542, 440, 602, 441, 603)(382, 544, 445, 607, 446, 608)(387, 549, 451, 613, 444, 606)(389, 551, 402, 564, 450, 612)(390, 552, 454, 616, 456, 618)(391, 553, 448, 610, 400, 562)(393, 555, 459, 621, 460, 622)(395, 557, 464, 626, 465, 627)(399, 561, 467, 629, 443, 605)(401, 563, 458, 620, 469, 631)(403, 565, 471, 633, 468, 630)(404, 566, 472, 634, 419, 581)(405, 567, 473, 635, 432, 594)(408, 570, 474, 636, 470, 632)(413, 575, 478, 640, 429, 591)(415, 577, 479, 641, 428, 590)(418, 580, 476, 638, 457, 619)(421, 583, 480, 642, 461, 623)(423, 585, 452, 614, 482, 644)(427, 589, 455, 617, 484, 646)(434, 596, 437, 599, 477, 639)(436, 598, 442, 604, 481, 643)(438, 600, 485, 647, 453, 615)(439, 601, 483, 645, 466, 628)(447, 609, 486, 648, 463, 625)(449, 611, 475, 637, 462, 624)
	L = (1, 328)(2, 332)(3, 336)(4, 330)(5, 341)(6, 325)(7, 346)(8, 334)(9, 351)(10, 326)(11, 356)(12, 337)(13, 327)(14, 364)(15, 361)(16, 369)(17, 342)(18, 329)(19, 376)(20, 378)(21, 380)(22, 347)(23, 331)(24, 388)(25, 385)(26, 393)(27, 352)(28, 333)(29, 400)(30, 402)(31, 404)(32, 358)(33, 409)(34, 335)(35, 344)(36, 374)(37, 367)(38, 416)(39, 418)(40, 365)(41, 338)(42, 421)(43, 339)(44, 424)(45, 371)(46, 428)(47, 340)(48, 362)(49, 343)(50, 414)(51, 432)(52, 373)(53, 413)(54, 359)(55, 438)(56, 382)(57, 443)(58, 345)(59, 354)(60, 398)(61, 391)(62, 450)(63, 452)(64, 389)(65, 348)(66, 455)(67, 349)(68, 458)(69, 395)(70, 462)(71, 350)(72, 386)(73, 353)(74, 448)(75, 466)(76, 397)(77, 447)(78, 383)(79, 440)(80, 405)(81, 355)(82, 417)(83, 473)(84, 475)(85, 410)(86, 357)(87, 476)(88, 477)(89, 436)(90, 360)(91, 366)(92, 372)(93, 437)(94, 419)(95, 363)(96, 368)(97, 415)(98, 481)(99, 441)(100, 420)(101, 478)(102, 422)(103, 469)(104, 429)(105, 370)(106, 442)(107, 461)(108, 434)(109, 411)(110, 375)(111, 431)(112, 377)(113, 406)(114, 439)(115, 379)(116, 451)(117, 483)(118, 479)(119, 444)(120, 381)(121, 482)(122, 471)(123, 470)(124, 384)(125, 390)(126, 396)(127, 403)(128, 453)(129, 387)(130, 392)(131, 449)(132, 474)(133, 407)(134, 454)(135, 486)(136, 456)(137, 435)(138, 463)(139, 394)(140, 408)(141, 427)(142, 468)(143, 445)(144, 399)(145, 465)(146, 401)(147, 485)(148, 412)(149, 457)(150, 460)(151, 464)(152, 433)(153, 472)(154, 480)(155, 430)(156, 425)(157, 426)(158, 467)(159, 423)(160, 459)(161, 446)(162, 484)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 135 e = 324 f = 135
	degree seq :: [ 4^81, 6^54 ]

E28.2733 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = (C3 x ((C3 x C3) : C3)) : C2 (small group id <162, 40>)
Aut   = (C3 x (((C3 x C3) : C3) : C2)) : C2 (small group id <324, 121>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^3, (Y3^-1 * Y2^-1)^3, (Y2 * Y3^-1)^3, (R * Y2 * Y3^-1)^2, R * Y3^-1 * Y2^-1 * Y3^-1 * R * Y2^-1 * Y3, R * Y2 * R * Y3^-1 * Y2^-1 * Y3 * Y2^-1, (Y2^-1 * Y1 * Y2^-1 * R)^2, (Y1 * Y2 * Y3^-1 * Y2^-1)^2, (Y3 * Y2 * Y1 * Y2^-1)^2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map:: polyhedral non-degenerate
	R = (1, 163, 2, 164)(3, 165, 11, 173)(4, 166, 10, 172)(5, 167, 16, 178)(6, 168, 8, 170)(7, 169, 21, 183)(9, 171, 26, 188)(12, 174, 34, 196)(13, 175, 32, 194)(14, 176, 39, 201)(15, 177, 42, 204)(17, 179, 47, 209)(18, 180, 45, 207)(19, 181, 51, 213)(20, 182, 53, 215)(22, 184, 58, 220)(23, 185, 56, 218)(24, 186, 63, 225)(25, 187, 66, 228)(27, 189, 71, 233)(28, 190, 69, 231)(29, 191, 75, 237)(30, 192, 77, 239)(31, 193, 55, 217)(33, 195, 68, 230)(35, 197, 87, 249)(36, 198, 62, 224)(37, 199, 89, 251)(38, 200, 60, 222)(40, 202, 93, 255)(41, 203, 92, 254)(43, 205, 95, 257)(44, 206, 57, 219)(46, 208, 70, 232)(48, 210, 74, 236)(49, 211, 104, 266)(50, 212, 72, 234)(52, 214, 106, 268)(54, 216, 108, 270)(59, 221, 117, 279)(61, 223, 119, 281)(64, 226, 123, 285)(65, 227, 122, 284)(67, 229, 125, 287)(73, 235, 134, 296)(76, 238, 136, 298)(78, 240, 138, 300)(79, 241, 110, 272)(80, 242, 109, 271)(81, 243, 115, 277)(82, 244, 142, 304)(83, 245, 124, 286)(84, 246, 127, 289)(85, 247, 111, 273)(86, 248, 145, 307)(88, 250, 120, 282)(90, 252, 118, 280)(91, 253, 135, 297)(94, 256, 113, 275)(96, 258, 137, 299)(97, 259, 114, 276)(98, 260, 152, 314)(99, 261, 133, 295)(100, 262, 131, 293)(101, 263, 130, 292)(102, 264, 153, 315)(103, 265, 129, 291)(105, 267, 121, 283)(107, 269, 126, 288)(112, 274, 147, 309)(116, 278, 148, 310)(128, 290, 140, 302)(132, 294, 139, 301)(141, 303, 157, 319)(143, 305, 159, 321)(144, 306, 155, 317)(146, 308, 162, 324)(149, 311, 156, 318)(150, 312, 161, 323)(151, 313, 160, 322)(154, 316, 158, 320)(325, 487, 327, 489, 329, 491)(326, 488, 331, 493, 333, 495)(328, 490, 338, 500, 339, 501)(330, 492, 343, 505, 344, 506)(332, 494, 348, 510, 349, 511)(334, 496, 353, 515, 354, 516)(335, 497, 355, 517, 357, 519)(336, 498, 359, 521, 360, 522)(337, 499, 361, 523, 362, 524)(340, 502, 368, 530, 370, 532)(341, 503, 372, 534, 373, 535)(342, 504, 374, 536, 364, 526)(345, 507, 379, 541, 381, 543)(346, 508, 383, 545, 384, 546)(347, 509, 385, 547, 386, 548)(350, 512, 392, 554, 394, 556)(351, 513, 396, 558, 397, 559)(352, 514, 398, 560, 388, 550)(356, 518, 405, 567, 406, 568)(358, 520, 409, 571, 410, 572)(363, 525, 415, 577, 408, 570)(365, 527, 378, 540, 414, 576)(366, 528, 418, 580, 420, 582)(367, 529, 412, 574, 376, 538)(369, 531, 422, 584, 423, 585)(371, 533, 426, 588, 427, 589)(375, 537, 429, 591, 407, 569)(377, 539, 421, 583, 431, 593)(380, 542, 435, 597, 436, 598)(382, 544, 439, 601, 440, 602)(387, 549, 445, 607, 438, 600)(389, 551, 402, 564, 444, 606)(390, 552, 448, 610, 450, 612)(391, 553, 442, 604, 400, 562)(393, 555, 452, 614, 453, 615)(395, 557, 456, 618, 457, 619)(399, 561, 459, 621, 437, 599)(401, 563, 451, 613, 461, 623)(403, 565, 463, 625, 417, 579)(404, 566, 464, 626, 428, 590)(411, 573, 471, 633, 425, 587)(413, 575, 472, 634, 424, 586)(416, 578, 468, 630, 467, 629)(419, 581, 473, 635, 474, 636)(430, 592, 465, 627, 470, 632)(432, 594, 478, 640, 475, 637)(433, 595, 477, 639, 447, 609)(434, 596, 476, 638, 458, 620)(441, 603, 466, 628, 455, 617)(443, 605, 469, 631, 454, 616)(446, 608, 481, 643, 480, 642)(449, 611, 483, 645, 484, 646)(460, 622, 479, 641, 482, 644)(462, 624, 486, 648, 485, 647)
	L = (1, 328)(2, 332)(3, 336)(4, 330)(5, 341)(6, 325)(7, 346)(8, 334)(9, 351)(10, 326)(11, 356)(12, 337)(13, 327)(14, 364)(15, 361)(16, 369)(17, 342)(18, 329)(19, 376)(20, 378)(21, 380)(22, 347)(23, 331)(24, 388)(25, 385)(26, 393)(27, 352)(28, 333)(29, 400)(30, 402)(31, 403)(32, 358)(33, 407)(34, 335)(35, 344)(36, 374)(37, 367)(38, 414)(39, 416)(40, 365)(41, 338)(42, 419)(43, 339)(44, 421)(45, 371)(46, 424)(47, 340)(48, 362)(49, 343)(50, 412)(51, 428)(52, 373)(53, 411)(54, 359)(55, 433)(56, 382)(57, 437)(58, 345)(59, 354)(60, 398)(61, 391)(62, 444)(63, 446)(64, 389)(65, 348)(66, 449)(67, 349)(68, 451)(69, 395)(70, 454)(71, 350)(72, 386)(73, 353)(74, 442)(75, 458)(76, 397)(77, 441)(78, 383)(79, 404)(80, 355)(81, 415)(82, 464)(83, 408)(84, 357)(85, 468)(86, 470)(87, 432)(88, 360)(89, 366)(90, 372)(91, 465)(92, 417)(93, 363)(94, 368)(95, 413)(96, 475)(97, 418)(98, 471)(99, 420)(100, 425)(101, 370)(102, 478)(103, 474)(104, 430)(105, 409)(106, 375)(107, 427)(108, 377)(109, 434)(110, 379)(111, 445)(112, 476)(113, 438)(114, 381)(115, 481)(116, 482)(117, 462)(118, 384)(119, 390)(120, 396)(121, 479)(122, 447)(123, 387)(124, 392)(125, 443)(126, 485)(127, 448)(128, 466)(129, 450)(130, 455)(131, 394)(132, 486)(133, 484)(134, 460)(135, 439)(136, 399)(137, 457)(138, 401)(139, 410)(140, 467)(141, 405)(142, 483)(143, 406)(144, 429)(145, 456)(146, 463)(147, 473)(148, 426)(149, 422)(150, 431)(151, 423)(152, 480)(153, 440)(154, 472)(155, 435)(156, 436)(157, 459)(158, 477)(159, 452)(160, 461)(161, 453)(162, 469)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2731
Graph:: simple bipartite
	v = 135 e = 324 f = 135
	degree seq :: [ 4^81, 6^54 ]

E28.2734 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = C3 x (((C3 x C3) : C3) : C2) (small group id <162, 41>)
Aut   = S3 x (((C3 x C3) : C3) : C2) (small group id <324, 122>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (Y3^-1 * Y2)^3, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^3, (Y3^-1 * Y2)^3, Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1, R * Y2^-1 * Y1 * Y2 * R * Y2 * Y1 * Y2^-1, Y3^-1 * Y2 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1 * Y2^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 163, 2, 164)(3, 165, 11, 173)(4, 166, 10, 172)(5, 167, 16, 178)(6, 168, 8, 170)(7, 169, 21, 183)(9, 171, 26, 188)(12, 174, 34, 196)(13, 175, 32, 194)(14, 176, 39, 201)(15, 177, 42, 204)(17, 179, 47, 209)(18, 180, 45, 207)(19, 181, 51, 213)(20, 182, 53, 215)(22, 184, 58, 220)(23, 185, 56, 218)(24, 186, 63, 225)(25, 187, 66, 228)(27, 189, 71, 233)(28, 190, 69, 231)(29, 191, 75, 237)(30, 192, 77, 239)(31, 193, 55, 217)(33, 195, 68, 230)(35, 197, 87, 249)(36, 198, 74, 236)(37, 199, 89, 251)(38, 200, 72, 234)(40, 202, 93, 255)(41, 203, 91, 253)(43, 205, 95, 257)(44, 206, 57, 219)(46, 208, 70, 232)(48, 210, 62, 224)(49, 211, 104, 266)(50, 212, 60, 222)(52, 214, 106, 268)(54, 216, 108, 270)(59, 221, 117, 279)(61, 223, 119, 281)(64, 226, 123, 285)(65, 227, 121, 283)(67, 229, 125, 287)(73, 235, 134, 296)(76, 238, 136, 298)(78, 240, 138, 300)(79, 241, 110, 272)(80, 242, 109, 271)(81, 243, 139, 301)(82, 244, 132, 294)(83, 245, 128, 290)(84, 246, 127, 289)(85, 247, 144, 306)(86, 248, 129, 291)(88, 250, 118, 280)(90, 252, 120, 282)(92, 254, 137, 299)(94, 256, 135, 297)(96, 258, 131, 293)(97, 259, 114, 276)(98, 260, 113, 275)(99, 261, 116, 278)(100, 262, 152, 314)(101, 263, 126, 288)(102, 264, 112, 274)(103, 265, 153, 315)(105, 267, 124, 286)(107, 269, 122, 284)(111, 273, 140, 302)(115, 277, 143, 305)(130, 292, 147, 309)(133, 295, 148, 310)(141, 303, 155, 317)(142, 304, 160, 322)(145, 307, 157, 319)(146, 308, 159, 321)(149, 311, 158, 320)(150, 312, 156, 318)(151, 313, 161, 323)(154, 316, 162, 324)(325, 487, 327, 489, 329, 491)(326, 488, 331, 493, 333, 495)(328, 490, 338, 500, 339, 501)(330, 492, 343, 505, 344, 506)(332, 494, 348, 510, 349, 511)(334, 496, 353, 515, 354, 516)(335, 497, 355, 517, 357, 519)(336, 498, 359, 521, 360, 522)(337, 499, 361, 523, 362, 524)(340, 502, 368, 530, 370, 532)(341, 503, 372, 534, 373, 535)(342, 504, 374, 536, 364, 526)(345, 507, 379, 541, 381, 543)(346, 508, 383, 545, 384, 546)(347, 509, 385, 547, 386, 548)(350, 512, 392, 554, 394, 556)(351, 513, 396, 558, 397, 559)(352, 514, 398, 560, 388, 550)(356, 518, 405, 567, 406, 568)(358, 520, 409, 571, 410, 572)(363, 525, 404, 566, 416, 578)(365, 527, 378, 540, 414, 576)(366, 528, 418, 580, 420, 582)(367, 529, 412, 574, 376, 538)(369, 531, 423, 585, 424, 586)(371, 533, 426, 588, 427, 589)(375, 537, 403, 565, 429, 591)(377, 539, 431, 593, 425, 587)(380, 542, 435, 597, 436, 598)(382, 544, 439, 601, 440, 602)(387, 549, 434, 596, 446, 608)(389, 551, 402, 564, 444, 606)(390, 552, 448, 610, 450, 612)(391, 553, 442, 604, 400, 562)(393, 555, 453, 615, 454, 616)(395, 557, 456, 618, 457, 619)(399, 561, 433, 595, 459, 621)(401, 563, 461, 623, 455, 617)(407, 569, 417, 579, 467, 629)(408, 570, 428, 590, 464, 626)(411, 573, 422, 584, 471, 633)(413, 575, 421, 583, 472, 634)(415, 577, 465, 627, 470, 632)(419, 581, 474, 636, 475, 637)(430, 592, 469, 631, 466, 628)(432, 594, 473, 635, 478, 640)(437, 599, 447, 609, 468, 630)(438, 600, 458, 620, 463, 625)(441, 603, 452, 614, 476, 638)(443, 605, 451, 613, 477, 639)(445, 607, 479, 641, 482, 644)(449, 611, 484, 646, 485, 647)(460, 622, 481, 643, 480, 642)(462, 624, 483, 645, 486, 648)
	L = (1, 328)(2, 332)(3, 336)(4, 330)(5, 341)(6, 325)(7, 346)(8, 334)(9, 351)(10, 326)(11, 356)(12, 337)(13, 327)(14, 364)(15, 361)(16, 369)(17, 342)(18, 329)(19, 376)(20, 378)(21, 380)(22, 347)(23, 331)(24, 388)(25, 385)(26, 393)(27, 352)(28, 333)(29, 400)(30, 402)(31, 403)(32, 358)(33, 407)(34, 335)(35, 344)(36, 374)(37, 367)(38, 414)(39, 415)(40, 365)(41, 338)(42, 419)(43, 339)(44, 421)(45, 371)(46, 425)(47, 340)(48, 362)(49, 343)(50, 412)(51, 428)(52, 373)(53, 411)(54, 359)(55, 433)(56, 382)(57, 437)(58, 345)(59, 354)(60, 398)(61, 391)(62, 444)(63, 445)(64, 389)(65, 348)(66, 449)(67, 349)(68, 451)(69, 395)(70, 455)(71, 350)(72, 386)(73, 353)(74, 442)(75, 458)(76, 397)(77, 441)(78, 383)(79, 404)(80, 355)(81, 464)(82, 416)(83, 408)(84, 357)(85, 469)(86, 470)(87, 432)(88, 360)(89, 366)(90, 372)(91, 417)(92, 466)(93, 363)(94, 473)(95, 413)(96, 370)(97, 422)(98, 368)(99, 418)(100, 471)(101, 420)(102, 474)(103, 478)(104, 430)(105, 410)(106, 375)(107, 426)(108, 377)(109, 434)(110, 379)(111, 463)(112, 446)(113, 438)(114, 381)(115, 481)(116, 482)(117, 462)(118, 384)(119, 390)(120, 396)(121, 447)(122, 480)(123, 387)(124, 483)(125, 443)(126, 394)(127, 452)(128, 392)(129, 448)(130, 476)(131, 450)(132, 484)(133, 486)(134, 460)(135, 440)(136, 399)(137, 456)(138, 401)(139, 479)(140, 465)(141, 405)(142, 406)(143, 409)(144, 439)(145, 467)(146, 429)(147, 475)(148, 427)(149, 423)(150, 431)(151, 424)(152, 485)(153, 457)(154, 472)(155, 435)(156, 436)(157, 468)(158, 459)(159, 453)(160, 461)(161, 454)(162, 477)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 135 e = 324 f = 135
	degree seq :: [ 4^81, 6^54 ]

E28.2735 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: halfedge^2
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 17>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 37>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, (Y2 * Y3)^3, (Y3 * Y2)^3, Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y3, Y1 * Y3 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3, Y3 * Y2 * Y1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1, Y3 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y3 * Y1 * Y2, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 164, 2, 163)(3, 169, 7, 165)(4, 171, 9, 166)(5, 173, 11, 167)(6, 175, 13, 168)(8, 179, 17, 170)(10, 183, 21, 172)(12, 186, 24, 174)(14, 190, 28, 176)(15, 191, 29, 177)(16, 193, 31, 178)(18, 197, 35, 180)(19, 198, 36, 181)(20, 200, 38, 182)(22, 204, 42, 184)(23, 206, 44, 185)(25, 210, 48, 187)(26, 211, 49, 188)(27, 213, 51, 189)(30, 209, 47, 192)(32, 222, 60, 194)(33, 223, 61, 195)(34, 205, 43, 196)(37, 230, 68, 199)(39, 215, 53, 201)(40, 214, 52, 202)(41, 234, 72, 203)(45, 241, 79, 207)(46, 242, 80, 208)(50, 249, 87, 212)(54, 253, 91, 216)(55, 255, 93, 217)(56, 256, 94, 218)(57, 258, 96, 219)(58, 259, 97, 220)(59, 261, 99, 221)(62, 243, 81, 224)(63, 252, 90, 225)(64, 262, 100, 226)(65, 264, 102, 227)(66, 265, 103, 228)(67, 266, 104, 229)(69, 260, 98, 231)(70, 267, 105, 232)(71, 244, 82, 233)(73, 254, 92, 235)(74, 268, 106, 236)(75, 269, 107, 237)(76, 271, 109, 238)(77, 272, 110, 239)(78, 274, 112, 240)(83, 275, 113, 245)(84, 277, 115, 246)(85, 278, 116, 247)(86, 279, 117, 248)(88, 273, 111, 250)(89, 280, 118, 251)(95, 276, 114, 257)(101, 270, 108, 263)(119, 303, 141, 281)(120, 304, 142, 282)(121, 305, 143, 283)(122, 307, 145, 284)(123, 308, 146, 285)(124, 309, 147, 286)(125, 310, 148, 287)(126, 306, 144, 288)(127, 311, 149, 289)(128, 312, 150, 290)(129, 313, 151, 291)(130, 314, 152, 292)(131, 315, 153, 293)(132, 316, 154, 294)(133, 318, 156, 295)(134, 319, 157, 296)(135, 320, 158, 297)(136, 321, 159, 298)(137, 317, 155, 299)(138, 322, 160, 300)(139, 323, 161, 301)(140, 324, 162, 302)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 18)(9, 19)(11, 22)(12, 25)(13, 26)(16, 32)(17, 33)(20, 39)(21, 40)(23, 45)(24, 46)(27, 52)(28, 53)(29, 55)(30, 57)(31, 58)(34, 63)(35, 64)(36, 66)(37, 69)(38, 70)(41, 73)(42, 74)(43, 76)(44, 77)(47, 82)(48, 83)(49, 85)(50, 88)(51, 89)(54, 92)(56, 95)(59, 100)(60, 90)(61, 101)(62, 87)(65, 91)(67, 96)(68, 81)(71, 79)(72, 84)(75, 108)(78, 113)(80, 114)(86, 109)(93, 119)(94, 121)(97, 124)(98, 126)(99, 127)(102, 123)(103, 120)(104, 122)(105, 125)(106, 130)(107, 132)(110, 135)(111, 137)(112, 138)(115, 134)(116, 131)(117, 133)(118, 136)(128, 144)(129, 146)(139, 155)(140, 157)(141, 152)(142, 159)(143, 160)(145, 158)(147, 156)(148, 153)(149, 154)(150, 161)(151, 162)(163, 166)(164, 168)(165, 170)(167, 174)(169, 178)(171, 182)(172, 180)(173, 185)(175, 189)(176, 187)(177, 192)(179, 196)(181, 199)(183, 203)(184, 205)(186, 209)(188, 212)(190, 216)(191, 218)(193, 221)(194, 219)(195, 224)(197, 227)(198, 229)(200, 217)(201, 231)(202, 233)(204, 237)(206, 240)(207, 238)(208, 243)(210, 246)(211, 248)(213, 236)(214, 250)(215, 252)(220, 260)(222, 254)(223, 245)(225, 249)(226, 242)(228, 264)(230, 244)(232, 257)(234, 263)(235, 241)(239, 273)(247, 277)(251, 270)(253, 276)(255, 282)(256, 284)(258, 285)(259, 287)(261, 281)(262, 288)(265, 289)(266, 290)(267, 291)(268, 293)(269, 295)(271, 296)(272, 298)(274, 292)(275, 299)(278, 300)(279, 301)(280, 302)(283, 306)(286, 308)(294, 317)(297, 319)(303, 318)(304, 315)(305, 316)(307, 314)(309, 320)(310, 323)(311, 324)(312, 321)(313, 322)
	local type(s) :: { ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E28.2736
Transitivity :: VT+ AT
Graph:: simple
	v = 81 e = 162 f = 27
	degree seq :: [ 4^81 ]

E28.2736 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: halfedge^2
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 17>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 37>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y1^2 * Y3 * Y1^-2, Y1^6, (Y3 * Y2)^3, Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1, (Y1^-1 * Y2 * Y3)^2, Y3 * Y1^3 * Y2 * Y3 * Y1 * Y2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 164, 2, 168, 6, 180, 18, 179, 17, 167, 5, 163)(3, 171, 9, 181, 19, 207, 45, 195, 33, 173, 11, 165)(4, 174, 12, 182, 20, 209, 47, 201, 39, 176, 14, 166)(7, 183, 21, 205, 43, 202, 40, 177, 15, 185, 23, 169)(8, 186, 24, 206, 44, 204, 42, 178, 16, 188, 26, 170)(10, 191, 29, 208, 46, 203, 41, 219, 57, 187, 25, 172)(13, 198, 36, 210, 48, 184, 22, 213, 51, 199, 37, 175)(27, 221, 59, 237, 75, 229, 67, 193, 31, 223, 61, 189)(28, 224, 62, 196, 34, 230, 68, 194, 32, 225, 63, 190)(30, 227, 65, 238, 76, 222, 60, 245, 83, 228, 66, 192)(35, 231, 69, 239, 77, 234, 72, 200, 38, 232, 70, 197)(49, 240, 78, 235, 73, 248, 86, 215, 53, 242, 80, 211)(50, 243, 81, 217, 55, 249, 87, 216, 54, 244, 82, 212)(52, 246, 84, 226, 64, 241, 79, 233, 71, 247, 85, 214)(56, 250, 88, 236, 74, 252, 90, 220, 58, 251, 89, 218)(91, 271, 109, 260, 98, 275, 113, 255, 93, 272, 110, 253)(92, 273, 111, 257, 95, 276, 114, 256, 94, 274, 112, 254)(96, 277, 115, 261, 99, 279, 117, 259, 97, 278, 116, 258)(100, 280, 118, 269, 107, 284, 122, 264, 102, 281, 119, 262)(101, 282, 120, 266, 104, 285, 123, 265, 103, 283, 121, 263)(105, 286, 124, 270, 108, 288, 126, 268, 106, 287, 125, 267)(127, 307, 145, 296, 134, 311, 149, 291, 129, 308, 146, 289)(128, 309, 147, 293, 131, 312, 150, 292, 130, 310, 148, 290)(132, 313, 151, 297, 135, 315, 153, 295, 133, 314, 152, 294)(136, 316, 154, 305, 143, 320, 158, 300, 138, 317, 155, 298)(137, 318, 156, 302, 140, 321, 159, 301, 139, 319, 157, 299)(141, 322, 160, 306, 144, 324, 162, 304, 142, 323, 161, 303)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 27)(10, 30)(11, 31)(12, 34)(14, 28)(16, 41)(17, 33)(18, 43)(20, 48)(21, 49)(22, 52)(23, 53)(24, 55)(26, 50)(29, 44)(32, 47)(35, 66)(36, 71)(37, 64)(38, 60)(39, 51)(40, 73)(42, 54)(45, 75)(46, 76)(56, 85)(57, 83)(58, 79)(59, 91)(61, 93)(62, 95)(63, 92)(65, 77)(67, 98)(68, 94)(69, 97)(70, 99)(72, 96)(74, 84)(78, 100)(80, 102)(81, 104)(82, 101)(86, 107)(87, 103)(88, 106)(89, 108)(90, 105)(109, 127)(110, 129)(111, 131)(112, 128)(113, 134)(114, 130)(115, 133)(116, 135)(117, 132)(118, 136)(119, 138)(120, 140)(121, 137)(122, 143)(123, 139)(124, 142)(125, 144)(126, 141)(145, 158)(146, 154)(147, 161)(148, 162)(149, 155)(150, 160)(151, 156)(152, 157)(153, 159)(163, 166)(164, 170)(165, 172)(167, 178)(168, 182)(169, 184)(171, 190)(173, 194)(174, 197)(175, 192)(176, 200)(177, 198)(179, 201)(180, 206)(181, 208)(183, 212)(185, 216)(186, 218)(187, 214)(188, 220)(189, 222)(191, 226)(193, 227)(195, 219)(196, 207)(199, 205)(202, 217)(203, 233)(204, 236)(209, 239)(210, 238)(211, 241)(213, 245)(215, 246)(221, 254)(223, 256)(224, 258)(225, 259)(228, 237)(229, 257)(230, 261)(231, 253)(232, 255)(234, 260)(235, 247)(240, 263)(242, 265)(243, 267)(244, 268)(248, 266)(249, 270)(250, 262)(251, 264)(252, 269)(271, 290)(272, 292)(273, 294)(274, 295)(275, 293)(276, 297)(277, 289)(278, 291)(279, 296)(280, 299)(281, 301)(282, 303)(283, 304)(284, 302)(285, 306)(286, 298)(287, 300)(288, 305)(307, 324)(308, 322)(309, 321)(310, 318)(311, 323)(312, 319)(313, 320)(314, 316)(315, 317)
	local type(s) :: { ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2735
Transitivity :: VT+ AT
Graph::
	v = 27 e = 162 f = 81
	degree seq :: [ 12^27 ]

E28.2737 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: edge^2
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 17>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 37>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1)^3, Y3 * Y1 * Y3 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1, Y2 * Y3 * Y2 * Y1 * Y3 * Y2 * Y3 * Y1 * Y2 * Y3 * Y2 * Y1, Y3 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y3 * Y1, (Y3 * Y2)^9 ]
Map:: polytopal
	R = (1, 163, 4, 166)(2, 164, 6, 168)(3, 165, 8, 170)(5, 167, 12, 174)(7, 169, 15, 177)(9, 171, 19, 181)(10, 172, 21, 183)(11, 173, 22, 184)(13, 175, 26, 188)(14, 176, 28, 190)(16, 178, 32, 194)(17, 179, 34, 196)(18, 180, 36, 198)(20, 182, 39, 201)(23, 185, 45, 207)(24, 186, 47, 209)(25, 187, 49, 211)(27, 189, 52, 214)(29, 191, 56, 218)(30, 192, 58, 220)(31, 193, 60, 222)(33, 195, 63, 225)(35, 197, 65, 227)(37, 199, 67, 229)(38, 200, 69, 231)(40, 202, 72, 234)(41, 203, 73, 235)(42, 204, 75, 237)(43, 205, 77, 239)(44, 206, 79, 241)(46, 208, 82, 244)(48, 210, 84, 246)(50, 212, 86, 248)(51, 213, 88, 250)(53, 215, 91, 253)(54, 216, 92, 254)(55, 217, 85, 247)(57, 219, 89, 251)(59, 221, 90, 252)(61, 223, 96, 258)(62, 224, 97, 259)(64, 226, 98, 260)(66, 228, 74, 236)(68, 230, 93, 255)(70, 232, 76, 238)(71, 233, 78, 240)(80, 242, 109, 271)(81, 243, 110, 272)(83, 245, 111, 273)(87, 249, 106, 268)(94, 256, 119, 281)(95, 257, 120, 282)(99, 261, 123, 285)(100, 262, 124, 286)(101, 263, 125, 287)(102, 264, 126, 288)(103, 265, 127, 289)(104, 266, 128, 290)(105, 267, 129, 291)(107, 269, 130, 292)(108, 270, 131, 293)(112, 274, 134, 296)(113, 275, 135, 297)(114, 276, 136, 298)(115, 277, 137, 299)(116, 278, 138, 300)(117, 279, 139, 301)(118, 280, 140, 302)(121, 283, 141, 303)(122, 284, 142, 304)(132, 294, 152, 314)(133, 295, 153, 315)(143, 305, 154, 316)(144, 306, 157, 319)(145, 307, 159, 321)(146, 308, 155, 317)(147, 309, 160, 322)(148, 310, 156, 318)(149, 311, 158, 320)(150, 312, 161, 323)(151, 313, 162, 324)(325, 326)(327, 331)(328, 333)(329, 335)(330, 337)(332, 340)(334, 344)(336, 347)(338, 351)(339, 353)(341, 357)(342, 359)(343, 361)(345, 364)(346, 366)(348, 370)(349, 372)(350, 374)(352, 377)(354, 381)(355, 383)(356, 385)(358, 388)(360, 390)(362, 392)(363, 387)(365, 380)(367, 400)(368, 402)(369, 404)(371, 407)(373, 409)(375, 411)(376, 406)(378, 399)(379, 417)(382, 419)(384, 403)(386, 408)(389, 405)(391, 423)(393, 425)(394, 413)(395, 418)(396, 427)(397, 429)(398, 430)(401, 432)(410, 436)(412, 438)(414, 431)(415, 440)(416, 442)(420, 437)(421, 439)(422, 441)(424, 433)(426, 434)(428, 435)(443, 456)(444, 457)(445, 454)(446, 455)(447, 467)(448, 469)(449, 471)(450, 473)(451, 468)(452, 470)(453, 472)(458, 478)(459, 480)(460, 482)(461, 484)(462, 479)(463, 481)(464, 483)(465, 485)(466, 486)(474, 476)(475, 477)(487, 489)(488, 491)(490, 496)(492, 500)(493, 497)(494, 503)(495, 504)(498, 510)(499, 511)(501, 516)(502, 517)(505, 524)(506, 521)(507, 527)(508, 529)(509, 530)(512, 537)(513, 534)(514, 540)(515, 541)(518, 548)(519, 545)(520, 536)(522, 535)(523, 533)(525, 556)(526, 557)(528, 560)(531, 567)(532, 564)(538, 575)(539, 576)(542, 580)(543, 579)(544, 566)(546, 571)(547, 563)(549, 568)(550, 573)(551, 581)(552, 565)(553, 586)(554, 569)(555, 588)(558, 590)(559, 585)(561, 593)(562, 592)(570, 594)(572, 599)(574, 601)(577, 603)(578, 598)(582, 604)(583, 607)(584, 608)(587, 605)(589, 606)(591, 595)(596, 618)(597, 619)(600, 616)(602, 617)(609, 630)(610, 632)(611, 634)(612, 629)(613, 635)(614, 636)(615, 637)(620, 641)(621, 643)(622, 645)(623, 640)(624, 646)(625, 647)(626, 648)(627, 642)(628, 644)(631, 638)(633, 639)
	L = (1, 325)(2, 326)(3, 327)(4, 328)(5, 329)(6, 330)(7, 331)(8, 332)(9, 333)(10, 334)(11, 335)(12, 336)(13, 337)(14, 338)(15, 339)(16, 340)(17, 341)(18, 342)(19, 343)(20, 344)(21, 345)(22, 346)(23, 347)(24, 348)(25, 349)(26, 350)(27, 351)(28, 352)(29, 353)(30, 354)(31, 355)(32, 356)(33, 357)(34, 358)(35, 359)(36, 360)(37, 361)(38, 362)(39, 363)(40, 364)(41, 365)(42, 366)(43, 367)(44, 368)(45, 369)(46, 370)(47, 371)(48, 372)(49, 373)(50, 374)(51, 375)(52, 376)(53, 377)(54, 378)(55, 379)(56, 380)(57, 381)(58, 382)(59, 383)(60, 384)(61, 385)(62, 386)(63, 387)(64, 388)(65, 389)(66, 390)(67, 391)(68, 392)(69, 393)(70, 394)(71, 395)(72, 396)(73, 397)(74, 398)(75, 399)(76, 400)(77, 401)(78, 402)(79, 403)(80, 404)(81, 405)(82, 406)(83, 407)(84, 408)(85, 409)(86, 410)(87, 411)(88, 412)(89, 413)(90, 414)(91, 415)(92, 416)(93, 417)(94, 418)(95, 419)(96, 420)(97, 421)(98, 422)(99, 423)(100, 424)(101, 425)(102, 426)(103, 427)(104, 428)(105, 429)(106, 430)(107, 431)(108, 432)(109, 433)(110, 434)(111, 435)(112, 436)(113, 437)(114, 438)(115, 439)(116, 440)(117, 441)(118, 442)(119, 443)(120, 444)(121, 445)(122, 446)(123, 447)(124, 448)(125, 449)(126, 450)(127, 451)(128, 452)(129, 453)(130, 454)(131, 455)(132, 456)(133, 457)(134, 458)(135, 459)(136, 460)(137, 461)(138, 462)(139, 463)(140, 464)(141, 465)(142, 466)(143, 467)(144, 468)(145, 469)(146, 470)(147, 471)(148, 472)(149, 473)(150, 474)(151, 475)(152, 476)(153, 477)(154, 478)(155, 479)(156, 480)(157, 481)(158, 482)(159, 483)(160, 484)(161, 485)(162, 486)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 24, 24 ), ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E28.2740
Graph:: simple bipartite
	v = 243 e = 324 f = 27
	degree seq :: [ 2^162, 4^81 ]

E28.2738 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: edge^2
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 17>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 37>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y1 * Y3^2 * Y1 * Y3^-2, Y3^6, (Y2 * Y1)^3, (Y1 * Y3^-1 * Y2)^2, Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-1, Y3^2 * Y1 * Y3^-2 * Y1, Y3 * Y2 * Y3^2 * Y1 * Y3 * Y2 * Y1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 ]
Map:: polytopal
	R = (1, 163, 4, 166, 14, 176, 39, 201, 17, 179, 5, 167)(2, 164, 7, 169, 23, 185, 55, 217, 26, 188, 8, 170)(3, 165, 10, 172, 30, 192, 52, 214, 33, 195, 11, 173)(6, 168, 19, 181, 46, 208, 36, 198, 49, 211, 20, 182)(9, 171, 27, 189, 60, 222, 40, 202, 62, 224, 28, 190)(12, 174, 34, 196, 59, 221, 41, 203, 15, 177, 35, 197)(13, 175, 37, 199, 47, 209, 42, 204, 16, 178, 38, 200)(18, 180, 43, 205, 76, 238, 56, 218, 78, 240, 44, 206)(21, 183, 50, 212, 75, 237, 57, 219, 24, 186, 51, 213)(22, 184, 53, 215, 31, 193, 58, 220, 25, 187, 54, 216)(29, 191, 63, 225, 77, 239, 65, 227, 32, 194, 64, 226)(45, 207, 79, 241, 61, 223, 81, 243, 48, 210, 80, 242)(66, 228, 91, 253, 73, 235, 95, 257, 68, 230, 92, 254)(67, 229, 93, 255, 71, 233, 96, 258, 69, 231, 94, 256)(70, 232, 97, 259, 74, 236, 99, 261, 72, 234, 98, 260)(82, 244, 100, 262, 89, 251, 104, 266, 84, 246, 101, 263)(83, 245, 102, 264, 87, 249, 105, 267, 85, 247, 103, 265)(86, 248, 106, 268, 90, 252, 108, 270, 88, 250, 107, 269)(109, 271, 127, 289, 116, 278, 131, 293, 111, 273, 128, 290)(110, 272, 129, 291, 114, 276, 132, 294, 112, 274, 130, 292)(113, 275, 133, 295, 117, 279, 135, 297, 115, 277, 134, 296)(118, 280, 136, 298, 125, 287, 140, 302, 120, 282, 137, 299)(119, 281, 138, 300, 123, 285, 141, 303, 121, 283, 139, 301)(122, 284, 142, 304, 126, 288, 144, 306, 124, 286, 143, 305)(145, 307, 156, 318, 152, 314, 154, 316, 147, 309, 161, 323)(146, 308, 160, 322, 150, 312, 158, 320, 148, 310, 162, 324)(149, 311, 157, 319, 153, 315, 155, 317, 151, 313, 159, 321)(325, 326)(327, 333)(328, 336)(329, 339)(330, 342)(331, 345)(332, 348)(334, 349)(335, 355)(337, 360)(338, 347)(340, 343)(341, 350)(344, 371)(346, 376)(351, 372)(352, 385)(353, 380)(354, 384)(356, 367)(357, 386)(358, 390)(359, 392)(361, 393)(362, 395)(363, 383)(364, 369)(365, 397)(366, 391)(368, 401)(370, 400)(373, 402)(374, 406)(375, 408)(377, 409)(378, 411)(379, 399)(381, 413)(382, 407)(387, 414)(388, 410)(389, 412)(394, 404)(396, 405)(398, 403)(415, 433)(416, 435)(417, 436)(418, 438)(419, 440)(420, 434)(421, 441)(422, 437)(423, 439)(424, 442)(425, 444)(426, 445)(427, 447)(428, 449)(429, 443)(430, 450)(431, 446)(432, 448)(451, 469)(452, 471)(453, 472)(454, 474)(455, 476)(456, 470)(457, 477)(458, 473)(459, 475)(460, 478)(461, 480)(462, 481)(463, 483)(464, 485)(465, 479)(466, 486)(467, 482)(468, 484)(487, 489)(488, 492)(490, 499)(491, 502)(493, 508)(494, 511)(495, 504)(496, 515)(497, 518)(498, 514)(500, 516)(501, 526)(503, 519)(505, 531)(506, 534)(507, 530)(509, 532)(510, 542)(512, 535)(513, 545)(517, 541)(520, 553)(521, 555)(522, 547)(523, 556)(524, 558)(525, 533)(527, 557)(528, 560)(529, 561)(536, 569)(537, 571)(538, 563)(539, 572)(540, 574)(543, 573)(544, 576)(546, 562)(548, 564)(549, 568)(550, 570)(551, 575)(552, 565)(554, 566)(559, 567)(577, 596)(578, 598)(579, 599)(580, 601)(581, 600)(582, 603)(583, 595)(584, 597)(585, 602)(586, 605)(587, 607)(588, 608)(589, 610)(590, 609)(591, 612)(592, 604)(593, 606)(594, 611)(613, 632)(614, 634)(615, 635)(616, 637)(617, 636)(618, 639)(619, 631)(620, 633)(621, 638)(622, 641)(623, 643)(624, 644)(625, 646)(626, 645)(627, 648)(628, 640)(629, 642)(630, 647)
	L = (1, 325)(2, 326)(3, 327)(4, 328)(5, 329)(6, 330)(7, 331)(8, 332)(9, 333)(10, 334)(11, 335)(12, 336)(13, 337)(14, 338)(15, 339)(16, 340)(17, 341)(18, 342)(19, 343)(20, 344)(21, 345)(22, 346)(23, 347)(24, 348)(25, 349)(26, 350)(27, 351)(28, 352)(29, 353)(30, 354)(31, 355)(32, 356)(33, 357)(34, 358)(35, 359)(36, 360)(37, 361)(38, 362)(39, 363)(40, 364)(41, 365)(42, 366)(43, 367)(44, 368)(45, 369)(46, 370)(47, 371)(48, 372)(49, 373)(50, 374)(51, 375)(52, 376)(53, 377)(54, 378)(55, 379)(56, 380)(57, 381)(58, 382)(59, 383)(60, 384)(61, 385)(62, 386)(63, 387)(64, 388)(65, 389)(66, 390)(67, 391)(68, 392)(69, 393)(70, 394)(71, 395)(72, 396)(73, 397)(74, 398)(75, 399)(76, 400)(77, 401)(78, 402)(79, 403)(80, 404)(81, 405)(82, 406)(83, 407)(84, 408)(85, 409)(86, 410)(87, 411)(88, 412)(89, 413)(90, 414)(91, 415)(92, 416)(93, 417)(94, 418)(95, 419)(96, 420)(97, 421)(98, 422)(99, 423)(100, 424)(101, 425)(102, 426)(103, 427)(104, 428)(105, 429)(106, 430)(107, 431)(108, 432)(109, 433)(110, 434)(111, 435)(112, 436)(113, 437)(114, 438)(115, 439)(116, 440)(117, 441)(118, 442)(119, 443)(120, 444)(121, 445)(122, 446)(123, 447)(124, 448)(125, 449)(126, 450)(127, 451)(128, 452)(129, 453)(130, 454)(131, 455)(132, 456)(133, 457)(134, 458)(135, 459)(136, 460)(137, 461)(138, 462)(139, 463)(140, 464)(141, 465)(142, 466)(143, 467)(144, 468)(145, 469)(146, 470)(147, 471)(148, 472)(149, 473)(150, 474)(151, 475)(152, 476)(153, 477)(154, 478)(155, 479)(156, 480)(157, 481)(158, 482)(159, 483)(160, 484)(161, 485)(162, 486)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 8, 8 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2739
Graph:: simple bipartite
	v = 189 e = 324 f = 81
	degree seq :: [ 2^162, 12^27 ]

E28.2739 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 6})
Quotient :: loop^2
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 17>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 37>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1)^3, Y3 * Y1 * Y3 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1, Y2 * Y3 * Y2 * Y1 * Y3 * Y2 * Y3 * Y1 * Y2 * Y3 * Y2 * Y1, Y3 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y3 * Y1, (Y3 * Y2)^9 ]
Map::
	R = (1, 163, 325, 487, 4, 166, 328, 490)(2, 164, 326, 488, 6, 168, 330, 492)(3, 165, 327, 489, 8, 170, 332, 494)(5, 167, 329, 491, 12, 174, 336, 498)(7, 169, 331, 493, 15, 177, 339, 501)(9, 171, 333, 495, 19, 181, 343, 505)(10, 172, 334, 496, 21, 183, 345, 507)(11, 173, 335, 497, 22, 184, 346, 508)(13, 175, 337, 499, 26, 188, 350, 512)(14, 176, 338, 500, 28, 190, 352, 514)(16, 178, 340, 502, 32, 194, 356, 518)(17, 179, 341, 503, 34, 196, 358, 520)(18, 180, 342, 504, 36, 198, 360, 522)(20, 182, 344, 506, 39, 201, 363, 525)(23, 185, 347, 509, 45, 207, 369, 531)(24, 186, 348, 510, 47, 209, 371, 533)(25, 187, 349, 511, 49, 211, 373, 535)(27, 189, 351, 513, 52, 214, 376, 538)(29, 191, 353, 515, 56, 218, 380, 542)(30, 192, 354, 516, 58, 220, 382, 544)(31, 193, 355, 517, 60, 222, 384, 546)(33, 195, 357, 519, 63, 225, 387, 549)(35, 197, 359, 521, 65, 227, 389, 551)(37, 199, 361, 523, 67, 229, 391, 553)(38, 200, 362, 524, 69, 231, 393, 555)(40, 202, 364, 526, 72, 234, 396, 558)(41, 203, 365, 527, 73, 235, 397, 559)(42, 204, 366, 528, 75, 237, 399, 561)(43, 205, 367, 529, 77, 239, 401, 563)(44, 206, 368, 530, 79, 241, 403, 565)(46, 208, 370, 532, 82, 244, 406, 568)(48, 210, 372, 534, 84, 246, 408, 570)(50, 212, 374, 536, 86, 248, 410, 572)(51, 213, 375, 537, 88, 250, 412, 574)(53, 215, 377, 539, 91, 253, 415, 577)(54, 216, 378, 540, 92, 254, 416, 578)(55, 217, 379, 541, 85, 247, 409, 571)(57, 219, 381, 543, 89, 251, 413, 575)(59, 221, 383, 545, 90, 252, 414, 576)(61, 223, 385, 547, 96, 258, 420, 582)(62, 224, 386, 548, 97, 259, 421, 583)(64, 226, 388, 550, 98, 260, 422, 584)(66, 228, 390, 552, 74, 236, 398, 560)(68, 230, 392, 554, 93, 255, 417, 579)(70, 232, 394, 556, 76, 238, 400, 562)(71, 233, 395, 557, 78, 240, 402, 564)(80, 242, 404, 566, 109, 271, 433, 595)(81, 243, 405, 567, 110, 272, 434, 596)(83, 245, 407, 569, 111, 273, 435, 597)(87, 249, 411, 573, 106, 268, 430, 592)(94, 256, 418, 580, 119, 281, 443, 605)(95, 257, 419, 581, 120, 282, 444, 606)(99, 261, 423, 585, 123, 285, 447, 609)(100, 262, 424, 586, 124, 286, 448, 610)(101, 263, 425, 587, 125, 287, 449, 611)(102, 264, 426, 588, 126, 288, 450, 612)(103, 265, 427, 589, 127, 289, 451, 613)(104, 266, 428, 590, 128, 290, 452, 614)(105, 267, 429, 591, 129, 291, 453, 615)(107, 269, 431, 593, 130, 292, 454, 616)(108, 270, 432, 594, 131, 293, 455, 617)(112, 274, 436, 598, 134, 296, 458, 620)(113, 275, 437, 599, 135, 297, 459, 621)(114, 276, 438, 600, 136, 298, 460, 622)(115, 277, 439, 601, 137, 299, 461, 623)(116, 278, 440, 602, 138, 300, 462, 624)(117, 279, 441, 603, 139, 301, 463, 625)(118, 280, 442, 604, 140, 302, 464, 626)(121, 283, 445, 607, 141, 303, 465, 627)(122, 284, 446, 608, 142, 304, 466, 628)(132, 294, 456, 618, 152, 314, 476, 638)(133, 295, 457, 619, 153, 315, 477, 639)(143, 305, 467, 629, 154, 316, 478, 640)(144, 306, 468, 630, 157, 319, 481, 643)(145, 307, 469, 631, 159, 321, 483, 645)(146, 308, 470, 632, 155, 317, 479, 641)(147, 309, 471, 633, 160, 322, 484, 646)(148, 310, 472, 634, 156, 318, 480, 642)(149, 311, 473, 635, 158, 320, 482, 644)(150, 312, 474, 636, 161, 323, 485, 647)(151, 313, 475, 637, 162, 324, 486, 648)
	L = (1, 164)(2, 163)(3, 169)(4, 171)(5, 173)(6, 175)(7, 165)(8, 178)(9, 166)(10, 182)(11, 167)(12, 185)(13, 168)(14, 189)(15, 191)(16, 170)(17, 195)(18, 197)(19, 199)(20, 172)(21, 202)(22, 204)(23, 174)(24, 208)(25, 210)(26, 212)(27, 176)(28, 215)(29, 177)(30, 219)(31, 221)(32, 223)(33, 179)(34, 226)(35, 180)(36, 228)(37, 181)(38, 230)(39, 225)(40, 183)(41, 218)(42, 184)(43, 238)(44, 240)(45, 242)(46, 186)(47, 245)(48, 187)(49, 247)(50, 188)(51, 249)(52, 244)(53, 190)(54, 237)(55, 255)(56, 203)(57, 192)(58, 257)(59, 193)(60, 241)(61, 194)(62, 246)(63, 201)(64, 196)(65, 243)(66, 198)(67, 261)(68, 200)(69, 263)(70, 251)(71, 256)(72, 265)(73, 267)(74, 268)(75, 216)(76, 205)(77, 270)(78, 206)(79, 222)(80, 207)(81, 227)(82, 214)(83, 209)(84, 224)(85, 211)(86, 274)(87, 213)(88, 276)(89, 232)(90, 269)(91, 278)(92, 280)(93, 217)(94, 233)(95, 220)(96, 275)(97, 277)(98, 279)(99, 229)(100, 271)(101, 231)(102, 272)(103, 234)(104, 273)(105, 235)(106, 236)(107, 252)(108, 239)(109, 262)(110, 264)(111, 266)(112, 248)(113, 258)(114, 250)(115, 259)(116, 253)(117, 260)(118, 254)(119, 294)(120, 295)(121, 292)(122, 293)(123, 305)(124, 307)(125, 309)(126, 311)(127, 306)(128, 308)(129, 310)(130, 283)(131, 284)(132, 281)(133, 282)(134, 316)(135, 318)(136, 320)(137, 322)(138, 317)(139, 319)(140, 321)(141, 323)(142, 324)(143, 285)(144, 289)(145, 286)(146, 290)(147, 287)(148, 291)(149, 288)(150, 314)(151, 315)(152, 312)(153, 313)(154, 296)(155, 300)(156, 297)(157, 301)(158, 298)(159, 302)(160, 299)(161, 303)(162, 304)(325, 489)(326, 491)(327, 487)(328, 496)(329, 488)(330, 500)(331, 497)(332, 503)(333, 504)(334, 490)(335, 493)(336, 510)(337, 511)(338, 492)(339, 516)(340, 517)(341, 494)(342, 495)(343, 524)(344, 521)(345, 527)(346, 529)(347, 530)(348, 498)(349, 499)(350, 537)(351, 534)(352, 540)(353, 541)(354, 501)(355, 502)(356, 548)(357, 545)(358, 536)(359, 506)(360, 535)(361, 533)(362, 505)(363, 556)(364, 557)(365, 507)(366, 560)(367, 508)(368, 509)(369, 567)(370, 564)(371, 523)(372, 513)(373, 522)(374, 520)(375, 512)(376, 575)(377, 576)(378, 514)(379, 515)(380, 580)(381, 579)(382, 566)(383, 519)(384, 571)(385, 563)(386, 518)(387, 568)(388, 573)(389, 581)(390, 565)(391, 586)(392, 569)(393, 588)(394, 525)(395, 526)(396, 590)(397, 585)(398, 528)(399, 593)(400, 592)(401, 547)(402, 532)(403, 552)(404, 544)(405, 531)(406, 549)(407, 554)(408, 594)(409, 546)(410, 599)(411, 550)(412, 601)(413, 538)(414, 539)(415, 603)(416, 598)(417, 543)(418, 542)(419, 551)(420, 604)(421, 607)(422, 608)(423, 559)(424, 553)(425, 605)(426, 555)(427, 606)(428, 558)(429, 595)(430, 562)(431, 561)(432, 570)(433, 591)(434, 618)(435, 619)(436, 578)(437, 572)(438, 616)(439, 574)(440, 617)(441, 577)(442, 582)(443, 587)(444, 589)(445, 583)(446, 584)(447, 630)(448, 632)(449, 634)(450, 629)(451, 635)(452, 636)(453, 637)(454, 600)(455, 602)(456, 596)(457, 597)(458, 641)(459, 643)(460, 645)(461, 640)(462, 646)(463, 647)(464, 648)(465, 642)(466, 644)(467, 612)(468, 609)(469, 638)(470, 610)(471, 639)(472, 611)(473, 613)(474, 614)(475, 615)(476, 631)(477, 633)(478, 623)(479, 620)(480, 627)(481, 621)(482, 628)(483, 622)(484, 624)(485, 625)(486, 626)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2738
Transitivity :: VT+
Graph::
	v = 81 e = 324 f = 189
	degree seq :: [ 8^81 ]

E28.2740 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 6})
Quotient :: loop^2
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 17>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 37>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y1 * Y3^2 * Y1 * Y3^-2, Y3^6, (Y2 * Y1)^3, (Y1 * Y3^-1 * Y2)^2, Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-1, Y3^2 * Y1 * Y3^-2 * Y1, Y3 * Y2 * Y3^2 * Y1 * Y3 * Y2 * Y1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 ]
Map::
	R = (1, 163, 325, 487, 4, 166, 328, 490, 14, 176, 338, 500, 39, 201, 363, 525, 17, 179, 341, 503, 5, 167, 329, 491)(2, 164, 326, 488, 7, 169, 331, 493, 23, 185, 347, 509, 55, 217, 379, 541, 26, 188, 350, 512, 8, 170, 332, 494)(3, 165, 327, 489, 10, 172, 334, 496, 30, 192, 354, 516, 52, 214, 376, 538, 33, 195, 357, 519, 11, 173, 335, 497)(6, 168, 330, 492, 19, 181, 343, 505, 46, 208, 370, 532, 36, 198, 360, 522, 49, 211, 373, 535, 20, 182, 344, 506)(9, 171, 333, 495, 27, 189, 351, 513, 60, 222, 384, 546, 40, 202, 364, 526, 62, 224, 386, 548, 28, 190, 352, 514)(12, 174, 336, 498, 34, 196, 358, 520, 59, 221, 383, 545, 41, 203, 365, 527, 15, 177, 339, 501, 35, 197, 359, 521)(13, 175, 337, 499, 37, 199, 361, 523, 47, 209, 371, 533, 42, 204, 366, 528, 16, 178, 340, 502, 38, 200, 362, 524)(18, 180, 342, 504, 43, 205, 367, 529, 76, 238, 400, 562, 56, 218, 380, 542, 78, 240, 402, 564, 44, 206, 368, 530)(21, 183, 345, 507, 50, 212, 374, 536, 75, 237, 399, 561, 57, 219, 381, 543, 24, 186, 348, 510, 51, 213, 375, 537)(22, 184, 346, 508, 53, 215, 377, 539, 31, 193, 355, 517, 58, 220, 382, 544, 25, 187, 349, 511, 54, 216, 378, 540)(29, 191, 353, 515, 63, 225, 387, 549, 77, 239, 401, 563, 65, 227, 389, 551, 32, 194, 356, 518, 64, 226, 388, 550)(45, 207, 369, 531, 79, 241, 403, 565, 61, 223, 385, 547, 81, 243, 405, 567, 48, 210, 372, 534, 80, 242, 404, 566)(66, 228, 390, 552, 91, 253, 415, 577, 73, 235, 397, 559, 95, 257, 419, 581, 68, 230, 392, 554, 92, 254, 416, 578)(67, 229, 391, 553, 93, 255, 417, 579, 71, 233, 395, 557, 96, 258, 420, 582, 69, 231, 393, 555, 94, 256, 418, 580)(70, 232, 394, 556, 97, 259, 421, 583, 74, 236, 398, 560, 99, 261, 423, 585, 72, 234, 396, 558, 98, 260, 422, 584)(82, 244, 406, 568, 100, 262, 424, 586, 89, 251, 413, 575, 104, 266, 428, 590, 84, 246, 408, 570, 101, 263, 425, 587)(83, 245, 407, 569, 102, 264, 426, 588, 87, 249, 411, 573, 105, 267, 429, 591, 85, 247, 409, 571, 103, 265, 427, 589)(86, 248, 410, 572, 106, 268, 430, 592, 90, 252, 414, 576, 108, 270, 432, 594, 88, 250, 412, 574, 107, 269, 431, 593)(109, 271, 433, 595, 127, 289, 451, 613, 116, 278, 440, 602, 131, 293, 455, 617, 111, 273, 435, 597, 128, 290, 452, 614)(110, 272, 434, 596, 129, 291, 453, 615, 114, 276, 438, 600, 132, 294, 456, 618, 112, 274, 436, 598, 130, 292, 454, 616)(113, 275, 437, 599, 133, 295, 457, 619, 117, 279, 441, 603, 135, 297, 459, 621, 115, 277, 439, 601, 134, 296, 458, 620)(118, 280, 442, 604, 136, 298, 460, 622, 125, 287, 449, 611, 140, 302, 464, 626, 120, 282, 444, 606, 137, 299, 461, 623)(119, 281, 443, 605, 138, 300, 462, 624, 123, 285, 447, 609, 141, 303, 465, 627, 121, 283, 445, 607, 139, 301, 463, 625)(122, 284, 446, 608, 142, 304, 466, 628, 126, 288, 450, 612, 144, 306, 468, 630, 124, 286, 448, 610, 143, 305, 467, 629)(145, 307, 469, 631, 156, 318, 480, 642, 152, 314, 476, 638, 154, 316, 478, 640, 147, 309, 471, 633, 161, 323, 485, 647)(146, 308, 470, 632, 160, 322, 484, 646, 150, 312, 474, 636, 158, 320, 482, 644, 148, 310, 472, 634, 162, 324, 486, 648)(149, 311, 473, 635, 157, 319, 481, 643, 153, 315, 477, 639, 155, 317, 479, 641, 151, 313, 475, 637, 159, 321, 483, 645)
	L = (1, 164)(2, 163)(3, 171)(4, 174)(5, 177)(6, 180)(7, 183)(8, 186)(9, 165)(10, 187)(11, 193)(12, 166)(13, 198)(14, 185)(15, 167)(16, 181)(17, 188)(18, 168)(19, 178)(20, 209)(21, 169)(22, 214)(23, 176)(24, 170)(25, 172)(26, 179)(27, 210)(28, 223)(29, 218)(30, 222)(31, 173)(32, 205)(33, 224)(34, 228)(35, 230)(36, 175)(37, 231)(38, 233)(39, 221)(40, 207)(41, 235)(42, 229)(43, 194)(44, 239)(45, 202)(46, 238)(47, 182)(48, 189)(49, 240)(50, 244)(51, 246)(52, 184)(53, 247)(54, 249)(55, 237)(56, 191)(57, 251)(58, 245)(59, 201)(60, 192)(61, 190)(62, 195)(63, 252)(64, 248)(65, 250)(66, 196)(67, 204)(68, 197)(69, 199)(70, 242)(71, 200)(72, 243)(73, 203)(74, 241)(75, 217)(76, 208)(77, 206)(78, 211)(79, 236)(80, 232)(81, 234)(82, 212)(83, 220)(84, 213)(85, 215)(86, 226)(87, 216)(88, 227)(89, 219)(90, 225)(91, 271)(92, 273)(93, 274)(94, 276)(95, 278)(96, 272)(97, 279)(98, 275)(99, 277)(100, 280)(101, 282)(102, 283)(103, 285)(104, 287)(105, 281)(106, 288)(107, 284)(108, 286)(109, 253)(110, 258)(111, 254)(112, 255)(113, 260)(114, 256)(115, 261)(116, 257)(117, 259)(118, 262)(119, 267)(120, 263)(121, 264)(122, 269)(123, 265)(124, 270)(125, 266)(126, 268)(127, 307)(128, 309)(129, 310)(130, 312)(131, 314)(132, 308)(133, 315)(134, 311)(135, 313)(136, 316)(137, 318)(138, 319)(139, 321)(140, 323)(141, 317)(142, 324)(143, 320)(144, 322)(145, 289)(146, 294)(147, 290)(148, 291)(149, 296)(150, 292)(151, 297)(152, 293)(153, 295)(154, 298)(155, 303)(156, 299)(157, 300)(158, 305)(159, 301)(160, 306)(161, 302)(162, 304)(325, 489)(326, 492)(327, 487)(328, 499)(329, 502)(330, 488)(331, 508)(332, 511)(333, 504)(334, 515)(335, 518)(336, 514)(337, 490)(338, 516)(339, 526)(340, 491)(341, 519)(342, 495)(343, 531)(344, 534)(345, 530)(346, 493)(347, 532)(348, 542)(349, 494)(350, 535)(351, 545)(352, 498)(353, 496)(354, 500)(355, 541)(356, 497)(357, 503)(358, 553)(359, 555)(360, 547)(361, 556)(362, 558)(363, 533)(364, 501)(365, 557)(366, 560)(367, 561)(368, 507)(369, 505)(370, 509)(371, 525)(372, 506)(373, 512)(374, 569)(375, 571)(376, 563)(377, 572)(378, 574)(379, 517)(380, 510)(381, 573)(382, 576)(383, 513)(384, 562)(385, 522)(386, 564)(387, 568)(388, 570)(389, 575)(390, 565)(391, 520)(392, 566)(393, 521)(394, 523)(395, 527)(396, 524)(397, 567)(398, 528)(399, 529)(400, 546)(401, 538)(402, 548)(403, 552)(404, 554)(405, 559)(406, 549)(407, 536)(408, 550)(409, 537)(410, 539)(411, 543)(412, 540)(413, 551)(414, 544)(415, 596)(416, 598)(417, 599)(418, 601)(419, 600)(420, 603)(421, 595)(422, 597)(423, 602)(424, 605)(425, 607)(426, 608)(427, 610)(428, 609)(429, 612)(430, 604)(431, 606)(432, 611)(433, 583)(434, 577)(435, 584)(436, 578)(437, 579)(438, 581)(439, 580)(440, 585)(441, 582)(442, 592)(443, 586)(444, 593)(445, 587)(446, 588)(447, 590)(448, 589)(449, 594)(450, 591)(451, 632)(452, 634)(453, 635)(454, 637)(455, 636)(456, 639)(457, 631)(458, 633)(459, 638)(460, 641)(461, 643)(462, 644)(463, 646)(464, 645)(465, 648)(466, 640)(467, 642)(468, 647)(469, 619)(470, 613)(471, 620)(472, 614)(473, 615)(474, 617)(475, 616)(476, 621)(477, 618)(478, 628)(479, 622)(480, 629)(481, 623)(482, 624)(483, 626)(484, 625)(485, 630)(486, 627)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.2737
Transitivity :: VT+
Graph::
	v = 27 e = 324 f = 243
	degree seq :: [ 24^27 ]

E28.2741 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 17>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 37>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (R * Y1)^2, (Y2 * Y3^-1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1, Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y3, (R * Y2 * Y1 * Y2 * Y1 * Y2)^2, (Y2 * Y1)^9 ]
Map:: polytopal non-degenerate
	R = (1, 163, 2, 164)(3, 165, 9, 171)(4, 166, 12, 174)(5, 167, 13, 175)(6, 168, 14, 176)(7, 169, 17, 179)(8, 170, 18, 180)(10, 172, 22, 184)(11, 173, 23, 185)(15, 177, 33, 195)(16, 178, 34, 196)(19, 181, 41, 203)(20, 182, 44, 206)(21, 183, 45, 207)(24, 186, 52, 214)(25, 187, 36, 198)(26, 188, 39, 201)(27, 189, 55, 217)(28, 190, 37, 199)(29, 191, 40, 202)(30, 192, 58, 220)(31, 193, 53, 215)(32, 194, 57, 219)(35, 197, 50, 212)(38, 200, 48, 210)(42, 204, 70, 232)(43, 205, 71, 233)(46, 208, 72, 234)(47, 209, 65, 227)(49, 211, 75, 237)(51, 213, 66, 228)(54, 216, 62, 224)(56, 218, 64, 226)(59, 221, 83, 245)(60, 222, 84, 246)(61, 223, 85, 247)(63, 225, 87, 249)(67, 229, 89, 251)(68, 230, 73, 235)(69, 231, 77, 239)(74, 236, 93, 255)(76, 238, 95, 257)(78, 240, 82, 244)(79, 241, 81, 243)(80, 242, 98, 260)(86, 248, 102, 264)(88, 250, 104, 266)(90, 252, 110, 272)(91, 253, 111, 273)(92, 254, 112, 274)(94, 256, 114, 276)(96, 258, 109, 271)(97, 259, 108, 270)(99, 261, 119, 281)(100, 262, 120, 282)(101, 263, 121, 283)(103, 265, 123, 285)(105, 267, 118, 280)(106, 268, 117, 279)(107, 269, 125, 287)(113, 275, 129, 291)(115, 277, 131, 293)(116, 278, 134, 296)(122, 284, 138, 300)(124, 286, 140, 302)(126, 288, 145, 307)(127, 289, 146, 308)(128, 290, 147, 309)(130, 292, 149, 311)(132, 294, 144, 306)(133, 295, 143, 305)(135, 297, 153, 315)(136, 298, 154, 316)(137, 299, 155, 317)(139, 301, 157, 319)(141, 303, 152, 314)(142, 304, 151, 313)(148, 310, 159, 321)(150, 312, 160, 322)(156, 318, 161, 323)(158, 320, 162, 324)(325, 487, 327, 489)(326, 488, 330, 492)(328, 490, 335, 497)(329, 491, 334, 496)(331, 493, 340, 502)(332, 494, 339, 501)(333, 495, 343, 505)(336, 498, 348, 510)(337, 499, 351, 513)(338, 500, 354, 516)(341, 503, 359, 521)(342, 504, 362, 524)(344, 506, 367, 529)(345, 507, 366, 528)(346, 508, 370, 532)(347, 509, 373, 535)(349, 511, 378, 540)(350, 512, 377, 539)(352, 514, 381, 543)(353, 515, 380, 542)(355, 517, 384, 546)(356, 518, 383, 545)(357, 519, 385, 547)(358, 520, 387, 549)(360, 522, 389, 551)(361, 523, 368, 530)(363, 525, 369, 531)(364, 526, 390, 552)(365, 527, 391, 553)(371, 533, 398, 560)(372, 534, 397, 559)(374, 536, 401, 563)(375, 537, 400, 562)(376, 538, 402, 564)(379, 541, 403, 565)(382, 544, 404, 566)(386, 548, 410, 572)(388, 550, 412, 574)(392, 554, 415, 577)(393, 555, 414, 576)(394, 556, 416, 578)(395, 557, 418, 580)(396, 558, 420, 582)(399, 561, 421, 583)(405, 567, 424, 586)(406, 568, 423, 585)(407, 569, 425, 587)(408, 570, 427, 589)(409, 571, 429, 591)(411, 573, 430, 592)(413, 575, 431, 593)(417, 579, 437, 599)(419, 581, 439, 601)(422, 584, 440, 602)(426, 588, 446, 608)(428, 590, 448, 610)(432, 594, 451, 613)(433, 595, 450, 612)(434, 596, 452, 614)(435, 597, 454, 616)(436, 598, 456, 618)(438, 600, 457, 619)(441, 603, 460, 622)(442, 604, 459, 621)(443, 605, 461, 623)(444, 606, 463, 625)(445, 607, 465, 627)(447, 609, 466, 628)(449, 611, 458, 620)(453, 615, 472, 634)(455, 617, 474, 636)(462, 624, 480, 642)(464, 626, 482, 644)(467, 629, 476, 638)(468, 630, 475, 637)(469, 631, 481, 643)(470, 632, 479, 641)(471, 633, 478, 640)(473, 635, 477, 639)(483, 645, 485, 647)(484, 646, 486, 648)
	L = (1, 328)(2, 331)(3, 334)(4, 329)(5, 325)(6, 339)(7, 332)(8, 326)(9, 344)(10, 335)(11, 327)(12, 349)(13, 352)(14, 355)(15, 340)(16, 330)(17, 360)(18, 363)(19, 366)(20, 345)(21, 333)(22, 371)(23, 374)(24, 377)(25, 350)(26, 336)(27, 380)(28, 353)(29, 337)(30, 383)(31, 356)(32, 338)(33, 386)(34, 376)(35, 368)(36, 361)(37, 341)(38, 390)(39, 364)(40, 342)(41, 392)(42, 367)(43, 343)(44, 389)(45, 362)(46, 397)(47, 372)(48, 346)(49, 400)(50, 375)(51, 347)(52, 388)(53, 378)(54, 348)(55, 357)(56, 381)(57, 351)(58, 405)(59, 384)(60, 354)(61, 403)(62, 379)(63, 412)(64, 358)(65, 359)(66, 369)(67, 414)(68, 393)(69, 365)(70, 417)(71, 396)(72, 419)(73, 398)(74, 370)(75, 394)(76, 401)(77, 373)(78, 387)(79, 410)(80, 423)(81, 406)(82, 382)(83, 426)(84, 409)(85, 428)(86, 385)(87, 407)(88, 402)(89, 432)(90, 415)(91, 391)(92, 421)(93, 399)(94, 439)(95, 395)(96, 418)(97, 437)(98, 441)(99, 424)(100, 404)(101, 430)(102, 411)(103, 448)(104, 408)(105, 427)(106, 446)(107, 450)(108, 433)(109, 413)(110, 453)(111, 436)(112, 455)(113, 416)(114, 434)(115, 420)(116, 459)(117, 442)(118, 422)(119, 462)(120, 445)(121, 464)(122, 425)(123, 443)(124, 429)(125, 467)(126, 451)(127, 431)(128, 457)(129, 438)(130, 474)(131, 435)(132, 454)(133, 472)(134, 475)(135, 460)(136, 440)(137, 466)(138, 447)(139, 482)(140, 444)(141, 463)(142, 480)(143, 468)(144, 449)(145, 483)(146, 471)(147, 484)(148, 452)(149, 469)(150, 456)(151, 476)(152, 458)(153, 485)(154, 479)(155, 486)(156, 461)(157, 477)(158, 465)(159, 473)(160, 470)(161, 481)(162, 478)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2742
Graph:: simple bipartite
	v = 162 e = 324 f = 108
	degree seq :: [ 4^162 ]

E28.2742 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 17>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 37>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^3, (Y3^-1 * Y1^-1)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y3^-1 * Y1^2 * Y3 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1^3, Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-2, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * Y3 * Y1 * Y2 * Y1^-1 * Y3 * Y1^-1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 163, 2, 164, 7, 169, 21, 183, 19, 181, 5, 167)(3, 165, 11, 173, 22, 184, 46, 208, 38, 200, 13, 175)(4, 166, 15, 177, 23, 185, 10, 172, 30, 192, 16, 178)(6, 168, 20, 182, 24, 186, 18, 180, 29, 191, 9, 171)(8, 170, 25, 187, 45, 207, 42, 204, 17, 179, 27, 189)(12, 174, 34, 196, 47, 209, 33, 195, 57, 219, 35, 197)(14, 176, 39, 201, 48, 210, 37, 199, 58, 220, 32, 194)(26, 188, 52, 214, 41, 203, 51, 213, 40, 202, 53, 215)(28, 190, 56, 218, 44, 206, 55, 217, 43, 205, 50, 212)(31, 193, 59, 221, 69, 231, 65, 227, 36, 198, 61, 223)(49, 211, 70, 232, 68, 230, 76, 238, 54, 216, 72, 234)(60, 222, 82, 244, 64, 226, 81, 243, 63, 225, 83, 245)(62, 224, 86, 248, 67, 229, 85, 247, 66, 228, 80, 242)(71, 233, 91, 253, 75, 237, 90, 252, 74, 236, 92, 254)(73, 235, 95, 257, 78, 240, 94, 256, 77, 239, 89, 251)(79, 241, 97, 259, 87, 249, 103, 265, 84, 246, 99, 261)(88, 250, 106, 268, 96, 258, 112, 274, 93, 255, 108, 270)(98, 260, 118, 280, 102, 264, 117, 279, 101, 263, 119, 281)(100, 262, 122, 284, 105, 267, 121, 283, 104, 266, 116, 278)(107, 269, 127, 289, 111, 273, 126, 288, 110, 272, 128, 290)(109, 271, 131, 293, 114, 276, 130, 292, 113, 275, 125, 287)(115, 277, 133, 295, 123, 285, 139, 301, 120, 282, 135, 297)(124, 286, 142, 304, 132, 294, 148, 310, 129, 291, 144, 306)(134, 296, 153, 315, 138, 300, 152, 314, 137, 299, 154, 316)(136, 298, 156, 318, 141, 303, 155, 317, 140, 302, 151, 313)(143, 305, 159, 321, 147, 309, 158, 320, 146, 308, 160, 322)(145, 307, 162, 324, 150, 312, 161, 323, 149, 311, 157, 319)(325, 487, 327, 489)(326, 488, 332, 494)(328, 490, 338, 500)(329, 491, 341, 503)(330, 492, 336, 498)(331, 493, 346, 508)(333, 495, 352, 514)(334, 496, 350, 512)(335, 497, 355, 517)(337, 499, 360, 522)(339, 501, 364, 526)(340, 502, 365, 527)(342, 504, 367, 529)(343, 505, 362, 524)(344, 506, 368, 530)(345, 507, 369, 531)(347, 509, 372, 534)(348, 510, 371, 533)(349, 511, 373, 535)(351, 513, 378, 540)(353, 515, 381, 543)(354, 516, 382, 544)(356, 518, 386, 548)(357, 519, 384, 546)(358, 520, 387, 549)(359, 521, 388, 550)(361, 523, 390, 552)(363, 525, 391, 553)(366, 528, 392, 554)(370, 532, 393, 555)(374, 536, 397, 559)(375, 537, 395, 557)(376, 538, 398, 560)(377, 539, 399, 561)(379, 541, 401, 563)(380, 542, 402, 564)(383, 545, 403, 565)(385, 547, 408, 570)(389, 551, 411, 573)(394, 556, 412, 574)(396, 558, 417, 579)(400, 562, 420, 582)(404, 566, 424, 586)(405, 567, 422, 584)(406, 568, 425, 587)(407, 569, 426, 588)(409, 571, 428, 590)(410, 572, 429, 591)(413, 575, 433, 595)(414, 576, 431, 593)(415, 577, 434, 596)(416, 578, 435, 597)(418, 580, 437, 599)(419, 581, 438, 600)(421, 583, 439, 601)(423, 585, 444, 606)(427, 589, 447, 609)(430, 592, 448, 610)(432, 594, 453, 615)(436, 598, 456, 618)(440, 602, 460, 622)(441, 603, 458, 620)(442, 604, 461, 623)(443, 605, 462, 624)(445, 607, 464, 626)(446, 608, 465, 627)(449, 611, 469, 631)(450, 612, 467, 629)(451, 613, 470, 632)(452, 614, 471, 633)(454, 616, 473, 635)(455, 617, 474, 636)(457, 619, 472, 634)(459, 621, 466, 628)(463, 625, 468, 630)(475, 637, 484, 646)(476, 638, 486, 648)(477, 639, 481, 643)(478, 640, 485, 647)(479, 641, 482, 644)(480, 642, 483, 645)
	L = (1, 328)(2, 333)(3, 336)(4, 330)(5, 342)(6, 325)(7, 347)(8, 350)(9, 334)(10, 326)(11, 356)(12, 338)(13, 361)(14, 327)(15, 329)(16, 345)(17, 364)(18, 339)(19, 354)(20, 340)(21, 344)(22, 371)(23, 348)(24, 331)(25, 374)(26, 352)(27, 379)(28, 332)(29, 343)(30, 353)(31, 384)(32, 357)(33, 335)(34, 337)(35, 370)(36, 387)(37, 358)(38, 381)(39, 359)(40, 367)(41, 368)(42, 380)(43, 341)(44, 369)(45, 365)(46, 363)(47, 372)(48, 346)(49, 395)(50, 375)(51, 349)(52, 351)(53, 366)(54, 398)(55, 376)(56, 377)(57, 382)(58, 362)(59, 404)(60, 386)(61, 409)(62, 355)(63, 390)(64, 391)(65, 410)(66, 360)(67, 393)(68, 399)(69, 388)(70, 413)(71, 397)(72, 418)(73, 373)(74, 401)(75, 402)(76, 419)(77, 378)(78, 392)(79, 422)(80, 405)(81, 383)(82, 385)(83, 389)(84, 425)(85, 406)(86, 407)(87, 426)(88, 431)(89, 414)(90, 394)(91, 396)(92, 400)(93, 434)(94, 415)(95, 416)(96, 435)(97, 440)(98, 424)(99, 445)(100, 403)(101, 428)(102, 429)(103, 446)(104, 408)(105, 411)(106, 449)(107, 433)(108, 454)(109, 412)(110, 437)(111, 438)(112, 455)(113, 417)(114, 420)(115, 458)(116, 441)(117, 421)(118, 423)(119, 427)(120, 461)(121, 442)(122, 443)(123, 462)(124, 467)(125, 450)(126, 430)(127, 432)(128, 436)(129, 470)(130, 451)(131, 452)(132, 471)(133, 475)(134, 460)(135, 479)(136, 439)(137, 464)(138, 465)(139, 480)(140, 444)(141, 447)(142, 481)(143, 469)(144, 485)(145, 448)(146, 473)(147, 474)(148, 486)(149, 453)(150, 456)(151, 476)(152, 457)(153, 459)(154, 463)(155, 477)(156, 478)(157, 482)(158, 466)(159, 468)(160, 472)(161, 483)(162, 484)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2741
Graph:: simple bipartite
	v = 108 e = 324 f = 162
	degree seq :: [ 4^81, 12^27 ]

E28.2743 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: halfedge^2
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 19>)
Aut   = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y2)^3, Y1 * Y3 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3, (Y2 * Y3 * Y1 * Y3)^3, (Y3 * Y1 * Y2 * Y1)^3, Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1, (Y3 * Y1)^9, (Y1 * Y2 * Y3)^6 ]
Map:: polytopal non-degenerate
	R = (1, 164, 2, 163)(3, 169, 7, 165)(4, 171, 9, 166)(5, 173, 11, 167)(6, 175, 13, 168)(8, 179, 17, 170)(10, 183, 21, 172)(12, 186, 24, 174)(14, 190, 28, 176)(15, 191, 29, 177)(16, 193, 31, 178)(18, 197, 35, 180)(19, 198, 36, 181)(20, 200, 38, 182)(22, 204, 42, 184)(23, 206, 44, 185)(25, 210, 48, 187)(26, 211, 49, 188)(27, 213, 51, 189)(30, 209, 47, 192)(32, 222, 60, 194)(33, 223, 61, 195)(34, 205, 43, 196)(37, 230, 68, 199)(39, 215, 53, 201)(40, 214, 52, 202)(41, 234, 72, 203)(45, 241, 79, 207)(46, 242, 80, 208)(50, 249, 87, 212)(54, 253, 91, 216)(55, 255, 93, 217)(56, 256, 94, 218)(57, 258, 96, 219)(58, 248, 86, 220)(59, 260, 98, 221)(62, 266, 104, 224)(63, 262, 100, 225)(64, 261, 99, 226)(65, 268, 106, 227)(66, 269, 107, 228)(67, 239, 77, 229)(69, 267, 105, 231)(70, 273, 111, 232)(71, 272, 110, 233)(73, 275, 113, 235)(74, 276, 114, 236)(75, 277, 115, 237)(76, 279, 117, 238)(78, 281, 119, 240)(81, 287, 125, 243)(82, 283, 121, 244)(83, 282, 120, 245)(84, 289, 127, 246)(85, 290, 128, 247)(88, 288, 126, 250)(89, 294, 132, 251)(90, 293, 131, 252)(92, 296, 134, 254)(95, 285, 123, 257)(97, 301, 139, 259)(101, 284, 122, 263)(102, 278, 116, 264)(103, 299, 137, 265)(108, 306, 144, 270)(109, 292, 130, 271)(112, 304, 142, 274)(118, 311, 149, 280)(124, 309, 147, 286)(129, 316, 154, 291)(133, 314, 152, 295)(135, 317, 155, 297)(136, 318, 156, 298)(138, 319, 157, 300)(140, 315, 153, 302)(141, 320, 158, 303)(143, 312, 150, 305)(145, 321, 159, 307)(146, 322, 160, 308)(148, 323, 161, 310)(151, 324, 162, 313)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 18)(9, 19)(11, 22)(12, 25)(13, 26)(16, 32)(17, 33)(20, 39)(21, 40)(23, 45)(24, 46)(27, 52)(28, 53)(29, 55)(30, 57)(31, 58)(34, 63)(35, 64)(36, 66)(37, 69)(38, 70)(41, 73)(42, 74)(43, 76)(44, 77)(47, 82)(48, 83)(49, 85)(50, 88)(51, 89)(54, 92)(56, 95)(59, 99)(60, 100)(61, 102)(62, 105)(65, 84)(67, 108)(68, 109)(71, 96)(72, 112)(75, 116)(78, 120)(79, 121)(80, 123)(81, 126)(86, 129)(87, 130)(90, 117)(91, 133)(93, 135)(94, 137)(97, 125)(98, 140)(101, 142)(103, 143)(104, 118)(106, 134)(107, 136)(110, 138)(111, 141)(113, 127)(114, 145)(115, 147)(119, 150)(122, 152)(124, 153)(128, 146)(131, 148)(132, 151)(139, 149)(144, 157)(154, 161)(155, 159)(156, 162)(158, 160)(163, 166)(164, 168)(165, 170)(167, 174)(169, 178)(171, 182)(172, 180)(173, 185)(175, 189)(176, 187)(177, 192)(179, 196)(181, 199)(183, 203)(184, 205)(186, 209)(188, 212)(190, 216)(191, 218)(193, 221)(194, 219)(195, 224)(197, 227)(198, 229)(200, 217)(201, 231)(202, 233)(204, 237)(206, 240)(207, 238)(208, 243)(210, 246)(211, 248)(213, 236)(214, 250)(215, 252)(220, 259)(222, 263)(223, 265)(225, 267)(226, 245)(228, 268)(230, 272)(232, 257)(234, 264)(235, 258)(239, 280)(241, 284)(242, 286)(244, 288)(247, 289)(249, 293)(251, 278)(253, 285)(254, 279)(255, 298)(256, 300)(260, 297)(261, 287)(262, 303)(266, 282)(269, 302)(270, 296)(271, 299)(273, 304)(274, 305)(275, 291)(276, 308)(277, 310)(281, 307)(283, 313)(290, 312)(292, 309)(294, 314)(295, 315)(301, 320)(306, 316)(311, 324)(317, 323)(318, 322)(319, 321)
	local type(s) :: { ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E28.2744
Transitivity :: VT+ AT
Graph:: simple
	v = 81 e = 162 f = 27
	degree seq :: [ 4^81 ]

E28.2744 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: halfedge^2
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 19>)
Aut   = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, (Y2 * Y3 * Y1^-1)^2, (Y2 * Y3)^3, Y1^6, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^3, Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^2, Y1 * Y2 * Y1^-1 * Y3 * Y2 * Y3 * Y1^-1 * Y3, Y3 * Y1^-1 * Y2 * Y1^2 * Y3 * Y1^-1 * Y2 * Y1^-2, Y1^-2 * Y3 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 164, 2, 168, 6, 180, 18, 179, 17, 167, 5, 163)(3, 171, 9, 189, 27, 233, 71, 196, 34, 173, 11, 165)(4, 174, 12, 197, 35, 231, 69, 203, 41, 176, 14, 166)(7, 183, 21, 219, 57, 190, 28, 226, 64, 185, 23, 169)(8, 186, 24, 227, 65, 276, 114, 232, 70, 188, 26, 170)(10, 192, 30, 239, 77, 291, 129, 230, 68, 187, 25, 172)(13, 200, 38, 251, 89, 297, 135, 252, 90, 201, 39, 175)(15, 204, 42, 255, 93, 304, 142, 257, 95, 205, 43, 177)(16, 206, 44, 253, 91, 202, 40, 240, 78, 208, 46, 178)(19, 213, 51, 267, 105, 220, 58, 273, 111, 215, 53, 181)(20, 216, 54, 274, 112, 312, 150, 277, 115, 218, 56, 182)(22, 222, 60, 282, 120, 319, 157, 275, 113, 217, 55, 184)(29, 237, 75, 269, 107, 315, 153, 299, 137, 238, 76, 191)(31, 242, 80, 271, 109, 228, 66, 285, 123, 225, 63, 193)(32, 211, 49, 263, 101, 307, 145, 268, 106, 243, 81, 194)(33, 244, 82, 272, 110, 223, 61, 198, 36, 245, 83, 195)(37, 250, 88, 303, 141, 313, 151, 266, 104, 212, 50, 199)(45, 258, 96, 305, 143, 318, 156, 288, 126, 235, 73, 207)(47, 260, 98, 306, 144, 308, 146, 284, 122, 224, 62, 209)(48, 229, 67, 290, 128, 259, 97, 294, 132, 262, 100, 210)(52, 270, 108, 247, 85, 298, 136, 311, 149, 265, 103, 214)(59, 280, 118, 309, 147, 300, 138, 256, 94, 281, 119, 221)(72, 289, 127, 254, 92, 286, 124, 320, 158, 295, 133, 234)(74, 283, 121, 314, 152, 324, 162, 322, 160, 296, 134, 236)(79, 279, 117, 316, 154, 323, 161, 321, 159, 293, 131, 241)(84, 292, 130, 317, 155, 302, 140, 249, 87, 278, 116, 246)(86, 301, 139, 261, 99, 264, 102, 310, 148, 287, 125, 248)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 28)(10, 31)(11, 32)(12, 36)(14, 29)(16, 45)(17, 47)(18, 49)(20, 55)(21, 58)(22, 61)(23, 62)(24, 66)(26, 59)(27, 72)(30, 78)(33, 54)(34, 84)(35, 86)(37, 63)(38, 82)(39, 79)(40, 74)(41, 60)(42, 71)(43, 53)(44, 80)(46, 94)(48, 99)(50, 103)(51, 106)(52, 109)(56, 107)(57, 116)(64, 124)(65, 126)(67, 110)(68, 121)(69, 117)(70, 108)(73, 134)(75, 135)(76, 125)(77, 118)(81, 133)(83, 102)(85, 138)(87, 122)(88, 129)(89, 132)(90, 112)(91, 136)(92, 105)(93, 140)(95, 127)(96, 123)(97, 131)(98, 142)(100, 137)(101, 146)(104, 147)(111, 155)(113, 154)(114, 152)(115, 148)(119, 156)(120, 153)(128, 157)(130, 145)(139, 159)(141, 160)(143, 151)(144, 158)(149, 162)(150, 161)(163, 166)(164, 170)(165, 172)(167, 178)(168, 182)(169, 184)(171, 191)(173, 195)(174, 199)(175, 193)(176, 202)(177, 200)(179, 210)(180, 212)(181, 214)(183, 221)(185, 225)(186, 229)(187, 223)(188, 231)(189, 235)(190, 236)(192, 241)(194, 242)(196, 247)(197, 249)(198, 224)(201, 219)(203, 254)(204, 256)(205, 228)(206, 216)(207, 244)(208, 259)(209, 258)(211, 264)(213, 269)(215, 272)(217, 271)(218, 276)(220, 279)(222, 283)(226, 287)(227, 289)(230, 267)(232, 292)(233, 293)(234, 294)(237, 298)(238, 291)(239, 284)(240, 278)(243, 297)(245, 265)(246, 274)(248, 280)(250, 286)(251, 296)(252, 300)(253, 295)(255, 301)(257, 282)(260, 299)(261, 285)(262, 303)(263, 309)(266, 312)(268, 314)(270, 316)(273, 318)(275, 307)(277, 320)(281, 319)(288, 315)(290, 317)(302, 313)(304, 322)(305, 321)(306, 311)(308, 323)(310, 324)
	local type(s) :: { ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2743
Transitivity :: VT+ AT
Graph:: simple
	v = 27 e = 162 f = 81
	degree seq :: [ 12^27 ]

E28.2745 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: edge^2
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 19>)
Aut   = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1)^3, Y3 * Y2 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2, Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2 * Y3 * Y1, (Y3 * Y1 * Y3 * Y2)^3, Y3 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2, (Y1 * Y3 * Y2)^6 ]
Map:: polytopal
	R = (1, 163, 4, 166)(2, 164, 6, 168)(3, 165, 8, 170)(5, 167, 12, 174)(7, 169, 15, 177)(9, 171, 19, 181)(10, 172, 21, 183)(11, 173, 22, 184)(13, 175, 26, 188)(14, 176, 28, 190)(16, 178, 32, 194)(17, 179, 34, 196)(18, 180, 36, 198)(20, 182, 39, 201)(23, 185, 45, 207)(24, 186, 47, 209)(25, 187, 49, 211)(27, 189, 52, 214)(29, 191, 56, 218)(30, 192, 58, 220)(31, 193, 60, 222)(33, 195, 63, 225)(35, 197, 65, 227)(37, 199, 67, 229)(38, 200, 69, 231)(40, 202, 72, 234)(41, 203, 73, 235)(42, 204, 75, 237)(43, 205, 77, 239)(44, 206, 79, 241)(46, 208, 82, 244)(48, 210, 84, 246)(50, 212, 86, 248)(51, 213, 88, 250)(53, 215, 91, 253)(54, 216, 92, 254)(55, 217, 93, 255)(57, 219, 95, 257)(59, 221, 78, 240)(61, 223, 98, 260)(62, 224, 100, 262)(64, 226, 102, 264)(66, 228, 104, 266)(68, 230, 107, 269)(70, 232, 110, 272)(71, 233, 111, 273)(74, 236, 114, 276)(76, 238, 116, 278)(80, 242, 119, 281)(81, 243, 121, 283)(83, 245, 123, 285)(85, 247, 125, 287)(87, 249, 128, 290)(89, 251, 131, 293)(90, 252, 132, 294)(94, 256, 124, 286)(96, 258, 130, 292)(97, 259, 135, 297)(99, 261, 136, 298)(101, 263, 137, 299)(103, 265, 115, 277)(105, 267, 139, 301)(106, 268, 140, 302)(108, 270, 141, 303)(109, 271, 117, 279)(112, 274, 143, 305)(113, 275, 144, 306)(118, 280, 145, 307)(120, 282, 146, 308)(122, 284, 147, 309)(126, 288, 149, 311)(127, 289, 150, 312)(129, 291, 151, 313)(133, 295, 153, 315)(134, 296, 154, 316)(138, 300, 155, 317)(142, 304, 152, 314)(148, 310, 159, 321)(156, 318, 162, 324)(157, 319, 161, 323)(158, 320, 160, 322)(325, 326)(327, 331)(328, 333)(329, 335)(330, 337)(332, 340)(334, 344)(336, 347)(338, 351)(339, 353)(341, 357)(342, 359)(343, 361)(345, 364)(346, 366)(348, 370)(349, 372)(350, 374)(352, 377)(354, 381)(355, 383)(356, 385)(358, 388)(360, 390)(362, 392)(363, 387)(365, 380)(367, 400)(368, 402)(369, 404)(371, 407)(373, 409)(375, 411)(376, 406)(378, 399)(379, 408)(382, 420)(384, 421)(386, 423)(389, 398)(391, 429)(393, 424)(394, 433)(395, 418)(396, 436)(397, 437)(401, 441)(403, 442)(405, 444)(410, 450)(412, 445)(413, 454)(414, 439)(415, 457)(416, 458)(417, 453)(419, 440)(422, 451)(425, 447)(426, 446)(427, 448)(428, 452)(430, 443)(431, 449)(432, 438)(434, 466)(435, 459)(455, 476)(456, 469)(460, 475)(461, 480)(462, 478)(463, 481)(464, 479)(465, 470)(467, 482)(468, 472)(471, 484)(473, 485)(474, 483)(477, 486)(487, 489)(488, 491)(490, 496)(492, 500)(493, 497)(494, 503)(495, 504)(498, 510)(499, 511)(501, 516)(502, 517)(505, 524)(506, 521)(507, 527)(508, 529)(509, 530)(512, 537)(513, 534)(514, 540)(515, 541)(518, 548)(519, 545)(520, 536)(522, 535)(523, 533)(525, 556)(526, 557)(528, 560)(531, 567)(532, 564)(538, 575)(539, 576)(542, 580)(543, 570)(544, 566)(546, 579)(547, 563)(549, 587)(550, 573)(551, 562)(552, 589)(553, 592)(554, 569)(555, 594)(558, 577)(559, 591)(561, 601)(565, 600)(568, 608)(571, 610)(572, 613)(574, 615)(578, 612)(581, 619)(582, 606)(583, 607)(584, 620)(585, 603)(586, 604)(588, 616)(590, 624)(593, 617)(595, 609)(596, 614)(597, 623)(598, 602)(599, 605)(611, 634)(618, 633)(621, 641)(622, 639)(625, 644)(626, 642)(627, 643)(628, 640)(629, 632)(630, 638)(631, 645)(635, 648)(636, 646)(637, 647)
	L = (1, 325)(2, 326)(3, 327)(4, 328)(5, 329)(6, 330)(7, 331)(8, 332)(9, 333)(10, 334)(11, 335)(12, 336)(13, 337)(14, 338)(15, 339)(16, 340)(17, 341)(18, 342)(19, 343)(20, 344)(21, 345)(22, 346)(23, 347)(24, 348)(25, 349)(26, 350)(27, 351)(28, 352)(29, 353)(30, 354)(31, 355)(32, 356)(33, 357)(34, 358)(35, 359)(36, 360)(37, 361)(38, 362)(39, 363)(40, 364)(41, 365)(42, 366)(43, 367)(44, 368)(45, 369)(46, 370)(47, 371)(48, 372)(49, 373)(50, 374)(51, 375)(52, 376)(53, 377)(54, 378)(55, 379)(56, 380)(57, 381)(58, 382)(59, 383)(60, 384)(61, 385)(62, 386)(63, 387)(64, 388)(65, 389)(66, 390)(67, 391)(68, 392)(69, 393)(70, 394)(71, 395)(72, 396)(73, 397)(74, 398)(75, 399)(76, 400)(77, 401)(78, 402)(79, 403)(80, 404)(81, 405)(82, 406)(83, 407)(84, 408)(85, 409)(86, 410)(87, 411)(88, 412)(89, 413)(90, 414)(91, 415)(92, 416)(93, 417)(94, 418)(95, 419)(96, 420)(97, 421)(98, 422)(99, 423)(100, 424)(101, 425)(102, 426)(103, 427)(104, 428)(105, 429)(106, 430)(107, 431)(108, 432)(109, 433)(110, 434)(111, 435)(112, 436)(113, 437)(114, 438)(115, 439)(116, 440)(117, 441)(118, 442)(119, 443)(120, 444)(121, 445)(122, 446)(123, 447)(124, 448)(125, 449)(126, 450)(127, 451)(128, 452)(129, 453)(130, 454)(131, 455)(132, 456)(133, 457)(134, 458)(135, 459)(136, 460)(137, 461)(138, 462)(139, 463)(140, 464)(141, 465)(142, 466)(143, 467)(144, 468)(145, 469)(146, 470)(147, 471)(148, 472)(149, 473)(150, 474)(151, 475)(152, 476)(153, 477)(154, 478)(155, 479)(156, 480)(157, 481)(158, 482)(159, 483)(160, 484)(161, 485)(162, 486)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 24, 24 ), ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E28.2748
Graph:: simple bipartite
	v = 243 e = 324 f = 27
	degree seq :: [ 2^162, 4^81 ]

E28.2746 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: edge^2
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 19>)
Aut   = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y2 * Y1)^3, (Y1 * Y3^-1 * Y2)^2, Y3^6, Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^2, Y2 * Y3^2 * Y1 * Y3 * Y2 * Y1 * Y3, Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y3, Y3^2 * Y2 * Y1 * Y3^2 * Y1 * Y3^2 * Y2 ]
Map:: polytopal
	R = (1, 163, 4, 166, 14, 176, 41, 203, 17, 179, 5, 167)(2, 164, 7, 169, 23, 185, 63, 225, 26, 188, 8, 170)(3, 165, 10, 172, 30, 192, 76, 238, 33, 195, 11, 173)(6, 168, 19, 181, 52, 214, 106, 268, 55, 217, 20, 182)(9, 171, 27, 189, 71, 233, 113, 275, 72, 234, 28, 190)(12, 174, 34, 196, 84, 246, 137, 299, 86, 248, 35, 197)(13, 175, 37, 199, 53, 215, 29, 191, 73, 235, 38, 200)(15, 177, 43, 205, 66, 228, 24, 186, 65, 227, 44, 206)(16, 178, 45, 207, 96, 258, 143, 305, 97, 259, 46, 208)(18, 180, 49, 211, 101, 263, 83, 245, 102, 264, 50, 212)(21, 183, 56, 218, 114, 276, 151, 313, 116, 278, 57, 219)(22, 184, 59, 221, 31, 193, 51, 213, 103, 265, 60, 222)(25, 187, 67, 229, 126, 288, 157, 319, 127, 289, 68, 230)(32, 194, 78, 240, 132, 294, 160, 322, 133, 295, 79, 241)(36, 198, 70, 232, 130, 292, 158, 320, 139, 301, 87, 249)(39, 201, 77, 239, 111, 273, 149, 311, 141, 303, 89, 251)(40, 202, 91, 253, 128, 290, 88, 250, 140, 302, 92, 254)(42, 204, 93, 255, 142, 304, 159, 321, 131, 293, 74, 236)(47, 209, 82, 244, 136, 298, 94, 256, 105, 267, 99, 261)(48, 210, 100, 262, 144, 306, 153, 315, 117, 279, 58, 220)(54, 216, 108, 270, 146, 308, 162, 324, 147, 309, 109, 271)(61, 223, 107, 269, 81, 243, 135, 297, 155, 317, 119, 281)(62, 224, 121, 283, 98, 260, 118, 280, 154, 316, 122, 284)(64, 226, 123, 285, 156, 318, 161, 323, 145, 307, 104, 266)(69, 231, 112, 274, 150, 312, 124, 286, 75, 237, 129, 291)(80, 242, 125, 287, 152, 314, 115, 277, 90, 252, 134, 296)(85, 247, 120, 282, 148, 310, 110, 272, 95, 257, 138, 300)(325, 326)(327, 333)(328, 336)(329, 339)(330, 342)(331, 345)(332, 348)(334, 349)(335, 355)(337, 360)(338, 363)(340, 343)(341, 371)(344, 377)(346, 382)(347, 385)(350, 393)(351, 378)(352, 384)(353, 388)(354, 398)(356, 373)(357, 404)(358, 406)(359, 387)(361, 409)(362, 374)(364, 414)(365, 381)(366, 375)(367, 401)(368, 418)(369, 419)(370, 407)(372, 417)(376, 428)(379, 434)(380, 436)(383, 439)(386, 444)(389, 431)(390, 448)(391, 449)(392, 437)(394, 447)(395, 441)(396, 452)(397, 446)(399, 429)(400, 433)(402, 442)(403, 430)(405, 435)(408, 453)(410, 459)(411, 425)(412, 432)(413, 461)(415, 450)(416, 427)(420, 445)(421, 454)(422, 426)(423, 438)(424, 451)(440, 473)(443, 475)(455, 481)(456, 472)(457, 480)(458, 470)(460, 479)(462, 482)(463, 484)(464, 483)(465, 474)(466, 471)(467, 469)(468, 476)(477, 486)(478, 485)(487, 489)(488, 492)(490, 499)(491, 502)(493, 508)(494, 511)(495, 504)(496, 515)(497, 518)(498, 514)(500, 526)(501, 528)(503, 534)(505, 537)(506, 540)(507, 536)(509, 548)(510, 550)(512, 556)(513, 551)(516, 561)(517, 563)(519, 567)(520, 569)(521, 571)(522, 546)(523, 574)(524, 544)(525, 573)(527, 564)(529, 535)(530, 581)(531, 562)(532, 578)(533, 584)(538, 591)(539, 593)(541, 597)(542, 599)(543, 601)(545, 604)(547, 603)(549, 594)(552, 611)(553, 592)(554, 608)(555, 614)(557, 606)(558, 609)(559, 598)(560, 590)(565, 610)(566, 596)(568, 589)(570, 617)(572, 620)(575, 612)(576, 587)(577, 619)(579, 588)(580, 595)(582, 605)(583, 615)(585, 613)(586, 629)(600, 631)(602, 634)(607, 633)(616, 643)(618, 639)(621, 646)(622, 644)(623, 642)(624, 645)(625, 632)(626, 641)(627, 640)(628, 637)(630, 636)(635, 648)(638, 647)
	L = (1, 325)(2, 326)(3, 327)(4, 328)(5, 329)(6, 330)(7, 331)(8, 332)(9, 333)(10, 334)(11, 335)(12, 336)(13, 337)(14, 338)(15, 339)(16, 340)(17, 341)(18, 342)(19, 343)(20, 344)(21, 345)(22, 346)(23, 347)(24, 348)(25, 349)(26, 350)(27, 351)(28, 352)(29, 353)(30, 354)(31, 355)(32, 356)(33, 357)(34, 358)(35, 359)(36, 360)(37, 361)(38, 362)(39, 363)(40, 364)(41, 365)(42, 366)(43, 367)(44, 368)(45, 369)(46, 370)(47, 371)(48, 372)(49, 373)(50, 374)(51, 375)(52, 376)(53, 377)(54, 378)(55, 379)(56, 380)(57, 381)(58, 382)(59, 383)(60, 384)(61, 385)(62, 386)(63, 387)(64, 388)(65, 389)(66, 390)(67, 391)(68, 392)(69, 393)(70, 394)(71, 395)(72, 396)(73, 397)(74, 398)(75, 399)(76, 400)(77, 401)(78, 402)(79, 403)(80, 404)(81, 405)(82, 406)(83, 407)(84, 408)(85, 409)(86, 410)(87, 411)(88, 412)(89, 413)(90, 414)(91, 415)(92, 416)(93, 417)(94, 418)(95, 419)(96, 420)(97, 421)(98, 422)(99, 423)(100, 424)(101, 425)(102, 426)(103, 427)(104, 428)(105, 429)(106, 430)(107, 431)(108, 432)(109, 433)(110, 434)(111, 435)(112, 436)(113, 437)(114, 438)(115, 439)(116, 440)(117, 441)(118, 442)(119, 443)(120, 444)(121, 445)(122, 446)(123, 447)(124, 448)(125, 449)(126, 450)(127, 451)(128, 452)(129, 453)(130, 454)(131, 455)(132, 456)(133, 457)(134, 458)(135, 459)(136, 460)(137, 461)(138, 462)(139, 463)(140, 464)(141, 465)(142, 466)(143, 467)(144, 468)(145, 469)(146, 470)(147, 471)(148, 472)(149, 473)(150, 474)(151, 475)(152, 476)(153, 477)(154, 478)(155, 479)(156, 480)(157, 481)(158, 482)(159, 483)(160, 484)(161, 485)(162, 486)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 8, 8 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2747
Graph:: simple bipartite
	v = 189 e = 324 f = 81
	degree seq :: [ 2^162, 12^27 ]

E28.2747 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 6})
Quotient :: loop^2
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 19>)
Aut   = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1)^3, Y3 * Y2 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2, Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2 * Y3 * Y1, (Y3 * Y1 * Y3 * Y2)^3, Y3 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2, (Y1 * Y3 * Y2)^6 ]
Map::
	R = (1, 163, 325, 487, 4, 166, 328, 490)(2, 164, 326, 488, 6, 168, 330, 492)(3, 165, 327, 489, 8, 170, 332, 494)(5, 167, 329, 491, 12, 174, 336, 498)(7, 169, 331, 493, 15, 177, 339, 501)(9, 171, 333, 495, 19, 181, 343, 505)(10, 172, 334, 496, 21, 183, 345, 507)(11, 173, 335, 497, 22, 184, 346, 508)(13, 175, 337, 499, 26, 188, 350, 512)(14, 176, 338, 500, 28, 190, 352, 514)(16, 178, 340, 502, 32, 194, 356, 518)(17, 179, 341, 503, 34, 196, 358, 520)(18, 180, 342, 504, 36, 198, 360, 522)(20, 182, 344, 506, 39, 201, 363, 525)(23, 185, 347, 509, 45, 207, 369, 531)(24, 186, 348, 510, 47, 209, 371, 533)(25, 187, 349, 511, 49, 211, 373, 535)(27, 189, 351, 513, 52, 214, 376, 538)(29, 191, 353, 515, 56, 218, 380, 542)(30, 192, 354, 516, 58, 220, 382, 544)(31, 193, 355, 517, 60, 222, 384, 546)(33, 195, 357, 519, 63, 225, 387, 549)(35, 197, 359, 521, 65, 227, 389, 551)(37, 199, 361, 523, 67, 229, 391, 553)(38, 200, 362, 524, 69, 231, 393, 555)(40, 202, 364, 526, 72, 234, 396, 558)(41, 203, 365, 527, 73, 235, 397, 559)(42, 204, 366, 528, 75, 237, 399, 561)(43, 205, 367, 529, 77, 239, 401, 563)(44, 206, 368, 530, 79, 241, 403, 565)(46, 208, 370, 532, 82, 244, 406, 568)(48, 210, 372, 534, 84, 246, 408, 570)(50, 212, 374, 536, 86, 248, 410, 572)(51, 213, 375, 537, 88, 250, 412, 574)(53, 215, 377, 539, 91, 253, 415, 577)(54, 216, 378, 540, 92, 254, 416, 578)(55, 217, 379, 541, 93, 255, 417, 579)(57, 219, 381, 543, 95, 257, 419, 581)(59, 221, 383, 545, 78, 240, 402, 564)(61, 223, 385, 547, 98, 260, 422, 584)(62, 224, 386, 548, 100, 262, 424, 586)(64, 226, 388, 550, 102, 264, 426, 588)(66, 228, 390, 552, 104, 266, 428, 590)(68, 230, 392, 554, 107, 269, 431, 593)(70, 232, 394, 556, 110, 272, 434, 596)(71, 233, 395, 557, 111, 273, 435, 597)(74, 236, 398, 560, 114, 276, 438, 600)(76, 238, 400, 562, 116, 278, 440, 602)(80, 242, 404, 566, 119, 281, 443, 605)(81, 243, 405, 567, 121, 283, 445, 607)(83, 245, 407, 569, 123, 285, 447, 609)(85, 247, 409, 571, 125, 287, 449, 611)(87, 249, 411, 573, 128, 290, 452, 614)(89, 251, 413, 575, 131, 293, 455, 617)(90, 252, 414, 576, 132, 294, 456, 618)(94, 256, 418, 580, 124, 286, 448, 610)(96, 258, 420, 582, 130, 292, 454, 616)(97, 259, 421, 583, 135, 297, 459, 621)(99, 261, 423, 585, 136, 298, 460, 622)(101, 263, 425, 587, 137, 299, 461, 623)(103, 265, 427, 589, 115, 277, 439, 601)(105, 267, 429, 591, 139, 301, 463, 625)(106, 268, 430, 592, 140, 302, 464, 626)(108, 270, 432, 594, 141, 303, 465, 627)(109, 271, 433, 595, 117, 279, 441, 603)(112, 274, 436, 598, 143, 305, 467, 629)(113, 275, 437, 599, 144, 306, 468, 630)(118, 280, 442, 604, 145, 307, 469, 631)(120, 282, 444, 606, 146, 308, 470, 632)(122, 284, 446, 608, 147, 309, 471, 633)(126, 288, 450, 612, 149, 311, 473, 635)(127, 289, 451, 613, 150, 312, 474, 636)(129, 291, 453, 615, 151, 313, 475, 637)(133, 295, 457, 619, 153, 315, 477, 639)(134, 296, 458, 620, 154, 316, 478, 640)(138, 300, 462, 624, 155, 317, 479, 641)(142, 304, 466, 628, 152, 314, 476, 638)(148, 310, 472, 634, 159, 321, 483, 645)(156, 318, 480, 642, 162, 324, 486, 648)(157, 319, 481, 643, 161, 323, 485, 647)(158, 320, 482, 644, 160, 322, 484, 646)
	L = (1, 164)(2, 163)(3, 169)(4, 171)(5, 173)(6, 175)(7, 165)(8, 178)(9, 166)(10, 182)(11, 167)(12, 185)(13, 168)(14, 189)(15, 191)(16, 170)(17, 195)(18, 197)(19, 199)(20, 172)(21, 202)(22, 204)(23, 174)(24, 208)(25, 210)(26, 212)(27, 176)(28, 215)(29, 177)(30, 219)(31, 221)(32, 223)(33, 179)(34, 226)(35, 180)(36, 228)(37, 181)(38, 230)(39, 225)(40, 183)(41, 218)(42, 184)(43, 238)(44, 240)(45, 242)(46, 186)(47, 245)(48, 187)(49, 247)(50, 188)(51, 249)(52, 244)(53, 190)(54, 237)(55, 246)(56, 203)(57, 192)(58, 258)(59, 193)(60, 259)(61, 194)(62, 261)(63, 201)(64, 196)(65, 236)(66, 198)(67, 267)(68, 200)(69, 262)(70, 271)(71, 256)(72, 274)(73, 275)(74, 227)(75, 216)(76, 205)(77, 279)(78, 206)(79, 280)(80, 207)(81, 282)(82, 214)(83, 209)(84, 217)(85, 211)(86, 288)(87, 213)(88, 283)(89, 292)(90, 277)(91, 295)(92, 296)(93, 291)(94, 233)(95, 278)(96, 220)(97, 222)(98, 289)(99, 224)(100, 231)(101, 285)(102, 284)(103, 286)(104, 290)(105, 229)(106, 281)(107, 287)(108, 276)(109, 232)(110, 304)(111, 297)(112, 234)(113, 235)(114, 270)(115, 252)(116, 257)(117, 239)(118, 241)(119, 268)(120, 243)(121, 250)(122, 264)(123, 263)(124, 265)(125, 269)(126, 248)(127, 260)(128, 266)(129, 255)(130, 251)(131, 314)(132, 307)(133, 253)(134, 254)(135, 273)(136, 313)(137, 318)(138, 316)(139, 319)(140, 317)(141, 308)(142, 272)(143, 320)(144, 310)(145, 294)(146, 303)(147, 322)(148, 306)(149, 323)(150, 321)(151, 298)(152, 293)(153, 324)(154, 300)(155, 302)(156, 299)(157, 301)(158, 305)(159, 312)(160, 309)(161, 311)(162, 315)(325, 489)(326, 491)(327, 487)(328, 496)(329, 488)(330, 500)(331, 497)(332, 503)(333, 504)(334, 490)(335, 493)(336, 510)(337, 511)(338, 492)(339, 516)(340, 517)(341, 494)(342, 495)(343, 524)(344, 521)(345, 527)(346, 529)(347, 530)(348, 498)(349, 499)(350, 537)(351, 534)(352, 540)(353, 541)(354, 501)(355, 502)(356, 548)(357, 545)(358, 536)(359, 506)(360, 535)(361, 533)(362, 505)(363, 556)(364, 557)(365, 507)(366, 560)(367, 508)(368, 509)(369, 567)(370, 564)(371, 523)(372, 513)(373, 522)(374, 520)(375, 512)(376, 575)(377, 576)(378, 514)(379, 515)(380, 580)(381, 570)(382, 566)(383, 519)(384, 579)(385, 563)(386, 518)(387, 587)(388, 573)(389, 562)(390, 589)(391, 592)(392, 569)(393, 594)(394, 525)(395, 526)(396, 577)(397, 591)(398, 528)(399, 601)(400, 551)(401, 547)(402, 532)(403, 600)(404, 544)(405, 531)(406, 608)(407, 554)(408, 543)(409, 610)(410, 613)(411, 550)(412, 615)(413, 538)(414, 539)(415, 558)(416, 612)(417, 546)(418, 542)(419, 619)(420, 606)(421, 607)(422, 620)(423, 603)(424, 604)(425, 549)(426, 616)(427, 552)(428, 624)(429, 559)(430, 553)(431, 617)(432, 555)(433, 609)(434, 614)(435, 623)(436, 602)(437, 605)(438, 565)(439, 561)(440, 598)(441, 585)(442, 586)(443, 599)(444, 582)(445, 583)(446, 568)(447, 595)(448, 571)(449, 634)(450, 578)(451, 572)(452, 596)(453, 574)(454, 588)(455, 593)(456, 633)(457, 581)(458, 584)(459, 641)(460, 639)(461, 597)(462, 590)(463, 644)(464, 642)(465, 643)(466, 640)(467, 632)(468, 638)(469, 645)(470, 629)(471, 618)(472, 611)(473, 648)(474, 646)(475, 647)(476, 630)(477, 622)(478, 628)(479, 621)(480, 626)(481, 627)(482, 625)(483, 631)(484, 636)(485, 637)(486, 635)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2746
Transitivity :: VT+
Graph::
	v = 81 e = 324 f = 189
	degree seq :: [ 8^81 ]

E28.2748 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 6})
Quotient :: loop^2
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 19>)
Aut   = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y2 * Y1)^3, (Y1 * Y3^-1 * Y2)^2, Y3^6, Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^2, Y2 * Y3^2 * Y1 * Y3 * Y2 * Y1 * Y3, Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y3, Y3^2 * Y2 * Y1 * Y3^2 * Y1 * Y3^2 * Y2 ]
Map::
	R = (1, 163, 325, 487, 4, 166, 328, 490, 14, 176, 338, 500, 41, 203, 365, 527, 17, 179, 341, 503, 5, 167, 329, 491)(2, 164, 326, 488, 7, 169, 331, 493, 23, 185, 347, 509, 63, 225, 387, 549, 26, 188, 350, 512, 8, 170, 332, 494)(3, 165, 327, 489, 10, 172, 334, 496, 30, 192, 354, 516, 76, 238, 400, 562, 33, 195, 357, 519, 11, 173, 335, 497)(6, 168, 330, 492, 19, 181, 343, 505, 52, 214, 376, 538, 106, 268, 430, 592, 55, 217, 379, 541, 20, 182, 344, 506)(9, 171, 333, 495, 27, 189, 351, 513, 71, 233, 395, 557, 113, 275, 437, 599, 72, 234, 396, 558, 28, 190, 352, 514)(12, 174, 336, 498, 34, 196, 358, 520, 84, 246, 408, 570, 137, 299, 461, 623, 86, 248, 410, 572, 35, 197, 359, 521)(13, 175, 337, 499, 37, 199, 361, 523, 53, 215, 377, 539, 29, 191, 353, 515, 73, 235, 397, 559, 38, 200, 362, 524)(15, 177, 339, 501, 43, 205, 367, 529, 66, 228, 390, 552, 24, 186, 348, 510, 65, 227, 389, 551, 44, 206, 368, 530)(16, 178, 340, 502, 45, 207, 369, 531, 96, 258, 420, 582, 143, 305, 467, 629, 97, 259, 421, 583, 46, 208, 370, 532)(18, 180, 342, 504, 49, 211, 373, 535, 101, 263, 425, 587, 83, 245, 407, 569, 102, 264, 426, 588, 50, 212, 374, 536)(21, 183, 345, 507, 56, 218, 380, 542, 114, 276, 438, 600, 151, 313, 475, 637, 116, 278, 440, 602, 57, 219, 381, 543)(22, 184, 346, 508, 59, 221, 383, 545, 31, 193, 355, 517, 51, 213, 375, 537, 103, 265, 427, 589, 60, 222, 384, 546)(25, 187, 349, 511, 67, 229, 391, 553, 126, 288, 450, 612, 157, 319, 481, 643, 127, 289, 451, 613, 68, 230, 392, 554)(32, 194, 356, 518, 78, 240, 402, 564, 132, 294, 456, 618, 160, 322, 484, 646, 133, 295, 457, 619, 79, 241, 403, 565)(36, 198, 360, 522, 70, 232, 394, 556, 130, 292, 454, 616, 158, 320, 482, 644, 139, 301, 463, 625, 87, 249, 411, 573)(39, 201, 363, 525, 77, 239, 401, 563, 111, 273, 435, 597, 149, 311, 473, 635, 141, 303, 465, 627, 89, 251, 413, 575)(40, 202, 364, 526, 91, 253, 415, 577, 128, 290, 452, 614, 88, 250, 412, 574, 140, 302, 464, 626, 92, 254, 416, 578)(42, 204, 366, 528, 93, 255, 417, 579, 142, 304, 466, 628, 159, 321, 483, 645, 131, 293, 455, 617, 74, 236, 398, 560)(47, 209, 371, 533, 82, 244, 406, 568, 136, 298, 460, 622, 94, 256, 418, 580, 105, 267, 429, 591, 99, 261, 423, 585)(48, 210, 372, 534, 100, 262, 424, 586, 144, 306, 468, 630, 153, 315, 477, 639, 117, 279, 441, 603, 58, 220, 382, 544)(54, 216, 378, 540, 108, 270, 432, 594, 146, 308, 470, 632, 162, 324, 486, 648, 147, 309, 471, 633, 109, 271, 433, 595)(61, 223, 385, 547, 107, 269, 431, 593, 81, 243, 405, 567, 135, 297, 459, 621, 155, 317, 479, 641, 119, 281, 443, 605)(62, 224, 386, 548, 121, 283, 445, 607, 98, 260, 422, 584, 118, 280, 442, 604, 154, 316, 478, 640, 122, 284, 446, 608)(64, 226, 388, 550, 123, 285, 447, 609, 156, 318, 480, 642, 161, 323, 485, 647, 145, 307, 469, 631, 104, 266, 428, 590)(69, 231, 393, 555, 112, 274, 436, 598, 150, 312, 474, 636, 124, 286, 448, 610, 75, 237, 399, 561, 129, 291, 453, 615)(80, 242, 404, 566, 125, 287, 449, 611, 152, 314, 476, 638, 115, 277, 439, 601, 90, 252, 414, 576, 134, 296, 458, 620)(85, 247, 409, 571, 120, 282, 444, 606, 148, 310, 472, 634, 110, 272, 434, 596, 95, 257, 419, 581, 138, 300, 462, 624)
	L = (1, 164)(2, 163)(3, 171)(4, 174)(5, 177)(6, 180)(7, 183)(8, 186)(9, 165)(10, 187)(11, 193)(12, 166)(13, 198)(14, 201)(15, 167)(16, 181)(17, 209)(18, 168)(19, 178)(20, 215)(21, 169)(22, 220)(23, 223)(24, 170)(25, 172)(26, 231)(27, 216)(28, 222)(29, 226)(30, 236)(31, 173)(32, 211)(33, 242)(34, 244)(35, 225)(36, 175)(37, 247)(38, 212)(39, 176)(40, 252)(41, 219)(42, 213)(43, 239)(44, 256)(45, 257)(46, 245)(47, 179)(48, 255)(49, 194)(50, 200)(51, 204)(52, 266)(53, 182)(54, 189)(55, 272)(56, 274)(57, 203)(58, 184)(59, 277)(60, 190)(61, 185)(62, 282)(63, 197)(64, 191)(65, 269)(66, 286)(67, 287)(68, 275)(69, 188)(70, 285)(71, 279)(72, 290)(73, 284)(74, 192)(75, 267)(76, 271)(77, 205)(78, 280)(79, 268)(80, 195)(81, 273)(82, 196)(83, 208)(84, 291)(85, 199)(86, 297)(87, 263)(88, 270)(89, 299)(90, 202)(91, 288)(92, 265)(93, 210)(94, 206)(95, 207)(96, 283)(97, 292)(98, 264)(99, 276)(100, 289)(101, 249)(102, 260)(103, 254)(104, 214)(105, 237)(106, 241)(107, 227)(108, 250)(109, 238)(110, 217)(111, 243)(112, 218)(113, 230)(114, 261)(115, 221)(116, 311)(117, 233)(118, 240)(119, 313)(120, 224)(121, 258)(122, 235)(123, 232)(124, 228)(125, 229)(126, 253)(127, 262)(128, 234)(129, 246)(130, 259)(131, 319)(132, 310)(133, 318)(134, 308)(135, 248)(136, 317)(137, 251)(138, 320)(139, 322)(140, 321)(141, 312)(142, 309)(143, 307)(144, 314)(145, 305)(146, 296)(147, 304)(148, 294)(149, 278)(150, 303)(151, 281)(152, 306)(153, 324)(154, 323)(155, 298)(156, 295)(157, 293)(158, 300)(159, 302)(160, 301)(161, 316)(162, 315)(325, 489)(326, 492)(327, 487)(328, 499)(329, 502)(330, 488)(331, 508)(332, 511)(333, 504)(334, 515)(335, 518)(336, 514)(337, 490)(338, 526)(339, 528)(340, 491)(341, 534)(342, 495)(343, 537)(344, 540)(345, 536)(346, 493)(347, 548)(348, 550)(349, 494)(350, 556)(351, 551)(352, 498)(353, 496)(354, 561)(355, 563)(356, 497)(357, 567)(358, 569)(359, 571)(360, 546)(361, 574)(362, 544)(363, 573)(364, 500)(365, 564)(366, 501)(367, 535)(368, 581)(369, 562)(370, 578)(371, 584)(372, 503)(373, 529)(374, 507)(375, 505)(376, 591)(377, 593)(378, 506)(379, 597)(380, 599)(381, 601)(382, 524)(383, 604)(384, 522)(385, 603)(386, 509)(387, 594)(388, 510)(389, 513)(390, 611)(391, 592)(392, 608)(393, 614)(394, 512)(395, 606)(396, 609)(397, 598)(398, 590)(399, 516)(400, 531)(401, 517)(402, 527)(403, 610)(404, 596)(405, 519)(406, 589)(407, 520)(408, 617)(409, 521)(410, 620)(411, 525)(412, 523)(413, 612)(414, 587)(415, 619)(416, 532)(417, 588)(418, 595)(419, 530)(420, 605)(421, 615)(422, 533)(423, 613)(424, 629)(425, 576)(426, 579)(427, 568)(428, 560)(429, 538)(430, 553)(431, 539)(432, 549)(433, 580)(434, 566)(435, 541)(436, 559)(437, 542)(438, 631)(439, 543)(440, 634)(441, 547)(442, 545)(443, 582)(444, 557)(445, 633)(446, 554)(447, 558)(448, 565)(449, 552)(450, 575)(451, 585)(452, 555)(453, 583)(454, 643)(455, 570)(456, 639)(457, 577)(458, 572)(459, 646)(460, 644)(461, 642)(462, 645)(463, 632)(464, 641)(465, 640)(466, 637)(467, 586)(468, 636)(469, 600)(470, 625)(471, 607)(472, 602)(473, 648)(474, 630)(475, 628)(476, 647)(477, 618)(478, 627)(479, 626)(480, 623)(481, 616)(482, 622)(483, 624)(484, 621)(485, 638)(486, 635)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.2745
Transitivity :: VT+
Graph::
	v = 27 e = 324 f = 243
	degree seq :: [ 24^27 ]

E28.2749 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 19>)
Aut   = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1, Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y3, (Y2 * Y1 * Y3)^3, (Y3 * Y1 * Y2 * Y1 * Y2 * Y1)^2, (Y2 * Y1 * Y2 * R * Y1 * Y2 * Y1)^2, Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 163, 2, 164)(3, 165, 9, 171)(4, 166, 12, 174)(5, 167, 13, 175)(6, 168, 14, 176)(7, 169, 17, 179)(8, 170, 18, 180)(10, 172, 22, 184)(11, 173, 23, 185)(15, 177, 33, 195)(16, 178, 34, 196)(19, 181, 41, 203)(20, 182, 44, 206)(21, 183, 45, 207)(24, 186, 52, 214)(25, 187, 36, 198)(26, 188, 39, 201)(27, 189, 55, 217)(28, 190, 37, 199)(29, 191, 40, 202)(30, 192, 58, 220)(31, 193, 61, 223)(32, 194, 62, 224)(35, 197, 67, 229)(38, 200, 70, 232)(42, 204, 76, 238)(43, 205, 57, 219)(46, 208, 83, 245)(47, 209, 78, 240)(48, 210, 81, 243)(49, 211, 86, 248)(50, 212, 79, 241)(51, 213, 82, 244)(53, 215, 90, 252)(54, 216, 85, 247)(56, 218, 94, 256)(59, 221, 98, 260)(60, 222, 72, 234)(63, 225, 104, 266)(64, 226, 100, 262)(65, 227, 102, 264)(66, 228, 103, 265)(68, 230, 110, 272)(69, 231, 106, 268)(71, 233, 112, 274)(73, 235, 113, 275)(74, 236, 92, 254)(75, 237, 107, 269)(77, 239, 101, 263)(80, 242, 99, 261)(84, 246, 126, 288)(87, 249, 97, 259)(88, 250, 124, 286)(89, 251, 129, 291)(91, 253, 96, 258)(93, 255, 117, 279)(95, 257, 134, 296)(105, 267, 146, 308)(108, 270, 144, 306)(109, 271, 147, 309)(111, 273, 138, 300)(114, 276, 152, 314)(115, 277, 122, 284)(116, 278, 153, 315)(118, 280, 133, 295)(119, 281, 156, 318)(120, 282, 155, 317)(121, 283, 157, 319)(123, 285, 151, 313)(125, 287, 131, 293)(127, 289, 150, 312)(128, 290, 139, 301)(130, 292, 145, 307)(132, 294, 160, 322)(135, 297, 154, 316)(136, 298, 142, 304)(137, 299, 158, 320)(140, 302, 161, 323)(141, 303, 162, 324)(143, 305, 159, 321)(148, 310, 149, 311)(325, 487, 327, 489)(326, 488, 330, 492)(328, 490, 335, 497)(329, 491, 334, 496)(331, 493, 340, 502)(332, 494, 339, 501)(333, 495, 343, 505)(336, 498, 348, 510)(337, 499, 351, 513)(338, 500, 354, 516)(341, 503, 359, 521)(342, 504, 362, 524)(344, 506, 367, 529)(345, 507, 366, 528)(346, 508, 370, 532)(347, 509, 373, 535)(349, 511, 378, 540)(350, 512, 377, 539)(352, 514, 381, 543)(353, 515, 380, 542)(355, 517, 384, 546)(356, 518, 383, 545)(357, 519, 387, 549)(358, 520, 374, 536)(360, 522, 393, 555)(361, 523, 392, 554)(363, 525, 396, 558)(364, 526, 395, 557)(365, 527, 397, 559)(368, 530, 401, 563)(369, 531, 404, 566)(371, 533, 409, 571)(372, 534, 408, 570)(375, 537, 390, 552)(376, 538, 411, 573)(379, 541, 415, 577)(382, 544, 419, 581)(385, 547, 423, 585)(386, 548, 425, 587)(388, 550, 430, 592)(389, 551, 429, 591)(391, 553, 431, 593)(394, 556, 416, 578)(398, 560, 439, 601)(399, 561, 438, 600)(400, 562, 440, 602)(402, 564, 444, 606)(403, 565, 443, 605)(405, 567, 446, 608)(406, 568, 445, 607)(407, 569, 447, 609)(410, 572, 451, 613)(412, 574, 436, 598)(413, 575, 452, 614)(414, 576, 454, 616)(417, 579, 435, 597)(418, 580, 432, 594)(420, 582, 460, 622)(421, 583, 459, 621)(422, 584, 461, 623)(424, 586, 464, 626)(426, 588, 466, 628)(427, 589, 465, 627)(428, 590, 467, 629)(433, 595, 457, 619)(434, 596, 455, 617)(437, 599, 473, 635)(441, 603, 479, 641)(442, 604, 478, 640)(448, 610, 481, 643)(449, 611, 482, 644)(450, 612, 483, 645)(453, 615, 480, 642)(456, 618, 472, 634)(458, 620, 484, 646)(462, 624, 485, 647)(463, 625, 476, 638)(468, 630, 486, 648)(469, 631, 477, 639)(470, 632, 475, 637)(471, 633, 474, 636)
	L = (1, 328)(2, 331)(3, 334)(4, 329)(5, 325)(6, 339)(7, 332)(8, 326)(9, 344)(10, 335)(11, 327)(12, 349)(13, 352)(14, 355)(15, 340)(16, 330)(17, 360)(18, 363)(19, 366)(20, 345)(21, 333)(22, 371)(23, 374)(24, 377)(25, 350)(26, 336)(27, 380)(28, 353)(29, 337)(30, 383)(31, 356)(32, 338)(33, 388)(34, 373)(35, 392)(36, 361)(37, 341)(38, 395)(39, 364)(40, 342)(41, 398)(42, 367)(43, 343)(44, 402)(45, 405)(46, 408)(47, 372)(48, 346)(49, 390)(50, 375)(51, 347)(52, 412)(53, 378)(54, 348)(55, 416)(56, 381)(57, 351)(58, 420)(59, 384)(60, 354)(61, 424)(62, 426)(63, 429)(64, 389)(65, 357)(66, 358)(67, 432)(68, 393)(69, 359)(70, 415)(71, 396)(72, 362)(73, 438)(74, 399)(75, 365)(76, 441)(77, 443)(78, 403)(79, 368)(80, 445)(81, 406)(82, 369)(83, 448)(84, 409)(85, 370)(86, 385)(87, 452)(88, 413)(89, 376)(90, 455)(91, 435)(92, 417)(93, 379)(94, 431)(95, 459)(96, 421)(97, 382)(98, 462)(99, 451)(100, 410)(101, 465)(102, 427)(103, 386)(104, 468)(105, 430)(106, 387)(107, 457)(108, 433)(109, 391)(110, 454)(111, 394)(112, 411)(113, 474)(114, 439)(115, 397)(116, 478)(117, 442)(118, 400)(119, 444)(120, 401)(121, 446)(122, 404)(123, 482)(124, 449)(125, 407)(126, 453)(127, 464)(128, 436)(129, 484)(130, 472)(131, 456)(132, 414)(133, 418)(134, 480)(135, 460)(136, 419)(137, 476)(138, 463)(139, 422)(140, 423)(141, 466)(142, 425)(143, 477)(144, 469)(145, 428)(146, 471)(147, 473)(148, 434)(149, 470)(150, 475)(151, 437)(152, 485)(153, 486)(154, 479)(155, 440)(156, 483)(157, 447)(158, 481)(159, 458)(160, 450)(161, 461)(162, 467)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2750
Graph:: simple bipartite
	v = 162 e = 324 f = 108
	degree seq :: [ 4^162 ]

E28.2750 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 19>)
Aut   = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^3, (Y1 * Y3)^2, (R * Y3)^2, (Y2 * Y3^-1)^2, (R * Y1)^2, Y1^6, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1^-3, Y1^3 * Y3^-1 * Y1 * Y3^-1, Y3 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y3 * Y1^-1, Y2 * Y1^2 * Y2 * Y1^2 * Y2 * Y1^-2 * Y2 * Y1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 163, 2, 164, 7, 169, 21, 183, 19, 181, 5, 167)(3, 165, 11, 173, 31, 193, 65, 227, 39, 201, 13, 175)(4, 166, 15, 177, 23, 185, 10, 172, 30, 192, 16, 178)(6, 168, 20, 182, 24, 186, 18, 180, 29, 191, 9, 171)(8, 170, 25, 187, 53, 215, 32, 194, 61, 223, 27, 189)(12, 174, 35, 197, 67, 229, 34, 196, 70, 232, 36, 198)(14, 176, 40, 202, 68, 230, 38, 200, 69, 231, 33, 195)(17, 179, 43, 205, 80, 242, 123, 285, 82, 244, 44, 206)(22, 184, 49, 211, 88, 250, 54, 216, 95, 257, 51, 213)(26, 188, 57, 219, 98, 260, 56, 218, 101, 263, 58, 220)(28, 190, 62, 224, 99, 261, 60, 222, 100, 262, 55, 217)(37, 199, 48, 210, 87, 249, 129, 291, 89, 251, 73, 235)(41, 203, 77, 239, 122, 284, 76, 238, 121, 283, 78, 240)(42, 204, 74, 236, 119, 281, 128, 290, 118, 280, 79, 241)(45, 207, 83, 245, 125, 287, 81, 243, 117, 279, 72, 234)(46, 208, 84, 246, 127, 289, 130, 292, 103, 265, 59, 221)(47, 209, 85, 247, 116, 278, 71, 233, 115, 277, 86, 248)(50, 212, 92, 254, 132, 294, 91, 253, 135, 297, 93, 255)(52, 214, 96, 258, 133, 295, 94, 256, 134, 296, 90, 252)(63, 225, 104, 266, 145, 307, 126, 288, 144, 306, 106, 268)(64, 226, 107, 269, 143, 305, 102, 264, 142, 304, 108, 270)(66, 228, 109, 271, 131, 293, 105, 267, 146, 308, 111, 273)(75, 237, 120, 282, 136, 298, 124, 286, 138, 300, 97, 259)(110, 272, 149, 311, 155, 317, 148, 310, 161, 323, 141, 303)(112, 274, 140, 302, 156, 318, 150, 312, 162, 324, 147, 309)(113, 275, 139, 301, 157, 319, 154, 316, 160, 322, 151, 313)(114, 276, 152, 314, 158, 320, 137, 299, 159, 321, 153, 315)(325, 487, 327, 489)(326, 488, 332, 494)(328, 490, 338, 500)(329, 491, 341, 503)(330, 492, 336, 498)(331, 493, 346, 508)(333, 495, 352, 514)(334, 496, 350, 512)(335, 497, 356, 518)(337, 499, 361, 523)(339, 501, 365, 527)(340, 502, 366, 528)(342, 504, 369, 531)(343, 505, 370, 532)(344, 506, 371, 533)(345, 507, 372, 534)(347, 509, 376, 538)(348, 510, 374, 536)(349, 511, 378, 540)(351, 513, 383, 545)(353, 515, 387, 549)(354, 516, 388, 550)(355, 517, 390, 552)(357, 519, 382, 544)(358, 520, 386, 548)(359, 521, 395, 557)(360, 522, 396, 558)(362, 524, 398, 560)(363, 525, 399, 561)(364, 526, 400, 562)(367, 529, 389, 551)(368, 530, 375, 537)(373, 535, 413, 575)(377, 539, 421, 583)(379, 541, 417, 579)(380, 542, 420, 582)(381, 543, 426, 588)(384, 546, 428, 590)(385, 547, 429, 591)(391, 553, 436, 598)(392, 554, 434, 596)(393, 555, 437, 599)(394, 556, 438, 600)(397, 559, 435, 597)(401, 563, 418, 580)(402, 564, 432, 594)(403, 565, 414, 576)(404, 566, 448, 610)(405, 567, 416, 578)(406, 568, 433, 595)(407, 569, 450, 612)(408, 570, 447, 609)(409, 571, 415, 577)(410, 572, 430, 592)(411, 573, 454, 616)(412, 574, 455, 617)(419, 581, 460, 622)(422, 584, 463, 625)(423, 585, 461, 623)(424, 586, 464, 626)(425, 587, 465, 627)(427, 589, 462, 624)(431, 593, 452, 614)(439, 601, 474, 636)(440, 602, 477, 639)(441, 603, 471, 633)(442, 604, 473, 635)(443, 605, 478, 640)(444, 606, 453, 615)(445, 607, 472, 634)(446, 608, 475, 637)(449, 611, 476, 638)(451, 613, 470, 632)(456, 618, 480, 642)(457, 619, 479, 641)(458, 620, 481, 643)(459, 621, 482, 644)(466, 628, 484, 646)(467, 629, 485, 647)(468, 630, 483, 645)(469, 631, 486, 648)
	L = (1, 328)(2, 333)(3, 336)(4, 330)(5, 342)(6, 325)(7, 347)(8, 350)(9, 334)(10, 326)(11, 357)(12, 338)(13, 362)(14, 327)(15, 329)(16, 345)(17, 365)(18, 339)(19, 354)(20, 340)(21, 344)(22, 374)(23, 348)(24, 331)(25, 379)(26, 352)(27, 384)(28, 332)(29, 343)(30, 353)(31, 391)(32, 386)(33, 358)(34, 335)(35, 337)(36, 389)(37, 395)(38, 359)(39, 394)(40, 360)(41, 369)(42, 371)(43, 396)(44, 405)(45, 341)(46, 387)(47, 372)(48, 366)(49, 414)(50, 376)(51, 418)(52, 346)(53, 422)(54, 420)(55, 380)(56, 349)(57, 351)(58, 356)(59, 426)(60, 381)(61, 425)(62, 382)(63, 388)(64, 370)(65, 364)(66, 434)(67, 392)(68, 355)(69, 363)(70, 393)(71, 398)(72, 400)(73, 442)(74, 361)(75, 437)(76, 367)(77, 368)(78, 447)(79, 413)(80, 446)(81, 401)(82, 445)(83, 402)(84, 432)(85, 403)(86, 452)(87, 410)(88, 456)(89, 409)(90, 415)(91, 373)(92, 375)(93, 378)(94, 416)(95, 459)(96, 417)(97, 461)(98, 423)(99, 377)(100, 385)(101, 424)(102, 428)(103, 468)(104, 383)(105, 464)(106, 454)(107, 430)(108, 450)(109, 471)(110, 436)(111, 474)(112, 390)(113, 438)(114, 399)(115, 397)(116, 453)(117, 406)(118, 439)(119, 440)(120, 477)(121, 441)(122, 449)(123, 407)(124, 476)(125, 404)(126, 408)(127, 469)(128, 411)(129, 443)(130, 431)(131, 479)(132, 457)(133, 412)(134, 419)(135, 458)(136, 481)(137, 463)(138, 484)(139, 421)(140, 465)(141, 429)(142, 427)(143, 451)(144, 466)(145, 467)(146, 485)(147, 472)(148, 433)(149, 435)(150, 473)(151, 448)(152, 475)(153, 478)(154, 444)(155, 480)(156, 455)(157, 482)(158, 460)(159, 462)(160, 483)(161, 486)(162, 470)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2749
Graph:: simple bipartite
	v = 108 e = 324 f = 162
	degree seq :: [ 4^81, 12^27 ]

E28.2751 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: halfedge^2
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 20>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 40>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y2)^3, Y2 * Y1 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y1, Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y3, (Y3 * Y1)^9, (Y1 * Y2 * Y3)^6 ]
Map:: polytopal non-degenerate
	R = (1, 164, 2, 163)(3, 169, 7, 165)(4, 171, 9, 166)(5, 173, 11, 167)(6, 175, 13, 168)(8, 179, 17, 170)(10, 183, 21, 172)(12, 186, 24, 174)(14, 190, 28, 176)(15, 191, 29, 177)(16, 193, 31, 178)(18, 197, 35, 180)(19, 198, 36, 181)(20, 200, 38, 182)(22, 204, 42, 184)(23, 206, 44, 185)(25, 210, 48, 187)(26, 211, 49, 188)(27, 213, 51, 189)(30, 209, 47, 192)(32, 222, 60, 194)(33, 223, 61, 195)(34, 205, 43, 196)(37, 230, 68, 199)(39, 215, 53, 201)(40, 214, 52, 202)(41, 234, 72, 203)(45, 241, 79, 207)(46, 242, 80, 208)(50, 249, 87, 212)(54, 253, 91, 216)(55, 255, 93, 217)(56, 256, 94, 218)(57, 258, 96, 219)(58, 252, 90, 220)(59, 259, 97, 221)(62, 263, 101, 224)(63, 248, 86, 225)(64, 260, 98, 226)(65, 266, 104, 227)(66, 268, 106, 228)(67, 244, 82, 229)(69, 270, 108, 231)(70, 271, 109, 232)(71, 239, 77, 233)(73, 273, 111, 235)(74, 274, 112, 236)(75, 275, 113, 237)(76, 277, 115, 238)(78, 278, 116, 240)(81, 282, 120, 243)(83, 279, 117, 245)(84, 285, 123, 246)(85, 287, 125, 247)(88, 289, 127, 250)(89, 290, 128, 251)(92, 292, 130, 254)(95, 281, 119, 257)(99, 280, 118, 261)(100, 276, 114, 262)(102, 299, 137, 264)(103, 295, 133, 265)(105, 301, 139, 267)(107, 288, 126, 269)(110, 304, 142, 272)(121, 311, 149, 283)(122, 307, 145, 284)(124, 313, 151, 286)(129, 316, 154, 291)(131, 317, 155, 293)(132, 318, 156, 294)(134, 319, 157, 296)(135, 314, 152, 297)(136, 312, 150, 298)(138, 310, 148, 300)(140, 309, 147, 302)(141, 320, 158, 303)(143, 321, 159, 305)(144, 322, 160, 306)(146, 323, 161, 308)(153, 324, 162, 315)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 18)(9, 19)(11, 22)(12, 25)(13, 26)(16, 32)(17, 33)(20, 39)(21, 40)(23, 45)(24, 46)(27, 52)(28, 53)(29, 55)(30, 57)(31, 58)(34, 63)(35, 64)(36, 66)(37, 69)(38, 70)(41, 73)(42, 74)(43, 76)(44, 77)(47, 82)(48, 83)(49, 85)(50, 88)(51, 89)(54, 92)(56, 95)(59, 98)(60, 86)(61, 100)(62, 102)(65, 105)(67, 79)(68, 107)(71, 110)(72, 91)(75, 114)(78, 117)(80, 119)(81, 121)(84, 124)(87, 126)(90, 129)(93, 131)(94, 133)(96, 135)(97, 136)(99, 123)(101, 127)(103, 138)(104, 118)(106, 132)(108, 120)(109, 141)(111, 139)(112, 143)(113, 145)(115, 147)(116, 148)(122, 150)(125, 144)(128, 153)(130, 151)(134, 152)(137, 149)(140, 146)(142, 157)(154, 161)(155, 159)(156, 162)(158, 160)(163, 166)(164, 168)(165, 170)(167, 174)(169, 178)(171, 182)(172, 180)(173, 185)(175, 189)(176, 187)(177, 192)(179, 196)(181, 199)(183, 203)(184, 205)(186, 209)(188, 212)(190, 216)(191, 218)(193, 221)(194, 219)(195, 224)(197, 227)(198, 229)(200, 217)(201, 231)(202, 233)(204, 237)(206, 240)(207, 238)(208, 243)(210, 246)(211, 248)(213, 236)(214, 250)(215, 252)(220, 249)(222, 261)(223, 242)(225, 264)(226, 265)(228, 266)(230, 239)(232, 257)(234, 262)(235, 272)(241, 280)(244, 283)(245, 284)(247, 285)(251, 276)(253, 281)(254, 291)(255, 294)(256, 296)(258, 292)(259, 293)(260, 288)(263, 295)(267, 300)(268, 298)(269, 279)(270, 302)(271, 301)(273, 277)(274, 306)(275, 308)(278, 305)(282, 307)(286, 312)(287, 310)(289, 314)(290, 313)(297, 315)(299, 320)(303, 309)(304, 316)(311, 324)(317, 323)(318, 322)(319, 321)
	local type(s) :: { ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E28.2752
Transitivity :: VT+ AT
Graph:: simple
	v = 81 e = 162 f = 27
	degree seq :: [ 4^81 ]

E28.2752 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: halfedge^2
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 20>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 40>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y1^6, (Y3 * Y2 * Y1)^2, (Y3 * Y2)^3, Y2 * Y1^-3 * Y2 * Y1 * Y2 * Y1^-1, Y1^-1 * Y3 * Y1 * Y3 * Y1^-3 * Y3, Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1^2, (Y1^-1 * Y3 * Y1^2 * Y2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 164, 2, 168, 6, 180, 18, 179, 17, 167, 5, 163)(3, 171, 9, 189, 27, 224, 62, 196, 34, 173, 11, 165)(4, 174, 12, 197, 35, 250, 88, 203, 41, 176, 14, 166)(7, 183, 21, 219, 57, 275, 113, 226, 64, 185, 23, 169)(8, 186, 24, 227, 65, 199, 37, 232, 70, 188, 26, 170)(10, 192, 30, 239, 77, 298, 136, 230, 68, 187, 25, 172)(13, 200, 38, 255, 93, 311, 149, 257, 95, 201, 39, 175)(15, 204, 42, 245, 83, 194, 32, 244, 82, 205, 43, 177)(16, 206, 44, 262, 100, 306, 144, 240, 78, 208, 46, 178)(19, 213, 51, 271, 109, 315, 153, 277, 115, 215, 53, 181)(20, 216, 54, 278, 116, 229, 67, 281, 119, 218, 56, 182)(22, 222, 60, 287, 125, 323, 161, 280, 118, 217, 55, 184)(28, 235, 73, 302, 140, 316, 154, 268, 106, 211, 49, 190)(29, 237, 75, 272, 110, 241, 79, 284, 122, 238, 76, 191)(31, 242, 80, 274, 112, 320, 158, 307, 145, 243, 81, 193)(33, 246, 84, 276, 114, 254, 92, 198, 36, 247, 85, 195)(40, 212, 50, 269, 107, 317, 155, 279, 117, 258, 96, 202)(45, 264, 102, 304, 142, 322, 160, 295, 133, 234, 72, 207)(47, 220, 58, 283, 121, 261, 99, 305, 143, 253, 91, 209)(48, 265, 103, 312, 150, 318, 156, 299, 137, 231, 69, 210)(52, 273, 111, 249, 87, 309, 147, 319, 157, 270, 108, 214)(59, 285, 123, 236, 74, 288, 126, 260, 98, 286, 124, 221)(61, 289, 127, 314, 152, 310, 148, 256, 94, 290, 128, 223)(63, 291, 129, 263, 101, 297, 135, 228, 66, 292, 130, 225)(71, 296, 134, 259, 97, 293, 131, 324, 162, 301, 139, 233)(86, 300, 138, 321, 159, 308, 146, 252, 90, 282, 120, 248)(89, 303, 141, 266, 104, 267, 105, 313, 151, 294, 132, 251)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 28)(10, 31)(11, 32)(12, 36)(14, 29)(16, 45)(17, 47)(18, 49)(20, 55)(21, 58)(22, 61)(23, 62)(24, 66)(26, 59)(27, 71)(30, 78)(33, 54)(34, 86)(35, 89)(37, 81)(38, 94)(39, 79)(40, 74)(41, 60)(42, 51)(43, 99)(44, 101)(46, 98)(48, 104)(50, 108)(52, 112)(53, 113)(56, 110)(57, 120)(63, 107)(64, 131)(65, 133)(67, 128)(68, 126)(69, 122)(70, 111)(72, 123)(73, 138)(75, 141)(76, 118)(77, 135)(80, 117)(82, 134)(83, 146)(84, 132)(85, 125)(87, 130)(88, 148)(90, 143)(91, 140)(92, 149)(93, 137)(95, 116)(96, 142)(97, 109)(100, 147)(102, 145)(103, 114)(105, 152)(106, 153)(115, 159)(119, 151)(121, 162)(124, 157)(127, 156)(129, 160)(136, 155)(139, 154)(144, 158)(150, 161)(163, 166)(164, 170)(165, 172)(167, 178)(168, 182)(169, 184)(171, 191)(173, 195)(174, 199)(175, 193)(176, 202)(177, 200)(179, 210)(180, 212)(181, 214)(183, 221)(185, 225)(186, 229)(187, 223)(188, 231)(189, 234)(190, 236)(192, 241)(194, 242)(196, 249)(197, 252)(198, 253)(201, 219)(203, 259)(204, 260)(205, 228)(206, 250)(207, 256)(208, 218)(209, 264)(211, 267)(213, 272)(215, 276)(216, 279)(217, 274)(220, 284)(222, 288)(224, 289)(226, 294)(227, 296)(230, 271)(232, 300)(233, 299)(235, 280)(237, 304)(238, 273)(239, 305)(240, 282)(243, 302)(244, 287)(245, 303)(246, 298)(247, 295)(248, 278)(251, 297)(254, 309)(255, 285)(257, 292)(258, 308)(261, 290)(262, 301)(263, 268)(265, 306)(266, 307)(269, 318)(270, 314)(275, 320)(277, 322)(281, 324)(283, 319)(286, 313)(291, 323)(293, 317)(310, 315)(311, 316)(312, 321)
	local type(s) :: { ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2751
Transitivity :: VT+ AT
Graph:: simple
	v = 27 e = 162 f = 81
	degree seq :: [ 12^27 ]

E28.2753 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: edge^2
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 20>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 40>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1)^3, Y3 * Y1 * Y3 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1, Y3 * Y2 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y2 * Y3 * Y2 * Y1 * Y3 * Y2 ]
Map:: polytopal
	R = (1, 163, 4, 166)(2, 164, 6, 168)(3, 165, 8, 170)(5, 167, 12, 174)(7, 169, 15, 177)(9, 171, 19, 181)(10, 172, 21, 183)(11, 173, 22, 184)(13, 175, 26, 188)(14, 176, 28, 190)(16, 178, 32, 194)(17, 179, 34, 196)(18, 180, 36, 198)(20, 182, 39, 201)(23, 185, 45, 207)(24, 186, 47, 209)(25, 187, 49, 211)(27, 189, 52, 214)(29, 191, 56, 218)(30, 192, 58, 220)(31, 193, 60, 222)(33, 195, 63, 225)(35, 197, 65, 227)(37, 199, 67, 229)(38, 200, 69, 231)(40, 202, 72, 234)(41, 203, 73, 235)(42, 204, 75, 237)(43, 205, 77, 239)(44, 206, 79, 241)(46, 208, 82, 244)(48, 210, 84, 246)(50, 212, 86, 248)(51, 213, 88, 250)(53, 215, 91, 253)(54, 216, 92, 254)(55, 217, 94, 256)(57, 219, 96, 258)(59, 221, 98, 260)(61, 223, 100, 262)(62, 224, 85, 247)(64, 226, 102, 264)(66, 228, 81, 243)(68, 230, 101, 263)(70, 232, 97, 259)(71, 233, 90, 252)(74, 236, 113, 275)(76, 238, 115, 277)(78, 240, 117, 279)(80, 242, 119, 281)(83, 245, 121, 283)(87, 249, 120, 282)(89, 251, 116, 278)(93, 255, 131, 293)(95, 257, 118, 280)(99, 261, 114, 276)(103, 265, 134, 296)(104, 266, 128, 290)(105, 267, 132, 294)(106, 268, 138, 300)(107, 269, 139, 301)(108, 270, 140, 302)(109, 271, 123, 285)(110, 272, 141, 303)(111, 273, 142, 304)(112, 274, 143, 305)(122, 284, 146, 308)(124, 286, 144, 306)(125, 287, 150, 312)(126, 288, 151, 313)(127, 289, 152, 314)(129, 291, 153, 315)(130, 292, 154, 316)(133, 295, 147, 309)(135, 297, 145, 307)(136, 298, 155, 317)(137, 299, 149, 311)(148, 310, 159, 321)(156, 318, 162, 324)(157, 319, 161, 323)(158, 320, 160, 322)(325, 326)(327, 331)(328, 333)(329, 335)(330, 337)(332, 340)(334, 344)(336, 347)(338, 351)(339, 353)(341, 357)(342, 359)(343, 361)(345, 364)(346, 366)(348, 370)(349, 372)(350, 374)(352, 377)(354, 381)(355, 383)(356, 385)(358, 388)(360, 390)(362, 392)(363, 387)(365, 380)(367, 400)(368, 402)(369, 404)(371, 407)(373, 409)(375, 411)(376, 406)(378, 399)(379, 417)(382, 421)(384, 423)(386, 425)(389, 427)(391, 430)(393, 418)(394, 433)(395, 419)(396, 434)(397, 435)(398, 436)(401, 440)(403, 442)(405, 444)(408, 446)(410, 449)(412, 437)(413, 452)(414, 438)(415, 453)(416, 454)(420, 439)(422, 456)(424, 450)(426, 459)(428, 461)(429, 448)(431, 443)(432, 458)(441, 468)(445, 471)(447, 473)(451, 470)(455, 476)(457, 480)(460, 478)(462, 481)(463, 479)(464, 467)(465, 482)(466, 472)(469, 484)(474, 485)(475, 483)(477, 486)(487, 489)(488, 491)(490, 496)(492, 500)(493, 497)(494, 503)(495, 504)(498, 510)(499, 511)(501, 516)(502, 517)(505, 524)(506, 521)(507, 527)(508, 529)(509, 530)(512, 537)(513, 534)(514, 540)(515, 541)(518, 548)(519, 545)(520, 536)(522, 535)(523, 533)(525, 556)(526, 557)(528, 560)(531, 567)(532, 564)(538, 575)(539, 576)(542, 581)(543, 579)(544, 566)(546, 580)(547, 563)(549, 577)(550, 573)(551, 590)(552, 591)(553, 593)(554, 569)(555, 594)(558, 568)(559, 592)(561, 600)(562, 598)(565, 599)(570, 609)(571, 610)(572, 612)(574, 613)(578, 611)(582, 607)(583, 606)(584, 619)(585, 620)(586, 616)(587, 602)(588, 601)(589, 622)(595, 615)(596, 614)(597, 605)(603, 631)(604, 632)(608, 634)(617, 639)(618, 641)(621, 633)(623, 640)(624, 644)(625, 642)(626, 643)(627, 629)(628, 635)(630, 645)(636, 648)(637, 646)(638, 647)
	L = (1, 325)(2, 326)(3, 327)(4, 328)(5, 329)(6, 330)(7, 331)(8, 332)(9, 333)(10, 334)(11, 335)(12, 336)(13, 337)(14, 338)(15, 339)(16, 340)(17, 341)(18, 342)(19, 343)(20, 344)(21, 345)(22, 346)(23, 347)(24, 348)(25, 349)(26, 350)(27, 351)(28, 352)(29, 353)(30, 354)(31, 355)(32, 356)(33, 357)(34, 358)(35, 359)(36, 360)(37, 361)(38, 362)(39, 363)(40, 364)(41, 365)(42, 366)(43, 367)(44, 368)(45, 369)(46, 370)(47, 371)(48, 372)(49, 373)(50, 374)(51, 375)(52, 376)(53, 377)(54, 378)(55, 379)(56, 380)(57, 381)(58, 382)(59, 383)(60, 384)(61, 385)(62, 386)(63, 387)(64, 388)(65, 389)(66, 390)(67, 391)(68, 392)(69, 393)(70, 394)(71, 395)(72, 396)(73, 397)(74, 398)(75, 399)(76, 400)(77, 401)(78, 402)(79, 403)(80, 404)(81, 405)(82, 406)(83, 407)(84, 408)(85, 409)(86, 410)(87, 411)(88, 412)(89, 413)(90, 414)(91, 415)(92, 416)(93, 417)(94, 418)(95, 419)(96, 420)(97, 421)(98, 422)(99, 423)(100, 424)(101, 425)(102, 426)(103, 427)(104, 428)(105, 429)(106, 430)(107, 431)(108, 432)(109, 433)(110, 434)(111, 435)(112, 436)(113, 437)(114, 438)(115, 439)(116, 440)(117, 441)(118, 442)(119, 443)(120, 444)(121, 445)(122, 446)(123, 447)(124, 448)(125, 449)(126, 450)(127, 451)(128, 452)(129, 453)(130, 454)(131, 455)(132, 456)(133, 457)(134, 458)(135, 459)(136, 460)(137, 461)(138, 462)(139, 463)(140, 464)(141, 465)(142, 466)(143, 467)(144, 468)(145, 469)(146, 470)(147, 471)(148, 472)(149, 473)(150, 474)(151, 475)(152, 476)(153, 477)(154, 478)(155, 479)(156, 480)(157, 481)(158, 482)(159, 483)(160, 484)(161, 485)(162, 486)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 24, 24 ), ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E28.2756
Graph:: simple bipartite
	v = 243 e = 324 f = 27
	degree seq :: [ 2^162, 4^81 ]

E28.2754 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: edge^2
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 20>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 40>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1 * Y2)^2, Y3^6, (Y2 * Y1)^3, Y3^-1 * Y1 * Y3 * Y1 * Y3^3 * Y1, Y3^-2 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1, Y3 * Y2 * Y3^-1 * Y2 * Y3^3 * Y2, Y2 * Y1 * Y3^2 * Y1 * Y2 * Y1 * Y3^-2 * Y1, Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3^-1 * Y1, Y2 * Y3 * Y2 * Y3 * Y2 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1, (Y3^2 * Y2 * Y3^-1 * Y1)^2 ]
Map:: polytopal
	R = (1, 163, 4, 166, 14, 176, 41, 203, 17, 179, 5, 167)(2, 164, 7, 169, 23, 185, 63, 225, 26, 188, 8, 170)(3, 165, 10, 172, 30, 192, 79, 241, 33, 195, 11, 173)(6, 168, 19, 181, 52, 214, 113, 275, 55, 217, 20, 182)(9, 171, 27, 189, 72, 234, 140, 302, 74, 236, 28, 190)(12, 174, 34, 196, 57, 219, 21, 183, 56, 218, 35, 197)(13, 175, 37, 199, 53, 215, 115, 277, 93, 255, 38, 200)(15, 177, 43, 205, 100, 262, 139, 301, 71, 233, 44, 206)(16, 178, 45, 207, 83, 245, 32, 194, 82, 244, 46, 208)(18, 180, 49, 211, 106, 268, 152, 314, 108, 270, 50, 212)(22, 184, 59, 221, 31, 193, 81, 243, 127, 289, 60, 222)(24, 186, 65, 227, 134, 296, 151, 313, 105, 267, 66, 228)(25, 187, 67, 229, 117, 279, 54, 216, 116, 278, 68, 230)(29, 191, 75, 237, 107, 269, 153, 315, 143, 305, 76, 238)(36, 198, 70, 232, 125, 287, 159, 321, 136, 298, 90, 252)(39, 201, 80, 242, 119, 281, 86, 248, 145, 307, 94, 256)(40, 202, 96, 258, 137, 299, 154, 316, 149, 311, 97, 259)(42, 204, 98, 260, 135, 297, 158, 320, 123, 285, 77, 239)(47, 209, 104, 266, 150, 312, 156, 318, 112, 274, 88, 250)(48, 210, 91, 253, 147, 309, 102, 264, 124, 286, 58, 220)(51, 213, 109, 271, 73, 235, 141, 303, 155, 317, 110, 272)(61, 223, 114, 276, 85, 247, 120, 282, 157, 319, 128, 290)(62, 224, 130, 292, 103, 265, 142, 304, 161, 323, 131, 293)(64, 226, 132, 294, 101, 263, 146, 308, 89, 251, 111, 273)(69, 231, 138, 300, 162, 324, 144, 306, 78, 240, 122, 284)(84, 246, 126, 288, 160, 322, 133, 295, 95, 257, 121, 283)(87, 249, 118, 280, 92, 254, 148, 310, 99, 261, 129, 291)(325, 326)(327, 333)(328, 336)(329, 339)(330, 342)(331, 345)(332, 348)(334, 349)(335, 355)(337, 360)(338, 363)(340, 343)(341, 371)(344, 377)(346, 382)(347, 385)(350, 393)(351, 378)(352, 397)(353, 388)(354, 401)(356, 373)(357, 408)(358, 410)(359, 412)(361, 413)(362, 416)(364, 419)(365, 389)(366, 375)(367, 387)(368, 418)(369, 425)(370, 411)(372, 422)(374, 431)(376, 435)(379, 442)(380, 444)(381, 446)(383, 447)(384, 450)(386, 453)(390, 452)(391, 459)(392, 445)(394, 456)(395, 438)(396, 448)(398, 461)(399, 460)(400, 466)(402, 436)(403, 465)(404, 429)(405, 464)(406, 449)(407, 454)(409, 443)(414, 430)(415, 440)(417, 455)(420, 441)(421, 451)(423, 467)(424, 468)(426, 433)(427, 432)(428, 463)(434, 478)(437, 477)(439, 476)(457, 479)(458, 480)(462, 475)(469, 486)(470, 485)(471, 484)(472, 483)(473, 482)(474, 481)(487, 489)(488, 492)(490, 499)(491, 502)(493, 508)(494, 511)(495, 504)(496, 515)(497, 518)(498, 514)(500, 526)(501, 528)(503, 534)(505, 537)(506, 540)(507, 536)(509, 548)(510, 550)(512, 556)(513, 557)(516, 564)(517, 566)(519, 571)(520, 573)(521, 575)(522, 559)(523, 577)(524, 565)(525, 576)(527, 562)(529, 585)(530, 587)(531, 582)(532, 588)(533, 589)(535, 591)(538, 598)(539, 600)(541, 605)(542, 607)(543, 609)(544, 593)(545, 611)(546, 599)(547, 610)(549, 596)(551, 619)(552, 621)(553, 616)(554, 622)(555, 623)(558, 615)(560, 618)(561, 606)(563, 597)(567, 617)(568, 608)(569, 614)(570, 604)(572, 595)(574, 602)(578, 620)(579, 624)(580, 603)(581, 592)(583, 601)(584, 594)(586, 612)(590, 613)(625, 638)(626, 637)(627, 642)(628, 641)(629, 640)(630, 639)(631, 647)(632, 646)(633, 648)(634, 644)(635, 643)(636, 645)
	L = (1, 325)(2, 326)(3, 327)(4, 328)(5, 329)(6, 330)(7, 331)(8, 332)(9, 333)(10, 334)(11, 335)(12, 336)(13, 337)(14, 338)(15, 339)(16, 340)(17, 341)(18, 342)(19, 343)(20, 344)(21, 345)(22, 346)(23, 347)(24, 348)(25, 349)(26, 350)(27, 351)(28, 352)(29, 353)(30, 354)(31, 355)(32, 356)(33, 357)(34, 358)(35, 359)(36, 360)(37, 361)(38, 362)(39, 363)(40, 364)(41, 365)(42, 366)(43, 367)(44, 368)(45, 369)(46, 370)(47, 371)(48, 372)(49, 373)(50, 374)(51, 375)(52, 376)(53, 377)(54, 378)(55, 379)(56, 380)(57, 381)(58, 382)(59, 383)(60, 384)(61, 385)(62, 386)(63, 387)(64, 388)(65, 389)(66, 390)(67, 391)(68, 392)(69, 393)(70, 394)(71, 395)(72, 396)(73, 397)(74, 398)(75, 399)(76, 400)(77, 401)(78, 402)(79, 403)(80, 404)(81, 405)(82, 406)(83, 407)(84, 408)(85, 409)(86, 410)(87, 411)(88, 412)(89, 413)(90, 414)(91, 415)(92, 416)(93, 417)(94, 418)(95, 419)(96, 420)(97, 421)(98, 422)(99, 423)(100, 424)(101, 425)(102, 426)(103, 427)(104, 428)(105, 429)(106, 430)(107, 431)(108, 432)(109, 433)(110, 434)(111, 435)(112, 436)(113, 437)(114, 438)(115, 439)(116, 440)(117, 441)(118, 442)(119, 443)(120, 444)(121, 445)(122, 446)(123, 447)(124, 448)(125, 449)(126, 450)(127, 451)(128, 452)(129, 453)(130, 454)(131, 455)(132, 456)(133, 457)(134, 458)(135, 459)(136, 460)(137, 461)(138, 462)(139, 463)(140, 464)(141, 465)(142, 466)(143, 467)(144, 468)(145, 469)(146, 470)(147, 471)(148, 472)(149, 473)(150, 474)(151, 475)(152, 476)(153, 477)(154, 478)(155, 479)(156, 480)(157, 481)(158, 482)(159, 483)(160, 484)(161, 485)(162, 486)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 8, 8 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2755
Graph:: simple bipartite
	v = 189 e = 324 f = 81
	degree seq :: [ 2^162, 12^27 ]

E28.2755 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 6})
Quotient :: loop^2
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 20>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 40>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1)^3, Y3 * Y1 * Y3 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1, Y3 * Y2 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y2 * Y3 * Y2 * Y1 * Y3 * Y2 ]
Map::
	R = (1, 163, 325, 487, 4, 166, 328, 490)(2, 164, 326, 488, 6, 168, 330, 492)(3, 165, 327, 489, 8, 170, 332, 494)(5, 167, 329, 491, 12, 174, 336, 498)(7, 169, 331, 493, 15, 177, 339, 501)(9, 171, 333, 495, 19, 181, 343, 505)(10, 172, 334, 496, 21, 183, 345, 507)(11, 173, 335, 497, 22, 184, 346, 508)(13, 175, 337, 499, 26, 188, 350, 512)(14, 176, 338, 500, 28, 190, 352, 514)(16, 178, 340, 502, 32, 194, 356, 518)(17, 179, 341, 503, 34, 196, 358, 520)(18, 180, 342, 504, 36, 198, 360, 522)(20, 182, 344, 506, 39, 201, 363, 525)(23, 185, 347, 509, 45, 207, 369, 531)(24, 186, 348, 510, 47, 209, 371, 533)(25, 187, 349, 511, 49, 211, 373, 535)(27, 189, 351, 513, 52, 214, 376, 538)(29, 191, 353, 515, 56, 218, 380, 542)(30, 192, 354, 516, 58, 220, 382, 544)(31, 193, 355, 517, 60, 222, 384, 546)(33, 195, 357, 519, 63, 225, 387, 549)(35, 197, 359, 521, 65, 227, 389, 551)(37, 199, 361, 523, 67, 229, 391, 553)(38, 200, 362, 524, 69, 231, 393, 555)(40, 202, 364, 526, 72, 234, 396, 558)(41, 203, 365, 527, 73, 235, 397, 559)(42, 204, 366, 528, 75, 237, 399, 561)(43, 205, 367, 529, 77, 239, 401, 563)(44, 206, 368, 530, 79, 241, 403, 565)(46, 208, 370, 532, 82, 244, 406, 568)(48, 210, 372, 534, 84, 246, 408, 570)(50, 212, 374, 536, 86, 248, 410, 572)(51, 213, 375, 537, 88, 250, 412, 574)(53, 215, 377, 539, 91, 253, 415, 577)(54, 216, 378, 540, 92, 254, 416, 578)(55, 217, 379, 541, 94, 256, 418, 580)(57, 219, 381, 543, 96, 258, 420, 582)(59, 221, 383, 545, 98, 260, 422, 584)(61, 223, 385, 547, 100, 262, 424, 586)(62, 224, 386, 548, 85, 247, 409, 571)(64, 226, 388, 550, 102, 264, 426, 588)(66, 228, 390, 552, 81, 243, 405, 567)(68, 230, 392, 554, 101, 263, 425, 587)(70, 232, 394, 556, 97, 259, 421, 583)(71, 233, 395, 557, 90, 252, 414, 576)(74, 236, 398, 560, 113, 275, 437, 599)(76, 238, 400, 562, 115, 277, 439, 601)(78, 240, 402, 564, 117, 279, 441, 603)(80, 242, 404, 566, 119, 281, 443, 605)(83, 245, 407, 569, 121, 283, 445, 607)(87, 249, 411, 573, 120, 282, 444, 606)(89, 251, 413, 575, 116, 278, 440, 602)(93, 255, 417, 579, 131, 293, 455, 617)(95, 257, 419, 581, 118, 280, 442, 604)(99, 261, 423, 585, 114, 276, 438, 600)(103, 265, 427, 589, 134, 296, 458, 620)(104, 266, 428, 590, 128, 290, 452, 614)(105, 267, 429, 591, 132, 294, 456, 618)(106, 268, 430, 592, 138, 300, 462, 624)(107, 269, 431, 593, 139, 301, 463, 625)(108, 270, 432, 594, 140, 302, 464, 626)(109, 271, 433, 595, 123, 285, 447, 609)(110, 272, 434, 596, 141, 303, 465, 627)(111, 273, 435, 597, 142, 304, 466, 628)(112, 274, 436, 598, 143, 305, 467, 629)(122, 284, 446, 608, 146, 308, 470, 632)(124, 286, 448, 610, 144, 306, 468, 630)(125, 287, 449, 611, 150, 312, 474, 636)(126, 288, 450, 612, 151, 313, 475, 637)(127, 289, 451, 613, 152, 314, 476, 638)(129, 291, 453, 615, 153, 315, 477, 639)(130, 292, 454, 616, 154, 316, 478, 640)(133, 295, 457, 619, 147, 309, 471, 633)(135, 297, 459, 621, 145, 307, 469, 631)(136, 298, 460, 622, 155, 317, 479, 641)(137, 299, 461, 623, 149, 311, 473, 635)(148, 310, 472, 634, 159, 321, 483, 645)(156, 318, 480, 642, 162, 324, 486, 648)(157, 319, 481, 643, 161, 323, 485, 647)(158, 320, 482, 644, 160, 322, 484, 646)
	L = (1, 164)(2, 163)(3, 169)(4, 171)(5, 173)(6, 175)(7, 165)(8, 178)(9, 166)(10, 182)(11, 167)(12, 185)(13, 168)(14, 189)(15, 191)(16, 170)(17, 195)(18, 197)(19, 199)(20, 172)(21, 202)(22, 204)(23, 174)(24, 208)(25, 210)(26, 212)(27, 176)(28, 215)(29, 177)(30, 219)(31, 221)(32, 223)(33, 179)(34, 226)(35, 180)(36, 228)(37, 181)(38, 230)(39, 225)(40, 183)(41, 218)(42, 184)(43, 238)(44, 240)(45, 242)(46, 186)(47, 245)(48, 187)(49, 247)(50, 188)(51, 249)(52, 244)(53, 190)(54, 237)(55, 255)(56, 203)(57, 192)(58, 259)(59, 193)(60, 261)(61, 194)(62, 263)(63, 201)(64, 196)(65, 265)(66, 198)(67, 268)(68, 200)(69, 256)(70, 271)(71, 257)(72, 272)(73, 273)(74, 274)(75, 216)(76, 205)(77, 278)(78, 206)(79, 280)(80, 207)(81, 282)(82, 214)(83, 209)(84, 284)(85, 211)(86, 287)(87, 213)(88, 275)(89, 290)(90, 276)(91, 291)(92, 292)(93, 217)(94, 231)(95, 233)(96, 277)(97, 220)(98, 294)(99, 222)(100, 288)(101, 224)(102, 297)(103, 227)(104, 299)(105, 286)(106, 229)(107, 281)(108, 296)(109, 232)(110, 234)(111, 235)(112, 236)(113, 250)(114, 252)(115, 258)(116, 239)(117, 306)(118, 241)(119, 269)(120, 243)(121, 309)(122, 246)(123, 311)(124, 267)(125, 248)(126, 262)(127, 308)(128, 251)(129, 253)(130, 254)(131, 314)(132, 260)(133, 318)(134, 270)(135, 264)(136, 316)(137, 266)(138, 319)(139, 317)(140, 305)(141, 320)(142, 310)(143, 302)(144, 279)(145, 322)(146, 289)(147, 283)(148, 304)(149, 285)(150, 323)(151, 321)(152, 293)(153, 324)(154, 298)(155, 301)(156, 295)(157, 300)(158, 303)(159, 313)(160, 307)(161, 312)(162, 315)(325, 489)(326, 491)(327, 487)(328, 496)(329, 488)(330, 500)(331, 497)(332, 503)(333, 504)(334, 490)(335, 493)(336, 510)(337, 511)(338, 492)(339, 516)(340, 517)(341, 494)(342, 495)(343, 524)(344, 521)(345, 527)(346, 529)(347, 530)(348, 498)(349, 499)(350, 537)(351, 534)(352, 540)(353, 541)(354, 501)(355, 502)(356, 548)(357, 545)(358, 536)(359, 506)(360, 535)(361, 533)(362, 505)(363, 556)(364, 557)(365, 507)(366, 560)(367, 508)(368, 509)(369, 567)(370, 564)(371, 523)(372, 513)(373, 522)(374, 520)(375, 512)(376, 575)(377, 576)(378, 514)(379, 515)(380, 581)(381, 579)(382, 566)(383, 519)(384, 580)(385, 563)(386, 518)(387, 577)(388, 573)(389, 590)(390, 591)(391, 593)(392, 569)(393, 594)(394, 525)(395, 526)(396, 568)(397, 592)(398, 528)(399, 600)(400, 598)(401, 547)(402, 532)(403, 599)(404, 544)(405, 531)(406, 558)(407, 554)(408, 609)(409, 610)(410, 612)(411, 550)(412, 613)(413, 538)(414, 539)(415, 549)(416, 611)(417, 543)(418, 546)(419, 542)(420, 607)(421, 606)(422, 619)(423, 620)(424, 616)(425, 602)(426, 601)(427, 622)(428, 551)(429, 552)(430, 559)(431, 553)(432, 555)(433, 615)(434, 614)(435, 605)(436, 562)(437, 565)(438, 561)(439, 588)(440, 587)(441, 631)(442, 632)(443, 597)(444, 583)(445, 582)(446, 634)(447, 570)(448, 571)(449, 578)(450, 572)(451, 574)(452, 596)(453, 595)(454, 586)(455, 639)(456, 641)(457, 584)(458, 585)(459, 633)(460, 589)(461, 640)(462, 644)(463, 642)(464, 643)(465, 629)(466, 635)(467, 627)(468, 645)(469, 603)(470, 604)(471, 621)(472, 608)(473, 628)(474, 648)(475, 646)(476, 647)(477, 617)(478, 623)(479, 618)(480, 625)(481, 626)(482, 624)(483, 630)(484, 637)(485, 638)(486, 636)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2754
Transitivity :: VT+
Graph::
	v = 81 e = 324 f = 189
	degree seq :: [ 8^81 ]

E28.2756 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 6})
Quotient :: loop^2
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 20>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 40>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1 * Y2)^2, Y3^6, (Y2 * Y1)^3, Y3^-1 * Y1 * Y3 * Y1 * Y3^3 * Y1, Y3^-2 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1, Y3 * Y2 * Y3^-1 * Y2 * Y3^3 * Y2, Y2 * Y1 * Y3^2 * Y1 * Y2 * Y1 * Y3^-2 * Y1, Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3^-1 * Y1, Y2 * Y3 * Y2 * Y3 * Y2 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1, (Y3^2 * Y2 * Y3^-1 * Y1)^2 ]
Map::
	R = (1, 163, 325, 487, 4, 166, 328, 490, 14, 176, 338, 500, 41, 203, 365, 527, 17, 179, 341, 503, 5, 167, 329, 491)(2, 164, 326, 488, 7, 169, 331, 493, 23, 185, 347, 509, 63, 225, 387, 549, 26, 188, 350, 512, 8, 170, 332, 494)(3, 165, 327, 489, 10, 172, 334, 496, 30, 192, 354, 516, 79, 241, 403, 565, 33, 195, 357, 519, 11, 173, 335, 497)(6, 168, 330, 492, 19, 181, 343, 505, 52, 214, 376, 538, 113, 275, 437, 599, 55, 217, 379, 541, 20, 182, 344, 506)(9, 171, 333, 495, 27, 189, 351, 513, 72, 234, 396, 558, 140, 302, 464, 626, 74, 236, 398, 560, 28, 190, 352, 514)(12, 174, 336, 498, 34, 196, 358, 520, 57, 219, 381, 543, 21, 183, 345, 507, 56, 218, 380, 542, 35, 197, 359, 521)(13, 175, 337, 499, 37, 199, 361, 523, 53, 215, 377, 539, 115, 277, 439, 601, 93, 255, 417, 579, 38, 200, 362, 524)(15, 177, 339, 501, 43, 205, 367, 529, 100, 262, 424, 586, 139, 301, 463, 625, 71, 233, 395, 557, 44, 206, 368, 530)(16, 178, 340, 502, 45, 207, 369, 531, 83, 245, 407, 569, 32, 194, 356, 518, 82, 244, 406, 568, 46, 208, 370, 532)(18, 180, 342, 504, 49, 211, 373, 535, 106, 268, 430, 592, 152, 314, 476, 638, 108, 270, 432, 594, 50, 212, 374, 536)(22, 184, 346, 508, 59, 221, 383, 545, 31, 193, 355, 517, 81, 243, 405, 567, 127, 289, 451, 613, 60, 222, 384, 546)(24, 186, 348, 510, 65, 227, 389, 551, 134, 296, 458, 620, 151, 313, 475, 637, 105, 267, 429, 591, 66, 228, 390, 552)(25, 187, 349, 511, 67, 229, 391, 553, 117, 279, 441, 603, 54, 216, 378, 540, 116, 278, 440, 602, 68, 230, 392, 554)(29, 191, 353, 515, 75, 237, 399, 561, 107, 269, 431, 593, 153, 315, 477, 639, 143, 305, 467, 629, 76, 238, 400, 562)(36, 198, 360, 522, 70, 232, 394, 556, 125, 287, 449, 611, 159, 321, 483, 645, 136, 298, 460, 622, 90, 252, 414, 576)(39, 201, 363, 525, 80, 242, 404, 566, 119, 281, 443, 605, 86, 248, 410, 572, 145, 307, 469, 631, 94, 256, 418, 580)(40, 202, 364, 526, 96, 258, 420, 582, 137, 299, 461, 623, 154, 316, 478, 640, 149, 311, 473, 635, 97, 259, 421, 583)(42, 204, 366, 528, 98, 260, 422, 584, 135, 297, 459, 621, 158, 320, 482, 644, 123, 285, 447, 609, 77, 239, 401, 563)(47, 209, 371, 533, 104, 266, 428, 590, 150, 312, 474, 636, 156, 318, 480, 642, 112, 274, 436, 598, 88, 250, 412, 574)(48, 210, 372, 534, 91, 253, 415, 577, 147, 309, 471, 633, 102, 264, 426, 588, 124, 286, 448, 610, 58, 220, 382, 544)(51, 213, 375, 537, 109, 271, 433, 595, 73, 235, 397, 559, 141, 303, 465, 627, 155, 317, 479, 641, 110, 272, 434, 596)(61, 223, 385, 547, 114, 276, 438, 600, 85, 247, 409, 571, 120, 282, 444, 606, 157, 319, 481, 643, 128, 290, 452, 614)(62, 224, 386, 548, 130, 292, 454, 616, 103, 265, 427, 589, 142, 304, 466, 628, 161, 323, 485, 647, 131, 293, 455, 617)(64, 226, 388, 550, 132, 294, 456, 618, 101, 263, 425, 587, 146, 308, 470, 632, 89, 251, 413, 575, 111, 273, 435, 597)(69, 231, 393, 555, 138, 300, 462, 624, 162, 324, 486, 648, 144, 306, 468, 630, 78, 240, 402, 564, 122, 284, 446, 608)(84, 246, 408, 570, 126, 288, 450, 612, 160, 322, 484, 646, 133, 295, 457, 619, 95, 257, 419, 581, 121, 283, 445, 607)(87, 249, 411, 573, 118, 280, 442, 604, 92, 254, 416, 578, 148, 310, 472, 634, 99, 261, 423, 585, 129, 291, 453, 615)
	L = (1, 164)(2, 163)(3, 171)(4, 174)(5, 177)(6, 180)(7, 183)(8, 186)(9, 165)(10, 187)(11, 193)(12, 166)(13, 198)(14, 201)(15, 167)(16, 181)(17, 209)(18, 168)(19, 178)(20, 215)(21, 169)(22, 220)(23, 223)(24, 170)(25, 172)(26, 231)(27, 216)(28, 235)(29, 226)(30, 239)(31, 173)(32, 211)(33, 246)(34, 248)(35, 250)(36, 175)(37, 251)(38, 254)(39, 176)(40, 257)(41, 227)(42, 213)(43, 225)(44, 256)(45, 263)(46, 249)(47, 179)(48, 260)(49, 194)(50, 269)(51, 204)(52, 273)(53, 182)(54, 189)(55, 280)(56, 282)(57, 284)(58, 184)(59, 285)(60, 288)(61, 185)(62, 291)(63, 205)(64, 191)(65, 203)(66, 290)(67, 297)(68, 283)(69, 188)(70, 294)(71, 276)(72, 286)(73, 190)(74, 299)(75, 298)(76, 304)(77, 192)(78, 274)(79, 303)(80, 267)(81, 302)(82, 287)(83, 292)(84, 195)(85, 281)(86, 196)(87, 208)(88, 197)(89, 199)(90, 268)(91, 278)(92, 200)(93, 293)(94, 206)(95, 202)(96, 279)(97, 289)(98, 210)(99, 305)(100, 306)(101, 207)(102, 271)(103, 270)(104, 301)(105, 242)(106, 252)(107, 212)(108, 265)(109, 264)(110, 316)(111, 214)(112, 240)(113, 315)(114, 233)(115, 314)(116, 253)(117, 258)(118, 217)(119, 247)(120, 218)(121, 230)(122, 219)(123, 221)(124, 234)(125, 244)(126, 222)(127, 259)(128, 228)(129, 224)(130, 245)(131, 255)(132, 232)(133, 317)(134, 318)(135, 229)(136, 237)(137, 236)(138, 313)(139, 266)(140, 243)(141, 241)(142, 238)(143, 261)(144, 262)(145, 324)(146, 323)(147, 322)(148, 321)(149, 320)(150, 319)(151, 300)(152, 277)(153, 275)(154, 272)(155, 295)(156, 296)(157, 312)(158, 311)(159, 310)(160, 309)(161, 308)(162, 307)(325, 489)(326, 492)(327, 487)(328, 499)(329, 502)(330, 488)(331, 508)(332, 511)(333, 504)(334, 515)(335, 518)(336, 514)(337, 490)(338, 526)(339, 528)(340, 491)(341, 534)(342, 495)(343, 537)(344, 540)(345, 536)(346, 493)(347, 548)(348, 550)(349, 494)(350, 556)(351, 557)(352, 498)(353, 496)(354, 564)(355, 566)(356, 497)(357, 571)(358, 573)(359, 575)(360, 559)(361, 577)(362, 565)(363, 576)(364, 500)(365, 562)(366, 501)(367, 585)(368, 587)(369, 582)(370, 588)(371, 589)(372, 503)(373, 591)(374, 507)(375, 505)(376, 598)(377, 600)(378, 506)(379, 605)(380, 607)(381, 609)(382, 593)(383, 611)(384, 599)(385, 610)(386, 509)(387, 596)(388, 510)(389, 619)(390, 621)(391, 616)(392, 622)(393, 623)(394, 512)(395, 513)(396, 615)(397, 522)(398, 618)(399, 606)(400, 527)(401, 597)(402, 516)(403, 524)(404, 517)(405, 617)(406, 608)(407, 614)(408, 604)(409, 519)(410, 595)(411, 520)(412, 602)(413, 521)(414, 525)(415, 523)(416, 620)(417, 624)(418, 603)(419, 592)(420, 531)(421, 601)(422, 594)(423, 529)(424, 612)(425, 530)(426, 532)(427, 533)(428, 613)(429, 535)(430, 581)(431, 544)(432, 584)(433, 572)(434, 549)(435, 563)(436, 538)(437, 546)(438, 539)(439, 583)(440, 574)(441, 580)(442, 570)(443, 541)(444, 561)(445, 542)(446, 568)(447, 543)(448, 547)(449, 545)(450, 586)(451, 590)(452, 569)(453, 558)(454, 553)(455, 567)(456, 560)(457, 551)(458, 578)(459, 552)(460, 554)(461, 555)(462, 579)(463, 638)(464, 637)(465, 642)(466, 641)(467, 640)(468, 639)(469, 647)(470, 646)(471, 648)(472, 644)(473, 643)(474, 645)(475, 626)(476, 625)(477, 630)(478, 629)(479, 628)(480, 627)(481, 635)(482, 634)(483, 636)(484, 632)(485, 631)(486, 633)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.2753
Transitivity :: VT+
Graph::
	v = 27 e = 324 f = 243
	degree seq :: [ 24^27 ]

E28.2757 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 20>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 40>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (Y3^-1 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3^-1, Y1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y3^-1 * Y1 * Y2, Y3^2 * Y1 * Y2 * Y1 * Y3^-2 * Y1 * Y3^-1 * Y2 * Y1, Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y2 * Y1, (Y3^-1 * Y1)^6, (Y3 * Y1 * Y3^-1 * Y1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 163, 2, 164)(3, 165, 9, 171)(4, 166, 12, 174)(5, 167, 13, 175)(6, 168, 14, 176)(7, 169, 17, 179)(8, 170, 18, 180)(10, 172, 22, 184)(11, 173, 23, 185)(15, 177, 33, 195)(16, 178, 34, 196)(19, 181, 41, 203)(20, 182, 44, 206)(21, 183, 45, 207)(24, 186, 52, 214)(25, 187, 55, 217)(26, 188, 56, 218)(27, 189, 57, 219)(28, 190, 60, 222)(29, 191, 61, 223)(30, 192, 62, 224)(31, 193, 53, 215)(32, 194, 65, 227)(35, 197, 71, 233)(36, 198, 73, 235)(37, 199, 74, 236)(38, 200, 48, 210)(39, 201, 77, 239)(40, 202, 78, 240)(42, 204, 82, 244)(43, 205, 83, 245)(46, 208, 86, 248)(47, 209, 89, 251)(49, 211, 90, 252)(50, 212, 93, 255)(51, 213, 94, 256)(54, 216, 98, 260)(58, 220, 96, 258)(59, 221, 105, 267)(63, 225, 106, 268)(64, 226, 114, 276)(66, 228, 84, 246)(67, 229, 117, 279)(68, 230, 118, 280)(69, 231, 121, 283)(70, 232, 122, 284)(72, 234, 124, 286)(75, 237, 123, 285)(76, 238, 130, 292)(79, 241, 135, 297)(80, 242, 87, 249)(81, 243, 97, 259)(85, 247, 119, 281)(88, 250, 125, 287)(91, 253, 115, 277)(92, 254, 139, 301)(95, 257, 113, 275)(99, 261, 116, 278)(100, 262, 134, 296)(101, 263, 136, 298)(102, 264, 128, 290)(103, 265, 144, 306)(104, 266, 112, 274)(107, 269, 148, 310)(108, 270, 132, 294)(109, 271, 137, 299)(110, 272, 126, 288)(111, 273, 149, 311)(120, 282, 152, 314)(127, 289, 150, 312)(129, 291, 156, 318)(131, 293, 158, 320)(133, 295, 151, 313)(138, 300, 142, 304)(140, 302, 145, 307)(141, 303, 154, 316)(143, 305, 161, 323)(146, 308, 160, 322)(147, 309, 153, 315)(155, 317, 162, 324)(157, 319, 159, 321)(325, 487, 327, 489)(326, 488, 330, 492)(328, 490, 335, 497)(329, 491, 334, 496)(331, 493, 340, 502)(332, 494, 339, 501)(333, 495, 343, 505)(336, 498, 348, 510)(337, 499, 351, 513)(338, 500, 354, 516)(341, 503, 359, 521)(342, 504, 362, 524)(344, 506, 367, 529)(345, 507, 366, 528)(346, 508, 370, 532)(347, 509, 373, 535)(349, 511, 378, 540)(350, 512, 377, 539)(352, 514, 383, 545)(353, 515, 382, 544)(355, 517, 388, 550)(356, 518, 387, 549)(357, 519, 390, 552)(358, 520, 392, 554)(360, 522, 396, 558)(361, 523, 368, 530)(363, 525, 400, 562)(364, 526, 399, 561)(365, 527, 403, 565)(369, 531, 380, 542)(371, 533, 412, 574)(372, 534, 411, 573)(374, 536, 416, 578)(375, 537, 415, 577)(376, 538, 419, 581)(379, 541, 423, 585)(381, 543, 428, 590)(384, 546, 430, 592)(385, 547, 418, 580)(386, 548, 435, 597)(389, 551, 398, 560)(391, 553, 440, 602)(393, 555, 444, 606)(394, 556, 443, 605)(395, 557, 421, 583)(397, 559, 449, 611)(401, 563, 406, 568)(402, 564, 446, 608)(404, 566, 461, 623)(405, 567, 460, 622)(407, 569, 458, 620)(408, 570, 427, 589)(409, 571, 426, 588)(410, 572, 453, 615)(413, 575, 432, 594)(414, 576, 455, 617)(417, 579, 425, 587)(420, 582, 447, 609)(422, 584, 448, 610)(424, 586, 464, 626)(429, 591, 469, 631)(431, 593, 442, 604)(433, 595, 465, 627)(434, 596, 438, 600)(436, 598, 475, 637)(437, 599, 474, 636)(439, 601, 452, 614)(441, 603, 456, 618)(445, 607, 451, 613)(450, 612, 477, 639)(454, 616, 471, 633)(457, 619, 462, 624)(459, 621, 483, 645)(463, 625, 472, 634)(466, 628, 479, 641)(467, 629, 478, 640)(468, 630, 485, 647)(470, 632, 481, 643)(473, 635, 484, 646)(476, 638, 482, 644)(480, 642, 486, 648)
	L = (1, 328)(2, 331)(3, 334)(4, 329)(5, 325)(6, 339)(7, 332)(8, 326)(9, 344)(10, 335)(11, 327)(12, 349)(13, 352)(14, 355)(15, 340)(16, 330)(17, 360)(18, 363)(19, 366)(20, 345)(21, 333)(22, 371)(23, 374)(24, 377)(25, 350)(26, 336)(27, 382)(28, 353)(29, 337)(30, 387)(31, 356)(32, 338)(33, 391)(34, 393)(35, 368)(36, 361)(37, 341)(38, 399)(39, 364)(40, 342)(41, 404)(42, 367)(43, 343)(44, 396)(45, 408)(46, 411)(47, 372)(48, 346)(49, 415)(50, 375)(51, 347)(52, 420)(53, 378)(54, 348)(55, 424)(56, 426)(57, 357)(58, 383)(59, 351)(60, 431)(61, 433)(62, 436)(63, 388)(64, 354)(65, 410)(66, 428)(67, 381)(68, 443)(69, 394)(70, 358)(71, 447)(72, 359)(73, 450)(74, 452)(75, 400)(76, 362)(77, 455)(78, 457)(79, 460)(80, 405)(81, 365)(82, 441)(83, 462)(84, 409)(85, 369)(86, 439)(87, 412)(88, 370)(89, 442)(90, 406)(91, 416)(92, 373)(93, 464)(94, 438)(95, 395)(96, 421)(97, 376)(98, 466)(99, 417)(100, 425)(101, 379)(102, 427)(103, 380)(104, 440)(105, 470)(106, 413)(107, 432)(108, 384)(109, 434)(110, 385)(111, 474)(112, 437)(113, 386)(114, 465)(115, 389)(116, 390)(117, 414)(118, 430)(119, 444)(120, 392)(121, 477)(122, 407)(123, 419)(124, 478)(125, 445)(126, 451)(127, 397)(128, 453)(129, 398)(130, 481)(131, 456)(132, 401)(133, 458)(134, 402)(135, 482)(136, 461)(137, 403)(138, 446)(139, 484)(140, 423)(141, 418)(142, 467)(143, 422)(144, 473)(145, 454)(146, 471)(147, 429)(148, 468)(149, 472)(150, 475)(151, 435)(152, 483)(153, 449)(154, 479)(155, 448)(156, 459)(157, 469)(158, 480)(159, 486)(160, 485)(161, 463)(162, 476)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2758
Graph:: simple bipartite
	v = 162 e = 324 f = 108
	degree seq :: [ 4^162 ]

E28.2758 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 20>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 40>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^3, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (Y3 * Y2)^2, (R * Y3)^2, (Y1 * Y3)^2, Y2 * Y1 * Y3 * Y1 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y1^6, Y2 * Y1^2 * Y3 * Y2 * Y1^-2 * Y3, Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y3 * Y1^2, Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-2 * Y1^2 * Y3^-1, (Y1^2 * Y3^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 163, 2, 164, 7, 169, 21, 183, 19, 181, 5, 167)(3, 165, 11, 173, 31, 193, 79, 241, 39, 201, 13, 175)(4, 166, 15, 177, 41, 203, 95, 257, 45, 207, 16, 178)(6, 168, 20, 182, 53, 215, 76, 238, 29, 191, 9, 171)(8, 170, 25, 187, 64, 226, 32, 194, 72, 234, 27, 189)(10, 172, 30, 192, 77, 239, 126, 288, 62, 224, 23, 185)(12, 174, 35, 197, 87, 249, 138, 300, 90, 252, 36, 198)(14, 176, 40, 202, 61, 223, 123, 285, 85, 247, 33, 195)(17, 179, 46, 208, 103, 265, 151, 313, 99, 261, 47, 209)(18, 180, 49, 211, 107, 269, 153, 315, 108, 270, 50, 212)(22, 184, 58, 220, 117, 279, 65, 227, 122, 284, 60, 222)(24, 186, 63, 225, 102, 264, 150, 312, 115, 277, 56, 218)(26, 188, 68, 230, 43, 205, 98, 260, 135, 297, 69, 231)(28, 190, 73, 235, 114, 276, 104, 266, 48, 210, 66, 228)(34, 196, 86, 248, 137, 299, 157, 319, 132, 294, 81, 243)(37, 199, 55, 217, 112, 274, 155, 317, 118, 280, 91, 253)(38, 200, 78, 240, 121, 283, 159, 321, 133, 295, 93, 255)(42, 204, 97, 259, 148, 310, 94, 256, 129, 291, 67, 229)(44, 206, 100, 262, 125, 287, 161, 323, 144, 306, 80, 242)(51, 213, 109, 271, 154, 316, 156, 318, 136, 298, 70, 232)(52, 214, 57, 219, 116, 278, 142, 304, 111, 273, 110, 272)(54, 216, 71, 233, 127, 289, 88, 250, 147, 309, 106, 268)(59, 221, 119, 281, 74, 236, 139, 301, 160, 322, 120, 282)(75, 237, 140, 302, 158, 320, 149, 311, 96, 258, 128, 290)(82, 244, 131, 293, 101, 263, 134, 296, 162, 324, 143, 305)(83, 245, 130, 292, 89, 251, 141, 303, 152, 314, 145, 307)(84, 246, 146, 308, 105, 267, 113, 275, 92, 254, 124, 286)(325, 487, 327, 489)(326, 488, 332, 494)(328, 490, 338, 500)(329, 491, 341, 503)(330, 492, 336, 498)(331, 493, 346, 508)(333, 495, 352, 514)(334, 496, 350, 512)(335, 497, 356, 518)(337, 499, 361, 523)(339, 501, 366, 528)(340, 502, 367, 529)(342, 504, 372, 534)(343, 505, 375, 537)(344, 506, 378, 540)(345, 507, 379, 541)(347, 509, 385, 547)(348, 510, 383, 545)(349, 511, 389, 551)(351, 513, 394, 556)(353, 515, 398, 560)(354, 516, 402, 564)(355, 517, 404, 566)(357, 519, 408, 570)(358, 520, 407, 569)(359, 521, 412, 574)(360, 522, 413, 575)(362, 524, 416, 578)(363, 525, 399, 561)(364, 526, 418, 580)(365, 527, 417, 579)(368, 530, 423, 585)(369, 531, 425, 587)(370, 532, 403, 565)(371, 533, 384, 546)(373, 535, 410, 572)(374, 536, 411, 573)(376, 538, 409, 571)(377, 539, 405, 567)(380, 542, 438, 600)(381, 543, 437, 599)(382, 544, 442, 604)(386, 548, 448, 610)(387, 549, 451, 613)(388, 550, 452, 614)(390, 552, 456, 618)(391, 553, 455, 617)(392, 554, 457, 619)(393, 555, 458, 620)(395, 557, 461, 623)(396, 558, 449, 611)(397, 559, 462, 624)(400, 562, 465, 627)(401, 563, 453, 615)(406, 568, 435, 597)(414, 576, 426, 588)(415, 577, 468, 630)(419, 581, 470, 632)(420, 582, 460, 622)(421, 583, 445, 607)(422, 584, 447, 609)(424, 586, 441, 603)(427, 589, 473, 635)(428, 590, 463, 625)(429, 591, 467, 629)(430, 592, 443, 605)(431, 593, 471, 633)(432, 594, 454, 616)(433, 595, 475, 637)(434, 596, 472, 634)(436, 598, 480, 642)(439, 601, 481, 643)(440, 602, 483, 645)(444, 606, 476, 638)(446, 608, 482, 644)(450, 612, 486, 648)(459, 621, 466, 628)(464, 626, 479, 641)(469, 631, 474, 636)(477, 639, 484, 646)(478, 640, 485, 647)
	L = (1, 328)(2, 333)(3, 336)(4, 330)(5, 342)(6, 325)(7, 347)(8, 350)(9, 334)(10, 326)(11, 357)(12, 338)(13, 362)(14, 327)(15, 329)(16, 368)(17, 366)(18, 339)(19, 376)(20, 340)(21, 380)(22, 383)(23, 348)(24, 331)(25, 390)(26, 352)(27, 395)(28, 332)(29, 399)(30, 353)(31, 405)(32, 407)(33, 358)(34, 335)(35, 337)(36, 382)(37, 412)(38, 359)(39, 398)(40, 360)(41, 374)(42, 372)(43, 378)(44, 344)(45, 426)(46, 428)(47, 430)(48, 341)(49, 343)(50, 420)(51, 410)(52, 373)(53, 404)(54, 423)(55, 437)(56, 381)(57, 345)(58, 364)(59, 385)(60, 445)(61, 346)(62, 449)(63, 386)(64, 453)(65, 455)(66, 391)(67, 349)(68, 351)(69, 436)(70, 457)(71, 392)(72, 448)(73, 393)(74, 402)(75, 354)(76, 466)(77, 452)(78, 363)(79, 467)(80, 435)(81, 406)(82, 355)(83, 408)(84, 356)(85, 375)(86, 409)(87, 417)(88, 416)(89, 418)(90, 425)(91, 472)(92, 361)(93, 460)(94, 442)(95, 473)(96, 365)(97, 371)(98, 475)(99, 367)(100, 369)(101, 441)(102, 424)(103, 470)(104, 429)(105, 370)(106, 421)(107, 434)(108, 401)(109, 447)(110, 468)(111, 377)(112, 397)(113, 438)(114, 379)(115, 482)(116, 439)(117, 414)(118, 413)(119, 384)(120, 433)(121, 443)(122, 481)(123, 444)(124, 451)(125, 387)(126, 477)(127, 396)(128, 432)(129, 454)(130, 388)(131, 456)(132, 389)(133, 461)(134, 462)(135, 465)(136, 411)(137, 394)(138, 480)(139, 403)(140, 400)(141, 479)(142, 464)(143, 463)(144, 431)(145, 427)(146, 469)(147, 415)(148, 471)(149, 474)(150, 419)(151, 476)(152, 422)(153, 485)(154, 484)(155, 459)(156, 458)(157, 483)(158, 440)(159, 446)(160, 486)(161, 450)(162, 478)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2757
Graph:: simple bipartite
	v = 108 e = 324 f = 162
	degree seq :: [ 4^81, 12^27 ]

E28.2759 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: halfedge^2
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 21>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y2)^3, (Y3 * Y1)^3, (Y2 * Y1)^3, (Y1 * Y2 * Y3)^6 ]
Map:: polytopal non-degenerate
	R = (1, 164, 2, 163)(3, 169, 7, 165)(4, 171, 9, 166)(5, 173, 11, 167)(6, 175, 13, 168)(8, 178, 16, 170)(10, 181, 19, 172)(12, 183, 21, 174)(14, 186, 24, 176)(15, 187, 25, 177)(17, 190, 28, 179)(18, 191, 29, 180)(20, 194, 32, 182)(22, 197, 35, 184)(23, 198, 36, 185)(26, 202, 40, 188)(27, 203, 41, 189)(30, 207, 45, 192)(31, 205, 43, 193)(33, 210, 48, 195)(34, 211, 49, 196)(37, 215, 53, 199)(38, 213, 51, 200)(39, 217, 55, 201)(42, 221, 59, 204)(44, 223, 61, 206)(46, 226, 64, 208)(47, 227, 65, 209)(50, 231, 69, 212)(52, 233, 71, 214)(54, 236, 74, 216)(56, 238, 76, 218)(57, 229, 67, 219)(58, 240, 78, 220)(60, 243, 81, 222)(62, 245, 83, 224)(63, 235, 73, 225)(66, 249, 87, 228)(68, 251, 89, 230)(70, 254, 92, 232)(72, 256, 94, 234)(75, 259, 97, 237)(77, 262, 100, 239)(79, 264, 102, 241)(80, 261, 99, 242)(82, 267, 105, 244)(84, 270, 108, 246)(85, 269, 107, 247)(86, 272, 110, 248)(88, 275, 113, 250)(90, 277, 115, 252)(91, 274, 112, 253)(93, 280, 118, 255)(95, 283, 121, 257)(96, 282, 120, 258)(98, 286, 124, 260)(101, 289, 127, 263)(103, 284, 122, 265)(104, 291, 129, 266)(106, 294, 132, 268)(109, 278, 116, 271)(111, 297, 135, 273)(114, 300, 138, 276)(117, 302, 140, 279)(119, 305, 143, 281)(123, 307, 145, 285)(125, 303, 141, 287)(126, 309, 147, 288)(128, 306, 144, 290)(130, 298, 136, 292)(131, 312, 150, 293)(133, 301, 139, 295)(134, 314, 152, 296)(137, 316, 154, 299)(142, 319, 157, 304)(146, 318, 156, 308)(148, 320, 158, 310)(149, 315, 153, 311)(151, 317, 155, 313)(159, 324, 162, 321)(160, 323, 161, 322)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 11)(8, 17)(9, 18)(12, 22)(13, 23)(15, 26)(16, 27)(19, 29)(20, 33)(21, 34)(24, 36)(25, 39)(28, 41)(30, 37)(31, 46)(32, 47)(35, 49)(38, 54)(40, 55)(42, 56)(43, 60)(44, 62)(45, 63)(48, 65)(50, 66)(51, 70)(52, 72)(53, 73)(57, 77)(58, 79)(59, 80)(61, 82)(64, 81)(67, 88)(68, 90)(69, 91)(71, 93)(74, 92)(75, 98)(76, 99)(78, 101)(83, 105)(84, 106)(85, 109)(86, 111)(87, 112)(89, 114)(94, 118)(95, 119)(96, 122)(97, 123)(100, 113)(102, 127)(103, 128)(104, 130)(107, 133)(108, 126)(110, 134)(115, 138)(116, 139)(117, 141)(120, 144)(121, 137)(124, 145)(125, 146)(129, 149)(131, 151)(132, 147)(135, 152)(136, 153)(140, 156)(142, 158)(143, 154)(148, 160)(150, 159)(155, 162)(157, 161)(163, 166)(164, 168)(165, 170)(167, 174)(169, 177)(171, 175)(172, 179)(173, 182)(176, 184)(178, 187)(180, 192)(181, 193)(183, 194)(185, 199)(186, 200)(188, 195)(189, 204)(190, 205)(191, 206)(196, 212)(197, 213)(198, 214)(201, 218)(202, 219)(203, 220)(207, 223)(208, 224)(209, 228)(210, 229)(211, 230)(215, 233)(216, 234)(217, 237)(221, 240)(222, 241)(225, 246)(226, 247)(227, 248)(231, 251)(232, 252)(235, 257)(236, 258)(238, 259)(239, 260)(242, 265)(243, 266)(244, 268)(245, 269)(249, 272)(250, 273)(253, 278)(254, 279)(255, 281)(256, 282)(261, 287)(262, 288)(263, 290)(264, 291)(267, 293)(270, 283)(271, 292)(274, 298)(275, 299)(276, 301)(277, 302)(280, 304)(284, 303)(285, 308)(286, 309)(289, 310)(294, 312)(295, 313)(296, 315)(297, 316)(300, 317)(305, 319)(306, 320)(307, 321)(311, 322)(314, 323)(318, 324)
	local type(s) :: { ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E28.2760
Transitivity :: VT+ AT
Graph:: simple
	v = 81 e = 162 f = 27
	degree seq :: [ 4^81 ]

E28.2760 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: halfedge^2
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 21>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, (Y2 * Y1^-1)^3, (Y3 * Y1^-1)^3, (Y2 * Y3 * Y1^-1)^2, (Y3 * Y2)^3, Y1^6, Y3 * Y1 * Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y1, Y3 * Y1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y2, (Y3 * Y1^2 * Y2 * Y1^-1)^2, (Y2 * Y1^-3)^3 ]
Map:: polytopal non-degenerate
	R = (1, 164, 2, 168, 6, 180, 18, 179, 17, 167, 5, 163)(3, 171, 9, 189, 27, 225, 63, 195, 33, 173, 11, 165)(4, 174, 12, 196, 34, 237, 75, 201, 39, 176, 14, 166)(7, 183, 21, 215, 53, 268, 106, 220, 58, 185, 23, 169)(8, 186, 24, 221, 59, 275, 113, 224, 62, 188, 26, 170)(10, 192, 30, 230, 68, 279, 117, 223, 61, 187, 25, 172)(13, 199, 37, 242, 80, 298, 136, 243, 81, 200, 38, 175)(15, 202, 40, 245, 83, 285, 123, 228, 66, 190, 28, 177)(16, 203, 41, 246, 84, 289, 127, 231, 69, 198, 36, 178)(19, 209, 47, 259, 97, 309, 147, 264, 102, 211, 49, 181)(20, 212, 50, 265, 103, 312, 150, 267, 105, 214, 52, 182)(22, 217, 55, 270, 108, 313, 151, 266, 104, 213, 51, 184)(29, 218, 56, 260, 98, 304, 142, 286, 124, 229, 67, 191)(31, 216, 54, 262, 100, 302, 140, 290, 128, 233, 71, 193)(32, 234, 72, 263, 101, 241, 79, 197, 35, 232, 70, 194)(42, 249, 87, 297, 135, 311, 149, 276, 114, 227, 65, 204)(43, 250, 88, 299, 137, 315, 153, 288, 126, 240, 78, 205)(44, 251, 89, 300, 138, 320, 158, 283, 121, 248, 86, 206)(45, 253, 91, 301, 139, 281, 119, 305, 143, 255, 93, 207)(46, 256, 94, 306, 144, 294, 132, 308, 146, 258, 96, 208)(48, 261, 99, 236, 74, 291, 129, 307, 145, 257, 95, 210)(57, 272, 110, 247, 85, 278, 116, 222, 60, 271, 109, 219)(64, 277, 115, 244, 82, 273, 111, 314, 152, 284, 122, 226)(73, 280, 118, 310, 148, 296, 134, 239, 77, 269, 107, 235)(76, 295, 133, 252, 90, 254, 92, 303, 141, 274, 112, 238)(120, 317, 155, 293, 131, 318, 156, 324, 162, 321, 159, 282)(125, 316, 154, 292, 130, 319, 157, 323, 161, 322, 160, 287)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 28)(10, 31)(11, 21)(12, 35)(14, 29)(16, 42)(17, 43)(18, 45)(20, 51)(22, 56)(23, 47)(24, 60)(26, 54)(27, 64)(30, 69)(32, 50)(33, 73)(34, 76)(36, 71)(37, 67)(38, 70)(39, 55)(40, 78)(41, 85)(44, 90)(46, 95)(48, 100)(49, 91)(52, 98)(53, 107)(57, 94)(58, 111)(59, 114)(61, 109)(62, 99)(63, 119)(65, 116)(66, 115)(68, 125)(72, 104)(74, 130)(75, 131)(77, 126)(79, 133)(80, 121)(81, 103)(82, 97)(83, 134)(84, 129)(86, 124)(87, 128)(88, 93)(89, 101)(92, 142)(96, 140)(102, 148)(105, 141)(106, 153)(108, 155)(110, 145)(112, 156)(113, 157)(117, 144)(118, 139)(120, 158)(122, 143)(123, 147)(127, 154)(132, 160)(135, 146)(136, 159)(137, 152)(138, 151)(149, 161)(150, 162)(163, 166)(164, 170)(165, 172)(167, 178)(168, 182)(169, 184)(171, 191)(173, 194)(174, 198)(175, 193)(176, 186)(177, 199)(179, 206)(180, 208)(181, 210)(183, 216)(185, 219)(187, 218)(188, 212)(189, 227)(190, 222)(192, 232)(195, 236)(196, 239)(197, 240)(200, 215)(201, 244)(202, 233)(203, 248)(204, 229)(205, 249)(207, 254)(209, 260)(211, 263)(213, 262)(214, 256)(217, 271)(220, 274)(221, 277)(223, 259)(224, 280)(225, 282)(226, 283)(228, 270)(230, 288)(231, 269)(234, 261)(235, 265)(237, 294)(238, 287)(241, 297)(242, 278)(243, 292)(245, 295)(246, 284)(247, 255)(250, 286)(251, 258)(252, 290)(253, 302)(257, 304)(264, 311)(266, 301)(267, 314)(268, 316)(272, 303)(273, 306)(275, 320)(276, 317)(279, 318)(281, 319)(285, 322)(289, 312)(291, 321)(293, 309)(296, 308)(298, 305)(299, 307)(300, 310)(313, 323)(315, 324)
	local type(s) :: { ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2759
Transitivity :: VT+ AT
Graph:: simple
	v = 27 e = 162 f = 81
	degree seq :: [ 12^27 ]

E28.2761 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: edge^2
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 21>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y3 * Y2)^3, (Y3 * Y1)^3, (Y2 * Y1)^3, (Y1 * Y3 * Y2)^6 ]
Map:: polytopal
	R = (1, 163, 4, 166)(2, 164, 6, 168)(3, 165, 8, 170)(5, 167, 12, 174)(7, 169, 15, 177)(9, 171, 13, 175)(10, 172, 17, 179)(11, 173, 20, 182)(14, 176, 22, 184)(16, 178, 25, 187)(18, 180, 30, 192)(19, 181, 31, 193)(21, 183, 32, 194)(23, 185, 37, 199)(24, 186, 38, 200)(26, 188, 33, 195)(27, 189, 42, 204)(28, 190, 43, 205)(29, 191, 44, 206)(34, 196, 50, 212)(35, 197, 51, 213)(36, 198, 52, 214)(39, 201, 56, 218)(40, 202, 57, 219)(41, 203, 58, 220)(45, 207, 61, 223)(46, 208, 62, 224)(47, 209, 66, 228)(48, 210, 67, 229)(49, 211, 68, 230)(53, 215, 71, 233)(54, 216, 72, 234)(55, 217, 75, 237)(59, 221, 78, 240)(60, 222, 79, 241)(63, 225, 84, 246)(64, 226, 85, 247)(65, 227, 86, 248)(69, 231, 89, 251)(70, 232, 90, 252)(73, 235, 95, 257)(74, 236, 96, 258)(76, 238, 97, 259)(77, 239, 98, 260)(80, 242, 103, 265)(81, 243, 104, 266)(82, 244, 106, 268)(83, 245, 107, 269)(87, 249, 110, 272)(88, 250, 111, 273)(91, 253, 116, 278)(92, 254, 117, 279)(93, 255, 119, 281)(94, 256, 120, 282)(99, 261, 125, 287)(100, 262, 126, 288)(101, 263, 128, 290)(102, 264, 129, 291)(105, 267, 131, 293)(108, 270, 121, 283)(109, 271, 130, 292)(112, 274, 136, 298)(113, 275, 137, 299)(114, 276, 139, 301)(115, 277, 140, 302)(118, 280, 142, 304)(122, 284, 141, 303)(123, 285, 146, 308)(124, 286, 147, 309)(127, 289, 148, 310)(132, 294, 150, 312)(133, 295, 151, 313)(134, 296, 153, 315)(135, 297, 154, 316)(138, 300, 155, 317)(143, 305, 157, 319)(144, 306, 158, 320)(145, 307, 159, 321)(149, 311, 160, 322)(152, 314, 161, 323)(156, 318, 162, 324)(325, 326)(327, 331)(328, 333)(329, 335)(330, 337)(332, 340)(334, 343)(336, 345)(338, 348)(339, 349)(341, 352)(342, 353)(344, 356)(346, 359)(347, 360)(350, 364)(351, 365)(354, 369)(355, 367)(357, 372)(358, 373)(361, 377)(362, 375)(363, 379)(366, 383)(368, 385)(370, 388)(371, 389)(374, 393)(376, 395)(378, 398)(380, 400)(381, 391)(382, 402)(384, 405)(386, 407)(387, 397)(390, 411)(392, 413)(394, 416)(396, 418)(399, 421)(401, 424)(403, 426)(404, 423)(406, 429)(408, 432)(409, 431)(410, 434)(412, 437)(414, 439)(415, 436)(417, 442)(419, 445)(420, 444)(422, 448)(425, 451)(427, 446)(428, 453)(430, 456)(433, 440)(435, 459)(438, 462)(441, 464)(443, 467)(447, 469)(449, 465)(450, 471)(452, 468)(454, 460)(455, 474)(457, 463)(458, 476)(461, 478)(466, 481)(470, 480)(472, 482)(473, 477)(475, 479)(483, 486)(484, 485)(487, 489)(488, 491)(490, 496)(492, 500)(493, 497)(494, 503)(495, 504)(498, 508)(499, 509)(501, 512)(502, 513)(505, 515)(506, 519)(507, 520)(510, 522)(511, 525)(514, 527)(516, 523)(517, 532)(518, 533)(521, 535)(524, 540)(526, 541)(528, 542)(529, 546)(530, 548)(531, 549)(534, 551)(536, 552)(537, 556)(538, 558)(539, 559)(543, 563)(544, 565)(545, 566)(547, 568)(550, 567)(553, 574)(554, 576)(555, 577)(557, 579)(560, 578)(561, 584)(562, 585)(564, 587)(569, 591)(570, 592)(571, 595)(572, 597)(573, 598)(575, 600)(580, 604)(581, 605)(582, 608)(583, 609)(586, 599)(588, 613)(589, 614)(590, 616)(593, 619)(594, 612)(596, 620)(601, 624)(602, 625)(603, 627)(606, 630)(607, 623)(610, 631)(611, 632)(615, 635)(617, 637)(618, 633)(621, 638)(622, 639)(626, 642)(628, 644)(629, 640)(634, 646)(636, 645)(641, 648)(643, 647)
	L = (1, 325)(2, 326)(3, 327)(4, 328)(5, 329)(6, 330)(7, 331)(8, 332)(9, 333)(10, 334)(11, 335)(12, 336)(13, 337)(14, 338)(15, 339)(16, 340)(17, 341)(18, 342)(19, 343)(20, 344)(21, 345)(22, 346)(23, 347)(24, 348)(25, 349)(26, 350)(27, 351)(28, 352)(29, 353)(30, 354)(31, 355)(32, 356)(33, 357)(34, 358)(35, 359)(36, 360)(37, 361)(38, 362)(39, 363)(40, 364)(41, 365)(42, 366)(43, 367)(44, 368)(45, 369)(46, 370)(47, 371)(48, 372)(49, 373)(50, 374)(51, 375)(52, 376)(53, 377)(54, 378)(55, 379)(56, 380)(57, 381)(58, 382)(59, 383)(60, 384)(61, 385)(62, 386)(63, 387)(64, 388)(65, 389)(66, 390)(67, 391)(68, 392)(69, 393)(70, 394)(71, 395)(72, 396)(73, 397)(74, 398)(75, 399)(76, 400)(77, 401)(78, 402)(79, 403)(80, 404)(81, 405)(82, 406)(83, 407)(84, 408)(85, 409)(86, 410)(87, 411)(88, 412)(89, 413)(90, 414)(91, 415)(92, 416)(93, 417)(94, 418)(95, 419)(96, 420)(97, 421)(98, 422)(99, 423)(100, 424)(101, 425)(102, 426)(103, 427)(104, 428)(105, 429)(106, 430)(107, 431)(108, 432)(109, 433)(110, 434)(111, 435)(112, 436)(113, 437)(114, 438)(115, 439)(116, 440)(117, 441)(118, 442)(119, 443)(120, 444)(121, 445)(122, 446)(123, 447)(124, 448)(125, 449)(126, 450)(127, 451)(128, 452)(129, 453)(130, 454)(131, 455)(132, 456)(133, 457)(134, 458)(135, 459)(136, 460)(137, 461)(138, 462)(139, 463)(140, 464)(141, 465)(142, 466)(143, 467)(144, 468)(145, 469)(146, 470)(147, 471)(148, 472)(149, 473)(150, 474)(151, 475)(152, 476)(153, 477)(154, 478)(155, 479)(156, 480)(157, 481)(158, 482)(159, 483)(160, 484)(161, 485)(162, 486)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 24, 24 ), ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E28.2764
Graph:: simple bipartite
	v = 243 e = 324 f = 27
	degree seq :: [ 2^162, 4^81 ]

E28.2762 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: edge^2
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 21>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y1 * Y3)^3, (Y2 * Y3)^3, (Y1 * Y3^-1 * Y2)^2, Y3^6, (Y1 * Y2)^3, Y1 * Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y2 * Y3, (Y3^-1 * Y1 * Y3^2 * Y2)^2 ]
Map:: polytopal
	R = (1, 163, 4, 166, 14, 176, 39, 201, 17, 179, 5, 167)(2, 164, 7, 169, 23, 185, 57, 219, 26, 188, 8, 170)(3, 165, 10, 172, 30, 192, 68, 230, 33, 195, 11, 173)(6, 168, 19, 181, 48, 210, 96, 258, 51, 213, 20, 182)(9, 171, 27, 189, 63, 225, 119, 281, 64, 226, 28, 190)(12, 174, 24, 186, 59, 221, 114, 276, 73, 235, 34, 196)(13, 175, 32, 194, 49, 211, 98, 260, 77, 239, 36, 198)(15, 177, 41, 203, 86, 248, 101, 263, 52, 214, 21, 183)(16, 178, 42, 204, 87, 249, 120, 282, 65, 227, 29, 191)(18, 180, 45, 207, 91, 253, 139, 301, 92, 254, 46, 208)(22, 184, 50, 212, 31, 193, 70, 232, 105, 267, 54, 216)(25, 187, 60, 222, 115, 277, 140, 302, 93, 255, 47, 209)(35, 197, 62, 224, 118, 280, 158, 320, 125, 287, 74, 236)(37, 199, 69, 231, 100, 262, 147, 309, 130, 292, 78, 240)(38, 200, 76, 238, 116, 278, 155, 317, 133, 295, 80, 242)(40, 202, 83, 245, 103, 265, 149, 311, 113, 275, 66, 228)(43, 205, 89, 251, 137, 299, 141, 303, 95, 257, 84, 246)(44, 206, 90, 252, 138, 300, 145, 307, 102, 264, 53, 215)(55, 217, 97, 259, 72, 234, 127, 289, 150, 312, 106, 268)(56, 218, 104, 266, 88, 250, 135, 297, 153, 315, 108, 270)(58, 220, 111, 273, 75, 237, 129, 291, 85, 247, 94, 256)(61, 223, 117, 279, 157, 319, 121, 283, 67, 229, 112, 274)(71, 233, 126, 288, 160, 322, 131, 293, 79, 241, 124, 286)(81, 243, 128, 290, 154, 316, 109, 271, 148, 310, 134, 296)(82, 244, 132, 294, 159, 321, 123, 285, 142, 304, 136, 298)(99, 261, 146, 308, 162, 324, 151, 313, 107, 269, 144, 306)(110, 272, 152, 314, 161, 323, 143, 305, 122, 284, 156, 318)(325, 326)(327, 333)(328, 336)(329, 339)(330, 342)(331, 345)(332, 348)(334, 349)(335, 355)(337, 359)(338, 361)(340, 343)(341, 367)(344, 373)(346, 377)(347, 379)(350, 385)(351, 374)(352, 384)(353, 382)(354, 390)(356, 369)(357, 395)(358, 393)(360, 399)(362, 403)(363, 405)(364, 371)(365, 408)(366, 370)(368, 407)(372, 418)(375, 423)(376, 421)(378, 427)(380, 431)(381, 433)(383, 436)(386, 435)(387, 426)(388, 440)(389, 442)(391, 419)(392, 446)(394, 448)(396, 424)(397, 451)(398, 415)(400, 439)(401, 432)(402, 452)(404, 429)(406, 459)(409, 460)(410, 445)(411, 428)(412, 416)(413, 458)(414, 417)(420, 466)(422, 468)(425, 471)(430, 472)(434, 479)(437, 480)(438, 465)(441, 478)(443, 476)(444, 475)(447, 470)(449, 483)(450, 467)(453, 477)(454, 481)(455, 464)(456, 463)(457, 473)(461, 474)(462, 484)(469, 485)(482, 486)(487, 489)(488, 492)(490, 499)(491, 502)(493, 508)(494, 511)(495, 504)(496, 515)(497, 518)(498, 514)(500, 524)(501, 526)(503, 530)(505, 533)(506, 536)(507, 532)(509, 542)(510, 544)(512, 548)(513, 538)(516, 553)(517, 555)(519, 558)(520, 531)(521, 546)(522, 562)(523, 560)(525, 568)(527, 571)(528, 539)(529, 574)(534, 581)(535, 583)(537, 586)(540, 590)(541, 588)(543, 596)(545, 599)(547, 602)(549, 593)(550, 597)(551, 598)(552, 580)(554, 609)(556, 611)(557, 585)(559, 610)(561, 614)(563, 603)(564, 601)(565, 577)(566, 618)(567, 617)(569, 578)(570, 579)(572, 612)(573, 592)(575, 591)(576, 622)(582, 629)(584, 631)(587, 630)(589, 634)(594, 638)(595, 637)(600, 632)(604, 642)(605, 640)(606, 641)(607, 628)(608, 627)(613, 645)(615, 646)(616, 639)(619, 636)(620, 625)(621, 626)(623, 644)(624, 643)(633, 647)(635, 648)
	L = (1, 325)(2, 326)(3, 327)(4, 328)(5, 329)(6, 330)(7, 331)(8, 332)(9, 333)(10, 334)(11, 335)(12, 336)(13, 337)(14, 338)(15, 339)(16, 340)(17, 341)(18, 342)(19, 343)(20, 344)(21, 345)(22, 346)(23, 347)(24, 348)(25, 349)(26, 350)(27, 351)(28, 352)(29, 353)(30, 354)(31, 355)(32, 356)(33, 357)(34, 358)(35, 359)(36, 360)(37, 361)(38, 362)(39, 363)(40, 364)(41, 365)(42, 366)(43, 367)(44, 368)(45, 369)(46, 370)(47, 371)(48, 372)(49, 373)(50, 374)(51, 375)(52, 376)(53, 377)(54, 378)(55, 379)(56, 380)(57, 381)(58, 382)(59, 383)(60, 384)(61, 385)(62, 386)(63, 387)(64, 388)(65, 389)(66, 390)(67, 391)(68, 392)(69, 393)(70, 394)(71, 395)(72, 396)(73, 397)(74, 398)(75, 399)(76, 400)(77, 401)(78, 402)(79, 403)(80, 404)(81, 405)(82, 406)(83, 407)(84, 408)(85, 409)(86, 410)(87, 411)(88, 412)(89, 413)(90, 414)(91, 415)(92, 416)(93, 417)(94, 418)(95, 419)(96, 420)(97, 421)(98, 422)(99, 423)(100, 424)(101, 425)(102, 426)(103, 427)(104, 428)(105, 429)(106, 430)(107, 431)(108, 432)(109, 433)(110, 434)(111, 435)(112, 436)(113, 437)(114, 438)(115, 439)(116, 440)(117, 441)(118, 442)(119, 443)(120, 444)(121, 445)(122, 446)(123, 447)(124, 448)(125, 449)(126, 450)(127, 451)(128, 452)(129, 453)(130, 454)(131, 455)(132, 456)(133, 457)(134, 458)(135, 459)(136, 460)(137, 461)(138, 462)(139, 463)(140, 464)(141, 465)(142, 466)(143, 467)(144, 468)(145, 469)(146, 470)(147, 471)(148, 472)(149, 473)(150, 474)(151, 475)(152, 476)(153, 477)(154, 478)(155, 479)(156, 480)(157, 481)(158, 482)(159, 483)(160, 484)(161, 485)(162, 486)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 8, 8 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2763
Graph:: simple bipartite
	v = 189 e = 324 f = 81
	degree seq :: [ 2^162, 12^27 ]

E28.2763 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 6})
Quotient :: loop^2
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 21>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y3 * Y2)^3, (Y3 * Y1)^3, (Y2 * Y1)^3, (Y1 * Y3 * Y2)^6 ]
Map::
	R = (1, 163, 325, 487, 4, 166, 328, 490)(2, 164, 326, 488, 6, 168, 330, 492)(3, 165, 327, 489, 8, 170, 332, 494)(5, 167, 329, 491, 12, 174, 336, 498)(7, 169, 331, 493, 15, 177, 339, 501)(9, 171, 333, 495, 13, 175, 337, 499)(10, 172, 334, 496, 17, 179, 341, 503)(11, 173, 335, 497, 20, 182, 344, 506)(14, 176, 338, 500, 22, 184, 346, 508)(16, 178, 340, 502, 25, 187, 349, 511)(18, 180, 342, 504, 30, 192, 354, 516)(19, 181, 343, 505, 31, 193, 355, 517)(21, 183, 345, 507, 32, 194, 356, 518)(23, 185, 347, 509, 37, 199, 361, 523)(24, 186, 348, 510, 38, 200, 362, 524)(26, 188, 350, 512, 33, 195, 357, 519)(27, 189, 351, 513, 42, 204, 366, 528)(28, 190, 352, 514, 43, 205, 367, 529)(29, 191, 353, 515, 44, 206, 368, 530)(34, 196, 358, 520, 50, 212, 374, 536)(35, 197, 359, 521, 51, 213, 375, 537)(36, 198, 360, 522, 52, 214, 376, 538)(39, 201, 363, 525, 56, 218, 380, 542)(40, 202, 364, 526, 57, 219, 381, 543)(41, 203, 365, 527, 58, 220, 382, 544)(45, 207, 369, 531, 61, 223, 385, 547)(46, 208, 370, 532, 62, 224, 386, 548)(47, 209, 371, 533, 66, 228, 390, 552)(48, 210, 372, 534, 67, 229, 391, 553)(49, 211, 373, 535, 68, 230, 392, 554)(53, 215, 377, 539, 71, 233, 395, 557)(54, 216, 378, 540, 72, 234, 396, 558)(55, 217, 379, 541, 75, 237, 399, 561)(59, 221, 383, 545, 78, 240, 402, 564)(60, 222, 384, 546, 79, 241, 403, 565)(63, 225, 387, 549, 84, 246, 408, 570)(64, 226, 388, 550, 85, 247, 409, 571)(65, 227, 389, 551, 86, 248, 410, 572)(69, 231, 393, 555, 89, 251, 413, 575)(70, 232, 394, 556, 90, 252, 414, 576)(73, 235, 397, 559, 95, 257, 419, 581)(74, 236, 398, 560, 96, 258, 420, 582)(76, 238, 400, 562, 97, 259, 421, 583)(77, 239, 401, 563, 98, 260, 422, 584)(80, 242, 404, 566, 103, 265, 427, 589)(81, 243, 405, 567, 104, 266, 428, 590)(82, 244, 406, 568, 106, 268, 430, 592)(83, 245, 407, 569, 107, 269, 431, 593)(87, 249, 411, 573, 110, 272, 434, 596)(88, 250, 412, 574, 111, 273, 435, 597)(91, 253, 415, 577, 116, 278, 440, 602)(92, 254, 416, 578, 117, 279, 441, 603)(93, 255, 417, 579, 119, 281, 443, 605)(94, 256, 418, 580, 120, 282, 444, 606)(99, 261, 423, 585, 125, 287, 449, 611)(100, 262, 424, 586, 126, 288, 450, 612)(101, 263, 425, 587, 128, 290, 452, 614)(102, 264, 426, 588, 129, 291, 453, 615)(105, 267, 429, 591, 131, 293, 455, 617)(108, 270, 432, 594, 121, 283, 445, 607)(109, 271, 433, 595, 130, 292, 454, 616)(112, 274, 436, 598, 136, 298, 460, 622)(113, 275, 437, 599, 137, 299, 461, 623)(114, 276, 438, 600, 139, 301, 463, 625)(115, 277, 439, 601, 140, 302, 464, 626)(118, 280, 442, 604, 142, 304, 466, 628)(122, 284, 446, 608, 141, 303, 465, 627)(123, 285, 447, 609, 146, 308, 470, 632)(124, 286, 448, 610, 147, 309, 471, 633)(127, 289, 451, 613, 148, 310, 472, 634)(132, 294, 456, 618, 150, 312, 474, 636)(133, 295, 457, 619, 151, 313, 475, 637)(134, 296, 458, 620, 153, 315, 477, 639)(135, 297, 459, 621, 154, 316, 478, 640)(138, 300, 462, 624, 155, 317, 479, 641)(143, 305, 467, 629, 157, 319, 481, 643)(144, 306, 468, 630, 158, 320, 482, 644)(145, 307, 469, 631, 159, 321, 483, 645)(149, 311, 473, 635, 160, 322, 484, 646)(152, 314, 476, 638, 161, 323, 485, 647)(156, 318, 480, 642, 162, 324, 486, 648)
	L = (1, 164)(2, 163)(3, 169)(4, 171)(5, 173)(6, 175)(7, 165)(8, 178)(9, 166)(10, 181)(11, 167)(12, 183)(13, 168)(14, 186)(15, 187)(16, 170)(17, 190)(18, 191)(19, 172)(20, 194)(21, 174)(22, 197)(23, 198)(24, 176)(25, 177)(26, 202)(27, 203)(28, 179)(29, 180)(30, 207)(31, 205)(32, 182)(33, 210)(34, 211)(35, 184)(36, 185)(37, 215)(38, 213)(39, 217)(40, 188)(41, 189)(42, 221)(43, 193)(44, 223)(45, 192)(46, 226)(47, 227)(48, 195)(49, 196)(50, 231)(51, 200)(52, 233)(53, 199)(54, 236)(55, 201)(56, 238)(57, 229)(58, 240)(59, 204)(60, 243)(61, 206)(62, 245)(63, 235)(64, 208)(65, 209)(66, 249)(67, 219)(68, 251)(69, 212)(70, 254)(71, 214)(72, 256)(73, 225)(74, 216)(75, 259)(76, 218)(77, 262)(78, 220)(79, 264)(80, 261)(81, 222)(82, 267)(83, 224)(84, 270)(85, 269)(86, 272)(87, 228)(88, 275)(89, 230)(90, 277)(91, 274)(92, 232)(93, 280)(94, 234)(95, 283)(96, 282)(97, 237)(98, 286)(99, 242)(100, 239)(101, 289)(102, 241)(103, 284)(104, 291)(105, 244)(106, 294)(107, 247)(108, 246)(109, 278)(110, 248)(111, 297)(112, 253)(113, 250)(114, 300)(115, 252)(116, 271)(117, 302)(118, 255)(119, 305)(120, 258)(121, 257)(122, 265)(123, 307)(124, 260)(125, 303)(126, 309)(127, 263)(128, 306)(129, 266)(130, 298)(131, 312)(132, 268)(133, 301)(134, 314)(135, 273)(136, 292)(137, 316)(138, 276)(139, 295)(140, 279)(141, 287)(142, 319)(143, 281)(144, 290)(145, 285)(146, 318)(147, 288)(148, 320)(149, 315)(150, 293)(151, 317)(152, 296)(153, 311)(154, 299)(155, 313)(156, 308)(157, 304)(158, 310)(159, 324)(160, 323)(161, 322)(162, 321)(325, 489)(326, 491)(327, 487)(328, 496)(329, 488)(330, 500)(331, 497)(332, 503)(333, 504)(334, 490)(335, 493)(336, 508)(337, 509)(338, 492)(339, 512)(340, 513)(341, 494)(342, 495)(343, 515)(344, 519)(345, 520)(346, 498)(347, 499)(348, 522)(349, 525)(350, 501)(351, 502)(352, 527)(353, 505)(354, 523)(355, 532)(356, 533)(357, 506)(358, 507)(359, 535)(360, 510)(361, 516)(362, 540)(363, 511)(364, 541)(365, 514)(366, 542)(367, 546)(368, 548)(369, 549)(370, 517)(371, 518)(372, 551)(373, 521)(374, 552)(375, 556)(376, 558)(377, 559)(378, 524)(379, 526)(380, 528)(381, 563)(382, 565)(383, 566)(384, 529)(385, 568)(386, 530)(387, 531)(388, 567)(389, 534)(390, 536)(391, 574)(392, 576)(393, 577)(394, 537)(395, 579)(396, 538)(397, 539)(398, 578)(399, 584)(400, 585)(401, 543)(402, 587)(403, 544)(404, 545)(405, 550)(406, 547)(407, 591)(408, 592)(409, 595)(410, 597)(411, 598)(412, 553)(413, 600)(414, 554)(415, 555)(416, 560)(417, 557)(418, 604)(419, 605)(420, 608)(421, 609)(422, 561)(423, 562)(424, 599)(425, 564)(426, 613)(427, 614)(428, 616)(429, 569)(430, 570)(431, 619)(432, 612)(433, 571)(434, 620)(435, 572)(436, 573)(437, 586)(438, 575)(439, 624)(440, 625)(441, 627)(442, 580)(443, 581)(444, 630)(445, 623)(446, 582)(447, 583)(448, 631)(449, 632)(450, 594)(451, 588)(452, 589)(453, 635)(454, 590)(455, 637)(456, 633)(457, 593)(458, 596)(459, 638)(460, 639)(461, 607)(462, 601)(463, 602)(464, 642)(465, 603)(466, 644)(467, 640)(468, 606)(469, 610)(470, 611)(471, 618)(472, 646)(473, 615)(474, 645)(475, 617)(476, 621)(477, 622)(478, 629)(479, 648)(480, 626)(481, 647)(482, 628)(483, 636)(484, 634)(485, 643)(486, 641)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2762
Transitivity :: VT+
Graph::
	v = 81 e = 324 f = 189
	degree seq :: [ 8^81 ]

E28.2764 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 6})
Quotient :: loop^2
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 21>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y1 * Y3)^3, (Y2 * Y3)^3, (Y1 * Y3^-1 * Y2)^2, Y3^6, (Y1 * Y2)^3, Y1 * Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y2 * Y3, (Y3^-1 * Y1 * Y3^2 * Y2)^2 ]
Map::
	R = (1, 163, 325, 487, 4, 166, 328, 490, 14, 176, 338, 500, 39, 201, 363, 525, 17, 179, 341, 503, 5, 167, 329, 491)(2, 164, 326, 488, 7, 169, 331, 493, 23, 185, 347, 509, 57, 219, 381, 543, 26, 188, 350, 512, 8, 170, 332, 494)(3, 165, 327, 489, 10, 172, 334, 496, 30, 192, 354, 516, 68, 230, 392, 554, 33, 195, 357, 519, 11, 173, 335, 497)(6, 168, 330, 492, 19, 181, 343, 505, 48, 210, 372, 534, 96, 258, 420, 582, 51, 213, 375, 537, 20, 182, 344, 506)(9, 171, 333, 495, 27, 189, 351, 513, 63, 225, 387, 549, 119, 281, 443, 605, 64, 226, 388, 550, 28, 190, 352, 514)(12, 174, 336, 498, 24, 186, 348, 510, 59, 221, 383, 545, 114, 276, 438, 600, 73, 235, 397, 559, 34, 196, 358, 520)(13, 175, 337, 499, 32, 194, 356, 518, 49, 211, 373, 535, 98, 260, 422, 584, 77, 239, 401, 563, 36, 198, 360, 522)(15, 177, 339, 501, 41, 203, 365, 527, 86, 248, 410, 572, 101, 263, 425, 587, 52, 214, 376, 538, 21, 183, 345, 507)(16, 178, 340, 502, 42, 204, 366, 528, 87, 249, 411, 573, 120, 282, 444, 606, 65, 227, 389, 551, 29, 191, 353, 515)(18, 180, 342, 504, 45, 207, 369, 531, 91, 253, 415, 577, 139, 301, 463, 625, 92, 254, 416, 578, 46, 208, 370, 532)(22, 184, 346, 508, 50, 212, 374, 536, 31, 193, 355, 517, 70, 232, 394, 556, 105, 267, 429, 591, 54, 216, 378, 540)(25, 187, 349, 511, 60, 222, 384, 546, 115, 277, 439, 601, 140, 302, 464, 626, 93, 255, 417, 579, 47, 209, 371, 533)(35, 197, 359, 521, 62, 224, 386, 548, 118, 280, 442, 604, 158, 320, 482, 644, 125, 287, 449, 611, 74, 236, 398, 560)(37, 199, 361, 523, 69, 231, 393, 555, 100, 262, 424, 586, 147, 309, 471, 633, 130, 292, 454, 616, 78, 240, 402, 564)(38, 200, 362, 524, 76, 238, 400, 562, 116, 278, 440, 602, 155, 317, 479, 641, 133, 295, 457, 619, 80, 242, 404, 566)(40, 202, 364, 526, 83, 245, 407, 569, 103, 265, 427, 589, 149, 311, 473, 635, 113, 275, 437, 599, 66, 228, 390, 552)(43, 205, 367, 529, 89, 251, 413, 575, 137, 299, 461, 623, 141, 303, 465, 627, 95, 257, 419, 581, 84, 246, 408, 570)(44, 206, 368, 530, 90, 252, 414, 576, 138, 300, 462, 624, 145, 307, 469, 631, 102, 264, 426, 588, 53, 215, 377, 539)(55, 217, 379, 541, 97, 259, 421, 583, 72, 234, 396, 558, 127, 289, 451, 613, 150, 312, 474, 636, 106, 268, 430, 592)(56, 218, 380, 542, 104, 266, 428, 590, 88, 250, 412, 574, 135, 297, 459, 621, 153, 315, 477, 639, 108, 270, 432, 594)(58, 220, 382, 544, 111, 273, 435, 597, 75, 237, 399, 561, 129, 291, 453, 615, 85, 247, 409, 571, 94, 256, 418, 580)(61, 223, 385, 547, 117, 279, 441, 603, 157, 319, 481, 643, 121, 283, 445, 607, 67, 229, 391, 553, 112, 274, 436, 598)(71, 233, 395, 557, 126, 288, 450, 612, 160, 322, 484, 646, 131, 293, 455, 617, 79, 241, 403, 565, 124, 286, 448, 610)(81, 243, 405, 567, 128, 290, 452, 614, 154, 316, 478, 640, 109, 271, 433, 595, 148, 310, 472, 634, 134, 296, 458, 620)(82, 244, 406, 568, 132, 294, 456, 618, 159, 321, 483, 645, 123, 285, 447, 609, 142, 304, 466, 628, 136, 298, 460, 622)(99, 261, 423, 585, 146, 308, 470, 632, 162, 324, 486, 648, 151, 313, 475, 637, 107, 269, 431, 593, 144, 306, 468, 630)(110, 272, 434, 596, 152, 314, 476, 638, 161, 323, 485, 647, 143, 305, 467, 629, 122, 284, 446, 608, 156, 318, 480, 642)
	L = (1, 164)(2, 163)(3, 171)(4, 174)(5, 177)(6, 180)(7, 183)(8, 186)(9, 165)(10, 187)(11, 193)(12, 166)(13, 197)(14, 199)(15, 167)(16, 181)(17, 205)(18, 168)(19, 178)(20, 211)(21, 169)(22, 215)(23, 217)(24, 170)(25, 172)(26, 223)(27, 212)(28, 222)(29, 220)(30, 228)(31, 173)(32, 207)(33, 233)(34, 231)(35, 175)(36, 237)(37, 176)(38, 241)(39, 243)(40, 209)(41, 246)(42, 208)(43, 179)(44, 245)(45, 194)(46, 204)(47, 202)(48, 256)(49, 182)(50, 189)(51, 261)(52, 259)(53, 184)(54, 265)(55, 185)(56, 269)(57, 271)(58, 191)(59, 274)(60, 190)(61, 188)(62, 273)(63, 264)(64, 278)(65, 280)(66, 192)(67, 257)(68, 284)(69, 196)(70, 286)(71, 195)(72, 262)(73, 289)(74, 253)(75, 198)(76, 277)(77, 270)(78, 290)(79, 200)(80, 267)(81, 201)(82, 297)(83, 206)(84, 203)(85, 298)(86, 283)(87, 266)(88, 254)(89, 296)(90, 255)(91, 236)(92, 250)(93, 252)(94, 210)(95, 229)(96, 304)(97, 214)(98, 306)(99, 213)(100, 234)(101, 309)(102, 225)(103, 216)(104, 249)(105, 242)(106, 310)(107, 218)(108, 239)(109, 219)(110, 317)(111, 224)(112, 221)(113, 318)(114, 303)(115, 238)(116, 226)(117, 316)(118, 227)(119, 314)(120, 313)(121, 248)(122, 230)(123, 308)(124, 232)(125, 321)(126, 305)(127, 235)(128, 240)(129, 315)(130, 319)(131, 302)(132, 301)(133, 311)(134, 251)(135, 244)(136, 247)(137, 312)(138, 322)(139, 294)(140, 293)(141, 276)(142, 258)(143, 288)(144, 260)(145, 323)(146, 285)(147, 263)(148, 268)(149, 295)(150, 299)(151, 282)(152, 281)(153, 291)(154, 279)(155, 272)(156, 275)(157, 292)(158, 324)(159, 287)(160, 300)(161, 307)(162, 320)(325, 489)(326, 492)(327, 487)(328, 499)(329, 502)(330, 488)(331, 508)(332, 511)(333, 504)(334, 515)(335, 518)(336, 514)(337, 490)(338, 524)(339, 526)(340, 491)(341, 530)(342, 495)(343, 533)(344, 536)(345, 532)(346, 493)(347, 542)(348, 544)(349, 494)(350, 548)(351, 538)(352, 498)(353, 496)(354, 553)(355, 555)(356, 497)(357, 558)(358, 531)(359, 546)(360, 562)(361, 560)(362, 500)(363, 568)(364, 501)(365, 571)(366, 539)(367, 574)(368, 503)(369, 520)(370, 507)(371, 505)(372, 581)(373, 583)(374, 506)(375, 586)(376, 513)(377, 528)(378, 590)(379, 588)(380, 509)(381, 596)(382, 510)(383, 599)(384, 521)(385, 602)(386, 512)(387, 593)(388, 597)(389, 598)(390, 580)(391, 516)(392, 609)(393, 517)(394, 611)(395, 585)(396, 519)(397, 610)(398, 523)(399, 614)(400, 522)(401, 603)(402, 601)(403, 577)(404, 618)(405, 617)(406, 525)(407, 578)(408, 579)(409, 527)(410, 612)(411, 592)(412, 529)(413, 591)(414, 622)(415, 565)(416, 569)(417, 570)(418, 552)(419, 534)(420, 629)(421, 535)(422, 631)(423, 557)(424, 537)(425, 630)(426, 541)(427, 634)(428, 540)(429, 575)(430, 573)(431, 549)(432, 638)(433, 637)(434, 543)(435, 550)(436, 551)(437, 545)(438, 632)(439, 564)(440, 547)(441, 563)(442, 642)(443, 640)(444, 641)(445, 628)(446, 627)(447, 554)(448, 559)(449, 556)(450, 572)(451, 645)(452, 561)(453, 646)(454, 639)(455, 567)(456, 566)(457, 636)(458, 625)(459, 626)(460, 576)(461, 644)(462, 643)(463, 620)(464, 621)(465, 608)(466, 607)(467, 582)(468, 587)(469, 584)(470, 600)(471, 647)(472, 589)(473, 648)(474, 619)(475, 595)(476, 594)(477, 616)(478, 605)(479, 606)(480, 604)(481, 624)(482, 623)(483, 613)(484, 615)(485, 633)(486, 635)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.2761
Transitivity :: VT+
Graph::
	v = 27 e = 324 f = 243
	degree seq :: [ 24^27 ]

E28.2765 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 21>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (Y3^-1 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y1 * Y2)^3, (R * Y2 * Y3^-1)^2, R * Y1 * Y2 * R * Y2 * Y3 * Y1, Y3^-1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1, (Y1 * Y3)^6, (Y1 * Y3 * Y1 * Y3^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 163, 2, 164)(3, 165, 9, 171)(4, 166, 12, 174)(5, 167, 13, 175)(6, 168, 14, 176)(7, 169, 17, 179)(8, 170, 18, 180)(10, 172, 21, 183)(11, 173, 22, 184)(15, 177, 31, 193)(16, 178, 32, 194)(19, 181, 39, 201)(20, 182, 40, 202)(23, 185, 44, 206)(24, 186, 49, 211)(25, 187, 50, 212)(26, 188, 41, 203)(27, 189, 53, 215)(28, 190, 54, 216)(29, 191, 47, 209)(30, 192, 55, 217)(33, 195, 57, 219)(34, 196, 61, 223)(35, 197, 62, 224)(36, 198, 43, 205)(37, 199, 65, 227)(38, 200, 66, 228)(42, 204, 69, 231)(45, 207, 72, 234)(46, 208, 73, 235)(48, 210, 74, 236)(51, 213, 70, 232)(52, 214, 80, 242)(56, 218, 88, 250)(58, 220, 91, 253)(59, 221, 92, 254)(60, 222, 93, 255)(63, 225, 89, 251)(64, 226, 99, 261)(67, 229, 105, 267)(68, 230, 106, 268)(71, 233, 108, 270)(75, 237, 112, 274)(76, 238, 104, 266)(77, 239, 115, 277)(78, 240, 97, 259)(79, 241, 116, 278)(81, 243, 117, 279)(82, 244, 120, 282)(83, 245, 102, 264)(84, 246, 121, 283)(85, 247, 95, 257)(86, 248, 122, 284)(87, 249, 123, 285)(90, 252, 125, 287)(94, 256, 129, 291)(96, 258, 132, 294)(98, 260, 133, 295)(100, 262, 134, 296)(101, 263, 137, 299)(103, 265, 138, 300)(107, 269, 141, 303)(109, 271, 136, 298)(110, 272, 144, 306)(111, 273, 130, 292)(113, 275, 128, 290)(114, 276, 145, 307)(118, 280, 149, 311)(119, 281, 126, 288)(124, 286, 153, 315)(127, 289, 156, 318)(131, 293, 157, 319)(135, 297, 161, 323)(139, 301, 155, 317)(140, 302, 162, 324)(142, 304, 160, 322)(143, 305, 151, 313)(146, 308, 159, 321)(147, 309, 158, 320)(148, 310, 154, 316)(150, 312, 152, 314)(325, 487, 327, 489)(326, 488, 330, 492)(328, 490, 335, 497)(329, 491, 334, 496)(331, 493, 340, 502)(332, 494, 339, 501)(333, 495, 338, 500)(336, 498, 347, 509)(337, 499, 350, 512)(341, 503, 357, 519)(342, 504, 360, 522)(343, 505, 354, 516)(344, 506, 353, 515)(345, 507, 365, 527)(346, 508, 368, 530)(348, 510, 372, 534)(349, 511, 371, 533)(351, 513, 376, 538)(352, 514, 375, 537)(355, 517, 367, 529)(356, 518, 381, 543)(358, 520, 384, 546)(359, 521, 363, 525)(361, 523, 388, 550)(362, 524, 387, 549)(364, 526, 374, 536)(366, 528, 380, 542)(369, 531, 395, 557)(370, 532, 394, 556)(373, 535, 399, 561)(377, 539, 405, 567)(378, 540, 397, 559)(379, 541, 386, 548)(382, 544, 414, 576)(383, 545, 413, 575)(385, 547, 418, 580)(389, 551, 424, 586)(390, 552, 416, 578)(391, 553, 403, 565)(392, 554, 402, 564)(393, 555, 407, 569)(396, 558, 401, 563)(398, 560, 436, 598)(400, 562, 433, 595)(404, 566, 441, 603)(406, 568, 431, 593)(408, 570, 435, 597)(409, 571, 434, 596)(410, 572, 422, 584)(411, 573, 421, 583)(412, 574, 426, 588)(415, 577, 420, 582)(417, 579, 453, 615)(419, 581, 450, 612)(423, 585, 458, 620)(425, 587, 448, 610)(427, 589, 452, 614)(428, 590, 451, 613)(429, 591, 438, 600)(430, 592, 447, 609)(432, 594, 439, 601)(437, 599, 463, 625)(440, 602, 469, 631)(442, 604, 472, 634)(443, 605, 468, 630)(444, 606, 474, 636)(445, 607, 467, 629)(446, 608, 455, 617)(449, 611, 456, 618)(454, 616, 475, 637)(457, 619, 481, 643)(459, 621, 484, 646)(460, 622, 480, 642)(461, 623, 486, 648)(462, 624, 479, 641)(464, 626, 477, 639)(465, 627, 476, 638)(466, 628, 470, 632)(471, 633, 473, 635)(478, 640, 482, 644)(483, 645, 485, 647)
	L = (1, 328)(2, 331)(3, 334)(4, 329)(5, 325)(6, 339)(7, 332)(8, 326)(9, 343)(10, 335)(11, 327)(12, 348)(13, 351)(14, 353)(15, 340)(16, 330)(17, 358)(18, 361)(19, 344)(20, 333)(21, 366)(22, 369)(23, 371)(24, 349)(25, 336)(26, 375)(27, 352)(28, 337)(29, 354)(30, 338)(31, 380)(32, 382)(33, 363)(34, 359)(35, 341)(36, 387)(37, 362)(38, 342)(39, 384)(40, 391)(41, 355)(42, 367)(43, 345)(44, 394)(45, 370)(46, 346)(47, 372)(48, 347)(49, 400)(50, 402)(51, 376)(52, 350)(53, 406)(54, 408)(55, 410)(56, 365)(57, 413)(58, 383)(59, 356)(60, 357)(61, 419)(62, 421)(63, 388)(64, 360)(65, 425)(66, 427)(67, 392)(68, 364)(69, 431)(70, 395)(71, 368)(72, 433)(73, 434)(74, 437)(75, 396)(76, 401)(77, 373)(78, 403)(79, 374)(80, 442)(81, 393)(82, 407)(83, 377)(84, 409)(85, 378)(86, 411)(87, 379)(88, 448)(89, 414)(90, 381)(91, 450)(92, 451)(93, 454)(94, 415)(95, 420)(96, 385)(97, 422)(98, 386)(99, 459)(100, 412)(101, 426)(102, 389)(103, 428)(104, 390)(105, 463)(106, 464)(107, 405)(108, 466)(109, 399)(110, 435)(111, 397)(112, 429)(113, 438)(114, 398)(115, 445)(116, 471)(117, 468)(118, 443)(119, 404)(120, 440)(121, 470)(122, 475)(123, 476)(124, 424)(125, 478)(126, 418)(127, 452)(128, 416)(129, 446)(130, 455)(131, 417)(132, 462)(133, 483)(134, 480)(135, 460)(136, 423)(137, 457)(138, 482)(139, 436)(140, 465)(141, 430)(142, 467)(143, 432)(144, 472)(145, 474)(146, 439)(147, 444)(148, 441)(149, 469)(150, 473)(151, 453)(152, 477)(153, 447)(154, 479)(155, 449)(156, 484)(157, 486)(158, 456)(159, 461)(160, 458)(161, 481)(162, 485)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2766
Graph:: simple bipartite
	v = 162 e = 324 f = 108
	degree seq :: [ 4^162 ]

E28.2766 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 21>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^3, (Y2 * Y3)^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y1^-1 * Y2 * Y3 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y2 * Y1)^3, Y1^6, Y1^2 * Y3 * Y1 * Y3^-1 * Y1 * Y3, Y3 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-2 * Y2, Y1^-1 * Y3^-1 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y1 * Y2, Y3^-1 * Y2 * Y1^-2 * Y2 * Y3^-1 * Y1^2 * Y3^-1, (Y1^2 * Y3^-1)^3, (Y2 * Y1^2 * Y3^-1 * Y1^-2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 163, 2, 164, 7, 169, 21, 183, 19, 181, 5, 167)(3, 165, 11, 173, 31, 193, 75, 237, 38, 200, 13, 175)(4, 166, 15, 177, 40, 202, 87, 249, 44, 206, 16, 178)(6, 168, 20, 182, 51, 213, 72, 234, 29, 191, 9, 171)(8, 170, 25, 187, 62, 224, 118, 280, 68, 230, 27, 189)(10, 172, 30, 192, 73, 235, 116, 278, 60, 222, 23, 185)(12, 174, 35, 197, 84, 246, 136, 298, 85, 247, 36, 198)(14, 176, 39, 201, 59, 221, 113, 275, 82, 244, 33, 195)(17, 179, 45, 207, 93, 255, 133, 295, 80, 242, 32, 194)(18, 180, 47, 209, 97, 259, 145, 307, 98, 260, 48, 210)(22, 184, 56, 218, 108, 270, 154, 316, 112, 274, 58, 220)(24, 186, 61, 223, 92, 254, 141, 303, 106, 268, 54, 216)(26, 188, 65, 227, 42, 204, 89, 251, 122, 284, 66, 228)(28, 190, 69, 231, 105, 267, 95, 257, 46, 208, 63, 225)(34, 196, 83, 245, 135, 297, 151, 313, 130, 292, 77, 239)(37, 199, 74, 236, 111, 273, 153, 315, 138, 300, 86, 248)(41, 203, 81, 243, 134, 296, 161, 323, 120, 282, 64, 226)(43, 205, 90, 252, 115, 277, 157, 319, 129, 291, 76, 238)(49, 211, 99, 261, 146, 308, 159, 321, 137, 299, 94, 256)(50, 212, 55, 217, 107, 269, 126, 288, 101, 263, 100, 262)(52, 214, 67, 229, 117, 279, 149, 311, 132, 294, 79, 241)(53, 215, 102, 264, 147, 309, 127, 289, 150, 312, 104, 266)(57, 219, 109, 271, 70, 232, 123, 285, 155, 317, 110, 272)(71, 233, 124, 286, 152, 314, 140, 302, 88, 250, 119, 281)(78, 240, 131, 293, 91, 253, 143, 305, 158, 320, 128, 290)(96, 258, 103, 265, 148, 310, 114, 276, 156, 318, 139, 301)(121, 283, 162, 324, 125, 287, 142, 304, 144, 306, 160, 322)(325, 487, 327, 489)(326, 488, 332, 494)(328, 490, 338, 500)(329, 491, 341, 503)(330, 492, 336, 498)(331, 493, 346, 508)(333, 495, 352, 514)(334, 496, 350, 512)(335, 497, 356, 518)(337, 499, 349, 511)(339, 501, 365, 527)(340, 502, 366, 528)(342, 504, 370, 532)(343, 505, 373, 535)(344, 506, 376, 538)(345, 507, 377, 539)(347, 509, 383, 545)(348, 510, 381, 543)(351, 513, 380, 542)(353, 515, 394, 556)(354, 516, 398, 560)(355, 517, 400, 562)(357, 519, 405, 567)(358, 520, 403, 565)(359, 521, 387, 549)(360, 522, 391, 553)(361, 523, 388, 550)(362, 524, 395, 557)(363, 525, 389, 551)(364, 526, 410, 572)(367, 529, 404, 566)(368, 530, 415, 577)(369, 531, 418, 580)(371, 533, 407, 569)(372, 534, 408, 570)(374, 536, 406, 568)(375, 537, 401, 563)(378, 540, 429, 591)(379, 541, 427, 589)(382, 544, 426, 588)(384, 546, 438, 600)(385, 547, 441, 603)(386, 548, 443, 605)(390, 552, 435, 597)(392, 554, 439, 601)(393, 555, 433, 595)(396, 558, 449, 611)(397, 559, 444, 606)(399, 561, 451, 613)(402, 564, 425, 587)(409, 571, 416, 578)(411, 573, 463, 625)(412, 574, 461, 623)(413, 575, 455, 617)(414, 576, 432, 594)(417, 579, 464, 626)(419, 581, 459, 621)(420, 582, 462, 624)(421, 583, 456, 618)(422, 584, 445, 607)(423, 585, 428, 590)(424, 586, 458, 620)(430, 592, 475, 637)(431, 593, 477, 639)(434, 596, 473, 635)(436, 598, 476, 638)(437, 599, 472, 634)(440, 602, 482, 644)(442, 604, 483, 645)(446, 608, 450, 612)(447, 609, 486, 648)(448, 610, 471, 633)(452, 614, 485, 647)(453, 615, 474, 636)(454, 616, 466, 628)(457, 619, 478, 640)(460, 622, 484, 646)(465, 627, 468, 630)(467, 629, 480, 642)(469, 631, 479, 641)(470, 632, 481, 643)
	L = (1, 328)(2, 333)(3, 336)(4, 330)(5, 342)(6, 325)(7, 347)(8, 350)(9, 334)(10, 326)(11, 357)(12, 338)(13, 361)(14, 327)(15, 329)(16, 367)(17, 365)(18, 339)(19, 374)(20, 340)(21, 378)(22, 381)(23, 348)(24, 331)(25, 387)(26, 352)(27, 391)(28, 332)(29, 395)(30, 353)(31, 401)(32, 403)(33, 358)(34, 335)(35, 337)(36, 380)(37, 359)(38, 394)(39, 360)(40, 372)(41, 370)(42, 376)(43, 344)(44, 416)(45, 419)(46, 341)(47, 343)(48, 412)(49, 407)(50, 371)(51, 400)(52, 404)(53, 427)(54, 379)(55, 345)(56, 363)(57, 383)(58, 435)(59, 346)(60, 439)(61, 384)(62, 444)(63, 388)(64, 349)(65, 351)(66, 426)(67, 389)(68, 438)(69, 390)(70, 398)(71, 354)(72, 450)(73, 443)(74, 362)(75, 452)(76, 425)(77, 402)(78, 355)(79, 405)(80, 366)(81, 356)(82, 373)(83, 406)(84, 410)(85, 415)(86, 461)(87, 464)(88, 364)(89, 457)(90, 368)(91, 432)(92, 414)(93, 463)(94, 462)(95, 420)(96, 369)(97, 424)(98, 397)(99, 437)(100, 453)(101, 375)(102, 393)(103, 429)(104, 473)(105, 377)(106, 476)(107, 430)(108, 409)(109, 382)(110, 423)(111, 433)(112, 475)(113, 434)(114, 441)(115, 385)(116, 469)(117, 392)(118, 484)(119, 422)(120, 445)(121, 386)(122, 449)(123, 399)(124, 396)(125, 471)(126, 448)(127, 486)(128, 447)(129, 421)(130, 478)(131, 454)(132, 474)(133, 466)(134, 456)(135, 418)(136, 483)(137, 408)(138, 459)(139, 468)(140, 465)(141, 411)(142, 413)(143, 460)(144, 417)(145, 481)(146, 479)(147, 446)(148, 428)(149, 472)(150, 458)(151, 477)(152, 431)(153, 436)(154, 455)(155, 482)(156, 442)(157, 440)(158, 470)(159, 467)(160, 480)(161, 451)(162, 485)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E28.2765
Graph:: simple bipartite
	v = 108 e = 324 f = 162
	degree seq :: [ 4^81, 12^27 ]

E28.2767 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 6, 6})
Quotient :: edge
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 11>)
Aut   = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^6, T2^6, T2^6, (T2^-3 * T1^-1)^2, (T1, T2, T1^-1), (T2^-1 * T1 * T2^-1 * T1 * T2^-1)^2, (T2^-1 * T1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 25, 15, 5)(2, 6, 17, 44, 21, 7)(4, 11, 30, 61, 34, 12)(8, 22, 55, 40, 58, 23)(10, 27, 65, 39, 68, 28)(13, 35, 63, 26, 62, 36)(14, 37, 60, 24, 59, 38)(16, 41, 84, 53, 86, 42)(18, 46, 92, 52, 94, 47)(19, 48, 90, 45, 89, 49)(20, 50, 88, 43, 87, 51)(29, 69, 101, 78, 104, 57)(31, 72, 112, 77, 114, 67)(32, 73, 120, 71, 109, 74)(33, 75, 119, 70, 107, 76)(54, 99, 82, 106, 140, 100)(56, 102, 80, 105, 142, 103)(64, 111, 81, 116, 145, 108)(66, 113, 79, 115, 146, 110)(83, 127, 98, 132, 155, 128)(85, 129, 96, 131, 156, 130)(91, 135, 97, 138, 157, 133)(93, 136, 95, 137, 158, 134)(117, 139, 126, 144, 159, 151)(118, 141, 124, 143, 160, 152)(121, 147, 125, 150, 161, 153)(122, 148, 123, 149, 162, 154)(163, 164, 166)(165, 170, 172)(167, 175, 176)(168, 178, 180)(169, 181, 182)(171, 186, 188)(173, 191, 193)(174, 194, 195)(177, 201, 202)(179, 205, 207)(183, 214, 215)(184, 216, 218)(185, 204, 219)(187, 223, 206)(189, 226, 228)(190, 209, 229)(192, 232, 233)(196, 239, 240)(197, 210, 235)(198, 241, 242)(199, 212, 237)(200, 243, 244)(203, 245, 247)(208, 253, 255)(211, 257, 258)(213, 259, 260)(217, 263, 246)(220, 267, 268)(221, 269, 249)(222, 262, 270)(224, 271, 251)(225, 265, 272)(227, 274, 254)(230, 277, 278)(231, 279, 280)(234, 283, 284)(236, 285, 286)(238, 287, 288)(248, 293, 294)(250, 290, 295)(252, 292, 296)(256, 299, 300)(261, 301, 289)(264, 303, 291)(266, 305, 306)(273, 309, 297)(275, 310, 298)(276, 311, 312)(281, 313, 315)(282, 314, 316)(302, 317, 321)(304, 318, 322)(307, 319, 323)(308, 320, 324)
	L = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 12^3 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2772
Transitivity :: ET+
Graph:: simple bipartite
	v = 81 e = 162 f = 27
	degree seq :: [ 3^54, 6^27 ]

E28.2768 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 6, 6})
Quotient :: edge
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 10>)
Aut   = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^6, (T2^-1 * T1^-1 * T2^-2)^2, T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2 * T1^-1, T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2 * T1 * T2 * T1^-1, (T2, T1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 25, 15, 5)(2, 6, 17, 44, 21, 7)(4, 11, 30, 62, 34, 12)(8, 22, 55, 40, 59, 23)(10, 27, 66, 39, 68, 28)(13, 35, 64, 26, 63, 36)(14, 37, 61, 24, 60, 38)(16, 41, 83, 53, 84, 42)(18, 46, 90, 52, 92, 47)(19, 48, 88, 45, 87, 49)(20, 50, 86, 43, 85, 51)(29, 69, 115, 78, 116, 70)(31, 54, 95, 77, 104, 73)(32, 74, 118, 72, 117, 75)(33, 57, 100, 71, 97, 76)(56, 98, 141, 103, 142, 99)(58, 101, 140, 96, 139, 102)(65, 109, 151, 114, 152, 110)(67, 112, 154, 111, 153, 113)(79, 119, 148, 107, 147, 120)(80, 121, 150, 108, 149, 122)(81, 123, 144, 105, 143, 124)(82, 125, 146, 106, 145, 126)(89, 129, 159, 134, 160, 130)(91, 132, 162, 131, 161, 133)(93, 135, 156, 127, 155, 136)(94, 137, 158, 128, 157, 138)(163, 164, 166)(165, 170, 172)(167, 175, 176)(168, 178, 180)(169, 181, 182)(171, 186, 188)(173, 191, 193)(174, 194, 195)(177, 201, 202)(179, 205, 207)(183, 214, 215)(184, 216, 218)(185, 219, 220)(187, 224, 206)(189, 227, 203)(190, 229, 210)(192, 233, 234)(196, 239, 240)(197, 235, 241)(198, 238, 242)(199, 243, 204)(200, 244, 211)(208, 251, 231)(209, 253, 236)(212, 255, 232)(213, 256, 237)(217, 258, 259)(221, 265, 266)(222, 245, 267)(223, 250, 268)(225, 269, 257)(226, 270, 262)(228, 249, 273)(230, 246, 276)(247, 277, 289)(248, 280, 290)(252, 279, 293)(254, 278, 296)(260, 291, 271)(261, 297, 274)(263, 294, 272)(264, 299, 275)(281, 292, 285)(282, 298, 287)(283, 295, 286)(284, 300, 288)(301, 313, 323)(302, 316, 319)(303, 315, 317)(304, 314, 322)(305, 321, 309)(306, 324, 311)(307, 318, 310)(308, 320, 312)
	L = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 12^3 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2774
Transitivity :: ET+
Graph:: simple bipartite
	v = 81 e = 162 f = 27
	degree seq :: [ 3^54, 6^27 ]

E28.2769 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 6, 6})
Quotient :: edge
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 10>)
Aut   = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^6, T2^-1 * T1 * T2^-1 * T1^-1 * T2^2 * T1^-1, T2 * T1^-1 * T2^2 * T1 * T2^-1 * T1 * T2^-2 * T1^-1, (T1^-1 * T2^-2 * T1^-1 * T2^-1)^2, T1^-1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 25, 15, 5)(2, 6, 17, 44, 21, 7)(4, 11, 30, 66, 34, 12)(8, 22, 52, 49, 20, 23)(10, 27, 61, 111, 64, 28)(13, 35, 71, 126, 72, 36)(14, 37, 29, 65, 77, 38)(16, 41, 82, 69, 33, 42)(18, 26, 60, 110, 92, 46)(19, 47, 93, 145, 94, 48)(24, 56, 106, 105, 55, 57)(31, 45, 90, 142, 120, 67)(32, 68, 121, 130, 78, 39)(40, 79, 73, 127, 132, 80)(43, 86, 138, 137, 85, 87)(50, 97, 54, 104, 147, 98)(51, 99, 76, 113, 63, 100)(53, 59, 109, 131, 152, 103)(58, 75, 129, 154, 107, 108)(62, 102, 150, 128, 74, 112)(70, 124, 84, 136, 149, 101)(81, 133, 96, 143, 91, 134)(83, 89, 141, 114, 157, 135)(88, 95, 146, 161, 139, 140)(115, 148, 123, 153, 119, 151)(116, 118, 155, 144, 162, 158)(117, 122, 156, 160, 125, 159)(163, 164, 166)(165, 170, 172)(167, 175, 176)(168, 178, 180)(169, 181, 182)(171, 186, 188)(173, 191, 193)(174, 194, 195)(177, 201, 202)(179, 205, 207)(183, 198, 212)(184, 213, 215)(185, 216, 217)(187, 220, 221)(189, 192, 224)(190, 197, 225)(196, 210, 232)(199, 235, 236)(200, 237, 238)(203, 243, 245)(204, 246, 247)(206, 250, 251)(208, 209, 253)(211, 257, 258)(214, 263, 264)(218, 244, 242)(219, 255, 269)(222, 223, 252)(226, 259, 276)(227, 277, 278)(228, 279, 280)(229, 230, 281)(231, 284, 285)(233, 287, 274)(234, 240, 256)(239, 260, 248)(241, 293, 282)(249, 283, 301)(254, 286, 306)(261, 310, 295)(262, 297, 298)(265, 266, 313)(267, 308, 315)(268, 303, 304)(270, 309, 292)(271, 272, 312)(273, 300, 317)(275, 299, 318)(288, 302, 311)(289, 296, 320)(290, 291, 305)(294, 307, 321)(314, 319, 324)(316, 323, 322)
	L = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 12^3 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2773
Transitivity :: ET+
Graph:: simple bipartite
	v = 81 e = 162 f = 27
	degree seq :: [ 3^54, 6^27 ]

E28.2770 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 6, 6})
Quotient :: edge
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 10>)
Aut   = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^6, T2^-1 * T1 * T2^2 * T1 * T2^-1 * T1^-1, T2^-1 * T1^-1 * T2^2 * T1 * T2 * T1 * T2^-2 * T1^-1, (T2^2 * T1^-1 * T2 * T1^-1)^2, T2^-1 * T1^-1 * T2^-3 * T1 * T2 * T1 * T2^-2 * T1 * T2^-1, (T2^-1 * T1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 25, 15, 5)(2, 6, 17, 43, 21, 7)(4, 11, 30, 65, 34, 12)(8, 22, 51, 99, 53, 23)(10, 27, 60, 68, 32, 28)(13, 35, 18, 45, 75, 36)(14, 37, 76, 128, 77, 38)(16, 41, 81, 133, 83, 42)(19, 46, 31, 67, 94, 47)(20, 48, 95, 132, 80, 40)(24, 54, 104, 115, 64, 29)(26, 57, 107, 112, 62, 58)(33, 69, 109, 147, 98, 50)(39, 78, 72, 126, 131, 79)(44, 86, 138, 125, 71, 87)(49, 96, 91, 142, 146, 97)(52, 100, 61, 111, 73, 101)(55, 105, 130, 154, 110, 59)(56, 74, 127, 153, 108, 106)(63, 113, 152, 124, 70, 103)(66, 118, 148, 141, 90, 119)(82, 134, 89, 140, 92, 135)(84, 136, 145, 161, 139, 88)(85, 93, 143, 160, 129, 137)(102, 150, 149, 120, 116, 151)(114, 157, 121, 155, 122, 158)(117, 123, 156, 162, 144, 159)(163, 164, 166)(165, 170, 172)(167, 175, 176)(168, 178, 180)(169, 181, 182)(171, 186, 188)(173, 191, 193)(174, 194, 195)(177, 201, 202)(179, 184, 206)(183, 211, 212)(185, 214, 199)(187, 217, 218)(189, 221, 223)(190, 224, 225)(192, 203, 228)(196, 232, 200)(197, 233, 234)(198, 235, 236)(204, 244, 210)(205, 246, 247)(207, 250, 251)(208, 252, 253)(209, 254, 255)(213, 216, 243)(215, 264, 265)(219, 241, 256)(220, 270, 271)(222, 248, 259)(226, 276, 231)(227, 278, 279)(229, 282, 283)(230, 284, 285)(237, 280, 286)(238, 249, 291)(239, 260, 242)(240, 245, 292)(257, 281, 306)(258, 277, 307)(261, 298, 310)(262, 304, 311)(263, 305, 303)(266, 267, 300)(268, 294, 314)(269, 295, 313)(272, 296, 275)(273, 317, 302)(274, 297, 318)(287, 320, 289)(288, 301, 319)(290, 308, 321)(293, 299, 309)(312, 316, 323)(315, 322, 324)
	L = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 12^3 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2775
Transitivity :: ET+
Graph:: simple bipartite
	v = 81 e = 162 f = 27
	degree seq :: [ 3^54, 6^27 ]

E28.2771 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 6, 6})
Quotient :: edge
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 10>)
Aut   = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T1 * T2)^3, T2^6, (T2 * T1^-2)^2, T1^6, T2^2 * T1^2 * T2 * T1^2 * T2, T1^-2 * T2 * T1 * T2^-1 * T1^2 * T2^-1 * T1^-1 * T2, T1 * T2^-1 * T1^-1 * T2^2 * T1^-1 * T2 * T1 * T2^-2, T2 * T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 31, 17, 5)(2, 7, 22, 57, 26, 8)(4, 12, 36, 54, 40, 14)(6, 19, 50, 44, 53, 20)(9, 28, 69, 115, 72, 29)(11, 33, 79, 39, 81, 34)(13, 37, 68, 27, 67, 38)(15, 41, 60, 23, 59, 42)(16, 43, 89, 103, 55, 21)(18, 47, 92, 64, 94, 48)(24, 61, 98, 51, 97, 62)(25, 63, 113, 142, 95, 49)(30, 73, 122, 146, 124, 74)(32, 76, 126, 80, 127, 77)(35, 75, 125, 154, 132, 82)(45, 90, 136, 87, 128, 78)(46, 71, 119, 141, 135, 86)(52, 99, 147, 120, 139, 91)(56, 104, 153, 116, 155, 105)(58, 106, 156, 109, 157, 107)(65, 114, 160, 111, 158, 108)(66, 102, 151, 130, 159, 110)(70, 117, 145, 100, 148, 118)(83, 129, 162, 112, 161, 133)(84, 93, 140, 123, 152, 134)(85, 131, 150, 101, 149, 121)(88, 137, 144, 96, 143, 138)(163, 164, 168, 180, 175, 166)(165, 171, 189, 214, 182, 173)(167, 177, 199, 246, 206, 178)(169, 183, 216, 255, 210, 185)(170, 186, 174, 197, 226, 187)(172, 192, 212, 258, 230, 194)(176, 201, 209, 253, 219, 190)(179, 207, 215, 262, 229, 208)(181, 211, 193, 237, 200, 213)(184, 218, 254, 245, 198, 220)(188, 227, 256, 247, 202, 228)(191, 232, 195, 240, 282, 233)(196, 242, 261, 306, 277, 235)(203, 248, 265, 310, 296, 249)(204, 250, 205, 236, 285, 238)(217, 263, 221, 270, 314, 264)(222, 271, 302, 295, 251, 266)(223, 272, 304, 293, 244, 273)(224, 274, 225, 267, 316, 268)(231, 269, 309, 291, 241, 278)(234, 276, 301, 292, 243, 283)(239, 275, 305, 260, 308, 287)(252, 257, 303, 259, 307, 294)(279, 311, 297, 321, 290, 320)(280, 323, 281, 319, 298, 317)(284, 315, 300, 324, 288, 318)(286, 322, 299, 312, 289, 313)
	L = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2776
Transitivity :: ET+
Graph:: simple bipartite
	v = 54 e = 162 f = 54
	degree seq :: [ 6^54 ]

E28.2772 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 6, 6})
Quotient :: loop
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 11>)
Aut   = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^6, T2^6, T2^6, (T2^-3 * T1^-1)^2, (T1, T2, T1^-1), (T2^-1 * T1 * T2^-1 * T1 * T2^-1)^2, (T2^-1 * T1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 163, 3, 165, 9, 171, 25, 187, 15, 177, 5, 167)(2, 164, 6, 168, 17, 179, 44, 206, 21, 183, 7, 169)(4, 166, 11, 173, 30, 192, 61, 223, 34, 196, 12, 174)(8, 170, 22, 184, 55, 217, 40, 202, 58, 220, 23, 185)(10, 172, 27, 189, 65, 227, 39, 201, 68, 230, 28, 190)(13, 175, 35, 197, 63, 225, 26, 188, 62, 224, 36, 198)(14, 176, 37, 199, 60, 222, 24, 186, 59, 221, 38, 200)(16, 178, 41, 203, 84, 246, 53, 215, 86, 248, 42, 204)(18, 180, 46, 208, 92, 254, 52, 214, 94, 256, 47, 209)(19, 181, 48, 210, 90, 252, 45, 207, 89, 251, 49, 211)(20, 182, 50, 212, 88, 250, 43, 205, 87, 249, 51, 213)(29, 191, 69, 231, 101, 263, 78, 240, 104, 266, 57, 219)(31, 193, 72, 234, 112, 274, 77, 239, 114, 276, 67, 229)(32, 194, 73, 235, 120, 282, 71, 233, 109, 271, 74, 236)(33, 195, 75, 237, 119, 281, 70, 232, 107, 269, 76, 238)(54, 216, 99, 261, 82, 244, 106, 268, 140, 302, 100, 262)(56, 218, 102, 264, 80, 242, 105, 267, 142, 304, 103, 265)(64, 226, 111, 273, 81, 243, 116, 278, 145, 307, 108, 270)(66, 228, 113, 275, 79, 241, 115, 277, 146, 308, 110, 272)(83, 245, 127, 289, 98, 260, 132, 294, 155, 317, 128, 290)(85, 247, 129, 291, 96, 258, 131, 293, 156, 318, 130, 292)(91, 253, 135, 297, 97, 259, 138, 300, 157, 319, 133, 295)(93, 255, 136, 298, 95, 257, 137, 299, 158, 320, 134, 296)(117, 279, 139, 301, 126, 288, 144, 306, 159, 321, 151, 313)(118, 280, 141, 303, 124, 286, 143, 305, 160, 322, 152, 314)(121, 283, 147, 309, 125, 287, 150, 312, 161, 323, 153, 315)(122, 284, 148, 310, 123, 285, 149, 311, 162, 324, 154, 316)
	L = (1, 164)(2, 166)(3, 170)(4, 163)(5, 175)(6, 178)(7, 181)(8, 172)(9, 186)(10, 165)(11, 191)(12, 194)(13, 176)(14, 167)(15, 201)(16, 180)(17, 205)(18, 168)(19, 182)(20, 169)(21, 214)(22, 216)(23, 204)(24, 188)(25, 223)(26, 171)(27, 226)(28, 209)(29, 193)(30, 232)(31, 173)(32, 195)(33, 174)(34, 239)(35, 210)(36, 241)(37, 212)(38, 243)(39, 202)(40, 177)(41, 245)(42, 219)(43, 207)(44, 187)(45, 179)(46, 253)(47, 229)(48, 235)(49, 257)(50, 237)(51, 259)(52, 215)(53, 183)(54, 218)(55, 263)(56, 184)(57, 185)(58, 267)(59, 269)(60, 262)(61, 206)(62, 271)(63, 265)(64, 228)(65, 274)(66, 189)(67, 190)(68, 277)(69, 279)(70, 233)(71, 192)(72, 283)(73, 197)(74, 285)(75, 199)(76, 287)(77, 240)(78, 196)(79, 242)(80, 198)(81, 244)(82, 200)(83, 247)(84, 217)(85, 203)(86, 293)(87, 221)(88, 290)(89, 224)(90, 292)(91, 255)(92, 227)(93, 208)(94, 299)(95, 258)(96, 211)(97, 260)(98, 213)(99, 301)(100, 270)(101, 246)(102, 303)(103, 272)(104, 305)(105, 268)(106, 220)(107, 249)(108, 222)(109, 251)(110, 225)(111, 309)(112, 254)(113, 310)(114, 311)(115, 278)(116, 230)(117, 280)(118, 231)(119, 313)(120, 314)(121, 284)(122, 234)(123, 286)(124, 236)(125, 288)(126, 238)(127, 261)(128, 295)(129, 264)(130, 296)(131, 294)(132, 248)(133, 250)(134, 252)(135, 273)(136, 275)(137, 300)(138, 256)(139, 289)(140, 317)(141, 291)(142, 318)(143, 306)(144, 266)(145, 319)(146, 320)(147, 297)(148, 298)(149, 312)(150, 276)(151, 315)(152, 316)(153, 281)(154, 282)(155, 321)(156, 322)(157, 323)(158, 324)(159, 302)(160, 304)(161, 307)(162, 308)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2767
Transitivity :: ET+ VT+ AT
Graph::
	v = 27 e = 162 f = 81
	degree seq :: [ 12^27 ]

E28.2773 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 6, 6})
Quotient :: loop
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 10>)
Aut   = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^6, (T2^-1 * T1^-1 * T2^-2)^2, T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2 * T1^-1, T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2 * T1 * T2 * T1^-1, (T2, T1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 163, 3, 165, 9, 171, 25, 187, 15, 177, 5, 167)(2, 164, 6, 168, 17, 179, 44, 206, 21, 183, 7, 169)(4, 166, 11, 173, 30, 192, 62, 224, 34, 196, 12, 174)(8, 170, 22, 184, 55, 217, 40, 202, 59, 221, 23, 185)(10, 172, 27, 189, 66, 228, 39, 201, 68, 230, 28, 190)(13, 175, 35, 197, 64, 226, 26, 188, 63, 225, 36, 198)(14, 176, 37, 199, 61, 223, 24, 186, 60, 222, 38, 200)(16, 178, 41, 203, 83, 245, 53, 215, 84, 246, 42, 204)(18, 180, 46, 208, 90, 252, 52, 214, 92, 254, 47, 209)(19, 181, 48, 210, 88, 250, 45, 207, 87, 249, 49, 211)(20, 182, 50, 212, 86, 248, 43, 205, 85, 247, 51, 213)(29, 191, 69, 231, 115, 277, 78, 240, 116, 278, 70, 232)(31, 193, 54, 216, 95, 257, 77, 239, 104, 266, 73, 235)(32, 194, 74, 236, 118, 280, 72, 234, 117, 279, 75, 237)(33, 195, 57, 219, 100, 262, 71, 233, 97, 259, 76, 238)(56, 218, 98, 260, 141, 303, 103, 265, 142, 304, 99, 261)(58, 220, 101, 263, 140, 302, 96, 258, 139, 301, 102, 264)(65, 227, 109, 271, 151, 313, 114, 276, 152, 314, 110, 272)(67, 229, 112, 274, 154, 316, 111, 273, 153, 315, 113, 275)(79, 241, 119, 281, 148, 310, 107, 269, 147, 309, 120, 282)(80, 242, 121, 283, 150, 312, 108, 270, 149, 311, 122, 284)(81, 243, 123, 285, 144, 306, 105, 267, 143, 305, 124, 286)(82, 244, 125, 287, 146, 308, 106, 268, 145, 307, 126, 288)(89, 251, 129, 291, 159, 321, 134, 296, 160, 322, 130, 292)(91, 253, 132, 294, 162, 324, 131, 293, 161, 323, 133, 295)(93, 255, 135, 297, 156, 318, 127, 289, 155, 317, 136, 298)(94, 256, 137, 299, 158, 320, 128, 290, 157, 319, 138, 300)
	L = (1, 164)(2, 166)(3, 170)(4, 163)(5, 175)(6, 178)(7, 181)(8, 172)(9, 186)(10, 165)(11, 191)(12, 194)(13, 176)(14, 167)(15, 201)(16, 180)(17, 205)(18, 168)(19, 182)(20, 169)(21, 214)(22, 216)(23, 219)(24, 188)(25, 224)(26, 171)(27, 227)(28, 229)(29, 193)(30, 233)(31, 173)(32, 195)(33, 174)(34, 239)(35, 235)(36, 238)(37, 243)(38, 244)(39, 202)(40, 177)(41, 189)(42, 199)(43, 207)(44, 187)(45, 179)(46, 251)(47, 253)(48, 190)(49, 200)(50, 255)(51, 256)(52, 215)(53, 183)(54, 218)(55, 258)(56, 184)(57, 220)(58, 185)(59, 265)(60, 245)(61, 250)(62, 206)(63, 269)(64, 270)(65, 203)(66, 249)(67, 210)(68, 246)(69, 208)(70, 212)(71, 234)(72, 192)(73, 241)(74, 209)(75, 213)(76, 242)(77, 240)(78, 196)(79, 197)(80, 198)(81, 204)(82, 211)(83, 267)(84, 276)(85, 277)(86, 280)(87, 273)(88, 268)(89, 231)(90, 279)(91, 236)(92, 278)(93, 232)(94, 237)(95, 225)(96, 259)(97, 217)(98, 291)(99, 297)(100, 226)(101, 294)(102, 299)(103, 266)(104, 221)(105, 222)(106, 223)(107, 257)(108, 262)(109, 260)(110, 263)(111, 228)(112, 261)(113, 264)(114, 230)(115, 289)(116, 296)(117, 293)(118, 290)(119, 292)(120, 298)(121, 295)(122, 300)(123, 281)(124, 283)(125, 282)(126, 284)(127, 247)(128, 248)(129, 271)(130, 285)(131, 252)(132, 272)(133, 286)(134, 254)(135, 274)(136, 287)(137, 275)(138, 288)(139, 313)(140, 316)(141, 315)(142, 314)(143, 321)(144, 324)(145, 318)(146, 320)(147, 305)(148, 307)(149, 306)(150, 308)(151, 323)(152, 322)(153, 317)(154, 319)(155, 303)(156, 310)(157, 302)(158, 312)(159, 309)(160, 304)(161, 301)(162, 311)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2769
Transitivity :: ET+ VT+ AT
Graph::
	v = 27 e = 162 f = 81
	degree seq :: [ 12^27 ]

E28.2774 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 6, 6})
Quotient :: loop
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 10>)
Aut   = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^6, T2^-1 * T1 * T2^-1 * T1^-1 * T2^2 * T1^-1, T2 * T1^-1 * T2^2 * T1 * T2^-1 * T1 * T2^-2 * T1^-1, (T1^-1 * T2^-2 * T1^-1 * T2^-1)^2, T1^-1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 163, 3, 165, 9, 171, 25, 187, 15, 177, 5, 167)(2, 164, 6, 168, 17, 179, 44, 206, 21, 183, 7, 169)(4, 166, 11, 173, 30, 192, 66, 228, 34, 196, 12, 174)(8, 170, 22, 184, 52, 214, 49, 211, 20, 182, 23, 185)(10, 172, 27, 189, 61, 223, 111, 273, 64, 226, 28, 190)(13, 175, 35, 197, 71, 233, 126, 288, 72, 234, 36, 198)(14, 176, 37, 199, 29, 191, 65, 227, 77, 239, 38, 200)(16, 178, 41, 203, 82, 244, 69, 231, 33, 195, 42, 204)(18, 180, 26, 188, 60, 222, 110, 272, 92, 254, 46, 208)(19, 181, 47, 209, 93, 255, 145, 307, 94, 256, 48, 210)(24, 186, 56, 218, 106, 268, 105, 267, 55, 217, 57, 219)(31, 193, 45, 207, 90, 252, 142, 304, 120, 282, 67, 229)(32, 194, 68, 230, 121, 283, 130, 292, 78, 240, 39, 201)(40, 202, 79, 241, 73, 235, 127, 289, 132, 294, 80, 242)(43, 205, 86, 248, 138, 300, 137, 299, 85, 247, 87, 249)(50, 212, 97, 259, 54, 216, 104, 266, 147, 309, 98, 260)(51, 213, 99, 261, 76, 238, 113, 275, 63, 225, 100, 262)(53, 215, 59, 221, 109, 271, 131, 293, 152, 314, 103, 265)(58, 220, 75, 237, 129, 291, 154, 316, 107, 269, 108, 270)(62, 224, 102, 264, 150, 312, 128, 290, 74, 236, 112, 274)(70, 232, 124, 286, 84, 246, 136, 298, 149, 311, 101, 263)(81, 243, 133, 295, 96, 258, 143, 305, 91, 253, 134, 296)(83, 245, 89, 251, 141, 303, 114, 276, 157, 319, 135, 297)(88, 250, 95, 257, 146, 308, 161, 323, 139, 301, 140, 302)(115, 277, 148, 310, 123, 285, 153, 315, 119, 281, 151, 313)(116, 278, 118, 280, 155, 317, 144, 306, 162, 324, 158, 320)(117, 279, 122, 284, 156, 318, 160, 322, 125, 287, 159, 321)
	L = (1, 164)(2, 166)(3, 170)(4, 163)(5, 175)(6, 178)(7, 181)(8, 172)(9, 186)(10, 165)(11, 191)(12, 194)(13, 176)(14, 167)(15, 201)(16, 180)(17, 205)(18, 168)(19, 182)(20, 169)(21, 198)(22, 213)(23, 216)(24, 188)(25, 220)(26, 171)(27, 192)(28, 197)(29, 193)(30, 224)(31, 173)(32, 195)(33, 174)(34, 210)(35, 225)(36, 212)(37, 235)(38, 237)(39, 202)(40, 177)(41, 243)(42, 246)(43, 207)(44, 250)(45, 179)(46, 209)(47, 253)(48, 232)(49, 257)(50, 183)(51, 215)(52, 263)(53, 184)(54, 217)(55, 185)(56, 244)(57, 255)(58, 221)(59, 187)(60, 223)(61, 252)(62, 189)(63, 190)(64, 259)(65, 277)(66, 279)(67, 230)(68, 281)(69, 284)(70, 196)(71, 287)(72, 240)(73, 236)(74, 199)(75, 238)(76, 200)(77, 260)(78, 256)(79, 293)(80, 218)(81, 245)(82, 242)(83, 203)(84, 247)(85, 204)(86, 239)(87, 283)(88, 251)(89, 206)(90, 222)(91, 208)(92, 286)(93, 269)(94, 234)(95, 258)(96, 211)(97, 276)(98, 248)(99, 310)(100, 297)(101, 264)(102, 214)(103, 266)(104, 313)(105, 308)(106, 303)(107, 219)(108, 309)(109, 272)(110, 312)(111, 300)(112, 233)(113, 299)(114, 226)(115, 278)(116, 227)(117, 280)(118, 228)(119, 229)(120, 241)(121, 301)(122, 285)(123, 231)(124, 306)(125, 274)(126, 302)(127, 296)(128, 291)(129, 305)(130, 270)(131, 282)(132, 307)(133, 261)(134, 320)(135, 298)(136, 262)(137, 318)(138, 317)(139, 249)(140, 311)(141, 304)(142, 268)(143, 290)(144, 254)(145, 321)(146, 315)(147, 292)(148, 295)(149, 288)(150, 271)(151, 265)(152, 319)(153, 267)(154, 323)(155, 273)(156, 275)(157, 324)(158, 289)(159, 294)(160, 316)(161, 322)(162, 314)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2768
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 27 e = 162 f = 81
	degree seq :: [ 12^27 ]

E28.2775 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 6, 6})
Quotient :: loop
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 10>)
Aut   = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^6, T2^-1 * T1 * T2^2 * T1 * T2^-1 * T1^-1, T2^-1 * T1^-1 * T2^2 * T1 * T2 * T1 * T2^-2 * T1^-1, (T2^2 * T1^-1 * T2 * T1^-1)^2, T2^-1 * T1^-1 * T2^-3 * T1 * T2 * T1 * T2^-2 * T1 * T2^-1, (T2^-1 * T1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 163, 3, 165, 9, 171, 25, 187, 15, 177, 5, 167)(2, 164, 6, 168, 17, 179, 43, 205, 21, 183, 7, 169)(4, 166, 11, 173, 30, 192, 65, 227, 34, 196, 12, 174)(8, 170, 22, 184, 51, 213, 99, 261, 53, 215, 23, 185)(10, 172, 27, 189, 60, 222, 68, 230, 32, 194, 28, 190)(13, 175, 35, 197, 18, 180, 45, 207, 75, 237, 36, 198)(14, 176, 37, 199, 76, 238, 128, 290, 77, 239, 38, 200)(16, 178, 41, 203, 81, 243, 133, 295, 83, 245, 42, 204)(19, 181, 46, 208, 31, 193, 67, 229, 94, 256, 47, 209)(20, 182, 48, 210, 95, 257, 132, 294, 80, 242, 40, 202)(24, 186, 54, 216, 104, 266, 115, 277, 64, 226, 29, 191)(26, 188, 57, 219, 107, 269, 112, 274, 62, 224, 58, 220)(33, 195, 69, 231, 109, 271, 147, 309, 98, 260, 50, 212)(39, 201, 78, 240, 72, 234, 126, 288, 131, 293, 79, 241)(44, 206, 86, 248, 138, 300, 125, 287, 71, 233, 87, 249)(49, 211, 96, 258, 91, 253, 142, 304, 146, 308, 97, 259)(52, 214, 100, 262, 61, 223, 111, 273, 73, 235, 101, 263)(55, 217, 105, 267, 130, 292, 154, 316, 110, 272, 59, 221)(56, 218, 74, 236, 127, 289, 153, 315, 108, 270, 106, 268)(63, 225, 113, 275, 152, 314, 124, 286, 70, 232, 103, 265)(66, 228, 118, 280, 148, 310, 141, 303, 90, 252, 119, 281)(82, 244, 134, 296, 89, 251, 140, 302, 92, 254, 135, 297)(84, 246, 136, 298, 145, 307, 161, 323, 139, 301, 88, 250)(85, 247, 93, 255, 143, 305, 160, 322, 129, 291, 137, 299)(102, 264, 150, 312, 149, 311, 120, 282, 116, 278, 151, 313)(114, 276, 157, 319, 121, 283, 155, 317, 122, 284, 158, 320)(117, 279, 123, 285, 156, 318, 162, 324, 144, 306, 159, 321)
	L = (1, 164)(2, 166)(3, 170)(4, 163)(5, 175)(6, 178)(7, 181)(8, 172)(9, 186)(10, 165)(11, 191)(12, 194)(13, 176)(14, 167)(15, 201)(16, 180)(17, 184)(18, 168)(19, 182)(20, 169)(21, 211)(22, 206)(23, 214)(24, 188)(25, 217)(26, 171)(27, 221)(28, 224)(29, 193)(30, 203)(31, 173)(32, 195)(33, 174)(34, 232)(35, 233)(36, 235)(37, 185)(38, 196)(39, 202)(40, 177)(41, 228)(42, 244)(43, 246)(44, 179)(45, 250)(46, 252)(47, 254)(48, 204)(49, 212)(50, 183)(51, 216)(52, 199)(53, 264)(54, 243)(55, 218)(56, 187)(57, 241)(58, 270)(59, 223)(60, 248)(61, 189)(62, 225)(63, 190)(64, 276)(65, 278)(66, 192)(67, 282)(68, 284)(69, 226)(70, 200)(71, 234)(72, 197)(73, 236)(74, 198)(75, 280)(76, 249)(77, 260)(78, 245)(79, 256)(80, 239)(81, 213)(82, 210)(83, 292)(84, 247)(85, 205)(86, 259)(87, 291)(88, 251)(89, 207)(90, 253)(91, 208)(92, 255)(93, 209)(94, 219)(95, 281)(96, 277)(97, 222)(98, 242)(99, 298)(100, 304)(101, 305)(102, 265)(103, 215)(104, 267)(105, 300)(106, 294)(107, 295)(108, 271)(109, 220)(110, 296)(111, 317)(112, 297)(113, 272)(114, 231)(115, 307)(116, 279)(117, 227)(118, 286)(119, 306)(120, 283)(121, 229)(122, 285)(123, 230)(124, 237)(125, 320)(126, 301)(127, 287)(128, 308)(129, 238)(130, 240)(131, 299)(132, 314)(133, 313)(134, 275)(135, 318)(136, 310)(137, 309)(138, 266)(139, 319)(140, 273)(141, 263)(142, 311)(143, 303)(144, 257)(145, 258)(146, 321)(147, 293)(148, 261)(149, 262)(150, 316)(151, 269)(152, 268)(153, 322)(154, 323)(155, 302)(156, 274)(157, 288)(158, 289)(159, 290)(160, 324)(161, 312)(162, 315)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2770
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 27 e = 162 f = 81
	degree seq :: [ 12^27 ]

E28.2776 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 6, 6})
Quotient :: loop
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 10>)
Aut   = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, T1^6, (T2^-1 * T1^-3)^2, T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1, (T2^-1, T1^-1)^3, T1^-1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 163, 3, 165, 5, 167)(2, 164, 7, 169, 8, 170)(4, 166, 11, 173, 13, 175)(6, 168, 17, 179, 18, 180)(9, 171, 24, 186, 25, 187)(10, 172, 26, 188, 28, 190)(12, 174, 31, 193, 32, 194)(14, 176, 36, 198, 37, 199)(15, 177, 38, 200, 40, 202)(16, 178, 41, 203, 42, 204)(19, 181, 48, 210, 49, 211)(20, 182, 50, 212, 52, 214)(21, 183, 54, 216, 55, 217)(22, 184, 56, 218, 58, 220)(23, 185, 59, 221, 60, 222)(27, 189, 65, 227, 66, 228)(29, 191, 69, 231, 70, 232)(30, 192, 71, 233, 72, 234)(33, 195, 73, 235, 61, 223)(34, 196, 74, 236, 64, 226)(35, 197, 75, 237, 76, 238)(39, 201, 81, 243, 82, 244)(43, 205, 83, 245, 84, 246)(44, 206, 85, 247, 86, 248)(45, 207, 87, 249, 88, 250)(46, 208, 89, 251, 90, 252)(47, 209, 91, 253, 92, 254)(51, 213, 95, 257, 96, 258)(53, 215, 99, 261, 100, 262)(57, 219, 105, 267, 106, 268)(62, 224, 110, 272, 77, 239)(63, 225, 111, 273, 79, 241)(67, 229, 113, 275, 78, 240)(68, 230, 114, 276, 80, 242)(93, 255, 138, 300, 101, 263)(94, 256, 139, 301, 103, 265)(97, 259, 141, 303, 102, 264)(98, 260, 142, 304, 104, 266)(107, 269, 125, 287, 147, 309)(108, 270, 124, 286, 148, 310)(109, 271, 123, 285, 149, 311)(112, 274, 126, 288, 152, 314)(115, 277, 150, 312, 119, 281)(116, 278, 153, 315, 121, 283)(117, 279, 151, 313, 120, 282)(118, 280, 154, 316, 122, 284)(127, 289, 155, 317, 131, 293)(128, 290, 156, 318, 133, 295)(129, 291, 157, 319, 132, 294)(130, 292, 158, 320, 134, 296)(135, 297, 145, 307, 159, 321)(136, 298, 144, 306, 160, 322)(137, 299, 143, 305, 161, 323)(140, 302, 146, 308, 162, 324)
	L = (1, 164)(2, 168)(3, 171)(4, 163)(5, 176)(6, 178)(7, 181)(8, 183)(9, 185)(10, 165)(11, 191)(12, 166)(13, 195)(14, 197)(15, 167)(16, 174)(17, 205)(18, 207)(19, 209)(20, 169)(21, 215)(22, 170)(23, 204)(24, 217)(25, 224)(26, 220)(27, 172)(28, 229)(29, 208)(30, 173)(31, 219)(32, 213)(33, 206)(34, 175)(35, 203)(36, 239)(37, 210)(38, 241)(39, 177)(40, 212)(41, 201)(42, 189)(43, 196)(44, 179)(45, 192)(46, 180)(47, 194)(48, 250)(49, 255)(50, 252)(51, 182)(52, 259)(53, 193)(54, 263)(55, 245)(56, 265)(57, 184)(58, 247)(59, 269)(60, 261)(61, 186)(62, 271)(63, 187)(64, 188)(65, 274)(66, 267)(67, 270)(68, 190)(69, 199)(70, 277)(71, 202)(72, 279)(73, 281)(74, 283)(75, 254)(76, 285)(77, 287)(78, 198)(79, 286)(80, 200)(81, 258)(82, 288)(83, 228)(84, 289)(85, 222)(86, 291)(87, 293)(88, 243)(89, 295)(90, 237)(91, 297)(92, 233)(93, 299)(94, 211)(95, 302)(96, 231)(97, 298)(98, 214)(99, 226)(100, 305)(101, 307)(102, 216)(103, 306)(104, 218)(105, 223)(106, 308)(107, 230)(108, 221)(109, 227)(110, 300)(111, 303)(112, 225)(113, 301)(114, 304)(115, 294)(116, 232)(117, 296)(118, 234)(119, 290)(120, 235)(121, 292)(122, 236)(123, 242)(124, 238)(125, 244)(126, 240)(127, 282)(128, 246)(129, 284)(130, 248)(131, 278)(132, 249)(133, 280)(134, 251)(135, 260)(136, 253)(137, 257)(138, 317)(139, 319)(140, 256)(141, 318)(142, 320)(143, 266)(144, 262)(145, 268)(146, 264)(147, 323)(148, 322)(149, 321)(150, 272)(151, 273)(152, 324)(153, 275)(154, 276)(155, 314)(156, 311)(157, 309)(158, 310)(159, 313)(160, 316)(161, 315)(162, 312)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2771
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 54 e = 162 f = 54
	degree seq :: [ 6^54 ]

E28.2777 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 10>)
Aut   = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^6, R * Y1^-1 * Y2^-2 * Y3^-1 * R * Y2^-2, Y2^-1 * Y1 * Y2^-3 * Y3^-1 * Y2^-2, Y3 * Y2^-3 * Y1^-1 * Y2^-3, Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y3 * Y2^-1 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1, Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1, (Y2^-1 * Y1)^6, Y2 * Y1 * Y2 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1, Y2^-1 * Y1 * Y2 * Y3 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1, Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y3^-1 * Y2 * Y1^-1, Y2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 ]
Map::
	R = (1, 163, 2, 164, 4, 166)(3, 165, 8, 170, 10, 172)(5, 167, 13, 175, 14, 176)(6, 168, 16, 178, 18, 180)(7, 169, 19, 181, 20, 182)(9, 171, 24, 186, 26, 188)(11, 173, 29, 191, 31, 193)(12, 174, 32, 194, 33, 195)(15, 177, 39, 201, 40, 202)(17, 179, 43, 205, 45, 207)(21, 183, 52, 214, 53, 215)(22, 184, 54, 216, 56, 218)(23, 185, 57, 219, 58, 220)(25, 187, 62, 224, 44, 206)(27, 189, 65, 227, 41, 203)(28, 190, 67, 229, 48, 210)(30, 192, 71, 233, 72, 234)(34, 196, 77, 239, 78, 240)(35, 197, 73, 235, 79, 241)(36, 198, 76, 238, 80, 242)(37, 199, 81, 243, 42, 204)(38, 200, 82, 244, 49, 211)(46, 208, 89, 251, 69, 231)(47, 209, 91, 253, 74, 236)(50, 212, 93, 255, 70, 232)(51, 213, 94, 256, 75, 237)(55, 217, 96, 258, 97, 259)(59, 221, 103, 265, 104, 266)(60, 222, 83, 245, 105, 267)(61, 223, 88, 250, 106, 268)(63, 225, 107, 269, 95, 257)(64, 226, 108, 270, 100, 262)(66, 228, 87, 249, 111, 273)(68, 230, 84, 246, 114, 276)(85, 247, 115, 277, 127, 289)(86, 248, 118, 280, 128, 290)(90, 252, 117, 279, 131, 293)(92, 254, 116, 278, 134, 296)(98, 260, 129, 291, 109, 271)(99, 261, 135, 297, 112, 274)(101, 263, 132, 294, 110, 272)(102, 264, 137, 299, 113, 275)(119, 281, 130, 292, 123, 285)(120, 282, 136, 298, 125, 287)(121, 283, 133, 295, 124, 286)(122, 284, 138, 300, 126, 288)(139, 301, 151, 313, 161, 323)(140, 302, 154, 316, 157, 319)(141, 303, 153, 315, 155, 317)(142, 304, 152, 314, 160, 322)(143, 305, 159, 321, 147, 309)(144, 306, 162, 324, 149, 311)(145, 307, 156, 318, 148, 310)(146, 308, 158, 320, 150, 312)(325, 487, 327, 489, 333, 495, 349, 511, 339, 501, 329, 491)(326, 488, 330, 492, 341, 503, 368, 530, 345, 507, 331, 493)(328, 490, 335, 497, 354, 516, 386, 548, 358, 520, 336, 498)(332, 494, 346, 508, 379, 541, 364, 526, 383, 545, 347, 509)(334, 496, 351, 513, 390, 552, 363, 525, 392, 554, 352, 514)(337, 499, 359, 521, 388, 550, 350, 512, 387, 549, 360, 522)(338, 500, 361, 523, 385, 547, 348, 510, 384, 546, 362, 524)(340, 502, 365, 527, 407, 569, 377, 539, 408, 570, 366, 528)(342, 504, 370, 532, 414, 576, 376, 538, 416, 578, 371, 533)(343, 505, 372, 534, 412, 574, 369, 531, 411, 573, 373, 535)(344, 506, 374, 536, 410, 572, 367, 529, 409, 571, 375, 537)(353, 515, 393, 555, 439, 601, 402, 564, 440, 602, 394, 556)(355, 517, 378, 540, 419, 581, 401, 563, 428, 590, 397, 559)(356, 518, 398, 560, 442, 604, 396, 558, 441, 603, 399, 561)(357, 519, 381, 543, 424, 586, 395, 557, 421, 583, 400, 562)(380, 542, 422, 584, 465, 627, 427, 589, 466, 628, 423, 585)(382, 544, 425, 587, 464, 626, 420, 582, 463, 625, 426, 588)(389, 551, 433, 595, 475, 637, 438, 600, 476, 638, 434, 596)(391, 553, 436, 598, 478, 640, 435, 597, 477, 639, 437, 599)(403, 565, 443, 605, 472, 634, 431, 593, 471, 633, 444, 606)(404, 566, 445, 607, 474, 636, 432, 594, 473, 635, 446, 608)(405, 567, 447, 609, 468, 630, 429, 591, 467, 629, 448, 610)(406, 568, 449, 611, 470, 632, 430, 592, 469, 631, 450, 612)(413, 575, 453, 615, 483, 645, 458, 620, 484, 646, 454, 616)(415, 577, 456, 618, 486, 648, 455, 617, 485, 647, 457, 619)(417, 579, 459, 621, 480, 642, 451, 613, 479, 641, 460, 622)(418, 580, 461, 623, 482, 644, 452, 614, 481, 643, 462, 624)
	L = (1, 328)(2, 325)(3, 334)(4, 326)(5, 338)(6, 342)(7, 344)(8, 327)(9, 350)(10, 332)(11, 355)(12, 357)(13, 329)(14, 337)(15, 364)(16, 330)(17, 369)(18, 340)(19, 331)(20, 343)(21, 377)(22, 380)(23, 382)(24, 333)(25, 368)(26, 348)(27, 365)(28, 372)(29, 335)(30, 396)(31, 353)(32, 336)(33, 356)(34, 402)(35, 403)(36, 404)(37, 366)(38, 373)(39, 339)(40, 363)(41, 389)(42, 405)(43, 341)(44, 386)(45, 367)(46, 393)(47, 398)(48, 391)(49, 406)(50, 394)(51, 399)(52, 345)(53, 376)(54, 346)(55, 421)(56, 378)(57, 347)(58, 381)(59, 428)(60, 429)(61, 430)(62, 349)(63, 419)(64, 424)(65, 351)(66, 435)(67, 352)(68, 438)(69, 413)(70, 417)(71, 354)(72, 395)(73, 359)(74, 415)(75, 418)(76, 360)(77, 358)(78, 401)(79, 397)(80, 400)(81, 361)(82, 362)(83, 384)(84, 392)(85, 451)(86, 452)(87, 390)(88, 385)(89, 370)(90, 455)(91, 371)(92, 458)(93, 374)(94, 375)(95, 431)(96, 379)(97, 420)(98, 433)(99, 436)(100, 432)(101, 434)(102, 437)(103, 383)(104, 427)(105, 407)(106, 412)(107, 387)(108, 388)(109, 453)(110, 456)(111, 411)(112, 459)(113, 461)(114, 408)(115, 409)(116, 416)(117, 414)(118, 410)(119, 447)(120, 449)(121, 448)(122, 450)(123, 454)(124, 457)(125, 460)(126, 462)(127, 439)(128, 442)(129, 422)(130, 443)(131, 441)(132, 425)(133, 445)(134, 440)(135, 423)(136, 444)(137, 426)(138, 446)(139, 485)(140, 481)(141, 479)(142, 484)(143, 471)(144, 473)(145, 472)(146, 474)(147, 483)(148, 480)(149, 486)(150, 482)(151, 463)(152, 466)(153, 465)(154, 464)(155, 477)(156, 469)(157, 478)(158, 470)(159, 467)(160, 476)(161, 475)(162, 468)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2785
Graph:: bipartite
	v = 81 e = 324 f = 189
	degree seq :: [ 6^54, 12^27 ]

E28.2778 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 10>)
Aut   = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y3 * Y1^-2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^6, Y2 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2, Y2^-1 * Y1 * Y2^-1 * Y3^-2 * Y2^2 * Y1^-1, Y3 * Y2^-2 * Y3 * Y2^-1 * Y1^-1 * Y2^-2 * Y1^-1 * Y2^-1, Y2^-1 * Y1 * Y2^2 * Y1^-1 * Y2 * Y1^-1 * Y2^-2 * Y3^-1, Y2^2 * Y1 * Y2^-1 * Y3^-1 * Y2^-2 * Y1^-1 * Y2 * Y1^-1, Y2 * Y3 * Y2^-2 * Y1 * Y2^-1 * Y3^-1 * Y2^2 * Y1^-1, Y2^-2 * Y3 * Y2 * Y3 * Y2^2 * Y3^-1 * Y2^-1 * Y3^-1, Y1^-1 * Y2 * Y3^-1 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1, (Y3 * Y2^-1)^6, Y2^2 * Y1 * Y2^2 * Y1 * Y2^-1 * Y3^-1 * Y2^3 * Y1^-1 ]
Map::
	R = (1, 163, 2, 164, 4, 166)(3, 165, 8, 170, 10, 172)(5, 167, 13, 175, 14, 176)(6, 168, 16, 178, 18, 180)(7, 169, 19, 181, 20, 182)(9, 171, 24, 186, 26, 188)(11, 173, 29, 191, 31, 193)(12, 174, 32, 194, 33, 195)(15, 177, 39, 201, 40, 202)(17, 179, 43, 205, 45, 207)(21, 183, 36, 198, 50, 212)(22, 184, 51, 213, 53, 215)(23, 185, 54, 216, 55, 217)(25, 187, 58, 220, 59, 221)(27, 189, 30, 192, 62, 224)(28, 190, 35, 197, 63, 225)(34, 196, 48, 210, 70, 232)(37, 199, 73, 235, 74, 236)(38, 200, 75, 237, 76, 238)(41, 203, 81, 243, 83, 245)(42, 204, 84, 246, 85, 247)(44, 206, 88, 250, 89, 251)(46, 208, 47, 209, 91, 253)(49, 211, 95, 257, 96, 258)(52, 214, 101, 263, 102, 264)(56, 218, 82, 244, 80, 242)(57, 219, 93, 255, 107, 269)(60, 222, 61, 223, 90, 252)(64, 226, 97, 259, 114, 276)(65, 227, 115, 277, 116, 278)(66, 228, 117, 279, 118, 280)(67, 229, 68, 230, 119, 281)(69, 231, 122, 284, 123, 285)(71, 233, 125, 287, 112, 274)(72, 234, 78, 240, 94, 256)(77, 239, 98, 260, 86, 248)(79, 241, 131, 293, 120, 282)(87, 249, 121, 283, 139, 301)(92, 254, 124, 286, 144, 306)(99, 261, 148, 310, 133, 295)(100, 262, 135, 297, 136, 298)(103, 265, 104, 266, 151, 313)(105, 267, 146, 308, 153, 315)(106, 268, 141, 303, 142, 304)(108, 270, 147, 309, 130, 292)(109, 271, 110, 272, 150, 312)(111, 273, 138, 300, 155, 317)(113, 275, 137, 299, 156, 318)(126, 288, 140, 302, 149, 311)(127, 289, 134, 296, 158, 320)(128, 290, 129, 291, 143, 305)(132, 294, 145, 307, 159, 321)(152, 314, 157, 319, 162, 324)(154, 316, 161, 323, 160, 322)(325, 487, 327, 489, 333, 495, 349, 511, 339, 501, 329, 491)(326, 488, 330, 492, 341, 503, 368, 530, 345, 507, 331, 493)(328, 490, 335, 497, 354, 516, 390, 552, 358, 520, 336, 498)(332, 494, 346, 508, 376, 538, 373, 535, 344, 506, 347, 509)(334, 496, 351, 513, 385, 547, 435, 597, 388, 550, 352, 514)(337, 499, 359, 521, 395, 557, 450, 612, 396, 558, 360, 522)(338, 500, 361, 523, 353, 515, 389, 551, 401, 563, 362, 524)(340, 502, 365, 527, 406, 568, 393, 555, 357, 519, 366, 528)(342, 504, 350, 512, 384, 546, 434, 596, 416, 578, 370, 532)(343, 505, 371, 533, 417, 579, 469, 631, 418, 580, 372, 534)(348, 510, 380, 542, 430, 592, 429, 591, 379, 541, 381, 543)(355, 517, 369, 531, 414, 576, 466, 628, 444, 606, 391, 553)(356, 518, 392, 554, 445, 607, 454, 616, 402, 564, 363, 525)(364, 526, 403, 565, 397, 559, 451, 613, 456, 618, 404, 566)(367, 529, 410, 572, 462, 624, 461, 623, 409, 571, 411, 573)(374, 536, 421, 583, 378, 540, 428, 590, 471, 633, 422, 584)(375, 537, 423, 585, 400, 562, 437, 599, 387, 549, 424, 586)(377, 539, 383, 545, 433, 595, 455, 617, 476, 638, 427, 589)(382, 544, 399, 561, 453, 615, 478, 640, 431, 593, 432, 594)(386, 548, 426, 588, 474, 636, 452, 614, 398, 560, 436, 598)(394, 556, 448, 610, 408, 570, 460, 622, 473, 635, 425, 587)(405, 567, 457, 619, 420, 582, 467, 629, 415, 577, 458, 620)(407, 569, 413, 575, 465, 627, 438, 600, 481, 643, 459, 621)(412, 574, 419, 581, 470, 632, 485, 647, 463, 625, 464, 626)(439, 601, 472, 634, 447, 609, 477, 639, 443, 605, 475, 637)(440, 602, 442, 604, 479, 641, 468, 630, 486, 648, 482, 644)(441, 603, 446, 608, 480, 642, 484, 646, 449, 611, 483, 645)
	L = (1, 328)(2, 325)(3, 334)(4, 326)(5, 338)(6, 342)(7, 344)(8, 327)(9, 350)(10, 332)(11, 355)(12, 357)(13, 329)(14, 337)(15, 364)(16, 330)(17, 369)(18, 340)(19, 331)(20, 343)(21, 374)(22, 377)(23, 379)(24, 333)(25, 383)(26, 348)(27, 386)(28, 387)(29, 335)(30, 351)(31, 353)(32, 336)(33, 356)(34, 394)(35, 352)(36, 345)(37, 398)(38, 400)(39, 339)(40, 363)(41, 407)(42, 409)(43, 341)(44, 413)(45, 367)(46, 415)(47, 370)(48, 358)(49, 420)(50, 360)(51, 346)(52, 426)(53, 375)(54, 347)(55, 378)(56, 404)(57, 431)(58, 349)(59, 382)(60, 414)(61, 384)(62, 354)(63, 359)(64, 438)(65, 440)(66, 442)(67, 443)(68, 391)(69, 447)(70, 372)(71, 436)(72, 418)(73, 361)(74, 397)(75, 362)(76, 399)(77, 410)(78, 396)(79, 444)(80, 406)(81, 365)(82, 380)(83, 405)(84, 366)(85, 408)(86, 422)(87, 463)(88, 368)(89, 412)(90, 385)(91, 371)(92, 468)(93, 381)(94, 402)(95, 373)(96, 419)(97, 388)(98, 401)(99, 457)(100, 460)(101, 376)(102, 425)(103, 475)(104, 427)(105, 477)(106, 466)(107, 417)(108, 454)(109, 474)(110, 433)(111, 479)(112, 449)(113, 480)(114, 421)(115, 389)(116, 439)(117, 390)(118, 441)(119, 392)(120, 455)(121, 411)(122, 393)(123, 446)(124, 416)(125, 395)(126, 473)(127, 482)(128, 467)(129, 452)(130, 471)(131, 403)(132, 483)(133, 472)(134, 451)(135, 424)(136, 459)(137, 437)(138, 435)(139, 445)(140, 450)(141, 430)(142, 465)(143, 453)(144, 448)(145, 456)(146, 429)(147, 432)(148, 423)(149, 464)(150, 434)(151, 428)(152, 486)(153, 470)(154, 484)(155, 462)(156, 461)(157, 476)(158, 458)(159, 469)(160, 485)(161, 478)(162, 481)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2784
Graph:: bipartite
	v = 81 e = 324 f = 189
	degree seq :: [ 6^54, 12^27 ]

E28.2779 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 10>)
Aut   = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y3 * Y1, Y3 * Y1^-2, Y3^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^6, Y2 * Y1 * Y2 * Y3 * Y2^-2 * Y1^-1, Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2, Y3^-1 * Y2^-2 * R * Y2^-1 * Y1^-1 * Y2^-1 * R, Y3 * Y2^-1 * Y3 * Y2^2 * Y3^-1 * Y2 * Y3^-1 * Y2^-2, Y2^-1 * Y3 * Y2^-2 * Y1 * Y2 * Y3^-1 * Y2^2 * Y1^-1, Y2^2 * Y3 * Y2 * Y3 * Y2^2 * Y1^-1 * Y2 * Y1^-1, Y2^-1 * Y3 * Y2^2 * Y1 * Y2 * Y1 * Y2^-2 * Y1^-1, Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y3^-1 * Y2^-2 * Y3^-1, Y2^-1 * Y3 * Y2^-3 * Y1 * Y2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-1, (Y3 * Y2^-1)^6, Y3 * Y2 * Y3 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1, Y2 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map::
	R = (1, 163, 2, 164, 4, 166)(3, 165, 8, 170, 10, 172)(5, 167, 13, 175, 14, 176)(6, 168, 16, 178, 18, 180)(7, 169, 19, 181, 20, 182)(9, 171, 24, 186, 26, 188)(11, 173, 29, 191, 31, 193)(12, 174, 32, 194, 33, 195)(15, 177, 39, 201, 40, 202)(17, 179, 22, 184, 44, 206)(21, 183, 49, 211, 50, 212)(23, 185, 52, 214, 37, 199)(25, 187, 55, 217, 56, 218)(27, 189, 59, 221, 61, 223)(28, 190, 62, 224, 63, 225)(30, 192, 41, 203, 66, 228)(34, 196, 70, 232, 38, 200)(35, 197, 71, 233, 72, 234)(36, 198, 73, 235, 74, 236)(42, 204, 82, 244, 48, 210)(43, 205, 84, 246, 85, 247)(45, 207, 88, 250, 89, 251)(46, 208, 90, 252, 91, 253)(47, 209, 92, 254, 93, 255)(51, 213, 54, 216, 81, 243)(53, 215, 102, 264, 103, 265)(57, 219, 79, 241, 94, 256)(58, 220, 108, 270, 109, 271)(60, 222, 86, 248, 97, 259)(64, 226, 114, 276, 69, 231)(65, 227, 116, 278, 117, 279)(67, 229, 120, 282, 121, 283)(68, 230, 122, 284, 123, 285)(75, 237, 118, 280, 124, 286)(76, 238, 87, 249, 129, 291)(77, 239, 98, 260, 80, 242)(78, 240, 83, 245, 130, 292)(95, 257, 119, 281, 144, 306)(96, 258, 115, 277, 145, 307)(99, 261, 136, 298, 148, 310)(100, 262, 142, 304, 149, 311)(101, 263, 143, 305, 141, 303)(104, 266, 105, 267, 138, 300)(106, 268, 132, 294, 152, 314)(107, 269, 133, 295, 151, 313)(110, 272, 134, 296, 113, 275)(111, 273, 155, 317, 140, 302)(112, 274, 135, 297, 156, 318)(125, 287, 158, 320, 127, 289)(126, 288, 139, 301, 157, 319)(128, 290, 146, 308, 159, 321)(131, 293, 137, 299, 147, 309)(150, 312, 154, 316, 161, 323)(153, 315, 160, 322, 162, 324)(325, 487, 327, 489, 333, 495, 349, 511, 339, 501, 329, 491)(326, 488, 330, 492, 341, 503, 367, 529, 345, 507, 331, 493)(328, 490, 335, 497, 354, 516, 389, 551, 358, 520, 336, 498)(332, 494, 346, 508, 375, 537, 423, 585, 377, 539, 347, 509)(334, 496, 351, 513, 384, 546, 392, 554, 356, 518, 352, 514)(337, 499, 359, 521, 342, 504, 369, 531, 399, 561, 360, 522)(338, 500, 361, 523, 400, 562, 452, 614, 401, 563, 362, 524)(340, 502, 365, 527, 405, 567, 457, 619, 407, 569, 366, 528)(343, 505, 370, 532, 355, 517, 391, 553, 418, 580, 371, 533)(344, 506, 372, 534, 419, 581, 456, 618, 404, 566, 364, 526)(348, 510, 378, 540, 428, 590, 439, 601, 388, 550, 353, 515)(350, 512, 381, 543, 431, 593, 436, 598, 386, 548, 382, 544)(357, 519, 393, 555, 433, 595, 471, 633, 422, 584, 374, 536)(363, 525, 402, 564, 396, 558, 450, 612, 455, 617, 403, 565)(368, 530, 410, 572, 462, 624, 449, 611, 395, 557, 411, 573)(373, 535, 420, 582, 415, 577, 466, 628, 470, 632, 421, 583)(376, 538, 424, 586, 385, 547, 435, 597, 397, 559, 425, 587)(379, 541, 429, 591, 454, 616, 478, 640, 434, 596, 383, 545)(380, 542, 398, 560, 451, 613, 477, 639, 432, 594, 430, 592)(387, 549, 437, 599, 476, 638, 448, 610, 394, 556, 427, 589)(390, 552, 442, 604, 472, 634, 465, 627, 414, 576, 443, 605)(406, 568, 458, 620, 413, 575, 464, 626, 416, 578, 459, 621)(408, 570, 460, 622, 469, 631, 485, 647, 463, 625, 412, 574)(409, 571, 417, 579, 467, 629, 484, 646, 453, 615, 461, 623)(426, 588, 474, 636, 473, 635, 444, 606, 440, 602, 475, 637)(438, 600, 481, 643, 445, 607, 479, 641, 446, 608, 482, 644)(441, 603, 447, 609, 480, 642, 486, 648, 468, 630, 483, 645)
	L = (1, 328)(2, 325)(3, 334)(4, 326)(5, 338)(6, 342)(7, 344)(8, 327)(9, 350)(10, 332)(11, 355)(12, 357)(13, 329)(14, 337)(15, 364)(16, 330)(17, 368)(18, 340)(19, 331)(20, 343)(21, 374)(22, 341)(23, 361)(24, 333)(25, 380)(26, 348)(27, 385)(28, 387)(29, 335)(30, 390)(31, 353)(32, 336)(33, 356)(34, 362)(35, 396)(36, 398)(37, 376)(38, 394)(39, 339)(40, 363)(41, 354)(42, 372)(43, 409)(44, 346)(45, 413)(46, 415)(47, 417)(48, 406)(49, 345)(50, 373)(51, 405)(52, 347)(53, 427)(54, 375)(55, 349)(56, 379)(57, 418)(58, 433)(59, 351)(60, 421)(61, 383)(62, 352)(63, 386)(64, 393)(65, 441)(66, 365)(67, 445)(68, 447)(69, 438)(70, 358)(71, 359)(72, 395)(73, 360)(74, 397)(75, 448)(76, 453)(77, 404)(78, 454)(79, 381)(80, 422)(81, 378)(82, 366)(83, 402)(84, 367)(85, 408)(86, 384)(87, 400)(88, 369)(89, 412)(90, 370)(91, 414)(92, 371)(93, 416)(94, 403)(95, 468)(96, 469)(97, 410)(98, 401)(99, 472)(100, 473)(101, 465)(102, 377)(103, 426)(104, 462)(105, 428)(106, 476)(107, 475)(108, 382)(109, 432)(110, 437)(111, 464)(112, 480)(113, 458)(114, 388)(115, 420)(116, 389)(117, 440)(118, 399)(119, 419)(120, 391)(121, 444)(122, 392)(123, 446)(124, 442)(125, 451)(126, 481)(127, 482)(128, 483)(129, 411)(130, 407)(131, 471)(132, 430)(133, 431)(134, 434)(135, 436)(136, 423)(137, 455)(138, 429)(139, 450)(140, 479)(141, 467)(142, 424)(143, 425)(144, 443)(145, 439)(146, 452)(147, 461)(148, 460)(149, 466)(150, 485)(151, 457)(152, 456)(153, 486)(154, 474)(155, 435)(156, 459)(157, 463)(158, 449)(159, 470)(160, 477)(161, 478)(162, 484)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2786
Graph:: bipartite
	v = 81 e = 324 f = 189
	degree seq :: [ 6^54, 12^27 ]

E28.2780 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 11>)
Aut   = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^3, (R * Y1)^2, (R * Y3)^2, Y2^6, (R * Y2 * Y3^-1)^2, Y3 * Y2^-3 * Y1^-1 * Y2^-3, (Y1^-1, Y2^-1, Y1^-1), Y2^-1 * Y1 * Y2^-3 * Y3^-1 * Y2^-2, Y2 * Y3 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y3 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1 * Y2^-1, Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 163, 2, 164, 4, 166)(3, 165, 8, 170, 10, 172)(5, 167, 13, 175, 14, 176)(6, 168, 16, 178, 18, 180)(7, 169, 19, 181, 20, 182)(9, 171, 24, 186, 26, 188)(11, 173, 29, 191, 31, 193)(12, 174, 32, 194, 33, 195)(15, 177, 39, 201, 40, 202)(17, 179, 43, 205, 45, 207)(21, 183, 52, 214, 53, 215)(22, 184, 54, 216, 56, 218)(23, 185, 42, 204, 57, 219)(25, 187, 61, 223, 44, 206)(27, 189, 64, 226, 66, 228)(28, 190, 47, 209, 67, 229)(30, 192, 70, 232, 71, 233)(34, 196, 77, 239, 78, 240)(35, 197, 48, 210, 73, 235)(36, 198, 79, 241, 80, 242)(37, 199, 50, 212, 75, 237)(38, 200, 81, 243, 82, 244)(41, 203, 83, 245, 85, 247)(46, 208, 91, 253, 93, 255)(49, 211, 95, 257, 96, 258)(51, 213, 97, 259, 98, 260)(55, 217, 101, 263, 84, 246)(58, 220, 105, 267, 106, 268)(59, 221, 107, 269, 87, 249)(60, 222, 100, 262, 108, 270)(62, 224, 109, 271, 89, 251)(63, 225, 103, 265, 110, 272)(65, 227, 112, 274, 92, 254)(68, 230, 115, 277, 116, 278)(69, 231, 117, 279, 118, 280)(72, 234, 121, 283, 122, 284)(74, 236, 123, 285, 124, 286)(76, 238, 125, 287, 126, 288)(86, 248, 131, 293, 132, 294)(88, 250, 128, 290, 133, 295)(90, 252, 130, 292, 134, 296)(94, 256, 137, 299, 138, 300)(99, 261, 139, 301, 127, 289)(102, 264, 141, 303, 129, 291)(104, 266, 143, 305, 144, 306)(111, 273, 147, 309, 135, 297)(113, 275, 148, 310, 136, 298)(114, 276, 149, 311, 150, 312)(119, 281, 151, 313, 153, 315)(120, 282, 152, 314, 154, 316)(140, 302, 155, 317, 159, 321)(142, 304, 156, 318, 160, 322)(145, 307, 157, 319, 161, 323)(146, 308, 158, 320, 162, 324)(325, 487, 327, 489, 333, 495, 349, 511, 339, 501, 329, 491)(326, 488, 330, 492, 341, 503, 368, 530, 345, 507, 331, 493)(328, 490, 335, 497, 354, 516, 385, 547, 358, 520, 336, 498)(332, 494, 346, 508, 379, 541, 364, 526, 382, 544, 347, 509)(334, 496, 351, 513, 389, 551, 363, 525, 392, 554, 352, 514)(337, 499, 359, 521, 387, 549, 350, 512, 386, 548, 360, 522)(338, 500, 361, 523, 384, 546, 348, 510, 383, 545, 362, 524)(340, 502, 365, 527, 408, 570, 377, 539, 410, 572, 366, 528)(342, 504, 370, 532, 416, 578, 376, 538, 418, 580, 371, 533)(343, 505, 372, 534, 414, 576, 369, 531, 413, 575, 373, 535)(344, 506, 374, 536, 412, 574, 367, 529, 411, 573, 375, 537)(353, 515, 393, 555, 425, 587, 402, 564, 428, 590, 381, 543)(355, 517, 396, 558, 436, 598, 401, 563, 438, 600, 391, 553)(356, 518, 397, 559, 444, 606, 395, 557, 433, 595, 398, 560)(357, 519, 399, 561, 443, 605, 394, 556, 431, 593, 400, 562)(378, 540, 423, 585, 406, 568, 430, 592, 464, 626, 424, 586)(380, 542, 426, 588, 404, 566, 429, 591, 466, 628, 427, 589)(388, 550, 435, 597, 405, 567, 440, 602, 469, 631, 432, 594)(390, 552, 437, 599, 403, 565, 439, 601, 470, 632, 434, 596)(407, 569, 451, 613, 422, 584, 456, 618, 479, 641, 452, 614)(409, 571, 453, 615, 420, 582, 455, 617, 480, 642, 454, 616)(415, 577, 459, 621, 421, 583, 462, 624, 481, 643, 457, 619)(417, 579, 460, 622, 419, 581, 461, 623, 482, 644, 458, 620)(441, 603, 463, 625, 450, 612, 468, 630, 483, 645, 475, 637)(442, 604, 465, 627, 448, 610, 467, 629, 484, 646, 476, 638)(445, 607, 471, 633, 449, 611, 474, 636, 485, 647, 477, 639)(446, 608, 472, 634, 447, 609, 473, 635, 486, 648, 478, 640)
	L = (1, 328)(2, 325)(3, 334)(4, 326)(5, 338)(6, 342)(7, 344)(8, 327)(9, 350)(10, 332)(11, 355)(12, 357)(13, 329)(14, 337)(15, 364)(16, 330)(17, 369)(18, 340)(19, 331)(20, 343)(21, 377)(22, 380)(23, 381)(24, 333)(25, 368)(26, 348)(27, 390)(28, 391)(29, 335)(30, 395)(31, 353)(32, 336)(33, 356)(34, 402)(35, 397)(36, 404)(37, 399)(38, 406)(39, 339)(40, 363)(41, 409)(42, 347)(43, 341)(44, 385)(45, 367)(46, 417)(47, 352)(48, 359)(49, 420)(50, 361)(51, 422)(52, 345)(53, 376)(54, 346)(55, 408)(56, 378)(57, 366)(58, 430)(59, 411)(60, 432)(61, 349)(62, 413)(63, 434)(64, 351)(65, 416)(66, 388)(67, 371)(68, 440)(69, 442)(70, 354)(71, 394)(72, 446)(73, 372)(74, 448)(75, 374)(76, 450)(77, 358)(78, 401)(79, 360)(80, 403)(81, 362)(82, 405)(83, 365)(84, 425)(85, 407)(86, 456)(87, 431)(88, 457)(89, 433)(90, 458)(91, 370)(92, 436)(93, 415)(94, 462)(95, 373)(96, 419)(97, 375)(98, 421)(99, 451)(100, 384)(101, 379)(102, 453)(103, 387)(104, 468)(105, 382)(106, 429)(107, 383)(108, 424)(109, 386)(110, 427)(111, 459)(112, 389)(113, 460)(114, 474)(115, 392)(116, 439)(117, 393)(118, 441)(119, 477)(120, 478)(121, 396)(122, 445)(123, 398)(124, 447)(125, 400)(126, 449)(127, 463)(128, 412)(129, 465)(130, 414)(131, 410)(132, 455)(133, 452)(134, 454)(135, 471)(136, 472)(137, 418)(138, 461)(139, 423)(140, 483)(141, 426)(142, 484)(143, 428)(144, 467)(145, 485)(146, 486)(147, 435)(148, 437)(149, 438)(150, 473)(151, 443)(152, 444)(153, 475)(154, 476)(155, 464)(156, 466)(157, 469)(158, 470)(159, 479)(160, 480)(161, 481)(162, 482)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2783
Graph:: bipartite
	v = 81 e = 324 f = 189
	degree seq :: [ 6^54, 12^27 ]

E28.2781 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 10>)
Aut   = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y1^-1 * Y2^-1)^3, Y1^6, (Y2^2 * Y1^-1)^2, (Y3^-1 * Y1^-1)^3, Y2^6, Y1^-3 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1, Y2^-1 * Y1^-2 * Y2^2 * Y1^2 * Y2^-1, Y2^2 * Y1 * Y2^2 * Y1^-3, Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^2 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y1^-1 * Y2^-1 * Y1^-2 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y1^-1 ]
Map::
	R = (1, 163, 2, 164, 6, 168, 18, 180, 13, 175, 4, 166)(3, 165, 9, 171, 27, 189, 56, 218, 33, 195, 11, 173)(5, 167, 15, 177, 42, 204, 69, 231, 45, 207, 16, 178)(7, 169, 21, 183, 55, 217, 94, 256, 60, 222, 23, 185)(8, 170, 24, 186, 62, 224, 44, 206, 65, 227, 25, 187)(10, 172, 30, 192, 50, 212, 41, 203, 66, 228, 26, 188)(12, 174, 35, 197, 72, 234, 29, 191, 71, 233, 37, 199)(14, 176, 40, 202, 87, 249, 121, 283, 70, 232, 28, 190)(17, 179, 36, 198, 54, 216, 22, 184, 57, 219, 46, 208)(19, 181, 49, 211, 93, 255, 140, 302, 97, 259, 51, 213)(20, 182, 52, 214, 98, 260, 64, 226, 100, 262, 53, 215)(31, 193, 75, 237, 116, 278, 81, 243, 125, 287, 73, 235)(32, 194, 76, 238, 127, 289, 74, 236, 126, 288, 77, 239)(34, 196, 80, 242, 99, 261, 142, 304, 92, 254, 48, 210)(38, 200, 86, 248, 132, 294, 83, 245, 113, 275, 63, 225)(39, 201, 61, 223, 110, 272, 141, 303, 131, 293, 82, 244)(43, 205, 47, 209, 91, 253, 139, 301, 136, 298, 89, 251)(58, 220, 105, 267, 153, 315, 111, 273, 156, 318, 103, 265)(59, 221, 106, 268, 158, 320, 104, 266, 157, 319, 107, 269)(67, 229, 115, 277, 143, 305, 102, 264, 155, 317, 117, 279)(68, 230, 118, 280, 144, 306, 124, 286, 154, 316, 101, 263)(78, 240, 108, 270, 149, 311, 129, 291, 160, 322, 123, 285)(79, 241, 122, 284, 150, 312, 114, 276, 162, 324, 128, 290)(84, 246, 119, 281, 148, 310, 96, 258, 147, 309, 133, 295)(85, 247, 134, 296, 145, 307, 95, 257, 146, 308, 135, 297)(88, 250, 112, 274, 151, 313, 130, 292, 161, 323, 137, 299)(90, 252, 138, 300, 152, 314, 120, 282, 159, 321, 109, 271)(325, 487, 327, 489, 334, 496, 355, 517, 341, 503, 329, 491)(326, 488, 331, 493, 346, 508, 382, 544, 350, 512, 332, 494)(328, 490, 336, 498, 360, 522, 408, 570, 365, 527, 338, 500)(330, 492, 343, 505, 374, 536, 419, 581, 378, 540, 344, 506)(333, 495, 352, 514, 393, 555, 443, 605, 397, 559, 353, 515)(335, 497, 356, 518, 339, 501, 367, 529, 405, 567, 358, 520)(337, 499, 362, 524, 390, 552, 428, 590, 381, 543, 363, 525)(340, 502, 368, 530, 399, 561, 427, 589, 380, 542, 345, 507)(342, 504, 371, 533, 370, 532, 398, 560, 354, 516, 372, 534)(347, 509, 383, 545, 348, 510, 387, 549, 435, 597, 385, 547)(349, 511, 388, 550, 429, 591, 469, 631, 418, 580, 373, 535)(351, 513, 391, 553, 440, 602, 412, 574, 366, 528, 392, 554)(357, 519, 402, 564, 449, 611, 414, 576, 369, 531, 403, 565)(359, 521, 406, 568, 445, 607, 481, 643, 457, 619, 407, 569)(361, 523, 409, 571, 364, 526, 375, 537, 420, 582, 376, 538)(377, 539, 423, 585, 470, 632, 451, 613, 464, 626, 415, 577)(379, 541, 425, 587, 477, 639, 436, 598, 386, 548, 426, 588)(384, 546, 432, 594, 480, 642, 438, 600, 389, 551, 433, 595)(394, 556, 444, 606, 395, 557, 447, 609, 471, 633, 446, 608)(396, 558, 448, 610, 472, 634, 461, 623, 411, 573, 439, 601)(400, 562, 452, 614, 466, 628, 462, 624, 413, 575, 453, 615)(401, 563, 454, 616, 404, 566, 441, 603, 463, 625, 442, 604)(410, 572, 416, 578, 465, 627, 450, 612, 482, 644, 460, 622)(417, 579, 467, 629, 459, 621, 475, 637, 422, 584, 468, 630)(421, 583, 473, 635, 458, 620, 476, 638, 424, 586, 474, 636)(430, 592, 483, 645, 455, 617, 486, 648, 437, 599, 484, 646)(431, 593, 485, 647, 434, 596, 478, 640, 456, 618, 479, 641)
	L = (1, 327)(2, 331)(3, 334)(4, 336)(5, 325)(6, 343)(7, 346)(8, 326)(9, 352)(10, 355)(11, 356)(12, 360)(13, 362)(14, 328)(15, 367)(16, 368)(17, 329)(18, 371)(19, 374)(20, 330)(21, 340)(22, 382)(23, 383)(24, 387)(25, 388)(26, 332)(27, 391)(28, 393)(29, 333)(30, 372)(31, 341)(32, 339)(33, 402)(34, 335)(35, 406)(36, 408)(37, 409)(38, 390)(39, 337)(40, 375)(41, 338)(42, 392)(43, 405)(44, 399)(45, 403)(46, 398)(47, 370)(48, 342)(49, 349)(50, 419)(51, 420)(52, 361)(53, 423)(54, 344)(55, 425)(56, 345)(57, 363)(58, 350)(59, 348)(60, 432)(61, 347)(62, 426)(63, 435)(64, 429)(65, 433)(66, 428)(67, 440)(68, 351)(69, 443)(70, 444)(71, 447)(72, 448)(73, 353)(74, 354)(75, 427)(76, 452)(77, 454)(78, 449)(79, 357)(80, 441)(81, 358)(82, 445)(83, 359)(84, 365)(85, 364)(86, 416)(87, 439)(88, 366)(89, 453)(90, 369)(91, 377)(92, 465)(93, 467)(94, 373)(95, 378)(96, 376)(97, 473)(98, 468)(99, 470)(100, 474)(101, 477)(102, 379)(103, 380)(104, 381)(105, 469)(106, 483)(107, 485)(108, 480)(109, 384)(110, 478)(111, 385)(112, 386)(113, 484)(114, 389)(115, 396)(116, 412)(117, 463)(118, 401)(119, 397)(120, 395)(121, 481)(122, 394)(123, 471)(124, 472)(125, 414)(126, 482)(127, 464)(128, 466)(129, 400)(130, 404)(131, 486)(132, 479)(133, 407)(134, 476)(135, 475)(136, 410)(137, 411)(138, 413)(139, 442)(140, 415)(141, 450)(142, 462)(143, 459)(144, 417)(145, 418)(146, 451)(147, 446)(148, 461)(149, 458)(150, 421)(151, 422)(152, 424)(153, 436)(154, 456)(155, 431)(156, 438)(157, 457)(158, 460)(159, 455)(160, 430)(161, 434)(162, 437)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2782
Graph:: bipartite
	v = 54 e = 324 f = 216
	degree seq :: [ 12^54 ]

E28.2782 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 10>)
Aut   = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^6, (Y3^-1 * Y2 * Y3^-2)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^6, Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3 * Y2^-1, (Y3, Y2^-1)^3 ]
Map:: polytopal
	R = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)(325, 487, 326, 488, 328, 490)(327, 489, 332, 494, 334, 496)(329, 491, 337, 499, 338, 500)(330, 492, 340, 502, 342, 504)(331, 493, 343, 505, 344, 506)(333, 495, 348, 510, 350, 512)(335, 497, 353, 515, 355, 517)(336, 498, 356, 518, 357, 519)(339, 501, 363, 525, 364, 526)(341, 503, 367, 529, 369, 531)(345, 507, 376, 538, 377, 539)(346, 508, 378, 540, 380, 542)(347, 509, 381, 543, 382, 544)(349, 511, 386, 548, 368, 530)(351, 513, 389, 551, 365, 527)(352, 514, 391, 553, 372, 534)(354, 516, 395, 557, 396, 558)(358, 520, 401, 563, 402, 564)(359, 521, 397, 559, 403, 565)(360, 522, 400, 562, 404, 566)(361, 523, 405, 567, 366, 528)(362, 524, 406, 568, 373, 535)(370, 532, 413, 575, 393, 555)(371, 533, 415, 577, 398, 560)(374, 536, 417, 579, 394, 556)(375, 537, 418, 580, 399, 561)(379, 541, 420, 582, 421, 583)(383, 545, 427, 589, 428, 590)(384, 546, 407, 569, 429, 591)(385, 547, 412, 574, 430, 592)(387, 549, 431, 593, 419, 581)(388, 550, 432, 594, 424, 586)(390, 552, 411, 573, 435, 597)(392, 554, 408, 570, 438, 600)(409, 571, 439, 601, 451, 613)(410, 572, 442, 604, 452, 614)(414, 576, 441, 603, 455, 617)(416, 578, 440, 602, 458, 620)(422, 584, 453, 615, 433, 595)(423, 585, 459, 621, 436, 598)(425, 587, 456, 618, 434, 596)(426, 588, 461, 623, 437, 599)(443, 605, 454, 616, 447, 609)(444, 606, 460, 622, 449, 611)(445, 607, 457, 619, 448, 610)(446, 608, 462, 624, 450, 612)(463, 625, 475, 637, 485, 647)(464, 626, 478, 640, 481, 643)(465, 627, 477, 639, 479, 641)(466, 628, 476, 638, 484, 646)(467, 629, 483, 645, 471, 633)(468, 630, 486, 648, 473, 635)(469, 631, 480, 642, 472, 634)(470, 632, 482, 644, 474, 636)
	L = (1, 327)(2, 330)(3, 333)(4, 335)(5, 325)(6, 341)(7, 326)(8, 346)(9, 349)(10, 351)(11, 354)(12, 328)(13, 359)(14, 361)(15, 329)(16, 365)(17, 368)(18, 370)(19, 372)(20, 374)(21, 331)(22, 379)(23, 332)(24, 384)(25, 339)(26, 387)(27, 390)(28, 334)(29, 393)(30, 386)(31, 378)(32, 398)(33, 381)(34, 336)(35, 388)(36, 337)(37, 385)(38, 338)(39, 392)(40, 383)(41, 407)(42, 340)(43, 409)(44, 345)(45, 411)(46, 414)(47, 342)(48, 412)(49, 343)(50, 410)(51, 344)(52, 416)(53, 408)(54, 419)(55, 364)(56, 422)(57, 424)(58, 425)(59, 347)(60, 362)(61, 348)(62, 358)(63, 360)(64, 350)(65, 433)(66, 363)(67, 436)(68, 352)(69, 439)(70, 353)(71, 421)(72, 441)(73, 355)(74, 442)(75, 356)(76, 357)(77, 428)(78, 440)(79, 443)(80, 445)(81, 447)(82, 449)(83, 377)(84, 366)(85, 375)(86, 367)(87, 373)(88, 369)(89, 453)(90, 376)(91, 456)(92, 371)(93, 459)(94, 461)(95, 401)(96, 463)(97, 400)(98, 465)(99, 380)(100, 395)(101, 464)(102, 382)(103, 466)(104, 397)(105, 467)(106, 469)(107, 471)(108, 473)(109, 475)(110, 389)(111, 477)(112, 478)(113, 391)(114, 476)(115, 402)(116, 394)(117, 399)(118, 396)(119, 472)(120, 403)(121, 474)(122, 404)(123, 468)(124, 405)(125, 470)(126, 406)(127, 479)(128, 481)(129, 483)(130, 413)(131, 485)(132, 486)(133, 415)(134, 484)(135, 480)(136, 417)(137, 482)(138, 418)(139, 426)(140, 420)(141, 427)(142, 423)(143, 448)(144, 429)(145, 450)(146, 430)(147, 444)(148, 431)(149, 446)(150, 432)(151, 438)(152, 434)(153, 437)(154, 435)(155, 460)(156, 451)(157, 462)(158, 452)(159, 458)(160, 454)(161, 457)(162, 455)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2781
Graph:: simple bipartite
	v = 216 e = 324 f = 54
	degree seq :: [ 2^162, 6^54 ]

E28.2783 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 11>)
Aut   = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y1^6, Y1^6, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y1^6, (Y3 * Y1^-3)^2, (Y3, Y1, Y3^-1), (Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1)^2, (Y3 * Y1)^6, (Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1)^2, (Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1)^2, (Y3 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 163, 2, 164, 6, 168, 16, 178, 12, 174, 4, 166)(3, 165, 9, 171, 23, 185, 42, 204, 27, 189, 10, 172)(5, 167, 14, 176, 35, 197, 41, 203, 39, 201, 15, 177)(7, 169, 19, 181, 47, 209, 32, 194, 51, 213, 20, 182)(8, 170, 21, 183, 53, 215, 31, 193, 57, 219, 22, 184)(11, 173, 29, 191, 46, 208, 18, 180, 45, 207, 30, 192)(13, 175, 33, 195, 44, 206, 17, 179, 43, 205, 34, 196)(24, 186, 61, 223, 92, 254, 66, 228, 95, 257, 50, 212)(25, 187, 62, 224, 100, 262, 65, 227, 103, 265, 56, 218)(26, 188, 63, 225, 108, 270, 60, 222, 88, 250, 64, 226)(28, 190, 67, 229, 107, 269, 59, 221, 84, 246, 68, 230)(36, 198, 77, 239, 91, 253, 81, 243, 98, 260, 52, 214)(37, 199, 78, 240, 99, 261, 80, 242, 106, 268, 58, 220)(38, 200, 69, 231, 117, 279, 76, 238, 87, 249, 79, 241)(40, 202, 72, 234, 118, 280, 75, 237, 83, 245, 82, 244)(48, 210, 93, 255, 74, 236, 97, 259, 127, 289, 85, 247)(49, 211, 94, 256, 71, 233, 96, 258, 129, 291, 89, 251)(54, 216, 101, 263, 73, 235, 105, 267, 128, 290, 86, 248)(55, 217, 102, 264, 70, 232, 104, 266, 130, 292, 90, 252)(109, 271, 132, 294, 116, 278, 136, 298, 155, 317, 147, 309)(110, 272, 134, 296, 114, 276, 135, 297, 159, 321, 149, 311)(111, 273, 140, 302, 115, 277, 144, 306, 157, 319, 148, 310)(112, 274, 142, 304, 113, 275, 143, 305, 161, 323, 150, 312)(119, 281, 131, 293, 126, 288, 138, 300, 156, 318, 153, 315)(120, 282, 133, 295, 124, 286, 137, 299, 160, 322, 151, 313)(121, 283, 139, 301, 125, 287, 146, 308, 158, 320, 154, 316)(122, 284, 141, 303, 123, 285, 145, 307, 162, 324, 152, 314)(325, 487)(326, 488)(327, 489)(328, 490)(329, 491)(330, 492)(331, 493)(332, 494)(333, 495)(334, 496)(335, 497)(336, 498)(337, 499)(338, 500)(339, 501)(340, 502)(341, 503)(342, 504)(343, 505)(344, 506)(345, 507)(346, 508)(347, 509)(348, 510)(349, 511)(350, 512)(351, 513)(352, 514)(353, 515)(354, 516)(355, 517)(356, 518)(357, 519)(358, 520)(359, 521)(360, 522)(361, 523)(362, 524)(363, 525)(364, 526)(365, 527)(366, 528)(367, 529)(368, 530)(369, 531)(370, 532)(371, 533)(372, 534)(373, 535)(374, 536)(375, 537)(376, 538)(377, 539)(378, 540)(379, 541)(380, 542)(381, 543)(382, 544)(383, 545)(384, 546)(385, 547)(386, 548)(387, 549)(388, 550)(389, 551)(390, 552)(391, 553)(392, 554)(393, 555)(394, 556)(395, 557)(396, 558)(397, 559)(398, 560)(399, 561)(400, 562)(401, 563)(402, 564)(403, 565)(404, 566)(405, 567)(406, 568)(407, 569)(408, 570)(409, 571)(410, 572)(411, 573)(412, 574)(413, 575)(414, 576)(415, 577)(416, 578)(417, 579)(418, 580)(419, 581)(420, 582)(421, 583)(422, 584)(423, 585)(424, 586)(425, 587)(426, 588)(427, 589)(428, 590)(429, 591)(430, 592)(431, 593)(432, 594)(433, 595)(434, 596)(435, 597)(436, 598)(437, 599)(438, 600)(439, 601)(440, 602)(441, 603)(442, 604)(443, 605)(444, 606)(445, 607)(446, 608)(447, 609)(448, 610)(449, 611)(450, 612)(451, 613)(452, 614)(453, 615)(454, 616)(455, 617)(456, 618)(457, 619)(458, 620)(459, 621)(460, 622)(461, 623)(462, 624)(463, 625)(464, 626)(465, 627)(466, 628)(467, 629)(468, 630)(469, 631)(470, 632)(471, 633)(472, 634)(473, 635)(474, 636)(475, 637)(476, 638)(477, 639)(478, 640)(479, 641)(480, 642)(481, 643)(482, 644)(483, 645)(484, 646)(485, 647)(486, 648)
	L = (1, 327)(2, 331)(3, 329)(4, 335)(5, 325)(6, 341)(7, 332)(8, 326)(9, 348)(10, 350)(11, 337)(12, 355)(13, 328)(14, 360)(15, 362)(16, 365)(17, 342)(18, 330)(19, 372)(20, 374)(21, 378)(22, 380)(23, 383)(24, 349)(25, 333)(26, 352)(27, 389)(28, 334)(29, 387)(30, 394)(31, 356)(32, 336)(33, 391)(34, 397)(35, 399)(36, 361)(37, 338)(38, 364)(39, 404)(40, 339)(41, 366)(42, 340)(43, 407)(44, 409)(45, 411)(46, 413)(47, 415)(48, 373)(49, 343)(50, 376)(51, 420)(52, 344)(53, 423)(54, 379)(55, 345)(56, 382)(57, 428)(58, 346)(59, 384)(60, 347)(61, 433)(62, 435)(63, 393)(64, 437)(65, 390)(66, 351)(67, 396)(68, 439)(69, 353)(70, 395)(71, 354)(72, 357)(73, 398)(74, 358)(75, 400)(76, 359)(77, 443)(78, 445)(79, 447)(80, 405)(81, 363)(82, 449)(83, 408)(84, 367)(85, 410)(86, 368)(87, 412)(88, 369)(89, 414)(90, 370)(91, 416)(92, 371)(93, 455)(94, 457)(95, 459)(96, 421)(97, 375)(98, 461)(99, 424)(100, 377)(101, 463)(102, 465)(103, 467)(104, 429)(105, 381)(106, 469)(107, 471)(108, 473)(109, 434)(110, 385)(111, 436)(112, 386)(113, 438)(114, 388)(115, 440)(116, 392)(117, 475)(118, 477)(119, 444)(120, 401)(121, 446)(122, 402)(123, 448)(124, 403)(125, 450)(126, 406)(127, 479)(128, 481)(129, 483)(130, 485)(131, 456)(132, 417)(133, 458)(134, 418)(135, 460)(136, 419)(137, 462)(138, 422)(139, 464)(140, 425)(141, 466)(142, 426)(143, 468)(144, 427)(145, 470)(146, 430)(147, 472)(148, 431)(149, 474)(150, 432)(151, 476)(152, 441)(153, 478)(154, 442)(155, 480)(156, 451)(157, 482)(158, 452)(159, 484)(160, 453)(161, 486)(162, 454)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2780
Graph:: simple bipartite
	v = 189 e = 324 f = 81
	degree seq :: [ 2^162, 12^27 ]

E28.2784 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 10>)
Aut   = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^6, (Y3 * Y2^-1)^3, (Y3 * Y1^-3)^2, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1, Y1^-1 * Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3^-1, (Y3^-1, Y1^-1)^3 ]
Map:: polytopal
	R = (1, 163, 2, 164, 6, 168, 16, 178, 12, 174, 4, 166)(3, 165, 9, 171, 23, 185, 42, 204, 27, 189, 10, 172)(5, 167, 14, 176, 35, 197, 41, 203, 39, 201, 15, 177)(7, 169, 19, 181, 47, 209, 32, 194, 51, 213, 20, 182)(8, 170, 21, 183, 53, 215, 31, 193, 57, 219, 22, 184)(11, 173, 29, 191, 46, 208, 18, 180, 45, 207, 30, 192)(13, 175, 33, 195, 44, 206, 17, 179, 43, 205, 34, 196)(24, 186, 55, 217, 83, 245, 66, 228, 105, 267, 61, 223)(25, 187, 62, 224, 109, 271, 65, 227, 112, 274, 63, 225)(26, 188, 58, 220, 85, 247, 60, 222, 99, 261, 64, 226)(28, 190, 67, 229, 108, 270, 59, 221, 107, 269, 68, 230)(36, 198, 77, 239, 125, 287, 82, 244, 126, 288, 78, 240)(37, 199, 48, 210, 88, 250, 81, 243, 96, 258, 69, 231)(38, 200, 79, 241, 124, 286, 76, 238, 123, 285, 80, 242)(40, 202, 50, 212, 90, 252, 75, 237, 92, 254, 71, 233)(49, 211, 93, 255, 137, 299, 95, 257, 140, 302, 94, 256)(52, 214, 97, 259, 136, 298, 91, 253, 135, 297, 98, 260)(54, 216, 101, 263, 145, 307, 106, 268, 146, 308, 102, 264)(56, 218, 103, 265, 144, 306, 100, 262, 143, 305, 104, 266)(70, 232, 115, 277, 132, 294, 87, 249, 131, 293, 116, 278)(72, 234, 117, 279, 134, 296, 89, 251, 133, 295, 118, 280)(73, 235, 119, 281, 128, 290, 84, 246, 127, 289, 120, 282)(74, 236, 121, 283, 130, 292, 86, 248, 129, 291, 122, 284)(110, 272, 138, 300, 155, 317, 152, 314, 162, 324, 150, 312)(111, 273, 141, 303, 156, 318, 149, 311, 159, 321, 151, 313)(113, 275, 139, 301, 157, 319, 147, 309, 161, 323, 153, 315)(114, 276, 142, 304, 158, 320, 148, 310, 160, 322, 154, 316)(325, 487)(326, 488)(327, 489)(328, 490)(329, 491)(330, 492)(331, 493)(332, 494)(333, 495)(334, 496)(335, 497)(336, 498)(337, 499)(338, 500)(339, 501)(340, 502)(341, 503)(342, 504)(343, 505)(344, 506)(345, 507)(346, 508)(347, 509)(348, 510)(349, 511)(350, 512)(351, 513)(352, 514)(353, 515)(354, 516)(355, 517)(356, 518)(357, 519)(358, 520)(359, 521)(360, 522)(361, 523)(362, 524)(363, 525)(364, 526)(365, 527)(366, 528)(367, 529)(368, 530)(369, 531)(370, 532)(371, 533)(372, 534)(373, 535)(374, 536)(375, 537)(376, 538)(377, 539)(378, 540)(379, 541)(380, 542)(381, 543)(382, 544)(383, 545)(384, 546)(385, 547)(386, 548)(387, 549)(388, 550)(389, 551)(390, 552)(391, 553)(392, 554)(393, 555)(394, 556)(395, 557)(396, 558)(397, 559)(398, 560)(399, 561)(400, 562)(401, 563)(402, 564)(403, 565)(404, 566)(405, 567)(406, 568)(407, 569)(408, 570)(409, 571)(410, 572)(411, 573)(412, 574)(413, 575)(414, 576)(415, 577)(416, 578)(417, 579)(418, 580)(419, 581)(420, 582)(421, 583)(422, 584)(423, 585)(424, 586)(425, 587)(426, 588)(427, 589)(428, 590)(429, 591)(430, 592)(431, 593)(432, 594)(433, 595)(434, 596)(435, 597)(436, 598)(437, 599)(438, 600)(439, 601)(440, 602)(441, 603)(442, 604)(443, 605)(444, 606)(445, 607)(446, 608)(447, 609)(448, 610)(449, 611)(450, 612)(451, 613)(452, 614)(453, 615)(454, 616)(455, 617)(456, 618)(457, 619)(458, 620)(459, 621)(460, 622)(461, 623)(462, 624)(463, 625)(464, 626)(465, 627)(466, 628)(467, 629)(468, 630)(469, 631)(470, 632)(471, 633)(472, 634)(473, 635)(474, 636)(475, 637)(476, 638)(477, 639)(478, 640)(479, 641)(480, 642)(481, 643)(482, 644)(483, 645)(484, 646)(485, 647)(486, 648)
	L = (1, 327)(2, 331)(3, 329)(4, 335)(5, 325)(6, 341)(7, 332)(8, 326)(9, 348)(10, 350)(11, 337)(12, 355)(13, 328)(14, 360)(15, 362)(16, 365)(17, 342)(18, 330)(19, 372)(20, 374)(21, 378)(22, 380)(23, 383)(24, 349)(25, 333)(26, 352)(27, 389)(28, 334)(29, 393)(30, 395)(31, 356)(32, 336)(33, 397)(34, 398)(35, 399)(36, 361)(37, 338)(38, 364)(39, 405)(40, 339)(41, 366)(42, 340)(43, 407)(44, 409)(45, 411)(46, 413)(47, 415)(48, 373)(49, 343)(50, 376)(51, 419)(52, 344)(53, 423)(54, 379)(55, 345)(56, 382)(57, 429)(58, 346)(59, 384)(60, 347)(61, 357)(62, 434)(63, 435)(64, 358)(65, 390)(66, 351)(67, 437)(68, 438)(69, 394)(70, 353)(71, 396)(72, 354)(73, 385)(74, 388)(75, 400)(76, 359)(77, 386)(78, 391)(79, 387)(80, 392)(81, 406)(82, 363)(83, 408)(84, 367)(85, 410)(86, 368)(87, 412)(88, 369)(89, 414)(90, 370)(91, 416)(92, 371)(93, 462)(94, 463)(95, 420)(96, 375)(97, 465)(98, 466)(99, 424)(100, 377)(101, 417)(102, 421)(103, 418)(104, 422)(105, 430)(106, 381)(107, 449)(108, 448)(109, 447)(110, 401)(111, 403)(112, 450)(113, 402)(114, 404)(115, 474)(116, 477)(117, 475)(118, 478)(119, 439)(120, 441)(121, 440)(122, 442)(123, 473)(124, 472)(125, 471)(126, 476)(127, 479)(128, 480)(129, 481)(130, 482)(131, 451)(132, 453)(133, 452)(134, 454)(135, 469)(136, 468)(137, 467)(138, 425)(139, 427)(140, 470)(141, 426)(142, 428)(143, 485)(144, 484)(145, 483)(146, 486)(147, 431)(148, 432)(149, 433)(150, 443)(151, 444)(152, 436)(153, 445)(154, 446)(155, 455)(156, 457)(157, 456)(158, 458)(159, 459)(160, 460)(161, 461)(162, 464)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2778
Graph:: simple bipartite
	v = 189 e = 324 f = 81
	degree seq :: [ 2^162, 12^27 ]

E28.2785 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 10>)
Aut   = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y1^6, Y1 * Y3 * Y1^-2 * Y3 * Y1 * Y3^-1, Y1^2 * Y3^-1 * Y1 * Y3^-1 * Y1^-2 * Y3 * Y1^-1 * Y3, (Y3^-1 * Y1^-2 * Y3^-1 * Y1^-1)^2 ]
Map:: polytopal
	R = (1, 163, 2, 164, 6, 168, 16, 178, 12, 174, 4, 166)(3, 165, 9, 171, 23, 185, 55, 217, 27, 189, 10, 172)(5, 167, 14, 176, 35, 197, 75, 237, 39, 201, 15, 177)(7, 169, 19, 181, 46, 208, 64, 226, 28, 190, 20, 182)(8, 170, 21, 183, 51, 213, 97, 259, 53, 215, 22, 184)(11, 173, 29, 191, 65, 227, 115, 277, 66, 228, 30, 192)(13, 175, 33, 195, 36, 198, 76, 238, 73, 235, 34, 196)(17, 179, 43, 205, 83, 245, 96, 258, 50, 212, 44, 206)(18, 180, 45, 207, 87, 249, 109, 271, 60, 222, 25, 187)(24, 186, 58, 220, 84, 246, 80, 242, 40, 202, 59, 221)(26, 188, 61, 223, 85, 247, 137, 299, 111, 273, 62, 224)(31, 193, 38, 200, 78, 240, 129, 291, 117, 279, 67, 229)(32, 194, 68, 230, 70, 232, 121, 283, 120, 282, 69, 231)(37, 199, 57, 219, 88, 250, 136, 298, 119, 281, 77, 239)(41, 203, 72, 234, 123, 285, 138, 300, 86, 248, 81, 243)(42, 204, 82, 244, 118, 280, 144, 306, 93, 255, 48, 210)(47, 209, 91, 253, 74, 236, 100, 262, 54, 216, 92, 254)(49, 211, 94, 256, 133, 295, 112, 274, 63, 225, 95, 257)(52, 214, 90, 252, 134, 296, 122, 284, 71, 233, 98, 260)(56, 218, 103, 265, 148, 310, 151, 313, 108, 270, 104, 266)(79, 241, 130, 292, 107, 269, 143, 305, 139, 301, 89, 251)(99, 261, 150, 312, 142, 304, 106, 268, 102, 264, 135, 297)(101, 263, 113, 275, 146, 308, 161, 323, 154, 316, 153, 315)(105, 267, 141, 303, 114, 276, 157, 319, 110, 272, 155, 317)(116, 278, 158, 320, 124, 286, 131, 293, 152, 314, 159, 321)(125, 287, 149, 311, 156, 318, 162, 324, 160, 322, 127, 289)(126, 288, 140, 302, 132, 294, 147, 309, 128, 290, 145, 307)(325, 487)(326, 488)(327, 489)(328, 490)(329, 491)(330, 492)(331, 493)(332, 494)(333, 495)(334, 496)(335, 497)(336, 498)(337, 499)(338, 500)(339, 501)(340, 502)(341, 503)(342, 504)(343, 505)(344, 506)(345, 507)(346, 508)(347, 509)(348, 510)(349, 511)(350, 512)(351, 513)(352, 514)(353, 515)(354, 516)(355, 517)(356, 518)(357, 519)(358, 520)(359, 521)(360, 522)(361, 523)(362, 524)(363, 525)(364, 526)(365, 527)(366, 528)(367, 529)(368, 530)(369, 531)(370, 532)(371, 533)(372, 534)(373, 535)(374, 536)(375, 537)(376, 538)(377, 539)(378, 540)(379, 541)(380, 542)(381, 543)(382, 544)(383, 545)(384, 546)(385, 547)(386, 548)(387, 549)(388, 550)(389, 551)(390, 552)(391, 553)(392, 554)(393, 555)(394, 556)(395, 557)(396, 558)(397, 559)(398, 560)(399, 561)(400, 562)(401, 563)(402, 564)(403, 565)(404, 566)(405, 567)(406, 568)(407, 569)(408, 570)(409, 571)(410, 572)(411, 573)(412, 574)(413, 575)(414, 576)(415, 577)(416, 578)(417, 579)(418, 580)(419, 581)(420, 582)(421, 583)(422, 584)(423, 585)(424, 586)(425, 587)(426, 588)(427, 589)(428, 590)(429, 591)(430, 592)(431, 593)(432, 594)(433, 595)(434, 596)(435, 597)(436, 598)(437, 599)(438, 600)(439, 601)(440, 602)(441, 603)(442, 604)(443, 605)(444, 606)(445, 607)(446, 608)(447, 609)(448, 610)(449, 611)(450, 612)(451, 613)(452, 614)(453, 615)(454, 616)(455, 617)(456, 618)(457, 619)(458, 620)(459, 621)(460, 622)(461, 623)(462, 624)(463, 625)(464, 626)(465, 627)(466, 628)(467, 629)(468, 630)(469, 631)(470, 632)(471, 633)(472, 634)(473, 635)(474, 636)(475, 637)(476, 638)(477, 639)(478, 640)(479, 641)(480, 642)(481, 643)(482, 644)(483, 645)(484, 646)(485, 647)(486, 648)
	L = (1, 327)(2, 331)(3, 329)(4, 335)(5, 325)(6, 341)(7, 332)(8, 326)(9, 348)(10, 350)(11, 337)(12, 355)(13, 328)(14, 360)(15, 362)(16, 365)(17, 342)(18, 330)(19, 371)(20, 373)(21, 359)(22, 353)(23, 380)(24, 349)(25, 333)(26, 352)(27, 354)(28, 334)(29, 378)(30, 387)(31, 356)(32, 336)(33, 394)(34, 396)(35, 376)(36, 361)(37, 338)(38, 364)(39, 386)(40, 339)(41, 366)(42, 340)(43, 408)(44, 409)(45, 375)(46, 413)(47, 372)(48, 343)(49, 374)(50, 344)(51, 412)(52, 345)(53, 419)(54, 346)(55, 425)(56, 381)(57, 347)(58, 429)(59, 431)(60, 385)(61, 434)(62, 403)(63, 351)(64, 437)(65, 440)(66, 391)(67, 435)(68, 442)(69, 367)(70, 395)(71, 357)(72, 398)(73, 436)(74, 358)(75, 448)(76, 450)(77, 402)(78, 452)(79, 363)(80, 455)(81, 457)(82, 411)(83, 459)(84, 393)(85, 410)(86, 368)(87, 458)(88, 369)(89, 414)(90, 370)(91, 464)(92, 466)(93, 418)(94, 469)(95, 423)(96, 470)(97, 472)(98, 389)(99, 377)(100, 475)(101, 426)(102, 379)(103, 397)(104, 453)(105, 430)(106, 382)(107, 432)(108, 383)(109, 454)(110, 384)(111, 390)(112, 427)(113, 438)(114, 388)(115, 477)(116, 422)(117, 405)(118, 443)(119, 392)(120, 461)(121, 479)(122, 447)(123, 481)(124, 449)(125, 399)(126, 451)(127, 400)(128, 401)(129, 478)(130, 480)(131, 456)(132, 404)(133, 441)(134, 406)(135, 460)(136, 407)(137, 482)(138, 485)(139, 439)(140, 465)(141, 415)(142, 467)(143, 416)(144, 474)(145, 417)(146, 471)(147, 420)(148, 473)(149, 421)(150, 486)(151, 476)(152, 424)(153, 463)(154, 428)(155, 484)(156, 433)(157, 446)(158, 444)(159, 462)(160, 445)(161, 483)(162, 468)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2777
Graph:: simple bipartite
	v = 189 e = 324 f = 81
	degree seq :: [ 2^162, 12^27 ]

E28.2786 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3 x C3) : C3) : C2 (small group id <162, 10>)
Aut   = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y1^6, Y1^-1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1^-1, Y1^2 * Y3 * Y1 * Y3 * Y1^-2 * Y3^-1 * Y1^-1 * Y3^-1, (Y3 * Y1^-1 * Y3 * Y1^-2)^2, Y1^-1 * Y3^-1 * Y1^2 * Y3^-1 * Y1^2 * Y3 * Y1^3 * Y3^-1, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1^-1, (Y3^-1 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 163, 2, 164, 6, 168, 16, 178, 12, 174, 4, 166)(3, 165, 9, 171, 23, 185, 55, 217, 27, 189, 10, 172)(5, 167, 14, 176, 35, 197, 75, 237, 39, 201, 15, 177)(7, 169, 19, 181, 46, 208, 89, 251, 49, 211, 20, 182)(8, 170, 21, 183, 50, 212, 79, 241, 38, 200, 22, 184)(11, 173, 29, 191, 25, 187, 58, 220, 67, 229, 30, 192)(13, 175, 33, 195, 72, 234, 122, 284, 73, 235, 34, 196)(17, 179, 43, 205, 83, 245, 128, 290, 77, 239, 36, 198)(18, 180, 44, 206, 85, 247, 99, 261, 53, 215, 45, 207)(24, 186, 56, 218, 84, 246, 135, 297, 104, 266, 57, 219)(26, 188, 59, 221, 37, 199, 78, 240, 86, 248, 60, 222)(28, 190, 63, 225, 113, 275, 121, 283, 71, 233, 32, 194)(31, 193, 69, 231, 65, 227, 115, 277, 120, 282, 70, 232)(40, 202, 80, 242, 88, 250, 138, 300, 112, 274, 62, 224)(41, 203, 81, 243, 119, 281, 148, 310, 97, 259, 51, 213)(42, 204, 68, 230, 118, 280, 137, 299, 87, 249, 82, 244)(47, 209, 90, 252, 133, 295, 114, 276, 64, 226, 91, 253)(48, 210, 92, 254, 52, 214, 98, 260, 66, 228, 93, 255)(54, 216, 100, 262, 134, 296, 117, 279, 74, 236, 95, 257)(61, 223, 111, 273, 108, 270, 141, 303, 146, 308, 96, 258)(76, 238, 116, 278, 140, 302, 144, 306, 107, 269, 126, 288)(94, 256, 145, 307, 142, 304, 129, 291, 124, 286, 136, 298)(101, 263, 139, 301, 155, 317, 162, 324, 154, 316, 105, 267)(102, 264, 110, 272, 143, 305, 160, 322, 123, 285, 153, 315)(103, 265, 147, 309, 106, 268, 150, 312, 109, 271, 151, 313)(125, 287, 132, 294, 152, 314, 161, 323, 156, 318, 159, 321)(127, 289, 158, 320, 130, 292, 149, 311, 131, 293, 157, 319)(325, 487)(326, 488)(327, 489)(328, 490)(329, 491)(330, 492)(331, 493)(332, 494)(333, 495)(334, 496)(335, 497)(336, 498)(337, 499)(338, 500)(339, 501)(340, 502)(341, 503)(342, 504)(343, 505)(344, 506)(345, 507)(346, 508)(347, 509)(348, 510)(349, 511)(350, 512)(351, 513)(352, 514)(353, 515)(354, 516)(355, 517)(356, 518)(357, 519)(358, 520)(359, 521)(360, 522)(361, 523)(362, 524)(363, 525)(364, 526)(365, 527)(366, 528)(367, 529)(368, 530)(369, 531)(370, 532)(371, 533)(372, 534)(373, 535)(374, 536)(375, 537)(376, 538)(377, 539)(378, 540)(379, 541)(380, 542)(381, 543)(382, 544)(383, 545)(384, 546)(385, 547)(386, 548)(387, 549)(388, 550)(389, 551)(390, 552)(391, 553)(392, 554)(393, 555)(394, 556)(395, 557)(396, 558)(397, 559)(398, 560)(399, 561)(400, 562)(401, 563)(402, 564)(403, 565)(404, 566)(405, 567)(406, 568)(407, 569)(408, 570)(409, 571)(410, 572)(411, 573)(412, 574)(413, 575)(414, 576)(415, 577)(416, 578)(417, 579)(418, 580)(419, 581)(420, 582)(421, 583)(422, 584)(423, 585)(424, 586)(425, 587)(426, 588)(427, 589)(428, 590)(429, 591)(430, 592)(431, 593)(432, 594)(433, 595)(434, 596)(435, 597)(436, 598)(437, 599)(438, 600)(439, 601)(440, 602)(441, 603)(442, 604)(443, 605)(444, 606)(445, 607)(446, 608)(447, 609)(448, 610)(449, 611)(450, 612)(451, 613)(452, 614)(453, 615)(454, 616)(455, 617)(456, 618)(457, 619)(458, 620)(459, 621)(460, 622)(461, 623)(462, 624)(463, 625)(464, 626)(465, 627)(466, 628)(467, 629)(468, 630)(469, 631)(470, 632)(471, 633)(472, 634)(473, 635)(474, 636)(475, 637)(476, 638)(477, 639)(478, 640)(479, 641)(480, 642)(481, 643)(482, 644)(483, 645)(484, 646)(485, 647)(486, 648)
	L = (1, 327)(2, 331)(3, 329)(4, 335)(5, 325)(6, 341)(7, 332)(8, 326)(9, 348)(10, 350)(11, 337)(12, 355)(13, 328)(14, 360)(15, 362)(16, 365)(17, 342)(18, 330)(19, 371)(20, 372)(21, 375)(22, 377)(23, 343)(24, 349)(25, 333)(26, 352)(27, 385)(28, 334)(29, 388)(30, 390)(31, 356)(32, 336)(33, 344)(34, 363)(35, 380)(36, 361)(37, 338)(38, 364)(39, 398)(40, 339)(41, 366)(42, 340)(43, 408)(44, 394)(45, 411)(46, 367)(47, 347)(48, 357)(49, 418)(50, 414)(51, 376)(52, 345)(53, 378)(54, 346)(55, 425)(56, 400)(57, 427)(58, 429)(59, 431)(60, 433)(61, 386)(62, 351)(63, 381)(64, 389)(65, 353)(66, 392)(67, 440)(68, 354)(69, 428)(70, 410)(71, 397)(72, 415)(73, 436)(74, 358)(75, 448)(76, 359)(77, 451)(78, 453)(79, 455)(80, 401)(81, 457)(82, 445)(83, 405)(84, 370)(85, 459)(86, 368)(87, 412)(88, 369)(89, 463)(90, 420)(91, 447)(92, 465)(93, 467)(94, 419)(95, 373)(96, 374)(97, 471)(98, 473)(99, 475)(100, 421)(101, 426)(102, 379)(103, 387)(104, 443)(105, 430)(106, 382)(107, 432)(108, 383)(109, 434)(110, 384)(111, 452)(112, 395)(113, 450)(114, 481)(115, 478)(116, 441)(117, 391)(118, 438)(119, 393)(120, 477)(121, 458)(122, 470)(123, 396)(124, 449)(125, 399)(126, 480)(127, 404)(128, 479)(129, 454)(130, 402)(131, 456)(132, 403)(133, 407)(134, 406)(135, 460)(136, 409)(137, 484)(138, 444)(139, 464)(140, 413)(141, 466)(142, 416)(143, 468)(144, 417)(145, 472)(146, 483)(147, 424)(148, 486)(149, 474)(150, 422)(151, 476)(152, 423)(153, 462)(154, 482)(155, 435)(156, 437)(157, 442)(158, 439)(159, 446)(160, 485)(161, 461)(162, 469)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2779
Graph:: simple bipartite
	v = 189 e = 324 f = 81
	degree seq :: [ 2^162, 12^27 ]

E28.2787 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 6, 6})
Quotient :: edge
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 15>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T2 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T2^6, (T2^-1 * T1^-1)^6, T2^2 * T1 * T2^2 * T1 * T2^-3 * T1 * T2^2 * T1 * T2 * T1 * T2^-2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 20, 13, 5)(2, 6, 15, 29, 16, 7)(4, 10, 21, 37, 22, 11)(8, 17, 31, 49, 32, 18)(12, 23, 39, 59, 40, 24)(14, 26, 42, 63, 43, 27)(19, 33, 51, 74, 52, 34)(25, 35, 53, 76, 61, 41)(28, 44, 65, 91, 66, 45)(30, 46, 67, 93, 68, 47)(36, 54, 77, 105, 78, 55)(38, 56, 79, 107, 80, 57)(48, 69, 95, 125, 96, 70)(50, 71, 97, 127, 98, 72)(58, 81, 109, 141, 110, 82)(60, 83, 111, 143, 112, 84)(62, 86, 114, 147, 115, 87)(64, 88, 116, 149, 117, 89)(73, 99, 129, 150, 130, 100)(75, 101, 131, 148, 132, 102)(85, 103, 133, 146, 145, 113)(90, 118, 151, 144, 152, 119)(92, 120, 153, 142, 154, 121)(94, 122, 155, 140, 156, 123)(104, 134, 162, 128, 161, 135)(106, 136, 160, 126, 159, 137)(108, 138, 158, 124, 157, 139)(163, 164, 166)(165, 170, 169)(167, 172, 174)(168, 176, 173)(171, 181, 180)(175, 185, 187)(177, 190, 189)(178, 179, 192)(182, 197, 196)(183, 198, 186)(184, 188, 200)(191, 208, 207)(193, 210, 209)(194, 195, 212)(199, 218, 217)(201, 220, 203)(202, 216, 222)(204, 224, 219)(205, 206, 226)(211, 233, 232)(213, 235, 234)(214, 215, 237)(221, 245, 244)(223, 243, 247)(225, 250, 249)(227, 252, 251)(228, 229, 254)(230, 231, 256)(236, 263, 262)(238, 265, 264)(239, 266, 246)(240, 241, 268)(242, 248, 270)(253, 282, 281)(255, 284, 283)(257, 286, 285)(258, 259, 288)(260, 261, 290)(267, 298, 297)(269, 300, 299)(271, 302, 275)(272, 273, 304)(274, 296, 306)(276, 308, 301)(277, 278, 310)(279, 280, 312)(287, 321, 320)(289, 323, 322)(291, 313, 324)(292, 293, 311)(294, 295, 309)(303, 316, 317)(305, 314, 315)(307, 318, 319)
	L = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 12^3 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2788
Transitivity :: ET+
Graph:: simple bipartite
	v = 81 e = 162 f = 27
	degree seq :: [ 3^54, 6^27 ]

E28.2788 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 6, 6})
Quotient :: loop
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 15>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T2 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T2^6, (T2^-1 * T1^-1)^6, T2^2 * T1 * T2^2 * T1 * T2^-3 * T1 * T2^2 * T1 * T2 * T1 * T2^-2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 163, 3, 165, 9, 171, 20, 182, 13, 175, 5, 167)(2, 164, 6, 168, 15, 177, 29, 191, 16, 178, 7, 169)(4, 166, 10, 172, 21, 183, 37, 199, 22, 184, 11, 173)(8, 170, 17, 179, 31, 193, 49, 211, 32, 194, 18, 180)(12, 174, 23, 185, 39, 201, 59, 221, 40, 202, 24, 186)(14, 176, 26, 188, 42, 204, 63, 225, 43, 205, 27, 189)(19, 181, 33, 195, 51, 213, 74, 236, 52, 214, 34, 196)(25, 187, 35, 197, 53, 215, 76, 238, 61, 223, 41, 203)(28, 190, 44, 206, 65, 227, 91, 253, 66, 228, 45, 207)(30, 192, 46, 208, 67, 229, 93, 255, 68, 230, 47, 209)(36, 198, 54, 216, 77, 239, 105, 267, 78, 240, 55, 217)(38, 200, 56, 218, 79, 241, 107, 269, 80, 242, 57, 219)(48, 210, 69, 231, 95, 257, 125, 287, 96, 258, 70, 232)(50, 212, 71, 233, 97, 259, 127, 289, 98, 260, 72, 234)(58, 220, 81, 243, 109, 271, 141, 303, 110, 272, 82, 244)(60, 222, 83, 245, 111, 273, 143, 305, 112, 274, 84, 246)(62, 224, 86, 248, 114, 276, 147, 309, 115, 277, 87, 249)(64, 226, 88, 250, 116, 278, 149, 311, 117, 279, 89, 251)(73, 235, 99, 261, 129, 291, 150, 312, 130, 292, 100, 262)(75, 237, 101, 263, 131, 293, 148, 310, 132, 294, 102, 264)(85, 247, 103, 265, 133, 295, 146, 308, 145, 307, 113, 275)(90, 252, 118, 280, 151, 313, 144, 306, 152, 314, 119, 281)(92, 254, 120, 282, 153, 315, 142, 304, 154, 316, 121, 283)(94, 256, 122, 284, 155, 317, 140, 302, 156, 318, 123, 285)(104, 266, 134, 296, 162, 324, 128, 290, 161, 323, 135, 297)(106, 268, 136, 298, 160, 322, 126, 288, 159, 321, 137, 299)(108, 270, 138, 300, 158, 320, 124, 286, 157, 319, 139, 301)
	L = (1, 164)(2, 166)(3, 170)(4, 163)(5, 172)(6, 176)(7, 165)(8, 169)(9, 181)(10, 174)(11, 168)(12, 167)(13, 185)(14, 173)(15, 190)(16, 179)(17, 192)(18, 171)(19, 180)(20, 197)(21, 198)(22, 188)(23, 187)(24, 183)(25, 175)(26, 200)(27, 177)(28, 189)(29, 208)(30, 178)(31, 210)(32, 195)(33, 212)(34, 182)(35, 196)(36, 186)(37, 218)(38, 184)(39, 220)(40, 216)(41, 201)(42, 224)(43, 206)(44, 226)(45, 191)(46, 207)(47, 193)(48, 209)(49, 233)(50, 194)(51, 235)(52, 215)(53, 237)(54, 222)(55, 199)(56, 217)(57, 204)(58, 203)(59, 245)(60, 202)(61, 243)(62, 219)(63, 250)(64, 205)(65, 252)(66, 229)(67, 254)(68, 231)(69, 256)(70, 211)(71, 232)(72, 213)(73, 234)(74, 263)(75, 214)(76, 265)(77, 266)(78, 241)(79, 268)(80, 248)(81, 247)(82, 221)(83, 244)(84, 239)(85, 223)(86, 270)(87, 225)(88, 249)(89, 227)(90, 251)(91, 282)(92, 228)(93, 284)(94, 230)(95, 286)(96, 259)(97, 288)(98, 261)(99, 290)(100, 236)(101, 262)(102, 238)(103, 264)(104, 246)(105, 298)(106, 240)(107, 300)(108, 242)(109, 302)(110, 273)(111, 304)(112, 296)(113, 271)(114, 308)(115, 278)(116, 310)(117, 280)(118, 312)(119, 253)(120, 281)(121, 255)(122, 283)(123, 257)(124, 285)(125, 321)(126, 258)(127, 323)(128, 260)(129, 313)(130, 293)(131, 311)(132, 295)(133, 309)(134, 306)(135, 267)(136, 297)(137, 269)(138, 299)(139, 276)(140, 275)(141, 316)(142, 272)(143, 314)(144, 274)(145, 318)(146, 301)(147, 294)(148, 277)(149, 292)(150, 279)(151, 324)(152, 315)(153, 305)(154, 317)(155, 303)(156, 319)(157, 307)(158, 287)(159, 320)(160, 289)(161, 322)(162, 291)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2787
Transitivity :: ET+ VT+ AT
Graph::
	v = 27 e = 162 f = 81
	degree seq :: [ 12^27 ]

E28.2789 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6})
Quotient :: dipole
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 15>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y3 * Y1^-2, (Y2 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^6, Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2^-2 * Y3^2, (Y3 * Y2^-1)^6, Y3 * Y2^2 * Y1 * Y2^-3 * Y1 * Y2^2 * Y3^-1 * Y2 * Y1 * Y2^-3 * Y1^-1 * Y2^-1, Y2^2 * Y1 * Y2^2 * Y1 * Y2^-3 * Y3^-1 * Y2^2 * Y3^-1 * Y2 * Y1 * Y2^-2 * Y1^-1 ]
Map::
	R = (1, 163, 2, 164, 4, 166)(3, 165, 8, 170, 7, 169)(5, 167, 10, 172, 12, 174)(6, 168, 14, 176, 11, 173)(9, 171, 19, 181, 18, 180)(13, 175, 23, 185, 25, 187)(15, 177, 28, 190, 27, 189)(16, 178, 17, 179, 30, 192)(20, 182, 35, 197, 34, 196)(21, 183, 36, 198, 24, 186)(22, 184, 26, 188, 38, 200)(29, 191, 46, 208, 45, 207)(31, 193, 48, 210, 47, 209)(32, 194, 33, 195, 50, 212)(37, 199, 56, 218, 55, 217)(39, 201, 58, 220, 41, 203)(40, 202, 54, 216, 60, 222)(42, 204, 62, 224, 57, 219)(43, 205, 44, 206, 64, 226)(49, 211, 71, 233, 70, 232)(51, 213, 73, 235, 72, 234)(52, 214, 53, 215, 75, 237)(59, 221, 83, 245, 82, 244)(61, 223, 81, 243, 85, 247)(63, 225, 88, 250, 87, 249)(65, 227, 90, 252, 89, 251)(66, 228, 67, 229, 92, 254)(68, 230, 69, 231, 94, 256)(74, 236, 101, 263, 100, 262)(76, 238, 103, 265, 102, 264)(77, 239, 104, 266, 84, 246)(78, 240, 79, 241, 106, 268)(80, 242, 86, 248, 108, 270)(91, 253, 120, 282, 119, 281)(93, 255, 122, 284, 121, 283)(95, 257, 124, 286, 123, 285)(96, 258, 97, 259, 126, 288)(98, 260, 99, 261, 128, 290)(105, 267, 136, 298, 135, 297)(107, 269, 138, 300, 137, 299)(109, 271, 140, 302, 113, 275)(110, 272, 111, 273, 142, 304)(112, 274, 134, 296, 144, 306)(114, 276, 146, 308, 139, 301)(115, 277, 116, 278, 148, 310)(117, 279, 118, 280, 150, 312)(125, 287, 159, 321, 158, 320)(127, 289, 161, 323, 160, 322)(129, 291, 151, 313, 162, 324)(130, 292, 131, 293, 149, 311)(132, 294, 133, 295, 147, 309)(141, 303, 154, 316, 155, 317)(143, 305, 152, 314, 153, 315)(145, 307, 156, 318, 157, 319)(325, 487, 327, 489, 333, 495, 344, 506, 337, 499, 329, 491)(326, 488, 330, 492, 339, 501, 353, 515, 340, 502, 331, 493)(328, 490, 334, 496, 345, 507, 361, 523, 346, 508, 335, 497)(332, 494, 341, 503, 355, 517, 373, 535, 356, 518, 342, 504)(336, 498, 347, 509, 363, 525, 383, 545, 364, 526, 348, 510)(338, 500, 350, 512, 366, 528, 387, 549, 367, 529, 351, 513)(343, 505, 357, 519, 375, 537, 398, 560, 376, 538, 358, 520)(349, 511, 359, 521, 377, 539, 400, 562, 385, 547, 365, 527)(352, 514, 368, 530, 389, 551, 415, 577, 390, 552, 369, 531)(354, 516, 370, 532, 391, 553, 417, 579, 392, 554, 371, 533)(360, 522, 378, 540, 401, 563, 429, 591, 402, 564, 379, 541)(362, 524, 380, 542, 403, 565, 431, 593, 404, 566, 381, 543)(372, 534, 393, 555, 419, 581, 449, 611, 420, 582, 394, 556)(374, 536, 395, 557, 421, 583, 451, 613, 422, 584, 396, 558)(382, 544, 405, 567, 433, 595, 465, 627, 434, 596, 406, 568)(384, 546, 407, 569, 435, 597, 467, 629, 436, 598, 408, 570)(386, 548, 410, 572, 438, 600, 471, 633, 439, 601, 411, 573)(388, 550, 412, 574, 440, 602, 473, 635, 441, 603, 413, 575)(397, 559, 423, 585, 453, 615, 474, 636, 454, 616, 424, 586)(399, 561, 425, 587, 455, 617, 472, 634, 456, 618, 426, 588)(409, 571, 427, 589, 457, 619, 470, 632, 469, 631, 437, 599)(414, 576, 442, 604, 475, 637, 468, 630, 476, 638, 443, 605)(416, 578, 444, 606, 477, 639, 466, 628, 478, 640, 445, 607)(418, 580, 446, 608, 479, 641, 464, 626, 480, 642, 447, 609)(428, 590, 458, 620, 486, 648, 452, 614, 485, 647, 459, 621)(430, 592, 460, 622, 484, 646, 450, 612, 483, 645, 461, 623)(432, 594, 462, 624, 482, 644, 448, 610, 481, 643, 463, 625)
	L = (1, 328)(2, 325)(3, 331)(4, 326)(5, 336)(6, 335)(7, 332)(8, 327)(9, 342)(10, 329)(11, 338)(12, 334)(13, 349)(14, 330)(15, 351)(16, 354)(17, 340)(18, 343)(19, 333)(20, 358)(21, 348)(22, 362)(23, 337)(24, 360)(25, 347)(26, 346)(27, 352)(28, 339)(29, 369)(30, 341)(31, 371)(32, 374)(33, 356)(34, 359)(35, 344)(36, 345)(37, 379)(38, 350)(39, 365)(40, 384)(41, 382)(42, 381)(43, 388)(44, 367)(45, 370)(46, 353)(47, 372)(48, 355)(49, 394)(50, 357)(51, 396)(52, 399)(53, 376)(54, 364)(55, 380)(56, 361)(57, 386)(58, 363)(59, 406)(60, 378)(61, 409)(62, 366)(63, 411)(64, 368)(65, 413)(66, 416)(67, 390)(68, 418)(69, 392)(70, 395)(71, 373)(72, 397)(73, 375)(74, 424)(75, 377)(76, 426)(77, 408)(78, 430)(79, 402)(80, 432)(81, 385)(82, 407)(83, 383)(84, 428)(85, 405)(86, 404)(87, 412)(88, 387)(89, 414)(90, 389)(91, 443)(92, 391)(93, 445)(94, 393)(95, 447)(96, 450)(97, 420)(98, 452)(99, 422)(100, 425)(101, 398)(102, 427)(103, 400)(104, 401)(105, 459)(106, 403)(107, 461)(108, 410)(109, 437)(110, 466)(111, 434)(112, 468)(113, 464)(114, 463)(115, 472)(116, 439)(117, 474)(118, 441)(119, 444)(120, 415)(121, 446)(122, 417)(123, 448)(124, 419)(125, 482)(126, 421)(127, 484)(128, 423)(129, 486)(130, 473)(131, 454)(132, 471)(133, 456)(134, 436)(135, 460)(136, 429)(137, 462)(138, 431)(139, 470)(140, 433)(141, 479)(142, 435)(143, 477)(144, 458)(145, 481)(146, 438)(147, 457)(148, 440)(149, 455)(150, 442)(151, 453)(152, 467)(153, 476)(154, 465)(155, 478)(156, 469)(157, 480)(158, 483)(159, 449)(160, 485)(161, 451)(162, 475)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2790
Graph:: bipartite
	v = 81 e = 324 f = 189
	degree seq :: [ 6^54, 12^27 ]

E28.2790 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6})
Quotient :: dipole
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 15>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (Y1^-1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^6, (Y3 * Y2^-1)^3, (Y3^-1 * Y1^-1)^6, Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1 * Y3 * Y1^3 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2 ]
Map:: polytopal
	R = (1, 163, 2, 164, 6, 168, 14, 176, 11, 173, 4, 166)(3, 165, 9, 171, 19, 181, 32, 194, 18, 180, 8, 170)(5, 167, 10, 172, 21, 183, 36, 198, 25, 187, 13, 175)(7, 169, 17, 179, 30, 192, 46, 208, 29, 191, 16, 178)(12, 174, 22, 184, 38, 200, 57, 219, 40, 202, 24, 186)(15, 177, 28, 190, 44, 206, 64, 226, 43, 205, 27, 189)(20, 182, 35, 197, 53, 215, 75, 237, 52, 214, 34, 196)(23, 185, 26, 188, 42, 204, 62, 224, 59, 221, 39, 201)(31, 193, 49, 211, 71, 233, 96, 258, 70, 232, 48, 210)(33, 195, 51, 213, 73, 235, 98, 260, 72, 234, 50, 212)(37, 199, 56, 218, 79, 241, 106, 268, 78, 240, 55, 217)(41, 203, 54, 216, 77, 239, 104, 266, 85, 247, 61, 223)(45, 207, 67, 229, 92, 254, 120, 282, 91, 253, 66, 228)(47, 209, 69, 231, 94, 256, 122, 284, 93, 255, 68, 230)(58, 220, 82, 244, 110, 272, 141, 303, 109, 271, 81, 243)(60, 222, 80, 242, 108, 270, 139, 301, 112, 274, 84, 246)(63, 225, 88, 250, 116, 278, 148, 310, 115, 277, 87, 249)(65, 227, 90, 252, 118, 280, 150, 312, 117, 279, 89, 251)(74, 236, 101, 263, 131, 293, 149, 311, 130, 292, 100, 262)(76, 238, 103, 265, 133, 295, 147, 309, 132, 294, 102, 264)(83, 245, 86, 248, 114, 276, 146, 308, 143, 305, 111, 273)(95, 257, 125, 287, 159, 321, 142, 304, 158, 320, 124, 286)(97, 259, 127, 289, 161, 323, 140, 302, 160, 322, 126, 288)(99, 261, 129, 291, 151, 313, 144, 306, 162, 324, 128, 290)(105, 267, 136, 298, 154, 316, 121, 283, 155, 317, 135, 297)(107, 269, 138, 300, 152, 314, 119, 281, 153, 315, 137, 299)(113, 275, 134, 296, 156, 318, 123, 285, 157, 319, 145, 307)(325, 487)(326, 488)(327, 489)(328, 490)(329, 491)(330, 492)(331, 493)(332, 494)(333, 495)(334, 496)(335, 497)(336, 498)(337, 499)(338, 500)(339, 501)(340, 502)(341, 503)(342, 504)(343, 505)(344, 506)(345, 507)(346, 508)(347, 509)(348, 510)(349, 511)(350, 512)(351, 513)(352, 514)(353, 515)(354, 516)(355, 517)(356, 518)(357, 519)(358, 520)(359, 521)(360, 522)(361, 523)(362, 524)(363, 525)(364, 526)(365, 527)(366, 528)(367, 529)(368, 530)(369, 531)(370, 532)(371, 533)(372, 534)(373, 535)(374, 536)(375, 537)(376, 538)(377, 539)(378, 540)(379, 541)(380, 542)(381, 543)(382, 544)(383, 545)(384, 546)(385, 547)(386, 548)(387, 549)(388, 550)(389, 551)(390, 552)(391, 553)(392, 554)(393, 555)(394, 556)(395, 557)(396, 558)(397, 559)(398, 560)(399, 561)(400, 562)(401, 563)(402, 564)(403, 565)(404, 566)(405, 567)(406, 568)(407, 569)(408, 570)(409, 571)(410, 572)(411, 573)(412, 574)(413, 575)(414, 576)(415, 577)(416, 578)(417, 579)(418, 580)(419, 581)(420, 582)(421, 583)(422, 584)(423, 585)(424, 586)(425, 587)(426, 588)(427, 589)(428, 590)(429, 591)(430, 592)(431, 593)(432, 594)(433, 595)(434, 596)(435, 597)(436, 598)(437, 599)(438, 600)(439, 601)(440, 602)(441, 603)(442, 604)(443, 605)(444, 606)(445, 607)(446, 608)(447, 609)(448, 610)(449, 611)(450, 612)(451, 613)(452, 614)(453, 615)(454, 616)(455, 617)(456, 618)(457, 619)(458, 620)(459, 621)(460, 622)(461, 623)(462, 624)(463, 625)(464, 626)(465, 627)(466, 628)(467, 629)(468, 630)(469, 631)(470, 632)(471, 633)(472, 634)(473, 635)(474, 636)(475, 637)(476, 638)(477, 639)(478, 640)(479, 641)(480, 642)(481, 643)(482, 644)(483, 645)(484, 646)(485, 647)(486, 648)
	L = (1, 327)(2, 331)(3, 329)(4, 334)(5, 325)(6, 339)(7, 332)(8, 326)(9, 344)(10, 336)(11, 346)(12, 328)(13, 333)(14, 350)(15, 340)(16, 330)(17, 355)(18, 341)(19, 357)(20, 337)(21, 361)(22, 347)(23, 335)(24, 345)(25, 359)(26, 351)(27, 338)(28, 369)(29, 352)(30, 371)(31, 342)(32, 373)(33, 358)(34, 343)(35, 365)(36, 378)(37, 348)(38, 382)(39, 362)(40, 380)(41, 349)(42, 387)(43, 366)(44, 389)(45, 353)(46, 391)(47, 372)(48, 354)(49, 374)(50, 356)(51, 398)(52, 375)(53, 400)(54, 379)(55, 360)(56, 384)(57, 404)(58, 363)(59, 406)(60, 364)(61, 377)(62, 410)(63, 367)(64, 412)(65, 390)(66, 368)(67, 392)(68, 370)(69, 419)(70, 393)(71, 421)(72, 395)(73, 423)(74, 376)(75, 425)(76, 385)(77, 429)(78, 401)(79, 431)(80, 405)(81, 381)(82, 407)(83, 383)(84, 403)(85, 427)(86, 411)(87, 386)(88, 413)(89, 388)(90, 443)(91, 414)(92, 445)(93, 416)(94, 447)(95, 394)(96, 449)(97, 396)(98, 451)(99, 424)(100, 397)(101, 426)(102, 399)(103, 437)(104, 458)(105, 402)(106, 460)(107, 408)(108, 464)(109, 432)(110, 466)(111, 434)(112, 462)(113, 409)(114, 471)(115, 438)(116, 473)(117, 440)(118, 475)(119, 415)(120, 477)(121, 417)(122, 479)(123, 448)(124, 418)(125, 450)(126, 420)(127, 452)(128, 422)(129, 474)(130, 453)(131, 472)(132, 455)(133, 470)(134, 459)(135, 428)(136, 461)(137, 430)(138, 468)(139, 486)(140, 433)(141, 484)(142, 435)(143, 482)(144, 436)(145, 457)(146, 469)(147, 439)(148, 456)(149, 441)(150, 454)(151, 476)(152, 442)(153, 478)(154, 444)(155, 480)(156, 446)(157, 467)(158, 481)(159, 465)(160, 483)(161, 463)(162, 485)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2789
Graph:: simple bipartite
	v = 189 e = 324 f = 81
	degree seq :: [ 2^162, 12^27 ]

E28.2791 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 6, 6})
Quotient :: edge
Aut^+ = C2 x ((C9 x C3) : C3) (small group id <162, 30>)
Aut   = C2 x (((C9 x C3) : C3) : C2) (small group id <324, 79>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^6, T2^2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 25, 15, 5)(2, 6, 17, 42, 21, 7)(4, 11, 30, 57, 34, 12)(8, 22, 51, 39, 33, 23)(10, 27, 60, 40, 63, 28)(13, 35, 56, 24, 55, 36)(14, 37, 16, 26, 58, 38)(18, 44, 77, 50, 80, 45)(19, 46, 74, 41, 73, 47)(20, 48, 29, 43, 75, 49)(31, 64, 104, 68, 107, 65)(32, 66, 88, 52, 87, 67)(53, 89, 130, 85, 109, 90)(54, 91, 59, 86, 131, 92)(61, 98, 140, 102, 142, 99)(62, 100, 135, 93, 134, 101)(69, 110, 137, 94, 136, 111)(70, 112, 71, 95, 138, 96)(72, 113, 76, 97, 139, 114)(78, 120, 155, 124, 156, 121)(79, 122, 150, 115, 149, 123)(81, 125, 152, 116, 151, 126)(82, 127, 83, 117, 153, 118)(84, 128, 103, 119, 154, 129)(105, 141, 161, 146, 162, 143)(106, 144, 158, 132, 157, 145)(108, 147, 160, 133, 159, 148)(163, 164, 166)(165, 170, 172)(167, 175, 176)(168, 178, 180)(169, 181, 182)(171, 186, 188)(173, 191, 193)(174, 194, 195)(177, 201, 202)(179, 203, 205)(183, 200, 212)(184, 192, 214)(185, 215, 216)(187, 204, 219)(189, 221, 223)(190, 224, 197)(196, 211, 230)(198, 231, 232)(199, 233, 234)(206, 238, 240)(207, 241, 208)(209, 243, 244)(210, 245, 246)(213, 247, 248)(217, 222, 255)(218, 256, 257)(220, 258, 259)(225, 254, 264)(226, 265, 267)(227, 268, 228)(229, 270, 271)(235, 239, 277)(236, 278, 279)(237, 280, 281)(242, 276, 286)(249, 266, 294)(250, 295, 251)(252, 287, 285)(253, 284, 283)(260, 282, 303)(261, 290, 262)(263, 289, 272)(269, 291, 308)(273, 288, 310)(274, 309, 307)(275, 306, 305)(292, 313, 312)(293, 311, 317)(296, 302, 316)(297, 315, 298)(299, 314, 322)(300, 321, 320)(301, 319, 323)(304, 318, 324)
	L = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 12^3 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2792
Transitivity :: ET+
Graph:: simple bipartite
	v = 81 e = 162 f = 27
	degree seq :: [ 3^54, 6^27 ]

E28.2792 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 6, 6})
Quotient :: loop
Aut^+ = C2 x ((C9 x C3) : C3) (small group id <162, 30>)
Aut   = C2 x (((C9 x C3) : C3) : C2) (small group id <324, 79>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^6, T2^2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 163, 3, 165, 9, 171, 25, 187, 15, 177, 5, 167)(2, 164, 6, 168, 17, 179, 42, 204, 21, 183, 7, 169)(4, 166, 11, 173, 30, 192, 57, 219, 34, 196, 12, 174)(8, 170, 22, 184, 51, 213, 39, 201, 33, 195, 23, 185)(10, 172, 27, 189, 60, 222, 40, 202, 63, 225, 28, 190)(13, 175, 35, 197, 56, 218, 24, 186, 55, 217, 36, 198)(14, 176, 37, 199, 16, 178, 26, 188, 58, 220, 38, 200)(18, 180, 44, 206, 77, 239, 50, 212, 80, 242, 45, 207)(19, 181, 46, 208, 74, 236, 41, 203, 73, 235, 47, 209)(20, 182, 48, 210, 29, 191, 43, 205, 75, 237, 49, 211)(31, 193, 64, 226, 104, 266, 68, 230, 107, 269, 65, 227)(32, 194, 66, 228, 88, 250, 52, 214, 87, 249, 67, 229)(53, 215, 89, 251, 130, 292, 85, 247, 109, 271, 90, 252)(54, 216, 91, 253, 59, 221, 86, 248, 131, 293, 92, 254)(61, 223, 98, 260, 140, 302, 102, 264, 142, 304, 99, 261)(62, 224, 100, 262, 135, 297, 93, 255, 134, 296, 101, 263)(69, 231, 110, 272, 137, 299, 94, 256, 136, 298, 111, 273)(70, 232, 112, 274, 71, 233, 95, 257, 138, 300, 96, 258)(72, 234, 113, 275, 76, 238, 97, 259, 139, 301, 114, 276)(78, 240, 120, 282, 155, 317, 124, 286, 156, 318, 121, 283)(79, 241, 122, 284, 150, 312, 115, 277, 149, 311, 123, 285)(81, 243, 125, 287, 152, 314, 116, 278, 151, 313, 126, 288)(82, 244, 127, 289, 83, 245, 117, 279, 153, 315, 118, 280)(84, 246, 128, 290, 103, 265, 119, 281, 154, 316, 129, 291)(105, 267, 141, 303, 161, 323, 146, 308, 162, 324, 143, 305)(106, 268, 144, 306, 158, 320, 132, 294, 157, 319, 145, 307)(108, 270, 147, 309, 160, 322, 133, 295, 159, 321, 148, 310)
	L = (1, 164)(2, 166)(3, 170)(4, 163)(5, 175)(6, 178)(7, 181)(8, 172)(9, 186)(10, 165)(11, 191)(12, 194)(13, 176)(14, 167)(15, 201)(16, 180)(17, 203)(18, 168)(19, 182)(20, 169)(21, 200)(22, 192)(23, 215)(24, 188)(25, 204)(26, 171)(27, 221)(28, 224)(29, 193)(30, 214)(31, 173)(32, 195)(33, 174)(34, 211)(35, 190)(36, 231)(37, 233)(38, 212)(39, 202)(40, 177)(41, 205)(42, 219)(43, 179)(44, 238)(45, 241)(46, 207)(47, 243)(48, 245)(49, 230)(50, 183)(51, 247)(52, 184)(53, 216)(54, 185)(55, 222)(56, 256)(57, 187)(58, 258)(59, 223)(60, 255)(61, 189)(62, 197)(63, 254)(64, 265)(65, 268)(66, 227)(67, 270)(68, 196)(69, 232)(70, 198)(71, 234)(72, 199)(73, 239)(74, 278)(75, 280)(76, 240)(77, 277)(78, 206)(79, 208)(80, 276)(81, 244)(82, 209)(83, 246)(84, 210)(85, 248)(86, 213)(87, 266)(88, 295)(89, 250)(90, 287)(91, 284)(92, 264)(93, 217)(94, 257)(95, 218)(96, 259)(97, 220)(98, 282)(99, 290)(100, 261)(101, 289)(102, 225)(103, 267)(104, 294)(105, 226)(106, 228)(107, 291)(108, 271)(109, 229)(110, 263)(111, 288)(112, 309)(113, 306)(114, 286)(115, 235)(116, 279)(117, 236)(118, 281)(119, 237)(120, 303)(121, 253)(122, 283)(123, 252)(124, 242)(125, 285)(126, 310)(127, 272)(128, 262)(129, 308)(130, 313)(131, 311)(132, 249)(133, 251)(134, 302)(135, 315)(136, 297)(137, 314)(138, 321)(139, 319)(140, 316)(141, 260)(142, 318)(143, 275)(144, 305)(145, 274)(146, 269)(147, 307)(148, 273)(149, 317)(150, 292)(151, 312)(152, 322)(153, 298)(154, 296)(155, 293)(156, 324)(157, 323)(158, 300)(159, 320)(160, 299)(161, 301)(162, 304)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2791
Transitivity :: ET+ VT+ AT
Graph::
	v = 27 e = 162 f = 81
	degree seq :: [ 12^27 ]

E28.2793 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x ((C9 x C3) : C3) (small group id <162, 30>)
Aut   = C2 x (((C9 x C3) : C3) : C2) (small group id <324, 79>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y1^3, Y3^2 * Y1^-1, R * Y3 * R * Y1^-1, Y2^6, R * Y2 * Y1 * R * Y2 * Y3^-1, Y2^6, Y2 * Y1 * Y2^-2 * Y3^-1 * Y2 * Y1, Y2^-1 * Y1^-1 * Y2^3 * Y3^-1 * Y2^-2, Y1 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y2^-2, Y2^2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y1 * Y2^-2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1, Y2^-1 * Y3 * Y2 * Y3 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, (Y3 * Y2^-1)^6, Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1 ]
Map::
	R = (1, 163, 2, 164, 4, 166)(3, 165, 8, 170, 10, 172)(5, 167, 13, 175, 14, 176)(6, 168, 16, 178, 18, 180)(7, 169, 19, 181, 20, 182)(9, 171, 24, 186, 26, 188)(11, 173, 29, 191, 31, 193)(12, 174, 32, 194, 33, 195)(15, 177, 39, 201, 40, 202)(17, 179, 41, 203, 43, 205)(21, 183, 38, 200, 50, 212)(22, 184, 30, 192, 52, 214)(23, 185, 53, 215, 54, 216)(25, 187, 42, 204, 57, 219)(27, 189, 59, 221, 61, 223)(28, 190, 62, 224, 35, 197)(34, 196, 49, 211, 68, 230)(36, 198, 69, 231, 70, 232)(37, 199, 71, 233, 72, 234)(44, 206, 76, 238, 78, 240)(45, 207, 79, 241, 46, 208)(47, 209, 81, 243, 82, 244)(48, 210, 83, 245, 84, 246)(51, 213, 85, 247, 86, 248)(55, 217, 60, 222, 93, 255)(56, 218, 94, 256, 95, 257)(58, 220, 96, 258, 97, 259)(63, 225, 92, 254, 102, 264)(64, 226, 103, 265, 105, 267)(65, 227, 106, 268, 66, 228)(67, 229, 108, 270, 109, 271)(73, 235, 77, 239, 115, 277)(74, 236, 116, 278, 117, 279)(75, 237, 118, 280, 119, 281)(80, 242, 114, 276, 124, 286)(87, 249, 104, 266, 132, 294)(88, 250, 133, 295, 89, 251)(90, 252, 125, 287, 123, 285)(91, 253, 122, 284, 121, 283)(98, 260, 120, 282, 141, 303)(99, 261, 128, 290, 100, 262)(101, 263, 127, 289, 110, 272)(107, 269, 129, 291, 146, 308)(111, 273, 126, 288, 148, 310)(112, 274, 147, 309, 145, 307)(113, 275, 144, 306, 143, 305)(130, 292, 151, 313, 150, 312)(131, 293, 149, 311, 155, 317)(134, 296, 140, 302, 154, 316)(135, 297, 153, 315, 136, 298)(137, 299, 152, 314, 160, 322)(138, 300, 159, 321, 158, 320)(139, 301, 157, 319, 161, 323)(142, 304, 156, 318, 162, 324)(325, 487, 327, 489, 333, 495, 349, 511, 339, 501, 329, 491)(326, 488, 330, 492, 341, 503, 366, 528, 345, 507, 331, 493)(328, 490, 335, 497, 354, 516, 381, 543, 358, 520, 336, 498)(332, 494, 346, 508, 375, 537, 363, 525, 357, 519, 347, 509)(334, 496, 351, 513, 384, 546, 364, 526, 387, 549, 352, 514)(337, 499, 359, 521, 380, 542, 348, 510, 379, 541, 360, 522)(338, 500, 361, 523, 340, 502, 350, 512, 382, 544, 362, 524)(342, 504, 368, 530, 401, 563, 374, 536, 404, 566, 369, 531)(343, 505, 370, 532, 398, 560, 365, 527, 397, 559, 371, 533)(344, 506, 372, 534, 353, 515, 367, 529, 399, 561, 373, 535)(355, 517, 388, 550, 428, 590, 392, 554, 431, 593, 389, 551)(356, 518, 390, 552, 412, 574, 376, 538, 411, 573, 391, 553)(377, 539, 413, 575, 454, 616, 409, 571, 433, 595, 414, 576)(378, 540, 415, 577, 383, 545, 410, 572, 455, 617, 416, 578)(385, 547, 422, 584, 464, 626, 426, 588, 466, 628, 423, 585)(386, 548, 424, 586, 459, 621, 417, 579, 458, 620, 425, 587)(393, 555, 434, 596, 461, 623, 418, 580, 460, 622, 435, 597)(394, 556, 436, 598, 395, 557, 419, 581, 462, 624, 420, 582)(396, 558, 437, 599, 400, 562, 421, 583, 463, 625, 438, 600)(402, 564, 444, 606, 479, 641, 448, 610, 480, 642, 445, 607)(403, 565, 446, 608, 474, 636, 439, 601, 473, 635, 447, 609)(405, 567, 449, 611, 476, 638, 440, 602, 475, 637, 450, 612)(406, 568, 451, 613, 407, 569, 441, 603, 477, 639, 442, 604)(408, 570, 452, 614, 427, 589, 443, 605, 478, 640, 453, 615)(429, 591, 465, 627, 485, 647, 470, 632, 486, 648, 467, 629)(430, 592, 468, 630, 482, 644, 456, 618, 481, 643, 469, 631)(432, 594, 471, 633, 484, 646, 457, 619, 483, 645, 472, 634)
	L = (1, 328)(2, 325)(3, 334)(4, 326)(5, 338)(6, 342)(7, 344)(8, 327)(9, 350)(10, 332)(11, 355)(12, 357)(13, 329)(14, 337)(15, 364)(16, 330)(17, 367)(18, 340)(19, 331)(20, 343)(21, 374)(22, 376)(23, 378)(24, 333)(25, 381)(26, 348)(27, 385)(28, 359)(29, 335)(30, 346)(31, 353)(32, 336)(33, 356)(34, 392)(35, 386)(36, 394)(37, 396)(38, 345)(39, 339)(40, 363)(41, 341)(42, 349)(43, 365)(44, 402)(45, 370)(46, 403)(47, 406)(48, 408)(49, 358)(50, 362)(51, 410)(52, 354)(53, 347)(54, 377)(55, 417)(56, 419)(57, 366)(58, 421)(59, 351)(60, 379)(61, 383)(62, 352)(63, 426)(64, 429)(65, 390)(66, 430)(67, 433)(68, 373)(69, 360)(70, 393)(71, 361)(72, 395)(73, 439)(74, 441)(75, 443)(76, 368)(77, 397)(78, 400)(79, 369)(80, 448)(81, 371)(82, 405)(83, 372)(84, 407)(85, 375)(86, 409)(87, 456)(88, 413)(89, 457)(90, 447)(91, 445)(92, 387)(93, 384)(94, 380)(95, 418)(96, 382)(97, 420)(98, 465)(99, 424)(100, 452)(101, 434)(102, 416)(103, 388)(104, 411)(105, 427)(106, 389)(107, 470)(108, 391)(109, 432)(110, 451)(111, 472)(112, 469)(113, 467)(114, 404)(115, 401)(116, 398)(117, 440)(118, 399)(119, 442)(120, 422)(121, 446)(122, 415)(123, 449)(124, 438)(125, 414)(126, 435)(127, 425)(128, 423)(129, 431)(130, 474)(131, 479)(132, 428)(133, 412)(134, 478)(135, 460)(136, 477)(137, 484)(138, 482)(139, 485)(140, 458)(141, 444)(142, 486)(143, 468)(144, 437)(145, 471)(146, 453)(147, 436)(148, 450)(149, 455)(150, 475)(151, 454)(152, 461)(153, 459)(154, 464)(155, 473)(156, 466)(157, 463)(158, 483)(159, 462)(160, 476)(161, 481)(162, 480)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2794
Graph:: bipartite
	v = 81 e = 324 f = 189
	degree seq :: [ 6^54, 12^27 ]

E28.2794 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x ((C9 x C3) : C3) (small group id <162, 30>)
Aut   = C2 x (((C9 x C3) : C3) : C2) (small group id <324, 79>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y1^6, Y3^-1 * Y1^2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, (Y3^-1, Y1^-1)^3, Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map::
	R = (1, 163, 2, 164, 6, 168, 16, 178, 12, 174, 4, 166)(3, 165, 9, 171, 23, 185, 41, 203, 27, 189, 10, 172)(5, 167, 14, 176, 35, 197, 42, 204, 39, 201, 15, 177)(7, 169, 19, 181, 46, 208, 31, 193, 40, 202, 20, 182)(8, 170, 21, 183, 50, 212, 32, 194, 54, 216, 22, 184)(11, 173, 29, 191, 44, 206, 17, 179, 43, 205, 30, 192)(13, 175, 33, 195, 24, 186, 18, 180, 45, 207, 34, 196)(25, 187, 57, 219, 94, 256, 61, 223, 98, 260, 58, 220)(26, 188, 59, 221, 92, 254, 55, 217, 91, 253, 60, 222)(28, 190, 62, 224, 36, 198, 56, 218, 93, 255, 63, 225)(37, 199, 68, 230, 108, 270, 72, 234, 112, 274, 69, 231)(38, 200, 70, 232, 81, 243, 47, 209, 80, 242, 71, 233)(48, 210, 82, 244, 121, 283, 78, 240, 114, 276, 83, 245)(49, 211, 84, 246, 51, 213, 79, 241, 122, 284, 85, 247)(52, 214, 86, 248, 129, 291, 90, 252, 133, 295, 87, 249)(53, 215, 88, 250, 116, 278, 73, 235, 115, 277, 89, 251)(64, 226, 103, 265, 118, 280, 74, 236, 117, 279, 104, 266)(65, 227, 105, 267, 66, 228, 75, 237, 119, 281, 76, 238)(67, 229, 106, 268, 95, 257, 77, 239, 120, 282, 107, 269)(96, 258, 130, 292, 160, 322, 140, 302, 161, 323, 128, 290)(97, 259, 127, 289, 158, 320, 135, 297, 159, 321, 126, 288)(99, 261, 125, 287, 151, 313, 136, 298, 157, 319, 141, 303)(100, 262, 134, 296, 101, 263, 137, 299, 150, 312, 138, 300)(102, 264, 132, 294, 109, 271, 139, 301, 149, 311, 142, 304)(110, 272, 131, 293, 156, 318, 148, 310, 162, 324, 147, 309)(111, 273, 146, 308, 154, 316, 123, 285, 155, 317, 145, 307)(113, 275, 144, 306, 152, 314, 124, 286, 153, 315, 143, 305)(325, 487)(326, 488)(327, 489)(328, 490)(329, 491)(330, 492)(331, 493)(332, 494)(333, 495)(334, 496)(335, 497)(336, 498)(337, 499)(338, 500)(339, 501)(340, 502)(341, 503)(342, 504)(343, 505)(344, 506)(345, 507)(346, 508)(347, 509)(348, 510)(349, 511)(350, 512)(351, 513)(352, 514)(353, 515)(354, 516)(355, 517)(356, 518)(357, 519)(358, 520)(359, 521)(360, 522)(361, 523)(362, 524)(363, 525)(364, 526)(365, 527)(366, 528)(367, 529)(368, 530)(369, 531)(370, 532)(371, 533)(372, 534)(373, 535)(374, 536)(375, 537)(376, 538)(377, 539)(378, 540)(379, 541)(380, 542)(381, 543)(382, 544)(383, 545)(384, 546)(385, 547)(386, 548)(387, 549)(388, 550)(389, 551)(390, 552)(391, 553)(392, 554)(393, 555)(394, 556)(395, 557)(396, 558)(397, 559)(398, 560)(399, 561)(400, 562)(401, 563)(402, 564)(403, 565)(404, 566)(405, 567)(406, 568)(407, 569)(408, 570)(409, 571)(410, 572)(411, 573)(412, 574)(413, 575)(414, 576)(415, 577)(416, 578)(417, 579)(418, 580)(419, 581)(420, 582)(421, 583)(422, 584)(423, 585)(424, 586)(425, 587)(426, 588)(427, 589)(428, 590)(429, 591)(430, 592)(431, 593)(432, 594)(433, 595)(434, 596)(435, 597)(436, 598)(437, 599)(438, 600)(439, 601)(440, 602)(441, 603)(442, 604)(443, 605)(444, 606)(445, 607)(446, 608)(447, 609)(448, 610)(449, 611)(450, 612)(451, 613)(452, 614)(453, 615)(454, 616)(455, 617)(456, 618)(457, 619)(458, 620)(459, 621)(460, 622)(461, 623)(462, 624)(463, 625)(464, 626)(465, 627)(466, 628)(467, 629)(468, 630)(469, 631)(470, 632)(471, 633)(472, 634)(473, 635)(474, 636)(475, 637)(476, 638)(477, 639)(478, 640)(479, 641)(480, 642)(481, 643)(482, 644)(483, 645)(484, 646)(485, 647)(486, 648)
	L = (1, 327)(2, 331)(3, 329)(4, 335)(5, 325)(6, 341)(7, 332)(8, 326)(9, 348)(10, 350)(11, 337)(12, 355)(13, 328)(14, 360)(15, 362)(16, 365)(17, 342)(18, 330)(19, 359)(20, 372)(21, 375)(22, 377)(23, 379)(24, 349)(25, 333)(26, 352)(27, 358)(28, 334)(29, 346)(30, 388)(31, 356)(32, 336)(33, 390)(34, 385)(35, 371)(36, 361)(37, 338)(38, 364)(39, 387)(40, 339)(41, 366)(42, 340)(43, 374)(44, 398)(45, 400)(46, 402)(47, 343)(48, 373)(49, 344)(50, 397)(51, 376)(52, 345)(53, 353)(54, 409)(55, 380)(56, 347)(57, 419)(58, 421)(59, 382)(60, 423)(61, 351)(62, 425)(63, 396)(64, 389)(65, 354)(66, 391)(67, 357)(68, 433)(69, 435)(70, 393)(71, 437)(72, 363)(73, 367)(74, 399)(75, 368)(76, 401)(77, 369)(78, 403)(79, 370)(80, 432)(81, 448)(82, 405)(83, 449)(84, 451)(85, 414)(86, 454)(87, 456)(88, 411)(89, 458)(90, 378)(91, 418)(92, 460)(93, 462)(94, 459)(95, 420)(96, 381)(97, 383)(98, 431)(99, 424)(100, 384)(101, 426)(102, 386)(103, 413)(104, 465)(105, 468)(106, 470)(107, 464)(108, 447)(109, 434)(110, 392)(111, 394)(112, 466)(113, 438)(114, 395)(115, 453)(116, 474)(117, 440)(118, 475)(119, 477)(120, 479)(121, 481)(122, 483)(123, 404)(124, 406)(125, 450)(126, 407)(127, 452)(128, 408)(129, 473)(130, 455)(131, 410)(132, 412)(133, 485)(134, 427)(135, 415)(136, 461)(137, 416)(138, 463)(139, 417)(140, 422)(141, 467)(142, 472)(143, 428)(144, 469)(145, 429)(146, 471)(147, 430)(148, 436)(149, 439)(150, 441)(151, 476)(152, 442)(153, 478)(154, 443)(155, 480)(156, 444)(157, 482)(158, 445)(159, 484)(160, 446)(161, 486)(162, 457)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2793
Graph:: simple bipartite
	v = 189 e = 324 f = 81
	degree seq :: [ 2^162, 12^27 ]

E28.2795 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 6, 6})
Quotient :: edge
Aut^+ = C3 x (((C3 x C3) : C3) : C2) (small group id <162, 34>)
Aut   = (C3 x (((C3 x C3) : C3) : C2)) : C2 (small group id <324, 121>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T1^-1 * T2^2 * T1 * T2^-2, T2^6, T2 * T1 * T2^-1 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1, (T2^-1 * T1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 24, 15, 5)(2, 6, 17, 37, 21, 7)(4, 11, 25, 48, 32, 12)(8, 22, 43, 33, 13, 23)(10, 26, 47, 34, 14, 27)(16, 35, 64, 40, 19, 36)(18, 38, 68, 41, 20, 39)(28, 53, 83, 57, 30, 54)(29, 55, 84, 58, 31, 56)(42, 77, 59, 81, 45, 78)(44, 79, 60, 82, 46, 80)(49, 85, 61, 89, 51, 86)(50, 87, 62, 90, 52, 88)(63, 103, 73, 107, 66, 104)(65, 105, 74, 108, 67, 106)(69, 109, 75, 113, 71, 110)(70, 111, 76, 114, 72, 112)(91, 133, 99, 135, 93, 134)(92, 125, 100, 131, 94, 127)(95, 136, 101, 138, 97, 137)(96, 115, 102, 121, 98, 117)(116, 145, 122, 147, 118, 146)(119, 148, 123, 150, 120, 149)(124, 151, 130, 153, 126, 152)(128, 154, 132, 156, 129, 155)(139, 157, 141, 159, 140, 158)(142, 160, 144, 162, 143, 161)(163, 164, 166)(165, 170, 172)(167, 175, 176)(168, 178, 180)(169, 181, 182)(171, 179, 187)(173, 190, 191)(174, 192, 193)(177, 183, 194)(184, 204, 206)(185, 207, 208)(186, 205, 209)(188, 211, 212)(189, 213, 214)(195, 221, 222)(196, 223, 224)(197, 225, 227)(198, 228, 229)(199, 226, 230)(200, 231, 232)(201, 233, 234)(202, 235, 236)(203, 237, 238)(210, 245, 246)(215, 253, 254)(216, 255, 256)(217, 257, 258)(218, 259, 260)(219, 261, 262)(220, 263, 264)(239, 277, 278)(240, 279, 280)(241, 271, 281)(242, 272, 282)(243, 283, 284)(244, 275, 285)(247, 286, 287)(248, 288, 289)(249, 290, 265)(250, 291, 266)(251, 292, 293)(252, 294, 269)(267, 298, 301)(268, 299, 302)(270, 300, 303)(273, 304, 295)(274, 305, 296)(276, 306, 297)(307, 316, 322)(308, 317, 323)(309, 318, 324)(310, 319, 313)(311, 320, 314)(312, 321, 315)
	L = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 12^3 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2802
Transitivity :: ET+
Graph:: simple bipartite
	v = 81 e = 162 f = 27
	degree seq :: [ 3^54, 6^27 ]

E28.2796 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 6, 6})
Quotient :: edge
Aut^+ = C3 x (((C3 x C3) : C3) : C2) (small group id <162, 34>)
Aut   = (C3 x (((C3 x C3) : C3) : C2)) : C2 (small group id <324, 121>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^6, T1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1, (T2^2 * T1)^3, (T2^-2 * T1)^3, (T2^-1 * T1 * T2^-2 * T1^-1)^2, (T2^-1 * T1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 25, 15, 5)(2, 6, 17, 44, 21, 7)(4, 11, 30, 72, 34, 12)(8, 22, 55, 116, 58, 23)(10, 27, 65, 131, 68, 28)(13, 35, 82, 95, 83, 36)(14, 37, 85, 149, 88, 38)(16, 41, 94, 153, 97, 42)(18, 46, 103, 86, 105, 47)(19, 48, 106, 136, 107, 49)(20, 50, 108, 157, 111, 51)(24, 59, 80, 145, 124, 60)(26, 63, 52, 112, 130, 64)(29, 69, 135, 159, 137, 70)(31, 66, 128, 109, 142, 74)(32, 75, 118, 56, 117, 76)(33, 77, 129, 162, 144, 78)(39, 89, 151, 141, 73, 90)(40, 91, 152, 98, 43, 92)(45, 101, 79, 122, 156, 102)(53, 113, 158, 138, 71, 114)(54, 99, 154, 146, 81, 115)(57, 119, 93, 139, 160, 120)(61, 125, 134, 96, 150, 126)(62, 110, 121, 104, 147, 127)(67, 132, 161, 140, 87, 133)(84, 123, 155, 100, 143, 148)(163, 164, 166)(165, 170, 172)(167, 175, 176)(168, 178, 180)(169, 181, 182)(171, 186, 188)(173, 191, 193)(174, 194, 195)(177, 201, 202)(179, 205, 207)(183, 214, 215)(184, 216, 218)(185, 210, 219)(187, 223, 224)(189, 208, 228)(190, 212, 229)(192, 233, 235)(196, 241, 242)(197, 243, 232)(198, 211, 238)(199, 246, 236)(200, 248, 249)(203, 255, 257)(204, 237, 258)(206, 261, 262)(209, 239, 266)(213, 271, 272)(217, 250, 276)(220, 283, 284)(221, 256, 273)(222, 268, 285)(225, 279, 290)(226, 281, 291)(227, 263, 245)(230, 275, 296)(231, 288, 298)(234, 301, 302)(240, 293, 305)(244, 309, 300)(247, 264, 312)(251, 259, 310)(252, 269, 265)(253, 282, 304)(254, 297, 306)(260, 280, 294)(267, 307, 308)(270, 303, 277)(274, 299, 295)(278, 315, 321)(286, 314, 320)(287, 316, 322)(289, 317, 323)(292, 318, 313)(311, 319, 324)
	L = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 12^3 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2801
Transitivity :: ET+
Graph:: simple bipartite
	v = 81 e = 162 f = 27
	degree seq :: [ 3^54, 6^27 ]

E28.2797 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 6, 6})
Quotient :: edge
Aut^+ = C3 x (((C3 x C3) : C3) : C2) (small group id <162, 34>)
Aut   = (C3 x (((C3 x C3) : C3) : C2)) : C2 (small group id <324, 121>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^6, T2^-1 * T1^-1 * T2^-1 * T1 * T2 * T1 * T2 * T1^-1, (T2^2 * T1^-1)^3, (T1 * T2^2)^3, T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^3 * T1^-1, T2 * T1^-1 * T2^-2 * T1 * T2^-1 * T1 * T2^2 * T1^-1, T2^-1 * T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 25, 15, 5)(2, 6, 17, 44, 21, 7)(4, 11, 30, 73, 34, 12)(8, 22, 54, 107, 58, 23)(10, 27, 66, 131, 70, 28)(13, 35, 81, 147, 85, 36)(14, 37, 86, 140, 88, 38)(16, 41, 93, 143, 94, 42)(18, 46, 101, 156, 103, 47)(19, 48, 104, 157, 108, 49)(20, 50, 109, 65, 111, 51)(24, 59, 80, 145, 122, 60)(26, 63, 52, 112, 130, 64)(29, 55, 115, 84, 136, 71)(31, 75, 127, 162, 142, 76)(32, 57, 118, 159, 126, 77)(33, 69, 129, 100, 144, 78)(39, 89, 151, 139, 74, 90)(40, 91, 152, 95, 43, 92)(45, 98, 79, 120, 155, 99)(53, 113, 158, 137, 72, 114)(56, 116, 153, 96, 83, 117)(61, 123, 135, 105, 149, 124)(62, 125, 119, 110, 146, 102)(67, 132, 161, 150, 87, 133)(68, 121, 141, 97, 154, 134)(82, 128, 160, 138, 106, 148)(163, 164, 166)(165, 170, 172)(167, 175, 176)(168, 178, 180)(169, 181, 182)(171, 186, 188)(173, 191, 193)(174, 194, 195)(177, 201, 202)(179, 205, 207)(183, 214, 215)(184, 203, 217)(185, 218, 219)(187, 223, 224)(189, 227, 229)(190, 230, 231)(192, 234, 236)(196, 241, 242)(197, 204, 244)(198, 245, 246)(199, 209, 249)(200, 213, 240)(206, 258, 259)(208, 262, 264)(210, 233, 267)(211, 268, 269)(212, 238, 272)(216, 250, 276)(220, 281, 282)(221, 255, 273)(222, 266, 283)(225, 288, 289)(226, 290, 291)(228, 260, 247)(232, 275, 297)(235, 300, 294)(237, 302, 303)(239, 285, 305)(243, 308, 299)(248, 261, 311)(251, 256, 296)(252, 270, 263)(253, 310, 304)(254, 277, 306)(257, 280, 295)(265, 307, 279)(271, 301, 278)(274, 298, 312)(284, 314, 320)(286, 315, 322)(287, 316, 323)(292, 317, 313)(293, 318, 324)(309, 319, 321)
	L = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 12^3 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2800
Transitivity :: ET+
Graph:: simple bipartite
	v = 81 e = 162 f = 27
	degree seq :: [ 3^54, 6^27 ]

E28.2798 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 6, 6})
Quotient :: edge
Aut^+ = C3 x (((C3 x C3) : C3) : C2) (small group id <162, 34>)
Aut   = (C3 x (((C3 x C3) : C3) : C2)) : C2 (small group id <324, 121>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^6, (T1^-1, T2^-1, T1^-1), (T2^-2 * T1)^3, (T2^2 * T1)^3, T1 * T2 * T1 * T2^2 * T1^-1 * T2^-1 * T1^-1 * T2^-2, (T1^-1 * T2^2 * T1 * T2)^2, (T2^-1 * T1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 25, 15, 5)(2, 6, 17, 44, 21, 7)(4, 11, 30, 72, 34, 12)(8, 22, 55, 117, 58, 23)(10, 27, 66, 112, 69, 28)(13, 35, 81, 134, 84, 36)(14, 37, 85, 104, 88, 38)(16, 41, 94, 82, 96, 42)(18, 46, 103, 143, 105, 47)(19, 48, 106, 54, 109, 49)(20, 50, 110, 140, 113, 51)(24, 59, 80, 144, 124, 60)(26, 63, 52, 114, 130, 64)(29, 70, 135, 107, 120, 57)(31, 74, 128, 87, 132, 68)(32, 75, 141, 93, 127, 76)(33, 77, 129, 67, 131, 78)(39, 89, 149, 139, 73, 90)(40, 91, 150, 97, 43, 92)(45, 100, 79, 122, 152, 101)(53, 115, 156, 137, 71, 116)(56, 118, 83, 146, 157, 119)(61, 108, 133, 160, 147, 95)(62, 125, 121, 158, 145, 126)(65, 99, 86, 148, 159, 123)(98, 142, 153, 162, 154, 136)(102, 138, 111, 155, 161, 151)(163, 164, 166)(165, 170, 172)(167, 175, 176)(168, 178, 180)(169, 181, 182)(171, 186, 188)(173, 191, 193)(174, 194, 195)(177, 201, 202)(179, 205, 207)(183, 214, 215)(184, 216, 218)(185, 204, 219)(187, 223, 224)(189, 227, 229)(190, 209, 230)(192, 233, 235)(196, 241, 242)(197, 210, 237)(198, 244, 245)(199, 212, 239)(200, 248, 249)(203, 255, 257)(206, 260, 261)(208, 264, 266)(211, 269, 270)(213, 273, 274)(217, 250, 278)(220, 283, 284)(221, 256, 275)(222, 268, 285)(225, 289, 290)(226, 281, 291)(228, 262, 246)(231, 277, 295)(232, 296, 298)(234, 280, 300)(236, 288, 302)(238, 279, 304)(240, 287, 305)(243, 307, 299)(247, 263, 309)(251, 258, 310)(252, 271, 265)(253, 308, 294)(254, 297, 293)(259, 303, 313)(267, 306, 315)(272, 301, 316)(276, 282, 317)(286, 312, 318)(292, 314, 311)(319, 322, 324)(320, 321, 323)
	L = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 12^3 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2803
Transitivity :: ET+
Graph:: simple bipartite
	v = 81 e = 162 f = 27
	degree seq :: [ 3^54, 6^27 ]

E28.2799 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 6, 6})
Quotient :: edge
Aut^+ = C3 x (((C3 x C3) : C3) : C2) (small group id <162, 34>)
Aut   = (C3 x (((C3 x C3) : C3) : C2)) : C2 (small group id <324, 121>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^6, (T1^-1 * T2^-1)^3, T2 * T1^-1 * T2^-2 * T1 * T2, T2^6, (T2 * T1^-1)^3, T1^-2 * T2^2 * T1^-3 * T2^-2 * T1^-1, T2 * T1^2 * T2 * T1^-1 * T2^-1 * T1^2 * T2^-1 * T1^-3, (T2 * T1^-3)^3 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 30, 17, 5)(2, 7, 22, 52, 26, 8)(4, 12, 31, 62, 39, 14)(6, 19, 45, 88, 49, 20)(9, 28, 60, 35, 15, 29)(11, 24, 51, 21, 16, 33)(13, 36, 64, 114, 75, 37)(18, 42, 81, 133, 85, 43)(23, 47, 87, 44, 25, 54)(27, 58, 106, 78, 40, 59)(32, 65, 96, 79, 41, 66)(34, 69, 112, 73, 38, 70)(46, 83, 132, 80, 48, 90)(50, 94, 67, 101, 55, 95)(53, 97, 141, 102, 56, 98)(57, 103, 152, 128, 77, 104)(61, 108, 71, 105, 63, 111)(68, 119, 160, 127, 76, 120)(72, 84, 135, 82, 74, 124)(86, 139, 99, 146, 91, 140)(89, 142, 161, 147, 92, 143)(93, 148, 117, 156, 100, 149)(107, 159, 129, 137, 109, 134)(110, 155, 118, 145, 113, 138)(115, 144, 130, 136, 116, 131)(121, 151, 125, 150, 122, 157)(123, 153, 162, 158, 126, 154)(163, 164, 168, 180, 175, 166)(165, 171, 189, 219, 194, 173)(167, 177, 202, 239, 203, 178)(169, 183, 212, 255, 215, 185)(170, 186, 217, 262, 218, 187)(172, 184, 207, 243, 226, 193)(174, 196, 230, 280, 233, 197)(176, 200, 238, 272, 223, 190)(179, 188, 211, 247, 237, 201)(181, 206, 248, 300, 251, 208)(182, 209, 253, 307, 254, 210)(191, 224, 274, 322, 275, 225)(192, 222, 268, 314, 258, 213)(195, 229, 279, 303, 249, 214)(198, 234, 285, 318, 287, 235)(199, 236, 288, 310, 283, 231)(204, 242, 293, 290, 296, 244)(205, 245, 298, 265, 299, 246)(216, 261, 317, 323, 294, 250)(220, 267, 301, 259, 315, 269)(221, 270, 302, 260, 316, 271)(227, 277, 304, 281, 312, 256)(228, 278, 305, 282, 313, 257)(232, 276, 297, 324, 311, 284)(240, 273, 308, 264, 320, 291)(241, 292, 309, 289, 319, 263)(252, 306, 266, 321, 286, 295)
	L = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2804
Transitivity :: ET+
Graph:: simple bipartite
	v = 54 e = 162 f = 54
	degree seq :: [ 6^54 ]

E28.2800 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 6, 6})
Quotient :: loop
Aut^+ = C3 x (((C3 x C3) : C3) : C2) (small group id <162, 34>)
Aut   = (C3 x (((C3 x C3) : C3) : C2)) : C2 (small group id <324, 121>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T1^-1 * T2^2 * T1 * T2^-2, T2^6, T2 * T1 * T2^-1 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1, (T2^-1 * T1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 163, 3, 165, 9, 171, 24, 186, 15, 177, 5, 167)(2, 164, 6, 168, 17, 179, 37, 199, 21, 183, 7, 169)(4, 166, 11, 173, 25, 187, 48, 210, 32, 194, 12, 174)(8, 170, 22, 184, 43, 205, 33, 195, 13, 175, 23, 185)(10, 172, 26, 188, 47, 209, 34, 196, 14, 176, 27, 189)(16, 178, 35, 197, 64, 226, 40, 202, 19, 181, 36, 198)(18, 180, 38, 200, 68, 230, 41, 203, 20, 182, 39, 201)(28, 190, 53, 215, 83, 245, 57, 219, 30, 192, 54, 216)(29, 191, 55, 217, 84, 246, 58, 220, 31, 193, 56, 218)(42, 204, 77, 239, 59, 221, 81, 243, 45, 207, 78, 240)(44, 206, 79, 241, 60, 222, 82, 244, 46, 208, 80, 242)(49, 211, 85, 247, 61, 223, 89, 251, 51, 213, 86, 248)(50, 212, 87, 249, 62, 224, 90, 252, 52, 214, 88, 250)(63, 225, 103, 265, 73, 235, 107, 269, 66, 228, 104, 266)(65, 227, 105, 267, 74, 236, 108, 270, 67, 229, 106, 268)(69, 231, 109, 271, 75, 237, 113, 275, 71, 233, 110, 272)(70, 232, 111, 273, 76, 238, 114, 276, 72, 234, 112, 274)(91, 253, 133, 295, 99, 261, 135, 297, 93, 255, 134, 296)(92, 254, 125, 287, 100, 262, 131, 293, 94, 256, 127, 289)(95, 257, 136, 298, 101, 263, 138, 300, 97, 259, 137, 299)(96, 258, 115, 277, 102, 264, 121, 283, 98, 260, 117, 279)(116, 278, 145, 307, 122, 284, 147, 309, 118, 280, 146, 308)(119, 281, 148, 310, 123, 285, 150, 312, 120, 282, 149, 311)(124, 286, 151, 313, 130, 292, 153, 315, 126, 288, 152, 314)(128, 290, 154, 316, 132, 294, 156, 318, 129, 291, 155, 317)(139, 301, 157, 319, 141, 303, 159, 321, 140, 302, 158, 320)(142, 304, 160, 322, 144, 306, 162, 324, 143, 305, 161, 323)
	L = (1, 164)(2, 166)(3, 170)(4, 163)(5, 175)(6, 178)(7, 181)(8, 172)(9, 179)(10, 165)(11, 190)(12, 192)(13, 176)(14, 167)(15, 183)(16, 180)(17, 187)(18, 168)(19, 182)(20, 169)(21, 194)(22, 204)(23, 207)(24, 205)(25, 171)(26, 211)(27, 213)(28, 191)(29, 173)(30, 193)(31, 174)(32, 177)(33, 221)(34, 223)(35, 225)(36, 228)(37, 226)(38, 231)(39, 233)(40, 235)(41, 237)(42, 206)(43, 209)(44, 184)(45, 208)(46, 185)(47, 186)(48, 245)(49, 212)(50, 188)(51, 214)(52, 189)(53, 253)(54, 255)(55, 257)(56, 259)(57, 261)(58, 263)(59, 222)(60, 195)(61, 224)(62, 196)(63, 227)(64, 230)(65, 197)(66, 229)(67, 198)(68, 199)(69, 232)(70, 200)(71, 234)(72, 201)(73, 236)(74, 202)(75, 238)(76, 203)(77, 277)(78, 279)(79, 271)(80, 272)(81, 283)(82, 275)(83, 246)(84, 210)(85, 286)(86, 288)(87, 290)(88, 291)(89, 292)(90, 294)(91, 254)(92, 215)(93, 256)(94, 216)(95, 258)(96, 217)(97, 260)(98, 218)(99, 262)(100, 219)(101, 264)(102, 220)(103, 249)(104, 250)(105, 298)(106, 299)(107, 252)(108, 300)(109, 281)(110, 282)(111, 304)(112, 305)(113, 285)(114, 306)(115, 278)(116, 239)(117, 280)(118, 240)(119, 241)(120, 242)(121, 284)(122, 243)(123, 244)(124, 287)(125, 247)(126, 289)(127, 248)(128, 265)(129, 266)(130, 293)(131, 251)(132, 269)(133, 273)(134, 274)(135, 276)(136, 301)(137, 302)(138, 303)(139, 267)(140, 268)(141, 270)(142, 295)(143, 296)(144, 297)(145, 316)(146, 317)(147, 318)(148, 319)(149, 320)(150, 321)(151, 310)(152, 311)(153, 312)(154, 322)(155, 323)(156, 324)(157, 313)(158, 314)(159, 315)(160, 307)(161, 308)(162, 309)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2797
Transitivity :: ET+ VT+ AT
Graph::
	v = 27 e = 162 f = 81
	degree seq :: [ 12^27 ]

E28.2801 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 6, 6})
Quotient :: loop
Aut^+ = C3 x (((C3 x C3) : C3) : C2) (small group id <162, 34>)
Aut   = (C3 x (((C3 x C3) : C3) : C2)) : C2 (small group id <324, 121>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^6, T1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1, (T2^2 * T1)^3, (T2^-2 * T1)^3, (T2^-1 * T1 * T2^-2 * T1^-1)^2, (T2^-1 * T1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 163, 3, 165, 9, 171, 25, 187, 15, 177, 5, 167)(2, 164, 6, 168, 17, 179, 44, 206, 21, 183, 7, 169)(4, 166, 11, 173, 30, 192, 72, 234, 34, 196, 12, 174)(8, 170, 22, 184, 55, 217, 116, 278, 58, 220, 23, 185)(10, 172, 27, 189, 65, 227, 131, 293, 68, 230, 28, 190)(13, 175, 35, 197, 82, 244, 95, 257, 83, 245, 36, 198)(14, 176, 37, 199, 85, 247, 149, 311, 88, 250, 38, 200)(16, 178, 41, 203, 94, 256, 153, 315, 97, 259, 42, 204)(18, 180, 46, 208, 103, 265, 86, 248, 105, 267, 47, 209)(19, 181, 48, 210, 106, 268, 136, 298, 107, 269, 49, 211)(20, 182, 50, 212, 108, 270, 157, 319, 111, 273, 51, 213)(24, 186, 59, 221, 80, 242, 145, 307, 124, 286, 60, 222)(26, 188, 63, 225, 52, 214, 112, 274, 130, 292, 64, 226)(29, 191, 69, 231, 135, 297, 159, 321, 137, 299, 70, 232)(31, 193, 66, 228, 128, 290, 109, 271, 142, 304, 74, 236)(32, 194, 75, 237, 118, 280, 56, 218, 117, 279, 76, 238)(33, 195, 77, 239, 129, 291, 162, 324, 144, 306, 78, 240)(39, 201, 89, 251, 151, 313, 141, 303, 73, 235, 90, 252)(40, 202, 91, 253, 152, 314, 98, 260, 43, 205, 92, 254)(45, 207, 101, 263, 79, 241, 122, 284, 156, 318, 102, 264)(53, 215, 113, 275, 158, 320, 138, 300, 71, 233, 114, 276)(54, 216, 99, 261, 154, 316, 146, 308, 81, 243, 115, 277)(57, 219, 119, 281, 93, 255, 139, 301, 160, 322, 120, 282)(61, 223, 125, 287, 134, 296, 96, 258, 150, 312, 126, 288)(62, 224, 110, 272, 121, 283, 104, 266, 147, 309, 127, 289)(67, 229, 132, 294, 161, 323, 140, 302, 87, 249, 133, 295)(84, 246, 123, 285, 155, 317, 100, 262, 143, 305, 148, 310)
	L = (1, 164)(2, 166)(3, 170)(4, 163)(5, 175)(6, 178)(7, 181)(8, 172)(9, 186)(10, 165)(11, 191)(12, 194)(13, 176)(14, 167)(15, 201)(16, 180)(17, 205)(18, 168)(19, 182)(20, 169)(21, 214)(22, 216)(23, 210)(24, 188)(25, 223)(26, 171)(27, 208)(28, 212)(29, 193)(30, 233)(31, 173)(32, 195)(33, 174)(34, 241)(35, 243)(36, 211)(37, 246)(38, 248)(39, 202)(40, 177)(41, 255)(42, 237)(43, 207)(44, 261)(45, 179)(46, 228)(47, 239)(48, 219)(49, 238)(50, 229)(51, 271)(52, 215)(53, 183)(54, 218)(55, 250)(56, 184)(57, 185)(58, 283)(59, 256)(60, 268)(61, 224)(62, 187)(63, 279)(64, 281)(65, 263)(66, 189)(67, 190)(68, 275)(69, 288)(70, 197)(71, 235)(72, 301)(73, 192)(74, 199)(75, 258)(76, 198)(77, 266)(78, 293)(79, 242)(80, 196)(81, 232)(82, 309)(83, 227)(84, 236)(85, 264)(86, 249)(87, 200)(88, 276)(89, 259)(90, 269)(91, 282)(92, 297)(93, 257)(94, 273)(95, 203)(96, 204)(97, 310)(98, 280)(99, 262)(100, 206)(101, 245)(102, 312)(103, 252)(104, 209)(105, 307)(106, 285)(107, 265)(108, 303)(109, 272)(110, 213)(111, 221)(112, 299)(113, 296)(114, 217)(115, 270)(116, 315)(117, 290)(118, 294)(119, 291)(120, 304)(121, 284)(122, 220)(123, 222)(124, 314)(125, 316)(126, 298)(127, 317)(128, 225)(129, 226)(130, 318)(131, 305)(132, 260)(133, 274)(134, 230)(135, 306)(136, 231)(137, 295)(138, 244)(139, 302)(140, 234)(141, 277)(142, 253)(143, 240)(144, 254)(145, 308)(146, 267)(147, 300)(148, 251)(149, 319)(150, 247)(151, 292)(152, 320)(153, 321)(154, 322)(155, 323)(156, 313)(157, 324)(158, 286)(159, 278)(160, 287)(161, 289)(162, 311)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2796
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 27 e = 162 f = 81
	degree seq :: [ 12^27 ]

E28.2802 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 6, 6})
Quotient :: loop
Aut^+ = C3 x (((C3 x C3) : C3) : C2) (small group id <162, 34>)
Aut   = (C3 x (((C3 x C3) : C3) : C2)) : C2 (small group id <324, 121>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^6, T2^-1 * T1^-1 * T2^-1 * T1 * T2 * T1 * T2 * T1^-1, (T2^2 * T1^-1)^3, (T1 * T2^2)^3, T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^3 * T1^-1, T2 * T1^-1 * T2^-2 * T1 * T2^-1 * T1 * T2^2 * T1^-1, T2^-1 * T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1 ]
Map:: polytopal non-degenerate
	R = (1, 163, 3, 165, 9, 171, 25, 187, 15, 177, 5, 167)(2, 164, 6, 168, 17, 179, 44, 206, 21, 183, 7, 169)(4, 166, 11, 173, 30, 192, 73, 235, 34, 196, 12, 174)(8, 170, 22, 184, 54, 216, 107, 269, 58, 220, 23, 185)(10, 172, 27, 189, 66, 228, 131, 293, 70, 232, 28, 190)(13, 175, 35, 197, 81, 243, 147, 309, 85, 247, 36, 198)(14, 176, 37, 199, 86, 248, 140, 302, 88, 250, 38, 200)(16, 178, 41, 203, 93, 255, 143, 305, 94, 256, 42, 204)(18, 180, 46, 208, 101, 263, 156, 318, 103, 265, 47, 209)(19, 181, 48, 210, 104, 266, 157, 319, 108, 270, 49, 211)(20, 182, 50, 212, 109, 271, 65, 227, 111, 273, 51, 213)(24, 186, 59, 221, 80, 242, 145, 307, 122, 284, 60, 222)(26, 188, 63, 225, 52, 214, 112, 274, 130, 292, 64, 226)(29, 191, 55, 217, 115, 277, 84, 246, 136, 298, 71, 233)(31, 193, 75, 237, 127, 289, 162, 324, 142, 304, 76, 238)(32, 194, 57, 219, 118, 280, 159, 321, 126, 288, 77, 239)(33, 195, 69, 231, 129, 291, 100, 262, 144, 306, 78, 240)(39, 201, 89, 251, 151, 313, 139, 301, 74, 236, 90, 252)(40, 202, 91, 253, 152, 314, 95, 257, 43, 205, 92, 254)(45, 207, 98, 260, 79, 241, 120, 282, 155, 317, 99, 261)(53, 215, 113, 275, 158, 320, 137, 299, 72, 234, 114, 276)(56, 218, 116, 278, 153, 315, 96, 258, 83, 245, 117, 279)(61, 223, 123, 285, 135, 297, 105, 267, 149, 311, 124, 286)(62, 224, 125, 287, 119, 281, 110, 272, 146, 308, 102, 264)(67, 229, 132, 294, 161, 323, 150, 312, 87, 249, 133, 295)(68, 230, 121, 283, 141, 303, 97, 259, 154, 316, 134, 296)(82, 244, 128, 290, 160, 322, 138, 300, 106, 268, 148, 310)
	L = (1, 164)(2, 166)(3, 170)(4, 163)(5, 175)(6, 178)(7, 181)(8, 172)(9, 186)(10, 165)(11, 191)(12, 194)(13, 176)(14, 167)(15, 201)(16, 180)(17, 205)(18, 168)(19, 182)(20, 169)(21, 214)(22, 203)(23, 218)(24, 188)(25, 223)(26, 171)(27, 227)(28, 230)(29, 193)(30, 234)(31, 173)(32, 195)(33, 174)(34, 241)(35, 204)(36, 245)(37, 209)(38, 213)(39, 202)(40, 177)(41, 217)(42, 244)(43, 207)(44, 258)(45, 179)(46, 262)(47, 249)(48, 233)(49, 268)(50, 238)(51, 240)(52, 215)(53, 183)(54, 250)(55, 184)(56, 219)(57, 185)(58, 281)(59, 255)(60, 266)(61, 224)(62, 187)(63, 288)(64, 290)(65, 229)(66, 260)(67, 189)(68, 231)(69, 190)(70, 275)(71, 267)(72, 236)(73, 300)(74, 192)(75, 302)(76, 272)(77, 285)(78, 200)(79, 242)(80, 196)(81, 308)(82, 197)(83, 246)(84, 198)(85, 228)(86, 261)(87, 199)(88, 276)(89, 256)(90, 270)(91, 310)(92, 277)(93, 273)(94, 296)(95, 280)(96, 259)(97, 206)(98, 247)(99, 311)(100, 264)(101, 252)(102, 208)(103, 307)(104, 283)(105, 210)(106, 269)(107, 211)(108, 263)(109, 301)(110, 212)(111, 221)(112, 298)(113, 297)(114, 216)(115, 306)(116, 271)(117, 265)(118, 295)(119, 282)(120, 220)(121, 222)(122, 314)(123, 305)(124, 315)(125, 316)(126, 289)(127, 225)(128, 291)(129, 226)(130, 317)(131, 318)(132, 235)(133, 257)(134, 251)(135, 232)(136, 312)(137, 243)(138, 294)(139, 278)(140, 303)(141, 237)(142, 253)(143, 239)(144, 254)(145, 279)(146, 299)(147, 319)(148, 304)(149, 248)(150, 274)(151, 292)(152, 320)(153, 322)(154, 323)(155, 313)(156, 324)(157, 321)(158, 284)(159, 309)(160, 286)(161, 287)(162, 293)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2795
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 27 e = 162 f = 81
	degree seq :: [ 12^27 ]

E28.2803 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 6, 6})
Quotient :: loop
Aut^+ = C3 x (((C3 x C3) : C3) : C2) (small group id <162, 34>)
Aut   = (C3 x (((C3 x C3) : C3) : C2)) : C2 (small group id <324, 121>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^6, (T1^-1, T2^-1, T1^-1), (T2^-2 * T1)^3, (T2^2 * T1)^3, T1 * T2 * T1 * T2^2 * T1^-1 * T2^-1 * T1^-1 * T2^-2, (T1^-1 * T2^2 * T1 * T2)^2, (T2^-1 * T1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 163, 3, 165, 9, 171, 25, 187, 15, 177, 5, 167)(2, 164, 6, 168, 17, 179, 44, 206, 21, 183, 7, 169)(4, 166, 11, 173, 30, 192, 72, 234, 34, 196, 12, 174)(8, 170, 22, 184, 55, 217, 117, 279, 58, 220, 23, 185)(10, 172, 27, 189, 66, 228, 112, 274, 69, 231, 28, 190)(13, 175, 35, 197, 81, 243, 134, 296, 84, 246, 36, 198)(14, 176, 37, 199, 85, 247, 104, 266, 88, 250, 38, 200)(16, 178, 41, 203, 94, 256, 82, 244, 96, 258, 42, 204)(18, 180, 46, 208, 103, 265, 143, 305, 105, 267, 47, 209)(19, 181, 48, 210, 106, 268, 54, 216, 109, 271, 49, 211)(20, 182, 50, 212, 110, 272, 140, 302, 113, 275, 51, 213)(24, 186, 59, 221, 80, 242, 144, 306, 124, 286, 60, 222)(26, 188, 63, 225, 52, 214, 114, 276, 130, 292, 64, 226)(29, 191, 70, 232, 135, 297, 107, 269, 120, 282, 57, 219)(31, 193, 74, 236, 128, 290, 87, 249, 132, 294, 68, 230)(32, 194, 75, 237, 141, 303, 93, 255, 127, 289, 76, 238)(33, 195, 77, 239, 129, 291, 67, 229, 131, 293, 78, 240)(39, 201, 89, 251, 149, 311, 139, 301, 73, 235, 90, 252)(40, 202, 91, 253, 150, 312, 97, 259, 43, 205, 92, 254)(45, 207, 100, 262, 79, 241, 122, 284, 152, 314, 101, 263)(53, 215, 115, 277, 156, 318, 137, 299, 71, 233, 116, 278)(56, 218, 118, 280, 83, 245, 146, 308, 157, 319, 119, 281)(61, 223, 108, 270, 133, 295, 160, 322, 147, 309, 95, 257)(62, 224, 125, 287, 121, 283, 158, 320, 145, 307, 126, 288)(65, 227, 99, 261, 86, 248, 148, 310, 159, 321, 123, 285)(98, 260, 142, 304, 153, 315, 162, 324, 154, 316, 136, 298)(102, 264, 138, 300, 111, 273, 155, 317, 161, 323, 151, 313)
	L = (1, 164)(2, 166)(3, 170)(4, 163)(5, 175)(6, 178)(7, 181)(8, 172)(9, 186)(10, 165)(11, 191)(12, 194)(13, 176)(14, 167)(15, 201)(16, 180)(17, 205)(18, 168)(19, 182)(20, 169)(21, 214)(22, 216)(23, 204)(24, 188)(25, 223)(26, 171)(27, 227)(28, 209)(29, 193)(30, 233)(31, 173)(32, 195)(33, 174)(34, 241)(35, 210)(36, 244)(37, 212)(38, 248)(39, 202)(40, 177)(41, 255)(42, 219)(43, 207)(44, 260)(45, 179)(46, 264)(47, 230)(48, 237)(49, 269)(50, 239)(51, 273)(52, 215)(53, 183)(54, 218)(55, 250)(56, 184)(57, 185)(58, 283)(59, 256)(60, 268)(61, 224)(62, 187)(63, 289)(64, 281)(65, 229)(66, 262)(67, 189)(68, 190)(69, 277)(70, 296)(71, 235)(72, 280)(73, 192)(74, 288)(75, 197)(76, 279)(77, 199)(78, 287)(79, 242)(80, 196)(81, 307)(82, 245)(83, 198)(84, 228)(85, 263)(86, 249)(87, 200)(88, 278)(89, 258)(90, 271)(91, 308)(92, 297)(93, 257)(94, 275)(95, 203)(96, 310)(97, 303)(98, 261)(99, 206)(100, 246)(101, 309)(102, 266)(103, 252)(104, 208)(105, 306)(106, 285)(107, 270)(108, 211)(109, 265)(110, 301)(111, 274)(112, 213)(113, 221)(114, 282)(115, 295)(116, 217)(117, 304)(118, 300)(119, 291)(120, 317)(121, 284)(122, 220)(123, 222)(124, 312)(125, 305)(126, 302)(127, 290)(128, 225)(129, 226)(130, 314)(131, 254)(132, 253)(133, 231)(134, 298)(135, 293)(136, 232)(137, 243)(138, 234)(139, 316)(140, 236)(141, 313)(142, 238)(143, 240)(144, 315)(145, 299)(146, 294)(147, 247)(148, 251)(149, 292)(150, 318)(151, 259)(152, 311)(153, 267)(154, 272)(155, 276)(156, 286)(157, 322)(158, 321)(159, 323)(160, 324)(161, 320)(162, 319)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2798
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 27 e = 162 f = 81
	degree seq :: [ 12^27 ]

E28.2804 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 6, 6})
Quotient :: loop
Aut^+ = C3 x (((C3 x C3) : C3) : C2) (small group id <162, 34>)
Aut   = (C3 x (((C3 x C3) : C3) : C2)) : C2 (small group id <324, 121>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, T1^6, T1^-1 * T2^-1 * T1^-1 * T2 * T1 * T2 * T1 * T2^-1, (T2^-1 * T1^-2)^3, (T2 * T1^-2)^3, T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-3 * T2^-1 * T1^-1, T2 * T1^-2 * T2^-1 * T1 * T2^-1 * T1^2 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 163, 3, 165, 5, 167)(2, 164, 7, 169, 8, 170)(4, 166, 11, 173, 13, 175)(6, 168, 17, 179, 18, 180)(9, 171, 24, 186, 25, 187)(10, 172, 26, 188, 28, 190)(12, 174, 31, 193, 32, 194)(14, 176, 36, 198, 37, 199)(15, 177, 38, 200, 40, 202)(16, 178, 41, 203, 42, 204)(19, 181, 48, 210, 49, 211)(20, 182, 50, 212, 52, 214)(21, 183, 54, 216, 55, 217)(22, 184, 56, 218, 58, 220)(23, 185, 60, 222, 61, 223)(27, 189, 67, 229, 68, 230)(29, 191, 62, 224, 72, 234)(30, 192, 73, 235, 75, 237)(33, 195, 64, 226, 81, 243)(34, 196, 70, 232, 83, 245)(35, 197, 85, 247, 86, 248)(39, 201, 91, 253, 92, 254)(43, 205, 97, 259, 98, 260)(44, 206, 99, 261, 101, 263)(45, 207, 102, 264, 103, 265)(46, 208, 104, 266, 106, 268)(47, 209, 82, 244, 108, 270)(51, 213, 112, 274, 113, 275)(53, 215, 116, 278, 74, 236)(57, 219, 121, 283, 122, 284)(59, 221, 123, 285, 124, 286)(63, 225, 129, 291, 96, 258)(65, 227, 87, 249, 131, 293)(66, 228, 132, 294, 107, 269)(69, 231, 89, 251, 135, 297)(71, 233, 137, 299, 138, 300)(76, 238, 127, 289, 120, 282)(77, 239, 133, 295, 128, 290)(78, 240, 139, 301, 143, 305)(79, 241, 109, 271, 144, 306)(80, 242, 126, 288, 146, 308)(84, 246, 148, 310, 118, 280)(88, 250, 145, 307, 150, 312)(90, 252, 93, 255, 151, 313)(94, 256, 153, 315, 154, 316)(95, 257, 155, 317, 156, 318)(100, 262, 142, 304, 158, 320)(105, 267, 161, 323, 141, 303)(110, 272, 117, 279, 149, 311)(111, 273, 130, 292, 152, 314)(114, 276, 119, 281, 125, 287)(115, 277, 162, 324, 160, 322)(134, 296, 140, 302, 147, 309)(136, 298, 157, 319, 159, 321)
	L = (1, 164)(2, 168)(3, 171)(4, 163)(5, 176)(6, 178)(7, 181)(8, 183)(9, 185)(10, 165)(11, 191)(12, 166)(13, 195)(14, 197)(15, 167)(16, 174)(17, 205)(18, 207)(19, 209)(20, 169)(21, 215)(22, 170)(23, 221)(24, 210)(25, 225)(26, 227)(27, 172)(28, 231)(29, 233)(30, 173)(31, 238)(32, 240)(33, 242)(34, 175)(35, 246)(36, 211)(37, 250)(38, 214)(39, 177)(40, 220)(41, 255)(42, 257)(43, 254)(44, 179)(45, 229)(46, 180)(47, 269)(48, 259)(49, 271)(50, 272)(51, 182)(52, 276)(53, 277)(54, 260)(55, 280)(56, 263)(57, 184)(58, 268)(59, 189)(60, 241)(61, 278)(62, 186)(63, 290)(64, 187)(65, 261)(66, 188)(67, 296)(68, 283)(69, 279)(70, 190)(71, 298)(72, 266)(73, 273)(74, 192)(75, 302)(76, 303)(77, 193)(78, 304)(79, 194)(80, 307)(81, 281)(82, 196)(83, 202)(84, 201)(85, 270)(86, 239)(87, 198)(88, 265)(89, 199)(90, 200)(91, 275)(92, 314)(93, 284)(94, 203)(95, 274)(96, 204)(97, 313)(98, 232)(99, 319)(100, 206)(101, 312)(102, 252)(103, 322)(104, 316)(105, 208)(106, 291)(107, 213)(108, 230)(109, 237)(110, 315)(111, 212)(112, 297)(113, 323)(114, 321)(115, 219)(116, 253)(117, 216)(118, 318)(119, 217)(120, 218)(121, 320)(122, 293)(123, 235)(124, 317)(125, 222)(126, 223)(127, 224)(128, 324)(129, 306)(130, 226)(131, 308)(132, 301)(133, 228)(134, 267)(135, 299)(136, 236)(137, 258)(138, 247)(139, 234)(140, 249)(141, 311)(142, 287)(143, 251)(144, 245)(145, 244)(146, 256)(147, 243)(148, 294)(149, 248)(150, 286)(151, 289)(152, 262)(153, 285)(154, 310)(155, 282)(156, 309)(157, 295)(158, 300)(159, 264)(160, 305)(161, 288)(162, 292)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2799
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 54 e = 162 f = 54
	degree seq :: [ 6^54 ]

E28.2805 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x (((C3 x C3) : C3) : C2) (small group id <162, 34>)
Aut   = (C3 x (((C3 x C3) : C3) : C2)) : C2 (small group id <324, 121>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y3 * Y1, Y1^2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y3 * Y2^-1 * Y3^-1 * Y1^-1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y2^6, Y3 * Y2^-1 * Y3 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y2, (Y1^-1, Y2^-1, Y1^-1), Y2^-2 * Y1 * Y2^-2 * Y3^-1 * Y2^-2 * Y1, Y3 * Y2^-2 * Y1^-1 * Y2^-2 * Y1^-1 * Y2^-2, Y2^2 * Y1 * Y2^2 * Y3^-1 * Y2^2 * Y3^-1, Y2 * Y1 * Y2^2 * Y1 * Y2^2 * Y3^-1 * Y2, Y1 * Y2^-2 * Y1 * Y2^-2 * Y3^-1 * Y2^-2, Y3 * Y2^-1 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^3, Y1 * Y2^-1 * Y1 * Y2^3 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1, Y2 * Y1 * Y2^2 * Y3 * Y2^-1 * Y1^-1 * Y2^-2 * Y1, Y2^2 * Y1 * Y2 * Y3 * Y2^2 * Y3^-1 * Y2 * Y1^-1, Y2^-3 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3, Y2 * Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y2^3 * Y1^-1, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 163, 2, 164, 4, 166)(3, 165, 8, 170, 10, 172)(5, 167, 13, 175, 14, 176)(6, 168, 16, 178, 18, 180)(7, 169, 19, 181, 20, 182)(9, 171, 24, 186, 26, 188)(11, 173, 29, 191, 31, 193)(12, 174, 32, 194, 33, 195)(15, 177, 39, 201, 40, 202)(17, 179, 43, 205, 45, 207)(21, 183, 52, 214, 53, 215)(22, 184, 54, 216, 56, 218)(23, 185, 42, 204, 57, 219)(25, 187, 61, 223, 62, 224)(27, 189, 65, 227, 67, 229)(28, 190, 47, 209, 68, 230)(30, 192, 71, 233, 73, 235)(34, 196, 79, 241, 80, 242)(35, 197, 48, 210, 75, 237)(36, 198, 82, 244, 83, 245)(37, 199, 50, 212, 77, 239)(38, 200, 86, 248, 87, 249)(41, 203, 93, 255, 95, 257)(44, 206, 98, 260, 99, 261)(46, 208, 102, 264, 104, 266)(49, 211, 107, 269, 108, 270)(51, 213, 111, 273, 112, 274)(55, 217, 88, 250, 116, 278)(58, 220, 121, 283, 122, 284)(59, 221, 94, 256, 113, 275)(60, 222, 106, 268, 123, 285)(63, 225, 127, 289, 128, 290)(64, 226, 119, 281, 129, 291)(66, 228, 100, 262, 84, 246)(69, 231, 115, 277, 133, 295)(70, 232, 134, 296, 136, 298)(72, 234, 118, 280, 138, 300)(74, 236, 126, 288, 140, 302)(76, 238, 117, 279, 142, 304)(78, 240, 125, 287, 143, 305)(81, 243, 145, 307, 137, 299)(85, 247, 101, 263, 147, 309)(89, 251, 96, 258, 148, 310)(90, 252, 109, 271, 103, 265)(91, 253, 146, 308, 132, 294)(92, 254, 135, 297, 131, 293)(97, 259, 141, 303, 151, 313)(105, 267, 144, 306, 153, 315)(110, 272, 139, 301, 154, 316)(114, 276, 120, 282, 155, 317)(124, 286, 150, 312, 156, 318)(130, 292, 152, 314, 149, 311)(157, 319, 160, 322, 162, 324)(158, 320, 159, 321, 161, 323)(325, 487, 327, 489, 333, 495, 349, 511, 339, 501, 329, 491)(326, 488, 330, 492, 341, 503, 368, 530, 345, 507, 331, 493)(328, 490, 335, 497, 354, 516, 396, 558, 358, 520, 336, 498)(332, 494, 346, 508, 379, 541, 441, 603, 382, 544, 347, 509)(334, 496, 351, 513, 390, 552, 436, 598, 393, 555, 352, 514)(337, 499, 359, 521, 405, 567, 458, 620, 408, 570, 360, 522)(338, 500, 361, 523, 409, 571, 428, 590, 412, 574, 362, 524)(340, 502, 365, 527, 418, 580, 406, 568, 420, 582, 366, 528)(342, 504, 370, 532, 427, 589, 467, 629, 429, 591, 371, 533)(343, 505, 372, 534, 430, 592, 378, 540, 433, 595, 373, 535)(344, 506, 374, 536, 434, 596, 464, 626, 437, 599, 375, 537)(348, 510, 383, 545, 404, 566, 468, 630, 448, 610, 384, 546)(350, 512, 387, 549, 376, 538, 438, 600, 454, 616, 388, 550)(353, 515, 394, 556, 459, 621, 431, 593, 444, 606, 381, 543)(355, 517, 398, 560, 452, 614, 411, 573, 456, 618, 392, 554)(356, 518, 399, 561, 465, 627, 417, 579, 451, 613, 400, 562)(357, 519, 401, 563, 453, 615, 391, 553, 455, 617, 402, 564)(363, 525, 413, 575, 473, 635, 463, 625, 397, 559, 414, 576)(364, 526, 415, 577, 474, 636, 421, 583, 367, 529, 416, 578)(369, 531, 424, 586, 403, 565, 446, 608, 476, 638, 425, 587)(377, 539, 439, 601, 480, 642, 461, 623, 395, 557, 440, 602)(380, 542, 442, 604, 407, 569, 470, 632, 481, 643, 443, 605)(385, 547, 432, 594, 457, 619, 484, 646, 471, 633, 419, 581)(386, 548, 449, 611, 445, 607, 482, 644, 469, 631, 450, 612)(389, 551, 423, 585, 410, 572, 472, 634, 483, 645, 447, 609)(422, 584, 466, 628, 477, 639, 486, 648, 478, 640, 460, 622)(426, 588, 462, 624, 435, 597, 479, 641, 485, 647, 475, 637)
	L = (1, 328)(2, 325)(3, 334)(4, 326)(5, 338)(6, 342)(7, 344)(8, 327)(9, 350)(10, 332)(11, 355)(12, 357)(13, 329)(14, 337)(15, 364)(16, 330)(17, 369)(18, 340)(19, 331)(20, 343)(21, 377)(22, 380)(23, 381)(24, 333)(25, 386)(26, 348)(27, 391)(28, 392)(29, 335)(30, 397)(31, 353)(32, 336)(33, 356)(34, 404)(35, 399)(36, 407)(37, 401)(38, 411)(39, 339)(40, 363)(41, 419)(42, 347)(43, 341)(44, 423)(45, 367)(46, 428)(47, 352)(48, 359)(49, 432)(50, 361)(51, 436)(52, 345)(53, 376)(54, 346)(55, 440)(56, 378)(57, 366)(58, 446)(59, 437)(60, 447)(61, 349)(62, 385)(63, 452)(64, 453)(65, 351)(66, 408)(67, 389)(68, 371)(69, 457)(70, 460)(71, 354)(72, 462)(73, 395)(74, 464)(75, 372)(76, 466)(77, 374)(78, 467)(79, 358)(80, 403)(81, 461)(82, 360)(83, 406)(84, 424)(85, 471)(86, 362)(87, 410)(88, 379)(89, 472)(90, 427)(91, 456)(92, 455)(93, 365)(94, 383)(95, 417)(96, 413)(97, 475)(98, 368)(99, 422)(100, 390)(101, 409)(102, 370)(103, 433)(104, 426)(105, 477)(106, 384)(107, 373)(108, 431)(109, 414)(110, 478)(111, 375)(112, 435)(113, 418)(114, 479)(115, 393)(116, 412)(117, 400)(118, 396)(119, 388)(120, 438)(121, 382)(122, 445)(123, 430)(124, 480)(125, 402)(126, 398)(127, 387)(128, 451)(129, 443)(130, 473)(131, 459)(132, 470)(133, 439)(134, 394)(135, 416)(136, 458)(137, 469)(138, 442)(139, 434)(140, 450)(141, 421)(142, 441)(143, 449)(144, 429)(145, 405)(146, 415)(147, 425)(148, 420)(149, 476)(150, 448)(151, 465)(152, 454)(153, 468)(154, 463)(155, 444)(156, 474)(157, 486)(158, 485)(159, 482)(160, 481)(161, 483)(162, 484)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2814
Graph:: bipartite
	v = 81 e = 324 f = 189
	degree seq :: [ 6^54, 12^27 ]

E28.2806 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x (((C3 x C3) : C3) : C2) (small group id <162, 34>)
Aut   = (C3 x (((C3 x C3) : C3) : C2)) : C2 (small group id <324, 121>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y1 * Y3, Y1^3, Y1 * Y3^-2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^6, Y2^-1 * Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2 * Y3^-1 * Y2, Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y1, Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y1^-1, Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y1^-1, Y1 * Y2^2 * Y1 * Y2^2 * Y3^-1 * Y2^2, Y1 * Y2^-2 * Y1 * Y2^-2 * Y3^-1 * Y2^-2, Y2^-2 * Y3 * Y2^-1 * Y1 * Y2^-2 * Y1^-1 * Y2^-1 * Y3^-1, Y2 * Y1 * Y2^3 * Y1 * Y2 * Y3 * Y2 * Y1^-1, Y3 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^3, Y2 * Y3 * Y2^-2 * Y1 * Y2^-1 * Y3^-1 * Y2^2 * Y1^-1, Y2 * Y3 * Y2^2 * Y1 * Y2^-1 * Y3^-1 * Y2^-2 * Y1^-1, (Y2^-1 * Y1^-1 * Y2^-1 * Y3)^3, Y2 * Y1 * Y2^-2 * Y3 * Y2^3 * Y3^-1 * Y2^-2 * Y1^-1 ]
Map::
	R = (1, 163, 2, 164, 4, 166)(3, 165, 8, 170, 10, 172)(5, 167, 13, 175, 14, 176)(6, 168, 16, 178, 18, 180)(7, 169, 19, 181, 20, 182)(9, 171, 24, 186, 26, 188)(11, 173, 29, 191, 31, 193)(12, 174, 32, 194, 33, 195)(15, 177, 39, 201, 40, 202)(17, 179, 43, 205, 45, 207)(21, 183, 52, 214, 53, 215)(22, 184, 41, 203, 55, 217)(23, 185, 56, 218, 57, 219)(25, 187, 61, 223, 62, 224)(27, 189, 65, 227, 67, 229)(28, 190, 68, 230, 69, 231)(30, 192, 72, 234, 74, 236)(34, 196, 79, 241, 80, 242)(35, 197, 42, 204, 82, 244)(36, 198, 83, 245, 84, 246)(37, 199, 47, 209, 87, 249)(38, 200, 51, 213, 78, 240)(44, 206, 96, 258, 97, 259)(46, 208, 100, 262, 102, 264)(48, 210, 71, 233, 105, 267)(49, 211, 106, 268, 107, 269)(50, 212, 76, 238, 110, 272)(54, 216, 88, 250, 114, 276)(58, 220, 119, 281, 120, 282)(59, 221, 93, 255, 111, 273)(60, 222, 104, 266, 121, 283)(63, 225, 126, 288, 127, 289)(64, 226, 128, 290, 129, 291)(66, 228, 98, 260, 85, 247)(70, 232, 113, 275, 135, 297)(73, 235, 138, 300, 132, 294)(75, 237, 140, 302, 141, 303)(77, 239, 123, 285, 143, 305)(81, 243, 146, 308, 137, 299)(86, 248, 99, 261, 149, 311)(89, 251, 94, 256, 134, 296)(90, 252, 108, 270, 101, 263)(91, 253, 148, 310, 142, 304)(92, 254, 115, 277, 144, 306)(95, 257, 118, 280, 133, 295)(103, 265, 145, 307, 117, 279)(109, 271, 139, 301, 116, 278)(112, 274, 136, 298, 150, 312)(122, 284, 152, 314, 158, 320)(124, 286, 153, 315, 160, 322)(125, 287, 154, 316, 161, 323)(130, 292, 155, 317, 151, 313)(131, 293, 156, 318, 162, 324)(147, 309, 157, 319, 159, 321)(325, 487, 327, 489, 333, 495, 349, 511, 339, 501, 329, 491)(326, 488, 330, 492, 341, 503, 368, 530, 345, 507, 331, 493)(328, 490, 335, 497, 354, 516, 397, 559, 358, 520, 336, 498)(332, 494, 346, 508, 378, 540, 431, 593, 382, 544, 347, 509)(334, 496, 351, 513, 390, 552, 455, 617, 394, 556, 352, 514)(337, 499, 359, 521, 405, 567, 471, 633, 409, 571, 360, 522)(338, 500, 361, 523, 410, 572, 464, 626, 412, 574, 362, 524)(340, 502, 365, 527, 417, 579, 467, 629, 418, 580, 366, 528)(342, 504, 370, 532, 425, 587, 480, 642, 427, 589, 371, 533)(343, 505, 372, 534, 428, 590, 481, 643, 432, 594, 373, 535)(344, 506, 374, 536, 433, 595, 389, 551, 435, 597, 375, 537)(348, 510, 383, 545, 404, 566, 469, 631, 446, 608, 384, 546)(350, 512, 387, 549, 376, 538, 436, 598, 454, 616, 388, 550)(353, 515, 379, 541, 439, 601, 408, 570, 460, 622, 395, 557)(355, 517, 399, 561, 451, 613, 486, 648, 466, 628, 400, 562)(356, 518, 381, 543, 442, 604, 483, 645, 450, 612, 401, 563)(357, 519, 393, 555, 453, 615, 424, 586, 468, 630, 402, 564)(363, 525, 413, 575, 475, 637, 463, 625, 398, 560, 414, 576)(364, 526, 415, 577, 476, 638, 419, 581, 367, 529, 416, 578)(369, 531, 422, 584, 403, 565, 444, 606, 479, 641, 423, 585)(377, 539, 437, 599, 482, 644, 461, 623, 396, 558, 438, 600)(380, 542, 440, 602, 477, 639, 420, 582, 407, 569, 441, 603)(385, 547, 447, 609, 459, 621, 429, 591, 473, 635, 448, 610)(386, 548, 449, 611, 443, 605, 434, 596, 470, 632, 426, 588)(391, 553, 456, 618, 485, 647, 474, 636, 411, 573, 457, 619)(392, 554, 445, 607, 465, 627, 421, 583, 478, 640, 458, 620)(406, 568, 452, 614, 484, 646, 462, 624, 430, 592, 472, 634)
	L = (1, 328)(2, 325)(3, 334)(4, 326)(5, 338)(6, 342)(7, 344)(8, 327)(9, 350)(10, 332)(11, 355)(12, 357)(13, 329)(14, 337)(15, 364)(16, 330)(17, 369)(18, 340)(19, 331)(20, 343)(21, 377)(22, 379)(23, 381)(24, 333)(25, 386)(26, 348)(27, 391)(28, 393)(29, 335)(30, 398)(31, 353)(32, 336)(33, 356)(34, 404)(35, 406)(36, 408)(37, 411)(38, 402)(39, 339)(40, 363)(41, 346)(42, 359)(43, 341)(44, 421)(45, 367)(46, 426)(47, 361)(48, 429)(49, 431)(50, 434)(51, 362)(52, 345)(53, 376)(54, 438)(55, 365)(56, 347)(57, 380)(58, 444)(59, 435)(60, 445)(61, 349)(62, 385)(63, 451)(64, 453)(65, 351)(66, 409)(67, 389)(68, 352)(69, 392)(70, 459)(71, 372)(72, 354)(73, 456)(74, 396)(75, 465)(76, 374)(77, 467)(78, 375)(79, 358)(80, 403)(81, 461)(82, 366)(83, 360)(84, 407)(85, 422)(86, 473)(87, 371)(88, 378)(89, 458)(90, 425)(91, 466)(92, 468)(93, 383)(94, 413)(95, 457)(96, 368)(97, 420)(98, 390)(99, 410)(100, 370)(101, 432)(102, 424)(103, 441)(104, 384)(105, 395)(106, 373)(107, 430)(108, 414)(109, 440)(110, 400)(111, 417)(112, 474)(113, 394)(114, 412)(115, 416)(116, 463)(117, 469)(118, 419)(119, 382)(120, 443)(121, 428)(122, 482)(123, 401)(124, 484)(125, 485)(126, 387)(127, 450)(128, 388)(129, 452)(130, 475)(131, 486)(132, 462)(133, 442)(134, 418)(135, 437)(136, 436)(137, 470)(138, 397)(139, 433)(140, 399)(141, 464)(142, 472)(143, 447)(144, 439)(145, 427)(146, 405)(147, 483)(148, 415)(149, 423)(150, 460)(151, 479)(152, 446)(153, 448)(154, 449)(155, 454)(156, 455)(157, 471)(158, 476)(159, 481)(160, 477)(161, 478)(162, 480)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2811
Graph:: bipartite
	v = 81 e = 324 f = 189
	degree seq :: [ 6^54, 12^27 ]

E28.2807 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x (((C3 x C3) : C3) : C2) (small group id <162, 34>)
Aut   = (C3 x (((C3 x C3) : C3) : C2)) : C2 (small group id <324, 121>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y1^2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^6, Y1 * Y2^-1 * Y3 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y2^-1, Y2^-1 * Y3^-1 * Y2 * Y3 * Y2 * Y1^-1 * Y2^-1 * Y3^-1, Y1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1, Y1 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y2^2 * Y1 * Y2^2 * Y1 * Y2^2 * Y3^-1, Y1^-1 * Y2^-2 * Y3 * Y2^-2 * Y1^-1 * Y2^-2, Y1 * Y2^2 * Y1 * Y2^2 * Y3^-1 * Y2^2, Y3 * Y2^2 * Y3 * Y2^2 * Y1^-1 * Y2^2, Y2^-3 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y1^-1, Y2^-1 * Y3 * Y2^-1 * Y1 * Y2^-2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y2^-1 * Y3 * Y2^2 * Y1 * Y2 * Y3^-1 * Y2^-2 * Y1^-1, Y2^2 * Y1 * Y2 * Y1 * Y2^-2 * Y1^-1 * Y2^-1 * Y1^-1, Y3 * Y2^-2 * Y1 * Y2 * Y3^-1 * Y2^2 * Y1^-1 * Y2^-1, Y2^-3 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1 ]
Map::
	R = (1, 163, 2, 164, 4, 166)(3, 165, 8, 170, 10, 172)(5, 167, 13, 175, 14, 176)(6, 168, 16, 178, 18, 180)(7, 169, 19, 181, 20, 182)(9, 171, 24, 186, 26, 188)(11, 173, 29, 191, 31, 193)(12, 174, 32, 194, 33, 195)(15, 177, 39, 201, 40, 202)(17, 179, 43, 205, 45, 207)(21, 183, 52, 214, 53, 215)(22, 184, 54, 216, 56, 218)(23, 185, 48, 210, 57, 219)(25, 187, 61, 223, 62, 224)(27, 189, 46, 208, 66, 228)(28, 190, 50, 212, 67, 229)(30, 192, 71, 233, 73, 235)(34, 196, 79, 241, 80, 242)(35, 197, 81, 243, 70, 232)(36, 198, 49, 211, 76, 238)(37, 199, 84, 246, 74, 236)(38, 200, 86, 248, 87, 249)(41, 203, 93, 255, 95, 257)(42, 204, 75, 237, 96, 258)(44, 206, 99, 261, 100, 262)(47, 209, 77, 239, 104, 266)(51, 213, 109, 271, 110, 272)(55, 217, 88, 250, 114, 276)(58, 220, 121, 283, 122, 284)(59, 221, 94, 256, 111, 273)(60, 222, 106, 268, 123, 285)(63, 225, 117, 279, 128, 290)(64, 226, 119, 281, 129, 291)(65, 227, 101, 263, 83, 245)(68, 230, 113, 275, 134, 296)(69, 231, 126, 288, 136, 298)(72, 234, 139, 301, 140, 302)(78, 240, 131, 293, 143, 305)(82, 244, 147, 309, 138, 300)(85, 247, 102, 264, 150, 312)(89, 251, 97, 259, 148, 310)(90, 252, 107, 269, 103, 265)(91, 253, 120, 282, 142, 304)(92, 254, 135, 297, 144, 306)(98, 260, 118, 280, 132, 294)(105, 267, 145, 307, 146, 308)(108, 270, 141, 303, 115, 277)(112, 274, 137, 299, 133, 295)(116, 278, 153, 315, 159, 321)(124, 286, 152, 314, 158, 320)(125, 287, 154, 316, 160, 322)(127, 289, 155, 317, 161, 323)(130, 292, 156, 318, 151, 313)(149, 311, 157, 319, 162, 324)(325, 487, 327, 489, 333, 495, 349, 511, 339, 501, 329, 491)(326, 488, 330, 492, 341, 503, 368, 530, 345, 507, 331, 493)(328, 490, 335, 497, 354, 516, 396, 558, 358, 520, 336, 498)(332, 494, 346, 508, 379, 541, 440, 602, 382, 544, 347, 509)(334, 496, 351, 513, 389, 551, 455, 617, 392, 554, 352, 514)(337, 499, 359, 521, 406, 568, 419, 581, 407, 569, 360, 522)(338, 500, 361, 523, 409, 571, 473, 635, 412, 574, 362, 524)(340, 502, 365, 527, 418, 580, 477, 639, 421, 583, 366, 528)(342, 504, 370, 532, 427, 589, 410, 572, 429, 591, 371, 533)(343, 505, 372, 534, 430, 592, 460, 622, 431, 593, 373, 535)(344, 506, 374, 536, 432, 594, 481, 643, 435, 597, 375, 537)(348, 510, 383, 545, 404, 566, 469, 631, 448, 610, 384, 546)(350, 512, 387, 549, 376, 538, 436, 598, 454, 616, 388, 550)(353, 515, 393, 555, 459, 621, 483, 645, 461, 623, 394, 556)(355, 517, 390, 552, 452, 614, 433, 595, 466, 628, 398, 560)(356, 518, 399, 561, 442, 604, 380, 542, 441, 603, 400, 562)(357, 519, 401, 563, 453, 615, 486, 648, 468, 630, 402, 564)(363, 525, 413, 575, 475, 637, 465, 627, 397, 559, 414, 576)(364, 526, 415, 577, 476, 638, 422, 584, 367, 529, 416, 578)(369, 531, 425, 587, 403, 565, 446, 608, 480, 642, 426, 588)(377, 539, 437, 599, 482, 644, 462, 624, 395, 557, 438, 600)(378, 540, 423, 585, 478, 640, 470, 632, 405, 567, 439, 601)(381, 543, 443, 605, 417, 579, 463, 625, 484, 646, 444, 606)(385, 547, 449, 611, 458, 620, 420, 582, 474, 636, 450, 612)(386, 548, 434, 596, 445, 607, 428, 590, 471, 633, 451, 613)(391, 553, 456, 618, 485, 647, 464, 626, 411, 573, 457, 619)(408, 570, 447, 609, 479, 641, 424, 586, 467, 629, 472, 634)
	L = (1, 328)(2, 325)(3, 334)(4, 326)(5, 338)(6, 342)(7, 344)(8, 327)(9, 350)(10, 332)(11, 355)(12, 357)(13, 329)(14, 337)(15, 364)(16, 330)(17, 369)(18, 340)(19, 331)(20, 343)(21, 377)(22, 380)(23, 381)(24, 333)(25, 386)(26, 348)(27, 390)(28, 391)(29, 335)(30, 397)(31, 353)(32, 336)(33, 356)(34, 404)(35, 394)(36, 400)(37, 398)(38, 411)(39, 339)(40, 363)(41, 419)(42, 420)(43, 341)(44, 424)(45, 367)(46, 351)(47, 428)(48, 347)(49, 360)(50, 352)(51, 434)(52, 345)(53, 376)(54, 346)(55, 438)(56, 378)(57, 372)(58, 446)(59, 435)(60, 447)(61, 349)(62, 385)(63, 452)(64, 453)(65, 407)(66, 370)(67, 374)(68, 458)(69, 460)(70, 405)(71, 354)(72, 464)(73, 395)(74, 408)(75, 366)(76, 373)(77, 371)(78, 467)(79, 358)(80, 403)(81, 359)(82, 462)(83, 425)(84, 361)(85, 474)(86, 362)(87, 410)(88, 379)(89, 472)(90, 427)(91, 466)(92, 468)(93, 365)(94, 383)(95, 417)(96, 399)(97, 413)(98, 456)(99, 368)(100, 423)(101, 389)(102, 409)(103, 431)(104, 401)(105, 470)(106, 384)(107, 414)(108, 439)(109, 375)(110, 433)(111, 418)(112, 457)(113, 392)(114, 412)(115, 465)(116, 483)(117, 387)(118, 422)(119, 388)(120, 415)(121, 382)(122, 445)(123, 430)(124, 482)(125, 484)(126, 393)(127, 485)(128, 441)(129, 443)(130, 475)(131, 402)(132, 442)(133, 461)(134, 437)(135, 416)(136, 450)(137, 436)(138, 471)(139, 396)(140, 463)(141, 432)(142, 444)(143, 455)(144, 459)(145, 429)(146, 469)(147, 406)(148, 421)(149, 486)(150, 426)(151, 480)(152, 448)(153, 440)(154, 449)(155, 451)(156, 454)(157, 473)(158, 476)(159, 477)(160, 478)(161, 479)(162, 481)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2812
Graph:: bipartite
	v = 81 e = 324 f = 189
	degree seq :: [ 6^54, 12^27 ]

E28.2808 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x (((C3 x C3) : C3) : C2) (small group id <162, 34>)
Aut   = (C3 x (((C3 x C3) : C3) : C2)) : C2 (small group id <324, 121>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * R * Y2^-1)^2, Y2^-1 * Y3 * Y2^2 * Y3^-1 * Y2^-1, Y2^6, Y2^2 * Y1 * Y2^-2 * Y1^-1, Y2 * Y1 * Y2^-1 * Y3 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1, Y2^-1 * Y1 * Y2 * Y3 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y3 * Y2 * Y1 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 163, 2, 164, 4, 166)(3, 165, 8, 170, 10, 172)(5, 167, 13, 175, 14, 176)(6, 168, 16, 178, 18, 180)(7, 169, 19, 181, 20, 182)(9, 171, 17, 179, 25, 187)(11, 173, 28, 190, 29, 191)(12, 174, 30, 192, 31, 193)(15, 177, 21, 183, 32, 194)(22, 184, 42, 204, 44, 206)(23, 185, 45, 207, 46, 208)(24, 186, 43, 205, 47, 209)(26, 188, 49, 211, 50, 212)(27, 189, 51, 213, 52, 214)(33, 195, 59, 221, 60, 222)(34, 196, 61, 223, 62, 224)(35, 197, 63, 225, 65, 227)(36, 198, 66, 228, 67, 229)(37, 199, 64, 226, 68, 230)(38, 200, 69, 231, 70, 232)(39, 201, 71, 233, 72, 234)(40, 202, 73, 235, 74, 236)(41, 203, 75, 237, 76, 238)(48, 210, 83, 245, 84, 246)(53, 215, 91, 253, 92, 254)(54, 216, 93, 255, 94, 256)(55, 217, 95, 257, 96, 258)(56, 218, 97, 259, 98, 260)(57, 219, 99, 261, 100, 262)(58, 220, 101, 263, 102, 264)(77, 239, 115, 277, 116, 278)(78, 240, 117, 279, 118, 280)(79, 241, 109, 271, 119, 281)(80, 242, 110, 272, 120, 282)(81, 243, 121, 283, 122, 284)(82, 244, 113, 275, 123, 285)(85, 247, 124, 286, 125, 287)(86, 248, 126, 288, 127, 289)(87, 249, 128, 290, 103, 265)(88, 250, 129, 291, 104, 266)(89, 251, 130, 292, 131, 293)(90, 252, 132, 294, 107, 269)(105, 267, 136, 298, 139, 301)(106, 268, 137, 299, 140, 302)(108, 270, 138, 300, 141, 303)(111, 273, 142, 304, 133, 295)(112, 274, 143, 305, 134, 296)(114, 276, 144, 306, 135, 297)(145, 307, 154, 316, 160, 322)(146, 308, 155, 317, 161, 323)(147, 309, 156, 318, 162, 324)(148, 310, 157, 319, 151, 313)(149, 311, 158, 320, 152, 314)(150, 312, 159, 321, 153, 315)(325, 487, 327, 489, 333, 495, 348, 510, 339, 501, 329, 491)(326, 488, 330, 492, 341, 503, 361, 523, 345, 507, 331, 493)(328, 490, 335, 497, 349, 511, 372, 534, 356, 518, 336, 498)(332, 494, 346, 508, 367, 529, 357, 519, 337, 499, 347, 509)(334, 496, 350, 512, 371, 533, 358, 520, 338, 500, 351, 513)(340, 502, 359, 521, 388, 550, 364, 526, 343, 505, 360, 522)(342, 504, 362, 524, 392, 554, 365, 527, 344, 506, 363, 525)(352, 514, 377, 539, 407, 569, 381, 543, 354, 516, 378, 540)(353, 515, 379, 541, 408, 570, 382, 544, 355, 517, 380, 542)(366, 528, 401, 563, 383, 545, 405, 567, 369, 531, 402, 564)(368, 530, 403, 565, 384, 546, 406, 568, 370, 532, 404, 566)(373, 535, 409, 571, 385, 547, 413, 575, 375, 537, 410, 572)(374, 536, 411, 573, 386, 548, 414, 576, 376, 538, 412, 574)(387, 549, 427, 589, 397, 559, 431, 593, 390, 552, 428, 590)(389, 551, 429, 591, 398, 560, 432, 594, 391, 553, 430, 592)(393, 555, 433, 595, 399, 561, 437, 599, 395, 557, 434, 596)(394, 556, 435, 597, 400, 562, 438, 600, 396, 558, 436, 598)(415, 577, 457, 619, 423, 585, 459, 621, 417, 579, 458, 620)(416, 578, 449, 611, 424, 586, 455, 617, 418, 580, 451, 613)(419, 581, 460, 622, 425, 587, 462, 624, 421, 583, 461, 623)(420, 582, 439, 601, 426, 588, 445, 607, 422, 584, 441, 603)(440, 602, 469, 631, 446, 608, 471, 633, 442, 604, 470, 632)(443, 605, 472, 634, 447, 609, 474, 636, 444, 606, 473, 635)(448, 610, 475, 637, 454, 616, 477, 639, 450, 612, 476, 638)(452, 614, 478, 640, 456, 618, 480, 642, 453, 615, 479, 641)(463, 625, 481, 643, 465, 627, 483, 645, 464, 626, 482, 644)(466, 628, 484, 646, 468, 630, 486, 648, 467, 629, 485, 647)
	L = (1, 328)(2, 325)(3, 334)(4, 326)(5, 338)(6, 342)(7, 344)(8, 327)(9, 349)(10, 332)(11, 353)(12, 355)(13, 329)(14, 337)(15, 356)(16, 330)(17, 333)(18, 340)(19, 331)(20, 343)(21, 339)(22, 368)(23, 370)(24, 371)(25, 341)(26, 374)(27, 376)(28, 335)(29, 352)(30, 336)(31, 354)(32, 345)(33, 384)(34, 386)(35, 389)(36, 391)(37, 392)(38, 394)(39, 396)(40, 398)(41, 400)(42, 346)(43, 348)(44, 366)(45, 347)(46, 369)(47, 367)(48, 408)(49, 350)(50, 373)(51, 351)(52, 375)(53, 416)(54, 418)(55, 420)(56, 422)(57, 424)(58, 426)(59, 357)(60, 383)(61, 358)(62, 385)(63, 359)(64, 361)(65, 387)(66, 360)(67, 390)(68, 388)(69, 362)(70, 393)(71, 363)(72, 395)(73, 364)(74, 397)(75, 365)(76, 399)(77, 440)(78, 442)(79, 443)(80, 444)(81, 446)(82, 447)(83, 372)(84, 407)(85, 449)(86, 451)(87, 427)(88, 428)(89, 455)(90, 431)(91, 377)(92, 415)(93, 378)(94, 417)(95, 379)(96, 419)(97, 380)(98, 421)(99, 381)(100, 423)(101, 382)(102, 425)(103, 452)(104, 453)(105, 463)(106, 464)(107, 456)(108, 465)(109, 403)(110, 404)(111, 457)(112, 458)(113, 406)(114, 459)(115, 401)(116, 439)(117, 402)(118, 441)(119, 433)(120, 434)(121, 405)(122, 445)(123, 437)(124, 409)(125, 448)(126, 410)(127, 450)(128, 411)(129, 412)(130, 413)(131, 454)(132, 414)(133, 466)(134, 467)(135, 468)(136, 429)(137, 430)(138, 432)(139, 460)(140, 461)(141, 462)(142, 435)(143, 436)(144, 438)(145, 484)(146, 485)(147, 486)(148, 475)(149, 476)(150, 477)(151, 481)(152, 482)(153, 483)(154, 469)(155, 470)(156, 471)(157, 472)(158, 473)(159, 474)(160, 478)(161, 479)(162, 480)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2813
Graph:: bipartite
	v = 81 e = 324 f = 189
	degree seq :: [ 6^54, 12^27 ]

E28.2809 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x (((C3 x C3) : C3) : C2) (small group id <162, 34>)
Aut   = (C3 x (((C3 x C3) : C3) : C2)) : C2 (small group id <324, 121>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2 * Y1)^3, Y1 * Y2^-1 * Y1^-2 * Y2 * Y1, (Y2 * Y1^-1)^3, Y1^6, (Y3^-1 * Y1^-1)^3, Y2^6, Y2 * Y1 * Y2^-2 * Y1 * Y2^-3 * Y1^-1 * Y2^-2 * Y1^-1, Y2^2 * Y1^-1 * Y2^2 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y1^-1 * Y2^-2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-3 * Y1^-1 ]
Map::
	R = (1, 163, 2, 164, 6, 168, 18, 180, 13, 175, 4, 166)(3, 165, 9, 171, 19, 181, 44, 206, 32, 194, 11, 173)(5, 167, 15, 177, 20, 182, 46, 208, 36, 198, 16, 178)(7, 169, 21, 183, 42, 204, 35, 197, 12, 174, 23, 185)(8, 170, 24, 186, 43, 205, 27, 189, 14, 176, 25, 187)(10, 172, 29, 191, 45, 207, 83, 245, 65, 227, 31, 193)(17, 179, 40, 202, 47, 209, 86, 248, 71, 233, 41, 203)(22, 184, 49, 211, 80, 242, 69, 231, 34, 196, 51, 213)(26, 188, 55, 217, 81, 243, 72, 234, 37, 199, 56, 218)(28, 190, 58, 220, 82, 244, 61, 223, 33, 195, 59, 221)(30, 192, 63, 225, 84, 246, 134, 296, 114, 276, 64, 226)(38, 200, 73, 235, 85, 247, 77, 239, 39, 201, 75, 237)(48, 210, 87, 249, 70, 232, 90, 252, 52, 214, 88, 250)(50, 212, 92, 254, 131, 293, 118, 280, 68, 230, 93, 255)(53, 215, 96, 258, 57, 219, 100, 262, 54, 216, 98, 260)(60, 222, 106, 268, 132, 294, 117, 279, 67, 229, 107, 269)(62, 224, 109, 271, 133, 295, 112, 274, 66, 228, 110, 272)(74, 236, 123, 285, 135, 297, 126, 288, 76, 238, 124, 286)(78, 240, 115, 277, 136, 298, 113, 275, 79, 241, 129, 291)(89, 251, 139, 301, 120, 282, 149, 311, 95, 257, 140, 302)(91, 253, 142, 304, 119, 281, 145, 307, 94, 256, 143, 305)(97, 259, 151, 313, 103, 265, 154, 316, 99, 261, 152, 314)(101, 263, 147, 309, 121, 283, 146, 308, 102, 264, 157, 319)(104, 266, 137, 299, 108, 270, 141, 303, 105, 267, 138, 300)(111, 273, 156, 318, 161, 323, 159, 321, 116, 278, 158, 320)(122, 284, 150, 312, 127, 289, 155, 317, 125, 287, 153, 315)(128, 290, 144, 306, 162, 324, 160, 322, 130, 292, 148, 310)(325, 487, 327, 489, 334, 496, 354, 516, 341, 503, 329, 491)(326, 488, 331, 493, 346, 508, 374, 536, 350, 512, 332, 494)(328, 490, 336, 498, 358, 520, 392, 554, 361, 523, 338, 500)(330, 492, 343, 505, 369, 531, 408, 570, 371, 533, 344, 506)(333, 495, 351, 513, 381, 543, 427, 589, 384, 546, 352, 514)(335, 497, 348, 510, 377, 539, 421, 583, 391, 553, 357, 519)(337, 499, 356, 518, 389, 551, 438, 600, 395, 557, 360, 522)(339, 501, 362, 524, 398, 560, 444, 606, 394, 556, 359, 521)(340, 502, 363, 525, 400, 562, 413, 575, 372, 534, 345, 507)(342, 504, 366, 528, 404, 566, 455, 617, 405, 567, 367, 529)(347, 509, 370, 532, 409, 571, 459, 621, 419, 581, 376, 538)(349, 511, 378, 540, 423, 585, 456, 618, 406, 568, 368, 530)(353, 515, 385, 547, 432, 594, 464, 626, 435, 597, 386, 548)(355, 517, 382, 544, 428, 590, 473, 635, 440, 602, 390, 552)(364, 526, 402, 564, 452, 614, 476, 638, 451, 613, 401, 563)(365, 527, 403, 565, 454, 616, 478, 640, 446, 608, 397, 559)(373, 535, 414, 576, 465, 627, 430, 592, 468, 630, 415, 577)(375, 537, 411, 573, 461, 623, 431, 593, 472, 634, 418, 580)(379, 541, 425, 587, 480, 642, 447, 609, 479, 641, 424, 586)(380, 542, 426, 588, 482, 644, 448, 610, 474, 636, 420, 582)(383, 545, 429, 591, 463, 625, 485, 647, 457, 619, 407, 569)(387, 549, 436, 598, 481, 643, 442, 604, 467, 629, 437, 599)(388, 550, 433, 595, 470, 632, 416, 578, 469, 631, 439, 601)(393, 555, 412, 574, 462, 624, 441, 603, 484, 646, 443, 605)(396, 558, 445, 607, 483, 645, 450, 612, 477, 639, 422, 584)(399, 561, 410, 572, 460, 622, 486, 648, 475, 637, 449, 611)(417, 579, 466, 628, 453, 615, 458, 620, 434, 596, 471, 633)
	L = (1, 327)(2, 331)(3, 334)(4, 336)(5, 325)(6, 343)(7, 346)(8, 326)(9, 351)(10, 354)(11, 348)(12, 358)(13, 356)(14, 328)(15, 362)(16, 363)(17, 329)(18, 366)(19, 369)(20, 330)(21, 340)(22, 374)(23, 370)(24, 377)(25, 378)(26, 332)(27, 381)(28, 333)(29, 385)(30, 341)(31, 382)(32, 389)(33, 335)(34, 392)(35, 339)(36, 337)(37, 338)(38, 398)(39, 400)(40, 402)(41, 403)(42, 404)(43, 342)(44, 349)(45, 408)(46, 409)(47, 344)(48, 345)(49, 414)(50, 350)(51, 411)(52, 347)(53, 421)(54, 423)(55, 425)(56, 426)(57, 427)(58, 428)(59, 429)(60, 352)(61, 432)(62, 353)(63, 436)(64, 433)(65, 438)(66, 355)(67, 357)(68, 361)(69, 412)(70, 359)(71, 360)(72, 445)(73, 365)(74, 444)(75, 410)(76, 413)(77, 364)(78, 452)(79, 454)(80, 455)(81, 367)(82, 368)(83, 383)(84, 371)(85, 459)(86, 460)(87, 461)(88, 462)(89, 372)(90, 465)(91, 373)(92, 469)(93, 466)(94, 375)(95, 376)(96, 380)(97, 391)(98, 396)(99, 456)(100, 379)(101, 480)(102, 482)(103, 384)(104, 473)(105, 463)(106, 468)(107, 472)(108, 464)(109, 470)(110, 471)(111, 386)(112, 481)(113, 387)(114, 395)(115, 388)(116, 390)(117, 484)(118, 467)(119, 393)(120, 394)(121, 483)(122, 397)(123, 479)(124, 474)(125, 399)(126, 477)(127, 401)(128, 476)(129, 458)(130, 478)(131, 405)(132, 406)(133, 407)(134, 434)(135, 419)(136, 486)(137, 431)(138, 441)(139, 485)(140, 435)(141, 430)(142, 453)(143, 437)(144, 415)(145, 439)(146, 416)(147, 417)(148, 418)(149, 440)(150, 420)(151, 449)(152, 451)(153, 422)(154, 446)(155, 424)(156, 447)(157, 442)(158, 448)(159, 450)(160, 443)(161, 457)(162, 475)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2810
Graph:: bipartite
	v = 54 e = 324 f = 216
	degree seq :: [ 12^54 ]

E28.2810 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x (((C3 x C3) : C3) : C2) (small group id <162, 34>)
Aut   = (C3 x (((C3 x C3) : C3) : C2)) : C2 (small group id <324, 121>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^2 * Y2 * Y3^-2 * Y2^-1, Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1, Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, (Y3 * Y2^-1)^6, (Y3^-1 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)(325, 487, 326, 488, 328, 490)(327, 489, 332, 494, 334, 496)(329, 491, 337, 499, 338, 500)(330, 492, 340, 502, 342, 504)(331, 493, 343, 505, 344, 506)(333, 495, 341, 503, 349, 511)(335, 497, 352, 514, 353, 515)(336, 498, 354, 516, 355, 517)(339, 501, 345, 507, 356, 518)(346, 508, 366, 528, 368, 530)(347, 509, 369, 531, 370, 532)(348, 510, 367, 529, 371, 533)(350, 512, 373, 535, 374, 536)(351, 513, 375, 537, 376, 538)(357, 519, 383, 545, 384, 546)(358, 520, 385, 547, 386, 548)(359, 521, 387, 549, 389, 551)(360, 522, 390, 552, 391, 553)(361, 523, 388, 550, 392, 554)(362, 524, 393, 555, 394, 556)(363, 525, 395, 557, 396, 558)(364, 526, 397, 559, 398, 560)(365, 527, 399, 561, 400, 562)(372, 534, 407, 569, 408, 570)(377, 539, 415, 577, 416, 578)(378, 540, 417, 579, 418, 580)(379, 541, 419, 581, 420, 582)(380, 542, 421, 583, 422, 584)(381, 543, 423, 585, 424, 586)(382, 544, 425, 587, 426, 588)(401, 563, 439, 601, 440, 602)(402, 564, 441, 603, 442, 604)(403, 565, 433, 595, 443, 605)(404, 566, 434, 596, 444, 606)(405, 567, 445, 607, 446, 608)(406, 568, 437, 599, 447, 609)(409, 571, 448, 610, 449, 611)(410, 572, 450, 612, 451, 613)(411, 573, 452, 614, 427, 589)(412, 574, 453, 615, 428, 590)(413, 575, 454, 616, 455, 617)(414, 576, 456, 618, 431, 593)(429, 591, 460, 622, 463, 625)(430, 592, 461, 623, 464, 626)(432, 594, 462, 624, 465, 627)(435, 597, 466, 628, 457, 619)(436, 598, 467, 629, 458, 620)(438, 600, 468, 630, 459, 621)(469, 631, 478, 640, 484, 646)(470, 632, 479, 641, 485, 647)(471, 633, 480, 642, 486, 648)(472, 634, 481, 643, 475, 637)(473, 635, 482, 644, 476, 638)(474, 636, 483, 645, 477, 639)
	L = (1, 327)(2, 330)(3, 333)(4, 335)(5, 325)(6, 341)(7, 326)(8, 346)(9, 348)(10, 350)(11, 349)(12, 328)(13, 347)(14, 351)(15, 329)(16, 359)(17, 361)(18, 362)(19, 360)(20, 363)(21, 331)(22, 367)(23, 332)(24, 339)(25, 372)(26, 371)(27, 334)(28, 377)(29, 379)(30, 378)(31, 380)(32, 336)(33, 337)(34, 338)(35, 388)(36, 340)(37, 345)(38, 392)(39, 342)(40, 343)(41, 344)(42, 401)(43, 357)(44, 403)(45, 402)(46, 404)(47, 358)(48, 356)(49, 409)(50, 411)(51, 410)(52, 412)(53, 407)(54, 352)(55, 408)(56, 353)(57, 354)(58, 355)(59, 405)(60, 406)(61, 413)(62, 414)(63, 427)(64, 364)(65, 429)(66, 428)(67, 430)(68, 365)(69, 433)(70, 435)(71, 434)(72, 436)(73, 431)(74, 432)(75, 437)(76, 438)(77, 383)(78, 366)(79, 384)(80, 368)(81, 369)(82, 370)(83, 381)(84, 382)(85, 385)(86, 373)(87, 386)(88, 374)(89, 375)(90, 376)(91, 457)(92, 449)(93, 458)(94, 451)(95, 460)(96, 439)(97, 461)(98, 441)(99, 459)(100, 455)(101, 462)(102, 445)(103, 397)(104, 387)(105, 398)(106, 389)(107, 390)(108, 391)(109, 399)(110, 393)(111, 400)(112, 394)(113, 395)(114, 396)(115, 426)(116, 469)(117, 420)(118, 470)(119, 472)(120, 473)(121, 422)(122, 471)(123, 474)(124, 475)(125, 424)(126, 476)(127, 416)(128, 478)(129, 479)(130, 477)(131, 418)(132, 480)(133, 423)(134, 415)(135, 417)(136, 425)(137, 419)(138, 421)(139, 481)(140, 482)(141, 483)(142, 484)(143, 485)(144, 486)(145, 446)(146, 440)(147, 442)(148, 447)(149, 443)(150, 444)(151, 454)(152, 448)(153, 450)(154, 456)(155, 452)(156, 453)(157, 465)(158, 463)(159, 464)(160, 468)(161, 466)(162, 467)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2809
Graph:: simple bipartite
	v = 216 e = 324 f = 54
	degree seq :: [ 2^162, 6^54 ]

E28.2811 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x (((C3 x C3) : C3) : C2) (small group id <162, 34>)
Aut   = (C3 x (((C3 x C3) : C3) : C2)) : C2 (small group id <324, 121>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y1^6, Y1^-1 * Y3 * Y1^2 * Y3^-1 * Y1^-1, (Y1^-1, Y3^-1)^3, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1, (Y3^-1 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 163, 2, 164, 6, 168, 16, 178, 12, 174, 4, 166)(3, 165, 9, 171, 17, 179, 37, 199, 26, 188, 10, 172)(5, 167, 14, 176, 18, 180, 38, 200, 29, 191, 15, 177)(7, 169, 19, 181, 35, 197, 28, 190, 11, 173, 20, 182)(8, 170, 21, 183, 36, 198, 30, 192, 13, 175, 22, 184)(23, 185, 47, 209, 63, 225, 51, 213, 25, 187, 48, 210)(24, 186, 49, 211, 64, 226, 52, 214, 27, 189, 50, 212)(31, 193, 57, 219, 65, 227, 61, 223, 33, 195, 58, 220)(32, 194, 59, 221, 66, 228, 62, 224, 34, 196, 60, 222)(39, 201, 67, 229, 53, 215, 71, 233, 41, 203, 68, 230)(40, 202, 69, 231, 54, 216, 72, 234, 42, 204, 70, 232)(43, 205, 73, 235, 55, 217, 77, 239, 45, 207, 74, 236)(44, 206, 75, 237, 56, 218, 78, 240, 46, 208, 76, 238)(79, 241, 120, 282, 87, 249, 126, 288, 81, 243, 122, 284)(80, 242, 127, 289, 88, 250, 129, 291, 82, 244, 128, 290)(83, 245, 107, 269, 89, 251, 113, 275, 85, 247, 109, 271)(84, 246, 130, 292, 90, 252, 132, 294, 86, 248, 131, 293)(91, 253, 133, 295, 99, 261, 135, 297, 93, 255, 134, 296)(92, 254, 116, 278, 100, 262, 124, 286, 94, 256, 118, 280)(95, 257, 136, 298, 101, 263, 138, 300, 97, 259, 137, 299)(96, 258, 103, 265, 102, 264, 111, 273, 98, 260, 105, 267)(104, 266, 139, 301, 112, 274, 141, 303, 106, 268, 140, 302)(108, 270, 142, 304, 114, 276, 144, 306, 110, 272, 143, 305)(115, 277, 145, 307, 123, 285, 147, 309, 117, 279, 146, 308)(119, 281, 148, 310, 125, 287, 150, 312, 121, 283, 149, 311)(151, 313, 160, 322, 153, 315, 162, 324, 152, 314, 161, 323)(154, 316, 157, 319, 156, 318, 159, 321, 155, 317, 158, 320)(325, 487)(326, 488)(327, 489)(328, 490)(329, 491)(330, 492)(331, 493)(332, 494)(333, 495)(334, 496)(335, 497)(336, 498)(337, 499)(338, 500)(339, 501)(340, 502)(341, 503)(342, 504)(343, 505)(344, 506)(345, 507)(346, 508)(347, 509)(348, 510)(349, 511)(350, 512)(351, 513)(352, 514)(353, 515)(354, 516)(355, 517)(356, 518)(357, 519)(358, 520)(359, 521)(360, 522)(361, 523)(362, 524)(363, 525)(364, 526)(365, 527)(366, 528)(367, 529)(368, 530)(369, 531)(370, 532)(371, 533)(372, 534)(373, 535)(374, 536)(375, 537)(376, 538)(377, 539)(378, 540)(379, 541)(380, 542)(381, 543)(382, 544)(383, 545)(384, 546)(385, 547)(386, 548)(387, 549)(388, 550)(389, 551)(390, 552)(391, 553)(392, 554)(393, 555)(394, 556)(395, 557)(396, 558)(397, 559)(398, 560)(399, 561)(400, 562)(401, 563)(402, 564)(403, 565)(404, 566)(405, 567)(406, 568)(407, 569)(408, 570)(409, 571)(410, 572)(411, 573)(412, 574)(413, 575)(414, 576)(415, 577)(416, 578)(417, 579)(418, 580)(419, 581)(420, 582)(421, 583)(422, 584)(423, 585)(424, 586)(425, 587)(426, 588)(427, 589)(428, 590)(429, 591)(430, 592)(431, 593)(432, 594)(433, 595)(434, 596)(435, 597)(436, 598)(437, 599)(438, 600)(439, 601)(440, 602)(441, 603)(442, 604)(443, 605)(444, 606)(445, 607)(446, 608)(447, 609)(448, 610)(449, 611)(450, 612)(451, 613)(452, 614)(453, 615)(454, 616)(455, 617)(456, 618)(457, 619)(458, 620)(459, 621)(460, 622)(461, 623)(462, 624)(463, 625)(464, 626)(465, 627)(466, 628)(467, 629)(468, 630)(469, 631)(470, 632)(471, 633)(472, 634)(473, 635)(474, 636)(475, 637)(476, 638)(477, 639)(478, 640)(479, 641)(480, 642)(481, 643)(482, 644)(483, 645)(484, 646)(485, 647)(486, 648)
	L = (1, 327)(2, 331)(3, 329)(4, 335)(5, 325)(6, 341)(7, 332)(8, 326)(9, 347)(10, 349)(11, 337)(12, 350)(13, 328)(14, 355)(15, 357)(16, 359)(17, 342)(18, 330)(19, 363)(20, 365)(21, 367)(22, 369)(23, 348)(24, 333)(25, 351)(26, 353)(27, 334)(28, 377)(29, 336)(30, 379)(31, 356)(32, 338)(33, 358)(34, 339)(35, 360)(36, 340)(37, 387)(38, 389)(39, 364)(40, 343)(41, 366)(42, 344)(43, 368)(44, 345)(45, 370)(46, 346)(47, 403)(48, 405)(49, 407)(50, 409)(51, 411)(52, 413)(53, 378)(54, 352)(55, 380)(56, 354)(57, 415)(58, 417)(59, 419)(60, 421)(61, 423)(62, 425)(63, 388)(64, 361)(65, 390)(66, 362)(67, 427)(68, 429)(69, 431)(70, 433)(71, 435)(72, 437)(73, 439)(74, 441)(75, 443)(76, 445)(77, 447)(78, 449)(79, 404)(80, 371)(81, 406)(82, 372)(83, 408)(84, 373)(85, 410)(86, 374)(87, 412)(88, 375)(89, 414)(90, 376)(91, 416)(92, 381)(93, 418)(94, 382)(95, 420)(96, 383)(97, 422)(98, 384)(99, 424)(100, 385)(101, 426)(102, 386)(103, 428)(104, 391)(105, 430)(106, 392)(107, 432)(108, 393)(109, 434)(110, 394)(111, 436)(112, 395)(113, 438)(114, 396)(115, 440)(116, 397)(117, 442)(118, 398)(119, 444)(120, 399)(121, 446)(122, 400)(123, 448)(124, 401)(125, 450)(126, 402)(127, 460)(128, 461)(129, 462)(130, 478)(131, 479)(132, 480)(133, 454)(134, 455)(135, 456)(136, 475)(137, 476)(138, 477)(139, 472)(140, 473)(141, 474)(142, 484)(143, 485)(144, 486)(145, 466)(146, 467)(147, 468)(148, 481)(149, 482)(150, 483)(151, 451)(152, 452)(153, 453)(154, 457)(155, 458)(156, 459)(157, 463)(158, 464)(159, 465)(160, 469)(161, 470)(162, 471)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2806
Graph:: simple bipartite
	v = 189 e = 324 f = 81
	degree seq :: [ 2^162, 12^27 ]

E28.2812 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x (((C3 x C3) : C3) : C2) (small group id <162, 34>)
Aut   = (C3 x (((C3 x C3) : C3) : C2)) : C2 (small group id <324, 121>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y1)^2, (R * Y3)^2, Y1^6, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y3 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, (Y3^-1 * Y1^-2)^3, (Y3 * Y1^-2)^3, Y3 * Y1 * Y3 * Y1^2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-2, Y3 * Y1^-3 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: polytopal
	R = (1, 163, 2, 164, 6, 168, 16, 178, 12, 174, 4, 166)(3, 165, 9, 171, 23, 185, 59, 221, 27, 189, 10, 172)(5, 167, 14, 176, 35, 197, 84, 246, 39, 201, 15, 177)(7, 169, 19, 181, 47, 209, 107, 269, 51, 213, 20, 182)(8, 170, 21, 183, 53, 215, 115, 277, 57, 219, 22, 184)(11, 173, 29, 191, 69, 231, 127, 289, 72, 234, 30, 192)(13, 175, 33, 195, 78, 240, 145, 307, 82, 244, 34, 196)(17, 179, 43, 205, 90, 252, 151, 313, 100, 262, 44, 206)(18, 180, 45, 207, 66, 228, 133, 295, 105, 267, 46, 208)(24, 186, 62, 224, 97, 259, 157, 319, 128, 290, 63, 225)(25, 187, 54, 216, 117, 279, 81, 243, 130, 292, 64, 226)(26, 188, 50, 212, 99, 261, 150, 312, 132, 294, 65, 227)(28, 190, 56, 218, 118, 280, 158, 320, 98, 260, 68, 230)(31, 193, 74, 236, 139, 301, 149, 311, 86, 248, 75, 237)(32, 194, 76, 238, 141, 303, 124, 286, 60, 222, 77, 239)(36, 198, 87, 249, 143, 305, 162, 324, 138, 300, 71, 233)(37, 199, 55, 217, 103, 265, 134, 296, 142, 304, 80, 242)(38, 200, 88, 250, 111, 273, 49, 211, 102, 264, 73, 235)(40, 202, 91, 253, 106, 268, 161, 323, 144, 306, 92, 254)(41, 203, 93, 255, 120, 282, 129, 291, 146, 308, 94, 256)(42, 204, 95, 257, 112, 274, 131, 293, 135, 297, 96, 258)(48, 210, 109, 271, 153, 315, 137, 299, 70, 232, 110, 272)(52, 214, 104, 266, 126, 288, 148, 310, 154, 316, 114, 276)(58, 220, 121, 283, 156, 318, 147, 309, 83, 245, 122, 284)(61, 223, 116, 278, 89, 251, 113, 275, 160, 322, 125, 287)(67, 229, 119, 281, 159, 321, 136, 298, 85, 247, 108, 270)(79, 241, 101, 263, 155, 317, 123, 285, 152, 314, 140, 302)(325, 487)(326, 488)(327, 489)(328, 490)(329, 491)(330, 492)(331, 493)(332, 494)(333, 495)(334, 496)(335, 497)(336, 498)(337, 499)(338, 500)(339, 501)(340, 502)(341, 503)(342, 504)(343, 505)(344, 506)(345, 507)(346, 508)(347, 509)(348, 510)(349, 511)(350, 512)(351, 513)(352, 514)(353, 515)(354, 516)(355, 517)(356, 518)(357, 519)(358, 520)(359, 521)(360, 522)(361, 523)(362, 524)(363, 525)(364, 526)(365, 527)(366, 528)(367, 529)(368, 530)(369, 531)(370, 532)(371, 533)(372, 534)(373, 535)(374, 536)(375, 537)(376, 538)(377, 539)(378, 540)(379, 541)(380, 542)(381, 543)(382, 544)(383, 545)(384, 546)(385, 547)(386, 548)(387, 549)(388, 550)(389, 551)(390, 552)(391, 553)(392, 554)(393, 555)(394, 556)(395, 557)(396, 558)(397, 559)(398, 560)(399, 561)(400, 562)(401, 563)(402, 564)(403, 565)(404, 566)(405, 567)(406, 568)(407, 569)(408, 570)(409, 571)(410, 572)(411, 573)(412, 574)(413, 575)(414, 576)(415, 577)(416, 578)(417, 579)(418, 580)(419, 581)(420, 582)(421, 583)(422, 584)(423, 585)(424, 586)(425, 587)(426, 588)(427, 589)(428, 590)(429, 591)(430, 592)(431, 593)(432, 594)(433, 595)(434, 596)(435, 597)(436, 598)(437, 599)(438, 600)(439, 601)(440, 602)(441, 603)(442, 604)(443, 605)(444, 606)(445, 607)(446, 608)(447, 609)(448, 610)(449, 611)(450, 612)(451, 613)(452, 614)(453, 615)(454, 616)(455, 617)(456, 618)(457, 619)(458, 620)(459, 621)(460, 622)(461, 623)(462, 624)(463, 625)(464, 626)(465, 627)(466, 628)(467, 629)(468, 630)(469, 631)(470, 632)(471, 633)(472, 634)(473, 635)(474, 636)(475, 637)(476, 638)(477, 639)(478, 640)(479, 641)(480, 642)(481, 643)(482, 644)(483, 645)(484, 646)(485, 647)(486, 648)
	L = (1, 327)(2, 331)(3, 329)(4, 335)(5, 325)(6, 341)(7, 332)(8, 326)(9, 348)(10, 350)(11, 337)(12, 355)(13, 328)(14, 360)(15, 362)(16, 365)(17, 342)(18, 330)(19, 372)(20, 374)(21, 378)(22, 380)(23, 384)(24, 349)(25, 333)(26, 352)(27, 390)(28, 334)(29, 394)(30, 389)(31, 356)(32, 336)(33, 403)(34, 405)(35, 409)(36, 361)(37, 338)(38, 364)(39, 413)(40, 339)(41, 366)(42, 340)(43, 421)(44, 423)(45, 426)(46, 428)(47, 406)(48, 373)(49, 343)(50, 376)(51, 436)(52, 344)(53, 440)(54, 379)(55, 345)(56, 382)(57, 443)(58, 346)(59, 433)(60, 385)(61, 347)(62, 450)(63, 412)(64, 415)(65, 397)(66, 391)(67, 351)(68, 458)(69, 459)(70, 395)(71, 353)(72, 377)(73, 354)(74, 452)(75, 456)(76, 438)(77, 467)(78, 449)(79, 404)(80, 357)(81, 407)(82, 432)(83, 358)(84, 472)(85, 410)(86, 359)(87, 418)(88, 453)(89, 414)(90, 363)(91, 455)(92, 439)(93, 477)(94, 474)(95, 392)(96, 479)(97, 422)(98, 367)(99, 425)(100, 465)(101, 368)(102, 427)(103, 369)(104, 430)(105, 484)(106, 370)(107, 481)(108, 371)(109, 447)(110, 442)(111, 445)(112, 437)(113, 375)(114, 466)(115, 476)(116, 396)(117, 399)(118, 473)(119, 444)(120, 381)(121, 448)(122, 457)(123, 383)(124, 435)(125, 470)(126, 451)(127, 386)(128, 464)(129, 387)(130, 475)(131, 388)(132, 441)(133, 462)(134, 419)(135, 460)(136, 393)(137, 454)(138, 446)(139, 429)(140, 398)(141, 483)(142, 400)(143, 468)(144, 401)(145, 482)(146, 402)(147, 408)(148, 471)(149, 434)(150, 411)(151, 461)(152, 416)(153, 478)(154, 417)(155, 480)(156, 420)(157, 486)(158, 485)(159, 424)(160, 463)(161, 469)(162, 431)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2807
Graph:: simple bipartite
	v = 189 e = 324 f = 81
	degree seq :: [ 2^162, 12^27 ]

E28.2813 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x (((C3 x C3) : C3) : C2) (small group id <162, 34>)
Aut   = (C3 x (((C3 x C3) : C3) : C2)) : C2 (small group id <324, 121>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^6, (Y3 * Y2^-1)^3, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, (Y3 * Y1^-2)^3, (Y3^-1 * Y1^-2)^3, (Y3 * Y1^-2)^3, (Y1^-2 * Y3^-1 * Y1^-1 * Y3)^2, (Y3^-1 * Y1^-2 * Y3 * Y1^-1)^2, Y1^-1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: polytopal
	R = (1, 163, 2, 164, 6, 168, 16, 178, 12, 174, 4, 166)(3, 165, 9, 171, 23, 185, 59, 221, 27, 189, 10, 172)(5, 167, 14, 176, 35, 197, 84, 246, 39, 201, 15, 177)(7, 169, 19, 181, 47, 209, 107, 269, 51, 213, 20, 182)(8, 170, 21, 183, 53, 215, 115, 277, 57, 219, 22, 184)(11, 173, 29, 191, 71, 233, 136, 298, 74, 236, 30, 192)(13, 175, 33, 195, 80, 242, 145, 307, 82, 244, 34, 196)(17, 179, 43, 205, 92, 254, 152, 314, 100, 262, 44, 206)(18, 180, 45, 207, 67, 229, 134, 296, 105, 267, 46, 208)(24, 186, 48, 210, 97, 259, 151, 313, 127, 289, 62, 224)(25, 187, 63, 225, 128, 290, 162, 324, 130, 292, 64, 226)(26, 188, 65, 227, 99, 261, 157, 319, 133, 295, 66, 228)(28, 190, 69, 231, 117, 279, 54, 216, 98, 260, 70, 232)(31, 193, 76, 238, 141, 303, 149, 311, 86, 248, 77, 239)(32, 194, 78, 240, 142, 304, 125, 287, 60, 222, 79, 241)(36, 198, 49, 211, 109, 271, 75, 237, 140, 302, 87, 249)(37, 199, 88, 250, 103, 265, 160, 322, 143, 305, 89, 251)(38, 200, 52, 214, 114, 276, 159, 321, 102, 264, 90, 252)(40, 202, 58, 220, 106, 268, 129, 291, 144, 306, 83, 245)(41, 203, 93, 255, 122, 284, 131, 293, 146, 308, 94, 256)(42, 204, 95, 257, 112, 274, 135, 297, 137, 299, 96, 258)(50, 212, 110, 272, 153, 315, 123, 285, 73, 235, 111, 273)(55, 217, 118, 280, 156, 318, 147, 309, 81, 243, 119, 281)(56, 218, 101, 263, 150, 312, 124, 286, 155, 317, 120, 282)(61, 223, 116, 278, 91, 253, 113, 275, 161, 323, 126, 288)(68, 230, 121, 283, 158, 320, 138, 300, 85, 247, 108, 270)(72, 234, 104, 266, 154, 316, 148, 310, 132, 294, 139, 301)(325, 487)(326, 488)(327, 489)(328, 490)(329, 491)(330, 492)(331, 493)(332, 494)(333, 495)(334, 496)(335, 497)(336, 498)(337, 499)(338, 500)(339, 501)(340, 502)(341, 503)(342, 504)(343, 505)(344, 506)(345, 507)(346, 508)(347, 509)(348, 510)(349, 511)(350, 512)(351, 513)(352, 514)(353, 515)(354, 516)(355, 517)(356, 518)(357, 519)(358, 520)(359, 521)(360, 522)(361, 523)(362, 524)(363, 525)(364, 526)(365, 527)(366, 528)(367, 529)(368, 530)(369, 531)(370, 532)(371, 533)(372, 534)(373, 535)(374, 536)(375, 537)(376, 538)(377, 539)(378, 540)(379, 541)(380, 542)(381, 543)(382, 544)(383, 545)(384, 546)(385, 547)(386, 548)(387, 549)(388, 550)(389, 551)(390, 552)(391, 553)(392, 554)(393, 555)(394, 556)(395, 557)(396, 558)(397, 559)(398, 560)(399, 561)(400, 562)(401, 563)(402, 564)(403, 565)(404, 566)(405, 567)(406, 568)(407, 569)(408, 570)(409, 571)(410, 572)(411, 573)(412, 574)(413, 575)(414, 576)(415, 577)(416, 578)(417, 579)(418, 580)(419, 581)(420, 582)(421, 583)(422, 584)(423, 585)(424, 586)(425, 587)(426, 588)(427, 589)(428, 590)(429, 591)(430, 592)(431, 593)(432, 594)(433, 595)(434, 596)(435, 597)(436, 598)(437, 599)(438, 600)(439, 601)(440, 602)(441, 603)(442, 604)(443, 605)(444, 606)(445, 607)(446, 608)(447, 609)(448, 610)(449, 611)(450, 612)(451, 613)(452, 614)(453, 615)(454, 616)(455, 617)(456, 618)(457, 619)(458, 620)(459, 621)(460, 622)(461, 623)(462, 624)(463, 625)(464, 626)(465, 627)(466, 628)(467, 629)(468, 630)(469, 631)(470, 632)(471, 633)(472, 634)(473, 635)(474, 636)(475, 637)(476, 638)(477, 639)(478, 640)(479, 641)(480, 642)(481, 643)(482, 644)(483, 645)(484, 646)(485, 647)(486, 648)
	L = (1, 327)(2, 331)(3, 329)(4, 335)(5, 325)(6, 341)(7, 332)(8, 326)(9, 348)(10, 350)(11, 337)(12, 355)(13, 328)(14, 360)(15, 362)(16, 365)(17, 342)(18, 330)(19, 372)(20, 374)(21, 378)(22, 380)(23, 384)(24, 349)(25, 333)(26, 352)(27, 391)(28, 334)(29, 386)(30, 397)(31, 356)(32, 336)(33, 388)(34, 394)(35, 409)(36, 361)(37, 338)(38, 364)(39, 415)(40, 339)(41, 366)(42, 340)(43, 421)(44, 423)(45, 426)(46, 428)(47, 406)(48, 373)(49, 343)(50, 376)(51, 436)(52, 344)(53, 440)(54, 379)(55, 345)(56, 382)(57, 445)(58, 346)(59, 447)(60, 385)(61, 347)(62, 396)(63, 453)(64, 405)(65, 411)(66, 456)(67, 392)(68, 351)(69, 413)(70, 407)(71, 461)(72, 353)(73, 399)(74, 377)(75, 354)(76, 451)(77, 457)(78, 463)(79, 433)(80, 450)(81, 357)(82, 432)(83, 358)(84, 472)(85, 410)(86, 359)(87, 455)(88, 469)(89, 459)(90, 417)(91, 416)(92, 363)(93, 475)(94, 477)(95, 479)(96, 387)(97, 422)(98, 367)(99, 425)(100, 466)(101, 368)(102, 427)(103, 369)(104, 430)(105, 485)(106, 370)(107, 390)(108, 371)(109, 468)(110, 441)(111, 454)(112, 437)(113, 375)(114, 443)(115, 486)(116, 398)(117, 473)(118, 408)(119, 449)(120, 400)(121, 446)(122, 381)(123, 448)(124, 383)(125, 438)(126, 470)(127, 444)(128, 401)(129, 420)(130, 476)(131, 389)(132, 431)(133, 452)(134, 464)(135, 393)(136, 481)(137, 462)(138, 395)(139, 467)(140, 471)(141, 429)(142, 482)(143, 402)(144, 403)(145, 474)(146, 404)(147, 458)(148, 442)(149, 434)(150, 412)(151, 414)(152, 435)(153, 478)(154, 418)(155, 480)(156, 419)(157, 483)(158, 424)(159, 460)(160, 439)(161, 465)(162, 484)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2808
Graph:: simple bipartite
	v = 189 e = 324 f = 81
	degree seq :: [ 2^162, 12^27 ]

E28.2814 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6})
Quotient :: dipole
Aut^+ = C3 x (((C3 x C3) : C3) : C2) (small group id <162, 34>)
Aut   = (C3 x (((C3 x C3) : C3) : C2)) : C2 (small group id <324, 121>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y3)^2, (R * Y1)^2, Y1^6, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y3^-1 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^-1, (Y3^-1 * Y1^-2)^3, (Y3 * Y1^-2)^3, (Y3^-1 * Y1^-1 * Y3 * Y1^-2)^2, Y3^-1 * Y1^-3 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: polytopal
	R = (1, 163, 2, 164, 6, 168, 16, 178, 12, 174, 4, 166)(3, 165, 9, 171, 23, 185, 59, 221, 27, 189, 10, 172)(5, 167, 14, 176, 35, 197, 84, 246, 39, 201, 15, 177)(7, 169, 19, 181, 47, 209, 107, 269, 51, 213, 20, 182)(8, 170, 21, 183, 53, 215, 115, 277, 57, 219, 22, 184)(11, 173, 29, 191, 70, 232, 134, 296, 73, 235, 30, 192)(13, 175, 33, 195, 79, 241, 129, 291, 82, 244, 34, 196)(17, 179, 43, 205, 91, 253, 149, 311, 100, 262, 44, 206)(18, 180, 45, 207, 66, 228, 131, 293, 105, 267, 46, 208)(24, 186, 62, 224, 97, 259, 72, 234, 111, 273, 50, 212)(25, 187, 63, 225, 127, 289, 150, 312, 119, 281, 56, 218)(26, 188, 64, 226, 99, 261, 48, 210, 109, 271, 65, 227)(28, 190, 68, 230, 132, 294, 147, 309, 98, 260, 69, 231)(31, 193, 75, 237, 139, 301, 145, 307, 86, 248, 76, 238)(32, 194, 77, 239, 141, 303, 124, 286, 60, 222, 78, 240)(36, 198, 87, 249, 142, 304, 130, 292, 114, 276, 52, 214)(37, 199, 88, 250, 103, 265, 83, 245, 122, 284, 58, 220)(38, 200, 71, 233, 137, 299, 126, 288, 102, 264, 89, 251)(40, 202, 80, 242, 106, 268, 55, 217, 118, 280, 92, 254)(41, 203, 93, 255, 121, 283, 158, 320, 143, 305, 94, 256)(42, 204, 95, 257, 112, 274, 155, 317, 135, 297, 96, 258)(49, 211, 110, 272, 74, 236, 138, 300, 153, 315, 104, 266)(54, 216, 117, 279, 81, 243, 140, 302, 152, 314, 101, 263)(61, 223, 116, 278, 90, 252, 113, 275, 154, 316, 125, 287)(67, 229, 120, 282, 151, 313, 136, 298, 85, 247, 108, 270)(123, 285, 148, 310, 157, 319, 162, 324, 160, 322, 146, 308)(128, 290, 144, 306, 133, 295, 156, 318, 161, 323, 159, 321)(325, 487)(326, 488)(327, 489)(328, 490)(329, 491)(330, 492)(331, 493)(332, 494)(333, 495)(334, 496)(335, 497)(336, 498)(337, 499)(338, 500)(339, 501)(340, 502)(341, 503)(342, 504)(343, 505)(344, 506)(345, 507)(346, 508)(347, 509)(348, 510)(349, 511)(350, 512)(351, 513)(352, 514)(353, 515)(354, 516)(355, 517)(356, 518)(357, 519)(358, 520)(359, 521)(360, 522)(361, 523)(362, 524)(363, 525)(364, 526)(365, 527)(366, 528)(367, 529)(368, 530)(369, 531)(370, 532)(371, 533)(372, 534)(373, 535)(374, 536)(375, 537)(376, 538)(377, 539)(378, 540)(379, 541)(380, 542)(381, 543)(382, 544)(383, 545)(384, 546)(385, 547)(386, 548)(387, 549)(388, 550)(389, 551)(390, 552)(391, 553)(392, 554)(393, 555)(394, 556)(395, 557)(396, 558)(397, 559)(398, 560)(399, 561)(400, 562)(401, 563)(402, 564)(403, 565)(404, 566)(405, 567)(406, 568)(407, 569)(408, 570)(409, 571)(410, 572)(411, 573)(412, 574)(413, 575)(414, 576)(415, 577)(416, 578)(417, 579)(418, 580)(419, 581)(420, 582)(421, 583)(422, 584)(423, 585)(424, 586)(425, 587)(426, 588)(427, 589)(428, 590)(429, 591)(430, 592)(431, 593)(432, 594)(433, 595)(434, 596)(435, 597)(436, 598)(437, 599)(438, 600)(439, 601)(440, 602)(441, 603)(442, 604)(443, 605)(444, 606)(445, 607)(446, 608)(447, 609)(448, 610)(449, 611)(450, 612)(451, 613)(452, 614)(453, 615)(454, 616)(455, 617)(456, 618)(457, 619)(458, 620)(459, 621)(460, 622)(461, 623)(462, 624)(463, 625)(464, 626)(465, 627)(466, 628)(467, 629)(468, 630)(469, 631)(470, 632)(471, 633)(472, 634)(473, 635)(474, 636)(475, 637)(476, 638)(477, 639)(478, 640)(479, 641)(480, 642)(481, 643)(482, 644)(483, 645)(484, 646)(485, 647)(486, 648)
	L = (1, 327)(2, 331)(3, 329)(4, 335)(5, 325)(6, 341)(7, 332)(8, 326)(9, 348)(10, 350)(11, 337)(12, 355)(13, 328)(14, 360)(15, 362)(16, 365)(17, 342)(18, 330)(19, 372)(20, 374)(21, 378)(22, 380)(23, 384)(24, 349)(25, 333)(26, 352)(27, 390)(28, 334)(29, 388)(30, 396)(31, 356)(32, 336)(33, 392)(34, 405)(35, 409)(36, 361)(37, 338)(38, 364)(39, 414)(40, 339)(41, 366)(42, 340)(43, 421)(44, 423)(45, 426)(46, 428)(47, 406)(48, 373)(49, 343)(50, 376)(51, 436)(52, 344)(53, 440)(54, 379)(55, 345)(56, 382)(57, 444)(58, 346)(59, 447)(60, 385)(61, 347)(62, 450)(63, 452)(64, 395)(65, 454)(66, 391)(67, 351)(68, 404)(69, 457)(70, 459)(71, 353)(72, 398)(73, 377)(74, 354)(75, 435)(76, 433)(77, 462)(78, 466)(79, 449)(80, 357)(81, 407)(82, 432)(83, 358)(84, 434)(85, 410)(86, 359)(87, 458)(88, 420)(89, 431)(90, 415)(91, 363)(92, 419)(93, 389)(94, 386)(95, 474)(96, 471)(97, 422)(98, 367)(99, 425)(100, 465)(101, 368)(102, 427)(103, 369)(104, 430)(105, 478)(106, 370)(107, 472)(108, 371)(109, 451)(110, 468)(111, 464)(112, 437)(113, 375)(114, 480)(115, 393)(116, 397)(117, 383)(118, 402)(119, 473)(120, 445)(121, 381)(122, 401)(123, 441)(124, 461)(125, 467)(126, 418)(127, 400)(128, 453)(129, 387)(130, 417)(131, 438)(132, 469)(133, 439)(134, 470)(135, 460)(136, 394)(137, 483)(138, 446)(139, 429)(140, 399)(141, 475)(142, 442)(143, 403)(144, 408)(145, 484)(146, 411)(147, 412)(148, 413)(149, 481)(150, 416)(151, 424)(152, 485)(153, 482)(154, 463)(155, 476)(156, 455)(157, 443)(158, 486)(159, 448)(160, 456)(161, 479)(162, 477)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2805
Graph:: simple bipartite
	v = 189 e = 324 f = 81
	degree seq :: [ 2^162, 12^27 ]

E28.2815 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 6, 6})
Quotient :: edge
Aut^+ = ((C3 x C3) : C3) x S3 (small group id <162, 35>)
Aut   = S3 x (((C3 x C3) : C3) : C2) (small group id <324, 122>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^6, (T1, T2, T1^-1), (T2^2 * T1)^3, (T2^-2 * T1)^3, T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2 * T1 * T2^-3 * T1 * T2 * T1^-1 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 25, 15, 5)(2, 6, 17, 44, 21, 7)(4, 11, 30, 72, 34, 12)(8, 22, 55, 108, 58, 23)(10, 27, 66, 129, 69, 28)(13, 35, 81, 95, 84, 36)(14, 37, 85, 138, 88, 38)(16, 41, 94, 141, 96, 42)(18, 46, 103, 86, 105, 47)(19, 48, 106, 134, 109, 49)(20, 50, 110, 65, 113, 51)(24, 59, 80, 144, 122, 60)(26, 63, 52, 114, 128, 64)(29, 70, 125, 83, 120, 57)(31, 74, 139, 111, 131, 68)(32, 75, 119, 56, 118, 76)(33, 77, 142, 102, 126, 78)(39, 89, 149, 137, 73, 90)(40, 91, 150, 97, 43, 92)(45, 100, 79, 132, 153, 101)(53, 115, 156, 135, 71, 116)(54, 98, 82, 146, 157, 117)(61, 123, 133, 160, 147, 124)(62, 112, 121, 158, 145, 104)(67, 130, 87, 148, 159, 127)(93, 136, 107, 155, 161, 151)(99, 143, 152, 162, 154, 140)(163, 164, 166)(165, 170, 172)(167, 175, 176)(168, 178, 180)(169, 181, 182)(171, 186, 188)(173, 191, 193)(174, 194, 195)(177, 201, 202)(179, 205, 207)(183, 214, 215)(184, 216, 218)(185, 204, 219)(187, 223, 224)(189, 227, 229)(190, 209, 230)(192, 233, 235)(196, 241, 242)(197, 210, 237)(198, 244, 245)(199, 212, 239)(200, 248, 249)(203, 255, 257)(206, 260, 261)(208, 264, 266)(211, 269, 270)(213, 273, 274)(217, 250, 262)(220, 283, 277)(221, 271, 265)(222, 279, 272)(225, 287, 288)(226, 281, 289)(228, 278, 246)(231, 294, 295)(232, 286, 296)(234, 298, 292)(236, 300, 302)(238, 285, 303)(240, 291, 305)(243, 307, 263)(247, 297, 309)(251, 308, 267)(252, 256, 275)(253, 282, 310)(254, 280, 301)(258, 314, 306)(259, 313, 304)(268, 316, 299)(276, 317, 293)(284, 312, 318)(290, 315, 311)(319, 323, 322)(320, 324, 321)
	L = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 12^3 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2816
Transitivity :: ET+
Graph:: simple bipartite
	v = 81 e = 162 f = 27
	degree seq :: [ 3^54, 6^27 ]

E28.2816 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 6, 6})
Quotient :: loop
Aut^+ = ((C3 x C3) : C3) x S3 (small group id <162, 35>)
Aut   = S3 x (((C3 x C3) : C3) : C2) (small group id <324, 122>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^6, (T1, T2, T1^-1), (T2^2 * T1)^3, (T2^-2 * T1)^3, T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2 * T1 * T2^-3 * T1 * T2 * T1^-1 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 163, 3, 165, 9, 171, 25, 187, 15, 177, 5, 167)(2, 164, 6, 168, 17, 179, 44, 206, 21, 183, 7, 169)(4, 166, 11, 173, 30, 192, 72, 234, 34, 196, 12, 174)(8, 170, 22, 184, 55, 217, 108, 270, 58, 220, 23, 185)(10, 172, 27, 189, 66, 228, 129, 291, 69, 231, 28, 190)(13, 175, 35, 197, 81, 243, 95, 257, 84, 246, 36, 198)(14, 176, 37, 199, 85, 247, 138, 300, 88, 250, 38, 200)(16, 178, 41, 203, 94, 256, 141, 303, 96, 258, 42, 204)(18, 180, 46, 208, 103, 265, 86, 248, 105, 267, 47, 209)(19, 181, 48, 210, 106, 268, 134, 296, 109, 271, 49, 211)(20, 182, 50, 212, 110, 272, 65, 227, 113, 275, 51, 213)(24, 186, 59, 221, 80, 242, 144, 306, 122, 284, 60, 222)(26, 188, 63, 225, 52, 214, 114, 276, 128, 290, 64, 226)(29, 191, 70, 232, 125, 287, 83, 245, 120, 282, 57, 219)(31, 193, 74, 236, 139, 301, 111, 273, 131, 293, 68, 230)(32, 194, 75, 237, 119, 281, 56, 218, 118, 280, 76, 238)(33, 195, 77, 239, 142, 304, 102, 264, 126, 288, 78, 240)(39, 201, 89, 251, 149, 311, 137, 299, 73, 235, 90, 252)(40, 202, 91, 253, 150, 312, 97, 259, 43, 205, 92, 254)(45, 207, 100, 262, 79, 241, 132, 294, 153, 315, 101, 263)(53, 215, 115, 277, 156, 318, 135, 297, 71, 233, 116, 278)(54, 216, 98, 260, 82, 244, 146, 308, 157, 319, 117, 279)(61, 223, 123, 285, 133, 295, 160, 322, 147, 309, 124, 286)(62, 224, 112, 274, 121, 283, 158, 320, 145, 307, 104, 266)(67, 229, 130, 292, 87, 249, 148, 310, 159, 321, 127, 289)(93, 255, 136, 298, 107, 269, 155, 317, 161, 323, 151, 313)(99, 261, 143, 305, 152, 314, 162, 324, 154, 316, 140, 302)
	L = (1, 164)(2, 166)(3, 170)(4, 163)(5, 175)(6, 178)(7, 181)(8, 172)(9, 186)(10, 165)(11, 191)(12, 194)(13, 176)(14, 167)(15, 201)(16, 180)(17, 205)(18, 168)(19, 182)(20, 169)(21, 214)(22, 216)(23, 204)(24, 188)(25, 223)(26, 171)(27, 227)(28, 209)(29, 193)(30, 233)(31, 173)(32, 195)(33, 174)(34, 241)(35, 210)(36, 244)(37, 212)(38, 248)(39, 202)(40, 177)(41, 255)(42, 219)(43, 207)(44, 260)(45, 179)(46, 264)(47, 230)(48, 237)(49, 269)(50, 239)(51, 273)(52, 215)(53, 183)(54, 218)(55, 250)(56, 184)(57, 185)(58, 283)(59, 271)(60, 279)(61, 224)(62, 187)(63, 287)(64, 281)(65, 229)(66, 278)(67, 189)(68, 190)(69, 294)(70, 286)(71, 235)(72, 298)(73, 192)(74, 300)(75, 197)(76, 285)(77, 199)(78, 291)(79, 242)(80, 196)(81, 307)(82, 245)(83, 198)(84, 228)(85, 297)(86, 249)(87, 200)(88, 262)(89, 308)(90, 256)(91, 282)(92, 280)(93, 257)(94, 275)(95, 203)(96, 314)(97, 313)(98, 261)(99, 206)(100, 217)(101, 243)(102, 266)(103, 221)(104, 208)(105, 251)(106, 316)(107, 270)(108, 211)(109, 265)(110, 222)(111, 274)(112, 213)(113, 252)(114, 317)(115, 220)(116, 246)(117, 272)(118, 301)(119, 289)(120, 310)(121, 277)(122, 312)(123, 303)(124, 296)(125, 288)(126, 225)(127, 226)(128, 315)(129, 305)(130, 234)(131, 276)(132, 295)(133, 231)(134, 232)(135, 309)(136, 292)(137, 268)(138, 302)(139, 254)(140, 236)(141, 238)(142, 259)(143, 240)(144, 258)(145, 263)(146, 267)(147, 247)(148, 253)(149, 290)(150, 318)(151, 304)(152, 306)(153, 311)(154, 299)(155, 293)(156, 284)(157, 323)(158, 324)(159, 320)(160, 319)(161, 322)(162, 321)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2815
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 27 e = 162 f = 81
	degree seq :: [ 12^27 ]

E28.2817 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) x S3 (small group id <162, 35>)
Aut   = S3 x (((C3 x C3) : C3) : C2) (small group id <324, 122>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y3 * Y1^-2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^6, Y3^-1 * Y2^6 * Y1^-1, Y3 * Y2^-1 * Y3 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y2, Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1, Y2^-1 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y2 * Y3^-1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2, Y2^-2 * Y1 * Y2^-2 * Y3^-1 * Y2^-2 * Y1, Y2 * Y3 * Y2^2 * Y3 * Y2^2 * Y1^-1 * Y2, Y1 * Y2^2 * Y1 * Y2^2 * Y3^-1 * Y2^2, Y2^-2 * Y3 * Y2^-1 * Y1 * Y2^2 * Y3 * Y2 * Y1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2^3 * Y1^-1, Y3 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^3, Y2^-3 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y2 * Y3 * Y2^-3, Y1 * Y2 * Y1 * Y2^2 * Y1^-1 * Y2 * Y3 * Y2^2, Y2^2 * Y1 * Y2^-1 * Y3 * Y2^-2 * Y3^-1 * Y2 * Y1^-1, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 163, 2, 164, 4, 166)(3, 165, 8, 170, 10, 172)(5, 167, 13, 175, 14, 176)(6, 168, 16, 178, 18, 180)(7, 169, 19, 181, 20, 182)(9, 171, 24, 186, 26, 188)(11, 173, 29, 191, 31, 193)(12, 174, 32, 194, 33, 195)(15, 177, 39, 201, 40, 202)(17, 179, 43, 205, 45, 207)(21, 183, 52, 214, 53, 215)(22, 184, 54, 216, 56, 218)(23, 185, 42, 204, 57, 219)(25, 187, 61, 223, 62, 224)(27, 189, 65, 227, 67, 229)(28, 190, 47, 209, 68, 230)(30, 192, 71, 233, 73, 235)(34, 196, 79, 241, 80, 242)(35, 197, 48, 210, 75, 237)(36, 198, 82, 244, 83, 245)(37, 199, 50, 212, 77, 239)(38, 200, 86, 248, 87, 249)(41, 203, 93, 255, 95, 257)(44, 206, 98, 260, 99, 261)(46, 208, 102, 264, 104, 266)(49, 211, 107, 269, 108, 270)(51, 213, 111, 273, 112, 274)(55, 217, 88, 250, 100, 262)(58, 220, 121, 283, 115, 277)(59, 221, 109, 271, 103, 265)(60, 222, 117, 279, 110, 272)(63, 225, 125, 287, 126, 288)(64, 226, 119, 281, 127, 289)(66, 228, 116, 278, 84, 246)(69, 231, 132, 294, 133, 295)(70, 232, 124, 286, 134, 296)(72, 234, 136, 298, 130, 292)(74, 236, 138, 300, 140, 302)(76, 238, 123, 285, 141, 303)(78, 240, 129, 291, 143, 305)(81, 243, 145, 307, 101, 263)(85, 247, 135, 297, 147, 309)(89, 251, 146, 308, 105, 267)(90, 252, 94, 256, 113, 275)(91, 253, 120, 282, 148, 310)(92, 254, 118, 280, 139, 301)(96, 258, 152, 314, 144, 306)(97, 259, 151, 313, 142, 304)(106, 268, 154, 316, 137, 299)(114, 276, 155, 317, 131, 293)(122, 284, 150, 312, 156, 318)(128, 290, 153, 315, 149, 311)(157, 319, 161, 323, 160, 322)(158, 320, 162, 324, 159, 321)(325, 487, 327, 489, 333, 495, 349, 511, 339, 501, 329, 491)(326, 488, 330, 492, 341, 503, 368, 530, 345, 507, 331, 493)(328, 490, 335, 497, 354, 516, 396, 558, 358, 520, 336, 498)(332, 494, 346, 508, 379, 541, 432, 594, 382, 544, 347, 509)(334, 496, 351, 513, 390, 552, 453, 615, 393, 555, 352, 514)(337, 499, 359, 521, 405, 567, 419, 581, 408, 570, 360, 522)(338, 500, 361, 523, 409, 571, 462, 624, 412, 574, 362, 524)(340, 502, 365, 527, 418, 580, 465, 627, 420, 582, 366, 528)(342, 504, 370, 532, 427, 589, 410, 572, 429, 591, 371, 533)(343, 505, 372, 534, 430, 592, 458, 620, 433, 595, 373, 535)(344, 506, 374, 536, 434, 596, 389, 551, 437, 599, 375, 537)(348, 510, 383, 545, 404, 566, 468, 630, 446, 608, 384, 546)(350, 512, 387, 549, 376, 538, 438, 600, 452, 614, 388, 550)(353, 515, 394, 556, 449, 611, 407, 569, 444, 606, 381, 543)(355, 517, 398, 560, 463, 625, 435, 597, 455, 617, 392, 554)(356, 518, 399, 561, 443, 605, 380, 542, 442, 604, 400, 562)(357, 519, 401, 563, 466, 628, 426, 588, 450, 612, 402, 564)(363, 525, 413, 575, 473, 635, 461, 623, 397, 559, 414, 576)(364, 526, 415, 577, 474, 636, 421, 583, 367, 529, 416, 578)(369, 531, 424, 586, 403, 565, 456, 618, 477, 639, 425, 587)(377, 539, 439, 601, 480, 642, 459, 621, 395, 557, 440, 602)(378, 540, 422, 584, 406, 568, 470, 632, 481, 643, 441, 603)(385, 547, 447, 609, 457, 619, 484, 646, 471, 633, 448, 610)(386, 548, 436, 598, 445, 607, 482, 644, 469, 631, 428, 590)(391, 553, 454, 616, 411, 573, 472, 634, 483, 645, 451, 613)(417, 579, 460, 622, 431, 593, 479, 641, 485, 647, 475, 637)(423, 585, 467, 629, 476, 638, 486, 648, 478, 640, 464, 626)
	L = (1, 328)(2, 325)(3, 334)(4, 326)(5, 338)(6, 342)(7, 344)(8, 327)(9, 350)(10, 332)(11, 355)(12, 357)(13, 329)(14, 337)(15, 364)(16, 330)(17, 369)(18, 340)(19, 331)(20, 343)(21, 377)(22, 380)(23, 381)(24, 333)(25, 386)(26, 348)(27, 391)(28, 392)(29, 335)(30, 397)(31, 353)(32, 336)(33, 356)(34, 404)(35, 399)(36, 407)(37, 401)(38, 411)(39, 339)(40, 363)(41, 419)(42, 347)(43, 341)(44, 423)(45, 367)(46, 428)(47, 352)(48, 359)(49, 432)(50, 361)(51, 436)(52, 345)(53, 376)(54, 346)(55, 424)(56, 378)(57, 366)(58, 439)(59, 427)(60, 434)(61, 349)(62, 385)(63, 450)(64, 451)(65, 351)(66, 408)(67, 389)(68, 371)(69, 457)(70, 458)(71, 354)(72, 454)(73, 395)(74, 464)(75, 372)(76, 465)(77, 374)(78, 467)(79, 358)(80, 403)(81, 425)(82, 360)(83, 406)(84, 440)(85, 471)(86, 362)(87, 410)(88, 379)(89, 429)(90, 437)(91, 472)(92, 463)(93, 365)(94, 414)(95, 417)(96, 468)(97, 466)(98, 368)(99, 422)(100, 412)(101, 469)(102, 370)(103, 433)(104, 426)(105, 470)(106, 461)(107, 373)(108, 431)(109, 383)(110, 441)(111, 375)(112, 435)(113, 418)(114, 455)(115, 445)(116, 390)(117, 384)(118, 416)(119, 388)(120, 415)(121, 382)(122, 480)(123, 400)(124, 394)(125, 387)(126, 449)(127, 443)(128, 473)(129, 402)(130, 460)(131, 479)(132, 393)(133, 456)(134, 448)(135, 409)(136, 396)(137, 478)(138, 398)(139, 442)(140, 462)(141, 447)(142, 475)(143, 453)(144, 476)(145, 405)(146, 413)(147, 459)(148, 444)(149, 477)(150, 446)(151, 421)(152, 420)(153, 452)(154, 430)(155, 438)(156, 474)(157, 484)(158, 483)(159, 486)(160, 485)(161, 481)(162, 482)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2818
Graph:: bipartite
	v = 81 e = 324 f = 189
	degree seq :: [ 6^54, 12^27 ]

E28.2818 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : C3) x S3 (small group id <162, 35>)
Aut   = S3 x (((C3 x C3) : C3) : C2) (small group id <324, 122>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^6, (Y3 * Y2^-1)^3, Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3 * Y1^-1, (Y1^-2 * Y3^-1)^3, (Y3 * Y1^-2)^3, Y3 * Y1^-1 * Y3^-1 * Y1^-2 * Y3 * Y1 * Y3^-1 * Y1^2, Y3 * Y1^-2 * Y3^-1 * Y1 * Y3 * Y1^2 * Y3^-1 * Y1^-1, (Y3^-1 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 163, 2, 164, 6, 168, 16, 178, 12, 174, 4, 166)(3, 165, 9, 171, 23, 185, 59, 221, 27, 189, 10, 172)(5, 167, 14, 176, 35, 197, 84, 246, 39, 201, 15, 177)(7, 169, 19, 181, 47, 209, 107, 269, 51, 213, 20, 182)(8, 170, 21, 183, 53, 215, 115, 277, 57, 219, 22, 184)(11, 173, 29, 191, 70, 232, 128, 290, 73, 235, 30, 192)(13, 175, 33, 195, 79, 241, 140, 302, 82, 244, 34, 196)(17, 179, 43, 205, 91, 253, 149, 311, 100, 262, 44, 206)(18, 180, 45, 207, 66, 228, 132, 294, 105, 267, 46, 208)(24, 186, 62, 224, 126, 288, 148, 310, 111, 273, 50, 212)(25, 187, 63, 225, 98, 260, 81, 243, 119, 281, 56, 218)(26, 188, 64, 226, 130, 292, 146, 308, 97, 259, 65, 227)(28, 190, 68, 230, 101, 263, 54, 216, 117, 279, 69, 231)(31, 193, 75, 237, 136, 298, 145, 307, 86, 248, 76, 238)(32, 194, 77, 239, 137, 299, 124, 286, 60, 222, 78, 240)(36, 198, 87, 249, 102, 264, 74, 236, 114, 276, 52, 214)(37, 199, 88, 250, 139, 301, 133, 295, 122, 284, 58, 220)(38, 200, 71, 233, 104, 266, 49, 211, 110, 272, 89, 251)(40, 202, 80, 242, 143, 305, 129, 291, 103, 265, 92, 254)(41, 203, 93, 255, 121, 283, 157, 319, 142, 304, 94, 256)(42, 204, 95, 257, 112, 274, 156, 318, 134, 296, 96, 258)(48, 210, 109, 271, 72, 234, 135, 297, 151, 313, 99, 261)(55, 217, 118, 280, 83, 245, 138, 300, 154, 316, 106, 268)(61, 223, 108, 270, 90, 252, 120, 282, 153, 315, 125, 287)(67, 229, 113, 275, 152, 314, 141, 303, 85, 247, 116, 278)(123, 285, 150, 312, 155, 317, 162, 324, 160, 322, 147, 309)(127, 289, 144, 306, 131, 293, 158, 320, 161, 323, 159, 321)(325, 487)(326, 488)(327, 489)(328, 490)(329, 491)(330, 492)(331, 493)(332, 494)(333, 495)(334, 496)(335, 497)(336, 498)(337, 499)(338, 500)(339, 501)(340, 502)(341, 503)(342, 504)(343, 505)(344, 506)(345, 507)(346, 508)(347, 509)(348, 510)(349, 511)(350, 512)(351, 513)(352, 514)(353, 515)(354, 516)(355, 517)(356, 518)(357, 519)(358, 520)(359, 521)(360, 522)(361, 523)(362, 524)(363, 525)(364, 526)(365, 527)(366, 528)(367, 529)(368, 530)(369, 531)(370, 532)(371, 533)(372, 534)(373, 535)(374, 536)(375, 537)(376, 538)(377, 539)(378, 540)(379, 541)(380, 542)(381, 543)(382, 544)(383, 545)(384, 546)(385, 547)(386, 548)(387, 549)(388, 550)(389, 551)(390, 552)(391, 553)(392, 554)(393, 555)(394, 556)(395, 557)(396, 558)(397, 559)(398, 560)(399, 561)(400, 562)(401, 563)(402, 564)(403, 565)(404, 566)(405, 567)(406, 568)(407, 569)(408, 570)(409, 571)(410, 572)(411, 573)(412, 574)(413, 575)(414, 576)(415, 577)(416, 578)(417, 579)(418, 580)(419, 581)(420, 582)(421, 583)(422, 584)(423, 585)(424, 586)(425, 587)(426, 588)(427, 589)(428, 590)(429, 591)(430, 592)(431, 593)(432, 594)(433, 595)(434, 596)(435, 597)(436, 598)(437, 599)(438, 600)(439, 601)(440, 602)(441, 603)(442, 604)(443, 605)(444, 606)(445, 607)(446, 608)(447, 609)(448, 610)(449, 611)(450, 612)(451, 613)(452, 614)(453, 615)(454, 616)(455, 617)(456, 618)(457, 619)(458, 620)(459, 621)(460, 622)(461, 623)(462, 624)(463, 625)(464, 626)(465, 627)(466, 628)(467, 629)(468, 630)(469, 631)(470, 632)(471, 633)(472, 634)(473, 635)(474, 636)(475, 637)(476, 638)(477, 639)(478, 640)(479, 641)(480, 642)(481, 643)(482, 644)(483, 645)(484, 646)(485, 647)(486, 648)
	L = (1, 327)(2, 331)(3, 329)(4, 335)(5, 325)(6, 341)(7, 332)(8, 326)(9, 348)(10, 350)(11, 337)(12, 355)(13, 328)(14, 360)(15, 362)(16, 365)(17, 342)(18, 330)(19, 372)(20, 374)(21, 378)(22, 380)(23, 384)(24, 349)(25, 333)(26, 352)(27, 390)(28, 334)(29, 388)(30, 396)(31, 356)(32, 336)(33, 392)(34, 405)(35, 409)(36, 361)(37, 338)(38, 364)(39, 414)(40, 339)(41, 366)(42, 340)(43, 421)(44, 423)(45, 426)(46, 428)(47, 406)(48, 373)(49, 343)(50, 376)(51, 436)(52, 344)(53, 440)(54, 379)(55, 345)(56, 382)(57, 444)(58, 346)(59, 433)(60, 385)(61, 347)(62, 451)(63, 453)(64, 395)(65, 455)(66, 391)(67, 351)(68, 404)(69, 457)(70, 458)(71, 353)(72, 398)(73, 377)(74, 354)(75, 459)(76, 450)(77, 438)(78, 434)(79, 465)(80, 357)(81, 407)(82, 432)(83, 358)(84, 468)(85, 410)(86, 359)(87, 418)(88, 464)(89, 417)(90, 415)(91, 363)(92, 439)(93, 472)(94, 470)(95, 393)(96, 387)(97, 422)(98, 367)(99, 425)(100, 461)(101, 368)(102, 427)(103, 369)(104, 430)(105, 477)(106, 370)(107, 389)(108, 371)(109, 447)(110, 463)(111, 479)(112, 437)(113, 375)(114, 462)(115, 474)(116, 397)(117, 400)(118, 408)(119, 399)(120, 445)(121, 381)(122, 456)(123, 383)(124, 483)(125, 394)(126, 441)(127, 452)(128, 386)(129, 420)(130, 484)(131, 431)(132, 482)(133, 419)(134, 449)(135, 443)(136, 429)(137, 476)(138, 401)(139, 402)(140, 471)(141, 466)(142, 403)(143, 448)(144, 442)(145, 454)(146, 411)(147, 412)(148, 413)(149, 435)(150, 416)(151, 485)(152, 424)(153, 460)(154, 480)(155, 473)(156, 486)(157, 475)(158, 446)(159, 467)(160, 469)(161, 481)(162, 478)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2817
Graph:: simple bipartite
	v = 189 e = 324 f = 81
	degree seq :: [ 2^162, 12^27 ]

E28.2819 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 9, 18})
Quotient :: regular
Aut^+ = C9 x D18 (small group id <162, 3>)
Aut   = D18 x D18 (small group id <324, 36>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^2 * T2 * T1^-1, T1^18, (T1^-1 * T2)^9 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 20, 32, 47, 65, 86, 110, 109, 85, 64, 46, 31, 19, 10, 4)(3, 7, 12, 22, 33, 49, 66, 88, 111, 135, 130, 104, 81, 60, 43, 28, 17, 8)(6, 13, 21, 34, 48, 67, 87, 112, 134, 133, 108, 84, 63, 45, 30, 18, 9, 14)(15, 25, 35, 51, 68, 90, 113, 137, 152, 149, 129, 103, 80, 59, 42, 27, 16, 26)(23, 36, 50, 69, 89, 114, 136, 153, 151, 132, 107, 83, 62, 44, 29, 38, 24, 37)(39, 55, 70, 92, 115, 139, 154, 162, 160, 148, 128, 102, 79, 58, 41, 57, 40, 56)(52, 71, 91, 116, 138, 155, 161, 159, 150, 131, 106, 82, 61, 74, 54, 73, 53, 72)(75, 97, 117, 141, 156, 144, 158, 143, 157, 142, 127, 101, 78, 100, 77, 99, 76, 98)(93, 118, 140, 126, 147, 125, 146, 124, 145, 123, 105, 122, 96, 121, 95, 120, 94, 119)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 21)(13, 23)(14, 24)(18, 29)(19, 30)(20, 33)(22, 35)(25, 39)(26, 40)(27, 41)(28, 42)(31, 43)(32, 48)(34, 50)(36, 52)(37, 53)(38, 54)(44, 61)(45, 62)(46, 63)(47, 66)(49, 68)(51, 70)(55, 75)(56, 76)(57, 77)(58, 78)(59, 79)(60, 80)(64, 81)(65, 87)(67, 89)(69, 91)(71, 93)(72, 94)(73, 95)(74, 96)(82, 105)(83, 106)(84, 107)(85, 108)(86, 111)(88, 113)(90, 115)(92, 117)(97, 123)(98, 124)(99, 125)(100, 126)(101, 118)(102, 127)(103, 128)(104, 129)(109, 130)(110, 134)(112, 136)(114, 138)(116, 140)(119, 142)(120, 143)(121, 144)(122, 141)(131, 145)(132, 150)(133, 151)(135, 152)(137, 154)(139, 156)(146, 159)(147, 155)(148, 157)(149, 160)(153, 161)(158, 162)
	local type(s) :: { ( 9^18 ) }
Outer automorphisms :: reflexible
Dual of E28.2820
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 9 e = 81 f = 18
	degree seq :: [ 18^9 ]

E28.2820 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 9, 18})
Quotient :: regular
Aut^+ = C9 x D18 (small group id <162, 3>)
Aut   = D18 x D18 (small group id <324, 36>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1^9, T1^-2 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^2 * T2, T1^-3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^-3 * T2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 42, 22, 10, 4)(3, 7, 15, 31, 54, 61, 36, 18, 8)(6, 13, 27, 50, 79, 82, 53, 30, 14)(9, 19, 37, 62, 91, 92, 63, 38, 20)(12, 25, 46, 75, 107, 110, 78, 49, 26)(16, 28, 47, 72, 100, 116, 86, 57, 33)(17, 29, 48, 73, 101, 117, 87, 58, 34)(21, 39, 64, 93, 121, 122, 94, 65, 40)(24, 44, 71, 103, 131, 134, 106, 74, 45)(32, 51, 76, 104, 128, 139, 115, 85, 56)(35, 52, 77, 105, 129, 140, 118, 88, 59)(41, 66, 95, 123, 143, 144, 124, 96, 67)(43, 69, 99, 127, 147, 150, 130, 102, 70)(55, 80, 108, 132, 148, 154, 138, 114, 84)(60, 81, 109, 133, 149, 155, 141, 119, 89)(68, 97, 125, 145, 157, 158, 146, 126, 98)(83, 111, 135, 151, 159, 161, 153, 137, 113)(90, 112, 136, 152, 160, 162, 156, 142, 120)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 35)(19, 33)(20, 34)(22, 41)(23, 43)(25, 47)(26, 48)(27, 51)(30, 52)(31, 55)(36, 60)(37, 56)(38, 59)(39, 57)(40, 58)(42, 68)(44, 72)(45, 73)(46, 76)(49, 77)(50, 80)(53, 81)(54, 83)(61, 90)(62, 84)(63, 89)(64, 85)(65, 88)(66, 86)(67, 87)(69, 100)(70, 101)(71, 104)(74, 105)(75, 108)(78, 109)(79, 111)(82, 112)(91, 113)(92, 120)(93, 114)(94, 119)(95, 115)(96, 118)(97, 116)(98, 117)(99, 128)(102, 129)(103, 132)(106, 133)(107, 135)(110, 136)(121, 137)(122, 142)(123, 138)(124, 141)(125, 139)(126, 140)(127, 148)(130, 149)(131, 151)(134, 152)(143, 153)(144, 156)(145, 154)(146, 155)(147, 159)(150, 160)(157, 161)(158, 162)
	local type(s) :: { ( 18^9 ) }
Outer automorphisms :: reflexible
Dual of E28.2819
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 18 e = 81 f = 9
	degree seq :: [ 9^18 ]

E28.2821 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 9, 18})
Quotient :: edge
Aut^+ = C9 x D18 (small group id <162, 3>)
Aut   = D18 x D18 (small group id <324, 36>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1, T2^9, T2^2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^-2 * T1, T2^3 * T1 * T2^3 * T1 * T2^-3 * T1 * T2^-3 * T1, T2^4 * T1 * T2^4 * T1 * T2^-4 * T1 * T2^-4 * T1 ]
Map:: polytopal
	R = (1, 3, 8, 18, 36, 42, 22, 10, 4)(2, 5, 12, 26, 48, 54, 30, 14, 6)(7, 15, 31, 55, 83, 84, 56, 32, 16)(9, 19, 37, 62, 91, 92, 63, 38, 20)(11, 23, 43, 69, 99, 100, 70, 44, 24)(13, 27, 49, 76, 107, 108, 77, 50, 28)(17, 33, 57, 85, 115, 116, 86, 58, 34)(21, 39, 64, 93, 121, 122, 94, 65, 40)(25, 45, 71, 101, 127, 128, 102, 72, 46)(29, 51, 78, 109, 133, 134, 110, 79, 52)(35, 59, 87, 117, 139, 140, 118, 88, 60)(41, 66, 95, 123, 143, 144, 124, 96, 67)(47, 73, 103, 129, 147, 148, 130, 104, 74)(53, 80, 111, 135, 151, 152, 136, 112, 81)(61, 89, 119, 141, 155, 156, 142, 120, 90)(68, 97, 125, 145, 157, 158, 146, 126, 98)(75, 105, 131, 149, 159, 160, 150, 132, 106)(82, 113, 137, 153, 161, 162, 154, 138, 114)(163, 164)(165, 169)(166, 171)(167, 173)(168, 175)(170, 179)(172, 183)(174, 187)(176, 191)(177, 185)(178, 189)(180, 197)(181, 186)(182, 190)(184, 203)(188, 209)(192, 215)(193, 207)(194, 213)(195, 205)(196, 211)(198, 223)(199, 208)(200, 214)(201, 206)(202, 212)(204, 230)(210, 237)(216, 244)(217, 235)(218, 242)(219, 233)(220, 240)(221, 231)(222, 238)(224, 236)(225, 243)(226, 234)(227, 241)(228, 232)(229, 239)(245, 267)(246, 275)(247, 265)(248, 273)(249, 263)(250, 271)(251, 261)(252, 269)(253, 268)(254, 276)(255, 266)(256, 274)(257, 264)(258, 272)(259, 262)(260, 270)(277, 293)(278, 299)(279, 291)(280, 297)(281, 289)(282, 295)(283, 294)(284, 300)(285, 292)(286, 298)(287, 290)(288, 296)(301, 311)(302, 315)(303, 309)(304, 313)(305, 312)(306, 316)(307, 310)(308, 314)(317, 321)(318, 323)(319, 322)(320, 324)
	L = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 36, 36 ), ( 36^9 ) }
Outer automorphisms :: reflexible
Dual of E28.2825
Transitivity :: ET+
Graph:: simple bipartite
	v = 99 e = 162 f = 9
	degree seq :: [ 2^81, 9^18 ]

E28.2822 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 9, 18})
Quotient :: edge
Aut^+ = C9 x D18 (small group id <162, 3>)
Aut   = D18 x D18 (small group id <324, 36>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2^-3 * T1^-1 * T2, T2^-2 * T1^-1 * T2 * T1^-1 * T2^-1, T1^9, T2 * T1^-4 * T2^2 * T1^-3 * T2 * T1^2, T1^-1 * T2 * T1^-1 * T2^15 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 48, 78, 111, 137, 154, 160, 151, 130, 103, 68, 44, 21, 15, 5)(2, 7, 19, 11, 27, 49, 80, 112, 139, 155, 161, 148, 131, 98, 69, 39, 22, 8)(4, 12, 26, 50, 79, 113, 138, 156, 162, 150, 133, 102, 73, 43, 33, 14, 24, 9)(6, 17, 37, 20, 41, 28, 52, 81, 115, 140, 158, 159, 149, 126, 99, 64, 40, 18)(13, 30, 51, 82, 114, 141, 157, 147, 152, 132, 106, 72, 59, 32, 47, 23, 46, 29)(16, 35, 62, 38, 66, 42, 70, 53, 84, 116, 143, 144, 153, 145, 127, 94, 65, 36)(31, 56, 83, 117, 142, 125, 146, 129, 134, 105, 91, 58, 76, 45, 75, 54, 77, 55)(34, 60, 92, 63, 96, 67, 100, 71, 104, 85, 119, 120, 135, 121, 136, 122, 95, 61)(57, 89, 118, 93, 124, 97, 128, 101, 123, 90, 108, 74, 107, 86, 109, 87, 110, 88)(163, 164, 168, 178, 196, 219, 193, 175, 166)(165, 171, 185, 207, 236, 247, 215, 190, 173)(167, 176, 194, 220, 252, 233, 204, 182, 169)(170, 183, 205, 234, 267, 263, 229, 200, 179)(172, 181, 199, 224, 254, 280, 245, 213, 188)(174, 191, 216, 248, 282, 278, 243, 211, 187)(177, 184, 202, 227, 257, 272, 239, 208, 186)(180, 201, 230, 264, 294, 291, 259, 225, 197)(189, 203, 228, 258, 286, 304, 276, 241, 210)(192, 217, 249, 283, 306, 302, 274, 240, 212)(195, 206, 231, 261, 289, 298, 271, 237, 209)(198, 226, 260, 292, 312, 309, 287, 255, 222)(214, 232, 262, 290, 308, 319, 300, 273, 242)(218, 250, 284, 307, 321, 317, 299, 275, 244)(221, 235, 265, 293, 311, 315, 297, 269, 238)(223, 256, 288, 310, 322, 318, 303, 279, 251)(246, 266, 285, 296, 314, 324, 316, 301, 277)(253, 268, 295, 313, 323, 320, 305, 281, 270)
	L = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 4^9 ), ( 4^18 ) }
Outer automorphisms :: reflexible
Dual of E28.2826
Transitivity :: ET+
Graph:: simple bipartite
	v = 27 e = 162 f = 81
	degree seq :: [ 9^18, 18^9 ]

E28.2823 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 9, 18})
Quotient :: edge
Aut^+ = C9 x D18 (small group id <162, 3>)
Aut   = D18 x D18 (small group id <324, 36>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^2 * T2 * T1^-1, (T2 * T1^-1)^9, T1^18 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 21)(13, 23)(14, 24)(18, 29)(19, 30)(20, 33)(22, 35)(25, 39)(26, 40)(27, 41)(28, 42)(31, 43)(32, 48)(34, 50)(36, 52)(37, 53)(38, 54)(44, 61)(45, 62)(46, 63)(47, 66)(49, 68)(51, 70)(55, 75)(56, 76)(57, 77)(58, 78)(59, 79)(60, 80)(64, 81)(65, 87)(67, 89)(69, 91)(71, 93)(72, 94)(73, 95)(74, 96)(82, 105)(83, 106)(84, 107)(85, 108)(86, 111)(88, 113)(90, 115)(92, 117)(97, 123)(98, 124)(99, 125)(100, 126)(101, 118)(102, 127)(103, 128)(104, 129)(109, 130)(110, 134)(112, 136)(114, 138)(116, 140)(119, 142)(120, 143)(121, 144)(122, 141)(131, 145)(132, 150)(133, 151)(135, 152)(137, 154)(139, 156)(146, 159)(147, 155)(148, 157)(149, 160)(153, 161)(158, 162)(163, 164, 167, 173, 182, 194, 209, 227, 248, 272, 271, 247, 226, 208, 193, 181, 172, 166)(165, 169, 174, 184, 195, 211, 228, 250, 273, 297, 292, 266, 243, 222, 205, 190, 179, 170)(168, 175, 183, 196, 210, 229, 249, 274, 296, 295, 270, 246, 225, 207, 192, 180, 171, 176)(177, 187, 197, 213, 230, 252, 275, 299, 314, 311, 291, 265, 242, 221, 204, 189, 178, 188)(185, 198, 212, 231, 251, 276, 298, 315, 313, 294, 269, 245, 224, 206, 191, 200, 186, 199)(201, 217, 232, 254, 277, 301, 316, 324, 322, 310, 290, 264, 241, 220, 203, 219, 202, 218)(214, 233, 253, 278, 300, 317, 323, 321, 312, 293, 268, 244, 223, 236, 216, 235, 215, 234)(237, 259, 279, 303, 318, 306, 320, 305, 319, 304, 289, 263, 240, 262, 239, 261, 238, 260)(255, 280, 302, 288, 309, 287, 308, 286, 307, 285, 267, 284, 258, 283, 257, 282, 256, 281)
	L = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 18, 18 ), ( 18^18 ) }
Outer automorphisms :: reflexible
Dual of E28.2824
Transitivity :: ET+
Graph:: simple bipartite
	v = 90 e = 162 f = 18
	degree seq :: [ 2^81, 18^9 ]

E28.2824 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 9, 18})
Quotient :: loop
Aut^+ = C9 x D18 (small group id <162, 3>)
Aut   = D18 x D18 (small group id <324, 36>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1, T2^9, T2^2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^-2 * T1, T2^3 * T1 * T2^3 * T1 * T2^-3 * T1 * T2^-3 * T1, T2^4 * T1 * T2^4 * T1 * T2^-4 * T1 * T2^-4 * T1 ]
Map::
	R = (1, 163, 3, 165, 8, 170, 18, 180, 36, 198, 42, 204, 22, 184, 10, 172, 4, 166)(2, 164, 5, 167, 12, 174, 26, 188, 48, 210, 54, 216, 30, 192, 14, 176, 6, 168)(7, 169, 15, 177, 31, 193, 55, 217, 83, 245, 84, 246, 56, 218, 32, 194, 16, 178)(9, 171, 19, 181, 37, 199, 62, 224, 91, 253, 92, 254, 63, 225, 38, 200, 20, 182)(11, 173, 23, 185, 43, 205, 69, 231, 99, 261, 100, 262, 70, 232, 44, 206, 24, 186)(13, 175, 27, 189, 49, 211, 76, 238, 107, 269, 108, 270, 77, 239, 50, 212, 28, 190)(17, 179, 33, 195, 57, 219, 85, 247, 115, 277, 116, 278, 86, 248, 58, 220, 34, 196)(21, 183, 39, 201, 64, 226, 93, 255, 121, 283, 122, 284, 94, 256, 65, 227, 40, 202)(25, 187, 45, 207, 71, 233, 101, 263, 127, 289, 128, 290, 102, 264, 72, 234, 46, 208)(29, 191, 51, 213, 78, 240, 109, 271, 133, 295, 134, 296, 110, 272, 79, 241, 52, 214)(35, 197, 59, 221, 87, 249, 117, 279, 139, 301, 140, 302, 118, 280, 88, 250, 60, 222)(41, 203, 66, 228, 95, 257, 123, 285, 143, 305, 144, 306, 124, 286, 96, 258, 67, 229)(47, 209, 73, 235, 103, 265, 129, 291, 147, 309, 148, 310, 130, 292, 104, 266, 74, 236)(53, 215, 80, 242, 111, 273, 135, 297, 151, 313, 152, 314, 136, 298, 112, 274, 81, 243)(61, 223, 89, 251, 119, 281, 141, 303, 155, 317, 156, 318, 142, 304, 120, 282, 90, 252)(68, 230, 97, 259, 125, 287, 145, 307, 157, 319, 158, 320, 146, 308, 126, 288, 98, 260)(75, 237, 105, 267, 131, 293, 149, 311, 159, 321, 160, 322, 150, 312, 132, 294, 106, 268)(82, 244, 113, 275, 137, 299, 153, 315, 161, 323, 162, 324, 154, 316, 138, 300, 114, 276)
	L = (1, 164)(2, 163)(3, 169)(4, 171)(5, 173)(6, 175)(7, 165)(8, 179)(9, 166)(10, 183)(11, 167)(12, 187)(13, 168)(14, 191)(15, 185)(16, 189)(17, 170)(18, 197)(19, 186)(20, 190)(21, 172)(22, 203)(23, 177)(24, 181)(25, 174)(26, 209)(27, 178)(28, 182)(29, 176)(30, 215)(31, 207)(32, 213)(33, 205)(34, 211)(35, 180)(36, 223)(37, 208)(38, 214)(39, 206)(40, 212)(41, 184)(42, 230)(43, 195)(44, 201)(45, 193)(46, 199)(47, 188)(48, 237)(49, 196)(50, 202)(51, 194)(52, 200)(53, 192)(54, 244)(55, 235)(56, 242)(57, 233)(58, 240)(59, 231)(60, 238)(61, 198)(62, 236)(63, 243)(64, 234)(65, 241)(66, 232)(67, 239)(68, 204)(69, 221)(70, 228)(71, 219)(72, 226)(73, 217)(74, 224)(75, 210)(76, 222)(77, 229)(78, 220)(79, 227)(80, 218)(81, 225)(82, 216)(83, 267)(84, 275)(85, 265)(86, 273)(87, 263)(88, 271)(89, 261)(90, 269)(91, 268)(92, 276)(93, 266)(94, 274)(95, 264)(96, 272)(97, 262)(98, 270)(99, 251)(100, 259)(101, 249)(102, 257)(103, 247)(104, 255)(105, 245)(106, 253)(107, 252)(108, 260)(109, 250)(110, 258)(111, 248)(112, 256)(113, 246)(114, 254)(115, 293)(116, 299)(117, 291)(118, 297)(119, 289)(120, 295)(121, 294)(122, 300)(123, 292)(124, 298)(125, 290)(126, 296)(127, 281)(128, 287)(129, 279)(130, 285)(131, 277)(132, 283)(133, 282)(134, 288)(135, 280)(136, 286)(137, 278)(138, 284)(139, 311)(140, 315)(141, 309)(142, 313)(143, 312)(144, 316)(145, 310)(146, 314)(147, 303)(148, 307)(149, 301)(150, 305)(151, 304)(152, 308)(153, 302)(154, 306)(155, 321)(156, 323)(157, 322)(158, 324)(159, 317)(160, 319)(161, 318)(162, 320)
	local type(s) :: { ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.2823
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 18 e = 162 f = 90
	degree seq :: [ 18^18 ]

E28.2825 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 9, 18})
Quotient :: loop
Aut^+ = C9 x D18 (small group id <162, 3>)
Aut   = D18 x D18 (small group id <324, 36>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2^-3 * T1^-1 * T2, T2^-2 * T1^-1 * T2 * T1^-1 * T2^-1, T1^9, T2 * T1^-4 * T2^2 * T1^-3 * T2 * T1^2, T1^-1 * T2 * T1^-1 * T2^15 ]
Map::
	R = (1, 163, 3, 165, 10, 172, 25, 187, 48, 210, 78, 240, 111, 273, 137, 299, 154, 316, 160, 322, 151, 313, 130, 292, 103, 265, 68, 230, 44, 206, 21, 183, 15, 177, 5, 167)(2, 164, 7, 169, 19, 181, 11, 173, 27, 189, 49, 211, 80, 242, 112, 274, 139, 301, 155, 317, 161, 323, 148, 310, 131, 293, 98, 260, 69, 231, 39, 201, 22, 184, 8, 170)(4, 166, 12, 174, 26, 188, 50, 212, 79, 241, 113, 275, 138, 300, 156, 318, 162, 324, 150, 312, 133, 295, 102, 264, 73, 235, 43, 205, 33, 195, 14, 176, 24, 186, 9, 171)(6, 168, 17, 179, 37, 199, 20, 182, 41, 203, 28, 190, 52, 214, 81, 243, 115, 277, 140, 302, 158, 320, 159, 321, 149, 311, 126, 288, 99, 261, 64, 226, 40, 202, 18, 180)(13, 175, 30, 192, 51, 213, 82, 244, 114, 276, 141, 303, 157, 319, 147, 309, 152, 314, 132, 294, 106, 268, 72, 234, 59, 221, 32, 194, 47, 209, 23, 185, 46, 208, 29, 191)(16, 178, 35, 197, 62, 224, 38, 200, 66, 228, 42, 204, 70, 232, 53, 215, 84, 246, 116, 278, 143, 305, 144, 306, 153, 315, 145, 307, 127, 289, 94, 256, 65, 227, 36, 198)(31, 193, 56, 218, 83, 245, 117, 279, 142, 304, 125, 287, 146, 308, 129, 291, 134, 296, 105, 267, 91, 253, 58, 220, 76, 238, 45, 207, 75, 237, 54, 216, 77, 239, 55, 217)(34, 196, 60, 222, 92, 254, 63, 225, 96, 258, 67, 229, 100, 262, 71, 233, 104, 266, 85, 247, 119, 281, 120, 282, 135, 297, 121, 283, 136, 298, 122, 284, 95, 257, 61, 223)(57, 219, 89, 251, 118, 280, 93, 255, 124, 286, 97, 259, 128, 290, 101, 263, 123, 285, 90, 252, 108, 270, 74, 236, 107, 269, 86, 248, 109, 271, 87, 249, 110, 272, 88, 250)
	L = (1, 164)(2, 168)(3, 171)(4, 163)(5, 176)(6, 178)(7, 167)(8, 183)(9, 185)(10, 181)(11, 165)(12, 191)(13, 166)(14, 194)(15, 184)(16, 196)(17, 170)(18, 201)(19, 199)(20, 169)(21, 205)(22, 202)(23, 207)(24, 177)(25, 174)(26, 172)(27, 203)(28, 173)(29, 216)(30, 217)(31, 175)(32, 220)(33, 206)(34, 219)(35, 180)(36, 226)(37, 224)(38, 179)(39, 230)(40, 227)(41, 228)(42, 182)(43, 234)(44, 231)(45, 236)(46, 186)(47, 195)(48, 189)(49, 187)(50, 192)(51, 188)(52, 232)(53, 190)(54, 248)(55, 249)(56, 250)(57, 193)(58, 252)(59, 235)(60, 198)(61, 256)(62, 254)(63, 197)(64, 260)(65, 257)(66, 258)(67, 200)(68, 264)(69, 261)(70, 262)(71, 204)(72, 267)(73, 265)(74, 247)(75, 209)(76, 221)(77, 208)(78, 212)(79, 210)(80, 214)(81, 211)(82, 218)(83, 213)(84, 266)(85, 215)(86, 282)(87, 283)(88, 284)(89, 223)(90, 233)(91, 268)(92, 280)(93, 222)(94, 288)(95, 272)(96, 286)(97, 225)(98, 292)(99, 289)(100, 290)(101, 229)(102, 294)(103, 293)(104, 285)(105, 263)(106, 295)(107, 238)(108, 253)(109, 237)(110, 239)(111, 242)(112, 240)(113, 244)(114, 241)(115, 246)(116, 243)(117, 251)(118, 245)(119, 270)(120, 278)(121, 306)(122, 307)(123, 296)(124, 304)(125, 255)(126, 310)(127, 298)(128, 308)(129, 259)(130, 312)(131, 311)(132, 291)(133, 313)(134, 314)(135, 269)(136, 271)(137, 275)(138, 273)(139, 277)(140, 274)(141, 279)(142, 276)(143, 281)(144, 302)(145, 321)(146, 319)(147, 287)(148, 322)(149, 315)(150, 309)(151, 323)(152, 324)(153, 297)(154, 301)(155, 299)(156, 303)(157, 300)(158, 305)(159, 317)(160, 318)(161, 320)(162, 316)
	local type(s) :: { ( 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9 ) }
Outer automorphisms :: reflexible
Dual of E28.2821
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 162 f = 99
	degree seq :: [ 36^9 ]

E28.2826 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 9, 18})
Quotient :: loop
Aut^+ = C9 x D18 (small group id <162, 3>)
Aut   = D18 x D18 (small group id <324, 36>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^2 * T2 * T1^-1, (T2 * T1^-1)^9, T1^18 ]
Map:: polytopal non-degenerate
	R = (1, 163, 3, 165)(2, 164, 6, 168)(4, 166, 9, 171)(5, 167, 12, 174)(7, 169, 15, 177)(8, 170, 16, 178)(10, 172, 17, 179)(11, 173, 21, 183)(13, 175, 23, 185)(14, 176, 24, 186)(18, 180, 29, 191)(19, 181, 30, 192)(20, 182, 33, 195)(22, 184, 35, 197)(25, 187, 39, 201)(26, 188, 40, 202)(27, 189, 41, 203)(28, 190, 42, 204)(31, 193, 43, 205)(32, 194, 48, 210)(34, 196, 50, 212)(36, 198, 52, 214)(37, 199, 53, 215)(38, 200, 54, 216)(44, 206, 61, 223)(45, 207, 62, 224)(46, 208, 63, 225)(47, 209, 66, 228)(49, 211, 68, 230)(51, 213, 70, 232)(55, 217, 75, 237)(56, 218, 76, 238)(57, 219, 77, 239)(58, 220, 78, 240)(59, 221, 79, 241)(60, 222, 80, 242)(64, 226, 81, 243)(65, 227, 87, 249)(67, 229, 89, 251)(69, 231, 91, 253)(71, 233, 93, 255)(72, 234, 94, 256)(73, 235, 95, 257)(74, 236, 96, 258)(82, 244, 105, 267)(83, 245, 106, 268)(84, 246, 107, 269)(85, 247, 108, 270)(86, 248, 111, 273)(88, 250, 113, 275)(90, 252, 115, 277)(92, 254, 117, 279)(97, 259, 123, 285)(98, 260, 124, 286)(99, 261, 125, 287)(100, 262, 126, 288)(101, 263, 118, 280)(102, 264, 127, 289)(103, 265, 128, 290)(104, 266, 129, 291)(109, 271, 130, 292)(110, 272, 134, 296)(112, 274, 136, 298)(114, 276, 138, 300)(116, 278, 140, 302)(119, 281, 142, 304)(120, 282, 143, 305)(121, 283, 144, 306)(122, 284, 141, 303)(131, 293, 145, 307)(132, 294, 150, 312)(133, 295, 151, 313)(135, 297, 152, 314)(137, 299, 154, 316)(139, 301, 156, 318)(146, 308, 159, 321)(147, 309, 155, 317)(148, 310, 157, 319)(149, 311, 160, 322)(153, 315, 161, 323)(158, 320, 162, 324)
	L = (1, 164)(2, 167)(3, 169)(4, 163)(5, 173)(6, 175)(7, 174)(8, 165)(9, 176)(10, 166)(11, 182)(12, 184)(13, 183)(14, 168)(15, 187)(16, 188)(17, 170)(18, 171)(19, 172)(20, 194)(21, 196)(22, 195)(23, 198)(24, 199)(25, 197)(26, 177)(27, 178)(28, 179)(29, 200)(30, 180)(31, 181)(32, 209)(33, 211)(34, 210)(35, 213)(36, 212)(37, 185)(38, 186)(39, 217)(40, 218)(41, 219)(42, 189)(43, 190)(44, 191)(45, 192)(46, 193)(47, 227)(48, 229)(49, 228)(50, 231)(51, 230)(52, 233)(53, 234)(54, 235)(55, 232)(56, 201)(57, 202)(58, 203)(59, 204)(60, 205)(61, 236)(62, 206)(63, 207)(64, 208)(65, 248)(66, 250)(67, 249)(68, 252)(69, 251)(70, 254)(71, 253)(72, 214)(73, 215)(74, 216)(75, 259)(76, 260)(77, 261)(78, 262)(79, 220)(80, 221)(81, 222)(82, 223)(83, 224)(84, 225)(85, 226)(86, 272)(87, 274)(88, 273)(89, 276)(90, 275)(91, 278)(92, 277)(93, 280)(94, 281)(95, 282)(96, 283)(97, 279)(98, 237)(99, 238)(100, 239)(101, 240)(102, 241)(103, 242)(104, 243)(105, 284)(106, 244)(107, 245)(108, 246)(109, 247)(110, 271)(111, 297)(112, 296)(113, 299)(114, 298)(115, 301)(116, 300)(117, 303)(118, 302)(119, 255)(120, 256)(121, 257)(122, 258)(123, 267)(124, 307)(125, 308)(126, 309)(127, 263)(128, 264)(129, 265)(130, 266)(131, 268)(132, 269)(133, 270)(134, 295)(135, 292)(136, 315)(137, 314)(138, 317)(139, 316)(140, 288)(141, 318)(142, 289)(143, 319)(144, 320)(145, 285)(146, 286)(147, 287)(148, 290)(149, 291)(150, 293)(151, 294)(152, 311)(153, 313)(154, 324)(155, 323)(156, 306)(157, 304)(158, 305)(159, 312)(160, 310)(161, 321)(162, 322)
	local type(s) :: { ( 9, 18, 9, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.2822
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 81 e = 162 f = 27
	degree seq :: [ 4^81 ]

E28.2827 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 9, 18})
Quotient :: dipole
Aut^+ = C9 x D18 (small group id <162, 3>)
Aut   = D18 x D18 (small group id <324, 36>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1, Y2^9, Y2^-2 * Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1, Y2^-3 * Y1 * Y2^3 * Y1 * Y2^3 * Y1 * Y2^-3 * Y1, Y2^4 * Y1 * Y2^4 * Y1 * Y2^-4 * Y1 * Y2^-4 * Y1, (Y3 * Y2^-1)^18 ]
Map::
	R = (1, 163, 2, 164)(3, 165, 7, 169)(4, 166, 9, 171)(5, 167, 11, 173)(6, 168, 13, 175)(8, 170, 17, 179)(10, 172, 21, 183)(12, 174, 25, 187)(14, 176, 29, 191)(15, 177, 23, 185)(16, 178, 27, 189)(18, 180, 35, 197)(19, 181, 24, 186)(20, 182, 28, 190)(22, 184, 41, 203)(26, 188, 47, 209)(30, 192, 53, 215)(31, 193, 45, 207)(32, 194, 51, 213)(33, 195, 43, 205)(34, 196, 49, 211)(36, 198, 61, 223)(37, 199, 46, 208)(38, 200, 52, 214)(39, 201, 44, 206)(40, 202, 50, 212)(42, 204, 68, 230)(48, 210, 75, 237)(54, 216, 82, 244)(55, 217, 73, 235)(56, 218, 80, 242)(57, 219, 71, 233)(58, 220, 78, 240)(59, 221, 69, 231)(60, 222, 76, 238)(62, 224, 74, 236)(63, 225, 81, 243)(64, 226, 72, 234)(65, 227, 79, 241)(66, 228, 70, 232)(67, 229, 77, 239)(83, 245, 105, 267)(84, 246, 113, 275)(85, 247, 103, 265)(86, 248, 111, 273)(87, 249, 101, 263)(88, 250, 109, 271)(89, 251, 99, 261)(90, 252, 107, 269)(91, 253, 106, 268)(92, 254, 114, 276)(93, 255, 104, 266)(94, 256, 112, 274)(95, 257, 102, 264)(96, 258, 110, 272)(97, 259, 100, 262)(98, 260, 108, 270)(115, 277, 131, 293)(116, 278, 137, 299)(117, 279, 129, 291)(118, 280, 135, 297)(119, 281, 127, 289)(120, 282, 133, 295)(121, 283, 132, 294)(122, 284, 138, 300)(123, 285, 130, 292)(124, 286, 136, 298)(125, 287, 128, 290)(126, 288, 134, 296)(139, 301, 149, 311)(140, 302, 153, 315)(141, 303, 147, 309)(142, 304, 151, 313)(143, 305, 150, 312)(144, 306, 154, 316)(145, 307, 148, 310)(146, 308, 152, 314)(155, 317, 159, 321)(156, 318, 161, 323)(157, 319, 160, 322)(158, 320, 162, 324)(325, 487, 327, 489, 332, 494, 342, 504, 360, 522, 366, 528, 346, 508, 334, 496, 328, 490)(326, 488, 329, 491, 336, 498, 350, 512, 372, 534, 378, 540, 354, 516, 338, 500, 330, 492)(331, 493, 339, 501, 355, 517, 379, 541, 407, 569, 408, 570, 380, 542, 356, 518, 340, 502)(333, 495, 343, 505, 361, 523, 386, 548, 415, 577, 416, 578, 387, 549, 362, 524, 344, 506)(335, 497, 347, 509, 367, 529, 393, 555, 423, 585, 424, 586, 394, 556, 368, 530, 348, 510)(337, 499, 351, 513, 373, 535, 400, 562, 431, 593, 432, 594, 401, 563, 374, 536, 352, 514)(341, 503, 357, 519, 381, 543, 409, 571, 439, 601, 440, 602, 410, 572, 382, 544, 358, 520)(345, 507, 363, 525, 388, 550, 417, 579, 445, 607, 446, 608, 418, 580, 389, 551, 364, 526)(349, 511, 369, 531, 395, 557, 425, 587, 451, 613, 452, 614, 426, 588, 396, 558, 370, 532)(353, 515, 375, 537, 402, 564, 433, 595, 457, 619, 458, 620, 434, 596, 403, 565, 376, 538)(359, 521, 383, 545, 411, 573, 441, 603, 463, 625, 464, 626, 442, 604, 412, 574, 384, 546)(365, 527, 390, 552, 419, 581, 447, 609, 467, 629, 468, 630, 448, 610, 420, 582, 391, 553)(371, 533, 397, 559, 427, 589, 453, 615, 471, 633, 472, 634, 454, 616, 428, 590, 398, 560)(377, 539, 404, 566, 435, 597, 459, 621, 475, 637, 476, 638, 460, 622, 436, 598, 405, 567)(385, 547, 413, 575, 443, 605, 465, 627, 479, 641, 480, 642, 466, 628, 444, 606, 414, 576)(392, 554, 421, 583, 449, 611, 469, 631, 481, 643, 482, 644, 470, 632, 450, 612, 422, 584)(399, 561, 429, 591, 455, 617, 473, 635, 483, 645, 484, 646, 474, 636, 456, 618, 430, 592)(406, 568, 437, 599, 461, 623, 477, 639, 485, 647, 486, 648, 478, 640, 462, 624, 438, 600)
	L = (1, 326)(2, 325)(3, 331)(4, 333)(5, 335)(6, 337)(7, 327)(8, 341)(9, 328)(10, 345)(11, 329)(12, 349)(13, 330)(14, 353)(15, 347)(16, 351)(17, 332)(18, 359)(19, 348)(20, 352)(21, 334)(22, 365)(23, 339)(24, 343)(25, 336)(26, 371)(27, 340)(28, 344)(29, 338)(30, 377)(31, 369)(32, 375)(33, 367)(34, 373)(35, 342)(36, 385)(37, 370)(38, 376)(39, 368)(40, 374)(41, 346)(42, 392)(43, 357)(44, 363)(45, 355)(46, 361)(47, 350)(48, 399)(49, 358)(50, 364)(51, 356)(52, 362)(53, 354)(54, 406)(55, 397)(56, 404)(57, 395)(58, 402)(59, 393)(60, 400)(61, 360)(62, 398)(63, 405)(64, 396)(65, 403)(66, 394)(67, 401)(68, 366)(69, 383)(70, 390)(71, 381)(72, 388)(73, 379)(74, 386)(75, 372)(76, 384)(77, 391)(78, 382)(79, 389)(80, 380)(81, 387)(82, 378)(83, 429)(84, 437)(85, 427)(86, 435)(87, 425)(88, 433)(89, 423)(90, 431)(91, 430)(92, 438)(93, 428)(94, 436)(95, 426)(96, 434)(97, 424)(98, 432)(99, 413)(100, 421)(101, 411)(102, 419)(103, 409)(104, 417)(105, 407)(106, 415)(107, 414)(108, 422)(109, 412)(110, 420)(111, 410)(112, 418)(113, 408)(114, 416)(115, 455)(116, 461)(117, 453)(118, 459)(119, 451)(120, 457)(121, 456)(122, 462)(123, 454)(124, 460)(125, 452)(126, 458)(127, 443)(128, 449)(129, 441)(130, 447)(131, 439)(132, 445)(133, 444)(134, 450)(135, 442)(136, 448)(137, 440)(138, 446)(139, 473)(140, 477)(141, 471)(142, 475)(143, 474)(144, 478)(145, 472)(146, 476)(147, 465)(148, 469)(149, 463)(150, 467)(151, 466)(152, 470)(153, 464)(154, 468)(155, 483)(156, 485)(157, 484)(158, 486)(159, 479)(160, 481)(161, 480)(162, 482)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 2, 36, 2, 36 ), ( 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.2830
Graph:: bipartite
	v = 99 e = 324 f = 171
	degree seq :: [ 4^81, 18^18 ]

E28.2828 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 9, 18})
Quotient :: dipole
Aut^+ = C9 x D18 (small group id <162, 3>)
Aut   = D18 x D18 (small group id <324, 36>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, (Y1^-1 * Y2^-1)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, R * Y2 * R * Y3, Y2 * Y1 * Y2^-2 * Y1^-1 * Y2, Y1^9, Y2 * Y1^-2 * Y2^2 * Y1^4 * Y2 * Y1^2, Y2^18 ]
Map::
	R = (1, 163, 2, 164, 6, 168, 16, 178, 34, 196, 57, 219, 31, 193, 13, 175, 4, 166)(3, 165, 9, 171, 23, 185, 45, 207, 74, 236, 85, 247, 53, 215, 28, 190, 11, 173)(5, 167, 14, 176, 32, 194, 58, 220, 90, 252, 71, 233, 42, 204, 20, 182, 7, 169)(8, 170, 21, 183, 43, 205, 72, 234, 105, 267, 101, 263, 67, 229, 38, 200, 17, 179)(10, 172, 19, 181, 37, 199, 62, 224, 92, 254, 118, 280, 83, 245, 51, 213, 26, 188)(12, 174, 29, 191, 54, 216, 86, 248, 120, 282, 116, 278, 81, 243, 49, 211, 25, 187)(15, 177, 22, 184, 40, 202, 65, 227, 95, 257, 110, 272, 77, 239, 46, 208, 24, 186)(18, 180, 39, 201, 68, 230, 102, 264, 132, 294, 129, 291, 97, 259, 63, 225, 35, 197)(27, 189, 41, 203, 66, 228, 96, 258, 124, 286, 142, 304, 114, 276, 79, 241, 48, 210)(30, 192, 55, 217, 87, 249, 121, 283, 144, 306, 140, 302, 112, 274, 78, 240, 50, 212)(33, 195, 44, 206, 69, 231, 99, 261, 127, 289, 136, 298, 109, 271, 75, 237, 47, 209)(36, 198, 64, 226, 98, 260, 130, 292, 150, 312, 147, 309, 125, 287, 93, 255, 60, 222)(52, 214, 70, 232, 100, 262, 128, 290, 146, 308, 157, 319, 138, 300, 111, 273, 80, 242)(56, 218, 88, 250, 122, 284, 145, 307, 159, 321, 155, 317, 137, 299, 113, 275, 82, 244)(59, 221, 73, 235, 103, 265, 131, 293, 149, 311, 153, 315, 135, 297, 107, 269, 76, 238)(61, 223, 94, 256, 126, 288, 148, 310, 160, 322, 156, 318, 141, 303, 117, 279, 89, 251)(84, 246, 104, 266, 123, 285, 134, 296, 152, 314, 162, 324, 154, 316, 139, 301, 115, 277)(91, 253, 106, 268, 133, 295, 151, 313, 161, 323, 158, 320, 143, 305, 119, 281, 108, 270)(325, 487, 327, 489, 334, 496, 349, 511, 372, 534, 402, 564, 435, 597, 461, 623, 478, 640, 484, 646, 475, 637, 454, 616, 427, 589, 392, 554, 368, 530, 345, 507, 339, 501, 329, 491)(326, 488, 331, 493, 343, 505, 335, 497, 351, 513, 373, 535, 404, 566, 436, 598, 463, 625, 479, 641, 485, 647, 472, 634, 455, 617, 422, 584, 393, 555, 363, 525, 346, 508, 332, 494)(328, 490, 336, 498, 350, 512, 374, 536, 403, 565, 437, 599, 462, 624, 480, 642, 486, 648, 474, 636, 457, 619, 426, 588, 397, 559, 367, 529, 357, 519, 338, 500, 348, 510, 333, 495)(330, 492, 341, 503, 361, 523, 344, 506, 365, 527, 352, 514, 376, 538, 405, 567, 439, 601, 464, 626, 482, 644, 483, 645, 473, 635, 450, 612, 423, 585, 388, 550, 364, 526, 342, 504)(337, 499, 354, 516, 375, 537, 406, 568, 438, 600, 465, 627, 481, 643, 471, 633, 476, 638, 456, 618, 430, 592, 396, 558, 383, 545, 356, 518, 371, 533, 347, 509, 370, 532, 353, 515)(340, 502, 359, 521, 386, 548, 362, 524, 390, 552, 366, 528, 394, 556, 377, 539, 408, 570, 440, 602, 467, 629, 468, 630, 477, 639, 469, 631, 451, 613, 418, 580, 389, 551, 360, 522)(355, 517, 380, 542, 407, 569, 441, 603, 466, 628, 449, 611, 470, 632, 453, 615, 458, 620, 429, 591, 415, 577, 382, 544, 400, 562, 369, 531, 399, 561, 378, 540, 401, 563, 379, 541)(358, 520, 384, 546, 416, 578, 387, 549, 420, 582, 391, 553, 424, 586, 395, 557, 428, 590, 409, 571, 443, 605, 444, 606, 459, 621, 445, 607, 460, 622, 446, 608, 419, 581, 385, 547)(381, 543, 413, 575, 442, 604, 417, 579, 448, 610, 421, 583, 452, 614, 425, 587, 447, 609, 414, 576, 432, 594, 398, 560, 431, 593, 410, 572, 433, 595, 411, 573, 434, 596, 412, 574)
	L = (1, 327)(2, 331)(3, 334)(4, 336)(5, 325)(6, 341)(7, 343)(8, 326)(9, 328)(10, 349)(11, 351)(12, 350)(13, 354)(14, 348)(15, 329)(16, 359)(17, 361)(18, 330)(19, 335)(20, 365)(21, 339)(22, 332)(23, 370)(24, 333)(25, 372)(26, 374)(27, 373)(28, 376)(29, 337)(30, 375)(31, 380)(32, 371)(33, 338)(34, 384)(35, 386)(36, 340)(37, 344)(38, 390)(39, 346)(40, 342)(41, 352)(42, 394)(43, 357)(44, 345)(45, 399)(46, 353)(47, 347)(48, 402)(49, 404)(50, 403)(51, 406)(52, 405)(53, 408)(54, 401)(55, 355)(56, 407)(57, 413)(58, 400)(59, 356)(60, 416)(61, 358)(62, 362)(63, 420)(64, 364)(65, 360)(66, 366)(67, 424)(68, 368)(69, 363)(70, 377)(71, 428)(72, 383)(73, 367)(74, 431)(75, 378)(76, 369)(77, 379)(78, 435)(79, 437)(80, 436)(81, 439)(82, 438)(83, 441)(84, 440)(85, 443)(86, 433)(87, 434)(88, 381)(89, 442)(90, 432)(91, 382)(92, 387)(93, 448)(94, 389)(95, 385)(96, 391)(97, 452)(98, 393)(99, 388)(100, 395)(101, 447)(102, 397)(103, 392)(104, 409)(105, 415)(106, 396)(107, 410)(108, 398)(109, 411)(110, 412)(111, 461)(112, 463)(113, 462)(114, 465)(115, 464)(116, 467)(117, 466)(118, 417)(119, 444)(120, 459)(121, 460)(122, 419)(123, 414)(124, 421)(125, 470)(126, 423)(127, 418)(128, 425)(129, 458)(130, 427)(131, 422)(132, 430)(133, 426)(134, 429)(135, 445)(136, 446)(137, 478)(138, 480)(139, 479)(140, 482)(141, 481)(142, 449)(143, 468)(144, 477)(145, 451)(146, 453)(147, 476)(148, 455)(149, 450)(150, 457)(151, 454)(152, 456)(153, 469)(154, 484)(155, 485)(156, 486)(157, 471)(158, 483)(159, 473)(160, 475)(161, 472)(162, 474)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.2829
Graph:: bipartite
	v = 27 e = 324 f = 243
	degree seq :: [ 18^18, 36^9 ]

E28.2829 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 9, 18})
Quotient :: dipole
Aut^+ = C9 x D18 (small group id <162, 3>)
Aut   = D18 x D18 (small group id <324, 36>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^2 * Y2 * Y3^-2 * Y2, (Y3 * Y2)^9, (Y3^-1 * Y1^-1)^18 ]
Map:: polytopal
	R = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)(325, 487, 326, 488)(327, 489, 331, 493)(328, 490, 333, 495)(329, 491, 335, 497)(330, 492, 337, 499)(332, 494, 336, 498)(334, 496, 338, 500)(339, 501, 349, 511)(340, 502, 351, 513)(341, 503, 350, 512)(342, 504, 353, 515)(343, 505, 354, 516)(344, 506, 356, 518)(345, 507, 358, 520)(346, 508, 357, 519)(347, 509, 360, 522)(348, 510, 361, 523)(352, 514, 359, 521)(355, 517, 362, 524)(363, 525, 379, 541)(364, 526, 381, 543)(365, 527, 380, 542)(366, 528, 383, 545)(367, 529, 382, 544)(368, 530, 385, 547)(369, 531, 386, 548)(370, 532, 387, 549)(371, 533, 389, 551)(372, 534, 391, 553)(373, 535, 390, 552)(374, 536, 393, 555)(375, 537, 392, 554)(376, 538, 395, 557)(377, 539, 396, 558)(378, 540, 397, 559)(384, 546, 394, 556)(388, 550, 398, 560)(399, 561, 421, 583)(400, 562, 423, 585)(401, 563, 422, 584)(402, 564, 425, 587)(403, 565, 424, 586)(404, 566, 427, 589)(405, 567, 426, 588)(406, 568, 429, 591)(407, 569, 430, 592)(408, 570, 431, 593)(409, 571, 432, 594)(410, 572, 434, 596)(411, 573, 436, 598)(412, 574, 435, 597)(413, 575, 438, 600)(414, 576, 437, 599)(415, 577, 440, 602)(416, 578, 439, 601)(417, 579, 442, 604)(418, 580, 443, 605)(419, 581, 444, 606)(420, 582, 445, 607)(428, 590, 441, 603)(433, 595, 446, 608)(447, 609, 466, 628)(448, 610, 464, 626)(449, 611, 470, 632)(450, 612, 469, 631)(451, 613, 472, 634)(452, 614, 471, 633)(453, 615, 459, 621)(454, 616, 473, 635)(455, 617, 458, 620)(456, 618, 474, 636)(457, 619, 475, 637)(460, 622, 477, 639)(461, 623, 476, 638)(462, 624, 479, 641)(463, 625, 478, 640)(465, 627, 480, 642)(467, 629, 481, 643)(468, 630, 482, 644)(483, 645, 486, 648)(484, 646, 485, 647)
	L = (1, 327)(2, 329)(3, 332)(4, 325)(5, 336)(6, 326)(7, 339)(8, 341)(9, 340)(10, 328)(11, 344)(12, 346)(13, 345)(14, 330)(15, 350)(16, 331)(17, 352)(18, 333)(19, 334)(20, 357)(21, 335)(22, 359)(23, 337)(24, 338)(25, 363)(26, 365)(27, 364)(28, 367)(29, 366)(30, 342)(31, 343)(32, 371)(33, 373)(34, 372)(35, 375)(36, 374)(37, 347)(38, 348)(39, 380)(40, 349)(41, 382)(42, 351)(43, 384)(44, 353)(45, 354)(46, 355)(47, 390)(48, 356)(49, 392)(50, 358)(51, 394)(52, 360)(53, 361)(54, 362)(55, 399)(56, 401)(57, 400)(58, 403)(59, 402)(60, 405)(61, 404)(62, 368)(63, 369)(64, 370)(65, 410)(66, 412)(67, 411)(68, 414)(69, 413)(70, 416)(71, 415)(72, 376)(73, 377)(74, 378)(75, 422)(76, 379)(77, 424)(78, 381)(79, 426)(80, 383)(81, 428)(82, 385)(83, 386)(84, 387)(85, 388)(86, 435)(87, 389)(88, 437)(89, 391)(90, 439)(91, 393)(92, 441)(93, 395)(94, 396)(95, 397)(96, 398)(97, 442)(98, 448)(99, 447)(100, 450)(101, 449)(102, 452)(103, 451)(104, 454)(105, 453)(106, 406)(107, 407)(108, 408)(109, 409)(110, 429)(111, 459)(112, 458)(113, 461)(114, 460)(115, 463)(116, 462)(117, 465)(118, 464)(119, 417)(120, 418)(121, 419)(122, 420)(123, 421)(124, 469)(125, 423)(126, 471)(127, 425)(128, 473)(129, 427)(130, 433)(131, 430)(132, 431)(133, 432)(134, 434)(135, 476)(136, 436)(137, 478)(138, 438)(139, 480)(140, 440)(141, 446)(142, 443)(143, 444)(144, 445)(145, 479)(146, 481)(147, 484)(148, 483)(149, 457)(150, 455)(151, 456)(152, 472)(153, 474)(154, 486)(155, 485)(156, 468)(157, 466)(158, 467)(159, 470)(160, 475)(161, 477)(162, 482)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 18, 36 ), ( 18, 36, 18, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.2828
Graph:: simple bipartite
	v = 243 e = 324 f = 27
	degree seq :: [ 2^162, 4^81 ]

E28.2830 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 9, 18})
Quotient :: dipole
Aut^+ = C9 x D18 (small group id <162, 3>)
Aut   = D18 x D18 (small group id <324, 36>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y1^-2 * Y3 * Y1^2 * Y3^-1, (Y3^-1 * Y1^-1)^9, Y1^18 ]
Map:: polytopal
	R = (1, 163, 2, 164, 5, 167, 11, 173, 20, 182, 32, 194, 47, 209, 65, 227, 86, 248, 110, 272, 109, 271, 85, 247, 64, 226, 46, 208, 31, 193, 19, 181, 10, 172, 4, 166)(3, 165, 7, 169, 12, 174, 22, 184, 33, 195, 49, 211, 66, 228, 88, 250, 111, 273, 135, 297, 130, 292, 104, 266, 81, 243, 60, 222, 43, 205, 28, 190, 17, 179, 8, 170)(6, 168, 13, 175, 21, 183, 34, 196, 48, 210, 67, 229, 87, 249, 112, 274, 134, 296, 133, 295, 108, 270, 84, 246, 63, 225, 45, 207, 30, 192, 18, 180, 9, 171, 14, 176)(15, 177, 25, 187, 35, 197, 51, 213, 68, 230, 90, 252, 113, 275, 137, 299, 152, 314, 149, 311, 129, 291, 103, 265, 80, 242, 59, 221, 42, 204, 27, 189, 16, 178, 26, 188)(23, 185, 36, 198, 50, 212, 69, 231, 89, 251, 114, 276, 136, 298, 153, 315, 151, 313, 132, 294, 107, 269, 83, 245, 62, 224, 44, 206, 29, 191, 38, 200, 24, 186, 37, 199)(39, 201, 55, 217, 70, 232, 92, 254, 115, 277, 139, 301, 154, 316, 162, 324, 160, 322, 148, 310, 128, 290, 102, 264, 79, 241, 58, 220, 41, 203, 57, 219, 40, 202, 56, 218)(52, 214, 71, 233, 91, 253, 116, 278, 138, 300, 155, 317, 161, 323, 159, 321, 150, 312, 131, 293, 106, 268, 82, 244, 61, 223, 74, 236, 54, 216, 73, 235, 53, 215, 72, 234)(75, 237, 97, 259, 117, 279, 141, 303, 156, 318, 144, 306, 158, 320, 143, 305, 157, 319, 142, 304, 127, 289, 101, 263, 78, 240, 100, 262, 77, 239, 99, 261, 76, 238, 98, 260)(93, 255, 118, 280, 140, 302, 126, 288, 147, 309, 125, 287, 146, 308, 124, 286, 145, 307, 123, 285, 105, 267, 122, 284, 96, 258, 121, 283, 95, 257, 120, 282, 94, 256, 119, 281)(325, 487)(326, 488)(327, 489)(328, 490)(329, 491)(330, 492)(331, 493)(332, 494)(333, 495)(334, 496)(335, 497)(336, 498)(337, 499)(338, 500)(339, 501)(340, 502)(341, 503)(342, 504)(343, 505)(344, 506)(345, 507)(346, 508)(347, 509)(348, 510)(349, 511)(350, 512)(351, 513)(352, 514)(353, 515)(354, 516)(355, 517)(356, 518)(357, 519)(358, 520)(359, 521)(360, 522)(361, 523)(362, 524)(363, 525)(364, 526)(365, 527)(366, 528)(367, 529)(368, 530)(369, 531)(370, 532)(371, 533)(372, 534)(373, 535)(374, 536)(375, 537)(376, 538)(377, 539)(378, 540)(379, 541)(380, 542)(381, 543)(382, 544)(383, 545)(384, 546)(385, 547)(386, 548)(387, 549)(388, 550)(389, 551)(390, 552)(391, 553)(392, 554)(393, 555)(394, 556)(395, 557)(396, 558)(397, 559)(398, 560)(399, 561)(400, 562)(401, 563)(402, 564)(403, 565)(404, 566)(405, 567)(406, 568)(407, 569)(408, 570)(409, 571)(410, 572)(411, 573)(412, 574)(413, 575)(414, 576)(415, 577)(416, 578)(417, 579)(418, 580)(419, 581)(420, 582)(421, 583)(422, 584)(423, 585)(424, 586)(425, 587)(426, 588)(427, 589)(428, 590)(429, 591)(430, 592)(431, 593)(432, 594)(433, 595)(434, 596)(435, 597)(436, 598)(437, 599)(438, 600)(439, 601)(440, 602)(441, 603)(442, 604)(443, 605)(444, 606)(445, 607)(446, 608)(447, 609)(448, 610)(449, 611)(450, 612)(451, 613)(452, 614)(453, 615)(454, 616)(455, 617)(456, 618)(457, 619)(458, 620)(459, 621)(460, 622)(461, 623)(462, 624)(463, 625)(464, 626)(465, 627)(466, 628)(467, 629)(468, 630)(469, 631)(470, 632)(471, 633)(472, 634)(473, 635)(474, 636)(475, 637)(476, 638)(477, 639)(478, 640)(479, 641)(480, 642)(481, 643)(482, 644)(483, 645)(484, 646)(485, 647)(486, 648)
	L = (1, 327)(2, 330)(3, 325)(4, 333)(5, 336)(6, 326)(7, 339)(8, 340)(9, 328)(10, 341)(11, 345)(12, 329)(13, 347)(14, 348)(15, 331)(16, 332)(17, 334)(18, 353)(19, 354)(20, 357)(21, 335)(22, 359)(23, 337)(24, 338)(25, 363)(26, 364)(27, 365)(28, 366)(29, 342)(30, 343)(31, 367)(32, 372)(33, 344)(34, 374)(35, 346)(36, 376)(37, 377)(38, 378)(39, 349)(40, 350)(41, 351)(42, 352)(43, 355)(44, 385)(45, 386)(46, 387)(47, 390)(48, 356)(49, 392)(50, 358)(51, 394)(52, 360)(53, 361)(54, 362)(55, 399)(56, 400)(57, 401)(58, 402)(59, 403)(60, 404)(61, 368)(62, 369)(63, 370)(64, 405)(65, 411)(66, 371)(67, 413)(68, 373)(69, 415)(70, 375)(71, 417)(72, 418)(73, 419)(74, 420)(75, 379)(76, 380)(77, 381)(78, 382)(79, 383)(80, 384)(81, 388)(82, 429)(83, 430)(84, 431)(85, 432)(86, 435)(87, 389)(88, 437)(89, 391)(90, 439)(91, 393)(92, 441)(93, 395)(94, 396)(95, 397)(96, 398)(97, 447)(98, 448)(99, 449)(100, 450)(101, 442)(102, 451)(103, 452)(104, 453)(105, 406)(106, 407)(107, 408)(108, 409)(109, 454)(110, 458)(111, 410)(112, 460)(113, 412)(114, 462)(115, 414)(116, 464)(117, 416)(118, 425)(119, 466)(120, 467)(121, 468)(122, 465)(123, 421)(124, 422)(125, 423)(126, 424)(127, 426)(128, 427)(129, 428)(130, 433)(131, 469)(132, 474)(133, 475)(134, 434)(135, 476)(136, 436)(137, 478)(138, 438)(139, 480)(140, 440)(141, 446)(142, 443)(143, 444)(144, 445)(145, 455)(146, 483)(147, 479)(148, 481)(149, 484)(150, 456)(151, 457)(152, 459)(153, 485)(154, 461)(155, 471)(156, 463)(157, 472)(158, 486)(159, 470)(160, 473)(161, 477)(162, 482)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 4, 18 ), ( 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.2827
Graph:: simple bipartite
	v = 171 e = 324 f = 99
	degree seq :: [ 2^162, 36^9 ]

E28.2831 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 9, 18})
Quotient :: dipole
Aut^+ = C9 x D18 (small group id <162, 3>)
Aut   = D18 x D18 (small group id <324, 36>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^2 * Y1 * Y2^-2 * Y1, Y2^18, (Y3 * Y2^-1)^9 ]
Map::
	R = (1, 163, 2, 164)(3, 165, 7, 169)(4, 166, 9, 171)(5, 167, 11, 173)(6, 168, 13, 175)(8, 170, 12, 174)(10, 172, 14, 176)(15, 177, 25, 187)(16, 178, 27, 189)(17, 179, 26, 188)(18, 180, 29, 191)(19, 181, 30, 192)(20, 182, 32, 194)(21, 183, 34, 196)(22, 184, 33, 195)(23, 185, 36, 198)(24, 186, 37, 199)(28, 190, 35, 197)(31, 193, 38, 200)(39, 201, 55, 217)(40, 202, 57, 219)(41, 203, 56, 218)(42, 204, 59, 221)(43, 205, 58, 220)(44, 206, 61, 223)(45, 207, 62, 224)(46, 208, 63, 225)(47, 209, 65, 227)(48, 210, 67, 229)(49, 211, 66, 228)(50, 212, 69, 231)(51, 213, 68, 230)(52, 214, 71, 233)(53, 215, 72, 234)(54, 216, 73, 235)(60, 222, 70, 232)(64, 226, 74, 236)(75, 237, 97, 259)(76, 238, 99, 261)(77, 239, 98, 260)(78, 240, 101, 263)(79, 241, 100, 262)(80, 242, 103, 265)(81, 243, 102, 264)(82, 244, 105, 267)(83, 245, 106, 268)(84, 246, 107, 269)(85, 247, 108, 270)(86, 248, 110, 272)(87, 249, 112, 274)(88, 250, 111, 273)(89, 251, 114, 276)(90, 252, 113, 275)(91, 253, 116, 278)(92, 254, 115, 277)(93, 255, 118, 280)(94, 256, 119, 281)(95, 257, 120, 282)(96, 258, 121, 283)(104, 266, 117, 279)(109, 271, 122, 284)(123, 285, 142, 304)(124, 286, 140, 302)(125, 287, 146, 308)(126, 288, 145, 307)(127, 289, 148, 310)(128, 290, 147, 309)(129, 291, 135, 297)(130, 292, 149, 311)(131, 293, 134, 296)(132, 294, 150, 312)(133, 295, 151, 313)(136, 298, 153, 315)(137, 299, 152, 314)(138, 300, 155, 317)(139, 301, 154, 316)(141, 303, 156, 318)(143, 305, 157, 319)(144, 306, 158, 320)(159, 321, 162, 324)(160, 322, 161, 323)(325, 487, 327, 489, 332, 494, 341, 503, 352, 514, 367, 529, 384, 546, 405, 567, 428, 590, 454, 616, 433, 595, 409, 571, 388, 550, 370, 532, 355, 517, 343, 505, 334, 496, 328, 490)(326, 488, 329, 491, 336, 498, 346, 508, 359, 521, 375, 537, 394, 556, 416, 578, 441, 603, 465, 627, 446, 608, 420, 582, 398, 560, 378, 540, 362, 524, 348, 510, 338, 500, 330, 492)(331, 493, 339, 501, 350, 512, 365, 527, 382, 544, 403, 565, 426, 588, 452, 614, 473, 635, 457, 619, 432, 594, 408, 570, 387, 549, 369, 531, 354, 516, 342, 504, 333, 495, 340, 502)(335, 497, 344, 506, 357, 519, 373, 535, 392, 554, 414, 576, 439, 601, 463, 625, 480, 642, 468, 630, 445, 607, 419, 581, 397, 559, 377, 539, 361, 523, 347, 509, 337, 499, 345, 507)(349, 511, 363, 525, 380, 542, 401, 563, 424, 586, 450, 612, 471, 633, 484, 646, 475, 637, 456, 618, 431, 593, 407, 569, 386, 548, 368, 530, 353, 515, 366, 528, 351, 513, 364, 526)(356, 518, 371, 533, 390, 552, 412, 574, 437, 599, 461, 623, 478, 640, 486, 648, 482, 644, 467, 629, 444, 606, 418, 580, 396, 558, 376, 538, 360, 522, 374, 536, 358, 520, 372, 534)(379, 541, 399, 561, 422, 584, 448, 610, 469, 631, 479, 641, 485, 647, 477, 639, 474, 636, 455, 617, 430, 592, 406, 568, 385, 547, 404, 566, 383, 545, 402, 564, 381, 543, 400, 562)(389, 551, 410, 572, 435, 597, 459, 621, 476, 638, 472, 634, 483, 645, 470, 632, 481, 643, 466, 628, 443, 605, 417, 579, 395, 557, 415, 577, 393, 555, 413, 575, 391, 553, 411, 573)(421, 583, 442, 604, 464, 626, 440, 602, 462, 624, 438, 600, 460, 622, 436, 598, 458, 620, 434, 596, 429, 591, 453, 615, 427, 589, 451, 613, 425, 587, 449, 611, 423, 585, 447, 609)
	L = (1, 326)(2, 325)(3, 331)(4, 333)(5, 335)(6, 337)(7, 327)(8, 336)(9, 328)(10, 338)(11, 329)(12, 332)(13, 330)(14, 334)(15, 349)(16, 351)(17, 350)(18, 353)(19, 354)(20, 356)(21, 358)(22, 357)(23, 360)(24, 361)(25, 339)(26, 341)(27, 340)(28, 359)(29, 342)(30, 343)(31, 362)(32, 344)(33, 346)(34, 345)(35, 352)(36, 347)(37, 348)(38, 355)(39, 379)(40, 381)(41, 380)(42, 383)(43, 382)(44, 385)(45, 386)(46, 387)(47, 389)(48, 391)(49, 390)(50, 393)(51, 392)(52, 395)(53, 396)(54, 397)(55, 363)(56, 365)(57, 364)(58, 367)(59, 366)(60, 394)(61, 368)(62, 369)(63, 370)(64, 398)(65, 371)(66, 373)(67, 372)(68, 375)(69, 374)(70, 384)(71, 376)(72, 377)(73, 378)(74, 388)(75, 421)(76, 423)(77, 422)(78, 425)(79, 424)(80, 427)(81, 426)(82, 429)(83, 430)(84, 431)(85, 432)(86, 434)(87, 436)(88, 435)(89, 438)(90, 437)(91, 440)(92, 439)(93, 442)(94, 443)(95, 444)(96, 445)(97, 399)(98, 401)(99, 400)(100, 403)(101, 402)(102, 405)(103, 404)(104, 441)(105, 406)(106, 407)(107, 408)(108, 409)(109, 446)(110, 410)(111, 412)(112, 411)(113, 414)(114, 413)(115, 416)(116, 415)(117, 428)(118, 417)(119, 418)(120, 419)(121, 420)(122, 433)(123, 466)(124, 464)(125, 470)(126, 469)(127, 472)(128, 471)(129, 459)(130, 473)(131, 458)(132, 474)(133, 475)(134, 455)(135, 453)(136, 477)(137, 476)(138, 479)(139, 478)(140, 448)(141, 480)(142, 447)(143, 481)(144, 482)(145, 450)(146, 449)(147, 452)(148, 451)(149, 454)(150, 456)(151, 457)(152, 461)(153, 460)(154, 463)(155, 462)(156, 465)(157, 467)(158, 468)(159, 486)(160, 485)(161, 484)(162, 483)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 2, 18, 2, 18 ), ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.2832
Graph:: bipartite
	v = 90 e = 324 f = 180
	degree seq :: [ 4^81, 36^9 ]

E28.2832 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 9, 18})
Quotient :: dipole
Aut^+ = C9 x D18 (small group id <162, 3>)
Aut   = D18 x D18 (small group id <324, 36>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y3^-3 * Y1^-1 * Y3, Y3^-2 * Y1^-1 * Y3 * Y1^-1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y1^9, Y3 * Y1^-4 * Y3^2 * Y1^-3 * Y3 * Y1^2, (Y3 * Y2^-1)^18 ]
Map:: polytopal
	R = (1, 163, 2, 164, 6, 168, 16, 178, 34, 196, 57, 219, 31, 193, 13, 175, 4, 166)(3, 165, 9, 171, 23, 185, 45, 207, 74, 236, 85, 247, 53, 215, 28, 190, 11, 173)(5, 167, 14, 176, 32, 194, 58, 220, 90, 252, 71, 233, 42, 204, 20, 182, 7, 169)(8, 170, 21, 183, 43, 205, 72, 234, 105, 267, 101, 263, 67, 229, 38, 200, 17, 179)(10, 172, 19, 181, 37, 199, 62, 224, 92, 254, 118, 280, 83, 245, 51, 213, 26, 188)(12, 174, 29, 191, 54, 216, 86, 248, 120, 282, 116, 278, 81, 243, 49, 211, 25, 187)(15, 177, 22, 184, 40, 202, 65, 227, 95, 257, 110, 272, 77, 239, 46, 208, 24, 186)(18, 180, 39, 201, 68, 230, 102, 264, 132, 294, 129, 291, 97, 259, 63, 225, 35, 197)(27, 189, 41, 203, 66, 228, 96, 258, 124, 286, 142, 304, 114, 276, 79, 241, 48, 210)(30, 192, 55, 217, 87, 249, 121, 283, 144, 306, 140, 302, 112, 274, 78, 240, 50, 212)(33, 195, 44, 206, 69, 231, 99, 261, 127, 289, 136, 298, 109, 271, 75, 237, 47, 209)(36, 198, 64, 226, 98, 260, 130, 292, 150, 312, 147, 309, 125, 287, 93, 255, 60, 222)(52, 214, 70, 232, 100, 262, 128, 290, 146, 308, 157, 319, 138, 300, 111, 273, 80, 242)(56, 218, 88, 250, 122, 284, 145, 307, 159, 321, 155, 317, 137, 299, 113, 275, 82, 244)(59, 221, 73, 235, 103, 265, 131, 293, 149, 311, 153, 315, 135, 297, 107, 269, 76, 238)(61, 223, 94, 256, 126, 288, 148, 310, 160, 322, 156, 318, 141, 303, 117, 279, 89, 251)(84, 246, 104, 266, 123, 285, 134, 296, 152, 314, 162, 324, 154, 316, 139, 301, 115, 277)(91, 253, 106, 268, 133, 295, 151, 313, 161, 323, 158, 320, 143, 305, 119, 281, 108, 270)(325, 487)(326, 488)(327, 489)(328, 490)(329, 491)(330, 492)(331, 493)(332, 494)(333, 495)(334, 496)(335, 497)(336, 498)(337, 499)(338, 500)(339, 501)(340, 502)(341, 503)(342, 504)(343, 505)(344, 506)(345, 507)(346, 508)(347, 509)(348, 510)(349, 511)(350, 512)(351, 513)(352, 514)(353, 515)(354, 516)(355, 517)(356, 518)(357, 519)(358, 520)(359, 521)(360, 522)(361, 523)(362, 524)(363, 525)(364, 526)(365, 527)(366, 528)(367, 529)(368, 530)(369, 531)(370, 532)(371, 533)(372, 534)(373, 535)(374, 536)(375, 537)(376, 538)(377, 539)(378, 540)(379, 541)(380, 542)(381, 543)(382, 544)(383, 545)(384, 546)(385, 547)(386, 548)(387, 549)(388, 550)(389, 551)(390, 552)(391, 553)(392, 554)(393, 555)(394, 556)(395, 557)(396, 558)(397, 559)(398, 560)(399, 561)(400, 562)(401, 563)(402, 564)(403, 565)(404, 566)(405, 567)(406, 568)(407, 569)(408, 570)(409, 571)(410, 572)(411, 573)(412, 574)(413, 575)(414, 576)(415, 577)(416, 578)(417, 579)(418, 580)(419, 581)(420, 582)(421, 583)(422, 584)(423, 585)(424, 586)(425, 587)(426, 588)(427, 589)(428, 590)(429, 591)(430, 592)(431, 593)(432, 594)(433, 595)(434, 596)(435, 597)(436, 598)(437, 599)(438, 600)(439, 601)(440, 602)(441, 603)(442, 604)(443, 605)(444, 606)(445, 607)(446, 608)(447, 609)(448, 610)(449, 611)(450, 612)(451, 613)(452, 614)(453, 615)(454, 616)(455, 617)(456, 618)(457, 619)(458, 620)(459, 621)(460, 622)(461, 623)(462, 624)(463, 625)(464, 626)(465, 627)(466, 628)(467, 629)(468, 630)(469, 631)(470, 632)(471, 633)(472, 634)(473, 635)(474, 636)(475, 637)(476, 638)(477, 639)(478, 640)(479, 641)(480, 642)(481, 643)(482, 644)(483, 645)(484, 646)(485, 647)(486, 648)
	L = (1, 327)(2, 331)(3, 334)(4, 336)(5, 325)(6, 341)(7, 343)(8, 326)(9, 328)(10, 349)(11, 351)(12, 350)(13, 354)(14, 348)(15, 329)(16, 359)(17, 361)(18, 330)(19, 335)(20, 365)(21, 339)(22, 332)(23, 370)(24, 333)(25, 372)(26, 374)(27, 373)(28, 376)(29, 337)(30, 375)(31, 380)(32, 371)(33, 338)(34, 384)(35, 386)(36, 340)(37, 344)(38, 390)(39, 346)(40, 342)(41, 352)(42, 394)(43, 357)(44, 345)(45, 399)(46, 353)(47, 347)(48, 402)(49, 404)(50, 403)(51, 406)(52, 405)(53, 408)(54, 401)(55, 355)(56, 407)(57, 413)(58, 400)(59, 356)(60, 416)(61, 358)(62, 362)(63, 420)(64, 364)(65, 360)(66, 366)(67, 424)(68, 368)(69, 363)(70, 377)(71, 428)(72, 383)(73, 367)(74, 431)(75, 378)(76, 369)(77, 379)(78, 435)(79, 437)(80, 436)(81, 439)(82, 438)(83, 441)(84, 440)(85, 443)(86, 433)(87, 434)(88, 381)(89, 442)(90, 432)(91, 382)(92, 387)(93, 448)(94, 389)(95, 385)(96, 391)(97, 452)(98, 393)(99, 388)(100, 395)(101, 447)(102, 397)(103, 392)(104, 409)(105, 415)(106, 396)(107, 410)(108, 398)(109, 411)(110, 412)(111, 461)(112, 463)(113, 462)(114, 465)(115, 464)(116, 467)(117, 466)(118, 417)(119, 444)(120, 459)(121, 460)(122, 419)(123, 414)(124, 421)(125, 470)(126, 423)(127, 418)(128, 425)(129, 458)(130, 427)(131, 422)(132, 430)(133, 426)(134, 429)(135, 445)(136, 446)(137, 478)(138, 480)(139, 479)(140, 482)(141, 481)(142, 449)(143, 468)(144, 477)(145, 451)(146, 453)(147, 476)(148, 455)(149, 450)(150, 457)(151, 454)(152, 456)(153, 469)(154, 484)(155, 485)(156, 486)(157, 471)(158, 483)(159, 473)(160, 475)(161, 472)(162, 474)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 4, 36 ), ( 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.2831
Graph:: simple bipartite
	v = 180 e = 324 f = 90
	degree seq :: [ 2^162, 18^18 ]

E28.2833 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 9, 18})
Quotient :: regular
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 4>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 37>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1^3 * T2 * T1^-2 * T2 * T1 * T2 * T1^-2, T1^-6 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1, T1^-3 * T2 * T1 * T2 * T1^2 * T2 * T1 * T2 * T1^-1, (T2 * T1 * T2 * T1^-1)^3, (T2 * T1^-3)^3 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 47, 95, 73, 121, 153, 131, 68, 116, 94, 46, 22, 10, 4)(3, 7, 15, 31, 63, 127, 84, 41, 83, 118, 58, 28, 57, 115, 78, 38, 18, 8)(6, 13, 27, 55, 111, 74, 36, 17, 35, 71, 106, 52, 105, 150, 126, 62, 30, 14)(9, 19, 39, 79, 129, 141, 96, 89, 133, 70, 34, 16, 33, 67, 130, 86, 42, 20)(12, 25, 51, 103, 148, 122, 60, 29, 59, 119, 145, 100, 93, 136, 154, 110, 54, 26)(21, 43, 87, 134, 143, 98, 48, 97, 142, 125, 82, 40, 81, 101, 146, 112, 90, 44)(24, 49, 99, 77, 139, 88, 108, 53, 107, 64, 128, 92, 45, 91, 137, 147, 102, 50)(32, 65, 104, 149, 159, 157, 132, 69, 120, 151, 162, 155, 140, 85, 124, 61, 123, 66)(37, 75, 109, 80, 114, 56, 113, 144, 160, 158, 135, 72, 117, 152, 161, 156, 138, 76)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 48)(25, 52)(26, 53)(27, 56)(30, 61)(31, 64)(33, 68)(34, 69)(35, 72)(36, 73)(38, 77)(39, 80)(42, 85)(43, 88)(44, 89)(46, 93)(47, 96)(49, 100)(50, 101)(51, 104)(54, 109)(55, 112)(57, 116)(58, 117)(59, 120)(60, 121)(62, 125)(63, 113)(65, 129)(66, 102)(67, 98)(70, 110)(71, 134)(74, 136)(75, 137)(76, 126)(78, 140)(79, 119)(81, 131)(82, 135)(83, 132)(84, 95)(86, 103)(87, 123)(90, 138)(91, 122)(92, 97)(94, 105)(99, 144)(106, 151)(107, 152)(108, 153)(111, 149)(114, 143)(115, 141)(118, 147)(124, 154)(127, 150)(128, 155)(130, 156)(133, 158)(139, 157)(142, 159)(145, 161)(146, 162)(148, 160)
	local type(s) :: { ( 9^18 ) }
Outer automorphisms :: reflexible
Dual of E28.2834
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 9 e = 81 f = 18
	degree seq :: [ 18^9 ]

E28.2834 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 9, 18})
Quotient :: regular
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 4>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 37>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1^3 * T2 * T1^-3, T1^9, (T2 * T1^-1 * T2 * T1)^3, T1 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1, T2 * T1 * T2 * T1^2 * T2 * T1 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 42, 22, 10, 4)(3, 7, 15, 24, 44, 64, 37, 18, 8)(6, 13, 27, 43, 72, 41, 21, 30, 14)(9, 19, 26, 12, 25, 45, 70, 40, 20)(16, 32, 56, 73, 104, 63, 36, 59, 33)(17, 34, 55, 31, 54, 89, 102, 62, 35)(28, 49, 81, 112, 130, 88, 53, 84, 50)(29, 51, 80, 48, 79, 111, 71, 87, 52)(38, 65, 76, 46, 75, 110, 69, 106, 66)(39, 67, 78, 47, 77, 113, 74, 109, 68)(57, 93, 132, 142, 108, 135, 96, 117, 94)(58, 85, 125, 92, 118, 141, 103, 128, 95)(60, 97, 115, 90, 131, 140, 101, 137, 98)(61, 99, 124, 91, 122, 82, 121, 139, 100)(83, 116, 146, 120, 143, 152, 129, 107, 123)(86, 126, 105, 119, 145, 114, 144, 151, 127)(133, 147, 159, 154, 157, 161, 156, 138, 150)(134, 148, 136, 149, 160, 153, 158, 162, 155)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 31)(18, 36)(19, 38)(20, 39)(22, 37)(23, 43)(25, 46)(26, 47)(27, 48)(30, 53)(32, 57)(33, 58)(34, 60)(35, 61)(40, 69)(41, 71)(42, 70)(44, 73)(45, 74)(49, 82)(50, 83)(51, 85)(52, 86)(54, 90)(55, 91)(56, 92)(59, 96)(62, 101)(63, 103)(64, 102)(65, 105)(66, 98)(67, 107)(68, 108)(72, 112)(75, 114)(76, 115)(77, 116)(78, 117)(79, 118)(80, 119)(81, 120)(84, 124)(87, 128)(88, 129)(89, 121)(93, 113)(94, 133)(95, 134)(97, 136)(99, 138)(100, 130)(104, 142)(106, 127)(109, 143)(110, 140)(111, 144)(122, 147)(123, 148)(125, 149)(126, 150)(131, 153)(132, 154)(135, 156)(137, 155)(139, 157)(141, 158)(145, 159)(146, 160)(151, 161)(152, 162)
	local type(s) :: { ( 18^9 ) }
Outer automorphisms :: reflexible
Dual of E28.2833
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 18 e = 81 f = 9
	degree seq :: [ 9^18 ]

E28.2835 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 9, 18})
Quotient :: edge
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 4>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 37>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-3 * T1 * T2^2, T2^9, (T1 * T2^-1 * T1 * T2)^3, (T2 * T1 * T2^-2 * T1 * T2 * T1)^2, T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 ]
Map::
	R = (1, 3, 8, 18, 37, 42, 22, 10, 4)(2, 5, 12, 26, 49, 54, 30, 14, 6)(7, 15, 32, 58, 72, 41, 21, 34, 16)(9, 19, 36, 17, 35, 63, 70, 40, 20)(11, 23, 44, 76, 90, 53, 29, 46, 24)(13, 27, 48, 25, 47, 81, 88, 52, 28)(31, 55, 92, 112, 130, 99, 61, 94, 56)(33, 59, 96, 57, 95, 111, 71, 98, 60)(38, 65, 101, 62, 100, 110, 69, 106, 66)(39, 67, 104, 64, 103, 113, 102, 109, 68)(43, 73, 114, 134, 108, 121, 79, 116, 74)(45, 77, 118, 75, 117, 133, 89, 120, 78)(50, 83, 123, 80, 122, 132, 87, 128, 84)(51, 85, 126, 82, 125, 91, 124, 131, 86)(93, 136, 155, 135, 143, 158, 141, 107, 137)(97, 139, 105, 138, 156, 142, 144, 157, 140)(115, 146, 159, 145, 153, 162, 151, 129, 147)(119, 149, 127, 148, 160, 152, 154, 161, 150)(163, 164)(165, 169)(166, 171)(167, 173)(168, 175)(170, 179)(172, 183)(174, 187)(176, 191)(177, 193)(178, 195)(180, 188)(181, 200)(182, 201)(184, 192)(185, 205)(186, 207)(189, 212)(190, 213)(194, 219)(196, 223)(197, 224)(198, 226)(199, 220)(202, 231)(203, 233)(204, 232)(206, 237)(208, 241)(209, 242)(210, 244)(211, 238)(214, 249)(215, 251)(216, 250)(217, 253)(218, 255)(221, 239)(222, 259)(225, 264)(227, 267)(228, 246)(229, 269)(230, 270)(234, 274)(235, 275)(236, 277)(240, 281)(243, 286)(245, 289)(247, 291)(248, 292)(252, 296)(254, 297)(256, 288)(257, 279)(258, 300)(260, 282)(261, 303)(262, 304)(263, 285)(265, 298)(266, 278)(268, 302)(271, 305)(272, 294)(273, 306)(276, 307)(280, 310)(283, 313)(284, 314)(287, 308)(290, 312)(293, 315)(295, 316)(299, 311)(301, 309)(317, 322)(318, 321)(319, 324)(320, 323)
	L = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 36, 36 ), ( 36^9 ) }
Outer automorphisms :: reflexible
Dual of E28.2839
Transitivity :: ET+
Graph:: simple bipartite
	v = 99 e = 162 f = 9
	degree seq :: [ 2^81, 9^18 ]

E28.2836 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 9, 18})
Quotient :: edge
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 4>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 37>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T1^-1 * T2^-1 * T1^2 * T2^-1 * T1^-3, T1^2 * T2^-1 * T1^5 * T2^-1, T1^-1 * T2^6 * T1^-2, (T2^2 * T1^-1)^3, T2 * T1^-1 * T2 * T1^2 * T2^-1 * T1 * T2 * T1^-1 * T2^-2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 26, 64, 42, 16, 41, 91, 139, 104, 51, 34, 72, 90, 39, 15, 5)(2, 7, 19, 48, 100, 78, 40, 35, 81, 130, 73, 30, 13, 33, 79, 56, 22, 8)(4, 12, 31, 75, 46, 18, 6, 17, 43, 93, 68, 29, 71, 52, 107, 60, 24, 9)(11, 28, 69, 128, 116, 58, 23, 57, 113, 159, 126, 67, 45, 96, 147, 122, 62, 25)(14, 36, 82, 134, 153, 103, 80, 86, 136, 150, 98, 47, 20, 50, 105, 135, 85, 37)(21, 53, 108, 155, 131, 74, 32, 77, 127, 162, 141, 92, 44, 95, 145, 156, 110, 54)(27, 66, 55, 111, 157, 121, 61, 120, 146, 101, 138, 89, 115, 154, 109, 151, 124, 63)(38, 87, 137, 142, 94, 144, 106, 65, 125, 119, 140, 133, 83, 123, 160, 132, 76, 88)(49, 102, 70, 129, 161, 149, 97, 148, 114, 143, 158, 112, 84, 118, 59, 117, 152, 99)(163, 164, 168, 178, 202, 233, 196, 175, 166)(165, 171, 185, 203, 180, 207, 234, 191, 173)(167, 176, 197, 204, 242, 195, 213, 182, 169)(170, 183, 214, 240, 194, 174, 192, 206, 179)(172, 187, 223, 253, 220, 277, 252, 229, 189)(177, 200, 248, 226, 268, 212, 266, 245, 198)(181, 209, 259, 243, 199, 246, 241, 265, 211)(184, 217, 239, 262, 308, 257, 235, 271, 215)(186, 221, 258, 208, 232, 190, 230, 276, 219)(188, 225, 285, 301, 283, 249, 201, 251, 227)(193, 236, 256, 205, 254, 302, 269, 216, 238)(210, 261, 313, 292, 311, 273, 218, 274, 263)(222, 281, 291, 237, 294, 305, 255, 304, 279)(224, 270, 316, 278, 289, 228, 288, 307, 282)(231, 264, 315, 275, 310, 260, 309, 280, 247)(244, 295, 303, 298, 250, 272, 267, 306, 293)(284, 312, 324, 290, 297, 318, 321, 296, 317)(286, 314, 299, 319, 323, 287, 300, 320, 322)
	L = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 4^9 ), ( 4^18 ) }
Outer automorphisms :: reflexible
Dual of E28.2840
Transitivity :: ET+
Graph:: bipartite
	v = 27 e = 162 f = 81
	degree seq :: [ 9^18, 18^9 ]

E28.2837 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 9, 18})
Quotient :: edge
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 4>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 37>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1^3 * T2 * T1^-2 * T2 * T1 * T2 * T1^-2, T1^-6 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1, T1^-3 * T2 * T1 * T2 * T1^2 * T2 * T1 * T2 * T1^-1, (T2 * T1 * T2 * T1^-1)^3, (T2 * T1^-3)^3 ]
Map::
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 48)(25, 52)(26, 53)(27, 56)(30, 61)(31, 64)(33, 68)(34, 69)(35, 72)(36, 73)(38, 77)(39, 80)(42, 85)(43, 88)(44, 89)(46, 93)(47, 96)(49, 100)(50, 101)(51, 104)(54, 109)(55, 112)(57, 116)(58, 117)(59, 120)(60, 121)(62, 125)(63, 113)(65, 129)(66, 102)(67, 98)(70, 110)(71, 134)(74, 136)(75, 137)(76, 126)(78, 140)(79, 119)(81, 131)(82, 135)(83, 132)(84, 95)(86, 103)(87, 123)(90, 138)(91, 122)(92, 97)(94, 105)(99, 144)(106, 151)(107, 152)(108, 153)(111, 149)(114, 143)(115, 141)(118, 147)(124, 154)(127, 150)(128, 155)(130, 156)(133, 158)(139, 157)(142, 159)(145, 161)(146, 162)(148, 160)(163, 164, 167, 173, 185, 209, 257, 235, 283, 315, 293, 230, 278, 256, 208, 184, 172, 166)(165, 169, 177, 193, 225, 289, 246, 203, 245, 280, 220, 190, 219, 277, 240, 200, 180, 170)(168, 175, 189, 217, 273, 236, 198, 179, 197, 233, 268, 214, 267, 312, 288, 224, 192, 176)(171, 181, 201, 241, 291, 303, 258, 251, 295, 232, 196, 178, 195, 229, 292, 248, 204, 182)(174, 187, 213, 265, 310, 284, 222, 191, 221, 281, 307, 262, 255, 298, 316, 272, 216, 188)(183, 205, 249, 296, 305, 260, 210, 259, 304, 287, 244, 202, 243, 263, 308, 274, 252, 206)(186, 211, 261, 239, 301, 250, 270, 215, 269, 226, 290, 254, 207, 253, 299, 309, 264, 212)(194, 227, 266, 311, 321, 319, 294, 231, 282, 313, 324, 317, 302, 247, 286, 223, 285, 228)(199, 237, 271, 242, 276, 218, 275, 306, 322, 320, 297, 234, 279, 314, 323, 318, 300, 238)
	L = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 18, 18 ), ( 18^18 ) }
Outer automorphisms :: reflexible
Dual of E28.2838
Transitivity :: ET+
Graph:: simple bipartite
	v = 90 e = 162 f = 18
	degree seq :: [ 2^81, 18^9 ]

E28.2838 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 9, 18})
Quotient :: loop
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 4>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 37>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-3 * T1 * T2^2, T2^9, (T1 * T2^-1 * T1 * T2)^3, (T2 * T1 * T2^-2 * T1 * T2 * T1)^2, T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 ]
Map::
	R = (1, 163, 3, 165, 8, 170, 18, 180, 37, 199, 42, 204, 22, 184, 10, 172, 4, 166)(2, 164, 5, 167, 12, 174, 26, 188, 49, 211, 54, 216, 30, 192, 14, 176, 6, 168)(7, 169, 15, 177, 32, 194, 58, 220, 72, 234, 41, 203, 21, 183, 34, 196, 16, 178)(9, 171, 19, 181, 36, 198, 17, 179, 35, 197, 63, 225, 70, 232, 40, 202, 20, 182)(11, 173, 23, 185, 44, 206, 76, 238, 90, 252, 53, 215, 29, 191, 46, 208, 24, 186)(13, 175, 27, 189, 48, 210, 25, 187, 47, 209, 81, 243, 88, 250, 52, 214, 28, 190)(31, 193, 55, 217, 92, 254, 112, 274, 130, 292, 99, 261, 61, 223, 94, 256, 56, 218)(33, 195, 59, 221, 96, 258, 57, 219, 95, 257, 111, 273, 71, 233, 98, 260, 60, 222)(38, 200, 65, 227, 101, 263, 62, 224, 100, 262, 110, 272, 69, 231, 106, 268, 66, 228)(39, 201, 67, 229, 104, 266, 64, 226, 103, 265, 113, 275, 102, 264, 109, 271, 68, 230)(43, 205, 73, 235, 114, 276, 134, 296, 108, 270, 121, 283, 79, 241, 116, 278, 74, 236)(45, 207, 77, 239, 118, 280, 75, 237, 117, 279, 133, 295, 89, 251, 120, 282, 78, 240)(50, 212, 83, 245, 123, 285, 80, 242, 122, 284, 132, 294, 87, 249, 128, 290, 84, 246)(51, 213, 85, 247, 126, 288, 82, 244, 125, 287, 91, 253, 124, 286, 131, 293, 86, 248)(93, 255, 136, 298, 155, 317, 135, 297, 143, 305, 158, 320, 141, 303, 107, 269, 137, 299)(97, 259, 139, 301, 105, 267, 138, 300, 156, 318, 142, 304, 144, 306, 157, 319, 140, 302)(115, 277, 146, 308, 159, 321, 145, 307, 153, 315, 162, 324, 151, 313, 129, 291, 147, 309)(119, 281, 149, 311, 127, 289, 148, 310, 160, 322, 152, 314, 154, 316, 161, 323, 150, 312)
	L = (1, 164)(2, 163)(3, 169)(4, 171)(5, 173)(6, 175)(7, 165)(8, 179)(9, 166)(10, 183)(11, 167)(12, 187)(13, 168)(14, 191)(15, 193)(16, 195)(17, 170)(18, 188)(19, 200)(20, 201)(21, 172)(22, 192)(23, 205)(24, 207)(25, 174)(26, 180)(27, 212)(28, 213)(29, 176)(30, 184)(31, 177)(32, 219)(33, 178)(34, 223)(35, 224)(36, 226)(37, 220)(38, 181)(39, 182)(40, 231)(41, 233)(42, 232)(43, 185)(44, 237)(45, 186)(46, 241)(47, 242)(48, 244)(49, 238)(50, 189)(51, 190)(52, 249)(53, 251)(54, 250)(55, 253)(56, 255)(57, 194)(58, 199)(59, 239)(60, 259)(61, 196)(62, 197)(63, 264)(64, 198)(65, 267)(66, 246)(67, 269)(68, 270)(69, 202)(70, 204)(71, 203)(72, 274)(73, 275)(74, 277)(75, 206)(76, 211)(77, 221)(78, 281)(79, 208)(80, 209)(81, 286)(82, 210)(83, 289)(84, 228)(85, 291)(86, 292)(87, 214)(88, 216)(89, 215)(90, 296)(91, 217)(92, 297)(93, 218)(94, 288)(95, 279)(96, 300)(97, 222)(98, 282)(99, 303)(100, 304)(101, 285)(102, 225)(103, 298)(104, 278)(105, 227)(106, 302)(107, 229)(108, 230)(109, 305)(110, 294)(111, 306)(112, 234)(113, 235)(114, 307)(115, 236)(116, 266)(117, 257)(118, 310)(119, 240)(120, 260)(121, 313)(122, 314)(123, 263)(124, 243)(125, 308)(126, 256)(127, 245)(128, 312)(129, 247)(130, 248)(131, 315)(132, 272)(133, 316)(134, 252)(135, 254)(136, 265)(137, 311)(138, 258)(139, 309)(140, 268)(141, 261)(142, 262)(143, 271)(144, 273)(145, 276)(146, 287)(147, 301)(148, 280)(149, 299)(150, 290)(151, 283)(152, 284)(153, 293)(154, 295)(155, 322)(156, 321)(157, 324)(158, 323)(159, 318)(160, 317)(161, 320)(162, 319)
	local type(s) :: { ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.2837
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 18 e = 162 f = 90
	degree seq :: [ 18^18 ]

E28.2839 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 9, 18})
Quotient :: loop
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 4>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 37>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T1^-1 * T2^-1 * T1^2 * T2^-1 * T1^-3, T1^2 * T2^-1 * T1^5 * T2^-1, T1^-1 * T2^6 * T1^-2, (T2^2 * T1^-1)^3, T2 * T1^-1 * T2 * T1^2 * T2^-1 * T1 * T2 * T1^-1 * T2^-2 * T1^-1 ]
Map::
	R = (1, 163, 3, 165, 10, 172, 26, 188, 64, 226, 42, 204, 16, 178, 41, 203, 91, 253, 139, 301, 104, 266, 51, 213, 34, 196, 72, 234, 90, 252, 39, 201, 15, 177, 5, 167)(2, 164, 7, 169, 19, 181, 48, 210, 100, 262, 78, 240, 40, 202, 35, 197, 81, 243, 130, 292, 73, 235, 30, 192, 13, 175, 33, 195, 79, 241, 56, 218, 22, 184, 8, 170)(4, 166, 12, 174, 31, 193, 75, 237, 46, 208, 18, 180, 6, 168, 17, 179, 43, 205, 93, 255, 68, 230, 29, 191, 71, 233, 52, 214, 107, 269, 60, 222, 24, 186, 9, 171)(11, 173, 28, 190, 69, 231, 128, 290, 116, 278, 58, 220, 23, 185, 57, 219, 113, 275, 159, 321, 126, 288, 67, 229, 45, 207, 96, 258, 147, 309, 122, 284, 62, 224, 25, 187)(14, 176, 36, 198, 82, 244, 134, 296, 153, 315, 103, 265, 80, 242, 86, 248, 136, 298, 150, 312, 98, 260, 47, 209, 20, 182, 50, 212, 105, 267, 135, 297, 85, 247, 37, 199)(21, 183, 53, 215, 108, 270, 155, 317, 131, 293, 74, 236, 32, 194, 77, 239, 127, 289, 162, 324, 141, 303, 92, 254, 44, 206, 95, 257, 145, 307, 156, 318, 110, 272, 54, 216)(27, 189, 66, 228, 55, 217, 111, 273, 157, 319, 121, 283, 61, 223, 120, 282, 146, 308, 101, 263, 138, 300, 89, 251, 115, 277, 154, 316, 109, 271, 151, 313, 124, 286, 63, 225)(38, 200, 87, 249, 137, 299, 142, 304, 94, 256, 144, 306, 106, 268, 65, 227, 125, 287, 119, 281, 140, 302, 133, 295, 83, 245, 123, 285, 160, 322, 132, 294, 76, 238, 88, 250)(49, 211, 102, 264, 70, 232, 129, 291, 161, 323, 149, 311, 97, 259, 148, 310, 114, 276, 143, 305, 158, 320, 112, 274, 84, 246, 118, 280, 59, 221, 117, 279, 152, 314, 99, 261)
	L = (1, 164)(2, 168)(3, 171)(4, 163)(5, 176)(6, 178)(7, 167)(8, 183)(9, 185)(10, 187)(11, 165)(12, 192)(13, 166)(14, 197)(15, 200)(16, 202)(17, 170)(18, 207)(19, 209)(20, 169)(21, 214)(22, 217)(23, 203)(24, 221)(25, 223)(26, 225)(27, 172)(28, 230)(29, 173)(30, 206)(31, 236)(32, 174)(33, 213)(34, 175)(35, 204)(36, 177)(37, 246)(38, 248)(39, 251)(40, 233)(41, 180)(42, 242)(43, 254)(44, 179)(45, 234)(46, 232)(47, 259)(48, 261)(49, 181)(50, 266)(51, 182)(52, 240)(53, 184)(54, 238)(55, 239)(56, 274)(57, 186)(58, 277)(59, 258)(60, 281)(61, 253)(62, 270)(63, 285)(64, 268)(65, 188)(66, 288)(67, 189)(68, 276)(69, 264)(70, 190)(71, 196)(72, 191)(73, 271)(74, 256)(75, 294)(76, 193)(77, 262)(78, 194)(79, 265)(80, 195)(81, 199)(82, 295)(83, 198)(84, 241)(85, 231)(86, 226)(87, 201)(88, 272)(89, 227)(90, 229)(91, 220)(92, 302)(93, 304)(94, 205)(95, 235)(96, 208)(97, 243)(98, 309)(99, 313)(100, 308)(101, 210)(102, 315)(103, 211)(104, 245)(105, 306)(106, 212)(107, 216)(108, 316)(109, 215)(110, 267)(111, 218)(112, 263)(113, 310)(114, 219)(115, 252)(116, 289)(117, 222)(118, 247)(119, 291)(120, 224)(121, 249)(122, 312)(123, 301)(124, 314)(125, 300)(126, 307)(127, 228)(128, 297)(129, 237)(130, 311)(131, 244)(132, 305)(133, 303)(134, 317)(135, 318)(136, 250)(137, 319)(138, 320)(139, 283)(140, 269)(141, 298)(142, 279)(143, 255)(144, 293)(145, 282)(146, 257)(147, 280)(148, 260)(149, 273)(150, 324)(151, 292)(152, 299)(153, 275)(154, 278)(155, 284)(156, 321)(157, 323)(158, 322)(159, 296)(160, 286)(161, 287)(162, 290)
	local type(s) :: { ( 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9 ) }
Outer automorphisms :: reflexible
Dual of E28.2835
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 162 f = 99
	degree seq :: [ 36^9 ]

E28.2840 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 9, 18})
Quotient :: loop
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 4>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 37>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1^3 * T2 * T1^-2 * T2 * T1 * T2 * T1^-2, T1^-6 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1, T1^-3 * T2 * T1 * T2 * T1^2 * T2 * T1 * T2 * T1^-1, (T2 * T1 * T2 * T1^-1)^3, (T2 * T1^-3)^3 ]
Map:: polytopal non-degenerate
	R = (1, 163, 3, 165)(2, 164, 6, 168)(4, 166, 9, 171)(5, 167, 12, 174)(7, 169, 16, 178)(8, 170, 17, 179)(10, 172, 21, 183)(11, 173, 24, 186)(13, 175, 28, 190)(14, 176, 29, 191)(15, 177, 32, 194)(18, 180, 37, 199)(19, 181, 40, 202)(20, 182, 41, 203)(22, 184, 45, 207)(23, 185, 48, 210)(25, 187, 52, 214)(26, 188, 53, 215)(27, 189, 56, 218)(30, 192, 61, 223)(31, 193, 64, 226)(33, 195, 68, 230)(34, 196, 69, 231)(35, 197, 72, 234)(36, 198, 73, 235)(38, 200, 77, 239)(39, 201, 80, 242)(42, 204, 85, 247)(43, 205, 88, 250)(44, 206, 89, 251)(46, 208, 93, 255)(47, 209, 96, 258)(49, 211, 100, 262)(50, 212, 101, 263)(51, 213, 104, 266)(54, 216, 109, 271)(55, 217, 112, 274)(57, 219, 116, 278)(58, 220, 117, 279)(59, 221, 120, 282)(60, 222, 121, 283)(62, 224, 125, 287)(63, 225, 113, 275)(65, 227, 129, 291)(66, 228, 102, 264)(67, 229, 98, 260)(70, 232, 110, 272)(71, 233, 134, 296)(74, 236, 136, 298)(75, 237, 137, 299)(76, 238, 126, 288)(78, 240, 140, 302)(79, 241, 119, 281)(81, 243, 131, 293)(82, 244, 135, 297)(83, 245, 132, 294)(84, 246, 95, 257)(86, 248, 103, 265)(87, 249, 123, 285)(90, 252, 138, 300)(91, 253, 122, 284)(92, 254, 97, 259)(94, 256, 105, 267)(99, 261, 144, 306)(106, 268, 151, 313)(107, 269, 152, 314)(108, 270, 153, 315)(111, 273, 149, 311)(114, 276, 143, 305)(115, 277, 141, 303)(118, 280, 147, 309)(124, 286, 154, 316)(127, 289, 150, 312)(128, 290, 155, 317)(130, 292, 156, 318)(133, 295, 158, 320)(139, 301, 157, 319)(142, 304, 159, 321)(145, 307, 161, 323)(146, 308, 162, 324)(148, 310, 160, 322)
	L = (1, 164)(2, 167)(3, 169)(4, 163)(5, 173)(6, 175)(7, 177)(8, 165)(9, 181)(10, 166)(11, 185)(12, 187)(13, 189)(14, 168)(15, 193)(16, 195)(17, 197)(18, 170)(19, 201)(20, 171)(21, 205)(22, 172)(23, 209)(24, 211)(25, 213)(26, 174)(27, 217)(28, 219)(29, 221)(30, 176)(31, 225)(32, 227)(33, 229)(34, 178)(35, 233)(36, 179)(37, 237)(38, 180)(39, 241)(40, 243)(41, 245)(42, 182)(43, 249)(44, 183)(45, 253)(46, 184)(47, 257)(48, 259)(49, 261)(50, 186)(51, 265)(52, 267)(53, 269)(54, 188)(55, 273)(56, 275)(57, 277)(58, 190)(59, 281)(60, 191)(61, 285)(62, 192)(63, 289)(64, 290)(65, 266)(66, 194)(67, 292)(68, 278)(69, 282)(70, 196)(71, 268)(72, 279)(73, 283)(74, 198)(75, 271)(76, 199)(77, 301)(78, 200)(79, 291)(80, 276)(81, 263)(82, 202)(83, 280)(84, 203)(85, 286)(86, 204)(87, 296)(88, 270)(89, 295)(90, 206)(91, 299)(92, 207)(93, 298)(94, 208)(95, 235)(96, 251)(97, 304)(98, 210)(99, 239)(100, 255)(101, 308)(102, 212)(103, 310)(104, 311)(105, 312)(106, 214)(107, 226)(108, 215)(109, 242)(110, 216)(111, 236)(112, 252)(113, 306)(114, 218)(115, 240)(116, 256)(117, 314)(118, 220)(119, 307)(120, 313)(121, 315)(122, 222)(123, 228)(124, 223)(125, 244)(126, 224)(127, 246)(128, 254)(129, 303)(130, 248)(131, 230)(132, 231)(133, 232)(134, 305)(135, 234)(136, 316)(137, 309)(138, 238)(139, 250)(140, 247)(141, 258)(142, 287)(143, 260)(144, 322)(145, 262)(146, 274)(147, 264)(148, 284)(149, 321)(150, 288)(151, 324)(152, 323)(153, 293)(154, 272)(155, 302)(156, 300)(157, 294)(158, 297)(159, 319)(160, 320)(161, 318)(162, 317)
	local type(s) :: { ( 9, 18, 9, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.2836
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 81 e = 162 f = 27
	degree seq :: [ 4^81 ]

E28.2841 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 9, 18})
Quotient :: dipole
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 4>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 37>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * R * Y1 * Y2^-1)^2, Y2^3 * Y1 * Y2^-3 * Y1, (R * Y2^-3)^2, Y2^9, (Y1 * Y2^-1 * Y1 * Y2)^3, Y2 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * R * Y2^-2 * R * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1, (Y3 * Y2^-1)^18 ]
Map::
	R = (1, 163, 2, 164)(3, 165, 7, 169)(4, 166, 9, 171)(5, 167, 11, 173)(6, 168, 13, 175)(8, 170, 17, 179)(10, 172, 21, 183)(12, 174, 25, 187)(14, 176, 29, 191)(15, 177, 31, 193)(16, 178, 33, 195)(18, 180, 26, 188)(19, 181, 38, 200)(20, 182, 39, 201)(22, 184, 30, 192)(23, 185, 43, 205)(24, 186, 45, 207)(27, 189, 50, 212)(28, 190, 51, 213)(32, 194, 57, 219)(34, 196, 61, 223)(35, 197, 62, 224)(36, 198, 64, 226)(37, 199, 58, 220)(40, 202, 69, 231)(41, 203, 71, 233)(42, 204, 70, 232)(44, 206, 75, 237)(46, 208, 79, 241)(47, 209, 80, 242)(48, 210, 82, 244)(49, 211, 76, 238)(52, 214, 87, 249)(53, 215, 89, 251)(54, 216, 88, 250)(55, 217, 91, 253)(56, 218, 93, 255)(59, 221, 77, 239)(60, 222, 97, 259)(63, 225, 102, 264)(65, 227, 105, 267)(66, 228, 84, 246)(67, 229, 107, 269)(68, 230, 108, 270)(72, 234, 112, 274)(73, 235, 113, 275)(74, 236, 115, 277)(78, 240, 119, 281)(81, 243, 124, 286)(83, 245, 127, 289)(85, 247, 129, 291)(86, 248, 130, 292)(90, 252, 134, 296)(92, 254, 135, 297)(94, 256, 126, 288)(95, 257, 117, 279)(96, 258, 138, 300)(98, 260, 120, 282)(99, 261, 141, 303)(100, 262, 142, 304)(101, 263, 123, 285)(103, 265, 136, 298)(104, 266, 116, 278)(106, 268, 140, 302)(109, 271, 143, 305)(110, 272, 132, 294)(111, 273, 144, 306)(114, 276, 145, 307)(118, 280, 148, 310)(121, 283, 151, 313)(122, 284, 152, 314)(125, 287, 146, 308)(128, 290, 150, 312)(131, 293, 153, 315)(133, 295, 154, 316)(137, 299, 149, 311)(139, 301, 147, 309)(155, 317, 160, 322)(156, 318, 159, 321)(157, 319, 162, 324)(158, 320, 161, 323)(325, 487, 327, 489, 332, 494, 342, 504, 361, 523, 366, 528, 346, 508, 334, 496, 328, 490)(326, 488, 329, 491, 336, 498, 350, 512, 373, 535, 378, 540, 354, 516, 338, 500, 330, 492)(331, 493, 339, 501, 356, 518, 382, 544, 396, 558, 365, 527, 345, 507, 358, 520, 340, 502)(333, 495, 343, 505, 360, 522, 341, 503, 359, 521, 387, 549, 394, 556, 364, 526, 344, 506)(335, 497, 347, 509, 368, 530, 400, 562, 414, 576, 377, 539, 353, 515, 370, 532, 348, 510)(337, 499, 351, 513, 372, 534, 349, 511, 371, 533, 405, 567, 412, 574, 376, 538, 352, 514)(355, 517, 379, 541, 416, 578, 436, 598, 454, 616, 423, 585, 385, 547, 418, 580, 380, 542)(357, 519, 383, 545, 420, 582, 381, 543, 419, 581, 435, 597, 395, 557, 422, 584, 384, 546)(362, 524, 389, 551, 425, 587, 386, 548, 424, 586, 434, 596, 393, 555, 430, 592, 390, 552)(363, 525, 391, 553, 428, 590, 388, 550, 427, 589, 437, 599, 426, 588, 433, 595, 392, 554)(367, 529, 397, 559, 438, 600, 458, 620, 432, 594, 445, 607, 403, 565, 440, 602, 398, 560)(369, 531, 401, 563, 442, 604, 399, 561, 441, 603, 457, 619, 413, 575, 444, 606, 402, 564)(374, 536, 407, 569, 447, 609, 404, 566, 446, 608, 456, 618, 411, 573, 452, 614, 408, 570)(375, 537, 409, 571, 450, 612, 406, 568, 449, 611, 415, 577, 448, 610, 455, 617, 410, 572)(417, 579, 460, 622, 479, 641, 459, 621, 467, 629, 482, 644, 465, 627, 431, 593, 461, 623)(421, 583, 463, 625, 429, 591, 462, 624, 480, 642, 466, 628, 468, 630, 481, 643, 464, 626)(439, 601, 470, 632, 483, 645, 469, 631, 477, 639, 486, 648, 475, 637, 453, 615, 471, 633)(443, 605, 473, 635, 451, 613, 472, 634, 484, 646, 476, 638, 478, 640, 485, 647, 474, 636)
	L = (1, 326)(2, 325)(3, 331)(4, 333)(5, 335)(6, 337)(7, 327)(8, 341)(9, 328)(10, 345)(11, 329)(12, 349)(13, 330)(14, 353)(15, 355)(16, 357)(17, 332)(18, 350)(19, 362)(20, 363)(21, 334)(22, 354)(23, 367)(24, 369)(25, 336)(26, 342)(27, 374)(28, 375)(29, 338)(30, 346)(31, 339)(32, 381)(33, 340)(34, 385)(35, 386)(36, 388)(37, 382)(38, 343)(39, 344)(40, 393)(41, 395)(42, 394)(43, 347)(44, 399)(45, 348)(46, 403)(47, 404)(48, 406)(49, 400)(50, 351)(51, 352)(52, 411)(53, 413)(54, 412)(55, 415)(56, 417)(57, 356)(58, 361)(59, 401)(60, 421)(61, 358)(62, 359)(63, 426)(64, 360)(65, 429)(66, 408)(67, 431)(68, 432)(69, 364)(70, 366)(71, 365)(72, 436)(73, 437)(74, 439)(75, 368)(76, 373)(77, 383)(78, 443)(79, 370)(80, 371)(81, 448)(82, 372)(83, 451)(84, 390)(85, 453)(86, 454)(87, 376)(88, 378)(89, 377)(90, 458)(91, 379)(92, 459)(93, 380)(94, 450)(95, 441)(96, 462)(97, 384)(98, 444)(99, 465)(100, 466)(101, 447)(102, 387)(103, 460)(104, 440)(105, 389)(106, 464)(107, 391)(108, 392)(109, 467)(110, 456)(111, 468)(112, 396)(113, 397)(114, 469)(115, 398)(116, 428)(117, 419)(118, 472)(119, 402)(120, 422)(121, 475)(122, 476)(123, 425)(124, 405)(125, 470)(126, 418)(127, 407)(128, 474)(129, 409)(130, 410)(131, 477)(132, 434)(133, 478)(134, 414)(135, 416)(136, 427)(137, 473)(138, 420)(139, 471)(140, 430)(141, 423)(142, 424)(143, 433)(144, 435)(145, 438)(146, 449)(147, 463)(148, 442)(149, 461)(150, 452)(151, 445)(152, 446)(153, 455)(154, 457)(155, 484)(156, 483)(157, 486)(158, 485)(159, 480)(160, 479)(161, 482)(162, 481)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 2, 36, 2, 36 ), ( 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.2844
Graph:: bipartite
	v = 99 e = 324 f = 171
	degree seq :: [ 4^81, 18^18 ]

E28.2842 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 9, 18})
Quotient :: dipole
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 4>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 37>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, (Y2 * Y1)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, Y1^-1 * Y2^-1 * Y1^2 * Y2^-1 * Y1^-3, Y1^2 * Y2^-1 * Y1^5 * Y2^-1, Y1^3 * Y2^-6, (Y1 * Y2^-2)^3, (Y2 * Y1^-2 * Y2^-2 * Y1)^2, Y1^-1 * Y2^-2 * Y1 * Y2^3 * Y1^-1 * Y2^-3 * Y1^-1, Y2 * Y1^-1 * Y2 * Y1^2 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-2 * Y1^-1 ]
Map::
	R = (1, 163, 2, 164, 6, 168, 16, 178, 40, 202, 71, 233, 34, 196, 13, 175, 4, 166)(3, 165, 9, 171, 23, 185, 41, 203, 18, 180, 45, 207, 72, 234, 29, 191, 11, 173)(5, 167, 14, 176, 35, 197, 42, 204, 80, 242, 33, 195, 51, 213, 20, 182, 7, 169)(8, 170, 21, 183, 52, 214, 78, 240, 32, 194, 12, 174, 30, 192, 44, 206, 17, 179)(10, 172, 25, 187, 61, 223, 91, 253, 58, 220, 115, 277, 90, 252, 67, 229, 27, 189)(15, 177, 38, 200, 86, 248, 64, 226, 106, 268, 50, 212, 104, 266, 83, 245, 36, 198)(19, 181, 47, 209, 97, 259, 81, 243, 37, 199, 84, 246, 79, 241, 103, 265, 49, 211)(22, 184, 55, 217, 77, 239, 100, 262, 146, 308, 95, 257, 73, 235, 109, 271, 53, 215)(24, 186, 59, 221, 96, 258, 46, 208, 70, 232, 28, 190, 68, 230, 114, 276, 57, 219)(26, 188, 63, 225, 123, 285, 139, 301, 121, 283, 87, 249, 39, 201, 89, 251, 65, 227)(31, 193, 74, 236, 94, 256, 43, 205, 92, 254, 140, 302, 107, 269, 54, 216, 76, 238)(48, 210, 99, 261, 151, 313, 130, 292, 149, 311, 111, 273, 56, 218, 112, 274, 101, 263)(60, 222, 119, 281, 129, 291, 75, 237, 132, 294, 143, 305, 93, 255, 142, 304, 117, 279)(62, 224, 108, 270, 154, 316, 116, 278, 127, 289, 66, 228, 126, 288, 145, 307, 120, 282)(69, 231, 102, 264, 153, 315, 113, 275, 148, 310, 98, 260, 147, 309, 118, 280, 85, 247)(82, 244, 133, 295, 141, 303, 136, 298, 88, 250, 110, 272, 105, 267, 144, 306, 131, 293)(122, 284, 150, 312, 162, 324, 128, 290, 135, 297, 156, 318, 159, 321, 134, 296, 155, 317)(124, 286, 152, 314, 137, 299, 157, 319, 161, 323, 125, 287, 138, 300, 158, 320, 160, 322)(325, 487, 327, 489, 334, 496, 350, 512, 388, 550, 366, 528, 340, 502, 365, 527, 415, 577, 463, 625, 428, 590, 375, 537, 358, 520, 396, 558, 414, 576, 363, 525, 339, 501, 329, 491)(326, 488, 331, 493, 343, 505, 372, 534, 424, 586, 402, 564, 364, 526, 359, 521, 405, 567, 454, 616, 397, 559, 354, 516, 337, 499, 357, 519, 403, 565, 380, 542, 346, 508, 332, 494)(328, 490, 336, 498, 355, 517, 399, 561, 370, 532, 342, 504, 330, 492, 341, 503, 367, 529, 417, 579, 392, 554, 353, 515, 395, 557, 376, 538, 431, 593, 384, 546, 348, 510, 333, 495)(335, 497, 352, 514, 393, 555, 452, 614, 440, 602, 382, 544, 347, 509, 381, 543, 437, 599, 483, 645, 450, 612, 391, 553, 369, 531, 420, 582, 471, 633, 446, 608, 386, 548, 349, 511)(338, 500, 360, 522, 406, 568, 458, 620, 477, 639, 427, 589, 404, 566, 410, 572, 460, 622, 474, 636, 422, 584, 371, 533, 344, 506, 374, 536, 429, 591, 459, 621, 409, 571, 361, 523)(345, 507, 377, 539, 432, 594, 479, 641, 455, 617, 398, 560, 356, 518, 401, 563, 451, 613, 486, 648, 465, 627, 416, 578, 368, 530, 419, 581, 469, 631, 480, 642, 434, 596, 378, 540)(351, 513, 390, 552, 379, 541, 435, 597, 481, 643, 445, 607, 385, 547, 444, 606, 470, 632, 425, 587, 462, 624, 413, 575, 439, 601, 478, 640, 433, 595, 475, 637, 448, 610, 387, 549)(362, 524, 411, 573, 461, 623, 466, 628, 418, 580, 468, 630, 430, 592, 389, 551, 449, 611, 443, 605, 464, 626, 457, 619, 407, 569, 447, 609, 484, 646, 456, 618, 400, 562, 412, 574)(373, 535, 426, 588, 394, 556, 453, 615, 485, 647, 473, 635, 421, 583, 472, 634, 438, 600, 467, 629, 482, 644, 436, 598, 408, 570, 442, 604, 383, 545, 441, 603, 476, 638, 423, 585)
	L = (1, 327)(2, 331)(3, 334)(4, 336)(5, 325)(6, 341)(7, 343)(8, 326)(9, 328)(10, 350)(11, 352)(12, 355)(13, 357)(14, 360)(15, 329)(16, 365)(17, 367)(18, 330)(19, 372)(20, 374)(21, 377)(22, 332)(23, 381)(24, 333)(25, 335)(26, 388)(27, 390)(28, 393)(29, 395)(30, 337)(31, 399)(32, 401)(33, 403)(34, 396)(35, 405)(36, 406)(37, 338)(38, 411)(39, 339)(40, 359)(41, 415)(42, 340)(43, 417)(44, 419)(45, 420)(46, 342)(47, 344)(48, 424)(49, 426)(50, 429)(51, 358)(52, 431)(53, 432)(54, 345)(55, 435)(56, 346)(57, 437)(58, 347)(59, 441)(60, 348)(61, 444)(62, 349)(63, 351)(64, 366)(65, 449)(66, 379)(67, 369)(68, 353)(69, 452)(70, 453)(71, 376)(72, 414)(73, 354)(74, 356)(75, 370)(76, 412)(77, 451)(78, 364)(79, 380)(80, 410)(81, 454)(82, 458)(83, 447)(84, 442)(85, 361)(86, 460)(87, 461)(88, 362)(89, 439)(90, 363)(91, 463)(92, 368)(93, 392)(94, 468)(95, 469)(96, 471)(97, 472)(98, 371)(99, 373)(100, 402)(101, 462)(102, 394)(103, 404)(104, 375)(105, 459)(106, 389)(107, 384)(108, 479)(109, 475)(110, 378)(111, 481)(112, 408)(113, 483)(114, 467)(115, 478)(116, 382)(117, 476)(118, 383)(119, 464)(120, 470)(121, 385)(122, 386)(123, 484)(124, 387)(125, 443)(126, 391)(127, 486)(128, 440)(129, 485)(130, 397)(131, 398)(132, 400)(133, 407)(134, 477)(135, 409)(136, 474)(137, 466)(138, 413)(139, 428)(140, 457)(141, 416)(142, 418)(143, 482)(144, 430)(145, 480)(146, 425)(147, 446)(148, 438)(149, 421)(150, 422)(151, 448)(152, 423)(153, 427)(154, 433)(155, 455)(156, 434)(157, 445)(158, 436)(159, 450)(160, 456)(161, 473)(162, 465)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.2843
Graph:: bipartite
	v = 27 e = 324 f = 243
	degree seq :: [ 18^18, 36^9 ]

E28.2843 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 9, 18})
Quotient :: dipole
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 4>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 37>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-7 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2, Y3^2 * Y2 * Y3^-3 * Y2 * Y3^2 * Y2 * Y3^-1 * Y2, (Y3 * Y2 * Y3^-1 * Y2)^3, Y3^-3 * Y2 * Y3 * Y2 * Y3^2 * Y2 * Y3 * Y2 * Y3^-1, Y3^-1 * Y2 * Y3^-2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^-1, (Y3^-1 * Y2 * Y3^-2)^3, (Y3^-1 * Y1^-1)^18 ]
Map:: polytopal
	R = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)(325, 487, 326, 488)(327, 489, 331, 493)(328, 490, 333, 495)(329, 491, 335, 497)(330, 492, 337, 499)(332, 494, 341, 503)(334, 496, 345, 507)(336, 498, 349, 511)(338, 500, 353, 515)(339, 501, 355, 517)(340, 502, 357, 519)(342, 504, 361, 523)(343, 505, 363, 525)(344, 506, 365, 527)(346, 508, 369, 531)(347, 509, 371, 533)(348, 510, 373, 535)(350, 512, 377, 539)(351, 513, 379, 541)(352, 514, 381, 543)(354, 516, 385, 547)(356, 518, 389, 551)(358, 520, 393, 555)(359, 521, 395, 557)(360, 522, 397, 559)(362, 524, 401, 563)(364, 526, 405, 567)(366, 528, 409, 571)(367, 529, 411, 573)(368, 530, 413, 575)(370, 532, 417, 579)(372, 534, 421, 583)(374, 536, 425, 587)(375, 537, 427, 589)(376, 538, 429, 591)(378, 540, 433, 595)(380, 542, 437, 599)(382, 544, 441, 603)(383, 545, 443, 605)(384, 546, 445, 607)(386, 548, 449, 611)(387, 549, 419, 581)(388, 550, 435, 597)(390, 552, 453, 615)(391, 553, 423, 585)(392, 554, 439, 601)(394, 556, 457, 619)(396, 558, 428, 590)(398, 560, 444, 606)(399, 561, 461, 623)(400, 562, 462, 624)(402, 564, 464, 626)(403, 565, 420, 582)(404, 566, 436, 598)(406, 568, 454, 616)(407, 569, 424, 586)(408, 570, 440, 602)(410, 572, 459, 621)(412, 574, 430, 592)(414, 576, 446, 608)(415, 577, 455, 617)(416, 578, 463, 625)(418, 580, 458, 620)(422, 584, 467, 629)(426, 588, 471, 633)(431, 593, 475, 637)(432, 594, 476, 638)(434, 596, 478, 640)(438, 600, 468, 630)(442, 604, 473, 635)(447, 609, 469, 631)(448, 610, 477, 639)(450, 612, 472, 634)(451, 613, 474, 636)(452, 614, 466, 628)(456, 618, 470, 632)(460, 622, 465, 627)(479, 641, 484, 646)(480, 642, 483, 645)(481, 643, 486, 648)(482, 644, 485, 647)
	L = (1, 327)(2, 329)(3, 332)(4, 325)(5, 336)(6, 326)(7, 339)(8, 342)(9, 343)(10, 328)(11, 347)(12, 350)(13, 351)(14, 330)(15, 356)(16, 331)(17, 359)(18, 362)(19, 364)(20, 333)(21, 367)(22, 334)(23, 372)(24, 335)(25, 375)(26, 378)(27, 380)(28, 337)(29, 383)(30, 338)(31, 387)(32, 390)(33, 391)(34, 340)(35, 396)(36, 341)(37, 399)(38, 402)(39, 403)(40, 406)(41, 407)(42, 344)(43, 412)(44, 345)(45, 415)(46, 346)(47, 419)(48, 422)(49, 423)(50, 348)(51, 428)(52, 349)(53, 431)(54, 434)(55, 435)(56, 438)(57, 439)(58, 352)(59, 444)(60, 353)(61, 447)(62, 354)(63, 450)(64, 355)(65, 433)(66, 442)(67, 454)(68, 357)(69, 430)(70, 358)(71, 458)(72, 459)(73, 432)(74, 360)(75, 448)(76, 361)(77, 463)(78, 440)(79, 462)(80, 363)(81, 452)(82, 427)(83, 451)(84, 365)(85, 456)(86, 366)(87, 460)(88, 437)(89, 426)(90, 368)(91, 443)(92, 369)(93, 441)(94, 370)(95, 418)(96, 371)(97, 401)(98, 410)(99, 468)(100, 373)(101, 398)(102, 374)(103, 472)(104, 473)(105, 400)(106, 376)(107, 416)(108, 377)(109, 477)(110, 408)(111, 476)(112, 379)(113, 466)(114, 395)(115, 465)(116, 381)(117, 470)(118, 382)(119, 474)(120, 405)(121, 394)(122, 384)(123, 411)(124, 385)(125, 409)(126, 386)(127, 388)(128, 389)(129, 414)(130, 480)(131, 392)(132, 393)(133, 404)(134, 478)(135, 481)(136, 397)(137, 417)(138, 479)(139, 482)(140, 413)(141, 420)(142, 421)(143, 446)(144, 484)(145, 424)(146, 425)(147, 436)(148, 464)(149, 485)(150, 429)(151, 449)(152, 483)(153, 486)(154, 445)(155, 453)(156, 461)(157, 455)(158, 457)(159, 467)(160, 475)(161, 469)(162, 471)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 18, 36 ), ( 18, 36, 18, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.2842
Graph:: simple bipartite
	v = 243 e = 324 f = 27
	degree seq :: [ 2^162, 4^81 ]

E28.2844 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 9, 18})
Quotient :: dipole
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 4>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 37>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y1^-6 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1^3 * Y3 * Y1^-2 * Y3 * Y1 * Y3 * Y1^-2, Y3 * Y1 * Y3 * Y1^2 * Y3 * Y1 * Y3 * Y1^-4, (Y3 * Y1^-3)^3, (Y3 * Y1 * Y3 * Y1^-1)^3 ]
Map::
	R = (1, 163, 2, 164, 5, 167, 11, 173, 23, 185, 47, 209, 95, 257, 73, 235, 121, 283, 153, 315, 131, 293, 68, 230, 116, 278, 94, 256, 46, 208, 22, 184, 10, 172, 4, 166)(3, 165, 7, 169, 15, 177, 31, 193, 63, 225, 127, 289, 84, 246, 41, 203, 83, 245, 118, 280, 58, 220, 28, 190, 57, 219, 115, 277, 78, 240, 38, 200, 18, 180, 8, 170)(6, 168, 13, 175, 27, 189, 55, 217, 111, 273, 74, 236, 36, 198, 17, 179, 35, 197, 71, 233, 106, 268, 52, 214, 105, 267, 150, 312, 126, 288, 62, 224, 30, 192, 14, 176)(9, 171, 19, 181, 39, 201, 79, 241, 129, 291, 141, 303, 96, 258, 89, 251, 133, 295, 70, 232, 34, 196, 16, 178, 33, 195, 67, 229, 130, 292, 86, 248, 42, 204, 20, 182)(12, 174, 25, 187, 51, 213, 103, 265, 148, 310, 122, 284, 60, 222, 29, 191, 59, 221, 119, 281, 145, 307, 100, 262, 93, 255, 136, 298, 154, 316, 110, 272, 54, 216, 26, 188)(21, 183, 43, 205, 87, 249, 134, 296, 143, 305, 98, 260, 48, 210, 97, 259, 142, 304, 125, 287, 82, 244, 40, 202, 81, 243, 101, 263, 146, 308, 112, 274, 90, 252, 44, 206)(24, 186, 49, 211, 99, 261, 77, 239, 139, 301, 88, 250, 108, 270, 53, 215, 107, 269, 64, 226, 128, 290, 92, 254, 45, 207, 91, 253, 137, 299, 147, 309, 102, 264, 50, 212)(32, 194, 65, 227, 104, 266, 149, 311, 159, 321, 157, 319, 132, 294, 69, 231, 120, 282, 151, 313, 162, 324, 155, 317, 140, 302, 85, 247, 124, 286, 61, 223, 123, 285, 66, 228)(37, 199, 75, 237, 109, 271, 80, 242, 114, 276, 56, 218, 113, 275, 144, 306, 160, 322, 158, 320, 135, 297, 72, 234, 117, 279, 152, 314, 161, 323, 156, 318, 138, 300, 76, 238)(325, 487)(326, 488)(327, 489)(328, 490)(329, 491)(330, 492)(331, 493)(332, 494)(333, 495)(334, 496)(335, 497)(336, 498)(337, 499)(338, 500)(339, 501)(340, 502)(341, 503)(342, 504)(343, 505)(344, 506)(345, 507)(346, 508)(347, 509)(348, 510)(349, 511)(350, 512)(351, 513)(352, 514)(353, 515)(354, 516)(355, 517)(356, 518)(357, 519)(358, 520)(359, 521)(360, 522)(361, 523)(362, 524)(363, 525)(364, 526)(365, 527)(366, 528)(367, 529)(368, 530)(369, 531)(370, 532)(371, 533)(372, 534)(373, 535)(374, 536)(375, 537)(376, 538)(377, 539)(378, 540)(379, 541)(380, 542)(381, 543)(382, 544)(383, 545)(384, 546)(385, 547)(386, 548)(387, 549)(388, 550)(389, 551)(390, 552)(391, 553)(392, 554)(393, 555)(394, 556)(395, 557)(396, 558)(397, 559)(398, 560)(399, 561)(400, 562)(401, 563)(402, 564)(403, 565)(404, 566)(405, 567)(406, 568)(407, 569)(408, 570)(409, 571)(410, 572)(411, 573)(412, 574)(413, 575)(414, 576)(415, 577)(416, 578)(417, 579)(418, 580)(419, 581)(420, 582)(421, 583)(422, 584)(423, 585)(424, 586)(425, 587)(426, 588)(427, 589)(428, 590)(429, 591)(430, 592)(431, 593)(432, 594)(433, 595)(434, 596)(435, 597)(436, 598)(437, 599)(438, 600)(439, 601)(440, 602)(441, 603)(442, 604)(443, 605)(444, 606)(445, 607)(446, 608)(447, 609)(448, 610)(449, 611)(450, 612)(451, 613)(452, 614)(453, 615)(454, 616)(455, 617)(456, 618)(457, 619)(458, 620)(459, 621)(460, 622)(461, 623)(462, 624)(463, 625)(464, 626)(465, 627)(466, 628)(467, 629)(468, 630)(469, 631)(470, 632)(471, 633)(472, 634)(473, 635)(474, 636)(475, 637)(476, 638)(477, 639)(478, 640)(479, 641)(480, 642)(481, 643)(482, 644)(483, 645)(484, 646)(485, 647)(486, 648)
	L = (1, 327)(2, 330)(3, 325)(4, 333)(5, 336)(6, 326)(7, 340)(8, 341)(9, 328)(10, 345)(11, 348)(12, 329)(13, 352)(14, 353)(15, 356)(16, 331)(17, 332)(18, 361)(19, 364)(20, 365)(21, 334)(22, 369)(23, 372)(24, 335)(25, 376)(26, 377)(27, 380)(28, 337)(29, 338)(30, 385)(31, 388)(32, 339)(33, 392)(34, 393)(35, 396)(36, 397)(37, 342)(38, 401)(39, 404)(40, 343)(41, 344)(42, 409)(43, 412)(44, 413)(45, 346)(46, 417)(47, 420)(48, 347)(49, 424)(50, 425)(51, 428)(52, 349)(53, 350)(54, 433)(55, 436)(56, 351)(57, 440)(58, 441)(59, 444)(60, 445)(61, 354)(62, 449)(63, 437)(64, 355)(65, 453)(66, 426)(67, 422)(68, 357)(69, 358)(70, 434)(71, 458)(72, 359)(73, 360)(74, 460)(75, 461)(76, 450)(77, 362)(78, 464)(79, 443)(80, 363)(81, 455)(82, 459)(83, 456)(84, 419)(85, 366)(86, 427)(87, 447)(88, 367)(89, 368)(90, 462)(91, 446)(92, 421)(93, 370)(94, 429)(95, 408)(96, 371)(97, 416)(98, 391)(99, 468)(100, 373)(101, 374)(102, 390)(103, 410)(104, 375)(105, 418)(106, 475)(107, 476)(108, 477)(109, 378)(110, 394)(111, 473)(112, 379)(113, 387)(114, 467)(115, 465)(116, 381)(117, 382)(118, 471)(119, 403)(120, 383)(121, 384)(122, 415)(123, 411)(124, 478)(125, 386)(126, 400)(127, 474)(128, 479)(129, 389)(130, 480)(131, 405)(132, 407)(133, 482)(134, 395)(135, 406)(136, 398)(137, 399)(138, 414)(139, 481)(140, 402)(141, 439)(142, 483)(143, 438)(144, 423)(145, 485)(146, 486)(147, 442)(148, 484)(149, 435)(150, 451)(151, 430)(152, 431)(153, 432)(154, 448)(155, 452)(156, 454)(157, 463)(158, 457)(159, 466)(160, 472)(161, 469)(162, 470)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 4, 18 ), ( 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.2841
Graph:: simple bipartite
	v = 171 e = 324 f = 99
	degree seq :: [ 2^162, 36^9 ]

E28.2845 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 9, 18})
Quotient :: dipole
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 4>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 37>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (Y1 * R)^2, (R * Y3)^2, (Y1 * Y2 * R)^2, (R * Y2 * Y3^-1)^2, (Y2^-2 * R * Y1)^2, (Y2 * Y1 * R * Y2 * Y1)^2, Y2^7 * Y1 * Y2 * Y1 * Y2 * Y1, Y2^2 * Y1 * Y2^-3 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1, Y2^-3 * Y1 * Y2 * Y1 * Y2^2 * Y1 * Y2 * Y1 * Y2^-1, (Y2^-1 * Y1 * Y2^-2)^3, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1 * Y2^-1, (Y2 * Y1 * Y2^-1 * Y1)^3, (Y3 * Y2^-1)^9 ]
Map::
	R = (1, 163, 2, 164)(3, 165, 7, 169)(4, 166, 9, 171)(5, 167, 11, 173)(6, 168, 13, 175)(8, 170, 17, 179)(10, 172, 21, 183)(12, 174, 25, 187)(14, 176, 29, 191)(15, 177, 31, 193)(16, 178, 33, 195)(18, 180, 37, 199)(19, 181, 39, 201)(20, 182, 41, 203)(22, 184, 45, 207)(23, 185, 47, 209)(24, 186, 49, 211)(26, 188, 53, 215)(27, 189, 55, 217)(28, 190, 57, 219)(30, 192, 61, 223)(32, 194, 65, 227)(34, 196, 69, 231)(35, 197, 71, 233)(36, 198, 73, 235)(38, 200, 77, 239)(40, 202, 81, 243)(42, 204, 85, 247)(43, 205, 87, 249)(44, 206, 89, 251)(46, 208, 93, 255)(48, 210, 97, 259)(50, 212, 101, 263)(51, 213, 103, 265)(52, 214, 105, 267)(54, 216, 109, 271)(56, 218, 113, 275)(58, 220, 117, 279)(59, 221, 119, 281)(60, 222, 121, 283)(62, 224, 125, 287)(63, 225, 95, 257)(64, 226, 111, 273)(66, 228, 129, 291)(67, 229, 99, 261)(68, 230, 115, 277)(70, 232, 133, 295)(72, 234, 104, 266)(74, 236, 120, 282)(75, 237, 137, 299)(76, 238, 138, 300)(78, 240, 140, 302)(79, 241, 96, 258)(80, 242, 112, 274)(82, 244, 130, 292)(83, 245, 100, 262)(84, 246, 116, 278)(86, 248, 135, 297)(88, 250, 106, 268)(90, 252, 122, 284)(91, 253, 131, 293)(92, 254, 139, 301)(94, 256, 134, 296)(98, 260, 143, 305)(102, 264, 147, 309)(107, 269, 151, 313)(108, 270, 152, 314)(110, 272, 154, 316)(114, 276, 144, 306)(118, 280, 149, 311)(123, 285, 145, 307)(124, 286, 153, 315)(126, 288, 148, 310)(127, 289, 150, 312)(128, 290, 142, 304)(132, 294, 146, 308)(136, 298, 141, 303)(155, 317, 160, 322)(156, 318, 159, 321)(157, 319, 162, 324)(158, 320, 161, 323)(325, 487, 327, 489, 332, 494, 342, 504, 362, 524, 402, 564, 440, 602, 381, 543, 439, 601, 465, 627, 420, 582, 371, 533, 419, 581, 418, 580, 370, 532, 346, 508, 334, 496, 328, 490)(326, 488, 329, 491, 336, 498, 350, 512, 378, 540, 434, 596, 408, 570, 365, 527, 407, 569, 451, 613, 388, 550, 355, 517, 387, 549, 450, 612, 386, 548, 354, 516, 338, 500, 330, 492)(331, 493, 339, 501, 356, 518, 390, 552, 442, 604, 382, 544, 352, 514, 337, 499, 351, 513, 380, 542, 438, 600, 395, 557, 458, 620, 478, 640, 445, 607, 394, 556, 358, 520, 340, 502)(333, 495, 343, 505, 364, 526, 406, 568, 427, 589, 472, 634, 464, 626, 413, 575, 426, 588, 374, 536, 348, 510, 335, 497, 347, 509, 372, 534, 422, 584, 410, 572, 366, 528, 344, 506)(341, 503, 359, 521, 396, 558, 459, 621, 481, 643, 455, 617, 392, 554, 357, 519, 391, 553, 454, 616, 480, 642, 461, 623, 417, 579, 441, 603, 470, 632, 425, 587, 398, 560, 360, 522)(345, 507, 367, 529, 412, 574, 437, 599, 466, 628, 421, 583, 401, 563, 463, 625, 482, 644, 457, 619, 404, 566, 363, 525, 403, 565, 462, 624, 479, 641, 453, 615, 414, 576, 368, 530)(349, 511, 375, 537, 428, 590, 473, 635, 485, 647, 469, 631, 424, 586, 373, 535, 423, 585, 468, 630, 484, 646, 475, 637, 449, 611, 409, 571, 456, 618, 393, 555, 430, 592, 376, 538)(353, 515, 383, 545, 444, 606, 405, 567, 452, 614, 389, 551, 433, 595, 477, 639, 486, 648, 471, 633, 436, 598, 379, 541, 435, 597, 476, 638, 483, 645, 467, 629, 446, 608, 384, 546)(361, 523, 399, 561, 448, 610, 385, 547, 447, 609, 411, 573, 460, 622, 397, 559, 432, 594, 377, 539, 431, 593, 416, 578, 369, 531, 415, 577, 443, 605, 474, 636, 429, 591, 400, 562)
	L = (1, 326)(2, 325)(3, 331)(4, 333)(5, 335)(6, 337)(7, 327)(8, 341)(9, 328)(10, 345)(11, 329)(12, 349)(13, 330)(14, 353)(15, 355)(16, 357)(17, 332)(18, 361)(19, 363)(20, 365)(21, 334)(22, 369)(23, 371)(24, 373)(25, 336)(26, 377)(27, 379)(28, 381)(29, 338)(30, 385)(31, 339)(32, 389)(33, 340)(34, 393)(35, 395)(36, 397)(37, 342)(38, 401)(39, 343)(40, 405)(41, 344)(42, 409)(43, 411)(44, 413)(45, 346)(46, 417)(47, 347)(48, 421)(49, 348)(50, 425)(51, 427)(52, 429)(53, 350)(54, 433)(55, 351)(56, 437)(57, 352)(58, 441)(59, 443)(60, 445)(61, 354)(62, 449)(63, 419)(64, 435)(65, 356)(66, 453)(67, 423)(68, 439)(69, 358)(70, 457)(71, 359)(72, 428)(73, 360)(74, 444)(75, 461)(76, 462)(77, 362)(78, 464)(79, 420)(80, 436)(81, 364)(82, 454)(83, 424)(84, 440)(85, 366)(86, 459)(87, 367)(88, 430)(89, 368)(90, 446)(91, 455)(92, 463)(93, 370)(94, 458)(95, 387)(96, 403)(97, 372)(98, 467)(99, 391)(100, 407)(101, 374)(102, 471)(103, 375)(104, 396)(105, 376)(106, 412)(107, 475)(108, 476)(109, 378)(110, 478)(111, 388)(112, 404)(113, 380)(114, 468)(115, 392)(116, 408)(117, 382)(118, 473)(119, 383)(120, 398)(121, 384)(122, 414)(123, 469)(124, 477)(125, 386)(126, 472)(127, 474)(128, 466)(129, 390)(130, 406)(131, 415)(132, 470)(133, 394)(134, 418)(135, 410)(136, 465)(137, 399)(138, 400)(139, 416)(140, 402)(141, 460)(142, 452)(143, 422)(144, 438)(145, 447)(146, 456)(147, 426)(148, 450)(149, 442)(150, 451)(151, 431)(152, 432)(153, 448)(154, 434)(155, 484)(156, 483)(157, 486)(158, 485)(159, 480)(160, 479)(161, 482)(162, 481)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 2, 18, 2, 18 ), ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.2846
Graph:: bipartite
	v = 90 e = 324 f = 180
	degree seq :: [ 4^81, 36^9 ]

E28.2846 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 9, 18})
Quotient :: dipole
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 4>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 37>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-3, Y3^-1 * Y1^2 * Y3^-1 * Y1^5, (Y3^2 * Y1^-1)^3, Y1^-1 * Y3^6 * Y1^-2, (Y3 * Y1^-2 * Y3^-2 * Y1)^2, Y1^-1 * Y3^-2 * Y1 * Y3^3 * Y1^-1 * Y3^-3 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1^2 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y3^-2 * Y1^-1, (Y3 * Y2^-1)^18 ]
Map::
	R = (1, 163, 2, 164, 6, 168, 16, 178, 40, 202, 71, 233, 34, 196, 13, 175, 4, 166)(3, 165, 9, 171, 23, 185, 41, 203, 18, 180, 45, 207, 72, 234, 29, 191, 11, 173)(5, 167, 14, 176, 35, 197, 42, 204, 80, 242, 33, 195, 51, 213, 20, 182, 7, 169)(8, 170, 21, 183, 52, 214, 78, 240, 32, 194, 12, 174, 30, 192, 44, 206, 17, 179)(10, 172, 25, 187, 61, 223, 91, 253, 58, 220, 115, 277, 90, 252, 67, 229, 27, 189)(15, 177, 38, 200, 86, 248, 64, 226, 106, 268, 50, 212, 104, 266, 83, 245, 36, 198)(19, 181, 47, 209, 97, 259, 81, 243, 37, 199, 84, 246, 79, 241, 103, 265, 49, 211)(22, 184, 55, 217, 77, 239, 100, 262, 146, 308, 95, 257, 73, 235, 109, 271, 53, 215)(24, 186, 59, 221, 96, 258, 46, 208, 70, 232, 28, 190, 68, 230, 114, 276, 57, 219)(26, 188, 63, 225, 123, 285, 139, 301, 121, 283, 87, 249, 39, 201, 89, 251, 65, 227)(31, 193, 74, 236, 94, 256, 43, 205, 92, 254, 140, 302, 107, 269, 54, 216, 76, 238)(48, 210, 99, 261, 151, 313, 130, 292, 149, 311, 111, 273, 56, 218, 112, 274, 101, 263)(60, 222, 119, 281, 129, 291, 75, 237, 132, 294, 143, 305, 93, 255, 142, 304, 117, 279)(62, 224, 108, 270, 154, 316, 116, 278, 127, 289, 66, 228, 126, 288, 145, 307, 120, 282)(69, 231, 102, 264, 153, 315, 113, 275, 148, 310, 98, 260, 147, 309, 118, 280, 85, 247)(82, 244, 133, 295, 141, 303, 136, 298, 88, 250, 110, 272, 105, 267, 144, 306, 131, 293)(122, 284, 150, 312, 162, 324, 128, 290, 135, 297, 156, 318, 159, 321, 134, 296, 155, 317)(124, 286, 152, 314, 137, 299, 157, 319, 161, 323, 125, 287, 138, 300, 158, 320, 160, 322)(325, 487)(326, 488)(327, 489)(328, 490)(329, 491)(330, 492)(331, 493)(332, 494)(333, 495)(334, 496)(335, 497)(336, 498)(337, 499)(338, 500)(339, 501)(340, 502)(341, 503)(342, 504)(343, 505)(344, 506)(345, 507)(346, 508)(347, 509)(348, 510)(349, 511)(350, 512)(351, 513)(352, 514)(353, 515)(354, 516)(355, 517)(356, 518)(357, 519)(358, 520)(359, 521)(360, 522)(361, 523)(362, 524)(363, 525)(364, 526)(365, 527)(366, 528)(367, 529)(368, 530)(369, 531)(370, 532)(371, 533)(372, 534)(373, 535)(374, 536)(375, 537)(376, 538)(377, 539)(378, 540)(379, 541)(380, 542)(381, 543)(382, 544)(383, 545)(384, 546)(385, 547)(386, 548)(387, 549)(388, 550)(389, 551)(390, 552)(391, 553)(392, 554)(393, 555)(394, 556)(395, 557)(396, 558)(397, 559)(398, 560)(399, 561)(400, 562)(401, 563)(402, 564)(403, 565)(404, 566)(405, 567)(406, 568)(407, 569)(408, 570)(409, 571)(410, 572)(411, 573)(412, 574)(413, 575)(414, 576)(415, 577)(416, 578)(417, 579)(418, 580)(419, 581)(420, 582)(421, 583)(422, 584)(423, 585)(424, 586)(425, 587)(426, 588)(427, 589)(428, 590)(429, 591)(430, 592)(431, 593)(432, 594)(433, 595)(434, 596)(435, 597)(436, 598)(437, 599)(438, 600)(439, 601)(440, 602)(441, 603)(442, 604)(443, 605)(444, 606)(445, 607)(446, 608)(447, 609)(448, 610)(449, 611)(450, 612)(451, 613)(452, 614)(453, 615)(454, 616)(455, 617)(456, 618)(457, 619)(458, 620)(459, 621)(460, 622)(461, 623)(462, 624)(463, 625)(464, 626)(465, 627)(466, 628)(467, 629)(468, 630)(469, 631)(470, 632)(471, 633)(472, 634)(473, 635)(474, 636)(475, 637)(476, 638)(477, 639)(478, 640)(479, 641)(480, 642)(481, 643)(482, 644)(483, 645)(484, 646)(485, 647)(486, 648)
	L = (1, 327)(2, 331)(3, 334)(4, 336)(5, 325)(6, 341)(7, 343)(8, 326)(9, 328)(10, 350)(11, 352)(12, 355)(13, 357)(14, 360)(15, 329)(16, 365)(17, 367)(18, 330)(19, 372)(20, 374)(21, 377)(22, 332)(23, 381)(24, 333)(25, 335)(26, 388)(27, 390)(28, 393)(29, 395)(30, 337)(31, 399)(32, 401)(33, 403)(34, 396)(35, 405)(36, 406)(37, 338)(38, 411)(39, 339)(40, 359)(41, 415)(42, 340)(43, 417)(44, 419)(45, 420)(46, 342)(47, 344)(48, 424)(49, 426)(50, 429)(51, 358)(52, 431)(53, 432)(54, 345)(55, 435)(56, 346)(57, 437)(58, 347)(59, 441)(60, 348)(61, 444)(62, 349)(63, 351)(64, 366)(65, 449)(66, 379)(67, 369)(68, 353)(69, 452)(70, 453)(71, 376)(72, 414)(73, 354)(74, 356)(75, 370)(76, 412)(77, 451)(78, 364)(79, 380)(80, 410)(81, 454)(82, 458)(83, 447)(84, 442)(85, 361)(86, 460)(87, 461)(88, 362)(89, 439)(90, 363)(91, 463)(92, 368)(93, 392)(94, 468)(95, 469)(96, 471)(97, 472)(98, 371)(99, 373)(100, 402)(101, 462)(102, 394)(103, 404)(104, 375)(105, 459)(106, 389)(107, 384)(108, 479)(109, 475)(110, 378)(111, 481)(112, 408)(113, 483)(114, 467)(115, 478)(116, 382)(117, 476)(118, 383)(119, 464)(120, 470)(121, 385)(122, 386)(123, 484)(124, 387)(125, 443)(126, 391)(127, 486)(128, 440)(129, 485)(130, 397)(131, 398)(132, 400)(133, 407)(134, 477)(135, 409)(136, 474)(137, 466)(138, 413)(139, 428)(140, 457)(141, 416)(142, 418)(143, 482)(144, 430)(145, 480)(146, 425)(147, 446)(148, 438)(149, 421)(150, 422)(151, 448)(152, 423)(153, 427)(154, 433)(155, 455)(156, 434)(157, 445)(158, 436)(159, 450)(160, 456)(161, 473)(162, 465)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 4, 36 ), ( 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.2845
Graph:: simple bipartite
	v = 180 e = 324 f = 90
	degree seq :: [ 2^162, 18^18 ]

E28.2847 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 9, 18})
Quotient :: halfedge
Aut^+ = (C9 : C9) : C2 (small group id <162, 6>)
Aut   = (C9 : C9) : C2 (small group id <162, 6>)
|r| :: 1
Presentation :: [ X2^2, X2 * X1 * X2 * X1^-2 * X2 * X1^3 * X2 * X1^-2, X2 * X1^3 * X2 * X1^5 * X2 * X1, X2 * X1^-1 * X2 * X1 * X2 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1, X2 * X1^-2 * X2 * X1^2 * X2 * X1^2 * X2 * X1^-2, X2 * X1^4 * X2 * X1^-1 * X2 * X1^-2 * X2 * X1^-1, X1^18 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 47, 95, 145, 135, 72, 120, 158, 144, 94, 46, 22, 10, 4)(3, 7, 15, 31, 63, 127, 146, 125, 82, 40, 81, 101, 152, 112, 78, 38, 18, 8)(6, 13, 27, 55, 111, 89, 133, 70, 34, 16, 33, 67, 130, 154, 126, 62, 30, 14)(9, 19, 39, 79, 129, 147, 96, 77, 141, 88, 108, 53, 107, 64, 128, 86, 42, 20)(12, 25, 51, 103, 84, 41, 83, 118, 58, 28, 57, 115, 93, 138, 160, 110, 54, 26)(17, 35, 71, 106, 52, 105, 92, 45, 91, 139, 153, 102, 50, 24, 49, 99, 74, 36)(21, 43, 87, 134, 149, 98, 48, 97, 148, 122, 60, 29, 59, 119, 151, 100, 90, 44)(32, 65, 104, 155, 137, 73, 136, 159, 117, 68, 131, 156, 142, 85, 124, 61, 123, 66)(37, 75, 109, 80, 114, 56, 113, 150, 143, 162, 121, 69, 132, 157, 116, 161, 140, 76)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 48)(25, 52)(26, 53)(27, 56)(30, 61)(31, 64)(33, 68)(34, 69)(35, 72)(36, 73)(38, 77)(39, 80)(42, 85)(43, 88)(44, 89)(46, 93)(47, 96)(49, 100)(50, 101)(51, 104)(54, 109)(55, 112)(57, 116)(58, 117)(59, 120)(60, 121)(62, 125)(63, 113)(65, 129)(66, 102)(67, 98)(70, 110)(71, 134)(74, 138)(75, 139)(76, 126)(78, 142)(79, 119)(81, 132)(82, 136)(83, 135)(84, 143)(86, 97)(87, 123)(90, 140)(91, 122)(92, 127)(94, 130)(95, 146)(99, 150)(103, 154)(105, 156)(106, 157)(107, 158)(108, 159)(111, 155)(114, 149)(115, 147)(118, 153)(124, 160)(128, 161)(131, 151)(133, 145)(137, 148)(141, 162)(144, 152)
	local type(s) :: { ( 9^18 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 9 e = 81 f = 18
	degree seq :: [ 18^9 ]

E28.2848 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 9, 18})
Quotient :: halfedge
Aut^+ = (C9 : C9) : C2 (small group id <162, 6>)
Aut   = (C9 : C9) : C2 (small group id <162, 6>)
|r| :: 1
Presentation :: [ X2^2, X1^9, X1^2 * X2 * X1^-1 * X2 * X1 * X2 * X1^-2 * X2, X1 * X2 * X1 * X2 * X1^2 * X2 * X1^-4 * X2, X1^-3 * X2 * X1^-1 * X2 * X1^3 * X2 * X1 * X2, (X1^-1 * X2)^18 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 46, 22, 10, 4)(3, 7, 15, 31, 62, 75, 38, 18, 8)(6, 13, 27, 54, 101, 112, 61, 30, 14)(9, 19, 39, 76, 116, 133, 81, 42, 20)(12, 25, 50, 94, 121, 70, 100, 53, 26)(16, 33, 65, 91, 134, 150, 110, 60, 34)(17, 35, 68, 92, 55, 103, 123, 71, 36)(21, 43, 69, 120, 142, 115, 135, 84, 44)(24, 48, 90, 139, 148, 108, 140, 93, 49)(28, 56, 104, 132, 80, 131, 82, 99, 57)(29, 58, 107, 138, 95, 128, 83, 109, 59)(32, 64, 114, 130, 79, 41, 78, 98, 52)(37, 72, 40, 77, 97, 51, 96, 126, 73)(45, 85, 129, 147, 106, 146, 156, 136, 86)(47, 88, 122, 154, 124, 143, 117, 66, 89)(63, 102, 141, 157, 161, 153, 160, 151, 113)(67, 118, 145, 105, 137, 87, 125, 149, 119)(74, 111, 144, 158, 152, 159, 162, 155, 127)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 47)(25, 51)(26, 52)(27, 55)(30, 60)(31, 63)(33, 66)(34, 67)(35, 69)(36, 70)(38, 74)(39, 58)(42, 80)(43, 82)(44, 83)(46, 87)(48, 91)(49, 92)(50, 95)(53, 99)(54, 102)(56, 105)(57, 106)(59, 108)(61, 111)(62, 104)(64, 115)(65, 116)(68, 118)(71, 122)(72, 124)(73, 125)(75, 128)(76, 113)(77, 93)(78, 129)(79, 112)(81, 127)(84, 134)(85, 110)(86, 123)(88, 132)(89, 138)(90, 130)(94, 141)(96, 136)(97, 142)(98, 143)(100, 144)(101, 126)(103, 133)(107, 146)(109, 149)(114, 137)(117, 152)(119, 153)(120, 151)(121, 150)(131, 148)(135, 155)(139, 157)(140, 158)(145, 159)(147, 160)(154, 161)(156, 162)
	local type(s) :: { ( 18^9 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 18 e = 81 f = 9
	degree seq :: [ 9^18 ]

E28.2849 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 9, 18})
Quotient :: edge
Aut^+ = (C9 : C9) : C2 (small group id <162, 6>)
Aut   = (C9 : C9) : C2 (small group id <162, 6>)
|r| :: 1
Presentation :: [ X1^2, X2^9, X2^2 * X1 * X2^-1 * X1 * X2 * X1 * X2^-2 * X1, X1 * X2^-2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2^4, X1 * X2 * X1 * X2 * X1 * X2^2 * X1 * X2^-4, X2^-2 * X1 * X2 * X1 * X2^3 * X1 * X2^-1 * X1 * X2^-1, (X2^-1 * X1)^18 ]
Map:: polytopal
	R = (1, 2)(3, 7)(4, 9)(5, 11)(6, 13)(8, 17)(10, 21)(12, 25)(14, 29)(15, 31)(16, 33)(18, 37)(19, 39)(20, 41)(22, 45)(23, 47)(24, 49)(26, 53)(27, 55)(28, 57)(30, 61)(32, 65)(34, 50)(35, 70)(36, 52)(38, 75)(40, 67)(42, 80)(43, 82)(44, 83)(46, 87)(48, 90)(51, 95)(54, 100)(56, 92)(58, 105)(59, 107)(60, 108)(62, 112)(63, 113)(64, 114)(66, 98)(68, 119)(69, 110)(71, 124)(72, 115)(73, 91)(74, 102)(76, 127)(77, 99)(78, 129)(79, 121)(81, 111)(84, 134)(85, 94)(86, 106)(88, 138)(89, 139)(93, 142)(96, 137)(97, 140)(101, 147)(103, 148)(104, 144)(109, 117)(116, 133)(118, 151)(120, 143)(122, 136)(123, 145)(125, 146)(126, 130)(128, 132)(131, 154)(135, 150)(141, 157)(149, 160)(152, 159)(153, 158)(155, 161)(156, 162)(163, 165, 170, 180, 200, 208, 184, 172, 166)(164, 167, 174, 188, 216, 224, 192, 176, 168)(169, 177, 194, 228, 279, 283, 231, 196, 178)(171, 181, 202, 239, 252, 295, 243, 204, 182)(173, 185, 210, 253, 296, 306, 256, 212, 186)(175, 189, 218, 264, 227, 278, 268, 220, 190)(179, 197, 233, 287, 266, 219, 265, 234, 198)(183, 205, 217, 263, 307, 257, 297, 246, 206)(187, 213, 258, 292, 241, 203, 240, 259, 214)(191, 221, 201, 238, 285, 232, 284, 271, 222)(193, 225, 262, 294, 242, 293, 244, 277, 226)(195, 229, 280, 300, 286, 274, 245, 282, 230)(199, 235, 288, 317, 316, 281, 315, 289, 236)(207, 247, 291, 314, 276, 313, 318, 298, 248)(209, 250, 237, 290, 267, 311, 269, 302, 251)(211, 254, 303, 275, 299, 249, 270, 305, 255)(215, 260, 308, 323, 322, 304, 321, 309, 261)(223, 272, 310, 320, 301, 319, 324, 312, 273)
	L = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 36, 36 ), ( 36^9 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 99 e = 162 f = 9
	degree seq :: [ 2^81, 9^18 ]

E28.2850 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 9, 18})
Quotient :: edge
Aut^+ = (C9 : C9) : C2 (small group id <162, 6>)
Aut   = (C9 : C9) : C2 (small group id <162, 6>)
|r| :: 1
Presentation :: [ (X1^-1 * X2^-1)^2, X1 * X2^-3 * X1 * X2^-1 * X1^3, X1^2 * X2^-2 * X1 * X2^-4, X1^3 * X2^-1 * X1 * X2^-1 * X1 * X2^-2, X1^9, X1^-1 * X2^-1 * X1^2 * X2 * X1^-1 * X2^-2 * X1^-2, X2^18 ]
Map:: polytopal non-degenerate
	R = (1, 2, 6, 16, 40, 85, 34, 13, 4)(3, 9, 23, 57, 125, 95, 73, 29, 11)(5, 14, 35, 86, 77, 119, 51, 20, 7)(8, 21, 52, 66, 26, 64, 105, 44, 17)(10, 25, 62, 99, 87, 37, 91, 68, 27)(12, 30, 74, 109, 153, 131, 92, 80, 32)(15, 38, 93, 79, 111, 150, 104, 90, 36)(18, 45, 106, 112, 48, 110, 146, 100, 41)(19, 47, 108, 144, 120, 54, 82, 114, 49)(22, 55, 71, 28, 69, 138, 75, 123, 53)(24, 60, 107, 46, 65, 117, 50, 115, 58)(31, 76, 103, 43, 101, 59, 128, 97, 78)(33, 81, 132, 63, 122, 158, 129, 136, 83)(39, 96, 70, 113, 157, 127, 145, 133, 94)(42, 67, 137, 148, 102, 147, 130, 61, 98)(56, 84, 116, 149, 140, 89, 141, 154, 124)(72, 118, 151, 135, 156, 143, 160, 162, 139)(88, 121, 152, 161, 142, 159, 134, 155, 126)(163, 165, 172, 188, 227, 298, 324, 316, 270, 236, 300, 310, 314, 268, 259, 201, 177, 167)(164, 169, 181, 210, 273, 242, 301, 291, 221, 185, 220, 289, 323, 299, 230, 218, 184, 170)(166, 174, 193, 239, 217, 286, 322, 295, 224, 294, 312, 274, 283, 214, 282, 223, 186, 171)(168, 179, 205, 264, 231, 191, 234, 254, 199, 176, 198, 251, 304, 319, 276, 245, 208, 180)(173, 190, 232, 202, 260, 306, 303, 252, 267, 313, 281, 240, 207, 269, 315, 296, 225, 187)(175, 195, 244, 257, 200, 256, 305, 309, 265, 311, 279, 228, 250, 197, 249, 262, 237, 192)(178, 203, 261, 307, 277, 213, 280, 235, 216, 183, 215, 284, 321, 302, 238, 194, 241, 204)(182, 212, 278, 247, 258, 290, 320, 285, 308, 297, 226, 189, 229, 255, 287, 317, 271, 209)(196, 246, 253, 293, 222, 292, 318, 272, 211, 275, 233, 248, 288, 219, 263, 206, 266, 243)
	L = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 4^9 ), ( 4^18 ) }
Outer automorphisms :: chiral
Dual of E28.2852
Transitivity :: ET+
Graph:: simple bipartite
	v = 27 e = 162 f = 81
	degree seq :: [ 9^18, 18^9 ]

E28.2851 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 9, 18})
Quotient :: edge
Aut^+ = (C9 : C9) : C2 (small group id <162, 6>)
Aut   = (C9 : C9) : C2 (small group id <162, 6>)
|r| :: 1
Presentation :: [ X2^2, X2 * X1 * X2 * X1^-2 * X2 * X1^3 * X2 * X1^-2, X2 * X1^3 * X2 * X1^5 * X2 * X1, X2 * X1^-1 * X2 * X1 * X2 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1, X2 * X1^-2 * X2 * X1^2 * X2 * X1^2 * X2 * X1^-2, X2 * X1^4 * X2 * X1^-1 * X2 * X1^-2 * X2 * X1^-1, X1^18 ]
Map:: polytopal
	R = (1, 2, 5, 11, 23, 47, 95, 145, 135, 72, 120, 158, 144, 94, 46, 22, 10, 4)(3, 7, 15, 31, 63, 127, 146, 125, 82, 40, 81, 101, 152, 112, 78, 38, 18, 8)(6, 13, 27, 55, 111, 89, 133, 70, 34, 16, 33, 67, 130, 154, 126, 62, 30, 14)(9, 19, 39, 79, 129, 147, 96, 77, 141, 88, 108, 53, 107, 64, 128, 86, 42, 20)(12, 25, 51, 103, 84, 41, 83, 118, 58, 28, 57, 115, 93, 138, 160, 110, 54, 26)(17, 35, 71, 106, 52, 105, 92, 45, 91, 139, 153, 102, 50, 24, 49, 99, 74, 36)(21, 43, 87, 134, 149, 98, 48, 97, 148, 122, 60, 29, 59, 119, 151, 100, 90, 44)(32, 65, 104, 155, 137, 73, 136, 159, 117, 68, 131, 156, 142, 85, 124, 61, 123, 66)(37, 75, 109, 80, 114, 56, 113, 150, 143, 162, 121, 69, 132, 157, 116, 161, 140, 76)(163, 165)(164, 168)(166, 171)(167, 174)(169, 178)(170, 179)(172, 183)(173, 186)(175, 190)(176, 191)(177, 194)(180, 199)(181, 202)(182, 203)(184, 207)(185, 210)(187, 214)(188, 215)(189, 218)(192, 223)(193, 226)(195, 230)(196, 231)(197, 234)(198, 235)(200, 239)(201, 242)(204, 247)(205, 250)(206, 251)(208, 255)(209, 258)(211, 262)(212, 263)(213, 266)(216, 271)(217, 274)(219, 278)(220, 279)(221, 282)(222, 283)(224, 287)(225, 275)(227, 291)(228, 264)(229, 260)(232, 272)(233, 296)(236, 300)(237, 301)(238, 288)(240, 304)(241, 281)(243, 294)(244, 298)(245, 297)(246, 305)(248, 259)(249, 285)(252, 302)(253, 284)(254, 289)(256, 292)(257, 308)(261, 312)(265, 316)(267, 318)(268, 319)(269, 320)(270, 321)(273, 317)(276, 311)(277, 309)(280, 315)(286, 322)(290, 323)(293, 313)(295, 307)(299, 310)(303, 324)(306, 314)
	L = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 18, 18 ), ( 18^18 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 90 e = 162 f = 18
	degree seq :: [ 2^81, 18^9 ]

E28.2852 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 9, 18})
Quotient :: loop
Aut^+ = (C9 : C9) : C2 (small group id <162, 6>)
Aut   = (C9 : C9) : C2 (small group id <162, 6>)
|r| :: 1
Presentation :: [ X1^2, X2^9, X2^2 * X1 * X2^-1 * X1 * X2 * X1 * X2^-2 * X1, X1 * X2^-2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2^4, X1 * X2 * X1 * X2 * X1 * X2^2 * X1 * X2^-4, X2^-2 * X1 * X2 * X1 * X2^3 * X1 * X2^-1 * X1 * X2^-1, (X2^-1 * X1)^18 ]
Map:: polytopal non-degenerate
	R = (1, 163, 2, 164)(3, 165, 7, 169)(4, 166, 9, 171)(5, 167, 11, 173)(6, 168, 13, 175)(8, 170, 17, 179)(10, 172, 21, 183)(12, 174, 25, 187)(14, 176, 29, 191)(15, 177, 31, 193)(16, 178, 33, 195)(18, 180, 37, 199)(19, 181, 39, 201)(20, 182, 41, 203)(22, 184, 45, 207)(23, 185, 47, 209)(24, 186, 49, 211)(26, 188, 53, 215)(27, 189, 55, 217)(28, 190, 57, 219)(30, 192, 61, 223)(32, 194, 65, 227)(34, 196, 50, 212)(35, 197, 70, 232)(36, 198, 52, 214)(38, 200, 75, 237)(40, 202, 67, 229)(42, 204, 80, 242)(43, 205, 82, 244)(44, 206, 83, 245)(46, 208, 87, 249)(48, 210, 90, 252)(51, 213, 95, 257)(54, 216, 100, 262)(56, 218, 92, 254)(58, 220, 105, 267)(59, 221, 107, 269)(60, 222, 108, 270)(62, 224, 112, 274)(63, 225, 113, 275)(64, 226, 114, 276)(66, 228, 98, 260)(68, 230, 119, 281)(69, 231, 110, 272)(71, 233, 124, 286)(72, 234, 115, 277)(73, 235, 91, 253)(74, 236, 102, 264)(76, 238, 127, 289)(77, 239, 99, 261)(78, 240, 129, 291)(79, 241, 121, 283)(81, 243, 111, 273)(84, 246, 134, 296)(85, 247, 94, 256)(86, 248, 106, 268)(88, 250, 138, 300)(89, 251, 139, 301)(93, 255, 142, 304)(96, 258, 137, 299)(97, 259, 140, 302)(101, 263, 147, 309)(103, 265, 148, 310)(104, 266, 144, 306)(109, 271, 117, 279)(116, 278, 133, 295)(118, 280, 151, 313)(120, 282, 143, 305)(122, 284, 136, 298)(123, 285, 145, 307)(125, 287, 146, 308)(126, 288, 130, 292)(128, 290, 132, 294)(131, 293, 154, 316)(135, 297, 150, 312)(141, 303, 157, 319)(149, 311, 160, 322)(152, 314, 159, 321)(153, 315, 158, 320)(155, 317, 161, 323)(156, 318, 162, 324)
	L = (1, 165)(2, 167)(3, 170)(4, 163)(5, 174)(6, 164)(7, 177)(8, 180)(9, 181)(10, 166)(11, 185)(12, 188)(13, 189)(14, 168)(15, 194)(16, 169)(17, 197)(18, 200)(19, 202)(20, 171)(21, 205)(22, 172)(23, 210)(24, 173)(25, 213)(26, 216)(27, 218)(28, 175)(29, 221)(30, 176)(31, 225)(32, 228)(33, 229)(34, 178)(35, 233)(36, 179)(37, 235)(38, 208)(39, 238)(40, 239)(41, 240)(42, 182)(43, 217)(44, 183)(45, 247)(46, 184)(47, 250)(48, 253)(49, 254)(50, 186)(51, 258)(52, 187)(53, 260)(54, 224)(55, 263)(56, 264)(57, 265)(58, 190)(59, 201)(60, 191)(61, 272)(62, 192)(63, 262)(64, 193)(65, 278)(66, 279)(67, 280)(68, 195)(69, 196)(70, 284)(71, 287)(72, 198)(73, 288)(74, 199)(75, 290)(76, 285)(77, 252)(78, 259)(79, 203)(80, 293)(81, 204)(82, 277)(83, 282)(84, 206)(85, 291)(86, 207)(87, 270)(88, 237)(89, 209)(90, 295)(91, 296)(92, 303)(93, 211)(94, 212)(95, 297)(96, 292)(97, 214)(98, 308)(99, 215)(100, 294)(101, 307)(102, 227)(103, 234)(104, 219)(105, 311)(106, 220)(107, 302)(108, 305)(109, 222)(110, 310)(111, 223)(112, 245)(113, 299)(114, 313)(115, 226)(116, 268)(117, 283)(118, 300)(119, 315)(120, 230)(121, 231)(122, 271)(123, 232)(124, 274)(125, 266)(126, 317)(127, 236)(128, 267)(129, 314)(130, 241)(131, 244)(132, 242)(133, 243)(134, 306)(135, 246)(136, 248)(137, 249)(138, 286)(139, 319)(140, 251)(141, 275)(142, 321)(143, 255)(144, 256)(145, 257)(146, 323)(147, 261)(148, 320)(149, 269)(150, 273)(151, 318)(152, 276)(153, 289)(154, 281)(155, 316)(156, 298)(157, 324)(158, 301)(159, 309)(160, 304)(161, 322)(162, 312)
	local type(s) :: { ( 9, 18, 9, 18 ) }
Outer automorphisms :: chiral
Dual of E28.2850
Transitivity :: ET+ VT+
Graph:: simple
	v = 81 e = 162 f = 27
	degree seq :: [ 4^81 ]

E28.2853 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 9, 18})
Quotient :: loop
Aut^+ = (C9 : C9) : C2 (small group id <162, 6>)
Aut   = (C9 : C9) : C2 (small group id <162, 6>)
|r| :: 1
Presentation :: [ (X1^-1 * X2^-1)^2, X1 * X2^-3 * X1 * X2^-1 * X1^3, X1^2 * X2^-2 * X1 * X2^-4, X1^3 * X2^-1 * X1 * X2^-1 * X1 * X2^-2, X1^9, X1^-1 * X2^-1 * X1^2 * X2 * X1^-1 * X2^-2 * X1^-2, X2^18 ]
Map::
	R = (1, 163, 2, 164, 6, 168, 16, 178, 40, 202, 85, 247, 34, 196, 13, 175, 4, 166)(3, 165, 9, 171, 23, 185, 57, 219, 125, 287, 95, 257, 73, 235, 29, 191, 11, 173)(5, 167, 14, 176, 35, 197, 86, 248, 77, 239, 119, 281, 51, 213, 20, 182, 7, 169)(8, 170, 21, 183, 52, 214, 66, 228, 26, 188, 64, 226, 105, 267, 44, 206, 17, 179)(10, 172, 25, 187, 62, 224, 99, 261, 87, 249, 37, 199, 91, 253, 68, 230, 27, 189)(12, 174, 30, 192, 74, 236, 109, 271, 153, 315, 131, 293, 92, 254, 80, 242, 32, 194)(15, 177, 38, 200, 93, 255, 79, 241, 111, 273, 150, 312, 104, 266, 90, 252, 36, 198)(18, 180, 45, 207, 106, 268, 112, 274, 48, 210, 110, 272, 146, 308, 100, 262, 41, 203)(19, 181, 47, 209, 108, 270, 144, 306, 120, 282, 54, 216, 82, 244, 114, 276, 49, 211)(22, 184, 55, 217, 71, 233, 28, 190, 69, 231, 138, 300, 75, 237, 123, 285, 53, 215)(24, 186, 60, 222, 107, 269, 46, 208, 65, 227, 117, 279, 50, 212, 115, 277, 58, 220)(31, 193, 76, 238, 103, 265, 43, 205, 101, 263, 59, 221, 128, 290, 97, 259, 78, 240)(33, 195, 81, 243, 132, 294, 63, 225, 122, 284, 158, 320, 129, 291, 136, 298, 83, 245)(39, 201, 96, 258, 70, 232, 113, 275, 157, 319, 127, 289, 145, 307, 133, 295, 94, 256)(42, 204, 67, 229, 137, 299, 148, 310, 102, 264, 147, 309, 130, 292, 61, 223, 98, 260)(56, 218, 84, 246, 116, 278, 149, 311, 140, 302, 89, 251, 141, 303, 154, 316, 124, 286)(72, 234, 118, 280, 151, 313, 135, 297, 156, 318, 143, 305, 160, 322, 162, 324, 139, 301)(88, 250, 121, 283, 152, 314, 161, 323, 142, 304, 159, 321, 134, 296, 155, 317, 126, 288)
	L = (1, 165)(2, 169)(3, 172)(4, 174)(5, 163)(6, 179)(7, 181)(8, 164)(9, 166)(10, 188)(11, 190)(12, 193)(13, 195)(14, 198)(15, 167)(16, 203)(17, 205)(18, 168)(19, 210)(20, 212)(21, 215)(22, 170)(23, 220)(24, 171)(25, 173)(26, 227)(27, 229)(28, 232)(29, 234)(30, 175)(31, 239)(32, 241)(33, 244)(34, 246)(35, 249)(36, 251)(37, 176)(38, 256)(39, 177)(40, 260)(41, 261)(42, 178)(43, 264)(44, 266)(45, 269)(46, 180)(47, 182)(48, 273)(49, 275)(50, 278)(51, 280)(52, 282)(53, 284)(54, 183)(55, 286)(56, 184)(57, 263)(58, 289)(59, 185)(60, 292)(61, 186)(62, 294)(63, 187)(64, 189)(65, 298)(66, 250)(67, 255)(68, 218)(69, 191)(70, 202)(71, 248)(72, 254)(73, 216)(74, 300)(75, 192)(76, 194)(77, 217)(78, 207)(79, 204)(80, 301)(81, 196)(82, 257)(83, 208)(84, 253)(85, 258)(86, 288)(87, 262)(88, 197)(89, 304)(90, 267)(91, 293)(92, 199)(93, 287)(94, 305)(95, 200)(96, 290)(97, 201)(98, 306)(99, 307)(100, 237)(101, 206)(102, 231)(103, 311)(104, 243)(105, 313)(106, 259)(107, 315)(108, 236)(109, 209)(110, 211)(111, 242)(112, 283)(113, 233)(114, 245)(115, 213)(116, 247)(117, 228)(118, 235)(119, 240)(120, 223)(121, 214)(122, 321)(123, 308)(124, 322)(125, 317)(126, 219)(127, 323)(128, 320)(129, 221)(130, 318)(131, 222)(132, 312)(133, 224)(134, 225)(135, 226)(136, 324)(137, 230)(138, 310)(139, 291)(140, 238)(141, 252)(142, 319)(143, 309)(144, 303)(145, 277)(146, 297)(147, 265)(148, 314)(149, 279)(150, 274)(151, 281)(152, 268)(153, 296)(154, 270)(155, 271)(156, 272)(157, 276)(158, 285)(159, 302)(160, 295)(161, 299)(162, 316)
	local type(s) :: { ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 18 e = 162 f = 90
	degree seq :: [ 18^18 ]

E28.2854 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 9, 18})
Quotient :: loop
Aut^+ = (C9 : C9) : C2 (small group id <162, 6>)
Aut   = (C9 : C9) : C2 (small group id <162, 6>)
|r| :: 1
Presentation :: [ X2^2, X2 * X1 * X2 * X1^-2 * X2 * X1^3 * X2 * X1^-2, X2 * X1^3 * X2 * X1^5 * X2 * X1, X2 * X1^-1 * X2 * X1 * X2 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1, X2 * X1^-2 * X2 * X1^2 * X2 * X1^2 * X2 * X1^-2, X2 * X1^4 * X2 * X1^-1 * X2 * X1^-2 * X2 * X1^-1, X1^18 ]
Map::
	R = (1, 163, 2, 164, 5, 167, 11, 173, 23, 185, 47, 209, 95, 257, 145, 307, 135, 297, 72, 234, 120, 282, 158, 320, 144, 306, 94, 256, 46, 208, 22, 184, 10, 172, 4, 166)(3, 165, 7, 169, 15, 177, 31, 193, 63, 225, 127, 289, 146, 308, 125, 287, 82, 244, 40, 202, 81, 243, 101, 263, 152, 314, 112, 274, 78, 240, 38, 200, 18, 180, 8, 170)(6, 168, 13, 175, 27, 189, 55, 217, 111, 273, 89, 251, 133, 295, 70, 232, 34, 196, 16, 178, 33, 195, 67, 229, 130, 292, 154, 316, 126, 288, 62, 224, 30, 192, 14, 176)(9, 171, 19, 181, 39, 201, 79, 241, 129, 291, 147, 309, 96, 258, 77, 239, 141, 303, 88, 250, 108, 270, 53, 215, 107, 269, 64, 226, 128, 290, 86, 248, 42, 204, 20, 182)(12, 174, 25, 187, 51, 213, 103, 265, 84, 246, 41, 203, 83, 245, 118, 280, 58, 220, 28, 190, 57, 219, 115, 277, 93, 255, 138, 300, 160, 322, 110, 272, 54, 216, 26, 188)(17, 179, 35, 197, 71, 233, 106, 268, 52, 214, 105, 267, 92, 254, 45, 207, 91, 253, 139, 301, 153, 315, 102, 264, 50, 212, 24, 186, 49, 211, 99, 261, 74, 236, 36, 198)(21, 183, 43, 205, 87, 249, 134, 296, 149, 311, 98, 260, 48, 210, 97, 259, 148, 310, 122, 284, 60, 222, 29, 191, 59, 221, 119, 281, 151, 313, 100, 262, 90, 252, 44, 206)(32, 194, 65, 227, 104, 266, 155, 317, 137, 299, 73, 235, 136, 298, 159, 321, 117, 279, 68, 230, 131, 293, 156, 318, 142, 304, 85, 247, 124, 286, 61, 223, 123, 285, 66, 228)(37, 199, 75, 237, 109, 271, 80, 242, 114, 276, 56, 218, 113, 275, 150, 312, 143, 305, 162, 324, 121, 283, 69, 231, 132, 294, 157, 319, 116, 278, 161, 323, 140, 302, 76, 238)
	L = (1, 165)(2, 168)(3, 163)(4, 171)(5, 174)(6, 164)(7, 178)(8, 179)(9, 166)(10, 183)(11, 186)(12, 167)(13, 190)(14, 191)(15, 194)(16, 169)(17, 170)(18, 199)(19, 202)(20, 203)(21, 172)(22, 207)(23, 210)(24, 173)(25, 214)(26, 215)(27, 218)(28, 175)(29, 176)(30, 223)(31, 226)(32, 177)(33, 230)(34, 231)(35, 234)(36, 235)(37, 180)(38, 239)(39, 242)(40, 181)(41, 182)(42, 247)(43, 250)(44, 251)(45, 184)(46, 255)(47, 258)(48, 185)(49, 262)(50, 263)(51, 266)(52, 187)(53, 188)(54, 271)(55, 274)(56, 189)(57, 278)(58, 279)(59, 282)(60, 283)(61, 192)(62, 287)(63, 275)(64, 193)(65, 291)(66, 264)(67, 260)(68, 195)(69, 196)(70, 272)(71, 296)(72, 197)(73, 198)(74, 300)(75, 301)(76, 288)(77, 200)(78, 304)(79, 281)(80, 201)(81, 294)(82, 298)(83, 297)(84, 305)(85, 204)(86, 259)(87, 285)(88, 205)(89, 206)(90, 302)(91, 284)(92, 289)(93, 208)(94, 292)(95, 308)(96, 209)(97, 248)(98, 229)(99, 312)(100, 211)(101, 212)(102, 228)(103, 316)(104, 213)(105, 318)(106, 319)(107, 320)(108, 321)(109, 216)(110, 232)(111, 317)(112, 217)(113, 225)(114, 311)(115, 309)(116, 219)(117, 220)(118, 315)(119, 241)(120, 221)(121, 222)(122, 253)(123, 249)(124, 322)(125, 224)(126, 238)(127, 254)(128, 323)(129, 227)(130, 256)(131, 313)(132, 243)(133, 307)(134, 233)(135, 245)(136, 244)(137, 310)(138, 236)(139, 237)(140, 252)(141, 324)(142, 240)(143, 246)(144, 314)(145, 295)(146, 257)(147, 277)(148, 299)(149, 276)(150, 261)(151, 293)(152, 306)(153, 280)(154, 265)(155, 273)(156, 267)(157, 268)(158, 269)(159, 270)(160, 286)(161, 290)(162, 303)
	local type(s) :: { ( 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph::
	v = 9 e = 162 f = 99
	degree seq :: [ 36^9 ]

E28.2855 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 9, 18})
Quotient :: regular
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 12>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 40>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^5 * T2 * T1^-1 * T2 * T1^-1 * T2, (T1^-2 * T2 * T1^-1)^3, (T2 * T1 * T2 * T1^-1)^3, T2 * T1^-2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-2, T1^-2 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 47, 85, 129, 156, 162, 161, 154, 117, 70, 46, 22, 10, 4)(3, 7, 15, 31, 58, 28, 57, 100, 146, 160, 144, 124, 78, 41, 75, 38, 18, 8)(6, 13, 27, 55, 93, 52, 92, 138, 120, 155, 119, 71, 36, 17, 35, 62, 30, 14)(9, 19, 39, 68, 34, 16, 33, 66, 112, 142, 109, 147, 127, 82, 126, 80, 42, 20)(12, 25, 51, 90, 134, 88, 133, 118, 150, 115, 149, 103, 60, 29, 59, 96, 54, 26)(21, 43, 81, 123, 77, 40, 48, 86, 130, 106, 145, 113, 153, 128, 143, 97, 83, 44)(24, 49, 87, 74, 110, 131, 158, 148, 108, 63, 107, 84, 45, 53, 94, 136, 89, 50)(32, 64, 91, 137, 157, 151, 125, 79, 105, 61, 104, 135, 114, 67, 102, 139, 111, 65)(37, 72, 95, 141, 116, 69, 101, 140, 122, 76, 99, 56, 98, 132, 159, 152, 121, 73)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 48)(25, 52)(26, 53)(27, 56)(30, 61)(31, 63)(33, 47)(34, 67)(35, 69)(36, 70)(38, 74)(39, 76)(42, 79)(43, 50)(44, 82)(46, 60)(49, 88)(51, 91)(54, 95)(55, 97)(57, 85)(58, 101)(59, 102)(62, 106)(64, 109)(65, 110)(66, 113)(68, 115)(71, 118)(72, 108)(73, 120)(75, 114)(77, 116)(78, 117)(80, 90)(81, 111)(83, 121)(84, 128)(86, 131)(87, 132)(89, 135)(92, 129)(93, 139)(94, 140)(96, 142)(98, 144)(99, 145)(100, 147)(103, 148)(104, 143)(105, 150)(107, 151)(112, 152)(119, 137)(122, 134)(123, 155)(124, 138)(125, 146)(126, 141)(127, 154)(130, 157)(133, 156)(136, 160)(149, 159)(153, 161)(158, 162)
	local type(s) :: { ( 9^18 ) }
Outer automorphisms :: reflexible
Dual of E28.2856
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 9 e = 81 f = 18
	degree seq :: [ 18^9 ]

E28.2856 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 9, 18})
Quotient :: regular
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 12>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 40>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^3 * T2 * T1^-2, T1^9, (T2 * T1^-1 * T2 * T1)^3, T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^-1 * T2, T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^2 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 42, 22, 10, 4)(3, 7, 15, 24, 44, 64, 37, 18, 8)(6, 13, 27, 43, 72, 41, 21, 30, 14)(9, 19, 26, 12, 25, 45, 70, 40, 20)(16, 32, 56, 73, 104, 63, 36, 59, 33)(17, 34, 55, 31, 54, 89, 102, 62, 35)(28, 49, 81, 112, 125, 88, 53, 84, 50)(29, 51, 80, 48, 79, 111, 71, 87, 52)(38, 65, 76, 46, 75, 110, 69, 106, 66)(39, 67, 78, 47, 77, 113, 74, 109, 68)(57, 93, 129, 139, 144, 132, 96, 108, 94)(58, 85, 121, 92, 117, 138, 103, 123, 95)(60, 97, 115, 90, 127, 137, 101, 134, 98)(61, 99, 82, 91, 128, 151, 126, 136, 100)(83, 116, 145, 119, 142, 150, 124, 107, 120)(86, 122, 114, 118, 146, 141, 143, 140, 105)(130, 153, 162, 154, 160, 149, 157, 135, 155)(131, 156, 152, 148, 147, 159, 161, 158, 133)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 31)(18, 36)(19, 38)(20, 39)(22, 37)(23, 43)(25, 46)(26, 47)(27, 48)(30, 53)(32, 57)(33, 58)(34, 60)(35, 61)(40, 69)(41, 71)(42, 70)(44, 73)(45, 74)(49, 82)(50, 83)(51, 85)(52, 86)(54, 90)(55, 91)(56, 92)(59, 96)(62, 101)(63, 103)(64, 102)(65, 105)(66, 98)(67, 107)(68, 108)(72, 112)(75, 114)(76, 115)(77, 116)(78, 93)(79, 117)(80, 118)(81, 119)(84, 100)(87, 123)(88, 124)(89, 126)(94, 130)(95, 131)(97, 133)(99, 135)(104, 139)(106, 141)(109, 142)(110, 137)(111, 143)(113, 144)(120, 147)(121, 148)(122, 149)(125, 151)(127, 152)(128, 153)(129, 154)(132, 157)(134, 159)(136, 160)(138, 161)(140, 162)(145, 158)(146, 155)(150, 156)
	local type(s) :: { ( 18^9 ) }
Outer automorphisms :: reflexible
Dual of E28.2855
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 18 e = 81 f = 9
	degree seq :: [ 9^18 ]

E28.2857 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 9, 18})
Quotient :: edge
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 12>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 40>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-3 * T1 * T2^2, T2^9, (T1 * T2 * T1 * T2^-1)^3, T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^2, T1 * T2 * T1 * T2^2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-1 ]
Map::
	R = (1, 3, 8, 18, 37, 42, 22, 10, 4)(2, 5, 12, 26, 49, 54, 30, 14, 6)(7, 15, 32, 58, 72, 41, 21, 34, 16)(9, 19, 36, 17, 35, 63, 70, 40, 20)(11, 23, 44, 76, 90, 53, 29, 46, 24)(13, 27, 48, 25, 47, 81, 88, 52, 28)(31, 55, 92, 112, 137, 99, 61, 94, 56)(33, 59, 96, 57, 95, 111, 71, 98, 60)(38, 65, 101, 62, 100, 110, 69, 106, 66)(39, 67, 104, 64, 103, 139, 102, 109, 68)(43, 73, 113, 130, 150, 119, 79, 108, 74)(45, 77, 116, 75, 115, 129, 89, 118, 78)(50, 83, 121, 80, 120, 128, 87, 125, 84)(51, 85, 91, 82, 123, 152, 122, 127, 86)(93, 132, 157, 131, 142, 161, 136, 107, 133)(97, 135, 138, 134, 159, 141, 143, 140, 105)(114, 145, 162, 144, 155, 160, 149, 126, 146)(117, 148, 151, 147, 158, 154, 156, 153, 124)(163, 164)(165, 169)(166, 171)(167, 173)(168, 175)(170, 179)(172, 183)(174, 187)(176, 191)(177, 193)(178, 195)(180, 188)(181, 200)(182, 201)(184, 192)(185, 205)(186, 207)(189, 212)(190, 213)(194, 219)(196, 223)(197, 224)(198, 226)(199, 220)(202, 231)(203, 233)(204, 232)(206, 237)(208, 241)(209, 242)(210, 244)(211, 238)(214, 249)(215, 251)(216, 250)(217, 253)(218, 255)(221, 239)(222, 259)(225, 264)(227, 267)(228, 246)(229, 269)(230, 270)(234, 274)(235, 266)(236, 276)(240, 279)(243, 284)(245, 286)(247, 288)(248, 256)(252, 292)(254, 293)(257, 277)(258, 296)(260, 280)(261, 298)(262, 300)(263, 283)(265, 294)(268, 303)(271, 304)(272, 290)(273, 305)(275, 306)(278, 309)(281, 311)(282, 313)(285, 307)(287, 316)(289, 317)(291, 318)(295, 320)(297, 322)(299, 314)(301, 312)(302, 324)(308, 321)(310, 323)(315, 319)
	L = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 36, 36 ), ( 36^9 ) }
Outer automorphisms :: reflexible
Dual of E28.2861
Transitivity :: ET+
Graph:: simple bipartite
	v = 99 e = 162 f = 9
	degree seq :: [ 2^81, 9^18 ]

E28.2858 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 9, 18})
Quotient :: edge
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 12>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 40>)
|r| :: 2
Presentation :: [ F^2, (T1 * T2)^2, (F * T1)^2, (F * T2)^2, T1^-3 * T2^-1 * T1^2 * T2^-1 * T1^-1, T2^-1 * T1^2 * T2^-1 * T1^5, T2^-1 * T1^-2 * T2 * T1 * T2^-4, (T2^2 * T1^-1)^3, T1^2 * T2^2 * T1^-3 * T2^-2 * T1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 26, 64, 51, 34, 72, 125, 141, 91, 42, 16, 41, 90, 39, 15, 5)(2, 7, 19, 48, 73, 30, 13, 33, 79, 132, 131, 78, 40, 35, 81, 56, 22, 8)(4, 12, 31, 75, 68, 29, 71, 52, 105, 96, 46, 18, 6, 17, 43, 60, 24, 9)(11, 28, 69, 126, 123, 67, 45, 95, 147, 159, 114, 58, 23, 57, 111, 119, 62, 25)(14, 36, 82, 134, 98, 47, 20, 50, 103, 152, 151, 102, 80, 86, 137, 136, 85, 37)(21, 53, 106, 154, 143, 92, 44, 94, 145, 161, 128, 74, 32, 77, 124, 155, 108, 54)(27, 66, 55, 109, 156, 122, 113, 153, 107, 100, 140, 89, 61, 118, 146, 157, 120, 63)(38, 87, 138, 148, 142, 133, 83, 65, 121, 117, 93, 144, 104, 139, 162, 129, 76, 88)(49, 101, 70, 127, 160, 135, 84, 116, 59, 115, 158, 110, 97, 149, 112, 130, 150, 99)(163, 164, 168, 178, 202, 233, 196, 175, 166)(165, 171, 185, 203, 180, 207, 234, 191, 173)(167, 176, 197, 204, 242, 195, 213, 182, 169)(170, 183, 214, 240, 194, 174, 192, 206, 179)(172, 187, 223, 252, 220, 275, 287, 229, 189)(177, 200, 248, 253, 266, 212, 226, 245, 198)(181, 209, 259, 243, 199, 246, 241, 264, 211)(184, 217, 239, 293, 308, 256, 235, 269, 215)(186, 221, 257, 208, 232, 190, 230, 274, 219)(188, 225, 249, 201, 251, 301, 303, 284, 227)(193, 236, 255, 205, 254, 304, 267, 216, 238)(210, 261, 271, 218, 272, 319, 294, 297, 262)(222, 279, 289, 258, 310, 292, 237, 291, 277)(224, 268, 315, 276, 286, 228, 285, 307, 280)(231, 263, 313, 273, 311, 260, 309, 278, 247)(244, 295, 305, 299, 250, 270, 265, 306, 290)(281, 314, 317, 321, 296, 323, 288, 298, 316)(282, 320, 324, 302, 322, 283, 318, 312, 300)
	L = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 4^9 ), ( 4^18 ) }
Outer automorphisms :: reflexible
Dual of E28.2862
Transitivity :: ET+
Graph:: bipartite
	v = 27 e = 162 f = 81
	degree seq :: [ 9^18, 18^9 ]

E28.2859 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 9, 18})
Quotient :: edge
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 12>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 40>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^5 * T2 * T1^-1 * T2 * T1^-1 * T2, (T1^-2 * T2 * T1^-1)^3, (T2 * T1 * T2 * T1^-1)^3, T2 * T1^-2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-2, T1^-1 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 ]
Map::
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 48)(25, 52)(26, 53)(27, 56)(30, 61)(31, 63)(33, 47)(34, 67)(35, 69)(36, 70)(38, 74)(39, 76)(42, 79)(43, 50)(44, 82)(46, 60)(49, 88)(51, 91)(54, 95)(55, 97)(57, 85)(58, 101)(59, 102)(62, 106)(64, 109)(65, 110)(66, 113)(68, 115)(71, 118)(72, 108)(73, 120)(75, 114)(77, 116)(78, 117)(80, 90)(81, 111)(83, 121)(84, 128)(86, 131)(87, 132)(89, 135)(92, 129)(93, 139)(94, 140)(96, 142)(98, 144)(99, 145)(100, 147)(103, 148)(104, 143)(105, 150)(107, 151)(112, 152)(119, 137)(122, 134)(123, 155)(124, 138)(125, 146)(126, 141)(127, 154)(130, 157)(133, 156)(136, 160)(149, 159)(153, 161)(158, 162)(163, 164, 167, 173, 185, 209, 247, 291, 318, 324, 323, 316, 279, 232, 208, 184, 172, 166)(165, 169, 177, 193, 220, 190, 219, 262, 308, 322, 306, 286, 240, 203, 237, 200, 180, 170)(168, 175, 189, 217, 255, 214, 254, 300, 282, 317, 281, 233, 198, 179, 197, 224, 192, 176)(171, 181, 201, 230, 196, 178, 195, 228, 274, 304, 271, 309, 289, 244, 288, 242, 204, 182)(174, 187, 213, 252, 296, 250, 295, 280, 312, 277, 311, 265, 222, 191, 221, 258, 216, 188)(183, 205, 243, 285, 239, 202, 210, 248, 292, 268, 307, 275, 315, 290, 305, 259, 245, 206)(186, 211, 249, 236, 272, 293, 320, 310, 270, 225, 269, 246, 207, 215, 256, 298, 251, 212)(194, 226, 253, 299, 319, 313, 287, 241, 267, 223, 266, 297, 276, 229, 264, 301, 273, 227)(199, 234, 257, 303, 278, 231, 263, 302, 284, 238, 261, 218, 260, 294, 321, 314, 283, 235)
	L = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)
	local type(s) :: { ( 18, 18 ), ( 18^18 ) }
Outer automorphisms :: reflexible
Dual of E28.2860
Transitivity :: ET+
Graph:: simple bipartite
	v = 90 e = 162 f = 18
	degree seq :: [ 2^81, 18^9 ]

E28.2860 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 9, 18})
Quotient :: loop
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 12>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 40>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-3 * T1 * T2^2, T2^9, (T1 * T2 * T1 * T2^-1)^3, T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^2, T1 * T2 * T1 * T2^2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-1 ]
Map::
	R = (1, 163, 3, 165, 8, 170, 18, 180, 37, 199, 42, 204, 22, 184, 10, 172, 4, 166)(2, 164, 5, 167, 12, 174, 26, 188, 49, 211, 54, 216, 30, 192, 14, 176, 6, 168)(7, 169, 15, 177, 32, 194, 58, 220, 72, 234, 41, 203, 21, 183, 34, 196, 16, 178)(9, 171, 19, 181, 36, 198, 17, 179, 35, 197, 63, 225, 70, 232, 40, 202, 20, 182)(11, 173, 23, 185, 44, 206, 76, 238, 90, 252, 53, 215, 29, 191, 46, 208, 24, 186)(13, 175, 27, 189, 48, 210, 25, 187, 47, 209, 81, 243, 88, 250, 52, 214, 28, 190)(31, 193, 55, 217, 92, 254, 112, 274, 137, 299, 99, 261, 61, 223, 94, 256, 56, 218)(33, 195, 59, 221, 96, 258, 57, 219, 95, 257, 111, 273, 71, 233, 98, 260, 60, 222)(38, 200, 65, 227, 101, 263, 62, 224, 100, 262, 110, 272, 69, 231, 106, 268, 66, 228)(39, 201, 67, 229, 104, 266, 64, 226, 103, 265, 139, 301, 102, 264, 109, 271, 68, 230)(43, 205, 73, 235, 113, 275, 130, 292, 150, 312, 119, 281, 79, 241, 108, 270, 74, 236)(45, 207, 77, 239, 116, 278, 75, 237, 115, 277, 129, 291, 89, 251, 118, 280, 78, 240)(50, 212, 83, 245, 121, 283, 80, 242, 120, 282, 128, 290, 87, 249, 125, 287, 84, 246)(51, 213, 85, 247, 91, 253, 82, 244, 123, 285, 152, 314, 122, 284, 127, 289, 86, 248)(93, 255, 132, 294, 157, 319, 131, 293, 142, 304, 161, 323, 136, 298, 107, 269, 133, 295)(97, 259, 135, 297, 138, 300, 134, 296, 159, 321, 141, 303, 143, 305, 140, 302, 105, 267)(114, 276, 145, 307, 162, 324, 144, 306, 155, 317, 160, 322, 149, 311, 126, 288, 146, 308)(117, 279, 148, 310, 151, 313, 147, 309, 158, 320, 154, 316, 156, 318, 153, 315, 124, 286)
	L = (1, 164)(2, 163)(3, 169)(4, 171)(5, 173)(6, 175)(7, 165)(8, 179)(9, 166)(10, 183)(11, 167)(12, 187)(13, 168)(14, 191)(15, 193)(16, 195)(17, 170)(18, 188)(19, 200)(20, 201)(21, 172)(22, 192)(23, 205)(24, 207)(25, 174)(26, 180)(27, 212)(28, 213)(29, 176)(30, 184)(31, 177)(32, 219)(33, 178)(34, 223)(35, 224)(36, 226)(37, 220)(38, 181)(39, 182)(40, 231)(41, 233)(42, 232)(43, 185)(44, 237)(45, 186)(46, 241)(47, 242)(48, 244)(49, 238)(50, 189)(51, 190)(52, 249)(53, 251)(54, 250)(55, 253)(56, 255)(57, 194)(58, 199)(59, 239)(60, 259)(61, 196)(62, 197)(63, 264)(64, 198)(65, 267)(66, 246)(67, 269)(68, 270)(69, 202)(70, 204)(71, 203)(72, 274)(73, 266)(74, 276)(75, 206)(76, 211)(77, 221)(78, 279)(79, 208)(80, 209)(81, 284)(82, 210)(83, 286)(84, 228)(85, 288)(86, 256)(87, 214)(88, 216)(89, 215)(90, 292)(91, 217)(92, 293)(93, 218)(94, 248)(95, 277)(96, 296)(97, 222)(98, 280)(99, 298)(100, 300)(101, 283)(102, 225)(103, 294)(104, 235)(105, 227)(106, 303)(107, 229)(108, 230)(109, 304)(110, 290)(111, 305)(112, 234)(113, 306)(114, 236)(115, 257)(116, 309)(117, 240)(118, 260)(119, 311)(120, 313)(121, 263)(122, 243)(123, 307)(124, 245)(125, 316)(126, 247)(127, 317)(128, 272)(129, 318)(130, 252)(131, 254)(132, 265)(133, 320)(134, 258)(135, 322)(136, 261)(137, 314)(138, 262)(139, 312)(140, 324)(141, 268)(142, 271)(143, 273)(144, 275)(145, 285)(146, 321)(147, 278)(148, 323)(149, 281)(150, 301)(151, 282)(152, 299)(153, 319)(154, 287)(155, 289)(156, 291)(157, 315)(158, 295)(159, 308)(160, 297)(161, 310)(162, 302)
	local type(s) :: { ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.2859
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 18 e = 162 f = 90
	degree seq :: [ 18^18 ]

E28.2861 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 9, 18})
Quotient :: loop
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 12>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 40>)
|r| :: 2
Presentation :: [ F^2, (T1 * T2)^2, (F * T1)^2, (F * T2)^2, T1^-3 * T2^-1 * T1^2 * T2^-1 * T1^-1, T2^-1 * T1^2 * T2^-1 * T1^5, T2^-1 * T1^-2 * T2 * T1 * T2^-4, (T2^2 * T1^-1)^3, T1^2 * T2^2 * T1^-3 * T2^-2 * T1 ]
Map::
	R = (1, 163, 3, 165, 10, 172, 26, 188, 64, 226, 51, 213, 34, 196, 72, 234, 125, 287, 141, 303, 91, 253, 42, 204, 16, 178, 41, 203, 90, 252, 39, 201, 15, 177, 5, 167)(2, 164, 7, 169, 19, 181, 48, 210, 73, 235, 30, 192, 13, 175, 33, 195, 79, 241, 132, 294, 131, 293, 78, 240, 40, 202, 35, 197, 81, 243, 56, 218, 22, 184, 8, 170)(4, 166, 12, 174, 31, 193, 75, 237, 68, 230, 29, 191, 71, 233, 52, 214, 105, 267, 96, 258, 46, 208, 18, 180, 6, 168, 17, 179, 43, 205, 60, 222, 24, 186, 9, 171)(11, 173, 28, 190, 69, 231, 126, 288, 123, 285, 67, 229, 45, 207, 95, 257, 147, 309, 159, 321, 114, 276, 58, 220, 23, 185, 57, 219, 111, 273, 119, 281, 62, 224, 25, 187)(14, 176, 36, 198, 82, 244, 134, 296, 98, 260, 47, 209, 20, 182, 50, 212, 103, 265, 152, 314, 151, 313, 102, 264, 80, 242, 86, 248, 137, 299, 136, 298, 85, 247, 37, 199)(21, 183, 53, 215, 106, 268, 154, 316, 143, 305, 92, 254, 44, 206, 94, 256, 145, 307, 161, 323, 128, 290, 74, 236, 32, 194, 77, 239, 124, 286, 155, 317, 108, 270, 54, 216)(27, 189, 66, 228, 55, 217, 109, 271, 156, 318, 122, 284, 113, 275, 153, 315, 107, 269, 100, 262, 140, 302, 89, 251, 61, 223, 118, 280, 146, 308, 157, 319, 120, 282, 63, 225)(38, 200, 87, 249, 138, 300, 148, 310, 142, 304, 133, 295, 83, 245, 65, 227, 121, 283, 117, 279, 93, 255, 144, 306, 104, 266, 139, 301, 162, 324, 129, 291, 76, 238, 88, 250)(49, 211, 101, 263, 70, 232, 127, 289, 160, 322, 135, 297, 84, 246, 116, 278, 59, 221, 115, 277, 158, 320, 110, 272, 97, 259, 149, 311, 112, 274, 130, 292, 150, 312, 99, 261)
	L = (1, 164)(2, 168)(3, 171)(4, 163)(5, 176)(6, 178)(7, 167)(8, 183)(9, 185)(10, 187)(11, 165)(12, 192)(13, 166)(14, 197)(15, 200)(16, 202)(17, 170)(18, 207)(19, 209)(20, 169)(21, 214)(22, 217)(23, 203)(24, 221)(25, 223)(26, 225)(27, 172)(28, 230)(29, 173)(30, 206)(31, 236)(32, 174)(33, 213)(34, 175)(35, 204)(36, 177)(37, 246)(38, 248)(39, 251)(40, 233)(41, 180)(42, 242)(43, 254)(44, 179)(45, 234)(46, 232)(47, 259)(48, 261)(49, 181)(50, 226)(51, 182)(52, 240)(53, 184)(54, 238)(55, 239)(56, 272)(57, 186)(58, 275)(59, 257)(60, 279)(61, 252)(62, 268)(63, 249)(64, 245)(65, 188)(66, 285)(67, 189)(68, 274)(69, 263)(70, 190)(71, 196)(72, 191)(73, 269)(74, 255)(75, 291)(76, 193)(77, 293)(78, 194)(79, 264)(80, 195)(81, 199)(82, 295)(83, 198)(84, 241)(85, 231)(86, 253)(87, 201)(88, 270)(89, 301)(90, 220)(91, 266)(92, 304)(93, 205)(94, 235)(95, 208)(96, 310)(97, 243)(98, 309)(99, 271)(100, 210)(101, 313)(102, 211)(103, 306)(104, 212)(105, 216)(106, 315)(107, 215)(108, 265)(109, 218)(110, 319)(111, 311)(112, 219)(113, 287)(114, 286)(115, 222)(116, 247)(117, 289)(118, 224)(119, 314)(120, 320)(121, 318)(122, 227)(123, 307)(124, 228)(125, 229)(126, 298)(127, 258)(128, 244)(129, 277)(130, 237)(131, 308)(132, 297)(133, 305)(134, 323)(135, 262)(136, 316)(137, 250)(138, 282)(139, 303)(140, 322)(141, 284)(142, 267)(143, 299)(144, 290)(145, 280)(146, 256)(147, 278)(148, 292)(149, 260)(150, 300)(151, 273)(152, 317)(153, 276)(154, 281)(155, 321)(156, 312)(157, 294)(158, 324)(159, 296)(160, 283)(161, 288)(162, 302)
	local type(s) :: { ( 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9 ) }
Outer automorphisms :: reflexible
Dual of E28.2857
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 162 f = 99
	degree seq :: [ 36^9 ]

E28.2862 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 9, 18})
Quotient :: loop
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 12>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 40>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^5 * T2 * T1^-1 * T2 * T1^-1 * T2, (T1^-2 * T2 * T1^-1)^3, (T2 * T1 * T2 * T1^-1)^3, T2 * T1^-2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-2, T1^-1 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 163, 3, 165)(2, 164, 6, 168)(4, 166, 9, 171)(5, 167, 12, 174)(7, 169, 16, 178)(8, 170, 17, 179)(10, 172, 21, 183)(11, 173, 24, 186)(13, 175, 28, 190)(14, 176, 29, 191)(15, 177, 32, 194)(18, 180, 37, 199)(19, 181, 40, 202)(20, 182, 41, 203)(22, 184, 45, 207)(23, 185, 48, 210)(25, 187, 52, 214)(26, 188, 53, 215)(27, 189, 56, 218)(30, 192, 61, 223)(31, 193, 63, 225)(33, 195, 47, 209)(34, 196, 67, 229)(35, 197, 69, 231)(36, 198, 70, 232)(38, 200, 74, 236)(39, 201, 76, 238)(42, 204, 79, 241)(43, 205, 50, 212)(44, 206, 82, 244)(46, 208, 60, 222)(49, 211, 88, 250)(51, 213, 91, 253)(54, 216, 95, 257)(55, 217, 97, 259)(57, 219, 85, 247)(58, 220, 101, 263)(59, 221, 102, 264)(62, 224, 106, 268)(64, 226, 109, 271)(65, 227, 110, 272)(66, 228, 113, 275)(68, 230, 115, 277)(71, 233, 118, 280)(72, 234, 108, 270)(73, 235, 120, 282)(75, 237, 114, 276)(77, 239, 116, 278)(78, 240, 117, 279)(80, 242, 90, 252)(81, 243, 111, 273)(83, 245, 121, 283)(84, 246, 128, 290)(86, 248, 131, 293)(87, 249, 132, 294)(89, 251, 135, 297)(92, 254, 129, 291)(93, 255, 139, 301)(94, 256, 140, 302)(96, 258, 142, 304)(98, 260, 144, 306)(99, 261, 145, 307)(100, 262, 147, 309)(103, 265, 148, 310)(104, 266, 143, 305)(105, 267, 150, 312)(107, 269, 151, 313)(112, 274, 152, 314)(119, 281, 137, 299)(122, 284, 134, 296)(123, 285, 155, 317)(124, 286, 138, 300)(125, 287, 146, 308)(126, 288, 141, 303)(127, 289, 154, 316)(130, 292, 157, 319)(133, 295, 156, 318)(136, 298, 160, 322)(149, 311, 159, 321)(153, 315, 161, 323)(158, 320, 162, 324)
	L = (1, 164)(2, 167)(3, 169)(4, 163)(5, 173)(6, 175)(7, 177)(8, 165)(9, 181)(10, 166)(11, 185)(12, 187)(13, 189)(14, 168)(15, 193)(16, 195)(17, 197)(18, 170)(19, 201)(20, 171)(21, 205)(22, 172)(23, 209)(24, 211)(25, 213)(26, 174)(27, 217)(28, 219)(29, 221)(30, 176)(31, 220)(32, 226)(33, 228)(34, 178)(35, 224)(36, 179)(37, 234)(38, 180)(39, 230)(40, 210)(41, 237)(42, 182)(43, 243)(44, 183)(45, 215)(46, 184)(47, 247)(48, 248)(49, 249)(50, 186)(51, 252)(52, 254)(53, 256)(54, 188)(55, 255)(56, 260)(57, 262)(58, 190)(59, 258)(60, 191)(61, 266)(62, 192)(63, 269)(64, 253)(65, 194)(66, 274)(67, 264)(68, 196)(69, 263)(70, 208)(71, 198)(72, 257)(73, 199)(74, 272)(75, 200)(76, 261)(77, 202)(78, 203)(79, 267)(80, 204)(81, 285)(82, 288)(83, 206)(84, 207)(85, 291)(86, 292)(87, 236)(88, 295)(89, 212)(90, 296)(91, 299)(92, 300)(93, 214)(94, 298)(95, 303)(96, 216)(97, 245)(98, 294)(99, 218)(100, 308)(101, 302)(102, 301)(103, 222)(104, 297)(105, 223)(106, 307)(107, 246)(108, 225)(109, 309)(110, 293)(111, 227)(112, 304)(113, 315)(114, 229)(115, 311)(116, 231)(117, 232)(118, 312)(119, 233)(120, 317)(121, 235)(122, 238)(123, 239)(124, 240)(125, 241)(126, 242)(127, 244)(128, 305)(129, 318)(130, 268)(131, 320)(132, 321)(133, 280)(134, 250)(135, 276)(136, 251)(137, 319)(138, 282)(139, 273)(140, 284)(141, 278)(142, 271)(143, 259)(144, 286)(145, 275)(146, 322)(147, 289)(148, 270)(149, 265)(150, 277)(151, 287)(152, 283)(153, 290)(154, 279)(155, 281)(156, 324)(157, 313)(158, 310)(159, 314)(160, 306)(161, 316)(162, 323)
	local type(s) :: { ( 9, 18, 9, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.2858
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 81 e = 162 f = 27
	degree seq :: [ 4^81 ]

E28.2863 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 9, 18})
Quotient :: dipole
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 12>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 40>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y2^-2 * R)^2, (Y2^-1 * R * Y2^-2)^2, Y2^2 * Y1 * Y2^-3 * Y1 * Y2, Y2^9, (Y1 * Y2 * Y1 * Y2^-1)^3, Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * R * Y2^-2 * R * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1, (Y3 * Y2^-1)^18 ]
Map::
	R = (1, 163, 2, 164)(3, 165, 7, 169)(4, 166, 9, 171)(5, 167, 11, 173)(6, 168, 13, 175)(8, 170, 17, 179)(10, 172, 21, 183)(12, 174, 25, 187)(14, 176, 29, 191)(15, 177, 31, 193)(16, 178, 33, 195)(18, 180, 26, 188)(19, 181, 38, 200)(20, 182, 39, 201)(22, 184, 30, 192)(23, 185, 43, 205)(24, 186, 45, 207)(27, 189, 50, 212)(28, 190, 51, 213)(32, 194, 57, 219)(34, 196, 61, 223)(35, 197, 62, 224)(36, 198, 64, 226)(37, 199, 58, 220)(40, 202, 69, 231)(41, 203, 71, 233)(42, 204, 70, 232)(44, 206, 75, 237)(46, 208, 79, 241)(47, 209, 80, 242)(48, 210, 82, 244)(49, 211, 76, 238)(52, 214, 87, 249)(53, 215, 89, 251)(54, 216, 88, 250)(55, 217, 91, 253)(56, 218, 93, 255)(59, 221, 77, 239)(60, 222, 97, 259)(63, 225, 102, 264)(65, 227, 105, 267)(66, 228, 84, 246)(67, 229, 107, 269)(68, 230, 108, 270)(72, 234, 112, 274)(73, 235, 104, 266)(74, 236, 114, 276)(78, 240, 117, 279)(81, 243, 122, 284)(83, 245, 124, 286)(85, 247, 126, 288)(86, 248, 94, 256)(90, 252, 130, 292)(92, 254, 131, 293)(95, 257, 115, 277)(96, 258, 134, 296)(98, 260, 118, 280)(99, 261, 136, 298)(100, 262, 138, 300)(101, 263, 121, 283)(103, 265, 132, 294)(106, 268, 141, 303)(109, 271, 142, 304)(110, 272, 128, 290)(111, 273, 143, 305)(113, 275, 144, 306)(116, 278, 147, 309)(119, 281, 149, 311)(120, 282, 151, 313)(123, 285, 145, 307)(125, 287, 154, 316)(127, 289, 155, 317)(129, 291, 156, 318)(133, 295, 158, 320)(135, 297, 160, 322)(137, 299, 152, 314)(139, 301, 150, 312)(140, 302, 162, 324)(146, 308, 159, 321)(148, 310, 161, 323)(153, 315, 157, 319)(325, 487, 327, 489, 332, 494, 342, 504, 361, 523, 366, 528, 346, 508, 334, 496, 328, 490)(326, 488, 329, 491, 336, 498, 350, 512, 373, 535, 378, 540, 354, 516, 338, 500, 330, 492)(331, 493, 339, 501, 356, 518, 382, 544, 396, 558, 365, 527, 345, 507, 358, 520, 340, 502)(333, 495, 343, 505, 360, 522, 341, 503, 359, 521, 387, 549, 394, 556, 364, 526, 344, 506)(335, 497, 347, 509, 368, 530, 400, 562, 414, 576, 377, 539, 353, 515, 370, 532, 348, 510)(337, 499, 351, 513, 372, 534, 349, 511, 371, 533, 405, 567, 412, 574, 376, 538, 352, 514)(355, 517, 379, 541, 416, 578, 436, 598, 461, 623, 423, 585, 385, 547, 418, 580, 380, 542)(357, 519, 383, 545, 420, 582, 381, 543, 419, 581, 435, 597, 395, 557, 422, 584, 384, 546)(362, 524, 389, 551, 425, 587, 386, 548, 424, 586, 434, 596, 393, 555, 430, 592, 390, 552)(363, 525, 391, 553, 428, 590, 388, 550, 427, 589, 463, 625, 426, 588, 433, 595, 392, 554)(367, 529, 397, 559, 437, 599, 454, 616, 474, 636, 443, 605, 403, 565, 432, 594, 398, 560)(369, 531, 401, 563, 440, 602, 399, 561, 439, 601, 453, 615, 413, 575, 442, 604, 402, 564)(374, 536, 407, 569, 445, 607, 404, 566, 444, 606, 452, 614, 411, 573, 449, 611, 408, 570)(375, 537, 409, 571, 415, 577, 406, 568, 447, 609, 476, 638, 446, 608, 451, 613, 410, 572)(417, 579, 456, 618, 481, 643, 455, 617, 466, 628, 485, 647, 460, 622, 431, 593, 457, 619)(421, 583, 459, 621, 462, 624, 458, 620, 483, 645, 465, 627, 467, 629, 464, 626, 429, 591)(438, 600, 469, 631, 486, 648, 468, 630, 479, 641, 484, 646, 473, 635, 450, 612, 470, 632)(441, 603, 472, 634, 475, 637, 471, 633, 482, 644, 478, 640, 480, 642, 477, 639, 448, 610)
	L = (1, 326)(2, 325)(3, 331)(4, 333)(5, 335)(6, 337)(7, 327)(8, 341)(9, 328)(10, 345)(11, 329)(12, 349)(13, 330)(14, 353)(15, 355)(16, 357)(17, 332)(18, 350)(19, 362)(20, 363)(21, 334)(22, 354)(23, 367)(24, 369)(25, 336)(26, 342)(27, 374)(28, 375)(29, 338)(30, 346)(31, 339)(32, 381)(33, 340)(34, 385)(35, 386)(36, 388)(37, 382)(38, 343)(39, 344)(40, 393)(41, 395)(42, 394)(43, 347)(44, 399)(45, 348)(46, 403)(47, 404)(48, 406)(49, 400)(50, 351)(51, 352)(52, 411)(53, 413)(54, 412)(55, 415)(56, 417)(57, 356)(58, 361)(59, 401)(60, 421)(61, 358)(62, 359)(63, 426)(64, 360)(65, 429)(66, 408)(67, 431)(68, 432)(69, 364)(70, 366)(71, 365)(72, 436)(73, 428)(74, 438)(75, 368)(76, 373)(77, 383)(78, 441)(79, 370)(80, 371)(81, 446)(82, 372)(83, 448)(84, 390)(85, 450)(86, 418)(87, 376)(88, 378)(89, 377)(90, 454)(91, 379)(92, 455)(93, 380)(94, 410)(95, 439)(96, 458)(97, 384)(98, 442)(99, 460)(100, 462)(101, 445)(102, 387)(103, 456)(104, 397)(105, 389)(106, 465)(107, 391)(108, 392)(109, 466)(110, 452)(111, 467)(112, 396)(113, 468)(114, 398)(115, 419)(116, 471)(117, 402)(118, 422)(119, 473)(120, 475)(121, 425)(122, 405)(123, 469)(124, 407)(125, 478)(126, 409)(127, 479)(128, 434)(129, 480)(130, 414)(131, 416)(132, 427)(133, 482)(134, 420)(135, 484)(136, 423)(137, 476)(138, 424)(139, 474)(140, 486)(141, 430)(142, 433)(143, 435)(144, 437)(145, 447)(146, 483)(147, 440)(148, 485)(149, 443)(150, 463)(151, 444)(152, 461)(153, 481)(154, 449)(155, 451)(156, 453)(157, 477)(158, 457)(159, 470)(160, 459)(161, 472)(162, 464)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 2, 36, 2, 36 ), ( 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.2866
Graph:: bipartite
	v = 99 e = 324 f = 171
	degree seq :: [ 4^81, 18^18 ]

E28.2864 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 9, 18})
Quotient :: dipole
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 12>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 40>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y1 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y1^-1 * Y2^-1 * Y1^2 * Y2^-1 * Y1^-3, Y1^2 * Y2^-1 * Y1^5 * Y2^-1, Y2 * Y1^3 * Y2^5, (Y1 * Y2^-2)^3 ]
Map::
	R = (1, 163, 2, 164, 6, 168, 16, 178, 40, 202, 71, 233, 34, 196, 13, 175, 4, 166)(3, 165, 9, 171, 23, 185, 41, 203, 18, 180, 45, 207, 72, 234, 29, 191, 11, 173)(5, 167, 14, 176, 35, 197, 42, 204, 80, 242, 33, 195, 51, 213, 20, 182, 7, 169)(8, 170, 21, 183, 52, 214, 78, 240, 32, 194, 12, 174, 30, 192, 44, 206, 17, 179)(10, 172, 25, 187, 61, 223, 90, 252, 58, 220, 113, 275, 125, 287, 67, 229, 27, 189)(15, 177, 38, 200, 86, 248, 91, 253, 104, 266, 50, 212, 64, 226, 83, 245, 36, 198)(19, 181, 47, 209, 97, 259, 81, 243, 37, 199, 84, 246, 79, 241, 102, 264, 49, 211)(22, 184, 55, 217, 77, 239, 131, 293, 146, 308, 94, 256, 73, 235, 107, 269, 53, 215)(24, 186, 59, 221, 95, 257, 46, 208, 70, 232, 28, 190, 68, 230, 112, 274, 57, 219)(26, 188, 63, 225, 87, 249, 39, 201, 89, 251, 139, 301, 141, 303, 122, 284, 65, 227)(31, 193, 74, 236, 93, 255, 43, 205, 92, 254, 142, 304, 105, 267, 54, 216, 76, 238)(48, 210, 99, 261, 109, 271, 56, 218, 110, 272, 157, 319, 132, 294, 135, 297, 100, 262)(60, 222, 117, 279, 127, 289, 96, 258, 148, 310, 130, 292, 75, 237, 129, 291, 115, 277)(62, 224, 106, 268, 153, 315, 114, 276, 124, 286, 66, 228, 123, 285, 145, 307, 118, 280)(69, 231, 101, 263, 151, 313, 111, 273, 149, 311, 98, 260, 147, 309, 116, 278, 85, 247)(82, 244, 133, 295, 143, 305, 137, 299, 88, 250, 108, 270, 103, 265, 144, 306, 128, 290)(119, 281, 152, 314, 155, 317, 159, 321, 134, 296, 161, 323, 126, 288, 136, 298, 154, 316)(120, 282, 158, 320, 162, 324, 140, 302, 160, 322, 121, 283, 156, 318, 150, 312, 138, 300)(325, 487, 327, 489, 334, 496, 350, 512, 388, 550, 375, 537, 358, 520, 396, 558, 449, 611, 465, 627, 415, 577, 366, 528, 340, 502, 365, 527, 414, 576, 363, 525, 339, 501, 329, 491)(326, 488, 331, 493, 343, 505, 372, 534, 397, 559, 354, 516, 337, 499, 357, 519, 403, 565, 456, 618, 455, 617, 402, 564, 364, 526, 359, 521, 405, 567, 380, 542, 346, 508, 332, 494)(328, 490, 336, 498, 355, 517, 399, 561, 392, 554, 353, 515, 395, 557, 376, 538, 429, 591, 420, 582, 370, 532, 342, 504, 330, 492, 341, 503, 367, 529, 384, 546, 348, 510, 333, 495)(335, 497, 352, 514, 393, 555, 450, 612, 447, 609, 391, 553, 369, 531, 419, 581, 471, 633, 483, 645, 438, 600, 382, 544, 347, 509, 381, 543, 435, 597, 443, 605, 386, 548, 349, 511)(338, 500, 360, 522, 406, 568, 458, 620, 422, 584, 371, 533, 344, 506, 374, 536, 427, 589, 476, 638, 475, 637, 426, 588, 404, 566, 410, 572, 461, 623, 460, 622, 409, 571, 361, 523)(345, 507, 377, 539, 430, 592, 478, 640, 467, 629, 416, 578, 368, 530, 418, 580, 469, 631, 485, 647, 452, 614, 398, 560, 356, 518, 401, 563, 448, 610, 479, 641, 432, 594, 378, 540)(351, 513, 390, 552, 379, 541, 433, 595, 480, 642, 446, 608, 437, 599, 477, 639, 431, 593, 424, 586, 464, 626, 413, 575, 385, 547, 442, 604, 470, 632, 481, 643, 444, 606, 387, 549)(362, 524, 411, 573, 462, 624, 472, 634, 466, 628, 457, 619, 407, 569, 389, 551, 445, 607, 441, 603, 417, 579, 468, 630, 428, 590, 463, 625, 486, 648, 453, 615, 400, 562, 412, 574)(373, 535, 425, 587, 394, 556, 451, 613, 484, 646, 459, 621, 408, 570, 440, 602, 383, 545, 439, 601, 482, 644, 434, 596, 421, 583, 473, 635, 436, 598, 454, 616, 474, 636, 423, 585)
	L = (1, 327)(2, 331)(3, 334)(4, 336)(5, 325)(6, 341)(7, 343)(8, 326)(9, 328)(10, 350)(11, 352)(12, 355)(13, 357)(14, 360)(15, 329)(16, 365)(17, 367)(18, 330)(19, 372)(20, 374)(21, 377)(22, 332)(23, 381)(24, 333)(25, 335)(26, 388)(27, 390)(28, 393)(29, 395)(30, 337)(31, 399)(32, 401)(33, 403)(34, 396)(35, 405)(36, 406)(37, 338)(38, 411)(39, 339)(40, 359)(41, 414)(42, 340)(43, 384)(44, 418)(45, 419)(46, 342)(47, 344)(48, 397)(49, 425)(50, 427)(51, 358)(52, 429)(53, 430)(54, 345)(55, 433)(56, 346)(57, 435)(58, 347)(59, 439)(60, 348)(61, 442)(62, 349)(63, 351)(64, 375)(65, 445)(66, 379)(67, 369)(68, 353)(69, 450)(70, 451)(71, 376)(72, 449)(73, 354)(74, 356)(75, 392)(76, 412)(77, 448)(78, 364)(79, 456)(80, 410)(81, 380)(82, 458)(83, 389)(84, 440)(85, 361)(86, 461)(87, 462)(88, 362)(89, 385)(90, 363)(91, 366)(92, 368)(93, 468)(94, 469)(95, 471)(96, 370)(97, 473)(98, 371)(99, 373)(100, 464)(101, 394)(102, 404)(103, 476)(104, 463)(105, 420)(106, 478)(107, 424)(108, 378)(109, 480)(110, 421)(111, 443)(112, 454)(113, 477)(114, 382)(115, 482)(116, 383)(117, 417)(118, 470)(119, 386)(120, 387)(121, 441)(122, 437)(123, 391)(124, 479)(125, 465)(126, 447)(127, 484)(128, 398)(129, 400)(130, 474)(131, 402)(132, 455)(133, 407)(134, 422)(135, 408)(136, 409)(137, 460)(138, 472)(139, 486)(140, 413)(141, 415)(142, 457)(143, 416)(144, 428)(145, 485)(146, 481)(147, 483)(148, 466)(149, 436)(150, 423)(151, 426)(152, 475)(153, 431)(154, 467)(155, 432)(156, 446)(157, 444)(158, 434)(159, 438)(160, 459)(161, 452)(162, 453)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.2865
Graph:: bipartite
	v = 27 e = 324 f = 243
	degree seq :: [ 18^18, 36^9 ]

E28.2865 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 9, 18})
Quotient :: dipole
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 12>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 40>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3^5 * Y2 * Y3^-1 * Y2, (Y3^-1 * Y2 * Y3^-2)^3, Y3^-1 * Y2 * Y3^-2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^-1, (Y3 * Y2 * Y3^-1 * Y2)^3, Y3^2 * Y2 * Y3 * Y2 * Y3^2 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2, (Y3^-1 * Y1^-1)^18 ]
Map:: polytopal
	R = (1, 163)(2, 164)(3, 165)(4, 166)(5, 167)(6, 168)(7, 169)(8, 170)(9, 171)(10, 172)(11, 173)(12, 174)(13, 175)(14, 176)(15, 177)(16, 178)(17, 179)(18, 180)(19, 181)(20, 182)(21, 183)(22, 184)(23, 185)(24, 186)(25, 187)(26, 188)(27, 189)(28, 190)(29, 191)(30, 192)(31, 193)(32, 194)(33, 195)(34, 196)(35, 197)(36, 198)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 205)(44, 206)(45, 207)(46, 208)(47, 209)(48, 210)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 217)(56, 218)(57, 219)(58, 220)(59, 221)(60, 222)(61, 223)(62, 224)(63, 225)(64, 226)(65, 227)(66, 228)(67, 229)(68, 230)(69, 231)(70, 232)(71, 233)(72, 234)(73, 235)(74, 236)(75, 237)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 250)(89, 251)(90, 252)(91, 253)(92, 254)(93, 255)(94, 256)(95, 257)(96, 258)(97, 259)(98, 260)(99, 261)(100, 262)(101, 263)(102, 264)(103, 265)(104, 266)(105, 267)(106, 268)(107, 269)(108, 270)(109, 271)(110, 272)(111, 273)(112, 274)(113, 275)(114, 276)(115, 277)(116, 278)(117, 279)(118, 280)(119, 281)(120, 282)(121, 283)(122, 284)(123, 285)(124, 286)(125, 287)(126, 288)(127, 289)(128, 290)(129, 291)(130, 292)(131, 293)(132, 294)(133, 295)(134, 296)(135, 297)(136, 298)(137, 299)(138, 300)(139, 301)(140, 302)(141, 303)(142, 304)(143, 305)(144, 306)(145, 307)(146, 308)(147, 309)(148, 310)(149, 311)(150, 312)(151, 313)(152, 314)(153, 315)(154, 316)(155, 317)(156, 318)(157, 319)(158, 320)(159, 321)(160, 322)(161, 323)(162, 324)(325, 487, 326, 488)(327, 489, 331, 493)(328, 490, 333, 495)(329, 491, 335, 497)(330, 492, 337, 499)(332, 494, 341, 503)(334, 496, 345, 507)(336, 498, 349, 511)(338, 500, 353, 515)(339, 501, 355, 517)(340, 502, 357, 519)(342, 504, 361, 523)(343, 505, 363, 525)(344, 506, 365, 527)(346, 508, 369, 531)(347, 509, 371, 533)(348, 510, 373, 535)(350, 512, 377, 539)(351, 513, 379, 541)(352, 514, 381, 543)(354, 516, 385, 547)(356, 518, 388, 550)(358, 520, 392, 554)(359, 521, 393, 555)(360, 522, 395, 557)(362, 524, 399, 561)(364, 526, 401, 563)(366, 528, 403, 565)(367, 529, 398, 560)(368, 530, 406, 568)(370, 532, 391, 553)(372, 534, 410, 572)(374, 536, 414, 576)(375, 537, 415, 577)(376, 538, 417, 579)(378, 540, 421, 583)(380, 542, 423, 585)(382, 544, 425, 587)(383, 545, 420, 582)(384, 546, 428, 590)(386, 548, 413, 575)(387, 549, 409, 571)(389, 551, 434, 596)(390, 552, 412, 574)(394, 556, 416, 578)(396, 558, 427, 589)(397, 559, 443, 605)(400, 562, 422, 584)(402, 564, 424, 586)(404, 566, 441, 603)(405, 567, 418, 580)(407, 569, 429, 591)(408, 570, 452, 614)(411, 573, 456, 618)(419, 581, 465, 627)(426, 588, 463, 625)(430, 592, 474, 636)(431, 593, 462, 624)(432, 594, 476, 638)(433, 595, 455, 617)(435, 597, 458, 620)(436, 598, 457, 619)(437, 599, 466, 628)(438, 600, 477, 639)(439, 601, 461, 623)(440, 602, 453, 615)(442, 604, 467, 629)(444, 606, 459, 621)(445, 607, 464, 626)(446, 608, 472, 634)(447, 609, 478, 640)(448, 610, 473, 635)(449, 611, 475, 637)(450, 612, 468, 630)(451, 613, 470, 632)(454, 616, 481, 643)(460, 622, 482, 644)(469, 631, 483, 645)(471, 633, 480, 642)(479, 641, 485, 647)(484, 646, 486, 648)
	L = (1, 327)(2, 329)(3, 332)(4, 325)(5, 336)(6, 326)(7, 339)(8, 342)(9, 343)(10, 328)(11, 347)(12, 350)(13, 351)(14, 330)(15, 356)(16, 331)(17, 359)(18, 362)(19, 364)(20, 333)(21, 367)(22, 334)(23, 372)(24, 335)(25, 375)(26, 378)(27, 380)(28, 337)(29, 383)(30, 338)(31, 387)(32, 389)(33, 390)(34, 340)(35, 394)(36, 341)(37, 397)(38, 371)(39, 399)(40, 374)(41, 386)(42, 344)(43, 405)(44, 345)(45, 395)(46, 346)(47, 409)(48, 411)(49, 412)(50, 348)(51, 416)(52, 349)(53, 419)(54, 355)(55, 421)(56, 358)(57, 370)(58, 352)(59, 427)(60, 353)(61, 417)(62, 354)(63, 431)(64, 432)(65, 435)(66, 436)(67, 357)(68, 438)(69, 440)(70, 441)(71, 442)(72, 360)(73, 430)(74, 361)(75, 445)(76, 363)(77, 433)(78, 365)(79, 439)(80, 366)(81, 446)(82, 450)(83, 368)(84, 369)(85, 453)(86, 454)(87, 457)(88, 458)(89, 373)(90, 460)(91, 462)(92, 463)(93, 464)(94, 376)(95, 408)(96, 377)(97, 467)(98, 379)(99, 455)(100, 381)(101, 461)(102, 382)(103, 468)(104, 472)(105, 384)(106, 385)(107, 475)(108, 474)(109, 388)(110, 407)(111, 393)(112, 396)(113, 391)(114, 459)(115, 392)(116, 473)(117, 478)(118, 479)(119, 471)(120, 398)(121, 469)(122, 400)(123, 401)(124, 402)(125, 403)(126, 404)(127, 406)(128, 477)(129, 480)(130, 452)(131, 410)(132, 429)(133, 415)(134, 418)(135, 413)(136, 437)(137, 414)(138, 451)(139, 483)(140, 484)(141, 449)(142, 420)(143, 447)(144, 422)(145, 423)(146, 424)(147, 425)(148, 426)(149, 428)(150, 482)(151, 485)(152, 448)(153, 434)(154, 443)(155, 444)(156, 486)(157, 470)(158, 456)(159, 465)(160, 466)(161, 476)(162, 481)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 18, 36 ), ( 18, 36, 18, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.2864
Graph:: simple bipartite
	v = 243 e = 324 f = 27
	degree seq :: [ 2^162, 4^81 ]

E28.2866 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 9, 18})
Quotient :: dipole
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 12>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 40>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^5 * Y3, (Y3 * Y1 * Y3 * Y1^-1)^3, Y3 * Y1^-2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^-2, (Y1^-3 * Y3)^3, Y1^18, (Y3 * Y1)^9 ]
Map::
	R = (1, 163, 2, 164, 5, 167, 11, 173, 23, 185, 47, 209, 85, 247, 129, 291, 156, 318, 162, 324, 161, 323, 154, 316, 117, 279, 70, 232, 46, 208, 22, 184, 10, 172, 4, 166)(3, 165, 7, 169, 15, 177, 31, 193, 58, 220, 28, 190, 57, 219, 100, 262, 146, 308, 160, 322, 144, 306, 124, 286, 78, 240, 41, 203, 75, 237, 38, 200, 18, 180, 8, 170)(6, 168, 13, 175, 27, 189, 55, 217, 93, 255, 52, 214, 92, 254, 138, 300, 120, 282, 155, 317, 119, 281, 71, 233, 36, 198, 17, 179, 35, 197, 62, 224, 30, 192, 14, 176)(9, 171, 19, 181, 39, 201, 68, 230, 34, 196, 16, 178, 33, 195, 66, 228, 112, 274, 142, 304, 109, 271, 147, 309, 127, 289, 82, 244, 126, 288, 80, 242, 42, 204, 20, 182)(12, 174, 25, 187, 51, 213, 90, 252, 134, 296, 88, 250, 133, 295, 118, 280, 150, 312, 115, 277, 149, 311, 103, 265, 60, 222, 29, 191, 59, 221, 96, 258, 54, 216, 26, 188)(21, 183, 43, 205, 81, 243, 123, 285, 77, 239, 40, 202, 48, 210, 86, 248, 130, 292, 106, 268, 145, 307, 113, 275, 153, 315, 128, 290, 143, 305, 97, 259, 83, 245, 44, 206)(24, 186, 49, 211, 87, 249, 74, 236, 110, 272, 131, 293, 158, 320, 148, 310, 108, 270, 63, 225, 107, 269, 84, 246, 45, 207, 53, 215, 94, 256, 136, 298, 89, 251, 50, 212)(32, 194, 64, 226, 91, 253, 137, 299, 157, 319, 151, 313, 125, 287, 79, 241, 105, 267, 61, 223, 104, 266, 135, 297, 114, 276, 67, 229, 102, 264, 139, 301, 111, 273, 65, 227)(37, 199, 72, 234, 95, 257, 141, 303, 116, 278, 69, 231, 101, 263, 140, 302, 122, 284, 76, 238, 99, 261, 56, 218, 98, 260, 132, 294, 159, 321, 152, 314, 121, 283, 73, 235)(325, 487)(326, 488)(327, 489)(328, 490)(329, 491)(330, 492)(331, 493)(332, 494)(333, 495)(334, 496)(335, 497)(336, 498)(337, 499)(338, 500)(339, 501)(340, 502)(341, 503)(342, 504)(343, 505)(344, 506)(345, 507)(346, 508)(347, 509)(348, 510)(349, 511)(350, 512)(351, 513)(352, 514)(353, 515)(354, 516)(355, 517)(356, 518)(357, 519)(358, 520)(359, 521)(360, 522)(361, 523)(362, 524)(363, 525)(364, 526)(365, 527)(366, 528)(367, 529)(368, 530)(369, 531)(370, 532)(371, 533)(372, 534)(373, 535)(374, 536)(375, 537)(376, 538)(377, 539)(378, 540)(379, 541)(380, 542)(381, 543)(382, 544)(383, 545)(384, 546)(385, 547)(386, 548)(387, 549)(388, 550)(389, 551)(390, 552)(391, 553)(392, 554)(393, 555)(394, 556)(395, 557)(396, 558)(397, 559)(398, 560)(399, 561)(400, 562)(401, 563)(402, 564)(403, 565)(404, 566)(405, 567)(406, 568)(407, 569)(408, 570)(409, 571)(410, 572)(411, 573)(412, 574)(413, 575)(414, 576)(415, 577)(416, 578)(417, 579)(418, 580)(419, 581)(420, 582)(421, 583)(422, 584)(423, 585)(424, 586)(425, 587)(426, 588)(427, 589)(428, 590)(429, 591)(430, 592)(431, 593)(432, 594)(433, 595)(434, 596)(435, 597)(436, 598)(437, 599)(438, 600)(439, 601)(440, 602)(441, 603)(442, 604)(443, 605)(444, 606)(445, 607)(446, 608)(447, 609)(448, 610)(449, 611)(450, 612)(451, 613)(452, 614)(453, 615)(454, 616)(455, 617)(456, 618)(457, 619)(458, 620)(459, 621)(460, 622)(461, 623)(462, 624)(463, 625)(464, 626)(465, 627)(466, 628)(467, 629)(468, 630)(469, 631)(470, 632)(471, 633)(472, 634)(473, 635)(474, 636)(475, 637)(476, 638)(477, 639)(478, 640)(479, 641)(480, 642)(481, 643)(482, 644)(483, 645)(484, 646)(485, 647)(486, 648)
	L = (1, 327)(2, 330)(3, 325)(4, 333)(5, 336)(6, 326)(7, 340)(8, 341)(9, 328)(10, 345)(11, 348)(12, 329)(13, 352)(14, 353)(15, 356)(16, 331)(17, 332)(18, 361)(19, 364)(20, 365)(21, 334)(22, 369)(23, 372)(24, 335)(25, 376)(26, 377)(27, 380)(28, 337)(29, 338)(30, 385)(31, 387)(32, 339)(33, 371)(34, 391)(35, 393)(36, 394)(37, 342)(38, 398)(39, 400)(40, 343)(41, 344)(42, 403)(43, 374)(44, 406)(45, 346)(46, 384)(47, 357)(48, 347)(49, 412)(50, 367)(51, 415)(52, 349)(53, 350)(54, 419)(55, 421)(56, 351)(57, 409)(58, 425)(59, 426)(60, 370)(61, 354)(62, 430)(63, 355)(64, 433)(65, 434)(66, 437)(67, 358)(68, 439)(69, 359)(70, 360)(71, 442)(72, 432)(73, 444)(74, 362)(75, 438)(76, 363)(77, 440)(78, 441)(79, 366)(80, 414)(81, 435)(82, 368)(83, 445)(84, 452)(85, 381)(86, 455)(87, 456)(88, 373)(89, 459)(90, 404)(91, 375)(92, 453)(93, 463)(94, 464)(95, 378)(96, 466)(97, 379)(98, 468)(99, 469)(100, 471)(101, 382)(102, 383)(103, 472)(104, 467)(105, 474)(106, 386)(107, 475)(108, 396)(109, 388)(110, 389)(111, 405)(112, 476)(113, 390)(114, 399)(115, 392)(116, 401)(117, 402)(118, 395)(119, 461)(120, 397)(121, 407)(122, 458)(123, 479)(124, 462)(125, 470)(126, 465)(127, 478)(128, 408)(129, 416)(130, 481)(131, 410)(132, 411)(133, 480)(134, 446)(135, 413)(136, 484)(137, 443)(138, 448)(139, 417)(140, 418)(141, 450)(142, 420)(143, 428)(144, 422)(145, 423)(146, 449)(147, 424)(148, 427)(149, 483)(150, 429)(151, 431)(152, 436)(153, 485)(154, 451)(155, 447)(156, 457)(157, 454)(158, 486)(159, 473)(160, 460)(161, 477)(162, 482)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 4, 18 ), ( 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.2863
Graph:: simple bipartite
	v = 171 e = 324 f = 99
	degree seq :: [ 2^162, 36^9 ]

E28.2867 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 9, 18})
Quotient :: dipole
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 12>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 40>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (Y1 * R)^2, (R * Y3)^2, (Y1 * Y2 * R)^2, (R * Y2 * Y3^-1)^2, R * Y2^-3 * R * Y1 * Y2^-3 * Y1, Y2^-1 * Y1 * Y2^5 * R * Y2 * R, (Y2^-2 * Y1 * Y2^-1)^3, Y2^-1 * Y1 * Y2^2 * R * Y2^-2 * R * Y2^-2 * Y1 * Y2^-1, Y2^-1 * Y1 * Y2^-2 * R * Y2^-2 * R * Y2^2 * Y1 * Y2^-1, Y2 * Y1 * Y2^-1 * R * Y2^-1 * Y1 * Y2 * R * Y2 * Y1 * Y2^-1 * Y1, (Y3 * Y2^-1)^9 ]
Map::
	R = (1, 163, 2, 164)(3, 165, 7, 169)(4, 166, 9, 171)(5, 167, 11, 173)(6, 168, 13, 175)(8, 170, 17, 179)(10, 172, 21, 183)(12, 174, 25, 187)(14, 176, 29, 191)(15, 177, 31, 193)(16, 178, 33, 195)(18, 180, 37, 199)(19, 181, 39, 201)(20, 182, 41, 203)(22, 184, 45, 207)(23, 185, 47, 209)(24, 186, 49, 211)(26, 188, 53, 215)(27, 189, 55, 217)(28, 190, 57, 219)(30, 192, 61, 223)(32, 194, 64, 226)(34, 196, 68, 230)(35, 197, 69, 231)(36, 198, 71, 233)(38, 200, 75, 237)(40, 202, 77, 239)(42, 204, 79, 241)(43, 205, 74, 236)(44, 206, 82, 244)(46, 208, 67, 229)(48, 210, 86, 248)(50, 212, 90, 252)(51, 213, 91, 253)(52, 214, 93, 255)(54, 216, 97, 259)(56, 218, 99, 261)(58, 220, 101, 263)(59, 221, 96, 258)(60, 222, 104, 266)(62, 224, 89, 251)(63, 225, 85, 247)(65, 227, 110, 272)(66, 228, 88, 250)(70, 232, 92, 254)(72, 234, 103, 265)(73, 235, 119, 281)(76, 238, 98, 260)(78, 240, 100, 262)(80, 242, 117, 279)(81, 243, 94, 256)(83, 245, 105, 267)(84, 246, 128, 290)(87, 249, 132, 294)(95, 257, 141, 303)(102, 264, 139, 301)(106, 268, 150, 312)(107, 269, 138, 300)(108, 270, 152, 314)(109, 271, 131, 293)(111, 273, 134, 296)(112, 274, 133, 295)(113, 275, 142, 304)(114, 276, 153, 315)(115, 277, 137, 299)(116, 278, 129, 291)(118, 280, 143, 305)(120, 282, 135, 297)(121, 283, 140, 302)(122, 284, 148, 310)(123, 285, 154, 316)(124, 286, 149, 311)(125, 287, 151, 313)(126, 288, 144, 306)(127, 289, 146, 308)(130, 292, 157, 319)(136, 298, 158, 320)(145, 307, 159, 321)(147, 309, 156, 318)(155, 317, 161, 323)(160, 322, 162, 324)(325, 487, 327, 489, 332, 494, 342, 504, 362, 524, 371, 533, 409, 571, 453, 615, 480, 642, 486, 648, 481, 643, 470, 632, 424, 586, 381, 543, 370, 532, 346, 508, 334, 496, 328, 490)(326, 488, 329, 491, 336, 498, 350, 512, 378, 540, 355, 517, 387, 549, 431, 593, 475, 637, 485, 647, 476, 638, 448, 610, 402, 564, 365, 527, 386, 548, 354, 516, 338, 500, 330, 492)(331, 493, 339, 501, 356, 518, 389, 551, 435, 597, 393, 555, 440, 602, 473, 635, 428, 590, 472, 634, 426, 588, 382, 544, 352, 514, 337, 499, 351, 513, 380, 542, 358, 520, 340, 502)(333, 495, 343, 505, 364, 526, 374, 536, 348, 510, 335, 497, 347, 509, 372, 534, 411, 573, 457, 619, 415, 577, 462, 624, 451, 613, 406, 568, 450, 612, 404, 566, 366, 528, 344, 506)(341, 503, 359, 521, 394, 556, 441, 603, 478, 640, 443, 605, 471, 633, 425, 587, 461, 623, 414, 576, 460, 622, 437, 599, 391, 553, 357, 519, 390, 552, 436, 598, 396, 558, 360, 522)(345, 507, 367, 529, 405, 567, 446, 608, 400, 562, 363, 525, 399, 561, 445, 607, 469, 631, 423, 585, 455, 617, 410, 572, 454, 616, 452, 614, 477, 639, 434, 596, 407, 569, 368, 530)(349, 511, 375, 537, 416, 578, 463, 625, 483, 645, 465, 627, 449, 611, 403, 565, 439, 601, 392, 554, 438, 600, 459, 621, 413, 575, 373, 535, 412, 574, 458, 620, 418, 580, 376, 538)(353, 515, 383, 545, 427, 589, 468, 630, 422, 584, 379, 541, 421, 583, 467, 629, 447, 609, 401, 563, 433, 595, 388, 550, 432, 594, 474, 636, 482, 644, 456, 618, 429, 591, 384, 546)(361, 523, 397, 559, 430, 592, 385, 547, 417, 579, 464, 626, 484, 646, 466, 628, 420, 582, 377, 539, 419, 581, 408, 570, 369, 531, 395, 557, 442, 604, 479, 641, 444, 606, 398, 560)
	L = (1, 326)(2, 325)(3, 331)(4, 333)(5, 335)(6, 337)(7, 327)(8, 341)(9, 328)(10, 345)(11, 329)(12, 349)(13, 330)(14, 353)(15, 355)(16, 357)(17, 332)(18, 361)(19, 363)(20, 365)(21, 334)(22, 369)(23, 371)(24, 373)(25, 336)(26, 377)(27, 379)(28, 381)(29, 338)(30, 385)(31, 339)(32, 388)(33, 340)(34, 392)(35, 393)(36, 395)(37, 342)(38, 399)(39, 343)(40, 401)(41, 344)(42, 403)(43, 398)(44, 406)(45, 346)(46, 391)(47, 347)(48, 410)(49, 348)(50, 414)(51, 415)(52, 417)(53, 350)(54, 421)(55, 351)(56, 423)(57, 352)(58, 425)(59, 420)(60, 428)(61, 354)(62, 413)(63, 409)(64, 356)(65, 434)(66, 412)(67, 370)(68, 358)(69, 359)(70, 416)(71, 360)(72, 427)(73, 443)(74, 367)(75, 362)(76, 422)(77, 364)(78, 424)(79, 366)(80, 441)(81, 418)(82, 368)(83, 429)(84, 452)(85, 387)(86, 372)(87, 456)(88, 390)(89, 386)(90, 374)(91, 375)(92, 394)(93, 376)(94, 405)(95, 465)(96, 383)(97, 378)(98, 400)(99, 380)(100, 402)(101, 382)(102, 463)(103, 396)(104, 384)(105, 407)(106, 474)(107, 462)(108, 476)(109, 455)(110, 389)(111, 458)(112, 457)(113, 466)(114, 477)(115, 461)(116, 453)(117, 404)(118, 467)(119, 397)(120, 459)(121, 464)(122, 472)(123, 478)(124, 473)(125, 475)(126, 468)(127, 470)(128, 408)(129, 440)(130, 481)(131, 433)(132, 411)(133, 436)(134, 435)(135, 444)(136, 482)(137, 439)(138, 431)(139, 426)(140, 445)(141, 419)(142, 437)(143, 442)(144, 450)(145, 483)(146, 451)(147, 480)(148, 446)(149, 448)(150, 430)(151, 449)(152, 432)(153, 438)(154, 447)(155, 485)(156, 471)(157, 454)(158, 460)(159, 469)(160, 486)(161, 479)(162, 484)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 2, 18, 2, 18 ), ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.2868
Graph:: bipartite
	v = 90 e = 324 f = 180
	degree seq :: [ 4^81, 36^9 ]

E28.2868 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 9, 18})
Quotient :: dipole
Aut^+ = ((C9 x C3) : C3) : C2 (small group id <162, 12>)
Aut   = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 40>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-3, Y3^-1 * Y1^2 * Y3^-1 * Y1^5, Y3^-5 * Y1^-2 * Y3 * Y1, (Y3^2 * Y1^-1)^3, Y1^2 * Y3^2 * Y1^-3 * Y3^-2 * Y1, (Y3 * Y2^-1)^18 ]
Map::
	R = (1, 163, 2, 164, 6, 168, 16, 178, 40, 202, 71, 233, 34, 196, 13, 175, 4, 166)(3, 165, 9, 171, 23, 185, 41, 203, 18, 180, 45, 207, 72, 234, 29, 191, 11, 173)(5, 167, 14, 176, 35, 197, 42, 204, 80, 242, 33, 195, 51, 213, 20, 182, 7, 169)(8, 170, 21, 183, 52, 214, 78, 240, 32, 194, 12, 174, 30, 192, 44, 206, 17, 179)(10, 172, 25, 187, 61, 223, 90, 252, 58, 220, 113, 275, 125, 287, 67, 229, 27, 189)(15, 177, 38, 200, 86, 248, 91, 253, 104, 266, 50, 212, 64, 226, 83, 245, 36, 198)(19, 181, 47, 209, 97, 259, 81, 243, 37, 199, 84, 246, 79, 241, 102, 264, 49, 211)(22, 184, 55, 217, 77, 239, 131, 293, 146, 308, 94, 256, 73, 235, 107, 269, 53, 215)(24, 186, 59, 221, 95, 257, 46, 208, 70, 232, 28, 190, 68, 230, 112, 274, 57, 219)(26, 188, 63, 225, 87, 249, 39, 201, 89, 251, 139, 301, 141, 303, 122, 284, 65, 227)(31, 193, 74, 236, 93, 255, 43, 205, 92, 254, 142, 304, 105, 267, 54, 216, 76, 238)(48, 210, 99, 261, 109, 271, 56, 218, 110, 272, 157, 319, 132, 294, 135, 297, 100, 262)(60, 222, 117, 279, 127, 289, 96, 258, 148, 310, 130, 292, 75, 237, 129, 291, 115, 277)(62, 224, 106, 268, 153, 315, 114, 276, 124, 286, 66, 228, 123, 285, 145, 307, 118, 280)(69, 231, 101, 263, 151, 313, 111, 273, 149, 311, 98, 260, 147, 309, 116, 278, 85, 247)(82, 244, 133, 295, 143, 305, 137, 299, 88, 250, 108, 270, 103, 265, 144, 306, 128, 290)(119, 281, 152, 314, 155, 317, 159, 321, 134, 296, 161, 323, 126, 288, 136, 298, 154, 316)(120, 282, 158, 320, 162, 324, 140, 302, 160, 322, 121, 283, 156, 318, 150, 312, 138, 300)(325, 487)(326, 488)(327, 489)(328, 490)(329, 491)(330, 492)(331, 493)(332, 494)(333, 495)(334, 496)(335, 497)(336, 498)(337, 499)(338, 500)(339, 501)(340, 502)(341, 503)(342, 504)(343, 505)(344, 506)(345, 507)(346, 508)(347, 509)(348, 510)(349, 511)(350, 512)(351, 513)(352, 514)(353, 515)(354, 516)(355, 517)(356, 518)(357, 519)(358, 520)(359, 521)(360, 522)(361, 523)(362, 524)(363, 525)(364, 526)(365, 527)(366, 528)(367, 529)(368, 530)(369, 531)(370, 532)(371, 533)(372, 534)(373, 535)(374, 536)(375, 537)(376, 538)(377, 539)(378, 540)(379, 541)(380, 542)(381, 543)(382, 544)(383, 545)(384, 546)(385, 547)(386, 548)(387, 549)(388, 550)(389, 551)(390, 552)(391, 553)(392, 554)(393, 555)(394, 556)(395, 557)(396, 558)(397, 559)(398, 560)(399, 561)(400, 562)(401, 563)(402, 564)(403, 565)(404, 566)(405, 567)(406, 568)(407, 569)(408, 570)(409, 571)(410, 572)(411, 573)(412, 574)(413, 575)(414, 576)(415, 577)(416, 578)(417, 579)(418, 580)(419, 581)(420, 582)(421, 583)(422, 584)(423, 585)(424, 586)(425, 587)(426, 588)(427, 589)(428, 590)(429, 591)(430, 592)(431, 593)(432, 594)(433, 595)(434, 596)(435, 597)(436, 598)(437, 599)(438, 600)(439, 601)(440, 602)(441, 603)(442, 604)(443, 605)(444, 606)(445, 607)(446, 608)(447, 609)(448, 610)(449, 611)(450, 612)(451, 613)(452, 614)(453, 615)(454, 616)(455, 617)(456, 618)(457, 619)(458, 620)(459, 621)(460, 622)(461, 623)(462, 624)(463, 625)(464, 626)(465, 627)(466, 628)(467, 629)(468, 630)(469, 631)(470, 632)(471, 633)(472, 634)(473, 635)(474, 636)(475, 637)(476, 638)(477, 639)(478, 640)(479, 641)(480, 642)(481, 643)(482, 644)(483, 645)(484, 646)(485, 647)(486, 648)
	L = (1, 327)(2, 331)(3, 334)(4, 336)(5, 325)(6, 341)(7, 343)(8, 326)(9, 328)(10, 350)(11, 352)(12, 355)(13, 357)(14, 360)(15, 329)(16, 365)(17, 367)(18, 330)(19, 372)(20, 374)(21, 377)(22, 332)(23, 381)(24, 333)(25, 335)(26, 388)(27, 390)(28, 393)(29, 395)(30, 337)(31, 399)(32, 401)(33, 403)(34, 396)(35, 405)(36, 406)(37, 338)(38, 411)(39, 339)(40, 359)(41, 414)(42, 340)(43, 384)(44, 418)(45, 419)(46, 342)(47, 344)(48, 397)(49, 425)(50, 427)(51, 358)(52, 429)(53, 430)(54, 345)(55, 433)(56, 346)(57, 435)(58, 347)(59, 439)(60, 348)(61, 442)(62, 349)(63, 351)(64, 375)(65, 445)(66, 379)(67, 369)(68, 353)(69, 450)(70, 451)(71, 376)(72, 449)(73, 354)(74, 356)(75, 392)(76, 412)(77, 448)(78, 364)(79, 456)(80, 410)(81, 380)(82, 458)(83, 389)(84, 440)(85, 361)(86, 461)(87, 462)(88, 362)(89, 385)(90, 363)(91, 366)(92, 368)(93, 468)(94, 469)(95, 471)(96, 370)(97, 473)(98, 371)(99, 373)(100, 464)(101, 394)(102, 404)(103, 476)(104, 463)(105, 420)(106, 478)(107, 424)(108, 378)(109, 480)(110, 421)(111, 443)(112, 454)(113, 477)(114, 382)(115, 482)(116, 383)(117, 417)(118, 470)(119, 386)(120, 387)(121, 441)(122, 437)(123, 391)(124, 479)(125, 465)(126, 447)(127, 484)(128, 398)(129, 400)(130, 474)(131, 402)(132, 455)(133, 407)(134, 422)(135, 408)(136, 409)(137, 460)(138, 472)(139, 486)(140, 413)(141, 415)(142, 457)(143, 416)(144, 428)(145, 485)(146, 481)(147, 483)(148, 466)(149, 436)(150, 423)(151, 426)(152, 475)(153, 431)(154, 467)(155, 432)(156, 446)(157, 444)(158, 434)(159, 438)(160, 459)(161, 452)(162, 453)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 4, 36 ), ( 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.2867
Graph:: simple bipartite
	v = 180 e = 324 f = 90
	degree seq :: [ 2^162, 18^18 ]

E28.2869 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 84})
Quotient :: regular
Aut^+ = C3 x D56 (small group id <168, 26>)
Aut   = S3 x D56 (small group id <336, 149>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-3 * T2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1^-3 * T2 * T1^11 * T2 * T1^-14 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 39, 53, 65, 77, 89, 101, 113, 125, 137, 149, 161, 156, 144, 133, 120, 108, 97, 84, 72, 61, 48, 32, 45, 34, 17, 29, 43, 56, 68, 80, 92, 104, 116, 128, 140, 152, 164, 168, 167, 157, 145, 132, 121, 109, 96, 85, 73, 60, 49, 33, 16, 28, 42, 35, 46, 58, 70, 82, 94, 106, 118, 130, 142, 154, 166, 160, 148, 136, 124, 112, 100, 88, 76, 64, 52, 38, 22, 10, 4)(3, 7, 15, 31, 47, 59, 71, 83, 95, 107, 119, 131, 143, 155, 162, 153, 139, 126, 117, 103, 90, 81, 67, 54, 44, 26, 12, 25, 20, 9, 19, 36, 50, 62, 74, 86, 98, 110, 122, 134, 146, 158, 163, 150, 141, 127, 114, 105, 91, 78, 69, 55, 40, 30, 14, 6, 13, 27, 21, 37, 51, 63, 75, 87, 99, 111, 123, 135, 147, 159, 165, 151, 138, 129, 115, 102, 93, 79, 66, 57, 41, 24, 18, 8)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 35)(19, 33)(20, 34)(22, 31)(23, 40)(25, 42)(26, 43)(27, 45)(30, 46)(36, 48)(37, 49)(38, 50)(39, 54)(41, 56)(44, 58)(47, 60)(51, 61)(52, 63)(53, 66)(55, 68)(57, 70)(59, 72)(62, 73)(64, 71)(65, 78)(67, 80)(69, 82)(74, 84)(75, 85)(76, 86)(77, 90)(79, 92)(81, 94)(83, 96)(87, 97)(88, 99)(89, 102)(91, 104)(93, 106)(95, 108)(98, 109)(100, 107)(101, 114)(103, 116)(105, 118)(110, 120)(111, 121)(112, 122)(113, 126)(115, 128)(117, 130)(119, 132)(123, 133)(124, 135)(125, 138)(127, 140)(129, 142)(131, 144)(134, 145)(136, 143)(137, 150)(139, 152)(141, 154)(146, 156)(147, 157)(148, 158)(149, 162)(151, 164)(153, 166)(155, 167)(159, 161)(160, 165)(163, 168)
	local type(s) :: { ( 6^84 ) }
Outer automorphisms :: reflexible
Dual of E28.2870
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 84 f = 28
	degree seq :: [ 84^2 ]

E28.2870 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 84})
Quotient :: regular
Aut^+ = C3 x D56 (small group id <168, 26>)
Aut   = S3 x D56 (small group id <336, 149>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^2 * T2 * T1^-1, T1^6, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1, T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-3 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-3 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-3 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-3 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-3 * T2 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 12, 20, 17, 8)(6, 13, 19, 18, 9, 14)(15, 23, 27, 25, 16, 24)(21, 28, 26, 30, 22, 29)(31, 37, 33, 39, 32, 38)(34, 40, 36, 42, 35, 41)(43, 49, 45, 51, 44, 50)(46, 52, 48, 54, 47, 53)(55, 71, 57, 70, 56, 75)(58, 100, 62, 109, 67, 102)(59, 103, 68, 108, 61, 105)(60, 104, 69, 114, 74, 107)(63, 110, 76, 113, 66, 101)(64, 96, 77, 95, 65, 94)(72, 115, 81, 118, 73, 106)(78, 119, 80, 112, 79, 111)(82, 123, 84, 117, 83, 116)(85, 122, 87, 121, 86, 120)(88, 126, 90, 125, 89, 124)(91, 129, 93, 128, 92, 127)(97, 132, 99, 131, 98, 130)(133, 136, 135, 137, 134, 138)(139, 151, 141, 147, 140, 148)(142, 166, 143, 167, 146, 168)(144, 160, 145, 161, 155, 162)(149, 163, 150, 164, 154, 165)(152, 156, 153, 157, 159, 158)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 19)(13, 21)(14, 22)(18, 26)(20, 27)(23, 31)(24, 32)(25, 33)(28, 34)(29, 35)(30, 36)(37, 43)(38, 44)(39, 45)(40, 46)(41, 47)(42, 48)(49, 55)(50, 56)(51, 57)(52, 94)(53, 95)(54, 96)(58, 101)(59, 104)(60, 106)(61, 107)(62, 110)(63, 111)(64, 100)(65, 102)(66, 112)(67, 113)(68, 114)(69, 115)(70, 103)(71, 105)(72, 116)(73, 117)(74, 118)(75, 108)(76, 119)(77, 109)(78, 120)(79, 121)(80, 122)(81, 123)(82, 124)(83, 125)(84, 126)(85, 127)(86, 128)(87, 129)(88, 130)(89, 131)(90, 132)(91, 133)(92, 134)(93, 135)(97, 139)(98, 140)(99, 141)(136, 168)(137, 166)(138, 167)(142, 160)(143, 161)(144, 152)(145, 153)(146, 162)(147, 163)(148, 164)(149, 156)(150, 157)(151, 165)(154, 158)(155, 159)
	local type(s) :: { ( 84^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2869
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 28 e = 84 f = 2
	degree seq :: [ 6^28 ]

E28.2871 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 84})
Quotient :: edge
Aut^+ = C3 x D56 (small group id <168, 26>)
Aut   = S3 x D56 (small group id <336, 149>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^2 * T1 * T2^-1, T2^6, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1, T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-3 * T1 ]
Map::
	R = (1, 3, 8, 17, 10, 4)(2, 5, 12, 21, 14, 6)(7, 15, 24, 18, 9, 16)(11, 19, 28, 22, 13, 20)(23, 31, 26, 33, 25, 32)(27, 34, 30, 36, 29, 35)(37, 43, 39, 45, 38, 44)(40, 46, 42, 48, 41, 47)(49, 55, 51, 57, 50, 56)(52, 94, 54, 96, 53, 95)(58, 101, 65, 113, 67, 102)(59, 104, 69, 116, 71, 105)(60, 106, 74, 108, 61, 107)(62, 109, 78, 111, 63, 110)(64, 112, 80, 114, 66, 100)(68, 115, 81, 117, 70, 103)(72, 118, 75, 120, 73, 119)(76, 121, 79, 123, 77, 122)(82, 124, 84, 126, 83, 125)(85, 127, 87, 129, 86, 128)(88, 130, 90, 132, 89, 131)(91, 133, 93, 135, 92, 134)(97, 139, 99, 141, 98, 140)(136, 168, 138, 167, 137, 166)(142, 161, 154, 160, 156, 162)(143, 148, 155, 150, 144, 149)(145, 164, 157, 163, 159, 165)(146, 151, 158, 153, 147, 152)(169, 170)(171, 175)(172, 177)(173, 179)(174, 181)(176, 180)(178, 182)(183, 191)(184, 193)(185, 192)(186, 194)(187, 195)(188, 197)(189, 196)(190, 198)(199, 205)(200, 206)(201, 207)(202, 208)(203, 209)(204, 210)(211, 217)(212, 218)(213, 219)(214, 220)(215, 221)(216, 222)(223, 238)(224, 249)(225, 236)(226, 268)(227, 271)(228, 272)(229, 273)(230, 269)(231, 270)(232, 264)(233, 280)(234, 262)(235, 282)(237, 283)(239, 285)(240, 274)(241, 275)(242, 284)(243, 276)(244, 277)(245, 278)(246, 281)(247, 279)(248, 263)(250, 286)(251, 287)(252, 288)(253, 289)(254, 290)(255, 291)(256, 292)(257, 293)(258, 294)(259, 295)(260, 296)(261, 297)(265, 298)(266, 299)(267, 300)(301, 304)(302, 305)(303, 306)(307, 313)(308, 327)(309, 325)(310, 336)(311, 329)(312, 330)(314, 332)(315, 333)(316, 319)(317, 320)(318, 321)(322, 335)(323, 328)(324, 334)(326, 331)
	L = (1, 169)(2, 170)(3, 171)(4, 172)(5, 173)(6, 174)(7, 175)(8, 176)(9, 177)(10, 178)(11, 179)(12, 180)(13, 181)(14, 182)(15, 183)(16, 184)(17, 185)(18, 186)(19, 187)(20, 188)(21, 189)(22, 190)(23, 191)(24, 192)(25, 193)(26, 194)(27, 195)(28, 196)(29, 197)(30, 198)(31, 199)(32, 200)(33, 201)(34, 202)(35, 203)(36, 204)(37, 205)(38, 206)(39, 207)(40, 208)(41, 209)(42, 210)(43, 211)(44, 212)(45, 213)(46, 214)(47, 215)(48, 216)(49, 217)(50, 218)(51, 219)(52, 220)(53, 221)(54, 222)(55, 223)(56, 224)(57, 225)(58, 226)(59, 227)(60, 228)(61, 229)(62, 230)(63, 231)(64, 232)(65, 233)(66, 234)(67, 235)(68, 236)(69, 237)(70, 238)(71, 239)(72, 240)(73, 241)(74, 242)(75, 243)(76, 244)(77, 245)(78, 246)(79, 247)(80, 248)(81, 249)(82, 250)(83, 251)(84, 252)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 168, 168 ), ( 168^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2875
Transitivity :: ET+
Graph:: simple bipartite
	v = 112 e = 168 f = 2
	degree seq :: [ 2^84, 6^28 ]

E28.2872 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 84})
Quotient :: edge
Aut^+ = C3 x D56 (small group id <168, 26>)
Aut   = S3 x D56 (small group id <336, 149>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^-1 * T1^-3, T2^-1 * T1 * T2^-1 * T1^3, (T2^2 * T1^-1)^2, (T2^8 * T1^-1)^2, T2^-17 * T1 * T2^11 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 37, 49, 61, 73, 85, 97, 109, 121, 133, 145, 157, 162, 150, 138, 126, 114, 102, 90, 78, 66, 54, 42, 30, 18, 6, 17, 29, 41, 53, 65, 77, 89, 101, 113, 125, 137, 149, 161, 168, 163, 151, 139, 127, 115, 103, 91, 79, 67, 55, 43, 31, 20, 13, 21, 33, 45, 57, 69, 81, 93, 105, 117, 129, 141, 153, 165, 160, 148, 136, 124, 112, 100, 88, 76, 64, 52, 40, 28, 15, 5)(2, 7, 19, 32, 44, 56, 68, 80, 92, 104, 116, 128, 140, 152, 164, 156, 144, 132, 120, 108, 96, 84, 72, 60, 48, 36, 24, 11, 16, 14, 27, 39, 51, 63, 75, 87, 99, 111, 123, 135, 147, 159, 167, 155, 143, 131, 119, 107, 95, 83, 71, 59, 47, 35, 23, 9, 4, 12, 26, 38, 50, 62, 74, 86, 98, 110, 122, 134, 146, 158, 166, 154, 142, 130, 118, 106, 94, 82, 70, 58, 46, 34, 22, 8)(169, 170, 174, 184, 181, 172)(171, 177, 185, 176, 189, 179)(173, 182, 186, 180, 188, 175)(178, 192, 197, 191, 201, 190)(183, 194, 198, 187, 199, 195)(193, 202, 209, 204, 213, 203)(196, 200, 210, 207, 211, 206)(205, 215, 221, 214, 225, 216)(208, 219, 222, 218, 223, 212)(217, 228, 233, 227, 237, 226)(220, 230, 234, 224, 235, 231)(229, 238, 245, 240, 249, 239)(232, 236, 246, 243, 247, 242)(241, 251, 257, 250, 261, 252)(244, 255, 258, 254, 259, 248)(253, 264, 269, 263, 273, 262)(256, 266, 270, 260, 271, 267)(265, 274, 281, 276, 285, 275)(268, 272, 282, 279, 283, 278)(277, 287, 293, 286, 297, 288)(280, 291, 294, 290, 295, 284)(289, 300, 305, 299, 309, 298)(292, 302, 306, 296, 307, 303)(301, 310, 317, 312, 321, 311)(304, 308, 318, 315, 319, 314)(313, 323, 329, 322, 333, 324)(316, 327, 330, 326, 331, 320)(325, 332, 336, 335, 328, 334)
	L = (1, 169)(2, 170)(3, 171)(4, 172)(5, 173)(6, 174)(7, 175)(8, 176)(9, 177)(10, 178)(11, 179)(12, 180)(13, 181)(14, 182)(15, 183)(16, 184)(17, 185)(18, 186)(19, 187)(20, 188)(21, 189)(22, 190)(23, 191)(24, 192)(25, 193)(26, 194)(27, 195)(28, 196)(29, 197)(30, 198)(31, 199)(32, 200)(33, 201)(34, 202)(35, 203)(36, 204)(37, 205)(38, 206)(39, 207)(40, 208)(41, 209)(42, 210)(43, 211)(44, 212)(45, 213)(46, 214)(47, 215)(48, 216)(49, 217)(50, 218)(51, 219)(52, 220)(53, 221)(54, 222)(55, 223)(56, 224)(57, 225)(58, 226)(59, 227)(60, 228)(61, 229)(62, 230)(63, 231)(64, 232)(65, 233)(66, 234)(67, 235)(68, 236)(69, 237)(70, 238)(71, 239)(72, 240)(73, 241)(74, 242)(75, 243)(76, 244)(77, 245)(78, 246)(79, 247)(80, 248)(81, 249)(82, 250)(83, 251)(84, 252)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 4^6 ), ( 4^84 ) }
Outer automorphisms :: reflexible
Dual of E28.2876
Transitivity :: ET+
Graph:: bipartite
	v = 30 e = 168 f = 84
	degree seq :: [ 6^28, 84^2 ]

E28.2873 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 84})
Quotient :: edge
Aut^+ = C3 x D56 (small group id <168, 26>)
Aut   = S3 x D56 (small group id <336, 149>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-3 * T2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1^-3 * T2 * T1^11 * T2 * T1^-14 ]
Map::
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 35)(19, 33)(20, 34)(22, 31)(23, 40)(25, 42)(26, 43)(27, 45)(30, 46)(36, 48)(37, 49)(38, 50)(39, 54)(41, 56)(44, 58)(47, 60)(51, 61)(52, 63)(53, 66)(55, 68)(57, 70)(59, 72)(62, 73)(64, 71)(65, 78)(67, 80)(69, 82)(74, 84)(75, 85)(76, 86)(77, 90)(79, 92)(81, 94)(83, 96)(87, 97)(88, 99)(89, 102)(91, 104)(93, 106)(95, 108)(98, 109)(100, 107)(101, 114)(103, 116)(105, 118)(110, 120)(111, 121)(112, 122)(113, 126)(115, 128)(117, 130)(119, 132)(123, 133)(124, 135)(125, 138)(127, 140)(129, 142)(131, 144)(134, 145)(136, 143)(137, 150)(139, 152)(141, 154)(146, 156)(147, 157)(148, 158)(149, 162)(151, 164)(153, 166)(155, 167)(159, 161)(160, 165)(163, 168)(169, 170, 173, 179, 191, 207, 221, 233, 245, 257, 269, 281, 293, 305, 317, 329, 324, 312, 301, 288, 276, 265, 252, 240, 229, 216, 200, 213, 202, 185, 197, 211, 224, 236, 248, 260, 272, 284, 296, 308, 320, 332, 336, 335, 325, 313, 300, 289, 277, 264, 253, 241, 228, 217, 201, 184, 196, 210, 203, 214, 226, 238, 250, 262, 274, 286, 298, 310, 322, 334, 328, 316, 304, 292, 280, 268, 256, 244, 232, 220, 206, 190, 178, 172)(171, 175, 183, 199, 215, 227, 239, 251, 263, 275, 287, 299, 311, 323, 330, 321, 307, 294, 285, 271, 258, 249, 235, 222, 212, 194, 180, 193, 188, 177, 187, 204, 218, 230, 242, 254, 266, 278, 290, 302, 314, 326, 331, 318, 309, 295, 282, 273, 259, 246, 237, 223, 208, 198, 182, 174, 181, 195, 189, 205, 219, 231, 243, 255, 267, 279, 291, 303, 315, 327, 333, 319, 306, 297, 283, 270, 261, 247, 234, 225, 209, 192, 186, 176)
	L = (1, 169)(2, 170)(3, 171)(4, 172)(5, 173)(6, 174)(7, 175)(8, 176)(9, 177)(10, 178)(11, 179)(12, 180)(13, 181)(14, 182)(15, 183)(16, 184)(17, 185)(18, 186)(19, 187)(20, 188)(21, 189)(22, 190)(23, 191)(24, 192)(25, 193)(26, 194)(27, 195)(28, 196)(29, 197)(30, 198)(31, 199)(32, 200)(33, 201)(34, 202)(35, 203)(36, 204)(37, 205)(38, 206)(39, 207)(40, 208)(41, 209)(42, 210)(43, 211)(44, 212)(45, 213)(46, 214)(47, 215)(48, 216)(49, 217)(50, 218)(51, 219)(52, 220)(53, 221)(54, 222)(55, 223)(56, 224)(57, 225)(58, 226)(59, 227)(60, 228)(61, 229)(62, 230)(63, 231)(64, 232)(65, 233)(66, 234)(67, 235)(68, 236)(69, 237)(70, 238)(71, 239)(72, 240)(73, 241)(74, 242)(75, 243)(76, 244)(77, 245)(78, 246)(79, 247)(80, 248)(81, 249)(82, 250)(83, 251)(84, 252)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 12, 12 ), ( 12^84 ) }
Outer automorphisms :: reflexible
Dual of E28.2874
Transitivity :: ET+
Graph:: simple bipartite
	v = 86 e = 168 f = 28
	degree seq :: [ 2^84, 84^2 ]

E28.2874 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 84})
Quotient :: loop
Aut^+ = C3 x D56 (small group id <168, 26>)
Aut   = S3 x D56 (small group id <336, 149>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^2 * T1 * T2^-1, T2^6, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1, T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-3 * T1 ]
Map::
	R = (1, 169, 3, 171, 8, 176, 17, 185, 10, 178, 4, 172)(2, 170, 5, 173, 12, 180, 21, 189, 14, 182, 6, 174)(7, 175, 15, 183, 24, 192, 18, 186, 9, 177, 16, 184)(11, 179, 19, 187, 28, 196, 22, 190, 13, 181, 20, 188)(23, 191, 31, 199, 26, 194, 33, 201, 25, 193, 32, 200)(27, 195, 34, 202, 30, 198, 36, 204, 29, 197, 35, 203)(37, 205, 43, 211, 39, 207, 45, 213, 38, 206, 44, 212)(40, 208, 46, 214, 42, 210, 48, 216, 41, 209, 47, 215)(49, 217, 55, 223, 51, 219, 57, 225, 50, 218, 56, 224)(52, 220, 88, 256, 54, 222, 90, 258, 53, 221, 89, 257)(58, 226, 94, 262, 64, 232, 104, 272, 65, 233, 95, 263)(59, 227, 96, 264, 66, 234, 105, 273, 67, 235, 97, 265)(60, 228, 98, 266, 70, 238, 100, 268, 61, 229, 99, 267)(62, 230, 101, 269, 74, 242, 103, 271, 63, 231, 102, 270)(68, 236, 106, 274, 71, 239, 108, 276, 69, 237, 107, 275)(72, 240, 109, 277, 75, 243, 111, 279, 73, 241, 110, 278)(76, 244, 112, 280, 78, 246, 114, 282, 77, 245, 113, 281)(79, 247, 115, 283, 81, 249, 117, 285, 80, 248, 116, 284)(82, 250, 118, 286, 84, 252, 120, 288, 83, 251, 119, 287)(85, 253, 121, 289, 87, 255, 123, 291, 86, 254, 122, 290)(91, 259, 127, 295, 93, 261, 129, 297, 92, 260, 128, 296)(124, 292, 160, 328, 126, 294, 162, 330, 125, 293, 161, 329)(130, 298, 165, 333, 140, 308, 164, 332, 131, 299, 163, 331)(132, 300, 166, 334, 141, 309, 168, 336, 133, 301, 167, 335)(134, 302, 158, 326, 136, 304, 157, 325, 135, 303, 159, 327)(137, 305, 155, 323, 139, 307, 154, 322, 138, 306, 156, 324)(142, 310, 151, 319, 144, 312, 153, 321, 143, 311, 152, 320)(145, 313, 148, 316, 147, 315, 150, 318, 146, 314, 149, 317)
	L = (1, 170)(2, 169)(3, 175)(4, 177)(5, 179)(6, 181)(7, 171)(8, 180)(9, 172)(10, 182)(11, 173)(12, 176)(13, 174)(14, 178)(15, 191)(16, 193)(17, 192)(18, 194)(19, 195)(20, 197)(21, 196)(22, 198)(23, 183)(24, 185)(25, 184)(26, 186)(27, 187)(28, 189)(29, 188)(30, 190)(31, 205)(32, 206)(33, 207)(34, 208)(35, 209)(36, 210)(37, 199)(38, 200)(39, 201)(40, 202)(41, 203)(42, 204)(43, 217)(44, 218)(45, 219)(46, 220)(47, 221)(48, 222)(49, 211)(50, 212)(51, 213)(52, 214)(53, 215)(54, 216)(55, 234)(56, 227)(57, 235)(58, 257)(59, 224)(60, 264)(61, 265)(62, 262)(63, 263)(64, 256)(65, 258)(66, 223)(67, 225)(68, 266)(69, 267)(70, 273)(71, 268)(72, 269)(73, 270)(74, 272)(75, 271)(76, 274)(77, 275)(78, 276)(79, 277)(80, 278)(81, 279)(82, 280)(83, 281)(84, 282)(85, 283)(86, 284)(87, 285)(88, 232)(89, 226)(90, 233)(91, 286)(92, 287)(93, 288)(94, 230)(95, 231)(96, 228)(97, 229)(98, 236)(99, 237)(100, 239)(101, 240)(102, 241)(103, 243)(104, 242)(105, 238)(106, 244)(107, 245)(108, 246)(109, 247)(110, 248)(111, 249)(112, 250)(113, 251)(114, 252)(115, 253)(116, 254)(117, 255)(118, 259)(119, 260)(120, 261)(121, 292)(122, 293)(123, 294)(124, 289)(125, 290)(126, 291)(127, 309)(128, 300)(129, 301)(130, 329)(131, 330)(132, 296)(133, 297)(134, 334)(135, 335)(136, 336)(137, 333)(138, 331)(139, 332)(140, 328)(141, 295)(142, 326)(143, 327)(144, 325)(145, 323)(146, 324)(147, 322)(148, 319)(149, 320)(150, 321)(151, 316)(152, 317)(153, 318)(154, 315)(155, 313)(156, 314)(157, 312)(158, 310)(159, 311)(160, 308)(161, 298)(162, 299)(163, 306)(164, 307)(165, 305)(166, 302)(167, 303)(168, 304)
	local type(s) :: { ( 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84 ) }
Outer automorphisms :: reflexible
Dual of E28.2873
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 28 e = 168 f = 86
	degree seq :: [ 12^28 ]

E28.2875 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 84})
Quotient :: loop
Aut^+ = C3 x D56 (small group id <168, 26>)
Aut   = S3 x D56 (small group id <336, 149>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^-1 * T1^-3, T2^-1 * T1 * T2^-1 * T1^3, (T2^2 * T1^-1)^2, (T2^8 * T1^-1)^2, T2^-17 * T1 * T2^11 * T1^-1 ]
Map::
	R = (1, 169, 3, 171, 10, 178, 25, 193, 37, 205, 49, 217, 61, 229, 73, 241, 85, 253, 97, 265, 109, 277, 121, 289, 133, 301, 145, 313, 157, 325, 162, 330, 150, 318, 138, 306, 126, 294, 114, 282, 102, 270, 90, 258, 78, 246, 66, 234, 54, 222, 42, 210, 30, 198, 18, 186, 6, 174, 17, 185, 29, 197, 41, 209, 53, 221, 65, 233, 77, 245, 89, 257, 101, 269, 113, 281, 125, 293, 137, 305, 149, 317, 161, 329, 168, 336, 163, 331, 151, 319, 139, 307, 127, 295, 115, 283, 103, 271, 91, 259, 79, 247, 67, 235, 55, 223, 43, 211, 31, 199, 20, 188, 13, 181, 21, 189, 33, 201, 45, 213, 57, 225, 69, 237, 81, 249, 93, 261, 105, 273, 117, 285, 129, 297, 141, 309, 153, 321, 165, 333, 160, 328, 148, 316, 136, 304, 124, 292, 112, 280, 100, 268, 88, 256, 76, 244, 64, 232, 52, 220, 40, 208, 28, 196, 15, 183, 5, 173)(2, 170, 7, 175, 19, 187, 32, 200, 44, 212, 56, 224, 68, 236, 80, 248, 92, 260, 104, 272, 116, 284, 128, 296, 140, 308, 152, 320, 164, 332, 156, 324, 144, 312, 132, 300, 120, 288, 108, 276, 96, 264, 84, 252, 72, 240, 60, 228, 48, 216, 36, 204, 24, 192, 11, 179, 16, 184, 14, 182, 27, 195, 39, 207, 51, 219, 63, 231, 75, 243, 87, 255, 99, 267, 111, 279, 123, 291, 135, 303, 147, 315, 159, 327, 167, 335, 155, 323, 143, 311, 131, 299, 119, 287, 107, 275, 95, 263, 83, 251, 71, 239, 59, 227, 47, 215, 35, 203, 23, 191, 9, 177, 4, 172, 12, 180, 26, 194, 38, 206, 50, 218, 62, 230, 74, 242, 86, 254, 98, 266, 110, 278, 122, 290, 134, 302, 146, 314, 158, 326, 166, 334, 154, 322, 142, 310, 130, 298, 118, 286, 106, 274, 94, 262, 82, 250, 70, 238, 58, 226, 46, 214, 34, 202, 22, 190, 8, 176)
	L = (1, 170)(2, 174)(3, 177)(4, 169)(5, 182)(6, 184)(7, 173)(8, 189)(9, 185)(10, 192)(11, 171)(12, 188)(13, 172)(14, 186)(15, 194)(16, 181)(17, 176)(18, 180)(19, 199)(20, 175)(21, 179)(22, 178)(23, 201)(24, 197)(25, 202)(26, 198)(27, 183)(28, 200)(29, 191)(30, 187)(31, 195)(32, 210)(33, 190)(34, 209)(35, 193)(36, 213)(37, 215)(38, 196)(39, 211)(40, 219)(41, 204)(42, 207)(43, 206)(44, 208)(45, 203)(46, 225)(47, 221)(48, 205)(49, 228)(50, 223)(51, 222)(52, 230)(53, 214)(54, 218)(55, 212)(56, 235)(57, 216)(58, 217)(59, 237)(60, 233)(61, 238)(62, 234)(63, 220)(64, 236)(65, 227)(66, 224)(67, 231)(68, 246)(69, 226)(70, 245)(71, 229)(72, 249)(73, 251)(74, 232)(75, 247)(76, 255)(77, 240)(78, 243)(79, 242)(80, 244)(81, 239)(82, 261)(83, 257)(84, 241)(85, 264)(86, 259)(87, 258)(88, 266)(89, 250)(90, 254)(91, 248)(92, 271)(93, 252)(94, 253)(95, 273)(96, 269)(97, 274)(98, 270)(99, 256)(100, 272)(101, 263)(102, 260)(103, 267)(104, 282)(105, 262)(106, 281)(107, 265)(108, 285)(109, 287)(110, 268)(111, 283)(112, 291)(113, 276)(114, 279)(115, 278)(116, 280)(117, 275)(118, 297)(119, 293)(120, 277)(121, 300)(122, 295)(123, 294)(124, 302)(125, 286)(126, 290)(127, 284)(128, 307)(129, 288)(130, 289)(131, 309)(132, 305)(133, 310)(134, 306)(135, 292)(136, 308)(137, 299)(138, 296)(139, 303)(140, 318)(141, 298)(142, 317)(143, 301)(144, 321)(145, 323)(146, 304)(147, 319)(148, 327)(149, 312)(150, 315)(151, 314)(152, 316)(153, 311)(154, 333)(155, 329)(156, 313)(157, 332)(158, 331)(159, 330)(160, 334)(161, 322)(162, 326)(163, 320)(164, 336)(165, 324)(166, 325)(167, 328)(168, 335)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2871
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 168 f = 112
	degree seq :: [ 168^2 ]

E28.2876 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 84})
Quotient :: loop
Aut^+ = C3 x D56 (small group id <168, 26>)
Aut   = S3 x D56 (small group id <336, 149>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-3 * T2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1^-3 * T2 * T1^11 * T2 * T1^-14 ]
Map:: polytopal non-degenerate
	R = (1, 169, 3, 171)(2, 170, 6, 174)(4, 172, 9, 177)(5, 173, 12, 180)(7, 175, 16, 184)(8, 176, 17, 185)(10, 178, 21, 189)(11, 179, 24, 192)(13, 181, 28, 196)(14, 182, 29, 197)(15, 183, 32, 200)(18, 186, 35, 203)(19, 187, 33, 201)(20, 188, 34, 202)(22, 190, 31, 199)(23, 191, 40, 208)(25, 193, 42, 210)(26, 194, 43, 211)(27, 195, 45, 213)(30, 198, 46, 214)(36, 204, 48, 216)(37, 205, 49, 217)(38, 206, 50, 218)(39, 207, 54, 222)(41, 209, 56, 224)(44, 212, 58, 226)(47, 215, 60, 228)(51, 219, 61, 229)(52, 220, 63, 231)(53, 221, 66, 234)(55, 223, 68, 236)(57, 225, 70, 238)(59, 227, 72, 240)(62, 230, 73, 241)(64, 232, 71, 239)(65, 233, 78, 246)(67, 235, 80, 248)(69, 237, 82, 250)(74, 242, 84, 252)(75, 243, 85, 253)(76, 244, 86, 254)(77, 245, 90, 258)(79, 247, 92, 260)(81, 249, 94, 262)(83, 251, 96, 264)(87, 255, 97, 265)(88, 256, 99, 267)(89, 257, 102, 270)(91, 259, 104, 272)(93, 261, 106, 274)(95, 263, 108, 276)(98, 266, 109, 277)(100, 268, 107, 275)(101, 269, 114, 282)(103, 271, 116, 284)(105, 273, 118, 286)(110, 278, 120, 288)(111, 279, 121, 289)(112, 280, 122, 290)(113, 281, 126, 294)(115, 283, 128, 296)(117, 285, 130, 298)(119, 287, 132, 300)(123, 291, 133, 301)(124, 292, 135, 303)(125, 293, 138, 306)(127, 295, 140, 308)(129, 297, 142, 310)(131, 299, 144, 312)(134, 302, 145, 313)(136, 304, 143, 311)(137, 305, 150, 318)(139, 307, 152, 320)(141, 309, 154, 322)(146, 314, 156, 324)(147, 315, 157, 325)(148, 316, 158, 326)(149, 317, 162, 330)(151, 319, 164, 332)(153, 321, 166, 334)(155, 323, 167, 335)(159, 327, 161, 329)(160, 328, 165, 333)(163, 331, 168, 336)
	L = (1, 170)(2, 173)(3, 175)(4, 169)(5, 179)(6, 181)(7, 183)(8, 171)(9, 187)(10, 172)(11, 191)(12, 193)(13, 195)(14, 174)(15, 199)(16, 196)(17, 197)(18, 176)(19, 204)(20, 177)(21, 205)(22, 178)(23, 207)(24, 186)(25, 188)(26, 180)(27, 189)(28, 210)(29, 211)(30, 182)(31, 215)(32, 213)(33, 184)(34, 185)(35, 214)(36, 218)(37, 219)(38, 190)(39, 221)(40, 198)(41, 192)(42, 203)(43, 224)(44, 194)(45, 202)(46, 226)(47, 227)(48, 200)(49, 201)(50, 230)(51, 231)(52, 206)(53, 233)(54, 212)(55, 208)(56, 236)(57, 209)(58, 238)(59, 239)(60, 217)(61, 216)(62, 242)(63, 243)(64, 220)(65, 245)(66, 225)(67, 222)(68, 248)(69, 223)(70, 250)(71, 251)(72, 229)(73, 228)(74, 254)(75, 255)(76, 232)(77, 257)(78, 237)(79, 234)(80, 260)(81, 235)(82, 262)(83, 263)(84, 240)(85, 241)(86, 266)(87, 267)(88, 244)(89, 269)(90, 249)(91, 246)(92, 272)(93, 247)(94, 274)(95, 275)(96, 253)(97, 252)(98, 278)(99, 279)(100, 256)(101, 281)(102, 261)(103, 258)(104, 284)(105, 259)(106, 286)(107, 287)(108, 265)(109, 264)(110, 290)(111, 291)(112, 268)(113, 293)(114, 273)(115, 270)(116, 296)(117, 271)(118, 298)(119, 299)(120, 276)(121, 277)(122, 302)(123, 303)(124, 280)(125, 305)(126, 285)(127, 282)(128, 308)(129, 283)(130, 310)(131, 311)(132, 289)(133, 288)(134, 314)(135, 315)(136, 292)(137, 317)(138, 297)(139, 294)(140, 320)(141, 295)(142, 322)(143, 323)(144, 301)(145, 300)(146, 326)(147, 327)(148, 304)(149, 329)(150, 309)(151, 306)(152, 332)(153, 307)(154, 334)(155, 330)(156, 312)(157, 313)(158, 331)(159, 333)(160, 316)(161, 324)(162, 321)(163, 318)(164, 336)(165, 319)(166, 328)(167, 325)(168, 335)
	local type(s) :: { ( 6, 84, 6, 84 ) }
Outer automorphisms :: reflexible
Dual of E28.2872
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 84 e = 168 f = 30
	degree seq :: [ 4^84 ]

E28.2877 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 84})
Quotient :: dipole
Aut^+ = C3 x D56 (small group id <168, 26>)
Aut   = S3 x D56 (small group id <336, 149>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^6, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, (Y2^-1 * R * Y2^-1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1, (Y3 * Y2^-1)^84 ]
Map::
	R = (1, 169, 2, 170)(3, 171, 7, 175)(4, 172, 9, 177)(5, 173, 11, 179)(6, 174, 13, 181)(8, 176, 12, 180)(10, 178, 14, 182)(15, 183, 23, 191)(16, 184, 25, 193)(17, 185, 24, 192)(18, 186, 26, 194)(19, 187, 27, 195)(20, 188, 29, 197)(21, 189, 28, 196)(22, 190, 30, 198)(31, 199, 37, 205)(32, 200, 38, 206)(33, 201, 39, 207)(34, 202, 40, 208)(35, 203, 41, 209)(36, 204, 42, 210)(43, 211, 49, 217)(44, 212, 50, 218)(45, 213, 51, 219)(46, 214, 52, 220)(47, 215, 53, 221)(48, 216, 54, 222)(55, 223, 58, 226)(56, 224, 63, 231)(57, 225, 61, 229)(59, 227, 85, 253)(60, 228, 91, 259)(62, 230, 93, 261)(64, 232, 94, 262)(65, 233, 89, 257)(66, 234, 96, 264)(67, 235, 87, 255)(68, 236, 97, 265)(69, 237, 100, 268)(70, 238, 99, 267)(71, 239, 103, 271)(72, 240, 105, 273)(73, 241, 108, 276)(74, 242, 107, 275)(75, 243, 111, 279)(76, 244, 113, 281)(77, 245, 115, 283)(78, 246, 118, 286)(79, 247, 120, 288)(80, 248, 122, 290)(81, 249, 125, 293)(82, 250, 127, 295)(83, 251, 129, 297)(84, 252, 131, 299)(86, 254, 133, 301)(88, 256, 135, 303)(90, 258, 137, 305)(92, 260, 139, 307)(95, 263, 146, 314)(98, 266, 152, 320)(101, 269, 143, 311)(102, 270, 154, 322)(104, 272, 141, 309)(106, 274, 156, 324)(109, 277, 145, 313)(110, 278, 158, 326)(112, 280, 148, 316)(114, 282, 160, 328)(116, 284, 151, 319)(117, 285, 162, 330)(119, 287, 159, 327)(121, 289, 166, 334)(123, 291, 155, 323)(124, 292, 161, 329)(126, 294, 164, 332)(128, 296, 168, 336)(130, 298, 167, 335)(132, 300, 157, 325)(134, 302, 165, 333)(136, 304, 163, 331)(138, 306, 153, 321)(140, 308, 147, 315)(142, 310, 149, 317)(144, 312, 150, 318)(337, 505, 339, 507, 344, 512, 353, 521, 346, 514, 340, 508)(338, 506, 341, 509, 348, 516, 357, 525, 350, 518, 342, 510)(343, 511, 351, 519, 360, 528, 354, 522, 345, 513, 352, 520)(347, 515, 355, 523, 364, 532, 358, 526, 349, 517, 356, 524)(359, 527, 367, 535, 362, 530, 369, 537, 361, 529, 368, 536)(363, 531, 370, 538, 366, 534, 372, 540, 365, 533, 371, 539)(373, 541, 379, 547, 375, 543, 381, 549, 374, 542, 380, 548)(376, 544, 382, 550, 378, 546, 384, 552, 377, 545, 383, 551)(385, 553, 391, 559, 387, 555, 393, 561, 386, 554, 392, 560)(388, 556, 421, 589, 390, 558, 425, 593, 389, 557, 423, 591)(394, 562, 427, 595, 397, 565, 436, 604, 399, 567, 429, 597)(395, 563, 430, 598, 401, 569, 444, 612, 403, 571, 432, 600)(396, 564, 433, 601, 405, 573, 439, 607, 398, 566, 435, 603)(400, 568, 441, 609, 409, 577, 447, 615, 402, 570, 443, 611)(404, 572, 449, 617, 407, 575, 454, 622, 406, 574, 451, 619)(408, 576, 456, 624, 411, 579, 461, 629, 410, 578, 458, 626)(412, 580, 463, 631, 414, 582, 467, 635, 413, 581, 465, 633)(415, 583, 469, 637, 417, 585, 473, 641, 416, 584, 471, 639)(418, 586, 475, 643, 420, 588, 479, 647, 419, 587, 477, 645)(422, 590, 482, 650, 426, 594, 481, 649, 424, 592, 484, 652)(428, 596, 488, 656, 437, 605, 487, 655, 440, 608, 490, 658)(431, 599, 492, 660, 445, 613, 491, 659, 448, 616, 494, 662)(434, 602, 496, 664, 452, 620, 495, 663, 438, 606, 498, 666)(442, 610, 502, 670, 459, 627, 500, 668, 446, 614, 497, 665)(450, 618, 504, 672, 455, 623, 493, 661, 453, 621, 503, 671)(457, 625, 501, 669, 462, 630, 489, 657, 460, 628, 499, 667)(464, 632, 483, 651, 468, 636, 486, 654, 466, 634, 485, 653)(470, 638, 476, 644, 474, 642, 480, 648, 472, 640, 478, 646)
	L = (1, 338)(2, 337)(3, 343)(4, 345)(5, 347)(6, 349)(7, 339)(8, 348)(9, 340)(10, 350)(11, 341)(12, 344)(13, 342)(14, 346)(15, 359)(16, 361)(17, 360)(18, 362)(19, 363)(20, 365)(21, 364)(22, 366)(23, 351)(24, 353)(25, 352)(26, 354)(27, 355)(28, 357)(29, 356)(30, 358)(31, 373)(32, 374)(33, 375)(34, 376)(35, 377)(36, 378)(37, 367)(38, 368)(39, 369)(40, 370)(41, 371)(42, 372)(43, 385)(44, 386)(45, 387)(46, 388)(47, 389)(48, 390)(49, 379)(50, 380)(51, 381)(52, 382)(53, 383)(54, 384)(55, 394)(56, 399)(57, 397)(58, 391)(59, 421)(60, 427)(61, 393)(62, 429)(63, 392)(64, 430)(65, 425)(66, 432)(67, 423)(68, 433)(69, 436)(70, 435)(71, 439)(72, 441)(73, 444)(74, 443)(75, 447)(76, 449)(77, 451)(78, 454)(79, 456)(80, 458)(81, 461)(82, 463)(83, 465)(84, 467)(85, 395)(86, 469)(87, 403)(88, 471)(89, 401)(90, 473)(91, 396)(92, 475)(93, 398)(94, 400)(95, 482)(96, 402)(97, 404)(98, 488)(99, 406)(100, 405)(101, 479)(102, 490)(103, 407)(104, 477)(105, 408)(106, 492)(107, 410)(108, 409)(109, 481)(110, 494)(111, 411)(112, 484)(113, 412)(114, 496)(115, 413)(116, 487)(117, 498)(118, 414)(119, 495)(120, 415)(121, 502)(122, 416)(123, 491)(124, 497)(125, 417)(126, 500)(127, 418)(128, 504)(129, 419)(130, 503)(131, 420)(132, 493)(133, 422)(134, 501)(135, 424)(136, 499)(137, 426)(138, 489)(139, 428)(140, 483)(141, 440)(142, 485)(143, 437)(144, 486)(145, 445)(146, 431)(147, 476)(148, 448)(149, 478)(150, 480)(151, 452)(152, 434)(153, 474)(154, 438)(155, 459)(156, 442)(157, 468)(158, 446)(159, 455)(160, 450)(161, 460)(162, 453)(163, 472)(164, 462)(165, 470)(166, 457)(167, 466)(168, 464)(169, 505)(170, 506)(171, 507)(172, 508)(173, 509)(174, 510)(175, 511)(176, 512)(177, 513)(178, 514)(179, 515)(180, 516)(181, 517)(182, 518)(183, 519)(184, 520)(185, 521)(186, 522)(187, 523)(188, 524)(189, 525)(190, 526)(191, 527)(192, 528)(193, 529)(194, 530)(195, 531)(196, 532)(197, 533)(198, 534)(199, 535)(200, 536)(201, 537)(202, 538)(203, 539)(204, 540)(205, 541)(206, 542)(207, 543)(208, 544)(209, 545)(210, 546)(211, 547)(212, 548)(213, 549)(214, 550)(215, 551)(216, 552)(217, 553)(218, 554)(219, 555)(220, 556)(221, 557)(222, 558)(223, 559)(224, 560)(225, 561)(226, 562)(227, 563)(228, 564)(229, 565)(230, 566)(231, 567)(232, 568)(233, 569)(234, 570)(235, 571)(236, 572)(237, 573)(238, 574)(239, 575)(240, 576)(241, 577)(242, 578)(243, 579)(244, 580)(245, 581)(246, 582)(247, 583)(248, 584)(249, 585)(250, 586)(251, 587)(252, 588)(253, 589)(254, 590)(255, 591)(256, 592)(257, 593)(258, 594)(259, 595)(260, 596)(261, 597)(262, 598)(263, 599)(264, 600)(265, 601)(266, 602)(267, 603)(268, 604)(269, 605)(270, 606)(271, 607)(272, 608)(273, 609)(274, 610)(275, 611)(276, 612)(277, 613)(278, 614)(279, 615)(280, 616)(281, 617)(282, 618)(283, 619)(284, 620)(285, 621)(286, 622)(287, 623)(288, 624)(289, 625)(290, 626)(291, 627)(292, 628)(293, 629)(294, 630)(295, 631)(296, 632)(297, 633)(298, 634)(299, 635)(300, 636)(301, 637)(302, 638)(303, 639)(304, 640)(305, 641)(306, 642)(307, 643)(308, 644)(309, 645)(310, 646)(311, 647)(312, 648)(313, 649)(314, 650)(315, 651)(316, 652)(317, 653)(318, 654)(319, 655)(320, 656)(321, 657)(322, 658)(323, 659)(324, 660)(325, 661)(326, 662)(327, 663)(328, 664)(329, 665)(330, 666)(331, 667)(332, 668)(333, 669)(334, 670)(335, 671)(336, 672)
	local type(s) :: { ( 2, 168, 2, 168 ), ( 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168 ) }
Outer automorphisms :: reflexible
Dual of E28.2880
Graph:: bipartite
	v = 112 e = 336 f = 170
	degree seq :: [ 4^84, 12^28 ]

E28.2878 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 84})
Quotient :: dipole
Aut^+ = C3 x D56 (small group id <168, 26>)
Aut   = S3 x D56 (small group id <336, 149>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, (Y2^-1 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, R * Y2 * R * Y3, Y2^-1 * Y1 * Y2^-1 * Y1^-3, (Y2^-2 * Y1)^2, Y1^6, (Y2^8 * Y1^-1)^2, Y2^26 * Y1 * Y2^-2 * Y1^-1 ]
Map::
	R = (1, 169, 2, 170, 6, 174, 16, 184, 13, 181, 4, 172)(3, 171, 9, 177, 17, 185, 8, 176, 21, 189, 11, 179)(5, 173, 14, 182, 18, 186, 12, 180, 20, 188, 7, 175)(10, 178, 24, 192, 29, 197, 23, 191, 33, 201, 22, 190)(15, 183, 26, 194, 30, 198, 19, 187, 31, 199, 27, 195)(25, 193, 34, 202, 41, 209, 36, 204, 45, 213, 35, 203)(28, 196, 32, 200, 42, 210, 39, 207, 43, 211, 38, 206)(37, 205, 47, 215, 53, 221, 46, 214, 57, 225, 48, 216)(40, 208, 51, 219, 54, 222, 50, 218, 55, 223, 44, 212)(49, 217, 60, 228, 65, 233, 59, 227, 69, 237, 58, 226)(52, 220, 62, 230, 66, 234, 56, 224, 67, 235, 63, 231)(61, 229, 70, 238, 77, 245, 72, 240, 81, 249, 71, 239)(64, 232, 68, 236, 78, 246, 75, 243, 79, 247, 74, 242)(73, 241, 83, 251, 89, 257, 82, 250, 93, 261, 84, 252)(76, 244, 87, 255, 90, 258, 86, 254, 91, 259, 80, 248)(85, 253, 96, 264, 101, 269, 95, 263, 105, 273, 94, 262)(88, 256, 98, 266, 102, 270, 92, 260, 103, 271, 99, 267)(97, 265, 106, 274, 113, 281, 108, 276, 117, 285, 107, 275)(100, 268, 104, 272, 114, 282, 111, 279, 115, 283, 110, 278)(109, 277, 119, 287, 125, 293, 118, 286, 129, 297, 120, 288)(112, 280, 123, 291, 126, 294, 122, 290, 127, 295, 116, 284)(121, 289, 132, 300, 137, 305, 131, 299, 141, 309, 130, 298)(124, 292, 134, 302, 138, 306, 128, 296, 139, 307, 135, 303)(133, 301, 142, 310, 149, 317, 144, 312, 153, 321, 143, 311)(136, 304, 140, 308, 150, 318, 147, 315, 151, 319, 146, 314)(145, 313, 155, 323, 161, 329, 154, 322, 165, 333, 156, 324)(148, 316, 159, 327, 162, 330, 158, 326, 163, 331, 152, 320)(157, 325, 164, 332, 168, 336, 167, 335, 160, 328, 166, 334)(337, 505, 339, 507, 346, 514, 361, 529, 373, 541, 385, 553, 397, 565, 409, 577, 421, 589, 433, 601, 445, 613, 457, 625, 469, 637, 481, 649, 493, 661, 498, 666, 486, 654, 474, 642, 462, 630, 450, 618, 438, 606, 426, 594, 414, 582, 402, 570, 390, 558, 378, 546, 366, 534, 354, 522, 342, 510, 353, 521, 365, 533, 377, 545, 389, 557, 401, 569, 413, 581, 425, 593, 437, 605, 449, 617, 461, 629, 473, 641, 485, 653, 497, 665, 504, 672, 499, 667, 487, 655, 475, 643, 463, 631, 451, 619, 439, 607, 427, 595, 415, 583, 403, 571, 391, 559, 379, 547, 367, 535, 356, 524, 349, 517, 357, 525, 369, 537, 381, 549, 393, 561, 405, 573, 417, 585, 429, 597, 441, 609, 453, 621, 465, 633, 477, 645, 489, 657, 501, 669, 496, 664, 484, 652, 472, 640, 460, 628, 448, 616, 436, 604, 424, 592, 412, 580, 400, 568, 388, 556, 376, 544, 364, 532, 351, 519, 341, 509)(338, 506, 343, 511, 355, 523, 368, 536, 380, 548, 392, 560, 404, 572, 416, 584, 428, 596, 440, 608, 452, 620, 464, 632, 476, 644, 488, 656, 500, 668, 492, 660, 480, 648, 468, 636, 456, 624, 444, 612, 432, 600, 420, 588, 408, 576, 396, 564, 384, 552, 372, 540, 360, 528, 347, 515, 352, 520, 350, 518, 363, 531, 375, 543, 387, 555, 399, 567, 411, 579, 423, 591, 435, 603, 447, 615, 459, 627, 471, 639, 483, 651, 495, 663, 503, 671, 491, 659, 479, 647, 467, 635, 455, 623, 443, 611, 431, 599, 419, 587, 407, 575, 395, 563, 383, 551, 371, 539, 359, 527, 345, 513, 340, 508, 348, 516, 362, 530, 374, 542, 386, 554, 398, 566, 410, 578, 422, 590, 434, 602, 446, 614, 458, 626, 470, 638, 482, 650, 494, 662, 502, 670, 490, 658, 478, 646, 466, 634, 454, 622, 442, 610, 430, 598, 418, 586, 406, 574, 394, 562, 382, 550, 370, 538, 358, 526, 344, 512)
	L = (1, 339)(2, 343)(3, 346)(4, 348)(5, 337)(6, 353)(7, 355)(8, 338)(9, 340)(10, 361)(11, 352)(12, 362)(13, 357)(14, 363)(15, 341)(16, 350)(17, 365)(18, 342)(19, 368)(20, 349)(21, 369)(22, 344)(23, 345)(24, 347)(25, 373)(26, 374)(27, 375)(28, 351)(29, 377)(30, 354)(31, 356)(32, 380)(33, 381)(34, 358)(35, 359)(36, 360)(37, 385)(38, 386)(39, 387)(40, 364)(41, 389)(42, 366)(43, 367)(44, 392)(45, 393)(46, 370)(47, 371)(48, 372)(49, 397)(50, 398)(51, 399)(52, 376)(53, 401)(54, 378)(55, 379)(56, 404)(57, 405)(58, 382)(59, 383)(60, 384)(61, 409)(62, 410)(63, 411)(64, 388)(65, 413)(66, 390)(67, 391)(68, 416)(69, 417)(70, 394)(71, 395)(72, 396)(73, 421)(74, 422)(75, 423)(76, 400)(77, 425)(78, 402)(79, 403)(80, 428)(81, 429)(82, 406)(83, 407)(84, 408)(85, 433)(86, 434)(87, 435)(88, 412)(89, 437)(90, 414)(91, 415)(92, 440)(93, 441)(94, 418)(95, 419)(96, 420)(97, 445)(98, 446)(99, 447)(100, 424)(101, 449)(102, 426)(103, 427)(104, 452)(105, 453)(106, 430)(107, 431)(108, 432)(109, 457)(110, 458)(111, 459)(112, 436)(113, 461)(114, 438)(115, 439)(116, 464)(117, 465)(118, 442)(119, 443)(120, 444)(121, 469)(122, 470)(123, 471)(124, 448)(125, 473)(126, 450)(127, 451)(128, 476)(129, 477)(130, 454)(131, 455)(132, 456)(133, 481)(134, 482)(135, 483)(136, 460)(137, 485)(138, 462)(139, 463)(140, 488)(141, 489)(142, 466)(143, 467)(144, 468)(145, 493)(146, 494)(147, 495)(148, 472)(149, 497)(150, 474)(151, 475)(152, 500)(153, 501)(154, 478)(155, 479)(156, 480)(157, 498)(158, 502)(159, 503)(160, 484)(161, 504)(162, 486)(163, 487)(164, 492)(165, 496)(166, 490)(167, 491)(168, 499)(169, 505)(170, 506)(171, 507)(172, 508)(173, 509)(174, 510)(175, 511)(176, 512)(177, 513)(178, 514)(179, 515)(180, 516)(181, 517)(182, 518)(183, 519)(184, 520)(185, 521)(186, 522)(187, 523)(188, 524)(189, 525)(190, 526)(191, 527)(192, 528)(193, 529)(194, 530)(195, 531)(196, 532)(197, 533)(198, 534)(199, 535)(200, 536)(201, 537)(202, 538)(203, 539)(204, 540)(205, 541)(206, 542)(207, 543)(208, 544)(209, 545)(210, 546)(211, 547)(212, 548)(213, 549)(214, 550)(215, 551)(216, 552)(217, 553)(218, 554)(219, 555)(220, 556)(221, 557)(222, 558)(223, 559)(224, 560)(225, 561)(226, 562)(227, 563)(228, 564)(229, 565)(230, 566)(231, 567)(232, 568)(233, 569)(234, 570)(235, 571)(236, 572)(237, 573)(238, 574)(239, 575)(240, 576)(241, 577)(242, 578)(243, 579)(244, 580)(245, 581)(246, 582)(247, 583)(248, 584)(249, 585)(250, 586)(251, 587)(252, 588)(253, 589)(254, 590)(255, 591)(256, 592)(257, 593)(258, 594)(259, 595)(260, 596)(261, 597)(262, 598)(263, 599)(264, 600)(265, 601)(266, 602)(267, 603)(268, 604)(269, 605)(270, 606)(271, 607)(272, 608)(273, 609)(274, 610)(275, 611)(276, 612)(277, 613)(278, 614)(279, 615)(280, 616)(281, 617)(282, 618)(283, 619)(284, 620)(285, 621)(286, 622)(287, 623)(288, 624)(289, 625)(290, 626)(291, 627)(292, 628)(293, 629)(294, 630)(295, 631)(296, 632)(297, 633)(298, 634)(299, 635)(300, 636)(301, 637)(302, 638)(303, 639)(304, 640)(305, 641)(306, 642)(307, 643)(308, 644)(309, 645)(310, 646)(311, 647)(312, 648)(313, 649)(314, 650)(315, 651)(316, 652)(317, 653)(318, 654)(319, 655)(320, 656)(321, 657)(322, 658)(323, 659)(324, 660)(325, 661)(326, 662)(327, 663)(328, 664)(329, 665)(330, 666)(331, 667)(332, 668)(333, 669)(334, 670)(335, 671)(336, 672)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.2879
Graph:: bipartite
	v = 30 e = 336 f = 252
	degree seq :: [ 12^28, 168^2 ]

E28.2879 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 84})
Quotient :: dipole
Aut^+ = C3 x D56 (small group id <168, 26>)
Aut   = S3 x D56 (small group id <336, 149>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^3 * Y2)^2, Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2, Y3^8 * Y2 * Y3^-20 * Y2, (Y3^-1 * Y1^-1)^84 ]
Map:: polytopal
	R = (1, 169)(2, 170)(3, 171)(4, 172)(5, 173)(6, 174)(7, 175)(8, 176)(9, 177)(10, 178)(11, 179)(12, 180)(13, 181)(14, 182)(15, 183)(16, 184)(17, 185)(18, 186)(19, 187)(20, 188)(21, 189)(22, 190)(23, 191)(24, 192)(25, 193)(26, 194)(27, 195)(28, 196)(29, 197)(30, 198)(31, 199)(32, 200)(33, 201)(34, 202)(35, 203)(36, 204)(37, 205)(38, 206)(39, 207)(40, 208)(41, 209)(42, 210)(43, 211)(44, 212)(45, 213)(46, 214)(47, 215)(48, 216)(49, 217)(50, 218)(51, 219)(52, 220)(53, 221)(54, 222)(55, 223)(56, 224)(57, 225)(58, 226)(59, 227)(60, 228)(61, 229)(62, 230)(63, 231)(64, 232)(65, 233)(66, 234)(67, 235)(68, 236)(69, 237)(70, 238)(71, 239)(72, 240)(73, 241)(74, 242)(75, 243)(76, 244)(77, 245)(78, 246)(79, 247)(80, 248)(81, 249)(82, 250)(83, 251)(84, 252)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)(337, 505, 338, 506)(339, 507, 343, 511)(340, 508, 345, 513)(341, 509, 347, 515)(342, 510, 349, 517)(344, 512, 353, 521)(346, 514, 357, 525)(348, 516, 361, 529)(350, 518, 365, 533)(351, 519, 359, 527)(352, 520, 363, 531)(354, 522, 366, 534)(355, 523, 360, 528)(356, 524, 364, 532)(358, 526, 362, 530)(367, 535, 377, 545)(368, 536, 381, 549)(369, 537, 375, 543)(370, 538, 380, 548)(371, 539, 383, 551)(372, 540, 378, 546)(373, 541, 376, 544)(374, 542, 386, 554)(379, 547, 389, 557)(382, 550, 392, 560)(384, 552, 393, 561)(385, 553, 396, 564)(387, 555, 390, 558)(388, 556, 399, 567)(391, 559, 402, 570)(394, 562, 405, 573)(395, 563, 404, 572)(397, 565, 406, 574)(398, 566, 401, 569)(400, 568, 403, 571)(407, 575, 417, 585)(408, 576, 416, 584)(409, 577, 419, 587)(410, 578, 414, 582)(411, 579, 413, 581)(412, 580, 422, 590)(415, 583, 425, 593)(418, 586, 428, 596)(420, 588, 429, 597)(421, 589, 432, 600)(423, 591, 426, 594)(424, 592, 435, 603)(427, 595, 438, 606)(430, 598, 441, 609)(431, 599, 440, 608)(433, 601, 442, 610)(434, 602, 437, 605)(436, 604, 439, 607)(443, 611, 453, 621)(444, 612, 452, 620)(445, 613, 455, 623)(446, 614, 450, 618)(447, 615, 449, 617)(448, 616, 458, 626)(451, 619, 461, 629)(454, 622, 464, 632)(456, 624, 465, 633)(457, 625, 468, 636)(459, 627, 462, 630)(460, 628, 471, 639)(463, 631, 474, 642)(466, 634, 477, 645)(467, 635, 476, 644)(469, 637, 478, 646)(470, 638, 473, 641)(472, 640, 475, 643)(479, 647, 489, 657)(480, 648, 488, 656)(481, 649, 491, 659)(482, 650, 486, 654)(483, 651, 485, 653)(484, 652, 494, 662)(487, 655, 497, 665)(490, 658, 500, 668)(492, 660, 501, 669)(493, 661, 499, 667)(495, 663, 498, 666)(496, 664, 502, 670)(503, 671, 504, 672)
	L = (1, 339)(2, 341)(3, 344)(4, 337)(5, 348)(6, 338)(7, 351)(8, 354)(9, 355)(10, 340)(11, 359)(12, 362)(13, 363)(14, 342)(15, 367)(16, 343)(17, 369)(18, 371)(19, 372)(20, 345)(21, 373)(22, 346)(23, 375)(24, 347)(25, 377)(26, 379)(27, 380)(28, 349)(29, 381)(30, 350)(31, 357)(32, 352)(33, 356)(34, 353)(35, 385)(36, 386)(37, 387)(38, 358)(39, 365)(40, 360)(41, 364)(42, 361)(43, 391)(44, 392)(45, 393)(46, 366)(47, 368)(48, 370)(49, 397)(50, 398)(51, 399)(52, 374)(53, 376)(54, 378)(55, 403)(56, 404)(57, 405)(58, 382)(59, 383)(60, 384)(61, 409)(62, 410)(63, 411)(64, 388)(65, 389)(66, 390)(67, 415)(68, 416)(69, 417)(70, 394)(71, 395)(72, 396)(73, 421)(74, 422)(75, 423)(76, 400)(77, 401)(78, 402)(79, 427)(80, 428)(81, 429)(82, 406)(83, 407)(84, 408)(85, 433)(86, 434)(87, 435)(88, 412)(89, 413)(90, 414)(91, 439)(92, 440)(93, 441)(94, 418)(95, 419)(96, 420)(97, 445)(98, 446)(99, 447)(100, 424)(101, 425)(102, 426)(103, 451)(104, 452)(105, 453)(106, 430)(107, 431)(108, 432)(109, 457)(110, 458)(111, 459)(112, 436)(113, 437)(114, 438)(115, 463)(116, 464)(117, 465)(118, 442)(119, 443)(120, 444)(121, 469)(122, 470)(123, 471)(124, 448)(125, 449)(126, 450)(127, 475)(128, 476)(129, 477)(130, 454)(131, 455)(132, 456)(133, 481)(134, 482)(135, 483)(136, 460)(137, 461)(138, 462)(139, 487)(140, 488)(141, 489)(142, 466)(143, 467)(144, 468)(145, 493)(146, 494)(147, 495)(148, 472)(149, 473)(150, 474)(151, 499)(152, 500)(153, 501)(154, 478)(155, 479)(156, 480)(157, 498)(158, 503)(159, 502)(160, 484)(161, 485)(162, 486)(163, 492)(164, 504)(165, 496)(166, 490)(167, 491)(168, 497)(169, 505)(170, 506)(171, 507)(172, 508)(173, 509)(174, 510)(175, 511)(176, 512)(177, 513)(178, 514)(179, 515)(180, 516)(181, 517)(182, 518)(183, 519)(184, 520)(185, 521)(186, 522)(187, 523)(188, 524)(189, 525)(190, 526)(191, 527)(192, 528)(193, 529)(194, 530)(195, 531)(196, 532)(197, 533)(198, 534)(199, 535)(200, 536)(201, 537)(202, 538)(203, 539)(204, 540)(205, 541)(206, 542)(207, 543)(208, 544)(209, 545)(210, 546)(211, 547)(212, 548)(213, 549)(214, 550)(215, 551)(216, 552)(217, 553)(218, 554)(219, 555)(220, 556)(221, 557)(222, 558)(223, 559)(224, 560)(225, 561)(226, 562)(227, 563)(228, 564)(229, 565)(230, 566)(231, 567)(232, 568)(233, 569)(234, 570)(235, 571)(236, 572)(237, 573)(238, 574)(239, 575)(240, 576)(241, 577)(242, 578)(243, 579)(244, 580)(245, 581)(246, 582)(247, 583)(248, 584)(249, 585)(250, 586)(251, 587)(252, 588)(253, 589)(254, 590)(255, 591)(256, 592)(257, 593)(258, 594)(259, 595)(260, 596)(261, 597)(262, 598)(263, 599)(264, 600)(265, 601)(266, 602)(267, 603)(268, 604)(269, 605)(270, 606)(271, 607)(272, 608)(273, 609)(274, 610)(275, 611)(276, 612)(277, 613)(278, 614)(279, 615)(280, 616)(281, 617)(282, 618)(283, 619)(284, 620)(285, 621)(286, 622)(287, 623)(288, 624)(289, 625)(290, 626)(291, 627)(292, 628)(293, 629)(294, 630)(295, 631)(296, 632)(297, 633)(298, 634)(299, 635)(300, 636)(301, 637)(302, 638)(303, 639)(304, 640)(305, 641)(306, 642)(307, 643)(308, 644)(309, 645)(310, 646)(311, 647)(312, 648)(313, 649)(314, 650)(315, 651)(316, 652)(317, 653)(318, 654)(319, 655)(320, 656)(321, 657)(322, 658)(323, 659)(324, 660)(325, 661)(326, 662)(327, 663)(328, 664)(329, 665)(330, 666)(331, 667)(332, 668)(333, 669)(334, 670)(335, 671)(336, 672)
	local type(s) :: { ( 12, 168 ), ( 12, 168, 12, 168 ) }
Outer automorphisms :: reflexible
Dual of E28.2878
Graph:: simple bipartite
	v = 252 e = 336 f = 30
	degree seq :: [ 2^168, 4^84 ]

E28.2880 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 84})
Quotient :: dipole
Aut^+ = C3 x D56 (small group id <168, 26>)
Aut   = S3 x D56 (small group id <336, 149>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3)^2, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1, (Y3 * Y1^-3)^2, Y1^-3 * Y3 * Y1^11 * Y3 * Y1^-14 ]
Map::
	R = (1, 169, 2, 170, 5, 173, 11, 179, 23, 191, 39, 207, 53, 221, 65, 233, 77, 245, 89, 257, 101, 269, 113, 281, 125, 293, 137, 305, 149, 317, 161, 329, 156, 324, 144, 312, 133, 301, 120, 288, 108, 276, 97, 265, 84, 252, 72, 240, 61, 229, 48, 216, 32, 200, 45, 213, 34, 202, 17, 185, 29, 197, 43, 211, 56, 224, 68, 236, 80, 248, 92, 260, 104, 272, 116, 284, 128, 296, 140, 308, 152, 320, 164, 332, 168, 336, 167, 335, 157, 325, 145, 313, 132, 300, 121, 289, 109, 277, 96, 264, 85, 253, 73, 241, 60, 228, 49, 217, 33, 201, 16, 184, 28, 196, 42, 210, 35, 203, 46, 214, 58, 226, 70, 238, 82, 250, 94, 262, 106, 274, 118, 286, 130, 298, 142, 310, 154, 322, 166, 334, 160, 328, 148, 316, 136, 304, 124, 292, 112, 280, 100, 268, 88, 256, 76, 244, 64, 232, 52, 220, 38, 206, 22, 190, 10, 178, 4, 172)(3, 171, 7, 175, 15, 183, 31, 199, 47, 215, 59, 227, 71, 239, 83, 251, 95, 263, 107, 275, 119, 287, 131, 299, 143, 311, 155, 323, 162, 330, 153, 321, 139, 307, 126, 294, 117, 285, 103, 271, 90, 258, 81, 249, 67, 235, 54, 222, 44, 212, 26, 194, 12, 180, 25, 193, 20, 188, 9, 177, 19, 187, 36, 204, 50, 218, 62, 230, 74, 242, 86, 254, 98, 266, 110, 278, 122, 290, 134, 302, 146, 314, 158, 326, 163, 331, 150, 318, 141, 309, 127, 295, 114, 282, 105, 273, 91, 259, 78, 246, 69, 237, 55, 223, 40, 208, 30, 198, 14, 182, 6, 174, 13, 181, 27, 195, 21, 189, 37, 205, 51, 219, 63, 231, 75, 243, 87, 255, 99, 267, 111, 279, 123, 291, 135, 303, 147, 315, 159, 327, 165, 333, 151, 319, 138, 306, 129, 297, 115, 283, 102, 270, 93, 261, 79, 247, 66, 234, 57, 225, 41, 209, 24, 192, 18, 186, 8, 176)(337, 505)(338, 506)(339, 507)(340, 508)(341, 509)(342, 510)(343, 511)(344, 512)(345, 513)(346, 514)(347, 515)(348, 516)(349, 517)(350, 518)(351, 519)(352, 520)(353, 521)(354, 522)(355, 523)(356, 524)(357, 525)(358, 526)(359, 527)(360, 528)(361, 529)(362, 530)(363, 531)(364, 532)(365, 533)(366, 534)(367, 535)(368, 536)(369, 537)(370, 538)(371, 539)(372, 540)(373, 541)(374, 542)(375, 543)(376, 544)(377, 545)(378, 546)(379, 547)(380, 548)(381, 549)(382, 550)(383, 551)(384, 552)(385, 553)(386, 554)(387, 555)(388, 556)(389, 557)(390, 558)(391, 559)(392, 560)(393, 561)(394, 562)(395, 563)(396, 564)(397, 565)(398, 566)(399, 567)(400, 568)(401, 569)(402, 570)(403, 571)(404, 572)(405, 573)(406, 574)(407, 575)(408, 576)(409, 577)(410, 578)(411, 579)(412, 580)(413, 581)(414, 582)(415, 583)(416, 584)(417, 585)(418, 586)(419, 587)(420, 588)(421, 589)(422, 590)(423, 591)(424, 592)(425, 593)(426, 594)(427, 595)(428, 596)(429, 597)(430, 598)(431, 599)(432, 600)(433, 601)(434, 602)(435, 603)(436, 604)(437, 605)(438, 606)(439, 607)(440, 608)(441, 609)(442, 610)(443, 611)(444, 612)(445, 613)(446, 614)(447, 615)(448, 616)(449, 617)(450, 618)(451, 619)(452, 620)(453, 621)(454, 622)(455, 623)(456, 624)(457, 625)(458, 626)(459, 627)(460, 628)(461, 629)(462, 630)(463, 631)(464, 632)(465, 633)(466, 634)(467, 635)(468, 636)(469, 637)(470, 638)(471, 639)(472, 640)(473, 641)(474, 642)(475, 643)(476, 644)(477, 645)(478, 646)(479, 647)(480, 648)(481, 649)(482, 650)(483, 651)(484, 652)(485, 653)(486, 654)(487, 655)(488, 656)(489, 657)(490, 658)(491, 659)(492, 660)(493, 661)(494, 662)(495, 663)(496, 664)(497, 665)(498, 666)(499, 667)(500, 668)(501, 669)(502, 670)(503, 671)(504, 672)
	L = (1, 339)(2, 342)(3, 337)(4, 345)(5, 348)(6, 338)(7, 352)(8, 353)(9, 340)(10, 357)(11, 360)(12, 341)(13, 364)(14, 365)(15, 368)(16, 343)(17, 344)(18, 371)(19, 369)(20, 370)(21, 346)(22, 367)(23, 376)(24, 347)(25, 378)(26, 379)(27, 381)(28, 349)(29, 350)(30, 382)(31, 358)(32, 351)(33, 355)(34, 356)(35, 354)(36, 384)(37, 385)(38, 386)(39, 390)(40, 359)(41, 392)(42, 361)(43, 362)(44, 394)(45, 363)(46, 366)(47, 396)(48, 372)(49, 373)(50, 374)(51, 397)(52, 399)(53, 402)(54, 375)(55, 404)(56, 377)(57, 406)(58, 380)(59, 408)(60, 383)(61, 387)(62, 409)(63, 388)(64, 407)(65, 414)(66, 389)(67, 416)(68, 391)(69, 418)(70, 393)(71, 400)(72, 395)(73, 398)(74, 420)(75, 421)(76, 422)(77, 426)(78, 401)(79, 428)(80, 403)(81, 430)(82, 405)(83, 432)(84, 410)(85, 411)(86, 412)(87, 433)(88, 435)(89, 438)(90, 413)(91, 440)(92, 415)(93, 442)(94, 417)(95, 444)(96, 419)(97, 423)(98, 445)(99, 424)(100, 443)(101, 450)(102, 425)(103, 452)(104, 427)(105, 454)(106, 429)(107, 436)(108, 431)(109, 434)(110, 456)(111, 457)(112, 458)(113, 462)(114, 437)(115, 464)(116, 439)(117, 466)(118, 441)(119, 468)(120, 446)(121, 447)(122, 448)(123, 469)(124, 471)(125, 474)(126, 449)(127, 476)(128, 451)(129, 478)(130, 453)(131, 480)(132, 455)(133, 459)(134, 481)(135, 460)(136, 479)(137, 486)(138, 461)(139, 488)(140, 463)(141, 490)(142, 465)(143, 472)(144, 467)(145, 470)(146, 492)(147, 493)(148, 494)(149, 498)(150, 473)(151, 500)(152, 475)(153, 502)(154, 477)(155, 503)(156, 482)(157, 483)(158, 484)(159, 497)(160, 501)(161, 495)(162, 485)(163, 504)(164, 487)(165, 496)(166, 489)(167, 491)(168, 499)(169, 505)(170, 506)(171, 507)(172, 508)(173, 509)(174, 510)(175, 511)(176, 512)(177, 513)(178, 514)(179, 515)(180, 516)(181, 517)(182, 518)(183, 519)(184, 520)(185, 521)(186, 522)(187, 523)(188, 524)(189, 525)(190, 526)(191, 527)(192, 528)(193, 529)(194, 530)(195, 531)(196, 532)(197, 533)(198, 534)(199, 535)(200, 536)(201, 537)(202, 538)(203, 539)(204, 540)(205, 541)(206, 542)(207, 543)(208, 544)(209, 545)(210, 546)(211, 547)(212, 548)(213, 549)(214, 550)(215, 551)(216, 552)(217, 553)(218, 554)(219, 555)(220, 556)(221, 557)(222, 558)(223, 559)(224, 560)(225, 561)(226, 562)(227, 563)(228, 564)(229, 565)(230, 566)(231, 567)(232, 568)(233, 569)(234, 570)(235, 571)(236, 572)(237, 573)(238, 574)(239, 575)(240, 576)(241, 577)(242, 578)(243, 579)(244, 580)(245, 581)(246, 582)(247, 583)(248, 584)(249, 585)(250, 586)(251, 587)(252, 588)(253, 589)(254, 590)(255, 591)(256, 592)(257, 593)(258, 594)(259, 595)(260, 596)(261, 597)(262, 598)(263, 599)(264, 600)(265, 601)(266, 602)(267, 603)(268, 604)(269, 605)(270, 606)(271, 607)(272, 608)(273, 609)(274, 610)(275, 611)(276, 612)(277, 613)(278, 614)(279, 615)(280, 616)(281, 617)(282, 618)(283, 619)(284, 620)(285, 621)(286, 622)(287, 623)(288, 624)(289, 625)(290, 626)(291, 627)(292, 628)(293, 629)(294, 630)(295, 631)(296, 632)(297, 633)(298, 634)(299, 635)(300, 636)(301, 637)(302, 638)(303, 639)(304, 640)(305, 641)(306, 642)(307, 643)(308, 644)(309, 645)(310, 646)(311, 647)(312, 648)(313, 649)(314, 650)(315, 651)(316, 652)(317, 653)(318, 654)(319, 655)(320, 656)(321, 657)(322, 658)(323, 659)(324, 660)(325, 661)(326, 662)(327, 663)(328, 664)(329, 665)(330, 666)(331, 667)(332, 668)(333, 669)(334, 670)(335, 671)(336, 672)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2877
Graph:: simple bipartite
	v = 170 e = 336 f = 112
	degree seq :: [ 2^168, 168^2 ]

E28.2881 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 84})
Quotient :: dipole
Aut^+ = C3 x D56 (small group id <168, 26>)
Aut   = S3 x D56 (small group id <336, 149>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2^3 * Y1)^2, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y3 * Y2^-1)^6, Y2^-25 * Y1 * Y2^2 * Y1 * Y2^-1, (Y2^-1 * R * Y2^-13)^2 ]
Map::
	R = (1, 169, 2, 170)(3, 171, 7, 175)(4, 172, 9, 177)(5, 173, 11, 179)(6, 174, 13, 181)(8, 176, 17, 185)(10, 178, 21, 189)(12, 180, 25, 193)(14, 182, 29, 197)(15, 183, 23, 191)(16, 184, 27, 195)(18, 186, 30, 198)(19, 187, 24, 192)(20, 188, 28, 196)(22, 190, 26, 194)(31, 199, 41, 209)(32, 200, 45, 213)(33, 201, 39, 207)(34, 202, 44, 212)(35, 203, 47, 215)(36, 204, 42, 210)(37, 205, 40, 208)(38, 206, 50, 218)(43, 211, 53, 221)(46, 214, 56, 224)(48, 216, 57, 225)(49, 217, 60, 228)(51, 219, 54, 222)(52, 220, 63, 231)(55, 223, 66, 234)(58, 226, 69, 237)(59, 227, 68, 236)(61, 229, 70, 238)(62, 230, 65, 233)(64, 232, 67, 235)(71, 239, 81, 249)(72, 240, 80, 248)(73, 241, 83, 251)(74, 242, 78, 246)(75, 243, 77, 245)(76, 244, 86, 254)(79, 247, 89, 257)(82, 250, 92, 260)(84, 252, 93, 261)(85, 253, 96, 264)(87, 255, 90, 258)(88, 256, 99, 267)(91, 259, 102, 270)(94, 262, 105, 273)(95, 263, 104, 272)(97, 265, 106, 274)(98, 266, 101, 269)(100, 268, 103, 271)(107, 275, 117, 285)(108, 276, 116, 284)(109, 277, 119, 287)(110, 278, 114, 282)(111, 279, 113, 281)(112, 280, 122, 290)(115, 283, 125, 293)(118, 286, 128, 296)(120, 288, 129, 297)(121, 289, 132, 300)(123, 291, 126, 294)(124, 292, 135, 303)(127, 295, 138, 306)(130, 298, 141, 309)(131, 299, 140, 308)(133, 301, 142, 310)(134, 302, 137, 305)(136, 304, 139, 307)(143, 311, 153, 321)(144, 312, 152, 320)(145, 313, 155, 323)(146, 314, 150, 318)(147, 315, 149, 317)(148, 316, 158, 326)(151, 319, 161, 329)(154, 322, 164, 332)(156, 324, 165, 333)(157, 325, 163, 331)(159, 327, 162, 330)(160, 328, 166, 334)(167, 335, 168, 336)(337, 505, 339, 507, 344, 512, 354, 522, 371, 539, 385, 553, 397, 565, 409, 577, 421, 589, 433, 601, 445, 613, 457, 625, 469, 637, 481, 649, 493, 661, 498, 666, 486, 654, 474, 642, 462, 630, 450, 618, 438, 606, 426, 594, 414, 582, 402, 570, 390, 558, 378, 546, 361, 529, 377, 545, 364, 532, 349, 517, 363, 531, 380, 548, 392, 560, 404, 572, 416, 584, 428, 596, 440, 608, 452, 620, 464, 632, 476, 644, 488, 656, 500, 668, 504, 672, 497, 665, 485, 653, 473, 641, 461, 629, 449, 617, 437, 605, 425, 593, 413, 581, 401, 569, 389, 557, 376, 544, 360, 528, 347, 515, 359, 527, 375, 543, 365, 533, 381, 549, 393, 561, 405, 573, 417, 585, 429, 597, 441, 609, 453, 621, 465, 633, 477, 645, 489, 657, 501, 669, 496, 664, 484, 652, 472, 640, 460, 628, 448, 616, 436, 604, 424, 592, 412, 580, 400, 568, 388, 556, 374, 542, 358, 526, 346, 514, 340, 508)(338, 506, 341, 509, 348, 516, 362, 530, 379, 547, 391, 559, 403, 571, 415, 583, 427, 595, 439, 607, 451, 619, 463, 631, 475, 643, 487, 655, 499, 667, 492, 660, 480, 648, 468, 636, 456, 624, 444, 612, 432, 600, 420, 588, 408, 576, 396, 564, 384, 552, 370, 538, 353, 521, 369, 537, 356, 524, 345, 513, 355, 523, 372, 540, 386, 554, 398, 566, 410, 578, 422, 590, 434, 602, 446, 614, 458, 626, 470, 638, 482, 650, 494, 662, 503, 671, 491, 659, 479, 647, 467, 635, 455, 623, 443, 611, 431, 599, 419, 587, 407, 575, 395, 563, 383, 551, 368, 536, 352, 520, 343, 511, 351, 519, 367, 535, 357, 525, 373, 541, 387, 555, 399, 567, 411, 579, 423, 591, 435, 603, 447, 615, 459, 627, 471, 639, 483, 651, 495, 663, 502, 670, 490, 658, 478, 646, 466, 634, 454, 622, 442, 610, 430, 598, 418, 586, 406, 574, 394, 562, 382, 550, 366, 534, 350, 518, 342, 510)
	L = (1, 338)(2, 337)(3, 343)(4, 345)(5, 347)(6, 349)(7, 339)(8, 353)(9, 340)(10, 357)(11, 341)(12, 361)(13, 342)(14, 365)(15, 359)(16, 363)(17, 344)(18, 366)(19, 360)(20, 364)(21, 346)(22, 362)(23, 351)(24, 355)(25, 348)(26, 358)(27, 352)(28, 356)(29, 350)(30, 354)(31, 377)(32, 381)(33, 375)(34, 380)(35, 383)(36, 378)(37, 376)(38, 386)(39, 369)(40, 373)(41, 367)(42, 372)(43, 389)(44, 370)(45, 368)(46, 392)(47, 371)(48, 393)(49, 396)(50, 374)(51, 390)(52, 399)(53, 379)(54, 387)(55, 402)(56, 382)(57, 384)(58, 405)(59, 404)(60, 385)(61, 406)(62, 401)(63, 388)(64, 403)(65, 398)(66, 391)(67, 400)(68, 395)(69, 394)(70, 397)(71, 417)(72, 416)(73, 419)(74, 414)(75, 413)(76, 422)(77, 411)(78, 410)(79, 425)(80, 408)(81, 407)(82, 428)(83, 409)(84, 429)(85, 432)(86, 412)(87, 426)(88, 435)(89, 415)(90, 423)(91, 438)(92, 418)(93, 420)(94, 441)(95, 440)(96, 421)(97, 442)(98, 437)(99, 424)(100, 439)(101, 434)(102, 427)(103, 436)(104, 431)(105, 430)(106, 433)(107, 453)(108, 452)(109, 455)(110, 450)(111, 449)(112, 458)(113, 447)(114, 446)(115, 461)(116, 444)(117, 443)(118, 464)(119, 445)(120, 465)(121, 468)(122, 448)(123, 462)(124, 471)(125, 451)(126, 459)(127, 474)(128, 454)(129, 456)(130, 477)(131, 476)(132, 457)(133, 478)(134, 473)(135, 460)(136, 475)(137, 470)(138, 463)(139, 472)(140, 467)(141, 466)(142, 469)(143, 489)(144, 488)(145, 491)(146, 486)(147, 485)(148, 494)(149, 483)(150, 482)(151, 497)(152, 480)(153, 479)(154, 500)(155, 481)(156, 501)(157, 499)(158, 484)(159, 498)(160, 502)(161, 487)(162, 495)(163, 493)(164, 490)(165, 492)(166, 496)(167, 504)(168, 503)(169, 505)(170, 506)(171, 507)(172, 508)(173, 509)(174, 510)(175, 511)(176, 512)(177, 513)(178, 514)(179, 515)(180, 516)(181, 517)(182, 518)(183, 519)(184, 520)(185, 521)(186, 522)(187, 523)(188, 524)(189, 525)(190, 526)(191, 527)(192, 528)(193, 529)(194, 530)(195, 531)(196, 532)(197, 533)(198, 534)(199, 535)(200, 536)(201, 537)(202, 538)(203, 539)(204, 540)(205, 541)(206, 542)(207, 543)(208, 544)(209, 545)(210, 546)(211, 547)(212, 548)(213, 549)(214, 550)(215, 551)(216, 552)(217, 553)(218, 554)(219, 555)(220, 556)(221, 557)(222, 558)(223, 559)(224, 560)(225, 561)(226, 562)(227, 563)(228, 564)(229, 565)(230, 566)(231, 567)(232, 568)(233, 569)(234, 570)(235, 571)(236, 572)(237, 573)(238, 574)(239, 575)(240, 576)(241, 577)(242, 578)(243, 579)(244, 580)(245, 581)(246, 582)(247, 583)(248, 584)(249, 585)(250, 586)(251, 587)(252, 588)(253, 589)(254, 590)(255, 591)(256, 592)(257, 593)(258, 594)(259, 595)(260, 596)(261, 597)(262, 598)(263, 599)(264, 600)(265, 601)(266, 602)(267, 603)(268, 604)(269, 605)(270, 606)(271, 607)(272, 608)(273, 609)(274, 610)(275, 611)(276, 612)(277, 613)(278, 614)(279, 615)(280, 616)(281, 617)(282, 618)(283, 619)(284, 620)(285, 621)(286, 622)(287, 623)(288, 624)(289, 625)(290, 626)(291, 627)(292, 628)(293, 629)(294, 630)(295, 631)(296, 632)(297, 633)(298, 634)(299, 635)(300, 636)(301, 637)(302, 638)(303, 639)(304, 640)(305, 641)(306, 642)(307, 643)(308, 644)(309, 645)(310, 646)(311, 647)(312, 648)(313, 649)(314, 650)(315, 651)(316, 652)(317, 653)(318, 654)(319, 655)(320, 656)(321, 657)(322, 658)(323, 659)(324, 660)(325, 661)(326, 662)(327, 663)(328, 664)(329, 665)(330, 666)(331, 667)(332, 668)(333, 669)(334, 670)(335, 671)(336, 672)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2882
Graph:: bipartite
	v = 86 e = 336 f = 196
	degree seq :: [ 4^84, 168^2 ]

E28.2882 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 84})
Quotient :: dipole
Aut^+ = C3 x D56 (small group id <168, 26>)
Aut   = S3 x D56 (small group id <336, 149>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y1^-3 * Y3^-1 * Y1, Y3^-1 * Y1 * Y3^-1 * Y1^3, (R * Y2 * Y3^-1)^2, (Y3^2 * Y1^-1)^2, Y1 * Y3^-28 * Y1, (Y3 * Y2^-1)^84 ]
Map::
	R = (1, 169, 2, 170, 6, 174, 16, 184, 13, 181, 4, 172)(3, 171, 9, 177, 17, 185, 8, 176, 21, 189, 11, 179)(5, 173, 14, 182, 18, 186, 12, 180, 20, 188, 7, 175)(10, 178, 24, 192, 29, 197, 23, 191, 33, 201, 22, 190)(15, 183, 26, 194, 30, 198, 19, 187, 31, 199, 27, 195)(25, 193, 34, 202, 41, 209, 36, 204, 45, 213, 35, 203)(28, 196, 32, 200, 42, 210, 39, 207, 43, 211, 38, 206)(37, 205, 47, 215, 53, 221, 46, 214, 57, 225, 48, 216)(40, 208, 51, 219, 54, 222, 50, 218, 55, 223, 44, 212)(49, 217, 60, 228, 65, 233, 59, 227, 69, 237, 58, 226)(52, 220, 62, 230, 66, 234, 56, 224, 67, 235, 63, 231)(61, 229, 70, 238, 77, 245, 72, 240, 81, 249, 71, 239)(64, 232, 68, 236, 78, 246, 75, 243, 79, 247, 74, 242)(73, 241, 83, 251, 89, 257, 82, 250, 93, 261, 84, 252)(76, 244, 87, 255, 90, 258, 86, 254, 91, 259, 80, 248)(85, 253, 96, 264, 101, 269, 95, 263, 105, 273, 94, 262)(88, 256, 98, 266, 102, 270, 92, 260, 103, 271, 99, 267)(97, 265, 106, 274, 113, 281, 108, 276, 117, 285, 107, 275)(100, 268, 104, 272, 114, 282, 111, 279, 115, 283, 110, 278)(109, 277, 119, 287, 125, 293, 118, 286, 129, 297, 120, 288)(112, 280, 123, 291, 126, 294, 122, 290, 127, 295, 116, 284)(121, 289, 132, 300, 137, 305, 131, 299, 141, 309, 130, 298)(124, 292, 134, 302, 138, 306, 128, 296, 139, 307, 135, 303)(133, 301, 142, 310, 149, 317, 144, 312, 153, 321, 143, 311)(136, 304, 140, 308, 150, 318, 147, 315, 151, 319, 146, 314)(145, 313, 155, 323, 161, 329, 154, 322, 165, 333, 156, 324)(148, 316, 159, 327, 162, 330, 158, 326, 163, 331, 152, 320)(157, 325, 164, 332, 168, 336, 167, 335, 160, 328, 166, 334)(337, 505)(338, 506)(339, 507)(340, 508)(341, 509)(342, 510)(343, 511)(344, 512)(345, 513)(346, 514)(347, 515)(348, 516)(349, 517)(350, 518)(351, 519)(352, 520)(353, 521)(354, 522)(355, 523)(356, 524)(357, 525)(358, 526)(359, 527)(360, 528)(361, 529)(362, 530)(363, 531)(364, 532)(365, 533)(366, 534)(367, 535)(368, 536)(369, 537)(370, 538)(371, 539)(372, 540)(373, 541)(374, 542)(375, 543)(376, 544)(377, 545)(378, 546)(379, 547)(380, 548)(381, 549)(382, 550)(383, 551)(384, 552)(385, 553)(386, 554)(387, 555)(388, 556)(389, 557)(390, 558)(391, 559)(392, 560)(393, 561)(394, 562)(395, 563)(396, 564)(397, 565)(398, 566)(399, 567)(400, 568)(401, 569)(402, 570)(403, 571)(404, 572)(405, 573)(406, 574)(407, 575)(408, 576)(409, 577)(410, 578)(411, 579)(412, 580)(413, 581)(414, 582)(415, 583)(416, 584)(417, 585)(418, 586)(419, 587)(420, 588)(421, 589)(422, 590)(423, 591)(424, 592)(425, 593)(426, 594)(427, 595)(428, 596)(429, 597)(430, 598)(431, 599)(432, 600)(433, 601)(434, 602)(435, 603)(436, 604)(437, 605)(438, 606)(439, 607)(440, 608)(441, 609)(442, 610)(443, 611)(444, 612)(445, 613)(446, 614)(447, 615)(448, 616)(449, 617)(450, 618)(451, 619)(452, 620)(453, 621)(454, 622)(455, 623)(456, 624)(457, 625)(458, 626)(459, 627)(460, 628)(461, 629)(462, 630)(463, 631)(464, 632)(465, 633)(466, 634)(467, 635)(468, 636)(469, 637)(470, 638)(471, 639)(472, 640)(473, 641)(474, 642)(475, 643)(476, 644)(477, 645)(478, 646)(479, 647)(480, 648)(481, 649)(482, 650)(483, 651)(484, 652)(485, 653)(486, 654)(487, 655)(488, 656)(489, 657)(490, 658)(491, 659)(492, 660)(493, 661)(494, 662)(495, 663)(496, 664)(497, 665)(498, 666)(499, 667)(500, 668)(501, 669)(502, 670)(503, 671)(504, 672)
	L = (1, 339)(2, 343)(3, 346)(4, 348)(5, 337)(6, 353)(7, 355)(8, 338)(9, 340)(10, 361)(11, 352)(12, 362)(13, 357)(14, 363)(15, 341)(16, 350)(17, 365)(18, 342)(19, 368)(20, 349)(21, 369)(22, 344)(23, 345)(24, 347)(25, 373)(26, 374)(27, 375)(28, 351)(29, 377)(30, 354)(31, 356)(32, 380)(33, 381)(34, 358)(35, 359)(36, 360)(37, 385)(38, 386)(39, 387)(40, 364)(41, 389)(42, 366)(43, 367)(44, 392)(45, 393)(46, 370)(47, 371)(48, 372)(49, 397)(50, 398)(51, 399)(52, 376)(53, 401)(54, 378)(55, 379)(56, 404)(57, 405)(58, 382)(59, 383)(60, 384)(61, 409)(62, 410)(63, 411)(64, 388)(65, 413)(66, 390)(67, 391)(68, 416)(69, 417)(70, 394)(71, 395)(72, 396)(73, 421)(74, 422)(75, 423)(76, 400)(77, 425)(78, 402)(79, 403)(80, 428)(81, 429)(82, 406)(83, 407)(84, 408)(85, 433)(86, 434)(87, 435)(88, 412)(89, 437)(90, 414)(91, 415)(92, 440)(93, 441)(94, 418)(95, 419)(96, 420)(97, 445)(98, 446)(99, 447)(100, 424)(101, 449)(102, 426)(103, 427)(104, 452)(105, 453)(106, 430)(107, 431)(108, 432)(109, 457)(110, 458)(111, 459)(112, 436)(113, 461)(114, 438)(115, 439)(116, 464)(117, 465)(118, 442)(119, 443)(120, 444)(121, 469)(122, 470)(123, 471)(124, 448)(125, 473)(126, 450)(127, 451)(128, 476)(129, 477)(130, 454)(131, 455)(132, 456)(133, 481)(134, 482)(135, 483)(136, 460)(137, 485)(138, 462)(139, 463)(140, 488)(141, 489)(142, 466)(143, 467)(144, 468)(145, 493)(146, 494)(147, 495)(148, 472)(149, 497)(150, 474)(151, 475)(152, 500)(153, 501)(154, 478)(155, 479)(156, 480)(157, 498)(158, 502)(159, 503)(160, 484)(161, 504)(162, 486)(163, 487)(164, 492)(165, 496)(166, 490)(167, 491)(168, 499)(169, 505)(170, 506)(171, 507)(172, 508)(173, 509)(174, 510)(175, 511)(176, 512)(177, 513)(178, 514)(179, 515)(180, 516)(181, 517)(182, 518)(183, 519)(184, 520)(185, 521)(186, 522)(187, 523)(188, 524)(189, 525)(190, 526)(191, 527)(192, 528)(193, 529)(194, 530)(195, 531)(196, 532)(197, 533)(198, 534)(199, 535)(200, 536)(201, 537)(202, 538)(203, 539)(204, 540)(205, 541)(206, 542)(207, 543)(208, 544)(209, 545)(210, 546)(211, 547)(212, 548)(213, 549)(214, 550)(215, 551)(216, 552)(217, 553)(218, 554)(219, 555)(220, 556)(221, 557)(222, 558)(223, 559)(224, 560)(225, 561)(226, 562)(227, 563)(228, 564)(229, 565)(230, 566)(231, 567)(232, 568)(233, 569)(234, 570)(235, 571)(236, 572)(237, 573)(238, 574)(239, 575)(240, 576)(241, 577)(242, 578)(243, 579)(244, 580)(245, 581)(246, 582)(247, 583)(248, 584)(249, 585)(250, 586)(251, 587)(252, 588)(253, 589)(254, 590)(255, 591)(256, 592)(257, 593)(258, 594)(259, 595)(260, 596)(261, 597)(262, 598)(263, 599)(264, 600)(265, 601)(266, 602)(267, 603)(268, 604)(269, 605)(270, 606)(271, 607)(272, 608)(273, 609)(274, 610)(275, 611)(276, 612)(277, 613)(278, 614)(279, 615)(280, 616)(281, 617)(282, 618)(283, 619)(284, 620)(285, 621)(286, 622)(287, 623)(288, 624)(289, 625)(290, 626)(291, 627)(292, 628)(293, 629)(294, 630)(295, 631)(296, 632)(297, 633)(298, 634)(299, 635)(300, 636)(301, 637)(302, 638)(303, 639)(304, 640)(305, 641)(306, 642)(307, 643)(308, 644)(309, 645)(310, 646)(311, 647)(312, 648)(313, 649)(314, 650)(315, 651)(316, 652)(317, 653)(318, 654)(319, 655)(320, 656)(321, 657)(322, 658)(323, 659)(324, 660)(325, 661)(326, 662)(327, 663)(328, 664)(329, 665)(330, 666)(331, 667)(332, 668)(333, 669)(334, 670)(335, 671)(336, 672)
	local type(s) :: { ( 4, 168 ), ( 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168 ) }
Outer automorphisms :: reflexible
Dual of E28.2881
Graph:: simple bipartite
	v = 196 e = 336 f = 86
	degree seq :: [ 2^168, 12^28 ]

E28.2883 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 3, 57})
Quotient :: edge
Aut^+ = C3 x (C19 : C3) (small group id <171, 4>)
Aut   = C3 x (C19 : C3) (small group id <171, 4>)
|r| :: 1
Presentation :: [ X1^3, (X2 * X1)^3, (X1 * X2)^3, (X1^-1 * X2)^3, (X2^-1 * X1)^3, (X2 * X1)^3, X2^-1 * X1 * X2^7 * X1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 4)(3, 8, 10)(5, 13, 14)(6, 16, 18)(7, 19, 20)(9, 24, 26)(11, 28, 30)(12, 31, 22)(15, 35, 36)(17, 39, 41)(21, 45, 46)(23, 49, 44)(25, 53, 55)(27, 57, 51)(29, 60, 62)(32, 64, 65)(33, 67, 42)(34, 59, 70)(37, 73, 74)(38, 76, 48)(40, 79, 81)(43, 84, 63)(47, 89, 90)(50, 93, 88)(52, 94, 86)(54, 98, 100)(56, 102, 96)(58, 104, 105)(61, 108, 110)(66, 114, 115)(68, 117, 82)(69, 107, 119)(71, 120, 83)(72, 99, 123)(75, 125, 101)(77, 126, 113)(78, 127, 92)(80, 130, 131)(85, 135, 111)(87, 137, 112)(91, 141, 132)(95, 143, 139)(97, 144, 136)(103, 148, 149)(106, 151, 152)(109, 155, 156)(116, 161, 157)(118, 154, 162)(121, 163, 133)(122, 153, 146)(124, 147, 134)(128, 166, 160)(129, 167, 142)(138, 170, 158)(140, 168, 159)(145, 164, 171)(150, 169, 165)(172, 174, 180, 196, 225, 270, 230, 199, 191, 215, 257, 307, 324, 278, 231, 255, 217, 259, 310, 342, 325, 279, 306, 308, 261, 302, 338, 337, 326, 332, 341, 339, 303, 252, 298, 297, 285, 322, 340, 304, 253, 212, 247, 235, 275, 319, 305, 254, 213, 189, 202, 228, 273, 246, 208, 186, 176)(173, 177, 188, 211, 251, 221, 194, 179, 193, 219, 263, 313, 266, 223, 195, 222, 236, 284, 331, 316, 268, 224, 267, 276, 286, 327, 333, 317, 269, 296, 320, 323, 328, 281, 290, 294, 244, 295, 336, 329, 282, 233, 241, 206, 242, 292, 330, 283, 234, 201, 184, 204, 239, 262, 218, 192, 178)(175, 182, 200, 232, 280, 248, 209, 187, 185, 205, 240, 289, 299, 249, 210, 238, 207, 243, 293, 335, 300, 250, 288, 291, 245, 271, 315, 314, 301, 312, 334, 318, 272, 226, 265, 264, 260, 311, 321, 274, 227, 197, 220, 216, 258, 309, 277, 229, 198, 181, 190, 214, 256, 287, 237, 203, 183)
	L = (1, 172)(2, 173)(3, 174)(4, 175)(5, 176)(6, 177)(7, 178)(8, 179)(9, 180)(10, 181)(11, 182)(12, 183)(13, 184)(14, 185)(15, 186)(16, 187)(17, 188)(18, 189)(19, 190)(20, 191)(21, 192)(22, 193)(23, 194)(24, 195)(25, 196)(26, 197)(27, 198)(28, 199)(29, 200)(30, 201)(31, 202)(32, 203)(33, 204)(34, 205)(35, 206)(36, 207)(37, 208)(38, 209)(39, 210)(40, 211)(41, 212)(42, 213)(43, 214)(44, 215)(45, 216)(46, 217)(47, 218)(48, 219)(49, 220)(50, 221)(51, 222)(52, 223)(53, 224)(54, 225)(55, 226)(56, 227)(57, 228)(58, 229)(59, 230)(60, 231)(61, 232)(62, 233)(63, 234)(64, 235)(65, 236)(66, 237)(67, 238)(68, 239)(69, 240)(70, 241)(71, 242)(72, 243)(73, 244)(74, 245)(75, 246)(76, 247)(77, 248)(78, 249)(79, 250)(80, 251)(81, 252)(82, 253)(83, 254)(84, 255)(85, 256)(86, 257)(87, 258)(88, 259)(89, 260)(90, 261)(91, 262)(92, 263)(93, 264)(94, 265)(95, 266)(96, 267)(97, 268)(98, 269)(99, 270)(100, 271)(101, 272)(102, 273)(103, 274)(104, 275)(105, 276)(106, 277)(107, 278)(108, 279)(109, 280)(110, 281)(111, 282)(112, 283)(113, 284)(114, 285)(115, 286)(116, 287)(117, 288)(118, 289)(119, 290)(120, 291)(121, 292)(122, 293)(123, 294)(124, 295)(125, 296)(126, 297)(127, 298)(128, 299)(129, 300)(130, 301)(131, 302)(132, 303)(133, 304)(134, 305)(135, 306)(136, 307)(137, 308)(138, 309)(139, 310)(140, 311)(141, 312)(142, 313)(143, 314)(144, 315)(145, 316)(146, 317)(147, 318)(148, 319)(149, 320)(150, 321)(151, 322)(152, 323)(153, 324)(154, 325)(155, 326)(156, 327)(157, 328)(158, 329)(159, 330)(160, 331)(161, 332)(162, 333)(163, 334)(164, 335)(165, 336)(166, 337)(167, 338)(168, 339)(169, 340)(170, 341)(171, 342)
	local type(s) :: { ( 6^3 ), ( 6^57 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 60 e = 171 f = 57
	degree seq :: [ 3^57, 57^3 ]

E28.2884 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 3, 57})
Quotient :: loop
Aut^+ = C3 x (C19 : C3) (small group id <171, 4>)
Aut   = C3 x (C19 : C3) (small group id <171, 4>)
|r| :: 1
Presentation :: [ X1^3, X2^3, (X2^-1 * X1)^3, X2 * X1 * X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1^-1, X2 * X1 * X2 * X1 * X2 * X1 * X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1 * X2 * X1 * X2 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 172, 2, 173, 4, 175)(3, 174, 8, 179, 9, 180)(5, 176, 12, 183, 13, 184)(6, 177, 14, 185, 15, 186)(7, 178, 16, 187, 17, 188)(10, 181, 21, 192, 22, 193)(11, 182, 23, 194, 24, 195)(18, 189, 33, 204, 34, 205)(19, 190, 26, 197, 35, 206)(20, 191, 36, 207, 37, 208)(25, 196, 42, 213, 43, 214)(27, 198, 44, 215, 45, 216)(28, 199, 46, 217, 47, 218)(29, 200, 31, 202, 48, 219)(30, 201, 49, 220, 50, 221)(32, 203, 51, 222, 52, 223)(38, 209, 59, 230, 60, 231)(39, 210, 40, 211, 61, 232)(41, 212, 62, 233, 63, 234)(53, 224, 76, 247, 77, 248)(54, 225, 56, 227, 78, 249)(55, 226, 79, 250, 80, 251)(57, 228, 66, 237, 81, 252)(58, 229, 82, 253, 83, 254)(64, 235, 90, 261, 91, 262)(65, 236, 92, 263, 93, 264)(67, 238, 94, 265, 95, 266)(68, 239, 96, 267, 97, 268)(69, 240, 71, 242, 98, 269)(70, 241, 99, 270, 100, 271)(72, 243, 74, 245, 101, 272)(73, 244, 102, 273, 103, 274)(75, 246, 104, 275, 105, 276)(84, 255, 115, 286, 116, 287)(85, 256, 86, 257, 117, 288)(87, 258, 88, 259, 118, 289)(89, 260, 119, 290, 120, 291)(106, 277, 137, 308, 138, 309)(107, 278, 109, 280, 139, 310)(108, 279, 140, 311, 141, 312)(110, 281, 112, 283, 142, 313)(111, 282, 143, 314, 144, 315)(113, 284, 124, 295, 126, 297)(114, 285, 145, 316, 146, 317)(121, 292, 136, 307, 152, 323)(122, 293, 153, 324, 154, 325)(123, 294, 155, 326, 156, 327)(125, 296, 157, 328, 128, 299)(127, 298, 129, 300, 158, 329)(130, 301, 132, 303, 159, 330)(131, 302, 160, 331, 161, 332)(133, 304, 135, 306, 147, 318)(134, 305, 162, 333, 163, 334)(148, 319, 149, 320, 168, 339)(150, 321, 151, 322, 164, 335)(165, 336, 166, 337, 170, 341)(167, 338, 171, 342, 169, 340)
	L = (1, 174)(2, 177)(3, 176)(4, 181)(5, 172)(6, 178)(7, 173)(8, 189)(9, 187)(10, 182)(11, 175)(12, 196)(13, 197)(14, 199)(15, 194)(16, 191)(17, 202)(18, 190)(19, 179)(20, 180)(21, 209)(22, 183)(23, 201)(24, 211)(25, 193)(26, 198)(27, 184)(28, 200)(29, 185)(30, 186)(31, 203)(32, 188)(33, 224)(34, 207)(35, 227)(36, 226)(37, 222)(38, 210)(39, 192)(40, 212)(41, 195)(42, 235)(43, 215)(44, 236)(45, 237)(46, 239)(47, 220)(48, 242)(49, 241)(50, 233)(51, 229)(52, 245)(53, 225)(54, 204)(55, 205)(56, 228)(57, 206)(58, 208)(59, 255)(60, 213)(61, 257)(62, 244)(63, 259)(64, 231)(65, 214)(66, 238)(67, 216)(68, 240)(69, 217)(70, 218)(71, 243)(72, 219)(73, 221)(74, 246)(75, 223)(76, 277)(77, 250)(78, 280)(79, 279)(80, 253)(81, 283)(82, 282)(83, 275)(84, 256)(85, 230)(86, 258)(87, 232)(88, 260)(89, 234)(90, 292)(91, 263)(92, 293)(93, 265)(94, 294)(95, 295)(96, 297)(97, 270)(98, 300)(99, 299)(100, 273)(101, 303)(102, 302)(103, 290)(104, 285)(105, 306)(106, 278)(107, 247)(108, 248)(109, 281)(110, 249)(111, 251)(112, 284)(113, 252)(114, 254)(115, 318)(116, 261)(117, 320)(118, 322)(119, 305)(120, 309)(121, 287)(122, 262)(123, 264)(124, 296)(125, 266)(126, 298)(127, 267)(128, 268)(129, 301)(130, 269)(131, 271)(132, 304)(133, 272)(134, 274)(135, 307)(136, 276)(137, 289)(138, 311)(139, 335)(140, 291)(141, 314)(142, 337)(143, 334)(144, 316)(145, 338)(146, 323)(147, 319)(148, 286)(149, 321)(150, 288)(151, 308)(152, 324)(153, 317)(154, 326)(155, 340)(156, 328)(157, 331)(158, 313)(159, 341)(160, 327)(161, 333)(162, 342)(163, 312)(164, 336)(165, 310)(166, 329)(167, 315)(168, 330)(169, 325)(170, 339)(171, 332)
	local type(s) :: { ( 3, 57, 3, 57, 3, 57 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: simple
	v = 57 e = 171 f = 60
	degree seq :: [ 6^57 ]

E28.2885 :: Family: { 2*ex } :: Oriented family(ies): { E3c }
Signature :: (0; {3, 3, 57})
Quotient :: loop
Aut^+ = C3 x (C19 : C3) (small group id <171, 4>)
Aut   = (C3 x (C19 : C3)) : C2 (small group id <342, 11>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^3, F * T1 * F * T2, (T2^-1 * T1)^3, T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1, T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 5)(2, 6, 7)(4, 10, 11)(8, 18, 19)(9, 16, 20)(12, 25, 22)(13, 26, 27)(14, 28, 29)(15, 23, 30)(17, 31, 32)(21, 38, 39)(24, 40, 41)(33, 53, 54)(34, 36, 55)(35, 56, 57)(37, 51, 58)(42, 64, 60)(43, 44, 65)(45, 66, 67)(46, 68, 69)(47, 49, 70)(48, 71, 72)(50, 62, 73)(52, 74, 75)(59, 84, 85)(61, 86, 87)(63, 88, 89)(76, 106, 107)(77, 79, 108)(78, 109, 110)(80, 82, 111)(81, 112, 113)(83, 104, 114)(90, 121, 116)(91, 92, 122)(93, 94, 123)(95, 124, 125)(96, 126, 127)(97, 99, 128)(98, 129, 130)(100, 102, 131)(101, 132, 133)(103, 119, 134)(105, 135, 136)(115, 147, 148)(117, 149, 150)(118, 151, 137)(120, 138, 140)(139, 164, 165)(141, 143, 163)(142, 166, 158)(144, 145, 167)(146, 152, 153)(154, 155, 169)(156, 157, 160)(159, 170, 168)(161, 162, 171)(172, 173, 175)(174, 179, 180)(176, 183, 184)(177, 185, 186)(178, 187, 188)(181, 192, 193)(182, 194, 195)(189, 204, 205)(190, 197, 206)(191, 207, 208)(196, 213, 214)(198, 215, 216)(199, 217, 218)(200, 202, 219)(201, 220, 221)(203, 222, 223)(209, 230, 231)(210, 211, 232)(212, 233, 234)(224, 247, 248)(225, 227, 249)(226, 250, 251)(228, 237, 252)(229, 253, 254)(235, 261, 262)(236, 263, 264)(238, 265, 266)(239, 267, 268)(240, 242, 269)(241, 270, 271)(243, 245, 272)(244, 273, 274)(246, 275, 276)(255, 286, 287)(256, 257, 288)(258, 259, 289)(260, 290, 291)(277, 308, 309)(278, 280, 310)(279, 311, 312)(281, 283, 313)(282, 314, 315)(284, 295, 297)(285, 316, 317)(292, 307, 323)(293, 324, 325)(294, 326, 327)(296, 328, 299)(298, 300, 329)(301, 303, 330)(302, 331, 332)(304, 306, 318)(305, 333, 334)(319, 320, 339)(321, 322, 335)(336, 337, 341)(338, 342, 340)
	L = (1, 172)(2, 173)(3, 174)(4, 175)(5, 176)(6, 177)(7, 178)(8, 179)(9, 180)(10, 181)(11, 182)(12, 183)(13, 184)(14, 185)(15, 186)(16, 187)(17, 188)(18, 189)(19, 190)(20, 191)(21, 192)(22, 193)(23, 194)(24, 195)(25, 196)(26, 197)(27, 198)(28, 199)(29, 200)(30, 201)(31, 202)(32, 203)(33, 204)(34, 205)(35, 206)(36, 207)(37, 208)(38, 209)(39, 210)(40, 211)(41, 212)(42, 213)(43, 214)(44, 215)(45, 216)(46, 217)(47, 218)(48, 219)(49, 220)(50, 221)(51, 222)(52, 223)(53, 224)(54, 225)(55, 226)(56, 227)(57, 228)(58, 229)(59, 230)(60, 231)(61, 232)(62, 233)(63, 234)(64, 235)(65, 236)(66, 237)(67, 238)(68, 239)(69, 240)(70, 241)(71, 242)(72, 243)(73, 244)(74, 245)(75, 246)(76, 247)(77, 248)(78, 249)(79, 250)(80, 251)(81, 252)(82, 253)(83, 254)(84, 255)(85, 256)(86, 257)(87, 258)(88, 259)(89, 260)(90, 261)(91, 262)(92, 263)(93, 264)(94, 265)(95, 266)(96, 267)(97, 268)(98, 269)(99, 270)(100, 271)(101, 272)(102, 273)(103, 274)(104, 275)(105, 276)(106, 277)(107, 278)(108, 279)(109, 280)(110, 281)(111, 282)(112, 283)(113, 284)(114, 285)(115, 286)(116, 287)(117, 288)(118, 289)(119, 290)(120, 291)(121, 292)(122, 293)(123, 294)(124, 295)(125, 296)(126, 297)(127, 298)(128, 299)(129, 300)(130, 301)(131, 302)(132, 303)(133, 304)(134, 305)(135, 306)(136, 307)(137, 308)(138, 309)(139, 310)(140, 311)(141, 312)(142, 313)(143, 314)(144, 315)(145, 316)(146, 317)(147, 318)(148, 319)(149, 320)(150, 321)(151, 322)(152, 323)(153, 324)(154, 325)(155, 326)(156, 327)(157, 328)(158, 329)(159, 330)(160, 331)(161, 332)(162, 333)(163, 334)(164, 335)(165, 336)(166, 337)(167, 338)(168, 339)(169, 340)(170, 341)(171, 342)
	local type(s) :: { ( 114^3 ) }
Outer automorphisms :: reflexible
Dual of E28.2886
Transitivity :: ET+ VT AT
Graph:: simple bipartite
	v = 114 e = 171 f = 3
	degree seq :: [ 3^114 ]

E28.2886 :: Family: { 2ex } :: Oriented family(ies): { E3*c }
Signature :: (0; {3, 3, 57})
Quotient :: edge
Aut^+ = C3 x (C19 : C3) (small group id <171, 4>)
Aut   = (C3 x (C19 : C3)) : C2 (small group id <342, 11>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, F * T1 * T2 * F * T1^-1, (T1 * T2^-1)^3, (T2^-1 * T1)^3, (T1^-1 * T2^-1)^3, (T2^-1 * T1)^3, (T2 * T1)^3, (T1^-1 * T2 * T1 * F)^2, T2^-2 * T1^-1 * T2 * T1 * T2^-5 ]
Map:: polytopal non-degenerate
	R = (1, 172, 3, 174, 9, 180, 25, 196, 54, 225, 99, 270, 59, 230, 28, 199, 20, 191, 44, 215, 86, 257, 136, 307, 153, 324, 107, 278, 60, 231, 84, 255, 46, 217, 88, 259, 139, 310, 171, 342, 154, 325, 108, 279, 135, 306, 137, 308, 90, 261, 131, 302, 167, 338, 166, 337, 155, 326, 161, 332, 170, 341, 168, 339, 132, 303, 81, 252, 127, 298, 126, 297, 114, 285, 151, 322, 169, 340, 133, 304, 82, 253, 41, 212, 76, 247, 64, 235, 104, 275, 148, 319, 134, 305, 83, 254, 42, 213, 18, 189, 31, 202, 57, 228, 102, 273, 75, 246, 37, 208, 15, 186, 5, 176)(2, 173, 6, 177, 17, 188, 40, 211, 80, 251, 50, 221, 23, 194, 8, 179, 22, 193, 48, 219, 92, 263, 142, 313, 95, 266, 52, 223, 24, 195, 51, 222, 65, 236, 113, 284, 160, 331, 145, 316, 97, 268, 53, 224, 96, 267, 105, 276, 115, 286, 156, 327, 162, 333, 146, 317, 98, 269, 125, 296, 149, 320, 152, 323, 157, 328, 110, 281, 119, 290, 123, 294, 73, 244, 124, 295, 165, 336, 158, 329, 111, 282, 62, 233, 70, 241, 35, 206, 71, 242, 121, 292, 159, 330, 112, 283, 63, 234, 30, 201, 13, 184, 33, 204, 68, 239, 91, 262, 47, 218, 21, 192, 7, 178)(4, 175, 11, 182, 29, 200, 61, 232, 109, 280, 77, 248, 38, 209, 16, 187, 14, 185, 34, 205, 69, 240, 118, 289, 128, 299, 78, 249, 39, 210, 67, 238, 36, 207, 72, 243, 122, 293, 164, 335, 129, 300, 79, 250, 117, 288, 120, 291, 74, 245, 100, 271, 144, 315, 143, 314, 130, 301, 141, 312, 163, 334, 147, 318, 101, 272, 55, 226, 94, 265, 93, 264, 89, 260, 140, 311, 150, 321, 103, 274, 56, 227, 26, 197, 49, 220, 45, 216, 87, 258, 138, 309, 106, 277, 58, 229, 27, 198, 10, 181, 19, 190, 43, 214, 85, 256, 116, 287, 66, 237, 32, 203, 12, 183)
	L = (1, 173)(2, 175)(3, 179)(4, 172)(5, 184)(6, 187)(7, 190)(8, 181)(9, 195)(10, 174)(11, 199)(12, 202)(13, 185)(14, 176)(15, 206)(16, 189)(17, 210)(18, 177)(19, 191)(20, 178)(21, 216)(22, 183)(23, 220)(24, 197)(25, 224)(26, 180)(27, 228)(28, 201)(29, 231)(30, 182)(31, 193)(32, 235)(33, 238)(34, 230)(35, 207)(36, 186)(37, 244)(38, 247)(39, 212)(40, 250)(41, 188)(42, 204)(43, 255)(44, 194)(45, 217)(46, 192)(47, 260)(48, 209)(49, 215)(50, 264)(51, 198)(52, 265)(53, 226)(54, 269)(55, 196)(56, 273)(57, 222)(58, 275)(59, 241)(60, 233)(61, 279)(62, 200)(63, 214)(64, 236)(65, 203)(66, 285)(67, 213)(68, 288)(69, 278)(70, 205)(71, 291)(72, 270)(73, 245)(74, 208)(75, 296)(76, 219)(77, 297)(78, 298)(79, 252)(80, 301)(81, 211)(82, 239)(83, 242)(84, 234)(85, 306)(86, 223)(87, 308)(88, 221)(89, 261)(90, 218)(91, 312)(92, 249)(93, 259)(94, 257)(95, 314)(96, 227)(97, 315)(98, 271)(99, 294)(100, 225)(101, 246)(102, 267)(103, 319)(104, 276)(105, 229)(106, 322)(107, 290)(108, 281)(109, 326)(110, 232)(111, 256)(112, 258)(113, 248)(114, 286)(115, 237)(116, 332)(117, 253)(118, 325)(119, 240)(120, 254)(121, 334)(122, 324)(123, 243)(124, 318)(125, 272)(126, 284)(127, 263)(128, 337)(129, 338)(130, 302)(131, 251)(132, 262)(133, 292)(134, 295)(135, 282)(136, 268)(137, 283)(138, 341)(139, 266)(140, 339)(141, 303)(142, 300)(143, 310)(144, 307)(145, 335)(146, 293)(147, 305)(148, 320)(149, 274)(150, 340)(151, 323)(152, 277)(153, 317)(154, 333)(155, 327)(156, 280)(157, 287)(158, 309)(159, 311)(160, 299)(161, 328)(162, 289)(163, 304)(164, 342)(165, 321)(166, 331)(167, 313)(168, 330)(169, 336)(170, 329)(171, 316)
	local type(s) :: { ( 3^114 ) }
Outer automorphisms :: reflexible
Dual of E28.2885
Transitivity :: ET+ VT+
Graph::
	v = 3 e = 171 f = 114
	degree seq :: [ 114^3 ]

E28.2887 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 57})
Quotient :: edge^2
Aut^+ = C3 x (C19 : C3) (small group id <171, 4>)
Aut   = (C3 x (C19 : C3)) : C2 (small group id <342, 11>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3, Y1^-1 * Y3^-1 * Y2^-1, R * Y2 * R * Y1, (R * Y3)^2, Y2^-1 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y1, Y3^-2 * Y2 * Y1 * Y3^2 * Y1^-1 * Y2^-1, Y3^-2 * Y1^-1 * Y2 * Y3^-1 * Y1^-1 * Y2 * Y3^-1 * Y1, Y3^3 * Y2 * Y1 * Y3^4, Y1 * Y3^3 * Y2^-1 * Y3^-1 * Y1^-1 * Y3^2 * Y2 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 172, 4, 175, 15, 186, 40, 211, 83, 254, 97, 268, 48, 219, 19, 190, 30, 201, 50, 221, 88, 259, 144, 315, 154, 325, 95, 266, 47, 218, 67, 238, 69, 240, 99, 270, 147, 318, 171, 342, 152, 323, 94, 265, 121, 292, 123, 294, 125, 296, 155, 326, 164, 335, 166, 337, 151, 322, 135, 306, 167, 338, 163, 334, 112, 283, 113, 284, 116, 287, 118, 289, 77, 248, 132, 303, 162, 333, 111, 282, 59, 230, 61, 232, 64, 235, 35, 206, 74, 245, 129, 300, 110, 281, 58, 229, 24, 195, 26, 197, 11, 182, 32, 203, 71, 242, 109, 280, 57, 228, 23, 194, 7, 178)(2, 173, 8, 179, 25, 196, 60, 231, 100, 271, 51, 222, 20, 191, 6, 177, 12, 183, 34, 205, 73, 244, 128, 299, 89, 260, 43, 214, 17, 188, 33, 204, 36, 207, 76, 247, 131, 302, 145, 316, 86, 257, 42, 213, 72, 243, 75, 246, 78, 249, 134, 305, 170, 341, 142, 313, 85, 256, 127, 298, 130, 301, 133, 304, 136, 307, 150, 321, 153, 324, 141, 312, 107, 278, 161, 332, 169, 340, 149, 320, 91, 262, 93, 264, 96, 267, 55, 226, 104, 275, 158, 329, 148, 319, 90, 261, 44, 215, 46, 217, 21, 192, 52, 223, 101, 272, 126, 297, 70, 241, 31, 202, 10, 181)(3, 174, 5, 176, 18, 189, 45, 216, 92, 263, 119, 290, 65, 236, 28, 199, 9, 180, 22, 193, 54, 225, 103, 274, 157, 328, 117, 288, 63, 234, 27, 198, 53, 224, 56, 227, 106, 277, 160, 331, 165, 336, 115, 286, 62, 233, 102, 273, 105, 276, 108, 279, 140, 311, 143, 314, 146, 317, 114, 285, 156, 327, 159, 330, 139, 310, 82, 253, 84, 255, 87, 258, 98, 269, 124, 295, 168, 339, 138, 309, 81, 252, 39, 210, 41, 212, 49, 220, 68, 239, 122, 293, 137, 308, 80, 251, 38, 209, 14, 185, 16, 187, 29, 200, 66, 237, 120, 291, 79, 250, 37, 208, 13, 184)(343, 344, 347)(345, 353, 354)(346, 348, 358)(349, 363, 364)(350, 351, 368)(352, 371, 372)(355, 377, 378)(356, 374, 375)(357, 359, 383)(360, 361, 388)(362, 391, 392)(365, 397, 398)(366, 394, 395)(367, 369, 403)(370, 406, 376)(373, 410, 411)(379, 419, 420)(380, 416, 417)(381, 413, 414)(382, 384, 426)(385, 429, 430)(386, 408, 409)(387, 389, 435)(390, 438, 396)(393, 440, 441)(399, 449, 450)(400, 446, 447)(401, 443, 444)(402, 404, 455)(405, 458, 415)(407, 460, 418)(412, 466, 467)(421, 477, 478)(422, 474, 475)(423, 471, 472)(424, 451, 469)(425, 427, 482)(428, 485, 486)(431, 488, 489)(432, 464, 465)(433, 462, 463)(434, 436, 492)(437, 495, 445)(439, 483, 448)(442, 456, 497)(452, 503, 481)(453, 500, 501)(454, 468, 498)(457, 506, 470)(459, 508, 473)(461, 493, 476)(479, 509, 491)(480, 504, 511)(484, 502, 496)(487, 507, 513)(490, 510, 505)(494, 512, 499)(514, 516, 519)(515, 520, 522)(517, 527, 530)(518, 523, 532)(521, 537, 540)(524, 526, 546)(525, 539, 541)(528, 552, 555)(529, 533, 543)(531, 557, 560)(534, 536, 566)(535, 559, 561)(538, 572, 575)(542, 544, 580)(545, 551, 585)(547, 574, 576)(548, 550, 588)(549, 577, 578)(553, 595, 598)(554, 556, 563)(558, 604, 607)(562, 564, 582)(565, 571, 615)(567, 606, 608)(568, 570, 618)(569, 609, 610)(573, 625, 627)(579, 603, 634)(581, 583, 636)(584, 594, 640)(586, 626, 628)(587, 593, 643)(589, 629, 630)(590, 592, 646)(591, 631, 632)(596, 621, 654)(597, 599, 601)(600, 602, 612)(605, 649, 664)(611, 613, 638)(614, 624, 669)(616, 663, 665)(617, 623, 672)(619, 666, 667)(620, 622, 652)(633, 662, 648)(635, 661, 680)(637, 639, 676)(641, 668, 659)(642, 651, 674)(644, 677, 678)(645, 650, 682)(647, 679, 670)(653, 655, 657)(656, 658, 660)(671, 675, 681)(673, 683, 684)
	L = (1, 343)(2, 344)(3, 345)(4, 346)(5, 347)(6, 348)(7, 349)(8, 350)(9, 351)(10, 352)(11, 353)(12, 354)(13, 355)(14, 356)(15, 357)(16, 358)(17, 359)(18, 360)(19, 361)(20, 362)(21, 363)(22, 364)(23, 365)(24, 366)(25, 367)(26, 368)(27, 369)(28, 370)(29, 371)(30, 372)(31, 373)(32, 374)(33, 375)(34, 376)(35, 377)(36, 378)(37, 379)(38, 380)(39, 381)(40, 382)(41, 383)(42, 384)(43, 385)(44, 386)(45, 387)(46, 388)(47, 389)(48, 390)(49, 391)(50, 392)(51, 393)(52, 394)(53, 395)(54, 396)(55, 397)(56, 398)(57, 399)(58, 400)(59, 401)(60, 402)(61, 403)(62, 404)(63, 405)(64, 406)(65, 407)(66, 408)(67, 409)(68, 410)(69, 411)(70, 412)(71, 413)(72, 414)(73, 415)(74, 416)(75, 417)(76, 418)(77, 419)(78, 420)(79, 421)(80, 422)(81, 423)(82, 424)(83, 425)(84, 426)(85, 427)(86, 428)(87, 429)(88, 430)(89, 431)(90, 432)(91, 433)(92, 434)(93, 435)(94, 436)(95, 437)(96, 438)(97, 439)(98, 440)(99, 441)(100, 442)(101, 443)(102, 444)(103, 445)(104, 446)(105, 447)(106, 448)(107, 449)(108, 450)(109, 451)(110, 452)(111, 453)(112, 454)(113, 455)(114, 456)(115, 457)(116, 458)(117, 459)(118, 460)(119, 461)(120, 462)(121, 463)(122, 464)(123, 465)(124, 466)(125, 467)(126, 468)(127, 469)(128, 470)(129, 471)(130, 472)(131, 473)(132, 474)(133, 475)(134, 476)(135, 477)(136, 478)(137, 479)(138, 480)(139, 481)(140, 482)(141, 483)(142, 484)(143, 485)(144, 486)(145, 487)(146, 488)(147, 489)(148, 490)(149, 491)(150, 492)(151, 493)(152, 494)(153, 495)(154, 496)(155, 497)(156, 498)(157, 499)(158, 500)(159, 501)(160, 502)(161, 503)(162, 504)(163, 505)(164, 506)(165, 507)(166, 508)(167, 509)(168, 510)(169, 511)(170, 512)(171, 513)(172, 514)(173, 515)(174, 516)(175, 517)(176, 518)(177, 519)(178, 520)(179, 521)(180, 522)(181, 523)(182, 524)(183, 525)(184, 526)(185, 527)(186, 528)(187, 529)(188, 530)(189, 531)(190, 532)(191, 533)(192, 534)(193, 535)(194, 536)(195, 537)(196, 538)(197, 539)(198, 540)(199, 541)(200, 542)(201, 543)(202, 544)(203, 545)(204, 546)(205, 547)(206, 548)(207, 549)(208, 550)(209, 551)(210, 552)(211, 553)(212, 554)(213, 555)(214, 556)(215, 557)(216, 558)(217, 559)(218, 560)(219, 561)(220, 562)(221, 563)(222, 564)(223, 565)(224, 566)(225, 567)(226, 568)(227, 569)(228, 570)(229, 571)(230, 572)(231, 573)(232, 574)(233, 575)(234, 576)(235, 577)(236, 578)(237, 579)(238, 580)(239, 581)(240, 582)(241, 583)(242, 584)(243, 585)(244, 586)(245, 587)(246, 588)(247, 589)(248, 590)(249, 591)(250, 592)(251, 593)(252, 594)(253, 595)(254, 596)(255, 597)(256, 598)(257, 599)(258, 600)(259, 601)(260, 602)(261, 603)(262, 604)(263, 605)(264, 606)(265, 607)(266, 608)(267, 609)(268, 610)(269, 611)(270, 612)(271, 613)(272, 614)(273, 615)(274, 616)(275, 617)(276, 618)(277, 619)(278, 620)(279, 621)(280, 622)(281, 623)(282, 624)(283, 625)(284, 626)(285, 627)(286, 628)(287, 629)(288, 630)(289, 631)(290, 632)(291, 633)(292, 634)(293, 635)(294, 636)(295, 637)(296, 638)(297, 639)(298, 640)(299, 641)(300, 642)(301, 643)(302, 644)(303, 645)(304, 646)(305, 647)(306, 648)(307, 649)(308, 650)(309, 651)(310, 652)(311, 653)(312, 654)(313, 655)(314, 656)(315, 657)(316, 658)(317, 659)(318, 660)(319, 661)(320, 662)(321, 663)(322, 664)(323, 665)(324, 666)(325, 667)(326, 668)(327, 669)(328, 670)(329, 671)(330, 672)(331, 673)(332, 674)(333, 675)(334, 676)(335, 677)(336, 678)(337, 679)(338, 680)(339, 681)(340, 682)(341, 683)(342, 684)
	local type(s) :: { ( 4^3 ), ( 4^114 ) }
Outer automorphisms :: reflexible
Dual of E28.2890
Graph:: simple bipartite
	v = 117 e = 342 f = 171
	degree seq :: [ 3^114, 114^3 ]

E28.2888 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 57})
Quotient :: edge^2
Aut^+ = C3 x (C19 : C3) (small group id <171, 4>)
Aut   = (C3 x (C19 : C3)) : C2 (small group id <342, 11>)
|r| :: 2
Presentation :: [ Y3, R^2, Y2^3, Y1^3, (R * Y3)^2, R * Y1 * R * Y2, (Y2^-1 * Y1)^3, Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y1^-1 * Y3^-1 * Y2^-1)^57 ]
Map:: polytopal
	R = (1, 172)(2, 173)(3, 174)(4, 175)(5, 176)(6, 177)(7, 178)(8, 179)(9, 180)(10, 181)(11, 182)(12, 183)(13, 184)(14, 185)(15, 186)(16, 187)(17, 188)(18, 189)(19, 190)(20, 191)(21, 192)(22, 193)(23, 194)(24, 195)(25, 196)(26, 197)(27, 198)(28, 199)(29, 200)(30, 201)(31, 202)(32, 203)(33, 204)(34, 205)(35, 206)(36, 207)(37, 208)(38, 209)(39, 210)(40, 211)(41, 212)(42, 213)(43, 214)(44, 215)(45, 216)(46, 217)(47, 218)(48, 219)(49, 220)(50, 221)(51, 222)(52, 223)(53, 224)(54, 225)(55, 226)(56, 227)(57, 228)(58, 229)(59, 230)(60, 231)(61, 232)(62, 233)(63, 234)(64, 235)(65, 236)(66, 237)(67, 238)(68, 239)(69, 240)(70, 241)(71, 242)(72, 243)(73, 244)(74, 245)(75, 246)(76, 247)(77, 248)(78, 249)(79, 250)(80, 251)(81, 252)(82, 253)(83, 254)(84, 255)(85, 256)(86, 257)(87, 258)(88, 259)(89, 260)(90, 261)(91, 262)(92, 263)(93, 264)(94, 265)(95, 266)(96, 267)(97, 268)(98, 269)(99, 270)(100, 271)(101, 272)(102, 273)(103, 274)(104, 275)(105, 276)(106, 277)(107, 278)(108, 279)(109, 280)(110, 281)(111, 282)(112, 283)(113, 284)(114, 285)(115, 286)(116, 287)(117, 288)(118, 289)(119, 290)(120, 291)(121, 292)(122, 293)(123, 294)(124, 295)(125, 296)(126, 297)(127, 298)(128, 299)(129, 300)(130, 301)(131, 302)(132, 303)(133, 304)(134, 305)(135, 306)(136, 307)(137, 308)(138, 309)(139, 310)(140, 311)(141, 312)(142, 313)(143, 314)(144, 315)(145, 316)(146, 317)(147, 318)(148, 319)(149, 320)(150, 321)(151, 322)(152, 323)(153, 324)(154, 325)(155, 326)(156, 327)(157, 328)(158, 329)(159, 330)(160, 331)(161, 332)(162, 333)(163, 334)(164, 335)(165, 336)(166, 337)(167, 338)(168, 339)(169, 340)(170, 341)(171, 342)(343, 344, 346)(345, 350, 351)(347, 354, 355)(348, 356, 357)(349, 358, 359)(352, 363, 364)(353, 365, 366)(360, 375, 376)(361, 368, 377)(362, 378, 379)(367, 384, 385)(369, 386, 387)(370, 388, 389)(371, 373, 390)(372, 391, 392)(374, 393, 394)(380, 401, 402)(381, 382, 403)(383, 404, 405)(395, 418, 419)(396, 398, 420)(397, 421, 422)(399, 408, 423)(400, 424, 425)(406, 432, 433)(407, 434, 435)(409, 436, 437)(410, 438, 439)(411, 413, 440)(412, 441, 442)(414, 416, 443)(415, 444, 445)(417, 446, 447)(426, 457, 458)(427, 428, 459)(429, 430, 460)(431, 461, 462)(448, 479, 480)(449, 451, 481)(450, 482, 483)(452, 454, 484)(453, 485, 486)(455, 466, 468)(456, 487, 488)(463, 478, 494)(464, 495, 496)(465, 497, 498)(467, 499, 470)(469, 471, 500)(472, 474, 501)(473, 502, 503)(475, 477, 489)(476, 504, 505)(490, 491, 510)(492, 493, 506)(507, 508, 512)(509, 513, 511)(514, 516, 518)(515, 519, 520)(517, 523, 524)(521, 531, 532)(522, 529, 533)(525, 538, 535)(526, 539, 540)(527, 541, 542)(528, 536, 543)(530, 544, 545)(534, 551, 552)(537, 553, 554)(546, 566, 567)(547, 549, 568)(548, 569, 570)(550, 564, 571)(555, 577, 573)(556, 557, 578)(558, 579, 580)(559, 581, 582)(560, 562, 583)(561, 584, 585)(563, 575, 586)(565, 587, 588)(572, 597, 598)(574, 599, 600)(576, 601, 602)(589, 619, 620)(590, 592, 621)(591, 622, 623)(593, 595, 624)(594, 625, 626)(596, 617, 627)(603, 634, 629)(604, 605, 635)(606, 607, 636)(608, 637, 638)(609, 639, 640)(610, 612, 641)(611, 642, 643)(613, 615, 644)(614, 645, 646)(616, 632, 647)(618, 648, 649)(628, 660, 661)(630, 662, 663)(631, 664, 650)(633, 651, 653)(652, 677, 678)(654, 656, 676)(655, 679, 671)(657, 658, 680)(659, 665, 666)(667, 668, 682)(669, 670, 673)(672, 683, 681)(674, 675, 684)
	L = (1, 343)(2, 344)(3, 345)(4, 346)(5, 347)(6, 348)(7, 349)(8, 350)(9, 351)(10, 352)(11, 353)(12, 354)(13, 355)(14, 356)(15, 357)(16, 358)(17, 359)(18, 360)(19, 361)(20, 362)(21, 363)(22, 364)(23, 365)(24, 366)(25, 367)(26, 368)(27, 369)(28, 370)(29, 371)(30, 372)(31, 373)(32, 374)(33, 375)(34, 376)(35, 377)(36, 378)(37, 379)(38, 380)(39, 381)(40, 382)(41, 383)(42, 384)(43, 385)(44, 386)(45, 387)(46, 388)(47, 389)(48, 390)(49, 391)(50, 392)(51, 393)(52, 394)(53, 395)(54, 396)(55, 397)(56, 398)(57, 399)(58, 400)(59, 401)(60, 402)(61, 403)(62, 404)(63, 405)(64, 406)(65, 407)(66, 408)(67, 409)(68, 410)(69, 411)(70, 412)(71, 413)(72, 414)(73, 415)(74, 416)(75, 417)(76, 418)(77, 419)(78, 420)(79, 421)(80, 422)(81, 423)(82, 424)(83, 425)(84, 426)(85, 427)(86, 428)(87, 429)(88, 430)(89, 431)(90, 432)(91, 433)(92, 434)(93, 435)(94, 436)(95, 437)(96, 438)(97, 439)(98, 440)(99, 441)(100, 442)(101, 443)(102, 444)(103, 445)(104, 446)(105, 447)(106, 448)(107, 449)(108, 450)(109, 451)(110, 452)(111, 453)(112, 454)(113, 455)(114, 456)(115, 457)(116, 458)(117, 459)(118, 460)(119, 461)(120, 462)(121, 463)(122, 464)(123, 465)(124, 466)(125, 467)(126, 468)(127, 469)(128, 470)(129, 471)(130, 472)(131, 473)(132, 474)(133, 475)(134, 476)(135, 477)(136, 478)(137, 479)(138, 480)(139, 481)(140, 482)(141, 483)(142, 484)(143, 485)(144, 486)(145, 487)(146, 488)(147, 489)(148, 490)(149, 491)(150, 492)(151, 493)(152, 494)(153, 495)(154, 496)(155, 497)(156, 498)(157, 499)(158, 500)(159, 501)(160, 502)(161, 503)(162, 504)(163, 505)(164, 506)(165, 507)(166, 508)(167, 509)(168, 510)(169, 511)(170, 512)(171, 513)(172, 514)(173, 515)(174, 516)(175, 517)(176, 518)(177, 519)(178, 520)(179, 521)(180, 522)(181, 523)(182, 524)(183, 525)(184, 526)(185, 527)(186, 528)(187, 529)(188, 530)(189, 531)(190, 532)(191, 533)(192, 534)(193, 535)(194, 536)(195, 537)(196, 538)(197, 539)(198, 540)(199, 541)(200, 542)(201, 543)(202, 544)(203, 545)(204, 546)(205, 547)(206, 548)(207, 549)(208, 550)(209, 551)(210, 552)(211, 553)(212, 554)(213, 555)(214, 556)(215, 557)(216, 558)(217, 559)(218, 560)(219, 561)(220, 562)(221, 563)(222, 564)(223, 565)(224, 566)(225, 567)(226, 568)(227, 569)(228, 570)(229, 571)(230, 572)(231, 573)(232, 574)(233, 575)(234, 576)(235, 577)(236, 578)(237, 579)(238, 580)(239, 581)(240, 582)(241, 583)(242, 584)(243, 585)(244, 586)(245, 587)(246, 588)(247, 589)(248, 590)(249, 591)(250, 592)(251, 593)(252, 594)(253, 595)(254, 596)(255, 597)(256, 598)(257, 599)(258, 600)(259, 601)(260, 602)(261, 603)(262, 604)(263, 605)(264, 606)(265, 607)(266, 608)(267, 609)(268, 610)(269, 611)(270, 612)(271, 613)(272, 614)(273, 615)(274, 616)(275, 617)(276, 618)(277, 619)(278, 620)(279, 621)(280, 622)(281, 623)(282, 624)(283, 625)(284, 626)(285, 627)(286, 628)(287, 629)(288, 630)(289, 631)(290, 632)(291, 633)(292, 634)(293, 635)(294, 636)(295, 637)(296, 638)(297, 639)(298, 640)(299, 641)(300, 642)(301, 643)(302, 644)(303, 645)(304, 646)(305, 647)(306, 648)(307, 649)(308, 650)(309, 651)(310, 652)(311, 653)(312, 654)(313, 655)(314, 656)(315, 657)(316, 658)(317, 659)(318, 660)(319, 661)(320, 662)(321, 663)(322, 664)(323, 665)(324, 666)(325, 667)(326, 668)(327, 669)(328, 670)(329, 671)(330, 672)(331, 673)(332, 674)(333, 675)(334, 676)(335, 677)(336, 678)(337, 679)(338, 680)(339, 681)(340, 682)(341, 683)(342, 684)
	local type(s) :: { ( 228, 228 ), ( 228^3 ) }
Outer automorphisms :: reflexible
Dual of E28.2889
Graph:: simple bipartite
	v = 285 e = 342 f = 3
	degree seq :: [ 2^171, 3^114 ]

E28.2889 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 57})
Quotient :: loop^2
Aut^+ = C3 x (C19 : C3) (small group id <171, 4>)
Aut   = (C3 x (C19 : C3)) : C2 (small group id <342, 11>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3, Y1^-1 * Y3^-1 * Y2^-1, R * Y2 * R * Y1, (R * Y3)^2, Y2^-1 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y1, Y3^-2 * Y2 * Y1 * Y3^2 * Y1^-1 * Y2^-1, Y3^-2 * Y1^-1 * Y2 * Y3^-1 * Y1^-1 * Y2 * Y3^-1 * Y1, Y3^3 * Y2 * Y1 * Y3^4, Y1 * Y3^3 * Y2^-1 * Y3^-1 * Y1^-1 * Y3^2 * Y2 * Y3^-1 ]
Map::
	R = (1, 172, 343, 514, 4, 175, 346, 517, 15, 186, 357, 528, 40, 211, 382, 553, 83, 254, 425, 596, 97, 268, 439, 610, 48, 219, 390, 561, 19, 190, 361, 532, 30, 201, 372, 543, 50, 221, 392, 563, 88, 259, 430, 601, 144, 315, 486, 657, 154, 325, 496, 667, 95, 266, 437, 608, 47, 218, 389, 560, 67, 238, 409, 580, 69, 240, 411, 582, 99, 270, 441, 612, 147, 318, 489, 660, 171, 342, 513, 684, 152, 323, 494, 665, 94, 265, 436, 607, 121, 292, 463, 634, 123, 294, 465, 636, 125, 296, 467, 638, 155, 326, 497, 668, 164, 335, 506, 677, 166, 337, 508, 679, 151, 322, 493, 664, 135, 306, 477, 648, 167, 338, 509, 680, 163, 334, 505, 676, 112, 283, 454, 625, 113, 284, 455, 626, 116, 287, 458, 629, 118, 289, 460, 631, 77, 248, 419, 590, 132, 303, 474, 645, 162, 333, 504, 675, 111, 282, 453, 624, 59, 230, 401, 572, 61, 232, 403, 574, 64, 235, 406, 577, 35, 206, 377, 548, 74, 245, 416, 587, 129, 300, 471, 642, 110, 281, 452, 623, 58, 229, 400, 571, 24, 195, 366, 537, 26, 197, 368, 539, 11, 182, 353, 524, 32, 203, 374, 545, 71, 242, 413, 584, 109, 280, 451, 622, 57, 228, 399, 570, 23, 194, 365, 536, 7, 178, 349, 520)(2, 173, 344, 515, 8, 179, 350, 521, 25, 196, 367, 538, 60, 231, 402, 573, 100, 271, 442, 613, 51, 222, 393, 564, 20, 191, 362, 533, 6, 177, 348, 519, 12, 183, 354, 525, 34, 205, 376, 547, 73, 244, 415, 586, 128, 299, 470, 641, 89, 260, 431, 602, 43, 214, 385, 556, 17, 188, 359, 530, 33, 204, 375, 546, 36, 207, 378, 549, 76, 247, 418, 589, 131, 302, 473, 644, 145, 316, 487, 658, 86, 257, 428, 599, 42, 213, 384, 555, 72, 243, 414, 585, 75, 246, 417, 588, 78, 249, 420, 591, 134, 305, 476, 647, 170, 341, 512, 683, 142, 313, 484, 655, 85, 256, 427, 598, 127, 298, 469, 640, 130, 301, 472, 643, 133, 304, 475, 646, 136, 307, 478, 649, 150, 321, 492, 663, 153, 324, 495, 666, 141, 312, 483, 654, 107, 278, 449, 620, 161, 332, 503, 674, 169, 340, 511, 682, 149, 320, 491, 662, 91, 262, 433, 604, 93, 264, 435, 606, 96, 267, 438, 609, 55, 226, 397, 568, 104, 275, 446, 617, 158, 329, 500, 671, 148, 319, 490, 661, 90, 261, 432, 603, 44, 215, 386, 557, 46, 217, 388, 559, 21, 192, 363, 534, 52, 223, 394, 565, 101, 272, 443, 614, 126, 297, 468, 639, 70, 241, 412, 583, 31, 202, 373, 544, 10, 181, 352, 523)(3, 174, 345, 516, 5, 176, 347, 518, 18, 189, 360, 531, 45, 216, 387, 558, 92, 263, 434, 605, 119, 290, 461, 632, 65, 236, 407, 578, 28, 199, 370, 541, 9, 180, 351, 522, 22, 193, 364, 535, 54, 225, 396, 567, 103, 274, 445, 616, 157, 328, 499, 670, 117, 288, 459, 630, 63, 234, 405, 576, 27, 198, 369, 540, 53, 224, 395, 566, 56, 227, 398, 569, 106, 277, 448, 619, 160, 331, 502, 673, 165, 336, 507, 678, 115, 286, 457, 628, 62, 233, 404, 575, 102, 273, 444, 615, 105, 276, 447, 618, 108, 279, 450, 621, 140, 311, 482, 653, 143, 314, 485, 656, 146, 317, 488, 659, 114, 285, 456, 627, 156, 327, 498, 669, 159, 330, 501, 672, 139, 310, 481, 652, 82, 253, 424, 595, 84, 255, 426, 597, 87, 258, 429, 600, 98, 269, 440, 611, 124, 295, 466, 637, 168, 339, 510, 681, 138, 309, 480, 651, 81, 252, 423, 594, 39, 210, 381, 552, 41, 212, 383, 554, 49, 220, 391, 562, 68, 239, 410, 581, 122, 293, 464, 635, 137, 308, 479, 650, 80, 251, 422, 593, 38, 209, 380, 551, 14, 185, 356, 527, 16, 187, 358, 529, 29, 200, 371, 542, 66, 237, 408, 579, 120, 291, 462, 633, 79, 250, 421, 592, 37, 208, 379, 550, 13, 184, 355, 526)
	L = (1, 173)(2, 176)(3, 182)(4, 177)(5, 172)(6, 187)(7, 192)(8, 180)(9, 197)(10, 200)(11, 183)(12, 174)(13, 206)(14, 203)(15, 188)(16, 175)(17, 212)(18, 190)(19, 217)(20, 220)(21, 193)(22, 178)(23, 226)(24, 223)(25, 198)(26, 179)(27, 232)(28, 235)(29, 201)(30, 181)(31, 239)(32, 204)(33, 185)(34, 199)(35, 207)(36, 184)(37, 248)(38, 245)(39, 242)(40, 213)(41, 186)(42, 255)(43, 258)(44, 237)(45, 218)(46, 189)(47, 264)(48, 267)(49, 221)(50, 191)(51, 269)(52, 224)(53, 195)(54, 219)(55, 227)(56, 194)(57, 278)(58, 275)(59, 272)(60, 233)(61, 196)(62, 284)(63, 287)(64, 205)(65, 289)(66, 238)(67, 215)(68, 240)(69, 202)(70, 295)(71, 243)(72, 210)(73, 234)(74, 246)(75, 209)(76, 236)(77, 249)(78, 208)(79, 306)(80, 303)(81, 300)(82, 280)(83, 256)(84, 211)(85, 311)(86, 314)(87, 259)(88, 214)(89, 317)(90, 293)(91, 291)(92, 265)(93, 216)(94, 321)(95, 324)(96, 225)(97, 312)(98, 270)(99, 222)(100, 285)(101, 273)(102, 230)(103, 266)(104, 276)(105, 229)(106, 268)(107, 279)(108, 228)(109, 298)(110, 332)(111, 329)(112, 297)(113, 231)(114, 326)(115, 335)(116, 244)(117, 337)(118, 247)(119, 322)(120, 292)(121, 262)(122, 294)(123, 261)(124, 296)(125, 241)(126, 327)(127, 253)(128, 286)(129, 301)(130, 252)(131, 288)(132, 304)(133, 251)(134, 290)(135, 307)(136, 250)(137, 338)(138, 333)(139, 281)(140, 254)(141, 277)(142, 331)(143, 315)(144, 257)(145, 336)(146, 318)(147, 260)(148, 339)(149, 308)(150, 263)(151, 305)(152, 341)(153, 274)(154, 313)(155, 271)(156, 283)(157, 323)(158, 330)(159, 282)(160, 325)(161, 310)(162, 340)(163, 319)(164, 299)(165, 342)(166, 302)(167, 320)(168, 334)(169, 309)(170, 328)(171, 316)(343, 516)(344, 520)(345, 519)(346, 527)(347, 523)(348, 514)(349, 522)(350, 537)(351, 515)(352, 532)(353, 526)(354, 539)(355, 546)(356, 530)(357, 552)(358, 533)(359, 517)(360, 557)(361, 518)(362, 543)(363, 536)(364, 559)(365, 566)(366, 540)(367, 572)(368, 541)(369, 521)(370, 525)(371, 544)(372, 529)(373, 580)(374, 551)(375, 524)(376, 574)(377, 550)(378, 577)(379, 588)(380, 585)(381, 555)(382, 595)(383, 556)(384, 528)(385, 563)(386, 560)(387, 604)(388, 561)(389, 531)(390, 535)(391, 564)(392, 554)(393, 582)(394, 571)(395, 534)(396, 606)(397, 570)(398, 609)(399, 618)(400, 615)(401, 575)(402, 625)(403, 576)(404, 538)(405, 547)(406, 578)(407, 549)(408, 603)(409, 542)(410, 583)(411, 562)(412, 636)(413, 594)(414, 545)(415, 626)(416, 593)(417, 548)(418, 629)(419, 592)(420, 631)(421, 646)(422, 643)(423, 640)(424, 598)(425, 621)(426, 599)(427, 553)(428, 601)(429, 602)(430, 597)(431, 612)(432, 634)(433, 607)(434, 649)(435, 608)(436, 558)(437, 567)(438, 610)(439, 569)(440, 613)(441, 600)(442, 638)(443, 624)(444, 565)(445, 663)(446, 623)(447, 568)(448, 666)(449, 622)(450, 654)(451, 652)(452, 672)(453, 669)(454, 627)(455, 628)(456, 573)(457, 586)(458, 630)(459, 589)(460, 632)(461, 591)(462, 662)(463, 579)(464, 661)(465, 581)(466, 639)(467, 611)(468, 676)(469, 584)(470, 668)(471, 651)(472, 587)(473, 677)(474, 650)(475, 590)(476, 679)(477, 633)(478, 664)(479, 682)(480, 674)(481, 620)(482, 655)(483, 596)(484, 657)(485, 658)(486, 653)(487, 660)(488, 641)(489, 656)(490, 680)(491, 648)(492, 665)(493, 605)(494, 616)(495, 667)(496, 619)(497, 659)(498, 614)(499, 647)(500, 675)(501, 617)(502, 683)(503, 642)(504, 681)(505, 637)(506, 678)(507, 644)(508, 670)(509, 635)(510, 671)(511, 645)(512, 684)(513, 673)
	local type(s) :: { ( 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3 ) }
Outer automorphisms :: reflexible
Dual of E28.2888
Transitivity :: VT+
Graph::
	v = 3 e = 342 f = 285
	degree seq :: [ 228^3 ]

E28.2890 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 57})
Quotient :: loop^2
Aut^+ = C3 x (C19 : C3) (small group id <171, 4>)
Aut   = (C3 x (C19 : C3)) : C2 (small group id <342, 11>)
|r| :: 2
Presentation :: [ Y3, R^2, Y2^3, Y1^3, (R * Y3)^2, R * Y1 * R * Y2, (Y2^-1 * Y1)^3, Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y1^-1 * Y3^-1 * Y2^-1)^57 ]
Map:: polytopal non-degenerate
	R = (1, 172, 343, 514)(2, 173, 344, 515)(3, 174, 345, 516)(4, 175, 346, 517)(5, 176, 347, 518)(6, 177, 348, 519)(7, 178, 349, 520)(8, 179, 350, 521)(9, 180, 351, 522)(10, 181, 352, 523)(11, 182, 353, 524)(12, 183, 354, 525)(13, 184, 355, 526)(14, 185, 356, 527)(15, 186, 357, 528)(16, 187, 358, 529)(17, 188, 359, 530)(18, 189, 360, 531)(19, 190, 361, 532)(20, 191, 362, 533)(21, 192, 363, 534)(22, 193, 364, 535)(23, 194, 365, 536)(24, 195, 366, 537)(25, 196, 367, 538)(26, 197, 368, 539)(27, 198, 369, 540)(28, 199, 370, 541)(29, 200, 371, 542)(30, 201, 372, 543)(31, 202, 373, 544)(32, 203, 374, 545)(33, 204, 375, 546)(34, 205, 376, 547)(35, 206, 377, 548)(36, 207, 378, 549)(37, 208, 379, 550)(38, 209, 380, 551)(39, 210, 381, 552)(40, 211, 382, 553)(41, 212, 383, 554)(42, 213, 384, 555)(43, 214, 385, 556)(44, 215, 386, 557)(45, 216, 387, 558)(46, 217, 388, 559)(47, 218, 389, 560)(48, 219, 390, 561)(49, 220, 391, 562)(50, 221, 392, 563)(51, 222, 393, 564)(52, 223, 394, 565)(53, 224, 395, 566)(54, 225, 396, 567)(55, 226, 397, 568)(56, 227, 398, 569)(57, 228, 399, 570)(58, 229, 400, 571)(59, 230, 401, 572)(60, 231, 402, 573)(61, 232, 403, 574)(62, 233, 404, 575)(63, 234, 405, 576)(64, 235, 406, 577)(65, 236, 407, 578)(66, 237, 408, 579)(67, 238, 409, 580)(68, 239, 410, 581)(69, 240, 411, 582)(70, 241, 412, 583)(71, 242, 413, 584)(72, 243, 414, 585)(73, 244, 415, 586)(74, 245, 416, 587)(75, 246, 417, 588)(76, 247, 418, 589)(77, 248, 419, 590)(78, 249, 420, 591)(79, 250, 421, 592)(80, 251, 422, 593)(81, 252, 423, 594)(82, 253, 424, 595)(83, 254, 425, 596)(84, 255, 426, 597)(85, 256, 427, 598)(86, 257, 428, 599)(87, 258, 429, 600)(88, 259, 430, 601)(89, 260, 431, 602)(90, 261, 432, 603)(91, 262, 433, 604)(92, 263, 434, 605)(93, 264, 435, 606)(94, 265, 436, 607)(95, 266, 437, 608)(96, 267, 438, 609)(97, 268, 439, 610)(98, 269, 440, 611)(99, 270, 441, 612)(100, 271, 442, 613)(101, 272, 443, 614)(102, 273, 444, 615)(103, 274, 445, 616)(104, 275, 446, 617)(105, 276, 447, 618)(106, 277, 448, 619)(107, 278, 449, 620)(108, 279, 450, 621)(109, 280, 451, 622)(110, 281, 452, 623)(111, 282, 453, 624)(112, 283, 454, 625)(113, 284, 455, 626)(114, 285, 456, 627)(115, 286, 457, 628)(116, 287, 458, 629)(117, 288, 459, 630)(118, 289, 460, 631)(119, 290, 461, 632)(120, 291, 462, 633)(121, 292, 463, 634)(122, 293, 464, 635)(123, 294, 465, 636)(124, 295, 466, 637)(125, 296, 467, 638)(126, 297, 468, 639)(127, 298, 469, 640)(128, 299, 470, 641)(129, 300, 471, 642)(130, 301, 472, 643)(131, 302, 473, 644)(132, 303, 474, 645)(133, 304, 475, 646)(134, 305, 476, 647)(135, 306, 477, 648)(136, 307, 478, 649)(137, 308, 479, 650)(138, 309, 480, 651)(139, 310, 481, 652)(140, 311, 482, 653)(141, 312, 483, 654)(142, 313, 484, 655)(143, 314, 485, 656)(144, 315, 486, 657)(145, 316, 487, 658)(146, 317, 488, 659)(147, 318, 489, 660)(148, 319, 490, 661)(149, 320, 491, 662)(150, 321, 492, 663)(151, 322, 493, 664)(152, 323, 494, 665)(153, 324, 495, 666)(154, 325, 496, 667)(155, 326, 497, 668)(156, 327, 498, 669)(157, 328, 499, 670)(158, 329, 500, 671)(159, 330, 501, 672)(160, 331, 502, 673)(161, 332, 503, 674)(162, 333, 504, 675)(163, 334, 505, 676)(164, 335, 506, 677)(165, 336, 507, 678)(166, 337, 508, 679)(167, 338, 509, 680)(168, 339, 510, 681)(169, 340, 511, 682)(170, 341, 512, 683)(171, 342, 513, 684)
	L = (1, 173)(2, 175)(3, 179)(4, 172)(5, 183)(6, 185)(7, 187)(8, 180)(9, 174)(10, 192)(11, 194)(12, 184)(13, 176)(14, 186)(15, 177)(16, 188)(17, 178)(18, 204)(19, 197)(20, 207)(21, 193)(22, 181)(23, 195)(24, 182)(25, 213)(26, 206)(27, 215)(28, 217)(29, 202)(30, 220)(31, 219)(32, 222)(33, 205)(34, 189)(35, 190)(36, 208)(37, 191)(38, 230)(39, 211)(40, 232)(41, 233)(42, 214)(43, 196)(44, 216)(45, 198)(46, 218)(47, 199)(48, 200)(49, 221)(50, 201)(51, 223)(52, 203)(53, 247)(54, 227)(55, 250)(56, 249)(57, 237)(58, 253)(59, 231)(60, 209)(61, 210)(62, 234)(63, 212)(64, 261)(65, 263)(66, 252)(67, 265)(68, 267)(69, 242)(70, 270)(71, 269)(72, 245)(73, 273)(74, 272)(75, 275)(76, 248)(77, 224)(78, 225)(79, 251)(80, 226)(81, 228)(82, 254)(83, 229)(84, 286)(85, 257)(86, 288)(87, 259)(88, 289)(89, 290)(90, 262)(91, 235)(92, 264)(93, 236)(94, 266)(95, 238)(96, 268)(97, 239)(98, 240)(99, 271)(100, 241)(101, 243)(102, 274)(103, 244)(104, 276)(105, 246)(106, 308)(107, 280)(108, 311)(109, 310)(110, 283)(111, 314)(112, 313)(113, 295)(114, 316)(115, 287)(116, 255)(117, 256)(118, 258)(119, 291)(120, 260)(121, 307)(122, 324)(123, 326)(124, 297)(125, 328)(126, 284)(127, 300)(128, 296)(129, 329)(130, 303)(131, 331)(132, 330)(133, 306)(134, 333)(135, 318)(136, 323)(137, 309)(138, 277)(139, 278)(140, 312)(141, 279)(142, 281)(143, 315)(144, 282)(145, 317)(146, 285)(147, 304)(148, 320)(149, 339)(150, 322)(151, 335)(152, 292)(153, 325)(154, 293)(155, 327)(156, 294)(157, 299)(158, 298)(159, 301)(160, 332)(161, 302)(162, 334)(163, 305)(164, 321)(165, 337)(166, 341)(167, 342)(168, 319)(169, 338)(170, 336)(171, 340)(343, 516)(344, 519)(345, 518)(346, 523)(347, 514)(348, 520)(349, 515)(350, 531)(351, 529)(352, 524)(353, 517)(354, 538)(355, 539)(356, 541)(357, 536)(358, 533)(359, 544)(360, 532)(361, 521)(362, 522)(363, 551)(364, 525)(365, 543)(366, 553)(367, 535)(368, 540)(369, 526)(370, 542)(371, 527)(372, 528)(373, 545)(374, 530)(375, 566)(376, 549)(377, 569)(378, 568)(379, 564)(380, 552)(381, 534)(382, 554)(383, 537)(384, 577)(385, 557)(386, 578)(387, 579)(388, 581)(389, 562)(390, 584)(391, 583)(392, 575)(393, 571)(394, 587)(395, 567)(396, 546)(397, 547)(398, 570)(399, 548)(400, 550)(401, 597)(402, 555)(403, 599)(404, 586)(405, 601)(406, 573)(407, 556)(408, 580)(409, 558)(410, 582)(411, 559)(412, 560)(413, 585)(414, 561)(415, 563)(416, 588)(417, 565)(418, 619)(419, 592)(420, 622)(421, 621)(422, 595)(423, 625)(424, 624)(425, 617)(426, 598)(427, 572)(428, 600)(429, 574)(430, 602)(431, 576)(432, 634)(433, 605)(434, 635)(435, 607)(436, 636)(437, 637)(438, 639)(439, 612)(440, 642)(441, 641)(442, 615)(443, 645)(444, 644)(445, 632)(446, 627)(447, 648)(448, 620)(449, 589)(450, 590)(451, 623)(452, 591)(453, 593)(454, 626)(455, 594)(456, 596)(457, 660)(458, 603)(459, 662)(460, 664)(461, 647)(462, 651)(463, 629)(464, 604)(465, 606)(466, 638)(467, 608)(468, 640)(469, 609)(470, 610)(471, 643)(472, 611)(473, 613)(474, 646)(475, 614)(476, 616)(477, 649)(478, 618)(479, 631)(480, 653)(481, 677)(482, 633)(483, 656)(484, 679)(485, 676)(486, 658)(487, 680)(488, 665)(489, 661)(490, 628)(491, 663)(492, 630)(493, 650)(494, 666)(495, 659)(496, 668)(497, 682)(498, 670)(499, 673)(500, 655)(501, 683)(502, 669)(503, 675)(504, 684)(505, 654)(506, 678)(507, 652)(508, 671)(509, 657)(510, 672)(511, 667)(512, 681)(513, 674)
	local type(s) :: { ( 3, 114, 3, 114 ) }
Outer automorphisms :: reflexible
Dual of E28.2887
Transitivity :: VT+
Graph:: simple
	v = 171 e = 342 f = 117
	degree seq :: [ 4^171 ]

E28.2891 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 5, 6})
Quotient :: edge
Aut^+ = GL(2,4) (small group id <180, 19>)
Aut   = A5 x S3 (small group id <360, 121>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, T2^5, T2^-1 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1, T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^2 * T1^-1, (T1^-1 * T2^-2)^3, T1^-1 * T2 * T1^-1 * T2 * T1 * T2^-2 * T1 * T2, T2^-1 * T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1, T2^2 * T1^-1 * T2^2 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-2 * T1^-1 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 15, 5)(2, 6, 17, 21, 7)(4, 11, 29, 33, 12)(8, 22, 52, 56, 23)(10, 26, 62, 66, 27)(13, 34, 76, 80, 35)(14, 36, 81, 83, 37)(16, 40, 88, 89, 41)(18, 44, 94, 95, 45)(19, 46, 96, 99, 47)(20, 48, 61, 101, 49)(24, 57, 75, 110, 58)(25, 59, 112, 114, 60)(28, 53, 105, 79, 67)(30, 70, 122, 123, 71)(31, 55, 107, 111, 72)(32, 65, 93, 124, 73)(38, 84, 119, 131, 85)(39, 86, 90, 42, 87)(43, 91, 134, 135, 92)(50, 78, 127, 143, 102)(51, 103, 120, 68, 104)(54, 100, 141, 146, 106)(63, 69, 121, 155, 117)(64, 109, 149, 126, 77)(74, 98, 139, 153, 115)(82, 129, 160, 138, 97)(108, 147, 169, 170, 148)(113, 116, 154, 173, 152)(118, 145, 168, 171, 150)(125, 158, 176, 162, 133)(128, 130, 161, 177, 159)(132, 151, 172, 163, 136)(137, 165, 179, 174, 156)(140, 142, 167, 180, 166)(144, 164, 178, 175, 157)(181, 182, 184)(183, 188, 190)(185, 193, 194)(186, 196, 198)(187, 199, 200)(189, 204, 205)(191, 208, 210)(192, 211, 212)(195, 218, 219)(197, 222, 223)(201, 230, 231)(202, 220, 233)(203, 234, 235)(206, 241, 243)(207, 244, 245)(209, 248, 249)(213, 254, 255)(214, 221, 257)(215, 258, 259)(216, 225, 262)(217, 229, 253)(224, 273, 240)(226, 247, 277)(227, 278, 236)(228, 251, 280)(232, 263, 284)(237, 268, 281)(238, 288, 289)(239, 291, 293)(242, 295, 296)(246, 298, 299)(250, 261, 272)(252, 264, 269)(256, 294, 305)(260, 308, 271)(265, 310, 274)(266, 306, 312)(267, 285, 304)(270, 313, 309)(275, 316, 307)(276, 315, 317)(279, 320, 301)(282, 322, 302)(283, 318, 324)(286, 325, 290)(287, 297, 327)(292, 330, 331)(300, 336, 321)(303, 337, 319)(311, 328, 338)(314, 343, 344)(323, 342, 345)(326, 346, 334)(329, 332, 341)(333, 354, 349)(335, 355, 348)(339, 347, 340)(350, 360, 352)(351, 359, 357)(353, 358, 356)
	L = (1, 181)(2, 182)(3, 183)(4, 184)(5, 185)(6, 186)(7, 187)(8, 188)(9, 189)(10, 190)(11, 191)(12, 192)(13, 193)(14, 194)(15, 195)(16, 196)(17, 197)(18, 198)(19, 199)(20, 200)(21, 201)(22, 202)(23, 203)(24, 204)(25, 205)(26, 206)(27, 207)(28, 208)(29, 209)(30, 210)(31, 211)(32, 212)(33, 213)(34, 214)(35, 215)(36, 216)(37, 217)(38, 218)(39, 219)(40, 220)(41, 221)(42, 222)(43, 223)(44, 224)(45, 225)(46, 226)(47, 227)(48, 228)(49, 229)(50, 230)(51, 231)(52, 232)(53, 233)(54, 234)(55, 235)(56, 236)(57, 237)(58, 238)(59, 239)(60, 240)(61, 241)(62, 242)(63, 243)(64, 244)(65, 245)(66, 246)(67, 247)(68, 248)(69, 249)(70, 250)(71, 251)(72, 252)(73, 253)(74, 254)(75, 255)(76, 256)(77, 257)(78, 258)(79, 259)(80, 260)(81, 261)(82, 262)(83, 263)(84, 264)(85, 265)(86, 266)(87, 267)(88, 268)(89, 269)(90, 270)(91, 271)(92, 272)(93, 273)(94, 274)(95, 275)(96, 276)(97, 277)(98, 278)(99, 279)(100, 280)(101, 281)(102, 282)(103, 283)(104, 284)(105, 285)(106, 286)(107, 287)(108, 288)(109, 289)(110, 290)(111, 291)(112, 292)(113, 293)(114, 294)(115, 295)(116, 296)(117, 297)(118, 298)(119, 299)(120, 300)(121, 301)(122, 302)(123, 303)(124, 304)(125, 305)(126, 306)(127, 307)(128, 308)(129, 309)(130, 310)(131, 311)(132, 312)(133, 313)(134, 314)(135, 315)(136, 316)(137, 317)(138, 318)(139, 319)(140, 320)(141, 321)(142, 322)(143, 323)(144, 324)(145, 325)(146, 326)(147, 327)(148, 328)(149, 329)(150, 330)(151, 331)(152, 332)(153, 333)(154, 334)(155, 335)(156, 336)(157, 337)(158, 338)(159, 339)(160, 340)(161, 341)(162, 342)(163, 343)(164, 344)(165, 345)(166, 346)(167, 347)(168, 348)(169, 349)(170, 350)(171, 351)(172, 352)(173, 353)(174, 354)(175, 355)(176, 356)(177, 357)(178, 358)(179, 359)(180, 360)
	local type(s) :: { ( 12^3 ), ( 12^5 ) }
Outer automorphisms :: reflexible
Dual of E28.2895
Transitivity :: ET+
Graph:: simple bipartite
	v = 96 e = 180 f = 30
	degree seq :: [ 3^60, 5^36 ]

E28.2892 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 5, 6})
Quotient :: edge
Aut^+ = GL(2,4) (small group id <180, 19>)
Aut   = A5 x S3 (small group id <360, 121>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^5, (T2 * T1^-1)^3, T2^6, T2^2 * T1 * T2^-2 * T1^-1, (T2^-1 * T1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 29, 17, 5)(2, 7, 21, 49, 25, 8)(4, 12, 30, 58, 38, 14)(6, 18, 42, 77, 46, 19)(9, 27, 56, 34, 15, 28)(11, 23, 48, 20, 16, 32)(13, 35, 60, 98, 71, 36)(22, 44, 76, 41, 24, 51)(26, 54, 91, 73, 39, 55)(31, 61, 84, 74, 40, 62)(33, 65, 96, 69, 37, 66)(43, 70, 107, 68, 45, 79)(47, 82, 63, 88, 52, 83)(50, 85, 101, 89, 53, 86)(57, 93, 67, 90, 59, 95)(64, 102, 97, 110, 72, 103)(75, 113, 87, 118, 80, 114)(78, 115, 124, 119, 81, 116)(92, 100, 111, 99, 94, 112)(104, 136, 108, 134, 105, 138)(106, 139, 117, 141, 109, 140)(120, 123, 125, 122, 121, 126)(127, 137, 131, 135, 129, 142)(128, 154, 143, 156, 130, 155)(132, 157, 144, 159, 133, 158)(145, 148, 149, 147, 146, 150)(151, 172, 153, 174, 152, 173)(160, 166, 164, 165, 162, 167)(161, 175, 168, 177, 163, 176)(169, 178, 171, 180, 170, 179)(181, 182, 186, 193, 184)(183, 189, 206, 211, 191)(185, 195, 219, 220, 196)(187, 200, 227, 230, 202)(188, 203, 232, 233, 204)(190, 201, 222, 240, 210)(192, 213, 244, 247, 214)(194, 217, 252, 237, 207)(197, 205, 226, 251, 218)(198, 221, 255, 258, 223)(199, 224, 260, 261, 225)(208, 238, 276, 277, 239)(209, 236, 271, 264, 228)(212, 243, 281, 256, 229)(215, 248, 286, 288, 249)(216, 250, 289, 284, 245)(231, 267, 304, 287, 257)(234, 270, 307, 308, 272)(235, 273, 309, 310, 274)(241, 279, 312, 300, 262)(242, 280, 313, 301, 263)(246, 278, 259, 297, 285)(253, 275, 311, 323, 291)(254, 292, 324, 305, 268)(265, 302, 331, 325, 293)(266, 303, 332, 326, 294)(269, 306, 333, 329, 298)(282, 314, 340, 341, 315)(283, 316, 342, 343, 317)(290, 318, 344, 348, 322)(295, 327, 349, 345, 319)(296, 328, 350, 346, 320)(299, 330, 351, 347, 321)(334, 355, 358, 352, 337)(335, 356, 359, 353, 338)(336, 357, 360, 354, 339)
	L = (1, 181)(2, 182)(3, 183)(4, 184)(5, 185)(6, 186)(7, 187)(8, 188)(9, 189)(10, 190)(11, 191)(12, 192)(13, 193)(14, 194)(15, 195)(16, 196)(17, 197)(18, 198)(19, 199)(20, 200)(21, 201)(22, 202)(23, 203)(24, 204)(25, 205)(26, 206)(27, 207)(28, 208)(29, 209)(30, 210)(31, 211)(32, 212)(33, 213)(34, 214)(35, 215)(36, 216)(37, 217)(38, 218)(39, 219)(40, 220)(41, 221)(42, 222)(43, 223)(44, 224)(45, 225)(46, 226)(47, 227)(48, 228)(49, 229)(50, 230)(51, 231)(52, 232)(53, 233)(54, 234)(55, 235)(56, 236)(57, 237)(58, 238)(59, 239)(60, 240)(61, 241)(62, 242)(63, 243)(64, 244)(65, 245)(66, 246)(67, 247)(68, 248)(69, 249)(70, 250)(71, 251)(72, 252)(73, 253)(74, 254)(75, 255)(76, 256)(77, 257)(78, 258)(79, 259)(80, 260)(81, 261)(82, 262)(83, 263)(84, 264)(85, 265)(86, 266)(87, 267)(88, 268)(89, 269)(90, 270)(91, 271)(92, 272)(93, 273)(94, 274)(95, 275)(96, 276)(97, 277)(98, 278)(99, 279)(100, 280)(101, 281)(102, 282)(103, 283)(104, 284)(105, 285)(106, 286)(107, 287)(108, 288)(109, 289)(110, 290)(111, 291)(112, 292)(113, 293)(114, 294)(115, 295)(116, 296)(117, 297)(118, 298)(119, 299)(120, 300)(121, 301)(122, 302)(123, 303)(124, 304)(125, 305)(126, 306)(127, 307)(128, 308)(129, 309)(130, 310)(131, 311)(132, 312)(133, 313)(134, 314)(135, 315)(136, 316)(137, 317)(138, 318)(139, 319)(140, 320)(141, 321)(142, 322)(143, 323)(144, 324)(145, 325)(146, 326)(147, 327)(148, 328)(149, 329)(150, 330)(151, 331)(152, 332)(153, 333)(154, 334)(155, 335)(156, 336)(157, 337)(158, 338)(159, 339)(160, 340)(161, 341)(162, 342)(163, 343)(164, 344)(165, 345)(166, 346)(167, 347)(168, 348)(169, 349)(170, 350)(171, 351)(172, 352)(173, 353)(174, 354)(175, 355)(176, 356)(177, 357)(178, 358)(179, 359)(180, 360)
	local type(s) :: { ( 6^5 ), ( 6^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2896
Transitivity :: ET+
Graph:: simple bipartite
	v = 66 e = 180 f = 60
	degree seq :: [ 5^36, 6^30 ]

E28.2893 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 5, 6})
Quotient :: edge
Aut^+ = GL(2,4) (small group id <180, 19>)
Aut   = A5 x S3 (small group id <360, 121>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, T1^2 * T2 * T1^-2 * T2^-1, T1^6, T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1, (T2^-1 * T1^-1)^5 ]
Map:: polytopal non-degenerate
	R = (1, 3, 5)(2, 7, 8)(4, 11, 13)(6, 17, 18)(9, 23, 24)(10, 25, 27)(12, 26, 29)(14, 31, 32)(15, 33, 34)(16, 35, 36)(19, 39, 40)(20, 41, 42)(21, 43, 44)(22, 45, 46)(28, 53, 54)(30, 55, 56)(37, 63, 64)(38, 65, 66)(47, 75, 79)(48, 76, 80)(49, 81, 82)(50, 83, 84)(51, 78, 85)(52, 86, 87)(57, 88, 89)(58, 90, 91)(59, 92, 68)(60, 93, 71)(61, 94, 95)(62, 96, 67)(69, 97, 98)(70, 99, 100)(72, 101, 102)(73, 103, 104)(74, 105, 106)(77, 107, 108)(109, 127, 128)(110, 129, 130)(111, 131, 132)(112, 133, 134)(113, 135, 136)(114, 137, 138)(115, 139, 140)(116, 141, 142)(117, 143, 144)(118, 145, 146)(119, 147, 148)(120, 149, 150)(121, 151, 152)(122, 153, 154)(123, 155, 156)(124, 157, 158)(125, 159, 160)(126, 161, 162)(163, 175, 167)(164, 176, 168)(165, 177, 166)(169, 178, 173)(170, 179, 174)(171, 180, 172)(181, 182, 186, 196, 192, 184)(183, 189, 197, 217, 206, 190)(185, 194, 198, 218, 209, 195)(187, 199, 215, 208, 191, 200)(188, 201, 216, 210, 193, 202)(203, 227, 243, 231, 205, 228)(204, 229, 244, 232, 207, 230)(211, 237, 245, 241, 213, 238)(212, 239, 246, 242, 214, 240)(219, 247, 233, 251, 221, 248)(220, 249, 234, 252, 222, 250)(223, 253, 235, 257, 225, 254)(224, 255, 236, 258, 226, 256)(259, 289, 265, 291, 260, 290)(261, 292, 266, 294, 263, 293)(262, 268, 267, 274, 264, 270)(269, 295, 275, 297, 271, 296)(272, 298, 276, 300, 273, 299)(277, 301, 281, 303, 279, 302)(278, 283, 282, 287, 280, 285)(284, 304, 288, 306, 286, 305)(307, 342, 311, 340, 309, 338)(308, 313, 312, 317, 310, 315)(314, 343, 318, 345, 316, 344)(319, 346, 323, 348, 321, 347)(320, 325, 324, 329, 322, 327)(326, 333, 330, 331, 328, 335)(332, 349, 336, 351, 334, 350)(337, 352, 341, 354, 339, 353)(355, 358, 357, 360, 356, 359)
	L = (1, 181)(2, 182)(3, 183)(4, 184)(5, 185)(6, 186)(7, 187)(8, 188)(9, 189)(10, 190)(11, 191)(12, 192)(13, 193)(14, 194)(15, 195)(16, 196)(17, 197)(18, 198)(19, 199)(20, 200)(21, 201)(22, 202)(23, 203)(24, 204)(25, 205)(26, 206)(27, 207)(28, 208)(29, 209)(30, 210)(31, 211)(32, 212)(33, 213)(34, 214)(35, 215)(36, 216)(37, 217)(38, 218)(39, 219)(40, 220)(41, 221)(42, 222)(43, 223)(44, 224)(45, 225)(46, 226)(47, 227)(48, 228)(49, 229)(50, 230)(51, 231)(52, 232)(53, 233)(54, 234)(55, 235)(56, 236)(57, 237)(58, 238)(59, 239)(60, 240)(61, 241)(62, 242)(63, 243)(64, 244)(65, 245)(66, 246)(67, 247)(68, 248)(69, 249)(70, 250)(71, 251)(72, 252)(73, 253)(74, 254)(75, 255)(76, 256)(77, 257)(78, 258)(79, 259)(80, 260)(81, 261)(82, 262)(83, 263)(84, 264)(85, 265)(86, 266)(87, 267)(88, 268)(89, 269)(90, 270)(91, 271)(92, 272)(93, 273)(94, 274)(95, 275)(96, 276)(97, 277)(98, 278)(99, 279)(100, 280)(101, 281)(102, 282)(103, 283)(104, 284)(105, 285)(106, 286)(107, 287)(108, 288)(109, 289)(110, 290)(111, 291)(112, 292)(113, 293)(114, 294)(115, 295)(116, 296)(117, 297)(118, 298)(119, 299)(120, 300)(121, 301)(122, 302)(123, 303)(124, 304)(125, 305)(126, 306)(127, 307)(128, 308)(129, 309)(130, 310)(131, 311)(132, 312)(133, 313)(134, 314)(135, 315)(136, 316)(137, 317)(138, 318)(139, 319)(140, 320)(141, 321)(142, 322)(143, 323)(144, 324)(145, 325)(146, 326)(147, 327)(148, 328)(149, 329)(150, 330)(151, 331)(152, 332)(153, 333)(154, 334)(155, 335)(156, 336)(157, 337)(158, 338)(159, 339)(160, 340)(161, 341)(162, 342)(163, 343)(164, 344)(165, 345)(166, 346)(167, 347)(168, 348)(169, 349)(170, 350)(171, 351)(172, 352)(173, 353)(174, 354)(175, 355)(176, 356)(177, 357)(178, 358)(179, 359)(180, 360)
	local type(s) :: { ( 10^3 ), ( 10^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2894
Transitivity :: ET+
Graph:: simple bipartite
	v = 90 e = 180 f = 36
	degree seq :: [ 3^60, 6^30 ]

E28.2894 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 5, 6})
Quotient :: loop
Aut^+ = GL(2,4) (small group id <180, 19>)
Aut   = A5 x S3 (small group id <360, 121>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, T2^5, T2^-1 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1, T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^2 * T1^-1, (T1^-1 * T2^-2)^3, T1^-1 * T2 * T1^-1 * T2 * T1 * T2^-2 * T1 * T2, T2^-1 * T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1, T2^2 * T1^-1 * T2^2 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-2 * T1^-1 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 181, 3, 183, 9, 189, 15, 195, 5, 185)(2, 182, 6, 186, 17, 197, 21, 201, 7, 187)(4, 184, 11, 191, 29, 209, 33, 213, 12, 192)(8, 188, 22, 202, 52, 232, 56, 236, 23, 203)(10, 190, 26, 206, 62, 242, 66, 246, 27, 207)(13, 193, 34, 214, 76, 256, 80, 260, 35, 215)(14, 194, 36, 216, 81, 261, 83, 263, 37, 217)(16, 196, 40, 220, 88, 268, 89, 269, 41, 221)(18, 198, 44, 224, 94, 274, 95, 275, 45, 225)(19, 199, 46, 226, 96, 276, 99, 279, 47, 227)(20, 200, 48, 228, 61, 241, 101, 281, 49, 229)(24, 204, 57, 237, 75, 255, 110, 290, 58, 238)(25, 205, 59, 239, 112, 292, 114, 294, 60, 240)(28, 208, 53, 233, 105, 285, 79, 259, 67, 247)(30, 210, 70, 250, 122, 302, 123, 303, 71, 251)(31, 211, 55, 235, 107, 287, 111, 291, 72, 252)(32, 212, 65, 245, 93, 273, 124, 304, 73, 253)(38, 218, 84, 264, 119, 299, 131, 311, 85, 265)(39, 219, 86, 266, 90, 270, 42, 222, 87, 267)(43, 223, 91, 271, 134, 314, 135, 315, 92, 272)(50, 230, 78, 258, 127, 307, 143, 323, 102, 282)(51, 231, 103, 283, 120, 300, 68, 248, 104, 284)(54, 234, 100, 280, 141, 321, 146, 326, 106, 286)(63, 243, 69, 249, 121, 301, 155, 335, 117, 297)(64, 244, 109, 289, 149, 329, 126, 306, 77, 257)(74, 254, 98, 278, 139, 319, 153, 333, 115, 295)(82, 262, 129, 309, 160, 340, 138, 318, 97, 277)(108, 288, 147, 327, 169, 349, 170, 350, 148, 328)(113, 293, 116, 296, 154, 334, 173, 353, 152, 332)(118, 298, 145, 325, 168, 348, 171, 351, 150, 330)(125, 305, 158, 338, 176, 356, 162, 342, 133, 313)(128, 308, 130, 310, 161, 341, 177, 357, 159, 339)(132, 312, 151, 331, 172, 352, 163, 343, 136, 316)(137, 317, 165, 345, 179, 359, 174, 354, 156, 336)(140, 320, 142, 322, 167, 347, 180, 360, 166, 346)(144, 324, 164, 344, 178, 358, 175, 355, 157, 337)
	L = (1, 182)(2, 184)(3, 188)(4, 181)(5, 193)(6, 196)(7, 199)(8, 190)(9, 204)(10, 183)(11, 208)(12, 211)(13, 194)(14, 185)(15, 218)(16, 198)(17, 222)(18, 186)(19, 200)(20, 187)(21, 230)(22, 220)(23, 234)(24, 205)(25, 189)(26, 241)(27, 244)(28, 210)(29, 248)(30, 191)(31, 212)(32, 192)(33, 254)(34, 221)(35, 258)(36, 225)(37, 229)(38, 219)(39, 195)(40, 233)(41, 257)(42, 223)(43, 197)(44, 273)(45, 262)(46, 247)(47, 278)(48, 251)(49, 253)(50, 231)(51, 201)(52, 263)(53, 202)(54, 235)(55, 203)(56, 227)(57, 268)(58, 288)(59, 291)(60, 224)(61, 243)(62, 295)(63, 206)(64, 245)(65, 207)(66, 298)(67, 277)(68, 249)(69, 209)(70, 261)(71, 280)(72, 264)(73, 217)(74, 255)(75, 213)(76, 294)(77, 214)(78, 259)(79, 215)(80, 308)(81, 272)(82, 216)(83, 284)(84, 269)(85, 310)(86, 306)(87, 285)(88, 281)(89, 252)(90, 313)(91, 260)(92, 250)(93, 240)(94, 265)(95, 316)(96, 315)(97, 226)(98, 236)(99, 320)(100, 228)(101, 237)(102, 322)(103, 318)(104, 232)(105, 304)(106, 325)(107, 297)(108, 289)(109, 238)(110, 286)(111, 293)(112, 330)(113, 239)(114, 305)(115, 296)(116, 242)(117, 327)(118, 299)(119, 246)(120, 336)(121, 279)(122, 282)(123, 337)(124, 267)(125, 256)(126, 312)(127, 275)(128, 271)(129, 270)(130, 274)(131, 328)(132, 266)(133, 309)(134, 343)(135, 317)(136, 307)(137, 276)(138, 324)(139, 303)(140, 301)(141, 300)(142, 302)(143, 342)(144, 283)(145, 290)(146, 346)(147, 287)(148, 338)(149, 332)(150, 331)(151, 292)(152, 341)(153, 354)(154, 326)(155, 355)(156, 321)(157, 319)(158, 311)(159, 347)(160, 339)(161, 329)(162, 345)(163, 344)(164, 314)(165, 323)(166, 334)(167, 340)(168, 335)(169, 333)(170, 360)(171, 359)(172, 350)(173, 358)(174, 349)(175, 348)(176, 353)(177, 351)(178, 356)(179, 357)(180, 352)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2893
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 36 e = 180 f = 90
	degree seq :: [ 10^36 ]

E28.2895 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 5, 6})
Quotient :: loop
Aut^+ = GL(2,4) (small group id <180, 19>)
Aut   = A5 x S3 (small group id <360, 121>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^5, (T2 * T1^-1)^3, T2^6, T2^2 * T1 * T2^-2 * T1^-1, (T2^-1 * T1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 181, 3, 183, 10, 190, 29, 209, 17, 197, 5, 185)(2, 182, 7, 187, 21, 201, 49, 229, 25, 205, 8, 188)(4, 184, 12, 192, 30, 210, 58, 238, 38, 218, 14, 194)(6, 186, 18, 198, 42, 222, 77, 257, 46, 226, 19, 199)(9, 189, 27, 207, 56, 236, 34, 214, 15, 195, 28, 208)(11, 191, 23, 203, 48, 228, 20, 200, 16, 196, 32, 212)(13, 193, 35, 215, 60, 240, 98, 278, 71, 251, 36, 216)(22, 202, 44, 224, 76, 256, 41, 221, 24, 204, 51, 231)(26, 206, 54, 234, 91, 271, 73, 253, 39, 219, 55, 235)(31, 211, 61, 241, 84, 264, 74, 254, 40, 220, 62, 242)(33, 213, 65, 245, 96, 276, 69, 249, 37, 217, 66, 246)(43, 223, 70, 250, 107, 287, 68, 248, 45, 225, 79, 259)(47, 227, 82, 262, 63, 243, 88, 268, 52, 232, 83, 263)(50, 230, 85, 265, 101, 281, 89, 269, 53, 233, 86, 266)(57, 237, 93, 273, 67, 247, 90, 270, 59, 239, 95, 275)(64, 244, 102, 282, 97, 277, 110, 290, 72, 252, 103, 283)(75, 255, 113, 293, 87, 267, 118, 298, 80, 260, 114, 294)(78, 258, 115, 295, 124, 304, 119, 299, 81, 261, 116, 296)(92, 272, 100, 280, 111, 291, 99, 279, 94, 274, 112, 292)(104, 284, 136, 316, 108, 288, 134, 314, 105, 285, 138, 318)(106, 286, 139, 319, 117, 297, 141, 321, 109, 289, 140, 320)(120, 300, 123, 303, 125, 305, 122, 302, 121, 301, 126, 306)(127, 307, 137, 317, 131, 311, 135, 315, 129, 309, 142, 322)(128, 308, 154, 334, 143, 323, 156, 336, 130, 310, 155, 335)(132, 312, 157, 337, 144, 324, 159, 339, 133, 313, 158, 338)(145, 325, 148, 328, 149, 329, 147, 327, 146, 326, 150, 330)(151, 331, 172, 352, 153, 333, 174, 354, 152, 332, 173, 353)(160, 340, 166, 346, 164, 344, 165, 345, 162, 342, 167, 347)(161, 341, 175, 355, 168, 348, 177, 357, 163, 343, 176, 356)(169, 349, 178, 358, 171, 351, 180, 360, 170, 350, 179, 359)
	L = (1, 182)(2, 186)(3, 189)(4, 181)(5, 195)(6, 193)(7, 200)(8, 203)(9, 206)(10, 201)(11, 183)(12, 213)(13, 184)(14, 217)(15, 219)(16, 185)(17, 205)(18, 221)(19, 224)(20, 227)(21, 222)(22, 187)(23, 232)(24, 188)(25, 226)(26, 211)(27, 194)(28, 238)(29, 236)(30, 190)(31, 191)(32, 243)(33, 244)(34, 192)(35, 248)(36, 250)(37, 252)(38, 197)(39, 220)(40, 196)(41, 255)(42, 240)(43, 198)(44, 260)(45, 199)(46, 251)(47, 230)(48, 209)(49, 212)(50, 202)(51, 267)(52, 233)(53, 204)(54, 270)(55, 273)(56, 271)(57, 207)(58, 276)(59, 208)(60, 210)(61, 279)(62, 280)(63, 281)(64, 247)(65, 216)(66, 278)(67, 214)(68, 286)(69, 215)(70, 289)(71, 218)(72, 237)(73, 275)(74, 292)(75, 258)(76, 229)(77, 231)(78, 223)(79, 297)(80, 261)(81, 225)(82, 241)(83, 242)(84, 228)(85, 302)(86, 303)(87, 304)(88, 254)(89, 306)(90, 307)(91, 264)(92, 234)(93, 309)(94, 235)(95, 311)(96, 277)(97, 239)(98, 259)(99, 312)(100, 313)(101, 256)(102, 314)(103, 316)(104, 245)(105, 246)(106, 288)(107, 257)(108, 249)(109, 284)(110, 318)(111, 253)(112, 324)(113, 265)(114, 266)(115, 327)(116, 328)(117, 285)(118, 269)(119, 330)(120, 262)(121, 263)(122, 331)(123, 332)(124, 287)(125, 268)(126, 333)(127, 308)(128, 272)(129, 310)(130, 274)(131, 323)(132, 300)(133, 301)(134, 340)(135, 282)(136, 342)(137, 283)(138, 344)(139, 295)(140, 296)(141, 299)(142, 290)(143, 291)(144, 305)(145, 293)(146, 294)(147, 349)(148, 350)(149, 298)(150, 351)(151, 325)(152, 326)(153, 329)(154, 355)(155, 356)(156, 357)(157, 334)(158, 335)(159, 336)(160, 341)(161, 315)(162, 343)(163, 317)(164, 348)(165, 319)(166, 320)(167, 321)(168, 322)(169, 345)(170, 346)(171, 347)(172, 337)(173, 338)(174, 339)(175, 358)(176, 359)(177, 360)(178, 352)(179, 353)(180, 354)
	local type(s) :: { ( 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5 ) }
Outer automorphisms :: reflexible
Dual of E28.2891
Transitivity :: ET+ VT+ AT
Graph::
	v = 30 e = 180 f = 96
	degree seq :: [ 12^30 ]

E28.2896 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 5, 6})
Quotient :: loop
Aut^+ = GL(2,4) (small group id <180, 19>)
Aut   = A5 x S3 (small group id <360, 121>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, T1^2 * T2 * T1^-2 * T2^-1, T1^6, T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1, (T2^-1 * T1^-1)^5 ]
Map:: polytopal non-degenerate
	R = (1, 181, 3, 183, 5, 185)(2, 182, 7, 187, 8, 188)(4, 184, 11, 191, 13, 193)(6, 186, 17, 197, 18, 198)(9, 189, 23, 203, 24, 204)(10, 190, 25, 205, 27, 207)(12, 192, 26, 206, 29, 209)(14, 194, 31, 211, 32, 212)(15, 195, 33, 213, 34, 214)(16, 196, 35, 215, 36, 216)(19, 199, 39, 219, 40, 220)(20, 200, 41, 221, 42, 222)(21, 201, 43, 223, 44, 224)(22, 202, 45, 225, 46, 226)(28, 208, 53, 233, 54, 234)(30, 210, 55, 235, 56, 236)(37, 217, 63, 243, 64, 244)(38, 218, 65, 245, 66, 246)(47, 227, 75, 255, 79, 259)(48, 228, 76, 256, 80, 260)(49, 229, 81, 261, 82, 262)(50, 230, 83, 263, 84, 264)(51, 231, 78, 258, 85, 265)(52, 232, 86, 266, 87, 267)(57, 237, 88, 268, 89, 269)(58, 238, 90, 270, 91, 271)(59, 239, 92, 272, 68, 248)(60, 240, 93, 273, 71, 251)(61, 241, 94, 274, 95, 275)(62, 242, 96, 276, 67, 247)(69, 249, 97, 277, 98, 278)(70, 250, 99, 279, 100, 280)(72, 252, 101, 281, 102, 282)(73, 253, 103, 283, 104, 284)(74, 254, 105, 285, 106, 286)(77, 257, 107, 287, 108, 288)(109, 289, 127, 307, 128, 308)(110, 290, 129, 309, 130, 310)(111, 291, 131, 311, 132, 312)(112, 292, 133, 313, 134, 314)(113, 293, 135, 315, 136, 316)(114, 294, 137, 317, 138, 318)(115, 295, 139, 319, 140, 320)(116, 296, 141, 321, 142, 322)(117, 297, 143, 323, 144, 324)(118, 298, 145, 325, 146, 326)(119, 299, 147, 327, 148, 328)(120, 300, 149, 329, 150, 330)(121, 301, 151, 331, 152, 332)(122, 302, 153, 333, 154, 334)(123, 303, 155, 335, 156, 336)(124, 304, 157, 337, 158, 338)(125, 305, 159, 339, 160, 340)(126, 306, 161, 341, 162, 342)(163, 343, 175, 355, 167, 347)(164, 344, 176, 356, 168, 348)(165, 345, 177, 357, 166, 346)(169, 349, 178, 358, 173, 353)(170, 350, 179, 359, 174, 354)(171, 351, 180, 360, 172, 352)
	L = (1, 182)(2, 186)(3, 189)(4, 181)(5, 194)(6, 196)(7, 199)(8, 201)(9, 197)(10, 183)(11, 200)(12, 184)(13, 202)(14, 198)(15, 185)(16, 192)(17, 217)(18, 218)(19, 215)(20, 187)(21, 216)(22, 188)(23, 227)(24, 229)(25, 228)(26, 190)(27, 230)(28, 191)(29, 195)(30, 193)(31, 237)(32, 239)(33, 238)(34, 240)(35, 208)(36, 210)(37, 206)(38, 209)(39, 247)(40, 249)(41, 248)(42, 250)(43, 253)(44, 255)(45, 254)(46, 256)(47, 243)(48, 203)(49, 244)(50, 204)(51, 205)(52, 207)(53, 251)(54, 252)(55, 257)(56, 258)(57, 245)(58, 211)(59, 246)(60, 212)(61, 213)(62, 214)(63, 231)(64, 232)(65, 241)(66, 242)(67, 233)(68, 219)(69, 234)(70, 220)(71, 221)(72, 222)(73, 235)(74, 223)(75, 236)(76, 224)(77, 225)(78, 226)(79, 289)(80, 290)(81, 292)(82, 268)(83, 293)(84, 270)(85, 291)(86, 294)(87, 274)(88, 267)(89, 295)(90, 262)(91, 296)(92, 298)(93, 299)(94, 264)(95, 297)(96, 300)(97, 301)(98, 283)(99, 302)(100, 285)(101, 303)(102, 287)(103, 282)(104, 304)(105, 278)(106, 305)(107, 280)(108, 306)(109, 265)(110, 259)(111, 260)(112, 266)(113, 261)(114, 263)(115, 275)(116, 269)(117, 271)(118, 276)(119, 272)(120, 273)(121, 281)(122, 277)(123, 279)(124, 288)(125, 284)(126, 286)(127, 342)(128, 313)(129, 338)(130, 315)(131, 340)(132, 317)(133, 312)(134, 343)(135, 308)(136, 344)(137, 310)(138, 345)(139, 346)(140, 325)(141, 347)(142, 327)(143, 348)(144, 329)(145, 324)(146, 333)(147, 320)(148, 335)(149, 322)(150, 331)(151, 328)(152, 349)(153, 330)(154, 350)(155, 326)(156, 351)(157, 352)(158, 307)(159, 353)(160, 309)(161, 354)(162, 311)(163, 318)(164, 314)(165, 316)(166, 323)(167, 319)(168, 321)(169, 336)(170, 332)(171, 334)(172, 341)(173, 337)(174, 339)(175, 358)(176, 359)(177, 360)(178, 357)(179, 355)(180, 356)
	local type(s) :: { ( 5, 6, 5, 6, 5, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2892
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 60 e = 180 f = 66
	degree seq :: [ 6^60 ]

E28.2897 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 6})
Quotient :: dipole
Aut^+ = GL(2,4) (small group id <180, 19>)
Aut   = A5 x S3 (small group id <360, 121>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y1^3, Y1 * Y3^-2, (R * Y3)^2, (R * Y1)^2, Y2^5, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y3^-1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1, Y3 * Y2^-2 * Y3 * Y2^-2 * Y1^-1 * Y2^-2, Y2 * Y1 * Y2^-2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y3 * Y2^2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y1 * Y2^-1 * Y3 * Y2^2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y2^-2 * Y1 * Y2^-1 * Y3 * Y2^-2 * Y3^-1 * Y2^-1 * Y1^-1, Y3 * Y2^-1 * Y1 * Y2^-2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-2, (Y3 * Y2^-1)^6, Y2^2 * Y3 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y3^-1 * Y2^-2 * Y1^-1 * Y2 * Y1^-1 ]
Map::
	R = (1, 181, 2, 182, 4, 184)(3, 183, 8, 188, 10, 190)(5, 185, 13, 193, 14, 194)(6, 186, 16, 196, 18, 198)(7, 187, 19, 199, 20, 200)(9, 189, 24, 204, 25, 205)(11, 191, 28, 208, 30, 210)(12, 192, 31, 211, 32, 212)(15, 195, 38, 218, 39, 219)(17, 197, 42, 222, 43, 223)(21, 201, 50, 230, 51, 231)(22, 202, 40, 220, 53, 233)(23, 203, 54, 234, 55, 235)(26, 206, 61, 241, 63, 243)(27, 207, 64, 244, 65, 245)(29, 209, 68, 248, 69, 249)(33, 213, 74, 254, 75, 255)(34, 214, 41, 221, 77, 257)(35, 215, 78, 258, 79, 259)(36, 216, 45, 225, 82, 262)(37, 217, 49, 229, 73, 253)(44, 224, 93, 273, 60, 240)(46, 226, 67, 247, 97, 277)(47, 227, 98, 278, 56, 236)(48, 228, 71, 251, 100, 280)(52, 232, 83, 263, 104, 284)(57, 237, 88, 268, 101, 281)(58, 238, 108, 288, 109, 289)(59, 239, 111, 291, 113, 293)(62, 242, 115, 295, 116, 296)(66, 246, 118, 298, 119, 299)(70, 250, 81, 261, 92, 272)(72, 252, 84, 264, 89, 269)(76, 256, 114, 294, 125, 305)(80, 260, 128, 308, 91, 271)(85, 265, 130, 310, 94, 274)(86, 266, 126, 306, 132, 312)(87, 267, 105, 285, 124, 304)(90, 270, 133, 313, 129, 309)(95, 275, 136, 316, 127, 307)(96, 276, 135, 315, 137, 317)(99, 279, 140, 320, 121, 301)(102, 282, 142, 322, 122, 302)(103, 283, 138, 318, 144, 324)(106, 286, 145, 325, 110, 290)(107, 287, 117, 297, 147, 327)(112, 292, 150, 330, 151, 331)(120, 300, 156, 336, 141, 321)(123, 303, 157, 337, 139, 319)(131, 311, 148, 328, 158, 338)(134, 314, 163, 343, 164, 344)(143, 323, 162, 342, 165, 345)(146, 326, 166, 346, 154, 334)(149, 329, 152, 332, 161, 341)(153, 333, 174, 354, 169, 349)(155, 335, 175, 355, 168, 348)(159, 339, 167, 347, 160, 340)(170, 350, 180, 360, 172, 352)(171, 351, 179, 359, 177, 357)(173, 353, 178, 358, 176, 356)(361, 541, 363, 543, 369, 549, 375, 555, 365, 545)(362, 542, 366, 546, 377, 557, 381, 561, 367, 547)(364, 544, 371, 551, 389, 569, 393, 573, 372, 552)(368, 548, 382, 562, 412, 592, 416, 596, 383, 563)(370, 550, 386, 566, 422, 602, 426, 606, 387, 567)(373, 553, 394, 574, 436, 616, 440, 620, 395, 575)(374, 554, 396, 576, 441, 621, 443, 623, 397, 577)(376, 556, 400, 580, 448, 628, 449, 629, 401, 581)(378, 558, 404, 584, 454, 634, 455, 635, 405, 585)(379, 559, 406, 586, 456, 636, 459, 639, 407, 587)(380, 560, 408, 588, 421, 601, 461, 641, 409, 589)(384, 564, 417, 597, 435, 615, 470, 650, 418, 598)(385, 565, 419, 599, 472, 652, 474, 654, 420, 600)(388, 568, 413, 593, 465, 645, 439, 619, 427, 607)(390, 570, 430, 610, 482, 662, 483, 663, 431, 611)(391, 571, 415, 595, 467, 647, 471, 651, 432, 612)(392, 572, 425, 605, 453, 633, 484, 664, 433, 613)(398, 578, 444, 624, 479, 659, 491, 671, 445, 625)(399, 579, 446, 626, 450, 630, 402, 582, 447, 627)(403, 583, 451, 631, 494, 674, 495, 675, 452, 632)(410, 590, 438, 618, 487, 667, 503, 683, 462, 642)(411, 591, 463, 643, 480, 660, 428, 608, 464, 644)(414, 594, 460, 640, 501, 681, 506, 686, 466, 646)(423, 603, 429, 609, 481, 661, 515, 695, 477, 657)(424, 604, 469, 649, 509, 689, 486, 666, 437, 617)(434, 614, 458, 638, 499, 679, 513, 693, 475, 655)(442, 622, 489, 669, 520, 700, 498, 678, 457, 637)(468, 648, 507, 687, 529, 709, 530, 710, 508, 688)(473, 653, 476, 656, 514, 694, 533, 713, 512, 692)(478, 658, 505, 685, 528, 708, 531, 711, 510, 690)(485, 665, 518, 698, 536, 716, 522, 702, 493, 673)(488, 668, 490, 670, 521, 701, 537, 717, 519, 699)(492, 672, 511, 691, 532, 712, 523, 703, 496, 676)(497, 677, 525, 705, 539, 719, 534, 714, 516, 696)(500, 680, 502, 682, 527, 707, 540, 720, 526, 706)(504, 684, 524, 704, 538, 718, 535, 715, 517, 697)
	L = (1, 364)(2, 361)(3, 370)(4, 362)(5, 374)(6, 378)(7, 380)(8, 363)(9, 385)(10, 368)(11, 390)(12, 392)(13, 365)(14, 373)(15, 399)(16, 366)(17, 403)(18, 376)(19, 367)(20, 379)(21, 411)(22, 413)(23, 415)(24, 369)(25, 384)(26, 423)(27, 425)(28, 371)(29, 429)(30, 388)(31, 372)(32, 391)(33, 435)(34, 437)(35, 439)(36, 442)(37, 433)(38, 375)(39, 398)(40, 382)(41, 394)(42, 377)(43, 402)(44, 420)(45, 396)(46, 457)(47, 416)(48, 460)(49, 397)(50, 381)(51, 410)(52, 464)(53, 400)(54, 383)(55, 414)(56, 458)(57, 461)(58, 469)(59, 473)(60, 453)(61, 386)(62, 476)(63, 421)(64, 387)(65, 424)(66, 479)(67, 406)(68, 389)(69, 428)(70, 452)(71, 408)(72, 449)(73, 409)(74, 393)(75, 434)(76, 485)(77, 401)(78, 395)(79, 438)(80, 451)(81, 430)(82, 405)(83, 412)(84, 432)(85, 454)(86, 492)(87, 484)(88, 417)(89, 444)(90, 489)(91, 488)(92, 441)(93, 404)(94, 490)(95, 487)(96, 497)(97, 427)(98, 407)(99, 481)(100, 431)(101, 448)(102, 482)(103, 504)(104, 443)(105, 447)(106, 470)(107, 507)(108, 418)(109, 468)(110, 505)(111, 419)(112, 511)(113, 471)(114, 436)(115, 422)(116, 475)(117, 467)(118, 426)(119, 478)(120, 501)(121, 500)(122, 502)(123, 499)(124, 465)(125, 474)(126, 446)(127, 496)(128, 440)(129, 493)(130, 445)(131, 518)(132, 486)(133, 450)(134, 524)(135, 456)(136, 455)(137, 495)(138, 463)(139, 517)(140, 459)(141, 516)(142, 462)(143, 525)(144, 498)(145, 466)(146, 514)(147, 477)(148, 491)(149, 521)(150, 472)(151, 510)(152, 509)(153, 529)(154, 526)(155, 528)(156, 480)(157, 483)(158, 508)(159, 520)(160, 527)(161, 512)(162, 503)(163, 494)(164, 523)(165, 522)(166, 506)(167, 519)(168, 535)(169, 534)(170, 532)(171, 537)(172, 540)(173, 536)(174, 513)(175, 515)(176, 538)(177, 539)(178, 533)(179, 531)(180, 530)(181, 541)(182, 542)(183, 543)(184, 544)(185, 545)(186, 546)(187, 547)(188, 548)(189, 549)(190, 550)(191, 551)(192, 552)(193, 553)(194, 554)(195, 555)(196, 556)(197, 557)(198, 558)(199, 559)(200, 560)(201, 561)(202, 562)(203, 563)(204, 564)(205, 565)(206, 566)(207, 567)(208, 568)(209, 569)(210, 570)(211, 571)(212, 572)(213, 573)(214, 574)(215, 575)(216, 576)(217, 577)(218, 578)(219, 579)(220, 580)(221, 581)(222, 582)(223, 583)(224, 584)(225, 585)(226, 586)(227, 587)(228, 588)(229, 589)(230, 590)(231, 591)(232, 592)(233, 593)(234, 594)(235, 595)(236, 596)(237, 597)(238, 598)(239, 599)(240, 600)(241, 601)(242, 602)(243, 603)(244, 604)(245, 605)(246, 606)(247, 607)(248, 608)(249, 609)(250, 610)(251, 611)(252, 612)(253, 613)(254, 614)(255, 615)(256, 616)(257, 617)(258, 618)(259, 619)(260, 620)(261, 621)(262, 622)(263, 623)(264, 624)(265, 625)(266, 626)(267, 627)(268, 628)(269, 629)(270, 630)(271, 631)(272, 632)(273, 633)(274, 634)(275, 635)(276, 636)(277, 637)(278, 638)(279, 639)(280, 640)(281, 641)(282, 642)(283, 643)(284, 644)(285, 645)(286, 646)(287, 647)(288, 648)(289, 649)(290, 650)(291, 651)(292, 652)(293, 653)(294, 654)(295, 655)(296, 656)(297, 657)(298, 658)(299, 659)(300, 660)(301, 661)(302, 662)(303, 663)(304, 664)(305, 665)(306, 666)(307, 667)(308, 668)(309, 669)(310, 670)(311, 671)(312, 672)(313, 673)(314, 674)(315, 675)(316, 676)(317, 677)(318, 678)(319, 679)(320, 680)(321, 681)(322, 682)(323, 683)(324, 684)(325, 685)(326, 686)(327, 687)(328, 688)(329, 689)(330, 690)(331, 691)(332, 692)(333, 693)(334, 694)(335, 695)(336, 696)(337, 697)(338, 698)(339, 699)(340, 700)(341, 701)(342, 702)(343, 703)(344, 704)(345, 705)(346, 706)(347, 707)(348, 708)(349, 709)(350, 710)(351, 711)(352, 712)(353, 713)(354, 714)(355, 715)(356, 716)(357, 717)(358, 718)(359, 719)(360, 720)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2900
Graph:: bipartite
	v = 96 e = 360 f = 210
	degree seq :: [ 6^60, 10^36 ]

E28.2898 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 6})
Quotient :: dipole
Aut^+ = GL(2,4) (small group id <180, 19>)
Aut   = A5 x S3 (small group id <360, 121>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^5, Y2 * Y1 * Y2^-2 * Y1^-1 * Y2, (Y2 * Y1^-1)^3, Y2^6, (Y3^-1 * Y1^-1)^3, Y1 * Y2^3 * Y1 * Y2 * Y1 * Y2^-1, Y1^-1 * Y2^-1 * Y1^2 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-2 * Y2^-1 * Y1^-2 * Y2 ]
Map::
	R = (1, 181, 2, 182, 6, 186, 13, 193, 4, 184)(3, 183, 9, 189, 26, 206, 31, 211, 11, 191)(5, 185, 15, 195, 39, 219, 40, 220, 16, 196)(7, 187, 20, 200, 47, 227, 50, 230, 22, 202)(8, 188, 23, 203, 52, 232, 53, 233, 24, 204)(10, 190, 21, 201, 42, 222, 60, 240, 30, 210)(12, 192, 33, 213, 64, 244, 67, 247, 34, 214)(14, 194, 37, 217, 72, 252, 57, 237, 27, 207)(17, 197, 25, 205, 46, 226, 71, 251, 38, 218)(18, 198, 41, 221, 75, 255, 78, 258, 43, 223)(19, 199, 44, 224, 80, 260, 81, 261, 45, 225)(28, 208, 58, 238, 96, 276, 97, 277, 59, 239)(29, 209, 56, 236, 91, 271, 84, 264, 48, 228)(32, 212, 63, 243, 101, 281, 76, 256, 49, 229)(35, 215, 68, 248, 106, 286, 108, 288, 69, 249)(36, 216, 70, 250, 109, 289, 104, 284, 65, 245)(51, 231, 87, 267, 124, 304, 107, 287, 77, 257)(54, 234, 90, 270, 127, 307, 128, 308, 92, 272)(55, 235, 93, 273, 129, 309, 130, 310, 94, 274)(61, 241, 99, 279, 132, 312, 120, 300, 82, 262)(62, 242, 100, 280, 133, 313, 121, 301, 83, 263)(66, 246, 98, 278, 79, 259, 117, 297, 105, 285)(73, 253, 95, 275, 131, 311, 143, 323, 111, 291)(74, 254, 112, 292, 144, 324, 125, 305, 88, 268)(85, 265, 122, 302, 151, 331, 145, 325, 113, 293)(86, 266, 123, 303, 152, 332, 146, 326, 114, 294)(89, 269, 126, 306, 153, 333, 149, 329, 118, 298)(102, 282, 134, 314, 160, 340, 161, 341, 135, 315)(103, 283, 136, 316, 162, 342, 163, 343, 137, 317)(110, 290, 138, 318, 164, 344, 168, 348, 142, 322)(115, 295, 147, 327, 169, 349, 165, 345, 139, 319)(116, 296, 148, 328, 170, 350, 166, 346, 140, 320)(119, 299, 150, 330, 171, 351, 167, 347, 141, 321)(154, 334, 175, 355, 178, 358, 172, 352, 157, 337)(155, 335, 176, 356, 179, 359, 173, 353, 158, 338)(156, 336, 177, 357, 180, 360, 174, 354, 159, 339)(361, 541, 363, 543, 370, 550, 389, 569, 377, 557, 365, 545)(362, 542, 367, 547, 381, 561, 409, 589, 385, 565, 368, 548)(364, 544, 372, 552, 390, 570, 418, 598, 398, 578, 374, 554)(366, 546, 378, 558, 402, 582, 437, 617, 406, 586, 379, 559)(369, 549, 387, 567, 416, 596, 394, 574, 375, 555, 388, 568)(371, 551, 383, 563, 408, 588, 380, 560, 376, 556, 392, 572)(373, 553, 395, 575, 420, 600, 458, 638, 431, 611, 396, 576)(382, 562, 404, 584, 436, 616, 401, 581, 384, 564, 411, 591)(386, 566, 414, 594, 451, 631, 433, 613, 399, 579, 415, 595)(391, 571, 421, 601, 444, 624, 434, 614, 400, 580, 422, 602)(393, 573, 425, 605, 456, 636, 429, 609, 397, 577, 426, 606)(403, 583, 430, 610, 467, 647, 428, 608, 405, 585, 439, 619)(407, 587, 442, 622, 423, 603, 448, 628, 412, 592, 443, 623)(410, 590, 445, 625, 461, 641, 449, 629, 413, 593, 446, 626)(417, 597, 453, 633, 427, 607, 450, 630, 419, 599, 455, 635)(424, 604, 462, 642, 457, 637, 470, 650, 432, 612, 463, 643)(435, 615, 473, 653, 447, 627, 478, 658, 440, 620, 474, 654)(438, 618, 475, 655, 484, 664, 479, 659, 441, 621, 476, 656)(452, 632, 460, 640, 471, 651, 459, 639, 454, 634, 472, 652)(464, 644, 496, 676, 468, 648, 494, 674, 465, 645, 498, 678)(466, 646, 499, 679, 477, 657, 501, 681, 469, 649, 500, 680)(480, 660, 483, 663, 485, 665, 482, 662, 481, 661, 486, 666)(487, 667, 497, 677, 491, 671, 495, 675, 489, 669, 502, 682)(488, 668, 514, 694, 503, 683, 516, 696, 490, 670, 515, 695)(492, 672, 517, 697, 504, 684, 519, 699, 493, 673, 518, 698)(505, 685, 508, 688, 509, 689, 507, 687, 506, 686, 510, 690)(511, 691, 532, 712, 513, 693, 534, 714, 512, 692, 533, 713)(520, 700, 526, 706, 524, 704, 525, 705, 522, 702, 527, 707)(521, 701, 535, 715, 528, 708, 537, 717, 523, 703, 536, 716)(529, 709, 538, 718, 531, 711, 540, 720, 530, 710, 539, 719)
	L = (1, 363)(2, 367)(3, 370)(4, 372)(5, 361)(6, 378)(7, 381)(8, 362)(9, 387)(10, 389)(11, 383)(12, 390)(13, 395)(14, 364)(15, 388)(16, 392)(17, 365)(18, 402)(19, 366)(20, 376)(21, 409)(22, 404)(23, 408)(24, 411)(25, 368)(26, 414)(27, 416)(28, 369)(29, 377)(30, 418)(31, 421)(32, 371)(33, 425)(34, 375)(35, 420)(36, 373)(37, 426)(38, 374)(39, 415)(40, 422)(41, 384)(42, 437)(43, 430)(44, 436)(45, 439)(46, 379)(47, 442)(48, 380)(49, 385)(50, 445)(51, 382)(52, 443)(53, 446)(54, 451)(55, 386)(56, 394)(57, 453)(58, 398)(59, 455)(60, 458)(61, 444)(62, 391)(63, 448)(64, 462)(65, 456)(66, 393)(67, 450)(68, 405)(69, 397)(70, 467)(71, 396)(72, 463)(73, 399)(74, 400)(75, 473)(76, 401)(77, 406)(78, 475)(79, 403)(80, 474)(81, 476)(82, 423)(83, 407)(84, 434)(85, 461)(86, 410)(87, 478)(88, 412)(89, 413)(90, 419)(91, 433)(92, 460)(93, 427)(94, 472)(95, 417)(96, 429)(97, 470)(98, 431)(99, 454)(100, 471)(101, 449)(102, 457)(103, 424)(104, 496)(105, 498)(106, 499)(107, 428)(108, 494)(109, 500)(110, 432)(111, 459)(112, 452)(113, 447)(114, 435)(115, 484)(116, 438)(117, 501)(118, 440)(119, 441)(120, 483)(121, 486)(122, 481)(123, 485)(124, 479)(125, 482)(126, 480)(127, 497)(128, 514)(129, 502)(130, 515)(131, 495)(132, 517)(133, 518)(134, 465)(135, 489)(136, 468)(137, 491)(138, 464)(139, 477)(140, 466)(141, 469)(142, 487)(143, 516)(144, 519)(145, 508)(146, 510)(147, 506)(148, 509)(149, 507)(150, 505)(151, 532)(152, 533)(153, 534)(154, 503)(155, 488)(156, 490)(157, 504)(158, 492)(159, 493)(160, 526)(161, 535)(162, 527)(163, 536)(164, 525)(165, 522)(166, 524)(167, 520)(168, 537)(169, 538)(170, 539)(171, 540)(172, 513)(173, 511)(174, 512)(175, 528)(176, 521)(177, 523)(178, 531)(179, 529)(180, 530)(181, 541)(182, 542)(183, 543)(184, 544)(185, 545)(186, 546)(187, 547)(188, 548)(189, 549)(190, 550)(191, 551)(192, 552)(193, 553)(194, 554)(195, 555)(196, 556)(197, 557)(198, 558)(199, 559)(200, 560)(201, 561)(202, 562)(203, 563)(204, 564)(205, 565)(206, 566)(207, 567)(208, 568)(209, 569)(210, 570)(211, 571)(212, 572)(213, 573)(214, 574)(215, 575)(216, 576)(217, 577)(218, 578)(219, 579)(220, 580)(221, 581)(222, 582)(223, 583)(224, 584)(225, 585)(226, 586)(227, 587)(228, 588)(229, 589)(230, 590)(231, 591)(232, 592)(233, 593)(234, 594)(235, 595)(236, 596)(237, 597)(238, 598)(239, 599)(240, 600)(241, 601)(242, 602)(243, 603)(244, 604)(245, 605)(246, 606)(247, 607)(248, 608)(249, 609)(250, 610)(251, 611)(252, 612)(253, 613)(254, 614)(255, 615)(256, 616)(257, 617)(258, 618)(259, 619)(260, 620)(261, 621)(262, 622)(263, 623)(264, 624)(265, 625)(266, 626)(267, 627)(268, 628)(269, 629)(270, 630)(271, 631)(272, 632)(273, 633)(274, 634)(275, 635)(276, 636)(277, 637)(278, 638)(279, 639)(280, 640)(281, 641)(282, 642)(283, 643)(284, 644)(285, 645)(286, 646)(287, 647)(288, 648)(289, 649)(290, 650)(291, 651)(292, 652)(293, 653)(294, 654)(295, 655)(296, 656)(297, 657)(298, 658)(299, 659)(300, 660)(301, 661)(302, 662)(303, 663)(304, 664)(305, 665)(306, 666)(307, 667)(308, 668)(309, 669)(310, 670)(311, 671)(312, 672)(313, 673)(314, 674)(315, 675)(316, 676)(317, 677)(318, 678)(319, 679)(320, 680)(321, 681)(322, 682)(323, 683)(324, 684)(325, 685)(326, 686)(327, 687)(328, 688)(329, 689)(330, 690)(331, 691)(332, 692)(333, 693)(334, 694)(335, 695)(336, 696)(337, 697)(338, 698)(339, 699)(340, 700)(341, 701)(342, 702)(343, 703)(344, 704)(345, 705)(346, 706)(347, 707)(348, 708)(349, 709)(350, 710)(351, 711)(352, 712)(353, 713)(354, 714)(355, 715)(356, 716)(357, 717)(358, 718)(359, 719)(360, 720)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2899
Graph:: bipartite
	v = 66 e = 360 f = 240
	degree seq :: [ 10^36, 12^30 ]

E28.2899 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 6})
Quotient :: dipole
Aut^+ = GL(2,4) (small group id <180, 19>)
Aut   = A5 x S3 (small group id <360, 121>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^2 * Y2 * Y3^-2 * Y2^-1, Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, (Y3 * Y2^-1)^5, (Y3^-1 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 181)(2, 182)(3, 183)(4, 184)(5, 185)(6, 186)(7, 187)(8, 188)(9, 189)(10, 190)(11, 191)(12, 192)(13, 193)(14, 194)(15, 195)(16, 196)(17, 197)(18, 198)(19, 199)(20, 200)(21, 201)(22, 202)(23, 203)(24, 204)(25, 205)(26, 206)(27, 207)(28, 208)(29, 209)(30, 210)(31, 211)(32, 212)(33, 213)(34, 214)(35, 215)(36, 216)(37, 217)(38, 218)(39, 219)(40, 220)(41, 221)(42, 222)(43, 223)(44, 224)(45, 225)(46, 226)(47, 227)(48, 228)(49, 229)(50, 230)(51, 231)(52, 232)(53, 233)(54, 234)(55, 235)(56, 236)(57, 237)(58, 238)(59, 239)(60, 240)(61, 241)(62, 242)(63, 243)(64, 244)(65, 245)(66, 246)(67, 247)(68, 248)(69, 249)(70, 250)(71, 251)(72, 252)(73, 253)(74, 254)(75, 255)(76, 256)(77, 257)(78, 258)(79, 259)(80, 260)(81, 261)(82, 262)(83, 263)(84, 264)(85, 265)(86, 266)(87, 267)(88, 268)(89, 269)(90, 270)(91, 271)(92, 272)(93, 273)(94, 274)(95, 275)(96, 276)(97, 277)(98, 278)(99, 279)(100, 280)(101, 281)(102, 282)(103, 283)(104, 284)(105, 285)(106, 286)(107, 287)(108, 288)(109, 289)(110, 290)(111, 291)(112, 292)(113, 293)(114, 294)(115, 295)(116, 296)(117, 297)(118, 298)(119, 299)(120, 300)(121, 301)(122, 302)(123, 303)(124, 304)(125, 305)(126, 306)(127, 307)(128, 308)(129, 309)(130, 310)(131, 311)(132, 312)(133, 313)(134, 314)(135, 315)(136, 316)(137, 317)(138, 318)(139, 319)(140, 320)(141, 321)(142, 322)(143, 323)(144, 324)(145, 325)(146, 326)(147, 327)(148, 328)(149, 329)(150, 330)(151, 331)(152, 332)(153, 333)(154, 334)(155, 335)(156, 336)(157, 337)(158, 338)(159, 339)(160, 340)(161, 341)(162, 342)(163, 343)(164, 344)(165, 345)(166, 346)(167, 347)(168, 348)(169, 349)(170, 350)(171, 351)(172, 352)(173, 353)(174, 354)(175, 355)(176, 356)(177, 357)(178, 358)(179, 359)(180, 360)(361, 541, 362, 542, 364, 544)(363, 543, 368, 548, 370, 550)(365, 545, 373, 553, 374, 554)(366, 546, 376, 556, 378, 558)(367, 547, 379, 559, 380, 560)(369, 549, 377, 557, 385, 565)(371, 551, 388, 568, 389, 569)(372, 552, 390, 570, 391, 571)(375, 555, 381, 561, 392, 572)(382, 562, 402, 582, 404, 584)(383, 563, 405, 585, 406, 586)(384, 564, 403, 583, 407, 587)(386, 566, 409, 589, 410, 590)(387, 567, 411, 591, 412, 592)(393, 573, 419, 599, 420, 600)(394, 574, 421, 601, 422, 602)(395, 575, 423, 603, 425, 605)(396, 576, 426, 606, 427, 607)(397, 577, 424, 604, 428, 608)(398, 578, 429, 609, 430, 610)(399, 579, 431, 611, 432, 612)(400, 580, 433, 613, 434, 614)(401, 581, 435, 615, 436, 616)(408, 588, 443, 623, 444, 624)(413, 593, 448, 628, 449, 629)(414, 594, 450, 630, 451, 631)(415, 595, 452, 632, 437, 617)(416, 596, 453, 633, 438, 618)(417, 597, 454, 634, 455, 635)(418, 598, 456, 636, 441, 621)(439, 619, 463, 643, 464, 644)(440, 620, 465, 645, 466, 646)(442, 622, 467, 647, 468, 648)(445, 625, 469, 649, 470, 650)(446, 626, 471, 651, 472, 652)(447, 627, 473, 653, 474, 654)(457, 637, 481, 661, 482, 662)(458, 638, 483, 663, 484, 664)(459, 639, 485, 665, 486, 666)(460, 640, 487, 667, 488, 668)(461, 641, 489, 669, 490, 670)(462, 642, 491, 671, 492, 672)(475, 655, 499, 679, 500, 680)(476, 656, 501, 681, 502, 682)(477, 657, 503, 683, 504, 684)(478, 658, 505, 685, 506, 686)(479, 659, 507, 687, 508, 688)(480, 660, 509, 689, 510, 690)(493, 673, 517, 697, 518, 698)(494, 674, 519, 699, 520, 700)(495, 675, 521, 701, 522, 702)(496, 676, 523, 703, 513, 693)(497, 677, 524, 704, 511, 691)(498, 678, 525, 705, 512, 692)(514, 694, 529, 709, 528, 708)(515, 695, 530, 710, 526, 706)(516, 696, 531, 711, 527, 707)(532, 712, 538, 718, 537, 717)(533, 713, 539, 719, 535, 715)(534, 714, 540, 720, 536, 716)
	L = (1, 363)(2, 366)(3, 369)(4, 371)(5, 361)(6, 377)(7, 362)(8, 382)(9, 384)(10, 386)(11, 385)(12, 364)(13, 383)(14, 387)(15, 365)(16, 395)(17, 397)(18, 398)(19, 396)(20, 399)(21, 367)(22, 403)(23, 368)(24, 375)(25, 408)(26, 407)(27, 370)(28, 413)(29, 415)(30, 414)(31, 416)(32, 372)(33, 373)(34, 374)(35, 424)(36, 376)(37, 381)(38, 428)(39, 378)(40, 379)(41, 380)(42, 437)(43, 393)(44, 439)(45, 438)(46, 440)(47, 394)(48, 392)(49, 445)(50, 433)(51, 446)(52, 423)(53, 443)(54, 388)(55, 444)(56, 389)(57, 390)(58, 391)(59, 441)(60, 442)(61, 447)(62, 426)(63, 410)(64, 400)(65, 457)(66, 412)(67, 458)(68, 401)(69, 460)(70, 454)(71, 461)(72, 448)(73, 422)(74, 459)(75, 462)(76, 450)(77, 419)(78, 402)(79, 420)(80, 404)(81, 405)(82, 406)(83, 417)(84, 418)(85, 421)(86, 409)(87, 411)(88, 430)(89, 475)(90, 432)(91, 476)(92, 478)(93, 479)(94, 436)(95, 477)(96, 480)(97, 434)(98, 425)(99, 427)(100, 435)(101, 429)(102, 431)(103, 493)(104, 473)(105, 494)(106, 469)(107, 495)(108, 471)(109, 464)(110, 496)(111, 466)(112, 497)(113, 468)(114, 498)(115, 455)(116, 449)(117, 451)(118, 456)(119, 452)(120, 453)(121, 511)(122, 491)(123, 512)(124, 487)(125, 513)(126, 489)(127, 482)(128, 514)(129, 484)(130, 515)(131, 486)(132, 516)(133, 467)(134, 463)(135, 465)(136, 474)(137, 470)(138, 472)(139, 526)(140, 509)(141, 527)(142, 505)(143, 528)(144, 507)(145, 500)(146, 521)(147, 502)(148, 517)(149, 504)(150, 519)(151, 485)(152, 481)(153, 483)(154, 492)(155, 488)(156, 490)(157, 506)(158, 532)(159, 508)(160, 533)(161, 510)(162, 534)(163, 535)(164, 536)(165, 537)(166, 503)(167, 499)(168, 501)(169, 538)(170, 539)(171, 540)(172, 522)(173, 518)(174, 520)(175, 525)(176, 523)(177, 524)(178, 531)(179, 529)(180, 530)(181, 541)(182, 542)(183, 543)(184, 544)(185, 545)(186, 546)(187, 547)(188, 548)(189, 549)(190, 550)(191, 551)(192, 552)(193, 553)(194, 554)(195, 555)(196, 556)(197, 557)(198, 558)(199, 559)(200, 560)(201, 561)(202, 562)(203, 563)(204, 564)(205, 565)(206, 566)(207, 567)(208, 568)(209, 569)(210, 570)(211, 571)(212, 572)(213, 573)(214, 574)(215, 575)(216, 576)(217, 577)(218, 578)(219, 579)(220, 580)(221, 581)(222, 582)(223, 583)(224, 584)(225, 585)(226, 586)(227, 587)(228, 588)(229, 589)(230, 590)(231, 591)(232, 592)(233, 593)(234, 594)(235, 595)(236, 596)(237, 597)(238, 598)(239, 599)(240, 600)(241, 601)(242, 602)(243, 603)(244, 604)(245, 605)(246, 606)(247, 607)(248, 608)(249, 609)(250, 610)(251, 611)(252, 612)(253, 613)(254, 614)(255, 615)(256, 616)(257, 617)(258, 618)(259, 619)(260, 620)(261, 621)(262, 622)(263, 623)(264, 624)(265, 625)(266, 626)(267, 627)(268, 628)(269, 629)(270, 630)(271, 631)(272, 632)(273, 633)(274, 634)(275, 635)(276, 636)(277, 637)(278, 638)(279, 639)(280, 640)(281, 641)(282, 642)(283, 643)(284, 644)(285, 645)(286, 646)(287, 647)(288, 648)(289, 649)(290, 650)(291, 651)(292, 652)(293, 653)(294, 654)(295, 655)(296, 656)(297, 657)(298, 658)(299, 659)(300, 660)(301, 661)(302, 662)(303, 663)(304, 664)(305, 665)(306, 666)(307, 667)(308, 668)(309, 669)(310, 670)(311, 671)(312, 672)(313, 673)(314, 674)(315, 675)(316, 676)(317, 677)(318, 678)(319, 679)(320, 680)(321, 681)(322, 682)(323, 683)(324, 684)(325, 685)(326, 686)(327, 687)(328, 688)(329, 689)(330, 690)(331, 691)(332, 692)(333, 693)(334, 694)(335, 695)(336, 696)(337, 697)(338, 698)(339, 699)(340, 700)(341, 701)(342, 702)(343, 703)(344, 704)(345, 705)(346, 706)(347, 707)(348, 708)(349, 709)(350, 710)(351, 711)(352, 712)(353, 713)(354, 714)(355, 715)(356, 716)(357, 717)(358, 718)(359, 719)(360, 720)
	local type(s) :: { ( 10, 12 ), ( 10, 12, 10, 12, 10, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2898
Graph:: simple bipartite
	v = 240 e = 360 f = 66
	degree seq :: [ 2^180, 6^60 ]

E28.2900 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 6})
Quotient :: dipole
Aut^+ = GL(2,4) (small group id <180, 19>)
Aut   = A5 x S3 (small group id <360, 121>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^2 * Y3 * Y1^-2 * Y3^-1, (Y3 * Y2^-1)^3, Y1^6, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1, (Y3^-1 * Y1^-1)^5 ]
Map:: polytopal
	R = (1, 181, 2, 182, 6, 186, 16, 196, 12, 192, 4, 184)(3, 183, 9, 189, 17, 197, 37, 217, 26, 206, 10, 190)(5, 185, 14, 194, 18, 198, 38, 218, 29, 209, 15, 195)(7, 187, 19, 199, 35, 215, 28, 208, 11, 191, 20, 200)(8, 188, 21, 201, 36, 216, 30, 210, 13, 193, 22, 202)(23, 203, 47, 227, 63, 243, 51, 231, 25, 205, 48, 228)(24, 204, 49, 229, 64, 244, 52, 232, 27, 207, 50, 230)(31, 211, 57, 237, 65, 245, 61, 241, 33, 213, 58, 238)(32, 212, 59, 239, 66, 246, 62, 242, 34, 214, 60, 240)(39, 219, 67, 247, 53, 233, 71, 251, 41, 221, 68, 248)(40, 220, 69, 249, 54, 234, 72, 252, 42, 222, 70, 250)(43, 223, 73, 253, 55, 235, 77, 257, 45, 225, 74, 254)(44, 224, 75, 255, 56, 236, 78, 258, 46, 226, 76, 256)(79, 259, 109, 289, 85, 265, 111, 291, 80, 260, 110, 290)(81, 261, 112, 292, 86, 266, 114, 294, 83, 263, 113, 293)(82, 262, 88, 268, 87, 267, 94, 274, 84, 264, 90, 270)(89, 269, 115, 295, 95, 275, 117, 297, 91, 271, 116, 296)(92, 272, 118, 298, 96, 276, 120, 300, 93, 273, 119, 299)(97, 277, 121, 301, 101, 281, 123, 303, 99, 279, 122, 302)(98, 278, 103, 283, 102, 282, 107, 287, 100, 280, 105, 285)(104, 284, 124, 304, 108, 288, 126, 306, 106, 286, 125, 305)(127, 307, 162, 342, 131, 311, 160, 340, 129, 309, 158, 338)(128, 308, 133, 313, 132, 312, 137, 317, 130, 310, 135, 315)(134, 314, 163, 343, 138, 318, 165, 345, 136, 316, 164, 344)(139, 319, 166, 346, 143, 323, 168, 348, 141, 321, 167, 347)(140, 320, 145, 325, 144, 324, 149, 329, 142, 322, 147, 327)(146, 326, 153, 333, 150, 330, 151, 331, 148, 328, 155, 335)(152, 332, 169, 349, 156, 336, 171, 351, 154, 334, 170, 350)(157, 337, 172, 352, 161, 341, 174, 354, 159, 339, 173, 353)(175, 355, 178, 358, 177, 357, 180, 360, 176, 356, 179, 359)(361, 541)(362, 542)(363, 543)(364, 544)(365, 545)(366, 546)(367, 547)(368, 548)(369, 549)(370, 550)(371, 551)(372, 552)(373, 553)(374, 554)(375, 555)(376, 556)(377, 557)(378, 558)(379, 559)(380, 560)(381, 561)(382, 562)(383, 563)(384, 564)(385, 565)(386, 566)(387, 567)(388, 568)(389, 569)(390, 570)(391, 571)(392, 572)(393, 573)(394, 574)(395, 575)(396, 576)(397, 577)(398, 578)(399, 579)(400, 580)(401, 581)(402, 582)(403, 583)(404, 584)(405, 585)(406, 586)(407, 587)(408, 588)(409, 589)(410, 590)(411, 591)(412, 592)(413, 593)(414, 594)(415, 595)(416, 596)(417, 597)(418, 598)(419, 599)(420, 600)(421, 601)(422, 602)(423, 603)(424, 604)(425, 605)(426, 606)(427, 607)(428, 608)(429, 609)(430, 610)(431, 611)(432, 612)(433, 613)(434, 614)(435, 615)(436, 616)(437, 617)(438, 618)(439, 619)(440, 620)(441, 621)(442, 622)(443, 623)(444, 624)(445, 625)(446, 626)(447, 627)(448, 628)(449, 629)(450, 630)(451, 631)(452, 632)(453, 633)(454, 634)(455, 635)(456, 636)(457, 637)(458, 638)(459, 639)(460, 640)(461, 641)(462, 642)(463, 643)(464, 644)(465, 645)(466, 646)(467, 647)(468, 648)(469, 649)(470, 650)(471, 651)(472, 652)(473, 653)(474, 654)(475, 655)(476, 656)(477, 657)(478, 658)(479, 659)(480, 660)(481, 661)(482, 662)(483, 663)(484, 664)(485, 665)(486, 666)(487, 667)(488, 668)(489, 669)(490, 670)(491, 671)(492, 672)(493, 673)(494, 674)(495, 675)(496, 676)(497, 677)(498, 678)(499, 679)(500, 680)(501, 681)(502, 682)(503, 683)(504, 684)(505, 685)(506, 686)(507, 687)(508, 688)(509, 689)(510, 690)(511, 691)(512, 692)(513, 693)(514, 694)(515, 695)(516, 696)(517, 697)(518, 698)(519, 699)(520, 700)(521, 701)(522, 702)(523, 703)(524, 704)(525, 705)(526, 706)(527, 707)(528, 708)(529, 709)(530, 710)(531, 711)(532, 712)(533, 713)(534, 714)(535, 715)(536, 716)(537, 717)(538, 718)(539, 719)(540, 720)
	L = (1, 363)(2, 367)(3, 365)(4, 371)(5, 361)(6, 377)(7, 368)(8, 362)(9, 383)(10, 385)(11, 373)(12, 386)(13, 364)(14, 391)(15, 393)(16, 395)(17, 378)(18, 366)(19, 399)(20, 401)(21, 403)(22, 405)(23, 384)(24, 369)(25, 387)(26, 389)(27, 370)(28, 413)(29, 372)(30, 415)(31, 392)(32, 374)(33, 394)(34, 375)(35, 396)(36, 376)(37, 423)(38, 425)(39, 400)(40, 379)(41, 402)(42, 380)(43, 404)(44, 381)(45, 406)(46, 382)(47, 435)(48, 436)(49, 441)(50, 443)(51, 438)(52, 446)(53, 414)(54, 388)(55, 416)(56, 390)(57, 448)(58, 450)(59, 452)(60, 453)(61, 454)(62, 456)(63, 424)(64, 397)(65, 426)(66, 398)(67, 422)(68, 419)(69, 457)(70, 459)(71, 420)(72, 461)(73, 463)(74, 465)(75, 439)(76, 440)(77, 467)(78, 445)(79, 407)(80, 408)(81, 442)(82, 409)(83, 444)(84, 410)(85, 411)(86, 447)(87, 412)(88, 449)(89, 417)(90, 451)(91, 418)(92, 428)(93, 431)(94, 455)(95, 421)(96, 427)(97, 458)(98, 429)(99, 460)(100, 430)(101, 462)(102, 432)(103, 464)(104, 433)(105, 466)(106, 434)(107, 468)(108, 437)(109, 487)(110, 489)(111, 491)(112, 493)(113, 495)(114, 497)(115, 499)(116, 501)(117, 503)(118, 505)(119, 507)(120, 509)(121, 511)(122, 513)(123, 515)(124, 517)(125, 519)(126, 521)(127, 488)(128, 469)(129, 490)(130, 470)(131, 492)(132, 471)(133, 494)(134, 472)(135, 496)(136, 473)(137, 498)(138, 474)(139, 500)(140, 475)(141, 502)(142, 476)(143, 504)(144, 477)(145, 506)(146, 478)(147, 508)(148, 479)(149, 510)(150, 480)(151, 512)(152, 481)(153, 514)(154, 482)(155, 516)(156, 483)(157, 518)(158, 484)(159, 520)(160, 485)(161, 522)(162, 486)(163, 535)(164, 536)(165, 537)(166, 525)(167, 523)(168, 524)(169, 538)(170, 539)(171, 540)(172, 531)(173, 529)(174, 530)(175, 527)(176, 528)(177, 526)(178, 533)(179, 534)(180, 532)(181, 541)(182, 542)(183, 543)(184, 544)(185, 545)(186, 546)(187, 547)(188, 548)(189, 549)(190, 550)(191, 551)(192, 552)(193, 553)(194, 554)(195, 555)(196, 556)(197, 557)(198, 558)(199, 559)(200, 560)(201, 561)(202, 562)(203, 563)(204, 564)(205, 565)(206, 566)(207, 567)(208, 568)(209, 569)(210, 570)(211, 571)(212, 572)(213, 573)(214, 574)(215, 575)(216, 576)(217, 577)(218, 578)(219, 579)(220, 580)(221, 581)(222, 582)(223, 583)(224, 584)(225, 585)(226, 586)(227, 587)(228, 588)(229, 589)(230, 590)(231, 591)(232, 592)(233, 593)(234, 594)(235, 595)(236, 596)(237, 597)(238, 598)(239, 599)(240, 600)(241, 601)(242, 602)(243, 603)(244, 604)(245, 605)(246, 606)(247, 607)(248, 608)(249, 609)(250, 610)(251, 611)(252, 612)(253, 613)(254, 614)(255, 615)(256, 616)(257, 617)(258, 618)(259, 619)(260, 620)(261, 621)(262, 622)(263, 623)(264, 624)(265, 625)(266, 626)(267, 627)(268, 628)(269, 629)(270, 630)(271, 631)(272, 632)(273, 633)(274, 634)(275, 635)(276, 636)(277, 637)(278, 638)(279, 639)(280, 640)(281, 641)(282, 642)(283, 643)(284, 644)(285, 645)(286, 646)(287, 647)(288, 648)(289, 649)(290, 650)(291, 651)(292, 652)(293, 653)(294, 654)(295, 655)(296, 656)(297, 657)(298, 658)(299, 659)(300, 660)(301, 661)(302, 662)(303, 663)(304, 664)(305, 665)(306, 666)(307, 667)(308, 668)(309, 669)(310, 670)(311, 671)(312, 672)(313, 673)(314, 674)(315, 675)(316, 676)(317, 677)(318, 678)(319, 679)(320, 680)(321, 681)(322, 682)(323, 683)(324, 684)(325, 685)(326, 686)(327, 687)(328, 688)(329, 689)(330, 690)(331, 691)(332, 692)(333, 693)(334, 694)(335, 695)(336, 696)(337, 697)(338, 698)(339, 699)(340, 700)(341, 701)(342, 702)(343, 703)(344, 704)(345, 705)(346, 706)(347, 707)(348, 708)(349, 709)(350, 710)(351, 711)(352, 712)(353, 713)(354, 714)(355, 715)(356, 716)(357, 717)(358, 718)(359, 719)(360, 720)
	local type(s) :: { ( 6, 10 ), ( 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10 ) }
Outer automorphisms :: reflexible
Dual of E28.2897
Graph:: simple bipartite
	v = 210 e = 360 f = 96
	degree seq :: [ 2^180, 12^30 ]

E28.2901 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 6})
Quotient :: dipole
Aut^+ = GL(2,4) (small group id <180, 19>)
Aut   = A5 x S3 (small group id <360, 121>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y1^2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3 * Y2^2 * Y3^-1 * Y2^-1, Y2^6, Y2^2 * Y1 * Y2^-2 * Y1^-1, Y2^2 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-2 * Y1 * Y2 * Y1^-1, Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1, (Y3 * Y2^-1)^5 ]
Map::
	R = (1, 181, 2, 182, 4, 184)(3, 183, 8, 188, 10, 190)(5, 185, 13, 193, 14, 194)(6, 186, 16, 196, 18, 198)(7, 187, 19, 199, 20, 200)(9, 189, 17, 197, 25, 205)(11, 191, 28, 208, 29, 209)(12, 192, 30, 210, 31, 211)(15, 195, 21, 201, 32, 212)(22, 202, 42, 222, 44, 224)(23, 203, 45, 225, 46, 226)(24, 204, 43, 223, 47, 227)(26, 206, 49, 229, 50, 230)(27, 207, 51, 231, 52, 232)(33, 213, 59, 239, 60, 240)(34, 214, 61, 241, 62, 242)(35, 215, 63, 243, 65, 245)(36, 216, 66, 246, 67, 247)(37, 217, 64, 244, 68, 248)(38, 218, 69, 249, 70, 250)(39, 219, 71, 251, 72, 252)(40, 220, 73, 253, 74, 254)(41, 221, 75, 255, 76, 256)(48, 228, 83, 263, 84, 264)(53, 233, 88, 268, 89, 269)(54, 234, 90, 270, 91, 271)(55, 235, 92, 272, 78, 258)(56, 236, 93, 273, 81, 261)(57, 237, 94, 274, 95, 275)(58, 238, 96, 276, 77, 257)(79, 259, 103, 283, 104, 284)(80, 260, 105, 285, 106, 286)(82, 262, 107, 287, 108, 288)(85, 265, 109, 289, 110, 290)(86, 266, 111, 291, 112, 292)(87, 267, 113, 293, 114, 294)(97, 277, 121, 301, 122, 302)(98, 278, 123, 303, 124, 304)(99, 279, 125, 305, 126, 306)(100, 280, 127, 307, 128, 308)(101, 281, 129, 309, 130, 310)(102, 282, 131, 311, 132, 312)(115, 295, 139, 319, 140, 320)(116, 296, 141, 321, 142, 322)(117, 297, 143, 323, 144, 324)(118, 298, 145, 325, 146, 326)(119, 299, 147, 327, 148, 328)(120, 300, 149, 329, 150, 330)(133, 313, 157, 337, 158, 338)(134, 314, 159, 339, 160, 340)(135, 315, 161, 341, 162, 342)(136, 316, 163, 343, 152, 332)(137, 317, 164, 344, 153, 333)(138, 318, 165, 345, 151, 331)(154, 334, 169, 349, 167, 347)(155, 335, 170, 350, 168, 348)(156, 336, 171, 351, 166, 346)(172, 352, 178, 358, 176, 356)(173, 353, 179, 359, 177, 357)(174, 354, 180, 360, 175, 355)(361, 541, 363, 543, 369, 549, 384, 564, 375, 555, 365, 545)(362, 542, 366, 546, 377, 557, 397, 577, 381, 561, 367, 547)(364, 544, 371, 551, 385, 565, 408, 588, 392, 572, 372, 552)(368, 548, 382, 562, 403, 583, 393, 573, 373, 553, 383, 563)(370, 550, 386, 566, 407, 587, 394, 574, 374, 554, 387, 567)(376, 556, 395, 575, 424, 604, 400, 580, 379, 559, 396, 576)(378, 558, 398, 578, 428, 608, 401, 581, 380, 560, 399, 579)(388, 568, 413, 593, 443, 623, 417, 597, 390, 570, 414, 594)(389, 569, 415, 595, 444, 624, 418, 598, 391, 571, 416, 596)(402, 582, 437, 617, 419, 599, 441, 621, 405, 585, 438, 618)(404, 584, 439, 619, 420, 600, 442, 622, 406, 586, 440, 620)(409, 589, 445, 625, 421, 601, 447, 627, 411, 591, 446, 626)(410, 590, 423, 603, 422, 602, 433, 613, 412, 592, 426, 606)(425, 605, 457, 637, 434, 614, 459, 639, 427, 607, 458, 638)(429, 609, 460, 640, 435, 615, 462, 642, 431, 611, 461, 641)(430, 610, 448, 628, 436, 616, 454, 634, 432, 612, 450, 630)(449, 629, 475, 655, 455, 635, 477, 657, 451, 631, 476, 656)(452, 632, 478, 658, 456, 636, 480, 660, 453, 633, 479, 659)(463, 643, 493, 673, 467, 647, 495, 675, 465, 645, 494, 674)(464, 644, 469, 649, 468, 648, 473, 653, 466, 646, 471, 651)(470, 650, 496, 676, 474, 654, 498, 678, 472, 652, 497, 677)(481, 661, 511, 691, 485, 665, 513, 693, 483, 663, 512, 692)(482, 662, 487, 667, 486, 666, 491, 671, 484, 664, 489, 669)(488, 668, 514, 694, 492, 672, 516, 696, 490, 670, 515, 695)(499, 679, 526, 706, 503, 683, 528, 708, 501, 681, 527, 707)(500, 680, 505, 685, 504, 684, 509, 689, 502, 682, 507, 687)(506, 686, 519, 699, 510, 690, 517, 697, 508, 688, 521, 701)(518, 698, 532, 712, 522, 702, 534, 714, 520, 700, 533, 713)(523, 703, 535, 715, 525, 705, 537, 717, 524, 704, 536, 716)(529, 709, 538, 718, 531, 711, 540, 720, 530, 710, 539, 719)
	L = (1, 364)(2, 361)(3, 370)(4, 362)(5, 374)(6, 378)(7, 380)(8, 363)(9, 385)(10, 368)(11, 389)(12, 391)(13, 365)(14, 373)(15, 392)(16, 366)(17, 369)(18, 376)(19, 367)(20, 379)(21, 375)(22, 404)(23, 406)(24, 407)(25, 377)(26, 410)(27, 412)(28, 371)(29, 388)(30, 372)(31, 390)(32, 381)(33, 420)(34, 422)(35, 425)(36, 427)(37, 428)(38, 430)(39, 432)(40, 434)(41, 436)(42, 382)(43, 384)(44, 402)(45, 383)(46, 405)(47, 403)(48, 444)(49, 386)(50, 409)(51, 387)(52, 411)(53, 449)(54, 451)(55, 438)(56, 441)(57, 455)(58, 437)(59, 393)(60, 419)(61, 394)(62, 421)(63, 395)(64, 397)(65, 423)(66, 396)(67, 426)(68, 424)(69, 398)(70, 429)(71, 399)(72, 431)(73, 400)(74, 433)(75, 401)(76, 435)(77, 456)(78, 452)(79, 464)(80, 466)(81, 453)(82, 468)(83, 408)(84, 443)(85, 470)(86, 472)(87, 474)(88, 413)(89, 448)(90, 414)(91, 450)(92, 415)(93, 416)(94, 417)(95, 454)(96, 418)(97, 482)(98, 484)(99, 486)(100, 488)(101, 490)(102, 492)(103, 439)(104, 463)(105, 440)(106, 465)(107, 442)(108, 467)(109, 445)(110, 469)(111, 446)(112, 471)(113, 447)(114, 473)(115, 500)(116, 502)(117, 504)(118, 506)(119, 508)(120, 510)(121, 457)(122, 481)(123, 458)(124, 483)(125, 459)(126, 485)(127, 460)(128, 487)(129, 461)(130, 489)(131, 462)(132, 491)(133, 518)(134, 520)(135, 522)(136, 512)(137, 513)(138, 511)(139, 475)(140, 499)(141, 476)(142, 501)(143, 477)(144, 503)(145, 478)(146, 505)(147, 479)(148, 507)(149, 480)(150, 509)(151, 525)(152, 523)(153, 524)(154, 527)(155, 528)(156, 526)(157, 493)(158, 517)(159, 494)(160, 519)(161, 495)(162, 521)(163, 496)(164, 497)(165, 498)(166, 531)(167, 529)(168, 530)(169, 514)(170, 515)(171, 516)(172, 536)(173, 537)(174, 535)(175, 540)(176, 538)(177, 539)(178, 532)(179, 533)(180, 534)(181, 541)(182, 542)(183, 543)(184, 544)(185, 545)(186, 546)(187, 547)(188, 548)(189, 549)(190, 550)(191, 551)(192, 552)(193, 553)(194, 554)(195, 555)(196, 556)(197, 557)(198, 558)(199, 559)(200, 560)(201, 561)(202, 562)(203, 563)(204, 564)(205, 565)(206, 566)(207, 567)(208, 568)(209, 569)(210, 570)(211, 571)(212, 572)(213, 573)(214, 574)(215, 575)(216, 576)(217, 577)(218, 578)(219, 579)(220, 580)(221, 581)(222, 582)(223, 583)(224, 584)(225, 585)(226, 586)(227, 587)(228, 588)(229, 589)(230, 590)(231, 591)(232, 592)(233, 593)(234, 594)(235, 595)(236, 596)(237, 597)(238, 598)(239, 599)(240, 600)(241, 601)(242, 602)(243, 603)(244, 604)(245, 605)(246, 606)(247, 607)(248, 608)(249, 609)(250, 610)(251, 611)(252, 612)(253, 613)(254, 614)(255, 615)(256, 616)(257, 617)(258, 618)(259, 619)(260, 620)(261, 621)(262, 622)(263, 623)(264, 624)(265, 625)(266, 626)(267, 627)(268, 628)(269, 629)(270, 630)(271, 631)(272, 632)(273, 633)(274, 634)(275, 635)(276, 636)(277, 637)(278, 638)(279, 639)(280, 640)(281, 641)(282, 642)(283, 643)(284, 644)(285, 645)(286, 646)(287, 647)(288, 648)(289, 649)(290, 650)(291, 651)(292, 652)(293, 653)(294, 654)(295, 655)(296, 656)(297, 657)(298, 658)(299, 659)(300, 660)(301, 661)(302, 662)(303, 663)(304, 664)(305, 665)(306, 666)(307, 667)(308, 668)(309, 669)(310, 670)(311, 671)(312, 672)(313, 673)(314, 674)(315, 675)(316, 676)(317, 677)(318, 678)(319, 679)(320, 680)(321, 681)(322, 682)(323, 683)(324, 684)(325, 685)(326, 686)(327, 687)(328, 688)(329, 689)(330, 690)(331, 691)(332, 692)(333, 693)(334, 694)(335, 695)(336, 696)(337, 697)(338, 698)(339, 699)(340, 700)(341, 701)(342, 702)(343, 703)(344, 704)(345, 705)(346, 706)(347, 707)(348, 708)(349, 709)(350, 710)(351, 711)(352, 712)(353, 713)(354, 714)(355, 715)(356, 716)(357, 717)(358, 718)(359, 719)(360, 720)
	local type(s) :: { ( 2, 10, 2, 10, 2, 10 ), ( 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10 ) }
Outer automorphisms :: reflexible
Dual of E28.2902
Graph:: bipartite
	v = 90 e = 360 f = 216
	degree seq :: [ 6^60, 12^30 ]

E28.2902 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 6})
Quotient :: dipole
Aut^+ = GL(2,4) (small group id <180, 19>)
Aut   = A5 x S3 (small group id <360, 121>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y1^5, Y3^6, (R * Y2 * Y3^-1)^2, (Y3 * Y1^-1)^3, (Y3^-1 * Y1^-1)^3, Y3^-2 * Y1^-1 * Y3^2 * Y1, Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^3, (Y3 * Y2^-1)^6 ]
Map:: polytopal
	R = (1, 181, 2, 182, 6, 186, 13, 193, 4, 184)(3, 183, 9, 189, 26, 206, 31, 211, 11, 191)(5, 185, 15, 195, 39, 219, 40, 220, 16, 196)(7, 187, 20, 200, 47, 227, 50, 230, 22, 202)(8, 188, 23, 203, 52, 232, 53, 233, 24, 204)(10, 190, 21, 201, 42, 222, 60, 240, 30, 210)(12, 192, 33, 213, 64, 244, 67, 247, 34, 214)(14, 194, 37, 217, 72, 252, 57, 237, 27, 207)(17, 197, 25, 205, 46, 226, 71, 251, 38, 218)(18, 198, 41, 221, 75, 255, 78, 258, 43, 223)(19, 199, 44, 224, 80, 260, 81, 261, 45, 225)(28, 208, 58, 238, 96, 276, 97, 277, 59, 239)(29, 209, 56, 236, 91, 271, 84, 264, 48, 228)(32, 212, 63, 243, 101, 281, 76, 256, 49, 229)(35, 215, 68, 248, 106, 286, 108, 288, 69, 249)(36, 216, 70, 250, 109, 289, 104, 284, 65, 245)(51, 231, 87, 267, 124, 304, 107, 287, 77, 257)(54, 234, 90, 270, 127, 307, 128, 308, 92, 272)(55, 235, 93, 273, 129, 309, 130, 310, 94, 274)(61, 241, 99, 279, 132, 312, 120, 300, 82, 262)(62, 242, 100, 280, 133, 313, 121, 301, 83, 263)(66, 246, 98, 278, 79, 259, 117, 297, 105, 285)(73, 253, 95, 275, 131, 311, 143, 323, 111, 291)(74, 254, 112, 292, 144, 324, 125, 305, 88, 268)(85, 265, 122, 302, 151, 331, 145, 325, 113, 293)(86, 266, 123, 303, 152, 332, 146, 326, 114, 294)(89, 269, 126, 306, 153, 333, 149, 329, 118, 298)(102, 282, 134, 314, 160, 340, 161, 341, 135, 315)(103, 283, 136, 316, 162, 342, 163, 343, 137, 317)(110, 290, 138, 318, 164, 344, 168, 348, 142, 322)(115, 295, 147, 327, 169, 349, 165, 345, 139, 319)(116, 296, 148, 328, 170, 350, 166, 346, 140, 320)(119, 299, 150, 330, 171, 351, 167, 347, 141, 321)(154, 334, 175, 355, 178, 358, 172, 352, 157, 337)(155, 335, 176, 356, 179, 359, 173, 353, 158, 338)(156, 336, 177, 357, 180, 360, 174, 354, 159, 339)(361, 541)(362, 542)(363, 543)(364, 544)(365, 545)(366, 546)(367, 547)(368, 548)(369, 549)(370, 550)(371, 551)(372, 552)(373, 553)(374, 554)(375, 555)(376, 556)(377, 557)(378, 558)(379, 559)(380, 560)(381, 561)(382, 562)(383, 563)(384, 564)(385, 565)(386, 566)(387, 567)(388, 568)(389, 569)(390, 570)(391, 571)(392, 572)(393, 573)(394, 574)(395, 575)(396, 576)(397, 577)(398, 578)(399, 579)(400, 580)(401, 581)(402, 582)(403, 583)(404, 584)(405, 585)(406, 586)(407, 587)(408, 588)(409, 589)(410, 590)(411, 591)(412, 592)(413, 593)(414, 594)(415, 595)(416, 596)(417, 597)(418, 598)(419, 599)(420, 600)(421, 601)(422, 602)(423, 603)(424, 604)(425, 605)(426, 606)(427, 607)(428, 608)(429, 609)(430, 610)(431, 611)(432, 612)(433, 613)(434, 614)(435, 615)(436, 616)(437, 617)(438, 618)(439, 619)(440, 620)(441, 621)(442, 622)(443, 623)(444, 624)(445, 625)(446, 626)(447, 627)(448, 628)(449, 629)(450, 630)(451, 631)(452, 632)(453, 633)(454, 634)(455, 635)(456, 636)(457, 637)(458, 638)(459, 639)(460, 640)(461, 641)(462, 642)(463, 643)(464, 644)(465, 645)(466, 646)(467, 647)(468, 648)(469, 649)(470, 650)(471, 651)(472, 652)(473, 653)(474, 654)(475, 655)(476, 656)(477, 657)(478, 658)(479, 659)(480, 660)(481, 661)(482, 662)(483, 663)(484, 664)(485, 665)(486, 666)(487, 667)(488, 668)(489, 669)(490, 670)(491, 671)(492, 672)(493, 673)(494, 674)(495, 675)(496, 676)(497, 677)(498, 678)(499, 679)(500, 680)(501, 681)(502, 682)(503, 683)(504, 684)(505, 685)(506, 686)(507, 687)(508, 688)(509, 689)(510, 690)(511, 691)(512, 692)(513, 693)(514, 694)(515, 695)(516, 696)(517, 697)(518, 698)(519, 699)(520, 700)(521, 701)(522, 702)(523, 703)(524, 704)(525, 705)(526, 706)(527, 707)(528, 708)(529, 709)(530, 710)(531, 711)(532, 712)(533, 713)(534, 714)(535, 715)(536, 716)(537, 717)(538, 718)(539, 719)(540, 720)
	L = (1, 363)(2, 367)(3, 370)(4, 372)(5, 361)(6, 378)(7, 381)(8, 362)(9, 387)(10, 389)(11, 383)(12, 390)(13, 395)(14, 364)(15, 388)(16, 392)(17, 365)(18, 402)(19, 366)(20, 376)(21, 409)(22, 404)(23, 408)(24, 411)(25, 368)(26, 414)(27, 416)(28, 369)(29, 377)(30, 418)(31, 421)(32, 371)(33, 425)(34, 375)(35, 420)(36, 373)(37, 426)(38, 374)(39, 415)(40, 422)(41, 384)(42, 437)(43, 430)(44, 436)(45, 439)(46, 379)(47, 442)(48, 380)(49, 385)(50, 445)(51, 382)(52, 443)(53, 446)(54, 451)(55, 386)(56, 394)(57, 453)(58, 398)(59, 455)(60, 458)(61, 444)(62, 391)(63, 448)(64, 462)(65, 456)(66, 393)(67, 450)(68, 405)(69, 397)(70, 467)(71, 396)(72, 463)(73, 399)(74, 400)(75, 473)(76, 401)(77, 406)(78, 475)(79, 403)(80, 474)(81, 476)(82, 423)(83, 407)(84, 434)(85, 461)(86, 410)(87, 478)(88, 412)(89, 413)(90, 419)(91, 433)(92, 460)(93, 427)(94, 472)(95, 417)(96, 429)(97, 470)(98, 431)(99, 454)(100, 471)(101, 449)(102, 457)(103, 424)(104, 496)(105, 498)(106, 499)(107, 428)(108, 494)(109, 500)(110, 432)(111, 459)(112, 452)(113, 447)(114, 435)(115, 484)(116, 438)(117, 501)(118, 440)(119, 441)(120, 483)(121, 486)(122, 481)(123, 485)(124, 479)(125, 482)(126, 480)(127, 497)(128, 514)(129, 502)(130, 515)(131, 495)(132, 517)(133, 518)(134, 465)(135, 489)(136, 468)(137, 491)(138, 464)(139, 477)(140, 466)(141, 469)(142, 487)(143, 516)(144, 519)(145, 508)(146, 510)(147, 506)(148, 509)(149, 507)(150, 505)(151, 532)(152, 533)(153, 534)(154, 503)(155, 488)(156, 490)(157, 504)(158, 492)(159, 493)(160, 526)(161, 535)(162, 527)(163, 536)(164, 525)(165, 522)(166, 524)(167, 520)(168, 537)(169, 538)(170, 539)(171, 540)(172, 513)(173, 511)(174, 512)(175, 528)(176, 521)(177, 523)(178, 531)(179, 529)(180, 530)(181, 541)(182, 542)(183, 543)(184, 544)(185, 545)(186, 546)(187, 547)(188, 548)(189, 549)(190, 550)(191, 551)(192, 552)(193, 553)(194, 554)(195, 555)(196, 556)(197, 557)(198, 558)(199, 559)(200, 560)(201, 561)(202, 562)(203, 563)(204, 564)(205, 565)(206, 566)(207, 567)(208, 568)(209, 569)(210, 570)(211, 571)(212, 572)(213, 573)(214, 574)(215, 575)(216, 576)(217, 577)(218, 578)(219, 579)(220, 580)(221, 581)(222, 582)(223, 583)(224, 584)(225, 585)(226, 586)(227, 587)(228, 588)(229, 589)(230, 590)(231, 591)(232, 592)(233, 593)(234, 594)(235, 595)(236, 596)(237, 597)(238, 598)(239, 599)(240, 600)(241, 601)(242, 602)(243, 603)(244, 604)(245, 605)(246, 606)(247, 607)(248, 608)(249, 609)(250, 610)(251, 611)(252, 612)(253, 613)(254, 614)(255, 615)(256, 616)(257, 617)(258, 618)(259, 619)(260, 620)(261, 621)(262, 622)(263, 623)(264, 624)(265, 625)(266, 626)(267, 627)(268, 628)(269, 629)(270, 630)(271, 631)(272, 632)(273, 633)(274, 634)(275, 635)(276, 636)(277, 637)(278, 638)(279, 639)(280, 640)(281, 641)(282, 642)(283, 643)(284, 644)(285, 645)(286, 646)(287, 647)(288, 648)(289, 649)(290, 650)(291, 651)(292, 652)(293, 653)(294, 654)(295, 655)(296, 656)(297, 657)(298, 658)(299, 659)(300, 660)(301, 661)(302, 662)(303, 663)(304, 664)(305, 665)(306, 666)(307, 667)(308, 668)(309, 669)(310, 670)(311, 671)(312, 672)(313, 673)(314, 674)(315, 675)(316, 676)(317, 677)(318, 678)(319, 679)(320, 680)(321, 681)(322, 682)(323, 683)(324, 684)(325, 685)(326, 686)(327, 687)(328, 688)(329, 689)(330, 690)(331, 691)(332, 692)(333, 693)(334, 694)(335, 695)(336, 696)(337, 697)(338, 698)(339, 699)(340, 700)(341, 701)(342, 702)(343, 703)(344, 704)(345, 705)(346, 706)(347, 707)(348, 708)(349, 709)(350, 710)(351, 711)(352, 712)(353, 713)(354, 714)(355, 715)(356, 716)(357, 717)(358, 718)(359, 719)(360, 720)
	local type(s) :: { ( 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2901
Graph:: simple bipartite
	v = 216 e = 360 f = 90
	degree seq :: [ 2^180, 10^36 ]

E28.2903 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 30})
Quotient :: regular
Aut^+ = C3 x S3 x D10 (small group id <180, 26>)
Aut   = S3 x S3 x D10 (small group id <360, 137>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1^2 * T2 * T1 * T2 * T1^-2 * T2 * T1^-1, T1^-3 * T2 * T1^2 * T2 * T1^-5, (T1^-1 * T2)^6 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 47, 85, 65, 32, 56, 94, 136, 169, 165, 120, 154, 107, 145, 174, 163, 117, 72, 37, 61, 97, 84, 46, 22, 10, 4)(3, 7, 15, 31, 63, 98, 54, 26, 12, 25, 51, 93, 140, 130, 83, 88, 48, 87, 132, 128, 80, 44, 21, 43, 79, 121, 74, 38, 18, 8)(6, 13, 27, 55, 99, 139, 92, 50, 24, 49, 89, 135, 129, 82, 45, 81, 86, 131, 127, 78, 42, 20, 9, 19, 39, 75, 106, 62, 30, 14)(16, 33, 52, 95, 133, 170, 157, 109, 64, 108, 141, 175, 164, 119, 73, 118, 144, 178, 162, 116, 71, 36, 17, 35, 53, 96, 134, 114, 68, 34)(28, 57, 90, 137, 168, 166, 122, 147, 100, 146, 171, 158, 126, 153, 105, 152, 173, 159, 125, 77, 41, 60, 29, 59, 91, 138, 124, 76, 40, 58)(66, 110, 155, 123, 167, 177, 143, 176, 142, 104, 150, 102, 149, 179, 160, 180, 151, 103, 148, 101, 70, 113, 67, 112, 156, 172, 161, 115, 69, 111)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 48)(25, 52)(26, 53)(27, 56)(30, 61)(31, 64)(33, 66)(34, 67)(35, 69)(36, 70)(38, 73)(39, 65)(42, 72)(43, 68)(44, 71)(46, 83)(47, 86)(49, 90)(50, 91)(51, 94)(54, 97)(55, 100)(57, 101)(58, 102)(59, 103)(60, 104)(62, 105)(63, 107)(74, 120)(75, 122)(76, 123)(77, 110)(78, 126)(79, 85)(80, 117)(81, 124)(82, 125)(84, 92)(87, 133)(88, 134)(89, 136)(93, 141)(95, 142)(96, 143)(98, 144)(99, 145)(106, 154)(108, 155)(109, 156)(111, 158)(112, 159)(113, 146)(114, 160)(115, 137)(116, 149)(118, 161)(119, 148)(121, 157)(127, 165)(128, 164)(129, 163)(130, 162)(131, 168)(132, 169)(135, 171)(138, 172)(139, 173)(140, 174)(147, 179)(150, 175)(151, 170)(152, 180)(153, 176)(166, 177)(167, 178)
	local type(s) :: { ( 6^30 ) }
Outer automorphisms :: reflexible
Dual of E28.2904
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 6 e = 90 f = 30
	degree seq :: [ 30^6 ]

E28.2904 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 30})
Quotient :: regular
Aut^+ = C3 x S3 x D10 (small group id <180, 26>)
Aut   = S3 x S3 x D10 (small group id <360, 137>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, T1^-1 * T2 * T1^-1 * T2 * T1^2 * T2 * T1 * T2 * T1^-1, T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1, (T1^-1 * T2)^30 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 29, 18, 8)(6, 13, 25, 48, 28, 14)(9, 19, 36, 64, 39, 20)(12, 23, 44, 73, 47, 24)(16, 31, 45, 75, 59, 32)(17, 33, 46, 76, 62, 34)(21, 40, 67, 96, 68, 41)(22, 42, 69, 97, 72, 43)(26, 50, 70, 65, 37, 51)(27, 52, 71, 66, 38, 53)(30, 49, 74, 98, 85, 56)(35, 54, 77, 99, 92, 63)(55, 83, 100, 125, 113, 84)(57, 86, 111, 90, 60, 87)(58, 88, 112, 91, 61, 89)(78, 103, 124, 120, 93, 104)(79, 105, 129, 109, 81, 106)(80, 107, 130, 110, 82, 108)(94, 121, 146, 123, 95, 122)(101, 126, 150, 128, 102, 127)(114, 137, 151, 141, 116, 138)(115, 139, 152, 142, 117, 140)(118, 143, 153, 145, 119, 144)(131, 154, 147, 158, 133, 155)(132, 156, 148, 159, 134, 157)(135, 160, 149, 162, 136, 161)(163, 177, 169, 176, 165, 180)(164, 174, 170, 172, 166, 178)(167, 175, 171, 173, 168, 179)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 35)(19, 37)(20, 38)(23, 45)(24, 46)(25, 49)(28, 54)(29, 55)(31, 57)(32, 58)(33, 60)(34, 61)(36, 56)(39, 63)(40, 59)(41, 62)(42, 70)(43, 71)(44, 74)(47, 77)(48, 78)(50, 79)(51, 80)(52, 81)(53, 82)(64, 93)(65, 94)(66, 95)(67, 85)(68, 92)(69, 98)(72, 99)(73, 100)(75, 101)(76, 102)(83, 111)(84, 112)(86, 114)(87, 115)(88, 116)(89, 117)(90, 118)(91, 119)(96, 113)(97, 124)(103, 129)(104, 130)(105, 131)(106, 132)(107, 133)(108, 134)(109, 135)(110, 136)(120, 146)(121, 147)(122, 148)(123, 149)(125, 150)(126, 151)(127, 152)(128, 153)(137, 163)(138, 164)(139, 165)(140, 166)(141, 167)(142, 168)(143, 169)(144, 170)(145, 171)(154, 172)(155, 173)(156, 174)(157, 175)(158, 176)(159, 177)(160, 178)(161, 179)(162, 180)
	local type(s) :: { ( 30^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2903
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 30 e = 90 f = 6
	degree seq :: [ 6^30 ]

E28.2905 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 30})
Quotient :: edge
Aut^+ = C3 x S3 x D10 (small group id <180, 26>)
Aut   = S3 x S3 x D10 (small group id <360, 137>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, T2^-1 * T1 * T2^2 * T1 * T2 * T1 * T2^-2 * T1, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 ]
Map:: polytopal
	R = (1, 3, 8, 18, 10, 4)(2, 5, 12, 25, 14, 6)(7, 15, 30, 57, 32, 16)(9, 19, 37, 65, 39, 20)(11, 22, 43, 71, 45, 23)(13, 26, 50, 79, 52, 27)(17, 33, 60, 90, 61, 34)(21, 40, 67, 96, 68, 41)(24, 46, 74, 104, 75, 47)(28, 53, 81, 110, 82, 54)(29, 55, 84, 64, 36, 56)(31, 58, 88, 66, 38, 59)(35, 62, 91, 119, 92, 63)(42, 69, 98, 78, 49, 70)(44, 72, 102, 80, 51, 73)(48, 76, 105, 132, 106, 77)(83, 111, 138, 117, 87, 112)(85, 113, 141, 118, 89, 114)(86, 115, 143, 122, 94, 116)(93, 120, 147, 123, 95, 121)(97, 124, 151, 130, 101, 125)(99, 126, 154, 131, 103, 127)(100, 128, 156, 135, 108, 129)(107, 133, 160, 136, 109, 134)(137, 163, 146, 167, 140, 164)(139, 165, 148, 168, 142, 166)(144, 169, 149, 171, 145, 170)(150, 172, 159, 176, 153, 173)(152, 174, 161, 177, 155, 175)(157, 178, 162, 180, 158, 179)(181, 182)(183, 187)(184, 189)(185, 191)(186, 193)(188, 197)(190, 201)(192, 204)(194, 208)(195, 209)(196, 211)(198, 215)(199, 216)(200, 218)(202, 222)(203, 224)(205, 228)(206, 229)(207, 231)(210, 226)(212, 233)(213, 223)(214, 230)(217, 227)(219, 234)(220, 225)(221, 232)(235, 263)(236, 265)(237, 266)(238, 267)(239, 269)(240, 254)(241, 261)(242, 264)(243, 268)(244, 273)(245, 274)(246, 275)(247, 255)(248, 262)(249, 277)(250, 279)(251, 280)(252, 281)(253, 283)(256, 278)(257, 282)(258, 287)(259, 288)(260, 289)(270, 285)(271, 284)(272, 290)(276, 286)(291, 317)(292, 319)(293, 320)(294, 322)(295, 318)(296, 321)(297, 324)(298, 325)(299, 323)(300, 326)(301, 328)(302, 327)(303, 329)(304, 330)(305, 332)(306, 333)(307, 335)(308, 331)(309, 334)(310, 337)(311, 338)(312, 336)(313, 339)(314, 341)(315, 340)(316, 342)(343, 357)(344, 360)(345, 354)(346, 358)(347, 356)(348, 352)(349, 355)(350, 359)(351, 353)
	L = (1, 181)(2, 182)(3, 183)(4, 184)(5, 185)(6, 186)(7, 187)(8, 188)(9, 189)(10, 190)(11, 191)(12, 192)(13, 193)(14, 194)(15, 195)(16, 196)(17, 197)(18, 198)(19, 199)(20, 200)(21, 201)(22, 202)(23, 203)(24, 204)(25, 205)(26, 206)(27, 207)(28, 208)(29, 209)(30, 210)(31, 211)(32, 212)(33, 213)(34, 214)(35, 215)(36, 216)(37, 217)(38, 218)(39, 219)(40, 220)(41, 221)(42, 222)(43, 223)(44, 224)(45, 225)(46, 226)(47, 227)(48, 228)(49, 229)(50, 230)(51, 231)(52, 232)(53, 233)(54, 234)(55, 235)(56, 236)(57, 237)(58, 238)(59, 239)(60, 240)(61, 241)(62, 242)(63, 243)(64, 244)(65, 245)(66, 246)(67, 247)(68, 248)(69, 249)(70, 250)(71, 251)(72, 252)(73, 253)(74, 254)(75, 255)(76, 256)(77, 257)(78, 258)(79, 259)(80, 260)(81, 261)(82, 262)(83, 263)(84, 264)(85, 265)(86, 266)(87, 267)(88, 268)(89, 269)(90, 270)(91, 271)(92, 272)(93, 273)(94, 274)(95, 275)(96, 276)(97, 277)(98, 278)(99, 279)(100, 280)(101, 281)(102, 282)(103, 283)(104, 284)(105, 285)(106, 286)(107, 287)(108, 288)(109, 289)(110, 290)(111, 291)(112, 292)(113, 293)(114, 294)(115, 295)(116, 296)(117, 297)(118, 298)(119, 299)(120, 300)(121, 301)(122, 302)(123, 303)(124, 304)(125, 305)(126, 306)(127, 307)(128, 308)(129, 309)(130, 310)(131, 311)(132, 312)(133, 313)(134, 314)(135, 315)(136, 316)(137, 317)(138, 318)(139, 319)(140, 320)(141, 321)(142, 322)(143, 323)(144, 324)(145, 325)(146, 326)(147, 327)(148, 328)(149, 329)(150, 330)(151, 331)(152, 332)(153, 333)(154, 334)(155, 335)(156, 336)(157, 337)(158, 338)(159, 339)(160, 340)(161, 341)(162, 342)(163, 343)(164, 344)(165, 345)(166, 346)(167, 347)(168, 348)(169, 349)(170, 350)(171, 351)(172, 352)(173, 353)(174, 354)(175, 355)(176, 356)(177, 357)(178, 358)(179, 359)(180, 360)
	local type(s) :: { ( 60, 60 ), ( 60^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2909
Transitivity :: ET+
Graph:: simple bipartite
	v = 120 e = 180 f = 6
	degree seq :: [ 2^90, 6^30 ]

E28.2906 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 30})
Quotient :: edge
Aut^+ = C3 x S3 x D10 (small group id <180, 26>)
Aut   = S3 x S3 x D10 (small group id <360, 137>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T2)^2, (F * T1)^2, T1^6, T2 * T1^-5 * T2 * T1, T2^-2 * T1^-2 * T2 * T1^-1 * T2^-1 * T1, T2^-1 * T1 * T2^-1 * T1^-1 * T2 * T1^-2 * T2^-1, T2^-2 * T1 * T2^-2 * T1 * T2^-1 * T1^3 * T2^-1 * T1, T2^6 * T1 * T2^-2 * T1^-1 * T2^2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 26, 61, 107, 142, 90, 47, 32, 66, 112, 148, 97, 152, 174, 145, 119, 137, 85, 52, 21, 51, 95, 150, 126, 76, 38, 15, 5)(2, 7, 19, 46, 91, 144, 104, 59, 25, 11, 28, 65, 114, 139, 125, 159, 106, 62, 109, 130, 86, 43, 37, 74, 123, 154, 98, 54, 22, 8)(4, 12, 31, 70, 118, 158, 105, 60, 27, 63, 111, 129, 120, 75, 124, 160, 108, 149, 94, 50, 36, 14, 35, 73, 122, 157, 103, 58, 24, 9)(6, 17, 41, 82, 134, 169, 141, 89, 45, 20, 48, 29, 67, 110, 153, 173, 143, 92, 146, 115, 131, 79, 53, 96, 151, 172, 140, 88, 44, 18)(13, 33, 64, 113, 161, 177, 163, 117, 71, 78, 128, 84, 136, 102, 156, 176, 164, 121, 72, 34, 57, 23, 56, 101, 155, 175, 162, 116, 69, 30)(16, 39, 77, 127, 165, 178, 167, 133, 81, 42, 83, 49, 93, 147, 171, 180, 168, 135, 100, 55, 99, 68, 87, 138, 170, 179, 166, 132, 80, 40)(181, 182, 186, 196, 193, 184)(183, 189, 203, 235, 209, 191)(185, 194, 214, 229, 200, 187)(188, 201, 230, 264, 222, 197)(190, 205, 221, 261, 244, 207)(192, 210, 248, 295, 245, 212)(195, 217, 224, 267, 249, 215)(198, 223, 265, 309, 258, 219)(199, 225, 257, 251, 211, 227)(202, 233, 260, 236, 204, 231)(206, 240, 281, 312, 290, 242)(208, 228, 263, 308, 291, 246)(213, 220, 259, 310, 292, 243)(216, 232, 266, 311, 279, 237)(218, 255, 301, 307, 269, 254)(226, 270, 253, 296, 327, 272)(234, 277, 329, 293, 313, 276)(238, 282, 315, 262, 239, 275)(241, 286, 314, 348, 341, 288)(247, 280, 316, 274, 328, 289)(250, 297, 318, 268, 319, 299)(252, 300, 317, 294, 326, 273)(256, 305, 320, 351, 342, 304)(271, 323, 345, 344, 298, 325)(278, 333, 346, 336, 283, 332)(284, 331, 347, 335, 285, 330)(287, 340, 355, 358, 353, 334)(302, 322, 303, 321, 350, 343)(306, 338, 356, 359, 349, 339)(324, 354, 337, 357, 360, 352)
	L = (1, 181)(2, 182)(3, 183)(4, 184)(5, 185)(6, 186)(7, 187)(8, 188)(9, 189)(10, 190)(11, 191)(12, 192)(13, 193)(14, 194)(15, 195)(16, 196)(17, 197)(18, 198)(19, 199)(20, 200)(21, 201)(22, 202)(23, 203)(24, 204)(25, 205)(26, 206)(27, 207)(28, 208)(29, 209)(30, 210)(31, 211)(32, 212)(33, 213)(34, 214)(35, 215)(36, 216)(37, 217)(38, 218)(39, 219)(40, 220)(41, 221)(42, 222)(43, 223)(44, 224)(45, 225)(46, 226)(47, 227)(48, 228)(49, 229)(50, 230)(51, 231)(52, 232)(53, 233)(54, 234)(55, 235)(56, 236)(57, 237)(58, 238)(59, 239)(60, 240)(61, 241)(62, 242)(63, 243)(64, 244)(65, 245)(66, 246)(67, 247)(68, 248)(69, 249)(70, 250)(71, 251)(72, 252)(73, 253)(74, 254)(75, 255)(76, 256)(77, 257)(78, 258)(79, 259)(80, 260)(81, 261)(82, 262)(83, 263)(84, 264)(85, 265)(86, 266)(87, 267)(88, 268)(89, 269)(90, 270)(91, 271)(92, 272)(93, 273)(94, 274)(95, 275)(96, 276)(97, 277)(98, 278)(99, 279)(100, 280)(101, 281)(102, 282)(103, 283)(104, 284)(105, 285)(106, 286)(107, 287)(108, 288)(109, 289)(110, 290)(111, 291)(112, 292)(113, 293)(114, 294)(115, 295)(116, 296)(117, 297)(118, 298)(119, 299)(120, 300)(121, 301)(122, 302)(123, 303)(124, 304)(125, 305)(126, 306)(127, 307)(128, 308)(129, 309)(130, 310)(131, 311)(132, 312)(133, 313)(134, 314)(135, 315)(136, 316)(137, 317)(138, 318)(139, 319)(140, 320)(141, 321)(142, 322)(143, 323)(144, 324)(145, 325)(146, 326)(147, 327)(148, 328)(149, 329)(150, 330)(151, 331)(152, 332)(153, 333)(154, 334)(155, 335)(156, 336)(157, 337)(158, 338)(159, 339)(160, 340)(161, 341)(162, 342)(163, 343)(164, 344)(165, 345)(166, 346)(167, 347)(168, 348)(169, 349)(170, 350)(171, 351)(172, 352)(173, 353)(174, 354)(175, 355)(176, 356)(177, 357)(178, 358)(179, 359)(180, 360)
	local type(s) :: { ( 4^6 ), ( 4^30 ) }
Outer automorphisms :: reflexible
Dual of E28.2910
Transitivity :: ET+
Graph:: simple bipartite
	v = 36 e = 180 f = 90
	degree seq :: [ 6^30, 30^6 ]

E28.2907 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 30})
Quotient :: edge
Aut^+ = C3 x S3 x D10 (small group id <180, 26>)
Aut   = S3 x S3 x D10 (small group id <360, 137>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1^2 * T2 * T1 * T2 * T1^-2 * T2 * T1^-1, T1^-3 * T2 * T1^2 * T2 * T1^-5, (T2 * T1^-1)^6 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 48)(25, 52)(26, 53)(27, 56)(30, 61)(31, 64)(33, 66)(34, 67)(35, 69)(36, 70)(38, 73)(39, 65)(42, 72)(43, 68)(44, 71)(46, 83)(47, 86)(49, 90)(50, 91)(51, 94)(54, 97)(55, 100)(57, 101)(58, 102)(59, 103)(60, 104)(62, 105)(63, 107)(74, 120)(75, 122)(76, 123)(77, 110)(78, 126)(79, 85)(80, 117)(81, 124)(82, 125)(84, 92)(87, 133)(88, 134)(89, 136)(93, 141)(95, 142)(96, 143)(98, 144)(99, 145)(106, 154)(108, 155)(109, 156)(111, 158)(112, 159)(113, 146)(114, 160)(115, 137)(116, 149)(118, 161)(119, 148)(121, 157)(127, 165)(128, 164)(129, 163)(130, 162)(131, 168)(132, 169)(135, 171)(138, 172)(139, 173)(140, 174)(147, 179)(150, 175)(151, 170)(152, 180)(153, 176)(166, 177)(167, 178)(181, 182, 185, 191, 203, 227, 265, 245, 212, 236, 274, 316, 349, 345, 300, 334, 287, 325, 354, 343, 297, 252, 217, 241, 277, 264, 226, 202, 190, 184)(183, 187, 195, 211, 243, 278, 234, 206, 192, 205, 231, 273, 320, 310, 263, 268, 228, 267, 312, 308, 260, 224, 201, 223, 259, 301, 254, 218, 198, 188)(186, 193, 207, 235, 279, 319, 272, 230, 204, 229, 269, 315, 309, 262, 225, 261, 266, 311, 307, 258, 222, 200, 189, 199, 219, 255, 286, 242, 210, 194)(196, 213, 232, 275, 313, 350, 337, 289, 244, 288, 321, 355, 344, 299, 253, 298, 324, 358, 342, 296, 251, 216, 197, 215, 233, 276, 314, 294, 248, 214)(208, 237, 270, 317, 348, 346, 302, 327, 280, 326, 351, 338, 306, 333, 285, 332, 353, 339, 305, 257, 221, 240, 209, 239, 271, 318, 304, 256, 220, 238)(246, 290, 335, 303, 347, 357, 323, 356, 322, 284, 330, 282, 329, 359, 340, 360, 331, 283, 328, 281, 250, 293, 247, 292, 336, 352, 341, 295, 249, 291)
	L = (1, 181)(2, 182)(3, 183)(4, 184)(5, 185)(6, 186)(7, 187)(8, 188)(9, 189)(10, 190)(11, 191)(12, 192)(13, 193)(14, 194)(15, 195)(16, 196)(17, 197)(18, 198)(19, 199)(20, 200)(21, 201)(22, 202)(23, 203)(24, 204)(25, 205)(26, 206)(27, 207)(28, 208)(29, 209)(30, 210)(31, 211)(32, 212)(33, 213)(34, 214)(35, 215)(36, 216)(37, 217)(38, 218)(39, 219)(40, 220)(41, 221)(42, 222)(43, 223)(44, 224)(45, 225)(46, 226)(47, 227)(48, 228)(49, 229)(50, 230)(51, 231)(52, 232)(53, 233)(54, 234)(55, 235)(56, 236)(57, 237)(58, 238)(59, 239)(60, 240)(61, 241)(62, 242)(63, 243)(64, 244)(65, 245)(66, 246)(67, 247)(68, 248)(69, 249)(70, 250)(71, 251)(72, 252)(73, 253)(74, 254)(75, 255)(76, 256)(77, 257)(78, 258)(79, 259)(80, 260)(81, 261)(82, 262)(83, 263)(84, 264)(85, 265)(86, 266)(87, 267)(88, 268)(89, 269)(90, 270)(91, 271)(92, 272)(93, 273)(94, 274)(95, 275)(96, 276)(97, 277)(98, 278)(99, 279)(100, 280)(101, 281)(102, 282)(103, 283)(104, 284)(105, 285)(106, 286)(107, 287)(108, 288)(109, 289)(110, 290)(111, 291)(112, 292)(113, 293)(114, 294)(115, 295)(116, 296)(117, 297)(118, 298)(119, 299)(120, 300)(121, 301)(122, 302)(123, 303)(124, 304)(125, 305)(126, 306)(127, 307)(128, 308)(129, 309)(130, 310)(131, 311)(132, 312)(133, 313)(134, 314)(135, 315)(136, 316)(137, 317)(138, 318)(139, 319)(140, 320)(141, 321)(142, 322)(143, 323)(144, 324)(145, 325)(146, 326)(147, 327)(148, 328)(149, 329)(150, 330)(151, 331)(152, 332)(153, 333)(154, 334)(155, 335)(156, 336)(157, 337)(158, 338)(159, 339)(160, 340)(161, 341)(162, 342)(163, 343)(164, 344)(165, 345)(166, 346)(167, 347)(168, 348)(169, 349)(170, 350)(171, 351)(172, 352)(173, 353)(174, 354)(175, 355)(176, 356)(177, 357)(178, 358)(179, 359)(180, 360)
	local type(s) :: { ( 12, 12 ), ( 12^30 ) }
Outer automorphisms :: reflexible
Dual of E28.2908
Transitivity :: ET+
Graph:: simple bipartite
	v = 96 e = 180 f = 30
	degree seq :: [ 2^90, 30^6 ]

E28.2908 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 30})
Quotient :: loop
Aut^+ = C3 x S3 x D10 (small group id <180, 26>)
Aut   = S3 x S3 x D10 (small group id <360, 137>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, T2^-1 * T1 * T2^2 * T1 * T2 * T1 * T2^-2 * T1, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 ]
Map::
	R = (1, 181, 3, 183, 8, 188, 18, 198, 10, 190, 4, 184)(2, 182, 5, 185, 12, 192, 25, 205, 14, 194, 6, 186)(7, 187, 15, 195, 30, 210, 57, 237, 32, 212, 16, 196)(9, 189, 19, 199, 37, 217, 65, 245, 39, 219, 20, 200)(11, 191, 22, 202, 43, 223, 71, 251, 45, 225, 23, 203)(13, 193, 26, 206, 50, 230, 79, 259, 52, 232, 27, 207)(17, 197, 33, 213, 60, 240, 90, 270, 61, 241, 34, 214)(21, 201, 40, 220, 67, 247, 96, 276, 68, 248, 41, 221)(24, 204, 46, 226, 74, 254, 104, 284, 75, 255, 47, 227)(28, 208, 53, 233, 81, 261, 110, 290, 82, 262, 54, 234)(29, 209, 55, 235, 84, 264, 64, 244, 36, 216, 56, 236)(31, 211, 58, 238, 88, 268, 66, 246, 38, 218, 59, 239)(35, 215, 62, 242, 91, 271, 119, 299, 92, 272, 63, 243)(42, 222, 69, 249, 98, 278, 78, 258, 49, 229, 70, 250)(44, 224, 72, 252, 102, 282, 80, 260, 51, 231, 73, 253)(48, 228, 76, 256, 105, 285, 132, 312, 106, 286, 77, 257)(83, 263, 111, 291, 138, 318, 117, 297, 87, 267, 112, 292)(85, 265, 113, 293, 141, 321, 118, 298, 89, 269, 114, 294)(86, 266, 115, 295, 143, 323, 122, 302, 94, 274, 116, 296)(93, 273, 120, 300, 147, 327, 123, 303, 95, 275, 121, 301)(97, 277, 124, 304, 151, 331, 130, 310, 101, 281, 125, 305)(99, 279, 126, 306, 154, 334, 131, 311, 103, 283, 127, 307)(100, 280, 128, 308, 156, 336, 135, 315, 108, 288, 129, 309)(107, 287, 133, 313, 160, 340, 136, 316, 109, 289, 134, 314)(137, 317, 163, 343, 146, 326, 167, 347, 140, 320, 164, 344)(139, 319, 165, 345, 148, 328, 168, 348, 142, 322, 166, 346)(144, 324, 169, 349, 149, 329, 171, 351, 145, 325, 170, 350)(150, 330, 172, 352, 159, 339, 176, 356, 153, 333, 173, 353)(152, 332, 174, 354, 161, 341, 177, 357, 155, 335, 175, 355)(157, 337, 178, 358, 162, 342, 180, 360, 158, 338, 179, 359)
	L = (1, 182)(2, 181)(3, 187)(4, 189)(5, 191)(6, 193)(7, 183)(8, 197)(9, 184)(10, 201)(11, 185)(12, 204)(13, 186)(14, 208)(15, 209)(16, 211)(17, 188)(18, 215)(19, 216)(20, 218)(21, 190)(22, 222)(23, 224)(24, 192)(25, 228)(26, 229)(27, 231)(28, 194)(29, 195)(30, 226)(31, 196)(32, 233)(33, 223)(34, 230)(35, 198)(36, 199)(37, 227)(38, 200)(39, 234)(40, 225)(41, 232)(42, 202)(43, 213)(44, 203)(45, 220)(46, 210)(47, 217)(48, 205)(49, 206)(50, 214)(51, 207)(52, 221)(53, 212)(54, 219)(55, 263)(56, 265)(57, 266)(58, 267)(59, 269)(60, 254)(61, 261)(62, 264)(63, 268)(64, 273)(65, 274)(66, 275)(67, 255)(68, 262)(69, 277)(70, 279)(71, 280)(72, 281)(73, 283)(74, 240)(75, 247)(76, 278)(77, 282)(78, 287)(79, 288)(80, 289)(81, 241)(82, 248)(83, 235)(84, 242)(85, 236)(86, 237)(87, 238)(88, 243)(89, 239)(90, 285)(91, 284)(92, 290)(93, 244)(94, 245)(95, 246)(96, 286)(97, 249)(98, 256)(99, 250)(100, 251)(101, 252)(102, 257)(103, 253)(104, 271)(105, 270)(106, 276)(107, 258)(108, 259)(109, 260)(110, 272)(111, 317)(112, 319)(113, 320)(114, 322)(115, 318)(116, 321)(117, 324)(118, 325)(119, 323)(120, 326)(121, 328)(122, 327)(123, 329)(124, 330)(125, 332)(126, 333)(127, 335)(128, 331)(129, 334)(130, 337)(131, 338)(132, 336)(133, 339)(134, 341)(135, 340)(136, 342)(137, 291)(138, 295)(139, 292)(140, 293)(141, 296)(142, 294)(143, 299)(144, 297)(145, 298)(146, 300)(147, 302)(148, 301)(149, 303)(150, 304)(151, 308)(152, 305)(153, 306)(154, 309)(155, 307)(156, 312)(157, 310)(158, 311)(159, 313)(160, 315)(161, 314)(162, 316)(163, 357)(164, 360)(165, 354)(166, 358)(167, 356)(168, 352)(169, 355)(170, 359)(171, 353)(172, 348)(173, 351)(174, 345)(175, 349)(176, 347)(177, 343)(178, 346)(179, 350)(180, 344)
	local type(s) :: { ( 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30 ) }
Outer automorphisms :: reflexible
Dual of E28.2907
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 30 e = 180 f = 96
	degree seq :: [ 12^30 ]

E28.2909 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 30})
Quotient :: loop
Aut^+ = C3 x S3 x D10 (small group id <180, 26>)
Aut   = S3 x S3 x D10 (small group id <360, 137>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T2)^2, (F * T1)^2, T1^6, T2 * T1^-5 * T2 * T1, T2^-2 * T1^-2 * T2 * T1^-1 * T2^-1 * T1, T2^-1 * T1 * T2^-1 * T1^-1 * T2 * T1^-2 * T2^-1, T2^-2 * T1 * T2^-2 * T1 * T2^-1 * T1^3 * T2^-1 * T1, T2^6 * T1 * T2^-2 * T1^-1 * T2^2 ]
Map::
	R = (1, 181, 3, 183, 10, 190, 26, 206, 61, 241, 107, 287, 142, 322, 90, 270, 47, 227, 32, 212, 66, 246, 112, 292, 148, 328, 97, 277, 152, 332, 174, 354, 145, 325, 119, 299, 137, 317, 85, 265, 52, 232, 21, 201, 51, 231, 95, 275, 150, 330, 126, 306, 76, 256, 38, 218, 15, 195, 5, 185)(2, 182, 7, 187, 19, 199, 46, 226, 91, 271, 144, 324, 104, 284, 59, 239, 25, 205, 11, 191, 28, 208, 65, 245, 114, 294, 139, 319, 125, 305, 159, 339, 106, 286, 62, 242, 109, 289, 130, 310, 86, 266, 43, 223, 37, 217, 74, 254, 123, 303, 154, 334, 98, 278, 54, 234, 22, 202, 8, 188)(4, 184, 12, 192, 31, 211, 70, 250, 118, 298, 158, 338, 105, 285, 60, 240, 27, 207, 63, 243, 111, 291, 129, 309, 120, 300, 75, 255, 124, 304, 160, 340, 108, 288, 149, 329, 94, 274, 50, 230, 36, 216, 14, 194, 35, 215, 73, 253, 122, 302, 157, 337, 103, 283, 58, 238, 24, 204, 9, 189)(6, 186, 17, 197, 41, 221, 82, 262, 134, 314, 169, 349, 141, 321, 89, 269, 45, 225, 20, 200, 48, 228, 29, 209, 67, 247, 110, 290, 153, 333, 173, 353, 143, 323, 92, 272, 146, 326, 115, 295, 131, 311, 79, 259, 53, 233, 96, 276, 151, 331, 172, 352, 140, 320, 88, 268, 44, 224, 18, 198)(13, 193, 33, 213, 64, 244, 113, 293, 161, 341, 177, 357, 163, 343, 117, 297, 71, 251, 78, 258, 128, 308, 84, 264, 136, 316, 102, 282, 156, 336, 176, 356, 164, 344, 121, 301, 72, 252, 34, 214, 57, 237, 23, 203, 56, 236, 101, 281, 155, 335, 175, 355, 162, 342, 116, 296, 69, 249, 30, 210)(16, 196, 39, 219, 77, 257, 127, 307, 165, 345, 178, 358, 167, 347, 133, 313, 81, 261, 42, 222, 83, 263, 49, 229, 93, 273, 147, 327, 171, 351, 180, 360, 168, 348, 135, 315, 100, 280, 55, 235, 99, 279, 68, 248, 87, 267, 138, 318, 170, 350, 179, 359, 166, 346, 132, 312, 80, 260, 40, 220)
	L = (1, 182)(2, 186)(3, 189)(4, 181)(5, 194)(6, 196)(7, 185)(8, 201)(9, 203)(10, 205)(11, 183)(12, 210)(13, 184)(14, 214)(15, 217)(16, 193)(17, 188)(18, 223)(19, 225)(20, 187)(21, 230)(22, 233)(23, 235)(24, 231)(25, 221)(26, 240)(27, 190)(28, 228)(29, 191)(30, 248)(31, 227)(32, 192)(33, 220)(34, 229)(35, 195)(36, 232)(37, 224)(38, 255)(39, 198)(40, 259)(41, 261)(42, 197)(43, 265)(44, 267)(45, 257)(46, 270)(47, 199)(48, 263)(49, 200)(50, 264)(51, 202)(52, 266)(53, 260)(54, 277)(55, 209)(56, 204)(57, 216)(58, 282)(59, 275)(60, 281)(61, 286)(62, 206)(63, 213)(64, 207)(65, 212)(66, 208)(67, 280)(68, 295)(69, 215)(70, 297)(71, 211)(72, 300)(73, 296)(74, 218)(75, 301)(76, 305)(77, 251)(78, 219)(79, 310)(80, 236)(81, 244)(82, 239)(83, 308)(84, 222)(85, 309)(86, 311)(87, 249)(88, 319)(89, 254)(90, 253)(91, 323)(92, 226)(93, 252)(94, 328)(95, 238)(96, 234)(97, 329)(98, 333)(99, 237)(100, 316)(101, 312)(102, 315)(103, 332)(104, 331)(105, 330)(106, 314)(107, 340)(108, 241)(109, 247)(110, 242)(111, 246)(112, 243)(113, 313)(114, 326)(115, 245)(116, 327)(117, 318)(118, 325)(119, 250)(120, 317)(121, 307)(122, 322)(123, 321)(124, 256)(125, 320)(126, 338)(127, 269)(128, 291)(129, 258)(130, 292)(131, 279)(132, 290)(133, 276)(134, 348)(135, 262)(136, 274)(137, 294)(138, 268)(139, 299)(140, 351)(141, 350)(142, 303)(143, 345)(144, 354)(145, 271)(146, 273)(147, 272)(148, 289)(149, 293)(150, 284)(151, 347)(152, 278)(153, 346)(154, 287)(155, 285)(156, 283)(157, 357)(158, 356)(159, 306)(160, 355)(161, 288)(162, 304)(163, 302)(164, 298)(165, 344)(166, 336)(167, 335)(168, 341)(169, 339)(170, 343)(171, 342)(172, 324)(173, 334)(174, 337)(175, 358)(176, 359)(177, 360)(178, 353)(179, 349)(180, 352)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2905
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 180 f = 120
	degree seq :: [ 60^6 ]

E28.2910 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 30})
Quotient :: loop
Aut^+ = C3 x S3 x D10 (small group id <180, 26>)
Aut   = S3 x S3 x D10 (small group id <360, 137>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1^2 * T2 * T1 * T2 * T1^-2 * T2 * T1^-1, T1^-3 * T2 * T1^2 * T2 * T1^-5, (T2 * T1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 181, 3, 183)(2, 182, 6, 186)(4, 184, 9, 189)(5, 185, 12, 192)(7, 187, 16, 196)(8, 188, 17, 197)(10, 190, 21, 201)(11, 191, 24, 204)(13, 193, 28, 208)(14, 194, 29, 209)(15, 195, 32, 212)(18, 198, 37, 217)(19, 199, 40, 220)(20, 200, 41, 221)(22, 202, 45, 225)(23, 203, 48, 228)(25, 205, 52, 232)(26, 206, 53, 233)(27, 207, 56, 236)(30, 210, 61, 241)(31, 211, 64, 244)(33, 213, 66, 246)(34, 214, 67, 247)(35, 215, 69, 249)(36, 216, 70, 250)(38, 218, 73, 253)(39, 219, 65, 245)(42, 222, 72, 252)(43, 223, 68, 248)(44, 224, 71, 251)(46, 226, 83, 263)(47, 227, 86, 266)(49, 229, 90, 270)(50, 230, 91, 271)(51, 231, 94, 274)(54, 234, 97, 277)(55, 235, 100, 280)(57, 237, 101, 281)(58, 238, 102, 282)(59, 239, 103, 283)(60, 240, 104, 284)(62, 242, 105, 285)(63, 243, 107, 287)(74, 254, 120, 300)(75, 255, 122, 302)(76, 256, 123, 303)(77, 257, 110, 290)(78, 258, 126, 306)(79, 259, 85, 265)(80, 260, 117, 297)(81, 261, 124, 304)(82, 262, 125, 305)(84, 264, 92, 272)(87, 267, 133, 313)(88, 268, 134, 314)(89, 269, 136, 316)(93, 273, 141, 321)(95, 275, 142, 322)(96, 276, 143, 323)(98, 278, 144, 324)(99, 279, 145, 325)(106, 286, 154, 334)(108, 288, 155, 335)(109, 289, 156, 336)(111, 291, 158, 338)(112, 292, 159, 339)(113, 293, 146, 326)(114, 294, 160, 340)(115, 295, 137, 317)(116, 296, 149, 329)(118, 298, 161, 341)(119, 299, 148, 328)(121, 301, 157, 337)(127, 307, 165, 345)(128, 308, 164, 344)(129, 309, 163, 343)(130, 310, 162, 342)(131, 311, 168, 348)(132, 312, 169, 349)(135, 315, 171, 351)(138, 318, 172, 352)(139, 319, 173, 353)(140, 320, 174, 354)(147, 327, 179, 359)(150, 330, 175, 355)(151, 331, 170, 350)(152, 332, 180, 360)(153, 333, 176, 356)(166, 346, 177, 357)(167, 347, 178, 358)
	L = (1, 182)(2, 185)(3, 187)(4, 181)(5, 191)(6, 193)(7, 195)(8, 183)(9, 199)(10, 184)(11, 203)(12, 205)(13, 207)(14, 186)(15, 211)(16, 213)(17, 215)(18, 188)(19, 219)(20, 189)(21, 223)(22, 190)(23, 227)(24, 229)(25, 231)(26, 192)(27, 235)(28, 237)(29, 239)(30, 194)(31, 243)(32, 236)(33, 232)(34, 196)(35, 233)(36, 197)(37, 241)(38, 198)(39, 255)(40, 238)(41, 240)(42, 200)(43, 259)(44, 201)(45, 261)(46, 202)(47, 265)(48, 267)(49, 269)(50, 204)(51, 273)(52, 275)(53, 276)(54, 206)(55, 279)(56, 274)(57, 270)(58, 208)(59, 271)(60, 209)(61, 277)(62, 210)(63, 278)(64, 288)(65, 212)(66, 290)(67, 292)(68, 214)(69, 291)(70, 293)(71, 216)(72, 217)(73, 298)(74, 218)(75, 286)(76, 220)(77, 221)(78, 222)(79, 301)(80, 224)(81, 266)(82, 225)(83, 268)(84, 226)(85, 245)(86, 311)(87, 312)(88, 228)(89, 315)(90, 317)(91, 318)(92, 230)(93, 320)(94, 316)(95, 313)(96, 314)(97, 264)(98, 234)(99, 319)(100, 326)(101, 250)(102, 329)(103, 328)(104, 330)(105, 332)(106, 242)(107, 325)(108, 321)(109, 244)(110, 335)(111, 246)(112, 336)(113, 247)(114, 248)(115, 249)(116, 251)(117, 252)(118, 324)(119, 253)(120, 334)(121, 254)(122, 327)(123, 347)(124, 256)(125, 257)(126, 333)(127, 258)(128, 260)(129, 262)(130, 263)(131, 307)(132, 308)(133, 350)(134, 294)(135, 309)(136, 349)(137, 348)(138, 304)(139, 272)(140, 310)(141, 355)(142, 284)(143, 356)(144, 358)(145, 354)(146, 351)(147, 280)(148, 281)(149, 359)(150, 282)(151, 283)(152, 353)(153, 285)(154, 287)(155, 303)(156, 352)(157, 289)(158, 306)(159, 305)(160, 360)(161, 295)(162, 296)(163, 297)(164, 299)(165, 300)(166, 302)(167, 357)(168, 346)(169, 345)(170, 337)(171, 338)(172, 341)(173, 339)(174, 343)(175, 344)(176, 322)(177, 323)(178, 342)(179, 340)(180, 331)
	local type(s) :: { ( 6, 30, 6, 30 ) }
Outer automorphisms :: reflexible
Dual of E28.2906
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 90 e = 180 f = 36
	degree seq :: [ 4^90 ]

E28.2911 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 30})
Quotient :: dipole
Aut^+ = C3 x S3 x D10 (small group id <180, 26>)
Aut   = S3 x S3 x D10 (small group id <360, 137>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^6, (Y2^-1 * R * Y1 * Y2^-1)^2, Y1 * Y2 * R * Y2^2 * R * Y2^-1 * Y1 * Y2^2, Y1 * Y2^-1 * R * Y2^2 * R * Y2 * Y1 * Y2^2, Y1 * Y2 * Y1 * R * Y2^2 * R * Y1 * Y2^-1 * Y1 * R * Y2^-2 * R, (Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1)^2, (Y3 * Y2^-1)^30 ]
Map::
	R = (1, 181, 2, 182)(3, 183, 7, 187)(4, 184, 9, 189)(5, 185, 11, 191)(6, 186, 13, 193)(8, 188, 17, 197)(10, 190, 21, 201)(12, 192, 24, 204)(14, 194, 28, 208)(15, 195, 29, 209)(16, 196, 31, 211)(18, 198, 35, 215)(19, 199, 36, 216)(20, 200, 38, 218)(22, 202, 42, 222)(23, 203, 44, 224)(25, 205, 48, 228)(26, 206, 49, 229)(27, 207, 51, 231)(30, 210, 46, 226)(32, 212, 53, 233)(33, 213, 43, 223)(34, 214, 50, 230)(37, 217, 47, 227)(39, 219, 54, 234)(40, 220, 45, 225)(41, 221, 52, 232)(55, 235, 83, 263)(56, 236, 85, 265)(57, 237, 86, 266)(58, 238, 87, 267)(59, 239, 89, 269)(60, 240, 74, 254)(61, 241, 81, 261)(62, 242, 84, 264)(63, 243, 88, 268)(64, 244, 93, 273)(65, 245, 94, 274)(66, 246, 95, 275)(67, 247, 75, 255)(68, 248, 82, 262)(69, 249, 97, 277)(70, 250, 99, 279)(71, 251, 100, 280)(72, 252, 101, 281)(73, 253, 103, 283)(76, 256, 98, 278)(77, 257, 102, 282)(78, 258, 107, 287)(79, 259, 108, 288)(80, 260, 109, 289)(90, 270, 105, 285)(91, 271, 104, 284)(92, 272, 110, 290)(96, 276, 106, 286)(111, 291, 137, 317)(112, 292, 139, 319)(113, 293, 140, 320)(114, 294, 142, 322)(115, 295, 138, 318)(116, 296, 141, 321)(117, 297, 144, 324)(118, 298, 145, 325)(119, 299, 143, 323)(120, 300, 146, 326)(121, 301, 148, 328)(122, 302, 147, 327)(123, 303, 149, 329)(124, 304, 150, 330)(125, 305, 152, 332)(126, 306, 153, 333)(127, 307, 155, 335)(128, 308, 151, 331)(129, 309, 154, 334)(130, 310, 157, 337)(131, 311, 158, 338)(132, 312, 156, 336)(133, 313, 159, 339)(134, 314, 161, 341)(135, 315, 160, 340)(136, 316, 162, 342)(163, 343, 177, 357)(164, 344, 180, 360)(165, 345, 174, 354)(166, 346, 178, 358)(167, 347, 176, 356)(168, 348, 172, 352)(169, 349, 175, 355)(170, 350, 179, 359)(171, 351, 173, 353)(361, 541, 363, 543, 368, 548, 378, 558, 370, 550, 364, 544)(362, 542, 365, 545, 372, 552, 385, 565, 374, 554, 366, 546)(367, 547, 375, 555, 390, 570, 417, 597, 392, 572, 376, 556)(369, 549, 379, 559, 397, 577, 425, 605, 399, 579, 380, 560)(371, 551, 382, 562, 403, 583, 431, 611, 405, 585, 383, 563)(373, 553, 386, 566, 410, 590, 439, 619, 412, 592, 387, 567)(377, 557, 393, 573, 420, 600, 450, 630, 421, 601, 394, 574)(381, 561, 400, 580, 427, 607, 456, 636, 428, 608, 401, 581)(384, 564, 406, 586, 434, 614, 464, 644, 435, 615, 407, 587)(388, 568, 413, 593, 441, 621, 470, 650, 442, 622, 414, 594)(389, 569, 415, 595, 444, 624, 424, 604, 396, 576, 416, 596)(391, 571, 418, 598, 448, 628, 426, 606, 398, 578, 419, 599)(395, 575, 422, 602, 451, 631, 479, 659, 452, 632, 423, 603)(402, 582, 429, 609, 458, 638, 438, 618, 409, 589, 430, 610)(404, 584, 432, 612, 462, 642, 440, 620, 411, 591, 433, 613)(408, 588, 436, 616, 465, 645, 492, 672, 466, 646, 437, 617)(443, 623, 471, 651, 498, 678, 477, 657, 447, 627, 472, 652)(445, 625, 473, 653, 501, 681, 478, 658, 449, 629, 474, 654)(446, 626, 475, 655, 503, 683, 482, 662, 454, 634, 476, 656)(453, 633, 480, 660, 507, 687, 483, 663, 455, 635, 481, 661)(457, 637, 484, 664, 511, 691, 490, 670, 461, 641, 485, 665)(459, 639, 486, 666, 514, 694, 491, 671, 463, 643, 487, 667)(460, 640, 488, 668, 516, 696, 495, 675, 468, 648, 489, 669)(467, 647, 493, 673, 520, 700, 496, 676, 469, 649, 494, 674)(497, 677, 523, 703, 506, 686, 527, 707, 500, 680, 524, 704)(499, 679, 525, 705, 508, 688, 528, 708, 502, 682, 526, 706)(504, 684, 529, 709, 509, 689, 531, 711, 505, 685, 530, 710)(510, 690, 532, 712, 519, 699, 536, 716, 513, 693, 533, 713)(512, 692, 534, 714, 521, 701, 537, 717, 515, 695, 535, 715)(517, 697, 538, 718, 522, 702, 540, 720, 518, 698, 539, 719)
	L = (1, 362)(2, 361)(3, 367)(4, 369)(5, 371)(6, 373)(7, 363)(8, 377)(9, 364)(10, 381)(11, 365)(12, 384)(13, 366)(14, 388)(15, 389)(16, 391)(17, 368)(18, 395)(19, 396)(20, 398)(21, 370)(22, 402)(23, 404)(24, 372)(25, 408)(26, 409)(27, 411)(28, 374)(29, 375)(30, 406)(31, 376)(32, 413)(33, 403)(34, 410)(35, 378)(36, 379)(37, 407)(38, 380)(39, 414)(40, 405)(41, 412)(42, 382)(43, 393)(44, 383)(45, 400)(46, 390)(47, 397)(48, 385)(49, 386)(50, 394)(51, 387)(52, 401)(53, 392)(54, 399)(55, 443)(56, 445)(57, 446)(58, 447)(59, 449)(60, 434)(61, 441)(62, 444)(63, 448)(64, 453)(65, 454)(66, 455)(67, 435)(68, 442)(69, 457)(70, 459)(71, 460)(72, 461)(73, 463)(74, 420)(75, 427)(76, 458)(77, 462)(78, 467)(79, 468)(80, 469)(81, 421)(82, 428)(83, 415)(84, 422)(85, 416)(86, 417)(87, 418)(88, 423)(89, 419)(90, 465)(91, 464)(92, 470)(93, 424)(94, 425)(95, 426)(96, 466)(97, 429)(98, 436)(99, 430)(100, 431)(101, 432)(102, 437)(103, 433)(104, 451)(105, 450)(106, 456)(107, 438)(108, 439)(109, 440)(110, 452)(111, 497)(112, 499)(113, 500)(114, 502)(115, 498)(116, 501)(117, 504)(118, 505)(119, 503)(120, 506)(121, 508)(122, 507)(123, 509)(124, 510)(125, 512)(126, 513)(127, 515)(128, 511)(129, 514)(130, 517)(131, 518)(132, 516)(133, 519)(134, 521)(135, 520)(136, 522)(137, 471)(138, 475)(139, 472)(140, 473)(141, 476)(142, 474)(143, 479)(144, 477)(145, 478)(146, 480)(147, 482)(148, 481)(149, 483)(150, 484)(151, 488)(152, 485)(153, 486)(154, 489)(155, 487)(156, 492)(157, 490)(158, 491)(159, 493)(160, 495)(161, 494)(162, 496)(163, 537)(164, 540)(165, 534)(166, 538)(167, 536)(168, 532)(169, 535)(170, 539)(171, 533)(172, 528)(173, 531)(174, 525)(175, 529)(176, 527)(177, 523)(178, 526)(179, 530)(180, 524)(181, 541)(182, 542)(183, 543)(184, 544)(185, 545)(186, 546)(187, 547)(188, 548)(189, 549)(190, 550)(191, 551)(192, 552)(193, 553)(194, 554)(195, 555)(196, 556)(197, 557)(198, 558)(199, 559)(200, 560)(201, 561)(202, 562)(203, 563)(204, 564)(205, 565)(206, 566)(207, 567)(208, 568)(209, 569)(210, 570)(211, 571)(212, 572)(213, 573)(214, 574)(215, 575)(216, 576)(217, 577)(218, 578)(219, 579)(220, 580)(221, 581)(222, 582)(223, 583)(224, 584)(225, 585)(226, 586)(227, 587)(228, 588)(229, 589)(230, 590)(231, 591)(232, 592)(233, 593)(234, 594)(235, 595)(236, 596)(237, 597)(238, 598)(239, 599)(240, 600)(241, 601)(242, 602)(243, 603)(244, 604)(245, 605)(246, 606)(247, 607)(248, 608)(249, 609)(250, 610)(251, 611)(252, 612)(253, 613)(254, 614)(255, 615)(256, 616)(257, 617)(258, 618)(259, 619)(260, 620)(261, 621)(262, 622)(263, 623)(264, 624)(265, 625)(266, 626)(267, 627)(268, 628)(269, 629)(270, 630)(271, 631)(272, 632)(273, 633)(274, 634)(275, 635)(276, 636)(277, 637)(278, 638)(279, 639)(280, 640)(281, 641)(282, 642)(283, 643)(284, 644)(285, 645)(286, 646)(287, 647)(288, 648)(289, 649)(290, 650)(291, 651)(292, 652)(293, 653)(294, 654)(295, 655)(296, 656)(297, 657)(298, 658)(299, 659)(300, 660)(301, 661)(302, 662)(303, 663)(304, 664)(305, 665)(306, 666)(307, 667)(308, 668)(309, 669)(310, 670)(311, 671)(312, 672)(313, 673)(314, 674)(315, 675)(316, 676)(317, 677)(318, 678)(319, 679)(320, 680)(321, 681)(322, 682)(323, 683)(324, 684)(325, 685)(326, 686)(327, 687)(328, 688)(329, 689)(330, 690)(331, 691)(332, 692)(333, 693)(334, 694)(335, 695)(336, 696)(337, 697)(338, 698)(339, 699)(340, 700)(341, 701)(342, 702)(343, 703)(344, 704)(345, 705)(346, 706)(347, 707)(348, 708)(349, 709)(350, 710)(351, 711)(352, 712)(353, 713)(354, 714)(355, 715)(356, 716)(357, 717)(358, 718)(359, 719)(360, 720)
	local type(s) :: { ( 2, 60, 2, 60 ), ( 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.2914
Graph:: bipartite
	v = 120 e = 360 f = 186
	degree seq :: [ 4^90, 12^30 ]

E28.2912 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 30})
Quotient :: dipole
Aut^+ = C3 x S3 x D10 (small group id <180, 26>)
Aut   = S3 x S3 x D10 (small group id <360, 137>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2 * Y1)^2, (Y2 * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, Y1^6, Y2^-1 * Y1 * Y2^-2 * Y1^-2 * Y2 * Y1^-1, Y1^-2 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-2, Y2 * Y1^-2 * Y2 * Y1^-1 * Y2 * Y1^-2 * Y2 * Y1^3, Y2^2 * Y1^-1 * Y2^-8 * Y1 ]
Map::
	R = (1, 181, 2, 182, 6, 186, 16, 196, 13, 193, 4, 184)(3, 183, 9, 189, 23, 203, 55, 235, 29, 209, 11, 191)(5, 185, 14, 194, 34, 214, 49, 229, 20, 200, 7, 187)(8, 188, 21, 201, 50, 230, 84, 264, 42, 222, 17, 197)(10, 190, 25, 205, 41, 221, 81, 261, 64, 244, 27, 207)(12, 192, 30, 210, 68, 248, 115, 295, 65, 245, 32, 212)(15, 195, 37, 217, 44, 224, 87, 267, 69, 249, 35, 215)(18, 198, 43, 223, 85, 265, 129, 309, 78, 258, 39, 219)(19, 199, 45, 225, 77, 257, 71, 251, 31, 211, 47, 227)(22, 202, 53, 233, 80, 260, 56, 236, 24, 204, 51, 231)(26, 206, 60, 240, 101, 281, 132, 312, 110, 290, 62, 242)(28, 208, 48, 228, 83, 263, 128, 308, 111, 291, 66, 246)(33, 213, 40, 220, 79, 259, 130, 310, 112, 292, 63, 243)(36, 216, 52, 232, 86, 266, 131, 311, 99, 279, 57, 237)(38, 218, 75, 255, 121, 301, 127, 307, 89, 269, 74, 254)(46, 226, 90, 270, 73, 253, 116, 296, 147, 327, 92, 272)(54, 234, 97, 277, 149, 329, 113, 293, 133, 313, 96, 276)(58, 238, 102, 282, 135, 315, 82, 262, 59, 239, 95, 275)(61, 241, 106, 286, 134, 314, 168, 348, 161, 341, 108, 288)(67, 247, 100, 280, 136, 316, 94, 274, 148, 328, 109, 289)(70, 250, 117, 297, 138, 318, 88, 268, 139, 319, 119, 299)(72, 252, 120, 300, 137, 317, 114, 294, 146, 326, 93, 273)(76, 256, 125, 305, 140, 320, 171, 351, 162, 342, 124, 304)(91, 271, 143, 323, 165, 345, 164, 344, 118, 298, 145, 325)(98, 278, 153, 333, 166, 346, 156, 336, 103, 283, 152, 332)(104, 284, 151, 331, 167, 347, 155, 335, 105, 285, 150, 330)(107, 287, 160, 340, 175, 355, 178, 358, 173, 353, 154, 334)(122, 302, 142, 322, 123, 303, 141, 321, 170, 350, 163, 343)(126, 306, 158, 338, 176, 356, 179, 359, 169, 349, 159, 339)(144, 324, 174, 354, 157, 337, 177, 357, 180, 360, 172, 352)(361, 541, 363, 543, 370, 550, 386, 566, 421, 601, 467, 647, 502, 682, 450, 630, 407, 587, 392, 572, 426, 606, 472, 652, 508, 688, 457, 637, 512, 692, 534, 714, 505, 685, 479, 659, 497, 677, 445, 625, 412, 592, 381, 561, 411, 591, 455, 635, 510, 690, 486, 666, 436, 616, 398, 578, 375, 555, 365, 545)(362, 542, 367, 547, 379, 559, 406, 586, 451, 631, 504, 684, 464, 644, 419, 599, 385, 565, 371, 551, 388, 568, 425, 605, 474, 654, 499, 679, 485, 665, 519, 699, 466, 646, 422, 602, 469, 649, 490, 670, 446, 626, 403, 583, 397, 577, 434, 614, 483, 663, 514, 694, 458, 638, 414, 594, 382, 562, 368, 548)(364, 544, 372, 552, 391, 571, 430, 610, 478, 658, 518, 698, 465, 645, 420, 600, 387, 567, 423, 603, 471, 651, 489, 669, 480, 660, 435, 615, 484, 664, 520, 700, 468, 648, 509, 689, 454, 634, 410, 590, 396, 576, 374, 554, 395, 575, 433, 613, 482, 662, 517, 697, 463, 643, 418, 598, 384, 564, 369, 549)(366, 546, 377, 557, 401, 581, 442, 622, 494, 674, 529, 709, 501, 681, 449, 629, 405, 585, 380, 560, 408, 588, 389, 569, 427, 607, 470, 650, 513, 693, 533, 713, 503, 683, 452, 632, 506, 686, 475, 655, 491, 671, 439, 619, 413, 593, 456, 636, 511, 691, 532, 712, 500, 680, 448, 628, 404, 584, 378, 558)(373, 553, 393, 573, 424, 604, 473, 653, 521, 701, 537, 717, 523, 703, 477, 657, 431, 611, 438, 618, 488, 668, 444, 624, 496, 676, 462, 642, 516, 696, 536, 716, 524, 704, 481, 661, 432, 612, 394, 574, 417, 597, 383, 563, 416, 596, 461, 641, 515, 695, 535, 715, 522, 702, 476, 656, 429, 609, 390, 570)(376, 556, 399, 579, 437, 617, 487, 667, 525, 705, 538, 718, 527, 707, 493, 673, 441, 621, 402, 582, 443, 623, 409, 589, 453, 633, 507, 687, 531, 711, 540, 720, 528, 708, 495, 675, 460, 640, 415, 595, 459, 639, 428, 608, 447, 627, 498, 678, 530, 710, 539, 719, 526, 706, 492, 672, 440, 620, 400, 580)
	L = (1, 363)(2, 367)(3, 370)(4, 372)(5, 361)(6, 377)(7, 379)(8, 362)(9, 364)(10, 386)(11, 388)(12, 391)(13, 393)(14, 395)(15, 365)(16, 399)(17, 401)(18, 366)(19, 406)(20, 408)(21, 411)(22, 368)(23, 416)(24, 369)(25, 371)(26, 421)(27, 423)(28, 425)(29, 427)(30, 373)(31, 430)(32, 426)(33, 424)(34, 417)(35, 433)(36, 374)(37, 434)(38, 375)(39, 437)(40, 376)(41, 442)(42, 443)(43, 397)(44, 378)(45, 380)(46, 451)(47, 392)(48, 389)(49, 453)(50, 396)(51, 455)(52, 381)(53, 456)(54, 382)(55, 459)(56, 461)(57, 383)(58, 384)(59, 385)(60, 387)(61, 467)(62, 469)(63, 471)(64, 473)(65, 474)(66, 472)(67, 470)(68, 447)(69, 390)(70, 478)(71, 438)(72, 394)(73, 482)(74, 483)(75, 484)(76, 398)(77, 487)(78, 488)(79, 413)(80, 400)(81, 402)(82, 494)(83, 409)(84, 496)(85, 412)(86, 403)(87, 498)(88, 404)(89, 405)(90, 407)(91, 504)(92, 506)(93, 507)(94, 410)(95, 510)(96, 511)(97, 512)(98, 414)(99, 428)(100, 415)(101, 515)(102, 516)(103, 418)(104, 419)(105, 420)(106, 422)(107, 502)(108, 509)(109, 490)(110, 513)(111, 489)(112, 508)(113, 521)(114, 499)(115, 491)(116, 429)(117, 431)(118, 518)(119, 497)(120, 435)(121, 432)(122, 517)(123, 514)(124, 520)(125, 519)(126, 436)(127, 525)(128, 444)(129, 480)(130, 446)(131, 439)(132, 440)(133, 441)(134, 529)(135, 460)(136, 462)(137, 445)(138, 530)(139, 485)(140, 448)(141, 449)(142, 450)(143, 452)(144, 464)(145, 479)(146, 475)(147, 531)(148, 457)(149, 454)(150, 486)(151, 532)(152, 534)(153, 533)(154, 458)(155, 535)(156, 536)(157, 463)(158, 465)(159, 466)(160, 468)(161, 537)(162, 476)(163, 477)(164, 481)(165, 538)(166, 492)(167, 493)(168, 495)(169, 501)(170, 539)(171, 540)(172, 500)(173, 503)(174, 505)(175, 522)(176, 524)(177, 523)(178, 527)(179, 526)(180, 528)(181, 541)(182, 542)(183, 543)(184, 544)(185, 545)(186, 546)(187, 547)(188, 548)(189, 549)(190, 550)(191, 551)(192, 552)(193, 553)(194, 554)(195, 555)(196, 556)(197, 557)(198, 558)(199, 559)(200, 560)(201, 561)(202, 562)(203, 563)(204, 564)(205, 565)(206, 566)(207, 567)(208, 568)(209, 569)(210, 570)(211, 571)(212, 572)(213, 573)(214, 574)(215, 575)(216, 576)(217, 577)(218, 578)(219, 579)(220, 580)(221, 581)(222, 582)(223, 583)(224, 584)(225, 585)(226, 586)(227, 587)(228, 588)(229, 589)(230, 590)(231, 591)(232, 592)(233, 593)(234, 594)(235, 595)(236, 596)(237, 597)(238, 598)(239, 599)(240, 600)(241, 601)(242, 602)(243, 603)(244, 604)(245, 605)(246, 606)(247, 607)(248, 608)(249, 609)(250, 610)(251, 611)(252, 612)(253, 613)(254, 614)(255, 615)(256, 616)(257, 617)(258, 618)(259, 619)(260, 620)(261, 621)(262, 622)(263, 623)(264, 624)(265, 625)(266, 626)(267, 627)(268, 628)(269, 629)(270, 630)(271, 631)(272, 632)(273, 633)(274, 634)(275, 635)(276, 636)(277, 637)(278, 638)(279, 639)(280, 640)(281, 641)(282, 642)(283, 643)(284, 644)(285, 645)(286, 646)(287, 647)(288, 648)(289, 649)(290, 650)(291, 651)(292, 652)(293, 653)(294, 654)(295, 655)(296, 656)(297, 657)(298, 658)(299, 659)(300, 660)(301, 661)(302, 662)(303, 663)(304, 664)(305, 665)(306, 666)(307, 667)(308, 668)(309, 669)(310, 670)(311, 671)(312, 672)(313, 673)(314, 674)(315, 675)(316, 676)(317, 677)(318, 678)(319, 679)(320, 680)(321, 681)(322, 682)(323, 683)(324, 684)(325, 685)(326, 686)(327, 687)(328, 688)(329, 689)(330, 690)(331, 691)(332, 692)(333, 693)(334, 694)(335, 695)(336, 696)(337, 697)(338, 698)(339, 699)(340, 700)(341, 701)(342, 702)(343, 703)(344, 704)(345, 705)(346, 706)(347, 707)(348, 708)(349, 709)(350, 710)(351, 711)(352, 712)(353, 713)(354, 714)(355, 715)(356, 716)(357, 717)(358, 718)(359, 719)(360, 720)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.2913
Graph:: bipartite
	v = 36 e = 360 f = 270
	degree seq :: [ 12^30, 60^6 ]

E28.2913 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 30})
Quotient :: dipole
Aut^+ = C3 x S3 x D10 (small group id <180, 26>)
Aut   = S3 x S3 x D10 (small group id <360, 137>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^2 * Y2 * Y3 * Y2 * Y3^-2 * Y2 * Y3^-1 * Y2, Y2 * Y3^8 * Y2 * Y3^-2, (Y3 * Y2)^6, Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-3 * Y2 * Y3^3 * Y2 * Y3^-1 * Y2, (Y3^-1 * Y1^-1)^30 ]
Map:: polytopal
	R = (1, 181)(2, 182)(3, 183)(4, 184)(5, 185)(6, 186)(7, 187)(8, 188)(9, 189)(10, 190)(11, 191)(12, 192)(13, 193)(14, 194)(15, 195)(16, 196)(17, 197)(18, 198)(19, 199)(20, 200)(21, 201)(22, 202)(23, 203)(24, 204)(25, 205)(26, 206)(27, 207)(28, 208)(29, 209)(30, 210)(31, 211)(32, 212)(33, 213)(34, 214)(35, 215)(36, 216)(37, 217)(38, 218)(39, 219)(40, 220)(41, 221)(42, 222)(43, 223)(44, 224)(45, 225)(46, 226)(47, 227)(48, 228)(49, 229)(50, 230)(51, 231)(52, 232)(53, 233)(54, 234)(55, 235)(56, 236)(57, 237)(58, 238)(59, 239)(60, 240)(61, 241)(62, 242)(63, 243)(64, 244)(65, 245)(66, 246)(67, 247)(68, 248)(69, 249)(70, 250)(71, 251)(72, 252)(73, 253)(74, 254)(75, 255)(76, 256)(77, 257)(78, 258)(79, 259)(80, 260)(81, 261)(82, 262)(83, 263)(84, 264)(85, 265)(86, 266)(87, 267)(88, 268)(89, 269)(90, 270)(91, 271)(92, 272)(93, 273)(94, 274)(95, 275)(96, 276)(97, 277)(98, 278)(99, 279)(100, 280)(101, 281)(102, 282)(103, 283)(104, 284)(105, 285)(106, 286)(107, 287)(108, 288)(109, 289)(110, 290)(111, 291)(112, 292)(113, 293)(114, 294)(115, 295)(116, 296)(117, 297)(118, 298)(119, 299)(120, 300)(121, 301)(122, 302)(123, 303)(124, 304)(125, 305)(126, 306)(127, 307)(128, 308)(129, 309)(130, 310)(131, 311)(132, 312)(133, 313)(134, 314)(135, 315)(136, 316)(137, 317)(138, 318)(139, 319)(140, 320)(141, 321)(142, 322)(143, 323)(144, 324)(145, 325)(146, 326)(147, 327)(148, 328)(149, 329)(150, 330)(151, 331)(152, 332)(153, 333)(154, 334)(155, 335)(156, 336)(157, 337)(158, 338)(159, 339)(160, 340)(161, 341)(162, 342)(163, 343)(164, 344)(165, 345)(166, 346)(167, 347)(168, 348)(169, 349)(170, 350)(171, 351)(172, 352)(173, 353)(174, 354)(175, 355)(176, 356)(177, 357)(178, 358)(179, 359)(180, 360)(361, 541, 362, 542)(363, 543, 367, 547)(364, 544, 369, 549)(365, 545, 371, 551)(366, 546, 373, 553)(368, 548, 377, 557)(370, 550, 381, 561)(372, 552, 385, 565)(374, 554, 389, 569)(375, 555, 391, 571)(376, 556, 393, 573)(378, 558, 397, 577)(379, 559, 399, 579)(380, 560, 401, 581)(382, 562, 405, 585)(383, 563, 407, 587)(384, 564, 409, 589)(386, 566, 413, 593)(387, 567, 415, 595)(388, 568, 417, 597)(390, 570, 421, 601)(392, 572, 411, 591)(394, 574, 419, 599)(395, 575, 408, 588)(396, 576, 416, 596)(398, 578, 433, 613)(400, 580, 412, 592)(402, 582, 420, 600)(403, 583, 410, 590)(404, 584, 418, 598)(406, 586, 443, 623)(414, 594, 455, 635)(422, 602, 465, 645)(423, 603, 459, 639)(424, 604, 468, 648)(425, 605, 469, 649)(426, 606, 471, 651)(427, 607, 473, 653)(428, 608, 474, 654)(429, 609, 451, 631)(430, 610, 461, 641)(431, 611, 467, 647)(432, 612, 472, 652)(434, 614, 481, 661)(435, 615, 482, 662)(436, 616, 484, 664)(437, 617, 445, 625)(438, 618, 486, 666)(439, 619, 452, 632)(440, 620, 462, 642)(441, 621, 483, 663)(442, 622, 485, 665)(444, 624, 478, 658)(446, 626, 492, 672)(447, 627, 493, 673)(448, 628, 495, 675)(449, 629, 497, 677)(450, 630, 498, 678)(453, 633, 491, 671)(454, 634, 496, 676)(456, 636, 505, 685)(457, 637, 506, 686)(458, 638, 508, 688)(460, 640, 510, 690)(463, 643, 507, 687)(464, 644, 509, 689)(466, 646, 502, 682)(470, 650, 503, 683)(475, 655, 504, 684)(476, 656, 501, 681)(477, 657, 500, 680)(479, 659, 494, 674)(480, 660, 499, 679)(487, 667, 514, 694)(488, 668, 513, 693)(489, 669, 512, 692)(490, 670, 511, 691)(515, 695, 536, 716)(516, 696, 534, 714)(517, 697, 531, 711)(518, 698, 530, 710)(519, 699, 532, 712)(520, 700, 533, 713)(521, 701, 529, 709)(522, 702, 537, 717)(523, 703, 528, 708)(524, 704, 535, 715)(525, 705, 539, 719)(526, 706, 538, 718)(527, 707, 540, 720)
	L = (1, 363)(2, 365)(3, 368)(4, 361)(5, 372)(6, 362)(7, 375)(8, 378)(9, 379)(10, 364)(11, 383)(12, 386)(13, 387)(14, 366)(15, 392)(16, 367)(17, 395)(18, 398)(19, 400)(20, 369)(21, 403)(22, 370)(23, 408)(24, 371)(25, 411)(26, 414)(27, 416)(28, 373)(29, 419)(30, 374)(31, 423)(32, 425)(33, 426)(34, 376)(35, 429)(36, 377)(37, 431)(38, 434)(39, 424)(40, 436)(41, 427)(42, 380)(43, 439)(44, 381)(45, 441)(46, 382)(47, 445)(48, 447)(49, 448)(50, 384)(51, 451)(52, 385)(53, 453)(54, 456)(55, 446)(56, 458)(57, 449)(58, 388)(59, 461)(60, 389)(61, 463)(62, 390)(63, 467)(64, 391)(65, 470)(66, 472)(67, 393)(68, 394)(69, 476)(70, 396)(71, 477)(72, 397)(73, 479)(74, 452)(75, 399)(76, 475)(77, 401)(78, 402)(79, 466)(80, 404)(81, 481)(82, 405)(83, 480)(84, 406)(85, 491)(86, 407)(87, 494)(88, 496)(89, 409)(90, 410)(91, 500)(92, 412)(93, 501)(94, 413)(95, 503)(96, 430)(97, 415)(98, 499)(99, 417)(100, 418)(101, 444)(102, 420)(103, 505)(104, 421)(105, 504)(106, 422)(107, 506)(108, 510)(109, 497)(110, 517)(111, 509)(112, 519)(113, 515)(114, 520)(115, 428)(116, 522)(117, 523)(118, 432)(119, 524)(120, 433)(121, 525)(122, 526)(123, 435)(124, 516)(125, 437)(126, 521)(127, 438)(128, 440)(129, 442)(130, 443)(131, 482)(132, 486)(133, 473)(134, 530)(135, 485)(136, 532)(137, 528)(138, 533)(139, 450)(140, 535)(141, 536)(142, 454)(143, 537)(144, 455)(145, 538)(146, 539)(147, 457)(148, 529)(149, 459)(150, 534)(151, 460)(152, 462)(153, 464)(154, 465)(155, 468)(156, 469)(157, 478)(158, 471)(159, 483)(160, 531)(161, 474)(162, 490)(163, 489)(164, 488)(165, 487)(166, 540)(167, 484)(168, 492)(169, 493)(170, 502)(171, 495)(172, 507)(173, 518)(174, 498)(175, 514)(176, 513)(177, 512)(178, 511)(179, 527)(180, 508)(181, 541)(182, 542)(183, 543)(184, 544)(185, 545)(186, 546)(187, 547)(188, 548)(189, 549)(190, 550)(191, 551)(192, 552)(193, 553)(194, 554)(195, 555)(196, 556)(197, 557)(198, 558)(199, 559)(200, 560)(201, 561)(202, 562)(203, 563)(204, 564)(205, 565)(206, 566)(207, 567)(208, 568)(209, 569)(210, 570)(211, 571)(212, 572)(213, 573)(214, 574)(215, 575)(216, 576)(217, 577)(218, 578)(219, 579)(220, 580)(221, 581)(222, 582)(223, 583)(224, 584)(225, 585)(226, 586)(227, 587)(228, 588)(229, 589)(230, 590)(231, 591)(232, 592)(233, 593)(234, 594)(235, 595)(236, 596)(237, 597)(238, 598)(239, 599)(240, 600)(241, 601)(242, 602)(243, 603)(244, 604)(245, 605)(246, 606)(247, 607)(248, 608)(249, 609)(250, 610)(251, 611)(252, 612)(253, 613)(254, 614)(255, 615)(256, 616)(257, 617)(258, 618)(259, 619)(260, 620)(261, 621)(262, 622)(263, 623)(264, 624)(265, 625)(266, 626)(267, 627)(268, 628)(269, 629)(270, 630)(271, 631)(272, 632)(273, 633)(274, 634)(275, 635)(276, 636)(277, 637)(278, 638)(279, 639)(280, 640)(281, 641)(282, 642)(283, 643)(284, 644)(285, 645)(286, 646)(287, 647)(288, 648)(289, 649)(290, 650)(291, 651)(292, 652)(293, 653)(294, 654)(295, 655)(296, 656)(297, 657)(298, 658)(299, 659)(300, 660)(301, 661)(302, 662)(303, 663)(304, 664)(305, 665)(306, 666)(307, 667)(308, 668)(309, 669)(310, 670)(311, 671)(312, 672)(313, 673)(314, 674)(315, 675)(316, 676)(317, 677)(318, 678)(319, 679)(320, 680)(321, 681)(322, 682)(323, 683)(324, 684)(325, 685)(326, 686)(327, 687)(328, 688)(329, 689)(330, 690)(331, 691)(332, 692)(333, 693)(334, 694)(335, 695)(336, 696)(337, 697)(338, 698)(339, 699)(340, 700)(341, 701)(342, 702)(343, 703)(344, 704)(345, 705)(346, 706)(347, 707)(348, 708)(349, 709)(350, 710)(351, 711)(352, 712)(353, 713)(354, 714)(355, 715)(356, 716)(357, 717)(358, 718)(359, 719)(360, 720)
	local type(s) :: { ( 12, 60 ), ( 12, 60, 12, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.2912
Graph:: simple bipartite
	v = 270 e = 360 f = 36
	degree seq :: [ 2^180, 4^90 ]

E28.2914 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 30})
Quotient :: dipole
Aut^+ = C3 x S3 x D10 (small group id <180, 26>)
Aut   = S3 x S3 x D10 (small group id <360, 137>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y1^-1 * Y3 * Y1 * Y3 * Y1^2 * Y3 * Y1^-1 * Y3 * Y1^-1, Y1^8 * Y3 * Y1^-2 * Y3, (Y3 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 181, 2, 182, 5, 185, 11, 191, 23, 203, 47, 227, 85, 265, 65, 245, 32, 212, 56, 236, 94, 274, 136, 316, 169, 349, 165, 345, 120, 300, 154, 334, 107, 287, 145, 325, 174, 354, 163, 343, 117, 297, 72, 252, 37, 217, 61, 241, 97, 277, 84, 264, 46, 226, 22, 202, 10, 190, 4, 184)(3, 183, 7, 187, 15, 195, 31, 211, 63, 243, 98, 278, 54, 234, 26, 206, 12, 192, 25, 205, 51, 231, 93, 273, 140, 320, 130, 310, 83, 263, 88, 268, 48, 228, 87, 267, 132, 312, 128, 308, 80, 260, 44, 224, 21, 201, 43, 223, 79, 259, 121, 301, 74, 254, 38, 218, 18, 198, 8, 188)(6, 186, 13, 193, 27, 207, 55, 235, 99, 279, 139, 319, 92, 272, 50, 230, 24, 204, 49, 229, 89, 269, 135, 315, 129, 309, 82, 262, 45, 225, 81, 261, 86, 266, 131, 311, 127, 307, 78, 258, 42, 222, 20, 200, 9, 189, 19, 199, 39, 219, 75, 255, 106, 286, 62, 242, 30, 210, 14, 194)(16, 196, 33, 213, 52, 232, 95, 275, 133, 313, 170, 350, 157, 337, 109, 289, 64, 244, 108, 288, 141, 321, 175, 355, 164, 344, 119, 299, 73, 253, 118, 298, 144, 324, 178, 358, 162, 342, 116, 296, 71, 251, 36, 216, 17, 197, 35, 215, 53, 233, 96, 276, 134, 314, 114, 294, 68, 248, 34, 214)(28, 208, 57, 237, 90, 270, 137, 317, 168, 348, 166, 346, 122, 302, 147, 327, 100, 280, 146, 326, 171, 351, 158, 338, 126, 306, 153, 333, 105, 285, 152, 332, 173, 353, 159, 339, 125, 305, 77, 257, 41, 221, 60, 240, 29, 209, 59, 239, 91, 271, 138, 318, 124, 304, 76, 256, 40, 220, 58, 238)(66, 246, 110, 290, 155, 335, 123, 303, 167, 347, 177, 357, 143, 323, 176, 356, 142, 322, 104, 284, 150, 330, 102, 282, 149, 329, 179, 359, 160, 340, 180, 360, 151, 331, 103, 283, 148, 328, 101, 281, 70, 250, 113, 293, 67, 247, 112, 292, 156, 336, 172, 352, 161, 341, 115, 295, 69, 249, 111, 291)(361, 541)(362, 542)(363, 543)(364, 544)(365, 545)(366, 546)(367, 547)(368, 548)(369, 549)(370, 550)(371, 551)(372, 552)(373, 553)(374, 554)(375, 555)(376, 556)(377, 557)(378, 558)(379, 559)(380, 560)(381, 561)(382, 562)(383, 563)(384, 564)(385, 565)(386, 566)(387, 567)(388, 568)(389, 569)(390, 570)(391, 571)(392, 572)(393, 573)(394, 574)(395, 575)(396, 576)(397, 577)(398, 578)(399, 579)(400, 580)(401, 581)(402, 582)(403, 583)(404, 584)(405, 585)(406, 586)(407, 587)(408, 588)(409, 589)(410, 590)(411, 591)(412, 592)(413, 593)(414, 594)(415, 595)(416, 596)(417, 597)(418, 598)(419, 599)(420, 600)(421, 601)(422, 602)(423, 603)(424, 604)(425, 605)(426, 606)(427, 607)(428, 608)(429, 609)(430, 610)(431, 611)(432, 612)(433, 613)(434, 614)(435, 615)(436, 616)(437, 617)(438, 618)(439, 619)(440, 620)(441, 621)(442, 622)(443, 623)(444, 624)(445, 625)(446, 626)(447, 627)(448, 628)(449, 629)(450, 630)(451, 631)(452, 632)(453, 633)(454, 634)(455, 635)(456, 636)(457, 637)(458, 638)(459, 639)(460, 640)(461, 641)(462, 642)(463, 643)(464, 644)(465, 645)(466, 646)(467, 647)(468, 648)(469, 649)(470, 650)(471, 651)(472, 652)(473, 653)(474, 654)(475, 655)(476, 656)(477, 657)(478, 658)(479, 659)(480, 660)(481, 661)(482, 662)(483, 663)(484, 664)(485, 665)(486, 666)(487, 667)(488, 668)(489, 669)(490, 670)(491, 671)(492, 672)(493, 673)(494, 674)(495, 675)(496, 676)(497, 677)(498, 678)(499, 679)(500, 680)(501, 681)(502, 682)(503, 683)(504, 684)(505, 685)(506, 686)(507, 687)(508, 688)(509, 689)(510, 690)(511, 691)(512, 692)(513, 693)(514, 694)(515, 695)(516, 696)(517, 697)(518, 698)(519, 699)(520, 700)(521, 701)(522, 702)(523, 703)(524, 704)(525, 705)(526, 706)(527, 707)(528, 708)(529, 709)(530, 710)(531, 711)(532, 712)(533, 713)(534, 714)(535, 715)(536, 716)(537, 717)(538, 718)(539, 719)(540, 720)
	L = (1, 363)(2, 366)(3, 361)(4, 369)(5, 372)(6, 362)(7, 376)(8, 377)(9, 364)(10, 381)(11, 384)(12, 365)(13, 388)(14, 389)(15, 392)(16, 367)(17, 368)(18, 397)(19, 400)(20, 401)(21, 370)(22, 405)(23, 408)(24, 371)(25, 412)(26, 413)(27, 416)(28, 373)(29, 374)(30, 421)(31, 424)(32, 375)(33, 426)(34, 427)(35, 429)(36, 430)(37, 378)(38, 433)(39, 425)(40, 379)(41, 380)(42, 432)(43, 428)(44, 431)(45, 382)(46, 443)(47, 446)(48, 383)(49, 450)(50, 451)(51, 454)(52, 385)(53, 386)(54, 457)(55, 460)(56, 387)(57, 461)(58, 462)(59, 463)(60, 464)(61, 390)(62, 465)(63, 467)(64, 391)(65, 399)(66, 393)(67, 394)(68, 403)(69, 395)(70, 396)(71, 404)(72, 402)(73, 398)(74, 480)(75, 482)(76, 483)(77, 470)(78, 486)(79, 445)(80, 477)(81, 484)(82, 485)(83, 406)(84, 452)(85, 439)(86, 407)(87, 493)(88, 494)(89, 496)(90, 409)(91, 410)(92, 444)(93, 501)(94, 411)(95, 502)(96, 503)(97, 414)(98, 504)(99, 505)(100, 415)(101, 417)(102, 418)(103, 419)(104, 420)(105, 422)(106, 514)(107, 423)(108, 515)(109, 516)(110, 437)(111, 518)(112, 519)(113, 506)(114, 520)(115, 497)(116, 509)(117, 440)(118, 521)(119, 508)(120, 434)(121, 517)(122, 435)(123, 436)(124, 441)(125, 442)(126, 438)(127, 525)(128, 524)(129, 523)(130, 522)(131, 528)(132, 529)(133, 447)(134, 448)(135, 531)(136, 449)(137, 475)(138, 532)(139, 533)(140, 534)(141, 453)(142, 455)(143, 456)(144, 458)(145, 459)(146, 473)(147, 539)(148, 479)(149, 476)(150, 535)(151, 530)(152, 540)(153, 536)(154, 466)(155, 468)(156, 469)(157, 481)(158, 471)(159, 472)(160, 474)(161, 478)(162, 490)(163, 489)(164, 488)(165, 487)(166, 537)(167, 538)(168, 491)(169, 492)(170, 511)(171, 495)(172, 498)(173, 499)(174, 500)(175, 510)(176, 513)(177, 526)(178, 527)(179, 507)(180, 512)(181, 541)(182, 542)(183, 543)(184, 544)(185, 545)(186, 546)(187, 547)(188, 548)(189, 549)(190, 550)(191, 551)(192, 552)(193, 553)(194, 554)(195, 555)(196, 556)(197, 557)(198, 558)(199, 559)(200, 560)(201, 561)(202, 562)(203, 563)(204, 564)(205, 565)(206, 566)(207, 567)(208, 568)(209, 569)(210, 570)(211, 571)(212, 572)(213, 573)(214, 574)(215, 575)(216, 576)(217, 577)(218, 578)(219, 579)(220, 580)(221, 581)(222, 582)(223, 583)(224, 584)(225, 585)(226, 586)(227, 587)(228, 588)(229, 589)(230, 590)(231, 591)(232, 592)(233, 593)(234, 594)(235, 595)(236, 596)(237, 597)(238, 598)(239, 599)(240, 600)(241, 601)(242, 602)(243, 603)(244, 604)(245, 605)(246, 606)(247, 607)(248, 608)(249, 609)(250, 610)(251, 611)(252, 612)(253, 613)(254, 614)(255, 615)(256, 616)(257, 617)(258, 618)(259, 619)(260, 620)(261, 621)(262, 622)(263, 623)(264, 624)(265, 625)(266, 626)(267, 627)(268, 628)(269, 629)(270, 630)(271, 631)(272, 632)(273, 633)(274, 634)(275, 635)(276, 636)(277, 637)(278, 638)(279, 639)(280, 640)(281, 641)(282, 642)(283, 643)(284, 644)(285, 645)(286, 646)(287, 647)(288, 648)(289, 649)(290, 650)(291, 651)(292, 652)(293, 653)(294, 654)(295, 655)(296, 656)(297, 657)(298, 658)(299, 659)(300, 660)(301, 661)(302, 662)(303, 663)(304, 664)(305, 665)(306, 666)(307, 667)(308, 668)(309, 669)(310, 670)(311, 671)(312, 672)(313, 673)(314, 674)(315, 675)(316, 676)(317, 677)(318, 678)(319, 679)(320, 680)(321, 681)(322, 682)(323, 683)(324, 684)(325, 685)(326, 686)(327, 687)(328, 688)(329, 689)(330, 690)(331, 691)(332, 692)(333, 693)(334, 694)(335, 695)(336, 696)(337, 697)(338, 698)(339, 699)(340, 700)(341, 701)(342, 702)(343, 703)(344, 704)(345, 705)(346, 706)(347, 707)(348, 708)(349, 709)(350, 710)(351, 711)(352, 712)(353, 713)(354, 714)(355, 715)(356, 716)(357, 717)(358, 718)(359, 719)(360, 720)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2911
Graph:: simple bipartite
	v = 186 e = 360 f = 120
	degree seq :: [ 2^180, 60^6 ]

E28.2915 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 30})
Quotient :: dipole
Aut^+ = C3 x S3 x D10 (small group id <180, 26>)
Aut   = S3 x S3 x D10 (small group id <360, 137>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1 * R * Y2^-1)^2, Y2^2 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2 * Y1, Y2^-3 * Y1 * Y2^2 * Y1 * Y2^-5, (Y3 * Y2^-1)^6, Y1 * Y2^2 * Y1 * Y2^-2 * R * Y2^-6 * R, Y2 * Y1 * Y2^-3 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^3 * Y1 * Y2^-1 * Y1 ]
Map::
	R = (1, 181, 2, 182)(3, 183, 7, 187)(4, 184, 9, 189)(5, 185, 11, 191)(6, 186, 13, 193)(8, 188, 17, 197)(10, 190, 21, 201)(12, 192, 25, 205)(14, 194, 29, 209)(15, 195, 31, 211)(16, 196, 33, 213)(18, 198, 37, 217)(19, 199, 39, 219)(20, 200, 41, 221)(22, 202, 45, 225)(23, 203, 47, 227)(24, 204, 49, 229)(26, 206, 53, 233)(27, 207, 55, 235)(28, 208, 57, 237)(30, 210, 61, 241)(32, 212, 51, 231)(34, 214, 59, 239)(35, 215, 48, 228)(36, 216, 56, 236)(38, 218, 73, 253)(40, 220, 52, 232)(42, 222, 60, 240)(43, 223, 50, 230)(44, 224, 58, 238)(46, 226, 83, 263)(54, 234, 95, 275)(62, 242, 105, 285)(63, 243, 99, 279)(64, 244, 108, 288)(65, 245, 109, 289)(66, 246, 111, 291)(67, 247, 113, 293)(68, 248, 114, 294)(69, 249, 91, 271)(70, 250, 101, 281)(71, 251, 107, 287)(72, 252, 112, 292)(74, 254, 121, 301)(75, 255, 122, 302)(76, 256, 124, 304)(77, 257, 85, 265)(78, 258, 126, 306)(79, 259, 92, 272)(80, 260, 102, 282)(81, 261, 123, 303)(82, 262, 125, 305)(84, 264, 118, 298)(86, 266, 132, 312)(87, 267, 133, 313)(88, 268, 135, 315)(89, 269, 137, 317)(90, 270, 138, 318)(93, 273, 131, 311)(94, 274, 136, 316)(96, 276, 145, 325)(97, 277, 146, 326)(98, 278, 148, 328)(100, 280, 150, 330)(103, 283, 147, 327)(104, 284, 149, 329)(106, 286, 142, 322)(110, 290, 143, 323)(115, 295, 144, 324)(116, 296, 141, 321)(117, 297, 140, 320)(119, 299, 134, 314)(120, 300, 139, 319)(127, 307, 154, 334)(128, 308, 153, 333)(129, 309, 152, 332)(130, 310, 151, 331)(155, 335, 176, 356)(156, 336, 174, 354)(157, 337, 171, 351)(158, 338, 170, 350)(159, 339, 172, 352)(160, 340, 173, 353)(161, 341, 169, 349)(162, 342, 177, 357)(163, 343, 168, 348)(164, 344, 175, 355)(165, 345, 179, 359)(166, 346, 178, 358)(167, 347, 180, 360)(361, 541, 363, 543, 368, 548, 378, 558, 398, 578, 434, 614, 452, 632, 412, 592, 385, 565, 411, 591, 451, 631, 500, 680, 535, 715, 514, 694, 465, 645, 504, 684, 455, 635, 503, 683, 537, 717, 512, 692, 462, 642, 420, 600, 389, 569, 419, 599, 461, 641, 444, 624, 406, 586, 382, 562, 370, 550, 364, 544)(362, 542, 365, 545, 372, 552, 386, 566, 414, 594, 456, 636, 430, 610, 396, 576, 377, 557, 395, 575, 429, 609, 476, 656, 522, 702, 490, 670, 443, 623, 480, 660, 433, 613, 479, 659, 524, 704, 488, 668, 440, 620, 404, 584, 381, 561, 403, 583, 439, 619, 466, 646, 422, 602, 390, 570, 374, 554, 366, 546)(367, 547, 375, 555, 392, 572, 425, 605, 470, 650, 517, 697, 478, 658, 432, 612, 397, 577, 431, 611, 477, 657, 523, 703, 489, 669, 442, 622, 405, 585, 441, 621, 481, 661, 525, 705, 487, 667, 438, 618, 402, 582, 380, 560, 369, 549, 379, 559, 400, 580, 436, 616, 475, 655, 428, 608, 394, 574, 376, 556)(371, 551, 383, 563, 408, 588, 447, 627, 494, 674, 530, 710, 502, 682, 454, 634, 413, 593, 453, 633, 501, 681, 536, 716, 513, 693, 464, 644, 421, 601, 463, 643, 505, 685, 538, 718, 511, 691, 460, 640, 418, 598, 388, 568, 373, 553, 387, 567, 416, 596, 458, 638, 499, 679, 450, 630, 410, 590, 384, 564)(391, 571, 423, 603, 467, 647, 506, 686, 539, 719, 527, 707, 484, 664, 516, 696, 469, 649, 497, 677, 528, 708, 492, 672, 486, 666, 521, 701, 474, 654, 520, 700, 531, 711, 495, 675, 485, 665, 437, 617, 401, 581, 427, 607, 393, 573, 426, 606, 472, 652, 519, 699, 483, 663, 435, 615, 399, 579, 424, 604)(407, 587, 445, 625, 491, 671, 482, 662, 526, 706, 540, 720, 508, 688, 529, 709, 493, 673, 473, 653, 515, 695, 468, 648, 510, 690, 534, 714, 498, 678, 533, 713, 518, 698, 471, 651, 509, 689, 459, 639, 417, 597, 449, 629, 409, 589, 448, 628, 496, 676, 532, 712, 507, 687, 457, 637, 415, 595, 446, 626)
	L = (1, 362)(2, 361)(3, 367)(4, 369)(5, 371)(6, 373)(7, 363)(8, 377)(9, 364)(10, 381)(11, 365)(12, 385)(13, 366)(14, 389)(15, 391)(16, 393)(17, 368)(18, 397)(19, 399)(20, 401)(21, 370)(22, 405)(23, 407)(24, 409)(25, 372)(26, 413)(27, 415)(28, 417)(29, 374)(30, 421)(31, 375)(32, 411)(33, 376)(34, 419)(35, 408)(36, 416)(37, 378)(38, 433)(39, 379)(40, 412)(41, 380)(42, 420)(43, 410)(44, 418)(45, 382)(46, 443)(47, 383)(48, 395)(49, 384)(50, 403)(51, 392)(52, 400)(53, 386)(54, 455)(55, 387)(56, 396)(57, 388)(58, 404)(59, 394)(60, 402)(61, 390)(62, 465)(63, 459)(64, 468)(65, 469)(66, 471)(67, 473)(68, 474)(69, 451)(70, 461)(71, 467)(72, 472)(73, 398)(74, 481)(75, 482)(76, 484)(77, 445)(78, 486)(79, 452)(80, 462)(81, 483)(82, 485)(83, 406)(84, 478)(85, 437)(86, 492)(87, 493)(88, 495)(89, 497)(90, 498)(91, 429)(92, 439)(93, 491)(94, 496)(95, 414)(96, 505)(97, 506)(98, 508)(99, 423)(100, 510)(101, 430)(102, 440)(103, 507)(104, 509)(105, 422)(106, 502)(107, 431)(108, 424)(109, 425)(110, 503)(111, 426)(112, 432)(113, 427)(114, 428)(115, 504)(116, 501)(117, 500)(118, 444)(119, 494)(120, 499)(121, 434)(122, 435)(123, 441)(124, 436)(125, 442)(126, 438)(127, 514)(128, 513)(129, 512)(130, 511)(131, 453)(132, 446)(133, 447)(134, 479)(135, 448)(136, 454)(137, 449)(138, 450)(139, 480)(140, 477)(141, 476)(142, 466)(143, 470)(144, 475)(145, 456)(146, 457)(147, 463)(148, 458)(149, 464)(150, 460)(151, 490)(152, 489)(153, 488)(154, 487)(155, 536)(156, 534)(157, 531)(158, 530)(159, 532)(160, 533)(161, 529)(162, 537)(163, 528)(164, 535)(165, 539)(166, 538)(167, 540)(168, 523)(169, 521)(170, 518)(171, 517)(172, 519)(173, 520)(174, 516)(175, 524)(176, 515)(177, 522)(178, 526)(179, 525)(180, 527)(181, 541)(182, 542)(183, 543)(184, 544)(185, 545)(186, 546)(187, 547)(188, 548)(189, 549)(190, 550)(191, 551)(192, 552)(193, 553)(194, 554)(195, 555)(196, 556)(197, 557)(198, 558)(199, 559)(200, 560)(201, 561)(202, 562)(203, 563)(204, 564)(205, 565)(206, 566)(207, 567)(208, 568)(209, 569)(210, 570)(211, 571)(212, 572)(213, 573)(214, 574)(215, 575)(216, 576)(217, 577)(218, 578)(219, 579)(220, 580)(221, 581)(222, 582)(223, 583)(224, 584)(225, 585)(226, 586)(227, 587)(228, 588)(229, 589)(230, 590)(231, 591)(232, 592)(233, 593)(234, 594)(235, 595)(236, 596)(237, 597)(238, 598)(239, 599)(240, 600)(241, 601)(242, 602)(243, 603)(244, 604)(245, 605)(246, 606)(247, 607)(248, 608)(249, 609)(250, 610)(251, 611)(252, 612)(253, 613)(254, 614)(255, 615)(256, 616)(257, 617)(258, 618)(259, 619)(260, 620)(261, 621)(262, 622)(263, 623)(264, 624)(265, 625)(266, 626)(267, 627)(268, 628)(269, 629)(270, 630)(271, 631)(272, 632)(273, 633)(274, 634)(275, 635)(276, 636)(277, 637)(278, 638)(279, 639)(280, 640)(281, 641)(282, 642)(283, 643)(284, 644)(285, 645)(286, 646)(287, 647)(288, 648)(289, 649)(290, 650)(291, 651)(292, 652)(293, 653)(294, 654)(295, 655)(296, 656)(297, 657)(298, 658)(299, 659)(300, 660)(301, 661)(302, 662)(303, 663)(304, 664)(305, 665)(306, 666)(307, 667)(308, 668)(309, 669)(310, 670)(311, 671)(312, 672)(313, 673)(314, 674)(315, 675)(316, 676)(317, 677)(318, 678)(319, 679)(320, 680)(321, 681)(322, 682)(323, 683)(324, 684)(325, 685)(326, 686)(327, 687)(328, 688)(329, 689)(330, 690)(331, 691)(332, 692)(333, 693)(334, 694)(335, 695)(336, 696)(337, 697)(338, 698)(339, 699)(340, 700)(341, 701)(342, 702)(343, 703)(344, 704)(345, 705)(346, 706)(347, 707)(348, 708)(349, 709)(350, 710)(351, 711)(352, 712)(353, 713)(354, 714)(355, 715)(356, 716)(357, 717)(358, 718)(359, 719)(360, 720)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2916
Graph:: bipartite
	v = 96 e = 360 f = 210
	degree seq :: [ 4^90, 60^6 ]

E28.2916 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 30})
Quotient :: dipole
Aut^+ = C3 x S3 x D10 (small group id <180, 26>)
Aut   = S3 x S3 x D10 (small group id <360, 137>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y1^6, (R * Y2 * Y3^-1)^2, Y1 * Y3 * Y1^-5 * Y3, Y3^-1 * Y1 * Y3 * Y1^-1 * Y3^2 * Y1^2, Y1^-2 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-2, Y3 * Y1 * Y3^-8 * Y1^-1 * Y3, Y1^-1 * Y3 * Y1^-2 * Y3 * Y1^-1 * Y3 * Y1^-2 * Y3 * Y1^-2, (Y3 * Y2^-1)^30 ]
Map:: polytopal
	R = (1, 181, 2, 182, 6, 186, 16, 196, 13, 193, 4, 184)(3, 183, 9, 189, 23, 203, 55, 235, 29, 209, 11, 191)(5, 185, 14, 194, 34, 214, 49, 229, 20, 200, 7, 187)(8, 188, 21, 201, 50, 230, 84, 264, 42, 222, 17, 197)(10, 190, 25, 205, 41, 221, 81, 261, 64, 244, 27, 207)(12, 192, 30, 210, 68, 248, 115, 295, 65, 245, 32, 212)(15, 195, 37, 217, 44, 224, 87, 267, 69, 249, 35, 215)(18, 198, 43, 223, 85, 265, 129, 309, 78, 258, 39, 219)(19, 199, 45, 225, 77, 257, 71, 251, 31, 211, 47, 227)(22, 202, 53, 233, 80, 260, 56, 236, 24, 204, 51, 231)(26, 206, 60, 240, 101, 281, 132, 312, 110, 290, 62, 242)(28, 208, 48, 228, 83, 263, 128, 308, 111, 291, 66, 246)(33, 213, 40, 220, 79, 259, 130, 310, 112, 292, 63, 243)(36, 216, 52, 232, 86, 266, 131, 311, 99, 279, 57, 237)(38, 218, 75, 255, 121, 301, 127, 307, 89, 269, 74, 254)(46, 226, 90, 270, 73, 253, 116, 296, 147, 327, 92, 272)(54, 234, 97, 277, 149, 329, 113, 293, 133, 313, 96, 276)(58, 238, 102, 282, 135, 315, 82, 262, 59, 239, 95, 275)(61, 241, 106, 286, 134, 314, 168, 348, 161, 341, 108, 288)(67, 247, 100, 280, 136, 316, 94, 274, 148, 328, 109, 289)(70, 250, 117, 297, 138, 318, 88, 268, 139, 319, 119, 299)(72, 252, 120, 300, 137, 317, 114, 294, 146, 326, 93, 273)(76, 256, 125, 305, 140, 320, 171, 351, 162, 342, 124, 304)(91, 271, 143, 323, 165, 345, 164, 344, 118, 298, 145, 325)(98, 278, 153, 333, 166, 346, 156, 336, 103, 283, 152, 332)(104, 284, 151, 331, 167, 347, 155, 335, 105, 285, 150, 330)(107, 287, 160, 340, 175, 355, 178, 358, 173, 353, 154, 334)(122, 302, 142, 322, 123, 303, 141, 321, 170, 350, 163, 343)(126, 306, 158, 338, 176, 356, 179, 359, 169, 349, 159, 339)(144, 324, 174, 354, 157, 337, 177, 357, 180, 360, 172, 352)(361, 541)(362, 542)(363, 543)(364, 544)(365, 545)(366, 546)(367, 547)(368, 548)(369, 549)(370, 550)(371, 551)(372, 552)(373, 553)(374, 554)(375, 555)(376, 556)(377, 557)(378, 558)(379, 559)(380, 560)(381, 561)(382, 562)(383, 563)(384, 564)(385, 565)(386, 566)(387, 567)(388, 568)(389, 569)(390, 570)(391, 571)(392, 572)(393, 573)(394, 574)(395, 575)(396, 576)(397, 577)(398, 578)(399, 579)(400, 580)(401, 581)(402, 582)(403, 583)(404, 584)(405, 585)(406, 586)(407, 587)(408, 588)(409, 589)(410, 590)(411, 591)(412, 592)(413, 593)(414, 594)(415, 595)(416, 596)(417, 597)(418, 598)(419, 599)(420, 600)(421, 601)(422, 602)(423, 603)(424, 604)(425, 605)(426, 606)(427, 607)(428, 608)(429, 609)(430, 610)(431, 611)(432, 612)(433, 613)(434, 614)(435, 615)(436, 616)(437, 617)(438, 618)(439, 619)(440, 620)(441, 621)(442, 622)(443, 623)(444, 624)(445, 625)(446, 626)(447, 627)(448, 628)(449, 629)(450, 630)(451, 631)(452, 632)(453, 633)(454, 634)(455, 635)(456, 636)(457, 637)(458, 638)(459, 639)(460, 640)(461, 641)(462, 642)(463, 643)(464, 644)(465, 645)(466, 646)(467, 647)(468, 648)(469, 649)(470, 650)(471, 651)(472, 652)(473, 653)(474, 654)(475, 655)(476, 656)(477, 657)(478, 658)(479, 659)(480, 660)(481, 661)(482, 662)(483, 663)(484, 664)(485, 665)(486, 666)(487, 667)(488, 668)(489, 669)(490, 670)(491, 671)(492, 672)(493, 673)(494, 674)(495, 675)(496, 676)(497, 677)(498, 678)(499, 679)(500, 680)(501, 681)(502, 682)(503, 683)(504, 684)(505, 685)(506, 686)(507, 687)(508, 688)(509, 689)(510, 690)(511, 691)(512, 692)(513, 693)(514, 694)(515, 695)(516, 696)(517, 697)(518, 698)(519, 699)(520, 700)(521, 701)(522, 702)(523, 703)(524, 704)(525, 705)(526, 706)(527, 707)(528, 708)(529, 709)(530, 710)(531, 711)(532, 712)(533, 713)(534, 714)(535, 715)(536, 716)(537, 717)(538, 718)(539, 719)(540, 720)
	L = (1, 363)(2, 367)(3, 370)(4, 372)(5, 361)(6, 377)(7, 379)(8, 362)(9, 364)(10, 386)(11, 388)(12, 391)(13, 393)(14, 395)(15, 365)(16, 399)(17, 401)(18, 366)(19, 406)(20, 408)(21, 411)(22, 368)(23, 416)(24, 369)(25, 371)(26, 421)(27, 423)(28, 425)(29, 427)(30, 373)(31, 430)(32, 426)(33, 424)(34, 417)(35, 433)(36, 374)(37, 434)(38, 375)(39, 437)(40, 376)(41, 442)(42, 443)(43, 397)(44, 378)(45, 380)(46, 451)(47, 392)(48, 389)(49, 453)(50, 396)(51, 455)(52, 381)(53, 456)(54, 382)(55, 459)(56, 461)(57, 383)(58, 384)(59, 385)(60, 387)(61, 467)(62, 469)(63, 471)(64, 473)(65, 474)(66, 472)(67, 470)(68, 447)(69, 390)(70, 478)(71, 438)(72, 394)(73, 482)(74, 483)(75, 484)(76, 398)(77, 487)(78, 488)(79, 413)(80, 400)(81, 402)(82, 494)(83, 409)(84, 496)(85, 412)(86, 403)(87, 498)(88, 404)(89, 405)(90, 407)(91, 504)(92, 506)(93, 507)(94, 410)(95, 510)(96, 511)(97, 512)(98, 414)(99, 428)(100, 415)(101, 515)(102, 516)(103, 418)(104, 419)(105, 420)(106, 422)(107, 502)(108, 509)(109, 490)(110, 513)(111, 489)(112, 508)(113, 521)(114, 499)(115, 491)(116, 429)(117, 431)(118, 518)(119, 497)(120, 435)(121, 432)(122, 517)(123, 514)(124, 520)(125, 519)(126, 436)(127, 525)(128, 444)(129, 480)(130, 446)(131, 439)(132, 440)(133, 441)(134, 529)(135, 460)(136, 462)(137, 445)(138, 530)(139, 485)(140, 448)(141, 449)(142, 450)(143, 452)(144, 464)(145, 479)(146, 475)(147, 531)(148, 457)(149, 454)(150, 486)(151, 532)(152, 534)(153, 533)(154, 458)(155, 535)(156, 536)(157, 463)(158, 465)(159, 466)(160, 468)(161, 537)(162, 476)(163, 477)(164, 481)(165, 538)(166, 492)(167, 493)(168, 495)(169, 501)(170, 539)(171, 540)(172, 500)(173, 503)(174, 505)(175, 522)(176, 524)(177, 523)(178, 527)(179, 526)(180, 528)(181, 541)(182, 542)(183, 543)(184, 544)(185, 545)(186, 546)(187, 547)(188, 548)(189, 549)(190, 550)(191, 551)(192, 552)(193, 553)(194, 554)(195, 555)(196, 556)(197, 557)(198, 558)(199, 559)(200, 560)(201, 561)(202, 562)(203, 563)(204, 564)(205, 565)(206, 566)(207, 567)(208, 568)(209, 569)(210, 570)(211, 571)(212, 572)(213, 573)(214, 574)(215, 575)(216, 576)(217, 577)(218, 578)(219, 579)(220, 580)(221, 581)(222, 582)(223, 583)(224, 584)(225, 585)(226, 586)(227, 587)(228, 588)(229, 589)(230, 590)(231, 591)(232, 592)(233, 593)(234, 594)(235, 595)(236, 596)(237, 597)(238, 598)(239, 599)(240, 600)(241, 601)(242, 602)(243, 603)(244, 604)(245, 605)(246, 606)(247, 607)(248, 608)(249, 609)(250, 610)(251, 611)(252, 612)(253, 613)(254, 614)(255, 615)(256, 616)(257, 617)(258, 618)(259, 619)(260, 620)(261, 621)(262, 622)(263, 623)(264, 624)(265, 625)(266, 626)(267, 627)(268, 628)(269, 629)(270, 630)(271, 631)(272, 632)(273, 633)(274, 634)(275, 635)(276, 636)(277, 637)(278, 638)(279, 639)(280, 640)(281, 641)(282, 642)(283, 643)(284, 644)(285, 645)(286, 646)(287, 647)(288, 648)(289, 649)(290, 650)(291, 651)(292, 652)(293, 653)(294, 654)(295, 655)(296, 656)(297, 657)(298, 658)(299, 659)(300, 660)(301, 661)(302, 662)(303, 663)(304, 664)(305, 665)(306, 666)(307, 667)(308, 668)(309, 669)(310, 670)(311, 671)(312, 672)(313, 673)(314, 674)(315, 675)(316, 676)(317, 677)(318, 678)(319, 679)(320, 680)(321, 681)(322, 682)(323, 683)(324, 684)(325, 685)(326, 686)(327, 687)(328, 688)(329, 689)(330, 690)(331, 691)(332, 692)(333, 693)(334, 694)(335, 695)(336, 696)(337, 697)(338, 698)(339, 699)(340, 700)(341, 701)(342, 702)(343, 703)(344, 704)(345, 705)(346, 706)(347, 707)(348, 708)(349, 709)(350, 710)(351, 711)(352, 712)(353, 713)(354, 714)(355, 715)(356, 716)(357, 717)(358, 718)(359, 719)(360, 720)
	local type(s) :: { ( 4, 60 ), ( 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.2915
Graph:: simple bipartite
	v = 210 e = 360 f = 96
	degree seq :: [ 2^180, 12^30 ]

E28.2917 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 30})
Quotient :: regular
Aut^+ = C6 x D30 (small group id <180, 34>)
Aut   = C2 x S3 x D30 (small group id <360, 154>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-3)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1^30 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 39, 53, 65, 77, 89, 101, 113, 125, 137, 149, 161, 160, 148, 136, 124, 112, 100, 88, 76, 64, 52, 38, 22, 10, 4)(3, 7, 15, 31, 47, 59, 71, 83, 95, 107, 119, 131, 143, 155, 167, 172, 165, 151, 138, 129, 115, 102, 93, 79, 66, 57, 41, 24, 18, 8)(6, 13, 27, 21, 37, 51, 63, 75, 87, 99, 111, 123, 135, 147, 159, 171, 175, 163, 150, 141, 127, 114, 105, 91, 78, 69, 55, 40, 30, 14)(9, 19, 36, 50, 62, 74, 86, 98, 110, 122, 134, 146, 158, 170, 173, 162, 153, 139, 126, 117, 103, 90, 81, 67, 54, 44, 26, 12, 25, 20)(16, 28, 42, 35, 46, 58, 70, 82, 94, 106, 118, 130, 142, 154, 166, 176, 180, 178, 168, 157, 145, 132, 121, 109, 96, 85, 73, 60, 49, 33)(17, 29, 43, 56, 68, 80, 92, 104, 116, 128, 140, 152, 164, 174, 179, 177, 169, 156, 144, 133, 120, 108, 97, 84, 72, 61, 48, 32, 45, 34)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 35)(19, 33)(20, 34)(22, 31)(23, 40)(25, 42)(26, 43)(27, 45)(30, 46)(36, 48)(37, 49)(38, 50)(39, 54)(41, 56)(44, 58)(47, 60)(51, 61)(52, 63)(53, 66)(55, 68)(57, 70)(59, 72)(62, 73)(64, 71)(65, 78)(67, 80)(69, 82)(74, 84)(75, 85)(76, 86)(77, 90)(79, 92)(81, 94)(83, 96)(87, 97)(88, 99)(89, 102)(91, 104)(93, 106)(95, 108)(98, 109)(100, 107)(101, 114)(103, 116)(105, 118)(110, 120)(111, 121)(112, 122)(113, 126)(115, 128)(117, 130)(119, 132)(123, 133)(124, 135)(125, 138)(127, 140)(129, 142)(131, 144)(134, 145)(136, 143)(137, 150)(139, 152)(141, 154)(146, 156)(147, 157)(148, 158)(149, 162)(151, 164)(153, 166)(155, 168)(159, 169)(160, 171)(161, 172)(163, 174)(165, 176)(167, 177)(170, 178)(173, 179)(175, 180)
	local type(s) :: { ( 6^30 ) }
Outer automorphisms :: reflexible
Dual of E28.2919
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 6 e = 90 f = 30
	degree seq :: [ 30^6 ]

E28.2918 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 30})
Quotient :: regular
Aut^+ = S3 x D30 (small group id <180, 29>)
Aut   = C2 x S3 x D30 (small group id <360, 154>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-2)^2, (T1 * T2)^6, T1^30 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 20, 32, 47, 61, 73, 85, 97, 109, 121, 133, 145, 157, 156, 144, 132, 120, 108, 96, 84, 72, 60, 46, 31, 19, 10, 4)(3, 7, 15, 25, 39, 55, 67, 79, 91, 103, 115, 127, 139, 151, 163, 169, 158, 147, 134, 123, 110, 99, 86, 75, 62, 49, 33, 22, 12, 8)(6, 13, 9, 18, 29, 44, 58, 70, 82, 94, 106, 118, 130, 142, 154, 166, 168, 159, 146, 135, 122, 111, 98, 87, 74, 63, 48, 34, 21, 14)(16, 26, 17, 28, 35, 51, 64, 77, 88, 101, 112, 125, 136, 149, 160, 171, 176, 173, 164, 152, 140, 128, 116, 104, 92, 80, 68, 56, 40, 27)(23, 36, 24, 38, 50, 65, 76, 89, 100, 113, 124, 137, 148, 161, 170, 177, 175, 167, 155, 143, 131, 119, 107, 95, 83, 71, 59, 45, 30, 37)(41, 53, 42, 57, 69, 81, 93, 105, 117, 129, 141, 153, 165, 174, 179, 180, 178, 172, 162, 150, 138, 126, 114, 102, 90, 78, 66, 54, 43, 52)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 21)(13, 23)(14, 24)(18, 30)(19, 29)(20, 33)(22, 35)(25, 40)(26, 41)(27, 42)(28, 43)(31, 39)(32, 48)(34, 50)(36, 52)(37, 53)(38, 54)(44, 59)(45, 57)(46, 58)(47, 62)(49, 64)(51, 66)(55, 68)(56, 69)(60, 67)(61, 74)(63, 76)(65, 78)(70, 83)(71, 81)(72, 82)(73, 86)(75, 88)(77, 90)(79, 92)(80, 93)(84, 91)(85, 98)(87, 100)(89, 102)(94, 107)(95, 105)(96, 106)(97, 110)(99, 112)(101, 114)(103, 116)(104, 117)(108, 115)(109, 122)(111, 124)(113, 126)(118, 131)(119, 129)(120, 130)(121, 134)(123, 136)(125, 138)(127, 140)(128, 141)(132, 139)(133, 146)(135, 148)(137, 150)(142, 155)(143, 153)(144, 154)(145, 158)(147, 160)(149, 162)(151, 164)(152, 165)(156, 163)(157, 168)(159, 170)(161, 172)(166, 175)(167, 174)(169, 176)(171, 178)(173, 179)(177, 180)
	local type(s) :: { ( 6^30 ) }
Outer automorphisms :: reflexible
Dual of E28.2920
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 6 e = 90 f = 30
	degree seq :: [ 30^6 ]

E28.2919 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 30})
Quotient :: regular
Aut^+ = C6 x D30 (small group id <180, 34>)
Aut   = C2 x S3 x D30 (small group id <360, 154>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^2 * T2 * T1^-1, T1^6, (T1^-1 * T2)^30 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 12, 20, 17, 8)(6, 13, 19, 18, 9, 14)(15, 23, 27, 25, 16, 24)(21, 28, 26, 30, 22, 29)(31, 37, 33, 39, 32, 38)(34, 40, 36, 42, 35, 41)(43, 49, 45, 51, 44, 50)(46, 52, 48, 54, 47, 53)(55, 64, 57, 58, 56, 61)(59, 87, 65, 85, 60, 89)(62, 97, 69, 103, 63, 91)(66, 105, 68, 95, 67, 93)(70, 113, 72, 101, 71, 99)(73, 111, 75, 109, 74, 107)(76, 119, 78, 117, 77, 115)(79, 125, 81, 123, 80, 121)(82, 131, 84, 129, 83, 127)(86, 137, 90, 135, 88, 133)(92, 141, 98, 139, 104, 143)(94, 145, 106, 146, 96, 148)(100, 159, 114, 151, 102, 152)(108, 157, 112, 154, 110, 155)(116, 164, 120, 161, 118, 162)(122, 171, 126, 168, 124, 169)(128, 178, 132, 175, 130, 176)(134, 180, 138, 179, 136, 177)(140, 173, 144, 172, 142, 170)(147, 165, 150, 163, 149, 174)(153, 156, 160, 167, 166, 158)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 19)(13, 21)(14, 22)(18, 26)(20, 27)(23, 31)(24, 32)(25, 33)(28, 34)(29, 35)(30, 36)(37, 43)(38, 44)(39, 45)(40, 46)(41, 47)(42, 48)(49, 55)(50, 56)(51, 57)(52, 85)(53, 87)(54, 89)(58, 91)(59, 93)(60, 95)(61, 97)(62, 99)(63, 101)(64, 103)(65, 105)(66, 107)(67, 109)(68, 111)(69, 113)(70, 115)(71, 117)(72, 119)(73, 121)(74, 123)(75, 125)(76, 127)(77, 129)(78, 131)(79, 133)(80, 135)(81, 137)(82, 139)(83, 141)(84, 143)(86, 146)(88, 145)(90, 148)(92, 152)(94, 155)(96, 154)(98, 159)(100, 162)(102, 161)(104, 151)(106, 157)(108, 169)(110, 168)(112, 171)(114, 164)(116, 176)(118, 175)(120, 178)(122, 177)(124, 179)(126, 180)(128, 170)(130, 172)(132, 173)(134, 174)(136, 163)(138, 165)(140, 167)(142, 156)(144, 158)(147, 166)(149, 160)(150, 153)
	local type(s) :: { ( 30^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2917
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 30 e = 90 f = 6
	degree seq :: [ 6^30 ]

E28.2920 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 30})
Quotient :: regular
Aut^+ = S3 x D30 (small group id <180, 29>)
Aut   = C2 x S3 x D30 (small group id <360, 154>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2 * T1^-1)^2, T1^6, (T1 * T2)^30 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 20, 12, 8)(6, 13, 9, 18, 19, 14)(16, 23, 17, 25, 27, 24)(21, 28, 22, 30, 26, 29)(31, 37, 32, 39, 33, 38)(34, 40, 35, 42, 36, 41)(43, 49, 44, 51, 45, 50)(46, 52, 47, 54, 48, 53)(55, 98, 56, 97, 57, 99)(58, 112, 62, 121, 67, 114)(59, 115, 68, 120, 61, 117)(60, 118, 72, 129, 69, 116)(63, 113, 66, 127, 76, 122)(64, 124, 77, 126, 65, 125)(70, 131, 75, 133, 71, 132)(73, 119, 74, 130, 84, 134)(78, 123, 79, 137, 83, 128)(80, 140, 82, 142, 81, 141)(85, 145, 87, 147, 86, 146)(88, 135, 89, 144, 90, 136)(91, 138, 92, 143, 93, 139)(94, 106, 96, 107, 95, 108)(100, 148, 101, 150, 102, 149)(103, 151, 104, 153, 105, 152)(109, 154, 110, 156, 111, 155)(157, 161, 159, 162, 158, 160)(163, 180, 165, 179, 164, 178)(166, 177, 168, 176, 167, 175)(169, 174, 171, 173, 170, 172)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 19)(13, 21)(14, 22)(18, 26)(20, 27)(23, 31)(24, 32)(25, 33)(28, 34)(29, 35)(30, 36)(37, 43)(38, 44)(39, 45)(40, 46)(41, 47)(42, 48)(49, 55)(50, 56)(51, 57)(52, 106)(53, 107)(54, 108)(58, 113)(59, 116)(60, 119)(61, 118)(62, 122)(63, 123)(64, 114)(65, 112)(66, 128)(67, 127)(68, 129)(69, 130)(70, 117)(71, 115)(72, 134)(73, 135)(74, 136)(75, 120)(76, 137)(77, 121)(78, 138)(79, 139)(80, 125)(81, 124)(82, 126)(83, 143)(84, 144)(85, 132)(86, 131)(87, 133)(88, 148)(89, 149)(90, 150)(91, 151)(92, 152)(93, 153)(94, 141)(95, 140)(96, 142)(97, 146)(98, 145)(99, 147)(100, 154)(101, 155)(102, 156)(103, 157)(104, 158)(105, 159)(109, 163)(110, 164)(111, 165)(160, 168)(161, 166)(162, 167)(169, 180)(170, 179)(171, 178)(172, 176)(173, 175)(174, 177)
	local type(s) :: { ( 30^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2918
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 30 e = 90 f = 6
	degree seq :: [ 6^30 ]

E28.2921 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 30})
Quotient :: edge
Aut^+ = C6 x D30 (small group id <180, 34>)
Aut   = C2 x S3 x D30 (small group id <360, 154>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^2 * T1 * T2^-1, T2^6, (T2^-1 * T1)^30 ]
Map:: polytopal
	R = (1, 3, 8, 17, 10, 4)(2, 5, 12, 21, 14, 6)(7, 15, 24, 18, 9, 16)(11, 19, 28, 22, 13, 20)(23, 31, 26, 33, 25, 32)(27, 34, 30, 36, 29, 35)(37, 43, 39, 45, 38, 44)(40, 46, 42, 48, 41, 47)(49, 55, 51, 57, 50, 56)(52, 85, 54, 89, 53, 87)(58, 91, 61, 100, 63, 93)(59, 94, 65, 108, 67, 96)(60, 97, 69, 103, 62, 99)(64, 105, 73, 111, 66, 107)(68, 113, 71, 118, 70, 115)(72, 120, 75, 125, 74, 122)(76, 127, 78, 131, 77, 129)(79, 133, 81, 137, 80, 135)(82, 139, 84, 143, 83, 141)(86, 146, 90, 145, 88, 148)(92, 152, 101, 151, 104, 154)(95, 156, 109, 155, 112, 158)(98, 160, 116, 159, 102, 162)(106, 167, 123, 166, 110, 169)(114, 174, 119, 173, 117, 176)(121, 179, 126, 178, 124, 175)(128, 171, 132, 168, 130, 180)(134, 164, 138, 161, 136, 177)(140, 157, 144, 170, 142, 172)(147, 153, 150, 163, 149, 165)(181, 182)(183, 187)(184, 189)(185, 191)(186, 193)(188, 192)(190, 194)(195, 203)(196, 205)(197, 204)(198, 206)(199, 207)(200, 209)(201, 208)(202, 210)(211, 217)(212, 218)(213, 219)(214, 220)(215, 221)(216, 222)(223, 229)(224, 230)(225, 231)(226, 232)(227, 233)(228, 234)(235, 238)(236, 243)(237, 241)(239, 265)(240, 271)(242, 273)(244, 274)(245, 269)(246, 276)(247, 267)(248, 277)(249, 280)(250, 279)(251, 283)(252, 285)(253, 288)(254, 287)(255, 291)(256, 293)(257, 295)(258, 298)(259, 300)(260, 302)(261, 305)(262, 307)(263, 309)(264, 311)(266, 313)(268, 315)(270, 317)(272, 319)(275, 326)(278, 332)(281, 323)(282, 334)(284, 321)(286, 336)(289, 325)(290, 338)(292, 328)(294, 340)(296, 331)(297, 342)(299, 339)(301, 347)(303, 335)(304, 349)(306, 346)(308, 354)(310, 356)(312, 353)(314, 359)(316, 355)(318, 358)(320, 351)(322, 360)(324, 348)(327, 344)(329, 357)(330, 341)(333, 337)(343, 350)(345, 352)
	L = (1, 181)(2, 182)(3, 183)(4, 184)(5, 185)(6, 186)(7, 187)(8, 188)(9, 189)(10, 190)(11, 191)(12, 192)(13, 193)(14, 194)(15, 195)(16, 196)(17, 197)(18, 198)(19, 199)(20, 200)(21, 201)(22, 202)(23, 203)(24, 204)(25, 205)(26, 206)(27, 207)(28, 208)(29, 209)(30, 210)(31, 211)(32, 212)(33, 213)(34, 214)(35, 215)(36, 216)(37, 217)(38, 218)(39, 219)(40, 220)(41, 221)(42, 222)(43, 223)(44, 224)(45, 225)(46, 226)(47, 227)(48, 228)(49, 229)(50, 230)(51, 231)(52, 232)(53, 233)(54, 234)(55, 235)(56, 236)(57, 237)(58, 238)(59, 239)(60, 240)(61, 241)(62, 242)(63, 243)(64, 244)(65, 245)(66, 246)(67, 247)(68, 248)(69, 249)(70, 250)(71, 251)(72, 252)(73, 253)(74, 254)(75, 255)(76, 256)(77, 257)(78, 258)(79, 259)(80, 260)(81, 261)(82, 262)(83, 263)(84, 264)(85, 265)(86, 266)(87, 267)(88, 268)(89, 269)(90, 270)(91, 271)(92, 272)(93, 273)(94, 274)(95, 275)(96, 276)(97, 277)(98, 278)(99, 279)(100, 280)(101, 281)(102, 282)(103, 283)(104, 284)(105, 285)(106, 286)(107, 287)(108, 288)(109, 289)(110, 290)(111, 291)(112, 292)(113, 293)(114, 294)(115, 295)(116, 296)(117, 297)(118, 298)(119, 299)(120, 300)(121, 301)(122, 302)(123, 303)(124, 304)(125, 305)(126, 306)(127, 307)(128, 308)(129, 309)(130, 310)(131, 311)(132, 312)(133, 313)(134, 314)(135, 315)(136, 316)(137, 317)(138, 318)(139, 319)(140, 320)(141, 321)(142, 322)(143, 323)(144, 324)(145, 325)(146, 326)(147, 327)(148, 328)(149, 329)(150, 330)(151, 331)(152, 332)(153, 333)(154, 334)(155, 335)(156, 336)(157, 337)(158, 338)(159, 339)(160, 340)(161, 341)(162, 342)(163, 343)(164, 344)(165, 345)(166, 346)(167, 347)(168, 348)(169, 349)(170, 350)(171, 351)(172, 352)(173, 353)(174, 354)(175, 355)(176, 356)(177, 357)(178, 358)(179, 359)(180, 360)
	local type(s) :: { ( 60, 60 ), ( 60^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2929
Transitivity :: ET+
Graph:: simple bipartite
	v = 120 e = 180 f = 6
	degree seq :: [ 2^90, 6^30 ]

E28.2922 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 30})
Quotient :: edge
Aut^+ = S3 x D30 (small group id <180, 29>)
Aut   = C2 x S3 x D30 (small group id <360, 154>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, (T2^-1 * T1 * T2^-1)^2, T2^6, (T2 * T1)^30 ]
Map:: polytopal
	R = (1, 3, 8, 17, 10, 4)(2, 5, 12, 21, 14, 6)(7, 15, 9, 18, 25, 16)(11, 19, 13, 22, 29, 20)(23, 31, 24, 33, 26, 32)(27, 34, 28, 36, 30, 35)(37, 43, 38, 45, 39, 44)(40, 46, 41, 48, 42, 47)(49, 55, 50, 57, 51, 56)(52, 85, 53, 87, 54, 89)(58, 91, 63, 101, 61, 93)(59, 94, 67, 109, 65, 96)(60, 97, 70, 103, 62, 99)(64, 105, 74, 111, 66, 107)(68, 113, 71, 117, 69, 115)(72, 120, 75, 124, 73, 122)(76, 127, 78, 131, 77, 129)(79, 133, 81, 137, 80, 135)(82, 139, 84, 143, 83, 141)(86, 146, 90, 148, 88, 145)(92, 152, 100, 160, 104, 151)(95, 155, 108, 168, 112, 154)(98, 158, 102, 162, 118, 157)(106, 166, 110, 170, 125, 165)(114, 174, 116, 176, 119, 173)(121, 177, 123, 175, 126, 179)(128, 180, 130, 171, 132, 167)(134, 178, 136, 163, 138, 159)(140, 169, 142, 156, 144, 172)(147, 161, 149, 153, 150, 164)(181, 182)(183, 187)(184, 189)(185, 191)(186, 193)(188, 194)(190, 192)(195, 203)(196, 204)(197, 205)(198, 206)(199, 207)(200, 208)(201, 209)(202, 210)(211, 217)(212, 218)(213, 219)(214, 220)(215, 221)(216, 222)(223, 229)(224, 230)(225, 231)(226, 232)(227, 233)(228, 234)(235, 243)(236, 241)(237, 238)(239, 267)(240, 273)(242, 271)(244, 276)(245, 269)(246, 274)(247, 265)(248, 279)(249, 277)(250, 281)(251, 283)(252, 287)(253, 285)(254, 289)(255, 291)(256, 295)(257, 293)(258, 297)(259, 302)(260, 300)(261, 304)(262, 309)(263, 307)(264, 311)(266, 315)(268, 313)(270, 317)(272, 323)(275, 328)(278, 332)(280, 319)(282, 331)(284, 321)(286, 335)(288, 326)(290, 334)(292, 325)(294, 338)(296, 337)(298, 340)(299, 342)(301, 346)(303, 345)(305, 348)(306, 350)(308, 354)(310, 353)(312, 356)(314, 357)(316, 359)(318, 355)(320, 360)(322, 347)(324, 351)(327, 358)(329, 339)(330, 343)(333, 336)(341, 352)(344, 349)
	L = (1, 181)(2, 182)(3, 183)(4, 184)(5, 185)(6, 186)(7, 187)(8, 188)(9, 189)(10, 190)(11, 191)(12, 192)(13, 193)(14, 194)(15, 195)(16, 196)(17, 197)(18, 198)(19, 199)(20, 200)(21, 201)(22, 202)(23, 203)(24, 204)(25, 205)(26, 206)(27, 207)(28, 208)(29, 209)(30, 210)(31, 211)(32, 212)(33, 213)(34, 214)(35, 215)(36, 216)(37, 217)(38, 218)(39, 219)(40, 220)(41, 221)(42, 222)(43, 223)(44, 224)(45, 225)(46, 226)(47, 227)(48, 228)(49, 229)(50, 230)(51, 231)(52, 232)(53, 233)(54, 234)(55, 235)(56, 236)(57, 237)(58, 238)(59, 239)(60, 240)(61, 241)(62, 242)(63, 243)(64, 244)(65, 245)(66, 246)(67, 247)(68, 248)(69, 249)(70, 250)(71, 251)(72, 252)(73, 253)(74, 254)(75, 255)(76, 256)(77, 257)(78, 258)(79, 259)(80, 260)(81, 261)(82, 262)(83, 263)(84, 264)(85, 265)(86, 266)(87, 267)(88, 268)(89, 269)(90, 270)(91, 271)(92, 272)(93, 273)(94, 274)(95, 275)(96, 276)(97, 277)(98, 278)(99, 279)(100, 280)(101, 281)(102, 282)(103, 283)(104, 284)(105, 285)(106, 286)(107, 287)(108, 288)(109, 289)(110, 290)(111, 291)(112, 292)(113, 293)(114, 294)(115, 295)(116, 296)(117, 297)(118, 298)(119, 299)(120, 300)(121, 301)(122, 302)(123, 303)(124, 304)(125, 305)(126, 306)(127, 307)(128, 308)(129, 309)(130, 310)(131, 311)(132, 312)(133, 313)(134, 314)(135, 315)(136, 316)(137, 317)(138, 318)(139, 319)(140, 320)(141, 321)(142, 322)(143, 323)(144, 324)(145, 325)(146, 326)(147, 327)(148, 328)(149, 329)(150, 330)(151, 331)(152, 332)(153, 333)(154, 334)(155, 335)(156, 336)(157, 337)(158, 338)(159, 339)(160, 340)(161, 341)(162, 342)(163, 343)(164, 344)(165, 345)(166, 346)(167, 347)(168, 348)(169, 349)(170, 350)(171, 351)(172, 352)(173, 353)(174, 354)(175, 355)(176, 356)(177, 357)(178, 358)(179, 359)(180, 360)
	local type(s) :: { ( 60, 60 ), ( 60^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2930
Transitivity :: ET+
Graph:: simple bipartite
	v = 120 e = 180 f = 6
	degree seq :: [ 2^90, 6^30 ]

E28.2923 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 30})
Quotient :: edge
Aut^+ = C6 x D30 (small group id <180, 34>)
Aut   = C2 x S3 x D30 (small group id <360, 154>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^-1 * T2 * T1^-2, T2^-1 * T1 * T2^-1 * T1^-3, (T2^-2 * T1)^2, T2^30 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 37, 49, 61, 73, 85, 97, 109, 121, 133, 145, 157, 169, 160, 148, 136, 124, 112, 100, 88, 76, 64, 52, 40, 28, 15, 5)(2, 7, 19, 32, 44, 56, 68, 80, 92, 104, 116, 128, 140, 152, 164, 175, 166, 154, 142, 130, 118, 106, 94, 82, 70, 58, 46, 34, 22, 8)(4, 12, 26, 38, 50, 62, 74, 86, 98, 110, 122, 134, 146, 158, 170, 177, 167, 155, 143, 131, 119, 107, 95, 83, 71, 59, 47, 35, 23, 9)(6, 17, 29, 41, 53, 65, 77, 89, 101, 113, 125, 137, 149, 161, 172, 179, 173, 162, 150, 138, 126, 114, 102, 90, 78, 66, 54, 42, 30, 18)(11, 16, 14, 27, 39, 51, 63, 75, 87, 99, 111, 123, 135, 147, 159, 171, 178, 168, 156, 144, 132, 120, 108, 96, 84, 72, 60, 48, 36, 24)(13, 21, 33, 45, 57, 69, 81, 93, 105, 117, 129, 141, 153, 165, 176, 180, 174, 163, 151, 139, 127, 115, 103, 91, 79, 67, 55, 43, 31, 20)(181, 182, 186, 196, 193, 184)(183, 189, 197, 188, 201, 191)(185, 194, 198, 192, 200, 187)(190, 204, 209, 203, 213, 202)(195, 206, 210, 199, 211, 207)(205, 214, 221, 216, 225, 215)(208, 212, 222, 219, 223, 218)(217, 227, 233, 226, 237, 228)(220, 231, 234, 230, 235, 224)(229, 240, 245, 239, 249, 238)(232, 242, 246, 236, 247, 243)(241, 250, 257, 252, 261, 251)(244, 248, 258, 255, 259, 254)(253, 263, 269, 262, 273, 264)(256, 267, 270, 266, 271, 260)(265, 276, 281, 275, 285, 274)(268, 278, 282, 272, 283, 279)(277, 286, 293, 288, 297, 287)(280, 284, 294, 291, 295, 290)(289, 299, 305, 298, 309, 300)(292, 303, 306, 302, 307, 296)(301, 312, 317, 311, 321, 310)(304, 314, 318, 308, 319, 315)(313, 322, 329, 324, 333, 323)(316, 320, 330, 327, 331, 326)(325, 335, 341, 334, 345, 336)(328, 339, 342, 338, 343, 332)(337, 348, 352, 347, 356, 346)(340, 350, 353, 344, 354, 351)(349, 355, 359, 358, 360, 357)
	L = (1, 181)(2, 182)(3, 183)(4, 184)(5, 185)(6, 186)(7, 187)(8, 188)(9, 189)(10, 190)(11, 191)(12, 192)(13, 193)(14, 194)(15, 195)(16, 196)(17, 197)(18, 198)(19, 199)(20, 200)(21, 201)(22, 202)(23, 203)(24, 204)(25, 205)(26, 206)(27, 207)(28, 208)(29, 209)(30, 210)(31, 211)(32, 212)(33, 213)(34, 214)(35, 215)(36, 216)(37, 217)(38, 218)(39, 219)(40, 220)(41, 221)(42, 222)(43, 223)(44, 224)(45, 225)(46, 226)(47, 227)(48, 228)(49, 229)(50, 230)(51, 231)(52, 232)(53, 233)(54, 234)(55, 235)(56, 236)(57, 237)(58, 238)(59, 239)(60, 240)(61, 241)(62, 242)(63, 243)(64, 244)(65, 245)(66, 246)(67, 247)(68, 248)(69, 249)(70, 250)(71, 251)(72, 252)(73, 253)(74, 254)(75, 255)(76, 256)(77, 257)(78, 258)(79, 259)(80, 260)(81, 261)(82, 262)(83, 263)(84, 264)(85, 265)(86, 266)(87, 267)(88, 268)(89, 269)(90, 270)(91, 271)(92, 272)(93, 273)(94, 274)(95, 275)(96, 276)(97, 277)(98, 278)(99, 279)(100, 280)(101, 281)(102, 282)(103, 283)(104, 284)(105, 285)(106, 286)(107, 287)(108, 288)(109, 289)(110, 290)(111, 291)(112, 292)(113, 293)(114, 294)(115, 295)(116, 296)(117, 297)(118, 298)(119, 299)(120, 300)(121, 301)(122, 302)(123, 303)(124, 304)(125, 305)(126, 306)(127, 307)(128, 308)(129, 309)(130, 310)(131, 311)(132, 312)(133, 313)(134, 314)(135, 315)(136, 316)(137, 317)(138, 318)(139, 319)(140, 320)(141, 321)(142, 322)(143, 323)(144, 324)(145, 325)(146, 326)(147, 327)(148, 328)(149, 329)(150, 330)(151, 331)(152, 332)(153, 333)(154, 334)(155, 335)(156, 336)(157, 337)(158, 338)(159, 339)(160, 340)(161, 341)(162, 342)(163, 343)(164, 344)(165, 345)(166, 346)(167, 347)(168, 348)(169, 349)(170, 350)(171, 351)(172, 352)(173, 353)(174, 354)(175, 355)(176, 356)(177, 357)(178, 358)(179, 359)(180, 360)
	local type(s) :: { ( 4^6 ), ( 4^30 ) }
Outer automorphisms :: reflexible
Dual of E28.2931
Transitivity :: ET+
Graph:: simple bipartite
	v = 36 e = 180 f = 90
	degree seq :: [ 6^30, 30^6 ]

E28.2924 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 30})
Quotient :: edge
Aut^+ = S3 x D30 (small group id <180, 29>)
Aut   = C2 x S3 x D30 (small group id <360, 154>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^2, (T2^-1 * T1^-1)^2, T1^6, T2^30 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 21, 33, 45, 57, 69, 81, 93, 105, 117, 129, 141, 153, 165, 156, 144, 132, 120, 108, 96, 84, 72, 60, 48, 36, 24, 13, 5)(2, 7, 17, 29, 41, 53, 65, 77, 89, 101, 113, 125, 137, 149, 161, 172, 162, 150, 138, 126, 114, 102, 90, 78, 66, 54, 42, 30, 18, 8)(4, 11, 23, 35, 47, 59, 71, 83, 95, 107, 119, 131, 143, 155, 167, 174, 164, 152, 140, 128, 116, 104, 92, 80, 68, 56, 44, 32, 20, 9)(6, 15, 27, 39, 51, 63, 75, 87, 99, 111, 123, 135, 147, 159, 170, 178, 171, 160, 148, 136, 124, 112, 100, 88, 76, 64, 52, 40, 28, 16)(12, 19, 31, 43, 55, 67, 79, 91, 103, 115, 127, 139, 151, 163, 173, 179, 175, 166, 154, 142, 130, 118, 106, 94, 82, 70, 58, 46, 34, 22)(14, 25, 37, 49, 61, 73, 85, 97, 109, 121, 133, 145, 157, 168, 176, 180, 177, 169, 158, 146, 134, 122, 110, 98, 86, 74, 62, 50, 38, 26)(181, 182, 186, 194, 192, 184)(183, 189, 199, 206, 195, 188)(185, 191, 202, 205, 196, 187)(190, 198, 207, 218, 211, 200)(193, 197, 208, 217, 214, 203)(201, 212, 223, 230, 219, 210)(204, 215, 226, 229, 220, 209)(213, 222, 231, 242, 235, 224)(216, 221, 232, 241, 238, 227)(225, 236, 247, 254, 243, 234)(228, 239, 250, 253, 244, 233)(237, 246, 255, 266, 259, 248)(240, 245, 256, 265, 262, 251)(249, 260, 271, 278, 267, 258)(252, 263, 274, 277, 268, 257)(261, 270, 279, 290, 283, 272)(264, 269, 280, 289, 286, 275)(273, 284, 295, 302, 291, 282)(276, 287, 298, 301, 292, 281)(285, 294, 303, 314, 307, 296)(288, 293, 304, 313, 310, 299)(297, 308, 319, 326, 315, 306)(300, 311, 322, 325, 316, 305)(309, 318, 327, 338, 331, 320)(312, 317, 328, 337, 334, 323)(321, 332, 343, 349, 339, 330)(324, 335, 346, 348, 340, 329)(333, 342, 350, 357, 353, 344)(336, 341, 351, 356, 355, 347)(345, 354, 359, 360, 358, 352)
	L = (1, 181)(2, 182)(3, 183)(4, 184)(5, 185)(6, 186)(7, 187)(8, 188)(9, 189)(10, 190)(11, 191)(12, 192)(13, 193)(14, 194)(15, 195)(16, 196)(17, 197)(18, 198)(19, 199)(20, 200)(21, 201)(22, 202)(23, 203)(24, 204)(25, 205)(26, 206)(27, 207)(28, 208)(29, 209)(30, 210)(31, 211)(32, 212)(33, 213)(34, 214)(35, 215)(36, 216)(37, 217)(38, 218)(39, 219)(40, 220)(41, 221)(42, 222)(43, 223)(44, 224)(45, 225)(46, 226)(47, 227)(48, 228)(49, 229)(50, 230)(51, 231)(52, 232)(53, 233)(54, 234)(55, 235)(56, 236)(57, 237)(58, 238)(59, 239)(60, 240)(61, 241)(62, 242)(63, 243)(64, 244)(65, 245)(66, 246)(67, 247)(68, 248)(69, 249)(70, 250)(71, 251)(72, 252)(73, 253)(74, 254)(75, 255)(76, 256)(77, 257)(78, 258)(79, 259)(80, 260)(81, 261)(82, 262)(83, 263)(84, 264)(85, 265)(86, 266)(87, 267)(88, 268)(89, 269)(90, 270)(91, 271)(92, 272)(93, 273)(94, 274)(95, 275)(96, 276)(97, 277)(98, 278)(99, 279)(100, 280)(101, 281)(102, 282)(103, 283)(104, 284)(105, 285)(106, 286)(107, 287)(108, 288)(109, 289)(110, 290)(111, 291)(112, 292)(113, 293)(114, 294)(115, 295)(116, 296)(117, 297)(118, 298)(119, 299)(120, 300)(121, 301)(122, 302)(123, 303)(124, 304)(125, 305)(126, 306)(127, 307)(128, 308)(129, 309)(130, 310)(131, 311)(132, 312)(133, 313)(134, 314)(135, 315)(136, 316)(137, 317)(138, 318)(139, 319)(140, 320)(141, 321)(142, 322)(143, 323)(144, 324)(145, 325)(146, 326)(147, 327)(148, 328)(149, 329)(150, 330)(151, 331)(152, 332)(153, 333)(154, 334)(155, 335)(156, 336)(157, 337)(158, 338)(159, 339)(160, 340)(161, 341)(162, 342)(163, 343)(164, 344)(165, 345)(166, 346)(167, 347)(168, 348)(169, 349)(170, 350)(171, 351)(172, 352)(173, 353)(174, 354)(175, 355)(176, 356)(177, 357)(178, 358)(179, 359)(180, 360)
	local type(s) :: { ( 4^6 ), ( 4^30 ) }
Outer automorphisms :: reflexible
Dual of E28.2932
Transitivity :: ET+
Graph:: simple bipartite
	v = 36 e = 180 f = 90
	degree seq :: [ 6^30, 30^6 ]

E28.2925 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 30})
Quotient :: edge
Aut^+ = C6 x D30 (small group id <180, 34>)
Aut   = C2 x S3 x D30 (small group id <360, 154>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-3)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1^30 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 35)(19, 33)(20, 34)(22, 31)(23, 40)(25, 42)(26, 43)(27, 45)(30, 46)(36, 48)(37, 49)(38, 50)(39, 54)(41, 56)(44, 58)(47, 60)(51, 61)(52, 63)(53, 66)(55, 68)(57, 70)(59, 72)(62, 73)(64, 71)(65, 78)(67, 80)(69, 82)(74, 84)(75, 85)(76, 86)(77, 90)(79, 92)(81, 94)(83, 96)(87, 97)(88, 99)(89, 102)(91, 104)(93, 106)(95, 108)(98, 109)(100, 107)(101, 114)(103, 116)(105, 118)(110, 120)(111, 121)(112, 122)(113, 126)(115, 128)(117, 130)(119, 132)(123, 133)(124, 135)(125, 138)(127, 140)(129, 142)(131, 144)(134, 145)(136, 143)(137, 150)(139, 152)(141, 154)(146, 156)(147, 157)(148, 158)(149, 162)(151, 164)(153, 166)(155, 168)(159, 169)(160, 171)(161, 172)(163, 174)(165, 176)(167, 177)(170, 178)(173, 179)(175, 180)(181, 182, 185, 191, 203, 219, 233, 245, 257, 269, 281, 293, 305, 317, 329, 341, 340, 328, 316, 304, 292, 280, 268, 256, 244, 232, 218, 202, 190, 184)(183, 187, 195, 211, 227, 239, 251, 263, 275, 287, 299, 311, 323, 335, 347, 352, 345, 331, 318, 309, 295, 282, 273, 259, 246, 237, 221, 204, 198, 188)(186, 193, 207, 201, 217, 231, 243, 255, 267, 279, 291, 303, 315, 327, 339, 351, 355, 343, 330, 321, 307, 294, 285, 271, 258, 249, 235, 220, 210, 194)(189, 199, 216, 230, 242, 254, 266, 278, 290, 302, 314, 326, 338, 350, 353, 342, 333, 319, 306, 297, 283, 270, 261, 247, 234, 224, 206, 192, 205, 200)(196, 208, 222, 215, 226, 238, 250, 262, 274, 286, 298, 310, 322, 334, 346, 356, 360, 358, 348, 337, 325, 312, 301, 289, 276, 265, 253, 240, 229, 213)(197, 209, 223, 236, 248, 260, 272, 284, 296, 308, 320, 332, 344, 354, 359, 357, 349, 336, 324, 313, 300, 288, 277, 264, 252, 241, 228, 212, 225, 214)
	L = (1, 181)(2, 182)(3, 183)(4, 184)(5, 185)(6, 186)(7, 187)(8, 188)(9, 189)(10, 190)(11, 191)(12, 192)(13, 193)(14, 194)(15, 195)(16, 196)(17, 197)(18, 198)(19, 199)(20, 200)(21, 201)(22, 202)(23, 203)(24, 204)(25, 205)(26, 206)(27, 207)(28, 208)(29, 209)(30, 210)(31, 211)(32, 212)(33, 213)(34, 214)(35, 215)(36, 216)(37, 217)(38, 218)(39, 219)(40, 220)(41, 221)(42, 222)(43, 223)(44, 224)(45, 225)(46, 226)(47, 227)(48, 228)(49, 229)(50, 230)(51, 231)(52, 232)(53, 233)(54, 234)(55, 235)(56, 236)(57, 237)(58, 238)(59, 239)(60, 240)(61, 241)(62, 242)(63, 243)(64, 244)(65, 245)(66, 246)(67, 247)(68, 248)(69, 249)(70, 250)(71, 251)(72, 252)(73, 253)(74, 254)(75, 255)(76, 256)(77, 257)(78, 258)(79, 259)(80, 260)(81, 261)(82, 262)(83, 263)(84, 264)(85, 265)(86, 266)(87, 267)(88, 268)(89, 269)(90, 270)(91, 271)(92, 272)(93, 273)(94, 274)(95, 275)(96, 276)(97, 277)(98, 278)(99, 279)(100, 280)(101, 281)(102, 282)(103, 283)(104, 284)(105, 285)(106, 286)(107, 287)(108, 288)(109, 289)(110, 290)(111, 291)(112, 292)(113, 293)(114, 294)(115, 295)(116, 296)(117, 297)(118, 298)(119, 299)(120, 300)(121, 301)(122, 302)(123, 303)(124, 304)(125, 305)(126, 306)(127, 307)(128, 308)(129, 309)(130, 310)(131, 311)(132, 312)(133, 313)(134, 314)(135, 315)(136, 316)(137, 317)(138, 318)(139, 319)(140, 320)(141, 321)(142, 322)(143, 323)(144, 324)(145, 325)(146, 326)(147, 327)(148, 328)(149, 329)(150, 330)(151, 331)(152, 332)(153, 333)(154, 334)(155, 335)(156, 336)(157, 337)(158, 338)(159, 339)(160, 340)(161, 341)(162, 342)(163, 343)(164, 344)(165, 345)(166, 346)(167, 347)(168, 348)(169, 349)(170, 350)(171, 351)(172, 352)(173, 353)(174, 354)(175, 355)(176, 356)(177, 357)(178, 358)(179, 359)(180, 360)
	local type(s) :: { ( 12, 12 ), ( 12^30 ) }
Outer automorphisms :: reflexible
Dual of E28.2927
Transitivity :: ET+
Graph:: simple bipartite
	v = 96 e = 180 f = 30
	degree seq :: [ 2^90, 30^6 ]

E28.2926 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 30})
Quotient :: edge
Aut^+ = S3 x D30 (small group id <180, 29>)
Aut   = C2 x S3 x D30 (small group id <360, 154>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-2)^2, (T2 * T1)^6, T1^30 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 21)(13, 23)(14, 24)(18, 30)(19, 29)(20, 33)(22, 35)(25, 40)(26, 41)(27, 42)(28, 43)(31, 39)(32, 48)(34, 50)(36, 52)(37, 53)(38, 54)(44, 59)(45, 57)(46, 58)(47, 62)(49, 64)(51, 66)(55, 68)(56, 69)(60, 67)(61, 74)(63, 76)(65, 78)(70, 83)(71, 81)(72, 82)(73, 86)(75, 88)(77, 90)(79, 92)(80, 93)(84, 91)(85, 98)(87, 100)(89, 102)(94, 107)(95, 105)(96, 106)(97, 110)(99, 112)(101, 114)(103, 116)(104, 117)(108, 115)(109, 122)(111, 124)(113, 126)(118, 131)(119, 129)(120, 130)(121, 134)(123, 136)(125, 138)(127, 140)(128, 141)(132, 139)(133, 146)(135, 148)(137, 150)(142, 155)(143, 153)(144, 154)(145, 158)(147, 160)(149, 162)(151, 164)(152, 165)(156, 163)(157, 168)(159, 170)(161, 172)(166, 175)(167, 174)(169, 176)(171, 178)(173, 179)(177, 180)(181, 182, 185, 191, 200, 212, 227, 241, 253, 265, 277, 289, 301, 313, 325, 337, 336, 324, 312, 300, 288, 276, 264, 252, 240, 226, 211, 199, 190, 184)(183, 187, 195, 205, 219, 235, 247, 259, 271, 283, 295, 307, 319, 331, 343, 349, 338, 327, 314, 303, 290, 279, 266, 255, 242, 229, 213, 202, 192, 188)(186, 193, 189, 198, 209, 224, 238, 250, 262, 274, 286, 298, 310, 322, 334, 346, 348, 339, 326, 315, 302, 291, 278, 267, 254, 243, 228, 214, 201, 194)(196, 206, 197, 208, 215, 231, 244, 257, 268, 281, 292, 305, 316, 329, 340, 351, 356, 353, 344, 332, 320, 308, 296, 284, 272, 260, 248, 236, 220, 207)(203, 216, 204, 218, 230, 245, 256, 269, 280, 293, 304, 317, 328, 341, 350, 357, 355, 347, 335, 323, 311, 299, 287, 275, 263, 251, 239, 225, 210, 217)(221, 233, 222, 237, 249, 261, 273, 285, 297, 309, 321, 333, 345, 354, 359, 360, 358, 352, 342, 330, 318, 306, 294, 282, 270, 258, 246, 234, 223, 232)
	L = (1, 181)(2, 182)(3, 183)(4, 184)(5, 185)(6, 186)(7, 187)(8, 188)(9, 189)(10, 190)(11, 191)(12, 192)(13, 193)(14, 194)(15, 195)(16, 196)(17, 197)(18, 198)(19, 199)(20, 200)(21, 201)(22, 202)(23, 203)(24, 204)(25, 205)(26, 206)(27, 207)(28, 208)(29, 209)(30, 210)(31, 211)(32, 212)(33, 213)(34, 214)(35, 215)(36, 216)(37, 217)(38, 218)(39, 219)(40, 220)(41, 221)(42, 222)(43, 223)(44, 224)(45, 225)(46, 226)(47, 227)(48, 228)(49, 229)(50, 230)(51, 231)(52, 232)(53, 233)(54, 234)(55, 235)(56, 236)(57, 237)(58, 238)(59, 239)(60, 240)(61, 241)(62, 242)(63, 243)(64, 244)(65, 245)(66, 246)(67, 247)(68, 248)(69, 249)(70, 250)(71, 251)(72, 252)(73, 253)(74, 254)(75, 255)(76, 256)(77, 257)(78, 258)(79, 259)(80, 260)(81, 261)(82, 262)(83, 263)(84, 264)(85, 265)(86, 266)(87, 267)(88, 268)(89, 269)(90, 270)(91, 271)(92, 272)(93, 273)(94, 274)(95, 275)(96, 276)(97, 277)(98, 278)(99, 279)(100, 280)(101, 281)(102, 282)(103, 283)(104, 284)(105, 285)(106, 286)(107, 287)(108, 288)(109, 289)(110, 290)(111, 291)(112, 292)(113, 293)(114, 294)(115, 295)(116, 296)(117, 297)(118, 298)(119, 299)(120, 300)(121, 301)(122, 302)(123, 303)(124, 304)(125, 305)(126, 306)(127, 307)(128, 308)(129, 309)(130, 310)(131, 311)(132, 312)(133, 313)(134, 314)(135, 315)(136, 316)(137, 317)(138, 318)(139, 319)(140, 320)(141, 321)(142, 322)(143, 323)(144, 324)(145, 325)(146, 326)(147, 327)(148, 328)(149, 329)(150, 330)(151, 331)(152, 332)(153, 333)(154, 334)(155, 335)(156, 336)(157, 337)(158, 338)(159, 339)(160, 340)(161, 341)(162, 342)(163, 343)(164, 344)(165, 345)(166, 346)(167, 347)(168, 348)(169, 349)(170, 350)(171, 351)(172, 352)(173, 353)(174, 354)(175, 355)(176, 356)(177, 357)(178, 358)(179, 359)(180, 360)
	local type(s) :: { ( 12, 12 ), ( 12^30 ) }
Outer automorphisms :: reflexible
Dual of E28.2928
Transitivity :: ET+
Graph:: simple bipartite
	v = 96 e = 180 f = 30
	degree seq :: [ 2^90, 30^6 ]

E28.2927 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 30})
Quotient :: loop
Aut^+ = C6 x D30 (small group id <180, 34>)
Aut   = C2 x S3 x D30 (small group id <360, 154>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^2 * T1 * T2^-1, T2^6, (T2^-1 * T1)^30 ]
Map::
	R = (1, 181, 3, 183, 8, 188, 17, 197, 10, 190, 4, 184)(2, 182, 5, 185, 12, 192, 21, 201, 14, 194, 6, 186)(7, 187, 15, 195, 24, 204, 18, 198, 9, 189, 16, 196)(11, 191, 19, 199, 28, 208, 22, 202, 13, 193, 20, 200)(23, 203, 31, 211, 26, 206, 33, 213, 25, 205, 32, 212)(27, 207, 34, 214, 30, 210, 36, 216, 29, 209, 35, 215)(37, 217, 43, 223, 39, 219, 45, 225, 38, 218, 44, 224)(40, 220, 46, 226, 42, 222, 48, 228, 41, 221, 47, 227)(49, 229, 55, 235, 51, 231, 57, 237, 50, 230, 56, 236)(52, 232, 85, 265, 54, 234, 89, 269, 53, 233, 87, 267)(58, 238, 91, 271, 61, 241, 100, 280, 63, 243, 93, 273)(59, 239, 94, 274, 65, 245, 108, 288, 67, 247, 96, 276)(60, 240, 97, 277, 69, 249, 103, 283, 62, 242, 99, 279)(64, 244, 105, 285, 73, 253, 111, 291, 66, 246, 107, 287)(68, 248, 113, 293, 71, 251, 118, 298, 70, 250, 115, 295)(72, 252, 120, 300, 75, 255, 125, 305, 74, 254, 122, 302)(76, 256, 127, 307, 78, 258, 131, 311, 77, 257, 129, 309)(79, 259, 133, 313, 81, 261, 137, 317, 80, 260, 135, 315)(82, 262, 139, 319, 84, 264, 143, 323, 83, 263, 141, 321)(86, 266, 146, 326, 90, 270, 148, 328, 88, 268, 145, 325)(92, 272, 152, 332, 101, 281, 154, 334, 104, 284, 151, 331)(95, 275, 156, 336, 109, 289, 158, 338, 112, 292, 155, 335)(98, 278, 160, 340, 116, 296, 162, 342, 102, 282, 159, 339)(106, 286, 167, 347, 123, 303, 169, 349, 110, 290, 166, 346)(114, 294, 174, 354, 119, 299, 176, 356, 117, 297, 173, 353)(121, 301, 175, 355, 126, 306, 179, 359, 124, 304, 178, 358)(128, 308, 180, 360, 132, 312, 171, 351, 130, 310, 168, 348)(134, 314, 177, 357, 138, 318, 164, 344, 136, 316, 161, 341)(140, 320, 172, 352, 144, 324, 157, 337, 142, 322, 170, 350)(147, 327, 165, 345, 150, 330, 153, 333, 149, 329, 163, 343)
	L = (1, 182)(2, 181)(3, 187)(4, 189)(5, 191)(6, 193)(7, 183)(8, 192)(9, 184)(10, 194)(11, 185)(12, 188)(13, 186)(14, 190)(15, 203)(16, 205)(17, 204)(18, 206)(19, 207)(20, 209)(21, 208)(22, 210)(23, 195)(24, 197)(25, 196)(26, 198)(27, 199)(28, 201)(29, 200)(30, 202)(31, 217)(32, 218)(33, 219)(34, 220)(35, 221)(36, 222)(37, 211)(38, 212)(39, 213)(40, 214)(41, 215)(42, 216)(43, 229)(44, 230)(45, 231)(46, 232)(47, 233)(48, 234)(49, 223)(50, 224)(51, 225)(52, 226)(53, 227)(54, 228)(55, 243)(56, 241)(57, 238)(58, 237)(59, 269)(60, 271)(61, 236)(62, 273)(63, 235)(64, 274)(65, 267)(66, 276)(67, 265)(68, 277)(69, 280)(70, 279)(71, 283)(72, 285)(73, 288)(74, 287)(75, 291)(76, 293)(77, 295)(78, 298)(79, 300)(80, 302)(81, 305)(82, 307)(83, 309)(84, 311)(85, 247)(86, 313)(87, 245)(88, 315)(89, 239)(90, 317)(91, 240)(92, 323)(93, 242)(94, 244)(95, 328)(96, 246)(97, 248)(98, 332)(99, 250)(100, 249)(101, 321)(102, 331)(103, 251)(104, 319)(105, 252)(106, 336)(107, 254)(108, 253)(109, 325)(110, 335)(111, 255)(112, 326)(113, 256)(114, 340)(115, 257)(116, 334)(117, 339)(118, 258)(119, 342)(120, 259)(121, 347)(122, 260)(123, 338)(124, 346)(125, 261)(126, 349)(127, 262)(128, 354)(129, 263)(130, 353)(131, 264)(132, 356)(133, 266)(134, 355)(135, 268)(136, 358)(137, 270)(138, 359)(139, 284)(140, 360)(141, 281)(142, 348)(143, 272)(144, 351)(145, 289)(146, 292)(147, 357)(148, 275)(149, 341)(150, 344)(151, 282)(152, 278)(153, 337)(154, 296)(155, 290)(156, 286)(157, 333)(158, 303)(159, 297)(160, 294)(161, 329)(162, 299)(163, 350)(164, 330)(165, 352)(166, 304)(167, 301)(168, 322)(169, 306)(170, 343)(171, 324)(172, 345)(173, 310)(174, 308)(175, 314)(176, 312)(177, 327)(178, 316)(179, 318)(180, 320)
	local type(s) :: { ( 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30 ) }
Outer automorphisms :: reflexible
Dual of E28.2925
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 30 e = 180 f = 96
	degree seq :: [ 12^30 ]

E28.2928 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 30})
Quotient :: loop
Aut^+ = S3 x D30 (small group id <180, 29>)
Aut   = C2 x S3 x D30 (small group id <360, 154>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, (T2^-1 * T1 * T2^-1)^2, T2^6, (T2 * T1)^30 ]
Map::
	R = (1, 181, 3, 183, 8, 188, 17, 197, 10, 190, 4, 184)(2, 182, 5, 185, 12, 192, 21, 201, 14, 194, 6, 186)(7, 187, 15, 195, 9, 189, 18, 198, 25, 205, 16, 196)(11, 191, 19, 199, 13, 193, 22, 202, 29, 209, 20, 200)(23, 203, 31, 211, 24, 204, 33, 213, 26, 206, 32, 212)(27, 207, 34, 214, 28, 208, 36, 216, 30, 210, 35, 215)(37, 217, 43, 223, 38, 218, 45, 225, 39, 219, 44, 224)(40, 220, 46, 226, 41, 221, 48, 228, 42, 222, 47, 227)(49, 229, 55, 235, 50, 230, 57, 237, 51, 231, 56, 236)(52, 232, 85, 265, 53, 233, 87, 267, 54, 234, 89, 269)(58, 238, 91, 271, 63, 243, 101, 281, 61, 241, 93, 273)(59, 239, 94, 274, 67, 247, 109, 289, 65, 245, 96, 276)(60, 240, 97, 277, 70, 250, 103, 283, 62, 242, 99, 279)(64, 244, 105, 285, 74, 254, 111, 291, 66, 246, 107, 287)(68, 248, 113, 293, 71, 251, 117, 297, 69, 249, 115, 295)(72, 252, 120, 300, 75, 255, 124, 304, 73, 253, 122, 302)(76, 256, 127, 307, 78, 258, 131, 311, 77, 257, 129, 309)(79, 259, 133, 313, 81, 261, 137, 317, 80, 260, 135, 315)(82, 262, 139, 319, 84, 264, 143, 323, 83, 263, 141, 321)(86, 266, 146, 326, 90, 270, 148, 328, 88, 268, 145, 325)(92, 272, 152, 332, 100, 280, 160, 340, 104, 284, 151, 331)(95, 275, 155, 335, 108, 288, 168, 348, 112, 292, 154, 334)(98, 278, 158, 338, 102, 282, 162, 342, 118, 298, 157, 337)(106, 286, 166, 346, 110, 290, 170, 350, 125, 305, 165, 345)(114, 294, 174, 354, 116, 296, 176, 356, 119, 299, 173, 353)(121, 301, 177, 357, 123, 303, 175, 355, 126, 306, 179, 359)(128, 308, 180, 360, 130, 310, 171, 351, 132, 312, 167, 347)(134, 314, 178, 358, 136, 316, 163, 343, 138, 318, 159, 339)(140, 320, 169, 349, 142, 322, 156, 336, 144, 324, 172, 352)(147, 327, 161, 341, 149, 329, 153, 333, 150, 330, 164, 344)
	L = (1, 182)(2, 181)(3, 187)(4, 189)(5, 191)(6, 193)(7, 183)(8, 194)(9, 184)(10, 192)(11, 185)(12, 190)(13, 186)(14, 188)(15, 203)(16, 204)(17, 205)(18, 206)(19, 207)(20, 208)(21, 209)(22, 210)(23, 195)(24, 196)(25, 197)(26, 198)(27, 199)(28, 200)(29, 201)(30, 202)(31, 217)(32, 218)(33, 219)(34, 220)(35, 221)(36, 222)(37, 211)(38, 212)(39, 213)(40, 214)(41, 215)(42, 216)(43, 229)(44, 230)(45, 231)(46, 232)(47, 233)(48, 234)(49, 223)(50, 224)(51, 225)(52, 226)(53, 227)(54, 228)(55, 243)(56, 241)(57, 238)(58, 237)(59, 267)(60, 273)(61, 236)(62, 271)(63, 235)(64, 276)(65, 269)(66, 274)(67, 265)(68, 279)(69, 277)(70, 281)(71, 283)(72, 287)(73, 285)(74, 289)(75, 291)(76, 295)(77, 293)(78, 297)(79, 302)(80, 300)(81, 304)(82, 309)(83, 307)(84, 311)(85, 247)(86, 315)(87, 239)(88, 313)(89, 245)(90, 317)(91, 242)(92, 323)(93, 240)(94, 246)(95, 328)(96, 244)(97, 249)(98, 332)(99, 248)(100, 319)(101, 250)(102, 331)(103, 251)(104, 321)(105, 253)(106, 335)(107, 252)(108, 326)(109, 254)(110, 334)(111, 255)(112, 325)(113, 257)(114, 338)(115, 256)(116, 337)(117, 258)(118, 340)(119, 342)(120, 260)(121, 346)(122, 259)(123, 345)(124, 261)(125, 348)(126, 350)(127, 263)(128, 354)(129, 262)(130, 353)(131, 264)(132, 356)(133, 268)(134, 357)(135, 266)(136, 359)(137, 270)(138, 355)(139, 280)(140, 360)(141, 284)(142, 347)(143, 272)(144, 351)(145, 292)(146, 288)(147, 358)(148, 275)(149, 339)(150, 343)(151, 282)(152, 278)(153, 336)(154, 290)(155, 286)(156, 333)(157, 296)(158, 294)(159, 329)(160, 298)(161, 352)(162, 299)(163, 330)(164, 349)(165, 303)(166, 301)(167, 322)(168, 305)(169, 344)(170, 306)(171, 324)(172, 341)(173, 310)(174, 308)(175, 318)(176, 312)(177, 314)(178, 327)(179, 316)(180, 320)
	local type(s) :: { ( 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30 ) }
Outer automorphisms :: reflexible
Dual of E28.2926
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 30 e = 180 f = 96
	degree seq :: [ 12^30 ]

E28.2929 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 30})
Quotient :: loop
Aut^+ = C6 x D30 (small group id <180, 34>)
Aut   = C2 x S3 x D30 (small group id <360, 154>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^-1 * T2 * T1^-2, T2^-1 * T1 * T2^-1 * T1^-3, (T2^-2 * T1)^2, T2^30 ]
Map::
	R = (1, 181, 3, 183, 10, 190, 25, 205, 37, 217, 49, 229, 61, 241, 73, 253, 85, 265, 97, 277, 109, 289, 121, 301, 133, 313, 145, 325, 157, 337, 169, 349, 160, 340, 148, 328, 136, 316, 124, 304, 112, 292, 100, 280, 88, 268, 76, 256, 64, 244, 52, 232, 40, 220, 28, 208, 15, 195, 5, 185)(2, 182, 7, 187, 19, 199, 32, 212, 44, 224, 56, 236, 68, 248, 80, 260, 92, 272, 104, 284, 116, 296, 128, 308, 140, 320, 152, 332, 164, 344, 175, 355, 166, 346, 154, 334, 142, 322, 130, 310, 118, 298, 106, 286, 94, 274, 82, 262, 70, 250, 58, 238, 46, 226, 34, 214, 22, 202, 8, 188)(4, 184, 12, 192, 26, 206, 38, 218, 50, 230, 62, 242, 74, 254, 86, 266, 98, 278, 110, 290, 122, 302, 134, 314, 146, 326, 158, 338, 170, 350, 177, 357, 167, 347, 155, 335, 143, 323, 131, 311, 119, 299, 107, 287, 95, 275, 83, 263, 71, 251, 59, 239, 47, 227, 35, 215, 23, 203, 9, 189)(6, 186, 17, 197, 29, 209, 41, 221, 53, 233, 65, 245, 77, 257, 89, 269, 101, 281, 113, 293, 125, 305, 137, 317, 149, 329, 161, 341, 172, 352, 179, 359, 173, 353, 162, 342, 150, 330, 138, 318, 126, 306, 114, 294, 102, 282, 90, 270, 78, 258, 66, 246, 54, 234, 42, 222, 30, 210, 18, 198)(11, 191, 16, 196, 14, 194, 27, 207, 39, 219, 51, 231, 63, 243, 75, 255, 87, 267, 99, 279, 111, 291, 123, 303, 135, 315, 147, 327, 159, 339, 171, 351, 178, 358, 168, 348, 156, 336, 144, 324, 132, 312, 120, 300, 108, 288, 96, 276, 84, 264, 72, 252, 60, 240, 48, 228, 36, 216, 24, 204)(13, 193, 21, 201, 33, 213, 45, 225, 57, 237, 69, 249, 81, 261, 93, 273, 105, 285, 117, 297, 129, 309, 141, 321, 153, 333, 165, 345, 176, 356, 180, 360, 174, 354, 163, 343, 151, 331, 139, 319, 127, 307, 115, 295, 103, 283, 91, 271, 79, 259, 67, 247, 55, 235, 43, 223, 31, 211, 20, 200)
	L = (1, 182)(2, 186)(3, 189)(4, 181)(5, 194)(6, 196)(7, 185)(8, 201)(9, 197)(10, 204)(11, 183)(12, 200)(13, 184)(14, 198)(15, 206)(16, 193)(17, 188)(18, 192)(19, 211)(20, 187)(21, 191)(22, 190)(23, 213)(24, 209)(25, 214)(26, 210)(27, 195)(28, 212)(29, 203)(30, 199)(31, 207)(32, 222)(33, 202)(34, 221)(35, 205)(36, 225)(37, 227)(38, 208)(39, 223)(40, 231)(41, 216)(42, 219)(43, 218)(44, 220)(45, 215)(46, 237)(47, 233)(48, 217)(49, 240)(50, 235)(51, 234)(52, 242)(53, 226)(54, 230)(55, 224)(56, 247)(57, 228)(58, 229)(59, 249)(60, 245)(61, 250)(62, 246)(63, 232)(64, 248)(65, 239)(66, 236)(67, 243)(68, 258)(69, 238)(70, 257)(71, 241)(72, 261)(73, 263)(74, 244)(75, 259)(76, 267)(77, 252)(78, 255)(79, 254)(80, 256)(81, 251)(82, 273)(83, 269)(84, 253)(85, 276)(86, 271)(87, 270)(88, 278)(89, 262)(90, 266)(91, 260)(92, 283)(93, 264)(94, 265)(95, 285)(96, 281)(97, 286)(98, 282)(99, 268)(100, 284)(101, 275)(102, 272)(103, 279)(104, 294)(105, 274)(106, 293)(107, 277)(108, 297)(109, 299)(110, 280)(111, 295)(112, 303)(113, 288)(114, 291)(115, 290)(116, 292)(117, 287)(118, 309)(119, 305)(120, 289)(121, 312)(122, 307)(123, 306)(124, 314)(125, 298)(126, 302)(127, 296)(128, 319)(129, 300)(130, 301)(131, 321)(132, 317)(133, 322)(134, 318)(135, 304)(136, 320)(137, 311)(138, 308)(139, 315)(140, 330)(141, 310)(142, 329)(143, 313)(144, 333)(145, 335)(146, 316)(147, 331)(148, 339)(149, 324)(150, 327)(151, 326)(152, 328)(153, 323)(154, 345)(155, 341)(156, 325)(157, 348)(158, 343)(159, 342)(160, 350)(161, 334)(162, 338)(163, 332)(164, 354)(165, 336)(166, 337)(167, 356)(168, 352)(169, 355)(170, 353)(171, 340)(172, 347)(173, 344)(174, 351)(175, 359)(176, 346)(177, 349)(178, 360)(179, 358)(180, 357)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2921
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 180 f = 120
	degree seq :: [ 60^6 ]

E28.2930 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 30})
Quotient :: loop
Aut^+ = S3 x D30 (small group id <180, 29>)
Aut   = C2 x S3 x D30 (small group id <360, 154>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^2, (T2^-1 * T1^-1)^2, T1^6, T2^30 ]
Map::
	R = (1, 181, 3, 183, 10, 190, 21, 201, 33, 213, 45, 225, 57, 237, 69, 249, 81, 261, 93, 273, 105, 285, 117, 297, 129, 309, 141, 321, 153, 333, 165, 345, 156, 336, 144, 324, 132, 312, 120, 300, 108, 288, 96, 276, 84, 264, 72, 252, 60, 240, 48, 228, 36, 216, 24, 204, 13, 193, 5, 185)(2, 182, 7, 187, 17, 197, 29, 209, 41, 221, 53, 233, 65, 245, 77, 257, 89, 269, 101, 281, 113, 293, 125, 305, 137, 317, 149, 329, 161, 341, 172, 352, 162, 342, 150, 330, 138, 318, 126, 306, 114, 294, 102, 282, 90, 270, 78, 258, 66, 246, 54, 234, 42, 222, 30, 210, 18, 198, 8, 188)(4, 184, 11, 191, 23, 203, 35, 215, 47, 227, 59, 239, 71, 251, 83, 263, 95, 275, 107, 287, 119, 299, 131, 311, 143, 323, 155, 335, 167, 347, 174, 354, 164, 344, 152, 332, 140, 320, 128, 308, 116, 296, 104, 284, 92, 272, 80, 260, 68, 248, 56, 236, 44, 224, 32, 212, 20, 200, 9, 189)(6, 186, 15, 195, 27, 207, 39, 219, 51, 231, 63, 243, 75, 255, 87, 267, 99, 279, 111, 291, 123, 303, 135, 315, 147, 327, 159, 339, 170, 350, 178, 358, 171, 351, 160, 340, 148, 328, 136, 316, 124, 304, 112, 292, 100, 280, 88, 268, 76, 256, 64, 244, 52, 232, 40, 220, 28, 208, 16, 196)(12, 192, 19, 199, 31, 211, 43, 223, 55, 235, 67, 247, 79, 259, 91, 271, 103, 283, 115, 295, 127, 307, 139, 319, 151, 331, 163, 343, 173, 353, 179, 359, 175, 355, 166, 346, 154, 334, 142, 322, 130, 310, 118, 298, 106, 286, 94, 274, 82, 262, 70, 250, 58, 238, 46, 226, 34, 214, 22, 202)(14, 194, 25, 205, 37, 217, 49, 229, 61, 241, 73, 253, 85, 265, 97, 277, 109, 289, 121, 301, 133, 313, 145, 325, 157, 337, 168, 348, 176, 356, 180, 360, 177, 357, 169, 349, 158, 338, 146, 326, 134, 314, 122, 302, 110, 290, 98, 278, 86, 266, 74, 254, 62, 242, 50, 230, 38, 218, 26, 206)
	L = (1, 182)(2, 186)(3, 189)(4, 181)(5, 191)(6, 194)(7, 185)(8, 183)(9, 199)(10, 198)(11, 202)(12, 184)(13, 197)(14, 192)(15, 188)(16, 187)(17, 208)(18, 207)(19, 206)(20, 190)(21, 212)(22, 205)(23, 193)(24, 215)(25, 196)(26, 195)(27, 218)(28, 217)(29, 204)(30, 201)(31, 200)(32, 223)(33, 222)(34, 203)(35, 226)(36, 221)(37, 214)(38, 211)(39, 210)(40, 209)(41, 232)(42, 231)(43, 230)(44, 213)(45, 236)(46, 229)(47, 216)(48, 239)(49, 220)(50, 219)(51, 242)(52, 241)(53, 228)(54, 225)(55, 224)(56, 247)(57, 246)(58, 227)(59, 250)(60, 245)(61, 238)(62, 235)(63, 234)(64, 233)(65, 256)(66, 255)(67, 254)(68, 237)(69, 260)(70, 253)(71, 240)(72, 263)(73, 244)(74, 243)(75, 266)(76, 265)(77, 252)(78, 249)(79, 248)(80, 271)(81, 270)(82, 251)(83, 274)(84, 269)(85, 262)(86, 259)(87, 258)(88, 257)(89, 280)(90, 279)(91, 278)(92, 261)(93, 284)(94, 277)(95, 264)(96, 287)(97, 268)(98, 267)(99, 290)(100, 289)(101, 276)(102, 273)(103, 272)(104, 295)(105, 294)(106, 275)(107, 298)(108, 293)(109, 286)(110, 283)(111, 282)(112, 281)(113, 304)(114, 303)(115, 302)(116, 285)(117, 308)(118, 301)(119, 288)(120, 311)(121, 292)(122, 291)(123, 314)(124, 313)(125, 300)(126, 297)(127, 296)(128, 319)(129, 318)(130, 299)(131, 322)(132, 317)(133, 310)(134, 307)(135, 306)(136, 305)(137, 328)(138, 327)(139, 326)(140, 309)(141, 332)(142, 325)(143, 312)(144, 335)(145, 316)(146, 315)(147, 338)(148, 337)(149, 324)(150, 321)(151, 320)(152, 343)(153, 342)(154, 323)(155, 346)(156, 341)(157, 334)(158, 331)(159, 330)(160, 329)(161, 351)(162, 350)(163, 349)(164, 333)(165, 354)(166, 348)(167, 336)(168, 340)(169, 339)(170, 357)(171, 356)(172, 345)(173, 344)(174, 359)(175, 347)(176, 355)(177, 353)(178, 352)(179, 360)(180, 358)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2922
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 180 f = 120
	degree seq :: [ 60^6 ]

E28.2931 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 30})
Quotient :: loop
Aut^+ = C6 x D30 (small group id <180, 34>)
Aut   = C2 x S3 x D30 (small group id <360, 154>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-3)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1^30 ]
Map:: polytopal non-degenerate
	R = (1, 181, 3, 183)(2, 182, 6, 186)(4, 184, 9, 189)(5, 185, 12, 192)(7, 187, 16, 196)(8, 188, 17, 197)(10, 190, 21, 201)(11, 191, 24, 204)(13, 193, 28, 208)(14, 194, 29, 209)(15, 195, 32, 212)(18, 198, 35, 215)(19, 199, 33, 213)(20, 200, 34, 214)(22, 202, 31, 211)(23, 203, 40, 220)(25, 205, 42, 222)(26, 206, 43, 223)(27, 207, 45, 225)(30, 210, 46, 226)(36, 216, 48, 228)(37, 217, 49, 229)(38, 218, 50, 230)(39, 219, 54, 234)(41, 221, 56, 236)(44, 224, 58, 238)(47, 227, 60, 240)(51, 231, 61, 241)(52, 232, 63, 243)(53, 233, 66, 246)(55, 235, 68, 248)(57, 237, 70, 250)(59, 239, 72, 252)(62, 242, 73, 253)(64, 244, 71, 251)(65, 245, 78, 258)(67, 247, 80, 260)(69, 249, 82, 262)(74, 254, 84, 264)(75, 255, 85, 265)(76, 256, 86, 266)(77, 257, 90, 270)(79, 259, 92, 272)(81, 261, 94, 274)(83, 263, 96, 276)(87, 267, 97, 277)(88, 268, 99, 279)(89, 269, 102, 282)(91, 271, 104, 284)(93, 273, 106, 286)(95, 275, 108, 288)(98, 278, 109, 289)(100, 280, 107, 287)(101, 281, 114, 294)(103, 283, 116, 296)(105, 285, 118, 298)(110, 290, 120, 300)(111, 291, 121, 301)(112, 292, 122, 302)(113, 293, 126, 306)(115, 295, 128, 308)(117, 297, 130, 310)(119, 299, 132, 312)(123, 303, 133, 313)(124, 304, 135, 315)(125, 305, 138, 318)(127, 307, 140, 320)(129, 309, 142, 322)(131, 311, 144, 324)(134, 314, 145, 325)(136, 316, 143, 323)(137, 317, 150, 330)(139, 319, 152, 332)(141, 321, 154, 334)(146, 326, 156, 336)(147, 327, 157, 337)(148, 328, 158, 338)(149, 329, 162, 342)(151, 331, 164, 344)(153, 333, 166, 346)(155, 335, 168, 348)(159, 339, 169, 349)(160, 340, 171, 351)(161, 341, 172, 352)(163, 343, 174, 354)(165, 345, 176, 356)(167, 347, 177, 357)(170, 350, 178, 358)(173, 353, 179, 359)(175, 355, 180, 360)
	L = (1, 182)(2, 185)(3, 187)(4, 181)(5, 191)(6, 193)(7, 195)(8, 183)(9, 199)(10, 184)(11, 203)(12, 205)(13, 207)(14, 186)(15, 211)(16, 208)(17, 209)(18, 188)(19, 216)(20, 189)(21, 217)(22, 190)(23, 219)(24, 198)(25, 200)(26, 192)(27, 201)(28, 222)(29, 223)(30, 194)(31, 227)(32, 225)(33, 196)(34, 197)(35, 226)(36, 230)(37, 231)(38, 202)(39, 233)(40, 210)(41, 204)(42, 215)(43, 236)(44, 206)(45, 214)(46, 238)(47, 239)(48, 212)(49, 213)(50, 242)(51, 243)(52, 218)(53, 245)(54, 224)(55, 220)(56, 248)(57, 221)(58, 250)(59, 251)(60, 229)(61, 228)(62, 254)(63, 255)(64, 232)(65, 257)(66, 237)(67, 234)(68, 260)(69, 235)(70, 262)(71, 263)(72, 241)(73, 240)(74, 266)(75, 267)(76, 244)(77, 269)(78, 249)(79, 246)(80, 272)(81, 247)(82, 274)(83, 275)(84, 252)(85, 253)(86, 278)(87, 279)(88, 256)(89, 281)(90, 261)(91, 258)(92, 284)(93, 259)(94, 286)(95, 287)(96, 265)(97, 264)(98, 290)(99, 291)(100, 268)(101, 293)(102, 273)(103, 270)(104, 296)(105, 271)(106, 298)(107, 299)(108, 277)(109, 276)(110, 302)(111, 303)(112, 280)(113, 305)(114, 285)(115, 282)(116, 308)(117, 283)(118, 310)(119, 311)(120, 288)(121, 289)(122, 314)(123, 315)(124, 292)(125, 317)(126, 297)(127, 294)(128, 320)(129, 295)(130, 322)(131, 323)(132, 301)(133, 300)(134, 326)(135, 327)(136, 304)(137, 329)(138, 309)(139, 306)(140, 332)(141, 307)(142, 334)(143, 335)(144, 313)(145, 312)(146, 338)(147, 339)(148, 316)(149, 341)(150, 321)(151, 318)(152, 344)(153, 319)(154, 346)(155, 347)(156, 324)(157, 325)(158, 350)(159, 351)(160, 328)(161, 340)(162, 333)(163, 330)(164, 354)(165, 331)(166, 356)(167, 352)(168, 337)(169, 336)(170, 353)(171, 355)(172, 345)(173, 342)(174, 359)(175, 343)(176, 360)(177, 349)(178, 348)(179, 357)(180, 358)
	local type(s) :: { ( 6, 30, 6, 30 ) }
Outer automorphisms :: reflexible
Dual of E28.2923
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 90 e = 180 f = 36
	degree seq :: [ 4^90 ]

E28.2932 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 30})
Quotient :: loop
Aut^+ = S3 x D30 (small group id <180, 29>)
Aut   = C2 x S3 x D30 (small group id <360, 154>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-2)^2, (T2 * T1)^6, T1^30 ]
Map:: polytopal non-degenerate
	R = (1, 181, 3, 183)(2, 182, 6, 186)(4, 184, 9, 189)(5, 185, 12, 192)(7, 187, 16, 196)(8, 188, 17, 197)(10, 190, 15, 195)(11, 191, 21, 201)(13, 193, 23, 203)(14, 194, 24, 204)(18, 198, 30, 210)(19, 199, 29, 209)(20, 200, 33, 213)(22, 202, 35, 215)(25, 205, 40, 220)(26, 206, 41, 221)(27, 207, 42, 222)(28, 208, 43, 223)(31, 211, 39, 219)(32, 212, 48, 228)(34, 214, 50, 230)(36, 216, 52, 232)(37, 217, 53, 233)(38, 218, 54, 234)(44, 224, 59, 239)(45, 225, 57, 237)(46, 226, 58, 238)(47, 227, 62, 242)(49, 229, 64, 244)(51, 231, 66, 246)(55, 235, 68, 248)(56, 236, 69, 249)(60, 240, 67, 247)(61, 241, 74, 254)(63, 243, 76, 256)(65, 245, 78, 258)(70, 250, 83, 263)(71, 251, 81, 261)(72, 252, 82, 262)(73, 253, 86, 266)(75, 255, 88, 268)(77, 257, 90, 270)(79, 259, 92, 272)(80, 260, 93, 273)(84, 264, 91, 271)(85, 265, 98, 278)(87, 267, 100, 280)(89, 269, 102, 282)(94, 274, 107, 287)(95, 275, 105, 285)(96, 276, 106, 286)(97, 277, 110, 290)(99, 279, 112, 292)(101, 281, 114, 294)(103, 283, 116, 296)(104, 284, 117, 297)(108, 288, 115, 295)(109, 289, 122, 302)(111, 291, 124, 304)(113, 293, 126, 306)(118, 298, 131, 311)(119, 299, 129, 309)(120, 300, 130, 310)(121, 301, 134, 314)(123, 303, 136, 316)(125, 305, 138, 318)(127, 307, 140, 320)(128, 308, 141, 321)(132, 312, 139, 319)(133, 313, 146, 326)(135, 315, 148, 328)(137, 317, 150, 330)(142, 322, 155, 335)(143, 323, 153, 333)(144, 324, 154, 334)(145, 325, 158, 338)(147, 327, 160, 340)(149, 329, 162, 342)(151, 331, 164, 344)(152, 332, 165, 345)(156, 336, 163, 343)(157, 337, 168, 348)(159, 339, 170, 350)(161, 341, 172, 352)(166, 346, 175, 355)(167, 347, 174, 354)(169, 349, 176, 356)(171, 351, 178, 358)(173, 353, 179, 359)(177, 357, 180, 360)
	L = (1, 182)(2, 185)(3, 187)(4, 181)(5, 191)(6, 193)(7, 195)(8, 183)(9, 198)(10, 184)(11, 200)(12, 188)(13, 189)(14, 186)(15, 205)(16, 206)(17, 208)(18, 209)(19, 190)(20, 212)(21, 194)(22, 192)(23, 216)(24, 218)(25, 219)(26, 197)(27, 196)(28, 215)(29, 224)(30, 217)(31, 199)(32, 227)(33, 202)(34, 201)(35, 231)(36, 204)(37, 203)(38, 230)(39, 235)(40, 207)(41, 233)(42, 237)(43, 232)(44, 238)(45, 210)(46, 211)(47, 241)(48, 214)(49, 213)(50, 245)(51, 244)(52, 221)(53, 222)(54, 223)(55, 247)(56, 220)(57, 249)(58, 250)(59, 225)(60, 226)(61, 253)(62, 229)(63, 228)(64, 257)(65, 256)(66, 234)(67, 259)(68, 236)(69, 261)(70, 262)(71, 239)(72, 240)(73, 265)(74, 243)(75, 242)(76, 269)(77, 268)(78, 246)(79, 271)(80, 248)(81, 273)(82, 274)(83, 251)(84, 252)(85, 277)(86, 255)(87, 254)(88, 281)(89, 280)(90, 258)(91, 283)(92, 260)(93, 285)(94, 286)(95, 263)(96, 264)(97, 289)(98, 267)(99, 266)(100, 293)(101, 292)(102, 270)(103, 295)(104, 272)(105, 297)(106, 298)(107, 275)(108, 276)(109, 301)(110, 279)(111, 278)(112, 305)(113, 304)(114, 282)(115, 307)(116, 284)(117, 309)(118, 310)(119, 287)(120, 288)(121, 313)(122, 291)(123, 290)(124, 317)(125, 316)(126, 294)(127, 319)(128, 296)(129, 321)(130, 322)(131, 299)(132, 300)(133, 325)(134, 303)(135, 302)(136, 329)(137, 328)(138, 306)(139, 331)(140, 308)(141, 333)(142, 334)(143, 311)(144, 312)(145, 337)(146, 315)(147, 314)(148, 341)(149, 340)(150, 318)(151, 343)(152, 320)(153, 345)(154, 346)(155, 323)(156, 324)(157, 336)(158, 327)(159, 326)(160, 351)(161, 350)(162, 330)(163, 349)(164, 332)(165, 354)(166, 348)(167, 335)(168, 339)(169, 338)(170, 357)(171, 356)(172, 342)(173, 344)(174, 359)(175, 347)(176, 353)(177, 355)(178, 352)(179, 360)(180, 358)
	local type(s) :: { ( 6, 30, 6, 30 ) }
Outer automorphisms :: reflexible
Dual of E28.2924
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 90 e = 180 f = 36
	degree seq :: [ 4^90 ]

E28.2933 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 30})
Quotient :: dipole
Aut^+ = C6 x D30 (small group id <180, 34>)
Aut   = C2 x S3 x D30 (small group id <360, 154>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, Y2^6, (Y3 * Y2^-1)^30 ]
Map::
	R = (1, 181, 2, 182)(3, 183, 7, 187)(4, 184, 9, 189)(5, 185, 11, 191)(6, 186, 13, 193)(8, 188, 12, 192)(10, 190, 14, 194)(15, 195, 23, 203)(16, 196, 25, 205)(17, 197, 24, 204)(18, 198, 26, 206)(19, 199, 27, 207)(20, 200, 29, 209)(21, 201, 28, 208)(22, 202, 30, 210)(31, 211, 37, 217)(32, 212, 38, 218)(33, 213, 39, 219)(34, 214, 40, 220)(35, 215, 41, 221)(36, 216, 42, 222)(43, 223, 49, 229)(44, 224, 50, 230)(45, 225, 51, 231)(46, 226, 52, 232)(47, 227, 53, 233)(48, 228, 54, 234)(55, 235, 112, 292)(56, 236, 114, 294)(57, 237, 110, 290)(58, 238, 118, 298)(59, 239, 121, 301)(60, 240, 122, 302)(61, 241, 123, 303)(62, 242, 119, 299)(63, 243, 120, 300)(64, 244, 130, 310)(65, 245, 131, 311)(66, 246, 133, 313)(67, 247, 134, 314)(68, 248, 135, 315)(69, 249, 136, 316)(70, 250, 138, 318)(71, 251, 139, 319)(72, 252, 124, 304)(73, 253, 125, 305)(74, 254, 137, 317)(75, 255, 126, 306)(76, 256, 127, 307)(77, 257, 128, 308)(78, 258, 132, 312)(79, 259, 129, 309)(80, 260, 146, 326)(81, 261, 147, 327)(82, 262, 148, 328)(83, 263, 149, 329)(84, 264, 150, 330)(85, 265, 151, 331)(86, 266, 152, 332)(87, 267, 153, 333)(88, 268, 140, 320)(89, 269, 141, 321)(90, 270, 142, 322)(91, 271, 143, 323)(92, 272, 144, 324)(93, 273, 145, 325)(94, 274, 160, 340)(95, 275, 161, 341)(96, 276, 162, 342)(97, 277, 163, 343)(98, 278, 164, 344)(99, 279, 165, 345)(100, 280, 154, 334)(101, 281, 155, 335)(102, 282, 156, 336)(103, 283, 157, 337)(104, 284, 158, 338)(105, 285, 159, 339)(106, 286, 113, 293)(107, 287, 109, 289)(108, 288, 111, 291)(115, 295, 166, 346)(116, 296, 167, 347)(117, 297, 168, 348)(169, 349, 172, 352)(170, 350, 173, 353)(171, 351, 174, 354)(175, 355, 178, 358)(176, 356, 179, 359)(177, 357, 180, 360)(361, 541, 363, 543, 368, 548, 377, 557, 370, 550, 364, 544)(362, 542, 365, 545, 372, 552, 381, 561, 374, 554, 366, 546)(367, 547, 375, 555, 384, 564, 378, 558, 369, 549, 376, 556)(371, 551, 379, 559, 388, 568, 382, 562, 373, 553, 380, 560)(383, 563, 391, 571, 386, 566, 393, 573, 385, 565, 392, 572)(387, 567, 394, 574, 390, 570, 396, 576, 389, 569, 395, 575)(397, 577, 403, 583, 399, 579, 405, 585, 398, 578, 404, 584)(400, 580, 406, 586, 402, 582, 408, 588, 401, 581, 407, 587)(409, 589, 415, 595, 411, 591, 417, 597, 410, 590, 416, 596)(412, 592, 469, 649, 414, 594, 473, 653, 413, 593, 471, 651)(418, 598, 479, 659, 425, 605, 492, 672, 427, 607, 480, 660)(419, 599, 482, 662, 429, 609, 497, 677, 431, 611, 483, 663)(420, 600, 484, 664, 434, 614, 486, 666, 421, 601, 485, 665)(422, 602, 487, 667, 438, 618, 489, 669, 423, 603, 488, 668)(424, 604, 491, 671, 441, 621, 494, 674, 426, 606, 478, 658)(428, 608, 496, 676, 445, 625, 499, 679, 430, 610, 481, 661)(432, 612, 500, 680, 435, 615, 502, 682, 433, 613, 501, 681)(436, 616, 503, 683, 439, 619, 505, 685, 437, 617, 504, 684)(440, 620, 507, 687, 443, 623, 493, 673, 442, 622, 490, 670)(444, 624, 511, 691, 447, 627, 498, 678, 446, 626, 495, 675)(448, 628, 514, 694, 450, 630, 516, 696, 449, 629, 515, 695)(451, 631, 517, 697, 453, 633, 519, 699, 452, 632, 518, 698)(454, 634, 509, 689, 456, 636, 508, 688, 455, 635, 506, 686)(457, 637, 513, 693, 459, 639, 512, 692, 458, 638, 510, 690)(460, 640, 526, 706, 462, 642, 528, 708, 461, 641, 527, 707)(463, 643, 529, 709, 465, 645, 531, 711, 464, 644, 530, 710)(466, 646, 522, 702, 468, 648, 521, 701, 467, 647, 520, 700)(470, 650, 525, 705, 474, 654, 524, 704, 472, 652, 523, 703)(475, 655, 535, 715, 477, 657, 537, 717, 476, 656, 536, 716)(532, 712, 538, 718, 534, 714, 540, 720, 533, 713, 539, 719)
	L = (1, 362)(2, 361)(3, 367)(4, 369)(5, 371)(6, 373)(7, 363)(8, 372)(9, 364)(10, 374)(11, 365)(12, 368)(13, 366)(14, 370)(15, 383)(16, 385)(17, 384)(18, 386)(19, 387)(20, 389)(21, 388)(22, 390)(23, 375)(24, 377)(25, 376)(26, 378)(27, 379)(28, 381)(29, 380)(30, 382)(31, 397)(32, 398)(33, 399)(34, 400)(35, 401)(36, 402)(37, 391)(38, 392)(39, 393)(40, 394)(41, 395)(42, 396)(43, 409)(44, 410)(45, 411)(46, 412)(47, 413)(48, 414)(49, 403)(50, 404)(51, 405)(52, 406)(53, 407)(54, 408)(55, 472)(56, 474)(57, 470)(58, 478)(59, 481)(60, 482)(61, 483)(62, 479)(63, 480)(64, 490)(65, 491)(66, 493)(67, 494)(68, 495)(69, 496)(70, 498)(71, 499)(72, 484)(73, 485)(74, 497)(75, 486)(76, 487)(77, 488)(78, 492)(79, 489)(80, 506)(81, 507)(82, 508)(83, 509)(84, 510)(85, 511)(86, 512)(87, 513)(88, 500)(89, 501)(90, 502)(91, 503)(92, 504)(93, 505)(94, 520)(95, 521)(96, 522)(97, 523)(98, 524)(99, 525)(100, 514)(101, 515)(102, 516)(103, 517)(104, 518)(105, 519)(106, 473)(107, 469)(108, 471)(109, 467)(110, 417)(111, 468)(112, 415)(113, 466)(114, 416)(115, 526)(116, 527)(117, 528)(118, 418)(119, 422)(120, 423)(121, 419)(122, 420)(123, 421)(124, 432)(125, 433)(126, 435)(127, 436)(128, 437)(129, 439)(130, 424)(131, 425)(132, 438)(133, 426)(134, 427)(135, 428)(136, 429)(137, 434)(138, 430)(139, 431)(140, 448)(141, 449)(142, 450)(143, 451)(144, 452)(145, 453)(146, 440)(147, 441)(148, 442)(149, 443)(150, 444)(151, 445)(152, 446)(153, 447)(154, 460)(155, 461)(156, 462)(157, 463)(158, 464)(159, 465)(160, 454)(161, 455)(162, 456)(163, 457)(164, 458)(165, 459)(166, 475)(167, 476)(168, 477)(169, 532)(170, 533)(171, 534)(172, 529)(173, 530)(174, 531)(175, 538)(176, 539)(177, 540)(178, 535)(179, 536)(180, 537)(181, 541)(182, 542)(183, 543)(184, 544)(185, 545)(186, 546)(187, 547)(188, 548)(189, 549)(190, 550)(191, 551)(192, 552)(193, 553)(194, 554)(195, 555)(196, 556)(197, 557)(198, 558)(199, 559)(200, 560)(201, 561)(202, 562)(203, 563)(204, 564)(205, 565)(206, 566)(207, 567)(208, 568)(209, 569)(210, 570)(211, 571)(212, 572)(213, 573)(214, 574)(215, 575)(216, 576)(217, 577)(218, 578)(219, 579)(220, 580)(221, 581)(222, 582)(223, 583)(224, 584)(225, 585)(226, 586)(227, 587)(228, 588)(229, 589)(230, 590)(231, 591)(232, 592)(233, 593)(234, 594)(235, 595)(236, 596)(237, 597)(238, 598)(239, 599)(240, 600)(241, 601)(242, 602)(243, 603)(244, 604)(245, 605)(246, 606)(247, 607)(248, 608)(249, 609)(250, 610)(251, 611)(252, 612)(253, 613)(254, 614)(255, 615)(256, 616)(257, 617)(258, 618)(259, 619)(260, 620)(261, 621)(262, 622)(263, 623)(264, 624)(265, 625)(266, 626)(267, 627)(268, 628)(269, 629)(270, 630)(271, 631)(272, 632)(273, 633)(274, 634)(275, 635)(276, 636)(277, 637)(278, 638)(279, 639)(280, 640)(281, 641)(282, 642)(283, 643)(284, 644)(285, 645)(286, 646)(287, 647)(288, 648)(289, 649)(290, 650)(291, 651)(292, 652)(293, 653)(294, 654)(295, 655)(296, 656)(297, 657)(298, 658)(299, 659)(300, 660)(301, 661)(302, 662)(303, 663)(304, 664)(305, 665)(306, 666)(307, 667)(308, 668)(309, 669)(310, 670)(311, 671)(312, 672)(313, 673)(314, 674)(315, 675)(316, 676)(317, 677)(318, 678)(319, 679)(320, 680)(321, 681)(322, 682)(323, 683)(324, 684)(325, 685)(326, 686)(327, 687)(328, 688)(329, 689)(330, 690)(331, 691)(332, 692)(333, 693)(334, 694)(335, 695)(336, 696)(337, 697)(338, 698)(339, 699)(340, 700)(341, 701)(342, 702)(343, 703)(344, 704)(345, 705)(346, 706)(347, 707)(348, 708)(349, 709)(350, 710)(351, 711)(352, 712)(353, 713)(354, 714)(355, 715)(356, 716)(357, 717)(358, 718)(359, 719)(360, 720)
	local type(s) :: { ( 2, 60, 2, 60 ), ( 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.2939
Graph:: bipartite
	v = 120 e = 360 f = 186
	degree seq :: [ 4^90, 12^30 ]

E28.2934 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 30})
Quotient :: dipole
Aut^+ = S3 x D30 (small group id <180, 29>)
Aut   = C2 x S3 x D30 (small group id <360, 154>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1 * Y2^-1)^2, Y2^6, (Y3 * Y2^-1)^30 ]
Map::
	R = (1, 181, 2, 182)(3, 183, 7, 187)(4, 184, 9, 189)(5, 185, 11, 191)(6, 186, 13, 193)(8, 188, 14, 194)(10, 190, 12, 192)(15, 195, 23, 203)(16, 196, 24, 204)(17, 197, 25, 205)(18, 198, 26, 206)(19, 199, 27, 207)(20, 200, 28, 208)(21, 201, 29, 209)(22, 202, 30, 210)(31, 211, 37, 217)(32, 212, 38, 218)(33, 213, 39, 219)(34, 214, 40, 220)(35, 215, 41, 221)(36, 216, 42, 222)(43, 223, 49, 229)(44, 224, 50, 230)(45, 225, 51, 231)(46, 226, 52, 232)(47, 227, 53, 233)(48, 228, 54, 234)(55, 235, 85, 265)(56, 236, 87, 267)(57, 237, 89, 269)(58, 238, 91, 271)(59, 239, 93, 273)(60, 240, 95, 275)(61, 241, 97, 277)(62, 242, 101, 281)(63, 243, 100, 280)(64, 244, 98, 278)(65, 245, 105, 285)(66, 246, 108, 288)(67, 247, 107, 287)(68, 248, 111, 291)(69, 249, 113, 293)(70, 250, 116, 296)(71, 251, 115, 295)(72, 252, 119, 299)(73, 253, 121, 301)(74, 254, 123, 303)(75, 255, 125, 305)(76, 256, 127, 307)(77, 257, 129, 309)(78, 258, 131, 311)(79, 259, 133, 313)(80, 260, 135, 315)(81, 261, 137, 317)(82, 262, 139, 319)(83, 263, 141, 321)(84, 264, 143, 323)(86, 266, 146, 326)(88, 268, 145, 325)(90, 270, 148, 328)(92, 272, 152, 332)(94, 274, 155, 335)(96, 276, 157, 337)(99, 279, 160, 340)(102, 282, 163, 343)(103, 283, 151, 331)(104, 284, 161, 341)(106, 286, 168, 348)(109, 289, 170, 350)(110, 290, 154, 334)(112, 292, 167, 347)(114, 294, 175, 355)(117, 297, 177, 357)(118, 298, 159, 339)(120, 300, 174, 354)(122, 302, 176, 356)(124, 304, 178, 358)(126, 306, 180, 360)(128, 308, 169, 349)(130, 310, 171, 351)(132, 312, 173, 353)(134, 314, 164, 344)(136, 316, 179, 359)(138, 318, 162, 342)(140, 320, 158, 338)(142, 322, 172, 352)(144, 324, 156, 336)(147, 327, 153, 333)(149, 329, 166, 346)(150, 330, 165, 345)(361, 541, 363, 543, 368, 548, 377, 557, 370, 550, 364, 544)(362, 542, 365, 545, 372, 552, 381, 561, 374, 554, 366, 546)(367, 547, 375, 555, 369, 549, 378, 558, 385, 565, 376, 556)(371, 551, 379, 559, 373, 553, 382, 562, 389, 569, 380, 560)(383, 563, 391, 571, 384, 564, 393, 573, 386, 566, 392, 572)(387, 567, 394, 574, 388, 568, 396, 576, 390, 570, 395, 575)(397, 577, 403, 583, 398, 578, 405, 585, 399, 579, 404, 584)(400, 580, 406, 586, 401, 581, 408, 588, 402, 582, 407, 587)(409, 589, 415, 595, 410, 590, 417, 597, 411, 591, 416, 596)(412, 592, 424, 604, 413, 593, 423, 603, 414, 594, 418, 598)(419, 599, 445, 625, 420, 600, 447, 627, 427, 607, 449, 629)(421, 601, 458, 638, 422, 602, 451, 631, 431, 611, 460, 640)(425, 605, 455, 635, 426, 606, 453, 633, 428, 608, 467, 647)(429, 609, 461, 641, 430, 610, 457, 637, 432, 612, 475, 655)(433, 613, 468, 648, 434, 614, 465, 645, 435, 615, 471, 651)(436, 616, 476, 656, 437, 617, 473, 653, 438, 618, 479, 659)(439, 619, 483, 663, 440, 620, 481, 661, 441, 621, 485, 665)(442, 622, 489, 669, 443, 623, 487, 667, 444, 624, 491, 671)(446, 626, 495, 675, 448, 628, 493, 673, 450, 630, 497, 677)(452, 632, 499, 679, 463, 643, 503, 683, 464, 644, 501, 681)(454, 634, 506, 686, 470, 650, 508, 688, 456, 636, 505, 685)(459, 639, 521, 701, 478, 658, 511, 691, 462, 642, 512, 692)(466, 646, 517, 697, 472, 652, 514, 694, 469, 649, 515, 695)(474, 654, 523, 703, 480, 660, 519, 699, 477, 657, 520, 700)(482, 662, 530, 710, 486, 666, 527, 707, 484, 664, 528, 708)(488, 668, 537, 717, 492, 672, 534, 714, 490, 670, 535, 715)(494, 674, 538, 718, 498, 678, 540, 720, 496, 676, 536, 716)(500, 680, 531, 711, 504, 684, 533, 713, 502, 682, 529, 709)(507, 687, 539, 719, 510, 690, 522, 702, 509, 689, 524, 704)(513, 693, 518, 698, 526, 706, 532, 712, 525, 705, 516, 696)
	L = (1, 362)(2, 361)(3, 367)(4, 369)(5, 371)(6, 373)(7, 363)(8, 374)(9, 364)(10, 372)(11, 365)(12, 370)(13, 366)(14, 368)(15, 383)(16, 384)(17, 385)(18, 386)(19, 387)(20, 388)(21, 389)(22, 390)(23, 375)(24, 376)(25, 377)(26, 378)(27, 379)(28, 380)(29, 381)(30, 382)(31, 397)(32, 398)(33, 399)(34, 400)(35, 401)(36, 402)(37, 391)(38, 392)(39, 393)(40, 394)(41, 395)(42, 396)(43, 409)(44, 410)(45, 411)(46, 412)(47, 413)(48, 414)(49, 403)(50, 404)(51, 405)(52, 406)(53, 407)(54, 408)(55, 445)(56, 447)(57, 449)(58, 451)(59, 453)(60, 455)(61, 457)(62, 461)(63, 460)(64, 458)(65, 465)(66, 468)(67, 467)(68, 471)(69, 473)(70, 476)(71, 475)(72, 479)(73, 481)(74, 483)(75, 485)(76, 487)(77, 489)(78, 491)(79, 493)(80, 495)(81, 497)(82, 499)(83, 501)(84, 503)(85, 415)(86, 506)(87, 416)(88, 505)(89, 417)(90, 508)(91, 418)(92, 512)(93, 419)(94, 515)(95, 420)(96, 517)(97, 421)(98, 424)(99, 520)(100, 423)(101, 422)(102, 523)(103, 511)(104, 521)(105, 425)(106, 528)(107, 427)(108, 426)(109, 530)(110, 514)(111, 428)(112, 527)(113, 429)(114, 535)(115, 431)(116, 430)(117, 537)(118, 519)(119, 432)(120, 534)(121, 433)(122, 536)(123, 434)(124, 538)(125, 435)(126, 540)(127, 436)(128, 529)(129, 437)(130, 531)(131, 438)(132, 533)(133, 439)(134, 524)(135, 440)(136, 539)(137, 441)(138, 522)(139, 442)(140, 518)(141, 443)(142, 532)(143, 444)(144, 516)(145, 448)(146, 446)(147, 513)(148, 450)(149, 526)(150, 525)(151, 463)(152, 452)(153, 507)(154, 470)(155, 454)(156, 504)(157, 456)(158, 500)(159, 478)(160, 459)(161, 464)(162, 498)(163, 462)(164, 494)(165, 510)(166, 509)(167, 472)(168, 466)(169, 488)(170, 469)(171, 490)(172, 502)(173, 492)(174, 480)(175, 474)(176, 482)(177, 477)(178, 484)(179, 496)(180, 486)(181, 541)(182, 542)(183, 543)(184, 544)(185, 545)(186, 546)(187, 547)(188, 548)(189, 549)(190, 550)(191, 551)(192, 552)(193, 553)(194, 554)(195, 555)(196, 556)(197, 557)(198, 558)(199, 559)(200, 560)(201, 561)(202, 562)(203, 563)(204, 564)(205, 565)(206, 566)(207, 567)(208, 568)(209, 569)(210, 570)(211, 571)(212, 572)(213, 573)(214, 574)(215, 575)(216, 576)(217, 577)(218, 578)(219, 579)(220, 580)(221, 581)(222, 582)(223, 583)(224, 584)(225, 585)(226, 586)(227, 587)(228, 588)(229, 589)(230, 590)(231, 591)(232, 592)(233, 593)(234, 594)(235, 595)(236, 596)(237, 597)(238, 598)(239, 599)(240, 600)(241, 601)(242, 602)(243, 603)(244, 604)(245, 605)(246, 606)(247, 607)(248, 608)(249, 609)(250, 610)(251, 611)(252, 612)(253, 613)(254, 614)(255, 615)(256, 616)(257, 617)(258, 618)(259, 619)(260, 620)(261, 621)(262, 622)(263, 623)(264, 624)(265, 625)(266, 626)(267, 627)(268, 628)(269, 629)(270, 630)(271, 631)(272, 632)(273, 633)(274, 634)(275, 635)(276, 636)(277, 637)(278, 638)(279, 639)(280, 640)(281, 641)(282, 642)(283, 643)(284, 644)(285, 645)(286, 646)(287, 647)(288, 648)(289, 649)(290, 650)(291, 651)(292, 652)(293, 653)(294, 654)(295, 655)(296, 656)(297, 657)(298, 658)(299, 659)(300, 660)(301, 661)(302, 662)(303, 663)(304, 664)(305, 665)(306, 666)(307, 667)(308, 668)(309, 669)(310, 670)(311, 671)(312, 672)(313, 673)(314, 674)(315, 675)(316, 676)(317, 677)(318, 678)(319, 679)(320, 680)(321, 681)(322, 682)(323, 683)(324, 684)(325, 685)(326, 686)(327, 687)(328, 688)(329, 689)(330, 690)(331, 691)(332, 692)(333, 693)(334, 694)(335, 695)(336, 696)(337, 697)(338, 698)(339, 699)(340, 700)(341, 701)(342, 702)(343, 703)(344, 704)(345, 705)(346, 706)(347, 707)(348, 708)(349, 709)(350, 710)(351, 711)(352, 712)(353, 713)(354, 714)(355, 715)(356, 716)(357, 717)(358, 718)(359, 719)(360, 720)
	local type(s) :: { ( 2, 60, 2, 60 ), ( 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.2940
Graph:: bipartite
	v = 120 e = 360 f = 186
	degree seq :: [ 4^90, 12^30 ]

E28.2935 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 30})
Quotient :: dipole
Aut^+ = C6 x D30 (small group id <180, 34>)
Aut   = C2 x S3 x D30 (small group id <360, 154>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, (Y2 * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, R * Y2 * R * Y3, Y2^-1 * Y1 * Y2^-1 * Y1^-3, Y2^-1 * Y1 * Y2^-1 * Y1^3, (Y2^-2 * Y1)^2, Y2^30 ]
Map::
	R = (1, 181, 2, 182, 6, 186, 16, 196, 13, 193, 4, 184)(3, 183, 9, 189, 17, 197, 8, 188, 21, 201, 11, 191)(5, 185, 14, 194, 18, 198, 12, 192, 20, 200, 7, 187)(10, 190, 24, 204, 29, 209, 23, 203, 33, 213, 22, 202)(15, 195, 26, 206, 30, 210, 19, 199, 31, 211, 27, 207)(25, 205, 34, 214, 41, 221, 36, 216, 45, 225, 35, 215)(28, 208, 32, 212, 42, 222, 39, 219, 43, 223, 38, 218)(37, 217, 47, 227, 53, 233, 46, 226, 57, 237, 48, 228)(40, 220, 51, 231, 54, 234, 50, 230, 55, 235, 44, 224)(49, 229, 60, 240, 65, 245, 59, 239, 69, 249, 58, 238)(52, 232, 62, 242, 66, 246, 56, 236, 67, 247, 63, 243)(61, 241, 70, 250, 77, 257, 72, 252, 81, 261, 71, 251)(64, 244, 68, 248, 78, 258, 75, 255, 79, 259, 74, 254)(73, 253, 83, 263, 89, 269, 82, 262, 93, 273, 84, 264)(76, 256, 87, 267, 90, 270, 86, 266, 91, 271, 80, 260)(85, 265, 96, 276, 101, 281, 95, 275, 105, 285, 94, 274)(88, 268, 98, 278, 102, 282, 92, 272, 103, 283, 99, 279)(97, 277, 106, 286, 113, 293, 108, 288, 117, 297, 107, 287)(100, 280, 104, 284, 114, 294, 111, 291, 115, 295, 110, 290)(109, 289, 119, 299, 125, 305, 118, 298, 129, 309, 120, 300)(112, 292, 123, 303, 126, 306, 122, 302, 127, 307, 116, 296)(121, 301, 132, 312, 137, 317, 131, 311, 141, 321, 130, 310)(124, 304, 134, 314, 138, 318, 128, 308, 139, 319, 135, 315)(133, 313, 142, 322, 149, 329, 144, 324, 153, 333, 143, 323)(136, 316, 140, 320, 150, 330, 147, 327, 151, 331, 146, 326)(145, 325, 155, 335, 161, 341, 154, 334, 165, 345, 156, 336)(148, 328, 159, 339, 162, 342, 158, 338, 163, 343, 152, 332)(157, 337, 168, 348, 172, 352, 167, 347, 176, 356, 166, 346)(160, 340, 170, 350, 173, 353, 164, 344, 174, 354, 171, 351)(169, 349, 175, 355, 179, 359, 178, 358, 180, 360, 177, 357)(361, 541, 363, 543, 370, 550, 385, 565, 397, 577, 409, 589, 421, 601, 433, 613, 445, 625, 457, 637, 469, 649, 481, 661, 493, 673, 505, 685, 517, 697, 529, 709, 520, 700, 508, 688, 496, 676, 484, 664, 472, 652, 460, 640, 448, 628, 436, 616, 424, 604, 412, 592, 400, 580, 388, 568, 375, 555, 365, 545)(362, 542, 367, 547, 379, 559, 392, 572, 404, 584, 416, 596, 428, 608, 440, 620, 452, 632, 464, 644, 476, 656, 488, 668, 500, 680, 512, 692, 524, 704, 535, 715, 526, 706, 514, 694, 502, 682, 490, 670, 478, 658, 466, 646, 454, 634, 442, 622, 430, 610, 418, 598, 406, 586, 394, 574, 382, 562, 368, 548)(364, 544, 372, 552, 386, 566, 398, 578, 410, 590, 422, 602, 434, 614, 446, 626, 458, 638, 470, 650, 482, 662, 494, 674, 506, 686, 518, 698, 530, 710, 537, 717, 527, 707, 515, 695, 503, 683, 491, 671, 479, 659, 467, 647, 455, 635, 443, 623, 431, 611, 419, 599, 407, 587, 395, 575, 383, 563, 369, 549)(366, 546, 377, 557, 389, 569, 401, 581, 413, 593, 425, 605, 437, 617, 449, 629, 461, 641, 473, 653, 485, 665, 497, 677, 509, 689, 521, 701, 532, 712, 539, 719, 533, 713, 522, 702, 510, 690, 498, 678, 486, 666, 474, 654, 462, 642, 450, 630, 438, 618, 426, 606, 414, 594, 402, 582, 390, 570, 378, 558)(371, 551, 376, 556, 374, 554, 387, 567, 399, 579, 411, 591, 423, 603, 435, 615, 447, 627, 459, 639, 471, 651, 483, 663, 495, 675, 507, 687, 519, 699, 531, 711, 538, 718, 528, 708, 516, 696, 504, 684, 492, 672, 480, 660, 468, 648, 456, 636, 444, 624, 432, 612, 420, 600, 408, 588, 396, 576, 384, 564)(373, 553, 381, 561, 393, 573, 405, 585, 417, 597, 429, 609, 441, 621, 453, 633, 465, 645, 477, 657, 489, 669, 501, 681, 513, 693, 525, 705, 536, 716, 540, 720, 534, 714, 523, 703, 511, 691, 499, 679, 487, 667, 475, 655, 463, 643, 451, 631, 439, 619, 427, 607, 415, 595, 403, 583, 391, 571, 380, 560)
	L = (1, 363)(2, 367)(3, 370)(4, 372)(5, 361)(6, 377)(7, 379)(8, 362)(9, 364)(10, 385)(11, 376)(12, 386)(13, 381)(14, 387)(15, 365)(16, 374)(17, 389)(18, 366)(19, 392)(20, 373)(21, 393)(22, 368)(23, 369)(24, 371)(25, 397)(26, 398)(27, 399)(28, 375)(29, 401)(30, 378)(31, 380)(32, 404)(33, 405)(34, 382)(35, 383)(36, 384)(37, 409)(38, 410)(39, 411)(40, 388)(41, 413)(42, 390)(43, 391)(44, 416)(45, 417)(46, 394)(47, 395)(48, 396)(49, 421)(50, 422)(51, 423)(52, 400)(53, 425)(54, 402)(55, 403)(56, 428)(57, 429)(58, 406)(59, 407)(60, 408)(61, 433)(62, 434)(63, 435)(64, 412)(65, 437)(66, 414)(67, 415)(68, 440)(69, 441)(70, 418)(71, 419)(72, 420)(73, 445)(74, 446)(75, 447)(76, 424)(77, 449)(78, 426)(79, 427)(80, 452)(81, 453)(82, 430)(83, 431)(84, 432)(85, 457)(86, 458)(87, 459)(88, 436)(89, 461)(90, 438)(91, 439)(92, 464)(93, 465)(94, 442)(95, 443)(96, 444)(97, 469)(98, 470)(99, 471)(100, 448)(101, 473)(102, 450)(103, 451)(104, 476)(105, 477)(106, 454)(107, 455)(108, 456)(109, 481)(110, 482)(111, 483)(112, 460)(113, 485)(114, 462)(115, 463)(116, 488)(117, 489)(118, 466)(119, 467)(120, 468)(121, 493)(122, 494)(123, 495)(124, 472)(125, 497)(126, 474)(127, 475)(128, 500)(129, 501)(130, 478)(131, 479)(132, 480)(133, 505)(134, 506)(135, 507)(136, 484)(137, 509)(138, 486)(139, 487)(140, 512)(141, 513)(142, 490)(143, 491)(144, 492)(145, 517)(146, 518)(147, 519)(148, 496)(149, 521)(150, 498)(151, 499)(152, 524)(153, 525)(154, 502)(155, 503)(156, 504)(157, 529)(158, 530)(159, 531)(160, 508)(161, 532)(162, 510)(163, 511)(164, 535)(165, 536)(166, 514)(167, 515)(168, 516)(169, 520)(170, 537)(171, 538)(172, 539)(173, 522)(174, 523)(175, 526)(176, 540)(177, 527)(178, 528)(179, 533)(180, 534)(181, 541)(182, 542)(183, 543)(184, 544)(185, 545)(186, 546)(187, 547)(188, 548)(189, 549)(190, 550)(191, 551)(192, 552)(193, 553)(194, 554)(195, 555)(196, 556)(197, 557)(198, 558)(199, 559)(200, 560)(201, 561)(202, 562)(203, 563)(204, 564)(205, 565)(206, 566)(207, 567)(208, 568)(209, 569)(210, 570)(211, 571)(212, 572)(213, 573)(214, 574)(215, 575)(216, 576)(217, 577)(218, 578)(219, 579)(220, 580)(221, 581)(222, 582)(223, 583)(224, 584)(225, 585)(226, 586)(227, 587)(228, 588)(229, 589)(230, 590)(231, 591)(232, 592)(233, 593)(234, 594)(235, 595)(236, 596)(237, 597)(238, 598)(239, 599)(240, 600)(241, 601)(242, 602)(243, 603)(244, 604)(245, 605)(246, 606)(247, 607)(248, 608)(249, 609)(250, 610)(251, 611)(252, 612)(253, 613)(254, 614)(255, 615)(256, 616)(257, 617)(258, 618)(259, 619)(260, 620)(261, 621)(262, 622)(263, 623)(264, 624)(265, 625)(266, 626)(267, 627)(268, 628)(269, 629)(270, 630)(271, 631)(272, 632)(273, 633)(274, 634)(275, 635)(276, 636)(277, 637)(278, 638)(279, 639)(280, 640)(281, 641)(282, 642)(283, 643)(284, 644)(285, 645)(286, 646)(287, 647)(288, 648)(289, 649)(290, 650)(291, 651)(292, 652)(293, 653)(294, 654)(295, 655)(296, 656)(297, 657)(298, 658)(299, 659)(300, 660)(301, 661)(302, 662)(303, 663)(304, 664)(305, 665)(306, 666)(307, 667)(308, 668)(309, 669)(310, 670)(311, 671)(312, 672)(313, 673)(314, 674)(315, 675)(316, 676)(317, 677)(318, 678)(319, 679)(320, 680)(321, 681)(322, 682)(323, 683)(324, 684)(325, 685)(326, 686)(327, 687)(328, 688)(329, 689)(330, 690)(331, 691)(332, 692)(333, 693)(334, 694)(335, 695)(336, 696)(337, 697)(338, 698)(339, 699)(340, 700)(341, 701)(342, 702)(343, 703)(344, 704)(345, 705)(346, 706)(347, 707)(348, 708)(349, 709)(350, 710)(351, 711)(352, 712)(353, 713)(354, 714)(355, 715)(356, 716)(357, 717)(358, 718)(359, 719)(360, 720)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.2937
Graph:: bipartite
	v = 36 e = 360 f = 270
	degree seq :: [ 12^30, 60^6 ]

E28.2936 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 30})
Quotient :: dipole
Aut^+ = S3 x D30 (small group id <180, 29>)
Aut   = C2 x S3 x D30 (small group id <360, 154>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (Y2 * Y1)^2, (R * Y3)^2, (Y2 * Y1^-1)^2, Y1^6, Y2^30 ]
Map::
	R = (1, 181, 2, 182, 6, 186, 14, 194, 12, 192, 4, 184)(3, 183, 9, 189, 19, 199, 26, 206, 15, 195, 8, 188)(5, 185, 11, 191, 22, 202, 25, 205, 16, 196, 7, 187)(10, 190, 18, 198, 27, 207, 38, 218, 31, 211, 20, 200)(13, 193, 17, 197, 28, 208, 37, 217, 34, 214, 23, 203)(21, 201, 32, 212, 43, 223, 50, 230, 39, 219, 30, 210)(24, 204, 35, 215, 46, 226, 49, 229, 40, 220, 29, 209)(33, 213, 42, 222, 51, 231, 62, 242, 55, 235, 44, 224)(36, 216, 41, 221, 52, 232, 61, 241, 58, 238, 47, 227)(45, 225, 56, 236, 67, 247, 74, 254, 63, 243, 54, 234)(48, 228, 59, 239, 70, 250, 73, 253, 64, 244, 53, 233)(57, 237, 66, 246, 75, 255, 86, 266, 79, 259, 68, 248)(60, 240, 65, 245, 76, 256, 85, 265, 82, 262, 71, 251)(69, 249, 80, 260, 91, 271, 98, 278, 87, 267, 78, 258)(72, 252, 83, 263, 94, 274, 97, 277, 88, 268, 77, 257)(81, 261, 90, 270, 99, 279, 110, 290, 103, 283, 92, 272)(84, 264, 89, 269, 100, 280, 109, 289, 106, 286, 95, 275)(93, 273, 104, 284, 115, 295, 122, 302, 111, 291, 102, 282)(96, 276, 107, 287, 118, 298, 121, 301, 112, 292, 101, 281)(105, 285, 114, 294, 123, 303, 134, 314, 127, 307, 116, 296)(108, 288, 113, 293, 124, 304, 133, 313, 130, 310, 119, 299)(117, 297, 128, 308, 139, 319, 146, 326, 135, 315, 126, 306)(120, 300, 131, 311, 142, 322, 145, 325, 136, 316, 125, 305)(129, 309, 138, 318, 147, 327, 158, 338, 151, 331, 140, 320)(132, 312, 137, 317, 148, 328, 157, 337, 154, 334, 143, 323)(141, 321, 152, 332, 163, 343, 169, 349, 159, 339, 150, 330)(144, 324, 155, 335, 166, 346, 168, 348, 160, 340, 149, 329)(153, 333, 162, 342, 170, 350, 177, 357, 173, 353, 164, 344)(156, 336, 161, 341, 171, 351, 176, 356, 175, 355, 167, 347)(165, 345, 174, 354, 179, 359, 180, 360, 178, 358, 172, 352)(361, 541, 363, 543, 370, 550, 381, 561, 393, 573, 405, 585, 417, 597, 429, 609, 441, 621, 453, 633, 465, 645, 477, 657, 489, 669, 501, 681, 513, 693, 525, 705, 516, 696, 504, 684, 492, 672, 480, 660, 468, 648, 456, 636, 444, 624, 432, 612, 420, 600, 408, 588, 396, 576, 384, 564, 373, 553, 365, 545)(362, 542, 367, 547, 377, 557, 389, 569, 401, 581, 413, 593, 425, 605, 437, 617, 449, 629, 461, 641, 473, 653, 485, 665, 497, 677, 509, 689, 521, 701, 532, 712, 522, 702, 510, 690, 498, 678, 486, 666, 474, 654, 462, 642, 450, 630, 438, 618, 426, 606, 414, 594, 402, 582, 390, 570, 378, 558, 368, 548)(364, 544, 371, 551, 383, 563, 395, 575, 407, 587, 419, 599, 431, 611, 443, 623, 455, 635, 467, 647, 479, 659, 491, 671, 503, 683, 515, 695, 527, 707, 534, 714, 524, 704, 512, 692, 500, 680, 488, 668, 476, 656, 464, 644, 452, 632, 440, 620, 428, 608, 416, 596, 404, 584, 392, 572, 380, 560, 369, 549)(366, 546, 375, 555, 387, 567, 399, 579, 411, 591, 423, 603, 435, 615, 447, 627, 459, 639, 471, 651, 483, 663, 495, 675, 507, 687, 519, 699, 530, 710, 538, 718, 531, 711, 520, 700, 508, 688, 496, 676, 484, 664, 472, 652, 460, 640, 448, 628, 436, 616, 424, 604, 412, 592, 400, 580, 388, 568, 376, 556)(372, 552, 379, 559, 391, 571, 403, 583, 415, 595, 427, 607, 439, 619, 451, 631, 463, 643, 475, 655, 487, 667, 499, 679, 511, 691, 523, 703, 533, 713, 539, 719, 535, 715, 526, 706, 514, 694, 502, 682, 490, 670, 478, 658, 466, 646, 454, 634, 442, 622, 430, 610, 418, 598, 406, 586, 394, 574, 382, 562)(374, 554, 385, 565, 397, 577, 409, 589, 421, 601, 433, 613, 445, 625, 457, 637, 469, 649, 481, 661, 493, 673, 505, 685, 517, 697, 528, 708, 536, 716, 540, 720, 537, 717, 529, 709, 518, 698, 506, 686, 494, 674, 482, 662, 470, 650, 458, 638, 446, 626, 434, 614, 422, 602, 410, 590, 398, 578, 386, 566)
	L = (1, 363)(2, 367)(3, 370)(4, 371)(5, 361)(6, 375)(7, 377)(8, 362)(9, 364)(10, 381)(11, 383)(12, 379)(13, 365)(14, 385)(15, 387)(16, 366)(17, 389)(18, 368)(19, 391)(20, 369)(21, 393)(22, 372)(23, 395)(24, 373)(25, 397)(26, 374)(27, 399)(28, 376)(29, 401)(30, 378)(31, 403)(32, 380)(33, 405)(34, 382)(35, 407)(36, 384)(37, 409)(38, 386)(39, 411)(40, 388)(41, 413)(42, 390)(43, 415)(44, 392)(45, 417)(46, 394)(47, 419)(48, 396)(49, 421)(50, 398)(51, 423)(52, 400)(53, 425)(54, 402)(55, 427)(56, 404)(57, 429)(58, 406)(59, 431)(60, 408)(61, 433)(62, 410)(63, 435)(64, 412)(65, 437)(66, 414)(67, 439)(68, 416)(69, 441)(70, 418)(71, 443)(72, 420)(73, 445)(74, 422)(75, 447)(76, 424)(77, 449)(78, 426)(79, 451)(80, 428)(81, 453)(82, 430)(83, 455)(84, 432)(85, 457)(86, 434)(87, 459)(88, 436)(89, 461)(90, 438)(91, 463)(92, 440)(93, 465)(94, 442)(95, 467)(96, 444)(97, 469)(98, 446)(99, 471)(100, 448)(101, 473)(102, 450)(103, 475)(104, 452)(105, 477)(106, 454)(107, 479)(108, 456)(109, 481)(110, 458)(111, 483)(112, 460)(113, 485)(114, 462)(115, 487)(116, 464)(117, 489)(118, 466)(119, 491)(120, 468)(121, 493)(122, 470)(123, 495)(124, 472)(125, 497)(126, 474)(127, 499)(128, 476)(129, 501)(130, 478)(131, 503)(132, 480)(133, 505)(134, 482)(135, 507)(136, 484)(137, 509)(138, 486)(139, 511)(140, 488)(141, 513)(142, 490)(143, 515)(144, 492)(145, 517)(146, 494)(147, 519)(148, 496)(149, 521)(150, 498)(151, 523)(152, 500)(153, 525)(154, 502)(155, 527)(156, 504)(157, 528)(158, 506)(159, 530)(160, 508)(161, 532)(162, 510)(163, 533)(164, 512)(165, 516)(166, 514)(167, 534)(168, 536)(169, 518)(170, 538)(171, 520)(172, 522)(173, 539)(174, 524)(175, 526)(176, 540)(177, 529)(178, 531)(179, 535)(180, 537)(181, 541)(182, 542)(183, 543)(184, 544)(185, 545)(186, 546)(187, 547)(188, 548)(189, 549)(190, 550)(191, 551)(192, 552)(193, 553)(194, 554)(195, 555)(196, 556)(197, 557)(198, 558)(199, 559)(200, 560)(201, 561)(202, 562)(203, 563)(204, 564)(205, 565)(206, 566)(207, 567)(208, 568)(209, 569)(210, 570)(211, 571)(212, 572)(213, 573)(214, 574)(215, 575)(216, 576)(217, 577)(218, 578)(219, 579)(220, 580)(221, 581)(222, 582)(223, 583)(224, 584)(225, 585)(226, 586)(227, 587)(228, 588)(229, 589)(230, 590)(231, 591)(232, 592)(233, 593)(234, 594)(235, 595)(236, 596)(237, 597)(238, 598)(239, 599)(240, 600)(241, 601)(242, 602)(243, 603)(244, 604)(245, 605)(246, 606)(247, 607)(248, 608)(249, 609)(250, 610)(251, 611)(252, 612)(253, 613)(254, 614)(255, 615)(256, 616)(257, 617)(258, 618)(259, 619)(260, 620)(261, 621)(262, 622)(263, 623)(264, 624)(265, 625)(266, 626)(267, 627)(268, 628)(269, 629)(270, 630)(271, 631)(272, 632)(273, 633)(274, 634)(275, 635)(276, 636)(277, 637)(278, 638)(279, 639)(280, 640)(281, 641)(282, 642)(283, 643)(284, 644)(285, 645)(286, 646)(287, 647)(288, 648)(289, 649)(290, 650)(291, 651)(292, 652)(293, 653)(294, 654)(295, 655)(296, 656)(297, 657)(298, 658)(299, 659)(300, 660)(301, 661)(302, 662)(303, 663)(304, 664)(305, 665)(306, 666)(307, 667)(308, 668)(309, 669)(310, 670)(311, 671)(312, 672)(313, 673)(314, 674)(315, 675)(316, 676)(317, 677)(318, 678)(319, 679)(320, 680)(321, 681)(322, 682)(323, 683)(324, 684)(325, 685)(326, 686)(327, 687)(328, 688)(329, 689)(330, 690)(331, 691)(332, 692)(333, 693)(334, 694)(335, 695)(336, 696)(337, 697)(338, 698)(339, 699)(340, 700)(341, 701)(342, 702)(343, 703)(344, 704)(345, 705)(346, 706)(347, 707)(348, 708)(349, 709)(350, 710)(351, 711)(352, 712)(353, 713)(354, 714)(355, 715)(356, 716)(357, 717)(358, 718)(359, 719)(360, 720)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.2938
Graph:: bipartite
	v = 36 e = 360 f = 270
	degree seq :: [ 12^30, 60^6 ]

E28.2937 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 30})
Quotient :: dipole
Aut^+ = C6 x D30 (small group id <180, 34>)
Aut   = C2 x S3 x D30 (small group id <360, 154>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^3 * Y2)^2, Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2, Y3^-11 * Y2 * Y3^18 * Y2 * Y3^-1, (Y3^-1 * Y1^-1)^30 ]
Map:: polytopal
	R = (1, 181)(2, 182)(3, 183)(4, 184)(5, 185)(6, 186)(7, 187)(8, 188)(9, 189)(10, 190)(11, 191)(12, 192)(13, 193)(14, 194)(15, 195)(16, 196)(17, 197)(18, 198)(19, 199)(20, 200)(21, 201)(22, 202)(23, 203)(24, 204)(25, 205)(26, 206)(27, 207)(28, 208)(29, 209)(30, 210)(31, 211)(32, 212)(33, 213)(34, 214)(35, 215)(36, 216)(37, 217)(38, 218)(39, 219)(40, 220)(41, 221)(42, 222)(43, 223)(44, 224)(45, 225)(46, 226)(47, 227)(48, 228)(49, 229)(50, 230)(51, 231)(52, 232)(53, 233)(54, 234)(55, 235)(56, 236)(57, 237)(58, 238)(59, 239)(60, 240)(61, 241)(62, 242)(63, 243)(64, 244)(65, 245)(66, 246)(67, 247)(68, 248)(69, 249)(70, 250)(71, 251)(72, 252)(73, 253)(74, 254)(75, 255)(76, 256)(77, 257)(78, 258)(79, 259)(80, 260)(81, 261)(82, 262)(83, 263)(84, 264)(85, 265)(86, 266)(87, 267)(88, 268)(89, 269)(90, 270)(91, 271)(92, 272)(93, 273)(94, 274)(95, 275)(96, 276)(97, 277)(98, 278)(99, 279)(100, 280)(101, 281)(102, 282)(103, 283)(104, 284)(105, 285)(106, 286)(107, 287)(108, 288)(109, 289)(110, 290)(111, 291)(112, 292)(113, 293)(114, 294)(115, 295)(116, 296)(117, 297)(118, 298)(119, 299)(120, 300)(121, 301)(122, 302)(123, 303)(124, 304)(125, 305)(126, 306)(127, 307)(128, 308)(129, 309)(130, 310)(131, 311)(132, 312)(133, 313)(134, 314)(135, 315)(136, 316)(137, 317)(138, 318)(139, 319)(140, 320)(141, 321)(142, 322)(143, 323)(144, 324)(145, 325)(146, 326)(147, 327)(148, 328)(149, 329)(150, 330)(151, 331)(152, 332)(153, 333)(154, 334)(155, 335)(156, 336)(157, 337)(158, 338)(159, 339)(160, 340)(161, 341)(162, 342)(163, 343)(164, 344)(165, 345)(166, 346)(167, 347)(168, 348)(169, 349)(170, 350)(171, 351)(172, 352)(173, 353)(174, 354)(175, 355)(176, 356)(177, 357)(178, 358)(179, 359)(180, 360)(361, 541, 362, 542)(363, 543, 367, 547)(364, 544, 369, 549)(365, 545, 371, 551)(366, 546, 373, 553)(368, 548, 377, 557)(370, 550, 381, 561)(372, 552, 385, 565)(374, 554, 389, 569)(375, 555, 383, 563)(376, 556, 387, 567)(378, 558, 390, 570)(379, 559, 384, 564)(380, 560, 388, 568)(382, 562, 386, 566)(391, 571, 401, 581)(392, 572, 405, 585)(393, 573, 399, 579)(394, 574, 404, 584)(395, 575, 407, 587)(396, 576, 402, 582)(397, 577, 400, 580)(398, 578, 410, 590)(403, 583, 413, 593)(406, 586, 416, 596)(408, 588, 417, 597)(409, 589, 420, 600)(411, 591, 414, 594)(412, 592, 423, 603)(415, 595, 426, 606)(418, 598, 429, 609)(419, 599, 428, 608)(421, 601, 430, 610)(422, 602, 425, 605)(424, 604, 427, 607)(431, 611, 441, 621)(432, 612, 440, 620)(433, 613, 443, 623)(434, 614, 438, 618)(435, 615, 437, 617)(436, 616, 446, 626)(439, 619, 449, 629)(442, 622, 452, 632)(444, 624, 453, 633)(445, 625, 456, 636)(447, 627, 450, 630)(448, 628, 459, 639)(451, 631, 462, 642)(454, 634, 465, 645)(455, 635, 464, 644)(457, 637, 466, 646)(458, 638, 461, 641)(460, 640, 463, 643)(467, 647, 477, 657)(468, 648, 476, 656)(469, 649, 479, 659)(470, 650, 474, 654)(471, 651, 473, 653)(472, 652, 482, 662)(475, 655, 485, 665)(478, 658, 488, 668)(480, 660, 489, 669)(481, 661, 492, 672)(483, 663, 486, 666)(484, 664, 495, 675)(487, 667, 498, 678)(490, 670, 501, 681)(491, 671, 500, 680)(493, 673, 502, 682)(494, 674, 497, 677)(496, 676, 499, 679)(503, 683, 513, 693)(504, 684, 512, 692)(505, 685, 515, 695)(506, 686, 510, 690)(507, 687, 509, 689)(508, 688, 518, 698)(511, 691, 521, 701)(514, 694, 524, 704)(516, 696, 525, 705)(517, 697, 528, 708)(519, 699, 522, 702)(520, 700, 531, 711)(523, 703, 533, 713)(526, 706, 536, 716)(527, 707, 535, 715)(529, 709, 534, 714)(530, 710, 532, 712)(537, 717, 539, 719)(538, 718, 540, 720)
	L = (1, 363)(2, 365)(3, 368)(4, 361)(5, 372)(6, 362)(7, 375)(8, 378)(9, 379)(10, 364)(11, 383)(12, 386)(13, 387)(14, 366)(15, 391)(16, 367)(17, 393)(18, 395)(19, 396)(20, 369)(21, 397)(22, 370)(23, 399)(24, 371)(25, 401)(26, 403)(27, 404)(28, 373)(29, 405)(30, 374)(31, 381)(32, 376)(33, 380)(34, 377)(35, 409)(36, 410)(37, 411)(38, 382)(39, 389)(40, 384)(41, 388)(42, 385)(43, 415)(44, 416)(45, 417)(46, 390)(47, 392)(48, 394)(49, 421)(50, 422)(51, 423)(52, 398)(53, 400)(54, 402)(55, 427)(56, 428)(57, 429)(58, 406)(59, 407)(60, 408)(61, 433)(62, 434)(63, 435)(64, 412)(65, 413)(66, 414)(67, 439)(68, 440)(69, 441)(70, 418)(71, 419)(72, 420)(73, 445)(74, 446)(75, 447)(76, 424)(77, 425)(78, 426)(79, 451)(80, 452)(81, 453)(82, 430)(83, 431)(84, 432)(85, 457)(86, 458)(87, 459)(88, 436)(89, 437)(90, 438)(91, 463)(92, 464)(93, 465)(94, 442)(95, 443)(96, 444)(97, 469)(98, 470)(99, 471)(100, 448)(101, 449)(102, 450)(103, 475)(104, 476)(105, 477)(106, 454)(107, 455)(108, 456)(109, 481)(110, 482)(111, 483)(112, 460)(113, 461)(114, 462)(115, 487)(116, 488)(117, 489)(118, 466)(119, 467)(120, 468)(121, 493)(122, 494)(123, 495)(124, 472)(125, 473)(126, 474)(127, 499)(128, 500)(129, 501)(130, 478)(131, 479)(132, 480)(133, 505)(134, 506)(135, 507)(136, 484)(137, 485)(138, 486)(139, 511)(140, 512)(141, 513)(142, 490)(143, 491)(144, 492)(145, 517)(146, 518)(147, 519)(148, 496)(149, 497)(150, 498)(151, 523)(152, 524)(153, 525)(154, 502)(155, 503)(156, 504)(157, 529)(158, 530)(159, 531)(160, 508)(161, 509)(162, 510)(163, 534)(164, 535)(165, 536)(166, 514)(167, 515)(168, 516)(169, 520)(170, 538)(171, 537)(172, 521)(173, 522)(174, 526)(175, 540)(176, 539)(177, 527)(178, 528)(179, 532)(180, 533)(181, 541)(182, 542)(183, 543)(184, 544)(185, 545)(186, 546)(187, 547)(188, 548)(189, 549)(190, 550)(191, 551)(192, 552)(193, 553)(194, 554)(195, 555)(196, 556)(197, 557)(198, 558)(199, 559)(200, 560)(201, 561)(202, 562)(203, 563)(204, 564)(205, 565)(206, 566)(207, 567)(208, 568)(209, 569)(210, 570)(211, 571)(212, 572)(213, 573)(214, 574)(215, 575)(216, 576)(217, 577)(218, 578)(219, 579)(220, 580)(221, 581)(222, 582)(223, 583)(224, 584)(225, 585)(226, 586)(227, 587)(228, 588)(229, 589)(230, 590)(231, 591)(232, 592)(233, 593)(234, 594)(235, 595)(236, 596)(237, 597)(238, 598)(239, 599)(240, 600)(241, 601)(242, 602)(243, 603)(244, 604)(245, 605)(246, 606)(247, 607)(248, 608)(249, 609)(250, 610)(251, 611)(252, 612)(253, 613)(254, 614)(255, 615)(256, 616)(257, 617)(258, 618)(259, 619)(260, 620)(261, 621)(262, 622)(263, 623)(264, 624)(265, 625)(266, 626)(267, 627)(268, 628)(269, 629)(270, 630)(271, 631)(272, 632)(273, 633)(274, 634)(275, 635)(276, 636)(277, 637)(278, 638)(279, 639)(280, 640)(281, 641)(282, 642)(283, 643)(284, 644)(285, 645)(286, 646)(287, 647)(288, 648)(289, 649)(290, 650)(291, 651)(292, 652)(293, 653)(294, 654)(295, 655)(296, 656)(297, 657)(298, 658)(299, 659)(300, 660)(301, 661)(302, 662)(303, 663)(304, 664)(305, 665)(306, 666)(307, 667)(308, 668)(309, 669)(310, 670)(311, 671)(312, 672)(313, 673)(314, 674)(315, 675)(316, 676)(317, 677)(318, 678)(319, 679)(320, 680)(321, 681)(322, 682)(323, 683)(324, 684)(325, 685)(326, 686)(327, 687)(328, 688)(329, 689)(330, 690)(331, 691)(332, 692)(333, 693)(334, 694)(335, 695)(336, 696)(337, 697)(338, 698)(339, 699)(340, 700)(341, 701)(342, 702)(343, 703)(344, 704)(345, 705)(346, 706)(347, 707)(348, 708)(349, 709)(350, 710)(351, 711)(352, 712)(353, 713)(354, 714)(355, 715)(356, 716)(357, 717)(358, 718)(359, 719)(360, 720)
	local type(s) :: { ( 12, 60 ), ( 12, 60, 12, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.2935
Graph:: simple bipartite
	v = 270 e = 360 f = 36
	degree seq :: [ 2^180, 4^90 ]

E28.2938 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 30})
Quotient :: dipole
Aut^+ = S3 x D30 (small group id <180, 29>)
Aut   = C2 x S3 x D30 (small group id <360, 154>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^2 * Y2)^2, (Y3^-1 * Y2)^6, (Y3^-1 * Y1^-1)^30 ]
Map:: polytopal
	R = (1, 181)(2, 182)(3, 183)(4, 184)(5, 185)(6, 186)(7, 187)(8, 188)(9, 189)(10, 190)(11, 191)(12, 192)(13, 193)(14, 194)(15, 195)(16, 196)(17, 197)(18, 198)(19, 199)(20, 200)(21, 201)(22, 202)(23, 203)(24, 204)(25, 205)(26, 206)(27, 207)(28, 208)(29, 209)(30, 210)(31, 211)(32, 212)(33, 213)(34, 214)(35, 215)(36, 216)(37, 217)(38, 218)(39, 219)(40, 220)(41, 221)(42, 222)(43, 223)(44, 224)(45, 225)(46, 226)(47, 227)(48, 228)(49, 229)(50, 230)(51, 231)(52, 232)(53, 233)(54, 234)(55, 235)(56, 236)(57, 237)(58, 238)(59, 239)(60, 240)(61, 241)(62, 242)(63, 243)(64, 244)(65, 245)(66, 246)(67, 247)(68, 248)(69, 249)(70, 250)(71, 251)(72, 252)(73, 253)(74, 254)(75, 255)(76, 256)(77, 257)(78, 258)(79, 259)(80, 260)(81, 261)(82, 262)(83, 263)(84, 264)(85, 265)(86, 266)(87, 267)(88, 268)(89, 269)(90, 270)(91, 271)(92, 272)(93, 273)(94, 274)(95, 275)(96, 276)(97, 277)(98, 278)(99, 279)(100, 280)(101, 281)(102, 282)(103, 283)(104, 284)(105, 285)(106, 286)(107, 287)(108, 288)(109, 289)(110, 290)(111, 291)(112, 292)(113, 293)(114, 294)(115, 295)(116, 296)(117, 297)(118, 298)(119, 299)(120, 300)(121, 301)(122, 302)(123, 303)(124, 304)(125, 305)(126, 306)(127, 307)(128, 308)(129, 309)(130, 310)(131, 311)(132, 312)(133, 313)(134, 314)(135, 315)(136, 316)(137, 317)(138, 318)(139, 319)(140, 320)(141, 321)(142, 322)(143, 323)(144, 324)(145, 325)(146, 326)(147, 327)(148, 328)(149, 329)(150, 330)(151, 331)(152, 332)(153, 333)(154, 334)(155, 335)(156, 336)(157, 337)(158, 338)(159, 339)(160, 340)(161, 341)(162, 342)(163, 343)(164, 344)(165, 345)(166, 346)(167, 347)(168, 348)(169, 349)(170, 350)(171, 351)(172, 352)(173, 353)(174, 354)(175, 355)(176, 356)(177, 357)(178, 358)(179, 359)(180, 360)(361, 541, 362, 542)(363, 543, 367, 547)(364, 544, 369, 549)(365, 545, 371, 551)(366, 546, 373, 553)(368, 548, 374, 554)(370, 550, 372, 552)(375, 555, 385, 565)(376, 556, 386, 566)(377, 557, 387, 567)(378, 558, 389, 569)(379, 559, 390, 570)(380, 560, 392, 572)(381, 561, 393, 573)(382, 562, 394, 574)(383, 563, 396, 576)(384, 564, 397, 577)(388, 568, 398, 578)(391, 571, 395, 575)(399, 579, 408, 588)(400, 580, 407, 587)(401, 581, 412, 592)(402, 582, 415, 595)(403, 583, 416, 596)(404, 584, 409, 589)(405, 585, 418, 598)(406, 586, 419, 599)(410, 590, 421, 601)(411, 591, 422, 602)(413, 593, 424, 604)(414, 594, 425, 605)(417, 597, 426, 606)(420, 600, 423, 603)(427, 607, 436, 616)(428, 608, 439, 619)(429, 609, 440, 620)(430, 610, 433, 613)(431, 611, 442, 622)(432, 612, 443, 623)(434, 614, 445, 625)(435, 615, 446, 626)(437, 617, 448, 628)(438, 618, 449, 629)(441, 621, 450, 630)(444, 624, 447, 627)(451, 631, 460, 640)(452, 632, 463, 643)(453, 633, 464, 644)(454, 634, 457, 637)(455, 635, 466, 646)(456, 636, 467, 647)(458, 638, 469, 649)(459, 639, 470, 650)(461, 641, 472, 652)(462, 642, 473, 653)(465, 645, 474, 654)(468, 648, 471, 651)(475, 655, 484, 664)(476, 656, 487, 667)(477, 657, 488, 668)(478, 658, 481, 661)(479, 659, 490, 670)(480, 660, 491, 671)(482, 662, 493, 673)(483, 663, 494, 674)(485, 665, 496, 676)(486, 666, 497, 677)(489, 669, 498, 678)(492, 672, 495, 675)(499, 679, 508, 688)(500, 680, 511, 691)(501, 681, 512, 692)(502, 682, 505, 685)(503, 683, 514, 694)(504, 684, 515, 695)(506, 686, 517, 697)(507, 687, 518, 698)(509, 689, 520, 700)(510, 690, 521, 701)(513, 693, 522, 702)(516, 696, 519, 699)(523, 703, 531, 711)(524, 704, 533, 713)(525, 705, 534, 714)(526, 706, 528, 708)(527, 707, 535, 715)(529, 709, 536, 716)(530, 710, 537, 717)(532, 712, 538, 718)(539, 719, 540, 720)
	L = (1, 363)(2, 365)(3, 368)(4, 361)(5, 372)(6, 362)(7, 375)(8, 377)(9, 378)(10, 364)(11, 380)(12, 382)(13, 383)(14, 366)(15, 369)(16, 367)(17, 388)(18, 390)(19, 370)(20, 373)(21, 371)(22, 395)(23, 397)(24, 374)(25, 399)(26, 401)(27, 376)(28, 403)(29, 400)(30, 405)(31, 379)(32, 407)(33, 409)(34, 381)(35, 411)(36, 408)(37, 413)(38, 384)(39, 386)(40, 385)(41, 415)(42, 387)(43, 417)(44, 389)(45, 419)(46, 391)(47, 393)(48, 392)(49, 421)(50, 394)(51, 423)(52, 396)(53, 425)(54, 398)(55, 427)(56, 402)(57, 429)(58, 404)(59, 431)(60, 406)(61, 433)(62, 410)(63, 435)(64, 412)(65, 437)(66, 414)(67, 439)(68, 416)(69, 441)(70, 418)(71, 443)(72, 420)(73, 445)(74, 422)(75, 447)(76, 424)(77, 449)(78, 426)(79, 451)(80, 428)(81, 453)(82, 430)(83, 455)(84, 432)(85, 457)(86, 434)(87, 459)(88, 436)(89, 461)(90, 438)(91, 463)(92, 440)(93, 465)(94, 442)(95, 467)(96, 444)(97, 469)(98, 446)(99, 471)(100, 448)(101, 473)(102, 450)(103, 475)(104, 452)(105, 477)(106, 454)(107, 479)(108, 456)(109, 481)(110, 458)(111, 483)(112, 460)(113, 485)(114, 462)(115, 487)(116, 464)(117, 489)(118, 466)(119, 491)(120, 468)(121, 493)(122, 470)(123, 495)(124, 472)(125, 497)(126, 474)(127, 499)(128, 476)(129, 501)(130, 478)(131, 503)(132, 480)(133, 505)(134, 482)(135, 507)(136, 484)(137, 509)(138, 486)(139, 511)(140, 488)(141, 513)(142, 490)(143, 515)(144, 492)(145, 517)(146, 494)(147, 519)(148, 496)(149, 521)(150, 498)(151, 523)(152, 500)(153, 525)(154, 502)(155, 527)(156, 504)(157, 528)(158, 506)(159, 530)(160, 508)(161, 532)(162, 510)(163, 533)(164, 512)(165, 516)(166, 514)(167, 534)(168, 536)(169, 518)(170, 522)(171, 520)(172, 537)(173, 539)(174, 524)(175, 526)(176, 540)(177, 529)(178, 531)(179, 535)(180, 538)(181, 541)(182, 542)(183, 543)(184, 544)(185, 545)(186, 546)(187, 547)(188, 548)(189, 549)(190, 550)(191, 551)(192, 552)(193, 553)(194, 554)(195, 555)(196, 556)(197, 557)(198, 558)(199, 559)(200, 560)(201, 561)(202, 562)(203, 563)(204, 564)(205, 565)(206, 566)(207, 567)(208, 568)(209, 569)(210, 570)(211, 571)(212, 572)(213, 573)(214, 574)(215, 575)(216, 576)(217, 577)(218, 578)(219, 579)(220, 580)(221, 581)(222, 582)(223, 583)(224, 584)(225, 585)(226, 586)(227, 587)(228, 588)(229, 589)(230, 590)(231, 591)(232, 592)(233, 593)(234, 594)(235, 595)(236, 596)(237, 597)(238, 598)(239, 599)(240, 600)(241, 601)(242, 602)(243, 603)(244, 604)(245, 605)(246, 606)(247, 607)(248, 608)(249, 609)(250, 610)(251, 611)(252, 612)(253, 613)(254, 614)(255, 615)(256, 616)(257, 617)(258, 618)(259, 619)(260, 620)(261, 621)(262, 622)(263, 623)(264, 624)(265, 625)(266, 626)(267, 627)(268, 628)(269, 629)(270, 630)(271, 631)(272, 632)(273, 633)(274, 634)(275, 635)(276, 636)(277, 637)(278, 638)(279, 639)(280, 640)(281, 641)(282, 642)(283, 643)(284, 644)(285, 645)(286, 646)(287, 647)(288, 648)(289, 649)(290, 650)(291, 651)(292, 652)(293, 653)(294, 654)(295, 655)(296, 656)(297, 657)(298, 658)(299, 659)(300, 660)(301, 661)(302, 662)(303, 663)(304, 664)(305, 665)(306, 666)(307, 667)(308, 668)(309, 669)(310, 670)(311, 671)(312, 672)(313, 673)(314, 674)(315, 675)(316, 676)(317, 677)(318, 678)(319, 679)(320, 680)(321, 681)(322, 682)(323, 683)(324, 684)(325, 685)(326, 686)(327, 687)(328, 688)(329, 689)(330, 690)(331, 691)(332, 692)(333, 693)(334, 694)(335, 695)(336, 696)(337, 697)(338, 698)(339, 699)(340, 700)(341, 701)(342, 702)(343, 703)(344, 704)(345, 705)(346, 706)(347, 707)(348, 708)(349, 709)(350, 710)(351, 711)(352, 712)(353, 713)(354, 714)(355, 715)(356, 716)(357, 717)(358, 718)(359, 719)(360, 720)
	local type(s) :: { ( 12, 60 ), ( 12, 60, 12, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.2936
Graph:: simple bipartite
	v = 270 e = 360 f = 36
	degree seq :: [ 2^180, 4^90 ]

E28.2939 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 30})
Quotient :: dipole
Aut^+ = C6 x D30 (small group id <180, 34>)
Aut   = C2 x S3 x D30 (small group id <360, 154>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y3^-2 * Y1 * Y3, (Y1, Y3^-1, Y1^-1), Y1^-1 * Y3 * Y1^-3 * Y3^-1 * Y1^-2, (Y3^-1 * Y1^-1)^6, Y1^30 ]
Map:: polytopal
	R = (1, 181, 2, 182, 5, 185, 11, 191, 23, 203, 39, 219, 53, 233, 65, 245, 77, 257, 89, 269, 101, 281, 113, 293, 125, 305, 137, 317, 149, 329, 161, 341, 160, 340, 148, 328, 136, 316, 124, 304, 112, 292, 100, 280, 88, 268, 76, 256, 64, 244, 52, 232, 38, 218, 22, 202, 10, 190, 4, 184)(3, 183, 7, 187, 15, 195, 31, 211, 47, 227, 59, 239, 71, 251, 83, 263, 95, 275, 107, 287, 119, 299, 131, 311, 143, 323, 155, 335, 167, 347, 172, 352, 165, 345, 151, 331, 138, 318, 129, 309, 115, 295, 102, 282, 93, 273, 79, 259, 66, 246, 57, 237, 41, 221, 24, 204, 18, 198, 8, 188)(6, 186, 13, 193, 27, 207, 21, 201, 37, 217, 51, 231, 63, 243, 75, 255, 87, 267, 99, 279, 111, 291, 123, 303, 135, 315, 147, 327, 159, 339, 171, 351, 175, 355, 163, 343, 150, 330, 141, 321, 127, 307, 114, 294, 105, 285, 91, 271, 78, 258, 69, 249, 55, 235, 40, 220, 30, 210, 14, 194)(9, 189, 19, 199, 36, 216, 50, 230, 62, 242, 74, 254, 86, 266, 98, 278, 110, 290, 122, 302, 134, 314, 146, 326, 158, 338, 170, 350, 173, 353, 162, 342, 153, 333, 139, 319, 126, 306, 117, 297, 103, 283, 90, 270, 81, 261, 67, 247, 54, 234, 44, 224, 26, 206, 12, 192, 25, 205, 20, 200)(16, 196, 28, 208, 42, 222, 35, 215, 46, 226, 58, 238, 70, 250, 82, 262, 94, 274, 106, 286, 118, 298, 130, 310, 142, 322, 154, 334, 166, 346, 176, 356, 180, 360, 178, 358, 168, 348, 157, 337, 145, 325, 132, 312, 121, 301, 109, 289, 96, 276, 85, 265, 73, 253, 60, 240, 49, 229, 33, 213)(17, 197, 29, 209, 43, 223, 56, 236, 68, 248, 80, 260, 92, 272, 104, 284, 116, 296, 128, 308, 140, 320, 152, 332, 164, 344, 174, 354, 179, 359, 177, 357, 169, 349, 156, 336, 144, 324, 133, 313, 120, 300, 108, 288, 97, 277, 84, 264, 72, 252, 61, 241, 48, 228, 32, 212, 45, 225, 34, 214)(361, 541)(362, 542)(363, 543)(364, 544)(365, 545)(366, 546)(367, 547)(368, 548)(369, 549)(370, 550)(371, 551)(372, 552)(373, 553)(374, 554)(375, 555)(376, 556)(377, 557)(378, 558)(379, 559)(380, 560)(381, 561)(382, 562)(383, 563)(384, 564)(385, 565)(386, 566)(387, 567)(388, 568)(389, 569)(390, 570)(391, 571)(392, 572)(393, 573)(394, 574)(395, 575)(396, 576)(397, 577)(398, 578)(399, 579)(400, 580)(401, 581)(402, 582)(403, 583)(404, 584)(405, 585)(406, 586)(407, 587)(408, 588)(409, 589)(410, 590)(411, 591)(412, 592)(413, 593)(414, 594)(415, 595)(416, 596)(417, 597)(418, 598)(419, 599)(420, 600)(421, 601)(422, 602)(423, 603)(424, 604)(425, 605)(426, 606)(427, 607)(428, 608)(429, 609)(430, 610)(431, 611)(432, 612)(433, 613)(434, 614)(435, 615)(436, 616)(437, 617)(438, 618)(439, 619)(440, 620)(441, 621)(442, 622)(443, 623)(444, 624)(445, 625)(446, 626)(447, 627)(448, 628)(449, 629)(450, 630)(451, 631)(452, 632)(453, 633)(454, 634)(455, 635)(456, 636)(457, 637)(458, 638)(459, 639)(460, 640)(461, 641)(462, 642)(463, 643)(464, 644)(465, 645)(466, 646)(467, 647)(468, 648)(469, 649)(470, 650)(471, 651)(472, 652)(473, 653)(474, 654)(475, 655)(476, 656)(477, 657)(478, 658)(479, 659)(480, 660)(481, 661)(482, 662)(483, 663)(484, 664)(485, 665)(486, 666)(487, 667)(488, 668)(489, 669)(490, 670)(491, 671)(492, 672)(493, 673)(494, 674)(495, 675)(496, 676)(497, 677)(498, 678)(499, 679)(500, 680)(501, 681)(502, 682)(503, 683)(504, 684)(505, 685)(506, 686)(507, 687)(508, 688)(509, 689)(510, 690)(511, 691)(512, 692)(513, 693)(514, 694)(515, 695)(516, 696)(517, 697)(518, 698)(519, 699)(520, 700)(521, 701)(522, 702)(523, 703)(524, 704)(525, 705)(526, 706)(527, 707)(528, 708)(529, 709)(530, 710)(531, 711)(532, 712)(533, 713)(534, 714)(535, 715)(536, 716)(537, 717)(538, 718)(539, 719)(540, 720)
	L = (1, 363)(2, 366)(3, 361)(4, 369)(5, 372)(6, 362)(7, 376)(8, 377)(9, 364)(10, 381)(11, 384)(12, 365)(13, 388)(14, 389)(15, 392)(16, 367)(17, 368)(18, 395)(19, 393)(20, 394)(21, 370)(22, 391)(23, 400)(24, 371)(25, 402)(26, 403)(27, 405)(28, 373)(29, 374)(30, 406)(31, 382)(32, 375)(33, 379)(34, 380)(35, 378)(36, 408)(37, 409)(38, 410)(39, 414)(40, 383)(41, 416)(42, 385)(43, 386)(44, 418)(45, 387)(46, 390)(47, 420)(48, 396)(49, 397)(50, 398)(51, 421)(52, 423)(53, 426)(54, 399)(55, 428)(56, 401)(57, 430)(58, 404)(59, 432)(60, 407)(61, 411)(62, 433)(63, 412)(64, 431)(65, 438)(66, 413)(67, 440)(68, 415)(69, 442)(70, 417)(71, 424)(72, 419)(73, 422)(74, 444)(75, 445)(76, 446)(77, 450)(78, 425)(79, 452)(80, 427)(81, 454)(82, 429)(83, 456)(84, 434)(85, 435)(86, 436)(87, 457)(88, 459)(89, 462)(90, 437)(91, 464)(92, 439)(93, 466)(94, 441)(95, 468)(96, 443)(97, 447)(98, 469)(99, 448)(100, 467)(101, 474)(102, 449)(103, 476)(104, 451)(105, 478)(106, 453)(107, 460)(108, 455)(109, 458)(110, 480)(111, 481)(112, 482)(113, 486)(114, 461)(115, 488)(116, 463)(117, 490)(118, 465)(119, 492)(120, 470)(121, 471)(122, 472)(123, 493)(124, 495)(125, 498)(126, 473)(127, 500)(128, 475)(129, 502)(130, 477)(131, 504)(132, 479)(133, 483)(134, 505)(135, 484)(136, 503)(137, 510)(138, 485)(139, 512)(140, 487)(141, 514)(142, 489)(143, 496)(144, 491)(145, 494)(146, 516)(147, 517)(148, 518)(149, 522)(150, 497)(151, 524)(152, 499)(153, 526)(154, 501)(155, 528)(156, 506)(157, 507)(158, 508)(159, 529)(160, 531)(161, 532)(162, 509)(163, 534)(164, 511)(165, 536)(166, 513)(167, 537)(168, 515)(169, 519)(170, 538)(171, 520)(172, 521)(173, 539)(174, 523)(175, 540)(176, 525)(177, 527)(178, 530)(179, 533)(180, 535)(181, 541)(182, 542)(183, 543)(184, 544)(185, 545)(186, 546)(187, 547)(188, 548)(189, 549)(190, 550)(191, 551)(192, 552)(193, 553)(194, 554)(195, 555)(196, 556)(197, 557)(198, 558)(199, 559)(200, 560)(201, 561)(202, 562)(203, 563)(204, 564)(205, 565)(206, 566)(207, 567)(208, 568)(209, 569)(210, 570)(211, 571)(212, 572)(213, 573)(214, 574)(215, 575)(216, 576)(217, 577)(218, 578)(219, 579)(220, 580)(221, 581)(222, 582)(223, 583)(224, 584)(225, 585)(226, 586)(227, 587)(228, 588)(229, 589)(230, 590)(231, 591)(232, 592)(233, 593)(234, 594)(235, 595)(236, 596)(237, 597)(238, 598)(239, 599)(240, 600)(241, 601)(242, 602)(243, 603)(244, 604)(245, 605)(246, 606)(247, 607)(248, 608)(249, 609)(250, 610)(251, 611)(252, 612)(253, 613)(254, 614)(255, 615)(256, 616)(257, 617)(258, 618)(259, 619)(260, 620)(261, 621)(262, 622)(263, 623)(264, 624)(265, 625)(266, 626)(267, 627)(268, 628)(269, 629)(270, 630)(271, 631)(272, 632)(273, 633)(274, 634)(275, 635)(276, 636)(277, 637)(278, 638)(279, 639)(280, 640)(281, 641)(282, 642)(283, 643)(284, 644)(285, 645)(286, 646)(287, 647)(288, 648)(289, 649)(290, 650)(291, 651)(292, 652)(293, 653)(294, 654)(295, 655)(296, 656)(297, 657)(298, 658)(299, 659)(300, 660)(301, 661)(302, 662)(303, 663)(304, 664)(305, 665)(306, 666)(307, 667)(308, 668)(309, 669)(310, 670)(311, 671)(312, 672)(313, 673)(314, 674)(315, 675)(316, 676)(317, 677)(318, 678)(319, 679)(320, 680)(321, 681)(322, 682)(323, 683)(324, 684)(325, 685)(326, 686)(327, 687)(328, 688)(329, 689)(330, 690)(331, 691)(332, 692)(333, 693)(334, 694)(335, 695)(336, 696)(337, 697)(338, 698)(339, 699)(340, 700)(341, 701)(342, 702)(343, 703)(344, 704)(345, 705)(346, 706)(347, 707)(348, 708)(349, 709)(350, 710)(351, 711)(352, 712)(353, 713)(354, 714)(355, 715)(356, 716)(357, 717)(358, 718)(359, 719)(360, 720)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2933
Graph:: simple bipartite
	v = 186 e = 360 f = 120
	degree seq :: [ 2^180, 60^6 ]

E28.2940 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 30})
Quotient :: dipole
Aut^+ = S3 x D30 (small group id <180, 29>)
Aut   = C2 x S3 x D30 (small group id <360, 154>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y1^-2 * Y3 * Y1^-2 * Y3^-1, (Y3^-1 * Y1)^6, Y1^30 ]
Map:: polytopal
	R = (1, 181, 2, 182, 5, 185, 11, 191, 20, 200, 32, 212, 47, 227, 61, 241, 73, 253, 85, 265, 97, 277, 109, 289, 121, 301, 133, 313, 145, 325, 157, 337, 156, 336, 144, 324, 132, 312, 120, 300, 108, 288, 96, 276, 84, 264, 72, 252, 60, 240, 46, 226, 31, 211, 19, 199, 10, 190, 4, 184)(3, 183, 7, 187, 15, 195, 25, 205, 39, 219, 55, 235, 67, 247, 79, 259, 91, 271, 103, 283, 115, 295, 127, 307, 139, 319, 151, 331, 163, 343, 169, 349, 158, 338, 147, 327, 134, 314, 123, 303, 110, 290, 99, 279, 86, 266, 75, 255, 62, 242, 49, 229, 33, 213, 22, 202, 12, 192, 8, 188)(6, 186, 13, 193, 9, 189, 18, 198, 29, 209, 44, 224, 58, 238, 70, 250, 82, 262, 94, 274, 106, 286, 118, 298, 130, 310, 142, 322, 154, 334, 166, 346, 168, 348, 159, 339, 146, 326, 135, 315, 122, 302, 111, 291, 98, 278, 87, 267, 74, 254, 63, 243, 48, 228, 34, 214, 21, 201, 14, 194)(16, 196, 26, 206, 17, 197, 28, 208, 35, 215, 51, 231, 64, 244, 77, 257, 88, 268, 101, 281, 112, 292, 125, 305, 136, 316, 149, 329, 160, 340, 171, 351, 176, 356, 173, 353, 164, 344, 152, 332, 140, 320, 128, 308, 116, 296, 104, 284, 92, 272, 80, 260, 68, 248, 56, 236, 40, 220, 27, 207)(23, 203, 36, 216, 24, 204, 38, 218, 50, 230, 65, 245, 76, 256, 89, 269, 100, 280, 113, 293, 124, 304, 137, 317, 148, 328, 161, 341, 170, 350, 177, 357, 175, 355, 167, 347, 155, 335, 143, 323, 131, 311, 119, 299, 107, 287, 95, 275, 83, 263, 71, 251, 59, 239, 45, 225, 30, 210, 37, 217)(41, 221, 53, 233, 42, 222, 57, 237, 69, 249, 81, 261, 93, 273, 105, 285, 117, 297, 129, 309, 141, 321, 153, 333, 165, 345, 174, 354, 179, 359, 180, 360, 178, 358, 172, 352, 162, 342, 150, 330, 138, 318, 126, 306, 114, 294, 102, 282, 90, 270, 78, 258, 66, 246, 54, 234, 43, 223, 52, 232)(361, 541)(362, 542)(363, 543)(364, 544)(365, 545)(366, 546)(367, 547)(368, 548)(369, 549)(370, 550)(371, 551)(372, 552)(373, 553)(374, 554)(375, 555)(376, 556)(377, 557)(378, 558)(379, 559)(380, 560)(381, 561)(382, 562)(383, 563)(384, 564)(385, 565)(386, 566)(387, 567)(388, 568)(389, 569)(390, 570)(391, 571)(392, 572)(393, 573)(394, 574)(395, 575)(396, 576)(397, 577)(398, 578)(399, 579)(400, 580)(401, 581)(402, 582)(403, 583)(404, 584)(405, 585)(406, 586)(407, 587)(408, 588)(409, 589)(410, 590)(411, 591)(412, 592)(413, 593)(414, 594)(415, 595)(416, 596)(417, 597)(418, 598)(419, 599)(420, 600)(421, 601)(422, 602)(423, 603)(424, 604)(425, 605)(426, 606)(427, 607)(428, 608)(429, 609)(430, 610)(431, 611)(432, 612)(433, 613)(434, 614)(435, 615)(436, 616)(437, 617)(438, 618)(439, 619)(440, 620)(441, 621)(442, 622)(443, 623)(444, 624)(445, 625)(446, 626)(447, 627)(448, 628)(449, 629)(450, 630)(451, 631)(452, 632)(453, 633)(454, 634)(455, 635)(456, 636)(457, 637)(458, 638)(459, 639)(460, 640)(461, 641)(462, 642)(463, 643)(464, 644)(465, 645)(466, 646)(467, 647)(468, 648)(469, 649)(470, 650)(471, 651)(472, 652)(473, 653)(474, 654)(475, 655)(476, 656)(477, 657)(478, 658)(479, 659)(480, 660)(481, 661)(482, 662)(483, 663)(484, 664)(485, 665)(486, 666)(487, 667)(488, 668)(489, 669)(490, 670)(491, 671)(492, 672)(493, 673)(494, 674)(495, 675)(496, 676)(497, 677)(498, 678)(499, 679)(500, 680)(501, 681)(502, 682)(503, 683)(504, 684)(505, 685)(506, 686)(507, 687)(508, 688)(509, 689)(510, 690)(511, 691)(512, 692)(513, 693)(514, 694)(515, 695)(516, 696)(517, 697)(518, 698)(519, 699)(520, 700)(521, 701)(522, 702)(523, 703)(524, 704)(525, 705)(526, 706)(527, 707)(528, 708)(529, 709)(530, 710)(531, 711)(532, 712)(533, 713)(534, 714)(535, 715)(536, 716)(537, 717)(538, 718)(539, 719)(540, 720)
	L = (1, 363)(2, 366)(3, 361)(4, 369)(5, 372)(6, 362)(7, 376)(8, 377)(9, 364)(10, 375)(11, 381)(12, 365)(13, 383)(14, 384)(15, 370)(16, 367)(17, 368)(18, 390)(19, 389)(20, 393)(21, 371)(22, 395)(23, 373)(24, 374)(25, 400)(26, 401)(27, 402)(28, 403)(29, 379)(30, 378)(31, 399)(32, 408)(33, 380)(34, 410)(35, 382)(36, 412)(37, 413)(38, 414)(39, 391)(40, 385)(41, 386)(42, 387)(43, 388)(44, 419)(45, 417)(46, 418)(47, 422)(48, 392)(49, 424)(50, 394)(51, 426)(52, 396)(53, 397)(54, 398)(55, 428)(56, 429)(57, 405)(58, 406)(59, 404)(60, 427)(61, 434)(62, 407)(63, 436)(64, 409)(65, 438)(66, 411)(67, 420)(68, 415)(69, 416)(70, 443)(71, 441)(72, 442)(73, 446)(74, 421)(75, 448)(76, 423)(77, 450)(78, 425)(79, 452)(80, 453)(81, 431)(82, 432)(83, 430)(84, 451)(85, 458)(86, 433)(87, 460)(88, 435)(89, 462)(90, 437)(91, 444)(92, 439)(93, 440)(94, 467)(95, 465)(96, 466)(97, 470)(98, 445)(99, 472)(100, 447)(101, 474)(102, 449)(103, 476)(104, 477)(105, 455)(106, 456)(107, 454)(108, 475)(109, 482)(110, 457)(111, 484)(112, 459)(113, 486)(114, 461)(115, 468)(116, 463)(117, 464)(118, 491)(119, 489)(120, 490)(121, 494)(122, 469)(123, 496)(124, 471)(125, 498)(126, 473)(127, 500)(128, 501)(129, 479)(130, 480)(131, 478)(132, 499)(133, 506)(134, 481)(135, 508)(136, 483)(137, 510)(138, 485)(139, 492)(140, 487)(141, 488)(142, 515)(143, 513)(144, 514)(145, 518)(146, 493)(147, 520)(148, 495)(149, 522)(150, 497)(151, 524)(152, 525)(153, 503)(154, 504)(155, 502)(156, 523)(157, 528)(158, 505)(159, 530)(160, 507)(161, 532)(162, 509)(163, 516)(164, 511)(165, 512)(166, 535)(167, 534)(168, 517)(169, 536)(170, 519)(171, 538)(172, 521)(173, 539)(174, 527)(175, 526)(176, 529)(177, 540)(178, 531)(179, 533)(180, 537)(181, 541)(182, 542)(183, 543)(184, 544)(185, 545)(186, 546)(187, 547)(188, 548)(189, 549)(190, 550)(191, 551)(192, 552)(193, 553)(194, 554)(195, 555)(196, 556)(197, 557)(198, 558)(199, 559)(200, 560)(201, 561)(202, 562)(203, 563)(204, 564)(205, 565)(206, 566)(207, 567)(208, 568)(209, 569)(210, 570)(211, 571)(212, 572)(213, 573)(214, 574)(215, 575)(216, 576)(217, 577)(218, 578)(219, 579)(220, 580)(221, 581)(222, 582)(223, 583)(224, 584)(225, 585)(226, 586)(227, 587)(228, 588)(229, 589)(230, 590)(231, 591)(232, 592)(233, 593)(234, 594)(235, 595)(236, 596)(237, 597)(238, 598)(239, 599)(240, 600)(241, 601)(242, 602)(243, 603)(244, 604)(245, 605)(246, 606)(247, 607)(248, 608)(249, 609)(250, 610)(251, 611)(252, 612)(253, 613)(254, 614)(255, 615)(256, 616)(257, 617)(258, 618)(259, 619)(260, 620)(261, 621)(262, 622)(263, 623)(264, 624)(265, 625)(266, 626)(267, 627)(268, 628)(269, 629)(270, 630)(271, 631)(272, 632)(273, 633)(274, 634)(275, 635)(276, 636)(277, 637)(278, 638)(279, 639)(280, 640)(281, 641)(282, 642)(283, 643)(284, 644)(285, 645)(286, 646)(287, 647)(288, 648)(289, 649)(290, 650)(291, 651)(292, 652)(293, 653)(294, 654)(295, 655)(296, 656)(297, 657)(298, 658)(299, 659)(300, 660)(301, 661)(302, 662)(303, 663)(304, 664)(305, 665)(306, 666)(307, 667)(308, 668)(309, 669)(310, 670)(311, 671)(312, 672)(313, 673)(314, 674)(315, 675)(316, 676)(317, 677)(318, 678)(319, 679)(320, 680)(321, 681)(322, 682)(323, 683)(324, 684)(325, 685)(326, 686)(327, 687)(328, 688)(329, 689)(330, 690)(331, 691)(332, 692)(333, 693)(334, 694)(335, 695)(336, 696)(337, 697)(338, 698)(339, 699)(340, 700)(341, 701)(342, 702)(343, 703)(344, 704)(345, 705)(346, 706)(347, 707)(348, 708)(349, 709)(350, 710)(351, 711)(352, 712)(353, 713)(354, 714)(355, 715)(356, 716)(357, 717)(358, 718)(359, 719)(360, 720)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2934
Graph:: simple bipartite
	v = 186 e = 360 f = 120
	degree seq :: [ 2^180, 60^6 ]

E28.2941 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 30})
Quotient :: dipole
Aut^+ = C6 x D30 (small group id <180, 34>)
Aut   = C2 x S3 x D30 (small group id <360, 154>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2^3 * Y1)^2, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y3 * Y2^-1)^6, Y2^30 ]
Map::
	R = (1, 181, 2, 182)(3, 183, 7, 187)(4, 184, 9, 189)(5, 185, 11, 191)(6, 186, 13, 193)(8, 188, 17, 197)(10, 190, 21, 201)(12, 192, 25, 205)(14, 194, 29, 209)(15, 195, 23, 203)(16, 196, 27, 207)(18, 198, 30, 210)(19, 199, 24, 204)(20, 200, 28, 208)(22, 202, 26, 206)(31, 211, 41, 221)(32, 212, 45, 225)(33, 213, 39, 219)(34, 214, 44, 224)(35, 215, 47, 227)(36, 216, 42, 222)(37, 217, 40, 220)(38, 218, 50, 230)(43, 223, 53, 233)(46, 226, 56, 236)(48, 228, 57, 237)(49, 229, 60, 240)(51, 231, 54, 234)(52, 232, 63, 243)(55, 235, 66, 246)(58, 238, 69, 249)(59, 239, 68, 248)(61, 241, 70, 250)(62, 242, 65, 245)(64, 244, 67, 247)(71, 251, 81, 261)(72, 252, 80, 260)(73, 253, 83, 263)(74, 254, 78, 258)(75, 255, 77, 257)(76, 256, 86, 266)(79, 259, 89, 269)(82, 262, 92, 272)(84, 264, 93, 273)(85, 265, 96, 276)(87, 267, 90, 270)(88, 268, 99, 279)(91, 271, 102, 282)(94, 274, 105, 285)(95, 275, 104, 284)(97, 277, 106, 286)(98, 278, 101, 281)(100, 280, 103, 283)(107, 287, 117, 297)(108, 288, 116, 296)(109, 289, 119, 299)(110, 290, 114, 294)(111, 291, 113, 293)(112, 292, 122, 302)(115, 295, 125, 305)(118, 298, 128, 308)(120, 300, 129, 309)(121, 301, 132, 312)(123, 303, 126, 306)(124, 304, 135, 315)(127, 307, 138, 318)(130, 310, 141, 321)(131, 311, 140, 320)(133, 313, 142, 322)(134, 314, 137, 317)(136, 316, 139, 319)(143, 323, 153, 333)(144, 324, 152, 332)(145, 325, 155, 335)(146, 326, 150, 330)(147, 327, 149, 329)(148, 328, 158, 338)(151, 331, 161, 341)(154, 334, 164, 344)(156, 336, 165, 345)(157, 337, 168, 348)(159, 339, 162, 342)(160, 340, 171, 351)(163, 343, 173, 353)(166, 346, 176, 356)(167, 347, 175, 355)(169, 349, 174, 354)(170, 350, 172, 352)(177, 357, 179, 359)(178, 358, 180, 360)(361, 541, 363, 543, 368, 548, 378, 558, 395, 575, 409, 589, 421, 601, 433, 613, 445, 625, 457, 637, 469, 649, 481, 661, 493, 673, 505, 685, 517, 697, 529, 709, 520, 700, 508, 688, 496, 676, 484, 664, 472, 652, 460, 640, 448, 628, 436, 616, 424, 604, 412, 592, 398, 578, 382, 562, 370, 550, 364, 544)(362, 542, 365, 545, 372, 552, 386, 566, 403, 583, 415, 595, 427, 607, 439, 619, 451, 631, 463, 643, 475, 655, 487, 667, 499, 679, 511, 691, 523, 703, 534, 714, 526, 706, 514, 694, 502, 682, 490, 670, 478, 658, 466, 646, 454, 634, 442, 622, 430, 610, 418, 598, 406, 586, 390, 570, 374, 554, 366, 546)(367, 547, 375, 555, 391, 571, 381, 561, 397, 577, 411, 591, 423, 603, 435, 615, 447, 627, 459, 639, 471, 651, 483, 663, 495, 675, 507, 687, 519, 699, 531, 711, 537, 717, 527, 707, 515, 695, 503, 683, 491, 671, 479, 659, 467, 647, 455, 635, 443, 623, 431, 611, 419, 599, 407, 587, 392, 572, 376, 556)(369, 549, 379, 559, 396, 576, 410, 590, 422, 602, 434, 614, 446, 626, 458, 638, 470, 650, 482, 662, 494, 674, 506, 686, 518, 698, 530, 710, 538, 718, 528, 708, 516, 696, 504, 684, 492, 672, 480, 660, 468, 648, 456, 636, 444, 624, 432, 612, 420, 600, 408, 588, 394, 574, 377, 557, 393, 573, 380, 560)(371, 551, 383, 563, 399, 579, 389, 569, 405, 585, 417, 597, 429, 609, 441, 621, 453, 633, 465, 645, 477, 657, 489, 669, 501, 681, 513, 693, 525, 705, 536, 716, 539, 719, 532, 712, 521, 701, 509, 689, 497, 677, 485, 665, 473, 653, 461, 641, 449, 629, 437, 617, 425, 605, 413, 593, 400, 580, 384, 564)(373, 553, 387, 567, 404, 584, 416, 596, 428, 608, 440, 620, 452, 632, 464, 644, 476, 656, 488, 668, 500, 680, 512, 692, 524, 704, 535, 715, 540, 720, 533, 713, 522, 702, 510, 690, 498, 678, 486, 666, 474, 654, 462, 642, 450, 630, 438, 618, 426, 606, 414, 594, 402, 582, 385, 565, 401, 581, 388, 568)
	L = (1, 362)(2, 361)(3, 367)(4, 369)(5, 371)(6, 373)(7, 363)(8, 377)(9, 364)(10, 381)(11, 365)(12, 385)(13, 366)(14, 389)(15, 383)(16, 387)(17, 368)(18, 390)(19, 384)(20, 388)(21, 370)(22, 386)(23, 375)(24, 379)(25, 372)(26, 382)(27, 376)(28, 380)(29, 374)(30, 378)(31, 401)(32, 405)(33, 399)(34, 404)(35, 407)(36, 402)(37, 400)(38, 410)(39, 393)(40, 397)(41, 391)(42, 396)(43, 413)(44, 394)(45, 392)(46, 416)(47, 395)(48, 417)(49, 420)(50, 398)(51, 414)(52, 423)(53, 403)(54, 411)(55, 426)(56, 406)(57, 408)(58, 429)(59, 428)(60, 409)(61, 430)(62, 425)(63, 412)(64, 427)(65, 422)(66, 415)(67, 424)(68, 419)(69, 418)(70, 421)(71, 441)(72, 440)(73, 443)(74, 438)(75, 437)(76, 446)(77, 435)(78, 434)(79, 449)(80, 432)(81, 431)(82, 452)(83, 433)(84, 453)(85, 456)(86, 436)(87, 450)(88, 459)(89, 439)(90, 447)(91, 462)(92, 442)(93, 444)(94, 465)(95, 464)(96, 445)(97, 466)(98, 461)(99, 448)(100, 463)(101, 458)(102, 451)(103, 460)(104, 455)(105, 454)(106, 457)(107, 477)(108, 476)(109, 479)(110, 474)(111, 473)(112, 482)(113, 471)(114, 470)(115, 485)(116, 468)(117, 467)(118, 488)(119, 469)(120, 489)(121, 492)(122, 472)(123, 486)(124, 495)(125, 475)(126, 483)(127, 498)(128, 478)(129, 480)(130, 501)(131, 500)(132, 481)(133, 502)(134, 497)(135, 484)(136, 499)(137, 494)(138, 487)(139, 496)(140, 491)(141, 490)(142, 493)(143, 513)(144, 512)(145, 515)(146, 510)(147, 509)(148, 518)(149, 507)(150, 506)(151, 521)(152, 504)(153, 503)(154, 524)(155, 505)(156, 525)(157, 528)(158, 508)(159, 522)(160, 531)(161, 511)(162, 519)(163, 533)(164, 514)(165, 516)(166, 536)(167, 535)(168, 517)(169, 534)(170, 532)(171, 520)(172, 530)(173, 523)(174, 529)(175, 527)(176, 526)(177, 539)(178, 540)(179, 537)(180, 538)(181, 541)(182, 542)(183, 543)(184, 544)(185, 545)(186, 546)(187, 547)(188, 548)(189, 549)(190, 550)(191, 551)(192, 552)(193, 553)(194, 554)(195, 555)(196, 556)(197, 557)(198, 558)(199, 559)(200, 560)(201, 561)(202, 562)(203, 563)(204, 564)(205, 565)(206, 566)(207, 567)(208, 568)(209, 569)(210, 570)(211, 571)(212, 572)(213, 573)(214, 574)(215, 575)(216, 576)(217, 577)(218, 578)(219, 579)(220, 580)(221, 581)(222, 582)(223, 583)(224, 584)(225, 585)(226, 586)(227, 587)(228, 588)(229, 589)(230, 590)(231, 591)(232, 592)(233, 593)(234, 594)(235, 595)(236, 596)(237, 597)(238, 598)(239, 599)(240, 600)(241, 601)(242, 602)(243, 603)(244, 604)(245, 605)(246, 606)(247, 607)(248, 608)(249, 609)(250, 610)(251, 611)(252, 612)(253, 613)(254, 614)(255, 615)(256, 616)(257, 617)(258, 618)(259, 619)(260, 620)(261, 621)(262, 622)(263, 623)(264, 624)(265, 625)(266, 626)(267, 627)(268, 628)(269, 629)(270, 630)(271, 631)(272, 632)(273, 633)(274, 634)(275, 635)(276, 636)(277, 637)(278, 638)(279, 639)(280, 640)(281, 641)(282, 642)(283, 643)(284, 644)(285, 645)(286, 646)(287, 647)(288, 648)(289, 649)(290, 650)(291, 651)(292, 652)(293, 653)(294, 654)(295, 655)(296, 656)(297, 657)(298, 658)(299, 659)(300, 660)(301, 661)(302, 662)(303, 663)(304, 664)(305, 665)(306, 666)(307, 667)(308, 668)(309, 669)(310, 670)(311, 671)(312, 672)(313, 673)(314, 674)(315, 675)(316, 676)(317, 677)(318, 678)(319, 679)(320, 680)(321, 681)(322, 682)(323, 683)(324, 684)(325, 685)(326, 686)(327, 687)(328, 688)(329, 689)(330, 690)(331, 691)(332, 692)(333, 693)(334, 694)(335, 695)(336, 696)(337, 697)(338, 698)(339, 699)(340, 700)(341, 701)(342, 702)(343, 703)(344, 704)(345, 705)(346, 706)(347, 707)(348, 708)(349, 709)(350, 710)(351, 711)(352, 712)(353, 713)(354, 714)(355, 715)(356, 716)(357, 717)(358, 718)(359, 719)(360, 720)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2943
Graph:: bipartite
	v = 96 e = 360 f = 210
	degree seq :: [ 4^90, 60^6 ]

E28.2942 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 30})
Quotient :: dipole
Aut^+ = S3 x D30 (small group id <180, 29>)
Aut   = C2 x S3 x D30 (small group id <360, 154>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2^2 * Y1)^2, (Y3 * Y2^-1)^6, Y2^30 ]
Map::
	R = (1, 181, 2, 182)(3, 183, 7, 187)(4, 184, 9, 189)(5, 185, 11, 191)(6, 186, 13, 193)(8, 188, 14, 194)(10, 190, 12, 192)(15, 195, 25, 205)(16, 196, 26, 206)(17, 197, 27, 207)(18, 198, 29, 209)(19, 199, 30, 210)(20, 200, 32, 212)(21, 201, 33, 213)(22, 202, 34, 214)(23, 203, 36, 216)(24, 204, 37, 217)(28, 208, 38, 218)(31, 211, 35, 215)(39, 219, 48, 228)(40, 220, 47, 227)(41, 221, 52, 232)(42, 222, 55, 235)(43, 223, 56, 236)(44, 224, 49, 229)(45, 225, 58, 238)(46, 226, 59, 239)(50, 230, 61, 241)(51, 231, 62, 242)(53, 233, 64, 244)(54, 234, 65, 245)(57, 237, 66, 246)(60, 240, 63, 243)(67, 247, 76, 256)(68, 248, 79, 259)(69, 249, 80, 260)(70, 250, 73, 253)(71, 251, 82, 262)(72, 252, 83, 263)(74, 254, 85, 265)(75, 255, 86, 266)(77, 257, 88, 268)(78, 258, 89, 269)(81, 261, 90, 270)(84, 264, 87, 267)(91, 271, 100, 280)(92, 272, 103, 283)(93, 273, 104, 284)(94, 274, 97, 277)(95, 275, 106, 286)(96, 276, 107, 287)(98, 278, 109, 289)(99, 279, 110, 290)(101, 281, 112, 292)(102, 282, 113, 293)(105, 285, 114, 294)(108, 288, 111, 291)(115, 295, 124, 304)(116, 296, 127, 307)(117, 297, 128, 308)(118, 298, 121, 301)(119, 299, 130, 310)(120, 300, 131, 311)(122, 302, 133, 313)(123, 303, 134, 314)(125, 305, 136, 316)(126, 306, 137, 317)(129, 309, 138, 318)(132, 312, 135, 315)(139, 319, 148, 328)(140, 320, 151, 331)(141, 321, 152, 332)(142, 322, 145, 325)(143, 323, 154, 334)(144, 324, 155, 335)(146, 326, 157, 337)(147, 327, 158, 338)(149, 329, 160, 340)(150, 330, 161, 341)(153, 333, 162, 342)(156, 336, 159, 339)(163, 343, 171, 351)(164, 344, 173, 353)(165, 345, 174, 354)(166, 346, 168, 348)(167, 347, 175, 355)(169, 349, 176, 356)(170, 350, 177, 357)(172, 352, 178, 358)(179, 359, 180, 360)(361, 541, 363, 543, 368, 548, 377, 557, 388, 568, 403, 583, 417, 597, 429, 609, 441, 621, 453, 633, 465, 645, 477, 657, 489, 669, 501, 681, 513, 693, 525, 705, 516, 696, 504, 684, 492, 672, 480, 660, 468, 648, 456, 636, 444, 624, 432, 612, 420, 600, 406, 586, 391, 571, 379, 559, 370, 550, 364, 544)(362, 542, 365, 545, 372, 552, 382, 562, 395, 575, 411, 591, 423, 603, 435, 615, 447, 627, 459, 639, 471, 651, 483, 663, 495, 675, 507, 687, 519, 699, 530, 710, 522, 702, 510, 690, 498, 678, 486, 666, 474, 654, 462, 642, 450, 630, 438, 618, 426, 606, 414, 594, 398, 578, 384, 564, 374, 554, 366, 546)(367, 547, 375, 555, 369, 549, 378, 558, 390, 570, 405, 585, 419, 599, 431, 611, 443, 623, 455, 635, 467, 647, 479, 659, 491, 671, 503, 683, 515, 695, 527, 707, 534, 714, 524, 704, 512, 692, 500, 680, 488, 668, 476, 656, 464, 644, 452, 632, 440, 620, 428, 608, 416, 596, 402, 582, 387, 567, 376, 556)(371, 551, 380, 560, 373, 553, 383, 563, 397, 577, 413, 593, 425, 605, 437, 617, 449, 629, 461, 641, 473, 653, 485, 665, 497, 677, 509, 689, 521, 701, 532, 712, 537, 717, 529, 709, 518, 698, 506, 686, 494, 674, 482, 662, 470, 650, 458, 638, 446, 626, 434, 614, 422, 602, 410, 590, 394, 574, 381, 561)(385, 565, 399, 579, 386, 566, 401, 581, 415, 595, 427, 607, 439, 619, 451, 631, 463, 643, 475, 655, 487, 667, 499, 679, 511, 691, 523, 703, 533, 713, 539, 719, 535, 715, 526, 706, 514, 694, 502, 682, 490, 670, 478, 658, 466, 646, 454, 634, 442, 622, 430, 610, 418, 598, 404, 584, 389, 569, 400, 580)(392, 572, 407, 587, 393, 573, 409, 589, 421, 601, 433, 613, 445, 625, 457, 637, 469, 649, 481, 661, 493, 673, 505, 685, 517, 697, 528, 708, 536, 716, 540, 720, 538, 718, 531, 711, 520, 700, 508, 688, 496, 676, 484, 664, 472, 652, 460, 640, 448, 628, 436, 616, 424, 604, 412, 592, 396, 576, 408, 588)
	L = (1, 362)(2, 361)(3, 367)(4, 369)(5, 371)(6, 373)(7, 363)(8, 374)(9, 364)(10, 372)(11, 365)(12, 370)(13, 366)(14, 368)(15, 385)(16, 386)(17, 387)(18, 389)(19, 390)(20, 392)(21, 393)(22, 394)(23, 396)(24, 397)(25, 375)(26, 376)(27, 377)(28, 398)(29, 378)(30, 379)(31, 395)(32, 380)(33, 381)(34, 382)(35, 391)(36, 383)(37, 384)(38, 388)(39, 408)(40, 407)(41, 412)(42, 415)(43, 416)(44, 409)(45, 418)(46, 419)(47, 400)(48, 399)(49, 404)(50, 421)(51, 422)(52, 401)(53, 424)(54, 425)(55, 402)(56, 403)(57, 426)(58, 405)(59, 406)(60, 423)(61, 410)(62, 411)(63, 420)(64, 413)(65, 414)(66, 417)(67, 436)(68, 439)(69, 440)(70, 433)(71, 442)(72, 443)(73, 430)(74, 445)(75, 446)(76, 427)(77, 448)(78, 449)(79, 428)(80, 429)(81, 450)(82, 431)(83, 432)(84, 447)(85, 434)(86, 435)(87, 444)(88, 437)(89, 438)(90, 441)(91, 460)(92, 463)(93, 464)(94, 457)(95, 466)(96, 467)(97, 454)(98, 469)(99, 470)(100, 451)(101, 472)(102, 473)(103, 452)(104, 453)(105, 474)(106, 455)(107, 456)(108, 471)(109, 458)(110, 459)(111, 468)(112, 461)(113, 462)(114, 465)(115, 484)(116, 487)(117, 488)(118, 481)(119, 490)(120, 491)(121, 478)(122, 493)(123, 494)(124, 475)(125, 496)(126, 497)(127, 476)(128, 477)(129, 498)(130, 479)(131, 480)(132, 495)(133, 482)(134, 483)(135, 492)(136, 485)(137, 486)(138, 489)(139, 508)(140, 511)(141, 512)(142, 505)(143, 514)(144, 515)(145, 502)(146, 517)(147, 518)(148, 499)(149, 520)(150, 521)(151, 500)(152, 501)(153, 522)(154, 503)(155, 504)(156, 519)(157, 506)(158, 507)(159, 516)(160, 509)(161, 510)(162, 513)(163, 531)(164, 533)(165, 534)(166, 528)(167, 535)(168, 526)(169, 536)(170, 537)(171, 523)(172, 538)(173, 524)(174, 525)(175, 527)(176, 529)(177, 530)(178, 532)(179, 540)(180, 539)(181, 541)(182, 542)(183, 543)(184, 544)(185, 545)(186, 546)(187, 547)(188, 548)(189, 549)(190, 550)(191, 551)(192, 552)(193, 553)(194, 554)(195, 555)(196, 556)(197, 557)(198, 558)(199, 559)(200, 560)(201, 561)(202, 562)(203, 563)(204, 564)(205, 565)(206, 566)(207, 567)(208, 568)(209, 569)(210, 570)(211, 571)(212, 572)(213, 573)(214, 574)(215, 575)(216, 576)(217, 577)(218, 578)(219, 579)(220, 580)(221, 581)(222, 582)(223, 583)(224, 584)(225, 585)(226, 586)(227, 587)(228, 588)(229, 589)(230, 590)(231, 591)(232, 592)(233, 593)(234, 594)(235, 595)(236, 596)(237, 597)(238, 598)(239, 599)(240, 600)(241, 601)(242, 602)(243, 603)(244, 604)(245, 605)(246, 606)(247, 607)(248, 608)(249, 609)(250, 610)(251, 611)(252, 612)(253, 613)(254, 614)(255, 615)(256, 616)(257, 617)(258, 618)(259, 619)(260, 620)(261, 621)(262, 622)(263, 623)(264, 624)(265, 625)(266, 626)(267, 627)(268, 628)(269, 629)(270, 630)(271, 631)(272, 632)(273, 633)(274, 634)(275, 635)(276, 636)(277, 637)(278, 638)(279, 639)(280, 640)(281, 641)(282, 642)(283, 643)(284, 644)(285, 645)(286, 646)(287, 647)(288, 648)(289, 649)(290, 650)(291, 651)(292, 652)(293, 653)(294, 654)(295, 655)(296, 656)(297, 657)(298, 658)(299, 659)(300, 660)(301, 661)(302, 662)(303, 663)(304, 664)(305, 665)(306, 666)(307, 667)(308, 668)(309, 669)(310, 670)(311, 671)(312, 672)(313, 673)(314, 674)(315, 675)(316, 676)(317, 677)(318, 678)(319, 679)(320, 680)(321, 681)(322, 682)(323, 683)(324, 684)(325, 685)(326, 686)(327, 687)(328, 688)(329, 689)(330, 690)(331, 691)(332, 692)(333, 693)(334, 694)(335, 695)(336, 696)(337, 697)(338, 698)(339, 699)(340, 700)(341, 701)(342, 702)(343, 703)(344, 704)(345, 705)(346, 706)(347, 707)(348, 708)(349, 709)(350, 710)(351, 711)(352, 712)(353, 713)(354, 714)(355, 715)(356, 716)(357, 717)(358, 718)(359, 719)(360, 720)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2944
Graph:: bipartite
	v = 96 e = 360 f = 210
	degree seq :: [ 4^90, 60^6 ]

E28.2943 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 30})
Quotient :: dipole
Aut^+ = C6 x D30 (small group id <180, 34>)
Aut   = C2 x S3 x D30 (small group id <360, 154>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-2, Y3 * Y1^-1 * Y3 * Y1^3, (Y3^2 * Y1^-1)^2, (Y3 * Y2^-1)^30 ]
Map:: polytopal
	R = (1, 181, 2, 182, 6, 186, 16, 196, 13, 193, 4, 184)(3, 183, 9, 189, 17, 197, 8, 188, 21, 201, 11, 191)(5, 185, 14, 194, 18, 198, 12, 192, 20, 200, 7, 187)(10, 190, 24, 204, 29, 209, 23, 203, 33, 213, 22, 202)(15, 195, 26, 206, 30, 210, 19, 199, 31, 211, 27, 207)(25, 205, 34, 214, 41, 221, 36, 216, 45, 225, 35, 215)(28, 208, 32, 212, 42, 222, 39, 219, 43, 223, 38, 218)(37, 217, 47, 227, 53, 233, 46, 226, 57, 237, 48, 228)(40, 220, 51, 231, 54, 234, 50, 230, 55, 235, 44, 224)(49, 229, 60, 240, 65, 245, 59, 239, 69, 249, 58, 238)(52, 232, 62, 242, 66, 246, 56, 236, 67, 247, 63, 243)(61, 241, 70, 250, 77, 257, 72, 252, 81, 261, 71, 251)(64, 244, 68, 248, 78, 258, 75, 255, 79, 259, 74, 254)(73, 253, 83, 263, 89, 269, 82, 262, 93, 273, 84, 264)(76, 256, 87, 267, 90, 270, 86, 266, 91, 271, 80, 260)(85, 265, 96, 276, 101, 281, 95, 275, 105, 285, 94, 274)(88, 268, 98, 278, 102, 282, 92, 272, 103, 283, 99, 279)(97, 277, 106, 286, 113, 293, 108, 288, 117, 297, 107, 287)(100, 280, 104, 284, 114, 294, 111, 291, 115, 295, 110, 290)(109, 289, 119, 299, 125, 305, 118, 298, 129, 309, 120, 300)(112, 292, 123, 303, 126, 306, 122, 302, 127, 307, 116, 296)(121, 301, 132, 312, 137, 317, 131, 311, 141, 321, 130, 310)(124, 304, 134, 314, 138, 318, 128, 308, 139, 319, 135, 315)(133, 313, 142, 322, 149, 329, 144, 324, 153, 333, 143, 323)(136, 316, 140, 320, 150, 330, 147, 327, 151, 331, 146, 326)(145, 325, 155, 335, 161, 341, 154, 334, 165, 345, 156, 336)(148, 328, 159, 339, 162, 342, 158, 338, 163, 343, 152, 332)(157, 337, 168, 348, 172, 352, 167, 347, 176, 356, 166, 346)(160, 340, 170, 350, 173, 353, 164, 344, 174, 354, 171, 351)(169, 349, 175, 355, 179, 359, 178, 358, 180, 360, 177, 357)(361, 541)(362, 542)(363, 543)(364, 544)(365, 545)(366, 546)(367, 547)(368, 548)(369, 549)(370, 550)(371, 551)(372, 552)(373, 553)(374, 554)(375, 555)(376, 556)(377, 557)(378, 558)(379, 559)(380, 560)(381, 561)(382, 562)(383, 563)(384, 564)(385, 565)(386, 566)(387, 567)(388, 568)(389, 569)(390, 570)(391, 571)(392, 572)(393, 573)(394, 574)(395, 575)(396, 576)(397, 577)(398, 578)(399, 579)(400, 580)(401, 581)(402, 582)(403, 583)(404, 584)(405, 585)(406, 586)(407, 587)(408, 588)(409, 589)(410, 590)(411, 591)(412, 592)(413, 593)(414, 594)(415, 595)(416, 596)(417, 597)(418, 598)(419, 599)(420, 600)(421, 601)(422, 602)(423, 603)(424, 604)(425, 605)(426, 606)(427, 607)(428, 608)(429, 609)(430, 610)(431, 611)(432, 612)(433, 613)(434, 614)(435, 615)(436, 616)(437, 617)(438, 618)(439, 619)(440, 620)(441, 621)(442, 622)(443, 623)(444, 624)(445, 625)(446, 626)(447, 627)(448, 628)(449, 629)(450, 630)(451, 631)(452, 632)(453, 633)(454, 634)(455, 635)(456, 636)(457, 637)(458, 638)(459, 639)(460, 640)(461, 641)(462, 642)(463, 643)(464, 644)(465, 645)(466, 646)(467, 647)(468, 648)(469, 649)(470, 650)(471, 651)(472, 652)(473, 653)(474, 654)(475, 655)(476, 656)(477, 657)(478, 658)(479, 659)(480, 660)(481, 661)(482, 662)(483, 663)(484, 664)(485, 665)(486, 666)(487, 667)(488, 668)(489, 669)(490, 670)(491, 671)(492, 672)(493, 673)(494, 674)(495, 675)(496, 676)(497, 677)(498, 678)(499, 679)(500, 680)(501, 681)(502, 682)(503, 683)(504, 684)(505, 685)(506, 686)(507, 687)(508, 688)(509, 689)(510, 690)(511, 691)(512, 692)(513, 693)(514, 694)(515, 695)(516, 696)(517, 697)(518, 698)(519, 699)(520, 700)(521, 701)(522, 702)(523, 703)(524, 704)(525, 705)(526, 706)(527, 707)(528, 708)(529, 709)(530, 710)(531, 711)(532, 712)(533, 713)(534, 714)(535, 715)(536, 716)(537, 717)(538, 718)(539, 719)(540, 720)
	L = (1, 363)(2, 367)(3, 370)(4, 372)(5, 361)(6, 377)(7, 379)(8, 362)(9, 364)(10, 385)(11, 376)(12, 386)(13, 381)(14, 387)(15, 365)(16, 374)(17, 389)(18, 366)(19, 392)(20, 373)(21, 393)(22, 368)(23, 369)(24, 371)(25, 397)(26, 398)(27, 399)(28, 375)(29, 401)(30, 378)(31, 380)(32, 404)(33, 405)(34, 382)(35, 383)(36, 384)(37, 409)(38, 410)(39, 411)(40, 388)(41, 413)(42, 390)(43, 391)(44, 416)(45, 417)(46, 394)(47, 395)(48, 396)(49, 421)(50, 422)(51, 423)(52, 400)(53, 425)(54, 402)(55, 403)(56, 428)(57, 429)(58, 406)(59, 407)(60, 408)(61, 433)(62, 434)(63, 435)(64, 412)(65, 437)(66, 414)(67, 415)(68, 440)(69, 441)(70, 418)(71, 419)(72, 420)(73, 445)(74, 446)(75, 447)(76, 424)(77, 449)(78, 426)(79, 427)(80, 452)(81, 453)(82, 430)(83, 431)(84, 432)(85, 457)(86, 458)(87, 459)(88, 436)(89, 461)(90, 438)(91, 439)(92, 464)(93, 465)(94, 442)(95, 443)(96, 444)(97, 469)(98, 470)(99, 471)(100, 448)(101, 473)(102, 450)(103, 451)(104, 476)(105, 477)(106, 454)(107, 455)(108, 456)(109, 481)(110, 482)(111, 483)(112, 460)(113, 485)(114, 462)(115, 463)(116, 488)(117, 489)(118, 466)(119, 467)(120, 468)(121, 493)(122, 494)(123, 495)(124, 472)(125, 497)(126, 474)(127, 475)(128, 500)(129, 501)(130, 478)(131, 479)(132, 480)(133, 505)(134, 506)(135, 507)(136, 484)(137, 509)(138, 486)(139, 487)(140, 512)(141, 513)(142, 490)(143, 491)(144, 492)(145, 517)(146, 518)(147, 519)(148, 496)(149, 521)(150, 498)(151, 499)(152, 524)(153, 525)(154, 502)(155, 503)(156, 504)(157, 529)(158, 530)(159, 531)(160, 508)(161, 532)(162, 510)(163, 511)(164, 535)(165, 536)(166, 514)(167, 515)(168, 516)(169, 520)(170, 537)(171, 538)(172, 539)(173, 522)(174, 523)(175, 526)(176, 540)(177, 527)(178, 528)(179, 533)(180, 534)(181, 541)(182, 542)(183, 543)(184, 544)(185, 545)(186, 546)(187, 547)(188, 548)(189, 549)(190, 550)(191, 551)(192, 552)(193, 553)(194, 554)(195, 555)(196, 556)(197, 557)(198, 558)(199, 559)(200, 560)(201, 561)(202, 562)(203, 563)(204, 564)(205, 565)(206, 566)(207, 567)(208, 568)(209, 569)(210, 570)(211, 571)(212, 572)(213, 573)(214, 574)(215, 575)(216, 576)(217, 577)(218, 578)(219, 579)(220, 580)(221, 581)(222, 582)(223, 583)(224, 584)(225, 585)(226, 586)(227, 587)(228, 588)(229, 589)(230, 590)(231, 591)(232, 592)(233, 593)(234, 594)(235, 595)(236, 596)(237, 597)(238, 598)(239, 599)(240, 600)(241, 601)(242, 602)(243, 603)(244, 604)(245, 605)(246, 606)(247, 607)(248, 608)(249, 609)(250, 610)(251, 611)(252, 612)(253, 613)(254, 614)(255, 615)(256, 616)(257, 617)(258, 618)(259, 619)(260, 620)(261, 621)(262, 622)(263, 623)(264, 624)(265, 625)(266, 626)(267, 627)(268, 628)(269, 629)(270, 630)(271, 631)(272, 632)(273, 633)(274, 634)(275, 635)(276, 636)(277, 637)(278, 638)(279, 639)(280, 640)(281, 641)(282, 642)(283, 643)(284, 644)(285, 645)(286, 646)(287, 647)(288, 648)(289, 649)(290, 650)(291, 651)(292, 652)(293, 653)(294, 654)(295, 655)(296, 656)(297, 657)(298, 658)(299, 659)(300, 660)(301, 661)(302, 662)(303, 663)(304, 664)(305, 665)(306, 666)(307, 667)(308, 668)(309, 669)(310, 670)(311, 671)(312, 672)(313, 673)(314, 674)(315, 675)(316, 676)(317, 677)(318, 678)(319, 679)(320, 680)(321, 681)(322, 682)(323, 683)(324, 684)(325, 685)(326, 686)(327, 687)(328, 688)(329, 689)(330, 690)(331, 691)(332, 692)(333, 693)(334, 694)(335, 695)(336, 696)(337, 697)(338, 698)(339, 699)(340, 700)(341, 701)(342, 702)(343, 703)(344, 704)(345, 705)(346, 706)(347, 707)(348, 708)(349, 709)(350, 710)(351, 711)(352, 712)(353, 713)(354, 714)(355, 715)(356, 716)(357, 717)(358, 718)(359, 719)(360, 720)
	local type(s) :: { ( 4, 60 ), ( 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.2941
Graph:: simple bipartite
	v = 210 e = 360 f = 96
	degree seq :: [ 2^180, 12^30 ]

E28.2944 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 30})
Quotient :: dipole
Aut^+ = S3 x D30 (small group id <180, 29>)
Aut   = C2 x S3 x D30 (small group id <360, 154>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (Y3 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y1^6, (Y3 * Y2^-1)^30 ]
Map:: polytopal
	R = (1, 181, 2, 182, 6, 186, 14, 194, 12, 192, 4, 184)(3, 183, 9, 189, 19, 199, 26, 206, 15, 195, 8, 188)(5, 185, 11, 191, 22, 202, 25, 205, 16, 196, 7, 187)(10, 190, 18, 198, 27, 207, 38, 218, 31, 211, 20, 200)(13, 193, 17, 197, 28, 208, 37, 217, 34, 214, 23, 203)(21, 201, 32, 212, 43, 223, 50, 230, 39, 219, 30, 210)(24, 204, 35, 215, 46, 226, 49, 229, 40, 220, 29, 209)(33, 213, 42, 222, 51, 231, 62, 242, 55, 235, 44, 224)(36, 216, 41, 221, 52, 232, 61, 241, 58, 238, 47, 227)(45, 225, 56, 236, 67, 247, 74, 254, 63, 243, 54, 234)(48, 228, 59, 239, 70, 250, 73, 253, 64, 244, 53, 233)(57, 237, 66, 246, 75, 255, 86, 266, 79, 259, 68, 248)(60, 240, 65, 245, 76, 256, 85, 265, 82, 262, 71, 251)(69, 249, 80, 260, 91, 271, 98, 278, 87, 267, 78, 258)(72, 252, 83, 263, 94, 274, 97, 277, 88, 268, 77, 257)(81, 261, 90, 270, 99, 279, 110, 290, 103, 283, 92, 272)(84, 264, 89, 269, 100, 280, 109, 289, 106, 286, 95, 275)(93, 273, 104, 284, 115, 295, 122, 302, 111, 291, 102, 282)(96, 276, 107, 287, 118, 298, 121, 301, 112, 292, 101, 281)(105, 285, 114, 294, 123, 303, 134, 314, 127, 307, 116, 296)(108, 288, 113, 293, 124, 304, 133, 313, 130, 310, 119, 299)(117, 297, 128, 308, 139, 319, 146, 326, 135, 315, 126, 306)(120, 300, 131, 311, 142, 322, 145, 325, 136, 316, 125, 305)(129, 309, 138, 318, 147, 327, 158, 338, 151, 331, 140, 320)(132, 312, 137, 317, 148, 328, 157, 337, 154, 334, 143, 323)(141, 321, 152, 332, 163, 343, 169, 349, 159, 339, 150, 330)(144, 324, 155, 335, 166, 346, 168, 348, 160, 340, 149, 329)(153, 333, 162, 342, 170, 350, 177, 357, 173, 353, 164, 344)(156, 336, 161, 341, 171, 351, 176, 356, 175, 355, 167, 347)(165, 345, 174, 354, 179, 359, 180, 360, 178, 358, 172, 352)(361, 541)(362, 542)(363, 543)(364, 544)(365, 545)(366, 546)(367, 547)(368, 548)(369, 549)(370, 550)(371, 551)(372, 552)(373, 553)(374, 554)(375, 555)(376, 556)(377, 557)(378, 558)(379, 559)(380, 560)(381, 561)(382, 562)(383, 563)(384, 564)(385, 565)(386, 566)(387, 567)(388, 568)(389, 569)(390, 570)(391, 571)(392, 572)(393, 573)(394, 574)(395, 575)(396, 576)(397, 577)(398, 578)(399, 579)(400, 580)(401, 581)(402, 582)(403, 583)(404, 584)(405, 585)(406, 586)(407, 587)(408, 588)(409, 589)(410, 590)(411, 591)(412, 592)(413, 593)(414, 594)(415, 595)(416, 596)(417, 597)(418, 598)(419, 599)(420, 600)(421, 601)(422, 602)(423, 603)(424, 604)(425, 605)(426, 606)(427, 607)(428, 608)(429, 609)(430, 610)(431, 611)(432, 612)(433, 613)(434, 614)(435, 615)(436, 616)(437, 617)(438, 618)(439, 619)(440, 620)(441, 621)(442, 622)(443, 623)(444, 624)(445, 625)(446, 626)(447, 627)(448, 628)(449, 629)(450, 630)(451, 631)(452, 632)(453, 633)(454, 634)(455, 635)(456, 636)(457, 637)(458, 638)(459, 639)(460, 640)(461, 641)(462, 642)(463, 643)(464, 644)(465, 645)(466, 646)(467, 647)(468, 648)(469, 649)(470, 650)(471, 651)(472, 652)(473, 653)(474, 654)(475, 655)(476, 656)(477, 657)(478, 658)(479, 659)(480, 660)(481, 661)(482, 662)(483, 663)(484, 664)(485, 665)(486, 666)(487, 667)(488, 668)(489, 669)(490, 670)(491, 671)(492, 672)(493, 673)(494, 674)(495, 675)(496, 676)(497, 677)(498, 678)(499, 679)(500, 680)(501, 681)(502, 682)(503, 683)(504, 684)(505, 685)(506, 686)(507, 687)(508, 688)(509, 689)(510, 690)(511, 691)(512, 692)(513, 693)(514, 694)(515, 695)(516, 696)(517, 697)(518, 698)(519, 699)(520, 700)(521, 701)(522, 702)(523, 703)(524, 704)(525, 705)(526, 706)(527, 707)(528, 708)(529, 709)(530, 710)(531, 711)(532, 712)(533, 713)(534, 714)(535, 715)(536, 716)(537, 717)(538, 718)(539, 719)(540, 720)
	L = (1, 363)(2, 367)(3, 370)(4, 371)(5, 361)(6, 375)(7, 377)(8, 362)(9, 364)(10, 381)(11, 383)(12, 379)(13, 365)(14, 385)(15, 387)(16, 366)(17, 389)(18, 368)(19, 391)(20, 369)(21, 393)(22, 372)(23, 395)(24, 373)(25, 397)(26, 374)(27, 399)(28, 376)(29, 401)(30, 378)(31, 403)(32, 380)(33, 405)(34, 382)(35, 407)(36, 384)(37, 409)(38, 386)(39, 411)(40, 388)(41, 413)(42, 390)(43, 415)(44, 392)(45, 417)(46, 394)(47, 419)(48, 396)(49, 421)(50, 398)(51, 423)(52, 400)(53, 425)(54, 402)(55, 427)(56, 404)(57, 429)(58, 406)(59, 431)(60, 408)(61, 433)(62, 410)(63, 435)(64, 412)(65, 437)(66, 414)(67, 439)(68, 416)(69, 441)(70, 418)(71, 443)(72, 420)(73, 445)(74, 422)(75, 447)(76, 424)(77, 449)(78, 426)(79, 451)(80, 428)(81, 453)(82, 430)(83, 455)(84, 432)(85, 457)(86, 434)(87, 459)(88, 436)(89, 461)(90, 438)(91, 463)(92, 440)(93, 465)(94, 442)(95, 467)(96, 444)(97, 469)(98, 446)(99, 471)(100, 448)(101, 473)(102, 450)(103, 475)(104, 452)(105, 477)(106, 454)(107, 479)(108, 456)(109, 481)(110, 458)(111, 483)(112, 460)(113, 485)(114, 462)(115, 487)(116, 464)(117, 489)(118, 466)(119, 491)(120, 468)(121, 493)(122, 470)(123, 495)(124, 472)(125, 497)(126, 474)(127, 499)(128, 476)(129, 501)(130, 478)(131, 503)(132, 480)(133, 505)(134, 482)(135, 507)(136, 484)(137, 509)(138, 486)(139, 511)(140, 488)(141, 513)(142, 490)(143, 515)(144, 492)(145, 517)(146, 494)(147, 519)(148, 496)(149, 521)(150, 498)(151, 523)(152, 500)(153, 525)(154, 502)(155, 527)(156, 504)(157, 528)(158, 506)(159, 530)(160, 508)(161, 532)(162, 510)(163, 533)(164, 512)(165, 516)(166, 514)(167, 534)(168, 536)(169, 518)(170, 538)(171, 520)(172, 522)(173, 539)(174, 524)(175, 526)(176, 540)(177, 529)(178, 531)(179, 535)(180, 537)(181, 541)(182, 542)(183, 543)(184, 544)(185, 545)(186, 546)(187, 547)(188, 548)(189, 549)(190, 550)(191, 551)(192, 552)(193, 553)(194, 554)(195, 555)(196, 556)(197, 557)(198, 558)(199, 559)(200, 560)(201, 561)(202, 562)(203, 563)(204, 564)(205, 565)(206, 566)(207, 567)(208, 568)(209, 569)(210, 570)(211, 571)(212, 572)(213, 573)(214, 574)(215, 575)(216, 576)(217, 577)(218, 578)(219, 579)(220, 580)(221, 581)(222, 582)(223, 583)(224, 584)(225, 585)(226, 586)(227, 587)(228, 588)(229, 589)(230, 590)(231, 591)(232, 592)(233, 593)(234, 594)(235, 595)(236, 596)(237, 597)(238, 598)(239, 599)(240, 600)(241, 601)(242, 602)(243, 603)(244, 604)(245, 605)(246, 606)(247, 607)(248, 608)(249, 609)(250, 610)(251, 611)(252, 612)(253, 613)(254, 614)(255, 615)(256, 616)(257, 617)(258, 618)(259, 619)(260, 620)(261, 621)(262, 622)(263, 623)(264, 624)(265, 625)(266, 626)(267, 627)(268, 628)(269, 629)(270, 630)(271, 631)(272, 632)(273, 633)(274, 634)(275, 635)(276, 636)(277, 637)(278, 638)(279, 639)(280, 640)(281, 641)(282, 642)(283, 643)(284, 644)(285, 645)(286, 646)(287, 647)(288, 648)(289, 649)(290, 650)(291, 651)(292, 652)(293, 653)(294, 654)(295, 655)(296, 656)(297, 657)(298, 658)(299, 659)(300, 660)(301, 661)(302, 662)(303, 663)(304, 664)(305, 665)(306, 666)(307, 667)(308, 668)(309, 669)(310, 670)(311, 671)(312, 672)(313, 673)(314, 674)(315, 675)(316, 676)(317, 677)(318, 678)(319, 679)(320, 680)(321, 681)(322, 682)(323, 683)(324, 684)(325, 685)(326, 686)(327, 687)(328, 688)(329, 689)(330, 690)(331, 691)(332, 692)(333, 693)(334, 694)(335, 695)(336, 696)(337, 697)(338, 698)(339, 699)(340, 700)(341, 701)(342, 702)(343, 703)(344, 704)(345, 705)(346, 706)(347, 707)(348, 708)(349, 709)(350, 710)(351, 711)(352, 712)(353, 713)(354, 714)(355, 715)(356, 716)(357, 717)(358, 718)(359, 719)(360, 720)
	local type(s) :: { ( 4, 60 ), ( 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60 ) }
Outer automorphisms :: reflexible
Dual of E28.2942
Graph:: simple bipartite
	v = 210 e = 360 f = 96
	degree seq :: [ 2^180, 12^30 ]

E28.2945 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 3, 21})
Quotient :: edge
Aut^+ = (C21 x C3) : C3 (small group id <189, 8>)
Aut   = (C21 x C3) : C3 (small group id <189, 8>)
|r| :: 1
Presentation :: [ X1^3, (X2^-1 * X1^-1)^3, (X2 * X1)^3, (X2^-1 * X1)^3, X2^6 * X1^-1 * X2^-3 * X1, X2^-2 * X1 * X2 * X1 * X2^-1 * X1 * X2 * X1 * X2^-2 * X1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 4)(3, 8, 10)(5, 13, 14)(6, 16, 18)(7, 19, 20)(9, 24, 26)(11, 28, 30)(12, 31, 22)(15, 35, 36)(17, 39, 41)(21, 45, 46)(23, 49, 44)(25, 53, 55)(27, 57, 51)(29, 60, 62)(32, 64, 65)(33, 67, 42)(34, 59, 70)(37, 73, 74)(38, 76, 48)(40, 79, 81)(43, 84, 63)(47, 89, 90)(50, 93, 88)(52, 95, 86)(54, 99, 101)(56, 103, 97)(58, 105, 106)(61, 110, 112)(66, 116, 117)(68, 119, 82)(69, 109, 122)(71, 123, 83)(72, 108, 126)(75, 129, 130)(77, 132, 115)(78, 134, 92)(80, 137, 138)(85, 142, 113)(87, 145, 114)(91, 150, 151)(94, 153, 149)(96, 154, 147)(98, 155, 144)(100, 158, 121)(102, 159, 156)(104, 160, 161)(107, 131, 162)(111, 166, 167)(118, 173, 174)(120, 175, 139)(124, 177, 140)(125, 165, 178)(127, 179, 141)(128, 164, 180)(133, 182, 172)(135, 183, 171)(136, 184, 152)(143, 186, 168)(146, 188, 169)(148, 189, 170)(157, 176, 187)(163, 185, 181)(190, 192, 198, 214, 243, 289, 299, 331, 334, 279, 338, 328, 270, 323, 321, 305, 320, 264, 226, 204, 194)(191, 195, 206, 229, 269, 287, 242, 286, 295, 306, 361, 357, 301, 311, 315, 262, 316, 280, 236, 210, 196)(193, 200, 218, 250, 300, 325, 268, 308, 312, 263, 317, 291, 244, 284, 282, 278, 337, 307, 255, 221, 201)(197, 211, 237, 281, 341, 346, 288, 345, 350, 351, 363, 358, 302, 251, 259, 224, 260, 313, 283, 239, 212)(199, 208, 232, 274, 332, 324, 267, 228, 256, 225, 261, 314, 290, 344, 343, 342, 339, 352, 296, 247, 216)(202, 222, 257, 309, 285, 241, 213, 240, 254, 304, 360, 356, 347, 367, 369, 318, 370, 359, 303, 252, 219)(203, 223, 258, 310, 365, 326, 364, 366, 368, 319, 293, 245, 215, 238, 234, 276, 335, 322, 266, 227, 205)(207, 220, 246, 292, 348, 354, 298, 249, 273, 235, 277, 336, 327, 373, 372, 371, 362, 374, 330, 272, 231)(209, 233, 275, 333, 376, 355, 375, 377, 378, 340, 329, 271, 230, 265, 253, 294, 349, 353, 297, 248, 217)
	L = (1, 190)(2, 191)(3, 192)(4, 193)(5, 194)(6, 195)(7, 196)(8, 197)(9, 198)(10, 199)(11, 200)(12, 201)(13, 202)(14, 203)(15, 204)(16, 205)(17, 206)(18, 207)(19, 208)(20, 209)(21, 210)(22, 211)(23, 212)(24, 213)(25, 214)(26, 215)(27, 216)(28, 217)(29, 218)(30, 219)(31, 220)(32, 221)(33, 222)(34, 223)(35, 224)(36, 225)(37, 226)(38, 227)(39, 228)(40, 229)(41, 230)(42, 231)(43, 232)(44, 233)(45, 234)(46, 235)(47, 236)(48, 237)(49, 238)(50, 239)(51, 240)(52, 241)(53, 242)(54, 243)(55, 244)(56, 245)(57, 246)(58, 247)(59, 248)(60, 249)(61, 250)(62, 251)(63, 252)(64, 253)(65, 254)(66, 255)(67, 256)(68, 257)(69, 258)(70, 259)(71, 260)(72, 261)(73, 262)(74, 263)(75, 264)(76, 265)(77, 266)(78, 267)(79, 268)(80, 269)(81, 270)(82, 271)(83, 272)(84, 273)(85, 274)(86, 275)(87, 276)(88, 277)(89, 278)(90, 279)(91, 280)(92, 281)(93, 282)(94, 283)(95, 284)(96, 285)(97, 286)(98, 287)(99, 288)(100, 289)(101, 290)(102, 291)(103, 292)(104, 293)(105, 294)(106, 295)(107, 296)(108, 297)(109, 298)(110, 299)(111, 300)(112, 301)(113, 302)(114, 303)(115, 304)(116, 305)(117, 306)(118, 307)(119, 308)(120, 309)(121, 310)(122, 311)(123, 312)(124, 313)(125, 314)(126, 315)(127, 316)(128, 317)(129, 318)(130, 319)(131, 320)(132, 321)(133, 322)(134, 323)(135, 324)(136, 325)(137, 326)(138, 327)(139, 328)(140, 329)(141, 330)(142, 331)(143, 332)(144, 333)(145, 334)(146, 335)(147, 336)(148, 337)(149, 338)(150, 339)(151, 340)(152, 341)(153, 342)(154, 343)(155, 344)(156, 345)(157, 346)(158, 347)(159, 348)(160, 349)(161, 350)(162, 351)(163, 352)(164, 353)(165, 354)(166, 355)(167, 356)(168, 357)(169, 358)(170, 359)(171, 360)(172, 361)(173, 362)(174, 363)(175, 364)(176, 365)(177, 366)(178, 367)(179, 368)(180, 369)(181, 370)(182, 371)(183, 372)(184, 373)(185, 374)(186, 375)(187, 376)(188, 377)(189, 378)
	local type(s) :: { ( 6^3 ), ( 6^21 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 72 e = 189 f = 63
	degree seq :: [ 3^63, 21^9 ]

E28.2946 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 3, 21})
Quotient :: loop
Aut^+ = (C21 x C3) : C3 (small group id <189, 8>)
Aut   = (C21 x C3) : C3 (small group id <189, 8>)
|r| :: 1
Presentation :: [ X1^3, X2^3, (X1^-1 * X2)^3, (X2^-1 * X1 * X2^-1 * X1^-1)^3, X2 * X1 * X2 * X1 * X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2 * X1 * X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1^-1, (X2^-1 * X1^-1)^21 ]
Map:: polytopal non-degenerate
	R = (1, 190, 2, 191, 4, 193)(3, 192, 8, 197, 9, 198)(5, 194, 12, 201, 13, 202)(6, 195, 14, 203, 15, 204)(7, 196, 16, 205, 17, 206)(10, 199, 21, 210, 22, 211)(11, 200, 23, 212, 24, 213)(18, 207, 33, 222, 34, 223)(19, 208, 26, 215, 35, 224)(20, 209, 36, 225, 37, 226)(25, 214, 42, 231, 43, 232)(27, 216, 44, 233, 45, 234)(28, 217, 46, 235, 47, 236)(29, 218, 31, 220, 48, 237)(30, 219, 49, 238, 50, 239)(32, 221, 51, 240, 52, 241)(38, 227, 59, 248, 60, 249)(39, 228, 40, 229, 61, 250)(41, 230, 62, 251, 63, 252)(53, 242, 76, 265, 77, 266)(54, 243, 56, 245, 78, 267)(55, 244, 79, 268, 80, 269)(57, 246, 66, 255, 81, 270)(58, 247, 82, 271, 83, 272)(64, 253, 90, 279, 91, 280)(65, 254, 92, 281, 93, 282)(67, 256, 94, 283, 95, 284)(68, 257, 96, 285, 97, 286)(69, 258, 71, 260, 98, 287)(70, 259, 99, 288, 100, 289)(72, 261, 74, 263, 101, 290)(73, 262, 102, 291, 103, 292)(75, 264, 104, 293, 105, 294)(84, 273, 115, 304, 116, 305)(85, 274, 86, 275, 117, 306)(87, 276, 88, 277, 118, 307)(89, 278, 119, 308, 120, 309)(106, 295, 137, 326, 138, 327)(107, 296, 109, 298, 139, 328)(108, 297, 140, 329, 141, 330)(110, 299, 112, 301, 142, 331)(111, 300, 143, 332, 144, 333)(113, 302, 124, 313, 145, 334)(114, 303, 146, 335, 147, 336)(121, 310, 156, 345, 157, 346)(122, 311, 158, 347, 159, 348)(123, 312, 160, 349, 161, 350)(125, 314, 162, 351, 163, 352)(126, 315, 164, 353, 165, 354)(127, 316, 129, 318, 166, 355)(128, 317, 167, 356, 168, 357)(130, 319, 132, 321, 169, 358)(131, 320, 170, 359, 171, 360)(133, 322, 135, 324, 172, 361)(134, 323, 173, 362, 174, 363)(136, 325, 175, 364, 176, 365)(148, 337, 184, 373, 185, 374)(149, 338, 150, 339, 177, 366)(151, 340, 152, 341, 179, 368)(153, 342, 154, 343, 181, 370)(155, 344, 186, 375, 182, 371)(178, 367, 180, 369, 188, 377)(183, 372, 189, 378, 187, 376)
	L = (1, 192)(2, 195)(3, 194)(4, 199)(5, 190)(6, 196)(7, 191)(8, 207)(9, 205)(10, 200)(11, 193)(12, 214)(13, 215)(14, 217)(15, 212)(16, 209)(17, 220)(18, 208)(19, 197)(20, 198)(21, 227)(22, 201)(23, 219)(24, 229)(25, 211)(26, 216)(27, 202)(28, 218)(29, 203)(30, 204)(31, 221)(32, 206)(33, 242)(34, 225)(35, 245)(36, 244)(37, 240)(38, 228)(39, 210)(40, 230)(41, 213)(42, 253)(43, 233)(44, 254)(45, 255)(46, 257)(47, 238)(48, 260)(49, 259)(50, 251)(51, 247)(52, 263)(53, 243)(54, 222)(55, 223)(56, 246)(57, 224)(58, 226)(59, 273)(60, 231)(61, 275)(62, 262)(63, 277)(64, 249)(65, 232)(66, 256)(67, 234)(68, 258)(69, 235)(70, 236)(71, 261)(72, 237)(73, 239)(74, 264)(75, 241)(76, 295)(77, 268)(78, 298)(79, 297)(80, 271)(81, 301)(82, 300)(83, 293)(84, 274)(85, 248)(86, 276)(87, 250)(88, 278)(89, 252)(90, 310)(91, 281)(92, 311)(93, 283)(94, 312)(95, 313)(96, 315)(97, 288)(98, 318)(99, 317)(100, 291)(101, 321)(102, 320)(103, 308)(104, 303)(105, 324)(106, 296)(107, 265)(108, 266)(109, 299)(110, 267)(111, 269)(112, 302)(113, 270)(114, 272)(115, 337)(116, 279)(117, 339)(118, 341)(119, 323)(120, 343)(121, 305)(122, 280)(123, 282)(124, 314)(125, 284)(126, 316)(127, 285)(128, 286)(129, 319)(130, 287)(131, 289)(132, 322)(133, 290)(134, 292)(135, 325)(136, 294)(137, 366)(138, 329)(139, 369)(140, 368)(141, 332)(142, 354)(143, 370)(144, 335)(145, 357)(146, 371)(147, 364)(148, 338)(149, 304)(150, 340)(151, 306)(152, 342)(153, 307)(154, 344)(155, 309)(156, 358)(157, 347)(158, 361)(159, 349)(160, 365)(161, 351)(162, 376)(163, 360)(164, 328)(165, 356)(166, 377)(167, 331)(168, 359)(169, 374)(170, 334)(171, 362)(172, 346)(173, 352)(174, 375)(175, 372)(176, 348)(177, 367)(178, 326)(179, 327)(180, 353)(181, 330)(182, 333)(183, 336)(184, 355)(185, 345)(186, 378)(187, 350)(188, 373)(189, 363)
	local type(s) :: { ( 3, 21, 3, 21, 3, 21 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: simple
	v = 63 e = 189 f = 72
	degree seq :: [ 6^63 ]

E28.2947 :: Family: { 2*ex } :: Oriented family(ies): { E3c }
Signature :: (0; {3, 3, 21})
Quotient :: loop
Aut^+ = (C21 x C3) : C3 (small group id <189, 8>)
Aut   = ((C21 x C3) : C3) : C2 (small group id <378, 22>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^3, F * T1 * F * T2, (T2 * T1^-1)^3, (T2 * T1^-1)^3, (T1 * T2 * T1 * T2^-1)^3, T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 5)(2, 6, 7)(4, 10, 11)(8, 18, 19)(9, 16, 20)(12, 25, 22)(13, 26, 27)(14, 28, 29)(15, 23, 30)(17, 31, 32)(21, 38, 39)(24, 40, 41)(33, 53, 54)(34, 36, 55)(35, 56, 57)(37, 51, 58)(42, 64, 60)(43, 44, 65)(45, 66, 67)(46, 68, 69)(47, 49, 70)(48, 71, 72)(50, 62, 73)(52, 74, 75)(59, 84, 85)(61, 86, 87)(63, 88, 89)(76, 106, 107)(77, 79, 108)(78, 109, 110)(80, 82, 111)(81, 112, 113)(83, 104, 114)(90, 121, 116)(91, 92, 122)(93, 94, 123)(95, 124, 125)(96, 126, 127)(97, 99, 128)(98, 129, 130)(100, 102, 131)(101, 132, 133)(103, 119, 134)(105, 135, 136)(115, 148, 149)(117, 150, 151)(118, 152, 153)(120, 154, 155)(137, 177, 178)(138, 140, 179)(139, 180, 164)(141, 143, 181)(142, 165, 167)(144, 146, 182)(145, 168, 170)(147, 175, 183)(156, 169, 185)(157, 158, 172)(159, 160, 176)(161, 162, 187)(163, 171, 173)(166, 188, 184)(174, 186, 189)(190, 191, 193)(192, 197, 198)(194, 201, 202)(195, 203, 204)(196, 205, 206)(199, 210, 211)(200, 212, 213)(207, 222, 223)(208, 215, 224)(209, 225, 226)(214, 231, 232)(216, 233, 234)(217, 235, 236)(218, 220, 237)(219, 238, 239)(221, 240, 241)(227, 248, 249)(228, 229, 250)(230, 251, 252)(242, 265, 266)(243, 245, 267)(244, 268, 269)(246, 255, 270)(247, 271, 272)(253, 279, 280)(254, 281, 282)(256, 283, 284)(257, 285, 286)(258, 260, 287)(259, 288, 289)(261, 263, 290)(262, 291, 292)(264, 293, 294)(273, 304, 305)(274, 275, 306)(276, 277, 307)(278, 308, 309)(295, 326, 327)(296, 298, 328)(297, 329, 330)(299, 301, 331)(300, 332, 333)(302, 313, 334)(303, 335, 336)(310, 345, 346)(311, 347, 348)(312, 349, 350)(314, 351, 352)(315, 353, 354)(316, 318, 355)(317, 356, 357)(319, 321, 358)(320, 359, 360)(322, 324, 361)(323, 362, 363)(325, 364, 365)(337, 373, 374)(338, 339, 366)(340, 341, 368)(342, 343, 370)(344, 375, 371)(367, 369, 377)(372, 378, 376)
	L = (1, 190)(2, 191)(3, 192)(4, 193)(5, 194)(6, 195)(7, 196)(8, 197)(9, 198)(10, 199)(11, 200)(12, 201)(13, 202)(14, 203)(15, 204)(16, 205)(17, 206)(18, 207)(19, 208)(20, 209)(21, 210)(22, 211)(23, 212)(24, 213)(25, 214)(26, 215)(27, 216)(28, 217)(29, 218)(30, 219)(31, 220)(32, 221)(33, 222)(34, 223)(35, 224)(36, 225)(37, 226)(38, 227)(39, 228)(40, 229)(41, 230)(42, 231)(43, 232)(44, 233)(45, 234)(46, 235)(47, 236)(48, 237)(49, 238)(50, 239)(51, 240)(52, 241)(53, 242)(54, 243)(55, 244)(56, 245)(57, 246)(58, 247)(59, 248)(60, 249)(61, 250)(62, 251)(63, 252)(64, 253)(65, 254)(66, 255)(67, 256)(68, 257)(69, 258)(70, 259)(71, 260)(72, 261)(73, 262)(74, 263)(75, 264)(76, 265)(77, 266)(78, 267)(79, 268)(80, 269)(81, 270)(82, 271)(83, 272)(84, 273)(85, 274)(86, 275)(87, 276)(88, 277)(89, 278)(90, 279)(91, 280)(92, 281)(93, 282)(94, 283)(95, 284)(96, 285)(97, 286)(98, 287)(99, 288)(100, 289)(101, 290)(102, 291)(103, 292)(104, 293)(105, 294)(106, 295)(107, 296)(108, 297)(109, 298)(110, 299)(111, 300)(112, 301)(113, 302)(114, 303)(115, 304)(116, 305)(117, 306)(118, 307)(119, 308)(120, 309)(121, 310)(122, 311)(123, 312)(124, 313)(125, 314)(126, 315)(127, 316)(128, 317)(129, 318)(130, 319)(131, 320)(132, 321)(133, 322)(134, 323)(135, 324)(136, 325)(137, 326)(138, 327)(139, 328)(140, 329)(141, 330)(142, 331)(143, 332)(144, 333)(145, 334)(146, 335)(147, 336)(148, 337)(149, 338)(150, 339)(151, 340)(152, 341)(153, 342)(154, 343)(155, 344)(156, 345)(157, 346)(158, 347)(159, 348)(160, 349)(161, 350)(162, 351)(163, 352)(164, 353)(165, 354)(166, 355)(167, 356)(168, 357)(169, 358)(170, 359)(171, 360)(172, 361)(173, 362)(174, 363)(175, 364)(176, 365)(177, 366)(178, 367)(179, 368)(180, 369)(181, 370)(182, 371)(183, 372)(184, 373)(185, 374)(186, 375)(187, 376)(188, 377)(189, 378)
	local type(s) :: { ( 42^3 ) }
Outer automorphisms :: reflexible
Dual of E28.2948
Transitivity :: ET+ VT AT
Graph:: simple bipartite
	v = 126 e = 189 f = 9
	degree seq :: [ 3^126 ]

E28.2948 :: Family: { 2ex } :: Oriented family(ies): { E3*c }
Signature :: (0; {3, 3, 21})
Quotient :: edge
Aut^+ = (C21 x C3) : C3 (small group id <189, 8>)
Aut   = ((C21 x C3) : C3) : C2 (small group id <378, 22>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, F * T1 * T2 * F * T1^-1, (T1^-1 * T2^-1)^3, (T1 * T2)^3, (T2^-1 * T1)^3, (T1^-1 * T2^2 * T1 * F)^2, T2^6 * T1^-1 * T2^-3 * T1, T2^2 * T1^-1 * T2^-1 * T1^-1 * T2^2 * T1 * T2^3 * T1, T2^5 * T1^-1 * T2^-2 * F * T1^-1 * F * T1^-1 * T2 ]
Map:: polytopal non-degenerate
	R = (1, 190, 3, 192, 9, 198, 25, 214, 54, 243, 100, 289, 110, 299, 142, 331, 145, 334, 90, 279, 149, 338, 139, 328, 81, 270, 134, 323, 132, 321, 116, 305, 131, 320, 75, 264, 37, 226, 15, 204, 5, 194)(2, 191, 6, 195, 17, 206, 40, 229, 80, 269, 98, 287, 53, 242, 97, 286, 106, 295, 117, 306, 172, 361, 168, 357, 112, 301, 122, 311, 126, 315, 73, 262, 127, 316, 91, 280, 47, 236, 21, 210, 7, 196)(4, 193, 11, 200, 29, 218, 61, 250, 111, 300, 136, 325, 79, 268, 119, 308, 123, 312, 74, 263, 128, 317, 102, 291, 55, 244, 95, 284, 93, 282, 89, 278, 148, 337, 118, 307, 66, 255, 32, 221, 12, 201)(8, 197, 22, 211, 48, 237, 92, 281, 152, 341, 157, 346, 99, 288, 156, 345, 161, 350, 162, 351, 174, 363, 169, 358, 113, 302, 62, 251, 70, 259, 35, 224, 71, 260, 124, 313, 94, 283, 50, 239, 23, 212)(10, 199, 19, 208, 43, 232, 85, 274, 143, 332, 135, 324, 78, 267, 39, 228, 67, 256, 36, 225, 72, 261, 125, 314, 101, 290, 155, 344, 154, 343, 153, 342, 150, 339, 163, 352, 107, 296, 58, 247, 27, 216)(13, 202, 33, 222, 68, 257, 120, 309, 96, 285, 52, 241, 24, 213, 51, 240, 65, 254, 115, 304, 171, 360, 167, 356, 158, 347, 178, 367, 180, 369, 129, 318, 181, 370, 170, 359, 114, 303, 63, 252, 30, 219)(14, 203, 34, 223, 69, 258, 121, 310, 176, 365, 137, 326, 175, 364, 177, 366, 179, 368, 130, 319, 104, 293, 56, 245, 26, 215, 49, 238, 45, 234, 87, 276, 146, 335, 133, 322, 77, 266, 38, 227, 16, 205)(18, 207, 31, 220, 57, 246, 103, 292, 159, 348, 165, 354, 109, 298, 60, 249, 84, 273, 46, 235, 88, 277, 147, 336, 138, 327, 184, 373, 183, 372, 182, 371, 173, 362, 185, 374, 141, 330, 83, 272, 42, 231)(20, 209, 44, 233, 86, 275, 144, 333, 187, 376, 166, 355, 186, 375, 188, 377, 189, 378, 151, 340, 140, 329, 82, 271, 41, 230, 76, 265, 64, 253, 105, 294, 160, 349, 164, 353, 108, 297, 59, 248, 28, 217)
	L = (1, 191)(2, 193)(3, 197)(4, 190)(5, 202)(6, 205)(7, 208)(8, 199)(9, 213)(10, 192)(11, 217)(12, 220)(13, 203)(14, 194)(15, 224)(16, 207)(17, 228)(18, 195)(19, 209)(20, 196)(21, 234)(22, 201)(23, 238)(24, 215)(25, 242)(26, 198)(27, 246)(28, 219)(29, 249)(30, 200)(31, 211)(32, 253)(33, 256)(34, 248)(35, 225)(36, 204)(37, 262)(38, 265)(39, 230)(40, 268)(41, 206)(42, 222)(43, 273)(44, 212)(45, 235)(46, 210)(47, 278)(48, 227)(49, 233)(50, 282)(51, 216)(52, 284)(53, 244)(54, 288)(55, 214)(56, 292)(57, 240)(58, 294)(59, 259)(60, 251)(61, 299)(62, 218)(63, 232)(64, 254)(65, 221)(66, 305)(67, 231)(68, 308)(69, 298)(70, 223)(71, 312)(72, 297)(73, 263)(74, 226)(75, 318)(76, 237)(77, 321)(78, 323)(79, 270)(80, 326)(81, 229)(82, 257)(83, 260)(84, 252)(85, 331)(86, 241)(87, 334)(88, 239)(89, 279)(90, 236)(91, 339)(92, 267)(93, 277)(94, 342)(95, 275)(96, 343)(97, 245)(98, 344)(99, 290)(100, 347)(101, 243)(102, 348)(103, 286)(104, 349)(105, 295)(106, 247)(107, 320)(108, 315)(109, 311)(110, 301)(111, 355)(112, 250)(113, 274)(114, 276)(115, 266)(116, 306)(117, 255)(118, 362)(119, 271)(120, 364)(121, 289)(122, 258)(123, 272)(124, 366)(125, 354)(126, 261)(127, 368)(128, 353)(129, 319)(130, 264)(131, 351)(132, 304)(133, 371)(134, 281)(135, 372)(136, 373)(137, 327)(138, 269)(139, 309)(140, 313)(141, 316)(142, 302)(143, 375)(144, 287)(145, 303)(146, 377)(147, 285)(148, 378)(149, 283)(150, 340)(151, 280)(152, 325)(153, 338)(154, 336)(155, 333)(156, 291)(157, 365)(158, 310)(159, 345)(160, 350)(161, 293)(162, 296)(163, 374)(164, 369)(165, 367)(166, 356)(167, 300)(168, 332)(169, 335)(170, 337)(171, 324)(172, 322)(173, 363)(174, 307)(175, 328)(176, 376)(177, 329)(178, 314)(179, 330)(180, 317)(181, 352)(182, 361)(183, 360)(184, 341)(185, 370)(186, 357)(187, 346)(188, 358)(189, 359)
	local type(s) :: { ( 3^42 ) }
Outer automorphisms :: reflexible
Dual of E28.2947
Transitivity :: ET+ VT+
Graph::
	v = 9 e = 189 f = 126
	degree seq :: [ 42^9 ]

E28.2949 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 21})
Quotient :: edge^2
Aut^+ = (C21 x C3) : C3 (small group id <189, 8>)
Aut   = ((C21 x C3) : C3) : C2 (small group id <378, 22>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3, Y1^-1 * Y3^-1 * Y2^-1, R * Y2 * R * Y1, (R * Y3)^2, Y1 * Y3 * Y1^-1 * Y2^-1 * Y1 * Y2^-1, Y3 * Y2 * Y1^-1 * Y2^-1 * Y3 * Y2^-1, Y3^3 * Y2 * Y1 * Y3^-3 * Y1^-1 * Y2^-1, Y1 * Y3^6 * Y2 * Y3^-2 ]
Map:: polytopal non-degenerate
	R = (1, 190, 4, 193, 15, 204, 40, 229, 83, 272, 144, 333, 94, 283, 122, 311, 124, 313, 126, 315, 164, 353, 112, 301, 114, 303, 117, 306, 119, 308, 77, 266, 134, 323, 109, 298, 57, 246, 23, 212, 7, 196)(2, 191, 8, 197, 25, 214, 60, 249, 113, 302, 86, 275, 42, 231, 72, 261, 75, 264, 78, 267, 136, 325, 155, 344, 157, 346, 159, 348, 161, 350, 107, 296, 169, 358, 127, 316, 70, 259, 31, 220, 10, 199)(3, 192, 5, 194, 18, 207, 45, 234, 92, 281, 156, 345, 116, 305, 62, 251, 102, 291, 105, 294, 108, 297, 142, 331, 82, 271, 84, 273, 87, 276, 98, 287, 125, 314, 139, 328, 79, 268, 37, 226, 13, 202)(6, 195, 12, 201, 34, 223, 73, 262, 130, 319, 147, 336, 85, 274, 129, 318, 132, 321, 135, 324, 138, 327, 154, 343, 91, 280, 93, 282, 96, 285, 55, 244, 104, 293, 165, 354, 100, 289, 51, 240, 20, 209)(9, 198, 22, 211, 54, 243, 103, 292, 167, 356, 175, 364, 115, 304, 166, 355, 168, 357, 170, 359, 141, 330, 81, 270, 39, 228, 41, 230, 49, 238, 68, 257, 123, 312, 180, 369, 120, 309, 65, 254, 28, 217)(11, 200, 32, 221, 71, 260, 128, 317, 160, 349, 95, 284, 47, 236, 67, 256, 69, 258, 99, 288, 151, 340, 174, 363, 176, 365, 177, 366, 179, 368, 137, 326, 172, 361, 110, 299, 58, 247, 24, 213, 26, 215)(14, 203, 16, 205, 29, 218, 66, 255, 121, 310, 178, 367, 118, 307, 63, 252, 27, 216, 53, 242, 56, 245, 106, 295, 143, 332, 145, 334, 148, 337, 150, 339, 163, 352, 184, 373, 140, 329, 80, 269, 38, 227)(17, 206, 33, 222, 36, 225, 76, 265, 133, 322, 187, 376, 146, 335, 185, 374, 186, 375, 171, 360, 188, 377, 153, 342, 90, 279, 44, 233, 46, 235, 21, 210, 52, 241, 101, 290, 152, 341, 89, 278, 43, 232)(19, 208, 30, 219, 50, 239, 88, 277, 149, 338, 189, 378, 158, 347, 181, 370, 182, 371, 183, 372, 173, 362, 111, 300, 59, 248, 61, 250, 64, 253, 35, 224, 74, 263, 131, 320, 162, 351, 97, 286, 48, 237)(379, 380, 383)(381, 389, 390)(382, 384, 394)(385, 399, 400)(386, 387, 404)(388, 407, 408)(391, 413, 414)(392, 410, 411)(393, 395, 419)(396, 397, 424)(398, 427, 428)(401, 433, 434)(402, 430, 431)(403, 405, 439)(406, 442, 412)(409, 446, 447)(415, 455, 456)(416, 452, 453)(417, 449, 450)(418, 420, 462)(421, 465, 466)(422, 444, 445)(423, 425, 471)(426, 474, 432)(429, 476, 477)(435, 485, 486)(436, 482, 483)(437, 479, 480)(438, 440, 492)(441, 495, 451)(443, 497, 454)(448, 503, 504)(457, 515, 516)(458, 512, 513)(459, 509, 510)(460, 506, 507)(461, 463, 523)(464, 526, 527)(467, 528, 529)(468, 501, 502)(469, 499, 500)(470, 472, 535)(473, 537, 481)(475, 539, 484)(478, 541, 542)(487, 549, 519)(488, 547, 548)(489, 543, 546)(490, 530, 544)(491, 493, 552)(494, 554, 508)(496, 555, 511)(498, 557, 514)(505, 562, 551)(517, 561, 531)(518, 550, 566)(520, 540, 564)(521, 538, 563)(522, 524, 545)(525, 553, 567)(532, 558, 560)(533, 556, 559)(534, 536, 565)(568, 570, 573)(569, 574, 576)(571, 581, 584)(572, 577, 586)(575, 591, 594)(578, 580, 600)(579, 593, 595)(582, 606, 609)(583, 587, 597)(585, 611, 614)(588, 590, 620)(589, 613, 615)(592, 626, 629)(596, 598, 634)(599, 605, 639)(601, 628, 630)(602, 604, 642)(603, 631, 632)(607, 649, 652)(608, 610, 617)(612, 658, 661)(616, 618, 636)(619, 625, 669)(621, 660, 662)(622, 624, 672)(623, 663, 664)(627, 679, 682)(633, 657, 689)(635, 637, 691)(638, 648, 696)(640, 681, 683)(641, 647, 699)(643, 684, 685)(644, 646, 702)(645, 686, 687)(650, 710, 713)(651, 653, 655)(654, 656, 666)(659, 722, 725)(665, 667, 693)(668, 678, 733)(670, 724, 711)(671, 677, 735)(673, 726, 727)(674, 676, 737)(675, 728, 729)(680, 718, 715)(688, 721, 748)(690, 720, 749)(692, 694, 750)(695, 709, 752)(697, 741, 742)(698, 708, 753)(700, 743, 723)(701, 707, 738)(703, 744, 745)(704, 706, 755)(705, 746, 747)(712, 714, 716)(717, 719, 731)(730, 732, 740)(734, 754, 756)(736, 739, 751)
	L = (1, 379)(2, 380)(3, 381)(4, 382)(5, 383)(6, 384)(7, 385)(8, 386)(9, 387)(10, 388)(11, 389)(12, 390)(13, 391)(14, 392)(15, 393)(16, 394)(17, 395)(18, 396)(19, 397)(20, 398)(21, 399)(22, 400)(23, 401)(24, 402)(25, 403)(26, 404)(27, 405)(28, 406)(29, 407)(30, 408)(31, 409)(32, 410)(33, 411)(34, 412)(35, 413)(36, 414)(37, 415)(38, 416)(39, 417)(40, 418)(41, 419)(42, 420)(43, 421)(44, 422)(45, 423)(46, 424)(47, 425)(48, 426)(49, 427)(50, 428)(51, 429)(52, 430)(53, 431)(54, 432)(55, 433)(56, 434)(57, 435)(58, 436)(59, 437)(60, 438)(61, 439)(62, 440)(63, 441)(64, 442)(65, 443)(66, 444)(67, 445)(68, 446)(69, 447)(70, 448)(71, 449)(72, 450)(73, 451)(74, 452)(75, 453)(76, 454)(77, 455)(78, 456)(79, 457)(80, 458)(81, 459)(82, 460)(83, 461)(84, 462)(85, 463)(86, 464)(87, 465)(88, 466)(89, 467)(90, 468)(91, 469)(92, 470)(93, 471)(94, 472)(95, 473)(96, 474)(97, 475)(98, 476)(99, 477)(100, 478)(101, 479)(102, 480)(103, 481)(104, 482)(105, 483)(106, 484)(107, 485)(108, 486)(109, 487)(110, 488)(111, 489)(112, 490)(113, 491)(114, 492)(115, 493)(116, 494)(117, 495)(118, 496)(119, 497)(120, 498)(121, 499)(122, 500)(123, 501)(124, 502)(125, 503)(126, 504)(127, 505)(128, 506)(129, 507)(130, 508)(131, 509)(132, 510)(133, 511)(134, 512)(135, 513)(136, 514)(137, 515)(138, 516)(139, 517)(140, 518)(141, 519)(142, 520)(143, 521)(144, 522)(145, 523)(146, 524)(147, 525)(148, 526)(149, 527)(150, 528)(151, 529)(152, 530)(153, 531)(154, 532)(155, 533)(156, 534)(157, 535)(158, 536)(159, 537)(160, 538)(161, 539)(162, 540)(163, 541)(164, 542)(165, 543)(166, 544)(167, 545)(168, 546)(169, 547)(170, 548)(171, 549)(172, 550)(173, 551)(174, 552)(175, 553)(176, 554)(177, 555)(178, 556)(179, 557)(180, 558)(181, 559)(182, 560)(183, 561)(184, 562)(185, 563)(186, 564)(187, 565)(188, 566)(189, 567)(190, 568)(191, 569)(192, 570)(193, 571)(194, 572)(195, 573)(196, 574)(197, 575)(198, 576)(199, 577)(200, 578)(201, 579)(202, 580)(203, 581)(204, 582)(205, 583)(206, 584)(207, 585)(208, 586)(209, 587)(210, 588)(211, 589)(212, 590)(213, 591)(214, 592)(215, 593)(216, 594)(217, 595)(218, 596)(219, 597)(220, 598)(221, 599)(222, 600)(223, 601)(224, 602)(225, 603)(226, 604)(227, 605)(228, 606)(229, 607)(230, 608)(231, 609)(232, 610)(233, 611)(234, 612)(235, 613)(236, 614)(237, 615)(238, 616)(239, 617)(240, 618)(241, 619)(242, 620)(243, 621)(244, 622)(245, 623)(246, 624)(247, 625)(248, 626)(249, 627)(250, 628)(251, 629)(252, 630)(253, 631)(254, 632)(255, 633)(256, 634)(257, 635)(258, 636)(259, 637)(260, 638)(261, 639)(262, 640)(263, 641)(264, 642)(265, 643)(266, 644)(267, 645)(268, 646)(269, 647)(270, 648)(271, 649)(272, 650)(273, 651)(274, 652)(275, 653)(276, 654)(277, 655)(278, 656)(279, 657)(280, 658)(281, 659)(282, 660)(283, 661)(284, 662)(285, 663)(286, 664)(287, 665)(288, 666)(289, 667)(290, 668)(291, 669)(292, 670)(293, 671)(294, 672)(295, 673)(296, 674)(297, 675)(298, 676)(299, 677)(300, 678)(301, 679)(302, 680)(303, 681)(304, 682)(305, 683)(306, 684)(307, 685)(308, 686)(309, 687)(310, 688)(311, 689)(312, 690)(313, 691)(314, 692)(315, 693)(316, 694)(317, 695)(318, 696)(319, 697)(320, 698)(321, 699)(322, 700)(323, 701)(324, 702)(325, 703)(326, 704)(327, 705)(328, 706)(329, 707)(330, 708)(331, 709)(332, 710)(333, 711)(334, 712)(335, 713)(336, 714)(337, 715)(338, 716)(339, 717)(340, 718)(341, 719)(342, 720)(343, 721)(344, 722)(345, 723)(346, 724)(347, 725)(348, 726)(349, 727)(350, 728)(351, 729)(352, 730)(353, 731)(354, 732)(355, 733)(356, 734)(357, 735)(358, 736)(359, 737)(360, 738)(361, 739)(362, 740)(363, 741)(364, 742)(365, 743)(366, 744)(367, 745)(368, 746)(369, 747)(370, 748)(371, 749)(372, 750)(373, 751)(374, 752)(375, 753)(376, 754)(377, 755)(378, 756)
	local type(s) :: { ( 4^3 ), ( 4^42 ) }
Outer automorphisms :: reflexible
Dual of E28.2952
Graph:: simple bipartite
	v = 135 e = 378 f = 189
	degree seq :: [ 3^126, 42^9 ]

E28.2950 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 21})
Quotient :: edge^2
Aut^+ = (C21 x C3) : C3 (small group id <189, 8>)
Aut   = ((C21 x C3) : C3) : C2 (small group id <378, 22>)
|r| :: 2
Presentation :: [ Y3, R^2, Y2^3, Y1^3, (R * Y3)^2, R * Y1 * R * Y2, (Y1^-1 * Y2)^3, (Y1^-1 * Y2 * Y1^-1 * Y2^-1)^3, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y1^-1 * Y3^-1 * Y2^-1)^21 ]
Map:: polytopal
	R = (1, 190)(2, 191)(3, 192)(4, 193)(5, 194)(6, 195)(7, 196)(8, 197)(9, 198)(10, 199)(11, 200)(12, 201)(13, 202)(14, 203)(15, 204)(16, 205)(17, 206)(18, 207)(19, 208)(20, 209)(21, 210)(22, 211)(23, 212)(24, 213)(25, 214)(26, 215)(27, 216)(28, 217)(29, 218)(30, 219)(31, 220)(32, 221)(33, 222)(34, 223)(35, 224)(36, 225)(37, 226)(38, 227)(39, 228)(40, 229)(41, 230)(42, 231)(43, 232)(44, 233)(45, 234)(46, 235)(47, 236)(48, 237)(49, 238)(50, 239)(51, 240)(52, 241)(53, 242)(54, 243)(55, 244)(56, 245)(57, 246)(58, 247)(59, 248)(60, 249)(61, 250)(62, 251)(63, 252)(64, 253)(65, 254)(66, 255)(67, 256)(68, 257)(69, 258)(70, 259)(71, 260)(72, 261)(73, 262)(74, 263)(75, 264)(76, 265)(77, 266)(78, 267)(79, 268)(80, 269)(81, 270)(82, 271)(83, 272)(84, 273)(85, 274)(86, 275)(87, 276)(88, 277)(89, 278)(90, 279)(91, 280)(92, 281)(93, 282)(94, 283)(95, 284)(96, 285)(97, 286)(98, 287)(99, 288)(100, 289)(101, 290)(102, 291)(103, 292)(104, 293)(105, 294)(106, 295)(107, 296)(108, 297)(109, 298)(110, 299)(111, 300)(112, 301)(113, 302)(114, 303)(115, 304)(116, 305)(117, 306)(118, 307)(119, 308)(120, 309)(121, 310)(122, 311)(123, 312)(124, 313)(125, 314)(126, 315)(127, 316)(128, 317)(129, 318)(130, 319)(131, 320)(132, 321)(133, 322)(134, 323)(135, 324)(136, 325)(137, 326)(138, 327)(139, 328)(140, 329)(141, 330)(142, 331)(143, 332)(144, 333)(145, 334)(146, 335)(147, 336)(148, 337)(149, 338)(150, 339)(151, 340)(152, 341)(153, 342)(154, 343)(155, 344)(156, 345)(157, 346)(158, 347)(159, 348)(160, 349)(161, 350)(162, 351)(163, 352)(164, 353)(165, 354)(166, 355)(167, 356)(168, 357)(169, 358)(170, 359)(171, 360)(172, 361)(173, 362)(174, 363)(175, 364)(176, 365)(177, 366)(178, 367)(179, 368)(180, 369)(181, 370)(182, 371)(183, 372)(184, 373)(185, 374)(186, 375)(187, 376)(188, 377)(189, 378)(379, 380, 382)(381, 386, 387)(383, 390, 391)(384, 392, 393)(385, 394, 395)(388, 399, 400)(389, 401, 402)(396, 411, 412)(397, 404, 413)(398, 414, 415)(403, 420, 421)(405, 422, 423)(406, 424, 425)(407, 409, 426)(408, 427, 428)(410, 429, 430)(416, 437, 438)(417, 418, 439)(419, 440, 441)(431, 454, 455)(432, 434, 456)(433, 457, 458)(435, 444, 459)(436, 460, 461)(442, 468, 469)(443, 470, 471)(445, 472, 473)(446, 474, 475)(447, 449, 476)(448, 477, 478)(450, 452, 479)(451, 480, 481)(453, 482, 483)(462, 493, 494)(463, 464, 495)(465, 466, 496)(467, 497, 498)(484, 515, 516)(485, 487, 517)(486, 518, 519)(488, 490, 520)(489, 521, 522)(491, 502, 523)(492, 524, 525)(499, 534, 535)(500, 536, 537)(501, 538, 539)(503, 540, 541)(504, 542, 543)(505, 507, 544)(506, 545, 546)(508, 510, 547)(509, 548, 549)(511, 513, 550)(512, 551, 552)(514, 553, 554)(526, 562, 563)(527, 528, 555)(529, 530, 557)(531, 532, 559)(533, 564, 560)(556, 558, 566)(561, 567, 565)(568, 570, 572)(569, 573, 574)(571, 577, 578)(575, 585, 586)(576, 583, 587)(579, 592, 589)(580, 593, 594)(581, 595, 596)(582, 590, 597)(584, 598, 599)(588, 605, 606)(591, 607, 608)(600, 620, 621)(601, 603, 622)(602, 623, 624)(604, 618, 625)(609, 631, 627)(610, 611, 632)(612, 633, 634)(613, 635, 636)(614, 616, 637)(615, 638, 639)(617, 629, 640)(619, 641, 642)(626, 651, 652)(628, 653, 654)(630, 655, 656)(643, 673, 674)(644, 646, 675)(645, 676, 677)(647, 649, 678)(648, 679, 680)(650, 671, 681)(657, 688, 683)(658, 659, 689)(660, 661, 690)(662, 691, 692)(663, 693, 694)(664, 666, 695)(665, 696, 697)(667, 669, 698)(668, 699, 700)(670, 686, 701)(672, 702, 703)(682, 715, 716)(684, 717, 718)(685, 719, 720)(687, 721, 722)(704, 744, 745)(705, 707, 746)(706, 747, 731)(708, 710, 748)(709, 732, 734)(711, 713, 749)(712, 735, 737)(714, 742, 750)(723, 736, 752)(724, 725, 739)(726, 727, 743)(728, 729, 754)(730, 738, 740)(733, 755, 751)(741, 753, 756)
	L = (1, 379)(2, 380)(3, 381)(4, 382)(5, 383)(6, 384)(7, 385)(8, 386)(9, 387)(10, 388)(11, 389)(12, 390)(13, 391)(14, 392)(15, 393)(16, 394)(17, 395)(18, 396)(19, 397)(20, 398)(21, 399)(22, 400)(23, 401)(24, 402)(25, 403)(26, 404)(27, 405)(28, 406)(29, 407)(30, 408)(31, 409)(32, 410)(33, 411)(34, 412)(35, 413)(36, 414)(37, 415)(38, 416)(39, 417)(40, 418)(41, 419)(42, 420)(43, 421)(44, 422)(45, 423)(46, 424)(47, 425)(48, 426)(49, 427)(50, 428)(51, 429)(52, 430)(53, 431)(54, 432)(55, 433)(56, 434)(57, 435)(58, 436)(59, 437)(60, 438)(61, 439)(62, 440)(63, 441)(64, 442)(65, 443)(66, 444)(67, 445)(68, 446)(69, 447)(70, 448)(71, 449)(72, 450)(73, 451)(74, 452)(75, 453)(76, 454)(77, 455)(78, 456)(79, 457)(80, 458)(81, 459)(82, 460)(83, 461)(84, 462)(85, 463)(86, 464)(87, 465)(88, 466)(89, 467)(90, 468)(91, 469)(92, 470)(93, 471)(94, 472)(95, 473)(96, 474)(97, 475)(98, 476)(99, 477)(100, 478)(101, 479)(102, 480)(103, 481)(104, 482)(105, 483)(106, 484)(107, 485)(108, 486)(109, 487)(110, 488)(111, 489)(112, 490)(113, 491)(114, 492)(115, 493)(116, 494)(117, 495)(118, 496)(119, 497)(120, 498)(121, 499)(122, 500)(123, 501)(124, 502)(125, 503)(126, 504)(127, 505)(128, 506)(129, 507)(130, 508)(131, 509)(132, 510)(133, 511)(134, 512)(135, 513)(136, 514)(137, 515)(138, 516)(139, 517)(140, 518)(141, 519)(142, 520)(143, 521)(144, 522)(145, 523)(146, 524)(147, 525)(148, 526)(149, 527)(150, 528)(151, 529)(152, 530)(153, 531)(154, 532)(155, 533)(156, 534)(157, 535)(158, 536)(159, 537)(160, 538)(161, 539)(162, 540)(163, 541)(164, 542)(165, 543)(166, 544)(167, 545)(168, 546)(169, 547)(170, 548)(171, 549)(172, 550)(173, 551)(174, 552)(175, 553)(176, 554)(177, 555)(178, 556)(179, 557)(180, 558)(181, 559)(182, 560)(183, 561)(184, 562)(185, 563)(186, 564)(187, 565)(188, 566)(189, 567)(190, 568)(191, 569)(192, 570)(193, 571)(194, 572)(195, 573)(196, 574)(197, 575)(198, 576)(199, 577)(200, 578)(201, 579)(202, 580)(203, 581)(204, 582)(205, 583)(206, 584)(207, 585)(208, 586)(209, 587)(210, 588)(211, 589)(212, 590)(213, 591)(214, 592)(215, 593)(216, 594)(217, 595)(218, 596)(219, 597)(220, 598)(221, 599)(222, 600)(223, 601)(224, 602)(225, 603)(226, 604)(227, 605)(228, 606)(229, 607)(230, 608)(231, 609)(232, 610)(233, 611)(234, 612)(235, 613)(236, 614)(237, 615)(238, 616)(239, 617)(240, 618)(241, 619)(242, 620)(243, 621)(244, 622)(245, 623)(246, 624)(247, 625)(248, 626)(249, 627)(250, 628)(251, 629)(252, 630)(253, 631)(254, 632)(255, 633)(256, 634)(257, 635)(258, 636)(259, 637)(260, 638)(261, 639)(262, 640)(263, 641)(264, 642)(265, 643)(266, 644)(267, 645)(268, 646)(269, 647)(270, 648)(271, 649)(272, 650)(273, 651)(274, 652)(275, 653)(276, 654)(277, 655)(278, 656)(279, 657)(280, 658)(281, 659)(282, 660)(283, 661)(284, 662)(285, 663)(286, 664)(287, 665)(288, 666)(289, 667)(290, 668)(291, 669)(292, 670)(293, 671)(294, 672)(295, 673)(296, 674)(297, 675)(298, 676)(299, 677)(300, 678)(301, 679)(302, 680)(303, 681)(304, 682)(305, 683)(306, 684)(307, 685)(308, 686)(309, 687)(310, 688)(311, 689)(312, 690)(313, 691)(314, 692)(315, 693)(316, 694)(317, 695)(318, 696)(319, 697)(320, 698)(321, 699)(322, 700)(323, 701)(324, 702)(325, 703)(326, 704)(327, 705)(328, 706)(329, 707)(330, 708)(331, 709)(332, 710)(333, 711)(334, 712)(335, 713)(336, 714)(337, 715)(338, 716)(339, 717)(340, 718)(341, 719)(342, 720)(343, 721)(344, 722)(345, 723)(346, 724)(347, 725)(348, 726)(349, 727)(350, 728)(351, 729)(352, 730)(353, 731)(354, 732)(355, 733)(356, 734)(357, 735)(358, 736)(359, 737)(360, 738)(361, 739)(362, 740)(363, 741)(364, 742)(365, 743)(366, 744)(367, 745)(368, 746)(369, 747)(370, 748)(371, 749)(372, 750)(373, 751)(374, 752)(375, 753)(376, 754)(377, 755)(378, 756)
	local type(s) :: { ( 84, 84 ), ( 84^3 ) }
Outer automorphisms :: reflexible
Dual of E28.2951
Graph:: simple bipartite
	v = 315 e = 378 f = 9
	degree seq :: [ 2^189, 3^126 ]

E28.2951 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 21})
Quotient :: loop^2
Aut^+ = (C21 x C3) : C3 (small group id <189, 8>)
Aut   = ((C21 x C3) : C3) : C2 (small group id <378, 22>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3, Y1^-1 * Y3^-1 * Y2^-1, R * Y2 * R * Y1, (R * Y3)^2, Y1 * Y3 * Y1^-1 * Y2^-1 * Y1 * Y2^-1, Y3 * Y2 * Y1^-1 * Y2^-1 * Y3 * Y2^-1, Y3^3 * Y2 * Y1 * Y3^-3 * Y1^-1 * Y2^-1, Y1 * Y3^6 * Y2 * Y3^-2 ]
Map::
	R = (1, 190, 379, 568, 4, 193, 382, 571, 15, 204, 393, 582, 40, 229, 418, 607, 83, 272, 461, 650, 144, 333, 522, 711, 94, 283, 472, 661, 122, 311, 500, 689, 124, 313, 502, 691, 126, 315, 504, 693, 164, 353, 542, 731, 112, 301, 490, 679, 114, 303, 492, 681, 117, 306, 495, 684, 119, 308, 497, 686, 77, 266, 455, 644, 134, 323, 512, 701, 109, 298, 487, 676, 57, 246, 435, 624, 23, 212, 401, 590, 7, 196, 385, 574)(2, 191, 380, 569, 8, 197, 386, 575, 25, 214, 403, 592, 60, 249, 438, 627, 113, 302, 491, 680, 86, 275, 464, 653, 42, 231, 420, 609, 72, 261, 450, 639, 75, 264, 453, 642, 78, 267, 456, 645, 136, 325, 514, 703, 155, 344, 533, 722, 157, 346, 535, 724, 159, 348, 537, 726, 161, 350, 539, 728, 107, 296, 485, 674, 169, 358, 547, 736, 127, 316, 505, 694, 70, 259, 448, 637, 31, 220, 409, 598, 10, 199, 388, 577)(3, 192, 381, 570, 5, 194, 383, 572, 18, 207, 396, 585, 45, 234, 423, 612, 92, 281, 470, 659, 156, 345, 534, 723, 116, 305, 494, 683, 62, 251, 440, 629, 102, 291, 480, 669, 105, 294, 483, 672, 108, 297, 486, 675, 142, 331, 520, 709, 82, 271, 460, 649, 84, 273, 462, 651, 87, 276, 465, 654, 98, 287, 476, 665, 125, 314, 503, 692, 139, 328, 517, 706, 79, 268, 457, 646, 37, 226, 415, 604, 13, 202, 391, 580)(6, 195, 384, 573, 12, 201, 390, 579, 34, 223, 412, 601, 73, 262, 451, 640, 130, 319, 508, 697, 147, 336, 525, 714, 85, 274, 463, 652, 129, 318, 507, 696, 132, 321, 510, 699, 135, 324, 513, 702, 138, 327, 516, 705, 154, 343, 532, 721, 91, 280, 469, 658, 93, 282, 471, 660, 96, 285, 474, 663, 55, 244, 433, 622, 104, 293, 482, 671, 165, 354, 543, 732, 100, 289, 478, 667, 51, 240, 429, 618, 20, 209, 398, 587)(9, 198, 387, 576, 22, 211, 400, 589, 54, 243, 432, 621, 103, 292, 481, 670, 167, 356, 545, 734, 175, 364, 553, 742, 115, 304, 493, 682, 166, 355, 544, 733, 168, 357, 546, 735, 170, 359, 548, 737, 141, 330, 519, 708, 81, 270, 459, 648, 39, 228, 417, 606, 41, 230, 419, 608, 49, 238, 427, 616, 68, 257, 446, 635, 123, 312, 501, 690, 180, 369, 558, 747, 120, 309, 498, 687, 65, 254, 443, 632, 28, 217, 406, 595)(11, 200, 389, 578, 32, 221, 410, 599, 71, 260, 449, 638, 128, 317, 506, 695, 160, 349, 538, 727, 95, 284, 473, 662, 47, 236, 425, 614, 67, 256, 445, 634, 69, 258, 447, 636, 99, 288, 477, 666, 151, 340, 529, 718, 174, 363, 552, 741, 176, 365, 554, 743, 177, 366, 555, 744, 179, 368, 557, 746, 137, 326, 515, 704, 172, 361, 550, 739, 110, 299, 488, 677, 58, 247, 436, 625, 24, 213, 402, 591, 26, 215, 404, 593)(14, 203, 392, 581, 16, 205, 394, 583, 29, 218, 407, 596, 66, 255, 444, 633, 121, 310, 499, 688, 178, 367, 556, 745, 118, 307, 496, 685, 63, 252, 441, 630, 27, 216, 405, 594, 53, 242, 431, 620, 56, 245, 434, 623, 106, 295, 484, 673, 143, 332, 521, 710, 145, 334, 523, 712, 148, 337, 526, 715, 150, 339, 528, 717, 163, 352, 541, 730, 184, 373, 562, 751, 140, 329, 518, 707, 80, 269, 458, 647, 38, 227, 416, 605)(17, 206, 395, 584, 33, 222, 411, 600, 36, 225, 414, 603, 76, 265, 454, 643, 133, 322, 511, 700, 187, 376, 565, 754, 146, 335, 524, 713, 185, 374, 563, 752, 186, 375, 564, 753, 171, 360, 549, 738, 188, 377, 566, 755, 153, 342, 531, 720, 90, 279, 468, 657, 44, 233, 422, 611, 46, 235, 424, 613, 21, 210, 399, 588, 52, 241, 430, 619, 101, 290, 479, 668, 152, 341, 530, 719, 89, 278, 467, 656, 43, 232, 421, 610)(19, 208, 397, 586, 30, 219, 408, 597, 50, 239, 428, 617, 88, 277, 466, 655, 149, 338, 527, 716, 189, 378, 567, 756, 158, 347, 536, 725, 181, 370, 559, 748, 182, 371, 560, 749, 183, 372, 561, 750, 173, 362, 551, 740, 111, 300, 489, 678, 59, 248, 437, 626, 61, 250, 439, 628, 64, 253, 442, 631, 35, 224, 413, 602, 74, 263, 452, 641, 131, 320, 509, 698, 162, 351, 540, 729, 97, 286, 475, 664, 48, 237, 426, 615)
	L = (1, 191)(2, 194)(3, 200)(4, 195)(5, 190)(6, 205)(7, 210)(8, 198)(9, 215)(10, 218)(11, 201)(12, 192)(13, 224)(14, 221)(15, 206)(16, 193)(17, 230)(18, 208)(19, 235)(20, 238)(21, 211)(22, 196)(23, 244)(24, 241)(25, 216)(26, 197)(27, 250)(28, 253)(29, 219)(30, 199)(31, 257)(32, 222)(33, 203)(34, 217)(35, 225)(36, 202)(37, 266)(38, 263)(39, 260)(40, 231)(41, 204)(42, 273)(43, 276)(44, 255)(45, 236)(46, 207)(47, 282)(48, 285)(49, 239)(50, 209)(51, 287)(52, 242)(53, 213)(54, 237)(55, 245)(56, 212)(57, 296)(58, 293)(59, 290)(60, 251)(61, 214)(62, 303)(63, 306)(64, 223)(65, 308)(66, 256)(67, 233)(68, 258)(69, 220)(70, 314)(71, 261)(72, 228)(73, 252)(74, 264)(75, 227)(76, 254)(77, 267)(78, 226)(79, 326)(80, 323)(81, 320)(82, 317)(83, 274)(84, 229)(85, 334)(86, 337)(87, 277)(88, 232)(89, 339)(90, 312)(91, 310)(92, 283)(93, 234)(94, 346)(95, 348)(96, 243)(97, 350)(98, 288)(99, 240)(100, 352)(101, 291)(102, 248)(103, 284)(104, 294)(105, 247)(106, 286)(107, 297)(108, 246)(109, 360)(110, 358)(111, 354)(112, 341)(113, 304)(114, 249)(115, 363)(116, 365)(117, 262)(118, 366)(119, 265)(120, 368)(121, 311)(122, 280)(123, 313)(124, 279)(125, 315)(126, 259)(127, 373)(128, 318)(129, 271)(130, 305)(131, 321)(132, 270)(133, 307)(134, 324)(135, 269)(136, 309)(137, 327)(138, 268)(139, 372)(140, 361)(141, 298)(142, 351)(143, 349)(144, 335)(145, 272)(146, 356)(147, 364)(148, 338)(149, 275)(150, 340)(151, 278)(152, 355)(153, 328)(154, 369)(155, 367)(156, 347)(157, 281)(158, 376)(159, 292)(160, 374)(161, 295)(162, 375)(163, 353)(164, 289)(165, 357)(166, 301)(167, 333)(168, 300)(169, 359)(170, 299)(171, 330)(172, 377)(173, 316)(174, 302)(175, 378)(176, 319)(177, 322)(178, 370)(179, 325)(180, 371)(181, 344)(182, 343)(183, 342)(184, 362)(185, 332)(186, 331)(187, 345)(188, 329)(189, 336)(379, 570)(380, 574)(381, 573)(382, 581)(383, 577)(384, 568)(385, 576)(386, 591)(387, 569)(388, 586)(389, 580)(390, 593)(391, 600)(392, 584)(393, 606)(394, 587)(395, 571)(396, 611)(397, 572)(398, 597)(399, 590)(400, 613)(401, 620)(402, 594)(403, 626)(404, 595)(405, 575)(406, 579)(407, 598)(408, 583)(409, 634)(410, 605)(411, 578)(412, 628)(413, 604)(414, 631)(415, 642)(416, 639)(417, 609)(418, 649)(419, 610)(420, 582)(421, 617)(422, 614)(423, 658)(424, 615)(425, 585)(426, 589)(427, 618)(428, 608)(429, 636)(430, 625)(431, 588)(432, 660)(433, 624)(434, 663)(435, 672)(436, 669)(437, 629)(438, 679)(439, 630)(440, 592)(441, 601)(442, 632)(443, 603)(444, 657)(445, 596)(446, 637)(447, 616)(448, 691)(449, 648)(450, 599)(451, 681)(452, 647)(453, 602)(454, 684)(455, 646)(456, 686)(457, 702)(458, 699)(459, 696)(460, 652)(461, 710)(462, 653)(463, 607)(464, 655)(465, 656)(466, 651)(467, 666)(468, 689)(469, 661)(470, 722)(471, 662)(472, 612)(473, 621)(474, 664)(475, 623)(476, 667)(477, 654)(478, 693)(479, 678)(480, 619)(481, 724)(482, 677)(483, 622)(484, 726)(485, 676)(486, 728)(487, 737)(488, 735)(489, 733)(490, 682)(491, 718)(492, 683)(493, 627)(494, 640)(495, 685)(496, 643)(497, 687)(498, 645)(499, 721)(500, 633)(501, 720)(502, 635)(503, 694)(504, 665)(505, 750)(506, 709)(507, 638)(508, 741)(509, 708)(510, 641)(511, 743)(512, 707)(513, 644)(514, 744)(515, 706)(516, 746)(517, 755)(518, 738)(519, 753)(520, 752)(521, 713)(522, 670)(523, 714)(524, 650)(525, 716)(526, 680)(527, 712)(528, 719)(529, 715)(530, 731)(531, 749)(532, 748)(533, 725)(534, 700)(535, 711)(536, 659)(537, 727)(538, 673)(539, 729)(540, 675)(541, 732)(542, 717)(543, 740)(544, 668)(545, 754)(546, 671)(547, 739)(548, 674)(549, 701)(550, 751)(551, 730)(552, 742)(553, 697)(554, 723)(555, 745)(556, 703)(557, 747)(558, 705)(559, 688)(560, 690)(561, 692)(562, 736)(563, 695)(564, 698)(565, 756)(566, 704)(567, 734)
	local type(s) :: { ( 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3 ) }
Outer automorphisms :: reflexible
Dual of E28.2950
Transitivity :: VT+
Graph::
	v = 9 e = 378 f = 315
	degree seq :: [ 84^9 ]

E28.2952 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 21})
Quotient :: loop^2
Aut^+ = (C21 x C3) : C3 (small group id <189, 8>)
Aut   = ((C21 x C3) : C3) : C2 (small group id <378, 22>)
|r| :: 2
Presentation :: [ Y3, R^2, Y2^3, Y1^3, (R * Y3)^2, R * Y1 * R * Y2, (Y1^-1 * Y2)^3, (Y1^-1 * Y2 * Y1^-1 * Y2^-1)^3, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y1^-1 * Y3^-1 * Y2^-1)^21 ]
Map:: polytopal non-degenerate
	R = (1, 190, 379, 568)(2, 191, 380, 569)(3, 192, 381, 570)(4, 193, 382, 571)(5, 194, 383, 572)(6, 195, 384, 573)(7, 196, 385, 574)(8, 197, 386, 575)(9, 198, 387, 576)(10, 199, 388, 577)(11, 200, 389, 578)(12, 201, 390, 579)(13, 202, 391, 580)(14, 203, 392, 581)(15, 204, 393, 582)(16, 205, 394, 583)(17, 206, 395, 584)(18, 207, 396, 585)(19, 208, 397, 586)(20, 209, 398, 587)(21, 210, 399, 588)(22, 211, 400, 589)(23, 212, 401, 590)(24, 213, 402, 591)(25, 214, 403, 592)(26, 215, 404, 593)(27, 216, 405, 594)(28, 217, 406, 595)(29, 218, 407, 596)(30, 219, 408, 597)(31, 220, 409, 598)(32, 221, 410, 599)(33, 222, 411, 600)(34, 223, 412, 601)(35, 224, 413, 602)(36, 225, 414, 603)(37, 226, 415, 604)(38, 227, 416, 605)(39, 228, 417, 606)(40, 229, 418, 607)(41, 230, 419, 608)(42, 231, 420, 609)(43, 232, 421, 610)(44, 233, 422, 611)(45, 234, 423, 612)(46, 235, 424, 613)(47, 236, 425, 614)(48, 237, 426, 615)(49, 238, 427, 616)(50, 239, 428, 617)(51, 240, 429, 618)(52, 241, 430, 619)(53, 242, 431, 620)(54, 243, 432, 621)(55, 244, 433, 622)(56, 245, 434, 623)(57, 246, 435, 624)(58, 247, 436, 625)(59, 248, 437, 626)(60, 249, 438, 627)(61, 250, 439, 628)(62, 251, 440, 629)(63, 252, 441, 630)(64, 253, 442, 631)(65, 254, 443, 632)(66, 255, 444, 633)(67, 256, 445, 634)(68, 257, 446, 635)(69, 258, 447, 636)(70, 259, 448, 637)(71, 260, 449, 638)(72, 261, 450, 639)(73, 262, 451, 640)(74, 263, 452, 641)(75, 264, 453, 642)(76, 265, 454, 643)(77, 266, 455, 644)(78, 267, 456, 645)(79, 268, 457, 646)(80, 269, 458, 647)(81, 270, 459, 648)(82, 271, 460, 649)(83, 272, 461, 650)(84, 273, 462, 651)(85, 274, 463, 652)(86, 275, 464, 653)(87, 276, 465, 654)(88, 277, 466, 655)(89, 278, 467, 656)(90, 279, 468, 657)(91, 280, 469, 658)(92, 281, 470, 659)(93, 282, 471, 660)(94, 283, 472, 661)(95, 284, 473, 662)(96, 285, 474, 663)(97, 286, 475, 664)(98, 287, 476, 665)(99, 288, 477, 666)(100, 289, 478, 667)(101, 290, 479, 668)(102, 291, 480, 669)(103, 292, 481, 670)(104, 293, 482, 671)(105, 294, 483, 672)(106, 295, 484, 673)(107, 296, 485, 674)(108, 297, 486, 675)(109, 298, 487, 676)(110, 299, 488, 677)(111, 300, 489, 678)(112, 301, 490, 679)(113, 302, 491, 680)(114, 303, 492, 681)(115, 304, 493, 682)(116, 305, 494, 683)(117, 306, 495, 684)(118, 307, 496, 685)(119, 308, 497, 686)(120, 309, 498, 687)(121, 310, 499, 688)(122, 311, 500, 689)(123, 312, 501, 690)(124, 313, 502, 691)(125, 314, 503, 692)(126, 315, 504, 693)(127, 316, 505, 694)(128, 317, 506, 695)(129, 318, 507, 696)(130, 319, 508, 697)(131, 320, 509, 698)(132, 321, 510, 699)(133, 322, 511, 700)(134, 323, 512, 701)(135, 324, 513, 702)(136, 325, 514, 703)(137, 326, 515, 704)(138, 327, 516, 705)(139, 328, 517, 706)(140, 329, 518, 707)(141, 330, 519, 708)(142, 331, 520, 709)(143, 332, 521, 710)(144, 333, 522, 711)(145, 334, 523, 712)(146, 335, 524, 713)(147, 336, 525, 714)(148, 337, 526, 715)(149, 338, 527, 716)(150, 339, 528, 717)(151, 340, 529, 718)(152, 341, 530, 719)(153, 342, 531, 720)(154, 343, 532, 721)(155, 344, 533, 722)(156, 345, 534, 723)(157, 346, 535, 724)(158, 347, 536, 725)(159, 348, 537, 726)(160, 349, 538, 727)(161, 350, 539, 728)(162, 351, 540, 729)(163, 352, 541, 730)(164, 353, 542, 731)(165, 354, 543, 732)(166, 355, 544, 733)(167, 356, 545, 734)(168, 357, 546, 735)(169, 358, 547, 736)(170, 359, 548, 737)(171, 360, 549, 738)(172, 361, 550, 739)(173, 362, 551, 740)(174, 363, 552, 741)(175, 364, 553, 742)(176, 365, 554, 743)(177, 366, 555, 744)(178, 367, 556, 745)(179, 368, 557, 746)(180, 369, 558, 747)(181, 370, 559, 748)(182, 371, 560, 749)(183, 372, 561, 750)(184, 373, 562, 751)(185, 374, 563, 752)(186, 375, 564, 753)(187, 376, 565, 754)(188, 377, 566, 755)(189, 378, 567, 756)
	L = (1, 191)(2, 193)(3, 197)(4, 190)(5, 201)(6, 203)(7, 205)(8, 198)(9, 192)(10, 210)(11, 212)(12, 202)(13, 194)(14, 204)(15, 195)(16, 206)(17, 196)(18, 222)(19, 215)(20, 225)(21, 211)(22, 199)(23, 213)(24, 200)(25, 231)(26, 224)(27, 233)(28, 235)(29, 220)(30, 238)(31, 237)(32, 240)(33, 223)(34, 207)(35, 208)(36, 226)(37, 209)(38, 248)(39, 229)(40, 250)(41, 251)(42, 232)(43, 214)(44, 234)(45, 216)(46, 236)(47, 217)(48, 218)(49, 239)(50, 219)(51, 241)(52, 221)(53, 265)(54, 245)(55, 268)(56, 267)(57, 255)(58, 271)(59, 249)(60, 227)(61, 228)(62, 252)(63, 230)(64, 279)(65, 281)(66, 270)(67, 283)(68, 285)(69, 260)(70, 288)(71, 287)(72, 263)(73, 291)(74, 290)(75, 293)(76, 266)(77, 242)(78, 243)(79, 269)(80, 244)(81, 246)(82, 272)(83, 247)(84, 304)(85, 275)(86, 306)(87, 277)(88, 307)(89, 308)(90, 280)(91, 253)(92, 282)(93, 254)(94, 284)(95, 256)(96, 286)(97, 257)(98, 258)(99, 289)(100, 259)(101, 261)(102, 292)(103, 262)(104, 294)(105, 264)(106, 326)(107, 298)(108, 329)(109, 328)(110, 301)(111, 332)(112, 331)(113, 313)(114, 335)(115, 305)(116, 273)(117, 274)(118, 276)(119, 309)(120, 278)(121, 345)(122, 347)(123, 349)(124, 334)(125, 351)(126, 353)(127, 318)(128, 356)(129, 355)(130, 321)(131, 359)(132, 358)(133, 324)(134, 362)(135, 361)(136, 364)(137, 327)(138, 295)(139, 296)(140, 330)(141, 297)(142, 299)(143, 333)(144, 300)(145, 302)(146, 336)(147, 303)(148, 373)(149, 339)(150, 366)(151, 341)(152, 368)(153, 343)(154, 370)(155, 375)(156, 346)(157, 310)(158, 348)(159, 311)(160, 350)(161, 312)(162, 352)(163, 314)(164, 354)(165, 315)(166, 316)(167, 357)(168, 317)(169, 319)(170, 360)(171, 320)(172, 322)(173, 363)(174, 323)(175, 365)(176, 325)(177, 338)(178, 369)(179, 340)(180, 377)(181, 342)(182, 344)(183, 378)(184, 374)(185, 337)(186, 371)(187, 372)(188, 367)(189, 376)(379, 570)(380, 573)(381, 572)(382, 577)(383, 568)(384, 574)(385, 569)(386, 585)(387, 583)(388, 578)(389, 571)(390, 592)(391, 593)(392, 595)(393, 590)(394, 587)(395, 598)(396, 586)(397, 575)(398, 576)(399, 605)(400, 579)(401, 597)(402, 607)(403, 589)(404, 594)(405, 580)(406, 596)(407, 581)(408, 582)(409, 599)(410, 584)(411, 620)(412, 603)(413, 623)(414, 622)(415, 618)(416, 606)(417, 588)(418, 608)(419, 591)(420, 631)(421, 611)(422, 632)(423, 633)(424, 635)(425, 616)(426, 638)(427, 637)(428, 629)(429, 625)(430, 641)(431, 621)(432, 600)(433, 601)(434, 624)(435, 602)(436, 604)(437, 651)(438, 609)(439, 653)(440, 640)(441, 655)(442, 627)(443, 610)(444, 634)(445, 612)(446, 636)(447, 613)(448, 614)(449, 639)(450, 615)(451, 617)(452, 642)(453, 619)(454, 673)(455, 646)(456, 676)(457, 675)(458, 649)(459, 679)(460, 678)(461, 671)(462, 652)(463, 626)(464, 654)(465, 628)(466, 656)(467, 630)(468, 688)(469, 659)(470, 689)(471, 661)(472, 690)(473, 691)(474, 693)(475, 666)(476, 696)(477, 695)(478, 669)(479, 699)(480, 698)(481, 686)(482, 681)(483, 702)(484, 674)(485, 643)(486, 644)(487, 677)(488, 645)(489, 647)(490, 680)(491, 648)(492, 650)(493, 715)(494, 657)(495, 717)(496, 719)(497, 701)(498, 721)(499, 683)(500, 658)(501, 660)(502, 692)(503, 662)(504, 694)(505, 663)(506, 664)(507, 697)(508, 665)(509, 667)(510, 700)(511, 668)(512, 670)(513, 703)(514, 672)(515, 744)(516, 707)(517, 747)(518, 746)(519, 710)(520, 732)(521, 748)(522, 713)(523, 735)(524, 749)(525, 742)(526, 716)(527, 682)(528, 718)(529, 684)(530, 720)(531, 685)(532, 722)(533, 687)(534, 736)(535, 725)(536, 739)(537, 727)(538, 743)(539, 729)(540, 754)(541, 738)(542, 706)(543, 734)(544, 755)(545, 709)(546, 737)(547, 752)(548, 712)(549, 740)(550, 724)(551, 730)(552, 753)(553, 750)(554, 726)(555, 745)(556, 704)(557, 705)(558, 731)(559, 708)(560, 711)(561, 714)(562, 733)(563, 723)(564, 756)(565, 728)(566, 751)(567, 741)
	local type(s) :: { ( 3, 42, 3, 42 ) }
Outer automorphisms :: reflexible
Dual of E28.2949
Transitivity :: VT+
Graph:: simple
	v = 189 e = 378 f = 135
	degree seq :: [ 4^189 ]

E28.2953 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = ((C2 x C2) : C27) : C2 (small group id <216, 21>)
Aut   = $<432, 224>$ (small group id <432, 224>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (Y3 * Y2)^2, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1 * Y2, (Y2 * Y1)^27 ]
Map:: polytopal non-degenerate
	R = (1, 218, 2, 217)(3, 223, 7, 219)(4, 225, 9, 220)(5, 226, 10, 221)(6, 228, 12, 222)(8, 231, 15, 224)(11, 236, 20, 227)(13, 239, 23, 229)(14, 241, 25, 230)(16, 244, 28, 232)(17, 246, 30, 233)(18, 247, 31, 234)(19, 249, 33, 235)(21, 252, 36, 237)(22, 254, 38, 238)(24, 251, 35, 240)(26, 253, 37, 242)(27, 248, 32, 243)(29, 250, 34, 245)(39, 265, 49, 255)(40, 266, 50, 256)(41, 267, 51, 257)(42, 268, 52, 258)(43, 264, 48, 259)(44, 269, 53, 260)(45, 270, 54, 261)(46, 271, 55, 262)(47, 272, 56, 263)(57, 281, 65, 273)(58, 282, 66, 274)(59, 283, 67, 275)(60, 284, 68, 276)(61, 285, 69, 277)(62, 286, 70, 278)(63, 287, 71, 279)(64, 288, 72, 280)(73, 316, 100, 289)(74, 293, 77, 290)(75, 302, 86, 291)(76, 296, 80, 292)(78, 330, 114, 294)(79, 343, 127, 295)(81, 337, 121, 297)(82, 350, 134, 298)(83, 333, 117, 299)(84, 340, 124, 300)(85, 332, 116, 301)(87, 359, 143, 303)(88, 338, 122, 304)(89, 344, 128, 305)(90, 363, 147, 306)(91, 347, 131, 307)(92, 345, 129, 308)(93, 371, 155, 309)(94, 341, 125, 310)(95, 351, 135, 311)(96, 375, 159, 312)(97, 354, 138, 313)(98, 352, 136, 314)(99, 329, 113, 315)(101, 367, 151, 317)(102, 360, 144, 318)(103, 366, 150, 319)(104, 361, 145, 320)(105, 379, 163, 321)(106, 372, 156, 322)(107, 378, 162, 323)(108, 373, 157, 324)(109, 390, 174, 325)(110, 385, 169, 326)(111, 389, 173, 327)(112, 386, 170, 328)(115, 398, 182, 331)(118, 393, 177, 334)(119, 397, 181, 335)(120, 394, 178, 336)(123, 401, 185, 339)(126, 409, 193, 342)(130, 419, 203, 346)(132, 402, 186, 348)(133, 418, 202, 349)(137, 423, 207, 353)(139, 411, 195, 355)(140, 422, 206, 356)(141, 413, 197, 357)(142, 405, 189, 358)(146, 427, 211, 362)(148, 417, 201, 364)(149, 424, 208, 365)(152, 429, 213, 368)(153, 425, 209, 369)(154, 426, 210, 370)(158, 432, 216, 374)(160, 421, 205, 376)(161, 420, 204, 377)(164, 428, 212, 380)(165, 430, 214, 381)(166, 431, 215, 382)(167, 410, 194, 383)(168, 406, 190, 384)(171, 412, 196, 387)(172, 414, 198, 388)(175, 416, 200, 391)(176, 415, 199, 392)(179, 403, 187, 395)(180, 404, 188, 396)(183, 408, 192, 399)(184, 407, 191, 400)
	L = (1, 3)(2, 5)(4, 8)(6, 11)(7, 13)(9, 16)(10, 18)(12, 21)(14, 24)(15, 26)(17, 29)(19, 32)(20, 34)(22, 37)(23, 39)(25, 41)(27, 43)(28, 42)(30, 40)(31, 44)(33, 46)(35, 48)(36, 47)(38, 45)(49, 57)(50, 59)(51, 60)(52, 58)(53, 61)(54, 63)(55, 64)(56, 62)(65, 73)(66, 75)(67, 76)(68, 74)(69, 113)(70, 116)(71, 117)(72, 114)(77, 121)(78, 124)(79, 128)(80, 127)(81, 129)(82, 135)(83, 134)(84, 136)(85, 125)(86, 122)(87, 144)(88, 143)(89, 145)(90, 150)(91, 147)(92, 151)(93, 156)(94, 155)(95, 157)(96, 162)(97, 159)(98, 163)(99, 138)(100, 131)(101, 169)(102, 170)(103, 173)(104, 174)(105, 177)(106, 178)(107, 181)(108, 182)(109, 185)(110, 186)(111, 189)(112, 190)(115, 193)(118, 195)(119, 197)(120, 194)(123, 201)(126, 205)(130, 210)(132, 209)(133, 208)(137, 215)(139, 214)(140, 204)(141, 206)(142, 202)(146, 199)(148, 213)(149, 198)(152, 196)(153, 211)(154, 200)(158, 191)(160, 212)(161, 188)(164, 187)(165, 216)(166, 192)(167, 207)(168, 203)(171, 183)(172, 180)(175, 179)(176, 184)(217, 220)(218, 222)(219, 224)(221, 227)(223, 230)(225, 233)(226, 235)(228, 238)(229, 240)(231, 243)(232, 245)(234, 248)(236, 251)(237, 253)(239, 256)(241, 258)(242, 259)(244, 257)(246, 255)(247, 261)(249, 263)(250, 264)(252, 262)(254, 260)(265, 274)(266, 276)(267, 275)(268, 273)(269, 278)(270, 280)(271, 279)(272, 277)(281, 290)(282, 292)(283, 291)(284, 289)(285, 330)(286, 333)(287, 332)(288, 329)(293, 338)(294, 341)(295, 345)(296, 347)(297, 344)(298, 352)(299, 354)(300, 351)(301, 340)(302, 337)(303, 361)(304, 363)(305, 360)(306, 367)(307, 359)(308, 366)(309, 373)(310, 375)(311, 372)(312, 379)(313, 371)(314, 378)(315, 350)(316, 343)(317, 386)(318, 385)(319, 390)(320, 389)(321, 394)(322, 393)(323, 398)(324, 397)(325, 402)(326, 401)(327, 406)(328, 405)(331, 411)(334, 409)(335, 410)(336, 413)(339, 419)(342, 423)(346, 427)(348, 418)(349, 429)(353, 432)(355, 422)(356, 428)(357, 430)(358, 425)(362, 412)(364, 424)(365, 416)(368, 415)(369, 426)(370, 414)(374, 403)(376, 420)(377, 408)(380, 407)(381, 431)(382, 404)(383, 421)(384, 417)(387, 395)(388, 400)(391, 399)(392, 396)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E28.2954
Transitivity :: VT+ AT
Graph:: simple
	v = 108 e = 216 f = 54
	degree seq :: [ 4^108 ]

E28.2954 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = ((C2 x C2) : C27) : C2 (small group id <216, 21>)
Aut   = $<432, 224>$ (small group id <432, 224>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y2 * Y3)^2, R * Y3 * R * Y2, (R * Y1)^2, Y1^4, (Y2 * Y1^-1 * Y3)^2, Y1^-1 * Y3 * Y1^-2 * Y2 * Y1^-1, Y2 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 218, 2, 222, 6, 221, 5, 217)(3, 225, 9, 233, 17, 227, 11, 219)(4, 228, 12, 232, 16, 229, 13, 220)(7, 234, 18, 231, 15, 236, 20, 223)(8, 237, 21, 230, 14, 238, 22, 224)(10, 241, 25, 244, 28, 235, 19, 226)(23, 249, 33, 243, 27, 250, 34, 239)(24, 251, 35, 242, 26, 252, 36, 240)(29, 253, 37, 248, 32, 254, 38, 245)(30, 255, 39, 247, 31, 256, 40, 246)(41, 265, 49, 260, 44, 266, 50, 257)(42, 267, 51, 259, 43, 268, 52, 258)(45, 269, 53, 264, 48, 270, 54, 261)(46, 271, 55, 263, 47, 272, 56, 262)(57, 281, 65, 276, 60, 282, 66, 273)(58, 283, 67, 275, 59, 284, 68, 274)(61, 285, 69, 280, 64, 286, 70, 277)(62, 287, 71, 279, 63, 288, 72, 278)(73, 298, 82, 292, 76, 293, 77, 289)(74, 308, 92, 291, 75, 296, 80, 290)(78, 329, 113, 303, 87, 333, 117, 294)(79, 330, 114, 307, 91, 332, 116, 295)(81, 347, 131, 301, 85, 338, 122, 297)(83, 346, 130, 300, 84, 337, 121, 299)(86, 344, 128, 306, 90, 341, 125, 302)(88, 343, 127, 305, 89, 340, 124, 304)(93, 354, 138, 312, 96, 350, 134, 309)(94, 353, 137, 311, 95, 349, 133, 310)(97, 363, 147, 316, 100, 359, 143, 313)(98, 362, 146, 315, 99, 358, 142, 314)(101, 373, 157, 320, 104, 370, 154, 317)(102, 372, 156, 319, 103, 369, 153, 318)(105, 381, 165, 324, 108, 378, 162, 321)(106, 380, 164, 323, 107, 377, 161, 322)(109, 389, 173, 328, 112, 386, 170, 325)(110, 388, 172, 327, 111, 385, 169, 326)(115, 397, 181, 336, 120, 394, 178, 331)(118, 396, 180, 335, 119, 393, 177, 334)(123, 404, 188, 368, 152, 401, 185, 339)(126, 413, 197, 367, 151, 409, 193, 342)(129, 411, 195, 361, 145, 410, 194, 345)(132, 402, 186, 352, 136, 405, 189, 348)(135, 417, 201, 356, 140, 427, 211, 351)(139, 418, 202, 357, 141, 419, 203, 355)(144, 421, 205, 365, 149, 425, 209, 360)(148, 422, 206, 366, 150, 423, 207, 364)(155, 429, 213, 375, 159, 431, 215, 371)(158, 424, 208, 376, 160, 426, 210, 374)(163, 430, 214, 383, 167, 432, 216, 379)(166, 428, 212, 384, 168, 420, 204, 382)(171, 412, 196, 391, 175, 415, 199, 387)(174, 416, 200, 392, 176, 414, 198, 390)(179, 408, 192, 399, 183, 406, 190, 395)(182, 403, 187, 400, 184, 407, 191, 398)
	L = (1, 3)(2, 7)(4, 10)(5, 14)(6, 16)(8, 19)(9, 23)(11, 26)(12, 27)(13, 24)(15, 25)(17, 28)(18, 29)(20, 31)(21, 32)(22, 30)(33, 41)(34, 43)(35, 44)(36, 42)(37, 45)(38, 47)(39, 48)(40, 46)(49, 57)(50, 59)(51, 60)(52, 58)(53, 61)(54, 63)(55, 64)(56, 62)(65, 73)(66, 75)(67, 76)(68, 74)(69, 113)(70, 116)(71, 117)(72, 114)(77, 121)(78, 124)(79, 127)(80, 130)(81, 133)(82, 131)(83, 137)(84, 134)(85, 138)(86, 142)(87, 128)(88, 146)(89, 143)(90, 147)(91, 125)(92, 122)(93, 153)(94, 156)(95, 154)(96, 157)(97, 161)(98, 164)(99, 162)(100, 165)(101, 169)(102, 172)(103, 170)(104, 173)(105, 177)(106, 180)(107, 178)(108, 181)(109, 185)(110, 188)(111, 186)(112, 189)(115, 193)(118, 197)(119, 195)(120, 194)(123, 201)(126, 205)(129, 207)(132, 203)(135, 213)(136, 211)(139, 210)(140, 208)(141, 215)(144, 214)(145, 209)(148, 204)(149, 212)(150, 216)(151, 206)(152, 202)(155, 196)(158, 198)(159, 200)(160, 199)(163, 192)(166, 191)(167, 187)(168, 190)(171, 184)(174, 183)(175, 179)(176, 182)(217, 220)(218, 224)(219, 226)(221, 231)(222, 233)(223, 235)(225, 240)(227, 243)(228, 242)(229, 239)(230, 241)(232, 244)(234, 246)(236, 248)(237, 247)(238, 245)(249, 258)(250, 260)(251, 259)(252, 257)(253, 262)(254, 264)(255, 263)(256, 261)(265, 274)(266, 276)(267, 275)(268, 273)(269, 278)(270, 280)(271, 279)(272, 277)(281, 290)(282, 292)(283, 291)(284, 289)(285, 330)(286, 333)(287, 332)(288, 329)(293, 338)(294, 341)(295, 344)(296, 347)(297, 350)(298, 346)(299, 354)(300, 349)(301, 353)(302, 359)(303, 343)(304, 363)(305, 358)(306, 362)(307, 340)(308, 337)(309, 370)(310, 373)(311, 369)(312, 372)(313, 378)(314, 381)(315, 377)(316, 380)(317, 386)(318, 389)(319, 385)(320, 388)(321, 394)(322, 397)(323, 393)(324, 396)(325, 402)(326, 405)(327, 401)(328, 404)(331, 411)(334, 410)(335, 409)(336, 413)(339, 419)(342, 423)(345, 421)(348, 417)(351, 426)(352, 418)(355, 429)(356, 431)(357, 424)(360, 420)(361, 422)(364, 430)(365, 432)(366, 428)(367, 425)(368, 427)(371, 414)(374, 412)(375, 415)(376, 416)(379, 407)(382, 408)(383, 406)(384, 403)(387, 399)(390, 400)(391, 398)(392, 395)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E28.2953
Transitivity :: VT+ AT
Graph::
	v = 54 e = 216 f = 108
	degree seq :: [ 8^54 ]

E28.2955 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = ((C2 x C2) : C27) : C2 (small group id <216, 21>)
Aut   = $<432, 224>$ (small group id <432, 224>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (Y2 * Y1)^2, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y3 * Y1, (Y3 * Y1)^27 ]
Map:: polytopal
	R = (1, 217, 4, 220)(2, 218, 6, 222)(3, 219, 7, 223)(5, 221, 10, 226)(8, 224, 16, 232)(9, 225, 17, 233)(11, 227, 21, 237)(12, 228, 22, 238)(13, 229, 24, 240)(14, 230, 25, 241)(15, 231, 26, 242)(18, 234, 32, 248)(19, 235, 33, 249)(20, 236, 34, 250)(23, 239, 39, 255)(27, 243, 40, 256)(28, 244, 41, 257)(29, 245, 42, 258)(30, 246, 43, 259)(31, 247, 44, 260)(35, 251, 45, 261)(36, 252, 46, 262)(37, 253, 47, 263)(38, 254, 48, 264)(49, 265, 57, 273)(50, 266, 58, 274)(51, 267, 59, 275)(52, 268, 60, 276)(53, 269, 61, 277)(54, 270, 62, 278)(55, 271, 63, 279)(56, 272, 64, 280)(65, 281, 73, 289)(66, 282, 74, 290)(67, 283, 75, 291)(68, 284, 76, 292)(69, 285, 117, 333)(70, 286, 118, 334)(71, 287, 119, 335)(72, 288, 120, 336)(77, 293, 125, 341)(78, 294, 126, 342)(79, 295, 127, 343)(80, 296, 130, 346)(81, 297, 131, 347)(82, 298, 134, 350)(83, 299, 135, 351)(84, 300, 136, 352)(85, 301, 137, 353)(86, 302, 139, 355)(87, 303, 140, 356)(88, 304, 141, 357)(89, 305, 143, 359)(90, 306, 144, 360)(91, 307, 142, 358)(92, 308, 145, 361)(93, 309, 146, 362)(94, 310, 133, 349)(95, 311, 138, 354)(96, 312, 147, 363)(97, 313, 148, 364)(98, 314, 129, 345)(99, 315, 128, 344)(100, 316, 149, 365)(101, 317, 150, 366)(102, 318, 151, 367)(103, 319, 152, 368)(104, 320, 132, 348)(105, 321, 153, 369)(106, 322, 154, 370)(107, 323, 155, 371)(108, 324, 156, 372)(109, 325, 157, 373)(110, 326, 158, 374)(111, 327, 159, 375)(112, 328, 160, 376)(113, 329, 161, 377)(114, 330, 162, 378)(115, 331, 163, 379)(116, 332, 164, 380)(121, 337, 169, 385)(122, 338, 170, 386)(123, 339, 171, 387)(124, 340, 172, 388)(165, 381, 213, 429)(166, 382, 214, 430)(167, 383, 215, 431)(168, 384, 216, 432)(173, 389, 205, 421)(174, 390, 206, 422)(175, 391, 209, 425)(176, 392, 210, 426)(177, 393, 211, 427)(178, 394, 212, 428)(179, 395, 201, 417)(180, 396, 202, 418)(181, 397, 207, 423)(182, 398, 208, 424)(183, 399, 197, 413)(184, 400, 198, 414)(185, 401, 200, 416)(186, 402, 199, 415)(187, 403, 204, 420)(188, 404, 203, 419)(189, 405, 193, 409)(190, 406, 194, 410)(191, 407, 196, 412)(192, 408, 195, 411)(433, 434)(435, 437)(436, 440)(438, 443)(439, 445)(441, 447)(442, 450)(444, 452)(446, 455)(448, 459)(449, 461)(451, 463)(453, 467)(454, 469)(456, 470)(457, 468)(458, 471)(460, 465)(462, 464)(466, 476)(472, 481)(473, 483)(474, 484)(475, 482)(477, 485)(478, 487)(479, 488)(480, 486)(489, 497)(490, 499)(491, 500)(492, 498)(493, 501)(494, 503)(495, 504)(496, 502)(505, 530)(506, 511)(507, 531)(508, 510)(509, 552)(512, 560)(513, 550)(514, 564)(515, 565)(516, 561)(517, 558)(518, 570)(519, 568)(520, 557)(521, 574)(522, 567)(523, 563)(524, 573)(525, 566)(526, 549)(527, 559)(528, 569)(529, 562)(532, 579)(533, 572)(534, 580)(535, 571)(536, 551)(537, 577)(538, 576)(539, 578)(540, 575)(541, 583)(542, 582)(543, 584)(544, 581)(545, 587)(546, 586)(547, 588)(548, 585)(553, 591)(554, 590)(555, 592)(556, 589)(593, 600)(594, 599)(595, 597)(596, 598)(601, 608)(602, 607)(603, 610)(604, 609)(605, 647)(606, 645)(611, 641)(612, 644)(613, 648)(614, 646)(615, 637)(616, 640)(617, 639)(618, 638)(619, 643)(620, 642)(621, 633)(622, 636)(623, 635)(624, 634)(625, 629)(626, 632)(627, 631)(628, 630)(649, 651)(650, 653)(652, 657)(654, 660)(655, 662)(656, 663)(658, 667)(659, 668)(661, 671)(664, 676)(665, 678)(666, 679)(669, 684)(670, 686)(672, 685)(673, 683)(674, 682)(675, 681)(677, 680)(687, 692)(688, 698)(689, 700)(690, 699)(691, 697)(693, 702)(694, 704)(695, 703)(696, 701)(705, 714)(706, 716)(707, 715)(708, 713)(709, 718)(710, 720)(711, 719)(712, 717)(721, 726)(722, 747)(723, 727)(724, 746)(725, 765)(728, 777)(729, 767)(730, 781)(731, 780)(732, 776)(733, 775)(734, 784)(735, 786)(736, 779)(737, 783)(738, 790)(739, 773)(740, 782)(741, 789)(742, 768)(743, 774)(744, 778)(745, 785)(748, 788)(749, 795)(750, 787)(751, 796)(752, 766)(753, 792)(754, 793)(755, 791)(756, 794)(757, 798)(758, 799)(759, 797)(760, 800)(761, 802)(762, 803)(763, 801)(764, 804)(769, 806)(770, 807)(771, 805)(772, 808)(809, 814)(810, 813)(811, 815)(812, 816)(817, 825)(818, 826)(819, 823)(820, 824)(821, 862)(822, 864)(827, 859)(828, 858)(829, 861)(830, 863)(831, 855)(832, 854)(833, 853)(834, 856)(835, 857)(836, 860)(837, 851)(838, 850)(839, 849)(840, 852)(841, 847)(842, 846)(843, 845)(844, 848)
	L = (1, 433)(2, 434)(3, 435)(4, 436)(5, 437)(6, 438)(7, 439)(8, 440)(9, 441)(10, 442)(11, 443)(12, 444)(13, 445)(14, 446)(15, 447)(16, 448)(17, 449)(18, 450)(19, 451)(20, 452)(21, 453)(22, 454)(23, 455)(24, 456)(25, 457)(26, 458)(27, 459)(28, 460)(29, 461)(30, 462)(31, 463)(32, 464)(33, 465)(34, 466)(35, 467)(36, 468)(37, 469)(38, 470)(39, 471)(40, 472)(41, 473)(42, 474)(43, 475)(44, 476)(45, 477)(46, 478)(47, 479)(48, 480)(49, 481)(50, 482)(51, 483)(52, 484)(53, 485)(54, 486)(55, 487)(56, 488)(57, 489)(58, 490)(59, 491)(60, 492)(61, 493)(62, 494)(63, 495)(64, 496)(65, 497)(66, 498)(67, 499)(68, 500)(69, 501)(70, 502)(71, 503)(72, 504)(73, 505)(74, 506)(75, 507)(76, 508)(77, 509)(78, 510)(79, 511)(80, 512)(81, 513)(82, 514)(83, 515)(84, 516)(85, 517)(86, 518)(87, 519)(88, 520)(89, 521)(90, 522)(91, 523)(92, 524)(93, 525)(94, 526)(95, 527)(96, 528)(97, 529)(98, 530)(99, 531)(100, 532)(101, 533)(102, 534)(103, 535)(104, 536)(105, 537)(106, 538)(107, 539)(108, 540)(109, 541)(110, 542)(111, 543)(112, 544)(113, 545)(114, 546)(115, 547)(116, 548)(117, 549)(118, 550)(119, 551)(120, 552)(121, 553)(122, 554)(123, 555)(124, 556)(125, 557)(126, 558)(127, 559)(128, 560)(129, 561)(130, 562)(131, 563)(132, 564)(133, 565)(134, 566)(135, 567)(136, 568)(137, 569)(138, 570)(139, 571)(140, 572)(141, 573)(142, 574)(143, 575)(144, 576)(145, 577)(146, 578)(147, 579)(148, 580)(149, 581)(150, 582)(151, 583)(152, 584)(153, 585)(154, 586)(155, 587)(156, 588)(157, 589)(158, 590)(159, 591)(160, 592)(161, 593)(162, 594)(163, 595)(164, 596)(165, 597)(166, 598)(167, 599)(168, 600)(169, 601)(170, 602)(171, 603)(172, 604)(173, 605)(174, 606)(175, 607)(176, 608)(177, 609)(178, 610)(179, 611)(180, 612)(181, 613)(182, 614)(183, 615)(184, 616)(185, 617)(186, 618)(187, 619)(188, 620)(189, 621)(190, 622)(191, 623)(192, 624)(193, 625)(194, 626)(195, 627)(196, 628)(197, 629)(198, 630)(199, 631)(200, 632)(201, 633)(202, 634)(203, 635)(204, 636)(205, 637)(206, 638)(207, 639)(208, 640)(209, 641)(210, 642)(211, 643)(212, 644)(213, 645)(214, 646)(215, 647)(216, 648)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E28.2958
Graph:: simple bipartite
	v = 324 e = 432 f = 54
	degree seq :: [ 2^216, 4^108 ]

E28.2956 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = ((C2 x C2) : C27) : C2 (small group id <216, 21>)
Aut   = $<432, 224>$ (small group id <432, 224>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y2)^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, Y3^-1 * Y2 * Y3^-2 * Y1 * Y3^-1, Y1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y2, Y3^-1 * Y2 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal
	R = (1, 217, 4, 220, 13, 229, 5, 221)(2, 218, 7, 223, 20, 236, 8, 224)(3, 219, 9, 225, 23, 239, 10, 226)(6, 222, 16, 232, 28, 244, 17, 233)(11, 227, 24, 240, 15, 231, 25, 241)(12, 228, 26, 242, 14, 230, 27, 243)(18, 234, 29, 245, 22, 238, 30, 246)(19, 235, 31, 247, 21, 237, 32, 248)(33, 249, 41, 257, 36, 252, 42, 258)(34, 250, 43, 259, 35, 251, 44, 260)(37, 253, 45, 261, 40, 256, 46, 262)(38, 254, 47, 263, 39, 255, 48, 264)(49, 265, 57, 273, 52, 268, 58, 274)(50, 266, 59, 275, 51, 267, 60, 276)(53, 269, 61, 277, 56, 272, 62, 278)(54, 270, 63, 279, 55, 271, 64, 280)(65, 281, 73, 289, 68, 284, 74, 290)(66, 282, 75, 291, 67, 283, 76, 292)(69, 285, 113, 329, 72, 288, 119, 335)(70, 286, 115, 331, 71, 287, 117, 333)(77, 293, 121, 337, 92, 308, 123, 339)(78, 294, 124, 340, 91, 307, 126, 342)(79, 295, 127, 343, 88, 304, 129, 345)(80, 296, 130, 346, 83, 299, 132, 348)(81, 297, 133, 349, 84, 300, 135, 351)(82, 298, 136, 352, 85, 301, 138, 354)(86, 302, 142, 358, 89, 305, 144, 360)(87, 303, 145, 361, 90, 306, 147, 363)(93, 309, 153, 369, 95, 311, 155, 371)(94, 310, 156, 372, 96, 312, 158, 374)(97, 313, 161, 377, 99, 315, 163, 379)(98, 314, 164, 380, 100, 316, 166, 382)(101, 317, 169, 385, 103, 319, 171, 387)(102, 318, 172, 388, 104, 320, 174, 390)(105, 321, 177, 393, 107, 323, 179, 395)(106, 322, 180, 396, 108, 324, 182, 398)(109, 325, 185, 401, 111, 327, 187, 403)(110, 326, 188, 404, 112, 328, 190, 406)(114, 330, 194, 410, 118, 334, 196, 412)(116, 332, 197, 413, 120, 336, 193, 409)(122, 338, 202, 418, 131, 347, 204, 420)(125, 341, 206, 422, 128, 344, 208, 424)(134, 350, 207, 423, 137, 353, 214, 430)(139, 355, 211, 427, 152, 368, 201, 417)(140, 356, 213, 429, 141, 357, 210, 426)(143, 359, 203, 419, 146, 362, 215, 431)(148, 364, 209, 425, 151, 367, 205, 421)(149, 365, 216, 432, 150, 366, 212, 428)(154, 370, 198, 414, 157, 373, 195, 411)(159, 375, 199, 415, 160, 376, 200, 416)(162, 378, 189, 405, 165, 381, 186, 402)(167, 383, 191, 407, 168, 384, 192, 408)(170, 386, 184, 400, 173, 389, 183, 399)(175, 391, 178, 394, 176, 392, 181, 397)(433, 434)(435, 438)(436, 443)(437, 446)(439, 450)(440, 453)(441, 454)(442, 451)(444, 449)(445, 455)(447, 448)(452, 460)(456, 465)(457, 467)(458, 468)(459, 466)(461, 469)(462, 471)(463, 472)(464, 470)(473, 481)(474, 483)(475, 484)(476, 482)(477, 485)(478, 487)(479, 488)(480, 486)(489, 497)(490, 499)(491, 500)(492, 498)(493, 501)(494, 503)(495, 504)(496, 502)(505, 509)(506, 512)(507, 524)(508, 515)(510, 545)(511, 551)(513, 553)(514, 555)(516, 564)(517, 562)(518, 556)(519, 558)(520, 549)(521, 561)(522, 559)(523, 547)(525, 565)(526, 567)(527, 570)(528, 568)(529, 574)(530, 576)(531, 579)(532, 577)(533, 585)(534, 587)(535, 590)(536, 588)(537, 593)(538, 595)(539, 598)(540, 596)(541, 601)(542, 603)(543, 606)(544, 604)(546, 609)(548, 611)(550, 614)(552, 612)(554, 617)(557, 626)(560, 625)(563, 622)(566, 634)(569, 633)(571, 619)(572, 643)(573, 636)(575, 638)(578, 637)(580, 628)(581, 641)(582, 640)(583, 629)(584, 620)(586, 639)(589, 645)(591, 642)(592, 646)(594, 635)(597, 648)(599, 644)(600, 647)(602, 630)(605, 631)(607, 632)(608, 627)(610, 621)(613, 623)(615, 624)(616, 618)(649, 651)(650, 654)(652, 660)(653, 663)(655, 667)(656, 670)(657, 669)(658, 666)(659, 665)(661, 668)(662, 664)(671, 676)(672, 682)(673, 684)(674, 683)(675, 681)(677, 686)(678, 688)(679, 687)(680, 685)(689, 698)(690, 700)(691, 699)(692, 697)(693, 702)(694, 704)(695, 703)(696, 701)(705, 714)(706, 716)(707, 715)(708, 713)(709, 718)(710, 720)(711, 719)(712, 717)(721, 731)(722, 740)(723, 728)(724, 725)(726, 765)(727, 763)(729, 778)(730, 780)(732, 771)(733, 769)(734, 775)(735, 777)(736, 761)(737, 774)(738, 772)(739, 767)(741, 784)(742, 786)(743, 783)(744, 781)(745, 793)(746, 795)(747, 792)(748, 790)(749, 804)(750, 806)(751, 803)(752, 801)(753, 812)(754, 814)(755, 811)(756, 809)(757, 820)(758, 822)(759, 819)(760, 817)(762, 828)(764, 830)(766, 827)(768, 825)(770, 836)(773, 845)(776, 844)(779, 835)(782, 859)(785, 852)(787, 838)(788, 850)(789, 849)(791, 857)(794, 856)(796, 841)(797, 854)(798, 853)(799, 842)(800, 833)(802, 858)(805, 862)(807, 855)(808, 861)(810, 860)(813, 863)(815, 851)(816, 864)(818, 848)(821, 843)(823, 846)(824, 847)(826, 840)(829, 834)(831, 837)(832, 839)
	L = (1, 433)(2, 434)(3, 435)(4, 436)(5, 437)(6, 438)(7, 439)(8, 440)(9, 441)(10, 442)(11, 443)(12, 444)(13, 445)(14, 446)(15, 447)(16, 448)(17, 449)(18, 450)(19, 451)(20, 452)(21, 453)(22, 454)(23, 455)(24, 456)(25, 457)(26, 458)(27, 459)(28, 460)(29, 461)(30, 462)(31, 463)(32, 464)(33, 465)(34, 466)(35, 467)(36, 468)(37, 469)(38, 470)(39, 471)(40, 472)(41, 473)(42, 474)(43, 475)(44, 476)(45, 477)(46, 478)(47, 479)(48, 480)(49, 481)(50, 482)(51, 483)(52, 484)(53, 485)(54, 486)(55, 487)(56, 488)(57, 489)(58, 490)(59, 491)(60, 492)(61, 493)(62, 494)(63, 495)(64, 496)(65, 497)(66, 498)(67, 499)(68, 500)(69, 501)(70, 502)(71, 503)(72, 504)(73, 505)(74, 506)(75, 507)(76, 508)(77, 509)(78, 510)(79, 511)(80, 512)(81, 513)(82, 514)(83, 515)(84, 516)(85, 517)(86, 518)(87, 519)(88, 520)(89, 521)(90, 522)(91, 523)(92, 524)(93, 525)(94, 526)(95, 527)(96, 528)(97, 529)(98, 530)(99, 531)(100, 532)(101, 533)(102, 534)(103, 535)(104, 536)(105, 537)(106, 538)(107, 539)(108, 540)(109, 541)(110, 542)(111, 543)(112, 544)(113, 545)(114, 546)(115, 547)(116, 548)(117, 549)(118, 550)(119, 551)(120, 552)(121, 553)(122, 554)(123, 555)(124, 556)(125, 557)(126, 558)(127, 559)(128, 560)(129, 561)(130, 562)(131, 563)(132, 564)(133, 565)(134, 566)(135, 567)(136, 568)(137, 569)(138, 570)(139, 571)(140, 572)(141, 573)(142, 574)(143, 575)(144, 576)(145, 577)(146, 578)(147, 579)(148, 580)(149, 581)(150, 582)(151, 583)(152, 584)(153, 585)(154, 586)(155, 587)(156, 588)(157, 589)(158, 590)(159, 591)(160, 592)(161, 593)(162, 594)(163, 595)(164, 596)(165, 597)(166, 598)(167, 599)(168, 600)(169, 601)(170, 602)(171, 603)(172, 604)(173, 605)(174, 606)(175, 607)(176, 608)(177, 609)(178, 610)(179, 611)(180, 612)(181, 613)(182, 614)(183, 615)(184, 616)(185, 617)(186, 618)(187, 619)(188, 620)(189, 621)(190, 622)(191, 623)(192, 624)(193, 625)(194, 626)(195, 627)(196, 628)(197, 629)(198, 630)(199, 631)(200, 632)(201, 633)(202, 634)(203, 635)(204, 636)(205, 637)(206, 638)(207, 639)(208, 640)(209, 641)(210, 642)(211, 643)(212, 644)(213, 645)(214, 646)(215, 647)(216, 648)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E28.2957
Graph:: simple bipartite
	v = 270 e = 432 f = 108
	degree seq :: [ 2^216, 8^54 ]

E28.2957 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = ((C2 x C2) : C27) : C2 (small group id <216, 21>)
Aut   = $<432, 224>$ (small group id <432, 224>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (Y2 * Y1)^2, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y3 * Y1, (Y3 * Y1)^27 ]
Map::
	R = (1, 217, 433, 649, 4, 220, 436, 652)(2, 218, 434, 650, 6, 222, 438, 654)(3, 219, 435, 651, 7, 223, 439, 655)(5, 221, 437, 653, 10, 226, 442, 658)(8, 224, 440, 656, 16, 232, 448, 664)(9, 225, 441, 657, 17, 233, 449, 665)(11, 227, 443, 659, 21, 237, 453, 669)(12, 228, 444, 660, 22, 238, 454, 670)(13, 229, 445, 661, 24, 240, 456, 672)(14, 230, 446, 662, 25, 241, 457, 673)(15, 231, 447, 663, 26, 242, 458, 674)(18, 234, 450, 666, 32, 248, 464, 680)(19, 235, 451, 667, 33, 249, 465, 681)(20, 236, 452, 668, 34, 250, 466, 682)(23, 239, 455, 671, 39, 255, 471, 687)(27, 243, 459, 675, 40, 256, 472, 688)(28, 244, 460, 676, 41, 257, 473, 689)(29, 245, 461, 677, 42, 258, 474, 690)(30, 246, 462, 678, 43, 259, 475, 691)(31, 247, 463, 679, 44, 260, 476, 692)(35, 251, 467, 683, 45, 261, 477, 693)(36, 252, 468, 684, 46, 262, 478, 694)(37, 253, 469, 685, 47, 263, 479, 695)(38, 254, 470, 686, 48, 264, 480, 696)(49, 265, 481, 697, 57, 273, 489, 705)(50, 266, 482, 698, 58, 274, 490, 706)(51, 267, 483, 699, 59, 275, 491, 707)(52, 268, 484, 700, 60, 276, 492, 708)(53, 269, 485, 701, 61, 277, 493, 709)(54, 270, 486, 702, 62, 278, 494, 710)(55, 271, 487, 703, 63, 279, 495, 711)(56, 272, 488, 704, 64, 280, 496, 712)(65, 281, 497, 713, 73, 289, 505, 721)(66, 282, 498, 714, 74, 290, 506, 722)(67, 283, 499, 715, 75, 291, 507, 723)(68, 284, 500, 716, 76, 292, 508, 724)(69, 285, 501, 717, 117, 333, 549, 765)(70, 286, 502, 718, 118, 334, 550, 766)(71, 287, 503, 719, 119, 335, 551, 767)(72, 288, 504, 720, 120, 336, 552, 768)(77, 293, 509, 725, 125, 341, 557, 773)(78, 294, 510, 726, 126, 342, 558, 774)(79, 295, 511, 727, 127, 343, 559, 775)(80, 296, 512, 728, 130, 346, 562, 778)(81, 297, 513, 729, 131, 347, 563, 779)(82, 298, 514, 730, 134, 350, 566, 782)(83, 299, 515, 731, 135, 351, 567, 783)(84, 300, 516, 732, 136, 352, 568, 784)(85, 301, 517, 733, 137, 353, 569, 785)(86, 302, 518, 734, 139, 355, 571, 787)(87, 303, 519, 735, 140, 356, 572, 788)(88, 304, 520, 736, 141, 357, 573, 789)(89, 305, 521, 737, 143, 359, 575, 791)(90, 306, 522, 738, 144, 360, 576, 792)(91, 307, 523, 739, 142, 358, 574, 790)(92, 308, 524, 740, 145, 361, 577, 793)(93, 309, 525, 741, 146, 362, 578, 794)(94, 310, 526, 742, 133, 349, 565, 781)(95, 311, 527, 743, 138, 354, 570, 786)(96, 312, 528, 744, 147, 363, 579, 795)(97, 313, 529, 745, 148, 364, 580, 796)(98, 314, 530, 746, 129, 345, 561, 777)(99, 315, 531, 747, 128, 344, 560, 776)(100, 316, 532, 748, 149, 365, 581, 797)(101, 317, 533, 749, 150, 366, 582, 798)(102, 318, 534, 750, 151, 367, 583, 799)(103, 319, 535, 751, 152, 368, 584, 800)(104, 320, 536, 752, 132, 348, 564, 780)(105, 321, 537, 753, 153, 369, 585, 801)(106, 322, 538, 754, 154, 370, 586, 802)(107, 323, 539, 755, 155, 371, 587, 803)(108, 324, 540, 756, 156, 372, 588, 804)(109, 325, 541, 757, 157, 373, 589, 805)(110, 326, 542, 758, 158, 374, 590, 806)(111, 327, 543, 759, 159, 375, 591, 807)(112, 328, 544, 760, 160, 376, 592, 808)(113, 329, 545, 761, 161, 377, 593, 809)(114, 330, 546, 762, 162, 378, 594, 810)(115, 331, 547, 763, 163, 379, 595, 811)(116, 332, 548, 764, 164, 380, 596, 812)(121, 337, 553, 769, 169, 385, 601, 817)(122, 338, 554, 770, 170, 386, 602, 818)(123, 339, 555, 771, 171, 387, 603, 819)(124, 340, 556, 772, 172, 388, 604, 820)(165, 381, 597, 813, 213, 429, 645, 861)(166, 382, 598, 814, 214, 430, 646, 862)(167, 383, 599, 815, 215, 431, 647, 863)(168, 384, 600, 816, 216, 432, 648, 864)(173, 389, 605, 821, 205, 421, 637, 853)(174, 390, 606, 822, 206, 422, 638, 854)(175, 391, 607, 823, 209, 425, 641, 857)(176, 392, 608, 824, 210, 426, 642, 858)(177, 393, 609, 825, 211, 427, 643, 859)(178, 394, 610, 826, 212, 428, 644, 860)(179, 395, 611, 827, 201, 417, 633, 849)(180, 396, 612, 828, 202, 418, 634, 850)(181, 397, 613, 829, 207, 423, 639, 855)(182, 398, 614, 830, 208, 424, 640, 856)(183, 399, 615, 831, 197, 413, 629, 845)(184, 400, 616, 832, 198, 414, 630, 846)(185, 401, 617, 833, 200, 416, 632, 848)(186, 402, 618, 834, 199, 415, 631, 847)(187, 403, 619, 835, 204, 420, 636, 852)(188, 404, 620, 836, 203, 419, 635, 851)(189, 405, 621, 837, 193, 409, 625, 841)(190, 406, 622, 838, 194, 410, 626, 842)(191, 407, 623, 839, 196, 412, 628, 844)(192, 408, 624, 840, 195, 411, 627, 843)
	L = (1, 218)(2, 217)(3, 221)(4, 224)(5, 219)(6, 227)(7, 229)(8, 220)(9, 231)(10, 234)(11, 222)(12, 236)(13, 223)(14, 239)(15, 225)(16, 243)(17, 245)(18, 226)(19, 247)(20, 228)(21, 251)(22, 253)(23, 230)(24, 254)(25, 252)(26, 255)(27, 232)(28, 249)(29, 233)(30, 248)(31, 235)(32, 246)(33, 244)(34, 260)(35, 237)(36, 241)(37, 238)(38, 240)(39, 242)(40, 265)(41, 267)(42, 268)(43, 266)(44, 250)(45, 269)(46, 271)(47, 272)(48, 270)(49, 256)(50, 259)(51, 257)(52, 258)(53, 261)(54, 264)(55, 262)(56, 263)(57, 281)(58, 283)(59, 284)(60, 282)(61, 285)(62, 287)(63, 288)(64, 286)(65, 273)(66, 276)(67, 274)(68, 275)(69, 277)(70, 280)(71, 278)(72, 279)(73, 314)(74, 295)(75, 315)(76, 294)(77, 336)(78, 292)(79, 290)(80, 344)(81, 334)(82, 348)(83, 349)(84, 345)(85, 342)(86, 354)(87, 352)(88, 341)(89, 358)(90, 351)(91, 347)(92, 357)(93, 350)(94, 333)(95, 343)(96, 353)(97, 346)(98, 289)(99, 291)(100, 363)(101, 356)(102, 364)(103, 355)(104, 335)(105, 361)(106, 360)(107, 362)(108, 359)(109, 367)(110, 366)(111, 368)(112, 365)(113, 371)(114, 370)(115, 372)(116, 369)(117, 310)(118, 297)(119, 320)(120, 293)(121, 375)(122, 374)(123, 376)(124, 373)(125, 304)(126, 301)(127, 311)(128, 296)(129, 300)(130, 313)(131, 307)(132, 298)(133, 299)(134, 309)(135, 306)(136, 303)(137, 312)(138, 302)(139, 319)(140, 317)(141, 308)(142, 305)(143, 324)(144, 322)(145, 321)(146, 323)(147, 316)(148, 318)(149, 328)(150, 326)(151, 325)(152, 327)(153, 332)(154, 330)(155, 329)(156, 331)(157, 340)(158, 338)(159, 337)(160, 339)(161, 384)(162, 383)(163, 381)(164, 382)(165, 379)(166, 380)(167, 378)(168, 377)(169, 392)(170, 391)(171, 394)(172, 393)(173, 431)(174, 429)(175, 386)(176, 385)(177, 388)(178, 387)(179, 425)(180, 428)(181, 432)(182, 430)(183, 421)(184, 424)(185, 423)(186, 422)(187, 427)(188, 426)(189, 417)(190, 420)(191, 419)(192, 418)(193, 413)(194, 416)(195, 415)(196, 414)(197, 409)(198, 412)(199, 411)(200, 410)(201, 405)(202, 408)(203, 407)(204, 406)(205, 399)(206, 402)(207, 401)(208, 400)(209, 395)(210, 404)(211, 403)(212, 396)(213, 390)(214, 398)(215, 389)(216, 397)(433, 651)(434, 653)(435, 649)(436, 657)(437, 650)(438, 660)(439, 662)(440, 663)(441, 652)(442, 667)(443, 668)(444, 654)(445, 671)(446, 655)(447, 656)(448, 676)(449, 678)(450, 679)(451, 658)(452, 659)(453, 684)(454, 686)(455, 661)(456, 685)(457, 683)(458, 682)(459, 681)(460, 664)(461, 680)(462, 665)(463, 666)(464, 677)(465, 675)(466, 674)(467, 673)(468, 669)(469, 672)(470, 670)(471, 692)(472, 698)(473, 700)(474, 699)(475, 697)(476, 687)(477, 702)(478, 704)(479, 703)(480, 701)(481, 691)(482, 688)(483, 690)(484, 689)(485, 696)(486, 693)(487, 695)(488, 694)(489, 714)(490, 716)(491, 715)(492, 713)(493, 718)(494, 720)(495, 719)(496, 717)(497, 708)(498, 705)(499, 707)(500, 706)(501, 712)(502, 709)(503, 711)(504, 710)(505, 726)(506, 747)(507, 727)(508, 746)(509, 765)(510, 721)(511, 723)(512, 777)(513, 767)(514, 781)(515, 780)(516, 776)(517, 775)(518, 784)(519, 786)(520, 779)(521, 783)(522, 790)(523, 773)(524, 782)(525, 789)(526, 768)(527, 774)(528, 778)(529, 785)(530, 724)(531, 722)(532, 788)(533, 795)(534, 787)(535, 796)(536, 766)(537, 792)(538, 793)(539, 791)(540, 794)(541, 798)(542, 799)(543, 797)(544, 800)(545, 802)(546, 803)(547, 801)(548, 804)(549, 725)(550, 752)(551, 729)(552, 742)(553, 806)(554, 807)(555, 805)(556, 808)(557, 739)(558, 743)(559, 733)(560, 732)(561, 728)(562, 744)(563, 736)(564, 731)(565, 730)(566, 740)(567, 737)(568, 734)(569, 745)(570, 735)(571, 750)(572, 748)(573, 741)(574, 738)(575, 755)(576, 753)(577, 754)(578, 756)(579, 749)(580, 751)(581, 759)(582, 757)(583, 758)(584, 760)(585, 763)(586, 761)(587, 762)(588, 764)(589, 771)(590, 769)(591, 770)(592, 772)(593, 814)(594, 813)(595, 815)(596, 816)(597, 810)(598, 809)(599, 811)(600, 812)(601, 825)(602, 826)(603, 823)(604, 824)(605, 862)(606, 864)(607, 819)(608, 820)(609, 817)(610, 818)(611, 859)(612, 858)(613, 861)(614, 863)(615, 855)(616, 854)(617, 853)(618, 856)(619, 857)(620, 860)(621, 851)(622, 850)(623, 849)(624, 852)(625, 847)(626, 846)(627, 845)(628, 848)(629, 843)(630, 842)(631, 841)(632, 844)(633, 839)(634, 838)(635, 837)(636, 840)(637, 833)(638, 832)(639, 831)(640, 834)(641, 835)(642, 828)(643, 827)(644, 836)(645, 829)(646, 821)(647, 830)(648, 822)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.2956
Transitivity :: VT+
Graph::
	v = 108 e = 432 f = 270
	degree seq :: [ 8^108 ]

E28.2958 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = ((C2 x C2) : C27) : C2 (small group id <216, 21>)
Aut   = $<432, 224>$ (small group id <432, 224>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y2)^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, Y3^-1 * Y2 * Y3^-2 * Y1 * Y3^-1, Y1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y2, Y3^-1 * Y2 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 217, 433, 649, 4, 220, 436, 652, 13, 229, 445, 661, 5, 221, 437, 653)(2, 218, 434, 650, 7, 223, 439, 655, 20, 236, 452, 668, 8, 224, 440, 656)(3, 219, 435, 651, 9, 225, 441, 657, 23, 239, 455, 671, 10, 226, 442, 658)(6, 222, 438, 654, 16, 232, 448, 664, 28, 244, 460, 676, 17, 233, 449, 665)(11, 227, 443, 659, 24, 240, 456, 672, 15, 231, 447, 663, 25, 241, 457, 673)(12, 228, 444, 660, 26, 242, 458, 674, 14, 230, 446, 662, 27, 243, 459, 675)(18, 234, 450, 666, 29, 245, 461, 677, 22, 238, 454, 670, 30, 246, 462, 678)(19, 235, 451, 667, 31, 247, 463, 679, 21, 237, 453, 669, 32, 248, 464, 680)(33, 249, 465, 681, 41, 257, 473, 689, 36, 252, 468, 684, 42, 258, 474, 690)(34, 250, 466, 682, 43, 259, 475, 691, 35, 251, 467, 683, 44, 260, 476, 692)(37, 253, 469, 685, 45, 261, 477, 693, 40, 256, 472, 688, 46, 262, 478, 694)(38, 254, 470, 686, 47, 263, 479, 695, 39, 255, 471, 687, 48, 264, 480, 696)(49, 265, 481, 697, 57, 273, 489, 705, 52, 268, 484, 700, 58, 274, 490, 706)(50, 266, 482, 698, 59, 275, 491, 707, 51, 267, 483, 699, 60, 276, 492, 708)(53, 269, 485, 701, 61, 277, 493, 709, 56, 272, 488, 704, 62, 278, 494, 710)(54, 270, 486, 702, 63, 279, 495, 711, 55, 271, 487, 703, 64, 280, 496, 712)(65, 281, 497, 713, 73, 289, 505, 721, 68, 284, 500, 716, 74, 290, 506, 722)(66, 282, 498, 714, 75, 291, 507, 723, 67, 283, 499, 715, 76, 292, 508, 724)(69, 285, 501, 717, 134, 350, 566, 782, 72, 288, 504, 720, 136, 352, 568, 784)(70, 286, 502, 718, 133, 349, 565, 781, 71, 287, 503, 719, 135, 351, 567, 783)(77, 293, 509, 725, 151, 367, 583, 799, 104, 320, 536, 752, 152, 368, 584, 800)(78, 294, 510, 726, 155, 371, 587, 803, 99, 315, 531, 747, 156, 372, 588, 804)(79, 295, 511, 727, 157, 373, 589, 805, 96, 312, 528, 744, 158, 374, 590, 806)(80, 296, 512, 728, 159, 375, 591, 807, 92, 308, 524, 740, 160, 376, 592, 808)(81, 297, 513, 729, 161, 377, 593, 809, 93, 309, 525, 741, 162, 378, 594, 810)(82, 298, 514, 730, 163, 379, 595, 811, 89, 305, 521, 737, 164, 380, 596, 812)(83, 299, 515, 731, 165, 381, 597, 813, 85, 301, 517, 733, 166, 382, 598, 814)(84, 300, 516, 732, 167, 383, 599, 815, 86, 302, 518, 734, 168, 384, 600, 816)(87, 303, 519, 735, 171, 387, 603, 819, 90, 306, 522, 738, 149, 365, 581, 797)(88, 304, 520, 736, 150, 366, 582, 798, 91, 307, 523, 739, 172, 388, 604, 820)(94, 310, 526, 742, 177, 393, 609, 825, 97, 313, 529, 745, 153, 369, 585, 801)(95, 311, 527, 743, 154, 370, 586, 802, 98, 314, 530, 746, 178, 394, 610, 826)(100, 316, 532, 748, 181, 397, 613, 829, 102, 318, 534, 750, 182, 398, 614, 830)(101, 317, 533, 749, 183, 399, 615, 831, 103, 319, 535, 751, 184, 400, 616, 832)(105, 321, 537, 753, 185, 401, 617, 833, 107, 323, 539, 755, 186, 402, 618, 834)(106, 322, 538, 754, 187, 403, 619, 835, 108, 324, 540, 756, 188, 404, 620, 836)(109, 325, 541, 757, 174, 390, 606, 822, 111, 327, 543, 759, 169, 385, 601, 817)(110, 326, 542, 758, 170, 386, 602, 818, 112, 328, 544, 760, 173, 389, 605, 821)(113, 329, 545, 761, 180, 396, 612, 828, 115, 331, 547, 763, 175, 391, 607, 823)(114, 330, 546, 762, 176, 392, 608, 824, 116, 332, 548, 764, 179, 395, 611, 827)(117, 333, 549, 765, 197, 413, 629, 845, 119, 335, 551, 767, 198, 414, 630, 846)(118, 334, 550, 766, 199, 415, 631, 847, 120, 336, 552, 768, 200, 416, 632, 848)(121, 337, 553, 769, 148, 364, 580, 796, 123, 339, 555, 771, 145, 361, 577, 793)(122, 338, 554, 770, 147, 363, 579, 795, 124, 340, 556, 772, 146, 362, 578, 794)(125, 341, 557, 773, 192, 408, 624, 840, 127, 343, 559, 775, 189, 405, 621, 837)(126, 342, 558, 774, 190, 406, 622, 838, 128, 344, 560, 776, 191, 407, 623, 839)(129, 345, 561, 777, 196, 412, 628, 844, 131, 347, 563, 779, 193, 409, 625, 841)(130, 346, 562, 778, 194, 410, 626, 842, 132, 348, 564, 780, 195, 411, 627, 843)(137, 353, 569, 785, 204, 420, 636, 852, 139, 355, 571, 787, 201, 417, 633, 849)(138, 354, 570, 786, 202, 418, 634, 850, 140, 356, 572, 788, 203, 419, 635, 851)(141, 357, 573, 789, 208, 424, 640, 856, 143, 359, 575, 791, 205, 421, 637, 853)(142, 358, 574, 790, 206, 422, 638, 854, 144, 360, 576, 792, 207, 423, 639, 855)(209, 425, 641, 857, 215, 431, 647, 863, 212, 428, 644, 860, 214, 430, 646, 862)(210, 426, 642, 858, 213, 429, 645, 861, 211, 427, 643, 859, 216, 432, 648, 864)
	L = (1, 218)(2, 217)(3, 222)(4, 227)(5, 230)(6, 219)(7, 234)(8, 237)(9, 238)(10, 235)(11, 220)(12, 233)(13, 239)(14, 221)(15, 232)(16, 231)(17, 228)(18, 223)(19, 226)(20, 244)(21, 224)(22, 225)(23, 229)(24, 249)(25, 251)(26, 252)(27, 250)(28, 236)(29, 253)(30, 255)(31, 256)(32, 254)(33, 240)(34, 243)(35, 241)(36, 242)(37, 245)(38, 248)(39, 246)(40, 247)(41, 265)(42, 267)(43, 268)(44, 266)(45, 269)(46, 271)(47, 272)(48, 270)(49, 257)(50, 260)(51, 258)(52, 259)(53, 261)(54, 264)(55, 262)(56, 263)(57, 281)(58, 283)(59, 284)(60, 282)(61, 285)(62, 287)(63, 288)(64, 286)(65, 273)(66, 276)(67, 274)(68, 275)(69, 277)(70, 280)(71, 278)(72, 279)(73, 361)(74, 363)(75, 364)(76, 362)(77, 365)(78, 369)(79, 370)(80, 371)(81, 372)(82, 366)(83, 367)(84, 368)(85, 379)(86, 380)(87, 385)(88, 386)(89, 387)(90, 389)(91, 390)(92, 373)(93, 374)(94, 391)(95, 392)(96, 393)(97, 395)(98, 396)(99, 394)(100, 375)(101, 376)(102, 378)(103, 377)(104, 388)(105, 381)(106, 382)(107, 384)(108, 383)(109, 405)(110, 406)(111, 407)(112, 408)(113, 409)(114, 410)(115, 411)(116, 412)(117, 397)(118, 398)(119, 400)(120, 399)(121, 401)(122, 402)(123, 404)(124, 403)(125, 417)(126, 418)(127, 419)(128, 420)(129, 421)(130, 422)(131, 423)(132, 424)(133, 413)(134, 414)(135, 416)(136, 415)(137, 425)(138, 426)(139, 427)(140, 428)(141, 429)(142, 430)(143, 431)(144, 432)(145, 289)(146, 292)(147, 290)(148, 291)(149, 293)(150, 298)(151, 299)(152, 300)(153, 294)(154, 295)(155, 296)(156, 297)(157, 308)(158, 309)(159, 316)(160, 317)(161, 319)(162, 318)(163, 301)(164, 302)(165, 321)(166, 322)(167, 324)(168, 323)(169, 303)(170, 304)(171, 305)(172, 320)(173, 306)(174, 307)(175, 310)(176, 311)(177, 312)(178, 315)(179, 313)(180, 314)(181, 333)(182, 334)(183, 336)(184, 335)(185, 337)(186, 338)(187, 340)(188, 339)(189, 325)(190, 326)(191, 327)(192, 328)(193, 329)(194, 330)(195, 331)(196, 332)(197, 349)(198, 350)(199, 352)(200, 351)(201, 341)(202, 342)(203, 343)(204, 344)(205, 345)(206, 346)(207, 347)(208, 348)(209, 353)(210, 354)(211, 355)(212, 356)(213, 357)(214, 358)(215, 359)(216, 360)(433, 651)(434, 654)(435, 649)(436, 660)(437, 663)(438, 650)(439, 667)(440, 670)(441, 669)(442, 666)(443, 665)(444, 652)(445, 668)(446, 664)(447, 653)(448, 662)(449, 659)(450, 658)(451, 655)(452, 661)(453, 657)(454, 656)(455, 676)(456, 682)(457, 684)(458, 683)(459, 681)(460, 671)(461, 686)(462, 688)(463, 687)(464, 685)(465, 675)(466, 672)(467, 674)(468, 673)(469, 680)(470, 677)(471, 679)(472, 678)(473, 698)(474, 700)(475, 699)(476, 697)(477, 702)(478, 704)(479, 703)(480, 701)(481, 692)(482, 689)(483, 691)(484, 690)(485, 696)(486, 693)(487, 695)(488, 694)(489, 714)(490, 716)(491, 715)(492, 713)(493, 718)(494, 720)(495, 719)(496, 717)(497, 708)(498, 705)(499, 707)(500, 706)(501, 712)(502, 709)(503, 711)(504, 710)(505, 794)(506, 796)(507, 795)(508, 793)(509, 798)(510, 802)(511, 801)(512, 806)(513, 805)(514, 797)(515, 812)(516, 811)(517, 800)(518, 799)(519, 818)(520, 817)(521, 820)(522, 822)(523, 821)(524, 804)(525, 803)(526, 824)(527, 823)(528, 826)(529, 828)(530, 827)(531, 825)(532, 809)(533, 810)(534, 808)(535, 807)(536, 819)(537, 815)(538, 816)(539, 814)(540, 813)(541, 838)(542, 837)(543, 840)(544, 839)(545, 842)(546, 841)(547, 844)(548, 843)(549, 831)(550, 832)(551, 830)(552, 829)(553, 835)(554, 836)(555, 834)(556, 833)(557, 850)(558, 849)(559, 852)(560, 851)(561, 854)(562, 853)(563, 856)(564, 855)(565, 847)(566, 848)(567, 846)(568, 845)(569, 858)(570, 857)(571, 860)(572, 859)(573, 862)(574, 861)(575, 864)(576, 863)(577, 724)(578, 721)(579, 723)(580, 722)(581, 730)(582, 725)(583, 734)(584, 733)(585, 727)(586, 726)(587, 741)(588, 740)(589, 729)(590, 728)(591, 751)(592, 750)(593, 748)(594, 749)(595, 732)(596, 731)(597, 756)(598, 755)(599, 753)(600, 754)(601, 736)(602, 735)(603, 752)(604, 737)(605, 739)(606, 738)(607, 743)(608, 742)(609, 747)(610, 744)(611, 746)(612, 745)(613, 768)(614, 767)(615, 765)(616, 766)(617, 772)(618, 771)(619, 769)(620, 770)(621, 758)(622, 757)(623, 760)(624, 759)(625, 762)(626, 761)(627, 764)(628, 763)(629, 784)(630, 783)(631, 781)(632, 782)(633, 774)(634, 773)(635, 776)(636, 775)(637, 778)(638, 777)(639, 780)(640, 779)(641, 786)(642, 785)(643, 788)(644, 787)(645, 790)(646, 789)(647, 792)(648, 791)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.2955
Transitivity :: VT+
Graph::
	v = 54 e = 432 f = 324
	degree seq :: [ 16^54 ]

E28.2959 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = ((C2 x C2) : C27) : C2 (small group id <216, 21>)
Aut   = $<432, 224>$ (small group id <432, 224>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (Y2 * Y3)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3 * Y1)^4, Y3 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1, (Y2 * Y1)^27 ]
Map:: polytopal non-degenerate
	R = (1, 217, 2, 218)(3, 219, 7, 223)(4, 220, 9, 225)(5, 221, 10, 226)(6, 222, 12, 228)(8, 224, 15, 231)(11, 227, 20, 236)(13, 229, 23, 239)(14, 230, 25, 241)(16, 232, 28, 244)(17, 233, 22, 238)(18, 234, 30, 246)(19, 235, 29, 245)(21, 237, 27, 243)(24, 240, 35, 251)(26, 242, 36, 252)(31, 247, 41, 257)(32, 248, 42, 258)(33, 249, 43, 259)(34, 250, 37, 253)(38, 254, 40, 256)(39, 255, 47, 263)(44, 260, 53, 269)(45, 261, 54, 270)(46, 262, 52, 268)(48, 264, 57, 273)(49, 265, 58, 274)(50, 266, 56, 272)(51, 267, 59, 275)(55, 271, 63, 279)(60, 276, 69, 285)(61, 277, 70, 286)(62, 278, 68, 284)(64, 280, 83, 299)(65, 281, 92, 308)(66, 282, 77, 293)(67, 283, 76, 292)(71, 287, 119, 335)(72, 288, 118, 334)(73, 289, 122, 338)(74, 290, 111, 327)(75, 291, 125, 341)(78, 294, 127, 343)(79, 295, 115, 331)(80, 296, 124, 340)(81, 297, 128, 344)(82, 298, 133, 349)(84, 300, 132, 348)(85, 301, 117, 333)(86, 302, 136, 352)(87, 303, 130, 346)(88, 304, 135, 351)(89, 305, 129, 345)(90, 306, 121, 337)(91, 307, 139, 355)(93, 309, 120, 336)(94, 310, 131, 347)(95, 311, 141, 357)(96, 312, 140, 356)(97, 313, 123, 339)(98, 314, 126, 342)(99, 315, 143, 359)(100, 316, 138, 354)(101, 317, 145, 361)(102, 318, 134, 350)(103, 319, 142, 358)(104, 320, 146, 362)(105, 321, 137, 353)(106, 322, 149, 365)(107, 323, 152, 368)(108, 324, 148, 364)(109, 325, 150, 366)(110, 326, 144, 360)(112, 328, 151, 367)(113, 329, 153, 369)(114, 330, 147, 363)(116, 332, 157, 373)(154, 370, 166, 382)(155, 371, 167, 383)(156, 372, 163, 379)(158, 374, 165, 381)(159, 375, 161, 377)(160, 376, 176, 392)(162, 378, 183, 399)(164, 380, 170, 386)(168, 384, 212, 428)(169, 385, 211, 427)(171, 387, 203, 419)(172, 388, 216, 432)(173, 389, 207, 423)(174, 390, 202, 418)(175, 391, 213, 429)(177, 393, 209, 425)(178, 394, 214, 430)(179, 395, 205, 421)(180, 396, 215, 431)(181, 397, 208, 424)(182, 398, 195, 411)(184, 400, 204, 420)(185, 401, 192, 408)(186, 402, 200, 416)(187, 403, 210, 426)(188, 404, 199, 415)(189, 405, 206, 422)(190, 406, 197, 413)(191, 407, 196, 412)(193, 409, 201, 417)(194, 410, 198, 414)(433, 649, 435, 651)(434, 650, 437, 653)(436, 652, 440, 656)(438, 654, 443, 659)(439, 655, 445, 661)(441, 657, 448, 664)(442, 658, 450, 666)(444, 660, 453, 669)(446, 662, 456, 672)(447, 663, 458, 674)(449, 665, 461, 677)(451, 667, 463, 679)(452, 668, 464, 680)(454, 670, 457, 673)(455, 671, 465, 681)(459, 675, 469, 685)(460, 676, 470, 686)(462, 678, 471, 687)(466, 682, 476, 692)(467, 683, 477, 693)(468, 684, 478, 694)(472, 688, 480, 696)(473, 689, 481, 697)(474, 690, 482, 698)(475, 691, 483, 699)(479, 695, 487, 703)(484, 700, 492, 708)(485, 701, 493, 709)(486, 702, 494, 710)(488, 704, 496, 712)(489, 705, 497, 713)(490, 706, 498, 714)(491, 707, 499, 715)(495, 711, 543, 759)(500, 716, 547, 763)(501, 717, 549, 765)(502, 718, 550, 766)(503, 719, 552, 768)(504, 720, 553, 769)(505, 721, 555, 771)(506, 722, 556, 772)(507, 723, 558, 774)(508, 724, 559, 775)(509, 725, 560, 776)(510, 726, 561, 777)(511, 727, 562, 778)(512, 728, 563, 779)(513, 729, 564, 780)(514, 730, 566, 782)(515, 731, 567, 783)(516, 732, 568, 784)(517, 733, 554, 770)(518, 734, 569, 785)(519, 735, 565, 781)(520, 736, 557, 773)(521, 737, 570, 786)(522, 738, 571, 787)(523, 739, 572, 788)(524, 740, 551, 767)(525, 741, 573, 789)(526, 742, 574, 790)(527, 743, 575, 791)(528, 744, 576, 792)(529, 745, 577, 793)(530, 746, 578, 794)(531, 747, 579, 795)(532, 748, 580, 796)(533, 749, 581, 797)(534, 750, 582, 798)(535, 751, 583, 799)(536, 752, 584, 800)(537, 753, 585, 801)(538, 754, 586, 802)(539, 755, 587, 803)(540, 756, 588, 804)(541, 757, 589, 805)(542, 758, 590, 806)(544, 760, 592, 808)(545, 761, 593, 809)(546, 762, 594, 810)(548, 764, 596, 812)(591, 807, 639, 855)(595, 811, 643, 859)(597, 813, 645, 861)(598, 814, 646, 862)(599, 815, 647, 863)(600, 816, 634, 850)(601, 817, 635, 851)(602, 818, 642, 858)(603, 819, 627, 843)(604, 820, 636, 852)(605, 821, 638, 854)(606, 822, 624, 840)(607, 823, 640, 856)(608, 824, 644, 860)(609, 825, 631, 847)(610, 826, 641, 857)(611, 827, 628, 844)(612, 828, 637, 853)(613, 829, 633, 849)(614, 830, 617, 833)(615, 831, 648, 864)(616, 832, 630, 846)(618, 834, 622, 838)(619, 835, 632, 848)(620, 836, 626, 842)(621, 837, 629, 845)(623, 839, 625, 841)
	L = (1, 436)(2, 438)(3, 440)(4, 433)(5, 443)(6, 434)(7, 446)(8, 435)(9, 449)(10, 451)(11, 437)(12, 454)(13, 456)(14, 439)(15, 459)(16, 461)(17, 441)(18, 463)(19, 442)(20, 460)(21, 457)(22, 444)(23, 466)(24, 445)(25, 453)(26, 469)(27, 447)(28, 452)(29, 448)(30, 472)(31, 450)(32, 470)(33, 476)(34, 455)(35, 468)(36, 467)(37, 458)(38, 464)(39, 480)(40, 462)(41, 474)(42, 473)(43, 484)(44, 465)(45, 478)(46, 477)(47, 488)(48, 471)(49, 482)(50, 481)(51, 492)(52, 475)(53, 486)(54, 485)(55, 496)(56, 479)(57, 490)(58, 489)(59, 500)(60, 483)(61, 494)(62, 493)(63, 509)(64, 487)(65, 498)(66, 497)(67, 547)(68, 491)(69, 502)(70, 501)(71, 506)(72, 508)(73, 510)(74, 503)(75, 512)(76, 504)(77, 495)(78, 505)(79, 517)(80, 507)(81, 520)(82, 521)(83, 524)(84, 525)(85, 511)(86, 526)(87, 522)(88, 513)(89, 514)(90, 519)(91, 529)(92, 515)(93, 516)(94, 518)(95, 530)(96, 532)(97, 523)(98, 527)(99, 535)(100, 528)(101, 534)(102, 533)(103, 531)(104, 537)(105, 536)(106, 540)(107, 544)(108, 538)(109, 542)(110, 541)(111, 560)(112, 539)(113, 546)(114, 545)(115, 499)(116, 595)(117, 550)(118, 549)(119, 567)(120, 556)(121, 559)(122, 562)(123, 561)(124, 552)(125, 564)(126, 563)(127, 553)(128, 543)(129, 555)(130, 554)(131, 558)(132, 557)(133, 571)(134, 570)(135, 551)(136, 573)(137, 574)(138, 566)(139, 565)(140, 577)(141, 568)(142, 569)(143, 578)(144, 580)(145, 572)(146, 575)(147, 583)(148, 576)(149, 582)(150, 581)(151, 579)(152, 585)(153, 584)(154, 588)(155, 592)(156, 586)(157, 590)(158, 589)(159, 608)(160, 587)(161, 594)(162, 593)(163, 548)(164, 643)(165, 598)(166, 597)(167, 615)(168, 604)(169, 607)(170, 610)(171, 609)(172, 600)(173, 612)(174, 611)(175, 601)(176, 591)(177, 603)(178, 602)(179, 606)(180, 605)(181, 619)(182, 618)(183, 599)(184, 621)(185, 622)(186, 614)(187, 613)(188, 625)(189, 616)(190, 617)(191, 626)(192, 628)(193, 620)(194, 623)(195, 631)(196, 624)(197, 630)(198, 629)(199, 627)(200, 633)(201, 632)(202, 636)(203, 640)(204, 634)(205, 638)(206, 637)(207, 644)(208, 635)(209, 642)(210, 641)(211, 596)(212, 639)(213, 646)(214, 645)(215, 648)(216, 647)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.2960
Graph:: simple bipartite
	v = 216 e = 432 f = 162
	degree seq :: [ 4^216 ]

E28.2960 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = ((C2 x C2) : C27) : C2 (small group id <216, 21>)
Aut   = $<432, 224>$ (small group id <432, 224>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y2 * Y3)^2, (Y1^-1 * Y3)^2, (R * Y3)^2, Y1^4, (R * Y1)^2, (R * Y2)^2, Y1 * Y2 * Y1^-2 * Y2 * Y1^-1 * Y3, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 217, 2, 218, 6, 222, 5, 221)(3, 219, 9, 225, 19, 235, 11, 227)(4, 220, 12, 228, 15, 231, 8, 224)(7, 223, 16, 232, 24, 240, 18, 234)(10, 226, 22, 238, 14, 230, 21, 237)(13, 229, 25, 241, 17, 233, 26, 242)(20, 236, 29, 245, 32, 248, 31, 247)(23, 239, 33, 249, 30, 246, 34, 250)(27, 243, 37, 253, 36, 252, 38, 254)(28, 244, 39, 255, 35, 251, 40, 256)(41, 257, 49, 265, 44, 260, 50, 266)(42, 258, 51, 267, 43, 259, 52, 268)(45, 261, 53, 269, 48, 264, 54, 270)(46, 262, 55, 271, 47, 263, 56, 272)(57, 273, 65, 281, 60, 276, 66, 282)(58, 274, 67, 283, 59, 275, 68, 284)(61, 277, 69, 285, 64, 280, 70, 286)(62, 278, 71, 287, 63, 279, 72, 288)(73, 289, 78, 294, 76, 292, 86, 302)(74, 290, 84, 300, 75, 291, 81, 297)(77, 293, 118, 334, 89, 305, 119, 335)(79, 295, 127, 343, 88, 304, 129, 345)(80, 296, 117, 333, 82, 298, 120, 336)(83, 299, 130, 346, 87, 303, 134, 350)(85, 301, 126, 342, 91, 307, 131, 347)(90, 306, 132, 348, 94, 310, 125, 341)(92, 308, 135, 351, 93, 309, 137, 353)(95, 311, 138, 354, 96, 312, 136, 352)(97, 313, 139, 355, 98, 314, 128, 344)(99, 315, 142, 358, 100, 316, 133, 349)(101, 317, 145, 361, 102, 318, 141, 357)(103, 319, 146, 362, 104, 320, 140, 356)(105, 321, 147, 363, 106, 322, 144, 360)(107, 323, 148, 364, 108, 324, 143, 359)(109, 325, 151, 367, 110, 326, 150, 366)(111, 327, 152, 368, 112, 328, 149, 365)(113, 329, 155, 371, 114, 330, 154, 370)(115, 331, 156, 372, 116, 332, 153, 369)(121, 337, 159, 375, 122, 338, 158, 374)(123, 339, 160, 376, 124, 340, 157, 373)(161, 377, 166, 382, 164, 380, 168, 384)(162, 378, 165, 381, 163, 379, 167, 383)(169, 385, 176, 392, 172, 388, 178, 394)(170, 386, 175, 391, 171, 387, 177, 393)(173, 389, 213, 429, 182, 398, 216, 432)(174, 390, 215, 431, 181, 397, 214, 430)(179, 395, 209, 425, 187, 403, 211, 427)(180, 396, 212, 428, 188, 404, 210, 426)(183, 399, 207, 423, 185, 401, 205, 421)(184, 400, 206, 422, 186, 402, 208, 424)(189, 405, 203, 419, 191, 407, 201, 417)(190, 406, 202, 418, 192, 408, 204, 420)(193, 409, 198, 414, 195, 411, 200, 416)(194, 410, 199, 415, 196, 412, 197, 413)(433, 649, 435, 651)(434, 650, 439, 655)(436, 652, 442, 658)(437, 653, 445, 661)(438, 654, 446, 662)(440, 656, 449, 665)(441, 657, 452, 668)(443, 659, 455, 671)(444, 660, 456, 672)(447, 663, 451, 667)(448, 664, 459, 675)(450, 666, 460, 676)(453, 669, 462, 678)(454, 670, 464, 680)(457, 673, 467, 683)(458, 674, 468, 684)(461, 677, 473, 689)(463, 679, 474, 690)(465, 681, 475, 691)(466, 682, 476, 692)(469, 685, 477, 693)(470, 686, 478, 694)(471, 687, 479, 695)(472, 688, 480, 696)(481, 697, 489, 705)(482, 698, 490, 706)(483, 699, 491, 707)(484, 700, 492, 708)(485, 701, 493, 709)(486, 702, 494, 710)(487, 703, 495, 711)(488, 704, 496, 712)(497, 713, 505, 721)(498, 714, 506, 722)(499, 715, 507, 723)(500, 716, 508, 724)(501, 717, 549, 765)(502, 718, 550, 766)(503, 719, 551, 767)(504, 720, 552, 768)(509, 725, 557, 773)(510, 726, 558, 774)(511, 727, 560, 776)(512, 728, 562, 778)(513, 729, 563, 779)(514, 730, 564, 780)(515, 731, 565, 781)(516, 732, 561, 777)(517, 733, 567, 783)(518, 734, 559, 775)(519, 735, 568, 784)(520, 736, 569, 785)(521, 737, 566, 782)(522, 738, 570, 786)(523, 739, 571, 787)(524, 740, 572, 788)(525, 741, 573, 789)(526, 742, 574, 790)(527, 743, 575, 791)(528, 744, 576, 792)(529, 745, 577, 793)(530, 746, 578, 794)(531, 747, 579, 795)(532, 748, 580, 796)(533, 749, 581, 797)(534, 750, 582, 798)(535, 751, 583, 799)(536, 752, 584, 800)(537, 753, 585, 801)(538, 754, 586, 802)(539, 755, 587, 803)(540, 756, 588, 804)(541, 757, 589, 805)(542, 758, 590, 806)(543, 759, 591, 807)(544, 760, 592, 808)(545, 761, 593, 809)(546, 762, 594, 810)(547, 763, 595, 811)(548, 764, 596, 812)(553, 769, 601, 817)(554, 770, 602, 818)(555, 771, 603, 819)(556, 772, 604, 820)(597, 813, 645, 861)(598, 814, 646, 862)(599, 815, 647, 863)(600, 816, 648, 864)(605, 821, 637, 853)(606, 822, 638, 854)(607, 823, 641, 857)(608, 824, 642, 858)(609, 825, 644, 860)(610, 826, 643, 859)(611, 827, 633, 849)(612, 828, 634, 850)(613, 829, 639, 855)(614, 830, 640, 856)(615, 831, 632, 848)(616, 832, 631, 847)(617, 833, 629, 845)(618, 834, 630, 846)(619, 835, 636, 852)(620, 836, 635, 851)(621, 837, 628, 844)(622, 838, 627, 843)(623, 839, 625, 841)(624, 840, 626, 842)
	L = (1, 436)(2, 440)(3, 442)(4, 433)(5, 444)(6, 447)(7, 449)(8, 434)(9, 453)(10, 435)(11, 454)(12, 437)(13, 456)(14, 451)(15, 438)(16, 457)(17, 439)(18, 458)(19, 446)(20, 462)(21, 441)(22, 443)(23, 464)(24, 445)(25, 448)(26, 450)(27, 467)(28, 468)(29, 465)(30, 452)(31, 466)(32, 455)(33, 461)(34, 463)(35, 459)(36, 460)(37, 471)(38, 472)(39, 469)(40, 470)(41, 475)(42, 476)(43, 473)(44, 474)(45, 479)(46, 480)(47, 477)(48, 478)(49, 483)(50, 484)(51, 481)(52, 482)(53, 487)(54, 488)(55, 485)(56, 486)(57, 491)(58, 492)(59, 489)(60, 490)(61, 495)(62, 496)(63, 493)(64, 494)(65, 499)(66, 500)(67, 497)(68, 498)(69, 503)(70, 504)(71, 501)(72, 502)(73, 507)(74, 508)(75, 505)(76, 506)(77, 512)(78, 516)(79, 517)(80, 509)(81, 518)(82, 521)(83, 522)(84, 510)(85, 511)(86, 513)(87, 526)(88, 523)(89, 514)(90, 515)(91, 520)(92, 529)(93, 530)(94, 519)(95, 531)(96, 532)(97, 524)(98, 525)(99, 527)(100, 528)(101, 535)(102, 536)(103, 533)(104, 534)(105, 539)(106, 540)(107, 537)(108, 538)(109, 543)(110, 544)(111, 541)(112, 542)(113, 547)(114, 548)(115, 545)(116, 546)(117, 551)(118, 552)(119, 549)(120, 550)(121, 555)(122, 556)(123, 553)(124, 554)(125, 562)(126, 561)(127, 563)(128, 567)(129, 558)(130, 557)(131, 559)(132, 566)(133, 570)(134, 564)(135, 560)(136, 574)(137, 571)(138, 565)(139, 569)(140, 577)(141, 578)(142, 568)(143, 579)(144, 580)(145, 572)(146, 573)(147, 575)(148, 576)(149, 583)(150, 584)(151, 581)(152, 582)(153, 587)(154, 588)(155, 585)(156, 586)(157, 591)(158, 592)(159, 589)(160, 590)(161, 595)(162, 596)(163, 593)(164, 594)(165, 598)(166, 597)(167, 600)(168, 599)(169, 603)(170, 604)(171, 601)(172, 602)(173, 606)(174, 605)(175, 608)(176, 607)(177, 610)(178, 609)(179, 612)(180, 611)(181, 614)(182, 613)(183, 616)(184, 615)(185, 618)(186, 617)(187, 620)(188, 619)(189, 622)(190, 621)(191, 624)(192, 623)(193, 626)(194, 625)(195, 628)(196, 627)(197, 630)(198, 629)(199, 632)(200, 631)(201, 634)(202, 633)(203, 636)(204, 635)(205, 638)(206, 637)(207, 640)(208, 639)(209, 642)(210, 641)(211, 644)(212, 643)(213, 646)(214, 645)(215, 648)(216, 647)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E28.2959
Graph:: simple bipartite
	v = 162 e = 432 f = 216
	degree seq :: [ 4^108, 8^54 ]

E28.2961 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (Y3 * Y2)^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1)^4, (Y1 * Y2)^6, Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1, (Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 217, 2, 218)(3, 219, 7, 223)(4, 220, 9, 225)(5, 221, 10, 226)(6, 222, 12, 228)(8, 224, 15, 231)(11, 227, 20, 236)(13, 229, 23, 239)(14, 230, 25, 241)(16, 232, 28, 244)(17, 233, 22, 238)(18, 234, 30, 246)(19, 235, 32, 248)(21, 237, 35, 251)(24, 240, 39, 255)(26, 242, 42, 258)(27, 243, 41, 257)(29, 245, 46, 262)(31, 247, 49, 265)(33, 249, 52, 268)(34, 250, 51, 267)(36, 252, 56, 272)(37, 253, 47, 263)(38, 254, 58, 274)(40, 256, 61, 277)(43, 259, 65, 281)(44, 260, 66, 282)(45, 261, 68, 284)(48, 264, 72, 288)(50, 266, 70, 286)(53, 269, 77, 293)(54, 270, 78, 294)(55, 271, 62, 278)(57, 273, 81, 297)(59, 275, 84, 300)(60, 276, 83, 299)(63, 279, 87, 303)(64, 280, 89, 305)(67, 283, 93, 309)(69, 285, 94, 310)(71, 287, 96, 312)(73, 289, 99, 315)(74, 290, 98, 314)(75, 291, 101, 317)(76, 292, 103, 319)(79, 295, 107, 323)(80, 296, 108, 324)(82, 298, 91, 307)(85, 301, 113, 329)(86, 302, 114, 330)(88, 304, 116, 332)(90, 306, 117, 333)(92, 308, 119, 335)(95, 311, 124, 340)(97, 313, 105, 321)(100, 316, 129, 345)(102, 318, 131, 347)(104, 320, 132, 348)(106, 322, 134, 350)(109, 325, 139, 355)(110, 326, 126, 342)(111, 327, 141, 357)(112, 328, 143, 359)(115, 331, 147, 363)(118, 334, 152, 368)(120, 336, 155, 371)(121, 337, 154, 370)(122, 338, 137, 353)(123, 339, 158, 374)(125, 341, 145, 361)(127, 343, 159, 375)(128, 344, 140, 356)(130, 346, 163, 379)(133, 349, 167, 383)(135, 351, 150, 366)(136, 352, 169, 385)(138, 354, 172, 388)(142, 358, 175, 391)(144, 360, 176, 392)(146, 362, 168, 384)(148, 364, 180, 396)(149, 365, 179, 395)(151, 367, 183, 399)(153, 369, 160, 376)(156, 372, 187, 403)(157, 373, 188, 404)(161, 377, 190, 406)(162, 378, 191, 407)(164, 380, 194, 410)(165, 381, 193, 409)(166, 382, 196, 412)(170, 386, 199, 415)(171, 387, 200, 416)(173, 389, 184, 400)(174, 390, 201, 417)(177, 393, 197, 413)(178, 394, 185, 401)(181, 397, 186, 402)(182, 398, 195, 411)(189, 405, 206, 422)(192, 408, 198, 414)(202, 418, 207, 423)(203, 419, 212, 428)(204, 420, 213, 429)(205, 421, 214, 430)(208, 424, 215, 431)(209, 425, 216, 432)(210, 426, 211, 427)(433, 649, 435, 651)(434, 650, 437, 653)(436, 652, 440, 656)(438, 654, 443, 659)(439, 655, 445, 661)(441, 657, 448, 664)(442, 658, 450, 666)(444, 660, 453, 669)(446, 662, 456, 672)(447, 663, 458, 674)(449, 665, 461, 677)(451, 667, 463, 679)(452, 668, 465, 681)(454, 670, 468, 684)(455, 671, 469, 685)(457, 673, 472, 688)(459, 675, 475, 691)(460, 676, 476, 692)(462, 678, 479, 695)(464, 680, 482, 698)(466, 682, 485, 701)(467, 683, 486, 702)(470, 686, 489, 705)(471, 687, 491, 707)(473, 689, 494, 710)(474, 690, 495, 711)(477, 693, 499, 715)(478, 694, 501, 717)(480, 696, 503, 719)(481, 697, 505, 721)(483, 699, 500, 716)(484, 700, 507, 723)(487, 703, 511, 727)(488, 704, 512, 728)(490, 706, 514, 730)(492, 708, 517, 733)(493, 709, 518, 734)(496, 712, 520, 736)(497, 713, 522, 738)(498, 714, 519, 735)(502, 718, 527, 743)(504, 720, 529, 745)(506, 722, 532, 748)(508, 724, 534, 750)(509, 725, 536, 752)(510, 726, 533, 749)(513, 729, 541, 757)(515, 731, 521, 737)(516, 732, 543, 759)(523, 739, 550, 766)(524, 740, 547, 763)(525, 741, 552, 768)(526, 742, 554, 770)(528, 744, 557, 773)(530, 746, 535, 751)(531, 747, 559, 775)(537, 753, 565, 781)(538, 754, 562, 778)(539, 755, 567, 783)(540, 756, 569, 785)(542, 758, 572, 788)(544, 760, 574, 790)(545, 761, 576, 792)(546, 762, 573, 789)(548, 764, 580, 796)(549, 765, 582, 798)(551, 767, 585, 801)(553, 769, 588, 804)(555, 771, 589, 805)(556, 772, 591, 807)(558, 774, 575, 791)(560, 776, 593, 809)(561, 777, 594, 810)(563, 779, 596, 812)(564, 780, 587, 803)(566, 782, 600, 816)(568, 784, 602, 818)(570, 786, 603, 819)(571, 787, 605, 821)(577, 793, 609, 825)(578, 794, 606, 822)(579, 795, 610, 826)(581, 797, 613, 829)(583, 799, 614, 830)(584, 800, 616, 832)(586, 802, 590, 806)(592, 808, 621, 837)(595, 811, 624, 840)(597, 813, 627, 843)(598, 814, 618, 834)(599, 815, 629, 845)(601, 817, 604, 820)(607, 823, 634, 850)(608, 824, 612, 828)(611, 827, 615, 831)(617, 833, 637, 853)(619, 835, 636, 852)(620, 836, 635, 851)(622, 838, 639, 855)(623, 839, 626, 842)(625, 841, 628, 844)(630, 846, 642, 858)(631, 847, 641, 857)(632, 848, 640, 856)(633, 849, 643, 859)(638, 854, 646, 862)(644, 860, 645, 861)(647, 863, 648, 864)
	L = (1, 436)(2, 438)(3, 440)(4, 433)(5, 443)(6, 434)(7, 446)(8, 435)(9, 449)(10, 451)(11, 437)(12, 454)(13, 456)(14, 439)(15, 459)(16, 461)(17, 441)(18, 463)(19, 442)(20, 466)(21, 468)(22, 444)(23, 470)(24, 445)(25, 473)(26, 475)(27, 447)(28, 477)(29, 448)(30, 480)(31, 450)(32, 483)(33, 485)(34, 452)(35, 487)(36, 453)(37, 489)(38, 455)(39, 492)(40, 494)(41, 457)(42, 496)(43, 458)(44, 499)(45, 460)(46, 502)(47, 503)(48, 462)(49, 506)(50, 500)(51, 464)(52, 508)(53, 465)(54, 511)(55, 467)(56, 493)(57, 469)(58, 515)(59, 517)(60, 471)(61, 488)(62, 472)(63, 520)(64, 474)(65, 523)(66, 524)(67, 476)(68, 482)(69, 527)(70, 478)(71, 479)(72, 530)(73, 532)(74, 481)(75, 534)(76, 484)(77, 537)(78, 538)(79, 486)(80, 518)(81, 542)(82, 521)(83, 490)(84, 544)(85, 491)(86, 512)(87, 547)(88, 495)(89, 514)(90, 550)(91, 497)(92, 498)(93, 553)(94, 555)(95, 501)(96, 558)(97, 535)(98, 504)(99, 560)(100, 505)(101, 562)(102, 507)(103, 529)(104, 565)(105, 509)(106, 510)(107, 568)(108, 570)(109, 572)(110, 513)(111, 574)(112, 516)(113, 577)(114, 578)(115, 519)(116, 581)(117, 583)(118, 522)(119, 586)(120, 588)(121, 525)(122, 589)(123, 526)(124, 592)(125, 575)(126, 528)(127, 593)(128, 531)(129, 571)(130, 533)(131, 597)(132, 598)(133, 536)(134, 601)(135, 602)(136, 539)(137, 603)(138, 540)(139, 561)(140, 541)(141, 606)(142, 543)(143, 557)(144, 609)(145, 545)(146, 546)(147, 611)(148, 613)(149, 548)(150, 614)(151, 549)(152, 617)(153, 590)(154, 551)(155, 618)(156, 552)(157, 554)(158, 585)(159, 621)(160, 556)(161, 559)(162, 605)(163, 625)(164, 627)(165, 563)(166, 564)(167, 630)(168, 604)(169, 566)(170, 567)(171, 569)(172, 600)(173, 594)(174, 573)(175, 635)(176, 636)(177, 576)(178, 615)(179, 579)(180, 619)(181, 580)(182, 582)(183, 610)(184, 637)(185, 584)(186, 587)(187, 612)(188, 634)(189, 591)(190, 640)(191, 641)(192, 628)(193, 595)(194, 631)(195, 596)(196, 624)(197, 642)(198, 599)(199, 626)(200, 639)(201, 644)(202, 620)(203, 607)(204, 608)(205, 616)(206, 647)(207, 632)(208, 622)(209, 623)(210, 629)(211, 645)(212, 633)(213, 643)(214, 648)(215, 638)(216, 646)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.2965
Graph:: simple bipartite
	v = 216 e = 432 f = 162
	degree seq :: [ 4^216 ]

E28.2962 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y3^-1)^2, (R * Y1)^2, (R * Y3)^2, R * Y1 * Y3 * R * Y3 * Y1, Y3^6, Y3^2 * Y2 * R * Y2 * R, R * Y2 * R * Y3^-2 * Y2 * Y3^2, Y3^2 * Y1 * Y3^-1 * Y2 * Y3 * Y1 * Y2, (Y3^-1 * Y1)^4, Y3^-1 * Y1 * Y3 * Y1 * Y3^2 * Y1 * Y2 * Y1, Y2 * R * Y1 * R * Y1 * Y2 * Y1 * R * Y1 * R, (Y1 * Y3 * Y2 * Y1 * Y2)^2, Y3 * Y1 * Y3^-1 * R * Y1 * Y2 * Y1 * R * Y3^2 * Y1, (Y2 * Y1)^6 ]
Map:: polyhedral non-degenerate
	R = (1, 217, 2, 218)(3, 219, 9, 225)(4, 220, 12, 228)(5, 221, 14, 230)(6, 222, 16, 232)(7, 223, 19, 235)(8, 224, 21, 237)(10, 226, 26, 242)(11, 227, 28, 244)(13, 229, 33, 249)(15, 231, 38, 254)(17, 233, 42, 258)(18, 234, 44, 260)(20, 236, 49, 265)(22, 238, 54, 270)(23, 239, 55, 271)(24, 240, 58, 274)(25, 241, 60, 276)(27, 243, 43, 259)(29, 245, 69, 285)(30, 246, 70, 286)(31, 247, 53, 269)(32, 248, 73, 289)(34, 250, 75, 291)(35, 251, 76, 292)(36, 252, 79, 295)(37, 253, 47, 263)(39, 255, 85, 301)(40, 256, 88, 304)(41, 257, 84, 300)(45, 261, 97, 313)(46, 262, 72, 288)(48, 264, 99, 315)(50, 266, 101, 317)(51, 267, 102, 318)(52, 268, 61, 277)(56, 272, 112, 328)(57, 273, 94, 310)(59, 275, 117, 333)(62, 278, 121, 337)(63, 279, 120, 336)(64, 280, 124, 340)(65, 281, 125, 341)(66, 282, 87, 303)(67, 283, 128, 344)(68, 284, 115, 331)(71, 287, 136, 352)(74, 290, 139, 355)(77, 293, 142, 358)(78, 294, 143, 359)(80, 296, 146, 362)(81, 297, 148, 364)(82, 298, 149, 365)(83, 299, 151, 367)(86, 302, 156, 372)(89, 305, 160, 376)(90, 306, 161, 377)(91, 307, 131, 347)(92, 308, 162, 378)(93, 309, 163, 379)(95, 311, 166, 382)(96, 312, 158, 374)(98, 314, 169, 385)(100, 316, 132, 348)(103, 319, 113, 329)(104, 320, 172, 388)(105, 321, 173, 389)(106, 322, 144, 360)(107, 323, 175, 391)(108, 324, 176, 392)(109, 325, 153, 369)(110, 326, 178, 394)(111, 327, 133, 349)(114, 330, 123, 339)(116, 332, 152, 368)(118, 334, 167, 383)(119, 335, 155, 371)(122, 338, 186, 402)(126, 342, 141, 357)(127, 343, 187, 403)(129, 345, 145, 361)(130, 346, 138, 354)(134, 350, 157, 373)(135, 351, 191, 407)(137, 353, 159, 375)(140, 356, 181, 397)(147, 363, 195, 411)(150, 366, 168, 384)(154, 370, 197, 413)(164, 380, 171, 387)(165, 381, 204, 420)(170, 386, 200, 416)(174, 390, 210, 426)(177, 393, 209, 425)(179, 395, 198, 414)(180, 396, 211, 427)(182, 398, 201, 417)(183, 399, 188, 404)(184, 400, 207, 423)(185, 401, 203, 419)(189, 405, 214, 430)(190, 406, 205, 421)(192, 408, 202, 418)(193, 409, 215, 431)(194, 410, 196, 412)(199, 415, 213, 429)(206, 422, 216, 432)(208, 424, 212, 428)(433, 649, 435, 651)(434, 650, 438, 654)(436, 652, 443, 659)(437, 653, 442, 658)(439, 655, 450, 666)(440, 656, 449, 665)(441, 657, 455, 671)(444, 660, 462, 678)(445, 661, 461, 677)(446, 662, 467, 683)(447, 663, 459, 675)(448, 664, 471, 687)(451, 667, 478, 694)(452, 668, 477, 693)(453, 669, 483, 699)(454, 670, 475, 691)(456, 672, 489, 705)(457, 673, 488, 704)(458, 674, 494, 710)(460, 676, 498, 714)(463, 679, 503, 719)(464, 680, 496, 712)(465, 681, 493, 709)(466, 682, 497, 713)(468, 684, 510, 726)(469, 685, 509, 725)(470, 686, 514, 730)(472, 688, 519, 735)(473, 689, 518, 734)(474, 690, 522, 738)(476, 692, 526, 742)(479, 695, 530, 746)(480, 696, 524, 740)(481, 697, 511, 727)(482, 698, 525, 741)(484, 700, 536, 752)(485, 701, 535, 751)(486, 702, 539, 755)(487, 703, 541, 757)(490, 706, 546, 762)(491, 707, 545, 761)(492, 708, 551, 767)(495, 711, 554, 770)(499, 715, 559, 775)(500, 716, 558, 774)(501, 717, 563, 779)(502, 718, 566, 782)(504, 720, 555, 771)(505, 721, 569, 785)(506, 722, 550, 766)(507, 723, 562, 778)(508, 724, 542, 758)(512, 728, 576, 792)(513, 729, 557, 773)(515, 731, 582, 798)(516, 732, 565, 781)(517, 733, 585, 801)(520, 736, 589, 805)(521, 737, 574, 790)(523, 739, 567, 783)(527, 743, 597, 813)(528, 744, 596, 812)(529, 745, 552, 768)(531, 747, 584, 800)(532, 748, 577, 793)(533, 749, 600, 816)(534, 750, 586, 802)(537, 753, 580, 796)(538, 754, 595, 811)(540, 756, 570, 786)(543, 759, 609, 825)(544, 760, 612, 828)(547, 763, 614, 830)(548, 764, 613, 829)(549, 765, 560, 776)(553, 769, 616, 832)(556, 772, 606, 822)(561, 777, 620, 836)(564, 780, 622, 838)(568, 784, 619, 835)(571, 787, 615, 831)(572, 788, 621, 837)(573, 789, 611, 827)(575, 791, 618, 834)(578, 794, 583, 799)(579, 795, 594, 810)(581, 797, 617, 833)(587, 803, 628, 844)(588, 804, 631, 847)(590, 806, 633, 849)(591, 807, 632, 848)(592, 808, 598, 814)(593, 809, 634, 850)(599, 815, 637, 853)(601, 817, 636, 852)(602, 818, 638, 854)(603, 819, 630, 846)(604, 820, 623, 839)(605, 821, 608, 824)(607, 823, 635, 851)(610, 826, 639, 855)(624, 840, 629, 845)(625, 841, 645, 861)(626, 842, 644, 860)(627, 843, 646, 862)(640, 856, 643, 859)(641, 857, 647, 863)(642, 858, 648, 864)
	L = (1, 436)(2, 439)(3, 442)(4, 445)(5, 433)(6, 449)(7, 452)(8, 434)(9, 456)(10, 459)(11, 435)(12, 463)(13, 466)(14, 468)(15, 437)(16, 472)(17, 475)(18, 438)(19, 479)(20, 482)(21, 484)(22, 440)(23, 488)(24, 491)(25, 441)(26, 495)(27, 497)(28, 499)(29, 443)(30, 496)(31, 504)(32, 444)(33, 506)(34, 447)(35, 509)(36, 512)(37, 446)(38, 515)(39, 518)(40, 521)(41, 448)(42, 523)(43, 525)(44, 527)(45, 450)(46, 524)(47, 502)(48, 451)(49, 532)(50, 454)(51, 535)(52, 537)(53, 453)(54, 540)(55, 542)(56, 465)(57, 455)(58, 547)(59, 550)(60, 486)(61, 457)(62, 464)(63, 555)(64, 458)(65, 461)(66, 558)(67, 561)(68, 460)(69, 564)(70, 567)(71, 462)(72, 554)(73, 570)(74, 545)(75, 572)(76, 541)(77, 557)(78, 467)(79, 473)(80, 579)(81, 469)(82, 565)(83, 584)(84, 470)(85, 586)(86, 481)(87, 471)(88, 590)(89, 577)(90, 480)(91, 566)(92, 474)(93, 477)(94, 596)(95, 599)(96, 476)(97, 571)(98, 478)(99, 582)(100, 574)(101, 602)(102, 585)(103, 595)(104, 483)(105, 606)(106, 485)(107, 551)(108, 569)(109, 609)(110, 611)(111, 487)(112, 581)(113, 489)(114, 613)(115, 553)(116, 490)(117, 583)(118, 493)(119, 529)(120, 492)(121, 617)(122, 494)(123, 503)(124, 580)(125, 594)(126, 507)(127, 498)(128, 543)(129, 621)(130, 500)(131, 516)(132, 531)(133, 501)(134, 530)(135, 522)(136, 624)(137, 615)(138, 539)(139, 505)(140, 620)(141, 508)(142, 519)(143, 625)(144, 510)(145, 511)(146, 560)(147, 513)(148, 536)(149, 616)(150, 514)(151, 573)(152, 622)(153, 628)(154, 630)(155, 517)(156, 607)(157, 632)(158, 593)(159, 520)(160, 608)(161, 635)(162, 576)(163, 556)(164, 533)(165, 526)(166, 587)(167, 638)(168, 528)(169, 639)(170, 637)(171, 534)(172, 640)(173, 598)(174, 538)(175, 634)(176, 603)(177, 549)(178, 636)(179, 578)(180, 548)(181, 544)(182, 546)(183, 552)(184, 614)(185, 612)(186, 644)(187, 645)(188, 559)(189, 562)(190, 563)(191, 647)(192, 646)(193, 568)(194, 575)(195, 629)(196, 592)(197, 619)(198, 605)(199, 591)(200, 588)(201, 589)(202, 633)(203, 631)(204, 643)(205, 597)(206, 600)(207, 648)(208, 601)(209, 604)(210, 610)(211, 623)(212, 627)(213, 618)(214, 626)(215, 642)(216, 641)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.2966
Graph:: simple bipartite
	v = 216 e = 432 f = 162
	degree seq :: [ 4^216 ]

E28.2963 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3 * Y1)^4, (Y3 * Y1 * Y2 * Y1)^3, (Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2)^2, Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 217, 2, 218)(3, 219, 7, 223)(4, 220, 9, 225)(5, 221, 10, 226)(6, 222, 12, 228)(8, 224, 15, 231)(11, 227, 20, 236)(13, 229, 23, 239)(14, 230, 25, 241)(16, 232, 28, 244)(17, 233, 22, 238)(18, 234, 30, 246)(19, 235, 32, 248)(21, 237, 35, 251)(24, 240, 39, 255)(26, 242, 42, 258)(27, 243, 41, 257)(29, 245, 46, 262)(31, 247, 49, 265)(33, 249, 52, 268)(34, 250, 51, 267)(36, 252, 56, 272)(37, 253, 57, 273)(38, 254, 59, 275)(40, 256, 55, 271)(43, 259, 65, 281)(44, 260, 66, 282)(45, 261, 50, 266)(47, 263, 70, 286)(48, 264, 72, 288)(53, 269, 78, 294)(54, 270, 79, 295)(58, 274, 85, 301)(60, 276, 88, 304)(61, 277, 87, 303)(62, 278, 82, 298)(63, 279, 90, 306)(64, 280, 86, 302)(67, 283, 96, 312)(68, 284, 97, 313)(69, 285, 75, 291)(71, 287, 101, 317)(73, 289, 104, 320)(74, 290, 103, 319)(76, 292, 106, 322)(77, 293, 102, 318)(80, 296, 112, 328)(81, 297, 113, 329)(83, 299, 115, 331)(84, 300, 117, 333)(89, 305, 123, 339)(91, 307, 126, 342)(92, 308, 127, 343)(93, 309, 120, 336)(94, 310, 129, 345)(95, 311, 131, 347)(98, 314, 136, 352)(99, 315, 137, 353)(100, 316, 139, 355)(105, 321, 145, 361)(107, 323, 148, 364)(108, 324, 149, 365)(109, 325, 142, 358)(110, 326, 151, 367)(111, 327, 153, 369)(114, 330, 158, 374)(116, 332, 146, 362)(118, 334, 143, 359)(119, 335, 162, 378)(121, 337, 140, 356)(122, 338, 161, 377)(124, 340, 138, 354)(125, 341, 168, 384)(128, 344, 150, 366)(130, 346, 173, 389)(132, 348, 176, 392)(133, 349, 175, 391)(134, 350, 178, 394)(135, 351, 174, 390)(141, 357, 183, 399)(144, 360, 182, 398)(147, 363, 189, 405)(152, 368, 194, 410)(154, 370, 197, 413)(155, 371, 196, 412)(156, 372, 199, 415)(157, 373, 195, 411)(159, 375, 201, 417)(160, 376, 202, 418)(163, 379, 200, 416)(164, 380, 204, 420)(165, 381, 205, 421)(166, 382, 203, 419)(167, 383, 206, 422)(169, 385, 207, 423)(170, 386, 192, 408)(171, 387, 191, 407)(172, 388, 193, 409)(177, 393, 198, 414)(179, 395, 184, 400)(180, 396, 209, 425)(181, 397, 210, 426)(185, 401, 212, 428)(186, 402, 213, 429)(187, 403, 211, 427)(188, 404, 214, 430)(190, 406, 215, 431)(208, 424, 216, 432)(433, 649, 435, 651)(434, 650, 437, 653)(436, 652, 440, 656)(438, 654, 443, 659)(439, 655, 445, 661)(441, 657, 448, 664)(442, 658, 450, 666)(444, 660, 453, 669)(446, 662, 456, 672)(447, 663, 458, 674)(449, 665, 461, 677)(451, 667, 463, 679)(452, 668, 465, 681)(454, 670, 468, 684)(455, 671, 469, 685)(457, 673, 472, 688)(459, 675, 475, 691)(460, 676, 476, 692)(462, 678, 479, 695)(464, 680, 482, 698)(466, 682, 485, 701)(467, 683, 486, 702)(470, 686, 490, 706)(471, 687, 492, 708)(473, 689, 494, 710)(474, 690, 495, 711)(477, 693, 499, 715)(478, 694, 500, 716)(480, 696, 503, 719)(481, 697, 505, 721)(483, 699, 507, 723)(484, 700, 508, 724)(487, 703, 512, 728)(488, 704, 513, 729)(489, 705, 515, 731)(491, 707, 518, 734)(493, 709, 521, 737)(496, 712, 523, 739)(497, 713, 524, 740)(498, 714, 526, 742)(501, 717, 530, 746)(502, 718, 531, 747)(504, 720, 534, 750)(506, 722, 537, 753)(509, 725, 539, 755)(510, 726, 540, 756)(511, 727, 542, 758)(514, 730, 546, 762)(516, 732, 548, 764)(517, 733, 550, 766)(519, 735, 552, 768)(520, 736, 553, 769)(522, 738, 556, 772)(525, 741, 560, 776)(527, 743, 562, 778)(528, 744, 564, 780)(529, 745, 566, 782)(532, 748, 570, 786)(533, 749, 572, 788)(535, 751, 574, 790)(536, 752, 575, 791)(538, 754, 578, 794)(541, 757, 582, 798)(543, 759, 584, 800)(544, 760, 586, 802)(545, 761, 588, 804)(547, 763, 591, 807)(549, 765, 593, 809)(551, 767, 595, 811)(554, 770, 596, 812)(555, 771, 597, 813)(557, 773, 599, 815)(558, 774, 601, 817)(559, 775, 603, 819)(561, 777, 592, 808)(563, 779, 606, 822)(565, 781, 609, 825)(567, 783, 611, 827)(568, 784, 598, 814)(569, 785, 612, 828)(571, 787, 614, 830)(573, 789, 616, 832)(576, 792, 617, 833)(577, 793, 618, 834)(579, 795, 620, 836)(580, 796, 622, 838)(581, 797, 624, 840)(583, 799, 613, 829)(585, 801, 627, 843)(587, 803, 630, 846)(589, 805, 632, 848)(590, 806, 619, 835)(594, 810, 635, 851)(600, 816, 625, 841)(602, 818, 626, 842)(604, 820, 621, 837)(605, 821, 623, 839)(607, 823, 637, 853)(608, 824, 639, 855)(610, 826, 638, 854)(615, 831, 643, 859)(628, 844, 645, 861)(629, 845, 647, 863)(631, 847, 646, 862)(633, 849, 648, 864)(634, 850, 644, 860)(636, 852, 642, 858)(640, 856, 641, 857)
	L = (1, 436)(2, 438)(3, 440)(4, 433)(5, 443)(6, 434)(7, 446)(8, 435)(9, 449)(10, 451)(11, 437)(12, 454)(13, 456)(14, 439)(15, 459)(16, 461)(17, 441)(18, 463)(19, 442)(20, 466)(21, 468)(22, 444)(23, 470)(24, 445)(25, 473)(26, 475)(27, 447)(28, 477)(29, 448)(30, 480)(31, 450)(32, 483)(33, 485)(34, 452)(35, 487)(36, 453)(37, 490)(38, 455)(39, 493)(40, 494)(41, 457)(42, 496)(43, 458)(44, 499)(45, 460)(46, 501)(47, 503)(48, 462)(49, 506)(50, 507)(51, 464)(52, 509)(53, 465)(54, 512)(55, 467)(56, 514)(57, 516)(58, 469)(59, 519)(60, 521)(61, 471)(62, 472)(63, 523)(64, 474)(65, 525)(66, 527)(67, 476)(68, 530)(69, 478)(70, 532)(71, 479)(72, 535)(73, 537)(74, 481)(75, 482)(76, 539)(77, 484)(78, 541)(79, 543)(80, 486)(81, 546)(82, 488)(83, 548)(84, 489)(85, 551)(86, 552)(87, 491)(88, 554)(89, 492)(90, 557)(91, 495)(92, 560)(93, 497)(94, 562)(95, 498)(96, 565)(97, 567)(98, 500)(99, 570)(100, 502)(101, 573)(102, 574)(103, 504)(104, 576)(105, 505)(106, 579)(107, 508)(108, 582)(109, 510)(110, 584)(111, 511)(112, 587)(113, 589)(114, 513)(115, 592)(116, 515)(117, 594)(118, 595)(119, 517)(120, 518)(121, 596)(122, 520)(123, 598)(124, 599)(125, 522)(126, 602)(127, 604)(128, 524)(129, 591)(130, 526)(131, 607)(132, 609)(133, 528)(134, 611)(135, 529)(136, 597)(137, 613)(138, 531)(139, 615)(140, 616)(141, 533)(142, 534)(143, 617)(144, 536)(145, 619)(146, 620)(147, 538)(148, 623)(149, 625)(150, 540)(151, 612)(152, 542)(153, 628)(154, 630)(155, 544)(156, 632)(157, 545)(158, 618)(159, 561)(160, 547)(161, 635)(162, 549)(163, 550)(164, 553)(165, 568)(166, 555)(167, 556)(168, 624)(169, 626)(170, 558)(171, 621)(172, 559)(173, 622)(174, 637)(175, 563)(176, 640)(177, 564)(178, 636)(179, 566)(180, 583)(181, 569)(182, 643)(183, 571)(184, 572)(185, 575)(186, 590)(187, 577)(188, 578)(189, 603)(190, 605)(191, 580)(192, 600)(193, 581)(194, 601)(195, 645)(196, 585)(197, 648)(198, 586)(199, 644)(200, 588)(201, 647)(202, 646)(203, 593)(204, 610)(205, 606)(206, 642)(207, 641)(208, 608)(209, 639)(210, 638)(211, 614)(212, 631)(213, 627)(214, 634)(215, 633)(216, 629)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.2964
Graph:: simple bipartite
	v = 216 e = 432 f = 162
	degree seq :: [ 4^216 ]

E28.2964 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (Y3 * Y1^-1)^2, Y1^4, (R * Y3)^2, (R * Y1)^2, Y1 * Y2 * Y1^-2 * Y2 * Y1^-2 * Y2 * Y1, (Y1 * Y2 * Y1^-1 * Y2)^3, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 217, 2, 218, 6, 222, 5, 221)(3, 219, 9, 225, 19, 235, 11, 227)(4, 220, 12, 228, 15, 231, 8, 224)(7, 223, 16, 232, 30, 246, 18, 234)(10, 226, 22, 238, 36, 252, 21, 237)(13, 229, 25, 241, 45, 261, 26, 242)(14, 230, 27, 243, 35, 251, 29, 245)(17, 233, 33, 249, 52, 268, 32, 248)(20, 236, 37, 253, 60, 276, 39, 255)(23, 239, 41, 257, 67, 283, 42, 258)(24, 240, 43, 259, 70, 286, 44, 260)(28, 244, 50, 266, 59, 275, 49, 265)(31, 247, 53, 269, 83, 299, 55, 271)(34, 250, 57, 273, 90, 306, 58, 274)(38, 254, 63, 279, 93, 309, 62, 278)(40, 256, 65, 281, 99, 315, 66, 282)(46, 262, 73, 289, 110, 326, 74, 290)(47, 263, 75, 291, 112, 328, 76, 292)(48, 264, 77, 293, 115, 331, 79, 295)(51, 267, 81, 297, 122, 338, 82, 298)(54, 270, 86, 302, 125, 341, 85, 301)(56, 272, 88, 304, 131, 347, 89, 305)(61, 277, 94, 310, 137, 353, 96, 312)(64, 280, 91, 307, 134, 350, 98, 314)(68, 284, 102, 318, 148, 364, 103, 319)(69, 285, 104, 320, 150, 366, 105, 321)(71, 287, 106, 322, 153, 369, 107, 323)(72, 288, 108, 324, 156, 372, 109, 325)(78, 294, 118, 334, 163, 379, 117, 333)(80, 296, 120, 336, 168, 384, 121, 337)(84, 300, 126, 342, 173, 389, 128, 344)(87, 303, 123, 339, 171, 387, 130, 346)(92, 308, 135, 351, 143, 359, 136, 352)(95, 311, 140, 356, 183, 399, 139, 355)(97, 313, 142, 358, 181, 397, 133, 349)(100, 316, 144, 360, 189, 405, 145, 361)(101, 317, 146, 362, 192, 408, 147, 363)(111, 327, 158, 374, 149, 365, 159, 375)(113, 329, 160, 376, 167, 383, 119, 335)(114, 330, 161, 377, 200, 416, 162, 378)(116, 332, 164, 380, 187, 403, 141, 357)(124, 340, 151, 367, 178, 394, 172, 388)(127, 343, 176, 392, 207, 423, 175, 391)(129, 345, 177, 393, 205, 421, 170, 386)(132, 348, 179, 395, 188, 404, 180, 396)(138, 354, 174, 390, 201, 417, 185, 401)(152, 368, 182, 398, 206, 422, 194, 410)(154, 370, 195, 411, 214, 430, 196, 412)(155, 371, 166, 382, 203, 419, 197, 413)(157, 373, 198, 414, 193, 409, 199, 415)(165, 381, 186, 402, 212, 428, 202, 418)(169, 385, 204, 420, 209, 425, 191, 407)(184, 400, 211, 427, 215, 431, 208, 424)(190, 406, 213, 429, 216, 432, 210, 426)(433, 649, 435, 651)(434, 650, 439, 655)(436, 652, 442, 658)(437, 653, 445, 661)(438, 654, 446, 662)(440, 656, 449, 665)(441, 657, 452, 668)(443, 659, 455, 671)(444, 660, 456, 672)(447, 663, 460, 676)(448, 664, 463, 679)(450, 666, 466, 682)(451, 667, 467, 683)(453, 669, 470, 686)(454, 670, 472, 688)(457, 673, 478, 694)(458, 674, 479, 695)(459, 675, 480, 696)(461, 677, 483, 699)(462, 678, 477, 693)(464, 680, 486, 702)(465, 681, 488, 704)(468, 684, 491, 707)(469, 685, 493, 709)(471, 687, 496, 712)(473, 689, 500, 716)(474, 690, 501, 717)(475, 691, 503, 719)(476, 692, 504, 720)(481, 697, 510, 726)(482, 698, 512, 728)(484, 700, 502, 718)(485, 701, 516, 732)(487, 703, 519, 735)(489, 705, 523, 739)(490, 706, 524, 740)(492, 708, 499, 715)(494, 710, 527, 743)(495, 711, 529, 745)(497, 713, 532, 748)(498, 714, 533, 749)(505, 721, 543, 759)(506, 722, 535, 751)(507, 723, 545, 761)(508, 724, 546, 762)(509, 725, 548, 764)(511, 727, 551, 767)(513, 729, 555, 771)(514, 730, 556, 772)(515, 731, 522, 738)(517, 733, 559, 775)(518, 734, 561, 777)(520, 736, 564, 780)(521, 737, 565, 781)(525, 741, 531, 747)(526, 742, 570, 786)(528, 744, 573, 789)(530, 746, 575, 791)(534, 750, 581, 797)(536, 752, 583, 799)(537, 753, 584, 800)(538, 754, 586, 802)(539, 755, 587, 803)(540, 756, 578, 794)(541, 757, 589, 805)(542, 758, 544, 760)(547, 763, 554, 770)(549, 765, 597, 813)(550, 766, 598, 814)(552, 768, 601, 817)(553, 769, 602, 818)(557, 773, 563, 779)(558, 774, 606, 822)(560, 776, 591, 807)(562, 778, 610, 826)(566, 782, 569, 785)(567, 783, 593, 809)(568, 784, 614, 830)(571, 787, 616, 832)(572, 788, 618, 834)(574, 790, 620, 836)(576, 792, 622, 838)(577, 793, 623, 839)(579, 795, 625, 841)(580, 796, 582, 798)(585, 801, 588, 804)(590, 806, 617, 833)(592, 808, 619, 835)(594, 810, 626, 842)(595, 811, 600, 816)(596, 812, 633, 849)(599, 815, 632, 848)(603, 819, 605, 821)(604, 820, 638, 854)(607, 823, 640, 856)(608, 824, 630, 846)(609, 825, 641, 857)(611, 827, 642, 858)(612, 828, 628, 844)(613, 829, 615, 831)(621, 837, 624, 840)(627, 843, 645, 861)(629, 845, 644, 860)(631, 847, 643, 859)(634, 850, 647, 863)(635, 851, 646, 862)(636, 852, 648, 864)(637, 853, 639, 855)
	L = (1, 436)(2, 440)(3, 442)(4, 433)(5, 444)(6, 447)(7, 449)(8, 434)(9, 453)(10, 435)(11, 454)(12, 437)(13, 456)(14, 460)(15, 438)(16, 464)(17, 439)(18, 465)(19, 468)(20, 470)(21, 441)(22, 443)(23, 472)(24, 445)(25, 476)(26, 475)(27, 481)(28, 446)(29, 482)(30, 484)(31, 486)(32, 448)(33, 450)(34, 488)(35, 491)(36, 451)(37, 494)(38, 452)(39, 495)(40, 455)(41, 498)(42, 497)(43, 458)(44, 457)(45, 502)(46, 504)(47, 503)(48, 510)(49, 459)(50, 461)(51, 512)(52, 462)(53, 517)(54, 463)(55, 518)(56, 466)(57, 521)(58, 520)(59, 467)(60, 525)(61, 527)(62, 469)(63, 471)(64, 529)(65, 474)(66, 473)(67, 531)(68, 533)(69, 532)(70, 477)(71, 479)(72, 478)(73, 541)(74, 540)(75, 539)(76, 538)(77, 549)(78, 480)(79, 550)(80, 483)(81, 553)(82, 552)(83, 557)(84, 559)(85, 485)(86, 487)(87, 561)(88, 490)(89, 489)(90, 563)(91, 565)(92, 564)(93, 492)(94, 571)(95, 493)(96, 572)(97, 496)(98, 574)(99, 499)(100, 501)(101, 500)(102, 579)(103, 578)(104, 577)(105, 576)(106, 508)(107, 507)(108, 506)(109, 505)(110, 588)(111, 589)(112, 585)(113, 587)(114, 586)(115, 595)(116, 597)(117, 509)(118, 511)(119, 598)(120, 514)(121, 513)(122, 600)(123, 602)(124, 601)(125, 515)(126, 607)(127, 516)(128, 608)(129, 519)(130, 609)(131, 522)(132, 524)(133, 523)(134, 613)(135, 612)(136, 611)(137, 615)(138, 616)(139, 526)(140, 528)(141, 618)(142, 530)(143, 620)(144, 537)(145, 536)(146, 535)(147, 534)(148, 624)(149, 625)(150, 621)(151, 623)(152, 622)(153, 544)(154, 546)(155, 545)(156, 542)(157, 543)(158, 631)(159, 630)(160, 629)(161, 628)(162, 627)(163, 547)(164, 634)(165, 548)(166, 551)(167, 635)(168, 554)(169, 556)(170, 555)(171, 637)(172, 636)(173, 639)(174, 640)(175, 558)(176, 560)(177, 562)(178, 641)(179, 568)(180, 567)(181, 566)(182, 642)(183, 569)(184, 570)(185, 643)(186, 573)(187, 644)(188, 575)(189, 582)(190, 584)(191, 583)(192, 580)(193, 581)(194, 645)(195, 594)(196, 593)(197, 592)(198, 591)(199, 590)(200, 646)(201, 647)(202, 596)(203, 599)(204, 604)(205, 603)(206, 648)(207, 605)(208, 606)(209, 610)(210, 614)(211, 617)(212, 619)(213, 626)(214, 632)(215, 633)(216, 638)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E28.2963
Graph:: simple bipartite
	v = 162 e = 432 f = 216
	degree seq :: [ 4^108, 8^54 ]

E28.2965 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, Y1^4, Y1^2 * Y3 * Y1^-2 * Y3, Y2 * Y1^-2 * Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y1^-2, (Y2 * Y1)^6, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 217, 2, 218, 6, 222, 5, 221)(3, 219, 9, 225, 19, 235, 11, 227)(4, 220, 12, 228, 15, 231, 8, 224)(7, 223, 16, 232, 30, 246, 18, 234)(10, 226, 22, 238, 36, 252, 21, 237)(13, 229, 25, 241, 45, 261, 26, 242)(14, 230, 27, 243, 48, 264, 29, 245)(17, 233, 33, 249, 54, 270, 32, 248)(20, 236, 37, 253, 61, 277, 39, 255)(23, 239, 41, 257, 68, 284, 42, 258)(24, 240, 43, 259, 53, 269, 44, 260)(28, 244, 51, 267, 35, 251, 50, 266)(31, 247, 55, 271, 83, 299, 57, 273)(34, 250, 59, 275, 90, 306, 60, 276)(38, 254, 64, 280, 94, 310, 63, 279)(40, 256, 66, 282, 93, 309, 67, 283)(46, 262, 73, 289, 110, 326, 74, 290)(47, 263, 75, 291, 113, 329, 76, 292)(49, 265, 77, 293, 115, 331, 79, 295)(52, 268, 81, 297, 122, 338, 82, 298)(56, 272, 86, 302, 126, 342, 85, 301)(58, 274, 88, 304, 125, 341, 89, 305)(62, 278, 95, 311, 137, 353, 97, 313)(65, 281, 99, 315, 143, 359, 100, 316)(69, 285, 103, 319, 149, 365, 104, 320)(70, 286, 105, 321, 128, 344, 84, 300)(71, 287, 106, 322, 153, 369, 107, 323)(72, 288, 108, 324, 155, 371, 109, 325)(78, 294, 118, 334, 164, 380, 117, 333)(80, 296, 120, 336, 163, 379, 121, 337)(87, 303, 130, 346, 179, 395, 131, 347)(91, 307, 134, 350, 185, 401, 135, 351)(92, 308, 136, 352, 166, 382, 116, 332)(96, 312, 139, 355, 190, 406, 138, 354)(98, 314, 141, 357, 189, 405, 142, 358)(101, 317, 127, 343, 175, 391, 146, 362)(102, 318, 147, 363, 176, 392, 148, 364)(111, 327, 124, 340, 174, 390, 158, 374)(112, 328, 159, 375, 200, 416, 160, 376)(114, 330, 161, 377, 191, 407, 162, 378)(119, 335, 168, 384, 204, 420, 169, 385)(123, 339, 172, 388, 208, 424, 173, 389)(129, 345, 177, 393, 152, 368, 178, 394)(132, 348, 165, 381, 201, 417, 182, 398)(133, 349, 183, 399, 202, 418, 184, 400)(140, 356, 186, 402, 154, 370, 192, 408)(144, 360, 180, 396, 205, 421, 194, 410)(145, 361, 188, 404, 203, 419, 167, 383)(150, 366, 171, 387, 207, 423, 196, 412)(151, 367, 187, 403, 209, 425, 197, 413)(156, 372, 181, 397, 210, 426, 198, 414)(157, 373, 199, 415, 206, 422, 170, 386)(193, 409, 214, 430, 215, 431, 211, 427)(195, 411, 213, 429, 216, 432, 212, 428)(433, 649, 435, 651)(434, 650, 439, 655)(436, 652, 442, 658)(437, 653, 445, 661)(438, 654, 446, 662)(440, 656, 449, 665)(441, 657, 452, 668)(443, 659, 455, 671)(444, 660, 456, 672)(447, 663, 460, 676)(448, 664, 463, 679)(450, 666, 466, 682)(451, 667, 467, 683)(453, 669, 470, 686)(454, 670, 472, 688)(457, 673, 478, 694)(458, 674, 479, 695)(459, 675, 481, 697)(461, 677, 484, 700)(462, 678, 485, 701)(464, 680, 488, 704)(465, 681, 490, 706)(468, 684, 480, 696)(469, 685, 494, 710)(471, 687, 497, 713)(473, 689, 501, 717)(474, 690, 502, 718)(475, 691, 503, 719)(476, 692, 504, 720)(477, 693, 486, 702)(482, 698, 510, 726)(483, 699, 512, 728)(487, 703, 516, 732)(489, 705, 519, 735)(491, 707, 523, 739)(492, 708, 524, 740)(493, 709, 525, 741)(495, 711, 528, 744)(496, 712, 530, 746)(498, 714, 533, 749)(499, 715, 534, 750)(500, 716, 526, 742)(505, 721, 543, 759)(506, 722, 544, 760)(507, 723, 546, 762)(508, 724, 527, 743)(509, 725, 548, 764)(511, 727, 551, 767)(513, 729, 555, 771)(514, 730, 556, 772)(515, 731, 557, 773)(517, 733, 559, 775)(518, 734, 561, 777)(520, 736, 564, 780)(521, 737, 565, 781)(522, 738, 558, 774)(529, 745, 572, 788)(531, 747, 576, 792)(532, 748, 577, 793)(535, 751, 582, 798)(536, 752, 583, 799)(537, 753, 584, 800)(538, 754, 570, 786)(539, 755, 586, 802)(540, 756, 588, 804)(541, 757, 589, 805)(542, 758, 585, 801)(545, 761, 587, 803)(547, 763, 595, 811)(549, 765, 597, 813)(550, 766, 599, 815)(552, 768, 602, 818)(553, 769, 603, 819)(554, 770, 596, 812)(560, 776, 608, 824)(562, 778, 612, 828)(563, 779, 613, 829)(566, 782, 618, 834)(567, 783, 619, 835)(568, 784, 620, 836)(569, 785, 621, 837)(571, 787, 623, 839)(573, 789, 601, 817)(574, 790, 625, 841)(575, 791, 622, 838)(578, 794, 611, 827)(579, 795, 627, 843)(580, 796, 604, 820)(581, 797, 607, 823)(590, 806, 628, 844)(591, 807, 626, 842)(592, 808, 609, 825)(593, 809, 616, 832)(594, 810, 629, 845)(598, 814, 634, 850)(600, 816, 637, 853)(605, 821, 641, 857)(606, 822, 642, 858)(610, 826, 643, 859)(614, 830, 636, 852)(615, 831, 644, 860)(617, 833, 633, 849)(624, 840, 645, 861)(630, 846, 646, 862)(631, 847, 640, 856)(632, 848, 638, 854)(635, 851, 647, 863)(639, 855, 648, 864)
	L = (1, 436)(2, 440)(3, 442)(4, 433)(5, 444)(6, 447)(7, 449)(8, 434)(9, 453)(10, 435)(11, 454)(12, 437)(13, 456)(14, 460)(15, 438)(16, 464)(17, 439)(18, 465)(19, 468)(20, 470)(21, 441)(22, 443)(23, 472)(24, 445)(25, 476)(26, 475)(27, 482)(28, 446)(29, 483)(30, 486)(31, 488)(32, 448)(33, 450)(34, 490)(35, 480)(36, 451)(37, 495)(38, 452)(39, 496)(40, 455)(41, 499)(42, 498)(43, 458)(44, 457)(45, 485)(46, 504)(47, 503)(48, 467)(49, 510)(50, 459)(51, 461)(52, 512)(53, 477)(54, 462)(55, 517)(56, 463)(57, 518)(58, 466)(59, 521)(60, 520)(61, 526)(62, 528)(63, 469)(64, 471)(65, 530)(66, 474)(67, 473)(68, 525)(69, 534)(70, 533)(71, 479)(72, 478)(73, 541)(74, 540)(75, 539)(76, 538)(77, 549)(78, 481)(79, 550)(80, 484)(81, 553)(82, 552)(83, 558)(84, 559)(85, 487)(86, 489)(87, 561)(88, 492)(89, 491)(90, 557)(91, 565)(92, 564)(93, 500)(94, 493)(95, 570)(96, 494)(97, 571)(98, 497)(99, 574)(100, 573)(101, 502)(102, 501)(103, 580)(104, 579)(105, 578)(106, 508)(107, 507)(108, 506)(109, 505)(110, 587)(111, 589)(112, 588)(113, 585)(114, 586)(115, 596)(116, 597)(117, 509)(118, 511)(119, 599)(120, 514)(121, 513)(122, 595)(123, 603)(124, 602)(125, 522)(126, 515)(127, 516)(128, 607)(129, 519)(130, 610)(131, 609)(132, 524)(133, 523)(134, 616)(135, 615)(136, 614)(137, 622)(138, 527)(139, 529)(140, 623)(141, 532)(142, 531)(143, 621)(144, 625)(145, 601)(146, 537)(147, 536)(148, 535)(149, 608)(150, 604)(151, 627)(152, 611)(153, 545)(154, 546)(155, 542)(156, 544)(157, 543)(158, 631)(159, 630)(160, 613)(161, 618)(162, 624)(163, 554)(164, 547)(165, 548)(166, 633)(167, 551)(168, 635)(169, 577)(170, 556)(171, 555)(172, 582)(173, 639)(174, 638)(175, 560)(176, 581)(177, 563)(178, 562)(179, 584)(180, 643)(181, 592)(182, 568)(183, 567)(184, 566)(185, 634)(186, 593)(187, 644)(188, 636)(189, 575)(190, 569)(191, 572)(192, 594)(193, 576)(194, 646)(195, 583)(196, 640)(197, 645)(198, 591)(199, 590)(200, 642)(201, 598)(202, 617)(203, 600)(204, 620)(205, 647)(206, 606)(207, 605)(208, 628)(209, 648)(210, 632)(211, 612)(212, 619)(213, 629)(214, 626)(215, 637)(216, 641)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E28.2961
Graph:: simple bipartite
	v = 162 e = 432 f = 216
	degree seq :: [ 4^108, 8^54 ]

E28.2966 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (R * Y3^-1)^2, (Y3 * Y2)^2, Y1^4, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y3^-1 * Y1^-1 * Y2 * Y3 * Y2, Y2 * R * Y3 * Y2 * Y3^-1 * R, Y3^6, R * Y2 * Y1 * R * Y3^-1 * Y1^-1 * Y3 * Y2, Y3^-1 * Y2 * Y1^-1 * Y3 * Y2 * Y3^-2 * Y1, Y3 * Y1^-1 * Y3^-3 * Y2 * Y1 * Y2, Y1^-1 * Y3 * Y1^-1 * Y3^2 * Y1 * Y2 * Y1^-1, Y1^-1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1^-1 * Y2 * Y1^-1, Y2 * R * Y3^-1 * Y1^-2 * Y3^-1 * Y1 * Y3^-1 * R * Y1^-1, Y1^-2 * R * Y2 * Y1^-1 * Y2 * R * Y2 * Y1^-1 * Y3 ]
Map:: polyhedral non-degenerate
	R = (1, 217, 2, 218, 7, 223, 5, 221)(3, 219, 11, 227, 33, 249, 13, 229)(4, 220, 15, 231, 44, 260, 17, 233)(6, 222, 20, 236, 30, 246, 9, 225)(8, 224, 25, 241, 69, 285, 27, 243)(10, 226, 31, 247, 66, 282, 23, 239)(12, 228, 37, 253, 87, 303, 39, 255)(14, 230, 42, 258, 97, 313, 35, 251)(16, 232, 47, 263, 114, 330, 49, 265)(18, 234, 52, 268, 118, 334, 53, 269)(19, 235, 24, 240, 67, 283, 56, 272)(21, 237, 60, 276, 72, 288, 58, 274)(22, 238, 61, 277, 126, 342, 63, 279)(26, 242, 73, 289, 138, 354, 75, 291)(28, 244, 78, 294, 146, 362, 71, 287)(29, 245, 80, 296, 156, 372, 82, 298)(32, 248, 88, 304, 129, 345, 86, 302)(34, 250, 92, 308, 57, 273, 94, 310)(36, 252, 98, 314, 46, 262, 90, 306)(38, 254, 101, 317, 130, 346, 74, 290)(40, 256, 104, 320, 181, 397, 105, 321)(41, 257, 91, 307, 167, 383, 107, 323)(43, 259, 110, 326, 158, 374, 108, 324)(45, 261, 84, 300, 59, 275, 113, 329)(48, 264, 93, 309, 169, 385, 115, 331)(50, 266, 117, 333, 135, 351, 65, 281)(51, 267, 112, 328, 131, 347, 62, 278)(54, 270, 89, 305, 163, 379, 120, 336)(55, 271, 83, 299, 159, 375, 122, 338)(64, 280, 132, 348, 193, 409, 128, 344)(68, 284, 139, 355, 121, 337, 137, 353)(70, 286, 141, 357, 85, 301, 143, 359)(76, 292, 149, 365, 209, 425, 150, 366)(77, 293, 140, 356, 199, 415, 152, 368)(79, 295, 155, 371, 198, 414, 153, 369)(81, 297, 142, 358, 201, 417, 157, 373)(95, 311, 172, 388, 191, 407, 144, 360)(96, 312, 174, 390, 124, 340, 147, 363)(99, 315, 178, 394, 203, 419, 160, 376)(100, 316, 177, 393, 109, 325, 179, 395)(102, 318, 180, 396, 202, 418, 166, 382)(103, 319, 162, 378, 116, 332, 164, 380)(106, 322, 176, 392, 196, 412, 183, 399)(111, 327, 185, 401, 119, 335, 173, 389)(123, 339, 186, 402, 192, 408, 171, 387)(125, 341, 187, 403, 195, 411, 133, 349)(127, 343, 188, 404, 136, 352, 190, 406)(134, 350, 189, 405, 170, 386, 197, 413)(145, 361, 204, 420, 161, 377, 194, 410)(148, 364, 207, 423, 154, 370, 208, 424)(151, 367, 206, 422, 165, 381, 211, 427)(168, 384, 210, 426, 182, 398, 200, 416)(175, 391, 205, 421, 215, 431, 214, 430)(184, 400, 212, 428, 216, 432, 213, 429)(433, 649, 435, 651)(434, 650, 440, 656)(436, 652, 446, 662)(437, 653, 450, 666)(438, 654, 444, 660)(439, 655, 454, 670)(441, 657, 460, 676)(442, 658, 458, 674)(443, 659, 466, 682)(445, 661, 472, 688)(447, 663, 477, 693)(448, 664, 475, 691)(449, 665, 482, 698)(451, 667, 486, 702)(452, 668, 489, 705)(453, 669, 470, 686)(455, 671, 496, 712)(456, 672, 494, 710)(457, 673, 502, 718)(459, 675, 508, 724)(461, 677, 511, 727)(462, 678, 515, 731)(463, 679, 517, 733)(464, 680, 506, 722)(465, 681, 521, 737)(467, 683, 527, 743)(468, 684, 525, 741)(469, 685, 532, 748)(471, 687, 534, 750)(473, 689, 495, 711)(474, 690, 501, 717)(476, 692, 543, 759)(478, 694, 533, 749)(479, 695, 498, 714)(480, 696, 507, 723)(481, 697, 531, 747)(483, 699, 538, 754)(484, 700, 551, 767)(485, 701, 509, 725)(487, 703, 535, 751)(488, 704, 512, 728)(490, 706, 555, 771)(491, 707, 542, 758)(492, 708, 541, 757)(493, 709, 559, 775)(497, 713, 565, 781)(499, 715, 568, 784)(500, 716, 562, 778)(503, 719, 576, 792)(504, 720, 574, 790)(505, 721, 580, 796)(510, 726, 558, 774)(513, 729, 563, 779)(514, 730, 579, 795)(516, 732, 583, 799)(518, 734, 592, 808)(519, 735, 587, 803)(520, 736, 586, 802)(522, 738, 597, 813)(523, 739, 596, 812)(524, 740, 577, 793)(526, 742, 602, 818)(528, 744, 605, 821)(529, 745, 608, 824)(530, 746, 593, 809)(536, 752, 585, 801)(537, 753, 603, 819)(539, 755, 606, 822)(540, 756, 572, 788)(544, 760, 594, 810)(545, 761, 566, 782)(546, 762, 600, 816)(547, 763, 616, 832)(548, 764, 607, 823)(549, 765, 614, 830)(550, 766, 564, 780)(552, 768, 604, 820)(553, 769, 612, 828)(554, 770, 618, 834)(556, 772, 569, 785)(557, 773, 570, 786)(560, 776, 623, 839)(561, 777, 621, 837)(567, 783, 626, 842)(571, 787, 628, 844)(573, 789, 624, 840)(575, 791, 634, 850)(578, 794, 638, 854)(581, 797, 627, 843)(582, 798, 635, 851)(584, 800, 636, 852)(588, 804, 632, 848)(589, 805, 644, 860)(590, 806, 637, 853)(591, 807, 642, 858)(595, 811, 639, 855)(598, 814, 645, 861)(599, 815, 640, 856)(601, 817, 622, 838)(609, 825, 625, 841)(610, 826, 620, 836)(611, 827, 641, 857)(613, 829, 643, 859)(615, 831, 631, 847)(617, 833, 633, 849)(619, 835, 646, 862)(629, 845, 648, 864)(630, 846, 647, 863)
	L = (1, 436)(2, 441)(3, 444)(4, 448)(5, 451)(6, 433)(7, 455)(8, 458)(9, 461)(10, 434)(11, 467)(12, 470)(13, 473)(14, 435)(15, 437)(16, 480)(17, 483)(18, 477)(19, 487)(20, 490)(21, 438)(22, 494)(23, 497)(24, 439)(25, 503)(26, 506)(27, 509)(28, 440)(29, 513)(30, 516)(31, 518)(32, 442)(33, 522)(34, 525)(35, 528)(36, 443)(37, 445)(38, 507)(39, 535)(40, 532)(41, 538)(42, 540)(43, 446)(44, 530)(45, 533)(46, 447)(47, 449)(48, 453)(49, 548)(50, 498)(51, 495)(52, 552)(53, 508)(54, 450)(55, 534)(56, 505)(57, 542)(58, 556)(59, 452)(60, 547)(61, 560)(62, 562)(63, 472)(64, 454)(65, 566)(66, 469)(67, 569)(68, 456)(69, 492)(70, 574)(71, 577)(72, 457)(73, 459)(74, 563)(75, 475)(76, 580)(77, 583)(78, 585)(79, 460)(80, 462)(81, 464)(82, 590)(83, 488)(84, 485)(85, 587)(86, 593)(87, 463)(88, 589)(89, 596)(90, 598)(91, 465)(92, 576)(93, 481)(94, 603)(95, 466)(96, 607)(97, 609)(98, 592)(99, 468)(100, 479)(101, 471)(102, 478)(103, 486)(104, 558)(105, 602)(106, 482)(107, 601)(108, 588)(109, 474)(110, 570)(111, 594)(112, 476)(113, 565)(114, 611)(115, 599)(116, 605)(117, 615)(118, 571)(119, 612)(120, 610)(121, 484)(122, 619)(123, 489)(124, 568)(125, 491)(126, 520)(127, 621)(128, 624)(129, 493)(130, 545)(131, 511)(132, 627)(133, 496)(134, 500)(135, 630)(136, 557)(137, 555)(138, 499)(139, 629)(140, 501)(141, 623)(142, 514)(143, 635)(144, 502)(145, 637)(146, 639)(147, 504)(148, 512)(149, 550)(150, 634)(151, 515)(152, 633)(153, 549)(154, 510)(155, 544)(156, 640)(157, 631)(158, 524)(159, 643)(160, 517)(161, 543)(162, 519)(163, 638)(164, 546)(165, 521)(166, 641)(167, 632)(168, 523)(169, 526)(170, 622)(171, 625)(172, 551)(173, 527)(174, 529)(175, 531)(176, 539)(177, 537)(178, 646)(179, 645)(180, 554)(181, 642)(182, 536)(183, 644)(184, 541)(185, 636)(186, 553)(187, 620)(188, 604)(189, 567)(190, 606)(191, 559)(192, 647)(193, 608)(194, 561)(195, 591)(196, 564)(197, 613)(198, 573)(199, 614)(200, 572)(201, 575)(202, 617)(203, 595)(204, 578)(205, 579)(206, 584)(207, 582)(208, 616)(209, 600)(210, 581)(211, 648)(212, 586)(213, 597)(214, 618)(215, 626)(216, 628)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E28.2962
Graph:: simple bipartite
	v = 162 e = 432 f = 216
	degree seq :: [ 4^108, 8^54 ]

E28.2967 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = (C9 x A4) : C2 (small group id <216, 93>)
Aut   = $<432, 521>$ (small group id <432, 521>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y2)^3, Y1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2, (Y1 * Y2 * Y3)^4, (Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2)^2, (Y3 * Y1)^9, (Y2 * Y1 * Y3 * Y1 * Y3 * Y1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 218, 2, 217)(3, 223, 7, 219)(4, 225, 9, 220)(5, 227, 11, 221)(6, 229, 13, 222)(8, 233, 17, 224)(10, 237, 21, 226)(12, 240, 24, 228)(14, 244, 28, 230)(15, 245, 29, 231)(16, 247, 31, 232)(18, 251, 35, 234)(19, 252, 36, 235)(20, 254, 38, 236)(22, 258, 42, 238)(23, 260, 44, 239)(25, 264, 48, 241)(26, 265, 49, 242)(27, 267, 51, 243)(30, 263, 47, 246)(32, 276, 60, 248)(33, 277, 61, 249)(34, 259, 43, 250)(37, 284, 68, 253)(39, 269, 53, 255)(40, 268, 52, 256)(41, 288, 72, 257)(45, 295, 79, 261)(46, 296, 80, 262)(50, 303, 87, 266)(54, 307, 91, 270)(55, 309, 93, 271)(56, 310, 94, 272)(57, 312, 96, 273)(58, 313, 97, 274)(59, 315, 99, 275)(62, 308, 92, 278)(63, 317, 101, 279)(64, 316, 100, 280)(65, 323, 107, 281)(66, 325, 109, 282)(67, 326, 110, 283)(69, 329, 113, 285)(70, 330, 114, 286)(71, 328, 112, 287)(73, 297, 81, 289)(74, 333, 117, 290)(75, 334, 118, 291)(76, 336, 120, 292)(77, 337, 121, 293)(78, 339, 123, 294)(82, 341, 125, 298)(83, 340, 124, 299)(84, 347, 131, 300)(85, 349, 133, 301)(86, 350, 134, 302)(88, 353, 137, 304)(89, 354, 138, 305)(90, 352, 136, 306)(95, 343, 127, 311)(98, 356, 140, 314)(102, 342, 126, 318)(103, 335, 119, 319)(104, 351, 135, 320)(105, 348, 132, 321)(106, 355, 139, 322)(108, 345, 129, 324)(111, 344, 128, 327)(115, 346, 130, 331)(116, 338, 122, 332)(141, 393, 177, 357)(142, 394, 178, 358)(143, 395, 179, 359)(144, 397, 181, 360)(145, 398, 182, 361)(146, 400, 184, 362)(147, 401, 185, 363)(148, 402, 186, 364)(149, 403, 187, 365)(150, 404, 188, 366)(151, 386, 170, 367)(152, 385, 169, 368)(153, 399, 183, 369)(154, 396, 180, 370)(155, 405, 189, 371)(156, 406, 190, 372)(157, 407, 191, 373)(158, 408, 192, 374)(159, 409, 193, 375)(160, 410, 194, 376)(161, 411, 195, 377)(162, 413, 197, 378)(163, 414, 198, 379)(164, 416, 200, 380)(165, 417, 201, 381)(166, 418, 202, 382)(167, 419, 203, 383)(168, 420, 204, 384)(171, 415, 199, 387)(172, 412, 196, 388)(173, 421, 205, 389)(174, 422, 206, 390)(175, 423, 207, 391)(176, 424, 208, 392)(209, 432, 216, 425)(210, 431, 215, 426)(211, 430, 214, 427)(212, 429, 213, 428)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 18)(9, 19)(11, 22)(12, 25)(13, 26)(16, 32)(17, 33)(20, 39)(21, 40)(23, 45)(24, 46)(27, 52)(28, 53)(29, 55)(30, 57)(31, 58)(34, 63)(35, 64)(36, 66)(37, 69)(38, 70)(41, 73)(42, 74)(43, 76)(44, 77)(47, 82)(48, 83)(49, 85)(50, 88)(51, 89)(54, 92)(56, 95)(59, 100)(60, 101)(61, 103)(62, 105)(65, 108)(67, 111)(68, 102)(71, 115)(72, 116)(75, 119)(78, 124)(79, 125)(80, 127)(81, 129)(84, 132)(86, 135)(87, 126)(90, 139)(91, 140)(93, 141)(94, 143)(96, 145)(97, 147)(98, 149)(99, 150)(104, 152)(106, 153)(107, 154)(109, 142)(110, 148)(112, 151)(113, 146)(114, 157)(117, 159)(118, 161)(120, 163)(121, 165)(122, 167)(123, 168)(128, 170)(130, 171)(131, 172)(133, 160)(134, 166)(136, 169)(137, 164)(138, 175)(144, 182)(155, 184)(156, 183)(158, 187)(162, 198)(173, 200)(174, 199)(176, 203)(177, 193)(178, 207)(179, 204)(180, 210)(181, 201)(185, 197)(186, 209)(188, 195)(189, 205)(190, 212)(191, 194)(192, 211)(196, 214)(202, 213)(206, 216)(208, 215)(217, 220)(218, 222)(219, 224)(221, 228)(223, 232)(225, 236)(226, 234)(227, 239)(229, 243)(230, 241)(231, 246)(233, 250)(235, 253)(237, 257)(238, 259)(240, 263)(242, 266)(244, 270)(245, 272)(247, 275)(248, 273)(249, 278)(251, 281)(252, 283)(254, 271)(255, 285)(256, 287)(258, 291)(260, 294)(261, 292)(262, 297)(264, 300)(265, 302)(267, 290)(268, 304)(269, 306)(274, 314)(276, 318)(277, 320)(279, 321)(280, 322)(282, 323)(284, 328)(286, 311)(288, 319)(289, 331)(293, 338)(295, 342)(296, 344)(298, 345)(299, 346)(301, 347)(303, 352)(305, 335)(307, 343)(308, 355)(309, 358)(310, 360)(312, 362)(313, 364)(315, 357)(316, 365)(317, 367)(324, 369)(325, 366)(326, 371)(327, 370)(329, 372)(330, 374)(332, 368)(333, 376)(334, 378)(336, 380)(337, 382)(339, 375)(340, 383)(341, 385)(348, 387)(349, 384)(350, 389)(351, 388)(353, 390)(354, 392)(356, 386)(359, 396)(361, 399)(363, 400)(373, 406)(377, 412)(379, 415)(381, 416)(391, 422)(393, 413)(394, 410)(395, 425)(397, 409)(398, 426)(401, 417)(402, 427)(403, 428)(404, 424)(405, 423)(407, 421)(408, 420)(411, 429)(414, 430)(418, 431)(419, 432)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E28.2968
Transitivity :: VT+ AT
Graph:: simple
	v = 108 e = 216 f = 54
	degree seq :: [ 4^108 ]

E28.2968 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = (C9 x A4) : C2 (small group id <216, 93>)
Aut   = $<432, 521>$ (small group id <432, 521>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^4, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y2)^3, (Y1^-1 * Y2 * Y3)^2, Y3 * Y1^-2 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1, (Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1)^2, (Y1^-1 * Y3 * Y1 * Y3 * Y1^-1)^2, (Y3 * Y2 * Y3 * Y1^-2)^2, Y1^-1 * Y2 * Y1^-1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y2 * Y1^-1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 218, 2, 222, 6, 221, 5, 217)(3, 225, 9, 241, 25, 227, 11, 219)(4, 228, 12, 248, 32, 230, 14, 220)(7, 235, 19, 265, 49, 237, 21, 223)(8, 238, 22, 272, 56, 240, 24, 224)(10, 244, 28, 275, 59, 239, 23, 226)(13, 251, 35, 295, 79, 252, 36, 229)(15, 254, 38, 299, 83, 255, 39, 231)(16, 256, 40, 284, 68, 258, 42, 232)(17, 259, 43, 305, 89, 261, 45, 233)(18, 262, 46, 311, 95, 264, 48, 234)(20, 268, 52, 313, 97, 263, 47, 236)(26, 279, 63, 310, 94, 281, 65, 242)(27, 282, 66, 307, 91, 283, 67, 243)(29, 286, 70, 309, 93, 287, 71, 245)(30, 288, 72, 306, 90, 289, 73, 246)(31, 290, 74, 249, 33, 291, 75, 247)(34, 293, 77, 314, 98, 294, 78, 250)(37, 297, 81, 312, 96, 298, 82, 253)(41, 260, 44, 308, 92, 278, 62, 257)(50, 316, 100, 302, 86, 318, 102, 266)(51, 319, 103, 301, 85, 320, 104, 267)(53, 322, 106, 296, 80, 323, 107, 269)(54, 324, 108, 300, 84, 325, 109, 270)(55, 326, 110, 273, 57, 327, 111, 271)(58, 329, 113, 304, 88, 330, 114, 274)(60, 331, 115, 303, 87, 332, 116, 276)(61, 328, 112, 292, 76, 315, 99, 277)(64, 321, 105, 347, 131, 333, 117, 280)(69, 317, 101, 348, 132, 341, 125, 285)(118, 361, 145, 344, 128, 362, 146, 334)(119, 363, 147, 343, 127, 364, 148, 335)(120, 365, 149, 342, 126, 366, 150, 336)(121, 367, 151, 338, 122, 368, 152, 337)(123, 369, 153, 346, 130, 370, 154, 339)(124, 371, 155, 345, 129, 372, 156, 340)(133, 373, 157, 358, 142, 374, 158, 349)(134, 375, 159, 357, 141, 376, 160, 350)(135, 377, 161, 356, 140, 378, 162, 351)(136, 379, 163, 353, 137, 380, 164, 352)(138, 381, 165, 360, 144, 382, 166, 354)(139, 383, 167, 359, 143, 384, 168, 355)(169, 409, 193, 394, 178, 410, 194, 385)(170, 411, 195, 393, 177, 412, 196, 386)(171, 413, 197, 392, 176, 414, 198, 387)(172, 415, 199, 389, 173, 416, 200, 388)(174, 417, 201, 396, 180, 418, 202, 390)(175, 419, 203, 395, 179, 420, 204, 391)(181, 421, 205, 406, 190, 422, 206, 397)(182, 423, 207, 405, 189, 424, 208, 398)(183, 425, 209, 404, 188, 426, 210, 399)(184, 427, 211, 401, 185, 428, 212, 400)(186, 429, 213, 408, 192, 430, 214, 402)(187, 431, 215, 407, 191, 432, 216, 403)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 17)(8, 23)(9, 26)(10, 29)(11, 30)(12, 33)(14, 27)(16, 41)(18, 47)(19, 50)(20, 53)(21, 54)(22, 57)(24, 51)(25, 61)(28, 68)(31, 46)(32, 52)(34, 71)(35, 80)(36, 69)(37, 64)(38, 84)(39, 86)(40, 55)(42, 85)(43, 90)(44, 93)(45, 94)(48, 91)(49, 99)(56, 92)(58, 107)(59, 105)(60, 101)(62, 117)(63, 118)(65, 120)(66, 122)(67, 119)(70, 96)(72, 126)(73, 128)(74, 121)(75, 127)(76, 89)(77, 124)(78, 130)(79, 95)(81, 129)(82, 123)(83, 112)(87, 106)(88, 125)(97, 132)(98, 131)(100, 133)(102, 135)(103, 137)(104, 134)(108, 140)(109, 142)(110, 136)(111, 141)(113, 139)(114, 144)(115, 143)(116, 138)(145, 169)(146, 171)(147, 173)(148, 170)(149, 176)(150, 178)(151, 172)(152, 177)(153, 175)(154, 180)(155, 179)(156, 174)(157, 181)(158, 183)(159, 185)(160, 182)(161, 188)(162, 190)(163, 184)(164, 189)(165, 187)(166, 192)(167, 191)(168, 186)(193, 210)(194, 205)(195, 214)(196, 216)(197, 206)(198, 209)(199, 213)(200, 215)(201, 207)(202, 211)(203, 208)(204, 212)(217, 220)(218, 224)(219, 226)(221, 232)(222, 234)(223, 236)(225, 243)(227, 247)(228, 250)(229, 245)(230, 253)(231, 251)(233, 260)(235, 267)(237, 271)(238, 274)(239, 269)(240, 276)(241, 278)(242, 280)(244, 285)(246, 286)(248, 292)(249, 261)(252, 265)(254, 301)(255, 273)(256, 303)(257, 296)(258, 304)(259, 307)(262, 312)(263, 309)(264, 314)(266, 317)(268, 321)(270, 322)(272, 328)(275, 305)(277, 311)(279, 335)(281, 337)(282, 339)(283, 340)(284, 315)(287, 310)(288, 343)(289, 338)(290, 345)(291, 346)(293, 334)(294, 342)(295, 333)(297, 336)(298, 344)(299, 313)(300, 341)(302, 323)(306, 347)(308, 348)(316, 350)(318, 352)(319, 354)(320, 355)(324, 357)(325, 353)(326, 359)(327, 360)(329, 349)(330, 356)(331, 351)(332, 358)(361, 386)(362, 388)(363, 390)(364, 391)(365, 393)(366, 389)(367, 395)(368, 396)(369, 385)(370, 392)(371, 387)(372, 394)(373, 398)(374, 400)(375, 402)(376, 403)(377, 405)(378, 401)(379, 407)(380, 408)(381, 397)(382, 404)(383, 399)(384, 406)(409, 432)(410, 429)(411, 428)(412, 423)(413, 431)(414, 430)(415, 424)(416, 427)(417, 426)(418, 422)(419, 421)(420, 425)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E28.2967
Transitivity :: VT+ AT
Graph:: simple
	v = 54 e = 216 f = 108
	degree seq :: [ 8^54 ]

E28.2969 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = (C9 x A4) : C2 (small group id <216, 93>)
Aut   = $<432, 521>$ (small group id <432, 521>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1)^3, Y3 * Y1 * Y3 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1, (Y3 * Y1 * Y2)^4, (Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1)^2, (Y3 * Y2)^9 ]
Map:: polytopal
	R = (1, 217, 4, 220)(2, 218, 6, 222)(3, 219, 8, 224)(5, 221, 12, 228)(7, 223, 15, 231)(9, 225, 19, 235)(10, 226, 21, 237)(11, 227, 22, 238)(13, 229, 26, 242)(14, 230, 28, 244)(16, 232, 32, 248)(17, 233, 34, 250)(18, 234, 36, 252)(20, 236, 39, 255)(23, 239, 45, 261)(24, 240, 47, 263)(25, 241, 49, 265)(27, 243, 52, 268)(29, 245, 56, 272)(30, 246, 58, 274)(31, 247, 60, 276)(33, 249, 63, 279)(35, 251, 65, 281)(37, 253, 67, 283)(38, 254, 69, 285)(40, 256, 72, 288)(41, 257, 73, 289)(42, 258, 75, 291)(43, 259, 77, 293)(44, 260, 79, 295)(46, 262, 82, 298)(48, 264, 84, 300)(50, 266, 86, 302)(51, 267, 88, 304)(53, 269, 91, 307)(54, 270, 92, 308)(55, 271, 94, 310)(57, 273, 96, 312)(59, 275, 98, 314)(61, 277, 99, 315)(62, 278, 101, 317)(64, 280, 103, 319)(66, 282, 106, 322)(68, 284, 109, 325)(70, 286, 112, 328)(71, 287, 113, 329)(74, 290, 118, 334)(76, 292, 120, 336)(78, 294, 122, 338)(80, 296, 123, 339)(81, 297, 125, 341)(83, 299, 127, 343)(85, 301, 130, 346)(87, 303, 133, 349)(89, 305, 136, 352)(90, 306, 137, 353)(93, 309, 141, 357)(95, 311, 142, 358)(97, 313, 143, 359)(100, 316, 145, 361)(102, 318, 147, 363)(104, 320, 150, 366)(105, 321, 151, 367)(107, 323, 152, 368)(108, 324, 153, 369)(110, 326, 154, 370)(111, 327, 155, 371)(114, 330, 156, 372)(115, 331, 157, 373)(116, 332, 158, 374)(117, 333, 159, 375)(119, 335, 160, 376)(121, 337, 161, 377)(124, 340, 163, 379)(126, 342, 165, 381)(128, 344, 168, 384)(129, 345, 169, 385)(131, 347, 170, 386)(132, 348, 171, 387)(134, 350, 172, 388)(135, 351, 173, 389)(138, 354, 174, 390)(139, 355, 175, 391)(140, 356, 176, 392)(144, 360, 179, 395)(146, 362, 180, 396)(148, 364, 181, 397)(149, 365, 182, 398)(162, 378, 195, 411)(164, 380, 196, 412)(166, 382, 197, 413)(167, 383, 198, 414)(177, 393, 209, 425)(178, 394, 210, 426)(183, 399, 199, 415)(184, 400, 202, 418)(185, 401, 207, 423)(186, 402, 200, 416)(187, 403, 205, 421)(188, 404, 212, 428)(189, 405, 203, 419)(190, 406, 211, 427)(191, 407, 201, 417)(192, 408, 208, 424)(193, 409, 213, 429)(194, 410, 214, 430)(204, 420, 216, 432)(206, 422, 215, 431)(433, 434)(435, 439)(436, 441)(437, 443)(438, 445)(440, 448)(442, 452)(444, 455)(446, 459)(447, 461)(449, 465)(450, 467)(451, 469)(453, 472)(454, 474)(456, 478)(457, 480)(458, 482)(460, 485)(462, 489)(463, 491)(464, 493)(466, 496)(468, 498)(470, 500)(471, 495)(473, 488)(475, 508)(476, 510)(477, 512)(479, 515)(481, 517)(483, 519)(484, 514)(486, 507)(487, 525)(490, 529)(492, 521)(494, 532)(497, 536)(499, 539)(501, 542)(502, 511)(503, 527)(504, 546)(505, 548)(506, 549)(509, 553)(513, 556)(516, 560)(518, 563)(520, 566)(522, 551)(523, 570)(524, 572)(526, 558)(528, 552)(530, 561)(531, 564)(533, 571)(534, 550)(535, 580)(537, 554)(538, 565)(540, 555)(541, 562)(543, 582)(544, 569)(545, 568)(547, 557)(559, 598)(567, 600)(573, 594)(574, 599)(575, 610)(576, 591)(577, 597)(578, 601)(579, 595)(581, 592)(583, 596)(584, 615)(585, 617)(586, 619)(587, 621)(588, 616)(589, 620)(590, 623)(593, 626)(602, 631)(603, 633)(604, 635)(605, 637)(606, 632)(607, 636)(608, 639)(609, 627)(611, 625)(612, 643)(613, 634)(614, 638)(618, 629)(622, 630)(624, 642)(628, 647)(640, 646)(641, 648)(644, 645)(649, 651)(650, 653)(652, 658)(654, 662)(655, 659)(656, 665)(657, 666)(660, 672)(661, 673)(663, 678)(664, 679)(667, 686)(668, 683)(669, 689)(670, 691)(671, 692)(674, 699)(675, 696)(676, 702)(677, 703)(680, 710)(681, 707)(682, 698)(684, 697)(685, 695)(687, 718)(688, 719)(690, 722)(693, 729)(694, 726)(700, 737)(701, 738)(704, 743)(705, 741)(706, 728)(708, 742)(709, 725)(711, 750)(712, 735)(713, 753)(714, 744)(715, 756)(716, 731)(717, 759)(720, 763)(721, 755)(723, 767)(724, 765)(727, 766)(730, 774)(732, 777)(733, 768)(734, 780)(736, 783)(739, 787)(740, 779)(745, 772)(746, 792)(747, 788)(748, 769)(749, 794)(751, 797)(752, 789)(754, 793)(757, 784)(758, 791)(760, 781)(761, 795)(762, 799)(764, 771)(770, 810)(773, 812)(775, 815)(776, 807)(778, 811)(782, 809)(785, 813)(786, 817)(790, 825)(796, 827)(798, 826)(800, 832)(801, 834)(802, 836)(803, 831)(804, 837)(805, 838)(806, 840)(808, 841)(814, 843)(816, 842)(818, 848)(819, 850)(820, 852)(821, 847)(822, 853)(823, 854)(824, 856)(828, 849)(829, 859)(830, 851)(833, 844)(835, 846)(839, 857)(845, 863)(855, 861)(858, 864)(860, 862)
	L = (1, 433)(2, 434)(3, 435)(4, 436)(5, 437)(6, 438)(7, 439)(8, 440)(9, 441)(10, 442)(11, 443)(12, 444)(13, 445)(14, 446)(15, 447)(16, 448)(17, 449)(18, 450)(19, 451)(20, 452)(21, 453)(22, 454)(23, 455)(24, 456)(25, 457)(26, 458)(27, 459)(28, 460)(29, 461)(30, 462)(31, 463)(32, 464)(33, 465)(34, 466)(35, 467)(36, 468)(37, 469)(38, 470)(39, 471)(40, 472)(41, 473)(42, 474)(43, 475)(44, 476)(45, 477)(46, 478)(47, 479)(48, 480)(49, 481)(50, 482)(51, 483)(52, 484)(53, 485)(54, 486)(55, 487)(56, 488)(57, 489)(58, 490)(59, 491)(60, 492)(61, 493)(62, 494)(63, 495)(64, 496)(65, 497)(66, 498)(67, 499)(68, 500)(69, 501)(70, 502)(71, 503)(72, 504)(73, 505)(74, 506)(75, 507)(76, 508)(77, 509)(78, 510)(79, 511)(80, 512)(81, 513)(82, 514)(83, 515)(84, 516)(85, 517)(86, 518)(87, 519)(88, 520)(89, 521)(90, 522)(91, 523)(92, 524)(93, 525)(94, 526)(95, 527)(96, 528)(97, 529)(98, 530)(99, 531)(100, 532)(101, 533)(102, 534)(103, 535)(104, 536)(105, 537)(106, 538)(107, 539)(108, 540)(109, 541)(110, 542)(111, 543)(112, 544)(113, 545)(114, 546)(115, 547)(116, 548)(117, 549)(118, 550)(119, 551)(120, 552)(121, 553)(122, 554)(123, 555)(124, 556)(125, 557)(126, 558)(127, 559)(128, 560)(129, 561)(130, 562)(131, 563)(132, 564)(133, 565)(134, 566)(135, 567)(136, 568)(137, 569)(138, 570)(139, 571)(140, 572)(141, 573)(142, 574)(143, 575)(144, 576)(145, 577)(146, 578)(147, 579)(148, 580)(149, 581)(150, 582)(151, 583)(152, 584)(153, 585)(154, 586)(155, 587)(156, 588)(157, 589)(158, 590)(159, 591)(160, 592)(161, 593)(162, 594)(163, 595)(164, 596)(165, 597)(166, 598)(167, 599)(168, 600)(169, 601)(170, 602)(171, 603)(172, 604)(173, 605)(174, 606)(175, 607)(176, 608)(177, 609)(178, 610)(179, 611)(180, 612)(181, 613)(182, 614)(183, 615)(184, 616)(185, 617)(186, 618)(187, 619)(188, 620)(189, 621)(190, 622)(191, 623)(192, 624)(193, 625)(194, 626)(195, 627)(196, 628)(197, 629)(198, 630)(199, 631)(200, 632)(201, 633)(202, 634)(203, 635)(204, 636)(205, 637)(206, 638)(207, 639)(208, 640)(209, 641)(210, 642)(211, 643)(212, 644)(213, 645)(214, 646)(215, 647)(216, 648)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E28.2972
Graph:: simple bipartite
	v = 324 e = 432 f = 54
	degree seq :: [ 2^216, 4^108 ]

E28.2970 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = (C9 x A4) : C2 (small group id <216, 93>)
Aut   = $<432, 521>$ (small group id <432, 521>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1)^3, (Y1 * Y3^-1 * Y2)^2, Y3^-1 * Y1 * Y3^-2 * Y2 * Y3^-1 * Y1 * Y2, Y3^-1 * Y2 * Y3^2 * Y2 * Y1 * Y3^2 * Y1 * Y3^-1, Y3^-1 * Y1 * Y3^-1 * Y2 * Y3^2 * Y2 * Y3 * Y1 * Y3^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1, Y1 * Y3^-1 * Y1 * Y3^-2 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1 * Y1 * Y3^-1 ]
Map:: polytopal
	R = (1, 217, 4, 220, 14, 230, 5, 221)(2, 218, 7, 223, 22, 238, 8, 224)(3, 219, 10, 226, 28, 244, 11, 227)(6, 222, 18, 234, 46, 262, 19, 235)(9, 225, 25, 241, 62, 278, 26, 242)(12, 228, 31, 247, 73, 289, 32, 248)(13, 229, 34, 250, 47, 263, 35, 251)(15, 231, 39, 255, 61, 277, 40, 256)(16, 232, 41, 257, 87, 303, 42, 258)(17, 233, 43, 259, 90, 306, 44, 260)(20, 236, 49, 265, 101, 317, 50, 266)(21, 237, 52, 268, 29, 245, 53, 269)(23, 239, 57, 273, 89, 305, 58, 274)(24, 240, 59, 275, 115, 331, 60, 276)(27, 243, 64, 280, 91, 307, 65, 281)(30, 246, 69, 285, 118, 334, 70, 286)(33, 249, 55, 271, 110, 326, 76, 292)(36, 252, 68, 284, 95, 311, 80, 296)(37, 253, 82, 298, 104, 320, 51, 267)(38, 254, 81, 297, 117, 333, 66, 282)(45, 261, 92, 308, 63, 279, 93, 309)(48, 264, 97, 313, 132, 348, 98, 314)(54, 270, 96, 312, 67, 283, 108, 324)(56, 272, 109, 325, 131, 347, 94, 310)(71, 287, 119, 335, 84, 300, 120, 336)(72, 288, 121, 337, 78, 294, 122, 338)(74, 290, 123, 339, 83, 299, 124, 340)(75, 291, 125, 341, 85, 301, 126, 342)(77, 293, 127, 343, 88, 304, 128, 344)(79, 295, 129, 345, 86, 302, 130, 346)(99, 315, 133, 349, 112, 328, 134, 350)(100, 316, 135, 351, 106, 322, 136, 352)(102, 318, 137, 353, 111, 327, 138, 354)(103, 319, 139, 355, 113, 329, 140, 356)(105, 321, 141, 357, 116, 332, 142, 358)(107, 323, 143, 359, 114, 330, 144, 360)(145, 361, 169, 385, 153, 369, 170, 386)(146, 362, 171, 387, 150, 366, 172, 388)(147, 363, 173, 389, 152, 368, 174, 390)(148, 364, 175, 391, 154, 370, 176, 392)(149, 365, 177, 393, 156, 372, 178, 394)(151, 367, 179, 395, 155, 371, 180, 396)(157, 373, 181, 397, 165, 381, 182, 398)(158, 374, 183, 399, 162, 378, 184, 400)(159, 375, 185, 401, 164, 380, 186, 402)(160, 376, 187, 403, 166, 382, 188, 404)(161, 377, 189, 405, 168, 384, 190, 406)(163, 379, 191, 407, 167, 383, 192, 408)(193, 409, 207, 423, 201, 417, 212, 428)(194, 410, 211, 427, 198, 414, 215, 431)(195, 411, 213, 429, 200, 416, 205, 421)(196, 412, 216, 432, 202, 418, 209, 425)(197, 413, 208, 424, 204, 420, 214, 430)(199, 415, 210, 426, 203, 419, 206, 422)(433, 434)(435, 441)(436, 444)(437, 447)(438, 449)(439, 452)(440, 455)(442, 456)(443, 461)(445, 465)(446, 468)(448, 450)(451, 479)(453, 483)(454, 486)(457, 480)(458, 495)(459, 488)(460, 498)(462, 475)(463, 503)(464, 506)(466, 507)(467, 510)(469, 513)(470, 477)(471, 515)(472, 516)(473, 517)(474, 504)(476, 523)(478, 526)(481, 531)(482, 534)(484, 535)(485, 538)(487, 541)(489, 543)(490, 544)(491, 545)(492, 532)(493, 528)(494, 536)(496, 548)(497, 539)(499, 527)(500, 521)(501, 537)(502, 546)(505, 540)(508, 522)(509, 529)(511, 525)(512, 533)(514, 547)(518, 530)(519, 542)(520, 524)(549, 564)(550, 563)(551, 577)(552, 579)(553, 580)(554, 582)(555, 584)(556, 585)(557, 586)(558, 578)(559, 588)(560, 583)(561, 581)(562, 587)(565, 589)(566, 591)(567, 592)(568, 594)(569, 596)(570, 597)(571, 598)(572, 590)(573, 600)(574, 595)(575, 593)(576, 599)(601, 625)(602, 627)(603, 628)(604, 630)(605, 632)(606, 633)(607, 634)(608, 626)(609, 636)(610, 631)(611, 629)(612, 635)(613, 637)(614, 639)(615, 640)(616, 642)(617, 644)(618, 645)(619, 646)(620, 638)(621, 648)(622, 643)(623, 641)(624, 647)(649, 651)(650, 654)(652, 661)(653, 664)(655, 669)(656, 672)(657, 665)(658, 675)(659, 678)(660, 674)(662, 685)(663, 686)(666, 693)(667, 696)(668, 692)(670, 703)(671, 704)(673, 709)(676, 715)(677, 716)(679, 720)(680, 723)(681, 711)(682, 725)(683, 727)(684, 724)(687, 726)(688, 733)(689, 734)(690, 736)(691, 737)(694, 743)(695, 744)(697, 748)(698, 751)(699, 739)(700, 753)(701, 755)(702, 752)(705, 754)(706, 761)(707, 762)(708, 764)(710, 757)(712, 747)(713, 759)(714, 742)(717, 750)(718, 760)(719, 740)(721, 765)(722, 745)(728, 763)(729, 738)(730, 766)(731, 741)(732, 746)(735, 756)(749, 779)(758, 780)(767, 794)(768, 796)(769, 797)(770, 799)(771, 798)(772, 802)(773, 803)(774, 804)(775, 793)(776, 800)(777, 795)(778, 801)(781, 806)(782, 808)(783, 809)(784, 811)(785, 810)(786, 814)(787, 815)(788, 816)(789, 805)(790, 812)(791, 807)(792, 813)(817, 842)(818, 844)(819, 845)(820, 847)(821, 846)(822, 850)(823, 851)(824, 852)(825, 841)(826, 848)(827, 843)(828, 849)(829, 854)(830, 856)(831, 857)(832, 859)(833, 858)(834, 862)(835, 863)(836, 864)(837, 853)(838, 860)(839, 855)(840, 861)
	L = (1, 433)(2, 434)(3, 435)(4, 436)(5, 437)(6, 438)(7, 439)(8, 440)(9, 441)(10, 442)(11, 443)(12, 444)(13, 445)(14, 446)(15, 447)(16, 448)(17, 449)(18, 450)(19, 451)(20, 452)(21, 453)(22, 454)(23, 455)(24, 456)(25, 457)(26, 458)(27, 459)(28, 460)(29, 461)(30, 462)(31, 463)(32, 464)(33, 465)(34, 466)(35, 467)(36, 468)(37, 469)(38, 470)(39, 471)(40, 472)(41, 473)(42, 474)(43, 475)(44, 476)(45, 477)(46, 478)(47, 479)(48, 480)(49, 481)(50, 482)(51, 483)(52, 484)(53, 485)(54, 486)(55, 487)(56, 488)(57, 489)(58, 490)(59, 491)(60, 492)(61, 493)(62, 494)(63, 495)(64, 496)(65, 497)(66, 498)(67, 499)(68, 500)(69, 501)(70, 502)(71, 503)(72, 504)(73, 505)(74, 506)(75, 507)(76, 508)(77, 509)(78, 510)(79, 511)(80, 512)(81, 513)(82, 514)(83, 515)(84, 516)(85, 517)(86, 518)(87, 519)(88, 520)(89, 521)(90, 522)(91, 523)(92, 524)(93, 525)(94, 526)(95, 527)(96, 528)(97, 529)(98, 530)(99, 531)(100, 532)(101, 533)(102, 534)(103, 535)(104, 536)(105, 537)(106, 538)(107, 539)(108, 540)(109, 541)(110, 542)(111, 543)(112, 544)(113, 545)(114, 546)(115, 547)(116, 548)(117, 549)(118, 550)(119, 551)(120, 552)(121, 553)(122, 554)(123, 555)(124, 556)(125, 557)(126, 558)(127, 559)(128, 560)(129, 561)(130, 562)(131, 563)(132, 564)(133, 565)(134, 566)(135, 567)(136, 568)(137, 569)(138, 570)(139, 571)(140, 572)(141, 573)(142, 574)(143, 575)(144, 576)(145, 577)(146, 578)(147, 579)(148, 580)(149, 581)(150, 582)(151, 583)(152, 584)(153, 585)(154, 586)(155, 587)(156, 588)(157, 589)(158, 590)(159, 591)(160, 592)(161, 593)(162, 594)(163, 595)(164, 596)(165, 597)(166, 598)(167, 599)(168, 600)(169, 601)(170, 602)(171, 603)(172, 604)(173, 605)(174, 606)(175, 607)(176, 608)(177, 609)(178, 610)(179, 611)(180, 612)(181, 613)(182, 614)(183, 615)(184, 616)(185, 617)(186, 618)(187, 619)(188, 620)(189, 621)(190, 622)(191, 623)(192, 624)(193, 625)(194, 626)(195, 627)(196, 628)(197, 629)(198, 630)(199, 631)(200, 632)(201, 633)(202, 634)(203, 635)(204, 636)(205, 637)(206, 638)(207, 639)(208, 640)(209, 641)(210, 642)(211, 643)(212, 644)(213, 645)(214, 646)(215, 647)(216, 648)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E28.2971
Graph:: simple bipartite
	v = 270 e = 432 f = 108
	degree seq :: [ 2^216, 8^54 ]

E28.2971 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = (C9 x A4) : C2 (small group id <216, 93>)
Aut   = $<432, 521>$ (small group id <432, 521>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1)^3, Y3 * Y1 * Y3 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1, (Y3 * Y1 * Y2)^4, (Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1)^2, (Y3 * Y2)^9 ]
Map::
	R = (1, 217, 433, 649, 4, 220, 436, 652)(2, 218, 434, 650, 6, 222, 438, 654)(3, 219, 435, 651, 8, 224, 440, 656)(5, 221, 437, 653, 12, 228, 444, 660)(7, 223, 439, 655, 15, 231, 447, 663)(9, 225, 441, 657, 19, 235, 451, 667)(10, 226, 442, 658, 21, 237, 453, 669)(11, 227, 443, 659, 22, 238, 454, 670)(13, 229, 445, 661, 26, 242, 458, 674)(14, 230, 446, 662, 28, 244, 460, 676)(16, 232, 448, 664, 32, 248, 464, 680)(17, 233, 449, 665, 34, 250, 466, 682)(18, 234, 450, 666, 36, 252, 468, 684)(20, 236, 452, 668, 39, 255, 471, 687)(23, 239, 455, 671, 45, 261, 477, 693)(24, 240, 456, 672, 47, 263, 479, 695)(25, 241, 457, 673, 49, 265, 481, 697)(27, 243, 459, 675, 52, 268, 484, 700)(29, 245, 461, 677, 56, 272, 488, 704)(30, 246, 462, 678, 58, 274, 490, 706)(31, 247, 463, 679, 60, 276, 492, 708)(33, 249, 465, 681, 63, 279, 495, 711)(35, 251, 467, 683, 65, 281, 497, 713)(37, 253, 469, 685, 67, 283, 499, 715)(38, 254, 470, 686, 69, 285, 501, 717)(40, 256, 472, 688, 72, 288, 504, 720)(41, 257, 473, 689, 73, 289, 505, 721)(42, 258, 474, 690, 75, 291, 507, 723)(43, 259, 475, 691, 77, 293, 509, 725)(44, 260, 476, 692, 79, 295, 511, 727)(46, 262, 478, 694, 82, 298, 514, 730)(48, 264, 480, 696, 84, 300, 516, 732)(50, 266, 482, 698, 86, 302, 518, 734)(51, 267, 483, 699, 88, 304, 520, 736)(53, 269, 485, 701, 91, 307, 523, 739)(54, 270, 486, 702, 92, 308, 524, 740)(55, 271, 487, 703, 94, 310, 526, 742)(57, 273, 489, 705, 96, 312, 528, 744)(59, 275, 491, 707, 98, 314, 530, 746)(61, 277, 493, 709, 99, 315, 531, 747)(62, 278, 494, 710, 101, 317, 533, 749)(64, 280, 496, 712, 103, 319, 535, 751)(66, 282, 498, 714, 106, 322, 538, 754)(68, 284, 500, 716, 109, 325, 541, 757)(70, 286, 502, 718, 112, 328, 544, 760)(71, 287, 503, 719, 113, 329, 545, 761)(74, 290, 506, 722, 118, 334, 550, 766)(76, 292, 508, 724, 120, 336, 552, 768)(78, 294, 510, 726, 122, 338, 554, 770)(80, 296, 512, 728, 123, 339, 555, 771)(81, 297, 513, 729, 125, 341, 557, 773)(83, 299, 515, 731, 127, 343, 559, 775)(85, 301, 517, 733, 130, 346, 562, 778)(87, 303, 519, 735, 133, 349, 565, 781)(89, 305, 521, 737, 136, 352, 568, 784)(90, 306, 522, 738, 137, 353, 569, 785)(93, 309, 525, 741, 141, 357, 573, 789)(95, 311, 527, 743, 142, 358, 574, 790)(97, 313, 529, 745, 143, 359, 575, 791)(100, 316, 532, 748, 145, 361, 577, 793)(102, 318, 534, 750, 147, 363, 579, 795)(104, 320, 536, 752, 150, 366, 582, 798)(105, 321, 537, 753, 151, 367, 583, 799)(107, 323, 539, 755, 152, 368, 584, 800)(108, 324, 540, 756, 153, 369, 585, 801)(110, 326, 542, 758, 154, 370, 586, 802)(111, 327, 543, 759, 155, 371, 587, 803)(114, 330, 546, 762, 156, 372, 588, 804)(115, 331, 547, 763, 157, 373, 589, 805)(116, 332, 548, 764, 158, 374, 590, 806)(117, 333, 549, 765, 159, 375, 591, 807)(119, 335, 551, 767, 160, 376, 592, 808)(121, 337, 553, 769, 161, 377, 593, 809)(124, 340, 556, 772, 163, 379, 595, 811)(126, 342, 558, 774, 165, 381, 597, 813)(128, 344, 560, 776, 168, 384, 600, 816)(129, 345, 561, 777, 169, 385, 601, 817)(131, 347, 563, 779, 170, 386, 602, 818)(132, 348, 564, 780, 171, 387, 603, 819)(134, 350, 566, 782, 172, 388, 604, 820)(135, 351, 567, 783, 173, 389, 605, 821)(138, 354, 570, 786, 174, 390, 606, 822)(139, 355, 571, 787, 175, 391, 607, 823)(140, 356, 572, 788, 176, 392, 608, 824)(144, 360, 576, 792, 179, 395, 611, 827)(146, 362, 578, 794, 180, 396, 612, 828)(148, 364, 580, 796, 181, 397, 613, 829)(149, 365, 581, 797, 182, 398, 614, 830)(162, 378, 594, 810, 195, 411, 627, 843)(164, 380, 596, 812, 196, 412, 628, 844)(166, 382, 598, 814, 197, 413, 629, 845)(167, 383, 599, 815, 198, 414, 630, 846)(177, 393, 609, 825, 209, 425, 641, 857)(178, 394, 610, 826, 210, 426, 642, 858)(183, 399, 615, 831, 199, 415, 631, 847)(184, 400, 616, 832, 202, 418, 634, 850)(185, 401, 617, 833, 207, 423, 639, 855)(186, 402, 618, 834, 200, 416, 632, 848)(187, 403, 619, 835, 205, 421, 637, 853)(188, 404, 620, 836, 212, 428, 644, 860)(189, 405, 621, 837, 203, 419, 635, 851)(190, 406, 622, 838, 211, 427, 643, 859)(191, 407, 623, 839, 201, 417, 633, 849)(192, 408, 624, 840, 208, 424, 640, 856)(193, 409, 625, 841, 213, 429, 645, 861)(194, 410, 626, 842, 214, 430, 646, 862)(204, 420, 636, 852, 216, 432, 648, 864)(206, 422, 638, 854, 215, 431, 647, 863)
	L = (1, 218)(2, 217)(3, 223)(4, 225)(5, 227)(6, 229)(7, 219)(8, 232)(9, 220)(10, 236)(11, 221)(12, 239)(13, 222)(14, 243)(15, 245)(16, 224)(17, 249)(18, 251)(19, 253)(20, 226)(21, 256)(22, 258)(23, 228)(24, 262)(25, 264)(26, 266)(27, 230)(28, 269)(29, 231)(30, 273)(31, 275)(32, 277)(33, 233)(34, 280)(35, 234)(36, 282)(37, 235)(38, 284)(39, 279)(40, 237)(41, 272)(42, 238)(43, 292)(44, 294)(45, 296)(46, 240)(47, 299)(48, 241)(49, 301)(50, 242)(51, 303)(52, 298)(53, 244)(54, 291)(55, 309)(56, 257)(57, 246)(58, 313)(59, 247)(60, 305)(61, 248)(62, 316)(63, 255)(64, 250)(65, 320)(66, 252)(67, 323)(68, 254)(69, 326)(70, 295)(71, 311)(72, 330)(73, 332)(74, 333)(75, 270)(76, 259)(77, 337)(78, 260)(79, 286)(80, 261)(81, 340)(82, 268)(83, 263)(84, 344)(85, 265)(86, 347)(87, 267)(88, 350)(89, 276)(90, 335)(91, 354)(92, 356)(93, 271)(94, 342)(95, 287)(96, 336)(97, 274)(98, 345)(99, 348)(100, 278)(101, 355)(102, 334)(103, 364)(104, 281)(105, 338)(106, 349)(107, 283)(108, 339)(109, 346)(110, 285)(111, 366)(112, 353)(113, 352)(114, 288)(115, 341)(116, 289)(117, 290)(118, 318)(119, 306)(120, 312)(121, 293)(122, 321)(123, 324)(124, 297)(125, 331)(126, 310)(127, 382)(128, 300)(129, 314)(130, 325)(131, 302)(132, 315)(133, 322)(134, 304)(135, 384)(136, 329)(137, 328)(138, 307)(139, 317)(140, 308)(141, 378)(142, 383)(143, 394)(144, 375)(145, 381)(146, 385)(147, 379)(148, 319)(149, 376)(150, 327)(151, 380)(152, 399)(153, 401)(154, 403)(155, 405)(156, 400)(157, 404)(158, 407)(159, 360)(160, 365)(161, 410)(162, 357)(163, 363)(164, 367)(165, 361)(166, 343)(167, 358)(168, 351)(169, 362)(170, 415)(171, 417)(172, 419)(173, 421)(174, 416)(175, 420)(176, 423)(177, 411)(178, 359)(179, 409)(180, 427)(181, 418)(182, 422)(183, 368)(184, 372)(185, 369)(186, 413)(187, 370)(188, 373)(189, 371)(190, 414)(191, 374)(192, 426)(193, 395)(194, 377)(195, 393)(196, 431)(197, 402)(198, 406)(199, 386)(200, 390)(201, 387)(202, 397)(203, 388)(204, 391)(205, 389)(206, 398)(207, 392)(208, 430)(209, 432)(210, 408)(211, 396)(212, 429)(213, 428)(214, 424)(215, 412)(216, 425)(433, 651)(434, 653)(435, 649)(436, 658)(437, 650)(438, 662)(439, 659)(440, 665)(441, 666)(442, 652)(443, 655)(444, 672)(445, 673)(446, 654)(447, 678)(448, 679)(449, 656)(450, 657)(451, 686)(452, 683)(453, 689)(454, 691)(455, 692)(456, 660)(457, 661)(458, 699)(459, 696)(460, 702)(461, 703)(462, 663)(463, 664)(464, 710)(465, 707)(466, 698)(467, 668)(468, 697)(469, 695)(470, 667)(471, 718)(472, 719)(473, 669)(474, 722)(475, 670)(476, 671)(477, 729)(478, 726)(479, 685)(480, 675)(481, 684)(482, 682)(483, 674)(484, 737)(485, 738)(486, 676)(487, 677)(488, 743)(489, 741)(490, 728)(491, 681)(492, 742)(493, 725)(494, 680)(495, 750)(496, 735)(497, 753)(498, 744)(499, 756)(500, 731)(501, 759)(502, 687)(503, 688)(504, 763)(505, 755)(506, 690)(507, 767)(508, 765)(509, 709)(510, 694)(511, 766)(512, 706)(513, 693)(514, 774)(515, 716)(516, 777)(517, 768)(518, 780)(519, 712)(520, 783)(521, 700)(522, 701)(523, 787)(524, 779)(525, 705)(526, 708)(527, 704)(528, 714)(529, 772)(530, 792)(531, 788)(532, 769)(533, 794)(534, 711)(535, 797)(536, 789)(537, 713)(538, 793)(539, 721)(540, 715)(541, 784)(542, 791)(543, 717)(544, 781)(545, 795)(546, 799)(547, 720)(548, 771)(549, 724)(550, 727)(551, 723)(552, 733)(553, 748)(554, 810)(555, 764)(556, 745)(557, 812)(558, 730)(559, 815)(560, 807)(561, 732)(562, 811)(563, 740)(564, 734)(565, 760)(566, 809)(567, 736)(568, 757)(569, 813)(570, 817)(571, 739)(572, 747)(573, 752)(574, 825)(575, 758)(576, 746)(577, 754)(578, 749)(579, 761)(580, 827)(581, 751)(582, 826)(583, 762)(584, 832)(585, 834)(586, 836)(587, 831)(588, 837)(589, 838)(590, 840)(591, 776)(592, 841)(593, 782)(594, 770)(595, 778)(596, 773)(597, 785)(598, 843)(599, 775)(600, 842)(601, 786)(602, 848)(603, 850)(604, 852)(605, 847)(606, 853)(607, 854)(608, 856)(609, 790)(610, 798)(611, 796)(612, 849)(613, 859)(614, 851)(615, 803)(616, 800)(617, 844)(618, 801)(619, 846)(620, 802)(621, 804)(622, 805)(623, 857)(624, 806)(625, 808)(626, 816)(627, 814)(628, 833)(629, 863)(630, 835)(631, 821)(632, 818)(633, 828)(634, 819)(635, 830)(636, 820)(637, 822)(638, 823)(639, 861)(640, 824)(641, 839)(642, 864)(643, 829)(644, 862)(645, 855)(646, 860)(647, 845)(648, 858)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.2970
Transitivity :: VT+
Graph::
	v = 108 e = 432 f = 270
	degree seq :: [ 8^108 ]

E28.2972 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = (C9 x A4) : C2 (small group id <216, 93>)
Aut   = $<432, 521>$ (small group id <432, 521>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1)^3, (Y1 * Y3^-1 * Y2)^2, Y3^-1 * Y1 * Y3^-2 * Y2 * Y3^-1 * Y1 * Y2, Y3^-1 * Y2 * Y3^2 * Y2 * Y1 * Y3^2 * Y1 * Y3^-1, Y3^-1 * Y1 * Y3^-1 * Y2 * Y3^2 * Y2 * Y3 * Y1 * Y3^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1, Y1 * Y3^-1 * Y1 * Y3^-2 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1 * Y1 * Y3^-1 ]
Map::
	R = (1, 217, 433, 649, 4, 220, 436, 652, 14, 230, 446, 662, 5, 221, 437, 653)(2, 218, 434, 650, 7, 223, 439, 655, 22, 238, 454, 670, 8, 224, 440, 656)(3, 219, 435, 651, 10, 226, 442, 658, 28, 244, 460, 676, 11, 227, 443, 659)(6, 222, 438, 654, 18, 234, 450, 666, 46, 262, 478, 694, 19, 235, 451, 667)(9, 225, 441, 657, 25, 241, 457, 673, 62, 278, 494, 710, 26, 242, 458, 674)(12, 228, 444, 660, 31, 247, 463, 679, 73, 289, 505, 721, 32, 248, 464, 680)(13, 229, 445, 661, 34, 250, 466, 682, 47, 263, 479, 695, 35, 251, 467, 683)(15, 231, 447, 663, 39, 255, 471, 687, 61, 277, 493, 709, 40, 256, 472, 688)(16, 232, 448, 664, 41, 257, 473, 689, 87, 303, 519, 735, 42, 258, 474, 690)(17, 233, 449, 665, 43, 259, 475, 691, 90, 306, 522, 738, 44, 260, 476, 692)(20, 236, 452, 668, 49, 265, 481, 697, 101, 317, 533, 749, 50, 266, 482, 698)(21, 237, 453, 669, 52, 268, 484, 700, 29, 245, 461, 677, 53, 269, 485, 701)(23, 239, 455, 671, 57, 273, 489, 705, 89, 305, 521, 737, 58, 274, 490, 706)(24, 240, 456, 672, 59, 275, 491, 707, 115, 331, 547, 763, 60, 276, 492, 708)(27, 243, 459, 675, 64, 280, 496, 712, 91, 307, 523, 739, 65, 281, 497, 713)(30, 246, 462, 678, 69, 285, 501, 717, 118, 334, 550, 766, 70, 286, 502, 718)(33, 249, 465, 681, 55, 271, 487, 703, 110, 326, 542, 758, 76, 292, 508, 724)(36, 252, 468, 684, 68, 284, 500, 716, 95, 311, 527, 743, 80, 296, 512, 728)(37, 253, 469, 685, 82, 298, 514, 730, 104, 320, 536, 752, 51, 267, 483, 699)(38, 254, 470, 686, 81, 297, 513, 729, 117, 333, 549, 765, 66, 282, 498, 714)(45, 261, 477, 693, 92, 308, 524, 740, 63, 279, 495, 711, 93, 309, 525, 741)(48, 264, 480, 696, 97, 313, 529, 745, 132, 348, 564, 780, 98, 314, 530, 746)(54, 270, 486, 702, 96, 312, 528, 744, 67, 283, 499, 715, 108, 324, 540, 756)(56, 272, 488, 704, 109, 325, 541, 757, 131, 347, 563, 779, 94, 310, 526, 742)(71, 287, 503, 719, 119, 335, 551, 767, 84, 300, 516, 732, 120, 336, 552, 768)(72, 288, 504, 720, 121, 337, 553, 769, 78, 294, 510, 726, 122, 338, 554, 770)(74, 290, 506, 722, 123, 339, 555, 771, 83, 299, 515, 731, 124, 340, 556, 772)(75, 291, 507, 723, 125, 341, 557, 773, 85, 301, 517, 733, 126, 342, 558, 774)(77, 293, 509, 725, 127, 343, 559, 775, 88, 304, 520, 736, 128, 344, 560, 776)(79, 295, 511, 727, 129, 345, 561, 777, 86, 302, 518, 734, 130, 346, 562, 778)(99, 315, 531, 747, 133, 349, 565, 781, 112, 328, 544, 760, 134, 350, 566, 782)(100, 316, 532, 748, 135, 351, 567, 783, 106, 322, 538, 754, 136, 352, 568, 784)(102, 318, 534, 750, 137, 353, 569, 785, 111, 327, 543, 759, 138, 354, 570, 786)(103, 319, 535, 751, 139, 355, 571, 787, 113, 329, 545, 761, 140, 356, 572, 788)(105, 321, 537, 753, 141, 357, 573, 789, 116, 332, 548, 764, 142, 358, 574, 790)(107, 323, 539, 755, 143, 359, 575, 791, 114, 330, 546, 762, 144, 360, 576, 792)(145, 361, 577, 793, 169, 385, 601, 817, 153, 369, 585, 801, 170, 386, 602, 818)(146, 362, 578, 794, 171, 387, 603, 819, 150, 366, 582, 798, 172, 388, 604, 820)(147, 363, 579, 795, 173, 389, 605, 821, 152, 368, 584, 800, 174, 390, 606, 822)(148, 364, 580, 796, 175, 391, 607, 823, 154, 370, 586, 802, 176, 392, 608, 824)(149, 365, 581, 797, 177, 393, 609, 825, 156, 372, 588, 804, 178, 394, 610, 826)(151, 367, 583, 799, 179, 395, 611, 827, 155, 371, 587, 803, 180, 396, 612, 828)(157, 373, 589, 805, 181, 397, 613, 829, 165, 381, 597, 813, 182, 398, 614, 830)(158, 374, 590, 806, 183, 399, 615, 831, 162, 378, 594, 810, 184, 400, 616, 832)(159, 375, 591, 807, 185, 401, 617, 833, 164, 380, 596, 812, 186, 402, 618, 834)(160, 376, 592, 808, 187, 403, 619, 835, 166, 382, 598, 814, 188, 404, 620, 836)(161, 377, 593, 809, 189, 405, 621, 837, 168, 384, 600, 816, 190, 406, 622, 838)(163, 379, 595, 811, 191, 407, 623, 839, 167, 383, 599, 815, 192, 408, 624, 840)(193, 409, 625, 841, 207, 423, 639, 855, 201, 417, 633, 849, 212, 428, 644, 860)(194, 410, 626, 842, 211, 427, 643, 859, 198, 414, 630, 846, 215, 431, 647, 863)(195, 411, 627, 843, 213, 429, 645, 861, 200, 416, 632, 848, 205, 421, 637, 853)(196, 412, 628, 844, 216, 432, 648, 864, 202, 418, 634, 850, 209, 425, 641, 857)(197, 413, 629, 845, 208, 424, 640, 856, 204, 420, 636, 852, 214, 430, 646, 862)(199, 415, 631, 847, 210, 426, 642, 858, 203, 419, 635, 851, 206, 422, 638, 854)
	L = (1, 218)(2, 217)(3, 225)(4, 228)(5, 231)(6, 233)(7, 236)(8, 239)(9, 219)(10, 240)(11, 245)(12, 220)(13, 249)(14, 252)(15, 221)(16, 234)(17, 222)(18, 232)(19, 263)(20, 223)(21, 267)(22, 270)(23, 224)(24, 226)(25, 264)(26, 279)(27, 272)(28, 282)(29, 227)(30, 259)(31, 287)(32, 290)(33, 229)(34, 291)(35, 294)(36, 230)(37, 297)(38, 261)(39, 299)(40, 300)(41, 301)(42, 288)(43, 246)(44, 307)(45, 254)(46, 310)(47, 235)(48, 241)(49, 315)(50, 318)(51, 237)(52, 319)(53, 322)(54, 238)(55, 325)(56, 243)(57, 327)(58, 328)(59, 329)(60, 316)(61, 312)(62, 320)(63, 242)(64, 332)(65, 323)(66, 244)(67, 311)(68, 305)(69, 321)(70, 330)(71, 247)(72, 258)(73, 324)(74, 248)(75, 250)(76, 306)(77, 313)(78, 251)(79, 309)(80, 317)(81, 253)(82, 331)(83, 255)(84, 256)(85, 257)(86, 314)(87, 326)(88, 308)(89, 284)(90, 292)(91, 260)(92, 304)(93, 295)(94, 262)(95, 283)(96, 277)(97, 293)(98, 302)(99, 265)(100, 276)(101, 296)(102, 266)(103, 268)(104, 278)(105, 285)(106, 269)(107, 281)(108, 289)(109, 271)(110, 303)(111, 273)(112, 274)(113, 275)(114, 286)(115, 298)(116, 280)(117, 348)(118, 347)(119, 361)(120, 363)(121, 364)(122, 366)(123, 368)(124, 369)(125, 370)(126, 362)(127, 372)(128, 367)(129, 365)(130, 371)(131, 334)(132, 333)(133, 373)(134, 375)(135, 376)(136, 378)(137, 380)(138, 381)(139, 382)(140, 374)(141, 384)(142, 379)(143, 377)(144, 383)(145, 335)(146, 342)(147, 336)(148, 337)(149, 345)(150, 338)(151, 344)(152, 339)(153, 340)(154, 341)(155, 346)(156, 343)(157, 349)(158, 356)(159, 350)(160, 351)(161, 359)(162, 352)(163, 358)(164, 353)(165, 354)(166, 355)(167, 360)(168, 357)(169, 409)(170, 411)(171, 412)(172, 414)(173, 416)(174, 417)(175, 418)(176, 410)(177, 420)(178, 415)(179, 413)(180, 419)(181, 421)(182, 423)(183, 424)(184, 426)(185, 428)(186, 429)(187, 430)(188, 422)(189, 432)(190, 427)(191, 425)(192, 431)(193, 385)(194, 392)(195, 386)(196, 387)(197, 395)(198, 388)(199, 394)(200, 389)(201, 390)(202, 391)(203, 396)(204, 393)(205, 397)(206, 404)(207, 398)(208, 399)(209, 407)(210, 400)(211, 406)(212, 401)(213, 402)(214, 403)(215, 408)(216, 405)(433, 651)(434, 654)(435, 649)(436, 661)(437, 664)(438, 650)(439, 669)(440, 672)(441, 665)(442, 675)(443, 678)(444, 674)(445, 652)(446, 685)(447, 686)(448, 653)(449, 657)(450, 693)(451, 696)(452, 692)(453, 655)(454, 703)(455, 704)(456, 656)(457, 709)(458, 660)(459, 658)(460, 715)(461, 716)(462, 659)(463, 720)(464, 723)(465, 711)(466, 725)(467, 727)(468, 724)(469, 662)(470, 663)(471, 726)(472, 733)(473, 734)(474, 736)(475, 737)(476, 668)(477, 666)(478, 743)(479, 744)(480, 667)(481, 748)(482, 751)(483, 739)(484, 753)(485, 755)(486, 752)(487, 670)(488, 671)(489, 754)(490, 761)(491, 762)(492, 764)(493, 673)(494, 757)(495, 681)(496, 747)(497, 759)(498, 742)(499, 676)(500, 677)(501, 750)(502, 760)(503, 740)(504, 679)(505, 765)(506, 745)(507, 680)(508, 684)(509, 682)(510, 687)(511, 683)(512, 763)(513, 738)(514, 766)(515, 741)(516, 746)(517, 688)(518, 689)(519, 756)(520, 690)(521, 691)(522, 729)(523, 699)(524, 719)(525, 731)(526, 714)(527, 694)(528, 695)(529, 722)(530, 732)(531, 712)(532, 697)(533, 779)(534, 717)(535, 698)(536, 702)(537, 700)(538, 705)(539, 701)(540, 735)(541, 710)(542, 780)(543, 713)(544, 718)(545, 706)(546, 707)(547, 728)(548, 708)(549, 721)(550, 730)(551, 794)(552, 796)(553, 797)(554, 799)(555, 798)(556, 802)(557, 803)(558, 804)(559, 793)(560, 800)(561, 795)(562, 801)(563, 749)(564, 758)(565, 806)(566, 808)(567, 809)(568, 811)(569, 810)(570, 814)(571, 815)(572, 816)(573, 805)(574, 812)(575, 807)(576, 813)(577, 775)(578, 767)(579, 777)(580, 768)(581, 769)(582, 771)(583, 770)(584, 776)(585, 778)(586, 772)(587, 773)(588, 774)(589, 789)(590, 781)(591, 791)(592, 782)(593, 783)(594, 785)(595, 784)(596, 790)(597, 792)(598, 786)(599, 787)(600, 788)(601, 842)(602, 844)(603, 845)(604, 847)(605, 846)(606, 850)(607, 851)(608, 852)(609, 841)(610, 848)(611, 843)(612, 849)(613, 854)(614, 856)(615, 857)(616, 859)(617, 858)(618, 862)(619, 863)(620, 864)(621, 853)(622, 860)(623, 855)(624, 861)(625, 825)(626, 817)(627, 827)(628, 818)(629, 819)(630, 821)(631, 820)(632, 826)(633, 828)(634, 822)(635, 823)(636, 824)(637, 837)(638, 829)(639, 839)(640, 830)(641, 831)(642, 833)(643, 832)(644, 838)(645, 840)(646, 834)(647, 835)(648, 836)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.2969
Transitivity :: VT+
Graph::
	v = 54 e = 432 f = 324
	degree seq :: [ 16^54 ]

E28.2973 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C9 x A4) : C2 (small group id <216, 93>)
Aut   = $<432, 521>$ (small group id <432, 521>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (Y3^-1 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y3)^4, Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y3, (R * Y2 * Y1 * Y2 * Y1 * Y2)^2, (Y2 * Y1)^9 ]
Map:: polytopal non-degenerate
	R = (1, 217, 2, 218)(3, 219, 9, 225)(4, 220, 12, 228)(5, 221, 13, 229)(6, 222, 14, 230)(7, 223, 17, 233)(8, 224, 18, 234)(10, 226, 22, 238)(11, 227, 23, 239)(15, 231, 33, 249)(16, 232, 34, 250)(19, 235, 41, 257)(20, 236, 44, 260)(21, 237, 45, 261)(24, 240, 52, 268)(25, 241, 40, 256)(26, 242, 55, 271)(27, 243, 56, 272)(28, 244, 59, 275)(29, 245, 36, 252)(30, 246, 60, 276)(31, 247, 53, 269)(32, 248, 63, 279)(35, 251, 69, 285)(37, 253, 71, 287)(38, 254, 48, 264)(39, 255, 74, 290)(42, 258, 78, 294)(43, 259, 79, 295)(46, 262, 82, 298)(47, 263, 81, 297)(49, 265, 85, 301)(50, 266, 73, 289)(51, 267, 70, 286)(54, 270, 68, 284)(57, 273, 89, 305)(58, 274, 67, 283)(61, 277, 96, 312)(62, 278, 97, 313)(64, 280, 100, 316)(65, 281, 99, 315)(66, 282, 102, 318)(72, 288, 106, 322)(75, 291, 109, 325)(76, 292, 83, 299)(77, 293, 105, 321)(80, 296, 107, 323)(84, 300, 116, 332)(86, 302, 118, 334)(87, 303, 115, 331)(88, 304, 95, 311)(90, 306, 98, 314)(91, 307, 108, 324)(92, 308, 94, 310)(93, 309, 123, 339)(101, 317, 130, 346)(103, 319, 132, 348)(104, 320, 129, 345)(110, 326, 140, 356)(111, 327, 141, 357)(112, 328, 142, 358)(113, 329, 136, 352)(114, 330, 144, 360)(117, 333, 139, 355)(119, 335, 135, 351)(120, 336, 138, 354)(121, 337, 133, 349)(122, 338, 127, 343)(124, 340, 152, 368)(125, 341, 153, 369)(126, 342, 154, 370)(128, 344, 156, 372)(131, 347, 151, 367)(134, 350, 150, 366)(137, 353, 161, 377)(143, 359, 168, 384)(145, 361, 170, 386)(146, 362, 167, 383)(147, 363, 171, 387)(148, 364, 165, 381)(149, 365, 173, 389)(155, 371, 180, 396)(157, 373, 182, 398)(158, 374, 179, 395)(159, 375, 183, 399)(160, 376, 177, 393)(162, 378, 187, 403)(163, 379, 188, 404)(164, 380, 189, 405)(166, 382, 191, 407)(169, 385, 186, 402)(172, 388, 185, 401)(174, 390, 198, 414)(175, 391, 199, 415)(176, 392, 200, 416)(178, 394, 202, 418)(181, 397, 197, 413)(184, 400, 196, 412)(190, 406, 209, 425)(192, 408, 210, 426)(193, 409, 208, 424)(194, 410, 211, 427)(195, 411, 207, 423)(201, 417, 214, 430)(203, 419, 215, 431)(204, 420, 213, 429)(205, 421, 216, 432)(206, 422, 212, 428)(433, 649, 435, 651)(434, 650, 438, 654)(436, 652, 443, 659)(437, 653, 442, 658)(439, 655, 448, 664)(440, 656, 447, 663)(441, 657, 451, 667)(444, 660, 456, 672)(445, 661, 459, 675)(446, 662, 462, 678)(449, 665, 467, 683)(450, 666, 470, 686)(452, 668, 475, 691)(453, 669, 474, 690)(454, 670, 478, 694)(455, 671, 481, 697)(457, 673, 486, 702)(458, 674, 485, 701)(460, 676, 490, 706)(461, 677, 489, 705)(463, 679, 494, 710)(464, 680, 493, 709)(465, 681, 496, 712)(466, 682, 498, 714)(468, 684, 502, 718)(469, 685, 476, 692)(471, 687, 505, 721)(472, 688, 504, 720)(473, 689, 507, 723)(477, 693, 487, 703)(479, 695, 516, 732)(480, 696, 515, 731)(482, 698, 519, 735)(483, 699, 518, 734)(484, 700, 520, 736)(488, 704, 524, 740)(491, 707, 512, 728)(492, 708, 525, 741)(495, 711, 503, 719)(497, 713, 533, 749)(499, 715, 536, 752)(500, 716, 535, 751)(501, 717, 537, 753)(506, 722, 530, 746)(508, 724, 543, 759)(509, 725, 542, 758)(510, 726, 544, 760)(511, 727, 546, 762)(513, 729, 523, 739)(514, 730, 549, 765)(517, 733, 552, 768)(521, 737, 554, 770)(522, 738, 553, 769)(526, 742, 557, 773)(527, 743, 556, 772)(528, 744, 558, 774)(529, 745, 560, 776)(531, 747, 540, 756)(532, 748, 563, 779)(534, 750, 566, 782)(538, 754, 568, 784)(539, 755, 567, 783)(541, 757, 569, 785)(545, 761, 575, 791)(547, 763, 578, 794)(548, 764, 577, 793)(550, 766, 580, 796)(551, 767, 579, 795)(555, 771, 581, 797)(559, 775, 587, 803)(561, 777, 590, 806)(562, 778, 589, 805)(564, 780, 592, 808)(565, 781, 591, 807)(570, 786, 595, 811)(571, 787, 594, 810)(572, 788, 596, 812)(573, 789, 598, 814)(574, 790, 601, 817)(576, 792, 604, 820)(582, 798, 607, 823)(583, 799, 606, 822)(584, 800, 608, 824)(585, 801, 610, 826)(586, 802, 613, 829)(588, 804, 616, 832)(593, 809, 605, 821)(597, 813, 622, 838)(599, 815, 625, 841)(600, 816, 624, 840)(602, 818, 627, 843)(603, 819, 626, 842)(609, 825, 633, 849)(611, 827, 636, 852)(612, 828, 635, 851)(614, 830, 638, 854)(615, 831, 637, 853)(617, 833, 629, 845)(618, 834, 628, 844)(619, 835, 634, 850)(620, 836, 632, 848)(621, 837, 631, 847)(623, 839, 630, 846)(639, 855, 644, 860)(640, 856, 648, 864)(641, 857, 647, 863)(642, 858, 646, 862)(643, 859, 645, 861)
	L = (1, 436)(2, 439)(3, 442)(4, 437)(5, 433)(6, 447)(7, 440)(8, 434)(9, 452)(10, 443)(11, 435)(12, 457)(13, 460)(14, 463)(15, 448)(16, 438)(17, 468)(18, 471)(19, 474)(20, 453)(21, 441)(22, 479)(23, 482)(24, 485)(25, 458)(26, 444)(27, 489)(28, 461)(29, 445)(30, 493)(31, 464)(32, 446)(33, 497)(34, 499)(35, 476)(36, 469)(37, 449)(38, 504)(39, 472)(40, 450)(41, 508)(42, 475)(43, 451)(44, 502)(45, 512)(46, 515)(47, 480)(48, 454)(49, 518)(50, 483)(51, 455)(52, 521)(53, 486)(54, 456)(55, 523)(56, 465)(57, 490)(58, 459)(59, 487)(60, 526)(61, 494)(62, 462)(63, 530)(64, 524)(65, 488)(66, 535)(67, 500)(68, 466)(69, 538)(70, 467)(71, 540)(72, 505)(73, 470)(74, 503)(75, 542)(76, 509)(77, 473)(78, 545)(79, 547)(80, 513)(81, 477)(82, 550)(83, 516)(84, 478)(85, 510)(86, 519)(87, 481)(88, 553)(89, 522)(90, 484)(91, 491)(92, 533)(93, 556)(94, 527)(95, 492)(96, 559)(97, 561)(98, 531)(99, 495)(100, 564)(101, 496)(102, 528)(103, 536)(104, 498)(105, 567)(106, 539)(107, 501)(108, 506)(109, 570)(110, 543)(111, 507)(112, 552)(113, 517)(114, 577)(115, 548)(116, 511)(117, 579)(118, 551)(119, 514)(120, 575)(121, 554)(122, 520)(123, 582)(124, 557)(125, 525)(126, 566)(127, 534)(128, 589)(129, 562)(130, 529)(131, 591)(132, 565)(133, 532)(134, 587)(135, 568)(136, 537)(137, 594)(138, 571)(139, 541)(140, 597)(141, 599)(142, 602)(143, 544)(144, 572)(145, 578)(146, 546)(147, 580)(148, 549)(149, 606)(150, 583)(151, 555)(152, 609)(153, 611)(154, 614)(155, 558)(156, 584)(157, 590)(158, 560)(159, 592)(160, 563)(161, 617)(162, 595)(163, 569)(164, 604)(165, 576)(166, 624)(167, 600)(168, 573)(169, 626)(170, 603)(171, 574)(172, 622)(173, 628)(174, 607)(175, 581)(176, 616)(177, 588)(178, 635)(179, 612)(180, 585)(181, 637)(182, 615)(183, 586)(184, 633)(185, 618)(186, 593)(187, 639)(188, 640)(189, 642)(190, 596)(191, 619)(192, 625)(193, 598)(194, 627)(195, 601)(196, 629)(197, 605)(198, 644)(199, 645)(200, 647)(201, 608)(202, 630)(203, 636)(204, 610)(205, 638)(206, 613)(207, 623)(208, 641)(209, 620)(210, 643)(211, 621)(212, 634)(213, 646)(214, 631)(215, 648)(216, 632)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.2974
Graph:: simple bipartite
	v = 216 e = 432 f = 162
	degree seq :: [ 4^216 ]

E28.2974 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C9 x A4) : C2 (small group id <216, 93>)
Aut   = $<432, 521>$ (small group id <432, 521>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^3, Y1^4, (Y1 * Y3)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2 * Y3^-1 * Y1^-2 * Y3 * Y2 * Y1^-1, Y3 * Y1^-1 * Y2 * Y1^-2 * Y3^-1 * Y2 * Y1^-1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 217, 2, 218, 7, 223, 5, 221)(3, 219, 11, 227, 29, 245, 13, 229)(4, 220, 15, 231, 38, 254, 16, 232)(6, 222, 19, 235, 27, 243, 9, 225)(8, 224, 23, 239, 53, 269, 25, 241)(10, 226, 28, 244, 51, 267, 21, 237)(12, 228, 33, 249, 69, 285, 34, 250)(14, 230, 37, 253, 50, 266, 31, 247)(17, 233, 42, 258, 79, 295, 43, 259)(18, 234, 22, 238, 52, 268, 45, 261)(20, 236, 47, 263, 83, 299, 49, 265)(24, 240, 57, 273, 40, 256, 58, 274)(26, 242, 61, 277, 44, 260, 55, 271)(30, 246, 65, 281, 86, 302, 67, 283)(32, 248, 48, 264, 85, 301, 62, 278)(35, 251, 72, 288, 84, 300, 73, 289)(36, 252, 64, 280, 87, 303, 75, 291)(39, 255, 78, 294, 88, 304, 56, 272)(41, 257, 77, 293, 89, 305, 63, 279)(46, 262, 60, 276, 90, 306, 82, 298)(54, 270, 91, 307, 81, 297, 93, 309)(59, 275, 97, 313, 80, 296, 98, 314)(66, 282, 104, 320, 71, 287, 105, 321)(68, 284, 108, 324, 74, 290, 102, 318)(70, 286, 109, 325, 115, 331, 103, 319)(76, 292, 107, 323, 116, 332, 112, 328)(92, 308, 120, 336, 96, 312, 121, 337)(94, 310, 124, 340, 99, 315, 118, 334)(95, 311, 125, 341, 113, 329, 119, 335)(100, 316, 123, 339, 114, 330, 128, 344)(101, 317, 129, 345, 111, 327, 131, 347)(106, 322, 135, 351, 110, 326, 136, 352)(117, 333, 141, 357, 127, 343, 143, 359)(122, 338, 147, 363, 126, 342, 148, 364)(130, 346, 156, 372, 134, 350, 157, 373)(132, 348, 160, 376, 137, 353, 154, 370)(133, 349, 161, 377, 139, 355, 155, 371)(138, 354, 159, 375, 140, 356, 164, 380)(142, 358, 168, 384, 146, 362, 169, 385)(144, 360, 172, 388, 149, 365, 166, 382)(145, 361, 173, 389, 151, 367, 167, 383)(150, 366, 171, 387, 152, 368, 176, 392)(153, 369, 177, 393, 163, 379, 179, 395)(158, 374, 183, 399, 162, 378, 184, 400)(165, 381, 189, 405, 175, 391, 191, 407)(170, 386, 195, 411, 174, 390, 196, 412)(178, 394, 203, 419, 182, 398, 204, 420)(180, 396, 206, 422, 185, 401, 201, 417)(181, 397, 207, 423, 187, 403, 202, 418)(186, 402, 205, 421, 188, 404, 208, 424)(190, 406, 211, 427, 194, 410, 212, 428)(192, 408, 214, 430, 197, 413, 209, 425)(193, 409, 215, 431, 199, 415, 210, 426)(198, 414, 213, 429, 200, 416, 216, 432)(433, 649, 435, 651)(434, 650, 440, 656)(436, 652, 446, 662)(437, 653, 449, 665)(438, 654, 444, 660)(439, 655, 452, 668)(441, 657, 458, 674)(442, 658, 456, 672)(443, 659, 462, 678)(445, 661, 467, 683)(447, 663, 471, 687)(448, 664, 472, 688)(450, 666, 476, 692)(451, 667, 478, 694)(453, 669, 482, 698)(454, 670, 480, 696)(455, 671, 486, 702)(457, 673, 491, 707)(459, 675, 494, 710)(460, 676, 496, 712)(461, 677, 495, 711)(463, 679, 500, 716)(464, 680, 498, 714)(465, 681, 502, 718)(466, 682, 503, 719)(468, 684, 506, 722)(469, 685, 508, 724)(470, 686, 507, 723)(473, 689, 511, 727)(474, 690, 512, 728)(475, 691, 513, 729)(477, 693, 501, 717)(479, 695, 516, 732)(481, 697, 518, 734)(483, 699, 520, 736)(484, 700, 522, 738)(485, 701, 521, 737)(487, 703, 526, 742)(488, 704, 524, 740)(489, 705, 527, 743)(490, 706, 528, 744)(492, 708, 531, 747)(493, 709, 532, 748)(497, 713, 533, 749)(499, 715, 538, 754)(504, 720, 542, 758)(505, 721, 543, 759)(509, 725, 515, 731)(510, 726, 545, 761)(514, 730, 546, 762)(517, 733, 547, 763)(519, 735, 548, 764)(523, 739, 549, 765)(525, 741, 554, 770)(529, 745, 558, 774)(530, 746, 559, 775)(534, 750, 564, 780)(535, 751, 562, 778)(536, 752, 565, 781)(537, 753, 566, 782)(539, 755, 569, 785)(540, 756, 570, 786)(541, 757, 571, 787)(544, 760, 572, 788)(550, 766, 576, 792)(551, 767, 574, 790)(552, 768, 577, 793)(553, 769, 578, 794)(555, 771, 581, 797)(556, 772, 582, 798)(557, 773, 583, 799)(560, 776, 584, 800)(561, 777, 585, 801)(563, 779, 590, 806)(567, 783, 594, 810)(568, 784, 595, 811)(573, 789, 597, 813)(575, 791, 602, 818)(579, 795, 606, 822)(580, 796, 607, 823)(586, 802, 612, 828)(587, 803, 610, 826)(588, 804, 613, 829)(589, 805, 614, 830)(591, 807, 617, 833)(592, 808, 618, 834)(593, 809, 619, 835)(596, 812, 620, 836)(598, 814, 624, 840)(599, 815, 622, 838)(600, 816, 625, 841)(601, 817, 626, 842)(603, 819, 629, 845)(604, 820, 630, 846)(605, 821, 631, 847)(608, 824, 632, 848)(609, 825, 628, 844)(611, 827, 621, 837)(615, 831, 623, 839)(616, 832, 627, 843)(633, 849, 647, 863)(634, 850, 648, 864)(635, 851, 641, 857)(636, 852, 645, 861)(637, 853, 642, 858)(638, 854, 643, 859)(639, 855, 646, 862)(640, 856, 644, 860)
	L = (1, 436)(2, 441)(3, 444)(4, 438)(5, 450)(6, 433)(7, 453)(8, 456)(9, 442)(10, 434)(11, 463)(12, 446)(13, 468)(14, 435)(15, 437)(16, 473)(17, 471)(18, 447)(19, 448)(20, 480)(21, 454)(22, 439)(23, 487)(24, 458)(25, 492)(26, 440)(27, 495)(28, 459)(29, 494)(30, 498)(31, 464)(32, 443)(33, 445)(34, 479)(35, 502)(36, 465)(37, 466)(38, 477)(39, 476)(40, 478)(41, 451)(42, 493)(43, 514)(44, 449)(45, 509)(46, 511)(47, 469)(48, 482)(49, 519)(50, 452)(51, 521)(52, 483)(53, 520)(54, 524)(55, 488)(56, 455)(57, 457)(58, 474)(59, 527)(60, 489)(61, 490)(62, 496)(63, 460)(64, 461)(65, 534)(66, 500)(67, 539)(68, 462)(69, 507)(70, 506)(71, 508)(72, 540)(73, 544)(74, 467)(75, 515)(76, 516)(77, 470)(78, 475)(79, 472)(80, 528)(81, 545)(82, 510)(83, 501)(84, 503)(85, 481)(86, 547)(87, 517)(88, 522)(89, 484)(90, 485)(91, 550)(92, 526)(93, 555)(94, 486)(95, 531)(96, 532)(97, 556)(98, 560)(99, 491)(100, 512)(101, 562)(102, 535)(103, 497)(104, 499)(105, 504)(106, 565)(107, 536)(108, 537)(109, 505)(110, 566)(111, 571)(112, 541)(113, 546)(114, 513)(115, 548)(116, 518)(117, 574)(118, 551)(119, 523)(120, 525)(121, 529)(122, 577)(123, 552)(124, 553)(125, 530)(126, 578)(127, 583)(128, 557)(129, 586)(130, 564)(131, 591)(132, 533)(133, 569)(134, 570)(135, 592)(136, 596)(137, 538)(138, 542)(139, 572)(140, 543)(141, 598)(142, 576)(143, 603)(144, 549)(145, 581)(146, 582)(147, 604)(148, 608)(149, 554)(150, 558)(151, 584)(152, 559)(153, 610)(154, 587)(155, 561)(156, 563)(157, 567)(158, 613)(159, 588)(160, 589)(161, 568)(162, 614)(163, 619)(164, 593)(165, 622)(166, 599)(167, 573)(168, 575)(169, 579)(170, 625)(171, 600)(172, 601)(173, 580)(174, 626)(175, 631)(176, 605)(177, 633)(178, 612)(179, 637)(180, 585)(181, 617)(182, 618)(183, 638)(184, 640)(185, 590)(186, 594)(187, 620)(188, 595)(189, 641)(190, 624)(191, 645)(192, 597)(193, 629)(194, 630)(195, 646)(196, 648)(197, 602)(198, 606)(199, 632)(200, 607)(201, 634)(202, 609)(203, 611)(204, 615)(205, 635)(206, 636)(207, 616)(208, 639)(209, 642)(210, 621)(211, 623)(212, 627)(213, 643)(214, 644)(215, 628)(216, 647)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E28.2973
Graph:: simple bipartite
	v = 162 e = 432 f = 216
	degree seq :: [ 4^108, 8^54 ]

E28.2975 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = (C3 x ((C2 x C2) : C9)) : C2 (small group id <216, 94>)
Aut   = $<432, 522>$ (small group id <432, 522>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y2 * Y1 * Y3 * Y2)^2, Y3 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y3 * Y1, Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1 * Y2 * Y3, Y1 * Y3 * Y2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2 * Y3 * Y1 * Y2, (Y3 * Y2)^6, (Y1 * Y3 * Y2)^4, (Y3 * Y1)^9, Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 218, 2, 217)(3, 223, 7, 219)(4, 225, 9, 220)(5, 227, 11, 221)(6, 229, 13, 222)(8, 233, 17, 224)(10, 237, 21, 226)(12, 241, 25, 228)(14, 245, 29, 230)(15, 247, 31, 231)(16, 249, 33, 232)(18, 253, 37, 234)(19, 255, 39, 235)(20, 257, 41, 236)(22, 261, 45, 238)(23, 263, 47, 239)(24, 265, 49, 240)(26, 269, 53, 242)(27, 271, 55, 243)(28, 273, 57, 244)(30, 277, 61, 246)(32, 268, 52, 248)(34, 284, 68, 250)(35, 286, 70, 251)(36, 264, 48, 252)(38, 278, 62, 254)(40, 294, 78, 256)(42, 275, 59, 258)(43, 274, 58, 259)(44, 298, 82, 260)(46, 270, 54, 262)(50, 306, 90, 266)(51, 308, 92, 267)(56, 316, 100, 272)(60, 320, 104, 276)(63, 323, 107, 279)(64, 324, 108, 280)(65, 326, 110, 281)(66, 328, 112, 282)(67, 330, 114, 283)(69, 333, 117, 285)(71, 309, 93, 287)(72, 319, 103, 288)(73, 331, 115, 289)(74, 335, 119, 290)(75, 327, 111, 291)(76, 337, 121, 292)(77, 339, 123, 293)(79, 340, 124, 295)(80, 329, 113, 296)(81, 310, 94, 297)(83, 338, 122, 299)(84, 342, 126, 300)(85, 344, 128, 301)(86, 345, 129, 302)(87, 347, 131, 303)(88, 349, 133, 304)(89, 351, 135, 305)(91, 354, 138, 307)(95, 352, 136, 311)(96, 356, 140, 312)(97, 348, 132, 313)(98, 358, 142, 314)(99, 360, 144, 315)(101, 361, 145, 317)(102, 350, 134, 318)(105, 359, 143, 321)(106, 363, 147, 322)(109, 355, 139, 325)(116, 357, 141, 332)(118, 346, 130, 334)(120, 353, 137, 336)(125, 364, 148, 341)(127, 362, 146, 343)(149, 395, 179, 365)(150, 396, 180, 366)(151, 397, 181, 367)(152, 399, 183, 368)(153, 400, 184, 369)(154, 401, 185, 370)(155, 402, 186, 371)(156, 404, 188, 372)(157, 405, 189, 373)(158, 398, 182, 374)(159, 403, 187, 375)(160, 406, 190, 376)(161, 407, 191, 377)(162, 408, 192, 378)(163, 409, 193, 379)(164, 410, 194, 380)(165, 411, 195, 381)(166, 412, 196, 382)(167, 414, 198, 383)(168, 415, 199, 384)(169, 416, 200, 385)(170, 417, 201, 386)(171, 419, 203, 387)(172, 420, 204, 388)(173, 413, 197, 389)(174, 418, 202, 390)(175, 421, 205, 391)(176, 422, 206, 392)(177, 423, 207, 393)(178, 424, 208, 394)(209, 432, 216, 425)(210, 431, 215, 426)(211, 430, 214, 427)(212, 429, 213, 428)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 18)(9, 19)(11, 23)(12, 26)(13, 27)(16, 34)(17, 35)(20, 42)(21, 43)(22, 46)(24, 50)(25, 51)(28, 58)(29, 59)(30, 62)(31, 63)(32, 65)(33, 66)(36, 72)(37, 73)(38, 75)(39, 76)(40, 74)(41, 79)(44, 71)(45, 69)(47, 85)(48, 87)(49, 88)(52, 94)(53, 95)(54, 97)(55, 98)(56, 96)(57, 101)(60, 93)(61, 91)(64, 109)(67, 115)(68, 103)(70, 118)(77, 110)(78, 116)(80, 126)(81, 90)(82, 105)(83, 104)(84, 120)(86, 130)(89, 136)(92, 139)(99, 131)(100, 137)(102, 147)(106, 141)(107, 149)(108, 151)(111, 148)(112, 155)(113, 154)(114, 157)(117, 153)(119, 159)(121, 150)(122, 158)(123, 152)(124, 156)(125, 160)(127, 132)(128, 164)(129, 166)(133, 170)(134, 169)(135, 172)(138, 168)(140, 174)(142, 165)(143, 173)(144, 167)(145, 171)(146, 175)(161, 184)(162, 187)(163, 182)(176, 199)(177, 202)(178, 197)(179, 194)(180, 203)(181, 204)(183, 201)(185, 209)(186, 198)(188, 195)(189, 196)(190, 210)(191, 211)(192, 212)(193, 208)(200, 213)(205, 214)(206, 215)(207, 216)(217, 220)(218, 222)(219, 224)(221, 228)(223, 232)(225, 236)(226, 238)(227, 240)(229, 244)(230, 246)(231, 248)(233, 252)(234, 254)(235, 256)(237, 260)(239, 264)(241, 268)(242, 270)(243, 272)(245, 276)(247, 280)(249, 283)(250, 285)(251, 287)(253, 290)(255, 293)(257, 279)(258, 296)(259, 297)(261, 299)(262, 300)(263, 302)(265, 305)(266, 307)(267, 309)(269, 312)(271, 315)(273, 301)(274, 318)(275, 319)(277, 321)(278, 322)(281, 327)(282, 329)(284, 332)(286, 311)(288, 316)(289, 308)(291, 336)(292, 338)(294, 310)(295, 341)(298, 343)(303, 348)(304, 350)(306, 353)(313, 357)(314, 359)(317, 362)(320, 364)(323, 366)(324, 368)(325, 369)(326, 370)(328, 372)(330, 365)(331, 374)(333, 375)(334, 363)(335, 376)(337, 377)(339, 378)(340, 379)(342, 355)(344, 381)(345, 383)(346, 384)(347, 385)(349, 387)(351, 380)(352, 389)(354, 390)(356, 391)(358, 392)(360, 393)(361, 394)(367, 398)(371, 403)(373, 406)(382, 413)(386, 418)(388, 421)(395, 414)(396, 411)(397, 412)(399, 410)(400, 425)(401, 426)(402, 427)(404, 423)(405, 428)(407, 424)(408, 419)(409, 422)(415, 429)(416, 430)(417, 431)(420, 432)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E28.2976
Transitivity :: VT+ AT
Graph:: simple
	v = 108 e = 216 f = 54
	degree seq :: [ 4^108 ]

E28.2976 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = (C3 x ((C2 x C2) : C9)) : C2 (small group id <216, 94>)
Aut   = $<432, 522>$ (small group id <432, 522>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^4, R * Y3 * R * Y2, (R * Y1)^2, (Y2 * Y3 * Y1)^2, (Y2 * Y3 * Y1^-1)^2, Y2 * Y1^-2 * Y2 * Y3 * Y1^2 * Y3, (Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1)^2, (Y1^-1 * Y2 * Y1 * Y2 * Y1^-1)^2, Y2 * Y1^-1 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 218, 2, 222, 6, 221, 5, 217)(3, 225, 9, 241, 25, 227, 11, 219)(4, 228, 12, 248, 32, 230, 14, 220)(7, 235, 19, 263, 47, 237, 21, 223)(8, 238, 22, 269, 53, 240, 24, 224)(10, 244, 28, 258, 42, 239, 23, 226)(13, 250, 34, 261, 45, 236, 20, 229)(15, 253, 37, 296, 80, 254, 38, 231)(16, 255, 39, 301, 85, 256, 40, 232)(17, 257, 41, 304, 88, 259, 43, 233)(18, 260, 44, 310, 94, 262, 46, 234)(26, 275, 59, 308, 92, 277, 61, 242)(27, 278, 62, 309, 93, 279, 63, 243)(29, 281, 65, 312, 96, 276, 60, 245)(30, 283, 67, 305, 89, 284, 68, 246)(31, 285, 69, 306, 90, 286, 70, 247)(33, 288, 72, 313, 97, 290, 74, 249)(35, 292, 76, 307, 91, 289, 73, 251)(36, 294, 78, 311, 95, 295, 79, 252)(48, 316, 100, 299, 83, 318, 102, 264)(49, 319, 103, 300, 84, 320, 104, 265)(50, 321, 105, 280, 64, 317, 101, 266)(51, 323, 107, 297, 81, 324, 108, 267)(52, 325, 109, 298, 82, 326, 110, 268)(54, 328, 112, 303, 87, 330, 114, 270)(55, 331, 115, 291, 75, 329, 113, 271)(56, 333, 117, 302, 86, 334, 118, 272)(57, 335, 119, 348, 132, 314, 98, 273)(58, 327, 111, 293, 77, 322, 106, 274)(66, 332, 116, 287, 71, 315, 99, 282)(120, 361, 145, 344, 128, 362, 146, 336)(121, 363, 147, 345, 129, 364, 148, 337)(122, 365, 149, 342, 126, 366, 150, 338)(123, 367, 151, 343, 127, 368, 152, 339)(124, 369, 153, 347, 131, 370, 154, 340)(125, 371, 155, 346, 130, 372, 156, 341)(133, 373, 157, 357, 141, 374, 158, 349)(134, 375, 159, 358, 142, 376, 160, 350)(135, 377, 161, 355, 139, 378, 162, 351)(136, 379, 163, 356, 140, 380, 164, 352)(137, 381, 165, 360, 144, 382, 166, 353)(138, 383, 167, 359, 143, 384, 168, 354)(169, 409, 193, 393, 177, 410, 194, 385)(170, 411, 195, 394, 178, 412, 196, 386)(171, 413, 197, 391, 175, 414, 198, 387)(172, 415, 199, 392, 176, 416, 200, 388)(173, 417, 201, 396, 180, 418, 202, 389)(174, 419, 203, 395, 179, 420, 204, 390)(181, 421, 205, 405, 189, 422, 206, 397)(182, 423, 207, 406, 190, 424, 208, 398)(183, 425, 209, 403, 187, 426, 210, 399)(184, 427, 211, 404, 188, 428, 212, 400)(185, 429, 213, 408, 192, 430, 214, 401)(186, 431, 215, 407, 191, 432, 216, 402)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 17)(8, 23)(9, 26)(10, 29)(11, 30)(12, 31)(14, 27)(16, 28)(18, 45)(19, 48)(20, 50)(21, 51)(22, 52)(24, 49)(25, 57)(32, 71)(33, 73)(34, 75)(35, 77)(36, 76)(37, 81)(38, 83)(39, 84)(40, 82)(41, 89)(42, 91)(43, 92)(44, 93)(46, 90)(47, 98)(53, 111)(54, 113)(55, 116)(56, 115)(58, 96)(59, 120)(60, 97)(61, 122)(62, 123)(63, 121)(64, 99)(65, 95)(66, 94)(67, 126)(68, 128)(69, 129)(70, 127)(72, 131)(74, 130)(78, 125)(79, 124)(80, 119)(85, 106)(86, 105)(87, 101)(88, 132)(100, 133)(102, 135)(103, 136)(104, 134)(107, 139)(108, 141)(109, 142)(110, 140)(112, 144)(114, 143)(117, 138)(118, 137)(145, 169)(146, 171)(147, 172)(148, 170)(149, 175)(150, 177)(151, 178)(152, 176)(153, 180)(154, 179)(155, 174)(156, 173)(157, 181)(158, 183)(159, 184)(160, 182)(161, 187)(162, 189)(163, 190)(164, 188)(165, 192)(166, 191)(167, 186)(168, 185)(193, 210)(194, 205)(195, 213)(196, 216)(197, 206)(198, 209)(199, 215)(200, 214)(201, 211)(202, 208)(203, 207)(204, 212)(217, 220)(218, 224)(219, 226)(221, 232)(222, 234)(223, 236)(225, 243)(227, 247)(228, 249)(229, 251)(230, 252)(231, 250)(233, 258)(235, 265)(237, 268)(238, 270)(239, 271)(240, 272)(241, 274)(242, 276)(244, 280)(245, 282)(246, 281)(248, 273)(253, 298)(254, 300)(255, 302)(256, 303)(257, 306)(259, 309)(260, 311)(261, 312)(262, 313)(263, 315)(264, 317)(266, 322)(267, 321)(269, 314)(275, 337)(277, 339)(278, 340)(279, 341)(283, 343)(284, 345)(285, 346)(286, 347)(287, 307)(288, 336)(289, 308)(290, 338)(291, 327)(292, 305)(293, 304)(294, 342)(295, 344)(296, 332)(297, 331)(299, 329)(301, 335)(310, 348)(316, 350)(318, 352)(319, 353)(320, 354)(323, 356)(324, 358)(325, 359)(326, 360)(328, 349)(330, 351)(333, 355)(334, 357)(361, 386)(362, 388)(363, 389)(364, 390)(365, 392)(366, 394)(367, 395)(368, 396)(369, 385)(370, 387)(371, 391)(372, 393)(373, 398)(374, 400)(375, 401)(376, 402)(377, 404)(378, 406)(379, 407)(380, 408)(381, 397)(382, 399)(383, 403)(384, 405)(409, 432)(410, 429)(411, 428)(412, 423)(413, 430)(414, 431)(415, 424)(416, 427)(417, 426)(418, 421)(419, 422)(420, 425)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E28.2975
Transitivity :: VT+ AT
Graph:: simple
	v = 54 e = 216 f = 108
	degree seq :: [ 8^54 ]

E28.2977 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = (C3 x ((C2 x C2) : C9)) : C2 (small group id <216, 94>)
Aut   = $<432, 522>$ (small group id <432, 522>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y3, (Y2 * Y3 * Y1 * Y2 * Y1)^2, Y1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3, (Y2 * Y1)^6, Y2 * Y3 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y3, (Y3 * Y2)^9, Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 ]
Map:: polytopal
	R = (1, 217, 4, 220)(2, 218, 6, 222)(3, 219, 8, 224)(5, 221, 12, 228)(7, 223, 16, 232)(9, 225, 20, 236)(10, 226, 22, 238)(11, 227, 24, 240)(13, 229, 28, 244)(14, 230, 30, 246)(15, 231, 32, 248)(17, 233, 36, 252)(18, 234, 38, 254)(19, 235, 40, 256)(21, 237, 44, 260)(23, 239, 48, 264)(25, 241, 52, 268)(26, 242, 54, 270)(27, 243, 56, 272)(29, 245, 60, 276)(31, 247, 64, 280)(33, 249, 67, 283)(34, 250, 68, 284)(35, 251, 69, 285)(37, 253, 73, 289)(39, 255, 75, 291)(41, 257, 77, 293)(42, 258, 79, 295)(43, 259, 80, 296)(45, 261, 83, 299)(46, 262, 84, 300)(47, 263, 86, 302)(49, 265, 89, 305)(50, 266, 90, 306)(51, 267, 91, 307)(53, 269, 95, 311)(55, 271, 97, 313)(57, 273, 99, 315)(58, 274, 101, 317)(59, 275, 102, 318)(61, 277, 105, 321)(62, 278, 106, 322)(63, 279, 107, 323)(65, 281, 110, 326)(66, 282, 98, 314)(70, 286, 115, 331)(71, 287, 116, 332)(72, 288, 104, 320)(74, 290, 118, 334)(76, 292, 88, 304)(78, 294, 111, 327)(81, 297, 109, 325)(82, 298, 94, 310)(85, 301, 128, 344)(87, 303, 131, 347)(92, 308, 136, 352)(93, 309, 137, 353)(96, 312, 139, 355)(100, 316, 132, 348)(103, 319, 130, 346)(108, 324, 138, 354)(112, 328, 149, 365)(113, 329, 150, 366)(114, 330, 151, 367)(117, 333, 129, 345)(119, 335, 155, 371)(120, 336, 156, 372)(121, 337, 157, 373)(122, 338, 158, 374)(123, 339, 159, 375)(124, 340, 160, 376)(125, 341, 161, 377)(126, 342, 162, 378)(127, 343, 163, 379)(133, 349, 164, 380)(134, 350, 165, 381)(135, 351, 166, 382)(140, 356, 170, 386)(141, 357, 171, 387)(142, 358, 172, 388)(143, 359, 173, 389)(144, 360, 174, 390)(145, 361, 175, 391)(146, 362, 176, 392)(147, 363, 177, 393)(148, 364, 178, 394)(152, 368, 180, 396)(153, 369, 181, 397)(154, 370, 182, 398)(167, 383, 195, 411)(168, 384, 196, 412)(169, 385, 197, 413)(179, 395, 209, 425)(183, 399, 212, 428)(184, 400, 199, 415)(185, 401, 202, 418)(186, 402, 204, 420)(187, 403, 200, 416)(188, 404, 205, 421)(189, 405, 201, 417)(190, 406, 203, 419)(191, 407, 211, 427)(192, 408, 207, 423)(193, 409, 210, 426)(194, 410, 213, 429)(198, 414, 216, 432)(206, 422, 215, 431)(208, 424, 214, 430)(433, 434)(435, 439)(436, 441)(437, 443)(438, 445)(440, 449)(442, 453)(444, 457)(446, 461)(447, 463)(448, 465)(450, 469)(451, 471)(452, 473)(454, 477)(455, 479)(456, 481)(458, 485)(459, 487)(460, 489)(462, 493)(464, 491)(466, 483)(467, 482)(468, 502)(470, 506)(472, 508)(474, 510)(475, 480)(476, 505)(478, 499)(484, 524)(486, 528)(488, 530)(490, 532)(492, 527)(494, 521)(495, 517)(496, 540)(497, 541)(498, 543)(500, 545)(501, 535)(503, 529)(504, 539)(507, 525)(509, 552)(511, 555)(512, 554)(513, 523)(514, 551)(515, 557)(516, 559)(518, 561)(519, 562)(520, 564)(522, 566)(526, 560)(531, 573)(533, 576)(534, 575)(536, 572)(537, 578)(538, 580)(542, 565)(544, 563)(546, 570)(547, 574)(548, 577)(549, 567)(550, 579)(553, 568)(556, 569)(558, 571)(581, 601)(582, 600)(583, 611)(584, 605)(585, 597)(586, 596)(587, 615)(588, 616)(589, 618)(590, 599)(591, 620)(592, 622)(593, 617)(594, 619)(595, 621)(598, 626)(602, 630)(603, 631)(604, 633)(606, 635)(607, 637)(608, 632)(609, 634)(610, 636)(612, 638)(613, 640)(614, 642)(623, 627)(624, 644)(625, 628)(629, 646)(639, 648)(641, 647)(643, 645)(649, 651)(650, 653)(652, 658)(654, 662)(655, 663)(656, 666)(657, 667)(659, 671)(660, 674)(661, 675)(664, 682)(665, 683)(668, 690)(669, 691)(670, 694)(672, 698)(673, 699)(676, 706)(677, 707)(678, 710)(679, 711)(680, 713)(681, 714)(684, 719)(685, 720)(686, 705)(687, 712)(688, 704)(689, 702)(692, 729)(693, 730)(695, 733)(696, 735)(697, 736)(700, 741)(701, 742)(703, 734)(708, 751)(709, 752)(715, 760)(716, 762)(717, 746)(718, 758)(721, 743)(722, 765)(723, 767)(724, 739)(725, 769)(726, 770)(727, 772)(728, 761)(731, 774)(732, 768)(737, 781)(738, 783)(740, 779)(744, 786)(745, 788)(747, 790)(748, 791)(749, 793)(750, 782)(753, 795)(754, 789)(755, 780)(756, 778)(757, 777)(759, 776)(763, 800)(764, 801)(766, 802)(771, 797)(773, 798)(775, 799)(784, 815)(785, 816)(787, 817)(792, 812)(794, 813)(796, 814)(803, 827)(804, 833)(805, 835)(806, 831)(807, 837)(808, 832)(809, 839)(810, 840)(811, 841)(818, 842)(819, 848)(820, 850)(821, 846)(822, 852)(823, 847)(824, 854)(825, 855)(826, 856)(828, 858)(829, 849)(830, 859)(834, 844)(836, 860)(838, 857)(843, 862)(845, 863)(851, 864)(853, 861)
	L = (1, 433)(2, 434)(3, 435)(4, 436)(5, 437)(6, 438)(7, 439)(8, 440)(9, 441)(10, 442)(11, 443)(12, 444)(13, 445)(14, 446)(15, 447)(16, 448)(17, 449)(18, 450)(19, 451)(20, 452)(21, 453)(22, 454)(23, 455)(24, 456)(25, 457)(26, 458)(27, 459)(28, 460)(29, 461)(30, 462)(31, 463)(32, 464)(33, 465)(34, 466)(35, 467)(36, 468)(37, 469)(38, 470)(39, 471)(40, 472)(41, 473)(42, 474)(43, 475)(44, 476)(45, 477)(46, 478)(47, 479)(48, 480)(49, 481)(50, 482)(51, 483)(52, 484)(53, 485)(54, 486)(55, 487)(56, 488)(57, 489)(58, 490)(59, 491)(60, 492)(61, 493)(62, 494)(63, 495)(64, 496)(65, 497)(66, 498)(67, 499)(68, 500)(69, 501)(70, 502)(71, 503)(72, 504)(73, 505)(74, 506)(75, 507)(76, 508)(77, 509)(78, 510)(79, 511)(80, 512)(81, 513)(82, 514)(83, 515)(84, 516)(85, 517)(86, 518)(87, 519)(88, 520)(89, 521)(90, 522)(91, 523)(92, 524)(93, 525)(94, 526)(95, 527)(96, 528)(97, 529)(98, 530)(99, 531)(100, 532)(101, 533)(102, 534)(103, 535)(104, 536)(105, 537)(106, 538)(107, 539)(108, 540)(109, 541)(110, 542)(111, 543)(112, 544)(113, 545)(114, 546)(115, 547)(116, 548)(117, 549)(118, 550)(119, 551)(120, 552)(121, 553)(122, 554)(123, 555)(124, 556)(125, 557)(126, 558)(127, 559)(128, 560)(129, 561)(130, 562)(131, 563)(132, 564)(133, 565)(134, 566)(135, 567)(136, 568)(137, 569)(138, 570)(139, 571)(140, 572)(141, 573)(142, 574)(143, 575)(144, 576)(145, 577)(146, 578)(147, 579)(148, 580)(149, 581)(150, 582)(151, 583)(152, 584)(153, 585)(154, 586)(155, 587)(156, 588)(157, 589)(158, 590)(159, 591)(160, 592)(161, 593)(162, 594)(163, 595)(164, 596)(165, 597)(166, 598)(167, 599)(168, 600)(169, 601)(170, 602)(171, 603)(172, 604)(173, 605)(174, 606)(175, 607)(176, 608)(177, 609)(178, 610)(179, 611)(180, 612)(181, 613)(182, 614)(183, 615)(184, 616)(185, 617)(186, 618)(187, 619)(188, 620)(189, 621)(190, 622)(191, 623)(192, 624)(193, 625)(194, 626)(195, 627)(196, 628)(197, 629)(198, 630)(199, 631)(200, 632)(201, 633)(202, 634)(203, 635)(204, 636)(205, 637)(206, 638)(207, 639)(208, 640)(209, 641)(210, 642)(211, 643)(212, 644)(213, 645)(214, 646)(215, 647)(216, 648)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E28.2980
Graph:: simple bipartite
	v = 324 e = 432 f = 54
	degree seq :: [ 2^216, 4^108 ]

E28.2978 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = (C3 x ((C2 x C2) : C9)) : C2 (small group id <216, 94>)
Aut   = $<432, 522>$ (small group id <432, 522>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, (Y1 * Y2 * Y3^-1)^2, (Y2 * Y1 * Y3^-1)^2, Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1, (Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1)^2, (Y3^-1 * Y1 * Y3 * Y1 * Y3^-1)^2, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal
	R = (1, 217, 4, 220, 14, 230, 5, 221)(2, 218, 7, 223, 22, 238, 8, 224)(3, 219, 10, 226, 29, 245, 11, 227)(6, 222, 18, 234, 45, 261, 19, 235)(9, 225, 26, 242, 61, 277, 27, 243)(12, 228, 31, 247, 70, 286, 32, 248)(13, 229, 33, 249, 74, 290, 34, 250)(15, 231, 37, 253, 82, 298, 38, 254)(16, 232, 39, 255, 86, 302, 40, 256)(17, 233, 42, 258, 92, 308, 43, 259)(20, 236, 47, 263, 101, 317, 48, 264)(21, 237, 49, 265, 105, 321, 50, 266)(23, 239, 53, 269, 113, 329, 54, 270)(24, 240, 55, 271, 117, 333, 56, 272)(25, 241, 58, 274, 96, 312, 59, 275)(28, 244, 63, 279, 93, 309, 64, 280)(30, 246, 66, 282, 91, 307, 67, 283)(35, 251, 76, 292, 119, 335, 77, 293)(36, 252, 78, 294, 88, 304, 79, 295)(41, 257, 89, 305, 65, 281, 90, 306)(44, 260, 94, 310, 62, 278, 95, 311)(46, 262, 97, 313, 60, 276, 98, 314)(51, 267, 107, 323, 132, 348, 108, 324)(52, 268, 109, 325, 57, 273, 110, 326)(68, 284, 120, 336, 83, 299, 121, 337)(69, 285, 122, 338, 84, 300, 123, 339)(71, 287, 124, 340, 80, 296, 125, 341)(72, 288, 126, 342, 81, 297, 127, 343)(73, 289, 128, 344, 87, 303, 129, 345)(75, 291, 130, 346, 85, 301, 131, 347)(99, 315, 133, 349, 114, 330, 134, 350)(100, 316, 135, 351, 115, 331, 136, 352)(102, 318, 137, 353, 111, 327, 138, 354)(103, 319, 139, 355, 112, 328, 140, 356)(104, 320, 141, 357, 118, 334, 142, 358)(106, 322, 143, 359, 116, 332, 144, 360)(145, 361, 169, 385, 153, 369, 170, 386)(146, 362, 171, 387, 154, 370, 172, 388)(147, 363, 173, 389, 151, 367, 174, 390)(148, 364, 175, 391, 152, 368, 176, 392)(149, 365, 177, 393, 156, 372, 178, 394)(150, 366, 179, 395, 155, 371, 180, 396)(157, 373, 181, 397, 165, 381, 182, 398)(158, 374, 183, 399, 166, 382, 184, 400)(159, 375, 185, 401, 163, 379, 186, 402)(160, 376, 187, 403, 164, 380, 188, 404)(161, 377, 189, 405, 168, 384, 190, 406)(162, 378, 191, 407, 167, 383, 192, 408)(193, 409, 207, 423, 201, 417, 211, 427)(194, 410, 210, 426, 202, 418, 215, 431)(195, 411, 213, 429, 199, 415, 205, 421)(196, 412, 216, 432, 200, 416, 209, 425)(197, 413, 208, 424, 204, 420, 212, 428)(198, 414, 214, 430, 203, 419, 206, 422)(433, 434)(435, 441)(436, 444)(437, 447)(438, 449)(439, 452)(440, 455)(442, 456)(443, 453)(445, 451)(446, 467)(448, 450)(454, 483)(457, 489)(458, 492)(459, 494)(460, 491)(461, 497)(462, 490)(463, 500)(464, 503)(465, 504)(466, 501)(468, 493)(469, 512)(470, 515)(471, 516)(472, 513)(473, 520)(474, 523)(475, 525)(476, 522)(477, 528)(478, 521)(479, 531)(480, 534)(481, 535)(482, 532)(484, 524)(485, 543)(486, 546)(487, 547)(488, 544)(495, 550)(496, 548)(498, 538)(499, 536)(502, 540)(505, 530)(506, 541)(507, 529)(508, 545)(509, 533)(510, 537)(511, 549)(514, 539)(517, 527)(518, 542)(519, 526)(551, 564)(552, 577)(553, 579)(554, 580)(555, 578)(556, 583)(557, 585)(558, 586)(559, 584)(560, 588)(561, 587)(562, 582)(563, 581)(565, 589)(566, 591)(567, 592)(568, 590)(569, 595)(570, 597)(571, 598)(572, 596)(573, 600)(574, 599)(575, 594)(576, 593)(601, 625)(602, 627)(603, 628)(604, 626)(605, 631)(606, 633)(607, 634)(608, 632)(609, 636)(610, 635)(611, 630)(612, 629)(613, 637)(614, 639)(615, 640)(616, 638)(617, 643)(618, 645)(619, 646)(620, 644)(621, 648)(622, 647)(623, 642)(624, 641)(649, 651)(650, 654)(652, 661)(653, 664)(655, 669)(656, 672)(657, 673)(658, 676)(659, 678)(660, 675)(662, 684)(663, 674)(665, 689)(666, 692)(667, 694)(668, 691)(670, 700)(671, 690)(677, 699)(679, 717)(680, 720)(681, 721)(682, 723)(683, 693)(685, 729)(686, 732)(687, 733)(688, 735)(695, 748)(696, 751)(697, 752)(698, 754)(701, 760)(702, 763)(703, 764)(704, 766)(705, 767)(706, 761)(707, 749)(708, 757)(709, 740)(710, 758)(711, 747)(712, 750)(713, 744)(714, 759)(715, 762)(716, 742)(718, 738)(719, 743)(722, 756)(724, 765)(725, 753)(726, 739)(727, 741)(728, 745)(730, 737)(731, 746)(734, 755)(736, 780)(768, 794)(769, 796)(770, 797)(771, 798)(772, 800)(773, 802)(774, 803)(775, 804)(776, 793)(777, 795)(778, 799)(779, 801)(781, 806)(782, 808)(783, 809)(784, 810)(785, 812)(786, 814)(787, 815)(788, 816)(789, 805)(790, 807)(791, 811)(792, 813)(817, 842)(818, 844)(819, 845)(820, 846)(821, 848)(822, 850)(823, 851)(824, 852)(825, 841)(826, 843)(827, 847)(828, 849)(829, 854)(830, 856)(831, 857)(832, 858)(833, 860)(834, 862)(835, 863)(836, 864)(837, 853)(838, 855)(839, 859)(840, 861)
	L = (1, 433)(2, 434)(3, 435)(4, 436)(5, 437)(6, 438)(7, 439)(8, 440)(9, 441)(10, 442)(11, 443)(12, 444)(13, 445)(14, 446)(15, 447)(16, 448)(17, 449)(18, 450)(19, 451)(20, 452)(21, 453)(22, 454)(23, 455)(24, 456)(25, 457)(26, 458)(27, 459)(28, 460)(29, 461)(30, 462)(31, 463)(32, 464)(33, 465)(34, 466)(35, 467)(36, 468)(37, 469)(38, 470)(39, 471)(40, 472)(41, 473)(42, 474)(43, 475)(44, 476)(45, 477)(46, 478)(47, 479)(48, 480)(49, 481)(50, 482)(51, 483)(52, 484)(53, 485)(54, 486)(55, 487)(56, 488)(57, 489)(58, 490)(59, 491)(60, 492)(61, 493)(62, 494)(63, 495)(64, 496)(65, 497)(66, 498)(67, 499)(68, 500)(69, 501)(70, 502)(71, 503)(72, 504)(73, 505)(74, 506)(75, 507)(76, 508)(77, 509)(78, 510)(79, 511)(80, 512)(81, 513)(82, 514)(83, 515)(84, 516)(85, 517)(86, 518)(87, 519)(88, 520)(89, 521)(90, 522)(91, 523)(92, 524)(93, 525)(94, 526)(95, 527)(96, 528)(97, 529)(98, 530)(99, 531)(100, 532)(101, 533)(102, 534)(103, 535)(104, 536)(105, 537)(106, 538)(107, 539)(108, 540)(109, 541)(110, 542)(111, 543)(112, 544)(113, 545)(114, 546)(115, 547)(116, 548)(117, 549)(118, 550)(119, 551)(120, 552)(121, 553)(122, 554)(123, 555)(124, 556)(125, 557)(126, 558)(127, 559)(128, 560)(129, 561)(130, 562)(131, 563)(132, 564)(133, 565)(134, 566)(135, 567)(136, 568)(137, 569)(138, 570)(139, 571)(140, 572)(141, 573)(142, 574)(143, 575)(144, 576)(145, 577)(146, 578)(147, 579)(148, 580)(149, 581)(150, 582)(151, 583)(152, 584)(153, 585)(154, 586)(155, 587)(156, 588)(157, 589)(158, 590)(159, 591)(160, 592)(161, 593)(162, 594)(163, 595)(164, 596)(165, 597)(166, 598)(167, 599)(168, 600)(169, 601)(170, 602)(171, 603)(172, 604)(173, 605)(174, 606)(175, 607)(176, 608)(177, 609)(178, 610)(179, 611)(180, 612)(181, 613)(182, 614)(183, 615)(184, 616)(185, 617)(186, 618)(187, 619)(188, 620)(189, 621)(190, 622)(191, 623)(192, 624)(193, 625)(194, 626)(195, 627)(196, 628)(197, 629)(198, 630)(199, 631)(200, 632)(201, 633)(202, 634)(203, 635)(204, 636)(205, 637)(206, 638)(207, 639)(208, 640)(209, 641)(210, 642)(211, 643)(212, 644)(213, 645)(214, 646)(215, 647)(216, 648)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E28.2979
Graph:: simple bipartite
	v = 270 e = 432 f = 108
	degree seq :: [ 2^216, 8^54 ]

E28.2979 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = (C3 x ((C2 x C2) : C9)) : C2 (small group id <216, 94>)
Aut   = $<432, 522>$ (small group id <432, 522>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y3, (Y2 * Y3 * Y1 * Y2 * Y1)^2, Y1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3, (Y2 * Y1)^6, Y2 * Y3 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y3, (Y3 * Y2)^9, Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 ]
Map::
	R = (1, 217, 433, 649, 4, 220, 436, 652)(2, 218, 434, 650, 6, 222, 438, 654)(3, 219, 435, 651, 8, 224, 440, 656)(5, 221, 437, 653, 12, 228, 444, 660)(7, 223, 439, 655, 16, 232, 448, 664)(9, 225, 441, 657, 20, 236, 452, 668)(10, 226, 442, 658, 22, 238, 454, 670)(11, 227, 443, 659, 24, 240, 456, 672)(13, 229, 445, 661, 28, 244, 460, 676)(14, 230, 446, 662, 30, 246, 462, 678)(15, 231, 447, 663, 32, 248, 464, 680)(17, 233, 449, 665, 36, 252, 468, 684)(18, 234, 450, 666, 38, 254, 470, 686)(19, 235, 451, 667, 40, 256, 472, 688)(21, 237, 453, 669, 44, 260, 476, 692)(23, 239, 455, 671, 48, 264, 480, 696)(25, 241, 457, 673, 52, 268, 484, 700)(26, 242, 458, 674, 54, 270, 486, 702)(27, 243, 459, 675, 56, 272, 488, 704)(29, 245, 461, 677, 60, 276, 492, 708)(31, 247, 463, 679, 64, 280, 496, 712)(33, 249, 465, 681, 67, 283, 499, 715)(34, 250, 466, 682, 68, 284, 500, 716)(35, 251, 467, 683, 69, 285, 501, 717)(37, 253, 469, 685, 73, 289, 505, 721)(39, 255, 471, 687, 75, 291, 507, 723)(41, 257, 473, 689, 77, 293, 509, 725)(42, 258, 474, 690, 79, 295, 511, 727)(43, 259, 475, 691, 80, 296, 512, 728)(45, 261, 477, 693, 83, 299, 515, 731)(46, 262, 478, 694, 84, 300, 516, 732)(47, 263, 479, 695, 86, 302, 518, 734)(49, 265, 481, 697, 89, 305, 521, 737)(50, 266, 482, 698, 90, 306, 522, 738)(51, 267, 483, 699, 91, 307, 523, 739)(53, 269, 485, 701, 95, 311, 527, 743)(55, 271, 487, 703, 97, 313, 529, 745)(57, 273, 489, 705, 99, 315, 531, 747)(58, 274, 490, 706, 101, 317, 533, 749)(59, 275, 491, 707, 102, 318, 534, 750)(61, 277, 493, 709, 105, 321, 537, 753)(62, 278, 494, 710, 106, 322, 538, 754)(63, 279, 495, 711, 107, 323, 539, 755)(65, 281, 497, 713, 110, 326, 542, 758)(66, 282, 498, 714, 98, 314, 530, 746)(70, 286, 502, 718, 115, 331, 547, 763)(71, 287, 503, 719, 116, 332, 548, 764)(72, 288, 504, 720, 104, 320, 536, 752)(74, 290, 506, 722, 118, 334, 550, 766)(76, 292, 508, 724, 88, 304, 520, 736)(78, 294, 510, 726, 111, 327, 543, 759)(81, 297, 513, 729, 109, 325, 541, 757)(82, 298, 514, 730, 94, 310, 526, 742)(85, 301, 517, 733, 128, 344, 560, 776)(87, 303, 519, 735, 131, 347, 563, 779)(92, 308, 524, 740, 136, 352, 568, 784)(93, 309, 525, 741, 137, 353, 569, 785)(96, 312, 528, 744, 139, 355, 571, 787)(100, 316, 532, 748, 132, 348, 564, 780)(103, 319, 535, 751, 130, 346, 562, 778)(108, 324, 540, 756, 138, 354, 570, 786)(112, 328, 544, 760, 149, 365, 581, 797)(113, 329, 545, 761, 150, 366, 582, 798)(114, 330, 546, 762, 151, 367, 583, 799)(117, 333, 549, 765, 129, 345, 561, 777)(119, 335, 551, 767, 155, 371, 587, 803)(120, 336, 552, 768, 156, 372, 588, 804)(121, 337, 553, 769, 157, 373, 589, 805)(122, 338, 554, 770, 158, 374, 590, 806)(123, 339, 555, 771, 159, 375, 591, 807)(124, 340, 556, 772, 160, 376, 592, 808)(125, 341, 557, 773, 161, 377, 593, 809)(126, 342, 558, 774, 162, 378, 594, 810)(127, 343, 559, 775, 163, 379, 595, 811)(133, 349, 565, 781, 164, 380, 596, 812)(134, 350, 566, 782, 165, 381, 597, 813)(135, 351, 567, 783, 166, 382, 598, 814)(140, 356, 572, 788, 170, 386, 602, 818)(141, 357, 573, 789, 171, 387, 603, 819)(142, 358, 574, 790, 172, 388, 604, 820)(143, 359, 575, 791, 173, 389, 605, 821)(144, 360, 576, 792, 174, 390, 606, 822)(145, 361, 577, 793, 175, 391, 607, 823)(146, 362, 578, 794, 176, 392, 608, 824)(147, 363, 579, 795, 177, 393, 609, 825)(148, 364, 580, 796, 178, 394, 610, 826)(152, 368, 584, 800, 180, 396, 612, 828)(153, 369, 585, 801, 181, 397, 613, 829)(154, 370, 586, 802, 182, 398, 614, 830)(167, 383, 599, 815, 195, 411, 627, 843)(168, 384, 600, 816, 196, 412, 628, 844)(169, 385, 601, 817, 197, 413, 629, 845)(179, 395, 611, 827, 209, 425, 641, 857)(183, 399, 615, 831, 212, 428, 644, 860)(184, 400, 616, 832, 199, 415, 631, 847)(185, 401, 617, 833, 202, 418, 634, 850)(186, 402, 618, 834, 204, 420, 636, 852)(187, 403, 619, 835, 200, 416, 632, 848)(188, 404, 620, 836, 205, 421, 637, 853)(189, 405, 621, 837, 201, 417, 633, 849)(190, 406, 622, 838, 203, 419, 635, 851)(191, 407, 623, 839, 211, 427, 643, 859)(192, 408, 624, 840, 207, 423, 639, 855)(193, 409, 625, 841, 210, 426, 642, 858)(194, 410, 626, 842, 213, 429, 645, 861)(198, 414, 630, 846, 216, 432, 648, 864)(206, 422, 638, 854, 215, 431, 647, 863)(208, 424, 640, 856, 214, 430, 646, 862)
	L = (1, 218)(2, 217)(3, 223)(4, 225)(5, 227)(6, 229)(7, 219)(8, 233)(9, 220)(10, 237)(11, 221)(12, 241)(13, 222)(14, 245)(15, 247)(16, 249)(17, 224)(18, 253)(19, 255)(20, 257)(21, 226)(22, 261)(23, 263)(24, 265)(25, 228)(26, 269)(27, 271)(28, 273)(29, 230)(30, 277)(31, 231)(32, 275)(33, 232)(34, 267)(35, 266)(36, 286)(37, 234)(38, 290)(39, 235)(40, 292)(41, 236)(42, 294)(43, 264)(44, 289)(45, 238)(46, 283)(47, 239)(48, 259)(49, 240)(50, 251)(51, 250)(52, 308)(53, 242)(54, 312)(55, 243)(56, 314)(57, 244)(58, 316)(59, 248)(60, 311)(61, 246)(62, 305)(63, 301)(64, 324)(65, 325)(66, 327)(67, 262)(68, 329)(69, 319)(70, 252)(71, 313)(72, 323)(73, 260)(74, 254)(75, 309)(76, 256)(77, 336)(78, 258)(79, 339)(80, 338)(81, 307)(82, 335)(83, 341)(84, 343)(85, 279)(86, 345)(87, 346)(88, 348)(89, 278)(90, 350)(91, 297)(92, 268)(93, 291)(94, 344)(95, 276)(96, 270)(97, 287)(98, 272)(99, 357)(100, 274)(101, 360)(102, 359)(103, 285)(104, 356)(105, 362)(106, 364)(107, 288)(108, 280)(109, 281)(110, 349)(111, 282)(112, 347)(113, 284)(114, 354)(115, 358)(116, 361)(117, 351)(118, 363)(119, 298)(120, 293)(121, 352)(122, 296)(123, 295)(124, 353)(125, 299)(126, 355)(127, 300)(128, 310)(129, 302)(130, 303)(131, 328)(132, 304)(133, 326)(134, 306)(135, 333)(136, 337)(137, 340)(138, 330)(139, 342)(140, 320)(141, 315)(142, 331)(143, 318)(144, 317)(145, 332)(146, 321)(147, 334)(148, 322)(149, 385)(150, 384)(151, 395)(152, 389)(153, 381)(154, 380)(155, 399)(156, 400)(157, 402)(158, 383)(159, 404)(160, 406)(161, 401)(162, 403)(163, 405)(164, 370)(165, 369)(166, 410)(167, 374)(168, 366)(169, 365)(170, 414)(171, 415)(172, 417)(173, 368)(174, 419)(175, 421)(176, 416)(177, 418)(178, 420)(179, 367)(180, 422)(181, 424)(182, 426)(183, 371)(184, 372)(185, 377)(186, 373)(187, 378)(188, 375)(189, 379)(190, 376)(191, 411)(192, 428)(193, 412)(194, 382)(195, 407)(196, 409)(197, 430)(198, 386)(199, 387)(200, 392)(201, 388)(202, 393)(203, 390)(204, 394)(205, 391)(206, 396)(207, 432)(208, 397)(209, 431)(210, 398)(211, 429)(212, 408)(213, 427)(214, 413)(215, 425)(216, 423)(433, 651)(434, 653)(435, 649)(436, 658)(437, 650)(438, 662)(439, 663)(440, 666)(441, 667)(442, 652)(443, 671)(444, 674)(445, 675)(446, 654)(447, 655)(448, 682)(449, 683)(450, 656)(451, 657)(452, 690)(453, 691)(454, 694)(455, 659)(456, 698)(457, 699)(458, 660)(459, 661)(460, 706)(461, 707)(462, 710)(463, 711)(464, 713)(465, 714)(466, 664)(467, 665)(468, 719)(469, 720)(470, 705)(471, 712)(472, 704)(473, 702)(474, 668)(475, 669)(476, 729)(477, 730)(478, 670)(479, 733)(480, 735)(481, 736)(482, 672)(483, 673)(484, 741)(485, 742)(486, 689)(487, 734)(488, 688)(489, 686)(490, 676)(491, 677)(492, 751)(493, 752)(494, 678)(495, 679)(496, 687)(497, 680)(498, 681)(499, 760)(500, 762)(501, 746)(502, 758)(503, 684)(504, 685)(505, 743)(506, 765)(507, 767)(508, 739)(509, 769)(510, 770)(511, 772)(512, 761)(513, 692)(514, 693)(515, 774)(516, 768)(517, 695)(518, 703)(519, 696)(520, 697)(521, 781)(522, 783)(523, 724)(524, 779)(525, 700)(526, 701)(527, 721)(528, 786)(529, 788)(530, 717)(531, 790)(532, 791)(533, 793)(534, 782)(535, 708)(536, 709)(537, 795)(538, 789)(539, 780)(540, 778)(541, 777)(542, 718)(543, 776)(544, 715)(545, 728)(546, 716)(547, 800)(548, 801)(549, 722)(550, 802)(551, 723)(552, 732)(553, 725)(554, 726)(555, 797)(556, 727)(557, 798)(558, 731)(559, 799)(560, 759)(561, 757)(562, 756)(563, 740)(564, 755)(565, 737)(566, 750)(567, 738)(568, 815)(569, 816)(570, 744)(571, 817)(572, 745)(573, 754)(574, 747)(575, 748)(576, 812)(577, 749)(578, 813)(579, 753)(580, 814)(581, 771)(582, 773)(583, 775)(584, 763)(585, 764)(586, 766)(587, 827)(588, 833)(589, 835)(590, 831)(591, 837)(592, 832)(593, 839)(594, 840)(595, 841)(596, 792)(597, 794)(598, 796)(599, 784)(600, 785)(601, 787)(602, 842)(603, 848)(604, 850)(605, 846)(606, 852)(607, 847)(608, 854)(609, 855)(610, 856)(611, 803)(612, 858)(613, 849)(614, 859)(615, 806)(616, 808)(617, 804)(618, 844)(619, 805)(620, 860)(621, 807)(622, 857)(623, 809)(624, 810)(625, 811)(626, 818)(627, 862)(628, 834)(629, 863)(630, 821)(631, 823)(632, 819)(633, 829)(634, 820)(635, 864)(636, 822)(637, 861)(638, 824)(639, 825)(640, 826)(641, 838)(642, 828)(643, 830)(644, 836)(645, 853)(646, 843)(647, 845)(648, 851)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.2978
Transitivity :: VT+
Graph::
	v = 108 e = 432 f = 270
	degree seq :: [ 8^108 ]

E28.2980 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = (C3 x ((C2 x C2) : C9)) : C2 (small group id <216, 94>)
Aut   = $<432, 522>$ (small group id <432, 522>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, (Y1 * Y2 * Y3^-1)^2, (Y2 * Y1 * Y3^-1)^2, Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1, (Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1)^2, (Y3^-1 * Y1 * Y3 * Y1 * Y3^-1)^2, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 217, 433, 649, 4, 220, 436, 652, 14, 230, 446, 662, 5, 221, 437, 653)(2, 218, 434, 650, 7, 223, 439, 655, 22, 238, 454, 670, 8, 224, 440, 656)(3, 219, 435, 651, 10, 226, 442, 658, 29, 245, 461, 677, 11, 227, 443, 659)(6, 222, 438, 654, 18, 234, 450, 666, 45, 261, 477, 693, 19, 235, 451, 667)(9, 225, 441, 657, 26, 242, 458, 674, 61, 277, 493, 709, 27, 243, 459, 675)(12, 228, 444, 660, 31, 247, 463, 679, 70, 286, 502, 718, 32, 248, 464, 680)(13, 229, 445, 661, 33, 249, 465, 681, 74, 290, 506, 722, 34, 250, 466, 682)(15, 231, 447, 663, 37, 253, 469, 685, 82, 298, 514, 730, 38, 254, 470, 686)(16, 232, 448, 664, 39, 255, 471, 687, 86, 302, 518, 734, 40, 256, 472, 688)(17, 233, 449, 665, 42, 258, 474, 690, 92, 308, 524, 740, 43, 259, 475, 691)(20, 236, 452, 668, 47, 263, 479, 695, 101, 317, 533, 749, 48, 264, 480, 696)(21, 237, 453, 669, 49, 265, 481, 697, 105, 321, 537, 753, 50, 266, 482, 698)(23, 239, 455, 671, 53, 269, 485, 701, 113, 329, 545, 761, 54, 270, 486, 702)(24, 240, 456, 672, 55, 271, 487, 703, 117, 333, 549, 765, 56, 272, 488, 704)(25, 241, 457, 673, 58, 274, 490, 706, 96, 312, 528, 744, 59, 275, 491, 707)(28, 244, 460, 676, 63, 279, 495, 711, 93, 309, 525, 741, 64, 280, 496, 712)(30, 246, 462, 678, 66, 282, 498, 714, 91, 307, 523, 739, 67, 283, 499, 715)(35, 251, 467, 683, 76, 292, 508, 724, 119, 335, 551, 767, 77, 293, 509, 725)(36, 252, 468, 684, 78, 294, 510, 726, 88, 304, 520, 736, 79, 295, 511, 727)(41, 257, 473, 689, 89, 305, 521, 737, 65, 281, 497, 713, 90, 306, 522, 738)(44, 260, 476, 692, 94, 310, 526, 742, 62, 278, 494, 710, 95, 311, 527, 743)(46, 262, 478, 694, 97, 313, 529, 745, 60, 276, 492, 708, 98, 314, 530, 746)(51, 267, 483, 699, 107, 323, 539, 755, 132, 348, 564, 780, 108, 324, 540, 756)(52, 268, 484, 700, 109, 325, 541, 757, 57, 273, 489, 705, 110, 326, 542, 758)(68, 284, 500, 716, 120, 336, 552, 768, 83, 299, 515, 731, 121, 337, 553, 769)(69, 285, 501, 717, 122, 338, 554, 770, 84, 300, 516, 732, 123, 339, 555, 771)(71, 287, 503, 719, 124, 340, 556, 772, 80, 296, 512, 728, 125, 341, 557, 773)(72, 288, 504, 720, 126, 342, 558, 774, 81, 297, 513, 729, 127, 343, 559, 775)(73, 289, 505, 721, 128, 344, 560, 776, 87, 303, 519, 735, 129, 345, 561, 777)(75, 291, 507, 723, 130, 346, 562, 778, 85, 301, 517, 733, 131, 347, 563, 779)(99, 315, 531, 747, 133, 349, 565, 781, 114, 330, 546, 762, 134, 350, 566, 782)(100, 316, 532, 748, 135, 351, 567, 783, 115, 331, 547, 763, 136, 352, 568, 784)(102, 318, 534, 750, 137, 353, 569, 785, 111, 327, 543, 759, 138, 354, 570, 786)(103, 319, 535, 751, 139, 355, 571, 787, 112, 328, 544, 760, 140, 356, 572, 788)(104, 320, 536, 752, 141, 357, 573, 789, 118, 334, 550, 766, 142, 358, 574, 790)(106, 322, 538, 754, 143, 359, 575, 791, 116, 332, 548, 764, 144, 360, 576, 792)(145, 361, 577, 793, 169, 385, 601, 817, 153, 369, 585, 801, 170, 386, 602, 818)(146, 362, 578, 794, 171, 387, 603, 819, 154, 370, 586, 802, 172, 388, 604, 820)(147, 363, 579, 795, 173, 389, 605, 821, 151, 367, 583, 799, 174, 390, 606, 822)(148, 364, 580, 796, 175, 391, 607, 823, 152, 368, 584, 800, 176, 392, 608, 824)(149, 365, 581, 797, 177, 393, 609, 825, 156, 372, 588, 804, 178, 394, 610, 826)(150, 366, 582, 798, 179, 395, 611, 827, 155, 371, 587, 803, 180, 396, 612, 828)(157, 373, 589, 805, 181, 397, 613, 829, 165, 381, 597, 813, 182, 398, 614, 830)(158, 374, 590, 806, 183, 399, 615, 831, 166, 382, 598, 814, 184, 400, 616, 832)(159, 375, 591, 807, 185, 401, 617, 833, 163, 379, 595, 811, 186, 402, 618, 834)(160, 376, 592, 808, 187, 403, 619, 835, 164, 380, 596, 812, 188, 404, 620, 836)(161, 377, 593, 809, 189, 405, 621, 837, 168, 384, 600, 816, 190, 406, 622, 838)(162, 378, 594, 810, 191, 407, 623, 839, 167, 383, 599, 815, 192, 408, 624, 840)(193, 409, 625, 841, 207, 423, 639, 855, 201, 417, 633, 849, 211, 427, 643, 859)(194, 410, 626, 842, 210, 426, 642, 858, 202, 418, 634, 850, 215, 431, 647, 863)(195, 411, 627, 843, 213, 429, 645, 861, 199, 415, 631, 847, 205, 421, 637, 853)(196, 412, 628, 844, 216, 432, 648, 864, 200, 416, 632, 848, 209, 425, 641, 857)(197, 413, 629, 845, 208, 424, 640, 856, 204, 420, 636, 852, 212, 428, 644, 860)(198, 414, 630, 846, 214, 430, 646, 862, 203, 419, 635, 851, 206, 422, 638, 854)
	L = (1, 218)(2, 217)(3, 225)(4, 228)(5, 231)(6, 233)(7, 236)(8, 239)(9, 219)(10, 240)(11, 237)(12, 220)(13, 235)(14, 251)(15, 221)(16, 234)(17, 222)(18, 232)(19, 229)(20, 223)(21, 227)(22, 267)(23, 224)(24, 226)(25, 273)(26, 276)(27, 278)(28, 275)(29, 281)(30, 274)(31, 284)(32, 287)(33, 288)(34, 285)(35, 230)(36, 277)(37, 296)(38, 299)(39, 300)(40, 297)(41, 304)(42, 307)(43, 309)(44, 306)(45, 312)(46, 305)(47, 315)(48, 318)(49, 319)(50, 316)(51, 238)(52, 308)(53, 327)(54, 330)(55, 331)(56, 328)(57, 241)(58, 246)(59, 244)(60, 242)(61, 252)(62, 243)(63, 334)(64, 332)(65, 245)(66, 322)(67, 320)(68, 247)(69, 250)(70, 324)(71, 248)(72, 249)(73, 314)(74, 325)(75, 313)(76, 329)(77, 317)(78, 321)(79, 333)(80, 253)(81, 256)(82, 323)(83, 254)(84, 255)(85, 311)(86, 326)(87, 310)(88, 257)(89, 262)(90, 260)(91, 258)(92, 268)(93, 259)(94, 303)(95, 301)(96, 261)(97, 291)(98, 289)(99, 263)(100, 266)(101, 293)(102, 264)(103, 265)(104, 283)(105, 294)(106, 282)(107, 298)(108, 286)(109, 290)(110, 302)(111, 269)(112, 272)(113, 292)(114, 270)(115, 271)(116, 280)(117, 295)(118, 279)(119, 348)(120, 361)(121, 363)(122, 364)(123, 362)(124, 367)(125, 369)(126, 370)(127, 368)(128, 372)(129, 371)(130, 366)(131, 365)(132, 335)(133, 373)(134, 375)(135, 376)(136, 374)(137, 379)(138, 381)(139, 382)(140, 380)(141, 384)(142, 383)(143, 378)(144, 377)(145, 336)(146, 339)(147, 337)(148, 338)(149, 347)(150, 346)(151, 340)(152, 343)(153, 341)(154, 342)(155, 345)(156, 344)(157, 349)(158, 352)(159, 350)(160, 351)(161, 360)(162, 359)(163, 353)(164, 356)(165, 354)(166, 355)(167, 358)(168, 357)(169, 409)(170, 411)(171, 412)(172, 410)(173, 415)(174, 417)(175, 418)(176, 416)(177, 420)(178, 419)(179, 414)(180, 413)(181, 421)(182, 423)(183, 424)(184, 422)(185, 427)(186, 429)(187, 430)(188, 428)(189, 432)(190, 431)(191, 426)(192, 425)(193, 385)(194, 388)(195, 386)(196, 387)(197, 396)(198, 395)(199, 389)(200, 392)(201, 390)(202, 391)(203, 394)(204, 393)(205, 397)(206, 400)(207, 398)(208, 399)(209, 408)(210, 407)(211, 401)(212, 404)(213, 402)(214, 403)(215, 406)(216, 405)(433, 651)(434, 654)(435, 649)(436, 661)(437, 664)(438, 650)(439, 669)(440, 672)(441, 673)(442, 676)(443, 678)(444, 675)(445, 652)(446, 684)(447, 674)(448, 653)(449, 689)(450, 692)(451, 694)(452, 691)(453, 655)(454, 700)(455, 690)(456, 656)(457, 657)(458, 663)(459, 660)(460, 658)(461, 699)(462, 659)(463, 717)(464, 720)(465, 721)(466, 723)(467, 693)(468, 662)(469, 729)(470, 732)(471, 733)(472, 735)(473, 665)(474, 671)(475, 668)(476, 666)(477, 683)(478, 667)(479, 748)(480, 751)(481, 752)(482, 754)(483, 677)(484, 670)(485, 760)(486, 763)(487, 764)(488, 766)(489, 767)(490, 761)(491, 749)(492, 757)(493, 740)(494, 758)(495, 747)(496, 750)(497, 744)(498, 759)(499, 762)(500, 742)(501, 679)(502, 738)(503, 743)(504, 680)(505, 681)(506, 756)(507, 682)(508, 765)(509, 753)(510, 739)(511, 741)(512, 745)(513, 685)(514, 737)(515, 746)(516, 686)(517, 687)(518, 755)(519, 688)(520, 780)(521, 730)(522, 718)(523, 726)(524, 709)(525, 727)(526, 716)(527, 719)(528, 713)(529, 728)(530, 731)(531, 711)(532, 695)(533, 707)(534, 712)(535, 696)(536, 697)(537, 725)(538, 698)(539, 734)(540, 722)(541, 708)(542, 710)(543, 714)(544, 701)(545, 706)(546, 715)(547, 702)(548, 703)(549, 724)(550, 704)(551, 705)(552, 794)(553, 796)(554, 797)(555, 798)(556, 800)(557, 802)(558, 803)(559, 804)(560, 793)(561, 795)(562, 799)(563, 801)(564, 736)(565, 806)(566, 808)(567, 809)(568, 810)(569, 812)(570, 814)(571, 815)(572, 816)(573, 805)(574, 807)(575, 811)(576, 813)(577, 776)(578, 768)(579, 777)(580, 769)(581, 770)(582, 771)(583, 778)(584, 772)(585, 779)(586, 773)(587, 774)(588, 775)(589, 789)(590, 781)(591, 790)(592, 782)(593, 783)(594, 784)(595, 791)(596, 785)(597, 792)(598, 786)(599, 787)(600, 788)(601, 842)(602, 844)(603, 845)(604, 846)(605, 848)(606, 850)(607, 851)(608, 852)(609, 841)(610, 843)(611, 847)(612, 849)(613, 854)(614, 856)(615, 857)(616, 858)(617, 860)(618, 862)(619, 863)(620, 864)(621, 853)(622, 855)(623, 859)(624, 861)(625, 825)(626, 817)(627, 826)(628, 818)(629, 819)(630, 820)(631, 827)(632, 821)(633, 828)(634, 822)(635, 823)(636, 824)(637, 837)(638, 829)(639, 838)(640, 830)(641, 831)(642, 832)(643, 839)(644, 833)(645, 840)(646, 834)(647, 835)(648, 836)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.2977
Transitivity :: VT+
Graph::
	v = 54 e = 432 f = 324
	degree seq :: [ 16^54 ]

E28.2981 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C3 x ((C2 x C2) : C9)) : C2 (small group id <216, 94>)
Aut   = $<432, 522>$ (small group id <432, 522>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y1)^2, Y3^6, R * Y2 * Y1 * Y3^2 * R * Y1 * Y2, (Y3 * Y1)^4, Y3^-1 * Y2 * Y3 * R * Y3^-2 * Y2 * R, Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y3^-1, (Y2 * Y1)^9 ]
Map:: polytopal non-degenerate
	R = (1, 217, 2, 218)(3, 219, 9, 225)(4, 220, 12, 228)(5, 221, 14, 230)(6, 222, 16, 232)(7, 223, 19, 235)(8, 224, 21, 237)(10, 226, 26, 242)(11, 227, 28, 244)(13, 229, 22, 238)(15, 231, 20, 236)(17, 233, 39, 255)(18, 234, 41, 257)(23, 239, 49, 265)(24, 240, 52, 268)(25, 241, 54, 270)(27, 243, 55, 271)(29, 245, 53, 269)(30, 246, 62, 278)(31, 247, 44, 260)(32, 248, 48, 264)(33, 249, 65, 281)(34, 250, 66, 282)(35, 251, 45, 261)(36, 252, 68, 284)(37, 253, 63, 279)(38, 254, 67, 283)(40, 256, 72, 288)(42, 258, 71, 287)(43, 259, 61, 277)(46, 262, 78, 294)(47, 263, 58, 274)(50, 266, 82, 298)(51, 267, 84, 300)(56, 272, 88, 304)(57, 273, 86, 302)(59, 275, 91, 307)(60, 276, 92, 308)(64, 280, 97, 313)(69, 285, 102, 318)(70, 286, 104, 320)(73, 289, 106, 322)(74, 290, 96, 312)(75, 291, 95, 311)(76, 292, 108, 324)(77, 293, 87, 303)(79, 295, 109, 325)(80, 296, 89, 305)(81, 297, 93, 309)(83, 299, 113, 329)(85, 301, 112, 328)(90, 306, 121, 337)(94, 310, 101, 317)(98, 314, 100, 316)(99, 315, 125, 341)(103, 319, 129, 345)(105, 321, 128, 344)(107, 323, 135, 351)(110, 326, 140, 356)(111, 327, 142, 358)(114, 330, 144, 360)(115, 331, 120, 336)(116, 332, 119, 335)(117, 333, 146, 362)(118, 334, 139, 355)(122, 338, 138, 354)(123, 339, 131, 347)(124, 340, 134, 350)(126, 342, 152, 368)(127, 343, 154, 370)(130, 346, 156, 372)(132, 348, 158, 374)(133, 349, 151, 367)(136, 352, 150, 366)(137, 353, 161, 377)(141, 357, 165, 381)(143, 359, 164, 380)(145, 361, 171, 387)(147, 363, 167, 383)(148, 364, 170, 386)(149, 365, 173, 389)(153, 369, 177, 393)(155, 371, 176, 392)(157, 373, 183, 399)(159, 375, 179, 395)(160, 376, 182, 398)(162, 378, 187, 403)(163, 379, 189, 405)(166, 382, 191, 407)(168, 384, 193, 409)(169, 385, 186, 402)(172, 388, 185, 401)(174, 390, 198, 414)(175, 391, 200, 416)(178, 394, 202, 418)(180, 396, 204, 420)(181, 397, 197, 413)(184, 400, 196, 412)(188, 404, 208, 424)(190, 406, 207, 423)(192, 408, 211, 427)(194, 410, 209, 425)(195, 411, 210, 426)(199, 415, 213, 429)(201, 417, 212, 428)(203, 419, 216, 432)(205, 421, 214, 430)(206, 422, 215, 431)(433, 649, 435, 651)(434, 650, 438, 654)(436, 652, 443, 659)(437, 653, 442, 658)(439, 655, 450, 666)(440, 656, 449, 665)(441, 657, 455, 671)(444, 660, 462, 678)(445, 661, 461, 677)(446, 662, 466, 682)(447, 663, 459, 675)(448, 664, 468, 684)(451, 667, 475, 691)(452, 668, 474, 690)(453, 669, 479, 695)(454, 670, 472, 688)(456, 672, 483, 699)(457, 673, 482, 698)(458, 674, 488, 704)(460, 676, 492, 708)(463, 679, 496, 712)(464, 680, 495, 711)(465, 681, 491, 707)(467, 683, 499, 715)(469, 685, 502, 718)(470, 686, 501, 717)(471, 687, 505, 721)(473, 689, 508, 724)(476, 692, 509, 725)(477, 693, 484, 700)(478, 694, 507, 723)(480, 696, 486, 702)(481, 697, 511, 727)(485, 701, 517, 733)(487, 703, 515, 731)(489, 705, 522, 738)(490, 706, 521, 737)(493, 709, 525, 741)(494, 710, 526, 742)(497, 713, 528, 744)(498, 714, 530, 746)(500, 716, 531, 747)(503, 719, 537, 753)(504, 720, 535, 751)(506, 722, 539, 755)(510, 726, 518, 734)(512, 728, 543, 759)(513, 729, 542, 758)(514, 730, 546, 762)(516, 732, 549, 765)(519, 735, 548, 764)(520, 736, 550, 766)(523, 739, 552, 768)(524, 740, 554, 770)(527, 743, 555, 771)(529, 745, 556, 772)(532, 748, 559, 775)(533, 749, 558, 774)(534, 750, 562, 778)(536, 752, 564, 780)(538, 754, 565, 781)(540, 756, 568, 784)(541, 757, 569, 785)(544, 760, 575, 791)(545, 761, 573, 789)(547, 763, 577, 793)(551, 767, 579, 795)(553, 769, 580, 796)(557, 773, 581, 797)(560, 776, 587, 803)(561, 777, 585, 801)(563, 779, 589, 805)(566, 782, 591, 807)(567, 783, 592, 808)(570, 786, 595, 811)(571, 787, 594, 810)(572, 788, 598, 814)(574, 790, 600, 816)(576, 792, 601, 817)(578, 794, 604, 820)(582, 798, 607, 823)(583, 799, 606, 822)(584, 800, 610, 826)(586, 802, 612, 828)(588, 804, 613, 829)(590, 806, 616, 832)(593, 809, 605, 821)(596, 812, 622, 838)(597, 813, 620, 836)(599, 815, 624, 840)(602, 818, 626, 842)(603, 819, 627, 843)(608, 824, 633, 849)(609, 825, 631, 847)(611, 827, 635, 851)(614, 830, 637, 853)(615, 831, 638, 854)(617, 833, 629, 845)(618, 834, 628, 844)(619, 835, 636, 852)(621, 837, 634, 850)(623, 839, 632, 848)(625, 841, 630, 846)(639, 855, 645, 861)(640, 856, 644, 860)(641, 857, 647, 863)(642, 858, 646, 862)(643, 859, 648, 864)
	L = (1, 436)(2, 439)(3, 442)(4, 445)(5, 433)(6, 449)(7, 452)(8, 434)(9, 456)(10, 459)(11, 435)(12, 463)(13, 465)(14, 467)(15, 437)(16, 469)(17, 472)(18, 438)(19, 476)(20, 478)(21, 480)(22, 440)(23, 482)(24, 485)(25, 441)(26, 489)(27, 491)(28, 493)(29, 443)(30, 495)(31, 446)(32, 444)(33, 447)(34, 496)(35, 497)(36, 501)(37, 503)(38, 448)(39, 506)(40, 507)(41, 494)(42, 450)(43, 484)(44, 453)(45, 451)(46, 454)(47, 509)(48, 510)(49, 512)(50, 515)(51, 455)(52, 518)(53, 519)(54, 479)(55, 457)(56, 521)(57, 460)(58, 458)(59, 461)(60, 522)(61, 523)(62, 527)(63, 528)(64, 462)(65, 464)(66, 471)(67, 466)(68, 532)(69, 535)(70, 468)(71, 529)(72, 470)(73, 530)(74, 473)(75, 474)(76, 539)(77, 475)(78, 477)(79, 542)(80, 544)(81, 481)(82, 547)(83, 548)(84, 520)(85, 483)(86, 486)(87, 487)(88, 551)(89, 552)(90, 488)(91, 490)(92, 514)(93, 492)(94, 508)(95, 498)(96, 499)(97, 504)(98, 555)(99, 558)(100, 560)(101, 500)(102, 563)(103, 556)(104, 538)(105, 502)(106, 566)(107, 505)(108, 534)(109, 570)(110, 573)(111, 511)(112, 553)(113, 513)(114, 554)(115, 516)(116, 517)(117, 577)(118, 549)(119, 524)(120, 525)(121, 545)(122, 579)(123, 526)(124, 537)(125, 582)(126, 585)(127, 531)(128, 567)(129, 533)(130, 568)(131, 536)(132, 589)(133, 564)(134, 540)(135, 561)(136, 591)(137, 594)(138, 596)(139, 541)(140, 599)(141, 580)(142, 576)(143, 543)(144, 602)(145, 546)(146, 572)(147, 550)(148, 575)(149, 606)(150, 608)(151, 557)(152, 611)(153, 592)(154, 588)(155, 559)(156, 614)(157, 562)(158, 584)(159, 565)(160, 587)(161, 617)(162, 620)(163, 569)(164, 603)(165, 571)(166, 604)(167, 574)(168, 624)(169, 600)(170, 578)(171, 597)(172, 626)(173, 628)(174, 631)(175, 581)(176, 615)(177, 583)(178, 616)(179, 586)(180, 635)(181, 612)(182, 590)(183, 609)(184, 637)(185, 639)(186, 593)(187, 641)(188, 627)(189, 623)(190, 595)(191, 642)(192, 598)(193, 619)(194, 601)(195, 622)(196, 644)(197, 605)(198, 646)(199, 638)(200, 634)(201, 607)(202, 647)(203, 610)(204, 630)(205, 613)(206, 633)(207, 643)(208, 618)(209, 621)(210, 625)(211, 640)(212, 648)(213, 629)(214, 632)(215, 636)(216, 645)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.2982
Graph:: simple bipartite
	v = 216 e = 432 f = 162
	degree seq :: [ 4^216 ]

E28.2982 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C3 x ((C2 x C2) : C9)) : C2 (small group id <216, 94>)
Aut   = $<432, 522>$ (small group id <432, 522>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1^4, (Y1^-1 * Y3^-1)^2, (Y3 * Y2)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^6, Y3^-1 * Y2 * Y3^2 * Y1^2 * Y2 * Y1^-2, Y1 * Y2 * Y1^-2 * Y2 * Y1^-1 * Y3^-3, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 217, 2, 218, 7, 223, 5, 221)(3, 219, 11, 227, 29, 245, 13, 229)(4, 220, 15, 231, 21, 237, 10, 226)(6, 222, 18, 234, 22, 238, 9, 225)(8, 224, 23, 239, 51, 267, 25, 241)(12, 228, 33, 249, 62, 278, 32, 248)(14, 230, 36, 252, 63, 279, 31, 247)(16, 232, 28, 244, 49, 265, 39, 255)(17, 233, 41, 257, 81, 297, 42, 258)(19, 235, 27, 243, 50, 266, 44, 260)(20, 236, 45, 261, 72, 288, 47, 263)(24, 240, 55, 271, 86, 302, 54, 270)(26, 242, 58, 274, 78, 294, 53, 269)(30, 246, 64, 280, 88, 304, 66, 282)(34, 250, 69, 285, 48, 264, 71, 287)(35, 251, 73, 289, 87, 303, 74, 290)(37, 253, 68, 284, 46, 262, 76, 292)(38, 254, 77, 293, 59, 275, 79, 295)(40, 256, 80, 296, 61, 277, 60, 276)(43, 259, 85, 301, 56, 272, 83, 299)(52, 268, 89, 305, 84, 300, 91, 307)(57, 273, 94, 310, 82, 298, 95, 311)(65, 281, 100, 316, 112, 328, 99, 315)(67, 283, 103, 319, 106, 322, 98, 314)(70, 286, 105, 321, 104, 320, 107, 323)(75, 291, 111, 327, 101, 317, 109, 325)(90, 306, 120, 336, 113, 329, 119, 335)(92, 308, 122, 338, 116, 332, 118, 334)(93, 309, 123, 339, 114, 330, 124, 340)(96, 312, 128, 344, 115, 331, 126, 342)(97, 313, 129, 345, 110, 326, 131, 347)(102, 318, 134, 350, 108, 324, 135, 351)(117, 333, 141, 357, 127, 343, 143, 359)(121, 337, 146, 362, 125, 341, 147, 363)(130, 346, 156, 372, 137, 353, 155, 371)(132, 348, 158, 374, 140, 356, 154, 370)(133, 349, 159, 375, 138, 354, 160, 376)(136, 352, 164, 380, 139, 355, 162, 378)(142, 358, 168, 384, 149, 365, 167, 383)(144, 360, 170, 386, 152, 368, 166, 382)(145, 361, 171, 387, 150, 366, 172, 388)(148, 364, 176, 392, 151, 367, 174, 390)(153, 369, 177, 393, 163, 379, 179, 395)(157, 373, 182, 398, 161, 377, 183, 399)(165, 381, 189, 405, 175, 391, 191, 407)(169, 385, 194, 410, 173, 389, 195, 411)(178, 394, 203, 419, 185, 401, 202, 418)(180, 396, 204, 420, 188, 404, 201, 417)(181, 397, 205, 421, 186, 402, 206, 422)(184, 400, 208, 424, 187, 403, 207, 423)(190, 406, 211, 427, 197, 413, 210, 426)(192, 408, 212, 428, 200, 416, 209, 425)(193, 409, 213, 429, 198, 414, 214, 430)(196, 412, 216, 432, 199, 415, 215, 431)(433, 649, 435, 651)(434, 650, 440, 656)(436, 652, 446, 662)(437, 653, 449, 665)(438, 654, 444, 660)(439, 655, 452, 668)(441, 657, 458, 674)(442, 658, 456, 672)(443, 659, 462, 678)(445, 661, 467, 683)(447, 663, 470, 686)(448, 664, 469, 685)(450, 666, 475, 691)(451, 667, 466, 682)(453, 669, 480, 696)(454, 670, 478, 694)(455, 671, 484, 700)(457, 673, 489, 705)(459, 675, 491, 707)(460, 676, 488, 704)(461, 677, 493, 709)(463, 679, 499, 715)(464, 680, 497, 713)(465, 681, 502, 718)(468, 684, 507, 723)(471, 687, 510, 726)(472, 688, 504, 720)(473, 689, 514, 730)(474, 690, 516, 732)(476, 692, 518, 734)(477, 693, 519, 735)(479, 695, 520, 736)(481, 697, 494, 710)(482, 698, 495, 711)(483, 699, 512, 728)(485, 701, 524, 740)(486, 702, 522, 738)(487, 703, 525, 741)(490, 706, 528, 744)(492, 708, 513, 729)(496, 712, 529, 745)(498, 714, 534, 750)(500, 716, 536, 752)(501, 717, 533, 749)(503, 719, 538, 754)(505, 721, 540, 756)(506, 722, 542, 758)(508, 724, 544, 760)(509, 725, 545, 761)(511, 727, 546, 762)(515, 731, 547, 763)(517, 733, 548, 764)(521, 737, 549, 765)(523, 739, 553, 769)(526, 742, 557, 773)(527, 743, 559, 775)(530, 746, 564, 780)(531, 747, 562, 778)(532, 748, 565, 781)(535, 751, 568, 784)(537, 753, 569, 785)(539, 755, 570, 786)(541, 757, 571, 787)(543, 759, 572, 788)(550, 766, 576, 792)(551, 767, 574, 790)(552, 768, 577, 793)(554, 770, 580, 796)(555, 771, 581, 797)(556, 772, 582, 798)(558, 774, 583, 799)(560, 776, 584, 800)(561, 777, 585, 801)(563, 779, 589, 805)(566, 782, 593, 809)(567, 783, 595, 811)(573, 789, 597, 813)(575, 791, 601, 817)(578, 794, 605, 821)(579, 795, 607, 823)(586, 802, 612, 828)(587, 803, 610, 826)(588, 804, 613, 829)(590, 806, 616, 832)(591, 807, 617, 833)(592, 808, 618, 834)(594, 810, 619, 835)(596, 812, 620, 836)(598, 814, 624, 840)(599, 815, 622, 838)(600, 816, 625, 841)(602, 818, 628, 844)(603, 819, 629, 845)(604, 820, 630, 846)(606, 822, 631, 847)(608, 824, 632, 848)(609, 825, 627, 843)(611, 827, 621, 837)(614, 830, 623, 839)(615, 831, 626, 842)(633, 849, 645, 861)(634, 850, 648, 864)(635, 851, 641, 857)(636, 852, 642, 858)(637, 853, 647, 863)(638, 854, 644, 860)(639, 855, 643, 859)(640, 856, 646, 862)
	L = (1, 436)(2, 441)(3, 444)(4, 448)(5, 450)(6, 433)(7, 453)(8, 456)(9, 459)(10, 434)(11, 463)(12, 466)(13, 468)(14, 435)(15, 437)(16, 472)(17, 470)(18, 476)(19, 438)(20, 478)(21, 481)(22, 439)(23, 485)(24, 488)(25, 490)(26, 440)(27, 492)(28, 442)(29, 494)(30, 497)(31, 500)(32, 443)(33, 445)(34, 504)(35, 502)(36, 508)(37, 446)(38, 510)(39, 447)(40, 451)(41, 515)(42, 517)(43, 449)(44, 512)(45, 501)(46, 495)(47, 503)(48, 452)(49, 493)(50, 454)(51, 518)(52, 522)(53, 511)(54, 455)(55, 457)(56, 513)(57, 525)(58, 509)(59, 458)(60, 460)(61, 482)(62, 480)(63, 461)(64, 530)(65, 533)(66, 535)(67, 462)(68, 477)(69, 464)(70, 538)(71, 465)(72, 469)(73, 541)(74, 543)(75, 467)(76, 479)(77, 474)(78, 483)(79, 473)(80, 471)(81, 491)(82, 546)(83, 486)(84, 545)(85, 487)(86, 475)(87, 536)(88, 544)(89, 550)(90, 547)(91, 554)(92, 484)(93, 548)(94, 558)(95, 560)(96, 489)(97, 562)(98, 539)(99, 496)(100, 498)(101, 519)(102, 565)(103, 537)(104, 499)(105, 506)(106, 520)(107, 505)(108, 570)(109, 531)(110, 569)(111, 532)(112, 507)(113, 528)(114, 524)(115, 514)(116, 516)(117, 574)(118, 556)(119, 521)(120, 523)(121, 577)(122, 555)(123, 527)(124, 526)(125, 582)(126, 551)(127, 581)(128, 552)(129, 586)(130, 571)(131, 590)(132, 529)(133, 572)(134, 594)(135, 596)(136, 534)(137, 568)(138, 564)(139, 540)(140, 542)(141, 598)(142, 583)(143, 602)(144, 549)(145, 584)(146, 606)(147, 608)(148, 553)(149, 580)(150, 576)(151, 557)(152, 559)(153, 610)(154, 592)(155, 561)(156, 563)(157, 613)(158, 591)(159, 567)(160, 566)(161, 618)(162, 587)(163, 617)(164, 588)(165, 622)(166, 604)(167, 573)(168, 575)(169, 625)(170, 603)(171, 579)(172, 578)(173, 630)(174, 599)(175, 629)(176, 600)(177, 633)(178, 619)(179, 636)(180, 585)(181, 620)(182, 639)(183, 640)(184, 589)(185, 616)(186, 612)(187, 593)(188, 595)(189, 641)(190, 631)(191, 644)(192, 597)(193, 632)(194, 647)(195, 648)(196, 601)(197, 628)(198, 624)(199, 605)(200, 607)(201, 638)(202, 609)(203, 611)(204, 637)(205, 615)(206, 614)(207, 634)(208, 635)(209, 646)(210, 621)(211, 623)(212, 645)(213, 627)(214, 626)(215, 642)(216, 643)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E28.2981
Graph:: simple bipartite
	v = 162 e = 432 f = 216
	degree seq :: [ 4^108, 8^54 ]

E28.2983 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 6})
Quotient :: edge
Aut^+ = ((C6 x C6) : C3) : C2 (small group id <216, 92>)
Aut   = $<432, 523>$ (small group id <432, 523>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^4, (F * T2)^2, (F * T1)^2, T1^-1 * T2^2 * T1^-1 * T2^-2 * T1^-1 * T2^2, (T2 * T1 * T2)^3, T2^-2 * T1 * T2^2 * T1 * T2^-2 * T1, (T2^-2 * T1 * T2^-1 * T1^-1)^2, T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-2 * T1 * T2 * T1 * T2^-1, T1^-1 * T2 * T1^-1 * T2^2 * T1 * T2^-1 * T1 * T2^-2, (T2 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1)^2, T2 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2 * T1 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 5)(2, 6, 16, 7)(4, 11, 27, 12)(8, 20, 46, 21)(10, 24, 55, 25)(13, 31, 70, 32)(14, 33, 75, 34)(15, 35, 80, 36)(17, 39, 87, 40)(18, 41, 92, 42)(19, 43, 97, 44)(22, 50, 62, 51)(23, 52, 37, 53)(26, 59, 111, 60)(28, 63, 110, 64)(29, 65, 109, 66)(30, 67, 112, 68)(38, 84, 61, 85)(45, 101, 69, 102)(47, 103, 73, 104)(48, 105, 72, 106)(49, 107, 71, 108)(54, 113, 77, 114)(56, 115, 76, 116)(57, 117, 74, 118)(58, 119, 78, 120)(79, 137, 91, 138)(81, 139, 95, 140)(82, 141, 94, 142)(83, 143, 93, 144)(86, 145, 99, 146)(88, 147, 98, 148)(89, 149, 96, 150)(90, 151, 100, 152)(121, 177, 129, 178)(122, 166, 132, 174)(123, 179, 131, 180)(124, 172, 130, 168)(125, 181, 135, 182)(126, 155, 134, 161)(127, 183, 133, 184)(128, 153, 136, 159)(154, 193, 162, 194)(156, 195, 160, 196)(157, 197, 163, 198)(158, 199, 164, 200)(165, 201, 171, 202)(167, 203, 173, 204)(169, 205, 176, 206)(170, 207, 175, 208)(185, 209, 187, 210)(186, 211, 188, 212)(189, 213, 192, 214)(190, 215, 191, 216)(217, 218, 220)(219, 224, 226)(221, 229, 230)(222, 231, 233)(223, 234, 235)(225, 238, 239)(227, 242, 244)(228, 245, 246)(232, 253, 254)(236, 261, 263)(237, 264, 265)(240, 270, 272)(241, 273, 274)(243, 277, 278)(247, 285, 287)(248, 288, 289)(249, 290, 292)(250, 293, 294)(251, 295, 297)(252, 298, 299)(255, 302, 304)(256, 305, 306)(257, 307, 309)(258, 310, 311)(259, 312, 314)(260, 315, 316)(262, 291, 301)(266, 296, 313)(267, 308, 303)(268, 325, 326)(269, 327, 328)(271, 300, 286)(275, 337, 338)(276, 339, 340)(279, 341, 342)(280, 343, 344)(281, 345, 346)(282, 347, 348)(283, 349, 350)(284, 351, 352)(317, 369, 370)(318, 371, 372)(319, 361, 373)(320, 366, 374)(321, 375, 376)(322, 377, 378)(323, 365, 379)(324, 362, 380)(329, 381, 382)(330, 383, 384)(331, 385, 354)(332, 386, 358)(333, 387, 388)(334, 389, 390)(335, 391, 353)(336, 392, 357)(355, 397, 401)(356, 400, 402)(359, 399, 403)(360, 398, 404)(363, 405, 394)(364, 406, 396)(367, 407, 393)(368, 408, 395)(409, 421, 431)(410, 424, 429)(411, 423, 432)(412, 422, 430)(413, 427, 418)(414, 425, 420)(415, 426, 417)(416, 428, 419)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 12^3 ), ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E28.2987
Transitivity :: ET+
Graph:: simple bipartite
	v = 126 e = 216 f = 36
	degree seq :: [ 3^72, 4^54 ]

E28.2984 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 6})
Quotient :: edge
Aut^+ = ((C6 x C6) : C3) : C2 (small group id <216, 92>)
Aut   = $<432, 523>$ (small group id <432, 523>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^3, T2^6, (T2^-1 * T1)^3, T1^-1 * T2^-2 * T1^2 * T2^2 * T1^-1, T1 * T2 * T1^-1 * T2 * T1^2 * T2^-1 * T1^-1 * T2^-1 * T1, (T2 * T1 * T2^2 * T1^-1)^2, T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-2 * T1 * T2^-2, (T2^-1, T1^-1)^3 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 10, 29, 16, 5)(2, 7, 20, 51, 24, 8)(4, 12, 33, 75, 36, 13)(6, 17, 43, 89, 47, 18)(9, 26, 61, 119, 65, 27)(11, 22, 55, 108, 72, 31)(14, 38, 80, 139, 76, 34)(15, 39, 83, 98, 49, 19)(21, 45, 92, 160, 105, 53)(23, 56, 111, 155, 88, 42)(25, 59, 116, 78, 37, 60)(28, 66, 125, 168, 128, 67)(30, 63, 121, 196, 133, 70)(32, 46, 93, 161, 136, 74)(35, 77, 140, 158, 90, 44)(40, 85, 149, 183, 148, 84)(41, 86, 152, 193, 143, 79)(48, 94, 163, 106, 54, 95)(50, 99, 169, 204, 172, 100)(52, 96, 165, 124, 177, 103)(57, 113, 187, 206, 186, 112)(58, 114, 190, 145, 181, 107)(62, 118, 73, 135, 195, 120)(64, 122, 197, 213, 191, 115)(68, 129, 189, 138, 176, 130)(69, 126, 174, 101, 173, 131)(71, 134, 167, 209, 192, 117)(81, 141, 199, 214, 194, 146)(82, 142, 200, 212, 182, 147)(87, 153, 202, 159, 91, 154)(97, 166, 123, 198, 207, 162)(102, 170, 150, 156, 127, 175)(104, 178, 203, 215, 208, 164)(109, 179, 210, 201, 144, 184)(110, 180, 211, 216, 205, 185)(132, 188, 137, 171, 151, 157)(217, 218, 222, 220)(219, 225, 241, 227)(221, 230, 253, 231)(223, 235, 264, 237)(224, 238, 270, 239)(226, 244, 259, 246)(228, 248, 289, 250)(229, 251, 278, 242)(232, 256, 263, 257)(233, 258, 303, 260)(234, 261, 307, 262)(236, 266, 249, 268)(240, 273, 252, 274)(243, 279, 306, 280)(245, 284, 332, 285)(247, 287, 304, 282)(254, 295, 309, 297)(255, 298, 308, 300)(265, 312, 292, 313)(267, 317, 379, 318)(269, 320, 290, 315)(271, 323, 277, 325)(272, 326, 293, 328)(275, 331, 369, 333)(276, 334, 370, 311)(281, 339, 288, 340)(283, 342, 408, 343)(286, 348, 407, 345)(291, 353, 411, 354)(294, 357, 375, 358)(296, 360, 299, 361)(301, 347, 416, 366)(302, 367, 415, 346)(305, 372, 418, 373)(310, 378, 351, 380)(314, 383, 321, 384)(316, 386, 424, 387)(319, 392, 423, 389)(322, 395, 336, 396)(324, 398, 327, 399)(329, 391, 427, 404)(330, 405, 426, 390)(335, 409, 356, 410)(337, 381, 341, 385)(338, 394, 350, 382)(344, 403, 349, 406)(352, 413, 355, 412)(359, 397, 364, 402)(362, 401, 363, 400)(365, 388, 368, 393)(371, 419, 374, 420)(376, 421, 377, 422)(414, 430, 431, 428)(417, 429, 432, 425)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 6^4 ), ( 6^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2988
Transitivity :: ET+
Graph:: simple bipartite
	v = 90 e = 216 f = 72
	degree seq :: [ 4^54, 6^36 ]

E28.2985 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 6})
Quotient :: edge
Aut^+ = ((C6 x C6) : C3) : C2 (small group id <216, 92>)
Aut   = $<432, 523>$ (small group id <432, 523>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, T1^6, (T2^-1 * T1^-1)^4, (T2 * T1^-2)^3, (T1^-2 * T2^-1)^3, (T2 * T1^-2)^3, (T2^-1 * T1^-2)^3, (T2 * T1^-1 * T2^-1 * T1^-2)^2, (T2 * T1^-2 * T2^-1 * T1^-1)^2, T1^2 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2, T1^2 * T2^-1 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 5)(2, 7, 8)(4, 11, 13)(6, 17, 18)(9, 24, 25)(10, 26, 28)(12, 31, 32)(14, 36, 37)(15, 38, 40)(16, 41, 42)(19, 48, 49)(20, 50, 52)(21, 54, 55)(22, 56, 58)(23, 60, 61)(27, 68, 69)(29, 73, 74)(30, 75, 77)(33, 83, 84)(34, 85, 62)(35, 88, 89)(39, 96, 97)(43, 103, 104)(44, 105, 107)(45, 108, 109)(46, 110, 112)(47, 86, 114)(51, 120, 121)(53, 125, 76)(57, 132, 133)(59, 135, 136)(63, 102, 139)(64, 141, 142)(65, 143, 145)(66, 146, 147)(67, 148, 150)(70, 153, 154)(71, 155, 90)(72, 157, 158)(78, 134, 164)(79, 149, 140)(80, 166, 167)(81, 168, 115)(82, 138, 169)(87, 173, 118)(91, 175, 177)(92, 178, 179)(93, 180, 113)(94, 182, 183)(95, 184, 185)(98, 187, 99)(100, 188, 189)(101, 190, 191)(106, 165, 193)(111, 197, 163)(116, 198, 170)(117, 199, 172)(119, 137, 181)(122, 201, 171)(123, 202, 126)(124, 203, 192)(127, 204, 205)(128, 152, 174)(129, 144, 186)(130, 206, 207)(131, 159, 208)(151, 176, 161)(156, 195, 200)(160, 214, 210)(162, 212, 213)(194, 211, 215)(196, 209, 216)(217, 218, 222, 232, 228, 220)(219, 225, 239, 275, 243, 226)(221, 230, 251, 303, 255, 231)(223, 235, 263, 329, 267, 236)(224, 237, 269, 340, 273, 238)(227, 245, 288, 372, 292, 246)(229, 249, 298, 362, 302, 250)(233, 259, 313, 402, 322, 260)(234, 261, 284, 367, 327, 262)(240, 278, 319, 274, 350, 279)(241, 280, 356, 427, 360, 281)(242, 282, 321, 408, 365, 283)(244, 286, 368, 398, 320, 287)(247, 294, 379, 390, 305, 295)(248, 296, 381, 353, 276, 297)(252, 306, 384, 361, 392, 307)(253, 308, 325, 411, 383, 309)(254, 310, 397, 410, 324, 311)(256, 314, 328, 289, 331, 264)(257, 315, 349, 395, 385, 316)(258, 317, 336, 364, 373, 318)(265, 332, 293, 378, 394, 333)(266, 334, 404, 377, 291, 335)(268, 338, 416, 422, 403, 339)(270, 342, 301, 388, 366, 343)(271, 344, 407, 351, 300, 345)(272, 346, 363, 429, 406, 347)(277, 341, 312, 337, 413, 354)(285, 348, 409, 374, 304, 330)(290, 375, 405, 420, 396, 376)(299, 386, 355, 426, 419, 387)(323, 391, 352, 425, 380, 400)(326, 412, 389, 370, 382, 358)(357, 414, 371, 418, 401, 424)(359, 417, 399, 421, 432, 428)(369, 415, 393, 423, 431, 430)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 8^3 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E28.2986
Transitivity :: ET+
Graph:: simple bipartite
	v = 108 e = 216 f = 54
	degree seq :: [ 3^72, 6^36 ]

E28.2986 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 6})
Quotient :: loop
Aut^+ = ((C6 x C6) : C3) : C2 (small group id <216, 92>)
Aut   = $<432, 523>$ (small group id <432, 523>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^4, (F * T2)^2, (F * T1)^2, T1^-1 * T2^2 * T1^-1 * T2^-2 * T1^-1 * T2^2, (T2 * T1 * T2)^3, T2^-2 * T1 * T2^2 * T1 * T2^-2 * T1, (T2^-2 * T1 * T2^-1 * T1^-1)^2, T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-2 * T1 * T2 * T1 * T2^-1, T1^-1 * T2 * T1^-1 * T2^2 * T1 * T2^-1 * T1 * T2^-2, (T2 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1)^2, T2 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2 * T1 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 217, 3, 219, 9, 225, 5, 221)(2, 218, 6, 222, 16, 232, 7, 223)(4, 220, 11, 227, 27, 243, 12, 228)(8, 224, 20, 236, 46, 262, 21, 237)(10, 226, 24, 240, 55, 271, 25, 241)(13, 229, 31, 247, 70, 286, 32, 248)(14, 230, 33, 249, 75, 291, 34, 250)(15, 231, 35, 251, 80, 296, 36, 252)(17, 233, 39, 255, 87, 303, 40, 256)(18, 234, 41, 257, 92, 308, 42, 258)(19, 235, 43, 259, 97, 313, 44, 260)(22, 238, 50, 266, 62, 278, 51, 267)(23, 239, 52, 268, 37, 253, 53, 269)(26, 242, 59, 275, 111, 327, 60, 276)(28, 244, 63, 279, 110, 326, 64, 280)(29, 245, 65, 281, 109, 325, 66, 282)(30, 246, 67, 283, 112, 328, 68, 284)(38, 254, 84, 300, 61, 277, 85, 301)(45, 261, 101, 317, 69, 285, 102, 318)(47, 263, 103, 319, 73, 289, 104, 320)(48, 264, 105, 321, 72, 288, 106, 322)(49, 265, 107, 323, 71, 287, 108, 324)(54, 270, 113, 329, 77, 293, 114, 330)(56, 272, 115, 331, 76, 292, 116, 332)(57, 273, 117, 333, 74, 290, 118, 334)(58, 274, 119, 335, 78, 294, 120, 336)(79, 295, 137, 353, 91, 307, 138, 354)(81, 297, 139, 355, 95, 311, 140, 356)(82, 298, 141, 357, 94, 310, 142, 358)(83, 299, 143, 359, 93, 309, 144, 360)(86, 302, 145, 361, 99, 315, 146, 362)(88, 304, 147, 363, 98, 314, 148, 364)(89, 305, 149, 365, 96, 312, 150, 366)(90, 306, 151, 367, 100, 316, 152, 368)(121, 337, 177, 393, 129, 345, 178, 394)(122, 338, 166, 382, 132, 348, 174, 390)(123, 339, 179, 395, 131, 347, 180, 396)(124, 340, 172, 388, 130, 346, 168, 384)(125, 341, 181, 397, 135, 351, 182, 398)(126, 342, 155, 371, 134, 350, 161, 377)(127, 343, 183, 399, 133, 349, 184, 400)(128, 344, 153, 369, 136, 352, 159, 375)(154, 370, 193, 409, 162, 378, 194, 410)(156, 372, 195, 411, 160, 376, 196, 412)(157, 373, 197, 413, 163, 379, 198, 414)(158, 374, 199, 415, 164, 380, 200, 416)(165, 381, 201, 417, 171, 387, 202, 418)(167, 383, 203, 419, 173, 389, 204, 420)(169, 385, 205, 421, 176, 392, 206, 422)(170, 386, 207, 423, 175, 391, 208, 424)(185, 401, 209, 425, 187, 403, 210, 426)(186, 402, 211, 427, 188, 404, 212, 428)(189, 405, 213, 429, 192, 408, 214, 430)(190, 406, 215, 431, 191, 407, 216, 432)
	L = (1, 218)(2, 220)(3, 224)(4, 217)(5, 229)(6, 231)(7, 234)(8, 226)(9, 238)(10, 219)(11, 242)(12, 245)(13, 230)(14, 221)(15, 233)(16, 253)(17, 222)(18, 235)(19, 223)(20, 261)(21, 264)(22, 239)(23, 225)(24, 270)(25, 273)(26, 244)(27, 277)(28, 227)(29, 246)(30, 228)(31, 285)(32, 288)(33, 290)(34, 293)(35, 295)(36, 298)(37, 254)(38, 232)(39, 302)(40, 305)(41, 307)(42, 310)(43, 312)(44, 315)(45, 263)(46, 291)(47, 236)(48, 265)(49, 237)(50, 296)(51, 308)(52, 325)(53, 327)(54, 272)(55, 300)(56, 240)(57, 274)(58, 241)(59, 337)(60, 339)(61, 278)(62, 243)(63, 341)(64, 343)(65, 345)(66, 347)(67, 349)(68, 351)(69, 287)(70, 271)(71, 247)(72, 289)(73, 248)(74, 292)(75, 301)(76, 249)(77, 294)(78, 250)(79, 297)(80, 313)(81, 251)(82, 299)(83, 252)(84, 286)(85, 262)(86, 304)(87, 267)(88, 255)(89, 306)(90, 256)(91, 309)(92, 303)(93, 257)(94, 311)(95, 258)(96, 314)(97, 266)(98, 259)(99, 316)(100, 260)(101, 369)(102, 371)(103, 361)(104, 366)(105, 375)(106, 377)(107, 365)(108, 362)(109, 326)(110, 268)(111, 328)(112, 269)(113, 381)(114, 383)(115, 385)(116, 386)(117, 387)(118, 389)(119, 391)(120, 392)(121, 338)(122, 275)(123, 340)(124, 276)(125, 342)(126, 279)(127, 344)(128, 280)(129, 346)(130, 281)(131, 348)(132, 282)(133, 350)(134, 283)(135, 352)(136, 284)(137, 335)(138, 331)(139, 397)(140, 400)(141, 336)(142, 332)(143, 399)(144, 398)(145, 373)(146, 380)(147, 405)(148, 406)(149, 379)(150, 374)(151, 407)(152, 408)(153, 370)(154, 317)(155, 372)(156, 318)(157, 319)(158, 320)(159, 376)(160, 321)(161, 378)(162, 322)(163, 323)(164, 324)(165, 382)(166, 329)(167, 384)(168, 330)(169, 354)(170, 358)(171, 388)(172, 333)(173, 390)(174, 334)(175, 353)(176, 357)(177, 367)(178, 363)(179, 368)(180, 364)(181, 401)(182, 404)(183, 403)(184, 402)(185, 355)(186, 356)(187, 359)(188, 360)(189, 394)(190, 396)(191, 393)(192, 395)(193, 421)(194, 424)(195, 423)(196, 422)(197, 427)(198, 425)(199, 426)(200, 428)(201, 415)(202, 413)(203, 416)(204, 414)(205, 431)(206, 430)(207, 432)(208, 429)(209, 420)(210, 417)(211, 418)(212, 419)(213, 410)(214, 412)(215, 409)(216, 411)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2985
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 54 e = 216 f = 108
	degree seq :: [ 8^54 ]

E28.2987 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 6})
Quotient :: loop
Aut^+ = ((C6 x C6) : C3) : C2 (small group id <216, 92>)
Aut   = $<432, 523>$ (small group id <432, 523>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^3, T2^6, (T2^-1 * T1)^3, T1^-1 * T2^-2 * T1^2 * T2^2 * T1^-1, T1 * T2 * T1^-1 * T2 * T1^2 * T2^-1 * T1^-1 * T2^-1 * T1, (T2 * T1 * T2^2 * T1^-1)^2, T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-2 * T1 * T2^-2, (T2^-1, T1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 217, 3, 219, 10, 226, 29, 245, 16, 232, 5, 221)(2, 218, 7, 223, 20, 236, 51, 267, 24, 240, 8, 224)(4, 220, 12, 228, 33, 249, 75, 291, 36, 252, 13, 229)(6, 222, 17, 233, 43, 259, 89, 305, 47, 263, 18, 234)(9, 225, 26, 242, 61, 277, 119, 335, 65, 281, 27, 243)(11, 227, 22, 238, 55, 271, 108, 324, 72, 288, 31, 247)(14, 230, 38, 254, 80, 296, 139, 355, 76, 292, 34, 250)(15, 231, 39, 255, 83, 299, 98, 314, 49, 265, 19, 235)(21, 237, 45, 261, 92, 308, 160, 376, 105, 321, 53, 269)(23, 239, 56, 272, 111, 327, 155, 371, 88, 304, 42, 258)(25, 241, 59, 275, 116, 332, 78, 294, 37, 253, 60, 276)(28, 244, 66, 282, 125, 341, 168, 384, 128, 344, 67, 283)(30, 246, 63, 279, 121, 337, 196, 412, 133, 349, 70, 286)(32, 248, 46, 262, 93, 309, 161, 377, 136, 352, 74, 290)(35, 251, 77, 293, 140, 356, 158, 374, 90, 306, 44, 260)(40, 256, 85, 301, 149, 365, 183, 399, 148, 364, 84, 300)(41, 257, 86, 302, 152, 368, 193, 409, 143, 359, 79, 295)(48, 264, 94, 310, 163, 379, 106, 322, 54, 270, 95, 311)(50, 266, 99, 315, 169, 385, 204, 420, 172, 388, 100, 316)(52, 268, 96, 312, 165, 381, 124, 340, 177, 393, 103, 319)(57, 273, 113, 329, 187, 403, 206, 422, 186, 402, 112, 328)(58, 274, 114, 330, 190, 406, 145, 361, 181, 397, 107, 323)(62, 278, 118, 334, 73, 289, 135, 351, 195, 411, 120, 336)(64, 280, 122, 338, 197, 413, 213, 429, 191, 407, 115, 331)(68, 284, 129, 345, 189, 405, 138, 354, 176, 392, 130, 346)(69, 285, 126, 342, 174, 390, 101, 317, 173, 389, 131, 347)(71, 287, 134, 350, 167, 383, 209, 425, 192, 408, 117, 333)(81, 297, 141, 357, 199, 415, 214, 430, 194, 410, 146, 362)(82, 298, 142, 358, 200, 416, 212, 428, 182, 398, 147, 363)(87, 303, 153, 369, 202, 418, 159, 375, 91, 307, 154, 370)(97, 313, 166, 382, 123, 339, 198, 414, 207, 423, 162, 378)(102, 318, 170, 386, 150, 366, 156, 372, 127, 343, 175, 391)(104, 320, 178, 394, 203, 419, 215, 431, 208, 424, 164, 380)(109, 325, 179, 395, 210, 426, 201, 417, 144, 360, 184, 400)(110, 326, 180, 396, 211, 427, 216, 432, 205, 421, 185, 401)(132, 348, 188, 404, 137, 353, 171, 387, 151, 367, 157, 373)
	L = (1, 218)(2, 222)(3, 225)(4, 217)(5, 230)(6, 220)(7, 235)(8, 238)(9, 241)(10, 244)(11, 219)(12, 248)(13, 251)(14, 253)(15, 221)(16, 256)(17, 258)(18, 261)(19, 264)(20, 266)(21, 223)(22, 270)(23, 224)(24, 273)(25, 227)(26, 229)(27, 279)(28, 259)(29, 284)(30, 226)(31, 287)(32, 289)(33, 268)(34, 228)(35, 278)(36, 274)(37, 231)(38, 295)(39, 298)(40, 263)(41, 232)(42, 303)(43, 246)(44, 233)(45, 307)(46, 234)(47, 257)(48, 237)(49, 312)(50, 249)(51, 317)(52, 236)(53, 320)(54, 239)(55, 323)(56, 326)(57, 252)(58, 240)(59, 331)(60, 334)(61, 325)(62, 242)(63, 306)(64, 243)(65, 339)(66, 247)(67, 342)(68, 332)(69, 245)(70, 348)(71, 304)(72, 340)(73, 250)(74, 315)(75, 353)(76, 313)(77, 328)(78, 357)(79, 309)(80, 360)(81, 254)(82, 308)(83, 361)(84, 255)(85, 347)(86, 367)(87, 260)(88, 282)(89, 372)(90, 280)(91, 262)(92, 300)(93, 297)(94, 378)(95, 276)(96, 292)(97, 265)(98, 383)(99, 269)(100, 386)(101, 379)(102, 267)(103, 392)(104, 290)(105, 384)(106, 395)(107, 277)(108, 398)(109, 271)(110, 293)(111, 399)(112, 272)(113, 391)(114, 405)(115, 369)(116, 285)(117, 275)(118, 370)(119, 409)(120, 396)(121, 381)(122, 394)(123, 288)(124, 281)(125, 385)(126, 408)(127, 283)(128, 403)(129, 286)(130, 302)(131, 416)(132, 407)(133, 406)(134, 382)(135, 380)(136, 413)(137, 411)(138, 291)(139, 412)(140, 410)(141, 375)(142, 294)(143, 397)(144, 299)(145, 296)(146, 401)(147, 400)(148, 402)(149, 388)(150, 301)(151, 415)(152, 393)(153, 333)(154, 311)(155, 419)(156, 418)(157, 305)(158, 420)(159, 358)(160, 421)(161, 422)(162, 351)(163, 318)(164, 310)(165, 341)(166, 338)(167, 321)(168, 314)(169, 337)(170, 424)(171, 316)(172, 368)(173, 319)(174, 330)(175, 427)(176, 423)(177, 365)(178, 350)(179, 336)(180, 322)(181, 364)(182, 327)(183, 324)(184, 362)(185, 363)(186, 359)(187, 349)(188, 329)(189, 426)(190, 344)(191, 345)(192, 343)(193, 356)(194, 335)(195, 354)(196, 352)(197, 355)(198, 430)(199, 346)(200, 366)(201, 429)(202, 373)(203, 374)(204, 371)(205, 377)(206, 376)(207, 389)(208, 387)(209, 417)(210, 390)(211, 404)(212, 414)(213, 432)(214, 431)(215, 428)(216, 425)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.2983
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 36 e = 216 f = 126
	degree seq :: [ 12^36 ]

E28.2988 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 6})
Quotient :: loop
Aut^+ = ((C6 x C6) : C3) : C2 (small group id <216, 92>)
Aut   = $<432, 523>$ (small group id <432, 523>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, T1^6, (T2^-1 * T1^-1)^4, (T2 * T1^-2)^3, (T1^-2 * T2^-1)^3, (T2 * T1^-2)^3, (T2^-1 * T1^-2)^3, (T2 * T1^-1 * T2^-1 * T1^-2)^2, (T2 * T1^-2 * T2^-1 * T1^-1)^2, T1^2 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2, T1^2 * T2^-1 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 217, 3, 219, 5, 221)(2, 218, 7, 223, 8, 224)(4, 220, 11, 227, 13, 229)(6, 222, 17, 233, 18, 234)(9, 225, 24, 240, 25, 241)(10, 226, 26, 242, 28, 244)(12, 228, 31, 247, 32, 248)(14, 230, 36, 252, 37, 253)(15, 231, 38, 254, 40, 256)(16, 232, 41, 257, 42, 258)(19, 235, 48, 264, 49, 265)(20, 236, 50, 266, 52, 268)(21, 237, 54, 270, 55, 271)(22, 238, 56, 272, 58, 274)(23, 239, 60, 276, 61, 277)(27, 243, 68, 284, 69, 285)(29, 245, 73, 289, 74, 290)(30, 246, 75, 291, 77, 293)(33, 249, 83, 299, 84, 300)(34, 250, 85, 301, 62, 278)(35, 251, 88, 304, 89, 305)(39, 255, 96, 312, 97, 313)(43, 259, 103, 319, 104, 320)(44, 260, 105, 321, 107, 323)(45, 261, 108, 324, 109, 325)(46, 262, 110, 326, 112, 328)(47, 263, 86, 302, 114, 330)(51, 267, 120, 336, 121, 337)(53, 269, 125, 341, 76, 292)(57, 273, 132, 348, 133, 349)(59, 275, 135, 351, 136, 352)(63, 279, 102, 318, 139, 355)(64, 280, 141, 357, 142, 358)(65, 281, 143, 359, 145, 361)(66, 282, 146, 362, 147, 363)(67, 283, 148, 364, 150, 366)(70, 286, 153, 369, 154, 370)(71, 287, 155, 371, 90, 306)(72, 288, 157, 373, 158, 374)(78, 294, 134, 350, 164, 380)(79, 295, 149, 365, 140, 356)(80, 296, 166, 382, 167, 383)(81, 297, 168, 384, 115, 331)(82, 298, 138, 354, 169, 385)(87, 303, 173, 389, 118, 334)(91, 307, 175, 391, 177, 393)(92, 308, 178, 394, 179, 395)(93, 309, 180, 396, 113, 329)(94, 310, 182, 398, 183, 399)(95, 311, 184, 400, 185, 401)(98, 314, 187, 403, 99, 315)(100, 316, 188, 404, 189, 405)(101, 317, 190, 406, 191, 407)(106, 322, 165, 381, 193, 409)(111, 327, 197, 413, 163, 379)(116, 332, 198, 414, 170, 386)(117, 333, 199, 415, 172, 388)(119, 335, 137, 353, 181, 397)(122, 338, 201, 417, 171, 387)(123, 339, 202, 418, 126, 342)(124, 340, 203, 419, 192, 408)(127, 343, 204, 420, 205, 421)(128, 344, 152, 368, 174, 390)(129, 345, 144, 360, 186, 402)(130, 346, 206, 422, 207, 423)(131, 347, 159, 375, 208, 424)(151, 367, 176, 392, 161, 377)(156, 372, 195, 411, 200, 416)(160, 376, 214, 430, 210, 426)(162, 378, 212, 428, 213, 429)(194, 410, 211, 427, 215, 431)(196, 412, 209, 425, 216, 432)
	L = (1, 218)(2, 222)(3, 225)(4, 217)(5, 230)(6, 232)(7, 235)(8, 237)(9, 239)(10, 219)(11, 245)(12, 220)(13, 249)(14, 251)(15, 221)(16, 228)(17, 259)(18, 261)(19, 263)(20, 223)(21, 269)(22, 224)(23, 275)(24, 278)(25, 280)(26, 282)(27, 226)(28, 286)(29, 288)(30, 227)(31, 294)(32, 296)(33, 298)(34, 229)(35, 303)(36, 306)(37, 308)(38, 310)(39, 231)(40, 314)(41, 315)(42, 317)(43, 313)(44, 233)(45, 284)(46, 234)(47, 329)(48, 256)(49, 332)(50, 334)(51, 236)(52, 338)(53, 340)(54, 342)(55, 344)(56, 346)(57, 238)(58, 350)(59, 243)(60, 297)(61, 341)(62, 319)(63, 240)(64, 356)(65, 241)(66, 321)(67, 242)(68, 367)(69, 348)(70, 368)(71, 244)(72, 372)(73, 331)(74, 375)(75, 335)(76, 246)(77, 378)(78, 379)(79, 247)(80, 381)(81, 248)(82, 362)(83, 386)(84, 345)(85, 388)(86, 250)(87, 255)(88, 330)(89, 295)(90, 384)(91, 252)(92, 325)(93, 253)(94, 397)(95, 254)(96, 337)(97, 402)(98, 328)(99, 349)(100, 257)(101, 336)(102, 258)(103, 274)(104, 287)(105, 408)(106, 260)(107, 391)(108, 311)(109, 411)(110, 412)(111, 262)(112, 289)(113, 267)(114, 285)(115, 264)(116, 293)(117, 265)(118, 404)(119, 266)(120, 364)(121, 413)(122, 416)(123, 268)(124, 273)(125, 312)(126, 301)(127, 270)(128, 407)(129, 271)(130, 363)(131, 272)(132, 409)(133, 395)(134, 279)(135, 300)(136, 425)(137, 276)(138, 277)(139, 426)(140, 427)(141, 414)(142, 326)(143, 417)(144, 281)(145, 392)(146, 302)(147, 429)(148, 373)(149, 283)(150, 343)(151, 327)(152, 398)(153, 415)(154, 382)(155, 418)(156, 292)(157, 318)(158, 304)(159, 405)(160, 290)(161, 291)(162, 394)(163, 390)(164, 400)(165, 353)(166, 358)(167, 309)(168, 361)(169, 316)(170, 355)(171, 299)(172, 366)(173, 370)(174, 305)(175, 352)(176, 307)(177, 423)(178, 333)(179, 385)(180, 376)(181, 410)(182, 320)(183, 421)(184, 323)(185, 424)(186, 322)(187, 339)(188, 377)(189, 420)(190, 347)(191, 351)(192, 365)(193, 374)(194, 324)(195, 383)(196, 389)(197, 354)(198, 371)(199, 393)(200, 422)(201, 399)(202, 401)(203, 387)(204, 396)(205, 432)(206, 403)(207, 431)(208, 357)(209, 380)(210, 419)(211, 360)(212, 359)(213, 406)(214, 369)(215, 430)(216, 428)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2984
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 72 e = 216 f = 90
	degree seq :: [ 6^72 ]

E28.2989 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6})
Quotient :: dipole
Aut^+ = ((C6 x C6) : C3) : C2 (small group id <216, 92>)
Aut   = $<432, 523>$ (small group id <432, 523>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y3 * Y1^-2, Y2^4, Y2^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * R * Y2^2 * Y1 * R * Y2^-1, Y2^2 * Y1 * Y2^2 * Y3^-1 * Y2^-2 * Y1, Y2^-2 * Y1 * Y2^2 * Y3^-1 * Y2^2 * Y1, Y2^-1 * Y3^2 * Y1^-1 * Y2^2 * Y1^-1 * Y3^-1 * Y2^-1, Y2^-2 * Y1 * Y2^-2 * Y3^-1 * Y2^2 * Y1, Y1 * Y2^-2 * Y1 * Y2^-2 * Y3^-1 * Y2^-2, Y2^-2 * Y1 * Y2 * Y3 * Y2^-2 * Y3^-1 * Y2 * Y3, Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^2 * Y3^-1 * Y2^-1 * Y1^-1 * Y2, Y2 * Y1^-1 * Y2 * Y3^-1 * Y2^2 * Y3 * Y2 * Y1 * Y2, Y2^-2 * Y1 * Y2^-1 * Y3 * Y2^-2 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y1 * Y2^-2 * Y3 * Y2 * Y3^-1 * Y2^-2 * Y1^-1, (Y3 * Y2^-1)^6, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1, Y2 * Y1 * Y2 * Y3 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y3 * Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 ]
Map::
	R = (1, 217, 2, 218, 4, 220)(3, 219, 8, 224, 10, 226)(5, 221, 13, 229, 14, 230)(6, 222, 15, 231, 17, 233)(7, 223, 18, 234, 19, 235)(9, 225, 22, 238, 23, 239)(11, 227, 26, 242, 28, 244)(12, 228, 29, 245, 30, 246)(16, 232, 37, 253, 38, 254)(20, 236, 45, 261, 47, 263)(21, 237, 48, 264, 49, 265)(24, 240, 54, 270, 56, 272)(25, 241, 57, 273, 58, 274)(27, 243, 61, 277, 62, 278)(31, 247, 69, 285, 71, 287)(32, 248, 72, 288, 73, 289)(33, 249, 74, 290, 76, 292)(34, 250, 77, 293, 78, 294)(35, 251, 79, 295, 81, 297)(36, 252, 82, 298, 83, 299)(39, 255, 86, 302, 88, 304)(40, 256, 89, 305, 90, 306)(41, 257, 91, 307, 93, 309)(42, 258, 94, 310, 95, 311)(43, 259, 96, 312, 98, 314)(44, 260, 99, 315, 100, 316)(46, 262, 75, 291, 85, 301)(50, 266, 80, 296, 97, 313)(51, 267, 92, 308, 87, 303)(52, 268, 109, 325, 110, 326)(53, 269, 111, 327, 112, 328)(55, 271, 84, 300, 70, 286)(59, 275, 121, 337, 122, 338)(60, 276, 123, 339, 124, 340)(63, 279, 125, 341, 126, 342)(64, 280, 127, 343, 128, 344)(65, 281, 129, 345, 130, 346)(66, 282, 131, 347, 132, 348)(67, 283, 133, 349, 134, 350)(68, 284, 135, 351, 136, 352)(101, 317, 153, 369, 154, 370)(102, 318, 155, 371, 156, 372)(103, 319, 145, 361, 157, 373)(104, 320, 150, 366, 158, 374)(105, 321, 159, 375, 160, 376)(106, 322, 161, 377, 162, 378)(107, 323, 149, 365, 163, 379)(108, 324, 146, 362, 164, 380)(113, 329, 165, 381, 166, 382)(114, 330, 167, 383, 168, 384)(115, 331, 169, 385, 138, 354)(116, 332, 170, 386, 142, 358)(117, 333, 171, 387, 172, 388)(118, 334, 173, 389, 174, 390)(119, 335, 175, 391, 137, 353)(120, 336, 176, 392, 141, 357)(139, 355, 181, 397, 185, 401)(140, 356, 184, 400, 186, 402)(143, 359, 183, 399, 187, 403)(144, 360, 182, 398, 188, 404)(147, 363, 189, 405, 178, 394)(148, 364, 190, 406, 180, 396)(151, 367, 191, 407, 177, 393)(152, 368, 192, 408, 179, 395)(193, 409, 205, 421, 215, 431)(194, 410, 208, 424, 213, 429)(195, 411, 207, 423, 216, 432)(196, 412, 206, 422, 214, 430)(197, 413, 211, 427, 202, 418)(198, 414, 209, 425, 204, 420)(199, 415, 210, 426, 201, 417)(200, 416, 212, 428, 203, 419)(433, 649, 435, 651, 441, 657, 437, 653)(434, 650, 438, 654, 448, 664, 439, 655)(436, 652, 443, 659, 459, 675, 444, 660)(440, 656, 452, 668, 478, 694, 453, 669)(442, 658, 456, 672, 487, 703, 457, 673)(445, 661, 463, 679, 502, 718, 464, 680)(446, 662, 465, 681, 507, 723, 466, 682)(447, 663, 467, 683, 512, 728, 468, 684)(449, 665, 471, 687, 519, 735, 472, 688)(450, 666, 473, 689, 524, 740, 474, 690)(451, 667, 475, 691, 529, 745, 476, 692)(454, 670, 482, 698, 494, 710, 483, 699)(455, 671, 484, 700, 469, 685, 485, 701)(458, 674, 491, 707, 543, 759, 492, 708)(460, 676, 495, 711, 542, 758, 496, 712)(461, 677, 497, 713, 541, 757, 498, 714)(462, 678, 499, 715, 544, 760, 500, 716)(470, 686, 516, 732, 493, 709, 517, 733)(477, 693, 533, 749, 501, 717, 534, 750)(479, 695, 535, 751, 505, 721, 536, 752)(480, 696, 537, 753, 504, 720, 538, 754)(481, 697, 539, 755, 503, 719, 540, 756)(486, 702, 545, 761, 509, 725, 546, 762)(488, 704, 547, 763, 508, 724, 548, 764)(489, 705, 549, 765, 506, 722, 550, 766)(490, 706, 551, 767, 510, 726, 552, 768)(511, 727, 569, 785, 523, 739, 570, 786)(513, 729, 571, 787, 527, 743, 572, 788)(514, 730, 573, 789, 526, 742, 574, 790)(515, 731, 575, 791, 525, 741, 576, 792)(518, 734, 577, 793, 531, 747, 578, 794)(520, 736, 579, 795, 530, 746, 580, 796)(521, 737, 581, 797, 528, 744, 582, 798)(522, 738, 583, 799, 532, 748, 584, 800)(553, 769, 609, 825, 561, 777, 610, 826)(554, 770, 598, 814, 564, 780, 606, 822)(555, 771, 611, 827, 563, 779, 612, 828)(556, 772, 604, 820, 562, 778, 600, 816)(557, 773, 613, 829, 567, 783, 614, 830)(558, 774, 587, 803, 566, 782, 593, 809)(559, 775, 615, 831, 565, 781, 616, 832)(560, 776, 585, 801, 568, 784, 591, 807)(586, 802, 625, 841, 594, 810, 626, 842)(588, 804, 627, 843, 592, 808, 628, 844)(589, 805, 629, 845, 595, 811, 630, 846)(590, 806, 631, 847, 596, 812, 632, 848)(597, 813, 633, 849, 603, 819, 634, 850)(599, 815, 635, 851, 605, 821, 636, 852)(601, 817, 637, 853, 608, 824, 638, 854)(602, 818, 639, 855, 607, 823, 640, 856)(617, 833, 641, 857, 619, 835, 642, 858)(618, 834, 643, 859, 620, 836, 644, 860)(621, 837, 645, 861, 624, 840, 646, 862)(622, 838, 647, 863, 623, 839, 648, 864)
	L = (1, 436)(2, 433)(3, 442)(4, 434)(5, 446)(6, 449)(7, 451)(8, 435)(9, 455)(10, 440)(11, 460)(12, 462)(13, 437)(14, 445)(15, 438)(16, 470)(17, 447)(18, 439)(19, 450)(20, 479)(21, 481)(22, 441)(23, 454)(24, 488)(25, 490)(26, 443)(27, 494)(28, 458)(29, 444)(30, 461)(31, 503)(32, 505)(33, 508)(34, 510)(35, 513)(36, 515)(37, 448)(38, 469)(39, 520)(40, 522)(41, 525)(42, 527)(43, 530)(44, 532)(45, 452)(46, 517)(47, 477)(48, 453)(49, 480)(50, 529)(51, 519)(52, 542)(53, 544)(54, 456)(55, 502)(56, 486)(57, 457)(58, 489)(59, 554)(60, 556)(61, 459)(62, 493)(63, 558)(64, 560)(65, 562)(66, 564)(67, 566)(68, 568)(69, 463)(70, 516)(71, 501)(72, 464)(73, 504)(74, 465)(75, 478)(76, 506)(77, 466)(78, 509)(79, 467)(80, 482)(81, 511)(82, 468)(83, 514)(84, 487)(85, 507)(86, 471)(87, 524)(88, 518)(89, 472)(90, 521)(91, 473)(92, 483)(93, 523)(94, 474)(95, 526)(96, 475)(97, 512)(98, 528)(99, 476)(100, 531)(101, 586)(102, 588)(103, 589)(104, 590)(105, 592)(106, 594)(107, 595)(108, 596)(109, 484)(110, 541)(111, 485)(112, 543)(113, 598)(114, 600)(115, 570)(116, 574)(117, 604)(118, 606)(119, 569)(120, 573)(121, 491)(122, 553)(123, 492)(124, 555)(125, 495)(126, 557)(127, 496)(128, 559)(129, 497)(130, 561)(131, 498)(132, 563)(133, 499)(134, 565)(135, 500)(136, 567)(137, 607)(138, 601)(139, 617)(140, 618)(141, 608)(142, 602)(143, 619)(144, 620)(145, 535)(146, 540)(147, 610)(148, 612)(149, 539)(150, 536)(151, 609)(152, 611)(153, 533)(154, 585)(155, 534)(156, 587)(157, 577)(158, 582)(159, 537)(160, 591)(161, 538)(162, 593)(163, 581)(164, 578)(165, 545)(166, 597)(167, 546)(168, 599)(169, 547)(170, 548)(171, 549)(172, 603)(173, 550)(174, 605)(175, 551)(176, 552)(177, 623)(178, 621)(179, 624)(180, 622)(181, 571)(182, 576)(183, 575)(184, 572)(185, 613)(186, 616)(187, 615)(188, 614)(189, 579)(190, 580)(191, 583)(192, 584)(193, 647)(194, 645)(195, 648)(196, 646)(197, 634)(198, 636)(199, 633)(200, 635)(201, 642)(202, 643)(203, 644)(204, 641)(205, 625)(206, 628)(207, 627)(208, 626)(209, 630)(210, 631)(211, 629)(212, 632)(213, 640)(214, 638)(215, 637)(216, 639)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2992
Graph:: bipartite
	v = 126 e = 432 f = 252
	degree seq :: [ 6^72, 8^54 ]

E28.2990 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6})
Quotient :: dipole
Aut^+ = ((C6 x C6) : C3) : C2 (small group id <216, 92>)
Aut   = $<432, 523>$ (small group id <432, 523>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^4, (R * Y1)^2, (R * Y3)^2, (Y2 * Y1)^3, (Y3^-1 * Y1^-1)^3, Y2^6, (Y2^-1 * Y1)^3, Y2^2 * Y1^2 * Y2^-2 * Y1^-2, Y1 * Y2 * Y1^-1 * Y2 * Y1^2 * Y2^-1 * Y1^-1 * Y2^-1 * Y1, (Y2 * Y1 * Y2^2 * Y1^-1)^2, Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-2 * Y1 * Y2^-2, (Y2^-1, Y1^-1)^3 ]
Map::
	R = (1, 217, 2, 218, 6, 222, 4, 220)(3, 219, 9, 225, 25, 241, 11, 227)(5, 221, 14, 230, 37, 253, 15, 231)(7, 223, 19, 235, 48, 264, 21, 237)(8, 224, 22, 238, 54, 270, 23, 239)(10, 226, 28, 244, 43, 259, 30, 246)(12, 228, 32, 248, 73, 289, 34, 250)(13, 229, 35, 251, 62, 278, 26, 242)(16, 232, 40, 256, 47, 263, 41, 257)(17, 233, 42, 258, 87, 303, 44, 260)(18, 234, 45, 261, 91, 307, 46, 262)(20, 236, 50, 266, 33, 249, 52, 268)(24, 240, 57, 273, 36, 252, 58, 274)(27, 243, 63, 279, 90, 306, 64, 280)(29, 245, 68, 284, 116, 332, 69, 285)(31, 247, 71, 287, 88, 304, 66, 282)(38, 254, 79, 295, 93, 309, 81, 297)(39, 255, 82, 298, 92, 308, 84, 300)(49, 265, 96, 312, 76, 292, 97, 313)(51, 267, 101, 317, 163, 379, 102, 318)(53, 269, 104, 320, 74, 290, 99, 315)(55, 271, 107, 323, 61, 277, 109, 325)(56, 272, 110, 326, 77, 293, 112, 328)(59, 275, 115, 331, 153, 369, 117, 333)(60, 276, 118, 334, 154, 370, 95, 311)(65, 281, 123, 339, 72, 288, 124, 340)(67, 283, 126, 342, 192, 408, 127, 343)(70, 286, 132, 348, 191, 407, 129, 345)(75, 291, 137, 353, 195, 411, 138, 354)(78, 294, 141, 357, 159, 375, 142, 358)(80, 296, 144, 360, 83, 299, 145, 361)(85, 301, 131, 347, 200, 416, 150, 366)(86, 302, 151, 367, 199, 415, 130, 346)(89, 305, 156, 372, 202, 418, 157, 373)(94, 310, 162, 378, 135, 351, 164, 380)(98, 314, 167, 383, 105, 321, 168, 384)(100, 316, 170, 386, 208, 424, 171, 387)(103, 319, 176, 392, 207, 423, 173, 389)(106, 322, 179, 395, 120, 336, 180, 396)(108, 324, 182, 398, 111, 327, 183, 399)(113, 329, 175, 391, 211, 427, 188, 404)(114, 330, 189, 405, 210, 426, 174, 390)(119, 335, 193, 409, 140, 356, 194, 410)(121, 337, 165, 381, 125, 341, 169, 385)(122, 338, 178, 394, 134, 350, 166, 382)(128, 344, 187, 403, 133, 349, 190, 406)(136, 352, 197, 413, 139, 355, 196, 412)(143, 359, 181, 397, 148, 364, 186, 402)(146, 362, 185, 401, 147, 363, 184, 400)(149, 365, 172, 388, 152, 368, 177, 393)(155, 371, 203, 419, 158, 374, 204, 420)(160, 376, 205, 421, 161, 377, 206, 422)(198, 414, 214, 430, 215, 431, 212, 428)(201, 417, 213, 429, 216, 432, 209, 425)(433, 649, 435, 651, 442, 658, 461, 677, 448, 664, 437, 653)(434, 650, 439, 655, 452, 668, 483, 699, 456, 672, 440, 656)(436, 652, 444, 660, 465, 681, 507, 723, 468, 684, 445, 661)(438, 654, 449, 665, 475, 691, 521, 737, 479, 695, 450, 666)(441, 657, 458, 674, 493, 709, 551, 767, 497, 713, 459, 675)(443, 659, 454, 670, 487, 703, 540, 756, 504, 720, 463, 679)(446, 662, 470, 686, 512, 728, 571, 787, 508, 724, 466, 682)(447, 663, 471, 687, 515, 731, 530, 746, 481, 697, 451, 667)(453, 669, 477, 693, 524, 740, 592, 808, 537, 753, 485, 701)(455, 671, 488, 704, 543, 759, 587, 803, 520, 736, 474, 690)(457, 673, 491, 707, 548, 764, 510, 726, 469, 685, 492, 708)(460, 676, 498, 714, 557, 773, 600, 816, 560, 776, 499, 715)(462, 678, 495, 711, 553, 769, 628, 844, 565, 781, 502, 718)(464, 680, 478, 694, 525, 741, 593, 809, 568, 784, 506, 722)(467, 683, 509, 725, 572, 788, 590, 806, 522, 738, 476, 692)(472, 688, 517, 733, 581, 797, 615, 831, 580, 796, 516, 732)(473, 689, 518, 734, 584, 800, 625, 841, 575, 791, 511, 727)(480, 696, 526, 742, 595, 811, 538, 754, 486, 702, 527, 743)(482, 698, 531, 747, 601, 817, 636, 852, 604, 820, 532, 748)(484, 700, 528, 744, 597, 813, 556, 772, 609, 825, 535, 751)(489, 705, 545, 761, 619, 835, 638, 854, 618, 834, 544, 760)(490, 706, 546, 762, 622, 838, 577, 793, 613, 829, 539, 755)(494, 710, 550, 766, 505, 721, 567, 783, 627, 843, 552, 768)(496, 712, 554, 770, 629, 845, 645, 861, 623, 839, 547, 763)(500, 716, 561, 777, 621, 837, 570, 786, 608, 824, 562, 778)(501, 717, 558, 774, 606, 822, 533, 749, 605, 821, 563, 779)(503, 719, 566, 782, 599, 815, 641, 857, 624, 840, 549, 765)(513, 729, 573, 789, 631, 847, 646, 862, 626, 842, 578, 794)(514, 730, 574, 790, 632, 848, 644, 860, 614, 830, 579, 795)(519, 735, 585, 801, 634, 850, 591, 807, 523, 739, 586, 802)(529, 745, 598, 814, 555, 771, 630, 846, 639, 855, 594, 810)(534, 750, 602, 818, 582, 798, 588, 804, 559, 775, 607, 823)(536, 752, 610, 826, 635, 851, 647, 863, 640, 856, 596, 812)(541, 757, 611, 827, 642, 858, 633, 849, 576, 792, 616, 832)(542, 758, 612, 828, 643, 859, 648, 864, 637, 853, 617, 833)(564, 780, 620, 836, 569, 785, 603, 819, 583, 799, 589, 805)
	L = (1, 435)(2, 439)(3, 442)(4, 444)(5, 433)(6, 449)(7, 452)(8, 434)(9, 458)(10, 461)(11, 454)(12, 465)(13, 436)(14, 470)(15, 471)(16, 437)(17, 475)(18, 438)(19, 447)(20, 483)(21, 477)(22, 487)(23, 488)(24, 440)(25, 491)(26, 493)(27, 441)(28, 498)(29, 448)(30, 495)(31, 443)(32, 478)(33, 507)(34, 446)(35, 509)(36, 445)(37, 492)(38, 512)(39, 515)(40, 517)(41, 518)(42, 455)(43, 521)(44, 467)(45, 524)(46, 525)(47, 450)(48, 526)(49, 451)(50, 531)(51, 456)(52, 528)(53, 453)(54, 527)(55, 540)(56, 543)(57, 545)(58, 546)(59, 548)(60, 457)(61, 551)(62, 550)(63, 553)(64, 554)(65, 459)(66, 557)(67, 460)(68, 561)(69, 558)(70, 462)(71, 566)(72, 463)(73, 567)(74, 464)(75, 468)(76, 466)(77, 572)(78, 469)(79, 473)(80, 571)(81, 573)(82, 574)(83, 530)(84, 472)(85, 581)(86, 584)(87, 585)(88, 474)(89, 479)(90, 476)(91, 586)(92, 592)(93, 593)(94, 595)(95, 480)(96, 597)(97, 598)(98, 481)(99, 601)(100, 482)(101, 605)(102, 602)(103, 484)(104, 610)(105, 485)(106, 486)(107, 490)(108, 504)(109, 611)(110, 612)(111, 587)(112, 489)(113, 619)(114, 622)(115, 496)(116, 510)(117, 503)(118, 505)(119, 497)(120, 494)(121, 628)(122, 629)(123, 630)(124, 609)(125, 600)(126, 606)(127, 607)(128, 499)(129, 621)(130, 500)(131, 501)(132, 620)(133, 502)(134, 599)(135, 627)(136, 506)(137, 603)(138, 608)(139, 508)(140, 590)(141, 631)(142, 632)(143, 511)(144, 616)(145, 613)(146, 513)(147, 514)(148, 516)(149, 615)(150, 588)(151, 589)(152, 625)(153, 634)(154, 519)(155, 520)(156, 559)(157, 564)(158, 522)(159, 523)(160, 537)(161, 568)(162, 529)(163, 538)(164, 536)(165, 556)(166, 555)(167, 641)(168, 560)(169, 636)(170, 582)(171, 583)(172, 532)(173, 563)(174, 533)(175, 534)(176, 562)(177, 535)(178, 635)(179, 642)(180, 643)(181, 539)(182, 579)(183, 580)(184, 541)(185, 542)(186, 544)(187, 638)(188, 569)(189, 570)(190, 577)(191, 547)(192, 549)(193, 575)(194, 578)(195, 552)(196, 565)(197, 645)(198, 639)(199, 646)(200, 644)(201, 576)(202, 591)(203, 647)(204, 604)(205, 617)(206, 618)(207, 594)(208, 596)(209, 624)(210, 633)(211, 648)(212, 614)(213, 623)(214, 626)(215, 640)(216, 637)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.2991
Graph:: bipartite
	v = 90 e = 432 f = 288
	degree seq :: [ 8^54, 12^36 ]

E28.2991 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6})
Quotient :: dipole
Aut^+ = ((C6 x C6) : C3) : C2 (small group id <216, 92>)
Aut   = $<432, 523>$ (small group id <432, 523>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^6, (Y3 * Y2^-1)^4, (Y3^-1 * Y2^-1 * Y3^-1)^3, (Y3^-2 * Y2)^3, (Y3^2 * Y2)^3, (Y3^-2 * Y2)^3, Y3^2 * Y2 * Y3^-1 * Y2 * Y3^-2 * Y2^-1 * Y3 * Y2^-1, (Y3 * Y2 * Y3^2 * Y2^-1)^2, Y2 * Y3^2 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1, Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^2 * Y2^-1 * Y3^-1 * Y2 * Y3, (Y3^-1, Y2^-1)^3, (Y3^-1 * Y1^-1)^6, (Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1)^2 ]
Map:: polytopal
	R = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)(433, 649, 434, 650, 436, 652)(435, 651, 440, 656, 442, 658)(437, 653, 445, 661, 446, 662)(438, 654, 448, 664, 450, 666)(439, 655, 451, 667, 452, 668)(441, 657, 456, 672, 458, 674)(443, 659, 461, 677, 463, 679)(444, 660, 464, 680, 465, 681)(447, 663, 471, 687, 472, 688)(449, 665, 475, 691, 477, 693)(453, 669, 484, 700, 485, 701)(454, 670, 486, 702, 488, 704)(455, 671, 489, 705, 490, 706)(457, 673, 494, 710, 495, 711)(459, 675, 498, 714, 481, 697)(460, 676, 500, 716, 501, 717)(462, 678, 505, 721, 507, 723)(466, 682, 514, 730, 515, 731)(467, 683, 516, 732, 518, 734)(468, 684, 508, 724, 519, 735)(469, 685, 521, 737, 523, 739)(470, 686, 524, 740, 525, 741)(473, 689, 531, 747, 533, 749)(474, 690, 534, 750, 535, 751)(476, 692, 538, 754, 539, 755)(478, 694, 542, 758, 511, 727)(479, 695, 544, 760, 545, 761)(480, 696, 547, 763, 549, 765)(482, 698, 551, 767, 553, 769)(483, 699, 554, 770, 555, 771)(487, 703, 526, 742, 559, 775)(491, 707, 569, 785, 570, 786)(492, 708, 532, 748, 556, 772)(493, 709, 548, 764, 571, 787)(496, 712, 576, 792, 566, 782)(497, 713, 577, 793, 578, 794)(499, 715, 540, 756, 520, 736)(502, 718, 558, 774, 585, 801)(503, 719, 586, 802, 588, 804)(504, 720, 589, 805, 590, 806)(506, 722, 593, 809, 594, 810)(509, 725, 596, 812, 574, 790)(510, 726, 597, 813, 599, 815)(512, 728, 600, 816, 601, 817)(513, 729, 602, 818, 603, 819)(517, 733, 606, 822, 592, 808)(522, 738, 541, 757, 613, 829)(527, 743, 536, 752, 617, 833)(528, 744, 550, 766, 543, 759)(529, 745, 618, 834, 565, 781)(530, 746, 587, 803, 604, 820)(537, 753, 598, 814, 560, 776)(546, 762, 605, 821, 615, 831)(552, 768, 595, 811, 584, 800)(557, 773, 591, 807, 561, 777)(562, 778, 636, 852, 637, 853)(563, 779, 625, 841, 583, 799)(564, 780, 630, 846, 621, 837)(567, 783, 627, 843, 629, 845)(568, 784, 633, 849, 610, 826)(572, 788, 619, 835, 634, 850)(573, 789, 635, 851, 638, 854)(575, 791, 639, 855, 622, 838)(579, 795, 624, 840, 616, 832)(580, 796, 607, 823, 626, 842)(581, 797, 609, 825, 628, 844)(582, 798, 608, 824, 631, 847)(611, 827, 644, 860, 645, 861)(612, 828, 640, 856, 620, 836)(614, 830, 646, 862, 642, 858)(623, 839, 647, 863, 643, 859)(632, 848, 648, 864, 641, 857)
	L = (1, 435)(2, 438)(3, 441)(4, 443)(5, 433)(6, 449)(7, 434)(8, 454)(9, 457)(10, 459)(11, 462)(12, 436)(13, 467)(14, 469)(15, 437)(16, 473)(17, 476)(18, 478)(19, 480)(20, 482)(21, 439)(22, 487)(23, 440)(24, 492)(25, 447)(26, 496)(27, 499)(28, 442)(29, 503)(30, 506)(31, 508)(32, 510)(33, 512)(34, 444)(35, 517)(36, 445)(37, 522)(38, 446)(39, 527)(40, 529)(41, 532)(42, 448)(43, 530)(44, 453)(45, 540)(46, 543)(47, 450)(48, 548)(49, 451)(50, 552)(51, 452)(52, 557)(53, 558)(54, 560)(55, 562)(56, 563)(57, 565)(58, 567)(59, 455)(60, 515)(61, 456)(62, 573)(63, 547)(64, 484)(65, 458)(66, 580)(67, 534)(68, 582)(69, 538)(70, 460)(71, 587)(72, 461)(73, 559)(74, 466)(75, 528)(76, 566)(77, 463)(78, 598)(79, 464)(80, 578)(81, 465)(82, 570)(83, 605)(84, 561)(85, 601)(86, 607)(87, 609)(88, 468)(89, 610)(90, 612)(91, 550)(92, 614)(93, 584)(94, 470)(95, 616)(96, 471)(97, 619)(98, 472)(99, 606)(100, 620)(101, 581)(102, 502)(103, 611)(104, 474)(105, 475)(106, 622)(107, 597)(108, 514)(109, 477)(110, 625)(111, 589)(112, 627)(113, 593)(114, 479)(115, 569)(116, 523)(117, 583)(118, 481)(119, 630)(120, 632)(121, 576)(122, 633)(123, 577)(124, 483)(125, 579)(126, 634)(127, 485)(128, 635)(129, 486)(130, 491)(131, 519)(132, 488)(133, 509)(134, 489)(135, 600)(136, 490)(137, 531)(138, 624)(139, 623)(140, 493)(141, 585)(142, 494)(143, 495)(144, 511)(145, 545)(146, 636)(147, 497)(148, 524)(149, 498)(150, 640)(151, 500)(152, 501)(153, 603)(154, 571)(155, 641)(156, 626)(157, 546)(158, 631)(159, 504)(160, 505)(161, 643)(162, 516)(163, 507)(164, 644)(165, 617)(166, 553)(167, 628)(168, 646)(169, 520)(170, 564)(171, 613)(172, 513)(173, 572)(174, 575)(175, 596)(176, 518)(177, 602)(178, 639)(179, 521)(180, 526)(181, 574)(182, 533)(183, 525)(184, 595)(185, 586)(186, 555)(187, 537)(188, 536)(189, 535)(190, 615)(191, 539)(192, 541)(193, 554)(194, 542)(195, 648)(196, 544)(197, 549)(198, 647)(199, 551)(200, 556)(201, 588)(202, 592)(203, 594)(204, 604)(205, 608)(206, 568)(207, 621)(208, 629)(209, 591)(210, 590)(211, 618)(212, 637)(213, 599)(214, 638)(215, 642)(216, 645)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 8, 12 ), ( 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2990
Graph:: simple bipartite
	v = 288 e = 432 f = 90
	degree seq :: [ 2^216, 6^72 ]

E28.2992 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6})
Quotient :: dipole
Aut^+ = ((C6 x C6) : C3) : C2 (small group id <216, 92>)
Aut   = $<432, 523>$ (small group id <432, 523>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^6, (Y3 * Y2^-1)^3, (Y3^-1 * Y1^-1)^4, (Y1^-2 * Y3^-1)^3, (Y3 * Y1^-2)^3, (Y3 * Y1^-2)^3, (Y3^-1 * Y1^-2)^3, (Y3 * Y1^-1 * Y3^-1 * Y1^-2)^2, (Y3 * Y1^-2 * Y3^-1 * Y1^-1)^2, Y1^2 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3, Y1^2 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 ]
Map:: polytopal
	R = (1, 217, 2, 218, 6, 222, 16, 232, 12, 228, 4, 220)(3, 219, 9, 225, 23, 239, 59, 275, 27, 243, 10, 226)(5, 221, 14, 230, 35, 251, 87, 303, 39, 255, 15, 231)(7, 223, 19, 235, 47, 263, 113, 329, 51, 267, 20, 236)(8, 224, 21, 237, 53, 269, 124, 340, 57, 273, 22, 238)(11, 227, 29, 245, 72, 288, 156, 372, 76, 292, 30, 246)(13, 229, 33, 249, 82, 298, 146, 362, 86, 302, 34, 250)(17, 233, 43, 259, 97, 313, 186, 402, 106, 322, 44, 260)(18, 234, 45, 261, 68, 284, 151, 367, 111, 327, 46, 262)(24, 240, 62, 278, 103, 319, 58, 274, 134, 350, 63, 279)(25, 241, 64, 280, 140, 356, 211, 427, 144, 360, 65, 281)(26, 242, 66, 282, 105, 321, 192, 408, 149, 365, 67, 283)(28, 244, 70, 286, 152, 368, 182, 398, 104, 320, 71, 287)(31, 247, 78, 294, 163, 379, 174, 390, 89, 305, 79, 295)(32, 248, 80, 296, 165, 381, 137, 353, 60, 276, 81, 297)(36, 252, 90, 306, 168, 384, 145, 361, 176, 392, 91, 307)(37, 253, 92, 308, 109, 325, 195, 411, 167, 383, 93, 309)(38, 254, 94, 310, 181, 397, 194, 410, 108, 324, 95, 311)(40, 256, 98, 314, 112, 328, 73, 289, 115, 331, 48, 264)(41, 257, 99, 315, 133, 349, 179, 395, 169, 385, 100, 316)(42, 258, 101, 317, 120, 336, 148, 364, 157, 373, 102, 318)(49, 265, 116, 332, 77, 293, 162, 378, 178, 394, 117, 333)(50, 266, 118, 334, 188, 404, 161, 377, 75, 291, 119, 335)(52, 268, 122, 338, 200, 416, 206, 422, 187, 403, 123, 339)(54, 270, 126, 342, 85, 301, 172, 388, 150, 366, 127, 343)(55, 271, 128, 344, 191, 407, 135, 351, 84, 300, 129, 345)(56, 272, 130, 346, 147, 363, 213, 429, 190, 406, 131, 347)(61, 277, 125, 341, 96, 312, 121, 337, 197, 413, 138, 354)(69, 285, 132, 348, 193, 409, 158, 374, 88, 304, 114, 330)(74, 290, 159, 375, 189, 405, 204, 420, 180, 396, 160, 376)(83, 299, 170, 386, 139, 355, 210, 426, 203, 419, 171, 387)(107, 323, 175, 391, 136, 352, 209, 425, 164, 380, 184, 400)(110, 326, 196, 412, 173, 389, 154, 370, 166, 382, 142, 358)(141, 357, 198, 414, 155, 371, 202, 418, 185, 401, 208, 424)(143, 359, 201, 417, 183, 399, 205, 421, 216, 432, 212, 428)(153, 369, 199, 415, 177, 393, 207, 423, 215, 431, 214, 430)(433, 649)(434, 650)(435, 651)(436, 652)(437, 653)(438, 654)(439, 655)(440, 656)(441, 657)(442, 658)(443, 659)(444, 660)(445, 661)(446, 662)(447, 663)(448, 664)(449, 665)(450, 666)(451, 667)(452, 668)(453, 669)(454, 670)(455, 671)(456, 672)(457, 673)(458, 674)(459, 675)(460, 676)(461, 677)(462, 678)(463, 679)(464, 680)(465, 681)(466, 682)(467, 683)(468, 684)(469, 685)(470, 686)(471, 687)(472, 688)(473, 689)(474, 690)(475, 691)(476, 692)(477, 693)(478, 694)(479, 695)(480, 696)(481, 697)(482, 698)(483, 699)(484, 700)(485, 701)(486, 702)(487, 703)(488, 704)(489, 705)(490, 706)(491, 707)(492, 708)(493, 709)(494, 710)(495, 711)(496, 712)(497, 713)(498, 714)(499, 715)(500, 716)(501, 717)(502, 718)(503, 719)(504, 720)(505, 721)(506, 722)(507, 723)(508, 724)(509, 725)(510, 726)(511, 727)(512, 728)(513, 729)(514, 730)(515, 731)(516, 732)(517, 733)(518, 734)(519, 735)(520, 736)(521, 737)(522, 738)(523, 739)(524, 740)(525, 741)(526, 742)(527, 743)(528, 744)(529, 745)(530, 746)(531, 747)(532, 748)(533, 749)(534, 750)(535, 751)(536, 752)(537, 753)(538, 754)(539, 755)(540, 756)(541, 757)(542, 758)(543, 759)(544, 760)(545, 761)(546, 762)(547, 763)(548, 764)(549, 765)(550, 766)(551, 767)(552, 768)(553, 769)(554, 770)(555, 771)(556, 772)(557, 773)(558, 774)(559, 775)(560, 776)(561, 777)(562, 778)(563, 779)(564, 780)(565, 781)(566, 782)(567, 783)(568, 784)(569, 785)(570, 786)(571, 787)(572, 788)(573, 789)(574, 790)(575, 791)(576, 792)(577, 793)(578, 794)(579, 795)(580, 796)(581, 797)(582, 798)(583, 799)(584, 800)(585, 801)(586, 802)(587, 803)(588, 804)(589, 805)(590, 806)(591, 807)(592, 808)(593, 809)(594, 810)(595, 811)(596, 812)(597, 813)(598, 814)(599, 815)(600, 816)(601, 817)(602, 818)(603, 819)(604, 820)(605, 821)(606, 822)(607, 823)(608, 824)(609, 825)(610, 826)(611, 827)(612, 828)(613, 829)(614, 830)(615, 831)(616, 832)(617, 833)(618, 834)(619, 835)(620, 836)(621, 837)(622, 838)(623, 839)(624, 840)(625, 841)(626, 842)(627, 843)(628, 844)(629, 845)(630, 846)(631, 847)(632, 848)(633, 849)(634, 850)(635, 851)(636, 852)(637, 853)(638, 854)(639, 855)(640, 856)(641, 857)(642, 858)(643, 859)(644, 860)(645, 861)(646, 862)(647, 863)(648, 864)
	L = (1, 435)(2, 439)(3, 437)(4, 443)(5, 433)(6, 449)(7, 440)(8, 434)(9, 456)(10, 458)(11, 445)(12, 463)(13, 436)(14, 468)(15, 470)(16, 473)(17, 450)(18, 438)(19, 480)(20, 482)(21, 486)(22, 488)(23, 492)(24, 457)(25, 441)(26, 460)(27, 500)(28, 442)(29, 505)(30, 507)(31, 464)(32, 444)(33, 515)(34, 517)(35, 520)(36, 469)(37, 446)(38, 472)(39, 528)(40, 447)(41, 474)(42, 448)(43, 535)(44, 537)(45, 540)(46, 542)(47, 518)(48, 481)(49, 451)(50, 484)(51, 552)(52, 452)(53, 557)(54, 487)(55, 453)(56, 490)(57, 564)(58, 454)(59, 567)(60, 493)(61, 455)(62, 466)(63, 534)(64, 573)(65, 575)(66, 578)(67, 580)(68, 501)(69, 459)(70, 585)(71, 587)(72, 589)(73, 506)(74, 461)(75, 509)(76, 485)(77, 462)(78, 566)(79, 581)(80, 598)(81, 600)(82, 570)(83, 516)(84, 465)(85, 494)(86, 546)(87, 605)(88, 521)(89, 467)(90, 503)(91, 607)(92, 610)(93, 612)(94, 614)(95, 616)(96, 529)(97, 471)(98, 619)(99, 530)(100, 620)(101, 622)(102, 571)(103, 536)(104, 475)(105, 539)(106, 597)(107, 476)(108, 541)(109, 477)(110, 544)(111, 629)(112, 478)(113, 525)(114, 479)(115, 513)(116, 630)(117, 631)(118, 519)(119, 569)(120, 553)(121, 483)(122, 633)(123, 634)(124, 635)(125, 508)(126, 555)(127, 636)(128, 584)(129, 576)(130, 638)(131, 591)(132, 565)(133, 489)(134, 596)(135, 568)(136, 491)(137, 613)(138, 601)(139, 495)(140, 511)(141, 574)(142, 496)(143, 577)(144, 618)(145, 497)(146, 579)(147, 498)(148, 582)(149, 572)(150, 499)(151, 608)(152, 606)(153, 586)(154, 502)(155, 522)(156, 627)(157, 590)(158, 504)(159, 640)(160, 646)(161, 583)(162, 644)(163, 543)(164, 510)(165, 625)(166, 599)(167, 512)(168, 547)(169, 514)(170, 548)(171, 554)(172, 549)(173, 550)(174, 560)(175, 609)(176, 593)(177, 523)(178, 611)(179, 524)(180, 545)(181, 551)(182, 615)(183, 526)(184, 617)(185, 527)(186, 561)(187, 531)(188, 621)(189, 532)(190, 623)(191, 533)(192, 556)(193, 538)(194, 643)(195, 632)(196, 641)(197, 595)(198, 602)(199, 604)(200, 588)(201, 603)(202, 558)(203, 624)(204, 637)(205, 559)(206, 639)(207, 562)(208, 563)(209, 648)(210, 592)(211, 647)(212, 645)(213, 594)(214, 642)(215, 626)(216, 628)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.2989
Graph:: simple bipartite
	v = 252 e = 432 f = 126
	degree seq :: [ 2^216, 12^36 ]

E28.2993 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6})
Quotient :: dipole
Aut^+ = ((C6 x C6) : C3) : C2 (small group id <216, 92>)
Aut   = $<432, 523>$ (small group id <432, 523>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y1^2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y2^6, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y3 * Y2^-1 * Y1^-1)^2, (Y3 * Y2^-1)^4, Y2 * Y1^-1 * Y2^2 * Y3 * Y2^2 * Y1^-1 * Y2, Y2^2 * Y3 * Y2^2 * Y1^-1 * Y2^2 * Y1^-1, Y1 * Y2^2 * Y1 * Y2^2 * Y3^-1 * Y2^2, Y1 * Y2^-2 * Y1 * Y2^-2 * Y3^-1 * Y2^-2, Y3^-1 * Y2 * Y1 * Y2^3 * Y1 * Y2 * Y1 * Y2^-1, Y1^-1 * Y2 * Y3 * Y2^-1 * Y1^-1 * Y2^-3 * Y1^-1 * Y2^-1, Y2^-2 * Y1 * Y2 * Y3^-1 * Y2^2 * Y1^-1 * Y2^-1 * Y1^-1, Y3 * Y2^-1 * Y1 * Y2^-2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-2, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-3 * Y3^-1, Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-3, Y2 * Y3 * Y2^-2 * Y1 * Y2^-1 * Y3^-1 * Y2^2 * Y1^-1, Y2 * Y3 * Y2^2 * Y1 * Y2^-1 * Y3^-1 * Y2^-2 * Y1^-1, Y2^2 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1^-1 * Y2 * Y1^-1, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^2 * Y1^-1 * Y2^-1, Y1 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y2^-2, Y2 * Y1 * Y2^-1 * Y3 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1 ]
Map::
	R = (1, 217, 2, 218, 4, 220)(3, 219, 8, 224, 10, 226)(5, 221, 13, 229, 14, 230)(6, 222, 16, 232, 18, 234)(7, 223, 19, 235, 20, 236)(9, 225, 24, 240, 26, 242)(11, 227, 29, 245, 31, 247)(12, 228, 32, 248, 33, 249)(15, 231, 39, 255, 40, 256)(17, 233, 43, 259, 45, 261)(21, 237, 52, 268, 53, 269)(22, 238, 54, 270, 56, 272)(23, 239, 57, 273, 58, 274)(25, 241, 62, 278, 63, 279)(27, 243, 66, 282, 68, 284)(28, 244, 69, 285, 70, 286)(30, 246, 74, 290, 76, 292)(34, 250, 82, 298, 83, 299)(35, 251, 84, 300, 86, 302)(36, 252, 87, 303, 88, 304)(37, 253, 90, 306, 92, 308)(38, 254, 93, 309, 41, 257)(42, 258, 100, 316, 101, 317)(44, 260, 104, 320, 105, 321)(46, 262, 108, 324, 110, 326)(47, 263, 111, 327, 112, 328)(48, 264, 114, 330, 116, 332)(49, 265, 117, 333, 118, 334)(50, 266, 120, 336, 122, 338)(51, 267, 123, 339, 72, 288)(55, 271, 94, 310, 127, 343)(59, 275, 136, 352, 137, 353)(60, 276, 99, 315, 124, 340)(61, 277, 115, 331, 138, 354)(64, 280, 143, 359, 144, 360)(65, 281, 145, 361, 146, 362)(67, 283, 106, 322, 89, 305)(71, 287, 126, 342, 155, 371)(73, 289, 157, 373, 158, 374)(75, 291, 161, 377, 132, 348)(77, 293, 163, 379, 164, 380)(78, 294, 165, 381, 129, 345)(79, 295, 167, 383, 169, 385)(80, 296, 170, 386, 171, 387)(81, 297, 172, 388, 140, 356)(85, 301, 174, 390, 160, 376)(91, 307, 107, 323, 182, 398)(95, 311, 102, 318, 185, 401)(96, 312, 119, 335, 109, 325)(97, 313, 186, 402, 166, 382)(98, 314, 156, 372, 128, 344)(103, 319, 168, 384, 133, 349)(113, 329, 173, 389, 152, 368)(121, 337, 162, 378, 151, 367)(125, 341, 159, 375, 178, 394)(130, 346, 192, 408, 180, 396)(131, 347, 199, 415, 183, 399)(134, 350, 195, 411, 181, 397)(135, 351, 201, 417, 148, 364)(139, 355, 187, 403, 202, 418)(141, 357, 203, 419, 205, 421)(142, 358, 206, 422, 189, 405)(147, 363, 191, 407, 184, 400)(149, 365, 210, 426, 211, 427)(150, 366, 212, 428, 197, 413)(153, 369, 213, 429, 214, 430)(154, 370, 176, 392, 193, 409)(175, 391, 208, 424, 204, 420)(177, 393, 200, 416, 188, 404)(179, 395, 196, 412, 198, 414)(190, 406, 215, 431, 209, 425)(194, 410, 216, 432, 207, 423)(433, 649, 435, 651, 441, 657, 457, 673, 447, 663, 437, 653)(434, 650, 438, 654, 449, 665, 476, 692, 453, 669, 439, 655)(436, 652, 443, 659, 462, 678, 507, 723, 466, 682, 444, 660)(440, 656, 454, 670, 487, 703, 561, 777, 491, 707, 455, 671)(442, 658, 459, 675, 499, 715, 582, 798, 503, 719, 460, 676)(445, 661, 467, 683, 517, 733, 607, 823, 521, 737, 468, 684)(446, 662, 469, 685, 523, 739, 546, 762, 526, 742, 470, 686)(448, 664, 473, 689, 531, 747, 502, 718, 534, 750, 474, 690)(450, 666, 478, 694, 541, 757, 626, 842, 545, 761, 479, 695)(451, 667, 480, 696, 547, 763, 629, 845, 551, 767, 481, 697)(452, 668, 482, 698, 553, 769, 599, 815, 556, 772, 483, 699)(456, 672, 492, 708, 515, 731, 605, 821, 571, 787, 493, 709)(458, 674, 496, 712, 484, 700, 557, 773, 579, 795, 497, 713)(461, 677, 504, 720, 588, 804, 544, 760, 591, 807, 505, 721)(463, 679, 509, 725, 576, 792, 640, 856, 598, 814, 510, 726)(464, 680, 511, 727, 600, 816, 639, 855, 575, 791, 512, 728)(465, 681, 513, 729, 578, 794, 516, 732, 560, 776, 486, 702)(471, 687, 527, 743, 616, 832, 594, 810, 508, 724, 528, 744)(472, 688, 529, 745, 619, 835, 535, 751, 475, 691, 530, 746)(477, 693, 538, 754, 514, 730, 569, 785, 623, 839, 539, 755)(485, 701, 558, 774, 634, 850, 592, 808, 506, 722, 559, 775)(488, 704, 562, 778, 520, 736, 611, 827, 595, 811, 563, 779)(489, 705, 564, 780, 635, 851, 610, 826, 519, 735, 565, 781)(490, 706, 566, 782, 636, 852, 645, 861, 604, 820, 567, 783)(494, 710, 572, 788, 587, 803, 596, 812, 614, 830, 573, 789)(495, 711, 574, 790, 568, 784, 549, 765, 606, 822, 532, 748)(498, 714, 580, 796, 525, 741, 615, 831, 550, 766, 581, 797)(500, 716, 583, 799, 621, 837, 536, 752, 524, 740, 584, 800)(501, 717, 585, 801, 548, 764, 630, 846, 638, 854, 586, 802)(518, 734, 608, 824, 637, 853, 642, 858, 597, 813, 609, 825)(522, 738, 612, 828, 533, 749, 620, 836, 644, 860, 613, 829)(537, 753, 622, 838, 617, 833, 602, 818, 570, 786, 589, 805)(540, 756, 624, 840, 555, 771, 633, 849, 603, 819, 625, 841)(542, 758, 577, 793, 641, 857, 593, 809, 554, 770, 618, 834)(543, 759, 627, 843, 601, 817, 643, 859, 647, 863, 628, 844)(552, 768, 631, 847, 590, 806, 646, 862, 648, 864, 632, 848)
	L = (1, 436)(2, 433)(3, 442)(4, 434)(5, 446)(6, 450)(7, 452)(8, 435)(9, 458)(10, 440)(11, 463)(12, 465)(13, 437)(14, 445)(15, 472)(16, 438)(17, 477)(18, 448)(19, 439)(20, 451)(21, 485)(22, 488)(23, 490)(24, 441)(25, 495)(26, 456)(27, 500)(28, 502)(29, 443)(30, 508)(31, 461)(32, 444)(33, 464)(34, 515)(35, 518)(36, 520)(37, 524)(38, 473)(39, 447)(40, 471)(41, 525)(42, 533)(43, 449)(44, 537)(45, 475)(46, 542)(47, 544)(48, 548)(49, 550)(50, 554)(51, 504)(52, 453)(53, 484)(54, 454)(55, 559)(56, 486)(57, 455)(58, 489)(59, 569)(60, 556)(61, 570)(62, 457)(63, 494)(64, 576)(65, 578)(66, 459)(67, 521)(68, 498)(69, 460)(70, 501)(71, 587)(72, 555)(73, 590)(74, 462)(75, 564)(76, 506)(77, 596)(78, 561)(79, 601)(80, 603)(81, 572)(82, 466)(83, 514)(84, 467)(85, 592)(86, 516)(87, 468)(88, 519)(89, 538)(90, 469)(91, 614)(92, 522)(93, 470)(94, 487)(95, 617)(96, 541)(97, 598)(98, 560)(99, 492)(100, 474)(101, 532)(102, 527)(103, 565)(104, 476)(105, 536)(106, 499)(107, 523)(108, 478)(109, 551)(110, 540)(111, 479)(112, 543)(113, 584)(114, 480)(115, 493)(116, 546)(117, 481)(118, 549)(119, 528)(120, 482)(121, 583)(122, 552)(123, 483)(124, 531)(125, 610)(126, 503)(127, 526)(128, 588)(129, 597)(130, 612)(131, 615)(132, 593)(133, 600)(134, 613)(135, 580)(136, 491)(137, 568)(138, 547)(139, 634)(140, 604)(141, 637)(142, 621)(143, 496)(144, 575)(145, 497)(146, 577)(147, 616)(148, 633)(149, 643)(150, 629)(151, 594)(152, 605)(153, 646)(154, 625)(155, 558)(156, 530)(157, 505)(158, 589)(159, 557)(160, 606)(161, 507)(162, 553)(163, 509)(164, 595)(165, 510)(166, 618)(167, 511)(168, 535)(169, 599)(170, 512)(171, 602)(172, 513)(173, 545)(174, 517)(175, 636)(176, 586)(177, 620)(178, 591)(179, 630)(180, 624)(181, 627)(182, 539)(183, 631)(184, 623)(185, 534)(186, 529)(187, 571)(188, 632)(189, 638)(190, 641)(191, 579)(192, 562)(193, 608)(194, 639)(195, 566)(196, 611)(197, 644)(198, 628)(199, 563)(200, 609)(201, 567)(202, 619)(203, 573)(204, 640)(205, 635)(206, 574)(207, 648)(208, 607)(209, 647)(210, 581)(211, 642)(212, 582)(213, 585)(214, 645)(215, 622)(216, 626)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.2994
Graph:: bipartite
	v = 108 e = 432 f = 270
	degree seq :: [ 6^72, 12^36 ]

E28.2994 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6})
Quotient :: dipole
Aut^+ = ((C6 x C6) : C3) : C2 (small group id <216, 92>)
Aut   = $<432, 523>$ (small group id <432, 523>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^4, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^3, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, Y3^6, Y1^-2 * Y3^2 * Y1^2 * Y3^-2, Y1 * Y3 * Y1^-1 * Y3 * Y1^2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1, (Y3 * Y1 * Y3^2 * Y1^-1)^2, Y3^2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1^-1 * Y3^2 * Y1^-1, (Y3 * Y2^-1)^6, Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3^-2 * Y1^-1 * Y3^-2 * Y1, Y3 * Y1 * Y3^-2 * Y1^-1 * Y3^-2 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, (Y3^-1, Y1^-1)^3 ]
Map:: polytopal
	R = (1, 217, 2, 218, 6, 222, 4, 220)(3, 219, 9, 225, 25, 241, 11, 227)(5, 221, 14, 230, 37, 253, 15, 231)(7, 223, 19, 235, 48, 264, 21, 237)(8, 224, 22, 238, 54, 270, 23, 239)(10, 226, 28, 244, 43, 259, 30, 246)(12, 228, 32, 248, 73, 289, 34, 250)(13, 229, 35, 251, 62, 278, 26, 242)(16, 232, 40, 256, 47, 263, 41, 257)(17, 233, 42, 258, 87, 303, 44, 260)(18, 234, 45, 261, 91, 307, 46, 262)(20, 236, 50, 266, 33, 249, 52, 268)(24, 240, 57, 273, 36, 252, 58, 274)(27, 243, 63, 279, 90, 306, 64, 280)(29, 245, 68, 284, 116, 332, 69, 285)(31, 247, 71, 287, 88, 304, 66, 282)(38, 254, 79, 295, 93, 309, 81, 297)(39, 255, 82, 298, 92, 308, 84, 300)(49, 265, 96, 312, 76, 292, 97, 313)(51, 267, 101, 317, 163, 379, 102, 318)(53, 269, 104, 320, 74, 290, 99, 315)(55, 271, 107, 323, 61, 277, 109, 325)(56, 272, 110, 326, 77, 293, 112, 328)(59, 275, 115, 331, 153, 369, 117, 333)(60, 276, 118, 334, 154, 370, 95, 311)(65, 281, 123, 339, 72, 288, 124, 340)(67, 283, 126, 342, 192, 408, 127, 343)(70, 286, 132, 348, 191, 407, 129, 345)(75, 291, 137, 353, 195, 411, 138, 354)(78, 294, 141, 357, 159, 375, 142, 358)(80, 296, 144, 360, 83, 299, 145, 361)(85, 301, 131, 347, 200, 416, 150, 366)(86, 302, 151, 367, 199, 415, 130, 346)(89, 305, 156, 372, 202, 418, 157, 373)(94, 310, 162, 378, 135, 351, 164, 380)(98, 314, 167, 383, 105, 321, 168, 384)(100, 316, 170, 386, 208, 424, 171, 387)(103, 319, 176, 392, 207, 423, 173, 389)(106, 322, 179, 395, 120, 336, 180, 396)(108, 324, 182, 398, 111, 327, 183, 399)(113, 329, 175, 391, 211, 427, 188, 404)(114, 330, 189, 405, 210, 426, 174, 390)(119, 335, 193, 409, 140, 356, 194, 410)(121, 337, 165, 381, 125, 341, 169, 385)(122, 338, 178, 394, 134, 350, 166, 382)(128, 344, 187, 403, 133, 349, 190, 406)(136, 352, 197, 413, 139, 355, 196, 412)(143, 359, 181, 397, 148, 364, 186, 402)(146, 362, 185, 401, 147, 363, 184, 400)(149, 365, 172, 388, 152, 368, 177, 393)(155, 371, 203, 419, 158, 374, 204, 420)(160, 376, 205, 421, 161, 377, 206, 422)(198, 414, 214, 430, 215, 431, 212, 428)(201, 417, 213, 429, 216, 432, 209, 425)(433, 649)(434, 650)(435, 651)(436, 652)(437, 653)(438, 654)(439, 655)(440, 656)(441, 657)(442, 658)(443, 659)(444, 660)(445, 661)(446, 662)(447, 663)(448, 664)(449, 665)(450, 666)(451, 667)(452, 668)(453, 669)(454, 670)(455, 671)(456, 672)(457, 673)(458, 674)(459, 675)(460, 676)(461, 677)(462, 678)(463, 679)(464, 680)(465, 681)(466, 682)(467, 683)(468, 684)(469, 685)(470, 686)(471, 687)(472, 688)(473, 689)(474, 690)(475, 691)(476, 692)(477, 693)(478, 694)(479, 695)(480, 696)(481, 697)(482, 698)(483, 699)(484, 700)(485, 701)(486, 702)(487, 703)(488, 704)(489, 705)(490, 706)(491, 707)(492, 708)(493, 709)(494, 710)(495, 711)(496, 712)(497, 713)(498, 714)(499, 715)(500, 716)(501, 717)(502, 718)(503, 719)(504, 720)(505, 721)(506, 722)(507, 723)(508, 724)(509, 725)(510, 726)(511, 727)(512, 728)(513, 729)(514, 730)(515, 731)(516, 732)(517, 733)(518, 734)(519, 735)(520, 736)(521, 737)(522, 738)(523, 739)(524, 740)(525, 741)(526, 742)(527, 743)(528, 744)(529, 745)(530, 746)(531, 747)(532, 748)(533, 749)(534, 750)(535, 751)(536, 752)(537, 753)(538, 754)(539, 755)(540, 756)(541, 757)(542, 758)(543, 759)(544, 760)(545, 761)(546, 762)(547, 763)(548, 764)(549, 765)(550, 766)(551, 767)(552, 768)(553, 769)(554, 770)(555, 771)(556, 772)(557, 773)(558, 774)(559, 775)(560, 776)(561, 777)(562, 778)(563, 779)(564, 780)(565, 781)(566, 782)(567, 783)(568, 784)(569, 785)(570, 786)(571, 787)(572, 788)(573, 789)(574, 790)(575, 791)(576, 792)(577, 793)(578, 794)(579, 795)(580, 796)(581, 797)(582, 798)(583, 799)(584, 800)(585, 801)(586, 802)(587, 803)(588, 804)(589, 805)(590, 806)(591, 807)(592, 808)(593, 809)(594, 810)(595, 811)(596, 812)(597, 813)(598, 814)(599, 815)(600, 816)(601, 817)(602, 818)(603, 819)(604, 820)(605, 821)(606, 822)(607, 823)(608, 824)(609, 825)(610, 826)(611, 827)(612, 828)(613, 829)(614, 830)(615, 831)(616, 832)(617, 833)(618, 834)(619, 835)(620, 836)(621, 837)(622, 838)(623, 839)(624, 840)(625, 841)(626, 842)(627, 843)(628, 844)(629, 845)(630, 846)(631, 847)(632, 848)(633, 849)(634, 850)(635, 851)(636, 852)(637, 853)(638, 854)(639, 855)(640, 856)(641, 857)(642, 858)(643, 859)(644, 860)(645, 861)(646, 862)(647, 863)(648, 864)
	L = (1, 435)(2, 439)(3, 442)(4, 444)(5, 433)(6, 449)(7, 452)(8, 434)(9, 458)(10, 461)(11, 454)(12, 465)(13, 436)(14, 470)(15, 471)(16, 437)(17, 475)(18, 438)(19, 447)(20, 483)(21, 477)(22, 487)(23, 488)(24, 440)(25, 491)(26, 493)(27, 441)(28, 498)(29, 448)(30, 495)(31, 443)(32, 478)(33, 507)(34, 446)(35, 509)(36, 445)(37, 492)(38, 512)(39, 515)(40, 517)(41, 518)(42, 455)(43, 521)(44, 467)(45, 524)(46, 525)(47, 450)(48, 526)(49, 451)(50, 531)(51, 456)(52, 528)(53, 453)(54, 527)(55, 540)(56, 543)(57, 545)(58, 546)(59, 548)(60, 457)(61, 551)(62, 550)(63, 553)(64, 554)(65, 459)(66, 557)(67, 460)(68, 561)(69, 558)(70, 462)(71, 566)(72, 463)(73, 567)(74, 464)(75, 468)(76, 466)(77, 572)(78, 469)(79, 473)(80, 571)(81, 573)(82, 574)(83, 530)(84, 472)(85, 581)(86, 584)(87, 585)(88, 474)(89, 479)(90, 476)(91, 586)(92, 592)(93, 593)(94, 595)(95, 480)(96, 597)(97, 598)(98, 481)(99, 601)(100, 482)(101, 605)(102, 602)(103, 484)(104, 610)(105, 485)(106, 486)(107, 490)(108, 504)(109, 611)(110, 612)(111, 587)(112, 489)(113, 619)(114, 622)(115, 496)(116, 510)(117, 503)(118, 505)(119, 497)(120, 494)(121, 628)(122, 629)(123, 630)(124, 609)(125, 600)(126, 606)(127, 607)(128, 499)(129, 621)(130, 500)(131, 501)(132, 620)(133, 502)(134, 599)(135, 627)(136, 506)(137, 603)(138, 608)(139, 508)(140, 590)(141, 631)(142, 632)(143, 511)(144, 616)(145, 613)(146, 513)(147, 514)(148, 516)(149, 615)(150, 588)(151, 589)(152, 625)(153, 634)(154, 519)(155, 520)(156, 559)(157, 564)(158, 522)(159, 523)(160, 537)(161, 568)(162, 529)(163, 538)(164, 536)(165, 556)(166, 555)(167, 641)(168, 560)(169, 636)(170, 582)(171, 583)(172, 532)(173, 563)(174, 533)(175, 534)(176, 562)(177, 535)(178, 635)(179, 642)(180, 643)(181, 539)(182, 579)(183, 580)(184, 541)(185, 542)(186, 544)(187, 638)(188, 569)(189, 570)(190, 577)(191, 547)(192, 549)(193, 575)(194, 578)(195, 552)(196, 565)(197, 645)(198, 639)(199, 646)(200, 644)(201, 576)(202, 591)(203, 647)(204, 604)(205, 617)(206, 618)(207, 594)(208, 596)(209, 624)(210, 633)(211, 648)(212, 614)(213, 623)(214, 626)(215, 640)(216, 637)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.2993
Graph:: simple bipartite
	v = 270 e = 432 f = 108
	degree seq :: [ 2^216, 8^54 ]

E28.2995 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 4, 6})
Quotient :: edge
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
|r| :: 1
Presentation :: [ X1^3, X2^4, (X2 * X1^-1)^3, (X1 * X2^-1)^3, (X1 * X2^-1)^3, X2^-1 * X1^-1 * X2 * X1 * X2^-2 * X1^-1 * X2^-2 * X1^-1 * X2^-1 * X1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 4)(3, 8, 10)(5, 13, 14)(6, 15, 17)(7, 18, 19)(9, 22, 23)(11, 25, 27)(12, 28, 29)(16, 35, 36)(20, 41, 43)(21, 44, 45)(24, 49, 50)(26, 53, 54)(30, 59, 60)(31, 61, 47)(32, 63, 64)(33, 65, 67)(34, 68, 69)(37, 73, 74)(38, 75, 76)(39, 77, 71)(40, 79, 80)(42, 83, 84)(46, 89, 91)(48, 92, 93)(51, 97, 99)(52, 100, 101)(55, 105, 106)(56, 107, 108)(57, 109, 103)(58, 111, 112)(62, 118, 119)(66, 125, 126)(70, 131, 133)(72, 134, 135)(78, 144, 145)(81, 149, 151)(82, 124, 152)(85, 155, 156)(86, 157, 158)(87, 159, 154)(88, 161, 162)(90, 165, 166)(94, 170, 171)(95, 172, 140)(96, 138, 174)(98, 176, 150)(102, 181, 183)(104, 184, 168)(110, 189, 190)(113, 128, 193)(114, 186, 194)(115, 195, 191)(116, 129, 196)(117, 197, 198)(120, 141, 201)(121, 132, 200)(122, 203, 123)(127, 204, 167)(130, 192, 160)(136, 163, 208)(137, 199, 187)(139, 178, 210)(142, 179, 211)(143, 164, 212)(146, 188, 214)(147, 182, 213)(148, 215, 175)(153, 207, 202)(169, 177, 216)(173, 185, 206)(180, 209, 205)(217, 219, 225, 221)(218, 222, 232, 223)(220, 227, 242, 228)(224, 236, 258, 237)(226, 234, 254, 240)(229, 246, 271, 243)(230, 247, 278, 248)(231, 249, 282, 250)(233, 244, 272, 253)(235, 255, 294, 256)(238, 262, 306, 263)(239, 260, 302, 264)(241, 267, 314, 268)(245, 273, 326, 274)(251, 286, 348, 287)(252, 284, 344, 288)(257, 297, 366, 298)(259, 265, 310, 301)(261, 303, 376, 304)(266, 311, 389, 312)(269, 318, 398, 319)(270, 316, 394, 320)(275, 329, 408, 330)(276, 279, 336, 331)(277, 332, 341, 333)(280, 337, 418, 338)(281, 339, 300, 340)(283, 289, 352, 343)(285, 345, 421, 346)(290, 353, 387, 354)(291, 355, 425, 356)(292, 295, 362, 357)(293, 358, 392, 359)(296, 363, 414, 364)(299, 369, 325, 370)(305, 379, 361, 380)(307, 308, 384, 383)(309, 385, 349, 350)(313, 391, 342, 368)(315, 321, 401, 393)(317, 395, 378, 396)(322, 402, 424, 390)(323, 374, 377, 403)(324, 327, 407, 404)(328, 382, 428, 365)(334, 415, 427, 416)(335, 413, 397, 386)(347, 422, 406, 423)(351, 372, 399, 400)(360, 410, 375, 429)(367, 371, 409, 411)(373, 430, 431, 432)(381, 405, 388, 412)(417, 419, 420, 426)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 12^3 ), ( 12^4 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 126 e = 216 f = 36
	degree seq :: [ 3^72, 4^54 ]

E28.2996 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 4, 6})
Quotient :: edge
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
|r| :: 1
Presentation :: [ X1^4, X1^4, (X2 * X1)^3, X2^6, (X1^-1 * X2^-2)^3, (X1^-2 * X2)^3, X1 * X2 * X1^-1 * X2^-1 * X1^-2 * X2^-1 * X1^-1 * X2, X2^2 * X1^-1 * X2 * X1^-2 * X2^-1 * X1 * X2, X1 * X2^-3 * X1 * X2^-1 * X1^2 * X2^-2, X2^2 * X1^-1 * X2^-2 * X1 * X2^-1 * X1^-1 * X2 * X1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 6, 4)(3, 9, 25, 11)(5, 14, 38, 15)(7, 19, 50, 21)(8, 22, 57, 23)(10, 28, 70, 30)(12, 33, 82, 35)(13, 36, 66, 26)(16, 42, 104, 43)(17, 44, 94, 46)(18, 47, 63, 48)(20, 52, 118, 54)(24, 61, 134, 62)(27, 67, 144, 68)(29, 73, 152, 74)(31, 77, 107, 79)(32, 80, 89, 71)(34, 84, 154, 86)(37, 91, 175, 92)(39, 95, 56, 97)(40, 98, 156, 99)(41, 101, 75, 103)(45, 108, 185, 110)(49, 113, 190, 114)(51, 116, 142, 65)(53, 120, 139, 64)(55, 123, 137, 125)(58, 128, 112, 129)(59, 130, 198, 131)(60, 83, 121, 133)(69, 147, 181, 148)(72, 150, 102, 151)(76, 157, 160, 153)(78, 136, 106, 124)(81, 162, 215, 163)(85, 167, 214, 168)(87, 170, 176, 171)(88, 172, 100, 165)(90, 173, 192, 174)(93, 159, 183, 177)(96, 178, 145, 179)(105, 155, 180, 184)(109, 187, 191, 115)(111, 188, 182, 189)(117, 193, 164, 194)(119, 195, 132, 196)(122, 199, 169, 197)(126, 202, 161, 203)(127, 201, 206, 204)(135, 140, 205, 207)(138, 208, 216, 209)(141, 200, 166, 149)(143, 210, 213, 211)(146, 158, 186, 212)(217, 219, 226, 245, 232, 221)(218, 223, 236, 269, 240, 224)(220, 228, 250, 301, 253, 229)(222, 233, 261, 325, 265, 234)(225, 242, 281, 357, 285, 243)(227, 247, 294, 329, 297, 248)(230, 255, 312, 263, 316, 256)(231, 257, 318, 333, 267, 235)(237, 271, 340, 307, 342, 272)(238, 274, 306, 252, 305, 275)(239, 276, 348, 397, 317, 260)(241, 279, 354, 389, 356, 280)(244, 287, 308, 392, 349, 288)(246, 291, 372, 421, 345, 292)(249, 264, 284, 362, 380, 299)(251, 303, 352, 277, 351, 304)(254, 309, 346, 418, 384, 310)(258, 321, 328, 262, 327, 322)(259, 323, 360, 335, 268, 311)(266, 282, 359, 314, 378, 331)(270, 337, 414, 431, 388, 338)(273, 343, 394, 371, 290, 298)(278, 353, 358, 402, 324, 344)(283, 361, 377, 296, 376, 326)(286, 336, 413, 419, 420, 365)(289, 369, 379, 393, 428, 370)(293, 355, 367, 404, 430, 374)(295, 375, 315, 363, 422, 350)(300, 381, 330, 398, 319, 382)(302, 332, 408, 396, 313, 385)(320, 387, 426, 390, 410, 399)(334, 403, 373, 400, 425, 366)(339, 407, 412, 386, 368, 416)(341, 417, 347, 409, 432, 406)(364, 429, 391, 405, 424, 395)(383, 415, 423, 427, 411, 401)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 6^4 ), ( 6^6 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 90 e = 216 f = 72
	degree seq :: [ 4^54, 6^36 ]

E28.2997 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 4, 6})
Quotient :: edge
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
|r| :: 1
Presentation :: [ X2^3, (X1 * X2^-1)^3, X1^6, (X1^-1 * X2^-1)^4, (X1^-1 * X2^-1)^4, X2^-1 * X1^-1 * X2 * X1 * X2 * X1^-2 * X2^-1 * X1^2, X1^-3 * X2 * X1 * X2^-1 * X1^-1 * X2^-1 * X1^-2 * X2^-1, X1 * X2 * X1^-3 * X2 * X1^2 * X2 * X1^2 * X2^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 6, 16, 12, 4)(3, 9, 23, 54, 26, 10)(5, 14, 34, 76, 37, 15)(7, 19, 45, 98, 48, 20)(8, 21, 50, 107, 52, 22)(11, 28, 64, 131, 67, 29)(13, 32, 72, 145, 75, 33)(17, 41, 89, 168, 92, 42)(18, 43, 94, 173, 96, 44)(24, 57, 119, 182, 103, 58)(25, 36, 81, 156, 122, 59)(27, 62, 128, 149, 130, 63)(30, 68, 137, 206, 140, 69)(31, 70, 141, 120, 144, 71)(35, 79, 155, 183, 104, 80)(38, 84, 161, 170, 101, 46)(39, 85, 123, 199, 163, 86)(40, 87, 164, 200, 166, 88)(47, 51, 110, 187, 181, 102)(49, 105, 160, 83, 159, 106)(53, 113, 191, 209, 150, 90)(55, 116, 165, 100, 180, 117)(56, 118, 196, 132, 91, 95)(60, 124, 65, 133, 175, 125)(61, 126, 73, 147, 177, 127)(66, 74, 121, 185, 203, 134)(77, 152, 210, 197, 148, 153)(78, 154, 207, 184, 162, 97)(82, 157, 108, 186, 214, 158)(93, 171, 190, 112, 189, 172)(99, 139, 143, 169, 151, 179)(109, 129, 135, 204, 138, 167)(111, 188, 174, 208, 195, 146)(114, 176, 136, 205, 142, 192)(115, 193, 212, 213, 215, 194)(178, 211, 201, 198, 202, 216)(217, 219, 221)(218, 223, 224)(220, 227, 229)(222, 233, 234)(225, 240, 241)(226, 237, 243)(228, 246, 247)(230, 251, 245)(231, 252, 254)(232, 255, 256)(235, 262, 263)(236, 259, 265)(238, 267, 269)(239, 271, 272)(242, 276, 277)(244, 281, 282)(248, 289, 285)(249, 290, 273)(250, 293, 294)(253, 298, 299)(257, 306, 307)(258, 303, 309)(260, 311, 313)(261, 315, 316)(264, 319, 320)(266, 324, 325)(268, 327, 328)(270, 330, 331)(274, 334, 336)(275, 337, 339)(278, 322, 341)(279, 345, 295)(280, 348, 326)(283, 351, 352)(284, 354, 355)(286, 358, 302)(287, 359, 349)(288, 362, 329)(291, 364, 365)(292, 366, 367)(296, 370, 363)(297, 353, 318)(300, 357, 374)(301, 378, 332)(304, 381, 383)(305, 350, 385)(308, 386, 346)(310, 390, 391)(312, 368, 392)(314, 393, 394)(317, 396, 361)(321, 388, 398)(323, 400, 401)(333, 409, 411)(335, 380, 413)(338, 414, 404)(340, 403, 416)(342, 407, 408)(343, 382, 402)(344, 417, 415)(347, 406, 418)(356, 423, 405)(360, 424, 399)(369, 395, 427)(371, 428, 384)(372, 389, 420)(373, 419, 429)(375, 379, 425)(376, 431, 422)(377, 387, 421)(397, 410, 426)(412, 432, 430)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 8^3 ), ( 8^6 ) }
Outer automorphisms :: chiral
Dual of E28.2999
Transitivity :: ET+
Graph:: simple bipartite
	v = 108 e = 216 f = 54
	degree seq :: [ 3^72, 6^36 ]

E28.2998 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 4, 6})
Quotient :: loop
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
|r| :: 1
Presentation :: [ X1^3, X2^4, (X2 * X1^-1)^3, (X1 * X2^-1)^3, (X1 * X2^-1)^3, X2^-1 * X1^-1 * X2 * X1 * X2^-2 * X1^-1 * X2^-2 * X1^-1 * X2^-1 * X1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 217, 2, 218, 4, 220)(3, 219, 8, 224, 10, 226)(5, 221, 13, 229, 14, 230)(6, 222, 15, 231, 17, 233)(7, 223, 18, 234, 19, 235)(9, 225, 22, 238, 23, 239)(11, 227, 25, 241, 27, 243)(12, 228, 28, 244, 29, 245)(16, 232, 35, 251, 36, 252)(20, 236, 41, 257, 43, 259)(21, 237, 44, 260, 45, 261)(24, 240, 49, 265, 50, 266)(26, 242, 53, 269, 54, 270)(30, 246, 59, 275, 60, 276)(31, 247, 61, 277, 47, 263)(32, 248, 63, 279, 64, 280)(33, 249, 65, 281, 67, 283)(34, 250, 68, 284, 69, 285)(37, 253, 73, 289, 74, 290)(38, 254, 75, 291, 76, 292)(39, 255, 77, 293, 71, 287)(40, 256, 79, 295, 80, 296)(42, 258, 83, 299, 84, 300)(46, 262, 89, 305, 91, 307)(48, 264, 92, 308, 93, 309)(51, 267, 97, 313, 99, 315)(52, 268, 100, 316, 101, 317)(55, 271, 105, 321, 106, 322)(56, 272, 107, 323, 108, 324)(57, 273, 109, 325, 103, 319)(58, 274, 111, 327, 112, 328)(62, 278, 118, 334, 119, 335)(66, 282, 125, 341, 126, 342)(70, 286, 131, 347, 133, 349)(72, 288, 134, 350, 135, 351)(78, 294, 144, 360, 145, 361)(81, 297, 149, 365, 151, 367)(82, 298, 124, 340, 152, 368)(85, 301, 155, 371, 156, 372)(86, 302, 157, 373, 158, 374)(87, 303, 159, 375, 154, 370)(88, 304, 161, 377, 162, 378)(90, 306, 165, 381, 166, 382)(94, 310, 170, 386, 171, 387)(95, 311, 172, 388, 140, 356)(96, 312, 138, 354, 174, 390)(98, 314, 176, 392, 150, 366)(102, 318, 181, 397, 183, 399)(104, 320, 184, 400, 168, 384)(110, 326, 189, 405, 190, 406)(113, 329, 128, 344, 193, 409)(114, 330, 186, 402, 194, 410)(115, 331, 195, 411, 191, 407)(116, 332, 129, 345, 196, 412)(117, 333, 197, 413, 198, 414)(120, 336, 141, 357, 201, 417)(121, 337, 132, 348, 200, 416)(122, 338, 203, 419, 123, 339)(127, 343, 204, 420, 167, 383)(130, 346, 192, 408, 160, 376)(136, 352, 163, 379, 208, 424)(137, 353, 199, 415, 187, 403)(139, 355, 178, 394, 210, 426)(142, 358, 179, 395, 211, 427)(143, 359, 164, 380, 212, 428)(146, 362, 188, 404, 214, 430)(147, 363, 182, 398, 213, 429)(148, 364, 215, 431, 175, 391)(153, 369, 207, 423, 202, 418)(169, 385, 177, 393, 216, 432)(173, 389, 185, 401, 206, 422)(180, 396, 209, 425, 205, 421)
	L = (1, 219)(2, 222)(3, 225)(4, 227)(5, 217)(6, 232)(7, 218)(8, 236)(9, 221)(10, 234)(11, 242)(12, 220)(13, 246)(14, 247)(15, 249)(16, 223)(17, 244)(18, 254)(19, 255)(20, 258)(21, 224)(22, 262)(23, 260)(24, 226)(25, 267)(26, 228)(27, 229)(28, 272)(29, 273)(30, 271)(31, 278)(32, 230)(33, 282)(34, 231)(35, 286)(36, 284)(37, 233)(38, 240)(39, 294)(40, 235)(41, 297)(42, 237)(43, 265)(44, 302)(45, 303)(46, 306)(47, 238)(48, 239)(49, 310)(50, 311)(51, 314)(52, 241)(53, 318)(54, 316)(55, 243)(56, 253)(57, 326)(58, 245)(59, 329)(60, 279)(61, 332)(62, 248)(63, 336)(64, 337)(65, 339)(66, 250)(67, 289)(68, 344)(69, 345)(70, 348)(71, 251)(72, 252)(73, 352)(74, 353)(75, 355)(76, 295)(77, 358)(78, 256)(79, 362)(80, 363)(81, 366)(82, 257)(83, 369)(84, 340)(85, 259)(86, 264)(87, 376)(88, 261)(89, 379)(90, 263)(91, 308)(92, 384)(93, 385)(94, 301)(95, 389)(96, 266)(97, 391)(98, 268)(99, 321)(100, 394)(101, 395)(102, 398)(103, 269)(104, 270)(105, 401)(106, 402)(107, 374)(108, 327)(109, 370)(110, 274)(111, 407)(112, 382)(113, 408)(114, 275)(115, 276)(116, 341)(117, 277)(118, 415)(119, 413)(120, 331)(121, 418)(122, 280)(123, 300)(124, 281)(125, 333)(126, 368)(127, 283)(128, 288)(129, 421)(130, 285)(131, 422)(132, 287)(133, 350)(134, 309)(135, 372)(136, 343)(137, 387)(138, 290)(139, 425)(140, 291)(141, 292)(142, 392)(143, 293)(144, 410)(145, 380)(146, 357)(147, 414)(148, 296)(149, 328)(150, 298)(151, 371)(152, 313)(153, 325)(154, 299)(155, 409)(156, 399)(157, 430)(158, 377)(159, 429)(160, 304)(161, 403)(162, 396)(163, 361)(164, 305)(165, 405)(166, 428)(167, 307)(168, 383)(169, 349)(170, 335)(171, 354)(172, 412)(173, 312)(174, 322)(175, 342)(176, 359)(177, 315)(178, 320)(179, 378)(180, 317)(181, 386)(182, 319)(183, 400)(184, 351)(185, 393)(186, 424)(187, 323)(188, 324)(189, 388)(190, 423)(191, 404)(192, 330)(193, 411)(194, 375)(195, 367)(196, 381)(197, 397)(198, 364)(199, 427)(200, 334)(201, 419)(202, 338)(203, 420)(204, 426)(205, 346)(206, 406)(207, 347)(208, 390)(209, 356)(210, 417)(211, 416)(212, 365)(213, 360)(214, 431)(215, 432)(216, 373)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: simple
	v = 72 e = 216 f = 90
	degree seq :: [ 6^72 ]

E28.2999 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 4, 6})
Quotient :: loop
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
|r| :: 1
Presentation :: [ X1^4, X1^4, (X2 * X1)^3, X2^6, (X1^-1 * X2^-2)^3, (X1^-2 * X2)^3, X1 * X2 * X1^-1 * X2^-1 * X1^-2 * X2^-1 * X1^-1 * X2, X2^2 * X1^-1 * X2 * X1^-2 * X2^-1 * X1 * X2, X1 * X2^-3 * X1 * X2^-1 * X1^2 * X2^-2, X2^2 * X1^-1 * X2^-2 * X1 * X2^-1 * X1^-1 * X2 * X1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 217, 2, 218, 6, 222, 4, 220)(3, 219, 9, 225, 25, 241, 11, 227)(5, 221, 14, 230, 38, 254, 15, 231)(7, 223, 19, 235, 50, 266, 21, 237)(8, 224, 22, 238, 57, 273, 23, 239)(10, 226, 28, 244, 70, 286, 30, 246)(12, 228, 33, 249, 82, 298, 35, 251)(13, 229, 36, 252, 66, 282, 26, 242)(16, 232, 42, 258, 104, 320, 43, 259)(17, 233, 44, 260, 94, 310, 46, 262)(18, 234, 47, 263, 63, 279, 48, 264)(20, 236, 52, 268, 118, 334, 54, 270)(24, 240, 61, 277, 134, 350, 62, 278)(27, 243, 67, 283, 144, 360, 68, 284)(29, 245, 73, 289, 152, 368, 74, 290)(31, 247, 77, 293, 107, 323, 79, 295)(32, 248, 80, 296, 89, 305, 71, 287)(34, 250, 84, 300, 154, 370, 86, 302)(37, 253, 91, 307, 175, 391, 92, 308)(39, 255, 95, 311, 56, 272, 97, 313)(40, 256, 98, 314, 156, 372, 99, 315)(41, 257, 101, 317, 75, 291, 103, 319)(45, 261, 108, 324, 185, 401, 110, 326)(49, 265, 113, 329, 190, 406, 114, 330)(51, 267, 116, 332, 142, 358, 65, 281)(53, 269, 120, 336, 139, 355, 64, 280)(55, 271, 123, 339, 137, 353, 125, 341)(58, 274, 128, 344, 112, 328, 129, 345)(59, 275, 130, 346, 198, 414, 131, 347)(60, 276, 83, 299, 121, 337, 133, 349)(69, 285, 147, 363, 181, 397, 148, 364)(72, 288, 150, 366, 102, 318, 151, 367)(76, 292, 157, 373, 160, 376, 153, 369)(78, 294, 136, 352, 106, 322, 124, 340)(81, 297, 162, 378, 215, 431, 163, 379)(85, 301, 167, 383, 214, 430, 168, 384)(87, 303, 170, 386, 176, 392, 171, 387)(88, 304, 172, 388, 100, 316, 165, 381)(90, 306, 173, 389, 192, 408, 174, 390)(93, 309, 159, 375, 183, 399, 177, 393)(96, 312, 178, 394, 145, 361, 179, 395)(105, 321, 155, 371, 180, 396, 184, 400)(109, 325, 187, 403, 191, 407, 115, 331)(111, 327, 188, 404, 182, 398, 189, 405)(117, 333, 193, 409, 164, 380, 194, 410)(119, 335, 195, 411, 132, 348, 196, 412)(122, 338, 199, 415, 169, 385, 197, 413)(126, 342, 202, 418, 161, 377, 203, 419)(127, 343, 201, 417, 206, 422, 204, 420)(135, 351, 140, 356, 205, 421, 207, 423)(138, 354, 208, 424, 216, 432, 209, 425)(141, 357, 200, 416, 166, 382, 149, 365)(143, 359, 210, 426, 213, 429, 211, 427)(146, 362, 158, 374, 186, 402, 212, 428)
	L = (1, 219)(2, 223)(3, 226)(4, 228)(5, 217)(6, 233)(7, 236)(8, 218)(9, 242)(10, 245)(11, 247)(12, 250)(13, 220)(14, 255)(15, 257)(16, 221)(17, 261)(18, 222)(19, 231)(20, 269)(21, 271)(22, 274)(23, 276)(24, 224)(25, 279)(26, 281)(27, 225)(28, 287)(29, 232)(30, 291)(31, 294)(32, 227)(33, 264)(34, 301)(35, 303)(36, 305)(37, 229)(38, 309)(39, 312)(40, 230)(41, 318)(42, 321)(43, 323)(44, 239)(45, 325)(46, 327)(47, 316)(48, 284)(49, 234)(50, 282)(51, 235)(52, 311)(53, 240)(54, 337)(55, 340)(56, 237)(57, 343)(58, 306)(59, 238)(60, 348)(61, 351)(62, 353)(63, 354)(64, 241)(65, 357)(66, 359)(67, 361)(68, 362)(69, 243)(70, 336)(71, 308)(72, 244)(73, 369)(74, 298)(75, 372)(76, 246)(77, 355)(78, 329)(79, 375)(80, 376)(81, 248)(82, 273)(83, 249)(84, 381)(85, 253)(86, 332)(87, 352)(88, 251)(89, 275)(90, 252)(91, 342)(92, 392)(93, 346)(94, 254)(95, 259)(96, 263)(97, 385)(98, 378)(99, 363)(100, 256)(101, 260)(102, 333)(103, 382)(104, 387)(105, 328)(106, 258)(107, 360)(108, 344)(109, 265)(110, 283)(111, 322)(112, 262)(113, 297)(114, 398)(115, 266)(116, 408)(117, 267)(118, 403)(119, 268)(120, 413)(121, 414)(122, 270)(123, 407)(124, 307)(125, 417)(126, 272)(127, 394)(128, 278)(129, 292)(130, 418)(131, 409)(132, 397)(133, 288)(134, 295)(135, 304)(136, 277)(137, 358)(138, 389)(139, 367)(140, 280)(141, 285)(142, 402)(143, 314)(144, 335)(145, 377)(146, 380)(147, 422)(148, 429)(149, 286)(150, 334)(151, 404)(152, 416)(153, 379)(154, 289)(155, 290)(156, 421)(157, 400)(158, 293)(159, 315)(160, 326)(161, 296)(162, 331)(163, 393)(164, 299)(165, 330)(166, 300)(167, 415)(168, 310)(169, 302)(170, 368)(171, 426)(172, 338)(173, 356)(174, 410)(175, 405)(176, 349)(177, 428)(178, 371)(179, 364)(180, 313)(181, 317)(182, 319)(183, 320)(184, 425)(185, 383)(186, 324)(187, 373)(188, 430)(189, 424)(190, 341)(191, 412)(192, 396)(193, 432)(194, 399)(195, 401)(196, 386)(197, 419)(198, 431)(199, 423)(200, 339)(201, 347)(202, 384)(203, 420)(204, 365)(205, 345)(206, 350)(207, 427)(208, 395)(209, 366)(210, 390)(211, 411)(212, 370)(213, 391)(214, 374)(215, 388)(216, 406)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: chiral
Dual of E28.2997
Transitivity :: ET+ VT+
Graph:: simple
	v = 54 e = 216 f = 108
	degree seq :: [ 8^54 ]

E28.3000 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 4, 6})
Quotient :: loop
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
|r| :: 1
Presentation :: [ X2^3, (X1 * X2^-1)^3, X1^6, (X1^-1 * X2^-1)^4, (X1^-1 * X2^-1)^4, X2^-1 * X1^-1 * X2 * X1 * X2 * X1^-2 * X2^-1 * X1^2, X1^-3 * X2 * X1 * X2^-1 * X1^-1 * X2^-1 * X1^-2 * X2^-1, X1 * X2 * X1^-3 * X2 * X1^2 * X2 * X1^2 * X2^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 217, 2, 218, 6, 222, 16, 232, 12, 228, 4, 220)(3, 219, 9, 225, 23, 239, 54, 270, 26, 242, 10, 226)(5, 221, 14, 230, 34, 250, 76, 292, 37, 253, 15, 231)(7, 223, 19, 235, 45, 261, 98, 314, 48, 264, 20, 236)(8, 224, 21, 237, 50, 266, 107, 323, 52, 268, 22, 238)(11, 227, 28, 244, 64, 280, 131, 347, 67, 283, 29, 245)(13, 229, 32, 248, 72, 288, 145, 361, 75, 291, 33, 249)(17, 233, 41, 257, 89, 305, 168, 384, 92, 308, 42, 258)(18, 234, 43, 259, 94, 310, 173, 389, 96, 312, 44, 260)(24, 240, 57, 273, 119, 335, 182, 398, 103, 319, 58, 274)(25, 241, 36, 252, 81, 297, 156, 372, 122, 338, 59, 275)(27, 243, 62, 278, 128, 344, 149, 365, 130, 346, 63, 279)(30, 246, 68, 284, 137, 353, 206, 422, 140, 356, 69, 285)(31, 247, 70, 286, 141, 357, 120, 336, 144, 360, 71, 287)(35, 251, 79, 295, 155, 371, 183, 399, 104, 320, 80, 296)(38, 254, 84, 300, 161, 377, 170, 386, 101, 317, 46, 262)(39, 255, 85, 301, 123, 339, 199, 415, 163, 379, 86, 302)(40, 256, 87, 303, 164, 380, 200, 416, 166, 382, 88, 304)(47, 263, 51, 267, 110, 326, 187, 403, 181, 397, 102, 318)(49, 265, 105, 321, 160, 376, 83, 299, 159, 375, 106, 322)(53, 269, 113, 329, 191, 407, 209, 425, 150, 366, 90, 306)(55, 271, 116, 332, 165, 381, 100, 316, 180, 396, 117, 333)(56, 272, 118, 334, 196, 412, 132, 348, 91, 307, 95, 311)(60, 276, 124, 340, 65, 281, 133, 349, 175, 391, 125, 341)(61, 277, 126, 342, 73, 289, 147, 363, 177, 393, 127, 343)(66, 282, 74, 290, 121, 337, 185, 401, 203, 419, 134, 350)(77, 293, 152, 368, 210, 426, 197, 413, 148, 364, 153, 369)(78, 294, 154, 370, 207, 423, 184, 400, 162, 378, 97, 313)(82, 298, 157, 373, 108, 324, 186, 402, 214, 430, 158, 374)(93, 309, 171, 387, 190, 406, 112, 328, 189, 405, 172, 388)(99, 315, 139, 355, 143, 359, 169, 385, 151, 367, 179, 395)(109, 325, 129, 345, 135, 351, 204, 420, 138, 354, 167, 383)(111, 327, 188, 404, 174, 390, 208, 424, 195, 411, 146, 362)(114, 330, 176, 392, 136, 352, 205, 421, 142, 358, 192, 408)(115, 331, 193, 409, 212, 428, 213, 429, 215, 431, 194, 410)(178, 394, 211, 427, 201, 417, 198, 414, 202, 418, 216, 432)
	L = (1, 219)(2, 223)(3, 221)(4, 227)(5, 217)(6, 233)(7, 224)(8, 218)(9, 240)(10, 237)(11, 229)(12, 246)(13, 220)(14, 251)(15, 252)(16, 255)(17, 234)(18, 222)(19, 262)(20, 259)(21, 243)(22, 267)(23, 271)(24, 241)(25, 225)(26, 276)(27, 226)(28, 281)(29, 230)(30, 247)(31, 228)(32, 289)(33, 290)(34, 293)(35, 245)(36, 254)(37, 298)(38, 231)(39, 256)(40, 232)(41, 306)(42, 303)(43, 265)(44, 311)(45, 315)(46, 263)(47, 235)(48, 319)(49, 236)(50, 324)(51, 269)(52, 327)(53, 238)(54, 330)(55, 272)(56, 239)(57, 249)(58, 334)(59, 337)(60, 277)(61, 242)(62, 322)(63, 345)(64, 348)(65, 282)(66, 244)(67, 351)(68, 354)(69, 248)(70, 358)(71, 359)(72, 362)(73, 285)(74, 273)(75, 364)(76, 366)(77, 294)(78, 250)(79, 279)(80, 370)(81, 353)(82, 299)(83, 253)(84, 357)(85, 378)(86, 286)(87, 309)(88, 381)(89, 350)(90, 307)(91, 257)(92, 386)(93, 258)(94, 390)(95, 313)(96, 368)(97, 260)(98, 393)(99, 316)(100, 261)(101, 396)(102, 297)(103, 320)(104, 264)(105, 388)(106, 341)(107, 400)(108, 325)(109, 266)(110, 280)(111, 328)(112, 268)(113, 288)(114, 331)(115, 270)(116, 301)(117, 409)(118, 336)(119, 380)(120, 274)(121, 339)(122, 414)(123, 275)(124, 403)(125, 278)(126, 407)(127, 382)(128, 417)(129, 295)(130, 308)(131, 406)(132, 326)(133, 287)(134, 385)(135, 352)(136, 283)(137, 318)(138, 355)(139, 284)(140, 423)(141, 374)(142, 302)(143, 349)(144, 424)(145, 317)(146, 329)(147, 296)(148, 365)(149, 291)(150, 367)(151, 292)(152, 392)(153, 395)(154, 363)(155, 428)(156, 389)(157, 419)(158, 300)(159, 379)(160, 431)(161, 387)(162, 332)(163, 425)(164, 413)(165, 383)(166, 402)(167, 304)(168, 371)(169, 305)(170, 346)(171, 421)(172, 398)(173, 420)(174, 391)(175, 310)(176, 312)(177, 394)(178, 314)(179, 427)(180, 361)(181, 410)(182, 321)(183, 360)(184, 401)(185, 323)(186, 343)(187, 416)(188, 338)(189, 356)(190, 418)(191, 408)(192, 342)(193, 411)(194, 426)(195, 333)(196, 432)(197, 335)(198, 404)(199, 344)(200, 340)(201, 415)(202, 347)(203, 429)(204, 372)(205, 377)(206, 376)(207, 405)(208, 399)(209, 375)(210, 397)(211, 369)(212, 384)(213, 373)(214, 412)(215, 422)(216, 430)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: simple
	v = 36 e = 216 f = 126
	degree seq :: [ 12^36 ]

E28.3001 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 6})
Quotient :: edge
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^4, (F * T2)^2, (F * T1)^2, (T1 * T2^-1)^3, T2^2 * T1 * T2^-1 * T1^-2 * T2^-1 * T1 * T2, T2^-1 * T1^-1 * T2^-1 * T1 * T2 * T1 * T2^2 * T1 * T2 * T1, T2^-1 * T1 * T2 * T1 * T2^-2 * T1 * T2 * T1 * T2^-1 * T1^-1, T2^-2 * T1 * T2^2 * T1 * T2^-2 * T1^-1 * T2^-2 * T1^-1, (T2^-1 * T1^-1)^6 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 9, 5)(2, 6, 16, 7)(4, 11, 26, 12)(8, 20, 42, 21)(10, 18, 38, 24)(13, 30, 55, 27)(14, 31, 62, 32)(15, 33, 66, 34)(17, 28, 56, 37)(19, 39, 78, 40)(22, 46, 90, 47)(23, 44, 86, 48)(25, 51, 98, 52)(29, 57, 110, 58)(35, 70, 129, 71)(36, 68, 127, 72)(41, 81, 144, 82)(43, 49, 94, 85)(45, 87, 151, 88)(50, 95, 107, 96)(53, 102, 154, 103)(54, 100, 149, 104)(59, 113, 74, 114)(60, 63, 120, 115)(61, 116, 173, 117)(64, 121, 175, 122)(65, 123, 177, 124)(67, 73, 133, 126)(69, 128, 157, 93)(75, 134, 106, 135)(76, 79, 119, 136)(77, 137, 185, 138)(80, 141, 187, 142)(83, 99, 105, 147)(84, 146, 118, 148)(89, 153, 167, 109)(91, 92, 156, 155)(97, 161, 200, 162)(101, 164, 181, 132)(108, 111, 140, 166)(112, 169, 188, 143)(125, 178, 139, 145)(130, 131, 180, 179)(150, 183, 210, 190)(152, 193, 202, 165)(158, 159, 192, 199)(160, 186, 214, 194)(163, 201, 168, 176)(170, 198, 211, 182)(171, 172, 204, 203)(174, 206, 212, 184)(189, 215, 191, 195)(196, 197, 205, 207)(208, 209, 213, 216)(217, 218, 220)(219, 224, 226)(221, 229, 230)(222, 231, 233)(223, 234, 235)(225, 238, 239)(227, 241, 243)(228, 244, 245)(232, 251, 252)(236, 257, 259)(237, 260, 261)(240, 265, 266)(242, 269, 270)(246, 275, 276)(247, 277, 263)(248, 279, 280)(249, 281, 283)(250, 284, 285)(253, 289, 290)(254, 291, 292)(255, 293, 287)(256, 295, 296)(258, 299, 300)(262, 305, 307)(264, 308, 309)(267, 313, 315)(268, 316, 317)(271, 321, 322)(272, 323, 324)(273, 325, 319)(274, 327, 328)(278, 334, 335)(282, 301, 341)(286, 332, 346)(288, 347, 348)(294, 355, 356)(297, 359, 361)(298, 362, 337)(302, 343, 365)(303, 366, 363)(304, 320, 368)(306, 345, 370)(310, 344, 374)(311, 330, 351)(312, 375, 376)(314, 342, 379)(318, 353, 381)(326, 384, 336)(329, 386, 387)(331, 388, 383)(333, 352, 390)(338, 392, 339)(340, 394, 357)(349, 380, 398)(350, 399, 400)(354, 382, 402)(358, 364, 377)(360, 371, 405)(367, 407, 408)(369, 410, 411)(372, 391, 412)(373, 413, 414)(378, 417, 385)(389, 419, 421)(393, 395, 423)(396, 403, 424)(397, 425, 426)(401, 428, 429)(404, 431, 409)(406, 415, 427)(416, 418, 432)(420, 422, 430)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 12^3 ), ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E28.3010
Transitivity :: ET+
Graph:: simple bipartite
	v = 126 e = 216 f = 36
	degree seq :: [ 3^72, 4^54 ]

E28.3002 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 6})
Quotient :: edge
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^4, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^3, T2 * T1^-1 * T2^-1 * T1^-1 * T2^2 * T1 * T2 * T1 * T2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 5)(2, 6, 16, 7)(4, 11, 26, 12)(8, 20, 42, 21)(10, 18, 38, 24)(13, 30, 55, 27)(14, 31, 62, 32)(15, 33, 66, 34)(17, 28, 56, 37)(19, 39, 78, 40)(22, 46, 89, 47)(23, 44, 86, 48)(25, 51, 97, 52)(29, 57, 92, 58)(35, 70, 121, 71)(36, 68, 118, 72)(41, 81, 59, 82)(43, 49, 93, 85)(45, 87, 141, 88)(50, 94, 64, 95)(53, 84, 133, 101)(54, 99, 154, 102)(60, 63, 114, 110)(61, 111, 165, 112)(65, 115, 75, 116)(67, 73, 123, 117)(69, 119, 174, 120)(74, 124, 80, 125)(76, 79, 130, 126)(77, 127, 147, 128)(83, 129, 186, 135)(90, 91, 146, 145)(96, 151, 105, 152)(98, 103, 157, 153)(100, 155, 163, 156)(104, 131, 109, 138)(106, 108, 161, 158)(107, 159, 179, 160)(113, 167, 178, 122)(132, 136, 192, 190)(134, 162, 207, 191)(137, 184, 143, 188)(139, 142, 196, 193)(140, 194, 197, 195)(144, 183, 208, 166)(148, 150, 175, 198)(149, 171, 211, 170)(164, 203, 169, 200)(168, 209, 173, 210)(172, 205, 176, 206)(177, 204, 213, 185)(180, 182, 202, 212)(181, 199, 216, 189)(187, 214, 201, 215)(217, 218, 220)(219, 224, 226)(221, 229, 230)(222, 231, 233)(223, 234, 235)(225, 238, 239)(227, 241, 243)(228, 244, 245)(232, 251, 252)(236, 257, 259)(237, 260, 261)(240, 265, 266)(242, 269, 270)(246, 275, 276)(247, 277, 263)(248, 279, 280)(249, 281, 283)(250, 284, 285)(253, 289, 290)(254, 291, 292)(255, 293, 287)(256, 295, 296)(258, 299, 300)(262, 282, 306)(264, 307, 308)(267, 312, 314)(268, 315, 316)(271, 319, 320)(272, 321, 322)(273, 323, 317)(274, 324, 325)(278, 288, 329)(286, 313, 338)(294, 318, 345)(297, 347, 348)(298, 349, 350)(301, 352, 353)(302, 354, 355)(303, 356, 351)(304, 358, 359)(305, 360, 332)(309, 363, 364)(310, 365, 331)(311, 366, 334)(326, 378, 379)(327, 380, 382)(328, 383, 384)(330, 385, 386)(333, 387, 388)(335, 389, 361)(336, 391, 392)(337, 393, 368)(339, 395, 396)(340, 397, 367)(341, 398, 370)(342, 399, 357)(343, 400, 401)(344, 402, 403)(346, 404, 405)(362, 413, 376)(369, 415, 416)(371, 417, 394)(372, 418, 419)(373, 381, 409)(374, 420, 390)(375, 421, 407)(377, 422, 406)(408, 427, 432)(410, 426, 431)(411, 424, 428)(412, 425, 429)(414, 430, 423)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 12^3 ), ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E28.3009
Transitivity :: ET+
Graph:: simple bipartite
	v = 126 e = 216 f = 36
	degree seq :: [ 3^72, 4^54 ]

E28.3003 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 6})
Quotient :: edge
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, (T2^-1 * T1^-1)^3, T2^6, T1 * T2^2 * T1^-2 * T2^-2 * T1, T1 * T2^-2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1, (T1^-1 * T2^-2)^3, T1 * T2^-1 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1, (T2 * T1^-1)^6 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 10, 29, 16, 5)(2, 7, 20, 53, 24, 8)(4, 12, 34, 83, 37, 13)(6, 17, 45, 101, 49, 18)(9, 26, 65, 127, 69, 27)(11, 31, 77, 145, 80, 32)(14, 39, 90, 161, 94, 40)(15, 41, 96, 107, 51, 19)(21, 55, 113, 165, 115, 56)(22, 58, 116, 169, 97, 59)(23, 60, 120, 168, 95, 44)(25, 63, 124, 88, 38, 64)(28, 70, 61, 122, 136, 71)(30, 74, 62, 123, 142, 75)(33, 48, 68, 131, 150, 82)(35, 84, 67, 130, 156, 85)(36, 86, 157, 143, 129, 87)(42, 98, 170, 111, 54, 99)(43, 100, 173, 108, 52, 89)(46, 102, 149, 192, 176, 103)(47, 104, 177, 195, 121, 105)(50, 66, 128, 81, 57, 106)(72, 137, 132, 201, 162, 138)(73, 139, 133, 202, 160, 140)(76, 126, 135, 203, 205, 144)(78, 146, 134, 174, 166, 92)(79, 147, 191, 117, 190, 148)(91, 163, 210, 155, 209, 164)(93, 167, 213, 200, 172, 125)(109, 183, 179, 215, 189, 153)(110, 159, 180, 212, 188, 184)(112, 151, 182, 207, 206, 186)(114, 187, 181, 198, 193, 118)(119, 194, 216, 199, 197, 152)(141, 171, 214, 178, 175, 204)(154, 208, 185, 196, 211, 158)(217, 218, 222, 220)(219, 225, 241, 227)(221, 230, 254, 231)(223, 235, 266, 237)(224, 238, 273, 239)(226, 244, 261, 246)(228, 249, 297, 251)(229, 252, 282, 242)(232, 258, 265, 259)(233, 260, 304, 262)(234, 263, 279, 264)(236, 268, 250, 270)(240, 277, 253, 278)(243, 283, 345, 284)(245, 288, 340, 289)(247, 292, 359, 294)(248, 295, 302, 286)(255, 305, 272, 307)(256, 308, 381, 309)(257, 311, 329, 313)(267, 293, 310, 281)(269, 325, 344, 326)(271, 328, 377, 330)(274, 290, 319, 333)(275, 334, 408, 335)(276, 298, 365, 337)(280, 341, 317, 342)(285, 348, 296, 349)(287, 350, 406, 351)(291, 357, 363, 353)(299, 367, 322, 368)(300, 369, 411, 370)(301, 371, 320, 315)(303, 374, 361, 375)(306, 376, 312, 378)(314, 356, 380, 387)(316, 388, 426, 390)(318, 354, 385, 391)(321, 394, 346, 355)(323, 395, 331, 396)(324, 397, 425, 398)(327, 401, 379, 399)(332, 404, 336, 405)(338, 400, 407, 412)(339, 413, 364, 414)(343, 402, 373, 415)(347, 360, 393, 416)(352, 386, 358, 389)(362, 422, 429, 409)(366, 423, 372, 410)(382, 424, 421, 428)(383, 384, 419, 392)(403, 417, 432, 430)(418, 427, 420, 431)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 6^4 ), ( 6^6 ) }
Outer automorphisms :: reflexible
Dual of E28.3012
Transitivity :: ET+
Graph:: simple bipartite
	v = 90 e = 216 f = 72
	degree seq :: [ 4^54, 6^36 ]

E28.3004 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 6})
Quotient :: edge
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T1)^2, (F * T2)^2, (T1 * T2)^3, T2^6, T2 * T1^-1 * T2^-2 * T1 * T2^-2 * T1^-1, (T1^-1 * T2^-2)^3, T1^-2 * T2^-1 * T1^2 * T2^-1 * T1^2 * T2^-1, T2 * T1^-1 * T2 * T1^-2 * T2^-1 * T1 * T2^-1 * T1^-2 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 10, 29, 16, 5)(2, 7, 20, 53, 24, 8)(4, 12, 34, 83, 37, 13)(6, 17, 45, 101, 49, 18)(9, 26, 65, 130, 69, 27)(11, 31, 77, 115, 54, 32)(14, 39, 88, 134, 67, 40)(15, 41, 97, 111, 51, 19)(21, 55, 117, 175, 102, 56)(22, 58, 42, 99, 110, 59)(23, 60, 124, 167, 96, 44)(25, 63, 127, 190, 129, 64)(28, 71, 89, 100, 120, 62)(30, 74, 35, 85, 131, 75)(33, 48, 68, 135, 154, 81)(36, 86, 107, 177, 153, 87)(38, 90, 161, 203, 162, 91)(43, 82, 145, 108, 52, 92)(46, 103, 133, 158, 84, 104)(47, 105, 61, 126, 148, 106)(50, 66, 132, 194, 179, 109)(57, 119, 168, 136, 152, 80)(70, 138, 123, 189, 156, 139)(72, 141, 112, 165, 94, 137)(73, 142, 78, 149, 159, 143)(76, 128, 125, 191, 174, 147)(79, 150, 193, 213, 202, 151)(93, 163, 207, 216, 206, 164)(95, 166, 173, 204, 155, 160)(98, 169, 114, 183, 118, 170)(113, 182, 172, 188, 122, 180)(116, 178, 176, 195, 157, 185)(121, 186, 212, 215, 200, 187)(140, 199, 196, 208, 184, 192)(144, 198, 197, 214, 211, 201)(146, 171, 205, 209, 210, 181)(217, 218, 222, 220)(219, 225, 241, 227)(221, 230, 254, 231)(223, 235, 266, 237)(224, 238, 273, 239)(226, 244, 286, 246)(228, 249, 296, 251)(229, 252, 282, 242)(232, 258, 314, 259)(233, 260, 307, 262)(234, 263, 279, 264)(236, 268, 328, 270)(240, 277, 341, 278)(243, 283, 349, 284)(245, 288, 356, 289)(247, 292, 319, 294)(248, 295, 302, 287)(250, 298, 371, 300)(253, 304, 375, 305)(255, 308, 272, 309)(256, 310, 322, 311)(257, 312, 364, 293)(261, 316, 388, 318)(265, 323, 392, 324)(267, 326, 347, 281)(269, 329, 397, 330)(271, 332, 301, 334)(274, 336, 320, 337)(275, 338, 303, 339)(276, 297, 369, 333)(280, 335, 354, 344)(285, 352, 413, 353)(290, 360, 321, 361)(291, 362, 366, 357)(299, 372, 421, 373)(306, 376, 386, 368)(313, 358, 416, 384)(315, 359, 380, 387)(317, 389, 424, 390)(325, 343, 381, 394)(327, 345, 409, 396)(331, 400, 379, 398)(340, 399, 427, 406)(342, 385, 403, 408)(346, 401, 422, 377)(348, 404, 365, 378)(350, 411, 367, 412)(351, 363, 418, 410)(355, 374, 415, 414)(370, 419, 428, 405)(382, 383, 395, 423)(391, 425, 402, 420)(393, 407, 417, 426)(429, 430, 431, 432)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 6^4 ), ( 6^6 ) }
Outer automorphisms :: reflexible
Dual of E28.3011
Transitivity :: ET+
Graph:: simple bipartite
	v = 90 e = 216 f = 72
	degree seq :: [ 4^54, 6^36 ]

E28.3005 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 6})
Quotient :: edge
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, (T1 * T2^-1)^3, T1^6, (T2^-1 * T1^-1)^4, T1^-2 * T2 * T1^2 * T2 * T1^-2 * T2^-1, T1^-1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2 * T1 * T2 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 5)(2, 7, 8)(4, 11, 13)(6, 17, 18)(9, 24, 25)(10, 21, 27)(12, 30, 31)(14, 35, 29)(15, 36, 38)(16, 39, 40)(19, 46, 47)(20, 43, 49)(22, 51, 53)(23, 55, 56)(26, 60, 61)(28, 65, 66)(32, 73, 69)(33, 74, 57)(34, 77, 78)(37, 82, 83)(41, 89, 90)(42, 87, 91)(44, 93, 94)(45, 96, 64)(48, 99, 72)(50, 103, 104)(52, 106, 75)(54, 108, 109)(58, 111, 114)(59, 115, 117)(62, 101, 119)(63, 122, 79)(67, 128, 129)(68, 130, 131)(70, 133, 86)(71, 134, 125)(76, 138, 139)(80, 140, 136)(81, 144, 98)(84, 147, 145)(85, 148, 149)(88, 150, 151)(92, 132, 155)(95, 158, 159)(97, 124, 162)(100, 154, 165)(102, 112, 168)(105, 170, 152)(107, 173, 171)(110, 177, 178)(113, 169, 121)(116, 172, 123)(118, 153, 181)(120, 157, 175)(126, 160, 184)(127, 185, 187)(135, 190, 191)(137, 164, 189)(141, 183, 143)(142, 186, 146)(156, 195, 197)(161, 202, 166)(163, 203, 167)(174, 188, 198)(176, 206, 200)(179, 193, 208)(180, 192, 207)(182, 210, 211)(194, 209, 215)(196, 205, 216)(199, 214, 201)(204, 212, 213)(217, 218, 222, 232, 228, 220)(219, 225, 239, 270, 242, 226)(221, 230, 250, 292, 253, 231)(223, 235, 261, 311, 264, 236)(224, 237, 266, 318, 268, 238)(227, 244, 280, 340, 283, 245)(229, 248, 288, 351, 291, 249)(233, 257, 271, 326, 293, 258)(234, 259, 308, 361, 298, 260)(240, 273, 328, 395, 329, 274)(241, 252, 297, 359, 332, 275)(243, 278, 337, 398, 339, 279)(246, 284, 272, 327, 348, 285)(247, 286, 277, 336, 299, 287)(251, 295, 357, 412, 358, 296)(254, 300, 362, 377, 313, 262)(255, 301, 312, 376, 319, 302)(256, 303, 345, 387, 322, 304)(263, 267, 321, 385, 379, 314)(265, 316, 382, 421, 383, 317)(269, 323, 388, 392, 325, 305)(276, 334, 294, 356, 371, 335)(281, 341, 354, 410, 399, 342)(282, 290, 331, 396, 402, 343)(289, 352, 408, 427, 409, 353)(306, 309, 372, 418, 415, 368)(307, 369, 416, 426, 417, 370)(310, 373, 419, 420, 375, 364)(315, 380, 320, 338, 344, 381)(324, 390, 384, 400, 360, 391)(330, 386, 407, 374, 403, 363)(333, 389, 378, 411, 355, 393)(346, 367, 406, 430, 423, 394)(347, 350, 401, 428, 424, 404)(349, 405, 429, 432, 425, 397)(365, 366, 414, 422, 431, 413)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 8^3 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E28.3007
Transitivity :: ET+
Graph:: simple bipartite
	v = 108 e = 216 f = 54
	degree seq :: [ 3^72, 6^36 ]

E28.3006 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 6})
Quotient :: edge
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, T1^6, (T2^-1 * T1)^3, (T1^-1 * T2^-1)^4, (T2^-1 * T1^-1)^4, T1 * T2 * T1^-3 * T2 * T1^2 * T2^-1 * T1, T1^3 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2, T1^2 * T2^-1 * T1^-1 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-1 * T2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 5)(2, 7, 8)(4, 11, 13)(6, 17, 18)(9, 24, 25)(10, 21, 27)(12, 30, 31)(14, 35, 29)(15, 36, 38)(16, 39, 40)(19, 46, 47)(20, 43, 49)(22, 51, 53)(23, 55, 56)(26, 60, 61)(28, 65, 66)(32, 73, 69)(33, 74, 57)(34, 77, 78)(37, 82, 83)(41, 90, 91)(42, 87, 93)(44, 95, 97)(45, 99, 100)(48, 103, 104)(50, 108, 109)(52, 111, 112)(54, 114, 115)(58, 88, 119)(59, 120, 122)(62, 106, 124)(63, 126, 79)(64, 129, 96)(67, 131, 98)(68, 113, 132)(70, 134, 86)(71, 135, 101)(72, 118, 136)(75, 89, 139)(76, 140, 94)(80, 141, 137)(81, 146, 102)(84, 149, 85)(92, 153, 154)(105, 156, 163)(107, 166, 151)(110, 169, 152)(116, 143, 173)(117, 172, 174)(121, 177, 178)(123, 144, 179)(125, 142, 159)(127, 148, 162)(128, 150, 180)(130, 183, 185)(133, 157, 188)(138, 191, 189)(145, 197, 196)(147, 198, 195)(155, 190, 202)(158, 204, 199)(160, 186, 193)(161, 205, 206)(164, 167, 194)(165, 171, 201)(168, 184, 208)(170, 209, 207)(175, 211, 187)(176, 212, 210)(181, 192, 214)(182, 213, 203)(200, 216, 215)(217, 218, 222, 232, 228, 220)(219, 225, 239, 270, 242, 226)(221, 230, 250, 292, 253, 231)(223, 235, 261, 314, 264, 236)(224, 237, 266, 323, 268, 238)(227, 244, 280, 344, 283, 245)(229, 248, 288, 324, 291, 249)(233, 257, 305, 277, 308, 258)(234, 259, 310, 373, 312, 260)(240, 273, 306, 269, 329, 274)(241, 252, 297, 361, 337, 275)(243, 278, 341, 362, 343, 279)(246, 284, 327, 370, 330, 285)(247, 286, 349, 293, 316, 287)(251, 295, 359, 338, 360, 296)(254, 300, 313, 281, 317, 262)(255, 301, 298, 320, 366, 302)(256, 303, 367, 334, 272, 304)(263, 267, 326, 384, 377, 318)(265, 321, 380, 385, 381, 322)(271, 332, 364, 299, 363, 333)(276, 339, 393, 411, 356, 340)(282, 290, 336, 392, 400, 346)(289, 353, 408, 401, 409, 354)(294, 357, 331, 388, 412, 358)(307, 311, 374, 394, 416, 368)(309, 371, 414, 420, 419, 372)(315, 375, 387, 328, 386, 376)(319, 378, 421, 423, 382, 379)(325, 342, 347, 402, 424, 383)(335, 391, 422, 428, 415, 365)(345, 397, 395, 355, 410, 398)(348, 351, 399, 431, 413, 403)(350, 405, 425, 427, 390, 406)(352, 407, 396, 429, 426, 389)(369, 417, 432, 430, 404, 418)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 8^3 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E28.3008
Transitivity :: ET+
Graph:: simple bipartite
	v = 108 e = 216 f = 54
	degree seq :: [ 3^72, 6^36 ]

E28.3007 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 6})
Quotient :: loop
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^4, (F * T2)^2, (F * T1)^2, (T1 * T2^-1)^3, T2^2 * T1 * T2^-1 * T1^-2 * T2^-1 * T1 * T2, T2^-1 * T1^-1 * T2^-1 * T1 * T2 * T1 * T2^2 * T1 * T2 * T1, T2^-1 * T1 * T2 * T1 * T2^-2 * T1 * T2 * T1 * T2^-1 * T1^-1, T2^-2 * T1 * T2^2 * T1 * T2^-2 * T1^-1 * T2^-2 * T1^-1, (T2^-1 * T1^-1)^6 ]
Map:: polyhedral non-degenerate
	R = (1, 217, 3, 219, 9, 225, 5, 221)(2, 218, 6, 222, 16, 232, 7, 223)(4, 220, 11, 227, 26, 242, 12, 228)(8, 224, 20, 236, 42, 258, 21, 237)(10, 226, 18, 234, 38, 254, 24, 240)(13, 229, 30, 246, 55, 271, 27, 243)(14, 230, 31, 247, 62, 278, 32, 248)(15, 231, 33, 249, 66, 282, 34, 250)(17, 233, 28, 244, 56, 272, 37, 253)(19, 235, 39, 255, 78, 294, 40, 256)(22, 238, 46, 262, 90, 306, 47, 263)(23, 239, 44, 260, 86, 302, 48, 264)(25, 241, 51, 267, 98, 314, 52, 268)(29, 245, 57, 273, 110, 326, 58, 274)(35, 251, 70, 286, 129, 345, 71, 287)(36, 252, 68, 284, 127, 343, 72, 288)(41, 257, 81, 297, 144, 360, 82, 298)(43, 259, 49, 265, 94, 310, 85, 301)(45, 261, 87, 303, 151, 367, 88, 304)(50, 266, 95, 311, 107, 323, 96, 312)(53, 269, 102, 318, 154, 370, 103, 319)(54, 270, 100, 316, 149, 365, 104, 320)(59, 275, 113, 329, 74, 290, 114, 330)(60, 276, 63, 279, 120, 336, 115, 331)(61, 277, 116, 332, 173, 389, 117, 333)(64, 280, 121, 337, 175, 391, 122, 338)(65, 281, 123, 339, 177, 393, 124, 340)(67, 283, 73, 289, 133, 349, 126, 342)(69, 285, 128, 344, 157, 373, 93, 309)(75, 291, 134, 350, 106, 322, 135, 351)(76, 292, 79, 295, 119, 335, 136, 352)(77, 293, 137, 353, 185, 401, 138, 354)(80, 296, 141, 357, 187, 403, 142, 358)(83, 299, 99, 315, 105, 321, 147, 363)(84, 300, 146, 362, 118, 334, 148, 364)(89, 305, 153, 369, 167, 383, 109, 325)(91, 307, 92, 308, 156, 372, 155, 371)(97, 313, 161, 377, 200, 416, 162, 378)(101, 317, 164, 380, 181, 397, 132, 348)(108, 324, 111, 327, 140, 356, 166, 382)(112, 328, 169, 385, 188, 404, 143, 359)(125, 341, 178, 394, 139, 355, 145, 361)(130, 346, 131, 347, 180, 396, 179, 395)(150, 366, 183, 399, 210, 426, 190, 406)(152, 368, 193, 409, 202, 418, 165, 381)(158, 374, 159, 375, 192, 408, 199, 415)(160, 376, 186, 402, 214, 430, 194, 410)(163, 379, 201, 417, 168, 384, 176, 392)(170, 386, 198, 414, 211, 427, 182, 398)(171, 387, 172, 388, 204, 420, 203, 419)(174, 390, 206, 422, 212, 428, 184, 400)(189, 405, 215, 431, 191, 407, 195, 411)(196, 412, 197, 413, 205, 421, 207, 423)(208, 424, 209, 425, 213, 429, 216, 432)
	L = (1, 218)(2, 220)(3, 224)(4, 217)(5, 229)(6, 231)(7, 234)(8, 226)(9, 238)(10, 219)(11, 241)(12, 244)(13, 230)(14, 221)(15, 233)(16, 251)(17, 222)(18, 235)(19, 223)(20, 257)(21, 260)(22, 239)(23, 225)(24, 265)(25, 243)(26, 269)(27, 227)(28, 245)(29, 228)(30, 275)(31, 277)(32, 279)(33, 281)(34, 284)(35, 252)(36, 232)(37, 289)(38, 291)(39, 293)(40, 295)(41, 259)(42, 299)(43, 236)(44, 261)(45, 237)(46, 305)(47, 247)(48, 308)(49, 266)(50, 240)(51, 313)(52, 316)(53, 270)(54, 242)(55, 321)(56, 323)(57, 325)(58, 327)(59, 276)(60, 246)(61, 263)(62, 334)(63, 280)(64, 248)(65, 283)(66, 301)(67, 249)(68, 285)(69, 250)(70, 332)(71, 255)(72, 347)(73, 290)(74, 253)(75, 292)(76, 254)(77, 287)(78, 355)(79, 296)(80, 256)(81, 359)(82, 362)(83, 300)(84, 258)(85, 341)(86, 343)(87, 366)(88, 320)(89, 307)(90, 345)(91, 262)(92, 309)(93, 264)(94, 344)(95, 330)(96, 375)(97, 315)(98, 342)(99, 267)(100, 317)(101, 268)(102, 353)(103, 273)(104, 368)(105, 322)(106, 271)(107, 324)(108, 272)(109, 319)(110, 384)(111, 328)(112, 274)(113, 386)(114, 351)(115, 388)(116, 346)(117, 352)(118, 335)(119, 278)(120, 326)(121, 298)(122, 392)(123, 338)(124, 394)(125, 282)(126, 379)(127, 365)(128, 374)(129, 370)(130, 286)(131, 348)(132, 288)(133, 380)(134, 399)(135, 311)(136, 390)(137, 381)(138, 382)(139, 356)(140, 294)(141, 340)(142, 364)(143, 361)(144, 371)(145, 297)(146, 337)(147, 303)(148, 377)(149, 302)(150, 363)(151, 407)(152, 304)(153, 410)(154, 306)(155, 405)(156, 391)(157, 413)(158, 310)(159, 376)(160, 312)(161, 358)(162, 417)(163, 314)(164, 398)(165, 318)(166, 402)(167, 331)(168, 336)(169, 378)(170, 387)(171, 329)(172, 383)(173, 419)(174, 333)(175, 412)(176, 339)(177, 395)(178, 357)(179, 423)(180, 403)(181, 425)(182, 349)(183, 400)(184, 350)(185, 428)(186, 354)(187, 424)(188, 431)(189, 360)(190, 415)(191, 408)(192, 367)(193, 404)(194, 411)(195, 369)(196, 372)(197, 414)(198, 373)(199, 427)(200, 418)(201, 385)(202, 432)(203, 421)(204, 422)(205, 389)(206, 430)(207, 393)(208, 396)(209, 426)(210, 397)(211, 406)(212, 429)(213, 401)(214, 420)(215, 409)(216, 416)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.3005
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 54 e = 216 f = 108
	degree seq :: [ 8^54 ]

E28.3008 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 6})
Quotient :: loop
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^4, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^3, T2 * T1^-1 * T2^-1 * T1^-1 * T2^2 * T1 * T2 * T1 * T2 ]
Map:: polytopal non-degenerate
	R = (1, 217, 3, 219, 9, 225, 5, 221)(2, 218, 6, 222, 16, 232, 7, 223)(4, 220, 11, 227, 26, 242, 12, 228)(8, 224, 20, 236, 42, 258, 21, 237)(10, 226, 18, 234, 38, 254, 24, 240)(13, 229, 30, 246, 55, 271, 27, 243)(14, 230, 31, 247, 62, 278, 32, 248)(15, 231, 33, 249, 66, 282, 34, 250)(17, 233, 28, 244, 56, 272, 37, 253)(19, 235, 39, 255, 78, 294, 40, 256)(22, 238, 46, 262, 89, 305, 47, 263)(23, 239, 44, 260, 86, 302, 48, 264)(25, 241, 51, 267, 97, 313, 52, 268)(29, 245, 57, 273, 92, 308, 58, 274)(35, 251, 70, 286, 121, 337, 71, 287)(36, 252, 68, 284, 118, 334, 72, 288)(41, 257, 81, 297, 59, 275, 82, 298)(43, 259, 49, 265, 93, 309, 85, 301)(45, 261, 87, 303, 141, 357, 88, 304)(50, 266, 94, 310, 64, 280, 95, 311)(53, 269, 84, 300, 133, 349, 101, 317)(54, 270, 99, 315, 154, 370, 102, 318)(60, 276, 63, 279, 114, 330, 110, 326)(61, 277, 111, 327, 165, 381, 112, 328)(65, 281, 115, 331, 75, 291, 116, 332)(67, 283, 73, 289, 123, 339, 117, 333)(69, 285, 119, 335, 174, 390, 120, 336)(74, 290, 124, 340, 80, 296, 125, 341)(76, 292, 79, 295, 130, 346, 126, 342)(77, 293, 127, 343, 147, 363, 128, 344)(83, 299, 129, 345, 186, 402, 135, 351)(90, 306, 91, 307, 146, 362, 145, 361)(96, 312, 151, 367, 105, 321, 152, 368)(98, 314, 103, 319, 157, 373, 153, 369)(100, 316, 155, 371, 163, 379, 156, 372)(104, 320, 131, 347, 109, 325, 138, 354)(106, 322, 108, 324, 161, 377, 158, 374)(107, 323, 159, 375, 179, 395, 160, 376)(113, 329, 167, 383, 178, 394, 122, 338)(132, 348, 136, 352, 192, 408, 190, 406)(134, 350, 162, 378, 207, 423, 191, 407)(137, 353, 184, 400, 143, 359, 188, 404)(139, 355, 142, 358, 196, 412, 193, 409)(140, 356, 194, 410, 197, 413, 195, 411)(144, 360, 183, 399, 208, 424, 166, 382)(148, 364, 150, 366, 175, 391, 198, 414)(149, 365, 171, 387, 211, 427, 170, 386)(164, 380, 203, 419, 169, 385, 200, 416)(168, 384, 209, 425, 173, 389, 210, 426)(172, 388, 205, 421, 176, 392, 206, 422)(177, 393, 204, 420, 213, 429, 185, 401)(180, 396, 182, 398, 202, 418, 212, 428)(181, 397, 199, 415, 216, 432, 189, 405)(187, 403, 214, 430, 201, 417, 215, 431)
	L = (1, 218)(2, 220)(3, 224)(4, 217)(5, 229)(6, 231)(7, 234)(8, 226)(9, 238)(10, 219)(11, 241)(12, 244)(13, 230)(14, 221)(15, 233)(16, 251)(17, 222)(18, 235)(19, 223)(20, 257)(21, 260)(22, 239)(23, 225)(24, 265)(25, 243)(26, 269)(27, 227)(28, 245)(29, 228)(30, 275)(31, 277)(32, 279)(33, 281)(34, 284)(35, 252)(36, 232)(37, 289)(38, 291)(39, 293)(40, 295)(41, 259)(42, 299)(43, 236)(44, 261)(45, 237)(46, 282)(47, 247)(48, 307)(49, 266)(50, 240)(51, 312)(52, 315)(53, 270)(54, 242)(55, 319)(56, 321)(57, 323)(58, 324)(59, 276)(60, 246)(61, 263)(62, 288)(63, 280)(64, 248)(65, 283)(66, 306)(67, 249)(68, 285)(69, 250)(70, 313)(71, 255)(72, 329)(73, 290)(74, 253)(75, 292)(76, 254)(77, 287)(78, 318)(79, 296)(80, 256)(81, 347)(82, 349)(83, 300)(84, 258)(85, 352)(86, 354)(87, 356)(88, 358)(89, 360)(90, 262)(91, 308)(92, 264)(93, 363)(94, 365)(95, 366)(96, 314)(97, 338)(98, 267)(99, 316)(100, 268)(101, 273)(102, 345)(103, 320)(104, 271)(105, 322)(106, 272)(107, 317)(108, 325)(109, 274)(110, 378)(111, 380)(112, 383)(113, 278)(114, 385)(115, 310)(116, 305)(117, 387)(118, 311)(119, 389)(120, 391)(121, 393)(122, 286)(123, 395)(124, 397)(125, 398)(126, 399)(127, 400)(128, 402)(129, 294)(130, 404)(131, 348)(132, 297)(133, 350)(134, 298)(135, 303)(136, 353)(137, 301)(138, 355)(139, 302)(140, 351)(141, 342)(142, 359)(143, 304)(144, 332)(145, 335)(146, 413)(147, 364)(148, 309)(149, 331)(150, 334)(151, 340)(152, 337)(153, 415)(154, 341)(155, 417)(156, 418)(157, 381)(158, 420)(159, 421)(160, 362)(161, 422)(162, 379)(163, 326)(164, 382)(165, 409)(166, 327)(167, 384)(168, 328)(169, 386)(170, 330)(171, 388)(172, 333)(173, 361)(174, 374)(175, 392)(176, 336)(177, 368)(178, 371)(179, 396)(180, 339)(181, 367)(182, 370)(183, 357)(184, 401)(185, 343)(186, 403)(187, 344)(188, 405)(189, 346)(190, 377)(191, 375)(192, 427)(193, 373)(194, 426)(195, 424)(196, 425)(197, 376)(198, 430)(199, 416)(200, 369)(201, 394)(202, 419)(203, 372)(204, 390)(205, 407)(206, 406)(207, 414)(208, 428)(209, 429)(210, 431)(211, 432)(212, 411)(213, 412)(214, 423)(215, 410)(216, 408)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.3006
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 54 e = 216 f = 108
	degree seq :: [ 8^54 ]

E28.3009 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 6})
Quotient :: loop
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, (T2^-1 * T1^-1)^3, T2^6, T1 * T2^2 * T1^-2 * T2^-2 * T1, T1 * T2^-2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1, (T1^-1 * T2^-2)^3, T1 * T2^-1 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1, (T2 * T1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 217, 3, 219, 10, 226, 29, 245, 16, 232, 5, 221)(2, 218, 7, 223, 20, 236, 53, 269, 24, 240, 8, 224)(4, 220, 12, 228, 34, 250, 83, 299, 37, 253, 13, 229)(6, 222, 17, 233, 45, 261, 101, 317, 49, 265, 18, 234)(9, 225, 26, 242, 65, 281, 127, 343, 69, 285, 27, 243)(11, 227, 31, 247, 77, 293, 145, 361, 80, 296, 32, 248)(14, 230, 39, 255, 90, 306, 161, 377, 94, 310, 40, 256)(15, 231, 41, 257, 96, 312, 107, 323, 51, 267, 19, 235)(21, 237, 55, 271, 113, 329, 165, 381, 115, 331, 56, 272)(22, 238, 58, 274, 116, 332, 169, 385, 97, 313, 59, 275)(23, 239, 60, 276, 120, 336, 168, 384, 95, 311, 44, 260)(25, 241, 63, 279, 124, 340, 88, 304, 38, 254, 64, 280)(28, 244, 70, 286, 61, 277, 122, 338, 136, 352, 71, 287)(30, 246, 74, 290, 62, 278, 123, 339, 142, 358, 75, 291)(33, 249, 48, 264, 68, 284, 131, 347, 150, 366, 82, 298)(35, 251, 84, 300, 67, 283, 130, 346, 156, 372, 85, 301)(36, 252, 86, 302, 157, 373, 143, 359, 129, 345, 87, 303)(42, 258, 98, 314, 170, 386, 111, 327, 54, 270, 99, 315)(43, 259, 100, 316, 173, 389, 108, 324, 52, 268, 89, 305)(46, 262, 102, 318, 149, 365, 192, 408, 176, 392, 103, 319)(47, 263, 104, 320, 177, 393, 195, 411, 121, 337, 105, 321)(50, 266, 66, 282, 128, 344, 81, 297, 57, 273, 106, 322)(72, 288, 137, 353, 132, 348, 201, 417, 162, 378, 138, 354)(73, 289, 139, 355, 133, 349, 202, 418, 160, 376, 140, 356)(76, 292, 126, 342, 135, 351, 203, 419, 205, 421, 144, 360)(78, 294, 146, 362, 134, 350, 174, 390, 166, 382, 92, 308)(79, 295, 147, 363, 191, 407, 117, 333, 190, 406, 148, 364)(91, 307, 163, 379, 210, 426, 155, 371, 209, 425, 164, 380)(93, 309, 167, 383, 213, 429, 200, 416, 172, 388, 125, 341)(109, 325, 183, 399, 179, 395, 215, 431, 189, 405, 153, 369)(110, 326, 159, 375, 180, 396, 212, 428, 188, 404, 184, 400)(112, 328, 151, 367, 182, 398, 207, 423, 206, 422, 186, 402)(114, 330, 187, 403, 181, 397, 198, 414, 193, 409, 118, 334)(119, 335, 194, 410, 216, 432, 199, 415, 197, 413, 152, 368)(141, 357, 171, 387, 214, 430, 178, 394, 175, 391, 204, 420)(154, 370, 208, 424, 185, 401, 196, 412, 211, 427, 158, 374)
	L = (1, 218)(2, 222)(3, 225)(4, 217)(5, 230)(6, 220)(7, 235)(8, 238)(9, 241)(10, 244)(11, 219)(12, 249)(13, 252)(14, 254)(15, 221)(16, 258)(17, 260)(18, 263)(19, 266)(20, 268)(21, 223)(22, 273)(23, 224)(24, 277)(25, 227)(26, 229)(27, 283)(28, 261)(29, 288)(30, 226)(31, 292)(32, 295)(33, 297)(34, 270)(35, 228)(36, 282)(37, 278)(38, 231)(39, 305)(40, 308)(41, 311)(42, 265)(43, 232)(44, 304)(45, 246)(46, 233)(47, 279)(48, 234)(49, 259)(50, 237)(51, 293)(52, 250)(53, 325)(54, 236)(55, 328)(56, 307)(57, 239)(58, 290)(59, 334)(60, 298)(61, 253)(62, 240)(63, 264)(64, 341)(65, 267)(66, 242)(67, 345)(68, 243)(69, 348)(70, 248)(71, 350)(72, 340)(73, 245)(74, 319)(75, 357)(76, 359)(77, 310)(78, 247)(79, 302)(80, 349)(81, 251)(82, 365)(83, 367)(84, 369)(85, 371)(86, 286)(87, 374)(88, 262)(89, 272)(90, 376)(91, 255)(92, 381)(93, 256)(94, 281)(95, 329)(96, 378)(97, 257)(98, 356)(99, 301)(100, 388)(101, 342)(102, 354)(103, 333)(104, 315)(105, 394)(106, 368)(107, 395)(108, 397)(109, 344)(110, 269)(111, 401)(112, 377)(113, 313)(114, 271)(115, 396)(116, 404)(117, 274)(118, 408)(119, 275)(120, 405)(121, 276)(122, 400)(123, 413)(124, 289)(125, 317)(126, 280)(127, 402)(128, 326)(129, 284)(130, 355)(131, 360)(132, 296)(133, 285)(134, 406)(135, 287)(136, 386)(137, 291)(138, 385)(139, 321)(140, 380)(141, 363)(142, 389)(143, 294)(144, 393)(145, 375)(146, 422)(147, 353)(148, 414)(149, 337)(150, 423)(151, 322)(152, 299)(153, 411)(154, 300)(155, 320)(156, 410)(157, 415)(158, 361)(159, 303)(160, 312)(161, 330)(162, 306)(163, 399)(164, 387)(165, 309)(166, 424)(167, 384)(168, 419)(169, 391)(170, 358)(171, 314)(172, 426)(173, 352)(174, 316)(175, 318)(176, 383)(177, 416)(178, 346)(179, 331)(180, 323)(181, 425)(182, 324)(183, 327)(184, 407)(185, 379)(186, 373)(187, 417)(188, 336)(189, 332)(190, 351)(191, 412)(192, 335)(193, 362)(194, 366)(195, 370)(196, 338)(197, 364)(198, 339)(199, 343)(200, 347)(201, 432)(202, 427)(203, 392)(204, 431)(205, 428)(206, 429)(207, 372)(208, 421)(209, 398)(210, 390)(211, 420)(212, 382)(213, 409)(214, 403)(215, 418)(216, 430)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.3002
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 36 e = 216 f = 126
	degree seq :: [ 12^36 ]

E28.3010 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 6})
Quotient :: loop
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T1)^2, (F * T2)^2, (T1 * T2)^3, T2^6, T2 * T1^-1 * T2^-2 * T1 * T2^-2 * T1^-1, (T1^-1 * T2^-2)^3, T1^-2 * T2^-1 * T1^2 * T2^-1 * T1^2 * T2^-1, T2 * T1^-1 * T2 * T1^-2 * T2^-1 * T1 * T2^-1 * T1^-2 ]
Map:: polyhedral non-degenerate
	R = (1, 217, 3, 219, 10, 226, 29, 245, 16, 232, 5, 221)(2, 218, 7, 223, 20, 236, 53, 269, 24, 240, 8, 224)(4, 220, 12, 228, 34, 250, 83, 299, 37, 253, 13, 229)(6, 222, 17, 233, 45, 261, 101, 317, 49, 265, 18, 234)(9, 225, 26, 242, 65, 281, 130, 346, 69, 285, 27, 243)(11, 227, 31, 247, 77, 293, 115, 331, 54, 270, 32, 248)(14, 230, 39, 255, 88, 304, 134, 350, 67, 283, 40, 256)(15, 231, 41, 257, 97, 313, 111, 327, 51, 267, 19, 235)(21, 237, 55, 271, 117, 333, 175, 391, 102, 318, 56, 272)(22, 238, 58, 274, 42, 258, 99, 315, 110, 326, 59, 275)(23, 239, 60, 276, 124, 340, 167, 383, 96, 312, 44, 260)(25, 241, 63, 279, 127, 343, 190, 406, 129, 345, 64, 280)(28, 244, 71, 287, 89, 305, 100, 316, 120, 336, 62, 278)(30, 246, 74, 290, 35, 251, 85, 301, 131, 347, 75, 291)(33, 249, 48, 264, 68, 284, 135, 351, 154, 370, 81, 297)(36, 252, 86, 302, 107, 323, 177, 393, 153, 369, 87, 303)(38, 254, 90, 306, 161, 377, 203, 419, 162, 378, 91, 307)(43, 259, 82, 298, 145, 361, 108, 324, 52, 268, 92, 308)(46, 262, 103, 319, 133, 349, 158, 374, 84, 300, 104, 320)(47, 263, 105, 321, 61, 277, 126, 342, 148, 364, 106, 322)(50, 266, 66, 282, 132, 348, 194, 410, 179, 395, 109, 325)(57, 273, 119, 335, 168, 384, 136, 352, 152, 368, 80, 296)(70, 286, 138, 354, 123, 339, 189, 405, 156, 372, 139, 355)(72, 288, 141, 357, 112, 328, 165, 381, 94, 310, 137, 353)(73, 289, 142, 358, 78, 294, 149, 365, 159, 375, 143, 359)(76, 292, 128, 344, 125, 341, 191, 407, 174, 390, 147, 363)(79, 295, 150, 366, 193, 409, 213, 429, 202, 418, 151, 367)(93, 309, 163, 379, 207, 423, 216, 432, 206, 422, 164, 380)(95, 311, 166, 382, 173, 389, 204, 420, 155, 371, 160, 376)(98, 314, 169, 385, 114, 330, 183, 399, 118, 334, 170, 386)(113, 329, 182, 398, 172, 388, 188, 404, 122, 338, 180, 396)(116, 332, 178, 394, 176, 392, 195, 411, 157, 373, 185, 401)(121, 337, 186, 402, 212, 428, 215, 431, 200, 416, 187, 403)(140, 356, 199, 415, 196, 412, 208, 424, 184, 400, 192, 408)(144, 360, 198, 414, 197, 413, 214, 430, 211, 427, 201, 417)(146, 362, 171, 387, 205, 421, 209, 425, 210, 426, 181, 397)
	L = (1, 218)(2, 222)(3, 225)(4, 217)(5, 230)(6, 220)(7, 235)(8, 238)(9, 241)(10, 244)(11, 219)(12, 249)(13, 252)(14, 254)(15, 221)(16, 258)(17, 260)(18, 263)(19, 266)(20, 268)(21, 223)(22, 273)(23, 224)(24, 277)(25, 227)(26, 229)(27, 283)(28, 286)(29, 288)(30, 226)(31, 292)(32, 295)(33, 296)(34, 298)(35, 228)(36, 282)(37, 304)(38, 231)(39, 308)(40, 310)(41, 312)(42, 314)(43, 232)(44, 307)(45, 316)(46, 233)(47, 279)(48, 234)(49, 323)(50, 237)(51, 326)(52, 328)(53, 329)(54, 236)(55, 332)(56, 309)(57, 239)(58, 336)(59, 338)(60, 297)(61, 341)(62, 240)(63, 264)(64, 335)(65, 267)(66, 242)(67, 349)(68, 243)(69, 352)(70, 246)(71, 248)(72, 356)(73, 245)(74, 360)(75, 362)(76, 319)(77, 257)(78, 247)(79, 302)(80, 251)(81, 369)(82, 371)(83, 372)(84, 250)(85, 334)(86, 287)(87, 339)(88, 375)(89, 253)(90, 376)(91, 262)(92, 272)(93, 255)(94, 322)(95, 256)(96, 364)(97, 358)(98, 259)(99, 359)(100, 388)(101, 389)(102, 261)(103, 294)(104, 337)(105, 361)(106, 311)(107, 392)(108, 265)(109, 343)(110, 347)(111, 345)(112, 270)(113, 397)(114, 269)(115, 400)(116, 301)(117, 276)(118, 271)(119, 354)(120, 320)(121, 274)(122, 303)(123, 275)(124, 399)(125, 278)(126, 385)(127, 381)(128, 280)(129, 409)(130, 401)(131, 281)(132, 404)(133, 284)(134, 411)(135, 363)(136, 413)(137, 285)(138, 344)(139, 374)(140, 289)(141, 291)(142, 416)(143, 380)(144, 321)(145, 290)(146, 366)(147, 418)(148, 293)(149, 378)(150, 357)(151, 412)(152, 306)(153, 333)(154, 419)(155, 300)(156, 421)(157, 299)(158, 415)(159, 305)(160, 386)(161, 346)(162, 348)(163, 398)(164, 387)(165, 394)(166, 383)(167, 395)(168, 313)(169, 403)(170, 368)(171, 315)(172, 318)(173, 424)(174, 317)(175, 425)(176, 324)(177, 407)(178, 325)(179, 423)(180, 327)(181, 330)(182, 331)(183, 427)(184, 379)(185, 422)(186, 420)(187, 408)(188, 365)(189, 370)(190, 340)(191, 417)(192, 342)(193, 396)(194, 351)(195, 367)(196, 350)(197, 353)(198, 355)(199, 414)(200, 384)(201, 426)(202, 410)(203, 428)(204, 391)(205, 373)(206, 377)(207, 382)(208, 390)(209, 402)(210, 393)(211, 406)(212, 405)(213, 430)(214, 431)(215, 432)(216, 429)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.3001
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 36 e = 216 f = 126
	degree seq :: [ 12^36 ]

E28.3011 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 6})
Quotient :: loop
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, (T1 * T2^-1)^3, T1^6, (T2^-1 * T1^-1)^4, T1^-2 * T2 * T1^2 * T2 * T1^-2 * T2^-1, T1^-1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2 * T1 * T2 ]
Map:: polyhedral non-degenerate
	R = (1, 217, 3, 219, 5, 221)(2, 218, 7, 223, 8, 224)(4, 220, 11, 227, 13, 229)(6, 222, 17, 233, 18, 234)(9, 225, 24, 240, 25, 241)(10, 226, 21, 237, 27, 243)(12, 228, 30, 246, 31, 247)(14, 230, 35, 251, 29, 245)(15, 231, 36, 252, 38, 254)(16, 232, 39, 255, 40, 256)(19, 235, 46, 262, 47, 263)(20, 236, 43, 259, 49, 265)(22, 238, 51, 267, 53, 269)(23, 239, 55, 271, 56, 272)(26, 242, 60, 276, 61, 277)(28, 244, 65, 281, 66, 282)(32, 248, 73, 289, 69, 285)(33, 249, 74, 290, 57, 273)(34, 250, 77, 293, 78, 294)(37, 253, 82, 298, 83, 299)(41, 257, 89, 305, 90, 306)(42, 258, 87, 303, 91, 307)(44, 260, 93, 309, 94, 310)(45, 261, 96, 312, 64, 280)(48, 264, 99, 315, 72, 288)(50, 266, 103, 319, 104, 320)(52, 268, 106, 322, 75, 291)(54, 270, 108, 324, 109, 325)(58, 274, 111, 327, 114, 330)(59, 275, 115, 331, 117, 333)(62, 278, 101, 317, 119, 335)(63, 279, 122, 338, 79, 295)(67, 283, 128, 344, 129, 345)(68, 284, 130, 346, 131, 347)(70, 286, 133, 349, 86, 302)(71, 287, 134, 350, 125, 341)(76, 292, 138, 354, 139, 355)(80, 296, 140, 356, 136, 352)(81, 297, 144, 360, 98, 314)(84, 300, 147, 363, 145, 361)(85, 301, 148, 364, 149, 365)(88, 304, 150, 366, 151, 367)(92, 308, 132, 348, 155, 371)(95, 311, 158, 374, 159, 375)(97, 313, 124, 340, 162, 378)(100, 316, 154, 370, 165, 381)(102, 318, 112, 328, 168, 384)(105, 321, 170, 386, 152, 368)(107, 323, 173, 389, 171, 387)(110, 326, 177, 393, 178, 394)(113, 329, 169, 385, 121, 337)(116, 332, 172, 388, 123, 339)(118, 334, 153, 369, 181, 397)(120, 336, 157, 373, 175, 391)(126, 342, 160, 376, 184, 400)(127, 343, 185, 401, 187, 403)(135, 351, 190, 406, 191, 407)(137, 353, 164, 380, 189, 405)(141, 357, 183, 399, 143, 359)(142, 358, 186, 402, 146, 362)(156, 372, 195, 411, 197, 413)(161, 377, 202, 418, 166, 382)(163, 379, 203, 419, 167, 383)(174, 390, 188, 404, 198, 414)(176, 392, 206, 422, 200, 416)(179, 395, 193, 409, 208, 424)(180, 396, 192, 408, 207, 423)(182, 398, 210, 426, 211, 427)(194, 410, 209, 425, 215, 431)(196, 412, 205, 421, 216, 432)(199, 415, 214, 430, 201, 417)(204, 420, 212, 428, 213, 429)
	L = (1, 218)(2, 222)(3, 225)(4, 217)(5, 230)(6, 232)(7, 235)(8, 237)(9, 239)(10, 219)(11, 244)(12, 220)(13, 248)(14, 250)(15, 221)(16, 228)(17, 257)(18, 259)(19, 261)(20, 223)(21, 266)(22, 224)(23, 270)(24, 273)(25, 252)(26, 226)(27, 278)(28, 280)(29, 227)(30, 284)(31, 286)(32, 288)(33, 229)(34, 292)(35, 295)(36, 297)(37, 231)(38, 300)(39, 301)(40, 303)(41, 271)(42, 233)(43, 308)(44, 234)(45, 311)(46, 254)(47, 267)(48, 236)(49, 316)(50, 318)(51, 321)(52, 238)(53, 323)(54, 242)(55, 326)(56, 327)(57, 328)(58, 240)(59, 241)(60, 334)(61, 336)(62, 337)(63, 243)(64, 340)(65, 341)(66, 290)(67, 245)(68, 272)(69, 246)(70, 277)(71, 247)(72, 351)(73, 352)(74, 331)(75, 249)(76, 253)(77, 258)(78, 356)(79, 357)(80, 251)(81, 359)(82, 260)(83, 287)(84, 362)(85, 312)(86, 255)(87, 345)(88, 256)(89, 269)(90, 309)(91, 369)(92, 361)(93, 372)(94, 373)(95, 264)(96, 376)(97, 262)(98, 263)(99, 380)(100, 382)(101, 265)(102, 268)(103, 302)(104, 338)(105, 385)(106, 304)(107, 388)(108, 390)(109, 305)(110, 293)(111, 348)(112, 395)(113, 274)(114, 386)(115, 396)(116, 275)(117, 389)(118, 294)(119, 276)(120, 299)(121, 398)(122, 344)(123, 279)(124, 283)(125, 354)(126, 281)(127, 282)(128, 381)(129, 387)(130, 367)(131, 350)(132, 285)(133, 405)(134, 401)(135, 291)(136, 408)(137, 289)(138, 410)(139, 393)(140, 371)(141, 412)(142, 296)(143, 332)(144, 391)(145, 298)(146, 377)(147, 330)(148, 310)(149, 366)(150, 414)(151, 406)(152, 306)(153, 416)(154, 307)(155, 335)(156, 418)(157, 419)(158, 403)(159, 364)(160, 319)(161, 313)(162, 411)(163, 314)(164, 320)(165, 315)(166, 421)(167, 317)(168, 400)(169, 379)(170, 407)(171, 322)(172, 392)(173, 378)(174, 384)(175, 324)(176, 325)(177, 333)(178, 346)(179, 329)(180, 402)(181, 349)(182, 339)(183, 342)(184, 360)(185, 428)(186, 343)(187, 363)(188, 347)(189, 429)(190, 430)(191, 374)(192, 427)(193, 353)(194, 399)(195, 355)(196, 358)(197, 365)(198, 422)(199, 368)(200, 426)(201, 370)(202, 415)(203, 420)(204, 375)(205, 383)(206, 431)(207, 394)(208, 404)(209, 397)(210, 417)(211, 409)(212, 424)(213, 432)(214, 423)(215, 413)(216, 425)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.3004
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 72 e = 216 f = 90
	degree seq :: [ 6^72 ]

E28.3012 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 6})
Quotient :: loop
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, T1^6, (T2^-1 * T1)^3, (T1^-1 * T2^-1)^4, (T2^-1 * T1^-1)^4, T1 * T2 * T1^-3 * T2 * T1^2 * T2^-1 * T1, T1^3 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2, T1^2 * T2^-1 * T1^-1 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-1 * T2^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 217, 3, 219, 5, 221)(2, 218, 7, 223, 8, 224)(4, 220, 11, 227, 13, 229)(6, 222, 17, 233, 18, 234)(9, 225, 24, 240, 25, 241)(10, 226, 21, 237, 27, 243)(12, 228, 30, 246, 31, 247)(14, 230, 35, 251, 29, 245)(15, 231, 36, 252, 38, 254)(16, 232, 39, 255, 40, 256)(19, 235, 46, 262, 47, 263)(20, 236, 43, 259, 49, 265)(22, 238, 51, 267, 53, 269)(23, 239, 55, 271, 56, 272)(26, 242, 60, 276, 61, 277)(28, 244, 65, 281, 66, 282)(32, 248, 73, 289, 69, 285)(33, 249, 74, 290, 57, 273)(34, 250, 77, 293, 78, 294)(37, 253, 82, 298, 83, 299)(41, 257, 90, 306, 91, 307)(42, 258, 87, 303, 93, 309)(44, 260, 95, 311, 97, 313)(45, 261, 99, 315, 100, 316)(48, 264, 103, 319, 104, 320)(50, 266, 108, 324, 109, 325)(52, 268, 111, 327, 112, 328)(54, 270, 114, 330, 115, 331)(58, 274, 88, 304, 119, 335)(59, 275, 120, 336, 122, 338)(62, 278, 106, 322, 124, 340)(63, 279, 126, 342, 79, 295)(64, 280, 129, 345, 96, 312)(67, 283, 131, 347, 98, 314)(68, 284, 113, 329, 132, 348)(70, 286, 134, 350, 86, 302)(71, 287, 135, 351, 101, 317)(72, 288, 118, 334, 136, 352)(75, 291, 89, 305, 139, 355)(76, 292, 140, 356, 94, 310)(80, 296, 141, 357, 137, 353)(81, 297, 146, 362, 102, 318)(84, 300, 149, 365, 85, 301)(92, 308, 153, 369, 154, 370)(105, 321, 156, 372, 163, 379)(107, 323, 166, 382, 151, 367)(110, 326, 169, 385, 152, 368)(116, 332, 143, 359, 173, 389)(117, 333, 172, 388, 174, 390)(121, 337, 177, 393, 178, 394)(123, 339, 144, 360, 179, 395)(125, 341, 142, 358, 159, 375)(127, 343, 148, 364, 162, 378)(128, 344, 150, 366, 180, 396)(130, 346, 183, 399, 185, 401)(133, 349, 157, 373, 188, 404)(138, 354, 191, 407, 189, 405)(145, 361, 197, 413, 196, 412)(147, 363, 198, 414, 195, 411)(155, 371, 190, 406, 202, 418)(158, 374, 204, 420, 199, 415)(160, 376, 186, 402, 193, 409)(161, 377, 205, 421, 206, 422)(164, 380, 167, 383, 194, 410)(165, 381, 171, 387, 201, 417)(168, 384, 184, 400, 208, 424)(170, 386, 209, 425, 207, 423)(175, 391, 211, 427, 187, 403)(176, 392, 212, 428, 210, 426)(181, 397, 192, 408, 214, 430)(182, 398, 213, 429, 203, 419)(200, 416, 216, 432, 215, 431)
	L = (1, 218)(2, 222)(3, 225)(4, 217)(5, 230)(6, 232)(7, 235)(8, 237)(9, 239)(10, 219)(11, 244)(12, 220)(13, 248)(14, 250)(15, 221)(16, 228)(17, 257)(18, 259)(19, 261)(20, 223)(21, 266)(22, 224)(23, 270)(24, 273)(25, 252)(26, 226)(27, 278)(28, 280)(29, 227)(30, 284)(31, 286)(32, 288)(33, 229)(34, 292)(35, 295)(36, 297)(37, 231)(38, 300)(39, 301)(40, 303)(41, 305)(42, 233)(43, 310)(44, 234)(45, 314)(46, 254)(47, 267)(48, 236)(49, 321)(50, 323)(51, 326)(52, 238)(53, 329)(54, 242)(55, 332)(56, 304)(57, 306)(58, 240)(59, 241)(60, 339)(61, 308)(62, 341)(63, 243)(64, 344)(65, 317)(66, 290)(67, 245)(68, 327)(69, 246)(70, 349)(71, 247)(72, 324)(73, 353)(74, 336)(75, 249)(76, 253)(77, 316)(78, 357)(79, 359)(80, 251)(81, 361)(82, 320)(83, 363)(84, 313)(85, 298)(86, 255)(87, 367)(88, 256)(89, 277)(90, 269)(91, 311)(92, 258)(93, 371)(94, 373)(95, 374)(96, 260)(97, 281)(98, 264)(99, 375)(100, 287)(101, 262)(102, 263)(103, 378)(104, 366)(105, 380)(106, 265)(107, 268)(108, 291)(109, 342)(110, 384)(111, 370)(112, 386)(113, 274)(114, 285)(115, 388)(116, 364)(117, 271)(118, 272)(119, 391)(120, 392)(121, 275)(122, 360)(123, 393)(124, 276)(125, 362)(126, 347)(127, 279)(128, 283)(129, 397)(130, 282)(131, 402)(132, 351)(133, 293)(134, 405)(135, 399)(136, 407)(137, 408)(138, 289)(139, 410)(140, 340)(141, 331)(142, 294)(143, 338)(144, 296)(145, 337)(146, 343)(147, 333)(148, 299)(149, 335)(150, 302)(151, 334)(152, 307)(153, 417)(154, 330)(155, 414)(156, 309)(157, 312)(158, 394)(159, 387)(160, 315)(161, 318)(162, 421)(163, 319)(164, 385)(165, 322)(166, 379)(167, 325)(168, 377)(169, 381)(170, 376)(171, 328)(172, 412)(173, 352)(174, 406)(175, 422)(176, 400)(177, 411)(178, 416)(179, 355)(180, 429)(181, 395)(182, 345)(183, 431)(184, 346)(185, 409)(186, 424)(187, 348)(188, 418)(189, 425)(190, 350)(191, 396)(192, 401)(193, 354)(194, 398)(195, 356)(196, 358)(197, 403)(198, 420)(199, 365)(200, 368)(201, 432)(202, 369)(203, 372)(204, 419)(205, 423)(206, 428)(207, 382)(208, 383)(209, 427)(210, 389)(211, 390)(212, 415)(213, 426)(214, 404)(215, 413)(216, 430)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.3003
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 72 e = 216 f = 90
	degree seq :: [ 6^72 ]

E28.3013 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y1^2 * Y3^-1, Y2^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y1, Y3 * Y2^2 * Y1 * Y2^-1 * Y1^-2 * Y2^-1 * Y3^-1 * Y2 * Y1, Y2^-1 * Y1 * Y2 * Y1 * Y2^-2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y1 * Y2^-1 * Y3 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2^2 * Y3^-1 * Y2, Y3 * Y2^-1 * Y1 * Y2 * Y1 * Y2^2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y2^-1 * Y3 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^2 * Y1^-1, Y3 * Y2^-2 * Y1 * Y2^2 * Y3^-1 * Y2^-2 * Y1^-1 * Y2^-2, Y3 * Y2^2 * Y3 * Y2^2 * Y3^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1, Y2^-2 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1^-1 * Y2^-2 * Y1^-1, (Y3 * Y2^-1)^6, Y2^-2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y3 ]
Map::
	R = (1, 217, 2, 218, 4, 220)(3, 219, 8, 224, 10, 226)(5, 221, 13, 229, 14, 230)(6, 222, 15, 231, 17, 233)(7, 223, 18, 234, 19, 235)(9, 225, 22, 238, 23, 239)(11, 227, 25, 241, 27, 243)(12, 228, 28, 244, 29, 245)(16, 232, 35, 251, 36, 252)(20, 236, 41, 257, 43, 259)(21, 237, 44, 260, 45, 261)(24, 240, 49, 265, 50, 266)(26, 242, 53, 269, 54, 270)(30, 246, 59, 275, 60, 276)(31, 247, 61, 277, 47, 263)(32, 248, 63, 279, 64, 280)(33, 249, 65, 281, 67, 283)(34, 250, 68, 284, 69, 285)(37, 253, 73, 289, 74, 290)(38, 254, 75, 291, 76, 292)(39, 255, 77, 293, 71, 287)(40, 256, 79, 295, 80, 296)(42, 258, 83, 299, 84, 300)(46, 262, 89, 305, 91, 307)(48, 264, 92, 308, 93, 309)(51, 267, 97, 313, 99, 315)(52, 268, 100, 316, 101, 317)(55, 271, 105, 321, 106, 322)(56, 272, 107, 323, 108, 324)(57, 273, 109, 325, 103, 319)(58, 274, 111, 327, 112, 328)(62, 278, 118, 334, 119, 335)(66, 282, 85, 301, 125, 341)(70, 286, 116, 332, 130, 346)(72, 288, 131, 347, 132, 348)(78, 294, 139, 355, 140, 356)(81, 297, 143, 359, 145, 361)(82, 298, 146, 362, 121, 337)(86, 302, 127, 343, 149, 365)(87, 303, 150, 366, 147, 363)(88, 304, 104, 320, 152, 368)(90, 306, 129, 345, 154, 370)(94, 310, 128, 344, 158, 374)(95, 311, 114, 330, 135, 351)(96, 312, 159, 375, 160, 376)(98, 314, 126, 342, 163, 379)(102, 318, 137, 353, 165, 381)(110, 326, 168, 384, 120, 336)(113, 329, 170, 386, 171, 387)(115, 331, 172, 388, 167, 383)(117, 333, 136, 352, 174, 390)(122, 338, 176, 392, 123, 339)(124, 340, 178, 394, 141, 357)(133, 349, 164, 380, 182, 398)(134, 350, 183, 399, 184, 400)(138, 354, 166, 382, 186, 402)(142, 358, 148, 364, 161, 377)(144, 360, 155, 371, 189, 405)(151, 367, 191, 407, 192, 408)(153, 369, 194, 410, 195, 411)(156, 372, 175, 391, 196, 412)(157, 373, 197, 413, 198, 414)(162, 378, 201, 417, 169, 385)(173, 389, 203, 419, 205, 421)(177, 393, 179, 395, 207, 423)(180, 396, 187, 403, 208, 424)(181, 397, 209, 425, 210, 426)(185, 401, 212, 428, 213, 429)(188, 404, 215, 431, 193, 409)(190, 406, 199, 415, 211, 427)(200, 416, 202, 418, 216, 432)(204, 420, 206, 422, 214, 430)(433, 649, 435, 651, 441, 657, 437, 653)(434, 650, 438, 654, 448, 664, 439, 655)(436, 652, 443, 659, 458, 674, 444, 660)(440, 656, 452, 668, 474, 690, 453, 669)(442, 658, 450, 666, 470, 686, 456, 672)(445, 661, 462, 678, 487, 703, 459, 675)(446, 662, 463, 679, 494, 710, 464, 680)(447, 663, 465, 681, 498, 714, 466, 682)(449, 665, 460, 676, 488, 704, 469, 685)(451, 667, 471, 687, 510, 726, 472, 688)(454, 670, 478, 694, 522, 738, 479, 695)(455, 671, 476, 692, 518, 734, 480, 696)(457, 673, 483, 699, 530, 746, 484, 700)(461, 677, 489, 705, 542, 758, 490, 706)(467, 683, 502, 718, 561, 777, 503, 719)(468, 684, 500, 716, 559, 775, 504, 720)(473, 689, 513, 729, 576, 792, 514, 730)(475, 691, 481, 697, 526, 742, 517, 733)(477, 693, 519, 735, 583, 799, 520, 736)(482, 698, 527, 743, 539, 755, 528, 744)(485, 701, 534, 750, 586, 802, 535, 751)(486, 702, 532, 748, 581, 797, 536, 752)(491, 707, 545, 761, 506, 722, 546, 762)(492, 708, 495, 711, 552, 768, 547, 763)(493, 709, 548, 764, 605, 821, 549, 765)(496, 712, 553, 769, 607, 823, 554, 770)(497, 713, 555, 771, 609, 825, 556, 772)(499, 715, 505, 721, 565, 781, 558, 774)(501, 717, 560, 776, 589, 805, 525, 741)(507, 723, 566, 782, 538, 754, 567, 783)(508, 724, 511, 727, 551, 767, 568, 784)(509, 725, 569, 785, 617, 833, 570, 786)(512, 728, 573, 789, 619, 835, 574, 790)(515, 731, 531, 747, 537, 753, 579, 795)(516, 732, 578, 794, 550, 766, 580, 796)(521, 737, 585, 801, 599, 815, 541, 757)(523, 739, 524, 740, 588, 804, 587, 803)(529, 745, 593, 809, 632, 848, 594, 810)(533, 749, 596, 812, 613, 829, 564, 780)(540, 756, 543, 759, 572, 788, 598, 814)(544, 760, 601, 817, 620, 836, 575, 791)(557, 773, 610, 826, 571, 787, 577, 793)(562, 778, 563, 779, 612, 828, 611, 827)(582, 798, 615, 831, 642, 858, 622, 838)(584, 800, 625, 841, 634, 850, 597, 813)(590, 806, 591, 807, 624, 840, 631, 847)(592, 808, 618, 834, 646, 862, 626, 842)(595, 811, 633, 849, 600, 816, 608, 824)(602, 818, 630, 846, 643, 859, 614, 830)(603, 819, 604, 820, 636, 852, 635, 851)(606, 822, 638, 854, 644, 860, 616, 832)(621, 837, 647, 863, 623, 839, 627, 843)(628, 844, 629, 845, 637, 853, 639, 855)(640, 856, 641, 857, 645, 861, 648, 864)
	L = (1, 436)(2, 433)(3, 442)(4, 434)(5, 446)(6, 449)(7, 451)(8, 435)(9, 455)(10, 440)(11, 459)(12, 461)(13, 437)(14, 445)(15, 438)(16, 468)(17, 447)(18, 439)(19, 450)(20, 475)(21, 477)(22, 441)(23, 454)(24, 482)(25, 443)(26, 486)(27, 457)(28, 444)(29, 460)(30, 492)(31, 479)(32, 496)(33, 499)(34, 501)(35, 448)(36, 467)(37, 506)(38, 508)(39, 503)(40, 512)(41, 452)(42, 516)(43, 473)(44, 453)(45, 476)(46, 523)(47, 493)(48, 525)(49, 456)(50, 481)(51, 531)(52, 533)(53, 458)(54, 485)(55, 538)(56, 540)(57, 535)(58, 544)(59, 462)(60, 491)(61, 463)(62, 551)(63, 464)(64, 495)(65, 465)(66, 557)(67, 497)(68, 466)(69, 500)(70, 562)(71, 509)(72, 564)(73, 469)(74, 505)(75, 470)(76, 507)(77, 471)(78, 572)(79, 472)(80, 511)(81, 577)(82, 553)(83, 474)(84, 515)(85, 498)(86, 581)(87, 579)(88, 584)(89, 478)(90, 586)(91, 521)(92, 480)(93, 524)(94, 590)(95, 567)(96, 592)(97, 483)(98, 595)(99, 529)(100, 484)(101, 532)(102, 597)(103, 541)(104, 520)(105, 487)(106, 537)(107, 488)(108, 539)(109, 489)(110, 552)(111, 490)(112, 543)(113, 603)(114, 527)(115, 599)(116, 502)(117, 606)(118, 494)(119, 550)(120, 600)(121, 578)(122, 555)(123, 608)(124, 573)(125, 517)(126, 530)(127, 518)(128, 526)(129, 522)(130, 548)(131, 504)(132, 563)(133, 614)(134, 616)(135, 546)(136, 549)(137, 534)(138, 618)(139, 510)(140, 571)(141, 610)(142, 593)(143, 513)(144, 621)(145, 575)(146, 514)(147, 582)(148, 574)(149, 559)(150, 519)(151, 624)(152, 536)(153, 627)(154, 561)(155, 576)(156, 628)(157, 630)(158, 560)(159, 528)(160, 591)(161, 580)(162, 601)(163, 558)(164, 565)(165, 569)(166, 570)(167, 604)(168, 542)(169, 633)(170, 545)(171, 602)(172, 547)(173, 637)(174, 568)(175, 588)(176, 554)(177, 639)(178, 556)(179, 609)(180, 640)(181, 642)(182, 596)(183, 566)(184, 615)(185, 645)(186, 598)(187, 612)(188, 625)(189, 587)(190, 643)(191, 583)(192, 623)(193, 647)(194, 585)(195, 626)(196, 607)(197, 589)(198, 629)(199, 622)(200, 648)(201, 594)(202, 632)(203, 605)(204, 646)(205, 635)(206, 636)(207, 611)(208, 619)(209, 613)(210, 641)(211, 631)(212, 617)(213, 644)(214, 638)(215, 620)(216, 634)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3019
Graph:: bipartite
	v = 126 e = 432 f = 252
	degree seq :: [ 6^72, 8^54 ]

E28.3014 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y1^2 * Y3^-1, Y2^4, (R * Y3)^2, (R * Y1)^2, Y2^4, Y3 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2, Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y2^-4 * Y3^-1, (Y3 * Y2^-2 * Y1)^2, Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-2 * Y3^-1 * Y2 * Y3^-1, Y2 * Y1 * Y2 * Y1 * Y2^2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2, Y2^-1 * Y3 * Y2^-2 * Y1 * Y2 * Y3^-1 * Y2^-2 * Y1^-1, Y1^-1 * Y2 * Y3 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y3 * Y2^-1, Y1 * Y2^-2 * Y1 * Y2 * Y3 * Y2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^-2 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y1 * Y2 * Y1 * Y2^-1 * Y3 * Y2 * Y1 * Y2^-2 * Y3^-1 * Y2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2, Y2^-1 * Y1 * Y2 * Y3 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1 * Y2 * Y3^-1 * Y2^-1 ]
Map::
	R = (1, 217, 2, 218, 4, 220)(3, 219, 8, 224, 10, 226)(5, 221, 13, 229, 14, 230)(6, 222, 15, 231, 17, 233)(7, 223, 18, 234, 19, 235)(9, 225, 22, 238, 23, 239)(11, 227, 25, 241, 27, 243)(12, 228, 28, 244, 29, 245)(16, 232, 35, 251, 36, 252)(20, 236, 41, 257, 43, 259)(21, 237, 44, 260, 45, 261)(24, 240, 49, 265, 50, 266)(26, 242, 53, 269, 54, 270)(30, 246, 59, 275, 60, 276)(31, 247, 61, 277, 47, 263)(32, 248, 63, 279, 64, 280)(33, 249, 65, 281, 67, 283)(34, 250, 68, 284, 69, 285)(37, 253, 73, 289, 74, 290)(38, 254, 75, 291, 76, 292)(39, 255, 77, 293, 71, 287)(40, 256, 79, 295, 80, 296)(42, 258, 83, 299, 84, 300)(46, 262, 66, 282, 90, 306)(48, 264, 91, 307, 92, 308)(51, 267, 96, 312, 98, 314)(52, 268, 99, 315, 100, 316)(55, 271, 103, 319, 104, 320)(56, 272, 105, 321, 106, 322)(57, 273, 107, 323, 101, 317)(58, 274, 108, 324, 109, 325)(62, 278, 72, 288, 113, 329)(70, 286, 97, 313, 122, 338)(78, 294, 102, 318, 129, 345)(81, 297, 131, 347, 132, 348)(82, 298, 133, 349, 134, 350)(85, 301, 136, 352, 137, 353)(86, 302, 138, 354, 139, 355)(87, 303, 140, 356, 135, 351)(88, 304, 142, 358, 143, 359)(89, 305, 144, 360, 116, 332)(93, 309, 147, 363, 148, 364)(94, 310, 149, 365, 115, 331)(95, 311, 150, 366, 118, 334)(110, 326, 162, 378, 163, 379)(111, 327, 164, 380, 166, 382)(112, 328, 167, 383, 168, 384)(114, 330, 169, 385, 170, 386)(117, 333, 171, 387, 172, 388)(119, 335, 173, 389, 145, 361)(120, 336, 175, 391, 176, 392)(121, 337, 177, 393, 152, 368)(123, 339, 179, 395, 180, 396)(124, 340, 181, 397, 151, 367)(125, 341, 182, 398, 154, 370)(126, 342, 183, 399, 141, 357)(127, 343, 184, 400, 185, 401)(128, 344, 186, 402, 187, 403)(130, 346, 188, 404, 189, 405)(146, 362, 197, 413, 160, 376)(153, 369, 199, 415, 200, 416)(155, 371, 201, 417, 178, 394)(156, 372, 202, 418, 203, 419)(157, 373, 165, 381, 193, 409)(158, 374, 204, 420, 174, 390)(159, 375, 205, 421, 191, 407)(161, 377, 206, 422, 190, 406)(192, 408, 211, 427, 216, 432)(194, 410, 210, 426, 215, 431)(195, 411, 208, 424, 212, 428)(196, 412, 209, 425, 213, 429)(198, 414, 214, 430, 207, 423)(433, 649, 435, 651, 441, 657, 437, 653)(434, 650, 438, 654, 448, 664, 439, 655)(436, 652, 443, 659, 458, 674, 444, 660)(440, 656, 452, 668, 474, 690, 453, 669)(442, 658, 450, 666, 470, 686, 456, 672)(445, 661, 462, 678, 487, 703, 459, 675)(446, 662, 463, 679, 494, 710, 464, 680)(447, 663, 465, 681, 498, 714, 466, 682)(449, 665, 460, 676, 488, 704, 469, 685)(451, 667, 471, 687, 510, 726, 472, 688)(454, 670, 478, 694, 521, 737, 479, 695)(455, 671, 476, 692, 518, 734, 480, 696)(457, 673, 483, 699, 529, 745, 484, 700)(461, 677, 489, 705, 524, 740, 490, 706)(467, 683, 502, 718, 553, 769, 503, 719)(468, 684, 500, 716, 550, 766, 504, 720)(473, 689, 513, 729, 491, 707, 514, 730)(475, 691, 481, 697, 525, 741, 517, 733)(477, 693, 519, 735, 573, 789, 520, 736)(482, 698, 526, 742, 496, 712, 527, 743)(485, 701, 516, 732, 565, 781, 533, 749)(486, 702, 531, 747, 586, 802, 534, 750)(492, 708, 495, 711, 546, 762, 542, 758)(493, 709, 543, 759, 597, 813, 544, 760)(497, 713, 547, 763, 507, 723, 548, 764)(499, 715, 505, 721, 555, 771, 549, 765)(501, 717, 551, 767, 606, 822, 552, 768)(506, 722, 556, 772, 512, 728, 557, 773)(508, 724, 511, 727, 562, 778, 558, 774)(509, 725, 559, 775, 579, 795, 560, 776)(515, 731, 561, 777, 618, 834, 567, 783)(522, 738, 523, 739, 578, 794, 577, 793)(528, 744, 583, 799, 537, 753, 584, 800)(530, 746, 535, 751, 589, 805, 585, 801)(532, 748, 587, 803, 595, 811, 588, 804)(536, 752, 563, 779, 541, 757, 570, 786)(538, 754, 540, 756, 593, 809, 590, 806)(539, 755, 591, 807, 611, 827, 592, 808)(545, 761, 599, 815, 610, 826, 554, 770)(564, 780, 568, 784, 624, 840, 622, 838)(566, 782, 594, 810, 639, 855, 623, 839)(569, 785, 616, 832, 575, 791, 620, 836)(571, 787, 574, 790, 628, 844, 625, 841)(572, 788, 626, 842, 629, 845, 627, 843)(576, 792, 615, 831, 640, 856, 598, 814)(580, 796, 582, 798, 607, 823, 630, 846)(581, 797, 603, 819, 643, 859, 602, 818)(596, 812, 635, 851, 601, 817, 632, 848)(600, 816, 641, 857, 605, 821, 642, 858)(604, 820, 637, 853, 608, 824, 638, 854)(609, 825, 636, 852, 645, 861, 617, 833)(612, 828, 614, 830, 634, 850, 644, 860)(613, 829, 631, 847, 648, 864, 621, 837)(619, 835, 646, 862, 633, 849, 647, 863)
	L = (1, 436)(2, 433)(3, 442)(4, 434)(5, 446)(6, 449)(7, 451)(8, 435)(9, 455)(10, 440)(11, 459)(12, 461)(13, 437)(14, 445)(15, 438)(16, 468)(17, 447)(18, 439)(19, 450)(20, 475)(21, 477)(22, 441)(23, 454)(24, 482)(25, 443)(26, 486)(27, 457)(28, 444)(29, 460)(30, 492)(31, 479)(32, 496)(33, 499)(34, 501)(35, 448)(36, 467)(37, 506)(38, 508)(39, 503)(40, 512)(41, 452)(42, 516)(43, 473)(44, 453)(45, 476)(46, 522)(47, 493)(48, 524)(49, 456)(50, 481)(51, 530)(52, 532)(53, 458)(54, 485)(55, 536)(56, 538)(57, 533)(58, 541)(59, 462)(60, 491)(61, 463)(62, 545)(63, 464)(64, 495)(65, 465)(66, 478)(67, 497)(68, 466)(69, 500)(70, 554)(71, 509)(72, 494)(73, 469)(74, 505)(75, 470)(76, 507)(77, 471)(78, 561)(79, 472)(80, 511)(81, 564)(82, 566)(83, 474)(84, 515)(85, 569)(86, 571)(87, 567)(88, 575)(89, 548)(90, 498)(91, 480)(92, 523)(93, 580)(94, 547)(95, 550)(96, 483)(97, 502)(98, 528)(99, 484)(100, 531)(101, 539)(102, 510)(103, 487)(104, 535)(105, 488)(106, 537)(107, 489)(108, 490)(109, 540)(110, 595)(111, 598)(112, 600)(113, 504)(114, 602)(115, 581)(116, 576)(117, 604)(118, 582)(119, 577)(120, 608)(121, 584)(122, 529)(123, 612)(124, 583)(125, 586)(126, 573)(127, 617)(128, 619)(129, 534)(130, 621)(131, 513)(132, 563)(133, 514)(134, 565)(135, 572)(136, 517)(137, 568)(138, 518)(139, 570)(140, 519)(141, 615)(142, 520)(143, 574)(144, 521)(145, 605)(146, 592)(147, 525)(148, 579)(149, 526)(150, 527)(151, 613)(152, 609)(153, 632)(154, 614)(155, 610)(156, 635)(157, 625)(158, 606)(159, 623)(160, 629)(161, 622)(162, 542)(163, 594)(164, 543)(165, 589)(166, 596)(167, 544)(168, 599)(169, 546)(170, 601)(171, 549)(172, 603)(173, 551)(174, 636)(175, 552)(176, 607)(177, 553)(178, 633)(179, 555)(180, 611)(181, 556)(182, 557)(183, 558)(184, 559)(185, 616)(186, 560)(187, 618)(188, 562)(189, 620)(190, 638)(191, 637)(192, 648)(193, 597)(194, 647)(195, 644)(196, 645)(197, 578)(198, 639)(199, 585)(200, 631)(201, 587)(202, 588)(203, 634)(204, 590)(205, 591)(206, 593)(207, 646)(208, 627)(209, 628)(210, 626)(211, 624)(212, 640)(213, 641)(214, 630)(215, 642)(216, 643)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3020
Graph:: bipartite
	v = 126 e = 432 f = 252
	degree seq :: [ 6^72, 8^54 ]

E28.3015 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^4, (R * Y3)^2, (R * Y1)^2, Y2^6, (Y1 * Y2)^3, (Y3^-1 * Y1^-1)^3, Y2 * Y1^-1 * Y2^-2 * Y1 * Y2^-2 * Y1^-1, Y1^-2 * Y2^-1 * Y1^2 * Y2^-1 * Y1^2 * Y2^-1, (Y1^-1 * Y2^-2)^3, Y2 * Y1^-1 * Y2 * Y1^-2 * Y2^-1 * Y1 * Y2^-1 * Y1^-2 ]
Map::
	R = (1, 217, 2, 218, 6, 222, 4, 220)(3, 219, 9, 225, 25, 241, 11, 227)(5, 221, 14, 230, 38, 254, 15, 231)(7, 223, 19, 235, 50, 266, 21, 237)(8, 224, 22, 238, 57, 273, 23, 239)(10, 226, 28, 244, 70, 286, 30, 246)(12, 228, 33, 249, 80, 296, 35, 251)(13, 229, 36, 252, 66, 282, 26, 242)(16, 232, 42, 258, 98, 314, 43, 259)(17, 233, 44, 260, 91, 307, 46, 262)(18, 234, 47, 263, 63, 279, 48, 264)(20, 236, 52, 268, 112, 328, 54, 270)(24, 240, 61, 277, 125, 341, 62, 278)(27, 243, 67, 283, 133, 349, 68, 284)(29, 245, 72, 288, 140, 356, 73, 289)(31, 247, 76, 292, 103, 319, 78, 294)(32, 248, 79, 295, 86, 302, 71, 287)(34, 250, 82, 298, 155, 371, 84, 300)(37, 253, 88, 304, 159, 375, 89, 305)(39, 255, 92, 308, 56, 272, 93, 309)(40, 256, 94, 310, 106, 322, 95, 311)(41, 257, 96, 312, 148, 364, 77, 293)(45, 261, 100, 316, 172, 388, 102, 318)(49, 265, 107, 323, 176, 392, 108, 324)(51, 267, 110, 326, 131, 347, 65, 281)(53, 269, 113, 329, 181, 397, 114, 330)(55, 271, 116, 332, 85, 301, 118, 334)(58, 274, 120, 336, 104, 320, 121, 337)(59, 275, 122, 338, 87, 303, 123, 339)(60, 276, 81, 297, 153, 369, 117, 333)(64, 280, 119, 335, 138, 354, 128, 344)(69, 285, 136, 352, 197, 413, 137, 353)(74, 290, 144, 360, 105, 321, 145, 361)(75, 291, 146, 362, 150, 366, 141, 357)(83, 299, 156, 372, 205, 421, 157, 373)(90, 306, 160, 376, 170, 386, 152, 368)(97, 313, 142, 358, 200, 416, 168, 384)(99, 315, 143, 359, 164, 380, 171, 387)(101, 317, 173, 389, 208, 424, 174, 390)(109, 325, 127, 343, 165, 381, 178, 394)(111, 327, 129, 345, 193, 409, 180, 396)(115, 331, 184, 400, 163, 379, 182, 398)(124, 340, 183, 399, 211, 427, 190, 406)(126, 342, 169, 385, 187, 403, 192, 408)(130, 346, 185, 401, 206, 422, 161, 377)(132, 348, 188, 404, 149, 365, 162, 378)(134, 350, 195, 411, 151, 367, 196, 412)(135, 351, 147, 363, 202, 418, 194, 410)(139, 355, 158, 374, 199, 415, 198, 414)(154, 370, 203, 419, 212, 428, 189, 405)(166, 382, 167, 383, 179, 395, 207, 423)(175, 391, 209, 425, 186, 402, 204, 420)(177, 393, 191, 407, 201, 417, 210, 426)(213, 429, 214, 430, 215, 431, 216, 432)(433, 649, 435, 651, 442, 658, 461, 677, 448, 664, 437, 653)(434, 650, 439, 655, 452, 668, 485, 701, 456, 672, 440, 656)(436, 652, 444, 660, 466, 682, 515, 731, 469, 685, 445, 661)(438, 654, 449, 665, 477, 693, 533, 749, 481, 697, 450, 666)(441, 657, 458, 674, 497, 713, 562, 778, 501, 717, 459, 675)(443, 659, 463, 679, 509, 725, 547, 763, 486, 702, 464, 680)(446, 662, 471, 687, 520, 736, 566, 782, 499, 715, 472, 688)(447, 663, 473, 689, 529, 745, 543, 759, 483, 699, 451, 667)(453, 669, 487, 703, 549, 765, 607, 823, 534, 750, 488, 704)(454, 670, 490, 706, 474, 690, 531, 747, 542, 758, 491, 707)(455, 671, 492, 708, 556, 772, 599, 815, 528, 744, 476, 692)(457, 673, 495, 711, 559, 775, 622, 838, 561, 777, 496, 712)(460, 676, 503, 719, 521, 737, 532, 748, 552, 768, 494, 710)(462, 678, 506, 722, 467, 683, 517, 733, 563, 779, 507, 723)(465, 681, 480, 696, 500, 716, 567, 783, 586, 802, 513, 729)(468, 684, 518, 734, 539, 755, 609, 825, 585, 801, 519, 735)(470, 686, 522, 738, 593, 809, 635, 851, 594, 810, 523, 739)(475, 691, 514, 730, 577, 793, 540, 756, 484, 700, 524, 740)(478, 694, 535, 751, 565, 781, 590, 806, 516, 732, 536, 752)(479, 695, 537, 753, 493, 709, 558, 774, 580, 796, 538, 754)(482, 698, 498, 714, 564, 780, 626, 842, 611, 827, 541, 757)(489, 705, 551, 767, 600, 816, 568, 784, 584, 800, 512, 728)(502, 718, 570, 786, 555, 771, 621, 837, 588, 804, 571, 787)(504, 720, 573, 789, 544, 760, 597, 813, 526, 742, 569, 785)(505, 721, 574, 790, 510, 726, 581, 797, 591, 807, 575, 791)(508, 724, 560, 776, 557, 773, 623, 839, 606, 822, 579, 795)(511, 727, 582, 798, 625, 841, 645, 861, 634, 850, 583, 799)(525, 741, 595, 811, 639, 855, 648, 864, 638, 854, 596, 812)(527, 743, 598, 814, 605, 821, 636, 852, 587, 803, 592, 808)(530, 746, 601, 817, 546, 762, 615, 831, 550, 766, 602, 818)(545, 761, 614, 830, 604, 820, 620, 836, 554, 770, 612, 828)(548, 764, 610, 826, 608, 824, 627, 843, 589, 805, 617, 833)(553, 769, 618, 834, 644, 860, 647, 863, 632, 848, 619, 835)(572, 788, 631, 847, 628, 844, 640, 856, 616, 832, 624, 840)(576, 792, 630, 846, 629, 845, 646, 862, 643, 859, 633, 849)(578, 794, 603, 819, 637, 853, 641, 857, 642, 858, 613, 829)
	L = (1, 435)(2, 439)(3, 442)(4, 444)(5, 433)(6, 449)(7, 452)(8, 434)(9, 458)(10, 461)(11, 463)(12, 466)(13, 436)(14, 471)(15, 473)(16, 437)(17, 477)(18, 438)(19, 447)(20, 485)(21, 487)(22, 490)(23, 492)(24, 440)(25, 495)(26, 497)(27, 441)(28, 503)(29, 448)(30, 506)(31, 509)(32, 443)(33, 480)(34, 515)(35, 517)(36, 518)(37, 445)(38, 522)(39, 520)(40, 446)(41, 529)(42, 531)(43, 514)(44, 455)(45, 533)(46, 535)(47, 537)(48, 500)(49, 450)(50, 498)(51, 451)(52, 524)(53, 456)(54, 464)(55, 549)(56, 453)(57, 551)(58, 474)(59, 454)(60, 556)(61, 558)(62, 460)(63, 559)(64, 457)(65, 562)(66, 564)(67, 472)(68, 567)(69, 459)(70, 570)(71, 521)(72, 573)(73, 574)(74, 467)(75, 462)(76, 560)(77, 547)(78, 581)(79, 582)(80, 489)(81, 465)(82, 577)(83, 469)(84, 536)(85, 563)(86, 539)(87, 468)(88, 566)(89, 532)(90, 593)(91, 470)(92, 475)(93, 595)(94, 569)(95, 598)(96, 476)(97, 543)(98, 601)(99, 542)(100, 552)(101, 481)(102, 488)(103, 565)(104, 478)(105, 493)(106, 479)(107, 609)(108, 484)(109, 482)(110, 491)(111, 483)(112, 597)(113, 614)(114, 615)(115, 486)(116, 610)(117, 607)(118, 602)(119, 600)(120, 494)(121, 618)(122, 612)(123, 621)(124, 599)(125, 623)(126, 580)(127, 622)(128, 557)(129, 496)(130, 501)(131, 507)(132, 626)(133, 590)(134, 499)(135, 586)(136, 584)(137, 504)(138, 555)(139, 502)(140, 631)(141, 544)(142, 510)(143, 505)(144, 630)(145, 540)(146, 603)(147, 508)(148, 538)(149, 591)(150, 625)(151, 511)(152, 512)(153, 519)(154, 513)(155, 592)(156, 571)(157, 617)(158, 516)(159, 575)(160, 527)(161, 635)(162, 523)(163, 639)(164, 525)(165, 526)(166, 605)(167, 528)(168, 568)(169, 546)(170, 530)(171, 637)(172, 620)(173, 636)(174, 579)(175, 534)(176, 627)(177, 585)(178, 608)(179, 541)(180, 545)(181, 578)(182, 604)(183, 550)(184, 624)(185, 548)(186, 644)(187, 553)(188, 554)(189, 588)(190, 561)(191, 606)(192, 572)(193, 645)(194, 611)(195, 589)(196, 640)(197, 646)(198, 629)(199, 628)(200, 619)(201, 576)(202, 583)(203, 594)(204, 587)(205, 641)(206, 596)(207, 648)(208, 616)(209, 642)(210, 613)(211, 633)(212, 647)(213, 634)(214, 643)(215, 632)(216, 638)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.3017
Graph:: bipartite
	v = 90 e = 432 f = 288
	degree seq :: [ 8^54, 12^36 ]

E28.3016 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^4, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^3, (Y1 * Y2)^3, Y2^6, Y1^2 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1, Y2^2 * Y1^-2 * Y2^-2 * Y1^-2, Y1 * Y2^-2 * Y1 * Y2^-2 * Y1^-1 * Y2^-2, Y1^-1 * Y2^-2 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1, (Y2 * Y1^-1)^6 ]
Map::
	R = (1, 217, 2, 218, 6, 222, 4, 220)(3, 219, 9, 225, 25, 241, 11, 227)(5, 221, 14, 230, 38, 254, 15, 231)(7, 223, 19, 235, 50, 266, 21, 237)(8, 224, 22, 238, 57, 273, 23, 239)(10, 226, 28, 244, 45, 261, 30, 246)(12, 228, 33, 249, 81, 297, 35, 251)(13, 229, 36, 252, 66, 282, 26, 242)(16, 232, 42, 258, 49, 265, 43, 259)(17, 233, 44, 260, 88, 304, 46, 262)(18, 234, 47, 263, 63, 279, 48, 264)(20, 236, 52, 268, 34, 250, 54, 270)(24, 240, 61, 277, 37, 253, 62, 278)(27, 243, 67, 283, 129, 345, 68, 284)(29, 245, 72, 288, 124, 340, 73, 289)(31, 247, 76, 292, 143, 359, 78, 294)(32, 248, 79, 295, 86, 302, 70, 286)(39, 255, 89, 305, 56, 272, 91, 307)(40, 256, 92, 308, 165, 381, 93, 309)(41, 257, 95, 311, 113, 329, 97, 313)(51, 267, 77, 293, 94, 310, 65, 281)(53, 269, 109, 325, 128, 344, 110, 326)(55, 271, 112, 328, 161, 377, 114, 330)(58, 274, 74, 290, 103, 319, 117, 333)(59, 275, 118, 334, 192, 408, 119, 335)(60, 276, 82, 298, 149, 365, 121, 337)(64, 280, 125, 341, 101, 317, 126, 342)(69, 285, 132, 348, 80, 296, 133, 349)(71, 287, 134, 350, 190, 406, 135, 351)(75, 291, 141, 357, 147, 363, 137, 353)(83, 299, 151, 367, 106, 322, 152, 368)(84, 300, 153, 369, 195, 411, 154, 370)(85, 301, 155, 371, 104, 320, 99, 315)(87, 303, 158, 374, 145, 361, 159, 375)(90, 306, 160, 376, 96, 312, 162, 378)(98, 314, 140, 356, 164, 380, 171, 387)(100, 316, 172, 388, 210, 426, 174, 390)(102, 318, 138, 354, 169, 385, 175, 391)(105, 321, 178, 394, 130, 346, 139, 355)(107, 323, 179, 395, 115, 331, 180, 396)(108, 324, 181, 397, 209, 425, 182, 398)(111, 327, 185, 401, 163, 379, 183, 399)(116, 332, 188, 404, 120, 336, 189, 405)(122, 338, 184, 400, 191, 407, 196, 412)(123, 339, 197, 413, 148, 364, 198, 414)(127, 343, 186, 402, 157, 373, 199, 415)(131, 347, 144, 360, 177, 393, 200, 416)(136, 352, 170, 386, 142, 358, 173, 389)(146, 362, 206, 422, 213, 429, 193, 409)(150, 366, 207, 423, 156, 372, 194, 410)(166, 382, 208, 424, 205, 421, 212, 428)(167, 383, 168, 384, 203, 419, 176, 392)(187, 403, 201, 417, 216, 432, 214, 430)(202, 418, 211, 427, 204, 420, 215, 431)(433, 649, 435, 651, 442, 658, 461, 677, 448, 664, 437, 653)(434, 650, 439, 655, 452, 668, 485, 701, 456, 672, 440, 656)(436, 652, 444, 660, 466, 682, 515, 731, 469, 685, 445, 661)(438, 654, 449, 665, 477, 693, 533, 749, 481, 697, 450, 666)(441, 657, 458, 674, 497, 713, 559, 775, 501, 717, 459, 675)(443, 659, 463, 679, 509, 725, 577, 793, 512, 728, 464, 680)(446, 662, 471, 687, 522, 738, 593, 809, 526, 742, 472, 688)(447, 663, 473, 689, 528, 744, 539, 755, 483, 699, 451, 667)(453, 669, 487, 703, 545, 761, 597, 813, 547, 763, 488, 704)(454, 670, 490, 706, 548, 764, 601, 817, 529, 745, 491, 707)(455, 671, 492, 708, 552, 768, 600, 816, 527, 743, 476, 692)(457, 673, 495, 711, 556, 772, 520, 736, 470, 686, 496, 712)(460, 676, 502, 718, 493, 709, 554, 770, 568, 784, 503, 719)(462, 678, 506, 722, 494, 710, 555, 771, 574, 790, 507, 723)(465, 681, 480, 696, 500, 716, 563, 779, 582, 798, 514, 730)(467, 683, 516, 732, 499, 715, 562, 778, 588, 804, 517, 733)(468, 684, 518, 734, 589, 805, 575, 791, 561, 777, 519, 735)(474, 690, 530, 746, 602, 818, 543, 759, 486, 702, 531, 747)(475, 691, 532, 748, 605, 821, 540, 756, 484, 700, 521, 737)(478, 694, 534, 750, 581, 797, 624, 840, 608, 824, 535, 751)(479, 695, 536, 752, 609, 825, 627, 843, 553, 769, 537, 753)(482, 698, 498, 714, 560, 776, 513, 729, 489, 705, 538, 754)(504, 720, 569, 785, 564, 780, 633, 849, 594, 810, 570, 786)(505, 721, 571, 787, 565, 781, 634, 850, 592, 808, 572, 788)(508, 724, 558, 774, 567, 783, 635, 851, 637, 853, 576, 792)(510, 726, 578, 794, 566, 782, 606, 822, 598, 814, 524, 740)(511, 727, 579, 795, 623, 839, 549, 765, 622, 838, 580, 796)(523, 739, 595, 811, 642, 858, 587, 803, 641, 857, 596, 812)(525, 741, 599, 815, 645, 861, 632, 848, 604, 820, 557, 773)(541, 757, 615, 831, 611, 827, 647, 863, 621, 837, 585, 801)(542, 758, 591, 807, 612, 828, 644, 860, 620, 836, 616, 832)(544, 760, 583, 799, 614, 830, 639, 855, 638, 854, 618, 834)(546, 762, 619, 835, 613, 829, 630, 846, 625, 841, 550, 766)(551, 767, 626, 842, 648, 864, 631, 847, 629, 845, 584, 800)(573, 789, 603, 819, 646, 862, 610, 826, 607, 823, 636, 852)(586, 802, 640, 856, 617, 833, 628, 844, 643, 859, 590, 806)
	L = (1, 435)(2, 439)(3, 442)(4, 444)(5, 433)(6, 449)(7, 452)(8, 434)(9, 458)(10, 461)(11, 463)(12, 466)(13, 436)(14, 471)(15, 473)(16, 437)(17, 477)(18, 438)(19, 447)(20, 485)(21, 487)(22, 490)(23, 492)(24, 440)(25, 495)(26, 497)(27, 441)(28, 502)(29, 448)(30, 506)(31, 509)(32, 443)(33, 480)(34, 515)(35, 516)(36, 518)(37, 445)(38, 496)(39, 522)(40, 446)(41, 528)(42, 530)(43, 532)(44, 455)(45, 533)(46, 534)(47, 536)(48, 500)(49, 450)(50, 498)(51, 451)(52, 521)(53, 456)(54, 531)(55, 545)(56, 453)(57, 538)(58, 548)(59, 454)(60, 552)(61, 554)(62, 555)(63, 556)(64, 457)(65, 559)(66, 560)(67, 562)(68, 563)(69, 459)(70, 493)(71, 460)(72, 569)(73, 571)(74, 494)(75, 462)(76, 558)(77, 577)(78, 578)(79, 579)(80, 464)(81, 489)(82, 465)(83, 469)(84, 499)(85, 467)(86, 589)(87, 468)(88, 470)(89, 475)(90, 593)(91, 595)(92, 510)(93, 599)(94, 472)(95, 476)(96, 539)(97, 491)(98, 602)(99, 474)(100, 605)(101, 481)(102, 581)(103, 478)(104, 609)(105, 479)(106, 482)(107, 483)(108, 484)(109, 615)(110, 591)(111, 486)(112, 583)(113, 597)(114, 619)(115, 488)(116, 601)(117, 622)(118, 546)(119, 626)(120, 600)(121, 537)(122, 568)(123, 574)(124, 520)(125, 525)(126, 567)(127, 501)(128, 513)(129, 519)(130, 588)(131, 582)(132, 633)(133, 634)(134, 606)(135, 635)(136, 503)(137, 564)(138, 504)(139, 565)(140, 505)(141, 603)(142, 507)(143, 561)(144, 508)(145, 512)(146, 566)(147, 623)(148, 511)(149, 624)(150, 514)(151, 614)(152, 551)(153, 541)(154, 640)(155, 641)(156, 517)(157, 575)(158, 586)(159, 612)(160, 572)(161, 526)(162, 570)(163, 642)(164, 523)(165, 547)(166, 524)(167, 645)(168, 527)(169, 529)(170, 543)(171, 646)(172, 557)(173, 540)(174, 598)(175, 636)(176, 535)(177, 627)(178, 607)(179, 647)(180, 644)(181, 630)(182, 639)(183, 611)(184, 542)(185, 628)(186, 544)(187, 613)(188, 616)(189, 585)(190, 580)(191, 549)(192, 608)(193, 550)(194, 648)(195, 553)(196, 643)(197, 584)(198, 625)(199, 629)(200, 604)(201, 594)(202, 592)(203, 637)(204, 573)(205, 576)(206, 618)(207, 638)(208, 617)(209, 596)(210, 587)(211, 590)(212, 620)(213, 632)(214, 610)(215, 621)(216, 631)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.3018
Graph:: bipartite
	v = 90 e = 432 f = 288
	degree seq :: [ 8^54, 12^36 ]

E28.3017 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^3, Y3^6, (Y3 * Y2^-1)^4, Y3^2 * Y2 * Y3^-2 * Y2 * Y3^2 * Y2^-1, Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1, Y3 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, (Y3^-1 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)(433, 649, 434, 650, 436, 652)(435, 651, 440, 656, 442, 658)(437, 653, 445, 661, 446, 662)(438, 654, 448, 664, 450, 666)(439, 655, 451, 667, 452, 668)(441, 657, 456, 672, 458, 674)(443, 659, 461, 677, 463, 679)(444, 660, 464, 680, 454, 670)(447, 663, 469, 685, 470, 686)(449, 665, 472, 688, 474, 690)(453, 669, 480, 696, 481, 697)(455, 671, 483, 699, 484, 700)(457, 673, 488, 704, 489, 705)(459, 675, 492, 708, 478, 694)(460, 676, 494, 710, 486, 702)(462, 678, 497, 713, 499, 715)(465, 681, 504, 720, 505, 721)(466, 682, 506, 722, 508, 724)(467, 683, 500, 716, 509, 725)(468, 684, 511, 727, 513, 729)(471, 687, 517, 733, 518, 734)(473, 689, 522, 738, 523, 739)(475, 691, 525, 741, 503, 719)(476, 692, 527, 743, 520, 736)(477, 693, 529, 745, 531, 747)(479, 695, 533, 749, 535, 751)(482, 698, 537, 753, 539, 755)(485, 701, 510, 726, 543, 759)(487, 703, 545, 761, 546, 762)(490, 706, 551, 767, 541, 757)(491, 707, 552, 768, 547, 763)(493, 709, 512, 728, 554, 770)(495, 711, 507, 723, 557, 773)(496, 712, 558, 774, 559, 775)(498, 714, 562, 778, 563, 779)(501, 717, 565, 781, 561, 777)(502, 718, 567, 783, 556, 772)(514, 730, 550, 766, 576, 792)(515, 731, 574, 790, 577, 793)(516, 732, 578, 794, 579, 795)(519, 735, 532, 748, 582, 798)(521, 737, 584, 800, 585, 801)(524, 740, 589, 805, 586, 802)(526, 742, 534, 750, 591, 807)(528, 744, 530, 746, 593, 809)(536, 752, 597, 813, 599, 815)(538, 754, 601, 817, 564, 780)(540, 756, 580, 796, 604, 820)(542, 758, 605, 821, 607, 823)(544, 760, 583, 799, 570, 786)(548, 764, 610, 826, 611, 827)(549, 765, 612, 828, 608, 824)(553, 769, 614, 830, 615, 831)(555, 771, 581, 797, 613, 829)(560, 776, 569, 785, 603, 819)(566, 782, 568, 784, 606, 822)(571, 787, 623, 839, 624, 840)(572, 788, 625, 841, 600, 816)(573, 789, 595, 811, 627, 843)(575, 791, 598, 814, 602, 818)(587, 803, 609, 825, 631, 847)(588, 804, 632, 848, 629, 845)(590, 806, 634, 850, 635, 851)(592, 808, 618, 834, 633, 849)(594, 810, 616, 832, 637, 853)(596, 812, 617, 833, 638, 854)(619, 835, 630, 846, 643, 859)(620, 836, 640, 856, 628, 844)(621, 837, 644, 860, 626, 842)(622, 838, 636, 852, 645, 861)(639, 855, 641, 857, 646, 862)(642, 858, 647, 863, 648, 864)
	L = (1, 435)(2, 438)(3, 441)(4, 443)(5, 433)(6, 449)(7, 434)(8, 454)(9, 457)(10, 459)(11, 462)(12, 436)(13, 466)(14, 468)(15, 437)(16, 446)(17, 473)(18, 475)(19, 477)(20, 479)(21, 439)(22, 482)(23, 440)(24, 486)(25, 447)(26, 490)(27, 493)(28, 442)(29, 452)(30, 498)(31, 500)(32, 502)(33, 444)(34, 507)(35, 445)(36, 512)(37, 514)(38, 516)(39, 448)(40, 520)(41, 453)(42, 491)(43, 526)(44, 450)(45, 530)(46, 451)(47, 534)(48, 515)(49, 487)(50, 538)(51, 540)(52, 542)(53, 455)(54, 544)(55, 456)(56, 547)(57, 549)(58, 499)(59, 458)(60, 484)(61, 553)(62, 555)(63, 460)(64, 461)(65, 561)(66, 465)(67, 524)(68, 564)(69, 463)(70, 568)(71, 464)(72, 536)(73, 521)(74, 470)(75, 571)(76, 527)(77, 559)(78, 467)(79, 509)(80, 519)(81, 574)(82, 504)(83, 469)(84, 497)(85, 580)(86, 581)(87, 471)(88, 583)(89, 472)(90, 586)(91, 588)(92, 474)(93, 518)(94, 590)(95, 592)(96, 476)(97, 481)(98, 594)(99, 565)(100, 478)(101, 492)(102, 560)(103, 597)(104, 480)(105, 525)(106, 485)(107, 550)(108, 603)(109, 483)(110, 606)(111, 548)(112, 529)(113, 599)(114, 609)(115, 517)(116, 488)(117, 554)(118, 489)(119, 546)(120, 585)(121, 495)(122, 602)(123, 616)(124, 494)(125, 600)(126, 604)(127, 618)(128, 496)(129, 570)(130, 541)(131, 620)(132, 621)(133, 607)(134, 501)(135, 505)(136, 622)(137, 503)(138, 506)(139, 510)(140, 508)(141, 511)(142, 523)(143, 513)(144, 625)(145, 627)(146, 577)(147, 610)(148, 543)(149, 557)(150, 587)(151, 567)(152, 576)(153, 630)(154, 558)(155, 522)(156, 591)(157, 579)(158, 528)(159, 575)(160, 636)(161, 573)(162, 532)(163, 531)(164, 533)(165, 563)(166, 535)(167, 638)(168, 537)(169, 598)(170, 539)(171, 619)(172, 582)(173, 551)(174, 596)(175, 623)(176, 545)(177, 637)(178, 624)(179, 640)(180, 611)(181, 552)(182, 608)(183, 595)(184, 635)(185, 556)(186, 593)(187, 562)(188, 601)(189, 566)(190, 569)(191, 615)(192, 646)(193, 647)(194, 572)(195, 648)(196, 578)(197, 584)(198, 645)(199, 612)(200, 631)(201, 589)(202, 629)(203, 617)(204, 626)(205, 639)(206, 642)(207, 605)(208, 643)(209, 613)(210, 614)(211, 632)(212, 628)(213, 641)(214, 633)(215, 634)(216, 644)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 8, 12 ), ( 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3015
Graph:: simple bipartite
	v = 288 e = 432 f = 90
	degree seq :: [ 2^216, 6^72 ]

E28.3018 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^6, (Y3 * Y2)^3, (Y2^-1 * Y3)^4, Y3 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3 * Y2^-1, Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-3, (Y3^-1 * Y1^-1)^6, Y2 * Y3^2 * Y2 * Y3^-1 * Y2^-1 * Y3^2 * Y2^-1 * Y3^2 * Y2^-1 * Y3^-1 ]
Map:: polytopal
	R = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)(433, 649, 434, 650, 436, 652)(435, 651, 440, 656, 442, 658)(437, 653, 445, 661, 446, 662)(438, 654, 448, 664, 450, 666)(439, 655, 451, 667, 452, 668)(441, 657, 456, 672, 458, 674)(443, 659, 461, 677, 463, 679)(444, 660, 464, 680, 454, 670)(447, 663, 469, 685, 470, 686)(449, 665, 472, 688, 474, 690)(453, 669, 480, 696, 481, 697)(455, 671, 483, 699, 484, 700)(457, 673, 488, 704, 489, 705)(459, 675, 492, 708, 478, 694)(460, 676, 494, 710, 486, 702)(462, 678, 497, 713, 499, 715)(465, 681, 504, 720, 505, 721)(466, 682, 506, 722, 508, 724)(467, 683, 500, 716, 509, 725)(468, 684, 511, 727, 513, 729)(471, 687, 517, 733, 518, 734)(473, 689, 522, 738, 523, 739)(475, 691, 526, 742, 503, 719)(476, 692, 528, 744, 520, 736)(477, 693, 530, 746, 532, 748)(479, 695, 534, 750, 536, 752)(482, 698, 540, 756, 542, 758)(485, 701, 546, 762, 547, 763)(487, 703, 531, 747, 548, 764)(490, 706, 553, 769, 544, 760)(491, 707, 555, 771, 550, 766)(493, 709, 524, 740, 557, 773)(495, 711, 539, 755, 560, 776)(496, 712, 561, 777, 562, 778)(498, 714, 565, 781, 566, 782)(501, 717, 569, 785, 551, 767)(502, 718, 570, 786, 559, 775)(507, 723, 574, 790, 564, 780)(510, 726, 576, 792, 554, 770)(512, 728, 549, 765, 578, 794)(514, 730, 552, 768, 579, 795)(515, 731, 533, 749, 580, 796)(516, 732, 581, 797, 543, 759)(519, 735, 583, 799, 584, 800)(521, 737, 571, 787, 585, 801)(525, 741, 589, 805, 587, 803)(527, 743, 567, 783, 590, 806)(529, 745, 573, 789, 592, 808)(535, 751, 586, 802, 595, 811)(537, 753, 588, 804, 596, 812)(538, 754, 572, 788, 597, 813)(541, 757, 599, 815, 600, 816)(545, 761, 601, 817, 603, 819)(556, 772, 606, 822, 610, 826)(558, 774, 612, 828, 609, 825)(563, 779, 616, 832, 617, 833)(568, 784, 619, 835, 618, 834)(575, 791, 622, 838, 621, 837)(577, 793, 625, 841, 626, 842)(582, 798, 611, 827, 623, 839)(591, 807, 628, 844, 635, 851)(593, 809, 637, 853, 607, 823)(594, 810, 639, 855, 640, 856)(598, 814, 613, 829, 624, 840)(602, 818, 632, 848, 627, 843)(604, 820, 642, 858, 644, 860)(605, 821, 614, 830, 645, 861)(608, 824, 634, 850, 630, 846)(615, 831, 636, 852, 638, 854)(620, 836, 631, 847, 647, 863)(629, 845, 646, 862, 633, 849)(641, 857, 648, 864, 643, 859)
	L = (1, 435)(2, 438)(3, 441)(4, 443)(5, 433)(6, 449)(7, 434)(8, 454)(9, 457)(10, 459)(11, 462)(12, 436)(13, 466)(14, 468)(15, 437)(16, 446)(17, 473)(18, 475)(19, 477)(20, 479)(21, 439)(22, 482)(23, 440)(24, 486)(25, 447)(26, 490)(27, 493)(28, 442)(29, 452)(30, 498)(31, 500)(32, 502)(33, 444)(34, 507)(35, 445)(36, 512)(37, 514)(38, 516)(39, 448)(40, 520)(41, 453)(42, 524)(43, 527)(44, 450)(45, 531)(46, 451)(47, 535)(48, 537)(49, 539)(50, 541)(51, 543)(52, 545)(53, 455)(54, 522)(55, 456)(56, 550)(57, 530)(58, 554)(59, 458)(60, 484)(61, 517)(62, 558)(63, 460)(64, 461)(65, 551)(66, 465)(67, 567)(68, 544)(69, 463)(70, 571)(71, 464)(72, 556)(73, 573)(74, 470)(75, 542)(76, 528)(77, 562)(78, 467)(79, 509)(80, 519)(81, 533)(82, 525)(83, 469)(84, 547)(85, 495)(86, 582)(87, 471)(88, 565)(89, 472)(90, 587)(91, 570)(92, 515)(93, 474)(94, 518)(95, 561)(96, 591)(97, 476)(98, 481)(99, 513)(100, 569)(101, 478)(102, 492)(103, 563)(104, 572)(105, 568)(106, 480)(107, 584)(108, 526)(109, 485)(110, 510)(111, 501)(112, 483)(113, 602)(114, 604)(115, 606)(116, 607)(117, 487)(118, 599)(119, 488)(120, 489)(121, 548)(122, 504)(123, 608)(124, 491)(125, 585)(126, 613)(127, 494)(128, 597)(129, 529)(130, 615)(131, 496)(132, 497)(133, 618)(134, 506)(135, 538)(136, 499)(137, 620)(138, 505)(139, 536)(140, 503)(141, 617)(142, 621)(143, 508)(144, 624)(145, 511)(146, 628)(147, 622)(148, 626)(149, 580)(150, 632)(151, 633)(152, 552)(153, 605)(154, 521)(155, 549)(156, 523)(157, 634)(158, 574)(159, 625)(160, 576)(161, 532)(162, 534)(163, 631)(164, 637)(165, 640)(166, 540)(167, 564)(168, 612)(169, 553)(170, 594)(171, 614)(172, 611)(173, 546)(174, 566)(175, 616)(176, 596)(177, 555)(178, 645)(179, 557)(180, 560)(181, 603)(182, 559)(183, 627)(184, 643)(185, 588)(186, 586)(187, 630)(188, 639)(189, 583)(190, 644)(191, 575)(192, 629)(193, 623)(194, 641)(195, 577)(196, 592)(197, 578)(198, 579)(199, 581)(200, 598)(201, 636)(202, 610)(203, 589)(204, 590)(205, 646)(206, 593)(207, 638)(208, 642)(209, 595)(210, 600)(211, 601)(212, 647)(213, 648)(214, 609)(215, 619)(216, 635)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 8, 12 ), ( 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3016
Graph:: simple bipartite
	v = 288 e = 432 f = 90
	degree seq :: [ 2^216, 6^72 ]

E28.3019 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y3^-1)^3, (Y3 * Y2^-1)^3, Y1^6, (Y3^-1 * Y1^-1)^4, Y1^-2 * Y3 * Y1^2 * Y3 * Y1^-2 * Y3^-1, Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1 * Y3 ]
Map:: polytopal
	R = (1, 217, 2, 218, 6, 222, 16, 232, 12, 228, 4, 220)(3, 219, 9, 225, 23, 239, 54, 270, 26, 242, 10, 226)(5, 221, 14, 230, 34, 250, 76, 292, 37, 253, 15, 231)(7, 223, 19, 235, 45, 261, 95, 311, 48, 264, 20, 236)(8, 224, 21, 237, 50, 266, 102, 318, 52, 268, 22, 238)(11, 227, 28, 244, 64, 280, 124, 340, 67, 283, 29, 245)(13, 229, 32, 248, 72, 288, 135, 351, 75, 291, 33, 249)(17, 233, 41, 257, 55, 271, 110, 326, 77, 293, 42, 258)(18, 234, 43, 259, 92, 308, 145, 361, 82, 298, 44, 260)(24, 240, 57, 273, 112, 328, 179, 395, 113, 329, 58, 274)(25, 241, 36, 252, 81, 297, 143, 359, 116, 332, 59, 275)(27, 243, 62, 278, 121, 337, 182, 398, 123, 339, 63, 279)(30, 246, 68, 284, 56, 272, 111, 327, 132, 348, 69, 285)(31, 247, 70, 286, 61, 277, 120, 336, 83, 299, 71, 287)(35, 251, 79, 295, 141, 357, 196, 412, 142, 358, 80, 296)(38, 254, 84, 300, 146, 362, 161, 377, 97, 313, 46, 262)(39, 255, 85, 301, 96, 312, 160, 376, 103, 319, 86, 302)(40, 256, 87, 303, 129, 345, 171, 387, 106, 322, 88, 304)(47, 263, 51, 267, 105, 321, 169, 385, 163, 379, 98, 314)(49, 265, 100, 316, 166, 382, 205, 421, 167, 383, 101, 317)(53, 269, 107, 323, 172, 388, 176, 392, 109, 325, 89, 305)(60, 276, 118, 334, 78, 294, 140, 356, 155, 371, 119, 335)(65, 281, 125, 341, 138, 354, 194, 410, 183, 399, 126, 342)(66, 282, 74, 290, 115, 331, 180, 396, 186, 402, 127, 343)(73, 289, 136, 352, 192, 408, 211, 427, 193, 409, 137, 353)(90, 306, 93, 309, 156, 372, 202, 418, 199, 415, 152, 368)(91, 307, 153, 369, 200, 416, 210, 426, 201, 417, 154, 370)(94, 310, 157, 373, 203, 419, 204, 420, 159, 375, 148, 364)(99, 315, 164, 380, 104, 320, 122, 338, 128, 344, 165, 381)(108, 324, 174, 390, 168, 384, 184, 400, 144, 360, 175, 391)(114, 330, 170, 386, 191, 407, 158, 374, 187, 403, 147, 363)(117, 333, 173, 389, 162, 378, 195, 411, 139, 355, 177, 393)(130, 346, 151, 367, 190, 406, 214, 430, 207, 423, 178, 394)(131, 347, 134, 350, 185, 401, 212, 428, 208, 424, 188, 404)(133, 349, 189, 405, 213, 429, 216, 432, 209, 425, 181, 397)(149, 365, 150, 366, 198, 414, 206, 422, 215, 431, 197, 413)(433, 649)(434, 650)(435, 651)(436, 652)(437, 653)(438, 654)(439, 655)(440, 656)(441, 657)(442, 658)(443, 659)(444, 660)(445, 661)(446, 662)(447, 663)(448, 664)(449, 665)(450, 666)(451, 667)(452, 668)(453, 669)(454, 670)(455, 671)(456, 672)(457, 673)(458, 674)(459, 675)(460, 676)(461, 677)(462, 678)(463, 679)(464, 680)(465, 681)(466, 682)(467, 683)(468, 684)(469, 685)(470, 686)(471, 687)(472, 688)(473, 689)(474, 690)(475, 691)(476, 692)(477, 693)(478, 694)(479, 695)(480, 696)(481, 697)(482, 698)(483, 699)(484, 700)(485, 701)(486, 702)(487, 703)(488, 704)(489, 705)(490, 706)(491, 707)(492, 708)(493, 709)(494, 710)(495, 711)(496, 712)(497, 713)(498, 714)(499, 715)(500, 716)(501, 717)(502, 718)(503, 719)(504, 720)(505, 721)(506, 722)(507, 723)(508, 724)(509, 725)(510, 726)(511, 727)(512, 728)(513, 729)(514, 730)(515, 731)(516, 732)(517, 733)(518, 734)(519, 735)(520, 736)(521, 737)(522, 738)(523, 739)(524, 740)(525, 741)(526, 742)(527, 743)(528, 744)(529, 745)(530, 746)(531, 747)(532, 748)(533, 749)(534, 750)(535, 751)(536, 752)(537, 753)(538, 754)(539, 755)(540, 756)(541, 757)(542, 758)(543, 759)(544, 760)(545, 761)(546, 762)(547, 763)(548, 764)(549, 765)(550, 766)(551, 767)(552, 768)(553, 769)(554, 770)(555, 771)(556, 772)(557, 773)(558, 774)(559, 775)(560, 776)(561, 777)(562, 778)(563, 779)(564, 780)(565, 781)(566, 782)(567, 783)(568, 784)(569, 785)(570, 786)(571, 787)(572, 788)(573, 789)(574, 790)(575, 791)(576, 792)(577, 793)(578, 794)(579, 795)(580, 796)(581, 797)(582, 798)(583, 799)(584, 800)(585, 801)(586, 802)(587, 803)(588, 804)(589, 805)(590, 806)(591, 807)(592, 808)(593, 809)(594, 810)(595, 811)(596, 812)(597, 813)(598, 814)(599, 815)(600, 816)(601, 817)(602, 818)(603, 819)(604, 820)(605, 821)(606, 822)(607, 823)(608, 824)(609, 825)(610, 826)(611, 827)(612, 828)(613, 829)(614, 830)(615, 831)(616, 832)(617, 833)(618, 834)(619, 835)(620, 836)(621, 837)(622, 838)(623, 839)(624, 840)(625, 841)(626, 842)(627, 843)(628, 844)(629, 845)(630, 846)(631, 847)(632, 848)(633, 849)(634, 850)(635, 851)(636, 852)(637, 853)(638, 854)(639, 855)(640, 856)(641, 857)(642, 858)(643, 859)(644, 860)(645, 861)(646, 862)(647, 863)(648, 864)
	L = (1, 435)(2, 439)(3, 437)(4, 443)(5, 433)(6, 449)(7, 440)(8, 434)(9, 456)(10, 453)(11, 445)(12, 462)(13, 436)(14, 467)(15, 468)(16, 471)(17, 450)(18, 438)(19, 478)(20, 475)(21, 459)(22, 483)(23, 487)(24, 457)(25, 441)(26, 492)(27, 442)(28, 497)(29, 446)(30, 463)(31, 444)(32, 505)(33, 506)(34, 509)(35, 461)(36, 470)(37, 514)(38, 447)(39, 472)(40, 448)(41, 521)(42, 519)(43, 481)(44, 525)(45, 528)(46, 479)(47, 451)(48, 531)(49, 452)(50, 535)(51, 485)(52, 538)(53, 454)(54, 540)(55, 488)(56, 455)(57, 465)(58, 543)(59, 547)(60, 493)(61, 458)(62, 533)(63, 554)(64, 477)(65, 498)(66, 460)(67, 560)(68, 562)(69, 464)(70, 565)(71, 566)(72, 480)(73, 501)(74, 489)(75, 484)(76, 570)(77, 510)(78, 466)(79, 495)(80, 572)(81, 576)(82, 515)(83, 469)(84, 579)(85, 580)(86, 502)(87, 523)(88, 582)(89, 522)(90, 473)(91, 474)(92, 564)(93, 526)(94, 476)(95, 590)(96, 496)(97, 556)(98, 513)(99, 504)(100, 586)(101, 551)(102, 544)(103, 536)(104, 482)(105, 602)(106, 507)(107, 605)(108, 541)(109, 486)(110, 609)(111, 546)(112, 600)(113, 601)(114, 490)(115, 549)(116, 604)(117, 491)(118, 585)(119, 494)(120, 589)(121, 545)(122, 511)(123, 548)(124, 594)(125, 503)(126, 592)(127, 617)(128, 561)(129, 499)(130, 563)(131, 500)(132, 587)(133, 518)(134, 557)(135, 622)(136, 512)(137, 596)(138, 571)(139, 508)(140, 568)(141, 615)(142, 618)(143, 573)(144, 530)(145, 516)(146, 574)(147, 577)(148, 581)(149, 517)(150, 583)(151, 520)(152, 537)(153, 613)(154, 597)(155, 524)(156, 627)(157, 607)(158, 591)(159, 527)(160, 616)(161, 634)(162, 529)(163, 635)(164, 621)(165, 532)(166, 593)(167, 595)(168, 534)(169, 553)(170, 584)(171, 539)(172, 555)(173, 603)(174, 620)(175, 552)(176, 638)(177, 610)(178, 542)(179, 625)(180, 624)(181, 550)(182, 642)(183, 575)(184, 558)(185, 619)(186, 578)(187, 559)(188, 630)(189, 569)(190, 623)(191, 567)(192, 639)(193, 640)(194, 641)(195, 629)(196, 637)(197, 588)(198, 606)(199, 646)(200, 608)(201, 631)(202, 598)(203, 599)(204, 644)(205, 648)(206, 632)(207, 612)(208, 611)(209, 647)(210, 643)(211, 614)(212, 645)(213, 636)(214, 633)(215, 626)(216, 628)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.3013
Graph:: simple bipartite
	v = 252 e = 432 f = 126
	degree seq :: [ 2^216, 12^36 ]

E28.3020 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y3^-1)^3, Y1^6, (Y3 * Y2^-1)^3, (Y1^-1 * Y3^-1)^4, (Y3^-1 * Y1^-1)^4, Y1 * Y3 * Y1^-3 * Y3 * Y1^2 * Y3^-1 * Y1, Y1^3 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3, Y1^2 * Y3^-1 * Y1^-1 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^-1 * Y3^-1 ]
Map:: polytopal
	R = (1, 217, 2, 218, 6, 222, 16, 232, 12, 228, 4, 220)(3, 219, 9, 225, 23, 239, 54, 270, 26, 242, 10, 226)(5, 221, 14, 230, 34, 250, 76, 292, 37, 253, 15, 231)(7, 223, 19, 235, 45, 261, 98, 314, 48, 264, 20, 236)(8, 224, 21, 237, 50, 266, 107, 323, 52, 268, 22, 238)(11, 227, 28, 244, 64, 280, 128, 344, 67, 283, 29, 245)(13, 229, 32, 248, 72, 288, 108, 324, 75, 291, 33, 249)(17, 233, 41, 257, 89, 305, 61, 277, 92, 308, 42, 258)(18, 234, 43, 259, 94, 310, 157, 373, 96, 312, 44, 260)(24, 240, 57, 273, 90, 306, 53, 269, 113, 329, 58, 274)(25, 241, 36, 252, 81, 297, 145, 361, 121, 337, 59, 275)(27, 243, 62, 278, 125, 341, 146, 362, 127, 343, 63, 279)(30, 246, 68, 284, 111, 327, 154, 370, 114, 330, 69, 285)(31, 247, 70, 286, 133, 349, 77, 293, 100, 316, 71, 287)(35, 251, 79, 295, 143, 359, 122, 338, 144, 360, 80, 296)(38, 254, 84, 300, 97, 313, 65, 281, 101, 317, 46, 262)(39, 255, 85, 301, 82, 298, 104, 320, 150, 366, 86, 302)(40, 256, 87, 303, 151, 367, 118, 334, 56, 272, 88, 304)(47, 263, 51, 267, 110, 326, 168, 384, 161, 377, 102, 318)(49, 265, 105, 321, 164, 380, 169, 385, 165, 381, 106, 322)(55, 271, 116, 332, 148, 364, 83, 299, 147, 363, 117, 333)(60, 276, 123, 339, 177, 393, 195, 411, 140, 356, 124, 340)(66, 282, 74, 290, 120, 336, 176, 392, 184, 400, 130, 346)(73, 289, 137, 353, 192, 408, 185, 401, 193, 409, 138, 354)(78, 294, 141, 357, 115, 331, 172, 388, 196, 412, 142, 358)(91, 307, 95, 311, 158, 374, 178, 394, 200, 416, 152, 368)(93, 309, 155, 371, 198, 414, 204, 420, 203, 419, 156, 372)(99, 315, 159, 375, 171, 387, 112, 328, 170, 386, 160, 376)(103, 319, 162, 378, 205, 421, 207, 423, 166, 382, 163, 379)(109, 325, 126, 342, 131, 347, 186, 402, 208, 424, 167, 383)(119, 335, 175, 391, 206, 422, 212, 428, 199, 415, 149, 365)(129, 345, 181, 397, 179, 395, 139, 355, 194, 410, 182, 398)(132, 348, 135, 351, 183, 399, 215, 431, 197, 413, 187, 403)(134, 350, 189, 405, 209, 425, 211, 427, 174, 390, 190, 406)(136, 352, 191, 407, 180, 396, 213, 429, 210, 426, 173, 389)(153, 369, 201, 417, 216, 432, 214, 430, 188, 404, 202, 418)(433, 649)(434, 650)(435, 651)(436, 652)(437, 653)(438, 654)(439, 655)(440, 656)(441, 657)(442, 658)(443, 659)(444, 660)(445, 661)(446, 662)(447, 663)(448, 664)(449, 665)(450, 666)(451, 667)(452, 668)(453, 669)(454, 670)(455, 671)(456, 672)(457, 673)(458, 674)(459, 675)(460, 676)(461, 677)(462, 678)(463, 679)(464, 680)(465, 681)(466, 682)(467, 683)(468, 684)(469, 685)(470, 686)(471, 687)(472, 688)(473, 689)(474, 690)(475, 691)(476, 692)(477, 693)(478, 694)(479, 695)(480, 696)(481, 697)(482, 698)(483, 699)(484, 700)(485, 701)(486, 702)(487, 703)(488, 704)(489, 705)(490, 706)(491, 707)(492, 708)(493, 709)(494, 710)(495, 711)(496, 712)(497, 713)(498, 714)(499, 715)(500, 716)(501, 717)(502, 718)(503, 719)(504, 720)(505, 721)(506, 722)(507, 723)(508, 724)(509, 725)(510, 726)(511, 727)(512, 728)(513, 729)(514, 730)(515, 731)(516, 732)(517, 733)(518, 734)(519, 735)(520, 736)(521, 737)(522, 738)(523, 739)(524, 740)(525, 741)(526, 742)(527, 743)(528, 744)(529, 745)(530, 746)(531, 747)(532, 748)(533, 749)(534, 750)(535, 751)(536, 752)(537, 753)(538, 754)(539, 755)(540, 756)(541, 757)(542, 758)(543, 759)(544, 760)(545, 761)(546, 762)(547, 763)(548, 764)(549, 765)(550, 766)(551, 767)(552, 768)(553, 769)(554, 770)(555, 771)(556, 772)(557, 773)(558, 774)(559, 775)(560, 776)(561, 777)(562, 778)(563, 779)(564, 780)(565, 781)(566, 782)(567, 783)(568, 784)(569, 785)(570, 786)(571, 787)(572, 788)(573, 789)(574, 790)(575, 791)(576, 792)(577, 793)(578, 794)(579, 795)(580, 796)(581, 797)(582, 798)(583, 799)(584, 800)(585, 801)(586, 802)(587, 803)(588, 804)(589, 805)(590, 806)(591, 807)(592, 808)(593, 809)(594, 810)(595, 811)(596, 812)(597, 813)(598, 814)(599, 815)(600, 816)(601, 817)(602, 818)(603, 819)(604, 820)(605, 821)(606, 822)(607, 823)(608, 824)(609, 825)(610, 826)(611, 827)(612, 828)(613, 829)(614, 830)(615, 831)(616, 832)(617, 833)(618, 834)(619, 835)(620, 836)(621, 837)(622, 838)(623, 839)(624, 840)(625, 841)(626, 842)(627, 843)(628, 844)(629, 845)(630, 846)(631, 847)(632, 848)(633, 849)(634, 850)(635, 851)(636, 852)(637, 853)(638, 854)(639, 855)(640, 856)(641, 857)(642, 858)(643, 859)(644, 860)(645, 861)(646, 862)(647, 863)(648, 864)
	L = (1, 435)(2, 439)(3, 437)(4, 443)(5, 433)(6, 449)(7, 440)(8, 434)(9, 456)(10, 453)(11, 445)(12, 462)(13, 436)(14, 467)(15, 468)(16, 471)(17, 450)(18, 438)(19, 478)(20, 475)(21, 459)(22, 483)(23, 487)(24, 457)(25, 441)(26, 492)(27, 442)(28, 497)(29, 446)(30, 463)(31, 444)(32, 505)(33, 506)(34, 509)(35, 461)(36, 470)(37, 514)(38, 447)(39, 472)(40, 448)(41, 522)(42, 519)(43, 481)(44, 527)(45, 531)(46, 479)(47, 451)(48, 535)(49, 452)(50, 540)(51, 485)(52, 543)(53, 454)(54, 546)(55, 488)(56, 455)(57, 465)(58, 520)(59, 552)(60, 493)(61, 458)(62, 538)(63, 558)(64, 561)(65, 498)(66, 460)(67, 563)(68, 545)(69, 464)(70, 566)(71, 567)(72, 550)(73, 501)(74, 489)(75, 521)(76, 572)(77, 510)(78, 466)(79, 495)(80, 573)(81, 578)(82, 515)(83, 469)(84, 581)(85, 516)(86, 502)(87, 525)(88, 551)(89, 571)(90, 523)(91, 473)(92, 585)(93, 474)(94, 508)(95, 529)(96, 496)(97, 476)(98, 499)(99, 532)(100, 477)(101, 503)(102, 513)(103, 536)(104, 480)(105, 588)(106, 556)(107, 598)(108, 541)(109, 482)(110, 601)(111, 544)(112, 484)(113, 564)(114, 547)(115, 486)(116, 575)(117, 604)(118, 568)(119, 490)(120, 554)(121, 609)(122, 491)(123, 576)(124, 494)(125, 574)(126, 511)(127, 580)(128, 582)(129, 528)(130, 615)(131, 530)(132, 500)(133, 589)(134, 518)(135, 533)(136, 504)(137, 512)(138, 623)(139, 507)(140, 526)(141, 569)(142, 591)(143, 605)(144, 611)(145, 629)(146, 534)(147, 630)(148, 594)(149, 517)(150, 612)(151, 539)(152, 542)(153, 586)(154, 524)(155, 622)(156, 595)(157, 620)(158, 636)(159, 557)(160, 618)(161, 637)(162, 559)(163, 537)(164, 599)(165, 603)(166, 583)(167, 626)(168, 616)(169, 584)(170, 641)(171, 633)(172, 606)(173, 548)(174, 549)(175, 643)(176, 644)(177, 610)(178, 553)(179, 555)(180, 560)(181, 624)(182, 645)(183, 617)(184, 640)(185, 562)(186, 625)(187, 607)(188, 565)(189, 570)(190, 634)(191, 621)(192, 646)(193, 592)(194, 596)(195, 579)(196, 577)(197, 628)(198, 627)(199, 590)(200, 648)(201, 597)(202, 587)(203, 614)(204, 631)(205, 638)(206, 593)(207, 602)(208, 600)(209, 639)(210, 608)(211, 619)(212, 642)(213, 635)(214, 613)(215, 632)(216, 647)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.3014
Graph:: simple bipartite
	v = 252 e = 432 f = 126
	degree seq :: [ 2^216, 12^36 ]

E28.3021 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y1^3, Y1 * Y3^-2, (R * Y1)^2, (R * Y3)^2, Y2^6, Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4, Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1, Y2^2 * Y1 * Y2^-2 * Y1^-1 * Y2^-2 * Y3^-1, Y2 * Y3 * Y2^-2 * Y1^-1 * Y2^2 * Y3^-1 * Y2, Y3^-2 * Y2^-2 * Y3 * Y1^-1 * Y3 * Y2^2 * Y1, Y2 * Y3 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y2 * Y3 * Y2^-1 * Y3 * Y2^2 * Y3 * Y2^2 * Y3^-1 * Y2^-1 * Y1^-1 ]
Map::
	R = (1, 217, 2, 218, 4, 220)(3, 219, 8, 224, 10, 226)(5, 221, 13, 229, 14, 230)(6, 222, 16, 232, 18, 234)(7, 223, 19, 235, 20, 236)(9, 225, 24, 240, 26, 242)(11, 227, 28, 244, 30, 246)(12, 228, 31, 247, 32, 248)(15, 231, 37, 253, 38, 254)(17, 233, 41, 257, 43, 259)(21, 237, 48, 264, 49, 265)(22, 238, 50, 266, 52, 268)(23, 239, 53, 269, 54, 270)(25, 241, 58, 274, 59, 275)(27, 243, 61, 277, 62, 278)(29, 245, 66, 282, 68, 284)(33, 249, 72, 288, 73, 289)(34, 250, 74, 290, 76, 292)(35, 251, 77, 293, 79, 295)(36, 252, 80, 296, 39, 255)(40, 256, 86, 302, 87, 303)(42, 258, 90, 306, 91, 307)(44, 260, 92, 308, 93, 309)(45, 261, 95, 311, 97, 313)(46, 262, 98, 314, 100, 316)(47, 263, 101, 317, 64, 280)(51, 267, 106, 322, 75, 291)(55, 271, 111, 327, 78, 294)(56, 272, 112, 328, 113, 329)(57, 273, 114, 330, 115, 331)(60, 276, 119, 335, 120, 336)(63, 279, 123, 339, 81, 297)(65, 281, 125, 341, 126, 342)(67, 283, 128, 344, 129, 345)(69, 285, 130, 346, 131, 347)(70, 286, 133, 349, 108, 324)(71, 287, 135, 351, 137, 353)(82, 298, 144, 360, 145, 361)(83, 299, 146, 362, 117, 333)(84, 300, 147, 363, 138, 354)(85, 301, 148, 364, 96, 312)(88, 304, 151, 367, 99, 315)(89, 305, 152, 368, 153, 369)(94, 310, 159, 375, 102, 318)(103, 319, 165, 381, 166, 382)(104, 320, 167, 383, 155, 371)(105, 321, 132, 348, 168, 384)(107, 323, 170, 386, 171, 387)(109, 325, 143, 359, 164, 380)(110, 326, 173, 389, 175, 391)(116, 332, 177, 393, 178, 394)(118, 334, 179, 395, 180, 396)(121, 337, 150, 366, 176, 392)(122, 338, 158, 374, 182, 398)(124, 340, 183, 399, 134, 350)(127, 343, 186, 402, 136, 352)(139, 355, 160, 376, 189, 405)(140, 356, 191, 407, 190, 406)(141, 357, 161, 377, 192, 408)(142, 358, 194, 410, 195, 411)(149, 365, 193, 409, 197, 413)(154, 370, 196, 412, 199, 415)(156, 372, 200, 416, 201, 417)(157, 373, 185, 401, 198, 414)(162, 378, 172, 388, 202, 418)(163, 379, 204, 420, 205, 421)(169, 385, 207, 423, 174, 390)(181, 397, 188, 404, 211, 427)(184, 400, 203, 419, 212, 428)(187, 403, 206, 422, 213, 429)(208, 424, 214, 430, 215, 431)(209, 425, 210, 426, 216, 432)(433, 649, 435, 651, 441, 657, 457, 673, 447, 663, 437, 653)(434, 650, 438, 654, 449, 665, 474, 690, 453, 669, 439, 655)(436, 652, 443, 659, 461, 677, 499, 715, 465, 681, 444, 660)(440, 656, 454, 670, 483, 699, 539, 755, 487, 703, 455, 671)(442, 658, 451, 667, 477, 693, 528, 744, 495, 711, 459, 675)(445, 661, 466, 682, 507, 723, 564, 780, 501, 717, 462, 678)(446, 662, 467, 683, 510, 726, 574, 790, 513, 729, 468, 684)(448, 664, 471, 687, 517, 733, 581, 797, 520, 736, 472, 688)(450, 666, 463, 679, 502, 718, 566, 782, 526, 742, 476, 692)(452, 668, 478, 694, 531, 747, 595, 811, 534, 750, 479, 695)(456, 672, 488, 704, 473, 689, 521, 737, 498, 714, 489, 705)(458, 674, 485, 701, 541, 757, 569, 785, 504, 720, 492, 708)(460, 676, 496, 712, 556, 772, 616, 832, 559, 775, 497, 713)(464, 680, 503, 719, 568, 784, 601, 817, 537, 753, 482, 698)(469, 685, 514, 730, 475, 691, 518, 734, 575, 791, 511, 727)(470, 686, 515, 731, 481, 697, 536, 752, 505, 721, 516, 732)(480, 696, 535, 751, 500, 716, 557, 773, 596, 812, 532, 748)(484, 700, 493, 709, 553, 769, 583, 799, 604, 820, 540, 756)(486, 702, 542, 758, 606, 822, 635, 851, 594, 810, 530, 746)(490, 706, 548, 764, 538, 754, 592, 808, 527, 743, 549, 765)(491, 707, 546, 762, 563, 779, 614, 830, 555, 771, 550, 766)(494, 710, 554, 770, 591, 807, 588, 804, 523, 739, 544, 760)(506, 722, 570, 786, 560, 776, 619, 835, 615, 831, 571, 787)(508, 724, 512, 728, 524, 740, 589, 805, 618, 834, 572, 788)(509, 725, 558, 774, 617, 833, 637, 853, 625, 841, 573, 789)(519, 735, 582, 798, 627, 843, 602, 818, 622, 838, 567, 783)(522, 738, 586, 802, 580, 796, 621, 837, 565, 781, 587, 803)(525, 741, 590, 806, 600, 816, 620, 836, 561, 777, 584, 800)(529, 745, 533, 749, 562, 778, 607, 823, 543, 759, 593, 809)(545, 761, 551, 767, 613, 829, 639, 855, 642, 858, 608, 824)(547, 763, 597, 813, 633, 849, 636, 852, 641, 857, 605, 821)(552, 768, 599, 815, 634, 850, 640, 856, 603, 819, 609, 825)(576, 792, 612, 828, 626, 842, 648, 864, 630, 846, 585, 801)(577, 793, 579, 795, 623, 839, 646, 862, 629, 845, 628, 844)(578, 794, 624, 840, 647, 863, 644, 860, 638, 854, 598, 814)(610, 826, 611, 827, 631, 847, 632, 848, 645, 861, 643, 859)
	L = (1, 436)(2, 433)(3, 442)(4, 434)(5, 446)(6, 450)(7, 452)(8, 435)(9, 458)(10, 440)(11, 462)(12, 464)(13, 437)(14, 445)(15, 470)(16, 438)(17, 475)(18, 448)(19, 439)(20, 451)(21, 481)(22, 484)(23, 486)(24, 441)(25, 491)(26, 456)(27, 494)(28, 443)(29, 500)(30, 460)(31, 444)(32, 463)(33, 505)(34, 508)(35, 511)(36, 471)(37, 447)(38, 469)(39, 512)(40, 519)(41, 449)(42, 523)(43, 473)(44, 525)(45, 529)(46, 532)(47, 496)(48, 453)(49, 480)(50, 454)(51, 507)(52, 482)(53, 455)(54, 485)(55, 510)(56, 545)(57, 547)(58, 457)(59, 490)(60, 552)(61, 459)(62, 493)(63, 513)(64, 533)(65, 558)(66, 461)(67, 561)(68, 498)(69, 563)(70, 540)(71, 569)(72, 465)(73, 504)(74, 466)(75, 538)(76, 506)(77, 467)(78, 543)(79, 509)(80, 468)(81, 555)(82, 577)(83, 549)(84, 570)(85, 528)(86, 472)(87, 518)(88, 531)(89, 585)(90, 474)(91, 522)(92, 476)(93, 524)(94, 534)(95, 477)(96, 580)(97, 527)(98, 478)(99, 583)(100, 530)(101, 479)(102, 591)(103, 598)(104, 587)(105, 600)(106, 483)(107, 603)(108, 565)(109, 596)(110, 607)(111, 487)(112, 488)(113, 544)(114, 489)(115, 546)(116, 610)(117, 578)(118, 612)(119, 492)(120, 551)(121, 608)(122, 614)(123, 495)(124, 566)(125, 497)(126, 557)(127, 568)(128, 499)(129, 560)(130, 501)(131, 562)(132, 537)(133, 502)(134, 615)(135, 503)(136, 618)(137, 567)(138, 579)(139, 621)(140, 622)(141, 624)(142, 627)(143, 541)(144, 514)(145, 576)(146, 515)(147, 516)(148, 517)(149, 629)(150, 553)(151, 520)(152, 521)(153, 584)(154, 631)(155, 599)(156, 633)(157, 630)(158, 554)(159, 526)(160, 571)(161, 573)(162, 634)(163, 637)(164, 575)(165, 535)(166, 597)(167, 536)(168, 564)(169, 606)(170, 539)(171, 602)(172, 594)(173, 542)(174, 639)(175, 605)(176, 582)(177, 548)(178, 609)(179, 550)(180, 611)(181, 643)(182, 590)(183, 556)(184, 644)(185, 589)(186, 559)(187, 645)(188, 613)(189, 592)(190, 623)(191, 572)(192, 593)(193, 581)(194, 574)(195, 626)(196, 586)(197, 625)(198, 617)(199, 628)(200, 588)(201, 632)(202, 604)(203, 616)(204, 595)(205, 636)(206, 619)(207, 601)(208, 647)(209, 648)(210, 641)(211, 620)(212, 635)(213, 638)(214, 640)(215, 646)(216, 642)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.3023
Graph:: bipartite
	v = 108 e = 432 f = 270
	degree seq :: [ 6^72, 12^36 ]

E28.3022 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y1^2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y2^-1, (Y2^-1 * Y3^-1)^3, (R * Y2 * Y3^-1)^2, Y2^6, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y3, Y2 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y2 * Y1, (Y3 * Y2^-1)^4, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-3, Y2^-3 * Y3^-1 * Y2^2 * Y1^-1 * Y2^2 * Y1, Y2 * Y1 * Y2^-2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^2 * Y1, Y1 * Y2^2 * Y1 * Y2^-1 * Y3 * Y2^2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^2, Y1 * Y2 * Y3 * Y2^-2 * Y3 * Y2^-2 * Y1^-1 * Y2 * Y3^-1 * Y2^-2 ]
Map::
	R = (1, 217, 2, 218, 4, 220)(3, 219, 8, 224, 10, 226)(5, 221, 13, 229, 14, 230)(6, 222, 16, 232, 18, 234)(7, 223, 19, 235, 20, 236)(9, 225, 24, 240, 26, 242)(11, 227, 28, 244, 30, 246)(12, 228, 31, 247, 32, 248)(15, 231, 37, 253, 38, 254)(17, 233, 41, 257, 43, 259)(21, 237, 48, 264, 49, 265)(22, 238, 50, 266, 52, 268)(23, 239, 53, 269, 54, 270)(25, 241, 58, 274, 59, 275)(27, 243, 61, 277, 62, 278)(29, 245, 66, 282, 68, 284)(33, 249, 72, 288, 73, 289)(34, 250, 74, 290, 76, 292)(35, 251, 77, 293, 79, 295)(36, 252, 80, 296, 39, 255)(40, 256, 86, 302, 87, 303)(42, 258, 91, 307, 92, 308)(44, 260, 94, 310, 95, 311)(45, 261, 97, 313, 99, 315)(46, 262, 100, 316, 102, 318)(47, 263, 103, 319, 64, 280)(51, 267, 109, 325, 111, 327)(55, 271, 115, 331, 116, 332)(56, 272, 85, 301, 117, 333)(57, 273, 118, 334, 119, 335)(60, 276, 122, 338, 123, 339)(63, 279, 126, 342, 127, 343)(65, 281, 129, 345, 130, 346)(67, 283, 133, 349, 113, 329)(69, 285, 135, 351, 110, 326)(70, 286, 137, 353, 112, 328)(71, 287, 139, 355, 120, 336)(75, 291, 142, 358, 124, 340)(78, 294, 93, 309, 145, 361)(81, 297, 107, 323, 146, 362)(82, 298, 88, 304, 147, 363)(83, 299, 148, 364, 121, 337)(84, 300, 149, 365, 108, 324)(89, 305, 128, 344, 151, 367)(90, 306, 152, 368, 153, 369)(96, 312, 157, 373, 158, 374)(98, 314, 159, 375, 155, 371)(101, 317, 134, 350, 162, 378)(104, 320, 141, 357, 163, 379)(105, 321, 131, 347, 164, 380)(106, 322, 165, 381, 154, 370)(114, 330, 169, 385, 171, 387)(125, 341, 176, 392, 173, 389)(132, 348, 168, 384, 181, 397)(136, 352, 172, 388, 185, 401)(138, 354, 186, 402, 183, 399)(140, 356, 188, 404, 182, 398)(143, 359, 191, 407, 192, 408)(144, 360, 194, 410, 195, 411)(150, 366, 200, 416, 198, 414)(156, 372, 203, 419, 202, 418)(160, 376, 197, 413, 170, 386)(161, 377, 179, 395, 207, 423)(166, 382, 184, 400, 196, 412)(167, 383, 208, 424, 201, 417)(174, 390, 199, 415, 209, 425)(175, 391, 211, 427, 187, 403)(177, 393, 193, 409, 206, 422)(178, 394, 212, 428, 205, 421)(180, 396, 213, 429, 189, 405)(190, 406, 214, 430, 210, 426)(204, 420, 216, 432, 215, 431)(433, 649, 435, 651, 441, 657, 457, 673, 447, 663, 437, 653)(434, 650, 438, 654, 449, 665, 474, 690, 453, 669, 439, 655)(436, 652, 443, 659, 461, 677, 499, 715, 465, 681, 444, 660)(440, 656, 454, 670, 483, 699, 542, 758, 487, 703, 455, 671)(442, 658, 451, 667, 477, 693, 530, 746, 495, 711, 459, 675)(445, 661, 466, 682, 507, 723, 568, 784, 501, 717, 462, 678)(446, 662, 467, 683, 510, 726, 529, 745, 513, 729, 468, 684)(448, 664, 471, 687, 517, 733, 494, 710, 520, 736, 472, 688)(450, 666, 463, 679, 502, 718, 570, 786, 528, 744, 476, 692)(452, 668, 478, 694, 533, 749, 569, 785, 536, 752, 479, 695)(456, 672, 488, 704, 539, 755, 481, 697, 538, 754, 489, 705)(458, 674, 485, 701, 545, 761, 600, 816, 556, 772, 492, 708)(460, 676, 496, 712, 560, 776, 527, 743, 563, 779, 497, 713)(464, 680, 503, 719, 555, 771, 506, 722, 540, 756, 482, 698)(469, 685, 514, 730, 558, 774, 586, 802, 523, 739, 511, 727)(470, 686, 515, 731, 564, 780, 498, 714, 543, 759, 516, 732)(473, 689, 521, 737, 573, 789, 505, 721, 572, 788, 522, 738)(475, 691, 518, 734, 491, 707, 550, 766, 587, 803, 525, 741)(480, 696, 537, 753, 589, 805, 614, 830, 565, 781, 534, 750)(484, 700, 493, 709, 557, 773, 609, 825, 599, 815, 544, 760)(486, 702, 546, 762, 602, 818, 608, 824, 593, 809, 532, 748)(490, 706, 552, 768, 504, 720, 548, 764, 604, 820, 553, 769)(500, 716, 561, 777, 524, 740, 584, 800, 615, 831, 566, 782)(508, 724, 512, 728, 526, 742, 588, 804, 625, 841, 575, 791)(509, 725, 562, 778, 612, 828, 624, 840, 628, 844, 576, 792)(519, 735, 582, 798, 633, 849, 635, 851, 619, 835, 571, 787)(531, 747, 535, 751, 567, 783, 616, 832, 638, 854, 592, 808)(541, 757, 594, 810, 611, 827, 559, 775, 610, 826, 598, 814)(547, 763, 595, 811, 640, 856, 637, 853, 591, 807, 603, 819)(549, 765, 554, 770, 607, 823, 590, 806, 636, 852, 605, 821)(551, 767, 606, 822, 620, 836, 643, 859, 642, 858, 601, 817)(574, 790, 621, 837, 596, 812, 578, 794, 629, 845, 622, 838)(577, 793, 626, 842, 617, 833, 646, 862, 634, 850, 583, 799)(579, 795, 581, 797, 623, 839, 647, 863, 618, 834, 630, 846)(580, 796, 627, 843, 644, 860, 632, 848, 585, 801, 631, 847)(597, 813, 639, 855, 648, 864, 645, 861, 613, 829, 641, 857)
	L = (1, 436)(2, 433)(3, 442)(4, 434)(5, 446)(6, 450)(7, 452)(8, 435)(9, 458)(10, 440)(11, 462)(12, 464)(13, 437)(14, 445)(15, 470)(16, 438)(17, 475)(18, 448)(19, 439)(20, 451)(21, 481)(22, 484)(23, 486)(24, 441)(25, 491)(26, 456)(27, 494)(28, 443)(29, 500)(30, 460)(31, 444)(32, 463)(33, 505)(34, 508)(35, 511)(36, 471)(37, 447)(38, 469)(39, 512)(40, 519)(41, 449)(42, 524)(43, 473)(44, 527)(45, 531)(46, 534)(47, 496)(48, 453)(49, 480)(50, 454)(51, 543)(52, 482)(53, 455)(54, 485)(55, 548)(56, 549)(57, 551)(58, 457)(59, 490)(60, 555)(61, 459)(62, 493)(63, 559)(64, 535)(65, 562)(66, 461)(67, 545)(68, 498)(69, 542)(70, 544)(71, 552)(72, 465)(73, 504)(74, 466)(75, 556)(76, 506)(77, 467)(78, 577)(79, 509)(80, 468)(81, 578)(82, 579)(83, 553)(84, 540)(85, 488)(86, 472)(87, 518)(88, 514)(89, 583)(90, 585)(91, 474)(92, 523)(93, 510)(94, 476)(95, 526)(96, 590)(97, 477)(98, 587)(99, 529)(100, 478)(101, 594)(102, 532)(103, 479)(104, 595)(105, 596)(106, 586)(107, 513)(108, 581)(109, 483)(110, 567)(111, 541)(112, 569)(113, 565)(114, 603)(115, 487)(116, 547)(117, 517)(118, 489)(119, 550)(120, 571)(121, 580)(122, 492)(123, 554)(124, 574)(125, 605)(126, 495)(127, 558)(128, 521)(129, 497)(130, 561)(131, 537)(132, 613)(133, 499)(134, 533)(135, 501)(136, 617)(137, 502)(138, 615)(139, 503)(140, 614)(141, 536)(142, 507)(143, 624)(144, 627)(145, 525)(146, 539)(147, 520)(148, 515)(149, 516)(150, 630)(151, 560)(152, 522)(153, 584)(154, 597)(155, 591)(156, 634)(157, 528)(158, 589)(159, 530)(160, 602)(161, 639)(162, 566)(163, 573)(164, 563)(165, 538)(166, 628)(167, 633)(168, 564)(169, 546)(170, 629)(171, 601)(172, 568)(173, 608)(174, 641)(175, 619)(176, 557)(177, 638)(178, 637)(179, 593)(180, 621)(181, 600)(182, 620)(183, 618)(184, 598)(185, 604)(186, 570)(187, 643)(188, 572)(189, 645)(190, 642)(191, 575)(192, 623)(193, 609)(194, 576)(195, 626)(196, 616)(197, 592)(198, 632)(199, 606)(200, 582)(201, 640)(202, 635)(203, 588)(204, 647)(205, 644)(206, 625)(207, 611)(208, 599)(209, 631)(210, 646)(211, 607)(212, 610)(213, 612)(214, 622)(215, 648)(216, 636)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.3024
Graph:: bipartite
	v = 108 e = 432 f = 270
	degree seq :: [ 6^72, 12^36 ]

E28.3023 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^4, Y1^4, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1)^3, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, Y3^6, Y3 * Y1 * Y3 * Y1^-3 * Y3 * Y1, Y3 * Y1^-1 * Y3^-2 * Y1 * Y3^-2 * Y1^-1, Y1 * Y3 * Y1^-2 * Y3 * Y1^2 * Y3 * Y1, Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3 * Y1 * Y3^2 * Y1, Y1^-2 * Y3 * Y1^-1 * Y3 * Y1^-2 * Y3^-1 * Y1 * Y3^-1, (Y3 * Y2^-1)^6 ]
Map:: polytopal
	R = (1, 217, 2, 218, 6, 222, 4, 220)(3, 219, 9, 225, 25, 241, 11, 227)(5, 221, 14, 230, 38, 254, 15, 231)(7, 223, 19, 235, 50, 266, 21, 237)(8, 224, 22, 238, 57, 273, 23, 239)(10, 226, 28, 244, 70, 286, 30, 246)(12, 228, 33, 249, 80, 296, 35, 251)(13, 229, 36, 252, 66, 282, 26, 242)(16, 232, 42, 258, 98, 314, 43, 259)(17, 233, 44, 260, 91, 307, 46, 262)(18, 234, 47, 263, 63, 279, 48, 264)(20, 236, 52, 268, 112, 328, 54, 270)(24, 240, 61, 277, 125, 341, 62, 278)(27, 243, 67, 283, 133, 349, 68, 284)(29, 245, 72, 288, 140, 356, 73, 289)(31, 247, 76, 292, 103, 319, 78, 294)(32, 248, 79, 295, 86, 302, 71, 287)(34, 250, 82, 298, 155, 371, 84, 300)(37, 253, 88, 304, 159, 375, 89, 305)(39, 255, 92, 308, 56, 272, 93, 309)(40, 256, 94, 310, 106, 322, 95, 311)(41, 257, 96, 312, 148, 364, 77, 293)(45, 261, 100, 316, 172, 388, 102, 318)(49, 265, 107, 323, 176, 392, 108, 324)(51, 267, 110, 326, 131, 347, 65, 281)(53, 269, 113, 329, 181, 397, 114, 330)(55, 271, 116, 332, 85, 301, 118, 334)(58, 274, 120, 336, 104, 320, 121, 337)(59, 275, 122, 338, 87, 303, 123, 339)(60, 276, 81, 297, 153, 369, 117, 333)(64, 280, 119, 335, 138, 354, 128, 344)(69, 285, 136, 352, 197, 413, 137, 353)(74, 290, 144, 360, 105, 321, 145, 361)(75, 291, 146, 362, 150, 366, 141, 357)(83, 299, 156, 372, 205, 421, 157, 373)(90, 306, 160, 376, 170, 386, 152, 368)(97, 313, 142, 358, 200, 416, 168, 384)(99, 315, 143, 359, 164, 380, 171, 387)(101, 317, 173, 389, 208, 424, 174, 390)(109, 325, 127, 343, 165, 381, 178, 394)(111, 327, 129, 345, 193, 409, 180, 396)(115, 331, 184, 400, 163, 379, 182, 398)(124, 340, 183, 399, 211, 427, 190, 406)(126, 342, 169, 385, 187, 403, 192, 408)(130, 346, 185, 401, 206, 422, 161, 377)(132, 348, 188, 404, 149, 365, 162, 378)(134, 350, 195, 411, 151, 367, 196, 412)(135, 351, 147, 363, 202, 418, 194, 410)(139, 355, 158, 374, 199, 415, 198, 414)(154, 370, 203, 419, 212, 428, 189, 405)(166, 382, 167, 383, 179, 395, 207, 423)(175, 391, 209, 425, 186, 402, 204, 420)(177, 393, 191, 407, 201, 417, 210, 426)(213, 429, 214, 430, 215, 431, 216, 432)(433, 649)(434, 650)(435, 651)(436, 652)(437, 653)(438, 654)(439, 655)(440, 656)(441, 657)(442, 658)(443, 659)(444, 660)(445, 661)(446, 662)(447, 663)(448, 664)(449, 665)(450, 666)(451, 667)(452, 668)(453, 669)(454, 670)(455, 671)(456, 672)(457, 673)(458, 674)(459, 675)(460, 676)(461, 677)(462, 678)(463, 679)(464, 680)(465, 681)(466, 682)(467, 683)(468, 684)(469, 685)(470, 686)(471, 687)(472, 688)(473, 689)(474, 690)(475, 691)(476, 692)(477, 693)(478, 694)(479, 695)(480, 696)(481, 697)(482, 698)(483, 699)(484, 700)(485, 701)(486, 702)(487, 703)(488, 704)(489, 705)(490, 706)(491, 707)(492, 708)(493, 709)(494, 710)(495, 711)(496, 712)(497, 713)(498, 714)(499, 715)(500, 716)(501, 717)(502, 718)(503, 719)(504, 720)(505, 721)(506, 722)(507, 723)(508, 724)(509, 725)(510, 726)(511, 727)(512, 728)(513, 729)(514, 730)(515, 731)(516, 732)(517, 733)(518, 734)(519, 735)(520, 736)(521, 737)(522, 738)(523, 739)(524, 740)(525, 741)(526, 742)(527, 743)(528, 744)(529, 745)(530, 746)(531, 747)(532, 748)(533, 749)(534, 750)(535, 751)(536, 752)(537, 753)(538, 754)(539, 755)(540, 756)(541, 757)(542, 758)(543, 759)(544, 760)(545, 761)(546, 762)(547, 763)(548, 764)(549, 765)(550, 766)(551, 767)(552, 768)(553, 769)(554, 770)(555, 771)(556, 772)(557, 773)(558, 774)(559, 775)(560, 776)(561, 777)(562, 778)(563, 779)(564, 780)(565, 781)(566, 782)(567, 783)(568, 784)(569, 785)(570, 786)(571, 787)(572, 788)(573, 789)(574, 790)(575, 791)(576, 792)(577, 793)(578, 794)(579, 795)(580, 796)(581, 797)(582, 798)(583, 799)(584, 800)(585, 801)(586, 802)(587, 803)(588, 804)(589, 805)(590, 806)(591, 807)(592, 808)(593, 809)(594, 810)(595, 811)(596, 812)(597, 813)(598, 814)(599, 815)(600, 816)(601, 817)(602, 818)(603, 819)(604, 820)(605, 821)(606, 822)(607, 823)(608, 824)(609, 825)(610, 826)(611, 827)(612, 828)(613, 829)(614, 830)(615, 831)(616, 832)(617, 833)(618, 834)(619, 835)(620, 836)(621, 837)(622, 838)(623, 839)(624, 840)(625, 841)(626, 842)(627, 843)(628, 844)(629, 845)(630, 846)(631, 847)(632, 848)(633, 849)(634, 850)(635, 851)(636, 852)(637, 853)(638, 854)(639, 855)(640, 856)(641, 857)(642, 858)(643, 859)(644, 860)(645, 861)(646, 862)(647, 863)(648, 864)
	L = (1, 435)(2, 439)(3, 442)(4, 444)(5, 433)(6, 449)(7, 452)(8, 434)(9, 458)(10, 461)(11, 463)(12, 466)(13, 436)(14, 471)(15, 473)(16, 437)(17, 477)(18, 438)(19, 447)(20, 485)(21, 487)(22, 490)(23, 492)(24, 440)(25, 495)(26, 497)(27, 441)(28, 503)(29, 448)(30, 506)(31, 509)(32, 443)(33, 480)(34, 515)(35, 517)(36, 518)(37, 445)(38, 522)(39, 520)(40, 446)(41, 529)(42, 531)(43, 514)(44, 455)(45, 533)(46, 535)(47, 537)(48, 500)(49, 450)(50, 498)(51, 451)(52, 524)(53, 456)(54, 464)(55, 549)(56, 453)(57, 551)(58, 474)(59, 454)(60, 556)(61, 558)(62, 460)(63, 559)(64, 457)(65, 562)(66, 564)(67, 472)(68, 567)(69, 459)(70, 570)(71, 521)(72, 573)(73, 574)(74, 467)(75, 462)(76, 560)(77, 547)(78, 581)(79, 582)(80, 489)(81, 465)(82, 577)(83, 469)(84, 536)(85, 563)(86, 539)(87, 468)(88, 566)(89, 532)(90, 593)(91, 470)(92, 475)(93, 595)(94, 569)(95, 598)(96, 476)(97, 543)(98, 601)(99, 542)(100, 552)(101, 481)(102, 488)(103, 565)(104, 478)(105, 493)(106, 479)(107, 609)(108, 484)(109, 482)(110, 491)(111, 483)(112, 597)(113, 614)(114, 615)(115, 486)(116, 610)(117, 607)(118, 602)(119, 600)(120, 494)(121, 618)(122, 612)(123, 621)(124, 599)(125, 623)(126, 580)(127, 622)(128, 557)(129, 496)(130, 501)(131, 507)(132, 626)(133, 590)(134, 499)(135, 586)(136, 584)(137, 504)(138, 555)(139, 502)(140, 631)(141, 544)(142, 510)(143, 505)(144, 630)(145, 540)(146, 603)(147, 508)(148, 538)(149, 591)(150, 625)(151, 511)(152, 512)(153, 519)(154, 513)(155, 592)(156, 571)(157, 617)(158, 516)(159, 575)(160, 527)(161, 635)(162, 523)(163, 639)(164, 525)(165, 526)(166, 605)(167, 528)(168, 568)(169, 546)(170, 530)(171, 637)(172, 620)(173, 636)(174, 579)(175, 534)(176, 627)(177, 585)(178, 608)(179, 541)(180, 545)(181, 578)(182, 604)(183, 550)(184, 624)(185, 548)(186, 644)(187, 553)(188, 554)(189, 588)(190, 561)(191, 606)(192, 572)(193, 645)(194, 611)(195, 589)(196, 640)(197, 646)(198, 629)(199, 628)(200, 619)(201, 576)(202, 583)(203, 594)(204, 587)(205, 641)(206, 596)(207, 648)(208, 616)(209, 642)(210, 613)(211, 633)(212, 647)(213, 634)(214, 643)(215, 632)(216, 638)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3021
Graph:: simple bipartite
	v = 270 e = 432 f = 108
	degree seq :: [ 2^216, 8^54 ]

E28.3024 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6})
Quotient :: dipole
Aut^+ = ((C3 x C3) : Q8) : C3 (small group id <216, 153>)
Aut   = (((C3 x C3) : Q8) : C3) : C2 (small group id <432, 734>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^4, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1)^3, (R * Y2 * Y3^-1)^2, (Y1 * Y3)^3, Y3^6, Y1 * Y3^2 * Y1^-2 * Y3^-2 * Y1, Y3 * Y1^-1 * Y3^2 * Y1 * Y3^2 * Y1^-1 * Y3, Y1 * Y3 * Y1^-2 * Y3 * Y1^2 * Y3 * Y1, (Y3 * Y2^-1)^6, (Y3 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 217, 2, 218, 6, 222, 4, 220)(3, 219, 9, 225, 25, 241, 11, 227)(5, 221, 14, 230, 38, 254, 15, 231)(7, 223, 19, 235, 50, 266, 21, 237)(8, 224, 22, 238, 57, 273, 23, 239)(10, 226, 28, 244, 45, 261, 30, 246)(12, 228, 33, 249, 81, 297, 35, 251)(13, 229, 36, 252, 66, 282, 26, 242)(16, 232, 42, 258, 49, 265, 43, 259)(17, 233, 44, 260, 88, 304, 46, 262)(18, 234, 47, 263, 63, 279, 48, 264)(20, 236, 52, 268, 34, 250, 54, 270)(24, 240, 61, 277, 37, 253, 62, 278)(27, 243, 67, 283, 129, 345, 68, 284)(29, 245, 72, 288, 124, 340, 73, 289)(31, 247, 76, 292, 143, 359, 78, 294)(32, 248, 79, 295, 86, 302, 70, 286)(39, 255, 89, 305, 56, 272, 91, 307)(40, 256, 92, 308, 165, 381, 93, 309)(41, 257, 95, 311, 113, 329, 97, 313)(51, 267, 77, 293, 94, 310, 65, 281)(53, 269, 109, 325, 128, 344, 110, 326)(55, 271, 112, 328, 161, 377, 114, 330)(58, 274, 74, 290, 103, 319, 117, 333)(59, 275, 118, 334, 192, 408, 119, 335)(60, 276, 82, 298, 149, 365, 121, 337)(64, 280, 125, 341, 101, 317, 126, 342)(69, 285, 132, 348, 80, 296, 133, 349)(71, 287, 134, 350, 190, 406, 135, 351)(75, 291, 141, 357, 147, 363, 137, 353)(83, 299, 151, 367, 106, 322, 152, 368)(84, 300, 153, 369, 195, 411, 154, 370)(85, 301, 155, 371, 104, 320, 99, 315)(87, 303, 158, 374, 145, 361, 159, 375)(90, 306, 160, 376, 96, 312, 162, 378)(98, 314, 140, 356, 164, 380, 171, 387)(100, 316, 172, 388, 210, 426, 174, 390)(102, 318, 138, 354, 169, 385, 175, 391)(105, 321, 178, 394, 130, 346, 139, 355)(107, 323, 179, 395, 115, 331, 180, 396)(108, 324, 181, 397, 209, 425, 182, 398)(111, 327, 185, 401, 163, 379, 183, 399)(116, 332, 188, 404, 120, 336, 189, 405)(122, 338, 184, 400, 191, 407, 196, 412)(123, 339, 197, 413, 148, 364, 198, 414)(127, 343, 186, 402, 157, 373, 199, 415)(131, 347, 144, 360, 177, 393, 200, 416)(136, 352, 170, 386, 142, 358, 173, 389)(146, 362, 206, 422, 213, 429, 193, 409)(150, 366, 207, 423, 156, 372, 194, 410)(166, 382, 208, 424, 205, 421, 212, 428)(167, 383, 168, 384, 203, 419, 176, 392)(187, 403, 201, 417, 216, 432, 214, 430)(202, 418, 211, 427, 204, 420, 215, 431)(433, 649)(434, 650)(435, 651)(436, 652)(437, 653)(438, 654)(439, 655)(440, 656)(441, 657)(442, 658)(443, 659)(444, 660)(445, 661)(446, 662)(447, 663)(448, 664)(449, 665)(450, 666)(451, 667)(452, 668)(453, 669)(454, 670)(455, 671)(456, 672)(457, 673)(458, 674)(459, 675)(460, 676)(461, 677)(462, 678)(463, 679)(464, 680)(465, 681)(466, 682)(467, 683)(468, 684)(469, 685)(470, 686)(471, 687)(472, 688)(473, 689)(474, 690)(475, 691)(476, 692)(477, 693)(478, 694)(479, 695)(480, 696)(481, 697)(482, 698)(483, 699)(484, 700)(485, 701)(486, 702)(487, 703)(488, 704)(489, 705)(490, 706)(491, 707)(492, 708)(493, 709)(494, 710)(495, 711)(496, 712)(497, 713)(498, 714)(499, 715)(500, 716)(501, 717)(502, 718)(503, 719)(504, 720)(505, 721)(506, 722)(507, 723)(508, 724)(509, 725)(510, 726)(511, 727)(512, 728)(513, 729)(514, 730)(515, 731)(516, 732)(517, 733)(518, 734)(519, 735)(520, 736)(521, 737)(522, 738)(523, 739)(524, 740)(525, 741)(526, 742)(527, 743)(528, 744)(529, 745)(530, 746)(531, 747)(532, 748)(533, 749)(534, 750)(535, 751)(536, 752)(537, 753)(538, 754)(539, 755)(540, 756)(541, 757)(542, 758)(543, 759)(544, 760)(545, 761)(546, 762)(547, 763)(548, 764)(549, 765)(550, 766)(551, 767)(552, 768)(553, 769)(554, 770)(555, 771)(556, 772)(557, 773)(558, 774)(559, 775)(560, 776)(561, 777)(562, 778)(563, 779)(564, 780)(565, 781)(566, 782)(567, 783)(568, 784)(569, 785)(570, 786)(571, 787)(572, 788)(573, 789)(574, 790)(575, 791)(576, 792)(577, 793)(578, 794)(579, 795)(580, 796)(581, 797)(582, 798)(583, 799)(584, 800)(585, 801)(586, 802)(587, 803)(588, 804)(589, 805)(590, 806)(591, 807)(592, 808)(593, 809)(594, 810)(595, 811)(596, 812)(597, 813)(598, 814)(599, 815)(600, 816)(601, 817)(602, 818)(603, 819)(604, 820)(605, 821)(606, 822)(607, 823)(608, 824)(609, 825)(610, 826)(611, 827)(612, 828)(613, 829)(614, 830)(615, 831)(616, 832)(617, 833)(618, 834)(619, 835)(620, 836)(621, 837)(622, 838)(623, 839)(624, 840)(625, 841)(626, 842)(627, 843)(628, 844)(629, 845)(630, 846)(631, 847)(632, 848)(633, 849)(634, 850)(635, 851)(636, 852)(637, 853)(638, 854)(639, 855)(640, 856)(641, 857)(642, 858)(643, 859)(644, 860)(645, 861)(646, 862)(647, 863)(648, 864)
	L = (1, 435)(2, 439)(3, 442)(4, 444)(5, 433)(6, 449)(7, 452)(8, 434)(9, 458)(10, 461)(11, 463)(12, 466)(13, 436)(14, 471)(15, 473)(16, 437)(17, 477)(18, 438)(19, 447)(20, 485)(21, 487)(22, 490)(23, 492)(24, 440)(25, 495)(26, 497)(27, 441)(28, 502)(29, 448)(30, 506)(31, 509)(32, 443)(33, 480)(34, 515)(35, 516)(36, 518)(37, 445)(38, 496)(39, 522)(40, 446)(41, 528)(42, 530)(43, 532)(44, 455)(45, 533)(46, 534)(47, 536)(48, 500)(49, 450)(50, 498)(51, 451)(52, 521)(53, 456)(54, 531)(55, 545)(56, 453)(57, 538)(58, 548)(59, 454)(60, 552)(61, 554)(62, 555)(63, 556)(64, 457)(65, 559)(66, 560)(67, 562)(68, 563)(69, 459)(70, 493)(71, 460)(72, 569)(73, 571)(74, 494)(75, 462)(76, 558)(77, 577)(78, 578)(79, 579)(80, 464)(81, 489)(82, 465)(83, 469)(84, 499)(85, 467)(86, 589)(87, 468)(88, 470)(89, 475)(90, 593)(91, 595)(92, 510)(93, 599)(94, 472)(95, 476)(96, 539)(97, 491)(98, 602)(99, 474)(100, 605)(101, 481)(102, 581)(103, 478)(104, 609)(105, 479)(106, 482)(107, 483)(108, 484)(109, 615)(110, 591)(111, 486)(112, 583)(113, 597)(114, 619)(115, 488)(116, 601)(117, 622)(118, 546)(119, 626)(120, 600)(121, 537)(122, 568)(123, 574)(124, 520)(125, 525)(126, 567)(127, 501)(128, 513)(129, 519)(130, 588)(131, 582)(132, 633)(133, 634)(134, 606)(135, 635)(136, 503)(137, 564)(138, 504)(139, 565)(140, 505)(141, 603)(142, 507)(143, 561)(144, 508)(145, 512)(146, 566)(147, 623)(148, 511)(149, 624)(150, 514)(151, 614)(152, 551)(153, 541)(154, 640)(155, 641)(156, 517)(157, 575)(158, 586)(159, 612)(160, 572)(161, 526)(162, 570)(163, 642)(164, 523)(165, 547)(166, 524)(167, 645)(168, 527)(169, 529)(170, 543)(171, 646)(172, 557)(173, 540)(174, 598)(175, 636)(176, 535)(177, 627)(178, 607)(179, 647)(180, 644)(181, 630)(182, 639)(183, 611)(184, 542)(185, 628)(186, 544)(187, 613)(188, 616)(189, 585)(190, 580)(191, 549)(192, 608)(193, 550)(194, 648)(195, 553)(196, 643)(197, 584)(198, 625)(199, 629)(200, 604)(201, 594)(202, 592)(203, 637)(204, 573)(205, 576)(206, 618)(207, 638)(208, 617)(209, 596)(210, 587)(211, 590)(212, 620)(213, 632)(214, 610)(215, 621)(216, 631)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3022
Graph:: simple bipartite
	v = 270 e = 432 f = 108
	degree seq :: [ 2^216, 8^54 ]

E28.3025 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 8, 8})
Quotient :: halfedge
Aut^+ = ((C3 x C3) : C3) : C8 (small group id <216, 86>)
Aut   = ((C3 x C3) : C3) : C8 (small group id <216, 86>)
|r| :: 1
Presentation :: [ X2^2, X1^8, X2 * X1^-2 * X2 * X1^2 * X2 * X1 * X2 * X1^-1, (X2 * X1^-1 * X2 * X1)^3, X2 * X1^2 * X2 * X1^-3 * X2 * X1^-1 * X2 * X1^-1 * X2 * X1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 61, 38, 18, 8)(6, 13, 27, 53, 98, 60, 30, 14)(9, 19, 39, 74, 128, 79, 42, 20)(12, 25, 49, 91, 151, 97, 52, 26)(16, 33, 64, 113, 130, 108, 67, 34)(17, 35, 68, 118, 176, 123, 71, 36)(21, 43, 66, 105, 165, 140, 82, 44)(24, 47, 87, 147, 184, 150, 90, 48)(28, 55, 101, 116, 65, 115, 103, 56)(29, 57, 104, 164, 125, 72, 37, 58)(32, 50, 93, 154, 162, 102, 112, 63)(40, 75, 129, 183, 127, 73, 126, 76)(41, 77, 131, 186, 167, 187, 134, 78)(45, 83, 120, 69, 119, 177, 143, 84)(46, 85, 144, 132, 109, 169, 146, 86)(51, 94, 156, 201, 168, 107, 59, 95)(54, 88, 149, 185, 200, 155, 160, 100)(62, 110, 170, 202, 157, 96, 133, 89)(70, 121, 99, 158, 203, 212, 178, 122)(80, 136, 190, 214, 189, 135, 188, 137)(81, 138, 191, 181, 124, 180, 192, 139)(92, 145, 174, 114, 171, 196, 199, 153)(106, 142, 152, 197, 213, 179, 208, 166)(111, 172, 198, 216, 211, 175, 117, 173)(141, 194, 161, 204, 210, 193, 195, 148)(159, 205, 215, 209, 182, 207, 163, 206)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 46)(25, 50)(26, 51)(27, 54)(30, 59)(31, 62)(33, 65)(34, 66)(35, 69)(36, 70)(38, 73)(39, 56)(42, 71)(43, 80)(44, 81)(47, 88)(48, 89)(49, 92)(52, 96)(53, 99)(55, 102)(57, 105)(58, 106)(60, 108)(61, 109)(63, 111)(64, 114)(67, 117)(68, 116)(72, 124)(74, 94)(75, 130)(76, 120)(77, 132)(78, 133)(79, 135)(82, 134)(83, 141)(84, 142)(85, 145)(86, 121)(87, 148)(90, 122)(91, 152)(93, 155)(95, 139)(97, 115)(98, 119)(100, 159)(101, 161)(103, 163)(104, 162)(107, 167)(110, 171)(112, 150)(113, 131)(118, 172)(123, 179)(125, 178)(126, 182)(127, 136)(128, 184)(129, 185)(137, 144)(138, 147)(140, 193)(143, 192)(146, 166)(149, 196)(151, 165)(153, 198)(154, 190)(156, 200)(157, 176)(158, 204)(160, 169)(164, 205)(168, 208)(170, 209)(173, 181)(174, 210)(175, 203)(177, 199)(180, 202)(183, 191)(186, 206)(187, 212)(188, 211)(189, 194)(195, 215)(197, 214)(201, 216)(207, 213)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: chiral positively-selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 27 e = 108 f = 27
	degree seq :: [ 8^27 ]

E28.3026 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 8, 8})
Quotient :: edge
Aut^+ = ((C3 x C3) : C3) : C8 (small group id <216, 86>)
Aut   = ((C3 x C3) : C3) : C8 (small group id <216, 86>)
|r| :: 1
Presentation :: [ X1^2, X2^8, X2 * X1 * X2^-1 * X1 * X2^-2 * X1 * X2^2 * X1, (X1 * X2^-1 * X1 * X2)^3, X1 * X2^3 * X1 * X2^-2 * X1 * X2 * X1 * X2 * X1 * X2, X2 * X1 * X2 * X1 * X2^3 * X1 * X2^-2 * X1 * X2 * X1 ]
Map:: polytopal
	R = (1, 2)(3, 7)(4, 9)(5, 11)(6, 13)(8, 17)(10, 21)(12, 25)(14, 29)(15, 31)(16, 33)(18, 37)(19, 39)(20, 41)(22, 45)(23, 46)(24, 48)(26, 52)(27, 54)(28, 56)(30, 60)(32, 63)(34, 66)(35, 50)(36, 69)(38, 73)(40, 62)(42, 57)(43, 80)(44, 81)(47, 87)(49, 90)(51, 93)(53, 97)(55, 86)(58, 104)(59, 105)(61, 109)(64, 114)(65, 89)(67, 91)(68, 119)(70, 122)(71, 112)(72, 96)(74, 128)(75, 99)(76, 121)(77, 131)(78, 133)(79, 135)(82, 134)(83, 141)(84, 142)(85, 123)(88, 132)(92, 149)(94, 152)(95, 144)(98, 115)(100, 151)(101, 127)(102, 125)(103, 158)(106, 157)(107, 163)(108, 136)(110, 166)(111, 167)(113, 169)(116, 165)(117, 139)(118, 172)(120, 176)(124, 180)(126, 174)(129, 184)(130, 185)(137, 182)(138, 181)(140, 193)(143, 192)(145, 196)(146, 177)(147, 161)(148, 197)(150, 190)(153, 201)(154, 170)(155, 203)(156, 179)(159, 183)(160, 202)(162, 207)(164, 191)(168, 195)(171, 209)(173, 205)(175, 200)(178, 199)(186, 210)(187, 204)(188, 198)(189, 194)(206, 208)(211, 215)(212, 214)(213, 216)(217, 219, 224, 234, 254, 238, 226, 220)(218, 221, 228, 242, 269, 246, 230, 222)(223, 231, 248, 280, 331, 283, 250, 232)(225, 235, 256, 292, 346, 295, 258, 236)(227, 239, 263, 304, 344, 307, 265, 240)(229, 243, 271, 316, 372, 319, 273, 244)(233, 251, 284, 336, 393, 339, 286, 252)(237, 259, 264, 305, 362, 356, 298, 260)(241, 266, 308, 366, 381, 325, 310, 267)(245, 274, 249, 281, 332, 378, 322, 275)(247, 277, 326, 302, 262, 301, 327, 278)(253, 287, 340, 397, 401, 368, 341, 288)(255, 290, 345, 380, 324, 276, 323, 291)(257, 293, 348, 402, 388, 403, 350, 294)(261, 299, 315, 270, 314, 371, 359, 300)(268, 311, 369, 418, 395, 338, 349, 312)(272, 317, 330, 387, 413, 420, 373, 318)(279, 328, 384, 400, 415, 365, 386, 329)(282, 333, 285, 337, 394, 427, 389, 334)(289, 342, 398, 347, 313, 370, 399, 343)(296, 352, 406, 430, 405, 351, 404, 353)(297, 354, 407, 377, 321, 376, 408, 355)(303, 360, 411, 419, 391, 335, 390, 361)(306, 363, 309, 367, 416, 431, 414, 364)(320, 358, 392, 428, 422, 374, 421, 375)(357, 410, 382, 425, 412, 409, 429, 396)(379, 424, 383, 426, 385, 423, 432, 417)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: chiral
Dual of E28.3027
Transitivity :: ET+
Graph:: simple bipartite
	v = 135 e = 216 f = 27
	degree seq :: [ 2^108, 8^27 ]

E28.3027 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 8, 8})
Quotient :: loop
Aut^+ = ((C3 x C3) : C3) : C8 (small group id <216, 86>)
Aut   = ((C3 x C3) : C3) : C8 (small group id <216, 86>)
|r| :: 1
Presentation :: [ (X2 * X1)^2, (X1 * X2)^2, (X1^-1 * X2^-1)^2, X2 * X1^2 * X2^-2 * X1^-1 * X2 * X1^-1, X2^-2 * X1^-1 * X2 * X1^-1 * X2 * X1^2, X2^8, X1^8, X1^-1 * X2^-3 * X1^3 * X2^-1 * X1^-1 * X2, X2^3 * X1^-1 * X2^-1 * X1^2 * X2 * X1^-2, X2 * X1^-1 * X2^-1 * X1^2 * X2^-3 * X1^-2 * X2 * X1^-1, X1^-1 * X2 * X1^-2 * X2 * X1^-1 * X2^2 * X1^-2 * X2 * X1^-1, (X1^-1 * X2 * X1^-2)^3, X1 * X2^-2 * X1^2 * X2 * X1^-1 * X2^2 * X1^3, X1^-1 * X2^-1 * X1 * X2 * X1^-1 * X2^-1 * X1 * X2^2 * X1 * X2^-1 * X1^-1 ]
Map::
	R = (1, 217, 2, 218, 6, 222, 16, 232, 40, 256, 34, 250, 13, 229, 4, 220)(3, 219, 9, 225, 23, 239, 57, 273, 121, 337, 71, 287, 29, 245, 11, 227)(5, 221, 14, 230, 35, 251, 81, 297, 112, 328, 51, 267, 20, 236, 7, 223)(8, 224, 21, 237, 52, 268, 113, 329, 175, 391, 99, 315, 44, 260, 17, 233)(10, 226, 25, 241, 61, 277, 129, 345, 173, 389, 139, 355, 67, 283, 27, 243)(12, 228, 30, 246, 72, 288, 147, 363, 170, 386, 137, 353, 66, 282, 32, 248)(15, 231, 38, 254, 85, 301, 126, 342, 60, 276, 128, 344, 84, 300, 36, 252)(18, 234, 45, 261, 100, 316, 176, 392, 133, 349, 64, 280, 92, 308, 41, 257)(19, 235, 47, 263, 104, 320, 183, 399, 134, 350, 69, 285, 28, 244, 49, 265)(22, 238, 55, 271, 117, 333, 86, 302, 39, 255, 88, 304, 116, 332, 53, 269)(24, 240, 59, 275, 125, 341, 194, 410, 111, 327, 193, 409, 124, 340, 58, 274)(26, 242, 63, 279, 132, 348, 83, 299, 156, 372, 204, 420, 135, 351, 65, 281)(31, 247, 74, 290, 150, 366, 192, 408, 109, 325, 190, 406, 152, 368, 76, 292)(33, 249, 77, 293, 123, 339, 184, 400, 105, 321, 185, 401, 151, 367, 79, 295)(37, 253, 46, 262, 102, 318, 179, 395, 118, 334, 56, 272, 120, 336, 82, 298)(42, 258, 93, 309, 165, 381, 146, 362, 187, 403, 107, 323, 161, 377, 89, 305)(43, 259, 95, 311, 169, 385, 209, 425, 188, 404, 110, 326, 50, 266, 97, 313)(48, 264, 106, 322, 186, 402, 115, 331, 196, 412, 138, 354, 189, 405, 108, 324)(54, 270, 94, 310, 167, 383, 127, 343, 180, 396, 103, 319, 182, 398, 114, 330)(62, 278, 131, 347, 171, 387, 154, 370, 80, 296, 90, 306, 162, 378, 130, 346)(68, 284, 140, 356, 172, 388, 96, 312, 78, 294, 153, 369, 178, 394, 142, 358)(70, 286, 143, 359, 203, 419, 148, 364, 73, 289, 149, 365, 181, 397, 145, 361)(75, 291, 91, 307, 164, 380, 122, 338, 201, 417, 210, 426, 174, 390, 98, 314)(87, 303, 157, 373, 168, 384, 208, 424, 177, 393, 101, 317, 163, 379, 159, 375)(119, 335, 197, 413, 136, 352, 205, 421, 207, 423, 166, 382, 144, 360, 199, 415)(141, 357, 198, 414, 160, 376, 195, 411, 212, 428, 215, 431, 214, 430, 202, 418)(155, 371, 200, 416, 211, 427, 216, 432, 213, 429, 206, 422, 158, 374, 191, 407)
	L = (1, 219)(2, 223)(3, 226)(4, 228)(5, 217)(6, 233)(7, 235)(8, 218)(9, 220)(10, 242)(11, 244)(12, 247)(13, 249)(14, 252)(15, 221)(16, 257)(17, 259)(18, 222)(19, 264)(20, 266)(21, 269)(22, 224)(23, 274)(24, 225)(25, 227)(26, 280)(27, 282)(28, 284)(29, 286)(30, 229)(31, 291)(32, 283)(33, 294)(34, 296)(35, 298)(36, 288)(37, 230)(38, 302)(39, 231)(40, 305)(41, 307)(42, 232)(43, 312)(44, 314)(45, 253)(46, 234)(47, 236)(48, 323)(49, 245)(50, 325)(51, 327)(52, 330)(53, 239)(54, 237)(55, 334)(56, 238)(57, 332)(58, 339)(59, 342)(60, 240)(61, 346)(62, 241)(63, 243)(64, 255)(65, 350)(66, 352)(67, 354)(68, 357)(69, 351)(70, 360)(71, 362)(72, 364)(73, 246)(74, 248)(75, 315)(76, 367)(77, 250)(78, 313)(79, 368)(80, 322)(81, 348)(82, 371)(83, 251)(84, 374)(85, 375)(86, 320)(87, 254)(88, 349)(89, 279)(90, 256)(91, 292)(92, 281)(93, 270)(94, 258)(95, 260)(96, 387)(97, 267)(98, 389)(99, 276)(100, 393)(101, 261)(102, 396)(103, 262)(104, 400)(105, 263)(106, 265)(107, 272)(108, 404)(109, 407)(110, 405)(111, 289)(112, 278)(113, 402)(114, 411)(115, 268)(116, 414)(117, 415)(118, 385)(119, 271)(120, 403)(121, 380)(122, 273)(123, 382)(124, 418)(125, 383)(126, 277)(127, 275)(128, 391)(129, 301)(130, 419)(131, 297)(132, 377)(133, 386)(134, 416)(135, 406)(136, 379)(137, 392)(138, 422)(139, 390)(140, 285)(141, 409)(142, 397)(143, 287)(144, 293)(145, 394)(146, 290)(147, 300)(148, 378)(149, 410)(150, 381)(151, 384)(152, 420)(153, 295)(154, 388)(155, 408)(156, 303)(157, 299)(158, 412)(159, 413)(160, 304)(161, 324)(162, 317)(163, 306)(164, 308)(165, 423)(166, 309)(167, 373)(168, 310)(169, 363)(170, 311)(171, 319)(172, 426)(173, 376)(174, 356)(175, 321)(176, 369)(177, 427)(178, 316)(179, 365)(180, 338)(181, 318)(182, 347)(183, 333)(184, 340)(185, 329)(186, 370)(187, 337)(188, 428)(189, 355)(190, 326)(191, 344)(192, 341)(193, 328)(194, 366)(195, 345)(196, 335)(197, 331)(198, 358)(199, 361)(200, 336)(201, 343)(202, 372)(203, 429)(204, 430)(205, 353)(206, 359)(207, 431)(208, 401)(209, 395)(210, 432)(211, 399)(212, 398)(213, 417)(214, 421)(215, 425)(216, 424)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: chiral
Dual of E28.3026
Transitivity :: ET+ VT+
Graph::
	v = 27 e = 216 f = 135
	degree seq :: [ 16^27 ]

E28.3028 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 3, 12})
Quotient :: edge
Aut^+ = (C3 x C3 x Q8) : C3 (small group id <216, 42>)
Aut   = $<432, 258>$ (small group id <432, 258>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, (T2^-1 * T1^-1)^3, T2^-2 * T1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1, T2^-2 * T1^-1 * T2 * T1 * T2^2 * T1^-1 * T2^-1 * T1, T1^-1 * T2^-1 * T1 * T2^2 * T1^-1 * T2 * T1 * T2^-2, T2^4 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2, T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2^2, T2^-1 * T1 * T2^3 * T1 * T2^-1 * T1^-1 * T2^2 * T1^-1, T2^-1 * T1^-1 * T2 * T1 * T2^-4 * T1 * T2 * T1^-1, (T2^3 * T1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 25, 59, 132, 188, 110, 93, 39, 15, 5)(2, 6, 17, 42, 100, 65, 141, 155, 119, 51, 21, 7)(4, 11, 30, 70, 149, 105, 164, 82, 160, 78, 33, 12)(8, 22, 52, 121, 190, 113, 111, 104, 95, 125, 55, 23)(10, 27, 64, 140, 189, 112, 47, 19, 46, 109, 67, 28)(13, 34, 80, 153, 73, 31, 72, 106, 185, 165, 84, 35)(14, 36, 86, 167, 120, 156, 152, 145, 178, 96, 40, 16)(18, 44, 66, 142, 163, 81, 75, 32, 74, 137, 107, 45)(20, 48, 114, 166, 85, 83, 63, 54, 123, 146, 68, 29)(24, 56, 126, 198, 212, 196, 175, 154, 77, 157, 128, 57)(26, 61, 136, 202, 211, 195, 122, 53, 49, 115, 138, 62)(37, 88, 170, 151, 71, 87, 131, 200, 214, 204, 171, 89)(38, 90, 172, 98, 41, 97, 133, 201, 213, 197, 161, 79)(43, 102, 183, 210, 215, 207, 176, 94, 76, 143, 184, 103)(50, 116, 192, 147, 69, 139, 180, 209, 216, 208, 186, 108)(58, 129, 199, 150, 205, 174, 91, 173, 144, 159, 168, 130)(60, 134, 194, 117, 193, 169, 92, 127, 124, 99, 162, 135)(101, 181, 206, 158, 203, 191, 118, 179, 177, 148, 187, 182)(217, 218, 220)(219, 224, 226)(221, 229, 230)(222, 232, 234)(223, 235, 236)(225, 240, 242)(227, 245, 247)(228, 248, 238)(231, 253, 254)(233, 257, 259)(237, 265, 266)(239, 269, 270)(241, 274, 276)(243, 279, 281)(244, 282, 272)(246, 285, 287)(249, 292, 293)(250, 295, 297)(251, 298, 299)(252, 301, 303)(255, 307, 308)(256, 310, 311)(258, 315, 317)(260, 320, 321)(261, 322, 313)(262, 324, 300)(263, 326, 327)(264, 329, 277)(267, 333, 334)(268, 336, 318)(271, 340, 332)(273, 343, 330)(275, 347, 349)(278, 353, 345)(280, 355, 289)(283, 359, 360)(284, 305, 361)(286, 364, 366)(288, 368, 348)(290, 370, 328)(291, 371, 372)(294, 374, 375)(296, 378, 319)(302, 363, 384)(304, 385, 323)(306, 362, 346)(309, 391, 338)(312, 393, 373)(314, 395, 337)(316, 352, 396)(325, 403, 367)(331, 407, 369)(335, 377, 392)(339, 412, 350)(341, 413, 397)(342, 365, 399)(344, 388, 408)(351, 379, 416)(354, 400, 386)(356, 419, 420)(357, 380, 404)(358, 389, 411)(376, 402, 387)(381, 418, 398)(382, 390, 417)(383, 422, 414)(394, 424, 421)(401, 409, 423)(405, 426, 415)(406, 410, 425)(427, 431, 430)(428, 429, 432)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 6^3 ), ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E28.3029
Transitivity :: ET+
Graph:: simple bipartite
	v = 90 e = 216 f = 72
	degree seq :: [ 3^72, 12^18 ]

E28.3029 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 3, 12})
Quotient :: loop
Aut^+ = (C3 x C3 x Q8) : C3 (small group id <216, 42>)
Aut   = $<432, 258>$ (small group id <432, 258>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^3, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1, T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1, (T2 * T1^-1)^6, T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1, (T2^-1 * T1^-1)^12 ]
Map:: polytopal non-degenerate
	R = (1, 217, 3, 219, 5, 221)(2, 218, 6, 222, 7, 223)(4, 220, 10, 226, 11, 227)(8, 224, 18, 234, 19, 235)(9, 225, 20, 236, 21, 237)(12, 228, 26, 242, 27, 243)(13, 229, 28, 244, 29, 245)(14, 230, 30, 246, 31, 247)(15, 231, 32, 248, 33, 249)(16, 232, 34, 250, 35, 251)(17, 233, 36, 252, 37, 253)(22, 238, 46, 262, 47, 263)(23, 239, 48, 264, 49, 265)(24, 240, 50, 266, 51, 267)(25, 241, 52, 268, 53, 269)(38, 254, 78, 294, 79, 295)(39, 255, 70, 286, 80, 296)(40, 256, 81, 297, 82, 298)(41, 257, 83, 299, 84, 300)(42, 258, 64, 280, 85, 301)(43, 259, 86, 302, 87, 303)(44, 260, 88, 304, 89, 305)(45, 261, 76, 292, 90, 306)(54, 270, 105, 321, 92, 308)(55, 271, 106, 322, 107, 323)(56, 272, 67, 283, 108, 324)(57, 273, 109, 325, 102, 318)(58, 274, 110, 326, 111, 327)(59, 275, 73, 289, 112, 328)(60, 276, 113, 329, 97, 313)(61, 277, 114, 330, 115, 331)(62, 278, 116, 332, 117, 333)(63, 279, 98, 314, 118, 334)(65, 281, 119, 335, 120, 336)(66, 282, 93, 309, 121, 337)(68, 284, 122, 338, 123, 339)(69, 285, 103, 319, 124, 340)(71, 287, 125, 341, 126, 342)(72, 288, 95, 311, 127, 343)(74, 290, 128, 344, 129, 345)(75, 291, 100, 316, 130, 346)(77, 293, 131, 347, 132, 348)(91, 307, 148, 364, 149, 365)(94, 310, 150, 366, 151, 367)(96, 312, 152, 368, 153, 369)(99, 315, 154, 370, 155, 371)(101, 317, 156, 372, 157, 373)(104, 320, 158, 374, 159, 375)(133, 349, 179, 395, 191, 407)(134, 350, 143, 359, 184, 400)(135, 351, 192, 408, 193, 409)(136, 352, 194, 410, 195, 411)(137, 353, 146, 362, 196, 412)(138, 354, 165, 381, 171, 387)(139, 355, 197, 413, 198, 414)(140, 356, 145, 361, 199, 415)(141, 357, 200, 416, 173, 389)(142, 358, 187, 403, 201, 417)(144, 360, 185, 401, 202, 418)(147, 363, 203, 419, 204, 420)(160, 376, 186, 402, 189, 405)(161, 377, 167, 383, 210, 426)(162, 378, 211, 427, 208, 424)(163, 379, 169, 385, 174, 390)(164, 380, 190, 406, 207, 423)(166, 382, 212, 428, 176, 392)(168, 384, 172, 388, 180, 396)(170, 386, 177, 393, 182, 398)(175, 391, 183, 399, 213, 429)(178, 394, 214, 430, 205, 421)(181, 397, 209, 425, 215, 431)(188, 404, 216, 432, 206, 422)
	L = (1, 218)(2, 220)(3, 224)(4, 217)(5, 228)(6, 230)(7, 232)(8, 225)(9, 219)(10, 238)(11, 240)(12, 229)(13, 221)(14, 231)(15, 222)(16, 233)(17, 223)(18, 254)(19, 256)(20, 258)(21, 260)(22, 239)(23, 226)(24, 241)(25, 227)(26, 270)(27, 272)(28, 274)(29, 276)(30, 278)(31, 280)(32, 282)(33, 284)(34, 286)(35, 288)(36, 290)(37, 292)(38, 255)(39, 234)(40, 257)(41, 235)(42, 259)(43, 236)(44, 261)(45, 237)(46, 307)(47, 309)(48, 298)(49, 312)(50, 314)(51, 303)(52, 317)(53, 319)(54, 271)(55, 242)(56, 273)(57, 243)(58, 275)(59, 244)(60, 277)(61, 245)(62, 279)(63, 246)(64, 281)(65, 247)(66, 283)(67, 248)(68, 285)(69, 249)(70, 287)(71, 250)(72, 289)(73, 251)(74, 291)(75, 252)(76, 293)(77, 253)(78, 349)(79, 326)(80, 352)(81, 322)(82, 311)(83, 355)(84, 330)(85, 341)(86, 324)(87, 316)(88, 359)(89, 328)(90, 362)(91, 308)(92, 262)(93, 310)(94, 263)(95, 264)(96, 313)(97, 265)(98, 315)(99, 266)(100, 267)(101, 318)(102, 268)(103, 320)(104, 269)(105, 376)(106, 354)(107, 378)(108, 343)(109, 380)(110, 351)(111, 381)(112, 361)(113, 383)(114, 357)(115, 385)(116, 387)(117, 344)(118, 390)(119, 392)(120, 347)(121, 370)(122, 396)(123, 346)(124, 399)(125, 358)(126, 401)(127, 302)(128, 389)(129, 403)(130, 398)(131, 394)(132, 405)(133, 350)(134, 294)(135, 295)(136, 353)(137, 296)(138, 297)(139, 356)(140, 299)(141, 300)(142, 301)(143, 360)(144, 304)(145, 305)(146, 363)(147, 306)(148, 417)(149, 372)(150, 422)(151, 374)(152, 420)(153, 325)(154, 395)(155, 425)(156, 421)(157, 407)(158, 408)(159, 411)(160, 377)(161, 321)(162, 379)(163, 323)(164, 369)(165, 382)(166, 327)(167, 384)(168, 329)(169, 386)(170, 331)(171, 388)(172, 332)(173, 333)(174, 391)(175, 334)(176, 393)(177, 335)(178, 336)(179, 337)(180, 397)(181, 338)(182, 339)(183, 400)(184, 340)(185, 402)(186, 342)(187, 404)(188, 345)(189, 406)(190, 348)(191, 413)(192, 367)(193, 416)(194, 371)(195, 415)(196, 429)(197, 373)(198, 428)(199, 375)(200, 430)(201, 419)(202, 431)(203, 364)(204, 424)(205, 365)(206, 423)(207, 366)(208, 368)(209, 410)(210, 412)(211, 418)(212, 432)(213, 426)(214, 409)(215, 427)(216, 414)
	local type(s) :: { ( 3, 12, 3, 12, 3, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3028
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 72 e = 216 f = 90
	degree seq :: [ 6^72 ]

E28.3030 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 12})
Quotient :: dipole
Aut^+ = (C3 x C3 x Q8) : C3 (small group id <216, 42>)
Aut   = $<432, 258>$ (small group id <432, 258>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^3, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1^-1)^3, (Y3^-1 * Y1^-1)^3, Y2 * Y1^-1 * Y2^2 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1, Y1^-1 * Y2^-1 * Y1 * Y2^2 * Y1^-1 * Y2 * Y1 * Y2^-2, Y2 * Y1^-1 * Y2^-2 * Y1 * Y2^-1 * Y1^-1 * Y2^2 * Y1, Y2^4 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^2, Y2^-1 * Y1 * Y2^3 * Y1 * Y2^-1 * Y1^-1 * Y2^2 * Y1^-1, Y2^-1 * Y1^-1 * Y2 * Y1 * Y2^-4 * Y1 * Y2 * Y1^-1, (Y2^3 * Y1^-1)^3 ]
Map::
	R = (1, 217, 2, 218, 4, 220)(3, 219, 8, 224, 10, 226)(5, 221, 13, 229, 14, 230)(6, 222, 16, 232, 18, 234)(7, 223, 19, 235, 20, 236)(9, 225, 24, 240, 26, 242)(11, 227, 29, 245, 31, 247)(12, 228, 32, 248, 22, 238)(15, 231, 37, 253, 38, 254)(17, 233, 41, 257, 43, 259)(21, 237, 49, 265, 50, 266)(23, 239, 53, 269, 54, 270)(25, 241, 58, 274, 60, 276)(27, 243, 63, 279, 65, 281)(28, 244, 66, 282, 56, 272)(30, 246, 69, 285, 71, 287)(33, 249, 76, 292, 77, 293)(34, 250, 79, 295, 81, 297)(35, 251, 82, 298, 83, 299)(36, 252, 85, 301, 87, 303)(39, 255, 91, 307, 92, 308)(40, 256, 94, 310, 95, 311)(42, 258, 99, 315, 101, 317)(44, 260, 104, 320, 105, 321)(45, 261, 106, 322, 97, 313)(46, 262, 108, 324, 84, 300)(47, 263, 110, 326, 111, 327)(48, 264, 113, 329, 61, 277)(51, 267, 117, 333, 118, 334)(52, 268, 120, 336, 102, 318)(55, 271, 124, 340, 116, 332)(57, 273, 127, 343, 114, 330)(59, 275, 131, 347, 133, 349)(62, 278, 137, 353, 129, 345)(64, 280, 139, 355, 73, 289)(67, 283, 143, 359, 144, 360)(68, 284, 89, 305, 145, 361)(70, 286, 148, 364, 150, 366)(72, 288, 152, 368, 132, 348)(74, 290, 154, 370, 112, 328)(75, 291, 155, 371, 156, 372)(78, 294, 158, 374, 159, 375)(80, 296, 162, 378, 103, 319)(86, 302, 147, 363, 168, 384)(88, 304, 169, 385, 107, 323)(90, 306, 146, 362, 130, 346)(93, 309, 175, 391, 122, 338)(96, 312, 177, 393, 157, 373)(98, 314, 179, 395, 121, 337)(100, 316, 136, 352, 180, 396)(109, 325, 187, 403, 151, 367)(115, 331, 191, 407, 153, 369)(119, 335, 161, 377, 176, 392)(123, 339, 196, 412, 134, 350)(125, 341, 197, 413, 181, 397)(126, 342, 149, 365, 183, 399)(128, 344, 172, 388, 192, 408)(135, 351, 163, 379, 200, 416)(138, 354, 184, 400, 170, 386)(140, 356, 203, 419, 204, 420)(141, 357, 164, 380, 188, 404)(142, 358, 173, 389, 195, 411)(160, 376, 186, 402, 171, 387)(165, 381, 202, 418, 182, 398)(166, 382, 174, 390, 201, 417)(167, 383, 206, 422, 198, 414)(178, 394, 208, 424, 205, 421)(185, 401, 193, 409, 207, 423)(189, 405, 210, 426, 199, 415)(190, 406, 194, 410, 209, 425)(211, 427, 215, 431, 214, 430)(212, 428, 213, 429, 216, 432)(433, 649, 435, 651, 441, 657, 457, 673, 491, 707, 564, 780, 620, 836, 542, 758, 525, 741, 471, 687, 447, 663, 437, 653)(434, 650, 438, 654, 449, 665, 474, 690, 532, 748, 497, 713, 573, 789, 587, 803, 551, 767, 483, 699, 453, 669, 439, 655)(436, 652, 443, 659, 462, 678, 502, 718, 581, 797, 537, 753, 596, 812, 514, 730, 592, 808, 510, 726, 465, 681, 444, 660)(440, 656, 454, 670, 484, 700, 553, 769, 622, 838, 545, 761, 543, 759, 536, 752, 527, 743, 557, 773, 487, 703, 455, 671)(442, 658, 459, 675, 496, 712, 572, 788, 621, 837, 544, 760, 479, 695, 451, 667, 478, 694, 541, 757, 499, 715, 460, 676)(445, 661, 466, 682, 512, 728, 585, 801, 505, 721, 463, 679, 504, 720, 538, 754, 617, 833, 597, 813, 516, 732, 467, 683)(446, 662, 468, 684, 518, 734, 599, 815, 552, 768, 588, 804, 584, 800, 577, 793, 610, 826, 528, 744, 472, 688, 448, 664)(450, 666, 476, 692, 498, 714, 574, 790, 595, 811, 513, 729, 507, 723, 464, 680, 506, 722, 569, 785, 539, 755, 477, 693)(452, 668, 480, 696, 546, 762, 598, 814, 517, 733, 515, 731, 495, 711, 486, 702, 555, 771, 578, 794, 500, 716, 461, 677)(456, 672, 488, 704, 558, 774, 630, 846, 644, 860, 628, 844, 607, 823, 586, 802, 509, 725, 589, 805, 560, 776, 489, 705)(458, 674, 493, 709, 568, 784, 634, 850, 643, 859, 627, 843, 554, 770, 485, 701, 481, 697, 547, 763, 570, 786, 494, 710)(469, 685, 520, 736, 602, 818, 583, 799, 503, 719, 519, 735, 563, 779, 632, 848, 646, 862, 636, 852, 603, 819, 521, 737)(470, 686, 522, 738, 604, 820, 530, 746, 473, 689, 529, 745, 565, 781, 633, 849, 645, 861, 629, 845, 593, 809, 511, 727)(475, 691, 534, 750, 615, 831, 642, 858, 647, 863, 639, 855, 608, 824, 526, 742, 508, 724, 575, 791, 616, 832, 535, 751)(482, 698, 548, 764, 624, 840, 579, 795, 501, 717, 571, 787, 612, 828, 641, 857, 648, 864, 640, 856, 618, 834, 540, 756)(490, 706, 561, 777, 631, 847, 582, 798, 637, 853, 606, 822, 523, 739, 605, 821, 576, 792, 591, 807, 600, 816, 562, 778)(492, 708, 566, 782, 626, 842, 549, 765, 625, 841, 601, 817, 524, 740, 559, 775, 556, 772, 531, 747, 594, 810, 567, 783)(533, 749, 613, 829, 638, 854, 590, 806, 635, 851, 623, 839, 550, 766, 611, 827, 609, 825, 580, 796, 619, 835, 614, 830)
	L = (1, 435)(2, 438)(3, 441)(4, 443)(5, 433)(6, 449)(7, 434)(8, 454)(9, 457)(10, 459)(11, 462)(12, 436)(13, 466)(14, 468)(15, 437)(16, 446)(17, 474)(18, 476)(19, 478)(20, 480)(21, 439)(22, 484)(23, 440)(24, 488)(25, 491)(26, 493)(27, 496)(28, 442)(29, 452)(30, 502)(31, 504)(32, 506)(33, 444)(34, 512)(35, 445)(36, 518)(37, 520)(38, 522)(39, 447)(40, 448)(41, 529)(42, 532)(43, 534)(44, 498)(45, 450)(46, 541)(47, 451)(48, 546)(49, 547)(50, 548)(51, 453)(52, 553)(53, 481)(54, 555)(55, 455)(56, 558)(57, 456)(58, 561)(59, 564)(60, 566)(61, 568)(62, 458)(63, 486)(64, 572)(65, 573)(66, 574)(67, 460)(68, 461)(69, 571)(70, 581)(71, 519)(72, 538)(73, 463)(74, 569)(75, 464)(76, 575)(77, 589)(78, 465)(79, 470)(80, 585)(81, 507)(82, 592)(83, 495)(84, 467)(85, 515)(86, 599)(87, 563)(88, 602)(89, 469)(90, 604)(91, 605)(92, 559)(93, 471)(94, 508)(95, 557)(96, 472)(97, 565)(98, 473)(99, 594)(100, 497)(101, 613)(102, 615)(103, 475)(104, 527)(105, 596)(106, 617)(107, 477)(108, 482)(109, 499)(110, 525)(111, 536)(112, 479)(113, 543)(114, 598)(115, 570)(116, 624)(117, 625)(118, 611)(119, 483)(120, 588)(121, 622)(122, 485)(123, 578)(124, 531)(125, 487)(126, 630)(127, 556)(128, 489)(129, 631)(130, 490)(131, 632)(132, 620)(133, 633)(134, 626)(135, 492)(136, 634)(137, 539)(138, 494)(139, 612)(140, 621)(141, 587)(142, 595)(143, 616)(144, 591)(145, 610)(146, 500)(147, 501)(148, 619)(149, 537)(150, 637)(151, 503)(152, 577)(153, 505)(154, 509)(155, 551)(156, 584)(157, 560)(158, 635)(159, 600)(160, 510)(161, 511)(162, 567)(163, 513)(164, 514)(165, 516)(166, 517)(167, 552)(168, 562)(169, 524)(170, 583)(171, 521)(172, 530)(173, 576)(174, 523)(175, 586)(176, 526)(177, 580)(178, 528)(179, 609)(180, 641)(181, 638)(182, 533)(183, 642)(184, 535)(185, 597)(186, 540)(187, 614)(188, 542)(189, 544)(190, 545)(191, 550)(192, 579)(193, 601)(194, 549)(195, 554)(196, 607)(197, 593)(198, 644)(199, 582)(200, 646)(201, 645)(202, 643)(203, 623)(204, 603)(205, 606)(206, 590)(207, 608)(208, 618)(209, 648)(210, 647)(211, 627)(212, 628)(213, 629)(214, 636)(215, 639)(216, 640)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.3031
Graph:: bipartite
	v = 90 e = 432 f = 288
	degree seq :: [ 6^72, 24^18 ]

E28.3031 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 12})
Quotient :: dipole
Aut^+ = (C3 x C3 x Q8) : C3 (small group id <216, 42>)
Aut   = $<432, 258>$ (small group id <432, 258>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y3^2 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2, Y3^-5 * Y2 * Y3 * Y2 * Y3 * Y2, Y3^3 * Y2^-1 * Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-1 * Y2^-1, Y2 * Y3^-2 * Y2 * Y3^4 * Y2 * Y3^-2, (Y2^-1 * Y3^-3)^3, (Y3^-1 * Y1^-1)^12 ]
Map:: polytopal
	R = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)(433, 649, 434, 650, 436, 652)(435, 651, 440, 656, 442, 658)(437, 653, 445, 661, 446, 662)(438, 654, 448, 664, 450, 666)(439, 655, 451, 667, 452, 668)(441, 657, 456, 672, 458, 674)(443, 659, 460, 676, 462, 678)(444, 660, 463, 679, 464, 680)(447, 663, 469, 685, 470, 686)(449, 665, 474, 690, 476, 692)(453, 669, 481, 697, 482, 698)(454, 670, 484, 700, 486, 702)(455, 671, 487, 703, 488, 704)(457, 673, 492, 708, 494, 710)(459, 675, 496, 712, 497, 713)(461, 677, 501, 717, 503, 719)(465, 681, 508, 724, 509, 725)(466, 682, 511, 727, 513, 729)(467, 683, 514, 730, 516, 732)(468, 684, 517, 733, 518, 734)(471, 687, 523, 739, 524, 740)(472, 688, 526, 742, 528, 744)(473, 689, 529, 745, 485, 701)(475, 691, 532, 748, 534, 750)(477, 693, 536, 752, 522, 738)(478, 694, 538, 754, 540, 756)(479, 695, 541, 757, 543, 759)(480, 696, 544, 760, 545, 761)(483, 699, 549, 765, 550, 766)(489, 705, 557, 773, 547, 763)(490, 706, 559, 775, 505, 721)(491, 707, 561, 777, 542, 758)(493, 709, 565, 781, 566, 782)(495, 711, 568, 784, 569, 785)(498, 714, 573, 789, 574, 790)(499, 715, 576, 792, 577, 793)(500, 716, 578, 794, 527, 743)(502, 718, 581, 797, 582, 798)(504, 720, 584, 800, 548, 764)(506, 722, 519, 735, 586, 802)(507, 723, 587, 803, 588, 804)(510, 726, 590, 806, 591, 807)(512, 728, 593, 809, 535, 751)(515, 731, 580, 796, 597, 813)(520, 736, 567, 783, 537, 753)(521, 737, 579, 795, 603, 819)(525, 741, 572, 788, 607, 823)(530, 746, 611, 827, 589, 805)(531, 747, 612, 828, 558, 774)(533, 749, 555, 771, 615, 831)(539, 755, 619, 835, 583, 799)(546, 762, 616, 832, 585, 801)(551, 767, 604, 820, 626, 842)(552, 768, 608, 824, 599, 815)(553, 769, 610, 826, 560, 776)(554, 770, 627, 843, 624, 840)(556, 772, 629, 845, 605, 821)(562, 778, 602, 818, 622, 838)(563, 779, 631, 847, 571, 787)(564, 780, 633, 849, 596, 812)(570, 786, 617, 833, 601, 817)(575, 791, 635, 851, 636, 852)(592, 808, 623, 839, 598, 814)(594, 810, 628, 844, 625, 841)(595, 811, 634, 850, 606, 822)(600, 816, 637, 853, 630, 846)(609, 825, 639, 855, 638, 854)(613, 829, 641, 857, 618, 834)(614, 830, 642, 858, 621, 837)(620, 836, 640, 856, 632, 848)(643, 859, 647, 863, 645, 861)(644, 860, 648, 864, 646, 862)
	L = (1, 435)(2, 438)(3, 441)(4, 443)(5, 433)(6, 449)(7, 434)(8, 454)(9, 457)(10, 451)(11, 461)(12, 436)(13, 466)(14, 467)(15, 437)(16, 472)(17, 475)(18, 463)(19, 478)(20, 479)(21, 439)(22, 485)(23, 440)(24, 490)(25, 493)(26, 487)(27, 442)(28, 499)(29, 502)(30, 445)(31, 505)(32, 506)(33, 444)(34, 512)(35, 515)(36, 446)(37, 520)(38, 521)(39, 447)(40, 527)(41, 448)(42, 511)(43, 533)(44, 529)(45, 450)(46, 539)(47, 542)(48, 452)(49, 546)(50, 547)(51, 453)(52, 552)(53, 554)(54, 496)(55, 555)(56, 556)(57, 455)(58, 560)(59, 456)(60, 563)(61, 526)(62, 561)(63, 458)(64, 571)(65, 509)(66, 459)(67, 488)(68, 460)(69, 538)(70, 553)(71, 578)(72, 462)(73, 568)(74, 558)(75, 464)(76, 573)(77, 589)(78, 465)(79, 566)(80, 594)(81, 517)(82, 480)(83, 530)(84, 469)(85, 486)(86, 551)(87, 468)(88, 601)(89, 602)(90, 470)(91, 569)(92, 605)(93, 471)(94, 608)(95, 609)(96, 536)(97, 610)(98, 473)(99, 474)(100, 613)(101, 576)(102, 612)(103, 476)(104, 618)(105, 477)(106, 615)(107, 620)(108, 544)(109, 507)(110, 579)(111, 481)(112, 528)(113, 592)(114, 570)(115, 622)(116, 482)(117, 593)(118, 624)(119, 483)(120, 545)(121, 484)(122, 621)(123, 628)(124, 596)(125, 549)(126, 489)(127, 587)(128, 630)(129, 614)(130, 491)(131, 632)(132, 492)(133, 634)(134, 633)(135, 494)(136, 595)(137, 574)(138, 495)(139, 537)(140, 497)(141, 617)(142, 582)(143, 498)(144, 599)(145, 584)(146, 565)(147, 500)(148, 501)(149, 635)(150, 597)(151, 503)(152, 575)(153, 504)(154, 508)(155, 577)(156, 525)(157, 562)(158, 619)(159, 638)(160, 510)(161, 567)(162, 540)(163, 513)(164, 514)(165, 564)(166, 516)(167, 518)(168, 519)(169, 583)(170, 531)(171, 523)(172, 522)(173, 557)(174, 524)(175, 543)(176, 588)(177, 600)(178, 640)(179, 590)(180, 637)(181, 606)(182, 532)(183, 642)(184, 534)(185, 535)(186, 585)(187, 616)(188, 559)(189, 541)(190, 580)(191, 548)(192, 611)(193, 550)(194, 586)(195, 604)(196, 644)(197, 572)(198, 645)(199, 607)(200, 591)(201, 643)(202, 646)(203, 625)(204, 598)(205, 581)(206, 603)(207, 623)(208, 648)(209, 626)(210, 647)(211, 627)(212, 631)(213, 629)(214, 636)(215, 639)(216, 641)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 6, 24 ), ( 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.3030
Graph:: simple bipartite
	v = 288 e = 432 f = 90
	degree seq :: [ 2^216, 6^72 ]

E28.3032 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 12})
Quotient :: regular
Aut^+ = (C4 x ((C3 x C3) : C3)) : C2 (small group id <216, 51>)
Aut   = $<432, 301>$ (small group id <432, 301>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2 * T1^-1)^2, (T2 * T1)^6, T1^12, T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1, (T2 * T1 * T2 * T1 * T2 * T1^-2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 43, 75, 74, 42, 22, 10, 4)(3, 7, 15, 31, 55, 95, 122, 79, 45, 24, 18, 8)(6, 13, 27, 21, 41, 72, 119, 125, 77, 44, 30, 14)(9, 19, 38, 66, 112, 123, 76, 48, 26, 12, 25, 20)(16, 33, 58, 37, 65, 110, 127, 174, 150, 96, 61, 34)(17, 35, 62, 78, 126, 172, 149, 99, 57, 32, 56, 36)(28, 50, 87, 54, 94, 147, 171, 168, 121, 73, 90, 51)(29, 52, 91, 124, 170, 166, 120, 137, 86, 49, 85, 53)(39, 68, 81, 46, 80, 128, 84, 134, 179, 163, 117, 69)(40, 70, 83, 47, 82, 131, 169, 164, 114, 67, 113, 71)(59, 101, 154, 105, 158, 196, 204, 176, 162, 111, 133, 102)(60, 103, 156, 189, 201, 186, 145, 92, 144, 100, 135, 104)(63, 107, 130, 97, 151, 116, 153, 193, 203, 173, 160, 108)(64, 109, 142, 98, 152, 191, 202, 188, 148, 106, 139, 88)(89, 140, 183, 167, 199, 207, 178, 132, 177, 138, 118, 141)(93, 146, 115, 136, 181, 165, 200, 208, 180, 143, 175, 129)(155, 182, 205, 198, 212, 216, 213, 192, 209, 194, 161, 187)(157, 184, 159, 185, 206, 197, 211, 215, 214, 195, 210, 190)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 39)(20, 40)(22, 31)(23, 44)(25, 46)(26, 47)(27, 49)(30, 54)(33, 59)(34, 60)(35, 63)(36, 64)(38, 67)(41, 73)(42, 66)(43, 76)(45, 78)(48, 84)(50, 88)(51, 89)(52, 92)(53, 93)(55, 96)(56, 97)(57, 98)(58, 100)(61, 105)(62, 106)(65, 111)(68, 115)(69, 116)(70, 118)(71, 101)(72, 120)(74, 119)(75, 122)(77, 124)(79, 127)(80, 129)(81, 130)(82, 132)(83, 133)(85, 135)(86, 136)(87, 138)(90, 142)(91, 143)(94, 148)(95, 149)(99, 153)(102, 155)(103, 137)(104, 157)(107, 159)(108, 128)(109, 161)(110, 145)(112, 163)(113, 140)(114, 158)(117, 165)(121, 167)(123, 169)(125, 171)(126, 173)(131, 176)(134, 180)(139, 182)(141, 184)(144, 185)(146, 187)(147, 178)(150, 189)(151, 190)(152, 192)(154, 194)(156, 195)(160, 197)(162, 198)(164, 199)(166, 200)(168, 191)(170, 201)(172, 202)(174, 204)(175, 205)(177, 206)(179, 203)(181, 209)(183, 210)(186, 211)(188, 212)(193, 214)(196, 213)(207, 215)(208, 216)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E28.3035
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 12^18 ]

E28.3033 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 12})
Quotient :: regular
Aut^+ = (C2 x (((C3 x C3) : C3) : C2)) : C2 (small group id <216, 37>)
Aut   = $<432, 301>$ (small group id <432, 301>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1^-3 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-2, (T1^-1 * T2)^6, T1^12, T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-2, T2 * T1^2 * T2 * T1^-1 * T2 * T1^-4 * T2 * T1^-1, (T2 * T1 * T2 * T1 * T2 * T1^-1)^2, (T1^-5 * T2 * T1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 47, 95, 94, 46, 22, 10, 4)(3, 7, 15, 31, 63, 127, 154, 144, 78, 38, 18, 8)(6, 13, 27, 55, 111, 175, 153, 180, 126, 62, 30, 14)(9, 19, 39, 79, 145, 156, 96, 155, 142, 86, 42, 20)(12, 25, 51, 103, 166, 136, 93, 152, 174, 110, 54, 26)(16, 33, 67, 108, 53, 107, 169, 205, 190, 137, 70, 34)(17, 35, 71, 138, 173, 206, 181, 149, 88, 141, 74, 36)(21, 43, 87, 148, 159, 98, 48, 97, 157, 133, 90, 44)(24, 49, 99, 160, 131, 92, 45, 91, 150, 165, 102, 50)(28, 57, 115, 163, 101, 162, 200, 193, 146, 177, 118, 58)(29, 59, 119, 178, 204, 194, 147, 82, 40, 81, 122, 60)(32, 65, 104, 85, 124, 61, 123, 164, 203, 186, 132, 66)(37, 75, 109, 172, 198, 182, 128, 80, 114, 56, 113, 76)(41, 83, 100, 161, 125, 179, 196, 195, 151, 176, 112, 84)(52, 105, 77, 143, 158, 197, 185, 130, 64, 129, 89, 106)(68, 134, 187, 208, 184, 211, 215, 210, 191, 202, 167, 121)(69, 135, 188, 212, 214, 201, 170, 120, 72, 139, 168, 117)(73, 140, 183, 207, 189, 213, 216, 209, 192, 199, 171, 116)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 48)(25, 52)(26, 53)(27, 56)(30, 61)(31, 64)(33, 68)(34, 69)(35, 72)(36, 73)(38, 77)(39, 80)(42, 85)(43, 88)(44, 89)(46, 93)(47, 96)(49, 100)(50, 101)(51, 104)(54, 109)(55, 112)(57, 116)(58, 117)(59, 120)(60, 121)(62, 125)(63, 128)(65, 131)(66, 111)(67, 133)(70, 136)(71, 97)(74, 103)(75, 142)(76, 99)(78, 123)(79, 146)(81, 140)(82, 135)(83, 139)(84, 134)(86, 115)(87, 132)(90, 113)(91, 151)(92, 118)(94, 153)(95, 154)(98, 158)(102, 164)(105, 167)(106, 168)(107, 170)(108, 171)(110, 173)(114, 166)(119, 155)(122, 160)(124, 157)(126, 172)(127, 181)(129, 183)(130, 184)(137, 189)(138, 191)(141, 187)(143, 192)(144, 169)(145, 186)(147, 175)(148, 190)(149, 188)(150, 182)(152, 185)(156, 196)(159, 198)(161, 199)(162, 201)(163, 202)(165, 204)(174, 203)(176, 207)(177, 208)(178, 209)(179, 210)(180, 200)(193, 213)(194, 211)(195, 212)(197, 214)(205, 215)(206, 216)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E28.3036
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 12^18 ]

E28.3034 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 12})
Quotient :: regular
Aut^+ = (C2 x C2 x ((C3 x C3) : C3)) : C2 (small group id <216, 60>)
Aut   = $<432, 324>$ (small group id <432, 324>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1^3 * T2 * T1^-2 * T2 * T1 * T2 * T1^-2, T1^-3 * T2 * T1 * T2 * T1^2 * T2 * T1 * T2 * T1^-1, T1^12, (T1^-1 * T2)^6, (T2 * T1^-6)^2, T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 47, 95, 94, 46, 22, 10, 4)(3, 7, 15, 31, 63, 127, 160, 147, 78, 38, 18, 8)(6, 13, 27, 55, 111, 181, 159, 192, 126, 62, 30, 14)(9, 19, 39, 79, 129, 162, 96, 161, 153, 86, 42, 20)(12, 25, 51, 103, 172, 158, 93, 140, 180, 110, 54, 26)(16, 33, 67, 130, 173, 213, 204, 154, 89, 135, 70, 34)(17, 35, 71, 106, 52, 105, 175, 214, 200, 141, 74, 36)(21, 43, 87, 136, 165, 98, 48, 97, 163, 155, 90, 44)(24, 49, 99, 166, 157, 92, 45, 91, 142, 171, 102, 50)(28, 57, 115, 183, 208, 199, 151, 84, 41, 83, 118, 58)(29, 59, 119, 169, 100, 168, 210, 196, 152, 190, 122, 60)(32, 65, 104, 174, 206, 203, 146, 85, 124, 61, 123, 66)(37, 75, 109, 80, 114, 56, 113, 167, 209, 201, 143, 76)(40, 81, 101, 170, 112, 182, 205, 195, 156, 191, 125, 82)(53, 107, 64, 128, 164, 207, 202, 145, 77, 144, 88, 108)(68, 131, 176, 121, 189, 148, 184, 116, 73, 139, 179, 132)(69, 133, 177, 215, 193, 150, 188, 120, 187, 212, 197, 134)(72, 137, 178, 216, 194, 149, 186, 117, 185, 211, 198, 138)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 48)(25, 52)(26, 53)(27, 56)(30, 61)(31, 64)(33, 68)(34, 69)(35, 72)(36, 73)(38, 77)(39, 80)(42, 85)(43, 88)(44, 89)(46, 93)(47, 96)(49, 100)(50, 101)(51, 104)(54, 109)(55, 112)(57, 116)(58, 117)(59, 120)(60, 121)(62, 125)(63, 113)(65, 129)(66, 102)(67, 98)(70, 110)(71, 136)(74, 140)(75, 142)(76, 126)(78, 146)(79, 119)(81, 148)(82, 149)(83, 150)(84, 131)(86, 152)(87, 123)(90, 143)(91, 122)(92, 156)(94, 159)(95, 160)(97, 164)(99, 167)(103, 173)(105, 176)(106, 177)(107, 178)(108, 179)(111, 174)(114, 165)(115, 162)(118, 171)(124, 180)(127, 175)(128, 193)(130, 194)(132, 195)(133, 196)(134, 183)(135, 198)(137, 199)(138, 182)(139, 168)(141, 187)(144, 197)(145, 185)(147, 204)(151, 192)(153, 201)(154, 184)(155, 200)(157, 203)(158, 202)(161, 205)(163, 206)(166, 208)(169, 211)(170, 212)(172, 209)(181, 210)(186, 214)(188, 213)(189, 207)(190, 216)(191, 215)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E28.3037
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 12^18 ]

E28.3035 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 12})
Quotient :: regular
Aut^+ = (C4 x ((C3 x C3) : C3)) : C2 (small group id <216, 51>)
Aut   = $<432, 301>$ (small group id <432, 301>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T2 * T1^-1 * T2 * T1^-2)^2, T1^-1 * T2 * T1^3 * T2 * T1^-2 * T2 * T1 * T2 * T1^-1, (T1 * T2)^12 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 29, 18, 8)(6, 13, 25, 48, 28, 14)(9, 19, 36, 66, 39, 20)(12, 23, 44, 78, 47, 24)(16, 31, 58, 94, 61, 32)(17, 33, 62, 80, 45, 34)(21, 40, 71, 99, 73, 41)(22, 42, 74, 106, 77, 43)(26, 50, 38, 70, 88, 51)(27, 52, 89, 107, 75, 53)(30, 56, 79, 54, 92, 57)(35, 65, 83, 67, 85, 49)(37, 68, 76, 108, 84, 69)(46, 81, 55, 93, 72, 82)(59, 95, 64, 102, 111, 96)(60, 97, 109, 132, 119, 98)(63, 100, 110, 133, 120, 101)(86, 112, 91, 118, 103, 113)(87, 114, 130, 128, 104, 115)(90, 116, 131, 129, 105, 117)(121, 141, 124, 147, 125, 142)(122, 143, 152, 148, 126, 144)(123, 145, 153, 149, 127, 146)(134, 154, 137, 160, 138, 155)(135, 156, 150, 161, 139, 157)(136, 158, 151, 162, 140, 159)(163, 181, 166, 187, 167, 182)(164, 183, 170, 188, 168, 184)(165, 185, 171, 189, 169, 186)(172, 190, 175, 196, 176, 191)(173, 192, 179, 197, 177, 193)(174, 194, 180, 198, 178, 195)(199, 208, 202, 211, 203, 212)(200, 210, 206, 216, 204, 214)(201, 209, 207, 215, 205, 213)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 35)(19, 37)(20, 38)(23, 45)(24, 46)(25, 49)(28, 54)(29, 55)(31, 59)(32, 60)(33, 63)(34, 64)(36, 67)(39, 56)(40, 72)(41, 58)(42, 75)(43, 76)(44, 79)(47, 83)(48, 84)(50, 86)(51, 87)(52, 90)(53, 91)(57, 77)(61, 78)(62, 99)(65, 74)(66, 89)(68, 103)(69, 104)(70, 105)(71, 92)(73, 85)(80, 109)(81, 110)(82, 111)(88, 106)(93, 119)(94, 120)(95, 121)(96, 122)(97, 123)(98, 124)(100, 125)(101, 126)(102, 127)(107, 130)(108, 131)(112, 134)(113, 135)(114, 136)(115, 137)(116, 138)(117, 139)(118, 140)(128, 150)(129, 151)(132, 152)(133, 153)(141, 163)(142, 164)(143, 165)(144, 166)(145, 167)(146, 168)(147, 169)(148, 170)(149, 171)(154, 172)(155, 173)(156, 174)(157, 175)(158, 176)(159, 177)(160, 178)(161, 179)(162, 180)(181, 199)(182, 200)(183, 201)(184, 202)(185, 203)(186, 204)(187, 205)(188, 206)(189, 207)(190, 208)(191, 209)(192, 210)(193, 211)(194, 212)(195, 213)(196, 214)(197, 215)(198, 216)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.3032
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 36 e = 108 f = 18
	degree seq :: [ 6^36 ]

E28.3036 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 12})
Quotient :: regular
Aut^+ = (C2 x (((C3 x C3) : C3) : C2)) : C2 (small group id <216, 37>)
Aut   = $<432, 301>$ (small group id <432, 301>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T2 * T1^-1 * T2 * T1^2)^2, T1^-1 * T2 * T1^-3 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-1, (T1^-1 * T2)^12 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 29, 18, 8)(6, 13, 25, 48, 28, 14)(9, 19, 36, 66, 39, 20)(12, 23, 44, 78, 47, 24)(16, 31, 57, 82, 46, 32)(17, 33, 60, 99, 63, 34)(21, 40, 71, 94, 73, 41)(22, 42, 74, 106, 77, 43)(26, 50, 86, 108, 76, 51)(27, 52, 37, 67, 91, 53)(30, 56, 79, 70, 92, 54)(35, 64, 83, 49, 85, 65)(38, 68, 75, 107, 84, 69)(45, 80, 55, 93, 72, 81)(58, 95, 120, 132, 109, 96)(59, 97, 61, 100, 110, 98)(62, 101, 119, 133, 111, 102)(87, 112, 103, 128, 130, 113)(88, 114, 89, 116, 104, 115)(90, 117, 105, 129, 131, 118)(121, 141, 125, 148, 153, 142)(122, 143, 123, 145, 126, 144)(124, 146, 127, 149, 152, 147)(134, 154, 138, 161, 151, 155)(135, 156, 136, 158, 139, 157)(137, 159, 140, 162, 150, 160)(163, 181, 167, 188, 171, 182)(164, 183, 165, 185, 168, 184)(166, 186, 169, 189, 170, 187)(172, 190, 176, 197, 180, 191)(173, 192, 174, 194, 177, 193)(175, 195, 178, 198, 179, 196)(199, 208, 203, 212, 207, 216)(200, 214, 201, 215, 204, 211)(202, 213, 205, 209, 206, 210)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 35)(19, 37)(20, 38)(23, 45)(24, 46)(25, 49)(28, 54)(29, 55)(31, 58)(32, 59)(33, 61)(34, 62)(36, 64)(39, 70)(40, 60)(41, 72)(42, 75)(43, 76)(44, 79)(47, 83)(48, 84)(50, 87)(51, 88)(52, 89)(53, 90)(56, 77)(57, 94)(63, 78)(65, 74)(66, 86)(67, 103)(68, 104)(69, 105)(71, 92)(73, 85)(80, 109)(81, 110)(82, 111)(91, 106)(93, 119)(95, 121)(96, 122)(97, 123)(98, 124)(99, 120)(100, 125)(101, 126)(102, 127)(107, 130)(108, 131)(112, 134)(113, 135)(114, 136)(115, 137)(116, 138)(117, 139)(118, 140)(128, 150)(129, 151)(132, 152)(133, 153)(141, 163)(142, 164)(143, 165)(144, 166)(145, 167)(146, 168)(147, 169)(148, 170)(149, 171)(154, 172)(155, 173)(156, 174)(157, 175)(158, 176)(159, 177)(160, 178)(161, 179)(162, 180)(181, 199)(182, 200)(183, 201)(184, 202)(185, 203)(186, 204)(187, 205)(188, 206)(189, 207)(190, 208)(191, 209)(192, 210)(193, 211)(194, 212)(195, 213)(196, 214)(197, 215)(198, 216)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.3033
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 36 e = 108 f = 18
	degree seq :: [ 6^36 ]

E28.3037 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 12})
Quotient :: regular
Aut^+ = (C2 x C2 x ((C3 x C3) : C3)) : C2 (small group id <216, 60>)
Aut   = $<432, 324>$ (small group id <432, 324>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, T1^2 * T2 * T1^-1 * T2 * T1^3 * T2 * T1 * T2 * T1, T1^-1 * T2 * T1^-2 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1, T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^2 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 29, 18, 8)(6, 13, 25, 48, 28, 14)(9, 19, 36, 68, 39, 20)(12, 23, 44, 83, 47, 24)(16, 31, 58, 80, 61, 32)(17, 33, 62, 81, 65, 34)(21, 40, 75, 132, 78, 41)(22, 42, 79, 135, 82, 43)(26, 50, 93, 76, 96, 51)(27, 52, 97, 77, 100, 53)(30, 56, 104, 136, 107, 57)(35, 66, 120, 137, 123, 67)(37, 70, 86, 45, 85, 71)(38, 72, 88, 46, 87, 73)(49, 91, 147, 133, 150, 92)(54, 101, 163, 134, 166, 102)(55, 90, 138, 182, 167, 103)(59, 109, 171, 121, 144, 110)(60, 111, 173, 122, 162, 112)(63, 115, 142, 105, 168, 116)(64, 117, 156, 106, 169, 118)(69, 124, 140, 84, 139, 125)(74, 130, 146, 89, 145, 131)(94, 152, 191, 164, 114, 153)(95, 154, 193, 165, 128, 155)(98, 158, 108, 148, 189, 159)(99, 160, 126, 149, 190, 161)(113, 175, 203, 181, 129, 176)(119, 179, 127, 170, 199, 180)(141, 184, 206, 188, 157, 185)(143, 186, 151, 183, 205, 187)(172, 192, 207, 204, 178, 196)(174, 194, 177, 195, 208, 202)(197, 209, 215, 214, 201, 212)(198, 210, 200, 211, 216, 213)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 35)(19, 37)(20, 38)(23, 45)(24, 46)(25, 49)(28, 54)(29, 55)(31, 59)(32, 60)(33, 63)(34, 64)(36, 69)(39, 74)(40, 76)(41, 77)(42, 80)(43, 81)(44, 84)(47, 89)(48, 90)(50, 94)(51, 95)(52, 98)(53, 99)(56, 105)(57, 106)(58, 108)(61, 113)(62, 114)(65, 119)(66, 121)(67, 122)(68, 103)(70, 126)(71, 127)(72, 128)(73, 129)(75, 133)(78, 134)(79, 136)(82, 137)(83, 138)(85, 141)(86, 142)(87, 143)(88, 144)(91, 148)(92, 149)(93, 151)(96, 156)(97, 157)(100, 162)(101, 164)(102, 165)(104, 152)(107, 170)(109, 140)(110, 172)(111, 150)(112, 174)(115, 177)(116, 146)(117, 178)(118, 166)(120, 159)(123, 181)(124, 154)(125, 175)(130, 161)(131, 180)(132, 167)(135, 182)(139, 183)(145, 188)(147, 184)(153, 192)(155, 194)(158, 195)(160, 196)(163, 187)(168, 197)(169, 198)(171, 200)(173, 201)(176, 204)(179, 202)(185, 207)(186, 208)(189, 209)(190, 210)(191, 211)(193, 212)(199, 214)(203, 213)(205, 215)(206, 216)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.3034
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 36 e = 108 f = 18
	degree seq :: [ 6^36 ]

E28.3038 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 12})
Quotient :: edge
Aut^+ = (C4 x ((C3 x C3) : C3)) : C2 (small group id <216, 51>)
Aut   = $<432, 301>$ (small group id <432, 301>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T1 * T2 * T1 * T2^2)^2, T2 * T1 * T2^-2 * T1 * T2^-3 * T1 * T2^-2 * T1, T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 ]
Map:: polytopal
	R = (1, 3, 8, 18, 10, 4)(2, 5, 12, 25, 14, 6)(7, 15, 30, 57, 32, 16)(9, 19, 37, 69, 39, 20)(11, 22, 43, 76, 45, 23)(13, 26, 50, 88, 52, 27)(17, 33, 61, 79, 63, 34)(21, 40, 72, 87, 73, 41)(24, 46, 80, 60, 82, 47)(28, 53, 91, 68, 92, 54)(29, 55, 38, 70, 95, 56)(31, 58, 98, 126, 100, 59)(35, 64, 90, 114, 81, 65)(36, 66, 102, 123, 96, 67)(42, 74, 51, 89, 108, 75)(44, 77, 111, 137, 113, 78)(48, 83, 71, 101, 62, 84)(49, 85, 115, 134, 109, 86)(93, 119, 99, 127, 103, 120)(94, 121, 144, 128, 104, 122)(97, 124, 146, 129, 105, 125)(106, 130, 112, 138, 116, 131)(107, 132, 155, 139, 117, 133)(110, 135, 157, 140, 118, 136)(141, 163, 145, 169, 147, 164)(142, 165, 150, 170, 148, 166)(143, 167, 151, 171, 149, 168)(152, 172, 156, 178, 158, 173)(153, 174, 161, 179, 159, 175)(154, 176, 162, 180, 160, 177)(181, 199, 184, 205, 185, 200)(182, 201, 188, 206, 186, 202)(183, 203, 189, 207, 187, 204)(190, 208, 193, 214, 194, 209)(191, 210, 197, 215, 195, 211)(192, 212, 198, 216, 196, 213)(217, 218)(219, 223)(220, 225)(221, 227)(222, 229)(224, 233)(226, 237)(228, 240)(230, 244)(231, 245)(232, 247)(234, 251)(235, 252)(236, 254)(238, 258)(239, 260)(241, 264)(242, 265)(243, 267)(246, 270)(248, 276)(249, 268)(250, 278)(253, 284)(255, 262)(256, 287)(257, 259)(261, 295)(263, 297)(266, 303)(269, 306)(271, 309)(272, 310)(273, 312)(274, 313)(275, 315)(277, 296)(279, 307)(280, 316)(281, 318)(282, 319)(283, 320)(285, 314)(286, 321)(288, 298)(289, 308)(290, 322)(291, 323)(292, 325)(293, 326)(294, 328)(299, 329)(300, 331)(301, 332)(302, 333)(304, 327)(305, 334)(311, 330)(317, 324)(335, 357)(336, 358)(337, 359)(338, 361)(339, 362)(340, 363)(341, 364)(342, 360)(343, 365)(344, 366)(345, 367)(346, 368)(347, 369)(348, 370)(349, 372)(350, 373)(351, 374)(352, 375)(353, 371)(354, 376)(355, 377)(356, 378)(379, 397)(380, 398)(381, 399)(382, 400)(383, 401)(384, 402)(385, 403)(386, 404)(387, 405)(388, 406)(389, 407)(390, 408)(391, 409)(392, 410)(393, 411)(394, 412)(395, 413)(396, 414)(415, 424)(416, 428)(417, 426)(418, 430)(419, 425)(420, 429)(421, 427)(422, 432)(423, 431)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 24, 24 ), ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E28.3050
Transitivity :: ET+
Graph:: simple bipartite
	v = 144 e = 216 f = 18
	degree seq :: [ 2^108, 6^36 ]

E28.3039 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 12})
Quotient :: edge
Aut^+ = (C2 x (((C3 x C3) : C3) : C2)) : C2 (small group id <216, 37>)
Aut   = $<432, 301>$ (small group id <432, 301>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T1 * T2^-1 * T1 * T2^2)^2, T2^-1 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-3 * T1 * T2^-1, (T2^-1 * T1)^12 ]
Map:: polytopal
	R = (1, 3, 8, 18, 10, 4)(2, 5, 12, 25, 14, 6)(7, 15, 30, 58, 32, 16)(9, 19, 37, 67, 39, 20)(11, 22, 43, 77, 45, 23)(13, 26, 50, 86, 52, 27)(17, 33, 62, 89, 63, 34)(21, 40, 71, 76, 73, 41)(24, 46, 81, 70, 82, 47)(28, 53, 90, 57, 92, 54)(29, 55, 94, 121, 96, 56)(31, 59, 36, 66, 100, 60)(35, 64, 91, 114, 80, 65)(38, 68, 102, 124, 97, 69)(42, 74, 107, 132, 109, 75)(44, 78, 49, 85, 113, 79)(48, 83, 72, 101, 61, 84)(51, 87, 115, 135, 110, 88)(93, 119, 103, 128, 143, 120)(95, 122, 98, 125, 104, 123)(99, 126, 105, 129, 144, 127)(106, 130, 116, 139, 154, 131)(108, 133, 111, 136, 117, 134)(112, 137, 118, 140, 155, 138)(141, 163, 147, 170, 151, 164)(142, 165, 145, 167, 148, 166)(146, 168, 149, 171, 150, 169)(152, 172, 158, 179, 162, 173)(153, 174, 156, 176, 159, 175)(157, 177, 160, 180, 161, 178)(181, 199, 185, 206, 189, 200)(182, 201, 183, 203, 186, 202)(184, 204, 187, 207, 188, 205)(190, 208, 194, 215, 198, 209)(191, 210, 192, 212, 195, 211)(193, 213, 196, 216, 197, 214)(217, 218)(219, 223)(220, 225)(221, 227)(222, 229)(224, 233)(226, 237)(228, 240)(230, 244)(231, 245)(232, 247)(234, 251)(235, 252)(236, 254)(238, 258)(239, 260)(241, 264)(242, 265)(243, 267)(246, 273)(248, 263)(249, 277)(250, 261)(253, 269)(255, 286)(256, 266)(257, 288)(259, 292)(262, 296)(268, 305)(270, 307)(271, 309)(272, 311)(274, 313)(275, 314)(276, 315)(278, 297)(279, 306)(280, 318)(281, 312)(282, 319)(283, 310)(284, 320)(285, 321)(287, 298)(289, 308)(290, 322)(291, 324)(293, 326)(294, 327)(295, 328)(299, 331)(300, 325)(301, 332)(302, 323)(303, 333)(304, 334)(316, 330)(317, 329)(335, 357)(336, 358)(337, 360)(338, 361)(339, 362)(340, 359)(341, 363)(342, 364)(343, 365)(344, 366)(345, 367)(346, 368)(347, 369)(348, 371)(349, 372)(350, 373)(351, 370)(352, 374)(353, 375)(354, 376)(355, 377)(356, 378)(379, 397)(380, 398)(381, 399)(382, 400)(383, 401)(384, 402)(385, 403)(386, 404)(387, 405)(388, 406)(389, 407)(390, 408)(391, 409)(392, 410)(393, 411)(394, 412)(395, 413)(396, 414)(415, 424)(416, 432)(417, 430)(418, 427)(419, 431)(420, 429)(421, 426)(422, 428)(423, 425)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 24, 24 ), ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E28.3051
Transitivity :: ET+
Graph:: simple bipartite
	v = 144 e = 216 f = 18
	degree seq :: [ 2^108, 6^36 ]

E28.3040 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 12})
Quotient :: edge
Aut^+ = (C2 x C2 x ((C3 x C3) : C3)) : C2 (small group id <216, 60>)
Aut   = $<432, 324>$ (small group id <432, 324>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, T2^-3 * T1 * T2 * T1 * T2^-3 * T1 * T2^-1 * T1, T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-2 * T1 * T2^-1, T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^-1 * T1 ]
Map:: polytopal
	R = (1, 3, 8, 18, 10, 4)(2, 5, 12, 25, 14, 6)(7, 15, 30, 58, 32, 16)(9, 19, 37, 71, 39, 20)(11, 22, 43, 82, 45, 23)(13, 26, 50, 95, 52, 27)(17, 33, 63, 118, 65, 34)(21, 40, 76, 133, 78, 41)(24, 46, 87, 150, 89, 47)(28, 53, 100, 165, 102, 54)(29, 55, 104, 75, 106, 56)(31, 59, 110, 77, 112, 60)(35, 66, 122, 181, 123, 67)(36, 68, 116, 62, 115, 69)(38, 72, 120, 64, 119, 73)(42, 79, 136, 99, 138, 80)(44, 83, 142, 101, 144, 84)(48, 90, 154, 196, 155, 91)(49, 92, 148, 86, 147, 93)(51, 96, 152, 88, 151, 97)(57, 107, 170, 132, 141, 108)(61, 113, 175, 134, 161, 114)(70, 126, 135, 117, 178, 127)(74, 130, 157, 121, 180, 131)(81, 139, 185, 164, 109, 140)(85, 145, 190, 166, 129, 146)(94, 158, 103, 149, 193, 159)(98, 162, 125, 153, 195, 163)(105, 168, 199, 176, 128, 169)(111, 173, 124, 171, 201, 174)(137, 183, 207, 191, 160, 184)(143, 188, 156, 186, 209, 189)(167, 197, 213, 204, 179, 198)(172, 202, 177, 200, 214, 203)(182, 205, 215, 212, 194, 206)(187, 210, 192, 208, 216, 211)(217, 218)(219, 223)(220, 225)(221, 227)(222, 229)(224, 233)(226, 237)(228, 240)(230, 244)(231, 245)(232, 247)(234, 251)(235, 252)(236, 254)(238, 258)(239, 260)(241, 264)(242, 265)(243, 267)(246, 273)(248, 277)(249, 278)(250, 280)(253, 286)(255, 290)(256, 291)(257, 293)(259, 297)(261, 301)(262, 302)(263, 304)(266, 310)(268, 314)(269, 315)(270, 317)(271, 319)(272, 321)(274, 306)(275, 325)(276, 327)(279, 333)(281, 337)(282, 298)(283, 311)(284, 340)(285, 341)(287, 307)(288, 344)(289, 345)(292, 348)(294, 350)(295, 351)(296, 353)(299, 357)(300, 359)(303, 365)(305, 369)(308, 372)(309, 373)(312, 376)(313, 377)(316, 380)(318, 382)(320, 383)(322, 368)(323, 355)(324, 387)(326, 388)(328, 360)(329, 375)(330, 392)(331, 393)(332, 364)(334, 370)(335, 395)(336, 354)(338, 366)(339, 381)(342, 384)(343, 361)(346, 390)(347, 379)(349, 371)(352, 398)(356, 402)(358, 403)(362, 407)(363, 408)(367, 410)(374, 399)(378, 405)(385, 404)(386, 416)(389, 400)(391, 420)(394, 413)(396, 419)(397, 412)(401, 424)(406, 428)(409, 421)(411, 427)(414, 425)(415, 426)(417, 422)(418, 423)(429, 432)(430, 431)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 24, 24 ), ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E28.3052
Transitivity :: ET+
Graph:: simple bipartite
	v = 144 e = 216 f = 18
	degree seq :: [ 2^108, 6^36 ]

E28.3041 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 12})
Quotient :: edge
Aut^+ = (C4 x ((C3 x C3) : C3)) : C2 (small group id <216, 51>)
Aut   = $<432, 301>$ (small group id <432, 301>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, (T1^-1 * T2^2)^2, (T1^-1 * T2^2)^2, T1^6, T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-2 * T2 * T1^-1, T2^2 * T1^2 * T2^-3 * T1^-2 * T2, T2^12 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 26, 56, 101, 143, 112, 69, 35, 15, 5)(2, 7, 19, 43, 83, 130, 165, 134, 90, 48, 22, 8)(4, 12, 30, 63, 108, 148, 173, 139, 96, 53, 24, 9)(6, 17, 38, 75, 121, 158, 189, 161, 126, 80, 41, 18)(11, 27, 14, 34, 67, 111, 151, 176, 142, 100, 55, 25)(13, 32, 52, 95, 138, 172, 200, 178, 145, 105, 61, 29)(16, 36, 70, 114, 153, 184, 206, 186, 155, 119, 73, 37)(20, 44, 21, 47, 88, 133, 168, 194, 164, 129, 82, 42)(23, 50, 93, 136, 170, 198, 180, 147, 107, 62, 31, 51)(28, 59, 99, 141, 175, 202, 182, 150, 110, 68, 78, 57)(33, 58, 98, 54, 97, 140, 174, 201, 181, 149, 109, 66)(39, 76, 40, 79, 124, 160, 191, 209, 188, 157, 120, 74)(45, 86, 128, 163, 193, 212, 196, 167, 132, 89, 117, 84)(46, 85, 64, 81, 127, 162, 192, 211, 195, 166, 131, 87)(49, 91, 116, 106, 146, 179, 204, 213, 197, 169, 135, 92)(60, 104, 144, 177, 203, 214, 199, 171, 137, 94, 65, 102)(71, 115, 72, 118, 154, 185, 207, 215, 205, 183, 152, 113)(77, 123, 156, 187, 208, 216, 210, 190, 159, 125, 103, 122)(217, 218, 222, 232, 229, 220)(219, 225, 239, 265, 244, 227)(221, 230, 249, 261, 236, 223)(224, 237, 262, 293, 255, 233)(226, 241, 270, 305, 263, 238)(228, 245, 276, 319, 280, 247)(231, 246, 278, 322, 284, 250)(234, 256, 294, 332, 287, 252)(235, 258, 297, 341, 295, 257)(240, 268, 310, 339, 303, 266)(242, 264, 291, 335, 311, 269)(243, 273, 292, 338, 318, 274)(248, 253, 288, 333, 314, 281)(251, 259, 296, 330, 321, 279)(254, 290, 275, 308, 334, 289)(260, 300, 331, 307, 267, 301)(271, 315, 336, 372, 353, 313)(272, 312, 352, 385, 357, 316)(277, 286, 329, 302, 282, 320)(283, 326, 340, 375, 360, 325)(285, 327, 365, 379, 345, 299)(298, 344, 368, 362, 323, 343)(304, 348, 370, 351, 309, 347)(306, 349, 382, 403, 373, 337)(317, 358, 390, 412, 384, 350)(324, 361, 393, 406, 378, 363)(328, 364, 396, 420, 398, 367)(342, 376, 366, 395, 399, 369)(346, 380, 408, 426, 407, 377)(354, 371, 401, 383, 356, 387)(355, 388, 415, 424, 411, 386)(359, 381, 405, 422, 416, 389)(374, 404, 391, 413, 423, 402)(392, 418, 425, 432, 430, 417)(394, 400, 421, 409, 397, 419)(410, 428, 431, 429, 414, 427)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4^6 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E28.3053
Transitivity :: ET+
Graph:: simple bipartite
	v = 54 e = 216 f = 108
	degree seq :: [ 6^36, 12^18 ]

E28.3042 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 12})
Quotient :: edge
Aut^+ = (C2 x (((C3 x C3) : C3) : C2)) : C2 (small group id <216, 37>)
Aut   = $<432, 301>$ (small group id <432, 301>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T1)^2, (F * T2)^2, T1^6, T1^-1 * T2^2 * T1^-1 * T2 * T1^-2 * T2, T1^-1 * T2^-1 * T1^2 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1, T1^-2 * T2^2 * T1^2 * T2^-1 * T1^-1 * T2 * T1^-1, T2^12 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 26, 63, 120, 163, 132, 82, 38, 15, 5)(2, 7, 19, 46, 99, 147, 184, 154, 110, 54, 22, 8)(4, 12, 31, 71, 126, 166, 192, 157, 114, 59, 24, 9)(6, 17, 41, 88, 138, 176, 204, 179, 142, 95, 44, 18)(11, 28, 43, 93, 140, 131, 171, 193, 158, 116, 61, 25)(13, 33, 74, 117, 159, 191, 213, 197, 164, 123, 69, 30)(14, 35, 77, 128, 168, 196, 162, 121, 149, 106, 75, 36)(16, 39, 83, 133, 172, 200, 214, 201, 173, 136, 86, 40)(20, 48, 85, 60, 115, 153, 188, 207, 180, 144, 97, 45)(21, 51, 105, 150, 185, 210, 183, 148, 124, 70, 32, 52)(23, 56, 111, 155, 189, 211, 199, 167, 127, 78, 84, 57)(27, 50, 104, 134, 101, 81, 130, 170, 194, 160, 118, 62)(29, 53, 108, 151, 186, 209, 182, 146, 100, 79, 122, 66)(34, 76, 91, 65, 113, 156, 190, 212, 198, 165, 125, 72)(37, 80, 129, 169, 195, 161, 119, 64, 89, 135, 103, 73)(42, 90, 68, 96, 143, 178, 206, 215, 202, 174, 137, 87)(47, 92, 67, 112, 58, 109, 152, 187, 208, 181, 145, 98)(49, 94, 141, 177, 205, 216, 203, 175, 139, 107, 55, 102)(217, 218, 222, 232, 229, 220)(219, 225, 239, 271, 245, 227)(221, 230, 250, 265, 236, 223)(224, 237, 266, 307, 258, 233)(226, 241, 276, 302, 281, 243)(228, 246, 284, 338, 289, 248)(231, 253, 295, 299, 294, 251)(234, 259, 308, 350, 300, 255)(235, 261, 312, 285, 317, 263)(238, 269, 323, 290, 322, 267)(240, 274, 305, 257, 303, 272)(242, 278, 333, 355, 304, 280)(244, 282, 306, 292, 252, 283)(247, 286, 309, 260, 310, 288)(249, 256, 301, 351, 328, 291)(254, 297, 339, 357, 311, 296)(262, 314, 287, 341, 349, 316)(264, 318, 273, 320, 268, 319)(270, 325, 275, 329, 352, 324)(277, 321, 365, 327, 353, 331)(279, 335, 367, 389, 371, 337)(293, 343, 359, 313, 356, 340)(298, 347, 360, 388, 381, 346)(315, 362, 393, 380, 344, 364)(326, 369, 390, 375, 334, 368)(330, 366, 332, 354, 391, 372)(336, 378, 406, 419, 404, 370)(342, 361, 345, 358, 394, 383)(348, 382, 415, 421, 398, 387)(363, 399, 386, 414, 422, 395)(373, 407, 418, 402, 377, 401)(374, 403, 376, 405, 417, 392)(379, 400, 420, 430, 429, 408)(384, 413, 416, 396, 385, 397)(409, 425, 431, 428, 412, 424)(410, 426, 411, 423, 432, 427)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4^6 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E28.3054
Transitivity :: ET+
Graph:: simple bipartite
	v = 54 e = 216 f = 108
	degree seq :: [ 6^36, 12^18 ]

E28.3043 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 12})
Quotient :: edge
Aut^+ = (C2 x C2 x ((C3 x C3) : C3)) : C2 (small group id <216, 60>)
Aut   = $<432, 324>$ (small group id <432, 324>)
|r| :: 2
Presentation :: [ F^2, (T1 * T2)^2, (F * T2)^2, (F * T1)^2, T1^6, T1^6, T2^2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2, T1^-1 * T2^-2 * T1^3 * T2^2 * T1^-2, T1^2 * T2^-1 * T1 * T2 * T1^-2 * T2 * T1^-1 * T2^-1, T2^-1 * T1^-1 * T2^3 * T1^-1 * T2^-1 * T1 * T2^-1 * T1, T2 * T1^-1 * T2^-2 * T1 * T2^-2 * T1^-1 * T2 * T1^-1, T2 * T1^-2 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1 * T2^-2 * T1^-1, T1 * T2^-1 * T1^2 * T2^-1 * T1 * T2^-1 * T1^2 * T2^-1 * T1^2, T2^2 * T1^-1 * T2^3 * T1^-2 * T2^3 * T1^-1, T2^12 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 26, 63, 139, 181, 100, 90, 38, 15, 5)(2, 7, 19, 46, 108, 77, 152, 171, 126, 54, 22, 8)(4, 12, 31, 74, 150, 170, 117, 50, 116, 59, 24, 9)(6, 17, 41, 96, 67, 29, 70, 151, 188, 104, 44, 18)(11, 28, 68, 147, 184, 102, 43, 101, 182, 136, 61, 25)(13, 33, 78, 158, 178, 99, 81, 34, 80, 154, 72, 30)(14, 35, 82, 161, 196, 111, 79, 140, 203, 163, 85, 36)(16, 39, 91, 168, 112, 49, 115, 55, 127, 173, 94, 40)(20, 48, 113, 198, 148, 172, 93, 86, 164, 191, 106, 45)(21, 51, 118, 202, 155, 73, 32, 76, 145, 204, 121, 52)(23, 56, 128, 209, 143, 66, 92, 169, 162, 210, 130, 57)(27, 65, 144, 207, 167, 89, 129, 201, 119, 192, 138, 62)(37, 87, 165, 175, 97, 177, 114, 64, 141, 187, 120, 88)(42, 98, 179, 215, 199, 153, 71, 122, 205, 213, 174, 95)(47, 110, 69, 149, 208, 125, 84, 132, 58, 131, 193, 107)(53, 123, 206, 135, 60, 134, 180, 109, 194, 142, 183, 124)(75, 157, 197, 166, 211, 133, 200, 160, 83, 137, 212, 156)(103, 185, 216, 190, 105, 189, 146, 176, 214, 195, 159, 186)(217, 218, 222, 232, 229, 220)(219, 225, 239, 271, 245, 227)(221, 230, 250, 265, 236, 223)(224, 237, 266, 315, 258, 233)(226, 241, 276, 307, 282, 243)(228, 246, 287, 367, 293, 248)(231, 253, 302, 310, 299, 251)(234, 259, 316, 386, 308, 255)(235, 261, 321, 294, 327, 263)(238, 269, 338, 288, 335, 267)(240, 274, 317, 260, 319, 272)(242, 278, 353, 389, 358, 280)(244, 283, 362, 385, 366, 285)(247, 289, 313, 257, 311, 291)(249, 256, 309, 387, 355, 295)(252, 300, 342, 388, 375, 296)(254, 305, 382, 384, 351, 303)(262, 323, 408, 370, 411, 325)(264, 328, 413, 356, 279, 330)(268, 336, 404, 369, 416, 332)(270, 341, 423, 374, 406, 339)(273, 345, 306, 318, 399, 343)(275, 349, 392, 312, 391, 347)(277, 334, 417, 346, 395, 350)(281, 359, 421, 340, 400, 361)(284, 326, 412, 344, 402, 364)(286, 331, 297, 333, 397, 368)(290, 372, 401, 320, 403, 365)(292, 324, 396, 314, 394, 360)(298, 376, 415, 329, 393, 371)(301, 378, 405, 322, 398, 348)(304, 337, 419, 373, 390, 380)(352, 407, 429, 425, 377, 418)(354, 409, 381, 422, 432, 428)(357, 410, 430, 427, 383, 424)(363, 414, 431, 426, 379, 420)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4^6 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E28.3055
Transitivity :: ET+
Graph:: simple bipartite
	v = 54 e = 216 f = 108
	degree seq :: [ 6^36, 12^18 ]

E28.3044 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 12})
Quotient :: edge
Aut^+ = (C4 x ((C3 x C3) : C3)) : C2 (small group id <216, 51>)
Aut   = $<432, 301>$ (small group id <432, 301>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2 * T1^-1)^2, (T2 * T1^-1)^6, T1^12, T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1, (T2 * T1 * T2 * T1 * T2 * T1^-2)^2 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 39)(20, 40)(22, 31)(23, 44)(25, 46)(26, 47)(27, 49)(30, 54)(33, 59)(34, 60)(35, 63)(36, 64)(38, 67)(41, 73)(42, 66)(43, 76)(45, 78)(48, 84)(50, 88)(51, 89)(52, 92)(53, 93)(55, 96)(56, 97)(57, 98)(58, 100)(61, 105)(62, 106)(65, 111)(68, 115)(69, 116)(70, 118)(71, 101)(72, 120)(74, 119)(75, 122)(77, 124)(79, 127)(80, 129)(81, 130)(82, 132)(83, 133)(85, 135)(86, 136)(87, 138)(90, 142)(91, 143)(94, 148)(95, 149)(99, 153)(102, 155)(103, 137)(104, 157)(107, 159)(108, 128)(109, 161)(110, 145)(112, 163)(113, 140)(114, 158)(117, 165)(121, 167)(123, 169)(125, 171)(126, 173)(131, 176)(134, 180)(139, 182)(141, 184)(144, 185)(146, 187)(147, 178)(150, 189)(151, 190)(152, 192)(154, 194)(156, 195)(160, 197)(162, 198)(164, 199)(166, 200)(168, 191)(170, 201)(172, 202)(174, 204)(175, 205)(177, 206)(179, 203)(181, 209)(183, 210)(186, 211)(188, 212)(193, 214)(196, 213)(207, 215)(208, 216)(217, 218, 221, 227, 239, 259, 291, 290, 258, 238, 226, 220)(219, 223, 231, 247, 271, 311, 338, 295, 261, 240, 234, 224)(222, 229, 243, 237, 257, 288, 335, 341, 293, 260, 246, 230)(225, 235, 254, 282, 328, 339, 292, 264, 242, 228, 241, 236)(232, 249, 274, 253, 281, 326, 343, 390, 366, 312, 277, 250)(233, 251, 278, 294, 342, 388, 365, 315, 273, 248, 272, 252)(244, 266, 303, 270, 310, 363, 387, 384, 337, 289, 306, 267)(245, 268, 307, 340, 386, 382, 336, 353, 302, 265, 301, 269)(255, 284, 297, 262, 296, 344, 300, 350, 395, 379, 333, 285)(256, 286, 299, 263, 298, 347, 385, 380, 330, 283, 329, 287)(275, 317, 370, 321, 374, 412, 420, 392, 378, 327, 349, 318)(276, 319, 372, 405, 417, 402, 361, 308, 360, 316, 351, 320)(279, 323, 346, 313, 367, 332, 369, 409, 419, 389, 376, 324)(280, 325, 358, 314, 368, 407, 418, 404, 364, 322, 355, 304)(305, 356, 399, 383, 415, 423, 394, 348, 393, 354, 334, 357)(309, 362, 331, 352, 397, 381, 416, 424, 396, 359, 391, 345)(371, 398, 421, 414, 428, 432, 429, 408, 425, 410, 377, 403)(373, 400, 375, 401, 422, 413, 427, 431, 430, 411, 426, 406)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 12, 12 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E28.3047
Transitivity :: ET+
Graph:: simple bipartite
	v = 126 e = 216 f = 36
	degree seq :: [ 2^108, 12^18 ]

E28.3045 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 12})
Quotient :: edge
Aut^+ = (C2 x (((C3 x C3) : C3) : C2)) : C2 (small group id <216, 37>)
Aut   = $<432, 301>$ (small group id <432, 301>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1^-3 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-2, (T2 * T1^-1)^6, T1^12, T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-2, T2 * T1^2 * T2 * T1^-1 * T2 * T1^-4 * T2 * T1^-1, (T2 * T1 * T2 * T1 * T2 * T1^-1)^2, (T1^-5 * T2 * T1^-1)^2 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 48)(25, 52)(26, 53)(27, 56)(30, 61)(31, 64)(33, 68)(34, 69)(35, 72)(36, 73)(38, 77)(39, 80)(42, 85)(43, 88)(44, 89)(46, 93)(47, 96)(49, 100)(50, 101)(51, 104)(54, 109)(55, 112)(57, 116)(58, 117)(59, 120)(60, 121)(62, 125)(63, 128)(65, 131)(66, 111)(67, 133)(70, 136)(71, 97)(74, 103)(75, 142)(76, 99)(78, 123)(79, 146)(81, 140)(82, 135)(83, 139)(84, 134)(86, 115)(87, 132)(90, 113)(91, 151)(92, 118)(94, 153)(95, 154)(98, 158)(102, 164)(105, 167)(106, 168)(107, 170)(108, 171)(110, 173)(114, 166)(119, 155)(122, 160)(124, 157)(126, 172)(127, 181)(129, 183)(130, 184)(137, 189)(138, 191)(141, 187)(143, 192)(144, 169)(145, 186)(147, 175)(148, 190)(149, 188)(150, 182)(152, 185)(156, 196)(159, 198)(161, 199)(162, 201)(163, 202)(165, 204)(174, 203)(176, 207)(177, 208)(178, 209)(179, 210)(180, 200)(193, 213)(194, 211)(195, 212)(197, 214)(205, 215)(206, 216)(217, 218, 221, 227, 239, 263, 311, 310, 262, 238, 226, 220)(219, 223, 231, 247, 279, 343, 370, 360, 294, 254, 234, 224)(222, 229, 243, 271, 327, 391, 369, 396, 342, 278, 246, 230)(225, 235, 255, 295, 361, 372, 312, 371, 358, 302, 258, 236)(228, 241, 267, 319, 382, 352, 309, 368, 390, 326, 270, 242)(232, 249, 283, 324, 269, 323, 385, 421, 406, 353, 286, 250)(233, 251, 287, 354, 389, 422, 397, 365, 304, 357, 290, 252)(237, 259, 303, 364, 375, 314, 264, 313, 373, 349, 306, 260)(240, 265, 315, 376, 347, 308, 261, 307, 366, 381, 318, 266)(244, 273, 331, 379, 317, 378, 416, 409, 362, 393, 334, 274)(245, 275, 335, 394, 420, 410, 363, 298, 256, 297, 338, 276)(248, 281, 320, 301, 340, 277, 339, 380, 419, 402, 348, 282)(253, 291, 325, 388, 414, 398, 344, 296, 330, 272, 329, 292)(257, 299, 316, 377, 341, 395, 412, 411, 367, 392, 328, 300)(268, 321, 293, 359, 374, 413, 401, 346, 280, 345, 305, 322)(284, 350, 403, 424, 400, 427, 431, 426, 407, 418, 383, 337)(285, 351, 404, 428, 430, 417, 386, 336, 288, 355, 384, 333)(289, 356, 399, 423, 405, 429, 432, 425, 408, 415, 387, 332)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 12, 12 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E28.3048
Transitivity :: ET+
Graph:: simple bipartite
	v = 126 e = 216 f = 36
	degree seq :: [ 2^108, 12^18 ]

E28.3046 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 12})
Quotient :: edge
Aut^+ = (C2 x C2 x ((C3 x C3) : C3)) : C2 (small group id <216, 60>)
Aut   = $<432, 324>$ (small group id <432, 324>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1^3 * T2 * T1^-2 * T2 * T1 * T2 * T1^-2, (T2 * T1^-1)^6, T1^-3 * T2 * T1 * T2 * T1^2 * T2 * T1 * T2 * T1^-1, T1^12, (T2 * T1^-6)^2, T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-2 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 48)(25, 52)(26, 53)(27, 56)(30, 61)(31, 64)(33, 68)(34, 69)(35, 72)(36, 73)(38, 77)(39, 80)(42, 85)(43, 88)(44, 89)(46, 93)(47, 96)(49, 100)(50, 101)(51, 104)(54, 109)(55, 112)(57, 116)(58, 117)(59, 120)(60, 121)(62, 125)(63, 113)(65, 129)(66, 102)(67, 98)(70, 110)(71, 136)(74, 140)(75, 142)(76, 126)(78, 146)(79, 119)(81, 148)(82, 149)(83, 150)(84, 131)(86, 152)(87, 123)(90, 143)(91, 122)(92, 156)(94, 159)(95, 160)(97, 164)(99, 167)(103, 173)(105, 176)(106, 177)(107, 178)(108, 179)(111, 174)(114, 165)(115, 162)(118, 171)(124, 180)(127, 175)(128, 193)(130, 194)(132, 195)(133, 196)(134, 183)(135, 198)(137, 199)(138, 182)(139, 168)(141, 187)(144, 197)(145, 185)(147, 204)(151, 192)(153, 201)(154, 184)(155, 200)(157, 203)(158, 202)(161, 205)(163, 206)(166, 208)(169, 211)(170, 212)(172, 209)(181, 210)(186, 214)(188, 213)(189, 207)(190, 216)(191, 215)(217, 218, 221, 227, 239, 263, 311, 310, 262, 238, 226, 220)(219, 223, 231, 247, 279, 343, 376, 363, 294, 254, 234, 224)(222, 229, 243, 271, 327, 397, 375, 408, 342, 278, 246, 230)(225, 235, 255, 295, 345, 378, 312, 377, 369, 302, 258, 236)(228, 241, 267, 319, 388, 374, 309, 356, 396, 326, 270, 242)(232, 249, 283, 346, 389, 429, 420, 370, 305, 351, 286, 250)(233, 251, 287, 322, 268, 321, 391, 430, 416, 357, 290, 252)(237, 259, 303, 352, 381, 314, 264, 313, 379, 371, 306, 260)(240, 265, 315, 382, 373, 308, 261, 307, 358, 387, 318, 266)(244, 273, 331, 399, 424, 415, 367, 300, 257, 299, 334, 274)(245, 275, 335, 385, 316, 384, 426, 412, 368, 406, 338, 276)(248, 281, 320, 390, 422, 419, 362, 301, 340, 277, 339, 282)(253, 291, 325, 296, 330, 272, 329, 383, 425, 417, 359, 292)(256, 297, 317, 386, 328, 398, 421, 411, 372, 407, 341, 298)(269, 323, 280, 344, 380, 423, 418, 361, 293, 360, 304, 324)(284, 347, 392, 337, 405, 364, 400, 332, 289, 355, 395, 348)(285, 349, 393, 431, 409, 366, 404, 336, 403, 428, 413, 350)(288, 353, 394, 432, 410, 365, 402, 333, 401, 427, 414, 354)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 12, 12 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E28.3049
Transitivity :: ET+
Graph:: simple bipartite
	v = 126 e = 216 f = 36
	degree seq :: [ 2^108, 12^18 ]

E28.3047 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 12})
Quotient :: loop
Aut^+ = (C4 x ((C3 x C3) : C3)) : C2 (small group id <216, 51>)
Aut   = $<432, 301>$ (small group id <432, 301>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T1 * T2 * T1 * T2^2)^2, T2 * T1 * T2^-2 * T1 * T2^-3 * T1 * T2^-2 * T1, T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 ]
Map::
	R = (1, 217, 3, 219, 8, 224, 18, 234, 10, 226, 4, 220)(2, 218, 5, 221, 12, 228, 25, 241, 14, 230, 6, 222)(7, 223, 15, 231, 30, 246, 57, 273, 32, 248, 16, 232)(9, 225, 19, 235, 37, 253, 69, 285, 39, 255, 20, 236)(11, 227, 22, 238, 43, 259, 76, 292, 45, 261, 23, 239)(13, 229, 26, 242, 50, 266, 88, 304, 52, 268, 27, 243)(17, 233, 33, 249, 61, 277, 79, 295, 63, 279, 34, 250)(21, 237, 40, 256, 72, 288, 87, 303, 73, 289, 41, 257)(24, 240, 46, 262, 80, 296, 60, 276, 82, 298, 47, 263)(28, 244, 53, 269, 91, 307, 68, 284, 92, 308, 54, 270)(29, 245, 55, 271, 38, 254, 70, 286, 95, 311, 56, 272)(31, 247, 58, 274, 98, 314, 126, 342, 100, 316, 59, 275)(35, 251, 64, 280, 90, 306, 114, 330, 81, 297, 65, 281)(36, 252, 66, 282, 102, 318, 123, 339, 96, 312, 67, 283)(42, 258, 74, 290, 51, 267, 89, 305, 108, 324, 75, 291)(44, 260, 77, 293, 111, 327, 137, 353, 113, 329, 78, 294)(48, 264, 83, 299, 71, 287, 101, 317, 62, 278, 84, 300)(49, 265, 85, 301, 115, 331, 134, 350, 109, 325, 86, 302)(93, 309, 119, 335, 99, 315, 127, 343, 103, 319, 120, 336)(94, 310, 121, 337, 144, 360, 128, 344, 104, 320, 122, 338)(97, 313, 124, 340, 146, 362, 129, 345, 105, 321, 125, 341)(106, 322, 130, 346, 112, 328, 138, 354, 116, 332, 131, 347)(107, 323, 132, 348, 155, 371, 139, 355, 117, 333, 133, 349)(110, 326, 135, 351, 157, 373, 140, 356, 118, 334, 136, 352)(141, 357, 163, 379, 145, 361, 169, 385, 147, 363, 164, 380)(142, 358, 165, 381, 150, 366, 170, 386, 148, 364, 166, 382)(143, 359, 167, 383, 151, 367, 171, 387, 149, 365, 168, 384)(152, 368, 172, 388, 156, 372, 178, 394, 158, 374, 173, 389)(153, 369, 174, 390, 161, 377, 179, 395, 159, 375, 175, 391)(154, 370, 176, 392, 162, 378, 180, 396, 160, 376, 177, 393)(181, 397, 199, 415, 184, 400, 205, 421, 185, 401, 200, 416)(182, 398, 201, 417, 188, 404, 206, 422, 186, 402, 202, 418)(183, 399, 203, 419, 189, 405, 207, 423, 187, 403, 204, 420)(190, 406, 208, 424, 193, 409, 214, 430, 194, 410, 209, 425)(191, 407, 210, 426, 197, 413, 215, 431, 195, 411, 211, 427)(192, 408, 212, 428, 198, 414, 216, 432, 196, 412, 213, 429)
	L = (1, 218)(2, 217)(3, 223)(4, 225)(5, 227)(6, 229)(7, 219)(8, 233)(9, 220)(10, 237)(11, 221)(12, 240)(13, 222)(14, 244)(15, 245)(16, 247)(17, 224)(18, 251)(19, 252)(20, 254)(21, 226)(22, 258)(23, 260)(24, 228)(25, 264)(26, 265)(27, 267)(28, 230)(29, 231)(30, 270)(31, 232)(32, 276)(33, 268)(34, 278)(35, 234)(36, 235)(37, 284)(38, 236)(39, 262)(40, 287)(41, 259)(42, 238)(43, 257)(44, 239)(45, 295)(46, 255)(47, 297)(48, 241)(49, 242)(50, 303)(51, 243)(52, 249)(53, 306)(54, 246)(55, 309)(56, 310)(57, 312)(58, 313)(59, 315)(60, 248)(61, 296)(62, 250)(63, 307)(64, 316)(65, 318)(66, 319)(67, 320)(68, 253)(69, 314)(70, 321)(71, 256)(72, 298)(73, 308)(74, 322)(75, 323)(76, 325)(77, 326)(78, 328)(79, 261)(80, 277)(81, 263)(82, 288)(83, 329)(84, 331)(85, 332)(86, 333)(87, 266)(88, 327)(89, 334)(90, 269)(91, 279)(92, 289)(93, 271)(94, 272)(95, 330)(96, 273)(97, 274)(98, 285)(99, 275)(100, 280)(101, 324)(102, 281)(103, 282)(104, 283)(105, 286)(106, 290)(107, 291)(108, 317)(109, 292)(110, 293)(111, 304)(112, 294)(113, 299)(114, 311)(115, 300)(116, 301)(117, 302)(118, 305)(119, 357)(120, 358)(121, 359)(122, 361)(123, 362)(124, 363)(125, 364)(126, 360)(127, 365)(128, 366)(129, 367)(130, 368)(131, 369)(132, 370)(133, 372)(134, 373)(135, 374)(136, 375)(137, 371)(138, 376)(139, 377)(140, 378)(141, 335)(142, 336)(143, 337)(144, 342)(145, 338)(146, 339)(147, 340)(148, 341)(149, 343)(150, 344)(151, 345)(152, 346)(153, 347)(154, 348)(155, 353)(156, 349)(157, 350)(158, 351)(159, 352)(160, 354)(161, 355)(162, 356)(163, 397)(164, 398)(165, 399)(166, 400)(167, 401)(168, 402)(169, 403)(170, 404)(171, 405)(172, 406)(173, 407)(174, 408)(175, 409)(176, 410)(177, 411)(178, 412)(179, 413)(180, 414)(181, 379)(182, 380)(183, 381)(184, 382)(185, 383)(186, 384)(187, 385)(188, 386)(189, 387)(190, 388)(191, 389)(192, 390)(193, 391)(194, 392)(195, 393)(196, 394)(197, 395)(198, 396)(199, 424)(200, 428)(201, 426)(202, 430)(203, 425)(204, 429)(205, 427)(206, 432)(207, 431)(208, 415)(209, 419)(210, 417)(211, 421)(212, 416)(213, 420)(214, 418)(215, 423)(216, 422)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3044
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 36 e = 216 f = 126
	degree seq :: [ 12^36 ]

E28.3048 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 12})
Quotient :: loop
Aut^+ = (C2 x (((C3 x C3) : C3) : C2)) : C2 (small group id <216, 37>)
Aut   = $<432, 301>$ (small group id <432, 301>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T1 * T2^-1 * T1 * T2^2)^2, T2^-1 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-3 * T1 * T2^-1, (T2^-1 * T1)^12 ]
Map::
	R = (1, 217, 3, 219, 8, 224, 18, 234, 10, 226, 4, 220)(2, 218, 5, 221, 12, 228, 25, 241, 14, 230, 6, 222)(7, 223, 15, 231, 30, 246, 58, 274, 32, 248, 16, 232)(9, 225, 19, 235, 37, 253, 67, 283, 39, 255, 20, 236)(11, 227, 22, 238, 43, 259, 77, 293, 45, 261, 23, 239)(13, 229, 26, 242, 50, 266, 86, 302, 52, 268, 27, 243)(17, 233, 33, 249, 62, 278, 89, 305, 63, 279, 34, 250)(21, 237, 40, 256, 71, 287, 76, 292, 73, 289, 41, 257)(24, 240, 46, 262, 81, 297, 70, 286, 82, 298, 47, 263)(28, 244, 53, 269, 90, 306, 57, 273, 92, 308, 54, 270)(29, 245, 55, 271, 94, 310, 121, 337, 96, 312, 56, 272)(31, 247, 59, 275, 36, 252, 66, 282, 100, 316, 60, 276)(35, 251, 64, 280, 91, 307, 114, 330, 80, 296, 65, 281)(38, 254, 68, 284, 102, 318, 124, 340, 97, 313, 69, 285)(42, 258, 74, 290, 107, 323, 132, 348, 109, 325, 75, 291)(44, 260, 78, 294, 49, 265, 85, 301, 113, 329, 79, 295)(48, 264, 83, 299, 72, 288, 101, 317, 61, 277, 84, 300)(51, 267, 87, 303, 115, 331, 135, 351, 110, 326, 88, 304)(93, 309, 119, 335, 103, 319, 128, 344, 143, 359, 120, 336)(95, 311, 122, 338, 98, 314, 125, 341, 104, 320, 123, 339)(99, 315, 126, 342, 105, 321, 129, 345, 144, 360, 127, 343)(106, 322, 130, 346, 116, 332, 139, 355, 154, 370, 131, 347)(108, 324, 133, 349, 111, 327, 136, 352, 117, 333, 134, 350)(112, 328, 137, 353, 118, 334, 140, 356, 155, 371, 138, 354)(141, 357, 163, 379, 147, 363, 170, 386, 151, 367, 164, 380)(142, 358, 165, 381, 145, 361, 167, 383, 148, 364, 166, 382)(146, 362, 168, 384, 149, 365, 171, 387, 150, 366, 169, 385)(152, 368, 172, 388, 158, 374, 179, 395, 162, 378, 173, 389)(153, 369, 174, 390, 156, 372, 176, 392, 159, 375, 175, 391)(157, 373, 177, 393, 160, 376, 180, 396, 161, 377, 178, 394)(181, 397, 199, 415, 185, 401, 206, 422, 189, 405, 200, 416)(182, 398, 201, 417, 183, 399, 203, 419, 186, 402, 202, 418)(184, 400, 204, 420, 187, 403, 207, 423, 188, 404, 205, 421)(190, 406, 208, 424, 194, 410, 215, 431, 198, 414, 209, 425)(191, 407, 210, 426, 192, 408, 212, 428, 195, 411, 211, 427)(193, 409, 213, 429, 196, 412, 216, 432, 197, 413, 214, 430)
	L = (1, 218)(2, 217)(3, 223)(4, 225)(5, 227)(6, 229)(7, 219)(8, 233)(9, 220)(10, 237)(11, 221)(12, 240)(13, 222)(14, 244)(15, 245)(16, 247)(17, 224)(18, 251)(19, 252)(20, 254)(21, 226)(22, 258)(23, 260)(24, 228)(25, 264)(26, 265)(27, 267)(28, 230)(29, 231)(30, 273)(31, 232)(32, 263)(33, 277)(34, 261)(35, 234)(36, 235)(37, 269)(38, 236)(39, 286)(40, 266)(41, 288)(42, 238)(43, 292)(44, 239)(45, 250)(46, 296)(47, 248)(48, 241)(49, 242)(50, 256)(51, 243)(52, 305)(53, 253)(54, 307)(55, 309)(56, 311)(57, 246)(58, 313)(59, 314)(60, 315)(61, 249)(62, 297)(63, 306)(64, 318)(65, 312)(66, 319)(67, 310)(68, 320)(69, 321)(70, 255)(71, 298)(72, 257)(73, 308)(74, 322)(75, 324)(76, 259)(77, 326)(78, 327)(79, 328)(80, 262)(81, 278)(82, 287)(83, 331)(84, 325)(85, 332)(86, 323)(87, 333)(88, 334)(89, 268)(90, 279)(91, 270)(92, 289)(93, 271)(94, 283)(95, 272)(96, 281)(97, 274)(98, 275)(99, 276)(100, 330)(101, 329)(102, 280)(103, 282)(104, 284)(105, 285)(106, 290)(107, 302)(108, 291)(109, 300)(110, 293)(111, 294)(112, 295)(113, 317)(114, 316)(115, 299)(116, 301)(117, 303)(118, 304)(119, 357)(120, 358)(121, 360)(122, 361)(123, 362)(124, 359)(125, 363)(126, 364)(127, 365)(128, 366)(129, 367)(130, 368)(131, 369)(132, 371)(133, 372)(134, 373)(135, 370)(136, 374)(137, 375)(138, 376)(139, 377)(140, 378)(141, 335)(142, 336)(143, 340)(144, 337)(145, 338)(146, 339)(147, 341)(148, 342)(149, 343)(150, 344)(151, 345)(152, 346)(153, 347)(154, 351)(155, 348)(156, 349)(157, 350)(158, 352)(159, 353)(160, 354)(161, 355)(162, 356)(163, 397)(164, 398)(165, 399)(166, 400)(167, 401)(168, 402)(169, 403)(170, 404)(171, 405)(172, 406)(173, 407)(174, 408)(175, 409)(176, 410)(177, 411)(178, 412)(179, 413)(180, 414)(181, 379)(182, 380)(183, 381)(184, 382)(185, 383)(186, 384)(187, 385)(188, 386)(189, 387)(190, 388)(191, 389)(192, 390)(193, 391)(194, 392)(195, 393)(196, 394)(197, 395)(198, 396)(199, 424)(200, 432)(201, 430)(202, 427)(203, 431)(204, 429)(205, 426)(206, 428)(207, 425)(208, 415)(209, 423)(210, 421)(211, 418)(212, 422)(213, 420)(214, 417)(215, 419)(216, 416)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3045
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 36 e = 216 f = 126
	degree seq :: [ 12^36 ]

E28.3049 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 12})
Quotient :: loop
Aut^+ = (C2 x C2 x ((C3 x C3) : C3)) : C2 (small group id <216, 60>)
Aut   = $<432, 324>$ (small group id <432, 324>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, T2^-3 * T1 * T2 * T1 * T2^-3 * T1 * T2^-1 * T1, T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-2 * T1 * T2^-1, T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^-1 * T1 ]
Map::
	R = (1, 217, 3, 219, 8, 224, 18, 234, 10, 226, 4, 220)(2, 218, 5, 221, 12, 228, 25, 241, 14, 230, 6, 222)(7, 223, 15, 231, 30, 246, 58, 274, 32, 248, 16, 232)(9, 225, 19, 235, 37, 253, 71, 287, 39, 255, 20, 236)(11, 227, 22, 238, 43, 259, 82, 298, 45, 261, 23, 239)(13, 229, 26, 242, 50, 266, 95, 311, 52, 268, 27, 243)(17, 233, 33, 249, 63, 279, 118, 334, 65, 281, 34, 250)(21, 237, 40, 256, 76, 292, 133, 349, 78, 294, 41, 257)(24, 240, 46, 262, 87, 303, 150, 366, 89, 305, 47, 263)(28, 244, 53, 269, 100, 316, 165, 381, 102, 318, 54, 270)(29, 245, 55, 271, 104, 320, 75, 291, 106, 322, 56, 272)(31, 247, 59, 275, 110, 326, 77, 293, 112, 328, 60, 276)(35, 251, 66, 282, 122, 338, 181, 397, 123, 339, 67, 283)(36, 252, 68, 284, 116, 332, 62, 278, 115, 331, 69, 285)(38, 254, 72, 288, 120, 336, 64, 280, 119, 335, 73, 289)(42, 258, 79, 295, 136, 352, 99, 315, 138, 354, 80, 296)(44, 260, 83, 299, 142, 358, 101, 317, 144, 360, 84, 300)(48, 264, 90, 306, 154, 370, 196, 412, 155, 371, 91, 307)(49, 265, 92, 308, 148, 364, 86, 302, 147, 363, 93, 309)(51, 267, 96, 312, 152, 368, 88, 304, 151, 367, 97, 313)(57, 273, 107, 323, 170, 386, 132, 348, 141, 357, 108, 324)(61, 277, 113, 329, 175, 391, 134, 350, 161, 377, 114, 330)(70, 286, 126, 342, 135, 351, 117, 333, 178, 394, 127, 343)(74, 290, 130, 346, 157, 373, 121, 337, 180, 396, 131, 347)(81, 297, 139, 355, 185, 401, 164, 380, 109, 325, 140, 356)(85, 301, 145, 361, 190, 406, 166, 382, 129, 345, 146, 362)(94, 310, 158, 374, 103, 319, 149, 365, 193, 409, 159, 375)(98, 314, 162, 378, 125, 341, 153, 369, 195, 411, 163, 379)(105, 321, 168, 384, 199, 415, 176, 392, 128, 344, 169, 385)(111, 327, 173, 389, 124, 340, 171, 387, 201, 417, 174, 390)(137, 353, 183, 399, 207, 423, 191, 407, 160, 376, 184, 400)(143, 359, 188, 404, 156, 372, 186, 402, 209, 425, 189, 405)(167, 383, 197, 413, 213, 429, 204, 420, 179, 395, 198, 414)(172, 388, 202, 418, 177, 393, 200, 416, 214, 430, 203, 419)(182, 398, 205, 421, 215, 431, 212, 428, 194, 410, 206, 422)(187, 403, 210, 426, 192, 408, 208, 424, 216, 432, 211, 427)
	L = (1, 218)(2, 217)(3, 223)(4, 225)(5, 227)(6, 229)(7, 219)(8, 233)(9, 220)(10, 237)(11, 221)(12, 240)(13, 222)(14, 244)(15, 245)(16, 247)(17, 224)(18, 251)(19, 252)(20, 254)(21, 226)(22, 258)(23, 260)(24, 228)(25, 264)(26, 265)(27, 267)(28, 230)(29, 231)(30, 273)(31, 232)(32, 277)(33, 278)(34, 280)(35, 234)(36, 235)(37, 286)(38, 236)(39, 290)(40, 291)(41, 293)(42, 238)(43, 297)(44, 239)(45, 301)(46, 302)(47, 304)(48, 241)(49, 242)(50, 310)(51, 243)(52, 314)(53, 315)(54, 317)(55, 319)(56, 321)(57, 246)(58, 306)(59, 325)(60, 327)(61, 248)(62, 249)(63, 333)(64, 250)(65, 337)(66, 298)(67, 311)(68, 340)(69, 341)(70, 253)(71, 307)(72, 344)(73, 345)(74, 255)(75, 256)(76, 348)(77, 257)(78, 350)(79, 351)(80, 353)(81, 259)(82, 282)(83, 357)(84, 359)(85, 261)(86, 262)(87, 365)(88, 263)(89, 369)(90, 274)(91, 287)(92, 372)(93, 373)(94, 266)(95, 283)(96, 376)(97, 377)(98, 268)(99, 269)(100, 380)(101, 270)(102, 382)(103, 271)(104, 383)(105, 272)(106, 368)(107, 355)(108, 387)(109, 275)(110, 388)(111, 276)(112, 360)(113, 375)(114, 392)(115, 393)(116, 364)(117, 279)(118, 370)(119, 395)(120, 354)(121, 281)(122, 366)(123, 381)(124, 284)(125, 285)(126, 384)(127, 361)(128, 288)(129, 289)(130, 390)(131, 379)(132, 292)(133, 371)(134, 294)(135, 295)(136, 398)(137, 296)(138, 336)(139, 323)(140, 402)(141, 299)(142, 403)(143, 300)(144, 328)(145, 343)(146, 407)(147, 408)(148, 332)(149, 303)(150, 338)(151, 410)(152, 322)(153, 305)(154, 334)(155, 349)(156, 308)(157, 309)(158, 399)(159, 329)(160, 312)(161, 313)(162, 405)(163, 347)(164, 316)(165, 339)(166, 318)(167, 320)(168, 342)(169, 404)(170, 416)(171, 324)(172, 326)(173, 400)(174, 346)(175, 420)(176, 330)(177, 331)(178, 413)(179, 335)(180, 419)(181, 412)(182, 352)(183, 374)(184, 389)(185, 424)(186, 356)(187, 358)(188, 385)(189, 378)(190, 428)(191, 362)(192, 363)(193, 421)(194, 367)(195, 427)(196, 397)(197, 394)(198, 425)(199, 426)(200, 386)(201, 422)(202, 423)(203, 396)(204, 391)(205, 409)(206, 417)(207, 418)(208, 401)(209, 414)(210, 415)(211, 411)(212, 406)(213, 432)(214, 431)(215, 430)(216, 429)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3046
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 36 e = 216 f = 126
	degree seq :: [ 12^36 ]

E28.3050 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 12})
Quotient :: loop
Aut^+ = (C4 x ((C3 x C3) : C3)) : C2 (small group id <216, 51>)
Aut   = $<432, 301>$ (small group id <432, 301>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, (T1^-1 * T2^2)^2, (T1^-1 * T2^2)^2, T1^6, T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-2 * T2 * T1^-1, T2^2 * T1^2 * T2^-3 * T1^-2 * T2, T2^12 ]
Map::
	R = (1, 217, 3, 219, 10, 226, 26, 242, 56, 272, 101, 317, 143, 359, 112, 328, 69, 285, 35, 251, 15, 231, 5, 221)(2, 218, 7, 223, 19, 235, 43, 259, 83, 299, 130, 346, 165, 381, 134, 350, 90, 306, 48, 264, 22, 238, 8, 224)(4, 220, 12, 228, 30, 246, 63, 279, 108, 324, 148, 364, 173, 389, 139, 355, 96, 312, 53, 269, 24, 240, 9, 225)(6, 222, 17, 233, 38, 254, 75, 291, 121, 337, 158, 374, 189, 405, 161, 377, 126, 342, 80, 296, 41, 257, 18, 234)(11, 227, 27, 243, 14, 230, 34, 250, 67, 283, 111, 327, 151, 367, 176, 392, 142, 358, 100, 316, 55, 271, 25, 241)(13, 229, 32, 248, 52, 268, 95, 311, 138, 354, 172, 388, 200, 416, 178, 394, 145, 361, 105, 321, 61, 277, 29, 245)(16, 232, 36, 252, 70, 286, 114, 330, 153, 369, 184, 400, 206, 422, 186, 402, 155, 371, 119, 335, 73, 289, 37, 253)(20, 236, 44, 260, 21, 237, 47, 263, 88, 304, 133, 349, 168, 384, 194, 410, 164, 380, 129, 345, 82, 298, 42, 258)(23, 239, 50, 266, 93, 309, 136, 352, 170, 386, 198, 414, 180, 396, 147, 363, 107, 323, 62, 278, 31, 247, 51, 267)(28, 244, 59, 275, 99, 315, 141, 357, 175, 391, 202, 418, 182, 398, 150, 366, 110, 326, 68, 284, 78, 294, 57, 273)(33, 249, 58, 274, 98, 314, 54, 270, 97, 313, 140, 356, 174, 390, 201, 417, 181, 397, 149, 365, 109, 325, 66, 282)(39, 255, 76, 292, 40, 256, 79, 295, 124, 340, 160, 376, 191, 407, 209, 425, 188, 404, 157, 373, 120, 336, 74, 290)(45, 261, 86, 302, 128, 344, 163, 379, 193, 409, 212, 428, 196, 412, 167, 383, 132, 348, 89, 305, 117, 333, 84, 300)(46, 262, 85, 301, 64, 280, 81, 297, 127, 343, 162, 378, 192, 408, 211, 427, 195, 411, 166, 382, 131, 347, 87, 303)(49, 265, 91, 307, 116, 332, 106, 322, 146, 362, 179, 395, 204, 420, 213, 429, 197, 413, 169, 385, 135, 351, 92, 308)(60, 276, 104, 320, 144, 360, 177, 393, 203, 419, 214, 430, 199, 415, 171, 387, 137, 353, 94, 310, 65, 281, 102, 318)(71, 287, 115, 331, 72, 288, 118, 334, 154, 370, 185, 401, 207, 423, 215, 431, 205, 421, 183, 399, 152, 368, 113, 329)(77, 293, 123, 339, 156, 372, 187, 403, 208, 424, 216, 432, 210, 426, 190, 406, 159, 375, 125, 341, 103, 319, 122, 338)
	L = (1, 218)(2, 222)(3, 225)(4, 217)(5, 230)(6, 232)(7, 221)(8, 237)(9, 239)(10, 241)(11, 219)(12, 245)(13, 220)(14, 249)(15, 246)(16, 229)(17, 224)(18, 256)(19, 258)(20, 223)(21, 262)(22, 226)(23, 265)(24, 268)(25, 270)(26, 264)(27, 273)(28, 227)(29, 276)(30, 278)(31, 228)(32, 253)(33, 261)(34, 231)(35, 259)(36, 234)(37, 288)(38, 290)(39, 233)(40, 294)(41, 235)(42, 297)(43, 296)(44, 300)(45, 236)(46, 293)(47, 238)(48, 291)(49, 244)(50, 240)(51, 301)(52, 310)(53, 242)(54, 305)(55, 315)(56, 312)(57, 292)(58, 243)(59, 308)(60, 319)(61, 286)(62, 322)(63, 251)(64, 247)(65, 248)(66, 320)(67, 326)(68, 250)(69, 327)(70, 329)(71, 252)(72, 333)(73, 254)(74, 275)(75, 335)(76, 338)(77, 255)(78, 332)(79, 257)(80, 330)(81, 341)(82, 344)(83, 285)(84, 331)(85, 260)(86, 282)(87, 266)(88, 348)(89, 263)(90, 349)(91, 267)(92, 334)(93, 347)(94, 339)(95, 269)(96, 352)(97, 271)(98, 281)(99, 336)(100, 272)(101, 358)(102, 274)(103, 280)(104, 277)(105, 279)(106, 284)(107, 343)(108, 361)(109, 283)(110, 340)(111, 365)(112, 364)(113, 302)(114, 321)(115, 307)(116, 287)(117, 314)(118, 289)(119, 311)(120, 372)(121, 306)(122, 318)(123, 303)(124, 375)(125, 295)(126, 376)(127, 298)(128, 368)(129, 299)(130, 380)(131, 304)(132, 370)(133, 382)(134, 317)(135, 309)(136, 385)(137, 313)(138, 371)(139, 388)(140, 387)(141, 316)(142, 390)(143, 381)(144, 325)(145, 393)(146, 323)(147, 324)(148, 396)(149, 379)(150, 395)(151, 328)(152, 362)(153, 342)(154, 351)(155, 401)(156, 353)(157, 337)(158, 404)(159, 360)(160, 366)(161, 346)(162, 363)(163, 345)(164, 408)(165, 405)(166, 403)(167, 356)(168, 350)(169, 357)(170, 355)(171, 354)(172, 415)(173, 359)(174, 412)(175, 413)(176, 418)(177, 406)(178, 400)(179, 399)(180, 420)(181, 419)(182, 367)(183, 369)(184, 421)(185, 383)(186, 374)(187, 373)(188, 391)(189, 422)(190, 378)(191, 377)(192, 426)(193, 397)(194, 428)(195, 386)(196, 384)(197, 423)(198, 427)(199, 424)(200, 389)(201, 392)(202, 425)(203, 394)(204, 398)(205, 409)(206, 416)(207, 402)(208, 411)(209, 432)(210, 407)(211, 410)(212, 431)(213, 414)(214, 417)(215, 429)(216, 430)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.3038
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 18 e = 216 f = 144
	degree seq :: [ 24^18 ]

E28.3051 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 12})
Quotient :: loop
Aut^+ = (C2 x (((C3 x C3) : C3) : C2)) : C2 (small group id <216, 37>)
Aut   = $<432, 301>$ (small group id <432, 301>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T1)^2, (F * T2)^2, T1^6, T1^-1 * T2^2 * T1^-1 * T2 * T1^-2 * T2, T1^-1 * T2^-1 * T1^2 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1, T1^-2 * T2^2 * T1^2 * T2^-1 * T1^-1 * T2 * T1^-1, T2^12 ]
Map::
	R = (1, 217, 3, 219, 10, 226, 26, 242, 63, 279, 120, 336, 163, 379, 132, 348, 82, 298, 38, 254, 15, 231, 5, 221)(2, 218, 7, 223, 19, 235, 46, 262, 99, 315, 147, 363, 184, 400, 154, 370, 110, 326, 54, 270, 22, 238, 8, 224)(4, 220, 12, 228, 31, 247, 71, 287, 126, 342, 166, 382, 192, 408, 157, 373, 114, 330, 59, 275, 24, 240, 9, 225)(6, 222, 17, 233, 41, 257, 88, 304, 138, 354, 176, 392, 204, 420, 179, 395, 142, 358, 95, 311, 44, 260, 18, 234)(11, 227, 28, 244, 43, 259, 93, 309, 140, 356, 131, 347, 171, 387, 193, 409, 158, 374, 116, 332, 61, 277, 25, 241)(13, 229, 33, 249, 74, 290, 117, 333, 159, 375, 191, 407, 213, 429, 197, 413, 164, 380, 123, 339, 69, 285, 30, 246)(14, 230, 35, 251, 77, 293, 128, 344, 168, 384, 196, 412, 162, 378, 121, 337, 149, 365, 106, 322, 75, 291, 36, 252)(16, 232, 39, 255, 83, 299, 133, 349, 172, 388, 200, 416, 214, 430, 201, 417, 173, 389, 136, 352, 86, 302, 40, 256)(20, 236, 48, 264, 85, 301, 60, 276, 115, 331, 153, 369, 188, 404, 207, 423, 180, 396, 144, 360, 97, 313, 45, 261)(21, 237, 51, 267, 105, 321, 150, 366, 185, 401, 210, 426, 183, 399, 148, 364, 124, 340, 70, 286, 32, 248, 52, 268)(23, 239, 56, 272, 111, 327, 155, 371, 189, 405, 211, 427, 199, 415, 167, 383, 127, 343, 78, 294, 84, 300, 57, 273)(27, 243, 50, 266, 104, 320, 134, 350, 101, 317, 81, 297, 130, 346, 170, 386, 194, 410, 160, 376, 118, 334, 62, 278)(29, 245, 53, 269, 108, 324, 151, 367, 186, 402, 209, 425, 182, 398, 146, 362, 100, 316, 79, 295, 122, 338, 66, 282)(34, 250, 76, 292, 91, 307, 65, 281, 113, 329, 156, 372, 190, 406, 212, 428, 198, 414, 165, 381, 125, 341, 72, 288)(37, 253, 80, 296, 129, 345, 169, 385, 195, 411, 161, 377, 119, 335, 64, 280, 89, 305, 135, 351, 103, 319, 73, 289)(42, 258, 90, 306, 68, 284, 96, 312, 143, 359, 178, 394, 206, 422, 215, 431, 202, 418, 174, 390, 137, 353, 87, 303)(47, 263, 92, 308, 67, 283, 112, 328, 58, 274, 109, 325, 152, 368, 187, 403, 208, 424, 181, 397, 145, 361, 98, 314)(49, 265, 94, 310, 141, 357, 177, 393, 205, 421, 216, 432, 203, 419, 175, 391, 139, 355, 107, 323, 55, 271, 102, 318)
	L = (1, 218)(2, 222)(3, 225)(4, 217)(5, 230)(6, 232)(7, 221)(8, 237)(9, 239)(10, 241)(11, 219)(12, 246)(13, 220)(14, 250)(15, 253)(16, 229)(17, 224)(18, 259)(19, 261)(20, 223)(21, 266)(22, 269)(23, 271)(24, 274)(25, 276)(26, 278)(27, 226)(28, 282)(29, 227)(30, 284)(31, 286)(32, 228)(33, 256)(34, 265)(35, 231)(36, 283)(37, 295)(38, 297)(39, 234)(40, 301)(41, 303)(42, 233)(43, 308)(44, 310)(45, 312)(46, 314)(47, 235)(48, 318)(49, 236)(50, 307)(51, 238)(52, 319)(53, 323)(54, 325)(55, 245)(56, 240)(57, 320)(58, 305)(59, 329)(60, 302)(61, 321)(62, 333)(63, 335)(64, 242)(65, 243)(66, 306)(67, 244)(68, 338)(69, 317)(70, 309)(71, 341)(72, 247)(73, 248)(74, 322)(75, 249)(76, 252)(77, 343)(78, 251)(79, 299)(80, 254)(81, 339)(82, 347)(83, 294)(84, 255)(85, 351)(86, 281)(87, 272)(88, 280)(89, 257)(90, 292)(91, 258)(92, 350)(93, 260)(94, 288)(95, 296)(96, 285)(97, 356)(98, 287)(99, 362)(100, 262)(101, 263)(102, 273)(103, 264)(104, 268)(105, 365)(106, 267)(107, 290)(108, 270)(109, 275)(110, 369)(111, 353)(112, 291)(113, 352)(114, 366)(115, 277)(116, 354)(117, 355)(118, 368)(119, 367)(120, 378)(121, 279)(122, 289)(123, 357)(124, 293)(125, 349)(126, 361)(127, 359)(128, 364)(129, 358)(130, 298)(131, 360)(132, 382)(133, 316)(134, 300)(135, 328)(136, 324)(137, 331)(138, 391)(139, 304)(140, 340)(141, 311)(142, 394)(143, 313)(144, 388)(145, 345)(146, 393)(147, 399)(148, 315)(149, 327)(150, 332)(151, 389)(152, 326)(153, 390)(154, 336)(155, 337)(156, 330)(157, 407)(158, 403)(159, 334)(160, 405)(161, 401)(162, 406)(163, 400)(164, 344)(165, 346)(166, 415)(167, 342)(168, 413)(169, 397)(170, 414)(171, 348)(172, 381)(173, 371)(174, 375)(175, 372)(176, 374)(177, 380)(178, 383)(179, 363)(180, 385)(181, 384)(182, 387)(183, 386)(184, 420)(185, 373)(186, 377)(187, 376)(188, 370)(189, 417)(190, 419)(191, 418)(192, 379)(193, 425)(194, 426)(195, 423)(196, 424)(197, 416)(198, 422)(199, 421)(200, 396)(201, 392)(202, 402)(203, 404)(204, 430)(205, 398)(206, 395)(207, 432)(208, 409)(209, 431)(210, 411)(211, 410)(212, 412)(213, 408)(214, 429)(215, 428)(216, 427)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.3039
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 18 e = 216 f = 144
	degree seq :: [ 24^18 ]

E28.3052 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 12})
Quotient :: loop
Aut^+ = (C2 x C2 x ((C3 x C3) : C3)) : C2 (small group id <216, 60>)
Aut   = $<432, 324>$ (small group id <432, 324>)
|r| :: 2
Presentation :: [ F^2, (T1 * T2)^2, (F * T2)^2, (F * T1)^2, T1^6, T1^6, T2^2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2, T1^-1 * T2^-2 * T1^3 * T2^2 * T1^-2, T1^2 * T2^-1 * T1 * T2 * T1^-2 * T2 * T1^-1 * T2^-1, T2^-1 * T1^-1 * T2^3 * T1^-1 * T2^-1 * T1 * T2^-1 * T1, T2 * T1^-1 * T2^-2 * T1 * T2^-2 * T1^-1 * T2 * T1^-1, T2 * T1^-2 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1 * T2^-2 * T1^-1, T1 * T2^-1 * T1^2 * T2^-1 * T1 * T2^-1 * T1^2 * T2^-1 * T1^2, T2^2 * T1^-1 * T2^3 * T1^-2 * T2^3 * T1^-1, T2^12 ]
Map::
	R = (1, 217, 3, 219, 10, 226, 26, 242, 63, 279, 139, 355, 181, 397, 100, 316, 90, 306, 38, 254, 15, 231, 5, 221)(2, 218, 7, 223, 19, 235, 46, 262, 108, 324, 77, 293, 152, 368, 171, 387, 126, 342, 54, 270, 22, 238, 8, 224)(4, 220, 12, 228, 31, 247, 74, 290, 150, 366, 170, 386, 117, 333, 50, 266, 116, 332, 59, 275, 24, 240, 9, 225)(6, 222, 17, 233, 41, 257, 96, 312, 67, 283, 29, 245, 70, 286, 151, 367, 188, 404, 104, 320, 44, 260, 18, 234)(11, 227, 28, 244, 68, 284, 147, 363, 184, 400, 102, 318, 43, 259, 101, 317, 182, 398, 136, 352, 61, 277, 25, 241)(13, 229, 33, 249, 78, 294, 158, 374, 178, 394, 99, 315, 81, 297, 34, 250, 80, 296, 154, 370, 72, 288, 30, 246)(14, 230, 35, 251, 82, 298, 161, 377, 196, 412, 111, 327, 79, 295, 140, 356, 203, 419, 163, 379, 85, 301, 36, 252)(16, 232, 39, 255, 91, 307, 168, 384, 112, 328, 49, 265, 115, 331, 55, 271, 127, 343, 173, 389, 94, 310, 40, 256)(20, 236, 48, 264, 113, 329, 198, 414, 148, 364, 172, 388, 93, 309, 86, 302, 164, 380, 191, 407, 106, 322, 45, 261)(21, 237, 51, 267, 118, 334, 202, 418, 155, 371, 73, 289, 32, 248, 76, 292, 145, 361, 204, 420, 121, 337, 52, 268)(23, 239, 56, 272, 128, 344, 209, 425, 143, 359, 66, 282, 92, 308, 169, 385, 162, 378, 210, 426, 130, 346, 57, 273)(27, 243, 65, 281, 144, 360, 207, 423, 167, 383, 89, 305, 129, 345, 201, 417, 119, 335, 192, 408, 138, 354, 62, 278)(37, 253, 87, 303, 165, 381, 175, 391, 97, 313, 177, 393, 114, 330, 64, 280, 141, 357, 187, 403, 120, 336, 88, 304)(42, 258, 98, 314, 179, 395, 215, 431, 199, 415, 153, 369, 71, 287, 122, 338, 205, 421, 213, 429, 174, 390, 95, 311)(47, 263, 110, 326, 69, 285, 149, 365, 208, 424, 125, 341, 84, 300, 132, 348, 58, 274, 131, 347, 193, 409, 107, 323)(53, 269, 123, 339, 206, 422, 135, 351, 60, 276, 134, 350, 180, 396, 109, 325, 194, 410, 142, 358, 183, 399, 124, 340)(75, 291, 157, 373, 197, 413, 166, 382, 211, 427, 133, 349, 200, 416, 160, 376, 83, 299, 137, 353, 212, 428, 156, 372)(103, 319, 185, 401, 216, 432, 190, 406, 105, 321, 189, 405, 146, 362, 176, 392, 214, 430, 195, 411, 159, 375, 186, 402)
	L = (1, 218)(2, 222)(3, 225)(4, 217)(5, 230)(6, 232)(7, 221)(8, 237)(9, 239)(10, 241)(11, 219)(12, 246)(13, 220)(14, 250)(15, 253)(16, 229)(17, 224)(18, 259)(19, 261)(20, 223)(21, 266)(22, 269)(23, 271)(24, 274)(25, 276)(26, 278)(27, 226)(28, 283)(29, 227)(30, 287)(31, 289)(32, 228)(33, 256)(34, 265)(35, 231)(36, 300)(37, 302)(38, 305)(39, 234)(40, 309)(41, 311)(42, 233)(43, 316)(44, 319)(45, 321)(46, 323)(47, 235)(48, 328)(49, 236)(50, 315)(51, 238)(52, 336)(53, 338)(54, 341)(55, 245)(56, 240)(57, 345)(58, 317)(59, 349)(60, 307)(61, 334)(62, 353)(63, 330)(64, 242)(65, 359)(66, 243)(67, 362)(68, 326)(69, 244)(70, 331)(71, 367)(72, 335)(73, 313)(74, 372)(75, 247)(76, 324)(77, 248)(78, 327)(79, 249)(80, 252)(81, 333)(82, 376)(83, 251)(84, 342)(85, 378)(86, 310)(87, 254)(88, 337)(89, 382)(90, 318)(91, 282)(92, 255)(93, 387)(94, 299)(95, 291)(96, 391)(97, 257)(98, 394)(99, 258)(100, 386)(101, 260)(102, 399)(103, 272)(104, 403)(105, 294)(106, 398)(107, 408)(108, 396)(109, 262)(110, 412)(111, 263)(112, 413)(113, 393)(114, 264)(115, 297)(116, 268)(117, 397)(118, 417)(119, 267)(120, 404)(121, 419)(122, 288)(123, 270)(124, 400)(125, 423)(126, 388)(127, 273)(128, 402)(129, 306)(130, 395)(131, 275)(132, 301)(133, 392)(134, 277)(135, 303)(136, 407)(137, 389)(138, 409)(139, 295)(140, 279)(141, 410)(142, 280)(143, 421)(144, 292)(145, 281)(146, 385)(147, 414)(148, 284)(149, 290)(150, 285)(151, 293)(152, 286)(153, 416)(154, 411)(155, 298)(156, 401)(157, 390)(158, 406)(159, 296)(160, 415)(161, 418)(162, 405)(163, 420)(164, 304)(165, 422)(166, 384)(167, 424)(168, 351)(169, 366)(170, 308)(171, 355)(172, 375)(173, 358)(174, 380)(175, 347)(176, 312)(177, 371)(178, 360)(179, 350)(180, 314)(181, 368)(182, 348)(183, 343)(184, 361)(185, 320)(186, 364)(187, 365)(188, 369)(189, 322)(190, 339)(191, 429)(192, 370)(193, 381)(194, 430)(195, 325)(196, 344)(197, 356)(198, 431)(199, 329)(200, 332)(201, 346)(202, 352)(203, 373)(204, 363)(205, 340)(206, 432)(207, 374)(208, 357)(209, 377)(210, 379)(211, 383)(212, 354)(213, 425)(214, 427)(215, 426)(216, 428)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.3040
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 18 e = 216 f = 144
	degree seq :: [ 24^18 ]

E28.3053 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 12})
Quotient :: loop
Aut^+ = (C4 x ((C3 x C3) : C3)) : C2 (small group id <216, 51>)
Aut   = $<432, 301>$ (small group id <432, 301>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2 * T1^-1)^2, (T2 * T1^-1)^6, T1^12, T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1, (T2 * T1 * T2 * T1 * T2 * T1^-2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 217, 3, 219)(2, 218, 6, 222)(4, 220, 9, 225)(5, 221, 12, 228)(7, 223, 16, 232)(8, 224, 17, 233)(10, 226, 21, 237)(11, 227, 24, 240)(13, 229, 28, 244)(14, 230, 29, 245)(15, 231, 32, 248)(18, 234, 37, 253)(19, 235, 39, 255)(20, 236, 40, 256)(22, 238, 31, 247)(23, 239, 44, 260)(25, 241, 46, 262)(26, 242, 47, 263)(27, 243, 49, 265)(30, 246, 54, 270)(33, 249, 59, 275)(34, 250, 60, 276)(35, 251, 63, 279)(36, 252, 64, 280)(38, 254, 67, 283)(41, 257, 73, 289)(42, 258, 66, 282)(43, 259, 76, 292)(45, 261, 78, 294)(48, 264, 84, 300)(50, 266, 88, 304)(51, 267, 89, 305)(52, 268, 92, 308)(53, 269, 93, 309)(55, 271, 96, 312)(56, 272, 97, 313)(57, 273, 98, 314)(58, 274, 100, 316)(61, 277, 105, 321)(62, 278, 106, 322)(65, 281, 111, 327)(68, 284, 115, 331)(69, 285, 116, 332)(70, 286, 118, 334)(71, 287, 101, 317)(72, 288, 120, 336)(74, 290, 119, 335)(75, 291, 122, 338)(77, 293, 124, 340)(79, 295, 127, 343)(80, 296, 129, 345)(81, 297, 130, 346)(82, 298, 132, 348)(83, 299, 133, 349)(85, 301, 135, 351)(86, 302, 136, 352)(87, 303, 138, 354)(90, 306, 142, 358)(91, 307, 143, 359)(94, 310, 148, 364)(95, 311, 149, 365)(99, 315, 153, 369)(102, 318, 155, 371)(103, 319, 137, 353)(104, 320, 157, 373)(107, 323, 159, 375)(108, 324, 128, 344)(109, 325, 161, 377)(110, 326, 145, 361)(112, 328, 163, 379)(113, 329, 140, 356)(114, 330, 158, 374)(117, 333, 165, 381)(121, 337, 167, 383)(123, 339, 169, 385)(125, 341, 171, 387)(126, 342, 173, 389)(131, 347, 176, 392)(134, 350, 180, 396)(139, 355, 182, 398)(141, 357, 184, 400)(144, 360, 185, 401)(146, 362, 187, 403)(147, 363, 178, 394)(150, 366, 189, 405)(151, 367, 190, 406)(152, 368, 192, 408)(154, 370, 194, 410)(156, 372, 195, 411)(160, 376, 197, 413)(162, 378, 198, 414)(164, 380, 199, 415)(166, 382, 200, 416)(168, 384, 191, 407)(170, 386, 201, 417)(172, 388, 202, 418)(174, 390, 204, 420)(175, 391, 205, 421)(177, 393, 206, 422)(179, 395, 203, 419)(181, 397, 209, 425)(183, 399, 210, 426)(186, 402, 211, 427)(188, 404, 212, 428)(193, 409, 214, 430)(196, 412, 213, 429)(207, 423, 215, 431)(208, 424, 216, 432)
	L = (1, 218)(2, 221)(3, 223)(4, 217)(5, 227)(6, 229)(7, 231)(8, 219)(9, 235)(10, 220)(11, 239)(12, 241)(13, 243)(14, 222)(15, 247)(16, 249)(17, 251)(18, 224)(19, 254)(20, 225)(21, 257)(22, 226)(23, 259)(24, 234)(25, 236)(26, 228)(27, 237)(28, 266)(29, 268)(30, 230)(31, 271)(32, 272)(33, 274)(34, 232)(35, 278)(36, 233)(37, 281)(38, 282)(39, 284)(40, 286)(41, 288)(42, 238)(43, 291)(44, 246)(45, 240)(46, 296)(47, 298)(48, 242)(49, 301)(50, 303)(51, 244)(52, 307)(53, 245)(54, 310)(55, 311)(56, 252)(57, 248)(58, 253)(59, 317)(60, 319)(61, 250)(62, 294)(63, 323)(64, 325)(65, 326)(66, 328)(67, 329)(68, 297)(69, 255)(70, 299)(71, 256)(72, 335)(73, 306)(74, 258)(75, 290)(76, 264)(77, 260)(78, 342)(79, 261)(80, 344)(81, 262)(82, 347)(83, 263)(84, 350)(85, 269)(86, 265)(87, 270)(88, 280)(89, 356)(90, 267)(91, 340)(92, 360)(93, 362)(94, 363)(95, 338)(96, 277)(97, 367)(98, 368)(99, 273)(100, 351)(101, 370)(102, 275)(103, 372)(104, 276)(105, 374)(106, 355)(107, 346)(108, 279)(109, 358)(110, 343)(111, 349)(112, 339)(113, 287)(114, 283)(115, 352)(116, 369)(117, 285)(118, 357)(119, 341)(120, 353)(121, 289)(122, 295)(123, 292)(124, 386)(125, 293)(126, 388)(127, 390)(128, 300)(129, 309)(130, 313)(131, 385)(132, 393)(133, 318)(134, 395)(135, 320)(136, 397)(137, 302)(138, 334)(139, 304)(140, 399)(141, 305)(142, 314)(143, 391)(144, 316)(145, 308)(146, 331)(147, 387)(148, 322)(149, 315)(150, 312)(151, 332)(152, 407)(153, 409)(154, 321)(155, 398)(156, 405)(157, 400)(158, 412)(159, 401)(160, 324)(161, 403)(162, 327)(163, 333)(164, 330)(165, 416)(166, 336)(167, 415)(168, 337)(169, 380)(170, 382)(171, 384)(172, 365)(173, 376)(174, 366)(175, 345)(176, 378)(177, 354)(178, 348)(179, 379)(180, 359)(181, 381)(182, 421)(183, 383)(184, 375)(185, 422)(186, 361)(187, 371)(188, 364)(189, 417)(190, 373)(191, 418)(192, 425)(193, 419)(194, 377)(195, 426)(196, 420)(197, 427)(198, 428)(199, 423)(200, 424)(201, 402)(202, 404)(203, 389)(204, 392)(205, 414)(206, 413)(207, 394)(208, 396)(209, 410)(210, 406)(211, 431)(212, 432)(213, 408)(214, 411)(215, 430)(216, 429)
	local type(s) :: { ( 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3041
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 108 e = 216 f = 54
	degree seq :: [ 4^108 ]

E28.3054 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 12})
Quotient :: loop
Aut^+ = (C2 x (((C3 x C3) : C3) : C2)) : C2 (small group id <216, 37>)
Aut   = $<432, 301>$ (small group id <432, 301>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1^-3 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-2, (T2 * T1^-1)^6, T1^12, T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-2, T2 * T1^2 * T2 * T1^-1 * T2 * T1^-4 * T2 * T1^-1, (T2 * T1 * T2 * T1 * T2 * T1^-1)^2, (T1^-5 * T2 * T1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 217, 3, 219)(2, 218, 6, 222)(4, 220, 9, 225)(5, 221, 12, 228)(7, 223, 16, 232)(8, 224, 17, 233)(10, 226, 21, 237)(11, 227, 24, 240)(13, 229, 28, 244)(14, 230, 29, 245)(15, 231, 32, 248)(18, 234, 37, 253)(19, 235, 40, 256)(20, 236, 41, 257)(22, 238, 45, 261)(23, 239, 48, 264)(25, 241, 52, 268)(26, 242, 53, 269)(27, 243, 56, 272)(30, 246, 61, 277)(31, 247, 64, 280)(33, 249, 68, 284)(34, 250, 69, 285)(35, 251, 72, 288)(36, 252, 73, 289)(38, 254, 77, 293)(39, 255, 80, 296)(42, 258, 85, 301)(43, 259, 88, 304)(44, 260, 89, 305)(46, 262, 93, 309)(47, 263, 96, 312)(49, 265, 100, 316)(50, 266, 101, 317)(51, 267, 104, 320)(54, 270, 109, 325)(55, 271, 112, 328)(57, 273, 116, 332)(58, 274, 117, 333)(59, 275, 120, 336)(60, 276, 121, 337)(62, 278, 125, 341)(63, 279, 128, 344)(65, 281, 131, 347)(66, 282, 111, 327)(67, 283, 133, 349)(70, 286, 136, 352)(71, 287, 97, 313)(74, 290, 103, 319)(75, 291, 142, 358)(76, 292, 99, 315)(78, 294, 123, 339)(79, 295, 146, 362)(81, 297, 140, 356)(82, 298, 135, 351)(83, 299, 139, 355)(84, 300, 134, 350)(86, 302, 115, 331)(87, 303, 132, 348)(90, 306, 113, 329)(91, 307, 151, 367)(92, 308, 118, 334)(94, 310, 153, 369)(95, 311, 154, 370)(98, 314, 158, 374)(102, 318, 164, 380)(105, 321, 167, 383)(106, 322, 168, 384)(107, 323, 170, 386)(108, 324, 171, 387)(110, 326, 173, 389)(114, 330, 166, 382)(119, 335, 155, 371)(122, 338, 160, 376)(124, 340, 157, 373)(126, 342, 172, 388)(127, 343, 181, 397)(129, 345, 183, 399)(130, 346, 184, 400)(137, 353, 189, 405)(138, 354, 191, 407)(141, 357, 187, 403)(143, 359, 192, 408)(144, 360, 169, 385)(145, 361, 186, 402)(147, 363, 175, 391)(148, 364, 190, 406)(149, 365, 188, 404)(150, 366, 182, 398)(152, 368, 185, 401)(156, 372, 196, 412)(159, 375, 198, 414)(161, 377, 199, 415)(162, 378, 201, 417)(163, 379, 202, 418)(165, 381, 204, 420)(174, 390, 203, 419)(176, 392, 207, 423)(177, 393, 208, 424)(178, 394, 209, 425)(179, 395, 210, 426)(180, 396, 200, 416)(193, 409, 213, 429)(194, 410, 211, 427)(195, 411, 212, 428)(197, 413, 214, 430)(205, 421, 215, 431)(206, 422, 216, 432)
	L = (1, 218)(2, 221)(3, 223)(4, 217)(5, 227)(6, 229)(7, 231)(8, 219)(9, 235)(10, 220)(11, 239)(12, 241)(13, 243)(14, 222)(15, 247)(16, 249)(17, 251)(18, 224)(19, 255)(20, 225)(21, 259)(22, 226)(23, 263)(24, 265)(25, 267)(26, 228)(27, 271)(28, 273)(29, 275)(30, 230)(31, 279)(32, 281)(33, 283)(34, 232)(35, 287)(36, 233)(37, 291)(38, 234)(39, 295)(40, 297)(41, 299)(42, 236)(43, 303)(44, 237)(45, 307)(46, 238)(47, 311)(48, 313)(49, 315)(50, 240)(51, 319)(52, 321)(53, 323)(54, 242)(55, 327)(56, 329)(57, 331)(58, 244)(59, 335)(60, 245)(61, 339)(62, 246)(63, 343)(64, 345)(65, 320)(66, 248)(67, 324)(68, 350)(69, 351)(70, 250)(71, 354)(72, 355)(73, 356)(74, 252)(75, 325)(76, 253)(77, 359)(78, 254)(79, 361)(80, 330)(81, 338)(82, 256)(83, 316)(84, 257)(85, 340)(86, 258)(87, 364)(88, 357)(89, 322)(90, 260)(91, 366)(92, 261)(93, 368)(94, 262)(95, 310)(96, 371)(97, 373)(98, 264)(99, 376)(100, 377)(101, 378)(102, 266)(103, 382)(104, 301)(105, 293)(106, 268)(107, 385)(108, 269)(109, 388)(110, 270)(111, 391)(112, 300)(113, 292)(114, 272)(115, 379)(116, 289)(117, 285)(118, 274)(119, 394)(120, 288)(121, 284)(122, 276)(123, 380)(124, 277)(125, 395)(126, 278)(127, 370)(128, 296)(129, 305)(130, 280)(131, 308)(132, 282)(133, 306)(134, 403)(135, 404)(136, 309)(137, 286)(138, 389)(139, 384)(140, 399)(141, 290)(142, 302)(143, 374)(144, 294)(145, 372)(146, 393)(147, 298)(148, 375)(149, 304)(150, 381)(151, 392)(152, 390)(153, 396)(154, 360)(155, 358)(156, 312)(157, 349)(158, 413)(159, 314)(160, 347)(161, 341)(162, 416)(163, 317)(164, 419)(165, 318)(166, 352)(167, 337)(168, 333)(169, 421)(170, 336)(171, 332)(172, 414)(173, 422)(174, 326)(175, 369)(176, 328)(177, 334)(178, 420)(179, 412)(180, 342)(181, 365)(182, 344)(183, 423)(184, 427)(185, 346)(186, 348)(187, 424)(188, 428)(189, 429)(190, 353)(191, 418)(192, 415)(193, 362)(194, 363)(195, 367)(196, 411)(197, 401)(198, 398)(199, 387)(200, 409)(201, 386)(202, 383)(203, 402)(204, 410)(205, 406)(206, 397)(207, 405)(208, 400)(209, 408)(210, 407)(211, 431)(212, 430)(213, 432)(214, 417)(215, 426)(216, 425)
	local type(s) :: { ( 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3042
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 108 e = 216 f = 54
	degree seq :: [ 4^108 ]

E28.3055 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 12})
Quotient :: loop
Aut^+ = (C2 x C2 x ((C3 x C3) : C3)) : C2 (small group id <216, 60>)
Aut   = $<432, 324>$ (small group id <432, 324>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1^3 * T2 * T1^-2 * T2 * T1 * T2 * T1^-2, (T2 * T1^-1)^6, T1^-3 * T2 * T1 * T2 * T1^2 * T2 * T1 * T2 * T1^-1, T1^12, (T2 * T1^-6)^2, T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 217, 3, 219)(2, 218, 6, 222)(4, 220, 9, 225)(5, 221, 12, 228)(7, 223, 16, 232)(8, 224, 17, 233)(10, 226, 21, 237)(11, 227, 24, 240)(13, 229, 28, 244)(14, 230, 29, 245)(15, 231, 32, 248)(18, 234, 37, 253)(19, 235, 40, 256)(20, 236, 41, 257)(22, 238, 45, 261)(23, 239, 48, 264)(25, 241, 52, 268)(26, 242, 53, 269)(27, 243, 56, 272)(30, 246, 61, 277)(31, 247, 64, 280)(33, 249, 68, 284)(34, 250, 69, 285)(35, 251, 72, 288)(36, 252, 73, 289)(38, 254, 77, 293)(39, 255, 80, 296)(42, 258, 85, 301)(43, 259, 88, 304)(44, 260, 89, 305)(46, 262, 93, 309)(47, 263, 96, 312)(49, 265, 100, 316)(50, 266, 101, 317)(51, 267, 104, 320)(54, 270, 109, 325)(55, 271, 112, 328)(57, 273, 116, 332)(58, 274, 117, 333)(59, 275, 120, 336)(60, 276, 121, 337)(62, 278, 125, 341)(63, 279, 113, 329)(65, 281, 129, 345)(66, 282, 102, 318)(67, 283, 98, 314)(70, 286, 110, 326)(71, 287, 136, 352)(74, 290, 140, 356)(75, 291, 142, 358)(76, 292, 126, 342)(78, 294, 146, 362)(79, 295, 119, 335)(81, 297, 148, 364)(82, 298, 149, 365)(83, 299, 150, 366)(84, 300, 131, 347)(86, 302, 152, 368)(87, 303, 123, 339)(90, 306, 143, 359)(91, 307, 122, 338)(92, 308, 156, 372)(94, 310, 159, 375)(95, 311, 160, 376)(97, 313, 164, 380)(99, 315, 167, 383)(103, 319, 173, 389)(105, 321, 176, 392)(106, 322, 177, 393)(107, 323, 178, 394)(108, 324, 179, 395)(111, 327, 174, 390)(114, 330, 165, 381)(115, 331, 162, 378)(118, 334, 171, 387)(124, 340, 180, 396)(127, 343, 175, 391)(128, 344, 193, 409)(130, 346, 194, 410)(132, 348, 195, 411)(133, 349, 196, 412)(134, 350, 183, 399)(135, 351, 198, 414)(137, 353, 199, 415)(138, 354, 182, 398)(139, 355, 168, 384)(141, 357, 187, 403)(144, 360, 197, 413)(145, 361, 185, 401)(147, 363, 204, 420)(151, 367, 192, 408)(153, 369, 201, 417)(154, 370, 184, 400)(155, 371, 200, 416)(157, 373, 203, 419)(158, 374, 202, 418)(161, 377, 205, 421)(163, 379, 206, 422)(166, 382, 208, 424)(169, 385, 211, 427)(170, 386, 212, 428)(172, 388, 209, 425)(181, 397, 210, 426)(186, 402, 214, 430)(188, 404, 213, 429)(189, 405, 207, 423)(190, 406, 216, 432)(191, 407, 215, 431)
	L = (1, 218)(2, 221)(3, 223)(4, 217)(5, 227)(6, 229)(7, 231)(8, 219)(9, 235)(10, 220)(11, 239)(12, 241)(13, 243)(14, 222)(15, 247)(16, 249)(17, 251)(18, 224)(19, 255)(20, 225)(21, 259)(22, 226)(23, 263)(24, 265)(25, 267)(26, 228)(27, 271)(28, 273)(29, 275)(30, 230)(31, 279)(32, 281)(33, 283)(34, 232)(35, 287)(36, 233)(37, 291)(38, 234)(39, 295)(40, 297)(41, 299)(42, 236)(43, 303)(44, 237)(45, 307)(46, 238)(47, 311)(48, 313)(49, 315)(50, 240)(51, 319)(52, 321)(53, 323)(54, 242)(55, 327)(56, 329)(57, 331)(58, 244)(59, 335)(60, 245)(61, 339)(62, 246)(63, 343)(64, 344)(65, 320)(66, 248)(67, 346)(68, 347)(69, 349)(70, 250)(71, 322)(72, 353)(73, 355)(74, 252)(75, 325)(76, 253)(77, 360)(78, 254)(79, 345)(80, 330)(81, 317)(82, 256)(83, 334)(84, 257)(85, 340)(86, 258)(87, 352)(88, 324)(89, 351)(90, 260)(91, 358)(92, 261)(93, 356)(94, 262)(95, 310)(96, 377)(97, 379)(98, 264)(99, 382)(100, 384)(101, 386)(102, 266)(103, 388)(104, 390)(105, 391)(106, 268)(107, 280)(108, 269)(109, 296)(110, 270)(111, 397)(112, 398)(113, 383)(114, 272)(115, 399)(116, 289)(117, 401)(118, 274)(119, 385)(120, 403)(121, 405)(122, 276)(123, 282)(124, 277)(125, 298)(126, 278)(127, 376)(128, 380)(129, 378)(130, 389)(131, 392)(132, 284)(133, 393)(134, 285)(135, 286)(136, 381)(137, 394)(138, 288)(139, 395)(140, 396)(141, 290)(142, 387)(143, 292)(144, 304)(145, 293)(146, 301)(147, 294)(148, 400)(149, 402)(150, 404)(151, 300)(152, 406)(153, 302)(154, 305)(155, 306)(156, 407)(157, 308)(158, 309)(159, 408)(160, 363)(161, 369)(162, 312)(163, 371)(164, 423)(165, 314)(166, 373)(167, 425)(168, 426)(169, 316)(170, 328)(171, 318)(172, 374)(173, 429)(174, 422)(175, 430)(176, 337)(177, 431)(178, 432)(179, 348)(180, 326)(181, 375)(182, 421)(183, 424)(184, 332)(185, 427)(186, 333)(187, 428)(188, 336)(189, 364)(190, 338)(191, 341)(192, 342)(193, 366)(194, 365)(195, 372)(196, 368)(197, 350)(198, 354)(199, 367)(200, 357)(201, 359)(202, 361)(203, 362)(204, 370)(205, 411)(206, 419)(207, 418)(208, 415)(209, 417)(210, 412)(211, 414)(212, 413)(213, 420)(214, 416)(215, 409)(216, 410)
	local type(s) :: { ( 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3043
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 108 e = 216 f = 54
	degree seq :: [ 4^108 ]

E28.3056 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = (C4 x ((C3 x C3) : C3)) : C2 (small group id <216, 51>)
Aut   = $<432, 301>$ (small group id <432, 301>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^6, (R * Y2^2 * Y1)^2, (R * Y2^-3 * Y1)^2, (Y2^-1 * Y1 * Y2^-2 * Y1)^2, Y2^-1 * Y1 * Y2 * Y1 * Y2^-2 * Y1 * Y2^3 * Y1 * Y2^-1, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 217, 2, 218)(3, 219, 7, 223)(4, 220, 9, 225)(5, 221, 11, 227)(6, 222, 13, 229)(8, 224, 17, 233)(10, 226, 21, 237)(12, 228, 24, 240)(14, 230, 28, 244)(15, 231, 29, 245)(16, 232, 31, 247)(18, 234, 35, 251)(19, 235, 36, 252)(20, 236, 38, 254)(22, 238, 42, 258)(23, 239, 44, 260)(25, 241, 48, 264)(26, 242, 49, 265)(27, 243, 51, 267)(30, 246, 54, 270)(32, 248, 60, 276)(33, 249, 52, 268)(34, 250, 62, 278)(37, 253, 68, 284)(39, 255, 46, 262)(40, 256, 71, 287)(41, 257, 43, 259)(45, 261, 79, 295)(47, 263, 81, 297)(50, 266, 87, 303)(53, 269, 90, 306)(55, 271, 93, 309)(56, 272, 94, 310)(57, 273, 96, 312)(58, 274, 97, 313)(59, 275, 99, 315)(61, 277, 80, 296)(63, 279, 91, 307)(64, 280, 100, 316)(65, 281, 102, 318)(66, 282, 103, 319)(67, 283, 104, 320)(69, 285, 98, 314)(70, 286, 105, 321)(72, 288, 82, 298)(73, 289, 92, 308)(74, 290, 106, 322)(75, 291, 107, 323)(76, 292, 109, 325)(77, 293, 110, 326)(78, 294, 112, 328)(83, 299, 113, 329)(84, 300, 115, 331)(85, 301, 116, 332)(86, 302, 117, 333)(88, 304, 111, 327)(89, 305, 118, 334)(95, 311, 114, 330)(101, 317, 108, 324)(119, 335, 141, 357)(120, 336, 142, 358)(121, 337, 143, 359)(122, 338, 145, 361)(123, 339, 146, 362)(124, 340, 147, 363)(125, 341, 148, 364)(126, 342, 144, 360)(127, 343, 149, 365)(128, 344, 150, 366)(129, 345, 151, 367)(130, 346, 152, 368)(131, 347, 153, 369)(132, 348, 154, 370)(133, 349, 156, 372)(134, 350, 157, 373)(135, 351, 158, 374)(136, 352, 159, 375)(137, 353, 155, 371)(138, 354, 160, 376)(139, 355, 161, 377)(140, 356, 162, 378)(163, 379, 181, 397)(164, 380, 182, 398)(165, 381, 183, 399)(166, 382, 184, 400)(167, 383, 185, 401)(168, 384, 186, 402)(169, 385, 187, 403)(170, 386, 188, 404)(171, 387, 189, 405)(172, 388, 190, 406)(173, 389, 191, 407)(174, 390, 192, 408)(175, 391, 193, 409)(176, 392, 194, 410)(177, 393, 195, 411)(178, 394, 196, 412)(179, 395, 197, 413)(180, 396, 198, 414)(199, 415, 208, 424)(200, 416, 212, 428)(201, 417, 210, 426)(202, 418, 214, 430)(203, 419, 209, 425)(204, 420, 213, 429)(205, 421, 211, 427)(206, 422, 216, 432)(207, 423, 215, 431)(433, 649, 435, 651, 440, 656, 450, 666, 442, 658, 436, 652)(434, 650, 437, 653, 444, 660, 457, 673, 446, 662, 438, 654)(439, 655, 447, 663, 462, 678, 489, 705, 464, 680, 448, 664)(441, 657, 451, 667, 469, 685, 501, 717, 471, 687, 452, 668)(443, 659, 454, 670, 475, 691, 508, 724, 477, 693, 455, 671)(445, 661, 458, 674, 482, 698, 520, 736, 484, 700, 459, 675)(449, 665, 465, 681, 493, 709, 511, 727, 495, 711, 466, 682)(453, 669, 472, 688, 504, 720, 519, 735, 505, 721, 473, 689)(456, 672, 478, 694, 512, 728, 492, 708, 514, 730, 479, 695)(460, 676, 485, 701, 523, 739, 500, 716, 524, 740, 486, 702)(461, 677, 487, 703, 470, 686, 502, 718, 527, 743, 488, 704)(463, 679, 490, 706, 530, 746, 558, 774, 532, 748, 491, 707)(467, 683, 496, 712, 522, 738, 546, 762, 513, 729, 497, 713)(468, 684, 498, 714, 534, 750, 555, 771, 528, 744, 499, 715)(474, 690, 506, 722, 483, 699, 521, 737, 540, 756, 507, 723)(476, 692, 509, 725, 543, 759, 569, 785, 545, 761, 510, 726)(480, 696, 515, 731, 503, 719, 533, 749, 494, 710, 516, 732)(481, 697, 517, 733, 547, 763, 566, 782, 541, 757, 518, 734)(525, 741, 551, 767, 531, 747, 559, 775, 535, 751, 552, 768)(526, 742, 553, 769, 576, 792, 560, 776, 536, 752, 554, 770)(529, 745, 556, 772, 578, 794, 561, 777, 537, 753, 557, 773)(538, 754, 562, 778, 544, 760, 570, 786, 548, 764, 563, 779)(539, 755, 564, 780, 587, 803, 571, 787, 549, 765, 565, 781)(542, 758, 567, 783, 589, 805, 572, 788, 550, 766, 568, 784)(573, 789, 595, 811, 577, 793, 601, 817, 579, 795, 596, 812)(574, 790, 597, 813, 582, 798, 602, 818, 580, 796, 598, 814)(575, 791, 599, 815, 583, 799, 603, 819, 581, 797, 600, 816)(584, 800, 604, 820, 588, 804, 610, 826, 590, 806, 605, 821)(585, 801, 606, 822, 593, 809, 611, 827, 591, 807, 607, 823)(586, 802, 608, 824, 594, 810, 612, 828, 592, 808, 609, 825)(613, 829, 631, 847, 616, 832, 637, 853, 617, 833, 632, 848)(614, 830, 633, 849, 620, 836, 638, 854, 618, 834, 634, 850)(615, 831, 635, 851, 621, 837, 639, 855, 619, 835, 636, 852)(622, 838, 640, 856, 625, 841, 646, 862, 626, 842, 641, 857)(623, 839, 642, 858, 629, 845, 647, 863, 627, 843, 643, 859)(624, 840, 644, 860, 630, 846, 648, 864, 628, 844, 645, 861)
	L = (1, 434)(2, 433)(3, 439)(4, 441)(5, 443)(6, 445)(7, 435)(8, 449)(9, 436)(10, 453)(11, 437)(12, 456)(13, 438)(14, 460)(15, 461)(16, 463)(17, 440)(18, 467)(19, 468)(20, 470)(21, 442)(22, 474)(23, 476)(24, 444)(25, 480)(26, 481)(27, 483)(28, 446)(29, 447)(30, 486)(31, 448)(32, 492)(33, 484)(34, 494)(35, 450)(36, 451)(37, 500)(38, 452)(39, 478)(40, 503)(41, 475)(42, 454)(43, 473)(44, 455)(45, 511)(46, 471)(47, 513)(48, 457)(49, 458)(50, 519)(51, 459)(52, 465)(53, 522)(54, 462)(55, 525)(56, 526)(57, 528)(58, 529)(59, 531)(60, 464)(61, 512)(62, 466)(63, 523)(64, 532)(65, 534)(66, 535)(67, 536)(68, 469)(69, 530)(70, 537)(71, 472)(72, 514)(73, 524)(74, 538)(75, 539)(76, 541)(77, 542)(78, 544)(79, 477)(80, 493)(81, 479)(82, 504)(83, 545)(84, 547)(85, 548)(86, 549)(87, 482)(88, 543)(89, 550)(90, 485)(91, 495)(92, 505)(93, 487)(94, 488)(95, 546)(96, 489)(97, 490)(98, 501)(99, 491)(100, 496)(101, 540)(102, 497)(103, 498)(104, 499)(105, 502)(106, 506)(107, 507)(108, 533)(109, 508)(110, 509)(111, 520)(112, 510)(113, 515)(114, 527)(115, 516)(116, 517)(117, 518)(118, 521)(119, 573)(120, 574)(121, 575)(122, 577)(123, 578)(124, 579)(125, 580)(126, 576)(127, 581)(128, 582)(129, 583)(130, 584)(131, 585)(132, 586)(133, 588)(134, 589)(135, 590)(136, 591)(137, 587)(138, 592)(139, 593)(140, 594)(141, 551)(142, 552)(143, 553)(144, 558)(145, 554)(146, 555)(147, 556)(148, 557)(149, 559)(150, 560)(151, 561)(152, 562)(153, 563)(154, 564)(155, 569)(156, 565)(157, 566)(158, 567)(159, 568)(160, 570)(161, 571)(162, 572)(163, 613)(164, 614)(165, 615)(166, 616)(167, 617)(168, 618)(169, 619)(170, 620)(171, 621)(172, 622)(173, 623)(174, 624)(175, 625)(176, 626)(177, 627)(178, 628)(179, 629)(180, 630)(181, 595)(182, 596)(183, 597)(184, 598)(185, 599)(186, 600)(187, 601)(188, 602)(189, 603)(190, 604)(191, 605)(192, 606)(193, 607)(194, 608)(195, 609)(196, 610)(197, 611)(198, 612)(199, 640)(200, 644)(201, 642)(202, 646)(203, 641)(204, 645)(205, 643)(206, 648)(207, 647)(208, 631)(209, 635)(210, 633)(211, 637)(212, 632)(213, 636)(214, 634)(215, 639)(216, 638)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.3065
Graph:: bipartite
	v = 144 e = 432 f = 234
	degree seq :: [ 4^108, 12^36 ]

E28.3057 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = (C2 x (((C3 x C3) : C3) : C2)) : C2 (small group id <216, 37>)
Aut   = $<432, 301>$ (small group id <432, 301>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1 * R)^2, (R * Y2 * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^6, (Y2 * Y1 * Y2^-2 * Y1)^2, Y2^-1 * Y1 * Y2^-3 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1 * Y2^-1, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 217, 2, 218)(3, 219, 7, 223)(4, 220, 9, 225)(5, 221, 11, 227)(6, 222, 13, 229)(8, 224, 17, 233)(10, 226, 21, 237)(12, 228, 24, 240)(14, 230, 28, 244)(15, 231, 29, 245)(16, 232, 31, 247)(18, 234, 35, 251)(19, 235, 36, 252)(20, 236, 38, 254)(22, 238, 42, 258)(23, 239, 44, 260)(25, 241, 48, 264)(26, 242, 49, 265)(27, 243, 51, 267)(30, 246, 57, 273)(32, 248, 47, 263)(33, 249, 61, 277)(34, 250, 45, 261)(37, 253, 53, 269)(39, 255, 70, 286)(40, 256, 50, 266)(41, 257, 72, 288)(43, 259, 76, 292)(46, 262, 80, 296)(52, 268, 89, 305)(54, 270, 91, 307)(55, 271, 93, 309)(56, 272, 95, 311)(58, 274, 97, 313)(59, 275, 98, 314)(60, 276, 99, 315)(62, 278, 81, 297)(63, 279, 90, 306)(64, 280, 102, 318)(65, 281, 96, 312)(66, 282, 103, 319)(67, 283, 94, 310)(68, 284, 104, 320)(69, 285, 105, 321)(71, 287, 82, 298)(73, 289, 92, 308)(74, 290, 106, 322)(75, 291, 108, 324)(77, 293, 110, 326)(78, 294, 111, 327)(79, 295, 112, 328)(83, 299, 115, 331)(84, 300, 109, 325)(85, 301, 116, 332)(86, 302, 107, 323)(87, 303, 117, 333)(88, 304, 118, 334)(100, 316, 114, 330)(101, 317, 113, 329)(119, 335, 141, 357)(120, 336, 142, 358)(121, 337, 144, 360)(122, 338, 145, 361)(123, 339, 146, 362)(124, 340, 143, 359)(125, 341, 147, 363)(126, 342, 148, 364)(127, 343, 149, 365)(128, 344, 150, 366)(129, 345, 151, 367)(130, 346, 152, 368)(131, 347, 153, 369)(132, 348, 155, 371)(133, 349, 156, 372)(134, 350, 157, 373)(135, 351, 154, 370)(136, 352, 158, 374)(137, 353, 159, 375)(138, 354, 160, 376)(139, 355, 161, 377)(140, 356, 162, 378)(163, 379, 181, 397)(164, 380, 182, 398)(165, 381, 183, 399)(166, 382, 184, 400)(167, 383, 185, 401)(168, 384, 186, 402)(169, 385, 187, 403)(170, 386, 188, 404)(171, 387, 189, 405)(172, 388, 190, 406)(173, 389, 191, 407)(174, 390, 192, 408)(175, 391, 193, 409)(176, 392, 194, 410)(177, 393, 195, 411)(178, 394, 196, 412)(179, 395, 197, 413)(180, 396, 198, 414)(199, 415, 208, 424)(200, 416, 216, 432)(201, 417, 214, 430)(202, 418, 211, 427)(203, 419, 215, 431)(204, 420, 213, 429)(205, 421, 210, 426)(206, 422, 212, 428)(207, 423, 209, 425)(433, 649, 435, 651, 440, 656, 450, 666, 442, 658, 436, 652)(434, 650, 437, 653, 444, 660, 457, 673, 446, 662, 438, 654)(439, 655, 447, 663, 462, 678, 490, 706, 464, 680, 448, 664)(441, 657, 451, 667, 469, 685, 499, 715, 471, 687, 452, 668)(443, 659, 454, 670, 475, 691, 509, 725, 477, 693, 455, 671)(445, 661, 458, 674, 482, 698, 518, 734, 484, 700, 459, 675)(449, 665, 465, 681, 494, 710, 521, 737, 495, 711, 466, 682)(453, 669, 472, 688, 503, 719, 508, 724, 505, 721, 473, 689)(456, 672, 478, 694, 513, 729, 502, 718, 514, 730, 479, 695)(460, 676, 485, 701, 522, 738, 489, 705, 524, 740, 486, 702)(461, 677, 487, 703, 526, 742, 553, 769, 528, 744, 488, 704)(463, 679, 491, 707, 468, 684, 498, 714, 532, 748, 492, 708)(467, 683, 496, 712, 523, 739, 546, 762, 512, 728, 497, 713)(470, 686, 500, 716, 534, 750, 556, 772, 529, 745, 501, 717)(474, 690, 506, 722, 539, 755, 564, 780, 541, 757, 507, 723)(476, 692, 510, 726, 481, 697, 517, 733, 545, 761, 511, 727)(480, 696, 515, 731, 504, 720, 533, 749, 493, 709, 516, 732)(483, 699, 519, 735, 547, 763, 567, 783, 542, 758, 520, 736)(525, 741, 551, 767, 535, 751, 560, 776, 575, 791, 552, 768)(527, 743, 554, 770, 530, 746, 557, 773, 536, 752, 555, 771)(531, 747, 558, 774, 537, 753, 561, 777, 576, 792, 559, 775)(538, 754, 562, 778, 548, 764, 571, 787, 586, 802, 563, 779)(540, 756, 565, 781, 543, 759, 568, 784, 549, 765, 566, 782)(544, 760, 569, 785, 550, 766, 572, 788, 587, 803, 570, 786)(573, 789, 595, 811, 579, 795, 602, 818, 583, 799, 596, 812)(574, 790, 597, 813, 577, 793, 599, 815, 580, 796, 598, 814)(578, 794, 600, 816, 581, 797, 603, 819, 582, 798, 601, 817)(584, 800, 604, 820, 590, 806, 611, 827, 594, 810, 605, 821)(585, 801, 606, 822, 588, 804, 608, 824, 591, 807, 607, 823)(589, 805, 609, 825, 592, 808, 612, 828, 593, 809, 610, 826)(613, 829, 631, 847, 617, 833, 638, 854, 621, 837, 632, 848)(614, 830, 633, 849, 615, 831, 635, 851, 618, 834, 634, 850)(616, 832, 636, 852, 619, 835, 639, 855, 620, 836, 637, 853)(622, 838, 640, 856, 626, 842, 647, 863, 630, 846, 641, 857)(623, 839, 642, 858, 624, 840, 644, 860, 627, 843, 643, 859)(625, 841, 645, 861, 628, 844, 648, 864, 629, 845, 646, 862)
	L = (1, 434)(2, 433)(3, 439)(4, 441)(5, 443)(6, 445)(7, 435)(8, 449)(9, 436)(10, 453)(11, 437)(12, 456)(13, 438)(14, 460)(15, 461)(16, 463)(17, 440)(18, 467)(19, 468)(20, 470)(21, 442)(22, 474)(23, 476)(24, 444)(25, 480)(26, 481)(27, 483)(28, 446)(29, 447)(30, 489)(31, 448)(32, 479)(33, 493)(34, 477)(35, 450)(36, 451)(37, 485)(38, 452)(39, 502)(40, 482)(41, 504)(42, 454)(43, 508)(44, 455)(45, 466)(46, 512)(47, 464)(48, 457)(49, 458)(50, 472)(51, 459)(52, 521)(53, 469)(54, 523)(55, 525)(56, 527)(57, 462)(58, 529)(59, 530)(60, 531)(61, 465)(62, 513)(63, 522)(64, 534)(65, 528)(66, 535)(67, 526)(68, 536)(69, 537)(70, 471)(71, 514)(72, 473)(73, 524)(74, 538)(75, 540)(76, 475)(77, 542)(78, 543)(79, 544)(80, 478)(81, 494)(82, 503)(83, 547)(84, 541)(85, 548)(86, 539)(87, 549)(88, 550)(89, 484)(90, 495)(91, 486)(92, 505)(93, 487)(94, 499)(95, 488)(96, 497)(97, 490)(98, 491)(99, 492)(100, 546)(101, 545)(102, 496)(103, 498)(104, 500)(105, 501)(106, 506)(107, 518)(108, 507)(109, 516)(110, 509)(111, 510)(112, 511)(113, 533)(114, 532)(115, 515)(116, 517)(117, 519)(118, 520)(119, 573)(120, 574)(121, 576)(122, 577)(123, 578)(124, 575)(125, 579)(126, 580)(127, 581)(128, 582)(129, 583)(130, 584)(131, 585)(132, 587)(133, 588)(134, 589)(135, 586)(136, 590)(137, 591)(138, 592)(139, 593)(140, 594)(141, 551)(142, 552)(143, 556)(144, 553)(145, 554)(146, 555)(147, 557)(148, 558)(149, 559)(150, 560)(151, 561)(152, 562)(153, 563)(154, 567)(155, 564)(156, 565)(157, 566)(158, 568)(159, 569)(160, 570)(161, 571)(162, 572)(163, 613)(164, 614)(165, 615)(166, 616)(167, 617)(168, 618)(169, 619)(170, 620)(171, 621)(172, 622)(173, 623)(174, 624)(175, 625)(176, 626)(177, 627)(178, 628)(179, 629)(180, 630)(181, 595)(182, 596)(183, 597)(184, 598)(185, 599)(186, 600)(187, 601)(188, 602)(189, 603)(190, 604)(191, 605)(192, 606)(193, 607)(194, 608)(195, 609)(196, 610)(197, 611)(198, 612)(199, 640)(200, 648)(201, 646)(202, 643)(203, 647)(204, 645)(205, 642)(206, 644)(207, 641)(208, 631)(209, 639)(210, 637)(211, 634)(212, 638)(213, 636)(214, 633)(215, 635)(216, 632)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.3066
Graph:: bipartite
	v = 144 e = 432 f = 234
	degree seq :: [ 4^108, 12^36 ]

E28.3058 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = (C2 x C2 x ((C3 x C3) : C3)) : C2 (small group id <216, 60>)
Aut   = $<432, 324>$ (small group id <432, 324>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^6, Y1 * R * Y2^-2 * R * Y1 * Y2^-2, R * Y2^-2 * R * Y1 * Y2^-2 * Y1, (R * Y2^2 * Y1)^2, Y2^-2 * Y1 * Y2^-1 * Y1 * Y2^-3 * Y1 * Y2 * Y1 * Y2^-1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^2 * Y1 * Y2^-1, Y2^-1 * Y1 * Y2 * Y1 * Y2 * R * Y2^2 * R * Y2 * Y1 * Y2 * Y1 * Y2^-1, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 217, 2, 218)(3, 219, 7, 223)(4, 220, 9, 225)(5, 221, 11, 227)(6, 222, 13, 229)(8, 224, 17, 233)(10, 226, 21, 237)(12, 228, 24, 240)(14, 230, 28, 244)(15, 231, 29, 245)(16, 232, 31, 247)(18, 234, 35, 251)(19, 235, 36, 252)(20, 236, 38, 254)(22, 238, 42, 258)(23, 239, 44, 260)(25, 241, 48, 264)(26, 242, 49, 265)(27, 243, 51, 267)(30, 246, 57, 273)(32, 248, 61, 277)(33, 249, 62, 278)(34, 250, 64, 280)(37, 253, 70, 286)(39, 255, 74, 290)(40, 256, 75, 291)(41, 257, 77, 293)(43, 259, 81, 297)(45, 261, 85, 301)(46, 262, 86, 302)(47, 263, 88, 304)(50, 266, 94, 310)(52, 268, 98, 314)(53, 269, 99, 315)(54, 270, 101, 317)(55, 271, 103, 319)(56, 272, 105, 321)(58, 274, 90, 306)(59, 275, 109, 325)(60, 276, 111, 327)(63, 279, 117, 333)(65, 281, 121, 337)(66, 282, 82, 298)(67, 283, 95, 311)(68, 284, 124, 340)(69, 285, 125, 341)(71, 287, 91, 307)(72, 288, 128, 344)(73, 289, 129, 345)(76, 292, 132, 348)(78, 294, 134, 350)(79, 295, 135, 351)(80, 296, 137, 353)(83, 299, 141, 357)(84, 300, 143, 359)(87, 303, 149, 365)(89, 305, 153, 369)(92, 308, 156, 372)(93, 309, 157, 373)(96, 312, 160, 376)(97, 313, 161, 377)(100, 316, 164, 380)(102, 318, 166, 382)(104, 320, 167, 383)(106, 322, 152, 368)(107, 323, 139, 355)(108, 324, 171, 387)(110, 326, 172, 388)(112, 328, 144, 360)(113, 329, 159, 375)(114, 330, 176, 392)(115, 331, 177, 393)(116, 332, 148, 364)(118, 334, 154, 370)(119, 335, 179, 395)(120, 336, 138, 354)(122, 338, 150, 366)(123, 339, 165, 381)(126, 342, 168, 384)(127, 343, 145, 361)(130, 346, 174, 390)(131, 347, 163, 379)(133, 349, 155, 371)(136, 352, 182, 398)(140, 356, 186, 402)(142, 358, 187, 403)(146, 362, 191, 407)(147, 363, 192, 408)(151, 367, 194, 410)(158, 374, 183, 399)(162, 378, 189, 405)(169, 385, 188, 404)(170, 386, 200, 416)(173, 389, 184, 400)(175, 391, 204, 420)(178, 394, 197, 413)(180, 396, 203, 419)(181, 397, 196, 412)(185, 401, 208, 424)(190, 406, 212, 428)(193, 409, 205, 421)(195, 411, 211, 427)(198, 414, 209, 425)(199, 415, 210, 426)(201, 417, 206, 422)(202, 418, 207, 423)(213, 429, 216, 432)(214, 430, 215, 431)(433, 649, 435, 651, 440, 656, 450, 666, 442, 658, 436, 652)(434, 650, 437, 653, 444, 660, 457, 673, 446, 662, 438, 654)(439, 655, 447, 663, 462, 678, 490, 706, 464, 680, 448, 664)(441, 657, 451, 667, 469, 685, 503, 719, 471, 687, 452, 668)(443, 659, 454, 670, 475, 691, 514, 730, 477, 693, 455, 671)(445, 661, 458, 674, 482, 698, 527, 743, 484, 700, 459, 675)(449, 665, 465, 681, 495, 711, 550, 766, 497, 713, 466, 682)(453, 669, 472, 688, 508, 724, 565, 781, 510, 726, 473, 689)(456, 672, 478, 694, 519, 735, 582, 798, 521, 737, 479, 695)(460, 676, 485, 701, 532, 748, 597, 813, 534, 750, 486, 702)(461, 677, 487, 703, 536, 752, 507, 723, 538, 754, 488, 704)(463, 679, 491, 707, 542, 758, 509, 725, 544, 760, 492, 708)(467, 683, 498, 714, 554, 770, 613, 829, 555, 771, 499, 715)(468, 684, 500, 716, 548, 764, 494, 710, 547, 763, 501, 717)(470, 686, 504, 720, 552, 768, 496, 712, 551, 767, 505, 721)(474, 690, 511, 727, 568, 784, 531, 747, 570, 786, 512, 728)(476, 692, 515, 731, 574, 790, 533, 749, 576, 792, 516, 732)(480, 696, 522, 738, 586, 802, 628, 844, 587, 803, 523, 739)(481, 697, 524, 740, 580, 796, 518, 734, 579, 795, 525, 741)(483, 699, 528, 744, 584, 800, 520, 736, 583, 799, 529, 745)(489, 705, 539, 755, 602, 818, 564, 780, 573, 789, 540, 756)(493, 709, 545, 761, 607, 823, 566, 782, 593, 809, 546, 762)(502, 718, 558, 774, 567, 783, 549, 765, 610, 826, 559, 775)(506, 722, 562, 778, 589, 805, 553, 769, 612, 828, 563, 779)(513, 729, 571, 787, 617, 833, 596, 812, 541, 757, 572, 788)(517, 733, 577, 793, 622, 838, 598, 814, 561, 777, 578, 794)(526, 742, 590, 806, 535, 751, 581, 797, 625, 841, 591, 807)(530, 746, 594, 810, 557, 773, 585, 801, 627, 843, 595, 811)(537, 753, 600, 816, 631, 847, 608, 824, 560, 776, 601, 817)(543, 759, 605, 821, 556, 772, 603, 819, 633, 849, 606, 822)(569, 785, 615, 831, 639, 855, 623, 839, 592, 808, 616, 832)(575, 791, 620, 836, 588, 804, 618, 834, 641, 857, 621, 837)(599, 815, 629, 845, 645, 861, 636, 852, 611, 827, 630, 846)(604, 820, 634, 850, 609, 825, 632, 848, 646, 862, 635, 851)(614, 830, 637, 853, 647, 863, 644, 860, 626, 842, 638, 854)(619, 835, 642, 858, 624, 840, 640, 856, 648, 864, 643, 859)
	L = (1, 434)(2, 433)(3, 439)(4, 441)(5, 443)(6, 445)(7, 435)(8, 449)(9, 436)(10, 453)(11, 437)(12, 456)(13, 438)(14, 460)(15, 461)(16, 463)(17, 440)(18, 467)(19, 468)(20, 470)(21, 442)(22, 474)(23, 476)(24, 444)(25, 480)(26, 481)(27, 483)(28, 446)(29, 447)(30, 489)(31, 448)(32, 493)(33, 494)(34, 496)(35, 450)(36, 451)(37, 502)(38, 452)(39, 506)(40, 507)(41, 509)(42, 454)(43, 513)(44, 455)(45, 517)(46, 518)(47, 520)(48, 457)(49, 458)(50, 526)(51, 459)(52, 530)(53, 531)(54, 533)(55, 535)(56, 537)(57, 462)(58, 522)(59, 541)(60, 543)(61, 464)(62, 465)(63, 549)(64, 466)(65, 553)(66, 514)(67, 527)(68, 556)(69, 557)(70, 469)(71, 523)(72, 560)(73, 561)(74, 471)(75, 472)(76, 564)(77, 473)(78, 566)(79, 567)(80, 569)(81, 475)(82, 498)(83, 573)(84, 575)(85, 477)(86, 478)(87, 581)(88, 479)(89, 585)(90, 490)(91, 503)(92, 588)(93, 589)(94, 482)(95, 499)(96, 592)(97, 593)(98, 484)(99, 485)(100, 596)(101, 486)(102, 598)(103, 487)(104, 599)(105, 488)(106, 584)(107, 571)(108, 603)(109, 491)(110, 604)(111, 492)(112, 576)(113, 591)(114, 608)(115, 609)(116, 580)(117, 495)(118, 586)(119, 611)(120, 570)(121, 497)(122, 582)(123, 597)(124, 500)(125, 501)(126, 600)(127, 577)(128, 504)(129, 505)(130, 606)(131, 595)(132, 508)(133, 587)(134, 510)(135, 511)(136, 614)(137, 512)(138, 552)(139, 539)(140, 618)(141, 515)(142, 619)(143, 516)(144, 544)(145, 559)(146, 623)(147, 624)(148, 548)(149, 519)(150, 554)(151, 626)(152, 538)(153, 521)(154, 550)(155, 565)(156, 524)(157, 525)(158, 615)(159, 545)(160, 528)(161, 529)(162, 621)(163, 563)(164, 532)(165, 555)(166, 534)(167, 536)(168, 558)(169, 620)(170, 632)(171, 540)(172, 542)(173, 616)(174, 562)(175, 636)(176, 546)(177, 547)(178, 629)(179, 551)(180, 635)(181, 628)(182, 568)(183, 590)(184, 605)(185, 640)(186, 572)(187, 574)(188, 601)(189, 594)(190, 644)(191, 578)(192, 579)(193, 637)(194, 583)(195, 643)(196, 613)(197, 610)(198, 641)(199, 642)(200, 602)(201, 638)(202, 639)(203, 612)(204, 607)(205, 625)(206, 633)(207, 634)(208, 617)(209, 630)(210, 631)(211, 627)(212, 622)(213, 648)(214, 647)(215, 646)(216, 645)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.3067
Graph:: bipartite
	v = 144 e = 432 f = 234
	degree seq :: [ 4^108, 12^36 ]

E28.3059 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = (C4 x ((C3 x C3) : C3)) : C2 (small group id <216, 51>)
Aut   = $<432, 301>$ (small group id <432, 301>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y1^-1 * Y2^-1)^2, (Y2 * Y1^-1 * Y2)^2, (Y1^-1 * Y2^2)^2, Y1^6, Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-2 * Y2 * Y1^-1, Y2^-2 * Y1^2 * Y2^3 * Y1^-2 * Y2^-1, Y2^12 ]
Map::
	R = (1, 217, 2, 218, 6, 222, 16, 232, 13, 229, 4, 220)(3, 219, 9, 225, 23, 239, 49, 265, 28, 244, 11, 227)(5, 221, 14, 230, 33, 249, 45, 261, 20, 236, 7, 223)(8, 224, 21, 237, 46, 262, 77, 293, 39, 255, 17, 233)(10, 226, 25, 241, 54, 270, 89, 305, 47, 263, 22, 238)(12, 228, 29, 245, 60, 276, 103, 319, 64, 280, 31, 247)(15, 231, 30, 246, 62, 278, 106, 322, 68, 284, 34, 250)(18, 234, 40, 256, 78, 294, 116, 332, 71, 287, 36, 252)(19, 235, 42, 258, 81, 297, 125, 341, 79, 295, 41, 257)(24, 240, 52, 268, 94, 310, 123, 339, 87, 303, 50, 266)(26, 242, 48, 264, 75, 291, 119, 335, 95, 311, 53, 269)(27, 243, 57, 273, 76, 292, 122, 338, 102, 318, 58, 274)(32, 248, 37, 253, 72, 288, 117, 333, 98, 314, 65, 281)(35, 251, 43, 259, 80, 296, 114, 330, 105, 321, 63, 279)(38, 254, 74, 290, 59, 275, 92, 308, 118, 334, 73, 289)(44, 260, 84, 300, 115, 331, 91, 307, 51, 267, 85, 301)(55, 271, 99, 315, 120, 336, 156, 372, 137, 353, 97, 313)(56, 272, 96, 312, 136, 352, 169, 385, 141, 357, 100, 316)(61, 277, 70, 286, 113, 329, 86, 302, 66, 282, 104, 320)(67, 283, 110, 326, 124, 340, 159, 375, 144, 360, 109, 325)(69, 285, 111, 327, 149, 365, 163, 379, 129, 345, 83, 299)(82, 298, 128, 344, 152, 368, 146, 362, 107, 323, 127, 343)(88, 304, 132, 348, 154, 370, 135, 351, 93, 309, 131, 347)(90, 306, 133, 349, 166, 382, 187, 403, 157, 373, 121, 337)(101, 317, 142, 358, 174, 390, 196, 412, 168, 384, 134, 350)(108, 324, 145, 361, 177, 393, 190, 406, 162, 378, 147, 363)(112, 328, 148, 364, 180, 396, 204, 420, 182, 398, 151, 367)(126, 342, 160, 376, 150, 366, 179, 395, 183, 399, 153, 369)(130, 346, 164, 380, 192, 408, 210, 426, 191, 407, 161, 377)(138, 354, 155, 371, 185, 401, 167, 383, 140, 356, 171, 387)(139, 355, 172, 388, 199, 415, 208, 424, 195, 411, 170, 386)(143, 359, 165, 381, 189, 405, 206, 422, 200, 416, 173, 389)(158, 374, 188, 404, 175, 391, 197, 413, 207, 423, 186, 402)(176, 392, 202, 418, 209, 425, 216, 432, 214, 430, 201, 417)(178, 394, 184, 400, 205, 421, 193, 409, 181, 397, 203, 419)(194, 410, 212, 428, 215, 431, 213, 429, 198, 414, 211, 427)(433, 649, 435, 651, 442, 658, 458, 674, 488, 704, 533, 749, 575, 791, 544, 760, 501, 717, 467, 683, 447, 663, 437, 653)(434, 650, 439, 655, 451, 667, 475, 691, 515, 731, 562, 778, 597, 813, 566, 782, 522, 738, 480, 696, 454, 670, 440, 656)(436, 652, 444, 660, 462, 678, 495, 711, 540, 756, 580, 796, 605, 821, 571, 787, 528, 744, 485, 701, 456, 672, 441, 657)(438, 654, 449, 665, 470, 686, 507, 723, 553, 769, 590, 806, 621, 837, 593, 809, 558, 774, 512, 728, 473, 689, 450, 666)(443, 659, 459, 675, 446, 662, 466, 682, 499, 715, 543, 759, 583, 799, 608, 824, 574, 790, 532, 748, 487, 703, 457, 673)(445, 661, 464, 680, 484, 700, 527, 743, 570, 786, 604, 820, 632, 848, 610, 826, 577, 793, 537, 753, 493, 709, 461, 677)(448, 664, 468, 684, 502, 718, 546, 762, 585, 801, 616, 832, 638, 854, 618, 834, 587, 803, 551, 767, 505, 721, 469, 685)(452, 668, 476, 692, 453, 669, 479, 695, 520, 736, 565, 781, 600, 816, 626, 842, 596, 812, 561, 777, 514, 730, 474, 690)(455, 671, 482, 698, 525, 741, 568, 784, 602, 818, 630, 846, 612, 828, 579, 795, 539, 755, 494, 710, 463, 679, 483, 699)(460, 676, 491, 707, 531, 747, 573, 789, 607, 823, 634, 850, 614, 830, 582, 798, 542, 758, 500, 716, 510, 726, 489, 705)(465, 681, 490, 706, 530, 746, 486, 702, 529, 745, 572, 788, 606, 822, 633, 849, 613, 829, 581, 797, 541, 757, 498, 714)(471, 687, 508, 724, 472, 688, 511, 727, 556, 772, 592, 808, 623, 839, 641, 857, 620, 836, 589, 805, 552, 768, 506, 722)(477, 693, 518, 734, 560, 776, 595, 811, 625, 841, 644, 860, 628, 844, 599, 815, 564, 780, 521, 737, 549, 765, 516, 732)(478, 694, 517, 733, 496, 712, 513, 729, 559, 775, 594, 810, 624, 840, 643, 859, 627, 843, 598, 814, 563, 779, 519, 735)(481, 697, 523, 739, 548, 764, 538, 754, 578, 794, 611, 827, 636, 852, 645, 861, 629, 845, 601, 817, 567, 783, 524, 740)(492, 708, 536, 752, 576, 792, 609, 825, 635, 851, 646, 862, 631, 847, 603, 819, 569, 785, 526, 742, 497, 713, 534, 750)(503, 719, 547, 763, 504, 720, 550, 766, 586, 802, 617, 833, 639, 855, 647, 863, 637, 853, 615, 831, 584, 800, 545, 761)(509, 725, 555, 771, 588, 804, 619, 835, 640, 856, 648, 864, 642, 858, 622, 838, 591, 807, 557, 773, 535, 751, 554, 770)
	L = (1, 435)(2, 439)(3, 442)(4, 444)(5, 433)(6, 449)(7, 451)(8, 434)(9, 436)(10, 458)(11, 459)(12, 462)(13, 464)(14, 466)(15, 437)(16, 468)(17, 470)(18, 438)(19, 475)(20, 476)(21, 479)(22, 440)(23, 482)(24, 441)(25, 443)(26, 488)(27, 446)(28, 491)(29, 445)(30, 495)(31, 483)(32, 484)(33, 490)(34, 499)(35, 447)(36, 502)(37, 448)(38, 507)(39, 508)(40, 511)(41, 450)(42, 452)(43, 515)(44, 453)(45, 518)(46, 517)(47, 520)(48, 454)(49, 523)(50, 525)(51, 455)(52, 527)(53, 456)(54, 529)(55, 457)(56, 533)(57, 460)(58, 530)(59, 531)(60, 536)(61, 461)(62, 463)(63, 540)(64, 513)(65, 534)(66, 465)(67, 543)(68, 510)(69, 467)(70, 546)(71, 547)(72, 550)(73, 469)(74, 471)(75, 553)(76, 472)(77, 555)(78, 489)(79, 556)(80, 473)(81, 559)(82, 474)(83, 562)(84, 477)(85, 496)(86, 560)(87, 478)(88, 565)(89, 549)(90, 480)(91, 548)(92, 481)(93, 568)(94, 497)(95, 570)(96, 485)(97, 572)(98, 486)(99, 573)(100, 487)(101, 575)(102, 492)(103, 554)(104, 576)(105, 493)(106, 578)(107, 494)(108, 580)(109, 498)(110, 500)(111, 583)(112, 501)(113, 503)(114, 585)(115, 504)(116, 538)(117, 516)(118, 586)(119, 505)(120, 506)(121, 590)(122, 509)(123, 588)(124, 592)(125, 535)(126, 512)(127, 594)(128, 595)(129, 514)(130, 597)(131, 519)(132, 521)(133, 600)(134, 522)(135, 524)(136, 602)(137, 526)(138, 604)(139, 528)(140, 606)(141, 607)(142, 532)(143, 544)(144, 609)(145, 537)(146, 611)(147, 539)(148, 605)(149, 541)(150, 542)(151, 608)(152, 545)(153, 616)(154, 617)(155, 551)(156, 619)(157, 552)(158, 621)(159, 557)(160, 623)(161, 558)(162, 624)(163, 625)(164, 561)(165, 566)(166, 563)(167, 564)(168, 626)(169, 567)(170, 630)(171, 569)(172, 632)(173, 571)(174, 633)(175, 634)(176, 574)(177, 635)(178, 577)(179, 636)(180, 579)(181, 581)(182, 582)(183, 584)(184, 638)(185, 639)(186, 587)(187, 640)(188, 589)(189, 593)(190, 591)(191, 641)(192, 643)(193, 644)(194, 596)(195, 598)(196, 599)(197, 601)(198, 612)(199, 603)(200, 610)(201, 613)(202, 614)(203, 646)(204, 645)(205, 615)(206, 618)(207, 647)(208, 648)(209, 620)(210, 622)(211, 627)(212, 628)(213, 629)(214, 631)(215, 637)(216, 642)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.3062
Graph:: bipartite
	v = 54 e = 432 f = 324
	degree seq :: [ 12^36, 24^18 ]

E28.3060 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = (C2 x (((C3 x C3) : C3) : C2)) : C2 (small group id <216, 37>)
Aut   = $<432, 301>$ (small group id <432, 301>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2 * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y1^6, Y1^2 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-1, Y1^-1 * Y2^3 * Y1^-2 * Y2^-2 * Y1 * Y2, Y1^-1 * Y2^-1 * Y1^2 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y2^12 ]
Map::
	R = (1, 217, 2, 218, 6, 222, 16, 232, 13, 229, 4, 220)(3, 219, 9, 225, 23, 239, 55, 271, 29, 245, 11, 227)(5, 221, 14, 230, 34, 250, 49, 265, 20, 236, 7, 223)(8, 224, 21, 237, 50, 266, 91, 307, 42, 258, 17, 233)(10, 226, 25, 241, 60, 276, 86, 302, 65, 281, 27, 243)(12, 228, 30, 246, 68, 284, 122, 338, 73, 289, 32, 248)(15, 231, 37, 253, 79, 295, 83, 299, 78, 294, 35, 251)(18, 234, 43, 259, 92, 308, 134, 350, 84, 300, 39, 255)(19, 235, 45, 261, 96, 312, 69, 285, 101, 317, 47, 263)(22, 238, 53, 269, 107, 323, 74, 290, 106, 322, 51, 267)(24, 240, 58, 274, 89, 305, 41, 257, 87, 303, 56, 272)(26, 242, 62, 278, 117, 333, 139, 355, 88, 304, 64, 280)(28, 244, 66, 282, 90, 306, 76, 292, 36, 252, 67, 283)(31, 247, 70, 286, 93, 309, 44, 260, 94, 310, 72, 288)(33, 249, 40, 256, 85, 301, 135, 351, 112, 328, 75, 291)(38, 254, 81, 297, 123, 339, 141, 357, 95, 311, 80, 296)(46, 262, 98, 314, 71, 287, 125, 341, 133, 349, 100, 316)(48, 264, 102, 318, 57, 273, 104, 320, 52, 268, 103, 319)(54, 270, 109, 325, 59, 275, 113, 329, 136, 352, 108, 324)(61, 277, 105, 321, 149, 365, 111, 327, 137, 353, 115, 331)(63, 279, 119, 335, 151, 367, 173, 389, 155, 371, 121, 337)(77, 293, 127, 343, 143, 359, 97, 313, 140, 356, 124, 340)(82, 298, 131, 347, 144, 360, 172, 388, 165, 381, 130, 346)(99, 315, 146, 362, 177, 393, 164, 380, 128, 344, 148, 364)(110, 326, 153, 369, 174, 390, 159, 375, 118, 334, 152, 368)(114, 330, 150, 366, 116, 332, 138, 354, 175, 391, 156, 372)(120, 336, 162, 378, 190, 406, 203, 419, 188, 404, 154, 370)(126, 342, 145, 361, 129, 345, 142, 358, 178, 394, 167, 383)(132, 348, 166, 382, 199, 415, 205, 421, 182, 398, 171, 387)(147, 363, 183, 399, 170, 386, 198, 414, 206, 422, 179, 395)(157, 373, 191, 407, 202, 418, 186, 402, 161, 377, 185, 401)(158, 374, 187, 403, 160, 376, 189, 405, 201, 417, 176, 392)(163, 379, 184, 400, 204, 420, 214, 430, 213, 429, 192, 408)(168, 384, 197, 413, 200, 416, 180, 396, 169, 385, 181, 397)(193, 409, 209, 425, 215, 431, 212, 428, 196, 412, 208, 424)(194, 410, 210, 426, 195, 411, 207, 423, 216, 432, 211, 427)(433, 649, 435, 651, 442, 658, 458, 674, 495, 711, 552, 768, 595, 811, 564, 780, 514, 730, 470, 686, 447, 663, 437, 653)(434, 650, 439, 655, 451, 667, 478, 694, 531, 747, 579, 795, 616, 832, 586, 802, 542, 758, 486, 702, 454, 670, 440, 656)(436, 652, 444, 660, 463, 679, 503, 719, 558, 774, 598, 814, 624, 840, 589, 805, 546, 762, 491, 707, 456, 672, 441, 657)(438, 654, 449, 665, 473, 689, 520, 736, 570, 786, 608, 824, 636, 852, 611, 827, 574, 790, 527, 743, 476, 692, 450, 666)(443, 659, 460, 676, 475, 691, 525, 741, 572, 788, 563, 779, 603, 819, 625, 841, 590, 806, 548, 764, 493, 709, 457, 673)(445, 661, 465, 681, 506, 722, 549, 765, 591, 807, 623, 839, 645, 861, 629, 845, 596, 812, 555, 771, 501, 717, 462, 678)(446, 662, 467, 683, 509, 725, 560, 776, 600, 816, 628, 844, 594, 810, 553, 769, 581, 797, 538, 754, 507, 723, 468, 684)(448, 664, 471, 687, 515, 731, 565, 781, 604, 820, 632, 848, 646, 862, 633, 849, 605, 821, 568, 784, 518, 734, 472, 688)(452, 668, 480, 696, 517, 733, 492, 708, 547, 763, 585, 801, 620, 836, 639, 855, 612, 828, 576, 792, 529, 745, 477, 693)(453, 669, 483, 699, 537, 753, 582, 798, 617, 833, 642, 858, 615, 831, 580, 796, 556, 772, 502, 718, 464, 680, 484, 700)(455, 671, 488, 704, 543, 759, 587, 803, 621, 837, 643, 859, 631, 847, 599, 815, 559, 775, 510, 726, 516, 732, 489, 705)(459, 675, 482, 698, 536, 752, 566, 782, 533, 749, 513, 729, 562, 778, 602, 818, 626, 842, 592, 808, 550, 766, 494, 710)(461, 677, 485, 701, 540, 756, 583, 799, 618, 834, 641, 857, 614, 830, 578, 794, 532, 748, 511, 727, 554, 770, 498, 714)(466, 682, 508, 724, 523, 739, 497, 713, 545, 761, 588, 804, 622, 838, 644, 860, 630, 846, 597, 813, 557, 773, 504, 720)(469, 685, 512, 728, 561, 777, 601, 817, 627, 843, 593, 809, 551, 767, 496, 712, 521, 737, 567, 783, 535, 751, 505, 721)(474, 690, 522, 738, 500, 716, 528, 744, 575, 791, 610, 826, 638, 854, 647, 863, 634, 850, 606, 822, 569, 785, 519, 735)(479, 695, 524, 740, 499, 715, 544, 760, 490, 706, 541, 757, 584, 800, 619, 835, 640, 856, 613, 829, 577, 793, 530, 746)(481, 697, 526, 742, 573, 789, 609, 825, 637, 853, 648, 864, 635, 851, 607, 823, 571, 787, 539, 755, 487, 703, 534, 750)
	L = (1, 435)(2, 439)(3, 442)(4, 444)(5, 433)(6, 449)(7, 451)(8, 434)(9, 436)(10, 458)(11, 460)(12, 463)(13, 465)(14, 467)(15, 437)(16, 471)(17, 473)(18, 438)(19, 478)(20, 480)(21, 483)(22, 440)(23, 488)(24, 441)(25, 443)(26, 495)(27, 482)(28, 475)(29, 485)(30, 445)(31, 503)(32, 484)(33, 506)(34, 508)(35, 509)(36, 446)(37, 512)(38, 447)(39, 515)(40, 448)(41, 520)(42, 522)(43, 525)(44, 450)(45, 452)(46, 531)(47, 524)(48, 517)(49, 526)(50, 536)(51, 537)(52, 453)(53, 540)(54, 454)(55, 534)(56, 543)(57, 455)(58, 541)(59, 456)(60, 547)(61, 457)(62, 459)(63, 552)(64, 521)(65, 545)(66, 461)(67, 544)(68, 528)(69, 462)(70, 464)(71, 558)(72, 466)(73, 469)(74, 549)(75, 468)(76, 523)(77, 560)(78, 516)(79, 554)(80, 561)(81, 562)(82, 470)(83, 565)(84, 489)(85, 492)(86, 472)(87, 474)(88, 570)(89, 567)(90, 500)(91, 497)(92, 499)(93, 572)(94, 573)(95, 476)(96, 575)(97, 477)(98, 479)(99, 579)(100, 511)(101, 513)(102, 481)(103, 505)(104, 566)(105, 582)(106, 507)(107, 487)(108, 583)(109, 584)(110, 486)(111, 587)(112, 490)(113, 588)(114, 491)(115, 585)(116, 493)(117, 591)(118, 494)(119, 496)(120, 595)(121, 581)(122, 498)(123, 501)(124, 502)(125, 504)(126, 598)(127, 510)(128, 600)(129, 601)(130, 602)(131, 603)(132, 514)(133, 604)(134, 533)(135, 535)(136, 518)(137, 519)(138, 608)(139, 539)(140, 563)(141, 609)(142, 527)(143, 610)(144, 529)(145, 530)(146, 532)(147, 616)(148, 556)(149, 538)(150, 617)(151, 618)(152, 619)(153, 620)(154, 542)(155, 621)(156, 622)(157, 546)(158, 548)(159, 623)(160, 550)(161, 551)(162, 553)(163, 564)(164, 555)(165, 557)(166, 624)(167, 559)(168, 628)(169, 627)(170, 626)(171, 625)(172, 632)(173, 568)(174, 569)(175, 571)(176, 636)(177, 637)(178, 638)(179, 574)(180, 576)(181, 577)(182, 578)(183, 580)(184, 586)(185, 642)(186, 641)(187, 640)(188, 639)(189, 643)(190, 644)(191, 645)(192, 589)(193, 590)(194, 592)(195, 593)(196, 594)(197, 596)(198, 597)(199, 599)(200, 646)(201, 605)(202, 606)(203, 607)(204, 611)(205, 648)(206, 647)(207, 612)(208, 613)(209, 614)(210, 615)(211, 631)(212, 630)(213, 629)(214, 633)(215, 634)(216, 635)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.3063
Graph:: bipartite
	v = 54 e = 432 f = 324
	degree seq :: [ 12^36, 24^18 ]

E28.3061 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = (C2 x C2 x ((C3 x C3) : C3)) : C2 (small group id <216, 60>)
Aut   = $<432, 324>$ (small group id <432, 324>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, Y1^6, Y2^-1 * Y1^2 * Y2^-2 * Y1^2 * Y2^-1 * Y1^-2, Y1^2 * Y2^-1 * Y1 * Y2 * Y1^-2 * Y2 * Y1^-1 * Y2^-1, Y1^-1 * Y2^-4 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1^-1 * Y2^-2 * Y1 * Y2^-2 * Y1^-1 * Y2 * Y1^-1, Y1 * Y2^-1 * Y1^2 * Y2^-1 * Y1 * Y2^-1 * Y1^2 * Y2^-1 * Y1^2, Y2^4 * Y1^-1 * Y2 * Y1^-1 * Y2^2 * Y1^-1 * Y2 * Y1^-1, Y2^12 ]
Map::
	R = (1, 217, 2, 218, 6, 222, 16, 232, 13, 229, 4, 220)(3, 219, 9, 225, 23, 239, 55, 271, 29, 245, 11, 227)(5, 221, 14, 230, 34, 250, 49, 265, 20, 236, 7, 223)(8, 224, 21, 237, 50, 266, 99, 315, 42, 258, 17, 233)(10, 226, 25, 241, 60, 276, 91, 307, 66, 282, 27, 243)(12, 228, 30, 246, 71, 287, 151, 367, 77, 293, 32, 248)(15, 231, 37, 253, 86, 302, 94, 310, 83, 299, 35, 251)(18, 234, 43, 259, 100, 316, 170, 386, 92, 308, 39, 255)(19, 235, 45, 261, 105, 321, 78, 294, 111, 327, 47, 263)(22, 238, 53, 269, 122, 338, 72, 288, 119, 335, 51, 267)(24, 240, 58, 274, 101, 317, 44, 260, 103, 319, 56, 272)(26, 242, 62, 278, 137, 353, 173, 389, 142, 358, 64, 280)(28, 244, 67, 283, 146, 362, 169, 385, 150, 366, 69, 285)(31, 247, 73, 289, 97, 313, 41, 257, 95, 311, 75, 291)(33, 249, 40, 256, 93, 309, 171, 387, 139, 355, 79, 295)(36, 252, 84, 300, 126, 342, 172, 388, 159, 375, 80, 296)(38, 254, 89, 305, 166, 382, 168, 384, 135, 351, 87, 303)(46, 262, 107, 323, 192, 408, 154, 370, 195, 411, 109, 325)(48, 264, 112, 328, 197, 413, 140, 356, 63, 279, 114, 330)(52, 268, 120, 336, 188, 404, 153, 369, 200, 416, 116, 332)(54, 270, 125, 341, 207, 423, 158, 374, 190, 406, 123, 339)(57, 273, 129, 345, 90, 306, 102, 318, 183, 399, 127, 343)(59, 275, 133, 349, 176, 392, 96, 312, 175, 391, 131, 347)(61, 277, 118, 334, 201, 417, 130, 346, 179, 395, 134, 350)(65, 281, 143, 359, 205, 421, 124, 340, 184, 400, 145, 361)(68, 284, 110, 326, 196, 412, 128, 344, 186, 402, 148, 364)(70, 286, 115, 331, 81, 297, 117, 333, 181, 397, 152, 368)(74, 290, 156, 372, 185, 401, 104, 320, 187, 403, 149, 365)(76, 292, 108, 324, 180, 396, 98, 314, 178, 394, 144, 360)(82, 298, 160, 376, 199, 415, 113, 329, 177, 393, 155, 371)(85, 301, 162, 378, 189, 405, 106, 322, 182, 398, 132, 348)(88, 304, 121, 337, 203, 419, 157, 373, 174, 390, 164, 380)(136, 352, 191, 407, 213, 429, 209, 425, 161, 377, 202, 418)(138, 354, 193, 409, 165, 381, 206, 422, 216, 432, 212, 428)(141, 357, 194, 410, 214, 430, 211, 427, 167, 383, 208, 424)(147, 363, 198, 414, 215, 431, 210, 426, 163, 379, 204, 420)(433, 649, 435, 651, 442, 658, 458, 674, 495, 711, 571, 787, 613, 829, 532, 748, 522, 738, 470, 686, 447, 663, 437, 653)(434, 650, 439, 655, 451, 667, 478, 694, 540, 756, 509, 725, 584, 800, 603, 819, 558, 774, 486, 702, 454, 670, 440, 656)(436, 652, 444, 660, 463, 679, 506, 722, 582, 798, 602, 818, 549, 765, 482, 698, 548, 764, 491, 707, 456, 672, 441, 657)(438, 654, 449, 665, 473, 689, 528, 744, 499, 715, 461, 677, 502, 718, 583, 799, 620, 836, 536, 752, 476, 692, 450, 666)(443, 659, 460, 676, 500, 716, 579, 795, 616, 832, 534, 750, 475, 691, 533, 749, 614, 830, 568, 784, 493, 709, 457, 673)(445, 661, 465, 681, 510, 726, 590, 806, 610, 826, 531, 747, 513, 729, 466, 682, 512, 728, 586, 802, 504, 720, 462, 678)(446, 662, 467, 683, 514, 730, 593, 809, 628, 844, 543, 759, 511, 727, 572, 788, 635, 851, 595, 811, 517, 733, 468, 684)(448, 664, 471, 687, 523, 739, 600, 816, 544, 760, 481, 697, 547, 763, 487, 703, 559, 775, 605, 821, 526, 742, 472, 688)(452, 668, 480, 696, 545, 761, 630, 846, 580, 796, 604, 820, 525, 741, 518, 734, 596, 812, 623, 839, 538, 754, 477, 693)(453, 669, 483, 699, 550, 766, 634, 850, 587, 803, 505, 721, 464, 680, 508, 724, 577, 793, 636, 852, 553, 769, 484, 700)(455, 671, 488, 704, 560, 776, 641, 857, 575, 791, 498, 714, 524, 740, 601, 817, 594, 810, 642, 858, 562, 778, 489, 705)(459, 675, 497, 713, 576, 792, 639, 855, 599, 815, 521, 737, 561, 777, 633, 849, 551, 767, 624, 840, 570, 786, 494, 710)(469, 685, 519, 735, 597, 813, 607, 823, 529, 745, 609, 825, 546, 762, 496, 712, 573, 789, 619, 835, 552, 768, 520, 736)(474, 690, 530, 746, 611, 827, 647, 863, 631, 847, 585, 801, 503, 719, 554, 770, 637, 853, 645, 861, 606, 822, 527, 743)(479, 695, 542, 758, 501, 717, 581, 797, 640, 856, 557, 773, 516, 732, 564, 780, 490, 706, 563, 779, 625, 841, 539, 755)(485, 701, 555, 771, 638, 854, 567, 783, 492, 708, 566, 782, 612, 828, 541, 757, 626, 842, 574, 790, 615, 831, 556, 772)(507, 723, 589, 805, 629, 845, 598, 814, 643, 859, 565, 781, 632, 848, 592, 808, 515, 731, 569, 785, 644, 860, 588, 804)(535, 751, 617, 833, 648, 864, 622, 838, 537, 753, 621, 837, 578, 794, 608, 824, 646, 862, 627, 843, 591, 807, 618, 834)
	L = (1, 435)(2, 439)(3, 442)(4, 444)(5, 433)(6, 449)(7, 451)(8, 434)(9, 436)(10, 458)(11, 460)(12, 463)(13, 465)(14, 467)(15, 437)(16, 471)(17, 473)(18, 438)(19, 478)(20, 480)(21, 483)(22, 440)(23, 488)(24, 441)(25, 443)(26, 495)(27, 497)(28, 500)(29, 502)(30, 445)(31, 506)(32, 508)(33, 510)(34, 512)(35, 514)(36, 446)(37, 519)(38, 447)(39, 523)(40, 448)(41, 528)(42, 530)(43, 533)(44, 450)(45, 452)(46, 540)(47, 542)(48, 545)(49, 547)(50, 548)(51, 550)(52, 453)(53, 555)(54, 454)(55, 559)(56, 560)(57, 455)(58, 563)(59, 456)(60, 566)(61, 457)(62, 459)(63, 571)(64, 573)(65, 576)(66, 524)(67, 461)(68, 579)(69, 581)(70, 583)(71, 554)(72, 462)(73, 464)(74, 582)(75, 589)(76, 577)(77, 584)(78, 590)(79, 572)(80, 586)(81, 466)(82, 593)(83, 569)(84, 564)(85, 468)(86, 596)(87, 597)(88, 469)(89, 561)(90, 470)(91, 600)(92, 601)(93, 518)(94, 472)(95, 474)(96, 499)(97, 609)(98, 611)(99, 513)(100, 522)(101, 614)(102, 475)(103, 617)(104, 476)(105, 621)(106, 477)(107, 479)(108, 509)(109, 626)(110, 501)(111, 511)(112, 481)(113, 630)(114, 496)(115, 487)(116, 491)(117, 482)(118, 634)(119, 624)(120, 520)(121, 484)(122, 637)(123, 638)(124, 485)(125, 516)(126, 486)(127, 605)(128, 641)(129, 633)(130, 489)(131, 625)(132, 490)(133, 632)(134, 612)(135, 492)(136, 493)(137, 644)(138, 494)(139, 613)(140, 635)(141, 619)(142, 615)(143, 498)(144, 639)(145, 636)(146, 608)(147, 616)(148, 604)(149, 640)(150, 602)(151, 620)(152, 603)(153, 503)(154, 504)(155, 505)(156, 507)(157, 629)(158, 610)(159, 618)(160, 515)(161, 628)(162, 642)(163, 517)(164, 623)(165, 607)(166, 643)(167, 521)(168, 544)(169, 594)(170, 549)(171, 558)(172, 525)(173, 526)(174, 527)(175, 529)(176, 646)(177, 546)(178, 531)(179, 647)(180, 541)(181, 532)(182, 568)(183, 556)(184, 534)(185, 648)(186, 535)(187, 552)(188, 536)(189, 578)(190, 537)(191, 538)(192, 570)(193, 539)(194, 574)(195, 591)(196, 543)(197, 598)(198, 580)(199, 585)(200, 592)(201, 551)(202, 587)(203, 595)(204, 553)(205, 645)(206, 567)(207, 599)(208, 557)(209, 575)(210, 562)(211, 565)(212, 588)(213, 606)(214, 627)(215, 631)(216, 622)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.3064
Graph:: bipartite
	v = 54 e = 432 f = 324
	degree seq :: [ 12^36, 24^18 ]

E28.3062 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = (C4 x ((C3 x C3) : C3)) : C2 (small group id <216, 51>)
Aut   = $<432, 301>$ (small group id <432, 301>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^3 * Y2)^2, Y3^12, (Y2 * Y3)^6, Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^2 * Y2 * Y3 * Y2 * Y3^2 * Y2, (Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^12 ]
Map:: polytopal
	R = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)(433, 649, 434, 650)(435, 651, 439, 655)(436, 652, 441, 657)(437, 653, 443, 659)(438, 654, 445, 661)(440, 656, 449, 665)(442, 658, 453, 669)(444, 660, 457, 673)(446, 662, 461, 677)(447, 663, 463, 679)(448, 664, 465, 681)(450, 666, 462, 678)(451, 667, 470, 686)(452, 668, 472, 688)(454, 670, 458, 674)(455, 671, 475, 691)(456, 672, 477, 693)(459, 675, 482, 698)(460, 676, 484, 700)(464, 680, 489, 705)(466, 682, 492, 708)(467, 683, 494, 710)(468, 684, 495, 711)(469, 685, 493, 709)(471, 687, 500, 716)(473, 689, 504, 720)(474, 690, 501, 717)(476, 692, 509, 725)(478, 694, 512, 728)(479, 695, 514, 730)(480, 696, 515, 731)(481, 697, 513, 729)(483, 699, 520, 736)(485, 701, 524, 740)(486, 702, 521, 737)(487, 703, 523, 739)(488, 704, 528, 744)(490, 706, 532, 748)(491, 707, 534, 750)(496, 712, 541, 757)(497, 713, 542, 758)(498, 714, 544, 760)(499, 715, 545, 761)(502, 718, 550, 766)(503, 719, 507, 723)(505, 721, 552, 768)(506, 722, 553, 769)(508, 724, 555, 771)(510, 726, 559, 775)(511, 727, 561, 777)(516, 732, 568, 784)(517, 733, 569, 785)(518, 734, 571, 787)(519, 735, 572, 788)(522, 738, 577, 793)(525, 741, 579, 795)(526, 742, 580, 796)(527, 743, 581, 797)(529, 745, 567, 783)(530, 746, 557, 773)(531, 747, 584, 800)(533, 749, 585, 801)(535, 751, 575, 791)(536, 752, 586, 802)(537, 753, 588, 804)(538, 754, 565, 781)(539, 755, 591, 807)(540, 756, 556, 772)(543, 759, 570, 786)(546, 762, 595, 811)(547, 763, 582, 798)(548, 764, 562, 778)(549, 765, 596, 812)(551, 767, 598, 814)(554, 770, 601, 817)(558, 774, 604, 820)(560, 776, 605, 821)(563, 779, 606, 822)(564, 780, 608, 824)(566, 782, 611, 827)(573, 789, 615, 831)(574, 790, 602, 818)(576, 792, 616, 832)(578, 794, 618, 834)(583, 799, 607, 823)(587, 803, 603, 819)(589, 805, 627, 843)(590, 806, 628, 844)(592, 808, 619, 835)(593, 809, 625, 841)(594, 810, 629, 845)(597, 813, 632, 848)(599, 815, 612, 828)(600, 816, 631, 847)(609, 825, 639, 855)(610, 826, 640, 856)(613, 829, 637, 853)(614, 830, 641, 857)(617, 833, 644, 860)(620, 836, 643, 859)(621, 837, 635, 851)(622, 838, 636, 852)(623, 839, 633, 849)(624, 840, 634, 850)(626, 842, 638, 854)(630, 846, 642, 858)(645, 861, 648, 864)(646, 862, 647, 863)
	L = (1, 435)(2, 437)(3, 440)(4, 433)(5, 444)(6, 434)(7, 447)(8, 450)(9, 451)(10, 436)(11, 455)(12, 458)(13, 459)(14, 438)(15, 464)(16, 439)(17, 467)(18, 469)(19, 471)(20, 441)(21, 473)(22, 442)(23, 476)(24, 443)(25, 479)(26, 481)(27, 483)(28, 445)(29, 485)(30, 446)(31, 487)(32, 453)(33, 490)(34, 448)(35, 452)(36, 449)(37, 497)(38, 498)(39, 501)(40, 502)(41, 505)(42, 454)(43, 507)(44, 461)(45, 510)(46, 456)(47, 460)(48, 457)(49, 517)(50, 518)(51, 521)(52, 522)(53, 525)(54, 462)(55, 527)(56, 463)(57, 530)(58, 533)(59, 465)(60, 535)(61, 466)(62, 537)(63, 539)(64, 468)(65, 543)(66, 538)(67, 470)(68, 547)(69, 549)(70, 540)(71, 472)(72, 529)(73, 553)(74, 474)(75, 554)(76, 475)(77, 557)(78, 560)(79, 477)(80, 562)(81, 478)(82, 564)(83, 566)(84, 480)(85, 570)(86, 565)(87, 482)(88, 574)(89, 576)(90, 567)(91, 484)(92, 556)(93, 580)(94, 486)(95, 492)(96, 582)(97, 488)(98, 491)(99, 489)(100, 558)(101, 586)(102, 587)(103, 589)(104, 493)(105, 572)(106, 494)(107, 592)(108, 495)(109, 593)(110, 496)(111, 506)(112, 584)(113, 568)(114, 499)(115, 503)(116, 500)(117, 594)(118, 583)(119, 504)(120, 559)(121, 590)(122, 512)(123, 602)(124, 508)(125, 511)(126, 509)(127, 531)(128, 606)(129, 607)(130, 609)(131, 513)(132, 545)(133, 514)(134, 612)(135, 515)(136, 613)(137, 516)(138, 526)(139, 604)(140, 541)(141, 519)(142, 523)(143, 520)(144, 614)(145, 603)(146, 524)(147, 532)(148, 610)(149, 550)(150, 622)(151, 528)(152, 623)(153, 624)(154, 626)(155, 544)(156, 534)(157, 628)(158, 536)(159, 621)(160, 629)(161, 630)(162, 542)(163, 631)(164, 546)(165, 548)(166, 632)(167, 551)(168, 552)(169, 577)(170, 634)(171, 555)(172, 635)(173, 636)(174, 638)(175, 571)(176, 561)(177, 640)(178, 563)(179, 633)(180, 641)(181, 642)(182, 569)(183, 643)(184, 573)(185, 575)(186, 644)(187, 578)(188, 579)(189, 581)(190, 598)(191, 595)(192, 588)(193, 585)(194, 600)(195, 591)(196, 599)(197, 597)(198, 596)(199, 645)(200, 646)(201, 601)(202, 618)(203, 615)(204, 608)(205, 605)(206, 620)(207, 611)(208, 619)(209, 617)(210, 616)(211, 647)(212, 648)(213, 625)(214, 627)(215, 637)(216, 639)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 12, 24 ), ( 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.3059
Graph:: simple bipartite
	v = 324 e = 432 f = 54
	degree seq :: [ 2^216, 4^108 ]

E28.3063 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = (C2 x (((C3 x C3) : C3) : C2)) : C2 (small group id <216, 37>)
Aut   = $<432, 301>$ (small group id <432, 301>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^2 * Y2 * Y3^2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2, Y3^2 * Y2 * Y3 * Y2 * Y3^2 * Y2 * Y3^3 * Y2, (Y3 * Y2)^6, Y3 * Y2 * Y3^4 * Y2 * Y3 * Y2 * Y3^-2 * Y2, (Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2)^2, Y3^-4 * Y2 * Y3^6 * Y2 * Y3^-2, (Y3^-1 * Y1^-1)^12 ]
Map:: polytopal
	R = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)(433, 649, 434, 650)(435, 651, 439, 655)(436, 652, 441, 657)(437, 653, 443, 659)(438, 654, 445, 661)(440, 656, 449, 665)(442, 658, 453, 669)(444, 660, 457, 673)(446, 662, 461, 677)(447, 663, 463, 679)(448, 664, 465, 681)(450, 666, 469, 685)(451, 667, 471, 687)(452, 668, 473, 689)(454, 670, 477, 693)(455, 671, 479, 695)(456, 672, 481, 697)(458, 674, 485, 701)(459, 675, 487, 703)(460, 676, 489, 705)(462, 678, 493, 709)(464, 680, 497, 713)(466, 682, 501, 717)(467, 683, 503, 719)(468, 684, 505, 721)(470, 686, 509, 725)(472, 688, 513, 729)(474, 690, 517, 733)(475, 691, 519, 735)(476, 692, 521, 737)(478, 694, 525, 741)(480, 696, 529, 745)(482, 698, 533, 749)(483, 699, 535, 751)(484, 700, 537, 753)(486, 702, 541, 757)(488, 704, 545, 761)(490, 706, 549, 765)(491, 707, 551, 767)(492, 708, 553, 769)(494, 710, 557, 773)(495, 711, 548, 764)(496, 712, 532, 748)(498, 714, 562, 778)(499, 715, 544, 760)(500, 716, 528, 744)(502, 718, 566, 782)(504, 720, 536, 752)(506, 722, 552, 768)(507, 723, 571, 787)(508, 724, 572, 788)(510, 726, 575, 791)(511, 727, 547, 763)(512, 728, 531, 747)(514, 730, 578, 794)(515, 731, 543, 759)(516, 732, 527, 743)(518, 734, 559, 775)(520, 736, 538, 754)(522, 738, 554, 770)(523, 739, 582, 798)(524, 740, 560, 776)(526, 742, 585, 801)(530, 746, 589, 805)(534, 750, 593, 809)(539, 755, 598, 814)(540, 756, 599, 815)(542, 758, 602, 818)(546, 762, 605, 821)(550, 766, 586, 802)(555, 771, 609, 825)(556, 772, 587, 803)(558, 774, 612, 828)(561, 777, 592, 808)(563, 779, 607, 823)(564, 780, 595, 811)(565, 781, 588, 804)(567, 783, 608, 824)(568, 784, 591, 807)(569, 785, 604, 820)(570, 786, 606, 822)(573, 789, 611, 827)(574, 790, 610, 826)(576, 792, 603, 819)(577, 793, 596, 812)(579, 795, 597, 813)(580, 796, 590, 806)(581, 797, 594, 810)(583, 799, 601, 817)(584, 800, 600, 816)(613, 829, 629, 845)(614, 830, 628, 844)(615, 831, 633, 849)(616, 832, 642, 858)(617, 833, 641, 857)(618, 834, 630, 846)(619, 835, 645, 861)(620, 836, 635, 851)(621, 837, 640, 856)(622, 838, 643, 859)(623, 839, 638, 854)(624, 840, 644, 860)(625, 841, 636, 852)(626, 842, 632, 848)(627, 843, 631, 847)(634, 850, 648, 864)(637, 853, 646, 862)(639, 855, 647, 863)
	L = (1, 435)(2, 437)(3, 440)(4, 433)(5, 444)(6, 434)(7, 447)(8, 450)(9, 451)(10, 436)(11, 455)(12, 458)(13, 459)(14, 438)(15, 464)(16, 439)(17, 467)(18, 470)(19, 472)(20, 441)(21, 475)(22, 442)(23, 480)(24, 443)(25, 483)(26, 486)(27, 488)(28, 445)(29, 491)(30, 446)(31, 495)(32, 498)(33, 499)(34, 448)(35, 504)(36, 449)(37, 507)(38, 510)(39, 511)(40, 514)(41, 515)(42, 452)(43, 520)(44, 453)(45, 523)(46, 454)(47, 527)(48, 530)(49, 531)(50, 456)(51, 536)(52, 457)(53, 539)(54, 542)(55, 543)(56, 546)(57, 547)(58, 460)(59, 552)(60, 461)(61, 555)(62, 462)(63, 559)(64, 463)(65, 554)(66, 537)(67, 563)(68, 465)(69, 557)(70, 466)(71, 556)(72, 549)(73, 569)(74, 468)(75, 553)(76, 469)(77, 545)(78, 576)(79, 564)(80, 471)(81, 561)(82, 579)(83, 571)(84, 473)(85, 565)(86, 474)(87, 550)(88, 581)(89, 568)(90, 476)(91, 583)(92, 477)(93, 584)(94, 478)(95, 586)(96, 479)(97, 522)(98, 505)(99, 590)(100, 481)(101, 525)(102, 482)(103, 524)(104, 517)(105, 596)(106, 484)(107, 521)(108, 485)(109, 513)(110, 603)(111, 591)(112, 487)(113, 588)(114, 606)(115, 598)(116, 489)(117, 592)(118, 490)(119, 518)(120, 608)(121, 595)(122, 492)(123, 610)(124, 493)(125, 611)(126, 494)(127, 613)(128, 496)(129, 497)(130, 516)(131, 616)(132, 500)(133, 501)(134, 617)(135, 502)(136, 503)(137, 612)(138, 506)(139, 618)(140, 621)(141, 508)(142, 509)(143, 607)(144, 526)(145, 512)(146, 614)(147, 624)(148, 519)(149, 623)(150, 615)(151, 622)(152, 620)(153, 619)(154, 628)(155, 528)(156, 529)(157, 548)(158, 631)(159, 532)(160, 533)(161, 632)(162, 534)(163, 535)(164, 585)(165, 538)(166, 633)(167, 636)(168, 540)(169, 541)(170, 580)(171, 558)(172, 544)(173, 629)(174, 639)(175, 551)(176, 638)(177, 630)(178, 637)(179, 635)(180, 634)(181, 572)(182, 560)(183, 562)(184, 643)(185, 644)(186, 566)(187, 567)(188, 570)(189, 645)(190, 573)(191, 574)(192, 575)(193, 577)(194, 578)(195, 582)(196, 599)(197, 587)(198, 589)(199, 646)(200, 647)(201, 593)(202, 594)(203, 597)(204, 648)(205, 600)(206, 601)(207, 602)(208, 604)(209, 605)(210, 609)(211, 625)(212, 627)(213, 626)(214, 640)(215, 642)(216, 641)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 12, 24 ), ( 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.3060
Graph:: simple bipartite
	v = 324 e = 432 f = 54
	degree seq :: [ 2^216, 4^108 ]

E28.3064 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = (C2 x C2 x ((C3 x C3) : C3)) : C2 (small group id <216, 60>)
Aut   = $<432, 324>$ (small group id <432, 324>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^2 * Y2 * Y3^2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2, Y3^-1 * Y2 * Y3^3 * Y2 * Y3^-2 * Y2 * Y3 * Y2 * Y3^-1, (Y3 * Y2)^6, Y3^-2 * Y2 * Y3 * Y2 * Y3^2 * Y2 * Y3 * Y2 * Y3^-2, (Y3^-1 * Y1^-1)^12 ]
Map:: polytopal
	R = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)(433, 649, 434, 650)(435, 651, 439, 655)(436, 652, 441, 657)(437, 653, 443, 659)(438, 654, 445, 661)(440, 656, 449, 665)(442, 658, 453, 669)(444, 660, 457, 673)(446, 662, 461, 677)(447, 663, 463, 679)(448, 664, 465, 681)(450, 666, 469, 685)(451, 667, 471, 687)(452, 668, 473, 689)(454, 670, 477, 693)(455, 671, 479, 695)(456, 672, 481, 697)(458, 674, 485, 701)(459, 675, 487, 703)(460, 676, 489, 705)(462, 678, 493, 709)(464, 680, 497, 713)(466, 682, 501, 717)(467, 683, 503, 719)(468, 684, 505, 721)(470, 686, 509, 725)(472, 688, 513, 729)(474, 690, 517, 733)(475, 691, 519, 735)(476, 692, 521, 737)(478, 694, 525, 741)(480, 696, 529, 745)(482, 698, 533, 749)(483, 699, 535, 751)(484, 700, 537, 753)(486, 702, 541, 757)(488, 704, 545, 761)(490, 706, 549, 765)(491, 707, 551, 767)(492, 708, 553, 769)(494, 710, 557, 773)(495, 711, 548, 764)(496, 712, 560, 776)(498, 714, 563, 779)(499, 715, 565, 781)(500, 716, 567, 783)(502, 718, 570, 786)(504, 720, 536, 752)(506, 722, 552, 768)(507, 723, 574, 790)(508, 724, 576, 792)(510, 726, 578, 794)(511, 727, 580, 796)(512, 728, 581, 797)(514, 730, 566, 782)(515, 731, 582, 798)(516, 732, 527, 743)(518, 734, 584, 800)(520, 736, 538, 754)(522, 738, 554, 770)(523, 739, 568, 784)(524, 740, 588, 804)(526, 742, 591, 807)(528, 744, 593, 809)(530, 746, 596, 812)(531, 747, 598, 814)(532, 748, 600, 816)(534, 750, 603, 819)(539, 755, 607, 823)(540, 756, 609, 825)(542, 758, 611, 827)(543, 759, 613, 829)(544, 760, 614, 830)(546, 762, 599, 815)(547, 763, 615, 831)(550, 766, 617, 833)(555, 771, 601, 817)(556, 772, 621, 837)(558, 774, 624, 840)(559, 775, 604, 820)(561, 777, 606, 822)(562, 778, 595, 811)(564, 780, 605, 821)(569, 785, 602, 818)(571, 787, 592, 808)(572, 788, 597, 813)(573, 789, 594, 810)(575, 791, 610, 826)(577, 793, 608, 824)(579, 795, 612, 828)(583, 799, 619, 835)(585, 801, 620, 836)(586, 802, 616, 832)(587, 803, 618, 834)(589, 805, 623, 839)(590, 806, 622, 838)(625, 841, 648, 864)(626, 842, 643, 859)(627, 843, 640, 856)(628, 844, 639, 855)(629, 845, 644, 860)(630, 846, 646, 862)(631, 847, 638, 854)(632, 848, 641, 857)(633, 849, 647, 863)(634, 850, 642, 858)(635, 851, 645, 861)(636, 852, 637, 853)
	L = (1, 435)(2, 437)(3, 440)(4, 433)(5, 444)(6, 434)(7, 447)(8, 450)(9, 451)(10, 436)(11, 455)(12, 458)(13, 459)(14, 438)(15, 464)(16, 439)(17, 467)(18, 470)(19, 472)(20, 441)(21, 475)(22, 442)(23, 480)(24, 443)(25, 483)(26, 486)(27, 488)(28, 445)(29, 491)(30, 446)(31, 495)(32, 498)(33, 499)(34, 448)(35, 504)(36, 449)(37, 507)(38, 510)(39, 511)(40, 514)(41, 515)(42, 452)(43, 520)(44, 453)(45, 523)(46, 454)(47, 527)(48, 530)(49, 531)(50, 456)(51, 536)(52, 457)(53, 539)(54, 542)(55, 543)(56, 546)(57, 547)(58, 460)(59, 552)(60, 461)(61, 555)(62, 462)(63, 559)(64, 463)(65, 541)(66, 564)(67, 566)(68, 465)(69, 538)(70, 466)(71, 571)(72, 572)(73, 540)(74, 468)(75, 575)(76, 469)(77, 577)(78, 579)(79, 576)(80, 471)(81, 562)(82, 535)(83, 561)(84, 473)(85, 569)(86, 474)(87, 573)(88, 545)(89, 534)(90, 476)(91, 551)(92, 477)(93, 549)(94, 478)(95, 592)(96, 479)(97, 509)(98, 597)(99, 599)(100, 481)(101, 506)(102, 482)(103, 604)(104, 605)(105, 508)(106, 484)(107, 608)(108, 485)(109, 610)(110, 612)(111, 609)(112, 487)(113, 595)(114, 503)(115, 594)(116, 489)(117, 602)(118, 490)(119, 606)(120, 513)(121, 502)(122, 492)(123, 519)(124, 493)(125, 517)(126, 494)(127, 600)(128, 621)(129, 496)(130, 497)(131, 614)(132, 627)(133, 617)(134, 629)(135, 630)(136, 500)(137, 501)(138, 512)(139, 611)(140, 633)(141, 505)(142, 615)(143, 634)(144, 626)(145, 635)(146, 636)(147, 526)(148, 616)(149, 625)(150, 628)(151, 516)(152, 631)(153, 518)(154, 521)(155, 522)(156, 632)(157, 524)(158, 525)(159, 619)(160, 567)(161, 588)(162, 528)(163, 529)(164, 581)(165, 639)(166, 584)(167, 641)(168, 642)(169, 532)(170, 533)(171, 544)(172, 578)(173, 645)(174, 537)(175, 582)(176, 646)(177, 638)(178, 647)(179, 648)(180, 558)(181, 583)(182, 637)(183, 640)(184, 548)(185, 643)(186, 550)(187, 553)(188, 554)(189, 644)(190, 556)(191, 557)(192, 586)(193, 560)(194, 563)(195, 591)(196, 565)(197, 574)(198, 580)(199, 568)(200, 570)(201, 590)(202, 589)(203, 587)(204, 585)(205, 593)(206, 596)(207, 624)(208, 598)(209, 607)(210, 613)(211, 601)(212, 603)(213, 623)(214, 622)(215, 620)(216, 618)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 12, 24 ), ( 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.3061
Graph:: simple bipartite
	v = 324 e = 432 f = 54
	degree seq :: [ 2^216, 4^108 ]

E28.3065 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = (C4 x ((C3 x C3) : C3)) : C2 (small group id <216, 51>)
Aut   = $<432, 301>$ (small group id <432, 301>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (Y1^-1 * Y3 * Y1^-2)^2, Y1^12, (Y3 * Y1)^6, Y3 * Y1 * Y3 * Y1^2 * Y3 * Y1 * Y3 * Y1^2 * Y3 * Y1 * Y3 * Y1^-1, (Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-2)^2 ]
Map:: polytopal
	R = (1, 217, 2, 218, 5, 221, 11, 227, 23, 239, 43, 259, 75, 291, 74, 290, 42, 258, 22, 238, 10, 226, 4, 220)(3, 219, 7, 223, 15, 231, 31, 247, 55, 271, 95, 311, 122, 338, 79, 295, 45, 261, 24, 240, 18, 234, 8, 224)(6, 222, 13, 229, 27, 243, 21, 237, 41, 257, 72, 288, 119, 335, 125, 341, 77, 293, 44, 260, 30, 246, 14, 230)(9, 225, 19, 235, 38, 254, 66, 282, 112, 328, 123, 339, 76, 292, 48, 264, 26, 242, 12, 228, 25, 241, 20, 236)(16, 232, 33, 249, 58, 274, 37, 253, 65, 281, 110, 326, 127, 343, 174, 390, 150, 366, 96, 312, 61, 277, 34, 250)(17, 233, 35, 251, 62, 278, 78, 294, 126, 342, 172, 388, 149, 365, 99, 315, 57, 273, 32, 248, 56, 272, 36, 252)(28, 244, 50, 266, 87, 303, 54, 270, 94, 310, 147, 363, 171, 387, 168, 384, 121, 337, 73, 289, 90, 306, 51, 267)(29, 245, 52, 268, 91, 307, 124, 340, 170, 386, 166, 382, 120, 336, 137, 353, 86, 302, 49, 265, 85, 301, 53, 269)(39, 255, 68, 284, 81, 297, 46, 262, 80, 296, 128, 344, 84, 300, 134, 350, 179, 395, 163, 379, 117, 333, 69, 285)(40, 256, 70, 286, 83, 299, 47, 263, 82, 298, 131, 347, 169, 385, 164, 380, 114, 330, 67, 283, 113, 329, 71, 287)(59, 275, 101, 317, 154, 370, 105, 321, 158, 374, 196, 412, 204, 420, 176, 392, 162, 378, 111, 327, 133, 349, 102, 318)(60, 276, 103, 319, 156, 372, 189, 405, 201, 417, 186, 402, 145, 361, 92, 308, 144, 360, 100, 316, 135, 351, 104, 320)(63, 279, 107, 323, 130, 346, 97, 313, 151, 367, 116, 332, 153, 369, 193, 409, 203, 419, 173, 389, 160, 376, 108, 324)(64, 280, 109, 325, 142, 358, 98, 314, 152, 368, 191, 407, 202, 418, 188, 404, 148, 364, 106, 322, 139, 355, 88, 304)(89, 305, 140, 356, 183, 399, 167, 383, 199, 415, 207, 423, 178, 394, 132, 348, 177, 393, 138, 354, 118, 334, 141, 357)(93, 309, 146, 362, 115, 331, 136, 352, 181, 397, 165, 381, 200, 416, 208, 424, 180, 396, 143, 359, 175, 391, 129, 345)(155, 371, 182, 398, 205, 421, 198, 414, 212, 428, 216, 432, 213, 429, 192, 408, 209, 425, 194, 410, 161, 377, 187, 403)(157, 373, 184, 400, 159, 375, 185, 401, 206, 422, 197, 413, 211, 427, 215, 431, 214, 430, 195, 411, 210, 426, 190, 406)(433, 649)(434, 650)(435, 651)(436, 652)(437, 653)(438, 654)(439, 655)(440, 656)(441, 657)(442, 658)(443, 659)(444, 660)(445, 661)(446, 662)(447, 663)(448, 664)(449, 665)(450, 666)(451, 667)(452, 668)(453, 669)(454, 670)(455, 671)(456, 672)(457, 673)(458, 674)(459, 675)(460, 676)(461, 677)(462, 678)(463, 679)(464, 680)(465, 681)(466, 682)(467, 683)(468, 684)(469, 685)(470, 686)(471, 687)(472, 688)(473, 689)(474, 690)(475, 691)(476, 692)(477, 693)(478, 694)(479, 695)(480, 696)(481, 697)(482, 698)(483, 699)(484, 700)(485, 701)(486, 702)(487, 703)(488, 704)(489, 705)(490, 706)(491, 707)(492, 708)(493, 709)(494, 710)(495, 711)(496, 712)(497, 713)(498, 714)(499, 715)(500, 716)(501, 717)(502, 718)(503, 719)(504, 720)(505, 721)(506, 722)(507, 723)(508, 724)(509, 725)(510, 726)(511, 727)(512, 728)(513, 729)(514, 730)(515, 731)(516, 732)(517, 733)(518, 734)(519, 735)(520, 736)(521, 737)(522, 738)(523, 739)(524, 740)(525, 741)(526, 742)(527, 743)(528, 744)(529, 745)(530, 746)(531, 747)(532, 748)(533, 749)(534, 750)(535, 751)(536, 752)(537, 753)(538, 754)(539, 755)(540, 756)(541, 757)(542, 758)(543, 759)(544, 760)(545, 761)(546, 762)(547, 763)(548, 764)(549, 765)(550, 766)(551, 767)(552, 768)(553, 769)(554, 770)(555, 771)(556, 772)(557, 773)(558, 774)(559, 775)(560, 776)(561, 777)(562, 778)(563, 779)(564, 780)(565, 781)(566, 782)(567, 783)(568, 784)(569, 785)(570, 786)(571, 787)(572, 788)(573, 789)(574, 790)(575, 791)(576, 792)(577, 793)(578, 794)(579, 795)(580, 796)(581, 797)(582, 798)(583, 799)(584, 800)(585, 801)(586, 802)(587, 803)(588, 804)(589, 805)(590, 806)(591, 807)(592, 808)(593, 809)(594, 810)(595, 811)(596, 812)(597, 813)(598, 814)(599, 815)(600, 816)(601, 817)(602, 818)(603, 819)(604, 820)(605, 821)(606, 822)(607, 823)(608, 824)(609, 825)(610, 826)(611, 827)(612, 828)(613, 829)(614, 830)(615, 831)(616, 832)(617, 833)(618, 834)(619, 835)(620, 836)(621, 837)(622, 838)(623, 839)(624, 840)(625, 841)(626, 842)(627, 843)(628, 844)(629, 845)(630, 846)(631, 847)(632, 848)(633, 849)(634, 850)(635, 851)(636, 852)(637, 853)(638, 854)(639, 855)(640, 856)(641, 857)(642, 858)(643, 859)(644, 860)(645, 861)(646, 862)(647, 863)(648, 864)
	L = (1, 435)(2, 438)(3, 433)(4, 441)(5, 444)(6, 434)(7, 448)(8, 449)(9, 436)(10, 453)(11, 456)(12, 437)(13, 460)(14, 461)(15, 464)(16, 439)(17, 440)(18, 469)(19, 471)(20, 472)(21, 442)(22, 463)(23, 476)(24, 443)(25, 478)(26, 479)(27, 481)(28, 445)(29, 446)(30, 486)(31, 454)(32, 447)(33, 491)(34, 492)(35, 495)(36, 496)(37, 450)(38, 499)(39, 451)(40, 452)(41, 505)(42, 498)(43, 508)(44, 455)(45, 510)(46, 457)(47, 458)(48, 516)(49, 459)(50, 520)(51, 521)(52, 524)(53, 525)(54, 462)(55, 528)(56, 529)(57, 530)(58, 532)(59, 465)(60, 466)(61, 537)(62, 538)(63, 467)(64, 468)(65, 543)(66, 474)(67, 470)(68, 547)(69, 548)(70, 550)(71, 533)(72, 552)(73, 473)(74, 551)(75, 554)(76, 475)(77, 556)(78, 477)(79, 559)(80, 561)(81, 562)(82, 564)(83, 565)(84, 480)(85, 567)(86, 568)(87, 570)(88, 482)(89, 483)(90, 574)(91, 575)(92, 484)(93, 485)(94, 580)(95, 581)(96, 487)(97, 488)(98, 489)(99, 585)(100, 490)(101, 503)(102, 587)(103, 569)(104, 589)(105, 493)(106, 494)(107, 591)(108, 560)(109, 593)(110, 577)(111, 497)(112, 595)(113, 572)(114, 590)(115, 500)(116, 501)(117, 597)(118, 502)(119, 506)(120, 504)(121, 599)(122, 507)(123, 601)(124, 509)(125, 603)(126, 605)(127, 511)(128, 540)(129, 512)(130, 513)(131, 608)(132, 514)(133, 515)(134, 612)(135, 517)(136, 518)(137, 535)(138, 519)(139, 614)(140, 545)(141, 616)(142, 522)(143, 523)(144, 617)(145, 542)(146, 619)(147, 610)(148, 526)(149, 527)(150, 621)(151, 622)(152, 624)(153, 531)(154, 626)(155, 534)(156, 627)(157, 536)(158, 546)(159, 539)(160, 629)(161, 541)(162, 630)(163, 544)(164, 631)(165, 549)(166, 632)(167, 553)(168, 623)(169, 555)(170, 633)(171, 557)(172, 634)(173, 558)(174, 636)(175, 637)(176, 563)(177, 638)(178, 579)(179, 635)(180, 566)(181, 641)(182, 571)(183, 642)(184, 573)(185, 576)(186, 643)(187, 578)(188, 644)(189, 582)(190, 583)(191, 600)(192, 584)(193, 646)(194, 586)(195, 588)(196, 645)(197, 592)(198, 594)(199, 596)(200, 598)(201, 602)(202, 604)(203, 611)(204, 606)(205, 607)(206, 609)(207, 647)(208, 648)(209, 613)(210, 615)(211, 618)(212, 620)(213, 628)(214, 625)(215, 639)(216, 640)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3056
Graph:: simple bipartite
	v = 234 e = 432 f = 144
	degree seq :: [ 2^216, 24^18 ]

E28.3066 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = (C2 x (((C3 x C3) : C3) : C2)) : C2 (small group id <216, 37>)
Aut   = $<432, 301>$ (small group id <432, 301>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y3 * Y1^-1 * Y3 * Y1^-2 * Y3 * Y1^-3 * Y3 * Y1^-2, (Y3 * Y1^-1)^6, Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^-2 * Y3 * Y1^-2, Y3 * Y1^2 * Y3 * Y1^-1 * Y3 * Y1^-4 * Y3 * Y1^-1, (Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1)^2, Y1^12, (Y1^-5 * Y3 * Y1^-1)^2 ]
Map:: polytopal
	R = (1, 217, 2, 218, 5, 221, 11, 227, 23, 239, 47, 263, 95, 311, 94, 310, 46, 262, 22, 238, 10, 226, 4, 220)(3, 219, 7, 223, 15, 231, 31, 247, 63, 279, 127, 343, 154, 370, 144, 360, 78, 294, 38, 254, 18, 234, 8, 224)(6, 222, 13, 229, 27, 243, 55, 271, 111, 327, 175, 391, 153, 369, 180, 396, 126, 342, 62, 278, 30, 246, 14, 230)(9, 225, 19, 235, 39, 255, 79, 295, 145, 361, 156, 372, 96, 312, 155, 371, 142, 358, 86, 302, 42, 258, 20, 236)(12, 228, 25, 241, 51, 267, 103, 319, 166, 382, 136, 352, 93, 309, 152, 368, 174, 390, 110, 326, 54, 270, 26, 242)(16, 232, 33, 249, 67, 283, 108, 324, 53, 269, 107, 323, 169, 385, 205, 421, 190, 406, 137, 353, 70, 286, 34, 250)(17, 233, 35, 251, 71, 287, 138, 354, 173, 389, 206, 422, 181, 397, 149, 365, 88, 304, 141, 357, 74, 290, 36, 252)(21, 237, 43, 259, 87, 303, 148, 364, 159, 375, 98, 314, 48, 264, 97, 313, 157, 373, 133, 349, 90, 306, 44, 260)(24, 240, 49, 265, 99, 315, 160, 376, 131, 347, 92, 308, 45, 261, 91, 307, 150, 366, 165, 381, 102, 318, 50, 266)(28, 244, 57, 273, 115, 331, 163, 379, 101, 317, 162, 378, 200, 416, 193, 409, 146, 362, 177, 393, 118, 334, 58, 274)(29, 245, 59, 275, 119, 335, 178, 394, 204, 420, 194, 410, 147, 363, 82, 298, 40, 256, 81, 297, 122, 338, 60, 276)(32, 248, 65, 281, 104, 320, 85, 301, 124, 340, 61, 277, 123, 339, 164, 380, 203, 419, 186, 402, 132, 348, 66, 282)(37, 253, 75, 291, 109, 325, 172, 388, 198, 414, 182, 398, 128, 344, 80, 296, 114, 330, 56, 272, 113, 329, 76, 292)(41, 257, 83, 299, 100, 316, 161, 377, 125, 341, 179, 395, 196, 412, 195, 411, 151, 367, 176, 392, 112, 328, 84, 300)(52, 268, 105, 321, 77, 293, 143, 359, 158, 374, 197, 413, 185, 401, 130, 346, 64, 280, 129, 345, 89, 305, 106, 322)(68, 284, 134, 350, 187, 403, 208, 424, 184, 400, 211, 427, 215, 431, 210, 426, 191, 407, 202, 418, 167, 383, 121, 337)(69, 285, 135, 351, 188, 404, 212, 428, 214, 430, 201, 417, 170, 386, 120, 336, 72, 288, 139, 355, 168, 384, 117, 333)(73, 289, 140, 356, 183, 399, 207, 423, 189, 405, 213, 429, 216, 432, 209, 425, 192, 408, 199, 415, 171, 387, 116, 332)(433, 649)(434, 650)(435, 651)(436, 652)(437, 653)(438, 654)(439, 655)(440, 656)(441, 657)(442, 658)(443, 659)(444, 660)(445, 661)(446, 662)(447, 663)(448, 664)(449, 665)(450, 666)(451, 667)(452, 668)(453, 669)(454, 670)(455, 671)(456, 672)(457, 673)(458, 674)(459, 675)(460, 676)(461, 677)(462, 678)(463, 679)(464, 680)(465, 681)(466, 682)(467, 683)(468, 684)(469, 685)(470, 686)(471, 687)(472, 688)(473, 689)(474, 690)(475, 691)(476, 692)(477, 693)(478, 694)(479, 695)(480, 696)(481, 697)(482, 698)(483, 699)(484, 700)(485, 701)(486, 702)(487, 703)(488, 704)(489, 705)(490, 706)(491, 707)(492, 708)(493, 709)(494, 710)(495, 711)(496, 712)(497, 713)(498, 714)(499, 715)(500, 716)(501, 717)(502, 718)(503, 719)(504, 720)(505, 721)(506, 722)(507, 723)(508, 724)(509, 725)(510, 726)(511, 727)(512, 728)(513, 729)(514, 730)(515, 731)(516, 732)(517, 733)(518, 734)(519, 735)(520, 736)(521, 737)(522, 738)(523, 739)(524, 740)(525, 741)(526, 742)(527, 743)(528, 744)(529, 745)(530, 746)(531, 747)(532, 748)(533, 749)(534, 750)(535, 751)(536, 752)(537, 753)(538, 754)(539, 755)(540, 756)(541, 757)(542, 758)(543, 759)(544, 760)(545, 761)(546, 762)(547, 763)(548, 764)(549, 765)(550, 766)(551, 767)(552, 768)(553, 769)(554, 770)(555, 771)(556, 772)(557, 773)(558, 774)(559, 775)(560, 776)(561, 777)(562, 778)(563, 779)(564, 780)(565, 781)(566, 782)(567, 783)(568, 784)(569, 785)(570, 786)(571, 787)(572, 788)(573, 789)(574, 790)(575, 791)(576, 792)(577, 793)(578, 794)(579, 795)(580, 796)(581, 797)(582, 798)(583, 799)(584, 800)(585, 801)(586, 802)(587, 803)(588, 804)(589, 805)(590, 806)(591, 807)(592, 808)(593, 809)(594, 810)(595, 811)(596, 812)(597, 813)(598, 814)(599, 815)(600, 816)(601, 817)(602, 818)(603, 819)(604, 820)(605, 821)(606, 822)(607, 823)(608, 824)(609, 825)(610, 826)(611, 827)(612, 828)(613, 829)(614, 830)(615, 831)(616, 832)(617, 833)(618, 834)(619, 835)(620, 836)(621, 837)(622, 838)(623, 839)(624, 840)(625, 841)(626, 842)(627, 843)(628, 844)(629, 845)(630, 846)(631, 847)(632, 848)(633, 849)(634, 850)(635, 851)(636, 852)(637, 853)(638, 854)(639, 855)(640, 856)(641, 857)(642, 858)(643, 859)(644, 860)(645, 861)(646, 862)(647, 863)(648, 864)
	L = (1, 435)(2, 438)(3, 433)(4, 441)(5, 444)(6, 434)(7, 448)(8, 449)(9, 436)(10, 453)(11, 456)(12, 437)(13, 460)(14, 461)(15, 464)(16, 439)(17, 440)(18, 469)(19, 472)(20, 473)(21, 442)(22, 477)(23, 480)(24, 443)(25, 484)(26, 485)(27, 488)(28, 445)(29, 446)(30, 493)(31, 496)(32, 447)(33, 500)(34, 501)(35, 504)(36, 505)(37, 450)(38, 509)(39, 512)(40, 451)(41, 452)(42, 517)(43, 520)(44, 521)(45, 454)(46, 525)(47, 528)(48, 455)(49, 532)(50, 533)(51, 536)(52, 457)(53, 458)(54, 541)(55, 544)(56, 459)(57, 548)(58, 549)(59, 552)(60, 553)(61, 462)(62, 557)(63, 560)(64, 463)(65, 563)(66, 543)(67, 565)(68, 465)(69, 466)(70, 568)(71, 529)(72, 467)(73, 468)(74, 535)(75, 574)(76, 531)(77, 470)(78, 555)(79, 578)(80, 471)(81, 572)(82, 567)(83, 571)(84, 566)(85, 474)(86, 547)(87, 564)(88, 475)(89, 476)(90, 545)(91, 583)(92, 550)(93, 478)(94, 585)(95, 586)(96, 479)(97, 503)(98, 590)(99, 508)(100, 481)(101, 482)(102, 596)(103, 506)(104, 483)(105, 599)(106, 600)(107, 602)(108, 603)(109, 486)(110, 605)(111, 498)(112, 487)(113, 522)(114, 598)(115, 518)(116, 489)(117, 490)(118, 524)(119, 587)(120, 491)(121, 492)(122, 592)(123, 510)(124, 589)(125, 494)(126, 604)(127, 613)(128, 495)(129, 615)(130, 616)(131, 497)(132, 519)(133, 499)(134, 516)(135, 514)(136, 502)(137, 621)(138, 623)(139, 515)(140, 513)(141, 619)(142, 507)(143, 624)(144, 601)(145, 618)(146, 511)(147, 607)(148, 622)(149, 620)(150, 614)(151, 523)(152, 617)(153, 526)(154, 527)(155, 551)(156, 628)(157, 556)(158, 530)(159, 630)(160, 554)(161, 631)(162, 633)(163, 634)(164, 534)(165, 636)(166, 546)(167, 537)(168, 538)(169, 576)(170, 539)(171, 540)(172, 558)(173, 542)(174, 635)(175, 579)(176, 639)(177, 640)(178, 641)(179, 642)(180, 632)(181, 559)(182, 582)(183, 561)(184, 562)(185, 584)(186, 577)(187, 573)(188, 581)(189, 569)(190, 580)(191, 570)(192, 575)(193, 645)(194, 643)(195, 644)(196, 588)(197, 646)(198, 591)(199, 593)(200, 612)(201, 594)(202, 595)(203, 606)(204, 597)(205, 647)(206, 648)(207, 608)(208, 609)(209, 610)(210, 611)(211, 626)(212, 627)(213, 625)(214, 629)(215, 637)(216, 638)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3057
Graph:: simple bipartite
	v = 234 e = 432 f = 144
	degree seq :: [ 2^216, 24^18 ]

E28.3067 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = (C2 x C2 x ((C3 x C3) : C3)) : C2 (small group id <216, 60>)
Aut   = $<432, 324>$ (small group id <432, 324>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, Y3 * Y1 * Y3 * Y1^-2 * Y3 * Y1^3 * Y3 * Y1^-2, Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^-2 * Y3 * Y1^-2, Y3 * Y1^4 * Y3 * Y1^-1 * Y3 * Y1^-2 * Y3 * Y1^-1, Y1^12, (Y3 * Y1^-1)^6, (Y3 * Y1^-6)^2, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-2 ]
Map:: polytopal
	R = (1, 217, 2, 218, 5, 221, 11, 227, 23, 239, 47, 263, 95, 311, 94, 310, 46, 262, 22, 238, 10, 226, 4, 220)(3, 219, 7, 223, 15, 231, 31, 247, 63, 279, 127, 343, 160, 376, 147, 363, 78, 294, 38, 254, 18, 234, 8, 224)(6, 222, 13, 229, 27, 243, 55, 271, 111, 327, 181, 397, 159, 375, 192, 408, 126, 342, 62, 278, 30, 246, 14, 230)(9, 225, 19, 235, 39, 255, 79, 295, 129, 345, 162, 378, 96, 312, 161, 377, 153, 369, 86, 302, 42, 258, 20, 236)(12, 228, 25, 241, 51, 267, 103, 319, 172, 388, 158, 374, 93, 309, 140, 356, 180, 396, 110, 326, 54, 270, 26, 242)(16, 232, 33, 249, 67, 283, 130, 346, 173, 389, 213, 429, 204, 420, 154, 370, 89, 305, 135, 351, 70, 286, 34, 250)(17, 233, 35, 251, 71, 287, 106, 322, 52, 268, 105, 321, 175, 391, 214, 430, 200, 416, 141, 357, 74, 290, 36, 252)(21, 237, 43, 259, 87, 303, 136, 352, 165, 381, 98, 314, 48, 264, 97, 313, 163, 379, 155, 371, 90, 306, 44, 260)(24, 240, 49, 265, 99, 315, 166, 382, 157, 373, 92, 308, 45, 261, 91, 307, 142, 358, 171, 387, 102, 318, 50, 266)(28, 244, 57, 273, 115, 331, 183, 399, 208, 424, 199, 415, 151, 367, 84, 300, 41, 257, 83, 299, 118, 334, 58, 274)(29, 245, 59, 275, 119, 335, 169, 385, 100, 316, 168, 384, 210, 426, 196, 412, 152, 368, 190, 406, 122, 338, 60, 276)(32, 248, 65, 281, 104, 320, 174, 390, 206, 422, 203, 419, 146, 362, 85, 301, 124, 340, 61, 277, 123, 339, 66, 282)(37, 253, 75, 291, 109, 325, 80, 296, 114, 330, 56, 272, 113, 329, 167, 383, 209, 425, 201, 417, 143, 359, 76, 292)(40, 256, 81, 297, 101, 317, 170, 386, 112, 328, 182, 398, 205, 421, 195, 411, 156, 372, 191, 407, 125, 341, 82, 298)(53, 269, 107, 323, 64, 280, 128, 344, 164, 380, 207, 423, 202, 418, 145, 361, 77, 293, 144, 360, 88, 304, 108, 324)(68, 284, 131, 347, 176, 392, 121, 337, 189, 405, 148, 364, 184, 400, 116, 332, 73, 289, 139, 355, 179, 395, 132, 348)(69, 285, 133, 349, 177, 393, 215, 431, 193, 409, 150, 366, 188, 404, 120, 336, 187, 403, 212, 428, 197, 413, 134, 350)(72, 288, 137, 353, 178, 394, 216, 432, 194, 410, 149, 365, 186, 402, 117, 333, 185, 401, 211, 427, 198, 414, 138, 354)(433, 649)(434, 650)(435, 651)(436, 652)(437, 653)(438, 654)(439, 655)(440, 656)(441, 657)(442, 658)(443, 659)(444, 660)(445, 661)(446, 662)(447, 663)(448, 664)(449, 665)(450, 666)(451, 667)(452, 668)(453, 669)(454, 670)(455, 671)(456, 672)(457, 673)(458, 674)(459, 675)(460, 676)(461, 677)(462, 678)(463, 679)(464, 680)(465, 681)(466, 682)(467, 683)(468, 684)(469, 685)(470, 686)(471, 687)(472, 688)(473, 689)(474, 690)(475, 691)(476, 692)(477, 693)(478, 694)(479, 695)(480, 696)(481, 697)(482, 698)(483, 699)(484, 700)(485, 701)(486, 702)(487, 703)(488, 704)(489, 705)(490, 706)(491, 707)(492, 708)(493, 709)(494, 710)(495, 711)(496, 712)(497, 713)(498, 714)(499, 715)(500, 716)(501, 717)(502, 718)(503, 719)(504, 720)(505, 721)(506, 722)(507, 723)(508, 724)(509, 725)(510, 726)(511, 727)(512, 728)(513, 729)(514, 730)(515, 731)(516, 732)(517, 733)(518, 734)(519, 735)(520, 736)(521, 737)(522, 738)(523, 739)(524, 740)(525, 741)(526, 742)(527, 743)(528, 744)(529, 745)(530, 746)(531, 747)(532, 748)(533, 749)(534, 750)(535, 751)(536, 752)(537, 753)(538, 754)(539, 755)(540, 756)(541, 757)(542, 758)(543, 759)(544, 760)(545, 761)(546, 762)(547, 763)(548, 764)(549, 765)(550, 766)(551, 767)(552, 768)(553, 769)(554, 770)(555, 771)(556, 772)(557, 773)(558, 774)(559, 775)(560, 776)(561, 777)(562, 778)(563, 779)(564, 780)(565, 781)(566, 782)(567, 783)(568, 784)(569, 785)(570, 786)(571, 787)(572, 788)(573, 789)(574, 790)(575, 791)(576, 792)(577, 793)(578, 794)(579, 795)(580, 796)(581, 797)(582, 798)(583, 799)(584, 800)(585, 801)(586, 802)(587, 803)(588, 804)(589, 805)(590, 806)(591, 807)(592, 808)(593, 809)(594, 810)(595, 811)(596, 812)(597, 813)(598, 814)(599, 815)(600, 816)(601, 817)(602, 818)(603, 819)(604, 820)(605, 821)(606, 822)(607, 823)(608, 824)(609, 825)(610, 826)(611, 827)(612, 828)(613, 829)(614, 830)(615, 831)(616, 832)(617, 833)(618, 834)(619, 835)(620, 836)(621, 837)(622, 838)(623, 839)(624, 840)(625, 841)(626, 842)(627, 843)(628, 844)(629, 845)(630, 846)(631, 847)(632, 848)(633, 849)(634, 850)(635, 851)(636, 852)(637, 853)(638, 854)(639, 855)(640, 856)(641, 857)(642, 858)(643, 859)(644, 860)(645, 861)(646, 862)(647, 863)(648, 864)
	L = (1, 435)(2, 438)(3, 433)(4, 441)(5, 444)(6, 434)(7, 448)(8, 449)(9, 436)(10, 453)(11, 456)(12, 437)(13, 460)(14, 461)(15, 464)(16, 439)(17, 440)(18, 469)(19, 472)(20, 473)(21, 442)(22, 477)(23, 480)(24, 443)(25, 484)(26, 485)(27, 488)(28, 445)(29, 446)(30, 493)(31, 496)(32, 447)(33, 500)(34, 501)(35, 504)(36, 505)(37, 450)(38, 509)(39, 512)(40, 451)(41, 452)(42, 517)(43, 520)(44, 521)(45, 454)(46, 525)(47, 528)(48, 455)(49, 532)(50, 533)(51, 536)(52, 457)(53, 458)(54, 541)(55, 544)(56, 459)(57, 548)(58, 549)(59, 552)(60, 553)(61, 462)(62, 557)(63, 545)(64, 463)(65, 561)(66, 534)(67, 530)(68, 465)(69, 466)(70, 542)(71, 568)(72, 467)(73, 468)(74, 572)(75, 574)(76, 558)(77, 470)(78, 578)(79, 551)(80, 471)(81, 580)(82, 581)(83, 582)(84, 563)(85, 474)(86, 584)(87, 555)(88, 475)(89, 476)(90, 575)(91, 554)(92, 588)(93, 478)(94, 591)(95, 592)(96, 479)(97, 596)(98, 499)(99, 599)(100, 481)(101, 482)(102, 498)(103, 605)(104, 483)(105, 608)(106, 609)(107, 610)(108, 611)(109, 486)(110, 502)(111, 606)(112, 487)(113, 495)(114, 597)(115, 594)(116, 489)(117, 490)(118, 603)(119, 511)(120, 491)(121, 492)(122, 523)(123, 519)(124, 612)(125, 494)(126, 508)(127, 607)(128, 625)(129, 497)(130, 626)(131, 516)(132, 627)(133, 628)(134, 615)(135, 630)(136, 503)(137, 631)(138, 614)(139, 600)(140, 506)(141, 619)(142, 507)(143, 522)(144, 629)(145, 617)(146, 510)(147, 636)(148, 513)(149, 514)(150, 515)(151, 624)(152, 518)(153, 633)(154, 616)(155, 632)(156, 524)(157, 635)(158, 634)(159, 526)(160, 527)(161, 637)(162, 547)(163, 638)(164, 529)(165, 546)(166, 640)(167, 531)(168, 571)(169, 643)(170, 644)(171, 550)(172, 641)(173, 535)(174, 543)(175, 559)(176, 537)(177, 538)(178, 539)(179, 540)(180, 556)(181, 642)(182, 570)(183, 566)(184, 586)(185, 577)(186, 646)(187, 573)(188, 645)(189, 639)(190, 648)(191, 647)(192, 583)(193, 560)(194, 562)(195, 564)(196, 565)(197, 576)(198, 567)(199, 569)(200, 587)(201, 585)(202, 590)(203, 589)(204, 579)(205, 593)(206, 595)(207, 621)(208, 598)(209, 604)(210, 613)(211, 601)(212, 602)(213, 620)(214, 618)(215, 623)(216, 622)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3058
Graph:: simple bipartite
	v = 234 e = 432 f = 144
	degree seq :: [ 2^216, 24^18 ]

E28.3068 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = (C4 x ((C3 x C3) : C3)) : C2 (small group id <216, 51>)
Aut   = $<432, 301>$ (small group id <432, 301>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2^3 * Y1)^2, Y2^-1 * R * Y2^3 * R * Y2^-2, (Y1 * Y2^-1)^6, Y2^12, (Y3 * Y2^-1)^6, Y2 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1, (Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1)^2 ]
Map::
	R = (1, 217, 2, 218)(3, 219, 7, 223)(4, 220, 9, 225)(5, 221, 11, 227)(6, 222, 13, 229)(8, 224, 17, 233)(10, 226, 21, 237)(12, 228, 25, 241)(14, 230, 29, 245)(15, 231, 31, 247)(16, 232, 33, 249)(18, 234, 30, 246)(19, 235, 38, 254)(20, 236, 40, 256)(22, 238, 26, 242)(23, 239, 43, 259)(24, 240, 45, 261)(27, 243, 50, 266)(28, 244, 52, 268)(32, 248, 57, 273)(34, 250, 60, 276)(35, 251, 62, 278)(36, 252, 63, 279)(37, 253, 61, 277)(39, 255, 68, 284)(41, 257, 72, 288)(42, 258, 69, 285)(44, 260, 77, 293)(46, 262, 80, 296)(47, 263, 82, 298)(48, 264, 83, 299)(49, 265, 81, 297)(51, 267, 88, 304)(53, 269, 92, 308)(54, 270, 89, 305)(55, 271, 91, 307)(56, 272, 96, 312)(58, 274, 100, 316)(59, 275, 102, 318)(64, 280, 109, 325)(65, 281, 110, 326)(66, 282, 112, 328)(67, 283, 113, 329)(70, 286, 118, 334)(71, 287, 75, 291)(73, 289, 120, 336)(74, 290, 121, 337)(76, 292, 123, 339)(78, 294, 127, 343)(79, 295, 129, 345)(84, 300, 136, 352)(85, 301, 137, 353)(86, 302, 139, 355)(87, 303, 140, 356)(90, 306, 145, 361)(93, 309, 147, 363)(94, 310, 148, 364)(95, 311, 149, 365)(97, 313, 135, 351)(98, 314, 125, 341)(99, 315, 152, 368)(101, 317, 153, 369)(103, 319, 143, 359)(104, 320, 154, 370)(105, 321, 156, 372)(106, 322, 133, 349)(107, 323, 159, 375)(108, 324, 124, 340)(111, 327, 138, 354)(114, 330, 163, 379)(115, 331, 150, 366)(116, 332, 130, 346)(117, 333, 164, 380)(119, 335, 166, 382)(122, 338, 169, 385)(126, 342, 172, 388)(128, 344, 173, 389)(131, 347, 174, 390)(132, 348, 176, 392)(134, 350, 179, 395)(141, 357, 183, 399)(142, 358, 170, 386)(144, 360, 184, 400)(146, 362, 186, 402)(151, 367, 175, 391)(155, 371, 171, 387)(157, 373, 195, 411)(158, 374, 196, 412)(160, 376, 187, 403)(161, 377, 193, 409)(162, 378, 197, 413)(165, 381, 200, 416)(167, 383, 180, 396)(168, 384, 199, 415)(177, 393, 207, 423)(178, 394, 208, 424)(181, 397, 205, 421)(182, 398, 209, 425)(185, 401, 212, 428)(188, 404, 211, 427)(189, 405, 203, 419)(190, 406, 204, 420)(191, 407, 201, 417)(192, 408, 202, 418)(194, 410, 206, 422)(198, 414, 210, 426)(213, 429, 216, 432)(214, 430, 215, 431)(433, 649, 435, 651, 440, 656, 450, 666, 469, 685, 497, 713, 543, 759, 506, 722, 474, 690, 454, 670, 442, 658, 436, 652)(434, 650, 437, 653, 444, 660, 458, 674, 481, 697, 517, 733, 570, 786, 526, 742, 486, 702, 462, 678, 446, 662, 438, 654)(439, 655, 447, 663, 464, 680, 453, 669, 473, 689, 505, 721, 553, 769, 590, 806, 536, 752, 493, 709, 466, 682, 448, 664)(441, 657, 451, 667, 471, 687, 501, 717, 549, 765, 594, 810, 542, 758, 496, 712, 468, 684, 449, 665, 467, 683, 452, 668)(443, 659, 455, 671, 476, 692, 461, 677, 485, 701, 525, 741, 580, 796, 610, 826, 563, 779, 513, 729, 478, 694, 456, 672)(445, 661, 459, 675, 483, 699, 521, 737, 576, 792, 614, 830, 569, 785, 516, 732, 480, 696, 457, 673, 479, 695, 460, 676)(463, 679, 487, 703, 527, 743, 492, 708, 535, 751, 589, 805, 628, 844, 599, 815, 551, 767, 504, 720, 529, 745, 488, 704)(465, 681, 490, 706, 533, 749, 586, 802, 626, 842, 600, 816, 552, 768, 559, 775, 531, 747, 489, 705, 530, 746, 491, 707)(470, 686, 498, 714, 538, 754, 494, 710, 537, 753, 572, 788, 541, 757, 593, 809, 630, 846, 596, 812, 546, 762, 499, 715)(472, 688, 502, 718, 540, 756, 495, 711, 539, 755, 592, 808, 629, 845, 597, 813, 548, 764, 500, 716, 547, 763, 503, 719)(475, 691, 507, 723, 554, 770, 512, 728, 562, 778, 609, 825, 640, 856, 619, 835, 578, 794, 524, 740, 556, 772, 508, 724)(477, 693, 510, 726, 560, 776, 606, 822, 638, 854, 620, 836, 579, 795, 532, 748, 558, 774, 509, 725, 557, 773, 511, 727)(482, 698, 518, 734, 565, 781, 514, 730, 564, 780, 545, 761, 568, 784, 613, 829, 642, 858, 616, 832, 573, 789, 519, 735)(484, 700, 522, 738, 567, 783, 515, 731, 566, 782, 612, 828, 641, 857, 617, 833, 575, 791, 520, 736, 574, 790, 523, 739)(528, 744, 582, 798, 622, 838, 598, 814, 632, 848, 646, 862, 627, 843, 591, 807, 621, 837, 581, 797, 550, 766, 583, 799)(534, 750, 587, 803, 544, 760, 584, 800, 623, 839, 595, 811, 631, 847, 645, 861, 625, 841, 585, 801, 624, 840, 588, 804)(555, 771, 602, 818, 634, 850, 618, 834, 644, 860, 648, 864, 639, 855, 611, 827, 633, 849, 601, 817, 577, 793, 603, 819)(561, 777, 607, 823, 571, 787, 604, 820, 635, 851, 615, 831, 643, 859, 647, 863, 637, 853, 605, 821, 636, 852, 608, 824)
	L = (1, 434)(2, 433)(3, 439)(4, 441)(5, 443)(6, 445)(7, 435)(8, 449)(9, 436)(10, 453)(11, 437)(12, 457)(13, 438)(14, 461)(15, 463)(16, 465)(17, 440)(18, 462)(19, 470)(20, 472)(21, 442)(22, 458)(23, 475)(24, 477)(25, 444)(26, 454)(27, 482)(28, 484)(29, 446)(30, 450)(31, 447)(32, 489)(33, 448)(34, 492)(35, 494)(36, 495)(37, 493)(38, 451)(39, 500)(40, 452)(41, 504)(42, 501)(43, 455)(44, 509)(45, 456)(46, 512)(47, 514)(48, 515)(49, 513)(50, 459)(51, 520)(52, 460)(53, 524)(54, 521)(55, 523)(56, 528)(57, 464)(58, 532)(59, 534)(60, 466)(61, 469)(62, 467)(63, 468)(64, 541)(65, 542)(66, 544)(67, 545)(68, 471)(69, 474)(70, 550)(71, 507)(72, 473)(73, 552)(74, 553)(75, 503)(76, 555)(77, 476)(78, 559)(79, 561)(80, 478)(81, 481)(82, 479)(83, 480)(84, 568)(85, 569)(86, 571)(87, 572)(88, 483)(89, 486)(90, 577)(91, 487)(92, 485)(93, 579)(94, 580)(95, 581)(96, 488)(97, 567)(98, 557)(99, 584)(100, 490)(101, 585)(102, 491)(103, 575)(104, 586)(105, 588)(106, 565)(107, 591)(108, 556)(109, 496)(110, 497)(111, 570)(112, 498)(113, 499)(114, 595)(115, 582)(116, 562)(117, 596)(118, 502)(119, 598)(120, 505)(121, 506)(122, 601)(123, 508)(124, 540)(125, 530)(126, 604)(127, 510)(128, 605)(129, 511)(130, 548)(131, 606)(132, 608)(133, 538)(134, 611)(135, 529)(136, 516)(137, 517)(138, 543)(139, 518)(140, 519)(141, 615)(142, 602)(143, 535)(144, 616)(145, 522)(146, 618)(147, 525)(148, 526)(149, 527)(150, 547)(151, 607)(152, 531)(153, 533)(154, 536)(155, 603)(156, 537)(157, 627)(158, 628)(159, 539)(160, 619)(161, 625)(162, 629)(163, 546)(164, 549)(165, 632)(166, 551)(167, 612)(168, 631)(169, 554)(170, 574)(171, 587)(172, 558)(173, 560)(174, 563)(175, 583)(176, 564)(177, 639)(178, 640)(179, 566)(180, 599)(181, 637)(182, 641)(183, 573)(184, 576)(185, 644)(186, 578)(187, 592)(188, 643)(189, 635)(190, 636)(191, 633)(192, 634)(193, 593)(194, 638)(195, 589)(196, 590)(197, 594)(198, 642)(199, 600)(200, 597)(201, 623)(202, 624)(203, 621)(204, 622)(205, 613)(206, 626)(207, 609)(208, 610)(209, 614)(210, 630)(211, 620)(212, 617)(213, 648)(214, 647)(215, 646)(216, 645)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3071
Graph:: bipartite
	v = 126 e = 432 f = 252
	degree seq :: [ 4^108, 24^18 ]

E28.3069 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = (C2 x (((C3 x C3) : C3) : C2)) : C2 (small group id <216, 37>)
Aut   = $<432, 301>$ (small group id <432, 301>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^-2 * R * Y1 * Y2^-2 * Y1 * Y2 * Y1 * R * Y2 * Y1, Y2^-1 * Y1 * Y2^-3 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1 * Y2^-1, Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^2 * Y1 * Y2^2 * Y1, Y2^12, Y2 * Y1 * Y2^4 * Y1 * Y2 * Y1 * Y2^-2 * Y1, (Y3 * Y2^-1)^6, (Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1)^2, (Y2^-6 * Y1)^2 ]
Map::
	R = (1, 217, 2, 218)(3, 219, 7, 223)(4, 220, 9, 225)(5, 221, 11, 227)(6, 222, 13, 229)(8, 224, 17, 233)(10, 226, 21, 237)(12, 228, 25, 241)(14, 230, 29, 245)(15, 231, 31, 247)(16, 232, 33, 249)(18, 234, 37, 253)(19, 235, 39, 255)(20, 236, 41, 257)(22, 238, 45, 261)(23, 239, 47, 263)(24, 240, 49, 265)(26, 242, 53, 269)(27, 243, 55, 271)(28, 244, 57, 273)(30, 246, 61, 277)(32, 248, 65, 281)(34, 250, 69, 285)(35, 251, 71, 287)(36, 252, 73, 289)(38, 254, 77, 293)(40, 256, 81, 297)(42, 258, 85, 301)(43, 259, 87, 303)(44, 260, 89, 305)(46, 262, 93, 309)(48, 264, 97, 313)(50, 266, 101, 317)(51, 267, 103, 319)(52, 268, 105, 321)(54, 270, 109, 325)(56, 272, 113, 329)(58, 274, 117, 333)(59, 275, 119, 335)(60, 276, 121, 337)(62, 278, 125, 341)(63, 279, 116, 332)(64, 280, 100, 316)(66, 282, 130, 346)(67, 283, 112, 328)(68, 284, 96, 312)(70, 286, 134, 350)(72, 288, 104, 320)(74, 290, 120, 336)(75, 291, 139, 355)(76, 292, 140, 356)(78, 294, 143, 359)(79, 295, 115, 331)(80, 296, 99, 315)(82, 298, 146, 362)(83, 299, 111, 327)(84, 300, 95, 311)(86, 302, 127, 343)(88, 304, 106, 322)(90, 306, 122, 338)(91, 307, 150, 366)(92, 308, 128, 344)(94, 310, 153, 369)(98, 314, 157, 373)(102, 318, 161, 377)(107, 323, 166, 382)(108, 324, 167, 383)(110, 326, 170, 386)(114, 330, 173, 389)(118, 334, 154, 370)(123, 339, 177, 393)(124, 340, 155, 371)(126, 342, 180, 396)(129, 345, 160, 376)(131, 347, 175, 391)(132, 348, 163, 379)(133, 349, 156, 372)(135, 351, 176, 392)(136, 352, 159, 375)(137, 353, 172, 388)(138, 354, 174, 390)(141, 357, 179, 395)(142, 358, 178, 394)(144, 360, 171, 387)(145, 361, 164, 380)(147, 363, 165, 381)(148, 364, 158, 374)(149, 365, 162, 378)(151, 367, 169, 385)(152, 368, 168, 384)(181, 397, 197, 413)(182, 398, 196, 412)(183, 399, 201, 417)(184, 400, 210, 426)(185, 401, 209, 425)(186, 402, 198, 414)(187, 403, 213, 429)(188, 404, 203, 419)(189, 405, 208, 424)(190, 406, 211, 427)(191, 407, 206, 422)(192, 408, 212, 428)(193, 409, 204, 420)(194, 410, 200, 416)(195, 411, 199, 415)(202, 418, 216, 432)(205, 421, 214, 430)(207, 423, 215, 431)(433, 649, 435, 651, 440, 656, 450, 666, 470, 686, 510, 726, 576, 792, 526, 742, 478, 694, 454, 670, 442, 658, 436, 652)(434, 650, 437, 653, 444, 660, 458, 674, 486, 702, 542, 758, 603, 819, 558, 774, 494, 710, 462, 678, 446, 662, 438, 654)(439, 655, 447, 663, 464, 680, 498, 714, 537, 753, 596, 812, 585, 801, 619, 835, 567, 783, 502, 718, 466, 682, 448, 664)(441, 657, 451, 667, 472, 688, 514, 730, 579, 795, 624, 840, 575, 791, 607, 823, 551, 767, 518, 734, 474, 690, 452, 668)(443, 659, 455, 671, 480, 696, 530, 746, 505, 721, 569, 785, 612, 828, 634, 850, 594, 810, 534, 750, 482, 698, 456, 672)(445, 661, 459, 675, 488, 704, 546, 762, 606, 822, 639, 855, 602, 818, 580, 796, 519, 735, 550, 766, 490, 706, 460, 676)(449, 665, 467, 683, 504, 720, 549, 765, 592, 808, 533, 749, 525, 741, 584, 800, 620, 836, 570, 786, 506, 722, 468, 684)(453, 669, 475, 691, 520, 736, 581, 797, 623, 839, 574, 790, 509, 725, 545, 761, 588, 804, 529, 745, 522, 738, 476, 692)(457, 673, 483, 699, 536, 752, 517, 733, 565, 781, 501, 717, 557, 773, 611, 827, 635, 851, 597, 813, 538, 754, 484, 700)(461, 677, 491, 707, 552, 768, 608, 824, 638, 854, 601, 817, 541, 757, 513, 729, 561, 777, 497, 713, 554, 770, 492, 708)(463, 679, 495, 711, 559, 775, 613, 829, 572, 788, 621, 837, 645, 861, 626, 842, 578, 794, 614, 830, 560, 776, 496, 712)(465, 681, 499, 715, 563, 779, 616, 832, 643, 859, 625, 841, 577, 793, 512, 728, 471, 687, 511, 727, 564, 780, 500, 716)(469, 685, 507, 723, 553, 769, 595, 811, 535, 751, 524, 740, 477, 693, 523, 739, 583, 799, 622, 838, 573, 789, 508, 724)(473, 689, 515, 731, 571, 787, 618, 834, 566, 782, 617, 833, 644, 860, 627, 843, 582, 798, 615, 831, 562, 778, 516, 732)(479, 695, 527, 743, 586, 802, 628, 844, 599, 815, 636, 852, 648, 864, 641, 857, 605, 821, 629, 845, 587, 803, 528, 744)(481, 697, 531, 747, 590, 806, 631, 847, 646, 862, 640, 856, 604, 820, 544, 760, 487, 703, 543, 759, 591, 807, 532, 748)(485, 701, 539, 755, 521, 737, 568, 784, 503, 719, 556, 772, 493, 709, 555, 771, 610, 826, 637, 853, 600, 816, 540, 756)(489, 705, 547, 763, 598, 814, 633, 849, 593, 809, 632, 848, 647, 863, 642, 858, 609, 825, 630, 846, 589, 805, 548, 764)
	L = (1, 434)(2, 433)(3, 439)(4, 441)(5, 443)(6, 445)(7, 435)(8, 449)(9, 436)(10, 453)(11, 437)(12, 457)(13, 438)(14, 461)(15, 463)(16, 465)(17, 440)(18, 469)(19, 471)(20, 473)(21, 442)(22, 477)(23, 479)(24, 481)(25, 444)(26, 485)(27, 487)(28, 489)(29, 446)(30, 493)(31, 447)(32, 497)(33, 448)(34, 501)(35, 503)(36, 505)(37, 450)(38, 509)(39, 451)(40, 513)(41, 452)(42, 517)(43, 519)(44, 521)(45, 454)(46, 525)(47, 455)(48, 529)(49, 456)(50, 533)(51, 535)(52, 537)(53, 458)(54, 541)(55, 459)(56, 545)(57, 460)(58, 549)(59, 551)(60, 553)(61, 462)(62, 557)(63, 548)(64, 532)(65, 464)(66, 562)(67, 544)(68, 528)(69, 466)(70, 566)(71, 467)(72, 536)(73, 468)(74, 552)(75, 571)(76, 572)(77, 470)(78, 575)(79, 547)(80, 531)(81, 472)(82, 578)(83, 543)(84, 527)(85, 474)(86, 559)(87, 475)(88, 538)(89, 476)(90, 554)(91, 582)(92, 560)(93, 478)(94, 585)(95, 516)(96, 500)(97, 480)(98, 589)(99, 512)(100, 496)(101, 482)(102, 593)(103, 483)(104, 504)(105, 484)(106, 520)(107, 598)(108, 599)(109, 486)(110, 602)(111, 515)(112, 499)(113, 488)(114, 605)(115, 511)(116, 495)(117, 490)(118, 586)(119, 491)(120, 506)(121, 492)(122, 522)(123, 609)(124, 587)(125, 494)(126, 612)(127, 518)(128, 524)(129, 592)(130, 498)(131, 607)(132, 595)(133, 588)(134, 502)(135, 608)(136, 591)(137, 604)(138, 606)(139, 507)(140, 508)(141, 611)(142, 610)(143, 510)(144, 603)(145, 596)(146, 514)(147, 597)(148, 590)(149, 594)(150, 523)(151, 601)(152, 600)(153, 526)(154, 550)(155, 556)(156, 565)(157, 530)(158, 580)(159, 568)(160, 561)(161, 534)(162, 581)(163, 564)(164, 577)(165, 579)(166, 539)(167, 540)(168, 584)(169, 583)(170, 542)(171, 576)(172, 569)(173, 546)(174, 570)(175, 563)(176, 567)(177, 555)(178, 574)(179, 573)(180, 558)(181, 629)(182, 628)(183, 633)(184, 642)(185, 641)(186, 630)(187, 645)(188, 635)(189, 640)(190, 643)(191, 638)(192, 644)(193, 636)(194, 632)(195, 631)(196, 614)(197, 613)(198, 618)(199, 627)(200, 626)(201, 615)(202, 648)(203, 620)(204, 625)(205, 646)(206, 623)(207, 647)(208, 621)(209, 617)(210, 616)(211, 622)(212, 624)(213, 619)(214, 637)(215, 639)(216, 634)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3072
Graph:: bipartite
	v = 126 e = 432 f = 252
	degree seq :: [ 4^108, 24^18 ]

E28.3070 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = (C2 x C2 x ((C3 x C3) : C3)) : C2 (small group id <216, 60>)
Aut   = $<432, 324>$ (small group id <432, 324>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y1)^2, (R * Y2^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1 * Y2^-1 * R * Y1)^2, Y2^-1 * Y1 * Y2^3 * R * Y2^2 * R * Y2 * Y1 * Y2^-1, Y2^12, Y2^-1 * Y1 * Y2^-2 * R * Y2^-2 * R * Y2^2 * Y1 * Y2^-1, (Y2 * Y1)^6, Y2^-1 * Y1 * Y2 * Y1 * Y2^2 * Y1 * Y2 * Y1 * Y2^-3, (Y3 * Y2^-1)^6, (Y2^-6 * Y1)^2 ]
Map::
	R = (1, 217, 2, 218)(3, 219, 7, 223)(4, 220, 9, 225)(5, 221, 11, 227)(6, 222, 13, 229)(8, 224, 17, 233)(10, 226, 21, 237)(12, 228, 25, 241)(14, 230, 29, 245)(15, 231, 31, 247)(16, 232, 33, 249)(18, 234, 37, 253)(19, 235, 39, 255)(20, 236, 41, 257)(22, 238, 45, 261)(23, 239, 47, 263)(24, 240, 49, 265)(26, 242, 53, 269)(27, 243, 55, 271)(28, 244, 57, 273)(30, 246, 61, 277)(32, 248, 65, 281)(34, 250, 69, 285)(35, 251, 71, 287)(36, 252, 73, 289)(38, 254, 77, 293)(40, 256, 81, 297)(42, 258, 85, 301)(43, 259, 87, 303)(44, 260, 89, 305)(46, 262, 93, 309)(48, 264, 97, 313)(50, 266, 101, 317)(51, 267, 103, 319)(52, 268, 105, 321)(54, 270, 109, 325)(56, 272, 113, 329)(58, 274, 117, 333)(59, 275, 119, 335)(60, 276, 121, 337)(62, 278, 125, 341)(63, 279, 116, 332)(64, 280, 128, 344)(66, 282, 131, 347)(67, 283, 133, 349)(68, 284, 135, 351)(70, 286, 138, 354)(72, 288, 104, 320)(74, 290, 120, 336)(75, 291, 142, 358)(76, 292, 144, 360)(78, 294, 146, 362)(79, 295, 148, 364)(80, 296, 149, 365)(82, 298, 134, 350)(83, 299, 150, 366)(84, 300, 95, 311)(86, 302, 152, 368)(88, 304, 106, 322)(90, 306, 122, 338)(91, 307, 136, 352)(92, 308, 156, 372)(94, 310, 159, 375)(96, 312, 161, 377)(98, 314, 164, 380)(99, 315, 166, 382)(100, 316, 168, 384)(102, 318, 171, 387)(107, 323, 175, 391)(108, 324, 177, 393)(110, 326, 179, 395)(111, 327, 181, 397)(112, 328, 182, 398)(114, 330, 167, 383)(115, 331, 183, 399)(118, 334, 185, 401)(123, 339, 169, 385)(124, 340, 189, 405)(126, 342, 192, 408)(127, 343, 172, 388)(129, 345, 174, 390)(130, 346, 163, 379)(132, 348, 173, 389)(137, 353, 170, 386)(139, 355, 160, 376)(140, 356, 165, 381)(141, 357, 162, 378)(143, 359, 178, 394)(145, 361, 176, 392)(147, 363, 180, 396)(151, 367, 187, 403)(153, 369, 188, 404)(154, 370, 184, 400)(155, 371, 186, 402)(157, 373, 191, 407)(158, 374, 190, 406)(193, 409, 216, 432)(194, 410, 211, 427)(195, 411, 208, 424)(196, 412, 207, 423)(197, 413, 212, 428)(198, 414, 214, 430)(199, 415, 206, 422)(200, 416, 209, 425)(201, 417, 215, 431)(202, 418, 210, 426)(203, 419, 213, 429)(204, 420, 205, 421)(433, 649, 435, 651, 440, 656, 450, 666, 470, 686, 510, 726, 579, 795, 526, 742, 478, 694, 454, 670, 442, 658, 436, 652)(434, 650, 437, 653, 444, 660, 458, 674, 486, 702, 542, 758, 612, 828, 558, 774, 494, 710, 462, 678, 446, 662, 438, 654)(439, 655, 447, 663, 464, 680, 498, 714, 564, 780, 627, 843, 591, 807, 619, 835, 553, 769, 502, 718, 466, 682, 448, 664)(441, 657, 451, 667, 472, 688, 514, 730, 535, 751, 604, 820, 578, 794, 636, 852, 585, 801, 518, 734, 474, 690, 452, 668)(443, 659, 455, 671, 480, 696, 530, 746, 597, 813, 639, 855, 624, 840, 586, 802, 521, 737, 534, 750, 482, 698, 456, 672)(445, 661, 459, 675, 488, 704, 546, 762, 503, 719, 571, 787, 611, 827, 648, 864, 618, 834, 550, 766, 490, 706, 460, 676)(449, 665, 467, 683, 504, 720, 572, 788, 633, 849, 590, 806, 525, 741, 549, 765, 602, 818, 533, 749, 506, 722, 468, 684)(453, 669, 475, 691, 520, 736, 545, 761, 595, 811, 529, 745, 509, 725, 577, 793, 635, 851, 587, 803, 522, 738, 476, 692)(457, 673, 483, 699, 536, 752, 605, 821, 645, 861, 623, 839, 557, 773, 517, 733, 569, 785, 501, 717, 538, 754, 484, 700)(461, 677, 491, 707, 552, 768, 513, 729, 562, 778, 497, 713, 541, 757, 610, 826, 647, 863, 620, 836, 554, 770, 492, 708)(463, 679, 495, 711, 559, 775, 600, 816, 642, 858, 613, 829, 583, 799, 516, 732, 473, 689, 515, 731, 561, 777, 496, 712)(465, 681, 499, 715, 566, 782, 629, 845, 574, 790, 615, 831, 640, 856, 598, 814, 584, 800, 631, 847, 568, 784, 500, 716)(469, 685, 507, 723, 575, 791, 634, 850, 589, 805, 524, 740, 477, 693, 523, 739, 551, 767, 606, 822, 537, 753, 508, 724)(471, 687, 511, 727, 576, 792, 626, 842, 563, 779, 614, 830, 637, 853, 593, 809, 588, 804, 632, 848, 570, 786, 512, 728)(479, 695, 527, 743, 592, 808, 567, 783, 630, 846, 580, 796, 616, 832, 548, 764, 489, 705, 547, 763, 594, 810, 528, 744)(481, 697, 531, 747, 599, 815, 641, 857, 607, 823, 582, 798, 628, 844, 565, 781, 617, 833, 643, 859, 601, 817, 532, 748)(485, 701, 539, 755, 608, 824, 646, 862, 622, 838, 556, 772, 493, 709, 555, 771, 519, 735, 573, 789, 505, 721, 540, 756)(487, 703, 543, 759, 609, 825, 638, 854, 596, 812, 581, 797, 625, 841, 560, 776, 621, 837, 644, 860, 603, 819, 544, 760)
	L = (1, 434)(2, 433)(3, 439)(4, 441)(5, 443)(6, 445)(7, 435)(8, 449)(9, 436)(10, 453)(11, 437)(12, 457)(13, 438)(14, 461)(15, 463)(16, 465)(17, 440)(18, 469)(19, 471)(20, 473)(21, 442)(22, 477)(23, 479)(24, 481)(25, 444)(26, 485)(27, 487)(28, 489)(29, 446)(30, 493)(31, 447)(32, 497)(33, 448)(34, 501)(35, 503)(36, 505)(37, 450)(38, 509)(39, 451)(40, 513)(41, 452)(42, 517)(43, 519)(44, 521)(45, 454)(46, 525)(47, 455)(48, 529)(49, 456)(50, 533)(51, 535)(52, 537)(53, 458)(54, 541)(55, 459)(56, 545)(57, 460)(58, 549)(59, 551)(60, 553)(61, 462)(62, 557)(63, 548)(64, 560)(65, 464)(66, 563)(67, 565)(68, 567)(69, 466)(70, 570)(71, 467)(72, 536)(73, 468)(74, 552)(75, 574)(76, 576)(77, 470)(78, 578)(79, 580)(80, 581)(81, 472)(82, 566)(83, 582)(84, 527)(85, 474)(86, 584)(87, 475)(88, 538)(89, 476)(90, 554)(91, 568)(92, 588)(93, 478)(94, 591)(95, 516)(96, 593)(97, 480)(98, 596)(99, 598)(100, 600)(101, 482)(102, 603)(103, 483)(104, 504)(105, 484)(106, 520)(107, 607)(108, 609)(109, 486)(110, 611)(111, 613)(112, 614)(113, 488)(114, 599)(115, 615)(116, 495)(117, 490)(118, 617)(119, 491)(120, 506)(121, 492)(122, 522)(123, 601)(124, 621)(125, 494)(126, 624)(127, 604)(128, 496)(129, 606)(130, 595)(131, 498)(132, 605)(133, 499)(134, 514)(135, 500)(136, 523)(137, 602)(138, 502)(139, 592)(140, 597)(141, 594)(142, 507)(143, 610)(144, 508)(145, 608)(146, 510)(147, 612)(148, 511)(149, 512)(150, 515)(151, 619)(152, 518)(153, 620)(154, 616)(155, 618)(156, 524)(157, 623)(158, 622)(159, 526)(160, 571)(161, 528)(162, 573)(163, 562)(164, 530)(165, 572)(166, 531)(167, 546)(168, 532)(169, 555)(170, 569)(171, 534)(172, 559)(173, 564)(174, 561)(175, 539)(176, 577)(177, 540)(178, 575)(179, 542)(180, 579)(181, 543)(182, 544)(183, 547)(184, 586)(185, 550)(186, 587)(187, 583)(188, 585)(189, 556)(190, 590)(191, 589)(192, 558)(193, 648)(194, 643)(195, 640)(196, 639)(197, 644)(198, 646)(199, 638)(200, 641)(201, 647)(202, 642)(203, 645)(204, 637)(205, 636)(206, 631)(207, 628)(208, 627)(209, 632)(210, 634)(211, 626)(212, 629)(213, 635)(214, 630)(215, 633)(216, 625)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3073
Graph:: bipartite
	v = 126 e = 432 f = 252
	degree seq :: [ 4^108, 24^18 ]

E28.3071 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = (C4 x ((C3 x C3) : C3)) : C2 (small group id <216, 51>)
Aut   = $<432, 301>$ (small group id <432, 301>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (Y1^-1 * Y3^2)^2, (R * Y2 * Y3^-1)^2, (Y1^-1 * Y3^2)^2, Y1^6, Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-2 * Y3 * Y1^-1, Y3^2 * Y1^2 * Y3^-3 * Y1^-2 * Y3, (Y3 * Y2^-1)^12 ]
Map:: polytopal
	R = (1, 217, 2, 218, 6, 222, 16, 232, 13, 229, 4, 220)(3, 219, 9, 225, 23, 239, 49, 265, 28, 244, 11, 227)(5, 221, 14, 230, 33, 249, 45, 261, 20, 236, 7, 223)(8, 224, 21, 237, 46, 262, 77, 293, 39, 255, 17, 233)(10, 226, 25, 241, 54, 270, 89, 305, 47, 263, 22, 238)(12, 228, 29, 245, 60, 276, 103, 319, 64, 280, 31, 247)(15, 231, 30, 246, 62, 278, 106, 322, 68, 284, 34, 250)(18, 234, 40, 256, 78, 294, 116, 332, 71, 287, 36, 252)(19, 235, 42, 258, 81, 297, 125, 341, 79, 295, 41, 257)(24, 240, 52, 268, 94, 310, 123, 339, 87, 303, 50, 266)(26, 242, 48, 264, 75, 291, 119, 335, 95, 311, 53, 269)(27, 243, 57, 273, 76, 292, 122, 338, 102, 318, 58, 274)(32, 248, 37, 253, 72, 288, 117, 333, 98, 314, 65, 281)(35, 251, 43, 259, 80, 296, 114, 330, 105, 321, 63, 279)(38, 254, 74, 290, 59, 275, 92, 308, 118, 334, 73, 289)(44, 260, 84, 300, 115, 331, 91, 307, 51, 267, 85, 301)(55, 271, 99, 315, 120, 336, 156, 372, 137, 353, 97, 313)(56, 272, 96, 312, 136, 352, 169, 385, 141, 357, 100, 316)(61, 277, 70, 286, 113, 329, 86, 302, 66, 282, 104, 320)(67, 283, 110, 326, 124, 340, 159, 375, 144, 360, 109, 325)(69, 285, 111, 327, 149, 365, 163, 379, 129, 345, 83, 299)(82, 298, 128, 344, 152, 368, 146, 362, 107, 323, 127, 343)(88, 304, 132, 348, 154, 370, 135, 351, 93, 309, 131, 347)(90, 306, 133, 349, 166, 382, 187, 403, 157, 373, 121, 337)(101, 317, 142, 358, 174, 390, 196, 412, 168, 384, 134, 350)(108, 324, 145, 361, 177, 393, 190, 406, 162, 378, 147, 363)(112, 328, 148, 364, 180, 396, 204, 420, 182, 398, 151, 367)(126, 342, 160, 376, 150, 366, 179, 395, 183, 399, 153, 369)(130, 346, 164, 380, 192, 408, 210, 426, 191, 407, 161, 377)(138, 354, 155, 371, 185, 401, 167, 383, 140, 356, 171, 387)(139, 355, 172, 388, 199, 415, 208, 424, 195, 411, 170, 386)(143, 359, 165, 381, 189, 405, 206, 422, 200, 416, 173, 389)(158, 374, 188, 404, 175, 391, 197, 413, 207, 423, 186, 402)(176, 392, 202, 418, 209, 425, 216, 432, 214, 430, 201, 417)(178, 394, 184, 400, 205, 421, 193, 409, 181, 397, 203, 419)(194, 410, 212, 428, 215, 431, 213, 429, 198, 414, 211, 427)(433, 649)(434, 650)(435, 651)(436, 652)(437, 653)(438, 654)(439, 655)(440, 656)(441, 657)(442, 658)(443, 659)(444, 660)(445, 661)(446, 662)(447, 663)(448, 664)(449, 665)(450, 666)(451, 667)(452, 668)(453, 669)(454, 670)(455, 671)(456, 672)(457, 673)(458, 674)(459, 675)(460, 676)(461, 677)(462, 678)(463, 679)(464, 680)(465, 681)(466, 682)(467, 683)(468, 684)(469, 685)(470, 686)(471, 687)(472, 688)(473, 689)(474, 690)(475, 691)(476, 692)(477, 693)(478, 694)(479, 695)(480, 696)(481, 697)(482, 698)(483, 699)(484, 700)(485, 701)(486, 702)(487, 703)(488, 704)(489, 705)(490, 706)(491, 707)(492, 708)(493, 709)(494, 710)(495, 711)(496, 712)(497, 713)(498, 714)(499, 715)(500, 716)(501, 717)(502, 718)(503, 719)(504, 720)(505, 721)(506, 722)(507, 723)(508, 724)(509, 725)(510, 726)(511, 727)(512, 728)(513, 729)(514, 730)(515, 731)(516, 732)(517, 733)(518, 734)(519, 735)(520, 736)(521, 737)(522, 738)(523, 739)(524, 740)(525, 741)(526, 742)(527, 743)(528, 744)(529, 745)(530, 746)(531, 747)(532, 748)(533, 749)(534, 750)(535, 751)(536, 752)(537, 753)(538, 754)(539, 755)(540, 756)(541, 757)(542, 758)(543, 759)(544, 760)(545, 761)(546, 762)(547, 763)(548, 764)(549, 765)(550, 766)(551, 767)(552, 768)(553, 769)(554, 770)(555, 771)(556, 772)(557, 773)(558, 774)(559, 775)(560, 776)(561, 777)(562, 778)(563, 779)(564, 780)(565, 781)(566, 782)(567, 783)(568, 784)(569, 785)(570, 786)(571, 787)(572, 788)(573, 789)(574, 790)(575, 791)(576, 792)(577, 793)(578, 794)(579, 795)(580, 796)(581, 797)(582, 798)(583, 799)(584, 800)(585, 801)(586, 802)(587, 803)(588, 804)(589, 805)(590, 806)(591, 807)(592, 808)(593, 809)(594, 810)(595, 811)(596, 812)(597, 813)(598, 814)(599, 815)(600, 816)(601, 817)(602, 818)(603, 819)(604, 820)(605, 821)(606, 822)(607, 823)(608, 824)(609, 825)(610, 826)(611, 827)(612, 828)(613, 829)(614, 830)(615, 831)(616, 832)(617, 833)(618, 834)(619, 835)(620, 836)(621, 837)(622, 838)(623, 839)(624, 840)(625, 841)(626, 842)(627, 843)(628, 844)(629, 845)(630, 846)(631, 847)(632, 848)(633, 849)(634, 850)(635, 851)(636, 852)(637, 853)(638, 854)(639, 855)(640, 856)(641, 857)(642, 858)(643, 859)(644, 860)(645, 861)(646, 862)(647, 863)(648, 864)
	L = (1, 435)(2, 439)(3, 442)(4, 444)(5, 433)(6, 449)(7, 451)(8, 434)(9, 436)(10, 458)(11, 459)(12, 462)(13, 464)(14, 466)(15, 437)(16, 468)(17, 470)(18, 438)(19, 475)(20, 476)(21, 479)(22, 440)(23, 482)(24, 441)(25, 443)(26, 488)(27, 446)(28, 491)(29, 445)(30, 495)(31, 483)(32, 484)(33, 490)(34, 499)(35, 447)(36, 502)(37, 448)(38, 507)(39, 508)(40, 511)(41, 450)(42, 452)(43, 515)(44, 453)(45, 518)(46, 517)(47, 520)(48, 454)(49, 523)(50, 525)(51, 455)(52, 527)(53, 456)(54, 529)(55, 457)(56, 533)(57, 460)(58, 530)(59, 531)(60, 536)(61, 461)(62, 463)(63, 540)(64, 513)(65, 534)(66, 465)(67, 543)(68, 510)(69, 467)(70, 546)(71, 547)(72, 550)(73, 469)(74, 471)(75, 553)(76, 472)(77, 555)(78, 489)(79, 556)(80, 473)(81, 559)(82, 474)(83, 562)(84, 477)(85, 496)(86, 560)(87, 478)(88, 565)(89, 549)(90, 480)(91, 548)(92, 481)(93, 568)(94, 497)(95, 570)(96, 485)(97, 572)(98, 486)(99, 573)(100, 487)(101, 575)(102, 492)(103, 554)(104, 576)(105, 493)(106, 578)(107, 494)(108, 580)(109, 498)(110, 500)(111, 583)(112, 501)(113, 503)(114, 585)(115, 504)(116, 538)(117, 516)(118, 586)(119, 505)(120, 506)(121, 590)(122, 509)(123, 588)(124, 592)(125, 535)(126, 512)(127, 594)(128, 595)(129, 514)(130, 597)(131, 519)(132, 521)(133, 600)(134, 522)(135, 524)(136, 602)(137, 526)(138, 604)(139, 528)(140, 606)(141, 607)(142, 532)(143, 544)(144, 609)(145, 537)(146, 611)(147, 539)(148, 605)(149, 541)(150, 542)(151, 608)(152, 545)(153, 616)(154, 617)(155, 551)(156, 619)(157, 552)(158, 621)(159, 557)(160, 623)(161, 558)(162, 624)(163, 625)(164, 561)(165, 566)(166, 563)(167, 564)(168, 626)(169, 567)(170, 630)(171, 569)(172, 632)(173, 571)(174, 633)(175, 634)(176, 574)(177, 635)(178, 577)(179, 636)(180, 579)(181, 581)(182, 582)(183, 584)(184, 638)(185, 639)(186, 587)(187, 640)(188, 589)(189, 593)(190, 591)(191, 641)(192, 643)(193, 644)(194, 596)(195, 598)(196, 599)(197, 601)(198, 612)(199, 603)(200, 610)(201, 613)(202, 614)(203, 646)(204, 645)(205, 615)(206, 618)(207, 647)(208, 648)(209, 620)(210, 622)(211, 627)(212, 628)(213, 629)(214, 631)(215, 637)(216, 642)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.3068
Graph:: simple bipartite
	v = 252 e = 432 f = 126
	degree seq :: [ 2^216, 12^36 ]

E28.3072 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = (C2 x (((C3 x C3) : C3) : C2)) : C2 (small group id <216, 37>)
Aut   = $<432, 301>$ (small group id <432, 301>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^6, Y1^-1 * Y3 * Y1^-1 * Y3^2 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1^-1 * Y3^-1 * Y1^2 * Y3^2 * Y1^3, Y1^-1 * Y3^3 * Y1^-2 * Y3^-2 * Y1 * Y3, (Y3 * Y2^-1)^12 ]
Map:: polytopal
	R = (1, 217, 2, 218, 6, 222, 16, 232, 13, 229, 4, 220)(3, 219, 9, 225, 23, 239, 55, 271, 29, 245, 11, 227)(5, 221, 14, 230, 34, 250, 49, 265, 20, 236, 7, 223)(8, 224, 21, 237, 50, 266, 91, 307, 42, 258, 17, 233)(10, 226, 25, 241, 60, 276, 86, 302, 65, 281, 27, 243)(12, 228, 30, 246, 68, 284, 122, 338, 73, 289, 32, 248)(15, 231, 37, 253, 79, 295, 83, 299, 78, 294, 35, 251)(18, 234, 43, 259, 92, 308, 134, 350, 84, 300, 39, 255)(19, 235, 45, 261, 96, 312, 69, 285, 101, 317, 47, 263)(22, 238, 53, 269, 107, 323, 74, 290, 106, 322, 51, 267)(24, 240, 58, 274, 89, 305, 41, 257, 87, 303, 56, 272)(26, 242, 62, 278, 117, 333, 139, 355, 88, 304, 64, 280)(28, 244, 66, 282, 90, 306, 76, 292, 36, 252, 67, 283)(31, 247, 70, 286, 93, 309, 44, 260, 94, 310, 72, 288)(33, 249, 40, 256, 85, 301, 135, 351, 112, 328, 75, 291)(38, 254, 81, 297, 123, 339, 141, 357, 95, 311, 80, 296)(46, 262, 98, 314, 71, 287, 125, 341, 133, 349, 100, 316)(48, 264, 102, 318, 57, 273, 104, 320, 52, 268, 103, 319)(54, 270, 109, 325, 59, 275, 113, 329, 136, 352, 108, 324)(61, 277, 105, 321, 149, 365, 111, 327, 137, 353, 115, 331)(63, 279, 119, 335, 151, 367, 173, 389, 155, 371, 121, 337)(77, 293, 127, 343, 143, 359, 97, 313, 140, 356, 124, 340)(82, 298, 131, 347, 144, 360, 172, 388, 165, 381, 130, 346)(99, 315, 146, 362, 177, 393, 164, 380, 128, 344, 148, 364)(110, 326, 153, 369, 174, 390, 159, 375, 118, 334, 152, 368)(114, 330, 150, 366, 116, 332, 138, 354, 175, 391, 156, 372)(120, 336, 162, 378, 190, 406, 203, 419, 188, 404, 154, 370)(126, 342, 145, 361, 129, 345, 142, 358, 178, 394, 167, 383)(132, 348, 166, 382, 199, 415, 205, 421, 182, 398, 171, 387)(147, 363, 183, 399, 170, 386, 198, 414, 206, 422, 179, 395)(157, 373, 191, 407, 202, 418, 186, 402, 161, 377, 185, 401)(158, 374, 187, 403, 160, 376, 189, 405, 201, 417, 176, 392)(163, 379, 184, 400, 204, 420, 214, 430, 213, 429, 192, 408)(168, 384, 197, 413, 200, 416, 180, 396, 169, 385, 181, 397)(193, 409, 209, 425, 215, 431, 212, 428, 196, 412, 208, 424)(194, 410, 210, 426, 195, 411, 207, 423, 216, 432, 211, 427)(433, 649)(434, 650)(435, 651)(436, 652)(437, 653)(438, 654)(439, 655)(440, 656)(441, 657)(442, 658)(443, 659)(444, 660)(445, 661)(446, 662)(447, 663)(448, 664)(449, 665)(450, 666)(451, 667)(452, 668)(453, 669)(454, 670)(455, 671)(456, 672)(457, 673)(458, 674)(459, 675)(460, 676)(461, 677)(462, 678)(463, 679)(464, 680)(465, 681)(466, 682)(467, 683)(468, 684)(469, 685)(470, 686)(471, 687)(472, 688)(473, 689)(474, 690)(475, 691)(476, 692)(477, 693)(478, 694)(479, 695)(480, 696)(481, 697)(482, 698)(483, 699)(484, 700)(485, 701)(486, 702)(487, 703)(488, 704)(489, 705)(490, 706)(491, 707)(492, 708)(493, 709)(494, 710)(495, 711)(496, 712)(497, 713)(498, 714)(499, 715)(500, 716)(501, 717)(502, 718)(503, 719)(504, 720)(505, 721)(506, 722)(507, 723)(508, 724)(509, 725)(510, 726)(511, 727)(512, 728)(513, 729)(514, 730)(515, 731)(516, 732)(517, 733)(518, 734)(519, 735)(520, 736)(521, 737)(522, 738)(523, 739)(524, 740)(525, 741)(526, 742)(527, 743)(528, 744)(529, 745)(530, 746)(531, 747)(532, 748)(533, 749)(534, 750)(535, 751)(536, 752)(537, 753)(538, 754)(539, 755)(540, 756)(541, 757)(542, 758)(543, 759)(544, 760)(545, 761)(546, 762)(547, 763)(548, 764)(549, 765)(550, 766)(551, 767)(552, 768)(553, 769)(554, 770)(555, 771)(556, 772)(557, 773)(558, 774)(559, 775)(560, 776)(561, 777)(562, 778)(563, 779)(564, 780)(565, 781)(566, 782)(567, 783)(568, 784)(569, 785)(570, 786)(571, 787)(572, 788)(573, 789)(574, 790)(575, 791)(576, 792)(577, 793)(578, 794)(579, 795)(580, 796)(581, 797)(582, 798)(583, 799)(584, 800)(585, 801)(586, 802)(587, 803)(588, 804)(589, 805)(590, 806)(591, 807)(592, 808)(593, 809)(594, 810)(595, 811)(596, 812)(597, 813)(598, 814)(599, 815)(600, 816)(601, 817)(602, 818)(603, 819)(604, 820)(605, 821)(606, 822)(607, 823)(608, 824)(609, 825)(610, 826)(611, 827)(612, 828)(613, 829)(614, 830)(615, 831)(616, 832)(617, 833)(618, 834)(619, 835)(620, 836)(621, 837)(622, 838)(623, 839)(624, 840)(625, 841)(626, 842)(627, 843)(628, 844)(629, 845)(630, 846)(631, 847)(632, 848)(633, 849)(634, 850)(635, 851)(636, 852)(637, 853)(638, 854)(639, 855)(640, 856)(641, 857)(642, 858)(643, 859)(644, 860)(645, 861)(646, 862)(647, 863)(648, 864)
	L = (1, 435)(2, 439)(3, 442)(4, 444)(5, 433)(6, 449)(7, 451)(8, 434)(9, 436)(10, 458)(11, 460)(12, 463)(13, 465)(14, 467)(15, 437)(16, 471)(17, 473)(18, 438)(19, 478)(20, 480)(21, 483)(22, 440)(23, 488)(24, 441)(25, 443)(26, 495)(27, 482)(28, 475)(29, 485)(30, 445)(31, 503)(32, 484)(33, 506)(34, 508)(35, 509)(36, 446)(37, 512)(38, 447)(39, 515)(40, 448)(41, 520)(42, 522)(43, 525)(44, 450)(45, 452)(46, 531)(47, 524)(48, 517)(49, 526)(50, 536)(51, 537)(52, 453)(53, 540)(54, 454)(55, 534)(56, 543)(57, 455)(58, 541)(59, 456)(60, 547)(61, 457)(62, 459)(63, 552)(64, 521)(65, 545)(66, 461)(67, 544)(68, 528)(69, 462)(70, 464)(71, 558)(72, 466)(73, 469)(74, 549)(75, 468)(76, 523)(77, 560)(78, 516)(79, 554)(80, 561)(81, 562)(82, 470)(83, 565)(84, 489)(85, 492)(86, 472)(87, 474)(88, 570)(89, 567)(90, 500)(91, 497)(92, 499)(93, 572)(94, 573)(95, 476)(96, 575)(97, 477)(98, 479)(99, 579)(100, 511)(101, 513)(102, 481)(103, 505)(104, 566)(105, 582)(106, 507)(107, 487)(108, 583)(109, 584)(110, 486)(111, 587)(112, 490)(113, 588)(114, 491)(115, 585)(116, 493)(117, 591)(118, 494)(119, 496)(120, 595)(121, 581)(122, 498)(123, 501)(124, 502)(125, 504)(126, 598)(127, 510)(128, 600)(129, 601)(130, 602)(131, 603)(132, 514)(133, 604)(134, 533)(135, 535)(136, 518)(137, 519)(138, 608)(139, 539)(140, 563)(141, 609)(142, 527)(143, 610)(144, 529)(145, 530)(146, 532)(147, 616)(148, 556)(149, 538)(150, 617)(151, 618)(152, 619)(153, 620)(154, 542)(155, 621)(156, 622)(157, 546)(158, 548)(159, 623)(160, 550)(161, 551)(162, 553)(163, 564)(164, 555)(165, 557)(166, 624)(167, 559)(168, 628)(169, 627)(170, 626)(171, 625)(172, 632)(173, 568)(174, 569)(175, 571)(176, 636)(177, 637)(178, 638)(179, 574)(180, 576)(181, 577)(182, 578)(183, 580)(184, 586)(185, 642)(186, 641)(187, 640)(188, 639)(189, 643)(190, 644)(191, 645)(192, 589)(193, 590)(194, 592)(195, 593)(196, 594)(197, 596)(198, 597)(199, 599)(200, 646)(201, 605)(202, 606)(203, 607)(204, 611)(205, 648)(206, 647)(207, 612)(208, 613)(209, 614)(210, 615)(211, 631)(212, 630)(213, 629)(214, 633)(215, 634)(216, 635)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.3069
Graph:: simple bipartite
	v = 252 e = 432 f = 126
	degree seq :: [ 2^216, 12^36 ]

E28.3073 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = (C2 x C2 x ((C3 x C3) : C3)) : C2 (small group id <216, 60>)
Aut   = $<432, 324>$ (small group id <432, 324>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, Y1^6, Y1^6, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3^-1, Y3^-1 * Y1^-1 * Y3^3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1, Y3 * Y1^-1 * Y3^-2 * Y1 * Y3^-2 * Y1^-1 * Y3 * Y1^-1, Y1^-1 * Y3^-1 * Y1^2 * Y3^-2 * Y1^2 * Y3^-1 * Y1^-1, Y3^2 * Y1^-1 * Y3^3 * Y1^-2 * Y3^3 * Y1^-1, Y3 * Y1^-2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y3^-2 * Y1^-1, Y1 * Y3^-1 * Y1^2 * Y3^-1 * Y1 * Y3^-1 * Y1^2 * Y3^-1 * Y1^2, Y1^-1 * Y3^2 * Y1^-1 * Y3^-3 * Y1^-2 * Y3^-3, (Y3 * Y2^-1)^12 ]
Map:: polytopal
	R = (1, 217, 2, 218, 6, 222, 16, 232, 13, 229, 4, 220)(3, 219, 9, 225, 23, 239, 55, 271, 29, 245, 11, 227)(5, 221, 14, 230, 34, 250, 49, 265, 20, 236, 7, 223)(8, 224, 21, 237, 50, 266, 99, 315, 42, 258, 17, 233)(10, 226, 25, 241, 60, 276, 91, 307, 66, 282, 27, 243)(12, 228, 30, 246, 71, 287, 151, 367, 77, 293, 32, 248)(15, 231, 37, 253, 86, 302, 94, 310, 83, 299, 35, 251)(18, 234, 43, 259, 100, 316, 170, 386, 92, 308, 39, 255)(19, 235, 45, 261, 105, 321, 78, 294, 111, 327, 47, 263)(22, 238, 53, 269, 122, 338, 72, 288, 119, 335, 51, 267)(24, 240, 58, 274, 101, 317, 44, 260, 103, 319, 56, 272)(26, 242, 62, 278, 137, 353, 173, 389, 142, 358, 64, 280)(28, 244, 67, 283, 146, 362, 169, 385, 150, 366, 69, 285)(31, 247, 73, 289, 97, 313, 41, 257, 95, 311, 75, 291)(33, 249, 40, 256, 93, 309, 171, 387, 139, 355, 79, 295)(36, 252, 84, 300, 126, 342, 172, 388, 159, 375, 80, 296)(38, 254, 89, 305, 166, 382, 168, 384, 135, 351, 87, 303)(46, 262, 107, 323, 192, 408, 154, 370, 195, 411, 109, 325)(48, 264, 112, 328, 197, 413, 140, 356, 63, 279, 114, 330)(52, 268, 120, 336, 188, 404, 153, 369, 200, 416, 116, 332)(54, 270, 125, 341, 207, 423, 158, 374, 190, 406, 123, 339)(57, 273, 129, 345, 90, 306, 102, 318, 183, 399, 127, 343)(59, 275, 133, 349, 176, 392, 96, 312, 175, 391, 131, 347)(61, 277, 118, 334, 201, 417, 130, 346, 179, 395, 134, 350)(65, 281, 143, 359, 205, 421, 124, 340, 184, 400, 145, 361)(68, 284, 110, 326, 196, 412, 128, 344, 186, 402, 148, 364)(70, 286, 115, 331, 81, 297, 117, 333, 181, 397, 152, 368)(74, 290, 156, 372, 185, 401, 104, 320, 187, 403, 149, 365)(76, 292, 108, 324, 180, 396, 98, 314, 178, 394, 144, 360)(82, 298, 160, 376, 199, 415, 113, 329, 177, 393, 155, 371)(85, 301, 162, 378, 189, 405, 106, 322, 182, 398, 132, 348)(88, 304, 121, 337, 203, 419, 157, 373, 174, 390, 164, 380)(136, 352, 191, 407, 213, 429, 209, 425, 161, 377, 202, 418)(138, 354, 193, 409, 165, 381, 206, 422, 216, 432, 212, 428)(141, 357, 194, 410, 214, 430, 211, 427, 167, 383, 208, 424)(147, 363, 198, 414, 215, 431, 210, 426, 163, 379, 204, 420)(433, 649)(434, 650)(435, 651)(436, 652)(437, 653)(438, 654)(439, 655)(440, 656)(441, 657)(442, 658)(443, 659)(444, 660)(445, 661)(446, 662)(447, 663)(448, 664)(449, 665)(450, 666)(451, 667)(452, 668)(453, 669)(454, 670)(455, 671)(456, 672)(457, 673)(458, 674)(459, 675)(460, 676)(461, 677)(462, 678)(463, 679)(464, 680)(465, 681)(466, 682)(467, 683)(468, 684)(469, 685)(470, 686)(471, 687)(472, 688)(473, 689)(474, 690)(475, 691)(476, 692)(477, 693)(478, 694)(479, 695)(480, 696)(481, 697)(482, 698)(483, 699)(484, 700)(485, 701)(486, 702)(487, 703)(488, 704)(489, 705)(490, 706)(491, 707)(492, 708)(493, 709)(494, 710)(495, 711)(496, 712)(497, 713)(498, 714)(499, 715)(500, 716)(501, 717)(502, 718)(503, 719)(504, 720)(505, 721)(506, 722)(507, 723)(508, 724)(509, 725)(510, 726)(511, 727)(512, 728)(513, 729)(514, 730)(515, 731)(516, 732)(517, 733)(518, 734)(519, 735)(520, 736)(521, 737)(522, 738)(523, 739)(524, 740)(525, 741)(526, 742)(527, 743)(528, 744)(529, 745)(530, 746)(531, 747)(532, 748)(533, 749)(534, 750)(535, 751)(536, 752)(537, 753)(538, 754)(539, 755)(540, 756)(541, 757)(542, 758)(543, 759)(544, 760)(545, 761)(546, 762)(547, 763)(548, 764)(549, 765)(550, 766)(551, 767)(552, 768)(553, 769)(554, 770)(555, 771)(556, 772)(557, 773)(558, 774)(559, 775)(560, 776)(561, 777)(562, 778)(563, 779)(564, 780)(565, 781)(566, 782)(567, 783)(568, 784)(569, 785)(570, 786)(571, 787)(572, 788)(573, 789)(574, 790)(575, 791)(576, 792)(577, 793)(578, 794)(579, 795)(580, 796)(581, 797)(582, 798)(583, 799)(584, 800)(585, 801)(586, 802)(587, 803)(588, 804)(589, 805)(590, 806)(591, 807)(592, 808)(593, 809)(594, 810)(595, 811)(596, 812)(597, 813)(598, 814)(599, 815)(600, 816)(601, 817)(602, 818)(603, 819)(604, 820)(605, 821)(606, 822)(607, 823)(608, 824)(609, 825)(610, 826)(611, 827)(612, 828)(613, 829)(614, 830)(615, 831)(616, 832)(617, 833)(618, 834)(619, 835)(620, 836)(621, 837)(622, 838)(623, 839)(624, 840)(625, 841)(626, 842)(627, 843)(628, 844)(629, 845)(630, 846)(631, 847)(632, 848)(633, 849)(634, 850)(635, 851)(636, 852)(637, 853)(638, 854)(639, 855)(640, 856)(641, 857)(642, 858)(643, 859)(644, 860)(645, 861)(646, 862)(647, 863)(648, 864)
	L = (1, 435)(2, 439)(3, 442)(4, 444)(5, 433)(6, 449)(7, 451)(8, 434)(9, 436)(10, 458)(11, 460)(12, 463)(13, 465)(14, 467)(15, 437)(16, 471)(17, 473)(18, 438)(19, 478)(20, 480)(21, 483)(22, 440)(23, 488)(24, 441)(25, 443)(26, 495)(27, 497)(28, 500)(29, 502)(30, 445)(31, 506)(32, 508)(33, 510)(34, 512)(35, 514)(36, 446)(37, 519)(38, 447)(39, 523)(40, 448)(41, 528)(42, 530)(43, 533)(44, 450)(45, 452)(46, 540)(47, 542)(48, 545)(49, 547)(50, 548)(51, 550)(52, 453)(53, 555)(54, 454)(55, 559)(56, 560)(57, 455)(58, 563)(59, 456)(60, 566)(61, 457)(62, 459)(63, 571)(64, 573)(65, 576)(66, 524)(67, 461)(68, 579)(69, 581)(70, 583)(71, 554)(72, 462)(73, 464)(74, 582)(75, 589)(76, 577)(77, 584)(78, 590)(79, 572)(80, 586)(81, 466)(82, 593)(83, 569)(84, 564)(85, 468)(86, 596)(87, 597)(88, 469)(89, 561)(90, 470)(91, 600)(92, 601)(93, 518)(94, 472)(95, 474)(96, 499)(97, 609)(98, 611)(99, 513)(100, 522)(101, 614)(102, 475)(103, 617)(104, 476)(105, 621)(106, 477)(107, 479)(108, 509)(109, 626)(110, 501)(111, 511)(112, 481)(113, 630)(114, 496)(115, 487)(116, 491)(117, 482)(118, 634)(119, 624)(120, 520)(121, 484)(122, 637)(123, 638)(124, 485)(125, 516)(126, 486)(127, 605)(128, 641)(129, 633)(130, 489)(131, 625)(132, 490)(133, 632)(134, 612)(135, 492)(136, 493)(137, 644)(138, 494)(139, 613)(140, 635)(141, 619)(142, 615)(143, 498)(144, 639)(145, 636)(146, 608)(147, 616)(148, 604)(149, 640)(150, 602)(151, 620)(152, 603)(153, 503)(154, 504)(155, 505)(156, 507)(157, 629)(158, 610)(159, 618)(160, 515)(161, 628)(162, 642)(163, 517)(164, 623)(165, 607)(166, 643)(167, 521)(168, 544)(169, 594)(170, 549)(171, 558)(172, 525)(173, 526)(174, 527)(175, 529)(176, 646)(177, 546)(178, 531)(179, 647)(180, 541)(181, 532)(182, 568)(183, 556)(184, 534)(185, 648)(186, 535)(187, 552)(188, 536)(189, 578)(190, 537)(191, 538)(192, 570)(193, 539)(194, 574)(195, 591)(196, 543)(197, 598)(198, 580)(199, 585)(200, 592)(201, 551)(202, 587)(203, 595)(204, 553)(205, 645)(206, 567)(207, 599)(208, 557)(209, 575)(210, 562)(211, 565)(212, 588)(213, 606)(214, 627)(215, 631)(216, 622)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.3070
Graph:: simple bipartite
	v = 252 e = 432 f = 126
	degree seq :: [ 2^216, 12^36 ]

E28.3074 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 12})
Quotient :: regular
Aut^+ = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1 * T2 * T1^-1)^2, (T1^-3 * T2 * T1^-1)^2, (T2 * T1^-1)^6, (T2 * T1^-1)^6, T1^12, T2 * T1^3 * T2 * T1 * T2 * T1^3 * T2 * T1^-3 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 45, 80, 79, 44, 22, 10, 4)(3, 7, 15, 31, 59, 101, 134, 82, 46, 37, 18, 8)(6, 13, 27, 53, 43, 78, 130, 132, 81, 58, 30, 14)(9, 19, 38, 71, 118, 138, 85, 48, 24, 47, 40, 20)(12, 25, 49, 42, 21, 41, 76, 126, 131, 90, 52, 26)(16, 33, 63, 108, 70, 117, 149, 91, 148, 97, 56, 29)(17, 34, 65, 111, 133, 83, 135, 103, 60, 102, 67, 35)(28, 55, 94, 154, 100, 160, 129, 77, 128, 144, 88, 51)(32, 61, 104, 69, 36, 68, 115, 174, 186, 165, 107, 62)(39, 73, 122, 136, 84, 50, 87, 141, 119, 147, 123, 74)(54, 92, 150, 99, 57, 98, 158, 208, 185, 204, 153, 93)(64, 110, 168, 207, 157, 195, 177, 116, 176, 188, 163, 106)(66, 113, 172, 197, 161, 105, 159, 210, 169, 202, 152, 95)(72, 120, 178, 125, 75, 124, 181, 190, 137, 189, 179, 121)(86, 139, 191, 146, 89, 145, 198, 184, 127, 183, 194, 140)(96, 156, 206, 180, 200, 151, 199, 167, 109, 166, 193, 142)(112, 170, 192, 173, 114, 155, 205, 182, 187, 143, 196, 171)(162, 211, 215, 203, 164, 212, 216, 209, 175, 213, 214, 201)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 34)(20, 39)(22, 43)(23, 46)(25, 50)(26, 51)(27, 54)(30, 57)(31, 60)(33, 64)(35, 66)(37, 70)(38, 72)(40, 75)(41, 73)(42, 77)(44, 59)(45, 81)(47, 83)(48, 84)(49, 86)(52, 89)(53, 91)(55, 95)(56, 96)(58, 100)(61, 105)(62, 106)(63, 109)(65, 112)(67, 114)(68, 113)(69, 116)(71, 119)(74, 110)(76, 127)(78, 128)(79, 118)(80, 131)(82, 133)(85, 137)(87, 142)(88, 143)(90, 147)(92, 151)(93, 152)(94, 155)(97, 157)(98, 156)(99, 159)(101, 148)(102, 138)(103, 161)(104, 162)(107, 164)(108, 132)(111, 169)(115, 175)(117, 176)(120, 177)(121, 171)(122, 180)(123, 167)(124, 168)(125, 182)(126, 154)(129, 170)(130, 185)(134, 186)(135, 187)(136, 188)(139, 192)(140, 193)(141, 195)(144, 197)(145, 196)(146, 199)(149, 200)(150, 201)(153, 203)(158, 209)(160, 210)(163, 189)(165, 202)(166, 204)(172, 208)(173, 190)(174, 207)(178, 211)(179, 212)(181, 213)(183, 205)(184, 206)(191, 214)(194, 215)(198, 216)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E28.3077
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 12^18 ]

E28.3075 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 12})
Quotient :: regular
Aut^+ = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^2 * T2 * T1^2)^2, T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^5, (T1 * T2 * T1 * T2 * T1^2)^2, T1^12, (T1^-1 * T2)^6, (T2 * T1 * T2 * T1^2 * T2 * T1^-2)^2, (T2 * T1^2 * T2 * T1^-1 * T2 * T1^-2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 47, 90, 89, 46, 22, 10, 4)(3, 7, 15, 31, 63, 111, 144, 92, 48, 38, 18, 8)(6, 13, 27, 55, 45, 88, 125, 69, 91, 62, 30, 14)(9, 19, 39, 78, 129, 72, 95, 50, 24, 49, 42, 20)(12, 25, 51, 44, 21, 43, 85, 108, 143, 102, 54, 26)(16, 33, 67, 103, 77, 113, 60, 29, 59, 110, 70, 34)(17, 35, 71, 127, 81, 40, 80, 117, 64, 93, 74, 36)(28, 57, 106, 87, 116, 153, 100, 53, 99, 151, 109, 58)(32, 65, 118, 76, 37, 75, 132, 177, 190, 174, 121, 66)(41, 82, 138, 145, 94, 86, 142, 150, 98, 52, 97, 83)(56, 104, 156, 115, 61, 114, 166, 209, 179, 208, 159, 105)(68, 123, 176, 134, 163, 199, 172, 120, 165, 191, 178, 124)(73, 130, 168, 200, 169, 133, 158, 202, 171, 119, 161, 107)(79, 135, 184, 140, 84, 139, 187, 193, 146, 192, 185, 136)(96, 147, 194, 155, 101, 154, 203, 189, 141, 188, 197, 148)(112, 164, 205, 175, 122, 167, 196, 180, 126, 157, 198, 149)(128, 162, 195, 182, 131, 152, 201, 186, 137, 160, 204, 181)(170, 211, 215, 207, 173, 212, 216, 210, 183, 213, 214, 206)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 48)(25, 52)(26, 53)(27, 56)(30, 61)(31, 64)(33, 68)(34, 69)(35, 72)(36, 73)(38, 77)(39, 79)(42, 84)(43, 86)(44, 87)(46, 63)(47, 91)(49, 93)(50, 94)(51, 96)(54, 101)(55, 103)(57, 107)(58, 108)(59, 111)(60, 112)(62, 116)(65, 119)(66, 120)(67, 122)(70, 126)(71, 128)(74, 131)(75, 133)(76, 134)(78, 98)(80, 137)(81, 92)(82, 102)(83, 123)(85, 141)(88, 99)(89, 129)(90, 143)(95, 146)(97, 149)(100, 152)(104, 157)(105, 158)(106, 160)(109, 162)(110, 163)(113, 165)(114, 167)(115, 168)(117, 169)(118, 170)(121, 173)(124, 177)(125, 179)(127, 171)(130, 174)(132, 183)(135, 178)(136, 182)(138, 180)(139, 172)(140, 181)(142, 175)(144, 190)(145, 191)(147, 195)(148, 196)(150, 199)(151, 200)(153, 202)(154, 204)(155, 205)(156, 206)(159, 207)(161, 209)(164, 208)(166, 210)(176, 192)(184, 211)(185, 212)(186, 193)(187, 213)(188, 201)(189, 198)(194, 214)(197, 215)(203, 216)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E28.3076
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 12^18 ]

E28.3076 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 12})
Quotient :: regular
Aut^+ = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, T1^-2 * T2 * T1 * T2 * T1^3 * T2 * T1 * T2 * T1^-1, T2 * T1^2 * T2 * T1^2 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1, (T1^-1 * T2)^12 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 29, 18, 8)(6, 13, 25, 48, 28, 14)(9, 19, 36, 68, 39, 20)(12, 23, 44, 83, 47, 24)(16, 31, 58, 81, 61, 32)(17, 33, 62, 80, 65, 34)(21, 40, 75, 132, 78, 41)(22, 42, 79, 135, 82, 43)(26, 50, 93, 77, 96, 51)(27, 52, 97, 76, 100, 53)(30, 56, 104, 137, 107, 57)(35, 66, 120, 136, 123, 67)(37, 70, 88, 46, 87, 71)(38, 72, 86, 45, 85, 73)(49, 91, 147, 134, 150, 92)(54, 101, 163, 133, 166, 102)(55, 103, 167, 182, 138, 90)(59, 109, 151, 122, 174, 110)(60, 111, 143, 121, 176, 112)(63, 115, 169, 106, 157, 116)(64, 117, 168, 105, 141, 118)(69, 124, 146, 89, 145, 125)(74, 130, 140, 84, 139, 131)(94, 152, 129, 165, 192, 153)(95, 154, 113, 164, 194, 155)(98, 158, 190, 149, 127, 159)(99, 160, 189, 148, 119, 161)(108, 171, 200, 181, 126, 172)(114, 177, 128, 170, 199, 178)(142, 184, 156, 188, 207, 185)(144, 186, 205, 183, 162, 187)(173, 195, 180, 193, 208, 202)(175, 196, 206, 201, 179, 191)(197, 210, 203, 214, 215, 212)(198, 213, 216, 209, 204, 211)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 35)(19, 37)(20, 38)(23, 45)(24, 46)(25, 49)(28, 54)(29, 55)(31, 59)(32, 60)(33, 63)(34, 64)(36, 69)(39, 74)(40, 76)(41, 77)(42, 80)(43, 81)(44, 84)(47, 89)(48, 90)(50, 94)(51, 95)(52, 98)(53, 99)(56, 105)(57, 106)(58, 108)(61, 113)(62, 114)(65, 119)(66, 121)(67, 122)(68, 103)(70, 126)(71, 127)(72, 128)(73, 129)(75, 133)(78, 134)(79, 136)(82, 137)(83, 138)(85, 141)(86, 142)(87, 143)(88, 144)(91, 148)(92, 149)(93, 151)(96, 156)(97, 157)(100, 162)(101, 164)(102, 165)(104, 160)(107, 170)(109, 173)(110, 166)(111, 175)(112, 140)(115, 150)(116, 179)(117, 146)(118, 180)(120, 155)(123, 181)(124, 153)(125, 178)(130, 158)(131, 171)(132, 167)(135, 182)(139, 183)(145, 188)(147, 186)(152, 191)(154, 193)(159, 195)(161, 196)(163, 185)(168, 197)(169, 198)(172, 201)(174, 203)(176, 204)(177, 202)(184, 206)(187, 208)(189, 209)(190, 210)(192, 211)(194, 212)(199, 214)(200, 213)(205, 215)(207, 216)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.3075
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 36 e = 108 f = 18
	degree seq :: [ 6^36 ]

E28.3077 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 12})
Quotient :: regular
Aut^+ = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T2 * T1 * T2 * T1^-1)^2, T2 * T1^-3 * T2 * T1^-2 * T2 * T1^3 * T2 * T1^-2, (T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1)^2, (T1 * T2)^12 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 29, 18, 8)(6, 13, 25, 46, 28, 14)(9, 19, 35, 61, 37, 20)(12, 23, 42, 73, 45, 24)(16, 31, 54, 84, 49, 27)(17, 32, 56, 95, 58, 33)(21, 38, 66, 111, 68, 39)(22, 40, 69, 115, 72, 41)(26, 48, 81, 126, 76, 44)(30, 52, 89, 119, 92, 53)(34, 59, 100, 116, 102, 60)(36, 63, 106, 164, 108, 64)(43, 75, 123, 172, 118, 71)(47, 79, 131, 114, 134, 80)(50, 85, 140, 112, 142, 86)(51, 87, 143, 173, 120, 88)(55, 94, 152, 185, 148, 91)(57, 97, 157, 175, 124, 98)(62, 104, 128, 77, 127, 105)(65, 109, 122, 74, 121, 110)(67, 70, 117, 169, 167, 113)(78, 129, 103, 162, 168, 130)(82, 136, 107, 166, 184, 133)(83, 137, 188, 160, 170, 138)(90, 147, 194, 204, 180, 145)(93, 150, 197, 161, 179, 151)(96, 155, 171, 149, 196, 156)(99, 159, 193, 146, 182, 132)(101, 144, 192, 205, 186, 135)(125, 177, 208, 191, 165, 178)(139, 190, 154, 183, 206, 174)(141, 181, 163, 203, 207, 176)(153, 199, 158, 202, 209, 198)(187, 212, 189, 214, 200, 211)(195, 215, 216, 213, 201, 210)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 34)(19, 32)(20, 36)(23, 43)(24, 44)(25, 47)(28, 50)(29, 51)(31, 55)(33, 57)(35, 62)(37, 65)(38, 63)(39, 67)(40, 70)(41, 71)(42, 74)(45, 77)(46, 78)(48, 82)(49, 83)(52, 90)(53, 91)(54, 93)(56, 96)(58, 99)(59, 97)(60, 101)(61, 103)(64, 107)(66, 112)(68, 114)(69, 116)(72, 119)(73, 120)(75, 124)(76, 125)(79, 132)(80, 133)(81, 135)(84, 139)(85, 137)(86, 141)(87, 144)(88, 145)(89, 146)(92, 149)(94, 153)(95, 154)(98, 158)(100, 160)(102, 161)(104, 163)(105, 156)(106, 165)(108, 147)(109, 166)(110, 150)(111, 143)(113, 152)(115, 168)(117, 170)(118, 171)(121, 174)(122, 175)(123, 176)(126, 179)(127, 177)(128, 180)(129, 181)(130, 182)(131, 183)(134, 185)(136, 187)(138, 189)(140, 191)(142, 192)(148, 195)(151, 198)(155, 200)(157, 201)(159, 202)(162, 197)(164, 193)(167, 203)(169, 204)(172, 205)(173, 206)(178, 209)(184, 210)(186, 211)(188, 213)(190, 214)(194, 212)(196, 215)(199, 207)(208, 216)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.3074
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 36 e = 108 f = 18
	degree seq :: [ 6^36 ]

E28.3078 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 12})
Quotient :: edge
Aut^+ = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T1 * T2^-1 * T1 * T2)^2, T2 * T1 * T2^3 * T1 * T2^2 * T1 * T2^-3 * T1 * T2, (T2 * T1 * T2^-3 * T1 * T2)^2, (T2 * T1 * T2 * T1 * T2 * T1 * T2)^2 ]
Map:: polytopal
	R = (1, 3, 8, 18, 10, 4)(2, 5, 12, 25, 14, 6)(7, 15, 30, 54, 31, 16)(9, 19, 35, 62, 37, 20)(11, 22, 41, 72, 42, 23)(13, 26, 46, 80, 48, 27)(17, 32, 57, 98, 58, 33)(21, 38, 66, 112, 68, 39)(24, 43, 75, 126, 76, 44)(28, 49, 84, 140, 86, 50)(29, 51, 88, 145, 89, 52)(34, 59, 101, 161, 102, 60)(36, 63, 106, 165, 108, 64)(40, 69, 116, 170, 117, 70)(45, 77, 129, 186, 130, 78)(47, 81, 134, 190, 136, 82)(53, 90, 147, 114, 148, 91)(55, 93, 151, 111, 153, 94)(56, 95, 154, 201, 155, 96)(61, 103, 159, 99, 158, 104)(65, 109, 157, 97, 156, 110)(67, 100, 160, 202, 167, 113)(71, 118, 172, 142, 173, 119)(73, 121, 176, 139, 178, 122)(74, 123, 179, 212, 180, 124)(79, 131, 184, 127, 183, 132)(83, 137, 182, 125, 181, 138)(85, 128, 185, 213, 192, 141)(87, 143, 107, 166, 194, 144)(92, 149, 105, 163, 198, 150)(115, 168, 135, 191, 205, 169)(120, 174, 133, 188, 209, 175)(146, 195, 215, 199, 164, 196)(152, 197, 162, 203, 204, 200)(171, 206, 216, 210, 189, 207)(177, 208, 187, 214, 193, 211)(217, 218)(219, 223)(220, 225)(221, 227)(222, 229)(224, 233)(226, 237)(228, 240)(230, 244)(231, 245)(232, 239)(234, 250)(235, 242)(236, 252)(238, 256)(241, 261)(243, 263)(246, 269)(247, 271)(248, 272)(249, 268)(251, 277)(253, 281)(254, 279)(255, 283)(257, 287)(258, 289)(259, 290)(260, 286)(262, 295)(264, 299)(265, 297)(266, 301)(267, 303)(270, 308)(273, 313)(274, 315)(275, 316)(276, 312)(278, 321)(280, 323)(282, 327)(284, 330)(285, 331)(288, 336)(291, 341)(292, 343)(293, 344)(294, 340)(296, 349)(298, 351)(300, 355)(302, 358)(304, 357)(305, 362)(306, 354)(307, 360)(309, 337)(310, 368)(311, 352)(314, 346)(317, 356)(318, 342)(319, 378)(320, 348)(322, 380)(324, 339)(325, 382)(326, 334)(328, 345)(329, 332)(333, 387)(335, 385)(338, 393)(347, 403)(350, 405)(353, 407)(359, 409)(361, 389)(363, 404)(364, 386)(365, 413)(366, 397)(367, 415)(369, 401)(370, 416)(371, 400)(372, 391)(373, 406)(374, 411)(375, 396)(376, 394)(377, 414)(379, 388)(381, 398)(383, 419)(384, 420)(390, 424)(392, 426)(395, 427)(399, 422)(402, 425)(408, 430)(410, 423)(412, 421)(417, 429)(418, 428)(431, 432)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 24, 24 ), ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E28.3087
Transitivity :: ET+
Graph:: simple bipartite
	v = 144 e = 216 f = 18
	degree seq :: [ 2^108, 6^36 ]

E28.3079 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 12})
Quotient :: edge
Aut^+ = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, T2^-2 * T1 * T2^-1 * T1 * T2^3 * T1 * T2^-1 * T1 * T2^-1, T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^2 * T1 * T2 * T1, T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^2 * T1 * T2^-1, (T2^-1 * T1)^12 ]
Map:: polytopal
	R = (1, 3, 8, 18, 10, 4)(2, 5, 12, 25, 14, 6)(7, 15, 30, 58, 32, 16)(9, 19, 37, 71, 39, 20)(11, 22, 43, 82, 45, 23)(13, 26, 50, 95, 52, 27)(17, 33, 63, 118, 65, 34)(21, 40, 76, 133, 78, 41)(24, 46, 87, 150, 89, 47)(28, 53, 100, 165, 102, 54)(29, 55, 104, 77, 106, 56)(31, 59, 110, 75, 112, 60)(35, 66, 122, 181, 123, 67)(36, 68, 120, 64, 119, 69)(38, 72, 116, 62, 115, 73)(42, 79, 136, 101, 138, 80)(44, 83, 142, 99, 144, 84)(48, 90, 154, 196, 155, 91)(49, 92, 152, 88, 151, 93)(51, 96, 148, 86, 147, 97)(57, 107, 170, 134, 156, 108)(61, 113, 175, 132, 137, 114)(70, 126, 160, 121, 180, 127)(74, 130, 143, 117, 178, 131)(81, 139, 185, 166, 124, 140)(85, 145, 190, 164, 105, 146)(94, 158, 128, 153, 195, 159)(98, 162, 111, 149, 193, 163)(103, 167, 129, 176, 197, 168)(109, 172, 201, 171, 125, 173)(135, 182, 161, 191, 205, 183)(141, 187, 209, 186, 157, 188)(169, 198, 213, 204, 177, 199)(174, 202, 179, 200, 214, 203)(184, 206, 215, 212, 192, 207)(189, 210, 194, 208, 216, 211)(217, 218)(219, 223)(220, 225)(221, 227)(222, 229)(224, 233)(226, 237)(228, 240)(230, 244)(231, 245)(232, 247)(234, 251)(235, 252)(236, 254)(238, 258)(239, 260)(241, 264)(242, 265)(243, 267)(246, 273)(248, 277)(249, 278)(250, 280)(253, 286)(255, 290)(256, 291)(257, 293)(259, 297)(261, 301)(262, 302)(263, 304)(266, 310)(268, 314)(269, 315)(270, 317)(271, 319)(272, 321)(274, 307)(275, 325)(276, 327)(279, 333)(281, 337)(282, 311)(283, 298)(284, 340)(285, 341)(287, 306)(288, 344)(289, 345)(292, 348)(294, 350)(295, 351)(296, 353)(299, 357)(300, 359)(303, 365)(305, 369)(308, 372)(309, 373)(312, 376)(313, 377)(316, 380)(318, 382)(320, 352)(322, 385)(323, 379)(324, 387)(326, 367)(328, 390)(329, 361)(330, 392)(331, 363)(332, 393)(334, 371)(335, 358)(336, 395)(338, 381)(339, 366)(342, 384)(343, 375)(346, 388)(347, 355)(349, 370)(354, 400)(356, 402)(360, 405)(362, 407)(364, 408)(368, 410)(374, 399)(378, 403)(383, 404)(386, 416)(389, 398)(391, 420)(394, 419)(396, 414)(397, 412)(401, 424)(406, 428)(409, 427)(411, 422)(413, 426)(415, 425)(417, 423)(418, 421)(429, 432)(430, 431)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 24, 24 ), ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E28.3086
Transitivity :: ET+
Graph:: simple bipartite
	v = 144 e = 216 f = 18
	degree seq :: [ 2^108, 6^36 ]

E28.3080 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 12})
Quotient :: edge
Aut^+ = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, T1^6, T1^6, (T2 * T1^-2 * T2)^2, (T2^3 * T1^-1)^2, T2 * T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2 * T1^-2 * T2^-2 * T1^-1, T1^-1 * T2^-1 * T1 * T2^5 * T1^-1 * T2^-2 * T1^-1, (T2 * T1^-1)^6, T2^12 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 26, 63, 125, 156, 147, 82, 38, 15, 5)(2, 7, 19, 46, 99, 172, 114, 184, 110, 54, 22, 8)(4, 12, 31, 72, 136, 168, 96, 167, 119, 59, 24, 9)(6, 17, 41, 88, 159, 142, 79, 144, 166, 95, 44, 18)(11, 28, 66, 37, 81, 133, 69, 132, 192, 123, 61, 25)(13, 33, 75, 118, 188, 121, 60, 120, 189, 134, 70, 30)(14, 35, 78, 127, 157, 87, 42, 90, 62, 27, 64, 36)(16, 39, 83, 149, 202, 179, 107, 181, 207, 155, 86, 40)(20, 48, 102, 53, 109, 57, 23, 56, 113, 170, 97, 45)(21, 51, 106, 174, 201, 148, 84, 150, 98, 47, 100, 52)(29, 68, 34, 77, 141, 193, 124, 162, 146, 195, 128, 65)(32, 73, 117, 58, 116, 154, 85, 153, 206, 186, 135, 71)(43, 93, 165, 208, 199, 138, 76, 139, 158, 89, 160, 94)(49, 104, 50, 105, 178, 212, 171, 115, 183, 214, 175, 101)(55, 111, 185, 215, 176, 103, 177, 211, 169, 137, 74, 112)(67, 130, 191, 122, 190, 140, 187, 131, 197, 210, 196, 129)(80, 126, 194, 209, 161, 91, 163, 92, 164, 143, 200, 145)(108, 173, 213, 198, 203, 151, 204, 152, 205, 180, 216, 182)(217, 218, 222, 232, 229, 220)(219, 225, 239, 271, 245, 227)(221, 230, 250, 265, 236, 223)(224, 237, 266, 307, 258, 233)(226, 241, 276, 309, 260, 243)(228, 246, 285, 347, 290, 248)(231, 253, 291, 354, 295, 251)(234, 259, 308, 367, 300, 255)(235, 261, 312, 369, 302, 263)(238, 269, 247, 287, 323, 267)(240, 274, 299, 364, 330, 272)(242, 278, 340, 399, 325, 270)(244, 281, 343, 380, 310, 283)(249, 256, 301, 368, 356, 292)(252, 296, 355, 406, 339, 293)(254, 288, 318, 392, 362, 297)(257, 303, 372, 348, 286, 305)(262, 314, 387, 342, 280, 311)(264, 317, 390, 421, 370, 319)(268, 324, 289, 353, 386, 321)(273, 331, 366, 419, 402, 327)(275, 334, 282, 345, 393, 332)(277, 338, 401, 422, 384, 336)(279, 326, 375, 423, 404, 335)(284, 328, 403, 420, 379, 320)(294, 358, 400, 417, 391, 359)(298, 315, 382, 418, 405, 352)(304, 374, 361, 389, 316, 371)(306, 377, 424, 413, 349, 378)(313, 385, 357, 408, 341, 383)(322, 395, 360, 415, 425, 396)(329, 388, 363, 373, 344, 394)(333, 398, 346, 376, 350, 365)(337, 397, 351, 414, 426, 381)(407, 432, 410, 428, 411, 431)(409, 427, 412, 429, 416, 430)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4^6 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E28.3089
Transitivity :: ET+
Graph:: simple bipartite
	v = 54 e = 216 f = 108
	degree seq :: [ 6^36, 12^18 ]

E28.3081 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 12})
Quotient :: edge
Aut^+ = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (F * T1)^2, (F * T2)^2, T1^6, T2 * T1^-1 * T2^-1 * T1 * T2^2 * T1^2, (T2 * T1^-1 * T2^2)^2, T1 * T2^-2 * T1^-1 * T2 * T1 * T2^-1 * T1^3, (T1^-1 * T2 * T1^-2 * T2)^2, T2^3 * T1 * T2^-3 * T1^-1 * T2^2 * T1^-2, T2^12 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 26, 62, 123, 162, 144, 81, 38, 15, 5)(2, 7, 19, 46, 96, 167, 133, 180, 108, 54, 22, 8)(4, 12, 31, 70, 132, 179, 106, 172, 116, 58, 24, 9)(6, 17, 41, 86, 154, 124, 64, 126, 164, 94, 44, 18)(11, 28, 66, 37, 80, 140, 184, 136, 191, 120, 60, 25)(13, 33, 74, 115, 185, 143, 79, 128, 188, 118, 59, 30)(14, 35, 42, 88, 157, 93, 163, 122, 61, 27, 63, 36)(16, 39, 82, 145, 196, 168, 98, 170, 204, 152, 85, 40)(20, 48, 100, 53, 107, 176, 131, 71, 112, 56, 23, 45)(21, 51, 83, 147, 199, 151, 203, 166, 95, 47, 97, 52)(29, 68, 130, 158, 141, 77, 34, 76, 139, 192, 121, 65)(32, 72, 114, 57, 113, 182, 195, 146, 197, 150, 84, 69)(43, 91, 75, 137, 187, 117, 186, 206, 153, 87, 155, 92)(49, 102, 174, 111, 177, 104, 50, 103, 175, 208, 165, 99)(55, 109, 181, 209, 193, 134, 73, 135, 171, 101, 173, 110)(67, 129, 190, 119, 189, 211, 215, 210, 194, 138, 183, 127)(78, 125, 161, 90, 160, 207, 214, 205, 156, 89, 159, 142)(105, 169, 202, 149, 201, 213, 216, 212, 198, 148, 200, 178)(217, 218, 222, 232, 229, 220)(219, 225, 239, 271, 245, 227)(221, 230, 250, 265, 236, 223)(224, 237, 266, 305, 258, 233)(226, 241, 275, 333, 280, 243)(228, 246, 276, 335, 289, 248)(231, 253, 295, 303, 257, 251)(234, 259, 306, 364, 299, 255)(235, 261, 240, 273, 314, 263)(238, 269, 322, 362, 298, 267)(242, 277, 337, 391, 323, 270)(244, 281, 338, 376, 308, 283)(247, 285, 301, 367, 349, 287)(249, 256, 300, 365, 354, 291)(252, 294, 353, 410, 356, 292)(254, 286, 347, 409, 355, 296)(260, 309, 378, 352, 290, 307)(262, 311, 381, 423, 379, 310)(264, 315, 382, 417, 366, 317)(268, 321, 288, 350, 392, 319)(272, 327, 363, 414, 398, 325)(274, 331, 400, 426, 397, 329)(278, 324, 370, 420, 401, 332)(279, 340, 396, 415, 390, 341)(282, 343, 389, 413, 395, 344)(284, 326, 399, 418, 375, 320)(293, 351, 406, 416, 377, 318)(297, 312, 380, 412, 404, 348)(302, 369, 421, 429, 419, 368)(304, 372, 422, 405, 336, 374)(313, 384, 342, 403, 358, 385)(316, 387, 357, 407, 339, 388)(328, 383, 360, 373, 346, 393)(330, 394, 345, 371, 359, 386)(334, 361, 411, 428, 427, 402)(408, 425, 431, 432, 430, 424)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4^6 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E28.3088
Transitivity :: ET+
Graph:: simple bipartite
	v = 54 e = 216 f = 108
	degree seq :: [ 6^36, 12^18 ]

E28.3082 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 12})
Quotient :: edge
Aut^+ = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1 * T2 * T1^-1)^2, (T1^-3 * T2 * T1^-1)^2, (T2 * T1^-1)^6, (T2 * T1^-1)^6, T1^12, T2 * T1^3 * T2 * T1 * T2 * T1^3 * T2 * T1^-3 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 34)(20, 39)(22, 43)(23, 46)(25, 50)(26, 51)(27, 54)(30, 57)(31, 60)(33, 64)(35, 66)(37, 70)(38, 72)(40, 75)(41, 73)(42, 77)(44, 59)(45, 81)(47, 83)(48, 84)(49, 86)(52, 89)(53, 91)(55, 95)(56, 96)(58, 100)(61, 105)(62, 106)(63, 109)(65, 112)(67, 114)(68, 113)(69, 116)(71, 119)(74, 110)(76, 127)(78, 128)(79, 118)(80, 131)(82, 133)(85, 137)(87, 142)(88, 143)(90, 147)(92, 151)(93, 152)(94, 155)(97, 157)(98, 156)(99, 159)(101, 148)(102, 138)(103, 161)(104, 162)(107, 164)(108, 132)(111, 169)(115, 175)(117, 176)(120, 177)(121, 171)(122, 180)(123, 167)(124, 168)(125, 182)(126, 154)(129, 170)(130, 185)(134, 186)(135, 187)(136, 188)(139, 192)(140, 193)(141, 195)(144, 197)(145, 196)(146, 199)(149, 200)(150, 201)(153, 203)(158, 209)(160, 210)(163, 189)(165, 202)(166, 204)(172, 208)(173, 190)(174, 207)(178, 211)(179, 212)(181, 213)(183, 205)(184, 206)(191, 214)(194, 215)(198, 216)(217, 218, 221, 227, 239, 261, 296, 295, 260, 238, 226, 220)(219, 223, 231, 247, 275, 317, 350, 298, 262, 253, 234, 224)(222, 229, 243, 269, 259, 294, 346, 348, 297, 274, 246, 230)(225, 235, 254, 287, 334, 354, 301, 264, 240, 263, 256, 236)(228, 241, 265, 258, 237, 257, 292, 342, 347, 306, 268, 242)(232, 249, 279, 324, 286, 333, 365, 307, 364, 313, 272, 245)(233, 250, 281, 327, 349, 299, 351, 319, 276, 318, 283, 251)(244, 271, 310, 370, 316, 376, 345, 293, 344, 360, 304, 267)(248, 277, 320, 285, 252, 284, 331, 390, 402, 381, 323, 278)(255, 289, 338, 352, 300, 266, 303, 357, 335, 363, 339, 290)(270, 308, 366, 315, 273, 314, 374, 424, 401, 420, 369, 309)(280, 326, 384, 423, 373, 411, 393, 332, 392, 404, 379, 322)(282, 329, 388, 413, 377, 321, 375, 426, 385, 418, 368, 311)(288, 336, 394, 341, 291, 340, 397, 406, 353, 405, 395, 337)(302, 355, 407, 362, 305, 361, 414, 400, 343, 399, 410, 356)(312, 372, 422, 396, 416, 367, 415, 383, 325, 382, 409, 358)(328, 386, 408, 389, 330, 371, 421, 398, 403, 359, 412, 387)(378, 427, 431, 419, 380, 428, 432, 425, 391, 429, 430, 417)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 12, 12 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E28.3084
Transitivity :: ET+
Graph:: simple bipartite
	v = 126 e = 216 f = 36
	degree seq :: [ 2^108, 12^18 ]

E28.3083 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 12})
Quotient :: edge
Aut^+ = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2 * T1^-2)^2, (T1^-1 * T2 * T1^-1 * T2 * T1^-2)^2, T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^5, T1^12, (T2 * T1^-1)^6, (T2 * T1 * T2 * T1^2 * T2 * T1^-2)^2, (T2 * T1^2 * T2 * T1^-1 * T2 * T1^-2)^2 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 48)(25, 52)(26, 53)(27, 56)(30, 61)(31, 64)(33, 68)(34, 69)(35, 72)(36, 73)(38, 77)(39, 79)(42, 84)(43, 86)(44, 87)(46, 63)(47, 91)(49, 93)(50, 94)(51, 96)(54, 101)(55, 103)(57, 107)(58, 108)(59, 111)(60, 112)(62, 116)(65, 119)(66, 120)(67, 122)(70, 126)(71, 128)(74, 131)(75, 133)(76, 134)(78, 98)(80, 137)(81, 92)(82, 102)(83, 123)(85, 141)(88, 99)(89, 129)(90, 143)(95, 146)(97, 149)(100, 152)(104, 157)(105, 158)(106, 160)(109, 162)(110, 163)(113, 165)(114, 167)(115, 168)(117, 169)(118, 170)(121, 173)(124, 177)(125, 179)(127, 171)(130, 174)(132, 183)(135, 178)(136, 182)(138, 180)(139, 172)(140, 181)(142, 175)(144, 190)(145, 191)(147, 195)(148, 196)(150, 199)(151, 200)(153, 202)(154, 204)(155, 205)(156, 206)(159, 207)(161, 209)(164, 208)(166, 210)(176, 192)(184, 211)(185, 212)(186, 193)(187, 213)(188, 201)(189, 198)(194, 214)(197, 215)(203, 216)(217, 218, 221, 227, 239, 263, 306, 305, 262, 238, 226, 220)(219, 223, 231, 247, 279, 327, 360, 308, 264, 254, 234, 224)(222, 229, 243, 271, 261, 304, 341, 285, 307, 278, 246, 230)(225, 235, 255, 294, 345, 288, 311, 266, 240, 265, 258, 236)(228, 241, 267, 260, 237, 259, 301, 324, 359, 318, 270, 242)(232, 249, 283, 319, 293, 329, 276, 245, 275, 326, 286, 250)(233, 251, 287, 343, 297, 256, 296, 333, 280, 309, 290, 252)(244, 273, 322, 303, 332, 369, 316, 269, 315, 367, 325, 274)(248, 281, 334, 292, 253, 291, 348, 393, 406, 390, 337, 282)(257, 298, 354, 361, 310, 302, 358, 366, 314, 268, 313, 299)(272, 320, 372, 331, 277, 330, 382, 425, 395, 424, 375, 321)(284, 339, 392, 350, 379, 415, 388, 336, 381, 407, 394, 340)(289, 346, 384, 416, 385, 349, 374, 418, 387, 335, 377, 323)(295, 351, 400, 356, 300, 355, 403, 409, 362, 408, 401, 352)(312, 363, 410, 371, 317, 370, 419, 405, 357, 404, 413, 364)(328, 380, 421, 391, 338, 383, 412, 396, 342, 373, 414, 365)(344, 378, 411, 398, 347, 368, 417, 402, 353, 376, 420, 397)(386, 427, 431, 423, 389, 428, 432, 426, 399, 429, 430, 422)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 12, 12 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E28.3085
Transitivity :: ET+
Graph:: simple bipartite
	v = 126 e = 216 f = 36
	degree seq :: [ 2^108, 12^18 ]

E28.3084 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 12})
Quotient :: loop
Aut^+ = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T1 * T2^-1 * T1 * T2)^2, T2 * T1 * T2^3 * T1 * T2^2 * T1 * T2^-3 * T1 * T2, (T2 * T1 * T2^-3 * T1 * T2)^2, (T2 * T1 * T2 * T1 * T2 * T1 * T2)^2 ]
Map::
	R = (1, 217, 3, 219, 8, 224, 18, 234, 10, 226, 4, 220)(2, 218, 5, 221, 12, 228, 25, 241, 14, 230, 6, 222)(7, 223, 15, 231, 30, 246, 54, 270, 31, 247, 16, 232)(9, 225, 19, 235, 35, 251, 62, 278, 37, 253, 20, 236)(11, 227, 22, 238, 41, 257, 72, 288, 42, 258, 23, 239)(13, 229, 26, 242, 46, 262, 80, 296, 48, 264, 27, 243)(17, 233, 32, 248, 57, 273, 98, 314, 58, 274, 33, 249)(21, 237, 38, 254, 66, 282, 112, 328, 68, 284, 39, 255)(24, 240, 43, 259, 75, 291, 126, 342, 76, 292, 44, 260)(28, 244, 49, 265, 84, 300, 140, 356, 86, 302, 50, 266)(29, 245, 51, 267, 88, 304, 145, 361, 89, 305, 52, 268)(34, 250, 59, 275, 101, 317, 161, 377, 102, 318, 60, 276)(36, 252, 63, 279, 106, 322, 165, 381, 108, 324, 64, 280)(40, 256, 69, 285, 116, 332, 170, 386, 117, 333, 70, 286)(45, 261, 77, 293, 129, 345, 186, 402, 130, 346, 78, 294)(47, 263, 81, 297, 134, 350, 190, 406, 136, 352, 82, 298)(53, 269, 90, 306, 147, 363, 114, 330, 148, 364, 91, 307)(55, 271, 93, 309, 151, 367, 111, 327, 153, 369, 94, 310)(56, 272, 95, 311, 154, 370, 201, 417, 155, 371, 96, 312)(61, 277, 103, 319, 159, 375, 99, 315, 158, 374, 104, 320)(65, 281, 109, 325, 157, 373, 97, 313, 156, 372, 110, 326)(67, 283, 100, 316, 160, 376, 202, 418, 167, 383, 113, 329)(71, 287, 118, 334, 172, 388, 142, 358, 173, 389, 119, 335)(73, 289, 121, 337, 176, 392, 139, 355, 178, 394, 122, 338)(74, 290, 123, 339, 179, 395, 212, 428, 180, 396, 124, 340)(79, 295, 131, 347, 184, 400, 127, 343, 183, 399, 132, 348)(83, 299, 137, 353, 182, 398, 125, 341, 181, 397, 138, 354)(85, 301, 128, 344, 185, 401, 213, 429, 192, 408, 141, 357)(87, 303, 143, 359, 107, 323, 166, 382, 194, 410, 144, 360)(92, 308, 149, 365, 105, 321, 163, 379, 198, 414, 150, 366)(115, 331, 168, 384, 135, 351, 191, 407, 205, 421, 169, 385)(120, 336, 174, 390, 133, 349, 188, 404, 209, 425, 175, 391)(146, 362, 195, 411, 215, 431, 199, 415, 164, 380, 196, 412)(152, 368, 197, 413, 162, 378, 203, 419, 204, 420, 200, 416)(171, 387, 206, 422, 216, 432, 210, 426, 189, 405, 207, 423)(177, 393, 208, 424, 187, 403, 214, 430, 193, 409, 211, 427)
	L = (1, 218)(2, 217)(3, 223)(4, 225)(5, 227)(6, 229)(7, 219)(8, 233)(9, 220)(10, 237)(11, 221)(12, 240)(13, 222)(14, 244)(15, 245)(16, 239)(17, 224)(18, 250)(19, 242)(20, 252)(21, 226)(22, 256)(23, 232)(24, 228)(25, 261)(26, 235)(27, 263)(28, 230)(29, 231)(30, 269)(31, 271)(32, 272)(33, 268)(34, 234)(35, 277)(36, 236)(37, 281)(38, 279)(39, 283)(40, 238)(41, 287)(42, 289)(43, 290)(44, 286)(45, 241)(46, 295)(47, 243)(48, 299)(49, 297)(50, 301)(51, 303)(52, 249)(53, 246)(54, 308)(55, 247)(56, 248)(57, 313)(58, 315)(59, 316)(60, 312)(61, 251)(62, 321)(63, 254)(64, 323)(65, 253)(66, 327)(67, 255)(68, 330)(69, 331)(70, 260)(71, 257)(72, 336)(73, 258)(74, 259)(75, 341)(76, 343)(77, 344)(78, 340)(79, 262)(80, 349)(81, 265)(82, 351)(83, 264)(84, 355)(85, 266)(86, 358)(87, 267)(88, 357)(89, 362)(90, 354)(91, 360)(92, 270)(93, 337)(94, 368)(95, 352)(96, 276)(97, 273)(98, 346)(99, 274)(100, 275)(101, 356)(102, 342)(103, 378)(104, 348)(105, 278)(106, 380)(107, 280)(108, 339)(109, 382)(110, 334)(111, 282)(112, 345)(113, 332)(114, 284)(115, 285)(116, 329)(117, 387)(118, 326)(119, 385)(120, 288)(121, 309)(122, 393)(123, 324)(124, 294)(125, 291)(126, 318)(127, 292)(128, 293)(129, 328)(130, 314)(131, 403)(132, 320)(133, 296)(134, 405)(135, 298)(136, 311)(137, 407)(138, 306)(139, 300)(140, 317)(141, 304)(142, 302)(143, 409)(144, 307)(145, 389)(146, 305)(147, 404)(148, 386)(149, 413)(150, 397)(151, 415)(152, 310)(153, 401)(154, 416)(155, 400)(156, 391)(157, 406)(158, 411)(159, 396)(160, 394)(161, 414)(162, 319)(163, 388)(164, 322)(165, 398)(166, 325)(167, 419)(168, 420)(169, 335)(170, 364)(171, 333)(172, 379)(173, 361)(174, 424)(175, 372)(176, 426)(177, 338)(178, 376)(179, 427)(180, 375)(181, 366)(182, 381)(183, 422)(184, 371)(185, 369)(186, 425)(187, 347)(188, 363)(189, 350)(190, 373)(191, 353)(192, 430)(193, 359)(194, 423)(195, 374)(196, 421)(197, 365)(198, 377)(199, 367)(200, 370)(201, 429)(202, 428)(203, 383)(204, 384)(205, 412)(206, 399)(207, 410)(208, 390)(209, 402)(210, 392)(211, 395)(212, 418)(213, 417)(214, 408)(215, 432)(216, 431)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3082
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 36 e = 216 f = 126
	degree seq :: [ 12^36 ]

E28.3085 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 12})
Quotient :: loop
Aut^+ = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, T2^-2 * T1 * T2^-1 * T1 * T2^3 * T1 * T2^-1 * T1 * T2^-1, T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^2 * T1 * T2 * T1, T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^2 * T1 * T2^-1, (T2^-1 * T1)^12 ]
Map::
	R = (1, 217, 3, 219, 8, 224, 18, 234, 10, 226, 4, 220)(2, 218, 5, 221, 12, 228, 25, 241, 14, 230, 6, 222)(7, 223, 15, 231, 30, 246, 58, 274, 32, 248, 16, 232)(9, 225, 19, 235, 37, 253, 71, 287, 39, 255, 20, 236)(11, 227, 22, 238, 43, 259, 82, 298, 45, 261, 23, 239)(13, 229, 26, 242, 50, 266, 95, 311, 52, 268, 27, 243)(17, 233, 33, 249, 63, 279, 118, 334, 65, 281, 34, 250)(21, 237, 40, 256, 76, 292, 133, 349, 78, 294, 41, 257)(24, 240, 46, 262, 87, 303, 150, 366, 89, 305, 47, 263)(28, 244, 53, 269, 100, 316, 165, 381, 102, 318, 54, 270)(29, 245, 55, 271, 104, 320, 77, 293, 106, 322, 56, 272)(31, 247, 59, 275, 110, 326, 75, 291, 112, 328, 60, 276)(35, 251, 66, 282, 122, 338, 181, 397, 123, 339, 67, 283)(36, 252, 68, 284, 120, 336, 64, 280, 119, 335, 69, 285)(38, 254, 72, 288, 116, 332, 62, 278, 115, 331, 73, 289)(42, 258, 79, 295, 136, 352, 101, 317, 138, 354, 80, 296)(44, 260, 83, 299, 142, 358, 99, 315, 144, 360, 84, 300)(48, 264, 90, 306, 154, 370, 196, 412, 155, 371, 91, 307)(49, 265, 92, 308, 152, 368, 88, 304, 151, 367, 93, 309)(51, 267, 96, 312, 148, 364, 86, 302, 147, 363, 97, 313)(57, 273, 107, 323, 170, 386, 134, 350, 156, 372, 108, 324)(61, 277, 113, 329, 175, 391, 132, 348, 137, 353, 114, 330)(70, 286, 126, 342, 160, 376, 121, 337, 180, 396, 127, 343)(74, 290, 130, 346, 143, 359, 117, 333, 178, 394, 131, 347)(81, 297, 139, 355, 185, 401, 166, 382, 124, 340, 140, 356)(85, 301, 145, 361, 190, 406, 164, 380, 105, 321, 146, 362)(94, 310, 158, 374, 128, 344, 153, 369, 195, 411, 159, 375)(98, 314, 162, 378, 111, 327, 149, 365, 193, 409, 163, 379)(103, 319, 167, 383, 129, 345, 176, 392, 197, 413, 168, 384)(109, 325, 172, 388, 201, 417, 171, 387, 125, 341, 173, 389)(135, 351, 182, 398, 161, 377, 191, 407, 205, 421, 183, 399)(141, 357, 187, 403, 209, 425, 186, 402, 157, 373, 188, 404)(169, 385, 198, 414, 213, 429, 204, 420, 177, 393, 199, 415)(174, 390, 202, 418, 179, 395, 200, 416, 214, 430, 203, 419)(184, 400, 206, 422, 215, 431, 212, 428, 192, 408, 207, 423)(189, 405, 210, 426, 194, 410, 208, 424, 216, 432, 211, 427)
	L = (1, 218)(2, 217)(3, 223)(4, 225)(5, 227)(6, 229)(7, 219)(8, 233)(9, 220)(10, 237)(11, 221)(12, 240)(13, 222)(14, 244)(15, 245)(16, 247)(17, 224)(18, 251)(19, 252)(20, 254)(21, 226)(22, 258)(23, 260)(24, 228)(25, 264)(26, 265)(27, 267)(28, 230)(29, 231)(30, 273)(31, 232)(32, 277)(33, 278)(34, 280)(35, 234)(36, 235)(37, 286)(38, 236)(39, 290)(40, 291)(41, 293)(42, 238)(43, 297)(44, 239)(45, 301)(46, 302)(47, 304)(48, 241)(49, 242)(50, 310)(51, 243)(52, 314)(53, 315)(54, 317)(55, 319)(56, 321)(57, 246)(58, 307)(59, 325)(60, 327)(61, 248)(62, 249)(63, 333)(64, 250)(65, 337)(66, 311)(67, 298)(68, 340)(69, 341)(70, 253)(71, 306)(72, 344)(73, 345)(74, 255)(75, 256)(76, 348)(77, 257)(78, 350)(79, 351)(80, 353)(81, 259)(82, 283)(83, 357)(84, 359)(85, 261)(86, 262)(87, 365)(88, 263)(89, 369)(90, 287)(91, 274)(92, 372)(93, 373)(94, 266)(95, 282)(96, 376)(97, 377)(98, 268)(99, 269)(100, 380)(101, 270)(102, 382)(103, 271)(104, 352)(105, 272)(106, 385)(107, 379)(108, 387)(109, 275)(110, 367)(111, 276)(112, 390)(113, 361)(114, 392)(115, 363)(116, 393)(117, 279)(118, 371)(119, 358)(120, 395)(121, 281)(122, 381)(123, 366)(124, 284)(125, 285)(126, 384)(127, 375)(128, 288)(129, 289)(130, 388)(131, 355)(132, 292)(133, 370)(134, 294)(135, 295)(136, 320)(137, 296)(138, 400)(139, 347)(140, 402)(141, 299)(142, 335)(143, 300)(144, 405)(145, 329)(146, 407)(147, 331)(148, 408)(149, 303)(150, 339)(151, 326)(152, 410)(153, 305)(154, 349)(155, 334)(156, 308)(157, 309)(158, 399)(159, 343)(160, 312)(161, 313)(162, 403)(163, 323)(164, 316)(165, 338)(166, 318)(167, 404)(168, 342)(169, 322)(170, 416)(171, 324)(172, 346)(173, 398)(174, 328)(175, 420)(176, 330)(177, 332)(178, 419)(179, 336)(180, 414)(181, 412)(182, 389)(183, 374)(184, 354)(185, 424)(186, 356)(187, 378)(188, 383)(189, 360)(190, 428)(191, 362)(192, 364)(193, 427)(194, 368)(195, 422)(196, 397)(197, 426)(198, 396)(199, 425)(200, 386)(201, 423)(202, 421)(203, 394)(204, 391)(205, 418)(206, 411)(207, 417)(208, 401)(209, 415)(210, 413)(211, 409)(212, 406)(213, 432)(214, 431)(215, 430)(216, 429)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3083
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 36 e = 216 f = 126
	degree seq :: [ 12^36 ]

E28.3086 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 12})
Quotient :: loop
Aut^+ = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, T1^6, T1^6, (T2 * T1^-2 * T2)^2, (T2^3 * T1^-1)^2, T2 * T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2 * T1^-2 * T2^-2 * T1^-1, T1^-1 * T2^-1 * T1 * T2^5 * T1^-1 * T2^-2 * T1^-1, (T2 * T1^-1)^6, T2^12 ]
Map::
	R = (1, 217, 3, 219, 10, 226, 26, 242, 63, 279, 125, 341, 156, 372, 147, 363, 82, 298, 38, 254, 15, 231, 5, 221)(2, 218, 7, 223, 19, 235, 46, 262, 99, 315, 172, 388, 114, 330, 184, 400, 110, 326, 54, 270, 22, 238, 8, 224)(4, 220, 12, 228, 31, 247, 72, 288, 136, 352, 168, 384, 96, 312, 167, 383, 119, 335, 59, 275, 24, 240, 9, 225)(6, 222, 17, 233, 41, 257, 88, 304, 159, 375, 142, 358, 79, 295, 144, 360, 166, 382, 95, 311, 44, 260, 18, 234)(11, 227, 28, 244, 66, 282, 37, 253, 81, 297, 133, 349, 69, 285, 132, 348, 192, 408, 123, 339, 61, 277, 25, 241)(13, 229, 33, 249, 75, 291, 118, 334, 188, 404, 121, 337, 60, 276, 120, 336, 189, 405, 134, 350, 70, 286, 30, 246)(14, 230, 35, 251, 78, 294, 127, 343, 157, 373, 87, 303, 42, 258, 90, 306, 62, 278, 27, 243, 64, 280, 36, 252)(16, 232, 39, 255, 83, 299, 149, 365, 202, 418, 179, 395, 107, 323, 181, 397, 207, 423, 155, 371, 86, 302, 40, 256)(20, 236, 48, 264, 102, 318, 53, 269, 109, 325, 57, 273, 23, 239, 56, 272, 113, 329, 170, 386, 97, 313, 45, 261)(21, 237, 51, 267, 106, 322, 174, 390, 201, 417, 148, 364, 84, 300, 150, 366, 98, 314, 47, 263, 100, 316, 52, 268)(29, 245, 68, 284, 34, 250, 77, 293, 141, 357, 193, 409, 124, 340, 162, 378, 146, 362, 195, 411, 128, 344, 65, 281)(32, 248, 73, 289, 117, 333, 58, 274, 116, 332, 154, 370, 85, 301, 153, 369, 206, 422, 186, 402, 135, 351, 71, 287)(43, 259, 93, 309, 165, 381, 208, 424, 199, 415, 138, 354, 76, 292, 139, 355, 158, 374, 89, 305, 160, 376, 94, 310)(49, 265, 104, 320, 50, 266, 105, 321, 178, 394, 212, 428, 171, 387, 115, 331, 183, 399, 214, 430, 175, 391, 101, 317)(55, 271, 111, 327, 185, 401, 215, 431, 176, 392, 103, 319, 177, 393, 211, 427, 169, 385, 137, 353, 74, 290, 112, 328)(67, 283, 130, 346, 191, 407, 122, 338, 190, 406, 140, 356, 187, 403, 131, 347, 197, 413, 210, 426, 196, 412, 129, 345)(80, 296, 126, 342, 194, 410, 209, 425, 161, 377, 91, 307, 163, 379, 92, 308, 164, 380, 143, 359, 200, 416, 145, 361)(108, 324, 173, 389, 213, 429, 198, 414, 203, 419, 151, 367, 204, 420, 152, 368, 205, 421, 180, 396, 216, 432, 182, 398)
	L = (1, 218)(2, 222)(3, 225)(4, 217)(5, 230)(6, 232)(7, 221)(8, 237)(9, 239)(10, 241)(11, 219)(12, 246)(13, 220)(14, 250)(15, 253)(16, 229)(17, 224)(18, 259)(19, 261)(20, 223)(21, 266)(22, 269)(23, 271)(24, 274)(25, 276)(26, 278)(27, 226)(28, 281)(29, 227)(30, 285)(31, 287)(32, 228)(33, 256)(34, 265)(35, 231)(36, 296)(37, 291)(38, 288)(39, 234)(40, 301)(41, 303)(42, 233)(43, 308)(44, 243)(45, 312)(46, 314)(47, 235)(48, 317)(49, 236)(50, 307)(51, 238)(52, 324)(53, 247)(54, 242)(55, 245)(56, 240)(57, 331)(58, 299)(59, 334)(60, 309)(61, 338)(62, 340)(63, 326)(64, 311)(65, 343)(66, 345)(67, 244)(68, 328)(69, 347)(70, 305)(71, 323)(72, 318)(73, 353)(74, 248)(75, 354)(76, 249)(77, 252)(78, 358)(79, 251)(80, 355)(81, 254)(82, 315)(83, 364)(84, 255)(85, 368)(86, 263)(87, 372)(88, 374)(89, 257)(90, 377)(91, 258)(92, 367)(93, 260)(94, 283)(95, 262)(96, 369)(97, 385)(98, 387)(99, 382)(100, 371)(101, 390)(102, 392)(103, 264)(104, 284)(105, 268)(106, 395)(107, 267)(108, 289)(109, 270)(110, 375)(111, 273)(112, 403)(113, 388)(114, 272)(115, 366)(116, 275)(117, 398)(118, 282)(119, 279)(120, 277)(121, 397)(122, 401)(123, 293)(124, 399)(125, 383)(126, 280)(127, 380)(128, 394)(129, 393)(130, 376)(131, 290)(132, 286)(133, 378)(134, 365)(135, 414)(136, 298)(137, 386)(138, 295)(139, 406)(140, 292)(141, 408)(142, 400)(143, 294)(144, 415)(145, 389)(146, 297)(147, 373)(148, 330)(149, 333)(150, 419)(151, 300)(152, 356)(153, 302)(154, 319)(155, 304)(156, 348)(157, 344)(158, 361)(159, 423)(160, 350)(161, 424)(162, 306)(163, 320)(164, 310)(165, 337)(166, 418)(167, 313)(168, 336)(169, 357)(170, 321)(171, 342)(172, 363)(173, 316)(174, 421)(175, 359)(176, 362)(177, 332)(178, 329)(179, 360)(180, 322)(181, 351)(182, 346)(183, 325)(184, 417)(185, 422)(186, 327)(187, 420)(188, 335)(189, 352)(190, 339)(191, 432)(192, 341)(193, 427)(194, 428)(195, 431)(196, 429)(197, 349)(198, 426)(199, 425)(200, 430)(201, 391)(202, 405)(203, 402)(204, 379)(205, 370)(206, 384)(207, 404)(208, 413)(209, 396)(210, 381)(211, 412)(212, 411)(213, 416)(214, 409)(215, 407)(216, 410)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.3079
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 18 e = 216 f = 144
	degree seq :: [ 24^18 ]

E28.3087 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 12})
Quotient :: loop
Aut^+ = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (F * T1)^2, (F * T2)^2, T1^6, T2 * T1^-1 * T2^-1 * T1 * T2^2 * T1^2, (T2 * T1^-1 * T2^2)^2, T1 * T2^-2 * T1^-1 * T2 * T1 * T2^-1 * T1^3, (T1^-1 * T2 * T1^-2 * T2)^2, T2^3 * T1 * T2^-3 * T1^-1 * T2^2 * T1^-2, T2^12 ]
Map::
	R = (1, 217, 3, 219, 10, 226, 26, 242, 62, 278, 123, 339, 162, 378, 144, 360, 81, 297, 38, 254, 15, 231, 5, 221)(2, 218, 7, 223, 19, 235, 46, 262, 96, 312, 167, 383, 133, 349, 180, 396, 108, 324, 54, 270, 22, 238, 8, 224)(4, 220, 12, 228, 31, 247, 70, 286, 132, 348, 179, 395, 106, 322, 172, 388, 116, 332, 58, 274, 24, 240, 9, 225)(6, 222, 17, 233, 41, 257, 86, 302, 154, 370, 124, 340, 64, 280, 126, 342, 164, 380, 94, 310, 44, 260, 18, 234)(11, 227, 28, 244, 66, 282, 37, 253, 80, 296, 140, 356, 184, 400, 136, 352, 191, 407, 120, 336, 60, 276, 25, 241)(13, 229, 33, 249, 74, 290, 115, 331, 185, 401, 143, 359, 79, 295, 128, 344, 188, 404, 118, 334, 59, 275, 30, 246)(14, 230, 35, 251, 42, 258, 88, 304, 157, 373, 93, 309, 163, 379, 122, 338, 61, 277, 27, 243, 63, 279, 36, 252)(16, 232, 39, 255, 82, 298, 145, 361, 196, 412, 168, 384, 98, 314, 170, 386, 204, 420, 152, 368, 85, 301, 40, 256)(20, 236, 48, 264, 100, 316, 53, 269, 107, 323, 176, 392, 131, 347, 71, 287, 112, 328, 56, 272, 23, 239, 45, 261)(21, 237, 51, 267, 83, 299, 147, 363, 199, 415, 151, 367, 203, 419, 166, 382, 95, 311, 47, 263, 97, 313, 52, 268)(29, 245, 68, 284, 130, 346, 158, 374, 141, 357, 77, 293, 34, 250, 76, 292, 139, 355, 192, 408, 121, 337, 65, 281)(32, 248, 72, 288, 114, 330, 57, 273, 113, 329, 182, 398, 195, 411, 146, 362, 197, 413, 150, 366, 84, 300, 69, 285)(43, 259, 91, 307, 75, 291, 137, 353, 187, 403, 117, 333, 186, 402, 206, 422, 153, 369, 87, 303, 155, 371, 92, 308)(49, 265, 102, 318, 174, 390, 111, 327, 177, 393, 104, 320, 50, 266, 103, 319, 175, 391, 208, 424, 165, 381, 99, 315)(55, 271, 109, 325, 181, 397, 209, 425, 193, 409, 134, 350, 73, 289, 135, 351, 171, 387, 101, 317, 173, 389, 110, 326)(67, 283, 129, 345, 190, 406, 119, 335, 189, 405, 211, 427, 215, 431, 210, 426, 194, 410, 138, 354, 183, 399, 127, 343)(78, 294, 125, 341, 161, 377, 90, 306, 160, 376, 207, 423, 214, 430, 205, 421, 156, 372, 89, 305, 159, 375, 142, 358)(105, 321, 169, 385, 202, 418, 149, 365, 201, 417, 213, 429, 216, 432, 212, 428, 198, 414, 148, 364, 200, 416, 178, 394)
	L = (1, 218)(2, 222)(3, 225)(4, 217)(5, 230)(6, 232)(7, 221)(8, 237)(9, 239)(10, 241)(11, 219)(12, 246)(13, 220)(14, 250)(15, 253)(16, 229)(17, 224)(18, 259)(19, 261)(20, 223)(21, 266)(22, 269)(23, 271)(24, 273)(25, 275)(26, 277)(27, 226)(28, 281)(29, 227)(30, 276)(31, 285)(32, 228)(33, 256)(34, 265)(35, 231)(36, 294)(37, 295)(38, 286)(39, 234)(40, 300)(41, 251)(42, 233)(43, 306)(44, 309)(45, 240)(46, 311)(47, 235)(48, 315)(49, 236)(50, 305)(51, 238)(52, 321)(53, 322)(54, 242)(55, 245)(56, 327)(57, 314)(58, 331)(59, 333)(60, 335)(61, 337)(62, 324)(63, 340)(64, 243)(65, 338)(66, 343)(67, 244)(68, 326)(69, 301)(70, 347)(71, 247)(72, 350)(73, 248)(74, 307)(75, 249)(76, 252)(77, 351)(78, 353)(79, 303)(80, 254)(81, 312)(82, 267)(83, 255)(84, 365)(85, 367)(86, 369)(87, 257)(88, 372)(89, 258)(90, 364)(91, 260)(92, 283)(93, 378)(94, 262)(95, 381)(96, 380)(97, 384)(98, 263)(99, 382)(100, 387)(101, 264)(102, 293)(103, 268)(104, 284)(105, 288)(106, 362)(107, 270)(108, 370)(109, 272)(110, 399)(111, 363)(112, 383)(113, 274)(114, 394)(115, 400)(116, 278)(117, 280)(118, 361)(119, 289)(120, 374)(121, 391)(122, 376)(123, 388)(124, 396)(125, 279)(126, 403)(127, 389)(128, 282)(129, 371)(130, 393)(131, 409)(132, 297)(133, 287)(134, 392)(135, 406)(136, 290)(137, 410)(138, 291)(139, 296)(140, 292)(141, 407)(142, 385)(143, 386)(144, 373)(145, 411)(146, 298)(147, 414)(148, 299)(149, 354)(150, 317)(151, 349)(152, 302)(153, 421)(154, 420)(155, 359)(156, 422)(157, 346)(158, 304)(159, 320)(160, 308)(161, 318)(162, 352)(163, 310)(164, 412)(165, 423)(166, 417)(167, 360)(168, 342)(169, 313)(170, 330)(171, 357)(172, 316)(173, 413)(174, 341)(175, 323)(176, 319)(177, 328)(178, 345)(179, 344)(180, 415)(181, 329)(182, 325)(183, 418)(184, 426)(185, 332)(186, 334)(187, 358)(188, 348)(189, 336)(190, 416)(191, 339)(192, 425)(193, 355)(194, 356)(195, 428)(196, 404)(197, 395)(198, 398)(199, 390)(200, 377)(201, 366)(202, 375)(203, 368)(204, 401)(205, 429)(206, 405)(207, 379)(208, 408)(209, 431)(210, 397)(211, 402)(212, 427)(213, 419)(214, 424)(215, 432)(216, 430)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.3078
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 18 e = 216 f = 144
	degree seq :: [ 24^18 ]

E28.3088 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 12})
Quotient :: loop
Aut^+ = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1 * T2 * T1^-1)^2, (T1^-3 * T2 * T1^-1)^2, (T2 * T1^-1)^6, (T2 * T1^-1)^6, T1^12, T2 * T1^3 * T2 * T1 * T2 * T1^3 * T2 * T1^-3 ]
Map:: polytopal non-degenerate
	R = (1, 217, 3, 219)(2, 218, 6, 222)(4, 220, 9, 225)(5, 221, 12, 228)(7, 223, 16, 232)(8, 224, 17, 233)(10, 226, 21, 237)(11, 227, 24, 240)(13, 229, 28, 244)(14, 230, 29, 245)(15, 231, 32, 248)(18, 234, 36, 252)(19, 235, 34, 250)(20, 236, 39, 255)(22, 238, 43, 259)(23, 239, 46, 262)(25, 241, 50, 266)(26, 242, 51, 267)(27, 243, 54, 270)(30, 246, 57, 273)(31, 247, 60, 276)(33, 249, 64, 280)(35, 251, 66, 282)(37, 253, 70, 286)(38, 254, 72, 288)(40, 256, 75, 291)(41, 257, 73, 289)(42, 258, 77, 293)(44, 260, 59, 275)(45, 261, 81, 297)(47, 263, 83, 299)(48, 264, 84, 300)(49, 265, 86, 302)(52, 268, 89, 305)(53, 269, 91, 307)(55, 271, 95, 311)(56, 272, 96, 312)(58, 274, 100, 316)(61, 277, 105, 321)(62, 278, 106, 322)(63, 279, 109, 325)(65, 281, 112, 328)(67, 283, 114, 330)(68, 284, 113, 329)(69, 285, 116, 332)(71, 287, 119, 335)(74, 290, 110, 326)(76, 292, 127, 343)(78, 294, 128, 344)(79, 295, 118, 334)(80, 296, 131, 347)(82, 298, 133, 349)(85, 301, 137, 353)(87, 303, 142, 358)(88, 304, 143, 359)(90, 306, 147, 363)(92, 308, 151, 367)(93, 309, 152, 368)(94, 310, 155, 371)(97, 313, 157, 373)(98, 314, 156, 372)(99, 315, 159, 375)(101, 317, 148, 364)(102, 318, 138, 354)(103, 319, 161, 377)(104, 320, 162, 378)(107, 323, 164, 380)(108, 324, 132, 348)(111, 327, 169, 385)(115, 331, 175, 391)(117, 333, 176, 392)(120, 336, 177, 393)(121, 337, 171, 387)(122, 338, 180, 396)(123, 339, 167, 383)(124, 340, 168, 384)(125, 341, 182, 398)(126, 342, 154, 370)(129, 345, 170, 386)(130, 346, 185, 401)(134, 350, 186, 402)(135, 351, 187, 403)(136, 352, 188, 404)(139, 355, 192, 408)(140, 356, 193, 409)(141, 357, 195, 411)(144, 360, 197, 413)(145, 361, 196, 412)(146, 362, 199, 415)(149, 365, 200, 416)(150, 366, 201, 417)(153, 369, 203, 419)(158, 374, 209, 425)(160, 376, 210, 426)(163, 379, 189, 405)(165, 381, 202, 418)(166, 382, 204, 420)(172, 388, 208, 424)(173, 389, 190, 406)(174, 390, 207, 423)(178, 394, 211, 427)(179, 395, 212, 428)(181, 397, 213, 429)(183, 399, 205, 421)(184, 400, 206, 422)(191, 407, 214, 430)(194, 410, 215, 431)(198, 414, 216, 432)
	L = (1, 218)(2, 221)(3, 223)(4, 217)(5, 227)(6, 229)(7, 231)(8, 219)(9, 235)(10, 220)(11, 239)(12, 241)(13, 243)(14, 222)(15, 247)(16, 249)(17, 250)(18, 224)(19, 254)(20, 225)(21, 257)(22, 226)(23, 261)(24, 263)(25, 265)(26, 228)(27, 269)(28, 271)(29, 232)(30, 230)(31, 275)(32, 277)(33, 279)(34, 281)(35, 233)(36, 284)(37, 234)(38, 287)(39, 289)(40, 236)(41, 292)(42, 237)(43, 294)(44, 238)(45, 296)(46, 253)(47, 256)(48, 240)(49, 258)(50, 303)(51, 244)(52, 242)(53, 259)(54, 308)(55, 310)(56, 245)(57, 314)(58, 246)(59, 317)(60, 318)(61, 320)(62, 248)(63, 324)(64, 326)(65, 327)(66, 329)(67, 251)(68, 331)(69, 252)(70, 333)(71, 334)(72, 336)(73, 338)(74, 255)(75, 340)(76, 342)(77, 344)(78, 346)(79, 260)(80, 295)(81, 274)(82, 262)(83, 351)(84, 266)(85, 264)(86, 355)(87, 357)(88, 267)(89, 361)(90, 268)(91, 364)(92, 366)(93, 270)(94, 370)(95, 282)(96, 372)(97, 272)(98, 374)(99, 273)(100, 376)(101, 350)(102, 283)(103, 276)(104, 285)(105, 375)(106, 280)(107, 278)(108, 286)(109, 382)(110, 384)(111, 349)(112, 386)(113, 388)(114, 371)(115, 390)(116, 392)(117, 365)(118, 354)(119, 363)(120, 394)(121, 288)(122, 352)(123, 290)(124, 397)(125, 291)(126, 347)(127, 399)(128, 360)(129, 293)(130, 348)(131, 306)(132, 297)(133, 299)(134, 298)(135, 319)(136, 300)(137, 405)(138, 301)(139, 407)(140, 302)(141, 335)(142, 312)(143, 412)(144, 304)(145, 414)(146, 305)(147, 339)(148, 313)(149, 307)(150, 315)(151, 415)(152, 311)(153, 309)(154, 316)(155, 421)(156, 422)(157, 411)(158, 424)(159, 426)(160, 345)(161, 321)(162, 427)(163, 322)(164, 428)(165, 323)(166, 409)(167, 325)(168, 423)(169, 418)(170, 408)(171, 328)(172, 413)(173, 330)(174, 402)(175, 429)(176, 404)(177, 332)(178, 341)(179, 337)(180, 416)(181, 406)(182, 403)(183, 410)(184, 343)(185, 420)(186, 381)(187, 359)(188, 379)(189, 395)(190, 353)(191, 362)(192, 389)(193, 358)(194, 356)(195, 393)(196, 387)(197, 377)(198, 400)(199, 383)(200, 367)(201, 378)(202, 368)(203, 380)(204, 369)(205, 398)(206, 396)(207, 373)(208, 401)(209, 391)(210, 385)(211, 431)(212, 432)(213, 430)(214, 417)(215, 419)(216, 425)
	local type(s) :: { ( 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3081
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 108 e = 216 f = 54
	degree seq :: [ 4^108 ]

E28.3089 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 12})
Quotient :: loop
Aut^+ = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2 * T1^-2)^2, (T1^-1 * T2 * T1^-1 * T2 * T1^-2)^2, T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^5, T1^12, (T2 * T1^-1)^6, (T2 * T1 * T2 * T1^2 * T2 * T1^-2)^2, (T2 * T1^2 * T2 * T1^-1 * T2 * T1^-2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 217, 3, 219)(2, 218, 6, 222)(4, 220, 9, 225)(5, 221, 12, 228)(7, 223, 16, 232)(8, 224, 17, 233)(10, 226, 21, 237)(11, 227, 24, 240)(13, 229, 28, 244)(14, 230, 29, 245)(15, 231, 32, 248)(18, 234, 37, 253)(19, 235, 40, 256)(20, 236, 41, 257)(22, 238, 45, 261)(23, 239, 48, 264)(25, 241, 52, 268)(26, 242, 53, 269)(27, 243, 56, 272)(30, 246, 61, 277)(31, 247, 64, 280)(33, 249, 68, 284)(34, 250, 69, 285)(35, 251, 72, 288)(36, 252, 73, 289)(38, 254, 77, 293)(39, 255, 79, 295)(42, 258, 84, 300)(43, 259, 86, 302)(44, 260, 87, 303)(46, 262, 63, 279)(47, 263, 91, 307)(49, 265, 93, 309)(50, 266, 94, 310)(51, 267, 96, 312)(54, 270, 101, 317)(55, 271, 103, 319)(57, 273, 107, 323)(58, 274, 108, 324)(59, 275, 111, 327)(60, 276, 112, 328)(62, 278, 116, 332)(65, 281, 119, 335)(66, 282, 120, 336)(67, 283, 122, 338)(70, 286, 126, 342)(71, 287, 128, 344)(74, 290, 131, 347)(75, 291, 133, 349)(76, 292, 134, 350)(78, 294, 98, 314)(80, 296, 137, 353)(81, 297, 92, 308)(82, 298, 102, 318)(83, 299, 123, 339)(85, 301, 141, 357)(88, 304, 99, 315)(89, 305, 129, 345)(90, 306, 143, 359)(95, 311, 146, 362)(97, 313, 149, 365)(100, 316, 152, 368)(104, 320, 157, 373)(105, 321, 158, 374)(106, 322, 160, 376)(109, 325, 162, 378)(110, 326, 163, 379)(113, 329, 165, 381)(114, 330, 167, 383)(115, 331, 168, 384)(117, 333, 169, 385)(118, 334, 170, 386)(121, 337, 173, 389)(124, 340, 177, 393)(125, 341, 179, 395)(127, 343, 171, 387)(130, 346, 174, 390)(132, 348, 183, 399)(135, 351, 178, 394)(136, 352, 182, 398)(138, 354, 180, 396)(139, 355, 172, 388)(140, 356, 181, 397)(142, 358, 175, 391)(144, 360, 190, 406)(145, 361, 191, 407)(147, 363, 195, 411)(148, 364, 196, 412)(150, 366, 199, 415)(151, 367, 200, 416)(153, 369, 202, 418)(154, 370, 204, 420)(155, 371, 205, 421)(156, 372, 206, 422)(159, 375, 207, 423)(161, 377, 209, 425)(164, 380, 208, 424)(166, 382, 210, 426)(176, 392, 192, 408)(184, 400, 211, 427)(185, 401, 212, 428)(186, 402, 193, 409)(187, 403, 213, 429)(188, 404, 201, 417)(189, 405, 198, 414)(194, 410, 214, 430)(197, 413, 215, 431)(203, 419, 216, 432)
	L = (1, 218)(2, 221)(3, 223)(4, 217)(5, 227)(6, 229)(7, 231)(8, 219)(9, 235)(10, 220)(11, 239)(12, 241)(13, 243)(14, 222)(15, 247)(16, 249)(17, 251)(18, 224)(19, 255)(20, 225)(21, 259)(22, 226)(23, 263)(24, 265)(25, 267)(26, 228)(27, 271)(28, 273)(29, 275)(30, 230)(31, 279)(32, 281)(33, 283)(34, 232)(35, 287)(36, 233)(37, 291)(38, 234)(39, 294)(40, 296)(41, 298)(42, 236)(43, 301)(44, 237)(45, 304)(46, 238)(47, 306)(48, 254)(49, 258)(50, 240)(51, 260)(52, 313)(53, 315)(54, 242)(55, 261)(56, 320)(57, 322)(58, 244)(59, 326)(60, 245)(61, 330)(62, 246)(63, 327)(64, 309)(65, 334)(66, 248)(67, 319)(68, 339)(69, 307)(70, 250)(71, 343)(72, 311)(73, 346)(74, 252)(75, 348)(76, 253)(77, 329)(78, 345)(79, 351)(80, 333)(81, 256)(82, 354)(83, 257)(84, 355)(85, 324)(86, 358)(87, 332)(88, 341)(89, 262)(90, 305)(91, 278)(92, 264)(93, 290)(94, 302)(95, 266)(96, 363)(97, 299)(98, 268)(99, 367)(100, 269)(101, 370)(102, 270)(103, 293)(104, 372)(105, 272)(106, 303)(107, 289)(108, 359)(109, 274)(110, 286)(111, 360)(112, 380)(113, 276)(114, 382)(115, 277)(116, 369)(117, 280)(118, 292)(119, 377)(120, 381)(121, 282)(122, 383)(123, 392)(124, 284)(125, 285)(126, 373)(127, 297)(128, 378)(129, 288)(130, 384)(131, 368)(132, 393)(133, 374)(134, 379)(135, 400)(136, 295)(137, 376)(138, 361)(139, 403)(140, 300)(141, 404)(142, 366)(143, 318)(144, 308)(145, 310)(146, 408)(147, 410)(148, 312)(149, 328)(150, 314)(151, 325)(152, 417)(153, 316)(154, 419)(155, 317)(156, 331)(157, 414)(158, 418)(159, 321)(160, 420)(161, 323)(162, 411)(163, 415)(164, 421)(165, 407)(166, 425)(167, 412)(168, 416)(169, 349)(170, 427)(171, 335)(172, 336)(173, 428)(174, 337)(175, 338)(176, 350)(177, 406)(178, 340)(179, 424)(180, 342)(181, 344)(182, 347)(183, 429)(184, 356)(185, 352)(186, 353)(187, 409)(188, 413)(189, 357)(190, 390)(191, 394)(192, 401)(193, 362)(194, 371)(195, 398)(196, 396)(197, 364)(198, 365)(199, 388)(200, 385)(201, 402)(202, 387)(203, 405)(204, 397)(205, 391)(206, 386)(207, 389)(208, 375)(209, 395)(210, 399)(211, 431)(212, 432)(213, 430)(214, 422)(215, 423)(216, 426)
	local type(s) :: { ( 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3080
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 108 e = 216 f = 54
	degree seq :: [ 4^108 ]

E28.3090 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (Y1 * R)^2, (R * Y3)^2, Y2^6, (R * Y2 * Y3^-1)^2, R * Y2^2 * R * Y1 * Y2^2 * Y1, (Y2^-3 * Y1 * Y2^-1 * Y1)^2, (Y2^-3 * Y1 * Y2 * Y1)^2, Y2^-1 * Y1 * Y2^-2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1, (Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1)^2, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 217, 2, 218)(3, 219, 7, 223)(4, 220, 9, 225)(5, 221, 11, 227)(6, 222, 13, 229)(8, 224, 17, 233)(10, 226, 21, 237)(12, 228, 24, 240)(14, 230, 28, 244)(15, 231, 29, 245)(16, 232, 31, 247)(18, 234, 35, 251)(19, 235, 36, 252)(20, 236, 38, 254)(22, 238, 42, 258)(23, 239, 44, 260)(25, 241, 48, 264)(26, 242, 49, 265)(27, 243, 51, 267)(30, 246, 57, 273)(32, 248, 61, 277)(33, 249, 62, 278)(34, 250, 64, 280)(37, 253, 70, 286)(39, 255, 74, 290)(40, 256, 75, 291)(41, 257, 77, 293)(43, 259, 81, 297)(45, 261, 85, 301)(46, 262, 86, 302)(47, 263, 88, 304)(50, 266, 94, 310)(52, 268, 98, 314)(53, 269, 99, 315)(54, 270, 101, 317)(55, 271, 103, 319)(56, 272, 105, 321)(58, 274, 91, 307)(59, 275, 109, 325)(60, 276, 111, 327)(63, 279, 117, 333)(65, 281, 121, 337)(66, 282, 95, 311)(67, 283, 82, 298)(68, 284, 124, 340)(69, 285, 125, 341)(71, 287, 90, 306)(72, 288, 128, 344)(73, 289, 129, 345)(76, 292, 132, 348)(78, 294, 134, 350)(79, 295, 135, 351)(80, 296, 137, 353)(83, 299, 141, 357)(84, 300, 143, 359)(87, 303, 149, 365)(89, 305, 153, 369)(92, 308, 156, 372)(93, 309, 157, 373)(96, 312, 160, 376)(97, 313, 161, 377)(100, 316, 164, 380)(102, 318, 166, 382)(104, 320, 136, 352)(106, 322, 169, 385)(107, 323, 163, 379)(108, 324, 171, 387)(110, 326, 151, 367)(112, 328, 174, 390)(113, 329, 145, 361)(114, 330, 176, 392)(115, 331, 147, 363)(116, 332, 177, 393)(118, 334, 155, 371)(119, 335, 142, 358)(120, 336, 179, 395)(122, 338, 165, 381)(123, 339, 150, 366)(126, 342, 168, 384)(127, 343, 159, 375)(130, 346, 172, 388)(131, 347, 139, 355)(133, 349, 154, 370)(138, 354, 184, 400)(140, 356, 186, 402)(144, 360, 189, 405)(146, 362, 191, 407)(148, 364, 192, 408)(152, 368, 194, 410)(158, 374, 183, 399)(162, 378, 187, 403)(167, 383, 188, 404)(170, 386, 200, 416)(173, 389, 182, 398)(175, 391, 204, 420)(178, 394, 203, 419)(180, 396, 198, 414)(181, 397, 196, 412)(185, 401, 208, 424)(190, 406, 212, 428)(193, 409, 211, 427)(195, 411, 206, 422)(197, 413, 210, 426)(199, 415, 209, 425)(201, 417, 207, 423)(202, 418, 205, 421)(213, 429, 216, 432)(214, 430, 215, 431)(433, 649, 435, 651, 440, 656, 450, 666, 442, 658, 436, 652)(434, 650, 437, 653, 444, 660, 457, 673, 446, 662, 438, 654)(439, 655, 447, 663, 462, 678, 490, 706, 464, 680, 448, 664)(441, 657, 451, 667, 469, 685, 503, 719, 471, 687, 452, 668)(443, 659, 454, 670, 475, 691, 514, 730, 477, 693, 455, 671)(445, 661, 458, 674, 482, 698, 527, 743, 484, 700, 459, 675)(449, 665, 465, 681, 495, 711, 550, 766, 497, 713, 466, 682)(453, 669, 472, 688, 508, 724, 565, 781, 510, 726, 473, 689)(456, 672, 478, 694, 519, 735, 582, 798, 521, 737, 479, 695)(460, 676, 485, 701, 532, 748, 597, 813, 534, 750, 486, 702)(461, 677, 487, 703, 536, 752, 509, 725, 538, 754, 488, 704)(463, 679, 491, 707, 542, 758, 507, 723, 544, 760, 492, 708)(467, 683, 498, 714, 554, 770, 613, 829, 555, 771, 499, 715)(468, 684, 500, 716, 552, 768, 496, 712, 551, 767, 501, 717)(470, 686, 504, 720, 548, 764, 494, 710, 547, 763, 505, 721)(474, 690, 511, 727, 568, 784, 533, 749, 570, 786, 512, 728)(476, 692, 515, 731, 574, 790, 531, 747, 576, 792, 516, 732)(480, 696, 522, 738, 586, 802, 628, 844, 587, 803, 523, 739)(481, 697, 524, 740, 584, 800, 520, 736, 583, 799, 525, 741)(483, 699, 528, 744, 580, 796, 518, 734, 579, 795, 529, 745)(489, 705, 539, 755, 602, 818, 566, 782, 588, 804, 540, 756)(493, 709, 545, 761, 607, 823, 564, 780, 569, 785, 546, 762)(502, 718, 558, 774, 592, 808, 553, 769, 612, 828, 559, 775)(506, 722, 562, 778, 575, 791, 549, 765, 610, 826, 563, 779)(513, 729, 571, 787, 617, 833, 598, 814, 556, 772, 572, 788)(517, 733, 577, 793, 622, 838, 596, 812, 537, 753, 578, 794)(526, 742, 590, 806, 560, 776, 585, 801, 627, 843, 591, 807)(530, 746, 594, 810, 543, 759, 581, 797, 625, 841, 595, 811)(535, 751, 599, 815, 561, 777, 608, 824, 629, 845, 600, 816)(541, 757, 604, 820, 633, 849, 603, 819, 557, 773, 605, 821)(567, 783, 614, 830, 593, 809, 623, 839, 637, 853, 615, 831)(573, 789, 619, 835, 641, 857, 618, 834, 589, 805, 620, 836)(601, 817, 630, 846, 645, 861, 636, 852, 609, 825, 631, 847)(606, 822, 634, 850, 611, 827, 632, 848, 646, 862, 635, 851)(616, 832, 638, 854, 647, 863, 644, 860, 624, 840, 639, 855)(621, 837, 642, 858, 626, 842, 640, 856, 648, 864, 643, 859)
	L = (1, 434)(2, 433)(3, 439)(4, 441)(5, 443)(6, 445)(7, 435)(8, 449)(9, 436)(10, 453)(11, 437)(12, 456)(13, 438)(14, 460)(15, 461)(16, 463)(17, 440)(18, 467)(19, 468)(20, 470)(21, 442)(22, 474)(23, 476)(24, 444)(25, 480)(26, 481)(27, 483)(28, 446)(29, 447)(30, 489)(31, 448)(32, 493)(33, 494)(34, 496)(35, 450)(36, 451)(37, 502)(38, 452)(39, 506)(40, 507)(41, 509)(42, 454)(43, 513)(44, 455)(45, 517)(46, 518)(47, 520)(48, 457)(49, 458)(50, 526)(51, 459)(52, 530)(53, 531)(54, 533)(55, 535)(56, 537)(57, 462)(58, 523)(59, 541)(60, 543)(61, 464)(62, 465)(63, 549)(64, 466)(65, 553)(66, 527)(67, 514)(68, 556)(69, 557)(70, 469)(71, 522)(72, 560)(73, 561)(74, 471)(75, 472)(76, 564)(77, 473)(78, 566)(79, 567)(80, 569)(81, 475)(82, 499)(83, 573)(84, 575)(85, 477)(86, 478)(87, 581)(88, 479)(89, 585)(90, 503)(91, 490)(92, 588)(93, 589)(94, 482)(95, 498)(96, 592)(97, 593)(98, 484)(99, 485)(100, 596)(101, 486)(102, 598)(103, 487)(104, 568)(105, 488)(106, 601)(107, 595)(108, 603)(109, 491)(110, 583)(111, 492)(112, 606)(113, 577)(114, 608)(115, 579)(116, 609)(117, 495)(118, 587)(119, 574)(120, 611)(121, 497)(122, 597)(123, 582)(124, 500)(125, 501)(126, 600)(127, 591)(128, 504)(129, 505)(130, 604)(131, 571)(132, 508)(133, 586)(134, 510)(135, 511)(136, 536)(137, 512)(138, 616)(139, 563)(140, 618)(141, 515)(142, 551)(143, 516)(144, 621)(145, 545)(146, 623)(147, 547)(148, 624)(149, 519)(150, 555)(151, 542)(152, 626)(153, 521)(154, 565)(155, 550)(156, 524)(157, 525)(158, 615)(159, 559)(160, 528)(161, 529)(162, 619)(163, 539)(164, 532)(165, 554)(166, 534)(167, 620)(168, 558)(169, 538)(170, 632)(171, 540)(172, 562)(173, 614)(174, 544)(175, 636)(176, 546)(177, 548)(178, 635)(179, 552)(180, 630)(181, 628)(182, 605)(183, 590)(184, 570)(185, 640)(186, 572)(187, 594)(188, 599)(189, 576)(190, 644)(191, 578)(192, 580)(193, 643)(194, 584)(195, 638)(196, 613)(197, 642)(198, 612)(199, 641)(200, 602)(201, 639)(202, 637)(203, 610)(204, 607)(205, 634)(206, 627)(207, 633)(208, 617)(209, 631)(210, 629)(211, 625)(212, 622)(213, 648)(214, 647)(215, 646)(216, 645)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.3097
Graph:: bipartite
	v = 144 e = 432 f = 234
	degree seq :: [ 4^108, 12^36 ]

E28.3091 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (Y1 * R)^2, (R * Y3)^2, Y2^6, (R * Y2 * Y3^-1)^2, R * Y2^-1 * R * Y1 * Y2^-1 * Y1, (Y2 * Y1 * Y2^-1 * Y1)^2, (Y2^-1 * R * Y2 * R * Y2^-1 * Y1 * Y2^-1)^2, (Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-1)^2, Y2^3 * R * Y2 * R * Y2^-1 * Y1 * Y2 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 217, 2, 218)(3, 219, 7, 223)(4, 220, 9, 225)(5, 221, 11, 227)(6, 222, 13, 229)(8, 224, 17, 233)(10, 226, 21, 237)(12, 228, 24, 240)(14, 230, 28, 244)(15, 231, 29, 245)(16, 232, 23, 239)(18, 234, 34, 250)(19, 235, 26, 242)(20, 236, 36, 252)(22, 238, 40, 256)(25, 241, 45, 261)(27, 243, 47, 263)(30, 246, 53, 269)(31, 247, 55, 271)(32, 248, 56, 272)(33, 249, 52, 268)(35, 251, 61, 277)(37, 253, 65, 281)(38, 254, 63, 279)(39, 255, 67, 283)(41, 257, 71, 287)(42, 258, 73, 289)(43, 259, 74, 290)(44, 260, 70, 286)(46, 262, 79, 295)(48, 264, 83, 299)(49, 265, 81, 297)(50, 266, 85, 301)(51, 267, 87, 303)(54, 270, 92, 308)(57, 273, 97, 313)(58, 274, 99, 315)(59, 275, 100, 316)(60, 276, 96, 312)(62, 278, 105, 321)(64, 280, 107, 323)(66, 282, 111, 327)(68, 284, 114, 330)(69, 285, 115, 331)(72, 288, 120, 336)(75, 291, 125, 341)(76, 292, 127, 343)(77, 293, 128, 344)(78, 294, 124, 340)(80, 296, 133, 349)(82, 298, 135, 351)(84, 300, 139, 355)(86, 302, 142, 358)(88, 304, 141, 357)(89, 305, 146, 362)(90, 306, 138, 354)(91, 307, 144, 360)(93, 309, 121, 337)(94, 310, 152, 368)(95, 311, 136, 352)(98, 314, 130, 346)(101, 317, 140, 356)(102, 318, 126, 342)(103, 319, 162, 378)(104, 320, 132, 348)(106, 322, 164, 380)(108, 324, 123, 339)(109, 325, 166, 382)(110, 326, 118, 334)(112, 328, 129, 345)(113, 329, 116, 332)(117, 333, 171, 387)(119, 335, 169, 385)(122, 338, 177, 393)(131, 347, 187, 403)(134, 350, 189, 405)(137, 353, 191, 407)(143, 359, 193, 409)(145, 361, 173, 389)(147, 363, 188, 404)(148, 364, 170, 386)(149, 365, 197, 413)(150, 366, 181, 397)(151, 367, 199, 415)(153, 369, 185, 401)(154, 370, 200, 416)(155, 371, 184, 400)(156, 372, 175, 391)(157, 373, 190, 406)(158, 374, 195, 411)(159, 375, 180, 396)(160, 376, 178, 394)(161, 377, 198, 414)(163, 379, 172, 388)(165, 381, 182, 398)(167, 383, 203, 419)(168, 384, 204, 420)(174, 390, 208, 424)(176, 392, 210, 426)(179, 395, 211, 427)(183, 399, 206, 422)(186, 402, 209, 425)(192, 408, 214, 430)(194, 410, 207, 423)(196, 412, 205, 421)(201, 417, 213, 429)(202, 418, 212, 428)(215, 431, 216, 432)(433, 649, 435, 651, 440, 656, 450, 666, 442, 658, 436, 652)(434, 650, 437, 653, 444, 660, 457, 673, 446, 662, 438, 654)(439, 655, 447, 663, 462, 678, 486, 702, 463, 679, 448, 664)(441, 657, 451, 667, 467, 683, 494, 710, 469, 685, 452, 668)(443, 659, 454, 670, 473, 689, 504, 720, 474, 690, 455, 671)(445, 661, 458, 674, 478, 694, 512, 728, 480, 696, 459, 675)(449, 665, 464, 680, 489, 705, 530, 746, 490, 706, 465, 681)(453, 669, 470, 686, 498, 714, 544, 760, 500, 716, 471, 687)(456, 672, 475, 691, 507, 723, 558, 774, 508, 724, 476, 692)(460, 676, 481, 697, 516, 732, 572, 788, 518, 734, 482, 698)(461, 677, 483, 699, 520, 736, 577, 793, 521, 737, 484, 700)(466, 682, 491, 707, 533, 749, 593, 809, 534, 750, 492, 708)(468, 684, 495, 711, 538, 754, 597, 813, 540, 756, 496, 712)(472, 688, 501, 717, 548, 764, 602, 818, 549, 765, 502, 718)(477, 693, 509, 725, 561, 777, 618, 834, 562, 778, 510, 726)(479, 695, 513, 729, 566, 782, 622, 838, 568, 784, 514, 730)(485, 701, 522, 738, 579, 795, 546, 762, 580, 796, 523, 739)(487, 703, 525, 741, 583, 799, 543, 759, 585, 801, 526, 742)(488, 704, 527, 743, 586, 802, 633, 849, 587, 803, 528, 744)(493, 709, 535, 751, 591, 807, 531, 747, 590, 806, 536, 752)(497, 713, 541, 757, 589, 805, 529, 745, 588, 804, 542, 758)(499, 715, 532, 748, 592, 808, 634, 850, 599, 815, 545, 761)(503, 719, 550, 766, 604, 820, 574, 790, 605, 821, 551, 767)(505, 721, 553, 769, 608, 824, 571, 787, 610, 826, 554, 770)(506, 722, 555, 771, 611, 827, 644, 860, 612, 828, 556, 772)(511, 727, 563, 779, 616, 832, 559, 775, 615, 831, 564, 780)(515, 731, 569, 785, 614, 830, 557, 773, 613, 829, 570, 786)(517, 733, 560, 776, 617, 833, 645, 861, 624, 840, 573, 789)(519, 735, 575, 791, 539, 755, 598, 814, 626, 842, 576, 792)(524, 740, 581, 797, 537, 753, 595, 811, 630, 846, 582, 798)(547, 763, 600, 816, 567, 783, 623, 839, 637, 853, 601, 817)(552, 768, 606, 822, 565, 781, 620, 836, 641, 857, 607, 823)(578, 794, 627, 843, 647, 863, 631, 847, 596, 812, 628, 844)(584, 800, 629, 845, 594, 810, 635, 851, 636, 852, 632, 848)(603, 819, 638, 854, 648, 864, 642, 858, 621, 837, 639, 855)(609, 825, 640, 856, 619, 835, 646, 862, 625, 841, 643, 859)
	L = (1, 434)(2, 433)(3, 439)(4, 441)(5, 443)(6, 445)(7, 435)(8, 449)(9, 436)(10, 453)(11, 437)(12, 456)(13, 438)(14, 460)(15, 461)(16, 455)(17, 440)(18, 466)(19, 458)(20, 468)(21, 442)(22, 472)(23, 448)(24, 444)(25, 477)(26, 451)(27, 479)(28, 446)(29, 447)(30, 485)(31, 487)(32, 488)(33, 484)(34, 450)(35, 493)(36, 452)(37, 497)(38, 495)(39, 499)(40, 454)(41, 503)(42, 505)(43, 506)(44, 502)(45, 457)(46, 511)(47, 459)(48, 515)(49, 513)(50, 517)(51, 519)(52, 465)(53, 462)(54, 524)(55, 463)(56, 464)(57, 529)(58, 531)(59, 532)(60, 528)(61, 467)(62, 537)(63, 470)(64, 539)(65, 469)(66, 543)(67, 471)(68, 546)(69, 547)(70, 476)(71, 473)(72, 552)(73, 474)(74, 475)(75, 557)(76, 559)(77, 560)(78, 556)(79, 478)(80, 565)(81, 481)(82, 567)(83, 480)(84, 571)(85, 482)(86, 574)(87, 483)(88, 573)(89, 578)(90, 570)(91, 576)(92, 486)(93, 553)(94, 584)(95, 568)(96, 492)(97, 489)(98, 562)(99, 490)(100, 491)(101, 572)(102, 558)(103, 594)(104, 564)(105, 494)(106, 596)(107, 496)(108, 555)(109, 598)(110, 550)(111, 498)(112, 561)(113, 548)(114, 500)(115, 501)(116, 545)(117, 603)(118, 542)(119, 601)(120, 504)(121, 525)(122, 609)(123, 540)(124, 510)(125, 507)(126, 534)(127, 508)(128, 509)(129, 544)(130, 530)(131, 619)(132, 536)(133, 512)(134, 621)(135, 514)(136, 527)(137, 623)(138, 522)(139, 516)(140, 533)(141, 520)(142, 518)(143, 625)(144, 523)(145, 605)(146, 521)(147, 620)(148, 602)(149, 629)(150, 613)(151, 631)(152, 526)(153, 617)(154, 632)(155, 616)(156, 607)(157, 622)(158, 627)(159, 612)(160, 610)(161, 630)(162, 535)(163, 604)(164, 538)(165, 614)(166, 541)(167, 635)(168, 636)(169, 551)(170, 580)(171, 549)(172, 595)(173, 577)(174, 640)(175, 588)(176, 642)(177, 554)(178, 592)(179, 643)(180, 591)(181, 582)(182, 597)(183, 638)(184, 587)(185, 585)(186, 641)(187, 563)(188, 579)(189, 566)(190, 589)(191, 569)(192, 646)(193, 575)(194, 639)(195, 590)(196, 637)(197, 581)(198, 593)(199, 583)(200, 586)(201, 645)(202, 644)(203, 599)(204, 600)(205, 628)(206, 615)(207, 626)(208, 606)(209, 618)(210, 608)(211, 611)(212, 634)(213, 633)(214, 624)(215, 648)(216, 647)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.3096
Graph:: bipartite
	v = 144 e = 432 f = 234
	degree seq :: [ 4^108, 12^36 ]

E28.3092 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y3^-1 * Y1^-1)^2, (Y1^-1 * Y2^-1)^2, (R * Y3)^2, (R * Y1)^2, Y1^6, (Y2^3 * Y1^-1)^2, (Y2^2 * Y1^-2)^2, (Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1)^2, Y2 * Y1^-1 * Y2^-1 * Y1^2 * Y2^-1 * Y1^-1 * Y2 * Y1^-2, Y1^-1 * Y2^-1 * Y1 * Y2^5 * Y1^-1 * Y2^-2 * Y1^-1, Y2^-1 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-2 * Y2^-2 * Y1, Y2^12 ]
Map::
	R = (1, 217, 2, 218, 6, 222, 16, 232, 13, 229, 4, 220)(3, 219, 9, 225, 23, 239, 55, 271, 29, 245, 11, 227)(5, 221, 14, 230, 34, 250, 49, 265, 20, 236, 7, 223)(8, 224, 21, 237, 50, 266, 91, 307, 42, 258, 17, 233)(10, 226, 25, 241, 60, 276, 93, 309, 44, 260, 27, 243)(12, 228, 30, 246, 69, 285, 131, 347, 74, 290, 32, 248)(15, 231, 37, 253, 75, 291, 138, 354, 79, 295, 35, 251)(18, 234, 43, 259, 92, 308, 151, 367, 84, 300, 39, 255)(19, 235, 45, 261, 96, 312, 153, 369, 86, 302, 47, 263)(22, 238, 53, 269, 31, 247, 71, 287, 107, 323, 51, 267)(24, 240, 58, 274, 83, 299, 148, 364, 114, 330, 56, 272)(26, 242, 62, 278, 124, 340, 183, 399, 109, 325, 54, 270)(28, 244, 65, 281, 127, 343, 164, 380, 94, 310, 67, 283)(33, 249, 40, 256, 85, 301, 152, 368, 140, 356, 76, 292)(36, 252, 80, 296, 139, 355, 190, 406, 123, 339, 77, 293)(38, 254, 72, 288, 102, 318, 176, 392, 146, 362, 81, 297)(41, 257, 87, 303, 156, 372, 132, 348, 70, 286, 89, 305)(46, 262, 98, 314, 171, 387, 126, 342, 64, 280, 95, 311)(48, 264, 101, 317, 174, 390, 205, 421, 154, 370, 103, 319)(52, 268, 108, 324, 73, 289, 137, 353, 170, 386, 105, 321)(57, 273, 115, 331, 150, 366, 203, 419, 186, 402, 111, 327)(59, 275, 118, 334, 66, 282, 129, 345, 177, 393, 116, 332)(61, 277, 122, 338, 185, 401, 206, 422, 168, 384, 120, 336)(63, 279, 110, 326, 159, 375, 207, 423, 188, 404, 119, 335)(68, 284, 112, 328, 187, 403, 204, 420, 163, 379, 104, 320)(78, 294, 142, 358, 184, 400, 201, 417, 175, 391, 143, 359)(82, 298, 99, 315, 166, 382, 202, 418, 189, 405, 136, 352)(88, 304, 158, 374, 145, 361, 173, 389, 100, 316, 155, 371)(90, 306, 161, 377, 208, 424, 197, 413, 133, 349, 162, 378)(97, 313, 169, 385, 141, 357, 192, 408, 125, 341, 167, 383)(106, 322, 179, 395, 144, 360, 199, 415, 209, 425, 180, 396)(113, 329, 172, 388, 147, 363, 157, 373, 128, 344, 178, 394)(117, 333, 182, 398, 130, 346, 160, 376, 134, 350, 149, 365)(121, 337, 181, 397, 135, 351, 198, 414, 210, 426, 165, 381)(191, 407, 216, 432, 194, 410, 212, 428, 195, 411, 215, 431)(193, 409, 211, 427, 196, 412, 213, 429, 200, 416, 214, 430)(433, 649, 435, 651, 442, 658, 458, 674, 495, 711, 557, 773, 588, 804, 579, 795, 514, 730, 470, 686, 447, 663, 437, 653)(434, 650, 439, 655, 451, 667, 478, 694, 531, 747, 604, 820, 546, 762, 616, 832, 542, 758, 486, 702, 454, 670, 440, 656)(436, 652, 444, 660, 463, 679, 504, 720, 568, 784, 600, 816, 528, 744, 599, 815, 551, 767, 491, 707, 456, 672, 441, 657)(438, 654, 449, 665, 473, 689, 520, 736, 591, 807, 574, 790, 511, 727, 576, 792, 598, 814, 527, 743, 476, 692, 450, 666)(443, 659, 460, 676, 498, 714, 469, 685, 513, 729, 565, 781, 501, 717, 564, 780, 624, 840, 555, 771, 493, 709, 457, 673)(445, 661, 465, 681, 507, 723, 550, 766, 620, 836, 553, 769, 492, 708, 552, 768, 621, 837, 566, 782, 502, 718, 462, 678)(446, 662, 467, 683, 510, 726, 559, 775, 589, 805, 519, 735, 474, 690, 522, 738, 494, 710, 459, 675, 496, 712, 468, 684)(448, 664, 471, 687, 515, 731, 581, 797, 634, 850, 611, 827, 539, 755, 613, 829, 639, 855, 587, 803, 518, 734, 472, 688)(452, 668, 480, 696, 534, 750, 485, 701, 541, 757, 489, 705, 455, 671, 488, 704, 545, 761, 602, 818, 529, 745, 477, 693)(453, 669, 483, 699, 538, 754, 606, 822, 633, 849, 580, 796, 516, 732, 582, 798, 530, 746, 479, 695, 532, 748, 484, 700)(461, 677, 500, 716, 466, 682, 509, 725, 573, 789, 625, 841, 556, 772, 594, 810, 578, 794, 627, 843, 560, 776, 497, 713)(464, 680, 505, 721, 549, 765, 490, 706, 548, 764, 586, 802, 517, 733, 585, 801, 638, 854, 618, 834, 567, 783, 503, 719)(475, 691, 525, 741, 597, 813, 640, 856, 631, 847, 570, 786, 508, 724, 571, 787, 590, 806, 521, 737, 592, 808, 526, 742)(481, 697, 536, 752, 482, 698, 537, 753, 610, 826, 644, 860, 603, 819, 547, 763, 615, 831, 646, 862, 607, 823, 533, 749)(487, 703, 543, 759, 617, 833, 647, 863, 608, 824, 535, 751, 609, 825, 643, 859, 601, 817, 569, 785, 506, 722, 544, 760)(499, 715, 562, 778, 623, 839, 554, 770, 622, 838, 572, 788, 619, 835, 563, 779, 629, 845, 642, 858, 628, 844, 561, 777)(512, 728, 558, 774, 626, 842, 641, 857, 593, 809, 523, 739, 595, 811, 524, 740, 596, 812, 575, 791, 632, 848, 577, 793)(540, 756, 605, 821, 645, 861, 630, 846, 635, 851, 583, 799, 636, 852, 584, 800, 637, 853, 612, 828, 648, 864, 614, 830)
	L = (1, 435)(2, 439)(3, 442)(4, 444)(5, 433)(6, 449)(7, 451)(8, 434)(9, 436)(10, 458)(11, 460)(12, 463)(13, 465)(14, 467)(15, 437)(16, 471)(17, 473)(18, 438)(19, 478)(20, 480)(21, 483)(22, 440)(23, 488)(24, 441)(25, 443)(26, 495)(27, 496)(28, 498)(29, 500)(30, 445)(31, 504)(32, 505)(33, 507)(34, 509)(35, 510)(36, 446)(37, 513)(38, 447)(39, 515)(40, 448)(41, 520)(42, 522)(43, 525)(44, 450)(45, 452)(46, 531)(47, 532)(48, 534)(49, 536)(50, 537)(51, 538)(52, 453)(53, 541)(54, 454)(55, 543)(56, 545)(57, 455)(58, 548)(59, 456)(60, 552)(61, 457)(62, 459)(63, 557)(64, 468)(65, 461)(66, 469)(67, 562)(68, 466)(69, 564)(70, 462)(71, 464)(72, 568)(73, 549)(74, 544)(75, 550)(76, 571)(77, 573)(78, 559)(79, 576)(80, 558)(81, 565)(82, 470)(83, 581)(84, 582)(85, 585)(86, 472)(87, 474)(88, 591)(89, 592)(90, 494)(91, 595)(92, 596)(93, 597)(94, 475)(95, 476)(96, 599)(97, 477)(98, 479)(99, 604)(100, 484)(101, 481)(102, 485)(103, 609)(104, 482)(105, 610)(106, 606)(107, 613)(108, 605)(109, 489)(110, 486)(111, 617)(112, 487)(113, 602)(114, 616)(115, 615)(116, 586)(117, 490)(118, 620)(119, 491)(120, 621)(121, 492)(122, 622)(123, 493)(124, 594)(125, 588)(126, 626)(127, 589)(128, 497)(129, 499)(130, 623)(131, 629)(132, 624)(133, 501)(134, 502)(135, 503)(136, 600)(137, 506)(138, 508)(139, 590)(140, 619)(141, 625)(142, 511)(143, 632)(144, 598)(145, 512)(146, 627)(147, 514)(148, 516)(149, 634)(150, 530)(151, 636)(152, 637)(153, 638)(154, 517)(155, 518)(156, 579)(157, 519)(158, 521)(159, 574)(160, 526)(161, 523)(162, 578)(163, 524)(164, 575)(165, 640)(166, 527)(167, 551)(168, 528)(169, 569)(170, 529)(171, 547)(172, 546)(173, 645)(174, 633)(175, 533)(176, 535)(177, 643)(178, 644)(179, 539)(180, 648)(181, 639)(182, 540)(183, 646)(184, 542)(185, 647)(186, 567)(187, 563)(188, 553)(189, 566)(190, 572)(191, 554)(192, 555)(193, 556)(194, 641)(195, 560)(196, 561)(197, 642)(198, 635)(199, 570)(200, 577)(201, 580)(202, 611)(203, 583)(204, 584)(205, 612)(206, 618)(207, 587)(208, 631)(209, 593)(210, 628)(211, 601)(212, 603)(213, 630)(214, 607)(215, 608)(216, 614)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.3095
Graph:: bipartite
	v = 54 e = 432 f = 324
	degree seq :: [ 12^36, 24^18 ]

E28.3093 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y1^6, Y2 * Y1^-1 * Y2^-2 * Y1^-2 * Y2^-1 * Y1, (Y2 * Y1^-1 * Y2^2)^2, Y1 * Y2^-2 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^3, (Y2^-1 * Y1^2 * Y2^-1 * Y1)^2, Y2^3 * Y1 * Y2^-3 * Y1^-1 * Y2^2 * Y1^-2, Y2^12 ]
Map::
	R = (1, 217, 2, 218, 6, 222, 16, 232, 13, 229, 4, 220)(3, 219, 9, 225, 23, 239, 55, 271, 29, 245, 11, 227)(5, 221, 14, 230, 34, 250, 49, 265, 20, 236, 7, 223)(8, 224, 21, 237, 50, 266, 89, 305, 42, 258, 17, 233)(10, 226, 25, 241, 59, 275, 117, 333, 64, 280, 27, 243)(12, 228, 30, 246, 60, 276, 119, 335, 73, 289, 32, 248)(15, 231, 37, 253, 79, 295, 87, 303, 41, 257, 35, 251)(18, 234, 43, 259, 90, 306, 148, 364, 83, 299, 39, 255)(19, 235, 45, 261, 24, 240, 57, 273, 98, 314, 47, 263)(22, 238, 53, 269, 106, 322, 146, 362, 82, 298, 51, 267)(26, 242, 61, 277, 121, 337, 175, 391, 107, 323, 54, 270)(28, 244, 65, 281, 122, 338, 160, 376, 92, 308, 67, 283)(31, 247, 69, 285, 85, 301, 151, 367, 133, 349, 71, 287)(33, 249, 40, 256, 84, 300, 149, 365, 138, 354, 75, 291)(36, 252, 78, 294, 137, 353, 194, 410, 140, 356, 76, 292)(38, 254, 70, 286, 131, 347, 193, 409, 139, 355, 80, 296)(44, 260, 93, 309, 162, 378, 136, 352, 74, 290, 91, 307)(46, 262, 95, 311, 165, 381, 207, 423, 163, 379, 94, 310)(48, 264, 99, 315, 166, 382, 201, 417, 150, 366, 101, 317)(52, 268, 105, 321, 72, 288, 134, 350, 176, 392, 103, 319)(56, 272, 111, 327, 147, 363, 198, 414, 182, 398, 109, 325)(58, 274, 115, 331, 184, 400, 210, 426, 181, 397, 113, 329)(62, 278, 108, 324, 154, 370, 204, 420, 185, 401, 116, 332)(63, 279, 124, 340, 180, 396, 199, 415, 174, 390, 125, 341)(66, 282, 127, 343, 173, 389, 197, 413, 179, 395, 128, 344)(68, 284, 110, 326, 183, 399, 202, 418, 159, 375, 104, 320)(77, 293, 135, 351, 190, 406, 200, 416, 161, 377, 102, 318)(81, 297, 96, 312, 164, 380, 196, 412, 188, 404, 132, 348)(86, 302, 153, 369, 205, 421, 213, 429, 203, 419, 152, 368)(88, 304, 156, 372, 206, 422, 189, 405, 120, 336, 158, 374)(97, 313, 168, 384, 126, 342, 187, 403, 142, 358, 169, 385)(100, 316, 171, 387, 141, 357, 191, 407, 123, 339, 172, 388)(112, 328, 167, 383, 144, 360, 157, 373, 130, 346, 177, 393)(114, 330, 178, 394, 129, 345, 155, 371, 143, 359, 170, 386)(118, 334, 145, 361, 195, 411, 212, 428, 211, 427, 186, 402)(192, 408, 209, 425, 215, 431, 216, 432, 214, 430, 208, 424)(433, 649, 435, 651, 442, 658, 458, 674, 494, 710, 555, 771, 594, 810, 576, 792, 513, 729, 470, 686, 447, 663, 437, 653)(434, 650, 439, 655, 451, 667, 478, 694, 528, 744, 599, 815, 565, 781, 612, 828, 540, 756, 486, 702, 454, 670, 440, 656)(436, 652, 444, 660, 463, 679, 502, 718, 564, 780, 611, 827, 538, 754, 604, 820, 548, 764, 490, 706, 456, 672, 441, 657)(438, 654, 449, 665, 473, 689, 518, 734, 586, 802, 556, 772, 496, 712, 558, 774, 596, 812, 526, 742, 476, 692, 450, 666)(443, 659, 460, 676, 498, 714, 469, 685, 512, 728, 572, 788, 616, 832, 568, 784, 623, 839, 552, 768, 492, 708, 457, 673)(445, 661, 465, 681, 506, 722, 547, 763, 617, 833, 575, 791, 511, 727, 560, 776, 620, 836, 550, 766, 491, 707, 462, 678)(446, 662, 467, 683, 474, 690, 520, 736, 589, 805, 525, 741, 595, 811, 554, 770, 493, 709, 459, 675, 495, 711, 468, 684)(448, 664, 471, 687, 514, 730, 577, 793, 628, 844, 600, 816, 530, 746, 602, 818, 636, 852, 584, 800, 517, 733, 472, 688)(452, 668, 480, 696, 532, 748, 485, 701, 539, 755, 608, 824, 563, 779, 503, 719, 544, 760, 488, 704, 455, 671, 477, 693)(453, 669, 483, 699, 515, 731, 579, 795, 631, 847, 583, 799, 635, 851, 598, 814, 527, 743, 479, 695, 529, 745, 484, 700)(461, 677, 500, 716, 562, 778, 590, 806, 573, 789, 509, 725, 466, 682, 508, 724, 571, 787, 624, 840, 553, 769, 497, 713)(464, 680, 504, 720, 546, 762, 489, 705, 545, 761, 614, 830, 627, 843, 578, 794, 629, 845, 582, 798, 516, 732, 501, 717)(475, 691, 523, 739, 507, 723, 569, 785, 619, 835, 549, 765, 618, 834, 638, 854, 585, 801, 519, 735, 587, 803, 524, 740)(481, 697, 534, 750, 606, 822, 543, 759, 609, 825, 536, 752, 482, 698, 535, 751, 607, 823, 640, 856, 597, 813, 531, 747)(487, 703, 541, 757, 613, 829, 641, 857, 625, 841, 566, 782, 505, 721, 567, 783, 603, 819, 533, 749, 605, 821, 542, 758)(499, 715, 561, 777, 622, 838, 551, 767, 621, 837, 643, 859, 647, 863, 642, 858, 626, 842, 570, 786, 615, 831, 559, 775)(510, 726, 557, 773, 593, 809, 522, 738, 592, 808, 639, 855, 646, 862, 637, 853, 588, 804, 521, 737, 591, 807, 574, 790)(537, 753, 601, 817, 634, 850, 581, 797, 633, 849, 645, 861, 648, 864, 644, 860, 630, 846, 580, 796, 632, 848, 610, 826)
	L = (1, 435)(2, 439)(3, 442)(4, 444)(5, 433)(6, 449)(7, 451)(8, 434)(9, 436)(10, 458)(11, 460)(12, 463)(13, 465)(14, 467)(15, 437)(16, 471)(17, 473)(18, 438)(19, 478)(20, 480)(21, 483)(22, 440)(23, 477)(24, 441)(25, 443)(26, 494)(27, 495)(28, 498)(29, 500)(30, 445)(31, 502)(32, 504)(33, 506)(34, 508)(35, 474)(36, 446)(37, 512)(38, 447)(39, 514)(40, 448)(41, 518)(42, 520)(43, 523)(44, 450)(45, 452)(46, 528)(47, 529)(48, 532)(49, 534)(50, 535)(51, 515)(52, 453)(53, 539)(54, 454)(55, 541)(56, 455)(57, 545)(58, 456)(59, 462)(60, 457)(61, 459)(62, 555)(63, 468)(64, 558)(65, 461)(66, 469)(67, 561)(68, 562)(69, 464)(70, 564)(71, 544)(72, 546)(73, 567)(74, 547)(75, 569)(76, 571)(77, 466)(78, 557)(79, 560)(80, 572)(81, 470)(82, 577)(83, 579)(84, 501)(85, 472)(86, 586)(87, 587)(88, 589)(89, 591)(90, 592)(91, 507)(92, 475)(93, 595)(94, 476)(95, 479)(96, 599)(97, 484)(98, 602)(99, 481)(100, 485)(101, 605)(102, 606)(103, 607)(104, 482)(105, 601)(106, 604)(107, 608)(108, 486)(109, 613)(110, 487)(111, 609)(112, 488)(113, 614)(114, 489)(115, 617)(116, 490)(117, 618)(118, 491)(119, 621)(120, 492)(121, 497)(122, 493)(123, 594)(124, 496)(125, 593)(126, 596)(127, 499)(128, 620)(129, 622)(130, 590)(131, 503)(132, 611)(133, 612)(134, 505)(135, 603)(136, 623)(137, 619)(138, 615)(139, 624)(140, 616)(141, 509)(142, 510)(143, 511)(144, 513)(145, 628)(146, 629)(147, 631)(148, 632)(149, 633)(150, 516)(151, 635)(152, 517)(153, 519)(154, 556)(155, 524)(156, 521)(157, 525)(158, 573)(159, 574)(160, 639)(161, 522)(162, 576)(163, 554)(164, 526)(165, 531)(166, 527)(167, 565)(168, 530)(169, 634)(170, 636)(171, 533)(172, 548)(173, 542)(174, 543)(175, 640)(176, 563)(177, 536)(178, 537)(179, 538)(180, 540)(181, 641)(182, 627)(183, 559)(184, 568)(185, 575)(186, 638)(187, 549)(188, 550)(189, 643)(190, 551)(191, 552)(192, 553)(193, 566)(194, 570)(195, 578)(196, 600)(197, 582)(198, 580)(199, 583)(200, 610)(201, 645)(202, 581)(203, 598)(204, 584)(205, 588)(206, 585)(207, 646)(208, 597)(209, 625)(210, 626)(211, 647)(212, 630)(213, 648)(214, 637)(215, 642)(216, 644)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.3094
Graph:: bipartite
	v = 54 e = 432 f = 324
	degree seq :: [ 12^36, 24^18 ]

E28.3094 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y2 * Y3 * Y2)^2, (Y3^-2 * Y2 * Y3^-2)^2, (Y3 * Y2)^6, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-3 * Y2 * Y3^3 * Y2 * Y3^-2, (Y3^-1 * Y1^-1)^12 ]
Map:: polytopal
	R = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)(433, 649, 434, 650)(435, 651, 439, 655)(436, 652, 441, 657)(437, 653, 443, 659)(438, 654, 445, 661)(440, 656, 449, 665)(442, 658, 453, 669)(444, 660, 457, 673)(446, 662, 461, 677)(447, 663, 463, 679)(448, 664, 456, 672)(450, 666, 468, 684)(451, 667, 459, 675)(452, 668, 471, 687)(454, 670, 475, 691)(455, 671, 477, 693)(458, 674, 482, 698)(460, 676, 485, 701)(462, 678, 489, 705)(464, 680, 493, 709)(465, 681, 495, 711)(466, 682, 497, 713)(467, 683, 492, 708)(469, 685, 490, 706)(470, 686, 503, 719)(472, 688, 507, 723)(473, 689, 505, 721)(474, 690, 509, 725)(476, 692, 483, 699)(478, 694, 514, 730)(479, 695, 516, 732)(480, 696, 518, 734)(481, 697, 513, 729)(484, 700, 524, 740)(486, 702, 528, 744)(487, 703, 526, 742)(488, 704, 530, 746)(491, 707, 527, 743)(494, 710, 537, 753)(496, 712, 540, 756)(498, 714, 544, 760)(499, 715, 545, 761)(500, 716, 547, 763)(501, 717, 543, 759)(502, 718, 541, 757)(504, 720, 552, 768)(506, 722, 512, 728)(508, 724, 558, 774)(510, 726, 560, 776)(511, 727, 553, 769)(515, 731, 567, 783)(517, 733, 570, 786)(519, 735, 574, 790)(520, 736, 575, 791)(521, 737, 577, 793)(522, 738, 573, 789)(523, 739, 571, 787)(525, 741, 582, 798)(529, 745, 588, 804)(531, 747, 590, 806)(532, 748, 583, 799)(533, 749, 586, 802)(534, 750, 594, 810)(535, 751, 596, 812)(536, 752, 585, 801)(538, 754, 568, 784)(539, 755, 572, 788)(542, 758, 569, 785)(546, 762, 607, 823)(548, 764, 609, 825)(549, 765, 608, 824)(550, 766, 591, 807)(551, 767, 581, 797)(554, 770, 612, 828)(555, 771, 566, 782)(556, 772, 563, 779)(557, 773, 614, 830)(559, 775, 593, 809)(561, 777, 580, 796)(562, 778, 617, 833)(564, 780, 619, 835)(565, 781, 621, 837)(576, 792, 632, 848)(578, 794, 634, 850)(579, 795, 633, 849)(584, 800, 637, 853)(587, 803, 639, 855)(589, 805, 618, 834)(592, 808, 642, 858)(595, 811, 627, 843)(597, 813, 629, 845)(598, 814, 631, 847)(599, 815, 641, 857)(600, 816, 626, 842)(601, 817, 625, 841)(602, 818, 620, 836)(603, 819, 635, 851)(604, 820, 622, 838)(605, 821, 636, 852)(606, 822, 623, 839)(610, 826, 628, 844)(611, 827, 630, 846)(613, 829, 640, 856)(615, 831, 638, 854)(616, 832, 624, 840)(643, 859, 647, 863)(644, 860, 646, 862)(645, 861, 648, 864)
	L = (1, 435)(2, 437)(3, 440)(4, 433)(5, 444)(6, 434)(7, 447)(8, 450)(9, 451)(10, 436)(11, 455)(12, 458)(13, 459)(14, 438)(15, 464)(16, 439)(17, 466)(18, 469)(19, 470)(20, 441)(21, 473)(22, 442)(23, 478)(24, 443)(25, 480)(26, 483)(27, 484)(28, 445)(29, 487)(30, 446)(31, 491)(32, 494)(33, 448)(34, 498)(35, 449)(36, 500)(37, 502)(38, 504)(39, 505)(40, 452)(41, 508)(42, 453)(43, 510)(44, 454)(45, 512)(46, 515)(47, 456)(48, 519)(49, 457)(50, 521)(51, 523)(52, 525)(53, 526)(54, 460)(55, 529)(56, 461)(57, 531)(58, 462)(59, 533)(60, 463)(61, 535)(62, 475)(63, 538)(64, 465)(65, 542)(66, 474)(67, 467)(68, 472)(69, 468)(70, 549)(71, 550)(72, 553)(73, 554)(74, 471)(75, 556)(76, 559)(77, 560)(78, 562)(79, 476)(80, 563)(81, 477)(82, 565)(83, 489)(84, 568)(85, 479)(86, 572)(87, 488)(88, 481)(89, 486)(90, 482)(91, 579)(92, 580)(93, 583)(94, 584)(95, 485)(96, 586)(97, 589)(98, 590)(99, 592)(100, 490)(101, 593)(102, 492)(103, 597)(104, 493)(105, 571)(106, 599)(107, 495)(108, 600)(109, 496)(110, 601)(111, 497)(112, 603)(113, 605)(114, 499)(115, 578)(116, 501)(117, 511)(118, 610)(119, 503)(120, 607)(121, 577)(122, 602)(123, 506)(124, 613)(125, 507)(126, 615)(127, 608)(128, 595)(129, 509)(130, 567)(131, 618)(132, 513)(133, 622)(134, 514)(135, 541)(136, 624)(137, 516)(138, 625)(139, 517)(140, 626)(141, 518)(142, 628)(143, 630)(144, 520)(145, 548)(146, 522)(147, 532)(148, 635)(149, 524)(150, 632)(151, 547)(152, 627)(153, 527)(154, 638)(155, 528)(156, 640)(157, 633)(158, 620)(159, 530)(160, 537)(161, 540)(162, 636)(163, 534)(164, 623)(165, 539)(166, 536)(167, 637)(168, 561)(169, 552)(170, 543)(171, 643)(172, 544)(173, 645)(174, 545)(175, 555)(176, 546)(177, 619)(178, 557)(179, 551)(180, 642)(181, 639)(182, 634)(183, 644)(184, 558)(185, 621)(186, 570)(187, 611)(188, 564)(189, 598)(190, 569)(191, 566)(192, 612)(193, 591)(194, 582)(195, 573)(196, 646)(197, 574)(198, 648)(199, 575)(200, 585)(201, 576)(202, 594)(203, 587)(204, 581)(205, 617)(206, 614)(207, 609)(208, 647)(209, 588)(210, 596)(211, 606)(212, 604)(213, 616)(214, 631)(215, 629)(216, 641)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 12, 24 ), ( 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.3093
Graph:: simple bipartite
	v = 324 e = 432 f = 54
	degree seq :: [ 2^216, 4^108 ]

E28.3095 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^-3 * Y2 * Y3^-1)^2, Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^4, Y3^-1 * Y2 * Y3^3 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-2, (Y3 * Y2)^6, (Y3 * Y2 * Y3^2 * Y2 * Y3^-2 * Y2)^2, (Y3^-1 * Y1^-1)^12 ]
Map:: polytopal
	R = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)(433, 649, 434, 650)(435, 651, 439, 655)(436, 652, 441, 657)(437, 653, 443, 659)(438, 654, 445, 661)(440, 656, 449, 665)(442, 658, 453, 669)(444, 660, 457, 673)(446, 662, 461, 677)(447, 663, 463, 679)(448, 664, 465, 681)(450, 666, 469, 685)(451, 667, 471, 687)(452, 668, 473, 689)(454, 670, 477, 693)(455, 671, 479, 695)(456, 672, 481, 697)(458, 674, 485, 701)(459, 675, 487, 703)(460, 676, 489, 705)(462, 678, 493, 709)(464, 680, 497, 713)(466, 682, 501, 717)(467, 683, 503, 719)(468, 684, 505, 721)(470, 686, 494, 710)(472, 688, 512, 728)(474, 690, 516, 732)(475, 691, 517, 733)(476, 692, 519, 735)(478, 694, 486, 702)(480, 696, 524, 740)(482, 698, 528, 744)(483, 699, 530, 746)(484, 700, 532, 748)(488, 704, 539, 755)(490, 706, 543, 759)(491, 707, 544, 760)(492, 708, 546, 762)(495, 711, 542, 758)(496, 712, 550, 766)(498, 714, 525, 741)(499, 715, 536, 752)(500, 716, 554, 770)(502, 718, 557, 773)(504, 720, 560, 776)(506, 722, 563, 779)(507, 723, 534, 750)(508, 724, 565, 781)(509, 725, 526, 742)(510, 726, 567, 783)(511, 727, 548, 764)(513, 729, 559, 775)(514, 730, 564, 780)(515, 731, 522, 738)(518, 734, 574, 790)(520, 736, 561, 777)(521, 737, 538, 754)(523, 739, 576, 792)(527, 743, 580, 796)(529, 745, 583, 799)(531, 747, 586, 802)(533, 749, 589, 805)(535, 751, 591, 807)(537, 753, 593, 809)(540, 756, 585, 801)(541, 757, 590, 806)(545, 761, 600, 816)(547, 763, 587, 803)(549, 765, 601, 817)(551, 767, 594, 810)(552, 768, 581, 797)(553, 769, 599, 815)(555, 771, 578, 794)(556, 772, 596, 812)(558, 774, 607, 823)(562, 778, 597, 813)(566, 782, 602, 818)(568, 784, 577, 793)(569, 785, 598, 814)(570, 786, 582, 798)(571, 787, 588, 804)(572, 788, 595, 811)(573, 789, 579, 795)(575, 791, 622, 838)(584, 800, 628, 844)(592, 808, 623, 839)(603, 819, 636, 852)(604, 820, 633, 849)(605, 821, 635, 851)(606, 822, 627, 843)(608, 824, 642, 858)(609, 825, 631, 847)(610, 826, 630, 846)(611, 827, 638, 854)(612, 828, 625, 841)(613, 829, 639, 855)(614, 830, 626, 842)(615, 831, 624, 840)(616, 832, 637, 853)(617, 833, 632, 848)(618, 834, 634, 850)(619, 835, 641, 857)(620, 836, 640, 856)(621, 837, 629, 845)(643, 859, 647, 863)(644, 860, 646, 862)(645, 861, 648, 864)
	L = (1, 435)(2, 437)(3, 440)(4, 433)(5, 444)(6, 434)(7, 447)(8, 450)(9, 451)(10, 436)(11, 455)(12, 458)(13, 459)(14, 438)(15, 464)(16, 439)(17, 467)(18, 470)(19, 472)(20, 441)(21, 475)(22, 442)(23, 480)(24, 443)(25, 483)(26, 486)(27, 488)(28, 445)(29, 491)(30, 446)(31, 495)(32, 498)(33, 499)(34, 448)(35, 504)(36, 449)(37, 507)(38, 509)(39, 510)(40, 513)(41, 514)(42, 452)(43, 518)(44, 453)(45, 520)(46, 454)(47, 522)(48, 525)(49, 526)(50, 456)(51, 531)(52, 457)(53, 534)(54, 536)(55, 537)(56, 540)(57, 541)(58, 460)(59, 545)(60, 461)(61, 547)(62, 462)(63, 549)(64, 463)(65, 552)(66, 477)(67, 529)(68, 465)(69, 555)(70, 466)(71, 558)(72, 476)(73, 561)(74, 468)(75, 474)(76, 469)(77, 566)(78, 535)(79, 471)(80, 568)(81, 538)(82, 570)(83, 473)(84, 571)(85, 573)(86, 550)(87, 557)(88, 527)(89, 478)(90, 575)(91, 479)(92, 578)(93, 493)(94, 502)(95, 481)(96, 581)(97, 482)(98, 584)(99, 492)(100, 587)(101, 484)(102, 490)(103, 485)(104, 592)(105, 508)(106, 487)(107, 594)(108, 511)(109, 596)(110, 489)(111, 597)(112, 599)(113, 576)(114, 583)(115, 500)(116, 494)(117, 519)(118, 602)(119, 496)(120, 604)(121, 497)(122, 606)(123, 608)(124, 501)(125, 609)(126, 515)(127, 503)(128, 611)(129, 603)(130, 505)(131, 613)(132, 506)(133, 517)(134, 521)(135, 601)(136, 617)(137, 512)(138, 615)(139, 619)(140, 516)(141, 610)(142, 620)(143, 546)(144, 623)(145, 523)(146, 625)(147, 524)(148, 627)(149, 629)(150, 528)(151, 630)(152, 542)(153, 530)(154, 632)(155, 624)(156, 532)(157, 634)(158, 533)(159, 544)(160, 548)(161, 622)(162, 638)(163, 539)(164, 636)(165, 640)(166, 543)(167, 631)(168, 641)(169, 639)(170, 564)(171, 551)(172, 556)(173, 553)(174, 626)(175, 554)(176, 628)(177, 562)(178, 559)(179, 643)(180, 560)(181, 645)(182, 563)(183, 565)(184, 567)(185, 572)(186, 569)(187, 637)(188, 644)(189, 574)(190, 618)(191, 590)(192, 577)(193, 582)(194, 579)(195, 605)(196, 580)(197, 607)(198, 588)(199, 585)(200, 646)(201, 586)(202, 648)(203, 589)(204, 591)(205, 593)(206, 598)(207, 595)(208, 616)(209, 647)(210, 600)(211, 614)(212, 612)(213, 621)(214, 635)(215, 633)(216, 642)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 12, 24 ), ( 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.3092
Graph:: simple bipartite
	v = 324 e = 432 f = 54
	degree seq :: [ 2^216, 4^108 ]

E28.3096 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (Y1 * Y3 * Y1^-1 * Y3)^2, (Y1^-3 * Y3 * Y1^-1)^2, Y1^12, (Y3 * Y1^-1)^6, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-3 * Y3 * Y1^3 * Y3 * Y1^-2 ]
Map:: polytopal
	R = (1, 217, 2, 218, 5, 221, 11, 227, 23, 239, 45, 261, 80, 296, 79, 295, 44, 260, 22, 238, 10, 226, 4, 220)(3, 219, 7, 223, 15, 231, 31, 247, 59, 275, 101, 317, 134, 350, 82, 298, 46, 262, 37, 253, 18, 234, 8, 224)(6, 222, 13, 229, 27, 243, 53, 269, 43, 259, 78, 294, 130, 346, 132, 348, 81, 297, 58, 274, 30, 246, 14, 230)(9, 225, 19, 235, 38, 254, 71, 287, 118, 334, 138, 354, 85, 301, 48, 264, 24, 240, 47, 263, 40, 256, 20, 236)(12, 228, 25, 241, 49, 265, 42, 258, 21, 237, 41, 257, 76, 292, 126, 342, 131, 347, 90, 306, 52, 268, 26, 242)(16, 232, 33, 249, 63, 279, 108, 324, 70, 286, 117, 333, 149, 365, 91, 307, 148, 364, 97, 313, 56, 272, 29, 245)(17, 233, 34, 250, 65, 281, 111, 327, 133, 349, 83, 299, 135, 351, 103, 319, 60, 276, 102, 318, 67, 283, 35, 251)(28, 244, 55, 271, 94, 310, 154, 370, 100, 316, 160, 376, 129, 345, 77, 293, 128, 344, 144, 360, 88, 304, 51, 267)(32, 248, 61, 277, 104, 320, 69, 285, 36, 252, 68, 284, 115, 331, 174, 390, 186, 402, 165, 381, 107, 323, 62, 278)(39, 255, 73, 289, 122, 338, 136, 352, 84, 300, 50, 266, 87, 303, 141, 357, 119, 335, 147, 363, 123, 339, 74, 290)(54, 270, 92, 308, 150, 366, 99, 315, 57, 273, 98, 314, 158, 374, 208, 424, 185, 401, 204, 420, 153, 369, 93, 309)(64, 280, 110, 326, 168, 384, 207, 423, 157, 373, 195, 411, 177, 393, 116, 332, 176, 392, 188, 404, 163, 379, 106, 322)(66, 282, 113, 329, 172, 388, 197, 413, 161, 377, 105, 321, 159, 375, 210, 426, 169, 385, 202, 418, 152, 368, 95, 311)(72, 288, 120, 336, 178, 394, 125, 341, 75, 291, 124, 340, 181, 397, 190, 406, 137, 353, 189, 405, 179, 395, 121, 337)(86, 302, 139, 355, 191, 407, 146, 362, 89, 305, 145, 361, 198, 414, 184, 400, 127, 343, 183, 399, 194, 410, 140, 356)(96, 312, 156, 372, 206, 422, 180, 396, 200, 416, 151, 367, 199, 415, 167, 383, 109, 325, 166, 382, 193, 409, 142, 358)(112, 328, 170, 386, 192, 408, 173, 389, 114, 330, 155, 371, 205, 421, 182, 398, 187, 403, 143, 359, 196, 412, 171, 387)(162, 378, 211, 427, 215, 431, 203, 419, 164, 380, 212, 428, 216, 432, 209, 425, 175, 391, 213, 429, 214, 430, 201, 417)(433, 649)(434, 650)(435, 651)(436, 652)(437, 653)(438, 654)(439, 655)(440, 656)(441, 657)(442, 658)(443, 659)(444, 660)(445, 661)(446, 662)(447, 663)(448, 664)(449, 665)(450, 666)(451, 667)(452, 668)(453, 669)(454, 670)(455, 671)(456, 672)(457, 673)(458, 674)(459, 675)(460, 676)(461, 677)(462, 678)(463, 679)(464, 680)(465, 681)(466, 682)(467, 683)(468, 684)(469, 685)(470, 686)(471, 687)(472, 688)(473, 689)(474, 690)(475, 691)(476, 692)(477, 693)(478, 694)(479, 695)(480, 696)(481, 697)(482, 698)(483, 699)(484, 700)(485, 701)(486, 702)(487, 703)(488, 704)(489, 705)(490, 706)(491, 707)(492, 708)(493, 709)(494, 710)(495, 711)(496, 712)(497, 713)(498, 714)(499, 715)(500, 716)(501, 717)(502, 718)(503, 719)(504, 720)(505, 721)(506, 722)(507, 723)(508, 724)(509, 725)(510, 726)(511, 727)(512, 728)(513, 729)(514, 730)(515, 731)(516, 732)(517, 733)(518, 734)(519, 735)(520, 736)(521, 737)(522, 738)(523, 739)(524, 740)(525, 741)(526, 742)(527, 743)(528, 744)(529, 745)(530, 746)(531, 747)(532, 748)(533, 749)(534, 750)(535, 751)(536, 752)(537, 753)(538, 754)(539, 755)(540, 756)(541, 757)(542, 758)(543, 759)(544, 760)(545, 761)(546, 762)(547, 763)(548, 764)(549, 765)(550, 766)(551, 767)(552, 768)(553, 769)(554, 770)(555, 771)(556, 772)(557, 773)(558, 774)(559, 775)(560, 776)(561, 777)(562, 778)(563, 779)(564, 780)(565, 781)(566, 782)(567, 783)(568, 784)(569, 785)(570, 786)(571, 787)(572, 788)(573, 789)(574, 790)(575, 791)(576, 792)(577, 793)(578, 794)(579, 795)(580, 796)(581, 797)(582, 798)(583, 799)(584, 800)(585, 801)(586, 802)(587, 803)(588, 804)(589, 805)(590, 806)(591, 807)(592, 808)(593, 809)(594, 810)(595, 811)(596, 812)(597, 813)(598, 814)(599, 815)(600, 816)(601, 817)(602, 818)(603, 819)(604, 820)(605, 821)(606, 822)(607, 823)(608, 824)(609, 825)(610, 826)(611, 827)(612, 828)(613, 829)(614, 830)(615, 831)(616, 832)(617, 833)(618, 834)(619, 835)(620, 836)(621, 837)(622, 838)(623, 839)(624, 840)(625, 841)(626, 842)(627, 843)(628, 844)(629, 845)(630, 846)(631, 847)(632, 848)(633, 849)(634, 850)(635, 851)(636, 852)(637, 853)(638, 854)(639, 855)(640, 856)(641, 857)(642, 858)(643, 859)(644, 860)(645, 861)(646, 862)(647, 863)(648, 864)
	L = (1, 435)(2, 438)(3, 433)(4, 441)(5, 444)(6, 434)(7, 448)(8, 449)(9, 436)(10, 453)(11, 456)(12, 437)(13, 460)(14, 461)(15, 464)(16, 439)(17, 440)(18, 468)(19, 466)(20, 471)(21, 442)(22, 475)(23, 478)(24, 443)(25, 482)(26, 483)(27, 486)(28, 445)(29, 446)(30, 489)(31, 492)(32, 447)(33, 496)(34, 451)(35, 498)(36, 450)(37, 502)(38, 504)(39, 452)(40, 507)(41, 505)(42, 509)(43, 454)(44, 491)(45, 513)(46, 455)(47, 515)(48, 516)(49, 518)(50, 457)(51, 458)(52, 521)(53, 523)(54, 459)(55, 527)(56, 528)(57, 462)(58, 532)(59, 476)(60, 463)(61, 537)(62, 538)(63, 541)(64, 465)(65, 544)(66, 467)(67, 546)(68, 545)(69, 548)(70, 469)(71, 551)(72, 470)(73, 473)(74, 542)(75, 472)(76, 559)(77, 474)(78, 560)(79, 550)(80, 563)(81, 477)(82, 565)(83, 479)(84, 480)(85, 569)(86, 481)(87, 574)(88, 575)(89, 484)(90, 579)(91, 485)(92, 583)(93, 584)(94, 587)(95, 487)(96, 488)(97, 589)(98, 588)(99, 591)(100, 490)(101, 580)(102, 570)(103, 593)(104, 594)(105, 493)(106, 494)(107, 596)(108, 564)(109, 495)(110, 506)(111, 601)(112, 497)(113, 500)(114, 499)(115, 607)(116, 501)(117, 608)(118, 511)(119, 503)(120, 609)(121, 603)(122, 612)(123, 599)(124, 600)(125, 614)(126, 586)(127, 508)(128, 510)(129, 602)(130, 617)(131, 512)(132, 540)(133, 514)(134, 618)(135, 619)(136, 620)(137, 517)(138, 534)(139, 624)(140, 625)(141, 627)(142, 519)(143, 520)(144, 629)(145, 628)(146, 631)(147, 522)(148, 533)(149, 632)(150, 633)(151, 524)(152, 525)(153, 635)(154, 558)(155, 526)(156, 530)(157, 529)(158, 641)(159, 531)(160, 642)(161, 535)(162, 536)(163, 621)(164, 539)(165, 634)(166, 636)(167, 555)(168, 556)(169, 543)(170, 561)(171, 553)(172, 640)(173, 622)(174, 639)(175, 547)(176, 549)(177, 552)(178, 643)(179, 644)(180, 554)(181, 645)(182, 557)(183, 637)(184, 638)(185, 562)(186, 566)(187, 567)(188, 568)(189, 595)(190, 605)(191, 646)(192, 571)(193, 572)(194, 647)(195, 573)(196, 577)(197, 576)(198, 648)(199, 578)(200, 581)(201, 582)(202, 597)(203, 585)(204, 598)(205, 615)(206, 616)(207, 606)(208, 604)(209, 590)(210, 592)(211, 610)(212, 611)(213, 613)(214, 623)(215, 626)(216, 630)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3091
Graph:: simple bipartite
	v = 234 e = 432 f = 144
	degree seq :: [ 2^216, 24^18 ]

E28.3097 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (Y1^3 * Y3 * Y1)^2, (Y3 * Y1^-1 * Y3 * Y1^-3)^2, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^5 * Y3 * Y1^-1, (Y3 * Y1^-1)^6, Y1^12, (Y3 * Y1^2 * Y3 * Y1^-1 * Y3 * Y1^-2)^2, (Y3 * Y1 * Y3 * Y1^2 * Y3 * Y1^-2)^2 ]
Map:: polytopal
	R = (1, 217, 2, 218, 5, 221, 11, 227, 23, 239, 47, 263, 90, 306, 89, 305, 46, 262, 22, 238, 10, 226, 4, 220)(3, 219, 7, 223, 15, 231, 31, 247, 63, 279, 111, 327, 144, 360, 92, 308, 48, 264, 38, 254, 18, 234, 8, 224)(6, 222, 13, 229, 27, 243, 55, 271, 45, 261, 88, 304, 125, 341, 69, 285, 91, 307, 62, 278, 30, 246, 14, 230)(9, 225, 19, 235, 39, 255, 78, 294, 129, 345, 72, 288, 95, 311, 50, 266, 24, 240, 49, 265, 42, 258, 20, 236)(12, 228, 25, 241, 51, 267, 44, 260, 21, 237, 43, 259, 85, 301, 108, 324, 143, 359, 102, 318, 54, 270, 26, 242)(16, 232, 33, 249, 67, 283, 103, 319, 77, 293, 113, 329, 60, 276, 29, 245, 59, 275, 110, 326, 70, 286, 34, 250)(17, 233, 35, 251, 71, 287, 127, 343, 81, 297, 40, 256, 80, 296, 117, 333, 64, 280, 93, 309, 74, 290, 36, 252)(28, 244, 57, 273, 106, 322, 87, 303, 116, 332, 153, 369, 100, 316, 53, 269, 99, 315, 151, 367, 109, 325, 58, 274)(32, 248, 65, 281, 118, 334, 76, 292, 37, 253, 75, 291, 132, 348, 177, 393, 190, 406, 174, 390, 121, 337, 66, 282)(41, 257, 82, 298, 138, 354, 145, 361, 94, 310, 86, 302, 142, 358, 150, 366, 98, 314, 52, 268, 97, 313, 83, 299)(56, 272, 104, 320, 156, 372, 115, 331, 61, 277, 114, 330, 166, 382, 209, 425, 179, 395, 208, 424, 159, 375, 105, 321)(68, 284, 123, 339, 176, 392, 134, 350, 163, 379, 199, 415, 172, 388, 120, 336, 165, 381, 191, 407, 178, 394, 124, 340)(73, 289, 130, 346, 168, 384, 200, 416, 169, 385, 133, 349, 158, 374, 202, 418, 171, 387, 119, 335, 161, 377, 107, 323)(79, 295, 135, 351, 184, 400, 140, 356, 84, 300, 139, 355, 187, 403, 193, 409, 146, 362, 192, 408, 185, 401, 136, 352)(96, 312, 147, 363, 194, 410, 155, 371, 101, 317, 154, 370, 203, 419, 189, 405, 141, 357, 188, 404, 197, 413, 148, 364)(112, 328, 164, 380, 205, 421, 175, 391, 122, 338, 167, 383, 196, 412, 180, 396, 126, 342, 157, 373, 198, 414, 149, 365)(128, 344, 162, 378, 195, 411, 182, 398, 131, 347, 152, 368, 201, 417, 186, 402, 137, 353, 160, 376, 204, 420, 181, 397)(170, 386, 211, 427, 215, 431, 207, 423, 173, 389, 212, 428, 216, 432, 210, 426, 183, 399, 213, 429, 214, 430, 206, 422)(433, 649)(434, 650)(435, 651)(436, 652)(437, 653)(438, 654)(439, 655)(440, 656)(441, 657)(442, 658)(443, 659)(444, 660)(445, 661)(446, 662)(447, 663)(448, 664)(449, 665)(450, 666)(451, 667)(452, 668)(453, 669)(454, 670)(455, 671)(456, 672)(457, 673)(458, 674)(459, 675)(460, 676)(461, 677)(462, 678)(463, 679)(464, 680)(465, 681)(466, 682)(467, 683)(468, 684)(469, 685)(470, 686)(471, 687)(472, 688)(473, 689)(474, 690)(475, 691)(476, 692)(477, 693)(478, 694)(479, 695)(480, 696)(481, 697)(482, 698)(483, 699)(484, 700)(485, 701)(486, 702)(487, 703)(488, 704)(489, 705)(490, 706)(491, 707)(492, 708)(493, 709)(494, 710)(495, 711)(496, 712)(497, 713)(498, 714)(499, 715)(500, 716)(501, 717)(502, 718)(503, 719)(504, 720)(505, 721)(506, 722)(507, 723)(508, 724)(509, 725)(510, 726)(511, 727)(512, 728)(513, 729)(514, 730)(515, 731)(516, 732)(517, 733)(518, 734)(519, 735)(520, 736)(521, 737)(522, 738)(523, 739)(524, 740)(525, 741)(526, 742)(527, 743)(528, 744)(529, 745)(530, 746)(531, 747)(532, 748)(533, 749)(534, 750)(535, 751)(536, 752)(537, 753)(538, 754)(539, 755)(540, 756)(541, 757)(542, 758)(543, 759)(544, 760)(545, 761)(546, 762)(547, 763)(548, 764)(549, 765)(550, 766)(551, 767)(552, 768)(553, 769)(554, 770)(555, 771)(556, 772)(557, 773)(558, 774)(559, 775)(560, 776)(561, 777)(562, 778)(563, 779)(564, 780)(565, 781)(566, 782)(567, 783)(568, 784)(569, 785)(570, 786)(571, 787)(572, 788)(573, 789)(574, 790)(575, 791)(576, 792)(577, 793)(578, 794)(579, 795)(580, 796)(581, 797)(582, 798)(583, 799)(584, 800)(585, 801)(586, 802)(587, 803)(588, 804)(589, 805)(590, 806)(591, 807)(592, 808)(593, 809)(594, 810)(595, 811)(596, 812)(597, 813)(598, 814)(599, 815)(600, 816)(601, 817)(602, 818)(603, 819)(604, 820)(605, 821)(606, 822)(607, 823)(608, 824)(609, 825)(610, 826)(611, 827)(612, 828)(613, 829)(614, 830)(615, 831)(616, 832)(617, 833)(618, 834)(619, 835)(620, 836)(621, 837)(622, 838)(623, 839)(624, 840)(625, 841)(626, 842)(627, 843)(628, 844)(629, 845)(630, 846)(631, 847)(632, 848)(633, 849)(634, 850)(635, 851)(636, 852)(637, 853)(638, 854)(639, 855)(640, 856)(641, 857)(642, 858)(643, 859)(644, 860)(645, 861)(646, 862)(647, 863)(648, 864)
	L = (1, 435)(2, 438)(3, 433)(4, 441)(5, 444)(6, 434)(7, 448)(8, 449)(9, 436)(10, 453)(11, 456)(12, 437)(13, 460)(14, 461)(15, 464)(16, 439)(17, 440)(18, 469)(19, 472)(20, 473)(21, 442)(22, 477)(23, 480)(24, 443)(25, 484)(26, 485)(27, 488)(28, 445)(29, 446)(30, 493)(31, 496)(32, 447)(33, 500)(34, 501)(35, 504)(36, 505)(37, 450)(38, 509)(39, 511)(40, 451)(41, 452)(42, 516)(43, 518)(44, 519)(45, 454)(46, 495)(47, 523)(48, 455)(49, 525)(50, 526)(51, 528)(52, 457)(53, 458)(54, 533)(55, 535)(56, 459)(57, 539)(58, 540)(59, 543)(60, 544)(61, 462)(62, 548)(63, 478)(64, 463)(65, 551)(66, 552)(67, 554)(68, 465)(69, 466)(70, 558)(71, 560)(72, 467)(73, 468)(74, 563)(75, 565)(76, 566)(77, 470)(78, 530)(79, 471)(80, 569)(81, 524)(82, 534)(83, 555)(84, 474)(85, 573)(86, 475)(87, 476)(88, 531)(89, 561)(90, 575)(91, 479)(92, 513)(93, 481)(94, 482)(95, 578)(96, 483)(97, 581)(98, 510)(99, 520)(100, 584)(101, 486)(102, 514)(103, 487)(104, 589)(105, 590)(106, 592)(107, 489)(108, 490)(109, 594)(110, 595)(111, 491)(112, 492)(113, 597)(114, 599)(115, 600)(116, 494)(117, 601)(118, 602)(119, 497)(120, 498)(121, 605)(122, 499)(123, 515)(124, 609)(125, 611)(126, 502)(127, 603)(128, 503)(129, 521)(130, 606)(131, 506)(132, 615)(133, 507)(134, 508)(135, 610)(136, 614)(137, 512)(138, 612)(139, 604)(140, 613)(141, 517)(142, 607)(143, 522)(144, 622)(145, 623)(146, 527)(147, 627)(148, 628)(149, 529)(150, 631)(151, 632)(152, 532)(153, 634)(154, 636)(155, 637)(156, 638)(157, 536)(158, 537)(159, 639)(160, 538)(161, 641)(162, 541)(163, 542)(164, 640)(165, 545)(166, 642)(167, 546)(168, 547)(169, 549)(170, 550)(171, 559)(172, 571)(173, 553)(174, 562)(175, 574)(176, 624)(177, 556)(178, 567)(179, 557)(180, 570)(181, 572)(182, 568)(183, 564)(184, 643)(185, 644)(186, 625)(187, 645)(188, 633)(189, 630)(190, 576)(191, 577)(192, 608)(193, 618)(194, 646)(195, 579)(196, 580)(197, 647)(198, 621)(199, 582)(200, 583)(201, 620)(202, 585)(203, 648)(204, 586)(205, 587)(206, 588)(207, 591)(208, 596)(209, 593)(210, 598)(211, 616)(212, 617)(213, 619)(214, 626)(215, 629)(216, 635)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3090
Graph:: simple bipartite
	v = 234 e = 432 f = 144
	degree seq :: [ 2^216, 24^18 ]

E28.3098 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1 * Y2 * Y1)^2, Y2^-2 * R * Y2^4 * R * Y2^-2, (Y2^-3 * Y1 * Y2^-1)^2, (Y3 * Y2^-1)^6, (Y2^-1 * Y1)^6, Y2^12, Y2^-2 * Y1 * Y2^3 * Y1 * Y2 * Y1 * Y2^3 * Y1 * Y2^-1 ]
Map::
	R = (1, 217, 2, 218)(3, 219, 7, 223)(4, 220, 9, 225)(5, 221, 11, 227)(6, 222, 13, 229)(8, 224, 17, 233)(10, 226, 21, 237)(12, 228, 25, 241)(14, 230, 29, 245)(15, 231, 31, 247)(16, 232, 24, 240)(18, 234, 36, 252)(19, 235, 27, 243)(20, 236, 39, 255)(22, 238, 43, 259)(23, 239, 45, 261)(26, 242, 50, 266)(28, 244, 53, 269)(30, 246, 57, 273)(32, 248, 61, 277)(33, 249, 63, 279)(34, 250, 65, 281)(35, 251, 60, 276)(37, 253, 58, 274)(38, 254, 71, 287)(40, 256, 75, 291)(41, 257, 73, 289)(42, 258, 77, 293)(44, 260, 51, 267)(46, 262, 82, 298)(47, 263, 84, 300)(48, 264, 86, 302)(49, 265, 81, 297)(52, 268, 92, 308)(54, 270, 96, 312)(55, 271, 94, 310)(56, 272, 98, 314)(59, 275, 95, 311)(62, 278, 105, 321)(64, 280, 108, 324)(66, 282, 112, 328)(67, 283, 113, 329)(68, 284, 115, 331)(69, 285, 111, 327)(70, 286, 109, 325)(72, 288, 120, 336)(74, 290, 80, 296)(76, 292, 126, 342)(78, 294, 128, 344)(79, 295, 121, 337)(83, 299, 135, 351)(85, 301, 138, 354)(87, 303, 142, 358)(88, 304, 143, 359)(89, 305, 145, 361)(90, 306, 141, 357)(91, 307, 139, 355)(93, 309, 150, 366)(97, 313, 156, 372)(99, 315, 158, 374)(100, 316, 151, 367)(101, 317, 154, 370)(102, 318, 162, 378)(103, 319, 164, 380)(104, 320, 153, 369)(106, 322, 136, 352)(107, 323, 140, 356)(110, 326, 137, 353)(114, 330, 175, 391)(116, 332, 177, 393)(117, 333, 176, 392)(118, 334, 159, 375)(119, 335, 149, 365)(122, 338, 180, 396)(123, 339, 134, 350)(124, 340, 131, 347)(125, 341, 182, 398)(127, 343, 161, 377)(129, 345, 148, 364)(130, 346, 185, 401)(132, 348, 187, 403)(133, 349, 189, 405)(144, 360, 200, 416)(146, 362, 202, 418)(147, 363, 201, 417)(152, 368, 205, 421)(155, 371, 207, 423)(157, 373, 186, 402)(160, 376, 210, 426)(163, 379, 195, 411)(165, 381, 197, 413)(166, 382, 199, 415)(167, 383, 209, 425)(168, 384, 194, 410)(169, 385, 193, 409)(170, 386, 188, 404)(171, 387, 203, 419)(172, 388, 190, 406)(173, 389, 204, 420)(174, 390, 191, 407)(178, 394, 196, 412)(179, 395, 198, 414)(181, 397, 208, 424)(183, 399, 206, 422)(184, 400, 192, 408)(211, 427, 215, 431)(212, 428, 214, 430)(213, 429, 216, 432)(433, 649, 435, 651, 440, 656, 450, 666, 469, 685, 502, 718, 549, 765, 511, 727, 476, 692, 454, 670, 442, 658, 436, 652)(434, 650, 437, 653, 444, 660, 458, 674, 483, 699, 523, 739, 579, 795, 532, 748, 490, 706, 462, 678, 446, 662, 438, 654)(439, 655, 447, 663, 464, 680, 494, 710, 475, 691, 510, 726, 562, 778, 567, 783, 541, 757, 496, 712, 465, 681, 448, 664)(441, 657, 451, 667, 470, 686, 504, 720, 553, 769, 577, 793, 548, 764, 501, 717, 468, 684, 500, 716, 472, 688, 452, 668)(443, 659, 455, 671, 478, 694, 515, 731, 489, 705, 531, 747, 592, 808, 537, 753, 571, 787, 517, 733, 479, 695, 456, 672)(445, 661, 459, 675, 484, 700, 525, 741, 583, 799, 547, 763, 578, 794, 522, 738, 482, 698, 521, 737, 486, 702, 460, 676)(449, 665, 466, 682, 498, 714, 474, 690, 453, 669, 473, 689, 508, 724, 559, 775, 608, 824, 546, 762, 499, 715, 467, 683)(457, 673, 480, 696, 519, 735, 488, 704, 461, 677, 487, 703, 529, 745, 589, 805, 633, 849, 576, 792, 520, 736, 481, 697)(463, 679, 491, 707, 533, 749, 593, 809, 540, 756, 600, 816, 561, 777, 509, 725, 560, 776, 595, 811, 534, 750, 492, 708)(471, 687, 505, 721, 554, 770, 602, 818, 543, 759, 497, 713, 542, 758, 601, 817, 552, 768, 607, 823, 555, 771, 506, 722)(477, 693, 512, 728, 563, 779, 618, 834, 570, 786, 625, 841, 591, 807, 530, 746, 590, 806, 620, 836, 564, 780, 513, 729)(485, 701, 526, 742, 584, 800, 627, 843, 573, 789, 518, 734, 572, 788, 626, 842, 582, 798, 632, 848, 585, 801, 527, 743)(493, 709, 535, 751, 597, 813, 539, 755, 495, 711, 538, 754, 599, 815, 637, 853, 617, 833, 621, 837, 598, 814, 536, 752)(503, 719, 550, 766, 610, 826, 557, 773, 507, 723, 556, 772, 613, 829, 639, 855, 609, 825, 619, 835, 611, 827, 551, 767)(514, 730, 565, 781, 622, 838, 569, 785, 516, 732, 568, 784, 624, 840, 612, 828, 642, 858, 596, 812, 623, 839, 566, 782)(524, 740, 580, 796, 635, 851, 587, 803, 528, 744, 586, 802, 638, 854, 614, 830, 634, 850, 594, 810, 636, 852, 581, 797)(544, 760, 603, 819, 643, 859, 606, 822, 545, 761, 605, 821, 645, 861, 616, 832, 558, 774, 615, 831, 644, 860, 604, 820)(574, 790, 628, 844, 646, 862, 631, 847, 575, 791, 630, 846, 648, 864, 641, 857, 588, 804, 640, 856, 647, 863, 629, 845)
	L = (1, 434)(2, 433)(3, 439)(4, 441)(5, 443)(6, 445)(7, 435)(8, 449)(9, 436)(10, 453)(11, 437)(12, 457)(13, 438)(14, 461)(15, 463)(16, 456)(17, 440)(18, 468)(19, 459)(20, 471)(21, 442)(22, 475)(23, 477)(24, 448)(25, 444)(26, 482)(27, 451)(28, 485)(29, 446)(30, 489)(31, 447)(32, 493)(33, 495)(34, 497)(35, 492)(36, 450)(37, 490)(38, 503)(39, 452)(40, 507)(41, 505)(42, 509)(43, 454)(44, 483)(45, 455)(46, 514)(47, 516)(48, 518)(49, 513)(50, 458)(51, 476)(52, 524)(53, 460)(54, 528)(55, 526)(56, 530)(57, 462)(58, 469)(59, 527)(60, 467)(61, 464)(62, 537)(63, 465)(64, 540)(65, 466)(66, 544)(67, 545)(68, 547)(69, 543)(70, 541)(71, 470)(72, 552)(73, 473)(74, 512)(75, 472)(76, 558)(77, 474)(78, 560)(79, 553)(80, 506)(81, 481)(82, 478)(83, 567)(84, 479)(85, 570)(86, 480)(87, 574)(88, 575)(89, 577)(90, 573)(91, 571)(92, 484)(93, 582)(94, 487)(95, 491)(96, 486)(97, 588)(98, 488)(99, 590)(100, 583)(101, 586)(102, 594)(103, 596)(104, 585)(105, 494)(106, 568)(107, 572)(108, 496)(109, 502)(110, 569)(111, 501)(112, 498)(113, 499)(114, 607)(115, 500)(116, 609)(117, 608)(118, 591)(119, 581)(120, 504)(121, 511)(122, 612)(123, 566)(124, 563)(125, 614)(126, 508)(127, 593)(128, 510)(129, 580)(130, 617)(131, 556)(132, 619)(133, 621)(134, 555)(135, 515)(136, 538)(137, 542)(138, 517)(139, 523)(140, 539)(141, 522)(142, 519)(143, 520)(144, 632)(145, 521)(146, 634)(147, 633)(148, 561)(149, 551)(150, 525)(151, 532)(152, 637)(153, 536)(154, 533)(155, 639)(156, 529)(157, 618)(158, 531)(159, 550)(160, 642)(161, 559)(162, 534)(163, 627)(164, 535)(165, 629)(166, 631)(167, 641)(168, 626)(169, 625)(170, 620)(171, 635)(172, 622)(173, 636)(174, 623)(175, 546)(176, 549)(177, 548)(178, 628)(179, 630)(180, 554)(181, 640)(182, 557)(183, 638)(184, 624)(185, 562)(186, 589)(187, 564)(188, 602)(189, 565)(190, 604)(191, 606)(192, 616)(193, 601)(194, 600)(195, 595)(196, 610)(197, 597)(198, 611)(199, 598)(200, 576)(201, 579)(202, 578)(203, 603)(204, 605)(205, 584)(206, 615)(207, 587)(208, 613)(209, 599)(210, 592)(211, 647)(212, 646)(213, 648)(214, 644)(215, 643)(216, 645)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3101
Graph:: bipartite
	v = 126 e = 432 f = 252
	degree seq :: [ 4^108, 24^18 ]

E28.3099 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2^-3 * Y1 * Y2^-1)^2, Y2^-3 * R * Y2^4 * R * Y2^-1, (Y2^-3 * Y1 * Y2^-1 * Y1)^2, (Y2 * Y1)^6, Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^5, (Y3 * Y2^-1)^6, Y2^12, (Y2 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1)^2 ]
Map::
	R = (1, 217, 2, 218)(3, 219, 7, 223)(4, 220, 9, 225)(5, 221, 11, 227)(6, 222, 13, 229)(8, 224, 17, 233)(10, 226, 21, 237)(12, 228, 25, 241)(14, 230, 29, 245)(15, 231, 31, 247)(16, 232, 33, 249)(18, 234, 37, 253)(19, 235, 39, 255)(20, 236, 41, 257)(22, 238, 45, 261)(23, 239, 47, 263)(24, 240, 49, 265)(26, 242, 53, 269)(27, 243, 55, 271)(28, 244, 57, 273)(30, 246, 61, 277)(32, 248, 65, 281)(34, 250, 69, 285)(35, 251, 71, 287)(36, 252, 73, 289)(38, 254, 62, 278)(40, 256, 80, 296)(42, 258, 84, 300)(43, 259, 85, 301)(44, 260, 87, 303)(46, 262, 54, 270)(48, 264, 92, 308)(50, 266, 96, 312)(51, 267, 98, 314)(52, 268, 100, 316)(56, 272, 107, 323)(58, 274, 111, 327)(59, 275, 112, 328)(60, 276, 114, 330)(63, 279, 110, 326)(64, 280, 118, 334)(66, 282, 93, 309)(67, 283, 104, 320)(68, 284, 122, 338)(70, 286, 125, 341)(72, 288, 128, 344)(74, 290, 131, 347)(75, 291, 102, 318)(76, 292, 133, 349)(77, 293, 94, 310)(78, 294, 135, 351)(79, 295, 116, 332)(81, 297, 127, 343)(82, 298, 132, 348)(83, 299, 90, 306)(86, 302, 142, 358)(88, 304, 129, 345)(89, 305, 106, 322)(91, 307, 144, 360)(95, 311, 148, 364)(97, 313, 151, 367)(99, 315, 154, 370)(101, 317, 157, 373)(103, 319, 159, 375)(105, 321, 161, 377)(108, 324, 153, 369)(109, 325, 158, 374)(113, 329, 168, 384)(115, 331, 155, 371)(117, 333, 169, 385)(119, 335, 162, 378)(120, 336, 149, 365)(121, 337, 167, 383)(123, 339, 146, 362)(124, 340, 164, 380)(126, 342, 175, 391)(130, 346, 165, 381)(134, 350, 170, 386)(136, 352, 145, 361)(137, 353, 166, 382)(138, 354, 150, 366)(139, 355, 156, 372)(140, 356, 163, 379)(141, 357, 147, 363)(143, 359, 190, 406)(152, 368, 196, 412)(160, 376, 191, 407)(171, 387, 204, 420)(172, 388, 201, 417)(173, 389, 203, 419)(174, 390, 195, 411)(176, 392, 210, 426)(177, 393, 199, 415)(178, 394, 198, 414)(179, 395, 206, 422)(180, 396, 193, 409)(181, 397, 207, 423)(182, 398, 194, 410)(183, 399, 192, 408)(184, 400, 205, 421)(185, 401, 200, 416)(186, 402, 202, 418)(187, 403, 209, 425)(188, 404, 208, 424)(189, 405, 197, 413)(211, 427, 215, 431)(212, 428, 214, 430)(213, 429, 216, 432)(433, 649, 435, 651, 440, 656, 450, 666, 470, 686, 509, 725, 566, 782, 521, 737, 478, 694, 454, 670, 442, 658, 436, 652)(434, 650, 437, 653, 444, 660, 458, 674, 486, 702, 536, 752, 592, 808, 548, 764, 494, 710, 462, 678, 446, 662, 438, 654)(439, 655, 447, 663, 464, 680, 498, 714, 477, 693, 520, 736, 527, 743, 481, 697, 526, 742, 502, 718, 466, 682, 448, 664)(441, 657, 451, 667, 472, 688, 513, 729, 538, 754, 487, 703, 537, 753, 508, 724, 469, 685, 507, 723, 474, 690, 452, 668)(443, 659, 455, 671, 480, 696, 525, 741, 493, 709, 547, 763, 500, 716, 465, 681, 499, 715, 529, 745, 482, 698, 456, 672)(445, 661, 459, 675, 488, 704, 540, 756, 511, 727, 471, 687, 510, 726, 535, 751, 485, 701, 534, 750, 490, 706, 460, 676)(449, 665, 467, 683, 504, 720, 476, 692, 453, 669, 475, 691, 518, 734, 550, 766, 602, 818, 564, 780, 506, 722, 468, 684)(457, 673, 483, 699, 531, 747, 492, 708, 461, 677, 491, 707, 545, 761, 576, 792, 623, 839, 590, 806, 533, 749, 484, 700)(463, 679, 495, 711, 549, 765, 519, 735, 557, 773, 609, 825, 562, 778, 505, 721, 561, 777, 603, 819, 551, 767, 496, 712)(473, 689, 514, 730, 570, 786, 615, 831, 565, 781, 517, 733, 573, 789, 610, 826, 559, 775, 503, 719, 558, 774, 515, 731)(479, 695, 522, 738, 575, 791, 546, 762, 583, 799, 630, 846, 588, 804, 532, 748, 587, 803, 624, 840, 577, 793, 523, 739)(489, 705, 541, 757, 596, 812, 636, 852, 591, 807, 544, 760, 599, 815, 631, 847, 585, 801, 530, 746, 584, 800, 542, 758)(497, 713, 552, 768, 604, 820, 556, 772, 501, 717, 555, 771, 608, 824, 628, 844, 580, 796, 627, 843, 605, 821, 553, 769)(512, 728, 568, 784, 617, 833, 572, 788, 516, 732, 571, 787, 619, 835, 637, 853, 593, 809, 622, 838, 618, 834, 569, 785)(524, 740, 578, 794, 625, 841, 582, 798, 528, 744, 581, 797, 629, 845, 607, 823, 554, 770, 606, 822, 626, 842, 579, 795)(539, 755, 594, 810, 638, 854, 598, 814, 543, 759, 597, 813, 640, 856, 616, 832, 567, 783, 601, 817, 639, 855, 595, 811)(560, 776, 611, 827, 643, 859, 614, 830, 563, 779, 613, 829, 645, 861, 621, 837, 574, 790, 620, 836, 644, 860, 612, 828)(586, 802, 632, 848, 646, 862, 635, 851, 589, 805, 634, 850, 648, 864, 642, 858, 600, 816, 641, 857, 647, 863, 633, 849)
	L = (1, 434)(2, 433)(3, 439)(4, 441)(5, 443)(6, 445)(7, 435)(8, 449)(9, 436)(10, 453)(11, 437)(12, 457)(13, 438)(14, 461)(15, 463)(16, 465)(17, 440)(18, 469)(19, 471)(20, 473)(21, 442)(22, 477)(23, 479)(24, 481)(25, 444)(26, 485)(27, 487)(28, 489)(29, 446)(30, 493)(31, 447)(32, 497)(33, 448)(34, 501)(35, 503)(36, 505)(37, 450)(38, 494)(39, 451)(40, 512)(41, 452)(42, 516)(43, 517)(44, 519)(45, 454)(46, 486)(47, 455)(48, 524)(49, 456)(50, 528)(51, 530)(52, 532)(53, 458)(54, 478)(55, 459)(56, 539)(57, 460)(58, 543)(59, 544)(60, 546)(61, 462)(62, 470)(63, 542)(64, 550)(65, 464)(66, 525)(67, 536)(68, 554)(69, 466)(70, 557)(71, 467)(72, 560)(73, 468)(74, 563)(75, 534)(76, 565)(77, 526)(78, 567)(79, 548)(80, 472)(81, 559)(82, 564)(83, 522)(84, 474)(85, 475)(86, 574)(87, 476)(88, 561)(89, 538)(90, 515)(91, 576)(92, 480)(93, 498)(94, 509)(95, 580)(96, 482)(97, 583)(98, 483)(99, 586)(100, 484)(101, 589)(102, 507)(103, 591)(104, 499)(105, 593)(106, 521)(107, 488)(108, 585)(109, 590)(110, 495)(111, 490)(112, 491)(113, 600)(114, 492)(115, 587)(116, 511)(117, 601)(118, 496)(119, 594)(120, 581)(121, 599)(122, 500)(123, 578)(124, 596)(125, 502)(126, 607)(127, 513)(128, 504)(129, 520)(130, 597)(131, 506)(132, 514)(133, 508)(134, 602)(135, 510)(136, 577)(137, 598)(138, 582)(139, 588)(140, 595)(141, 579)(142, 518)(143, 622)(144, 523)(145, 568)(146, 555)(147, 573)(148, 527)(149, 552)(150, 570)(151, 529)(152, 628)(153, 540)(154, 531)(155, 547)(156, 571)(157, 533)(158, 541)(159, 535)(160, 623)(161, 537)(162, 551)(163, 572)(164, 556)(165, 562)(166, 569)(167, 553)(168, 545)(169, 549)(170, 566)(171, 636)(172, 633)(173, 635)(174, 627)(175, 558)(176, 642)(177, 631)(178, 630)(179, 638)(180, 625)(181, 639)(182, 626)(183, 624)(184, 637)(185, 632)(186, 634)(187, 641)(188, 640)(189, 629)(190, 575)(191, 592)(192, 615)(193, 612)(194, 614)(195, 606)(196, 584)(197, 621)(198, 610)(199, 609)(200, 617)(201, 604)(202, 618)(203, 605)(204, 603)(205, 616)(206, 611)(207, 613)(208, 620)(209, 619)(210, 608)(211, 647)(212, 646)(213, 648)(214, 644)(215, 643)(216, 645)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3100
Graph:: bipartite
	v = 126 e = 432 f = 252
	degree seq :: [ 4^108, 24^18 ]

E28.3100 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y1^6, Y1^6, (R * Y2 * Y3^-1)^2, (Y3^3 * Y1^-1)^2, (Y3 * Y1^-2 * Y3)^2, Y3 * Y1^-1 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-2 * Y3^-2 * Y1^-1, Y1^-1 * Y3^-1 * Y1 * Y3^5 * Y1^-1 * Y3^-2 * Y1^-1, (Y3 * Y1^-1)^6, (Y3 * Y2^-1)^12 ]
Map:: polytopal
	R = (1, 217, 2, 218, 6, 222, 16, 232, 13, 229, 4, 220)(3, 219, 9, 225, 23, 239, 55, 271, 29, 245, 11, 227)(5, 221, 14, 230, 34, 250, 49, 265, 20, 236, 7, 223)(8, 224, 21, 237, 50, 266, 91, 307, 42, 258, 17, 233)(10, 226, 25, 241, 60, 276, 93, 309, 44, 260, 27, 243)(12, 228, 30, 246, 69, 285, 131, 347, 74, 290, 32, 248)(15, 231, 37, 253, 75, 291, 138, 354, 79, 295, 35, 251)(18, 234, 43, 259, 92, 308, 151, 367, 84, 300, 39, 255)(19, 235, 45, 261, 96, 312, 153, 369, 86, 302, 47, 263)(22, 238, 53, 269, 31, 247, 71, 287, 107, 323, 51, 267)(24, 240, 58, 274, 83, 299, 148, 364, 114, 330, 56, 272)(26, 242, 62, 278, 124, 340, 183, 399, 109, 325, 54, 270)(28, 244, 65, 281, 127, 343, 164, 380, 94, 310, 67, 283)(33, 249, 40, 256, 85, 301, 152, 368, 140, 356, 76, 292)(36, 252, 80, 296, 139, 355, 190, 406, 123, 339, 77, 293)(38, 254, 72, 288, 102, 318, 176, 392, 146, 362, 81, 297)(41, 257, 87, 303, 156, 372, 132, 348, 70, 286, 89, 305)(46, 262, 98, 314, 171, 387, 126, 342, 64, 280, 95, 311)(48, 264, 101, 317, 174, 390, 205, 421, 154, 370, 103, 319)(52, 268, 108, 324, 73, 289, 137, 353, 170, 386, 105, 321)(57, 273, 115, 331, 150, 366, 203, 419, 186, 402, 111, 327)(59, 275, 118, 334, 66, 282, 129, 345, 177, 393, 116, 332)(61, 277, 122, 338, 185, 401, 206, 422, 168, 384, 120, 336)(63, 279, 110, 326, 159, 375, 207, 423, 188, 404, 119, 335)(68, 284, 112, 328, 187, 403, 204, 420, 163, 379, 104, 320)(78, 294, 142, 358, 184, 400, 201, 417, 175, 391, 143, 359)(82, 298, 99, 315, 166, 382, 202, 418, 189, 405, 136, 352)(88, 304, 158, 374, 145, 361, 173, 389, 100, 316, 155, 371)(90, 306, 161, 377, 208, 424, 197, 413, 133, 349, 162, 378)(97, 313, 169, 385, 141, 357, 192, 408, 125, 341, 167, 383)(106, 322, 179, 395, 144, 360, 199, 415, 209, 425, 180, 396)(113, 329, 172, 388, 147, 363, 157, 373, 128, 344, 178, 394)(117, 333, 182, 398, 130, 346, 160, 376, 134, 350, 149, 365)(121, 337, 181, 397, 135, 351, 198, 414, 210, 426, 165, 381)(191, 407, 216, 432, 194, 410, 212, 428, 195, 411, 215, 431)(193, 409, 211, 427, 196, 412, 213, 429, 200, 416, 214, 430)(433, 649)(434, 650)(435, 651)(436, 652)(437, 653)(438, 654)(439, 655)(440, 656)(441, 657)(442, 658)(443, 659)(444, 660)(445, 661)(446, 662)(447, 663)(448, 664)(449, 665)(450, 666)(451, 667)(452, 668)(453, 669)(454, 670)(455, 671)(456, 672)(457, 673)(458, 674)(459, 675)(460, 676)(461, 677)(462, 678)(463, 679)(464, 680)(465, 681)(466, 682)(467, 683)(468, 684)(469, 685)(470, 686)(471, 687)(472, 688)(473, 689)(474, 690)(475, 691)(476, 692)(477, 693)(478, 694)(479, 695)(480, 696)(481, 697)(482, 698)(483, 699)(484, 700)(485, 701)(486, 702)(487, 703)(488, 704)(489, 705)(490, 706)(491, 707)(492, 708)(493, 709)(494, 710)(495, 711)(496, 712)(497, 713)(498, 714)(499, 715)(500, 716)(501, 717)(502, 718)(503, 719)(504, 720)(505, 721)(506, 722)(507, 723)(508, 724)(509, 725)(510, 726)(511, 727)(512, 728)(513, 729)(514, 730)(515, 731)(516, 732)(517, 733)(518, 734)(519, 735)(520, 736)(521, 737)(522, 738)(523, 739)(524, 740)(525, 741)(526, 742)(527, 743)(528, 744)(529, 745)(530, 746)(531, 747)(532, 748)(533, 749)(534, 750)(535, 751)(536, 752)(537, 753)(538, 754)(539, 755)(540, 756)(541, 757)(542, 758)(543, 759)(544, 760)(545, 761)(546, 762)(547, 763)(548, 764)(549, 765)(550, 766)(551, 767)(552, 768)(553, 769)(554, 770)(555, 771)(556, 772)(557, 773)(558, 774)(559, 775)(560, 776)(561, 777)(562, 778)(563, 779)(564, 780)(565, 781)(566, 782)(567, 783)(568, 784)(569, 785)(570, 786)(571, 787)(572, 788)(573, 789)(574, 790)(575, 791)(576, 792)(577, 793)(578, 794)(579, 795)(580, 796)(581, 797)(582, 798)(583, 799)(584, 800)(585, 801)(586, 802)(587, 803)(588, 804)(589, 805)(590, 806)(591, 807)(592, 808)(593, 809)(594, 810)(595, 811)(596, 812)(597, 813)(598, 814)(599, 815)(600, 816)(601, 817)(602, 818)(603, 819)(604, 820)(605, 821)(606, 822)(607, 823)(608, 824)(609, 825)(610, 826)(611, 827)(612, 828)(613, 829)(614, 830)(615, 831)(616, 832)(617, 833)(618, 834)(619, 835)(620, 836)(621, 837)(622, 838)(623, 839)(624, 840)(625, 841)(626, 842)(627, 843)(628, 844)(629, 845)(630, 846)(631, 847)(632, 848)(633, 849)(634, 850)(635, 851)(636, 852)(637, 853)(638, 854)(639, 855)(640, 856)(641, 857)(642, 858)(643, 859)(644, 860)(645, 861)(646, 862)(647, 863)(648, 864)
	L = (1, 435)(2, 439)(3, 442)(4, 444)(5, 433)(6, 449)(7, 451)(8, 434)(9, 436)(10, 458)(11, 460)(12, 463)(13, 465)(14, 467)(15, 437)(16, 471)(17, 473)(18, 438)(19, 478)(20, 480)(21, 483)(22, 440)(23, 488)(24, 441)(25, 443)(26, 495)(27, 496)(28, 498)(29, 500)(30, 445)(31, 504)(32, 505)(33, 507)(34, 509)(35, 510)(36, 446)(37, 513)(38, 447)(39, 515)(40, 448)(41, 520)(42, 522)(43, 525)(44, 450)(45, 452)(46, 531)(47, 532)(48, 534)(49, 536)(50, 537)(51, 538)(52, 453)(53, 541)(54, 454)(55, 543)(56, 545)(57, 455)(58, 548)(59, 456)(60, 552)(61, 457)(62, 459)(63, 557)(64, 468)(65, 461)(66, 469)(67, 562)(68, 466)(69, 564)(70, 462)(71, 464)(72, 568)(73, 549)(74, 544)(75, 550)(76, 571)(77, 573)(78, 559)(79, 576)(80, 558)(81, 565)(82, 470)(83, 581)(84, 582)(85, 585)(86, 472)(87, 474)(88, 591)(89, 592)(90, 494)(91, 595)(92, 596)(93, 597)(94, 475)(95, 476)(96, 599)(97, 477)(98, 479)(99, 604)(100, 484)(101, 481)(102, 485)(103, 609)(104, 482)(105, 610)(106, 606)(107, 613)(108, 605)(109, 489)(110, 486)(111, 617)(112, 487)(113, 602)(114, 616)(115, 615)(116, 586)(117, 490)(118, 620)(119, 491)(120, 621)(121, 492)(122, 622)(123, 493)(124, 594)(125, 588)(126, 626)(127, 589)(128, 497)(129, 499)(130, 623)(131, 629)(132, 624)(133, 501)(134, 502)(135, 503)(136, 600)(137, 506)(138, 508)(139, 590)(140, 619)(141, 625)(142, 511)(143, 632)(144, 598)(145, 512)(146, 627)(147, 514)(148, 516)(149, 634)(150, 530)(151, 636)(152, 637)(153, 638)(154, 517)(155, 518)(156, 579)(157, 519)(158, 521)(159, 574)(160, 526)(161, 523)(162, 578)(163, 524)(164, 575)(165, 640)(166, 527)(167, 551)(168, 528)(169, 569)(170, 529)(171, 547)(172, 546)(173, 645)(174, 633)(175, 533)(176, 535)(177, 643)(178, 644)(179, 539)(180, 648)(181, 639)(182, 540)(183, 646)(184, 542)(185, 647)(186, 567)(187, 563)(188, 553)(189, 566)(190, 572)(191, 554)(192, 555)(193, 556)(194, 641)(195, 560)(196, 561)(197, 642)(198, 635)(199, 570)(200, 577)(201, 580)(202, 611)(203, 583)(204, 584)(205, 612)(206, 618)(207, 587)(208, 631)(209, 593)(210, 628)(211, 601)(212, 603)(213, 630)(214, 607)(215, 608)(216, 614)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.3099
Graph:: simple bipartite
	v = 252 e = 432 f = 126
	degree seq :: [ 2^216, 12^36 ]

E28.3101 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = (((C3 x C3) : C3) : C4) : C2 (small group id <216, 87>)
Aut   = $<432, 530>$ (small group id <432, 530>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3 * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, Y1^6, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^-2, (Y3 * Y1^-1 * Y3^2)^2, (Y1^-1 * Y3 * Y1^-2 * Y3)^2, Y3^3 * Y1 * Y3^-3 * Y1^-1 * Y3^2 * Y1^-2, (Y3 * Y2^-1)^12 ]
Map:: polytopal
	R = (1, 217, 2, 218, 6, 222, 16, 232, 13, 229, 4, 220)(3, 219, 9, 225, 23, 239, 55, 271, 29, 245, 11, 227)(5, 221, 14, 230, 34, 250, 49, 265, 20, 236, 7, 223)(8, 224, 21, 237, 50, 266, 89, 305, 42, 258, 17, 233)(10, 226, 25, 241, 59, 275, 117, 333, 64, 280, 27, 243)(12, 228, 30, 246, 60, 276, 119, 335, 73, 289, 32, 248)(15, 231, 37, 253, 79, 295, 87, 303, 41, 257, 35, 251)(18, 234, 43, 259, 90, 306, 148, 364, 83, 299, 39, 255)(19, 235, 45, 261, 24, 240, 57, 273, 98, 314, 47, 263)(22, 238, 53, 269, 106, 322, 146, 362, 82, 298, 51, 267)(26, 242, 61, 277, 121, 337, 175, 391, 107, 323, 54, 270)(28, 244, 65, 281, 122, 338, 160, 376, 92, 308, 67, 283)(31, 247, 69, 285, 85, 301, 151, 367, 133, 349, 71, 287)(33, 249, 40, 256, 84, 300, 149, 365, 138, 354, 75, 291)(36, 252, 78, 294, 137, 353, 194, 410, 140, 356, 76, 292)(38, 254, 70, 286, 131, 347, 193, 409, 139, 355, 80, 296)(44, 260, 93, 309, 162, 378, 136, 352, 74, 290, 91, 307)(46, 262, 95, 311, 165, 381, 207, 423, 163, 379, 94, 310)(48, 264, 99, 315, 166, 382, 201, 417, 150, 366, 101, 317)(52, 268, 105, 321, 72, 288, 134, 350, 176, 392, 103, 319)(56, 272, 111, 327, 147, 363, 198, 414, 182, 398, 109, 325)(58, 274, 115, 331, 184, 400, 210, 426, 181, 397, 113, 329)(62, 278, 108, 324, 154, 370, 204, 420, 185, 401, 116, 332)(63, 279, 124, 340, 180, 396, 199, 415, 174, 390, 125, 341)(66, 282, 127, 343, 173, 389, 197, 413, 179, 395, 128, 344)(68, 284, 110, 326, 183, 399, 202, 418, 159, 375, 104, 320)(77, 293, 135, 351, 190, 406, 200, 416, 161, 377, 102, 318)(81, 297, 96, 312, 164, 380, 196, 412, 188, 404, 132, 348)(86, 302, 153, 369, 205, 421, 213, 429, 203, 419, 152, 368)(88, 304, 156, 372, 206, 422, 189, 405, 120, 336, 158, 374)(97, 313, 168, 384, 126, 342, 187, 403, 142, 358, 169, 385)(100, 316, 171, 387, 141, 357, 191, 407, 123, 339, 172, 388)(112, 328, 167, 383, 144, 360, 157, 373, 130, 346, 177, 393)(114, 330, 178, 394, 129, 345, 155, 371, 143, 359, 170, 386)(118, 334, 145, 361, 195, 411, 212, 428, 211, 427, 186, 402)(192, 408, 209, 425, 215, 431, 216, 432, 214, 430, 208, 424)(433, 649)(434, 650)(435, 651)(436, 652)(437, 653)(438, 654)(439, 655)(440, 656)(441, 657)(442, 658)(443, 659)(444, 660)(445, 661)(446, 662)(447, 663)(448, 664)(449, 665)(450, 666)(451, 667)(452, 668)(453, 669)(454, 670)(455, 671)(456, 672)(457, 673)(458, 674)(459, 675)(460, 676)(461, 677)(462, 678)(463, 679)(464, 680)(465, 681)(466, 682)(467, 683)(468, 684)(469, 685)(470, 686)(471, 687)(472, 688)(473, 689)(474, 690)(475, 691)(476, 692)(477, 693)(478, 694)(479, 695)(480, 696)(481, 697)(482, 698)(483, 699)(484, 700)(485, 701)(486, 702)(487, 703)(488, 704)(489, 705)(490, 706)(491, 707)(492, 708)(493, 709)(494, 710)(495, 711)(496, 712)(497, 713)(498, 714)(499, 715)(500, 716)(501, 717)(502, 718)(503, 719)(504, 720)(505, 721)(506, 722)(507, 723)(508, 724)(509, 725)(510, 726)(511, 727)(512, 728)(513, 729)(514, 730)(515, 731)(516, 732)(517, 733)(518, 734)(519, 735)(520, 736)(521, 737)(522, 738)(523, 739)(524, 740)(525, 741)(526, 742)(527, 743)(528, 744)(529, 745)(530, 746)(531, 747)(532, 748)(533, 749)(534, 750)(535, 751)(536, 752)(537, 753)(538, 754)(539, 755)(540, 756)(541, 757)(542, 758)(543, 759)(544, 760)(545, 761)(546, 762)(547, 763)(548, 764)(549, 765)(550, 766)(551, 767)(552, 768)(553, 769)(554, 770)(555, 771)(556, 772)(557, 773)(558, 774)(559, 775)(560, 776)(561, 777)(562, 778)(563, 779)(564, 780)(565, 781)(566, 782)(567, 783)(568, 784)(569, 785)(570, 786)(571, 787)(572, 788)(573, 789)(574, 790)(575, 791)(576, 792)(577, 793)(578, 794)(579, 795)(580, 796)(581, 797)(582, 798)(583, 799)(584, 800)(585, 801)(586, 802)(587, 803)(588, 804)(589, 805)(590, 806)(591, 807)(592, 808)(593, 809)(594, 810)(595, 811)(596, 812)(597, 813)(598, 814)(599, 815)(600, 816)(601, 817)(602, 818)(603, 819)(604, 820)(605, 821)(606, 822)(607, 823)(608, 824)(609, 825)(610, 826)(611, 827)(612, 828)(613, 829)(614, 830)(615, 831)(616, 832)(617, 833)(618, 834)(619, 835)(620, 836)(621, 837)(622, 838)(623, 839)(624, 840)(625, 841)(626, 842)(627, 843)(628, 844)(629, 845)(630, 846)(631, 847)(632, 848)(633, 849)(634, 850)(635, 851)(636, 852)(637, 853)(638, 854)(639, 855)(640, 856)(641, 857)(642, 858)(643, 859)(644, 860)(645, 861)(646, 862)(647, 863)(648, 864)
	L = (1, 435)(2, 439)(3, 442)(4, 444)(5, 433)(6, 449)(7, 451)(8, 434)(9, 436)(10, 458)(11, 460)(12, 463)(13, 465)(14, 467)(15, 437)(16, 471)(17, 473)(18, 438)(19, 478)(20, 480)(21, 483)(22, 440)(23, 477)(24, 441)(25, 443)(26, 494)(27, 495)(28, 498)(29, 500)(30, 445)(31, 502)(32, 504)(33, 506)(34, 508)(35, 474)(36, 446)(37, 512)(38, 447)(39, 514)(40, 448)(41, 518)(42, 520)(43, 523)(44, 450)(45, 452)(46, 528)(47, 529)(48, 532)(49, 534)(50, 535)(51, 515)(52, 453)(53, 539)(54, 454)(55, 541)(56, 455)(57, 545)(58, 456)(59, 462)(60, 457)(61, 459)(62, 555)(63, 468)(64, 558)(65, 461)(66, 469)(67, 561)(68, 562)(69, 464)(70, 564)(71, 544)(72, 546)(73, 567)(74, 547)(75, 569)(76, 571)(77, 466)(78, 557)(79, 560)(80, 572)(81, 470)(82, 577)(83, 579)(84, 501)(85, 472)(86, 586)(87, 587)(88, 589)(89, 591)(90, 592)(91, 507)(92, 475)(93, 595)(94, 476)(95, 479)(96, 599)(97, 484)(98, 602)(99, 481)(100, 485)(101, 605)(102, 606)(103, 607)(104, 482)(105, 601)(106, 604)(107, 608)(108, 486)(109, 613)(110, 487)(111, 609)(112, 488)(113, 614)(114, 489)(115, 617)(116, 490)(117, 618)(118, 491)(119, 621)(120, 492)(121, 497)(122, 493)(123, 594)(124, 496)(125, 593)(126, 596)(127, 499)(128, 620)(129, 622)(130, 590)(131, 503)(132, 611)(133, 612)(134, 505)(135, 603)(136, 623)(137, 619)(138, 615)(139, 624)(140, 616)(141, 509)(142, 510)(143, 511)(144, 513)(145, 628)(146, 629)(147, 631)(148, 632)(149, 633)(150, 516)(151, 635)(152, 517)(153, 519)(154, 556)(155, 524)(156, 521)(157, 525)(158, 573)(159, 574)(160, 639)(161, 522)(162, 576)(163, 554)(164, 526)(165, 531)(166, 527)(167, 565)(168, 530)(169, 634)(170, 636)(171, 533)(172, 548)(173, 542)(174, 543)(175, 640)(176, 563)(177, 536)(178, 537)(179, 538)(180, 540)(181, 641)(182, 627)(183, 559)(184, 568)(185, 575)(186, 638)(187, 549)(188, 550)(189, 643)(190, 551)(191, 552)(192, 553)(193, 566)(194, 570)(195, 578)(196, 600)(197, 582)(198, 580)(199, 583)(200, 610)(201, 645)(202, 581)(203, 598)(204, 584)(205, 588)(206, 585)(207, 646)(208, 597)(209, 625)(210, 626)(211, 647)(212, 630)(213, 648)(214, 637)(215, 642)(216, 644)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.3098
Graph:: simple bipartite
	v = 252 e = 432 f = 126
	degree seq :: [ 2^216, 12^36 ]

E28.3102 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 12})
Quotient :: regular
Aut^+ = C3 x ((C6 x S3) : C2) (small group id <216, 122>)
Aut   = $<432, 602>$ (small group id <432, 602>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^-1, T1^12, (T1^-1 * T2)^6, (T2 * T1^-6)^2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 47, 85, 84, 46, 22, 10, 4)(3, 7, 15, 31, 63, 107, 138, 123, 74, 38, 18, 8)(6, 13, 27, 55, 99, 157, 137, 168, 106, 62, 30, 14)(9, 19, 39, 75, 124, 140, 86, 139, 130, 78, 42, 20)(12, 25, 51, 93, 151, 136, 83, 135, 156, 98, 54, 26)(16, 33, 52, 95, 142, 191, 184, 210, 178, 116, 68, 34)(17, 35, 53, 96, 143, 192, 169, 207, 180, 118, 71, 36)(21, 43, 79, 131, 144, 88, 48, 87, 141, 132, 80, 44)(24, 49, 89, 145, 134, 82, 45, 81, 133, 150, 92, 50)(28, 57, 90, 147, 188, 212, 206, 187, 127, 76, 40, 58)(29, 59, 91, 148, 189, 213, 203, 176, 128, 77, 41, 60)(32, 56, 94, 146, 190, 183, 122, 167, 202, 174, 111, 65)(37, 61, 97, 149, 193, 170, 108, 158, 197, 181, 119, 72)(64, 109, 152, 198, 182, 121, 73, 120, 155, 201, 173, 110)(66, 112, 171, 126, 186, 211, 215, 195, 179, 117, 69, 113)(67, 114, 172, 208, 214, 205, 164, 103, 161, 101, 70, 115)(100, 159, 194, 175, 129, 166, 105, 165, 196, 185, 125, 160)(102, 162, 204, 177, 209, 216, 200, 154, 199, 153, 104, 163)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 48)(25, 52)(26, 53)(27, 56)(30, 61)(31, 64)(33, 66)(34, 67)(35, 69)(36, 70)(38, 73)(39, 65)(42, 72)(43, 68)(44, 71)(46, 83)(47, 86)(49, 90)(50, 91)(51, 94)(54, 97)(55, 100)(57, 101)(58, 102)(59, 103)(60, 104)(62, 105)(63, 108)(74, 122)(75, 125)(76, 126)(77, 112)(78, 129)(79, 111)(80, 119)(81, 127)(82, 128)(84, 137)(85, 138)(87, 142)(88, 143)(89, 146)(92, 149)(93, 152)(95, 153)(96, 154)(98, 155)(99, 158)(106, 167)(107, 169)(109, 171)(110, 172)(113, 175)(114, 176)(115, 159)(116, 177)(117, 147)(118, 162)(120, 179)(121, 161)(123, 184)(124, 170)(130, 183)(131, 173)(132, 182)(133, 174)(134, 181)(135, 178)(136, 180)(139, 188)(140, 189)(141, 190)(144, 193)(145, 194)(148, 195)(150, 196)(151, 197)(156, 202)(157, 203)(160, 204)(163, 198)(164, 191)(165, 205)(166, 199)(168, 206)(185, 211)(186, 207)(187, 208)(192, 214)(200, 212)(201, 216)(209, 213)(210, 215)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E28.3103
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 12^18 ]

E28.3103 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 12})
Quotient :: regular
Aut^+ = C3 x ((C6 x S3) : C2) (small group id <216, 122>)
Aut   = $<432, 602>$ (small group id <432, 602>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, T1^-1 * T2 * T1^-1 * T2 * T1^2 * T2 * T1 * T2 * T1^-1, (T1^-1 * T2)^12 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 29, 18, 8)(6, 13, 25, 48, 28, 14)(9, 19, 36, 64, 39, 20)(12, 23, 44, 73, 47, 24)(16, 31, 45, 75, 59, 32)(17, 33, 46, 76, 62, 34)(21, 40, 67, 96, 68, 41)(22, 42, 69, 97, 72, 43)(26, 50, 70, 65, 37, 51)(27, 52, 71, 66, 38, 53)(30, 49, 74, 98, 85, 56)(35, 54, 77, 99, 92, 63)(55, 83, 100, 125, 113, 84)(57, 86, 111, 90, 60, 87)(58, 88, 112, 91, 61, 89)(78, 103, 124, 120, 93, 104)(79, 105, 129, 109, 81, 106)(80, 107, 130, 110, 82, 108)(94, 121, 146, 123, 95, 122)(101, 126, 150, 128, 102, 127)(114, 137, 151, 141, 116, 138)(115, 139, 152, 142, 117, 140)(118, 143, 153, 145, 119, 144)(131, 154, 147, 158, 133, 155)(132, 156, 148, 159, 134, 157)(135, 160, 149, 162, 136, 161)(163, 181, 169, 185, 165, 182)(164, 183, 170, 186, 166, 184)(167, 187, 171, 189, 168, 188)(172, 190, 178, 194, 174, 191)(173, 192, 179, 195, 175, 193)(176, 196, 180, 198, 177, 197)(199, 208, 205, 214, 201, 210)(200, 209, 206, 215, 202, 211)(203, 212, 207, 216, 204, 213)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 35)(19, 37)(20, 38)(23, 45)(24, 46)(25, 49)(28, 54)(29, 55)(31, 57)(32, 58)(33, 60)(34, 61)(36, 56)(39, 63)(40, 59)(41, 62)(42, 70)(43, 71)(44, 74)(47, 77)(48, 78)(50, 79)(51, 80)(52, 81)(53, 82)(64, 93)(65, 94)(66, 95)(67, 85)(68, 92)(69, 98)(72, 99)(73, 100)(75, 101)(76, 102)(83, 111)(84, 112)(86, 114)(87, 115)(88, 116)(89, 117)(90, 118)(91, 119)(96, 113)(97, 124)(103, 129)(104, 130)(105, 131)(106, 132)(107, 133)(108, 134)(109, 135)(110, 136)(120, 146)(121, 147)(122, 148)(123, 149)(125, 150)(126, 151)(127, 152)(128, 153)(137, 163)(138, 164)(139, 165)(140, 166)(141, 167)(142, 168)(143, 169)(144, 170)(145, 171)(154, 172)(155, 173)(156, 174)(157, 175)(158, 176)(159, 177)(160, 178)(161, 179)(162, 180)(181, 199)(182, 200)(183, 201)(184, 202)(185, 203)(186, 204)(187, 205)(188, 206)(189, 207)(190, 208)(191, 209)(192, 210)(193, 211)(194, 212)(195, 213)(196, 214)(197, 215)(198, 216)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.3102
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 36 e = 108 f = 18
	degree seq :: [ 6^36 ]

E28.3104 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 12})
Quotient :: edge
Aut^+ = C3 x ((C6 x S3) : C2) (small group id <216, 122>)
Aut   = $<432, 602>$ (small group id <432, 602>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, T2^2 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2 * T1, (T2^-1 * T1)^12 ]
Map:: polytopal
	R = (1, 3, 8, 18, 10, 4)(2, 5, 12, 25, 14, 6)(7, 15, 30, 57, 32, 16)(9, 19, 37, 65, 39, 20)(11, 22, 43, 71, 45, 23)(13, 26, 50, 79, 52, 27)(17, 33, 60, 90, 61, 34)(21, 40, 67, 96, 68, 41)(24, 46, 74, 104, 75, 47)(28, 53, 81, 110, 82, 54)(29, 55, 84, 64, 36, 56)(31, 58, 88, 66, 38, 59)(35, 62, 91, 119, 92, 63)(42, 69, 98, 78, 49, 70)(44, 72, 102, 80, 51, 73)(48, 76, 105, 132, 106, 77)(83, 111, 138, 117, 87, 112)(85, 113, 141, 118, 89, 114)(86, 115, 143, 122, 94, 116)(93, 120, 147, 123, 95, 121)(97, 124, 151, 130, 101, 125)(99, 126, 154, 131, 103, 127)(100, 128, 156, 135, 108, 129)(107, 133, 160, 136, 109, 134)(137, 163, 146, 167, 140, 164)(139, 165, 148, 168, 142, 166)(144, 169, 149, 171, 145, 170)(150, 172, 159, 176, 153, 173)(152, 174, 161, 177, 155, 175)(157, 178, 162, 180, 158, 179)(181, 199, 187, 203, 183, 200)(182, 201, 188, 204, 184, 202)(185, 205, 189, 207, 186, 206)(190, 208, 196, 212, 192, 209)(191, 210, 197, 213, 193, 211)(194, 214, 198, 216, 195, 215)(217, 218)(219, 223)(220, 225)(221, 227)(222, 229)(224, 233)(226, 237)(228, 240)(230, 244)(231, 245)(232, 247)(234, 251)(235, 252)(236, 254)(238, 258)(239, 260)(241, 264)(242, 265)(243, 267)(246, 262)(248, 269)(249, 259)(250, 266)(253, 263)(255, 270)(256, 261)(257, 268)(271, 299)(272, 301)(273, 302)(274, 303)(275, 305)(276, 290)(277, 297)(278, 300)(279, 304)(280, 309)(281, 310)(282, 311)(283, 291)(284, 298)(285, 313)(286, 315)(287, 316)(288, 317)(289, 319)(292, 314)(293, 318)(294, 323)(295, 324)(296, 325)(306, 321)(307, 320)(308, 326)(312, 322)(327, 353)(328, 355)(329, 356)(330, 358)(331, 354)(332, 357)(333, 360)(334, 361)(335, 359)(336, 362)(337, 364)(338, 363)(339, 365)(340, 366)(341, 368)(342, 369)(343, 371)(344, 367)(345, 370)(346, 373)(347, 374)(348, 372)(349, 375)(350, 377)(351, 376)(352, 378)(379, 397)(380, 398)(381, 399)(382, 400)(383, 401)(384, 402)(385, 403)(386, 404)(387, 405)(388, 406)(389, 407)(390, 408)(391, 409)(392, 410)(393, 411)(394, 412)(395, 413)(396, 414)(415, 424)(416, 426)(417, 425)(418, 427)(419, 430)(420, 431)(421, 428)(422, 429)(423, 432)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 24, 24 ), ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E28.3108
Transitivity :: ET+
Graph:: simple bipartite
	v = 144 e = 216 f = 18
	degree seq :: [ 2^108, 6^36 ]

E28.3105 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 12})
Quotient :: edge
Aut^+ = C3 x ((C6 x S3) : C2) (small group id <216, 122>)
Aut   = $<432, 602>$ (small group id <432, 602>)
|r| :: 2
Presentation :: [ F^2, (T1 * T2)^2, (F * T2)^2, (F * T1)^2, T1^6, T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1, T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^3 * T2^-1 * T1^2, T2^12, (T2^5 * T1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 26, 61, 107, 162, 126, 76, 38, 15, 5)(2, 7, 19, 46, 91, 144, 184, 154, 98, 54, 22, 8)(4, 12, 31, 70, 118, 166, 192, 157, 103, 58, 24, 9)(6, 17, 41, 82, 134, 176, 204, 179, 140, 88, 44, 18)(11, 28, 65, 114, 139, 125, 171, 193, 158, 104, 59, 25)(13, 33, 64, 113, 163, 191, 213, 197, 164, 116, 69, 30)(14, 35, 73, 122, 168, 196, 161, 108, 149, 94, 50, 36)(16, 39, 77, 127, 172, 200, 214, 201, 173, 132, 80, 40)(20, 48, 29, 67, 110, 153, 188, 207, 180, 141, 89, 45)(21, 51, 95, 150, 185, 210, 183, 145, 119, 137, 85, 52)(23, 56, 101, 155, 189, 211, 199, 167, 121, 72, 34, 57)(27, 63, 111, 129, 120, 75, 124, 170, 194, 159, 105, 60)(32, 66, 112, 148, 97, 152, 187, 208, 181, 142, 90, 47)(37, 74, 123, 169, 195, 160, 106, 62, 109, 130, 86, 43)(42, 83, 49, 93, 147, 178, 206, 215, 202, 174, 133, 81)(53, 96, 151, 186, 209, 182, 143, 92, 146, 115, 131, 79)(55, 99, 68, 87, 138, 177, 205, 216, 203, 175, 135, 100)(71, 78, 128, 84, 136, 102, 156, 190, 212, 198, 165, 117)(217, 218, 222, 232, 229, 220)(219, 225, 239, 271, 245, 227)(221, 230, 250, 265, 236, 223)(224, 237, 266, 300, 258, 233)(226, 241, 257, 297, 280, 243)(228, 246, 284, 331, 281, 248)(231, 253, 260, 303, 285, 251)(234, 259, 301, 345, 294, 255)(235, 261, 293, 287, 247, 263)(238, 269, 296, 272, 240, 267)(242, 276, 317, 348, 326, 278)(244, 264, 299, 344, 327, 282)(249, 256, 295, 346, 328, 279)(252, 268, 302, 347, 315, 273)(254, 291, 337, 343, 305, 290)(262, 306, 289, 332, 363, 308)(270, 313, 365, 329, 349, 312)(274, 318, 351, 298, 275, 311)(277, 322, 350, 391, 379, 324)(283, 316, 352, 310, 364, 325)(286, 333, 354, 304, 355, 335)(288, 336, 353, 330, 362, 309)(292, 341, 356, 394, 380, 340)(307, 359, 388, 383, 334, 361)(314, 369, 389, 372, 319, 368)(320, 367, 390, 371, 321, 366)(323, 377, 405, 418, 404, 370)(338, 358, 339, 357, 393, 381)(342, 382, 415, 421, 396, 387)(360, 399, 384, 414, 422, 395)(373, 407, 419, 402, 374, 403)(375, 406, 417, 392, 376, 401)(378, 400, 420, 430, 429, 408)(385, 397, 386, 413, 416, 398)(409, 423, 431, 428, 410, 424)(411, 425, 432, 427, 412, 426)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4^6 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E28.3109
Transitivity :: ET+
Graph:: simple bipartite
	v = 54 e = 216 f = 108
	degree seq :: [ 6^36, 12^18 ]

E28.3106 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 12})
Quotient :: edge
Aut^+ = C3 x ((C6 x S3) : C2) (small group id <216, 122>)
Aut   = $<432, 602>$ (small group id <432, 602>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^-1, (T2 * T1^-1)^6, T1^12, (T2 * T1^-6)^2 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 48)(25, 52)(26, 53)(27, 56)(30, 61)(31, 64)(33, 66)(34, 67)(35, 69)(36, 70)(38, 73)(39, 65)(42, 72)(43, 68)(44, 71)(46, 83)(47, 86)(49, 90)(50, 91)(51, 94)(54, 97)(55, 100)(57, 101)(58, 102)(59, 103)(60, 104)(62, 105)(63, 108)(74, 122)(75, 125)(76, 126)(77, 112)(78, 129)(79, 111)(80, 119)(81, 127)(82, 128)(84, 137)(85, 138)(87, 142)(88, 143)(89, 146)(92, 149)(93, 152)(95, 153)(96, 154)(98, 155)(99, 158)(106, 167)(107, 169)(109, 171)(110, 172)(113, 175)(114, 176)(115, 159)(116, 177)(117, 147)(118, 162)(120, 179)(121, 161)(123, 184)(124, 170)(130, 183)(131, 173)(132, 182)(133, 174)(134, 181)(135, 178)(136, 180)(139, 188)(140, 189)(141, 190)(144, 193)(145, 194)(148, 195)(150, 196)(151, 197)(156, 202)(157, 203)(160, 204)(163, 198)(164, 191)(165, 205)(166, 199)(168, 206)(185, 211)(186, 207)(187, 208)(192, 214)(200, 212)(201, 216)(209, 213)(210, 215)(217, 218, 221, 227, 239, 263, 301, 300, 262, 238, 226, 220)(219, 223, 231, 247, 279, 323, 354, 339, 290, 254, 234, 224)(222, 229, 243, 271, 315, 373, 353, 384, 322, 278, 246, 230)(225, 235, 255, 291, 340, 356, 302, 355, 346, 294, 258, 236)(228, 241, 267, 309, 367, 352, 299, 351, 372, 314, 270, 242)(232, 249, 268, 311, 358, 407, 400, 426, 394, 332, 284, 250)(233, 251, 269, 312, 359, 408, 385, 423, 396, 334, 287, 252)(237, 259, 295, 347, 360, 304, 264, 303, 357, 348, 296, 260)(240, 265, 305, 361, 350, 298, 261, 297, 349, 366, 308, 266)(244, 273, 306, 363, 404, 428, 422, 403, 343, 292, 256, 274)(245, 275, 307, 364, 405, 429, 419, 392, 344, 293, 257, 276)(248, 272, 310, 362, 406, 399, 338, 383, 418, 390, 327, 281)(253, 277, 313, 365, 409, 386, 324, 374, 413, 397, 335, 288)(280, 325, 368, 414, 398, 337, 289, 336, 371, 417, 389, 326)(282, 328, 387, 342, 402, 427, 431, 411, 395, 333, 285, 329)(283, 330, 388, 424, 430, 421, 380, 319, 377, 317, 286, 331)(316, 375, 410, 391, 345, 382, 321, 381, 412, 401, 341, 376)(318, 378, 420, 393, 425, 432, 416, 370, 415, 369, 320, 379)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 12, 12 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E28.3107
Transitivity :: ET+
Graph:: simple bipartite
	v = 126 e = 216 f = 36
	degree seq :: [ 2^108, 12^18 ]

E28.3107 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 12})
Quotient :: loop
Aut^+ = C3 x ((C6 x S3) : C2) (small group id <216, 122>)
Aut   = $<432, 602>$ (small group id <432, 602>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, T2^2 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2 * T1, (T2^-1 * T1)^12 ]
Map::
	R = (1, 217, 3, 219, 8, 224, 18, 234, 10, 226, 4, 220)(2, 218, 5, 221, 12, 228, 25, 241, 14, 230, 6, 222)(7, 223, 15, 231, 30, 246, 57, 273, 32, 248, 16, 232)(9, 225, 19, 235, 37, 253, 65, 281, 39, 255, 20, 236)(11, 227, 22, 238, 43, 259, 71, 287, 45, 261, 23, 239)(13, 229, 26, 242, 50, 266, 79, 295, 52, 268, 27, 243)(17, 233, 33, 249, 60, 276, 90, 306, 61, 277, 34, 250)(21, 237, 40, 256, 67, 283, 96, 312, 68, 284, 41, 257)(24, 240, 46, 262, 74, 290, 104, 320, 75, 291, 47, 263)(28, 244, 53, 269, 81, 297, 110, 326, 82, 298, 54, 270)(29, 245, 55, 271, 84, 300, 64, 280, 36, 252, 56, 272)(31, 247, 58, 274, 88, 304, 66, 282, 38, 254, 59, 275)(35, 251, 62, 278, 91, 307, 119, 335, 92, 308, 63, 279)(42, 258, 69, 285, 98, 314, 78, 294, 49, 265, 70, 286)(44, 260, 72, 288, 102, 318, 80, 296, 51, 267, 73, 289)(48, 264, 76, 292, 105, 321, 132, 348, 106, 322, 77, 293)(83, 299, 111, 327, 138, 354, 117, 333, 87, 303, 112, 328)(85, 301, 113, 329, 141, 357, 118, 334, 89, 305, 114, 330)(86, 302, 115, 331, 143, 359, 122, 338, 94, 310, 116, 332)(93, 309, 120, 336, 147, 363, 123, 339, 95, 311, 121, 337)(97, 313, 124, 340, 151, 367, 130, 346, 101, 317, 125, 341)(99, 315, 126, 342, 154, 370, 131, 347, 103, 319, 127, 343)(100, 316, 128, 344, 156, 372, 135, 351, 108, 324, 129, 345)(107, 323, 133, 349, 160, 376, 136, 352, 109, 325, 134, 350)(137, 353, 163, 379, 146, 362, 167, 383, 140, 356, 164, 380)(139, 355, 165, 381, 148, 364, 168, 384, 142, 358, 166, 382)(144, 360, 169, 385, 149, 365, 171, 387, 145, 361, 170, 386)(150, 366, 172, 388, 159, 375, 176, 392, 153, 369, 173, 389)(152, 368, 174, 390, 161, 377, 177, 393, 155, 371, 175, 391)(157, 373, 178, 394, 162, 378, 180, 396, 158, 374, 179, 395)(181, 397, 199, 415, 187, 403, 203, 419, 183, 399, 200, 416)(182, 398, 201, 417, 188, 404, 204, 420, 184, 400, 202, 418)(185, 401, 205, 421, 189, 405, 207, 423, 186, 402, 206, 422)(190, 406, 208, 424, 196, 412, 212, 428, 192, 408, 209, 425)(191, 407, 210, 426, 197, 413, 213, 429, 193, 409, 211, 427)(194, 410, 214, 430, 198, 414, 216, 432, 195, 411, 215, 431)
	L = (1, 218)(2, 217)(3, 223)(4, 225)(5, 227)(6, 229)(7, 219)(8, 233)(9, 220)(10, 237)(11, 221)(12, 240)(13, 222)(14, 244)(15, 245)(16, 247)(17, 224)(18, 251)(19, 252)(20, 254)(21, 226)(22, 258)(23, 260)(24, 228)(25, 264)(26, 265)(27, 267)(28, 230)(29, 231)(30, 262)(31, 232)(32, 269)(33, 259)(34, 266)(35, 234)(36, 235)(37, 263)(38, 236)(39, 270)(40, 261)(41, 268)(42, 238)(43, 249)(44, 239)(45, 256)(46, 246)(47, 253)(48, 241)(49, 242)(50, 250)(51, 243)(52, 257)(53, 248)(54, 255)(55, 299)(56, 301)(57, 302)(58, 303)(59, 305)(60, 290)(61, 297)(62, 300)(63, 304)(64, 309)(65, 310)(66, 311)(67, 291)(68, 298)(69, 313)(70, 315)(71, 316)(72, 317)(73, 319)(74, 276)(75, 283)(76, 314)(77, 318)(78, 323)(79, 324)(80, 325)(81, 277)(82, 284)(83, 271)(84, 278)(85, 272)(86, 273)(87, 274)(88, 279)(89, 275)(90, 321)(91, 320)(92, 326)(93, 280)(94, 281)(95, 282)(96, 322)(97, 285)(98, 292)(99, 286)(100, 287)(101, 288)(102, 293)(103, 289)(104, 307)(105, 306)(106, 312)(107, 294)(108, 295)(109, 296)(110, 308)(111, 353)(112, 355)(113, 356)(114, 358)(115, 354)(116, 357)(117, 360)(118, 361)(119, 359)(120, 362)(121, 364)(122, 363)(123, 365)(124, 366)(125, 368)(126, 369)(127, 371)(128, 367)(129, 370)(130, 373)(131, 374)(132, 372)(133, 375)(134, 377)(135, 376)(136, 378)(137, 327)(138, 331)(139, 328)(140, 329)(141, 332)(142, 330)(143, 335)(144, 333)(145, 334)(146, 336)(147, 338)(148, 337)(149, 339)(150, 340)(151, 344)(152, 341)(153, 342)(154, 345)(155, 343)(156, 348)(157, 346)(158, 347)(159, 349)(160, 351)(161, 350)(162, 352)(163, 397)(164, 398)(165, 399)(166, 400)(167, 401)(168, 402)(169, 403)(170, 404)(171, 405)(172, 406)(173, 407)(174, 408)(175, 409)(176, 410)(177, 411)(178, 412)(179, 413)(180, 414)(181, 379)(182, 380)(183, 381)(184, 382)(185, 383)(186, 384)(187, 385)(188, 386)(189, 387)(190, 388)(191, 389)(192, 390)(193, 391)(194, 392)(195, 393)(196, 394)(197, 395)(198, 396)(199, 424)(200, 426)(201, 425)(202, 427)(203, 430)(204, 431)(205, 428)(206, 429)(207, 432)(208, 415)(209, 417)(210, 416)(211, 418)(212, 421)(213, 422)(214, 419)(215, 420)(216, 423)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3106
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 36 e = 216 f = 126
	degree seq :: [ 12^36 ]

E28.3108 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 12})
Quotient :: loop
Aut^+ = C3 x ((C6 x S3) : C2) (small group id <216, 122>)
Aut   = $<432, 602>$ (small group id <432, 602>)
|r| :: 2
Presentation :: [ F^2, (T1 * T2)^2, (F * T2)^2, (F * T1)^2, T1^6, T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1, T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^3 * T2^-1 * T1^2, T2^12, (T2^5 * T1^-1)^2 ]
Map::
	R = (1, 217, 3, 219, 10, 226, 26, 242, 61, 277, 107, 323, 162, 378, 126, 342, 76, 292, 38, 254, 15, 231, 5, 221)(2, 218, 7, 223, 19, 235, 46, 262, 91, 307, 144, 360, 184, 400, 154, 370, 98, 314, 54, 270, 22, 238, 8, 224)(4, 220, 12, 228, 31, 247, 70, 286, 118, 334, 166, 382, 192, 408, 157, 373, 103, 319, 58, 274, 24, 240, 9, 225)(6, 222, 17, 233, 41, 257, 82, 298, 134, 350, 176, 392, 204, 420, 179, 395, 140, 356, 88, 304, 44, 260, 18, 234)(11, 227, 28, 244, 65, 281, 114, 330, 139, 355, 125, 341, 171, 387, 193, 409, 158, 374, 104, 320, 59, 275, 25, 241)(13, 229, 33, 249, 64, 280, 113, 329, 163, 379, 191, 407, 213, 429, 197, 413, 164, 380, 116, 332, 69, 285, 30, 246)(14, 230, 35, 251, 73, 289, 122, 338, 168, 384, 196, 412, 161, 377, 108, 324, 149, 365, 94, 310, 50, 266, 36, 252)(16, 232, 39, 255, 77, 293, 127, 343, 172, 388, 200, 416, 214, 430, 201, 417, 173, 389, 132, 348, 80, 296, 40, 256)(20, 236, 48, 264, 29, 245, 67, 283, 110, 326, 153, 369, 188, 404, 207, 423, 180, 396, 141, 357, 89, 305, 45, 261)(21, 237, 51, 267, 95, 311, 150, 366, 185, 401, 210, 426, 183, 399, 145, 361, 119, 335, 137, 353, 85, 301, 52, 268)(23, 239, 56, 272, 101, 317, 155, 371, 189, 405, 211, 427, 199, 415, 167, 383, 121, 337, 72, 288, 34, 250, 57, 273)(27, 243, 63, 279, 111, 327, 129, 345, 120, 336, 75, 291, 124, 340, 170, 386, 194, 410, 159, 375, 105, 321, 60, 276)(32, 248, 66, 282, 112, 328, 148, 364, 97, 313, 152, 368, 187, 403, 208, 424, 181, 397, 142, 358, 90, 306, 47, 263)(37, 253, 74, 290, 123, 339, 169, 385, 195, 411, 160, 376, 106, 322, 62, 278, 109, 325, 130, 346, 86, 302, 43, 259)(42, 258, 83, 299, 49, 265, 93, 309, 147, 363, 178, 394, 206, 422, 215, 431, 202, 418, 174, 390, 133, 349, 81, 297)(53, 269, 96, 312, 151, 367, 186, 402, 209, 425, 182, 398, 143, 359, 92, 308, 146, 362, 115, 331, 131, 347, 79, 295)(55, 271, 99, 315, 68, 284, 87, 303, 138, 354, 177, 393, 205, 421, 216, 432, 203, 419, 175, 391, 135, 351, 100, 316)(71, 287, 78, 294, 128, 344, 84, 300, 136, 352, 102, 318, 156, 372, 190, 406, 212, 428, 198, 414, 165, 381, 117, 333)
	L = (1, 218)(2, 222)(3, 225)(4, 217)(5, 230)(6, 232)(7, 221)(8, 237)(9, 239)(10, 241)(11, 219)(12, 246)(13, 220)(14, 250)(15, 253)(16, 229)(17, 224)(18, 259)(19, 261)(20, 223)(21, 266)(22, 269)(23, 271)(24, 267)(25, 257)(26, 276)(27, 226)(28, 264)(29, 227)(30, 284)(31, 263)(32, 228)(33, 256)(34, 265)(35, 231)(36, 268)(37, 260)(38, 291)(39, 234)(40, 295)(41, 297)(42, 233)(43, 301)(44, 303)(45, 293)(46, 306)(47, 235)(48, 299)(49, 236)(50, 300)(51, 238)(52, 302)(53, 296)(54, 313)(55, 245)(56, 240)(57, 252)(58, 318)(59, 311)(60, 317)(61, 322)(62, 242)(63, 249)(64, 243)(65, 248)(66, 244)(67, 316)(68, 331)(69, 251)(70, 333)(71, 247)(72, 336)(73, 332)(74, 254)(75, 337)(76, 341)(77, 287)(78, 255)(79, 346)(80, 272)(81, 280)(82, 275)(83, 344)(84, 258)(85, 345)(86, 347)(87, 285)(88, 355)(89, 290)(90, 289)(91, 359)(92, 262)(93, 288)(94, 364)(95, 274)(96, 270)(97, 365)(98, 369)(99, 273)(100, 352)(101, 348)(102, 351)(103, 368)(104, 367)(105, 366)(106, 350)(107, 377)(108, 277)(109, 283)(110, 278)(111, 282)(112, 279)(113, 349)(114, 362)(115, 281)(116, 363)(117, 354)(118, 361)(119, 286)(120, 353)(121, 343)(122, 358)(123, 357)(124, 292)(125, 356)(126, 382)(127, 305)(128, 327)(129, 294)(130, 328)(131, 315)(132, 326)(133, 312)(134, 391)(135, 298)(136, 310)(137, 330)(138, 304)(139, 335)(140, 394)(141, 393)(142, 339)(143, 388)(144, 399)(145, 307)(146, 309)(147, 308)(148, 325)(149, 329)(150, 320)(151, 390)(152, 314)(153, 389)(154, 323)(155, 321)(156, 319)(157, 407)(158, 403)(159, 406)(160, 401)(161, 405)(162, 400)(163, 324)(164, 340)(165, 338)(166, 415)(167, 334)(168, 414)(169, 397)(170, 413)(171, 342)(172, 383)(173, 372)(174, 371)(175, 379)(176, 376)(177, 381)(178, 380)(179, 360)(180, 387)(181, 386)(182, 385)(183, 384)(184, 420)(185, 375)(186, 374)(187, 373)(188, 370)(189, 418)(190, 417)(191, 419)(192, 378)(193, 423)(194, 424)(195, 425)(196, 426)(197, 416)(198, 422)(199, 421)(200, 398)(201, 392)(202, 404)(203, 402)(204, 430)(205, 396)(206, 395)(207, 431)(208, 409)(209, 432)(210, 411)(211, 412)(212, 410)(213, 408)(214, 429)(215, 428)(216, 427)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.3104
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 18 e = 216 f = 144
	degree seq :: [ 24^18 ]

E28.3109 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 12})
Quotient :: loop
Aut^+ = C3 x ((C6 x S3) : C2) (small group id <216, 122>)
Aut   = $<432, 602>$ (small group id <432, 602>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^-1, (T2 * T1^-1)^6, T1^12, (T2 * T1^-6)^2 ]
Map:: polytopal non-degenerate
	R = (1, 217, 3, 219)(2, 218, 6, 222)(4, 220, 9, 225)(5, 221, 12, 228)(7, 223, 16, 232)(8, 224, 17, 233)(10, 226, 21, 237)(11, 227, 24, 240)(13, 229, 28, 244)(14, 230, 29, 245)(15, 231, 32, 248)(18, 234, 37, 253)(19, 235, 40, 256)(20, 236, 41, 257)(22, 238, 45, 261)(23, 239, 48, 264)(25, 241, 52, 268)(26, 242, 53, 269)(27, 243, 56, 272)(30, 246, 61, 277)(31, 247, 64, 280)(33, 249, 66, 282)(34, 250, 67, 283)(35, 251, 69, 285)(36, 252, 70, 286)(38, 254, 73, 289)(39, 255, 65, 281)(42, 258, 72, 288)(43, 259, 68, 284)(44, 260, 71, 287)(46, 262, 83, 299)(47, 263, 86, 302)(49, 265, 90, 306)(50, 266, 91, 307)(51, 267, 94, 310)(54, 270, 97, 313)(55, 271, 100, 316)(57, 273, 101, 317)(58, 274, 102, 318)(59, 275, 103, 319)(60, 276, 104, 320)(62, 278, 105, 321)(63, 279, 108, 324)(74, 290, 122, 338)(75, 291, 125, 341)(76, 292, 126, 342)(77, 293, 112, 328)(78, 294, 129, 345)(79, 295, 111, 327)(80, 296, 119, 335)(81, 297, 127, 343)(82, 298, 128, 344)(84, 300, 137, 353)(85, 301, 138, 354)(87, 303, 142, 358)(88, 304, 143, 359)(89, 305, 146, 362)(92, 308, 149, 365)(93, 309, 152, 368)(95, 311, 153, 369)(96, 312, 154, 370)(98, 314, 155, 371)(99, 315, 158, 374)(106, 322, 167, 383)(107, 323, 169, 385)(109, 325, 171, 387)(110, 326, 172, 388)(113, 329, 175, 391)(114, 330, 176, 392)(115, 331, 159, 375)(116, 332, 177, 393)(117, 333, 147, 363)(118, 334, 162, 378)(120, 336, 179, 395)(121, 337, 161, 377)(123, 339, 184, 400)(124, 340, 170, 386)(130, 346, 183, 399)(131, 347, 173, 389)(132, 348, 182, 398)(133, 349, 174, 390)(134, 350, 181, 397)(135, 351, 178, 394)(136, 352, 180, 396)(139, 355, 188, 404)(140, 356, 189, 405)(141, 357, 190, 406)(144, 360, 193, 409)(145, 361, 194, 410)(148, 364, 195, 411)(150, 366, 196, 412)(151, 367, 197, 413)(156, 372, 202, 418)(157, 373, 203, 419)(160, 376, 204, 420)(163, 379, 198, 414)(164, 380, 191, 407)(165, 381, 205, 421)(166, 382, 199, 415)(168, 384, 206, 422)(185, 401, 211, 427)(186, 402, 207, 423)(187, 403, 208, 424)(192, 408, 214, 430)(200, 416, 212, 428)(201, 417, 216, 432)(209, 425, 213, 429)(210, 426, 215, 431)
	L = (1, 218)(2, 221)(3, 223)(4, 217)(5, 227)(6, 229)(7, 231)(8, 219)(9, 235)(10, 220)(11, 239)(12, 241)(13, 243)(14, 222)(15, 247)(16, 249)(17, 251)(18, 224)(19, 255)(20, 225)(21, 259)(22, 226)(23, 263)(24, 265)(25, 267)(26, 228)(27, 271)(28, 273)(29, 275)(30, 230)(31, 279)(32, 272)(33, 268)(34, 232)(35, 269)(36, 233)(37, 277)(38, 234)(39, 291)(40, 274)(41, 276)(42, 236)(43, 295)(44, 237)(45, 297)(46, 238)(47, 301)(48, 303)(49, 305)(50, 240)(51, 309)(52, 311)(53, 312)(54, 242)(55, 315)(56, 310)(57, 306)(58, 244)(59, 307)(60, 245)(61, 313)(62, 246)(63, 323)(64, 325)(65, 248)(66, 328)(67, 330)(68, 250)(69, 329)(70, 331)(71, 252)(72, 253)(73, 336)(74, 254)(75, 340)(76, 256)(77, 257)(78, 258)(79, 347)(80, 260)(81, 349)(82, 261)(83, 351)(84, 262)(85, 300)(86, 355)(87, 357)(88, 264)(89, 361)(90, 363)(91, 364)(92, 266)(93, 367)(94, 362)(95, 358)(96, 359)(97, 365)(98, 270)(99, 373)(100, 375)(101, 286)(102, 378)(103, 377)(104, 379)(105, 381)(106, 278)(107, 354)(108, 374)(109, 368)(110, 280)(111, 281)(112, 387)(113, 282)(114, 388)(115, 283)(116, 284)(117, 285)(118, 287)(119, 288)(120, 371)(121, 289)(122, 383)(123, 290)(124, 356)(125, 376)(126, 402)(127, 292)(128, 293)(129, 382)(130, 294)(131, 360)(132, 296)(133, 366)(134, 298)(135, 372)(136, 299)(137, 384)(138, 339)(139, 346)(140, 302)(141, 348)(142, 407)(143, 408)(144, 304)(145, 350)(146, 406)(147, 404)(148, 405)(149, 409)(150, 308)(151, 352)(152, 414)(153, 320)(154, 415)(155, 417)(156, 314)(157, 353)(158, 413)(159, 410)(160, 316)(161, 317)(162, 420)(163, 318)(164, 319)(165, 412)(166, 321)(167, 418)(168, 322)(169, 423)(170, 324)(171, 342)(172, 424)(173, 326)(174, 327)(175, 345)(176, 344)(177, 425)(178, 332)(179, 333)(180, 334)(181, 335)(182, 337)(183, 338)(184, 426)(185, 341)(186, 427)(187, 343)(188, 428)(189, 429)(190, 399)(191, 400)(192, 385)(193, 386)(194, 391)(195, 395)(196, 401)(197, 397)(198, 398)(199, 369)(200, 370)(201, 389)(202, 390)(203, 392)(204, 393)(205, 380)(206, 403)(207, 396)(208, 430)(209, 432)(210, 394)(211, 431)(212, 422)(213, 419)(214, 421)(215, 411)(216, 416)
	local type(s) :: { ( 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3105
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 108 e = 216 f = 54
	degree seq :: [ 4^108 ]

E28.3110 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x ((C6 x S3) : C2) (small group id <216, 122>)
Aut   = $<432, 602>$ (small group id <432, 602>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^6, (R * Y2^-2 * Y1)^2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2 * Y1 * Y2^-1, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 217, 2, 218)(3, 219, 7, 223)(4, 220, 9, 225)(5, 221, 11, 227)(6, 222, 13, 229)(8, 224, 17, 233)(10, 226, 21, 237)(12, 228, 24, 240)(14, 230, 28, 244)(15, 231, 29, 245)(16, 232, 31, 247)(18, 234, 35, 251)(19, 235, 36, 252)(20, 236, 38, 254)(22, 238, 42, 258)(23, 239, 44, 260)(25, 241, 48, 264)(26, 242, 49, 265)(27, 243, 51, 267)(30, 246, 46, 262)(32, 248, 53, 269)(33, 249, 43, 259)(34, 250, 50, 266)(37, 253, 47, 263)(39, 255, 54, 270)(40, 256, 45, 261)(41, 257, 52, 268)(55, 271, 83, 299)(56, 272, 85, 301)(57, 273, 86, 302)(58, 274, 87, 303)(59, 275, 89, 305)(60, 276, 74, 290)(61, 277, 81, 297)(62, 278, 84, 300)(63, 279, 88, 304)(64, 280, 93, 309)(65, 281, 94, 310)(66, 282, 95, 311)(67, 283, 75, 291)(68, 284, 82, 298)(69, 285, 97, 313)(70, 286, 99, 315)(71, 287, 100, 316)(72, 288, 101, 317)(73, 289, 103, 319)(76, 292, 98, 314)(77, 293, 102, 318)(78, 294, 107, 323)(79, 295, 108, 324)(80, 296, 109, 325)(90, 306, 105, 321)(91, 307, 104, 320)(92, 308, 110, 326)(96, 312, 106, 322)(111, 327, 137, 353)(112, 328, 139, 355)(113, 329, 140, 356)(114, 330, 142, 358)(115, 331, 138, 354)(116, 332, 141, 357)(117, 333, 144, 360)(118, 334, 145, 361)(119, 335, 143, 359)(120, 336, 146, 362)(121, 337, 148, 364)(122, 338, 147, 363)(123, 339, 149, 365)(124, 340, 150, 366)(125, 341, 152, 368)(126, 342, 153, 369)(127, 343, 155, 371)(128, 344, 151, 367)(129, 345, 154, 370)(130, 346, 157, 373)(131, 347, 158, 374)(132, 348, 156, 372)(133, 349, 159, 375)(134, 350, 161, 377)(135, 351, 160, 376)(136, 352, 162, 378)(163, 379, 181, 397)(164, 380, 182, 398)(165, 381, 183, 399)(166, 382, 184, 400)(167, 383, 185, 401)(168, 384, 186, 402)(169, 385, 187, 403)(170, 386, 188, 404)(171, 387, 189, 405)(172, 388, 190, 406)(173, 389, 191, 407)(174, 390, 192, 408)(175, 391, 193, 409)(176, 392, 194, 410)(177, 393, 195, 411)(178, 394, 196, 412)(179, 395, 197, 413)(180, 396, 198, 414)(199, 415, 208, 424)(200, 416, 210, 426)(201, 417, 209, 425)(202, 418, 211, 427)(203, 419, 214, 430)(204, 420, 215, 431)(205, 421, 212, 428)(206, 422, 213, 429)(207, 423, 216, 432)(433, 649, 435, 651, 440, 656, 450, 666, 442, 658, 436, 652)(434, 650, 437, 653, 444, 660, 457, 673, 446, 662, 438, 654)(439, 655, 447, 663, 462, 678, 489, 705, 464, 680, 448, 664)(441, 657, 451, 667, 469, 685, 497, 713, 471, 687, 452, 668)(443, 659, 454, 670, 475, 691, 503, 719, 477, 693, 455, 671)(445, 661, 458, 674, 482, 698, 511, 727, 484, 700, 459, 675)(449, 665, 465, 681, 492, 708, 522, 738, 493, 709, 466, 682)(453, 669, 472, 688, 499, 715, 528, 744, 500, 716, 473, 689)(456, 672, 478, 694, 506, 722, 536, 752, 507, 723, 479, 695)(460, 676, 485, 701, 513, 729, 542, 758, 514, 730, 486, 702)(461, 677, 487, 703, 516, 732, 496, 712, 468, 684, 488, 704)(463, 679, 490, 706, 520, 736, 498, 714, 470, 686, 491, 707)(467, 683, 494, 710, 523, 739, 551, 767, 524, 740, 495, 711)(474, 690, 501, 717, 530, 746, 510, 726, 481, 697, 502, 718)(476, 692, 504, 720, 534, 750, 512, 728, 483, 699, 505, 721)(480, 696, 508, 724, 537, 753, 564, 780, 538, 754, 509, 725)(515, 731, 543, 759, 570, 786, 549, 765, 519, 735, 544, 760)(517, 733, 545, 761, 573, 789, 550, 766, 521, 737, 546, 762)(518, 734, 547, 763, 575, 791, 554, 770, 526, 742, 548, 764)(525, 741, 552, 768, 579, 795, 555, 771, 527, 743, 553, 769)(529, 745, 556, 772, 583, 799, 562, 778, 533, 749, 557, 773)(531, 747, 558, 774, 586, 802, 563, 779, 535, 751, 559, 775)(532, 748, 560, 776, 588, 804, 567, 783, 540, 756, 561, 777)(539, 755, 565, 781, 592, 808, 568, 784, 541, 757, 566, 782)(569, 785, 595, 811, 578, 794, 599, 815, 572, 788, 596, 812)(571, 787, 597, 813, 580, 796, 600, 816, 574, 790, 598, 814)(576, 792, 601, 817, 581, 797, 603, 819, 577, 793, 602, 818)(582, 798, 604, 820, 591, 807, 608, 824, 585, 801, 605, 821)(584, 800, 606, 822, 593, 809, 609, 825, 587, 803, 607, 823)(589, 805, 610, 826, 594, 810, 612, 828, 590, 806, 611, 827)(613, 829, 631, 847, 619, 835, 635, 851, 615, 831, 632, 848)(614, 830, 633, 849, 620, 836, 636, 852, 616, 832, 634, 850)(617, 833, 637, 853, 621, 837, 639, 855, 618, 834, 638, 854)(622, 838, 640, 856, 628, 844, 644, 860, 624, 840, 641, 857)(623, 839, 642, 858, 629, 845, 645, 861, 625, 841, 643, 859)(626, 842, 646, 862, 630, 846, 648, 864, 627, 843, 647, 863)
	L = (1, 434)(2, 433)(3, 439)(4, 441)(5, 443)(6, 445)(7, 435)(8, 449)(9, 436)(10, 453)(11, 437)(12, 456)(13, 438)(14, 460)(15, 461)(16, 463)(17, 440)(18, 467)(19, 468)(20, 470)(21, 442)(22, 474)(23, 476)(24, 444)(25, 480)(26, 481)(27, 483)(28, 446)(29, 447)(30, 478)(31, 448)(32, 485)(33, 475)(34, 482)(35, 450)(36, 451)(37, 479)(38, 452)(39, 486)(40, 477)(41, 484)(42, 454)(43, 465)(44, 455)(45, 472)(46, 462)(47, 469)(48, 457)(49, 458)(50, 466)(51, 459)(52, 473)(53, 464)(54, 471)(55, 515)(56, 517)(57, 518)(58, 519)(59, 521)(60, 506)(61, 513)(62, 516)(63, 520)(64, 525)(65, 526)(66, 527)(67, 507)(68, 514)(69, 529)(70, 531)(71, 532)(72, 533)(73, 535)(74, 492)(75, 499)(76, 530)(77, 534)(78, 539)(79, 540)(80, 541)(81, 493)(82, 500)(83, 487)(84, 494)(85, 488)(86, 489)(87, 490)(88, 495)(89, 491)(90, 537)(91, 536)(92, 542)(93, 496)(94, 497)(95, 498)(96, 538)(97, 501)(98, 508)(99, 502)(100, 503)(101, 504)(102, 509)(103, 505)(104, 523)(105, 522)(106, 528)(107, 510)(108, 511)(109, 512)(110, 524)(111, 569)(112, 571)(113, 572)(114, 574)(115, 570)(116, 573)(117, 576)(118, 577)(119, 575)(120, 578)(121, 580)(122, 579)(123, 581)(124, 582)(125, 584)(126, 585)(127, 587)(128, 583)(129, 586)(130, 589)(131, 590)(132, 588)(133, 591)(134, 593)(135, 592)(136, 594)(137, 543)(138, 547)(139, 544)(140, 545)(141, 548)(142, 546)(143, 551)(144, 549)(145, 550)(146, 552)(147, 554)(148, 553)(149, 555)(150, 556)(151, 560)(152, 557)(153, 558)(154, 561)(155, 559)(156, 564)(157, 562)(158, 563)(159, 565)(160, 567)(161, 566)(162, 568)(163, 613)(164, 614)(165, 615)(166, 616)(167, 617)(168, 618)(169, 619)(170, 620)(171, 621)(172, 622)(173, 623)(174, 624)(175, 625)(176, 626)(177, 627)(178, 628)(179, 629)(180, 630)(181, 595)(182, 596)(183, 597)(184, 598)(185, 599)(186, 600)(187, 601)(188, 602)(189, 603)(190, 604)(191, 605)(192, 606)(193, 607)(194, 608)(195, 609)(196, 610)(197, 611)(198, 612)(199, 640)(200, 642)(201, 641)(202, 643)(203, 646)(204, 647)(205, 644)(206, 645)(207, 648)(208, 631)(209, 633)(210, 632)(211, 634)(212, 637)(213, 638)(214, 635)(215, 636)(216, 639)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.3113
Graph:: bipartite
	v = 144 e = 432 f = 234
	degree seq :: [ 4^108, 12^36 ]

E28.3111 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x ((C6 x S3) : C2) (small group id <216, 122>)
Aut   = $<432, 602>$ (small group id <432, 602>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y1 * Y2)^2, (Y2 * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, Y1^6, Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1^-1, Y2^2 * Y1^2 * Y2^-2 * Y1^-2, Y2^3 * Y1^-3 * Y2^3 * Y1^3, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^3 * Y2^-1 * Y1^2, (Y2^5 * Y1^-1)^2, Y2^12 ]
Map::
	R = (1, 217, 2, 218, 6, 222, 16, 232, 13, 229, 4, 220)(3, 219, 9, 225, 23, 239, 55, 271, 29, 245, 11, 227)(5, 221, 14, 230, 34, 250, 49, 265, 20, 236, 7, 223)(8, 224, 21, 237, 50, 266, 84, 300, 42, 258, 17, 233)(10, 226, 25, 241, 41, 257, 81, 297, 64, 280, 27, 243)(12, 228, 30, 246, 68, 284, 115, 331, 65, 281, 32, 248)(15, 231, 37, 253, 44, 260, 87, 303, 69, 285, 35, 251)(18, 234, 43, 259, 85, 301, 129, 345, 78, 294, 39, 255)(19, 235, 45, 261, 77, 293, 71, 287, 31, 247, 47, 263)(22, 238, 53, 269, 80, 296, 56, 272, 24, 240, 51, 267)(26, 242, 60, 276, 101, 317, 132, 348, 110, 326, 62, 278)(28, 244, 48, 264, 83, 299, 128, 344, 111, 327, 66, 282)(33, 249, 40, 256, 79, 295, 130, 346, 112, 328, 63, 279)(36, 252, 52, 268, 86, 302, 131, 347, 99, 315, 57, 273)(38, 254, 75, 291, 121, 337, 127, 343, 89, 305, 74, 290)(46, 262, 90, 306, 73, 289, 116, 332, 147, 363, 92, 308)(54, 270, 97, 313, 149, 365, 113, 329, 133, 349, 96, 312)(58, 274, 102, 318, 135, 351, 82, 298, 59, 275, 95, 311)(61, 277, 106, 322, 134, 350, 175, 391, 163, 379, 108, 324)(67, 283, 100, 316, 136, 352, 94, 310, 148, 364, 109, 325)(70, 286, 117, 333, 138, 354, 88, 304, 139, 355, 119, 335)(72, 288, 120, 336, 137, 353, 114, 330, 146, 362, 93, 309)(76, 292, 125, 341, 140, 356, 178, 394, 164, 380, 124, 340)(91, 307, 143, 359, 172, 388, 167, 383, 118, 334, 145, 361)(98, 314, 153, 369, 173, 389, 156, 372, 103, 319, 152, 368)(104, 320, 151, 367, 174, 390, 155, 371, 105, 321, 150, 366)(107, 323, 161, 377, 189, 405, 202, 418, 188, 404, 154, 370)(122, 338, 142, 358, 123, 339, 141, 357, 177, 393, 165, 381)(126, 342, 166, 382, 199, 415, 205, 421, 180, 396, 171, 387)(144, 360, 183, 399, 168, 384, 198, 414, 206, 422, 179, 395)(157, 373, 191, 407, 203, 419, 186, 402, 158, 374, 187, 403)(159, 375, 190, 406, 201, 417, 176, 392, 160, 376, 185, 401)(162, 378, 184, 400, 204, 420, 214, 430, 213, 429, 192, 408)(169, 385, 181, 397, 170, 386, 197, 413, 200, 416, 182, 398)(193, 409, 207, 423, 215, 431, 212, 428, 194, 410, 208, 424)(195, 411, 209, 425, 216, 432, 211, 427, 196, 412, 210, 426)(433, 649, 435, 651, 442, 658, 458, 674, 493, 709, 539, 755, 594, 810, 558, 774, 508, 724, 470, 686, 447, 663, 437, 653)(434, 650, 439, 655, 451, 667, 478, 694, 523, 739, 576, 792, 616, 832, 586, 802, 530, 746, 486, 702, 454, 670, 440, 656)(436, 652, 444, 660, 463, 679, 502, 718, 550, 766, 598, 814, 624, 840, 589, 805, 535, 751, 490, 706, 456, 672, 441, 657)(438, 654, 449, 665, 473, 689, 514, 730, 566, 782, 608, 824, 636, 852, 611, 827, 572, 788, 520, 736, 476, 692, 450, 666)(443, 659, 460, 676, 497, 713, 546, 762, 571, 787, 557, 773, 603, 819, 625, 841, 590, 806, 536, 752, 491, 707, 457, 673)(445, 661, 465, 681, 496, 712, 545, 761, 595, 811, 623, 839, 645, 861, 629, 845, 596, 812, 548, 764, 501, 717, 462, 678)(446, 662, 467, 683, 505, 721, 554, 770, 600, 816, 628, 844, 593, 809, 540, 756, 581, 797, 526, 742, 482, 698, 468, 684)(448, 664, 471, 687, 509, 725, 559, 775, 604, 820, 632, 848, 646, 862, 633, 849, 605, 821, 564, 780, 512, 728, 472, 688)(452, 668, 480, 696, 461, 677, 499, 715, 542, 758, 585, 801, 620, 836, 639, 855, 612, 828, 573, 789, 521, 737, 477, 693)(453, 669, 483, 699, 527, 743, 582, 798, 617, 833, 642, 858, 615, 831, 577, 793, 551, 767, 569, 785, 517, 733, 484, 700)(455, 671, 488, 704, 533, 749, 587, 803, 621, 837, 643, 859, 631, 847, 599, 815, 553, 769, 504, 720, 466, 682, 489, 705)(459, 675, 495, 711, 543, 759, 561, 777, 552, 768, 507, 723, 556, 772, 602, 818, 626, 842, 591, 807, 537, 753, 492, 708)(464, 680, 498, 714, 544, 760, 580, 796, 529, 745, 584, 800, 619, 835, 640, 856, 613, 829, 574, 790, 522, 738, 479, 695)(469, 685, 506, 722, 555, 771, 601, 817, 627, 843, 592, 808, 538, 754, 494, 710, 541, 757, 562, 778, 518, 734, 475, 691)(474, 690, 515, 731, 481, 697, 525, 741, 579, 795, 610, 826, 638, 854, 647, 863, 634, 850, 606, 822, 565, 781, 513, 729)(485, 701, 528, 744, 583, 799, 618, 834, 641, 857, 614, 830, 575, 791, 524, 740, 578, 794, 547, 763, 563, 779, 511, 727)(487, 703, 531, 747, 500, 716, 519, 735, 570, 786, 609, 825, 637, 853, 648, 864, 635, 851, 607, 823, 567, 783, 532, 748)(503, 719, 510, 726, 560, 776, 516, 732, 568, 784, 534, 750, 588, 804, 622, 838, 644, 860, 630, 846, 597, 813, 549, 765)
	L = (1, 435)(2, 439)(3, 442)(4, 444)(5, 433)(6, 449)(7, 451)(8, 434)(9, 436)(10, 458)(11, 460)(12, 463)(13, 465)(14, 467)(15, 437)(16, 471)(17, 473)(18, 438)(19, 478)(20, 480)(21, 483)(22, 440)(23, 488)(24, 441)(25, 443)(26, 493)(27, 495)(28, 497)(29, 499)(30, 445)(31, 502)(32, 498)(33, 496)(34, 489)(35, 505)(36, 446)(37, 506)(38, 447)(39, 509)(40, 448)(41, 514)(42, 515)(43, 469)(44, 450)(45, 452)(46, 523)(47, 464)(48, 461)(49, 525)(50, 468)(51, 527)(52, 453)(53, 528)(54, 454)(55, 531)(56, 533)(57, 455)(58, 456)(59, 457)(60, 459)(61, 539)(62, 541)(63, 543)(64, 545)(65, 546)(66, 544)(67, 542)(68, 519)(69, 462)(70, 550)(71, 510)(72, 466)(73, 554)(74, 555)(75, 556)(76, 470)(77, 559)(78, 560)(79, 485)(80, 472)(81, 474)(82, 566)(83, 481)(84, 568)(85, 484)(86, 475)(87, 570)(88, 476)(89, 477)(90, 479)(91, 576)(92, 578)(93, 579)(94, 482)(95, 582)(96, 583)(97, 584)(98, 486)(99, 500)(100, 487)(101, 587)(102, 588)(103, 490)(104, 491)(105, 492)(106, 494)(107, 594)(108, 581)(109, 562)(110, 585)(111, 561)(112, 580)(113, 595)(114, 571)(115, 563)(116, 501)(117, 503)(118, 598)(119, 569)(120, 507)(121, 504)(122, 600)(123, 601)(124, 602)(125, 603)(126, 508)(127, 604)(128, 516)(129, 552)(130, 518)(131, 511)(132, 512)(133, 513)(134, 608)(135, 532)(136, 534)(137, 517)(138, 609)(139, 557)(140, 520)(141, 521)(142, 522)(143, 524)(144, 616)(145, 551)(146, 547)(147, 610)(148, 529)(149, 526)(150, 617)(151, 618)(152, 619)(153, 620)(154, 530)(155, 621)(156, 622)(157, 535)(158, 536)(159, 537)(160, 538)(161, 540)(162, 558)(163, 623)(164, 548)(165, 549)(166, 624)(167, 553)(168, 628)(169, 627)(170, 626)(171, 625)(172, 632)(173, 564)(174, 565)(175, 567)(176, 636)(177, 637)(178, 638)(179, 572)(180, 573)(181, 574)(182, 575)(183, 577)(184, 586)(185, 642)(186, 641)(187, 640)(188, 639)(189, 643)(190, 644)(191, 645)(192, 589)(193, 590)(194, 591)(195, 592)(196, 593)(197, 596)(198, 597)(199, 599)(200, 646)(201, 605)(202, 606)(203, 607)(204, 611)(205, 648)(206, 647)(207, 612)(208, 613)(209, 614)(210, 615)(211, 631)(212, 630)(213, 629)(214, 633)(215, 634)(216, 635)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.3112
Graph:: bipartite
	v = 54 e = 432 f = 324
	degree seq :: [ 12^36, 24^18 ]

E28.3112 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x ((C6 x S3) : C2) (small group id <216, 122>)
Aut   = $<432, 602>$ (small group id <432, 602>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^2 * Y2 * Y3 * Y2 * Y3^-1, (Y3 * Y2)^6, Y3^-5 * Y2 * Y3^6 * Y2 * Y3^-1, (Y3^-1 * Y1^-1)^12 ]
Map:: polytopal
	R = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)(433, 649, 434, 650)(435, 651, 439, 655)(436, 652, 441, 657)(437, 653, 443, 659)(438, 654, 445, 661)(440, 656, 449, 665)(442, 658, 453, 669)(444, 660, 457, 673)(446, 662, 461, 677)(447, 663, 463, 679)(448, 664, 465, 681)(450, 666, 469, 685)(451, 667, 471, 687)(452, 668, 473, 689)(454, 670, 477, 693)(455, 671, 479, 695)(456, 672, 481, 697)(458, 674, 485, 701)(459, 675, 487, 703)(460, 676, 489, 705)(462, 678, 493, 709)(464, 680, 483, 699)(466, 682, 491, 707)(467, 683, 480, 696)(468, 684, 488, 704)(470, 686, 505, 721)(472, 688, 484, 700)(474, 690, 492, 708)(475, 691, 482, 698)(476, 692, 490, 706)(478, 694, 515, 731)(486, 702, 527, 743)(494, 710, 537, 753)(495, 711, 531, 747)(496, 712, 540, 756)(497, 713, 541, 757)(498, 714, 543, 759)(499, 715, 545, 761)(500, 716, 546, 762)(501, 717, 523, 739)(502, 718, 533, 749)(503, 719, 539, 755)(504, 720, 544, 760)(506, 722, 554, 770)(507, 723, 556, 772)(508, 724, 558, 774)(509, 725, 517, 733)(510, 726, 561, 777)(511, 727, 524, 740)(512, 728, 534, 750)(513, 729, 557, 773)(514, 730, 560, 776)(516, 732, 569, 785)(518, 734, 571, 787)(519, 735, 572, 788)(520, 736, 574, 790)(521, 737, 576, 792)(522, 738, 577, 793)(525, 741, 570, 786)(526, 742, 575, 791)(528, 744, 585, 801)(529, 745, 587, 803)(530, 746, 589, 805)(532, 748, 592, 808)(535, 751, 588, 804)(536, 752, 591, 807)(538, 754, 600, 816)(542, 758, 583, 799)(547, 763, 598, 814)(548, 764, 581, 797)(549, 765, 596, 812)(550, 766, 579, 795)(551, 767, 594, 810)(552, 768, 573, 789)(553, 769, 590, 806)(555, 771, 586, 802)(559, 775, 584, 800)(562, 778, 599, 815)(563, 779, 582, 798)(564, 780, 597, 813)(565, 781, 580, 796)(566, 782, 595, 811)(567, 783, 578, 794)(568, 784, 593, 809)(601, 817, 630, 846)(602, 818, 626, 842)(603, 819, 623, 839)(604, 820, 622, 838)(605, 821, 637, 853)(606, 822, 639, 855)(607, 823, 621, 837)(608, 824, 642, 858)(609, 825, 632, 848)(610, 826, 629, 845)(611, 827, 620, 836)(612, 828, 641, 857)(613, 829, 628, 844)(614, 830, 633, 849)(615, 831, 636, 852)(616, 832, 640, 856)(617, 833, 634, 850)(618, 834, 624, 840)(619, 835, 643, 859)(625, 841, 644, 860)(627, 843, 647, 863)(631, 847, 646, 862)(635, 851, 645, 861)(638, 854, 648, 864)
	L = (1, 435)(2, 437)(3, 440)(4, 433)(5, 444)(6, 434)(7, 447)(8, 450)(9, 451)(10, 436)(11, 455)(12, 458)(13, 459)(14, 438)(15, 464)(16, 439)(17, 467)(18, 470)(19, 472)(20, 441)(21, 475)(22, 442)(23, 480)(24, 443)(25, 483)(26, 486)(27, 488)(28, 445)(29, 491)(30, 446)(31, 495)(32, 497)(33, 498)(34, 448)(35, 501)(36, 449)(37, 503)(38, 506)(39, 496)(40, 508)(41, 499)(42, 452)(43, 511)(44, 453)(45, 513)(46, 454)(47, 517)(48, 519)(49, 520)(50, 456)(51, 523)(52, 457)(53, 525)(54, 528)(55, 518)(56, 530)(57, 521)(58, 460)(59, 533)(60, 461)(61, 535)(62, 462)(63, 539)(64, 463)(65, 542)(66, 544)(67, 465)(68, 466)(69, 548)(70, 468)(71, 550)(72, 469)(73, 552)(74, 555)(75, 471)(76, 559)(77, 473)(78, 474)(79, 563)(80, 476)(81, 565)(82, 477)(83, 567)(84, 478)(85, 570)(86, 479)(87, 573)(88, 575)(89, 481)(90, 482)(91, 579)(92, 484)(93, 581)(94, 485)(95, 583)(96, 586)(97, 487)(98, 590)(99, 489)(100, 490)(101, 594)(102, 492)(103, 596)(104, 493)(105, 598)(106, 494)(107, 587)(108, 592)(109, 576)(110, 603)(111, 591)(112, 605)(113, 601)(114, 606)(115, 500)(116, 609)(117, 502)(118, 611)(119, 504)(120, 613)(121, 505)(122, 615)(123, 516)(124, 617)(125, 507)(126, 602)(127, 616)(128, 509)(129, 607)(130, 510)(131, 614)(132, 512)(133, 612)(134, 514)(135, 610)(136, 515)(137, 608)(138, 556)(139, 561)(140, 545)(141, 622)(142, 560)(143, 624)(144, 620)(145, 625)(146, 522)(147, 628)(148, 524)(149, 630)(150, 526)(151, 632)(152, 527)(153, 634)(154, 538)(155, 636)(156, 529)(157, 621)(158, 635)(159, 531)(160, 626)(161, 532)(162, 633)(163, 534)(164, 631)(165, 536)(166, 629)(167, 537)(168, 627)(169, 540)(170, 541)(171, 569)(172, 543)(173, 640)(174, 641)(175, 546)(176, 547)(177, 568)(178, 549)(179, 566)(180, 551)(181, 564)(182, 553)(183, 562)(184, 554)(185, 643)(186, 557)(187, 558)(188, 571)(189, 572)(190, 600)(191, 574)(192, 645)(193, 646)(194, 577)(195, 578)(196, 599)(197, 580)(198, 597)(199, 582)(200, 595)(201, 584)(202, 593)(203, 585)(204, 648)(205, 588)(206, 589)(207, 604)(208, 644)(209, 619)(210, 618)(211, 647)(212, 623)(213, 639)(214, 638)(215, 637)(216, 642)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 12, 24 ), ( 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.3111
Graph:: simple bipartite
	v = 324 e = 432 f = 54
	degree seq :: [ 2^216, 4^108 ]

E28.3113 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x ((C6 x S3) : C2) (small group id <216, 122>)
Aut   = $<432, 602>$ (small group id <432, 602>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y3^2 * Y1 * Y3^-2 * Y1^-1, Y1^-1 * Y3 * Y1 * Y3 * Y1^2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1^2 * Y3^-1 * Y1 * Y3^-1 * Y1^-2, Y1^12, (Y3^-1 * Y1^-1)^6, Y3 * Y1^-6 * Y3^-1 * Y1^-6 ]
Map:: polytopal
	R = (1, 217, 2, 218, 5, 221, 11, 227, 23, 239, 47, 263, 85, 301, 84, 300, 46, 262, 22, 238, 10, 226, 4, 220)(3, 219, 7, 223, 15, 231, 31, 247, 63, 279, 107, 323, 138, 354, 123, 339, 74, 290, 38, 254, 18, 234, 8, 224)(6, 222, 13, 229, 27, 243, 55, 271, 99, 315, 157, 373, 137, 353, 168, 384, 106, 322, 62, 278, 30, 246, 14, 230)(9, 225, 19, 235, 39, 255, 75, 291, 124, 340, 140, 356, 86, 302, 139, 355, 130, 346, 78, 294, 42, 258, 20, 236)(12, 228, 25, 241, 51, 267, 93, 309, 151, 367, 136, 352, 83, 299, 135, 351, 156, 372, 98, 314, 54, 270, 26, 242)(16, 232, 33, 249, 52, 268, 95, 311, 142, 358, 191, 407, 184, 400, 210, 426, 178, 394, 116, 332, 68, 284, 34, 250)(17, 233, 35, 251, 53, 269, 96, 312, 143, 359, 192, 408, 169, 385, 207, 423, 180, 396, 118, 334, 71, 287, 36, 252)(21, 237, 43, 259, 79, 295, 131, 347, 144, 360, 88, 304, 48, 264, 87, 303, 141, 357, 132, 348, 80, 296, 44, 260)(24, 240, 49, 265, 89, 305, 145, 361, 134, 350, 82, 298, 45, 261, 81, 297, 133, 349, 150, 366, 92, 308, 50, 266)(28, 244, 57, 273, 90, 306, 147, 363, 188, 404, 212, 428, 206, 422, 187, 403, 127, 343, 76, 292, 40, 256, 58, 274)(29, 245, 59, 275, 91, 307, 148, 364, 189, 405, 213, 429, 203, 419, 176, 392, 128, 344, 77, 293, 41, 257, 60, 276)(32, 248, 56, 272, 94, 310, 146, 362, 190, 406, 183, 399, 122, 338, 167, 383, 202, 418, 174, 390, 111, 327, 65, 281)(37, 253, 61, 277, 97, 313, 149, 365, 193, 409, 170, 386, 108, 324, 158, 374, 197, 413, 181, 397, 119, 335, 72, 288)(64, 280, 109, 325, 152, 368, 198, 414, 182, 398, 121, 337, 73, 289, 120, 336, 155, 371, 201, 417, 173, 389, 110, 326)(66, 282, 112, 328, 171, 387, 126, 342, 186, 402, 211, 427, 215, 431, 195, 411, 179, 395, 117, 333, 69, 285, 113, 329)(67, 283, 114, 330, 172, 388, 208, 424, 214, 430, 205, 421, 164, 380, 103, 319, 161, 377, 101, 317, 70, 286, 115, 331)(100, 316, 159, 375, 194, 410, 175, 391, 129, 345, 166, 382, 105, 321, 165, 381, 196, 412, 185, 401, 125, 341, 160, 376)(102, 318, 162, 378, 204, 420, 177, 393, 209, 425, 216, 432, 200, 416, 154, 370, 199, 415, 153, 369, 104, 320, 163, 379)(433, 649)(434, 650)(435, 651)(436, 652)(437, 653)(438, 654)(439, 655)(440, 656)(441, 657)(442, 658)(443, 659)(444, 660)(445, 661)(446, 662)(447, 663)(448, 664)(449, 665)(450, 666)(451, 667)(452, 668)(453, 669)(454, 670)(455, 671)(456, 672)(457, 673)(458, 674)(459, 675)(460, 676)(461, 677)(462, 678)(463, 679)(464, 680)(465, 681)(466, 682)(467, 683)(468, 684)(469, 685)(470, 686)(471, 687)(472, 688)(473, 689)(474, 690)(475, 691)(476, 692)(477, 693)(478, 694)(479, 695)(480, 696)(481, 697)(482, 698)(483, 699)(484, 700)(485, 701)(486, 702)(487, 703)(488, 704)(489, 705)(490, 706)(491, 707)(492, 708)(493, 709)(494, 710)(495, 711)(496, 712)(497, 713)(498, 714)(499, 715)(500, 716)(501, 717)(502, 718)(503, 719)(504, 720)(505, 721)(506, 722)(507, 723)(508, 724)(509, 725)(510, 726)(511, 727)(512, 728)(513, 729)(514, 730)(515, 731)(516, 732)(517, 733)(518, 734)(519, 735)(520, 736)(521, 737)(522, 738)(523, 739)(524, 740)(525, 741)(526, 742)(527, 743)(528, 744)(529, 745)(530, 746)(531, 747)(532, 748)(533, 749)(534, 750)(535, 751)(536, 752)(537, 753)(538, 754)(539, 755)(540, 756)(541, 757)(542, 758)(543, 759)(544, 760)(545, 761)(546, 762)(547, 763)(548, 764)(549, 765)(550, 766)(551, 767)(552, 768)(553, 769)(554, 770)(555, 771)(556, 772)(557, 773)(558, 774)(559, 775)(560, 776)(561, 777)(562, 778)(563, 779)(564, 780)(565, 781)(566, 782)(567, 783)(568, 784)(569, 785)(570, 786)(571, 787)(572, 788)(573, 789)(574, 790)(575, 791)(576, 792)(577, 793)(578, 794)(579, 795)(580, 796)(581, 797)(582, 798)(583, 799)(584, 800)(585, 801)(586, 802)(587, 803)(588, 804)(589, 805)(590, 806)(591, 807)(592, 808)(593, 809)(594, 810)(595, 811)(596, 812)(597, 813)(598, 814)(599, 815)(600, 816)(601, 817)(602, 818)(603, 819)(604, 820)(605, 821)(606, 822)(607, 823)(608, 824)(609, 825)(610, 826)(611, 827)(612, 828)(613, 829)(614, 830)(615, 831)(616, 832)(617, 833)(618, 834)(619, 835)(620, 836)(621, 837)(622, 838)(623, 839)(624, 840)(625, 841)(626, 842)(627, 843)(628, 844)(629, 845)(630, 846)(631, 847)(632, 848)(633, 849)(634, 850)(635, 851)(636, 852)(637, 853)(638, 854)(639, 855)(640, 856)(641, 857)(642, 858)(643, 859)(644, 860)(645, 861)(646, 862)(647, 863)(648, 864)
	L = (1, 435)(2, 438)(3, 433)(4, 441)(5, 444)(6, 434)(7, 448)(8, 449)(9, 436)(10, 453)(11, 456)(12, 437)(13, 460)(14, 461)(15, 464)(16, 439)(17, 440)(18, 469)(19, 472)(20, 473)(21, 442)(22, 477)(23, 480)(24, 443)(25, 484)(26, 485)(27, 488)(28, 445)(29, 446)(30, 493)(31, 496)(32, 447)(33, 498)(34, 499)(35, 501)(36, 502)(37, 450)(38, 505)(39, 497)(40, 451)(41, 452)(42, 504)(43, 500)(44, 503)(45, 454)(46, 515)(47, 518)(48, 455)(49, 522)(50, 523)(51, 526)(52, 457)(53, 458)(54, 529)(55, 532)(56, 459)(57, 533)(58, 534)(59, 535)(60, 536)(61, 462)(62, 537)(63, 540)(64, 463)(65, 471)(66, 465)(67, 466)(68, 475)(69, 467)(70, 468)(71, 476)(72, 474)(73, 470)(74, 554)(75, 557)(76, 558)(77, 544)(78, 561)(79, 543)(80, 551)(81, 559)(82, 560)(83, 478)(84, 569)(85, 570)(86, 479)(87, 574)(88, 575)(89, 578)(90, 481)(91, 482)(92, 581)(93, 584)(94, 483)(95, 585)(96, 586)(97, 486)(98, 587)(99, 590)(100, 487)(101, 489)(102, 490)(103, 491)(104, 492)(105, 494)(106, 599)(107, 601)(108, 495)(109, 603)(110, 604)(111, 511)(112, 509)(113, 607)(114, 608)(115, 591)(116, 609)(117, 579)(118, 594)(119, 512)(120, 611)(121, 593)(122, 506)(123, 616)(124, 602)(125, 507)(126, 508)(127, 513)(128, 514)(129, 510)(130, 615)(131, 605)(132, 614)(133, 606)(134, 613)(135, 610)(136, 612)(137, 516)(138, 517)(139, 620)(140, 621)(141, 622)(142, 519)(143, 520)(144, 625)(145, 626)(146, 521)(147, 549)(148, 627)(149, 524)(150, 628)(151, 629)(152, 525)(153, 527)(154, 528)(155, 530)(156, 634)(157, 635)(158, 531)(159, 547)(160, 636)(161, 553)(162, 550)(163, 630)(164, 623)(165, 637)(166, 631)(167, 538)(168, 638)(169, 539)(170, 556)(171, 541)(172, 542)(173, 563)(174, 565)(175, 545)(176, 546)(177, 548)(178, 567)(179, 552)(180, 568)(181, 566)(182, 564)(183, 562)(184, 555)(185, 643)(186, 639)(187, 640)(188, 571)(189, 572)(190, 573)(191, 596)(192, 646)(193, 576)(194, 577)(195, 580)(196, 582)(197, 583)(198, 595)(199, 598)(200, 644)(201, 648)(202, 588)(203, 589)(204, 592)(205, 597)(206, 600)(207, 618)(208, 619)(209, 645)(210, 647)(211, 617)(212, 632)(213, 641)(214, 624)(215, 642)(216, 633)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3110
Graph:: simple bipartite
	v = 234 e = 432 f = 144
	degree seq :: [ 2^216, 24^18 ]

E28.3114 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x ((C6 x S3) : C2) (small group id <216, 122>)
Aut   = $<432, 602>$ (small group id <432, 602>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (R * Y2^-2 * Y1)^2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2 * Y1 * Y2^-1, Y2^12, (Y3 * Y2^-1)^6, (Y2^-5 * Y1 * Y2^-1)^2, (Y2^-4 * R * Y2^-2)^2 ]
Map::
	R = (1, 217, 2, 218)(3, 219, 7, 223)(4, 220, 9, 225)(5, 221, 11, 227)(6, 222, 13, 229)(8, 224, 17, 233)(10, 226, 21, 237)(12, 228, 25, 241)(14, 230, 29, 245)(15, 231, 31, 247)(16, 232, 33, 249)(18, 234, 37, 253)(19, 235, 39, 255)(20, 236, 41, 257)(22, 238, 45, 261)(23, 239, 47, 263)(24, 240, 49, 265)(26, 242, 53, 269)(27, 243, 55, 271)(28, 244, 57, 273)(30, 246, 61, 277)(32, 248, 51, 267)(34, 250, 59, 275)(35, 251, 48, 264)(36, 252, 56, 272)(38, 254, 73, 289)(40, 256, 52, 268)(42, 258, 60, 276)(43, 259, 50, 266)(44, 260, 58, 274)(46, 262, 83, 299)(54, 270, 95, 311)(62, 278, 105, 321)(63, 279, 99, 315)(64, 280, 108, 324)(65, 281, 109, 325)(66, 282, 111, 327)(67, 283, 113, 329)(68, 284, 114, 330)(69, 285, 91, 307)(70, 286, 101, 317)(71, 287, 107, 323)(72, 288, 112, 328)(74, 290, 122, 338)(75, 291, 124, 340)(76, 292, 126, 342)(77, 293, 85, 301)(78, 294, 129, 345)(79, 295, 92, 308)(80, 296, 102, 318)(81, 297, 125, 341)(82, 298, 128, 344)(84, 300, 137, 353)(86, 302, 139, 355)(87, 303, 140, 356)(88, 304, 142, 358)(89, 305, 144, 360)(90, 306, 145, 361)(93, 309, 138, 354)(94, 310, 143, 359)(96, 312, 153, 369)(97, 313, 155, 371)(98, 314, 157, 373)(100, 316, 160, 376)(103, 319, 156, 372)(104, 320, 159, 375)(106, 322, 168, 384)(110, 326, 151, 367)(115, 331, 166, 382)(116, 332, 149, 365)(117, 333, 164, 380)(118, 334, 147, 363)(119, 335, 162, 378)(120, 336, 141, 357)(121, 337, 158, 374)(123, 339, 154, 370)(127, 343, 152, 368)(130, 346, 167, 383)(131, 347, 150, 366)(132, 348, 165, 381)(133, 349, 148, 364)(134, 350, 163, 379)(135, 351, 146, 362)(136, 352, 161, 377)(169, 385, 198, 414)(170, 386, 194, 410)(171, 387, 191, 407)(172, 388, 190, 406)(173, 389, 205, 421)(174, 390, 207, 423)(175, 391, 189, 405)(176, 392, 210, 426)(177, 393, 200, 416)(178, 394, 197, 413)(179, 395, 188, 404)(180, 396, 209, 425)(181, 397, 196, 412)(182, 398, 201, 417)(183, 399, 204, 420)(184, 400, 208, 424)(185, 401, 202, 418)(186, 402, 192, 408)(187, 403, 211, 427)(193, 409, 212, 428)(195, 411, 215, 431)(199, 415, 214, 430)(203, 419, 213, 429)(206, 422, 216, 432)(433, 649, 435, 651, 440, 656, 450, 666, 470, 686, 506, 722, 555, 771, 516, 732, 478, 694, 454, 670, 442, 658, 436, 652)(434, 650, 437, 653, 444, 660, 458, 674, 486, 702, 528, 744, 586, 802, 538, 754, 494, 710, 462, 678, 446, 662, 438, 654)(439, 655, 447, 663, 464, 680, 497, 713, 542, 758, 603, 819, 569, 785, 608, 824, 547, 763, 500, 716, 466, 682, 448, 664)(441, 657, 451, 667, 472, 688, 508, 724, 559, 775, 616, 832, 554, 770, 615, 831, 562, 778, 510, 726, 474, 690, 452, 668)(443, 659, 455, 671, 480, 696, 519, 735, 573, 789, 622, 838, 600, 816, 627, 843, 578, 794, 522, 738, 482, 698, 456, 672)(445, 661, 459, 675, 488, 704, 530, 746, 590, 806, 635, 851, 585, 801, 634, 850, 593, 809, 532, 748, 490, 706, 460, 676)(449, 665, 467, 683, 501, 717, 548, 764, 609, 825, 568, 784, 515, 731, 567, 783, 610, 826, 549, 765, 502, 718, 468, 684)(453, 669, 475, 691, 511, 727, 563, 779, 614, 830, 553, 769, 505, 721, 552, 768, 613, 829, 564, 780, 512, 728, 476, 692)(457, 673, 483, 699, 523, 739, 579, 795, 628, 844, 599, 815, 537, 753, 598, 814, 629, 845, 580, 796, 524, 740, 484, 700)(461, 677, 491, 707, 533, 749, 594, 810, 633, 849, 584, 800, 527, 743, 583, 799, 632, 848, 595, 811, 534, 750, 492, 708)(463, 679, 495, 711, 539, 755, 587, 803, 636, 852, 648, 864, 642, 858, 618, 834, 557, 773, 507, 723, 471, 687, 496, 712)(465, 681, 498, 714, 544, 760, 605, 821, 640, 856, 644, 860, 623, 839, 574, 790, 560, 776, 509, 725, 473, 689, 499, 715)(469, 685, 503, 719, 550, 766, 611, 827, 566, 782, 514, 730, 477, 693, 513, 729, 565, 781, 612, 828, 551, 767, 504, 720)(479, 695, 517, 733, 570, 786, 556, 772, 617, 833, 643, 859, 647, 863, 637, 853, 588, 804, 529, 745, 487, 703, 518, 734)(481, 697, 520, 736, 575, 791, 624, 840, 645, 861, 639, 855, 604, 820, 543, 759, 591, 807, 531, 747, 489, 705, 521, 737)(485, 701, 525, 741, 581, 797, 630, 846, 597, 813, 536, 752, 493, 709, 535, 751, 596, 812, 631, 847, 582, 798, 526, 742)(540, 756, 592, 808, 626, 842, 577, 793, 625, 841, 646, 862, 638, 854, 589, 805, 621, 837, 572, 788, 545, 761, 601, 817)(541, 757, 576, 792, 620, 836, 571, 787, 561, 777, 607, 823, 546, 762, 606, 822, 641, 857, 619, 835, 558, 774, 602, 818)
	L = (1, 434)(2, 433)(3, 439)(4, 441)(5, 443)(6, 445)(7, 435)(8, 449)(9, 436)(10, 453)(11, 437)(12, 457)(13, 438)(14, 461)(15, 463)(16, 465)(17, 440)(18, 469)(19, 471)(20, 473)(21, 442)(22, 477)(23, 479)(24, 481)(25, 444)(26, 485)(27, 487)(28, 489)(29, 446)(30, 493)(31, 447)(32, 483)(33, 448)(34, 491)(35, 480)(36, 488)(37, 450)(38, 505)(39, 451)(40, 484)(41, 452)(42, 492)(43, 482)(44, 490)(45, 454)(46, 515)(47, 455)(48, 467)(49, 456)(50, 475)(51, 464)(52, 472)(53, 458)(54, 527)(55, 459)(56, 468)(57, 460)(58, 476)(59, 466)(60, 474)(61, 462)(62, 537)(63, 531)(64, 540)(65, 541)(66, 543)(67, 545)(68, 546)(69, 523)(70, 533)(71, 539)(72, 544)(73, 470)(74, 554)(75, 556)(76, 558)(77, 517)(78, 561)(79, 524)(80, 534)(81, 557)(82, 560)(83, 478)(84, 569)(85, 509)(86, 571)(87, 572)(88, 574)(89, 576)(90, 577)(91, 501)(92, 511)(93, 570)(94, 575)(95, 486)(96, 585)(97, 587)(98, 589)(99, 495)(100, 592)(101, 502)(102, 512)(103, 588)(104, 591)(105, 494)(106, 600)(107, 503)(108, 496)(109, 497)(110, 583)(111, 498)(112, 504)(113, 499)(114, 500)(115, 598)(116, 581)(117, 596)(118, 579)(119, 594)(120, 573)(121, 590)(122, 506)(123, 586)(124, 507)(125, 513)(126, 508)(127, 584)(128, 514)(129, 510)(130, 599)(131, 582)(132, 597)(133, 580)(134, 595)(135, 578)(136, 593)(137, 516)(138, 525)(139, 518)(140, 519)(141, 552)(142, 520)(143, 526)(144, 521)(145, 522)(146, 567)(147, 550)(148, 565)(149, 548)(150, 563)(151, 542)(152, 559)(153, 528)(154, 555)(155, 529)(156, 535)(157, 530)(158, 553)(159, 536)(160, 532)(161, 568)(162, 551)(163, 566)(164, 549)(165, 564)(166, 547)(167, 562)(168, 538)(169, 630)(170, 626)(171, 623)(172, 622)(173, 637)(174, 639)(175, 621)(176, 642)(177, 632)(178, 629)(179, 620)(180, 641)(181, 628)(182, 633)(183, 636)(184, 640)(185, 634)(186, 624)(187, 643)(188, 611)(189, 607)(190, 604)(191, 603)(192, 618)(193, 644)(194, 602)(195, 647)(196, 613)(197, 610)(198, 601)(199, 646)(200, 609)(201, 614)(202, 617)(203, 645)(204, 615)(205, 605)(206, 648)(207, 606)(208, 616)(209, 612)(210, 608)(211, 619)(212, 625)(213, 635)(214, 631)(215, 627)(216, 638)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3115
Graph:: bipartite
	v = 126 e = 432 f = 252
	degree seq :: [ 4^108, 24^18 ]

E28.3115 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x ((C6 x S3) : C2) (small group id <216, 122>)
Aut   = $<432, 602>$ (small group id <432, 602>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, Y1^6, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1^-1, Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^3 * Y3^-1 * Y1^2, (Y3^5 * Y1^-1)^2, (Y3 * Y2^-1)^12 ]
Map:: polytopal
	R = (1, 217, 2, 218, 6, 222, 16, 232, 13, 229, 4, 220)(3, 219, 9, 225, 23, 239, 55, 271, 29, 245, 11, 227)(5, 221, 14, 230, 34, 250, 49, 265, 20, 236, 7, 223)(8, 224, 21, 237, 50, 266, 84, 300, 42, 258, 17, 233)(10, 226, 25, 241, 41, 257, 81, 297, 64, 280, 27, 243)(12, 228, 30, 246, 68, 284, 115, 331, 65, 281, 32, 248)(15, 231, 37, 253, 44, 260, 87, 303, 69, 285, 35, 251)(18, 234, 43, 259, 85, 301, 129, 345, 78, 294, 39, 255)(19, 235, 45, 261, 77, 293, 71, 287, 31, 247, 47, 263)(22, 238, 53, 269, 80, 296, 56, 272, 24, 240, 51, 267)(26, 242, 60, 276, 101, 317, 132, 348, 110, 326, 62, 278)(28, 244, 48, 264, 83, 299, 128, 344, 111, 327, 66, 282)(33, 249, 40, 256, 79, 295, 130, 346, 112, 328, 63, 279)(36, 252, 52, 268, 86, 302, 131, 347, 99, 315, 57, 273)(38, 254, 75, 291, 121, 337, 127, 343, 89, 305, 74, 290)(46, 262, 90, 306, 73, 289, 116, 332, 147, 363, 92, 308)(54, 270, 97, 313, 149, 365, 113, 329, 133, 349, 96, 312)(58, 274, 102, 318, 135, 351, 82, 298, 59, 275, 95, 311)(61, 277, 106, 322, 134, 350, 175, 391, 163, 379, 108, 324)(67, 283, 100, 316, 136, 352, 94, 310, 148, 364, 109, 325)(70, 286, 117, 333, 138, 354, 88, 304, 139, 355, 119, 335)(72, 288, 120, 336, 137, 353, 114, 330, 146, 362, 93, 309)(76, 292, 125, 341, 140, 356, 178, 394, 164, 380, 124, 340)(91, 307, 143, 359, 172, 388, 167, 383, 118, 334, 145, 361)(98, 314, 153, 369, 173, 389, 156, 372, 103, 319, 152, 368)(104, 320, 151, 367, 174, 390, 155, 371, 105, 321, 150, 366)(107, 323, 161, 377, 189, 405, 202, 418, 188, 404, 154, 370)(122, 338, 142, 358, 123, 339, 141, 357, 177, 393, 165, 381)(126, 342, 166, 382, 199, 415, 205, 421, 180, 396, 171, 387)(144, 360, 183, 399, 168, 384, 198, 414, 206, 422, 179, 395)(157, 373, 191, 407, 203, 419, 186, 402, 158, 374, 187, 403)(159, 375, 190, 406, 201, 417, 176, 392, 160, 376, 185, 401)(162, 378, 184, 400, 204, 420, 214, 430, 213, 429, 192, 408)(169, 385, 181, 397, 170, 386, 197, 413, 200, 416, 182, 398)(193, 409, 207, 423, 215, 431, 212, 428, 194, 410, 208, 424)(195, 411, 209, 425, 216, 432, 211, 427, 196, 412, 210, 426)(433, 649)(434, 650)(435, 651)(436, 652)(437, 653)(438, 654)(439, 655)(440, 656)(441, 657)(442, 658)(443, 659)(444, 660)(445, 661)(446, 662)(447, 663)(448, 664)(449, 665)(450, 666)(451, 667)(452, 668)(453, 669)(454, 670)(455, 671)(456, 672)(457, 673)(458, 674)(459, 675)(460, 676)(461, 677)(462, 678)(463, 679)(464, 680)(465, 681)(466, 682)(467, 683)(468, 684)(469, 685)(470, 686)(471, 687)(472, 688)(473, 689)(474, 690)(475, 691)(476, 692)(477, 693)(478, 694)(479, 695)(480, 696)(481, 697)(482, 698)(483, 699)(484, 700)(485, 701)(486, 702)(487, 703)(488, 704)(489, 705)(490, 706)(491, 707)(492, 708)(493, 709)(494, 710)(495, 711)(496, 712)(497, 713)(498, 714)(499, 715)(500, 716)(501, 717)(502, 718)(503, 719)(504, 720)(505, 721)(506, 722)(507, 723)(508, 724)(509, 725)(510, 726)(511, 727)(512, 728)(513, 729)(514, 730)(515, 731)(516, 732)(517, 733)(518, 734)(519, 735)(520, 736)(521, 737)(522, 738)(523, 739)(524, 740)(525, 741)(526, 742)(527, 743)(528, 744)(529, 745)(530, 746)(531, 747)(532, 748)(533, 749)(534, 750)(535, 751)(536, 752)(537, 753)(538, 754)(539, 755)(540, 756)(541, 757)(542, 758)(543, 759)(544, 760)(545, 761)(546, 762)(547, 763)(548, 764)(549, 765)(550, 766)(551, 767)(552, 768)(553, 769)(554, 770)(555, 771)(556, 772)(557, 773)(558, 774)(559, 775)(560, 776)(561, 777)(562, 778)(563, 779)(564, 780)(565, 781)(566, 782)(567, 783)(568, 784)(569, 785)(570, 786)(571, 787)(572, 788)(573, 789)(574, 790)(575, 791)(576, 792)(577, 793)(578, 794)(579, 795)(580, 796)(581, 797)(582, 798)(583, 799)(584, 800)(585, 801)(586, 802)(587, 803)(588, 804)(589, 805)(590, 806)(591, 807)(592, 808)(593, 809)(594, 810)(595, 811)(596, 812)(597, 813)(598, 814)(599, 815)(600, 816)(601, 817)(602, 818)(603, 819)(604, 820)(605, 821)(606, 822)(607, 823)(608, 824)(609, 825)(610, 826)(611, 827)(612, 828)(613, 829)(614, 830)(615, 831)(616, 832)(617, 833)(618, 834)(619, 835)(620, 836)(621, 837)(622, 838)(623, 839)(624, 840)(625, 841)(626, 842)(627, 843)(628, 844)(629, 845)(630, 846)(631, 847)(632, 848)(633, 849)(634, 850)(635, 851)(636, 852)(637, 853)(638, 854)(639, 855)(640, 856)(641, 857)(642, 858)(643, 859)(644, 860)(645, 861)(646, 862)(647, 863)(648, 864)
	L = (1, 435)(2, 439)(3, 442)(4, 444)(5, 433)(6, 449)(7, 451)(8, 434)(9, 436)(10, 458)(11, 460)(12, 463)(13, 465)(14, 467)(15, 437)(16, 471)(17, 473)(18, 438)(19, 478)(20, 480)(21, 483)(22, 440)(23, 488)(24, 441)(25, 443)(26, 493)(27, 495)(28, 497)(29, 499)(30, 445)(31, 502)(32, 498)(33, 496)(34, 489)(35, 505)(36, 446)(37, 506)(38, 447)(39, 509)(40, 448)(41, 514)(42, 515)(43, 469)(44, 450)(45, 452)(46, 523)(47, 464)(48, 461)(49, 525)(50, 468)(51, 527)(52, 453)(53, 528)(54, 454)(55, 531)(56, 533)(57, 455)(58, 456)(59, 457)(60, 459)(61, 539)(62, 541)(63, 543)(64, 545)(65, 546)(66, 544)(67, 542)(68, 519)(69, 462)(70, 550)(71, 510)(72, 466)(73, 554)(74, 555)(75, 556)(76, 470)(77, 559)(78, 560)(79, 485)(80, 472)(81, 474)(82, 566)(83, 481)(84, 568)(85, 484)(86, 475)(87, 570)(88, 476)(89, 477)(90, 479)(91, 576)(92, 578)(93, 579)(94, 482)(95, 582)(96, 583)(97, 584)(98, 486)(99, 500)(100, 487)(101, 587)(102, 588)(103, 490)(104, 491)(105, 492)(106, 494)(107, 594)(108, 581)(109, 562)(110, 585)(111, 561)(112, 580)(113, 595)(114, 571)(115, 563)(116, 501)(117, 503)(118, 598)(119, 569)(120, 507)(121, 504)(122, 600)(123, 601)(124, 602)(125, 603)(126, 508)(127, 604)(128, 516)(129, 552)(130, 518)(131, 511)(132, 512)(133, 513)(134, 608)(135, 532)(136, 534)(137, 517)(138, 609)(139, 557)(140, 520)(141, 521)(142, 522)(143, 524)(144, 616)(145, 551)(146, 547)(147, 610)(148, 529)(149, 526)(150, 617)(151, 618)(152, 619)(153, 620)(154, 530)(155, 621)(156, 622)(157, 535)(158, 536)(159, 537)(160, 538)(161, 540)(162, 558)(163, 623)(164, 548)(165, 549)(166, 624)(167, 553)(168, 628)(169, 627)(170, 626)(171, 625)(172, 632)(173, 564)(174, 565)(175, 567)(176, 636)(177, 637)(178, 638)(179, 572)(180, 573)(181, 574)(182, 575)(183, 577)(184, 586)(185, 642)(186, 641)(187, 640)(188, 639)(189, 643)(190, 644)(191, 645)(192, 589)(193, 590)(194, 591)(195, 592)(196, 593)(197, 596)(198, 597)(199, 599)(200, 646)(201, 605)(202, 606)(203, 607)(204, 611)(205, 648)(206, 647)(207, 612)(208, 613)(209, 614)(210, 615)(211, 631)(212, 630)(213, 629)(214, 633)(215, 634)(216, 635)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.3114
Graph:: simple bipartite
	v = 252 e = 432 f = 126
	degree seq :: [ 2^216, 12^36 ]

E28.3116 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 12})
Quotient :: regular
Aut^+ = C3 x ((S3 x S3) : C2) (small group id <216, 157>)
Aut   = $<432, 741>$ (small group id <432, 741>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1 * T2 * T1^-1)^2, T1^-2 * T2 * T1^4 * T2 * T1^-2, (T2 * T1^-1)^6, T1^12, T2 * T1^-3 * T2 * T1 * T2 * T1 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 45, 80, 79, 44, 22, 10, 4)(3, 7, 15, 31, 46, 82, 129, 115, 70, 37, 18, 8)(6, 13, 27, 53, 81, 128, 126, 78, 43, 58, 30, 14)(9, 19, 38, 48, 24, 47, 83, 131, 122, 75, 40, 20)(12, 25, 49, 86, 127, 125, 77, 42, 21, 41, 52, 26)(16, 33, 62, 91, 130, 180, 168, 114, 69, 97, 56, 29)(17, 34, 64, 101, 59, 84, 133, 184, 164, 111, 66, 35)(28, 55, 94, 135, 178, 174, 123, 76, 100, 141, 89, 51)(32, 60, 102, 154, 179, 167, 113, 68, 36, 67, 105, 61)(39, 72, 118, 134, 85, 50, 88, 138, 181, 172, 119, 73)(54, 92, 144, 196, 177, 202, 152, 99, 57, 98, 147, 93)(63, 107, 159, 204, 210, 186, 165, 112, 150, 191, 156, 104)(65, 109, 162, 203, 153, 103, 151, 193, 212, 198, 146, 95)(71, 116, 169, 183, 132, 182, 173, 121, 74, 120, 170, 117)(87, 136, 187, 176, 124, 175, 195, 143, 90, 142, 190, 137)(96, 149, 200, 158, 106, 145, 194, 171, 209, 214, 189, 139)(108, 160, 207, 211, 185, 140, 192, 163, 110, 148, 188, 161)(155, 205, 213, 199, 166, 208, 216, 197, 157, 206, 215, 201)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 34)(20, 39)(22, 43)(23, 46)(25, 50)(26, 51)(27, 54)(30, 57)(31, 59)(33, 63)(35, 65)(37, 69)(38, 71)(40, 74)(41, 72)(42, 76)(44, 70)(45, 81)(47, 84)(48, 85)(49, 87)(52, 90)(53, 91)(55, 95)(56, 96)(58, 100)(60, 103)(61, 104)(62, 106)(64, 108)(66, 110)(67, 109)(68, 112)(73, 107)(75, 111)(77, 124)(78, 114)(79, 122)(80, 127)(82, 130)(83, 132)(86, 135)(88, 139)(89, 140)(92, 145)(93, 146)(94, 148)(97, 150)(98, 149)(99, 151)(101, 153)(102, 155)(105, 157)(113, 166)(115, 164)(116, 165)(117, 161)(118, 171)(119, 158)(120, 159)(121, 163)(123, 160)(125, 172)(126, 177)(128, 178)(129, 179)(131, 181)(133, 185)(134, 186)(136, 188)(137, 189)(138, 191)(141, 193)(142, 192)(143, 194)(144, 197)(147, 199)(152, 201)(154, 204)(156, 182)(162, 196)(167, 198)(168, 209)(169, 208)(170, 205)(173, 206)(174, 203)(175, 207)(176, 200)(180, 210)(183, 211)(184, 212)(187, 213)(190, 215)(195, 216)(202, 214)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E28.3117
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 12^18 ]

E28.3117 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 12})
Quotient :: regular
Aut^+ = C3 x ((S3 x S3) : C2) (small group id <216, 157>)
Aut   = $<432, 741>$ (small group id <432, 741>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T2 * T1 * T2 * T1^-1)^2, T2 * T1^-2 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^2, T2 * T1^-3 * T2 * T1^3 * T2 * T1^3 * T2 * T1^-3, (T1^-1 * T2)^12 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 29, 18, 8)(6, 13, 25, 46, 28, 14)(9, 19, 35, 61, 37, 20)(12, 23, 42, 73, 45, 24)(16, 31, 54, 84, 49, 27)(17, 32, 56, 94, 58, 33)(21, 38, 66, 107, 68, 39)(22, 40, 69, 109, 72, 41)(26, 48, 81, 119, 76, 44)(30, 52, 74, 115, 91, 53)(34, 59, 77, 120, 100, 60)(36, 63, 103, 148, 105, 64)(43, 75, 116, 158, 112, 71)(47, 79, 110, 102, 62, 80)(50, 85, 113, 106, 65, 86)(51, 87, 131, 154, 134, 88)(55, 93, 125, 172, 135, 90)(57, 96, 141, 184, 143, 97)(67, 70, 111, 155, 153, 108)(78, 121, 167, 152, 170, 122)(82, 126, 162, 196, 171, 124)(83, 127, 174, 144, 98, 128)(89, 117, 163, 191, 179, 133)(92, 136, 177, 140, 95, 137)(99, 132, 178, 194, 187, 145)(101, 146, 160, 114, 159, 147)(104, 130, 168, 201, 190, 150)(118, 164, 198, 176, 129, 165)(123, 156, 192, 189, 202, 169)(138, 173, 197, 211, 207, 181)(139, 182, 195, 161, 149, 183)(142, 175, 199, 212, 210, 185)(151, 188, 200, 166, 193, 157)(180, 205, 213, 209, 216, 204)(186, 208, 214, 203, 215, 206)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 34)(19, 32)(20, 36)(23, 43)(24, 44)(25, 47)(28, 50)(29, 51)(31, 55)(33, 57)(35, 62)(37, 65)(38, 63)(39, 67)(40, 70)(41, 71)(42, 74)(45, 77)(46, 78)(48, 82)(49, 83)(52, 89)(53, 90)(54, 92)(56, 95)(58, 98)(59, 96)(60, 99)(61, 101)(64, 104)(66, 91)(68, 100)(69, 110)(72, 113)(73, 114)(75, 117)(76, 118)(79, 123)(80, 124)(81, 125)(84, 129)(85, 127)(86, 130)(87, 132)(88, 133)(93, 138)(94, 139)(97, 142)(102, 140)(103, 149)(105, 143)(106, 151)(107, 152)(108, 145)(109, 154)(111, 156)(112, 157)(115, 161)(116, 162)(119, 166)(120, 164)(121, 168)(122, 169)(126, 173)(128, 175)(131, 177)(134, 174)(135, 167)(136, 180)(137, 181)(141, 159)(144, 186)(146, 188)(147, 171)(148, 189)(150, 185)(153, 190)(155, 191)(158, 194)(160, 195)(163, 197)(165, 199)(170, 198)(172, 203)(176, 204)(178, 205)(179, 206)(182, 208)(183, 207)(184, 209)(187, 210)(192, 211)(193, 212)(196, 213)(200, 214)(201, 215)(202, 216)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.3116
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 36 e = 108 f = 18
	degree seq :: [ 6^36 ]

E28.3118 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 12})
Quotient :: edge
Aut^+ = C3 x ((S3 x S3) : C2) (small group id <216, 157>)
Aut   = $<432, 741>$ (small group id <432, 741>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T1 * T2 * T1 * T2^-1)^2, T2^-1 * T1 * T2^-2 * T1 * T2^2 * T1 * T2^2 * T1 * T2^-1, (T2^-3 * T1)^4, (T2^-1 * T1)^12 ]
Map:: polytopal
	R = (1, 3, 8, 18, 10, 4)(2, 5, 12, 25, 14, 6)(7, 15, 30, 54, 31, 16)(9, 19, 35, 62, 37, 20)(11, 22, 41, 72, 42, 23)(13, 26, 46, 80, 48, 27)(17, 32, 57, 97, 58, 33)(21, 38, 66, 107, 68, 39)(24, 43, 75, 119, 76, 44)(28, 49, 84, 129, 86, 50)(29, 51, 88, 133, 89, 52)(34, 59, 99, 145, 100, 60)(36, 63, 103, 149, 105, 64)(40, 69, 110, 156, 111, 70)(45, 77, 121, 168, 122, 78)(47, 81, 125, 172, 127, 82)(53, 90, 136, 101, 61, 91)(55, 93, 139, 106, 65, 94)(56, 95, 141, 184, 142, 96)(67, 98, 144, 187, 153, 108)(71, 112, 159, 123, 79, 113)(73, 115, 162, 128, 83, 116)(74, 117, 164, 198, 165, 118)(85, 120, 167, 201, 176, 130)(87, 131, 177, 205, 178, 132)(92, 137, 157, 152, 183, 138)(102, 146, 186, 143, 171, 147)(104, 140, 182, 210, 190, 150)(109, 154, 191, 211, 192, 155)(114, 160, 134, 175, 197, 161)(124, 169, 200, 166, 148, 170)(126, 163, 196, 216, 204, 173)(135, 180, 208, 189, 209, 181)(151, 188, 207, 179, 206, 185)(158, 194, 214, 203, 215, 195)(174, 202, 213, 193, 212, 199)(217, 218)(219, 223)(220, 225)(221, 227)(222, 229)(224, 233)(226, 237)(228, 240)(230, 244)(231, 245)(232, 239)(234, 250)(235, 242)(236, 252)(238, 256)(241, 261)(243, 263)(246, 269)(247, 271)(248, 272)(249, 268)(251, 277)(253, 281)(254, 279)(255, 283)(257, 287)(258, 289)(259, 290)(260, 286)(262, 295)(264, 299)(265, 297)(266, 301)(267, 303)(270, 308)(273, 291)(274, 300)(275, 314)(276, 312)(278, 318)(280, 320)(282, 292)(284, 302)(285, 325)(288, 330)(293, 336)(294, 334)(296, 340)(298, 342)(304, 326)(305, 350)(306, 351)(307, 348)(309, 331)(310, 356)(311, 333)(313, 359)(315, 352)(316, 355)(317, 339)(319, 364)(321, 343)(322, 367)(323, 368)(324, 346)(327, 373)(328, 374)(329, 371)(332, 379)(335, 382)(337, 375)(338, 378)(341, 387)(344, 390)(345, 391)(347, 370)(349, 395)(353, 398)(354, 397)(357, 393)(358, 401)(360, 396)(361, 384)(362, 404)(363, 394)(365, 405)(366, 389)(369, 406)(372, 409)(376, 412)(377, 411)(380, 407)(381, 415)(383, 410)(385, 418)(386, 408)(388, 419)(392, 420)(399, 413)(400, 417)(402, 416)(403, 414)(421, 430)(422, 432)(423, 429)(424, 427)(425, 431)(426, 428)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 24, 24 ), ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E28.3122
Transitivity :: ET+
Graph:: simple bipartite
	v = 144 e = 216 f = 18
	degree seq :: [ 2^108, 6^36 ]

E28.3119 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 12})
Quotient :: edge
Aut^+ = C3 x ((S3 x S3) : C2) (small group id <216, 157>)
Aut   = $<432, 741>$ (small group id <432, 741>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T1)^2, (F * T2)^2, T1^6, (T1^-1 * T2^-2 * T1^-1)^2, T2 * T1^-1 * T2^-5 * T1^-1 * T2^2, T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-2 * T2 * T1^-1, T2 * T1^-1 * T2^-5 * T1^-1 * T2^2, (T2 * T1^-2)^4, T1^-1 * T2^3 * T1^-1 * T2^7, T2^-2 * T1 * T2^2 * T1^-2 * T2 * T1^-1 * T2 * T1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 26, 62, 128, 169, 115, 85, 38, 15, 5)(2, 7, 19, 46, 100, 63, 130, 171, 116, 54, 22, 8)(4, 12, 31, 71, 129, 184, 112, 84, 122, 58, 24, 9)(6, 17, 41, 90, 161, 101, 65, 134, 172, 98, 44, 18)(11, 28, 67, 136, 195, 151, 83, 37, 82, 126, 60, 25)(13, 33, 75, 137, 196, 149, 81, 121, 192, 124, 59, 30)(14, 35, 42, 92, 61, 27, 64, 132, 170, 97, 80, 36)(16, 39, 86, 152, 202, 162, 103, 176, 207, 159, 89, 40)(20, 48, 105, 72, 131, 186, 114, 53, 113, 56, 23, 45)(21, 51, 87, 154, 99, 47, 102, 174, 206, 158, 111, 52)(29, 69, 140, 198, 147, 78, 34, 77, 145, 181, 127, 66)(32, 73, 142, 153, 203, 191, 120, 57, 119, 157, 88, 70)(43, 95, 76, 139, 160, 91, 163, 209, 193, 123, 168, 96)(49, 107, 178, 215, 182, 109, 50, 108, 180, 141, 173, 104)(55, 117, 187, 146, 177, 106, 74, 144, 185, 216, 189, 118)(68, 138, 199, 150, 201, 210, 194, 125, 167, 213, 188, 135)(79, 148, 179, 208, 164, 93, 165, 211, 197, 133, 166, 94)(110, 183, 212, 200, 143, 155, 204, 190, 214, 175, 205, 156)(217, 218, 222, 232, 229, 220)(219, 225, 239, 271, 245, 227)(221, 230, 250, 265, 236, 223)(224, 237, 266, 309, 258, 233)(226, 241, 275, 339, 281, 243)(228, 246, 276, 341, 290, 248)(231, 253, 297, 307, 257, 251)(234, 259, 310, 371, 303, 255)(235, 261, 240, 273, 319, 263)(238, 269, 328, 369, 302, 267)(242, 277, 343, 398, 347, 279)(244, 282, 308, 380, 355, 284)(247, 286, 305, 374, 346, 288)(249, 256, 304, 372, 354, 292)(252, 295, 312, 383, 342, 293)(254, 300, 330, 401, 361, 298)(260, 313, 385, 352, 291, 311)(262, 315, 389, 349, 280, 317)(264, 320, 370, 359, 289, 322)(268, 326, 373, 333, 272, 324)(270, 331, 386, 356, 396, 329)(274, 337, 299, 366, 403, 335)(278, 316, 377, 418, 412, 345)(283, 351, 405, 419, 400, 353)(285, 334, 404, 420, 382, 357)(287, 321, 393, 363, 411, 344)(294, 362, 415, 421, 395, 323)(296, 314, 387, 422, 394, 364)(301, 332, 388, 423, 408, 338)(306, 376, 424, 391, 318, 378)(325, 397, 360, 410, 428, 381)(327, 375, 350, 409, 427, 399)(336, 406, 429, 384, 340, 392)(348, 413, 425, 417, 367, 414)(358, 416, 426, 379, 365, 368)(390, 430, 407, 432, 402, 431)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4^6 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E28.3123
Transitivity :: ET+
Graph:: simple bipartite
	v = 54 e = 216 f = 108
	degree seq :: [ 6^36, 12^18 ]

E28.3120 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 12})
Quotient :: edge
Aut^+ = C3 x ((S3 x S3) : C2) (small group id <216, 157>)
Aut   = $<432, 741>$ (small group id <432, 741>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1 * T2 * T1^-1)^2, T1^-2 * T2 * T1^4 * T2 * T1^-2, (T2 * T1^-1)^6, T1^12, T2 * T1^-3 * T2 * T1 * T2 * T1 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-2 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 34)(20, 39)(22, 43)(23, 46)(25, 50)(26, 51)(27, 54)(30, 57)(31, 59)(33, 63)(35, 65)(37, 69)(38, 71)(40, 74)(41, 72)(42, 76)(44, 70)(45, 81)(47, 84)(48, 85)(49, 87)(52, 90)(53, 91)(55, 95)(56, 96)(58, 100)(60, 103)(61, 104)(62, 106)(64, 108)(66, 110)(67, 109)(68, 112)(73, 107)(75, 111)(77, 124)(78, 114)(79, 122)(80, 127)(82, 130)(83, 132)(86, 135)(88, 139)(89, 140)(92, 145)(93, 146)(94, 148)(97, 150)(98, 149)(99, 151)(101, 153)(102, 155)(105, 157)(113, 166)(115, 164)(116, 165)(117, 161)(118, 171)(119, 158)(120, 159)(121, 163)(123, 160)(125, 172)(126, 177)(128, 178)(129, 179)(131, 181)(133, 185)(134, 186)(136, 188)(137, 189)(138, 191)(141, 193)(142, 192)(143, 194)(144, 197)(147, 199)(152, 201)(154, 204)(156, 182)(162, 196)(167, 198)(168, 209)(169, 208)(170, 205)(173, 206)(174, 203)(175, 207)(176, 200)(180, 210)(183, 211)(184, 212)(187, 213)(190, 215)(195, 216)(202, 214)(217, 218, 221, 227, 239, 261, 296, 295, 260, 238, 226, 220)(219, 223, 231, 247, 262, 298, 345, 331, 286, 253, 234, 224)(222, 229, 243, 269, 297, 344, 342, 294, 259, 274, 246, 230)(225, 235, 254, 264, 240, 263, 299, 347, 338, 291, 256, 236)(228, 241, 265, 302, 343, 341, 293, 258, 237, 257, 268, 242)(232, 249, 278, 307, 346, 396, 384, 330, 285, 313, 272, 245)(233, 250, 280, 317, 275, 300, 349, 400, 380, 327, 282, 251)(244, 271, 310, 351, 394, 390, 339, 292, 316, 357, 305, 267)(248, 276, 318, 370, 395, 383, 329, 284, 252, 283, 321, 277)(255, 288, 334, 350, 301, 266, 304, 354, 397, 388, 335, 289)(270, 308, 360, 412, 393, 418, 368, 315, 273, 314, 363, 309)(279, 323, 375, 420, 426, 402, 381, 328, 366, 407, 372, 320)(281, 325, 378, 419, 369, 319, 367, 409, 428, 414, 362, 311)(287, 332, 385, 399, 348, 398, 389, 337, 290, 336, 386, 333)(303, 352, 403, 392, 340, 391, 411, 359, 306, 358, 406, 353)(312, 365, 416, 374, 322, 361, 410, 387, 425, 430, 405, 355)(324, 376, 423, 427, 401, 356, 408, 379, 326, 364, 404, 377)(371, 421, 429, 415, 382, 424, 432, 413, 373, 422, 431, 417)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 12, 12 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E28.3121
Transitivity :: ET+
Graph:: simple bipartite
	v = 126 e = 216 f = 36
	degree seq :: [ 2^108, 12^18 ]

E28.3121 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 12})
Quotient :: loop
Aut^+ = C3 x ((S3 x S3) : C2) (small group id <216, 157>)
Aut   = $<432, 741>$ (small group id <432, 741>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T1 * T2 * T1 * T2^-1)^2, T2^-1 * T1 * T2^-2 * T1 * T2^2 * T1 * T2^2 * T1 * T2^-1, (T2^-3 * T1)^4, (T2^-1 * T1)^12 ]
Map::
	R = (1, 217, 3, 219, 8, 224, 18, 234, 10, 226, 4, 220)(2, 218, 5, 221, 12, 228, 25, 241, 14, 230, 6, 222)(7, 223, 15, 231, 30, 246, 54, 270, 31, 247, 16, 232)(9, 225, 19, 235, 35, 251, 62, 278, 37, 253, 20, 236)(11, 227, 22, 238, 41, 257, 72, 288, 42, 258, 23, 239)(13, 229, 26, 242, 46, 262, 80, 296, 48, 264, 27, 243)(17, 233, 32, 248, 57, 273, 97, 313, 58, 274, 33, 249)(21, 237, 38, 254, 66, 282, 107, 323, 68, 284, 39, 255)(24, 240, 43, 259, 75, 291, 119, 335, 76, 292, 44, 260)(28, 244, 49, 265, 84, 300, 129, 345, 86, 302, 50, 266)(29, 245, 51, 267, 88, 304, 133, 349, 89, 305, 52, 268)(34, 250, 59, 275, 99, 315, 145, 361, 100, 316, 60, 276)(36, 252, 63, 279, 103, 319, 149, 365, 105, 321, 64, 280)(40, 256, 69, 285, 110, 326, 156, 372, 111, 327, 70, 286)(45, 261, 77, 293, 121, 337, 168, 384, 122, 338, 78, 294)(47, 263, 81, 297, 125, 341, 172, 388, 127, 343, 82, 298)(53, 269, 90, 306, 136, 352, 101, 317, 61, 277, 91, 307)(55, 271, 93, 309, 139, 355, 106, 322, 65, 281, 94, 310)(56, 272, 95, 311, 141, 357, 184, 400, 142, 358, 96, 312)(67, 283, 98, 314, 144, 360, 187, 403, 153, 369, 108, 324)(71, 287, 112, 328, 159, 375, 123, 339, 79, 295, 113, 329)(73, 289, 115, 331, 162, 378, 128, 344, 83, 299, 116, 332)(74, 290, 117, 333, 164, 380, 198, 414, 165, 381, 118, 334)(85, 301, 120, 336, 167, 383, 201, 417, 176, 392, 130, 346)(87, 303, 131, 347, 177, 393, 205, 421, 178, 394, 132, 348)(92, 308, 137, 353, 157, 373, 152, 368, 183, 399, 138, 354)(102, 318, 146, 362, 186, 402, 143, 359, 171, 387, 147, 363)(104, 320, 140, 356, 182, 398, 210, 426, 190, 406, 150, 366)(109, 325, 154, 370, 191, 407, 211, 427, 192, 408, 155, 371)(114, 330, 160, 376, 134, 350, 175, 391, 197, 413, 161, 377)(124, 340, 169, 385, 200, 416, 166, 382, 148, 364, 170, 386)(126, 342, 163, 379, 196, 412, 216, 432, 204, 420, 173, 389)(135, 351, 180, 396, 208, 424, 189, 405, 209, 425, 181, 397)(151, 367, 188, 404, 207, 423, 179, 395, 206, 422, 185, 401)(158, 374, 194, 410, 214, 430, 203, 419, 215, 431, 195, 411)(174, 390, 202, 418, 213, 429, 193, 409, 212, 428, 199, 415)
	L = (1, 218)(2, 217)(3, 223)(4, 225)(5, 227)(6, 229)(7, 219)(8, 233)(9, 220)(10, 237)(11, 221)(12, 240)(13, 222)(14, 244)(15, 245)(16, 239)(17, 224)(18, 250)(19, 242)(20, 252)(21, 226)(22, 256)(23, 232)(24, 228)(25, 261)(26, 235)(27, 263)(28, 230)(29, 231)(30, 269)(31, 271)(32, 272)(33, 268)(34, 234)(35, 277)(36, 236)(37, 281)(38, 279)(39, 283)(40, 238)(41, 287)(42, 289)(43, 290)(44, 286)(45, 241)(46, 295)(47, 243)(48, 299)(49, 297)(50, 301)(51, 303)(52, 249)(53, 246)(54, 308)(55, 247)(56, 248)(57, 291)(58, 300)(59, 314)(60, 312)(61, 251)(62, 318)(63, 254)(64, 320)(65, 253)(66, 292)(67, 255)(68, 302)(69, 325)(70, 260)(71, 257)(72, 330)(73, 258)(74, 259)(75, 273)(76, 282)(77, 336)(78, 334)(79, 262)(80, 340)(81, 265)(82, 342)(83, 264)(84, 274)(85, 266)(86, 284)(87, 267)(88, 326)(89, 350)(90, 351)(91, 348)(92, 270)(93, 331)(94, 356)(95, 333)(96, 276)(97, 359)(98, 275)(99, 352)(100, 355)(101, 339)(102, 278)(103, 364)(104, 280)(105, 343)(106, 367)(107, 368)(108, 346)(109, 285)(110, 304)(111, 373)(112, 374)(113, 371)(114, 288)(115, 309)(116, 379)(117, 311)(118, 294)(119, 382)(120, 293)(121, 375)(122, 378)(123, 317)(124, 296)(125, 387)(126, 298)(127, 321)(128, 390)(129, 391)(130, 324)(131, 370)(132, 307)(133, 395)(134, 305)(135, 306)(136, 315)(137, 398)(138, 397)(139, 316)(140, 310)(141, 393)(142, 401)(143, 313)(144, 396)(145, 384)(146, 404)(147, 394)(148, 319)(149, 405)(150, 389)(151, 322)(152, 323)(153, 406)(154, 347)(155, 329)(156, 409)(157, 327)(158, 328)(159, 337)(160, 412)(161, 411)(162, 338)(163, 332)(164, 407)(165, 415)(166, 335)(167, 410)(168, 361)(169, 418)(170, 408)(171, 341)(172, 419)(173, 366)(174, 344)(175, 345)(176, 420)(177, 357)(178, 363)(179, 349)(180, 360)(181, 354)(182, 353)(183, 413)(184, 417)(185, 358)(186, 416)(187, 414)(188, 362)(189, 365)(190, 369)(191, 380)(192, 386)(193, 372)(194, 383)(195, 377)(196, 376)(197, 399)(198, 403)(199, 381)(200, 402)(201, 400)(202, 385)(203, 388)(204, 392)(205, 430)(206, 432)(207, 429)(208, 427)(209, 431)(210, 428)(211, 424)(212, 426)(213, 423)(214, 421)(215, 425)(216, 422)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3120
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 36 e = 216 f = 126
	degree seq :: [ 12^36 ]

E28.3122 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 12})
Quotient :: loop
Aut^+ = C3 x ((S3 x S3) : C2) (small group id <216, 157>)
Aut   = $<432, 741>$ (small group id <432, 741>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T1)^2, (F * T2)^2, T1^6, (T1^-1 * T2^-2 * T1^-1)^2, T2 * T1^-1 * T2^-5 * T1^-1 * T2^2, T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-2 * T2 * T1^-1, T2 * T1^-1 * T2^-5 * T1^-1 * T2^2, (T2 * T1^-2)^4, T1^-1 * T2^3 * T1^-1 * T2^7, T2^-2 * T1 * T2^2 * T1^-2 * T2 * T1^-1 * T2 * T1^-2 ]
Map::
	R = (1, 217, 3, 219, 10, 226, 26, 242, 62, 278, 128, 344, 169, 385, 115, 331, 85, 301, 38, 254, 15, 231, 5, 221)(2, 218, 7, 223, 19, 235, 46, 262, 100, 316, 63, 279, 130, 346, 171, 387, 116, 332, 54, 270, 22, 238, 8, 224)(4, 220, 12, 228, 31, 247, 71, 287, 129, 345, 184, 400, 112, 328, 84, 300, 122, 338, 58, 274, 24, 240, 9, 225)(6, 222, 17, 233, 41, 257, 90, 306, 161, 377, 101, 317, 65, 281, 134, 350, 172, 388, 98, 314, 44, 260, 18, 234)(11, 227, 28, 244, 67, 283, 136, 352, 195, 411, 151, 367, 83, 299, 37, 253, 82, 298, 126, 342, 60, 276, 25, 241)(13, 229, 33, 249, 75, 291, 137, 353, 196, 412, 149, 365, 81, 297, 121, 337, 192, 408, 124, 340, 59, 275, 30, 246)(14, 230, 35, 251, 42, 258, 92, 308, 61, 277, 27, 243, 64, 280, 132, 348, 170, 386, 97, 313, 80, 296, 36, 252)(16, 232, 39, 255, 86, 302, 152, 368, 202, 418, 162, 378, 103, 319, 176, 392, 207, 423, 159, 375, 89, 305, 40, 256)(20, 236, 48, 264, 105, 321, 72, 288, 131, 347, 186, 402, 114, 330, 53, 269, 113, 329, 56, 272, 23, 239, 45, 261)(21, 237, 51, 267, 87, 303, 154, 370, 99, 315, 47, 263, 102, 318, 174, 390, 206, 422, 158, 374, 111, 327, 52, 268)(29, 245, 69, 285, 140, 356, 198, 414, 147, 363, 78, 294, 34, 250, 77, 293, 145, 361, 181, 397, 127, 343, 66, 282)(32, 248, 73, 289, 142, 358, 153, 369, 203, 419, 191, 407, 120, 336, 57, 273, 119, 335, 157, 373, 88, 304, 70, 286)(43, 259, 95, 311, 76, 292, 139, 355, 160, 376, 91, 307, 163, 379, 209, 425, 193, 409, 123, 339, 168, 384, 96, 312)(49, 265, 107, 323, 178, 394, 215, 431, 182, 398, 109, 325, 50, 266, 108, 324, 180, 396, 141, 357, 173, 389, 104, 320)(55, 271, 117, 333, 187, 403, 146, 362, 177, 393, 106, 322, 74, 290, 144, 360, 185, 401, 216, 432, 189, 405, 118, 334)(68, 284, 138, 354, 199, 415, 150, 366, 201, 417, 210, 426, 194, 410, 125, 341, 167, 383, 213, 429, 188, 404, 135, 351)(79, 295, 148, 364, 179, 395, 208, 424, 164, 380, 93, 309, 165, 381, 211, 427, 197, 413, 133, 349, 166, 382, 94, 310)(110, 326, 183, 399, 212, 428, 200, 416, 143, 359, 155, 371, 204, 420, 190, 406, 214, 430, 175, 391, 205, 421, 156, 372)
	L = (1, 218)(2, 222)(3, 225)(4, 217)(5, 230)(6, 232)(7, 221)(8, 237)(9, 239)(10, 241)(11, 219)(12, 246)(13, 220)(14, 250)(15, 253)(16, 229)(17, 224)(18, 259)(19, 261)(20, 223)(21, 266)(22, 269)(23, 271)(24, 273)(25, 275)(26, 277)(27, 226)(28, 282)(29, 227)(30, 276)(31, 286)(32, 228)(33, 256)(34, 265)(35, 231)(36, 295)(37, 297)(38, 300)(39, 234)(40, 304)(41, 251)(42, 233)(43, 310)(44, 313)(45, 240)(46, 315)(47, 235)(48, 320)(49, 236)(50, 309)(51, 238)(52, 326)(53, 328)(54, 331)(55, 245)(56, 324)(57, 319)(58, 337)(59, 339)(60, 341)(61, 343)(62, 316)(63, 242)(64, 317)(65, 243)(66, 308)(67, 351)(68, 244)(69, 334)(70, 305)(71, 321)(72, 247)(73, 322)(74, 248)(75, 311)(76, 249)(77, 252)(78, 362)(79, 312)(80, 314)(81, 307)(82, 254)(83, 366)(84, 330)(85, 332)(86, 267)(87, 255)(88, 372)(89, 374)(90, 376)(91, 257)(92, 380)(93, 258)(94, 371)(95, 260)(96, 383)(97, 385)(98, 387)(99, 389)(100, 377)(101, 262)(102, 378)(103, 263)(104, 370)(105, 393)(106, 264)(107, 294)(108, 268)(109, 397)(110, 373)(111, 375)(112, 369)(113, 270)(114, 401)(115, 386)(116, 388)(117, 272)(118, 404)(119, 274)(120, 406)(121, 299)(122, 301)(123, 281)(124, 392)(125, 290)(126, 293)(127, 398)(128, 287)(129, 278)(130, 288)(131, 279)(132, 413)(133, 280)(134, 409)(135, 405)(136, 291)(137, 283)(138, 292)(139, 284)(140, 396)(141, 285)(142, 416)(143, 289)(144, 410)(145, 298)(146, 415)(147, 411)(148, 296)(149, 368)(150, 403)(151, 414)(152, 358)(153, 302)(154, 359)(155, 303)(156, 354)(157, 333)(158, 346)(159, 350)(160, 424)(161, 418)(162, 306)(163, 365)(164, 355)(165, 325)(166, 357)(167, 342)(168, 340)(169, 352)(170, 356)(171, 422)(172, 423)(173, 349)(174, 430)(175, 318)(176, 336)(177, 363)(178, 364)(179, 323)(180, 329)(181, 360)(182, 347)(183, 327)(184, 353)(185, 361)(186, 431)(187, 335)(188, 420)(189, 419)(190, 429)(191, 432)(192, 338)(193, 427)(194, 428)(195, 344)(196, 345)(197, 425)(198, 348)(199, 421)(200, 426)(201, 367)(202, 412)(203, 400)(204, 382)(205, 395)(206, 394)(207, 408)(208, 391)(209, 417)(210, 379)(211, 399)(212, 381)(213, 384)(214, 407)(215, 390)(216, 402)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.3118
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 18 e = 216 f = 144
	degree seq :: [ 24^18 ]

E28.3123 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 12})
Quotient :: loop
Aut^+ = C3 x ((S3 x S3) : C2) (small group id <216, 157>)
Aut   = $<432, 741>$ (small group id <432, 741>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1 * T2 * T1^-1)^2, T1^-2 * T2 * T1^4 * T2 * T1^-2, (T2 * T1^-1)^6, T1^12, T2 * T1^-3 * T2 * T1 * T2 * T1 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 217, 3, 219)(2, 218, 6, 222)(4, 220, 9, 225)(5, 221, 12, 228)(7, 223, 16, 232)(8, 224, 17, 233)(10, 226, 21, 237)(11, 227, 24, 240)(13, 229, 28, 244)(14, 230, 29, 245)(15, 231, 32, 248)(18, 234, 36, 252)(19, 235, 34, 250)(20, 236, 39, 255)(22, 238, 43, 259)(23, 239, 46, 262)(25, 241, 50, 266)(26, 242, 51, 267)(27, 243, 54, 270)(30, 246, 57, 273)(31, 247, 59, 275)(33, 249, 63, 279)(35, 251, 65, 281)(37, 253, 69, 285)(38, 254, 71, 287)(40, 256, 74, 290)(41, 257, 72, 288)(42, 258, 76, 292)(44, 260, 70, 286)(45, 261, 81, 297)(47, 263, 84, 300)(48, 264, 85, 301)(49, 265, 87, 303)(52, 268, 90, 306)(53, 269, 91, 307)(55, 271, 95, 311)(56, 272, 96, 312)(58, 274, 100, 316)(60, 276, 103, 319)(61, 277, 104, 320)(62, 278, 106, 322)(64, 280, 108, 324)(66, 282, 110, 326)(67, 283, 109, 325)(68, 284, 112, 328)(73, 289, 107, 323)(75, 291, 111, 327)(77, 293, 124, 340)(78, 294, 114, 330)(79, 295, 122, 338)(80, 296, 127, 343)(82, 298, 130, 346)(83, 299, 132, 348)(86, 302, 135, 351)(88, 304, 139, 355)(89, 305, 140, 356)(92, 308, 145, 361)(93, 309, 146, 362)(94, 310, 148, 364)(97, 313, 150, 366)(98, 314, 149, 365)(99, 315, 151, 367)(101, 317, 153, 369)(102, 318, 155, 371)(105, 321, 157, 373)(113, 329, 166, 382)(115, 331, 164, 380)(116, 332, 165, 381)(117, 333, 161, 377)(118, 334, 171, 387)(119, 335, 158, 374)(120, 336, 159, 375)(121, 337, 163, 379)(123, 339, 160, 376)(125, 341, 172, 388)(126, 342, 177, 393)(128, 344, 178, 394)(129, 345, 179, 395)(131, 347, 181, 397)(133, 349, 185, 401)(134, 350, 186, 402)(136, 352, 188, 404)(137, 353, 189, 405)(138, 354, 191, 407)(141, 357, 193, 409)(142, 358, 192, 408)(143, 359, 194, 410)(144, 360, 197, 413)(147, 363, 199, 415)(152, 368, 201, 417)(154, 370, 204, 420)(156, 372, 182, 398)(162, 378, 196, 412)(167, 383, 198, 414)(168, 384, 209, 425)(169, 385, 208, 424)(170, 386, 205, 421)(173, 389, 206, 422)(174, 390, 203, 419)(175, 391, 207, 423)(176, 392, 200, 416)(180, 396, 210, 426)(183, 399, 211, 427)(184, 400, 212, 428)(187, 403, 213, 429)(190, 406, 215, 431)(195, 411, 216, 432)(202, 418, 214, 430)
	L = (1, 218)(2, 221)(3, 223)(4, 217)(5, 227)(6, 229)(7, 231)(8, 219)(9, 235)(10, 220)(11, 239)(12, 241)(13, 243)(14, 222)(15, 247)(16, 249)(17, 250)(18, 224)(19, 254)(20, 225)(21, 257)(22, 226)(23, 261)(24, 263)(25, 265)(26, 228)(27, 269)(28, 271)(29, 232)(30, 230)(31, 262)(32, 276)(33, 278)(34, 280)(35, 233)(36, 283)(37, 234)(38, 264)(39, 288)(40, 236)(41, 268)(42, 237)(43, 274)(44, 238)(45, 296)(46, 298)(47, 299)(48, 240)(49, 302)(50, 304)(51, 244)(52, 242)(53, 297)(54, 308)(55, 310)(56, 245)(57, 314)(58, 246)(59, 300)(60, 318)(61, 248)(62, 307)(63, 323)(64, 317)(65, 325)(66, 251)(67, 321)(68, 252)(69, 313)(70, 253)(71, 332)(72, 334)(73, 255)(74, 336)(75, 256)(76, 316)(77, 258)(78, 259)(79, 260)(80, 295)(81, 344)(82, 345)(83, 347)(84, 349)(85, 266)(86, 343)(87, 352)(88, 354)(89, 267)(90, 358)(91, 346)(92, 360)(93, 270)(94, 351)(95, 281)(96, 365)(97, 272)(98, 363)(99, 273)(100, 357)(101, 275)(102, 370)(103, 367)(104, 279)(105, 277)(106, 361)(107, 375)(108, 376)(109, 378)(110, 364)(111, 282)(112, 366)(113, 284)(114, 285)(115, 286)(116, 385)(117, 287)(118, 350)(119, 289)(120, 386)(121, 290)(122, 291)(123, 292)(124, 391)(125, 293)(126, 294)(127, 341)(128, 342)(129, 331)(130, 396)(131, 338)(132, 398)(133, 400)(134, 301)(135, 394)(136, 403)(137, 303)(138, 397)(139, 312)(140, 408)(141, 305)(142, 406)(143, 306)(144, 412)(145, 410)(146, 311)(147, 309)(148, 404)(149, 416)(150, 407)(151, 409)(152, 315)(153, 319)(154, 395)(155, 421)(156, 320)(157, 422)(158, 322)(159, 420)(160, 423)(161, 324)(162, 419)(163, 326)(164, 327)(165, 328)(166, 424)(167, 329)(168, 330)(169, 399)(170, 333)(171, 425)(172, 335)(173, 337)(174, 339)(175, 411)(176, 340)(177, 418)(178, 390)(179, 383)(180, 384)(181, 388)(182, 389)(183, 348)(184, 380)(185, 356)(186, 381)(187, 392)(188, 377)(189, 355)(190, 353)(191, 372)(192, 379)(193, 428)(194, 387)(195, 359)(196, 393)(197, 373)(198, 362)(199, 382)(200, 374)(201, 371)(202, 368)(203, 369)(204, 426)(205, 429)(206, 431)(207, 427)(208, 432)(209, 430)(210, 402)(211, 401)(212, 414)(213, 415)(214, 405)(215, 417)(216, 413)
	local type(s) :: { ( 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3119
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 108 e = 216 f = 54
	degree seq :: [ 4^108 ]

E28.3124 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x ((S3 x S3) : C2) (small group id <216, 157>)
Aut   = $<432, 741>$ (small group id <432, 741>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^6, (Y1 * Y2 * Y1 * Y2^-1)^2, (R * Y2^-2 * Y1)^2, Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1 * Y2^-2, (Y2^-3 * Y1)^4, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 217, 2, 218)(3, 219, 7, 223)(4, 220, 9, 225)(5, 221, 11, 227)(6, 222, 13, 229)(8, 224, 17, 233)(10, 226, 21, 237)(12, 228, 24, 240)(14, 230, 28, 244)(15, 231, 29, 245)(16, 232, 23, 239)(18, 234, 34, 250)(19, 235, 26, 242)(20, 236, 36, 252)(22, 238, 40, 256)(25, 241, 45, 261)(27, 243, 47, 263)(30, 246, 53, 269)(31, 247, 55, 271)(32, 248, 56, 272)(33, 249, 52, 268)(35, 251, 61, 277)(37, 253, 65, 281)(38, 254, 63, 279)(39, 255, 67, 283)(41, 257, 71, 287)(42, 258, 73, 289)(43, 259, 74, 290)(44, 260, 70, 286)(46, 262, 79, 295)(48, 264, 83, 299)(49, 265, 81, 297)(50, 266, 85, 301)(51, 267, 87, 303)(54, 270, 92, 308)(57, 273, 75, 291)(58, 274, 84, 300)(59, 275, 98, 314)(60, 276, 96, 312)(62, 278, 102, 318)(64, 280, 104, 320)(66, 282, 76, 292)(68, 284, 86, 302)(69, 285, 109, 325)(72, 288, 114, 330)(77, 293, 120, 336)(78, 294, 118, 334)(80, 296, 124, 340)(82, 298, 126, 342)(88, 304, 110, 326)(89, 305, 134, 350)(90, 306, 135, 351)(91, 307, 132, 348)(93, 309, 115, 331)(94, 310, 140, 356)(95, 311, 117, 333)(97, 313, 143, 359)(99, 315, 136, 352)(100, 316, 139, 355)(101, 317, 123, 339)(103, 319, 148, 364)(105, 321, 127, 343)(106, 322, 151, 367)(107, 323, 152, 368)(108, 324, 130, 346)(111, 327, 157, 373)(112, 328, 158, 374)(113, 329, 155, 371)(116, 332, 163, 379)(119, 335, 166, 382)(121, 337, 159, 375)(122, 338, 162, 378)(125, 341, 171, 387)(128, 344, 174, 390)(129, 345, 175, 391)(131, 347, 154, 370)(133, 349, 179, 395)(137, 353, 182, 398)(138, 354, 181, 397)(141, 357, 177, 393)(142, 358, 185, 401)(144, 360, 180, 396)(145, 361, 168, 384)(146, 362, 188, 404)(147, 363, 178, 394)(149, 365, 189, 405)(150, 366, 173, 389)(153, 369, 190, 406)(156, 372, 193, 409)(160, 376, 196, 412)(161, 377, 195, 411)(164, 380, 191, 407)(165, 381, 199, 415)(167, 383, 194, 410)(169, 385, 202, 418)(170, 386, 192, 408)(172, 388, 203, 419)(176, 392, 204, 420)(183, 399, 197, 413)(184, 400, 201, 417)(186, 402, 200, 416)(187, 403, 198, 414)(205, 421, 214, 430)(206, 422, 216, 432)(207, 423, 213, 429)(208, 424, 211, 427)(209, 425, 215, 431)(210, 426, 212, 428)(433, 649, 435, 651, 440, 656, 450, 666, 442, 658, 436, 652)(434, 650, 437, 653, 444, 660, 457, 673, 446, 662, 438, 654)(439, 655, 447, 663, 462, 678, 486, 702, 463, 679, 448, 664)(441, 657, 451, 667, 467, 683, 494, 710, 469, 685, 452, 668)(443, 659, 454, 670, 473, 689, 504, 720, 474, 690, 455, 671)(445, 661, 458, 674, 478, 694, 512, 728, 480, 696, 459, 675)(449, 665, 464, 680, 489, 705, 529, 745, 490, 706, 465, 681)(453, 669, 470, 686, 498, 714, 539, 755, 500, 716, 471, 687)(456, 672, 475, 691, 507, 723, 551, 767, 508, 724, 476, 692)(460, 676, 481, 697, 516, 732, 561, 777, 518, 734, 482, 698)(461, 677, 483, 699, 520, 736, 565, 781, 521, 737, 484, 700)(466, 682, 491, 707, 531, 747, 577, 793, 532, 748, 492, 708)(468, 684, 495, 711, 535, 751, 581, 797, 537, 753, 496, 712)(472, 688, 501, 717, 542, 758, 588, 804, 543, 759, 502, 718)(477, 693, 509, 725, 553, 769, 600, 816, 554, 770, 510, 726)(479, 695, 513, 729, 557, 773, 604, 820, 559, 775, 514, 730)(485, 701, 522, 738, 568, 784, 533, 749, 493, 709, 523, 739)(487, 703, 525, 741, 571, 787, 538, 754, 497, 713, 526, 742)(488, 704, 527, 743, 573, 789, 616, 832, 574, 790, 528, 744)(499, 715, 530, 746, 576, 792, 619, 835, 585, 801, 540, 756)(503, 719, 544, 760, 591, 807, 555, 771, 511, 727, 545, 761)(505, 721, 547, 763, 594, 810, 560, 776, 515, 731, 548, 764)(506, 722, 549, 765, 596, 812, 630, 846, 597, 813, 550, 766)(517, 733, 552, 768, 599, 815, 633, 849, 608, 824, 562, 778)(519, 735, 563, 779, 609, 825, 637, 853, 610, 826, 564, 780)(524, 740, 569, 785, 589, 805, 584, 800, 615, 831, 570, 786)(534, 750, 578, 794, 618, 834, 575, 791, 603, 819, 579, 795)(536, 752, 572, 788, 614, 830, 642, 858, 622, 838, 582, 798)(541, 757, 586, 802, 623, 839, 643, 859, 624, 840, 587, 803)(546, 762, 592, 808, 566, 782, 607, 823, 629, 845, 593, 809)(556, 772, 601, 817, 632, 848, 598, 814, 580, 796, 602, 818)(558, 774, 595, 811, 628, 844, 648, 864, 636, 852, 605, 821)(567, 783, 612, 828, 640, 856, 621, 837, 641, 857, 613, 829)(583, 799, 620, 836, 639, 855, 611, 827, 638, 854, 617, 833)(590, 806, 626, 842, 646, 862, 635, 851, 647, 863, 627, 843)(606, 822, 634, 850, 645, 861, 625, 841, 644, 860, 631, 847)
	L = (1, 434)(2, 433)(3, 439)(4, 441)(5, 443)(6, 445)(7, 435)(8, 449)(9, 436)(10, 453)(11, 437)(12, 456)(13, 438)(14, 460)(15, 461)(16, 455)(17, 440)(18, 466)(19, 458)(20, 468)(21, 442)(22, 472)(23, 448)(24, 444)(25, 477)(26, 451)(27, 479)(28, 446)(29, 447)(30, 485)(31, 487)(32, 488)(33, 484)(34, 450)(35, 493)(36, 452)(37, 497)(38, 495)(39, 499)(40, 454)(41, 503)(42, 505)(43, 506)(44, 502)(45, 457)(46, 511)(47, 459)(48, 515)(49, 513)(50, 517)(51, 519)(52, 465)(53, 462)(54, 524)(55, 463)(56, 464)(57, 507)(58, 516)(59, 530)(60, 528)(61, 467)(62, 534)(63, 470)(64, 536)(65, 469)(66, 508)(67, 471)(68, 518)(69, 541)(70, 476)(71, 473)(72, 546)(73, 474)(74, 475)(75, 489)(76, 498)(77, 552)(78, 550)(79, 478)(80, 556)(81, 481)(82, 558)(83, 480)(84, 490)(85, 482)(86, 500)(87, 483)(88, 542)(89, 566)(90, 567)(91, 564)(92, 486)(93, 547)(94, 572)(95, 549)(96, 492)(97, 575)(98, 491)(99, 568)(100, 571)(101, 555)(102, 494)(103, 580)(104, 496)(105, 559)(106, 583)(107, 584)(108, 562)(109, 501)(110, 520)(111, 589)(112, 590)(113, 587)(114, 504)(115, 525)(116, 595)(117, 527)(118, 510)(119, 598)(120, 509)(121, 591)(122, 594)(123, 533)(124, 512)(125, 603)(126, 514)(127, 537)(128, 606)(129, 607)(130, 540)(131, 586)(132, 523)(133, 611)(134, 521)(135, 522)(136, 531)(137, 614)(138, 613)(139, 532)(140, 526)(141, 609)(142, 617)(143, 529)(144, 612)(145, 600)(146, 620)(147, 610)(148, 535)(149, 621)(150, 605)(151, 538)(152, 539)(153, 622)(154, 563)(155, 545)(156, 625)(157, 543)(158, 544)(159, 553)(160, 628)(161, 627)(162, 554)(163, 548)(164, 623)(165, 631)(166, 551)(167, 626)(168, 577)(169, 634)(170, 624)(171, 557)(172, 635)(173, 582)(174, 560)(175, 561)(176, 636)(177, 573)(178, 579)(179, 565)(180, 576)(181, 570)(182, 569)(183, 629)(184, 633)(185, 574)(186, 632)(187, 630)(188, 578)(189, 581)(190, 585)(191, 596)(192, 602)(193, 588)(194, 599)(195, 593)(196, 592)(197, 615)(198, 619)(199, 597)(200, 618)(201, 616)(202, 601)(203, 604)(204, 608)(205, 646)(206, 648)(207, 645)(208, 643)(209, 647)(210, 644)(211, 640)(212, 642)(213, 639)(214, 637)(215, 641)(216, 638)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.3127
Graph:: bipartite
	v = 144 e = 432 f = 234
	degree seq :: [ 4^108, 12^36 ]

E28.3125 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x ((S3 x S3) : C2) (small group id <216, 157>)
Aut   = $<432, 741>$ (small group id <432, 741>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, Y1^6, (Y1^-1 * Y2^-2 * Y1^-1)^2, Y2^-2 * Y1 * Y2^5 * Y1 * Y2^-1, Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-2 * Y2 * Y1^-1, Y2 * Y1^-1 * Y2^-5 * Y1^-1 * Y2^2, Y1^-1 * Y2^3 * Y1^-1 * Y2^7, Y1^-1 * Y2 * Y1^-2 * Y2 * Y1^-1 * Y2^-3 * Y1^-2 * Y2, (Y2 * Y1^-2)^4 ]
Map::
	R = (1, 217, 2, 218, 6, 222, 16, 232, 13, 229, 4, 220)(3, 219, 9, 225, 23, 239, 55, 271, 29, 245, 11, 227)(5, 221, 14, 230, 34, 250, 49, 265, 20, 236, 7, 223)(8, 224, 21, 237, 50, 266, 93, 309, 42, 258, 17, 233)(10, 226, 25, 241, 59, 275, 123, 339, 65, 281, 27, 243)(12, 228, 30, 246, 60, 276, 125, 341, 74, 290, 32, 248)(15, 231, 37, 253, 81, 297, 91, 307, 41, 257, 35, 251)(18, 234, 43, 259, 94, 310, 155, 371, 87, 303, 39, 255)(19, 235, 45, 261, 24, 240, 57, 273, 103, 319, 47, 263)(22, 238, 53, 269, 112, 328, 153, 369, 86, 302, 51, 267)(26, 242, 61, 277, 127, 343, 182, 398, 131, 347, 63, 279)(28, 244, 66, 282, 92, 308, 164, 380, 139, 355, 68, 284)(31, 247, 70, 286, 89, 305, 158, 374, 130, 346, 72, 288)(33, 249, 40, 256, 88, 304, 156, 372, 138, 354, 76, 292)(36, 252, 79, 295, 96, 312, 167, 383, 126, 342, 77, 293)(38, 254, 84, 300, 114, 330, 185, 401, 145, 361, 82, 298)(44, 260, 97, 313, 169, 385, 136, 352, 75, 291, 95, 311)(46, 262, 99, 315, 173, 389, 133, 349, 64, 280, 101, 317)(48, 264, 104, 320, 154, 370, 143, 359, 73, 289, 106, 322)(52, 268, 110, 326, 157, 373, 117, 333, 56, 272, 108, 324)(54, 270, 115, 331, 170, 386, 140, 356, 180, 396, 113, 329)(58, 274, 121, 337, 83, 299, 150, 366, 187, 403, 119, 335)(62, 278, 100, 316, 161, 377, 202, 418, 196, 412, 129, 345)(67, 283, 135, 351, 189, 405, 203, 419, 184, 400, 137, 353)(69, 285, 118, 334, 188, 404, 204, 420, 166, 382, 141, 357)(71, 287, 105, 321, 177, 393, 147, 363, 195, 411, 128, 344)(78, 294, 146, 362, 199, 415, 205, 421, 179, 395, 107, 323)(80, 296, 98, 314, 171, 387, 206, 422, 178, 394, 148, 364)(85, 301, 116, 332, 172, 388, 207, 423, 192, 408, 122, 338)(90, 306, 160, 376, 208, 424, 175, 391, 102, 318, 162, 378)(109, 325, 181, 397, 144, 360, 194, 410, 212, 428, 165, 381)(111, 327, 159, 375, 134, 350, 193, 409, 211, 427, 183, 399)(120, 336, 190, 406, 213, 429, 168, 384, 124, 340, 176, 392)(132, 348, 197, 413, 209, 425, 201, 417, 151, 367, 198, 414)(142, 358, 200, 416, 210, 426, 163, 379, 149, 365, 152, 368)(174, 390, 214, 430, 191, 407, 216, 432, 186, 402, 215, 431)(433, 649, 435, 651, 442, 658, 458, 674, 494, 710, 560, 776, 601, 817, 547, 763, 517, 733, 470, 686, 447, 663, 437, 653)(434, 650, 439, 655, 451, 667, 478, 694, 532, 748, 495, 711, 562, 778, 603, 819, 548, 764, 486, 702, 454, 670, 440, 656)(436, 652, 444, 660, 463, 679, 503, 719, 561, 777, 616, 832, 544, 760, 516, 732, 554, 770, 490, 706, 456, 672, 441, 657)(438, 654, 449, 665, 473, 689, 522, 738, 593, 809, 533, 749, 497, 713, 566, 782, 604, 820, 530, 746, 476, 692, 450, 666)(443, 659, 460, 676, 499, 715, 568, 784, 627, 843, 583, 799, 515, 731, 469, 685, 514, 730, 558, 774, 492, 708, 457, 673)(445, 661, 465, 681, 507, 723, 569, 785, 628, 844, 581, 797, 513, 729, 553, 769, 624, 840, 556, 772, 491, 707, 462, 678)(446, 662, 467, 683, 474, 690, 524, 740, 493, 709, 459, 675, 496, 712, 564, 780, 602, 818, 529, 745, 512, 728, 468, 684)(448, 664, 471, 687, 518, 734, 584, 800, 634, 850, 594, 810, 535, 751, 608, 824, 639, 855, 591, 807, 521, 737, 472, 688)(452, 668, 480, 696, 537, 753, 504, 720, 563, 779, 618, 834, 546, 762, 485, 701, 545, 761, 488, 704, 455, 671, 477, 693)(453, 669, 483, 699, 519, 735, 586, 802, 531, 747, 479, 695, 534, 750, 606, 822, 638, 854, 590, 806, 543, 759, 484, 700)(461, 677, 501, 717, 572, 788, 630, 846, 579, 795, 510, 726, 466, 682, 509, 725, 577, 793, 613, 829, 559, 775, 498, 714)(464, 680, 505, 721, 574, 790, 585, 801, 635, 851, 623, 839, 552, 768, 489, 705, 551, 767, 589, 805, 520, 736, 502, 718)(475, 691, 527, 743, 508, 724, 571, 787, 592, 808, 523, 739, 595, 811, 641, 857, 625, 841, 555, 771, 600, 816, 528, 744)(481, 697, 539, 755, 610, 826, 647, 863, 614, 830, 541, 757, 482, 698, 540, 756, 612, 828, 573, 789, 605, 821, 536, 752)(487, 703, 549, 765, 619, 835, 578, 794, 609, 825, 538, 754, 506, 722, 576, 792, 617, 833, 648, 864, 621, 837, 550, 766)(500, 716, 570, 786, 631, 847, 582, 798, 633, 849, 642, 858, 626, 842, 557, 773, 599, 815, 645, 861, 620, 836, 567, 783)(511, 727, 580, 796, 611, 827, 640, 856, 596, 812, 525, 741, 597, 813, 643, 859, 629, 845, 565, 781, 598, 814, 526, 742)(542, 758, 615, 831, 644, 860, 632, 848, 575, 791, 587, 803, 636, 852, 622, 838, 646, 862, 607, 823, 637, 853, 588, 804)
	L = (1, 435)(2, 439)(3, 442)(4, 444)(5, 433)(6, 449)(7, 451)(8, 434)(9, 436)(10, 458)(11, 460)(12, 463)(13, 465)(14, 467)(15, 437)(16, 471)(17, 473)(18, 438)(19, 478)(20, 480)(21, 483)(22, 440)(23, 477)(24, 441)(25, 443)(26, 494)(27, 496)(28, 499)(29, 501)(30, 445)(31, 503)(32, 505)(33, 507)(34, 509)(35, 474)(36, 446)(37, 514)(38, 447)(39, 518)(40, 448)(41, 522)(42, 524)(43, 527)(44, 450)(45, 452)(46, 532)(47, 534)(48, 537)(49, 539)(50, 540)(51, 519)(52, 453)(53, 545)(54, 454)(55, 549)(56, 455)(57, 551)(58, 456)(59, 462)(60, 457)(61, 459)(62, 560)(63, 562)(64, 564)(65, 566)(66, 461)(67, 568)(68, 570)(69, 572)(70, 464)(71, 561)(72, 563)(73, 574)(74, 576)(75, 569)(76, 571)(77, 577)(78, 466)(79, 580)(80, 468)(81, 553)(82, 558)(83, 469)(84, 554)(85, 470)(86, 584)(87, 586)(88, 502)(89, 472)(90, 593)(91, 595)(92, 493)(93, 597)(94, 511)(95, 508)(96, 475)(97, 512)(98, 476)(99, 479)(100, 495)(101, 497)(102, 606)(103, 608)(104, 481)(105, 504)(106, 506)(107, 610)(108, 612)(109, 482)(110, 615)(111, 484)(112, 516)(113, 488)(114, 485)(115, 517)(116, 486)(117, 619)(118, 487)(119, 589)(120, 489)(121, 624)(122, 490)(123, 600)(124, 491)(125, 599)(126, 492)(127, 498)(128, 601)(129, 616)(130, 603)(131, 618)(132, 602)(133, 598)(134, 604)(135, 500)(136, 627)(137, 628)(138, 631)(139, 592)(140, 630)(141, 605)(142, 585)(143, 587)(144, 617)(145, 613)(146, 609)(147, 510)(148, 611)(149, 513)(150, 633)(151, 515)(152, 634)(153, 635)(154, 531)(155, 636)(156, 542)(157, 520)(158, 543)(159, 521)(160, 523)(161, 533)(162, 535)(163, 641)(164, 525)(165, 643)(166, 526)(167, 645)(168, 528)(169, 547)(170, 529)(171, 548)(172, 530)(173, 536)(174, 638)(175, 637)(176, 639)(177, 538)(178, 647)(179, 640)(180, 573)(181, 559)(182, 541)(183, 644)(184, 544)(185, 648)(186, 546)(187, 578)(188, 567)(189, 550)(190, 646)(191, 552)(192, 556)(193, 555)(194, 557)(195, 583)(196, 581)(197, 565)(198, 579)(199, 582)(200, 575)(201, 642)(202, 594)(203, 623)(204, 622)(205, 588)(206, 590)(207, 591)(208, 596)(209, 625)(210, 626)(211, 629)(212, 632)(213, 620)(214, 607)(215, 614)(216, 621)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.3126
Graph:: bipartite
	v = 54 e = 432 f = 324
	degree seq :: [ 12^36, 24^18 ]

E28.3126 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x ((S3 x S3) : C2) (small group id <216, 157>)
Aut   = $<432, 741>$ (small group id <432, 741>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y3 * Y2 * Y3^-1)^2, Y3^3 * Y2 * Y3^-4 * Y2 * Y3, (Y3 * Y2)^6, Y3^-2 * Y2 * Y3^-1 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^-1 * Y2 * Y3^2 * Y2, (Y3^-1 * Y1^-1)^12 ]
Map:: polytopal
	R = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)(433, 649, 434, 650)(435, 651, 439, 655)(436, 652, 441, 657)(437, 653, 443, 659)(438, 654, 445, 661)(440, 656, 449, 665)(442, 658, 453, 669)(444, 660, 457, 673)(446, 662, 461, 677)(447, 663, 463, 679)(448, 664, 456, 672)(450, 666, 468, 684)(451, 667, 459, 675)(452, 668, 471, 687)(454, 670, 475, 691)(455, 671, 477, 693)(458, 674, 482, 698)(460, 676, 485, 701)(462, 678, 489, 705)(464, 680, 493, 709)(465, 681, 495, 711)(466, 682, 497, 713)(467, 683, 492, 708)(469, 685, 483, 699)(470, 686, 503, 719)(472, 688, 506, 722)(473, 689, 504, 720)(474, 690, 508, 724)(476, 692, 490, 706)(478, 694, 514, 730)(479, 695, 516, 732)(480, 696, 518, 734)(481, 697, 513, 729)(484, 700, 524, 740)(486, 702, 527, 743)(487, 703, 525, 741)(488, 704, 529, 745)(491, 707, 526, 742)(494, 710, 515, 731)(496, 712, 540, 756)(498, 714, 543, 759)(499, 715, 545, 761)(500, 716, 521, 737)(501, 717, 542, 758)(502, 718, 537, 753)(505, 721, 512, 728)(507, 723, 528, 744)(509, 725, 556, 772)(510, 726, 531, 747)(511, 727, 554, 770)(517, 733, 566, 782)(519, 735, 569, 785)(520, 736, 571, 787)(522, 738, 568, 784)(523, 739, 563, 779)(530, 746, 582, 798)(532, 748, 580, 796)(533, 749, 578, 794)(534, 750, 586, 802)(535, 751, 561, 777)(536, 752, 577, 793)(538, 754, 564, 780)(539, 755, 567, 783)(541, 757, 565, 781)(544, 760, 585, 801)(546, 762, 599, 815)(547, 763, 596, 812)(548, 764, 581, 797)(549, 765, 575, 791)(550, 766, 603, 819)(551, 767, 562, 778)(552, 768, 559, 775)(553, 769, 579, 795)(555, 771, 574, 790)(557, 773, 604, 820)(558, 774, 609, 825)(560, 776, 611, 827)(570, 786, 610, 826)(572, 788, 624, 840)(573, 789, 621, 837)(576, 792, 628, 844)(583, 799, 629, 845)(584, 800, 634, 850)(587, 803, 617, 833)(588, 804, 623, 839)(589, 805, 633, 849)(590, 806, 635, 851)(591, 807, 620, 836)(592, 808, 612, 828)(593, 809, 631, 847)(594, 810, 627, 843)(595, 811, 616, 832)(597, 813, 630, 846)(598, 814, 613, 829)(600, 816, 637, 853)(601, 817, 632, 848)(602, 818, 619, 835)(605, 821, 622, 838)(606, 822, 618, 834)(607, 823, 626, 842)(608, 824, 614, 830)(615, 831, 642, 858)(625, 841, 644, 860)(636, 852, 643, 859)(638, 854, 645, 861)(639, 855, 646, 862)(640, 856, 647, 863)(641, 857, 648, 864)
	L = (1, 435)(2, 437)(3, 440)(4, 433)(5, 444)(6, 434)(7, 447)(8, 450)(9, 451)(10, 436)(11, 455)(12, 458)(13, 459)(14, 438)(15, 464)(16, 439)(17, 466)(18, 469)(19, 470)(20, 441)(21, 473)(22, 442)(23, 478)(24, 443)(25, 480)(26, 483)(27, 484)(28, 445)(29, 487)(30, 446)(31, 491)(32, 494)(33, 448)(34, 498)(35, 449)(36, 500)(37, 502)(38, 501)(39, 504)(40, 452)(41, 499)(42, 453)(43, 496)(44, 454)(45, 512)(46, 515)(47, 456)(48, 519)(49, 457)(50, 521)(51, 523)(52, 522)(53, 525)(54, 460)(55, 520)(56, 461)(57, 517)(58, 462)(59, 533)(60, 463)(61, 535)(62, 537)(63, 538)(64, 465)(65, 541)(66, 544)(67, 467)(68, 546)(69, 468)(70, 547)(71, 548)(72, 550)(73, 471)(74, 552)(75, 472)(76, 540)(77, 474)(78, 475)(79, 476)(80, 559)(81, 477)(82, 561)(83, 563)(84, 564)(85, 479)(86, 567)(87, 570)(88, 481)(89, 572)(90, 482)(91, 573)(92, 574)(93, 576)(94, 485)(95, 578)(96, 486)(97, 566)(98, 488)(99, 489)(100, 490)(101, 585)(102, 492)(103, 588)(104, 493)(105, 590)(106, 589)(107, 495)(108, 587)(109, 592)(110, 497)(111, 594)(112, 596)(113, 597)(114, 600)(115, 511)(116, 601)(117, 503)(118, 593)(119, 505)(120, 602)(121, 506)(122, 507)(123, 508)(124, 607)(125, 509)(126, 510)(127, 610)(128, 513)(129, 613)(130, 514)(131, 615)(132, 614)(133, 516)(134, 612)(135, 617)(136, 518)(137, 619)(138, 621)(139, 622)(140, 625)(141, 532)(142, 626)(143, 524)(144, 618)(145, 526)(146, 627)(147, 527)(148, 528)(149, 529)(150, 632)(151, 530)(152, 531)(153, 635)(154, 630)(155, 534)(156, 628)(157, 536)(158, 558)(159, 539)(160, 637)(161, 542)(162, 638)(163, 543)(164, 557)(165, 639)(166, 545)(167, 611)(168, 554)(169, 641)(170, 549)(171, 634)(172, 551)(173, 553)(174, 555)(175, 640)(176, 556)(177, 636)(178, 642)(179, 605)(180, 560)(181, 603)(182, 562)(183, 584)(184, 565)(185, 644)(186, 568)(187, 645)(188, 569)(189, 583)(190, 646)(191, 571)(192, 586)(193, 580)(194, 648)(195, 575)(196, 609)(197, 577)(198, 579)(199, 581)(200, 647)(201, 582)(202, 643)(203, 606)(204, 591)(205, 604)(206, 608)(207, 595)(208, 598)(209, 599)(210, 631)(211, 616)(212, 629)(213, 633)(214, 620)(215, 623)(216, 624)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 12, 24 ), ( 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.3125
Graph:: simple bipartite
	v = 324 e = 432 f = 54
	degree seq :: [ 2^216, 4^108 ]

E28.3127 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x ((S3 x S3) : C2) (small group id <216, 157>)
Aut   = $<432, 741>$ (small group id <432, 741>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y1)^2, (Y1 * Y3 * Y1^-1 * Y3)^2, Y1^-4 * Y3 * Y1^4 * Y3, (Y3 * Y1^-1)^6, Y1^12 ]
Map:: polytopal
	R = (1, 217, 2, 218, 5, 221, 11, 227, 23, 239, 45, 261, 80, 296, 79, 295, 44, 260, 22, 238, 10, 226, 4, 220)(3, 219, 7, 223, 15, 231, 31, 247, 46, 262, 82, 298, 129, 345, 115, 331, 70, 286, 37, 253, 18, 234, 8, 224)(6, 222, 13, 229, 27, 243, 53, 269, 81, 297, 128, 344, 126, 342, 78, 294, 43, 259, 58, 274, 30, 246, 14, 230)(9, 225, 19, 235, 38, 254, 48, 264, 24, 240, 47, 263, 83, 299, 131, 347, 122, 338, 75, 291, 40, 256, 20, 236)(12, 228, 25, 241, 49, 265, 86, 302, 127, 343, 125, 341, 77, 293, 42, 258, 21, 237, 41, 257, 52, 268, 26, 242)(16, 232, 33, 249, 62, 278, 91, 307, 130, 346, 180, 396, 168, 384, 114, 330, 69, 285, 97, 313, 56, 272, 29, 245)(17, 233, 34, 250, 64, 280, 101, 317, 59, 275, 84, 300, 133, 349, 184, 400, 164, 380, 111, 327, 66, 282, 35, 251)(28, 244, 55, 271, 94, 310, 135, 351, 178, 394, 174, 390, 123, 339, 76, 292, 100, 316, 141, 357, 89, 305, 51, 267)(32, 248, 60, 276, 102, 318, 154, 370, 179, 395, 167, 383, 113, 329, 68, 284, 36, 252, 67, 283, 105, 321, 61, 277)(39, 255, 72, 288, 118, 334, 134, 350, 85, 301, 50, 266, 88, 304, 138, 354, 181, 397, 172, 388, 119, 335, 73, 289)(54, 270, 92, 308, 144, 360, 196, 412, 177, 393, 202, 418, 152, 368, 99, 315, 57, 273, 98, 314, 147, 363, 93, 309)(63, 279, 107, 323, 159, 375, 204, 420, 210, 426, 186, 402, 165, 381, 112, 328, 150, 366, 191, 407, 156, 372, 104, 320)(65, 281, 109, 325, 162, 378, 203, 419, 153, 369, 103, 319, 151, 367, 193, 409, 212, 428, 198, 414, 146, 362, 95, 311)(71, 287, 116, 332, 169, 385, 183, 399, 132, 348, 182, 398, 173, 389, 121, 337, 74, 290, 120, 336, 170, 386, 117, 333)(87, 303, 136, 352, 187, 403, 176, 392, 124, 340, 175, 391, 195, 411, 143, 359, 90, 306, 142, 358, 190, 406, 137, 353)(96, 312, 149, 365, 200, 416, 158, 374, 106, 322, 145, 361, 194, 410, 171, 387, 209, 425, 214, 430, 189, 405, 139, 355)(108, 324, 160, 376, 207, 423, 211, 427, 185, 401, 140, 356, 192, 408, 163, 379, 110, 326, 148, 364, 188, 404, 161, 377)(155, 371, 205, 421, 213, 429, 199, 415, 166, 382, 208, 424, 216, 432, 197, 413, 157, 373, 206, 422, 215, 431, 201, 417)(433, 649)(434, 650)(435, 651)(436, 652)(437, 653)(438, 654)(439, 655)(440, 656)(441, 657)(442, 658)(443, 659)(444, 660)(445, 661)(446, 662)(447, 663)(448, 664)(449, 665)(450, 666)(451, 667)(452, 668)(453, 669)(454, 670)(455, 671)(456, 672)(457, 673)(458, 674)(459, 675)(460, 676)(461, 677)(462, 678)(463, 679)(464, 680)(465, 681)(466, 682)(467, 683)(468, 684)(469, 685)(470, 686)(471, 687)(472, 688)(473, 689)(474, 690)(475, 691)(476, 692)(477, 693)(478, 694)(479, 695)(480, 696)(481, 697)(482, 698)(483, 699)(484, 700)(485, 701)(486, 702)(487, 703)(488, 704)(489, 705)(490, 706)(491, 707)(492, 708)(493, 709)(494, 710)(495, 711)(496, 712)(497, 713)(498, 714)(499, 715)(500, 716)(501, 717)(502, 718)(503, 719)(504, 720)(505, 721)(506, 722)(507, 723)(508, 724)(509, 725)(510, 726)(511, 727)(512, 728)(513, 729)(514, 730)(515, 731)(516, 732)(517, 733)(518, 734)(519, 735)(520, 736)(521, 737)(522, 738)(523, 739)(524, 740)(525, 741)(526, 742)(527, 743)(528, 744)(529, 745)(530, 746)(531, 747)(532, 748)(533, 749)(534, 750)(535, 751)(536, 752)(537, 753)(538, 754)(539, 755)(540, 756)(541, 757)(542, 758)(543, 759)(544, 760)(545, 761)(546, 762)(547, 763)(548, 764)(549, 765)(550, 766)(551, 767)(552, 768)(553, 769)(554, 770)(555, 771)(556, 772)(557, 773)(558, 774)(559, 775)(560, 776)(561, 777)(562, 778)(563, 779)(564, 780)(565, 781)(566, 782)(567, 783)(568, 784)(569, 785)(570, 786)(571, 787)(572, 788)(573, 789)(574, 790)(575, 791)(576, 792)(577, 793)(578, 794)(579, 795)(580, 796)(581, 797)(582, 798)(583, 799)(584, 800)(585, 801)(586, 802)(587, 803)(588, 804)(589, 805)(590, 806)(591, 807)(592, 808)(593, 809)(594, 810)(595, 811)(596, 812)(597, 813)(598, 814)(599, 815)(600, 816)(601, 817)(602, 818)(603, 819)(604, 820)(605, 821)(606, 822)(607, 823)(608, 824)(609, 825)(610, 826)(611, 827)(612, 828)(613, 829)(614, 830)(615, 831)(616, 832)(617, 833)(618, 834)(619, 835)(620, 836)(621, 837)(622, 838)(623, 839)(624, 840)(625, 841)(626, 842)(627, 843)(628, 844)(629, 845)(630, 846)(631, 847)(632, 848)(633, 849)(634, 850)(635, 851)(636, 852)(637, 853)(638, 854)(639, 855)(640, 856)(641, 857)(642, 858)(643, 859)(644, 860)(645, 861)(646, 862)(647, 863)(648, 864)
	L = (1, 435)(2, 438)(3, 433)(4, 441)(5, 444)(6, 434)(7, 448)(8, 449)(9, 436)(10, 453)(11, 456)(12, 437)(13, 460)(14, 461)(15, 464)(16, 439)(17, 440)(18, 468)(19, 466)(20, 471)(21, 442)(22, 475)(23, 478)(24, 443)(25, 482)(26, 483)(27, 486)(28, 445)(29, 446)(30, 489)(31, 491)(32, 447)(33, 495)(34, 451)(35, 497)(36, 450)(37, 501)(38, 503)(39, 452)(40, 506)(41, 504)(42, 508)(43, 454)(44, 502)(45, 513)(46, 455)(47, 516)(48, 517)(49, 519)(50, 457)(51, 458)(52, 522)(53, 523)(54, 459)(55, 527)(56, 528)(57, 462)(58, 532)(59, 463)(60, 535)(61, 536)(62, 538)(63, 465)(64, 540)(65, 467)(66, 542)(67, 541)(68, 544)(69, 469)(70, 476)(71, 470)(72, 473)(73, 539)(74, 472)(75, 543)(76, 474)(77, 556)(78, 546)(79, 554)(80, 559)(81, 477)(82, 562)(83, 564)(84, 479)(85, 480)(86, 567)(87, 481)(88, 571)(89, 572)(90, 484)(91, 485)(92, 577)(93, 578)(94, 580)(95, 487)(96, 488)(97, 582)(98, 581)(99, 583)(100, 490)(101, 585)(102, 587)(103, 492)(104, 493)(105, 589)(106, 494)(107, 505)(108, 496)(109, 499)(110, 498)(111, 507)(112, 500)(113, 598)(114, 510)(115, 596)(116, 597)(117, 593)(118, 603)(119, 590)(120, 591)(121, 595)(122, 511)(123, 592)(124, 509)(125, 604)(126, 609)(127, 512)(128, 610)(129, 611)(130, 514)(131, 613)(132, 515)(133, 617)(134, 618)(135, 518)(136, 620)(137, 621)(138, 623)(139, 520)(140, 521)(141, 625)(142, 624)(143, 626)(144, 629)(145, 524)(146, 525)(147, 631)(148, 526)(149, 530)(150, 529)(151, 531)(152, 633)(153, 533)(154, 636)(155, 534)(156, 614)(157, 537)(158, 551)(159, 552)(160, 555)(161, 549)(162, 628)(163, 553)(164, 547)(165, 548)(166, 545)(167, 630)(168, 641)(169, 640)(170, 637)(171, 550)(172, 557)(173, 638)(174, 635)(175, 639)(176, 632)(177, 558)(178, 560)(179, 561)(180, 642)(181, 563)(182, 588)(183, 643)(184, 644)(185, 565)(186, 566)(187, 645)(188, 568)(189, 569)(190, 647)(191, 570)(192, 574)(193, 573)(194, 575)(195, 648)(196, 594)(197, 576)(198, 599)(199, 579)(200, 608)(201, 584)(202, 646)(203, 606)(204, 586)(205, 602)(206, 605)(207, 607)(208, 601)(209, 600)(210, 612)(211, 615)(212, 616)(213, 619)(214, 634)(215, 622)(216, 627)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3124
Graph:: simple bipartite
	v = 234 e = 432 f = 144
	degree seq :: [ 2^216, 24^18 ]

E28.3128 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x ((S3 x S3) : C2) (small group id <216, 157>)
Aut   = $<432, 741>$ (small group id <432, 741>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y2 * Y1 * Y2^-1)^2, Y2^-3 * Y1 * Y2^4 * Y1 * Y2^-1, (Y2^-1 * R * Y2^-3)^2, (Y3 * Y2^-1)^6, Y2^12, (Y2 * Y1)^6, Y2^-2 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1 ]
Map::
	R = (1, 217, 2, 218)(3, 219, 7, 223)(4, 220, 9, 225)(5, 221, 11, 227)(6, 222, 13, 229)(8, 224, 17, 233)(10, 226, 21, 237)(12, 228, 25, 241)(14, 230, 29, 245)(15, 231, 31, 247)(16, 232, 24, 240)(18, 234, 36, 252)(19, 235, 27, 243)(20, 236, 39, 255)(22, 238, 43, 259)(23, 239, 45, 261)(26, 242, 50, 266)(28, 244, 53, 269)(30, 246, 57, 273)(32, 248, 61, 277)(33, 249, 63, 279)(34, 250, 65, 281)(35, 251, 60, 276)(37, 253, 51, 267)(38, 254, 71, 287)(40, 256, 74, 290)(41, 257, 72, 288)(42, 258, 76, 292)(44, 260, 58, 274)(46, 262, 82, 298)(47, 263, 84, 300)(48, 264, 86, 302)(49, 265, 81, 297)(52, 268, 92, 308)(54, 270, 95, 311)(55, 271, 93, 309)(56, 272, 97, 313)(59, 275, 94, 310)(62, 278, 83, 299)(64, 280, 108, 324)(66, 282, 111, 327)(67, 283, 113, 329)(68, 284, 89, 305)(69, 285, 110, 326)(70, 286, 105, 321)(73, 289, 80, 296)(75, 291, 96, 312)(77, 293, 124, 340)(78, 294, 99, 315)(79, 295, 122, 338)(85, 301, 134, 350)(87, 303, 137, 353)(88, 304, 139, 355)(90, 306, 136, 352)(91, 307, 131, 347)(98, 314, 150, 366)(100, 316, 148, 364)(101, 317, 146, 362)(102, 318, 154, 370)(103, 319, 129, 345)(104, 320, 145, 361)(106, 322, 132, 348)(107, 323, 135, 351)(109, 325, 133, 349)(112, 328, 153, 369)(114, 330, 167, 383)(115, 331, 164, 380)(116, 332, 149, 365)(117, 333, 143, 359)(118, 334, 171, 387)(119, 335, 130, 346)(120, 336, 127, 343)(121, 337, 147, 363)(123, 339, 142, 358)(125, 341, 172, 388)(126, 342, 177, 393)(128, 344, 179, 395)(138, 354, 178, 394)(140, 356, 192, 408)(141, 357, 189, 405)(144, 360, 196, 412)(151, 367, 197, 413)(152, 368, 202, 418)(155, 371, 185, 401)(156, 372, 191, 407)(157, 373, 201, 417)(158, 374, 203, 419)(159, 375, 188, 404)(160, 376, 180, 396)(161, 377, 199, 415)(162, 378, 195, 411)(163, 379, 184, 400)(165, 381, 198, 414)(166, 382, 181, 397)(168, 384, 205, 421)(169, 385, 200, 416)(170, 386, 187, 403)(173, 389, 190, 406)(174, 390, 186, 402)(175, 391, 194, 410)(176, 392, 182, 398)(183, 399, 210, 426)(193, 409, 212, 428)(204, 420, 211, 427)(206, 422, 213, 429)(207, 423, 214, 430)(208, 424, 215, 431)(209, 425, 216, 432)(433, 649, 435, 651, 440, 656, 450, 666, 469, 685, 502, 718, 547, 763, 511, 727, 476, 692, 454, 670, 442, 658, 436, 652)(434, 650, 437, 653, 444, 660, 458, 674, 483, 699, 523, 739, 573, 789, 532, 748, 490, 706, 462, 678, 446, 662, 438, 654)(439, 655, 447, 663, 464, 680, 494, 710, 537, 753, 590, 806, 558, 774, 510, 726, 475, 691, 496, 712, 465, 681, 448, 664)(441, 657, 451, 667, 470, 686, 501, 717, 468, 684, 500, 716, 546, 762, 600, 816, 554, 770, 507, 723, 472, 688, 452, 668)(443, 659, 455, 671, 478, 694, 515, 731, 563, 779, 615, 831, 584, 800, 531, 747, 489, 705, 517, 733, 479, 695, 456, 672)(445, 661, 459, 675, 484, 700, 522, 738, 482, 698, 521, 737, 572, 788, 625, 841, 580, 796, 528, 744, 486, 702, 460, 676)(449, 665, 466, 682, 498, 714, 544, 760, 596, 812, 557, 773, 509, 725, 474, 690, 453, 669, 473, 689, 499, 715, 467, 683)(457, 673, 480, 696, 519, 735, 570, 786, 621, 837, 583, 799, 530, 746, 488, 704, 461, 677, 487, 703, 520, 736, 481, 697)(463, 679, 491, 707, 533, 749, 585, 801, 635, 851, 606, 822, 555, 771, 508, 724, 540, 756, 587, 803, 534, 750, 492, 708)(471, 687, 504, 720, 550, 766, 593, 809, 542, 758, 497, 713, 541, 757, 592, 808, 637, 853, 604, 820, 551, 767, 505, 721)(477, 693, 512, 728, 559, 775, 610, 826, 642, 858, 631, 847, 581, 797, 529, 745, 566, 782, 612, 828, 560, 776, 513, 729)(485, 701, 525, 741, 576, 792, 618, 834, 568, 784, 518, 734, 567, 783, 617, 833, 644, 860, 629, 845, 577, 793, 526, 742)(493, 709, 535, 751, 588, 804, 628, 844, 609, 825, 636, 852, 591, 807, 539, 755, 495, 711, 538, 754, 589, 805, 536, 752)(503, 719, 548, 764, 601, 817, 641, 857, 599, 815, 611, 827, 605, 821, 553, 769, 506, 722, 552, 768, 602, 818, 549, 765)(514, 730, 561, 777, 613, 829, 603, 819, 634, 850, 643, 859, 616, 832, 565, 781, 516, 732, 564, 780, 614, 830, 562, 778)(524, 740, 574, 790, 626, 842, 648, 864, 624, 840, 586, 802, 630, 846, 579, 795, 527, 743, 578, 794, 627, 843, 575, 791)(543, 759, 594, 810, 638, 854, 608, 824, 556, 772, 607, 823, 640, 856, 598, 814, 545, 761, 597, 813, 639, 855, 595, 811)(569, 785, 619, 835, 645, 861, 633, 849, 582, 798, 632, 848, 647, 863, 623, 839, 571, 787, 622, 838, 646, 862, 620, 836)
	L = (1, 434)(2, 433)(3, 439)(4, 441)(5, 443)(6, 445)(7, 435)(8, 449)(9, 436)(10, 453)(11, 437)(12, 457)(13, 438)(14, 461)(15, 463)(16, 456)(17, 440)(18, 468)(19, 459)(20, 471)(21, 442)(22, 475)(23, 477)(24, 448)(25, 444)(26, 482)(27, 451)(28, 485)(29, 446)(30, 489)(31, 447)(32, 493)(33, 495)(34, 497)(35, 492)(36, 450)(37, 483)(38, 503)(39, 452)(40, 506)(41, 504)(42, 508)(43, 454)(44, 490)(45, 455)(46, 514)(47, 516)(48, 518)(49, 513)(50, 458)(51, 469)(52, 524)(53, 460)(54, 527)(55, 525)(56, 529)(57, 462)(58, 476)(59, 526)(60, 467)(61, 464)(62, 515)(63, 465)(64, 540)(65, 466)(66, 543)(67, 545)(68, 521)(69, 542)(70, 537)(71, 470)(72, 473)(73, 512)(74, 472)(75, 528)(76, 474)(77, 556)(78, 531)(79, 554)(80, 505)(81, 481)(82, 478)(83, 494)(84, 479)(85, 566)(86, 480)(87, 569)(88, 571)(89, 500)(90, 568)(91, 563)(92, 484)(93, 487)(94, 491)(95, 486)(96, 507)(97, 488)(98, 582)(99, 510)(100, 580)(101, 578)(102, 586)(103, 561)(104, 577)(105, 502)(106, 564)(107, 567)(108, 496)(109, 565)(110, 501)(111, 498)(112, 585)(113, 499)(114, 599)(115, 596)(116, 581)(117, 575)(118, 603)(119, 562)(120, 559)(121, 579)(122, 511)(123, 574)(124, 509)(125, 604)(126, 609)(127, 552)(128, 611)(129, 535)(130, 551)(131, 523)(132, 538)(133, 541)(134, 517)(135, 539)(136, 522)(137, 519)(138, 610)(139, 520)(140, 624)(141, 621)(142, 555)(143, 549)(144, 628)(145, 536)(146, 533)(147, 553)(148, 532)(149, 548)(150, 530)(151, 629)(152, 634)(153, 544)(154, 534)(155, 617)(156, 623)(157, 633)(158, 635)(159, 620)(160, 612)(161, 631)(162, 627)(163, 616)(164, 547)(165, 630)(166, 613)(167, 546)(168, 637)(169, 632)(170, 619)(171, 550)(172, 557)(173, 622)(174, 618)(175, 626)(176, 614)(177, 558)(178, 570)(179, 560)(180, 592)(181, 598)(182, 608)(183, 642)(184, 595)(185, 587)(186, 606)(187, 602)(188, 591)(189, 573)(190, 605)(191, 588)(192, 572)(193, 644)(194, 607)(195, 594)(196, 576)(197, 583)(198, 597)(199, 593)(200, 601)(201, 589)(202, 584)(203, 590)(204, 643)(205, 600)(206, 645)(207, 646)(208, 647)(209, 648)(210, 615)(211, 636)(212, 625)(213, 638)(214, 639)(215, 640)(216, 641)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3129
Graph:: bipartite
	v = 126 e = 432 f = 252
	degree seq :: [ 4^108, 24^18 ]

E28.3129 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = C3 x ((S3 x S3) : C2) (small group id <216, 157>)
Aut   = $<432, 741>$ (small group id <432, 741>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^6, (Y1^-1 * Y3^-2 * Y1^-1)^2, Y1^-3 * Y3 * Y1^-1 * Y3^-2 * Y1^-1 * Y3 * Y1^-1, Y3^-1 * Y1 * Y3^-1 * Y1^2 * Y3 * Y1^-1 * Y3 * Y1^-2, Y3 * Y1^-1 * Y3^2 * Y1^-1 * Y3^-3 * Y1^2, Y3^3 * Y1^-1 * Y3 * Y1^2 * Y3^-2 * Y1, Y3^2 * Y1^-3 * Y3^3 * Y1^-1 * Y3 * Y1^-2, (Y3 * Y2^-1)^12 ]
Map:: polytopal
	R = (1, 217, 2, 218, 6, 222, 16, 232, 13, 229, 4, 220)(3, 219, 9, 225, 23, 239, 55, 271, 29, 245, 11, 227)(5, 221, 14, 230, 34, 250, 49, 265, 20, 236, 7, 223)(8, 224, 21, 237, 50, 266, 93, 309, 42, 258, 17, 233)(10, 226, 25, 241, 59, 275, 123, 339, 65, 281, 27, 243)(12, 228, 30, 246, 60, 276, 125, 341, 74, 290, 32, 248)(15, 231, 37, 253, 81, 297, 91, 307, 41, 257, 35, 251)(18, 234, 43, 259, 94, 310, 155, 371, 87, 303, 39, 255)(19, 235, 45, 261, 24, 240, 57, 273, 103, 319, 47, 263)(22, 238, 53, 269, 112, 328, 153, 369, 86, 302, 51, 267)(26, 242, 61, 277, 127, 343, 182, 398, 131, 347, 63, 279)(28, 244, 66, 282, 92, 308, 164, 380, 139, 355, 68, 284)(31, 247, 70, 286, 89, 305, 158, 374, 130, 346, 72, 288)(33, 249, 40, 256, 88, 304, 156, 372, 138, 354, 76, 292)(36, 252, 79, 295, 96, 312, 167, 383, 126, 342, 77, 293)(38, 254, 84, 300, 114, 330, 185, 401, 145, 361, 82, 298)(44, 260, 97, 313, 169, 385, 136, 352, 75, 291, 95, 311)(46, 262, 99, 315, 173, 389, 133, 349, 64, 280, 101, 317)(48, 264, 104, 320, 154, 370, 143, 359, 73, 289, 106, 322)(52, 268, 110, 326, 157, 373, 117, 333, 56, 272, 108, 324)(54, 270, 115, 331, 170, 386, 140, 356, 180, 396, 113, 329)(58, 274, 121, 337, 83, 299, 150, 366, 187, 403, 119, 335)(62, 278, 100, 316, 161, 377, 202, 418, 196, 412, 129, 345)(67, 283, 135, 351, 189, 405, 203, 419, 184, 400, 137, 353)(69, 285, 118, 334, 188, 404, 204, 420, 166, 382, 141, 357)(71, 287, 105, 321, 177, 393, 147, 363, 195, 411, 128, 344)(78, 294, 146, 362, 199, 415, 205, 421, 179, 395, 107, 323)(80, 296, 98, 314, 171, 387, 206, 422, 178, 394, 148, 364)(85, 301, 116, 332, 172, 388, 207, 423, 192, 408, 122, 338)(90, 306, 160, 376, 208, 424, 175, 391, 102, 318, 162, 378)(109, 325, 181, 397, 144, 360, 194, 410, 212, 428, 165, 381)(111, 327, 159, 375, 134, 350, 193, 409, 211, 427, 183, 399)(120, 336, 190, 406, 213, 429, 168, 384, 124, 340, 176, 392)(132, 348, 197, 413, 209, 425, 201, 417, 151, 367, 198, 414)(142, 358, 200, 416, 210, 426, 163, 379, 149, 365, 152, 368)(174, 390, 214, 430, 191, 407, 216, 432, 186, 402, 215, 431)(433, 649)(434, 650)(435, 651)(436, 652)(437, 653)(438, 654)(439, 655)(440, 656)(441, 657)(442, 658)(443, 659)(444, 660)(445, 661)(446, 662)(447, 663)(448, 664)(449, 665)(450, 666)(451, 667)(452, 668)(453, 669)(454, 670)(455, 671)(456, 672)(457, 673)(458, 674)(459, 675)(460, 676)(461, 677)(462, 678)(463, 679)(464, 680)(465, 681)(466, 682)(467, 683)(468, 684)(469, 685)(470, 686)(471, 687)(472, 688)(473, 689)(474, 690)(475, 691)(476, 692)(477, 693)(478, 694)(479, 695)(480, 696)(481, 697)(482, 698)(483, 699)(484, 700)(485, 701)(486, 702)(487, 703)(488, 704)(489, 705)(490, 706)(491, 707)(492, 708)(493, 709)(494, 710)(495, 711)(496, 712)(497, 713)(498, 714)(499, 715)(500, 716)(501, 717)(502, 718)(503, 719)(504, 720)(505, 721)(506, 722)(507, 723)(508, 724)(509, 725)(510, 726)(511, 727)(512, 728)(513, 729)(514, 730)(515, 731)(516, 732)(517, 733)(518, 734)(519, 735)(520, 736)(521, 737)(522, 738)(523, 739)(524, 740)(525, 741)(526, 742)(527, 743)(528, 744)(529, 745)(530, 746)(531, 747)(532, 748)(533, 749)(534, 750)(535, 751)(536, 752)(537, 753)(538, 754)(539, 755)(540, 756)(541, 757)(542, 758)(543, 759)(544, 760)(545, 761)(546, 762)(547, 763)(548, 764)(549, 765)(550, 766)(551, 767)(552, 768)(553, 769)(554, 770)(555, 771)(556, 772)(557, 773)(558, 774)(559, 775)(560, 776)(561, 777)(562, 778)(563, 779)(564, 780)(565, 781)(566, 782)(567, 783)(568, 784)(569, 785)(570, 786)(571, 787)(572, 788)(573, 789)(574, 790)(575, 791)(576, 792)(577, 793)(578, 794)(579, 795)(580, 796)(581, 797)(582, 798)(583, 799)(584, 800)(585, 801)(586, 802)(587, 803)(588, 804)(589, 805)(590, 806)(591, 807)(592, 808)(593, 809)(594, 810)(595, 811)(596, 812)(597, 813)(598, 814)(599, 815)(600, 816)(601, 817)(602, 818)(603, 819)(604, 820)(605, 821)(606, 822)(607, 823)(608, 824)(609, 825)(610, 826)(611, 827)(612, 828)(613, 829)(614, 830)(615, 831)(616, 832)(617, 833)(618, 834)(619, 835)(620, 836)(621, 837)(622, 838)(623, 839)(624, 840)(625, 841)(626, 842)(627, 843)(628, 844)(629, 845)(630, 846)(631, 847)(632, 848)(633, 849)(634, 850)(635, 851)(636, 852)(637, 853)(638, 854)(639, 855)(640, 856)(641, 857)(642, 858)(643, 859)(644, 860)(645, 861)(646, 862)(647, 863)(648, 864)
	L = (1, 435)(2, 439)(3, 442)(4, 444)(5, 433)(6, 449)(7, 451)(8, 434)(9, 436)(10, 458)(11, 460)(12, 463)(13, 465)(14, 467)(15, 437)(16, 471)(17, 473)(18, 438)(19, 478)(20, 480)(21, 483)(22, 440)(23, 477)(24, 441)(25, 443)(26, 494)(27, 496)(28, 499)(29, 501)(30, 445)(31, 503)(32, 505)(33, 507)(34, 509)(35, 474)(36, 446)(37, 514)(38, 447)(39, 518)(40, 448)(41, 522)(42, 524)(43, 527)(44, 450)(45, 452)(46, 532)(47, 534)(48, 537)(49, 539)(50, 540)(51, 519)(52, 453)(53, 545)(54, 454)(55, 549)(56, 455)(57, 551)(58, 456)(59, 462)(60, 457)(61, 459)(62, 560)(63, 562)(64, 564)(65, 566)(66, 461)(67, 568)(68, 570)(69, 572)(70, 464)(71, 561)(72, 563)(73, 574)(74, 576)(75, 569)(76, 571)(77, 577)(78, 466)(79, 580)(80, 468)(81, 553)(82, 558)(83, 469)(84, 554)(85, 470)(86, 584)(87, 586)(88, 502)(89, 472)(90, 593)(91, 595)(92, 493)(93, 597)(94, 511)(95, 508)(96, 475)(97, 512)(98, 476)(99, 479)(100, 495)(101, 497)(102, 606)(103, 608)(104, 481)(105, 504)(106, 506)(107, 610)(108, 612)(109, 482)(110, 615)(111, 484)(112, 516)(113, 488)(114, 485)(115, 517)(116, 486)(117, 619)(118, 487)(119, 589)(120, 489)(121, 624)(122, 490)(123, 600)(124, 491)(125, 599)(126, 492)(127, 498)(128, 601)(129, 616)(130, 603)(131, 618)(132, 602)(133, 598)(134, 604)(135, 500)(136, 627)(137, 628)(138, 631)(139, 592)(140, 630)(141, 605)(142, 585)(143, 587)(144, 617)(145, 613)(146, 609)(147, 510)(148, 611)(149, 513)(150, 633)(151, 515)(152, 634)(153, 635)(154, 531)(155, 636)(156, 542)(157, 520)(158, 543)(159, 521)(160, 523)(161, 533)(162, 535)(163, 641)(164, 525)(165, 643)(166, 526)(167, 645)(168, 528)(169, 547)(170, 529)(171, 548)(172, 530)(173, 536)(174, 638)(175, 637)(176, 639)(177, 538)(178, 647)(179, 640)(180, 573)(181, 559)(182, 541)(183, 644)(184, 544)(185, 648)(186, 546)(187, 578)(188, 567)(189, 550)(190, 646)(191, 552)(192, 556)(193, 555)(194, 557)(195, 583)(196, 581)(197, 565)(198, 579)(199, 582)(200, 575)(201, 642)(202, 594)(203, 623)(204, 622)(205, 588)(206, 590)(207, 591)(208, 596)(209, 625)(210, 626)(211, 629)(212, 632)(213, 620)(214, 607)(215, 614)(216, 621)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.3128
Graph:: simple bipartite
	v = 252 e = 432 f = 126
	degree seq :: [ 2^216, 12^36 ]

E28.3130 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 12})
Quotient :: regular
Aut^+ = (C3 x ((C3 x C3) : C4)) : C2 (small group id <216, 159>)
Aut   = $<432, 756>$ (small group id <432, 756>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-2, (T1^-1 * T2)^6, T1^12 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 47, 82, 81, 46, 22, 10, 4)(3, 7, 15, 31, 63, 101, 130, 84, 48, 38, 18, 8)(6, 13, 27, 55, 45, 80, 125, 128, 83, 62, 30, 14)(9, 19, 39, 74, 116, 134, 86, 50, 24, 49, 42, 20)(12, 25, 51, 44, 21, 43, 78, 123, 127, 92, 54, 26)(16, 33, 60, 29, 59, 97, 149, 178, 153, 110, 68, 34)(17, 35, 69, 111, 129, 179, 155, 102, 64, 40, 71, 36)(28, 57, 90, 53, 89, 138, 190, 174, 126, 148, 96, 58)(32, 65, 103, 73, 37, 72, 114, 167, 180, 160, 106, 66)(41, 52, 88, 132, 85, 131, 181, 169, 117, 79, 120, 76)(56, 93, 142, 100, 61, 99, 151, 201, 177, 197, 145, 94)(67, 107, 158, 105, 157, 206, 211, 200, 150, 182, 161, 108)(70, 104, 144, 195, 154, 203, 215, 191, 164, 115, 146, 95)(75, 118, 170, 122, 77, 121, 173, 184, 133, 183, 172, 119)(87, 135, 185, 141, 91, 140, 192, 176, 124, 175, 188, 136)(98, 143, 187, 163, 109, 162, 208, 210, 199, 152, 189, 137)(112, 139, 186, 166, 113, 147, 198, 171, 204, 214, 193, 165)(156, 205, 213, 196, 159, 207, 216, 202, 168, 209, 212, 194)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 48)(25, 52)(26, 53)(27, 56)(30, 61)(31, 64)(33, 67)(34, 55)(35, 49)(36, 70)(38, 59)(39, 75)(42, 77)(43, 79)(44, 58)(46, 63)(47, 83)(50, 85)(51, 87)(54, 91)(57, 95)(60, 98)(62, 89)(65, 104)(66, 105)(68, 109)(69, 112)(71, 113)(72, 115)(73, 108)(74, 117)(76, 107)(78, 124)(80, 126)(81, 116)(82, 127)(84, 129)(86, 133)(88, 137)(90, 139)(92, 131)(93, 143)(94, 144)(96, 147)(97, 150)(99, 152)(100, 146)(101, 153)(102, 154)(103, 156)(106, 159)(110, 157)(111, 164)(114, 168)(118, 158)(119, 171)(120, 163)(121, 161)(122, 166)(123, 174)(125, 177)(128, 178)(130, 180)(132, 182)(134, 179)(135, 186)(136, 187)(138, 191)(140, 193)(141, 189)(142, 194)(145, 196)(148, 195)(149, 199)(151, 202)(155, 204)(160, 203)(162, 197)(165, 184)(167, 200)(169, 206)(170, 205)(172, 207)(173, 209)(175, 198)(176, 208)(181, 210)(183, 211)(185, 212)(188, 213)(190, 214)(192, 216)(201, 215)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E28.3131
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 18 e = 108 f = 36
	degree seq :: [ 12^18 ]

E28.3131 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 12})
Quotient :: regular
Aut^+ = (C3 x ((C3 x C3) : C4)) : C2 (small group id <216, 159>)
Aut   = $<432, 756>$ (small group id <432, 756>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, T2 * T1 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-2, (T1 * T2 * T1^-1 * T2 * T1 * T2)^4 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 29, 18, 8)(6, 13, 25, 48, 28, 14)(9, 19, 36, 64, 39, 20)(12, 23, 44, 73, 47, 24)(16, 31, 57, 75, 45, 32)(17, 33, 60, 76, 46, 34)(21, 40, 67, 96, 68, 41)(22, 42, 69, 97, 72, 43)(26, 50, 37, 65, 70, 51)(27, 52, 38, 66, 71, 53)(30, 54, 74, 99, 85, 56)(35, 49, 77, 98, 92, 63)(55, 83, 111, 125, 100, 84)(58, 86, 61, 90, 112, 87)(59, 88, 62, 91, 113, 89)(78, 103, 93, 120, 124, 104)(79, 105, 81, 109, 129, 106)(80, 107, 82, 110, 130, 108)(94, 121, 95, 123, 146, 122)(101, 126, 102, 128, 150, 127)(114, 137, 116, 141, 151, 138)(115, 139, 117, 142, 152, 140)(118, 143, 119, 145, 153, 144)(131, 154, 133, 158, 147, 155)(132, 156, 134, 159, 148, 157)(135, 160, 136, 162, 149, 161)(163, 181, 165, 185, 169, 182)(164, 183, 166, 186, 170, 184)(167, 187, 168, 189, 171, 188)(172, 190, 174, 194, 178, 191)(173, 192, 175, 195, 179, 193)(176, 196, 177, 198, 180, 197)(199, 211, 201, 215, 205, 209)(200, 210, 202, 214, 206, 208)(203, 213, 204, 216, 207, 212)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 35)(19, 37)(20, 38)(23, 45)(24, 46)(25, 49)(28, 54)(29, 55)(31, 58)(32, 59)(33, 61)(34, 62)(36, 63)(39, 56)(40, 57)(41, 60)(42, 70)(43, 71)(44, 74)(47, 77)(48, 78)(50, 79)(51, 80)(52, 81)(53, 82)(64, 93)(65, 94)(66, 95)(67, 85)(68, 92)(69, 98)(72, 99)(73, 100)(75, 101)(76, 102)(83, 112)(84, 113)(86, 114)(87, 115)(88, 116)(89, 117)(90, 118)(91, 119)(96, 111)(97, 124)(103, 129)(104, 130)(105, 131)(106, 132)(107, 133)(108, 134)(109, 135)(110, 136)(120, 146)(121, 147)(122, 148)(123, 149)(125, 150)(126, 151)(127, 152)(128, 153)(137, 163)(138, 164)(139, 165)(140, 166)(141, 167)(142, 168)(143, 169)(144, 170)(145, 171)(154, 172)(155, 173)(156, 174)(157, 175)(158, 176)(159, 177)(160, 178)(161, 179)(162, 180)(181, 199)(182, 200)(183, 201)(184, 202)(185, 203)(186, 204)(187, 205)(188, 206)(189, 207)(190, 208)(191, 209)(192, 210)(193, 211)(194, 212)(195, 213)(196, 214)(197, 215)(198, 216)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.3130
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 36 e = 108 f = 18
	degree seq :: [ 6^36 ]

E28.3132 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 12})
Quotient :: edge
Aut^+ = (C3 x ((C3 x C3) : C4)) : C2 (small group id <216, 159>)
Aut   = $<432, 756>$ (small group id <432, 756>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, T2^2 * T1 * T2 * T1 * T2^2 * T1 * T2^-1 * T1, T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 ]
Map:: polytopal
	R = (1, 3, 8, 18, 10, 4)(2, 5, 12, 25, 14, 6)(7, 15, 30, 57, 32, 16)(9, 19, 37, 65, 39, 20)(11, 22, 43, 71, 45, 23)(13, 26, 50, 79, 52, 27)(17, 33, 60, 90, 61, 34)(21, 40, 67, 96, 68, 41)(24, 46, 74, 104, 75, 47)(28, 53, 81, 110, 82, 54)(29, 55, 36, 64, 85, 56)(31, 58, 38, 66, 89, 59)(35, 62, 91, 119, 92, 63)(42, 69, 49, 78, 99, 70)(44, 72, 51, 80, 103, 73)(48, 76, 105, 132, 106, 77)(83, 111, 87, 117, 139, 112)(84, 113, 88, 118, 142, 114)(86, 115, 94, 122, 143, 116)(93, 120, 95, 123, 148, 121)(97, 124, 101, 130, 152, 125)(98, 126, 102, 131, 155, 127)(100, 128, 108, 135, 156, 129)(107, 133, 109, 136, 161, 134)(137, 163, 140, 167, 146, 164)(138, 165, 141, 168, 147, 166)(144, 169, 145, 171, 149, 170)(150, 172, 153, 176, 159, 173)(151, 174, 154, 177, 160, 175)(157, 178, 158, 180, 162, 179)(181, 199, 183, 203, 187, 200)(182, 201, 184, 204, 188, 202)(185, 205, 186, 207, 189, 206)(190, 208, 192, 212, 196, 209)(191, 210, 193, 213, 197, 211)(194, 214, 195, 216, 198, 215)(217, 218)(219, 223)(220, 225)(221, 227)(222, 229)(224, 233)(226, 237)(228, 240)(230, 244)(231, 245)(232, 247)(234, 251)(235, 252)(236, 254)(238, 258)(239, 260)(241, 264)(242, 265)(243, 267)(246, 269)(248, 262)(249, 261)(250, 268)(253, 270)(255, 263)(256, 259)(257, 266)(271, 299)(272, 300)(273, 302)(274, 303)(275, 304)(276, 290)(277, 297)(278, 301)(279, 305)(280, 309)(281, 310)(282, 311)(283, 291)(284, 298)(285, 313)(286, 314)(287, 316)(288, 317)(289, 318)(292, 315)(293, 319)(294, 323)(295, 324)(296, 325)(306, 322)(307, 326)(308, 320)(312, 321)(327, 353)(328, 354)(329, 356)(330, 357)(331, 355)(332, 358)(333, 360)(334, 361)(335, 359)(336, 362)(337, 363)(338, 364)(339, 365)(340, 366)(341, 367)(342, 369)(343, 370)(344, 368)(345, 371)(346, 373)(347, 374)(348, 372)(349, 375)(350, 376)(351, 377)(352, 378)(379, 397)(380, 398)(381, 399)(382, 400)(383, 401)(384, 402)(385, 403)(386, 404)(387, 405)(388, 406)(389, 407)(390, 408)(391, 409)(392, 410)(393, 411)(394, 412)(395, 413)(396, 414)(415, 427)(416, 425)(417, 426)(418, 424)(419, 431)(420, 430)(421, 429)(422, 428)(423, 432)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 24, 24 ), ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E28.3136
Transitivity :: ET+
Graph:: simple bipartite
	v = 144 e = 216 f = 18
	degree seq :: [ 2^108, 6^36 ]

E28.3133 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 12})
Quotient :: edge
Aut^+ = (C3 x ((C3 x C3) : C4)) : C2 (small group id <216, 159>)
Aut   = $<432, 756>$ (small group id <432, 756>)
|r| :: 2
Presentation :: [ F^2, (T1^-1 * T2^-1)^2, (T2^-1 * T1^-1)^2, (F * T1)^2, (F * T2)^2, T1^6, T2 * T1^-1 * T2^2 * T1^-2 * T2^-1 * T1, (T2 * T1^-1 * T2 * T1^-2)^2, T2^12 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 26, 61, 107, 149, 118, 76, 38, 15, 5)(2, 7, 19, 46, 90, 133, 175, 138, 98, 54, 22, 8)(4, 12, 31, 68, 112, 154, 183, 143, 102, 57, 24, 9)(6, 17, 41, 81, 124, 166, 197, 169, 128, 87, 44, 18)(11, 28, 63, 37, 75, 117, 158, 186, 146, 104, 59, 25)(13, 33, 58, 101, 142, 182, 208, 189, 151, 110, 66, 30)(14, 35, 73, 115, 157, 188, 148, 106, 60, 27, 42, 36)(16, 39, 77, 119, 160, 194, 212, 195, 163, 122, 80, 40)(20, 48, 23, 53, 97, 137, 179, 201, 172, 130, 88, 45)(21, 51, 95, 135, 178, 203, 174, 132, 89, 47, 78, 52)(29, 65, 105, 145, 185, 210, 191, 155, 114, 72, 34, 62)(32, 69, 79, 56, 100, 141, 181, 207, 190, 153, 111, 67)(43, 85, 127, 167, 198, 213, 196, 165, 123, 82, 71, 86)(49, 93, 131, 171, 200, 215, 204, 176, 134, 94, 50, 91)(55, 92, 70, 113, 129, 170, 199, 214, 206, 180, 140, 99)(64, 109, 139, 103, 144, 184, 209, 193, 159, 168, 150, 108)(74, 83, 125, 164, 147, 187, 211, 192, 156, 116, 126, 84)(96, 120, 161, 152, 173, 202, 216, 205, 177, 136, 162, 121)(217, 218, 222, 232, 229, 220)(219, 225, 239, 271, 245, 227)(221, 230, 250, 265, 236, 223)(224, 237, 266, 299, 258, 233)(226, 241, 274, 298, 257, 243)(228, 246, 279, 324, 286, 248)(231, 253, 282, 301, 260, 251)(234, 259, 300, 336, 294, 255)(235, 261, 247, 283, 293, 263)(238, 269, 240, 272, 296, 267)(242, 276, 321, 350, 313, 270)(244, 278, 252, 290, 302, 280)(249, 256, 295, 337, 325, 287)(254, 284, 304, 345, 330, 291)(262, 305, 347, 332, 289, 303)(264, 307, 268, 312, 285, 308)(273, 317, 275, 319, 356, 316)(277, 314, 340, 379, 358, 318)(281, 315, 355, 378, 341, 310)(288, 329, 366, 377, 342, 309)(292, 306, 344, 376, 367, 328)(297, 339, 380, 352, 311, 338)(320, 361, 322, 363, 381, 360)(323, 359, 395, 422, 401, 362)(326, 335, 327, 368, 384, 343)(331, 372, 383, 375, 333, 371)(334, 373, 407, 416, 388, 349)(346, 387, 348, 389, 369, 386)(351, 393, 357, 396, 353, 392)(354, 394, 420, 403, 364, 382)(365, 402, 424, 429, 413, 404)(370, 405, 374, 409, 415, 406)(385, 414, 408, 418, 390, 410)(391, 417, 399, 423, 428, 419)(397, 421, 400, 412, 398, 411)(425, 432, 427, 431, 426, 430)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4^6 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E28.3137
Transitivity :: ET+
Graph:: simple bipartite
	v = 54 e = 216 f = 108
	degree seq :: [ 6^36, 12^18 ]

E28.3134 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 12})
Quotient :: edge
Aut^+ = (C3 x ((C3 x C3) : C4)) : C2 (small group id <216, 159>)
Aut   = $<432, 756>$ (small group id <432, 756>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-2, (T1^-1 * T2)^6, T1^12 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 48)(25, 52)(26, 53)(27, 56)(30, 61)(31, 64)(33, 67)(34, 55)(35, 49)(36, 70)(38, 59)(39, 75)(42, 77)(43, 79)(44, 58)(46, 63)(47, 83)(50, 85)(51, 87)(54, 91)(57, 95)(60, 98)(62, 89)(65, 104)(66, 105)(68, 109)(69, 112)(71, 113)(72, 115)(73, 108)(74, 117)(76, 107)(78, 124)(80, 126)(81, 116)(82, 127)(84, 129)(86, 133)(88, 137)(90, 139)(92, 131)(93, 143)(94, 144)(96, 147)(97, 150)(99, 152)(100, 146)(101, 153)(102, 154)(103, 156)(106, 159)(110, 157)(111, 164)(114, 168)(118, 158)(119, 171)(120, 163)(121, 161)(122, 166)(123, 174)(125, 177)(128, 178)(130, 180)(132, 182)(134, 179)(135, 186)(136, 187)(138, 191)(140, 193)(141, 189)(142, 194)(145, 196)(148, 195)(149, 199)(151, 202)(155, 204)(160, 203)(162, 197)(165, 184)(167, 200)(169, 206)(170, 205)(172, 207)(173, 209)(175, 198)(176, 208)(181, 210)(183, 211)(185, 212)(188, 213)(190, 214)(192, 216)(201, 215)(217, 218, 221, 227, 239, 263, 298, 297, 262, 238, 226, 220)(219, 223, 231, 247, 279, 317, 346, 300, 264, 254, 234, 224)(222, 229, 243, 271, 261, 296, 341, 344, 299, 278, 246, 230)(225, 235, 255, 290, 332, 350, 302, 266, 240, 265, 258, 236)(228, 241, 267, 260, 237, 259, 294, 339, 343, 308, 270, 242)(232, 249, 276, 245, 275, 313, 365, 394, 369, 326, 284, 250)(233, 251, 285, 327, 345, 395, 371, 318, 280, 256, 287, 252)(244, 273, 306, 269, 305, 354, 406, 390, 342, 364, 312, 274)(248, 281, 319, 289, 253, 288, 330, 383, 396, 376, 322, 282)(257, 268, 304, 348, 301, 347, 397, 385, 333, 295, 336, 292)(272, 309, 358, 316, 277, 315, 367, 417, 393, 413, 361, 310)(283, 323, 374, 321, 373, 422, 427, 416, 366, 398, 377, 324)(286, 320, 360, 411, 370, 419, 431, 407, 380, 331, 362, 311)(291, 334, 386, 338, 293, 337, 389, 400, 349, 399, 388, 335)(303, 351, 401, 357, 307, 356, 408, 392, 340, 391, 404, 352)(314, 359, 403, 379, 325, 378, 424, 426, 415, 368, 405, 353)(328, 355, 402, 382, 329, 363, 414, 387, 420, 430, 409, 381)(372, 421, 429, 412, 375, 423, 432, 418, 384, 425, 428, 410)
	L = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 12, 12 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E28.3135
Transitivity :: ET+
Graph:: simple bipartite
	v = 126 e = 216 f = 36
	degree seq :: [ 2^108, 12^18 ]

E28.3135 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 12})
Quotient :: loop
Aut^+ = (C3 x ((C3 x C3) : C4)) : C2 (small group id <216, 159>)
Aut   = $<432, 756>$ (small group id <432, 756>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, T2^2 * T1 * T2 * T1 * T2^2 * T1 * T2^-1 * T1, T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 ]
Map::
	R = (1, 217, 3, 219, 8, 224, 18, 234, 10, 226, 4, 220)(2, 218, 5, 221, 12, 228, 25, 241, 14, 230, 6, 222)(7, 223, 15, 231, 30, 246, 57, 273, 32, 248, 16, 232)(9, 225, 19, 235, 37, 253, 65, 281, 39, 255, 20, 236)(11, 227, 22, 238, 43, 259, 71, 287, 45, 261, 23, 239)(13, 229, 26, 242, 50, 266, 79, 295, 52, 268, 27, 243)(17, 233, 33, 249, 60, 276, 90, 306, 61, 277, 34, 250)(21, 237, 40, 256, 67, 283, 96, 312, 68, 284, 41, 257)(24, 240, 46, 262, 74, 290, 104, 320, 75, 291, 47, 263)(28, 244, 53, 269, 81, 297, 110, 326, 82, 298, 54, 270)(29, 245, 55, 271, 36, 252, 64, 280, 85, 301, 56, 272)(31, 247, 58, 274, 38, 254, 66, 282, 89, 305, 59, 275)(35, 251, 62, 278, 91, 307, 119, 335, 92, 308, 63, 279)(42, 258, 69, 285, 49, 265, 78, 294, 99, 315, 70, 286)(44, 260, 72, 288, 51, 267, 80, 296, 103, 319, 73, 289)(48, 264, 76, 292, 105, 321, 132, 348, 106, 322, 77, 293)(83, 299, 111, 327, 87, 303, 117, 333, 139, 355, 112, 328)(84, 300, 113, 329, 88, 304, 118, 334, 142, 358, 114, 330)(86, 302, 115, 331, 94, 310, 122, 338, 143, 359, 116, 332)(93, 309, 120, 336, 95, 311, 123, 339, 148, 364, 121, 337)(97, 313, 124, 340, 101, 317, 130, 346, 152, 368, 125, 341)(98, 314, 126, 342, 102, 318, 131, 347, 155, 371, 127, 343)(100, 316, 128, 344, 108, 324, 135, 351, 156, 372, 129, 345)(107, 323, 133, 349, 109, 325, 136, 352, 161, 377, 134, 350)(137, 353, 163, 379, 140, 356, 167, 383, 146, 362, 164, 380)(138, 354, 165, 381, 141, 357, 168, 384, 147, 363, 166, 382)(144, 360, 169, 385, 145, 361, 171, 387, 149, 365, 170, 386)(150, 366, 172, 388, 153, 369, 176, 392, 159, 375, 173, 389)(151, 367, 174, 390, 154, 370, 177, 393, 160, 376, 175, 391)(157, 373, 178, 394, 158, 374, 180, 396, 162, 378, 179, 395)(181, 397, 199, 415, 183, 399, 203, 419, 187, 403, 200, 416)(182, 398, 201, 417, 184, 400, 204, 420, 188, 404, 202, 418)(185, 401, 205, 421, 186, 402, 207, 423, 189, 405, 206, 422)(190, 406, 208, 424, 192, 408, 212, 428, 196, 412, 209, 425)(191, 407, 210, 426, 193, 409, 213, 429, 197, 413, 211, 427)(194, 410, 214, 430, 195, 411, 216, 432, 198, 414, 215, 431)
	L = (1, 218)(2, 217)(3, 223)(4, 225)(5, 227)(6, 229)(7, 219)(8, 233)(9, 220)(10, 237)(11, 221)(12, 240)(13, 222)(14, 244)(15, 245)(16, 247)(17, 224)(18, 251)(19, 252)(20, 254)(21, 226)(22, 258)(23, 260)(24, 228)(25, 264)(26, 265)(27, 267)(28, 230)(29, 231)(30, 269)(31, 232)(32, 262)(33, 261)(34, 268)(35, 234)(36, 235)(37, 270)(38, 236)(39, 263)(40, 259)(41, 266)(42, 238)(43, 256)(44, 239)(45, 249)(46, 248)(47, 255)(48, 241)(49, 242)(50, 257)(51, 243)(52, 250)(53, 246)(54, 253)(55, 299)(56, 300)(57, 302)(58, 303)(59, 304)(60, 290)(61, 297)(62, 301)(63, 305)(64, 309)(65, 310)(66, 311)(67, 291)(68, 298)(69, 313)(70, 314)(71, 316)(72, 317)(73, 318)(74, 276)(75, 283)(76, 315)(77, 319)(78, 323)(79, 324)(80, 325)(81, 277)(82, 284)(83, 271)(84, 272)(85, 278)(86, 273)(87, 274)(88, 275)(89, 279)(90, 322)(91, 326)(92, 320)(93, 280)(94, 281)(95, 282)(96, 321)(97, 285)(98, 286)(99, 292)(100, 287)(101, 288)(102, 289)(103, 293)(104, 308)(105, 312)(106, 306)(107, 294)(108, 295)(109, 296)(110, 307)(111, 353)(112, 354)(113, 356)(114, 357)(115, 355)(116, 358)(117, 360)(118, 361)(119, 359)(120, 362)(121, 363)(122, 364)(123, 365)(124, 366)(125, 367)(126, 369)(127, 370)(128, 368)(129, 371)(130, 373)(131, 374)(132, 372)(133, 375)(134, 376)(135, 377)(136, 378)(137, 327)(138, 328)(139, 331)(140, 329)(141, 330)(142, 332)(143, 335)(144, 333)(145, 334)(146, 336)(147, 337)(148, 338)(149, 339)(150, 340)(151, 341)(152, 344)(153, 342)(154, 343)(155, 345)(156, 348)(157, 346)(158, 347)(159, 349)(160, 350)(161, 351)(162, 352)(163, 397)(164, 398)(165, 399)(166, 400)(167, 401)(168, 402)(169, 403)(170, 404)(171, 405)(172, 406)(173, 407)(174, 408)(175, 409)(176, 410)(177, 411)(178, 412)(179, 413)(180, 414)(181, 379)(182, 380)(183, 381)(184, 382)(185, 383)(186, 384)(187, 385)(188, 386)(189, 387)(190, 388)(191, 389)(192, 390)(193, 391)(194, 392)(195, 393)(196, 394)(197, 395)(198, 396)(199, 427)(200, 425)(201, 426)(202, 424)(203, 431)(204, 430)(205, 429)(206, 428)(207, 432)(208, 418)(209, 416)(210, 417)(211, 415)(212, 422)(213, 421)(214, 420)(215, 419)(216, 423)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3134
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 36 e = 216 f = 126
	degree seq :: [ 12^36 ]

E28.3136 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 12})
Quotient :: loop
Aut^+ = (C3 x ((C3 x C3) : C4)) : C2 (small group id <216, 159>)
Aut   = $<432, 756>$ (small group id <432, 756>)
|r| :: 2
Presentation :: [ F^2, (T1^-1 * T2^-1)^2, (T2^-1 * T1^-1)^2, (F * T1)^2, (F * T2)^2, T1^6, T2 * T1^-1 * T2^2 * T1^-2 * T2^-1 * T1, (T2 * T1^-1 * T2 * T1^-2)^2, T2^12 ]
Map::
	R = (1, 217, 3, 219, 10, 226, 26, 242, 61, 277, 107, 323, 149, 365, 118, 334, 76, 292, 38, 254, 15, 231, 5, 221)(2, 218, 7, 223, 19, 235, 46, 262, 90, 306, 133, 349, 175, 391, 138, 354, 98, 314, 54, 270, 22, 238, 8, 224)(4, 220, 12, 228, 31, 247, 68, 284, 112, 328, 154, 370, 183, 399, 143, 359, 102, 318, 57, 273, 24, 240, 9, 225)(6, 222, 17, 233, 41, 257, 81, 297, 124, 340, 166, 382, 197, 413, 169, 385, 128, 344, 87, 303, 44, 260, 18, 234)(11, 227, 28, 244, 63, 279, 37, 253, 75, 291, 117, 333, 158, 374, 186, 402, 146, 362, 104, 320, 59, 275, 25, 241)(13, 229, 33, 249, 58, 274, 101, 317, 142, 358, 182, 398, 208, 424, 189, 405, 151, 367, 110, 326, 66, 282, 30, 246)(14, 230, 35, 251, 73, 289, 115, 331, 157, 373, 188, 404, 148, 364, 106, 322, 60, 276, 27, 243, 42, 258, 36, 252)(16, 232, 39, 255, 77, 293, 119, 335, 160, 376, 194, 410, 212, 428, 195, 411, 163, 379, 122, 338, 80, 296, 40, 256)(20, 236, 48, 264, 23, 239, 53, 269, 97, 313, 137, 353, 179, 395, 201, 417, 172, 388, 130, 346, 88, 304, 45, 261)(21, 237, 51, 267, 95, 311, 135, 351, 178, 394, 203, 419, 174, 390, 132, 348, 89, 305, 47, 263, 78, 294, 52, 268)(29, 245, 65, 281, 105, 321, 145, 361, 185, 401, 210, 426, 191, 407, 155, 371, 114, 330, 72, 288, 34, 250, 62, 278)(32, 248, 69, 285, 79, 295, 56, 272, 100, 316, 141, 357, 181, 397, 207, 423, 190, 406, 153, 369, 111, 327, 67, 283)(43, 259, 85, 301, 127, 343, 167, 383, 198, 414, 213, 429, 196, 412, 165, 381, 123, 339, 82, 298, 71, 287, 86, 302)(49, 265, 93, 309, 131, 347, 171, 387, 200, 416, 215, 431, 204, 420, 176, 392, 134, 350, 94, 310, 50, 266, 91, 307)(55, 271, 92, 308, 70, 286, 113, 329, 129, 345, 170, 386, 199, 415, 214, 430, 206, 422, 180, 396, 140, 356, 99, 315)(64, 280, 109, 325, 139, 355, 103, 319, 144, 360, 184, 400, 209, 425, 193, 409, 159, 375, 168, 384, 150, 366, 108, 324)(74, 290, 83, 299, 125, 341, 164, 380, 147, 363, 187, 403, 211, 427, 192, 408, 156, 372, 116, 332, 126, 342, 84, 300)(96, 312, 120, 336, 161, 377, 152, 368, 173, 389, 202, 418, 216, 432, 205, 421, 177, 393, 136, 352, 162, 378, 121, 337)
	L = (1, 218)(2, 222)(3, 225)(4, 217)(5, 230)(6, 232)(7, 221)(8, 237)(9, 239)(10, 241)(11, 219)(12, 246)(13, 220)(14, 250)(15, 253)(16, 229)(17, 224)(18, 259)(19, 261)(20, 223)(21, 266)(22, 269)(23, 271)(24, 272)(25, 274)(26, 276)(27, 226)(28, 278)(29, 227)(30, 279)(31, 283)(32, 228)(33, 256)(34, 265)(35, 231)(36, 290)(37, 282)(38, 284)(39, 234)(40, 295)(41, 243)(42, 233)(43, 300)(44, 251)(45, 247)(46, 305)(47, 235)(48, 307)(49, 236)(50, 299)(51, 238)(52, 312)(53, 240)(54, 242)(55, 245)(56, 296)(57, 317)(58, 298)(59, 319)(60, 321)(61, 314)(62, 252)(63, 324)(64, 244)(65, 315)(66, 301)(67, 293)(68, 304)(69, 308)(70, 248)(71, 249)(72, 329)(73, 303)(74, 302)(75, 254)(76, 306)(77, 263)(78, 255)(79, 337)(80, 267)(81, 339)(82, 257)(83, 258)(84, 336)(85, 260)(86, 280)(87, 262)(88, 345)(89, 347)(90, 344)(91, 268)(92, 264)(93, 288)(94, 281)(95, 338)(96, 285)(97, 270)(98, 340)(99, 355)(100, 273)(101, 275)(102, 277)(103, 356)(104, 361)(105, 350)(106, 363)(107, 359)(108, 286)(109, 287)(110, 335)(111, 368)(112, 292)(113, 366)(114, 291)(115, 372)(116, 289)(117, 371)(118, 373)(119, 327)(120, 294)(121, 325)(122, 297)(123, 380)(124, 379)(125, 310)(126, 309)(127, 326)(128, 376)(129, 330)(130, 387)(131, 332)(132, 389)(133, 334)(134, 313)(135, 393)(136, 311)(137, 392)(138, 394)(139, 378)(140, 316)(141, 396)(142, 318)(143, 395)(144, 320)(145, 322)(146, 323)(147, 381)(148, 382)(149, 402)(150, 377)(151, 328)(152, 384)(153, 386)(154, 405)(155, 331)(156, 383)(157, 407)(158, 409)(159, 333)(160, 367)(161, 342)(162, 341)(163, 358)(164, 352)(165, 360)(166, 354)(167, 375)(168, 343)(169, 414)(170, 346)(171, 348)(172, 349)(173, 369)(174, 410)(175, 417)(176, 351)(177, 357)(178, 420)(179, 422)(180, 353)(181, 421)(182, 411)(183, 423)(184, 412)(185, 362)(186, 424)(187, 364)(188, 365)(189, 374)(190, 370)(191, 416)(192, 418)(193, 415)(194, 385)(195, 397)(196, 398)(197, 404)(198, 408)(199, 406)(200, 388)(201, 399)(202, 390)(203, 391)(204, 403)(205, 400)(206, 401)(207, 428)(208, 429)(209, 432)(210, 430)(211, 431)(212, 419)(213, 413)(214, 425)(215, 426)(216, 427)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.3132
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 18 e = 216 f = 144
	degree seq :: [ 24^18 ]

E28.3137 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 12})
Quotient :: loop
Aut^+ = (C3 x ((C3 x C3) : C4)) : C2 (small group id <216, 159>)
Aut   = $<432, 756>$ (small group id <432, 756>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-2, (T1^-1 * T2)^6, T1^12 ]
Map:: polytopal non-degenerate
	R = (1, 217, 3, 219)(2, 218, 6, 222)(4, 220, 9, 225)(5, 221, 12, 228)(7, 223, 16, 232)(8, 224, 17, 233)(10, 226, 21, 237)(11, 227, 24, 240)(13, 229, 28, 244)(14, 230, 29, 245)(15, 231, 32, 248)(18, 234, 37, 253)(19, 235, 40, 256)(20, 236, 41, 257)(22, 238, 45, 261)(23, 239, 48, 264)(25, 241, 52, 268)(26, 242, 53, 269)(27, 243, 56, 272)(30, 246, 61, 277)(31, 247, 64, 280)(33, 249, 67, 283)(34, 250, 55, 271)(35, 251, 49, 265)(36, 252, 70, 286)(38, 254, 59, 275)(39, 255, 75, 291)(42, 258, 77, 293)(43, 259, 79, 295)(44, 260, 58, 274)(46, 262, 63, 279)(47, 263, 83, 299)(50, 266, 85, 301)(51, 267, 87, 303)(54, 270, 91, 307)(57, 273, 95, 311)(60, 276, 98, 314)(62, 278, 89, 305)(65, 281, 104, 320)(66, 282, 105, 321)(68, 284, 109, 325)(69, 285, 112, 328)(71, 287, 113, 329)(72, 288, 115, 331)(73, 289, 108, 324)(74, 290, 117, 333)(76, 292, 107, 323)(78, 294, 124, 340)(80, 296, 126, 342)(81, 297, 116, 332)(82, 298, 127, 343)(84, 300, 129, 345)(86, 302, 133, 349)(88, 304, 137, 353)(90, 306, 139, 355)(92, 308, 131, 347)(93, 309, 143, 359)(94, 310, 144, 360)(96, 312, 147, 363)(97, 313, 150, 366)(99, 315, 152, 368)(100, 316, 146, 362)(101, 317, 153, 369)(102, 318, 154, 370)(103, 319, 156, 372)(106, 322, 159, 375)(110, 326, 157, 373)(111, 327, 164, 380)(114, 330, 168, 384)(118, 334, 158, 374)(119, 335, 171, 387)(120, 336, 163, 379)(121, 337, 161, 377)(122, 338, 166, 382)(123, 339, 174, 390)(125, 341, 177, 393)(128, 344, 178, 394)(130, 346, 180, 396)(132, 348, 182, 398)(134, 350, 179, 395)(135, 351, 186, 402)(136, 352, 187, 403)(138, 354, 191, 407)(140, 356, 193, 409)(141, 357, 189, 405)(142, 358, 194, 410)(145, 361, 196, 412)(148, 364, 195, 411)(149, 365, 199, 415)(151, 367, 202, 418)(155, 371, 204, 420)(160, 376, 203, 419)(162, 378, 197, 413)(165, 381, 184, 400)(167, 383, 200, 416)(169, 385, 206, 422)(170, 386, 205, 421)(172, 388, 207, 423)(173, 389, 209, 425)(175, 391, 198, 414)(176, 392, 208, 424)(181, 397, 210, 426)(183, 399, 211, 427)(185, 401, 212, 428)(188, 404, 213, 429)(190, 406, 214, 430)(192, 408, 216, 432)(201, 417, 215, 431)
	L = (1, 218)(2, 221)(3, 223)(4, 217)(5, 227)(6, 229)(7, 231)(8, 219)(9, 235)(10, 220)(11, 239)(12, 241)(13, 243)(14, 222)(15, 247)(16, 249)(17, 251)(18, 224)(19, 255)(20, 225)(21, 259)(22, 226)(23, 263)(24, 265)(25, 267)(26, 228)(27, 271)(28, 273)(29, 275)(30, 230)(31, 279)(32, 281)(33, 276)(34, 232)(35, 285)(36, 233)(37, 288)(38, 234)(39, 290)(40, 287)(41, 268)(42, 236)(43, 294)(44, 237)(45, 296)(46, 238)(47, 298)(48, 254)(49, 258)(50, 240)(51, 260)(52, 304)(53, 305)(54, 242)(55, 261)(56, 309)(57, 306)(58, 244)(59, 313)(60, 245)(61, 315)(62, 246)(63, 317)(64, 256)(65, 319)(66, 248)(67, 323)(68, 250)(69, 327)(70, 320)(71, 252)(72, 330)(73, 253)(74, 332)(75, 334)(76, 257)(77, 337)(78, 339)(79, 336)(80, 341)(81, 262)(82, 297)(83, 278)(84, 264)(85, 347)(86, 266)(87, 351)(88, 348)(89, 354)(90, 269)(91, 356)(92, 270)(93, 358)(94, 272)(95, 286)(96, 274)(97, 365)(98, 359)(99, 367)(100, 277)(101, 346)(102, 280)(103, 289)(104, 360)(105, 373)(106, 282)(107, 374)(108, 283)(109, 378)(110, 284)(111, 345)(112, 355)(113, 363)(114, 383)(115, 362)(116, 350)(117, 295)(118, 386)(119, 291)(120, 292)(121, 389)(122, 293)(123, 343)(124, 391)(125, 344)(126, 364)(127, 308)(128, 299)(129, 395)(130, 300)(131, 397)(132, 301)(133, 399)(134, 302)(135, 401)(136, 303)(137, 314)(138, 406)(139, 402)(140, 408)(141, 307)(142, 316)(143, 403)(144, 411)(145, 310)(146, 311)(147, 414)(148, 312)(149, 394)(150, 398)(151, 417)(152, 405)(153, 326)(154, 419)(155, 318)(156, 421)(157, 422)(158, 321)(159, 423)(160, 322)(161, 324)(162, 424)(163, 325)(164, 331)(165, 328)(166, 329)(167, 396)(168, 425)(169, 333)(170, 338)(171, 420)(172, 335)(173, 400)(174, 342)(175, 404)(176, 340)(177, 413)(178, 369)(179, 371)(180, 376)(181, 385)(182, 377)(183, 388)(184, 349)(185, 357)(186, 382)(187, 379)(188, 352)(189, 353)(190, 390)(191, 380)(192, 392)(193, 381)(194, 372)(195, 370)(196, 375)(197, 361)(198, 387)(199, 368)(200, 366)(201, 393)(202, 384)(203, 431)(204, 430)(205, 429)(206, 427)(207, 432)(208, 426)(209, 428)(210, 415)(211, 416)(212, 410)(213, 412)(214, 409)(215, 407)(216, 418)
	local type(s) :: { ( 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3133
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 108 e = 216 f = 54
	degree seq :: [ 4^108 ]

E28.3138 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = (C3 x ((C3 x C3) : C4)) : C2 (small group id <216, 159>)
Aut   = $<432, 756>$ (small group id <432, 756>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^6, (R * Y2^2 * Y1)^2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2 * Y1 * Y2^-1, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 217, 2, 218)(3, 219, 7, 223)(4, 220, 9, 225)(5, 221, 11, 227)(6, 222, 13, 229)(8, 224, 17, 233)(10, 226, 21, 237)(12, 228, 24, 240)(14, 230, 28, 244)(15, 231, 29, 245)(16, 232, 31, 247)(18, 234, 35, 251)(19, 235, 36, 252)(20, 236, 38, 254)(22, 238, 42, 258)(23, 239, 44, 260)(25, 241, 48, 264)(26, 242, 49, 265)(27, 243, 51, 267)(30, 246, 53, 269)(32, 248, 46, 262)(33, 249, 45, 261)(34, 250, 52, 268)(37, 253, 54, 270)(39, 255, 47, 263)(40, 256, 43, 259)(41, 257, 50, 266)(55, 271, 83, 299)(56, 272, 84, 300)(57, 273, 86, 302)(58, 274, 87, 303)(59, 275, 88, 304)(60, 276, 74, 290)(61, 277, 81, 297)(62, 278, 85, 301)(63, 279, 89, 305)(64, 280, 93, 309)(65, 281, 94, 310)(66, 282, 95, 311)(67, 283, 75, 291)(68, 284, 82, 298)(69, 285, 97, 313)(70, 286, 98, 314)(71, 287, 100, 316)(72, 288, 101, 317)(73, 289, 102, 318)(76, 292, 99, 315)(77, 293, 103, 319)(78, 294, 107, 323)(79, 295, 108, 324)(80, 296, 109, 325)(90, 306, 106, 322)(91, 307, 110, 326)(92, 308, 104, 320)(96, 312, 105, 321)(111, 327, 137, 353)(112, 328, 138, 354)(113, 329, 140, 356)(114, 330, 141, 357)(115, 331, 139, 355)(116, 332, 142, 358)(117, 333, 144, 360)(118, 334, 145, 361)(119, 335, 143, 359)(120, 336, 146, 362)(121, 337, 147, 363)(122, 338, 148, 364)(123, 339, 149, 365)(124, 340, 150, 366)(125, 341, 151, 367)(126, 342, 153, 369)(127, 343, 154, 370)(128, 344, 152, 368)(129, 345, 155, 371)(130, 346, 157, 373)(131, 347, 158, 374)(132, 348, 156, 372)(133, 349, 159, 375)(134, 350, 160, 376)(135, 351, 161, 377)(136, 352, 162, 378)(163, 379, 181, 397)(164, 380, 182, 398)(165, 381, 183, 399)(166, 382, 184, 400)(167, 383, 185, 401)(168, 384, 186, 402)(169, 385, 187, 403)(170, 386, 188, 404)(171, 387, 189, 405)(172, 388, 190, 406)(173, 389, 191, 407)(174, 390, 192, 408)(175, 391, 193, 409)(176, 392, 194, 410)(177, 393, 195, 411)(178, 394, 196, 412)(179, 395, 197, 413)(180, 396, 198, 414)(199, 415, 211, 427)(200, 416, 209, 425)(201, 417, 210, 426)(202, 418, 208, 424)(203, 419, 215, 431)(204, 420, 214, 430)(205, 421, 213, 429)(206, 422, 212, 428)(207, 423, 216, 432)(433, 649, 435, 651, 440, 656, 450, 666, 442, 658, 436, 652)(434, 650, 437, 653, 444, 660, 457, 673, 446, 662, 438, 654)(439, 655, 447, 663, 462, 678, 489, 705, 464, 680, 448, 664)(441, 657, 451, 667, 469, 685, 497, 713, 471, 687, 452, 668)(443, 659, 454, 670, 475, 691, 503, 719, 477, 693, 455, 671)(445, 661, 458, 674, 482, 698, 511, 727, 484, 700, 459, 675)(449, 665, 465, 681, 492, 708, 522, 738, 493, 709, 466, 682)(453, 669, 472, 688, 499, 715, 528, 744, 500, 716, 473, 689)(456, 672, 478, 694, 506, 722, 536, 752, 507, 723, 479, 695)(460, 676, 485, 701, 513, 729, 542, 758, 514, 730, 486, 702)(461, 677, 487, 703, 468, 684, 496, 712, 517, 733, 488, 704)(463, 679, 490, 706, 470, 686, 498, 714, 521, 737, 491, 707)(467, 683, 494, 710, 523, 739, 551, 767, 524, 740, 495, 711)(474, 690, 501, 717, 481, 697, 510, 726, 531, 747, 502, 718)(476, 692, 504, 720, 483, 699, 512, 728, 535, 751, 505, 721)(480, 696, 508, 724, 537, 753, 564, 780, 538, 754, 509, 725)(515, 731, 543, 759, 519, 735, 549, 765, 571, 787, 544, 760)(516, 732, 545, 761, 520, 736, 550, 766, 574, 790, 546, 762)(518, 734, 547, 763, 526, 742, 554, 770, 575, 791, 548, 764)(525, 741, 552, 768, 527, 743, 555, 771, 580, 796, 553, 769)(529, 745, 556, 772, 533, 749, 562, 778, 584, 800, 557, 773)(530, 746, 558, 774, 534, 750, 563, 779, 587, 803, 559, 775)(532, 748, 560, 776, 540, 756, 567, 783, 588, 804, 561, 777)(539, 755, 565, 781, 541, 757, 568, 784, 593, 809, 566, 782)(569, 785, 595, 811, 572, 788, 599, 815, 578, 794, 596, 812)(570, 786, 597, 813, 573, 789, 600, 816, 579, 795, 598, 814)(576, 792, 601, 817, 577, 793, 603, 819, 581, 797, 602, 818)(582, 798, 604, 820, 585, 801, 608, 824, 591, 807, 605, 821)(583, 799, 606, 822, 586, 802, 609, 825, 592, 808, 607, 823)(589, 805, 610, 826, 590, 806, 612, 828, 594, 810, 611, 827)(613, 829, 631, 847, 615, 831, 635, 851, 619, 835, 632, 848)(614, 830, 633, 849, 616, 832, 636, 852, 620, 836, 634, 850)(617, 833, 637, 853, 618, 834, 639, 855, 621, 837, 638, 854)(622, 838, 640, 856, 624, 840, 644, 860, 628, 844, 641, 857)(623, 839, 642, 858, 625, 841, 645, 861, 629, 845, 643, 859)(626, 842, 646, 862, 627, 843, 648, 864, 630, 846, 647, 863)
	L = (1, 434)(2, 433)(3, 439)(4, 441)(5, 443)(6, 445)(7, 435)(8, 449)(9, 436)(10, 453)(11, 437)(12, 456)(13, 438)(14, 460)(15, 461)(16, 463)(17, 440)(18, 467)(19, 468)(20, 470)(21, 442)(22, 474)(23, 476)(24, 444)(25, 480)(26, 481)(27, 483)(28, 446)(29, 447)(30, 485)(31, 448)(32, 478)(33, 477)(34, 484)(35, 450)(36, 451)(37, 486)(38, 452)(39, 479)(40, 475)(41, 482)(42, 454)(43, 472)(44, 455)(45, 465)(46, 464)(47, 471)(48, 457)(49, 458)(50, 473)(51, 459)(52, 466)(53, 462)(54, 469)(55, 515)(56, 516)(57, 518)(58, 519)(59, 520)(60, 506)(61, 513)(62, 517)(63, 521)(64, 525)(65, 526)(66, 527)(67, 507)(68, 514)(69, 529)(70, 530)(71, 532)(72, 533)(73, 534)(74, 492)(75, 499)(76, 531)(77, 535)(78, 539)(79, 540)(80, 541)(81, 493)(82, 500)(83, 487)(84, 488)(85, 494)(86, 489)(87, 490)(88, 491)(89, 495)(90, 538)(91, 542)(92, 536)(93, 496)(94, 497)(95, 498)(96, 537)(97, 501)(98, 502)(99, 508)(100, 503)(101, 504)(102, 505)(103, 509)(104, 524)(105, 528)(106, 522)(107, 510)(108, 511)(109, 512)(110, 523)(111, 569)(112, 570)(113, 572)(114, 573)(115, 571)(116, 574)(117, 576)(118, 577)(119, 575)(120, 578)(121, 579)(122, 580)(123, 581)(124, 582)(125, 583)(126, 585)(127, 586)(128, 584)(129, 587)(130, 589)(131, 590)(132, 588)(133, 591)(134, 592)(135, 593)(136, 594)(137, 543)(138, 544)(139, 547)(140, 545)(141, 546)(142, 548)(143, 551)(144, 549)(145, 550)(146, 552)(147, 553)(148, 554)(149, 555)(150, 556)(151, 557)(152, 560)(153, 558)(154, 559)(155, 561)(156, 564)(157, 562)(158, 563)(159, 565)(160, 566)(161, 567)(162, 568)(163, 613)(164, 614)(165, 615)(166, 616)(167, 617)(168, 618)(169, 619)(170, 620)(171, 621)(172, 622)(173, 623)(174, 624)(175, 625)(176, 626)(177, 627)(178, 628)(179, 629)(180, 630)(181, 595)(182, 596)(183, 597)(184, 598)(185, 599)(186, 600)(187, 601)(188, 602)(189, 603)(190, 604)(191, 605)(192, 606)(193, 607)(194, 608)(195, 609)(196, 610)(197, 611)(198, 612)(199, 643)(200, 641)(201, 642)(202, 640)(203, 647)(204, 646)(205, 645)(206, 644)(207, 648)(208, 634)(209, 632)(210, 633)(211, 631)(212, 638)(213, 637)(214, 636)(215, 635)(216, 639)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.3141
Graph:: bipartite
	v = 144 e = 432 f = 234
	degree seq :: [ 4^108, 12^36 ]

E28.3139 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = (C3 x ((C3 x C3) : C4)) : C2 (small group id <216, 159>)
Aut   = $<432, 756>$ (small group id <432, 756>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2 * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, Y1^6, Y2^-2 * Y1^-2 * Y2^2 * Y1^-2, (Y2^-2 * Y1 * Y2^-1)^2, (Y2 * Y1^-1 * Y2 * Y1^-2)^2, Y2^12 ]
Map::
	R = (1, 217, 2, 218, 6, 222, 16, 232, 13, 229, 4, 220)(3, 219, 9, 225, 23, 239, 55, 271, 29, 245, 11, 227)(5, 221, 14, 230, 34, 250, 49, 265, 20, 236, 7, 223)(8, 224, 21, 237, 50, 266, 83, 299, 42, 258, 17, 233)(10, 226, 25, 241, 58, 274, 82, 298, 41, 257, 27, 243)(12, 228, 30, 246, 63, 279, 108, 324, 70, 286, 32, 248)(15, 231, 37, 253, 66, 282, 85, 301, 44, 260, 35, 251)(18, 234, 43, 259, 84, 300, 120, 336, 78, 294, 39, 255)(19, 235, 45, 261, 31, 247, 67, 283, 77, 293, 47, 263)(22, 238, 53, 269, 24, 240, 56, 272, 80, 296, 51, 267)(26, 242, 60, 276, 105, 321, 134, 350, 97, 313, 54, 270)(28, 244, 62, 278, 36, 252, 74, 290, 86, 302, 64, 280)(33, 249, 40, 256, 79, 295, 121, 337, 109, 325, 71, 287)(38, 254, 68, 284, 88, 304, 129, 345, 114, 330, 75, 291)(46, 262, 89, 305, 131, 347, 116, 332, 73, 289, 87, 303)(48, 264, 91, 307, 52, 268, 96, 312, 69, 285, 92, 308)(57, 273, 101, 317, 59, 275, 103, 319, 140, 356, 100, 316)(61, 277, 98, 314, 124, 340, 163, 379, 142, 358, 102, 318)(65, 281, 99, 315, 139, 355, 162, 378, 125, 341, 94, 310)(72, 288, 113, 329, 150, 366, 161, 377, 126, 342, 93, 309)(76, 292, 90, 306, 128, 344, 160, 376, 151, 367, 112, 328)(81, 297, 123, 339, 164, 380, 136, 352, 95, 311, 122, 338)(104, 320, 145, 361, 106, 322, 147, 363, 165, 381, 144, 360)(107, 323, 143, 359, 179, 395, 206, 422, 185, 401, 146, 362)(110, 326, 119, 335, 111, 327, 152, 368, 168, 384, 127, 343)(115, 331, 156, 372, 167, 383, 159, 375, 117, 333, 155, 371)(118, 334, 157, 373, 191, 407, 200, 416, 172, 388, 133, 349)(130, 346, 171, 387, 132, 348, 173, 389, 153, 369, 170, 386)(135, 351, 177, 393, 141, 357, 180, 396, 137, 353, 176, 392)(138, 354, 178, 394, 204, 420, 187, 403, 148, 364, 166, 382)(149, 365, 186, 402, 208, 424, 213, 429, 197, 413, 188, 404)(154, 370, 189, 405, 158, 374, 193, 409, 199, 415, 190, 406)(169, 385, 198, 414, 192, 408, 202, 418, 174, 390, 194, 410)(175, 391, 201, 417, 183, 399, 207, 423, 212, 428, 203, 419)(181, 397, 205, 421, 184, 400, 196, 412, 182, 398, 195, 411)(209, 425, 216, 432, 211, 427, 215, 431, 210, 426, 214, 430)(433, 649, 435, 651, 442, 658, 458, 674, 493, 709, 539, 755, 581, 797, 550, 766, 508, 724, 470, 686, 447, 663, 437, 653)(434, 650, 439, 655, 451, 667, 478, 694, 522, 738, 565, 781, 607, 823, 570, 786, 530, 746, 486, 702, 454, 670, 440, 656)(436, 652, 444, 660, 463, 679, 500, 716, 544, 760, 586, 802, 615, 831, 575, 791, 534, 750, 489, 705, 456, 672, 441, 657)(438, 654, 449, 665, 473, 689, 513, 729, 556, 772, 598, 814, 629, 845, 601, 817, 560, 776, 519, 735, 476, 692, 450, 666)(443, 659, 460, 676, 495, 711, 469, 685, 507, 723, 549, 765, 590, 806, 618, 834, 578, 794, 536, 752, 491, 707, 457, 673)(445, 661, 465, 681, 490, 706, 533, 749, 574, 790, 614, 830, 640, 856, 621, 837, 583, 799, 542, 758, 498, 714, 462, 678)(446, 662, 467, 683, 505, 721, 547, 763, 589, 805, 620, 836, 580, 796, 538, 754, 492, 708, 459, 675, 474, 690, 468, 684)(448, 664, 471, 687, 509, 725, 551, 767, 592, 808, 626, 842, 644, 860, 627, 843, 595, 811, 554, 770, 512, 728, 472, 688)(452, 668, 480, 696, 455, 671, 485, 701, 529, 745, 569, 785, 611, 827, 633, 849, 604, 820, 562, 778, 520, 736, 477, 693)(453, 669, 483, 699, 527, 743, 567, 783, 610, 826, 635, 851, 606, 822, 564, 780, 521, 737, 479, 695, 510, 726, 484, 700)(461, 677, 497, 713, 537, 753, 577, 793, 617, 833, 642, 858, 623, 839, 587, 803, 546, 762, 504, 720, 466, 682, 494, 710)(464, 680, 501, 717, 511, 727, 488, 704, 532, 748, 573, 789, 613, 829, 639, 855, 622, 838, 585, 801, 543, 759, 499, 715)(475, 691, 517, 733, 559, 775, 599, 815, 630, 846, 645, 861, 628, 844, 597, 813, 555, 771, 514, 730, 503, 719, 518, 734)(481, 697, 525, 741, 563, 779, 603, 819, 632, 848, 647, 863, 636, 852, 608, 824, 566, 782, 526, 742, 482, 698, 523, 739)(487, 703, 524, 740, 502, 718, 545, 761, 561, 777, 602, 818, 631, 847, 646, 862, 638, 854, 612, 828, 572, 788, 531, 747)(496, 712, 541, 757, 571, 787, 535, 751, 576, 792, 616, 832, 641, 857, 625, 841, 591, 807, 600, 816, 582, 798, 540, 756)(506, 722, 515, 731, 557, 773, 596, 812, 579, 795, 619, 835, 643, 859, 624, 840, 588, 804, 548, 764, 558, 774, 516, 732)(528, 744, 552, 768, 593, 809, 584, 800, 605, 821, 634, 850, 648, 864, 637, 853, 609, 825, 568, 784, 594, 810, 553, 769)
	L = (1, 435)(2, 439)(3, 442)(4, 444)(5, 433)(6, 449)(7, 451)(8, 434)(9, 436)(10, 458)(11, 460)(12, 463)(13, 465)(14, 467)(15, 437)(16, 471)(17, 473)(18, 438)(19, 478)(20, 480)(21, 483)(22, 440)(23, 485)(24, 441)(25, 443)(26, 493)(27, 474)(28, 495)(29, 497)(30, 445)(31, 500)(32, 501)(33, 490)(34, 494)(35, 505)(36, 446)(37, 507)(38, 447)(39, 509)(40, 448)(41, 513)(42, 468)(43, 517)(44, 450)(45, 452)(46, 522)(47, 510)(48, 455)(49, 525)(50, 523)(51, 527)(52, 453)(53, 529)(54, 454)(55, 524)(56, 532)(57, 456)(58, 533)(59, 457)(60, 459)(61, 539)(62, 461)(63, 469)(64, 541)(65, 537)(66, 462)(67, 464)(68, 544)(69, 511)(70, 545)(71, 518)(72, 466)(73, 547)(74, 515)(75, 549)(76, 470)(77, 551)(78, 484)(79, 488)(80, 472)(81, 556)(82, 503)(83, 557)(84, 506)(85, 559)(86, 475)(87, 476)(88, 477)(89, 479)(90, 565)(91, 481)(92, 502)(93, 563)(94, 482)(95, 567)(96, 552)(97, 569)(98, 486)(99, 487)(100, 573)(101, 574)(102, 489)(103, 576)(104, 491)(105, 577)(106, 492)(107, 581)(108, 496)(109, 571)(110, 498)(111, 499)(112, 586)(113, 561)(114, 504)(115, 589)(116, 558)(117, 590)(118, 508)(119, 592)(120, 593)(121, 528)(122, 512)(123, 514)(124, 598)(125, 596)(126, 516)(127, 599)(128, 519)(129, 602)(130, 520)(131, 603)(132, 521)(133, 607)(134, 526)(135, 610)(136, 594)(137, 611)(138, 530)(139, 535)(140, 531)(141, 613)(142, 614)(143, 534)(144, 616)(145, 617)(146, 536)(147, 619)(148, 538)(149, 550)(150, 540)(151, 542)(152, 605)(153, 543)(154, 615)(155, 546)(156, 548)(157, 620)(158, 618)(159, 600)(160, 626)(161, 584)(162, 553)(163, 554)(164, 579)(165, 555)(166, 629)(167, 630)(168, 582)(169, 560)(170, 631)(171, 632)(172, 562)(173, 634)(174, 564)(175, 570)(176, 566)(177, 568)(178, 635)(179, 633)(180, 572)(181, 639)(182, 640)(183, 575)(184, 641)(185, 642)(186, 578)(187, 643)(188, 580)(189, 583)(190, 585)(191, 587)(192, 588)(193, 591)(194, 644)(195, 595)(196, 597)(197, 601)(198, 645)(199, 646)(200, 647)(201, 604)(202, 648)(203, 606)(204, 608)(205, 609)(206, 612)(207, 622)(208, 621)(209, 625)(210, 623)(211, 624)(212, 627)(213, 628)(214, 638)(215, 636)(216, 637)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.3140
Graph:: bipartite
	v = 54 e = 432 f = 324
	degree seq :: [ 12^36, 24^18 ]

E28.3140 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = (C3 x ((C3 x C3) : C4)) : C2 (small group id <216, 159>)
Aut   = $<432, 756>$ (small group id <432, 756>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-2, Y3^12, (Y3 * Y2)^6, Y3^4 * Y2 * Y3^-1 * Y2 * Y3^4 * Y2 * Y3^-3 * Y2, (Y3^-1 * Y1^-1)^12 ]
Map:: polytopal
	R = (1, 217)(2, 218)(3, 219)(4, 220)(5, 221)(6, 222)(7, 223)(8, 224)(9, 225)(10, 226)(11, 227)(12, 228)(13, 229)(14, 230)(15, 231)(16, 232)(17, 233)(18, 234)(19, 235)(20, 236)(21, 237)(22, 238)(23, 239)(24, 240)(25, 241)(26, 242)(27, 243)(28, 244)(29, 245)(30, 246)(31, 247)(32, 248)(33, 249)(34, 250)(35, 251)(36, 252)(37, 253)(38, 254)(39, 255)(40, 256)(41, 257)(42, 258)(43, 259)(44, 260)(45, 261)(46, 262)(47, 263)(48, 264)(49, 265)(50, 266)(51, 267)(52, 268)(53, 269)(54, 270)(55, 271)(56, 272)(57, 273)(58, 274)(59, 275)(60, 276)(61, 277)(62, 278)(63, 279)(64, 280)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 289)(74, 290)(75, 291)(76, 292)(77, 293)(78, 294)(79, 295)(80, 296)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 305)(90, 306)(91, 307)(92, 308)(93, 309)(94, 310)(95, 311)(96, 312)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 321)(106, 322)(107, 323)(108, 324)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)(433, 649, 434, 650)(435, 651, 439, 655)(436, 652, 441, 657)(437, 653, 443, 659)(438, 654, 445, 661)(440, 656, 449, 665)(442, 658, 453, 669)(444, 660, 457, 673)(446, 662, 461, 677)(447, 663, 463, 679)(448, 664, 465, 681)(450, 666, 469, 685)(451, 667, 471, 687)(452, 668, 473, 689)(454, 670, 477, 693)(455, 671, 479, 695)(456, 672, 481, 697)(458, 674, 485, 701)(459, 675, 487, 703)(460, 676, 489, 705)(462, 678, 493, 709)(464, 680, 497, 713)(466, 682, 498, 714)(467, 683, 500, 716)(468, 684, 502, 718)(470, 686, 494, 710)(472, 688, 506, 722)(474, 690, 509, 725)(475, 691, 510, 726)(476, 692, 496, 712)(478, 694, 486, 702)(480, 696, 516, 732)(482, 698, 517, 733)(483, 699, 519, 735)(484, 700, 521, 737)(488, 704, 525, 741)(490, 706, 528, 744)(491, 707, 529, 745)(492, 708, 515, 731)(495, 711, 527, 743)(499, 715, 539, 755)(501, 717, 542, 758)(503, 719, 543, 759)(504, 720, 545, 761)(505, 721, 540, 756)(507, 723, 550, 766)(508, 724, 514, 730)(511, 727, 555, 771)(512, 728, 557, 773)(513, 729, 551, 767)(518, 734, 565, 781)(520, 736, 568, 784)(522, 738, 569, 785)(523, 739, 571, 787)(524, 740, 566, 782)(526, 742, 576, 792)(530, 746, 581, 797)(531, 747, 583, 799)(532, 748, 577, 793)(533, 749, 574, 790)(534, 750, 579, 795)(535, 751, 561, 777)(536, 752, 567, 783)(537, 753, 588, 804)(538, 754, 578, 794)(541, 757, 562, 778)(544, 760, 597, 813)(546, 762, 599, 815)(547, 763, 598, 814)(548, 764, 559, 775)(549, 765, 602, 818)(552, 768, 564, 780)(553, 769, 560, 776)(554, 770, 580, 796)(556, 772, 608, 824)(558, 774, 609, 825)(563, 779, 613, 829)(570, 786, 622, 838)(572, 788, 624, 840)(573, 789, 623, 839)(575, 791, 627, 843)(582, 798, 633, 849)(584, 800, 634, 850)(585, 801, 617, 833)(586, 802, 619, 835)(587, 803, 621, 837)(589, 805, 632, 848)(590, 806, 629, 845)(591, 807, 616, 832)(592, 808, 610, 826)(593, 809, 626, 842)(594, 810, 611, 827)(595, 811, 628, 844)(596, 812, 612, 828)(600, 816, 625, 841)(601, 817, 618, 834)(603, 819, 620, 836)(604, 820, 615, 831)(605, 821, 631, 847)(606, 822, 630, 846)(607, 823, 614, 830)(635, 851, 647, 863)(636, 852, 648, 864)(637, 853, 645, 861)(638, 854, 644, 860)(639, 855, 646, 862)(640, 856, 642, 858)(641, 857, 643, 859)
	L = (1, 435)(2, 437)(3, 440)(4, 433)(5, 444)(6, 434)(7, 447)(8, 450)(9, 451)(10, 436)(11, 455)(12, 458)(13, 459)(14, 438)(15, 464)(16, 439)(17, 467)(18, 470)(19, 472)(20, 441)(21, 475)(22, 442)(23, 480)(24, 443)(25, 483)(26, 486)(27, 488)(28, 445)(29, 491)(30, 446)(31, 495)(32, 481)(33, 493)(34, 448)(35, 501)(36, 449)(37, 487)(38, 505)(39, 490)(40, 507)(41, 500)(42, 452)(43, 511)(44, 453)(45, 512)(46, 454)(47, 514)(48, 465)(49, 477)(50, 456)(51, 520)(52, 457)(53, 471)(54, 524)(55, 474)(56, 526)(57, 519)(58, 460)(59, 530)(60, 461)(61, 531)(62, 462)(63, 533)(64, 463)(65, 535)(66, 537)(67, 466)(68, 541)(69, 476)(70, 539)(71, 468)(72, 469)(73, 547)(74, 548)(75, 551)(76, 473)(77, 553)(78, 552)(79, 556)(80, 558)(81, 478)(82, 559)(83, 479)(84, 561)(85, 563)(86, 482)(87, 567)(88, 492)(89, 565)(90, 484)(91, 485)(92, 573)(93, 574)(94, 577)(95, 489)(96, 579)(97, 578)(98, 582)(99, 584)(100, 494)(101, 502)(102, 496)(103, 586)(104, 497)(105, 589)(106, 498)(107, 590)(108, 499)(109, 592)(110, 593)(111, 595)(112, 503)(113, 597)(114, 504)(115, 513)(116, 601)(117, 506)(118, 510)(119, 600)(120, 508)(121, 605)(122, 509)(123, 606)(124, 598)(125, 585)(126, 591)(127, 521)(128, 515)(129, 611)(130, 516)(131, 614)(132, 517)(133, 615)(134, 518)(135, 617)(136, 618)(137, 620)(138, 522)(139, 622)(140, 523)(141, 532)(142, 626)(143, 525)(144, 529)(145, 625)(146, 527)(147, 630)(148, 528)(149, 631)(150, 623)(151, 610)(152, 616)(153, 534)(154, 538)(155, 536)(156, 612)(157, 635)(158, 636)(159, 540)(160, 545)(161, 637)(162, 542)(163, 639)(164, 543)(165, 640)(166, 544)(167, 641)(168, 546)(169, 554)(170, 624)(171, 549)(172, 550)(173, 627)(174, 638)(175, 555)(176, 557)(177, 613)(178, 560)(179, 564)(180, 562)(181, 587)(182, 642)(183, 643)(184, 566)(185, 571)(186, 644)(187, 568)(188, 646)(189, 569)(190, 647)(191, 570)(192, 648)(193, 572)(194, 580)(195, 599)(196, 575)(197, 576)(198, 602)(199, 645)(200, 581)(201, 583)(202, 588)(203, 609)(204, 608)(205, 596)(206, 594)(207, 607)(208, 604)(209, 603)(210, 634)(211, 633)(212, 621)(213, 619)(214, 632)(215, 629)(216, 628)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 12, 24 ), ( 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.3139
Graph:: simple bipartite
	v = 324 e = 432 f = 54
	degree seq :: [ 2^216, 4^108 ]

E28.3141 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = (C3 x ((C3 x C3) : C4)) : C2 (small group id <216, 159>)
Aut   = $<432, 756>$ (small group id <432, 756>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-3, (Y3 * Y1)^6, (Y1 * Y3)^6, Y1^12, (Y3 * Y1^-2 * Y3 * Y1^-1 * Y3 * Y1^-2)^2 ]
Map:: polytopal
	R = (1, 217, 2, 218, 5, 221, 11, 227, 23, 239, 47, 263, 82, 298, 81, 297, 46, 262, 22, 238, 10, 226, 4, 220)(3, 219, 7, 223, 15, 231, 31, 247, 63, 279, 101, 317, 130, 346, 84, 300, 48, 264, 38, 254, 18, 234, 8, 224)(6, 222, 13, 229, 27, 243, 55, 271, 45, 261, 80, 296, 125, 341, 128, 344, 83, 299, 62, 278, 30, 246, 14, 230)(9, 225, 19, 235, 39, 255, 74, 290, 116, 332, 134, 350, 86, 302, 50, 266, 24, 240, 49, 265, 42, 258, 20, 236)(12, 228, 25, 241, 51, 267, 44, 260, 21, 237, 43, 259, 78, 294, 123, 339, 127, 343, 92, 308, 54, 270, 26, 242)(16, 232, 33, 249, 60, 276, 29, 245, 59, 275, 97, 313, 149, 365, 178, 394, 153, 369, 110, 326, 68, 284, 34, 250)(17, 233, 35, 251, 69, 285, 111, 327, 129, 345, 179, 395, 155, 371, 102, 318, 64, 280, 40, 256, 71, 287, 36, 252)(28, 244, 57, 273, 90, 306, 53, 269, 89, 305, 138, 354, 190, 406, 174, 390, 126, 342, 148, 364, 96, 312, 58, 274)(32, 248, 65, 281, 103, 319, 73, 289, 37, 253, 72, 288, 114, 330, 167, 383, 180, 396, 160, 376, 106, 322, 66, 282)(41, 257, 52, 268, 88, 304, 132, 348, 85, 301, 131, 347, 181, 397, 169, 385, 117, 333, 79, 295, 120, 336, 76, 292)(56, 272, 93, 309, 142, 358, 100, 316, 61, 277, 99, 315, 151, 367, 201, 417, 177, 393, 197, 413, 145, 361, 94, 310)(67, 283, 107, 323, 158, 374, 105, 321, 157, 373, 206, 422, 211, 427, 200, 416, 150, 366, 182, 398, 161, 377, 108, 324)(70, 286, 104, 320, 144, 360, 195, 411, 154, 370, 203, 419, 215, 431, 191, 407, 164, 380, 115, 331, 146, 362, 95, 311)(75, 291, 118, 334, 170, 386, 122, 338, 77, 293, 121, 337, 173, 389, 184, 400, 133, 349, 183, 399, 172, 388, 119, 335)(87, 303, 135, 351, 185, 401, 141, 357, 91, 307, 140, 356, 192, 408, 176, 392, 124, 340, 175, 391, 188, 404, 136, 352)(98, 314, 143, 359, 187, 403, 163, 379, 109, 325, 162, 378, 208, 424, 210, 426, 199, 415, 152, 368, 189, 405, 137, 353)(112, 328, 139, 355, 186, 402, 166, 382, 113, 329, 147, 363, 198, 414, 171, 387, 204, 420, 214, 430, 193, 409, 165, 381)(156, 372, 205, 421, 213, 429, 196, 412, 159, 375, 207, 423, 216, 432, 202, 418, 168, 384, 209, 425, 212, 428, 194, 410)(433, 649)(434, 650)(435, 651)(436, 652)(437, 653)(438, 654)(439, 655)(440, 656)(441, 657)(442, 658)(443, 659)(444, 660)(445, 661)(446, 662)(447, 663)(448, 664)(449, 665)(450, 666)(451, 667)(452, 668)(453, 669)(454, 670)(455, 671)(456, 672)(457, 673)(458, 674)(459, 675)(460, 676)(461, 677)(462, 678)(463, 679)(464, 680)(465, 681)(466, 682)(467, 683)(468, 684)(469, 685)(470, 686)(471, 687)(472, 688)(473, 689)(474, 690)(475, 691)(476, 692)(477, 693)(478, 694)(479, 695)(480, 696)(481, 697)(482, 698)(483, 699)(484, 700)(485, 701)(486, 702)(487, 703)(488, 704)(489, 705)(490, 706)(491, 707)(492, 708)(493, 709)(494, 710)(495, 711)(496, 712)(497, 713)(498, 714)(499, 715)(500, 716)(501, 717)(502, 718)(503, 719)(504, 720)(505, 721)(506, 722)(507, 723)(508, 724)(509, 725)(510, 726)(511, 727)(512, 728)(513, 729)(514, 730)(515, 731)(516, 732)(517, 733)(518, 734)(519, 735)(520, 736)(521, 737)(522, 738)(523, 739)(524, 740)(525, 741)(526, 742)(527, 743)(528, 744)(529, 745)(530, 746)(531, 747)(532, 748)(533, 749)(534, 750)(535, 751)(536, 752)(537, 753)(538, 754)(539, 755)(540, 756)(541, 757)(542, 758)(543, 759)(544, 760)(545, 761)(546, 762)(547, 763)(548, 764)(549, 765)(550, 766)(551, 767)(552, 768)(553, 769)(554, 770)(555, 771)(556, 772)(557, 773)(558, 774)(559, 775)(560, 776)(561, 777)(562, 778)(563, 779)(564, 780)(565, 781)(566, 782)(567, 783)(568, 784)(569, 785)(570, 786)(571, 787)(572, 788)(573, 789)(574, 790)(575, 791)(576, 792)(577, 793)(578, 794)(579, 795)(580, 796)(581, 797)(582, 798)(583, 799)(584, 800)(585, 801)(586, 802)(587, 803)(588, 804)(589, 805)(590, 806)(591, 807)(592, 808)(593, 809)(594, 810)(595, 811)(596, 812)(597, 813)(598, 814)(599, 815)(600, 816)(601, 817)(602, 818)(603, 819)(604, 820)(605, 821)(606, 822)(607, 823)(608, 824)(609, 825)(610, 826)(611, 827)(612, 828)(613, 829)(614, 830)(615, 831)(616, 832)(617, 833)(618, 834)(619, 835)(620, 836)(621, 837)(622, 838)(623, 839)(624, 840)(625, 841)(626, 842)(627, 843)(628, 844)(629, 845)(630, 846)(631, 847)(632, 848)(633, 849)(634, 850)(635, 851)(636, 852)(637, 853)(638, 854)(639, 855)(640, 856)(641, 857)(642, 858)(643, 859)(644, 860)(645, 861)(646, 862)(647, 863)(648, 864)
	L = (1, 435)(2, 438)(3, 433)(4, 441)(5, 444)(6, 434)(7, 448)(8, 449)(9, 436)(10, 453)(11, 456)(12, 437)(13, 460)(14, 461)(15, 464)(16, 439)(17, 440)(18, 469)(19, 472)(20, 473)(21, 442)(22, 477)(23, 480)(24, 443)(25, 484)(26, 485)(27, 488)(28, 445)(29, 446)(30, 493)(31, 496)(32, 447)(33, 499)(34, 487)(35, 481)(36, 502)(37, 450)(38, 491)(39, 507)(40, 451)(41, 452)(42, 509)(43, 511)(44, 490)(45, 454)(46, 495)(47, 515)(48, 455)(49, 467)(50, 517)(51, 519)(52, 457)(53, 458)(54, 523)(55, 466)(56, 459)(57, 527)(58, 476)(59, 470)(60, 530)(61, 462)(62, 521)(63, 478)(64, 463)(65, 536)(66, 537)(67, 465)(68, 541)(69, 544)(70, 468)(71, 545)(72, 547)(73, 540)(74, 549)(75, 471)(76, 539)(77, 474)(78, 556)(79, 475)(80, 558)(81, 548)(82, 559)(83, 479)(84, 561)(85, 482)(86, 565)(87, 483)(88, 569)(89, 494)(90, 571)(91, 486)(92, 563)(93, 575)(94, 576)(95, 489)(96, 579)(97, 582)(98, 492)(99, 584)(100, 578)(101, 585)(102, 586)(103, 588)(104, 497)(105, 498)(106, 591)(107, 508)(108, 505)(109, 500)(110, 589)(111, 596)(112, 501)(113, 503)(114, 600)(115, 504)(116, 513)(117, 506)(118, 590)(119, 603)(120, 595)(121, 593)(122, 598)(123, 606)(124, 510)(125, 609)(126, 512)(127, 514)(128, 610)(129, 516)(130, 612)(131, 524)(132, 614)(133, 518)(134, 611)(135, 618)(136, 619)(137, 520)(138, 623)(139, 522)(140, 625)(141, 621)(142, 626)(143, 525)(144, 526)(145, 628)(146, 532)(147, 528)(148, 627)(149, 631)(150, 529)(151, 634)(152, 531)(153, 533)(154, 534)(155, 636)(156, 535)(157, 542)(158, 550)(159, 538)(160, 635)(161, 553)(162, 629)(163, 552)(164, 543)(165, 616)(166, 554)(167, 632)(168, 546)(169, 638)(170, 637)(171, 551)(172, 639)(173, 641)(174, 555)(175, 630)(176, 640)(177, 557)(178, 560)(179, 566)(180, 562)(181, 642)(182, 564)(183, 643)(184, 597)(185, 644)(186, 567)(187, 568)(188, 645)(189, 573)(190, 646)(191, 570)(192, 648)(193, 572)(194, 574)(195, 580)(196, 577)(197, 594)(198, 607)(199, 581)(200, 599)(201, 647)(202, 583)(203, 592)(204, 587)(205, 602)(206, 601)(207, 604)(208, 608)(209, 605)(210, 613)(211, 615)(212, 617)(213, 620)(214, 622)(215, 633)(216, 624)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3138
Graph:: simple bipartite
	v = 234 e = 432 f = 144
	degree seq :: [ 2^216, 24^18 ]

E28.3142 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = (C3 x ((C3 x C3) : C4)) : C2 (small group id <216, 159>)
Aut   = $<432, 756>$ (small group id <432, 756>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, R * Y2^3 * R * Y1 * Y2^3 * Y1, Y1 * Y2 * Y1 * Y2^-1 * R * Y2^-1 * R * Y2^3, (Y2^-2 * Y1 * Y2^-2)^2, Y2 * Y1 * Y2^-1 * R * Y2^3 * R * Y2^-1 * Y1, Y2^12, (Y1 * Y2^-1)^6, (Y3 * Y2^-1)^6, Y2^3 * R * Y2^3 * R * Y2^3 * Y1 * Y2^-3 * Y1 ]
Map::
	R = (1, 217, 2, 218)(3, 219, 7, 223)(4, 220, 9, 225)(5, 221, 11, 227)(6, 222, 13, 229)(8, 224, 17, 233)(10, 226, 21, 237)(12, 228, 25, 241)(14, 230, 29, 245)(15, 231, 31, 247)(16, 232, 33, 249)(18, 234, 37, 253)(19, 235, 39, 255)(20, 236, 41, 257)(22, 238, 45, 261)(23, 239, 47, 263)(24, 240, 49, 265)(26, 242, 53, 269)(27, 243, 55, 271)(28, 244, 57, 273)(30, 246, 61, 277)(32, 248, 65, 281)(34, 250, 66, 282)(35, 251, 68, 284)(36, 252, 70, 286)(38, 254, 62, 278)(40, 256, 74, 290)(42, 258, 77, 293)(43, 259, 78, 294)(44, 260, 64, 280)(46, 262, 54, 270)(48, 264, 84, 300)(50, 266, 85, 301)(51, 267, 87, 303)(52, 268, 89, 305)(56, 272, 93, 309)(58, 274, 96, 312)(59, 275, 97, 313)(60, 276, 83, 299)(63, 279, 95, 311)(67, 283, 107, 323)(69, 285, 110, 326)(71, 287, 111, 327)(72, 288, 113, 329)(73, 289, 108, 324)(75, 291, 118, 334)(76, 292, 82, 298)(79, 295, 123, 339)(80, 296, 125, 341)(81, 297, 119, 335)(86, 302, 133, 349)(88, 304, 136, 352)(90, 306, 137, 353)(91, 307, 139, 355)(92, 308, 134, 350)(94, 310, 144, 360)(98, 314, 149, 365)(99, 315, 151, 367)(100, 316, 145, 361)(101, 317, 142, 358)(102, 318, 147, 363)(103, 319, 129, 345)(104, 320, 135, 351)(105, 321, 156, 372)(106, 322, 146, 362)(109, 325, 130, 346)(112, 328, 165, 381)(114, 330, 167, 383)(115, 331, 166, 382)(116, 332, 127, 343)(117, 333, 170, 386)(120, 336, 132, 348)(121, 337, 128, 344)(122, 338, 148, 364)(124, 340, 176, 392)(126, 342, 177, 393)(131, 347, 181, 397)(138, 354, 190, 406)(140, 356, 192, 408)(141, 357, 191, 407)(143, 359, 195, 411)(150, 366, 201, 417)(152, 368, 202, 418)(153, 369, 185, 401)(154, 370, 187, 403)(155, 371, 189, 405)(157, 373, 200, 416)(158, 374, 197, 413)(159, 375, 184, 400)(160, 376, 178, 394)(161, 377, 194, 410)(162, 378, 179, 395)(163, 379, 196, 412)(164, 380, 180, 396)(168, 384, 193, 409)(169, 385, 186, 402)(171, 387, 188, 404)(172, 388, 183, 399)(173, 389, 199, 415)(174, 390, 198, 414)(175, 391, 182, 398)(203, 419, 215, 431)(204, 420, 216, 432)(205, 421, 213, 429)(206, 422, 212, 428)(207, 423, 214, 430)(208, 424, 210, 426)(209, 425, 211, 427)(433, 649, 435, 651, 440, 656, 450, 666, 470, 686, 505, 721, 547, 763, 513, 729, 478, 694, 454, 670, 442, 658, 436, 652)(434, 650, 437, 653, 444, 660, 458, 674, 486, 702, 524, 740, 573, 789, 532, 748, 494, 710, 462, 678, 446, 662, 438, 654)(439, 655, 447, 663, 464, 680, 481, 697, 477, 693, 512, 728, 558, 774, 591, 807, 540, 756, 499, 715, 466, 682, 448, 664)(441, 657, 451, 667, 472, 688, 507, 723, 551, 767, 600, 816, 546, 762, 504, 720, 469, 685, 487, 703, 474, 690, 452, 668)(443, 659, 455, 671, 480, 696, 465, 681, 493, 709, 531, 747, 584, 800, 616, 832, 566, 782, 518, 734, 482, 698, 456, 672)(445, 661, 459, 675, 488, 704, 526, 742, 577, 793, 625, 841, 572, 788, 523, 739, 485, 701, 471, 687, 490, 706, 460, 676)(449, 665, 467, 683, 501, 717, 476, 692, 453, 669, 475, 691, 511, 727, 556, 772, 598, 814, 544, 760, 503, 719, 468, 684)(457, 673, 483, 699, 520, 736, 492, 708, 461, 677, 491, 707, 530, 746, 582, 798, 623, 839, 570, 786, 522, 738, 484, 700)(463, 679, 495, 711, 533, 749, 502, 718, 539, 755, 590, 806, 636, 852, 608, 824, 557, 773, 585, 801, 534, 750, 496, 712)(473, 689, 500, 716, 541, 757, 592, 808, 545, 761, 597, 813, 640, 856, 604, 820, 550, 766, 510, 726, 552, 768, 508, 724)(479, 695, 514, 730, 559, 775, 521, 737, 565, 781, 615, 831, 643, 859, 633, 849, 583, 799, 610, 826, 560, 776, 515, 731)(489, 705, 519, 735, 567, 783, 617, 833, 571, 787, 622, 838, 647, 863, 629, 845, 576, 792, 529, 745, 578, 794, 527, 743)(497, 713, 535, 751, 586, 802, 538, 754, 498, 714, 537, 753, 589, 805, 635, 851, 609, 825, 613, 829, 587, 803, 536, 752)(506, 722, 548, 764, 601, 817, 554, 770, 509, 725, 553, 769, 605, 821, 627, 843, 599, 815, 641, 857, 603, 819, 549, 765)(516, 732, 561, 777, 611, 827, 564, 780, 517, 733, 563, 779, 614, 830, 642, 858, 634, 850, 588, 804, 612, 828, 562, 778)(525, 741, 574, 790, 626, 842, 580, 796, 528, 744, 579, 795, 630, 846, 602, 818, 624, 840, 648, 864, 628, 844, 575, 791)(542, 758, 593, 809, 637, 853, 596, 812, 543, 759, 595, 811, 639, 855, 607, 823, 555, 771, 606, 822, 638, 854, 594, 810)(568, 784, 618, 834, 644, 860, 621, 837, 569, 785, 620, 836, 646, 862, 632, 848, 581, 797, 631, 847, 645, 861, 619, 835)
	L = (1, 434)(2, 433)(3, 439)(4, 441)(5, 443)(6, 445)(7, 435)(8, 449)(9, 436)(10, 453)(11, 437)(12, 457)(13, 438)(14, 461)(15, 463)(16, 465)(17, 440)(18, 469)(19, 471)(20, 473)(21, 442)(22, 477)(23, 479)(24, 481)(25, 444)(26, 485)(27, 487)(28, 489)(29, 446)(30, 493)(31, 447)(32, 497)(33, 448)(34, 498)(35, 500)(36, 502)(37, 450)(38, 494)(39, 451)(40, 506)(41, 452)(42, 509)(43, 510)(44, 496)(45, 454)(46, 486)(47, 455)(48, 516)(49, 456)(50, 517)(51, 519)(52, 521)(53, 458)(54, 478)(55, 459)(56, 525)(57, 460)(58, 528)(59, 529)(60, 515)(61, 462)(62, 470)(63, 527)(64, 476)(65, 464)(66, 466)(67, 539)(68, 467)(69, 542)(70, 468)(71, 543)(72, 545)(73, 540)(74, 472)(75, 550)(76, 514)(77, 474)(78, 475)(79, 555)(80, 557)(81, 551)(82, 508)(83, 492)(84, 480)(85, 482)(86, 565)(87, 483)(88, 568)(89, 484)(90, 569)(91, 571)(92, 566)(93, 488)(94, 576)(95, 495)(96, 490)(97, 491)(98, 581)(99, 583)(100, 577)(101, 574)(102, 579)(103, 561)(104, 567)(105, 588)(106, 578)(107, 499)(108, 505)(109, 562)(110, 501)(111, 503)(112, 597)(113, 504)(114, 599)(115, 598)(116, 559)(117, 602)(118, 507)(119, 513)(120, 564)(121, 560)(122, 580)(123, 511)(124, 608)(125, 512)(126, 609)(127, 548)(128, 553)(129, 535)(130, 541)(131, 613)(132, 552)(133, 518)(134, 524)(135, 536)(136, 520)(137, 522)(138, 622)(139, 523)(140, 624)(141, 623)(142, 533)(143, 627)(144, 526)(145, 532)(146, 538)(147, 534)(148, 554)(149, 530)(150, 633)(151, 531)(152, 634)(153, 617)(154, 619)(155, 621)(156, 537)(157, 632)(158, 629)(159, 616)(160, 610)(161, 626)(162, 611)(163, 628)(164, 612)(165, 544)(166, 547)(167, 546)(168, 625)(169, 618)(170, 549)(171, 620)(172, 615)(173, 631)(174, 630)(175, 614)(176, 556)(177, 558)(178, 592)(179, 594)(180, 596)(181, 563)(182, 607)(183, 604)(184, 591)(185, 585)(186, 601)(187, 586)(188, 603)(189, 587)(190, 570)(191, 573)(192, 572)(193, 600)(194, 593)(195, 575)(196, 595)(197, 590)(198, 606)(199, 605)(200, 589)(201, 582)(202, 584)(203, 647)(204, 648)(205, 645)(206, 644)(207, 646)(208, 642)(209, 643)(210, 640)(211, 641)(212, 638)(213, 637)(214, 639)(215, 635)(216, 636)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3143
Graph:: bipartite
	v = 126 e = 432 f = 252
	degree seq :: [ 4^108, 24^18 ]

E28.3143 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12})
Quotient :: dipole
Aut^+ = (C3 x ((C3 x C3) : C4)) : C2 (small group id <216, 159>)
Aut   = $<432, 756>$ (small group id <432, 756>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^6, Y3^-2 * Y1 * Y3^-1 * Y1^-2 * Y3^-1 * Y1, (Y3^-2 * Y1 * Y3^-1)^2, (Y3 * Y1^-1 * Y3 * Y1^-2)^2, (Y3 * Y2^-1)^12 ]
Map:: polytopal
	R = (1, 217, 2, 218, 6, 222, 16, 232, 13, 229, 4, 220)(3, 219, 9, 225, 23, 239, 55, 271, 29, 245, 11, 227)(5, 221, 14, 230, 34, 250, 49, 265, 20, 236, 7, 223)(8, 224, 21, 237, 50, 266, 83, 299, 42, 258, 17, 233)(10, 226, 25, 241, 58, 274, 82, 298, 41, 257, 27, 243)(12, 228, 30, 246, 63, 279, 108, 324, 70, 286, 32, 248)(15, 231, 37, 253, 66, 282, 85, 301, 44, 260, 35, 251)(18, 234, 43, 259, 84, 300, 120, 336, 78, 294, 39, 255)(19, 235, 45, 261, 31, 247, 67, 283, 77, 293, 47, 263)(22, 238, 53, 269, 24, 240, 56, 272, 80, 296, 51, 267)(26, 242, 60, 276, 105, 321, 134, 350, 97, 313, 54, 270)(28, 244, 62, 278, 36, 252, 74, 290, 86, 302, 64, 280)(33, 249, 40, 256, 79, 295, 121, 337, 109, 325, 71, 287)(38, 254, 68, 284, 88, 304, 129, 345, 114, 330, 75, 291)(46, 262, 89, 305, 131, 347, 116, 332, 73, 289, 87, 303)(48, 264, 91, 307, 52, 268, 96, 312, 69, 285, 92, 308)(57, 273, 101, 317, 59, 275, 103, 319, 140, 356, 100, 316)(61, 277, 98, 314, 124, 340, 163, 379, 142, 358, 102, 318)(65, 281, 99, 315, 139, 355, 162, 378, 125, 341, 94, 310)(72, 288, 113, 329, 150, 366, 161, 377, 126, 342, 93, 309)(76, 292, 90, 306, 128, 344, 160, 376, 151, 367, 112, 328)(81, 297, 123, 339, 164, 380, 136, 352, 95, 311, 122, 338)(104, 320, 145, 361, 106, 322, 147, 363, 165, 381, 144, 360)(107, 323, 143, 359, 179, 395, 206, 422, 185, 401, 146, 362)(110, 326, 119, 335, 111, 327, 152, 368, 168, 384, 127, 343)(115, 331, 156, 372, 167, 383, 159, 375, 117, 333, 155, 371)(118, 334, 157, 373, 191, 407, 200, 416, 172, 388, 133, 349)(130, 346, 171, 387, 132, 348, 173, 389, 153, 369, 170, 386)(135, 351, 177, 393, 141, 357, 180, 396, 137, 353, 176, 392)(138, 354, 178, 394, 204, 420, 187, 403, 148, 364, 166, 382)(149, 365, 186, 402, 208, 424, 213, 429, 197, 413, 188, 404)(154, 370, 189, 405, 158, 374, 193, 409, 199, 415, 190, 406)(169, 385, 198, 414, 192, 408, 202, 418, 174, 390, 194, 410)(175, 391, 201, 417, 183, 399, 207, 423, 212, 428, 203, 419)(181, 397, 205, 421, 184, 400, 196, 412, 182, 398, 195, 411)(209, 425, 216, 432, 211, 427, 215, 431, 210, 426, 214, 430)(433, 649)(434, 650)(435, 651)(436, 652)(437, 653)(438, 654)(439, 655)(440, 656)(441, 657)(442, 658)(443, 659)(444, 660)(445, 661)(446, 662)(447, 663)(448, 664)(449, 665)(450, 666)(451, 667)(452, 668)(453, 669)(454, 670)(455, 671)(456, 672)(457, 673)(458, 674)(459, 675)(460, 676)(461, 677)(462, 678)(463, 679)(464, 680)(465, 681)(466, 682)(467, 683)(468, 684)(469, 685)(470, 686)(471, 687)(472, 688)(473, 689)(474, 690)(475, 691)(476, 692)(477, 693)(478, 694)(479, 695)(480, 696)(481, 697)(482, 698)(483, 699)(484, 700)(485, 701)(486, 702)(487, 703)(488, 704)(489, 705)(490, 706)(491, 707)(492, 708)(493, 709)(494, 710)(495, 711)(496, 712)(497, 713)(498, 714)(499, 715)(500, 716)(501, 717)(502, 718)(503, 719)(504, 720)(505, 721)(506, 722)(507, 723)(508, 724)(509, 725)(510, 726)(511, 727)(512, 728)(513, 729)(514, 730)(515, 731)(516, 732)(517, 733)(518, 734)(519, 735)(520, 736)(521, 737)(522, 738)(523, 739)(524, 740)(525, 741)(526, 742)(527, 743)(528, 744)(529, 745)(530, 746)(531, 747)(532, 748)(533, 749)(534, 750)(535, 751)(536, 752)(537, 753)(538, 754)(539, 755)(540, 756)(541, 757)(542, 758)(543, 759)(544, 760)(545, 761)(546, 762)(547, 763)(548, 764)(549, 765)(550, 766)(551, 767)(552, 768)(553, 769)(554, 770)(555, 771)(556, 772)(557, 773)(558, 774)(559, 775)(560, 776)(561, 777)(562, 778)(563, 779)(564, 780)(565, 781)(566, 782)(567, 783)(568, 784)(569, 785)(570, 786)(571, 787)(572, 788)(573, 789)(574, 790)(575, 791)(576, 792)(577, 793)(578, 794)(579, 795)(580, 796)(581, 797)(582, 798)(583, 799)(584, 800)(585, 801)(586, 802)(587, 803)(588, 804)(589, 805)(590, 806)(591, 807)(592, 808)(593, 809)(594, 810)(595, 811)(596, 812)(597, 813)(598, 814)(599, 815)(600, 816)(601, 817)(602, 818)(603, 819)(604, 820)(605, 821)(606, 822)(607, 823)(608, 824)(609, 825)(610, 826)(611, 827)(612, 828)(613, 829)(614, 830)(615, 831)(616, 832)(617, 833)(618, 834)(619, 835)(620, 836)(621, 837)(622, 838)(623, 839)(624, 840)(625, 841)(626, 842)(627, 843)(628, 844)(629, 845)(630, 846)(631, 847)(632, 848)(633, 849)(634, 850)(635, 851)(636, 852)(637, 853)(638, 854)(639, 855)(640, 856)(641, 857)(642, 858)(643, 859)(644, 860)(645, 861)(646, 862)(647, 863)(648, 864)
	L = (1, 435)(2, 439)(3, 442)(4, 444)(5, 433)(6, 449)(7, 451)(8, 434)(9, 436)(10, 458)(11, 460)(12, 463)(13, 465)(14, 467)(15, 437)(16, 471)(17, 473)(18, 438)(19, 478)(20, 480)(21, 483)(22, 440)(23, 485)(24, 441)(25, 443)(26, 493)(27, 474)(28, 495)(29, 497)(30, 445)(31, 500)(32, 501)(33, 490)(34, 494)(35, 505)(36, 446)(37, 507)(38, 447)(39, 509)(40, 448)(41, 513)(42, 468)(43, 517)(44, 450)(45, 452)(46, 522)(47, 510)(48, 455)(49, 525)(50, 523)(51, 527)(52, 453)(53, 529)(54, 454)(55, 524)(56, 532)(57, 456)(58, 533)(59, 457)(60, 459)(61, 539)(62, 461)(63, 469)(64, 541)(65, 537)(66, 462)(67, 464)(68, 544)(69, 511)(70, 545)(71, 518)(72, 466)(73, 547)(74, 515)(75, 549)(76, 470)(77, 551)(78, 484)(79, 488)(80, 472)(81, 556)(82, 503)(83, 557)(84, 506)(85, 559)(86, 475)(87, 476)(88, 477)(89, 479)(90, 565)(91, 481)(92, 502)(93, 563)(94, 482)(95, 567)(96, 552)(97, 569)(98, 486)(99, 487)(100, 573)(101, 574)(102, 489)(103, 576)(104, 491)(105, 577)(106, 492)(107, 581)(108, 496)(109, 571)(110, 498)(111, 499)(112, 586)(113, 561)(114, 504)(115, 589)(116, 558)(117, 590)(118, 508)(119, 592)(120, 593)(121, 528)(122, 512)(123, 514)(124, 598)(125, 596)(126, 516)(127, 599)(128, 519)(129, 602)(130, 520)(131, 603)(132, 521)(133, 607)(134, 526)(135, 610)(136, 594)(137, 611)(138, 530)(139, 535)(140, 531)(141, 613)(142, 614)(143, 534)(144, 616)(145, 617)(146, 536)(147, 619)(148, 538)(149, 550)(150, 540)(151, 542)(152, 605)(153, 543)(154, 615)(155, 546)(156, 548)(157, 620)(158, 618)(159, 600)(160, 626)(161, 584)(162, 553)(163, 554)(164, 579)(165, 555)(166, 629)(167, 630)(168, 582)(169, 560)(170, 631)(171, 632)(172, 562)(173, 634)(174, 564)(175, 570)(176, 566)(177, 568)(178, 635)(179, 633)(180, 572)(181, 639)(182, 640)(183, 575)(184, 641)(185, 642)(186, 578)(187, 643)(188, 580)(189, 583)(190, 585)(191, 587)(192, 588)(193, 591)(194, 644)(195, 595)(196, 597)(197, 601)(198, 645)(199, 646)(200, 647)(201, 604)(202, 648)(203, 606)(204, 608)(205, 609)(206, 612)(207, 622)(208, 621)(209, 625)(210, 623)(211, 624)(212, 627)(213, 628)(214, 638)(215, 636)(216, 637)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.3142
Graph:: simple bipartite
	v = 252 e = 432 f = 126
	degree seq :: [ 2^216, 12^36 ]

E28.3144 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 112})
Quotient :: regular
Aut^+ = C112 : C2 (small group id <224, 6>)
Aut   = $<448, 442>$ (small group id <448, 442>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-2)^2, (T1 * T2)^4, T2 * T1^-1 * T2 * T1^55, T1^-2 * T2 * T1^27 * T2 * T1^-27 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 29, 37, 45, 53, 61, 72, 69, 70, 73, 78, 86, 92, 97, 101, 105, 110, 122, 116, 118, 124, 134, 149, 161, 170, 178, 186, 195, 211, 204, 207, 214, 219, 198, 191, 181, 175, 164, 158, 140, 131, 119, 125, 135, 113, 66, 58, 50, 42, 34, 26, 16, 23, 17, 24, 32, 40, 48, 56, 64, 95, 90, 83, 87, 84, 88, 93, 98, 102, 106, 111, 166, 157, 143, 151, 145, 153, 163, 172, 180, 188, 197, 223, 222, 221, 216, 208, 215, 220, 200, 189, 183, 173, 167, 154, 146, 127, 137, 129, 68, 60, 52, 44, 36, 28, 19, 10, 4)(3, 7, 15, 25, 33, 41, 49, 57, 65, 79, 76, 71, 75, 82, 89, 94, 99, 103, 107, 112, 136, 130, 120, 128, 141, 155, 165, 174, 182, 190, 199, 218, 212, 206, 202, 210, 193, 185, 196, 169, 179, 148, 162, 123, 144, 115, 142, 109, 63, 54, 47, 38, 31, 21, 14, 6, 13, 9, 18, 27, 35, 43, 51, 59, 67, 81, 74, 80, 77, 85, 91, 96, 100, 104, 108, 114, 139, 126, 138, 132, 147, 159, 168, 176, 184, 192, 201, 217, 213, 205, 203, 209, 194, 224, 177, 187, 160, 171, 133, 152, 117, 150, 121, 156, 62, 55, 46, 39, 30, 22, 12, 8)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 21)(13, 23)(14, 24)(18, 26)(19, 27)(20, 30)(22, 32)(25, 34)(28, 33)(29, 38)(31, 40)(35, 42)(36, 43)(37, 46)(39, 48)(41, 50)(44, 49)(45, 54)(47, 56)(51, 58)(52, 59)(53, 62)(55, 64)(57, 66)(60, 65)(61, 109)(63, 95)(67, 113)(68, 81)(69, 115)(70, 117)(71, 119)(72, 121)(73, 123)(74, 125)(75, 127)(76, 129)(77, 131)(78, 133)(79, 135)(80, 137)(82, 140)(83, 142)(84, 144)(85, 146)(86, 148)(87, 150)(88, 152)(89, 154)(90, 156)(91, 158)(92, 160)(93, 162)(94, 164)(96, 167)(97, 169)(98, 171)(99, 173)(100, 175)(101, 177)(102, 179)(103, 181)(104, 183)(105, 185)(106, 187)(107, 189)(108, 191)(110, 194)(111, 196)(112, 198)(114, 200)(116, 203)(118, 206)(120, 208)(122, 210)(124, 213)(126, 215)(128, 204)(130, 214)(132, 216)(134, 218)(136, 220)(138, 207)(139, 219)(141, 221)(143, 209)(145, 205)(147, 211)(149, 201)(151, 202)(153, 212)(155, 195)(157, 193)(159, 222)(161, 190)(163, 217)(165, 223)(166, 224)(168, 186)(170, 184)(172, 199)(174, 178)(176, 197)(180, 192)(182, 188)
	local type(s) :: { ( 4^112 ) }
Outer automorphisms :: reflexible
Dual of E28.3145
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 112 f = 56
	degree seq :: [ 112^2 ]

E28.3145 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 112})
Quotient :: regular
Aut^+ = C112 : C2 (small group id <224, 6>)
Aut   = $<448, 442>$ (small group id <448, 442>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^4, (F * T1)^2, (F * T2)^2, (T1^-1 * T2 * T1^-1)^2, T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 2, 5, 4)(3, 7, 10, 8)(6, 11, 9, 12)(13, 17, 14, 18)(15, 19, 16, 20)(21, 25, 22, 26)(23, 27, 24, 28)(29, 33, 30, 34)(31, 35, 32, 36)(37, 69, 38, 71)(39, 73, 43, 76)(40, 77, 42, 80)(41, 81, 48, 83)(44, 88, 47, 90)(45, 86, 46, 74)(49, 84, 50, 78)(51, 101, 52, 103)(53, 105, 54, 107)(55, 93, 56, 91)(57, 99, 58, 97)(59, 115, 60, 117)(61, 119, 62, 121)(63, 111, 64, 109)(65, 125, 66, 127)(67, 129, 68, 131)(70, 133, 72, 135)(75, 137, 87, 140)(79, 141, 85, 144)(82, 145, 96, 147)(89, 152, 95, 154)(92, 150, 94, 138)(98, 148, 100, 142)(102, 165, 104, 167)(106, 169, 108, 171)(110, 157, 112, 155)(113, 163, 114, 161)(116, 179, 118, 181)(120, 183, 122, 185)(123, 175, 124, 173)(126, 189, 128, 191)(130, 193, 132, 195)(134, 197, 136, 199)(139, 201, 151, 204)(143, 203, 149, 206)(146, 207, 160, 209)(153, 211, 159, 212)(156, 208, 158, 202)(162, 210, 164, 205)(166, 217, 168, 218)(170, 219, 172, 220)(174, 214, 176, 213)(177, 216, 178, 215)(180, 223, 182, 224)(184, 200, 186, 198)(187, 222, 188, 221)(190, 196, 192, 194)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 13)(8, 14)(11, 15)(12, 16)(17, 21)(18, 22)(19, 23)(20, 24)(25, 29)(26, 30)(27, 31)(28, 32)(33, 37)(34, 38)(35, 64)(36, 63)(39, 74)(40, 78)(41, 80)(42, 84)(43, 86)(44, 73)(45, 91)(46, 93)(47, 76)(48, 77)(49, 97)(50, 99)(51, 81)(52, 83)(53, 88)(54, 90)(55, 109)(56, 111)(57, 71)(58, 69)(59, 101)(60, 103)(61, 105)(62, 107)(65, 115)(66, 117)(67, 119)(68, 121)(70, 125)(72, 127)(75, 138)(79, 142)(82, 144)(85, 148)(87, 150)(89, 137)(92, 155)(94, 157)(95, 140)(96, 141)(98, 161)(100, 163)(102, 145)(104, 147)(106, 152)(108, 154)(110, 173)(112, 175)(113, 135)(114, 133)(116, 165)(118, 167)(120, 169)(122, 171)(123, 131)(124, 129)(126, 179)(128, 181)(130, 183)(132, 185)(134, 189)(136, 191)(139, 202)(143, 205)(146, 206)(149, 210)(151, 208)(153, 201)(156, 213)(158, 214)(159, 204)(160, 203)(162, 215)(164, 216)(166, 207)(168, 209)(170, 211)(172, 212)(174, 221)(176, 222)(177, 199)(178, 197)(180, 217)(182, 218)(184, 219)(186, 220)(187, 195)(188, 193)(190, 223)(192, 224)(194, 200)(196, 198)
	local type(s) :: { ( 112^4 ) }
Outer automorphisms :: reflexible
Dual of E28.3144
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 56 e = 112 f = 2
	degree seq :: [ 4^56 ]

E28.3146 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 112})
Quotient :: edge
Aut^+ = C112 : C2 (small group id <224, 6>)
Aut   = $<448, 442>$ (small group id <448, 442>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1 * T2^-1)^2, T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 ]
Map::
	R = (1, 3, 8, 4)(2, 5, 11, 6)(7, 13, 9, 14)(10, 15, 12, 16)(17, 21, 18, 22)(19, 23, 20, 24)(25, 29, 26, 30)(27, 31, 28, 32)(33, 37, 34, 38)(35, 63, 36, 64)(39, 68, 46, 69)(40, 71, 49, 72)(41, 73, 42, 74)(43, 75, 44, 76)(45, 77, 47, 67)(48, 78, 50, 70)(51, 79, 52, 80)(53, 81, 54, 82)(55, 83, 56, 84)(57, 85, 58, 86)(59, 87, 60, 88)(61, 89, 62, 90)(65, 93, 66, 94)(91, 119, 92, 120)(95, 123, 105, 124)(96, 125, 97, 126)(98, 127, 106, 128)(99, 129, 100, 130)(101, 131, 102, 132)(103, 133, 104, 134)(107, 135, 108, 136)(109, 137, 110, 138)(111, 139, 112, 140)(113, 141, 114, 142)(115, 143, 116, 144)(117, 145, 118, 146)(121, 149, 122, 150)(147, 175, 148, 176)(151, 179, 152, 180)(153, 181, 154, 182)(155, 183, 156, 184)(157, 185, 158, 186)(159, 187, 160, 188)(161, 189, 162, 190)(163, 191, 164, 192)(165, 193, 166, 194)(167, 195, 168, 196)(169, 197, 170, 198)(171, 199, 172, 200)(173, 201, 174, 202)(177, 205, 178, 206)(203, 223, 204, 224)(207, 219, 208, 220)(209, 216, 210, 215)(211, 221, 212, 222)(213, 218, 214, 217)(225, 226)(227, 231)(228, 233)(229, 234)(230, 236)(232, 235)(237, 241)(238, 242)(239, 243)(240, 244)(245, 249)(246, 250)(247, 251)(248, 252)(253, 257)(254, 258)(255, 259)(256, 260)(261, 272)(262, 274)(263, 291)(264, 294)(265, 295)(266, 296)(267, 292)(268, 293)(269, 287)(270, 301)(271, 288)(273, 302)(275, 297)(276, 298)(277, 299)(278, 300)(279, 303)(280, 304)(281, 305)(282, 306)(283, 307)(284, 308)(285, 309)(286, 310)(289, 311)(290, 312)(313, 315)(314, 316)(317, 330)(318, 322)(319, 344)(320, 347)(321, 348)(323, 351)(324, 352)(325, 353)(326, 354)(327, 349)(328, 350)(329, 343)(331, 355)(332, 356)(333, 357)(334, 358)(335, 359)(336, 360)(337, 361)(338, 362)(339, 363)(340, 364)(341, 365)(342, 366)(345, 367)(346, 368)(369, 371)(370, 372)(373, 380)(374, 379)(375, 400)(376, 399)(377, 403)(378, 404)(381, 407)(382, 408)(383, 409)(384, 410)(385, 405)(386, 406)(387, 411)(388, 412)(389, 413)(390, 414)(391, 415)(392, 416)(393, 417)(394, 418)(395, 419)(396, 420)(397, 421)(398, 422)(401, 423)(402, 424)(425, 427)(426, 428)(429, 436)(430, 435)(431, 448)(432, 447)(433, 443)(434, 444)(437, 445)(438, 446)(439, 442)(440, 441)
	L = (1, 225)(2, 226)(3, 227)(4, 228)(5, 229)(6, 230)(7, 231)(8, 232)(9, 233)(10, 234)(11, 235)(12, 236)(13, 237)(14, 238)(15, 239)(16, 240)(17, 241)(18, 242)(19, 243)(20, 244)(21, 245)(22, 246)(23, 247)(24, 248)(25, 249)(26, 250)(27, 251)(28, 252)(29, 253)(30, 254)(31, 255)(32, 256)(33, 257)(34, 258)(35, 259)(36, 260)(37, 261)(38, 262)(39, 263)(40, 264)(41, 265)(42, 266)(43, 267)(44, 268)(45, 269)(46, 270)(47, 271)(48, 272)(49, 273)(50, 274)(51, 275)(52, 276)(53, 277)(54, 278)(55, 279)(56, 280)(57, 281)(58, 282)(59, 283)(60, 284)(61, 285)(62, 286)(63, 287)(64, 288)(65, 289)(66, 290)(67, 291)(68, 292)(69, 293)(70, 294)(71, 295)(72, 296)(73, 297)(74, 298)(75, 299)(76, 300)(77, 301)(78, 302)(79, 303)(80, 304)(81, 305)(82, 306)(83, 307)(84, 308)(85, 309)(86, 310)(87, 311)(88, 312)(89, 313)(90, 314)(91, 315)(92, 316)(93, 317)(94, 318)(95, 319)(96, 320)(97, 321)(98, 322)(99, 323)(100, 324)(101, 325)(102, 326)(103, 327)(104, 328)(105, 329)(106, 330)(107, 331)(108, 332)(109, 333)(110, 334)(111, 335)(112, 336)(113, 337)(114, 338)(115, 339)(116, 340)(117, 341)(118, 342)(119, 343)(120, 344)(121, 345)(122, 346)(123, 347)(124, 348)(125, 349)(126, 350)(127, 351)(128, 352)(129, 353)(130, 354)(131, 355)(132, 356)(133, 357)(134, 358)(135, 359)(136, 360)(137, 361)(138, 362)(139, 363)(140, 364)(141, 365)(142, 366)(143, 367)(144, 368)(145, 369)(146, 370)(147, 371)(148, 372)(149, 373)(150, 374)(151, 375)(152, 376)(153, 377)(154, 378)(155, 379)(156, 380)(157, 381)(158, 382)(159, 383)(160, 384)(161, 385)(162, 386)(163, 387)(164, 388)(165, 389)(166, 390)(167, 391)(168, 392)(169, 393)(170, 394)(171, 395)(172, 396)(173, 397)(174, 398)(175, 399)(176, 400)(177, 401)(178, 402)(179, 403)(180, 404)(181, 405)(182, 406)(183, 407)(184, 408)(185, 409)(186, 410)(187, 411)(188, 412)(189, 413)(190, 414)(191, 415)(192, 416)(193, 417)(194, 418)(195, 419)(196, 420)(197, 421)(198, 422)(199, 423)(200, 424)(201, 425)(202, 426)(203, 427)(204, 428)(205, 429)(206, 430)(207, 431)(208, 432)(209, 433)(210, 434)(211, 435)(212, 436)(213, 437)(214, 438)(215, 439)(216, 440)(217, 441)(218, 442)(219, 443)(220, 444)(221, 445)(222, 446)(223, 447)(224, 448)
	local type(s) :: { ( 224, 224 ), ( 224^4 ) }
Outer automorphisms :: reflexible
Dual of E28.3150
Transitivity :: ET+
Graph:: simple bipartite
	v = 168 e = 224 f = 2
	degree seq :: [ 2^112, 4^56 ]

E28.3147 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 112})
Quotient :: edge
Aut^+ = C112 : C2 (small group id <224, 6>)
Aut   = $<448, 442>$ (small group id <448, 442>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, (T2 * T1^-1)^2, (T2^-1 * T1^-1)^2, T2^55 * T1 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 18, 26, 34, 42, 50, 58, 66, 109, 116, 121, 125, 129, 133, 137, 141, 146, 155, 193, 199, 203, 207, 211, 215, 219, 223, 192, 185, 182, 177, 174, 169, 166, 161, 158, 149, 112, 102, 100, 94, 92, 86, 84, 75, 72, 76, 82, 62, 54, 46, 38, 30, 22, 14, 6, 13, 21, 29, 37, 45, 53, 61, 105, 118, 113, 117, 122, 126, 130, 134, 138, 142, 147, 156, 194, 200, 204, 208, 212, 216, 220, 224, 191, 186, 181, 178, 173, 170, 165, 162, 157, 150, 108, 104, 98, 96, 90, 88, 81, 78, 70, 68, 60, 52, 44, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 47, 55, 63, 107, 114, 119, 123, 127, 131, 135, 139, 144, 151, 189, 197, 201, 205, 209, 213, 217, 221, 196, 187, 184, 179, 176, 171, 168, 163, 160, 153, 148, 103, 106, 95, 97, 87, 89, 77, 79, 69, 80, 65, 57, 49, 41, 33, 25, 17, 9, 4, 11, 19, 27, 35, 43, 51, 59, 67, 111, 115, 120, 124, 128, 132, 136, 140, 145, 152, 190, 198, 202, 206, 210, 214, 218, 222, 195, 188, 183, 180, 175, 172, 167, 164, 159, 154, 110, 143, 99, 101, 91, 93, 83, 85, 71, 74, 73, 64, 56, 48, 40, 32, 24, 16, 8)(225, 226, 230, 228)(227, 233, 237, 232)(229, 235, 238, 231)(234, 240, 245, 241)(236, 239, 246, 243)(242, 249, 253, 248)(244, 251, 254, 247)(250, 256, 261, 257)(252, 255, 262, 259)(258, 265, 269, 264)(260, 267, 270, 263)(266, 272, 277, 273)(268, 271, 278, 275)(274, 281, 285, 280)(276, 283, 286, 279)(282, 288, 329, 289)(284, 287, 306, 291)(290, 304, 342, 297)(292, 335, 300, 331)(293, 333, 298, 337)(294, 338, 296, 339)(295, 340, 303, 341)(299, 343, 302, 344)(301, 345, 309, 346)(305, 347, 308, 348)(307, 349, 313, 350)(310, 351, 312, 352)(311, 353, 317, 354)(314, 355, 316, 356)(315, 357, 321, 358)(318, 359, 320, 360)(319, 361, 325, 362)(322, 363, 324, 364)(323, 365, 330, 366)(326, 368, 328, 369)(327, 370, 367, 371)(332, 375, 336, 376)(334, 379, 372, 380)(373, 413, 374, 414)(377, 417, 378, 418)(381, 421, 382, 422)(383, 423, 384, 424)(385, 425, 386, 426)(387, 427, 388, 428)(389, 429, 390, 430)(391, 431, 392, 432)(393, 433, 394, 434)(395, 435, 396, 436)(397, 437, 398, 438)(399, 439, 400, 440)(401, 441, 402, 442)(403, 443, 404, 444)(405, 445, 406, 446)(407, 447, 408, 448)(409, 420, 410, 419)(411, 416, 412, 415)
	L = (1, 225)(2, 226)(3, 227)(4, 228)(5, 229)(6, 230)(7, 231)(8, 232)(9, 233)(10, 234)(11, 235)(12, 236)(13, 237)(14, 238)(15, 239)(16, 240)(17, 241)(18, 242)(19, 243)(20, 244)(21, 245)(22, 246)(23, 247)(24, 248)(25, 249)(26, 250)(27, 251)(28, 252)(29, 253)(30, 254)(31, 255)(32, 256)(33, 257)(34, 258)(35, 259)(36, 260)(37, 261)(38, 262)(39, 263)(40, 264)(41, 265)(42, 266)(43, 267)(44, 268)(45, 269)(46, 270)(47, 271)(48, 272)(49, 273)(50, 274)(51, 275)(52, 276)(53, 277)(54, 278)(55, 279)(56, 280)(57, 281)(58, 282)(59, 283)(60, 284)(61, 285)(62, 286)(63, 287)(64, 288)(65, 289)(66, 290)(67, 291)(68, 292)(69, 293)(70, 294)(71, 295)(72, 296)(73, 297)(74, 298)(75, 299)(76, 300)(77, 301)(78, 302)(79, 303)(80, 304)(81, 305)(82, 306)(83, 307)(84, 308)(85, 309)(86, 310)(87, 311)(88, 312)(89, 313)(90, 314)(91, 315)(92, 316)(93, 317)(94, 318)(95, 319)(96, 320)(97, 321)(98, 322)(99, 323)(100, 324)(101, 325)(102, 326)(103, 327)(104, 328)(105, 329)(106, 330)(107, 331)(108, 332)(109, 333)(110, 334)(111, 335)(112, 336)(113, 337)(114, 338)(115, 339)(116, 340)(117, 341)(118, 342)(119, 343)(120, 344)(121, 345)(122, 346)(123, 347)(124, 348)(125, 349)(126, 350)(127, 351)(128, 352)(129, 353)(130, 354)(131, 355)(132, 356)(133, 357)(134, 358)(135, 359)(136, 360)(137, 361)(138, 362)(139, 363)(140, 364)(141, 365)(142, 366)(143, 367)(144, 368)(145, 369)(146, 370)(147, 371)(148, 372)(149, 373)(150, 374)(151, 375)(152, 376)(153, 377)(154, 378)(155, 379)(156, 380)(157, 381)(158, 382)(159, 383)(160, 384)(161, 385)(162, 386)(163, 387)(164, 388)(165, 389)(166, 390)(167, 391)(168, 392)(169, 393)(170, 394)(171, 395)(172, 396)(173, 397)(174, 398)(175, 399)(176, 400)(177, 401)(178, 402)(179, 403)(180, 404)(181, 405)(182, 406)(183, 407)(184, 408)(185, 409)(186, 410)(187, 411)(188, 412)(189, 413)(190, 414)(191, 415)(192, 416)(193, 417)(194, 418)(195, 419)(196, 420)(197, 421)(198, 422)(199, 423)(200, 424)(201, 425)(202, 426)(203, 427)(204, 428)(205, 429)(206, 430)(207, 431)(208, 432)(209, 433)(210, 434)(211, 435)(212, 436)(213, 437)(214, 438)(215, 439)(216, 440)(217, 441)(218, 442)(219, 443)(220, 444)(221, 445)(222, 446)(223, 447)(224, 448)
	local type(s) :: { ( 4^4 ), ( 4^112 ) }
Outer automorphisms :: reflexible
Dual of E28.3151
Transitivity :: ET+
Graph:: bipartite
	v = 58 e = 224 f = 112
	degree seq :: [ 4^56, 112^2 ]

E28.3148 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 112})
Quotient :: edge
Aut^+ = C112 : C2 (small group id <224, 6>)
Aut   = $<448, 442>$ (small group id <448, 442>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-2)^2, (T2 * T1)^4, T2 * T1^-1 * T2 * T1^55, T1^-2 * T2 * T1^27 * T2 * T1^-27 ]
Map::
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 21)(13, 23)(14, 24)(18, 26)(19, 27)(20, 30)(22, 32)(25, 34)(28, 33)(29, 38)(31, 40)(35, 42)(36, 43)(37, 46)(39, 48)(41, 50)(44, 49)(45, 54)(47, 56)(51, 58)(52, 59)(53, 62)(55, 64)(57, 66)(60, 65)(61, 81)(63, 103)(67, 73)(68, 107)(69, 109)(70, 110)(71, 111)(72, 112)(74, 113)(75, 114)(76, 105)(77, 115)(78, 101)(79, 116)(80, 117)(82, 118)(83, 119)(84, 120)(85, 121)(86, 122)(87, 123)(88, 124)(89, 125)(90, 126)(91, 127)(92, 128)(93, 129)(94, 131)(95, 132)(96, 133)(97, 134)(98, 136)(99, 137)(100, 138)(102, 141)(104, 142)(106, 145)(108, 146)(130, 169)(135, 174)(139, 177)(140, 178)(143, 181)(144, 182)(147, 185)(148, 186)(149, 187)(150, 188)(151, 189)(152, 190)(153, 191)(154, 192)(155, 193)(156, 194)(157, 195)(158, 196)(159, 197)(160, 198)(161, 199)(162, 200)(163, 201)(164, 202)(165, 203)(166, 204)(167, 205)(168, 206)(170, 207)(171, 208)(172, 209)(173, 210)(175, 211)(176, 212)(179, 215)(180, 216)(183, 219)(184, 220)(213, 223)(214, 224)(217, 222)(218, 221)(225, 226, 229, 235, 244, 253, 261, 269, 277, 285, 325, 342, 346, 350, 355, 360, 366, 393, 398, 402, 409, 413, 417, 421, 425, 429, 433, 439, 447, 441, 408, 399, 395, 389, 386, 381, 378, 373, 367, 332, 323, 320, 315, 312, 307, 303, 296, 300, 297, 290, 282, 274, 266, 258, 250, 240, 247, 241, 248, 256, 264, 272, 280, 288, 327, 333, 334, 335, 338, 341, 345, 349, 353, 358, 365, 401, 410, 414, 418, 422, 426, 430, 434, 440, 448, 442, 407, 400, 394, 390, 385, 382, 377, 374, 368, 330, 324, 319, 316, 311, 308, 301, 298, 292, 284, 276, 268, 260, 252, 243, 234, 228)(227, 231, 239, 249, 257, 265, 273, 281, 289, 329, 337, 340, 344, 348, 352, 357, 362, 370, 406, 411, 415, 419, 423, 427, 431, 435, 443, 446, 438, 403, 397, 391, 388, 383, 380, 375, 372, 364, 326, 354, 317, 322, 309, 314, 299, 306, 294, 305, 287, 278, 271, 262, 255, 245, 238, 230, 237, 233, 242, 251, 259, 267, 275, 283, 291, 331, 336, 339, 343, 347, 351, 356, 361, 369, 405, 412, 416, 420, 424, 428, 432, 436, 444, 445, 437, 404, 396, 392, 387, 384, 379, 376, 371, 363, 359, 321, 328, 313, 318, 304, 310, 295, 302, 293, 286, 279, 270, 263, 254, 246, 236, 232)
	L = (1, 225)(2, 226)(3, 227)(4, 228)(5, 229)(6, 230)(7, 231)(8, 232)(9, 233)(10, 234)(11, 235)(12, 236)(13, 237)(14, 238)(15, 239)(16, 240)(17, 241)(18, 242)(19, 243)(20, 244)(21, 245)(22, 246)(23, 247)(24, 248)(25, 249)(26, 250)(27, 251)(28, 252)(29, 253)(30, 254)(31, 255)(32, 256)(33, 257)(34, 258)(35, 259)(36, 260)(37, 261)(38, 262)(39, 263)(40, 264)(41, 265)(42, 266)(43, 267)(44, 268)(45, 269)(46, 270)(47, 271)(48, 272)(49, 273)(50, 274)(51, 275)(52, 276)(53, 277)(54, 278)(55, 279)(56, 280)(57, 281)(58, 282)(59, 283)(60, 284)(61, 285)(62, 286)(63, 287)(64, 288)(65, 289)(66, 290)(67, 291)(68, 292)(69, 293)(70, 294)(71, 295)(72, 296)(73, 297)(74, 298)(75, 299)(76, 300)(77, 301)(78, 302)(79, 303)(80, 304)(81, 305)(82, 306)(83, 307)(84, 308)(85, 309)(86, 310)(87, 311)(88, 312)(89, 313)(90, 314)(91, 315)(92, 316)(93, 317)(94, 318)(95, 319)(96, 320)(97, 321)(98, 322)(99, 323)(100, 324)(101, 325)(102, 326)(103, 327)(104, 328)(105, 329)(106, 330)(107, 331)(108, 332)(109, 333)(110, 334)(111, 335)(112, 336)(113, 337)(114, 338)(115, 339)(116, 340)(117, 341)(118, 342)(119, 343)(120, 344)(121, 345)(122, 346)(123, 347)(124, 348)(125, 349)(126, 350)(127, 351)(128, 352)(129, 353)(130, 354)(131, 355)(132, 356)(133, 357)(134, 358)(135, 359)(136, 360)(137, 361)(138, 362)(139, 363)(140, 364)(141, 365)(142, 366)(143, 367)(144, 368)(145, 369)(146, 370)(147, 371)(148, 372)(149, 373)(150, 374)(151, 375)(152, 376)(153, 377)(154, 378)(155, 379)(156, 380)(157, 381)(158, 382)(159, 383)(160, 384)(161, 385)(162, 386)(163, 387)(164, 388)(165, 389)(166, 390)(167, 391)(168, 392)(169, 393)(170, 394)(171, 395)(172, 396)(173, 397)(174, 398)(175, 399)(176, 400)(177, 401)(178, 402)(179, 403)(180, 404)(181, 405)(182, 406)(183, 407)(184, 408)(185, 409)(186, 410)(187, 411)(188, 412)(189, 413)(190, 414)(191, 415)(192, 416)(193, 417)(194, 418)(195, 419)(196, 420)(197, 421)(198, 422)(199, 423)(200, 424)(201, 425)(202, 426)(203, 427)(204, 428)(205, 429)(206, 430)(207, 431)(208, 432)(209, 433)(210, 434)(211, 435)(212, 436)(213, 437)(214, 438)(215, 439)(216, 440)(217, 441)(218, 442)(219, 443)(220, 444)(221, 445)(222, 446)(223, 447)(224, 448)
	local type(s) :: { ( 8, 8 ), ( 8^112 ) }
Outer automorphisms :: reflexible
Dual of E28.3149
Transitivity :: ET+
Graph:: simple bipartite
	v = 114 e = 224 f = 56
	degree seq :: [ 2^112, 112^2 ]

E28.3149 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 112})
Quotient :: loop
Aut^+ = C112 : C2 (small group id <224, 6>)
Aut   = $<448, 442>$ (small group id <448, 442>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1 * T2^-1)^2, T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 ]
Map::
	R = (1, 225, 3, 227, 8, 232, 4, 228)(2, 226, 5, 229, 11, 235, 6, 230)(7, 231, 13, 237, 9, 233, 14, 238)(10, 234, 15, 239, 12, 236, 16, 240)(17, 241, 21, 245, 18, 242, 22, 246)(19, 243, 23, 247, 20, 244, 24, 248)(25, 249, 29, 253, 26, 250, 30, 254)(27, 251, 31, 255, 28, 252, 32, 256)(33, 257, 37, 261, 34, 258, 38, 262)(35, 259, 57, 281, 36, 260, 59, 283)(39, 263, 61, 285, 42, 266, 63, 287)(40, 264, 64, 288, 45, 269, 66, 290)(41, 265, 67, 291, 43, 267, 69, 293)(44, 268, 72, 296, 46, 270, 74, 298)(47, 271, 77, 301, 48, 272, 79, 303)(49, 273, 81, 305, 50, 274, 83, 307)(51, 275, 85, 309, 52, 276, 87, 311)(53, 277, 89, 313, 54, 278, 91, 315)(55, 279, 93, 317, 56, 280, 95, 319)(58, 282, 98, 322, 60, 284, 97, 321)(62, 286, 102, 326, 70, 294, 101, 325)(65, 289, 105, 329, 75, 299, 104, 328)(68, 292, 108, 332, 71, 295, 107, 331)(73, 297, 113, 337, 76, 300, 112, 336)(78, 302, 118, 342, 80, 304, 117, 341)(82, 306, 122, 346, 84, 308, 121, 345)(86, 310, 126, 350, 88, 312, 125, 349)(90, 314, 130, 354, 92, 316, 129, 353)(94, 318, 134, 358, 96, 320, 133, 357)(99, 323, 137, 361, 100, 324, 138, 362)(103, 327, 141, 365, 110, 334, 142, 366)(106, 330, 144, 368, 115, 339, 145, 369)(109, 333, 147, 371, 111, 335, 148, 372)(114, 338, 152, 376, 116, 340, 153, 377)(119, 343, 157, 381, 120, 344, 158, 382)(123, 347, 161, 385, 124, 348, 162, 386)(127, 351, 165, 389, 128, 352, 166, 390)(131, 355, 169, 393, 132, 356, 170, 394)(135, 359, 173, 397, 136, 360, 174, 398)(139, 363, 178, 402, 140, 364, 177, 401)(143, 367, 182, 406, 150, 374, 181, 405)(146, 370, 185, 409, 155, 379, 184, 408)(149, 373, 188, 412, 151, 375, 187, 411)(154, 378, 193, 417, 156, 380, 192, 416)(159, 383, 198, 422, 160, 384, 197, 421)(163, 387, 202, 426, 164, 388, 201, 425)(167, 391, 206, 430, 168, 392, 205, 429)(171, 395, 210, 434, 172, 396, 209, 433)(175, 399, 214, 438, 176, 400, 213, 437)(179, 403, 217, 441, 180, 404, 218, 442)(183, 407, 221, 445, 190, 414, 222, 446)(186, 410, 223, 447, 195, 419, 224, 448)(189, 413, 219, 443, 191, 415, 220, 444)(194, 418, 215, 439, 196, 420, 216, 440)(199, 423, 212, 436, 200, 424, 211, 435)(203, 427, 208, 432, 204, 428, 207, 431)
	L = (1, 226)(2, 225)(3, 231)(4, 233)(5, 234)(6, 236)(7, 227)(8, 235)(9, 228)(10, 229)(11, 232)(12, 230)(13, 241)(14, 242)(15, 243)(16, 244)(17, 237)(18, 238)(19, 239)(20, 240)(21, 249)(22, 250)(23, 251)(24, 252)(25, 245)(26, 246)(27, 247)(28, 248)(29, 257)(30, 258)(31, 259)(32, 260)(33, 253)(34, 254)(35, 255)(36, 256)(37, 266)(38, 263)(39, 262)(40, 283)(41, 285)(42, 261)(43, 287)(44, 288)(45, 281)(46, 290)(47, 291)(48, 293)(49, 296)(50, 298)(51, 301)(52, 303)(53, 305)(54, 307)(55, 309)(56, 311)(57, 269)(58, 313)(59, 264)(60, 315)(61, 265)(62, 319)(63, 267)(64, 268)(65, 321)(66, 270)(67, 271)(68, 326)(69, 272)(70, 317)(71, 325)(72, 273)(73, 329)(74, 274)(75, 322)(76, 328)(77, 275)(78, 332)(79, 276)(80, 331)(81, 277)(82, 337)(83, 278)(84, 336)(85, 279)(86, 342)(87, 280)(88, 341)(89, 282)(90, 346)(91, 284)(92, 345)(93, 294)(94, 350)(95, 286)(96, 349)(97, 289)(98, 299)(99, 354)(100, 353)(101, 295)(102, 292)(103, 357)(104, 300)(105, 297)(106, 362)(107, 304)(108, 302)(109, 365)(110, 358)(111, 366)(112, 308)(113, 306)(114, 368)(115, 361)(116, 369)(117, 312)(118, 310)(119, 371)(120, 372)(121, 316)(122, 314)(123, 376)(124, 377)(125, 320)(126, 318)(127, 381)(128, 382)(129, 324)(130, 323)(131, 385)(132, 386)(133, 327)(134, 334)(135, 389)(136, 390)(137, 339)(138, 330)(139, 393)(140, 394)(141, 333)(142, 335)(143, 398)(144, 338)(145, 340)(146, 401)(147, 343)(148, 344)(149, 406)(150, 397)(151, 405)(152, 347)(153, 348)(154, 409)(155, 402)(156, 408)(157, 351)(158, 352)(159, 412)(160, 411)(161, 355)(162, 356)(163, 417)(164, 416)(165, 359)(166, 360)(167, 422)(168, 421)(169, 363)(170, 364)(171, 426)(172, 425)(173, 374)(174, 367)(175, 430)(176, 429)(177, 370)(178, 379)(179, 434)(180, 433)(181, 375)(182, 373)(183, 437)(184, 380)(185, 378)(186, 442)(187, 384)(188, 383)(189, 445)(190, 438)(191, 446)(192, 388)(193, 387)(194, 447)(195, 441)(196, 448)(197, 392)(198, 391)(199, 443)(200, 444)(201, 396)(202, 395)(203, 439)(204, 440)(205, 400)(206, 399)(207, 436)(208, 435)(209, 404)(210, 403)(211, 432)(212, 431)(213, 407)(214, 414)(215, 427)(216, 428)(217, 419)(218, 410)(219, 423)(220, 424)(221, 413)(222, 415)(223, 418)(224, 420)
	local type(s) :: { ( 2, 112, 2, 112, 2, 112, 2, 112 ) }
Outer automorphisms :: reflexible
Dual of E28.3148
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 56 e = 224 f = 114
	degree seq :: [ 8^56 ]

E28.3150 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 112})
Quotient :: loop
Aut^+ = C112 : C2 (small group id <224, 6>)
Aut   = $<448, 442>$ (small group id <448, 442>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, (T2 * T1^-1)^2, (T2^-1 * T1^-1)^2, T2^55 * T1 * T2^-1 * T1^-1 ]
Map::
	R = (1, 225, 3, 227, 10, 234, 18, 242, 26, 250, 34, 258, 42, 266, 50, 274, 58, 282, 66, 290, 105, 329, 113, 337, 117, 341, 121, 345, 125, 349, 129, 353, 133, 357, 138, 362, 146, 370, 181, 405, 187, 411, 191, 415, 195, 419, 199, 423, 203, 427, 207, 431, 211, 435, 219, 443, 222, 446, 213, 437, 180, 404, 173, 397, 170, 394, 165, 389, 162, 386, 157, 381, 154, 378, 149, 373, 144, 368, 104, 328, 100, 324, 94, 318, 92, 316, 86, 310, 84, 308, 78, 302, 76, 300, 70, 294, 74, 298, 62, 286, 54, 278, 46, 270, 38, 262, 30, 254, 22, 246, 14, 238, 6, 230, 13, 237, 21, 245, 29, 253, 37, 261, 45, 269, 53, 277, 61, 285, 101, 325, 109, 333, 110, 334, 114, 338, 118, 342, 122, 346, 126, 350, 130, 354, 134, 358, 139, 363, 147, 371, 182, 406, 188, 412, 192, 416, 196, 420, 200, 424, 204, 428, 208, 432, 212, 436, 220, 444, 221, 445, 214, 438, 179, 403, 174, 398, 169, 393, 166, 390, 161, 385, 158, 382, 153, 377, 150, 374, 141, 365, 108, 332, 98, 322, 96, 320, 90, 314, 88, 312, 82, 306, 80, 304, 73, 297, 68, 292, 60, 284, 52, 276, 44, 268, 36, 260, 28, 252, 20, 244, 12, 236, 5, 229)(2, 226, 7, 231, 15, 239, 23, 247, 31, 255, 39, 263, 47, 271, 55, 279, 63, 287, 103, 327, 111, 335, 115, 339, 119, 343, 123, 347, 127, 351, 131, 355, 136, 360, 142, 366, 177, 401, 185, 409, 189, 413, 193, 417, 197, 421, 201, 425, 205, 429, 209, 433, 215, 439, 224, 448, 217, 441, 184, 408, 175, 399, 172, 396, 167, 391, 164, 388, 159, 383, 156, 380, 151, 375, 148, 372, 106, 330, 135, 359, 95, 319, 97, 321, 87, 311, 89, 313, 79, 303, 81, 305, 71, 295, 72, 296, 65, 289, 57, 281, 49, 273, 41, 265, 33, 257, 25, 249, 17, 241, 9, 233, 4, 228, 11, 235, 19, 243, 27, 251, 35, 259, 43, 267, 51, 275, 59, 283, 67, 291, 107, 331, 112, 336, 116, 340, 120, 344, 124, 348, 128, 352, 132, 356, 137, 361, 143, 367, 178, 402, 186, 410, 190, 414, 194, 418, 198, 422, 202, 426, 206, 430, 210, 434, 216, 440, 223, 447, 218, 442, 183, 407, 176, 400, 171, 395, 168, 392, 163, 387, 160, 384, 155, 379, 152, 376, 145, 369, 140, 364, 99, 323, 102, 326, 91, 315, 93, 317, 83, 307, 85, 309, 75, 299, 77, 301, 69, 293, 64, 288, 56, 280, 48, 272, 40, 264, 32, 256, 24, 248, 16, 240, 8, 232)
	L = (1, 226)(2, 230)(3, 233)(4, 225)(5, 235)(6, 228)(7, 229)(8, 227)(9, 237)(10, 240)(11, 238)(12, 239)(13, 232)(14, 231)(15, 246)(16, 245)(17, 234)(18, 249)(19, 236)(20, 251)(21, 241)(22, 243)(23, 244)(24, 242)(25, 253)(26, 256)(27, 254)(28, 255)(29, 248)(30, 247)(31, 262)(32, 261)(33, 250)(34, 265)(35, 252)(36, 267)(37, 257)(38, 259)(39, 260)(40, 258)(41, 269)(42, 272)(43, 270)(44, 271)(45, 264)(46, 263)(47, 278)(48, 277)(49, 266)(50, 281)(51, 268)(52, 283)(53, 273)(54, 275)(55, 276)(56, 274)(57, 285)(58, 288)(59, 286)(60, 287)(61, 280)(62, 279)(63, 298)(64, 325)(65, 282)(66, 296)(67, 284)(68, 331)(69, 290)(70, 327)(71, 329)(72, 333)(73, 335)(74, 291)(75, 337)(76, 336)(77, 334)(78, 339)(79, 341)(80, 340)(81, 338)(82, 343)(83, 345)(84, 344)(85, 342)(86, 347)(87, 349)(88, 348)(89, 346)(90, 351)(91, 353)(92, 352)(93, 350)(94, 355)(95, 357)(96, 356)(97, 354)(98, 360)(99, 362)(100, 361)(101, 289)(102, 358)(103, 292)(104, 366)(105, 301)(106, 370)(107, 294)(108, 367)(109, 293)(110, 295)(111, 300)(112, 297)(113, 305)(114, 299)(115, 304)(116, 302)(117, 309)(118, 303)(119, 308)(120, 306)(121, 313)(122, 307)(123, 312)(124, 310)(125, 317)(126, 311)(127, 316)(128, 314)(129, 321)(130, 315)(131, 320)(132, 318)(133, 326)(134, 319)(135, 363)(136, 324)(137, 322)(138, 359)(139, 323)(140, 371)(141, 401)(142, 332)(143, 328)(144, 402)(145, 405)(146, 364)(147, 330)(148, 406)(149, 409)(150, 410)(151, 411)(152, 412)(153, 413)(154, 414)(155, 415)(156, 416)(157, 417)(158, 418)(159, 419)(160, 420)(161, 421)(162, 422)(163, 423)(164, 424)(165, 425)(166, 426)(167, 427)(168, 428)(169, 429)(170, 430)(171, 431)(172, 432)(173, 433)(174, 434)(175, 435)(176, 436)(177, 368)(178, 365)(179, 439)(180, 440)(181, 372)(182, 369)(183, 443)(184, 444)(185, 374)(186, 373)(187, 376)(188, 375)(189, 378)(190, 377)(191, 380)(192, 379)(193, 382)(194, 381)(195, 384)(196, 383)(197, 386)(198, 385)(199, 388)(200, 387)(201, 390)(202, 389)(203, 392)(204, 391)(205, 394)(206, 393)(207, 396)(208, 395)(209, 398)(210, 397)(211, 400)(212, 399)(213, 448)(214, 447)(215, 404)(216, 403)(217, 446)(218, 445)(219, 408)(220, 407)(221, 441)(222, 442)(223, 437)(224, 438)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.3146
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 224 f = 168
	degree seq :: [ 224^2 ]

E28.3151 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 112})
Quotient :: loop
Aut^+ = C112 : C2 (small group id <224, 6>)
Aut   = $<448, 442>$ (small group id <448, 442>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-2)^2, (T2 * T1)^4, T2 * T1^-1 * T2 * T1^55, T1^-2 * T2 * T1^27 * T2 * T1^-27 ]
Map:: polytopal non-degenerate
	R = (1, 225, 3, 227)(2, 226, 6, 230)(4, 228, 9, 233)(5, 229, 12, 236)(7, 231, 16, 240)(8, 232, 17, 241)(10, 234, 15, 239)(11, 235, 21, 245)(13, 237, 23, 247)(14, 238, 24, 248)(18, 242, 26, 250)(19, 243, 27, 251)(20, 244, 30, 254)(22, 246, 32, 256)(25, 249, 34, 258)(28, 252, 33, 257)(29, 253, 38, 262)(31, 255, 40, 264)(35, 259, 42, 266)(36, 260, 43, 267)(37, 261, 46, 270)(39, 263, 48, 272)(41, 265, 50, 274)(44, 268, 49, 273)(45, 269, 54, 278)(47, 271, 56, 280)(51, 275, 58, 282)(52, 276, 59, 283)(53, 277, 62, 286)(55, 279, 64, 288)(57, 281, 66, 290)(60, 284, 65, 289)(61, 285, 105, 329)(63, 287, 87, 311)(67, 291, 109, 333)(68, 292, 73, 297)(69, 293, 111, 335)(70, 294, 113, 337)(71, 295, 115, 339)(72, 296, 117, 341)(74, 298, 120, 344)(75, 299, 122, 346)(76, 300, 124, 348)(77, 301, 126, 350)(78, 302, 128, 352)(79, 303, 130, 354)(80, 304, 132, 356)(81, 305, 134, 358)(82, 306, 136, 360)(83, 307, 138, 362)(84, 308, 140, 364)(85, 309, 142, 366)(86, 310, 144, 368)(88, 312, 147, 371)(89, 313, 149, 373)(90, 314, 151, 375)(91, 315, 153, 377)(92, 316, 155, 379)(93, 317, 157, 381)(94, 318, 159, 383)(95, 319, 161, 385)(96, 320, 163, 387)(97, 321, 165, 389)(98, 322, 167, 391)(99, 323, 169, 393)(100, 324, 171, 395)(101, 325, 173, 397)(102, 326, 175, 399)(103, 327, 177, 401)(104, 328, 179, 403)(106, 330, 181, 405)(107, 331, 183, 407)(108, 332, 185, 409)(110, 334, 187, 411)(112, 336, 189, 413)(114, 338, 191, 415)(116, 340, 193, 417)(118, 342, 195, 419)(119, 343, 197, 421)(121, 345, 199, 423)(123, 347, 201, 425)(125, 349, 203, 427)(127, 351, 205, 429)(129, 353, 207, 431)(131, 355, 209, 433)(133, 357, 211, 435)(135, 359, 213, 437)(137, 361, 215, 439)(139, 363, 216, 440)(141, 365, 217, 441)(143, 367, 219, 443)(145, 369, 206, 430)(146, 370, 221, 445)(148, 372, 223, 447)(150, 374, 200, 424)(152, 376, 224, 448)(154, 378, 220, 444)(156, 380, 196, 420)(158, 382, 208, 432)(160, 384, 210, 434)(162, 386, 192, 416)(164, 388, 214, 438)(166, 390, 202, 426)(168, 392, 204, 428)(170, 394, 218, 442)(172, 396, 190, 414)(174, 398, 188, 412)(176, 400, 194, 418)(178, 402, 182, 406)(180, 404, 212, 436)(184, 408, 198, 422)(186, 410, 222, 446)
	L = (1, 226)(2, 229)(3, 231)(4, 225)(5, 235)(6, 237)(7, 239)(8, 227)(9, 242)(10, 228)(11, 244)(12, 232)(13, 233)(14, 230)(15, 249)(16, 247)(17, 248)(18, 251)(19, 234)(20, 253)(21, 238)(22, 236)(23, 241)(24, 256)(25, 257)(26, 240)(27, 259)(28, 243)(29, 261)(30, 246)(31, 245)(32, 264)(33, 265)(34, 250)(35, 267)(36, 252)(37, 269)(38, 255)(39, 254)(40, 272)(41, 273)(42, 258)(43, 275)(44, 260)(45, 277)(46, 263)(47, 262)(48, 280)(49, 281)(50, 266)(51, 283)(52, 268)(53, 285)(54, 271)(55, 270)(56, 288)(57, 289)(58, 274)(59, 291)(60, 276)(61, 293)(62, 279)(63, 278)(64, 311)(65, 299)(66, 282)(67, 297)(68, 284)(69, 294)(70, 296)(71, 298)(72, 301)(73, 302)(74, 303)(75, 295)(76, 306)(77, 307)(78, 300)(79, 310)(80, 308)(81, 309)(82, 312)(83, 313)(84, 305)(85, 314)(86, 315)(87, 304)(88, 316)(89, 317)(90, 318)(91, 319)(92, 320)(93, 321)(94, 322)(95, 323)(96, 324)(97, 325)(98, 326)(99, 327)(100, 328)(101, 330)(102, 331)(103, 332)(104, 334)(105, 287)(106, 336)(107, 370)(108, 347)(109, 290)(110, 343)(111, 356)(112, 338)(113, 364)(114, 342)(115, 292)(116, 345)(117, 358)(118, 351)(119, 353)(120, 352)(121, 355)(122, 333)(123, 340)(124, 339)(125, 361)(126, 366)(127, 363)(128, 346)(129, 349)(130, 348)(131, 369)(132, 286)(133, 365)(134, 335)(135, 367)(136, 344)(137, 372)(138, 375)(139, 374)(140, 329)(141, 359)(142, 337)(143, 376)(144, 360)(145, 378)(146, 357)(147, 354)(148, 380)(149, 383)(150, 382)(151, 341)(152, 384)(153, 371)(154, 386)(155, 368)(156, 388)(157, 391)(158, 390)(159, 350)(160, 392)(161, 379)(162, 394)(163, 377)(164, 396)(165, 399)(166, 398)(167, 362)(168, 400)(169, 387)(170, 402)(171, 385)(172, 404)(173, 407)(174, 406)(175, 373)(176, 408)(177, 395)(178, 410)(179, 393)(180, 412)(181, 445)(182, 414)(183, 381)(184, 446)(185, 403)(186, 426)(187, 401)(188, 422)(189, 435)(190, 416)(191, 441)(192, 420)(193, 421)(194, 424)(195, 437)(196, 430)(197, 409)(198, 432)(199, 431)(200, 434)(201, 411)(202, 418)(203, 417)(204, 440)(205, 443)(206, 439)(207, 425)(208, 428)(209, 427)(210, 429)(211, 397)(212, 442)(213, 413)(214, 444)(215, 423)(216, 448)(217, 405)(218, 438)(219, 415)(220, 447)(221, 389)(222, 436)(223, 433)(224, 419)
	local type(s) :: { ( 4, 112, 4, 112 ) }
Outer automorphisms :: reflexible
Dual of E28.3147
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 112 e = 224 f = 58
	degree seq :: [ 4^112 ]

E28.3152 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 112})
Quotient :: dipole
Aut^+ = C112 : C2 (small group id <224, 6>)
Aut   = $<448, 442>$ (small group id <448, 442>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, Y2^4, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1 * Y2^-1)^2, (Y2^-1 * R * Y2^-1)^2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y3 * Y2^-1)^112 ]
Map::
	R = (1, 225, 2, 226)(3, 227, 9, 233)(4, 228, 12, 236)(5, 229, 15, 239)(6, 230, 17, 241)(7, 231, 20, 244)(8, 232, 23, 247)(10, 234, 18, 242)(11, 235, 21, 245)(13, 237, 19, 243)(14, 238, 24, 248)(16, 240, 22, 246)(25, 249, 45, 269)(26, 250, 47, 271)(27, 251, 49, 273)(28, 252, 48, 272)(29, 253, 46, 270)(30, 254, 50, 274)(31, 255, 53, 277)(32, 256, 56, 280)(33, 257, 54, 278)(34, 258, 55, 279)(35, 259, 59, 283)(36, 260, 61, 285)(37, 261, 63, 287)(38, 262, 62, 286)(39, 263, 60, 284)(40, 264, 64, 288)(41, 265, 67, 291)(42, 266, 70, 294)(43, 267, 68, 292)(44, 268, 69, 293)(51, 275, 71, 295)(52, 276, 72, 296)(57, 281, 65, 289)(58, 282, 66, 290)(73, 297, 93, 317)(74, 298, 105, 329)(75, 299, 92, 316)(76, 300, 91, 315)(77, 301, 89, 313)(78, 302, 108, 332)(79, 303, 110, 334)(80, 304, 109, 333)(81, 305, 106, 330)(82, 306, 107, 331)(83, 307, 113, 337)(84, 308, 116, 340)(85, 309, 114, 338)(86, 310, 115, 339)(87, 311, 117, 341)(88, 312, 118, 342)(90, 314, 121, 345)(94, 318, 124, 348)(95, 319, 126, 350)(96, 320, 125, 349)(97, 321, 122, 346)(98, 322, 123, 347)(99, 323, 129, 353)(100, 324, 132, 356)(101, 325, 130, 354)(102, 326, 131, 355)(103, 327, 133, 357)(104, 328, 134, 358)(111, 335, 135, 359)(112, 336, 136, 360)(119, 343, 127, 351)(120, 344, 128, 352)(137, 361, 155, 379)(138, 362, 165, 389)(139, 363, 156, 380)(140, 364, 166, 390)(141, 365, 151, 375)(142, 366, 153, 377)(143, 367, 169, 393)(144, 368, 172, 396)(145, 369, 170, 394)(146, 370, 171, 395)(147, 371, 173, 397)(148, 372, 174, 398)(149, 373, 175, 399)(150, 374, 176, 400)(152, 376, 179, 403)(154, 378, 180, 404)(157, 381, 183, 407)(158, 382, 186, 410)(159, 383, 184, 408)(160, 384, 185, 409)(161, 385, 187, 411)(162, 386, 188, 412)(163, 387, 189, 413)(164, 388, 190, 414)(167, 391, 191, 415)(168, 392, 192, 416)(177, 401, 181, 405)(178, 402, 182, 406)(193, 417, 217, 441)(194, 418, 218, 442)(195, 419, 216, 440)(196, 420, 219, 443)(197, 421, 213, 437)(198, 422, 214, 438)(199, 423, 212, 436)(200, 424, 211, 435)(201, 425, 209, 433)(202, 426, 210, 434)(203, 427, 220, 444)(204, 428, 207, 431)(205, 429, 221, 445)(206, 430, 222, 446)(208, 432, 223, 447)(215, 439, 224, 448)(449, 673, 451, 675, 458, 682, 453, 677)(450, 674, 454, 678, 466, 690, 456, 680)(452, 676, 461, 685, 476, 700, 462, 686)(455, 679, 469, 693, 486, 710, 470, 694)(457, 681, 473, 697, 463, 687, 475, 699)(459, 683, 477, 701, 464, 688, 478, 702)(460, 684, 474, 698, 496, 720, 480, 704)(465, 689, 483, 707, 471, 695, 485, 709)(467, 691, 487, 711, 472, 696, 488, 712)(468, 692, 484, 708, 510, 734, 490, 714)(479, 703, 502, 726, 528, 752, 503, 727)(481, 705, 505, 729, 482, 706, 506, 730)(489, 713, 516, 740, 544, 768, 517, 741)(491, 715, 519, 743, 492, 716, 520, 744)(493, 717, 521, 745, 497, 721, 523, 747)(494, 718, 524, 748, 498, 722, 525, 749)(495, 719, 522, 746, 504, 728, 527, 751)(499, 723, 529, 753, 500, 724, 530, 754)(501, 725, 526, 750, 557, 781, 532, 756)(507, 731, 537, 761, 511, 735, 539, 763)(508, 732, 540, 764, 512, 736, 541, 765)(509, 733, 538, 762, 518, 742, 543, 767)(513, 737, 545, 769, 514, 738, 546, 770)(515, 739, 542, 766, 573, 797, 548, 772)(531, 755, 562, 786, 588, 812, 563, 787)(533, 757, 565, 789, 534, 758, 566, 790)(535, 759, 567, 791, 536, 760, 568, 792)(547, 771, 578, 802, 602, 826, 579, 803)(549, 773, 581, 805, 550, 774, 582, 806)(551, 775, 583, 807, 552, 776, 584, 808)(553, 777, 571, 795, 558, 782, 570, 794)(554, 778, 569, 793, 555, 779, 574, 798)(556, 780, 585, 809, 564, 788, 587, 811)(559, 783, 589, 813, 560, 784, 590, 814)(561, 785, 586, 810, 614, 838, 592, 816)(572, 796, 599, 823, 580, 804, 601, 825)(575, 799, 603, 827, 576, 800, 604, 828)(577, 801, 600, 824, 628, 852, 606, 830)(591, 815, 618, 842, 642, 866, 619, 843)(593, 817, 621, 845, 594, 818, 622, 846)(595, 819, 623, 847, 596, 820, 624, 848)(597, 821, 625, 849, 598, 822, 626, 850)(605, 829, 632, 856, 654, 878, 633, 857)(607, 831, 635, 859, 608, 832, 636, 860)(609, 833, 637, 861, 610, 834, 638, 862)(611, 835, 639, 863, 612, 836, 640, 864)(613, 837, 629, 853, 620, 844, 630, 854)(615, 839, 634, 858, 616, 840, 627, 851)(617, 841, 641, 865, 666, 890, 644, 868)(631, 855, 653, 877, 670, 894, 656, 880)(643, 867, 661, 885, 672, 896, 662, 886)(645, 869, 660, 884, 646, 870, 659, 883)(647, 871, 657, 881, 648, 872, 658, 882)(649, 873, 668, 892, 650, 874, 655, 879)(651, 875, 667, 891, 652, 876, 665, 889)(663, 887, 671, 895, 664, 888, 669, 893)
	L = (1, 450)(2, 449)(3, 457)(4, 460)(5, 463)(6, 465)(7, 468)(8, 471)(9, 451)(10, 466)(11, 469)(12, 452)(13, 467)(14, 472)(15, 453)(16, 470)(17, 454)(18, 458)(19, 461)(20, 455)(21, 459)(22, 464)(23, 456)(24, 462)(25, 493)(26, 495)(27, 497)(28, 496)(29, 494)(30, 498)(31, 501)(32, 504)(33, 502)(34, 503)(35, 507)(36, 509)(37, 511)(38, 510)(39, 508)(40, 512)(41, 515)(42, 518)(43, 516)(44, 517)(45, 473)(46, 477)(47, 474)(48, 476)(49, 475)(50, 478)(51, 519)(52, 520)(53, 479)(54, 481)(55, 482)(56, 480)(57, 513)(58, 514)(59, 483)(60, 487)(61, 484)(62, 486)(63, 485)(64, 488)(65, 505)(66, 506)(67, 489)(68, 491)(69, 492)(70, 490)(71, 499)(72, 500)(73, 541)(74, 553)(75, 540)(76, 539)(77, 537)(78, 556)(79, 558)(80, 557)(81, 554)(82, 555)(83, 561)(84, 564)(85, 562)(86, 563)(87, 565)(88, 566)(89, 525)(90, 569)(91, 524)(92, 523)(93, 521)(94, 572)(95, 574)(96, 573)(97, 570)(98, 571)(99, 577)(100, 580)(101, 578)(102, 579)(103, 581)(104, 582)(105, 522)(106, 529)(107, 530)(108, 526)(109, 528)(110, 527)(111, 583)(112, 584)(113, 531)(114, 533)(115, 534)(116, 532)(117, 535)(118, 536)(119, 575)(120, 576)(121, 538)(122, 545)(123, 546)(124, 542)(125, 544)(126, 543)(127, 567)(128, 568)(129, 547)(130, 549)(131, 550)(132, 548)(133, 551)(134, 552)(135, 559)(136, 560)(137, 603)(138, 613)(139, 604)(140, 614)(141, 599)(142, 601)(143, 617)(144, 620)(145, 618)(146, 619)(147, 621)(148, 622)(149, 623)(150, 624)(151, 589)(152, 627)(153, 590)(154, 628)(155, 585)(156, 587)(157, 631)(158, 634)(159, 632)(160, 633)(161, 635)(162, 636)(163, 637)(164, 638)(165, 586)(166, 588)(167, 639)(168, 640)(169, 591)(170, 593)(171, 594)(172, 592)(173, 595)(174, 596)(175, 597)(176, 598)(177, 629)(178, 630)(179, 600)(180, 602)(181, 625)(182, 626)(183, 605)(184, 607)(185, 608)(186, 606)(187, 609)(188, 610)(189, 611)(190, 612)(191, 615)(192, 616)(193, 665)(194, 666)(195, 664)(196, 667)(197, 661)(198, 662)(199, 660)(200, 659)(201, 657)(202, 658)(203, 668)(204, 655)(205, 669)(206, 670)(207, 652)(208, 671)(209, 649)(210, 650)(211, 648)(212, 647)(213, 645)(214, 646)(215, 672)(216, 643)(217, 641)(218, 642)(219, 644)(220, 651)(221, 653)(222, 654)(223, 656)(224, 663)(225, 673)(226, 674)(227, 675)(228, 676)(229, 677)(230, 678)(231, 679)(232, 680)(233, 681)(234, 682)(235, 683)(236, 684)(237, 685)(238, 686)(239, 687)(240, 688)(241, 689)(242, 690)(243, 691)(244, 692)(245, 693)(246, 694)(247, 695)(248, 696)(249, 697)(250, 698)(251, 699)(252, 700)(253, 701)(254, 702)(255, 703)(256, 704)(257, 705)(258, 706)(259, 707)(260, 708)(261, 709)(262, 710)(263, 711)(264, 712)(265, 713)(266, 714)(267, 715)(268, 716)(269, 717)(270, 718)(271, 719)(272, 720)(273, 721)(274, 722)(275, 723)(276, 724)(277, 725)(278, 726)(279, 727)(280, 728)(281, 729)(282, 730)(283, 731)(284, 732)(285, 733)(286, 734)(287, 735)(288, 736)(289, 737)(290, 738)(291, 739)(292, 740)(293, 741)(294, 742)(295, 743)(296, 744)(297, 745)(298, 746)(299, 747)(300, 748)(301, 749)(302, 750)(303, 751)(304, 752)(305, 753)(306, 754)(307, 755)(308, 756)(309, 757)(310, 758)(311, 759)(312, 760)(313, 761)(314, 762)(315, 763)(316, 764)(317, 765)(318, 766)(319, 767)(320, 768)(321, 769)(322, 770)(323, 771)(324, 772)(325, 773)(326, 774)(327, 775)(328, 776)(329, 777)(330, 778)(331, 779)(332, 780)(333, 781)(334, 782)(335, 783)(336, 784)(337, 785)(338, 786)(339, 787)(340, 788)(341, 789)(342, 790)(343, 791)(344, 792)(345, 793)(346, 794)(347, 795)(348, 796)(349, 797)(350, 798)(351, 799)(352, 800)(353, 801)(354, 802)(355, 803)(356, 804)(357, 805)(358, 806)(359, 807)(360, 808)(361, 809)(362, 810)(363, 811)(364, 812)(365, 813)(366, 814)(367, 815)(368, 816)(369, 817)(370, 818)(371, 819)(372, 820)(373, 821)(374, 822)(375, 823)(376, 824)(377, 825)(378, 826)(379, 827)(380, 828)(381, 829)(382, 830)(383, 831)(384, 832)(385, 833)(386, 834)(387, 835)(388, 836)(389, 837)(390, 838)(391, 839)(392, 840)(393, 841)(394, 842)(395, 843)(396, 844)(397, 845)(398, 846)(399, 847)(400, 848)(401, 849)(402, 850)(403, 851)(404, 852)(405, 853)(406, 854)(407, 855)(408, 856)(409, 857)(410, 858)(411, 859)(412, 860)(413, 861)(414, 862)(415, 863)(416, 864)(417, 865)(418, 866)(419, 867)(420, 868)(421, 869)(422, 870)(423, 871)(424, 872)(425, 873)(426, 874)(427, 875)(428, 876)(429, 877)(430, 878)(431, 879)(432, 880)(433, 881)(434, 882)(435, 883)(436, 884)(437, 885)(438, 886)(439, 887)(440, 888)(441, 889)(442, 890)(443, 891)(444, 892)(445, 893)(446, 894)(447, 895)(448, 896)
	local type(s) :: { ( 2, 224, 2, 224 ), ( 2, 224, 2, 224, 2, 224, 2, 224 ) }
Outer automorphisms :: reflexible
Dual of E28.3155
Graph:: bipartite
	v = 168 e = 448 f = 226
	degree seq :: [ 4^112, 8^56 ]

E28.3153 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 112})
Quotient :: dipole
Aut^+ = C112 : C2 (small group id <224, 6>)
Aut   = $<448, 442>$ (small group id <448, 442>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2 * Y1)^2, (Y3^-1 * Y1^-1)^2, (Y2^-1 * Y1)^2, Y1^4, Y1^-1 * Y2^-56 * Y1^-1 ]
Map::
	R = (1, 225, 2, 226, 6, 230, 4, 228)(3, 227, 9, 233, 13, 237, 8, 232)(5, 229, 11, 235, 14, 238, 7, 231)(10, 234, 16, 240, 21, 245, 17, 241)(12, 236, 15, 239, 22, 246, 19, 243)(18, 242, 25, 249, 29, 253, 24, 248)(20, 244, 27, 251, 30, 254, 23, 247)(26, 250, 32, 256, 37, 261, 33, 257)(28, 252, 31, 255, 38, 262, 35, 259)(34, 258, 41, 265, 45, 269, 40, 264)(36, 260, 43, 267, 46, 270, 39, 263)(42, 266, 48, 272, 53, 277, 49, 273)(44, 268, 47, 271, 54, 278, 51, 275)(50, 274, 57, 281, 61, 285, 56, 280)(52, 276, 59, 283, 62, 286, 55, 279)(58, 282, 64, 288, 109, 333, 65, 289)(60, 284, 63, 287, 90, 314, 67, 291)(66, 290, 88, 312, 130, 354, 80, 304)(68, 292, 115, 339, 84, 308, 111, 335)(69, 293, 117, 341, 74, 298, 118, 342)(70, 294, 119, 343, 72, 296, 120, 344)(71, 295, 121, 345, 81, 305, 122, 346)(73, 297, 113, 337, 82, 306, 123, 347)(75, 299, 124, 348, 79, 303, 125, 349)(76, 300, 126, 350, 77, 301, 127, 351)(78, 302, 128, 352, 87, 311, 129, 353)(83, 307, 131, 355, 86, 310, 132, 356)(85, 309, 133, 357, 93, 317, 134, 358)(89, 313, 135, 359, 92, 316, 136, 360)(91, 315, 137, 361, 97, 321, 138, 362)(94, 318, 139, 363, 96, 320, 140, 364)(95, 319, 141, 365, 101, 325, 142, 366)(98, 322, 143, 367, 100, 324, 144, 368)(99, 323, 145, 369, 105, 329, 146, 370)(102, 326, 147, 371, 104, 328, 148, 372)(103, 327, 149, 373, 110, 334, 150, 374)(106, 330, 152, 376, 108, 332, 153, 377)(107, 331, 154, 378, 151, 375, 155, 379)(112, 336, 158, 382, 116, 340, 159, 383)(114, 338, 162, 386, 156, 380, 163, 387)(157, 381, 201, 425, 160, 384, 202, 426)(161, 385, 205, 429, 164, 388, 206, 430)(165, 389, 209, 433, 166, 390, 210, 434)(167, 391, 211, 435, 168, 392, 212, 436)(169, 393, 213, 437, 170, 394, 214, 438)(171, 395, 215, 439, 172, 396, 216, 440)(173, 397, 217, 441, 174, 398, 218, 442)(175, 399, 219, 443, 176, 400, 220, 444)(177, 401, 221, 445, 178, 402, 222, 446)(179, 403, 223, 447, 180, 404, 224, 448)(181, 405, 208, 432, 182, 406, 207, 431)(183, 407, 204, 428, 184, 408, 203, 427)(185, 409, 199, 423, 186, 410, 200, 424)(187, 411, 197, 421, 188, 412, 198, 422)(189, 413, 196, 420, 190, 414, 195, 419)(191, 415, 194, 418, 192, 416, 193, 417)(449, 673, 451, 675, 458, 682, 466, 690, 474, 698, 482, 706, 490, 714, 498, 722, 506, 730, 514, 738, 561, 785, 565, 789, 569, 793, 576, 800, 581, 805, 585, 809, 589, 813, 593, 817, 597, 821, 602, 826, 610, 834, 653, 877, 657, 881, 661, 885, 667, 891, 671, 895, 652, 876, 645, 869, 642, 866, 637, 861, 634, 858, 629, 853, 626, 850, 619, 843, 616, 840, 621, 845, 608, 832, 560, 784, 556, 780, 550, 774, 548, 772, 542, 766, 540, 764, 531, 755, 527, 751, 518, 742, 525, 749, 532, 756, 538, 762, 510, 734, 502, 726, 494, 718, 486, 710, 478, 702, 470, 694, 462, 686, 454, 678, 461, 685, 469, 693, 477, 701, 485, 709, 493, 717, 501, 725, 509, 733, 557, 781, 578, 802, 571, 795, 566, 790, 570, 794, 577, 801, 582, 806, 586, 810, 590, 814, 594, 818, 598, 822, 603, 827, 611, 835, 654, 878, 658, 882, 662, 886, 668, 892, 672, 896, 651, 875, 646, 870, 641, 865, 638, 862, 633, 857, 630, 854, 625, 849, 620, 844, 615, 839, 622, 846, 605, 829, 564, 788, 554, 778, 552, 776, 546, 770, 544, 768, 537, 761, 534, 758, 523, 747, 520, 744, 524, 748, 516, 740, 508, 732, 500, 724, 492, 716, 484, 708, 476, 700, 468, 692, 460, 684, 453, 677)(450, 674, 455, 679, 463, 687, 471, 695, 479, 703, 487, 711, 495, 719, 503, 727, 511, 735, 559, 783, 574, 798, 567, 791, 572, 796, 579, 803, 583, 807, 587, 811, 591, 815, 595, 819, 600, 824, 606, 830, 649, 873, 665, 889, 659, 883, 663, 887, 669, 893, 656, 880, 647, 871, 644, 868, 639, 863, 636, 860, 631, 855, 628, 852, 623, 847, 618, 842, 613, 837, 612, 836, 562, 786, 599, 823, 551, 775, 553, 777, 543, 767, 545, 769, 533, 757, 535, 759, 519, 743, 522, 746, 521, 745, 536, 760, 513, 737, 505, 729, 497, 721, 489, 713, 481, 705, 473, 697, 465, 689, 457, 681, 452, 676, 459, 683, 467, 691, 475, 699, 483, 707, 491, 715, 499, 723, 507, 731, 515, 739, 563, 787, 575, 799, 568, 792, 573, 797, 580, 804, 584, 808, 588, 812, 592, 816, 596, 820, 601, 825, 607, 831, 650, 874, 666, 890, 660, 884, 664, 888, 670, 894, 655, 879, 648, 872, 643, 867, 640, 864, 635, 859, 632, 856, 627, 851, 624, 848, 617, 841, 614, 838, 609, 833, 604, 828, 555, 779, 558, 782, 547, 771, 549, 773, 539, 763, 541, 765, 526, 750, 529, 753, 517, 741, 530, 754, 528, 752, 512, 736, 504, 728, 496, 720, 488, 712, 480, 704, 472, 696, 464, 688, 456, 680)
	L = (1, 451)(2, 455)(3, 458)(4, 459)(5, 449)(6, 461)(7, 463)(8, 450)(9, 452)(10, 466)(11, 467)(12, 453)(13, 469)(14, 454)(15, 471)(16, 456)(17, 457)(18, 474)(19, 475)(20, 460)(21, 477)(22, 462)(23, 479)(24, 464)(25, 465)(26, 482)(27, 483)(28, 468)(29, 485)(30, 470)(31, 487)(32, 472)(33, 473)(34, 490)(35, 491)(36, 476)(37, 493)(38, 478)(39, 495)(40, 480)(41, 481)(42, 498)(43, 499)(44, 484)(45, 501)(46, 486)(47, 503)(48, 488)(49, 489)(50, 506)(51, 507)(52, 492)(53, 509)(54, 494)(55, 511)(56, 496)(57, 497)(58, 514)(59, 515)(60, 500)(61, 557)(62, 502)(63, 559)(64, 504)(65, 505)(66, 561)(67, 563)(68, 508)(69, 530)(70, 525)(71, 522)(72, 524)(73, 536)(74, 521)(75, 520)(76, 516)(77, 532)(78, 529)(79, 518)(80, 512)(81, 517)(82, 528)(83, 527)(84, 538)(85, 535)(86, 523)(87, 519)(88, 513)(89, 534)(90, 510)(91, 541)(92, 531)(93, 526)(94, 540)(95, 545)(96, 537)(97, 533)(98, 544)(99, 549)(100, 542)(101, 539)(102, 548)(103, 553)(104, 546)(105, 543)(106, 552)(107, 558)(108, 550)(109, 578)(110, 547)(111, 574)(112, 556)(113, 565)(114, 599)(115, 575)(116, 554)(117, 569)(118, 570)(119, 572)(120, 573)(121, 576)(122, 577)(123, 566)(124, 579)(125, 580)(126, 567)(127, 568)(128, 581)(129, 582)(130, 571)(131, 583)(132, 584)(133, 585)(134, 586)(135, 587)(136, 588)(137, 589)(138, 590)(139, 591)(140, 592)(141, 593)(142, 594)(143, 595)(144, 596)(145, 597)(146, 598)(147, 600)(148, 601)(149, 602)(150, 603)(151, 551)(152, 606)(153, 607)(154, 610)(155, 611)(156, 555)(157, 564)(158, 649)(159, 650)(160, 560)(161, 604)(162, 653)(163, 654)(164, 562)(165, 612)(166, 609)(167, 622)(168, 621)(169, 614)(170, 613)(171, 616)(172, 615)(173, 608)(174, 605)(175, 618)(176, 617)(177, 620)(178, 619)(179, 624)(180, 623)(181, 626)(182, 625)(183, 628)(184, 627)(185, 630)(186, 629)(187, 632)(188, 631)(189, 634)(190, 633)(191, 636)(192, 635)(193, 638)(194, 637)(195, 640)(196, 639)(197, 642)(198, 641)(199, 644)(200, 643)(201, 665)(202, 666)(203, 646)(204, 645)(205, 657)(206, 658)(207, 648)(208, 647)(209, 661)(210, 662)(211, 663)(212, 664)(213, 667)(214, 668)(215, 669)(216, 670)(217, 659)(218, 660)(219, 671)(220, 672)(221, 656)(222, 655)(223, 652)(224, 651)(225, 673)(226, 674)(227, 675)(228, 676)(229, 677)(230, 678)(231, 679)(232, 680)(233, 681)(234, 682)(235, 683)(236, 684)(237, 685)(238, 686)(239, 687)(240, 688)(241, 689)(242, 690)(243, 691)(244, 692)(245, 693)(246, 694)(247, 695)(248, 696)(249, 697)(250, 698)(251, 699)(252, 700)(253, 701)(254, 702)(255, 703)(256, 704)(257, 705)(258, 706)(259, 707)(260, 708)(261, 709)(262, 710)(263, 711)(264, 712)(265, 713)(266, 714)(267, 715)(268, 716)(269, 717)(270, 718)(271, 719)(272, 720)(273, 721)(274, 722)(275, 723)(276, 724)(277, 725)(278, 726)(279, 727)(280, 728)(281, 729)(282, 730)(283, 731)(284, 732)(285, 733)(286, 734)(287, 735)(288, 736)(289, 737)(290, 738)(291, 739)(292, 740)(293, 741)(294, 742)(295, 743)(296, 744)(297, 745)(298, 746)(299, 747)(300, 748)(301, 749)(302, 750)(303, 751)(304, 752)(305, 753)(306, 754)(307, 755)(308, 756)(309, 757)(310, 758)(311, 759)(312, 760)(313, 761)(314, 762)(315, 763)(316, 764)(317, 765)(318, 766)(319, 767)(320, 768)(321, 769)(322, 770)(323, 771)(324, 772)(325, 773)(326, 774)(327, 775)(328, 776)(329, 777)(330, 778)(331, 779)(332, 780)(333, 781)(334, 782)(335, 783)(336, 784)(337, 785)(338, 786)(339, 787)(340, 788)(341, 789)(342, 790)(343, 791)(344, 792)(345, 793)(346, 794)(347, 795)(348, 796)(349, 797)(350, 798)(351, 799)(352, 800)(353, 801)(354, 802)(355, 803)(356, 804)(357, 805)(358, 806)(359, 807)(360, 808)(361, 809)(362, 810)(363, 811)(364, 812)(365, 813)(366, 814)(367, 815)(368, 816)(369, 817)(370, 818)(371, 819)(372, 820)(373, 821)(374, 822)(375, 823)(376, 824)(377, 825)(378, 826)(379, 827)(380, 828)(381, 829)(382, 830)(383, 831)(384, 832)(385, 833)(386, 834)(387, 835)(388, 836)(389, 837)(390, 838)(391, 839)(392, 840)(393, 841)(394, 842)(395, 843)(396, 844)(397, 845)(398, 846)(399, 847)(400, 848)(401, 849)(402, 850)(403, 851)(404, 852)(405, 853)(406, 854)(407, 855)(408, 856)(409, 857)(410, 858)(411, 859)(412, 860)(413, 861)(414, 862)(415, 863)(416, 864)(417, 865)(418, 866)(419, 867)(420, 868)(421, 869)(422, 870)(423, 871)(424, 872)(425, 873)(426, 874)(427, 875)(428, 876)(429, 877)(430, 878)(431, 879)(432, 880)(433, 881)(434, 882)(435, 883)(436, 884)(437, 885)(438, 886)(439, 887)(440, 888)(441, 889)(442, 890)(443, 891)(444, 892)(445, 893)(446, 894)(447, 895)(448, 896)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.3154
Graph:: bipartite
	v = 58 e = 448 f = 336
	degree seq :: [ 8^56, 224^2 ]

E28.3154 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 112})
Quotient :: dipole
Aut^+ = C112 : C2 (small group id <224, 6>)
Aut   = $<448, 442>$ (small group id <448, 442>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y2)^2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2, Y3^53 * Y2 * Y3^-3 * Y2, (Y3^-1 * Y1^-1)^112 ]
Map:: polytopal
	R = (1, 225)(2, 226)(3, 227)(4, 228)(5, 229)(6, 230)(7, 231)(8, 232)(9, 233)(10, 234)(11, 235)(12, 236)(13, 237)(14, 238)(15, 239)(16, 240)(17, 241)(18, 242)(19, 243)(20, 244)(21, 245)(22, 246)(23, 247)(24, 248)(25, 249)(26, 250)(27, 251)(28, 252)(29, 253)(30, 254)(31, 255)(32, 256)(33, 257)(34, 258)(35, 259)(36, 260)(37, 261)(38, 262)(39, 263)(40, 264)(41, 265)(42, 266)(43, 267)(44, 268)(45, 269)(46, 270)(47, 271)(48, 272)(49, 273)(50, 274)(51, 275)(52, 276)(53, 277)(54, 278)(55, 279)(56, 280)(57, 281)(58, 282)(59, 283)(60, 284)(61, 285)(62, 286)(63, 287)(64, 288)(65, 289)(66, 290)(67, 291)(68, 292)(69, 293)(70, 294)(71, 295)(72, 296)(73, 297)(74, 298)(75, 299)(76, 300)(77, 301)(78, 302)(79, 303)(80, 304)(81, 305)(82, 306)(83, 307)(84, 308)(85, 309)(86, 310)(87, 311)(88, 312)(89, 313)(90, 314)(91, 315)(92, 316)(93, 317)(94, 318)(95, 319)(96, 320)(97, 321)(98, 322)(99, 323)(100, 324)(101, 325)(102, 326)(103, 327)(104, 328)(105, 329)(106, 330)(107, 331)(108, 332)(109, 333)(110, 334)(111, 335)(112, 336)(113, 337)(114, 338)(115, 339)(116, 340)(117, 341)(118, 342)(119, 343)(120, 344)(121, 345)(122, 346)(123, 347)(124, 348)(125, 349)(126, 350)(127, 351)(128, 352)(129, 353)(130, 354)(131, 355)(132, 356)(133, 357)(134, 358)(135, 359)(136, 360)(137, 361)(138, 362)(139, 363)(140, 364)(141, 365)(142, 366)(143, 367)(144, 368)(145, 369)(146, 370)(147, 371)(148, 372)(149, 373)(150, 374)(151, 375)(152, 376)(153, 377)(154, 378)(155, 379)(156, 380)(157, 381)(158, 382)(159, 383)(160, 384)(161, 385)(162, 386)(163, 387)(164, 388)(165, 389)(166, 390)(167, 391)(168, 392)(169, 393)(170, 394)(171, 395)(172, 396)(173, 397)(174, 398)(175, 399)(176, 400)(177, 401)(178, 402)(179, 403)(180, 404)(181, 405)(182, 406)(183, 407)(184, 408)(185, 409)(186, 410)(187, 411)(188, 412)(189, 413)(190, 414)(191, 415)(192, 416)(193, 417)(194, 418)(195, 419)(196, 420)(197, 421)(198, 422)(199, 423)(200, 424)(201, 425)(202, 426)(203, 427)(204, 428)(205, 429)(206, 430)(207, 431)(208, 432)(209, 433)(210, 434)(211, 435)(212, 436)(213, 437)(214, 438)(215, 439)(216, 440)(217, 441)(218, 442)(219, 443)(220, 444)(221, 445)(222, 446)(223, 447)(224, 448)(449, 673, 450, 674)(451, 675, 455, 679)(452, 676, 457, 681)(453, 677, 459, 683)(454, 678, 461, 685)(456, 680, 462, 686)(458, 682, 460, 684)(463, 687, 468, 692)(464, 688, 471, 695)(465, 689, 473, 697)(466, 690, 469, 693)(467, 691, 475, 699)(470, 694, 477, 701)(472, 696, 479, 703)(474, 698, 480, 704)(476, 700, 478, 702)(481, 705, 487, 711)(482, 706, 489, 713)(483, 707, 485, 709)(484, 708, 491, 715)(486, 710, 493, 717)(488, 712, 495, 719)(490, 714, 496, 720)(492, 716, 494, 718)(497, 721, 503, 727)(498, 722, 505, 729)(499, 723, 501, 725)(500, 724, 507, 731)(502, 726, 509, 733)(504, 728, 511, 735)(506, 730, 512, 736)(508, 732, 510, 734)(513, 737, 522, 746)(514, 738, 552, 776)(515, 739, 553, 777)(516, 740, 517, 741)(518, 742, 555, 779)(519, 743, 556, 780)(520, 744, 557, 781)(521, 745, 558, 782)(523, 747, 559, 783)(524, 748, 560, 784)(525, 749, 561, 785)(526, 750, 562, 786)(527, 751, 563, 787)(528, 752, 564, 788)(529, 753, 565, 789)(530, 754, 566, 790)(531, 755, 567, 791)(532, 756, 568, 792)(533, 757, 569, 793)(534, 758, 570, 794)(535, 759, 571, 795)(536, 760, 572, 796)(537, 761, 573, 797)(538, 762, 574, 798)(539, 763, 575, 799)(540, 764, 576, 800)(541, 765, 577, 801)(542, 766, 578, 802)(543, 767, 579, 803)(544, 768, 580, 804)(545, 769, 582, 806)(546, 770, 583, 807)(547, 771, 584, 808)(548, 772, 585, 809)(549, 773, 587, 811)(550, 774, 588, 812)(551, 775, 590, 814)(554, 778, 592, 816)(581, 805, 619, 843)(586, 810, 624, 848)(589, 813, 628, 852)(591, 815, 626, 850)(593, 817, 632, 856)(594, 818, 630, 854)(595, 819, 633, 857)(596, 820, 634, 858)(597, 821, 635, 859)(598, 822, 636, 860)(599, 823, 637, 861)(600, 824, 638, 862)(601, 825, 639, 863)(602, 826, 640, 864)(603, 827, 641, 865)(604, 828, 642, 866)(605, 829, 643, 867)(606, 830, 644, 868)(607, 831, 645, 869)(608, 832, 646, 870)(609, 833, 647, 871)(610, 834, 648, 872)(611, 835, 649, 873)(612, 836, 650, 874)(613, 837, 651, 875)(614, 838, 652, 876)(615, 839, 653, 877)(616, 840, 654, 878)(617, 841, 655, 879)(618, 842, 656, 880)(620, 844, 657, 881)(621, 845, 658, 882)(622, 846, 659, 883)(623, 847, 660, 884)(625, 849, 661, 885)(627, 851, 664, 888)(629, 853, 665, 889)(631, 855, 668, 892)(662, 886, 672, 896)(663, 887, 671, 895)(666, 890, 669, 893)(667, 891, 670, 894)
	L = (1, 451)(2, 453)(3, 456)(4, 449)(5, 460)(6, 450)(7, 463)(8, 465)(9, 466)(10, 452)(11, 468)(12, 470)(13, 471)(14, 454)(15, 457)(16, 455)(17, 474)(18, 475)(19, 458)(20, 461)(21, 459)(22, 478)(23, 479)(24, 462)(25, 464)(26, 482)(27, 483)(28, 467)(29, 469)(30, 486)(31, 487)(32, 472)(33, 473)(34, 490)(35, 491)(36, 476)(37, 477)(38, 494)(39, 495)(40, 480)(41, 481)(42, 498)(43, 499)(44, 484)(45, 485)(46, 502)(47, 503)(48, 488)(49, 489)(50, 506)(51, 507)(52, 492)(53, 493)(54, 510)(55, 511)(56, 496)(57, 497)(58, 514)(59, 515)(60, 500)(61, 501)(62, 528)(63, 522)(64, 504)(65, 505)(66, 520)(67, 517)(68, 508)(69, 524)(70, 521)(71, 529)(72, 526)(73, 525)(74, 518)(75, 533)(76, 523)(77, 531)(78, 530)(79, 537)(80, 519)(81, 527)(82, 535)(83, 534)(84, 541)(85, 532)(86, 539)(87, 538)(88, 545)(89, 536)(90, 543)(91, 542)(92, 549)(93, 540)(94, 547)(95, 546)(96, 581)(97, 544)(98, 551)(99, 550)(100, 586)(101, 548)(102, 589)(103, 591)(104, 513)(105, 509)(106, 593)(107, 512)(108, 516)(109, 555)(110, 552)(111, 556)(112, 564)(113, 557)(114, 558)(115, 559)(116, 553)(117, 560)(118, 561)(119, 562)(120, 563)(121, 565)(122, 566)(123, 567)(124, 568)(125, 569)(126, 570)(127, 571)(128, 572)(129, 573)(130, 574)(131, 575)(132, 576)(133, 554)(134, 577)(135, 578)(136, 579)(137, 580)(138, 594)(139, 582)(140, 583)(141, 595)(142, 584)(143, 596)(144, 585)(145, 597)(146, 598)(147, 600)(148, 599)(149, 602)(150, 601)(151, 604)(152, 603)(153, 606)(154, 605)(155, 608)(156, 607)(157, 610)(158, 609)(159, 612)(160, 611)(161, 614)(162, 613)(163, 616)(164, 615)(165, 618)(166, 617)(167, 621)(168, 620)(169, 623)(170, 622)(171, 587)(172, 627)(173, 625)(174, 631)(175, 629)(176, 619)(177, 662)(178, 588)(179, 663)(180, 590)(181, 666)(182, 592)(183, 667)(184, 624)(185, 626)(186, 628)(187, 630)(188, 632)(189, 633)(190, 634)(191, 635)(192, 636)(193, 637)(194, 638)(195, 639)(196, 640)(197, 641)(198, 642)(199, 643)(200, 644)(201, 645)(202, 646)(203, 647)(204, 648)(205, 649)(206, 650)(207, 651)(208, 652)(209, 653)(210, 654)(211, 655)(212, 656)(213, 657)(214, 669)(215, 670)(216, 658)(217, 659)(218, 671)(219, 672)(220, 660)(221, 668)(222, 665)(223, 661)(224, 664)(225, 673)(226, 674)(227, 675)(228, 676)(229, 677)(230, 678)(231, 679)(232, 680)(233, 681)(234, 682)(235, 683)(236, 684)(237, 685)(238, 686)(239, 687)(240, 688)(241, 689)(242, 690)(243, 691)(244, 692)(245, 693)(246, 694)(247, 695)(248, 696)(249, 697)(250, 698)(251, 699)(252, 700)(253, 701)(254, 702)(255, 703)(256, 704)(257, 705)(258, 706)(259, 707)(260, 708)(261, 709)(262, 710)(263, 711)(264, 712)(265, 713)(266, 714)(267, 715)(268, 716)(269, 717)(270, 718)(271, 719)(272, 720)(273, 721)(274, 722)(275, 723)(276, 724)(277, 725)(278, 726)(279, 727)(280, 728)(281, 729)(282, 730)(283, 731)(284, 732)(285, 733)(286, 734)(287, 735)(288, 736)(289, 737)(290, 738)(291, 739)(292, 740)(293, 741)(294, 742)(295, 743)(296, 744)(297, 745)(298, 746)(299, 747)(300, 748)(301, 749)(302, 750)(303, 751)(304, 752)(305, 753)(306, 754)(307, 755)(308, 756)(309, 757)(310, 758)(311, 759)(312, 760)(313, 761)(314, 762)(315, 763)(316, 764)(317, 765)(318, 766)(319, 767)(320, 768)(321, 769)(322, 770)(323, 771)(324, 772)(325, 773)(326, 774)(327, 775)(328, 776)(329, 777)(330, 778)(331, 779)(332, 780)(333, 781)(334, 782)(335, 783)(336, 784)(337, 785)(338, 786)(339, 787)(340, 788)(341, 789)(342, 790)(343, 791)(344, 792)(345, 793)(346, 794)(347, 795)(348, 796)(349, 797)(350, 798)(351, 799)(352, 800)(353, 801)(354, 802)(355, 803)(356, 804)(357, 805)(358, 806)(359, 807)(360, 808)(361, 809)(362, 810)(363, 811)(364, 812)(365, 813)(366, 814)(367, 815)(368, 816)(369, 817)(370, 818)(371, 819)(372, 820)(373, 821)(374, 822)(375, 823)(376, 824)(377, 825)(378, 826)(379, 827)(380, 828)(381, 829)(382, 830)(383, 831)(384, 832)(385, 833)(386, 834)(387, 835)(388, 836)(389, 837)(390, 838)(391, 839)(392, 840)(393, 841)(394, 842)(395, 843)(396, 844)(397, 845)(398, 846)(399, 847)(400, 848)(401, 849)(402, 850)(403, 851)(404, 852)(405, 853)(406, 854)(407, 855)(408, 856)(409, 857)(410, 858)(411, 859)(412, 860)(413, 861)(414, 862)(415, 863)(416, 864)(417, 865)(418, 866)(419, 867)(420, 868)(421, 869)(422, 870)(423, 871)(424, 872)(425, 873)(426, 874)(427, 875)(428, 876)(429, 877)(430, 878)(431, 879)(432, 880)(433, 881)(434, 882)(435, 883)(436, 884)(437, 885)(438, 886)(439, 887)(440, 888)(441, 889)(442, 890)(443, 891)(444, 892)(445, 893)(446, 894)(447, 895)(448, 896)
	local type(s) :: { ( 8, 224 ), ( 8, 224, 8, 224 ) }
Outer automorphisms :: reflexible
Dual of E28.3153
Graph:: simple bipartite
	v = 336 e = 448 f = 58
	degree seq :: [ 2^224, 4^112 ]

E28.3155 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 112})
Quotient :: dipole
Aut^+ = C112 : C2 (small group id <224, 6>)
Aut   = $<448, 442>$ (small group id <448, 442>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (Y3 * Y1^-2)^2, (Y3 * Y1)^4, Y3 * Y1^-1 * Y3 * Y1^55, Y1^-2 * Y3 * Y1^27 * Y3 * Y1^-27 ]
Map::
	R = (1, 225, 2, 226, 5, 229, 11, 235, 20, 244, 29, 253, 37, 261, 45, 269, 53, 277, 61, 285, 71, 295, 73, 297, 77, 301, 84, 308, 89, 313, 93, 317, 97, 321, 101, 325, 106, 330, 147, 371, 155, 379, 157, 381, 160, 384, 165, 389, 169, 393, 173, 397, 177, 401, 182, 406, 188, 412, 224, 448, 223, 447, 219, 443, 215, 439, 211, 435, 207, 431, 203, 427, 192, 416, 185, 409, 180, 404, 151, 375, 144, 368, 139, 363, 135, 359, 131, 355, 127, 351, 121, 345, 126, 350, 122, 346, 109, 333, 66, 290, 58, 282, 50, 274, 42, 266, 34, 258, 26, 250, 16, 240, 23, 247, 17, 241, 24, 248, 32, 256, 40, 264, 48, 272, 56, 280, 64, 288, 82, 306, 74, 298, 78, 302, 75, 299, 79, 303, 85, 309, 90, 314, 94, 318, 98, 322, 102, 326, 107, 331, 149, 373, 161, 385, 158, 382, 162, 386, 166, 390, 170, 394, 174, 398, 178, 402, 183, 407, 190, 414, 221, 445, 216, 440, 212, 436, 208, 432, 204, 428, 199, 423, 196, 420, 194, 418, 153, 377, 146, 370, 141, 365, 136, 360, 132, 356, 128, 352, 123, 347, 117, 341, 113, 337, 111, 335, 68, 292, 60, 284, 52, 276, 44, 268, 36, 260, 28, 252, 19, 243, 10, 234, 4, 228)(3, 227, 7, 231, 15, 239, 25, 249, 33, 257, 41, 265, 49, 273, 57, 281, 65, 289, 81, 305, 69, 293, 80, 304, 76, 300, 91, 315, 88, 312, 99, 323, 96, 320, 108, 332, 104, 328, 145, 369, 154, 378, 163, 387, 159, 383, 171, 395, 168, 392, 179, 403, 176, 400, 191, 415, 186, 410, 222, 446, 218, 442, 213, 437, 210, 434, 205, 429, 202, 426, 197, 421, 201, 425, 187, 411, 150, 374, 142, 366, 138, 362, 133, 357, 130, 354, 124, 348, 120, 344, 114, 338, 119, 343, 105, 329, 63, 287, 54, 278, 47, 271, 38, 262, 31, 255, 21, 245, 14, 238, 6, 230, 13, 237, 9, 233, 18, 242, 27, 251, 35, 259, 43, 267, 51, 275, 59, 283, 67, 291, 70, 294, 86, 310, 72, 296, 87, 311, 83, 307, 95, 319, 92, 316, 103, 327, 100, 324, 140, 364, 110, 334, 152, 376, 156, 380, 167, 391, 164, 388, 175, 399, 172, 396, 184, 408, 181, 405, 220, 444, 193, 417, 217, 441, 214, 438, 209, 433, 206, 430, 200, 424, 198, 422, 195, 419, 189, 413, 148, 372, 143, 367, 137, 361, 134, 358, 129, 353, 125, 349, 118, 342, 116, 340, 112, 336, 115, 339, 62, 286, 55, 279, 46, 270, 39, 263, 30, 254, 22, 246, 12, 236, 8, 232)(449, 673)(450, 674)(451, 675)(452, 676)(453, 677)(454, 678)(455, 679)(456, 680)(457, 681)(458, 682)(459, 683)(460, 684)(461, 685)(462, 686)(463, 687)(464, 688)(465, 689)(466, 690)(467, 691)(468, 692)(469, 693)(470, 694)(471, 695)(472, 696)(473, 697)(474, 698)(475, 699)(476, 700)(477, 701)(478, 702)(479, 703)(480, 704)(481, 705)(482, 706)(483, 707)(484, 708)(485, 709)(486, 710)(487, 711)(488, 712)(489, 713)(490, 714)(491, 715)(492, 716)(493, 717)(494, 718)(495, 719)(496, 720)(497, 721)(498, 722)(499, 723)(500, 724)(501, 725)(502, 726)(503, 727)(504, 728)(505, 729)(506, 730)(507, 731)(508, 732)(509, 733)(510, 734)(511, 735)(512, 736)(513, 737)(514, 738)(515, 739)(516, 740)(517, 741)(518, 742)(519, 743)(520, 744)(521, 745)(522, 746)(523, 747)(524, 748)(525, 749)(526, 750)(527, 751)(528, 752)(529, 753)(530, 754)(531, 755)(532, 756)(533, 757)(534, 758)(535, 759)(536, 760)(537, 761)(538, 762)(539, 763)(540, 764)(541, 765)(542, 766)(543, 767)(544, 768)(545, 769)(546, 770)(547, 771)(548, 772)(549, 773)(550, 774)(551, 775)(552, 776)(553, 777)(554, 778)(555, 779)(556, 780)(557, 781)(558, 782)(559, 783)(560, 784)(561, 785)(562, 786)(563, 787)(564, 788)(565, 789)(566, 790)(567, 791)(568, 792)(569, 793)(570, 794)(571, 795)(572, 796)(573, 797)(574, 798)(575, 799)(576, 800)(577, 801)(578, 802)(579, 803)(580, 804)(581, 805)(582, 806)(583, 807)(584, 808)(585, 809)(586, 810)(587, 811)(588, 812)(589, 813)(590, 814)(591, 815)(592, 816)(593, 817)(594, 818)(595, 819)(596, 820)(597, 821)(598, 822)(599, 823)(600, 824)(601, 825)(602, 826)(603, 827)(604, 828)(605, 829)(606, 830)(607, 831)(608, 832)(609, 833)(610, 834)(611, 835)(612, 836)(613, 837)(614, 838)(615, 839)(616, 840)(617, 841)(618, 842)(619, 843)(620, 844)(621, 845)(622, 846)(623, 847)(624, 848)(625, 849)(626, 850)(627, 851)(628, 852)(629, 853)(630, 854)(631, 855)(632, 856)(633, 857)(634, 858)(635, 859)(636, 860)(637, 861)(638, 862)(639, 863)(640, 864)(641, 865)(642, 866)(643, 867)(644, 868)(645, 869)(646, 870)(647, 871)(648, 872)(649, 873)(650, 874)(651, 875)(652, 876)(653, 877)(654, 878)(655, 879)(656, 880)(657, 881)(658, 882)(659, 883)(660, 884)(661, 885)(662, 886)(663, 887)(664, 888)(665, 889)(666, 890)(667, 891)(668, 892)(669, 893)(670, 894)(671, 895)(672, 896)
	L = (1, 451)(2, 454)(3, 449)(4, 457)(5, 460)(6, 450)(7, 464)(8, 465)(9, 452)(10, 463)(11, 469)(12, 453)(13, 471)(14, 472)(15, 458)(16, 455)(17, 456)(18, 474)(19, 475)(20, 478)(21, 459)(22, 480)(23, 461)(24, 462)(25, 482)(26, 466)(27, 467)(28, 481)(29, 486)(30, 468)(31, 488)(32, 470)(33, 476)(34, 473)(35, 490)(36, 491)(37, 494)(38, 477)(39, 496)(40, 479)(41, 498)(42, 483)(43, 484)(44, 497)(45, 502)(46, 485)(47, 504)(48, 487)(49, 492)(50, 489)(51, 506)(52, 507)(53, 510)(54, 493)(55, 512)(56, 495)(57, 514)(58, 499)(59, 500)(60, 513)(61, 553)(62, 501)(63, 530)(64, 503)(65, 508)(66, 505)(67, 557)(68, 518)(69, 559)(70, 516)(71, 560)(72, 561)(73, 562)(74, 563)(75, 564)(76, 565)(77, 566)(78, 567)(79, 568)(80, 569)(81, 570)(82, 511)(83, 571)(84, 572)(85, 573)(86, 574)(87, 575)(88, 576)(89, 577)(90, 578)(91, 579)(92, 580)(93, 581)(94, 582)(95, 583)(96, 584)(97, 585)(98, 586)(99, 587)(100, 589)(101, 590)(102, 591)(103, 592)(104, 594)(105, 509)(106, 596)(107, 598)(108, 599)(109, 515)(110, 601)(111, 517)(112, 519)(113, 520)(114, 521)(115, 522)(116, 523)(117, 524)(118, 525)(119, 526)(120, 527)(121, 528)(122, 529)(123, 531)(124, 532)(125, 533)(126, 534)(127, 535)(128, 536)(129, 537)(130, 538)(131, 539)(132, 540)(133, 541)(134, 542)(135, 543)(136, 544)(137, 545)(138, 546)(139, 547)(140, 628)(141, 548)(142, 549)(143, 550)(144, 551)(145, 633)(146, 552)(147, 635)(148, 554)(149, 637)(150, 555)(151, 556)(152, 640)(153, 558)(154, 642)(155, 643)(156, 644)(157, 645)(158, 646)(159, 647)(160, 648)(161, 649)(162, 650)(163, 651)(164, 652)(165, 653)(166, 654)(167, 655)(168, 656)(169, 657)(170, 658)(171, 659)(172, 660)(173, 661)(174, 662)(175, 663)(176, 664)(177, 665)(178, 666)(179, 667)(180, 588)(181, 669)(182, 670)(183, 641)(184, 671)(185, 593)(186, 638)(187, 595)(188, 668)(189, 597)(190, 634)(191, 672)(192, 600)(193, 631)(194, 602)(195, 603)(196, 604)(197, 605)(198, 606)(199, 607)(200, 608)(201, 609)(202, 610)(203, 611)(204, 612)(205, 613)(206, 614)(207, 615)(208, 616)(209, 617)(210, 618)(211, 619)(212, 620)(213, 621)(214, 622)(215, 623)(216, 624)(217, 625)(218, 626)(219, 627)(220, 636)(221, 629)(222, 630)(223, 632)(224, 639)(225, 673)(226, 674)(227, 675)(228, 676)(229, 677)(230, 678)(231, 679)(232, 680)(233, 681)(234, 682)(235, 683)(236, 684)(237, 685)(238, 686)(239, 687)(240, 688)(241, 689)(242, 690)(243, 691)(244, 692)(245, 693)(246, 694)(247, 695)(248, 696)(249, 697)(250, 698)(251, 699)(252, 700)(253, 701)(254, 702)(255, 703)(256, 704)(257, 705)(258, 706)(259, 707)(260, 708)(261, 709)(262, 710)(263, 711)(264, 712)(265, 713)(266, 714)(267, 715)(268, 716)(269, 717)(270, 718)(271, 719)(272, 720)(273, 721)(274, 722)(275, 723)(276, 724)(277, 725)(278, 726)(279, 727)(280, 728)(281, 729)(282, 730)(283, 731)(284, 732)(285, 733)(286, 734)(287, 735)(288, 736)(289, 737)(290, 738)(291, 739)(292, 740)(293, 741)(294, 742)(295, 743)(296, 744)(297, 745)(298, 746)(299, 747)(300, 748)(301, 749)(302, 750)(303, 751)(304, 752)(305, 753)(306, 754)(307, 755)(308, 756)(309, 757)(310, 758)(311, 759)(312, 760)(313, 761)(314, 762)(315, 763)(316, 764)(317, 765)(318, 766)(319, 767)(320, 768)(321, 769)(322, 770)(323, 771)(324, 772)(325, 773)(326, 774)(327, 775)(328, 776)(329, 777)(330, 778)(331, 779)(332, 780)(333, 781)(334, 782)(335, 783)(336, 784)(337, 785)(338, 786)(339, 787)(340, 788)(341, 789)(342, 790)(343, 791)(344, 792)(345, 793)(346, 794)(347, 795)(348, 796)(349, 797)(350, 798)(351, 799)(352, 800)(353, 801)(354, 802)(355, 803)(356, 804)(357, 805)(358, 806)(359, 807)(360, 808)(361, 809)(362, 810)(363, 811)(364, 812)(365, 813)(366, 814)(367, 815)(368, 816)(369, 817)(370, 818)(371, 819)(372, 820)(373, 821)(374, 822)(375, 823)(376, 824)(377, 825)(378, 826)(379, 827)(380, 828)(381, 829)(382, 830)(383, 831)(384, 832)(385, 833)(386, 834)(387, 835)(388, 836)(389, 837)(390, 838)(391, 839)(392, 840)(393, 841)(394, 842)(395, 843)(396, 844)(397, 845)(398, 846)(399, 847)(400, 848)(401, 849)(402, 850)(403, 851)(404, 852)(405, 853)(406, 854)(407, 855)(408, 856)(409, 857)(410, 858)(411, 859)(412, 860)(413, 861)(414, 862)(415, 863)(416, 864)(417, 865)(418, 866)(419, 867)(420, 868)(421, 869)(422, 870)(423, 871)(424, 872)(425, 873)(426, 874)(427, 875)(428, 876)(429, 877)(430, 878)(431, 879)(432, 880)(433, 881)(434, 882)(435, 883)(436, 884)(437, 885)(438, 886)(439, 887)(440, 888)(441, 889)(442, 890)(443, 891)(444, 892)(445, 893)(446, 894)(447, 895)(448, 896)
	local type(s) :: { ( 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.3152
Graph:: simple bipartite
	v = 226 e = 448 f = 168
	degree seq :: [ 2^224, 224^2 ]

E28.3156 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 112})
Quotient :: dipole
Aut^+ = C112 : C2 (small group id <224, 6>)
Aut   = $<448, 442>$ (small group id <448, 442>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2^2 * Y1)^2, (Y3 * Y2^-1)^4, Y2^3 * Y1 * Y2^-53 * Y1 ]
Map::
	R = (1, 225, 2, 226)(3, 227, 7, 231)(4, 228, 9, 233)(5, 229, 11, 235)(6, 230, 13, 237)(8, 232, 14, 238)(10, 234, 12, 236)(15, 239, 20, 244)(16, 240, 23, 247)(17, 241, 25, 249)(18, 242, 21, 245)(19, 243, 27, 251)(22, 246, 29, 253)(24, 248, 31, 255)(26, 250, 32, 256)(28, 252, 30, 254)(33, 257, 39, 263)(34, 258, 41, 265)(35, 259, 37, 261)(36, 260, 43, 267)(38, 262, 45, 269)(40, 264, 47, 271)(42, 266, 48, 272)(44, 268, 46, 270)(49, 273, 55, 279)(50, 274, 57, 281)(51, 275, 53, 277)(52, 276, 59, 283)(54, 278, 61, 285)(56, 280, 63, 287)(58, 282, 64, 288)(60, 284, 62, 286)(65, 289, 69, 293)(66, 290, 99, 323)(67, 291, 101, 325)(68, 292, 71, 295)(70, 294, 104, 328)(72, 296, 107, 331)(73, 297, 109, 333)(74, 298, 111, 335)(75, 299, 113, 337)(76, 300, 115, 339)(77, 301, 117, 341)(78, 302, 119, 343)(79, 303, 121, 345)(80, 304, 123, 347)(81, 305, 125, 349)(82, 306, 127, 351)(83, 307, 129, 353)(84, 308, 131, 355)(85, 309, 133, 357)(86, 310, 135, 359)(87, 311, 137, 361)(88, 312, 139, 363)(89, 313, 141, 365)(90, 314, 143, 367)(91, 315, 145, 369)(92, 316, 147, 371)(93, 317, 149, 373)(94, 318, 151, 375)(95, 319, 153, 377)(96, 320, 155, 379)(97, 321, 157, 381)(98, 322, 159, 383)(100, 324, 161, 385)(102, 326, 163, 387)(103, 327, 165, 389)(105, 329, 167, 391)(106, 330, 169, 393)(108, 332, 171, 395)(110, 334, 173, 397)(112, 336, 175, 399)(114, 338, 177, 401)(116, 340, 179, 403)(118, 342, 181, 405)(120, 344, 183, 407)(122, 346, 185, 409)(124, 348, 187, 411)(126, 350, 189, 413)(128, 352, 191, 415)(130, 354, 193, 417)(132, 356, 195, 419)(134, 358, 197, 421)(136, 360, 199, 423)(138, 362, 201, 425)(140, 364, 203, 427)(142, 366, 205, 429)(144, 368, 207, 431)(146, 370, 209, 433)(148, 372, 211, 435)(150, 374, 213, 437)(152, 376, 215, 439)(154, 378, 217, 441)(156, 380, 219, 443)(158, 382, 218, 442)(160, 384, 221, 445)(162, 386, 220, 444)(164, 388, 223, 447)(166, 390, 224, 448)(168, 392, 214, 438)(170, 394, 210, 434)(172, 396, 212, 436)(174, 398, 222, 446)(176, 400, 216, 440)(178, 402, 198, 422)(180, 404, 202, 426)(182, 406, 194, 418)(184, 408, 206, 430)(186, 410, 196, 420)(188, 412, 208, 432)(190, 414, 200, 424)(192, 416, 204, 428)(449, 673, 451, 675, 456, 680, 465, 689, 474, 698, 482, 706, 490, 714, 498, 722, 506, 730, 514, 738, 526, 750, 530, 754, 534, 758, 538, 762, 542, 766, 546, 770, 551, 775, 553, 777, 556, 780, 562, 786, 570, 794, 578, 802, 586, 810, 594, 818, 602, 826, 610, 834, 632, 856, 640, 864, 648, 872, 656, 880, 664, 888, 670, 894, 671, 895, 661, 885, 659, 883, 645, 869, 643, 867, 629, 853, 627, 851, 617, 841, 605, 829, 603, 827, 589, 813, 587, 811, 573, 797, 571, 795, 559, 783, 557, 781, 549, 773, 509, 733, 501, 725, 493, 717, 485, 709, 477, 701, 469, 693, 459, 683, 468, 692, 461, 685, 471, 695, 479, 703, 487, 711, 495, 719, 503, 727, 511, 735, 517, 741, 518, 742, 520, 744, 523, 747, 527, 751, 531, 755, 535, 759, 539, 763, 543, 767, 548, 772, 568, 792, 576, 800, 584, 808, 592, 816, 600, 824, 608, 832, 614, 838, 616, 840, 620, 844, 626, 850, 634, 858, 642, 866, 650, 874, 658, 882, 666, 890, 667, 891, 653, 877, 651, 875, 637, 861, 635, 859, 623, 847, 621, 845, 611, 835, 597, 821, 595, 819, 581, 805, 579, 803, 565, 789, 563, 787, 516, 740, 508, 732, 500, 724, 492, 716, 484, 708, 476, 700, 467, 691, 458, 682, 452, 676)(450, 674, 453, 677, 460, 684, 470, 694, 478, 702, 486, 710, 494, 718, 502, 726, 510, 734, 521, 745, 524, 748, 528, 752, 532, 756, 536, 760, 540, 764, 544, 768, 550, 774, 554, 778, 560, 784, 566, 790, 574, 798, 582, 806, 590, 814, 598, 822, 606, 830, 622, 846, 628, 852, 636, 860, 644, 868, 652, 876, 660, 884, 668, 892, 672, 896, 657, 881, 663, 887, 641, 865, 647, 871, 625, 849, 631, 855, 615, 839, 601, 825, 607, 831, 585, 809, 591, 815, 569, 793, 575, 799, 555, 779, 547, 771, 513, 737, 505, 729, 497, 721, 489, 713, 481, 705, 473, 697, 464, 688, 455, 679, 463, 687, 457, 681, 466, 690, 475, 699, 483, 707, 491, 715, 499, 723, 507, 731, 515, 739, 519, 743, 522, 746, 525, 749, 529, 753, 533, 757, 537, 761, 541, 765, 545, 769, 558, 782, 564, 788, 572, 796, 580, 804, 588, 812, 596, 820, 604, 828, 612, 836, 618, 842, 624, 848, 630, 854, 638, 862, 646, 870, 654, 878, 662, 886, 665, 889, 669, 893, 649, 873, 655, 879, 633, 857, 639, 863, 619, 843, 609, 833, 613, 837, 593, 817, 599, 823, 577, 801, 583, 807, 561, 785, 567, 791, 552, 776, 512, 736, 504, 728, 496, 720, 488, 712, 480, 704, 472, 696, 462, 686, 454, 678)
	L = (1, 450)(2, 449)(3, 455)(4, 457)(5, 459)(6, 461)(7, 451)(8, 462)(9, 452)(10, 460)(11, 453)(12, 458)(13, 454)(14, 456)(15, 468)(16, 471)(17, 473)(18, 469)(19, 475)(20, 463)(21, 466)(22, 477)(23, 464)(24, 479)(25, 465)(26, 480)(27, 467)(28, 478)(29, 470)(30, 476)(31, 472)(32, 474)(33, 487)(34, 489)(35, 485)(36, 491)(37, 483)(38, 493)(39, 481)(40, 495)(41, 482)(42, 496)(43, 484)(44, 494)(45, 486)(46, 492)(47, 488)(48, 490)(49, 503)(50, 505)(51, 501)(52, 507)(53, 499)(54, 509)(55, 497)(56, 511)(57, 498)(58, 512)(59, 500)(60, 510)(61, 502)(62, 508)(63, 504)(64, 506)(65, 517)(66, 547)(67, 549)(68, 519)(69, 513)(70, 552)(71, 516)(72, 555)(73, 557)(74, 559)(75, 561)(76, 563)(77, 565)(78, 567)(79, 569)(80, 571)(81, 573)(82, 575)(83, 577)(84, 579)(85, 581)(86, 583)(87, 585)(88, 587)(89, 589)(90, 591)(91, 593)(92, 595)(93, 597)(94, 599)(95, 601)(96, 603)(97, 605)(98, 607)(99, 514)(100, 609)(101, 515)(102, 611)(103, 613)(104, 518)(105, 615)(106, 617)(107, 520)(108, 619)(109, 521)(110, 621)(111, 522)(112, 623)(113, 523)(114, 625)(115, 524)(116, 627)(117, 525)(118, 629)(119, 526)(120, 631)(121, 527)(122, 633)(123, 528)(124, 635)(125, 529)(126, 637)(127, 530)(128, 639)(129, 531)(130, 641)(131, 532)(132, 643)(133, 533)(134, 645)(135, 534)(136, 647)(137, 535)(138, 649)(139, 536)(140, 651)(141, 537)(142, 653)(143, 538)(144, 655)(145, 539)(146, 657)(147, 540)(148, 659)(149, 541)(150, 661)(151, 542)(152, 663)(153, 543)(154, 665)(155, 544)(156, 667)(157, 545)(158, 666)(159, 546)(160, 669)(161, 548)(162, 668)(163, 550)(164, 671)(165, 551)(166, 672)(167, 553)(168, 662)(169, 554)(170, 658)(171, 556)(172, 660)(173, 558)(174, 670)(175, 560)(176, 664)(177, 562)(178, 646)(179, 564)(180, 650)(181, 566)(182, 642)(183, 568)(184, 654)(185, 570)(186, 644)(187, 572)(188, 656)(189, 574)(190, 648)(191, 576)(192, 652)(193, 578)(194, 630)(195, 580)(196, 634)(197, 582)(198, 626)(199, 584)(200, 638)(201, 586)(202, 628)(203, 588)(204, 640)(205, 590)(206, 632)(207, 592)(208, 636)(209, 594)(210, 618)(211, 596)(212, 620)(213, 598)(214, 616)(215, 600)(216, 624)(217, 602)(218, 606)(219, 604)(220, 610)(221, 608)(222, 622)(223, 612)(224, 614)(225, 673)(226, 674)(227, 675)(228, 676)(229, 677)(230, 678)(231, 679)(232, 680)(233, 681)(234, 682)(235, 683)(236, 684)(237, 685)(238, 686)(239, 687)(240, 688)(241, 689)(242, 690)(243, 691)(244, 692)(245, 693)(246, 694)(247, 695)(248, 696)(249, 697)(250, 698)(251, 699)(252, 700)(253, 701)(254, 702)(255, 703)(256, 704)(257, 705)(258, 706)(259, 707)(260, 708)(261, 709)(262, 710)(263, 711)(264, 712)(265, 713)(266, 714)(267, 715)(268, 716)(269, 717)(270, 718)(271, 719)(272, 720)(273, 721)(274, 722)(275, 723)(276, 724)(277, 725)(278, 726)(279, 727)(280, 728)(281, 729)(282, 730)(283, 731)(284, 732)(285, 733)(286, 734)(287, 735)(288, 736)(289, 737)(290, 738)(291, 739)(292, 740)(293, 741)(294, 742)(295, 743)(296, 744)(297, 745)(298, 746)(299, 747)(300, 748)(301, 749)(302, 750)(303, 751)(304, 752)(305, 753)(306, 754)(307, 755)(308, 756)(309, 757)(310, 758)(311, 759)(312, 760)(313, 761)(314, 762)(315, 763)(316, 764)(317, 765)(318, 766)(319, 767)(320, 768)(321, 769)(322, 770)(323, 771)(324, 772)(325, 773)(326, 774)(327, 775)(328, 776)(329, 777)(330, 778)(331, 779)(332, 780)(333, 781)(334, 782)(335, 783)(336, 784)(337, 785)(338, 786)(339, 787)(340, 788)(341, 789)(342, 790)(343, 791)(344, 792)(345, 793)(346, 794)(347, 795)(348, 796)(349, 797)(350, 798)(351, 799)(352, 800)(353, 801)(354, 802)(355, 803)(356, 804)(357, 805)(358, 806)(359, 807)(360, 808)(361, 809)(362, 810)(363, 811)(364, 812)(365, 813)(366, 814)(367, 815)(368, 816)(369, 817)(370, 818)(371, 819)(372, 820)(373, 821)(374, 822)(375, 823)(376, 824)(377, 825)(378, 826)(379, 827)(380, 828)(381, 829)(382, 830)(383, 831)(384, 832)(385, 833)(386, 834)(387, 835)(388, 836)(389, 837)(390, 838)(391, 839)(392, 840)(393, 841)(394, 842)(395, 843)(396, 844)(397, 845)(398, 846)(399, 847)(400, 848)(401, 849)(402, 850)(403, 851)(404, 852)(405, 853)(406, 854)(407, 855)(408, 856)(409, 857)(410, 858)(411, 859)(412, 860)(413, 861)(414, 862)(415, 863)(416, 864)(417, 865)(418, 866)(419, 867)(420, 868)(421, 869)(422, 870)(423, 871)(424, 872)(425, 873)(426, 874)(427, 875)(428, 876)(429, 877)(430, 878)(431, 879)(432, 880)(433, 881)(434, 882)(435, 883)(436, 884)(437, 885)(438, 886)(439, 887)(440, 888)(441, 889)(442, 890)(443, 891)(444, 892)(445, 893)(446, 894)(447, 895)(448, 896)
	local type(s) :: { ( 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.3157
Graph:: bipartite
	v = 114 e = 448 f = 280
	degree seq :: [ 4^112, 224^2 ]

E28.3157 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 112})
Quotient :: dipole
Aut^+ = C112 : C2 (small group id <224, 6>)
Aut   = $<448, 442>$ (small group id <448, 442>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, Y1^4, (Y3 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-56 * Y1^-1, (Y3 * Y2^-1)^112 ]
Map::
	R = (1, 225, 2, 226, 6, 230, 4, 228)(3, 227, 9, 233, 13, 237, 8, 232)(5, 229, 11, 235, 14, 238, 7, 231)(10, 234, 16, 240, 21, 245, 17, 241)(12, 236, 15, 239, 22, 246, 19, 243)(18, 242, 25, 249, 29, 253, 24, 248)(20, 244, 27, 251, 30, 254, 23, 247)(26, 250, 32, 256, 37, 261, 33, 257)(28, 252, 31, 255, 38, 262, 35, 259)(34, 258, 41, 265, 45, 269, 40, 264)(36, 260, 43, 267, 46, 270, 39, 263)(42, 266, 48, 272, 53, 277, 49, 273)(44, 268, 47, 271, 54, 278, 51, 275)(50, 274, 57, 281, 61, 285, 56, 280)(52, 276, 59, 283, 62, 286, 55, 279)(58, 282, 64, 288, 69, 293, 65, 289)(60, 284, 63, 287, 98, 322, 67, 291)(66, 290, 100, 324, 70, 294, 104, 328)(68, 292, 71, 295, 106, 330, 73, 297)(72, 296, 108, 332, 77, 301, 110, 334)(74, 298, 112, 336, 76, 300, 114, 338)(75, 299, 115, 339, 81, 305, 117, 341)(78, 302, 120, 344, 80, 304, 122, 346)(79, 303, 123, 347, 85, 309, 125, 349)(82, 306, 128, 352, 84, 308, 130, 354)(83, 307, 131, 355, 89, 313, 133, 357)(86, 310, 136, 360, 88, 312, 138, 362)(87, 311, 139, 363, 93, 317, 141, 365)(90, 314, 144, 368, 92, 316, 146, 370)(91, 315, 147, 371, 97, 321, 149, 373)(94, 318, 152, 376, 96, 320, 154, 378)(95, 319, 155, 379, 103, 327, 157, 381)(99, 323, 160, 384, 102, 326, 162, 386)(101, 325, 163, 387, 105, 329, 165, 389)(107, 331, 169, 393, 111, 335, 171, 395)(109, 333, 172, 396, 119, 343, 174, 398)(113, 337, 176, 400, 118, 342, 178, 402)(116, 340, 179, 403, 127, 351, 181, 405)(121, 345, 184, 408, 126, 350, 186, 410)(124, 348, 187, 411, 135, 359, 189, 413)(129, 353, 192, 416, 134, 358, 194, 418)(132, 356, 195, 419, 143, 367, 197, 421)(137, 361, 200, 424, 142, 366, 202, 426)(140, 364, 203, 427, 151, 375, 205, 429)(145, 369, 208, 432, 150, 374, 210, 434)(148, 372, 211, 435, 159, 383, 213, 437)(153, 377, 216, 440, 158, 382, 218, 442)(156, 380, 219, 443, 167, 391, 221, 445)(161, 385, 224, 448, 166, 390, 220, 444)(164, 388, 222, 446, 168, 392, 217, 441)(170, 394, 223, 447, 175, 399, 212, 436)(173, 397, 214, 438, 183, 407, 209, 433)(177, 401, 204, 428, 182, 406, 215, 439)(180, 404, 201, 425, 191, 415, 206, 430)(185, 409, 207, 431, 190, 414, 196, 420)(188, 412, 198, 422, 199, 423, 193, 417)(449, 673)(450, 674)(451, 675)(452, 676)(453, 677)(454, 678)(455, 679)(456, 680)(457, 681)(458, 682)(459, 683)(460, 684)(461, 685)(462, 686)(463, 687)(464, 688)(465, 689)(466, 690)(467, 691)(468, 692)(469, 693)(470, 694)(471, 695)(472, 696)(473, 697)(474, 698)(475, 699)(476, 700)(477, 701)(478, 702)(479, 703)(480, 704)(481, 705)(482, 706)(483, 707)(484, 708)(485, 709)(486, 710)(487, 711)(488, 712)(489, 713)(490, 714)(491, 715)(492, 716)(493, 717)(494, 718)(495, 719)(496, 720)(497, 721)(498, 722)(499, 723)(500, 724)(501, 725)(502, 726)(503, 727)(504, 728)(505, 729)(506, 730)(507, 731)(508, 732)(509, 733)(510, 734)(511, 735)(512, 736)(513, 737)(514, 738)(515, 739)(516, 740)(517, 741)(518, 742)(519, 743)(520, 744)(521, 745)(522, 746)(523, 747)(524, 748)(525, 749)(526, 750)(527, 751)(528, 752)(529, 753)(530, 754)(531, 755)(532, 756)(533, 757)(534, 758)(535, 759)(536, 760)(537, 761)(538, 762)(539, 763)(540, 764)(541, 765)(542, 766)(543, 767)(544, 768)(545, 769)(546, 770)(547, 771)(548, 772)(549, 773)(550, 774)(551, 775)(552, 776)(553, 777)(554, 778)(555, 779)(556, 780)(557, 781)(558, 782)(559, 783)(560, 784)(561, 785)(562, 786)(563, 787)(564, 788)(565, 789)(566, 790)(567, 791)(568, 792)(569, 793)(570, 794)(571, 795)(572, 796)(573, 797)(574, 798)(575, 799)(576, 800)(577, 801)(578, 802)(579, 803)(580, 804)(581, 805)(582, 806)(583, 807)(584, 808)(585, 809)(586, 810)(587, 811)(588, 812)(589, 813)(590, 814)(591, 815)(592, 816)(593, 817)(594, 818)(595, 819)(596, 820)(597, 821)(598, 822)(599, 823)(600, 824)(601, 825)(602, 826)(603, 827)(604, 828)(605, 829)(606, 830)(607, 831)(608, 832)(609, 833)(610, 834)(611, 835)(612, 836)(613, 837)(614, 838)(615, 839)(616, 840)(617, 841)(618, 842)(619, 843)(620, 844)(621, 845)(622, 846)(623, 847)(624, 848)(625, 849)(626, 850)(627, 851)(628, 852)(629, 853)(630, 854)(631, 855)(632, 856)(633, 857)(634, 858)(635, 859)(636, 860)(637, 861)(638, 862)(639, 863)(640, 864)(641, 865)(642, 866)(643, 867)(644, 868)(645, 869)(646, 870)(647, 871)(648, 872)(649, 873)(650, 874)(651, 875)(652, 876)(653, 877)(654, 878)(655, 879)(656, 880)(657, 881)(658, 882)(659, 883)(660, 884)(661, 885)(662, 886)(663, 887)(664, 888)(665, 889)(666, 890)(667, 891)(668, 892)(669, 893)(670, 894)(671, 895)(672, 896)
	L = (1, 451)(2, 455)(3, 458)(4, 459)(5, 449)(6, 461)(7, 463)(8, 450)(9, 452)(10, 466)(11, 467)(12, 453)(13, 469)(14, 454)(15, 471)(16, 456)(17, 457)(18, 474)(19, 475)(20, 460)(21, 477)(22, 462)(23, 479)(24, 464)(25, 465)(26, 482)(27, 483)(28, 468)(29, 485)(30, 470)(31, 487)(32, 472)(33, 473)(34, 490)(35, 491)(36, 476)(37, 493)(38, 478)(39, 495)(40, 480)(41, 481)(42, 498)(43, 499)(44, 484)(45, 501)(46, 486)(47, 503)(48, 488)(49, 489)(50, 506)(51, 507)(52, 492)(53, 509)(54, 494)(55, 511)(56, 496)(57, 497)(58, 514)(59, 515)(60, 500)(61, 517)(62, 502)(63, 521)(64, 504)(65, 505)(66, 525)(67, 519)(68, 508)(69, 518)(70, 520)(71, 522)(72, 523)(73, 524)(74, 526)(75, 527)(76, 528)(77, 529)(78, 530)(79, 531)(80, 532)(81, 533)(82, 534)(83, 535)(84, 536)(85, 537)(86, 538)(87, 539)(88, 540)(89, 541)(90, 542)(91, 543)(92, 544)(93, 545)(94, 547)(95, 549)(96, 550)(97, 551)(98, 510)(99, 559)(100, 513)(101, 567)(102, 555)(103, 553)(104, 512)(105, 557)(106, 546)(107, 561)(108, 548)(109, 564)(110, 552)(111, 566)(112, 516)(113, 569)(114, 554)(115, 558)(116, 572)(117, 556)(118, 574)(119, 575)(120, 562)(121, 577)(122, 560)(123, 565)(124, 580)(125, 563)(126, 582)(127, 583)(128, 570)(129, 585)(130, 568)(131, 573)(132, 588)(133, 571)(134, 590)(135, 591)(136, 578)(137, 593)(138, 576)(139, 581)(140, 596)(141, 579)(142, 598)(143, 599)(144, 586)(145, 601)(146, 584)(147, 589)(148, 604)(149, 587)(150, 606)(151, 607)(152, 594)(153, 609)(154, 592)(155, 597)(156, 612)(157, 595)(158, 614)(159, 615)(160, 602)(161, 623)(162, 600)(163, 605)(164, 631)(165, 603)(166, 618)(167, 616)(168, 621)(169, 608)(170, 625)(171, 610)(172, 611)(173, 628)(174, 613)(175, 630)(176, 619)(177, 633)(178, 617)(179, 622)(180, 636)(181, 620)(182, 638)(183, 639)(184, 626)(185, 641)(186, 624)(187, 629)(188, 644)(189, 627)(190, 646)(191, 647)(192, 634)(193, 649)(194, 632)(195, 637)(196, 652)(197, 635)(198, 654)(199, 655)(200, 642)(201, 657)(202, 640)(203, 645)(204, 660)(205, 643)(206, 662)(207, 663)(208, 650)(209, 665)(210, 648)(211, 653)(212, 668)(213, 651)(214, 670)(215, 671)(216, 658)(217, 667)(218, 656)(219, 661)(220, 664)(221, 659)(222, 669)(223, 672)(224, 666)(225, 673)(226, 674)(227, 675)(228, 676)(229, 677)(230, 678)(231, 679)(232, 680)(233, 681)(234, 682)(235, 683)(236, 684)(237, 685)(238, 686)(239, 687)(240, 688)(241, 689)(242, 690)(243, 691)(244, 692)(245, 693)(246, 694)(247, 695)(248, 696)(249, 697)(250, 698)(251, 699)(252, 700)(253, 701)(254, 702)(255, 703)(256, 704)(257, 705)(258, 706)(259, 707)(260, 708)(261, 709)(262, 710)(263, 711)(264, 712)(265, 713)(266, 714)(267, 715)(268, 716)(269, 717)(270, 718)(271, 719)(272, 720)(273, 721)(274, 722)(275, 723)(276, 724)(277, 725)(278, 726)(279, 727)(280, 728)(281, 729)(282, 730)(283, 731)(284, 732)(285, 733)(286, 734)(287, 735)(288, 736)(289, 737)(290, 738)(291, 739)(292, 740)(293, 741)(294, 742)(295, 743)(296, 744)(297, 745)(298, 746)(299, 747)(300, 748)(301, 749)(302, 750)(303, 751)(304, 752)(305, 753)(306, 754)(307, 755)(308, 756)(309, 757)(310, 758)(311, 759)(312, 760)(313, 761)(314, 762)(315, 763)(316, 764)(317, 765)(318, 766)(319, 767)(320, 768)(321, 769)(322, 770)(323, 771)(324, 772)(325, 773)(326, 774)(327, 775)(328, 776)(329, 777)(330, 778)(331, 779)(332, 780)(333, 781)(334, 782)(335, 783)(336, 784)(337, 785)(338, 786)(339, 787)(340, 788)(341, 789)(342, 790)(343, 791)(344, 792)(345, 793)(346, 794)(347, 795)(348, 796)(349, 797)(350, 798)(351, 799)(352, 800)(353, 801)(354, 802)(355, 803)(356, 804)(357, 805)(358, 806)(359, 807)(360, 808)(361, 809)(362, 810)(363, 811)(364, 812)(365, 813)(366, 814)(367, 815)(368, 816)(369, 817)(370, 818)(371, 819)(372, 820)(373, 821)(374, 822)(375, 823)(376, 824)(377, 825)(378, 826)(379, 827)(380, 828)(381, 829)(382, 830)(383, 831)(384, 832)(385, 833)(386, 834)(387, 835)(388, 836)(389, 837)(390, 838)(391, 839)(392, 840)(393, 841)(394, 842)(395, 843)(396, 844)(397, 845)(398, 846)(399, 847)(400, 848)(401, 849)(402, 850)(403, 851)(404, 852)(405, 853)(406, 854)(407, 855)(408, 856)(409, 857)(410, 858)(411, 859)(412, 860)(413, 861)(414, 862)(415, 863)(416, 864)(417, 865)(418, 866)(419, 867)(420, 868)(421, 869)(422, 870)(423, 871)(424, 872)(425, 873)(426, 874)(427, 875)(428, 876)(429, 877)(430, 878)(431, 879)(432, 880)(433, 881)(434, 882)(435, 883)(436, 884)(437, 885)(438, 886)(439, 887)(440, 888)(441, 889)(442, 890)(443, 891)(444, 892)(445, 893)(446, 894)(447, 895)(448, 896)
	local type(s) :: { ( 4, 224 ), ( 4, 224, 4, 224, 4, 224, 4, 224 ) }
Outer automorphisms :: reflexible
Dual of E28.3156
Graph:: simple bipartite
	v = 280 e = 448 f = 114
	degree seq :: [ 2^224, 8^56 ]

E28.3158 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 58})
Quotient :: regular
Aut^+ = (C58 x C2) : C2 (small group id <232, 8>)
Aut   = D8 x D58 (small group id <464, 39>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T1 * T2)^4, T1^58 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 20, 29, 37, 45, 53, 61, 101, 109, 112, 116, 121, 125, 129, 134, 141, 177, 185, 189, 193, 197, 201, 205, 209, 215, 231, 228, 223, 218, 183, 176, 170, 166, 161, 158, 153, 150, 143, 108, 99, 96, 91, 88, 83, 79, 74, 68, 60, 52, 44, 36, 28, 19, 10, 4)(3, 7, 15, 25, 33, 41, 49, 57, 65, 105, 110, 113, 119, 123, 127, 132, 137, 145, 181, 187, 191, 195, 199, 203, 207, 211, 219, 230, 225, 222, 213, 180, 172, 168, 163, 160, 155, 152, 147, 140, 102, 130, 93, 98, 85, 90, 76, 82, 70, 81, 62, 55, 46, 39, 30, 22, 12, 8)(6, 13, 9, 18, 27, 35, 43, 51, 59, 67, 107, 111, 115, 120, 124, 128, 133, 138, 146, 182, 188, 192, 196, 200, 204, 208, 212, 220, 229, 226, 221, 214, 179, 173, 167, 164, 159, 156, 151, 148, 139, 135, 97, 104, 89, 94, 80, 86, 72, 78, 69, 63, 54, 47, 38, 31, 21, 14)(16, 23, 17, 24, 32, 40, 48, 56, 64, 103, 117, 114, 118, 122, 126, 131, 136, 142, 169, 174, 178, 186, 190, 194, 198, 202, 206, 210, 216, 232, 227, 224, 217, 184, 175, 171, 165, 162, 157, 154, 149, 144, 106, 100, 95, 92, 87, 84, 77, 75, 71, 73, 66, 58, 50, 42, 34, 26)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 21)(13, 23)(14, 24)(18, 26)(19, 27)(20, 30)(22, 32)(25, 34)(28, 33)(29, 38)(31, 40)(35, 42)(36, 43)(37, 46)(39, 48)(41, 50)(44, 49)(45, 54)(47, 56)(51, 58)(52, 59)(53, 62)(55, 64)(57, 66)(60, 65)(61, 69)(63, 103)(67, 73)(68, 107)(70, 101)(71, 105)(72, 109)(74, 110)(75, 111)(76, 112)(77, 113)(78, 114)(79, 115)(80, 116)(81, 117)(82, 118)(83, 119)(84, 120)(85, 121)(86, 122)(87, 123)(88, 124)(89, 125)(90, 126)(91, 127)(92, 128)(93, 129)(94, 131)(95, 132)(96, 133)(97, 134)(98, 136)(99, 137)(100, 138)(102, 141)(104, 142)(106, 145)(108, 146)(130, 169)(135, 174)(139, 177)(140, 178)(143, 181)(144, 182)(147, 185)(148, 186)(149, 187)(150, 188)(151, 189)(152, 190)(153, 191)(154, 192)(155, 193)(156, 194)(157, 195)(158, 196)(159, 197)(160, 198)(161, 199)(162, 200)(163, 201)(164, 202)(165, 203)(166, 204)(167, 205)(168, 206)(170, 207)(171, 208)(172, 209)(173, 210)(175, 211)(176, 212)(179, 215)(180, 216)(183, 219)(184, 220)(213, 231)(214, 232)(217, 230)(218, 229)(221, 228)(222, 227)(223, 225)(224, 226)
	local type(s) :: { ( 4^58 ) }
Outer automorphisms :: reflexible
Dual of E28.3159
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 4 e = 116 f = 58
	degree seq :: [ 58^4 ]

E28.3159 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 58})
Quotient :: regular
Aut^+ = (C58 x C2) : C2 (small group id <232, 8>)
Aut   = D8 x D58 (small group id <464, 39>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^4, (T1^-1 * T2 * T1^-1)^2, (T1 * T2)^58 ]
Map:: polytopal non-degenerate
	R = (1, 2, 7, 5)(3, 11, 20, 13)(4, 15, 6, 17)(8, 21, 18, 23)(9, 25, 10, 27)(12, 26, 14, 28)(16, 22, 19, 24)(29, 49, 33, 51)(30, 53, 31, 54)(32, 50, 34, 52)(35, 57, 36, 59)(37, 58, 38, 60)(39, 63, 43, 65)(40, 67, 41, 68)(42, 64, 44, 66)(45, 71, 46, 73)(47, 72, 48, 74)(55, 75, 56, 76)(61, 69, 62, 70)(77, 98, 81, 96)(78, 109, 79, 110)(80, 97, 82, 93)(83, 113, 84, 114)(85, 111, 86, 112)(87, 117, 88, 119)(89, 118, 90, 120)(91, 121, 92, 122)(94, 125, 95, 126)(99, 129, 100, 130)(101, 127, 102, 128)(103, 133, 104, 135)(105, 134, 106, 136)(107, 137, 108, 138)(115, 139, 116, 140)(123, 131, 124, 132)(141, 159, 142, 160)(143, 169, 144, 170)(145, 155, 146, 156)(147, 173, 148, 175)(149, 174, 150, 176)(151, 177, 152, 178)(153, 179, 154, 180)(157, 183, 158, 184)(161, 187, 162, 189)(163, 188, 164, 190)(165, 191, 166, 192)(167, 193, 168, 194)(171, 195, 172, 196)(181, 185, 182, 186)(197, 221, 198, 222)(199, 215, 200, 216)(201, 214, 202, 213)(203, 211, 204, 212)(205, 223, 206, 224)(207, 225, 208, 226)(209, 227, 210, 228)(217, 229, 218, 230)(219, 231, 220, 232)
	L = (1, 3)(2, 8)(4, 16)(5, 18)(6, 19)(7, 20)(9, 26)(10, 28)(11, 29)(12, 32)(13, 33)(14, 34)(15, 30)(17, 31)(21, 39)(22, 42)(23, 43)(24, 44)(25, 40)(27, 41)(35, 58)(36, 60)(37, 61)(38, 62)(45, 72)(46, 74)(47, 75)(48, 76)(49, 77)(50, 80)(51, 81)(52, 82)(53, 78)(54, 79)(55, 85)(56, 86)(57, 83)(59, 84)(63, 93)(64, 96)(65, 97)(66, 98)(67, 94)(68, 95)(69, 101)(70, 102)(71, 99)(73, 100)(87, 118)(88, 120)(89, 121)(90, 122)(91, 123)(92, 124)(103, 134)(104, 136)(105, 137)(106, 138)(107, 139)(108, 140)(109, 128)(110, 127)(111, 125)(112, 126)(113, 141)(114, 142)(115, 145)(116, 146)(117, 143)(119, 144)(129, 155)(130, 156)(131, 159)(132, 160)(133, 157)(135, 158)(147, 174)(148, 176)(149, 177)(150, 178)(151, 179)(152, 180)(153, 181)(154, 182)(161, 188)(162, 190)(163, 191)(164, 192)(165, 193)(166, 194)(167, 195)(168, 196)(169, 185)(170, 186)(171, 184)(172, 183)(173, 197)(175, 198)(187, 209)(189, 210)(199, 214)(200, 213)(201, 211)(202, 212)(203, 223)(204, 224)(205, 225)(206, 226)(207, 222)(208, 221)(215, 229)(216, 230)(217, 231)(218, 232)(219, 228)(220, 227)
	local type(s) :: { ( 58^4 ) }
Outer automorphisms :: reflexible
Dual of E28.3158
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 58 e = 116 f = 4
	degree seq :: [ 4^58 ]

E28.3160 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 58})
Quotient :: edge
Aut^+ = (C58 x C2) : C2 (small group id <232, 8>)
Aut   = D8 x D58 (small group id <464, 39>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1 * T2^-1)^2, (T2 * T1)^58 ]
Map:: polytopal
	R = (1, 3, 8, 4)(2, 5, 11, 6)(7, 13, 9, 14)(10, 15, 12, 16)(17, 21, 18, 22)(19, 23, 20, 24)(25, 29, 26, 30)(27, 31, 28, 32)(33, 37, 34, 38)(35, 59, 36, 60)(39, 72, 46, 73)(40, 75, 49, 76)(41, 77, 42, 78)(43, 79, 44, 80)(45, 82, 47, 71)(48, 85, 50, 74)(51, 87, 52, 88)(53, 69, 54, 70)(55, 83, 56, 81)(57, 86, 58, 84)(61, 90, 62, 89)(63, 92, 64, 91)(65, 94, 66, 93)(67, 96, 68, 95)(97, 101, 98, 102)(99, 119, 100, 120)(103, 136, 114, 137)(104, 138, 105, 139)(106, 141, 117, 142)(107, 143, 108, 144)(109, 145, 110, 146)(111, 133, 112, 134)(113, 148, 115, 135)(116, 151, 118, 140)(121, 149, 122, 147)(123, 152, 124, 150)(125, 154, 126, 153)(127, 156, 128, 155)(129, 158, 130, 157)(131, 160, 132, 159)(161, 165, 162, 166)(163, 177, 164, 178)(167, 200, 180, 201)(168, 202, 169, 203)(170, 197, 171, 198)(172, 205, 183, 206)(173, 207, 174, 208)(175, 209, 176, 210)(179, 212, 181, 199)(182, 215, 184, 204)(185, 213, 186, 211)(187, 216, 188, 214)(189, 218, 190, 217)(191, 220, 192, 219)(193, 222, 194, 221)(195, 224, 196, 223)(225, 229, 226, 230)(227, 231, 228, 232)(233, 234)(235, 239)(236, 241)(237, 242)(238, 244)(240, 243)(245, 249)(246, 250)(247, 251)(248, 252)(253, 257)(254, 258)(255, 259)(256, 260)(261, 265)(262, 266)(263, 267)(264, 268)(269, 301)(270, 302)(271, 303)(272, 306)(273, 307)(274, 308)(275, 304)(276, 305)(277, 313)(278, 314)(279, 315)(280, 316)(281, 317)(282, 318)(283, 309)(284, 310)(285, 311)(286, 312)(287, 321)(288, 322)(289, 323)(290, 324)(291, 319)(292, 320)(293, 325)(294, 326)(295, 327)(296, 328)(297, 329)(298, 330)(299, 331)(300, 332)(333, 365)(334, 366)(335, 367)(336, 368)(337, 369)(338, 372)(339, 373)(340, 374)(341, 375)(342, 376)(343, 370)(344, 371)(345, 379)(346, 380)(347, 381)(348, 382)(349, 383)(350, 384)(351, 377)(352, 378)(353, 385)(354, 386)(355, 387)(356, 388)(357, 389)(358, 390)(359, 391)(360, 392)(361, 393)(362, 394)(363, 395)(364, 396)(397, 429)(398, 430)(399, 431)(400, 432)(401, 433)(402, 434)(403, 435)(404, 436)(405, 437)(406, 438)(407, 439)(408, 440)(409, 441)(410, 442)(411, 443)(412, 444)(413, 445)(414, 446)(415, 447)(416, 448)(417, 449)(418, 450)(419, 451)(420, 452)(421, 453)(422, 454)(423, 455)(424, 456)(425, 457)(426, 458)(427, 459)(428, 460)(461, 464)(462, 463)
	L = (1, 233)(2, 234)(3, 235)(4, 236)(5, 237)(6, 238)(7, 239)(8, 240)(9, 241)(10, 242)(11, 243)(12, 244)(13, 245)(14, 246)(15, 247)(16, 248)(17, 249)(18, 250)(19, 251)(20, 252)(21, 253)(22, 254)(23, 255)(24, 256)(25, 257)(26, 258)(27, 259)(28, 260)(29, 261)(30, 262)(31, 263)(32, 264)(33, 265)(34, 266)(35, 267)(36, 268)(37, 269)(38, 270)(39, 271)(40, 272)(41, 273)(42, 274)(43, 275)(44, 276)(45, 277)(46, 278)(47, 279)(48, 280)(49, 281)(50, 282)(51, 283)(52, 284)(53, 285)(54, 286)(55, 287)(56, 288)(57, 289)(58, 290)(59, 291)(60, 292)(61, 293)(62, 294)(63, 295)(64, 296)(65, 297)(66, 298)(67, 299)(68, 300)(69, 301)(70, 302)(71, 303)(72, 304)(73, 305)(74, 306)(75, 307)(76, 308)(77, 309)(78, 310)(79, 311)(80, 312)(81, 313)(82, 314)(83, 315)(84, 316)(85, 317)(86, 318)(87, 319)(88, 320)(89, 321)(90, 322)(91, 323)(92, 324)(93, 325)(94, 326)(95, 327)(96, 328)(97, 329)(98, 330)(99, 331)(100, 332)(101, 333)(102, 334)(103, 335)(104, 336)(105, 337)(106, 338)(107, 339)(108, 340)(109, 341)(110, 342)(111, 343)(112, 344)(113, 345)(114, 346)(115, 347)(116, 348)(117, 349)(118, 350)(119, 351)(120, 352)(121, 353)(122, 354)(123, 355)(124, 356)(125, 357)(126, 358)(127, 359)(128, 360)(129, 361)(130, 362)(131, 363)(132, 364)(133, 365)(134, 366)(135, 367)(136, 368)(137, 369)(138, 370)(139, 371)(140, 372)(141, 373)(142, 374)(143, 375)(144, 376)(145, 377)(146, 378)(147, 379)(148, 380)(149, 381)(150, 382)(151, 383)(152, 384)(153, 385)(154, 386)(155, 387)(156, 388)(157, 389)(158, 390)(159, 391)(160, 392)(161, 393)(162, 394)(163, 395)(164, 396)(165, 397)(166, 398)(167, 399)(168, 400)(169, 401)(170, 402)(171, 403)(172, 404)(173, 405)(174, 406)(175, 407)(176, 408)(177, 409)(178, 410)(179, 411)(180, 412)(181, 413)(182, 414)(183, 415)(184, 416)(185, 417)(186, 418)(187, 419)(188, 420)(189, 421)(190, 422)(191, 423)(192, 424)(193, 425)(194, 426)(195, 427)(196, 428)(197, 429)(198, 430)(199, 431)(200, 432)(201, 433)(202, 434)(203, 435)(204, 436)(205, 437)(206, 438)(207, 439)(208, 440)(209, 441)(210, 442)(211, 443)(212, 444)(213, 445)(214, 446)(215, 447)(216, 448)(217, 449)(218, 450)(219, 451)(220, 452)(221, 453)(222, 454)(223, 455)(224, 456)(225, 457)(226, 458)(227, 459)(228, 460)(229, 461)(230, 462)(231, 463)(232, 464)
	local type(s) :: { ( 116, 116 ), ( 116^4 ) }
Outer automorphisms :: reflexible
Dual of E28.3164
Transitivity :: ET+
Graph:: simple bipartite
	v = 174 e = 232 f = 4
	degree seq :: [ 2^116, 4^58 ]

E28.3161 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 58})
Quotient :: edge
Aut^+ = (C58 x C2) : C2 (small group id <232, 8>)
Aut   = D8 x D58 (small group id <464, 39>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, (T2 * T1^-1)^2, T2^58 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 18, 26, 34, 42, 50, 58, 66, 74, 81, 85, 89, 93, 97, 101, 105, 134, 122, 112, 118, 131, 140, 148, 156, 164, 172, 180, 188, 202, 215, 223, 231, 232, 224, 218, 203, 196, 206, 184, 178, 168, 162, 152, 146, 136, 126, 114, 68, 60, 52, 44, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 47, 55, 63, 77, 72, 79, 84, 88, 92, 96, 100, 104, 110, 128, 115, 125, 137, 145, 153, 161, 169, 177, 185, 209, 200, 213, 222, 230, 227, 221, 210, 199, 191, 187, 181, 171, 165, 155, 149, 139, 132, 117, 113, 121, 64, 56, 48, 40, 32, 24, 16, 8)(4, 11, 19, 27, 35, 43, 51, 59, 67, 76, 70, 75, 82, 86, 90, 94, 98, 102, 107, 129, 120, 133, 142, 150, 158, 166, 174, 182, 190, 207, 195, 204, 217, 225, 229, 219, 212, 197, 193, 189, 179, 173, 163, 157, 147, 141, 130, 119, 111, 108, 65, 57, 49, 41, 33, 25, 17, 9)(6, 13, 21, 29, 37, 45, 53, 61, 80, 73, 69, 71, 78, 83, 87, 91, 95, 99, 103, 109, 123, 135, 143, 151, 159, 167, 175, 183, 214, 201, 192, 198, 211, 220, 228, 226, 216, 205, 194, 208, 186, 176, 170, 160, 154, 144, 138, 124, 116, 127, 106, 62, 54, 46, 38, 30, 22, 14)(233, 234, 238, 236)(235, 241, 245, 240)(237, 243, 246, 239)(242, 248, 253, 249)(244, 247, 254, 251)(250, 257, 261, 256)(252, 259, 262, 255)(258, 264, 269, 265)(260, 263, 270, 267)(266, 273, 277, 272)(268, 275, 278, 271)(274, 280, 285, 281)(276, 279, 286, 283)(282, 289, 293, 288)(284, 291, 294, 287)(290, 296, 312, 297)(292, 295, 338, 299)(298, 340, 305, 353)(300, 308, 359, 309)(301, 343, 306, 345)(302, 346, 304, 348)(303, 349, 313, 351)(307, 356, 311, 358)(310, 362, 317, 364)(314, 368, 316, 370)(315, 371, 321, 373)(318, 376, 320, 378)(319, 379, 325, 381)(322, 384, 324, 386)(323, 387, 329, 389)(326, 392, 328, 394)(327, 395, 333, 397)(330, 400, 332, 402)(331, 403, 337, 405)(334, 408, 336, 410)(335, 411, 366, 413)(339, 416, 342, 418)(341, 419, 354, 421)(344, 423, 355, 425)(347, 426, 352, 428)(350, 429, 367, 431)(357, 435, 365, 437)(360, 438, 361, 440)(363, 442, 375, 444)(369, 448, 374, 450)(372, 451, 383, 453)(377, 456, 382, 458)(380, 459, 391, 461)(385, 460, 390, 464)(388, 457, 399, 462)(393, 463, 398, 452)(396, 454, 407, 449)(401, 443, 406, 455)(404, 436, 415, 445)(409, 447, 414, 430)(412, 432, 446, 427)(417, 424, 422, 434)(420, 439, 433, 441)
	L = (1, 233)(2, 234)(3, 235)(4, 236)(5, 237)(6, 238)(7, 239)(8, 240)(9, 241)(10, 242)(11, 243)(12, 244)(13, 245)(14, 246)(15, 247)(16, 248)(17, 249)(18, 250)(19, 251)(20, 252)(21, 253)(22, 254)(23, 255)(24, 256)(25, 257)(26, 258)(27, 259)(28, 260)(29, 261)(30, 262)(31, 263)(32, 264)(33, 265)(34, 266)(35, 267)(36, 268)(37, 269)(38, 270)(39, 271)(40, 272)(41, 273)(42, 274)(43, 275)(44, 276)(45, 277)(46, 278)(47, 279)(48, 280)(49, 281)(50, 282)(51, 283)(52, 284)(53, 285)(54, 286)(55, 287)(56, 288)(57, 289)(58, 290)(59, 291)(60, 292)(61, 293)(62, 294)(63, 295)(64, 296)(65, 297)(66, 298)(67, 299)(68, 300)(69, 301)(70, 302)(71, 303)(72, 304)(73, 305)(74, 306)(75, 307)(76, 308)(77, 309)(78, 310)(79, 311)(80, 312)(81, 313)(82, 314)(83, 315)(84, 316)(85, 317)(86, 318)(87, 319)(88, 320)(89, 321)(90, 322)(91, 323)(92, 324)(93, 325)(94, 326)(95, 327)(96, 328)(97, 329)(98, 330)(99, 331)(100, 332)(101, 333)(102, 334)(103, 335)(104, 336)(105, 337)(106, 338)(107, 339)(108, 340)(109, 341)(110, 342)(111, 343)(112, 344)(113, 345)(114, 346)(115, 347)(116, 348)(117, 349)(118, 350)(119, 351)(120, 352)(121, 353)(122, 354)(123, 355)(124, 356)(125, 357)(126, 358)(127, 359)(128, 360)(129, 361)(130, 362)(131, 363)(132, 364)(133, 365)(134, 366)(135, 367)(136, 368)(137, 369)(138, 370)(139, 371)(140, 372)(141, 373)(142, 374)(143, 375)(144, 376)(145, 377)(146, 378)(147, 379)(148, 380)(149, 381)(150, 382)(151, 383)(152, 384)(153, 385)(154, 386)(155, 387)(156, 388)(157, 389)(158, 390)(159, 391)(160, 392)(161, 393)(162, 394)(163, 395)(164, 396)(165, 397)(166, 398)(167, 399)(168, 400)(169, 401)(170, 402)(171, 403)(172, 404)(173, 405)(174, 406)(175, 407)(176, 408)(177, 409)(178, 410)(179, 411)(180, 412)(181, 413)(182, 414)(183, 415)(184, 416)(185, 417)(186, 418)(187, 419)(188, 420)(189, 421)(190, 422)(191, 423)(192, 424)(193, 425)(194, 426)(195, 427)(196, 428)(197, 429)(198, 430)(199, 431)(200, 432)(201, 433)(202, 434)(203, 435)(204, 436)(205, 437)(206, 438)(207, 439)(208, 440)(209, 441)(210, 442)(211, 443)(212, 444)(213, 445)(214, 446)(215, 447)(216, 448)(217, 449)(218, 450)(219, 451)(220, 452)(221, 453)(222, 454)(223, 455)(224, 456)(225, 457)(226, 458)(227, 459)(228, 460)(229, 461)(230, 462)(231, 463)(232, 464)
	local type(s) :: { ( 4^4 ), ( 4^58 ) }
Outer automorphisms :: reflexible
Dual of E28.3165
Transitivity :: ET+
Graph:: simple bipartite
	v = 62 e = 232 f = 116
	degree seq :: [ 4^58, 58^4 ]

E28.3162 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 58})
Quotient :: edge
Aut^+ = (C58 x C2) : C2 (small group id <232, 8>)
Aut   = D8 x D58 (small group id <464, 39>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T2 * T1)^4, T1^58 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 21)(13, 23)(14, 24)(18, 26)(19, 27)(20, 30)(22, 32)(25, 34)(28, 33)(29, 38)(31, 40)(35, 42)(36, 43)(37, 46)(39, 48)(41, 50)(44, 49)(45, 54)(47, 56)(51, 58)(52, 59)(53, 62)(55, 64)(57, 66)(60, 65)(61, 101)(63, 74)(67, 105)(68, 69)(70, 107)(71, 108)(72, 109)(73, 110)(75, 111)(76, 112)(77, 113)(78, 114)(79, 115)(80, 116)(81, 117)(82, 118)(83, 119)(84, 120)(85, 121)(86, 122)(87, 123)(88, 124)(89, 125)(90, 126)(91, 127)(92, 128)(93, 129)(94, 130)(95, 131)(96, 133)(97, 134)(98, 135)(99, 136)(100, 138)(102, 141)(103, 142)(104, 143)(106, 145)(132, 169)(137, 174)(139, 177)(140, 178)(144, 181)(146, 183)(147, 185)(148, 186)(149, 187)(150, 188)(151, 189)(152, 190)(153, 191)(154, 192)(155, 193)(156, 194)(157, 195)(158, 196)(159, 197)(160, 198)(161, 199)(162, 200)(163, 201)(164, 202)(165, 203)(166, 204)(167, 205)(168, 206)(170, 207)(171, 208)(172, 209)(173, 210)(175, 211)(176, 212)(179, 215)(180, 216)(182, 219)(184, 220)(213, 231)(214, 232)(217, 229)(218, 230)(221, 228)(222, 227)(223, 226)(224, 225)(233, 234, 237, 243, 252, 261, 269, 277, 285, 293, 305, 309, 313, 318, 322, 326, 330, 335, 372, 379, 383, 387, 391, 395, 399, 404, 411, 445, 454, 458, 462, 451, 443, 439, 435, 431, 427, 423, 419, 415, 377, 370, 365, 360, 356, 352, 347, 343, 340, 300, 292, 284, 276, 268, 260, 251, 242, 236)(235, 239, 247, 257, 265, 273, 281, 289, 297, 314, 303, 315, 311, 323, 320, 331, 328, 364, 338, 376, 381, 386, 389, 394, 397, 403, 407, 416, 450, 456, 459, 464, 447, 442, 437, 434, 429, 426, 421, 418, 410, 373, 367, 361, 358, 353, 349, 344, 342, 339, 294, 287, 278, 271, 262, 254, 244, 240)(238, 245, 241, 250, 259, 267, 275, 283, 291, 299, 301, 310, 307, 319, 316, 327, 324, 336, 332, 369, 378, 382, 385, 390, 393, 398, 402, 408, 414, 449, 455, 460, 463, 448, 441, 438, 433, 430, 425, 422, 417, 409, 374, 366, 362, 357, 354, 348, 345, 341, 333, 295, 286, 279, 270, 263, 253, 246)(248, 255, 249, 256, 264, 272, 280, 288, 296, 306, 302, 304, 308, 312, 317, 321, 325, 329, 334, 371, 380, 384, 388, 392, 396, 400, 405, 412, 446, 453, 457, 461, 452, 444, 440, 436, 432, 428, 424, 420, 413, 406, 401, 375, 368, 363, 359, 355, 351, 346, 350, 337, 298, 290, 282, 274, 266, 258)
	L = (1, 233)(2, 234)(3, 235)(4, 236)(5, 237)(6, 238)(7, 239)(8, 240)(9, 241)(10, 242)(11, 243)(12, 244)(13, 245)(14, 246)(15, 247)(16, 248)(17, 249)(18, 250)(19, 251)(20, 252)(21, 253)(22, 254)(23, 255)(24, 256)(25, 257)(26, 258)(27, 259)(28, 260)(29, 261)(30, 262)(31, 263)(32, 264)(33, 265)(34, 266)(35, 267)(36, 268)(37, 269)(38, 270)(39, 271)(40, 272)(41, 273)(42, 274)(43, 275)(44, 276)(45, 277)(46, 278)(47, 279)(48, 280)(49, 281)(50, 282)(51, 283)(52, 284)(53, 285)(54, 286)(55, 287)(56, 288)(57, 289)(58, 290)(59, 291)(60, 292)(61, 293)(62, 294)(63, 295)(64, 296)(65, 297)(66, 298)(67, 299)(68, 300)(69, 301)(70, 302)(71, 303)(72, 304)(73, 305)(74, 306)(75, 307)(76, 308)(77, 309)(78, 310)(79, 311)(80, 312)(81, 313)(82, 314)(83, 315)(84, 316)(85, 317)(86, 318)(87, 319)(88, 320)(89, 321)(90, 322)(91, 323)(92, 324)(93, 325)(94, 326)(95, 327)(96, 328)(97, 329)(98, 330)(99, 331)(100, 332)(101, 333)(102, 334)(103, 335)(104, 336)(105, 337)(106, 338)(107, 339)(108, 340)(109, 341)(110, 342)(111, 343)(112, 344)(113, 345)(114, 346)(115, 347)(116, 348)(117, 349)(118, 350)(119, 351)(120, 352)(121, 353)(122, 354)(123, 355)(124, 356)(125, 357)(126, 358)(127, 359)(128, 360)(129, 361)(130, 362)(131, 363)(132, 364)(133, 365)(134, 366)(135, 367)(136, 368)(137, 369)(138, 370)(139, 371)(140, 372)(141, 373)(142, 374)(143, 375)(144, 376)(145, 377)(146, 378)(147, 379)(148, 380)(149, 381)(150, 382)(151, 383)(152, 384)(153, 385)(154, 386)(155, 387)(156, 388)(157, 389)(158, 390)(159, 391)(160, 392)(161, 393)(162, 394)(163, 395)(164, 396)(165, 397)(166, 398)(167, 399)(168, 400)(169, 401)(170, 402)(171, 403)(172, 404)(173, 405)(174, 406)(175, 407)(176, 408)(177, 409)(178, 410)(179, 411)(180, 412)(181, 413)(182, 414)(183, 415)(184, 416)(185, 417)(186, 418)(187, 419)(188, 420)(189, 421)(190, 422)(191, 423)(192, 424)(193, 425)(194, 426)(195, 427)(196, 428)(197, 429)(198, 430)(199, 431)(200, 432)(201, 433)(202, 434)(203, 435)(204, 436)(205, 437)(206, 438)(207, 439)(208, 440)(209, 441)(210, 442)(211, 443)(212, 444)(213, 445)(214, 446)(215, 447)(216, 448)(217, 449)(218, 450)(219, 451)(220, 452)(221, 453)(222, 454)(223, 455)(224, 456)(225, 457)(226, 458)(227, 459)(228, 460)(229, 461)(230, 462)(231, 463)(232, 464)
	local type(s) :: { ( 8, 8 ), ( 8^58 ) }
Outer automorphisms :: reflexible
Dual of E28.3163
Transitivity :: ET+
Graph:: simple bipartite
	v = 120 e = 232 f = 58
	degree seq :: [ 2^116, 58^4 ]

E28.3163 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 58})
Quotient :: loop
Aut^+ = (C58 x C2) : C2 (small group id <232, 8>)
Aut   = D8 x D58 (small group id <464, 39>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1 * T2^-1)^2, (T2 * T1)^58 ]
Map::
	R = (1, 233, 3, 235, 10, 242, 5, 237)(2, 234, 6, 238, 18, 250, 8, 240)(4, 236, 13, 245, 28, 260, 14, 246)(7, 239, 21, 253, 38, 270, 22, 254)(9, 241, 25, 257, 15, 247, 27, 259)(11, 243, 29, 261, 16, 248, 30, 262)(12, 244, 26, 258, 48, 280, 32, 264)(17, 249, 35, 267, 23, 255, 37, 269)(19, 251, 39, 271, 24, 256, 40, 272)(20, 252, 36, 268, 62, 294, 42, 274)(31, 263, 54, 286, 80, 312, 55, 287)(33, 265, 57, 289, 34, 266, 58, 290)(41, 273, 68, 300, 96, 328, 69, 301)(43, 275, 71, 303, 44, 276, 72, 304)(45, 277, 73, 305, 49, 281, 75, 307)(46, 278, 76, 308, 50, 282, 77, 309)(47, 279, 74, 306, 56, 288, 79, 311)(51, 283, 81, 313, 52, 284, 82, 314)(53, 285, 78, 310, 109, 341, 84, 316)(59, 291, 89, 321, 63, 295, 91, 323)(60, 292, 92, 324, 64, 296, 93, 325)(61, 293, 90, 322, 70, 302, 95, 327)(65, 297, 97, 329, 66, 298, 98, 330)(67, 299, 94, 326, 125, 357, 100, 332)(83, 315, 114, 346, 140, 372, 115, 347)(85, 317, 117, 349, 86, 318, 118, 350)(87, 319, 119, 351, 88, 320, 120, 352)(99, 331, 130, 362, 154, 386, 131, 363)(101, 333, 133, 365, 102, 334, 134, 366)(103, 335, 135, 367, 104, 336, 136, 368)(105, 337, 122, 354, 110, 342, 123, 355)(106, 338, 126, 358, 107, 339, 121, 353)(108, 340, 137, 369, 116, 348, 139, 371)(111, 343, 141, 373, 112, 344, 142, 374)(113, 345, 138, 370, 166, 398, 144, 376)(124, 356, 151, 383, 132, 364, 153, 385)(127, 359, 155, 387, 128, 360, 156, 388)(129, 361, 152, 384, 180, 412, 158, 390)(143, 375, 170, 402, 194, 426, 171, 403)(145, 377, 173, 405, 146, 378, 174, 406)(147, 379, 175, 407, 148, 380, 176, 408)(149, 381, 177, 409, 150, 382, 178, 410)(157, 389, 184, 416, 206, 438, 185, 417)(159, 391, 187, 419, 160, 392, 188, 420)(161, 393, 189, 421, 162, 394, 190, 422)(163, 395, 191, 423, 164, 396, 192, 424)(165, 397, 182, 414, 172, 404, 181, 413)(167, 399, 179, 411, 168, 400, 186, 418)(169, 401, 193, 425, 218, 450, 196, 428)(183, 415, 205, 437, 226, 458, 208, 440)(195, 427, 210, 442, 228, 460, 209, 441)(197, 429, 207, 439, 198, 430, 220, 452)(199, 431, 221, 453, 200, 432, 222, 454)(201, 433, 223, 455, 202, 434, 224, 456)(203, 435, 217, 449, 204, 436, 219, 451)(211, 443, 229, 461, 212, 444, 230, 462)(213, 445, 231, 463, 214, 446, 232, 464)(215, 447, 225, 457, 216, 448, 227, 459)
	L = (1, 234)(2, 233)(3, 241)(4, 244)(5, 247)(6, 249)(7, 252)(8, 255)(9, 235)(10, 250)(11, 253)(12, 236)(13, 251)(14, 256)(15, 237)(16, 254)(17, 238)(18, 242)(19, 245)(20, 239)(21, 243)(22, 248)(23, 240)(24, 246)(25, 277)(26, 279)(27, 281)(28, 280)(29, 278)(30, 282)(31, 285)(32, 288)(33, 286)(34, 287)(35, 291)(36, 293)(37, 295)(38, 294)(39, 292)(40, 296)(41, 299)(42, 302)(43, 300)(44, 301)(45, 257)(46, 261)(47, 258)(48, 260)(49, 259)(50, 262)(51, 303)(52, 304)(53, 263)(54, 265)(55, 266)(56, 264)(57, 297)(58, 298)(59, 267)(60, 271)(61, 268)(62, 270)(63, 269)(64, 272)(65, 289)(66, 290)(67, 273)(68, 275)(69, 276)(70, 274)(71, 283)(72, 284)(73, 324)(74, 337)(75, 325)(76, 321)(77, 323)(78, 340)(79, 342)(80, 341)(81, 338)(82, 339)(83, 345)(84, 348)(85, 346)(86, 347)(87, 349)(88, 350)(89, 308)(90, 353)(91, 309)(92, 305)(93, 307)(94, 356)(95, 358)(96, 357)(97, 354)(98, 355)(99, 361)(100, 364)(101, 362)(102, 363)(103, 365)(104, 366)(105, 306)(106, 313)(107, 314)(108, 310)(109, 312)(110, 311)(111, 367)(112, 368)(113, 315)(114, 317)(115, 318)(116, 316)(117, 319)(118, 320)(119, 359)(120, 360)(121, 322)(122, 329)(123, 330)(124, 326)(125, 328)(126, 327)(127, 351)(128, 352)(129, 331)(130, 333)(131, 334)(132, 332)(133, 335)(134, 336)(135, 343)(136, 344)(137, 388)(138, 397)(139, 387)(140, 398)(141, 385)(142, 383)(143, 401)(144, 404)(145, 402)(146, 403)(147, 405)(148, 406)(149, 407)(150, 408)(151, 374)(152, 411)(153, 373)(154, 412)(155, 371)(156, 369)(157, 415)(158, 418)(159, 416)(160, 417)(161, 419)(162, 420)(163, 421)(164, 422)(165, 370)(166, 372)(167, 423)(168, 424)(169, 375)(170, 377)(171, 378)(172, 376)(173, 379)(174, 380)(175, 381)(176, 382)(177, 413)(178, 414)(179, 384)(180, 386)(181, 409)(182, 410)(183, 389)(184, 391)(185, 392)(186, 390)(187, 393)(188, 394)(189, 395)(190, 396)(191, 399)(192, 400)(193, 449)(194, 450)(195, 443)(196, 451)(197, 442)(198, 441)(199, 439)(200, 452)(201, 453)(202, 454)(203, 455)(204, 456)(205, 457)(206, 458)(207, 431)(208, 459)(209, 430)(210, 429)(211, 427)(212, 460)(213, 461)(214, 462)(215, 463)(216, 464)(217, 425)(218, 426)(219, 428)(220, 432)(221, 433)(222, 434)(223, 435)(224, 436)(225, 437)(226, 438)(227, 440)(228, 444)(229, 445)(230, 446)(231, 447)(232, 448)
	local type(s) :: { ( 2, 58, 2, 58, 2, 58, 2, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.3162
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 58 e = 232 f = 120
	degree seq :: [ 8^58 ]

E28.3164 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 58})
Quotient :: loop
Aut^+ = (C58 x C2) : C2 (small group id <232, 8>)
Aut   = D8 x D58 (small group id <464, 39>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, (T2 * T1^-1)^2, T2^58 ]
Map::
	R = (1, 233, 3, 235, 10, 242, 18, 250, 26, 258, 34, 266, 42, 274, 50, 282, 58, 290, 66, 298, 70, 302, 77, 309, 81, 313, 87, 319, 90, 322, 95, 327, 98, 330, 103, 335, 107, 339, 150, 382, 157, 389, 162, 394, 165, 397, 170, 402, 173, 405, 178, 410, 181, 413, 186, 418, 189, 421, 230, 462, 227, 459, 223, 455, 219, 451, 215, 447, 211, 443, 207, 439, 203, 435, 199, 431, 194, 426, 153, 385, 146, 378, 141, 373, 137, 369, 133, 365, 129, 361, 125, 357, 121, 353, 116, 348, 111, 343, 68, 300, 60, 292, 52, 284, 44, 276, 36, 268, 28, 260, 20, 252, 12, 244, 5, 237)(2, 234, 7, 239, 15, 247, 23, 255, 31, 263, 39, 271, 47, 279, 55, 287, 63, 295, 71, 303, 74, 306, 73, 305, 85, 317, 84, 316, 93, 325, 92, 324, 101, 333, 100, 332, 142, 374, 110, 342, 154, 386, 159, 391, 164, 396, 167, 399, 172, 404, 175, 407, 180, 412, 183, 415, 188, 420, 193, 425, 229, 461, 225, 457, 221, 453, 217, 449, 213, 445, 209, 441, 205, 437, 201, 433, 197, 429, 190, 422, 149, 381, 144, 376, 139, 371, 135, 367, 131, 363, 127, 359, 123, 355, 119, 351, 113, 345, 118, 350, 64, 296, 56, 288, 48, 280, 40, 272, 32, 264, 24, 256, 16, 248, 8, 240)(4, 236, 11, 243, 19, 251, 27, 259, 35, 267, 43, 275, 51, 283, 59, 291, 67, 299, 79, 311, 69, 301, 80, 312, 78, 310, 89, 321, 88, 320, 97, 329, 96, 328, 105, 337, 104, 336, 147, 379, 156, 388, 160, 392, 163, 395, 168, 400, 171, 403, 176, 408, 179, 411, 184, 416, 187, 419, 195, 427, 231, 463, 226, 458, 222, 454, 218, 450, 214, 446, 210, 442, 206, 438, 202, 434, 198, 430, 192, 424, 151, 383, 145, 377, 140, 372, 136, 368, 132, 364, 128, 360, 124, 356, 120, 352, 114, 346, 109, 341, 65, 297, 57, 289, 49, 281, 41, 273, 33, 265, 25, 257, 17, 249, 9, 241)(6, 238, 13, 245, 21, 253, 29, 261, 37, 269, 45, 277, 53, 285, 61, 293, 83, 315, 75, 307, 72, 304, 76, 308, 82, 314, 86, 318, 91, 323, 94, 326, 99, 331, 102, 334, 108, 340, 152, 384, 158, 390, 161, 393, 166, 398, 169, 401, 174, 406, 177, 409, 182, 414, 185, 417, 191, 423, 232, 464, 228, 460, 224, 456, 220, 452, 216, 448, 212, 444, 208, 440, 204, 436, 200, 432, 196, 428, 155, 387, 148, 380, 143, 375, 138, 370, 134, 366, 130, 362, 126, 358, 122, 354, 117, 349, 112, 344, 115, 347, 106, 338, 62, 294, 54, 286, 46, 278, 38, 270, 30, 262, 22, 254, 14, 246)
	L = (1, 234)(2, 238)(3, 241)(4, 233)(5, 243)(6, 236)(7, 237)(8, 235)(9, 245)(10, 248)(11, 246)(12, 247)(13, 240)(14, 239)(15, 254)(16, 253)(17, 242)(18, 257)(19, 244)(20, 259)(21, 249)(22, 251)(23, 252)(24, 250)(25, 261)(26, 264)(27, 262)(28, 263)(29, 256)(30, 255)(31, 270)(32, 269)(33, 258)(34, 273)(35, 260)(36, 275)(37, 265)(38, 267)(39, 268)(40, 266)(41, 277)(42, 280)(43, 278)(44, 279)(45, 272)(46, 271)(47, 286)(48, 285)(49, 274)(50, 289)(51, 276)(52, 291)(53, 281)(54, 283)(55, 284)(56, 282)(57, 293)(58, 296)(59, 294)(60, 295)(61, 288)(62, 287)(63, 338)(64, 315)(65, 290)(66, 341)(67, 292)(68, 311)(69, 343)(70, 345)(71, 300)(72, 346)(73, 348)(74, 344)(75, 350)(76, 351)(77, 352)(78, 353)(79, 347)(80, 349)(81, 355)(82, 356)(83, 297)(84, 357)(85, 354)(86, 359)(87, 360)(88, 361)(89, 358)(90, 363)(91, 364)(92, 365)(93, 362)(94, 367)(95, 368)(96, 369)(97, 366)(98, 371)(99, 372)(100, 373)(101, 370)(102, 376)(103, 377)(104, 378)(105, 375)(106, 299)(107, 381)(108, 383)(109, 307)(110, 385)(111, 306)(112, 301)(113, 304)(114, 302)(115, 303)(116, 312)(117, 305)(118, 298)(119, 309)(120, 308)(121, 317)(122, 310)(123, 314)(124, 313)(125, 321)(126, 316)(127, 319)(128, 318)(129, 325)(130, 320)(131, 323)(132, 322)(133, 329)(134, 324)(135, 327)(136, 326)(137, 333)(138, 328)(139, 331)(140, 330)(141, 337)(142, 380)(143, 332)(144, 335)(145, 334)(146, 374)(147, 387)(148, 336)(149, 340)(150, 424)(151, 339)(152, 422)(153, 379)(154, 428)(155, 342)(156, 426)(157, 429)(158, 430)(159, 431)(160, 432)(161, 433)(162, 434)(163, 435)(164, 436)(165, 437)(166, 438)(167, 439)(168, 440)(169, 441)(170, 442)(171, 443)(172, 444)(173, 445)(174, 446)(175, 447)(176, 448)(177, 449)(178, 450)(179, 451)(180, 452)(181, 453)(182, 454)(183, 455)(184, 456)(185, 457)(186, 458)(187, 459)(188, 460)(189, 461)(190, 382)(191, 463)(192, 384)(193, 462)(194, 386)(195, 464)(196, 388)(197, 390)(198, 389)(199, 392)(200, 391)(201, 394)(202, 393)(203, 396)(204, 395)(205, 398)(206, 397)(207, 400)(208, 399)(209, 402)(210, 401)(211, 404)(212, 403)(213, 406)(214, 405)(215, 408)(216, 407)(217, 410)(218, 409)(219, 412)(220, 411)(221, 414)(222, 413)(223, 416)(224, 415)(225, 418)(226, 417)(227, 420)(228, 419)(229, 423)(230, 427)(231, 421)(232, 425)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.3160
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 232 f = 174
	degree seq :: [ 116^4 ]

E28.3165 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 58})
Quotient :: loop
Aut^+ = (C58 x C2) : C2 (small group id <232, 8>)
Aut   = D8 x D58 (small group id <464, 39>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T2 * T1)^4, T1^58 ]
Map:: polytopal non-degenerate
	R = (1, 233, 3, 235)(2, 234, 6, 238)(4, 236, 9, 241)(5, 237, 12, 244)(7, 239, 16, 248)(8, 240, 17, 249)(10, 242, 15, 247)(11, 243, 21, 253)(13, 245, 23, 255)(14, 246, 24, 256)(18, 250, 26, 258)(19, 251, 27, 259)(20, 252, 30, 262)(22, 254, 32, 264)(25, 257, 34, 266)(28, 260, 33, 265)(29, 261, 38, 270)(31, 263, 40, 272)(35, 267, 42, 274)(36, 268, 43, 275)(37, 269, 46, 278)(39, 271, 48, 280)(41, 273, 50, 282)(44, 276, 49, 281)(45, 277, 54, 286)(47, 279, 56, 288)(51, 283, 58, 290)(52, 284, 59, 291)(53, 285, 62, 294)(55, 287, 64, 296)(57, 289, 66, 298)(60, 292, 65, 297)(61, 293, 101, 333)(63, 295, 72, 304)(67, 299, 105, 337)(68, 300, 82, 314)(69, 301, 107, 339)(70, 302, 108, 340)(71, 303, 109, 341)(73, 305, 110, 342)(74, 306, 111, 343)(75, 307, 112, 344)(76, 308, 113, 345)(77, 309, 114, 346)(78, 310, 115, 347)(79, 311, 116, 348)(80, 312, 117, 349)(81, 313, 118, 350)(83, 315, 119, 351)(84, 316, 120, 352)(85, 317, 121, 353)(86, 318, 122, 354)(87, 319, 123, 355)(88, 320, 124, 356)(89, 321, 125, 357)(90, 322, 126, 358)(91, 323, 127, 359)(92, 324, 128, 360)(93, 325, 129, 361)(94, 326, 130, 362)(95, 327, 131, 363)(96, 328, 133, 365)(97, 329, 134, 366)(98, 330, 135, 367)(99, 331, 136, 368)(100, 332, 138, 370)(102, 334, 141, 373)(103, 335, 142, 374)(104, 336, 143, 375)(106, 338, 145, 377)(132, 364, 169, 401)(137, 369, 174, 406)(139, 371, 177, 409)(140, 372, 178, 410)(144, 376, 181, 413)(146, 378, 183, 415)(147, 379, 185, 417)(148, 380, 186, 418)(149, 381, 187, 419)(150, 382, 188, 420)(151, 383, 189, 421)(152, 384, 190, 422)(153, 385, 191, 423)(154, 386, 192, 424)(155, 387, 193, 425)(156, 388, 194, 426)(157, 389, 195, 427)(158, 390, 196, 428)(159, 391, 197, 429)(160, 392, 198, 430)(161, 393, 199, 431)(162, 394, 200, 432)(163, 395, 201, 433)(164, 396, 202, 434)(165, 397, 203, 435)(166, 398, 204, 436)(167, 399, 205, 437)(168, 400, 206, 438)(170, 402, 207, 439)(171, 403, 208, 440)(172, 404, 209, 441)(173, 405, 210, 442)(175, 407, 211, 443)(176, 408, 212, 444)(179, 411, 215, 447)(180, 412, 216, 448)(182, 414, 219, 451)(184, 416, 220, 452)(213, 445, 232, 464)(214, 446, 231, 463)(217, 449, 230, 462)(218, 450, 229, 461)(221, 453, 228, 460)(222, 454, 227, 459)(223, 455, 226, 458)(224, 456, 225, 457)
	L = (1, 234)(2, 237)(3, 239)(4, 233)(5, 243)(6, 245)(7, 247)(8, 235)(9, 250)(10, 236)(11, 252)(12, 240)(13, 241)(14, 238)(15, 257)(16, 255)(17, 256)(18, 259)(19, 242)(20, 261)(21, 246)(22, 244)(23, 249)(24, 264)(25, 265)(26, 248)(27, 267)(28, 251)(29, 269)(30, 254)(31, 253)(32, 272)(33, 273)(34, 258)(35, 275)(36, 260)(37, 277)(38, 263)(39, 262)(40, 280)(41, 281)(42, 266)(43, 283)(44, 268)(45, 285)(46, 271)(47, 270)(48, 288)(49, 289)(50, 274)(51, 291)(52, 276)(53, 293)(54, 279)(55, 278)(56, 296)(57, 297)(58, 282)(59, 299)(60, 284)(61, 303)(62, 287)(63, 286)(64, 304)(65, 301)(66, 290)(67, 314)(68, 292)(69, 310)(70, 315)(71, 307)(72, 308)(73, 309)(74, 319)(75, 312)(76, 305)(77, 313)(78, 306)(79, 323)(80, 317)(81, 318)(82, 302)(83, 311)(84, 327)(85, 321)(86, 322)(87, 316)(88, 331)(89, 325)(90, 326)(91, 320)(92, 336)(93, 329)(94, 330)(95, 324)(96, 364)(97, 334)(98, 335)(99, 328)(100, 369)(101, 295)(102, 371)(103, 372)(104, 332)(105, 298)(106, 376)(107, 337)(108, 339)(109, 345)(110, 333)(111, 340)(112, 342)(113, 294)(114, 341)(115, 300)(116, 343)(117, 346)(118, 344)(119, 347)(120, 348)(121, 350)(122, 349)(123, 351)(124, 352)(125, 354)(126, 353)(127, 355)(128, 356)(129, 358)(130, 357)(131, 359)(132, 338)(133, 360)(134, 362)(135, 361)(136, 363)(137, 378)(138, 365)(139, 379)(140, 380)(141, 367)(142, 366)(143, 368)(144, 382)(145, 370)(146, 381)(147, 383)(148, 384)(149, 386)(150, 385)(151, 387)(152, 388)(153, 390)(154, 389)(155, 391)(156, 392)(157, 394)(158, 393)(159, 395)(160, 396)(161, 398)(162, 397)(163, 399)(164, 400)(165, 403)(166, 402)(167, 404)(168, 405)(169, 375)(170, 408)(171, 407)(172, 411)(173, 412)(174, 401)(175, 416)(176, 414)(177, 374)(178, 373)(179, 445)(180, 446)(181, 406)(182, 449)(183, 377)(184, 450)(185, 410)(186, 409)(187, 413)(188, 415)(189, 418)(190, 417)(191, 419)(192, 420)(193, 422)(194, 421)(195, 423)(196, 424)(197, 426)(198, 425)(199, 427)(200, 428)(201, 430)(202, 429)(203, 431)(204, 432)(205, 434)(206, 433)(207, 435)(208, 436)(209, 438)(210, 437)(211, 439)(212, 440)(213, 453)(214, 454)(215, 442)(216, 441)(217, 456)(218, 455)(219, 443)(220, 444)(221, 457)(222, 458)(223, 460)(224, 459)(225, 461)(226, 462)(227, 464)(228, 463)(229, 451)(230, 452)(231, 447)(232, 448)
	local type(s) :: { ( 4, 58, 4, 58 ) }
Outer automorphisms :: reflexible
Dual of E28.3161
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 116 e = 232 f = 62
	degree seq :: [ 4^116 ]

E28.3166 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 58})
Quotient :: dipole
Aut^+ = (C58 x C2) : C2 (small group id <232, 8>)
Aut   = D8 x D58 (small group id <464, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, Y2^4, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1 * Y2^-1)^2, (Y3 * Y2^-1)^58 ]
Map::
	R = (1, 233, 2, 234)(3, 235, 7, 239)(4, 236, 9, 241)(5, 237, 10, 242)(6, 238, 12, 244)(8, 240, 11, 243)(13, 245, 17, 249)(14, 246, 18, 250)(15, 247, 19, 251)(16, 248, 20, 252)(21, 253, 25, 257)(22, 254, 26, 258)(23, 255, 27, 259)(24, 256, 28, 260)(29, 261, 33, 265)(30, 262, 34, 266)(31, 263, 35, 267)(32, 264, 36, 268)(37, 269, 57, 289)(38, 270, 59, 291)(39, 271, 61, 293)(40, 272, 63, 295)(41, 273, 65, 297)(42, 274, 67, 299)(43, 275, 70, 302)(44, 276, 68, 300)(45, 277, 73, 305)(46, 278, 75, 307)(47, 279, 77, 309)(48, 280, 79, 311)(49, 281, 81, 313)(50, 282, 83, 315)(51, 283, 85, 317)(52, 284, 87, 319)(53, 285, 89, 321)(54, 286, 91, 323)(55, 287, 93, 325)(56, 288, 95, 327)(58, 290, 98, 330)(60, 292, 97, 329)(62, 294, 102, 334)(64, 296, 105, 337)(66, 298, 104, 336)(69, 301, 109, 341)(71, 303, 108, 340)(72, 304, 101, 333)(74, 306, 114, 346)(76, 308, 113, 345)(78, 310, 118, 350)(80, 312, 117, 349)(82, 314, 122, 354)(84, 316, 121, 353)(86, 318, 126, 358)(88, 320, 125, 357)(90, 322, 130, 362)(92, 324, 129, 361)(94, 326, 134, 366)(96, 328, 133, 365)(99, 331, 137, 369)(100, 332, 138, 370)(103, 335, 141, 373)(106, 338, 144, 376)(107, 339, 145, 377)(110, 342, 148, 380)(111, 343, 149, 381)(112, 344, 142, 374)(115, 347, 153, 385)(116, 348, 154, 386)(119, 351, 157, 389)(120, 352, 158, 390)(123, 355, 161, 393)(124, 356, 162, 394)(127, 359, 165, 397)(128, 360, 166, 398)(131, 363, 169, 401)(132, 364, 170, 402)(135, 367, 173, 405)(136, 368, 174, 406)(139, 371, 178, 410)(140, 372, 177, 409)(143, 375, 182, 414)(146, 378, 185, 417)(147, 379, 184, 416)(150, 382, 189, 421)(151, 383, 188, 420)(152, 384, 181, 413)(155, 387, 194, 426)(156, 388, 193, 425)(159, 391, 198, 430)(160, 392, 197, 429)(163, 395, 202, 434)(164, 396, 201, 433)(167, 399, 206, 438)(168, 400, 205, 437)(171, 403, 210, 442)(172, 404, 209, 441)(175, 407, 214, 446)(176, 408, 213, 445)(179, 411, 217, 449)(180, 412, 218, 450)(183, 415, 221, 453)(186, 418, 224, 456)(187, 419, 225, 457)(190, 422, 228, 460)(191, 423, 229, 461)(192, 424, 222, 454)(195, 427, 230, 462)(196, 428, 231, 463)(199, 431, 226, 458)(200, 432, 227, 459)(203, 435, 232, 464)(204, 436, 223, 455)(207, 439, 219, 451)(208, 440, 220, 452)(211, 443, 216, 448)(212, 444, 215, 447)(465, 697, 467, 699, 472, 704, 468, 700)(466, 698, 469, 701, 475, 707, 470, 702)(471, 703, 477, 709, 473, 705, 478, 710)(474, 706, 479, 711, 476, 708, 480, 712)(481, 713, 485, 717, 482, 714, 486, 718)(483, 715, 487, 719, 484, 716, 488, 720)(489, 721, 493, 725, 490, 722, 494, 726)(491, 723, 495, 727, 492, 724, 496, 728)(497, 729, 501, 733, 498, 730, 502, 734)(499, 731, 508, 740, 500, 732, 503, 735)(504, 736, 521, 753, 505, 737, 523, 755)(506, 738, 532, 764, 507, 739, 525, 757)(509, 741, 529, 761, 510, 742, 527, 759)(511, 743, 534, 766, 512, 744, 531, 763)(513, 745, 539, 771, 514, 746, 537, 769)(515, 747, 543, 775, 516, 748, 541, 773)(517, 749, 547, 779, 518, 750, 545, 777)(519, 751, 551, 783, 520, 752, 549, 781)(522, 754, 555, 787, 524, 756, 553, 785)(526, 758, 557, 789, 536, 768, 559, 791)(528, 760, 562, 794, 530, 762, 561, 793)(533, 765, 565, 797, 535, 767, 566, 798)(538, 770, 568, 800, 540, 772, 569, 801)(542, 774, 572, 804, 544, 776, 573, 805)(546, 778, 577, 809, 548, 780, 578, 810)(550, 782, 581, 813, 552, 784, 582, 814)(554, 786, 585, 817, 556, 788, 586, 818)(558, 790, 589, 821, 560, 792, 590, 822)(563, 795, 593, 825, 564, 796, 594, 826)(567, 799, 598, 830, 576, 808, 597, 829)(570, 802, 601, 833, 571, 803, 602, 834)(574, 806, 606, 838, 575, 807, 605, 837)(579, 811, 609, 841, 580, 812, 608, 840)(583, 815, 613, 845, 584, 816, 612, 844)(587, 819, 618, 850, 588, 820, 617, 849)(591, 823, 622, 854, 592, 824, 621, 853)(595, 827, 626, 858, 596, 828, 625, 857)(599, 831, 630, 862, 600, 832, 629, 861)(603, 835, 634, 866, 604, 836, 633, 865)(607, 839, 637, 869, 616, 848, 638, 870)(610, 842, 642, 874, 611, 843, 641, 873)(614, 846, 645, 877, 615, 847, 646, 878)(619, 851, 648, 880, 620, 852, 649, 881)(623, 855, 652, 884, 624, 856, 653, 885)(627, 859, 657, 889, 628, 860, 658, 890)(631, 863, 661, 893, 632, 864, 662, 894)(635, 867, 665, 897, 636, 868, 666, 898)(639, 871, 669, 901, 640, 872, 670, 902)(643, 875, 673, 905, 644, 876, 674, 906)(647, 879, 678, 910, 656, 888, 677, 909)(650, 882, 681, 913, 651, 883, 682, 914)(654, 886, 686, 918, 655, 887, 685, 917)(659, 891, 689, 921, 660, 892, 688, 920)(663, 895, 693, 925, 664, 896, 692, 924)(667, 899, 695, 927, 668, 900, 694, 926)(671, 903, 691, 923, 672, 904, 690, 922)(675, 907, 687, 919, 676, 908, 696, 928)(679, 911, 684, 916, 680, 912, 683, 915)
	L = (1, 466)(2, 465)(3, 471)(4, 473)(5, 474)(6, 476)(7, 467)(8, 475)(9, 468)(10, 469)(11, 472)(12, 470)(13, 481)(14, 482)(15, 483)(16, 484)(17, 477)(18, 478)(19, 479)(20, 480)(21, 489)(22, 490)(23, 491)(24, 492)(25, 485)(26, 486)(27, 487)(28, 488)(29, 497)(30, 498)(31, 499)(32, 500)(33, 493)(34, 494)(35, 495)(36, 496)(37, 521)(38, 523)(39, 525)(40, 527)(41, 529)(42, 531)(43, 534)(44, 532)(45, 537)(46, 539)(47, 541)(48, 543)(49, 545)(50, 547)(51, 549)(52, 551)(53, 553)(54, 555)(55, 557)(56, 559)(57, 501)(58, 562)(59, 502)(60, 561)(61, 503)(62, 566)(63, 504)(64, 569)(65, 505)(66, 568)(67, 506)(68, 508)(69, 573)(70, 507)(71, 572)(72, 565)(73, 509)(74, 578)(75, 510)(76, 577)(77, 511)(78, 582)(79, 512)(80, 581)(81, 513)(82, 586)(83, 514)(84, 585)(85, 515)(86, 590)(87, 516)(88, 589)(89, 517)(90, 594)(91, 518)(92, 593)(93, 519)(94, 598)(95, 520)(96, 597)(97, 524)(98, 522)(99, 601)(100, 602)(101, 536)(102, 526)(103, 605)(104, 530)(105, 528)(106, 608)(107, 609)(108, 535)(109, 533)(110, 612)(111, 613)(112, 606)(113, 540)(114, 538)(115, 617)(116, 618)(117, 544)(118, 542)(119, 621)(120, 622)(121, 548)(122, 546)(123, 625)(124, 626)(125, 552)(126, 550)(127, 629)(128, 630)(129, 556)(130, 554)(131, 633)(132, 634)(133, 560)(134, 558)(135, 637)(136, 638)(137, 563)(138, 564)(139, 642)(140, 641)(141, 567)(142, 576)(143, 646)(144, 570)(145, 571)(146, 649)(147, 648)(148, 574)(149, 575)(150, 653)(151, 652)(152, 645)(153, 579)(154, 580)(155, 658)(156, 657)(157, 583)(158, 584)(159, 662)(160, 661)(161, 587)(162, 588)(163, 666)(164, 665)(165, 591)(166, 592)(167, 670)(168, 669)(169, 595)(170, 596)(171, 674)(172, 673)(173, 599)(174, 600)(175, 678)(176, 677)(177, 604)(178, 603)(179, 681)(180, 682)(181, 616)(182, 607)(183, 685)(184, 611)(185, 610)(186, 688)(187, 689)(188, 615)(189, 614)(190, 692)(191, 693)(192, 686)(193, 620)(194, 619)(195, 694)(196, 695)(197, 624)(198, 623)(199, 690)(200, 691)(201, 628)(202, 627)(203, 696)(204, 687)(205, 632)(206, 631)(207, 683)(208, 684)(209, 636)(210, 635)(211, 680)(212, 679)(213, 640)(214, 639)(215, 676)(216, 675)(217, 643)(218, 644)(219, 671)(220, 672)(221, 647)(222, 656)(223, 668)(224, 650)(225, 651)(226, 663)(227, 664)(228, 654)(229, 655)(230, 659)(231, 660)(232, 667)(233, 697)(234, 698)(235, 699)(236, 700)(237, 701)(238, 702)(239, 703)(240, 704)(241, 705)(242, 706)(243, 707)(244, 708)(245, 709)(246, 710)(247, 711)(248, 712)(249, 713)(250, 714)(251, 715)(252, 716)(253, 717)(254, 718)(255, 719)(256, 720)(257, 721)(258, 722)(259, 723)(260, 724)(261, 725)(262, 726)(263, 727)(264, 728)(265, 729)(266, 730)(267, 731)(268, 732)(269, 733)(270, 734)(271, 735)(272, 736)(273, 737)(274, 738)(275, 739)(276, 740)(277, 741)(278, 742)(279, 743)(280, 744)(281, 745)(282, 746)(283, 747)(284, 748)(285, 749)(286, 750)(287, 751)(288, 752)(289, 753)(290, 754)(291, 755)(292, 756)(293, 757)(294, 758)(295, 759)(296, 760)(297, 761)(298, 762)(299, 763)(300, 764)(301, 765)(302, 766)(303, 767)(304, 768)(305, 769)(306, 770)(307, 771)(308, 772)(309, 773)(310, 774)(311, 775)(312, 776)(313, 777)(314, 778)(315, 779)(316, 780)(317, 781)(318, 782)(319, 783)(320, 784)(321, 785)(322, 786)(323, 787)(324, 788)(325, 789)(326, 790)(327, 791)(328, 792)(329, 793)(330, 794)(331, 795)(332, 796)(333, 797)(334, 798)(335, 799)(336, 800)(337, 801)(338, 802)(339, 803)(340, 804)(341, 805)(342, 806)(343, 807)(344, 808)(345, 809)(346, 810)(347, 811)(348, 812)(349, 813)(350, 814)(351, 815)(352, 816)(353, 817)(354, 818)(355, 819)(356, 820)(357, 821)(358, 822)(359, 823)(360, 824)(361, 825)(362, 826)(363, 827)(364, 828)(365, 829)(366, 830)(367, 831)(368, 832)(369, 833)(370, 834)(371, 835)(372, 836)(373, 837)(374, 838)(375, 839)(376, 840)(377, 841)(378, 842)(379, 843)(380, 844)(381, 845)(382, 846)(383, 847)(384, 848)(385, 849)(386, 850)(387, 851)(388, 852)(389, 853)(390, 854)(391, 855)(392, 856)(393, 857)(394, 858)(395, 859)(396, 860)(397, 861)(398, 862)(399, 863)(400, 864)(401, 865)(402, 866)(403, 867)(404, 868)(405, 869)(406, 870)(407, 871)(408, 872)(409, 873)(410, 874)(411, 875)(412, 876)(413, 877)(414, 878)(415, 879)(416, 880)(417, 881)(418, 882)(419, 883)(420, 884)(421, 885)(422, 886)(423, 887)(424, 888)(425, 889)(426, 890)(427, 891)(428, 892)(429, 893)(430, 894)(431, 895)(432, 896)(433, 897)(434, 898)(435, 899)(436, 900)(437, 901)(438, 902)(439, 903)(440, 904)(441, 905)(442, 906)(443, 907)(444, 908)(445, 909)(446, 910)(447, 911)(448, 912)(449, 913)(450, 914)(451, 915)(452, 916)(453, 917)(454, 918)(455, 919)(456, 920)(457, 921)(458, 922)(459, 923)(460, 924)(461, 925)(462, 926)(463, 927)(464, 928)
	local type(s) :: { ( 2, 116, 2, 116 ), ( 2, 116, 2, 116, 2, 116, 2, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.3169
Graph:: bipartite
	v = 174 e = 464 f = 236
	degree seq :: [ 4^116, 8^58 ]

E28.3167 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 58})
Quotient :: dipole
Aut^+ = (C58 x C2) : C2 (small group id <232, 8>)
Aut   = D8 x D58 (small group id <464, 39>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2 * Y1)^2, (Y3^-1 * Y1^-1)^2, (Y2^-1 * Y1)^2, Y1^4, Y2^58 ]
Map::
	R = (1, 233, 2, 234, 6, 238, 4, 236)(3, 235, 9, 241, 13, 245, 8, 240)(5, 237, 11, 243, 14, 246, 7, 239)(10, 242, 16, 248, 21, 253, 17, 249)(12, 244, 15, 247, 22, 254, 19, 251)(18, 250, 25, 257, 29, 261, 24, 256)(20, 252, 27, 259, 30, 262, 23, 255)(26, 258, 32, 264, 37, 269, 33, 265)(28, 260, 31, 263, 38, 270, 35, 267)(34, 266, 41, 273, 45, 277, 40, 272)(36, 268, 43, 275, 46, 278, 39, 271)(42, 274, 48, 280, 53, 285, 49, 281)(44, 276, 47, 279, 54, 286, 51, 283)(50, 282, 57, 289, 61, 293, 56, 288)(52, 284, 59, 291, 62, 294, 55, 287)(58, 290, 64, 296, 97, 329, 65, 297)(60, 292, 63, 295, 69, 301, 67, 299)(66, 298, 71, 303, 107, 339, 72, 304)(68, 300, 103, 335, 70, 302, 99, 331)(73, 305, 110, 342, 77, 309, 112, 344)(74, 306, 102, 334, 75, 307, 114, 346)(76, 308, 116, 348, 81, 313, 118, 350)(78, 310, 120, 352, 79, 311, 122, 354)(80, 312, 124, 356, 85, 317, 126, 358)(82, 314, 128, 360, 83, 315, 130, 362)(84, 316, 132, 364, 89, 321, 134, 366)(86, 318, 136, 368, 87, 319, 138, 370)(88, 320, 140, 372, 93, 325, 142, 374)(90, 322, 144, 376, 91, 323, 146, 378)(92, 324, 148, 380, 98, 330, 150, 382)(94, 326, 152, 384, 95, 327, 154, 386)(96, 328, 156, 388, 105, 337, 158, 390)(100, 332, 159, 391, 101, 333, 163, 395)(104, 336, 166, 398, 106, 338, 161, 393)(108, 340, 170, 402, 109, 341, 172, 404)(111, 343, 174, 406, 119, 351, 176, 408)(113, 345, 165, 397, 115, 347, 178, 410)(117, 349, 180, 412, 127, 359, 182, 414)(121, 353, 184, 416, 123, 355, 186, 418)(125, 357, 188, 420, 135, 367, 190, 422)(129, 361, 192, 424, 131, 363, 194, 426)(133, 365, 196, 428, 143, 375, 198, 430)(137, 369, 200, 432, 139, 371, 202, 434)(141, 373, 204, 436, 151, 383, 206, 438)(145, 377, 208, 440, 147, 379, 210, 442)(149, 381, 212, 444, 160, 392, 214, 446)(153, 385, 216, 448, 155, 387, 218, 450)(157, 389, 220, 452, 168, 400, 222, 454)(162, 394, 223, 455, 164, 396, 227, 459)(167, 399, 230, 462, 169, 401, 225, 457)(171, 403, 231, 463, 173, 405, 232, 464)(175, 407, 226, 458, 183, 415, 228, 460)(177, 409, 229, 461, 179, 411, 221, 453)(181, 413, 219, 451, 191, 423, 217, 449)(185, 417, 213, 445, 187, 419, 224, 456)(189, 421, 209, 441, 199, 431, 211, 443)(193, 425, 215, 447, 195, 427, 205, 437)(197, 429, 203, 435, 207, 439, 201, 433)(465, 697, 467, 699, 474, 706, 482, 714, 490, 722, 498, 730, 506, 738, 514, 746, 522, 754, 530, 762, 566, 798, 586, 818, 592, 824, 602, 834, 608, 840, 618, 850, 623, 855, 634, 866, 642, 874, 648, 880, 658, 890, 664, 896, 674, 906, 680, 912, 691, 923, 696, 928, 693, 925, 688, 920, 679, 911, 671, 903, 663, 895, 655, 887, 647, 879, 631, 863, 621, 853, 613, 845, 605, 837, 597, 829, 589, 821, 581, 813, 575, 807, 570, 802, 569, 801, 562, 794, 557, 789, 553, 785, 549, 781, 545, 777, 541, 773, 532, 764, 524, 756, 516, 748, 508, 740, 500, 732, 492, 724, 484, 716, 476, 708, 469, 701)(466, 698, 471, 703, 479, 711, 487, 719, 495, 727, 503, 735, 511, 743, 519, 751, 527, 759, 563, 795, 576, 808, 580, 812, 590, 822, 596, 828, 606, 838, 612, 844, 622, 854, 630, 862, 638, 870, 646, 878, 652, 884, 662, 894, 668, 900, 678, 910, 684, 916, 689, 921, 692, 924, 683, 915, 675, 907, 667, 899, 659, 891, 651, 883, 643, 875, 637, 869, 626, 858, 617, 849, 609, 841, 601, 833, 593, 825, 585, 817, 577, 809, 572, 804, 565, 797, 559, 791, 555, 787, 551, 783, 547, 779, 543, 775, 539, 771, 536, 768, 528, 760, 520, 752, 512, 744, 504, 736, 496, 728, 488, 720, 480, 712, 472, 704)(468, 700, 475, 707, 483, 715, 491, 723, 499, 731, 507, 739, 515, 747, 523, 755, 531, 763, 567, 799, 574, 806, 582, 814, 588, 820, 598, 830, 604, 836, 614, 846, 620, 852, 625, 857, 640, 872, 644, 876, 654, 886, 660, 892, 670, 902, 676, 908, 686, 918, 694, 926, 690, 922, 681, 913, 673, 905, 665, 897, 657, 889, 649, 881, 641, 873, 635, 867, 628, 860, 619, 851, 611, 843, 603, 835, 595, 827, 587, 819, 579, 811, 573, 805, 564, 796, 558, 790, 554, 786, 550, 782, 546, 778, 542, 774, 538, 770, 535, 767, 529, 761, 521, 753, 513, 745, 505, 737, 497, 729, 489, 721, 481, 713, 473, 705)(470, 702, 477, 709, 485, 717, 493, 725, 501, 733, 509, 741, 517, 749, 525, 757, 561, 793, 571, 803, 578, 810, 584, 816, 594, 826, 600, 832, 610, 842, 616, 848, 627, 859, 636, 868, 629, 861, 650, 882, 656, 888, 666, 898, 672, 904, 682, 914, 687, 919, 695, 927, 685, 917, 677, 909, 669, 901, 661, 893, 653, 885, 645, 877, 639, 871, 633, 865, 632, 864, 624, 856, 615, 847, 607, 839, 599, 831, 591, 823, 583, 815, 568, 800, 560, 792, 556, 788, 552, 784, 548, 780, 544, 776, 540, 772, 537, 769, 534, 766, 533, 765, 526, 758, 518, 750, 510, 742, 502, 734, 494, 726, 486, 718, 478, 710)
	L = (1, 467)(2, 471)(3, 474)(4, 475)(5, 465)(6, 477)(7, 479)(8, 466)(9, 468)(10, 482)(11, 483)(12, 469)(13, 485)(14, 470)(15, 487)(16, 472)(17, 473)(18, 490)(19, 491)(20, 476)(21, 493)(22, 478)(23, 495)(24, 480)(25, 481)(26, 498)(27, 499)(28, 484)(29, 501)(30, 486)(31, 503)(32, 488)(33, 489)(34, 506)(35, 507)(36, 492)(37, 509)(38, 494)(39, 511)(40, 496)(41, 497)(42, 514)(43, 515)(44, 500)(45, 517)(46, 502)(47, 519)(48, 504)(49, 505)(50, 522)(51, 523)(52, 508)(53, 525)(54, 510)(55, 527)(56, 512)(57, 513)(58, 530)(59, 531)(60, 516)(61, 561)(62, 518)(63, 563)(64, 520)(65, 521)(66, 566)(67, 567)(68, 524)(69, 526)(70, 533)(71, 529)(72, 528)(73, 534)(74, 535)(75, 536)(76, 537)(77, 532)(78, 538)(79, 539)(80, 540)(81, 541)(82, 542)(83, 543)(84, 544)(85, 545)(86, 546)(87, 547)(88, 548)(89, 549)(90, 550)(91, 551)(92, 552)(93, 553)(94, 554)(95, 555)(96, 556)(97, 571)(98, 557)(99, 576)(100, 558)(101, 559)(102, 586)(103, 574)(104, 560)(105, 562)(106, 569)(107, 578)(108, 565)(109, 564)(110, 582)(111, 570)(112, 580)(113, 572)(114, 584)(115, 573)(116, 590)(117, 575)(118, 588)(119, 568)(120, 594)(121, 577)(122, 592)(123, 579)(124, 598)(125, 581)(126, 596)(127, 583)(128, 602)(129, 585)(130, 600)(131, 587)(132, 606)(133, 589)(134, 604)(135, 591)(136, 610)(137, 593)(138, 608)(139, 595)(140, 614)(141, 597)(142, 612)(143, 599)(144, 618)(145, 601)(146, 616)(147, 603)(148, 622)(149, 605)(150, 620)(151, 607)(152, 627)(153, 609)(154, 623)(155, 611)(156, 625)(157, 613)(158, 630)(159, 634)(160, 615)(161, 640)(162, 617)(163, 636)(164, 619)(165, 650)(166, 638)(167, 621)(168, 624)(169, 632)(170, 642)(171, 628)(172, 629)(173, 626)(174, 646)(175, 633)(176, 644)(177, 635)(178, 648)(179, 637)(180, 654)(181, 639)(182, 652)(183, 631)(184, 658)(185, 641)(186, 656)(187, 643)(188, 662)(189, 645)(190, 660)(191, 647)(192, 666)(193, 649)(194, 664)(195, 651)(196, 670)(197, 653)(198, 668)(199, 655)(200, 674)(201, 657)(202, 672)(203, 659)(204, 678)(205, 661)(206, 676)(207, 663)(208, 682)(209, 665)(210, 680)(211, 667)(212, 686)(213, 669)(214, 684)(215, 671)(216, 691)(217, 673)(218, 687)(219, 675)(220, 689)(221, 677)(222, 694)(223, 695)(224, 679)(225, 692)(226, 681)(227, 696)(228, 683)(229, 688)(230, 690)(231, 685)(232, 693)(233, 697)(234, 698)(235, 699)(236, 700)(237, 701)(238, 702)(239, 703)(240, 704)(241, 705)(242, 706)(243, 707)(244, 708)(245, 709)(246, 710)(247, 711)(248, 712)(249, 713)(250, 714)(251, 715)(252, 716)(253, 717)(254, 718)(255, 719)(256, 720)(257, 721)(258, 722)(259, 723)(260, 724)(261, 725)(262, 726)(263, 727)(264, 728)(265, 729)(266, 730)(267, 731)(268, 732)(269, 733)(270, 734)(271, 735)(272, 736)(273, 737)(274, 738)(275, 739)(276, 740)(277, 741)(278, 742)(279, 743)(280, 744)(281, 745)(282, 746)(283, 747)(284, 748)(285, 749)(286, 750)(287, 751)(288, 752)(289, 753)(290, 754)(291, 755)(292, 756)(293, 757)(294, 758)(295, 759)(296, 760)(297, 761)(298, 762)(299, 763)(300, 764)(301, 765)(302, 766)(303, 767)(304, 768)(305, 769)(306, 770)(307, 771)(308, 772)(309, 773)(310, 774)(311, 775)(312, 776)(313, 777)(314, 778)(315, 779)(316, 780)(317, 781)(318, 782)(319, 783)(320, 784)(321, 785)(322, 786)(323, 787)(324, 788)(325, 789)(326, 790)(327, 791)(328, 792)(329, 793)(330, 794)(331, 795)(332, 796)(333, 797)(334, 798)(335, 799)(336, 800)(337, 801)(338, 802)(339, 803)(340, 804)(341, 805)(342, 806)(343, 807)(344, 808)(345, 809)(346, 810)(347, 811)(348, 812)(349, 813)(350, 814)(351, 815)(352, 816)(353, 817)(354, 818)(355, 819)(356, 820)(357, 821)(358, 822)(359, 823)(360, 824)(361, 825)(362, 826)(363, 827)(364, 828)(365, 829)(366, 830)(367, 831)(368, 832)(369, 833)(370, 834)(371, 835)(372, 836)(373, 837)(374, 838)(375, 839)(376, 840)(377, 841)(378, 842)(379, 843)(380, 844)(381, 845)(382, 846)(383, 847)(384, 848)(385, 849)(386, 850)(387, 851)(388, 852)(389, 853)(390, 854)(391, 855)(392, 856)(393, 857)(394, 858)(395, 859)(396, 860)(397, 861)(398, 862)(399, 863)(400, 864)(401, 865)(402, 866)(403, 867)(404, 868)(405, 869)(406, 870)(407, 871)(408, 872)(409, 873)(410, 874)(411, 875)(412, 876)(413, 877)(414, 878)(415, 879)(416, 880)(417, 881)(418, 882)(419, 883)(420, 884)(421, 885)(422, 886)(423, 887)(424, 888)(425, 889)(426, 890)(427, 891)(428, 892)(429, 893)(430, 894)(431, 895)(432, 896)(433, 897)(434, 898)(435, 899)(436, 900)(437, 901)(438, 902)(439, 903)(440, 904)(441, 905)(442, 906)(443, 907)(444, 908)(445, 909)(446, 910)(447, 911)(448, 912)(449, 913)(450, 914)(451, 915)(452, 916)(453, 917)(454, 918)(455, 919)(456, 920)(457, 921)(458, 922)(459, 923)(460, 924)(461, 925)(462, 926)(463, 927)(464, 928)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.3168
Graph:: bipartite
	v = 62 e = 464 f = 348
	degree seq :: [ 8^58, 116^4 ]

E28.3168 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 58})
Quotient :: dipole
Aut^+ = (C58 x C2) : C2 (small group id <232, 8>)
Aut   = D8 x D58 (small group id <464, 39>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y2)^2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2, (Y3^-1 * Y1^-1)^58 ]
Map:: polytopal
	R = (1, 233)(2, 234)(3, 235)(4, 236)(5, 237)(6, 238)(7, 239)(8, 240)(9, 241)(10, 242)(11, 243)(12, 244)(13, 245)(14, 246)(15, 247)(16, 248)(17, 249)(18, 250)(19, 251)(20, 252)(21, 253)(22, 254)(23, 255)(24, 256)(25, 257)(26, 258)(27, 259)(28, 260)(29, 261)(30, 262)(31, 263)(32, 264)(33, 265)(34, 266)(35, 267)(36, 268)(37, 269)(38, 270)(39, 271)(40, 272)(41, 273)(42, 274)(43, 275)(44, 276)(45, 277)(46, 278)(47, 279)(48, 280)(49, 281)(50, 282)(51, 283)(52, 284)(53, 285)(54, 286)(55, 287)(56, 288)(57, 289)(58, 290)(59, 291)(60, 292)(61, 293)(62, 294)(63, 295)(64, 296)(65, 297)(66, 298)(67, 299)(68, 300)(69, 301)(70, 302)(71, 303)(72, 304)(73, 305)(74, 306)(75, 307)(76, 308)(77, 309)(78, 310)(79, 311)(80, 312)(81, 313)(82, 314)(83, 315)(84, 316)(85, 317)(86, 318)(87, 319)(88, 320)(89, 321)(90, 322)(91, 323)(92, 324)(93, 325)(94, 326)(95, 327)(96, 328)(97, 329)(98, 330)(99, 331)(100, 332)(101, 333)(102, 334)(103, 335)(104, 336)(105, 337)(106, 338)(107, 339)(108, 340)(109, 341)(110, 342)(111, 343)(112, 344)(113, 345)(114, 346)(115, 347)(116, 348)(117, 349)(118, 350)(119, 351)(120, 352)(121, 353)(122, 354)(123, 355)(124, 356)(125, 357)(126, 358)(127, 359)(128, 360)(129, 361)(130, 362)(131, 363)(132, 364)(133, 365)(134, 366)(135, 367)(136, 368)(137, 369)(138, 370)(139, 371)(140, 372)(141, 373)(142, 374)(143, 375)(144, 376)(145, 377)(146, 378)(147, 379)(148, 380)(149, 381)(150, 382)(151, 383)(152, 384)(153, 385)(154, 386)(155, 387)(156, 388)(157, 389)(158, 390)(159, 391)(160, 392)(161, 393)(162, 394)(163, 395)(164, 396)(165, 397)(166, 398)(167, 399)(168, 400)(169, 401)(170, 402)(171, 403)(172, 404)(173, 405)(174, 406)(175, 407)(176, 408)(177, 409)(178, 410)(179, 411)(180, 412)(181, 413)(182, 414)(183, 415)(184, 416)(185, 417)(186, 418)(187, 419)(188, 420)(189, 421)(190, 422)(191, 423)(192, 424)(193, 425)(194, 426)(195, 427)(196, 428)(197, 429)(198, 430)(199, 431)(200, 432)(201, 433)(202, 434)(203, 435)(204, 436)(205, 437)(206, 438)(207, 439)(208, 440)(209, 441)(210, 442)(211, 443)(212, 444)(213, 445)(214, 446)(215, 447)(216, 448)(217, 449)(218, 450)(219, 451)(220, 452)(221, 453)(222, 454)(223, 455)(224, 456)(225, 457)(226, 458)(227, 459)(228, 460)(229, 461)(230, 462)(231, 463)(232, 464)(465, 697, 466, 698)(467, 699, 471, 703)(468, 700, 473, 705)(469, 701, 475, 707)(470, 702, 477, 709)(472, 704, 478, 710)(474, 706, 476, 708)(479, 711, 484, 716)(480, 712, 487, 719)(481, 713, 489, 721)(482, 714, 485, 717)(483, 715, 491, 723)(486, 718, 493, 725)(488, 720, 495, 727)(490, 722, 496, 728)(492, 724, 494, 726)(497, 729, 503, 735)(498, 730, 505, 737)(499, 731, 501, 733)(500, 732, 507, 739)(502, 734, 509, 741)(504, 736, 511, 743)(506, 738, 512, 744)(508, 740, 510, 742)(513, 745, 519, 751)(514, 746, 521, 753)(515, 747, 517, 749)(516, 748, 523, 755)(518, 750, 525, 757)(520, 752, 527, 759)(522, 754, 528, 760)(524, 756, 526, 758)(529, 761, 567, 799)(530, 762, 533, 765)(531, 763, 537, 769)(532, 764, 571, 803)(534, 766, 565, 797)(535, 767, 569, 801)(536, 768, 573, 805)(538, 770, 574, 806)(539, 771, 575, 807)(540, 772, 576, 808)(541, 773, 577, 809)(542, 774, 578, 810)(543, 775, 579, 811)(544, 776, 580, 812)(545, 777, 581, 813)(546, 778, 582, 814)(547, 779, 583, 815)(548, 780, 584, 816)(549, 781, 585, 817)(550, 782, 586, 818)(551, 783, 587, 819)(552, 784, 588, 820)(553, 785, 589, 821)(554, 786, 590, 822)(555, 787, 591, 823)(556, 788, 592, 824)(557, 789, 593, 825)(558, 790, 594, 826)(559, 791, 595, 827)(560, 792, 597, 829)(561, 793, 598, 830)(562, 794, 599, 831)(563, 795, 600, 832)(564, 796, 602, 834)(566, 798, 605, 837)(568, 800, 606, 838)(570, 802, 609, 841)(572, 804, 610, 842)(596, 828, 635, 867)(601, 833, 640, 872)(603, 835, 641, 873)(604, 836, 642, 874)(607, 839, 645, 877)(608, 840, 646, 878)(611, 843, 649, 881)(612, 844, 650, 882)(613, 845, 651, 883)(614, 846, 652, 884)(615, 847, 653, 885)(616, 848, 654, 886)(617, 849, 655, 887)(618, 850, 656, 888)(619, 851, 657, 889)(620, 852, 658, 890)(621, 853, 659, 891)(622, 854, 660, 892)(623, 855, 661, 893)(624, 856, 662, 894)(625, 857, 663, 895)(626, 858, 664, 896)(627, 859, 665, 897)(628, 860, 666, 898)(629, 861, 667, 899)(630, 862, 668, 900)(631, 863, 669, 901)(632, 864, 670, 902)(633, 865, 671, 903)(634, 866, 672, 904)(636, 868, 673, 905)(637, 869, 674, 906)(638, 870, 675, 907)(639, 871, 676, 908)(643, 875, 679, 911)(644, 876, 680, 912)(647, 879, 683, 915)(648, 880, 684, 916)(677, 909, 696, 928)(678, 910, 695, 927)(681, 913, 693, 925)(682, 914, 694, 926)(685, 917, 691, 923)(686, 918, 692, 924)(687, 919, 690, 922)(688, 920, 689, 921)
	L = (1, 467)(2, 469)(3, 472)(4, 465)(5, 476)(6, 466)(7, 479)(8, 481)(9, 482)(10, 468)(11, 484)(12, 486)(13, 487)(14, 470)(15, 473)(16, 471)(17, 490)(18, 491)(19, 474)(20, 477)(21, 475)(22, 494)(23, 495)(24, 478)(25, 480)(26, 498)(27, 499)(28, 483)(29, 485)(30, 502)(31, 503)(32, 488)(33, 489)(34, 506)(35, 507)(36, 492)(37, 493)(38, 510)(39, 511)(40, 496)(41, 497)(42, 514)(43, 515)(44, 500)(45, 501)(46, 518)(47, 519)(48, 504)(49, 505)(50, 522)(51, 523)(52, 508)(53, 509)(54, 526)(55, 527)(56, 512)(57, 513)(58, 530)(59, 531)(60, 516)(61, 517)(62, 565)(63, 567)(64, 520)(65, 521)(66, 569)(67, 571)(68, 524)(69, 529)(70, 537)(71, 544)(72, 532)(73, 525)(74, 541)(75, 534)(76, 539)(77, 533)(78, 546)(79, 536)(80, 528)(81, 543)(82, 535)(83, 550)(84, 540)(85, 548)(86, 538)(87, 554)(88, 545)(89, 552)(90, 542)(91, 558)(92, 549)(93, 556)(94, 547)(95, 562)(96, 553)(97, 560)(98, 551)(99, 568)(100, 557)(101, 573)(102, 564)(103, 580)(104, 555)(105, 574)(106, 596)(107, 575)(108, 561)(109, 576)(110, 578)(111, 579)(112, 581)(113, 582)(114, 583)(115, 584)(116, 577)(117, 585)(118, 586)(119, 587)(120, 588)(121, 589)(122, 590)(123, 591)(124, 592)(125, 593)(126, 594)(127, 595)(128, 597)(129, 598)(130, 599)(131, 600)(132, 559)(133, 602)(134, 605)(135, 606)(136, 609)(137, 563)(138, 610)(139, 572)(140, 566)(141, 641)(142, 635)(143, 601)(144, 570)(145, 645)(146, 642)(147, 604)(148, 603)(149, 608)(150, 607)(151, 612)(152, 611)(153, 614)(154, 613)(155, 616)(156, 615)(157, 618)(158, 617)(159, 620)(160, 619)(161, 622)(162, 621)(163, 624)(164, 623)(165, 626)(166, 625)(167, 628)(168, 627)(169, 630)(170, 629)(171, 640)(172, 632)(173, 631)(174, 634)(175, 633)(176, 646)(177, 649)(178, 650)(179, 637)(180, 636)(181, 651)(182, 652)(183, 639)(184, 638)(185, 653)(186, 654)(187, 655)(188, 656)(189, 657)(190, 658)(191, 659)(192, 660)(193, 661)(194, 662)(195, 663)(196, 664)(197, 665)(198, 666)(199, 667)(200, 668)(201, 669)(202, 670)(203, 671)(204, 672)(205, 673)(206, 674)(207, 675)(208, 676)(209, 679)(210, 680)(211, 683)(212, 684)(213, 644)(214, 643)(215, 696)(216, 695)(217, 648)(218, 647)(219, 693)(220, 694)(221, 678)(222, 677)(223, 682)(224, 681)(225, 686)(226, 685)(227, 688)(228, 687)(229, 690)(230, 689)(231, 692)(232, 691)(233, 697)(234, 698)(235, 699)(236, 700)(237, 701)(238, 702)(239, 703)(240, 704)(241, 705)(242, 706)(243, 707)(244, 708)(245, 709)(246, 710)(247, 711)(248, 712)(249, 713)(250, 714)(251, 715)(252, 716)(253, 717)(254, 718)(255, 719)(256, 720)(257, 721)(258, 722)(259, 723)(260, 724)(261, 725)(262, 726)(263, 727)(264, 728)(265, 729)(266, 730)(267, 731)(268, 732)(269, 733)(270, 734)(271, 735)(272, 736)(273, 737)(274, 738)(275, 739)(276, 740)(277, 741)(278, 742)(279, 743)(280, 744)(281, 745)(282, 746)(283, 747)(284, 748)(285, 749)(286, 750)(287, 751)(288, 752)(289, 753)(290, 754)(291, 755)(292, 756)(293, 757)(294, 758)(295, 759)(296, 760)(297, 761)(298, 762)(299, 763)(300, 764)(301, 765)(302, 766)(303, 767)(304, 768)(305, 769)(306, 770)(307, 771)(308, 772)(309, 773)(310, 774)(311, 775)(312, 776)(313, 777)(314, 778)(315, 779)(316, 780)(317, 781)(318, 782)(319, 783)(320, 784)(321, 785)(322, 786)(323, 787)(324, 788)(325, 789)(326, 790)(327, 791)(328, 792)(329, 793)(330, 794)(331, 795)(332, 796)(333, 797)(334, 798)(335, 799)(336, 800)(337, 801)(338, 802)(339, 803)(340, 804)(341, 805)(342, 806)(343, 807)(344, 808)(345, 809)(346, 810)(347, 811)(348, 812)(349, 813)(350, 814)(351, 815)(352, 816)(353, 817)(354, 818)(355, 819)(356, 820)(357, 821)(358, 822)(359, 823)(360, 824)(361, 825)(362, 826)(363, 827)(364, 828)(365, 829)(366, 830)(367, 831)(368, 832)(369, 833)(370, 834)(371, 835)(372, 836)(373, 837)(374, 838)(375, 839)(376, 840)(377, 841)(378, 842)(379, 843)(380, 844)(381, 845)(382, 846)(383, 847)(384, 848)(385, 849)(386, 850)(387, 851)(388, 852)(389, 853)(390, 854)(391, 855)(392, 856)(393, 857)(394, 858)(395, 859)(396, 860)(397, 861)(398, 862)(399, 863)(400, 864)(401, 865)(402, 866)(403, 867)(404, 868)(405, 869)(406, 870)(407, 871)(408, 872)(409, 873)(410, 874)(411, 875)(412, 876)(413, 877)(414, 878)(415, 879)(416, 880)(417, 881)(418, 882)(419, 883)(420, 884)(421, 885)(422, 886)(423, 887)(424, 888)(425, 889)(426, 890)(427, 891)(428, 892)(429, 893)(430, 894)(431, 895)(432, 896)(433, 897)(434, 898)(435, 899)(436, 900)(437, 901)(438, 902)(439, 903)(440, 904)(441, 905)(442, 906)(443, 907)(444, 908)(445, 909)(446, 910)(447, 911)(448, 912)(449, 913)(450, 914)(451, 915)(452, 916)(453, 917)(454, 918)(455, 919)(456, 920)(457, 921)(458, 922)(459, 923)(460, 924)(461, 925)(462, 926)(463, 927)(464, 928)
	local type(s) :: { ( 8, 116 ), ( 8, 116, 8, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.3167
Graph:: simple bipartite
	v = 348 e = 464 f = 62
	degree seq :: [ 2^232, 4^116 ]

E28.3169 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 58})
Quotient :: dipole
Aut^+ = (C58 x C2) : C2 (small group id <232, 8>)
Aut   = D8 x D58 (small group id <464, 39>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^-2 * Y3^-1 * Y1^-2, (Y3^-1 * Y1)^4, Y1^58 ]
Map:: polytopal
	R = (1, 233, 2, 234, 5, 237, 11, 243, 20, 252, 29, 261, 37, 269, 45, 277, 53, 285, 61, 293, 105, 337, 118, 350, 127, 359, 138, 370, 149, 381, 157, 389, 165, 397, 173, 405, 182, 414, 202, 434, 181, 413, 196, 428, 206, 438, 217, 449, 228, 460, 216, 448, 205, 437, 195, 427, 192, 424, 190, 422, 180, 412, 172, 404, 164, 396, 156, 388, 148, 380, 137, 369, 126, 358, 117, 349, 114, 346, 112, 344, 104, 336, 100, 332, 96, 328, 92, 324, 88, 320, 82, 314, 76, 308, 71, 303, 69, 301, 68, 300, 60, 292, 52, 284, 44, 276, 36, 268, 28, 260, 19, 251, 10, 242, 4, 236)(3, 235, 7, 239, 15, 247, 25, 257, 33, 265, 41, 273, 49, 281, 57, 289, 65, 297, 109, 341, 113, 345, 133, 365, 125, 357, 153, 385, 147, 379, 169, 401, 163, 395, 187, 419, 179, 411, 186, 418, 191, 423, 212, 444, 204, 436, 231, 463, 227, 459, 220, 452, 207, 439, 201, 433, 193, 425, 199, 431, 183, 415, 176, 408, 166, 398, 160, 392, 150, 382, 141, 373, 128, 360, 123, 355, 115, 347, 121, 353, 106, 338, 102, 334, 97, 329, 94, 326, 89, 321, 84, 316, 77, 309, 74, 306, 70, 302, 73, 305, 62, 294, 55, 287, 46, 278, 39, 271, 30, 262, 22, 254, 12, 244, 8, 240)(6, 238, 13, 245, 9, 241, 18, 250, 27, 259, 35, 267, 43, 275, 51, 283, 59, 291, 67, 299, 111, 343, 142, 374, 116, 348, 145, 377, 136, 368, 161, 393, 155, 387, 177, 409, 171, 403, 223, 455, 189, 421, 221, 453, 194, 426, 225, 457, 215, 447, 230, 462, 218, 450, 211, 443, 197, 429, 209, 441, 203, 435, 185, 417, 174, 406, 168, 400, 158, 390, 152, 384, 139, 371, 132, 364, 119, 351, 130, 362, 124, 356, 108, 340, 101, 333, 98, 330, 93, 325, 90, 322, 83, 315, 79, 311, 72, 304, 78, 310, 75, 307, 63, 295, 54, 286, 47, 279, 38, 270, 31, 263, 21, 253, 14, 246)(16, 248, 23, 255, 17, 249, 24, 256, 32, 264, 40, 272, 48, 280, 56, 288, 64, 296, 107, 339, 120, 352, 129, 361, 122, 354, 131, 363, 140, 372, 151, 383, 159, 391, 167, 399, 175, 407, 184, 416, 198, 430, 208, 440, 200, 432, 210, 442, 219, 451, 229, 461, 232, 464, 226, 458, 213, 445, 222, 454, 214, 446, 224, 456, 188, 420, 178, 410, 170, 402, 162, 394, 154, 386, 146, 378, 134, 366, 143, 375, 135, 367, 144, 376, 110, 342, 103, 335, 99, 331, 95, 327, 91, 323, 87, 319, 80, 312, 85, 317, 81, 313, 86, 318, 66, 298, 58, 290, 50, 282, 42, 274, 34, 266, 26, 258)(465, 697)(466, 698)(467, 699)(468, 700)(469, 701)(470, 702)(471, 703)(472, 704)(473, 705)(474, 706)(475, 707)(476, 708)(477, 709)(478, 710)(479, 711)(480, 712)(481, 713)(482, 714)(483, 715)(484, 716)(485, 717)(486, 718)(487, 719)(488, 720)(489, 721)(490, 722)(491, 723)(492, 724)(493, 725)(494, 726)(495, 727)(496, 728)(497, 729)(498, 730)(499, 731)(500, 732)(501, 733)(502, 734)(503, 735)(504, 736)(505, 737)(506, 738)(507, 739)(508, 740)(509, 741)(510, 742)(511, 743)(512, 744)(513, 745)(514, 746)(515, 747)(516, 748)(517, 749)(518, 750)(519, 751)(520, 752)(521, 753)(522, 754)(523, 755)(524, 756)(525, 757)(526, 758)(527, 759)(528, 760)(529, 761)(530, 762)(531, 763)(532, 764)(533, 765)(534, 766)(535, 767)(536, 768)(537, 769)(538, 770)(539, 771)(540, 772)(541, 773)(542, 774)(543, 775)(544, 776)(545, 777)(546, 778)(547, 779)(548, 780)(549, 781)(550, 782)(551, 783)(552, 784)(553, 785)(554, 786)(555, 787)(556, 788)(557, 789)(558, 790)(559, 791)(560, 792)(561, 793)(562, 794)(563, 795)(564, 796)(565, 797)(566, 798)(567, 799)(568, 800)(569, 801)(570, 802)(571, 803)(572, 804)(573, 805)(574, 806)(575, 807)(576, 808)(577, 809)(578, 810)(579, 811)(580, 812)(581, 813)(582, 814)(583, 815)(584, 816)(585, 817)(586, 818)(587, 819)(588, 820)(589, 821)(590, 822)(591, 823)(592, 824)(593, 825)(594, 826)(595, 827)(596, 828)(597, 829)(598, 830)(599, 831)(600, 832)(601, 833)(602, 834)(603, 835)(604, 836)(605, 837)(606, 838)(607, 839)(608, 840)(609, 841)(610, 842)(611, 843)(612, 844)(613, 845)(614, 846)(615, 847)(616, 848)(617, 849)(618, 850)(619, 851)(620, 852)(621, 853)(622, 854)(623, 855)(624, 856)(625, 857)(626, 858)(627, 859)(628, 860)(629, 861)(630, 862)(631, 863)(632, 864)(633, 865)(634, 866)(635, 867)(636, 868)(637, 869)(638, 870)(639, 871)(640, 872)(641, 873)(642, 874)(643, 875)(644, 876)(645, 877)(646, 878)(647, 879)(648, 880)(649, 881)(650, 882)(651, 883)(652, 884)(653, 885)(654, 886)(655, 887)(656, 888)(657, 889)(658, 890)(659, 891)(660, 892)(661, 893)(662, 894)(663, 895)(664, 896)(665, 897)(666, 898)(667, 899)(668, 900)(669, 901)(670, 902)(671, 903)(672, 904)(673, 905)(674, 906)(675, 907)(676, 908)(677, 909)(678, 910)(679, 911)(680, 912)(681, 913)(682, 914)(683, 915)(684, 916)(685, 917)(686, 918)(687, 919)(688, 920)(689, 921)(690, 922)(691, 923)(692, 924)(693, 925)(694, 926)(695, 927)(696, 928)
	L = (1, 467)(2, 470)(3, 465)(4, 473)(5, 476)(6, 466)(7, 480)(8, 481)(9, 468)(10, 479)(11, 485)(12, 469)(13, 487)(14, 488)(15, 474)(16, 471)(17, 472)(18, 490)(19, 491)(20, 494)(21, 475)(22, 496)(23, 477)(24, 478)(25, 498)(26, 482)(27, 483)(28, 497)(29, 502)(30, 484)(31, 504)(32, 486)(33, 492)(34, 489)(35, 506)(36, 507)(37, 510)(38, 493)(39, 512)(40, 495)(41, 514)(42, 499)(43, 500)(44, 513)(45, 518)(46, 501)(47, 520)(48, 503)(49, 508)(50, 505)(51, 522)(52, 523)(53, 526)(54, 509)(55, 528)(56, 511)(57, 530)(58, 515)(59, 516)(60, 529)(61, 539)(62, 517)(63, 571)(64, 519)(65, 524)(66, 521)(67, 550)(68, 575)(69, 577)(70, 569)(71, 580)(72, 582)(73, 584)(74, 586)(75, 525)(76, 589)(77, 591)(78, 593)(79, 595)(80, 597)(81, 573)(82, 600)(83, 602)(84, 604)(85, 606)(86, 531)(87, 609)(88, 611)(89, 613)(90, 615)(91, 617)(92, 619)(93, 621)(94, 623)(95, 625)(96, 627)(97, 629)(98, 631)(99, 633)(100, 635)(101, 637)(102, 639)(103, 641)(104, 643)(105, 534)(106, 646)(107, 527)(108, 648)(109, 545)(110, 651)(111, 532)(112, 653)(113, 533)(114, 655)(115, 645)(116, 535)(117, 658)(118, 536)(119, 660)(120, 537)(121, 662)(122, 538)(123, 664)(124, 666)(125, 540)(126, 668)(127, 541)(128, 670)(129, 542)(130, 672)(131, 543)(132, 674)(133, 544)(134, 676)(135, 650)(136, 546)(137, 679)(138, 547)(139, 681)(140, 548)(141, 683)(142, 549)(143, 685)(144, 687)(145, 551)(146, 689)(147, 552)(148, 691)(149, 553)(150, 692)(151, 554)(152, 693)(153, 555)(154, 695)(155, 556)(156, 682)(157, 557)(158, 680)(159, 558)(160, 696)(161, 559)(162, 694)(163, 560)(164, 671)(165, 561)(166, 669)(167, 562)(168, 690)(169, 563)(170, 684)(171, 564)(172, 661)(173, 565)(174, 659)(175, 566)(176, 677)(177, 567)(178, 675)(179, 568)(180, 657)(181, 579)(182, 570)(183, 656)(184, 572)(185, 686)(186, 599)(187, 574)(188, 665)(189, 576)(190, 667)(191, 578)(192, 647)(193, 644)(194, 581)(195, 638)(196, 583)(197, 636)(198, 585)(199, 678)(200, 587)(201, 652)(202, 588)(203, 654)(204, 590)(205, 630)(206, 592)(207, 628)(208, 594)(209, 688)(210, 596)(211, 642)(212, 598)(213, 640)(214, 663)(215, 601)(216, 622)(217, 603)(218, 620)(219, 605)(220, 634)(221, 607)(222, 649)(223, 608)(224, 673)(225, 610)(226, 632)(227, 612)(228, 614)(229, 616)(230, 626)(231, 618)(232, 624)(233, 697)(234, 698)(235, 699)(236, 700)(237, 701)(238, 702)(239, 703)(240, 704)(241, 705)(242, 706)(243, 707)(244, 708)(245, 709)(246, 710)(247, 711)(248, 712)(249, 713)(250, 714)(251, 715)(252, 716)(253, 717)(254, 718)(255, 719)(256, 720)(257, 721)(258, 722)(259, 723)(260, 724)(261, 725)(262, 726)(263, 727)(264, 728)(265, 729)(266, 730)(267, 731)(268, 732)(269, 733)(270, 734)(271, 735)(272, 736)(273, 737)(274, 738)(275, 739)(276, 740)(277, 741)(278, 742)(279, 743)(280, 744)(281, 745)(282, 746)(283, 747)(284, 748)(285, 749)(286, 750)(287, 751)(288, 752)(289, 753)(290, 754)(291, 755)(292, 756)(293, 757)(294, 758)(295, 759)(296, 760)(297, 761)(298, 762)(299, 763)(300, 764)(301, 765)(302, 766)(303, 767)(304, 768)(305, 769)(306, 770)(307, 771)(308, 772)(309, 773)(310, 774)(311, 775)(312, 776)(313, 777)(314, 778)(315, 779)(316, 780)(317, 781)(318, 782)(319, 783)(320, 784)(321, 785)(322, 786)(323, 787)(324, 788)(325, 789)(326, 790)(327, 791)(328, 792)(329, 793)(330, 794)(331, 795)(332, 796)(333, 797)(334, 798)(335, 799)(336, 800)(337, 801)(338, 802)(339, 803)(340, 804)(341, 805)(342, 806)(343, 807)(344, 808)(345, 809)(346, 810)(347, 811)(348, 812)(349, 813)(350, 814)(351, 815)(352, 816)(353, 817)(354, 818)(355, 819)(356, 820)(357, 821)(358, 822)(359, 823)(360, 824)(361, 825)(362, 826)(363, 827)(364, 828)(365, 829)(366, 830)(367, 831)(368, 832)(369, 833)(370, 834)(371, 835)(372, 836)(373, 837)(374, 838)(375, 839)(376, 840)(377, 841)(378, 842)(379, 843)(380, 844)(381, 845)(382, 846)(383, 847)(384, 848)(385, 849)(386, 850)(387, 851)(388, 852)(389, 853)(390, 854)(391, 855)(392, 856)(393, 857)(394, 858)(395, 859)(396, 860)(397, 861)(398, 862)(399, 863)(400, 864)(401, 865)(402, 866)(403, 867)(404, 868)(405, 869)(406, 870)(407, 871)(408, 872)(409, 873)(410, 874)(411, 875)(412, 876)(413, 877)(414, 878)(415, 879)(416, 880)(417, 881)(418, 882)(419, 883)(420, 884)(421, 885)(422, 886)(423, 887)(424, 888)(425, 889)(426, 890)(427, 891)(428, 892)(429, 893)(430, 894)(431, 895)(432, 896)(433, 897)(434, 898)(435, 899)(436, 900)(437, 901)(438, 902)(439, 903)(440, 904)(441, 905)(442, 906)(443, 907)(444, 908)(445, 909)(446, 910)(447, 911)(448, 912)(449, 913)(450, 914)(451, 915)(452, 916)(453, 917)(454, 918)(455, 919)(456, 920)(457, 921)(458, 922)(459, 923)(460, 924)(461, 925)(462, 926)(463, 927)(464, 928)
	local type(s) :: { ( 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.3166
Graph:: simple bipartite
	v = 236 e = 464 f = 174
	degree seq :: [ 2^232, 116^4 ]

E28.3170 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 58})
Quotient :: dipole
Aut^+ = (C58 x C2) : C2 (small group id <232, 8>)
Aut   = D8 x D58 (small group id <464, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1 * Y2^-1)^2, (Y3 * Y2^-1)^4, Y2^58 ]
Map::
	R = (1, 233, 2, 234)(3, 235, 7, 239)(4, 236, 9, 241)(5, 237, 11, 243)(6, 238, 13, 245)(8, 240, 14, 246)(10, 242, 12, 244)(15, 247, 20, 252)(16, 248, 23, 255)(17, 249, 25, 257)(18, 250, 21, 253)(19, 251, 27, 259)(22, 254, 29, 261)(24, 256, 31, 263)(26, 258, 32, 264)(28, 260, 30, 262)(33, 265, 39, 271)(34, 266, 41, 273)(35, 267, 37, 269)(36, 268, 43, 275)(38, 270, 45, 277)(40, 272, 47, 279)(42, 274, 48, 280)(44, 276, 46, 278)(49, 281, 55, 287)(50, 282, 57, 289)(51, 283, 53, 285)(52, 284, 59, 291)(54, 286, 61, 293)(56, 288, 63, 295)(58, 290, 64, 296)(60, 292, 62, 294)(65, 297, 71, 303)(66, 298, 104, 336)(67, 299, 105, 337)(68, 300, 80, 312)(69, 301, 107, 339)(70, 302, 108, 340)(72, 304, 109, 341)(73, 305, 110, 342)(74, 306, 111, 343)(75, 307, 112, 344)(76, 308, 113, 345)(77, 309, 114, 346)(78, 310, 115, 347)(79, 311, 116, 348)(81, 313, 117, 349)(82, 314, 118, 350)(83, 315, 119, 351)(84, 316, 120, 352)(85, 317, 121, 353)(86, 318, 122, 354)(87, 319, 123, 355)(88, 320, 124, 356)(89, 321, 125, 357)(90, 322, 126, 358)(91, 323, 127, 359)(92, 324, 128, 360)(93, 325, 129, 361)(94, 326, 130, 362)(95, 327, 131, 363)(96, 328, 132, 364)(97, 329, 134, 366)(98, 330, 135, 367)(99, 331, 136, 368)(100, 332, 137, 369)(101, 333, 139, 371)(102, 334, 140, 372)(103, 335, 142, 374)(106, 338, 144, 376)(133, 365, 171, 403)(138, 370, 176, 408)(141, 373, 180, 412)(143, 375, 178, 410)(145, 377, 184, 416)(146, 378, 182, 414)(147, 379, 185, 417)(148, 380, 186, 418)(149, 381, 187, 419)(150, 382, 188, 420)(151, 383, 189, 421)(152, 384, 190, 422)(153, 385, 191, 423)(154, 386, 192, 424)(155, 387, 193, 425)(156, 388, 194, 426)(157, 389, 195, 427)(158, 390, 196, 428)(159, 391, 197, 429)(160, 392, 198, 430)(161, 393, 199, 431)(162, 394, 200, 432)(163, 395, 201, 433)(164, 396, 202, 434)(165, 397, 203, 435)(166, 398, 204, 436)(167, 399, 205, 437)(168, 400, 206, 438)(169, 401, 207, 439)(170, 402, 208, 440)(172, 404, 209, 441)(173, 405, 210, 442)(174, 406, 211, 443)(175, 407, 212, 444)(177, 409, 213, 445)(179, 411, 216, 448)(181, 413, 217, 449)(183, 415, 220, 452)(214, 446, 232, 464)(215, 447, 231, 463)(218, 450, 229, 461)(219, 451, 230, 462)(221, 453, 227, 459)(222, 454, 228, 460)(223, 455, 226, 458)(224, 456, 225, 457)(465, 697, 467, 699, 472, 704, 481, 713, 490, 722, 498, 730, 506, 738, 514, 746, 522, 754, 530, 762, 537, 769, 540, 772, 547, 779, 550, 782, 555, 787, 558, 790, 563, 795, 566, 798, 605, 837, 612, 844, 615, 847, 620, 852, 623, 855, 628, 860, 631, 863, 637, 869, 641, 873, 678, 910, 686, 918, 689, 921, 694, 926, 681, 913, 675, 907, 671, 903, 667, 899, 663, 895, 659, 891, 655, 887, 651, 883, 648, 880, 640, 872, 635, 867, 603, 835, 598, 830, 593, 825, 589, 821, 585, 817, 581, 813, 576, 808, 532, 764, 524, 756, 516, 748, 508, 740, 500, 732, 492, 724, 483, 715, 474, 706, 468, 700)(466, 698, 469, 701, 476, 708, 486, 718, 494, 726, 502, 734, 510, 742, 518, 750, 526, 758, 533, 765, 539, 771, 538, 770, 549, 781, 548, 780, 557, 789, 556, 788, 565, 797, 564, 796, 602, 834, 610, 842, 613, 845, 618, 850, 621, 853, 626, 858, 629, 861, 634, 866, 638, 870, 647, 879, 683, 915, 687, 919, 692, 924, 695, 927, 677, 909, 673, 905, 669, 901, 665, 897, 661, 893, 657, 889, 653, 885, 649, 881, 644, 876, 606, 838, 600, 832, 595, 827, 591, 823, 587, 819, 583, 815, 579, 811, 574, 806, 578, 810, 528, 760, 520, 752, 512, 744, 504, 736, 496, 728, 488, 720, 478, 710, 470, 702)(471, 703, 479, 711, 473, 705, 482, 714, 491, 723, 499, 731, 507, 739, 515, 747, 523, 755, 531, 763, 544, 776, 534, 766, 545, 777, 543, 775, 553, 785, 552, 784, 561, 793, 560, 792, 597, 829, 570, 802, 609, 841, 614, 846, 617, 849, 622, 854, 625, 857, 630, 862, 633, 865, 639, 871, 645, 877, 682, 914, 688, 920, 691, 923, 696, 928, 680, 912, 674, 906, 670, 902, 666, 898, 662, 894, 658, 890, 654, 886, 650, 882, 642, 874, 604, 836, 599, 831, 594, 826, 590, 822, 586, 818, 582, 814, 577, 809, 573, 805, 568, 800, 529, 761, 521, 753, 513, 745, 505, 737, 497, 729, 489, 721, 480, 712)(475, 707, 484, 716, 477, 709, 487, 719, 495, 727, 503, 735, 511, 743, 519, 751, 527, 759, 535, 767, 541, 773, 536, 768, 542, 774, 546, 778, 551, 783, 554, 786, 559, 791, 562, 794, 567, 799, 607, 839, 611, 843, 616, 848, 619, 851, 624, 856, 627, 859, 632, 864, 636, 868, 643, 875, 679, 911, 685, 917, 690, 922, 693, 925, 684, 916, 676, 908, 672, 904, 668, 900, 664, 896, 660, 892, 656, 888, 652, 884, 646, 878, 608, 840, 601, 833, 596, 828, 592, 824, 588, 820, 584, 816, 580, 812, 575, 807, 572, 804, 571, 803, 569, 801, 525, 757, 517, 749, 509, 741, 501, 733, 493, 725, 485, 717)
	L = (1, 466)(2, 465)(3, 471)(4, 473)(5, 475)(6, 477)(7, 467)(8, 478)(9, 468)(10, 476)(11, 469)(12, 474)(13, 470)(14, 472)(15, 484)(16, 487)(17, 489)(18, 485)(19, 491)(20, 479)(21, 482)(22, 493)(23, 480)(24, 495)(25, 481)(26, 496)(27, 483)(28, 494)(29, 486)(30, 492)(31, 488)(32, 490)(33, 503)(34, 505)(35, 501)(36, 507)(37, 499)(38, 509)(39, 497)(40, 511)(41, 498)(42, 512)(43, 500)(44, 510)(45, 502)(46, 508)(47, 504)(48, 506)(49, 519)(50, 521)(51, 517)(52, 523)(53, 515)(54, 525)(55, 513)(56, 527)(57, 514)(58, 528)(59, 516)(60, 526)(61, 518)(62, 524)(63, 520)(64, 522)(65, 535)(66, 568)(67, 569)(68, 544)(69, 571)(70, 572)(71, 529)(72, 573)(73, 574)(74, 575)(75, 576)(76, 577)(77, 578)(78, 579)(79, 580)(80, 532)(81, 581)(82, 582)(83, 583)(84, 584)(85, 585)(86, 586)(87, 587)(88, 588)(89, 589)(90, 590)(91, 591)(92, 592)(93, 593)(94, 594)(95, 595)(96, 596)(97, 598)(98, 599)(99, 600)(100, 601)(101, 603)(102, 604)(103, 606)(104, 530)(105, 531)(106, 608)(107, 533)(108, 534)(109, 536)(110, 537)(111, 538)(112, 539)(113, 540)(114, 541)(115, 542)(116, 543)(117, 545)(118, 546)(119, 547)(120, 548)(121, 549)(122, 550)(123, 551)(124, 552)(125, 553)(126, 554)(127, 555)(128, 556)(129, 557)(130, 558)(131, 559)(132, 560)(133, 635)(134, 561)(135, 562)(136, 563)(137, 564)(138, 640)(139, 565)(140, 566)(141, 644)(142, 567)(143, 642)(144, 570)(145, 648)(146, 646)(147, 649)(148, 650)(149, 651)(150, 652)(151, 653)(152, 654)(153, 655)(154, 656)(155, 657)(156, 658)(157, 659)(158, 660)(159, 661)(160, 662)(161, 663)(162, 664)(163, 665)(164, 666)(165, 667)(166, 668)(167, 669)(168, 670)(169, 671)(170, 672)(171, 597)(172, 673)(173, 674)(174, 675)(175, 676)(176, 602)(177, 677)(178, 607)(179, 680)(180, 605)(181, 681)(182, 610)(183, 684)(184, 609)(185, 611)(186, 612)(187, 613)(188, 614)(189, 615)(190, 616)(191, 617)(192, 618)(193, 619)(194, 620)(195, 621)(196, 622)(197, 623)(198, 624)(199, 625)(200, 626)(201, 627)(202, 628)(203, 629)(204, 630)(205, 631)(206, 632)(207, 633)(208, 634)(209, 636)(210, 637)(211, 638)(212, 639)(213, 641)(214, 696)(215, 695)(216, 643)(217, 645)(218, 693)(219, 694)(220, 647)(221, 691)(222, 692)(223, 690)(224, 689)(225, 688)(226, 687)(227, 685)(228, 686)(229, 682)(230, 683)(231, 679)(232, 678)(233, 697)(234, 698)(235, 699)(236, 700)(237, 701)(238, 702)(239, 703)(240, 704)(241, 705)(242, 706)(243, 707)(244, 708)(245, 709)(246, 710)(247, 711)(248, 712)(249, 713)(250, 714)(251, 715)(252, 716)(253, 717)(254, 718)(255, 719)(256, 720)(257, 721)(258, 722)(259, 723)(260, 724)(261, 725)(262, 726)(263, 727)(264, 728)(265, 729)(266, 730)(267, 731)(268, 732)(269, 733)(270, 734)(271, 735)(272, 736)(273, 737)(274, 738)(275, 739)(276, 740)(277, 741)(278, 742)(279, 743)(280, 744)(281, 745)(282, 746)(283, 747)(284, 748)(285, 749)(286, 750)(287, 751)(288, 752)(289, 753)(290, 754)(291, 755)(292, 756)(293, 757)(294, 758)(295, 759)(296, 760)(297, 761)(298, 762)(299, 763)(300, 764)(301, 765)(302, 766)(303, 767)(304, 768)(305, 769)(306, 770)(307, 771)(308, 772)(309, 773)(310, 774)(311, 775)(312, 776)(313, 777)(314, 778)(315, 779)(316, 780)(317, 781)(318, 782)(319, 783)(320, 784)(321, 785)(322, 786)(323, 787)(324, 788)(325, 789)(326, 790)(327, 791)(328, 792)(329, 793)(330, 794)(331, 795)(332, 796)(333, 797)(334, 798)(335, 799)(336, 800)(337, 801)(338, 802)(339, 803)(340, 804)(341, 805)(342, 806)(343, 807)(344, 808)(345, 809)(346, 810)(347, 811)(348, 812)(349, 813)(350, 814)(351, 815)(352, 816)(353, 817)(354, 818)(355, 819)(356, 820)(357, 821)(358, 822)(359, 823)(360, 824)(361, 825)(362, 826)(363, 827)(364, 828)(365, 829)(366, 830)(367, 831)(368, 832)(369, 833)(370, 834)(371, 835)(372, 836)(373, 837)(374, 838)(375, 839)(376, 840)(377, 841)(378, 842)(379, 843)(380, 844)(381, 845)(382, 846)(383, 847)(384, 848)(385, 849)(386, 850)(387, 851)(388, 852)(389, 853)(390, 854)(391, 855)(392, 856)(393, 857)(394, 858)(395, 859)(396, 860)(397, 861)(398, 862)(399, 863)(400, 864)(401, 865)(402, 866)(403, 867)(404, 868)(405, 869)(406, 870)(407, 871)(408, 872)(409, 873)(410, 874)(411, 875)(412, 876)(413, 877)(414, 878)(415, 879)(416, 880)(417, 881)(418, 882)(419, 883)(420, 884)(421, 885)(422, 886)(423, 887)(424, 888)(425, 889)(426, 890)(427, 891)(428, 892)(429, 893)(430, 894)(431, 895)(432, 896)(433, 897)(434, 898)(435, 899)(436, 900)(437, 901)(438, 902)(439, 903)(440, 904)(441, 905)(442, 906)(443, 907)(444, 908)(445, 909)(446, 910)(447, 911)(448, 912)(449, 913)(450, 914)(451, 915)(452, 916)(453, 917)(454, 918)(455, 919)(456, 920)(457, 921)(458, 922)(459, 923)(460, 924)(461, 925)(462, 926)(463, 927)(464, 928)
	local type(s) :: { ( 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.3171
Graph:: bipartite
	v = 120 e = 464 f = 290
	degree seq :: [ 4^116, 116^4 ]

E28.3171 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 58})
Quotient :: dipole
Aut^+ = (C58 x C2) : C2 (small group id <232, 8>)
Aut   = D8 x D58 (small group id <464, 39>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, Y1^4, (Y3 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^58 ]
Map:: polytopal
	R = (1, 233, 2, 234, 6, 238, 4, 236)(3, 235, 9, 241, 13, 245, 8, 240)(5, 237, 11, 243, 14, 246, 7, 239)(10, 242, 16, 248, 21, 253, 17, 249)(12, 244, 15, 247, 22, 254, 19, 251)(18, 250, 25, 257, 29, 261, 24, 256)(20, 252, 27, 259, 30, 262, 23, 255)(26, 258, 32, 264, 37, 269, 33, 265)(28, 260, 31, 263, 38, 270, 35, 267)(34, 266, 41, 273, 45, 277, 40, 272)(36, 268, 43, 275, 46, 278, 39, 271)(42, 274, 48, 280, 53, 285, 49, 281)(44, 276, 47, 279, 54, 286, 51, 283)(50, 282, 57, 289, 61, 293, 56, 288)(52, 284, 59, 291, 62, 294, 55, 287)(58, 290, 64, 296, 113, 345, 65, 297)(60, 292, 63, 295, 98, 330, 67, 299)(66, 298, 96, 328, 142, 374, 88, 320)(68, 300, 119, 351, 92, 324, 115, 347)(69, 301, 121, 353, 74, 306, 122, 354)(70, 302, 123, 355, 72, 304, 124, 356)(71, 303, 125, 357, 81, 313, 126, 358)(73, 305, 127, 359, 82, 314, 128, 360)(75, 307, 129, 361, 79, 311, 130, 362)(76, 308, 131, 363, 77, 309, 132, 364)(78, 310, 133, 365, 89, 321, 134, 366)(80, 312, 117, 349, 90, 322, 135, 367)(83, 315, 136, 368, 87, 319, 137, 369)(84, 316, 138, 370, 85, 317, 139, 371)(86, 318, 140, 372, 95, 327, 141, 373)(91, 323, 143, 375, 94, 326, 144, 376)(93, 325, 145, 377, 101, 333, 146, 378)(97, 329, 147, 379, 100, 332, 148, 380)(99, 331, 149, 381, 105, 337, 150, 382)(102, 334, 151, 383, 104, 336, 152, 384)(103, 335, 153, 385, 109, 341, 154, 386)(106, 338, 155, 387, 108, 340, 156, 388)(107, 339, 157, 389, 114, 346, 158, 390)(110, 342, 160, 392, 112, 344, 161, 393)(111, 343, 162, 394, 159, 391, 163, 395)(116, 348, 167, 399, 120, 352, 168, 400)(118, 350, 171, 403, 164, 396, 172, 404)(165, 397, 213, 445, 166, 398, 214, 446)(169, 401, 217, 449, 170, 402, 218, 450)(173, 405, 221, 453, 174, 406, 222, 454)(175, 407, 223, 455, 176, 408, 224, 456)(177, 409, 225, 457, 178, 410, 226, 458)(179, 411, 227, 459, 180, 412, 228, 460)(181, 413, 219, 451, 182, 414, 220, 452)(183, 415, 229, 461, 184, 416, 230, 462)(185, 417, 215, 447, 186, 418, 216, 448)(187, 419, 212, 444, 188, 420, 211, 443)(189, 421, 231, 463, 190, 422, 232, 464)(191, 423, 210, 442, 192, 424, 209, 441)(193, 425, 207, 439, 194, 426, 208, 440)(195, 427, 205, 437, 196, 428, 206, 438)(197, 429, 204, 436, 198, 430, 203, 435)(199, 431, 202, 434, 200, 432, 201, 433)(465, 697)(466, 698)(467, 699)(468, 700)(469, 701)(470, 702)(471, 703)(472, 704)(473, 705)(474, 706)(475, 707)(476, 708)(477, 709)(478, 710)(479, 711)(480, 712)(481, 713)(482, 714)(483, 715)(484, 716)(485, 717)(486, 718)(487, 719)(488, 720)(489, 721)(490, 722)(491, 723)(492, 724)(493, 725)(494, 726)(495, 727)(496, 728)(497, 729)(498, 730)(499, 731)(500, 732)(501, 733)(502, 734)(503, 735)(504, 736)(505, 737)(506, 738)(507, 739)(508, 740)(509, 741)(510, 742)(511, 743)(512, 744)(513, 745)(514, 746)(515, 747)(516, 748)(517, 749)(518, 750)(519, 751)(520, 752)(521, 753)(522, 754)(523, 755)(524, 756)(525, 757)(526, 758)(527, 759)(528, 760)(529, 761)(530, 762)(531, 763)(532, 764)(533, 765)(534, 766)(535, 767)(536, 768)(537, 769)(538, 770)(539, 771)(540, 772)(541, 773)(542, 774)(543, 775)(544, 776)(545, 777)(546, 778)(547, 779)(548, 780)(549, 781)(550, 782)(551, 783)(552, 784)(553, 785)(554, 786)(555, 787)(556, 788)(557, 789)(558, 790)(559, 791)(560, 792)(561, 793)(562, 794)(563, 795)(564, 796)(565, 797)(566, 798)(567, 799)(568, 800)(569, 801)(570, 802)(571, 803)(572, 804)(573, 805)(574, 806)(575, 807)(576, 808)(577, 809)(578, 810)(579, 811)(580, 812)(581, 813)(582, 814)(583, 815)(584, 816)(585, 817)(586, 818)(587, 819)(588, 820)(589, 821)(590, 822)(591, 823)(592, 824)(593, 825)(594, 826)(595, 827)(596, 828)(597, 829)(598, 830)(599, 831)(600, 832)(601, 833)(602, 834)(603, 835)(604, 836)(605, 837)(606, 838)(607, 839)(608, 840)(609, 841)(610, 842)(611, 843)(612, 844)(613, 845)(614, 846)(615, 847)(616, 848)(617, 849)(618, 850)(619, 851)(620, 852)(621, 853)(622, 854)(623, 855)(624, 856)(625, 857)(626, 858)(627, 859)(628, 860)(629, 861)(630, 862)(631, 863)(632, 864)(633, 865)(634, 866)(635, 867)(636, 868)(637, 869)(638, 870)(639, 871)(640, 872)(641, 873)(642, 874)(643, 875)(644, 876)(645, 877)(646, 878)(647, 879)(648, 880)(649, 881)(650, 882)(651, 883)(652, 884)(653, 885)(654, 886)(655, 887)(656, 888)(657, 889)(658, 890)(659, 891)(660, 892)(661, 893)(662, 894)(663, 895)(664, 896)(665, 897)(666, 898)(667, 899)(668, 900)(669, 901)(670, 902)(671, 903)(672, 904)(673, 905)(674, 906)(675, 907)(676, 908)(677, 909)(678, 910)(679, 911)(680, 912)(681, 913)(682, 914)(683, 915)(684, 916)(685, 917)(686, 918)(687, 919)(688, 920)(689, 921)(690, 922)(691, 923)(692, 924)(693, 925)(694, 926)(695, 927)(696, 928)
	L = (1, 467)(2, 471)(3, 474)(4, 475)(5, 465)(6, 477)(7, 479)(8, 466)(9, 468)(10, 482)(11, 483)(12, 469)(13, 485)(14, 470)(15, 487)(16, 472)(17, 473)(18, 490)(19, 491)(20, 476)(21, 493)(22, 478)(23, 495)(24, 480)(25, 481)(26, 498)(27, 499)(28, 484)(29, 501)(30, 486)(31, 503)(32, 488)(33, 489)(34, 506)(35, 507)(36, 492)(37, 509)(38, 494)(39, 511)(40, 496)(41, 497)(42, 514)(43, 515)(44, 500)(45, 517)(46, 502)(47, 519)(48, 504)(49, 505)(50, 522)(51, 523)(52, 508)(53, 525)(54, 510)(55, 527)(56, 512)(57, 513)(58, 530)(59, 531)(60, 516)(61, 577)(62, 518)(63, 579)(64, 520)(65, 521)(66, 581)(67, 583)(68, 524)(69, 546)(70, 541)(71, 538)(72, 540)(73, 554)(74, 537)(75, 536)(76, 549)(77, 548)(78, 545)(79, 534)(80, 560)(81, 533)(82, 544)(83, 543)(84, 532)(85, 556)(86, 553)(87, 539)(88, 528)(89, 535)(90, 552)(91, 551)(92, 562)(93, 559)(94, 547)(95, 542)(96, 529)(97, 558)(98, 526)(99, 565)(100, 555)(101, 550)(102, 564)(103, 569)(104, 561)(105, 557)(106, 568)(107, 573)(108, 566)(109, 563)(110, 572)(111, 578)(112, 570)(113, 606)(114, 567)(115, 602)(116, 576)(117, 591)(118, 623)(119, 603)(120, 574)(121, 589)(122, 590)(123, 593)(124, 594)(125, 597)(126, 598)(127, 585)(128, 586)(129, 600)(130, 601)(131, 587)(132, 588)(133, 604)(134, 605)(135, 592)(136, 607)(137, 608)(138, 595)(139, 596)(140, 609)(141, 610)(142, 599)(143, 611)(144, 612)(145, 613)(146, 614)(147, 615)(148, 616)(149, 617)(150, 618)(151, 619)(152, 620)(153, 621)(154, 622)(155, 624)(156, 625)(157, 626)(158, 627)(159, 571)(160, 631)(161, 632)(162, 635)(163, 636)(164, 575)(165, 584)(166, 580)(167, 677)(168, 678)(169, 628)(170, 582)(171, 681)(172, 682)(173, 644)(174, 643)(175, 648)(176, 647)(177, 638)(178, 637)(179, 634)(180, 633)(181, 640)(182, 639)(183, 654)(184, 653)(185, 642)(186, 641)(187, 646)(188, 645)(189, 630)(190, 629)(191, 650)(192, 649)(193, 652)(194, 651)(195, 656)(196, 655)(197, 658)(198, 657)(199, 660)(200, 659)(201, 662)(202, 661)(203, 664)(204, 663)(205, 666)(206, 665)(207, 668)(208, 667)(209, 670)(210, 669)(211, 672)(212, 671)(213, 695)(214, 696)(215, 674)(216, 673)(217, 691)(218, 692)(219, 676)(220, 675)(221, 689)(222, 690)(223, 683)(224, 684)(225, 679)(226, 680)(227, 685)(228, 686)(229, 687)(230, 688)(231, 693)(232, 694)(233, 697)(234, 698)(235, 699)(236, 700)(237, 701)(238, 702)(239, 703)(240, 704)(241, 705)(242, 706)(243, 707)(244, 708)(245, 709)(246, 710)(247, 711)(248, 712)(249, 713)(250, 714)(251, 715)(252, 716)(253, 717)(254, 718)(255, 719)(256, 720)(257, 721)(258, 722)(259, 723)(260, 724)(261, 725)(262, 726)(263, 727)(264, 728)(265, 729)(266, 730)(267, 731)(268, 732)(269, 733)(270, 734)(271, 735)(272, 736)(273, 737)(274, 738)(275, 739)(276, 740)(277, 741)(278, 742)(279, 743)(280, 744)(281, 745)(282, 746)(283, 747)(284, 748)(285, 749)(286, 750)(287, 751)(288, 752)(289, 753)(290, 754)(291, 755)(292, 756)(293, 757)(294, 758)(295, 759)(296, 760)(297, 761)(298, 762)(299, 763)(300, 764)(301, 765)(302, 766)(303, 767)(304, 768)(305, 769)(306, 770)(307, 771)(308, 772)(309, 773)(310, 774)(311, 775)(312, 776)(313, 777)(314, 778)(315, 779)(316, 780)(317, 781)(318, 782)(319, 783)(320, 784)(321, 785)(322, 786)(323, 787)(324, 788)(325, 789)(326, 790)(327, 791)(328, 792)(329, 793)(330, 794)(331, 795)(332, 796)(333, 797)(334, 798)(335, 799)(336, 800)(337, 801)(338, 802)(339, 803)(340, 804)(341, 805)(342, 806)(343, 807)(344, 808)(345, 809)(346, 810)(347, 811)(348, 812)(349, 813)(350, 814)(351, 815)(352, 816)(353, 817)(354, 818)(355, 819)(356, 820)(357, 821)(358, 822)(359, 823)(360, 824)(361, 825)(362, 826)(363, 827)(364, 828)(365, 829)(366, 830)(367, 831)(368, 832)(369, 833)(370, 834)(371, 835)(372, 836)(373, 837)(374, 838)(375, 839)(376, 840)(377, 841)(378, 842)(379, 843)(380, 844)(381, 845)(382, 846)(383, 847)(384, 848)(385, 849)(386, 850)(387, 851)(388, 852)(389, 853)(390, 854)(391, 855)(392, 856)(393, 857)(394, 858)(395, 859)(396, 860)(397, 861)(398, 862)(399, 863)(400, 864)(401, 865)(402, 866)(403, 867)(404, 868)(405, 869)(406, 870)(407, 871)(408, 872)(409, 873)(410, 874)(411, 875)(412, 876)(413, 877)(414, 878)(415, 879)(416, 880)(417, 881)(418, 882)(419, 883)(420, 884)(421, 885)(422, 886)(423, 887)(424, 888)(425, 889)(426, 890)(427, 891)(428, 892)(429, 893)(430, 894)(431, 895)(432, 896)(433, 897)(434, 898)(435, 899)(436, 900)(437, 901)(438, 902)(439, 903)(440, 904)(441, 905)(442, 906)(443, 907)(444, 908)(445, 909)(446, 910)(447, 911)(448, 912)(449, 913)(450, 914)(451, 915)(452, 916)(453, 917)(454, 918)(455, 919)(456, 920)(457, 921)(458, 922)(459, 923)(460, 924)(461, 925)(462, 926)(463, 927)(464, 928)
	local type(s) :: { ( 4, 116 ), ( 4, 116, 4, 116, 4, 116, 4, 116 ) }
Outer automorphisms :: reflexible
Dual of E28.3170
Graph:: simple bipartite
	v = 290 e = 464 f = 120
	degree seq :: [ 2^232, 8^58 ]

E28.3172 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 3, 9})
Quotient :: edge
Aut^+ = (C3 x ((C3 x C3) : C3)) : C3 (small group id <243, 3>)
Aut   = ((C3 x ((C3 x C3) : C3)) : C3) : C2 (small group id <486, 43>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, (T2^-1 * T1^-1)^3, T2^2 * T1 * T2^-3 * T1^-1 * T2, (T2 * T1^-1 * T2)^3, T2^9, T2^4 * T1 * T2 * T1 * T2^-2 * T1, (T2^-1, T1^-1)^3, T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 25, 58, 85, 39, 15, 5)(2, 6, 17, 42, 91, 106, 51, 21, 7)(4, 11, 30, 59, 119, 113, 76, 33, 12)(8, 22, 52, 108, 69, 84, 37, 55, 23)(10, 27, 63, 118, 146, 77, 38, 66, 28)(13, 34, 57, 24, 56, 115, 152, 81, 35)(14, 36, 61, 26, 60, 49, 88, 40, 16)(18, 44, 95, 122, 175, 99, 50, 98, 45)(19, 46, 90, 41, 89, 161, 181, 103, 47)(20, 48, 93, 43, 92, 74, 133, 67, 29)(31, 70, 137, 166, 215, 141, 75, 140, 71)(32, 72, 135, 68, 134, 188, 114, 145, 73)(53, 110, 185, 107, 144, 220, 156, 191, 111)(54, 112, 187, 109, 186, 129, 157, 123, 62)(64, 125, 199, 221, 241, 202, 130, 201, 126)(65, 127, 198, 124, 197, 148, 78, 147, 128)(79, 149, 195, 116, 194, 238, 193, 204, 150)(80, 151, 120, 117, 159, 86, 158, 153, 82)(83, 154, 173, 121, 167, 94, 87, 160, 155)(96, 169, 196, 225, 237, 192, 174, 233, 170)(97, 171, 190, 168, 232, 177, 100, 176, 172)(101, 178, 230, 162, 229, 243, 228, 234, 179)(102, 180, 164, 163, 206, 131, 205, 182, 104)(105, 183, 213, 165, 208, 136, 132, 203, 184)(138, 200, 231, 235, 242, 227, 214, 240, 210)(139, 211, 226, 209, 224, 217, 142, 216, 212)(143, 218, 239, 207, 223, 236, 189, 222, 219)(244, 245, 247)(246, 251, 253)(248, 256, 257)(249, 259, 261)(250, 262, 263)(252, 267, 269)(254, 272, 274)(255, 275, 265)(258, 280, 281)(260, 284, 286)(264, 292, 293)(266, 296, 297)(268, 285, 302)(270, 305, 307)(271, 308, 299)(273, 311, 312)(276, 317, 318)(277, 320, 321)(278, 322, 323)(279, 325, 326)(282, 294, 319)(283, 329, 330)(287, 337, 339)(288, 340, 332)(289, 342, 343)(290, 344, 345)(291, 347, 348)(295, 350, 352)(298, 356, 357)(300, 359, 360)(301, 351, 361)(303, 363, 364)(304, 365, 334)(306, 367, 324)(309, 372, 373)(310, 374, 375)(313, 379, 381)(314, 382, 377)(315, 384, 385)(316, 386, 387)(327, 399, 400)(328, 395, 331)(333, 405, 406)(335, 407, 408)(336, 409, 362)(338, 411, 346)(341, 416, 417)(349, 424, 376)(353, 431, 432)(354, 421, 433)(355, 414, 435)(358, 436, 401)(366, 419, 439)(368, 412, 443)(369, 426, 440)(370, 445, 446)(371, 423, 447)(378, 450, 434)(380, 452, 388)(383, 456, 457)(389, 430, 464)(390, 442, 451)(391, 425, 437)(392, 441, 449)(393, 422, 462)(394, 465, 455)(396, 466, 460)(397, 467, 453)(398, 468, 418)(402, 461, 469)(403, 454, 470)(404, 471, 448)(410, 459, 474)(413, 429, 475)(415, 463, 477)(420, 428, 472)(427, 478, 458)(438, 473, 482)(444, 476, 483)(479, 481, 486)(480, 485, 484)
	L = (1, 244)(2, 245)(3, 246)(4, 247)(5, 248)(6, 249)(7, 250)(8, 251)(9, 252)(10, 253)(11, 254)(12, 255)(13, 256)(14, 257)(15, 258)(16, 259)(17, 260)(18, 261)(19, 262)(20, 263)(21, 264)(22, 265)(23, 266)(24, 267)(25, 268)(26, 269)(27, 270)(28, 271)(29, 272)(30, 273)(31, 274)(32, 275)(33, 276)(34, 277)(35, 278)(36, 279)(37, 280)(38, 281)(39, 282)(40, 283)(41, 284)(42, 285)(43, 286)(44, 287)(45, 288)(46, 289)(47, 290)(48, 291)(49, 292)(50, 293)(51, 294)(52, 295)(53, 296)(54, 297)(55, 298)(56, 299)(57, 300)(58, 301)(59, 302)(60, 303)(61, 304)(62, 305)(63, 306)(64, 307)(65, 308)(66, 309)(67, 310)(68, 311)(69, 312)(70, 313)(71, 314)(72, 315)(73, 316)(74, 317)(75, 318)(76, 319)(77, 320)(78, 321)(79, 322)(80, 323)(81, 324)(82, 325)(83, 326)(84, 327)(85, 328)(86, 329)(87, 330)(88, 331)(89, 332)(90, 333)(91, 334)(92, 335)(93, 336)(94, 337)(95, 338)(96, 339)(97, 340)(98, 341)(99, 342)(100, 343)(101, 344)(102, 345)(103, 346)(104, 347)(105, 348)(106, 349)(107, 350)(108, 351)(109, 352)(110, 353)(111, 354)(112, 355)(113, 356)(114, 357)(115, 358)(116, 359)(117, 360)(118, 361)(119, 362)(120, 363)(121, 364)(122, 365)(123, 366)(124, 367)(125, 368)(126, 369)(127, 370)(128, 371)(129, 372)(130, 373)(131, 374)(132, 375)(133, 376)(134, 377)(135, 378)(136, 379)(137, 380)(138, 381)(139, 382)(140, 383)(141, 384)(142, 385)(143, 386)(144, 387)(145, 388)(146, 389)(147, 390)(148, 391)(149, 392)(150, 393)(151, 394)(152, 395)(153, 396)(154, 397)(155, 398)(156, 399)(157, 400)(158, 401)(159, 402)(160, 403)(161, 404)(162, 405)(163, 406)(164, 407)(165, 408)(166, 409)(167, 410)(168, 411)(169, 412)(170, 413)(171, 414)(172, 415)(173, 416)(174, 417)(175, 418)(176, 419)(177, 420)(178, 421)(179, 422)(180, 423)(181, 424)(182, 425)(183, 426)(184, 427)(185, 428)(186, 429)(187, 430)(188, 431)(189, 432)(190, 433)(191, 434)(192, 435)(193, 436)(194, 437)(195, 438)(196, 439)(197, 440)(198, 441)(199, 442)(200, 443)(201, 444)(202, 445)(203, 446)(204, 447)(205, 448)(206, 449)(207, 450)(208, 451)(209, 452)(210, 453)(211, 454)(212, 455)(213, 456)(214, 457)(215, 458)(216, 459)(217, 460)(218, 461)(219, 462)(220, 463)(221, 464)(222, 465)(223, 466)(224, 467)(225, 468)(226, 469)(227, 470)(228, 471)(229, 472)(230, 473)(231, 474)(232, 475)(233, 476)(234, 477)(235, 478)(236, 479)(237, 480)(238, 481)(239, 482)(240, 483)(241, 484)(242, 485)(243, 486)
	local type(s) :: { ( 6^3 ), ( 6^9 ) }
Outer automorphisms :: reflexible
Dual of E28.3173
Transitivity :: ET+
Graph:: simple bipartite
	v = 108 e = 243 f = 81
	degree seq :: [ 3^81, 9^27 ]

E28.3173 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 3, 9})
Quotient :: loop
Aut^+ = (C3 x ((C3 x C3) : C3)) : C3 (small group id <243, 3>)
Aut   = ((C3 x ((C3 x C3) : C3)) : C3) : C2 (small group id <486, 43>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^3, (F * T1)^2, (F * T2)^2, T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-1, T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1 * T2 * T1^-1, (T2 * T1^-1 * T2^-1 * T1^-1)^3, (T2, T1^-1)^3, (T2^-1 * T1 * T2^-1 * T1^-1)^3, T2^-1 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T1^-1 * T2^-1)^9 ]
Map:: polytopal non-degenerate
	R = (1, 244, 3, 246, 5, 248)(2, 245, 6, 249, 7, 250)(4, 247, 10, 253, 11, 254)(8, 251, 18, 261, 19, 262)(9, 252, 20, 263, 21, 264)(12, 255, 26, 269, 27, 270)(13, 256, 28, 271, 29, 272)(14, 257, 30, 273, 31, 274)(15, 258, 32, 275, 33, 276)(16, 259, 34, 277, 35, 278)(17, 260, 36, 279, 37, 280)(22, 265, 46, 289, 47, 290)(23, 266, 48, 291, 49, 292)(24, 267, 50, 293, 51, 294)(25, 268, 52, 295, 53, 296)(38, 281, 78, 321, 79, 322)(39, 282, 80, 323, 81, 324)(40, 283, 82, 325, 83, 326)(41, 284, 84, 327, 85, 328)(42, 285, 86, 329, 87, 330)(43, 286, 88, 331, 89, 332)(44, 287, 90, 333, 91, 334)(45, 288, 92, 335, 93, 336)(54, 297, 110, 353, 111, 354)(55, 298, 112, 355, 113, 356)(56, 299, 114, 357, 115, 358)(57, 300, 116, 359, 117, 360)(58, 301, 118, 361, 119, 362)(59, 302, 120, 363, 121, 364)(60, 303, 122, 365, 123, 366)(61, 304, 124, 367, 125, 368)(62, 305, 126, 369, 127, 370)(63, 306, 128, 371, 129, 372)(64, 307, 130, 373, 131, 374)(65, 308, 132, 375, 133, 376)(66, 309, 134, 377, 135, 378)(67, 310, 136, 379, 137, 380)(68, 311, 138, 381, 139, 382)(69, 312, 140, 383, 141, 384)(70, 313, 142, 385, 143, 386)(71, 314, 144, 387, 145, 388)(72, 315, 146, 389, 147, 390)(73, 316, 148, 391, 149, 392)(74, 317, 150, 393, 151, 394)(75, 318, 152, 395, 153, 396)(76, 319, 154, 397, 155, 398)(77, 320, 156, 399, 157, 400)(94, 337, 158, 401, 181, 424)(95, 338, 182, 425, 183, 426)(96, 339, 184, 427, 185, 428)(97, 340, 176, 419, 186, 429)(98, 341, 187, 430, 188, 431)(99, 342, 173, 416, 189, 432)(100, 343, 190, 433, 191, 434)(101, 344, 164, 407, 192, 435)(102, 345, 160, 403, 193, 436)(103, 346, 194, 437, 195, 438)(104, 347, 196, 439, 197, 440)(105, 348, 198, 441, 171, 414)(106, 349, 163, 406, 199, 442)(107, 350, 200, 443, 201, 444)(108, 351, 169, 412, 202, 445)(109, 352, 180, 423, 203, 446)(159, 402, 217, 460, 227, 470)(161, 404, 213, 456, 219, 462)(162, 405, 209, 452, 232, 475)(165, 408, 212, 455, 233, 476)(166, 409, 216, 459, 222, 465)(167, 410, 214, 457, 234, 477)(168, 411, 235, 478, 206, 449)(170, 413, 204, 447, 231, 474)(172, 415, 215, 458, 236, 479)(174, 417, 208, 451, 218, 461)(175, 418, 205, 448, 237, 480)(177, 420, 238, 481, 211, 454)(178, 421, 207, 450, 239, 482)(179, 422, 210, 453, 225, 468)(220, 463, 229, 472, 240, 483)(221, 464, 230, 473, 241, 484)(223, 466, 242, 485, 228, 471)(224, 467, 226, 469, 243, 486)
	L = (1, 245)(2, 247)(3, 251)(4, 244)(5, 255)(6, 257)(7, 259)(8, 252)(9, 246)(10, 265)(11, 267)(12, 256)(13, 248)(14, 258)(15, 249)(16, 260)(17, 250)(18, 281)(19, 283)(20, 285)(21, 287)(22, 266)(23, 253)(24, 268)(25, 254)(26, 297)(27, 299)(28, 301)(29, 303)(30, 305)(31, 307)(32, 309)(33, 311)(34, 313)(35, 315)(36, 317)(37, 319)(38, 282)(39, 261)(40, 284)(41, 262)(42, 286)(43, 263)(44, 288)(45, 264)(46, 337)(47, 339)(48, 341)(49, 343)(50, 345)(51, 347)(52, 349)(53, 351)(54, 298)(55, 269)(56, 300)(57, 270)(58, 302)(59, 271)(60, 304)(61, 272)(62, 306)(63, 273)(64, 308)(65, 274)(66, 310)(67, 275)(68, 312)(69, 276)(70, 314)(71, 277)(72, 316)(73, 278)(74, 318)(75, 279)(76, 320)(77, 280)(78, 369)(79, 402)(80, 398)(81, 405)(82, 407)(83, 389)(84, 381)(85, 411)(86, 413)(87, 387)(88, 379)(89, 395)(90, 418)(91, 391)(92, 421)(93, 422)(94, 338)(95, 289)(96, 340)(97, 290)(98, 342)(99, 291)(100, 344)(101, 292)(102, 346)(103, 293)(104, 348)(105, 294)(106, 350)(107, 295)(108, 352)(109, 296)(110, 370)(111, 444)(112, 449)(113, 394)(114, 451)(115, 390)(116, 452)(117, 377)(118, 372)(119, 455)(120, 456)(121, 457)(122, 376)(123, 459)(124, 384)(125, 400)(126, 401)(127, 447)(128, 445)(129, 454)(130, 335)(131, 439)(132, 433)(133, 458)(134, 453)(135, 437)(136, 416)(137, 443)(138, 410)(139, 441)(140, 467)(141, 460)(142, 424)(143, 364)(144, 415)(145, 442)(146, 409)(147, 440)(148, 420)(149, 430)(150, 426)(151, 450)(152, 417)(153, 472)(154, 429)(155, 404)(156, 435)(157, 446)(158, 321)(159, 403)(160, 322)(161, 323)(162, 406)(163, 324)(164, 408)(165, 325)(166, 326)(167, 327)(168, 412)(169, 328)(170, 414)(171, 329)(172, 330)(173, 331)(174, 332)(175, 419)(176, 333)(177, 334)(178, 373)(179, 423)(180, 336)(181, 468)(182, 366)(183, 471)(184, 383)(185, 357)(186, 473)(187, 470)(188, 355)(189, 363)(190, 463)(191, 359)(192, 474)(193, 396)(194, 464)(195, 362)(196, 462)(197, 358)(198, 466)(199, 469)(200, 465)(201, 448)(202, 461)(203, 368)(204, 353)(205, 354)(206, 431)(207, 356)(208, 428)(209, 434)(210, 360)(211, 361)(212, 438)(213, 432)(214, 386)(215, 365)(216, 425)(217, 367)(218, 371)(219, 374)(220, 375)(221, 378)(222, 380)(223, 382)(224, 427)(225, 385)(226, 388)(227, 392)(228, 393)(229, 436)(230, 397)(231, 399)(232, 481)(233, 482)(234, 483)(235, 479)(236, 484)(237, 477)(238, 485)(239, 486)(240, 480)(241, 478)(242, 475)(243, 476)
	local type(s) :: { ( 3, 9, 3, 9, 3, 9 ) }
Outer automorphisms :: reflexible
Dual of E28.3172
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 81 e = 243 f = 108
	degree seq :: [ 6^81 ]

E28.3174 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 9})
Quotient :: dipole
Aut^+ = (C3 x ((C3 x C3) : C3)) : C3 (small group id <243, 3>)
Aut   = ((C3 x ((C3 x C3) : C3)) : C3) : C2 (small group id <486, 43>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^3, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1^-1)^3, (Y3^-1 * Y1^-1)^3, Y2^-3 * Y1 * Y2^3 * Y1^-1, Y2^9, (Y2 * Y1^-1 * Y2)^3, Y2^4 * Y1 * Y2 * Y1 * Y2^-2 * Y1, (Y2^-1, Y1^-1)^3, Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map::
	R = (1, 244, 2, 245, 4, 247)(3, 246, 8, 251, 10, 253)(5, 248, 13, 256, 14, 257)(6, 249, 16, 259, 18, 261)(7, 250, 19, 262, 20, 263)(9, 252, 24, 267, 26, 269)(11, 254, 29, 272, 31, 274)(12, 255, 32, 275, 22, 265)(15, 258, 37, 280, 38, 281)(17, 260, 41, 284, 43, 286)(21, 264, 49, 292, 50, 293)(23, 266, 53, 296, 54, 297)(25, 268, 42, 285, 59, 302)(27, 270, 62, 305, 64, 307)(28, 271, 65, 308, 56, 299)(30, 273, 68, 311, 69, 312)(33, 276, 74, 317, 75, 318)(34, 277, 77, 320, 78, 321)(35, 278, 79, 322, 80, 323)(36, 279, 82, 325, 83, 326)(39, 282, 51, 294, 76, 319)(40, 283, 86, 329, 87, 330)(44, 287, 94, 337, 96, 339)(45, 288, 97, 340, 89, 332)(46, 289, 99, 342, 100, 343)(47, 290, 101, 344, 102, 345)(48, 291, 104, 347, 105, 348)(52, 295, 107, 350, 109, 352)(55, 298, 113, 356, 114, 357)(57, 300, 116, 359, 117, 360)(58, 301, 108, 351, 118, 361)(60, 303, 120, 363, 121, 364)(61, 304, 122, 365, 91, 334)(63, 306, 124, 367, 81, 324)(66, 309, 129, 372, 130, 373)(67, 310, 131, 374, 132, 375)(70, 313, 136, 379, 138, 381)(71, 314, 139, 382, 134, 377)(72, 315, 141, 384, 142, 385)(73, 316, 143, 386, 144, 387)(84, 327, 156, 399, 157, 400)(85, 328, 152, 395, 88, 331)(90, 333, 162, 405, 163, 406)(92, 335, 164, 407, 165, 408)(93, 336, 166, 409, 119, 362)(95, 338, 168, 411, 103, 346)(98, 341, 173, 416, 174, 417)(106, 349, 181, 424, 133, 376)(110, 353, 188, 431, 189, 432)(111, 354, 178, 421, 190, 433)(112, 355, 171, 414, 192, 435)(115, 358, 193, 436, 158, 401)(123, 366, 176, 419, 196, 439)(125, 368, 169, 412, 200, 443)(126, 369, 183, 426, 197, 440)(127, 370, 202, 445, 203, 446)(128, 371, 180, 423, 204, 447)(135, 378, 207, 450, 191, 434)(137, 380, 209, 452, 145, 388)(140, 383, 213, 456, 214, 457)(146, 389, 187, 430, 221, 464)(147, 390, 199, 442, 208, 451)(148, 391, 182, 425, 194, 437)(149, 392, 198, 441, 206, 449)(150, 393, 179, 422, 219, 462)(151, 394, 222, 465, 212, 455)(153, 396, 223, 466, 217, 460)(154, 397, 224, 467, 210, 453)(155, 398, 225, 468, 175, 418)(159, 402, 218, 461, 226, 469)(160, 403, 211, 454, 227, 470)(161, 404, 228, 471, 205, 448)(167, 410, 216, 459, 231, 474)(170, 413, 186, 429, 232, 475)(172, 415, 220, 463, 234, 477)(177, 420, 185, 428, 229, 472)(184, 427, 235, 478, 215, 458)(195, 438, 230, 473, 239, 482)(201, 444, 233, 476, 240, 483)(236, 479, 238, 481, 243, 486)(237, 480, 242, 485, 241, 484)(487, 730, 489, 732, 495, 738, 511, 754, 544, 787, 571, 814, 525, 768, 501, 744, 491, 734)(488, 731, 492, 735, 503, 746, 528, 771, 577, 820, 592, 835, 537, 780, 507, 750, 493, 736)(490, 733, 497, 740, 516, 759, 545, 788, 605, 848, 599, 842, 562, 805, 519, 762, 498, 741)(494, 737, 508, 751, 538, 781, 594, 837, 555, 798, 570, 813, 523, 766, 541, 784, 509, 752)(496, 739, 513, 756, 549, 792, 604, 847, 632, 875, 563, 806, 524, 767, 552, 795, 514, 757)(499, 742, 520, 763, 543, 786, 510, 753, 542, 785, 601, 844, 638, 881, 567, 810, 521, 764)(500, 743, 522, 765, 547, 790, 512, 755, 546, 789, 535, 778, 574, 817, 526, 769, 502, 745)(504, 747, 530, 773, 581, 824, 608, 851, 661, 904, 585, 828, 536, 779, 584, 827, 531, 774)(505, 748, 532, 775, 576, 819, 527, 770, 575, 818, 647, 890, 667, 910, 589, 832, 533, 776)(506, 749, 534, 777, 579, 822, 529, 772, 578, 821, 560, 803, 619, 862, 553, 796, 515, 758)(517, 760, 556, 799, 623, 866, 652, 895, 701, 944, 627, 870, 561, 804, 626, 869, 557, 800)(518, 761, 558, 801, 621, 864, 554, 797, 620, 863, 674, 917, 600, 843, 631, 874, 559, 802)(539, 782, 596, 839, 671, 914, 593, 836, 630, 873, 706, 949, 642, 885, 677, 920, 597, 840)(540, 783, 598, 841, 673, 916, 595, 838, 672, 915, 615, 858, 643, 886, 609, 852, 548, 791)(550, 793, 611, 854, 685, 928, 707, 950, 727, 970, 688, 931, 616, 859, 687, 930, 612, 855)(551, 794, 613, 856, 684, 927, 610, 853, 683, 926, 634, 877, 564, 807, 633, 876, 614, 857)(565, 808, 635, 878, 681, 924, 602, 845, 680, 923, 724, 967, 679, 922, 690, 933, 636, 879)(566, 809, 637, 880, 606, 849, 603, 846, 645, 888, 572, 815, 644, 887, 639, 882, 568, 811)(569, 812, 640, 883, 659, 902, 607, 850, 653, 896, 580, 823, 573, 816, 646, 889, 641, 884)(582, 825, 655, 898, 682, 925, 711, 954, 723, 966, 678, 921, 660, 903, 719, 962, 656, 899)(583, 826, 657, 900, 676, 919, 654, 897, 718, 961, 663, 906, 586, 829, 662, 905, 658, 901)(587, 830, 664, 907, 716, 959, 648, 891, 715, 958, 729, 972, 714, 957, 720, 963, 665, 908)(588, 831, 666, 909, 650, 893, 649, 892, 692, 935, 617, 860, 691, 934, 668, 911, 590, 833)(591, 834, 669, 912, 699, 942, 651, 894, 694, 937, 622, 865, 618, 861, 689, 932, 670, 913)(624, 867, 686, 929, 717, 960, 721, 964, 728, 971, 713, 956, 700, 943, 726, 969, 696, 939)(625, 868, 697, 940, 712, 955, 695, 938, 710, 953, 703, 946, 628, 871, 702, 945, 698, 941)(629, 872, 704, 947, 725, 968, 693, 936, 709, 952, 722, 965, 675, 918, 708, 951, 705, 948)
	L = (1, 489)(2, 492)(3, 495)(4, 497)(5, 487)(6, 503)(7, 488)(8, 508)(9, 511)(10, 513)(11, 516)(12, 490)(13, 520)(14, 522)(15, 491)(16, 500)(17, 528)(18, 530)(19, 532)(20, 534)(21, 493)(22, 538)(23, 494)(24, 542)(25, 544)(26, 546)(27, 549)(28, 496)(29, 506)(30, 545)(31, 556)(32, 558)(33, 498)(34, 543)(35, 499)(36, 547)(37, 541)(38, 552)(39, 501)(40, 502)(41, 575)(42, 577)(43, 578)(44, 581)(45, 504)(46, 576)(47, 505)(48, 579)(49, 574)(50, 584)(51, 507)(52, 594)(53, 596)(54, 598)(55, 509)(56, 601)(57, 510)(58, 571)(59, 605)(60, 535)(61, 512)(62, 540)(63, 604)(64, 611)(65, 613)(66, 514)(67, 515)(68, 620)(69, 570)(70, 623)(71, 517)(72, 621)(73, 518)(74, 619)(75, 626)(76, 519)(77, 524)(78, 633)(79, 635)(80, 637)(81, 521)(82, 566)(83, 640)(84, 523)(85, 525)(86, 644)(87, 646)(88, 526)(89, 647)(90, 527)(91, 592)(92, 560)(93, 529)(94, 573)(95, 608)(96, 655)(97, 657)(98, 531)(99, 536)(100, 662)(101, 664)(102, 666)(103, 533)(104, 588)(105, 669)(106, 537)(107, 630)(108, 555)(109, 672)(110, 671)(111, 539)(112, 673)(113, 562)(114, 631)(115, 638)(116, 680)(117, 645)(118, 632)(119, 599)(120, 603)(121, 653)(122, 661)(123, 548)(124, 683)(125, 685)(126, 550)(127, 684)(128, 551)(129, 643)(130, 687)(131, 691)(132, 689)(133, 553)(134, 674)(135, 554)(136, 618)(137, 652)(138, 686)(139, 697)(140, 557)(141, 561)(142, 702)(143, 704)(144, 706)(145, 559)(146, 563)(147, 614)(148, 564)(149, 681)(150, 565)(151, 606)(152, 567)(153, 568)(154, 659)(155, 569)(156, 677)(157, 609)(158, 639)(159, 572)(160, 641)(161, 667)(162, 715)(163, 692)(164, 649)(165, 694)(166, 701)(167, 580)(168, 718)(169, 682)(170, 582)(171, 676)(172, 583)(173, 607)(174, 719)(175, 585)(176, 658)(177, 586)(178, 716)(179, 587)(180, 650)(181, 589)(182, 590)(183, 699)(184, 591)(185, 593)(186, 615)(187, 595)(188, 600)(189, 708)(190, 654)(191, 597)(192, 660)(193, 690)(194, 724)(195, 602)(196, 711)(197, 634)(198, 610)(199, 707)(200, 717)(201, 612)(202, 616)(203, 670)(204, 636)(205, 668)(206, 617)(207, 709)(208, 622)(209, 710)(210, 624)(211, 712)(212, 625)(213, 651)(214, 726)(215, 627)(216, 698)(217, 628)(218, 725)(219, 629)(220, 642)(221, 727)(222, 705)(223, 722)(224, 703)(225, 723)(226, 695)(227, 700)(228, 720)(229, 729)(230, 648)(231, 721)(232, 663)(233, 656)(234, 665)(235, 728)(236, 675)(237, 678)(238, 679)(239, 693)(240, 696)(241, 688)(242, 713)(243, 714)(244, 730)(245, 731)(246, 732)(247, 733)(248, 734)(249, 735)(250, 736)(251, 737)(252, 738)(253, 739)(254, 740)(255, 741)(256, 742)(257, 743)(258, 744)(259, 745)(260, 746)(261, 747)(262, 748)(263, 749)(264, 750)(265, 751)(266, 752)(267, 753)(268, 754)(269, 755)(270, 756)(271, 757)(272, 758)(273, 759)(274, 760)(275, 761)(276, 762)(277, 763)(278, 764)(279, 765)(280, 766)(281, 767)(282, 768)(283, 769)(284, 770)(285, 771)(286, 772)(287, 773)(288, 774)(289, 775)(290, 776)(291, 777)(292, 778)(293, 779)(294, 780)(295, 781)(296, 782)(297, 783)(298, 784)(299, 785)(300, 786)(301, 787)(302, 788)(303, 789)(304, 790)(305, 791)(306, 792)(307, 793)(308, 794)(309, 795)(310, 796)(311, 797)(312, 798)(313, 799)(314, 800)(315, 801)(316, 802)(317, 803)(318, 804)(319, 805)(320, 806)(321, 807)(322, 808)(323, 809)(324, 810)(325, 811)(326, 812)(327, 813)(328, 814)(329, 815)(330, 816)(331, 817)(332, 818)(333, 819)(334, 820)(335, 821)(336, 822)(337, 823)(338, 824)(339, 825)(340, 826)(341, 827)(342, 828)(343, 829)(344, 830)(345, 831)(346, 832)(347, 833)(348, 834)(349, 835)(350, 836)(351, 837)(352, 838)(353, 839)(354, 840)(355, 841)(356, 842)(357, 843)(358, 844)(359, 845)(360, 846)(361, 847)(362, 848)(363, 849)(364, 850)(365, 851)(366, 852)(367, 853)(368, 854)(369, 855)(370, 856)(371, 857)(372, 858)(373, 859)(374, 860)(375, 861)(376, 862)(377, 863)(378, 864)(379, 865)(380, 866)(381, 867)(382, 868)(383, 869)(384, 870)(385, 871)(386, 872)(387, 873)(388, 874)(389, 875)(390, 876)(391, 877)(392, 878)(393, 879)(394, 880)(395, 881)(396, 882)(397, 883)(398, 884)(399, 885)(400, 886)(401, 887)(402, 888)(403, 889)(404, 890)(405, 891)(406, 892)(407, 893)(408, 894)(409, 895)(410, 896)(411, 897)(412, 898)(413, 899)(414, 900)(415, 901)(416, 902)(417, 903)(418, 904)(419, 905)(420, 906)(421, 907)(422, 908)(423, 909)(424, 910)(425, 911)(426, 912)(427, 913)(428, 914)(429, 915)(430, 916)(431, 917)(432, 918)(433, 919)(434, 920)(435, 921)(436, 922)(437, 923)(438, 924)(439, 925)(440, 926)(441, 927)(442, 928)(443, 929)(444, 930)(445, 931)(446, 932)(447, 933)(448, 934)(449, 935)(450, 936)(451, 937)(452, 938)(453, 939)(454, 940)(455, 941)(456, 942)(457, 943)(458, 944)(459, 945)(460, 946)(461, 947)(462, 948)(463, 949)(464, 950)(465, 951)(466, 952)(467, 953)(468, 954)(469, 955)(470, 956)(471, 957)(472, 958)(473, 959)(474, 960)(475, 961)(476, 962)(477, 963)(478, 964)(479, 965)(480, 966)(481, 967)(482, 968)(483, 969)(484, 970)(485, 971)(486, 972)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.3175
Graph:: bipartite
	v = 108 e = 486 f = 324
	degree seq :: [ 6^81, 18^27 ]

E28.3175 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 9})
Quotient :: dipole
Aut^+ = (C3 x ((C3 x C3) : C3)) : C3 (small group id <243, 3>)
Aut   = ((C3 x ((C3 x C3) : C3)) : C3) : C2 (small group id <486, 43>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y3^-1 * Y2^-1 * Y3^3 * Y2 * Y3^-2, (Y3^-2 * Y2^-1)^3, Y2^-1 * Y3^4 * Y2^-1 * Y3 * Y2^-1 * Y3^-2, (Y3, Y2^-1)^3, Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1, (Y3^-1 * Y1^-1)^9 ]
Map:: polytopal
	R = (1, 244)(2, 245)(3, 246)(4, 247)(5, 248)(6, 249)(7, 250)(8, 251)(9, 252)(10, 253)(11, 254)(12, 255)(13, 256)(14, 257)(15, 258)(16, 259)(17, 260)(18, 261)(19, 262)(20, 263)(21, 264)(22, 265)(23, 266)(24, 267)(25, 268)(26, 269)(27, 270)(28, 271)(29, 272)(30, 273)(31, 274)(32, 275)(33, 276)(34, 277)(35, 278)(36, 279)(37, 280)(38, 281)(39, 282)(40, 283)(41, 284)(42, 285)(43, 286)(44, 287)(45, 288)(46, 289)(47, 290)(48, 291)(49, 292)(50, 293)(51, 294)(52, 295)(53, 296)(54, 297)(55, 298)(56, 299)(57, 300)(58, 301)(59, 302)(60, 303)(61, 304)(62, 305)(63, 306)(64, 307)(65, 308)(66, 309)(67, 310)(68, 311)(69, 312)(70, 313)(71, 314)(72, 315)(73, 316)(74, 317)(75, 318)(76, 319)(77, 320)(78, 321)(79, 322)(80, 323)(81, 324)(82, 325)(83, 326)(84, 327)(85, 328)(86, 329)(87, 330)(88, 331)(89, 332)(90, 333)(91, 334)(92, 335)(93, 336)(94, 337)(95, 338)(96, 339)(97, 340)(98, 341)(99, 342)(100, 343)(101, 344)(102, 345)(103, 346)(104, 347)(105, 348)(106, 349)(107, 350)(108, 351)(109, 352)(110, 353)(111, 354)(112, 355)(113, 356)(114, 357)(115, 358)(116, 359)(117, 360)(118, 361)(119, 362)(120, 363)(121, 364)(122, 365)(123, 366)(124, 367)(125, 368)(126, 369)(127, 370)(128, 371)(129, 372)(130, 373)(131, 374)(132, 375)(133, 376)(134, 377)(135, 378)(136, 379)(137, 380)(138, 381)(139, 382)(140, 383)(141, 384)(142, 385)(143, 386)(144, 387)(145, 388)(146, 389)(147, 390)(148, 391)(149, 392)(150, 393)(151, 394)(152, 395)(153, 396)(154, 397)(155, 398)(156, 399)(157, 400)(158, 401)(159, 402)(160, 403)(161, 404)(162, 405)(163, 406)(164, 407)(165, 408)(166, 409)(167, 410)(168, 411)(169, 412)(170, 413)(171, 414)(172, 415)(173, 416)(174, 417)(175, 418)(176, 419)(177, 420)(178, 421)(179, 422)(180, 423)(181, 424)(182, 425)(183, 426)(184, 427)(185, 428)(186, 429)(187, 430)(188, 431)(189, 432)(190, 433)(191, 434)(192, 435)(193, 436)(194, 437)(195, 438)(196, 439)(197, 440)(198, 441)(199, 442)(200, 443)(201, 444)(202, 445)(203, 446)(204, 447)(205, 448)(206, 449)(207, 450)(208, 451)(209, 452)(210, 453)(211, 454)(212, 455)(213, 456)(214, 457)(215, 458)(216, 459)(217, 460)(218, 461)(219, 462)(220, 463)(221, 464)(222, 465)(223, 466)(224, 467)(225, 468)(226, 469)(227, 470)(228, 471)(229, 472)(230, 473)(231, 474)(232, 475)(233, 476)(234, 477)(235, 478)(236, 479)(237, 480)(238, 481)(239, 482)(240, 483)(241, 484)(242, 485)(243, 486)(487, 730, 488, 731, 490, 733)(489, 732, 494, 737, 496, 739)(491, 734, 499, 742, 500, 743)(492, 735, 502, 745, 504, 747)(493, 736, 505, 748, 506, 749)(495, 738, 510, 753, 512, 755)(497, 740, 514, 757, 516, 759)(498, 741, 517, 760, 518, 761)(501, 744, 523, 766, 524, 767)(503, 746, 528, 771, 530, 773)(507, 750, 535, 778, 536, 779)(508, 751, 538, 781, 540, 783)(509, 752, 541, 784, 542, 785)(511, 754, 529, 772, 547, 790)(513, 756, 549, 792, 550, 793)(515, 758, 554, 797, 555, 798)(519, 762, 560, 803, 561, 804)(520, 763, 563, 806, 564, 807)(521, 764, 565, 808, 566, 809)(522, 765, 567, 810, 568, 811)(525, 768, 537, 780, 562, 805)(526, 769, 572, 815, 574, 817)(527, 770, 575, 818, 576, 819)(531, 774, 581, 824, 582, 825)(532, 775, 584, 827, 585, 828)(533, 776, 586, 829, 587, 830)(534, 777, 588, 831, 589, 832)(539, 782, 569, 812, 596, 839)(543, 786, 601, 844, 602, 845)(544, 787, 603, 846, 604, 847)(545, 788, 605, 848, 606, 849)(546, 789, 595, 838, 578, 821)(548, 791, 607, 850, 608, 851)(551, 794, 612, 855, 592, 835)(552, 795, 613, 856, 615, 858)(553, 796, 616, 859, 617, 860)(556, 799, 621, 864, 622, 865)(557, 800, 624, 867, 625, 868)(558, 801, 626, 869, 627, 870)(559, 802, 628, 871, 629, 872)(570, 813, 642, 885, 643, 886)(571, 814, 623, 866, 641, 884)(573, 816, 590, 833, 647, 890)(577, 820, 652, 895, 653, 896)(579, 822, 646, 889, 619, 862)(580, 823, 654, 897, 655, 898)(583, 826, 659, 902, 631, 874)(591, 834, 669, 912, 670, 913)(593, 836, 644, 887, 672, 915)(594, 837, 673, 916, 674, 917)(597, 840, 677, 920, 678, 921)(598, 841, 679, 922, 680, 923)(599, 842, 656, 899, 681, 924)(600, 843, 682, 925, 683, 926)(609, 852, 690, 933, 691, 934)(610, 853, 692, 935, 649, 892)(611, 854, 693, 936, 694, 937)(614, 857, 630, 873, 696, 939)(618, 861, 699, 942, 685, 928)(620, 863, 700, 943, 701, 944)(632, 875, 645, 888, 707, 950)(633, 876, 686, 929, 708, 951)(634, 877, 664, 907, 709, 952)(635, 878, 648, 891, 671, 914)(636, 879, 688, 931, 704, 947)(637, 880, 710, 953, 661, 904)(638, 881, 651, 894, 711, 954)(639, 882, 658, 901, 676, 919)(640, 883, 668, 911, 706, 949)(650, 893, 702, 945, 715, 958)(657, 900, 717, 960, 697, 940)(660, 903, 695, 938, 718, 961)(662, 905, 705, 948, 719, 962)(663, 906, 684, 927, 712, 955)(665, 908, 720, 963, 703, 946)(666, 909, 698, 941, 721, 964)(667, 910, 687, 930, 714, 957)(675, 918, 713, 956, 722, 965)(689, 932, 716, 959, 725, 968)(723, 966, 727, 970, 729, 972)(724, 967, 728, 971, 726, 969)
	L = (1, 489)(2, 492)(3, 495)(4, 497)(5, 487)(6, 503)(7, 488)(8, 508)(9, 511)(10, 505)(11, 515)(12, 490)(13, 520)(14, 521)(15, 491)(16, 526)(17, 529)(18, 517)(19, 532)(20, 533)(21, 493)(22, 539)(23, 494)(24, 544)(25, 546)(26, 541)(27, 496)(28, 552)(29, 547)(30, 499)(31, 557)(32, 558)(33, 498)(34, 545)(35, 548)(36, 500)(37, 543)(38, 551)(39, 501)(40, 573)(41, 502)(42, 570)(43, 579)(44, 575)(45, 504)(46, 578)(47, 580)(48, 506)(49, 577)(50, 583)(51, 507)(52, 593)(53, 595)(54, 549)(55, 598)(56, 599)(57, 509)(58, 561)(59, 510)(60, 571)(61, 605)(62, 512)(63, 609)(64, 610)(65, 513)(66, 614)(67, 514)(68, 591)(69, 616)(70, 516)(71, 619)(72, 620)(73, 518)(74, 618)(75, 623)(76, 519)(77, 632)(78, 567)(79, 635)(80, 523)(81, 638)(82, 639)(83, 522)(84, 524)(85, 525)(86, 644)(87, 646)(88, 581)(89, 649)(90, 650)(91, 527)(92, 528)(93, 592)(94, 530)(95, 656)(96, 657)(97, 531)(98, 660)(99, 588)(100, 663)(101, 535)(102, 666)(103, 667)(104, 534)(105, 536)(106, 537)(107, 671)(108, 538)(109, 637)(110, 673)(111, 540)(112, 641)(113, 676)(114, 542)(115, 675)(116, 642)(117, 684)(118, 607)(119, 631)(120, 686)(121, 687)(122, 688)(123, 661)(124, 662)(125, 550)(126, 590)(127, 672)(128, 606)(129, 621)(130, 697)(131, 691)(132, 553)(133, 554)(134, 555)(135, 702)(136, 679)(137, 556)(138, 674)(139, 628)(140, 678)(141, 560)(142, 683)(143, 694)(144, 559)(145, 562)(146, 685)(147, 563)(148, 564)(149, 600)(150, 565)(151, 566)(152, 604)(153, 689)(154, 568)(155, 569)(156, 597)(157, 654)(158, 712)(159, 572)(160, 665)(161, 707)(162, 574)(163, 612)(164, 714)(165, 576)(166, 713)(167, 669)(168, 611)(169, 709)(170, 703)(171, 704)(172, 582)(173, 630)(174, 602)(175, 584)(176, 585)(177, 651)(178, 586)(179, 587)(180, 643)(181, 716)(182, 589)(183, 648)(184, 700)(185, 710)(186, 677)(187, 636)(188, 653)(189, 594)(190, 596)(191, 708)(192, 698)(193, 634)(194, 682)(195, 601)(196, 640)(197, 670)(198, 615)(199, 603)(200, 627)(201, 622)(202, 723)(203, 608)(204, 699)(205, 693)(206, 711)(207, 696)(208, 725)(209, 613)(210, 718)(211, 659)(212, 617)(213, 722)(214, 658)(215, 719)(216, 633)(217, 624)(218, 625)(219, 626)(220, 629)(221, 664)(222, 726)(223, 727)(224, 724)(225, 668)(226, 720)(227, 645)(228, 647)(229, 652)(230, 655)(231, 721)(232, 705)(233, 729)(234, 728)(235, 706)(236, 695)(237, 680)(238, 681)(239, 701)(240, 690)(241, 692)(242, 715)(243, 717)(244, 730)(245, 731)(246, 732)(247, 733)(248, 734)(249, 735)(250, 736)(251, 737)(252, 738)(253, 739)(254, 740)(255, 741)(256, 742)(257, 743)(258, 744)(259, 745)(260, 746)(261, 747)(262, 748)(263, 749)(264, 750)(265, 751)(266, 752)(267, 753)(268, 754)(269, 755)(270, 756)(271, 757)(272, 758)(273, 759)(274, 760)(275, 761)(276, 762)(277, 763)(278, 764)(279, 765)(280, 766)(281, 767)(282, 768)(283, 769)(284, 770)(285, 771)(286, 772)(287, 773)(288, 774)(289, 775)(290, 776)(291, 777)(292, 778)(293, 779)(294, 780)(295, 781)(296, 782)(297, 783)(298, 784)(299, 785)(300, 786)(301, 787)(302, 788)(303, 789)(304, 790)(305, 791)(306, 792)(307, 793)(308, 794)(309, 795)(310, 796)(311, 797)(312, 798)(313, 799)(314, 800)(315, 801)(316, 802)(317, 803)(318, 804)(319, 805)(320, 806)(321, 807)(322, 808)(323, 809)(324, 810)(325, 811)(326, 812)(327, 813)(328, 814)(329, 815)(330, 816)(331, 817)(332, 818)(333, 819)(334, 820)(335, 821)(336, 822)(337, 823)(338, 824)(339, 825)(340, 826)(341, 827)(342, 828)(343, 829)(344, 830)(345, 831)(346, 832)(347, 833)(348, 834)(349, 835)(350, 836)(351, 837)(352, 838)(353, 839)(354, 840)(355, 841)(356, 842)(357, 843)(358, 844)(359, 845)(360, 846)(361, 847)(362, 848)(363, 849)(364, 850)(365, 851)(366, 852)(367, 853)(368, 854)(369, 855)(370, 856)(371, 857)(372, 858)(373, 859)(374, 860)(375, 861)(376, 862)(377, 863)(378, 864)(379, 865)(380, 866)(381, 867)(382, 868)(383, 869)(384, 870)(385, 871)(386, 872)(387, 873)(388, 874)(389, 875)(390, 876)(391, 877)(392, 878)(393, 879)(394, 880)(395, 881)(396, 882)(397, 883)(398, 884)(399, 885)(400, 886)(401, 887)(402, 888)(403, 889)(404, 890)(405, 891)(406, 892)(407, 893)(408, 894)(409, 895)(410, 896)(411, 897)(412, 898)(413, 899)(414, 900)(415, 901)(416, 902)(417, 903)(418, 904)(419, 905)(420, 906)(421, 907)(422, 908)(423, 909)(424, 910)(425, 911)(426, 912)(427, 913)(428, 914)(429, 915)(430, 916)(431, 917)(432, 918)(433, 919)(434, 920)(435, 921)(436, 922)(437, 923)(438, 924)(439, 925)(440, 926)(441, 927)(442, 928)(443, 929)(444, 930)(445, 931)(446, 932)(447, 933)(448, 934)(449, 935)(450, 936)(451, 937)(452, 938)(453, 939)(454, 940)(455, 941)(456, 942)(457, 943)(458, 944)(459, 945)(460, 946)(461, 947)(462, 948)(463, 949)(464, 950)(465, 951)(466, 952)(467, 953)(468, 954)(469, 955)(470, 956)(471, 957)(472, 958)(473, 959)(474, 960)(475, 961)(476, 962)(477, 963)(478, 964)(479, 965)(480, 966)(481, 967)(482, 968)(483, 969)(484, 970)(485, 971)(486, 972)
	local type(s) :: { ( 6, 18 ), ( 6, 18, 6, 18, 6, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.3174
Graph:: simple bipartite
	v = 324 e = 486 f = 108
	degree seq :: [ 2^243, 6^81 ]

E28.3176 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 3, 9})
Quotient :: edge
Aut^+ = (C9 x C9) : C3 (small group id <243, 26>)
Aut   = ((C9 x C9) : C3) : C2 (small group id <486, 61>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, (T2 * T1^-1)^3, (T2^-1 * T1^-1)^3, (T2^-1 * T1^-1)^3, (T2^-1 * T1)^3, T1^-1 * T2 * T1 * T2^-1 * T1 * T2 * T1^-1 * T2^2, T2^9, T2^4 * T1^-1 * T2^-1 * T1 * T2^4 * T1 * T2^-1 * T1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 9, 25, 54, 75, 37, 15, 5)(2, 6, 17, 40, 80, 91, 47, 21, 7)(4, 11, 29, 61, 110, 117, 66, 32, 12)(8, 22, 48, 92, 150, 152, 94, 50, 23)(10, 19, 43, 85, 141, 167, 106, 58, 27)(13, 33, 68, 119, 181, 175, 113, 63, 30)(14, 34, 69, 120, 182, 131, 77, 38, 16)(18, 31, 57, 102, 160, 203, 139, 83, 42)(20, 44, 86, 142, 205, 168, 107, 59, 28)(24, 51, 65, 114, 176, 215, 154, 96, 52)(26, 49, 45, 87, 144, 207, 164, 103, 56)(35, 71, 123, 185, 231, 174, 112, 62, 70)(36, 72, 124, 186, 196, 133, 78, 39, 67)(41, 76, 64, 104, 162, 220, 202, 138, 82)(46, 88, 145, 208, 227, 169, 108, 60, 84)(53, 97, 105, 116, 177, 232, 217, 156, 98)(55, 95, 93, 89, 146, 210, 222, 161, 101)(73, 126, 189, 236, 230, 173, 111, 121, 125)(74, 127, 190, 237, 198, 134, 79, 118, 122)(81, 132, 130, 115, 165, 223, 241, 201, 137)(90, 147, 211, 243, 228, 170, 109, 140, 143)(99, 157, 163, 166, 179, 233, 235, 218, 158)(100, 155, 153, 151, 148, 212, 234, 219, 159)(128, 192, 221, 224, 226, 172, 183, 187, 191)(129, 193, 216, 214, 199, 135, 180, 184, 188)(136, 197, 195, 194, 178, 225, 242, 240, 200)(149, 213, 239, 238, 229, 171, 204, 206, 209)(244, 245, 247)(246, 251, 253)(248, 256, 257)(249, 259, 261)(250, 262, 263)(252, 267, 269)(254, 271, 273)(255, 274, 265)(258, 278, 279)(260, 282, 284)(264, 288, 289)(266, 292, 287)(268, 296, 298)(270, 300, 294)(272, 303, 305)(275, 307, 308)(276, 310, 285)(277, 302, 313)(280, 316, 317)(281, 319, 291)(283, 322, 324)(286, 327, 306)(290, 332, 333)(293, 336, 331)(295, 338, 329)(297, 342, 343)(299, 345, 340)(301, 347, 348)(304, 352, 354)(309, 358, 359)(311, 361, 325)(312, 351, 364)(314, 365, 326)(315, 350, 368)(318, 371, 372)(320, 373, 357)(321, 375, 335)(323, 378, 379)(328, 383, 355)(330, 386, 356)(334, 391, 392)(337, 394, 390)(339, 396, 388)(341, 398, 385)(344, 403, 400)(346, 405, 406)(349, 408, 409)(353, 414, 415)(360, 421, 422)(362, 423, 380)(363, 413, 426)(366, 427, 381)(367, 412, 430)(369, 431, 382)(370, 411, 434)(374, 437, 420)(376, 438, 419)(377, 440, 393)(384, 447, 416)(387, 449, 417)(389, 452, 418)(395, 442, 456)(397, 457, 454)(399, 459, 451)(401, 436, 448)(402, 446, 435)(404, 463, 464)(407, 466, 467)(410, 468, 469)(424, 455, 443)(425, 472, 476)(428, 477, 444)(429, 471, 478)(432, 462, 445)(433, 470, 461)(439, 481, 475)(441, 482, 458)(450, 485, 473)(453, 483, 474)(460, 480, 486)(465, 484, 479)
	L = (1, 244)(2, 245)(3, 246)(4, 247)(5, 248)(6, 249)(7, 250)(8, 251)(9, 252)(10, 253)(11, 254)(12, 255)(13, 256)(14, 257)(15, 258)(16, 259)(17, 260)(18, 261)(19, 262)(20, 263)(21, 264)(22, 265)(23, 266)(24, 267)(25, 268)(26, 269)(27, 270)(28, 271)(29, 272)(30, 273)(31, 274)(32, 275)(33, 276)(34, 277)(35, 278)(36, 279)(37, 280)(38, 281)(39, 282)(40, 283)(41, 284)(42, 285)(43, 286)(44, 287)(45, 288)(46, 289)(47, 290)(48, 291)(49, 292)(50, 293)(51, 294)(52, 295)(53, 296)(54, 297)(55, 298)(56, 299)(57, 300)(58, 301)(59, 302)(60, 303)(61, 304)(62, 305)(63, 306)(64, 307)(65, 308)(66, 309)(67, 310)(68, 311)(69, 312)(70, 313)(71, 314)(72, 315)(73, 316)(74, 317)(75, 318)(76, 319)(77, 320)(78, 321)(79, 322)(80, 323)(81, 324)(82, 325)(83, 326)(84, 327)(85, 328)(86, 329)(87, 330)(88, 331)(89, 332)(90, 333)(91, 334)(92, 335)(93, 336)(94, 337)(95, 338)(96, 339)(97, 340)(98, 341)(99, 342)(100, 343)(101, 344)(102, 345)(103, 346)(104, 347)(105, 348)(106, 349)(107, 350)(108, 351)(109, 352)(110, 353)(111, 354)(112, 355)(113, 356)(114, 357)(115, 358)(116, 359)(117, 360)(118, 361)(119, 362)(120, 363)(121, 364)(122, 365)(123, 366)(124, 367)(125, 368)(126, 369)(127, 370)(128, 371)(129, 372)(130, 373)(131, 374)(132, 375)(133, 376)(134, 377)(135, 378)(136, 379)(137, 380)(138, 381)(139, 382)(140, 383)(141, 384)(142, 385)(143, 386)(144, 387)(145, 388)(146, 389)(147, 390)(148, 391)(149, 392)(150, 393)(151, 394)(152, 395)(153, 396)(154, 397)(155, 398)(156, 399)(157, 400)(158, 401)(159, 402)(160, 403)(161, 404)(162, 405)(163, 406)(164, 407)(165, 408)(166, 409)(167, 410)(168, 411)(169, 412)(170, 413)(171, 414)(172, 415)(173, 416)(174, 417)(175, 418)(176, 419)(177, 420)(178, 421)(179, 422)(180, 423)(181, 424)(182, 425)(183, 426)(184, 427)(185, 428)(186, 429)(187, 430)(188, 431)(189, 432)(190, 433)(191, 434)(192, 435)(193, 436)(194, 437)(195, 438)(196, 439)(197, 440)(198, 441)(199, 442)(200, 443)(201, 444)(202, 445)(203, 446)(204, 447)(205, 448)(206, 449)(207, 450)(208, 451)(209, 452)(210, 453)(211, 454)(212, 455)(213, 456)(214, 457)(215, 458)(216, 459)(217, 460)(218, 461)(219, 462)(220, 463)(221, 464)(222, 465)(223, 466)(224, 467)(225, 468)(226, 469)(227, 470)(228, 471)(229, 472)(230, 473)(231, 474)(232, 475)(233, 476)(234, 477)(235, 478)(236, 479)(237, 480)(238, 481)(239, 482)(240, 483)(241, 484)(242, 485)(243, 486)
	local type(s) :: { ( 6^3 ), ( 6^9 ) }
Outer automorphisms :: reflexible
Dual of E28.3177
Transitivity :: ET+
Graph:: simple bipartite
	v = 108 e = 243 f = 81
	degree seq :: [ 3^81, 9^27 ]

E28.3177 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 3, 9})
Quotient :: loop
Aut^+ = (C9 x C9) : C3 (small group id <243, 26>)
Aut   = ((C9 x C9) : C3) : C2 (small group id <486, 61>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^3, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^3, (T2^-1 * T1^-1)^9 ]
Map:: polyhedral non-degenerate
	R = (1, 244, 3, 246, 5, 248)(2, 245, 6, 249, 7, 250)(4, 247, 10, 253, 11, 254)(8, 251, 18, 261, 19, 262)(9, 252, 16, 259, 20, 263)(12, 255, 25, 268, 22, 265)(13, 256, 26, 269, 27, 270)(14, 257, 28, 271, 29, 272)(15, 258, 23, 266, 30, 273)(17, 260, 31, 274, 32, 275)(21, 264, 38, 281, 39, 282)(24, 267, 40, 283, 41, 284)(33, 276, 53, 296, 54, 297)(34, 277, 36, 279, 55, 298)(35, 278, 56, 299, 57, 300)(37, 280, 51, 294, 58, 301)(42, 285, 64, 307, 60, 303)(43, 286, 44, 287, 65, 308)(45, 288, 66, 309, 67, 310)(46, 289, 68, 311, 69, 312)(47, 290, 49, 292, 70, 313)(48, 291, 71, 314, 72, 315)(50, 293, 62, 305, 73, 316)(52, 295, 74, 317, 75, 318)(59, 302, 84, 327, 85, 328)(61, 304, 86, 329, 87, 330)(63, 306, 88, 331, 89, 332)(76, 319, 106, 349, 107, 350)(77, 320, 79, 322, 108, 351)(78, 321, 109, 352, 110, 353)(80, 323, 82, 325, 111, 354)(81, 324, 112, 355, 113, 356)(83, 326, 104, 347, 114, 357)(90, 333, 121, 364, 116, 359)(91, 334, 92, 335, 122, 365)(93, 336, 94, 337, 123, 366)(95, 338, 124, 367, 125, 368)(96, 339, 126, 369, 127, 370)(97, 340, 99, 342, 128, 371)(98, 341, 129, 372, 130, 373)(100, 343, 102, 345, 131, 374)(101, 344, 132, 375, 133, 376)(103, 346, 119, 362, 134, 377)(105, 348, 135, 378, 136, 379)(115, 358, 148, 391, 149, 392)(117, 360, 150, 393, 151, 394)(118, 361, 152, 395, 153, 396)(120, 363, 154, 397, 155, 398)(137, 380, 177, 420, 178, 421)(138, 381, 140, 383, 179, 422)(139, 382, 180, 423, 181, 424)(141, 384, 143, 386, 182, 425)(142, 385, 183, 426, 184, 427)(144, 387, 146, 389, 185, 428)(145, 388, 186, 429, 187, 430)(147, 390, 175, 418, 188, 431)(156, 399, 195, 438, 190, 433)(157, 400, 158, 401, 196, 439)(159, 402, 160, 403, 197, 440)(161, 404, 162, 405, 198, 441)(163, 406, 199, 442, 164, 407)(165, 408, 167, 410, 200, 443)(166, 409, 201, 444, 202, 445)(168, 411, 170, 413, 203, 446)(169, 412, 204, 447, 205, 448)(171, 414, 173, 416, 206, 449)(172, 415, 207, 450, 208, 451)(174, 417, 194, 437, 209, 452)(176, 419, 210, 453, 189, 432)(191, 434, 220, 463, 221, 464)(192, 435, 222, 465, 223, 466)(193, 436, 224, 467, 211, 454)(212, 455, 214, 457, 235, 478)(213, 456, 236, 479, 237, 480)(215, 458, 217, 460, 238, 481)(216, 459, 239, 482, 230, 473)(218, 461, 219, 462, 225, 468)(226, 469, 227, 470, 241, 484)(228, 471, 229, 472, 231, 474)(232, 475, 234, 477, 242, 485)(233, 476, 243, 486, 240, 483)
	L = (1, 245)(2, 247)(3, 251)(4, 244)(5, 255)(6, 257)(7, 259)(8, 252)(9, 246)(10, 264)(11, 266)(12, 256)(13, 248)(14, 258)(15, 249)(16, 260)(17, 250)(18, 276)(19, 269)(20, 279)(21, 265)(22, 253)(23, 267)(24, 254)(25, 285)(26, 278)(27, 287)(28, 289)(29, 274)(30, 292)(31, 291)(32, 294)(33, 277)(34, 261)(35, 262)(36, 280)(37, 263)(38, 302)(39, 283)(40, 304)(41, 305)(42, 286)(43, 268)(44, 288)(45, 270)(46, 290)(47, 271)(48, 272)(49, 293)(50, 273)(51, 295)(52, 275)(53, 319)(54, 299)(55, 322)(56, 321)(57, 309)(58, 325)(59, 303)(60, 281)(61, 282)(62, 306)(63, 284)(64, 333)(65, 335)(66, 324)(67, 337)(68, 339)(69, 314)(70, 342)(71, 341)(72, 317)(73, 345)(74, 344)(75, 347)(76, 320)(77, 296)(78, 297)(79, 323)(80, 298)(81, 300)(82, 326)(83, 301)(84, 358)(85, 329)(86, 360)(87, 331)(88, 361)(89, 362)(90, 334)(91, 307)(92, 336)(93, 308)(94, 338)(95, 310)(96, 340)(97, 311)(98, 312)(99, 343)(100, 313)(101, 315)(102, 346)(103, 316)(104, 348)(105, 318)(106, 380)(107, 352)(108, 383)(109, 382)(110, 355)(111, 386)(112, 385)(113, 367)(114, 389)(115, 359)(116, 327)(117, 328)(118, 330)(119, 363)(120, 332)(121, 399)(122, 401)(123, 403)(124, 388)(125, 405)(126, 407)(127, 372)(128, 410)(129, 409)(130, 375)(131, 413)(132, 412)(133, 378)(134, 416)(135, 415)(136, 418)(137, 381)(138, 349)(139, 350)(140, 384)(141, 351)(142, 353)(143, 387)(144, 354)(145, 356)(146, 390)(147, 357)(148, 432)(149, 393)(150, 434)(151, 395)(152, 435)(153, 397)(154, 436)(155, 437)(156, 400)(157, 364)(158, 402)(159, 365)(160, 404)(161, 366)(162, 406)(163, 368)(164, 408)(165, 369)(166, 370)(167, 411)(168, 371)(169, 373)(170, 414)(171, 374)(172, 376)(173, 417)(174, 377)(175, 419)(176, 379)(177, 398)(178, 423)(179, 452)(180, 454)(181, 426)(182, 457)(183, 456)(184, 429)(185, 460)(186, 459)(187, 442)(188, 462)(189, 433)(190, 391)(191, 392)(192, 394)(193, 396)(194, 420)(195, 431)(196, 468)(197, 470)(198, 472)(199, 444)(200, 441)(201, 430)(202, 447)(203, 474)(204, 473)(205, 450)(206, 477)(207, 476)(208, 453)(209, 455)(210, 463)(211, 421)(212, 422)(213, 424)(214, 458)(215, 425)(216, 427)(217, 461)(218, 428)(219, 438)(220, 451)(221, 465)(222, 483)(223, 467)(224, 479)(225, 469)(226, 439)(227, 471)(228, 440)(229, 443)(230, 445)(231, 475)(232, 446)(233, 448)(234, 478)(235, 449)(236, 466)(237, 482)(238, 485)(239, 486)(240, 464)(241, 481)(242, 484)(243, 480)
	local type(s) :: { ( 3, 9, 3, 9, 3, 9 ) }
Outer automorphisms :: reflexible
Dual of E28.3176
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 81 e = 243 f = 108
	degree seq :: [ 6^81 ]

E28.3178 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 9})
Quotient :: dipole
Aut^+ = (C9 x C9) : C3 (small group id <243, 26>)
Aut   = ((C9 x C9) : C3) : C2 (small group id <486, 61>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^3, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1^-1)^3, (Y3^-1 * Y1^-1)^3, (Y2^-1 * Y1)^3, Y1^-1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^2, Y2^9, (Y2^-2 * Y1^-1)^3, Y2^4 * Y1^-1 * Y2^-1 * Y1 * Y2^4 * Y1 * Y2^-1 * Y1^-1 ]
Map::
	R = (1, 244, 2, 245, 4, 247)(3, 246, 8, 251, 10, 253)(5, 248, 13, 256, 14, 257)(6, 249, 16, 259, 18, 261)(7, 250, 19, 262, 20, 263)(9, 252, 24, 267, 26, 269)(11, 254, 28, 271, 30, 273)(12, 255, 31, 274, 22, 265)(15, 258, 35, 278, 36, 279)(17, 260, 39, 282, 41, 284)(21, 264, 45, 288, 46, 289)(23, 266, 49, 292, 44, 287)(25, 268, 53, 296, 55, 298)(27, 270, 57, 300, 51, 294)(29, 272, 60, 303, 62, 305)(32, 275, 64, 307, 65, 308)(33, 276, 67, 310, 42, 285)(34, 277, 59, 302, 70, 313)(37, 280, 73, 316, 74, 317)(38, 281, 76, 319, 48, 291)(40, 283, 79, 322, 81, 324)(43, 286, 84, 327, 63, 306)(47, 290, 89, 332, 90, 333)(50, 293, 93, 336, 88, 331)(52, 295, 95, 338, 86, 329)(54, 297, 99, 342, 100, 343)(56, 299, 102, 345, 97, 340)(58, 301, 104, 347, 105, 348)(61, 304, 109, 352, 111, 354)(66, 309, 115, 358, 116, 359)(68, 311, 118, 361, 82, 325)(69, 312, 108, 351, 121, 364)(71, 314, 122, 365, 83, 326)(72, 315, 107, 350, 125, 368)(75, 318, 128, 371, 129, 372)(77, 320, 130, 373, 114, 357)(78, 321, 132, 375, 92, 335)(80, 323, 135, 378, 136, 379)(85, 328, 140, 383, 112, 355)(87, 330, 143, 386, 113, 356)(91, 334, 148, 391, 149, 392)(94, 337, 151, 394, 147, 390)(96, 339, 153, 396, 145, 388)(98, 341, 155, 398, 142, 385)(101, 344, 160, 403, 157, 400)(103, 346, 162, 405, 163, 406)(106, 349, 165, 408, 166, 409)(110, 353, 171, 414, 172, 415)(117, 360, 178, 421, 179, 422)(119, 362, 180, 423, 137, 380)(120, 363, 170, 413, 183, 426)(123, 366, 184, 427, 138, 381)(124, 367, 169, 412, 187, 430)(126, 369, 188, 431, 139, 382)(127, 370, 168, 411, 191, 434)(131, 374, 194, 437, 177, 420)(133, 376, 195, 438, 176, 419)(134, 377, 197, 440, 150, 393)(141, 384, 204, 447, 173, 416)(144, 387, 206, 449, 174, 417)(146, 389, 209, 452, 175, 418)(152, 395, 199, 442, 213, 456)(154, 397, 214, 457, 211, 454)(156, 399, 216, 459, 208, 451)(158, 401, 193, 436, 205, 448)(159, 402, 203, 446, 192, 435)(161, 404, 220, 463, 221, 464)(164, 407, 223, 466, 224, 467)(167, 410, 225, 468, 226, 469)(181, 424, 212, 455, 200, 443)(182, 425, 229, 472, 233, 476)(185, 428, 234, 477, 201, 444)(186, 429, 228, 471, 235, 478)(189, 432, 219, 462, 202, 445)(190, 433, 227, 470, 218, 461)(196, 439, 238, 481, 232, 475)(198, 441, 239, 482, 215, 458)(207, 450, 242, 485, 230, 473)(210, 453, 240, 483, 231, 474)(217, 460, 237, 480, 243, 486)(222, 465, 241, 484, 236, 479)(487, 730, 489, 732, 495, 738, 511, 754, 540, 783, 561, 804, 523, 766, 501, 744, 491, 734)(488, 731, 492, 735, 503, 746, 526, 769, 566, 809, 577, 820, 533, 776, 507, 750, 493, 736)(490, 733, 497, 740, 515, 758, 547, 790, 596, 839, 603, 846, 552, 795, 518, 761, 498, 741)(494, 737, 508, 751, 534, 777, 578, 821, 636, 879, 638, 881, 580, 823, 536, 779, 509, 752)(496, 739, 505, 748, 529, 772, 571, 814, 627, 870, 653, 896, 592, 835, 544, 787, 513, 756)(499, 742, 519, 762, 554, 797, 605, 848, 667, 910, 661, 904, 599, 842, 549, 792, 516, 759)(500, 743, 520, 763, 555, 798, 606, 849, 668, 911, 617, 860, 563, 806, 524, 767, 502, 745)(504, 747, 517, 760, 543, 786, 588, 831, 646, 889, 689, 932, 625, 868, 569, 812, 528, 771)(506, 749, 530, 773, 572, 815, 628, 871, 691, 934, 654, 897, 593, 836, 545, 788, 514, 757)(510, 753, 537, 780, 551, 794, 600, 843, 662, 905, 701, 944, 640, 883, 582, 825, 538, 781)(512, 755, 535, 778, 531, 774, 573, 816, 630, 873, 693, 936, 650, 893, 589, 832, 542, 785)(521, 764, 557, 800, 609, 852, 671, 914, 717, 960, 660, 903, 598, 841, 548, 791, 556, 799)(522, 765, 558, 801, 610, 853, 672, 915, 682, 925, 619, 862, 564, 807, 525, 768, 553, 796)(527, 770, 562, 805, 550, 793, 590, 833, 648, 891, 706, 949, 688, 931, 624, 867, 568, 811)(532, 775, 574, 817, 631, 874, 694, 937, 713, 956, 655, 898, 594, 837, 546, 789, 570, 813)(539, 782, 583, 826, 591, 834, 602, 845, 663, 906, 718, 961, 703, 946, 642, 885, 584, 827)(541, 784, 581, 824, 579, 822, 575, 818, 632, 875, 696, 939, 708, 951, 647, 890, 587, 830)(559, 802, 612, 855, 675, 918, 722, 965, 716, 959, 659, 902, 597, 840, 607, 850, 611, 854)(560, 803, 613, 856, 676, 919, 723, 966, 684, 927, 620, 863, 565, 808, 604, 847, 608, 851)(567, 810, 618, 861, 616, 859, 601, 844, 651, 894, 709, 952, 727, 970, 687, 930, 623, 866)(576, 819, 633, 876, 697, 940, 729, 972, 714, 957, 656, 899, 595, 838, 626, 869, 629, 872)(585, 828, 643, 886, 649, 892, 652, 895, 665, 908, 719, 962, 721, 964, 704, 947, 644, 887)(586, 829, 641, 884, 639, 882, 637, 880, 634, 877, 698, 941, 720, 963, 705, 948, 645, 888)(614, 857, 678, 921, 707, 950, 710, 953, 712, 955, 658, 901, 669, 912, 673, 916, 677, 920)(615, 858, 679, 922, 702, 945, 700, 943, 685, 928, 621, 864, 666, 909, 670, 913, 674, 917)(622, 865, 683, 926, 681, 924, 680, 923, 664, 907, 711, 954, 728, 971, 726, 969, 686, 929)(635, 878, 699, 942, 725, 968, 724, 967, 715, 958, 657, 900, 690, 933, 692, 935, 695, 938)
	L = (1, 489)(2, 492)(3, 495)(4, 497)(5, 487)(6, 503)(7, 488)(8, 508)(9, 511)(10, 505)(11, 515)(12, 490)(13, 519)(14, 520)(15, 491)(16, 500)(17, 526)(18, 517)(19, 529)(20, 530)(21, 493)(22, 534)(23, 494)(24, 537)(25, 540)(26, 535)(27, 496)(28, 506)(29, 547)(30, 499)(31, 543)(32, 498)(33, 554)(34, 555)(35, 557)(36, 558)(37, 501)(38, 502)(39, 553)(40, 566)(41, 562)(42, 504)(43, 571)(44, 572)(45, 573)(46, 574)(47, 507)(48, 578)(49, 531)(50, 509)(51, 551)(52, 510)(53, 583)(54, 561)(55, 581)(56, 512)(57, 588)(58, 513)(59, 514)(60, 570)(61, 596)(62, 556)(63, 516)(64, 590)(65, 600)(66, 518)(67, 522)(68, 605)(69, 606)(70, 521)(71, 609)(72, 610)(73, 612)(74, 613)(75, 523)(76, 550)(77, 524)(78, 525)(79, 604)(80, 577)(81, 618)(82, 527)(83, 528)(84, 532)(85, 627)(86, 628)(87, 630)(88, 631)(89, 632)(90, 633)(91, 533)(92, 636)(93, 575)(94, 536)(95, 579)(96, 538)(97, 591)(98, 539)(99, 643)(100, 641)(101, 541)(102, 646)(103, 542)(104, 648)(105, 602)(106, 544)(107, 545)(108, 546)(109, 626)(110, 603)(111, 607)(112, 548)(113, 549)(114, 662)(115, 651)(116, 663)(117, 552)(118, 608)(119, 667)(120, 668)(121, 611)(122, 560)(123, 671)(124, 672)(125, 559)(126, 675)(127, 676)(128, 678)(129, 679)(130, 601)(131, 563)(132, 616)(133, 564)(134, 565)(135, 666)(136, 683)(137, 567)(138, 568)(139, 569)(140, 629)(141, 653)(142, 691)(143, 576)(144, 693)(145, 694)(146, 696)(147, 697)(148, 698)(149, 699)(150, 638)(151, 634)(152, 580)(153, 637)(154, 582)(155, 639)(156, 584)(157, 649)(158, 585)(159, 586)(160, 689)(161, 587)(162, 706)(163, 652)(164, 589)(165, 709)(166, 665)(167, 592)(168, 593)(169, 594)(170, 595)(171, 690)(172, 669)(173, 597)(174, 598)(175, 599)(176, 701)(177, 718)(178, 711)(179, 719)(180, 670)(181, 661)(182, 617)(183, 673)(184, 674)(185, 717)(186, 682)(187, 677)(188, 615)(189, 722)(190, 723)(191, 614)(192, 707)(193, 702)(194, 664)(195, 680)(196, 619)(197, 681)(198, 620)(199, 621)(200, 622)(201, 623)(202, 624)(203, 625)(204, 692)(205, 654)(206, 695)(207, 650)(208, 713)(209, 635)(210, 708)(211, 729)(212, 720)(213, 725)(214, 685)(215, 640)(216, 700)(217, 642)(218, 644)(219, 645)(220, 688)(221, 710)(222, 647)(223, 727)(224, 712)(225, 728)(226, 658)(227, 655)(228, 656)(229, 657)(230, 659)(231, 660)(232, 703)(233, 721)(234, 705)(235, 704)(236, 716)(237, 684)(238, 715)(239, 724)(240, 686)(241, 687)(242, 726)(243, 714)(244, 730)(245, 731)(246, 732)(247, 733)(248, 734)(249, 735)(250, 736)(251, 737)(252, 738)(253, 739)(254, 740)(255, 741)(256, 742)(257, 743)(258, 744)(259, 745)(260, 746)(261, 747)(262, 748)(263, 749)(264, 750)(265, 751)(266, 752)(267, 753)(268, 754)(269, 755)(270, 756)(271, 757)(272, 758)(273, 759)(274, 760)(275, 761)(276, 762)(277, 763)(278, 764)(279, 765)(280, 766)(281, 767)(282, 768)(283, 769)(284, 770)(285, 771)(286, 772)(287, 773)(288, 774)(289, 775)(290, 776)(291, 777)(292, 778)(293, 779)(294, 780)(295, 781)(296, 782)(297, 783)(298, 784)(299, 785)(300, 786)(301, 787)(302, 788)(303, 789)(304, 790)(305, 791)(306, 792)(307, 793)(308, 794)(309, 795)(310, 796)(311, 797)(312, 798)(313, 799)(314, 800)(315, 801)(316, 802)(317, 803)(318, 804)(319, 805)(320, 806)(321, 807)(322, 808)(323, 809)(324, 810)(325, 811)(326, 812)(327, 813)(328, 814)(329, 815)(330, 816)(331, 817)(332, 818)(333, 819)(334, 820)(335, 821)(336, 822)(337, 823)(338, 824)(339, 825)(340, 826)(341, 827)(342, 828)(343, 829)(344, 830)(345, 831)(346, 832)(347, 833)(348, 834)(349, 835)(350, 836)(351, 837)(352, 838)(353, 839)(354, 840)(355, 841)(356, 842)(357, 843)(358, 844)(359, 845)(360, 846)(361, 847)(362, 848)(363, 849)(364, 850)(365, 851)(366, 852)(367, 853)(368, 854)(369, 855)(370, 856)(371, 857)(372, 858)(373, 859)(374, 860)(375, 861)(376, 862)(377, 863)(378, 864)(379, 865)(380, 866)(381, 867)(382, 868)(383, 869)(384, 870)(385, 871)(386, 872)(387, 873)(388, 874)(389, 875)(390, 876)(391, 877)(392, 878)(393, 879)(394, 880)(395, 881)(396, 882)(397, 883)(398, 884)(399, 885)(400, 886)(401, 887)(402, 888)(403, 889)(404, 890)(405, 891)(406, 892)(407, 893)(408, 894)(409, 895)(410, 896)(411, 897)(412, 898)(413, 899)(414, 900)(415, 901)(416, 902)(417, 903)(418, 904)(419, 905)(420, 906)(421, 907)(422, 908)(423, 909)(424, 910)(425, 911)(426, 912)(427, 913)(428, 914)(429, 915)(430, 916)(431, 917)(432, 918)(433, 919)(434, 920)(435, 921)(436, 922)(437, 923)(438, 924)(439, 925)(440, 926)(441, 927)(442, 928)(443, 929)(444, 930)(445, 931)(446, 932)(447, 933)(448, 934)(449, 935)(450, 936)(451, 937)(452, 938)(453, 939)(454, 940)(455, 941)(456, 942)(457, 943)(458, 944)(459, 945)(460, 946)(461, 947)(462, 948)(463, 949)(464, 950)(465, 951)(466, 952)(467, 953)(468, 954)(469, 955)(470, 956)(471, 957)(472, 958)(473, 959)(474, 960)(475, 961)(476, 962)(477, 963)(478, 964)(479, 965)(480, 966)(481, 967)(482, 968)(483, 969)(484, 970)(485, 971)(486, 972)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.3179
Graph:: bipartite
	v = 108 e = 486 f = 324
	degree seq :: [ 6^81, 18^27 ]

E28.3179 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 9})
Quotient :: dipole
Aut^+ = (C9 x C9) : C3 (small group id <243, 26>)
Aut   = ((C9 x C9) : C3) : C2 (small group id <486, 61>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2)^3, (Y3 * Y2^-1)^3, (Y3^-1 * Y2^-1)^3, (Y3 * Y2^-1)^3, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^3, Y3^9, Y3 * Y2 * Y3^-4 * Y2 * Y3 * Y2^-1 * Y3^-4 * Y2^-1, (Y3^-1 * Y1^-1)^9 ]
Map:: polytopal
	R = (1, 244)(2, 245)(3, 246)(4, 247)(5, 248)(6, 249)(7, 250)(8, 251)(9, 252)(10, 253)(11, 254)(12, 255)(13, 256)(14, 257)(15, 258)(16, 259)(17, 260)(18, 261)(19, 262)(20, 263)(21, 264)(22, 265)(23, 266)(24, 267)(25, 268)(26, 269)(27, 270)(28, 271)(29, 272)(30, 273)(31, 274)(32, 275)(33, 276)(34, 277)(35, 278)(36, 279)(37, 280)(38, 281)(39, 282)(40, 283)(41, 284)(42, 285)(43, 286)(44, 287)(45, 288)(46, 289)(47, 290)(48, 291)(49, 292)(50, 293)(51, 294)(52, 295)(53, 296)(54, 297)(55, 298)(56, 299)(57, 300)(58, 301)(59, 302)(60, 303)(61, 304)(62, 305)(63, 306)(64, 307)(65, 308)(66, 309)(67, 310)(68, 311)(69, 312)(70, 313)(71, 314)(72, 315)(73, 316)(74, 317)(75, 318)(76, 319)(77, 320)(78, 321)(79, 322)(80, 323)(81, 324)(82, 325)(83, 326)(84, 327)(85, 328)(86, 329)(87, 330)(88, 331)(89, 332)(90, 333)(91, 334)(92, 335)(93, 336)(94, 337)(95, 338)(96, 339)(97, 340)(98, 341)(99, 342)(100, 343)(101, 344)(102, 345)(103, 346)(104, 347)(105, 348)(106, 349)(107, 350)(108, 351)(109, 352)(110, 353)(111, 354)(112, 355)(113, 356)(114, 357)(115, 358)(116, 359)(117, 360)(118, 361)(119, 362)(120, 363)(121, 364)(122, 365)(123, 366)(124, 367)(125, 368)(126, 369)(127, 370)(128, 371)(129, 372)(130, 373)(131, 374)(132, 375)(133, 376)(134, 377)(135, 378)(136, 379)(137, 380)(138, 381)(139, 382)(140, 383)(141, 384)(142, 385)(143, 386)(144, 387)(145, 388)(146, 389)(147, 390)(148, 391)(149, 392)(150, 393)(151, 394)(152, 395)(153, 396)(154, 397)(155, 398)(156, 399)(157, 400)(158, 401)(159, 402)(160, 403)(161, 404)(162, 405)(163, 406)(164, 407)(165, 408)(166, 409)(167, 410)(168, 411)(169, 412)(170, 413)(171, 414)(172, 415)(173, 416)(174, 417)(175, 418)(176, 419)(177, 420)(178, 421)(179, 422)(180, 423)(181, 424)(182, 425)(183, 426)(184, 427)(185, 428)(186, 429)(187, 430)(188, 431)(189, 432)(190, 433)(191, 434)(192, 435)(193, 436)(194, 437)(195, 438)(196, 439)(197, 440)(198, 441)(199, 442)(200, 443)(201, 444)(202, 445)(203, 446)(204, 447)(205, 448)(206, 449)(207, 450)(208, 451)(209, 452)(210, 453)(211, 454)(212, 455)(213, 456)(214, 457)(215, 458)(216, 459)(217, 460)(218, 461)(219, 462)(220, 463)(221, 464)(222, 465)(223, 466)(224, 467)(225, 468)(226, 469)(227, 470)(228, 471)(229, 472)(230, 473)(231, 474)(232, 475)(233, 476)(234, 477)(235, 478)(236, 479)(237, 480)(238, 481)(239, 482)(240, 483)(241, 484)(242, 485)(243, 486)(487, 730, 488, 731, 490, 733)(489, 732, 494, 737, 496, 739)(491, 734, 499, 742, 500, 743)(492, 735, 502, 745, 504, 747)(493, 736, 505, 748, 506, 749)(495, 738, 510, 753, 512, 755)(497, 740, 514, 757, 516, 759)(498, 741, 517, 760, 508, 751)(501, 744, 521, 764, 522, 765)(503, 746, 525, 768, 527, 770)(507, 750, 531, 774, 532, 775)(509, 752, 535, 778, 530, 773)(511, 754, 539, 782, 541, 784)(513, 756, 543, 786, 537, 780)(515, 758, 546, 789, 548, 791)(518, 761, 550, 793, 551, 794)(519, 762, 553, 796, 528, 771)(520, 763, 545, 788, 556, 799)(523, 766, 559, 802, 560, 803)(524, 767, 562, 805, 534, 777)(526, 769, 565, 808, 567, 810)(529, 772, 570, 813, 549, 792)(533, 776, 575, 818, 576, 819)(536, 779, 579, 822, 574, 817)(538, 781, 581, 824, 572, 815)(540, 783, 585, 828, 586, 829)(542, 785, 588, 831, 583, 826)(544, 787, 590, 833, 591, 834)(547, 790, 595, 838, 597, 840)(552, 795, 601, 844, 602, 845)(554, 797, 604, 847, 568, 811)(555, 798, 594, 837, 607, 850)(557, 800, 608, 851, 569, 812)(558, 801, 593, 836, 611, 854)(561, 804, 614, 857, 615, 858)(563, 806, 616, 859, 600, 843)(564, 807, 618, 861, 578, 821)(566, 809, 621, 864, 622, 865)(571, 814, 626, 869, 598, 841)(573, 816, 629, 872, 599, 842)(577, 820, 634, 877, 635, 878)(580, 823, 637, 880, 633, 876)(582, 825, 639, 882, 631, 874)(584, 827, 641, 884, 628, 871)(587, 830, 646, 889, 643, 886)(589, 832, 648, 891, 649, 892)(592, 835, 651, 894, 652, 895)(596, 839, 657, 900, 658, 901)(603, 846, 664, 907, 665, 908)(605, 848, 666, 909, 623, 866)(606, 849, 656, 899, 669, 912)(609, 852, 670, 913, 624, 867)(610, 853, 655, 898, 673, 916)(612, 855, 674, 917, 625, 868)(613, 856, 654, 897, 677, 920)(617, 860, 680, 923, 663, 906)(619, 862, 681, 924, 662, 905)(620, 863, 683, 926, 636, 879)(627, 870, 690, 933, 659, 902)(630, 873, 692, 935, 660, 903)(632, 875, 695, 938, 661, 904)(638, 881, 685, 928, 699, 942)(640, 883, 700, 943, 697, 940)(642, 885, 702, 945, 694, 937)(644, 887, 679, 922, 691, 934)(645, 888, 689, 932, 678, 921)(647, 890, 706, 949, 707, 950)(650, 893, 709, 952, 710, 953)(653, 896, 711, 954, 712, 955)(667, 910, 698, 941, 686, 929)(668, 911, 715, 958, 719, 962)(671, 914, 720, 963, 687, 930)(672, 915, 714, 957, 721, 964)(675, 918, 705, 948, 688, 931)(676, 919, 713, 956, 704, 947)(682, 925, 724, 967, 718, 961)(684, 927, 725, 968, 701, 944)(693, 936, 728, 971, 716, 959)(696, 939, 726, 969, 717, 960)(703, 946, 723, 966, 729, 972)(708, 951, 727, 970, 722, 965)
	L = (1, 489)(2, 492)(3, 495)(4, 497)(5, 487)(6, 503)(7, 488)(8, 508)(9, 511)(10, 505)(11, 515)(12, 490)(13, 519)(14, 520)(15, 491)(16, 500)(17, 526)(18, 517)(19, 529)(20, 530)(21, 493)(22, 534)(23, 494)(24, 537)(25, 540)(26, 535)(27, 496)(28, 506)(29, 547)(30, 499)(31, 543)(32, 498)(33, 554)(34, 555)(35, 557)(36, 558)(37, 501)(38, 502)(39, 553)(40, 566)(41, 562)(42, 504)(43, 571)(44, 572)(45, 573)(46, 574)(47, 507)(48, 578)(49, 531)(50, 509)(51, 551)(52, 510)(53, 583)(54, 561)(55, 581)(56, 512)(57, 588)(58, 513)(59, 514)(60, 570)(61, 596)(62, 556)(63, 516)(64, 590)(65, 600)(66, 518)(67, 522)(68, 605)(69, 606)(70, 521)(71, 609)(72, 610)(73, 612)(74, 613)(75, 523)(76, 550)(77, 524)(78, 525)(79, 604)(80, 577)(81, 618)(82, 527)(83, 528)(84, 532)(85, 627)(86, 628)(87, 630)(88, 631)(89, 632)(90, 633)(91, 533)(92, 636)(93, 575)(94, 536)(95, 579)(96, 538)(97, 591)(98, 539)(99, 643)(100, 641)(101, 541)(102, 646)(103, 542)(104, 648)(105, 602)(106, 544)(107, 545)(108, 546)(109, 626)(110, 603)(111, 607)(112, 548)(113, 549)(114, 662)(115, 651)(116, 663)(117, 552)(118, 608)(119, 667)(120, 668)(121, 611)(122, 560)(123, 671)(124, 672)(125, 559)(126, 675)(127, 676)(128, 678)(129, 679)(130, 601)(131, 563)(132, 616)(133, 564)(134, 565)(135, 666)(136, 683)(137, 567)(138, 568)(139, 569)(140, 629)(141, 653)(142, 691)(143, 576)(144, 693)(145, 694)(146, 696)(147, 697)(148, 698)(149, 699)(150, 638)(151, 634)(152, 580)(153, 637)(154, 582)(155, 639)(156, 584)(157, 649)(158, 585)(159, 586)(160, 689)(161, 587)(162, 706)(163, 652)(164, 589)(165, 709)(166, 665)(167, 592)(168, 593)(169, 594)(170, 595)(171, 690)(172, 669)(173, 597)(174, 598)(175, 599)(176, 701)(177, 718)(178, 711)(179, 719)(180, 670)(181, 661)(182, 617)(183, 673)(184, 674)(185, 717)(186, 682)(187, 677)(188, 615)(189, 722)(190, 723)(191, 614)(192, 707)(193, 702)(194, 664)(195, 680)(196, 619)(197, 681)(198, 620)(199, 621)(200, 622)(201, 623)(202, 624)(203, 625)(204, 692)(205, 654)(206, 695)(207, 650)(208, 713)(209, 635)(210, 708)(211, 729)(212, 720)(213, 725)(214, 685)(215, 640)(216, 700)(217, 642)(218, 644)(219, 645)(220, 688)(221, 710)(222, 647)(223, 727)(224, 712)(225, 728)(226, 658)(227, 655)(228, 656)(229, 657)(230, 659)(231, 660)(232, 703)(233, 721)(234, 705)(235, 704)(236, 716)(237, 684)(238, 715)(239, 724)(240, 686)(241, 687)(242, 726)(243, 714)(244, 730)(245, 731)(246, 732)(247, 733)(248, 734)(249, 735)(250, 736)(251, 737)(252, 738)(253, 739)(254, 740)(255, 741)(256, 742)(257, 743)(258, 744)(259, 745)(260, 746)(261, 747)(262, 748)(263, 749)(264, 750)(265, 751)(266, 752)(267, 753)(268, 754)(269, 755)(270, 756)(271, 757)(272, 758)(273, 759)(274, 760)(275, 761)(276, 762)(277, 763)(278, 764)(279, 765)(280, 766)(281, 767)(282, 768)(283, 769)(284, 770)(285, 771)(286, 772)(287, 773)(288, 774)(289, 775)(290, 776)(291, 777)(292, 778)(293, 779)(294, 780)(295, 781)(296, 782)(297, 783)(298, 784)(299, 785)(300, 786)(301, 787)(302, 788)(303, 789)(304, 790)(305, 791)(306, 792)(307, 793)(308, 794)(309, 795)(310, 796)(311, 797)(312, 798)(313, 799)(314, 800)(315, 801)(316, 802)(317, 803)(318, 804)(319, 805)(320, 806)(321, 807)(322, 808)(323, 809)(324, 810)(325, 811)(326, 812)(327, 813)(328, 814)(329, 815)(330, 816)(331, 817)(332, 818)(333, 819)(334, 820)(335, 821)(336, 822)(337, 823)(338, 824)(339, 825)(340, 826)(341, 827)(342, 828)(343, 829)(344, 830)(345, 831)(346, 832)(347, 833)(348, 834)(349, 835)(350, 836)(351, 837)(352, 838)(353, 839)(354, 840)(355, 841)(356, 842)(357, 843)(358, 844)(359, 845)(360, 846)(361, 847)(362, 848)(363, 849)(364, 850)(365, 851)(366, 852)(367, 853)(368, 854)(369, 855)(370, 856)(371, 857)(372, 858)(373, 859)(374, 860)(375, 861)(376, 862)(377, 863)(378, 864)(379, 865)(380, 866)(381, 867)(382, 868)(383, 869)(384, 870)(385, 871)(386, 872)(387, 873)(388, 874)(389, 875)(390, 876)(391, 877)(392, 878)(393, 879)(394, 880)(395, 881)(396, 882)(397, 883)(398, 884)(399, 885)(400, 886)(401, 887)(402, 888)(403, 889)(404, 890)(405, 891)(406, 892)(407, 893)(408, 894)(409, 895)(410, 896)(411, 897)(412, 898)(413, 899)(414, 900)(415, 901)(416, 902)(417, 903)(418, 904)(419, 905)(420, 906)(421, 907)(422, 908)(423, 909)(424, 910)(425, 911)(426, 912)(427, 913)(428, 914)(429, 915)(430, 916)(431, 917)(432, 918)(433, 919)(434, 920)(435, 921)(436, 922)(437, 923)(438, 924)(439, 925)(440, 926)(441, 927)(442, 928)(443, 929)(444, 930)(445, 931)(446, 932)(447, 933)(448, 934)(449, 935)(450, 936)(451, 937)(452, 938)(453, 939)(454, 940)(455, 941)(456, 942)(457, 943)(458, 944)(459, 945)(460, 946)(461, 947)(462, 948)(463, 949)(464, 950)(465, 951)(466, 952)(467, 953)(468, 954)(469, 955)(470, 956)(471, 957)(472, 958)(473, 959)(474, 960)(475, 961)(476, 962)(477, 963)(478, 964)(479, 965)(480, 966)(481, 967)(482, 968)(483, 969)(484, 970)(485, 971)(486, 972)
	local type(s) :: { ( 6, 18 ), ( 6, 18, 6, 18, 6, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.3178
Graph:: simple bipartite
	v = 324 e = 486 f = 108
	degree seq :: [ 2^243, 6^81 ]

E28.3180 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 3, 9})
Quotient :: edge
Aut^+ = (C9 : C9) : C3 (small group id <243, 28>)
Aut   = (C9 : C9) : C3 (small group id <243, 28>)
|r| :: 1
Presentation :: [ X1^3, (X2^-1 * X1^-1)^3, (X2 * X1)^3, X2^9, (X2^-2 * X1)^3, X2^2 * X1 * X2^-4 * X1 * X2^-1 * X1, X2^2 * X1 * X2^-1 * X1^-1 * X2 * X1 * X2^-2 * X1^-1, X2^-1 * X1^-1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1 * X2^-2 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 4)(3, 8, 10)(5, 13, 14)(6, 16, 18)(7, 19, 20)(9, 24, 26)(11, 29, 31)(12, 32, 22)(15, 37, 38)(17, 41, 43)(21, 49, 50)(23, 53, 54)(25, 58, 60)(27, 63, 65)(28, 66, 56)(30, 69, 71)(33, 76, 77)(34, 79, 81)(35, 82, 83)(36, 85, 87)(39, 91, 92)(40, 94, 95)(42, 99, 101)(44, 104, 106)(45, 107, 97)(46, 109, 111)(47, 112, 113)(48, 115, 117)(51, 120, 121)(52, 123, 125)(55, 129, 108)(57, 132, 103)(59, 136, 110)(61, 139, 140)(62, 141, 134)(64, 144, 84)(67, 149, 150)(68, 152, 153)(70, 155, 157)(72, 159, 160)(73, 161, 154)(74, 163, 165)(75, 166, 167)(78, 171, 172)(80, 156, 128)(86, 147, 181)(88, 183, 184)(89, 142, 185)(90, 186, 122)(93, 170, 189)(96, 192, 162)(98, 194, 158)(100, 196, 164)(102, 199, 200)(105, 202, 114)(116, 204, 137)(118, 214, 179)(119, 215, 173)(124, 218, 197)(126, 206, 187)(127, 198, 175)(130, 220, 217)(131, 216, 190)(133, 221, 168)(135, 174, 213)(138, 225, 224)(143, 209, 227)(145, 203, 229)(146, 193, 228)(148, 211, 230)(151, 231, 232)(169, 222, 212)(176, 223, 235)(177, 210, 239)(178, 240, 236)(180, 233, 237)(182, 195, 207)(188, 219, 241)(191, 234, 208)(201, 238, 242)(205, 226, 243)(244, 246, 252, 268, 302, 336, 282, 258, 248)(245, 249, 260, 285, 343, 365, 294, 264, 250)(247, 254, 273, 313, 399, 416, 321, 276, 255)(251, 265, 295, 367, 425, 330, 373, 298, 266)(253, 270, 307, 341, 284, 340, 394, 310, 271)(256, 277, 323, 418, 445, 484, 422, 327, 278)(257, 279, 329, 423, 360, 436, 339, 283, 259)(261, 287, 348, 384, 312, 397, 449, 351, 288)(262, 289, 353, 451, 464, 463, 455, 357, 290)(263, 291, 359, 456, 368, 462, 392, 311, 272)(267, 299, 374, 405, 316, 274, 315, 376, 300)(269, 304, 292, 361, 366, 410, 469, 385, 305)(275, 317, 407, 468, 387, 471, 427, 411, 318)(280, 331, 358, 356, 454, 442, 401, 314, 332)(281, 333, 408, 481, 479, 404, 461, 417, 322)(286, 345, 319, 412, 328, 326, 421, 382, 346)(293, 362, 324, 419, 391, 309, 390, 450, 352)(296, 369, 432, 443, 478, 402, 396, 439, 370)(297, 371, 434, 337, 433, 429, 428, 386, 306)(301, 377, 465, 415, 389, 308, 388, 466, 378)(303, 380, 372, 363, 459, 473, 420, 325, 381)(320, 413, 354, 452, 448, 350, 447, 480, 406)(334, 430, 483, 482, 409, 477, 400, 424, 393)(335, 431, 349, 446, 470, 438, 342, 375, 426)(338, 379, 467, 395, 475, 458, 383, 444, 347)(344, 440, 435, 414, 474, 486, 453, 355, 441)(364, 460, 403, 472, 485, 476, 398, 437, 457)
	L = (1, 244)(2, 245)(3, 246)(4, 247)(5, 248)(6, 249)(7, 250)(8, 251)(9, 252)(10, 253)(11, 254)(12, 255)(13, 256)(14, 257)(15, 258)(16, 259)(17, 260)(18, 261)(19, 262)(20, 263)(21, 264)(22, 265)(23, 266)(24, 267)(25, 268)(26, 269)(27, 270)(28, 271)(29, 272)(30, 273)(31, 274)(32, 275)(33, 276)(34, 277)(35, 278)(36, 279)(37, 280)(38, 281)(39, 282)(40, 283)(41, 284)(42, 285)(43, 286)(44, 287)(45, 288)(46, 289)(47, 290)(48, 291)(49, 292)(50, 293)(51, 294)(52, 295)(53, 296)(54, 297)(55, 298)(56, 299)(57, 300)(58, 301)(59, 302)(60, 303)(61, 304)(62, 305)(63, 306)(64, 307)(65, 308)(66, 309)(67, 310)(68, 311)(69, 312)(70, 313)(71, 314)(72, 315)(73, 316)(74, 317)(75, 318)(76, 319)(77, 320)(78, 321)(79, 322)(80, 323)(81, 324)(82, 325)(83, 326)(84, 327)(85, 328)(86, 329)(87, 330)(88, 331)(89, 332)(90, 333)(91, 334)(92, 335)(93, 336)(94, 337)(95, 338)(96, 339)(97, 340)(98, 341)(99, 342)(100, 343)(101, 344)(102, 345)(103, 346)(104, 347)(105, 348)(106, 349)(107, 350)(108, 351)(109, 352)(110, 353)(111, 354)(112, 355)(113, 356)(114, 357)(115, 358)(116, 359)(117, 360)(118, 361)(119, 362)(120, 363)(121, 364)(122, 365)(123, 366)(124, 367)(125, 368)(126, 369)(127, 370)(128, 371)(129, 372)(130, 373)(131, 374)(132, 375)(133, 376)(134, 377)(135, 378)(136, 379)(137, 380)(138, 381)(139, 382)(140, 383)(141, 384)(142, 385)(143, 386)(144, 387)(145, 388)(146, 389)(147, 390)(148, 391)(149, 392)(150, 393)(151, 394)(152, 395)(153, 396)(154, 397)(155, 398)(156, 399)(157, 400)(158, 401)(159, 402)(160, 403)(161, 404)(162, 405)(163, 406)(164, 407)(165, 408)(166, 409)(167, 410)(168, 411)(169, 412)(170, 413)(171, 414)(172, 415)(173, 416)(174, 417)(175, 418)(176, 419)(177, 420)(178, 421)(179, 422)(180, 423)(181, 424)(182, 425)(183, 426)(184, 427)(185, 428)(186, 429)(187, 430)(188, 431)(189, 432)(190, 433)(191, 434)(192, 435)(193, 436)(194, 437)(195, 438)(196, 439)(197, 440)(198, 441)(199, 442)(200, 443)(201, 444)(202, 445)(203, 446)(204, 447)(205, 448)(206, 449)(207, 450)(208, 451)(209, 452)(210, 453)(211, 454)(212, 455)(213, 456)(214, 457)(215, 458)(216, 459)(217, 460)(218, 461)(219, 462)(220, 463)(221, 464)(222, 465)(223, 466)(224, 467)(225, 468)(226, 469)(227, 470)(228, 471)(229, 472)(230, 473)(231, 474)(232, 475)(233, 476)(234, 477)(235, 478)(236, 479)(237, 480)(238, 481)(239, 482)(240, 483)(241, 484)(242, 485)(243, 486)
	local type(s) :: { ( 6^3 ), ( 6^9 ) }
Outer automorphisms :: chiral
Dual of E28.3183
Transitivity :: ET+
Graph:: simple bipartite
	v = 108 e = 243 f = 81
	degree seq :: [ 3^81, 9^27 ]

E28.3181 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 3, 9})
Quotient :: edge
Aut^+ = (C9 : C9) : C3 (small group id <243, 28>)
Aut   = (C9 : C9) : C3 (small group id <243, 28>)
|r| :: 1
Presentation :: [ X1^3, (X1 * X2)^3, (X2^-1 * X1^-1)^3, X2^2 * X1 * X2^-3 * X1^-1 * X2, (X2 * X1^-1 * X2)^3, X2^9, X2^4 * X1 * X2 * X1 * X2^-2 * X1, X2 * X1 * X2^-1 * X1^-1 * X2 * X1^-1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 4)(3, 8, 10)(5, 13, 14)(6, 16, 18)(7, 19, 20)(9, 24, 26)(11, 29, 31)(12, 32, 22)(15, 37, 38)(17, 41, 43)(21, 49, 50)(23, 53, 54)(25, 42, 59)(27, 62, 64)(28, 65, 56)(30, 68, 69)(33, 74, 75)(34, 77, 78)(35, 79, 80)(36, 82, 83)(39, 51, 76)(40, 86, 87)(44, 94, 96)(45, 97, 89)(46, 99, 100)(47, 101, 102)(48, 104, 105)(52, 107, 109)(55, 113, 114)(57, 116, 117)(58, 108, 118)(60, 120, 121)(61, 122, 91)(63, 124, 81)(66, 129, 130)(67, 131, 132)(70, 136, 138)(71, 139, 134)(72, 141, 142)(73, 143, 144)(84, 156, 157)(85, 152, 88)(90, 162, 163)(92, 164, 165)(93, 166, 119)(95, 168, 103)(98, 173, 174)(106, 181, 133)(110, 188, 189)(111, 190, 177)(112, 192, 170)(115, 193, 158)(123, 171, 196)(125, 199, 201)(126, 202, 197)(127, 204, 205)(128, 182, 206)(135, 209, 191)(137, 210, 145)(140, 215, 216)(146, 187, 223)(147, 200, 183)(148, 208, 194)(149, 198, 180)(150, 224, 225)(151, 220, 226)(153, 227, 214)(154, 218, 228)(155, 229, 175)(159, 230, 219)(160, 231, 212)(161, 232, 207)(167, 213, 234)(169, 236, 203)(172, 185, 239)(176, 237, 186)(178, 235, 222)(179, 240, 195)(184, 241, 217)(211, 243, 238)(221, 242, 233)(244, 246, 252, 268, 301, 328, 282, 258, 248)(245, 249, 260, 285, 334, 349, 294, 264, 250)(247, 254, 273, 302, 362, 356, 319, 276, 255)(251, 265, 295, 351, 312, 327, 280, 298, 266)(253, 270, 306, 361, 389, 320, 281, 309, 271)(256, 277, 300, 267, 299, 358, 395, 324, 278)(257, 279, 304, 269, 303, 292, 331, 283, 259)(261, 287, 338, 365, 418, 342, 293, 341, 288)(262, 289, 333, 284, 332, 404, 424, 346, 290)(263, 291, 336, 286, 335, 317, 376, 310, 272)(274, 313, 380, 409, 460, 384, 318, 383, 314)(275, 315, 378, 311, 377, 431, 357, 388, 316)(296, 353, 428, 350, 387, 465, 399, 434, 354)(297, 355, 430, 352, 429, 372, 400, 366, 305)(307, 368, 443, 466, 486, 447, 373, 446, 369)(308, 370, 441, 367, 440, 391, 321, 390, 371)(322, 392, 438, 359, 437, 485, 436, 449, 393)(323, 394, 363, 360, 402, 329, 401, 396, 325)(326, 397, 416, 364, 410, 337, 330, 403, 398)(339, 412, 480, 472, 442, 439, 417, 481, 413)(340, 414, 478, 411, 435, 420, 343, 419, 415)(344, 421, 476, 405, 433, 467, 475, 482, 422)(345, 423, 407, 406, 451, 374, 450, 425, 347)(348, 426, 458, 408, 448, 379, 375, 445, 427)(381, 454, 471, 484, 479, 477, 459, 444, 455)(382, 456, 469, 453, 474, 462, 385, 461, 457)(386, 463, 468, 452, 473, 483, 432, 470, 464)
	L = (1, 244)(2, 245)(3, 246)(4, 247)(5, 248)(6, 249)(7, 250)(8, 251)(9, 252)(10, 253)(11, 254)(12, 255)(13, 256)(14, 257)(15, 258)(16, 259)(17, 260)(18, 261)(19, 262)(20, 263)(21, 264)(22, 265)(23, 266)(24, 267)(25, 268)(26, 269)(27, 270)(28, 271)(29, 272)(30, 273)(31, 274)(32, 275)(33, 276)(34, 277)(35, 278)(36, 279)(37, 280)(38, 281)(39, 282)(40, 283)(41, 284)(42, 285)(43, 286)(44, 287)(45, 288)(46, 289)(47, 290)(48, 291)(49, 292)(50, 293)(51, 294)(52, 295)(53, 296)(54, 297)(55, 298)(56, 299)(57, 300)(58, 301)(59, 302)(60, 303)(61, 304)(62, 305)(63, 306)(64, 307)(65, 308)(66, 309)(67, 310)(68, 311)(69, 312)(70, 313)(71, 314)(72, 315)(73, 316)(74, 317)(75, 318)(76, 319)(77, 320)(78, 321)(79, 322)(80, 323)(81, 324)(82, 325)(83, 326)(84, 327)(85, 328)(86, 329)(87, 330)(88, 331)(89, 332)(90, 333)(91, 334)(92, 335)(93, 336)(94, 337)(95, 338)(96, 339)(97, 340)(98, 341)(99, 342)(100, 343)(101, 344)(102, 345)(103, 346)(104, 347)(105, 348)(106, 349)(107, 350)(108, 351)(109, 352)(110, 353)(111, 354)(112, 355)(113, 356)(114, 357)(115, 358)(116, 359)(117, 360)(118, 361)(119, 362)(120, 363)(121, 364)(122, 365)(123, 366)(124, 367)(125, 368)(126, 369)(127, 370)(128, 371)(129, 372)(130, 373)(131, 374)(132, 375)(133, 376)(134, 377)(135, 378)(136, 379)(137, 380)(138, 381)(139, 382)(140, 383)(141, 384)(142, 385)(143, 386)(144, 387)(145, 388)(146, 389)(147, 390)(148, 391)(149, 392)(150, 393)(151, 394)(152, 395)(153, 396)(154, 397)(155, 398)(156, 399)(157, 400)(158, 401)(159, 402)(160, 403)(161, 404)(162, 405)(163, 406)(164, 407)(165, 408)(166, 409)(167, 410)(168, 411)(169, 412)(170, 413)(171, 414)(172, 415)(173, 416)(174, 417)(175, 418)(176, 419)(177, 420)(178, 421)(179, 422)(180, 423)(181, 424)(182, 425)(183, 426)(184, 427)(185, 428)(186, 429)(187, 430)(188, 431)(189, 432)(190, 433)(191, 434)(192, 435)(193, 436)(194, 437)(195, 438)(196, 439)(197, 440)(198, 441)(199, 442)(200, 443)(201, 444)(202, 445)(203, 446)(204, 447)(205, 448)(206, 449)(207, 450)(208, 451)(209, 452)(210, 453)(211, 454)(212, 455)(213, 456)(214, 457)(215, 458)(216, 459)(217, 460)(218, 461)(219, 462)(220, 463)(221, 464)(222, 465)(223, 466)(224, 467)(225, 468)(226, 469)(227, 470)(228, 471)(229, 472)(230, 473)(231, 474)(232, 475)(233, 476)(234, 477)(235, 478)(236, 479)(237, 480)(238, 481)(239, 482)(240, 483)(241, 484)(242, 485)(243, 486)
	local type(s) :: { ( 6^3 ), ( 6^9 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 108 e = 243 f = 81
	degree seq :: [ 3^81, 9^27 ]

E28.3182 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 3, 9})
Quotient :: loop
Aut^+ = (C9 : C9) : C3 (small group id <243, 28>)
Aut   = (C9 : C9) : C3 (small group id <243, 28>)
|r| :: 1
Presentation :: [ X1^3, X2^3, X2 * X1 * X2^-1 * X1^-1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1^-1 * X2 * X1^-1, X2 * X1^-1 * X2 * X1 * X2^-1 * X1^-1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1^-1, (X2 * X1 * X2 * X1^-1)^3, X2 * X1 * X2^-1 * X1 * X2^-1 * X1^-1 * X2 * X1^-1 * X2 * X1 * X2^-1 * X1^-1, X1 * X2 * X1^-1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1^-1 * X2 * X1^-1 * X2^-1, (X2^-1 * X1^-1 * X2 * X1^-1)^3, (X1^-1 * X2^-1 * X1 * X2^-1)^3, X2^-1 * X1^-1 * X2 * X1 * X2 * X1 * X2 * X1 * X2^-1 * X1^-1 * X2^-1 * X1^-1, X2 * X1^-1 * X2 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1 * X2^-1 * X1 * X2^-1 * X1^-1 * X2^-1 * X1^-1, (X1^-1 * X2^-1)^9 ]
Map:: polytopal non-degenerate
	R = (1, 244, 2, 245, 4, 247)(3, 246, 8, 251, 9, 252)(5, 248, 12, 255, 13, 256)(6, 249, 14, 257, 15, 258)(7, 250, 16, 259, 17, 260)(10, 253, 22, 265, 23, 266)(11, 254, 24, 267, 25, 268)(18, 261, 38, 281, 39, 282)(19, 262, 40, 283, 41, 284)(20, 263, 42, 285, 43, 286)(21, 264, 44, 287, 45, 288)(26, 269, 54, 297, 55, 298)(27, 270, 56, 299, 57, 300)(28, 271, 58, 301, 59, 302)(29, 272, 60, 303, 61, 304)(30, 273, 62, 305, 63, 306)(31, 274, 64, 307, 65, 308)(32, 275, 66, 309, 67, 310)(33, 276, 68, 311, 69, 312)(34, 277, 70, 313, 71, 314)(35, 278, 72, 315, 73, 316)(36, 279, 74, 317, 75, 318)(37, 280, 76, 319, 77, 320)(46, 289, 94, 337, 95, 338)(47, 290, 96, 339, 97, 340)(48, 291, 98, 341, 99, 342)(49, 292, 100, 343, 101, 344)(50, 293, 102, 345, 103, 346)(51, 294, 104, 347, 105, 348)(52, 295, 106, 349, 107, 350)(53, 296, 108, 351, 109, 352)(78, 321, 126, 369, 158, 401)(79, 322, 159, 402, 160, 403)(80, 323, 155, 398, 161, 404)(81, 324, 162, 405, 163, 406)(82, 325, 164, 407, 165, 408)(83, 326, 166, 409, 139, 382)(84, 327, 144, 387, 167, 410)(85, 328, 168, 411, 169, 412)(86, 329, 170, 413, 171, 414)(87, 330, 172, 415, 137, 380)(88, 331, 173, 416, 174, 417)(89, 332, 175, 418, 176, 419)(90, 333, 177, 420, 152, 395)(91, 334, 178, 421, 179, 422)(92, 335, 180, 423, 130, 373)(93, 336, 181, 424, 182, 425)(110, 353, 127, 370, 206, 449)(111, 354, 203, 446, 207, 450)(112, 355, 208, 451, 187, 430)(113, 356, 148, 391, 209, 452)(114, 357, 210, 453, 151, 394)(115, 358, 211, 454, 212, 455)(116, 359, 213, 456, 197, 440)(117, 360, 134, 377, 214, 457)(118, 361, 129, 372, 215, 458)(119, 362, 198, 441, 216, 459)(120, 363, 192, 435, 217, 460)(121, 364, 218, 461, 143, 386)(122, 365, 133, 376, 219, 462)(123, 366, 220, 463, 184, 427)(124, 367, 141, 384, 221, 464)(125, 368, 157, 400, 205, 448)(128, 371, 204, 447, 222, 465)(131, 374, 223, 466, 193, 436)(132, 375, 196, 439, 224, 467)(135, 378, 225, 468, 191, 434)(136, 379, 226, 469, 227, 470)(138, 381, 228, 471, 202, 445)(140, 383, 229, 472, 186, 429)(142, 385, 183, 426, 230, 473)(145, 388, 200, 443, 231, 474)(146, 389, 232, 475, 201, 444)(147, 390, 233, 476, 234, 477)(149, 392, 189, 432, 235, 478)(150, 393, 185, 428, 236, 479)(153, 396, 237, 480, 195, 438)(154, 397, 188, 431, 238, 481)(156, 399, 194, 437, 239, 482)(190, 433, 242, 485, 241, 484)(199, 442, 243, 486, 240, 483)
	L = (1, 246)(2, 249)(3, 248)(4, 253)(5, 244)(6, 250)(7, 245)(8, 261)(9, 263)(10, 254)(11, 247)(12, 269)(13, 271)(14, 273)(15, 275)(16, 277)(17, 279)(18, 262)(19, 251)(20, 264)(21, 252)(22, 289)(23, 291)(24, 293)(25, 295)(26, 270)(27, 255)(28, 272)(29, 256)(30, 274)(31, 257)(32, 276)(33, 258)(34, 278)(35, 259)(36, 280)(37, 260)(38, 321)(39, 323)(40, 325)(41, 327)(42, 329)(43, 331)(44, 333)(45, 335)(46, 290)(47, 265)(48, 292)(49, 266)(50, 294)(51, 267)(52, 296)(53, 268)(54, 353)(55, 355)(56, 357)(57, 359)(58, 361)(59, 363)(60, 365)(61, 367)(62, 369)(63, 371)(64, 373)(65, 375)(66, 377)(67, 379)(68, 381)(69, 383)(70, 385)(71, 387)(72, 389)(73, 391)(74, 393)(75, 395)(76, 397)(77, 399)(78, 322)(79, 281)(80, 324)(81, 282)(82, 326)(83, 283)(84, 328)(85, 284)(86, 330)(87, 285)(88, 332)(89, 286)(90, 334)(91, 287)(92, 336)(93, 288)(94, 401)(95, 427)(96, 429)(97, 430)(98, 432)(99, 433)(100, 435)(101, 407)(102, 403)(103, 439)(104, 441)(105, 443)(106, 406)(107, 445)(108, 412)(109, 425)(110, 354)(111, 297)(112, 356)(113, 298)(114, 358)(115, 299)(116, 360)(117, 300)(118, 362)(119, 301)(120, 364)(121, 302)(122, 366)(123, 303)(124, 368)(125, 304)(126, 370)(127, 305)(128, 372)(129, 306)(130, 374)(131, 307)(132, 376)(133, 308)(134, 378)(135, 309)(136, 380)(137, 310)(138, 382)(139, 311)(140, 384)(141, 312)(142, 386)(143, 313)(144, 388)(145, 314)(146, 390)(147, 315)(148, 392)(149, 316)(150, 394)(151, 317)(152, 396)(153, 318)(154, 398)(155, 319)(156, 400)(157, 320)(158, 426)(159, 464)(160, 438)(161, 468)(162, 466)(163, 444)(164, 437)(165, 456)(166, 483)(167, 462)(168, 470)(169, 447)(170, 449)(171, 348)(172, 475)(173, 471)(174, 467)(175, 341)(176, 453)(177, 450)(178, 339)(179, 477)(180, 452)(181, 457)(182, 448)(183, 337)(184, 428)(185, 338)(186, 421)(187, 431)(188, 340)(189, 418)(190, 434)(191, 342)(192, 436)(193, 343)(194, 344)(195, 345)(196, 440)(197, 346)(198, 442)(199, 347)(200, 414)(201, 349)(202, 446)(203, 350)(204, 351)(205, 352)(206, 482)(207, 485)(208, 411)(209, 486)(210, 465)(211, 472)(212, 405)(213, 476)(214, 473)(215, 422)(216, 404)(217, 480)(218, 416)(219, 484)(220, 415)(221, 478)(222, 419)(223, 455)(224, 481)(225, 459)(226, 460)(227, 451)(228, 461)(229, 474)(230, 424)(231, 454)(232, 463)(233, 408)(234, 458)(235, 402)(236, 409)(237, 469)(238, 417)(239, 413)(240, 479)(241, 410)(242, 420)(243, 423)
	local type(s) :: { ( 3, 9, 3, 9, 3, 9 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: simple
	v = 81 e = 243 f = 108
	degree seq :: [ 6^81 ]

E28.3183 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 3, 9})
Quotient :: loop
Aut^+ = (C9 : C9) : C3 (small group id <243, 28>)
Aut   = (C9 : C9) : C3 (small group id <243, 28>)
|r| :: 1
Presentation :: [ X1^3, X2^3, X2 * X1^-1 * X2 * X1^-1 * X2^-1 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1^-1, X2 * X1 * X2^-1 * X1^-1 * X2 * X1 * X2 * X1 * X2^-1 * X1^-1 * X2^-1 * X1^-1, X2 * X1 * X2 * X1 * X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2 * X1 * X2^-1 * X1^-1, (X2 * X1^-1 * X2^-1 * X1^-1)^3, X1 * X2 * X1 * X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2 * X1 * X2^-1 * X1^-1 * X2, (X2^-1 * X1 * X2^-1 * X1^-1)^3, (X2 * X1^-1 * X2^-1 * X1^-1)^3, X2 * X1^-1 * X2^-1 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1^-1 * X2 * X1^-1, X2 * X1 * X2 * X1 * X2 * X1^-1 * X2 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2 * X1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 244, 2, 245, 4, 247)(3, 246, 8, 251, 9, 252)(5, 248, 12, 255, 13, 256)(6, 249, 14, 257, 15, 258)(7, 250, 16, 259, 17, 260)(10, 253, 22, 265, 23, 266)(11, 254, 24, 267, 25, 268)(18, 261, 38, 281, 39, 282)(19, 262, 40, 283, 41, 284)(20, 263, 42, 285, 43, 286)(21, 264, 44, 287, 45, 288)(26, 269, 54, 297, 55, 298)(27, 270, 56, 299, 57, 300)(28, 271, 58, 301, 59, 302)(29, 272, 60, 303, 61, 304)(30, 273, 62, 305, 63, 306)(31, 274, 64, 307, 65, 308)(32, 275, 66, 309, 67, 310)(33, 276, 68, 311, 69, 312)(34, 277, 70, 313, 71, 314)(35, 278, 72, 315, 73, 316)(36, 279, 74, 317, 75, 318)(37, 280, 76, 319, 77, 320)(46, 289, 94, 337, 95, 338)(47, 290, 96, 339, 97, 340)(48, 291, 98, 341, 99, 342)(49, 292, 100, 343, 101, 344)(50, 293, 102, 345, 103, 346)(51, 294, 104, 347, 105, 348)(52, 295, 106, 349, 107, 350)(53, 296, 108, 351, 109, 352)(78, 321, 158, 401, 159, 402)(79, 322, 160, 403, 138, 381)(80, 323, 155, 398, 161, 404)(81, 324, 162, 405, 163, 406)(82, 325, 164, 407, 165, 408)(83, 326, 146, 389, 166, 409)(84, 327, 129, 372, 167, 410)(85, 328, 168, 411, 169, 412)(86, 329, 170, 413, 171, 414)(87, 330, 144, 387, 172, 415)(88, 331, 136, 379, 173, 416)(89, 332, 152, 395, 174, 417)(90, 333, 175, 418, 176, 419)(91, 334, 148, 391, 177, 420)(92, 335, 178, 421, 130, 373)(93, 336, 179, 422, 180, 423)(110, 353, 206, 449, 150, 393)(111, 354, 201, 444, 207, 450)(112, 355, 208, 451, 188, 431)(113, 356, 133, 376, 209, 452)(114, 357, 210, 453, 185, 428)(115, 358, 147, 390, 197, 440)(116, 359, 211, 454, 191, 434)(117, 360, 134, 377, 212, 455)(118, 361, 193, 436, 213, 456)(119, 362, 214, 457, 141, 384)(120, 363, 215, 458, 189, 432)(121, 364, 216, 459, 143, 386)(122, 365, 217, 460, 156, 399)(123, 366, 218, 461, 182, 425)(124, 367, 202, 445, 219, 462)(125, 368, 220, 463, 221, 464)(126, 369, 222, 465, 223, 466)(127, 370, 224, 467, 190, 433)(128, 371, 203, 446, 225, 468)(131, 374, 196, 439, 226, 469)(132, 375, 183, 426, 227, 470)(135, 378, 195, 438, 228, 471)(137, 380, 200, 443, 229, 472)(139, 382, 198, 441, 230, 473)(140, 383, 231, 474, 184, 427)(142, 385, 232, 475, 199, 442)(145, 388, 186, 429, 233, 476)(149, 392, 187, 430, 234, 477)(151, 394, 235, 478, 192, 435)(153, 396, 236, 479, 194, 437)(154, 397, 237, 480, 204, 447)(157, 400, 238, 481, 239, 482)(181, 424, 241, 484, 243, 486)(205, 448, 240, 483, 242, 485)
	L = (1, 246)(2, 249)(3, 248)(4, 253)(5, 244)(6, 250)(7, 245)(8, 261)(9, 263)(10, 254)(11, 247)(12, 269)(13, 271)(14, 273)(15, 275)(16, 277)(17, 279)(18, 262)(19, 251)(20, 264)(21, 252)(22, 289)(23, 291)(24, 293)(25, 295)(26, 270)(27, 255)(28, 272)(29, 256)(30, 274)(31, 257)(32, 276)(33, 258)(34, 278)(35, 259)(36, 280)(37, 260)(38, 321)(39, 323)(40, 325)(41, 327)(42, 329)(43, 331)(44, 333)(45, 335)(46, 290)(47, 265)(48, 292)(49, 266)(50, 294)(51, 267)(52, 296)(53, 268)(54, 353)(55, 355)(56, 357)(57, 359)(58, 361)(59, 363)(60, 365)(61, 367)(62, 369)(63, 371)(64, 373)(65, 375)(66, 377)(67, 379)(68, 381)(69, 383)(70, 385)(71, 387)(72, 389)(73, 391)(74, 393)(75, 395)(76, 397)(77, 399)(78, 322)(79, 281)(80, 324)(81, 282)(82, 326)(83, 283)(84, 328)(85, 284)(86, 330)(87, 285)(88, 332)(89, 286)(90, 334)(91, 287)(92, 336)(93, 288)(94, 424)(95, 425)(96, 427)(97, 406)(98, 430)(99, 416)(100, 433)(101, 407)(102, 436)(103, 438)(104, 439)(105, 441)(106, 442)(107, 443)(108, 445)(109, 447)(110, 354)(111, 297)(112, 356)(113, 298)(114, 358)(115, 299)(116, 360)(117, 300)(118, 362)(119, 301)(120, 364)(121, 302)(122, 366)(123, 303)(124, 368)(125, 304)(126, 370)(127, 305)(128, 372)(129, 306)(130, 374)(131, 307)(132, 376)(133, 308)(134, 378)(135, 309)(136, 380)(137, 310)(138, 382)(139, 311)(140, 384)(141, 312)(142, 386)(143, 313)(144, 388)(145, 314)(146, 390)(147, 315)(148, 392)(149, 316)(150, 394)(151, 317)(152, 396)(153, 318)(154, 398)(155, 319)(156, 400)(157, 320)(158, 470)(159, 475)(160, 462)(161, 458)(162, 450)(163, 429)(164, 435)(165, 457)(166, 461)(167, 459)(168, 482)(169, 346)(170, 467)(171, 348)(172, 452)(173, 432)(174, 453)(175, 337)(176, 480)(177, 466)(178, 478)(179, 349)(180, 481)(181, 418)(182, 426)(183, 338)(184, 428)(185, 339)(186, 340)(187, 431)(188, 341)(189, 342)(190, 434)(191, 343)(192, 344)(193, 437)(194, 345)(195, 412)(196, 440)(197, 347)(198, 414)(199, 422)(200, 444)(201, 350)(202, 446)(203, 351)(204, 448)(205, 352)(206, 473)(207, 465)(208, 411)(209, 485)(210, 468)(211, 402)(212, 419)(213, 420)(214, 483)(215, 469)(216, 484)(217, 413)(218, 472)(219, 477)(220, 421)(221, 471)(222, 405)(223, 456)(224, 460)(225, 417)(226, 404)(227, 479)(228, 476)(229, 409)(230, 486)(231, 423)(232, 454)(233, 464)(234, 403)(235, 463)(236, 401)(237, 455)(238, 474)(239, 451)(240, 408)(241, 410)(242, 415)(243, 449)
	local type(s) :: { ( 3, 9, 3, 9, 3, 9 ) }
Outer automorphisms :: chiral
Dual of E28.3180
Transitivity :: ET+ VT+
Graph:: simple
	v = 81 e = 243 f = 108
	degree seq :: [ 6^81 ]

E28.3184 :: Family: { 2*ex } :: Oriented family(ies): { E3c }
Signature :: (0; {3, 3, 9})
Quotient :: loop
Aut^+ = (C9 : C9) : C3 (small group id <243, 28>)
Aut   = ((C9 : C9) : C3) : C2 (small group id <486, 39>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^3, F * T1 * F * T2, (T2 * T1 * T2 * T1^-1)^3, T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2^-1 * T1^-1, T2 * T1^-1 * T2 * T1 * T2^-1 * T1^-1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1, T2 * T1 * T2^-1 * T1^-1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2 * T1^-1, T1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1, T2^-1 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T2^-1 * T1^-1 * T2 * T1^-1)^3, (T1^-1 * T2^-1 * T1 * T2^-1)^3, T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T1^-1 * T2^-1)^9 ]
Map:: polytopal non-degenerate
	R = (1, 3, 5)(2, 6, 7)(4, 10, 11)(8, 18, 19)(9, 20, 21)(12, 26, 27)(13, 28, 29)(14, 30, 31)(15, 32, 33)(16, 34, 35)(17, 36, 37)(22, 46, 47)(23, 48, 49)(24, 50, 51)(25, 52, 53)(38, 78, 79)(39, 80, 81)(40, 82, 83)(41, 84, 85)(42, 86, 87)(43, 88, 89)(44, 90, 91)(45, 92, 93)(54, 110, 111)(55, 112, 113)(56, 114, 115)(57, 116, 117)(58, 118, 119)(59, 120, 121)(60, 122, 123)(61, 124, 125)(62, 126, 127)(63, 128, 129)(64, 130, 131)(65, 132, 133)(66, 134, 135)(67, 136, 137)(68, 138, 139)(69, 140, 141)(70, 142, 143)(71, 144, 145)(72, 146, 147)(73, 148, 149)(74, 150, 151)(75, 152, 153)(76, 154, 155)(77, 156, 157)(94, 158, 183)(95, 184, 185)(96, 186, 178)(97, 187, 188)(98, 189, 175)(99, 190, 191)(100, 192, 193)(101, 164, 194)(102, 160, 195)(103, 196, 197)(104, 198, 199)(105, 200, 171)(106, 163, 201)(107, 202, 203)(108, 169, 204)(109, 182, 205)(159, 221, 235)(161, 225, 216)(162, 223, 212)(165, 213, 233)(166, 240, 236)(167, 219, 241)(168, 227, 208)(170, 206, 239)(172, 232, 220)(173, 228, 218)(174, 224, 238)(176, 210, 222)(177, 207, 242)(179, 234, 215)(180, 209, 243)(181, 214, 230)(211, 229, 231)(217, 237, 226)(244, 245, 247)(246, 251, 252)(248, 255, 256)(249, 257, 258)(250, 259, 260)(253, 265, 266)(254, 267, 268)(261, 281, 282)(262, 283, 284)(263, 285, 286)(264, 287, 288)(269, 297, 298)(270, 299, 300)(271, 301, 302)(272, 303, 304)(273, 305, 306)(274, 307, 308)(275, 309, 310)(276, 311, 312)(277, 313, 314)(278, 315, 316)(279, 317, 318)(280, 319, 320)(289, 337, 338)(290, 339, 340)(291, 341, 342)(292, 343, 344)(293, 345, 346)(294, 347, 348)(295, 349, 350)(296, 351, 352)(321, 369, 401)(322, 402, 403)(323, 398, 404)(324, 405, 406)(325, 407, 408)(326, 409, 382)(327, 387, 410)(328, 411, 412)(329, 413, 414)(330, 415, 380)(331, 416, 417)(332, 418, 419)(333, 420, 395)(334, 421, 422)(335, 423, 373)(336, 424, 425)(353, 370, 449)(354, 446, 450)(355, 451, 430)(356, 391, 452)(357, 453, 394)(358, 454, 455)(359, 456, 440)(360, 377, 457)(361, 372, 458)(362, 441, 459)(363, 435, 460)(364, 461, 386)(365, 376, 462)(366, 463, 427)(367, 384, 464)(368, 400, 448)(371, 447, 465)(374, 466, 436)(375, 439, 467)(378, 468, 434)(379, 469, 470)(381, 471, 445)(383, 472, 429)(385, 426, 473)(388, 443, 474)(389, 475, 444)(390, 476, 477)(392, 432, 478)(393, 428, 479)(396, 480, 438)(397, 431, 481)(399, 437, 482)(433, 485, 484)(442, 486, 483)
	L = (1, 244)(2, 245)(3, 246)(4, 247)(5, 248)(6, 249)(7, 250)(8, 251)(9, 252)(10, 253)(11, 254)(12, 255)(13, 256)(14, 257)(15, 258)(16, 259)(17, 260)(18, 261)(19, 262)(20, 263)(21, 264)(22, 265)(23, 266)(24, 267)(25, 268)(26, 269)(27, 270)(28, 271)(29, 272)(30, 273)(31, 274)(32, 275)(33, 276)(34, 277)(35, 278)(36, 279)(37, 280)(38, 281)(39, 282)(40, 283)(41, 284)(42, 285)(43, 286)(44, 287)(45, 288)(46, 289)(47, 290)(48, 291)(49, 292)(50, 293)(51, 294)(52, 295)(53, 296)(54, 297)(55, 298)(56, 299)(57, 300)(58, 301)(59, 302)(60, 303)(61, 304)(62, 305)(63, 306)(64, 307)(65, 308)(66, 309)(67, 310)(68, 311)(69, 312)(70, 313)(71, 314)(72, 315)(73, 316)(74, 317)(75, 318)(76, 319)(77, 320)(78, 321)(79, 322)(80, 323)(81, 324)(82, 325)(83, 326)(84, 327)(85, 328)(86, 329)(87, 330)(88, 331)(89, 332)(90, 333)(91, 334)(92, 335)(93, 336)(94, 337)(95, 338)(96, 339)(97, 340)(98, 341)(99, 342)(100, 343)(101, 344)(102, 345)(103, 346)(104, 347)(105, 348)(106, 349)(107, 350)(108, 351)(109, 352)(110, 353)(111, 354)(112, 355)(113, 356)(114, 357)(115, 358)(116, 359)(117, 360)(118, 361)(119, 362)(120, 363)(121, 364)(122, 365)(123, 366)(124, 367)(125, 368)(126, 369)(127, 370)(128, 371)(129, 372)(130, 373)(131, 374)(132, 375)(133, 376)(134, 377)(135, 378)(136, 379)(137, 380)(138, 381)(139, 382)(140, 383)(141, 384)(142, 385)(143, 386)(144, 387)(145, 388)(146, 389)(147, 390)(148, 391)(149, 392)(150, 393)(151, 394)(152, 395)(153, 396)(154, 397)(155, 398)(156, 399)(157, 400)(158, 401)(159, 402)(160, 403)(161, 404)(162, 405)(163, 406)(164, 407)(165, 408)(166, 409)(167, 410)(168, 411)(169, 412)(170, 413)(171, 414)(172, 415)(173, 416)(174, 417)(175, 418)(176, 419)(177, 420)(178, 421)(179, 422)(180, 423)(181, 424)(182, 425)(183, 426)(184, 427)(185, 428)(186, 429)(187, 430)(188, 431)(189, 432)(190, 433)(191, 434)(192, 435)(193, 436)(194, 437)(195, 438)(196, 439)(197, 440)(198, 441)(199, 442)(200, 443)(201, 444)(202, 445)(203, 446)(204, 447)(205, 448)(206, 449)(207, 450)(208, 451)(209, 452)(210, 453)(211, 454)(212, 455)(213, 456)(214, 457)(215, 458)(216, 459)(217, 460)(218, 461)(219, 462)(220, 463)(221, 464)(222, 465)(223, 466)(224, 467)(225, 468)(226, 469)(227, 470)(228, 471)(229, 472)(230, 473)(231, 474)(232, 475)(233, 476)(234, 477)(235, 478)(236, 479)(237, 480)(238, 481)(239, 482)(240, 483)(241, 484)(242, 485)(243, 486)
	local type(s) :: { ( 18^3 ) }
Outer automorphisms :: reflexible
Dual of E28.3185
Transitivity :: ET+ VT AT
Graph:: simple bipartite
	v = 162 e = 243 f = 27
	degree seq :: [ 3^162 ]

E28.3185 :: Family: { 2ex } :: Oriented family(ies): { E3*c }
Signature :: (0; {3, 3, 9})
Quotient :: edge
Aut^+ = (C9 : C9) : C3 (small group id <243, 28>)
Aut   = ((C9 : C9) : C3) : C2 (small group id <486, 39>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, F * T2^-1 * T1^-1 * F * T1, (T1 * T2)^3, (T2^-1 * T1^-1)^3, T2^2 * T1 * T2^-3 * T1^-1 * T2, T2^2 * T1 * T2^-3 * T1^2 * T2, T2^9, (T2 * T1^-1 * T2)^3, T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2 * T1 * T2^-1 * T1^-1 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 244, 3, 246, 9, 252, 25, 268, 58, 301, 85, 328, 39, 282, 15, 258, 5, 248)(2, 245, 6, 249, 17, 260, 42, 285, 91, 334, 106, 349, 51, 294, 21, 264, 7, 250)(4, 247, 11, 254, 30, 273, 59, 302, 119, 362, 113, 356, 76, 319, 33, 276, 12, 255)(8, 251, 22, 265, 52, 295, 108, 351, 69, 312, 84, 327, 37, 280, 55, 298, 23, 266)(10, 253, 27, 270, 63, 306, 118, 361, 146, 389, 77, 320, 38, 281, 66, 309, 28, 271)(13, 256, 34, 277, 57, 300, 24, 267, 56, 299, 115, 358, 152, 395, 81, 324, 35, 278)(14, 257, 36, 279, 61, 304, 26, 269, 60, 303, 49, 292, 88, 331, 40, 283, 16, 259)(18, 261, 44, 287, 95, 338, 122, 365, 175, 418, 99, 342, 50, 293, 98, 341, 45, 288)(19, 262, 46, 289, 90, 333, 41, 284, 89, 332, 161, 404, 181, 424, 103, 346, 47, 290)(20, 263, 48, 291, 93, 336, 43, 286, 92, 335, 74, 317, 133, 376, 67, 310, 29, 272)(31, 274, 70, 313, 137, 380, 166, 409, 217, 460, 141, 384, 75, 318, 140, 383, 71, 314)(32, 275, 72, 315, 135, 378, 68, 311, 134, 377, 188, 431, 114, 357, 145, 388, 73, 316)(53, 296, 110, 353, 185, 428, 107, 350, 144, 387, 222, 465, 156, 399, 191, 434, 111, 354)(54, 297, 112, 355, 187, 430, 109, 352, 186, 429, 129, 372, 157, 400, 123, 366, 62, 305)(64, 307, 125, 368, 200, 443, 223, 466, 243, 486, 204, 447, 130, 373, 203, 446, 126, 369)(65, 308, 127, 370, 198, 441, 124, 367, 197, 440, 148, 391, 78, 321, 147, 390, 128, 371)(79, 322, 149, 392, 195, 438, 116, 359, 194, 437, 242, 485, 193, 436, 206, 449, 150, 393)(80, 323, 151, 394, 120, 363, 117, 360, 159, 402, 86, 329, 158, 401, 153, 396, 82, 325)(83, 326, 154, 397, 173, 416, 121, 364, 167, 410, 94, 337, 87, 330, 160, 403, 155, 398)(96, 339, 169, 412, 237, 480, 229, 472, 199, 442, 196, 439, 174, 417, 238, 481, 170, 413)(97, 340, 171, 414, 235, 478, 168, 411, 192, 435, 177, 420, 100, 343, 176, 419, 172, 415)(101, 344, 178, 421, 233, 476, 162, 405, 190, 433, 224, 467, 232, 475, 239, 482, 179, 422)(102, 345, 180, 423, 164, 407, 163, 406, 208, 451, 131, 374, 207, 450, 182, 425, 104, 347)(105, 348, 183, 426, 215, 458, 165, 408, 205, 448, 136, 379, 132, 375, 202, 445, 184, 427)(138, 381, 211, 454, 228, 471, 241, 484, 236, 479, 234, 477, 216, 459, 201, 444, 212, 455)(139, 382, 213, 456, 226, 469, 210, 453, 231, 474, 219, 462, 142, 385, 218, 461, 214, 457)(143, 386, 220, 463, 225, 468, 209, 452, 230, 473, 240, 483, 189, 432, 227, 470, 221, 464)
	L = (1, 245)(2, 247)(3, 251)(4, 244)(5, 256)(6, 259)(7, 262)(8, 253)(9, 267)(10, 246)(11, 272)(12, 275)(13, 257)(14, 248)(15, 280)(16, 261)(17, 284)(18, 249)(19, 263)(20, 250)(21, 292)(22, 255)(23, 296)(24, 269)(25, 285)(26, 252)(27, 305)(28, 308)(29, 274)(30, 311)(31, 254)(32, 265)(33, 317)(34, 320)(35, 322)(36, 325)(37, 281)(38, 258)(39, 294)(40, 329)(41, 286)(42, 302)(43, 260)(44, 337)(45, 340)(46, 342)(47, 344)(48, 347)(49, 293)(50, 264)(51, 319)(52, 350)(53, 297)(54, 266)(55, 356)(56, 271)(57, 359)(58, 351)(59, 268)(60, 363)(61, 365)(62, 307)(63, 367)(64, 270)(65, 299)(66, 372)(67, 374)(68, 312)(69, 273)(70, 379)(71, 382)(72, 384)(73, 386)(74, 318)(75, 276)(76, 282)(77, 321)(78, 277)(79, 323)(80, 278)(81, 306)(82, 326)(83, 279)(84, 399)(85, 395)(86, 330)(87, 283)(88, 328)(89, 288)(90, 405)(91, 304)(92, 407)(93, 409)(94, 339)(95, 411)(96, 287)(97, 332)(98, 416)(99, 343)(100, 289)(101, 345)(102, 290)(103, 338)(104, 348)(105, 291)(106, 424)(107, 352)(108, 361)(109, 295)(110, 431)(111, 433)(112, 435)(113, 357)(114, 298)(115, 436)(116, 360)(117, 300)(118, 301)(119, 336)(120, 364)(121, 303)(122, 334)(123, 414)(124, 324)(125, 442)(126, 445)(127, 447)(128, 425)(129, 373)(130, 309)(131, 375)(132, 310)(133, 349)(134, 314)(135, 452)(136, 381)(137, 453)(138, 313)(139, 377)(140, 458)(141, 385)(142, 315)(143, 387)(144, 316)(145, 380)(146, 430)(147, 443)(148, 451)(149, 441)(150, 467)(151, 463)(152, 331)(153, 470)(154, 461)(155, 472)(156, 400)(157, 327)(158, 358)(159, 473)(160, 474)(161, 475)(162, 406)(163, 333)(164, 408)(165, 335)(166, 362)(167, 456)(168, 346)(169, 479)(170, 355)(171, 439)(172, 428)(173, 417)(174, 341)(175, 398)(176, 480)(177, 354)(178, 478)(179, 483)(180, 392)(181, 376)(182, 449)(183, 390)(184, 484)(185, 482)(186, 419)(187, 466)(188, 432)(189, 353)(190, 420)(191, 378)(192, 413)(193, 401)(194, 391)(195, 422)(196, 366)(197, 369)(198, 423)(199, 444)(200, 426)(201, 368)(202, 440)(203, 412)(204, 448)(205, 370)(206, 371)(207, 404)(208, 437)(209, 434)(210, 388)(211, 486)(212, 403)(213, 477)(214, 396)(215, 459)(216, 383)(217, 427)(218, 471)(219, 402)(220, 469)(221, 485)(222, 421)(223, 389)(224, 468)(225, 393)(226, 394)(227, 457)(228, 397)(229, 418)(230, 462)(231, 455)(232, 450)(233, 464)(234, 410)(235, 465)(236, 446)(237, 429)(238, 454)(239, 415)(240, 438)(241, 460)(242, 476)(243, 481)
	local type(s) :: { ( 3^18 ) }
Outer automorphisms :: reflexible
Dual of E28.3184
Transitivity :: ET+ VT+
Graph::
	v = 27 e = 243 f = 162
	degree seq :: [ 18^27 ]

E28.3186 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 9})
Quotient :: edge^2
Aut^+ = (C9 : C9) : C3 (small group id <243, 28>)
Aut   = ((C9 : C9) : C3) : C2 (small group id <486, 39>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^-1 * Y3^-1 * Y2^-1, Y1^3, (R * Y3)^2, R * Y2 * R * Y1, Y3^-1 * Y1^-1 * Y3^2 * Y2^-1 * Y3^-2, Y3^-1 * Y1 * Y3^3 * Y2 * Y3^-1, Y3^9, Y3^-1 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1^-1 * Y2, Y3 * Y2^-1 * Y3^2 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1, Y3 * Y1^-1 * Y2^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y2 * Y1^-1 * Y3 * Y2 * Y1 * Y3^2 * Y2 * Y1^-1 * Y2^-1 * Y3^-1, Y2 * Y1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1 * Y3 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 244, 4, 247, 15, 258, 44, 287, 114, 357, 147, 390, 65, 308, 23, 266, 7, 250)(2, 245, 8, 251, 25, 268, 46, 289, 113, 356, 100, 343, 85, 328, 31, 274, 10, 253)(3, 246, 5, 248, 18, 261, 51, 294, 71, 314, 156, 399, 104, 347, 39, 282, 13, 256)(6, 249, 12, 255, 35, 278, 95, 338, 126, 369, 146, 389, 63, 306, 57, 300, 20, 263)(9, 252, 22, 265, 61, 304, 43, 286, 45, 288, 115, 358, 83, 326, 77, 320, 28, 271)(11, 254, 32, 275, 87, 330, 53, 296, 125, 368, 132, 375, 136, 379, 93, 336, 34, 277)(14, 257, 16, 259, 47, 290, 118, 361, 97, 340, 139, 382, 59, 302, 64, 307, 42, 285)(17, 260, 41, 284, 108, 351, 169, 412, 142, 385, 60, 303, 21, 264, 58, 301, 49, 292)(19, 262, 30, 273, 81, 324, 69, 312, 70, 313, 101, 344, 37, 280, 99, 342, 54, 297)(24, 267, 26, 269, 72, 315, 159, 402, 112, 355, 172, 415, 79, 322, 84, 327, 68, 311)(27, 270, 67, 310, 151, 394, 197, 440, 175, 418, 80, 323, 29, 272, 78, 321, 74, 317)(33, 276, 38, 281, 102, 345, 50, 293, 52, 295, 127, 370, 191, 434, 155, 398, 90, 333)(36, 279, 92, 335, 189, 432, 180, 423, 181, 424, 133, 376, 55, 298, 131, 374, 98, 341)(40, 283, 105, 348, 202, 445, 120, 363, 215, 458, 137, 380, 138, 381, 207, 450, 107, 350)(48, 291, 56, 299, 134, 377, 94, 337, 96, 339, 194, 437, 110, 353, 209, 452, 121, 364)(62, 305, 141, 384, 213, 456, 116, 359, 123, 366, 166, 409, 75, 318, 165, 408, 145, 388)(66, 309, 148, 391, 236, 479, 161, 404, 135, 378, 170, 413, 171, 414, 195, 438, 150, 393)(73, 316, 76, 319, 167, 410, 143, 386, 144, 387, 234, 477, 153, 396, 212, 455, 162, 405)(82, 325, 174, 417, 204, 447, 157, 400, 164, 407, 226, 469, 129, 372, 225, 468, 178, 421)(86, 329, 88, 331, 182, 425, 221, 464, 124, 367, 220, 463, 187, 430, 192, 435, 168, 411)(89, 332, 179, 422, 227, 470, 222, 465, 235, 478, 188, 431, 91, 334, 186, 429, 184, 427)(103, 346, 198, 441, 203, 446, 128, 371, 130, 373, 214, 457, 176, 419, 177, 420, 201, 444)(106, 349, 111, 354, 210, 453, 117, 360, 119, 362, 216, 459, 230, 473, 193, 436, 205, 448)(109, 352, 206, 449, 232, 475, 140, 383, 231, 474, 219, 462, 122, 365, 218, 461, 208, 451)(149, 392, 154, 397, 229, 472, 158, 401, 160, 403, 211, 454, 242, 485, 233, 476, 217, 460)(152, 395, 196, 439, 243, 486, 173, 416, 190, 433, 240, 483, 163, 406, 228, 471, 237, 480)(183, 426, 185, 428, 239, 482, 199, 442, 200, 443, 241, 484, 223, 466, 224, 467, 238, 481)(487, 488, 491)(489, 497, 498)(490, 492, 502)(493, 507, 508)(494, 495, 512)(496, 515, 516)(499, 523, 524)(500, 526, 527)(501, 503, 531)(504, 505, 538)(506, 541, 542)(509, 549, 550)(510, 552, 553)(511, 513, 556)(514, 561, 562)(517, 569, 570)(518, 519, 574)(520, 577, 578)(521, 522, 582)(525, 551, 571)(528, 596, 597)(529, 598, 599)(530, 532, 557)(533, 534, 605)(535, 608, 609)(536, 610, 611)(537, 539, 612)(540, 615, 616)(543, 590, 622)(544, 545, 624)(546, 626, 627)(547, 548, 630)(554, 639, 640)(555, 641, 642)(558, 559, 646)(560, 649, 650)(563, 633, 655)(564, 565, 657)(566, 659, 660)(567, 568, 663)(572, 652, 665)(573, 575, 667)(576, 662, 671)(579, 677, 678)(580, 679, 625)(581, 583, 600)(584, 682, 636)(585, 586, 683)(587, 643, 684)(588, 589, 686)(591, 592, 689)(593, 664, 692)(594, 595, 651)(601, 602, 698)(603, 700, 701)(604, 606, 628)(607, 634, 635)(613, 614, 710)(617, 618, 708)(619, 714, 656)(620, 621, 644)(623, 712, 704)(629, 719, 658)(631, 721, 707)(632, 666, 695)(637, 638, 711)(645, 647, 661)(648, 706, 685)(653, 654, 709)(668, 669, 720)(670, 718, 723)(672, 673, 699)(674, 694, 726)(675, 676, 722)(680, 681, 728)(687, 693, 716)(688, 690, 717)(691, 715, 724)(696, 697, 725)(702, 703, 727)(705, 729, 713)(730, 732, 735)(731, 736, 738)(733, 743, 746)(734, 739, 748)(737, 753, 756)(740, 742, 762)(741, 763, 765)(744, 772, 775)(745, 749, 777)(747, 779, 782)(750, 752, 788)(751, 789, 791)(754, 798, 800)(755, 757, 802)(758, 760, 808)(759, 809, 811)(761, 815, 818)(764, 823, 826)(766, 768, 829)(767, 830, 832)(769, 771, 835)(770, 836, 838)(773, 780, 824)(774, 778, 845)(776, 846, 849)(781, 783, 857)(784, 786, 861)(785, 862, 864)(787, 866, 851)(790, 872, 841)(792, 794, 833)(793, 875, 839)(795, 797, 878)(796, 879, 881)(799, 803, 886)(801, 887, 890)(804, 806, 837)(805, 895, 897)(807, 899, 892)(810, 905, 884)(812, 814, 876)(813, 844, 882)(816, 909, 855)(817, 819, 912)(820, 822, 916)(821, 917, 919)(825, 827, 924)(828, 880, 858)(831, 928, 853)(834, 927, 933)(840, 923, 940)(842, 888, 926)(843, 847, 898)(848, 850, 946)(852, 948, 908)(854, 950, 951)(856, 952, 921)(859, 955, 944)(860, 956, 925)(863, 958, 922)(865, 885, 920)(867, 868, 959)(869, 871, 931)(870, 961, 915)(873, 874, 911)(877, 938, 918)(883, 963, 967)(889, 891, 968)(893, 969, 947)(894, 937, 964)(896, 970, 962)(900, 901, 971)(902, 904, 965)(903, 972, 960)(906, 907, 936)(910, 913, 957)(914, 943, 939)(929, 930, 945)(932, 934, 953)(935, 954, 966)(941, 942, 949)
	L = (1, 487)(2, 488)(3, 489)(4, 490)(5, 491)(6, 492)(7, 493)(8, 494)(9, 495)(10, 496)(11, 497)(12, 498)(13, 499)(14, 500)(15, 501)(16, 502)(17, 503)(18, 504)(19, 505)(20, 506)(21, 507)(22, 508)(23, 509)(24, 510)(25, 511)(26, 512)(27, 513)(28, 514)(29, 515)(30, 516)(31, 517)(32, 518)(33, 519)(34, 520)(35, 521)(36, 522)(37, 523)(38, 524)(39, 525)(40, 526)(41, 527)(42, 528)(43, 529)(44, 530)(45, 531)(46, 532)(47, 533)(48, 534)(49, 535)(50, 536)(51, 537)(52, 538)(53, 539)(54, 540)(55, 541)(56, 542)(57, 543)(58, 544)(59, 545)(60, 546)(61, 547)(62, 548)(63, 549)(64, 550)(65, 551)(66, 552)(67, 553)(68, 554)(69, 555)(70, 556)(71, 557)(72, 558)(73, 559)(74, 560)(75, 561)(76, 562)(77, 563)(78, 564)(79, 565)(80, 566)(81, 567)(82, 568)(83, 569)(84, 570)(85, 571)(86, 572)(87, 573)(88, 574)(89, 575)(90, 576)(91, 577)(92, 578)(93, 579)(94, 580)(95, 581)(96, 582)(97, 583)(98, 584)(99, 585)(100, 586)(101, 587)(102, 588)(103, 589)(104, 590)(105, 591)(106, 592)(107, 593)(108, 594)(109, 595)(110, 596)(111, 597)(112, 598)(113, 599)(114, 600)(115, 601)(116, 602)(117, 603)(118, 604)(119, 605)(120, 606)(121, 607)(122, 608)(123, 609)(124, 610)(125, 611)(126, 612)(127, 613)(128, 614)(129, 615)(130, 616)(131, 617)(132, 618)(133, 619)(134, 620)(135, 621)(136, 622)(137, 623)(138, 624)(139, 625)(140, 626)(141, 627)(142, 628)(143, 629)(144, 630)(145, 631)(146, 632)(147, 633)(148, 634)(149, 635)(150, 636)(151, 637)(152, 638)(153, 639)(154, 640)(155, 641)(156, 642)(157, 643)(158, 644)(159, 645)(160, 646)(161, 647)(162, 648)(163, 649)(164, 650)(165, 651)(166, 652)(167, 653)(168, 654)(169, 655)(170, 656)(171, 657)(172, 658)(173, 659)(174, 660)(175, 661)(176, 662)(177, 663)(178, 664)(179, 665)(180, 666)(181, 667)(182, 668)(183, 669)(184, 670)(185, 671)(186, 672)(187, 673)(188, 674)(189, 675)(190, 676)(191, 677)(192, 678)(193, 679)(194, 680)(195, 681)(196, 682)(197, 683)(198, 684)(199, 685)(200, 686)(201, 687)(202, 688)(203, 689)(204, 690)(205, 691)(206, 692)(207, 693)(208, 694)(209, 695)(210, 696)(211, 697)(212, 698)(213, 699)(214, 700)(215, 701)(216, 702)(217, 703)(218, 704)(219, 705)(220, 706)(221, 707)(222, 708)(223, 709)(224, 710)(225, 711)(226, 712)(227, 713)(228, 714)(229, 715)(230, 716)(231, 717)(232, 718)(233, 719)(234, 720)(235, 721)(236, 722)(237, 723)(238, 724)(239, 725)(240, 726)(241, 727)(242, 728)(243, 729)(244, 730)(245, 731)(246, 732)(247, 733)(248, 734)(249, 735)(250, 736)(251, 737)(252, 738)(253, 739)(254, 740)(255, 741)(256, 742)(257, 743)(258, 744)(259, 745)(260, 746)(261, 747)(262, 748)(263, 749)(264, 750)(265, 751)(266, 752)(267, 753)(268, 754)(269, 755)(270, 756)(271, 757)(272, 758)(273, 759)(274, 760)(275, 761)(276, 762)(277, 763)(278, 764)(279, 765)(280, 766)(281, 767)(282, 768)(283, 769)(284, 770)(285, 771)(286, 772)(287, 773)(288, 774)(289, 775)(290, 776)(291, 777)(292, 778)(293, 779)(294, 780)(295, 781)(296, 782)(297, 783)(298, 784)(299, 785)(300, 786)(301, 787)(302, 788)(303, 789)(304, 790)(305, 791)(306, 792)(307, 793)(308, 794)(309, 795)(310, 796)(311, 797)(312, 798)(313, 799)(314, 800)(315, 801)(316, 802)(317, 803)(318, 804)(319, 805)(320, 806)(321, 807)(322, 808)(323, 809)(324, 810)(325, 811)(326, 812)(327, 813)(328, 814)(329, 815)(330, 816)(331, 817)(332, 818)(333, 819)(334, 820)(335, 821)(336, 822)(337, 823)(338, 824)(339, 825)(340, 826)(341, 827)(342, 828)(343, 829)(344, 830)(345, 831)(346, 832)(347, 833)(348, 834)(349, 835)(350, 836)(351, 837)(352, 838)(353, 839)(354, 840)(355, 841)(356, 842)(357, 843)(358, 844)(359, 845)(360, 846)(361, 847)(362, 848)(363, 849)(364, 850)(365, 851)(366, 852)(367, 853)(368, 854)(369, 855)(370, 856)(371, 857)(372, 858)(373, 859)(374, 860)(375, 861)(376, 862)(377, 863)(378, 864)(379, 865)(380, 866)(381, 867)(382, 868)(383, 869)(384, 870)(385, 871)(386, 872)(387, 873)(388, 874)(389, 875)(390, 876)(391, 877)(392, 878)(393, 879)(394, 880)(395, 881)(396, 882)(397, 883)(398, 884)(399, 885)(400, 886)(401, 887)(402, 888)(403, 889)(404, 890)(405, 891)(406, 892)(407, 893)(408, 894)(409, 895)(410, 896)(411, 897)(412, 898)(413, 899)(414, 900)(415, 901)(416, 902)(417, 903)(418, 904)(419, 905)(420, 906)(421, 907)(422, 908)(423, 909)(424, 910)(425, 911)(426, 912)(427, 913)(428, 914)(429, 915)(430, 916)(431, 917)(432, 918)(433, 919)(434, 920)(435, 921)(436, 922)(437, 923)(438, 924)(439, 925)(440, 926)(441, 927)(442, 928)(443, 929)(444, 930)(445, 931)(446, 932)(447, 933)(448, 934)(449, 935)(450, 936)(451, 937)(452, 938)(453, 939)(454, 940)(455, 941)(456, 942)(457, 943)(458, 944)(459, 945)(460, 946)(461, 947)(462, 948)(463, 949)(464, 950)(465, 951)(466, 952)(467, 953)(468, 954)(469, 955)(470, 956)(471, 957)(472, 958)(473, 959)(474, 960)(475, 961)(476, 962)(477, 963)(478, 964)(479, 965)(480, 966)(481, 967)(482, 968)(483, 969)(484, 970)(485, 971)(486, 972)
	local type(s) :: { ( 4^3 ), ( 4^18 ) }
Outer automorphisms :: reflexible
Dual of E28.3189
Graph:: simple bipartite
	v = 189 e = 486 f = 243
	degree seq :: [ 3^162, 18^27 ]

E28.3187 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 9})
Quotient :: edge^2
Aut^+ = (C9 : C9) : C3 (small group id <243, 28>)
Aut   = ((C9 : C9) : C3) : C2 (small group id <486, 39>)
|r| :: 2
Presentation :: [ Y3, R^2, Y2^3, Y1^3, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-1, Y2 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, (Y2 * Y1 * Y2 * Y1^-1)^3, (Y1^-1 * Y2^-1 * Y1 * Y2^-1)^3, Y2^-1 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y2^-1 * Y1^-1 * Y2 * Y1^-1)^3, Y1^-1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2^-1, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y1^-1 * Y3^-1 * Y2^-1)^9 ]
Map:: polytopal
	R = (1, 244)(2, 245)(3, 246)(4, 247)(5, 248)(6, 249)(7, 250)(8, 251)(9, 252)(10, 253)(11, 254)(12, 255)(13, 256)(14, 257)(15, 258)(16, 259)(17, 260)(18, 261)(19, 262)(20, 263)(21, 264)(22, 265)(23, 266)(24, 267)(25, 268)(26, 269)(27, 270)(28, 271)(29, 272)(30, 273)(31, 274)(32, 275)(33, 276)(34, 277)(35, 278)(36, 279)(37, 280)(38, 281)(39, 282)(40, 283)(41, 284)(42, 285)(43, 286)(44, 287)(45, 288)(46, 289)(47, 290)(48, 291)(49, 292)(50, 293)(51, 294)(52, 295)(53, 296)(54, 297)(55, 298)(56, 299)(57, 300)(58, 301)(59, 302)(60, 303)(61, 304)(62, 305)(63, 306)(64, 307)(65, 308)(66, 309)(67, 310)(68, 311)(69, 312)(70, 313)(71, 314)(72, 315)(73, 316)(74, 317)(75, 318)(76, 319)(77, 320)(78, 321)(79, 322)(80, 323)(81, 324)(82, 325)(83, 326)(84, 327)(85, 328)(86, 329)(87, 330)(88, 331)(89, 332)(90, 333)(91, 334)(92, 335)(93, 336)(94, 337)(95, 338)(96, 339)(97, 340)(98, 341)(99, 342)(100, 343)(101, 344)(102, 345)(103, 346)(104, 347)(105, 348)(106, 349)(107, 350)(108, 351)(109, 352)(110, 353)(111, 354)(112, 355)(113, 356)(114, 357)(115, 358)(116, 359)(117, 360)(118, 361)(119, 362)(120, 363)(121, 364)(122, 365)(123, 366)(124, 367)(125, 368)(126, 369)(127, 370)(128, 371)(129, 372)(130, 373)(131, 374)(132, 375)(133, 376)(134, 377)(135, 378)(136, 379)(137, 380)(138, 381)(139, 382)(140, 383)(141, 384)(142, 385)(143, 386)(144, 387)(145, 388)(146, 389)(147, 390)(148, 391)(149, 392)(150, 393)(151, 394)(152, 395)(153, 396)(154, 397)(155, 398)(156, 399)(157, 400)(158, 401)(159, 402)(160, 403)(161, 404)(162, 405)(163, 406)(164, 407)(165, 408)(166, 409)(167, 410)(168, 411)(169, 412)(170, 413)(171, 414)(172, 415)(173, 416)(174, 417)(175, 418)(176, 419)(177, 420)(178, 421)(179, 422)(180, 423)(181, 424)(182, 425)(183, 426)(184, 427)(185, 428)(186, 429)(187, 430)(188, 431)(189, 432)(190, 433)(191, 434)(192, 435)(193, 436)(194, 437)(195, 438)(196, 439)(197, 440)(198, 441)(199, 442)(200, 443)(201, 444)(202, 445)(203, 446)(204, 447)(205, 448)(206, 449)(207, 450)(208, 451)(209, 452)(210, 453)(211, 454)(212, 455)(213, 456)(214, 457)(215, 458)(216, 459)(217, 460)(218, 461)(219, 462)(220, 463)(221, 464)(222, 465)(223, 466)(224, 467)(225, 468)(226, 469)(227, 470)(228, 471)(229, 472)(230, 473)(231, 474)(232, 475)(233, 476)(234, 477)(235, 478)(236, 479)(237, 480)(238, 481)(239, 482)(240, 483)(241, 484)(242, 485)(243, 486)(487, 488, 490)(489, 494, 495)(491, 498, 499)(492, 500, 501)(493, 502, 503)(496, 508, 509)(497, 510, 511)(504, 524, 525)(505, 526, 527)(506, 528, 529)(507, 530, 531)(512, 540, 541)(513, 542, 543)(514, 544, 545)(515, 546, 547)(516, 548, 549)(517, 550, 551)(518, 552, 553)(519, 554, 555)(520, 556, 557)(521, 558, 559)(522, 560, 561)(523, 562, 563)(532, 580, 581)(533, 582, 583)(534, 584, 585)(535, 586, 587)(536, 588, 589)(537, 590, 591)(538, 592, 593)(539, 594, 595)(564, 612, 644)(565, 645, 646)(566, 641, 647)(567, 648, 649)(568, 650, 651)(569, 652, 625)(570, 630, 653)(571, 654, 655)(572, 656, 657)(573, 658, 623)(574, 659, 660)(575, 661, 662)(576, 663, 638)(577, 664, 665)(578, 666, 616)(579, 667, 668)(596, 613, 692)(597, 689, 693)(598, 694, 673)(599, 634, 695)(600, 696, 637)(601, 697, 698)(602, 699, 683)(603, 620, 700)(604, 615, 701)(605, 684, 702)(606, 678, 703)(607, 704, 629)(608, 619, 705)(609, 706, 670)(610, 627, 707)(611, 643, 691)(614, 690, 708)(617, 709, 679)(618, 682, 710)(621, 711, 677)(622, 712, 713)(624, 714, 688)(626, 715, 672)(628, 669, 716)(631, 686, 717)(632, 718, 687)(633, 719, 720)(635, 675, 721)(636, 671, 722)(639, 723, 681)(640, 674, 724)(642, 680, 725)(676, 728, 727)(685, 729, 726)(730, 732, 734)(731, 735, 736)(733, 739, 740)(737, 747, 748)(738, 749, 750)(741, 755, 756)(742, 757, 758)(743, 759, 760)(744, 761, 762)(745, 763, 764)(746, 765, 766)(751, 775, 776)(752, 777, 778)(753, 779, 780)(754, 781, 782)(767, 807, 808)(768, 809, 810)(769, 811, 812)(770, 813, 814)(771, 815, 816)(772, 817, 818)(773, 819, 820)(774, 821, 822)(783, 839, 840)(784, 841, 842)(785, 843, 844)(786, 845, 846)(787, 847, 848)(788, 849, 850)(789, 851, 852)(790, 853, 854)(791, 855, 856)(792, 857, 858)(793, 859, 860)(794, 861, 862)(795, 863, 864)(796, 865, 866)(797, 867, 868)(798, 869, 870)(799, 871, 872)(800, 873, 874)(801, 875, 876)(802, 877, 878)(803, 879, 880)(804, 881, 882)(805, 883, 884)(806, 885, 886)(823, 887, 912)(824, 913, 914)(825, 915, 907)(826, 916, 917)(827, 918, 904)(828, 919, 920)(829, 921, 922)(830, 893, 923)(831, 889, 924)(832, 925, 926)(833, 927, 928)(834, 929, 900)(835, 892, 930)(836, 931, 932)(837, 898, 933)(838, 911, 934)(888, 950, 964)(890, 954, 945)(891, 952, 941)(894, 942, 962)(895, 969, 965)(896, 948, 970)(897, 956, 937)(899, 935, 968)(901, 961, 949)(902, 957, 947)(903, 953, 967)(905, 939, 951)(906, 936, 971)(908, 963, 944)(909, 938, 972)(910, 943, 959)(940, 958, 960)(946, 966, 955)
	L = (1, 487)(2, 488)(3, 489)(4, 490)(5, 491)(6, 492)(7, 493)(8, 494)(9, 495)(10, 496)(11, 497)(12, 498)(13, 499)(14, 500)(15, 501)(16, 502)(17, 503)(18, 504)(19, 505)(20, 506)(21, 507)(22, 508)(23, 509)(24, 510)(25, 511)(26, 512)(27, 513)(28, 514)(29, 515)(30, 516)(31, 517)(32, 518)(33, 519)(34, 520)(35, 521)(36, 522)(37, 523)(38, 524)(39, 525)(40, 526)(41, 527)(42, 528)(43, 529)(44, 530)(45, 531)(46, 532)(47, 533)(48, 534)(49, 535)(50, 536)(51, 537)(52, 538)(53, 539)(54, 540)(55, 541)(56, 542)(57, 543)(58, 544)(59, 545)(60, 546)(61, 547)(62, 548)(63, 549)(64, 550)(65, 551)(66, 552)(67, 553)(68, 554)(69, 555)(70, 556)(71, 557)(72, 558)(73, 559)(74, 560)(75, 561)(76, 562)(77, 563)(78, 564)(79, 565)(80, 566)(81, 567)(82, 568)(83, 569)(84, 570)(85, 571)(86, 572)(87, 573)(88, 574)(89, 575)(90, 576)(91, 577)(92, 578)(93, 579)(94, 580)(95, 581)(96, 582)(97, 583)(98, 584)(99, 585)(100, 586)(101, 587)(102, 588)(103, 589)(104, 590)(105, 591)(106, 592)(107, 593)(108, 594)(109, 595)(110, 596)(111, 597)(112, 598)(113, 599)(114, 600)(115, 601)(116, 602)(117, 603)(118, 604)(119, 605)(120, 606)(121, 607)(122, 608)(123, 609)(124, 610)(125, 611)(126, 612)(127, 613)(128, 614)(129, 615)(130, 616)(131, 617)(132, 618)(133, 619)(134, 620)(135, 621)(136, 622)(137, 623)(138, 624)(139, 625)(140, 626)(141, 627)(142, 628)(143, 629)(144, 630)(145, 631)(146, 632)(147, 633)(148, 634)(149, 635)(150, 636)(151, 637)(152, 638)(153, 639)(154, 640)(155, 641)(156, 642)(157, 643)(158, 644)(159, 645)(160, 646)(161, 647)(162, 648)(163, 649)(164, 650)(165, 651)(166, 652)(167, 653)(168, 654)(169, 655)(170, 656)(171, 657)(172, 658)(173, 659)(174, 660)(175, 661)(176, 662)(177, 663)(178, 664)(179, 665)(180, 666)(181, 667)(182, 668)(183, 669)(184, 670)(185, 671)(186, 672)(187, 673)(188, 674)(189, 675)(190, 676)(191, 677)(192, 678)(193, 679)(194, 680)(195, 681)(196, 682)(197, 683)(198, 684)(199, 685)(200, 686)(201, 687)(202, 688)(203, 689)(204, 690)(205, 691)(206, 692)(207, 693)(208, 694)(209, 695)(210, 696)(211, 697)(212, 698)(213, 699)(214, 700)(215, 701)(216, 702)(217, 703)(218, 704)(219, 705)(220, 706)(221, 707)(222, 708)(223, 709)(224, 710)(225, 711)(226, 712)(227, 713)(228, 714)(229, 715)(230, 716)(231, 717)(232, 718)(233, 719)(234, 720)(235, 721)(236, 722)(237, 723)(238, 724)(239, 725)(240, 726)(241, 727)(242, 728)(243, 729)(244, 730)(245, 731)(246, 732)(247, 733)(248, 734)(249, 735)(250, 736)(251, 737)(252, 738)(253, 739)(254, 740)(255, 741)(256, 742)(257, 743)(258, 744)(259, 745)(260, 746)(261, 747)(262, 748)(263, 749)(264, 750)(265, 751)(266, 752)(267, 753)(268, 754)(269, 755)(270, 756)(271, 757)(272, 758)(273, 759)(274, 760)(275, 761)(276, 762)(277, 763)(278, 764)(279, 765)(280, 766)(281, 767)(282, 768)(283, 769)(284, 770)(285, 771)(286, 772)(287, 773)(288, 774)(289, 775)(290, 776)(291, 777)(292, 778)(293, 779)(294, 780)(295, 781)(296, 782)(297, 783)(298, 784)(299, 785)(300, 786)(301, 787)(302, 788)(303, 789)(304, 790)(305, 791)(306, 792)(307, 793)(308, 794)(309, 795)(310, 796)(311, 797)(312, 798)(313, 799)(314, 800)(315, 801)(316, 802)(317, 803)(318, 804)(319, 805)(320, 806)(321, 807)(322, 808)(323, 809)(324, 810)(325, 811)(326, 812)(327, 813)(328, 814)(329, 815)(330, 816)(331, 817)(332, 818)(333, 819)(334, 820)(335, 821)(336, 822)(337, 823)(338, 824)(339, 825)(340, 826)(341, 827)(342, 828)(343, 829)(344, 830)(345, 831)(346, 832)(347, 833)(348, 834)(349, 835)(350, 836)(351, 837)(352, 838)(353, 839)(354, 840)(355, 841)(356, 842)(357, 843)(358, 844)(359, 845)(360, 846)(361, 847)(362, 848)(363, 849)(364, 850)(365, 851)(366, 852)(367, 853)(368, 854)(369, 855)(370, 856)(371, 857)(372, 858)(373, 859)(374, 860)(375, 861)(376, 862)(377, 863)(378, 864)(379, 865)(380, 866)(381, 867)(382, 868)(383, 869)(384, 870)(385, 871)(386, 872)(387, 873)(388, 874)(389, 875)(390, 876)(391, 877)(392, 878)(393, 879)(394, 880)(395, 881)(396, 882)(397, 883)(398, 884)(399, 885)(400, 886)(401, 887)(402, 888)(403, 889)(404, 890)(405, 891)(406, 892)(407, 893)(408, 894)(409, 895)(410, 896)(411, 897)(412, 898)(413, 899)(414, 900)(415, 901)(416, 902)(417, 903)(418, 904)(419, 905)(420, 906)(421, 907)(422, 908)(423, 909)(424, 910)(425, 911)(426, 912)(427, 913)(428, 914)(429, 915)(430, 916)(431, 917)(432, 918)(433, 919)(434, 920)(435, 921)(436, 922)(437, 923)(438, 924)(439, 925)(440, 926)(441, 927)(442, 928)(443, 929)(444, 930)(445, 931)(446, 932)(447, 933)(448, 934)(449, 935)(450, 936)(451, 937)(452, 938)(453, 939)(454, 940)(455, 941)(456, 942)(457, 943)(458, 944)(459, 945)(460, 946)(461, 947)(462, 948)(463, 949)(464, 950)(465, 951)(466, 952)(467, 953)(468, 954)(469, 955)(470, 956)(471, 957)(472, 958)(473, 959)(474, 960)(475, 961)(476, 962)(477, 963)(478, 964)(479, 965)(480, 966)(481, 967)(482, 968)(483, 969)(484, 970)(485, 971)(486, 972)
	local type(s) :: { ( 36, 36 ), ( 36^3 ) }
Outer automorphisms :: reflexible
Dual of E28.3188
Graph:: simple bipartite
	v = 405 e = 486 f = 27
	degree seq :: [ 2^243, 3^162 ]

E28.3188 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 9})
Quotient :: loop^2
Aut^+ = (C9 : C9) : C3 (small group id <243, 28>)
Aut   = ((C9 : C9) : C3) : C2 (small group id <486, 39>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^-1 * Y3^-1 * Y2^-1, Y1^3, (R * Y3)^2, R * Y2 * R * Y1, Y3^-1 * Y1^-1 * Y3^2 * Y2^-1 * Y3^-2, Y3^-1 * Y1 * Y3^3 * Y2 * Y3^-1, Y3^9, Y3^-1 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1^-1 * Y2, Y3 * Y2^-1 * Y3^2 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1, Y3 * Y1^-1 * Y2^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y2 * Y1^-1 * Y3 * Y2 * Y1 * Y3^2 * Y2 * Y1^-1 * Y2^-1 * Y3^-1, Y2 * Y1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1 * Y3 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map::
	R = (1, 244, 487, 730, 4, 247, 490, 733, 15, 258, 501, 744, 44, 287, 530, 773, 114, 357, 600, 843, 147, 390, 633, 876, 65, 308, 551, 794, 23, 266, 509, 752, 7, 250, 493, 736)(2, 245, 488, 731, 8, 251, 494, 737, 25, 268, 511, 754, 46, 289, 532, 775, 113, 356, 599, 842, 100, 343, 586, 829, 85, 328, 571, 814, 31, 274, 517, 760, 10, 253, 496, 739)(3, 246, 489, 732, 5, 248, 491, 734, 18, 261, 504, 747, 51, 294, 537, 780, 71, 314, 557, 800, 156, 399, 642, 885, 104, 347, 590, 833, 39, 282, 525, 768, 13, 256, 499, 742)(6, 249, 492, 735, 12, 255, 498, 741, 35, 278, 521, 764, 95, 338, 581, 824, 126, 369, 612, 855, 146, 389, 632, 875, 63, 306, 549, 792, 57, 300, 543, 786, 20, 263, 506, 749)(9, 252, 495, 738, 22, 265, 508, 751, 61, 304, 547, 790, 43, 286, 529, 772, 45, 288, 531, 774, 115, 358, 601, 844, 83, 326, 569, 812, 77, 320, 563, 806, 28, 271, 514, 757)(11, 254, 497, 740, 32, 275, 518, 761, 87, 330, 573, 816, 53, 296, 539, 782, 125, 368, 611, 854, 132, 375, 618, 861, 136, 379, 622, 865, 93, 336, 579, 822, 34, 277, 520, 763)(14, 257, 500, 743, 16, 259, 502, 745, 47, 290, 533, 776, 118, 361, 604, 847, 97, 340, 583, 826, 139, 382, 625, 868, 59, 302, 545, 788, 64, 307, 550, 793, 42, 285, 528, 771)(17, 260, 503, 746, 41, 284, 527, 770, 108, 351, 594, 837, 169, 412, 655, 898, 142, 385, 628, 871, 60, 303, 546, 789, 21, 264, 507, 750, 58, 301, 544, 787, 49, 292, 535, 778)(19, 262, 505, 748, 30, 273, 516, 759, 81, 324, 567, 810, 69, 312, 555, 798, 70, 313, 556, 799, 101, 344, 587, 830, 37, 280, 523, 766, 99, 342, 585, 828, 54, 297, 540, 783)(24, 267, 510, 753, 26, 269, 512, 755, 72, 315, 558, 801, 159, 402, 645, 888, 112, 355, 598, 841, 172, 415, 658, 901, 79, 322, 565, 808, 84, 327, 570, 813, 68, 311, 554, 797)(27, 270, 513, 756, 67, 310, 553, 796, 151, 394, 637, 880, 197, 440, 683, 926, 175, 418, 661, 904, 80, 323, 566, 809, 29, 272, 515, 758, 78, 321, 564, 807, 74, 317, 560, 803)(33, 276, 519, 762, 38, 281, 524, 767, 102, 345, 588, 831, 50, 293, 536, 779, 52, 295, 538, 781, 127, 370, 613, 856, 191, 434, 677, 920, 155, 398, 641, 884, 90, 333, 576, 819)(36, 279, 522, 765, 92, 335, 578, 821, 189, 432, 675, 918, 180, 423, 666, 909, 181, 424, 667, 910, 133, 376, 619, 862, 55, 298, 541, 784, 131, 374, 617, 860, 98, 341, 584, 827)(40, 283, 526, 769, 105, 348, 591, 834, 202, 445, 688, 931, 120, 363, 606, 849, 215, 458, 701, 944, 137, 380, 623, 866, 138, 381, 624, 867, 207, 450, 693, 936, 107, 350, 593, 836)(48, 291, 534, 777, 56, 299, 542, 785, 134, 377, 620, 863, 94, 337, 580, 823, 96, 339, 582, 825, 194, 437, 680, 923, 110, 353, 596, 839, 209, 452, 695, 938, 121, 364, 607, 850)(62, 305, 548, 791, 141, 384, 627, 870, 213, 456, 699, 942, 116, 359, 602, 845, 123, 366, 609, 852, 166, 409, 652, 895, 75, 318, 561, 804, 165, 408, 651, 894, 145, 388, 631, 874)(66, 309, 552, 795, 148, 391, 634, 877, 236, 479, 722, 965, 161, 404, 647, 890, 135, 378, 621, 864, 170, 413, 656, 899, 171, 414, 657, 900, 195, 438, 681, 924, 150, 393, 636, 879)(73, 316, 559, 802, 76, 319, 562, 805, 167, 410, 653, 896, 143, 386, 629, 872, 144, 387, 630, 873, 234, 477, 720, 963, 153, 396, 639, 882, 212, 455, 698, 941, 162, 405, 648, 891)(82, 325, 568, 811, 174, 417, 660, 903, 204, 447, 690, 933, 157, 400, 643, 886, 164, 407, 650, 893, 226, 469, 712, 955, 129, 372, 615, 858, 225, 468, 711, 954, 178, 421, 664, 907)(86, 329, 572, 815, 88, 331, 574, 817, 182, 425, 668, 911, 221, 464, 707, 950, 124, 367, 610, 853, 220, 463, 706, 949, 187, 430, 673, 916, 192, 435, 678, 921, 168, 411, 654, 897)(89, 332, 575, 818, 179, 422, 665, 908, 227, 470, 713, 956, 222, 465, 708, 951, 235, 478, 721, 964, 188, 431, 674, 917, 91, 334, 577, 820, 186, 429, 672, 915, 184, 427, 670, 913)(103, 346, 589, 832, 198, 441, 684, 927, 203, 446, 689, 932, 128, 371, 614, 857, 130, 373, 616, 859, 214, 457, 700, 943, 176, 419, 662, 905, 177, 420, 663, 906, 201, 444, 687, 930)(106, 349, 592, 835, 111, 354, 597, 840, 210, 453, 696, 939, 117, 360, 603, 846, 119, 362, 605, 848, 216, 459, 702, 945, 230, 473, 716, 959, 193, 436, 679, 922, 205, 448, 691, 934)(109, 352, 595, 838, 206, 449, 692, 935, 232, 475, 718, 961, 140, 383, 626, 869, 231, 474, 717, 960, 219, 462, 705, 948, 122, 365, 608, 851, 218, 461, 704, 947, 208, 451, 694, 937)(149, 392, 635, 878, 154, 397, 640, 883, 229, 472, 715, 958, 158, 401, 644, 887, 160, 403, 646, 889, 211, 454, 697, 940, 242, 485, 728, 971, 233, 476, 719, 962, 217, 460, 703, 946)(152, 395, 638, 881, 196, 439, 682, 925, 243, 486, 729, 972, 173, 416, 659, 902, 190, 433, 676, 919, 240, 483, 726, 969, 163, 406, 649, 892, 228, 471, 714, 957, 237, 480, 723, 966)(183, 426, 669, 912, 185, 428, 671, 914, 239, 482, 725, 968, 199, 442, 685, 928, 200, 443, 686, 929, 241, 484, 727, 970, 223, 466, 709, 952, 224, 467, 710, 953, 238, 481, 724, 967)
	L = (1, 245)(2, 248)(3, 254)(4, 249)(5, 244)(6, 259)(7, 264)(8, 252)(9, 269)(10, 272)(11, 255)(12, 246)(13, 280)(14, 283)(15, 260)(16, 247)(17, 288)(18, 262)(19, 295)(20, 298)(21, 265)(22, 250)(23, 306)(24, 309)(25, 270)(26, 251)(27, 313)(28, 318)(29, 273)(30, 253)(31, 326)(32, 276)(33, 331)(34, 334)(35, 279)(36, 339)(37, 281)(38, 256)(39, 308)(40, 284)(41, 257)(42, 353)(43, 355)(44, 289)(45, 258)(46, 314)(47, 291)(48, 362)(49, 365)(50, 367)(51, 296)(52, 261)(53, 369)(54, 372)(55, 299)(56, 263)(57, 347)(58, 302)(59, 381)(60, 383)(61, 305)(62, 387)(63, 307)(64, 266)(65, 328)(66, 310)(67, 267)(68, 396)(69, 398)(70, 268)(71, 287)(72, 316)(73, 403)(74, 406)(75, 319)(76, 271)(77, 390)(78, 322)(79, 414)(80, 416)(81, 325)(82, 420)(83, 327)(84, 274)(85, 282)(86, 409)(87, 332)(88, 275)(89, 424)(90, 419)(91, 335)(92, 277)(93, 434)(94, 436)(95, 340)(96, 278)(97, 357)(98, 439)(99, 343)(100, 440)(101, 400)(102, 346)(103, 443)(104, 379)(105, 349)(106, 446)(107, 421)(108, 352)(109, 408)(110, 354)(111, 285)(112, 356)(113, 286)(114, 338)(115, 359)(116, 455)(117, 457)(118, 363)(119, 290)(120, 385)(121, 391)(122, 366)(123, 292)(124, 368)(125, 293)(126, 294)(127, 371)(128, 467)(129, 373)(130, 297)(131, 375)(132, 465)(133, 471)(134, 378)(135, 401)(136, 300)(137, 469)(138, 301)(139, 337)(140, 384)(141, 303)(142, 361)(143, 476)(144, 304)(145, 478)(146, 423)(147, 412)(148, 392)(149, 364)(150, 341)(151, 395)(152, 468)(153, 397)(154, 311)(155, 399)(156, 312)(157, 441)(158, 377)(159, 404)(160, 315)(161, 418)(162, 463)(163, 407)(164, 317)(165, 351)(166, 422)(167, 411)(168, 466)(169, 320)(170, 376)(171, 321)(172, 386)(173, 417)(174, 323)(175, 402)(176, 428)(177, 324)(178, 449)(179, 329)(180, 452)(181, 330)(182, 426)(183, 477)(184, 475)(185, 333)(186, 430)(187, 456)(188, 451)(189, 433)(190, 479)(191, 435)(192, 336)(193, 382)(194, 438)(195, 485)(196, 393)(197, 342)(198, 344)(199, 405)(200, 345)(201, 450)(202, 447)(203, 348)(204, 474)(205, 472)(206, 350)(207, 473)(208, 483)(209, 389)(210, 454)(211, 482)(212, 358)(213, 429)(214, 458)(215, 360)(216, 460)(217, 484)(218, 380)(219, 486)(220, 442)(221, 388)(222, 374)(223, 410)(224, 370)(225, 394)(226, 461)(227, 462)(228, 413)(229, 481)(230, 444)(231, 445)(232, 480)(233, 415)(234, 425)(235, 464)(236, 432)(237, 427)(238, 448)(239, 453)(240, 431)(241, 459)(242, 437)(243, 470)(487, 732)(488, 736)(489, 735)(490, 743)(491, 739)(492, 730)(493, 738)(494, 753)(495, 731)(496, 748)(497, 742)(498, 763)(499, 762)(500, 746)(501, 772)(502, 749)(503, 733)(504, 779)(505, 734)(506, 777)(507, 752)(508, 789)(509, 788)(510, 756)(511, 798)(512, 757)(513, 737)(514, 802)(515, 760)(516, 809)(517, 808)(518, 815)(519, 740)(520, 765)(521, 823)(522, 741)(523, 768)(524, 830)(525, 829)(526, 771)(527, 836)(528, 835)(529, 775)(530, 780)(531, 778)(532, 744)(533, 846)(534, 745)(535, 845)(536, 782)(537, 824)(538, 783)(539, 747)(540, 857)(541, 786)(542, 862)(543, 861)(544, 866)(545, 750)(546, 791)(547, 872)(548, 751)(549, 794)(550, 875)(551, 833)(552, 797)(553, 879)(554, 878)(555, 800)(556, 803)(557, 754)(558, 887)(559, 755)(560, 886)(561, 806)(562, 895)(563, 837)(564, 899)(565, 758)(566, 811)(567, 905)(568, 759)(569, 814)(570, 844)(571, 876)(572, 818)(573, 909)(574, 819)(575, 761)(576, 912)(577, 822)(578, 917)(579, 916)(580, 826)(581, 773)(582, 827)(583, 764)(584, 924)(585, 880)(586, 766)(587, 832)(588, 928)(589, 767)(590, 792)(591, 927)(592, 769)(593, 838)(594, 804)(595, 770)(596, 793)(597, 923)(598, 790)(599, 888)(600, 847)(601, 882)(602, 774)(603, 849)(604, 898)(605, 850)(606, 776)(607, 946)(608, 787)(609, 948)(610, 831)(611, 950)(612, 816)(613, 952)(614, 781)(615, 828)(616, 955)(617, 956)(618, 784)(619, 864)(620, 958)(621, 785)(622, 885)(623, 851)(624, 868)(625, 959)(626, 871)(627, 961)(628, 931)(629, 841)(630, 874)(631, 911)(632, 839)(633, 812)(634, 938)(635, 795)(636, 881)(637, 858)(638, 796)(639, 813)(640, 963)(641, 810)(642, 920)(643, 799)(644, 890)(645, 926)(646, 891)(647, 801)(648, 968)(649, 807)(650, 969)(651, 937)(652, 897)(653, 970)(654, 805)(655, 843)(656, 892)(657, 901)(658, 971)(659, 904)(660, 972)(661, 965)(662, 884)(663, 907)(664, 936)(665, 852)(666, 855)(667, 913)(668, 873)(669, 817)(670, 957)(671, 943)(672, 870)(673, 820)(674, 919)(675, 877)(676, 821)(677, 865)(678, 856)(679, 863)(680, 940)(681, 825)(682, 860)(683, 842)(684, 933)(685, 853)(686, 930)(687, 945)(688, 869)(689, 934)(690, 834)(691, 953)(692, 954)(693, 906)(694, 964)(695, 918)(696, 914)(697, 840)(698, 942)(699, 949)(700, 939)(701, 859)(702, 929)(703, 848)(704, 893)(705, 908)(706, 941)(707, 951)(708, 854)(709, 921)(710, 932)(711, 966)(712, 944)(713, 925)(714, 910)(715, 922)(716, 867)(717, 903)(718, 915)(719, 896)(720, 967)(721, 894)(722, 902)(723, 935)(724, 883)(725, 889)(726, 947)(727, 962)(728, 900)(729, 960)
	local type(s) :: { ( 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3 ) }
Outer automorphisms :: reflexible
Dual of E28.3187
Transitivity :: VT+
Graph::
	v = 27 e = 486 f = 405
	degree seq :: [ 36^27 ]

E28.3189 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 9})
Quotient :: loop^2
Aut^+ = (C9 : C9) : C3 (small group id <243, 28>)
Aut   = ((C9 : C9) : C3) : C2 (small group id <486, 39>)
|r| :: 2
Presentation :: [ Y3, R^2, Y2^3, Y1^3, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-1, Y2 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, (Y2 * Y1 * Y2 * Y1^-1)^3, (Y1^-1 * Y2^-1 * Y1 * Y2^-1)^3, Y2^-1 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y2^-1 * Y1^-1 * Y2 * Y1^-1)^3, Y1^-1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2^-1, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y1^-1 * Y3^-1 * Y2^-1)^9 ]
Map:: polytopal non-degenerate
	R = (1, 244, 487, 730)(2, 245, 488, 731)(3, 246, 489, 732)(4, 247, 490, 733)(5, 248, 491, 734)(6, 249, 492, 735)(7, 250, 493, 736)(8, 251, 494, 737)(9, 252, 495, 738)(10, 253, 496, 739)(11, 254, 497, 740)(12, 255, 498, 741)(13, 256, 499, 742)(14, 257, 500, 743)(15, 258, 501, 744)(16, 259, 502, 745)(17, 260, 503, 746)(18, 261, 504, 747)(19, 262, 505, 748)(20, 263, 506, 749)(21, 264, 507, 750)(22, 265, 508, 751)(23, 266, 509, 752)(24, 267, 510, 753)(25, 268, 511, 754)(26, 269, 512, 755)(27, 270, 513, 756)(28, 271, 514, 757)(29, 272, 515, 758)(30, 273, 516, 759)(31, 274, 517, 760)(32, 275, 518, 761)(33, 276, 519, 762)(34, 277, 520, 763)(35, 278, 521, 764)(36, 279, 522, 765)(37, 280, 523, 766)(38, 281, 524, 767)(39, 282, 525, 768)(40, 283, 526, 769)(41, 284, 527, 770)(42, 285, 528, 771)(43, 286, 529, 772)(44, 287, 530, 773)(45, 288, 531, 774)(46, 289, 532, 775)(47, 290, 533, 776)(48, 291, 534, 777)(49, 292, 535, 778)(50, 293, 536, 779)(51, 294, 537, 780)(52, 295, 538, 781)(53, 296, 539, 782)(54, 297, 540, 783)(55, 298, 541, 784)(56, 299, 542, 785)(57, 300, 543, 786)(58, 301, 544, 787)(59, 302, 545, 788)(60, 303, 546, 789)(61, 304, 547, 790)(62, 305, 548, 791)(63, 306, 549, 792)(64, 307, 550, 793)(65, 308, 551, 794)(66, 309, 552, 795)(67, 310, 553, 796)(68, 311, 554, 797)(69, 312, 555, 798)(70, 313, 556, 799)(71, 314, 557, 800)(72, 315, 558, 801)(73, 316, 559, 802)(74, 317, 560, 803)(75, 318, 561, 804)(76, 319, 562, 805)(77, 320, 563, 806)(78, 321, 564, 807)(79, 322, 565, 808)(80, 323, 566, 809)(81, 324, 567, 810)(82, 325, 568, 811)(83, 326, 569, 812)(84, 327, 570, 813)(85, 328, 571, 814)(86, 329, 572, 815)(87, 330, 573, 816)(88, 331, 574, 817)(89, 332, 575, 818)(90, 333, 576, 819)(91, 334, 577, 820)(92, 335, 578, 821)(93, 336, 579, 822)(94, 337, 580, 823)(95, 338, 581, 824)(96, 339, 582, 825)(97, 340, 583, 826)(98, 341, 584, 827)(99, 342, 585, 828)(100, 343, 586, 829)(101, 344, 587, 830)(102, 345, 588, 831)(103, 346, 589, 832)(104, 347, 590, 833)(105, 348, 591, 834)(106, 349, 592, 835)(107, 350, 593, 836)(108, 351, 594, 837)(109, 352, 595, 838)(110, 353, 596, 839)(111, 354, 597, 840)(112, 355, 598, 841)(113, 356, 599, 842)(114, 357, 600, 843)(115, 358, 601, 844)(116, 359, 602, 845)(117, 360, 603, 846)(118, 361, 604, 847)(119, 362, 605, 848)(120, 363, 606, 849)(121, 364, 607, 850)(122, 365, 608, 851)(123, 366, 609, 852)(124, 367, 610, 853)(125, 368, 611, 854)(126, 369, 612, 855)(127, 370, 613, 856)(128, 371, 614, 857)(129, 372, 615, 858)(130, 373, 616, 859)(131, 374, 617, 860)(132, 375, 618, 861)(133, 376, 619, 862)(134, 377, 620, 863)(135, 378, 621, 864)(136, 379, 622, 865)(137, 380, 623, 866)(138, 381, 624, 867)(139, 382, 625, 868)(140, 383, 626, 869)(141, 384, 627, 870)(142, 385, 628, 871)(143, 386, 629, 872)(144, 387, 630, 873)(145, 388, 631, 874)(146, 389, 632, 875)(147, 390, 633, 876)(148, 391, 634, 877)(149, 392, 635, 878)(150, 393, 636, 879)(151, 394, 637, 880)(152, 395, 638, 881)(153, 396, 639, 882)(154, 397, 640, 883)(155, 398, 641, 884)(156, 399, 642, 885)(157, 400, 643, 886)(158, 401, 644, 887)(159, 402, 645, 888)(160, 403, 646, 889)(161, 404, 647, 890)(162, 405, 648, 891)(163, 406, 649, 892)(164, 407, 650, 893)(165, 408, 651, 894)(166, 409, 652, 895)(167, 410, 653, 896)(168, 411, 654, 897)(169, 412, 655, 898)(170, 413, 656, 899)(171, 414, 657, 900)(172, 415, 658, 901)(173, 416, 659, 902)(174, 417, 660, 903)(175, 418, 661, 904)(176, 419, 662, 905)(177, 420, 663, 906)(178, 421, 664, 907)(179, 422, 665, 908)(180, 423, 666, 909)(181, 424, 667, 910)(182, 425, 668, 911)(183, 426, 669, 912)(184, 427, 670, 913)(185, 428, 671, 914)(186, 429, 672, 915)(187, 430, 673, 916)(188, 431, 674, 917)(189, 432, 675, 918)(190, 433, 676, 919)(191, 434, 677, 920)(192, 435, 678, 921)(193, 436, 679, 922)(194, 437, 680, 923)(195, 438, 681, 924)(196, 439, 682, 925)(197, 440, 683, 926)(198, 441, 684, 927)(199, 442, 685, 928)(200, 443, 686, 929)(201, 444, 687, 930)(202, 445, 688, 931)(203, 446, 689, 932)(204, 447, 690, 933)(205, 448, 691, 934)(206, 449, 692, 935)(207, 450, 693, 936)(208, 451, 694, 937)(209, 452, 695, 938)(210, 453, 696, 939)(211, 454, 697, 940)(212, 455, 698, 941)(213, 456, 699, 942)(214, 457, 700, 943)(215, 458, 701, 944)(216, 459, 702, 945)(217, 460, 703, 946)(218, 461, 704, 947)(219, 462, 705, 948)(220, 463, 706, 949)(221, 464, 707, 950)(222, 465, 708, 951)(223, 466, 709, 952)(224, 467, 710, 953)(225, 468, 711, 954)(226, 469, 712, 955)(227, 470, 713, 956)(228, 471, 714, 957)(229, 472, 715, 958)(230, 473, 716, 959)(231, 474, 717, 960)(232, 475, 718, 961)(233, 476, 719, 962)(234, 477, 720, 963)(235, 478, 721, 964)(236, 479, 722, 965)(237, 480, 723, 966)(238, 481, 724, 967)(239, 482, 725, 968)(240, 483, 726, 969)(241, 484, 727, 970)(242, 485, 728, 971)(243, 486, 729, 972)
	L = (1, 245)(2, 247)(3, 251)(4, 244)(5, 255)(6, 257)(7, 259)(8, 252)(9, 246)(10, 265)(11, 267)(12, 256)(13, 248)(14, 258)(15, 249)(16, 260)(17, 250)(18, 281)(19, 283)(20, 285)(21, 287)(22, 266)(23, 253)(24, 268)(25, 254)(26, 297)(27, 299)(28, 301)(29, 303)(30, 305)(31, 307)(32, 309)(33, 311)(34, 313)(35, 315)(36, 317)(37, 319)(38, 282)(39, 261)(40, 284)(41, 262)(42, 286)(43, 263)(44, 288)(45, 264)(46, 337)(47, 339)(48, 341)(49, 343)(50, 345)(51, 347)(52, 349)(53, 351)(54, 298)(55, 269)(56, 300)(57, 270)(58, 302)(59, 271)(60, 304)(61, 272)(62, 306)(63, 273)(64, 308)(65, 274)(66, 310)(67, 275)(68, 312)(69, 276)(70, 314)(71, 277)(72, 316)(73, 278)(74, 318)(75, 279)(76, 320)(77, 280)(78, 369)(79, 402)(80, 398)(81, 405)(82, 407)(83, 409)(84, 387)(85, 411)(86, 413)(87, 415)(88, 416)(89, 418)(90, 420)(91, 421)(92, 423)(93, 424)(94, 338)(95, 289)(96, 340)(97, 290)(98, 342)(99, 291)(100, 344)(101, 292)(102, 346)(103, 293)(104, 348)(105, 294)(106, 350)(107, 295)(108, 352)(109, 296)(110, 370)(111, 446)(112, 451)(113, 391)(114, 453)(115, 454)(116, 456)(117, 377)(118, 372)(119, 441)(120, 435)(121, 461)(122, 376)(123, 463)(124, 384)(125, 400)(126, 401)(127, 449)(128, 447)(129, 458)(130, 335)(131, 466)(132, 439)(133, 462)(134, 457)(135, 468)(136, 469)(137, 330)(138, 471)(139, 326)(140, 472)(141, 464)(142, 426)(143, 364)(144, 410)(145, 443)(146, 475)(147, 476)(148, 452)(149, 432)(150, 428)(151, 357)(152, 333)(153, 480)(154, 431)(155, 404)(156, 437)(157, 448)(158, 321)(159, 403)(160, 322)(161, 323)(162, 406)(163, 324)(164, 408)(165, 325)(166, 382)(167, 327)(168, 412)(169, 328)(170, 414)(171, 329)(172, 380)(173, 417)(174, 331)(175, 419)(176, 332)(177, 395)(178, 422)(179, 334)(180, 373)(181, 425)(182, 336)(183, 473)(184, 366)(185, 479)(186, 383)(187, 355)(188, 481)(189, 478)(190, 485)(191, 378)(192, 460)(193, 374)(194, 482)(195, 396)(196, 467)(197, 359)(198, 459)(199, 486)(200, 474)(201, 389)(202, 381)(203, 450)(204, 465)(205, 368)(206, 353)(207, 354)(208, 430)(209, 356)(210, 394)(211, 455)(212, 358)(213, 440)(214, 360)(215, 361)(216, 362)(217, 363)(218, 386)(219, 365)(220, 427)(221, 367)(222, 371)(223, 436)(224, 375)(225, 434)(226, 470)(227, 379)(228, 445)(229, 429)(230, 385)(231, 388)(232, 444)(233, 477)(234, 390)(235, 392)(236, 393)(237, 438)(238, 397)(239, 399)(240, 442)(241, 433)(242, 484)(243, 483)(487, 732)(488, 735)(489, 734)(490, 739)(491, 730)(492, 736)(493, 731)(494, 747)(495, 749)(496, 740)(497, 733)(498, 755)(499, 757)(500, 759)(501, 761)(502, 763)(503, 765)(504, 748)(505, 737)(506, 750)(507, 738)(508, 775)(509, 777)(510, 779)(511, 781)(512, 756)(513, 741)(514, 758)(515, 742)(516, 760)(517, 743)(518, 762)(519, 744)(520, 764)(521, 745)(522, 766)(523, 746)(524, 807)(525, 809)(526, 811)(527, 813)(528, 815)(529, 817)(530, 819)(531, 821)(532, 776)(533, 751)(534, 778)(535, 752)(536, 780)(537, 753)(538, 782)(539, 754)(540, 839)(541, 841)(542, 843)(543, 845)(544, 847)(545, 849)(546, 851)(547, 853)(548, 855)(549, 857)(550, 859)(551, 861)(552, 863)(553, 865)(554, 867)(555, 869)(556, 871)(557, 873)(558, 875)(559, 877)(560, 879)(561, 881)(562, 883)(563, 885)(564, 808)(565, 767)(566, 810)(567, 768)(568, 812)(569, 769)(570, 814)(571, 770)(572, 816)(573, 771)(574, 818)(575, 772)(576, 820)(577, 773)(578, 822)(579, 774)(580, 887)(581, 913)(582, 915)(583, 916)(584, 918)(585, 919)(586, 921)(587, 893)(588, 889)(589, 925)(590, 927)(591, 929)(592, 892)(593, 931)(594, 898)(595, 911)(596, 840)(597, 783)(598, 842)(599, 784)(600, 844)(601, 785)(602, 846)(603, 786)(604, 848)(605, 787)(606, 850)(607, 788)(608, 852)(609, 789)(610, 854)(611, 790)(612, 856)(613, 791)(614, 858)(615, 792)(616, 860)(617, 793)(618, 862)(619, 794)(620, 864)(621, 795)(622, 866)(623, 796)(624, 868)(625, 797)(626, 870)(627, 798)(628, 872)(629, 799)(630, 874)(631, 800)(632, 876)(633, 801)(634, 878)(635, 802)(636, 880)(637, 803)(638, 882)(639, 804)(640, 884)(641, 805)(642, 886)(643, 806)(644, 912)(645, 950)(646, 924)(647, 954)(648, 952)(649, 930)(650, 923)(651, 942)(652, 969)(653, 948)(654, 956)(655, 933)(656, 935)(657, 834)(658, 961)(659, 957)(660, 953)(661, 827)(662, 939)(663, 936)(664, 825)(665, 963)(666, 938)(667, 943)(668, 934)(669, 823)(670, 914)(671, 824)(672, 907)(673, 917)(674, 826)(675, 904)(676, 920)(677, 828)(678, 922)(679, 829)(680, 830)(681, 831)(682, 926)(683, 832)(684, 928)(685, 833)(686, 900)(687, 835)(688, 932)(689, 836)(690, 837)(691, 838)(692, 968)(693, 971)(694, 897)(695, 972)(696, 951)(697, 958)(698, 891)(699, 962)(700, 959)(701, 908)(702, 890)(703, 966)(704, 902)(705, 970)(706, 901)(707, 964)(708, 905)(709, 941)(710, 967)(711, 945)(712, 946)(713, 937)(714, 947)(715, 960)(716, 910)(717, 940)(718, 949)(719, 894)(720, 944)(721, 888)(722, 895)(723, 955)(724, 903)(725, 899)(726, 965)(727, 896)(728, 906)(729, 909)
	local type(s) :: { ( 3, 18, 3, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.3186
Transitivity :: VT+
Graph:: simple
	v = 243 e = 486 f = 189
	degree seq :: [ 4^243 ]

E28.3190 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
Aut   = $<648, 301>$ (small group id <648, 301>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y1 * Y3)^3, (Y1 * Y2)^6, (Y2 * Y1 * Y3 * Y2 * Y1)^6, Y3 * Y1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 325, 2, 326)(3, 327, 7, 331)(4, 328, 9, 333)(5, 329, 10, 334)(6, 330, 12, 336)(8, 332, 15, 339)(11, 335, 19, 343)(13, 337, 21, 345)(14, 338, 23, 347)(16, 340, 25, 349)(17, 341, 26, 350)(18, 342, 28, 352)(20, 344, 30, 354)(22, 346, 33, 357)(24, 348, 35, 359)(27, 351, 40, 364)(29, 353, 42, 366)(31, 355, 38, 362)(32, 356, 46, 370)(34, 358, 48, 372)(36, 360, 51, 375)(37, 361, 44, 368)(39, 363, 54, 378)(41, 365, 56, 380)(43, 367, 59, 383)(45, 369, 61, 385)(47, 371, 63, 387)(49, 373, 66, 390)(50, 374, 65, 389)(52, 376, 69, 393)(53, 377, 70, 394)(55, 379, 72, 396)(57, 381, 75, 399)(58, 382, 74, 398)(60, 384, 78, 402)(62, 386, 80, 404)(64, 388, 83, 407)(67, 391, 86, 410)(68, 392, 87, 411)(71, 395, 90, 414)(73, 397, 93, 417)(76, 400, 96, 420)(77, 401, 97, 421)(79, 403, 99, 423)(81, 405, 102, 426)(82, 406, 101, 425)(84, 408, 105, 429)(85, 409, 106, 430)(88, 412, 109, 433)(89, 413, 110, 434)(91, 415, 113, 437)(92, 416, 112, 436)(94, 418, 116, 440)(95, 419, 117, 441)(98, 422, 120, 444)(100, 424, 123, 447)(103, 427, 126, 450)(104, 428, 127, 451)(107, 431, 130, 454)(108, 432, 131, 455)(111, 435, 222, 546)(114, 438, 227, 551)(115, 439, 228, 552)(118, 442, 232, 556)(119, 443, 233, 557)(121, 445, 235, 559)(122, 446, 200, 524)(124, 448, 234, 558)(125, 449, 239, 563)(128, 452, 243, 567)(129, 453, 244, 568)(132, 456, 225, 549)(133, 457, 240, 564)(134, 458, 249, 573)(135, 459, 252, 576)(136, 460, 255, 579)(137, 461, 257, 581)(138, 462, 260, 584)(139, 463, 262, 586)(140, 464, 251, 575)(141, 465, 266, 590)(142, 466, 268, 592)(143, 467, 254, 578)(144, 468, 272, 596)(145, 469, 273, 597)(146, 470, 276, 600)(147, 471, 229, 553)(148, 472, 259, 583)(149, 473, 280, 604)(150, 474, 281, 605)(151, 475, 218, 542)(152, 476, 264, 588)(153, 477, 285, 609)(154, 478, 265, 589)(155, 479, 287, 611)(156, 480, 288, 612)(157, 481, 290, 614)(158, 482, 270, 594)(159, 483, 271, 595)(160, 484, 248, 572)(161, 485, 295, 619)(162, 486, 275, 599)(163, 487, 293, 617)(164, 488, 201, 525)(165, 489, 253, 577)(166, 490, 279, 603)(167, 491, 299, 623)(168, 492, 205, 529)(169, 493, 286, 610)(170, 494, 193, 517)(171, 495, 250, 574)(172, 496, 284, 608)(173, 497, 304, 628)(174, 498, 212, 536)(175, 499, 214, 538)(176, 500, 282, 606)(177, 501, 308, 632)(178, 502, 269, 593)(179, 503, 310, 634)(180, 504, 186, 510)(181, 505, 292, 616)(182, 506, 207, 531)(183, 507, 277, 601)(184, 508, 274, 598)(185, 509, 312, 636)(187, 511, 296, 620)(188, 512, 256, 580)(189, 513, 297, 621)(190, 514, 314, 638)(191, 515, 238, 562)(192, 516, 298, 622)(194, 518, 258, 582)(195, 519, 261, 585)(196, 520, 302, 626)(197, 521, 316, 640)(198, 522, 305, 629)(199, 523, 303, 627)(202, 526, 263, 587)(203, 527, 289, 613)(204, 528, 318, 642)(206, 530, 309, 633)(208, 532, 267, 591)(209, 533, 291, 615)(210, 534, 294, 618)(211, 535, 319, 643)(213, 537, 242, 566)(215, 539, 311, 635)(216, 540, 320, 644)(217, 541, 313, 637)(219, 543, 278, 602)(220, 544, 223, 547)(221, 545, 307, 631)(224, 548, 321, 645)(226, 550, 315, 639)(230, 554, 283, 607)(231, 555, 306, 630)(236, 560, 323, 647)(237, 561, 324, 648)(241, 565, 301, 625)(245, 569, 317, 641)(246, 570, 300, 624)(247, 571, 322, 646)(649, 973, 651, 975)(650, 974, 653, 977)(652, 976, 656, 980)(654, 978, 659, 983)(655, 979, 661, 985)(657, 981, 664, 988)(658, 982, 665, 989)(660, 984, 668, 992)(662, 986, 670, 994)(663, 987, 672, 996)(666, 990, 675, 999)(667, 991, 677, 1001)(669, 993, 679, 1003)(671, 995, 682, 1006)(673, 997, 684, 1008)(674, 998, 686, 1010)(676, 1000, 689, 1013)(678, 1002, 691, 1015)(680, 1004, 693, 1017)(681, 1005, 695, 1019)(683, 1007, 697, 1021)(685, 1009, 700, 1024)(687, 1011, 701, 1025)(688, 1012, 703, 1027)(690, 1014, 705, 1029)(692, 1016, 708, 1032)(694, 1018, 710, 1034)(696, 1020, 712, 1036)(698, 1022, 715, 1039)(699, 1023, 714, 1038)(702, 1026, 719, 1043)(704, 1028, 721, 1045)(706, 1030, 724, 1048)(707, 1031, 723, 1047)(709, 1033, 727, 1051)(711, 1035, 729, 1053)(713, 1037, 732, 1056)(716, 1040, 733, 1057)(717, 1041, 736, 1060)(718, 1042, 737, 1061)(720, 1044, 739, 1063)(722, 1046, 742, 1066)(725, 1049, 743, 1067)(726, 1050, 746, 1070)(728, 1052, 748, 1072)(730, 1054, 751, 1075)(731, 1055, 750, 1074)(734, 1058, 755, 1079)(735, 1059, 756, 1080)(738, 1062, 759, 1083)(740, 1064, 762, 1086)(741, 1065, 761, 1085)(744, 1068, 766, 1090)(745, 1069, 767, 1091)(747, 1071, 769, 1093)(749, 1073, 772, 1096)(752, 1076, 773, 1097)(753, 1077, 776, 1100)(754, 1078, 777, 1101)(757, 1081, 780, 1104)(758, 1082, 857, 1181)(760, 1084, 871, 1195)(763, 1087, 825, 1149)(764, 1088, 856, 1180)(765, 1089, 879, 1203)(768, 1092, 873, 1197)(770, 1094, 884, 1208)(771, 1095, 883, 1207)(774, 1098, 889, 1213)(775, 1099, 890, 1214)(778, 1102, 846, 1170)(779, 1103, 843, 1167)(781, 1105, 845, 1169)(782, 1106, 811, 1135)(783, 1107, 817, 1141)(784, 1108, 798, 1122)(785, 1109, 827, 1151)(786, 1110, 794, 1118)(787, 1111, 833, 1157)(788, 1112, 807, 1131)(789, 1113, 815, 1139)(790, 1114, 840, 1164)(791, 1115, 802, 1126)(792, 1116, 821, 1145)(793, 1117, 847, 1171)(795, 1119, 852, 1176)(796, 1120, 829, 1153)(797, 1121, 805, 1129)(799, 1123, 859, 1183)(800, 1124, 835, 1159)(801, 1125, 809, 1133)(803, 1127, 838, 1162)(804, 1128, 865, 1189)(806, 1130, 814, 1138)(808, 1132, 874, 1198)(810, 1134, 820, 1144)(812, 1136, 885, 1209)(813, 1137, 854, 1178)(816, 1140, 895, 1219)(818, 1142, 948, 1272)(819, 1143, 861, 1185)(822, 1146, 949, 1273)(823, 1147, 864, 1188)(824, 1148, 954, 1278)(826, 1150, 837, 1161)(828, 1152, 931, 1255)(830, 1154, 872, 1196)(831, 1155, 892, 1216)(832, 1156, 844, 1168)(834, 1158, 926, 1250)(836, 1160, 881, 1205)(839, 1163, 880, 1204)(841, 1165, 942, 1266)(842, 1166, 882, 1206)(848, 1172, 965, 1289)(849, 1173, 937, 1261)(850, 1174, 868, 1192)(851, 1175, 863, 1187)(853, 1177, 911, 1235)(855, 1179, 955, 1279)(858, 1182, 869, 1193)(860, 1184, 906, 1230)(862, 1186, 959, 1283)(866, 1190, 922, 1246)(867, 1191, 893, 1217)(870, 1194, 939, 1263)(875, 1199, 970, 1294)(876, 1200, 957, 1281)(877, 1201, 917, 1241)(878, 1202, 971, 1295)(886, 1210, 915, 1239)(887, 1211, 963, 1287)(888, 1212, 950, 1274)(891, 1215, 953, 1277)(894, 1218, 969, 1293)(896, 1220, 898, 1222)(897, 1221, 902, 1226)(899, 1223, 900, 1224)(901, 1225, 936, 1260)(903, 1227, 913, 1237)(904, 1228, 930, 1254)(905, 1229, 918, 1242)(907, 1231, 916, 1240)(908, 1232, 919, 1243)(909, 1233, 925, 1249)(910, 1234, 923, 1247)(912, 1236, 921, 1245)(914, 1238, 927, 1251)(920, 1244, 932, 1256)(924, 1248, 934, 1258)(928, 1252, 940, 1264)(929, 1253, 941, 1265)(933, 1257, 944, 1268)(935, 1259, 945, 1269)(938, 1262, 946, 1270)(943, 1267, 951, 1275)(947, 1271, 958, 1282)(952, 1276, 960, 1284)(956, 1280, 961, 1285)(962, 1286, 966, 1290)(964, 1288, 967, 1291)(968, 1292, 972, 1296)
	L = (1, 652)(2, 654)(3, 656)(4, 649)(5, 659)(6, 650)(7, 662)(8, 651)(9, 660)(10, 666)(11, 653)(12, 657)(13, 670)(14, 655)(15, 671)(16, 668)(17, 675)(18, 658)(19, 676)(20, 664)(21, 680)(22, 661)(23, 663)(24, 682)(25, 685)(26, 687)(27, 665)(28, 667)(29, 689)(30, 692)(31, 693)(32, 669)(33, 694)(34, 672)(35, 698)(36, 700)(37, 673)(38, 701)(39, 674)(40, 702)(41, 677)(42, 706)(43, 708)(44, 678)(45, 679)(46, 681)(47, 710)(48, 713)(49, 715)(50, 683)(51, 716)(52, 684)(53, 686)(54, 688)(55, 719)(56, 722)(57, 724)(58, 690)(59, 725)(60, 691)(61, 718)(62, 695)(63, 730)(64, 732)(65, 696)(66, 733)(67, 697)(68, 699)(69, 735)(70, 709)(71, 703)(72, 740)(73, 742)(74, 704)(75, 743)(76, 705)(77, 707)(78, 745)(79, 737)(80, 749)(81, 751)(82, 711)(83, 752)(84, 712)(85, 714)(86, 754)(87, 717)(88, 756)(89, 727)(90, 760)(91, 762)(92, 720)(93, 763)(94, 721)(95, 723)(96, 765)(97, 726)(98, 767)(99, 770)(100, 772)(101, 728)(102, 773)(103, 729)(104, 731)(105, 775)(106, 734)(107, 777)(108, 736)(109, 781)(110, 848)(111, 871)(112, 738)(113, 825)(114, 739)(115, 741)(116, 876)(117, 744)(118, 879)(119, 746)(120, 803)(121, 884)(122, 747)(123, 801)(124, 748)(125, 750)(126, 887)(127, 753)(128, 890)(129, 755)(130, 823)(131, 888)(132, 845)(133, 757)(134, 898)(135, 901)(136, 904)(137, 906)(138, 909)(139, 911)(140, 912)(141, 915)(142, 917)(143, 907)(144, 891)(145, 922)(146, 925)(147, 926)(148, 923)(149, 870)(150, 930)(151, 931)(152, 918)(153, 771)(154, 916)(155, 768)(156, 937)(157, 939)(158, 899)(159, 921)(160, 942)(161, 883)(162, 902)(163, 896)(164, 895)(165, 927)(166, 900)(167, 886)(168, 885)(169, 936)(170, 949)(171, 932)(172, 897)(173, 953)(174, 948)(175, 778)(176, 955)(177, 761)(178, 913)(179, 860)(180, 859)(181, 910)(182, 880)(183, 959)(184, 919)(185, 853)(186, 852)(187, 905)(188, 945)(189, 903)(190, 873)(191, 872)(192, 877)(193, 874)(194, 944)(195, 950)(196, 908)(197, 780)(198, 864)(199, 866)(200, 758)(201, 865)(202, 940)(203, 934)(204, 834)(205, 833)(206, 914)(207, 954)(208, 957)(209, 965)(210, 941)(211, 828)(212, 827)(213, 920)(214, 892)(215, 924)(216, 846)(217, 849)(218, 847)(219, 946)(220, 928)(221, 929)(222, 797)(223, 759)(224, 839)(225, 838)(226, 841)(227, 956)(228, 764)(229, 840)(230, 951)(231, 766)(232, 830)(233, 935)(234, 933)(235, 809)(236, 769)(237, 816)(238, 815)(239, 774)(240, 779)(241, 963)(242, 776)(243, 792)(244, 862)(245, 938)(246, 958)(247, 812)(248, 811)(249, 820)(250, 782)(251, 806)(252, 814)(253, 783)(254, 810)(255, 837)(256, 784)(257, 835)(258, 785)(259, 791)(260, 844)(261, 786)(262, 829)(263, 787)(264, 788)(265, 826)(266, 854)(267, 789)(268, 802)(269, 790)(270, 800)(271, 832)(272, 861)(273, 807)(274, 793)(275, 796)(276, 863)(277, 794)(278, 795)(279, 813)(280, 868)(281, 869)(282, 798)(283, 799)(284, 819)(285, 882)(286, 851)(287, 881)(288, 817)(289, 804)(290, 893)(291, 805)(292, 850)(293, 858)(294, 808)(295, 971)(296, 842)(297, 836)(298, 867)(299, 969)(300, 822)(301, 818)(302, 843)(303, 878)(304, 968)(305, 821)(306, 855)(307, 824)(308, 875)(309, 856)(310, 894)(311, 831)(312, 972)(313, 970)(314, 964)(315, 889)(316, 962)(317, 857)(318, 967)(319, 966)(320, 952)(321, 947)(322, 961)(323, 943)(324, 960)(325, 973)(326, 974)(327, 975)(328, 976)(329, 977)(330, 978)(331, 979)(332, 980)(333, 981)(334, 982)(335, 983)(336, 984)(337, 985)(338, 986)(339, 987)(340, 988)(341, 989)(342, 990)(343, 991)(344, 992)(345, 993)(346, 994)(347, 995)(348, 996)(349, 997)(350, 998)(351, 999)(352, 1000)(353, 1001)(354, 1002)(355, 1003)(356, 1004)(357, 1005)(358, 1006)(359, 1007)(360, 1008)(361, 1009)(362, 1010)(363, 1011)(364, 1012)(365, 1013)(366, 1014)(367, 1015)(368, 1016)(369, 1017)(370, 1018)(371, 1019)(372, 1020)(373, 1021)(374, 1022)(375, 1023)(376, 1024)(377, 1025)(378, 1026)(379, 1027)(380, 1028)(381, 1029)(382, 1030)(383, 1031)(384, 1032)(385, 1033)(386, 1034)(387, 1035)(388, 1036)(389, 1037)(390, 1038)(391, 1039)(392, 1040)(393, 1041)(394, 1042)(395, 1043)(396, 1044)(397, 1045)(398, 1046)(399, 1047)(400, 1048)(401, 1049)(402, 1050)(403, 1051)(404, 1052)(405, 1053)(406, 1054)(407, 1055)(408, 1056)(409, 1057)(410, 1058)(411, 1059)(412, 1060)(413, 1061)(414, 1062)(415, 1063)(416, 1064)(417, 1065)(418, 1066)(419, 1067)(420, 1068)(421, 1069)(422, 1070)(423, 1071)(424, 1072)(425, 1073)(426, 1074)(427, 1075)(428, 1076)(429, 1077)(430, 1078)(431, 1079)(432, 1080)(433, 1081)(434, 1082)(435, 1083)(436, 1084)(437, 1085)(438, 1086)(439, 1087)(440, 1088)(441, 1089)(442, 1090)(443, 1091)(444, 1092)(445, 1093)(446, 1094)(447, 1095)(448, 1096)(449, 1097)(450, 1098)(451, 1099)(452, 1100)(453, 1101)(454, 1102)(455, 1103)(456, 1104)(457, 1105)(458, 1106)(459, 1107)(460, 1108)(461, 1109)(462, 1110)(463, 1111)(464, 1112)(465, 1113)(466, 1114)(467, 1115)(468, 1116)(469, 1117)(470, 1118)(471, 1119)(472, 1120)(473, 1121)(474, 1122)(475, 1123)(476, 1124)(477, 1125)(478, 1126)(479, 1127)(480, 1128)(481, 1129)(482, 1130)(483, 1131)(484, 1132)(485, 1133)(486, 1134)(487, 1135)(488, 1136)(489, 1137)(490, 1138)(491, 1139)(492, 1140)(493, 1141)(494, 1142)(495, 1143)(496, 1144)(497, 1145)(498, 1146)(499, 1147)(500, 1148)(501, 1149)(502, 1150)(503, 1151)(504, 1152)(505, 1153)(506, 1154)(507, 1155)(508, 1156)(509, 1157)(510, 1158)(511, 1159)(512, 1160)(513, 1161)(514, 1162)(515, 1163)(516, 1164)(517, 1165)(518, 1166)(519, 1167)(520, 1168)(521, 1169)(522, 1170)(523, 1171)(524, 1172)(525, 1173)(526, 1174)(527, 1175)(528, 1176)(529, 1177)(530, 1178)(531, 1179)(532, 1180)(533, 1181)(534, 1182)(535, 1183)(536, 1184)(537, 1185)(538, 1186)(539, 1187)(540, 1188)(541, 1189)(542, 1190)(543, 1191)(544, 1192)(545, 1193)(546, 1194)(547, 1195)(548, 1196)(549, 1197)(550, 1198)(551, 1199)(552, 1200)(553, 1201)(554, 1202)(555, 1203)(556, 1204)(557, 1205)(558, 1206)(559, 1207)(560, 1208)(561, 1209)(562, 1210)(563, 1211)(564, 1212)(565, 1213)(566, 1214)(567, 1215)(568, 1216)(569, 1217)(570, 1218)(571, 1219)(572, 1220)(573, 1221)(574, 1222)(575, 1223)(576, 1224)(577, 1225)(578, 1226)(579, 1227)(580, 1228)(581, 1229)(582, 1230)(583, 1231)(584, 1232)(585, 1233)(586, 1234)(587, 1235)(588, 1236)(589, 1237)(590, 1238)(591, 1239)(592, 1240)(593, 1241)(594, 1242)(595, 1243)(596, 1244)(597, 1245)(598, 1246)(599, 1247)(600, 1248)(601, 1249)(602, 1250)(603, 1251)(604, 1252)(605, 1253)(606, 1254)(607, 1255)(608, 1256)(609, 1257)(610, 1258)(611, 1259)(612, 1260)(613, 1261)(614, 1262)(615, 1263)(616, 1264)(617, 1265)(618, 1266)(619, 1267)(620, 1268)(621, 1269)(622, 1270)(623, 1271)(624, 1272)(625, 1273)(626, 1274)(627, 1275)(628, 1276)(629, 1277)(630, 1278)(631, 1279)(632, 1280)(633, 1281)(634, 1282)(635, 1283)(636, 1284)(637, 1285)(638, 1286)(639, 1287)(640, 1288)(641, 1289)(642, 1290)(643, 1291)(644, 1292)(645, 1293)(646, 1294)(647, 1295)(648, 1296)
	local type(s) :: { ( 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.3194
Graph:: simple bipartite
	v = 324 e = 648 f = 270
	degree seq :: [ 4^324 ]

E28.3191 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
Aut   = $<648, 301>$ (small group id <648, 301>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y3^-1)^2, (R * Y3)^2, (R * Y1)^2, R * Y3^2 * Y2 * R * Y2, Y3^6, (Y1 * Y3^-1)^3, Y2 * Y1 * Y2 * Y3^2 * Y1 * Y3^-2, Y3^-1 * Y1 * Y2 * Y3 * Y1 * Y3^-1 * Y1 * Y3^2 * Y2, (Y3^-1 * R * Y1 * Y2 * Y1)^2, Y3^-2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y3^-1, (Y2 * Y1)^6, (Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y3^-2 * Y1 * Y2 * Y1 * Y3^2 * Y1 * Y3 ]
Map:: polyhedral non-degenerate
	R = (1, 325, 2, 326)(3, 327, 9, 333)(4, 328, 12, 336)(5, 329, 14, 338)(6, 330, 16, 340)(7, 331, 19, 343)(8, 332, 21, 345)(10, 334, 26, 350)(11, 335, 28, 352)(13, 337, 32, 356)(15, 339, 36, 360)(17, 341, 40, 364)(18, 342, 42, 366)(20, 344, 46, 370)(22, 346, 50, 374)(23, 347, 51, 375)(24, 348, 54, 378)(25, 349, 56, 380)(27, 351, 41, 365)(29, 353, 63, 387)(30, 354, 64, 388)(31, 355, 65, 389)(33, 357, 66, 390)(34, 358, 67, 391)(35, 359, 69, 393)(37, 361, 73, 397)(38, 362, 76, 400)(39, 363, 78, 402)(43, 367, 85, 409)(44, 368, 86, 410)(45, 369, 87, 411)(47, 371, 88, 412)(48, 372, 89, 413)(49, 373, 91, 415)(52, 376, 98, 422)(53, 377, 99, 423)(55, 379, 103, 427)(57, 381, 105, 429)(58, 382, 106, 430)(59, 383, 82, 406)(60, 384, 81, 405)(61, 385, 107, 431)(62, 386, 109, 433)(68, 392, 117, 441)(70, 394, 118, 442)(71, 395, 119, 443)(72, 396, 101, 425)(74, 398, 125, 449)(75, 399, 126, 450)(77, 401, 130, 454)(79, 403, 132, 456)(80, 404, 133, 457)(83, 407, 134, 458)(84, 408, 136, 460)(90, 414, 144, 468)(92, 416, 145, 469)(93, 417, 146, 470)(94, 418, 128, 452)(95, 419, 122, 446)(96, 420, 151, 475)(97, 421, 153, 477)(100, 424, 158, 482)(102, 426, 159, 483)(104, 428, 160, 484)(108, 432, 168, 492)(110, 434, 169, 493)(111, 435, 170, 494)(112, 436, 171, 495)(113, 437, 143, 467)(114, 438, 172, 496)(115, 439, 175, 499)(116, 440, 140, 464)(120, 444, 181, 505)(121, 445, 167, 491)(123, 447, 184, 508)(124, 448, 186, 510)(127, 451, 191, 515)(129, 453, 192, 516)(131, 455, 193, 517)(135, 459, 201, 525)(137, 461, 202, 526)(138, 462, 203, 527)(139, 463, 204, 528)(141, 465, 205, 529)(142, 466, 208, 532)(147, 471, 214, 538)(148, 472, 200, 524)(149, 473, 215, 539)(150, 474, 216, 540)(152, 476, 185, 509)(154, 478, 221, 545)(155, 479, 222, 546)(156, 480, 223, 547)(157, 481, 211, 535)(161, 485, 226, 550)(162, 486, 218, 542)(163, 487, 229, 553)(164, 488, 206, 530)(165, 489, 230, 554)(166, 490, 233, 557)(173, 497, 197, 521)(174, 498, 243, 567)(176, 500, 244, 568)(177, 501, 245, 569)(178, 502, 190, 514)(179, 503, 212, 536)(180, 504, 246, 570)(182, 506, 248, 572)(183, 507, 249, 573)(187, 511, 254, 578)(188, 512, 255, 579)(189, 513, 256, 580)(194, 518, 259, 583)(195, 519, 251, 575)(196, 520, 262, 586)(198, 522, 263, 587)(199, 523, 266, 590)(207, 531, 276, 600)(209, 533, 277, 601)(210, 534, 278, 602)(213, 537, 279, 603)(217, 541, 282, 606)(219, 543, 253, 577)(220, 544, 252, 576)(224, 548, 269, 593)(225, 549, 290, 614)(227, 551, 275, 599)(228, 552, 289, 613)(231, 555, 286, 610)(232, 556, 265, 589)(234, 558, 295, 619)(235, 559, 272, 596)(236, 560, 257, 581)(237, 561, 291, 615)(238, 562, 273, 597)(239, 563, 268, 592)(240, 564, 271, 595)(241, 565, 292, 616)(242, 566, 260, 584)(247, 571, 287, 611)(250, 574, 299, 623)(258, 582, 307, 631)(261, 585, 306, 630)(264, 588, 303, 627)(267, 591, 312, 636)(270, 594, 308, 632)(274, 598, 309, 633)(280, 604, 304, 628)(281, 605, 301, 625)(283, 607, 305, 629)(284, 608, 298, 622)(285, 609, 313, 637)(288, 612, 300, 624)(293, 617, 319, 643)(294, 618, 315, 639)(296, 620, 302, 626)(297, 621, 318, 642)(310, 634, 324, 648)(311, 635, 320, 644)(314, 638, 323, 647)(316, 640, 322, 646)(317, 641, 321, 645)(649, 973, 651, 975)(650, 974, 654, 978)(652, 976, 659, 983)(653, 977, 658, 982)(655, 979, 666, 990)(656, 980, 665, 989)(657, 981, 671, 995)(660, 984, 678, 1002)(661, 985, 677, 1001)(662, 986, 682, 1006)(663, 987, 675, 999)(664, 988, 685, 1009)(667, 991, 692, 1016)(668, 992, 691, 1015)(669, 993, 696, 1020)(670, 994, 689, 1013)(672, 996, 701, 1025)(673, 997, 700, 1024)(674, 998, 706, 1030)(676, 1000, 709, 1033)(679, 1003, 707, 1031)(680, 1004, 705, 1029)(681, 1005, 708, 1032)(683, 1007, 716, 1040)(684, 1008, 719, 1043)(686, 1010, 723, 1047)(687, 1011, 722, 1046)(688, 1012, 728, 1052)(690, 1014, 731, 1055)(693, 1017, 729, 1053)(694, 1018, 727, 1051)(695, 1019, 730, 1054)(697, 1021, 738, 1062)(698, 1022, 741, 1065)(699, 1023, 743, 1067)(702, 1026, 749, 1073)(703, 1027, 748, 1072)(704, 1028, 740, 1064)(710, 1034, 756, 1080)(711, 1035, 759, 1083)(712, 1036, 760, 1084)(713, 1037, 752, 1076)(714, 1038, 750, 1074)(715, 1039, 762, 1086)(717, 1041, 757, 1081)(718, 1042, 726, 1050)(720, 1044, 768, 1092)(721, 1045, 770, 1094)(724, 1048, 776, 1100)(725, 1049, 775, 1099)(732, 1056, 783, 1107)(733, 1057, 786, 1110)(734, 1058, 787, 1111)(735, 1059, 779, 1103)(736, 1060, 777, 1101)(737, 1061, 789, 1113)(739, 1063, 784, 1108)(742, 1066, 795, 1119)(744, 1068, 798, 1122)(745, 1069, 797, 1121)(746, 1070, 803, 1127)(747, 1071, 804, 1128)(751, 1075, 802, 1126)(753, 1077, 809, 1133)(754, 1078, 811, 1135)(755, 1079, 813, 1137)(758, 1082, 801, 1125)(761, 1085, 796, 1120)(763, 1087, 822, 1146)(764, 1088, 821, 1145)(765, 1089, 826, 1150)(766, 1090, 825, 1149)(767, 1091, 827, 1151)(769, 1093, 788, 1112)(771, 1095, 831, 1155)(772, 1096, 830, 1154)(773, 1097, 836, 1160)(774, 1098, 837, 1161)(778, 1102, 835, 1159)(780, 1104, 842, 1166)(781, 1105, 844, 1168)(782, 1106, 846, 1170)(785, 1109, 834, 1158)(790, 1114, 855, 1179)(791, 1115, 854, 1178)(792, 1116, 859, 1183)(793, 1117, 858, 1182)(794, 1118, 860, 1184)(799, 1123, 866, 1190)(800, 1124, 865, 1189)(805, 1129, 872, 1196)(806, 1130, 856, 1180)(807, 1131, 868, 1192)(808, 1132, 867, 1191)(810, 1134, 875, 1199)(812, 1136, 876, 1200)(814, 1138, 880, 1204)(815, 1139, 879, 1203)(816, 1140, 884, 1208)(817, 1141, 883, 1207)(818, 1142, 885, 1209)(819, 1143, 878, 1202)(820, 1144, 877, 1201)(823, 1147, 839, 1163)(824, 1148, 886, 1210)(828, 1152, 882, 1206)(829, 1153, 895, 1219)(832, 1156, 899, 1223)(833, 1157, 898, 1222)(838, 1162, 905, 1229)(840, 1164, 901, 1225)(841, 1165, 900, 1224)(843, 1167, 908, 1232)(845, 1169, 909, 1233)(847, 1171, 913, 1237)(848, 1172, 912, 1236)(849, 1173, 917, 1241)(850, 1174, 916, 1240)(851, 1175, 918, 1242)(852, 1176, 911, 1235)(853, 1177, 910, 1234)(857, 1181, 919, 1243)(861, 1185, 915, 1239)(862, 1186, 928, 1252)(863, 1187, 929, 1253)(864, 1188, 906, 1230)(869, 1193, 931, 1255)(870, 1194, 933, 1257)(871, 1195, 935, 1259)(873, 1197, 897, 1221)(874, 1198, 939, 1263)(881, 1205, 930, 1254)(887, 1211, 942, 1266)(888, 1212, 927, 1251)(889, 1213, 925, 1249)(890, 1214, 941, 1265)(891, 1215, 936, 1260)(892, 1216, 922, 1246)(893, 1217, 944, 1268)(894, 1218, 921, 1245)(896, 1220, 946, 1270)(902, 1226, 948, 1272)(903, 1227, 950, 1274)(904, 1228, 952, 1276)(907, 1231, 956, 1280)(914, 1238, 947, 1271)(920, 1244, 959, 1283)(923, 1247, 958, 1282)(924, 1248, 953, 1277)(926, 1250, 961, 1285)(932, 1256, 963, 1287)(934, 1258, 964, 1288)(937, 1261, 965, 1289)(938, 1262, 967, 1291)(940, 1264, 966, 1290)(943, 1267, 962, 1286)(945, 1269, 960, 1284)(949, 1273, 968, 1292)(951, 1275, 969, 1293)(954, 1278, 970, 1294)(955, 1279, 972, 1296)(957, 1281, 971, 1295)
	L = (1, 652)(2, 655)(3, 658)(4, 661)(5, 649)(6, 665)(7, 668)(8, 650)(9, 672)(10, 675)(11, 651)(12, 669)(13, 681)(14, 683)(15, 653)(16, 686)(17, 689)(18, 654)(19, 662)(20, 695)(21, 697)(22, 656)(23, 700)(24, 703)(25, 657)(26, 704)(27, 708)(28, 710)(29, 659)(30, 707)(31, 660)(32, 713)(33, 663)(34, 692)(35, 718)(36, 720)(37, 722)(38, 725)(39, 664)(40, 726)(41, 730)(42, 732)(43, 666)(44, 729)(45, 667)(46, 735)(47, 670)(48, 678)(49, 740)(50, 742)(51, 744)(52, 680)(53, 671)(54, 676)(55, 752)(56, 738)(57, 673)(58, 679)(59, 674)(60, 677)(61, 749)(62, 758)(63, 734)(64, 761)(65, 748)(66, 746)(67, 763)(68, 682)(69, 684)(70, 728)(71, 757)(72, 769)(73, 771)(74, 694)(75, 685)(76, 690)(77, 779)(78, 716)(79, 687)(80, 693)(81, 688)(82, 691)(83, 776)(84, 785)(85, 712)(86, 788)(87, 775)(88, 773)(89, 790)(90, 696)(91, 698)(92, 706)(93, 784)(94, 796)(95, 797)(96, 800)(97, 699)(98, 801)(99, 805)(100, 701)(101, 714)(102, 702)(103, 807)(104, 705)(105, 810)(106, 812)(107, 814)(108, 709)(109, 711)(110, 803)(111, 717)(112, 786)(113, 795)(114, 821)(115, 824)(116, 715)(117, 780)(118, 818)(119, 828)(120, 719)(121, 787)(122, 830)(123, 833)(124, 721)(125, 834)(126, 838)(127, 723)(128, 736)(129, 724)(130, 840)(131, 727)(132, 843)(133, 845)(134, 847)(135, 731)(136, 733)(137, 836)(138, 739)(139, 759)(140, 768)(141, 854)(142, 857)(143, 737)(144, 753)(145, 851)(146, 861)(147, 741)(148, 760)(149, 751)(150, 743)(151, 747)(152, 868)(153, 756)(154, 745)(155, 750)(156, 866)(157, 873)(158, 754)(159, 865)(160, 863)(161, 859)(162, 876)(163, 856)(164, 875)(165, 879)(166, 882)(167, 755)(168, 869)(169, 767)(170, 886)(171, 887)(172, 889)(173, 766)(174, 762)(175, 765)(176, 885)(177, 764)(178, 839)(179, 883)(180, 880)(181, 893)(182, 778)(183, 770)(184, 774)(185, 901)(186, 783)(187, 772)(188, 777)(189, 899)(190, 906)(191, 781)(192, 898)(193, 896)(194, 826)(195, 909)(196, 823)(197, 908)(198, 912)(199, 915)(200, 782)(201, 902)(202, 794)(203, 919)(204, 920)(205, 922)(206, 793)(207, 789)(208, 792)(209, 918)(210, 791)(211, 806)(212, 916)(213, 913)(214, 926)(215, 897)(216, 905)(217, 798)(218, 808)(219, 799)(220, 802)(221, 932)(222, 934)(223, 936)(224, 804)(225, 929)(226, 940)(227, 809)(228, 811)(229, 941)(230, 927)(231, 817)(232, 813)(233, 816)(234, 827)(235, 815)(236, 930)(237, 825)(238, 822)(239, 943)(240, 819)(241, 923)(242, 820)(243, 935)(244, 910)(245, 945)(246, 829)(247, 921)(248, 864)(249, 872)(250, 831)(251, 841)(252, 832)(253, 835)(254, 949)(255, 951)(256, 953)(257, 837)(258, 946)(259, 957)(260, 842)(261, 844)(262, 958)(263, 894)(264, 850)(265, 846)(266, 849)(267, 860)(268, 848)(269, 947)(270, 858)(271, 855)(272, 960)(273, 852)(274, 890)(275, 853)(276, 952)(277, 877)(278, 962)(279, 862)(280, 888)(281, 867)(282, 870)(283, 884)(284, 964)(285, 881)(286, 963)(287, 965)(288, 966)(289, 871)(290, 874)(291, 967)(292, 891)(293, 892)(294, 878)(295, 961)(296, 895)(297, 959)(298, 900)(299, 903)(300, 917)(301, 969)(302, 914)(303, 968)(304, 970)(305, 971)(306, 904)(307, 907)(308, 972)(309, 924)(310, 925)(311, 911)(312, 944)(313, 928)(314, 942)(315, 931)(316, 933)(317, 938)(318, 939)(319, 937)(320, 948)(321, 950)(322, 955)(323, 956)(324, 954)(325, 973)(326, 974)(327, 975)(328, 976)(329, 977)(330, 978)(331, 979)(332, 980)(333, 981)(334, 982)(335, 983)(336, 984)(337, 985)(338, 986)(339, 987)(340, 988)(341, 989)(342, 990)(343, 991)(344, 992)(345, 993)(346, 994)(347, 995)(348, 996)(349, 997)(350, 998)(351, 999)(352, 1000)(353, 1001)(354, 1002)(355, 1003)(356, 1004)(357, 1005)(358, 1006)(359, 1007)(360, 1008)(361, 1009)(362, 1010)(363, 1011)(364, 1012)(365, 1013)(366, 1014)(367, 1015)(368, 1016)(369, 1017)(370, 1018)(371, 1019)(372, 1020)(373, 1021)(374, 1022)(375, 1023)(376, 1024)(377, 1025)(378, 1026)(379, 1027)(380, 1028)(381, 1029)(382, 1030)(383, 1031)(384, 1032)(385, 1033)(386, 1034)(387, 1035)(388, 1036)(389, 1037)(390, 1038)(391, 1039)(392, 1040)(393, 1041)(394, 1042)(395, 1043)(396, 1044)(397, 1045)(398, 1046)(399, 1047)(400, 1048)(401, 1049)(402, 1050)(403, 1051)(404, 1052)(405, 1053)(406, 1054)(407, 1055)(408, 1056)(409, 1057)(410, 1058)(411, 1059)(412, 1060)(413, 1061)(414, 1062)(415, 1063)(416, 1064)(417, 1065)(418, 1066)(419, 1067)(420, 1068)(421, 1069)(422, 1070)(423, 1071)(424, 1072)(425, 1073)(426, 1074)(427, 1075)(428, 1076)(429, 1077)(430, 1078)(431, 1079)(432, 1080)(433, 1081)(434, 1082)(435, 1083)(436, 1084)(437, 1085)(438, 1086)(439, 1087)(440, 1088)(441, 1089)(442, 1090)(443, 1091)(444, 1092)(445, 1093)(446, 1094)(447, 1095)(448, 1096)(449, 1097)(450, 1098)(451, 1099)(452, 1100)(453, 1101)(454, 1102)(455, 1103)(456, 1104)(457, 1105)(458, 1106)(459, 1107)(460, 1108)(461, 1109)(462, 1110)(463, 1111)(464, 1112)(465, 1113)(466, 1114)(467, 1115)(468, 1116)(469, 1117)(470, 1118)(471, 1119)(472, 1120)(473, 1121)(474, 1122)(475, 1123)(476, 1124)(477, 1125)(478, 1126)(479, 1127)(480, 1128)(481, 1129)(482, 1130)(483, 1131)(484, 1132)(485, 1133)(486, 1134)(487, 1135)(488, 1136)(489, 1137)(490, 1138)(491, 1139)(492, 1140)(493, 1141)(494, 1142)(495, 1143)(496, 1144)(497, 1145)(498, 1146)(499, 1147)(500, 1148)(501, 1149)(502, 1150)(503, 1151)(504, 1152)(505, 1153)(506, 1154)(507, 1155)(508, 1156)(509, 1157)(510, 1158)(511, 1159)(512, 1160)(513, 1161)(514, 1162)(515, 1163)(516, 1164)(517, 1165)(518, 1166)(519, 1167)(520, 1168)(521, 1169)(522, 1170)(523, 1171)(524, 1172)(525, 1173)(526, 1174)(527, 1175)(528, 1176)(529, 1177)(530, 1178)(531, 1179)(532, 1180)(533, 1181)(534, 1182)(535, 1183)(536, 1184)(537, 1185)(538, 1186)(539, 1187)(540, 1188)(541, 1189)(542, 1190)(543, 1191)(544, 1192)(545, 1193)(546, 1194)(547, 1195)(548, 1196)(549, 1197)(550, 1198)(551, 1199)(552, 1200)(553, 1201)(554, 1202)(555, 1203)(556, 1204)(557, 1205)(558, 1206)(559, 1207)(560, 1208)(561, 1209)(562, 1210)(563, 1211)(564, 1212)(565, 1213)(566, 1214)(567, 1215)(568, 1216)(569, 1217)(570, 1218)(571, 1219)(572, 1220)(573, 1221)(574, 1222)(575, 1223)(576, 1224)(577, 1225)(578, 1226)(579, 1227)(580, 1228)(581, 1229)(582, 1230)(583, 1231)(584, 1232)(585, 1233)(586, 1234)(587, 1235)(588, 1236)(589, 1237)(590, 1238)(591, 1239)(592, 1240)(593, 1241)(594, 1242)(595, 1243)(596, 1244)(597, 1245)(598, 1246)(599, 1247)(600, 1248)(601, 1249)(602, 1250)(603, 1251)(604, 1252)(605, 1253)(606, 1254)(607, 1255)(608, 1256)(609, 1257)(610, 1258)(611, 1259)(612, 1260)(613, 1261)(614, 1262)(615, 1263)(616, 1264)(617, 1265)(618, 1266)(619, 1267)(620, 1268)(621, 1269)(622, 1270)(623, 1271)(624, 1272)(625, 1273)(626, 1274)(627, 1275)(628, 1276)(629, 1277)(630, 1278)(631, 1279)(632, 1280)(633, 1281)(634, 1282)(635, 1283)(636, 1284)(637, 1285)(638, 1286)(639, 1287)(640, 1288)(641, 1289)(642, 1290)(643, 1291)(644, 1292)(645, 1293)(646, 1294)(647, 1295)(648, 1296)
	local type(s) :: { ( 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.3195
Graph:: simple bipartite
	v = 324 e = 648 f = 270
	degree seq :: [ 4^324 ]

E28.3192 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
Aut   = $<648, 301>$ (small group id <648, 301>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (Y2 * Y3)^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y1 * Y3)^3, Y1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y3, (Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 325, 2, 326)(3, 327, 7, 331)(4, 328, 9, 333)(5, 329, 10, 334)(6, 330, 12, 336)(8, 332, 15, 339)(11, 335, 19, 343)(13, 337, 21, 345)(14, 338, 23, 347)(16, 340, 25, 349)(17, 341, 26, 350)(18, 342, 28, 352)(20, 344, 30, 354)(22, 346, 33, 357)(24, 348, 35, 359)(27, 351, 40, 364)(29, 353, 42, 366)(31, 355, 45, 369)(32, 356, 47, 371)(34, 358, 49, 373)(36, 360, 52, 376)(37, 361, 44, 368)(38, 362, 54, 378)(39, 363, 56, 380)(41, 365, 58, 382)(43, 367, 61, 385)(46, 370, 65, 389)(48, 372, 67, 391)(50, 374, 70, 394)(51, 375, 69, 393)(53, 377, 74, 398)(55, 379, 77, 401)(57, 381, 79, 403)(59, 383, 82, 406)(60, 384, 81, 405)(62, 386, 86, 410)(63, 387, 87, 411)(64, 388, 89, 413)(66, 390, 91, 415)(68, 392, 94, 418)(71, 395, 98, 422)(72, 396, 99, 423)(73, 397, 101, 425)(75, 399, 103, 427)(76, 400, 105, 429)(78, 402, 107, 431)(80, 404, 110, 434)(83, 407, 114, 438)(84, 408, 115, 439)(85, 409, 117, 441)(88, 412, 121, 445)(90, 414, 123, 447)(92, 416, 124, 448)(93, 417, 118, 442)(95, 419, 111, 435)(96, 420, 127, 451)(97, 421, 129, 453)(100, 424, 133, 457)(102, 426, 109, 433)(104, 428, 136, 460)(106, 430, 138, 462)(108, 432, 139, 463)(112, 436, 142, 466)(113, 437, 144, 468)(116, 440, 148, 472)(119, 443, 149, 473)(120, 444, 151, 475)(122, 446, 153, 477)(125, 449, 158, 482)(126, 450, 159, 483)(128, 452, 162, 486)(130, 454, 155, 479)(131, 455, 163, 487)(132, 456, 165, 489)(134, 458, 167, 491)(135, 459, 169, 493)(137, 461, 171, 495)(140, 464, 176, 500)(141, 465, 177, 501)(143, 467, 180, 504)(145, 469, 173, 497)(146, 470, 181, 505)(147, 471, 183, 507)(150, 474, 187, 511)(152, 476, 189, 513)(154, 478, 190, 514)(156, 480, 192, 516)(157, 481, 194, 518)(160, 484, 198, 522)(161, 485, 200, 524)(164, 488, 204, 528)(166, 490, 206, 530)(168, 492, 209, 533)(170, 494, 211, 535)(172, 496, 212, 536)(174, 498, 214, 538)(175, 499, 216, 540)(178, 502, 220, 544)(179, 503, 222, 546)(182, 506, 226, 550)(184, 508, 228, 552)(185, 509, 229, 553)(186, 510, 231, 555)(188, 512, 233, 557)(191, 515, 238, 562)(193, 517, 241, 565)(195, 519, 235, 559)(196, 520, 242, 566)(197, 521, 219, 543)(199, 523, 246, 570)(201, 525, 248, 572)(202, 526, 249, 573)(203, 527, 251, 575)(205, 529, 227, 551)(207, 531, 254, 578)(208, 532, 256, 580)(210, 534, 258, 582)(213, 537, 263, 587)(215, 539, 266, 590)(217, 541, 260, 584)(218, 542, 267, 591)(221, 545, 271, 595)(223, 547, 273, 597)(224, 548, 274, 598)(225, 549, 276, 600)(230, 554, 269, 593)(232, 556, 264, 588)(234, 558, 261, 585)(236, 560, 259, 583)(237, 561, 284, 608)(239, 563, 257, 581)(240, 564, 277, 601)(243, 567, 272, 596)(244, 568, 255, 579)(245, 569, 289, 613)(247, 571, 268, 592)(250, 574, 292, 616)(252, 576, 265, 589)(253, 577, 293, 617)(262, 586, 299, 623)(270, 594, 304, 628)(275, 599, 307, 631)(278, 602, 308, 632)(279, 603, 309, 633)(280, 604, 303, 627)(281, 605, 310, 634)(282, 606, 305, 629)(283, 607, 311, 635)(285, 609, 301, 625)(286, 610, 300, 624)(287, 611, 312, 636)(288, 612, 295, 619)(290, 614, 297, 621)(291, 615, 313, 637)(294, 618, 315, 639)(296, 620, 316, 640)(298, 622, 317, 641)(302, 626, 318, 642)(306, 630, 319, 643)(314, 638, 320, 644)(321, 645, 324, 648)(322, 646, 323, 647)(649, 973, 651, 975)(650, 974, 653, 977)(652, 976, 656, 980)(654, 978, 659, 983)(655, 979, 661, 985)(657, 981, 664, 988)(658, 982, 665, 989)(660, 984, 668, 992)(662, 986, 670, 994)(663, 987, 672, 996)(666, 990, 675, 999)(667, 991, 677, 1001)(669, 993, 679, 1003)(671, 995, 682, 1006)(673, 997, 684, 1008)(674, 998, 686, 1010)(676, 1000, 689, 1013)(678, 1002, 691, 1015)(680, 1004, 694, 1018)(681, 1005, 696, 1020)(683, 1007, 698, 1022)(685, 1009, 701, 1025)(687, 1011, 703, 1027)(688, 1012, 705, 1029)(690, 1014, 707, 1031)(692, 1016, 710, 1034)(693, 1017, 711, 1035)(695, 1019, 714, 1038)(697, 1021, 716, 1040)(699, 1023, 719, 1043)(700, 1024, 720, 1044)(702, 1026, 723, 1047)(704, 1028, 726, 1050)(706, 1030, 728, 1052)(708, 1032, 731, 1055)(709, 1033, 732, 1056)(712, 1036, 736, 1060)(713, 1037, 738, 1062)(715, 1039, 740, 1064)(717, 1041, 743, 1067)(718, 1042, 744, 1068)(721, 1045, 748, 1072)(722, 1046, 750, 1074)(724, 1048, 752, 1076)(725, 1049, 754, 1078)(727, 1051, 756, 1080)(729, 1053, 759, 1083)(730, 1054, 760, 1084)(733, 1057, 764, 1088)(734, 1058, 766, 1090)(735, 1059, 767, 1091)(737, 1061, 770, 1094)(739, 1063, 765, 1089)(741, 1065, 773, 1097)(742, 1066, 774, 1098)(745, 1069, 776, 1100)(746, 1070, 778, 1102)(747, 1071, 779, 1103)(749, 1073, 755, 1079)(751, 1075, 782, 1106)(753, 1077, 785, 1109)(757, 1081, 788, 1112)(758, 1082, 789, 1113)(761, 1085, 791, 1115)(762, 1086, 793, 1117)(763, 1087, 794, 1118)(768, 1092, 798, 1122)(769, 1093, 800, 1124)(771, 1095, 802, 1126)(772, 1096, 804, 1128)(775, 1099, 808, 1132)(777, 1101, 801, 1125)(780, 1104, 812, 1136)(781, 1105, 814, 1138)(783, 1107, 816, 1140)(784, 1108, 818, 1142)(786, 1110, 820, 1144)(787, 1111, 822, 1146)(790, 1114, 826, 1150)(792, 1116, 819, 1143)(795, 1119, 830, 1154)(796, 1120, 832, 1156)(797, 1121, 833, 1157)(799, 1123, 836, 1160)(803, 1127, 839, 1163)(805, 1129, 841, 1165)(806, 1130, 843, 1167)(807, 1131, 844, 1168)(809, 1133, 847, 1171)(810, 1134, 849, 1173)(811, 1135, 850, 1174)(813, 1137, 853, 1177)(815, 1139, 855, 1179)(817, 1141, 858, 1182)(821, 1145, 861, 1185)(823, 1147, 863, 1187)(824, 1148, 865, 1189)(825, 1149, 866, 1190)(827, 1151, 869, 1193)(828, 1152, 871, 1195)(829, 1153, 872, 1196)(831, 1155, 875, 1199)(834, 1158, 878, 1202)(835, 1159, 880, 1204)(837, 1161, 882, 1206)(838, 1162, 884, 1208)(840, 1164, 887, 1211)(842, 1166, 881, 1205)(845, 1169, 891, 1215)(846, 1170, 892, 1216)(848, 1172, 895, 1219)(851, 1175, 898, 1222)(852, 1176, 900, 1224)(854, 1178, 901, 1225)(856, 1180, 903, 1227)(857, 1181, 905, 1229)(859, 1183, 907, 1231)(860, 1184, 909, 1233)(862, 1186, 912, 1236)(864, 1188, 906, 1230)(867, 1191, 916, 1240)(868, 1192, 917, 1241)(870, 1194, 920, 1244)(873, 1197, 923, 1247)(874, 1198, 925, 1249)(876, 1200, 926, 1250)(877, 1201, 927, 1251)(879, 1203, 929, 1253)(883, 1207, 930, 1254)(885, 1209, 931, 1255)(886, 1210, 933, 1257)(888, 1212, 934, 1258)(889, 1213, 924, 1248)(890, 1214, 935, 1259)(893, 1217, 936, 1260)(894, 1218, 938, 1262)(896, 1220, 939, 1263)(897, 1221, 928, 1252)(899, 1223, 914, 1238)(902, 1226, 942, 1266)(904, 1228, 944, 1268)(908, 1232, 945, 1269)(910, 1234, 946, 1270)(911, 1235, 948, 1272)(913, 1237, 949, 1273)(915, 1239, 950, 1274)(918, 1242, 951, 1275)(919, 1243, 953, 1277)(921, 1245, 954, 1278)(922, 1246, 943, 1267)(932, 1256, 958, 1282)(937, 1261, 959, 1283)(940, 1264, 960, 1284)(941, 1265, 961, 1285)(947, 1271, 964, 1288)(952, 1276, 965, 1289)(955, 1279, 966, 1290)(956, 1280, 967, 1291)(957, 1281, 969, 1293)(962, 1286, 970, 1294)(963, 1287, 971, 1295)(968, 1292, 972, 1296)
	L = (1, 652)(2, 654)(3, 656)(4, 649)(5, 659)(6, 650)(7, 662)(8, 651)(9, 660)(10, 666)(11, 653)(12, 657)(13, 670)(14, 655)(15, 671)(16, 668)(17, 675)(18, 658)(19, 676)(20, 664)(21, 680)(22, 661)(23, 663)(24, 682)(25, 685)(26, 687)(27, 665)(28, 667)(29, 689)(30, 692)(31, 694)(32, 669)(33, 695)(34, 672)(35, 699)(36, 701)(37, 673)(38, 703)(39, 674)(40, 704)(41, 677)(42, 708)(43, 710)(44, 678)(45, 712)(46, 679)(47, 681)(48, 714)(49, 717)(50, 719)(51, 683)(52, 721)(53, 684)(54, 724)(55, 686)(56, 688)(57, 726)(58, 729)(59, 731)(60, 690)(61, 733)(62, 691)(63, 736)(64, 693)(65, 737)(66, 696)(67, 741)(68, 743)(69, 697)(70, 745)(71, 698)(72, 748)(73, 700)(74, 749)(75, 752)(76, 702)(77, 753)(78, 705)(79, 757)(80, 759)(81, 706)(82, 761)(83, 707)(84, 764)(85, 709)(86, 765)(87, 768)(88, 711)(89, 713)(90, 770)(91, 766)(92, 773)(93, 715)(94, 758)(95, 716)(96, 776)(97, 718)(98, 777)(99, 780)(100, 720)(101, 722)(102, 755)(103, 783)(104, 723)(105, 725)(106, 785)(107, 750)(108, 788)(109, 727)(110, 742)(111, 728)(112, 791)(113, 730)(114, 792)(115, 795)(116, 732)(117, 734)(118, 739)(119, 798)(120, 735)(121, 799)(122, 738)(123, 803)(124, 805)(125, 740)(126, 789)(127, 809)(128, 744)(129, 746)(130, 801)(131, 812)(132, 747)(133, 813)(134, 816)(135, 751)(136, 817)(137, 754)(138, 821)(139, 823)(140, 756)(141, 774)(142, 827)(143, 760)(144, 762)(145, 819)(146, 830)(147, 763)(148, 831)(149, 834)(150, 767)(151, 769)(152, 836)(153, 778)(154, 839)(155, 771)(156, 841)(157, 772)(158, 842)(159, 845)(160, 847)(161, 775)(162, 848)(163, 851)(164, 779)(165, 781)(166, 853)(167, 856)(168, 782)(169, 784)(170, 858)(171, 793)(172, 861)(173, 786)(174, 863)(175, 787)(176, 864)(177, 867)(178, 869)(179, 790)(180, 870)(181, 873)(182, 794)(183, 796)(184, 875)(185, 878)(186, 797)(187, 879)(188, 800)(189, 883)(190, 885)(191, 802)(192, 888)(193, 804)(194, 806)(195, 881)(196, 891)(197, 807)(198, 893)(199, 808)(200, 810)(201, 895)(202, 898)(203, 811)(204, 899)(205, 814)(206, 876)(207, 903)(208, 815)(209, 904)(210, 818)(211, 908)(212, 910)(213, 820)(214, 913)(215, 822)(216, 824)(217, 906)(218, 916)(219, 825)(220, 918)(221, 826)(222, 828)(223, 920)(224, 923)(225, 829)(226, 924)(227, 832)(228, 854)(229, 928)(230, 833)(231, 835)(232, 929)(233, 843)(234, 930)(235, 837)(236, 931)(237, 838)(238, 932)(239, 934)(240, 840)(241, 925)(242, 921)(243, 844)(244, 936)(245, 846)(246, 937)(247, 849)(248, 915)(249, 927)(250, 850)(251, 852)(252, 914)(253, 926)(254, 943)(255, 855)(256, 857)(257, 944)(258, 865)(259, 945)(260, 859)(261, 946)(262, 860)(263, 947)(264, 949)(265, 862)(266, 900)(267, 896)(268, 866)(269, 951)(270, 868)(271, 952)(272, 871)(273, 890)(274, 942)(275, 872)(276, 874)(277, 889)(278, 901)(279, 897)(280, 877)(281, 880)(282, 882)(283, 884)(284, 886)(285, 958)(286, 887)(287, 954)(288, 892)(289, 894)(290, 959)(291, 950)(292, 957)(293, 962)(294, 922)(295, 902)(296, 905)(297, 907)(298, 909)(299, 911)(300, 964)(301, 912)(302, 939)(303, 917)(304, 919)(305, 965)(306, 935)(307, 963)(308, 968)(309, 940)(310, 933)(311, 938)(312, 969)(313, 970)(314, 941)(315, 955)(316, 948)(317, 953)(318, 971)(319, 972)(320, 956)(321, 960)(322, 961)(323, 966)(324, 967)(325, 973)(326, 974)(327, 975)(328, 976)(329, 977)(330, 978)(331, 979)(332, 980)(333, 981)(334, 982)(335, 983)(336, 984)(337, 985)(338, 986)(339, 987)(340, 988)(341, 989)(342, 990)(343, 991)(344, 992)(345, 993)(346, 994)(347, 995)(348, 996)(349, 997)(350, 998)(351, 999)(352, 1000)(353, 1001)(354, 1002)(355, 1003)(356, 1004)(357, 1005)(358, 1006)(359, 1007)(360, 1008)(361, 1009)(362, 1010)(363, 1011)(364, 1012)(365, 1013)(366, 1014)(367, 1015)(368, 1016)(369, 1017)(370, 1018)(371, 1019)(372, 1020)(373, 1021)(374, 1022)(375, 1023)(376, 1024)(377, 1025)(378, 1026)(379, 1027)(380, 1028)(381, 1029)(382, 1030)(383, 1031)(384, 1032)(385, 1033)(386, 1034)(387, 1035)(388, 1036)(389, 1037)(390, 1038)(391, 1039)(392, 1040)(393, 1041)(394, 1042)(395, 1043)(396, 1044)(397, 1045)(398, 1046)(399, 1047)(400, 1048)(401, 1049)(402, 1050)(403, 1051)(404, 1052)(405, 1053)(406, 1054)(407, 1055)(408, 1056)(409, 1057)(410, 1058)(411, 1059)(412, 1060)(413, 1061)(414, 1062)(415, 1063)(416, 1064)(417, 1065)(418, 1066)(419, 1067)(420, 1068)(421, 1069)(422, 1070)(423, 1071)(424, 1072)(425, 1073)(426, 1074)(427, 1075)(428, 1076)(429, 1077)(430, 1078)(431, 1079)(432, 1080)(433, 1081)(434, 1082)(435, 1083)(436, 1084)(437, 1085)(438, 1086)(439, 1087)(440, 1088)(441, 1089)(442, 1090)(443, 1091)(444, 1092)(445, 1093)(446, 1094)(447, 1095)(448, 1096)(449, 1097)(450, 1098)(451, 1099)(452, 1100)(453, 1101)(454, 1102)(455, 1103)(456, 1104)(457, 1105)(458, 1106)(459, 1107)(460, 1108)(461, 1109)(462, 1110)(463, 1111)(464, 1112)(465, 1113)(466, 1114)(467, 1115)(468, 1116)(469, 1117)(470, 1118)(471, 1119)(472, 1120)(473, 1121)(474, 1122)(475, 1123)(476, 1124)(477, 1125)(478, 1126)(479, 1127)(480, 1128)(481, 1129)(482, 1130)(483, 1131)(484, 1132)(485, 1133)(486, 1134)(487, 1135)(488, 1136)(489, 1137)(490, 1138)(491, 1139)(492, 1140)(493, 1141)(494, 1142)(495, 1143)(496, 1144)(497, 1145)(498, 1146)(499, 1147)(500, 1148)(501, 1149)(502, 1150)(503, 1151)(504, 1152)(505, 1153)(506, 1154)(507, 1155)(508, 1156)(509, 1157)(510, 1158)(511, 1159)(512, 1160)(513, 1161)(514, 1162)(515, 1163)(516, 1164)(517, 1165)(518, 1166)(519, 1167)(520, 1168)(521, 1169)(522, 1170)(523, 1171)(524, 1172)(525, 1173)(526, 1174)(527, 1175)(528, 1176)(529, 1177)(530, 1178)(531, 1179)(532, 1180)(533, 1181)(534, 1182)(535, 1183)(536, 1184)(537, 1185)(538, 1186)(539, 1187)(540, 1188)(541, 1189)(542, 1190)(543, 1191)(544, 1192)(545, 1193)(546, 1194)(547, 1195)(548, 1196)(549, 1197)(550, 1198)(551, 1199)(552, 1200)(553, 1201)(554, 1202)(555, 1203)(556, 1204)(557, 1205)(558, 1206)(559, 1207)(560, 1208)(561, 1209)(562, 1210)(563, 1211)(564, 1212)(565, 1213)(566, 1214)(567, 1215)(568, 1216)(569, 1217)(570, 1218)(571, 1219)(572, 1220)(573, 1221)(574, 1222)(575, 1223)(576, 1224)(577, 1225)(578, 1226)(579, 1227)(580, 1228)(581, 1229)(582, 1230)(583, 1231)(584, 1232)(585, 1233)(586, 1234)(587, 1235)(588, 1236)(589, 1237)(590, 1238)(591, 1239)(592, 1240)(593, 1241)(594, 1242)(595, 1243)(596, 1244)(597, 1245)(598, 1246)(599, 1247)(600, 1248)(601, 1249)(602, 1250)(603, 1251)(604, 1252)(605, 1253)(606, 1254)(607, 1255)(608, 1256)(609, 1257)(610, 1258)(611, 1259)(612, 1260)(613, 1261)(614, 1262)(615, 1263)(616, 1264)(617, 1265)(618, 1266)(619, 1267)(620, 1268)(621, 1269)(622, 1270)(623, 1271)(624, 1272)(625, 1273)(626, 1274)(627, 1275)(628, 1276)(629, 1277)(630, 1278)(631, 1279)(632, 1280)(633, 1281)(634, 1282)(635, 1283)(636, 1284)(637, 1285)(638, 1286)(639, 1287)(640, 1288)(641, 1289)(642, 1290)(643, 1291)(644, 1292)(645, 1293)(646, 1294)(647, 1295)(648, 1296)
	local type(s) :: { ( 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.3193
Graph:: simple bipartite
	v = 324 e = 648 f = 270
	degree seq :: [ 4^324 ]

E28.3193 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
Aut   = $<648, 301>$ (small group id <648, 301>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^3, (R * Y2)^2, (Y3 * Y2)^2, (Y3 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y2 * Y1 * Y2 * Y1^-1)^3, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 325, 2, 326, 5, 329)(3, 327, 8, 332, 10, 334)(4, 328, 11, 335, 7, 331)(6, 330, 13, 337, 15, 339)(9, 333, 18, 342, 17, 341)(12, 336, 21, 345, 22, 346)(14, 338, 25, 349, 24, 348)(16, 340, 27, 351, 29, 353)(19, 343, 31, 355, 32, 356)(20, 344, 33, 357, 34, 358)(23, 347, 37, 361, 39, 363)(26, 350, 41, 365, 42, 366)(28, 352, 45, 369, 44, 368)(30, 354, 47, 371, 48, 372)(35, 359, 53, 377, 54, 378)(36, 360, 55, 379, 56, 380)(38, 362, 59, 383, 58, 382)(40, 364, 61, 385, 62, 386)(43, 367, 65, 389, 67, 391)(46, 370, 63, 387, 69, 393)(49, 373, 72, 396, 73, 397)(50, 374, 74, 398, 75, 399)(51, 375, 76, 400, 77, 401)(52, 376, 78, 402, 79, 403)(57, 381, 83, 407, 85, 409)(60, 384, 81, 405, 87, 411)(64, 388, 90, 414, 91, 415)(66, 390, 94, 418, 93, 417)(68, 392, 96, 420, 89, 413)(70, 394, 98, 422, 99, 423)(71, 395, 100, 424, 101, 425)(80, 404, 108, 432, 109, 433)(82, 406, 110, 434, 111, 435)(84, 408, 114, 438, 113, 437)(86, 410, 116, 440, 106, 430)(88, 412, 118, 442, 119, 443)(92, 416, 122, 446, 124, 448)(95, 419, 103, 427, 126, 450)(97, 421, 128, 452, 129, 453)(102, 426, 133, 457, 134, 458)(104, 428, 135, 459, 136, 460)(105, 429, 137, 461, 138, 462)(107, 431, 139, 463, 140, 464)(112, 436, 145, 469, 147, 471)(115, 439, 120, 444, 149, 473)(117, 441, 151, 475, 152, 476)(121, 445, 155, 479, 156, 480)(123, 447, 159, 483, 158, 482)(125, 449, 161, 485, 131, 455)(127, 451, 163, 487, 164, 488)(130, 454, 167, 491, 168, 492)(132, 456, 169, 493, 170, 494)(141, 465, 179, 503, 180, 504)(142, 466, 143, 467, 181, 505)(144, 468, 182, 506, 183, 507)(146, 470, 186, 510, 185, 509)(148, 472, 188, 512, 154, 478)(150, 474, 190, 514, 191, 515)(153, 477, 194, 518, 195, 519)(157, 481, 198, 522, 200, 524)(160, 484, 165, 489, 202, 526)(162, 486, 204, 528, 205, 529)(166, 490, 196, 520, 208, 532)(171, 495, 213, 537, 214, 538)(172, 496, 173, 497, 215, 539)(174, 498, 216, 540, 217, 541)(175, 499, 218, 542, 219, 543)(176, 500, 177, 501, 220, 544)(178, 502, 221, 545, 222, 546)(184, 508, 227, 551, 229, 553)(187, 511, 192, 516, 231, 555)(189, 513, 233, 557, 234, 558)(193, 517, 225, 549, 237, 561)(197, 521, 240, 564, 241, 565)(199, 523, 244, 568, 243, 567)(201, 525, 246, 570, 207, 531)(203, 527, 248, 572, 249, 573)(206, 530, 252, 576, 239, 563)(209, 533, 254, 578, 255, 579)(210, 534, 211, 535, 256, 580)(212, 536, 257, 581, 258, 582)(223, 547, 267, 591, 268, 592)(224, 548, 269, 593, 270, 594)(226, 550, 271, 595, 272, 596)(228, 552, 275, 599, 274, 598)(230, 554, 277, 601, 236, 560)(232, 556, 279, 603, 280, 604)(235, 559, 283, 607, 264, 588)(238, 562, 285, 609, 286, 610)(242, 566, 273, 597, 290, 614)(245, 569, 250, 574, 278, 602)(247, 571, 293, 617, 294, 618)(251, 575, 261, 585, 284, 608)(253, 577, 298, 622, 299, 623)(259, 583, 276, 600, 281, 605)(260, 584, 282, 606, 287, 611)(262, 586, 288, 612, 304, 628)(263, 587, 305, 629, 306, 630)(265, 589, 307, 631, 308, 632)(266, 590, 309, 633, 310, 634)(289, 613, 319, 643, 311, 635)(291, 615, 313, 637, 296, 620)(292, 616, 320, 644, 321, 645)(295, 619, 316, 640, 301, 625)(297, 621, 322, 646, 323, 647)(300, 624, 324, 648, 317, 641)(302, 626, 318, 642, 314, 638)(303, 627, 315, 639, 312, 636)(649, 973, 651, 975)(650, 974, 654, 978)(652, 976, 657, 981)(653, 977, 660, 984)(655, 979, 662, 986)(656, 980, 664, 988)(658, 982, 667, 991)(659, 983, 668, 992)(661, 985, 671, 995)(663, 987, 674, 998)(665, 989, 676, 1000)(666, 990, 678, 1002)(669, 993, 683, 1007)(670, 994, 684, 1008)(672, 996, 686, 1010)(673, 997, 688, 1012)(675, 999, 691, 1015)(677, 1001, 694, 1018)(679, 1003, 697, 1021)(680, 1004, 698, 1022)(681, 1005, 699, 1023)(682, 1006, 700, 1024)(685, 1009, 705, 1029)(687, 1011, 708, 1032)(689, 1013, 711, 1035)(690, 1014, 712, 1036)(692, 1016, 714, 1038)(693, 1017, 716, 1040)(695, 1019, 718, 1042)(696, 1020, 719, 1043)(701, 1025, 728, 1052)(702, 1026, 721, 1045)(703, 1027, 729, 1053)(704, 1028, 730, 1054)(706, 1030, 732, 1056)(707, 1031, 734, 1058)(709, 1033, 736, 1060)(710, 1034, 737, 1061)(713, 1037, 740, 1064)(715, 1039, 743, 1067)(717, 1041, 745, 1069)(720, 1044, 750, 1074)(722, 1046, 751, 1075)(723, 1047, 752, 1076)(724, 1048, 753, 1077)(725, 1049, 754, 1078)(726, 1050, 748, 1072)(727, 1051, 755, 1079)(731, 1055, 760, 1084)(733, 1057, 763, 1087)(735, 1059, 765, 1089)(738, 1062, 768, 1092)(739, 1063, 769, 1093)(741, 1065, 771, 1095)(742, 1066, 773, 1097)(744, 1068, 775, 1099)(746, 1070, 778, 1102)(747, 1071, 779, 1103)(749, 1073, 780, 1104)(756, 1080, 789, 1113)(757, 1081, 790, 1114)(758, 1082, 791, 1115)(759, 1083, 792, 1116)(761, 1085, 794, 1118)(762, 1086, 796, 1120)(764, 1088, 798, 1122)(766, 1090, 801, 1125)(767, 1091, 802, 1126)(770, 1094, 805, 1129)(772, 1096, 808, 1132)(774, 1098, 810, 1134)(776, 1100, 813, 1137)(777, 1101, 814, 1138)(781, 1105, 819, 1143)(782, 1106, 820, 1144)(783, 1107, 821, 1145)(784, 1108, 822, 1146)(785, 1109, 823, 1147)(786, 1110, 824, 1148)(787, 1111, 825, 1149)(788, 1112, 826, 1150)(793, 1117, 832, 1156)(795, 1119, 835, 1159)(797, 1121, 837, 1161)(799, 1123, 840, 1164)(800, 1124, 841, 1165)(803, 1127, 844, 1168)(804, 1128, 845, 1169)(806, 1130, 847, 1171)(807, 1131, 849, 1173)(809, 1133, 851, 1175)(811, 1135, 854, 1178)(812, 1136, 855, 1179)(815, 1139, 857, 1181)(816, 1140, 858, 1182)(817, 1141, 859, 1183)(818, 1142, 860, 1184)(827, 1151, 871, 1195)(828, 1152, 862, 1186)(829, 1153, 872, 1196)(830, 1154, 873, 1197)(831, 1155, 874, 1198)(833, 1157, 876, 1200)(834, 1158, 878, 1202)(836, 1160, 880, 1204)(838, 1162, 883, 1207)(839, 1163, 884, 1208)(842, 1166, 886, 1210)(843, 1167, 887, 1211)(846, 1170, 890, 1214)(848, 1172, 893, 1217)(850, 1174, 895, 1219)(852, 1176, 898, 1222)(853, 1177, 899, 1223)(856, 1180, 901, 1225)(861, 1185, 907, 1231)(863, 1187, 908, 1232)(864, 1188, 909, 1233)(865, 1189, 910, 1234)(866, 1190, 911, 1235)(867, 1191, 912, 1236)(868, 1192, 913, 1237)(869, 1193, 905, 1229)(870, 1194, 914, 1238)(875, 1199, 921, 1245)(877, 1201, 924, 1248)(879, 1203, 926, 1250)(881, 1205, 929, 1253)(882, 1206, 930, 1254)(885, 1209, 932, 1256)(888, 1212, 935, 1259)(889, 1213, 936, 1260)(891, 1215, 937, 1261)(892, 1216, 939, 1263)(894, 1218, 940, 1264)(896, 1220, 943, 1267)(897, 1221, 944, 1268)(900, 1224, 945, 1269)(902, 1226, 948, 1272)(903, 1227, 949, 1273)(904, 1228, 950, 1274)(906, 1230, 951, 1275)(915, 1239, 938, 1262)(916, 1240, 941, 1265)(917, 1241, 942, 1266)(918, 1242, 946, 1270)(919, 1243, 947, 1271)(920, 1244, 952, 1276)(922, 1246, 959, 1283)(923, 1247, 960, 1284)(925, 1249, 961, 1285)(927, 1251, 962, 1286)(928, 1252, 963, 1287)(931, 1255, 964, 1288)(933, 1257, 965, 1289)(934, 1258, 966, 1290)(953, 1277, 972, 1296)(954, 1278, 970, 1294)(955, 1279, 971, 1295)(956, 1280, 968, 1292)(957, 1281, 969, 1293)(958, 1282, 967, 1291)
	L = (1, 652)(2, 655)(3, 657)(4, 649)(5, 659)(6, 662)(7, 650)(8, 665)(9, 651)(10, 666)(11, 653)(12, 668)(13, 672)(14, 654)(15, 673)(16, 676)(17, 656)(18, 658)(19, 678)(20, 660)(21, 682)(22, 681)(23, 686)(24, 661)(25, 663)(26, 688)(27, 692)(28, 664)(29, 693)(30, 667)(31, 696)(32, 695)(33, 670)(34, 669)(35, 700)(36, 699)(37, 706)(38, 671)(39, 707)(40, 674)(41, 710)(42, 709)(43, 714)(44, 675)(45, 677)(46, 716)(47, 680)(48, 679)(49, 719)(50, 718)(51, 684)(52, 683)(53, 727)(54, 726)(55, 725)(56, 724)(57, 732)(58, 685)(59, 687)(60, 734)(61, 690)(62, 689)(63, 737)(64, 736)(65, 741)(66, 691)(67, 742)(68, 694)(69, 744)(70, 698)(71, 697)(72, 749)(73, 748)(74, 747)(75, 746)(76, 704)(77, 703)(78, 702)(79, 701)(80, 755)(81, 754)(82, 753)(83, 761)(84, 705)(85, 762)(86, 708)(87, 764)(88, 712)(89, 711)(90, 767)(91, 766)(92, 771)(93, 713)(94, 715)(95, 773)(96, 717)(97, 775)(98, 723)(99, 722)(100, 721)(101, 720)(102, 780)(103, 779)(104, 778)(105, 730)(106, 729)(107, 728)(108, 788)(109, 787)(110, 786)(111, 785)(112, 794)(113, 731)(114, 733)(115, 796)(116, 735)(117, 798)(118, 739)(119, 738)(120, 802)(121, 801)(122, 806)(123, 740)(124, 807)(125, 743)(126, 809)(127, 745)(128, 812)(129, 811)(130, 752)(131, 751)(132, 750)(133, 818)(134, 817)(135, 816)(136, 815)(137, 759)(138, 758)(139, 757)(140, 756)(141, 826)(142, 825)(143, 824)(144, 823)(145, 833)(146, 760)(147, 834)(148, 763)(149, 836)(150, 765)(151, 839)(152, 838)(153, 769)(154, 768)(155, 843)(156, 842)(157, 847)(158, 770)(159, 772)(160, 849)(161, 774)(162, 851)(163, 777)(164, 776)(165, 855)(166, 854)(167, 784)(168, 783)(169, 782)(170, 781)(171, 860)(172, 859)(173, 858)(174, 857)(175, 792)(176, 791)(177, 790)(178, 789)(179, 870)(180, 869)(181, 868)(182, 867)(183, 866)(184, 876)(185, 793)(186, 795)(187, 878)(188, 797)(189, 880)(190, 800)(191, 799)(192, 884)(193, 883)(194, 804)(195, 803)(196, 887)(197, 886)(198, 891)(199, 805)(200, 892)(201, 808)(202, 894)(203, 810)(204, 897)(205, 896)(206, 814)(207, 813)(208, 900)(209, 822)(210, 821)(211, 820)(212, 819)(213, 906)(214, 905)(215, 904)(216, 903)(217, 902)(218, 831)(219, 830)(220, 829)(221, 828)(222, 827)(223, 914)(224, 913)(225, 912)(226, 911)(227, 922)(228, 832)(229, 923)(230, 835)(231, 925)(232, 837)(233, 928)(234, 927)(235, 841)(236, 840)(237, 931)(238, 845)(239, 844)(240, 934)(241, 933)(242, 937)(243, 846)(244, 848)(245, 939)(246, 850)(247, 940)(248, 853)(249, 852)(250, 944)(251, 943)(252, 856)(253, 945)(254, 865)(255, 864)(256, 863)(257, 862)(258, 861)(259, 951)(260, 950)(261, 949)(262, 948)(263, 874)(264, 873)(265, 872)(266, 871)(267, 958)(268, 957)(269, 956)(270, 955)(271, 954)(272, 953)(273, 959)(274, 875)(275, 877)(276, 960)(277, 879)(278, 961)(279, 882)(280, 881)(281, 963)(282, 962)(283, 885)(284, 964)(285, 889)(286, 888)(287, 966)(288, 965)(289, 890)(290, 967)(291, 893)(292, 895)(293, 969)(294, 968)(295, 899)(296, 898)(297, 901)(298, 971)(299, 970)(300, 910)(301, 909)(302, 908)(303, 907)(304, 972)(305, 920)(306, 919)(307, 918)(308, 917)(309, 916)(310, 915)(311, 921)(312, 924)(313, 926)(314, 930)(315, 929)(316, 932)(317, 936)(318, 935)(319, 938)(320, 942)(321, 941)(322, 947)(323, 946)(324, 952)(325, 973)(326, 974)(327, 975)(328, 976)(329, 977)(330, 978)(331, 979)(332, 980)(333, 981)(334, 982)(335, 983)(336, 984)(337, 985)(338, 986)(339, 987)(340, 988)(341, 989)(342, 990)(343, 991)(344, 992)(345, 993)(346, 994)(347, 995)(348, 996)(349, 997)(350, 998)(351, 999)(352, 1000)(353, 1001)(354, 1002)(355, 1003)(356, 1004)(357, 1005)(358, 1006)(359, 1007)(360, 1008)(361, 1009)(362, 1010)(363, 1011)(364, 1012)(365, 1013)(366, 1014)(367, 1015)(368, 1016)(369, 1017)(370, 1018)(371, 1019)(372, 1020)(373, 1021)(374, 1022)(375, 1023)(376, 1024)(377, 1025)(378, 1026)(379, 1027)(380, 1028)(381, 1029)(382, 1030)(383, 1031)(384, 1032)(385, 1033)(386, 1034)(387, 1035)(388, 1036)(389, 1037)(390, 1038)(391, 1039)(392, 1040)(393, 1041)(394, 1042)(395, 1043)(396, 1044)(397, 1045)(398, 1046)(399, 1047)(400, 1048)(401, 1049)(402, 1050)(403, 1051)(404, 1052)(405, 1053)(406, 1054)(407, 1055)(408, 1056)(409, 1057)(410, 1058)(411, 1059)(412, 1060)(413, 1061)(414, 1062)(415, 1063)(416, 1064)(417, 1065)(418, 1066)(419, 1067)(420, 1068)(421, 1069)(422, 1070)(423, 1071)(424, 1072)(425, 1073)(426, 1074)(427, 1075)(428, 1076)(429, 1077)(430, 1078)(431, 1079)(432, 1080)(433, 1081)(434, 1082)(435, 1083)(436, 1084)(437, 1085)(438, 1086)(439, 1087)(440, 1088)(441, 1089)(442, 1090)(443, 1091)(444, 1092)(445, 1093)(446, 1094)(447, 1095)(448, 1096)(449, 1097)(450, 1098)(451, 1099)(452, 1100)(453, 1101)(454, 1102)(455, 1103)(456, 1104)(457, 1105)(458, 1106)(459, 1107)(460, 1108)(461, 1109)(462, 1110)(463, 1111)(464, 1112)(465, 1113)(466, 1114)(467, 1115)(468, 1116)(469, 1117)(470, 1118)(471, 1119)(472, 1120)(473, 1121)(474, 1122)(475, 1123)(476, 1124)(477, 1125)(478, 1126)(479, 1127)(480, 1128)(481, 1129)(482, 1130)(483, 1131)(484, 1132)(485, 1133)(486, 1134)(487, 1135)(488, 1136)(489, 1137)(490, 1138)(491, 1139)(492, 1140)(493, 1141)(494, 1142)(495, 1143)(496, 1144)(497, 1145)(498, 1146)(499, 1147)(500, 1148)(501, 1149)(502, 1150)(503, 1151)(504, 1152)(505, 1153)(506, 1154)(507, 1155)(508, 1156)(509, 1157)(510, 1158)(511, 1159)(512, 1160)(513, 1161)(514, 1162)(515, 1163)(516, 1164)(517, 1165)(518, 1166)(519, 1167)(520, 1168)(521, 1169)(522, 1170)(523, 1171)(524, 1172)(525, 1173)(526, 1174)(527, 1175)(528, 1176)(529, 1177)(530, 1178)(531, 1179)(532, 1180)(533, 1181)(534, 1182)(535, 1183)(536, 1184)(537, 1185)(538, 1186)(539, 1187)(540, 1188)(541, 1189)(542, 1190)(543, 1191)(544, 1192)(545, 1193)(546, 1194)(547, 1195)(548, 1196)(549, 1197)(550, 1198)(551, 1199)(552, 1200)(553, 1201)(554, 1202)(555, 1203)(556, 1204)(557, 1205)(558, 1206)(559, 1207)(560, 1208)(561, 1209)(562, 1210)(563, 1211)(564, 1212)(565, 1213)(566, 1214)(567, 1215)(568, 1216)(569, 1217)(570, 1218)(571, 1219)(572, 1220)(573, 1221)(574, 1222)(575, 1223)(576, 1224)(577, 1225)(578, 1226)(579, 1227)(580, 1228)(581, 1229)(582, 1230)(583, 1231)(584, 1232)(585, 1233)(586, 1234)(587, 1235)(588, 1236)(589, 1237)(590, 1238)(591, 1239)(592, 1240)(593, 1241)(594, 1242)(595, 1243)(596, 1244)(597, 1245)(598, 1246)(599, 1247)(600, 1248)(601, 1249)(602, 1250)(603, 1251)(604, 1252)(605, 1253)(606, 1254)(607, 1255)(608, 1256)(609, 1257)(610, 1258)(611, 1259)(612, 1260)(613, 1261)(614, 1262)(615, 1263)(616, 1264)(617, 1265)(618, 1266)(619, 1267)(620, 1268)(621, 1269)(622, 1270)(623, 1271)(624, 1272)(625, 1273)(626, 1274)(627, 1275)(628, 1276)(629, 1277)(630, 1278)(631, 1279)(632, 1280)(633, 1281)(634, 1282)(635, 1283)(636, 1284)(637, 1285)(638, 1286)(639, 1287)(640, 1288)(641, 1289)(642, 1290)(643, 1291)(644, 1292)(645, 1293)(646, 1294)(647, 1295)(648, 1296)
	local type(s) :: { ( 4^4 ), ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E28.3192
Graph:: simple bipartite
	v = 270 e = 648 f = 324
	degree seq :: [ 4^162, 6^108 ]

E28.3194 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
Aut   = $<648, 301>$ (small group id <648, 301>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^3, (R * Y2)^2, (Y3 * Y2)^2, (Y3 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y2 * Y1^-1)^6, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 325, 2, 326, 5, 329)(3, 327, 8, 332, 10, 334)(4, 328, 11, 335, 7, 331)(6, 330, 13, 337, 15, 339)(9, 333, 18, 342, 17, 341)(12, 336, 21, 345, 22, 346)(14, 338, 25, 349, 24, 348)(16, 340, 27, 351, 29, 353)(19, 343, 31, 355, 32, 356)(20, 344, 33, 357, 34, 358)(23, 347, 37, 361, 39, 363)(26, 350, 41, 365, 42, 366)(28, 352, 45, 369, 44, 368)(30, 354, 47, 371, 48, 372)(35, 359, 53, 377, 54, 378)(36, 360, 55, 379, 56, 380)(38, 362, 59, 383, 58, 382)(40, 364, 61, 385, 62, 386)(43, 367, 65, 389, 67, 391)(46, 370, 69, 393, 70, 394)(49, 373, 73, 397, 74, 398)(50, 374, 75, 399, 57, 381)(51, 375, 76, 400, 77, 401)(52, 376, 78, 402, 79, 403)(60, 384, 85, 409, 86, 410)(63, 387, 89, 413, 90, 414)(64, 388, 91, 415, 80, 404)(66, 390, 93, 417, 92, 416)(68, 392, 95, 419, 96, 420)(71, 395, 83, 407, 99, 423)(72, 396, 100, 424, 101, 425)(81, 405, 108, 432, 109, 433)(82, 406, 110, 434, 111, 435)(84, 408, 112, 436, 113, 437)(87, 411, 107, 431, 116, 440)(88, 412, 117, 441, 118, 442)(94, 418, 123, 447, 124, 448)(97, 421, 127, 451, 128, 452)(98, 422, 129, 453, 102, 426)(103, 427, 133, 457, 134, 458)(104, 428, 135, 459, 136, 460)(105, 429, 137, 461, 138, 462)(106, 430, 139, 463, 140, 464)(114, 438, 147, 471, 148, 472)(115, 439, 149, 473, 119, 443)(120, 444, 153, 477, 154, 478)(121, 445, 155, 479, 156, 480)(122, 446, 157, 481, 158, 482)(125, 449, 132, 456, 161, 485)(126, 450, 162, 486, 163, 487)(130, 454, 167, 491, 168, 492)(131, 455, 169, 493, 170, 494)(141, 465, 179, 503, 180, 504)(142, 466, 181, 505, 143, 467)(144, 468, 182, 506, 183, 507)(145, 469, 152, 476, 184, 508)(146, 470, 185, 509, 186, 510)(150, 474, 190, 514, 191, 515)(151, 475, 192, 516, 193, 517)(159, 483, 200, 524, 201, 525)(160, 484, 202, 526, 164, 488)(165, 489, 206, 530, 207, 531)(166, 490, 208, 532, 209, 533)(171, 495, 214, 538, 215, 539)(172, 496, 216, 540, 173, 497)(174, 498, 217, 541, 187, 511)(175, 499, 218, 542, 219, 543)(176, 500, 220, 544, 177, 501)(178, 502, 221, 545, 222, 546)(188, 512, 230, 554, 231, 555)(189, 513, 232, 556, 233, 557)(194, 518, 238, 562, 239, 563)(195, 519, 240, 564, 196, 520)(197, 521, 241, 565, 223, 547)(198, 522, 205, 529, 242, 566)(199, 523, 243, 567, 244, 568)(203, 527, 247, 571, 248, 572)(204, 528, 249, 573, 250, 574)(210, 534, 229, 553, 255, 579)(211, 535, 256, 580, 212, 536)(213, 537, 257, 581, 258, 582)(224, 548, 267, 591, 268, 592)(225, 549, 269, 593, 270, 594)(226, 550, 271, 595, 272, 596)(227, 551, 273, 597, 274, 598)(228, 552, 275, 599, 276, 600)(234, 558, 266, 590, 281, 605)(235, 559, 282, 606, 236, 560)(237, 561, 283, 607, 284, 608)(245, 569, 285, 609, 280, 604)(246, 570, 279, 603, 278, 602)(251, 575, 277, 601, 295, 619)(252, 576, 288, 612, 253, 577)(254, 578, 287, 611, 259, 583)(260, 584, 286, 610, 300, 624)(261, 585, 301, 625, 302, 626)(262, 586, 303, 627, 304, 628)(263, 587, 305, 629, 306, 630)(264, 588, 307, 631, 308, 632)(265, 589, 309, 633, 310, 634)(289, 613, 313, 637, 312, 636)(290, 614, 311, 635, 318, 642)(291, 615, 299, 623, 316, 640)(292, 616, 315, 639, 293, 617)(294, 618, 319, 643, 314, 638)(296, 620, 320, 644, 321, 645)(297, 621, 322, 646, 323, 647)(298, 622, 324, 648, 317, 641)(649, 973, 651, 975)(650, 974, 654, 978)(652, 976, 657, 981)(653, 977, 660, 984)(655, 979, 662, 986)(656, 980, 664, 988)(658, 982, 667, 991)(659, 983, 668, 992)(661, 985, 671, 995)(663, 987, 674, 998)(665, 989, 676, 1000)(666, 990, 678, 1002)(669, 993, 683, 1007)(670, 994, 684, 1008)(672, 996, 686, 1010)(673, 997, 688, 1012)(675, 999, 691, 1015)(677, 1001, 694, 1018)(679, 1003, 697, 1021)(680, 1004, 698, 1022)(681, 1005, 699, 1023)(682, 1006, 700, 1024)(685, 1009, 705, 1029)(687, 1011, 708, 1032)(689, 1013, 711, 1035)(690, 1014, 712, 1036)(692, 1016, 714, 1038)(693, 1017, 716, 1040)(695, 1019, 719, 1043)(696, 1020, 720, 1044)(701, 1025, 728, 1052)(702, 1026, 729, 1053)(703, 1027, 730, 1054)(704, 1028, 713, 1037)(706, 1030, 731, 1055)(707, 1031, 732, 1056)(709, 1033, 735, 1059)(710, 1034, 736, 1060)(715, 1039, 742, 1066)(717, 1041, 745, 1069)(718, 1042, 746, 1070)(721, 1045, 750, 1074)(722, 1046, 751, 1075)(723, 1047, 752, 1076)(724, 1048, 740, 1064)(725, 1049, 753, 1077)(726, 1050, 754, 1078)(727, 1051, 755, 1079)(733, 1057, 762, 1086)(734, 1058, 763, 1087)(737, 1061, 767, 1091)(738, 1062, 768, 1092)(739, 1063, 769, 1093)(741, 1065, 770, 1094)(743, 1067, 773, 1097)(744, 1068, 774, 1098)(747, 1071, 778, 1102)(748, 1072, 779, 1103)(749, 1073, 780, 1104)(756, 1080, 789, 1113)(757, 1081, 790, 1114)(758, 1082, 791, 1115)(759, 1083, 792, 1116)(760, 1084, 793, 1117)(761, 1085, 794, 1118)(764, 1088, 798, 1122)(765, 1089, 799, 1123)(766, 1090, 800, 1124)(771, 1095, 807, 1131)(772, 1096, 808, 1132)(775, 1099, 812, 1136)(776, 1100, 813, 1137)(777, 1101, 814, 1138)(781, 1105, 819, 1143)(782, 1106, 820, 1144)(783, 1107, 821, 1145)(784, 1108, 822, 1146)(785, 1109, 823, 1147)(786, 1110, 824, 1148)(787, 1111, 825, 1149)(788, 1112, 826, 1150)(795, 1119, 835, 1159)(796, 1120, 836, 1160)(797, 1121, 837, 1161)(801, 1125, 842, 1166)(802, 1126, 843, 1167)(803, 1127, 844, 1168)(804, 1128, 845, 1169)(805, 1129, 846, 1170)(806, 1130, 847, 1171)(809, 1133, 851, 1175)(810, 1134, 852, 1176)(811, 1135, 853, 1177)(815, 1139, 858, 1182)(816, 1140, 859, 1183)(817, 1141, 860, 1184)(818, 1142, 861, 1185)(827, 1151, 871, 1195)(828, 1152, 872, 1196)(829, 1153, 873, 1197)(830, 1154, 874, 1198)(831, 1155, 848, 1172)(832, 1156, 875, 1199)(833, 1157, 876, 1200)(834, 1158, 877, 1201)(838, 1162, 882, 1206)(839, 1163, 883, 1207)(840, 1164, 884, 1208)(841, 1165, 885, 1209)(849, 1173, 893, 1217)(850, 1174, 894, 1218)(854, 1178, 899, 1223)(855, 1179, 900, 1224)(856, 1180, 901, 1225)(857, 1181, 902, 1226)(862, 1186, 907, 1231)(863, 1187, 908, 1232)(864, 1188, 909, 1233)(865, 1189, 910, 1234)(866, 1190, 892, 1216)(867, 1191, 911, 1235)(868, 1192, 912, 1236)(869, 1193, 913, 1237)(870, 1194, 914, 1238)(878, 1202, 925, 1249)(879, 1203, 926, 1250)(880, 1204, 927, 1251)(881, 1205, 928, 1252)(886, 1210, 933, 1257)(887, 1211, 934, 1258)(888, 1212, 935, 1259)(889, 1213, 936, 1260)(890, 1214, 937, 1261)(891, 1215, 938, 1262)(895, 1219, 939, 1263)(896, 1220, 940, 1264)(897, 1221, 941, 1265)(898, 1222, 942, 1266)(903, 1227, 944, 1268)(904, 1228, 945, 1269)(905, 1229, 946, 1270)(906, 1230, 947, 1271)(915, 1239, 943, 1267)(916, 1240, 952, 1276)(917, 1241, 951, 1275)(918, 1242, 950, 1274)(919, 1243, 949, 1273)(920, 1244, 948, 1272)(921, 1245, 959, 1283)(922, 1246, 960, 1284)(923, 1247, 961, 1285)(924, 1248, 962, 1286)(929, 1253, 963, 1287)(930, 1254, 964, 1288)(931, 1255, 965, 1289)(932, 1256, 966, 1290)(953, 1277, 972, 1296)(954, 1278, 971, 1295)(955, 1279, 970, 1294)(956, 1280, 969, 1293)(957, 1281, 968, 1292)(958, 1282, 967, 1291)
	L = (1, 652)(2, 655)(3, 657)(4, 649)(5, 659)(6, 662)(7, 650)(8, 665)(9, 651)(10, 666)(11, 653)(12, 668)(13, 672)(14, 654)(15, 673)(16, 676)(17, 656)(18, 658)(19, 678)(20, 660)(21, 682)(22, 681)(23, 686)(24, 661)(25, 663)(26, 688)(27, 692)(28, 664)(29, 693)(30, 667)(31, 696)(32, 695)(33, 670)(34, 669)(35, 700)(36, 699)(37, 706)(38, 671)(39, 707)(40, 674)(41, 710)(42, 709)(43, 714)(44, 675)(45, 677)(46, 716)(47, 680)(48, 679)(49, 720)(50, 719)(51, 684)(52, 683)(53, 727)(54, 726)(55, 725)(56, 724)(57, 731)(58, 685)(59, 687)(60, 732)(61, 690)(62, 689)(63, 736)(64, 735)(65, 740)(66, 691)(67, 741)(68, 694)(69, 744)(70, 743)(71, 698)(72, 697)(73, 749)(74, 748)(75, 747)(76, 704)(77, 703)(78, 702)(79, 701)(80, 755)(81, 754)(82, 753)(83, 705)(84, 708)(85, 761)(86, 760)(87, 712)(88, 711)(89, 766)(90, 765)(91, 764)(92, 713)(93, 715)(94, 770)(95, 718)(96, 717)(97, 774)(98, 773)(99, 723)(100, 722)(101, 721)(102, 780)(103, 779)(104, 778)(105, 730)(106, 729)(107, 728)(108, 788)(109, 787)(110, 786)(111, 785)(112, 734)(113, 733)(114, 794)(115, 793)(116, 739)(117, 738)(118, 737)(119, 800)(120, 799)(121, 798)(122, 742)(123, 806)(124, 805)(125, 746)(126, 745)(127, 811)(128, 810)(129, 809)(130, 752)(131, 751)(132, 750)(133, 818)(134, 817)(135, 816)(136, 815)(137, 759)(138, 758)(139, 757)(140, 756)(141, 826)(142, 825)(143, 824)(144, 823)(145, 763)(146, 762)(147, 834)(148, 833)(149, 832)(150, 769)(151, 768)(152, 767)(153, 841)(154, 840)(155, 839)(156, 838)(157, 772)(158, 771)(159, 847)(160, 846)(161, 777)(162, 776)(163, 775)(164, 853)(165, 852)(166, 851)(167, 784)(168, 783)(169, 782)(170, 781)(171, 861)(172, 860)(173, 859)(174, 858)(175, 792)(176, 791)(177, 790)(178, 789)(179, 870)(180, 869)(181, 868)(182, 867)(183, 866)(184, 797)(185, 796)(186, 795)(187, 877)(188, 876)(189, 875)(190, 804)(191, 803)(192, 802)(193, 801)(194, 885)(195, 884)(196, 883)(197, 882)(198, 808)(199, 807)(200, 892)(201, 891)(202, 890)(203, 814)(204, 813)(205, 812)(206, 898)(207, 897)(208, 896)(209, 895)(210, 822)(211, 821)(212, 820)(213, 819)(214, 906)(215, 905)(216, 904)(217, 903)(218, 831)(219, 830)(220, 829)(221, 828)(222, 827)(223, 914)(224, 913)(225, 912)(226, 911)(227, 837)(228, 836)(229, 835)(230, 924)(231, 923)(232, 922)(233, 921)(234, 845)(235, 844)(236, 843)(237, 842)(238, 932)(239, 931)(240, 930)(241, 929)(242, 850)(243, 849)(244, 848)(245, 938)(246, 937)(247, 857)(248, 856)(249, 855)(250, 854)(251, 942)(252, 941)(253, 940)(254, 939)(255, 865)(256, 864)(257, 863)(258, 862)(259, 947)(260, 946)(261, 945)(262, 944)(263, 874)(264, 873)(265, 872)(266, 871)(267, 958)(268, 957)(269, 956)(270, 955)(271, 954)(272, 953)(273, 881)(274, 880)(275, 879)(276, 878)(277, 962)(278, 961)(279, 960)(280, 959)(281, 889)(282, 888)(283, 887)(284, 886)(285, 966)(286, 965)(287, 964)(288, 963)(289, 894)(290, 893)(291, 902)(292, 901)(293, 900)(294, 899)(295, 967)(296, 910)(297, 909)(298, 908)(299, 907)(300, 972)(301, 971)(302, 970)(303, 969)(304, 968)(305, 920)(306, 919)(307, 918)(308, 917)(309, 916)(310, 915)(311, 928)(312, 927)(313, 926)(314, 925)(315, 936)(316, 935)(317, 934)(318, 933)(319, 943)(320, 952)(321, 951)(322, 950)(323, 949)(324, 948)(325, 973)(326, 974)(327, 975)(328, 976)(329, 977)(330, 978)(331, 979)(332, 980)(333, 981)(334, 982)(335, 983)(336, 984)(337, 985)(338, 986)(339, 987)(340, 988)(341, 989)(342, 990)(343, 991)(344, 992)(345, 993)(346, 994)(347, 995)(348, 996)(349, 997)(350, 998)(351, 999)(352, 1000)(353, 1001)(354, 1002)(355, 1003)(356, 1004)(357, 1005)(358, 1006)(359, 1007)(360, 1008)(361, 1009)(362, 1010)(363, 1011)(364, 1012)(365, 1013)(366, 1014)(367, 1015)(368, 1016)(369, 1017)(370, 1018)(371, 1019)(372, 1020)(373, 1021)(374, 1022)(375, 1023)(376, 1024)(377, 1025)(378, 1026)(379, 1027)(380, 1028)(381, 1029)(382, 1030)(383, 1031)(384, 1032)(385, 1033)(386, 1034)(387, 1035)(388, 1036)(389, 1037)(390, 1038)(391, 1039)(392, 1040)(393, 1041)(394, 1042)(395, 1043)(396, 1044)(397, 1045)(398, 1046)(399, 1047)(400, 1048)(401, 1049)(402, 1050)(403, 1051)(404, 1052)(405, 1053)(406, 1054)(407, 1055)(408, 1056)(409, 1057)(410, 1058)(411, 1059)(412, 1060)(413, 1061)(414, 1062)(415, 1063)(416, 1064)(417, 1065)(418, 1066)(419, 1067)(420, 1068)(421, 1069)(422, 1070)(423, 1071)(424, 1072)(425, 1073)(426, 1074)(427, 1075)(428, 1076)(429, 1077)(430, 1078)(431, 1079)(432, 1080)(433, 1081)(434, 1082)(435, 1083)(436, 1084)(437, 1085)(438, 1086)(439, 1087)(440, 1088)(441, 1089)(442, 1090)(443, 1091)(444, 1092)(445, 1093)(446, 1094)(447, 1095)(448, 1096)(449, 1097)(450, 1098)(451, 1099)(452, 1100)(453, 1101)(454, 1102)(455, 1103)(456, 1104)(457, 1105)(458, 1106)(459, 1107)(460, 1108)(461, 1109)(462, 1110)(463, 1111)(464, 1112)(465, 1113)(466, 1114)(467, 1115)(468, 1116)(469, 1117)(470, 1118)(471, 1119)(472, 1120)(473, 1121)(474, 1122)(475, 1123)(476, 1124)(477, 1125)(478, 1126)(479, 1127)(480, 1128)(481, 1129)(482, 1130)(483, 1131)(484, 1132)(485, 1133)(486, 1134)(487, 1135)(488, 1136)(489, 1137)(490, 1138)(491, 1139)(492, 1140)(493, 1141)(494, 1142)(495, 1143)(496, 1144)(497, 1145)(498, 1146)(499, 1147)(500, 1148)(501, 1149)(502, 1150)(503, 1151)(504, 1152)(505, 1153)(506, 1154)(507, 1155)(508, 1156)(509, 1157)(510, 1158)(511, 1159)(512, 1160)(513, 1161)(514, 1162)(515, 1163)(516, 1164)(517, 1165)(518, 1166)(519, 1167)(520, 1168)(521, 1169)(522, 1170)(523, 1171)(524, 1172)(525, 1173)(526, 1174)(527, 1175)(528, 1176)(529, 1177)(530, 1178)(531, 1179)(532, 1180)(533, 1181)(534, 1182)(535, 1183)(536, 1184)(537, 1185)(538, 1186)(539, 1187)(540, 1188)(541, 1189)(542, 1190)(543, 1191)(544, 1192)(545, 1193)(546, 1194)(547, 1195)(548, 1196)(549, 1197)(550, 1198)(551, 1199)(552, 1200)(553, 1201)(554, 1202)(555, 1203)(556, 1204)(557, 1205)(558, 1206)(559, 1207)(560, 1208)(561, 1209)(562, 1210)(563, 1211)(564, 1212)(565, 1213)(566, 1214)(567, 1215)(568, 1216)(569, 1217)(570, 1218)(571, 1219)(572, 1220)(573, 1221)(574, 1222)(575, 1223)(576, 1224)(577, 1225)(578, 1226)(579, 1227)(580, 1228)(581, 1229)(582, 1230)(583, 1231)(584, 1232)(585, 1233)(586, 1234)(587, 1235)(588, 1236)(589, 1237)(590, 1238)(591, 1239)(592, 1240)(593, 1241)(594, 1242)(595, 1243)(596, 1244)(597, 1245)(598, 1246)(599, 1247)(600, 1248)(601, 1249)(602, 1250)(603, 1251)(604, 1252)(605, 1253)(606, 1254)(607, 1255)(608, 1256)(609, 1257)(610, 1258)(611, 1259)(612, 1260)(613, 1261)(614, 1262)(615, 1263)(616, 1264)(617, 1265)(618, 1266)(619, 1267)(620, 1268)(621, 1269)(622, 1270)(623, 1271)(624, 1272)(625, 1273)(626, 1274)(627, 1275)(628, 1276)(629, 1277)(630, 1278)(631, 1279)(632, 1280)(633, 1281)(634, 1282)(635, 1283)(636, 1284)(637, 1285)(638, 1286)(639, 1287)(640, 1288)(641, 1289)(642, 1290)(643, 1291)(644, 1292)(645, 1293)(646, 1294)(647, 1295)(648, 1296)
	local type(s) :: { ( 4^4 ), ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E28.3190
Graph:: simple bipartite
	v = 270 e = 648 f = 324
	degree seq :: [ 4^162, 6^108 ]

E28.3195 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = (((C9 x C3) : C3) : C2) : C2 (small group id <324, 41>)
Aut   = $<648, 301>$ (small group id <648, 301>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1^3, (Y3 * Y2)^2, (Y1 * R)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^6, Y3 * Y2 * R * Y2 * R * Y3, Y1 * Y2 * Y3 * Y2 * Y3^2 * Y1 * Y3, R * Y2 * Y3 * Y2 * R * Y1 * Y3 * Y1, R * Y3^-1 * Y1 * Y2 * Y3 * Y1^-1 * R * Y2, (Y3^2 * Y1^-1 * Y2)^2, Y3^-1 * Y1 * Y3^3 * Y2 * Y1 * Y2 * Y1^-1, R * Y2 * R * Y1 * Y3 * Y1^-1 * Y3^-1 * Y2 * Y1^-1, Y2 * Y1^-1 * R * Y2 * Y1^-1 * Y2 * R * Y2 * Y1, (Y1^-1 * Y3 * Y2 * Y1 * Y2)^2, (Y1 * Y2)^6, Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3^-2 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 325, 2, 326, 5, 329)(3, 327, 10, 334, 12, 336)(4, 328, 14, 338, 16, 340)(6, 330, 19, 343, 8, 332)(7, 331, 21, 345, 23, 347)(9, 333, 26, 350, 18, 342)(11, 335, 31, 355, 33, 357)(13, 337, 36, 360, 29, 353)(15, 339, 40, 364, 42, 366)(17, 341, 45, 369, 46, 370)(20, 344, 52, 376, 50, 374)(22, 346, 56, 380, 58, 382)(24, 348, 61, 385, 54, 378)(25, 349, 51, 375, 64, 388)(27, 351, 68, 392, 66, 390)(28, 352, 69, 393, 71, 395)(30, 354, 74, 398, 35, 359)(32, 356, 78, 402, 57, 381)(34, 358, 81, 405, 82, 406)(37, 361, 88, 412, 86, 410)(38, 362, 89, 413, 90, 414)(39, 363, 91, 415, 44, 368)(41, 365, 70, 394, 92, 416)(43, 367, 94, 418, 95, 419)(47, 371, 101, 425, 97, 421)(48, 372, 67, 391, 102, 426)(49, 373, 103, 427, 104, 428)(53, 377, 108, 432, 110, 434)(55, 379, 113, 437, 60, 384)(59, 383, 115, 439, 116, 440)(62, 386, 120, 444, 118, 442)(63, 387, 109, 433, 121, 445)(65, 389, 123, 447, 124, 448)(72, 396, 133, 457, 129, 453)(73, 397, 87, 411, 136, 460)(75, 399, 140, 464, 138, 462)(76, 400, 141, 465, 93, 417)(77, 401, 142, 466, 80, 404)(79, 403, 143, 467, 144, 468)(83, 407, 150, 474, 146, 470)(84, 408, 139, 463, 151, 475)(85, 409, 152, 476, 106, 430)(96, 420, 158, 482, 159, 483)(98, 422, 162, 486, 100, 424)(99, 423, 164, 488, 165, 489)(105, 429, 170, 494, 168, 492)(107, 431, 171, 495, 122, 446)(111, 435, 177, 501, 173, 497)(112, 436, 119, 443, 180, 504)(114, 438, 183, 507, 182, 506)(117, 441, 186, 510, 126, 450)(125, 449, 192, 516, 190, 514)(127, 451, 193, 517, 166, 490)(128, 452, 194, 518, 196, 520)(130, 454, 199, 523, 132, 456)(131, 455, 169, 493, 201, 525)(134, 458, 205, 529, 203, 527)(135, 459, 195, 519, 206, 530)(137, 461, 208, 532, 209, 533)(145, 469, 215, 539, 157, 481)(147, 471, 218, 542, 149, 473)(148, 472, 220, 544, 172, 496)(153, 477, 224, 548, 223, 547)(154, 478, 225, 549, 207, 531)(155, 479, 226, 550, 161, 485)(156, 480, 227, 551, 228, 552)(160, 484, 231, 555, 230, 554)(163, 487, 236, 560, 235, 559)(167, 491, 238, 562, 185, 509)(174, 498, 246, 570, 176, 500)(175, 499, 191, 515, 248, 572)(178, 502, 241, 565, 250, 574)(179, 503, 243, 567, 252, 576)(181, 505, 254, 578, 255, 579)(184, 508, 258, 582, 229, 553)(187, 511, 261, 585, 260, 584)(188, 512, 262, 586, 253, 577)(189, 513, 263, 587, 237, 561)(197, 521, 265, 589, 267, 591)(198, 522, 204, 528, 272, 596)(200, 524, 264, 588, 274, 598)(202, 526, 277, 601, 211, 535)(210, 534, 245, 569, 251, 575)(212, 536, 244, 568, 221, 545)(213, 537, 281, 605, 217, 541)(214, 538, 282, 606, 283, 607)(216, 540, 286, 610, 285, 609)(219, 543, 289, 613, 247, 571)(222, 546, 290, 614, 276, 600)(232, 556, 266, 590, 301, 625)(233, 557, 296, 620, 303, 627)(234, 558, 279, 603, 304, 628)(239, 563, 297, 621, 295, 619)(240, 564, 242, 566, 298, 622)(249, 573, 308, 632, 257, 581)(256, 580, 299, 623, 302, 626)(259, 583, 273, 597, 307, 631)(268, 592, 300, 624, 270, 594)(269, 593, 280, 604, 310, 634)(271, 595, 293, 617, 311, 635)(275, 599, 306, 630, 284, 608)(278, 602, 317, 641, 309, 633)(287, 611, 305, 629, 313, 637)(288, 612, 319, 643, 324, 648)(291, 615, 320, 644, 318, 642)(292, 616, 294, 618, 321, 645)(312, 636, 314, 638, 316, 640)(315, 639, 322, 646, 323, 647)(649, 973, 651, 975)(650, 974, 655, 979)(652, 976, 661, 985)(653, 977, 665, 989)(654, 978, 659, 983)(656, 980, 672, 996)(657, 981, 670, 994)(658, 982, 676, 1000)(660, 984, 682, 1006)(662, 986, 686, 1010)(663, 987, 685, 1009)(664, 988, 691, 1015)(666, 990, 695, 1019)(667, 991, 697, 1021)(668, 992, 680, 1004)(669, 993, 701, 1025)(671, 995, 707, 1031)(673, 997, 710, 1034)(674, 998, 713, 1037)(675, 999, 705, 1029)(677, 1001, 720, 1044)(678, 1002, 718, 1042)(679, 1003, 724, 1048)(681, 1005, 727, 1051)(683, 1007, 731, 1055)(684, 1008, 733, 1057)(687, 1011, 726, 1050)(688, 1012, 725, 1049)(689, 1013, 706, 1030)(690, 1014, 723, 1047)(692, 1016, 732, 1056)(693, 1017, 744, 1068)(694, 1018, 747, 1071)(696, 1020, 728, 1052)(698, 1022, 753, 1077)(699, 1023, 736, 1060)(700, 1024, 735, 1059)(702, 1026, 759, 1083)(703, 1027, 757, 1081)(704, 1028, 755, 1079)(708, 1032, 754, 1078)(709, 1033, 765, 1089)(711, 1035, 738, 1062)(712, 1036, 762, 1086)(714, 1038, 773, 1097)(715, 1039, 768, 1092)(716, 1040, 767, 1091)(717, 1041, 776, 1100)(719, 1043, 779, 1103)(721, 1045, 782, 1106)(722, 1046, 785, 1109)(729, 1053, 793, 1117)(730, 1054, 796, 1120)(734, 1058, 801, 1125)(737, 1061, 775, 1099)(739, 1063, 803, 1127)(740, 1064, 802, 1126)(741, 1065, 783, 1107)(742, 1066, 795, 1119)(743, 1067, 804, 1128)(745, 1069, 808, 1132)(746, 1070, 791, 1115)(748, 1072, 774, 1098)(749, 1073, 798, 1122)(750, 1074, 811, 1135)(751, 1075, 815, 1139)(752, 1076, 780, 1104)(756, 1080, 820, 1144)(758, 1082, 823, 1147)(760, 1084, 826, 1150)(761, 1085, 829, 1153)(763, 1087, 817, 1141)(764, 1088, 832, 1156)(766, 1090, 835, 1159)(769, 1093, 836, 1160)(770, 1094, 827, 1151)(771, 1095, 837, 1161)(772, 1096, 824, 1148)(777, 1101, 845, 1169)(778, 1102, 843, 1167)(781, 1105, 850, 1174)(784, 1108, 848, 1172)(786, 1110, 858, 1182)(787, 1111, 853, 1177)(788, 1112, 852, 1176)(789, 1113, 860, 1184)(790, 1114, 861, 1185)(792, 1116, 862, 1186)(794, 1118, 864, 1188)(797, 1121, 859, 1183)(799, 1123, 867, 1191)(800, 1124, 870, 1194)(805, 1129, 807, 1131)(806, 1130, 877, 1201)(809, 1133, 880, 1204)(810, 1134, 882, 1206)(812, 1136, 839, 1163)(813, 1137, 842, 1166)(814, 1138, 881, 1205)(816, 1140, 887, 1211)(818, 1142, 889, 1213)(819, 1143, 890, 1214)(821, 1145, 892, 1216)(822, 1146, 891, 1215)(825, 1149, 897, 1221)(828, 1152, 895, 1219)(830, 1154, 904, 1228)(831, 1155, 899, 1223)(833, 1157, 905, 1229)(834, 1158, 907, 1231)(838, 1162, 912, 1236)(840, 1164, 914, 1238)(841, 1165, 915, 1239)(844, 1168, 917, 1241)(846, 1170, 919, 1243)(847, 1171, 921, 1245)(849, 1173, 923, 1247)(851, 1175, 926, 1250)(854, 1178, 927, 1251)(855, 1179, 911, 1235)(856, 1180, 900, 1224)(857, 1181, 918, 1242)(863, 1187, 932, 1256)(865, 1189, 935, 1259)(866, 1190, 901, 1225)(868, 1192, 928, 1252)(869, 1193, 936, 1260)(871, 1195, 939, 1263)(872, 1196, 941, 1265)(873, 1197, 942, 1266)(874, 1198, 943, 1267)(875, 1199, 944, 1268)(876, 1200, 938, 1262)(878, 1202, 946, 1270)(879, 1203, 948, 1272)(883, 1207, 920, 1244)(884, 1208, 950, 1274)(885, 1209, 916, 1240)(886, 1210, 931, 1255)(888, 1212, 940, 1264)(893, 1217, 953, 1277)(894, 1218, 934, 1258)(896, 1220, 954, 1278)(898, 1222, 957, 1281)(902, 1226, 951, 1275)(903, 1227, 925, 1249)(906, 1230, 958, 1282)(908, 1232, 959, 1283)(909, 1233, 961, 1285)(910, 1234, 962, 1286)(913, 1237, 960, 1284)(922, 1246, 963, 1287)(924, 1248, 964, 1288)(929, 1253, 966, 1290)(930, 1254, 967, 1291)(933, 1257, 969, 1293)(937, 1261, 971, 1295)(945, 1269, 970, 1294)(947, 1271, 968, 1292)(949, 1273, 965, 1289)(952, 1276, 956, 1280)(955, 1279, 972, 1296)
	L = (1, 652)(2, 656)(3, 659)(4, 663)(5, 666)(6, 649)(7, 670)(8, 673)(9, 650)(10, 677)(11, 680)(12, 683)(13, 651)(14, 653)(15, 689)(16, 692)(17, 686)(18, 696)(19, 698)(20, 654)(21, 702)(22, 705)(23, 708)(24, 655)(25, 711)(26, 714)(27, 657)(28, 718)(29, 721)(30, 658)(31, 660)(32, 706)(33, 728)(34, 724)(35, 732)(36, 734)(37, 661)(38, 726)(39, 662)(40, 664)(41, 668)(42, 741)(43, 725)(44, 731)(45, 745)(46, 748)(47, 665)(48, 727)(49, 736)(50, 754)(51, 667)(52, 740)(53, 757)(54, 760)(55, 669)(56, 671)(57, 738)(58, 685)(59, 755)(60, 753)(61, 766)(62, 672)(63, 675)(64, 770)(65, 768)(66, 774)(67, 674)(68, 769)(69, 777)(70, 690)(71, 780)(72, 676)(73, 783)(74, 786)(75, 678)(76, 688)(77, 679)(78, 681)(79, 687)(80, 695)(81, 794)(82, 797)(83, 682)(84, 691)(85, 700)(86, 752)(87, 684)(88, 704)(89, 694)(90, 710)(91, 792)(92, 719)(93, 782)(94, 799)(95, 805)(96, 791)(97, 809)(98, 693)(99, 775)(100, 773)(101, 790)(102, 814)(103, 816)(104, 779)(105, 697)(106, 707)(107, 699)(108, 821)(109, 712)(110, 824)(111, 701)(112, 827)(113, 830)(114, 703)(115, 800)(116, 833)(117, 716)(118, 772)(119, 709)(120, 737)(121, 758)(122, 826)(123, 838)(124, 823)(125, 713)(126, 747)(127, 715)(128, 843)(129, 846)(130, 717)(131, 802)(132, 801)(133, 851)(134, 720)(135, 723)(136, 855)(137, 853)(138, 859)(139, 722)(140, 854)(141, 730)(142, 743)(143, 750)(144, 807)(145, 742)(146, 865)(147, 729)(148, 860)(149, 858)(150, 739)(151, 869)(152, 871)(153, 733)(154, 735)(155, 749)(156, 861)(157, 862)(158, 878)(159, 804)(160, 744)(161, 881)(162, 883)(163, 746)(164, 834)(165, 885)(166, 880)(167, 763)(168, 888)(169, 751)(170, 761)(171, 764)(172, 891)(173, 893)(174, 756)(175, 836)(176, 835)(177, 898)(178, 759)(179, 762)(180, 901)(181, 889)(182, 905)(183, 900)(184, 890)(185, 904)(186, 908)(187, 765)(188, 767)(189, 812)(190, 913)(191, 771)(192, 810)(193, 813)(194, 915)(195, 784)(196, 918)(197, 776)(198, 911)(199, 922)(200, 778)(201, 924)(202, 788)(203, 857)(204, 781)(205, 789)(206, 844)(207, 919)(208, 899)(209, 917)(210, 785)(211, 796)(212, 787)(213, 798)(214, 803)(215, 933)(216, 793)(217, 936)(218, 895)(219, 795)(220, 925)(221, 935)(222, 817)(223, 940)(224, 847)(225, 849)(226, 931)(227, 806)(228, 945)(229, 944)(230, 947)(231, 949)(232, 808)(233, 811)(234, 914)(235, 916)(236, 951)(237, 920)(238, 943)(239, 815)(240, 939)(241, 819)(242, 818)(243, 828)(244, 820)(245, 866)(246, 937)(247, 822)(248, 955)(249, 831)(250, 903)(251, 825)(252, 868)(253, 953)(254, 950)(255, 928)(256, 829)(257, 832)(258, 956)(259, 839)(260, 960)(261, 894)(262, 896)(263, 848)(264, 837)(265, 959)(266, 841)(267, 840)(268, 842)(269, 927)(270, 926)(271, 845)(272, 882)(273, 941)(274, 964)(275, 942)(276, 963)(277, 957)(278, 850)(279, 852)(280, 856)(281, 876)(282, 863)(283, 968)(284, 967)(285, 970)(286, 961)(287, 864)(288, 867)(289, 972)(290, 966)(291, 870)(292, 887)(293, 873)(294, 872)(295, 875)(296, 874)(297, 969)(298, 877)(299, 886)(300, 884)(301, 952)(302, 879)(303, 906)(304, 958)(305, 892)(306, 962)(307, 971)(308, 965)(309, 897)(310, 902)(311, 907)(312, 912)(313, 910)(314, 909)(315, 921)(316, 923)(317, 948)(318, 930)(319, 929)(320, 946)(321, 932)(322, 938)(323, 934)(324, 954)(325, 973)(326, 974)(327, 975)(328, 976)(329, 977)(330, 978)(331, 979)(332, 980)(333, 981)(334, 982)(335, 983)(336, 984)(337, 985)(338, 986)(339, 987)(340, 988)(341, 989)(342, 990)(343, 991)(344, 992)(345, 993)(346, 994)(347, 995)(348, 996)(349, 997)(350, 998)(351, 999)(352, 1000)(353, 1001)(354, 1002)(355, 1003)(356, 1004)(357, 1005)(358, 1006)(359, 1007)(360, 1008)(361, 1009)(362, 1010)(363, 1011)(364, 1012)(365, 1013)(366, 1014)(367, 1015)(368, 1016)(369, 1017)(370, 1018)(371, 1019)(372, 1020)(373, 1021)(374, 1022)(375, 1023)(376, 1024)(377, 1025)(378, 1026)(379, 1027)(380, 1028)(381, 1029)(382, 1030)(383, 1031)(384, 1032)(385, 1033)(386, 1034)(387, 1035)(388, 1036)(389, 1037)(390, 1038)(391, 1039)(392, 1040)(393, 1041)(394, 1042)(395, 1043)(396, 1044)(397, 1045)(398, 1046)(399, 1047)(400, 1048)(401, 1049)(402, 1050)(403, 1051)(404, 1052)(405, 1053)(406, 1054)(407, 1055)(408, 1056)(409, 1057)(410, 1058)(411, 1059)(412, 1060)(413, 1061)(414, 1062)(415, 1063)(416, 1064)(417, 1065)(418, 1066)(419, 1067)(420, 1068)(421, 1069)(422, 1070)(423, 1071)(424, 1072)(425, 1073)(426, 1074)(427, 1075)(428, 1076)(429, 1077)(430, 1078)(431, 1079)(432, 1080)(433, 1081)(434, 1082)(435, 1083)(436, 1084)(437, 1085)(438, 1086)(439, 1087)(440, 1088)(441, 1089)(442, 1090)(443, 1091)(444, 1092)(445, 1093)(446, 1094)(447, 1095)(448, 1096)(449, 1097)(450, 1098)(451, 1099)(452, 1100)(453, 1101)(454, 1102)(455, 1103)(456, 1104)(457, 1105)(458, 1106)(459, 1107)(460, 1108)(461, 1109)(462, 1110)(463, 1111)(464, 1112)(465, 1113)(466, 1114)(467, 1115)(468, 1116)(469, 1117)(470, 1118)(471, 1119)(472, 1120)(473, 1121)(474, 1122)(475, 1123)(476, 1124)(477, 1125)(478, 1126)(479, 1127)(480, 1128)(481, 1129)(482, 1130)(483, 1131)(484, 1132)(485, 1133)(486, 1134)(487, 1135)(488, 1136)(489, 1137)(490, 1138)(491, 1139)(492, 1140)(493, 1141)(494, 1142)(495, 1143)(496, 1144)(497, 1145)(498, 1146)(499, 1147)(500, 1148)(501, 1149)(502, 1150)(503, 1151)(504, 1152)(505, 1153)(506, 1154)(507, 1155)(508, 1156)(509, 1157)(510, 1158)(511, 1159)(512, 1160)(513, 1161)(514, 1162)(515, 1163)(516, 1164)(517, 1165)(518, 1166)(519, 1167)(520, 1168)(521, 1169)(522, 1170)(523, 1171)(524, 1172)(525, 1173)(526, 1174)(527, 1175)(528, 1176)(529, 1177)(530, 1178)(531, 1179)(532, 1180)(533, 1181)(534, 1182)(535, 1183)(536, 1184)(537, 1185)(538, 1186)(539, 1187)(540, 1188)(541, 1189)(542, 1190)(543, 1191)(544, 1192)(545, 1193)(546, 1194)(547, 1195)(548, 1196)(549, 1197)(550, 1198)(551, 1199)(552, 1200)(553, 1201)(554, 1202)(555, 1203)(556, 1204)(557, 1205)(558, 1206)(559, 1207)(560, 1208)(561, 1209)(562, 1210)(563, 1211)(564, 1212)(565, 1213)(566, 1214)(567, 1215)(568, 1216)(569, 1217)(570, 1218)(571, 1219)(572, 1220)(573, 1221)(574, 1222)(575, 1223)(576, 1224)(577, 1225)(578, 1226)(579, 1227)(580, 1228)(581, 1229)(582, 1230)(583, 1231)(584, 1232)(585, 1233)(586, 1234)(587, 1235)(588, 1236)(589, 1237)(590, 1238)(591, 1239)(592, 1240)(593, 1241)(594, 1242)(595, 1243)(596, 1244)(597, 1245)(598, 1246)(599, 1247)(600, 1248)(601, 1249)(602, 1250)(603, 1251)(604, 1252)(605, 1253)(606, 1254)(607, 1255)(608, 1256)(609, 1257)(610, 1258)(611, 1259)(612, 1260)(613, 1261)(614, 1262)(615, 1263)(616, 1264)(617, 1265)(618, 1266)(619, 1267)(620, 1268)(621, 1269)(622, 1270)(623, 1271)(624, 1272)(625, 1273)(626, 1274)(627, 1275)(628, 1276)(629, 1277)(630, 1278)(631, 1279)(632, 1280)(633, 1281)(634, 1282)(635, 1283)(636, 1284)(637, 1285)(638, 1286)(639, 1287)(640, 1288)(641, 1289)(642, 1290)(643, 1291)(644, 1292)(645, 1293)(646, 1294)(647, 1295)(648, 1296)
	local type(s) :: { ( 4^4 ), ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E28.3191
Graph:: simple bipartite
	v = 270 e = 648 f = 324
	degree seq :: [ 4^162, 6^108 ]

E28.3196 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = (C3 x (((C3 x C3) : C3) : C2)) : C2 (small group id <324, 124>)
Aut   = $<648, 555>$ (small group id <648, 555>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y1)^2, (Y3^-1 * R)^2, (Y3 * Y2)^2, Y3^-6, (Y3^-1 * Y1)^3, Y3 * Y2 * R * Y2 * R * Y3, Y3^6, (Y3^3 * Y1)^3, (Y2 * Y3^-1 * Y1 * Y3^-2 * Y1)^2, (R * Y2 * Y1 * Y2 * Y1 * Y3^-1)^2, Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-2 * Y2 * Y1 * Y3^-1 * Y2 * Y1, Y3 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1, Y3^2 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y2 * Y3 * Y1, Y2 * Y1 * Y3^2 * Y1 * R * Y2 * R * Y1 * Y3^-2 * Y1, Y3^2 * Y1 * Y3^2 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1, (Y2 * Y1)^6, Y3 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * R * Y2 * R * Y1 ]
Map:: polyhedral non-degenerate
	R = (1, 325, 2, 326)(3, 327, 9, 333)(4, 328, 12, 336)(5, 329, 14, 338)(6, 330, 16, 340)(7, 331, 19, 343)(8, 332, 21, 345)(10, 334, 26, 350)(11, 335, 28, 352)(13, 337, 32, 356)(15, 339, 36, 360)(17, 341, 40, 364)(18, 342, 42, 366)(20, 344, 46, 370)(22, 346, 50, 374)(23, 347, 51, 375)(24, 348, 54, 378)(25, 349, 56, 380)(27, 351, 60, 384)(29, 353, 64, 388)(30, 354, 65, 389)(31, 355, 67, 391)(33, 357, 71, 395)(34, 358, 72, 396)(35, 359, 74, 398)(37, 361, 78, 402)(38, 362, 81, 405)(39, 363, 83, 407)(41, 365, 87, 411)(43, 367, 91, 415)(44, 368, 92, 416)(45, 369, 94, 418)(47, 371, 98, 422)(48, 372, 99, 423)(49, 373, 101, 425)(52, 376, 108, 432)(53, 377, 110, 434)(55, 379, 114, 438)(57, 381, 118, 442)(58, 382, 119, 443)(59, 383, 121, 445)(61, 385, 125, 449)(62, 386, 126, 450)(63, 387, 128, 452)(66, 390, 135, 459)(68, 392, 139, 463)(69, 393, 140, 464)(70, 394, 142, 466)(73, 397, 149, 473)(75, 399, 153, 477)(76, 400, 154, 478)(77, 401, 145, 469)(79, 403, 160, 484)(80, 404, 162, 486)(82, 406, 166, 490)(84, 408, 170, 494)(85, 409, 171, 495)(86, 410, 173, 497)(88, 412, 177, 501)(89, 413, 178, 502)(90, 414, 180, 504)(93, 417, 187, 511)(95, 419, 191, 515)(96, 420, 192, 516)(97, 421, 194, 518)(100, 424, 201, 525)(102, 426, 205, 529)(103, 427, 206, 530)(104, 428, 197, 521)(105, 429, 157, 481)(106, 430, 211, 535)(107, 431, 213, 537)(109, 433, 215, 539)(111, 435, 217, 541)(112, 436, 218, 542)(113, 437, 189, 513)(115, 439, 222, 546)(116, 440, 223, 547)(117, 441, 203, 527)(120, 444, 228, 552)(122, 446, 193, 517)(123, 447, 230, 554)(124, 448, 231, 555)(127, 451, 236, 560)(129, 453, 207, 531)(130, 454, 238, 562)(131, 455, 234, 558)(132, 456, 240, 564)(133, 457, 200, 524)(134, 458, 186, 510)(136, 460, 209, 533)(137, 461, 165, 489)(138, 462, 190, 514)(141, 465, 174, 498)(143, 467, 208, 532)(144, 468, 248, 572)(146, 470, 250, 574)(147, 471, 199, 523)(148, 472, 185, 509)(150, 474, 210, 534)(151, 475, 169, 493)(152, 476, 204, 528)(155, 479, 181, 505)(156, 480, 195, 519)(158, 482, 259, 583)(159, 483, 261, 585)(161, 485, 263, 587)(163, 487, 265, 589)(164, 488, 266, 590)(167, 491, 270, 594)(168, 492, 271, 595)(172, 496, 276, 600)(175, 499, 278, 602)(176, 500, 279, 603)(179, 503, 284, 608)(182, 506, 286, 610)(183, 507, 282, 606)(184, 508, 288, 612)(188, 512, 257, 581)(196, 520, 296, 620)(198, 522, 298, 622)(202, 526, 258, 582)(212, 536, 292, 616)(214, 538, 302, 626)(216, 540, 281, 605)(219, 543, 277, 601)(220, 544, 293, 617)(221, 545, 308, 632)(224, 548, 285, 609)(225, 549, 303, 627)(226, 550, 310, 634)(227, 551, 299, 623)(229, 553, 267, 591)(232, 556, 304, 628)(233, 557, 264, 588)(235, 559, 289, 613)(237, 561, 272, 596)(239, 563, 294, 618)(241, 565, 283, 607)(242, 566, 297, 621)(243, 567, 305, 629)(244, 568, 260, 584)(245, 569, 268, 592)(246, 570, 287, 611)(247, 571, 300, 624)(249, 573, 290, 614)(251, 575, 275, 599)(252, 576, 295, 619)(253, 577, 306, 630)(254, 578, 262, 586)(255, 579, 273, 597)(256, 580, 280, 604)(269, 593, 318, 642)(274, 598, 320, 644)(291, 615, 315, 639)(301, 625, 316, 640)(307, 631, 319, 643)(309, 633, 317, 641)(311, 635, 324, 648)(312, 636, 323, 647)(313, 637, 322, 646)(314, 638, 321, 645)(649, 973, 651, 975)(650, 974, 654, 978)(652, 976, 659, 983)(653, 977, 658, 982)(655, 979, 666, 990)(656, 980, 665, 989)(657, 981, 671, 995)(660, 984, 678, 1002)(661, 985, 677, 1001)(662, 986, 682, 1006)(663, 987, 675, 999)(664, 988, 685, 1009)(667, 991, 692, 1016)(668, 992, 691, 1015)(669, 993, 696, 1020)(670, 994, 689, 1013)(672, 996, 701, 1025)(673, 997, 700, 1024)(674, 998, 706, 1030)(676, 1000, 710, 1034)(679, 1003, 714, 1038)(680, 1004, 717, 1041)(681, 1005, 709, 1033)(683, 1007, 721, 1045)(684, 1008, 724, 1048)(686, 1010, 728, 1052)(687, 1011, 727, 1051)(688, 1012, 733, 1057)(690, 1014, 737, 1061)(693, 1017, 741, 1065)(694, 1018, 744, 1068)(695, 1019, 736, 1060)(697, 1021, 748, 1072)(698, 1022, 751, 1075)(699, 1023, 753, 1077)(702, 1026, 760, 1084)(703, 1027, 759, 1083)(704, 1028, 764, 1088)(705, 1029, 757, 1081)(707, 1031, 768, 1092)(708, 1032, 771, 1095)(711, 1035, 775, 1099)(712, 1036, 778, 1102)(713, 1037, 780, 1104)(715, 1039, 785, 1109)(716, 1040, 784, 1108)(718, 1042, 789, 1113)(719, 1043, 792, 1116)(720, 1044, 794, 1118)(722, 1046, 799, 1123)(723, 1047, 798, 1122)(725, 1049, 803, 1127)(726, 1050, 805, 1129)(729, 1053, 812, 1136)(730, 1054, 811, 1135)(731, 1055, 816, 1140)(732, 1056, 809, 1133)(734, 1058, 820, 1144)(735, 1059, 823, 1147)(738, 1062, 827, 1151)(739, 1063, 830, 1154)(740, 1064, 832, 1156)(742, 1066, 837, 1161)(743, 1067, 836, 1160)(745, 1069, 841, 1165)(746, 1070, 844, 1168)(747, 1071, 846, 1170)(749, 1073, 851, 1175)(750, 1074, 850, 1174)(752, 1076, 855, 1179)(754, 1078, 858, 1182)(755, 1079, 857, 1181)(756, 1080, 822, 1146)(758, 1082, 829, 1153)(761, 1085, 867, 1191)(762, 1086, 838, 1162)(763, 1087, 864, 1188)(765, 1089, 872, 1196)(766, 1090, 852, 1176)(767, 1091, 824, 1148)(769, 1093, 877, 1201)(770, 1094, 808, 1132)(772, 1096, 819, 1143)(773, 1097, 881, 1205)(774, 1098, 831, 1155)(776, 1100, 885, 1209)(777, 1101, 810, 1134)(779, 1103, 826, 1150)(781, 1105, 889, 1213)(782, 1106, 863, 1187)(783, 1107, 876, 1200)(786, 1110, 814, 1138)(787, 1111, 869, 1193)(788, 1112, 892, 1216)(790, 1114, 895, 1219)(791, 1115, 894, 1218)(793, 1117, 897, 1221)(795, 1119, 865, 1189)(796, 1120, 899, 1223)(797, 1121, 884, 1208)(800, 1124, 818, 1142)(801, 1125, 874, 1198)(802, 1126, 902, 1226)(804, 1128, 904, 1228)(806, 1130, 906, 1230)(807, 1131, 905, 1229)(813, 1137, 915, 1239)(815, 1139, 912, 1236)(817, 1141, 920, 1244)(821, 1145, 925, 1249)(825, 1149, 929, 1253)(828, 1152, 933, 1257)(833, 1157, 937, 1261)(834, 1158, 911, 1235)(835, 1159, 924, 1248)(839, 1163, 917, 1241)(840, 1164, 940, 1264)(842, 1166, 943, 1267)(843, 1167, 942, 1266)(845, 1169, 945, 1269)(847, 1171, 913, 1237)(848, 1172, 947, 1271)(849, 1173, 932, 1256)(853, 1177, 922, 1246)(854, 1178, 950, 1274)(856, 1180, 952, 1276)(859, 1183, 916, 1240)(860, 1184, 954, 1278)(861, 1185, 921, 1245)(862, 1186, 953, 1277)(866, 1190, 938, 1262)(868, 1192, 907, 1231)(870, 1194, 957, 1281)(871, 1195, 948, 1272)(873, 1197, 909, 1233)(875, 1199, 928, 1252)(878, 1202, 939, 1263)(879, 1203, 946, 1270)(880, 1204, 923, 1247)(882, 1206, 936, 1260)(883, 1207, 935, 1259)(886, 1210, 949, 1273)(887, 1211, 931, 1255)(888, 1212, 930, 1254)(890, 1214, 914, 1238)(891, 1215, 926, 1250)(893, 1217, 959, 1283)(896, 1220, 955, 1279)(898, 1222, 927, 1251)(900, 1224, 919, 1243)(901, 1225, 934, 1258)(903, 1227, 960, 1284)(908, 1232, 964, 1288)(910, 1234, 963, 1287)(918, 1242, 967, 1291)(941, 1265, 969, 1293)(944, 1268, 965, 1289)(951, 1275, 970, 1294)(956, 1280, 971, 1295)(958, 1282, 972, 1296)(961, 1285, 966, 1290)(962, 1286, 968, 1292)
	L = (1, 652)(2, 655)(3, 658)(4, 661)(5, 649)(6, 665)(7, 668)(8, 650)(9, 672)(10, 675)(11, 651)(12, 669)(13, 681)(14, 683)(15, 653)(16, 686)(17, 689)(18, 654)(19, 662)(20, 695)(21, 697)(22, 656)(23, 700)(24, 703)(25, 657)(26, 704)(27, 709)(28, 711)(29, 659)(30, 714)(31, 660)(32, 715)(33, 663)(34, 692)(35, 723)(36, 725)(37, 727)(38, 730)(39, 664)(40, 731)(41, 736)(42, 738)(43, 666)(44, 741)(45, 667)(46, 742)(47, 670)(48, 678)(49, 750)(50, 752)(51, 754)(52, 757)(53, 671)(54, 676)(55, 763)(56, 765)(57, 673)(58, 768)(59, 674)(60, 769)(61, 677)(62, 760)(63, 777)(64, 779)(65, 781)(66, 784)(67, 786)(68, 679)(69, 789)(70, 680)(71, 790)(72, 795)(73, 682)(74, 684)(75, 743)(76, 799)(77, 804)(78, 806)(79, 809)(80, 685)(81, 690)(82, 815)(83, 817)(84, 687)(85, 820)(86, 688)(87, 821)(88, 691)(89, 812)(90, 829)(91, 831)(92, 833)(93, 836)(94, 838)(95, 693)(96, 841)(97, 694)(98, 842)(99, 847)(100, 696)(101, 698)(102, 716)(103, 851)(104, 856)(105, 857)(106, 860)(107, 699)(108, 861)(109, 864)(110, 827)(111, 701)(112, 867)(113, 702)(114, 837)(115, 705)(116, 706)(117, 873)(118, 874)(119, 875)(120, 808)(121, 840)(122, 707)(123, 819)(124, 708)(125, 879)(126, 830)(127, 710)(128, 712)(129, 868)(130, 885)(131, 887)(132, 863)(133, 890)(134, 713)(135, 834)(136, 850)(137, 717)(138, 839)(139, 843)(140, 893)(141, 894)(142, 845)(143, 718)(144, 897)(145, 719)(146, 899)(147, 849)(148, 720)(149, 901)(150, 721)(151, 818)(152, 722)(153, 852)(154, 828)(155, 724)(156, 853)(157, 905)(158, 908)(159, 726)(160, 909)(161, 912)(162, 775)(163, 728)(164, 915)(165, 729)(166, 785)(167, 732)(168, 733)(169, 921)(170, 922)(171, 923)(172, 756)(173, 788)(174, 734)(175, 767)(176, 735)(177, 927)(178, 778)(179, 737)(180, 739)(181, 916)(182, 933)(183, 935)(184, 911)(185, 938)(186, 740)(187, 782)(188, 798)(189, 744)(190, 787)(191, 791)(192, 941)(193, 942)(194, 793)(195, 745)(196, 945)(197, 746)(198, 947)(199, 797)(200, 747)(201, 949)(202, 748)(203, 766)(204, 749)(205, 800)(206, 776)(207, 751)(208, 801)(209, 953)(210, 753)(211, 758)(212, 955)(213, 920)(214, 755)(215, 924)(216, 759)(217, 794)(218, 937)(219, 907)(220, 761)(221, 762)(222, 956)(223, 934)(224, 764)(225, 770)(226, 952)(227, 959)(228, 926)(229, 771)(230, 914)(231, 958)(232, 772)(233, 936)(234, 773)(235, 774)(236, 913)(237, 950)(238, 932)(239, 951)(240, 961)(241, 780)(242, 939)(243, 783)(244, 925)(245, 928)(246, 917)(247, 792)(248, 954)(249, 943)(250, 929)(251, 919)(252, 796)(253, 948)(254, 960)(255, 802)(256, 803)(257, 963)(258, 805)(259, 810)(260, 965)(261, 872)(262, 807)(263, 876)(264, 811)(265, 846)(266, 889)(267, 859)(268, 813)(269, 814)(270, 966)(271, 886)(272, 816)(273, 822)(274, 904)(275, 969)(276, 878)(277, 823)(278, 866)(279, 968)(280, 824)(281, 888)(282, 825)(283, 826)(284, 865)(285, 902)(286, 884)(287, 903)(288, 971)(289, 832)(290, 891)(291, 835)(292, 877)(293, 880)(294, 869)(295, 844)(296, 964)(297, 895)(298, 881)(299, 871)(300, 848)(301, 900)(302, 970)(303, 854)(304, 855)(305, 896)(306, 858)(307, 862)(308, 882)(309, 972)(310, 870)(311, 892)(312, 883)(313, 967)(314, 898)(315, 944)(316, 906)(317, 910)(318, 930)(319, 962)(320, 918)(321, 940)(322, 931)(323, 957)(324, 946)(325, 973)(326, 974)(327, 975)(328, 976)(329, 977)(330, 978)(331, 979)(332, 980)(333, 981)(334, 982)(335, 983)(336, 984)(337, 985)(338, 986)(339, 987)(340, 988)(341, 989)(342, 990)(343, 991)(344, 992)(345, 993)(346, 994)(347, 995)(348, 996)(349, 997)(350, 998)(351, 999)(352, 1000)(353, 1001)(354, 1002)(355, 1003)(356, 1004)(357, 1005)(358, 1006)(359, 1007)(360, 1008)(361, 1009)(362, 1010)(363, 1011)(364, 1012)(365, 1013)(366, 1014)(367, 1015)(368, 1016)(369, 1017)(370, 1018)(371, 1019)(372, 1020)(373, 1021)(374, 1022)(375, 1023)(376, 1024)(377, 1025)(378, 1026)(379, 1027)(380, 1028)(381, 1029)(382, 1030)(383, 1031)(384, 1032)(385, 1033)(386, 1034)(387, 1035)(388, 1036)(389, 1037)(390, 1038)(391, 1039)(392, 1040)(393, 1041)(394, 1042)(395, 1043)(396, 1044)(397, 1045)(398, 1046)(399, 1047)(400, 1048)(401, 1049)(402, 1050)(403, 1051)(404, 1052)(405, 1053)(406, 1054)(407, 1055)(408, 1056)(409, 1057)(410, 1058)(411, 1059)(412, 1060)(413, 1061)(414, 1062)(415, 1063)(416, 1064)(417, 1065)(418, 1066)(419, 1067)(420, 1068)(421, 1069)(422, 1070)(423, 1071)(424, 1072)(425, 1073)(426, 1074)(427, 1075)(428, 1076)(429, 1077)(430, 1078)(431, 1079)(432, 1080)(433, 1081)(434, 1082)(435, 1083)(436, 1084)(437, 1085)(438, 1086)(439, 1087)(440, 1088)(441, 1089)(442, 1090)(443, 1091)(444, 1092)(445, 1093)(446, 1094)(447, 1095)(448, 1096)(449, 1097)(450, 1098)(451, 1099)(452, 1100)(453, 1101)(454, 1102)(455, 1103)(456, 1104)(457, 1105)(458, 1106)(459, 1107)(460, 1108)(461, 1109)(462, 1110)(463, 1111)(464, 1112)(465, 1113)(466, 1114)(467, 1115)(468, 1116)(469, 1117)(470, 1118)(471, 1119)(472, 1120)(473, 1121)(474, 1122)(475, 1123)(476, 1124)(477, 1125)(478, 1126)(479, 1127)(480, 1128)(481, 1129)(482, 1130)(483, 1131)(484, 1132)(485, 1133)(486, 1134)(487, 1135)(488, 1136)(489, 1137)(490, 1138)(491, 1139)(492, 1140)(493, 1141)(494, 1142)(495, 1143)(496, 1144)(497, 1145)(498, 1146)(499, 1147)(500, 1148)(501, 1149)(502, 1150)(503, 1151)(504, 1152)(505, 1153)(506, 1154)(507, 1155)(508, 1156)(509, 1157)(510, 1158)(511, 1159)(512, 1160)(513, 1161)(514, 1162)(515, 1163)(516, 1164)(517, 1165)(518, 1166)(519, 1167)(520, 1168)(521, 1169)(522, 1170)(523, 1171)(524, 1172)(525, 1173)(526, 1174)(527, 1175)(528, 1176)(529, 1177)(530, 1178)(531, 1179)(532, 1180)(533, 1181)(534, 1182)(535, 1183)(536, 1184)(537, 1185)(538, 1186)(539, 1187)(540, 1188)(541, 1189)(542, 1190)(543, 1191)(544, 1192)(545, 1193)(546, 1194)(547, 1195)(548, 1196)(549, 1197)(550, 1198)(551, 1199)(552, 1200)(553, 1201)(554, 1202)(555, 1203)(556, 1204)(557, 1205)(558, 1206)(559, 1207)(560, 1208)(561, 1209)(562, 1210)(563, 1211)(564, 1212)(565, 1213)(566, 1214)(567, 1215)(568, 1216)(569, 1217)(570, 1218)(571, 1219)(572, 1220)(573, 1221)(574, 1222)(575, 1223)(576, 1224)(577, 1225)(578, 1226)(579, 1227)(580, 1228)(581, 1229)(582, 1230)(583, 1231)(584, 1232)(585, 1233)(586, 1234)(587, 1235)(588, 1236)(589, 1237)(590, 1238)(591, 1239)(592, 1240)(593, 1241)(594, 1242)(595, 1243)(596, 1244)(597, 1245)(598, 1246)(599, 1247)(600, 1248)(601, 1249)(602, 1250)(603, 1251)(604, 1252)(605, 1253)(606, 1254)(607, 1255)(608, 1256)(609, 1257)(610, 1258)(611, 1259)(612, 1260)(613, 1261)(614, 1262)(615, 1263)(616, 1264)(617, 1265)(618, 1266)(619, 1267)(620, 1268)(621, 1269)(622, 1270)(623, 1271)(624, 1272)(625, 1273)(626, 1274)(627, 1275)(628, 1276)(629, 1277)(630, 1278)(631, 1279)(632, 1280)(633, 1281)(634, 1282)(635, 1283)(636, 1284)(637, 1285)(638, 1286)(639, 1287)(640, 1288)(641, 1289)(642, 1290)(643, 1291)(644, 1292)(645, 1293)(646, 1294)(647, 1295)(648, 1296)
	local type(s) :: { ( 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.3197
Graph:: simple bipartite
	v = 324 e = 648 f = 270
	degree seq :: [ 4^324 ]

E28.3197 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = (C3 x (((C3 x C3) : C3) : C2)) : C2 (small group id <324, 124>)
Aut   = $<648, 555>$ (small group id <648, 555>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1^3, (Y3 * Y1)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y3^-2 * R * Y2 * R, (R * Y2 * Y3^-1)^2, Y3^6, Y3^3 * Y1^-1 * Y3 * Y1^-1, Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3^-2, Y1 * Y2 * Y3^3 * Y2 * Y1 * Y3^-1, (Y2 * Y1 * Y2 * R)^2, (Y2 * Y1)^6, (Y2 * Y1 * Y2 * Y1^-1)^3, Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 325, 2, 326, 5, 329)(3, 327, 10, 334, 12, 336)(4, 328, 14, 338, 16, 340)(6, 330, 19, 343, 8, 332)(7, 331, 21, 345, 23, 347)(9, 333, 26, 350, 18, 342)(11, 335, 31, 355, 33, 357)(13, 337, 36, 360, 29, 353)(15, 339, 25, 349, 40, 364)(17, 341, 42, 366, 43, 367)(20, 344, 27, 351, 39, 363)(22, 346, 49, 373, 51, 375)(24, 348, 54, 378, 47, 371)(28, 352, 57, 381, 59, 383)(30, 354, 56, 380, 35, 359)(32, 356, 61, 385, 65, 389)(34, 358, 67, 391, 68, 392)(37, 361, 62, 386, 64, 388)(38, 362, 71, 395, 73, 397)(41, 365, 53, 377, 48, 372)(44, 368, 80, 404, 76, 400)(45, 369, 79, 403, 77, 401)(46, 370, 81, 405, 83, 407)(50, 374, 85, 409, 89, 413)(52, 376, 91, 415, 92, 416)(55, 379, 86, 410, 88, 412)(58, 382, 98, 422, 100, 424)(60, 384, 103, 427, 96, 420)(63, 387, 105, 429, 107, 431)(66, 390, 102, 426, 97, 421)(69, 393, 114, 438, 110, 434)(70, 394, 113, 437, 111, 435)(72, 396, 117, 441, 118, 442)(74, 398, 120, 444, 116, 440)(75, 399, 121, 445, 123, 447)(78, 402, 125, 449, 126, 450)(82, 406, 132, 456, 134, 458)(84, 408, 137, 461, 130, 454)(87, 411, 139, 463, 141, 465)(90, 414, 136, 460, 131, 455)(93, 417, 148, 472, 144, 468)(94, 418, 147, 471, 145, 469)(95, 419, 149, 473, 151, 475)(99, 423, 153, 477, 157, 481)(101, 425, 143, 467, 159, 483)(104, 428, 154, 478, 156, 480)(106, 430, 164, 488, 165, 489)(108, 432, 167, 491, 163, 487)(109, 433, 168, 492, 170, 494)(112, 436, 172, 496, 129, 453)(115, 439, 175, 499, 177, 501)(119, 443, 180, 504, 181, 505)(122, 446, 185, 509, 186, 510)(124, 448, 187, 511, 184, 508)(127, 451, 192, 516, 189, 513)(128, 452, 191, 515, 190, 514)(133, 457, 195, 519, 199, 523)(135, 459, 188, 512, 201, 525)(138, 462, 196, 520, 198, 522)(140, 464, 206, 530, 207, 531)(142, 466, 209, 533, 205, 529)(146, 470, 212, 536, 183, 507)(150, 474, 217, 541, 219, 543)(152, 476, 222, 546, 215, 539)(155, 479, 224, 548, 208, 532)(158, 482, 221, 545, 216, 540)(160, 484, 229, 553, 210, 534)(161, 485, 228, 552, 211, 535)(162, 486, 194, 518, 231, 555)(166, 490, 234, 558, 235, 559)(169, 493, 239, 563, 240, 564)(171, 495, 241, 565, 238, 562)(173, 497, 200, 524, 243, 567)(174, 498, 193, 517, 244, 568)(176, 500, 246, 570, 247, 571)(178, 502, 250, 574, 251, 575)(179, 503, 249, 573, 245, 569)(182, 506, 254, 578, 252, 576)(197, 521, 261, 585, 248, 572)(202, 526, 266, 590, 257, 581)(203, 527, 265, 589, 258, 582)(204, 528, 255, 579, 268, 592)(213, 537, 256, 580, 273, 597)(214, 538, 253, 577, 274, 598)(218, 542, 275, 599, 279, 603)(220, 544, 242, 566, 272, 596)(223, 547, 276, 600, 278, 602)(225, 549, 271, 595, 284, 608)(226, 550, 269, 593, 283, 607)(227, 551, 264, 588, 237, 561)(230, 554, 287, 611, 259, 583)(232, 556, 290, 614, 291, 615)(233, 557, 289, 613, 260, 584)(236, 560, 294, 618, 292, 616)(262, 586, 300, 624, 305, 629)(263, 587, 299, 623, 304, 628)(267, 591, 308, 632, 301, 625)(270, 594, 310, 634, 302, 626)(277, 601, 312, 636, 288, 612)(280, 604, 309, 633, 297, 621)(281, 605, 311, 635, 298, 622)(282, 606, 295, 619, 307, 631)(285, 609, 296, 620, 303, 627)(286, 610, 293, 617, 306, 630)(313, 637, 318, 642, 324, 648)(314, 638, 317, 641, 323, 647)(315, 639, 321, 645, 319, 643)(316, 640, 322, 646, 320, 644)(649, 973, 651, 975)(650, 974, 655, 979)(652, 976, 661, 985)(653, 977, 665, 989)(654, 978, 659, 983)(656, 980, 672, 996)(657, 981, 670, 994)(658, 982, 676, 1000)(660, 984, 682, 1006)(662, 986, 686, 1010)(663, 987, 685, 1009)(664, 988, 689, 1013)(666, 990, 692, 1016)(667, 991, 693, 1017)(668, 992, 680, 1004)(669, 993, 694, 1018)(671, 995, 700, 1024)(673, 997, 703, 1027)(674, 998, 704, 1028)(675, 999, 698, 1022)(677, 1001, 708, 1032)(678, 1002, 706, 1030)(679, 1003, 711, 1035)(681, 1005, 714, 1038)(683, 1007, 717, 1041)(684, 1008, 718, 1042)(687, 1011, 720, 1044)(688, 1012, 722, 1046)(690, 1014, 723, 1047)(691, 1015, 726, 1050)(695, 1019, 732, 1056)(696, 1020, 730, 1054)(697, 1021, 735, 1059)(699, 1023, 738, 1062)(701, 1025, 741, 1065)(702, 1026, 742, 1066)(705, 1029, 743, 1067)(707, 1031, 749, 1073)(709, 1033, 752, 1076)(710, 1034, 747, 1071)(712, 1036, 754, 1078)(713, 1037, 756, 1080)(715, 1039, 757, 1081)(716, 1040, 760, 1084)(719, 1043, 763, 1087)(721, 1045, 767, 1091)(724, 1048, 772, 1096)(725, 1049, 770, 1094)(727, 1051, 775, 1099)(728, 1052, 776, 1100)(729, 1053, 777, 1101)(731, 1055, 783, 1107)(733, 1057, 786, 1110)(734, 1058, 781, 1105)(736, 1060, 788, 1112)(737, 1061, 790, 1114)(739, 1063, 791, 1115)(740, 1064, 794, 1118)(744, 1068, 800, 1124)(745, 1069, 798, 1122)(746, 1070, 803, 1127)(748, 1072, 806, 1130)(750, 1074, 808, 1132)(751, 1075, 809, 1133)(753, 1077, 810, 1134)(755, 1079, 814, 1138)(758, 1082, 819, 1143)(759, 1083, 817, 1141)(761, 1085, 821, 1145)(762, 1086, 822, 1146)(764, 1088, 824, 1148)(765, 1089, 826, 1150)(766, 1090, 827, 1151)(768, 1092, 830, 1154)(769, 1093, 831, 1155)(771, 1095, 818, 1142)(773, 1097, 836, 1160)(774, 1098, 797, 1121)(778, 1102, 842, 1166)(779, 1103, 841, 1165)(780, 1104, 845, 1169)(782, 1106, 848, 1172)(784, 1108, 850, 1174)(785, 1109, 851, 1175)(787, 1111, 852, 1176)(789, 1113, 856, 1180)(792, 1116, 859, 1183)(793, 1117, 858, 1182)(795, 1119, 861, 1185)(796, 1120, 862, 1186)(799, 1123, 868, 1192)(801, 1125, 871, 1195)(802, 1126, 866, 1190)(804, 1128, 873, 1197)(805, 1129, 874, 1198)(807, 1131, 875, 1199)(811, 1135, 878, 1202)(812, 1136, 880, 1204)(813, 1137, 881, 1205)(815, 1139, 884, 1208)(816, 1140, 885, 1209)(820, 1144, 890, 1214)(823, 1147, 863, 1187)(825, 1149, 896, 1220)(828, 1152, 887, 1211)(829, 1153, 901, 1225)(832, 1156, 903, 1227)(833, 1157, 882, 1206)(834, 1158, 904, 1228)(835, 1159, 889, 1213)(837, 1161, 906, 1230)(838, 1162, 905, 1229)(839, 1163, 864, 1188)(840, 1164, 867, 1191)(843, 1167, 908, 1232)(844, 1168, 907, 1231)(846, 1170, 910, 1234)(847, 1171, 911, 1235)(849, 1173, 912, 1236)(853, 1177, 915, 1239)(854, 1178, 917, 1241)(855, 1179, 918, 1242)(857, 1181, 919, 1243)(860, 1184, 920, 1244)(865, 1189, 925, 1249)(869, 1193, 928, 1252)(870, 1194, 929, 1253)(872, 1196, 930, 1254)(876, 1200, 933, 1257)(877, 1201, 934, 1258)(879, 1203, 936, 1260)(883, 1207, 941, 1265)(886, 1210, 943, 1267)(888, 1212, 944, 1268)(891, 1215, 946, 1270)(892, 1216, 945, 1269)(893, 1217, 923, 1247)(894, 1218, 947, 1271)(895, 1219, 924, 1248)(897, 1221, 948, 1272)(898, 1222, 949, 1273)(899, 1223, 940, 1264)(900, 1224, 939, 1263)(902, 1226, 950, 1274)(909, 1233, 951, 1275)(913, 1237, 954, 1278)(914, 1238, 955, 1279)(916, 1240, 957, 1281)(921, 1245, 960, 1284)(922, 1246, 959, 1283)(926, 1250, 961, 1285)(927, 1251, 962, 1286)(931, 1255, 963, 1287)(932, 1256, 964, 1288)(935, 1259, 965, 1289)(937, 1261, 966, 1290)(938, 1262, 967, 1291)(942, 1266, 968, 1292)(952, 1276, 969, 1293)(953, 1277, 970, 1294)(956, 1280, 971, 1295)(958, 1282, 972, 1296)
	L = (1, 652)(2, 656)(3, 659)(4, 663)(5, 666)(6, 649)(7, 670)(8, 673)(9, 650)(10, 677)(11, 680)(12, 683)(13, 651)(14, 653)(15, 674)(16, 675)(17, 686)(18, 688)(19, 687)(20, 654)(21, 695)(22, 698)(23, 701)(24, 655)(25, 664)(26, 668)(27, 657)(28, 706)(29, 709)(30, 658)(31, 660)(32, 704)(33, 710)(34, 711)(35, 713)(36, 712)(37, 661)(38, 720)(39, 662)(40, 667)(41, 703)(42, 724)(43, 727)(44, 665)(45, 722)(46, 730)(47, 733)(48, 669)(49, 671)(50, 689)(51, 734)(52, 735)(53, 737)(54, 736)(55, 672)(56, 685)(57, 744)(58, 747)(59, 750)(60, 676)(61, 681)(62, 678)(63, 754)(64, 679)(65, 684)(66, 752)(67, 758)(68, 761)(69, 682)(70, 756)(71, 691)(72, 693)(73, 768)(74, 692)(75, 770)(76, 765)(77, 690)(78, 763)(79, 766)(80, 764)(81, 778)(82, 781)(83, 784)(84, 694)(85, 699)(86, 696)(87, 788)(88, 697)(89, 702)(90, 786)(91, 792)(92, 795)(93, 700)(94, 790)(95, 798)(96, 801)(97, 705)(98, 707)(99, 714)(100, 802)(101, 803)(102, 805)(103, 804)(104, 708)(105, 716)(106, 718)(107, 815)(108, 717)(109, 817)(110, 812)(111, 715)(112, 810)(113, 813)(114, 811)(115, 824)(116, 719)(117, 721)(118, 728)(119, 826)(120, 725)(121, 832)(122, 830)(123, 828)(124, 723)(125, 837)(126, 839)(127, 726)(128, 827)(129, 841)(130, 843)(131, 729)(132, 731)(133, 738)(134, 844)(135, 845)(136, 847)(137, 846)(138, 732)(139, 740)(140, 742)(141, 857)(142, 741)(143, 858)(144, 854)(145, 739)(146, 852)(147, 855)(148, 853)(149, 863)(150, 866)(151, 869)(152, 743)(153, 748)(154, 745)(155, 873)(156, 746)(157, 751)(158, 871)(159, 876)(160, 749)(161, 874)(162, 878)(163, 753)(164, 755)(165, 762)(166, 880)(167, 759)(168, 886)(169, 884)(170, 882)(171, 757)(172, 891)(173, 760)(174, 881)(175, 774)(176, 776)(177, 897)(178, 772)(179, 775)(180, 900)(181, 769)(182, 767)(183, 901)(184, 902)(185, 771)(186, 898)(187, 899)(188, 905)(189, 894)(190, 773)(191, 895)(192, 893)(193, 907)(194, 777)(195, 782)(196, 779)(197, 910)(198, 780)(199, 785)(200, 908)(201, 913)(202, 783)(203, 911)(204, 915)(205, 787)(206, 789)(207, 796)(208, 917)(209, 793)(210, 919)(211, 791)(212, 921)(213, 794)(214, 918)(215, 923)(216, 797)(217, 799)(218, 806)(219, 924)(220, 925)(221, 927)(222, 926)(223, 800)(224, 807)(225, 809)(226, 808)(227, 930)(228, 932)(229, 931)(230, 822)(231, 937)(232, 819)(233, 821)(234, 940)(235, 816)(236, 814)(237, 941)(238, 942)(239, 818)(240, 938)(241, 939)(242, 945)(243, 935)(244, 820)(245, 823)(246, 825)(247, 840)(248, 947)(249, 838)(250, 829)(251, 833)(252, 835)(253, 949)(254, 834)(255, 831)(256, 950)(257, 948)(258, 836)(259, 848)(260, 842)(261, 849)(262, 851)(263, 850)(264, 951)(265, 953)(266, 952)(267, 862)(268, 958)(269, 859)(270, 861)(271, 856)(272, 959)(273, 956)(274, 860)(275, 867)(276, 864)(277, 961)(278, 865)(279, 870)(280, 868)(281, 962)(282, 963)(283, 872)(284, 877)(285, 875)(286, 964)(287, 879)(288, 965)(289, 892)(290, 883)(291, 887)(292, 889)(293, 967)(294, 888)(295, 885)(296, 968)(297, 966)(298, 890)(299, 906)(300, 896)(301, 904)(302, 903)(303, 969)(304, 909)(305, 914)(306, 912)(307, 970)(308, 916)(309, 971)(310, 922)(311, 972)(312, 920)(313, 929)(314, 928)(315, 934)(316, 933)(317, 946)(318, 936)(319, 944)(320, 943)(321, 955)(322, 954)(323, 960)(324, 957)(325, 973)(326, 974)(327, 975)(328, 976)(329, 977)(330, 978)(331, 979)(332, 980)(333, 981)(334, 982)(335, 983)(336, 984)(337, 985)(338, 986)(339, 987)(340, 988)(341, 989)(342, 990)(343, 991)(344, 992)(345, 993)(346, 994)(347, 995)(348, 996)(349, 997)(350, 998)(351, 999)(352, 1000)(353, 1001)(354, 1002)(355, 1003)(356, 1004)(357, 1005)(358, 1006)(359, 1007)(360, 1008)(361, 1009)(362, 1010)(363, 1011)(364, 1012)(365, 1013)(366, 1014)(367, 1015)(368, 1016)(369, 1017)(370, 1018)(371, 1019)(372, 1020)(373, 1021)(374, 1022)(375, 1023)(376, 1024)(377, 1025)(378, 1026)(379, 1027)(380, 1028)(381, 1029)(382, 1030)(383, 1031)(384, 1032)(385, 1033)(386, 1034)(387, 1035)(388, 1036)(389, 1037)(390, 1038)(391, 1039)(392, 1040)(393, 1041)(394, 1042)(395, 1043)(396, 1044)(397, 1045)(398, 1046)(399, 1047)(400, 1048)(401, 1049)(402, 1050)(403, 1051)(404, 1052)(405, 1053)(406, 1054)(407, 1055)(408, 1056)(409, 1057)(410, 1058)(411, 1059)(412, 1060)(413, 1061)(414, 1062)(415, 1063)(416, 1064)(417, 1065)(418, 1066)(419, 1067)(420, 1068)(421, 1069)(422, 1070)(423, 1071)(424, 1072)(425, 1073)(426, 1074)(427, 1075)(428, 1076)(429, 1077)(430, 1078)(431, 1079)(432, 1080)(433, 1081)(434, 1082)(435, 1083)(436, 1084)(437, 1085)(438, 1086)(439, 1087)(440, 1088)(441, 1089)(442, 1090)(443, 1091)(444, 1092)(445, 1093)(446, 1094)(447, 1095)(448, 1096)(449, 1097)(450, 1098)(451, 1099)(452, 1100)(453, 1101)(454, 1102)(455, 1103)(456, 1104)(457, 1105)(458, 1106)(459, 1107)(460, 1108)(461, 1109)(462, 1110)(463, 1111)(464, 1112)(465, 1113)(466, 1114)(467, 1115)(468, 1116)(469, 1117)(470, 1118)(471, 1119)(472, 1120)(473, 1121)(474, 1122)(475, 1123)(476, 1124)(477, 1125)(478, 1126)(479, 1127)(480, 1128)(481, 1129)(482, 1130)(483, 1131)(484, 1132)(485, 1133)(486, 1134)(487, 1135)(488, 1136)(489, 1137)(490, 1138)(491, 1139)(492, 1140)(493, 1141)(494, 1142)(495, 1143)(496, 1144)(497, 1145)(498, 1146)(499, 1147)(500, 1148)(501, 1149)(502, 1150)(503, 1151)(504, 1152)(505, 1153)(506, 1154)(507, 1155)(508, 1156)(509, 1157)(510, 1158)(511, 1159)(512, 1160)(513, 1161)(514, 1162)(515, 1163)(516, 1164)(517, 1165)(518, 1166)(519, 1167)(520, 1168)(521, 1169)(522, 1170)(523, 1171)(524, 1172)(525, 1173)(526, 1174)(527, 1175)(528, 1176)(529, 1177)(530, 1178)(531, 1179)(532, 1180)(533, 1181)(534, 1182)(535, 1183)(536, 1184)(537, 1185)(538, 1186)(539, 1187)(540, 1188)(541, 1189)(542, 1190)(543, 1191)(544, 1192)(545, 1193)(546, 1194)(547, 1195)(548, 1196)(549, 1197)(550, 1198)(551, 1199)(552, 1200)(553, 1201)(554, 1202)(555, 1203)(556, 1204)(557, 1205)(558, 1206)(559, 1207)(560, 1208)(561, 1209)(562, 1210)(563, 1211)(564, 1212)(565, 1213)(566, 1214)(567, 1215)(568, 1216)(569, 1217)(570, 1218)(571, 1219)(572, 1220)(573, 1221)(574, 1222)(575, 1223)(576, 1224)(577, 1225)(578, 1226)(579, 1227)(580, 1228)(581, 1229)(582, 1230)(583, 1231)(584, 1232)(585, 1233)(586, 1234)(587, 1235)(588, 1236)(589, 1237)(590, 1238)(591, 1239)(592, 1240)(593, 1241)(594, 1242)(595, 1243)(596, 1244)(597, 1245)(598, 1246)(599, 1247)(600, 1248)(601, 1249)(602, 1250)(603, 1251)(604, 1252)(605, 1253)(606, 1254)(607, 1255)(608, 1256)(609, 1257)(610, 1258)(611, 1259)(612, 1260)(613, 1261)(614, 1262)(615, 1263)(616, 1264)(617, 1265)(618, 1266)(619, 1267)(620, 1268)(621, 1269)(622, 1270)(623, 1271)(624, 1272)(625, 1273)(626, 1274)(627, 1275)(628, 1276)(629, 1277)(630, 1278)(631, 1279)(632, 1280)(633, 1281)(634, 1282)(635, 1283)(636, 1284)(637, 1285)(638, 1286)(639, 1287)(640, 1288)(641, 1289)(642, 1290)(643, 1291)(644, 1292)(645, 1293)(646, 1294)(647, 1295)(648, 1296)
	local type(s) :: { ( 4^4 ), ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E28.3196
Graph:: simple bipartite
	v = 270 e = 648 f = 324
	degree seq :: [ 4^162, 6^108 ]

E28.3198 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 4})
Quotient :: edge
Aut^+ = (C3 x ((C3 x C3) : C3)) : C4 (small group id <324, 113>)
Aut   = $<648, 545>$ (small group id <648, 545>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^4, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^4, T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2^2 * T1 * T2^-1 * T1 * T2^-1, T2 * T1^-1 * T2^-1 * T1 * T2^-2 * T1^-1 * T2 * T1^-1 * T2 * T1, T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1^-1 * T2^-2 * T1^-1, (T2 * T1^-1 * T2^-1 * T1^-1)^3, T2^-1 * T1^2 * T2^-2 * T1^-1 * T2^2 * T1 * T2^2 * T1 * T2^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 9, 5)(2, 6, 16, 7)(4, 11, 27, 12)(8, 20, 46, 21)(10, 24, 55, 25)(13, 31, 69, 32)(14, 33, 74, 34)(15, 35, 77, 36)(17, 39, 85, 40)(18, 41, 90, 42)(19, 43, 95, 44)(22, 50, 108, 51)(23, 52, 113, 53)(26, 59, 126, 60)(28, 63, 134, 64)(29, 65, 139, 66)(30, 67, 98, 45)(37, 80, 169, 81)(38, 82, 173, 83)(47, 101, 198, 102)(48, 103, 200, 104)(49, 105, 203, 106)(54, 117, 217, 118)(56, 121, 140, 122)(57, 123, 141, 124)(58, 125, 205, 107)(61, 129, 206, 130)(62, 131, 212, 132)(68, 116, 216, 145)(70, 148, 86, 149)(71, 150, 87, 151)(72, 152, 252, 153)(73, 154, 253, 155)(75, 158, 254, 159)(76, 160, 256, 161)(78, 164, 261, 165)(79, 166, 263, 167)(84, 176, 273, 177)(88, 179, 265, 168)(89, 175, 272, 180)(91, 182, 135, 183)(92, 184, 136, 185)(93, 186, 210, 111)(94, 110, 209, 187)(96, 190, 283, 191)(97, 119, 219, 147)(99, 194, 146, 195)(100, 196, 156, 197)(109, 207, 248, 208)(112, 211, 238, 133)(114, 128, 226, 213)(115, 214, 227, 215)(120, 220, 157, 221)(127, 232, 304, 233)(137, 199, 292, 234)(138, 237, 302, 240)(142, 242, 269, 172)(143, 171, 268, 243)(144, 244, 298, 245)(162, 257, 181, 258)(163, 259, 188, 260)(170, 266, 279, 267)(174, 270, 250, 271)(178, 275, 189, 276)(192, 285, 231, 286)(193, 287, 239, 288)(201, 294, 222, 295)(202, 296, 223, 297)(204, 300, 255, 301)(218, 305, 251, 306)(224, 303, 235, 307)(225, 309, 246, 310)(228, 311, 315, 291)(229, 290, 249, 312)(230, 289, 241, 313)(236, 299, 281, 293)(247, 308, 262, 316)(264, 318, 284, 319)(274, 320, 282, 321)(277, 317, 280, 323)(278, 322, 314, 324)(325, 326, 328)(327, 332, 334)(329, 337, 338)(330, 339, 341)(331, 342, 343)(333, 346, 347)(335, 350, 352)(336, 353, 354)(340, 361, 362)(344, 369, 371)(345, 372, 373)(348, 378, 380)(349, 381, 382)(351, 385, 386)(355, 392, 394)(356, 395, 396)(357, 397, 399)(358, 400, 359)(360, 402, 403)(363, 408, 410)(364, 411, 412)(365, 413, 415)(366, 416, 417)(367, 418, 420)(368, 421, 383)(370, 423, 424)(374, 431, 433)(375, 434, 435)(376, 436, 438)(377, 439, 440)(379, 443, 444)(384, 451, 452)(387, 457, 459)(388, 460, 461)(389, 462, 464)(390, 465, 466)(391, 467, 468)(393, 470, 471)(398, 480, 481)(401, 486, 487)(404, 492, 494)(405, 495, 496)(406, 441, 430)(407, 498, 499)(409, 425, 502)(414, 505, 426)(419, 512, 513)(422, 516, 517)(427, 523, 525)(428, 526, 476)(429, 475, 528)(432, 493, 530)(437, 497, 536)(442, 542, 482)(445, 479, 546)(446, 547, 548)(447, 549, 550)(448, 551, 552)(449, 553, 488)(450, 554, 555)(453, 558, 559)(454, 478, 477)(455, 500, 491)(456, 560, 561)(458, 484, 563)(463, 565, 485)(469, 569, 570)(472, 571, 572)(473, 511, 573)(474, 574, 575)(483, 579, 504)(489, 586, 510)(490, 509, 588)(501, 598, 514)(503, 601, 556)(506, 602, 603)(507, 567, 604)(508, 605, 606)(515, 608, 564)(518, 581, 613)(519, 614, 615)(520, 535, 534)(521, 596, 616)(522, 531, 617)(524, 592, 532)(527, 622, 623)(529, 584, 626)(533, 627, 628)(537, 607, 594)(538, 587, 578)(539, 580, 590)(540, 589, 609)(541, 593, 583)(543, 631, 595)(544, 599, 612)(545, 632, 633)(557, 638, 566)(562, 639, 568)(576, 610, 597)(577, 591, 585)(582, 641, 629)(600, 646, 624)(611, 621, 642)(618, 644, 637)(619, 636, 647)(620, 640, 648)(625, 643, 634)(630, 645, 635)
	L = (1, 325)(2, 326)(3, 327)(4, 328)(5, 329)(6, 330)(7, 331)(8, 332)(9, 333)(10, 334)(11, 335)(12, 336)(13, 337)(14, 338)(15, 339)(16, 340)(17, 341)(18, 342)(19, 343)(20, 344)(21, 345)(22, 346)(23, 347)(24, 348)(25, 349)(26, 350)(27, 351)(28, 352)(29, 353)(30, 354)(31, 355)(32, 356)(33, 357)(34, 358)(35, 359)(36, 360)(37, 361)(38, 362)(39, 363)(40, 364)(41, 365)(42, 366)(43, 367)(44, 368)(45, 369)(46, 370)(47, 371)(48, 372)(49, 373)(50, 374)(51, 375)(52, 376)(53, 377)(54, 378)(55, 379)(56, 380)(57, 381)(58, 382)(59, 383)(60, 384)(61, 385)(62, 386)(63, 387)(64, 388)(65, 389)(66, 390)(67, 391)(68, 392)(69, 393)(70, 394)(71, 395)(72, 396)(73, 397)(74, 398)(75, 399)(76, 400)(77, 401)(78, 402)(79, 403)(80, 404)(81, 405)(82, 406)(83, 407)(84, 408)(85, 409)(86, 410)(87, 411)(88, 412)(89, 413)(90, 414)(91, 415)(92, 416)(93, 417)(94, 418)(95, 419)(96, 420)(97, 421)(98, 422)(99, 423)(100, 424)(101, 425)(102, 426)(103, 427)(104, 428)(105, 429)(106, 430)(107, 431)(108, 432)(109, 433)(110, 434)(111, 435)(112, 436)(113, 437)(114, 438)(115, 439)(116, 440)(117, 441)(118, 442)(119, 443)(120, 444)(121, 445)(122, 446)(123, 447)(124, 448)(125, 449)(126, 450)(127, 451)(128, 452)(129, 453)(130, 454)(131, 455)(132, 456)(133, 457)(134, 458)(135, 459)(136, 460)(137, 461)(138, 462)(139, 463)(140, 464)(141, 465)(142, 466)(143, 467)(144, 468)(145, 469)(146, 470)(147, 471)(148, 472)(149, 473)(150, 474)(151, 475)(152, 476)(153, 477)(154, 478)(155, 479)(156, 480)(157, 481)(158, 482)(159, 483)(160, 484)(161, 485)(162, 486)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 8^3 ), ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E28.3199
Transitivity :: ET+
Graph:: simple bipartite
	v = 189 e = 324 f = 81
	degree seq :: [ 3^108, 4^81 ]

E28.3199 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 4})
Quotient :: loop
Aut^+ = (C3 x ((C3 x C3) : C3)) : C4 (small group id <324, 113>)
Aut   = $<648, 545>$ (small group id <648, 545>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^4, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^4, T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2^2 * T1 * T2^-1 * T1 * T2^-1, T2 * T1^-1 * T2^-1 * T1 * T2^-2 * T1^-1 * T2 * T1^-1 * T2 * T1, T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1^-1 * T2^-2 * T1^-1, (T2 * T1^-1 * T2^-1 * T1^-1)^3, T2^-1 * T1^2 * T2^-2 * T1^-1 * T2^2 * T1 * T2^2 * T1 * T2^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 325, 3, 327, 9, 333, 5, 329)(2, 326, 6, 330, 16, 340, 7, 331)(4, 328, 11, 335, 27, 351, 12, 336)(8, 332, 20, 344, 46, 370, 21, 345)(10, 334, 24, 348, 55, 379, 25, 349)(13, 337, 31, 355, 69, 393, 32, 356)(14, 338, 33, 357, 74, 398, 34, 358)(15, 339, 35, 359, 77, 401, 36, 360)(17, 341, 39, 363, 85, 409, 40, 364)(18, 342, 41, 365, 90, 414, 42, 366)(19, 343, 43, 367, 95, 419, 44, 368)(22, 346, 50, 374, 108, 432, 51, 375)(23, 347, 52, 376, 113, 437, 53, 377)(26, 350, 59, 383, 126, 450, 60, 384)(28, 352, 63, 387, 134, 458, 64, 388)(29, 353, 65, 389, 139, 463, 66, 390)(30, 354, 67, 391, 98, 422, 45, 369)(37, 361, 80, 404, 169, 493, 81, 405)(38, 362, 82, 406, 173, 497, 83, 407)(47, 371, 101, 425, 198, 522, 102, 426)(48, 372, 103, 427, 200, 524, 104, 428)(49, 373, 105, 429, 203, 527, 106, 430)(54, 378, 117, 441, 217, 541, 118, 442)(56, 380, 121, 445, 140, 464, 122, 446)(57, 381, 123, 447, 141, 465, 124, 448)(58, 382, 125, 449, 205, 529, 107, 431)(61, 385, 129, 453, 206, 530, 130, 454)(62, 386, 131, 455, 212, 536, 132, 456)(68, 392, 116, 440, 216, 540, 145, 469)(70, 394, 148, 472, 86, 410, 149, 473)(71, 395, 150, 474, 87, 411, 151, 475)(72, 396, 152, 476, 252, 576, 153, 477)(73, 397, 154, 478, 253, 577, 155, 479)(75, 399, 158, 482, 254, 578, 159, 483)(76, 400, 160, 484, 256, 580, 161, 485)(78, 402, 164, 488, 261, 585, 165, 489)(79, 403, 166, 490, 263, 587, 167, 491)(84, 408, 176, 500, 273, 597, 177, 501)(88, 412, 179, 503, 265, 589, 168, 492)(89, 413, 175, 499, 272, 596, 180, 504)(91, 415, 182, 506, 135, 459, 183, 507)(92, 416, 184, 508, 136, 460, 185, 509)(93, 417, 186, 510, 210, 534, 111, 435)(94, 418, 110, 434, 209, 533, 187, 511)(96, 420, 190, 514, 283, 607, 191, 515)(97, 421, 119, 443, 219, 543, 147, 471)(99, 423, 194, 518, 146, 470, 195, 519)(100, 424, 196, 520, 156, 480, 197, 521)(109, 433, 207, 531, 248, 572, 208, 532)(112, 436, 211, 535, 238, 562, 133, 457)(114, 438, 128, 452, 226, 550, 213, 537)(115, 439, 214, 538, 227, 551, 215, 539)(120, 444, 220, 544, 157, 481, 221, 545)(127, 451, 232, 556, 304, 628, 233, 557)(137, 461, 199, 523, 292, 616, 234, 558)(138, 462, 237, 561, 302, 626, 240, 564)(142, 466, 242, 566, 269, 593, 172, 496)(143, 467, 171, 495, 268, 592, 243, 567)(144, 468, 244, 568, 298, 622, 245, 569)(162, 486, 257, 581, 181, 505, 258, 582)(163, 487, 259, 583, 188, 512, 260, 584)(170, 494, 266, 590, 279, 603, 267, 591)(174, 498, 270, 594, 250, 574, 271, 595)(178, 502, 275, 599, 189, 513, 276, 600)(192, 516, 285, 609, 231, 555, 286, 610)(193, 517, 287, 611, 239, 563, 288, 612)(201, 525, 294, 618, 222, 546, 295, 619)(202, 526, 296, 620, 223, 547, 297, 621)(204, 528, 300, 624, 255, 579, 301, 625)(218, 542, 305, 629, 251, 575, 306, 630)(224, 548, 303, 627, 235, 559, 307, 631)(225, 549, 309, 633, 246, 570, 310, 634)(228, 552, 311, 635, 315, 639, 291, 615)(229, 553, 290, 614, 249, 573, 312, 636)(230, 554, 289, 613, 241, 565, 313, 637)(236, 560, 299, 623, 281, 605, 293, 617)(247, 571, 308, 632, 262, 586, 316, 640)(264, 588, 318, 642, 284, 608, 319, 643)(274, 598, 320, 644, 282, 606, 321, 645)(277, 601, 317, 641, 280, 604, 323, 647)(278, 602, 322, 646, 314, 638, 324, 648)
	L = (1, 326)(2, 328)(3, 332)(4, 325)(5, 337)(6, 339)(7, 342)(8, 334)(9, 346)(10, 327)(11, 350)(12, 353)(13, 338)(14, 329)(15, 341)(16, 361)(17, 330)(18, 343)(19, 331)(20, 369)(21, 372)(22, 347)(23, 333)(24, 378)(25, 381)(26, 352)(27, 385)(28, 335)(29, 354)(30, 336)(31, 392)(32, 395)(33, 397)(34, 400)(35, 358)(36, 402)(37, 362)(38, 340)(39, 408)(40, 411)(41, 413)(42, 416)(43, 418)(44, 421)(45, 371)(46, 423)(47, 344)(48, 373)(49, 345)(50, 431)(51, 434)(52, 436)(53, 439)(54, 380)(55, 443)(56, 348)(57, 382)(58, 349)(59, 368)(60, 451)(61, 386)(62, 351)(63, 457)(64, 460)(65, 462)(66, 465)(67, 467)(68, 394)(69, 470)(70, 355)(71, 396)(72, 356)(73, 399)(74, 480)(75, 357)(76, 359)(77, 486)(78, 403)(79, 360)(80, 492)(81, 495)(82, 441)(83, 498)(84, 410)(85, 425)(86, 363)(87, 412)(88, 364)(89, 415)(90, 505)(91, 365)(92, 417)(93, 366)(94, 420)(95, 512)(96, 367)(97, 383)(98, 516)(99, 424)(100, 370)(101, 502)(102, 414)(103, 523)(104, 526)(105, 475)(106, 406)(107, 433)(108, 493)(109, 374)(110, 435)(111, 375)(112, 438)(113, 497)(114, 376)(115, 440)(116, 377)(117, 430)(118, 542)(119, 444)(120, 379)(121, 479)(122, 547)(123, 549)(124, 551)(125, 553)(126, 554)(127, 452)(128, 384)(129, 558)(130, 478)(131, 500)(132, 560)(133, 459)(134, 484)(135, 387)(136, 461)(137, 388)(138, 464)(139, 565)(140, 389)(141, 466)(142, 390)(143, 468)(144, 391)(145, 569)(146, 471)(147, 393)(148, 571)(149, 511)(150, 574)(151, 528)(152, 428)(153, 454)(154, 477)(155, 546)(156, 481)(157, 398)(158, 442)(159, 579)(160, 563)(161, 463)(162, 487)(163, 401)(164, 449)(165, 586)(166, 509)(167, 455)(168, 494)(169, 530)(170, 404)(171, 496)(172, 405)(173, 536)(174, 499)(175, 407)(176, 491)(177, 598)(178, 409)(179, 601)(180, 483)(181, 426)(182, 602)(183, 567)(184, 605)(185, 588)(186, 489)(187, 573)(188, 513)(189, 419)(190, 501)(191, 608)(192, 517)(193, 422)(194, 581)(195, 614)(196, 535)(197, 596)(198, 531)(199, 525)(200, 592)(201, 427)(202, 476)(203, 622)(204, 429)(205, 584)(206, 432)(207, 617)(208, 524)(209, 627)(210, 520)(211, 534)(212, 437)(213, 607)(214, 587)(215, 580)(216, 589)(217, 593)(218, 482)(219, 631)(220, 599)(221, 632)(222, 445)(223, 548)(224, 446)(225, 550)(226, 447)(227, 552)(228, 448)(229, 488)(230, 555)(231, 450)(232, 503)(233, 638)(234, 559)(235, 453)(236, 561)(237, 456)(238, 639)(239, 458)(240, 515)(241, 485)(242, 557)(243, 604)(244, 562)(245, 570)(246, 469)(247, 572)(248, 472)(249, 473)(250, 575)(251, 474)(252, 610)(253, 591)(254, 538)(255, 504)(256, 590)(257, 613)(258, 641)(259, 541)(260, 626)(261, 577)(262, 510)(263, 578)(264, 490)(265, 609)(266, 539)(267, 585)(268, 532)(269, 583)(270, 537)(271, 543)(272, 616)(273, 576)(274, 514)(275, 612)(276, 646)(277, 556)(278, 603)(279, 506)(280, 507)(281, 606)(282, 508)(283, 594)(284, 564)(285, 540)(286, 597)(287, 621)(288, 544)(289, 518)(290, 615)(291, 519)(292, 521)(293, 522)(294, 644)(295, 636)(296, 640)(297, 642)(298, 623)(299, 527)(300, 600)(301, 643)(302, 529)(303, 628)(304, 533)(305, 582)(306, 645)(307, 595)(308, 633)(309, 545)(310, 625)(311, 630)(312, 647)(313, 618)(314, 566)(315, 568)(316, 648)(317, 629)(318, 611)(319, 634)(320, 637)(321, 635)(322, 624)(323, 619)(324, 620)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.3198
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 81 e = 324 f = 189
	degree seq :: [ 8^81 ]

E28.3200 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4})
Quotient :: dipole
Aut^+ = (C3 x ((C3 x C3) : C3)) : C4 (small group id <324, 113>)
Aut   = $<648, 545>$ (small group id <648, 545>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y1^3, Y3^2 * Y1^-1, (R * Y3)^2, Y2^4, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y2 * Y1, (Y3 * Y2^-1)^4, Y2^4 * Y1^-1 * Y2^4 * Y1, Y3 * Y2^-1 * Y1 * Y2 * Y3 * Y2^2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y3 * Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^2, Y1 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y1^-1 * Y2^2, Y1 * Y2 * Y3 * Y2^-1 * Y1 * Y2^-2 * Y1^-1 * Y2 * Y1^-1 * Y2, Y1 * Y2 * Y3 * Y2^-2 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1, Y1 * Y2^-2 * Y3 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y2^-2 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-2, Y3 * Y2^-2 * Y1 * Y2^-2 * Y3^-1 * Y2^-2 * Y1^-1 * Y2^-2, Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1, Y2^-2 * Y3^-1 * Y2^-2 * Y1 * Y2^-2 * Y1^-1 * Y2^-2 * Y1^-1, Y2 * Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y1 * Y3^-1 * Y2^-2 * Y3 * Y2^2 * Y1 * Y2^2 * Y3^-1 * Y2^-1, Y2 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-2 * Y1^-1 ]
Map::
	R = (1, 325, 2, 326, 4, 328)(3, 327, 8, 332, 10, 334)(5, 329, 13, 337, 14, 338)(6, 330, 15, 339, 17, 341)(7, 331, 18, 342, 19, 343)(9, 333, 22, 346, 23, 347)(11, 335, 26, 350, 28, 352)(12, 336, 29, 353, 30, 354)(16, 340, 37, 361, 38, 362)(20, 344, 45, 369, 47, 371)(21, 345, 48, 372, 49, 373)(24, 348, 54, 378, 56, 380)(25, 349, 57, 381, 58, 382)(27, 351, 61, 385, 62, 386)(31, 355, 68, 392, 70, 394)(32, 356, 71, 395, 72, 396)(33, 357, 73, 397, 75, 399)(34, 358, 76, 400, 35, 359)(36, 360, 78, 402, 79, 403)(39, 363, 84, 408, 86, 410)(40, 364, 87, 411, 88, 412)(41, 365, 89, 413, 91, 415)(42, 366, 92, 416, 93, 417)(43, 367, 94, 418, 96, 420)(44, 368, 97, 421, 59, 383)(46, 370, 99, 423, 100, 424)(50, 374, 107, 431, 109, 433)(51, 375, 110, 434, 111, 435)(52, 376, 112, 436, 114, 438)(53, 377, 115, 439, 116, 440)(55, 379, 119, 443, 120, 444)(60, 384, 127, 451, 128, 452)(63, 387, 133, 457, 135, 459)(64, 388, 136, 460, 137, 461)(65, 389, 138, 462, 140, 464)(66, 390, 141, 465, 142, 466)(67, 391, 143, 467, 144, 468)(69, 393, 146, 470, 147, 471)(74, 398, 156, 480, 157, 481)(77, 401, 162, 486, 163, 487)(80, 404, 168, 492, 170, 494)(81, 405, 171, 495, 172, 496)(82, 406, 117, 441, 106, 430)(83, 407, 174, 498, 175, 499)(85, 409, 101, 425, 178, 502)(90, 414, 181, 505, 102, 426)(95, 419, 188, 512, 189, 513)(98, 422, 192, 516, 193, 517)(103, 427, 199, 523, 201, 525)(104, 428, 202, 526, 152, 476)(105, 429, 151, 475, 204, 528)(108, 432, 169, 493, 206, 530)(113, 437, 173, 497, 212, 536)(118, 442, 218, 542, 158, 482)(121, 445, 155, 479, 222, 546)(122, 446, 223, 547, 224, 548)(123, 447, 225, 549, 226, 550)(124, 448, 227, 551, 228, 552)(125, 449, 229, 553, 164, 488)(126, 450, 230, 554, 231, 555)(129, 453, 234, 558, 235, 559)(130, 454, 154, 478, 153, 477)(131, 455, 176, 500, 167, 491)(132, 456, 236, 560, 237, 561)(134, 458, 160, 484, 239, 563)(139, 463, 241, 565, 161, 485)(145, 469, 245, 569, 246, 570)(148, 472, 247, 571, 248, 572)(149, 473, 187, 511, 249, 573)(150, 474, 250, 574, 251, 575)(159, 483, 255, 579, 180, 504)(165, 489, 262, 586, 186, 510)(166, 490, 185, 509, 264, 588)(177, 501, 274, 598, 190, 514)(179, 503, 277, 601, 232, 556)(182, 506, 278, 602, 279, 603)(183, 507, 243, 567, 280, 604)(184, 508, 281, 605, 282, 606)(191, 515, 284, 608, 240, 564)(194, 518, 257, 581, 289, 613)(195, 519, 290, 614, 291, 615)(196, 520, 211, 535, 210, 534)(197, 521, 272, 596, 292, 616)(198, 522, 207, 531, 293, 617)(200, 524, 268, 592, 208, 532)(203, 527, 298, 622, 299, 623)(205, 529, 260, 584, 302, 626)(209, 533, 303, 627, 304, 628)(213, 537, 283, 607, 270, 594)(214, 538, 263, 587, 254, 578)(215, 539, 256, 580, 266, 590)(216, 540, 265, 589, 285, 609)(217, 541, 269, 593, 259, 583)(219, 543, 307, 631, 271, 595)(220, 544, 275, 599, 288, 612)(221, 545, 308, 632, 309, 633)(233, 557, 314, 638, 242, 566)(238, 562, 315, 639, 244, 568)(252, 576, 286, 610, 273, 597)(253, 577, 267, 591, 261, 585)(258, 582, 317, 641, 305, 629)(276, 600, 322, 646, 300, 624)(287, 611, 297, 621, 318, 642)(294, 618, 320, 644, 313, 637)(295, 619, 312, 636, 323, 647)(296, 620, 316, 640, 324, 648)(301, 625, 319, 643, 310, 634)(306, 630, 321, 645, 311, 635)(649, 973, 651, 975, 657, 981, 653, 977)(650, 974, 654, 978, 664, 988, 655, 979)(652, 976, 659, 983, 675, 999, 660, 984)(656, 980, 668, 992, 694, 1018, 669, 993)(658, 982, 672, 996, 703, 1027, 673, 997)(661, 985, 679, 1003, 717, 1041, 680, 1004)(662, 986, 681, 1005, 722, 1046, 682, 1006)(663, 987, 683, 1007, 725, 1049, 684, 1008)(665, 989, 687, 1011, 733, 1057, 688, 1012)(666, 990, 689, 1013, 738, 1062, 690, 1014)(667, 991, 691, 1015, 743, 1067, 692, 1016)(670, 994, 698, 1022, 756, 1080, 699, 1023)(671, 995, 700, 1024, 761, 1085, 701, 1025)(674, 998, 707, 1031, 774, 1098, 708, 1032)(676, 1000, 711, 1035, 782, 1106, 712, 1036)(677, 1001, 713, 1037, 787, 1111, 714, 1038)(678, 1002, 715, 1039, 746, 1070, 693, 1017)(685, 1009, 728, 1052, 817, 1141, 729, 1053)(686, 1010, 730, 1054, 821, 1145, 731, 1055)(695, 1019, 749, 1073, 846, 1170, 750, 1074)(696, 1020, 751, 1075, 848, 1172, 752, 1076)(697, 1021, 753, 1077, 851, 1175, 754, 1078)(702, 1026, 765, 1089, 865, 1189, 766, 1090)(704, 1028, 769, 1093, 788, 1112, 770, 1094)(705, 1029, 771, 1095, 789, 1113, 772, 1096)(706, 1030, 773, 1097, 853, 1177, 755, 1079)(709, 1033, 777, 1101, 854, 1178, 778, 1102)(710, 1034, 779, 1103, 860, 1184, 780, 1104)(716, 1040, 764, 1088, 864, 1188, 793, 1117)(718, 1042, 796, 1120, 734, 1058, 797, 1121)(719, 1043, 798, 1122, 735, 1059, 799, 1123)(720, 1044, 800, 1124, 900, 1224, 801, 1125)(721, 1045, 802, 1126, 901, 1225, 803, 1127)(723, 1047, 806, 1130, 902, 1226, 807, 1131)(724, 1048, 808, 1132, 904, 1228, 809, 1133)(726, 1050, 812, 1136, 909, 1233, 813, 1137)(727, 1051, 814, 1138, 911, 1235, 815, 1139)(732, 1056, 824, 1148, 921, 1245, 825, 1149)(736, 1060, 827, 1151, 913, 1237, 816, 1140)(737, 1061, 823, 1147, 920, 1244, 828, 1152)(739, 1063, 830, 1154, 783, 1107, 831, 1155)(740, 1064, 832, 1156, 784, 1108, 833, 1157)(741, 1065, 834, 1158, 858, 1182, 759, 1083)(742, 1066, 758, 1082, 857, 1181, 835, 1159)(744, 1068, 838, 1162, 931, 1255, 839, 1163)(745, 1069, 767, 1091, 867, 1191, 795, 1119)(747, 1071, 842, 1166, 794, 1118, 843, 1167)(748, 1072, 844, 1168, 804, 1128, 845, 1169)(757, 1081, 855, 1179, 896, 1220, 856, 1180)(760, 1084, 859, 1183, 886, 1210, 781, 1105)(762, 1086, 776, 1100, 874, 1198, 861, 1185)(763, 1087, 862, 1186, 875, 1199, 863, 1187)(768, 1092, 868, 1192, 805, 1129, 869, 1193)(775, 1099, 880, 1204, 952, 1276, 881, 1205)(785, 1109, 847, 1171, 940, 1264, 882, 1206)(786, 1110, 885, 1209, 950, 1274, 888, 1212)(790, 1114, 890, 1214, 917, 1241, 820, 1144)(791, 1115, 819, 1143, 916, 1240, 891, 1215)(792, 1116, 892, 1216, 946, 1270, 893, 1217)(810, 1134, 905, 1229, 829, 1153, 906, 1230)(811, 1135, 907, 1231, 836, 1160, 908, 1232)(818, 1142, 914, 1238, 927, 1251, 915, 1239)(822, 1146, 918, 1242, 898, 1222, 919, 1243)(826, 1150, 923, 1247, 837, 1161, 924, 1248)(840, 1164, 933, 1257, 879, 1203, 934, 1258)(841, 1165, 935, 1259, 887, 1211, 936, 1260)(849, 1173, 942, 1266, 870, 1194, 943, 1267)(850, 1174, 944, 1268, 871, 1195, 945, 1269)(852, 1176, 948, 1272, 903, 1227, 949, 1273)(866, 1190, 953, 1277, 899, 1223, 954, 1278)(872, 1196, 951, 1275, 883, 1207, 955, 1279)(873, 1197, 957, 1281, 894, 1218, 958, 1282)(876, 1200, 959, 1283, 963, 1287, 939, 1263)(877, 1201, 938, 1262, 897, 1221, 960, 1284)(878, 1202, 937, 1261, 889, 1213, 961, 1285)(884, 1208, 947, 1271, 929, 1253, 941, 1265)(895, 1219, 956, 1280, 910, 1234, 964, 1288)(912, 1236, 966, 1290, 932, 1256, 967, 1291)(922, 1246, 968, 1292, 930, 1254, 969, 1293)(925, 1249, 965, 1289, 928, 1252, 971, 1295)(926, 1250, 970, 1294, 962, 1286, 972, 1296)
	L = (1, 652)(2, 649)(3, 658)(4, 650)(5, 662)(6, 665)(7, 667)(8, 651)(9, 671)(10, 656)(11, 676)(12, 678)(13, 653)(14, 661)(15, 654)(16, 686)(17, 663)(18, 655)(19, 666)(20, 695)(21, 697)(22, 657)(23, 670)(24, 704)(25, 706)(26, 659)(27, 710)(28, 674)(29, 660)(30, 677)(31, 718)(32, 720)(33, 723)(34, 683)(35, 724)(36, 727)(37, 664)(38, 685)(39, 734)(40, 736)(41, 739)(42, 741)(43, 744)(44, 707)(45, 668)(46, 748)(47, 693)(48, 669)(49, 696)(50, 757)(51, 759)(52, 762)(53, 764)(54, 672)(55, 768)(56, 702)(57, 673)(58, 705)(59, 745)(60, 776)(61, 675)(62, 709)(63, 783)(64, 785)(65, 788)(66, 790)(67, 792)(68, 679)(69, 795)(70, 716)(71, 680)(72, 719)(73, 681)(74, 805)(75, 721)(76, 682)(77, 811)(78, 684)(79, 726)(80, 818)(81, 820)(82, 754)(83, 823)(84, 687)(85, 826)(86, 732)(87, 688)(88, 735)(89, 689)(90, 750)(91, 737)(92, 690)(93, 740)(94, 691)(95, 837)(96, 742)(97, 692)(98, 841)(99, 694)(100, 747)(101, 733)(102, 829)(103, 849)(104, 800)(105, 852)(106, 765)(107, 698)(108, 854)(109, 755)(110, 699)(111, 758)(112, 700)(113, 860)(114, 760)(115, 701)(116, 763)(117, 730)(118, 806)(119, 703)(120, 767)(121, 870)(122, 872)(123, 874)(124, 876)(125, 812)(126, 879)(127, 708)(128, 775)(129, 883)(130, 801)(131, 815)(132, 885)(133, 711)(134, 887)(135, 781)(136, 712)(137, 784)(138, 713)(139, 809)(140, 786)(141, 714)(142, 789)(143, 715)(144, 791)(145, 894)(146, 717)(147, 794)(148, 896)(149, 897)(150, 899)(151, 753)(152, 850)(153, 802)(154, 778)(155, 769)(156, 722)(157, 804)(158, 866)(159, 828)(160, 782)(161, 889)(162, 725)(163, 810)(164, 877)(165, 834)(166, 912)(167, 824)(168, 728)(169, 756)(170, 816)(171, 729)(172, 819)(173, 761)(174, 731)(175, 822)(176, 779)(177, 838)(178, 749)(179, 880)(180, 903)(181, 738)(182, 927)(183, 928)(184, 930)(185, 814)(186, 910)(187, 797)(188, 743)(189, 836)(190, 922)(191, 888)(192, 746)(193, 840)(194, 937)(195, 939)(196, 858)(197, 940)(198, 941)(199, 751)(200, 856)(201, 847)(202, 752)(203, 947)(204, 799)(205, 950)(206, 817)(207, 846)(208, 916)(209, 952)(210, 859)(211, 844)(212, 821)(213, 918)(214, 902)(215, 914)(216, 933)(217, 907)(218, 766)(219, 919)(220, 936)(221, 957)(222, 803)(223, 770)(224, 871)(225, 771)(226, 873)(227, 772)(228, 875)(229, 773)(230, 774)(231, 878)(232, 925)(233, 890)(234, 777)(235, 882)(236, 780)(237, 884)(238, 892)(239, 808)(240, 932)(241, 787)(242, 962)(243, 831)(244, 963)(245, 793)(246, 893)(247, 796)(248, 895)(249, 835)(250, 798)(251, 898)(252, 921)(253, 909)(254, 911)(255, 807)(256, 863)(257, 842)(258, 953)(259, 917)(260, 853)(261, 915)(262, 813)(263, 862)(264, 833)(265, 864)(266, 904)(267, 901)(268, 848)(269, 865)(270, 931)(271, 955)(272, 845)(273, 934)(274, 825)(275, 868)(276, 948)(277, 827)(278, 830)(279, 926)(280, 891)(281, 832)(282, 929)(283, 861)(284, 839)(285, 913)(286, 900)(287, 966)(288, 923)(289, 905)(290, 843)(291, 938)(292, 920)(293, 855)(294, 961)(295, 971)(296, 972)(297, 935)(298, 851)(299, 946)(300, 970)(301, 958)(302, 908)(303, 857)(304, 951)(305, 965)(306, 959)(307, 867)(308, 869)(309, 956)(310, 967)(311, 969)(312, 943)(313, 968)(314, 881)(315, 886)(316, 944)(317, 906)(318, 945)(319, 949)(320, 942)(321, 954)(322, 924)(323, 960)(324, 964)(325, 973)(326, 974)(327, 975)(328, 976)(329, 977)(330, 978)(331, 979)(332, 980)(333, 981)(334, 982)(335, 983)(336, 984)(337, 985)(338, 986)(339, 987)(340, 988)(341, 989)(342, 990)(343, 991)(344, 992)(345, 993)(346, 994)(347, 995)(348, 996)(349, 997)(350, 998)(351, 999)(352, 1000)(353, 1001)(354, 1002)(355, 1003)(356, 1004)(357, 1005)(358, 1006)(359, 1007)(360, 1008)(361, 1009)(362, 1010)(363, 1011)(364, 1012)(365, 1013)(366, 1014)(367, 1015)(368, 1016)(369, 1017)(370, 1018)(371, 1019)(372, 1020)(373, 1021)(374, 1022)(375, 1023)(376, 1024)(377, 1025)(378, 1026)(379, 1027)(380, 1028)(381, 1029)(382, 1030)(383, 1031)(384, 1032)(385, 1033)(386, 1034)(387, 1035)(388, 1036)(389, 1037)(390, 1038)(391, 1039)(392, 1040)(393, 1041)(394, 1042)(395, 1043)(396, 1044)(397, 1045)(398, 1046)(399, 1047)(400, 1048)(401, 1049)(402, 1050)(403, 1051)(404, 1052)(405, 1053)(406, 1054)(407, 1055)(408, 1056)(409, 1057)(410, 1058)(411, 1059)(412, 1060)(413, 1061)(414, 1062)(415, 1063)(416, 1064)(417, 1065)(418, 1066)(419, 1067)(420, 1068)(421, 1069)(422, 1070)(423, 1071)(424, 1072)(425, 1073)(426, 1074)(427, 1075)(428, 1076)(429, 1077)(430, 1078)(431, 1079)(432, 1080)(433, 1081)(434, 1082)(435, 1083)(436, 1084)(437, 1085)(438, 1086)(439, 1087)(440, 1088)(441, 1089)(442, 1090)(443, 1091)(444, 1092)(445, 1093)(446, 1094)(447, 1095)(448, 1096)(449, 1097)(450, 1098)(451, 1099)(452, 1100)(453, 1101)(454, 1102)(455, 1103)(456, 1104)(457, 1105)(458, 1106)(459, 1107)(460, 1108)(461, 1109)(462, 1110)(463, 1111)(464, 1112)(465, 1113)(466, 1114)(467, 1115)(468, 1116)(469, 1117)(470, 1118)(471, 1119)(472, 1120)(473, 1121)(474, 1122)(475, 1123)(476, 1124)(477, 1125)(478, 1126)(479, 1127)(480, 1128)(481, 1129)(482, 1130)(483, 1131)(484, 1132)(485, 1133)(486, 1134)(487, 1135)(488, 1136)(489, 1137)(490, 1138)(491, 1139)(492, 1140)(493, 1141)(494, 1142)(495, 1143)(496, 1144)(497, 1145)(498, 1146)(499, 1147)(500, 1148)(501, 1149)(502, 1150)(503, 1151)(504, 1152)(505, 1153)(506, 1154)(507, 1155)(508, 1156)(509, 1157)(510, 1158)(511, 1159)(512, 1160)(513, 1161)(514, 1162)(515, 1163)(516, 1164)(517, 1165)(518, 1166)(519, 1167)(520, 1168)(521, 1169)(522, 1170)(523, 1171)(524, 1172)(525, 1173)(526, 1174)(527, 1175)(528, 1176)(529, 1177)(530, 1178)(531, 1179)(532, 1180)(533, 1181)(534, 1182)(535, 1183)(536, 1184)(537, 1185)(538, 1186)(539, 1187)(540, 1188)(541, 1189)(542, 1190)(543, 1191)(544, 1192)(545, 1193)(546, 1194)(547, 1195)(548, 1196)(549, 1197)(550, 1198)(551, 1199)(552, 1200)(553, 1201)(554, 1202)(555, 1203)(556, 1204)(557, 1205)(558, 1206)(559, 1207)(560, 1208)(561, 1209)(562, 1210)(563, 1211)(564, 1212)(565, 1213)(566, 1214)(567, 1215)(568, 1216)(569, 1217)(570, 1218)(571, 1219)(572, 1220)(573, 1221)(574, 1222)(575, 1223)(576, 1224)(577, 1225)(578, 1226)(579, 1227)(580, 1228)(581, 1229)(582, 1230)(583, 1231)(584, 1232)(585, 1233)(586, 1234)(587, 1235)(588, 1236)(589, 1237)(590, 1238)(591, 1239)(592, 1240)(593, 1241)(594, 1242)(595, 1243)(596, 1244)(597, 1245)(598, 1246)(599, 1247)(600, 1248)(601, 1249)(602, 1250)(603, 1251)(604, 1252)(605, 1253)(606, 1254)(607, 1255)(608, 1256)(609, 1257)(610, 1258)(611, 1259)(612, 1260)(613, 1261)(614, 1262)(615, 1263)(616, 1264)(617, 1265)(618, 1266)(619, 1267)(620, 1268)(621, 1269)(622, 1270)(623, 1271)(624, 1272)(625, 1273)(626, 1274)(627, 1275)(628, 1276)(629, 1277)(630, 1278)(631, 1279)(632, 1280)(633, 1281)(634, 1282)(635, 1283)(636, 1284)(637, 1285)(638, 1286)(639, 1287)(640, 1288)(641, 1289)(642, 1290)(643, 1291)(644, 1292)(645, 1293)(646, 1294)(647, 1295)(648, 1296)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.3201
Graph:: bipartite
	v = 189 e = 648 f = 405
	degree seq :: [ 6^108, 8^81 ]

E28.3201 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4})
Quotient :: dipole
Aut^+ = (C3 x ((C3 x C3) : C3)) : C4 (small group id <324, 113>)
Aut   = $<648, 545>$ (small group id <648, 545>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, Y1^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, (Y1 * Y3)^4, Y3 * Y1 * Y3^-1 * Y1^-2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y1^-2 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3, Y3^-1 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^2 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^2 * Y3 * Y1^-2, (Y3 * Y1 * Y3 * Y1^-1)^3 ]
Map:: polytopal
	R = (1, 325, 2, 326, 6, 330, 4, 328)(3, 327, 9, 333, 21, 345, 10, 334)(5, 329, 13, 337, 30, 354, 14, 338)(7, 331, 17, 341, 39, 363, 18, 342)(8, 332, 19, 343, 44, 368, 20, 344)(11, 335, 26, 350, 59, 383, 27, 351)(12, 336, 28, 352, 64, 388, 29, 353)(15, 339, 35, 359, 77, 401, 36, 360)(16, 340, 37, 361, 82, 406, 38, 362)(22, 346, 51, 375, 109, 433, 52, 376)(23, 347, 53, 377, 112, 436, 54, 378)(24, 348, 55, 379, 117, 441, 56, 380)(25, 349, 57, 381, 122, 446, 58, 382)(31, 355, 70, 394, 147, 471, 71, 395)(32, 356, 72, 396, 150, 474, 73, 397)(33, 357, 74, 398, 155, 479, 75, 399)(34, 358, 76, 400, 89, 413, 40, 364)(41, 365, 90, 414, 182, 506, 91, 415)(42, 366, 92, 416, 185, 509, 93, 417)(43, 367, 94, 418, 189, 513, 95, 419)(45, 369, 98, 422, 194, 518, 99, 423)(46, 370, 100, 424, 157, 481, 101, 425)(47, 371, 102, 426, 158, 482, 103, 427)(48, 372, 104, 428, 164, 488, 78, 402)(49, 373, 105, 429, 162, 486, 106, 430)(50, 374, 107, 431, 169, 493, 108, 432)(60, 384, 86, 410, 175, 499, 128, 452)(61, 385, 129, 453, 114, 438, 130, 454)(62, 386, 131, 455, 115, 439, 132, 456)(63, 387, 133, 457, 237, 561, 134, 458)(65, 389, 137, 461, 238, 562, 138, 462)(66, 390, 139, 463, 239, 563, 140, 464)(67, 391, 141, 465, 241, 565, 142, 466)(68, 392, 143, 467, 163, 487, 144, 468)(69, 393, 145, 469, 170, 494, 146, 470)(79, 403, 165, 489, 233, 557, 166, 490)(80, 404, 167, 491, 227, 551, 123, 447)(81, 405, 121, 445, 224, 548, 168, 492)(83, 407, 171, 495, 252, 576, 151, 475)(84, 408, 149, 473, 200, 524, 172, 496)(85, 409, 173, 497, 201, 525, 174, 498)(87, 411, 176, 500, 126, 450, 177, 501)(88, 412, 178, 502, 135, 459, 179, 503)(96, 420, 191, 515, 127, 451, 125, 449)(97, 421, 192, 516, 136, 460, 193, 517)(110, 434, 204, 528, 300, 624, 213, 537)(111, 435, 214, 538, 265, 589, 215, 539)(113, 437, 216, 540, 304, 628, 217, 541)(116, 440, 218, 542, 267, 591, 205, 529)(118, 442, 210, 534, 273, 597, 219, 543)(119, 443, 220, 544, 152, 476, 221, 545)(120, 444, 222, 546, 153, 477, 223, 547)(124, 448, 228, 552, 263, 587, 229, 553)(148, 472, 250, 574, 262, 586, 251, 575)(154, 478, 186, 510, 274, 598, 244, 568)(156, 480, 247, 571, 258, 582, 253, 577)(159, 483, 254, 578, 293, 617, 208, 532)(160, 484, 207, 531, 260, 584, 255, 579)(161, 485, 256, 580, 285, 609, 230, 554)(180, 504, 268, 592, 249, 573, 275, 599)(181, 505, 276, 600, 242, 566, 277, 601)(183, 507, 278, 602, 226, 550, 279, 603)(184, 508, 280, 604, 211, 535, 269, 593)(187, 511, 281, 605, 196, 520, 282, 606)(188, 512, 283, 607, 197, 521, 284, 608)(190, 514, 287, 611, 240, 564, 288, 612)(195, 519, 295, 619, 236, 560, 296, 620)(198, 522, 261, 585, 245, 569, 289, 613)(199, 523, 292, 616, 231, 555, 297, 621)(202, 526, 298, 622, 316, 640, 272, 596)(203, 527, 271, 595, 234, 558, 299, 623)(206, 530, 266, 590, 308, 632, 301, 625)(209, 533, 264, 588, 235, 559, 290, 614)(212, 536, 294, 618, 225, 549, 257, 581)(232, 556, 291, 615, 302, 626, 313, 637)(243, 567, 314, 638, 248, 572, 270, 594)(246, 570, 286, 610, 310, 634, 259, 583)(303, 627, 317, 641, 312, 636, 323, 647)(305, 629, 320, 644, 311, 635, 324, 648)(306, 630, 319, 643, 309, 633, 321, 645)(307, 631, 318, 642, 315, 639, 322, 646)(649, 973)(650, 974)(651, 975)(652, 976)(653, 977)(654, 978)(655, 979)(656, 980)(657, 981)(658, 982)(659, 983)(660, 984)(661, 985)(662, 986)(663, 987)(664, 988)(665, 989)(666, 990)(667, 991)(668, 992)(669, 993)(670, 994)(671, 995)(672, 996)(673, 997)(674, 998)(675, 999)(676, 1000)(677, 1001)(678, 1002)(679, 1003)(680, 1004)(681, 1005)(682, 1006)(683, 1007)(684, 1008)(685, 1009)(686, 1010)(687, 1011)(688, 1012)(689, 1013)(690, 1014)(691, 1015)(692, 1016)(693, 1017)(694, 1018)(695, 1019)(696, 1020)(697, 1021)(698, 1022)(699, 1023)(700, 1024)(701, 1025)(702, 1026)(703, 1027)(704, 1028)(705, 1029)(706, 1030)(707, 1031)(708, 1032)(709, 1033)(710, 1034)(711, 1035)(712, 1036)(713, 1037)(714, 1038)(715, 1039)(716, 1040)(717, 1041)(718, 1042)(719, 1043)(720, 1044)(721, 1045)(722, 1046)(723, 1047)(724, 1048)(725, 1049)(726, 1050)(727, 1051)(728, 1052)(729, 1053)(730, 1054)(731, 1055)(732, 1056)(733, 1057)(734, 1058)(735, 1059)(736, 1060)(737, 1061)(738, 1062)(739, 1063)(740, 1064)(741, 1065)(742, 1066)(743, 1067)(744, 1068)(745, 1069)(746, 1070)(747, 1071)(748, 1072)(749, 1073)(750, 1074)(751, 1075)(752, 1076)(753, 1077)(754, 1078)(755, 1079)(756, 1080)(757, 1081)(758, 1082)(759, 1083)(760, 1084)(761, 1085)(762, 1086)(763, 1087)(764, 1088)(765, 1089)(766, 1090)(767, 1091)(768, 1092)(769, 1093)(770, 1094)(771, 1095)(772, 1096)(773, 1097)(774, 1098)(775, 1099)(776, 1100)(777, 1101)(778, 1102)(779, 1103)(780, 1104)(781, 1105)(782, 1106)(783, 1107)(784, 1108)(785, 1109)(786, 1110)(787, 1111)(788, 1112)(789, 1113)(790, 1114)(791, 1115)(792, 1116)(793, 1117)(794, 1118)(795, 1119)(796, 1120)(797, 1121)(798, 1122)(799, 1123)(800, 1124)(801, 1125)(802, 1126)(803, 1127)(804, 1128)(805, 1129)(806, 1130)(807, 1131)(808, 1132)(809, 1133)(810, 1134)(811, 1135)(812, 1136)(813, 1137)(814, 1138)(815, 1139)(816, 1140)(817, 1141)(818, 1142)(819, 1143)(820, 1144)(821, 1145)(822, 1146)(823, 1147)(824, 1148)(825, 1149)(826, 1150)(827, 1151)(828, 1152)(829, 1153)(830, 1154)(831, 1155)(832, 1156)(833, 1157)(834, 1158)(835, 1159)(836, 1160)(837, 1161)(838, 1162)(839, 1163)(840, 1164)(841, 1165)(842, 1166)(843, 1167)(844, 1168)(845, 1169)(846, 1170)(847, 1171)(848, 1172)(849, 1173)(850, 1174)(851, 1175)(852, 1176)(853, 1177)(854, 1178)(855, 1179)(856, 1180)(857, 1181)(858, 1182)(859, 1183)(860, 1184)(861, 1185)(862, 1186)(863, 1187)(864, 1188)(865, 1189)(866, 1190)(867, 1191)(868, 1192)(869, 1193)(870, 1194)(871, 1195)(872, 1196)(873, 1197)(874, 1198)(875, 1199)(876, 1200)(877, 1201)(878, 1202)(879, 1203)(880, 1204)(881, 1205)(882, 1206)(883, 1207)(884, 1208)(885, 1209)(886, 1210)(887, 1211)(888, 1212)(889, 1213)(890, 1214)(891, 1215)(892, 1216)(893, 1217)(894, 1218)(895, 1219)(896, 1220)(897, 1221)(898, 1222)(899, 1223)(900, 1224)(901, 1225)(902, 1226)(903, 1227)(904, 1228)(905, 1229)(906, 1230)(907, 1231)(908, 1232)(909, 1233)(910, 1234)(911, 1235)(912, 1236)(913, 1237)(914, 1238)(915, 1239)(916, 1240)(917, 1241)(918, 1242)(919, 1243)(920, 1244)(921, 1245)(922, 1246)(923, 1247)(924, 1248)(925, 1249)(926, 1250)(927, 1251)(928, 1252)(929, 1253)(930, 1254)(931, 1255)(932, 1256)(933, 1257)(934, 1258)(935, 1259)(936, 1260)(937, 1261)(938, 1262)(939, 1263)(940, 1264)(941, 1265)(942, 1266)(943, 1267)(944, 1268)(945, 1269)(946, 1270)(947, 1271)(948, 1272)(949, 1273)(950, 1274)(951, 1275)(952, 1276)(953, 1277)(954, 1278)(955, 1279)(956, 1280)(957, 1281)(958, 1282)(959, 1283)(960, 1284)(961, 1285)(962, 1286)(963, 1287)(964, 1288)(965, 1289)(966, 1290)(967, 1291)(968, 1292)(969, 1293)(970, 1294)(971, 1295)(972, 1296)
	L = (1, 651)(2, 655)(3, 653)(4, 659)(5, 649)(6, 663)(7, 656)(8, 650)(9, 670)(10, 672)(11, 660)(12, 652)(13, 679)(14, 681)(15, 664)(16, 654)(17, 688)(18, 690)(19, 693)(20, 695)(21, 697)(22, 671)(23, 657)(24, 673)(25, 658)(26, 708)(27, 710)(28, 713)(29, 715)(30, 716)(31, 680)(32, 661)(33, 682)(34, 662)(35, 726)(36, 728)(37, 731)(38, 733)(39, 735)(40, 689)(41, 665)(42, 691)(43, 666)(44, 744)(45, 694)(46, 667)(47, 696)(48, 668)(49, 698)(50, 669)(51, 677)(52, 758)(53, 761)(54, 763)(55, 766)(56, 768)(57, 771)(58, 773)(59, 774)(60, 709)(61, 674)(62, 711)(63, 675)(64, 783)(65, 714)(66, 676)(67, 699)(68, 717)(69, 678)(70, 706)(71, 796)(72, 799)(73, 801)(74, 804)(75, 806)(76, 808)(77, 810)(78, 727)(79, 683)(80, 729)(81, 684)(82, 817)(83, 732)(84, 685)(85, 734)(86, 686)(87, 736)(88, 687)(89, 828)(90, 831)(91, 765)(92, 834)(93, 836)(94, 780)(95, 755)(96, 745)(97, 692)(98, 743)(99, 843)(100, 786)(101, 845)(102, 847)(103, 849)(104, 851)(105, 853)(106, 855)(107, 746)(108, 857)(109, 859)(110, 759)(111, 700)(112, 738)(113, 762)(114, 701)(115, 764)(116, 702)(117, 832)(118, 767)(119, 703)(120, 769)(121, 704)(122, 873)(123, 772)(124, 705)(125, 718)(126, 775)(127, 707)(128, 878)(129, 880)(130, 875)(131, 883)(132, 838)(133, 741)(134, 792)(135, 784)(136, 712)(137, 782)(138, 844)(139, 747)(140, 888)(141, 890)(142, 803)(143, 892)(144, 785)(145, 864)(146, 894)(147, 896)(148, 797)(149, 719)(150, 789)(151, 800)(152, 720)(153, 802)(154, 721)(155, 891)(156, 805)(157, 722)(158, 807)(159, 723)(160, 809)(161, 724)(162, 811)(163, 725)(164, 905)(165, 907)(166, 833)(167, 909)(168, 826)(169, 818)(170, 730)(171, 816)(172, 911)(173, 913)(174, 889)(175, 915)(176, 917)(177, 919)(178, 819)(179, 921)(180, 829)(181, 737)(182, 813)(183, 760)(184, 739)(185, 908)(186, 835)(187, 740)(188, 781)(189, 933)(190, 742)(191, 937)(192, 926)(193, 939)(194, 941)(195, 787)(196, 748)(197, 846)(198, 749)(199, 848)(200, 750)(201, 850)(202, 751)(203, 852)(204, 752)(205, 854)(206, 753)(207, 856)(208, 754)(209, 858)(210, 756)(211, 860)(212, 757)(213, 950)(214, 871)(215, 793)(216, 863)(217, 953)(218, 954)(219, 788)(220, 955)(221, 903)(222, 958)(223, 951)(224, 861)(225, 874)(226, 770)(227, 882)(228, 865)(229, 960)(230, 879)(231, 776)(232, 881)(233, 777)(234, 778)(235, 884)(236, 779)(237, 923)(238, 949)(239, 821)(240, 867)(241, 914)(242, 798)(243, 790)(244, 893)(245, 791)(246, 895)(247, 794)(248, 897)(249, 795)(250, 866)(251, 963)(252, 964)(253, 877)(254, 899)(255, 957)(256, 900)(257, 906)(258, 812)(259, 830)(260, 814)(261, 910)(262, 815)(263, 912)(264, 820)(265, 887)(266, 822)(267, 916)(268, 823)(269, 918)(270, 824)(271, 920)(272, 825)(273, 922)(274, 827)(275, 952)(276, 932)(277, 840)(278, 925)(279, 966)(280, 967)(281, 968)(282, 947)(283, 961)(284, 965)(285, 934)(286, 837)(287, 927)(288, 971)(289, 938)(290, 839)(291, 940)(292, 841)(293, 942)(294, 842)(295, 928)(296, 972)(297, 936)(298, 944)(299, 969)(300, 886)(301, 948)(302, 872)(303, 862)(304, 885)(305, 876)(306, 898)(307, 956)(308, 868)(309, 869)(310, 959)(311, 870)(312, 901)(313, 970)(314, 929)(315, 902)(316, 904)(317, 924)(318, 935)(319, 943)(320, 962)(321, 930)(322, 931)(323, 945)(324, 946)(325, 973)(326, 974)(327, 975)(328, 976)(329, 977)(330, 978)(331, 979)(332, 980)(333, 981)(334, 982)(335, 983)(336, 984)(337, 985)(338, 986)(339, 987)(340, 988)(341, 989)(342, 990)(343, 991)(344, 992)(345, 993)(346, 994)(347, 995)(348, 996)(349, 997)(350, 998)(351, 999)(352, 1000)(353, 1001)(354, 1002)(355, 1003)(356, 1004)(357, 1005)(358, 1006)(359, 1007)(360, 1008)(361, 1009)(362, 1010)(363, 1011)(364, 1012)(365, 1013)(366, 1014)(367, 1015)(368, 1016)(369, 1017)(370, 1018)(371, 1019)(372, 1020)(373, 1021)(374, 1022)(375, 1023)(376, 1024)(377, 1025)(378, 1026)(379, 1027)(380, 1028)(381, 1029)(382, 1030)(383, 1031)(384, 1032)(385, 1033)(386, 1034)(387, 1035)(388, 1036)(389, 1037)(390, 1038)(391, 1039)(392, 1040)(393, 1041)(394, 1042)(395, 1043)(396, 1044)(397, 1045)(398, 1046)(399, 1047)(400, 1048)(401, 1049)(402, 1050)(403, 1051)(404, 1052)(405, 1053)(406, 1054)(407, 1055)(408, 1056)(409, 1057)(410, 1058)(411, 1059)(412, 1060)(413, 1061)(414, 1062)(415, 1063)(416, 1064)(417, 1065)(418, 1066)(419, 1067)(420, 1068)(421, 1069)(422, 1070)(423, 1071)(424, 1072)(425, 1073)(426, 1074)(427, 1075)(428, 1076)(429, 1077)(430, 1078)(431, 1079)(432, 1080)(433, 1081)(434, 1082)(435, 1083)(436, 1084)(437, 1085)(438, 1086)(439, 1087)(440, 1088)(441, 1089)(442, 1090)(443, 1091)(444, 1092)(445, 1093)(446, 1094)(447, 1095)(448, 1096)(449, 1097)(450, 1098)(451, 1099)(452, 1100)(453, 1101)(454, 1102)(455, 1103)(456, 1104)(457, 1105)(458, 1106)(459, 1107)(460, 1108)(461, 1109)(462, 1110)(463, 1111)(464, 1112)(465, 1113)(466, 1114)(467, 1115)(468, 1116)(469, 1117)(470, 1118)(471, 1119)(472, 1120)(473, 1121)(474, 1122)(475, 1123)(476, 1124)(477, 1125)(478, 1126)(479, 1127)(480, 1128)(481, 1129)(482, 1130)(483, 1131)(484, 1132)(485, 1133)(486, 1134)(487, 1135)(488, 1136)(489, 1137)(490, 1138)(491, 1139)(492, 1140)(493, 1141)(494, 1142)(495, 1143)(496, 1144)(497, 1145)(498, 1146)(499, 1147)(500, 1148)(501, 1149)(502, 1150)(503, 1151)(504, 1152)(505, 1153)(506, 1154)(507, 1155)(508, 1156)(509, 1157)(510, 1158)(511, 1159)(512, 1160)(513, 1161)(514, 1162)(515, 1163)(516, 1164)(517, 1165)(518, 1166)(519, 1167)(520, 1168)(521, 1169)(522, 1170)(523, 1171)(524, 1172)(525, 1173)(526, 1174)(527, 1175)(528, 1176)(529, 1177)(530, 1178)(531, 1179)(532, 1180)(533, 1181)(534, 1182)(535, 1183)(536, 1184)(537, 1185)(538, 1186)(539, 1187)(540, 1188)(541, 1189)(542, 1190)(543, 1191)(544, 1192)(545, 1193)(546, 1194)(547, 1195)(548, 1196)(549, 1197)(550, 1198)(551, 1199)(552, 1200)(553, 1201)(554, 1202)(555, 1203)(556, 1204)(557, 1205)(558, 1206)(559, 1207)(560, 1208)(561, 1209)(562, 1210)(563, 1211)(564, 1212)(565, 1213)(566, 1214)(567, 1215)(568, 1216)(569, 1217)(570, 1218)(571, 1219)(572, 1220)(573, 1221)(574, 1222)(575, 1223)(576, 1224)(577, 1225)(578, 1226)(579, 1227)(580, 1228)(581, 1229)(582, 1230)(583, 1231)(584, 1232)(585, 1233)(586, 1234)(587, 1235)(588, 1236)(589, 1237)(590, 1238)(591, 1239)(592, 1240)(593, 1241)(594, 1242)(595, 1243)(596, 1244)(597, 1245)(598, 1246)(599, 1247)(600, 1248)(601, 1249)(602, 1250)(603, 1251)(604, 1252)(605, 1253)(606, 1254)(607, 1255)(608, 1256)(609, 1257)(610, 1258)(611, 1259)(612, 1260)(613, 1261)(614, 1262)(615, 1263)(616, 1264)(617, 1265)(618, 1266)(619, 1267)(620, 1268)(621, 1269)(622, 1270)(623, 1271)(624, 1272)(625, 1273)(626, 1274)(627, 1275)(628, 1276)(629, 1277)(630, 1278)(631, 1279)(632, 1280)(633, 1281)(634, 1282)(635, 1283)(636, 1284)(637, 1285)(638, 1286)(639, 1287)(640, 1288)(641, 1289)(642, 1290)(643, 1291)(644, 1292)(645, 1293)(646, 1294)(647, 1295)(648, 1296)
	local type(s) :: { ( 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.3200
Graph:: simple bipartite
	v = 405 e = 648 f = 189
	degree seq :: [ 2^324, 8^81 ]

E28.3202 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 3, 6})
Quotient :: edge
Aut^+ = (C2 x C2 x ((C3 x C3) : C3)) : C3 (small group id <324, 54>)
Aut   = $<648, 274>$ (small group id <648, 274>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, (T2^-1 * T1^-1)^3, T2^6, (T2 * T1^-1 * T2)^3, T2 * T1^-1 * T2^-1 * T1 * T2^3 * T1 * T2^-1 * T1^-1 * T2, T1 * T2 * T1^-1 * T2^-3 * T1 * T2^-1 * T1^-1 * T2^-3, (T2^-1 * T1^-1 * T2 * T1^-1)^3, T1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2^-1 * T1 * T2^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 9, 25, 15, 5)(2, 6, 17, 41, 21, 7)(4, 11, 30, 67, 33, 12)(8, 22, 50, 113, 53, 23)(10, 27, 61, 134, 64, 28)(13, 34, 76, 164, 80, 35)(14, 36, 82, 89, 39, 16)(18, 43, 97, 130, 100, 44)(19, 45, 102, 209, 106, 46)(20, 47, 108, 143, 65, 29)(24, 54, 120, 187, 123, 55)(26, 58, 48, 110, 131, 59)(31, 69, 150, 197, 153, 70)(32, 71, 155, 177, 159, 72)(37, 84, 176, 148, 68, 85)(38, 86, 181, 224, 162, 75)(40, 90, 188, 240, 191, 91)(42, 94, 73, 160, 198, 95)(49, 111, 221, 172, 207, 101)(51, 115, 228, 288, 231, 116)(52, 117, 180, 179, 132, 60)(56, 124, 239, 147, 173, 125)(57, 126, 118, 92, 192, 127)(62, 135, 247, 277, 249, 136)(63, 137, 167, 77, 166, 138)(66, 144, 227, 119, 234, 145)(74, 161, 275, 217, 267, 154)(78, 168, 281, 235, 252, 169)(79, 170, 128, 122, 171, 81)(83, 174, 205, 242, 287, 175)(87, 183, 291, 241, 165, 184)(88, 185, 220, 129, 199, 96)(93, 193, 186, 146, 246, 194)(98, 201, 243, 286, 303, 202)(99, 203, 212, 103, 211, 204)(104, 213, 310, 295, 306, 214)(105, 215, 195, 190, 216, 107)(109, 218, 265, 300, 251, 219)(112, 158, 273, 178, 259, 223)(114, 225, 139, 253, 305, 226)(121, 236, 279, 163, 278, 237)(133, 244, 311, 238, 318, 245)(140, 254, 290, 182, 289, 250)(141, 255, 280, 299, 210, 256)(142, 257, 274, 196, 260, 149)(151, 248, 301, 312, 322, 262)(152, 263, 270, 156, 269, 264)(157, 271, 315, 229, 282, 272)(189, 296, 309, 208, 308, 297)(200, 302, 314, 298, 232, 230)(206, 307, 233, 222, 313, 304)(258, 283, 317, 268, 324, 321)(261, 285, 284, 316, 293, 292)(266, 319, 294, 276, 320, 323)(325, 326, 328)(327, 332, 334)(329, 337, 338)(330, 340, 342)(331, 343, 344)(333, 348, 350)(335, 353, 355)(336, 356, 346)(339, 361, 362)(341, 364, 366)(345, 372, 373)(347, 375, 376)(349, 380, 381)(351, 384, 386)(352, 387, 378)(354, 390, 392)(357, 397, 398)(358, 399, 401)(359, 402, 403)(360, 405, 407)(363, 411, 412)(365, 416, 417)(367, 420, 422)(368, 423, 414)(369, 425, 427)(370, 428, 429)(371, 431, 433)(374, 436, 438)(377, 442, 443)(379, 445, 446)(382, 452, 453)(383, 454, 448)(385, 457, 404)(388, 463, 464)(389, 465, 466)(391, 470, 471)(393, 473, 475)(394, 476, 468)(395, 478, 480)(396, 481, 482)(400, 487, 489)(406, 496, 497)(408, 451, 501)(409, 502, 503)(410, 504, 506)(413, 510, 511)(415, 513, 514)(418, 519, 520)(419, 521, 516)(421, 524, 430)(424, 529, 530)(426, 532, 534)(432, 541, 450)(434, 518, 488)(435, 544, 546)(437, 548, 517)(439, 551, 553)(440, 537, 554)(441, 556, 557)(444, 559, 507)(447, 505, 562)(449, 564, 467)(455, 565, 566)(456, 535, 567)(458, 570, 472)(459, 525, 572)(460, 542, 568)(461, 574, 575)(462, 539, 576)(469, 582, 583)(474, 585, 483)(477, 589, 590)(479, 592, 555)(484, 563, 533)(485, 598, 600)(486, 550, 601)(490, 571, 584)(491, 604, 602)(492, 569, 580)(493, 538, 596)(494, 606, 588)(495, 607, 608)(498, 609, 586)(499, 610, 531)(500, 612, 577)(508, 595, 616)(509, 617, 618)(512, 619, 579)(515, 545, 622)(522, 623, 624)(523, 593, 625)(526, 549, 626)(527, 628, 629)(528, 597, 630)(536, 552, 632)(540, 560, 635)(543, 636, 591)(547, 620, 638)(558, 599, 640)(561, 634, 641)(573, 637, 643)(578, 627, 644)(581, 642, 614)(587, 647, 611)(594, 615, 648)(603, 621, 639)(605, 633, 645)(613, 631, 646)
	L = (1, 325)(2, 326)(3, 327)(4, 328)(5, 329)(6, 330)(7, 331)(8, 332)(9, 333)(10, 334)(11, 335)(12, 336)(13, 337)(14, 338)(15, 339)(16, 340)(17, 341)(18, 342)(19, 343)(20, 344)(21, 345)(22, 346)(23, 347)(24, 348)(25, 349)(26, 350)(27, 351)(28, 352)(29, 353)(30, 354)(31, 355)(32, 356)(33, 357)(34, 358)(35, 359)(36, 360)(37, 361)(38, 362)(39, 363)(40, 364)(41, 365)(42, 366)(43, 367)(44, 368)(45, 369)(46, 370)(47, 371)(48, 372)(49, 373)(50, 374)(51, 375)(52, 376)(53, 377)(54, 378)(55, 379)(56, 380)(57, 381)(58, 382)(59, 383)(60, 384)(61, 385)(62, 386)(63, 387)(64, 388)(65, 389)(66, 390)(67, 391)(68, 392)(69, 393)(70, 394)(71, 395)(72, 396)(73, 397)(74, 398)(75, 399)(76, 400)(77, 401)(78, 402)(79, 403)(80, 404)(81, 405)(82, 406)(83, 407)(84, 408)(85, 409)(86, 410)(87, 411)(88, 412)(89, 413)(90, 414)(91, 415)(92, 416)(93, 417)(94, 418)(95, 419)(96, 420)(97, 421)(98, 422)(99, 423)(100, 424)(101, 425)(102, 426)(103, 427)(104, 428)(105, 429)(106, 430)(107, 431)(108, 432)(109, 433)(110, 434)(111, 435)(112, 436)(113, 437)(114, 438)(115, 439)(116, 440)(117, 441)(118, 442)(119, 443)(120, 444)(121, 445)(122, 446)(123, 447)(124, 448)(125, 449)(126, 450)(127, 451)(128, 452)(129, 453)(130, 454)(131, 455)(132, 456)(133, 457)(134, 458)(135, 459)(136, 460)(137, 461)(138, 462)(139, 463)(140, 464)(141, 465)(142, 466)(143, 467)(144, 468)(145, 469)(146, 470)(147, 471)(148, 472)(149, 473)(150, 474)(151, 475)(152, 476)(153, 477)(154, 478)(155, 479)(156, 480)(157, 481)(158, 482)(159, 483)(160, 484)(161, 485)(162, 486)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 6^3 ), ( 6^6 ) }
Outer automorphisms :: reflexible
Dual of E28.3203
Transitivity :: ET+
Graph:: simple bipartite
	v = 162 e = 324 f = 108
	degree seq :: [ 3^108, 6^54 ]

E28.3203 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 3, 6})
Quotient :: loop
Aut^+ = (C2 x C2 x ((C3 x C3) : C3)) : C3 (small group id <324, 54>)
Aut   = $<648, 274>$ (small group id <648, 274>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^3, (F * T1)^2, (F * T2)^2, T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1 * T2 * T1^-1, T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-1, T2 * T1^-1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2 * T1^-1, (T1^-1 * T2^-1)^6, (T2 * T1^-1 * T2^-1 * T1^-1)^3, (T2^-1 * T1 * T2^-1 * T1^-1)^3, T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1, (T2^-1 * T1^-1)^6, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 325, 3, 327, 5, 329)(2, 326, 6, 330, 7, 331)(4, 328, 10, 334, 11, 335)(8, 332, 18, 342, 19, 343)(9, 333, 20, 344, 21, 345)(12, 336, 26, 350, 27, 351)(13, 337, 28, 352, 29, 353)(14, 338, 30, 354, 31, 355)(15, 339, 32, 356, 33, 357)(16, 340, 34, 358, 35, 359)(17, 341, 36, 360, 37, 361)(22, 346, 46, 370, 47, 371)(23, 347, 48, 372, 49, 373)(24, 348, 50, 374, 51, 375)(25, 349, 52, 376, 53, 377)(38, 362, 78, 402, 79, 403)(39, 363, 80, 404, 81, 405)(40, 364, 82, 406, 83, 407)(41, 365, 84, 408, 85, 409)(42, 366, 86, 410, 87, 411)(43, 367, 88, 412, 89, 413)(44, 368, 90, 414, 91, 415)(45, 369, 92, 416, 93, 417)(54, 378, 110, 434, 111, 435)(55, 379, 112, 436, 113, 437)(56, 380, 114, 438, 115, 439)(57, 381, 116, 440, 117, 441)(58, 382, 118, 442, 119, 443)(59, 383, 120, 444, 121, 445)(60, 384, 122, 446, 123, 447)(61, 385, 124, 448, 125, 449)(62, 386, 126, 450, 127, 451)(63, 387, 128, 452, 129, 453)(64, 388, 130, 454, 131, 455)(65, 389, 132, 456, 133, 457)(66, 390, 134, 458, 135, 459)(67, 391, 136, 460, 137, 461)(68, 392, 138, 462, 139, 463)(69, 393, 140, 464, 141, 465)(70, 394, 142, 466, 143, 467)(71, 395, 144, 468, 145, 469)(72, 396, 146, 470, 147, 471)(73, 397, 148, 472, 149, 473)(74, 398, 150, 474, 151, 475)(75, 399, 152, 476, 153, 477)(76, 400, 154, 478, 155, 479)(77, 401, 156, 480, 157, 481)(94, 418, 183, 507, 184, 508)(95, 419, 185, 509, 186, 510)(96, 420, 187, 511, 188, 512)(97, 421, 189, 513, 190, 514)(98, 422, 191, 515, 192, 516)(99, 423, 175, 499, 193, 517)(100, 424, 194, 518, 195, 519)(101, 425, 165, 489, 196, 520)(102, 426, 197, 521, 198, 522)(103, 427, 199, 523, 200, 524)(104, 428, 201, 525, 202, 526)(105, 429, 203, 527, 173, 497)(106, 430, 204, 528, 205, 529)(107, 431, 206, 530, 207, 531)(108, 432, 208, 532, 209, 533)(109, 433, 210, 534, 158, 482)(159, 483, 250, 574, 249, 573)(160, 484, 230, 554, 254, 578)(161, 485, 265, 589, 266, 590)(162, 486, 224, 548, 237, 561)(163, 487, 267, 591, 268, 592)(164, 488, 252, 576, 269, 593)(166, 490, 222, 546, 270, 594)(167, 491, 228, 552, 243, 567)(168, 492, 271, 595, 272, 596)(169, 493, 225, 549, 273, 597)(170, 494, 274, 598, 214, 538)(171, 495, 275, 599, 233, 557)(172, 496, 232, 556, 263, 587)(174, 498, 240, 564, 276, 600)(176, 500, 217, 541, 234, 558)(177, 501, 277, 601, 278, 602)(178, 502, 260, 584, 279, 603)(179, 503, 280, 604, 221, 545)(180, 504, 257, 581, 281, 605)(181, 505, 282, 606, 251, 575)(182, 506, 264, 588, 211, 535)(212, 536, 292, 616, 303, 627)(213, 537, 304, 628, 288, 612)(215, 539, 305, 629, 286, 610)(216, 540, 306, 630, 235, 559)(218, 542, 307, 631, 298, 622)(219, 543, 283, 607, 302, 626)(220, 544, 301, 625, 308, 632)(223, 547, 309, 633, 238, 562)(226, 550, 310, 634, 291, 615)(227, 551, 311, 635, 244, 568)(229, 553, 312, 636, 255, 579)(231, 555, 294, 618, 293, 617)(236, 560, 296, 620, 313, 637)(239, 563, 259, 583, 314, 638)(241, 565, 315, 639, 284, 608)(242, 566, 289, 613, 316, 640)(245, 569, 300, 624, 317, 641)(246, 570, 318, 642, 256, 580)(247, 571, 299, 623, 319, 643)(248, 572, 320, 644, 295, 619)(253, 577, 321, 645, 285, 609)(258, 582, 322, 646, 287, 611)(261, 585, 323, 647, 290, 614)(262, 586, 324, 648, 297, 621)
	L = (1, 326)(2, 328)(3, 332)(4, 325)(5, 336)(6, 338)(7, 340)(8, 333)(9, 327)(10, 346)(11, 348)(12, 337)(13, 329)(14, 339)(15, 330)(16, 341)(17, 331)(18, 362)(19, 364)(20, 366)(21, 368)(22, 347)(23, 334)(24, 349)(25, 335)(26, 378)(27, 380)(28, 382)(29, 384)(30, 386)(31, 388)(32, 390)(33, 392)(34, 394)(35, 396)(36, 398)(37, 400)(38, 363)(39, 342)(40, 365)(41, 343)(42, 367)(43, 344)(44, 369)(45, 345)(46, 418)(47, 420)(48, 422)(49, 424)(50, 426)(51, 428)(52, 430)(53, 432)(54, 379)(55, 350)(56, 381)(57, 351)(58, 383)(59, 352)(60, 385)(61, 353)(62, 387)(63, 354)(64, 389)(65, 355)(66, 391)(67, 356)(68, 393)(69, 357)(70, 395)(71, 358)(72, 397)(73, 359)(74, 399)(75, 360)(76, 401)(77, 361)(78, 482)(79, 484)(80, 479)(81, 487)(82, 489)(83, 470)(84, 492)(85, 494)(86, 496)(87, 468)(88, 460)(89, 476)(90, 501)(91, 472)(92, 504)(93, 505)(94, 419)(95, 370)(96, 421)(97, 371)(98, 423)(99, 372)(100, 425)(101, 373)(102, 427)(103, 374)(104, 429)(105, 375)(106, 431)(107, 376)(108, 433)(109, 377)(110, 535)(111, 531)(112, 538)(113, 539)(114, 541)(115, 471)(116, 542)(117, 458)(118, 544)(119, 546)(120, 548)(121, 549)(122, 550)(123, 552)(124, 553)(125, 555)(126, 449)(127, 556)(128, 533)(129, 559)(130, 416)(131, 525)(132, 562)(133, 564)(134, 543)(135, 523)(136, 499)(137, 530)(138, 568)(139, 527)(140, 571)(141, 572)(142, 574)(143, 445)(144, 498)(145, 576)(146, 491)(147, 526)(148, 503)(149, 515)(150, 579)(151, 581)(152, 500)(153, 583)(154, 584)(155, 486)(156, 586)(157, 588)(158, 483)(159, 402)(160, 485)(161, 403)(162, 404)(163, 488)(164, 405)(165, 490)(166, 406)(167, 407)(168, 493)(169, 408)(170, 495)(171, 409)(172, 497)(173, 410)(174, 411)(175, 412)(176, 413)(177, 502)(178, 414)(179, 415)(180, 454)(181, 506)(182, 417)(183, 481)(184, 607)(185, 447)(186, 609)(187, 464)(188, 438)(189, 611)(190, 613)(191, 578)(192, 436)(193, 444)(194, 614)(195, 440)(196, 616)(197, 618)(198, 477)(199, 566)(200, 620)(201, 561)(202, 439)(203, 570)(204, 621)(205, 623)(206, 567)(207, 537)(208, 624)(209, 558)(210, 625)(211, 536)(212, 434)(213, 435)(214, 516)(215, 540)(216, 437)(217, 512)(218, 519)(219, 441)(220, 545)(221, 442)(222, 547)(223, 443)(224, 517)(225, 467)(226, 551)(227, 446)(228, 509)(229, 554)(230, 448)(231, 450)(232, 557)(233, 451)(234, 452)(235, 560)(236, 453)(237, 455)(238, 563)(239, 456)(240, 565)(241, 457)(242, 459)(243, 461)(244, 569)(245, 462)(246, 463)(247, 511)(248, 573)(249, 465)(250, 575)(251, 466)(252, 577)(253, 469)(254, 473)(255, 580)(256, 474)(257, 582)(258, 475)(259, 522)(260, 585)(261, 478)(262, 587)(263, 480)(264, 507)(265, 514)(266, 633)(267, 524)(268, 604)(269, 641)(270, 630)(271, 529)(272, 636)(273, 640)(274, 635)(275, 646)(276, 647)(277, 532)(278, 597)(279, 644)(280, 643)(281, 645)(282, 637)(283, 608)(284, 508)(285, 610)(286, 510)(287, 612)(288, 513)(289, 589)(290, 615)(291, 518)(292, 617)(293, 520)(294, 619)(295, 521)(296, 591)(297, 622)(298, 528)(299, 595)(300, 601)(301, 626)(302, 534)(303, 593)(304, 600)(305, 603)(306, 642)(307, 605)(308, 599)(309, 648)(310, 606)(311, 638)(312, 639)(313, 634)(314, 598)(315, 596)(316, 602)(317, 627)(318, 594)(319, 592)(320, 629)(321, 631)(322, 632)(323, 628)(324, 590)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.3202
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 108 e = 324 f = 162
	degree seq :: [ 6^108 ]

E28.3204 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6})
Quotient :: dipole
Aut^+ = (C2 x C2 x ((C3 x C3) : C3)) : C3 (small group id <324, 54>)
Aut   = $<648, 274>$ (small group id <648, 274>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^3, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1^-1)^3, Y2^6, (Y3^-1 * Y1^-1)^3, (Y2 * Y1^-1 * Y2)^3, Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^3 * Y1 * Y2^-1 * Y1^-1 * Y2, Y1 * Y2 * Y1^-1 * Y2^-3 * Y1 * Y2^-1 * Y1^-1 * Y2^-3, (Y2^-1 * Y1^-1 * Y2 * Y1^-1)^3, Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 ]
Map::
	R = (1, 325, 2, 326, 4, 328)(3, 327, 8, 332, 10, 334)(5, 329, 13, 337, 14, 338)(6, 330, 16, 340, 18, 342)(7, 331, 19, 343, 20, 344)(9, 333, 24, 348, 26, 350)(11, 335, 29, 353, 31, 355)(12, 336, 32, 356, 22, 346)(15, 339, 37, 361, 38, 362)(17, 341, 40, 364, 42, 366)(21, 345, 48, 372, 49, 373)(23, 347, 51, 375, 52, 376)(25, 349, 56, 380, 57, 381)(27, 351, 60, 384, 62, 386)(28, 352, 63, 387, 54, 378)(30, 354, 66, 390, 68, 392)(33, 357, 73, 397, 74, 398)(34, 358, 75, 399, 77, 401)(35, 359, 78, 402, 79, 403)(36, 360, 81, 405, 83, 407)(39, 363, 87, 411, 88, 412)(41, 365, 92, 416, 93, 417)(43, 367, 96, 420, 98, 422)(44, 368, 99, 423, 90, 414)(45, 369, 101, 425, 103, 427)(46, 370, 104, 428, 105, 429)(47, 371, 107, 431, 109, 433)(50, 374, 112, 436, 114, 438)(53, 377, 118, 442, 119, 443)(55, 379, 121, 445, 122, 446)(58, 382, 128, 452, 129, 453)(59, 383, 130, 454, 124, 448)(61, 385, 133, 457, 80, 404)(64, 388, 139, 463, 140, 464)(65, 389, 141, 465, 142, 466)(67, 391, 146, 470, 147, 471)(69, 393, 149, 473, 151, 475)(70, 394, 152, 476, 144, 468)(71, 395, 154, 478, 156, 480)(72, 396, 157, 481, 158, 482)(76, 400, 163, 487, 165, 489)(82, 406, 172, 496, 173, 497)(84, 408, 127, 451, 177, 501)(85, 409, 178, 502, 179, 503)(86, 410, 180, 504, 182, 506)(89, 413, 186, 510, 187, 511)(91, 415, 189, 513, 190, 514)(94, 418, 195, 519, 196, 520)(95, 419, 197, 521, 192, 516)(97, 421, 200, 524, 106, 430)(100, 424, 205, 529, 206, 530)(102, 426, 208, 532, 210, 534)(108, 432, 217, 541, 126, 450)(110, 434, 194, 518, 164, 488)(111, 435, 220, 544, 222, 546)(113, 437, 224, 548, 193, 517)(115, 439, 227, 551, 229, 553)(116, 440, 213, 537, 230, 554)(117, 441, 232, 556, 233, 557)(120, 444, 235, 559, 183, 507)(123, 447, 181, 505, 238, 562)(125, 449, 240, 564, 143, 467)(131, 455, 241, 565, 242, 566)(132, 456, 211, 535, 243, 567)(134, 458, 246, 570, 148, 472)(135, 459, 201, 525, 248, 572)(136, 460, 218, 542, 244, 568)(137, 461, 250, 574, 251, 575)(138, 462, 215, 539, 252, 576)(145, 469, 258, 582, 259, 583)(150, 474, 261, 585, 159, 483)(153, 477, 265, 589, 266, 590)(155, 479, 268, 592, 231, 555)(160, 484, 239, 563, 209, 533)(161, 485, 274, 598, 276, 600)(162, 486, 226, 550, 277, 601)(166, 490, 247, 571, 260, 584)(167, 491, 280, 604, 278, 602)(168, 492, 245, 569, 256, 580)(169, 493, 214, 538, 272, 596)(170, 494, 282, 606, 264, 588)(171, 495, 283, 607, 284, 608)(174, 498, 285, 609, 262, 586)(175, 499, 286, 610, 207, 531)(176, 500, 288, 612, 253, 577)(184, 508, 271, 595, 292, 616)(185, 509, 293, 617, 294, 618)(188, 512, 295, 619, 255, 579)(191, 515, 221, 545, 298, 622)(198, 522, 299, 623, 300, 624)(199, 523, 269, 593, 301, 625)(202, 526, 225, 549, 302, 626)(203, 527, 304, 628, 305, 629)(204, 528, 273, 597, 306, 630)(212, 536, 228, 552, 308, 632)(216, 540, 236, 560, 311, 635)(219, 543, 312, 636, 267, 591)(223, 547, 296, 620, 314, 638)(234, 558, 275, 599, 316, 640)(237, 561, 310, 634, 317, 641)(249, 573, 313, 637, 319, 643)(254, 578, 303, 627, 320, 644)(257, 581, 318, 642, 290, 614)(263, 587, 323, 647, 287, 611)(270, 594, 291, 615, 324, 648)(279, 603, 297, 621, 315, 639)(281, 605, 309, 633, 321, 645)(289, 613, 307, 631, 322, 646)(649, 973, 651, 975, 657, 981, 673, 997, 663, 987, 653, 977)(650, 974, 654, 978, 665, 989, 689, 1013, 669, 993, 655, 979)(652, 976, 659, 983, 678, 1002, 715, 1039, 681, 1005, 660, 984)(656, 980, 670, 994, 698, 1022, 761, 1085, 701, 1025, 671, 995)(658, 982, 675, 999, 709, 1033, 782, 1106, 712, 1036, 676, 1000)(661, 985, 682, 1006, 724, 1048, 812, 1136, 728, 1052, 683, 1007)(662, 986, 684, 1008, 730, 1054, 737, 1061, 687, 1011, 664, 988)(666, 990, 691, 1015, 745, 1069, 778, 1102, 748, 1072, 692, 1016)(667, 991, 693, 1017, 750, 1074, 857, 1181, 754, 1078, 694, 1018)(668, 992, 695, 1019, 756, 1080, 791, 1115, 713, 1037, 677, 1001)(672, 996, 702, 1026, 768, 1092, 835, 1159, 771, 1095, 703, 1027)(674, 998, 706, 1030, 696, 1020, 758, 1082, 779, 1103, 707, 1031)(679, 1003, 717, 1041, 798, 1122, 845, 1169, 801, 1125, 718, 1042)(680, 1004, 719, 1043, 803, 1127, 825, 1149, 807, 1131, 720, 1044)(685, 1009, 732, 1056, 824, 1148, 796, 1120, 716, 1040, 733, 1057)(686, 1010, 734, 1058, 829, 1153, 872, 1196, 810, 1134, 723, 1047)(688, 1012, 738, 1062, 836, 1160, 888, 1212, 839, 1163, 739, 1063)(690, 1014, 742, 1066, 721, 1045, 808, 1132, 846, 1170, 743, 1067)(697, 1021, 759, 1083, 869, 1193, 820, 1144, 855, 1179, 749, 1073)(699, 1023, 763, 1087, 876, 1200, 936, 1260, 879, 1203, 764, 1088)(700, 1024, 765, 1089, 828, 1152, 827, 1151, 780, 1104, 708, 1032)(704, 1028, 772, 1096, 887, 1211, 795, 1119, 821, 1145, 773, 1097)(705, 1029, 774, 1098, 766, 1090, 740, 1064, 840, 1164, 775, 1099)(710, 1034, 783, 1107, 895, 1219, 925, 1249, 897, 1221, 784, 1108)(711, 1035, 785, 1109, 815, 1139, 725, 1049, 814, 1138, 786, 1110)(714, 1038, 792, 1116, 875, 1199, 767, 1091, 882, 1206, 793, 1117)(722, 1046, 809, 1133, 923, 1247, 865, 1189, 915, 1239, 802, 1126)(726, 1050, 816, 1140, 929, 1253, 883, 1207, 900, 1224, 817, 1141)(727, 1051, 818, 1142, 776, 1100, 770, 1094, 819, 1143, 729, 1053)(731, 1055, 822, 1146, 853, 1177, 890, 1214, 935, 1259, 823, 1147)(735, 1059, 831, 1155, 939, 1263, 889, 1213, 813, 1137, 832, 1156)(736, 1060, 833, 1157, 868, 1192, 777, 1101, 847, 1171, 744, 1068)(741, 1065, 841, 1165, 834, 1158, 794, 1118, 894, 1218, 842, 1166)(746, 1070, 849, 1173, 891, 1215, 934, 1258, 951, 1275, 850, 1174)(747, 1071, 851, 1175, 860, 1184, 751, 1075, 859, 1183, 852, 1176)(752, 1076, 861, 1185, 958, 1282, 943, 1267, 954, 1278, 862, 1186)(753, 1077, 863, 1187, 843, 1167, 838, 1162, 864, 1188, 755, 1079)(757, 1081, 866, 1190, 913, 1237, 948, 1272, 899, 1223, 867, 1191)(760, 1084, 806, 1130, 921, 1245, 826, 1150, 907, 1231, 871, 1195)(762, 1086, 873, 1197, 787, 1111, 901, 1225, 953, 1277, 874, 1198)(769, 1093, 884, 1208, 927, 1251, 811, 1135, 926, 1250, 885, 1209)(781, 1105, 892, 1216, 959, 1283, 886, 1210, 966, 1290, 893, 1217)(788, 1112, 902, 1226, 938, 1262, 830, 1154, 937, 1261, 898, 1222)(789, 1113, 903, 1227, 928, 1252, 947, 1271, 858, 1182, 904, 1228)(790, 1114, 905, 1229, 922, 1246, 844, 1168, 908, 1232, 797, 1121)(799, 1123, 896, 1220, 949, 1273, 960, 1284, 970, 1294, 910, 1234)(800, 1124, 911, 1235, 918, 1242, 804, 1128, 917, 1241, 912, 1236)(805, 1129, 919, 1243, 963, 1287, 877, 1201, 930, 1254, 920, 1244)(837, 1161, 944, 1268, 957, 1281, 856, 1180, 956, 1280, 945, 1269)(848, 1172, 950, 1274, 962, 1286, 946, 1270, 880, 1204, 878, 1202)(854, 1178, 955, 1279, 881, 1205, 870, 1194, 961, 1285, 952, 1276)(906, 1230, 931, 1255, 965, 1289, 916, 1240, 972, 1296, 969, 1293)(909, 1233, 933, 1257, 932, 1256, 964, 1288, 941, 1265, 940, 1264)(914, 1238, 967, 1291, 942, 1266, 924, 1248, 968, 1292, 971, 1295)
	L = (1, 651)(2, 654)(3, 657)(4, 659)(5, 649)(6, 665)(7, 650)(8, 670)(9, 673)(10, 675)(11, 678)(12, 652)(13, 682)(14, 684)(15, 653)(16, 662)(17, 689)(18, 691)(19, 693)(20, 695)(21, 655)(22, 698)(23, 656)(24, 702)(25, 663)(26, 706)(27, 709)(28, 658)(29, 668)(30, 715)(31, 717)(32, 719)(33, 660)(34, 724)(35, 661)(36, 730)(37, 732)(38, 734)(39, 664)(40, 738)(41, 669)(42, 742)(43, 745)(44, 666)(45, 750)(46, 667)(47, 756)(48, 758)(49, 759)(50, 761)(51, 763)(52, 765)(53, 671)(54, 768)(55, 672)(56, 772)(57, 774)(58, 696)(59, 674)(60, 700)(61, 782)(62, 783)(63, 785)(64, 676)(65, 677)(66, 792)(67, 681)(68, 733)(69, 798)(70, 679)(71, 803)(72, 680)(73, 808)(74, 809)(75, 686)(76, 812)(77, 814)(78, 816)(79, 818)(80, 683)(81, 727)(82, 737)(83, 822)(84, 824)(85, 685)(86, 829)(87, 831)(88, 833)(89, 687)(90, 836)(91, 688)(92, 840)(93, 841)(94, 721)(95, 690)(96, 736)(97, 778)(98, 849)(99, 851)(100, 692)(101, 697)(102, 857)(103, 859)(104, 861)(105, 863)(106, 694)(107, 753)(108, 791)(109, 866)(110, 779)(111, 869)(112, 806)(113, 701)(114, 873)(115, 876)(116, 699)(117, 828)(118, 740)(119, 882)(120, 835)(121, 884)(122, 819)(123, 703)(124, 887)(125, 704)(126, 766)(127, 705)(128, 770)(129, 847)(130, 748)(131, 707)(132, 708)(133, 892)(134, 712)(135, 895)(136, 710)(137, 815)(138, 711)(139, 901)(140, 902)(141, 903)(142, 905)(143, 713)(144, 875)(145, 714)(146, 894)(147, 821)(148, 716)(149, 790)(150, 845)(151, 896)(152, 911)(153, 718)(154, 722)(155, 825)(156, 917)(157, 919)(158, 921)(159, 720)(160, 846)(161, 923)(162, 723)(163, 926)(164, 728)(165, 832)(166, 786)(167, 725)(168, 929)(169, 726)(170, 776)(171, 729)(172, 855)(173, 773)(174, 853)(175, 731)(176, 796)(177, 807)(178, 907)(179, 780)(180, 827)(181, 872)(182, 937)(183, 939)(184, 735)(185, 868)(186, 794)(187, 771)(188, 888)(189, 944)(190, 864)(191, 739)(192, 775)(193, 834)(194, 741)(195, 838)(196, 908)(197, 801)(198, 743)(199, 744)(200, 950)(201, 891)(202, 746)(203, 860)(204, 747)(205, 890)(206, 955)(207, 749)(208, 956)(209, 754)(210, 904)(211, 852)(212, 751)(213, 958)(214, 752)(215, 843)(216, 755)(217, 915)(218, 913)(219, 757)(220, 777)(221, 820)(222, 961)(223, 760)(224, 810)(225, 787)(226, 762)(227, 767)(228, 936)(229, 930)(230, 848)(231, 764)(232, 878)(233, 870)(234, 793)(235, 900)(236, 927)(237, 769)(238, 966)(239, 795)(240, 839)(241, 813)(242, 935)(243, 934)(244, 959)(245, 781)(246, 842)(247, 925)(248, 949)(249, 784)(250, 788)(251, 867)(252, 817)(253, 953)(254, 938)(255, 928)(256, 789)(257, 922)(258, 931)(259, 871)(260, 797)(261, 933)(262, 799)(263, 918)(264, 800)(265, 948)(266, 967)(267, 802)(268, 972)(269, 912)(270, 804)(271, 963)(272, 805)(273, 826)(274, 844)(275, 865)(276, 968)(277, 897)(278, 885)(279, 811)(280, 947)(281, 883)(282, 920)(283, 965)(284, 964)(285, 932)(286, 951)(287, 823)(288, 879)(289, 898)(290, 830)(291, 889)(292, 909)(293, 940)(294, 924)(295, 954)(296, 957)(297, 837)(298, 880)(299, 858)(300, 899)(301, 960)(302, 962)(303, 850)(304, 854)(305, 874)(306, 862)(307, 881)(308, 945)(309, 856)(310, 943)(311, 886)(312, 970)(313, 952)(314, 946)(315, 877)(316, 941)(317, 916)(318, 893)(319, 942)(320, 971)(321, 906)(322, 910)(323, 914)(324, 969)(325, 973)(326, 974)(327, 975)(328, 976)(329, 977)(330, 978)(331, 979)(332, 980)(333, 981)(334, 982)(335, 983)(336, 984)(337, 985)(338, 986)(339, 987)(340, 988)(341, 989)(342, 990)(343, 991)(344, 992)(345, 993)(346, 994)(347, 995)(348, 996)(349, 997)(350, 998)(351, 999)(352, 1000)(353, 1001)(354, 1002)(355, 1003)(356, 1004)(357, 1005)(358, 1006)(359, 1007)(360, 1008)(361, 1009)(362, 1010)(363, 1011)(364, 1012)(365, 1013)(366, 1014)(367, 1015)(368, 1016)(369, 1017)(370, 1018)(371, 1019)(372, 1020)(373, 1021)(374, 1022)(375, 1023)(376, 1024)(377, 1025)(378, 1026)(379, 1027)(380, 1028)(381, 1029)(382, 1030)(383, 1031)(384, 1032)(385, 1033)(386, 1034)(387, 1035)(388, 1036)(389, 1037)(390, 1038)(391, 1039)(392, 1040)(393, 1041)(394, 1042)(395, 1043)(396, 1044)(397, 1045)(398, 1046)(399, 1047)(400, 1048)(401, 1049)(402, 1050)(403, 1051)(404, 1052)(405, 1053)(406, 1054)(407, 1055)(408, 1056)(409, 1057)(410, 1058)(411, 1059)(412, 1060)(413, 1061)(414, 1062)(415, 1063)(416, 1064)(417, 1065)(418, 1066)(419, 1067)(420, 1068)(421, 1069)(422, 1070)(423, 1071)(424, 1072)(425, 1073)(426, 1074)(427, 1075)(428, 1076)(429, 1077)(430, 1078)(431, 1079)(432, 1080)(433, 1081)(434, 1082)(435, 1083)(436, 1084)(437, 1085)(438, 1086)(439, 1087)(440, 1088)(441, 1089)(442, 1090)(443, 1091)(444, 1092)(445, 1093)(446, 1094)(447, 1095)(448, 1096)(449, 1097)(450, 1098)(451, 1099)(452, 1100)(453, 1101)(454, 1102)(455, 1103)(456, 1104)(457, 1105)(458, 1106)(459, 1107)(460, 1108)(461, 1109)(462, 1110)(463, 1111)(464, 1112)(465, 1113)(466, 1114)(467, 1115)(468, 1116)(469, 1117)(470, 1118)(471, 1119)(472, 1120)(473, 1121)(474, 1122)(475, 1123)(476, 1124)(477, 1125)(478, 1126)(479, 1127)(480, 1128)(481, 1129)(482, 1130)(483, 1131)(484, 1132)(485, 1133)(486, 1134)(487, 1135)(488, 1136)(489, 1137)(490, 1138)(491, 1139)(492, 1140)(493, 1141)(494, 1142)(495, 1143)(496, 1144)(497, 1145)(498, 1146)(499, 1147)(500, 1148)(501, 1149)(502, 1150)(503, 1151)(504, 1152)(505, 1153)(506, 1154)(507, 1155)(508, 1156)(509, 1157)(510, 1158)(511, 1159)(512, 1160)(513, 1161)(514, 1162)(515, 1163)(516, 1164)(517, 1165)(518, 1166)(519, 1167)(520, 1168)(521, 1169)(522, 1170)(523, 1171)(524, 1172)(525, 1173)(526, 1174)(527, 1175)(528, 1176)(529, 1177)(530, 1178)(531, 1179)(532, 1180)(533, 1181)(534, 1182)(535, 1183)(536, 1184)(537, 1185)(538, 1186)(539, 1187)(540, 1188)(541, 1189)(542, 1190)(543, 1191)(544, 1192)(545, 1193)(546, 1194)(547, 1195)(548, 1196)(549, 1197)(550, 1198)(551, 1199)(552, 1200)(553, 1201)(554, 1202)(555, 1203)(556, 1204)(557, 1205)(558, 1206)(559, 1207)(560, 1208)(561, 1209)(562, 1210)(563, 1211)(564, 1212)(565, 1213)(566, 1214)(567, 1215)(568, 1216)(569, 1217)(570, 1218)(571, 1219)(572, 1220)(573, 1221)(574, 1222)(575, 1223)(576, 1224)(577, 1225)(578, 1226)(579, 1227)(580, 1228)(581, 1229)(582, 1230)(583, 1231)(584, 1232)(585, 1233)(586, 1234)(587, 1235)(588, 1236)(589, 1237)(590, 1238)(591, 1239)(592, 1240)(593, 1241)(594, 1242)(595, 1243)(596, 1244)(597, 1245)(598, 1246)(599, 1247)(600, 1248)(601, 1249)(602, 1250)(603, 1251)(604, 1252)(605, 1253)(606, 1254)(607, 1255)(608, 1256)(609, 1257)(610, 1258)(611, 1259)(612, 1260)(613, 1261)(614, 1262)(615, 1263)(616, 1264)(617, 1265)(618, 1266)(619, 1267)(620, 1268)(621, 1269)(622, 1270)(623, 1271)(624, 1272)(625, 1273)(626, 1274)(627, 1275)(628, 1276)(629, 1277)(630, 1278)(631, 1279)(632, 1280)(633, 1281)(634, 1282)(635, 1283)(636, 1284)(637, 1285)(638, 1286)(639, 1287)(640, 1288)(641, 1289)(642, 1290)(643, 1291)(644, 1292)(645, 1293)(646, 1294)(647, 1295)(648, 1296)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.3205
Graph:: bipartite
	v = 162 e = 648 f = 432
	degree seq :: [ 6^108, 12^54 ]

E28.3205 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6})
Quotient :: dipole
Aut^+ = (C2 x C2 x ((C3 x C3) : C3)) : C3 (small group id <324, 54>)
Aut   = $<648, 274>$ (small group id <648, 274>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^6, (Y3 * Y2^-1)^3, (Y3^-1 * Y2^-1 * Y3^-1)^3, Y3^4 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2 * Y2^-1, Y3^2 * Y2^-1 * Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-1 * Y2^-1 * Y3, Y3^2 * Y2^-1 * Y3^-1 * Y2 * Y3^-3 * Y2^-1 * Y3 * Y2 * Y3, (Y3^-1 * Y1^-1)^6, Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 ]
Map:: polytopal
	R = (1, 325)(2, 326)(3, 327)(4, 328)(5, 329)(6, 330)(7, 331)(8, 332)(9, 333)(10, 334)(11, 335)(12, 336)(13, 337)(14, 338)(15, 339)(16, 340)(17, 341)(18, 342)(19, 343)(20, 344)(21, 345)(22, 346)(23, 347)(24, 348)(25, 349)(26, 350)(27, 351)(28, 352)(29, 353)(30, 354)(31, 355)(32, 356)(33, 357)(34, 358)(35, 359)(36, 360)(37, 361)(38, 362)(39, 363)(40, 364)(41, 365)(42, 366)(43, 367)(44, 368)(45, 369)(46, 370)(47, 371)(48, 372)(49, 373)(50, 374)(51, 375)(52, 376)(53, 377)(54, 378)(55, 379)(56, 380)(57, 381)(58, 382)(59, 383)(60, 384)(61, 385)(62, 386)(63, 387)(64, 388)(65, 389)(66, 390)(67, 391)(68, 392)(69, 393)(70, 394)(71, 395)(72, 396)(73, 397)(74, 398)(75, 399)(76, 400)(77, 401)(78, 402)(79, 403)(80, 404)(81, 405)(82, 406)(83, 407)(84, 408)(85, 409)(86, 410)(87, 411)(88, 412)(89, 413)(90, 414)(91, 415)(92, 416)(93, 417)(94, 418)(95, 419)(96, 420)(97, 421)(98, 422)(99, 423)(100, 424)(101, 425)(102, 426)(103, 427)(104, 428)(105, 429)(106, 430)(107, 431)(108, 432)(109, 433)(110, 434)(111, 435)(112, 436)(113, 437)(114, 438)(115, 439)(116, 440)(117, 441)(118, 442)(119, 443)(120, 444)(121, 445)(122, 446)(123, 447)(124, 448)(125, 449)(126, 450)(127, 451)(128, 452)(129, 453)(130, 454)(131, 455)(132, 456)(133, 457)(134, 458)(135, 459)(136, 460)(137, 461)(138, 462)(139, 463)(140, 464)(141, 465)(142, 466)(143, 467)(144, 468)(145, 469)(146, 470)(147, 471)(148, 472)(149, 473)(150, 474)(151, 475)(152, 476)(153, 477)(154, 478)(155, 479)(156, 480)(157, 481)(158, 482)(159, 483)(160, 484)(161, 485)(162, 486)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)(649, 973, 650, 974, 652, 976)(651, 975, 656, 980, 658, 982)(653, 977, 661, 985, 662, 986)(654, 978, 664, 988, 666, 990)(655, 979, 667, 991, 668, 992)(657, 981, 672, 996, 674, 998)(659, 983, 676, 1000, 678, 1002)(660, 984, 679, 1003, 680, 1004)(663, 987, 685, 1009, 686, 1010)(665, 989, 689, 1013, 691, 1015)(669, 993, 696, 1020, 697, 1021)(670, 994, 698, 1022, 700, 1024)(671, 995, 701, 1025, 702, 1026)(673, 997, 706, 1030, 707, 1031)(675, 999, 709, 1033, 710, 1034)(677, 1001, 714, 1038, 716, 1040)(681, 1005, 721, 1045, 722, 1046)(682, 1006, 723, 1047, 725, 1049)(683, 1007, 726, 1050, 728, 1052)(684, 1008, 729, 1053, 730, 1054)(687, 1011, 735, 1059, 737, 1061)(688, 1012, 738, 1062, 739, 1063)(690, 1014, 742, 1066, 743, 1067)(692, 1016, 745, 1069, 746, 1070)(693, 1017, 748, 1072, 750, 1074)(694, 1018, 751, 1075, 753, 1077)(695, 1019, 754, 1078, 755, 1079)(699, 1023, 731, 1055, 763, 1087)(703, 1027, 768, 1092, 769, 1093)(704, 1028, 770, 1094, 771, 1095)(705, 1029, 772, 1096, 773, 1097)(708, 1032, 778, 1102, 779, 1103)(711, 1035, 784, 1108, 785, 1109)(712, 1036, 786, 1110, 788, 1112)(713, 1037, 789, 1113, 790, 1114)(715, 1039, 793, 1117, 794, 1118)(717, 1041, 796, 1120, 797, 1121)(718, 1042, 799, 1123, 801, 1125)(719, 1043, 802, 1126, 804, 1128)(720, 1044, 805, 1129, 806, 1130)(724, 1048, 812, 1136, 813, 1137)(727, 1051, 817, 1141, 819, 1143)(732, 1056, 824, 1148, 826, 1150)(733, 1057, 827, 1151, 776, 1100)(734, 1058, 829, 1153, 830, 1154)(736, 1060, 756, 1080, 834, 1158)(740, 1064, 839, 1163, 840, 1164)(741, 1065, 841, 1165, 762, 1086)(744, 1068, 844, 1168, 845, 1169)(747, 1071, 850, 1174, 777, 1101)(749, 1073, 853, 1177, 854, 1178)(752, 1076, 858, 1182, 859, 1183)(757, 1081, 864, 1188, 866, 1190)(758, 1082, 867, 1191, 842, 1166)(759, 1083, 869, 1193, 870, 1194)(760, 1084, 831, 1155, 872, 1196)(761, 1085, 873, 1197, 874, 1198)(764, 1088, 877, 1201, 878, 1202)(765, 1089, 879, 1203, 881, 1205)(766, 1090, 882, 1206, 883, 1207)(767, 1091, 884, 1208, 885, 1209)(774, 1098, 890, 1214, 891, 1215)(775, 1099, 892, 1216, 800, 1124)(780, 1104, 896, 1220, 825, 1149)(781, 1105, 897, 1221, 898, 1222)(782, 1106, 899, 1223, 836, 1160)(783, 1107, 901, 1225, 902, 1226)(787, 1111, 807, 1131, 904, 1228)(791, 1115, 908, 1232, 909, 1233)(792, 1116, 893, 1217, 833, 1157)(795, 1119, 911, 1235, 912, 1236)(798, 1122, 880, 1204, 843, 1167)(803, 1127, 919, 1243, 920, 1244)(808, 1132, 923, 1247, 889, 1213)(809, 1133, 818, 1142, 910, 1234)(810, 1134, 832, 1156, 925, 1249)(811, 1135, 921, 1245, 926, 1250)(814, 1138, 928, 1252, 929, 1253)(815, 1139, 835, 1159, 871, 1195)(816, 1140, 930, 1254, 931, 1255)(820, 1144, 933, 1257, 852, 1176)(821, 1145, 838, 1162, 934, 1258)(822, 1146, 849, 1173, 876, 1200)(823, 1147, 863, 1187, 922, 1246)(828, 1152, 887, 1211, 938, 1262)(837, 1161, 927, 1251, 942, 1266)(846, 1170, 946, 1270, 865, 1189)(847, 1171, 937, 1261, 947, 1271)(848, 1172, 948, 1272, 905, 1229)(851, 1175, 903, 1227, 949, 1273)(855, 1179, 951, 1275, 952, 1276)(856, 1180, 888, 1212, 939, 1263)(857, 1181, 953, 1277, 954, 1278)(860, 1184, 956, 1280, 916, 1240)(861, 1185, 907, 1231, 957, 1281)(862, 1186, 915, 1239, 941, 1265)(868, 1192, 944, 1268, 961, 1285)(875, 1199, 943, 1267, 963, 1287)(886, 1210, 959, 1283, 964, 1288)(894, 1218, 917, 1241, 962, 1286)(895, 1219, 955, 1279, 965, 1289)(900, 1224, 918, 1242, 968, 1292)(906, 1230, 950, 1274, 969, 1293)(913, 1237, 967, 1291, 924, 1248)(914, 1238, 960, 1284, 971, 1295)(932, 1256, 958, 1282, 970, 1294)(935, 1259, 945, 1269, 972, 1296)(936, 1260, 940, 1264, 966, 1290)
	L = (1, 651)(2, 654)(3, 657)(4, 659)(5, 649)(6, 665)(7, 650)(8, 670)(9, 673)(10, 667)(11, 677)(12, 652)(13, 682)(14, 683)(15, 653)(16, 687)(17, 690)(18, 679)(19, 693)(20, 694)(21, 655)(22, 699)(23, 656)(24, 704)(25, 663)(26, 701)(27, 658)(28, 712)(29, 715)(30, 661)(31, 718)(32, 719)(33, 660)(34, 724)(35, 727)(36, 662)(37, 732)(38, 733)(39, 736)(40, 664)(41, 734)(42, 669)(43, 738)(44, 666)(45, 749)(46, 752)(47, 668)(48, 757)(49, 758)(50, 760)(51, 762)(52, 709)(53, 765)(54, 766)(55, 671)(56, 722)(57, 672)(58, 775)(59, 772)(60, 674)(61, 781)(62, 782)(63, 675)(64, 787)(65, 676)(66, 759)(67, 681)(68, 789)(69, 678)(70, 800)(71, 803)(72, 680)(73, 808)(74, 809)(75, 810)(76, 798)(77, 729)(78, 815)(79, 818)(80, 685)(81, 821)(82, 822)(83, 684)(84, 825)(85, 828)(86, 686)(87, 831)(88, 833)(89, 745)(90, 836)(91, 837)(92, 688)(93, 689)(94, 812)(95, 841)(96, 691)(97, 847)(98, 848)(99, 692)(100, 851)(101, 711)(102, 754)(103, 856)(104, 827)(105, 696)(106, 861)(107, 862)(108, 695)(109, 865)(110, 868)(111, 697)(112, 871)(113, 698)(114, 703)(115, 873)(116, 700)(117, 880)(118, 816)(119, 702)(120, 886)(121, 887)(122, 888)(123, 778)(124, 842)(125, 791)(126, 705)(127, 785)(128, 706)(129, 707)(130, 814)(131, 894)(132, 708)(133, 826)(134, 900)(135, 710)(136, 846)(137, 794)(138, 872)(139, 773)(140, 796)(141, 905)(142, 906)(143, 713)(144, 714)(145, 853)(146, 893)(147, 716)(148, 914)(149, 879)(150, 717)(151, 874)(152, 747)(153, 805)(154, 878)(155, 867)(156, 721)(157, 885)(158, 902)(159, 720)(160, 924)(161, 774)(162, 909)(163, 723)(164, 777)(165, 921)(166, 725)(167, 767)(168, 726)(169, 915)(170, 731)(171, 930)(172, 728)(173, 771)(174, 935)(175, 730)(176, 936)(177, 854)(178, 829)(179, 756)(180, 741)(181, 764)(182, 844)(183, 939)(184, 735)(185, 740)(186, 925)(187, 737)(188, 784)(189, 857)(190, 739)(191, 943)(192, 944)(193, 910)(194, 742)(195, 743)(196, 855)(197, 929)(198, 744)(199, 866)(200, 931)(201, 746)(202, 913)(203, 769)(204, 748)(205, 843)(206, 820)(207, 750)(208, 838)(209, 751)(210, 783)(211, 953)(212, 753)(213, 830)(214, 958)(215, 755)(216, 959)(217, 892)(218, 869)(219, 807)(220, 792)(221, 835)(222, 911)(223, 933)(224, 877)(225, 962)(226, 840)(227, 761)(228, 763)(229, 926)(230, 907)(231, 954)(232, 780)(233, 884)(234, 916)(235, 768)(236, 823)(237, 870)(238, 937)(239, 950)(240, 788)(241, 770)(242, 927)(243, 817)(244, 860)(245, 776)(246, 932)(247, 779)(248, 947)(249, 923)(250, 901)(251, 934)(252, 938)(253, 904)(254, 965)(255, 786)(256, 949)(257, 850)(258, 918)(259, 790)(260, 966)(261, 890)(262, 793)(263, 917)(264, 952)(265, 795)(266, 889)(267, 797)(268, 799)(269, 801)(270, 802)(271, 849)(272, 968)(273, 804)(274, 806)(275, 963)(276, 813)(277, 928)(278, 964)(279, 811)(280, 946)(281, 955)(282, 895)(283, 961)(284, 819)(285, 875)(286, 863)(287, 881)(288, 883)(289, 824)(290, 858)(291, 956)(292, 832)(293, 834)(294, 839)(295, 960)(296, 882)(297, 845)(298, 971)(299, 876)(300, 957)(301, 951)(302, 852)(303, 967)(304, 972)(305, 945)(306, 891)(307, 859)(308, 940)(309, 922)(310, 899)(311, 942)(312, 864)(313, 919)(314, 896)(315, 969)(316, 903)(317, 948)(318, 897)(319, 898)(320, 970)(321, 908)(322, 912)(323, 941)(324, 920)(325, 973)(326, 974)(327, 975)(328, 976)(329, 977)(330, 978)(331, 979)(332, 980)(333, 981)(334, 982)(335, 983)(336, 984)(337, 985)(338, 986)(339, 987)(340, 988)(341, 989)(342, 990)(343, 991)(344, 992)(345, 993)(346, 994)(347, 995)(348, 996)(349, 997)(350, 998)(351, 999)(352, 1000)(353, 1001)(354, 1002)(355, 1003)(356, 1004)(357, 1005)(358, 1006)(359, 1007)(360, 1008)(361, 1009)(362, 1010)(363, 1011)(364, 1012)(365, 1013)(366, 1014)(367, 1015)(368, 1016)(369, 1017)(370, 1018)(371, 1019)(372, 1020)(373, 1021)(374, 1022)(375, 1023)(376, 1024)(377, 1025)(378, 1026)(379, 1027)(380, 1028)(381, 1029)(382, 1030)(383, 1031)(384, 1032)(385, 1033)(386, 1034)(387, 1035)(388, 1036)(389, 1037)(390, 1038)(391, 1039)(392, 1040)(393, 1041)(394, 1042)(395, 1043)(396, 1044)(397, 1045)(398, 1046)(399, 1047)(400, 1048)(401, 1049)(402, 1050)(403, 1051)(404, 1052)(405, 1053)(406, 1054)(407, 1055)(408, 1056)(409, 1057)(410, 1058)(411, 1059)(412, 1060)(413, 1061)(414, 1062)(415, 1063)(416, 1064)(417, 1065)(418, 1066)(419, 1067)(420, 1068)(421, 1069)(422, 1070)(423, 1071)(424, 1072)(425, 1073)(426, 1074)(427, 1075)(428, 1076)(429, 1077)(430, 1078)(431, 1079)(432, 1080)(433, 1081)(434, 1082)(435, 1083)(436, 1084)(437, 1085)(438, 1086)(439, 1087)(440, 1088)(441, 1089)(442, 1090)(443, 1091)(444, 1092)(445, 1093)(446, 1094)(447, 1095)(448, 1096)(449, 1097)(450, 1098)(451, 1099)(452, 1100)(453, 1101)(454, 1102)(455, 1103)(456, 1104)(457, 1105)(458, 1106)(459, 1107)(460, 1108)(461, 1109)(462, 1110)(463, 1111)(464, 1112)(465, 1113)(466, 1114)(467, 1115)(468, 1116)(469, 1117)(470, 1118)(471, 1119)(472, 1120)(473, 1121)(474, 1122)(475, 1123)(476, 1124)(477, 1125)(478, 1126)(479, 1127)(480, 1128)(481, 1129)(482, 1130)(483, 1131)(484, 1132)(485, 1133)(486, 1134)(487, 1135)(488, 1136)(489, 1137)(490, 1138)(491, 1139)(492, 1140)(493, 1141)(494, 1142)(495, 1143)(496, 1144)(497, 1145)(498, 1146)(499, 1147)(500, 1148)(501, 1149)(502, 1150)(503, 1151)(504, 1152)(505, 1153)(506, 1154)(507, 1155)(508, 1156)(509, 1157)(510, 1158)(511, 1159)(512, 1160)(513, 1161)(514, 1162)(515, 1163)(516, 1164)(517, 1165)(518, 1166)(519, 1167)(520, 1168)(521, 1169)(522, 1170)(523, 1171)(524, 1172)(525, 1173)(526, 1174)(527, 1175)(528, 1176)(529, 1177)(530, 1178)(531, 1179)(532, 1180)(533, 1181)(534, 1182)(535, 1183)(536, 1184)(537, 1185)(538, 1186)(539, 1187)(540, 1188)(541, 1189)(542, 1190)(543, 1191)(544, 1192)(545, 1193)(546, 1194)(547, 1195)(548, 1196)(549, 1197)(550, 1198)(551, 1199)(552, 1200)(553, 1201)(554, 1202)(555, 1203)(556, 1204)(557, 1205)(558, 1206)(559, 1207)(560, 1208)(561, 1209)(562, 1210)(563, 1211)(564, 1212)(565, 1213)(566, 1214)(567, 1215)(568, 1216)(569, 1217)(570, 1218)(571, 1219)(572, 1220)(573, 1221)(574, 1222)(575, 1223)(576, 1224)(577, 1225)(578, 1226)(579, 1227)(580, 1228)(581, 1229)(582, 1230)(583, 1231)(584, 1232)(585, 1233)(586, 1234)(587, 1235)(588, 1236)(589, 1237)(590, 1238)(591, 1239)(592, 1240)(593, 1241)(594, 1242)(595, 1243)(596, 1244)(597, 1245)(598, 1246)(599, 1247)(600, 1248)(601, 1249)(602, 1250)(603, 1251)(604, 1252)(605, 1253)(606, 1254)(607, 1255)(608, 1256)(609, 1257)(610, 1258)(611, 1259)(612, 1260)(613, 1261)(614, 1262)(615, 1263)(616, 1264)(617, 1265)(618, 1266)(619, 1267)(620, 1268)(621, 1269)(622, 1270)(623, 1271)(624, 1272)(625, 1273)(626, 1274)(627, 1275)(628, 1276)(629, 1277)(630, 1278)(631, 1279)(632, 1280)(633, 1281)(634, 1282)(635, 1283)(636, 1284)(637, 1285)(638, 1286)(639, 1287)(640, 1288)(641, 1289)(642, 1290)(643, 1291)(644, 1292)(645, 1293)(646, 1294)(647, 1295)(648, 1296)
	local type(s) :: { ( 6, 12 ), ( 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3204
Graph:: simple bipartite
	v = 432 e = 648 f = 162
	degree seq :: [ 2^324, 6^108 ]

E28.3206 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 3, 6})
Quotient :: edge
Aut^+ = ((C3 x ((C3 x C3) : C2)) : C2) : C3 (small group id <324, 160>)
Aut   = $<648, 703>$ (small group id <648, 703>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, (T2^-1 * T1^-1)^3, T2^6, T2 * T1^-1 * T2^-2 * T1^-1 * T2 * T1 * T2^-1 * T1, T1^-1 * T2 * T1^-2 * T2^-2 * T1^-1 * T2^-1 * T1 * T2^-2, T2^-1 * T1 * T2^-2 * T1 * T2^-1 * T1^-1 * T2^-3 * T1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 9, 25, 15, 5)(2, 6, 17, 41, 21, 7)(4, 11, 30, 67, 33, 12)(8, 22, 50, 110, 53, 23)(10, 27, 61, 127, 64, 28)(13, 34, 76, 145, 80, 35)(14, 36, 82, 89, 39, 16)(18, 43, 96, 131, 63, 44)(19, 45, 100, 169, 103, 46)(20, 47, 105, 120, 65, 29)(24, 54, 113, 183, 115, 55)(26, 58, 121, 192, 124, 59)(31, 69, 138, 167, 98, 70)(32, 71, 77, 146, 123, 72)(37, 84, 153, 228, 155, 85)(38, 86, 156, 216, 144, 75)(40, 90, 159, 179, 111, 51)(42, 93, 163, 242, 164, 94)(48, 106, 174, 254, 176, 107)(49, 108, 177, 247, 168, 99)(52, 81, 79, 149, 125, 60)(56, 116, 185, 263, 187, 117)(57, 118, 188, 266, 190, 119)(62, 129, 201, 212, 141, 130)(66, 132, 191, 233, 157, 87)(68, 135, 207, 281, 208, 136)(73, 126, 196, 265, 214, 143)(74, 83, 152, 227, 211, 140)(78, 147, 97, 166, 223, 148)(88, 104, 102, 172, 165, 95)(91, 150, 224, 291, 238, 160)(92, 161, 239, 299, 241, 162)(101, 170, 139, 210, 252, 171)(109, 142, 213, 209, 137, 114)(112, 180, 260, 302, 245, 181)(122, 194, 271, 277, 203, 195)(128, 134, 206, 279, 274, 199)(133, 173, 253, 307, 268, 205)(151, 225, 249, 305, 292, 226)(154, 229, 220, 289, 294, 230)(158, 234, 297, 272, 197, 235)(175, 255, 218, 287, 309, 256)(178, 258, 202, 276, 221, 259)(182, 204, 278, 275, 200, 186)(184, 261, 283, 317, 284, 262)(189, 222, 290, 288, 219, 215)(193, 198, 273, 313, 282, 270)(217, 231, 240, 251, 306, 286)(232, 295, 244, 301, 250, 296)(236, 246, 303, 300, 243, 237)(248, 257, 280, 285, 318, 304)(264, 310, 315, 320, 316, 293)(267, 269, 312, 323, 314, 311)(298, 319, 321, 324, 322, 308)(325, 326, 328)(327, 332, 334)(329, 337, 338)(330, 340, 342)(331, 343, 344)(333, 348, 350)(335, 353, 355)(336, 356, 346)(339, 361, 362)(341, 364, 366)(345, 372, 373)(347, 375, 376)(349, 380, 381)(351, 384, 386)(352, 387, 378)(354, 390, 392)(357, 397, 398)(358, 399, 401)(359, 402, 403)(360, 405, 407)(363, 411, 412)(365, 415, 416)(367, 419, 421)(368, 422, 414)(369, 423, 400)(370, 425, 426)(371, 428, 410)(374, 433, 432)(377, 436, 417)(379, 438, 389)(382, 444, 446)(383, 447, 440)(385, 450, 452)(388, 456, 394)(391, 457, 458)(393, 461, 463)(395, 464, 424)(396, 465, 466)(404, 474, 418)(406, 467, 475)(408, 443, 420)(409, 478, 429)(413, 482, 459)(427, 497, 460)(430, 486, 462)(431, 499, 434)(435, 502, 476)(437, 506, 487)(439, 508, 501)(441, 510, 449)(442, 473, 513)(445, 515, 517)(448, 520, 454)(451, 521, 522)(453, 524, 526)(455, 527, 528)(468, 538, 539)(469, 541, 542)(470, 543, 544)(471, 488, 477)(472, 545, 546)(479, 555, 492)(480, 481, 556)(483, 560, 531)(484, 561, 489)(485, 496, 564)(490, 567, 568)(491, 569, 570)(493, 572, 573)(494, 532, 498)(495, 574, 575)(500, 581, 535)(503, 559, 523)(504, 580, 525)(505, 565, 507)(509, 553, 571)(511, 588, 566)(512, 589, 591)(514, 557, 519)(516, 592, 593)(518, 554, 576)(529, 594, 533)(530, 537, 604)(534, 606, 607)(536, 608, 609)(540, 577, 549)(547, 558, 550)(548, 579, 551)(552, 617, 563)(562, 622, 605)(578, 632, 603)(582, 598, 584)(583, 616, 615)(585, 623, 595)(586, 633, 587)(590, 621, 619)(596, 635, 599)(597, 602, 627)(600, 638, 639)(601, 640, 624)(610, 628, 612)(611, 614, 634)(613, 642, 636)(618, 631, 620)(625, 644, 645)(626, 646, 637)(629, 630, 643)(641, 648, 647)
	L = (1, 325)(2, 326)(3, 327)(4, 328)(5, 329)(6, 330)(7, 331)(8, 332)(9, 333)(10, 334)(11, 335)(12, 336)(13, 337)(14, 338)(15, 339)(16, 340)(17, 341)(18, 342)(19, 343)(20, 344)(21, 345)(22, 346)(23, 347)(24, 348)(25, 349)(26, 350)(27, 351)(28, 352)(29, 353)(30, 354)(31, 355)(32, 356)(33, 357)(34, 358)(35, 359)(36, 360)(37, 361)(38, 362)(39, 363)(40, 364)(41, 365)(42, 366)(43, 367)(44, 368)(45, 369)(46, 370)(47, 371)(48, 372)(49, 373)(50, 374)(51, 375)(52, 376)(53, 377)(54, 378)(55, 379)(56, 380)(57, 381)(58, 382)(59, 383)(60, 384)(61, 385)(62, 386)(63, 387)(64, 388)(65, 389)(66, 390)(67, 391)(68, 392)(69, 393)(70, 394)(71, 395)(72, 396)(73, 397)(74, 398)(75, 399)(76, 400)(77, 401)(78, 402)(79, 403)(80, 404)(81, 405)(82, 406)(83, 407)(84, 408)(85, 409)(86, 410)(87, 411)(88, 412)(89, 413)(90, 414)(91, 415)(92, 416)(93, 417)(94, 418)(95, 419)(96, 420)(97, 421)(98, 422)(99, 423)(100, 424)(101, 425)(102, 426)(103, 427)(104, 428)(105, 429)(106, 430)(107, 431)(108, 432)(109, 433)(110, 434)(111, 435)(112, 436)(113, 437)(114, 438)(115, 439)(116, 440)(117, 441)(118, 442)(119, 443)(120, 444)(121, 445)(122, 446)(123, 447)(124, 448)(125, 449)(126, 450)(127, 451)(128, 452)(129, 453)(130, 454)(131, 455)(132, 456)(133, 457)(134, 458)(135, 459)(136, 460)(137, 461)(138, 462)(139, 463)(140, 464)(141, 465)(142, 466)(143, 467)(144, 468)(145, 469)(146, 470)(147, 471)(148, 472)(149, 473)(150, 474)(151, 475)(152, 476)(153, 477)(154, 478)(155, 479)(156, 480)(157, 481)(158, 482)(159, 483)(160, 484)(161, 485)(162, 486)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 6^3 ), ( 6^6 ) }
Outer automorphisms :: reflexible
Dual of E28.3207
Transitivity :: ET+
Graph:: simple bipartite
	v = 162 e = 324 f = 108
	degree seq :: [ 3^108, 6^54 ]

E28.3207 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 3, 6})
Quotient :: loop
Aut^+ = ((C3 x ((C3 x C3) : C2)) : C2) : C3 (small group id <324, 160>)
Aut   = $<648, 703>$ (small group id <648, 703>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^3, (F * T1)^2, (F * T2)^2, T2 * T1^-1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2 * T1, (T2^-1 * T1^-1)^6, T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2^-1 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2, T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1, (T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1)^2 ]
Map:: polyhedral non-degenerate
	R = (1, 325, 3, 327, 5, 329)(2, 326, 6, 330, 7, 331)(4, 328, 10, 334, 11, 335)(8, 332, 18, 342, 19, 343)(9, 333, 20, 344, 21, 345)(12, 336, 26, 350, 27, 351)(13, 337, 28, 352, 29, 353)(14, 338, 30, 354, 31, 355)(15, 339, 32, 356, 33, 357)(16, 340, 34, 358, 35, 359)(17, 341, 36, 360, 37, 361)(22, 346, 46, 370, 47, 371)(23, 347, 48, 372, 49, 373)(24, 348, 50, 374, 51, 375)(25, 349, 52, 376, 53, 377)(38, 362, 78, 402, 79, 403)(39, 363, 80, 404, 69, 393)(40, 364, 81, 405, 82, 406)(41, 365, 83, 407, 65, 389)(42, 366, 84, 408, 85, 409)(43, 367, 86, 410, 87, 411)(44, 368, 88, 412, 89, 413)(45, 369, 90, 414, 91, 415)(54, 378, 105, 429, 76, 400)(55, 379, 106, 430, 68, 392)(56, 380, 107, 431, 108, 432)(57, 381, 109, 433, 110, 434)(58, 382, 101, 425, 74, 398)(59, 383, 111, 435, 112, 436)(60, 384, 98, 422, 113, 437)(61, 385, 114, 438, 115, 439)(62, 386, 116, 440, 117, 441)(63, 387, 118, 442, 97, 421)(64, 388, 119, 443, 120, 444)(66, 390, 121, 445, 122, 446)(67, 391, 123, 447, 124, 448)(70, 394, 125, 449, 103, 427)(71, 395, 126, 450, 96, 420)(72, 396, 127, 451, 128, 452)(73, 397, 129, 453, 130, 454)(75, 399, 131, 455, 132, 456)(77, 401, 133, 457, 134, 458)(92, 416, 154, 478, 155, 479)(93, 417, 156, 480, 157, 481)(94, 418, 158, 482, 159, 483)(95, 419, 160, 484, 161, 485)(99, 423, 162, 486, 163, 487)(100, 424, 164, 488, 165, 489)(102, 426, 166, 490, 167, 491)(104, 428, 168, 492, 135, 459)(136, 460, 210, 534, 149, 473)(137, 461, 211, 535, 212, 536)(138, 462, 187, 511, 213, 537)(139, 463, 214, 538, 197, 521)(140, 464, 215, 539, 152, 476)(141, 465, 216, 540, 148, 472)(142, 466, 217, 541, 218, 542)(143, 467, 219, 543, 220, 544)(144, 468, 190, 514, 221, 545)(145, 469, 222, 546, 223, 547)(146, 470, 224, 548, 225, 549)(147, 471, 226, 550, 227, 551)(150, 474, 228, 552, 229, 553)(151, 475, 230, 554, 231, 555)(153, 477, 232, 556, 169, 493)(170, 494, 249, 573, 180, 504)(171, 495, 250, 574, 251, 575)(172, 496, 252, 576, 253, 577)(173, 497, 196, 520, 183, 507)(174, 498, 254, 578, 179, 503)(175, 499, 255, 579, 256, 580)(176, 500, 257, 581, 258, 582)(177, 501, 184, 508, 259, 583)(178, 502, 260, 584, 261, 585)(181, 505, 186, 510, 262, 586)(182, 506, 263, 587, 248, 572)(185, 509, 234, 558, 264, 588)(188, 512, 265, 589, 195, 519)(189, 513, 266, 590, 267, 591)(191, 515, 237, 561, 268, 592)(192, 516, 269, 593, 270, 594)(193, 517, 271, 595, 272, 596)(194, 518, 273, 597, 274, 598)(198, 522, 275, 599, 208, 532)(199, 523, 276, 600, 277, 601)(200, 524, 278, 602, 279, 603)(201, 525, 242, 566, 209, 533)(202, 526, 280, 604, 207, 531)(203, 527, 281, 605, 282, 606)(204, 528, 283, 607, 284, 608)(205, 529, 233, 557, 285, 609)(206, 530, 286, 610, 287, 611)(235, 559, 302, 626, 241, 565)(236, 560, 290, 614, 303, 627)(238, 562, 304, 628, 288, 612)(239, 563, 305, 629, 306, 630)(240, 564, 307, 631, 291, 615)(243, 567, 293, 617, 247, 571)(244, 568, 308, 632, 297, 621)(245, 569, 301, 625, 309, 633)(246, 570, 310, 634, 311, 635)(289, 613, 324, 648, 312, 636)(292, 616, 322, 646, 313, 637)(294, 618, 321, 645, 299, 623)(295, 619, 315, 639, 320, 644)(296, 620, 319, 643, 314, 638)(298, 622, 323, 647, 316, 640)(300, 624, 318, 642, 317, 641)
	L = (1, 326)(2, 328)(3, 332)(4, 325)(5, 336)(6, 338)(7, 340)(8, 333)(9, 327)(10, 346)(11, 348)(12, 337)(13, 329)(14, 339)(15, 330)(16, 341)(17, 331)(18, 362)(19, 364)(20, 366)(21, 368)(22, 347)(23, 334)(24, 349)(25, 335)(26, 378)(27, 380)(28, 382)(29, 384)(30, 386)(31, 388)(32, 390)(33, 392)(34, 394)(35, 396)(36, 398)(37, 400)(38, 363)(39, 342)(40, 365)(41, 343)(42, 367)(43, 344)(44, 369)(45, 345)(46, 416)(47, 417)(48, 418)(49, 420)(50, 422)(51, 423)(52, 425)(53, 427)(54, 379)(55, 350)(56, 381)(57, 351)(58, 383)(59, 352)(60, 385)(61, 353)(62, 387)(63, 354)(64, 389)(65, 355)(66, 391)(67, 356)(68, 393)(69, 357)(70, 395)(71, 358)(72, 397)(73, 359)(74, 399)(75, 360)(76, 401)(77, 361)(78, 459)(79, 461)(80, 462)(81, 464)(82, 466)(83, 371)(84, 468)(85, 469)(86, 470)(87, 472)(88, 374)(89, 474)(90, 370)(91, 476)(92, 414)(93, 407)(94, 419)(95, 372)(96, 421)(97, 373)(98, 412)(99, 424)(100, 375)(101, 426)(102, 376)(103, 428)(104, 377)(105, 493)(106, 495)(107, 497)(108, 499)(109, 409)(110, 403)(111, 501)(112, 503)(113, 505)(114, 408)(115, 507)(116, 439)(117, 508)(118, 509)(119, 511)(120, 513)(121, 515)(122, 516)(123, 517)(124, 519)(125, 521)(126, 523)(127, 525)(128, 527)(129, 446)(130, 441)(131, 529)(132, 531)(133, 445)(134, 533)(135, 460)(136, 402)(137, 434)(138, 463)(139, 404)(140, 465)(141, 405)(142, 467)(143, 406)(144, 438)(145, 433)(146, 471)(147, 410)(148, 473)(149, 411)(150, 475)(151, 413)(152, 477)(153, 415)(154, 458)(155, 557)(156, 558)(157, 560)(158, 544)(159, 562)(160, 563)(161, 565)(162, 534)(163, 568)(164, 483)(165, 479)(166, 536)(167, 571)(168, 482)(169, 494)(170, 429)(171, 496)(172, 430)(173, 498)(174, 431)(175, 500)(176, 432)(177, 502)(178, 435)(179, 504)(180, 436)(181, 506)(182, 437)(183, 440)(184, 454)(185, 510)(186, 442)(187, 512)(188, 443)(189, 514)(190, 444)(191, 457)(192, 453)(193, 518)(194, 447)(195, 520)(196, 448)(197, 522)(198, 449)(199, 524)(200, 450)(201, 526)(202, 451)(203, 528)(204, 452)(205, 530)(206, 455)(207, 532)(208, 456)(209, 478)(210, 567)(211, 574)(212, 570)(213, 603)(214, 595)(215, 577)(216, 612)(217, 590)(218, 615)(219, 537)(220, 492)(221, 588)(222, 617)(223, 619)(224, 582)(225, 620)(226, 621)(227, 623)(228, 573)(229, 624)(230, 549)(231, 545)(232, 548)(233, 489)(234, 559)(235, 480)(236, 561)(237, 481)(238, 488)(239, 564)(240, 484)(241, 566)(242, 485)(243, 486)(244, 569)(245, 487)(246, 490)(247, 572)(248, 491)(249, 609)(250, 599)(251, 636)(252, 596)(253, 592)(254, 638)(255, 634)(256, 640)(257, 575)(258, 556)(259, 600)(260, 641)(261, 611)(262, 629)(263, 583)(264, 555)(265, 547)(266, 614)(267, 551)(268, 539)(269, 578)(270, 642)(271, 608)(272, 637)(273, 580)(274, 643)(275, 535)(276, 587)(277, 644)(278, 630)(279, 543)(280, 646)(281, 584)(282, 647)(283, 601)(284, 538)(285, 552)(286, 648)(287, 635)(288, 613)(289, 540)(290, 541)(291, 616)(292, 542)(293, 618)(294, 546)(295, 589)(296, 554)(297, 622)(298, 550)(299, 591)(300, 625)(301, 553)(302, 594)(303, 598)(304, 604)(305, 633)(306, 645)(307, 606)(308, 610)(309, 586)(310, 639)(311, 585)(312, 581)(313, 576)(314, 593)(315, 579)(316, 597)(317, 605)(318, 626)(319, 627)(320, 607)(321, 602)(322, 628)(323, 631)(324, 632)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.3206
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 108 e = 324 f = 162
	degree seq :: [ 6^108 ]

E28.3208 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6})
Quotient :: dipole
Aut^+ = ((C3 x ((C3 x C3) : C2)) : C2) : C3 (small group id <324, 160>)
Aut   = $<648, 703>$ (small group id <648, 703>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^3, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1^-1)^3, (Y3^-1 * Y1^-1)^3, Y2^6, Y2 * Y1^-1 * Y2^-2 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1, Y1^-1 * Y2 * Y1^-2 * Y2^-2 * Y1^-1 * Y2^-1 * Y1 * Y2^-2, Y1 * Y2^-2 * Y1 * Y2^-1 * Y1^-1 * Y2^-3 * Y1^-1 * Y2^-1 ]
Map::
	R = (1, 325, 2, 326, 4, 328)(3, 327, 8, 332, 10, 334)(5, 329, 13, 337, 14, 338)(6, 330, 16, 340, 18, 342)(7, 331, 19, 343, 20, 344)(9, 333, 24, 348, 26, 350)(11, 335, 29, 353, 31, 355)(12, 336, 32, 356, 22, 346)(15, 339, 37, 361, 38, 362)(17, 341, 40, 364, 42, 366)(21, 345, 48, 372, 49, 373)(23, 347, 51, 375, 52, 376)(25, 349, 56, 380, 57, 381)(27, 351, 60, 384, 62, 386)(28, 352, 63, 387, 54, 378)(30, 354, 66, 390, 68, 392)(33, 357, 73, 397, 74, 398)(34, 358, 75, 399, 77, 401)(35, 359, 78, 402, 79, 403)(36, 360, 81, 405, 83, 407)(39, 363, 87, 411, 88, 412)(41, 365, 91, 415, 92, 416)(43, 367, 95, 419, 97, 421)(44, 368, 98, 422, 90, 414)(45, 369, 99, 423, 76, 400)(46, 370, 101, 425, 102, 426)(47, 371, 104, 428, 86, 410)(50, 374, 109, 433, 108, 432)(53, 377, 112, 436, 93, 417)(55, 379, 114, 438, 65, 389)(58, 382, 120, 444, 122, 446)(59, 383, 123, 447, 116, 440)(61, 385, 126, 450, 128, 452)(64, 388, 132, 456, 70, 394)(67, 391, 133, 457, 134, 458)(69, 393, 137, 461, 139, 463)(71, 395, 140, 464, 100, 424)(72, 396, 141, 465, 142, 466)(80, 404, 150, 474, 94, 418)(82, 406, 143, 467, 151, 475)(84, 408, 119, 443, 96, 420)(85, 409, 154, 478, 105, 429)(89, 413, 158, 482, 135, 459)(103, 427, 173, 497, 136, 460)(106, 430, 162, 486, 138, 462)(107, 431, 175, 499, 110, 434)(111, 435, 178, 502, 152, 476)(113, 437, 182, 506, 163, 487)(115, 439, 184, 508, 177, 501)(117, 441, 186, 510, 125, 449)(118, 442, 149, 473, 189, 513)(121, 445, 191, 515, 193, 517)(124, 448, 196, 520, 130, 454)(127, 451, 197, 521, 198, 522)(129, 453, 200, 524, 202, 526)(131, 455, 203, 527, 204, 528)(144, 468, 214, 538, 215, 539)(145, 469, 217, 541, 218, 542)(146, 470, 219, 543, 220, 544)(147, 471, 164, 488, 153, 477)(148, 472, 221, 545, 222, 546)(155, 479, 231, 555, 168, 492)(156, 480, 157, 481, 232, 556)(159, 483, 236, 560, 207, 531)(160, 484, 237, 561, 165, 489)(161, 485, 172, 496, 240, 564)(166, 490, 243, 567, 244, 568)(167, 491, 245, 569, 246, 570)(169, 493, 248, 572, 249, 573)(170, 494, 208, 532, 174, 498)(171, 495, 250, 574, 251, 575)(176, 500, 257, 581, 211, 535)(179, 503, 235, 559, 199, 523)(180, 504, 256, 580, 201, 525)(181, 505, 241, 565, 183, 507)(185, 509, 229, 553, 247, 571)(187, 511, 264, 588, 242, 566)(188, 512, 265, 589, 267, 591)(190, 514, 233, 557, 195, 519)(192, 516, 268, 592, 269, 593)(194, 518, 230, 554, 252, 576)(205, 529, 270, 594, 209, 533)(206, 530, 213, 537, 280, 604)(210, 534, 282, 606, 283, 607)(212, 536, 284, 608, 285, 609)(216, 540, 253, 577, 225, 549)(223, 547, 234, 558, 226, 550)(224, 548, 255, 579, 227, 551)(228, 552, 293, 617, 239, 563)(238, 562, 298, 622, 281, 605)(254, 578, 308, 632, 279, 603)(258, 582, 274, 598, 260, 584)(259, 583, 292, 616, 291, 615)(261, 585, 299, 623, 271, 595)(262, 586, 309, 633, 263, 587)(266, 590, 297, 621, 295, 619)(272, 596, 311, 635, 275, 599)(273, 597, 278, 602, 303, 627)(276, 600, 314, 638, 315, 639)(277, 601, 316, 640, 300, 624)(286, 610, 304, 628, 288, 612)(287, 611, 290, 614, 310, 634)(289, 613, 318, 642, 312, 636)(294, 618, 307, 631, 296, 620)(301, 625, 320, 644, 321, 645)(302, 626, 322, 646, 313, 637)(305, 629, 306, 630, 319, 643)(317, 641, 324, 648, 323, 647)(649, 973, 651, 975, 657, 981, 673, 997, 663, 987, 653, 977)(650, 974, 654, 978, 665, 989, 689, 1013, 669, 993, 655, 979)(652, 976, 659, 983, 678, 1002, 715, 1039, 681, 1005, 660, 984)(656, 980, 670, 994, 698, 1022, 758, 1082, 701, 1025, 671, 995)(658, 982, 675, 999, 709, 1033, 775, 1099, 712, 1036, 676, 1000)(661, 985, 682, 1006, 724, 1048, 793, 1117, 728, 1052, 683, 1007)(662, 986, 684, 1008, 730, 1054, 737, 1061, 687, 1011, 664, 988)(666, 990, 691, 1015, 744, 1068, 779, 1103, 711, 1035, 692, 1016)(667, 991, 693, 1017, 748, 1072, 817, 1141, 751, 1075, 694, 1018)(668, 992, 695, 1019, 753, 1077, 768, 1092, 713, 1037, 677, 1001)(672, 996, 702, 1026, 761, 1085, 831, 1155, 763, 1087, 703, 1027)(674, 998, 706, 1030, 769, 1093, 840, 1164, 772, 1096, 707, 1031)(679, 1003, 717, 1041, 786, 1110, 815, 1139, 746, 1070, 718, 1042)(680, 1004, 719, 1043, 725, 1049, 794, 1118, 771, 1095, 720, 1044)(685, 1009, 732, 1056, 801, 1125, 876, 1200, 803, 1127, 733, 1057)(686, 1010, 734, 1058, 804, 1128, 864, 1188, 792, 1116, 723, 1047)(688, 1012, 738, 1062, 807, 1131, 827, 1151, 759, 1083, 699, 1023)(690, 1014, 741, 1065, 811, 1135, 890, 1214, 812, 1136, 742, 1066)(696, 1020, 754, 1078, 822, 1146, 902, 1226, 824, 1148, 755, 1079)(697, 1021, 756, 1080, 825, 1149, 895, 1219, 816, 1140, 747, 1071)(700, 1024, 729, 1053, 727, 1051, 797, 1121, 773, 1097, 708, 1032)(704, 1028, 764, 1088, 833, 1157, 911, 1235, 835, 1159, 765, 1089)(705, 1029, 766, 1090, 836, 1160, 914, 1238, 838, 1162, 767, 1091)(710, 1034, 777, 1101, 849, 1173, 860, 1184, 789, 1113, 778, 1102)(714, 1038, 780, 1104, 839, 1163, 881, 1205, 805, 1129, 735, 1059)(716, 1040, 783, 1107, 855, 1179, 929, 1253, 856, 1180, 784, 1108)(721, 1045, 774, 1098, 844, 1168, 913, 1237, 862, 1186, 791, 1115)(722, 1046, 731, 1055, 800, 1124, 875, 1199, 859, 1183, 788, 1112)(726, 1050, 795, 1119, 745, 1069, 814, 1138, 871, 1195, 796, 1120)(736, 1060, 752, 1076, 750, 1074, 820, 1144, 813, 1137, 743, 1067)(739, 1063, 798, 1122, 872, 1196, 939, 1263, 886, 1210, 808, 1132)(740, 1064, 809, 1133, 887, 1211, 947, 1271, 889, 1213, 810, 1134)(749, 1073, 818, 1142, 787, 1111, 858, 1182, 900, 1224, 819, 1143)(757, 1081, 790, 1114, 861, 1185, 857, 1181, 785, 1109, 762, 1086)(760, 1084, 828, 1152, 908, 1232, 950, 1274, 893, 1217, 829, 1153)(770, 1094, 842, 1166, 919, 1243, 925, 1249, 851, 1175, 843, 1167)(776, 1100, 782, 1106, 854, 1178, 927, 1251, 922, 1246, 847, 1171)(781, 1105, 821, 1145, 901, 1225, 955, 1279, 916, 1240, 853, 1177)(799, 1123, 873, 1197, 897, 1221, 953, 1277, 940, 1264, 874, 1198)(802, 1126, 877, 1201, 868, 1192, 937, 1261, 942, 1266, 878, 1202)(806, 1130, 882, 1206, 945, 1269, 920, 1244, 845, 1169, 883, 1207)(823, 1147, 903, 1227, 866, 1190, 935, 1259, 957, 1281, 904, 1228)(826, 1150, 906, 1230, 850, 1174, 924, 1248, 869, 1193, 907, 1231)(830, 1154, 852, 1176, 926, 1250, 923, 1247, 848, 1172, 834, 1158)(832, 1156, 909, 1233, 931, 1255, 965, 1289, 932, 1256, 910, 1234)(837, 1161, 870, 1194, 938, 1262, 936, 1260, 867, 1191, 863, 1187)(841, 1165, 846, 1170, 921, 1245, 961, 1285, 930, 1254, 918, 1242)(865, 1189, 879, 1203, 888, 1212, 899, 1223, 954, 1278, 934, 1258)(880, 1204, 943, 1267, 892, 1216, 949, 1273, 898, 1222, 944, 1268)(884, 1208, 894, 1218, 951, 1275, 948, 1272, 891, 1215, 885, 1209)(896, 1220, 905, 1229, 928, 1252, 933, 1257, 966, 1290, 952, 1276)(912, 1236, 958, 1282, 963, 1287, 968, 1292, 964, 1288, 941, 1265)(915, 1239, 917, 1241, 960, 1284, 971, 1295, 962, 1286, 959, 1283)(946, 1270, 967, 1291, 969, 1293, 972, 1296, 970, 1294, 956, 1280)
	L = (1, 651)(2, 654)(3, 657)(4, 659)(5, 649)(6, 665)(7, 650)(8, 670)(9, 673)(10, 675)(11, 678)(12, 652)(13, 682)(14, 684)(15, 653)(16, 662)(17, 689)(18, 691)(19, 693)(20, 695)(21, 655)(22, 698)(23, 656)(24, 702)(25, 663)(26, 706)(27, 709)(28, 658)(29, 668)(30, 715)(31, 717)(32, 719)(33, 660)(34, 724)(35, 661)(36, 730)(37, 732)(38, 734)(39, 664)(40, 738)(41, 669)(42, 741)(43, 744)(44, 666)(45, 748)(46, 667)(47, 753)(48, 754)(49, 756)(50, 758)(51, 688)(52, 729)(53, 671)(54, 761)(55, 672)(56, 764)(57, 766)(58, 769)(59, 674)(60, 700)(61, 775)(62, 777)(63, 692)(64, 676)(65, 677)(66, 780)(67, 681)(68, 783)(69, 786)(70, 679)(71, 725)(72, 680)(73, 774)(74, 731)(75, 686)(76, 793)(77, 794)(78, 795)(79, 797)(80, 683)(81, 727)(82, 737)(83, 800)(84, 801)(85, 685)(86, 804)(87, 714)(88, 752)(89, 687)(90, 807)(91, 798)(92, 809)(93, 811)(94, 690)(95, 736)(96, 779)(97, 814)(98, 718)(99, 697)(100, 817)(101, 818)(102, 820)(103, 694)(104, 750)(105, 768)(106, 822)(107, 696)(108, 825)(109, 790)(110, 701)(111, 699)(112, 828)(113, 831)(114, 757)(115, 703)(116, 833)(117, 704)(118, 836)(119, 705)(120, 713)(121, 840)(122, 842)(123, 720)(124, 707)(125, 708)(126, 844)(127, 712)(128, 782)(129, 849)(130, 710)(131, 711)(132, 839)(133, 821)(134, 854)(135, 855)(136, 716)(137, 762)(138, 815)(139, 858)(140, 722)(141, 778)(142, 861)(143, 721)(144, 723)(145, 728)(146, 771)(147, 745)(148, 726)(149, 773)(150, 872)(151, 873)(152, 875)(153, 876)(154, 877)(155, 733)(156, 864)(157, 735)(158, 882)(159, 827)(160, 739)(161, 887)(162, 740)(163, 890)(164, 742)(165, 743)(166, 871)(167, 746)(168, 747)(169, 751)(170, 787)(171, 749)(172, 813)(173, 901)(174, 902)(175, 903)(176, 755)(177, 895)(178, 906)(179, 759)(180, 908)(181, 760)(182, 852)(183, 763)(184, 909)(185, 911)(186, 830)(187, 765)(188, 914)(189, 870)(190, 767)(191, 881)(192, 772)(193, 846)(194, 919)(195, 770)(196, 913)(197, 883)(198, 921)(199, 776)(200, 834)(201, 860)(202, 924)(203, 843)(204, 926)(205, 781)(206, 927)(207, 929)(208, 784)(209, 785)(210, 900)(211, 788)(212, 789)(213, 857)(214, 791)(215, 837)(216, 792)(217, 879)(218, 935)(219, 863)(220, 937)(221, 907)(222, 938)(223, 796)(224, 939)(225, 897)(226, 799)(227, 859)(228, 803)(229, 868)(230, 802)(231, 888)(232, 943)(233, 805)(234, 945)(235, 806)(236, 894)(237, 884)(238, 808)(239, 947)(240, 899)(241, 810)(242, 812)(243, 885)(244, 949)(245, 829)(246, 951)(247, 816)(248, 905)(249, 953)(250, 944)(251, 954)(252, 819)(253, 955)(254, 824)(255, 866)(256, 823)(257, 928)(258, 850)(259, 826)(260, 950)(261, 931)(262, 832)(263, 835)(264, 958)(265, 862)(266, 838)(267, 917)(268, 853)(269, 960)(270, 841)(271, 925)(272, 845)(273, 961)(274, 847)(275, 848)(276, 869)(277, 851)(278, 923)(279, 922)(280, 933)(281, 856)(282, 918)(283, 965)(284, 910)(285, 966)(286, 865)(287, 957)(288, 867)(289, 942)(290, 936)(291, 886)(292, 874)(293, 912)(294, 878)(295, 892)(296, 880)(297, 920)(298, 967)(299, 889)(300, 891)(301, 898)(302, 893)(303, 948)(304, 896)(305, 940)(306, 934)(307, 916)(308, 946)(309, 904)(310, 963)(311, 915)(312, 971)(313, 930)(314, 959)(315, 968)(316, 941)(317, 932)(318, 952)(319, 969)(320, 964)(321, 972)(322, 956)(323, 962)(324, 970)(325, 973)(326, 974)(327, 975)(328, 976)(329, 977)(330, 978)(331, 979)(332, 980)(333, 981)(334, 982)(335, 983)(336, 984)(337, 985)(338, 986)(339, 987)(340, 988)(341, 989)(342, 990)(343, 991)(344, 992)(345, 993)(346, 994)(347, 995)(348, 996)(349, 997)(350, 998)(351, 999)(352, 1000)(353, 1001)(354, 1002)(355, 1003)(356, 1004)(357, 1005)(358, 1006)(359, 1007)(360, 1008)(361, 1009)(362, 1010)(363, 1011)(364, 1012)(365, 1013)(366, 1014)(367, 1015)(368, 1016)(369, 1017)(370, 1018)(371, 1019)(372, 1020)(373, 1021)(374, 1022)(375, 1023)(376, 1024)(377, 1025)(378, 1026)(379, 1027)(380, 1028)(381, 1029)(382, 1030)(383, 1031)(384, 1032)(385, 1033)(386, 1034)(387, 1035)(388, 1036)(389, 1037)(390, 1038)(391, 1039)(392, 1040)(393, 1041)(394, 1042)(395, 1043)(396, 1044)(397, 1045)(398, 1046)(399, 1047)(400, 1048)(401, 1049)(402, 1050)(403, 1051)(404, 1052)(405, 1053)(406, 1054)(407, 1055)(408, 1056)(409, 1057)(410, 1058)(411, 1059)(412, 1060)(413, 1061)(414, 1062)(415, 1063)(416, 1064)(417, 1065)(418, 1066)(419, 1067)(420, 1068)(421, 1069)(422, 1070)(423, 1071)(424, 1072)(425, 1073)(426, 1074)(427, 1075)(428, 1076)(429, 1077)(430, 1078)(431, 1079)(432, 1080)(433, 1081)(434, 1082)(435, 1083)(436, 1084)(437, 1085)(438, 1086)(439, 1087)(440, 1088)(441, 1089)(442, 1090)(443, 1091)(444, 1092)(445, 1093)(446, 1094)(447, 1095)(448, 1096)(449, 1097)(450, 1098)(451, 1099)(452, 1100)(453, 1101)(454, 1102)(455, 1103)(456, 1104)(457, 1105)(458, 1106)(459, 1107)(460, 1108)(461, 1109)(462, 1110)(463, 1111)(464, 1112)(465, 1113)(466, 1114)(467, 1115)(468, 1116)(469, 1117)(470, 1118)(471, 1119)(472, 1120)(473, 1121)(474, 1122)(475, 1123)(476, 1124)(477, 1125)(478, 1126)(479, 1127)(480, 1128)(481, 1129)(482, 1130)(483, 1131)(484, 1132)(485, 1133)(486, 1134)(487, 1135)(488, 1136)(489, 1137)(490, 1138)(491, 1139)(492, 1140)(493, 1141)(494, 1142)(495, 1143)(496, 1144)(497, 1145)(498, 1146)(499, 1147)(500, 1148)(501, 1149)(502, 1150)(503, 1151)(504, 1152)(505, 1153)(506, 1154)(507, 1155)(508, 1156)(509, 1157)(510, 1158)(511, 1159)(512, 1160)(513, 1161)(514, 1162)(515, 1163)(516, 1164)(517, 1165)(518, 1166)(519, 1167)(520, 1168)(521, 1169)(522, 1170)(523, 1171)(524, 1172)(525, 1173)(526, 1174)(527, 1175)(528, 1176)(529, 1177)(530, 1178)(531, 1179)(532, 1180)(533, 1181)(534, 1182)(535, 1183)(536, 1184)(537, 1185)(538, 1186)(539, 1187)(540, 1188)(541, 1189)(542, 1190)(543, 1191)(544, 1192)(545, 1193)(546, 1194)(547, 1195)(548, 1196)(549, 1197)(550, 1198)(551, 1199)(552, 1200)(553, 1201)(554, 1202)(555, 1203)(556, 1204)(557, 1205)(558, 1206)(559, 1207)(560, 1208)(561, 1209)(562, 1210)(563, 1211)(564, 1212)(565, 1213)(566, 1214)(567, 1215)(568, 1216)(569, 1217)(570, 1218)(571, 1219)(572, 1220)(573, 1221)(574, 1222)(575, 1223)(576, 1224)(577, 1225)(578, 1226)(579, 1227)(580, 1228)(581, 1229)(582, 1230)(583, 1231)(584, 1232)(585, 1233)(586, 1234)(587, 1235)(588, 1236)(589, 1237)(590, 1238)(591, 1239)(592, 1240)(593, 1241)(594, 1242)(595, 1243)(596, 1244)(597, 1245)(598, 1246)(599, 1247)(600, 1248)(601, 1249)(602, 1250)(603, 1251)(604, 1252)(605, 1253)(606, 1254)(607, 1255)(608, 1256)(609, 1257)(610, 1258)(611, 1259)(612, 1260)(613, 1261)(614, 1262)(615, 1263)(616, 1264)(617, 1265)(618, 1266)(619, 1267)(620, 1268)(621, 1269)(622, 1270)(623, 1271)(624, 1272)(625, 1273)(626, 1274)(627, 1275)(628, 1276)(629, 1277)(630, 1278)(631, 1279)(632, 1280)(633, 1281)(634, 1282)(635, 1283)(636, 1284)(637, 1285)(638, 1286)(639, 1287)(640, 1288)(641, 1289)(642, 1290)(643, 1291)(644, 1292)(645, 1293)(646, 1294)(647, 1295)(648, 1296)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.3209
Graph:: bipartite
	v = 162 e = 648 f = 432
	degree seq :: [ 6^108, 12^54 ]

E28.3209 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 6})
Quotient :: dipole
Aut^+ = ((C3 x ((C3 x C3) : C2)) : C2) : C3 (small group id <324, 160>)
Aut   = $<648, 703>$ (small group id <648, 703>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y3^6, Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2 * Y3^-2 * Y2, Y3 * Y2 * Y3^2 * Y2 * Y3 * Y2^-1 * Y3^3 * Y2^-1, (Y3^-1 * Y1^-1)^6, (Y3^-2 * Y2^-1 * Y3^-3 * Y2)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^2 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1 ]
Map:: polytopal
	R = (1, 325)(2, 326)(3, 327)(4, 328)(5, 329)(6, 330)(7, 331)(8, 332)(9, 333)(10, 334)(11, 335)(12, 336)(13, 337)(14, 338)(15, 339)(16, 340)(17, 341)(18, 342)(19, 343)(20, 344)(21, 345)(22, 346)(23, 347)(24, 348)(25, 349)(26, 350)(27, 351)(28, 352)(29, 353)(30, 354)(31, 355)(32, 356)(33, 357)(34, 358)(35, 359)(36, 360)(37, 361)(38, 362)(39, 363)(40, 364)(41, 365)(42, 366)(43, 367)(44, 368)(45, 369)(46, 370)(47, 371)(48, 372)(49, 373)(50, 374)(51, 375)(52, 376)(53, 377)(54, 378)(55, 379)(56, 380)(57, 381)(58, 382)(59, 383)(60, 384)(61, 385)(62, 386)(63, 387)(64, 388)(65, 389)(66, 390)(67, 391)(68, 392)(69, 393)(70, 394)(71, 395)(72, 396)(73, 397)(74, 398)(75, 399)(76, 400)(77, 401)(78, 402)(79, 403)(80, 404)(81, 405)(82, 406)(83, 407)(84, 408)(85, 409)(86, 410)(87, 411)(88, 412)(89, 413)(90, 414)(91, 415)(92, 416)(93, 417)(94, 418)(95, 419)(96, 420)(97, 421)(98, 422)(99, 423)(100, 424)(101, 425)(102, 426)(103, 427)(104, 428)(105, 429)(106, 430)(107, 431)(108, 432)(109, 433)(110, 434)(111, 435)(112, 436)(113, 437)(114, 438)(115, 439)(116, 440)(117, 441)(118, 442)(119, 443)(120, 444)(121, 445)(122, 446)(123, 447)(124, 448)(125, 449)(126, 450)(127, 451)(128, 452)(129, 453)(130, 454)(131, 455)(132, 456)(133, 457)(134, 458)(135, 459)(136, 460)(137, 461)(138, 462)(139, 463)(140, 464)(141, 465)(142, 466)(143, 467)(144, 468)(145, 469)(146, 470)(147, 471)(148, 472)(149, 473)(150, 474)(151, 475)(152, 476)(153, 477)(154, 478)(155, 479)(156, 480)(157, 481)(158, 482)(159, 483)(160, 484)(161, 485)(162, 486)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)(649, 973, 650, 974, 652, 976)(651, 975, 656, 980, 658, 982)(653, 977, 661, 985, 662, 986)(654, 978, 664, 988, 666, 990)(655, 979, 667, 991, 668, 992)(657, 981, 672, 996, 674, 998)(659, 983, 676, 1000, 678, 1002)(660, 984, 679, 1003, 680, 1004)(663, 987, 685, 1009, 686, 1010)(665, 989, 689, 1013, 691, 1015)(669, 993, 696, 1020, 697, 1021)(670, 994, 698, 1022, 700, 1024)(671, 995, 701, 1025, 702, 1026)(673, 997, 706, 1030, 707, 1031)(675, 999, 709, 1033, 710, 1034)(677, 1001, 714, 1038, 716, 1040)(681, 1005, 721, 1045, 722, 1046)(682, 1006, 723, 1047, 725, 1049)(683, 1007, 726, 1050, 728, 1052)(684, 1008, 729, 1053, 730, 1054)(687, 1011, 735, 1059, 737, 1061)(688, 1012, 738, 1062, 703, 1027)(690, 1014, 742, 1066, 743, 1067)(692, 1016, 745, 1069, 708, 1032)(693, 1017, 747, 1071, 749, 1073)(694, 1018, 750, 1074, 751, 1075)(695, 1019, 752, 1076, 753, 1077)(699, 1023, 759, 1083, 755, 1079)(704, 1028, 764, 1088, 746, 1070)(705, 1029, 766, 1090, 754, 1078)(711, 1035, 773, 1097, 774, 1098)(712, 1036, 775, 1099, 777, 1101)(713, 1037, 778, 1102, 739, 1063)(715, 1039, 780, 1104, 781, 1105)(717, 1041, 782, 1106, 744, 1068)(718, 1042, 732, 1056, 785, 1109)(719, 1043, 727, 1051, 786, 1110)(720, 1044, 787, 1111, 788, 1112)(724, 1048, 793, 1117, 756, 1080)(731, 1055, 779, 1103, 800, 1124)(733, 1057, 776, 1100, 769, 1093)(734, 1058, 784, 1108, 803, 1127)(736, 1060, 807, 1131, 790, 1114)(740, 1064, 811, 1135, 783, 1107)(741, 1065, 813, 1137, 789, 1113)(748, 1072, 819, 1143, 791, 1115)(757, 1081, 826, 1150, 828, 1152)(758, 1082, 824, 1148, 767, 1091)(760, 1084, 830, 1154, 831, 1155)(761, 1085, 832, 1156, 770, 1094)(762, 1086, 833, 1157, 835, 1159)(763, 1087, 836, 1160, 837, 1161)(765, 1089, 840, 1164, 810, 1134)(768, 1092, 843, 1167, 797, 1121)(771, 1095, 818, 1142, 847, 1171)(772, 1096, 792, 1116, 848, 1172)(794, 1118, 866, 1190, 867, 1191)(795, 1119, 868, 1192, 869, 1193)(796, 1120, 870, 1194, 825, 1149)(798, 1122, 802, 1126, 855, 1179)(799, 1123, 872, 1196, 873, 1197)(801, 1125, 876, 1200, 817, 1141)(804, 1128, 858, 1182, 880, 1204)(805, 1129, 881, 1205, 883, 1207)(806, 1130, 861, 1185, 814, 1138)(808, 1132, 885, 1209, 886, 1210)(809, 1133, 887, 1211, 816, 1140)(812, 1136, 891, 1215, 854, 1178)(815, 1139, 894, 1218, 822, 1146)(820, 1144, 900, 1224, 901, 1225)(821, 1145, 902, 1226, 862, 1186)(823, 1147, 903, 1227, 904, 1228)(827, 1151, 899, 1223, 850, 1174)(829, 1153, 890, 1214, 849, 1173)(834, 1158, 884, 1208, 851, 1175)(838, 1162, 882, 1206, 879, 1203)(839, 1163, 888, 1212, 845, 1169)(841, 1165, 916, 1240, 896, 1220)(842, 1166, 897, 1221, 878, 1202)(844, 1168, 918, 1242, 905, 1229)(846, 1170, 912, 1236, 920, 1244)(852, 1176, 925, 1249, 926, 1250)(853, 1177, 927, 1251, 857, 1181)(856, 1180, 928, 1252, 859, 1183)(860, 1184, 931, 1255, 932, 1256)(863, 1187, 898, 1222, 875, 1199)(864, 1188, 893, 1217, 871, 1195)(865, 1189, 889, 1213, 874, 1198)(877, 1201, 929, 1253, 943, 1267)(892, 1216, 951, 1275, 930, 1254)(895, 1219, 953, 1277, 933, 1257)(906, 1230, 958, 1282, 959, 1283)(907, 1231, 924, 1248, 909, 1233)(908, 1232, 960, 1284, 911, 1235)(910, 1234, 948, 1272, 913, 1237)(914, 1238, 961, 1285, 962, 1286)(915, 1239, 947, 1271, 921, 1245)(917, 1241, 954, 1278, 922, 1246)(919, 1243, 941, 1265, 950, 1274)(923, 1247, 940, 1264, 934, 1258)(935, 1259, 963, 1287, 957, 1281)(936, 1260, 956, 1280, 938, 1262)(937, 1261, 964, 1288, 939, 1263)(942, 1266, 952, 1276, 944, 1268)(945, 1269, 967, 1291, 968, 1292)(946, 1270, 969, 1293, 949, 1273)(955, 1279, 970, 1294, 966, 1290)(965, 1289, 972, 1296, 971, 1295)
	L = (1, 651)(2, 654)(3, 657)(4, 659)(5, 649)(6, 665)(7, 650)(8, 670)(9, 673)(10, 667)(11, 677)(12, 652)(13, 682)(14, 683)(15, 653)(16, 687)(17, 690)(18, 679)(19, 693)(20, 694)(21, 655)(22, 699)(23, 656)(24, 704)(25, 663)(26, 701)(27, 658)(28, 712)(29, 715)(30, 661)(31, 718)(32, 719)(33, 660)(34, 724)(35, 727)(36, 662)(37, 732)(38, 733)(39, 736)(40, 664)(41, 740)(42, 669)(43, 738)(44, 666)(45, 748)(46, 726)(47, 668)(48, 723)(49, 755)(50, 757)(51, 760)(52, 709)(53, 762)(54, 713)(55, 671)(56, 765)(57, 672)(58, 768)(59, 766)(60, 674)(61, 725)(62, 716)(63, 675)(64, 776)(65, 676)(66, 773)(67, 681)(68, 778)(69, 678)(70, 784)(71, 750)(72, 680)(73, 747)(74, 790)(75, 792)(76, 783)(77, 729)(78, 794)(79, 795)(80, 685)(81, 797)(82, 798)(83, 684)(84, 801)(85, 802)(86, 686)(87, 805)(88, 808)(89, 745)(90, 810)(91, 688)(92, 812)(93, 689)(94, 815)(95, 813)(96, 691)(97, 749)(98, 692)(99, 818)(100, 711)(101, 752)(102, 820)(103, 696)(104, 822)(105, 758)(106, 695)(107, 824)(108, 697)(109, 827)(110, 698)(111, 742)(112, 703)(113, 700)(114, 834)(115, 702)(116, 838)(117, 841)(118, 842)(119, 705)(120, 844)(121, 706)(122, 707)(123, 708)(124, 710)(125, 833)(126, 850)(127, 852)(128, 763)(129, 782)(130, 854)(131, 714)(132, 856)(133, 800)(134, 785)(135, 717)(136, 746)(137, 787)(138, 721)(139, 859)(140, 806)(141, 720)(142, 861)(143, 722)(144, 863)(145, 864)(146, 754)(147, 731)(148, 728)(149, 761)(150, 775)(151, 730)(152, 875)(153, 871)(154, 877)(155, 878)(156, 734)(157, 882)(158, 735)(159, 780)(160, 739)(161, 737)(162, 888)(163, 889)(164, 892)(165, 893)(166, 741)(167, 895)(168, 743)(169, 744)(170, 897)(171, 898)(172, 789)(173, 751)(174, 809)(175, 753)(176, 905)(177, 756)(178, 906)(179, 823)(180, 832)(181, 759)(182, 910)(183, 890)(184, 835)(185, 912)(186, 771)(187, 836)(188, 913)(189, 839)(190, 915)(191, 764)(192, 830)(193, 767)(194, 917)(195, 872)(196, 919)(197, 769)(198, 770)(199, 921)(200, 907)(201, 772)(202, 924)(203, 774)(204, 874)(205, 777)(206, 849)(207, 779)(208, 929)(209, 781)(210, 786)(211, 853)(212, 788)(213, 933)(214, 791)(215, 821)(216, 900)(217, 793)(218, 935)(219, 870)(220, 937)(221, 880)(222, 843)(223, 796)(224, 939)(225, 923)(226, 799)(227, 940)(228, 941)(229, 804)(230, 866)(231, 803)(232, 928)(233, 945)(234, 860)(235, 887)(236, 807)(237, 948)(238, 851)(239, 840)(240, 817)(241, 950)(242, 811)(243, 885)(244, 814)(245, 952)(246, 903)(247, 909)(248, 816)(249, 858)(250, 868)(251, 819)(252, 955)(253, 902)(254, 894)(255, 957)(256, 922)(257, 825)(258, 873)(259, 826)(260, 828)(261, 829)(262, 946)(263, 831)(264, 855)(265, 908)(266, 837)(267, 914)(268, 963)(269, 846)(270, 916)(271, 845)(272, 964)(273, 881)(274, 847)(275, 848)(276, 949)(277, 965)(278, 927)(279, 891)(280, 931)(281, 947)(282, 857)(283, 966)(284, 942)(285, 862)(286, 865)(287, 944)(288, 867)(289, 954)(290, 869)(291, 936)(292, 930)(293, 925)(294, 876)(295, 920)(296, 879)(297, 904)(298, 883)(299, 884)(300, 961)(301, 886)(302, 911)(303, 970)(304, 896)(305, 951)(306, 899)(307, 934)(308, 901)(309, 956)(310, 971)(311, 960)(312, 918)(313, 926)(314, 943)(315, 967)(316, 958)(317, 932)(318, 938)(319, 959)(320, 969)(321, 953)(322, 972)(323, 962)(324, 968)(325, 973)(326, 974)(327, 975)(328, 976)(329, 977)(330, 978)(331, 979)(332, 980)(333, 981)(334, 982)(335, 983)(336, 984)(337, 985)(338, 986)(339, 987)(340, 988)(341, 989)(342, 990)(343, 991)(344, 992)(345, 993)(346, 994)(347, 995)(348, 996)(349, 997)(350, 998)(351, 999)(352, 1000)(353, 1001)(354, 1002)(355, 1003)(356, 1004)(357, 1005)(358, 1006)(359, 1007)(360, 1008)(361, 1009)(362, 1010)(363, 1011)(364, 1012)(365, 1013)(366, 1014)(367, 1015)(368, 1016)(369, 1017)(370, 1018)(371, 1019)(372, 1020)(373, 1021)(374, 1022)(375, 1023)(376, 1024)(377, 1025)(378, 1026)(379, 1027)(380, 1028)(381, 1029)(382, 1030)(383, 1031)(384, 1032)(385, 1033)(386, 1034)(387, 1035)(388, 1036)(389, 1037)(390, 1038)(391, 1039)(392, 1040)(393, 1041)(394, 1042)(395, 1043)(396, 1044)(397, 1045)(398, 1046)(399, 1047)(400, 1048)(401, 1049)(402, 1050)(403, 1051)(404, 1052)(405, 1053)(406, 1054)(407, 1055)(408, 1056)(409, 1057)(410, 1058)(411, 1059)(412, 1060)(413, 1061)(414, 1062)(415, 1063)(416, 1064)(417, 1065)(418, 1066)(419, 1067)(420, 1068)(421, 1069)(422, 1070)(423, 1071)(424, 1072)(425, 1073)(426, 1074)(427, 1075)(428, 1076)(429, 1077)(430, 1078)(431, 1079)(432, 1080)(433, 1081)(434, 1082)(435, 1083)(436, 1084)(437, 1085)(438, 1086)(439, 1087)(440, 1088)(441, 1089)(442, 1090)(443, 1091)(444, 1092)(445, 1093)(446, 1094)(447, 1095)(448, 1096)(449, 1097)(450, 1098)(451, 1099)(452, 1100)(453, 1101)(454, 1102)(455, 1103)(456, 1104)(457, 1105)(458, 1106)(459, 1107)(460, 1108)(461, 1109)(462, 1110)(463, 1111)(464, 1112)(465, 1113)(466, 1114)(467, 1115)(468, 1116)(469, 1117)(470, 1118)(471, 1119)(472, 1120)(473, 1121)(474, 1122)(475, 1123)(476, 1124)(477, 1125)(478, 1126)(479, 1127)(480, 1128)(481, 1129)(482, 1130)(483, 1131)(484, 1132)(485, 1133)(486, 1134)(487, 1135)(488, 1136)(489, 1137)(490, 1138)(491, 1139)(492, 1140)(493, 1141)(494, 1142)(495, 1143)(496, 1144)(497, 1145)(498, 1146)(499, 1147)(500, 1148)(501, 1149)(502, 1150)(503, 1151)(504, 1152)(505, 1153)(506, 1154)(507, 1155)(508, 1156)(509, 1157)(510, 1158)(511, 1159)(512, 1160)(513, 1161)(514, 1162)(515, 1163)(516, 1164)(517, 1165)(518, 1166)(519, 1167)(520, 1168)(521, 1169)(522, 1170)(523, 1171)(524, 1172)(525, 1173)(526, 1174)(527, 1175)(528, 1176)(529, 1177)(530, 1178)(531, 1179)(532, 1180)(533, 1181)(534, 1182)(535, 1183)(536, 1184)(537, 1185)(538, 1186)(539, 1187)(540, 1188)(541, 1189)(542, 1190)(543, 1191)(544, 1192)(545, 1193)(546, 1194)(547, 1195)(548, 1196)(549, 1197)(550, 1198)(551, 1199)(552, 1200)(553, 1201)(554, 1202)(555, 1203)(556, 1204)(557, 1205)(558, 1206)(559, 1207)(560, 1208)(561, 1209)(562, 1210)(563, 1211)(564, 1212)(565, 1213)(566, 1214)(567, 1215)(568, 1216)(569, 1217)(570, 1218)(571, 1219)(572, 1220)(573, 1221)(574, 1222)(575, 1223)(576, 1224)(577, 1225)(578, 1226)(579, 1227)(580, 1228)(581, 1229)(582, 1230)(583, 1231)(584, 1232)(585, 1233)(586, 1234)(587, 1235)(588, 1236)(589, 1237)(590, 1238)(591, 1239)(592, 1240)(593, 1241)(594, 1242)(595, 1243)(596, 1244)(597, 1245)(598, 1246)(599, 1247)(600, 1248)(601, 1249)(602, 1250)(603, 1251)(604, 1252)(605, 1253)(606, 1254)(607, 1255)(608, 1256)(609, 1257)(610, 1258)(611, 1259)(612, 1260)(613, 1261)(614, 1262)(615, 1263)(616, 1264)(617, 1265)(618, 1266)(619, 1267)(620, 1268)(621, 1269)(622, 1270)(623, 1271)(624, 1272)(625, 1273)(626, 1274)(627, 1275)(628, 1276)(629, 1277)(630, 1278)(631, 1279)(632, 1280)(633, 1281)(634, 1282)(635, 1283)(636, 1284)(637, 1285)(638, 1286)(639, 1287)(640, 1288)(641, 1289)(642, 1290)(643, 1291)(644, 1292)(645, 1293)(646, 1294)(647, 1295)(648, 1296)
	local type(s) :: { ( 6, 12 ), ( 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3208
Graph:: simple bipartite
	v = 432 e = 648 f = 162
	degree seq :: [ 2^324, 6^108 ]

E28.3210 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 6})
Quotient :: regular
Aut^+ = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
Aut   = $<648, 299>$ (small group id <648, 299>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-2, (T2 * T1 * T2 * T1^-1 * T2 * T1^-1)^2, (T1^-1 * T2)^6 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 29, 18, 8)(6, 13, 25, 48, 28, 14)(9, 19, 36, 68, 39, 20)(12, 23, 44, 83, 47, 24)(16, 31, 58, 108, 61, 32)(17, 33, 62, 113, 65, 34)(21, 40, 75, 128, 78, 41)(22, 42, 79, 133, 82, 43)(26, 50, 93, 155, 96, 51)(27, 52, 97, 158, 100, 53)(30, 56, 84, 141, 107, 57)(35, 66, 89, 150, 120, 67)(37, 70, 123, 184, 124, 71)(38, 72, 125, 185, 126, 73)(45, 85, 142, 204, 145, 86)(46, 87, 146, 207, 149, 88)(49, 91, 134, 122, 69, 92)(54, 101, 139, 127, 74, 102)(55, 103, 163, 221, 166, 104)(59, 110, 171, 199, 143, 99)(60, 111, 172, 195, 144, 95)(63, 115, 176, 198, 147, 98)(64, 116, 177, 194, 148, 94)(76, 129, 188, 244, 189, 130)(77, 131, 190, 245, 191, 132)(80, 135, 193, 248, 196, 136)(81, 137, 197, 251, 200, 138)(90, 151, 211, 264, 214, 152)(105, 157, 217, 266, 220, 160)(106, 167, 226, 274, 227, 168)(109, 170, 222, 175, 114, 162)(112, 173, 225, 178, 117, 154)(118, 156, 216, 265, 219, 159)(119, 179, 234, 281, 235, 180)(121, 181, 236, 282, 237, 182)(140, 201, 254, 299, 257, 202)(153, 206, 260, 301, 263, 209)(161, 205, 259, 300, 262, 208)(164, 223, 272, 296, 255, 218)(165, 224, 273, 293, 256, 215)(169, 228, 277, 291, 258, 213)(174, 231, 278, 290, 261, 212)(183, 238, 283, 312, 284, 239)(186, 240, 285, 313, 286, 241)(187, 242, 287, 314, 288, 243)(192, 246, 289, 315, 292, 247)(203, 250, 295, 317, 298, 253)(210, 249, 294, 316, 297, 252)(229, 270, 302, 321, 309, 276)(230, 268, 303, 319, 308, 275)(232, 269, 304, 320, 310, 279)(233, 267, 305, 318, 311, 280)(271, 307, 323, 324, 322, 306)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 35)(19, 37)(20, 38)(23, 45)(24, 46)(25, 49)(28, 54)(29, 55)(31, 59)(32, 60)(33, 63)(34, 64)(36, 69)(39, 74)(40, 76)(41, 77)(42, 80)(43, 81)(44, 84)(47, 89)(48, 90)(50, 94)(51, 95)(52, 98)(53, 99)(56, 105)(57, 106)(58, 109)(61, 112)(62, 114)(65, 117)(66, 118)(67, 119)(68, 121)(70, 116)(71, 111)(72, 115)(73, 110)(75, 107)(78, 120)(79, 134)(82, 139)(83, 140)(85, 143)(86, 144)(87, 147)(88, 148)(91, 153)(92, 154)(93, 156)(96, 157)(97, 159)(100, 160)(101, 161)(102, 162)(103, 164)(104, 165)(108, 169)(113, 174)(122, 183)(123, 179)(124, 167)(125, 180)(126, 168)(127, 186)(128, 187)(129, 171)(130, 172)(131, 176)(132, 177)(133, 192)(135, 194)(136, 195)(137, 198)(138, 199)(141, 203)(142, 205)(145, 206)(146, 208)(149, 209)(150, 210)(151, 212)(152, 213)(155, 215)(158, 218)(163, 222)(166, 225)(170, 229)(173, 230)(175, 232)(178, 233)(181, 231)(182, 228)(184, 224)(185, 223)(188, 240)(189, 238)(190, 241)(191, 239)(193, 249)(196, 250)(197, 252)(200, 253)(201, 255)(202, 256)(204, 258)(207, 261)(211, 265)(214, 266)(216, 267)(217, 268)(219, 269)(220, 270)(221, 271)(226, 275)(227, 276)(234, 280)(235, 279)(236, 281)(237, 274)(242, 272)(243, 273)(244, 277)(245, 278)(246, 290)(247, 291)(248, 293)(251, 296)(254, 300)(257, 301)(259, 302)(260, 303)(262, 304)(263, 305)(264, 306)(282, 307)(283, 308)(284, 311)(285, 309)(286, 310)(287, 313)(288, 312)(289, 316)(292, 317)(294, 318)(295, 319)(297, 320)(298, 321)(299, 322)(314, 323)(315, 324)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible
Dual of E28.3211
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 54 e = 162 f = 54
	degree seq :: [ 6^54 ]

E28.3211 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 6})
Quotient :: regular
Aut^+ = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
Aut   = $<648, 299>$ (small group id <648, 299>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T2 * T1^2 * T2 * T1^-1)^2, (T1^-1 * T2)^6, T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^2 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 29, 18, 8)(6, 13, 25, 48, 28, 14)(9, 19, 36, 66, 39, 20)(12, 23, 44, 78, 47, 24)(16, 31, 57, 82, 46, 32)(17, 33, 60, 102, 63, 34)(21, 40, 71, 115, 73, 41)(22, 42, 74, 118, 77, 43)(26, 50, 86, 121, 76, 51)(27, 52, 37, 67, 91, 53)(30, 56, 95, 142, 92, 54)(35, 64, 106, 158, 108, 65)(38, 68, 75, 120, 112, 69)(45, 80, 125, 116, 72, 81)(49, 85, 132, 183, 129, 83)(55, 93, 143, 197, 146, 94)(58, 98, 149, 199, 145, 99)(59, 100, 61, 103, 127, 101)(62, 104, 144, 186, 135, 87)(70, 113, 166, 223, 167, 114)(79, 124, 177, 235, 174, 122)(84, 130, 184, 246, 187, 131)(88, 136, 89, 138, 111, 137)(90, 139, 185, 238, 180, 126)(96, 148, 202, 159, 107, 140)(97, 133, 189, 250, 195, 141)(105, 156, 212, 270, 213, 157)(109, 161, 216, 273, 218, 162)(110, 163, 219, 275, 217, 164)(117, 119, 171, 230, 227, 169)(123, 175, 236, 289, 239, 176)(128, 181, 237, 281, 232, 172)(134, 178, 241, 292, 244, 182)(147, 201, 262, 302, 261, 200)(150, 205, 151, 207, 155, 206)(152, 208, 243, 293, 242, 203)(153, 173, 233, 280, 268, 209)(154, 210, 269, 304, 267, 211)(160, 198, 260, 291, 240, 215)(165, 221, 265, 303, 266, 222)(168, 225, 277, 308, 278, 226)(170, 228, 279, 309, 282, 229)(179, 231, 284, 312, 287, 234)(188, 249, 224, 274, 297, 248)(190, 252, 191, 254, 194, 253)(192, 255, 286, 313, 285, 251)(193, 256, 204, 263, 220, 257)(196, 247, 296, 311, 283, 258)(214, 271, 288, 310, 306, 272)(245, 290, 315, 307, 276, 294)(259, 299, 319, 322, 314, 295)(264, 300, 316, 324, 320, 301)(298, 317, 323, 321, 305, 318)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 35)(19, 37)(20, 38)(23, 45)(24, 46)(25, 49)(28, 54)(29, 55)(31, 58)(32, 59)(33, 61)(34, 62)(36, 64)(39, 70)(40, 60)(41, 72)(42, 75)(43, 76)(44, 79)(47, 83)(48, 84)(50, 87)(51, 88)(52, 89)(53, 90)(56, 96)(57, 97)(63, 105)(65, 107)(66, 109)(67, 110)(68, 111)(69, 98)(71, 113)(73, 117)(74, 119)(77, 122)(78, 123)(80, 126)(81, 127)(82, 128)(85, 133)(86, 134)(91, 140)(92, 141)(93, 144)(94, 145)(95, 147)(99, 150)(100, 151)(101, 152)(102, 153)(103, 154)(104, 155)(106, 156)(108, 160)(112, 165)(114, 157)(115, 168)(116, 163)(118, 170)(120, 172)(121, 173)(124, 178)(125, 179)(129, 182)(130, 185)(131, 186)(132, 188)(135, 190)(136, 191)(137, 192)(138, 193)(139, 194)(142, 196)(143, 198)(146, 200)(148, 203)(149, 204)(158, 214)(159, 210)(161, 199)(162, 217)(164, 220)(166, 221)(167, 224)(169, 222)(171, 231)(174, 234)(175, 237)(176, 238)(177, 240)(180, 242)(181, 243)(183, 245)(184, 247)(187, 248)(189, 251)(195, 256)(197, 259)(201, 263)(202, 264)(205, 265)(206, 249)(207, 244)(208, 266)(209, 267)(211, 241)(212, 252)(213, 255)(215, 253)(216, 274)(218, 272)(219, 269)(223, 276)(225, 275)(226, 268)(227, 262)(228, 280)(229, 281)(230, 283)(232, 285)(233, 286)(235, 288)(236, 290)(239, 291)(246, 295)(250, 298)(254, 287)(257, 284)(258, 293)(260, 300)(261, 301)(270, 305)(271, 304)(273, 299)(277, 302)(278, 307)(279, 310)(282, 311)(289, 314)(292, 316)(294, 313)(296, 317)(297, 318)(303, 320)(306, 321)(308, 319)(309, 322)(312, 323)(315, 324)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible
Dual of E28.3210
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 54 e = 162 f = 54
	degree seq :: [ 6^54 ]

E28.3212 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 6})
Quotient :: edge
Aut^+ = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
Aut   = $<648, 299>$ (small group id <648, 299>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T2^-1 * T1)^6, T2^-1 * T1 * T2^-2 * T1 * T2^2 * T1 * T2^2 * T1 * T2^-1, (T2 * T1 * T2^-1 * T1 * T2^-1 * T1)^2 ]
Map:: polytopal
	R = (1, 3, 8, 18, 10, 4)(2, 5, 12, 25, 14, 6)(7, 15, 30, 58, 32, 16)(9, 19, 37, 71, 39, 20)(11, 22, 43, 82, 45, 23)(13, 26, 50, 95, 52, 27)(17, 33, 63, 114, 65, 34)(21, 40, 76, 130, 78, 41)(24, 46, 87, 144, 89, 47)(28, 53, 100, 160, 102, 54)(29, 55, 103, 163, 104, 56)(31, 59, 108, 168, 109, 60)(35, 66, 118, 178, 120, 67)(36, 68, 121, 181, 122, 69)(38, 72, 125, 185, 126, 73)(42, 79, 133, 192, 134, 80)(44, 83, 138, 197, 139, 84)(48, 90, 148, 207, 150, 91)(49, 92, 151, 210, 152, 93)(51, 96, 155, 214, 156, 97)(57, 105, 165, 123, 70, 106)(61, 110, 170, 127, 74, 111)(62, 112, 171, 227, 172, 113)(64, 115, 174, 230, 175, 116)(75, 128, 187, 242, 188, 129)(77, 131, 190, 245, 191, 132)(81, 135, 194, 153, 94, 136)(85, 140, 199, 157, 98, 141)(86, 142, 200, 252, 201, 143)(88, 145, 203, 255, 204, 146)(99, 158, 216, 267, 217, 159)(101, 161, 219, 270, 220, 162)(107, 166, 223, 273, 224, 167)(117, 176, 231, 278, 232, 177)(119, 179, 234, 281, 235, 180)(124, 183, 238, 284, 239, 184)(137, 195, 248, 291, 249, 196)(147, 205, 256, 296, 257, 206)(149, 208, 259, 299, 260, 209)(154, 212, 263, 302, 264, 213)(164, 221, 271, 307, 272, 222)(169, 225, 274, 308, 275, 226)(173, 228, 276, 309, 277, 229)(182, 236, 282, 312, 283, 237)(186, 240, 285, 313, 286, 241)(189, 243, 287, 314, 288, 244)(193, 246, 289, 315, 290, 247)(198, 250, 292, 316, 293, 251)(202, 253, 294, 317, 295, 254)(211, 261, 300, 320, 301, 262)(215, 265, 303, 321, 304, 266)(218, 268, 305, 322, 306, 269)(233, 279, 310, 323, 311, 280)(258, 297, 318, 324, 319, 298)(325, 326)(327, 331)(328, 333)(329, 335)(330, 337)(332, 341)(334, 345)(336, 348)(338, 352)(339, 353)(340, 355)(342, 359)(343, 360)(344, 362)(346, 366)(347, 368)(349, 372)(350, 373)(351, 375)(354, 381)(356, 385)(357, 386)(358, 388)(361, 394)(363, 398)(364, 399)(365, 401)(367, 405)(369, 409)(370, 410)(371, 412)(374, 418)(376, 422)(377, 423)(378, 425)(379, 421)(380, 408)(382, 431)(383, 417)(384, 404)(387, 411)(389, 424)(390, 441)(391, 443)(392, 420)(393, 407)(395, 448)(396, 416)(397, 403)(400, 413)(402, 426)(406, 461)(414, 471)(415, 473)(419, 478)(427, 482)(428, 466)(429, 488)(430, 465)(432, 483)(433, 467)(434, 493)(435, 460)(436, 458)(437, 463)(438, 497)(439, 476)(440, 480)(442, 489)(444, 494)(445, 485)(446, 469)(447, 506)(449, 486)(450, 470)(451, 510)(452, 457)(453, 462)(454, 513)(455, 475)(456, 479)(459, 517)(464, 522)(468, 526)(472, 518)(474, 523)(477, 535)(481, 539)(484, 542)(487, 533)(490, 537)(491, 520)(492, 530)(495, 549)(496, 545)(498, 550)(499, 546)(500, 538)(501, 521)(502, 557)(503, 534)(504, 516)(505, 532)(507, 536)(508, 519)(509, 529)(511, 564)(512, 560)(514, 565)(515, 561)(524, 574)(525, 570)(527, 575)(528, 571)(531, 582)(540, 589)(541, 585)(543, 590)(544, 586)(547, 591)(548, 576)(551, 573)(552, 581)(553, 584)(554, 588)(555, 592)(556, 577)(558, 593)(559, 578)(562, 594)(563, 579)(566, 572)(567, 580)(568, 583)(569, 587)(595, 616)(596, 627)(597, 622)(598, 613)(599, 624)(600, 632)(601, 631)(602, 623)(603, 626)(604, 615)(605, 620)(606, 617)(607, 628)(608, 621)(609, 614)(610, 625)(611, 637)(612, 636)(618, 640)(619, 639)(629, 645)(630, 644)(633, 643)(634, 646)(635, 641)(638, 642)(647, 648)
	L = (1, 325)(2, 326)(3, 327)(4, 328)(5, 329)(6, 330)(7, 331)(8, 332)(9, 333)(10, 334)(11, 335)(12, 336)(13, 337)(14, 338)(15, 339)(16, 340)(17, 341)(18, 342)(19, 343)(20, 344)(21, 345)(22, 346)(23, 347)(24, 348)(25, 349)(26, 350)(27, 351)(28, 352)(29, 353)(30, 354)(31, 355)(32, 356)(33, 357)(34, 358)(35, 359)(36, 360)(37, 361)(38, 362)(39, 363)(40, 364)(41, 365)(42, 366)(43, 367)(44, 368)(45, 369)(46, 370)(47, 371)(48, 372)(49, 373)(50, 374)(51, 375)(52, 376)(53, 377)(54, 378)(55, 379)(56, 380)(57, 381)(58, 382)(59, 383)(60, 384)(61, 385)(62, 386)(63, 387)(64, 388)(65, 389)(66, 390)(67, 391)(68, 392)(69, 393)(70, 394)(71, 395)(72, 396)(73, 397)(74, 398)(75, 399)(76, 400)(77, 401)(78, 402)(79, 403)(80, 404)(81, 405)(82, 406)(83, 407)(84, 408)(85, 409)(86, 410)(87, 411)(88, 412)(89, 413)(90, 414)(91, 415)(92, 416)(93, 417)(94, 418)(95, 419)(96, 420)(97, 421)(98, 422)(99, 423)(100, 424)(101, 425)(102, 426)(103, 427)(104, 428)(105, 429)(106, 430)(107, 431)(108, 432)(109, 433)(110, 434)(111, 435)(112, 436)(113, 437)(114, 438)(115, 439)(116, 440)(117, 441)(118, 442)(119, 443)(120, 444)(121, 445)(122, 446)(123, 447)(124, 448)(125, 449)(126, 450)(127, 451)(128, 452)(129, 453)(130, 454)(131, 455)(132, 456)(133, 457)(134, 458)(135, 459)(136, 460)(137, 461)(138, 462)(139, 463)(140, 464)(141, 465)(142, 466)(143, 467)(144, 468)(145, 469)(146, 470)(147, 471)(148, 472)(149, 473)(150, 474)(151, 475)(152, 476)(153, 477)(154, 478)(155, 479)(156, 480)(157, 481)(158, 482)(159, 483)(160, 484)(161, 485)(162, 486)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.3216
Transitivity :: ET+
Graph:: simple bipartite
	v = 216 e = 324 f = 54
	degree seq :: [ 2^162, 6^54 ]

E28.3213 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 6})
Quotient :: edge
Aut^+ = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
Aut   = $<648, 299>$ (small group id <648, 299>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T2^-1 * T1 * T2^2 * T1)^2, (T2^-1 * T1)^6, T2 * T1 * T2^2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-1 * T1 ]
Map:: polytopal
	R = (1, 3, 8, 18, 10, 4)(2, 5, 12, 25, 14, 6)(7, 15, 30, 58, 32, 16)(9, 19, 37, 67, 39, 20)(11, 22, 43, 77, 45, 23)(13, 26, 50, 86, 52, 27)(17, 33, 62, 105, 63, 34)(21, 40, 71, 115, 73, 41)(24, 46, 81, 130, 82, 47)(28, 53, 90, 140, 92, 54)(29, 55, 93, 144, 95, 56)(31, 59, 36, 66, 101, 60)(35, 64, 107, 160, 108, 65)(38, 68, 106, 158, 112, 69)(42, 74, 118, 171, 120, 75)(44, 78, 49, 85, 126, 79)(48, 83, 132, 187, 133, 84)(51, 87, 131, 185, 137, 88)(57, 96, 147, 202, 148, 97)(61, 102, 154, 116, 72, 103)(70, 113, 166, 223, 167, 114)(76, 121, 174, 233, 175, 122)(80, 127, 181, 141, 91, 128)(89, 138, 193, 254, 194, 139)(94, 145, 99, 151, 111, 146)(98, 149, 204, 263, 205, 150)(100, 152, 203, 262, 208, 153)(104, 155, 210, 267, 211, 156)(109, 161, 216, 273, 218, 162)(110, 163, 219, 275, 220, 164)(117, 159, 214, 270, 227, 169)(119, 172, 124, 178, 136, 173)(123, 176, 235, 283, 236, 177)(125, 179, 234, 282, 239, 180)(129, 182, 241, 287, 242, 183)(134, 188, 247, 293, 249, 189)(135, 190, 250, 295, 251, 191)(142, 186, 245, 290, 258, 196)(143, 197, 248, 284, 237, 198)(157, 212, 268, 304, 269, 213)(165, 221, 230, 279, 238, 222)(168, 225, 277, 308, 278, 226)(170, 228, 217, 264, 206, 229)(184, 243, 288, 314, 289, 244)(192, 252, 199, 259, 207, 253)(195, 256, 297, 318, 298, 257)(200, 255, 294, 310, 280, 232)(201, 231, 224, 274, 300, 260)(209, 265, 303, 319, 299, 266)(215, 271, 305, 321, 306, 272)(240, 285, 313, 322, 309, 286)(246, 291, 315, 324, 316, 292)(261, 301, 320, 307, 276, 302)(281, 311, 323, 317, 296, 312)(325, 326)(327, 331)(328, 333)(329, 335)(330, 337)(332, 341)(334, 345)(336, 348)(338, 352)(339, 353)(340, 355)(342, 359)(343, 360)(344, 362)(346, 366)(347, 368)(349, 372)(350, 373)(351, 375)(354, 381)(356, 371)(357, 385)(358, 369)(361, 377)(363, 394)(364, 374)(365, 396)(367, 400)(370, 404)(376, 413)(378, 415)(379, 412)(380, 418)(382, 422)(383, 423)(384, 424)(386, 428)(387, 421)(388, 430)(389, 419)(390, 433)(391, 434)(392, 435)(393, 398)(395, 437)(397, 441)(399, 443)(401, 447)(402, 448)(403, 449)(405, 453)(406, 446)(407, 455)(408, 444)(409, 458)(410, 459)(411, 460)(414, 462)(416, 466)(417, 467)(420, 445)(425, 452)(426, 477)(427, 450)(429, 481)(431, 483)(432, 480)(436, 489)(438, 463)(439, 492)(440, 485)(442, 494)(451, 504)(454, 508)(456, 510)(457, 507)(461, 516)(464, 519)(465, 512)(468, 514)(469, 523)(470, 524)(471, 525)(472, 522)(473, 527)(474, 509)(475, 530)(476, 531)(478, 533)(479, 521)(482, 501)(484, 539)(486, 541)(487, 495)(488, 542)(490, 545)(491, 548)(493, 546)(496, 554)(497, 555)(498, 556)(499, 553)(500, 558)(502, 561)(503, 562)(505, 564)(506, 552)(511, 570)(513, 572)(515, 573)(517, 576)(518, 579)(520, 577)(526, 585)(528, 567)(529, 584)(532, 563)(534, 582)(535, 590)(536, 559)(537, 586)(538, 589)(540, 571)(543, 598)(544, 581)(547, 600)(549, 597)(550, 575)(551, 565)(557, 605)(560, 604)(566, 610)(568, 606)(569, 609)(574, 618)(578, 620)(580, 617)(583, 623)(587, 616)(588, 627)(591, 621)(592, 625)(593, 614)(594, 613)(595, 619)(596, 607)(599, 615)(601, 611)(602, 631)(603, 633)(608, 637)(612, 635)(622, 641)(624, 636)(626, 634)(628, 640)(629, 642)(630, 638)(632, 639)(643, 647)(644, 646)(645, 648)
	L = (1, 325)(2, 326)(3, 327)(4, 328)(5, 329)(6, 330)(7, 331)(8, 332)(9, 333)(10, 334)(11, 335)(12, 336)(13, 337)(14, 338)(15, 339)(16, 340)(17, 341)(18, 342)(19, 343)(20, 344)(21, 345)(22, 346)(23, 347)(24, 348)(25, 349)(26, 350)(27, 351)(28, 352)(29, 353)(30, 354)(31, 355)(32, 356)(33, 357)(34, 358)(35, 359)(36, 360)(37, 361)(38, 362)(39, 363)(40, 364)(41, 365)(42, 366)(43, 367)(44, 368)(45, 369)(46, 370)(47, 371)(48, 372)(49, 373)(50, 374)(51, 375)(52, 376)(53, 377)(54, 378)(55, 379)(56, 380)(57, 381)(58, 382)(59, 383)(60, 384)(61, 385)(62, 386)(63, 387)(64, 388)(65, 389)(66, 390)(67, 391)(68, 392)(69, 393)(70, 394)(71, 395)(72, 396)(73, 397)(74, 398)(75, 399)(76, 400)(77, 401)(78, 402)(79, 403)(80, 404)(81, 405)(82, 406)(83, 407)(84, 408)(85, 409)(86, 410)(87, 411)(88, 412)(89, 413)(90, 414)(91, 415)(92, 416)(93, 417)(94, 418)(95, 419)(96, 420)(97, 421)(98, 422)(99, 423)(100, 424)(101, 425)(102, 426)(103, 427)(104, 428)(105, 429)(106, 430)(107, 431)(108, 432)(109, 433)(110, 434)(111, 435)(112, 436)(113, 437)(114, 438)(115, 439)(116, 440)(117, 441)(118, 442)(119, 443)(120, 444)(121, 445)(122, 446)(123, 447)(124, 448)(125, 449)(126, 450)(127, 451)(128, 452)(129, 453)(130, 454)(131, 455)(132, 456)(133, 457)(134, 458)(135, 459)(136, 460)(137, 461)(138, 462)(139, 463)(140, 464)(141, 465)(142, 466)(143, 467)(144, 468)(145, 469)(146, 470)(147, 471)(148, 472)(149, 473)(150, 474)(151, 475)(152, 476)(153, 477)(154, 478)(155, 479)(156, 480)(157, 481)(158, 482)(159, 483)(160, 484)(161, 485)(162, 486)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.3215
Transitivity :: ET+
Graph:: simple bipartite
	v = 216 e = 324 f = 54
	degree seq :: [ 2^162, 6^54 ]

E28.3214 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 6})
Quotient :: edge
Aut^+ = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
Aut   = $<648, 299>$ (small group id <648, 299>)
|r| :: 2
Presentation :: [ F^2, (T1^-1 * T2^-1)^2, (F * T1)^2, (F * T2)^2, T2^6, T2^6, T1^6, T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-2 * T2 * T1^-1, (T2^2 * T1^-2 * T2)^2, T1^-1 * T2 * T1^-1 * T2^-1 * T1 * T2^3 * T1 * T2^-1, T2 * T1^2 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-2 * T2^2 * T1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 10, 26, 15, 5)(2, 7, 19, 45, 22, 8)(4, 12, 31, 57, 24, 9)(6, 17, 40, 89, 43, 18)(11, 28, 65, 125, 59, 25)(13, 33, 74, 126, 69, 30)(14, 35, 78, 110, 81, 36)(16, 38, 84, 156, 87, 39)(20, 47, 104, 58, 98, 44)(21, 50, 109, 174, 112, 51)(23, 54, 117, 79, 119, 55)(27, 62, 129, 209, 127, 60)(29, 67, 137, 82, 132, 64)(32, 72, 144, 206, 124, 70)(34, 76, 128, 63, 131, 77)(37, 61, 90, 167, 154, 83)(41, 91, 170, 97, 165, 88)(42, 94, 173, 243, 176, 95)(46, 101, 181, 121, 56, 99)(48, 106, 187, 113, 184, 103)(49, 107, 180, 102, 183, 108)(52, 100, 157, 237, 194, 114)(53, 115, 195, 143, 197, 116)(66, 135, 217, 284, 208, 133)(68, 140, 198, 118, 199, 141)(71, 142, 223, 246, 163, 122)(73, 146, 202, 120, 185, 105)(75, 136, 218, 235, 205, 147)(80, 151, 168, 249, 172, 93)(85, 158, 239, 164, 236, 155)(86, 161, 242, 222, 244, 162)(92, 171, 252, 177, 250, 169)(96, 166, 148, 228, 259, 178)(111, 191, 238, 298, 241, 160)(123, 186, 266, 216, 281, 204)(130, 212, 287, 230, 153, 210)(134, 215, 289, 302, 276, 207)(138, 213, 288, 304, 283, 219)(139, 175, 256, 229, 280, 221)(145, 159, 240, 300, 245, 225)(149, 214, 247, 299, 295, 231)(150, 220, 253, 232, 278, 201)(152, 190, 269, 301, 272, 233)(179, 251, 308, 267, 196, 260)(182, 263, 314, 270, 193, 261)(188, 264, 315, 277, 200, 268)(189, 265, 296, 292, 316, 271)(192, 255, 309, 291, 312, 273)(203, 262, 224, 293, 317, 275)(211, 286, 319, 323, 318, 285)(226, 290, 311, 254, 307, 282)(227, 294, 313, 257, 303, 279)(234, 248, 306, 322, 310, 258)(274, 297, 320, 324, 321, 305)(325, 326, 330, 340, 337, 328)(327, 333, 347, 377, 353, 335)(329, 338, 358, 372, 344, 331)(332, 345, 373, 416, 365, 341)(334, 349, 382, 447, 387, 351)(336, 354, 392, 463, 397, 356)(339, 361, 406, 474, 403, 359)(342, 366, 417, 483, 409, 362)(343, 368, 421, 503, 426, 370)(346, 376, 437, 514, 434, 374)(348, 380, 444, 524, 442, 378)(350, 384, 450, 490, 413, 385)(352, 388, 415, 493, 460, 390)(355, 394, 449, 531, 467, 395)(357, 363, 410, 484, 459, 399)(360, 404, 419, 499, 465, 400)(364, 412, 488, 571, 492, 414)(367, 420, 501, 579, 498, 418)(369, 423, 381, 446, 480, 424)(371, 427, 482, 469, 396, 429)(375, 435, 486, 439, 379, 431)(383, 448, 529, 560, 489, 422)(386, 452, 523, 601, 537, 454)(389, 457, 533, 609, 540, 458)(391, 440, 520, 599, 536, 462)(393, 451, 532, 607, 546, 464)(398, 471, 530, 606, 553, 472)(401, 473, 554, 587, 512, 430)(402, 441, 522, 566, 497, 433)(405, 476, 556, 572, 491, 475)(407, 477, 555, 575, 494, 456)(408, 479, 559, 620, 562, 481)(411, 487, 569, 627, 567, 485)(425, 504, 443, 525, 588, 506)(428, 509, 445, 527, 591, 510)(432, 513, 594, 630, 577, 495)(436, 516, 596, 621, 561, 515)(438, 517, 595, 623, 563, 508)(453, 534, 478, 558, 583, 535)(455, 528, 604, 631, 573, 538)(461, 543, 608, 633, 576, 544)(466, 519, 568, 628, 618, 548)(468, 549, 570, 629, 613, 550)(470, 545, 605, 642, 617, 551)(496, 578, 634, 644, 625, 564)(500, 581, 636, 610, 552, 580)(502, 582, 635, 616, 542, 574)(505, 585, 518, 598, 547, 586)(507, 584, 521, 600, 622, 589)(511, 592, 526, 603, 624, 593)(539, 590, 632, 619, 640, 614)(541, 565, 626, 645, 643, 615)(557, 597, 637, 612, 639, 602)(611, 641, 647, 648, 646, 638)
	L = (1, 325)(2, 326)(3, 327)(4, 328)(5, 329)(6, 330)(7, 331)(8, 332)(9, 333)(10, 334)(11, 335)(12, 336)(13, 337)(14, 338)(15, 339)(16, 340)(17, 341)(18, 342)(19, 343)(20, 344)(21, 345)(22, 346)(23, 347)(24, 348)(25, 349)(26, 350)(27, 351)(28, 352)(29, 353)(30, 354)(31, 355)(32, 356)(33, 357)(34, 358)(35, 359)(36, 360)(37, 361)(38, 362)(39, 363)(40, 364)(41, 365)(42, 366)(43, 367)(44, 368)(45, 369)(46, 370)(47, 371)(48, 372)(49, 373)(50, 374)(51, 375)(52, 376)(53, 377)(54, 378)(55, 379)(56, 380)(57, 381)(58, 382)(59, 383)(60, 384)(61, 385)(62, 386)(63, 387)(64, 388)(65, 389)(66, 390)(67, 391)(68, 392)(69, 393)(70, 394)(71, 395)(72, 396)(73, 397)(74, 398)(75, 399)(76, 400)(77, 401)(78, 402)(79, 403)(80, 404)(81, 405)(82, 406)(83, 407)(84, 408)(85, 409)(86, 410)(87, 411)(88, 412)(89, 413)(90, 414)(91, 415)(92, 416)(93, 417)(94, 418)(95, 419)(96, 420)(97, 421)(98, 422)(99, 423)(100, 424)(101, 425)(102, 426)(103, 427)(104, 428)(105, 429)(106, 430)(107, 431)(108, 432)(109, 433)(110, 434)(111, 435)(112, 436)(113, 437)(114, 438)(115, 439)(116, 440)(117, 441)(118, 442)(119, 443)(120, 444)(121, 445)(122, 446)(123, 447)(124, 448)(125, 449)(126, 450)(127, 451)(128, 452)(129, 453)(130, 454)(131, 455)(132, 456)(133, 457)(134, 458)(135, 459)(136, 460)(137, 461)(138, 462)(139, 463)(140, 464)(141, 465)(142, 466)(143, 467)(144, 468)(145, 469)(146, 470)(147, 471)(148, 472)(149, 473)(150, 474)(151, 475)(152, 476)(153, 477)(154, 478)(155, 479)(156, 480)(157, 481)(158, 482)(159, 483)(160, 484)(161, 485)(162, 486)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E28.3217
Transitivity :: ET+
Graph:: simple bipartite
	v = 108 e = 324 f = 162
	degree seq :: [ 6^108 ]

E28.3215 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 6})
Quotient :: loop
Aut^+ = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
Aut   = $<648, 299>$ (small group id <648, 299>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T2^-1 * T1)^6, T2^-1 * T1 * T2^-2 * T1 * T2^2 * T1 * T2^2 * T1 * T2^-1, (T2 * T1 * T2^-1 * T1 * T2^-1 * T1)^2 ]
Map::
	R = (1, 325, 3, 327, 8, 332, 18, 342, 10, 334, 4, 328)(2, 326, 5, 329, 12, 336, 25, 349, 14, 338, 6, 330)(7, 331, 15, 339, 30, 354, 58, 382, 32, 356, 16, 340)(9, 333, 19, 343, 37, 361, 71, 395, 39, 363, 20, 344)(11, 335, 22, 346, 43, 367, 82, 406, 45, 369, 23, 347)(13, 337, 26, 350, 50, 374, 95, 419, 52, 376, 27, 351)(17, 341, 33, 357, 63, 387, 114, 438, 65, 389, 34, 358)(21, 345, 40, 364, 76, 400, 130, 454, 78, 402, 41, 365)(24, 348, 46, 370, 87, 411, 144, 468, 89, 413, 47, 371)(28, 352, 53, 377, 100, 424, 160, 484, 102, 426, 54, 378)(29, 353, 55, 379, 103, 427, 163, 487, 104, 428, 56, 380)(31, 355, 59, 383, 108, 432, 168, 492, 109, 433, 60, 384)(35, 359, 66, 390, 118, 442, 178, 502, 120, 444, 67, 391)(36, 360, 68, 392, 121, 445, 181, 505, 122, 446, 69, 393)(38, 362, 72, 396, 125, 449, 185, 509, 126, 450, 73, 397)(42, 366, 79, 403, 133, 457, 192, 516, 134, 458, 80, 404)(44, 368, 83, 407, 138, 462, 197, 521, 139, 463, 84, 408)(48, 372, 90, 414, 148, 472, 207, 531, 150, 474, 91, 415)(49, 373, 92, 416, 151, 475, 210, 534, 152, 476, 93, 417)(51, 375, 96, 420, 155, 479, 214, 538, 156, 480, 97, 421)(57, 381, 105, 429, 165, 489, 123, 447, 70, 394, 106, 430)(61, 385, 110, 434, 170, 494, 127, 451, 74, 398, 111, 435)(62, 386, 112, 436, 171, 495, 227, 551, 172, 496, 113, 437)(64, 388, 115, 439, 174, 498, 230, 554, 175, 499, 116, 440)(75, 399, 128, 452, 187, 511, 242, 566, 188, 512, 129, 453)(77, 401, 131, 455, 190, 514, 245, 569, 191, 515, 132, 456)(81, 405, 135, 459, 194, 518, 153, 477, 94, 418, 136, 460)(85, 409, 140, 464, 199, 523, 157, 481, 98, 422, 141, 465)(86, 410, 142, 466, 200, 524, 252, 576, 201, 525, 143, 467)(88, 412, 145, 469, 203, 527, 255, 579, 204, 528, 146, 470)(99, 423, 158, 482, 216, 540, 267, 591, 217, 541, 159, 483)(101, 425, 161, 485, 219, 543, 270, 594, 220, 544, 162, 486)(107, 431, 166, 490, 223, 547, 273, 597, 224, 548, 167, 491)(117, 441, 176, 500, 231, 555, 278, 602, 232, 556, 177, 501)(119, 443, 179, 503, 234, 558, 281, 605, 235, 559, 180, 504)(124, 448, 183, 507, 238, 562, 284, 608, 239, 563, 184, 508)(137, 461, 195, 519, 248, 572, 291, 615, 249, 573, 196, 520)(147, 471, 205, 529, 256, 580, 296, 620, 257, 581, 206, 530)(149, 473, 208, 532, 259, 583, 299, 623, 260, 584, 209, 533)(154, 478, 212, 536, 263, 587, 302, 626, 264, 588, 213, 537)(164, 488, 221, 545, 271, 595, 307, 631, 272, 596, 222, 546)(169, 493, 225, 549, 274, 598, 308, 632, 275, 599, 226, 550)(173, 497, 228, 552, 276, 600, 309, 633, 277, 601, 229, 553)(182, 506, 236, 560, 282, 606, 312, 636, 283, 607, 237, 561)(186, 510, 240, 564, 285, 609, 313, 637, 286, 610, 241, 565)(189, 513, 243, 567, 287, 611, 314, 638, 288, 612, 244, 568)(193, 517, 246, 570, 289, 613, 315, 639, 290, 614, 247, 571)(198, 522, 250, 574, 292, 616, 316, 640, 293, 617, 251, 575)(202, 526, 253, 577, 294, 618, 317, 641, 295, 619, 254, 578)(211, 535, 261, 585, 300, 624, 320, 644, 301, 625, 262, 586)(215, 539, 265, 589, 303, 627, 321, 645, 304, 628, 266, 590)(218, 542, 268, 592, 305, 629, 322, 646, 306, 630, 269, 593)(233, 557, 279, 603, 310, 634, 323, 647, 311, 635, 280, 604)(258, 582, 297, 621, 318, 642, 324, 648, 319, 643, 298, 622)
	L = (1, 326)(2, 325)(3, 331)(4, 333)(5, 335)(6, 337)(7, 327)(8, 341)(9, 328)(10, 345)(11, 329)(12, 348)(13, 330)(14, 352)(15, 353)(16, 355)(17, 332)(18, 359)(19, 360)(20, 362)(21, 334)(22, 366)(23, 368)(24, 336)(25, 372)(26, 373)(27, 375)(28, 338)(29, 339)(30, 381)(31, 340)(32, 385)(33, 386)(34, 388)(35, 342)(36, 343)(37, 394)(38, 344)(39, 398)(40, 399)(41, 401)(42, 346)(43, 405)(44, 347)(45, 409)(46, 410)(47, 412)(48, 349)(49, 350)(50, 418)(51, 351)(52, 422)(53, 423)(54, 425)(55, 421)(56, 408)(57, 354)(58, 431)(59, 417)(60, 404)(61, 356)(62, 357)(63, 411)(64, 358)(65, 424)(66, 441)(67, 443)(68, 420)(69, 407)(70, 361)(71, 448)(72, 416)(73, 403)(74, 363)(75, 364)(76, 413)(77, 365)(78, 426)(79, 397)(80, 384)(81, 367)(82, 461)(83, 393)(84, 380)(85, 369)(86, 370)(87, 387)(88, 371)(89, 400)(90, 471)(91, 473)(92, 396)(93, 383)(94, 374)(95, 478)(96, 392)(97, 379)(98, 376)(99, 377)(100, 389)(101, 378)(102, 402)(103, 482)(104, 466)(105, 488)(106, 465)(107, 382)(108, 483)(109, 467)(110, 493)(111, 460)(112, 458)(113, 463)(114, 497)(115, 476)(116, 480)(117, 390)(118, 489)(119, 391)(120, 494)(121, 485)(122, 469)(123, 506)(124, 395)(125, 486)(126, 470)(127, 510)(128, 457)(129, 462)(130, 513)(131, 475)(132, 479)(133, 452)(134, 436)(135, 517)(136, 435)(137, 406)(138, 453)(139, 437)(140, 522)(141, 430)(142, 428)(143, 433)(144, 526)(145, 446)(146, 450)(147, 414)(148, 518)(149, 415)(150, 523)(151, 455)(152, 439)(153, 535)(154, 419)(155, 456)(156, 440)(157, 539)(158, 427)(159, 432)(160, 542)(161, 445)(162, 449)(163, 533)(164, 429)(165, 442)(166, 537)(167, 520)(168, 530)(169, 434)(170, 444)(171, 549)(172, 545)(173, 438)(174, 550)(175, 546)(176, 538)(177, 521)(178, 557)(179, 534)(180, 516)(181, 532)(182, 447)(183, 536)(184, 519)(185, 529)(186, 451)(187, 564)(188, 560)(189, 454)(190, 565)(191, 561)(192, 504)(193, 459)(194, 472)(195, 508)(196, 491)(197, 501)(198, 464)(199, 474)(200, 574)(201, 570)(202, 468)(203, 575)(204, 571)(205, 509)(206, 492)(207, 582)(208, 505)(209, 487)(210, 503)(211, 477)(212, 507)(213, 490)(214, 500)(215, 481)(216, 589)(217, 585)(218, 484)(219, 590)(220, 586)(221, 496)(222, 499)(223, 591)(224, 576)(225, 495)(226, 498)(227, 573)(228, 581)(229, 584)(230, 588)(231, 592)(232, 577)(233, 502)(234, 593)(235, 578)(236, 512)(237, 515)(238, 594)(239, 579)(240, 511)(241, 514)(242, 572)(243, 580)(244, 583)(245, 587)(246, 525)(247, 528)(248, 566)(249, 551)(250, 524)(251, 527)(252, 548)(253, 556)(254, 559)(255, 563)(256, 567)(257, 552)(258, 531)(259, 568)(260, 553)(261, 541)(262, 544)(263, 569)(264, 554)(265, 540)(266, 543)(267, 547)(268, 555)(269, 558)(270, 562)(271, 616)(272, 627)(273, 622)(274, 613)(275, 624)(276, 632)(277, 631)(278, 623)(279, 626)(280, 615)(281, 620)(282, 617)(283, 628)(284, 621)(285, 614)(286, 625)(287, 637)(288, 636)(289, 598)(290, 609)(291, 604)(292, 595)(293, 606)(294, 640)(295, 639)(296, 605)(297, 608)(298, 597)(299, 602)(300, 599)(301, 610)(302, 603)(303, 596)(304, 607)(305, 645)(306, 644)(307, 601)(308, 600)(309, 643)(310, 646)(311, 641)(312, 612)(313, 611)(314, 642)(315, 619)(316, 618)(317, 635)(318, 638)(319, 633)(320, 630)(321, 629)(322, 634)(323, 648)(324, 647)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.3213
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 54 e = 324 f = 216
	degree seq :: [ 12^54 ]

E28.3216 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 6})
Quotient :: loop
Aut^+ = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
Aut   = $<648, 299>$ (small group id <648, 299>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T2^-1 * T1 * T2^2 * T1)^2, (T2^-1 * T1)^6, T2 * T1 * T2^2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-1 * T1 ]
Map::
	R = (1, 325, 3, 327, 8, 332, 18, 342, 10, 334, 4, 328)(2, 326, 5, 329, 12, 336, 25, 349, 14, 338, 6, 330)(7, 331, 15, 339, 30, 354, 58, 382, 32, 356, 16, 340)(9, 333, 19, 343, 37, 361, 67, 391, 39, 363, 20, 344)(11, 335, 22, 346, 43, 367, 77, 401, 45, 369, 23, 347)(13, 337, 26, 350, 50, 374, 86, 410, 52, 376, 27, 351)(17, 341, 33, 357, 62, 386, 105, 429, 63, 387, 34, 358)(21, 345, 40, 364, 71, 395, 115, 439, 73, 397, 41, 365)(24, 348, 46, 370, 81, 405, 130, 454, 82, 406, 47, 371)(28, 352, 53, 377, 90, 414, 140, 464, 92, 416, 54, 378)(29, 353, 55, 379, 93, 417, 144, 468, 95, 419, 56, 380)(31, 355, 59, 383, 36, 360, 66, 390, 101, 425, 60, 384)(35, 359, 64, 388, 107, 431, 160, 484, 108, 432, 65, 389)(38, 362, 68, 392, 106, 430, 158, 482, 112, 436, 69, 393)(42, 366, 74, 398, 118, 442, 171, 495, 120, 444, 75, 399)(44, 368, 78, 402, 49, 373, 85, 409, 126, 450, 79, 403)(48, 372, 83, 407, 132, 456, 187, 511, 133, 457, 84, 408)(51, 375, 87, 411, 131, 455, 185, 509, 137, 461, 88, 412)(57, 381, 96, 420, 147, 471, 202, 526, 148, 472, 97, 421)(61, 385, 102, 426, 154, 478, 116, 440, 72, 396, 103, 427)(70, 394, 113, 437, 166, 490, 223, 547, 167, 491, 114, 438)(76, 400, 121, 445, 174, 498, 233, 557, 175, 499, 122, 446)(80, 404, 127, 451, 181, 505, 141, 465, 91, 415, 128, 452)(89, 413, 138, 462, 193, 517, 254, 578, 194, 518, 139, 463)(94, 418, 145, 469, 99, 423, 151, 475, 111, 435, 146, 470)(98, 422, 149, 473, 204, 528, 263, 587, 205, 529, 150, 474)(100, 424, 152, 476, 203, 527, 262, 586, 208, 532, 153, 477)(104, 428, 155, 479, 210, 534, 267, 591, 211, 535, 156, 480)(109, 433, 161, 485, 216, 540, 273, 597, 218, 542, 162, 486)(110, 434, 163, 487, 219, 543, 275, 599, 220, 544, 164, 488)(117, 441, 159, 483, 214, 538, 270, 594, 227, 551, 169, 493)(119, 443, 172, 496, 124, 448, 178, 502, 136, 460, 173, 497)(123, 447, 176, 500, 235, 559, 283, 607, 236, 560, 177, 501)(125, 449, 179, 503, 234, 558, 282, 606, 239, 563, 180, 504)(129, 453, 182, 506, 241, 565, 287, 611, 242, 566, 183, 507)(134, 458, 188, 512, 247, 571, 293, 617, 249, 573, 189, 513)(135, 459, 190, 514, 250, 574, 295, 619, 251, 575, 191, 515)(142, 466, 186, 510, 245, 569, 290, 614, 258, 582, 196, 520)(143, 467, 197, 521, 248, 572, 284, 608, 237, 561, 198, 522)(157, 481, 212, 536, 268, 592, 304, 628, 269, 593, 213, 537)(165, 489, 221, 545, 230, 554, 279, 603, 238, 562, 222, 546)(168, 492, 225, 549, 277, 601, 308, 632, 278, 602, 226, 550)(170, 494, 228, 552, 217, 541, 264, 588, 206, 530, 229, 553)(184, 508, 243, 567, 288, 612, 314, 638, 289, 613, 244, 568)(192, 516, 252, 576, 199, 523, 259, 583, 207, 531, 253, 577)(195, 519, 256, 580, 297, 621, 318, 642, 298, 622, 257, 581)(200, 524, 255, 579, 294, 618, 310, 634, 280, 604, 232, 556)(201, 525, 231, 555, 224, 548, 274, 598, 300, 624, 260, 584)(209, 533, 265, 589, 303, 627, 319, 643, 299, 623, 266, 590)(215, 539, 271, 595, 305, 629, 321, 645, 306, 630, 272, 596)(240, 564, 285, 609, 313, 637, 322, 646, 309, 633, 286, 610)(246, 570, 291, 615, 315, 639, 324, 648, 316, 640, 292, 616)(261, 585, 301, 625, 320, 644, 307, 631, 276, 600, 302, 626)(281, 605, 311, 635, 323, 647, 317, 641, 296, 620, 312, 636)
	L = (1, 326)(2, 325)(3, 331)(4, 333)(5, 335)(6, 337)(7, 327)(8, 341)(9, 328)(10, 345)(11, 329)(12, 348)(13, 330)(14, 352)(15, 353)(16, 355)(17, 332)(18, 359)(19, 360)(20, 362)(21, 334)(22, 366)(23, 368)(24, 336)(25, 372)(26, 373)(27, 375)(28, 338)(29, 339)(30, 381)(31, 340)(32, 371)(33, 385)(34, 369)(35, 342)(36, 343)(37, 377)(38, 344)(39, 394)(40, 374)(41, 396)(42, 346)(43, 400)(44, 347)(45, 358)(46, 404)(47, 356)(48, 349)(49, 350)(50, 364)(51, 351)(52, 413)(53, 361)(54, 415)(55, 412)(56, 418)(57, 354)(58, 422)(59, 423)(60, 424)(61, 357)(62, 428)(63, 421)(64, 430)(65, 419)(66, 433)(67, 434)(68, 435)(69, 398)(70, 363)(71, 437)(72, 365)(73, 441)(74, 393)(75, 443)(76, 367)(77, 447)(78, 448)(79, 449)(80, 370)(81, 453)(82, 446)(83, 455)(84, 444)(85, 458)(86, 459)(87, 460)(88, 379)(89, 376)(90, 462)(91, 378)(92, 466)(93, 467)(94, 380)(95, 389)(96, 445)(97, 387)(98, 382)(99, 383)(100, 384)(101, 452)(102, 477)(103, 450)(104, 386)(105, 481)(106, 388)(107, 483)(108, 480)(109, 390)(110, 391)(111, 392)(112, 489)(113, 395)(114, 463)(115, 492)(116, 485)(117, 397)(118, 494)(119, 399)(120, 408)(121, 420)(122, 406)(123, 401)(124, 402)(125, 403)(126, 427)(127, 504)(128, 425)(129, 405)(130, 508)(131, 407)(132, 510)(133, 507)(134, 409)(135, 410)(136, 411)(137, 516)(138, 414)(139, 438)(140, 519)(141, 512)(142, 416)(143, 417)(144, 514)(145, 523)(146, 524)(147, 525)(148, 522)(149, 527)(150, 509)(151, 530)(152, 531)(153, 426)(154, 533)(155, 521)(156, 432)(157, 429)(158, 501)(159, 431)(160, 539)(161, 440)(162, 541)(163, 495)(164, 542)(165, 436)(166, 545)(167, 548)(168, 439)(169, 546)(170, 442)(171, 487)(172, 554)(173, 555)(174, 556)(175, 553)(176, 558)(177, 482)(178, 561)(179, 562)(180, 451)(181, 564)(182, 552)(183, 457)(184, 454)(185, 474)(186, 456)(187, 570)(188, 465)(189, 572)(190, 468)(191, 573)(192, 461)(193, 576)(194, 579)(195, 464)(196, 577)(197, 479)(198, 472)(199, 469)(200, 470)(201, 471)(202, 585)(203, 473)(204, 567)(205, 584)(206, 475)(207, 476)(208, 563)(209, 478)(210, 582)(211, 590)(212, 559)(213, 586)(214, 589)(215, 484)(216, 571)(217, 486)(218, 488)(219, 598)(220, 581)(221, 490)(222, 493)(223, 600)(224, 491)(225, 597)(226, 575)(227, 565)(228, 506)(229, 499)(230, 496)(231, 497)(232, 498)(233, 605)(234, 500)(235, 536)(236, 604)(237, 502)(238, 503)(239, 532)(240, 505)(241, 551)(242, 610)(243, 528)(244, 606)(245, 609)(246, 511)(247, 540)(248, 513)(249, 515)(250, 618)(251, 550)(252, 517)(253, 520)(254, 620)(255, 518)(256, 617)(257, 544)(258, 534)(259, 623)(260, 529)(261, 526)(262, 537)(263, 616)(264, 627)(265, 538)(266, 535)(267, 621)(268, 625)(269, 614)(270, 613)(271, 619)(272, 607)(273, 549)(274, 543)(275, 615)(276, 547)(277, 611)(278, 631)(279, 633)(280, 560)(281, 557)(282, 568)(283, 596)(284, 637)(285, 569)(286, 566)(287, 601)(288, 635)(289, 594)(290, 593)(291, 599)(292, 587)(293, 580)(294, 574)(295, 595)(296, 578)(297, 591)(298, 641)(299, 583)(300, 636)(301, 592)(302, 634)(303, 588)(304, 640)(305, 642)(306, 638)(307, 602)(308, 639)(309, 603)(310, 626)(311, 612)(312, 624)(313, 608)(314, 630)(315, 632)(316, 628)(317, 622)(318, 629)(319, 647)(320, 646)(321, 648)(322, 644)(323, 643)(324, 645)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.3212
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 54 e = 324 f = 216
	degree seq :: [ 12^54 ]

E28.3217 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 6})
Quotient :: loop
Aut^+ = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
Aut   = $<648, 299>$ (small group id <648, 299>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T2 * T1^-1)^6, (T2 * T1 * T2 * T1 * T2 * T1^-1)^2, T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-2 ]
Map:: polyhedral non-degenerate
	R = (1, 325, 3, 327)(2, 326, 6, 330)(4, 328, 9, 333)(5, 329, 12, 336)(7, 331, 16, 340)(8, 332, 17, 341)(10, 334, 21, 345)(11, 335, 22, 346)(13, 337, 26, 350)(14, 338, 27, 351)(15, 339, 30, 354)(18, 342, 35, 359)(19, 343, 37, 361)(20, 344, 38, 362)(23, 347, 45, 369)(24, 348, 46, 370)(25, 349, 49, 373)(28, 352, 54, 378)(29, 353, 55, 379)(31, 355, 59, 383)(32, 356, 60, 384)(33, 357, 63, 387)(34, 358, 64, 388)(36, 360, 69, 393)(39, 363, 74, 398)(40, 364, 76, 400)(41, 365, 77, 401)(42, 366, 80, 404)(43, 367, 81, 405)(44, 368, 84, 408)(47, 371, 89, 413)(48, 372, 90, 414)(50, 374, 94, 418)(51, 375, 95, 419)(52, 376, 98, 422)(53, 377, 99, 423)(56, 380, 105, 429)(57, 381, 106, 430)(58, 382, 109, 433)(61, 385, 112, 436)(62, 386, 114, 438)(65, 389, 117, 441)(66, 390, 118, 442)(67, 391, 119, 443)(68, 392, 121, 445)(70, 394, 116, 440)(71, 395, 111, 435)(72, 396, 115, 439)(73, 397, 110, 434)(75, 399, 107, 431)(78, 402, 120, 444)(79, 403, 134, 458)(82, 406, 139, 463)(83, 407, 140, 464)(85, 409, 143, 467)(86, 410, 144, 468)(87, 411, 147, 471)(88, 412, 148, 472)(91, 415, 153, 477)(92, 416, 154, 478)(93, 417, 156, 480)(96, 420, 157, 481)(97, 421, 159, 483)(100, 424, 160, 484)(101, 425, 161, 485)(102, 426, 162, 486)(103, 427, 164, 488)(104, 428, 165, 489)(108, 432, 169, 493)(113, 437, 174, 498)(122, 446, 183, 507)(123, 447, 179, 503)(124, 448, 167, 491)(125, 449, 180, 504)(126, 450, 168, 492)(127, 451, 186, 510)(128, 452, 187, 511)(129, 453, 171, 495)(130, 454, 172, 496)(131, 455, 176, 500)(132, 456, 177, 501)(133, 457, 192, 516)(135, 459, 194, 518)(136, 460, 195, 519)(137, 461, 198, 522)(138, 462, 199, 523)(141, 465, 203, 527)(142, 466, 205, 529)(145, 469, 206, 530)(146, 470, 208, 532)(149, 473, 209, 533)(150, 474, 210, 534)(151, 475, 212, 536)(152, 476, 213, 537)(155, 479, 215, 539)(158, 482, 218, 542)(163, 487, 222, 546)(166, 490, 225, 549)(170, 494, 229, 553)(173, 497, 230, 554)(175, 499, 232, 556)(178, 502, 233, 557)(181, 505, 231, 555)(182, 506, 228, 552)(184, 508, 224, 548)(185, 509, 223, 547)(188, 512, 240, 564)(189, 513, 238, 562)(190, 514, 241, 565)(191, 515, 239, 563)(193, 517, 249, 573)(196, 520, 250, 574)(197, 521, 252, 576)(200, 524, 253, 577)(201, 525, 255, 579)(202, 526, 256, 580)(204, 528, 258, 582)(207, 531, 261, 585)(211, 535, 265, 589)(214, 538, 266, 590)(216, 540, 267, 591)(217, 541, 268, 592)(219, 543, 269, 593)(220, 544, 270, 594)(221, 545, 271, 595)(226, 550, 275, 599)(227, 551, 276, 600)(234, 558, 280, 604)(235, 559, 279, 603)(236, 560, 281, 605)(237, 561, 274, 598)(242, 566, 272, 596)(243, 567, 273, 597)(244, 568, 277, 601)(245, 569, 278, 602)(246, 570, 290, 614)(247, 571, 291, 615)(248, 572, 293, 617)(251, 575, 296, 620)(254, 578, 300, 624)(257, 581, 301, 625)(259, 583, 302, 626)(260, 584, 303, 627)(262, 586, 304, 628)(263, 587, 305, 629)(264, 588, 306, 630)(282, 606, 307, 631)(283, 607, 308, 632)(284, 608, 311, 635)(285, 609, 309, 633)(286, 610, 310, 634)(287, 611, 313, 637)(288, 612, 312, 636)(289, 613, 316, 640)(292, 616, 317, 641)(294, 618, 318, 642)(295, 619, 319, 643)(297, 621, 320, 644)(298, 622, 321, 645)(299, 623, 322, 646)(314, 638, 323, 647)(315, 639, 324, 648)
	L = (1, 326)(2, 329)(3, 331)(4, 325)(5, 335)(6, 337)(7, 339)(8, 327)(9, 343)(10, 328)(11, 334)(12, 347)(13, 349)(14, 330)(15, 353)(16, 355)(17, 357)(18, 332)(19, 360)(20, 333)(21, 364)(22, 366)(23, 368)(24, 336)(25, 372)(26, 374)(27, 376)(28, 338)(29, 342)(30, 380)(31, 382)(32, 340)(33, 386)(34, 341)(35, 390)(36, 392)(37, 394)(38, 396)(39, 344)(40, 399)(41, 345)(42, 403)(43, 346)(44, 407)(45, 409)(46, 411)(47, 348)(48, 352)(49, 415)(50, 417)(51, 350)(52, 421)(53, 351)(54, 425)(55, 427)(56, 408)(57, 354)(58, 432)(59, 434)(60, 435)(61, 356)(62, 437)(63, 439)(64, 440)(65, 358)(66, 413)(67, 359)(68, 363)(69, 416)(70, 447)(71, 361)(72, 449)(73, 362)(74, 426)(75, 452)(76, 453)(77, 455)(78, 365)(79, 457)(80, 459)(81, 461)(82, 367)(83, 371)(84, 465)(85, 466)(86, 369)(87, 470)(88, 370)(89, 474)(90, 475)(91, 458)(92, 373)(93, 479)(94, 388)(95, 384)(96, 375)(97, 482)(98, 387)(99, 383)(100, 377)(101, 463)(102, 378)(103, 487)(104, 379)(105, 481)(106, 491)(107, 381)(108, 385)(109, 494)(110, 495)(111, 496)(112, 497)(113, 389)(114, 486)(115, 500)(116, 501)(117, 478)(118, 480)(119, 503)(120, 391)(121, 505)(122, 393)(123, 508)(124, 395)(125, 509)(126, 397)(127, 398)(128, 402)(129, 512)(130, 400)(131, 514)(132, 401)(133, 406)(134, 446)(135, 517)(136, 404)(137, 521)(138, 405)(139, 451)(140, 525)(141, 431)(142, 528)(143, 423)(144, 419)(145, 410)(146, 531)(147, 422)(148, 418)(149, 412)(150, 444)(151, 535)(152, 414)(153, 530)(154, 436)(155, 420)(156, 540)(157, 541)(158, 424)(159, 442)(160, 429)(161, 529)(162, 433)(163, 545)(164, 547)(165, 548)(166, 428)(167, 550)(168, 430)(169, 552)(170, 546)(171, 523)(172, 519)(173, 549)(174, 555)(175, 438)(176, 522)(177, 518)(178, 441)(179, 558)(180, 443)(181, 560)(182, 445)(183, 562)(184, 448)(185, 450)(186, 564)(187, 566)(188, 568)(189, 454)(190, 569)(191, 456)(192, 570)(193, 572)(194, 472)(195, 468)(196, 460)(197, 575)(198, 471)(199, 467)(200, 462)(201, 578)(202, 464)(203, 574)(204, 469)(205, 583)(206, 584)(207, 473)(208, 485)(209, 477)(210, 573)(211, 588)(212, 498)(213, 493)(214, 476)(215, 489)(216, 589)(217, 590)(218, 488)(219, 483)(220, 484)(221, 490)(222, 499)(223, 596)(224, 597)(225, 502)(226, 598)(227, 492)(228, 601)(229, 594)(230, 592)(231, 602)(232, 593)(233, 591)(234, 605)(235, 504)(236, 606)(237, 506)(238, 607)(239, 507)(240, 609)(241, 510)(242, 611)(243, 511)(244, 513)(245, 515)(246, 613)(247, 516)(248, 520)(249, 618)(250, 619)(251, 524)(252, 534)(253, 527)(254, 623)(255, 542)(256, 539)(257, 526)(258, 537)(259, 624)(260, 625)(261, 536)(262, 532)(263, 533)(264, 538)(265, 543)(266, 544)(267, 629)(268, 627)(269, 628)(270, 626)(271, 631)(272, 620)(273, 617)(274, 551)(275, 554)(276, 553)(277, 615)(278, 614)(279, 556)(280, 557)(281, 559)(282, 561)(283, 636)(284, 563)(285, 637)(286, 565)(287, 638)(288, 567)(289, 639)(290, 585)(291, 582)(292, 571)(293, 580)(294, 640)(295, 641)(296, 579)(297, 576)(298, 577)(299, 581)(300, 586)(301, 587)(302, 645)(303, 643)(304, 644)(305, 642)(306, 595)(307, 647)(308, 599)(309, 600)(310, 603)(311, 604)(312, 608)(313, 610)(314, 612)(315, 616)(316, 621)(317, 622)(318, 635)(319, 632)(320, 634)(321, 633)(322, 630)(323, 648)(324, 646)
	local type(s) :: { ( 6^4 ) }
Outer automorphisms :: reflexible
Dual of E28.3214
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 162 e = 324 f = 108
	degree seq :: [ 4^162 ]

E28.3218 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
Aut   = $<648, 299>$ (small group id <648, 299>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^6, (R * Y2^-2 * Y1)^2, (Y2^-1 * Y1)^6, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1 * Y2^-1, (Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1)^2, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 325, 2, 326)(3, 327, 7, 331)(4, 328, 9, 333)(5, 329, 11, 335)(6, 330, 13, 337)(8, 332, 17, 341)(10, 334, 21, 345)(12, 336, 24, 348)(14, 338, 28, 352)(15, 339, 29, 353)(16, 340, 31, 355)(18, 342, 35, 359)(19, 343, 36, 360)(20, 344, 38, 362)(22, 346, 42, 366)(23, 347, 44, 368)(25, 349, 48, 372)(26, 350, 49, 373)(27, 351, 51, 375)(30, 354, 57, 381)(32, 356, 61, 385)(33, 357, 62, 386)(34, 358, 64, 388)(37, 361, 70, 394)(39, 363, 74, 398)(40, 364, 75, 399)(41, 365, 77, 401)(43, 367, 81, 405)(45, 369, 85, 409)(46, 370, 86, 410)(47, 371, 88, 412)(50, 374, 94, 418)(52, 376, 98, 422)(53, 377, 99, 423)(54, 378, 101, 425)(55, 379, 97, 421)(56, 380, 84, 408)(58, 382, 107, 431)(59, 383, 93, 417)(60, 384, 80, 404)(63, 387, 87, 411)(65, 389, 100, 424)(66, 390, 117, 441)(67, 391, 119, 443)(68, 392, 96, 420)(69, 393, 83, 407)(71, 395, 124, 448)(72, 396, 92, 416)(73, 397, 79, 403)(76, 400, 89, 413)(78, 402, 102, 426)(82, 406, 137, 461)(90, 414, 147, 471)(91, 415, 149, 473)(95, 419, 154, 478)(103, 427, 158, 482)(104, 428, 142, 466)(105, 429, 164, 488)(106, 430, 141, 465)(108, 432, 159, 483)(109, 433, 143, 467)(110, 434, 169, 493)(111, 435, 136, 460)(112, 436, 134, 458)(113, 437, 139, 463)(114, 438, 173, 497)(115, 439, 152, 476)(116, 440, 156, 480)(118, 442, 165, 489)(120, 444, 170, 494)(121, 445, 161, 485)(122, 446, 145, 469)(123, 447, 182, 506)(125, 449, 162, 486)(126, 450, 146, 470)(127, 451, 186, 510)(128, 452, 133, 457)(129, 453, 138, 462)(130, 454, 189, 513)(131, 455, 151, 475)(132, 456, 155, 479)(135, 459, 193, 517)(140, 464, 198, 522)(144, 468, 202, 526)(148, 472, 194, 518)(150, 474, 199, 523)(153, 477, 211, 535)(157, 481, 215, 539)(160, 484, 218, 542)(163, 487, 209, 533)(166, 490, 213, 537)(167, 491, 196, 520)(168, 492, 206, 530)(171, 495, 225, 549)(172, 496, 221, 545)(174, 498, 226, 550)(175, 499, 222, 546)(176, 500, 214, 538)(177, 501, 197, 521)(178, 502, 233, 557)(179, 503, 210, 534)(180, 504, 192, 516)(181, 505, 208, 532)(183, 507, 212, 536)(184, 508, 195, 519)(185, 509, 205, 529)(187, 511, 240, 564)(188, 512, 236, 560)(190, 514, 241, 565)(191, 515, 237, 561)(200, 524, 250, 574)(201, 525, 246, 570)(203, 527, 251, 575)(204, 528, 247, 571)(207, 531, 258, 582)(216, 540, 265, 589)(217, 541, 261, 585)(219, 543, 266, 590)(220, 544, 262, 586)(223, 547, 267, 591)(224, 548, 252, 576)(227, 551, 249, 573)(228, 552, 257, 581)(229, 553, 260, 584)(230, 554, 264, 588)(231, 555, 268, 592)(232, 556, 253, 577)(234, 558, 269, 593)(235, 559, 254, 578)(238, 562, 270, 594)(239, 563, 255, 579)(242, 566, 248, 572)(243, 567, 256, 580)(244, 568, 259, 583)(245, 569, 263, 587)(271, 595, 292, 616)(272, 596, 303, 627)(273, 597, 298, 622)(274, 598, 289, 613)(275, 599, 300, 624)(276, 600, 308, 632)(277, 601, 307, 631)(278, 602, 299, 623)(279, 603, 302, 626)(280, 604, 291, 615)(281, 605, 296, 620)(282, 606, 293, 617)(283, 607, 304, 628)(284, 608, 297, 621)(285, 609, 290, 614)(286, 610, 301, 625)(287, 611, 313, 637)(288, 612, 312, 636)(294, 618, 316, 640)(295, 619, 315, 639)(305, 629, 321, 645)(306, 630, 320, 644)(309, 633, 319, 643)(310, 634, 322, 646)(311, 635, 317, 641)(314, 638, 318, 642)(323, 647, 324, 648)(649, 973, 651, 975, 656, 980, 666, 990, 658, 982, 652, 976)(650, 974, 653, 977, 660, 984, 673, 997, 662, 986, 654, 978)(655, 979, 663, 987, 678, 1002, 706, 1030, 680, 1004, 664, 988)(657, 981, 667, 991, 685, 1009, 719, 1043, 687, 1011, 668, 992)(659, 983, 670, 994, 691, 1015, 730, 1054, 693, 1017, 671, 995)(661, 985, 674, 998, 698, 1022, 743, 1067, 700, 1024, 675, 999)(665, 989, 681, 1005, 711, 1035, 762, 1086, 713, 1037, 682, 1006)(669, 993, 688, 1012, 724, 1048, 778, 1102, 726, 1050, 689, 1013)(672, 996, 694, 1018, 735, 1059, 792, 1116, 737, 1061, 695, 1019)(676, 1000, 701, 1025, 748, 1072, 808, 1132, 750, 1074, 702, 1026)(677, 1001, 703, 1027, 751, 1075, 811, 1135, 752, 1076, 704, 1028)(679, 1003, 707, 1031, 756, 1080, 816, 1140, 757, 1081, 708, 1032)(683, 1007, 714, 1038, 766, 1090, 826, 1150, 768, 1092, 715, 1039)(684, 1008, 716, 1040, 769, 1093, 829, 1153, 770, 1094, 717, 1041)(686, 1010, 720, 1044, 773, 1097, 833, 1157, 774, 1098, 721, 1045)(690, 1014, 727, 1051, 781, 1105, 840, 1164, 782, 1106, 728, 1052)(692, 1016, 731, 1055, 786, 1110, 845, 1169, 787, 1111, 732, 1056)(696, 1020, 738, 1062, 796, 1120, 855, 1179, 798, 1122, 739, 1063)(697, 1021, 740, 1064, 799, 1123, 858, 1182, 800, 1124, 741, 1065)(699, 1023, 744, 1068, 803, 1127, 862, 1186, 804, 1128, 745, 1069)(705, 1029, 753, 1077, 813, 1137, 771, 1095, 718, 1042, 754, 1078)(709, 1033, 758, 1082, 818, 1142, 775, 1099, 722, 1046, 759, 1083)(710, 1034, 760, 1084, 819, 1143, 875, 1199, 820, 1144, 761, 1085)(712, 1036, 763, 1087, 822, 1146, 878, 1202, 823, 1147, 764, 1088)(723, 1047, 776, 1100, 835, 1159, 890, 1214, 836, 1160, 777, 1101)(725, 1049, 779, 1103, 838, 1162, 893, 1217, 839, 1163, 780, 1104)(729, 1053, 783, 1107, 842, 1166, 801, 1125, 742, 1066, 784, 1108)(733, 1057, 788, 1112, 847, 1171, 805, 1129, 746, 1070, 789, 1113)(734, 1058, 790, 1114, 848, 1172, 900, 1224, 849, 1173, 791, 1115)(736, 1060, 793, 1117, 851, 1175, 903, 1227, 852, 1176, 794, 1118)(747, 1071, 806, 1130, 864, 1188, 915, 1239, 865, 1189, 807, 1131)(749, 1073, 809, 1133, 867, 1191, 918, 1242, 868, 1192, 810, 1134)(755, 1079, 814, 1138, 871, 1195, 921, 1245, 872, 1196, 815, 1139)(765, 1089, 824, 1148, 879, 1203, 926, 1250, 880, 1204, 825, 1149)(767, 1091, 827, 1151, 882, 1206, 929, 1253, 883, 1207, 828, 1152)(772, 1096, 831, 1155, 886, 1210, 932, 1256, 887, 1211, 832, 1156)(785, 1109, 843, 1167, 896, 1220, 939, 1263, 897, 1221, 844, 1168)(795, 1119, 853, 1177, 904, 1228, 944, 1268, 905, 1229, 854, 1178)(797, 1121, 856, 1180, 907, 1231, 947, 1271, 908, 1232, 857, 1181)(802, 1126, 860, 1184, 911, 1235, 950, 1274, 912, 1236, 861, 1185)(812, 1136, 869, 1193, 919, 1243, 955, 1279, 920, 1244, 870, 1194)(817, 1141, 873, 1197, 922, 1246, 956, 1280, 923, 1247, 874, 1198)(821, 1145, 876, 1200, 924, 1248, 957, 1281, 925, 1249, 877, 1201)(830, 1154, 884, 1208, 930, 1254, 960, 1284, 931, 1255, 885, 1209)(834, 1158, 888, 1212, 933, 1257, 961, 1285, 934, 1258, 889, 1213)(837, 1161, 891, 1215, 935, 1259, 962, 1286, 936, 1260, 892, 1216)(841, 1165, 894, 1218, 937, 1261, 963, 1287, 938, 1262, 895, 1219)(846, 1170, 898, 1222, 940, 1264, 964, 1288, 941, 1265, 899, 1223)(850, 1174, 901, 1225, 942, 1266, 965, 1289, 943, 1267, 902, 1226)(859, 1183, 909, 1233, 948, 1272, 968, 1292, 949, 1273, 910, 1234)(863, 1187, 913, 1237, 951, 1275, 969, 1293, 952, 1276, 914, 1238)(866, 1190, 916, 1240, 953, 1277, 970, 1294, 954, 1278, 917, 1241)(881, 1205, 927, 1251, 958, 1282, 971, 1295, 959, 1283, 928, 1252)(906, 1230, 945, 1269, 966, 1290, 972, 1296, 967, 1291, 946, 1270)
	L = (1, 650)(2, 649)(3, 655)(4, 657)(5, 659)(6, 661)(7, 651)(8, 665)(9, 652)(10, 669)(11, 653)(12, 672)(13, 654)(14, 676)(15, 677)(16, 679)(17, 656)(18, 683)(19, 684)(20, 686)(21, 658)(22, 690)(23, 692)(24, 660)(25, 696)(26, 697)(27, 699)(28, 662)(29, 663)(30, 705)(31, 664)(32, 709)(33, 710)(34, 712)(35, 666)(36, 667)(37, 718)(38, 668)(39, 722)(40, 723)(41, 725)(42, 670)(43, 729)(44, 671)(45, 733)(46, 734)(47, 736)(48, 673)(49, 674)(50, 742)(51, 675)(52, 746)(53, 747)(54, 749)(55, 745)(56, 732)(57, 678)(58, 755)(59, 741)(60, 728)(61, 680)(62, 681)(63, 735)(64, 682)(65, 748)(66, 765)(67, 767)(68, 744)(69, 731)(70, 685)(71, 772)(72, 740)(73, 727)(74, 687)(75, 688)(76, 737)(77, 689)(78, 750)(79, 721)(80, 708)(81, 691)(82, 785)(83, 717)(84, 704)(85, 693)(86, 694)(87, 711)(88, 695)(89, 724)(90, 795)(91, 797)(92, 720)(93, 707)(94, 698)(95, 802)(96, 716)(97, 703)(98, 700)(99, 701)(100, 713)(101, 702)(102, 726)(103, 806)(104, 790)(105, 812)(106, 789)(107, 706)(108, 807)(109, 791)(110, 817)(111, 784)(112, 782)(113, 787)(114, 821)(115, 800)(116, 804)(117, 714)(118, 813)(119, 715)(120, 818)(121, 809)(122, 793)(123, 830)(124, 719)(125, 810)(126, 794)(127, 834)(128, 781)(129, 786)(130, 837)(131, 799)(132, 803)(133, 776)(134, 760)(135, 841)(136, 759)(137, 730)(138, 777)(139, 761)(140, 846)(141, 754)(142, 752)(143, 757)(144, 850)(145, 770)(146, 774)(147, 738)(148, 842)(149, 739)(150, 847)(151, 779)(152, 763)(153, 859)(154, 743)(155, 780)(156, 764)(157, 863)(158, 751)(159, 756)(160, 866)(161, 769)(162, 773)(163, 857)(164, 753)(165, 766)(166, 861)(167, 844)(168, 854)(169, 758)(170, 768)(171, 873)(172, 869)(173, 762)(174, 874)(175, 870)(176, 862)(177, 845)(178, 881)(179, 858)(180, 840)(181, 856)(182, 771)(183, 860)(184, 843)(185, 853)(186, 775)(187, 888)(188, 884)(189, 778)(190, 889)(191, 885)(192, 828)(193, 783)(194, 796)(195, 832)(196, 815)(197, 825)(198, 788)(199, 798)(200, 898)(201, 894)(202, 792)(203, 899)(204, 895)(205, 833)(206, 816)(207, 906)(208, 829)(209, 811)(210, 827)(211, 801)(212, 831)(213, 814)(214, 824)(215, 805)(216, 913)(217, 909)(218, 808)(219, 914)(220, 910)(221, 820)(222, 823)(223, 915)(224, 900)(225, 819)(226, 822)(227, 897)(228, 905)(229, 908)(230, 912)(231, 916)(232, 901)(233, 826)(234, 917)(235, 902)(236, 836)(237, 839)(238, 918)(239, 903)(240, 835)(241, 838)(242, 896)(243, 904)(244, 907)(245, 911)(246, 849)(247, 852)(248, 890)(249, 875)(250, 848)(251, 851)(252, 872)(253, 880)(254, 883)(255, 887)(256, 891)(257, 876)(258, 855)(259, 892)(260, 877)(261, 865)(262, 868)(263, 893)(264, 878)(265, 864)(266, 867)(267, 871)(268, 879)(269, 882)(270, 886)(271, 940)(272, 951)(273, 946)(274, 937)(275, 948)(276, 956)(277, 955)(278, 947)(279, 950)(280, 939)(281, 944)(282, 941)(283, 952)(284, 945)(285, 938)(286, 949)(287, 961)(288, 960)(289, 922)(290, 933)(291, 928)(292, 919)(293, 930)(294, 964)(295, 963)(296, 929)(297, 932)(298, 921)(299, 926)(300, 923)(301, 934)(302, 927)(303, 920)(304, 931)(305, 969)(306, 968)(307, 925)(308, 924)(309, 967)(310, 970)(311, 965)(312, 936)(313, 935)(314, 966)(315, 943)(316, 942)(317, 959)(318, 962)(319, 957)(320, 954)(321, 953)(322, 958)(323, 972)(324, 971)(325, 973)(326, 974)(327, 975)(328, 976)(329, 977)(330, 978)(331, 979)(332, 980)(333, 981)(334, 982)(335, 983)(336, 984)(337, 985)(338, 986)(339, 987)(340, 988)(341, 989)(342, 990)(343, 991)(344, 992)(345, 993)(346, 994)(347, 995)(348, 996)(349, 997)(350, 998)(351, 999)(352, 1000)(353, 1001)(354, 1002)(355, 1003)(356, 1004)(357, 1005)(358, 1006)(359, 1007)(360, 1008)(361, 1009)(362, 1010)(363, 1011)(364, 1012)(365, 1013)(366, 1014)(367, 1015)(368, 1016)(369, 1017)(370, 1018)(371, 1019)(372, 1020)(373, 1021)(374, 1022)(375, 1023)(376, 1024)(377, 1025)(378, 1026)(379, 1027)(380, 1028)(381, 1029)(382, 1030)(383, 1031)(384, 1032)(385, 1033)(386, 1034)(387, 1035)(388, 1036)(389, 1037)(390, 1038)(391, 1039)(392, 1040)(393, 1041)(394, 1042)(395, 1043)(396, 1044)(397, 1045)(398, 1046)(399, 1047)(400, 1048)(401, 1049)(402, 1050)(403, 1051)(404, 1052)(405, 1053)(406, 1054)(407, 1055)(408, 1056)(409, 1057)(410, 1058)(411, 1059)(412, 1060)(413, 1061)(414, 1062)(415, 1063)(416, 1064)(417, 1065)(418, 1066)(419, 1067)(420, 1068)(421, 1069)(422, 1070)(423, 1071)(424, 1072)(425, 1073)(426, 1074)(427, 1075)(428, 1076)(429, 1077)(430, 1078)(431, 1079)(432, 1080)(433, 1081)(434, 1082)(435, 1083)(436, 1084)(437, 1085)(438, 1086)(439, 1087)(440, 1088)(441, 1089)(442, 1090)(443, 1091)(444, 1092)(445, 1093)(446, 1094)(447, 1095)(448, 1096)(449, 1097)(450, 1098)(451, 1099)(452, 1100)(453, 1101)(454, 1102)(455, 1103)(456, 1104)(457, 1105)(458, 1106)(459, 1107)(460, 1108)(461, 1109)(462, 1110)(463, 1111)(464, 1112)(465, 1113)(466, 1114)(467, 1115)(468, 1116)(469, 1117)(470, 1118)(471, 1119)(472, 1120)(473, 1121)(474, 1122)(475, 1123)(476, 1124)(477, 1125)(478, 1126)(479, 1127)(480, 1128)(481, 1129)(482, 1130)(483, 1131)(484, 1132)(485, 1133)(486, 1134)(487, 1135)(488, 1136)(489, 1137)(490, 1138)(491, 1139)(492, 1140)(493, 1141)(494, 1142)(495, 1143)(496, 1144)(497, 1145)(498, 1146)(499, 1147)(500, 1148)(501, 1149)(502, 1150)(503, 1151)(504, 1152)(505, 1153)(506, 1154)(507, 1155)(508, 1156)(509, 1157)(510, 1158)(511, 1159)(512, 1160)(513, 1161)(514, 1162)(515, 1163)(516, 1164)(517, 1165)(518, 1166)(519, 1167)(520, 1168)(521, 1169)(522, 1170)(523, 1171)(524, 1172)(525, 1173)(526, 1174)(527, 1175)(528, 1176)(529, 1177)(530, 1178)(531, 1179)(532, 1180)(533, 1181)(534, 1182)(535, 1183)(536, 1184)(537, 1185)(538, 1186)(539, 1187)(540, 1188)(541, 1189)(542, 1190)(543, 1191)(544, 1192)(545, 1193)(546, 1194)(547, 1195)(548, 1196)(549, 1197)(550, 1198)(551, 1199)(552, 1200)(553, 1201)(554, 1202)(555, 1203)(556, 1204)(557, 1205)(558, 1206)(559, 1207)(560, 1208)(561, 1209)(562, 1210)(563, 1211)(564, 1212)(565, 1213)(566, 1214)(567, 1215)(568, 1216)(569, 1217)(570, 1218)(571, 1219)(572, 1220)(573, 1221)(574, 1222)(575, 1223)(576, 1224)(577, 1225)(578, 1226)(579, 1227)(580, 1228)(581, 1229)(582, 1230)(583, 1231)(584, 1232)(585, 1233)(586, 1234)(587, 1235)(588, 1236)(589, 1237)(590, 1238)(591, 1239)(592, 1240)(593, 1241)(594, 1242)(595, 1243)(596, 1244)(597, 1245)(598, 1246)(599, 1247)(600, 1248)(601, 1249)(602, 1250)(603, 1251)(604, 1252)(605, 1253)(606, 1254)(607, 1255)(608, 1256)(609, 1257)(610, 1258)(611, 1259)(612, 1260)(613, 1261)(614, 1262)(615, 1263)(616, 1264)(617, 1265)(618, 1266)(619, 1267)(620, 1268)(621, 1269)(622, 1270)(623, 1271)(624, 1272)(625, 1273)(626, 1274)(627, 1275)(628, 1276)(629, 1277)(630, 1278)(631, 1279)(632, 1280)(633, 1281)(634, 1282)(635, 1283)(636, 1284)(637, 1285)(638, 1286)(639, 1287)(640, 1288)(641, 1289)(642, 1290)(643, 1291)(644, 1292)(645, 1293)(646, 1294)(647, 1295)(648, 1296)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3222
Graph:: bipartite
	v = 216 e = 648 f = 378
	degree seq :: [ 4^162, 12^54 ]

E28.3219 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
Aut   = $<648, 299>$ (small group id <648, 299>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^6, (Y1 * Y2^-2 * Y1 * Y2)^2, (Y3 * Y2^-1)^6, (Y2 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1)^2, Y2 * Y1 * Y2^2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1, Y2^-2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^3 * Y1 * Y2 * Y1 * Y2^-1 ]
Map::
	R = (1, 325, 2, 326)(3, 327, 7, 331)(4, 328, 9, 333)(5, 329, 11, 335)(6, 330, 13, 337)(8, 332, 17, 341)(10, 334, 21, 345)(12, 336, 24, 348)(14, 338, 28, 352)(15, 339, 29, 353)(16, 340, 31, 355)(18, 342, 35, 359)(19, 343, 36, 360)(20, 344, 38, 362)(22, 346, 42, 366)(23, 347, 44, 368)(25, 349, 48, 372)(26, 350, 49, 373)(27, 351, 51, 375)(30, 354, 57, 381)(32, 356, 47, 371)(33, 357, 61, 385)(34, 358, 45, 369)(37, 361, 53, 377)(39, 363, 70, 394)(40, 364, 50, 374)(41, 365, 72, 396)(43, 367, 76, 400)(46, 370, 80, 404)(52, 376, 89, 413)(54, 378, 91, 415)(55, 379, 88, 412)(56, 380, 94, 418)(58, 382, 98, 422)(59, 383, 99, 423)(60, 384, 100, 424)(62, 386, 104, 428)(63, 387, 97, 421)(64, 388, 106, 430)(65, 389, 95, 419)(66, 390, 109, 433)(67, 391, 110, 434)(68, 392, 111, 435)(69, 393, 74, 398)(71, 395, 113, 437)(73, 397, 117, 441)(75, 399, 119, 443)(77, 401, 123, 447)(78, 402, 124, 448)(79, 403, 125, 449)(81, 405, 129, 453)(82, 406, 122, 446)(83, 407, 131, 455)(84, 408, 120, 444)(85, 409, 134, 458)(86, 410, 135, 459)(87, 411, 136, 460)(90, 414, 138, 462)(92, 416, 142, 466)(93, 417, 143, 467)(96, 420, 121, 445)(101, 425, 128, 452)(102, 426, 153, 477)(103, 427, 126, 450)(105, 429, 157, 481)(107, 431, 159, 483)(108, 432, 156, 480)(112, 436, 165, 489)(114, 438, 139, 463)(115, 439, 168, 492)(116, 440, 161, 485)(118, 442, 170, 494)(127, 451, 180, 504)(130, 454, 184, 508)(132, 456, 186, 510)(133, 457, 183, 507)(137, 461, 192, 516)(140, 464, 195, 519)(141, 465, 188, 512)(144, 468, 190, 514)(145, 469, 199, 523)(146, 470, 200, 524)(147, 471, 201, 525)(148, 472, 198, 522)(149, 473, 203, 527)(150, 474, 185, 509)(151, 475, 206, 530)(152, 476, 207, 531)(154, 478, 209, 533)(155, 479, 197, 521)(158, 482, 177, 501)(160, 484, 215, 539)(162, 486, 217, 541)(163, 487, 171, 495)(164, 488, 218, 542)(166, 490, 221, 545)(167, 491, 224, 548)(169, 493, 222, 546)(172, 496, 230, 554)(173, 497, 231, 555)(174, 498, 232, 556)(175, 499, 229, 553)(176, 500, 234, 558)(178, 502, 237, 561)(179, 503, 238, 562)(181, 505, 240, 564)(182, 506, 228, 552)(187, 511, 246, 570)(189, 513, 248, 572)(191, 515, 249, 573)(193, 517, 252, 576)(194, 518, 255, 579)(196, 520, 253, 577)(202, 526, 261, 585)(204, 528, 243, 567)(205, 529, 260, 584)(208, 532, 239, 563)(210, 534, 258, 582)(211, 535, 266, 590)(212, 536, 235, 559)(213, 537, 262, 586)(214, 538, 265, 589)(216, 540, 247, 571)(219, 543, 274, 598)(220, 544, 257, 581)(223, 547, 276, 600)(225, 549, 273, 597)(226, 550, 251, 575)(227, 551, 241, 565)(233, 557, 281, 605)(236, 560, 280, 604)(242, 566, 286, 610)(244, 568, 282, 606)(245, 569, 285, 609)(250, 574, 294, 618)(254, 578, 296, 620)(256, 580, 293, 617)(259, 583, 299, 623)(263, 587, 292, 616)(264, 588, 303, 627)(267, 591, 297, 621)(268, 592, 301, 625)(269, 593, 290, 614)(270, 594, 289, 613)(271, 595, 295, 619)(272, 596, 283, 607)(275, 599, 291, 615)(277, 601, 287, 611)(278, 602, 307, 631)(279, 603, 309, 633)(284, 608, 313, 637)(288, 612, 311, 635)(298, 622, 317, 641)(300, 624, 312, 636)(302, 626, 310, 634)(304, 628, 316, 640)(305, 629, 318, 642)(306, 630, 314, 638)(308, 632, 315, 639)(319, 643, 323, 647)(320, 644, 322, 646)(321, 645, 324, 648)(649, 973, 651, 975, 656, 980, 666, 990, 658, 982, 652, 976)(650, 974, 653, 977, 660, 984, 673, 997, 662, 986, 654, 978)(655, 979, 663, 987, 678, 1002, 706, 1030, 680, 1004, 664, 988)(657, 981, 667, 991, 685, 1009, 715, 1039, 687, 1011, 668, 992)(659, 983, 670, 994, 691, 1015, 725, 1049, 693, 1017, 671, 995)(661, 985, 674, 998, 698, 1022, 734, 1058, 700, 1024, 675, 999)(665, 989, 681, 1005, 710, 1034, 753, 1077, 711, 1035, 682, 1006)(669, 993, 688, 1012, 719, 1043, 763, 1087, 721, 1045, 689, 1013)(672, 996, 694, 1018, 729, 1053, 778, 1102, 730, 1054, 695, 1019)(676, 1000, 701, 1025, 738, 1062, 788, 1112, 740, 1064, 702, 1026)(677, 1001, 703, 1027, 741, 1065, 792, 1116, 743, 1067, 704, 1028)(679, 1003, 707, 1031, 684, 1008, 714, 1038, 749, 1073, 708, 1032)(683, 1007, 712, 1036, 755, 1079, 808, 1132, 756, 1080, 713, 1037)(686, 1010, 716, 1040, 754, 1078, 806, 1130, 760, 1084, 717, 1041)(690, 1014, 722, 1046, 766, 1090, 819, 1143, 768, 1092, 723, 1047)(692, 1016, 726, 1050, 697, 1021, 733, 1057, 774, 1098, 727, 1051)(696, 1020, 731, 1055, 780, 1104, 835, 1159, 781, 1105, 732, 1056)(699, 1023, 735, 1059, 779, 1103, 833, 1157, 785, 1109, 736, 1060)(705, 1029, 744, 1068, 795, 1119, 850, 1174, 796, 1120, 745, 1069)(709, 1033, 750, 1074, 802, 1126, 764, 1088, 720, 1044, 751, 1075)(718, 1042, 761, 1085, 814, 1138, 871, 1195, 815, 1139, 762, 1086)(724, 1048, 769, 1093, 822, 1146, 881, 1205, 823, 1147, 770, 1094)(728, 1052, 775, 1099, 829, 1153, 789, 1113, 739, 1063, 776, 1100)(737, 1061, 786, 1110, 841, 1165, 902, 1226, 842, 1166, 787, 1111)(742, 1066, 793, 1117, 747, 1071, 799, 1123, 759, 1083, 794, 1118)(746, 1070, 797, 1121, 852, 1176, 911, 1235, 853, 1177, 798, 1122)(748, 1072, 800, 1124, 851, 1175, 910, 1234, 856, 1180, 801, 1125)(752, 1076, 803, 1127, 858, 1182, 915, 1239, 859, 1183, 804, 1128)(757, 1081, 809, 1133, 864, 1188, 921, 1245, 866, 1190, 810, 1134)(758, 1082, 811, 1135, 867, 1191, 923, 1247, 868, 1192, 812, 1136)(765, 1089, 807, 1131, 862, 1186, 918, 1242, 875, 1199, 817, 1141)(767, 1091, 820, 1144, 772, 1096, 826, 1150, 784, 1108, 821, 1145)(771, 1095, 824, 1148, 883, 1207, 931, 1255, 884, 1208, 825, 1149)(773, 1097, 827, 1151, 882, 1206, 930, 1254, 887, 1211, 828, 1152)(777, 1101, 830, 1154, 889, 1213, 935, 1259, 890, 1214, 831, 1155)(782, 1106, 836, 1160, 895, 1219, 941, 1265, 897, 1221, 837, 1161)(783, 1107, 838, 1162, 898, 1222, 943, 1267, 899, 1223, 839, 1163)(790, 1114, 834, 1158, 893, 1217, 938, 1262, 906, 1230, 844, 1168)(791, 1115, 845, 1169, 896, 1220, 932, 1256, 885, 1209, 846, 1170)(805, 1129, 860, 1184, 916, 1240, 952, 1276, 917, 1241, 861, 1185)(813, 1137, 869, 1193, 878, 1202, 927, 1251, 886, 1210, 870, 1194)(816, 1140, 873, 1197, 925, 1249, 956, 1280, 926, 1250, 874, 1198)(818, 1142, 876, 1200, 865, 1189, 912, 1236, 854, 1178, 877, 1201)(832, 1156, 891, 1215, 936, 1260, 962, 1286, 937, 1261, 892, 1216)(840, 1164, 900, 1224, 847, 1171, 907, 1231, 855, 1179, 901, 1225)(843, 1167, 904, 1228, 945, 1269, 966, 1290, 946, 1270, 905, 1229)(848, 1172, 903, 1227, 942, 1266, 958, 1282, 928, 1252, 880, 1204)(849, 1173, 879, 1203, 872, 1196, 922, 1246, 948, 1272, 908, 1232)(857, 1181, 913, 1237, 951, 1275, 967, 1291, 947, 1271, 914, 1238)(863, 1187, 919, 1243, 953, 1277, 969, 1293, 954, 1278, 920, 1244)(888, 1212, 933, 1257, 961, 1285, 970, 1294, 957, 1281, 934, 1258)(894, 1218, 939, 1263, 963, 1287, 972, 1296, 964, 1288, 940, 1264)(909, 1233, 949, 1273, 968, 1292, 955, 1279, 924, 1248, 950, 1274)(929, 1253, 959, 1283, 971, 1295, 965, 1289, 944, 1268, 960, 1284)
	L = (1, 650)(2, 649)(3, 655)(4, 657)(5, 659)(6, 661)(7, 651)(8, 665)(9, 652)(10, 669)(11, 653)(12, 672)(13, 654)(14, 676)(15, 677)(16, 679)(17, 656)(18, 683)(19, 684)(20, 686)(21, 658)(22, 690)(23, 692)(24, 660)(25, 696)(26, 697)(27, 699)(28, 662)(29, 663)(30, 705)(31, 664)(32, 695)(33, 709)(34, 693)(35, 666)(36, 667)(37, 701)(38, 668)(39, 718)(40, 698)(41, 720)(42, 670)(43, 724)(44, 671)(45, 682)(46, 728)(47, 680)(48, 673)(49, 674)(50, 688)(51, 675)(52, 737)(53, 685)(54, 739)(55, 736)(56, 742)(57, 678)(58, 746)(59, 747)(60, 748)(61, 681)(62, 752)(63, 745)(64, 754)(65, 743)(66, 757)(67, 758)(68, 759)(69, 722)(70, 687)(71, 761)(72, 689)(73, 765)(74, 717)(75, 767)(76, 691)(77, 771)(78, 772)(79, 773)(80, 694)(81, 777)(82, 770)(83, 779)(84, 768)(85, 782)(86, 783)(87, 784)(88, 703)(89, 700)(90, 786)(91, 702)(92, 790)(93, 791)(94, 704)(95, 713)(96, 769)(97, 711)(98, 706)(99, 707)(100, 708)(101, 776)(102, 801)(103, 774)(104, 710)(105, 805)(106, 712)(107, 807)(108, 804)(109, 714)(110, 715)(111, 716)(112, 813)(113, 719)(114, 787)(115, 816)(116, 809)(117, 721)(118, 818)(119, 723)(120, 732)(121, 744)(122, 730)(123, 725)(124, 726)(125, 727)(126, 751)(127, 828)(128, 749)(129, 729)(130, 832)(131, 731)(132, 834)(133, 831)(134, 733)(135, 734)(136, 735)(137, 840)(138, 738)(139, 762)(140, 843)(141, 836)(142, 740)(143, 741)(144, 838)(145, 847)(146, 848)(147, 849)(148, 846)(149, 851)(150, 833)(151, 854)(152, 855)(153, 750)(154, 857)(155, 845)(156, 756)(157, 753)(158, 825)(159, 755)(160, 863)(161, 764)(162, 865)(163, 819)(164, 866)(165, 760)(166, 869)(167, 872)(168, 763)(169, 870)(170, 766)(171, 811)(172, 878)(173, 879)(174, 880)(175, 877)(176, 882)(177, 806)(178, 885)(179, 886)(180, 775)(181, 888)(182, 876)(183, 781)(184, 778)(185, 798)(186, 780)(187, 894)(188, 789)(189, 896)(190, 792)(191, 897)(192, 785)(193, 900)(194, 903)(195, 788)(196, 901)(197, 803)(198, 796)(199, 793)(200, 794)(201, 795)(202, 909)(203, 797)(204, 891)(205, 908)(206, 799)(207, 800)(208, 887)(209, 802)(210, 906)(211, 914)(212, 883)(213, 910)(214, 913)(215, 808)(216, 895)(217, 810)(218, 812)(219, 922)(220, 905)(221, 814)(222, 817)(223, 924)(224, 815)(225, 921)(226, 899)(227, 889)(228, 830)(229, 823)(230, 820)(231, 821)(232, 822)(233, 929)(234, 824)(235, 860)(236, 928)(237, 826)(238, 827)(239, 856)(240, 829)(241, 875)(242, 934)(243, 852)(244, 930)(245, 933)(246, 835)(247, 864)(248, 837)(249, 839)(250, 942)(251, 874)(252, 841)(253, 844)(254, 944)(255, 842)(256, 941)(257, 868)(258, 858)(259, 947)(260, 853)(261, 850)(262, 861)(263, 940)(264, 951)(265, 862)(266, 859)(267, 945)(268, 949)(269, 938)(270, 937)(271, 943)(272, 931)(273, 873)(274, 867)(275, 939)(276, 871)(277, 935)(278, 955)(279, 957)(280, 884)(281, 881)(282, 892)(283, 920)(284, 961)(285, 893)(286, 890)(287, 925)(288, 959)(289, 918)(290, 917)(291, 923)(292, 911)(293, 904)(294, 898)(295, 919)(296, 902)(297, 915)(298, 965)(299, 907)(300, 960)(301, 916)(302, 958)(303, 912)(304, 964)(305, 966)(306, 962)(307, 926)(308, 963)(309, 927)(310, 950)(311, 936)(312, 948)(313, 932)(314, 954)(315, 956)(316, 952)(317, 946)(318, 953)(319, 971)(320, 970)(321, 972)(322, 968)(323, 967)(324, 969)(325, 973)(326, 974)(327, 975)(328, 976)(329, 977)(330, 978)(331, 979)(332, 980)(333, 981)(334, 982)(335, 983)(336, 984)(337, 985)(338, 986)(339, 987)(340, 988)(341, 989)(342, 990)(343, 991)(344, 992)(345, 993)(346, 994)(347, 995)(348, 996)(349, 997)(350, 998)(351, 999)(352, 1000)(353, 1001)(354, 1002)(355, 1003)(356, 1004)(357, 1005)(358, 1006)(359, 1007)(360, 1008)(361, 1009)(362, 1010)(363, 1011)(364, 1012)(365, 1013)(366, 1014)(367, 1015)(368, 1016)(369, 1017)(370, 1018)(371, 1019)(372, 1020)(373, 1021)(374, 1022)(375, 1023)(376, 1024)(377, 1025)(378, 1026)(379, 1027)(380, 1028)(381, 1029)(382, 1030)(383, 1031)(384, 1032)(385, 1033)(386, 1034)(387, 1035)(388, 1036)(389, 1037)(390, 1038)(391, 1039)(392, 1040)(393, 1041)(394, 1042)(395, 1043)(396, 1044)(397, 1045)(398, 1046)(399, 1047)(400, 1048)(401, 1049)(402, 1050)(403, 1051)(404, 1052)(405, 1053)(406, 1054)(407, 1055)(408, 1056)(409, 1057)(410, 1058)(411, 1059)(412, 1060)(413, 1061)(414, 1062)(415, 1063)(416, 1064)(417, 1065)(418, 1066)(419, 1067)(420, 1068)(421, 1069)(422, 1070)(423, 1071)(424, 1072)(425, 1073)(426, 1074)(427, 1075)(428, 1076)(429, 1077)(430, 1078)(431, 1079)(432, 1080)(433, 1081)(434, 1082)(435, 1083)(436, 1084)(437, 1085)(438, 1086)(439, 1087)(440, 1088)(441, 1089)(442, 1090)(443, 1091)(444, 1092)(445, 1093)(446, 1094)(447, 1095)(448, 1096)(449, 1097)(450, 1098)(451, 1099)(452, 1100)(453, 1101)(454, 1102)(455, 1103)(456, 1104)(457, 1105)(458, 1106)(459, 1107)(460, 1108)(461, 1109)(462, 1110)(463, 1111)(464, 1112)(465, 1113)(466, 1114)(467, 1115)(468, 1116)(469, 1117)(470, 1118)(471, 1119)(472, 1120)(473, 1121)(474, 1122)(475, 1123)(476, 1124)(477, 1125)(478, 1126)(479, 1127)(480, 1128)(481, 1129)(482, 1130)(483, 1131)(484, 1132)(485, 1133)(486, 1134)(487, 1135)(488, 1136)(489, 1137)(490, 1138)(491, 1139)(492, 1140)(493, 1141)(494, 1142)(495, 1143)(496, 1144)(497, 1145)(498, 1146)(499, 1147)(500, 1148)(501, 1149)(502, 1150)(503, 1151)(504, 1152)(505, 1153)(506, 1154)(507, 1155)(508, 1156)(509, 1157)(510, 1158)(511, 1159)(512, 1160)(513, 1161)(514, 1162)(515, 1163)(516, 1164)(517, 1165)(518, 1166)(519, 1167)(520, 1168)(521, 1169)(522, 1170)(523, 1171)(524, 1172)(525, 1173)(526, 1174)(527, 1175)(528, 1176)(529, 1177)(530, 1178)(531, 1179)(532, 1180)(533, 1181)(534, 1182)(535, 1183)(536, 1184)(537, 1185)(538, 1186)(539, 1187)(540, 1188)(541, 1189)(542, 1190)(543, 1191)(544, 1192)(545, 1193)(546, 1194)(547, 1195)(548, 1196)(549, 1197)(550, 1198)(551, 1199)(552, 1200)(553, 1201)(554, 1202)(555, 1203)(556, 1204)(557, 1205)(558, 1206)(559, 1207)(560, 1208)(561, 1209)(562, 1210)(563, 1211)(564, 1212)(565, 1213)(566, 1214)(567, 1215)(568, 1216)(569, 1217)(570, 1218)(571, 1219)(572, 1220)(573, 1221)(574, 1222)(575, 1223)(576, 1224)(577, 1225)(578, 1226)(579, 1227)(580, 1228)(581, 1229)(582, 1230)(583, 1231)(584, 1232)(585, 1233)(586, 1234)(587, 1235)(588, 1236)(589, 1237)(590, 1238)(591, 1239)(592, 1240)(593, 1241)(594, 1242)(595, 1243)(596, 1244)(597, 1245)(598, 1246)(599, 1247)(600, 1248)(601, 1249)(602, 1250)(603, 1251)(604, 1252)(605, 1253)(606, 1254)(607, 1255)(608, 1256)(609, 1257)(610, 1258)(611, 1259)(612, 1260)(613, 1261)(614, 1262)(615, 1263)(616, 1264)(617, 1265)(618, 1266)(619, 1267)(620, 1268)(621, 1269)(622, 1270)(623, 1271)(624, 1272)(625, 1273)(626, 1274)(627, 1275)(628, 1276)(629, 1277)(630, 1278)(631, 1279)(632, 1280)(633, 1281)(634, 1282)(635, 1283)(636, 1284)(637, 1285)(638, 1286)(639, 1287)(640, 1288)(641, 1289)(642, 1290)(643, 1291)(644, 1292)(645, 1293)(646, 1294)(647, 1295)(648, 1296)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3223
Graph:: bipartite
	v = 216 e = 648 f = 378
	degree seq :: [ 4^162, 12^54 ]

E28.3220 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
Aut   = $<648, 299>$ (small group id <648, 299>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y1^-1 * Y2^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y2^6, Y1^6, Y2 * Y1^-2 * Y2^-2 * Y1^3 * Y2^-1 * Y1, Y2 * Y1^-1 * Y2^-2 * Y1 * Y2^-2 * Y1^-1 * Y2 * Y1^-1, (Y1^-1 * Y2^-1 * Y1 * Y2^-3 * Y1^-1)^2, Y1^-1 * Y2^3 * Y1^2 * Y2 * Y1^-1 * Y2^2 * Y1^-1 * Y2^-2 * Y1^-1 ]
Map::
	R = (1, 325, 2, 326, 6, 330, 16, 340, 13, 337, 4, 328)(3, 327, 9, 333, 23, 347, 53, 377, 29, 353, 11, 335)(5, 329, 14, 338, 34, 358, 48, 372, 20, 344, 7, 331)(8, 332, 21, 345, 49, 373, 92, 416, 41, 365, 17, 341)(10, 334, 25, 349, 58, 382, 87, 411, 63, 387, 27, 351)(12, 336, 30, 354, 68, 392, 133, 457, 73, 397, 32, 356)(15, 339, 37, 361, 82, 406, 84, 408, 79, 403, 35, 359)(18, 342, 42, 366, 93, 417, 157, 481, 85, 409, 38, 362)(19, 343, 44, 368, 97, 421, 69, 393, 102, 426, 46, 370)(22, 346, 52, 376, 113, 437, 74, 398, 110, 434, 50, 374)(24, 348, 56, 380, 90, 414, 40, 364, 88, 412, 54, 378)(26, 350, 60, 384, 124, 448, 184, 508, 127, 451, 61, 385)(28, 352, 64, 388, 132, 456, 209, 533, 136, 460, 66, 390)(31, 355, 70, 394, 94, 418, 43, 367, 96, 420, 71, 395)(33, 357, 39, 363, 86, 410, 158, 482, 145, 469, 75, 399)(36, 360, 80, 404, 150, 474, 165, 489, 91, 415, 76, 400)(45, 369, 99, 423, 175, 499, 147, 471, 178, 502, 100, 424)(47, 371, 103, 427, 55, 379, 117, 441, 183, 507, 105, 429)(51, 375, 111, 435, 190, 514, 236, 560, 156, 480, 107, 431)(57, 381, 121, 445, 201, 525, 137, 461, 200, 524, 119, 443)(59, 383, 109, 433, 188, 512, 116, 440, 160, 484, 122, 446)(62, 386, 128, 452, 208, 532, 282, 606, 212, 536, 130, 454)(65, 389, 101, 425, 179, 503, 118, 442, 198, 522, 134, 458)(67, 391, 115, 439, 195, 519, 275, 599, 220, 544, 138, 462)(72, 396, 142, 466, 159, 483, 239, 563, 210, 534, 129, 453)(77, 401, 146, 470, 226, 550, 265, 589, 185, 509, 106, 430)(78, 402, 148, 472, 173, 497, 98, 422, 169, 493, 140, 464)(81, 405, 152, 476, 181, 505, 104, 428, 163, 487, 120, 444)(83, 407, 112, 436, 192, 516, 246, 570, 164, 488, 153, 477)(89, 413, 161, 485, 242, 566, 187, 511, 245, 569, 162, 486)(95, 419, 170, 494, 252, 576, 221, 545, 144, 468, 167, 491)(108, 432, 186, 510, 266, 590, 305, 629, 248, 572, 166, 490)(114, 438, 171, 495, 254, 578, 296, 620, 235, 559, 193, 517)(123, 447, 204, 528, 274, 598, 213, 537, 269, 593, 189, 513)(125, 449, 199, 523, 279, 603, 203, 527, 241, 565, 205, 529)(126, 450, 207, 531, 255, 579, 228, 552, 257, 581, 176, 500)(131, 455, 155, 479, 154, 478, 233, 557, 250, 574, 214, 538)(135, 459, 217, 541, 276, 600, 304, 628, 270, 594, 191, 515)(139, 463, 194, 518, 273, 597, 223, 547, 260, 584, 180, 504)(141, 465, 172, 496, 240, 564, 301, 625, 293, 617, 222, 546)(143, 467, 215, 539, 280, 604, 318, 642, 290, 614, 224, 548)(149, 473, 211, 535, 285, 609, 234, 558, 244, 568, 229, 553)(151, 475, 206, 530, 281, 605, 312, 636, 264, 588, 230, 554)(168, 492, 249, 573, 306, 630, 320, 644, 298, 622, 237, 561)(174, 498, 256, 580, 202, 526, 259, 583, 308, 632, 251, 575)(177, 501, 258, 582, 196, 520, 268, 592, 302, 626, 243, 567)(182, 506, 262, 586, 227, 551, 294, 618, 309, 633, 253, 577)(197, 521, 277, 601, 310, 634, 288, 612, 219, 543, 263, 587)(216, 540, 278, 602, 303, 627, 272, 596, 316, 640, 289, 613)(218, 542, 283, 607, 297, 621, 271, 595, 307, 631, 291, 615)(225, 549, 238, 562, 299, 623, 321, 645, 319, 643, 287, 611)(231, 555, 267, 591, 315, 639, 284, 608, 300, 624, 247, 571)(232, 556, 295, 619, 311, 635, 286, 610, 313, 637, 261, 585)(292, 616, 317, 641, 323, 647, 324, 648, 322, 646, 314, 638)(649, 973, 651, 975, 658, 982, 674, 998, 663, 987, 653, 977)(650, 974, 655, 979, 667, 991, 693, 1017, 670, 994, 656, 980)(652, 976, 660, 984, 679, 1003, 705, 1029, 672, 996, 657, 981)(654, 978, 665, 989, 688, 1012, 737, 1061, 691, 1015, 666, 990)(659, 983, 676, 1000, 713, 1037, 771, 1095, 707, 1031, 673, 997)(661, 985, 681, 1005, 722, 1046, 787, 1111, 717, 1041, 678, 1002)(662, 986, 683, 1007, 726, 1050, 797, 1121, 729, 1053, 684, 1008)(664, 988, 686, 1010, 732, 1056, 803, 1127, 735, 1059, 687, 1011)(668, 992, 695, 1019, 752, 1076, 822, 1146, 746, 1070, 692, 1016)(669, 993, 698, 1022, 757, 1081, 837, 1161, 760, 1084, 699, 1023)(671, 995, 702, 1026, 764, 1088, 844, 1168, 766, 1090, 703, 1027)(675, 999, 710, 1034, 777, 1101, 854, 1178, 773, 1097, 708, 1032)(677, 1001, 715, 1039, 785, 1109, 863, 1187, 781, 1105, 712, 1036)(680, 1004, 720, 1044, 778, 1102, 859, 1183, 788, 1112, 718, 1042)(682, 1006, 724, 1048, 740, 1064, 814, 1138, 795, 1119, 725, 1049)(685, 1009, 709, 1033, 774, 1098, 839, 1163, 759, 1083, 731, 1055)(689, 1013, 739, 1063, 812, 1136, 889, 1213, 808, 1132, 736, 1060)(690, 1014, 742, 1066, 817, 1141, 899, 1223, 819, 1143, 743, 1067)(694, 1018, 749, 1073, 714, 1038, 783, 1107, 824, 1148, 747, 1071)(696, 1020, 754, 1078, 832, 1156, 763, 1087, 701, 1025, 751, 1075)(697, 1021, 755, 1079, 805, 1129, 885, 1209, 835, 1159, 756, 1080)(700, 1024, 748, 1072, 825, 1149, 901, 1225, 818, 1142, 762, 1086)(704, 1028, 767, 1091, 847, 1171, 799, 1123, 728, 1052, 768, 1092)(706, 1030, 770, 1094, 851, 1175, 888, 1212, 807, 1131, 734, 1058)(711, 1035, 779, 1103, 861, 1185, 931, 1255, 857, 1181, 776, 1100)(716, 1040, 745, 1069, 821, 1145, 903, 1227, 856, 1180, 780, 1104)(719, 1043, 789, 1113, 869, 1193, 925, 1249, 850, 1174, 769, 1093)(721, 1045, 791, 1115, 871, 1195, 886, 1210, 806, 1130, 790, 1114)(723, 1047, 792, 1116, 870, 1194, 916, 1240, 836, 1160, 758, 1082)(727, 1051, 733, 1057, 804, 1128, 883, 1207, 876, 1200, 796, 1120)(730, 1054, 801, 1125, 813, 1137, 895, 1219, 882, 1206, 802, 1126)(738, 1062, 811, 1135, 753, 1077, 830, 1154, 891, 1215, 809, 1133)(741, 1065, 815, 1139, 793, 1117, 873, 1197, 898, 1222, 816, 1140)(744, 1068, 810, 1134, 892, 1216, 948, 1272, 887, 1211, 820, 1144)(750, 1074, 828, 1152, 907, 1231, 845, 1169, 765, 1089, 827, 1151)(761, 1085, 841, 1165, 884, 1208, 945, 1269, 922, 1246, 842, 1166)(772, 1096, 853, 1177, 894, 1218, 951, 1275, 924, 1248, 843, 1167)(775, 1099, 833, 1157, 912, 1236, 961, 1285, 930, 1254, 855, 1179)(782, 1106, 864, 1188, 936, 1260, 947, 1271, 921, 1245, 852, 1176)(784, 1108, 866, 1190, 938, 1262, 965, 1289, 923, 1247, 865, 1189)(786, 1110, 867, 1191, 937, 1261, 949, 1273, 927, 1251, 848, 1172)(794, 1118, 823, 1147, 905, 1229, 944, 1268, 943, 1267, 875, 1199)(798, 1122, 878, 1202, 913, 1237, 962, 1286, 914, 1238, 879, 1203)(800, 1124, 877, 1201, 893, 1217, 946, 1270, 942, 1266, 880, 1204)(826, 1150, 896, 1220, 952, 1276, 926, 1250, 846, 1170, 906, 1230)(829, 1153, 909, 1233, 960, 1284, 928, 1252, 849, 1173, 904, 1228)(831, 1155, 911, 1235, 868, 1192, 940, 1264, 874, 1198, 910, 1234)(834, 1158, 890, 1214, 950, 1274, 941, 1265, 964, 1288, 915, 1239)(838, 1162, 918, 1242, 953, 1277, 970, 1294, 954, 1278, 919, 1243)(840, 1164, 917, 1241, 862, 1186, 935, 1259, 963, 1287, 920, 1244)(858, 1182, 932, 1256, 967, 1291, 971, 1295, 966, 1290, 929, 1253)(860, 1184, 934, 1258, 955, 1279, 897, 1221, 881, 1205, 933, 1257)(872, 1196, 939, 1263, 959, 1283, 902, 1226, 956, 1280, 908, 1232)(900, 1224, 957, 1281, 968, 1292, 972, 1296, 969, 1293, 958, 1282)
	L = (1, 651)(2, 655)(3, 658)(4, 660)(5, 649)(6, 665)(7, 667)(8, 650)(9, 652)(10, 674)(11, 676)(12, 679)(13, 681)(14, 683)(15, 653)(16, 686)(17, 688)(18, 654)(19, 693)(20, 695)(21, 698)(22, 656)(23, 702)(24, 657)(25, 659)(26, 663)(27, 710)(28, 713)(29, 715)(30, 661)(31, 705)(32, 720)(33, 722)(34, 724)(35, 726)(36, 662)(37, 709)(38, 732)(39, 664)(40, 737)(41, 739)(42, 742)(43, 666)(44, 668)(45, 670)(46, 749)(47, 752)(48, 754)(49, 755)(50, 757)(51, 669)(52, 748)(53, 751)(54, 764)(55, 671)(56, 767)(57, 672)(58, 770)(59, 673)(60, 675)(61, 774)(62, 777)(63, 779)(64, 677)(65, 771)(66, 783)(67, 785)(68, 745)(69, 678)(70, 680)(71, 789)(72, 778)(73, 791)(74, 787)(75, 792)(76, 740)(77, 682)(78, 797)(79, 733)(80, 768)(81, 684)(82, 801)(83, 685)(84, 803)(85, 804)(86, 706)(87, 687)(88, 689)(89, 691)(90, 811)(91, 812)(92, 814)(93, 815)(94, 817)(95, 690)(96, 810)(97, 821)(98, 692)(99, 694)(100, 825)(101, 714)(102, 828)(103, 696)(104, 822)(105, 830)(106, 832)(107, 805)(108, 697)(109, 837)(110, 723)(111, 731)(112, 699)(113, 841)(114, 700)(115, 701)(116, 844)(117, 827)(118, 703)(119, 847)(120, 704)(121, 719)(122, 851)(123, 707)(124, 853)(125, 708)(126, 839)(127, 833)(128, 711)(129, 854)(130, 859)(131, 861)(132, 716)(133, 712)(134, 864)(135, 824)(136, 866)(137, 863)(138, 867)(139, 717)(140, 718)(141, 869)(142, 721)(143, 871)(144, 870)(145, 873)(146, 823)(147, 725)(148, 727)(149, 729)(150, 878)(151, 728)(152, 877)(153, 813)(154, 730)(155, 735)(156, 883)(157, 885)(158, 790)(159, 734)(160, 736)(161, 738)(162, 892)(163, 753)(164, 889)(165, 895)(166, 795)(167, 793)(168, 741)(169, 899)(170, 762)(171, 743)(172, 744)(173, 903)(174, 746)(175, 905)(176, 747)(177, 901)(178, 896)(179, 750)(180, 907)(181, 909)(182, 891)(183, 911)(184, 763)(185, 912)(186, 890)(187, 756)(188, 758)(189, 760)(190, 918)(191, 759)(192, 917)(193, 884)(194, 761)(195, 772)(196, 766)(197, 765)(198, 906)(199, 799)(200, 786)(201, 904)(202, 769)(203, 888)(204, 782)(205, 894)(206, 773)(207, 775)(208, 780)(209, 776)(210, 932)(211, 788)(212, 934)(213, 931)(214, 935)(215, 781)(216, 936)(217, 784)(218, 938)(219, 937)(220, 940)(221, 925)(222, 916)(223, 886)(224, 939)(225, 898)(226, 910)(227, 794)(228, 796)(229, 893)(230, 913)(231, 798)(232, 800)(233, 933)(234, 802)(235, 876)(236, 945)(237, 835)(238, 806)(239, 820)(240, 807)(241, 808)(242, 950)(243, 809)(244, 948)(245, 946)(246, 951)(247, 882)(248, 952)(249, 881)(250, 816)(251, 819)(252, 957)(253, 818)(254, 956)(255, 856)(256, 829)(257, 944)(258, 826)(259, 845)(260, 872)(261, 960)(262, 831)(263, 868)(264, 961)(265, 962)(266, 879)(267, 834)(268, 836)(269, 862)(270, 953)(271, 838)(272, 840)(273, 852)(274, 842)(275, 865)(276, 843)(277, 850)(278, 846)(279, 848)(280, 849)(281, 858)(282, 855)(283, 857)(284, 967)(285, 860)(286, 955)(287, 963)(288, 947)(289, 949)(290, 965)(291, 959)(292, 874)(293, 964)(294, 880)(295, 875)(296, 943)(297, 922)(298, 942)(299, 921)(300, 887)(301, 927)(302, 941)(303, 924)(304, 926)(305, 970)(306, 919)(307, 897)(308, 908)(309, 968)(310, 900)(311, 902)(312, 928)(313, 930)(314, 914)(315, 920)(316, 915)(317, 923)(318, 929)(319, 971)(320, 972)(321, 958)(322, 954)(323, 966)(324, 969)(325, 973)(326, 974)(327, 975)(328, 976)(329, 977)(330, 978)(331, 979)(332, 980)(333, 981)(334, 982)(335, 983)(336, 984)(337, 985)(338, 986)(339, 987)(340, 988)(341, 989)(342, 990)(343, 991)(344, 992)(345, 993)(346, 994)(347, 995)(348, 996)(349, 997)(350, 998)(351, 999)(352, 1000)(353, 1001)(354, 1002)(355, 1003)(356, 1004)(357, 1005)(358, 1006)(359, 1007)(360, 1008)(361, 1009)(362, 1010)(363, 1011)(364, 1012)(365, 1013)(366, 1014)(367, 1015)(368, 1016)(369, 1017)(370, 1018)(371, 1019)(372, 1020)(373, 1021)(374, 1022)(375, 1023)(376, 1024)(377, 1025)(378, 1026)(379, 1027)(380, 1028)(381, 1029)(382, 1030)(383, 1031)(384, 1032)(385, 1033)(386, 1034)(387, 1035)(388, 1036)(389, 1037)(390, 1038)(391, 1039)(392, 1040)(393, 1041)(394, 1042)(395, 1043)(396, 1044)(397, 1045)(398, 1046)(399, 1047)(400, 1048)(401, 1049)(402, 1050)(403, 1051)(404, 1052)(405, 1053)(406, 1054)(407, 1055)(408, 1056)(409, 1057)(410, 1058)(411, 1059)(412, 1060)(413, 1061)(414, 1062)(415, 1063)(416, 1064)(417, 1065)(418, 1066)(419, 1067)(420, 1068)(421, 1069)(422, 1070)(423, 1071)(424, 1072)(425, 1073)(426, 1074)(427, 1075)(428, 1076)(429, 1077)(430, 1078)(431, 1079)(432, 1080)(433, 1081)(434, 1082)(435, 1083)(436, 1084)(437, 1085)(438, 1086)(439, 1087)(440, 1088)(441, 1089)(442, 1090)(443, 1091)(444, 1092)(445, 1093)(446, 1094)(447, 1095)(448, 1096)(449, 1097)(450, 1098)(451, 1099)(452, 1100)(453, 1101)(454, 1102)(455, 1103)(456, 1104)(457, 1105)(458, 1106)(459, 1107)(460, 1108)(461, 1109)(462, 1110)(463, 1111)(464, 1112)(465, 1113)(466, 1114)(467, 1115)(468, 1116)(469, 1117)(470, 1118)(471, 1119)(472, 1120)(473, 1121)(474, 1122)(475, 1123)(476, 1124)(477, 1125)(478, 1126)(479, 1127)(480, 1128)(481, 1129)(482, 1130)(483, 1131)(484, 1132)(485, 1133)(486, 1134)(487, 1135)(488, 1136)(489, 1137)(490, 1138)(491, 1139)(492, 1140)(493, 1141)(494, 1142)(495, 1143)(496, 1144)(497, 1145)(498, 1146)(499, 1147)(500, 1148)(501, 1149)(502, 1150)(503, 1151)(504, 1152)(505, 1153)(506, 1154)(507, 1155)(508, 1156)(509, 1157)(510, 1158)(511, 1159)(512, 1160)(513, 1161)(514, 1162)(515, 1163)(516, 1164)(517, 1165)(518, 1166)(519, 1167)(520, 1168)(521, 1169)(522, 1170)(523, 1171)(524, 1172)(525, 1173)(526, 1174)(527, 1175)(528, 1176)(529, 1177)(530, 1178)(531, 1179)(532, 1180)(533, 1181)(534, 1182)(535, 1183)(536, 1184)(537, 1185)(538, 1186)(539, 1187)(540, 1188)(541, 1189)(542, 1190)(543, 1191)(544, 1192)(545, 1193)(546, 1194)(547, 1195)(548, 1196)(549, 1197)(550, 1198)(551, 1199)(552, 1200)(553, 1201)(554, 1202)(555, 1203)(556, 1204)(557, 1205)(558, 1206)(559, 1207)(560, 1208)(561, 1209)(562, 1210)(563, 1211)(564, 1212)(565, 1213)(566, 1214)(567, 1215)(568, 1216)(569, 1217)(570, 1218)(571, 1219)(572, 1220)(573, 1221)(574, 1222)(575, 1223)(576, 1224)(577, 1225)(578, 1226)(579, 1227)(580, 1228)(581, 1229)(582, 1230)(583, 1231)(584, 1232)(585, 1233)(586, 1234)(587, 1235)(588, 1236)(589, 1237)(590, 1238)(591, 1239)(592, 1240)(593, 1241)(594, 1242)(595, 1243)(596, 1244)(597, 1245)(598, 1246)(599, 1247)(600, 1248)(601, 1249)(602, 1250)(603, 1251)(604, 1252)(605, 1253)(606, 1254)(607, 1255)(608, 1256)(609, 1257)(610, 1258)(611, 1259)(612, 1260)(613, 1261)(614, 1262)(615, 1263)(616, 1264)(617, 1265)(618, 1266)(619, 1267)(620, 1268)(621, 1269)(622, 1270)(623, 1271)(624, 1272)(625, 1273)(626, 1274)(627, 1275)(628, 1276)(629, 1277)(630, 1278)(631, 1279)(632, 1280)(633, 1281)(634, 1282)(635, 1283)(636, 1284)(637, 1285)(638, 1286)(639, 1287)(640, 1288)(641, 1289)(642, 1290)(643, 1291)(644, 1292)(645, 1293)(646, 1294)(647, 1295)(648, 1296)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.3221
Graph:: bipartite
	v = 108 e = 648 f = 486
	degree seq :: [ 12^108 ]

E28.3221 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
Aut   = $<648, 299>$ (small group id <648, 299>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^6, Y3^-1 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^-2 * Y2 * Y3^-1, (Y3^-1 * Y1^-1)^6, (Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2)^2, Y3 * Y2 * Y3^-1 * Y2 * Y3^2 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-4 * Y2, Y3^-1 * Y2 * Y3 * Y2 * Y3^2 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-4 * Y2 ]
Map:: polytopal
	R = (1, 325)(2, 326)(3, 327)(4, 328)(5, 329)(6, 330)(7, 331)(8, 332)(9, 333)(10, 334)(11, 335)(12, 336)(13, 337)(14, 338)(15, 339)(16, 340)(17, 341)(18, 342)(19, 343)(20, 344)(21, 345)(22, 346)(23, 347)(24, 348)(25, 349)(26, 350)(27, 351)(28, 352)(29, 353)(30, 354)(31, 355)(32, 356)(33, 357)(34, 358)(35, 359)(36, 360)(37, 361)(38, 362)(39, 363)(40, 364)(41, 365)(42, 366)(43, 367)(44, 368)(45, 369)(46, 370)(47, 371)(48, 372)(49, 373)(50, 374)(51, 375)(52, 376)(53, 377)(54, 378)(55, 379)(56, 380)(57, 381)(58, 382)(59, 383)(60, 384)(61, 385)(62, 386)(63, 387)(64, 388)(65, 389)(66, 390)(67, 391)(68, 392)(69, 393)(70, 394)(71, 395)(72, 396)(73, 397)(74, 398)(75, 399)(76, 400)(77, 401)(78, 402)(79, 403)(80, 404)(81, 405)(82, 406)(83, 407)(84, 408)(85, 409)(86, 410)(87, 411)(88, 412)(89, 413)(90, 414)(91, 415)(92, 416)(93, 417)(94, 418)(95, 419)(96, 420)(97, 421)(98, 422)(99, 423)(100, 424)(101, 425)(102, 426)(103, 427)(104, 428)(105, 429)(106, 430)(107, 431)(108, 432)(109, 433)(110, 434)(111, 435)(112, 436)(113, 437)(114, 438)(115, 439)(116, 440)(117, 441)(118, 442)(119, 443)(120, 444)(121, 445)(122, 446)(123, 447)(124, 448)(125, 449)(126, 450)(127, 451)(128, 452)(129, 453)(130, 454)(131, 455)(132, 456)(133, 457)(134, 458)(135, 459)(136, 460)(137, 461)(138, 462)(139, 463)(140, 464)(141, 465)(142, 466)(143, 467)(144, 468)(145, 469)(146, 470)(147, 471)(148, 472)(149, 473)(150, 474)(151, 475)(152, 476)(153, 477)(154, 478)(155, 479)(156, 480)(157, 481)(158, 482)(159, 483)(160, 484)(161, 485)(162, 486)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)(649, 973, 650, 974)(651, 975, 655, 979)(652, 976, 657, 981)(653, 977, 659, 983)(654, 978, 661, 985)(656, 980, 665, 989)(658, 982, 669, 993)(660, 984, 672, 996)(662, 986, 676, 1000)(663, 987, 677, 1001)(664, 988, 679, 1003)(666, 990, 683, 1007)(667, 991, 684, 1008)(668, 992, 686, 1010)(670, 994, 690, 1014)(671, 995, 692, 1016)(673, 997, 696, 1020)(674, 998, 697, 1021)(675, 999, 699, 1023)(678, 1002, 705, 1029)(680, 1004, 709, 1033)(681, 1005, 710, 1034)(682, 1006, 712, 1036)(685, 1009, 718, 1042)(687, 1011, 722, 1046)(688, 1012, 723, 1047)(689, 1013, 725, 1049)(691, 1015, 729, 1053)(693, 1017, 733, 1057)(694, 1018, 734, 1058)(695, 1019, 736, 1060)(698, 1022, 742, 1066)(700, 1024, 746, 1070)(701, 1025, 747, 1071)(702, 1026, 749, 1073)(703, 1027, 745, 1069)(704, 1028, 732, 1056)(706, 1030, 755, 1079)(707, 1031, 741, 1065)(708, 1032, 728, 1052)(711, 1035, 735, 1059)(713, 1037, 748, 1072)(714, 1038, 765, 1089)(715, 1039, 767, 1091)(716, 1040, 744, 1068)(717, 1041, 731, 1055)(719, 1043, 772, 1096)(720, 1044, 740, 1064)(721, 1045, 727, 1051)(724, 1048, 737, 1061)(726, 1050, 750, 1074)(730, 1054, 785, 1109)(738, 1062, 795, 1119)(739, 1063, 797, 1121)(743, 1067, 802, 1126)(751, 1075, 806, 1130)(752, 1076, 790, 1114)(753, 1077, 812, 1136)(754, 1078, 789, 1113)(756, 1080, 807, 1131)(757, 1081, 791, 1115)(758, 1082, 817, 1141)(759, 1083, 784, 1108)(760, 1084, 782, 1106)(761, 1085, 787, 1111)(762, 1086, 821, 1145)(763, 1087, 800, 1124)(764, 1088, 804, 1128)(766, 1090, 813, 1137)(768, 1092, 818, 1142)(769, 1093, 809, 1133)(770, 1094, 793, 1117)(771, 1095, 830, 1154)(773, 1097, 810, 1134)(774, 1098, 794, 1118)(775, 1099, 834, 1158)(776, 1100, 781, 1105)(777, 1101, 786, 1110)(778, 1102, 837, 1161)(779, 1103, 799, 1123)(780, 1104, 803, 1127)(783, 1107, 841, 1165)(788, 1112, 846, 1170)(792, 1116, 850, 1174)(796, 1120, 842, 1166)(798, 1122, 847, 1171)(801, 1125, 859, 1183)(805, 1129, 863, 1187)(808, 1132, 866, 1190)(811, 1135, 857, 1181)(814, 1138, 861, 1185)(815, 1139, 844, 1168)(816, 1140, 854, 1178)(819, 1143, 873, 1197)(820, 1144, 869, 1193)(822, 1146, 874, 1198)(823, 1147, 870, 1194)(824, 1148, 862, 1186)(825, 1149, 845, 1169)(826, 1150, 881, 1205)(827, 1151, 858, 1182)(828, 1152, 840, 1164)(829, 1153, 856, 1180)(831, 1155, 860, 1184)(832, 1156, 843, 1167)(833, 1157, 853, 1177)(835, 1159, 888, 1212)(836, 1160, 884, 1208)(838, 1162, 889, 1213)(839, 1163, 885, 1209)(848, 1172, 898, 1222)(849, 1173, 894, 1218)(851, 1175, 899, 1223)(852, 1176, 895, 1219)(855, 1179, 906, 1230)(864, 1188, 913, 1237)(865, 1189, 909, 1233)(867, 1191, 914, 1238)(868, 1192, 910, 1234)(871, 1195, 915, 1239)(872, 1196, 900, 1224)(875, 1199, 897, 1221)(876, 1200, 905, 1229)(877, 1201, 908, 1232)(878, 1202, 912, 1236)(879, 1203, 916, 1240)(880, 1204, 901, 1225)(882, 1206, 917, 1241)(883, 1207, 902, 1226)(886, 1210, 918, 1242)(887, 1211, 903, 1227)(890, 1214, 896, 1220)(891, 1215, 904, 1228)(892, 1216, 907, 1231)(893, 1217, 911, 1235)(919, 1243, 940, 1264)(920, 1244, 951, 1275)(921, 1245, 946, 1270)(922, 1246, 937, 1261)(923, 1247, 948, 1272)(924, 1248, 956, 1280)(925, 1249, 955, 1279)(926, 1250, 947, 1271)(927, 1251, 950, 1274)(928, 1252, 939, 1263)(929, 1253, 944, 1268)(930, 1254, 941, 1265)(931, 1255, 952, 1276)(932, 1256, 945, 1269)(933, 1257, 938, 1262)(934, 1258, 949, 1273)(935, 1259, 961, 1285)(936, 1260, 960, 1284)(942, 1266, 964, 1288)(943, 1267, 963, 1287)(953, 1277, 969, 1293)(954, 1278, 968, 1292)(957, 1281, 967, 1291)(958, 1282, 970, 1294)(959, 1283, 965, 1289)(962, 1286, 966, 1290)(971, 1295, 972, 1296)
	L = (1, 651)(2, 653)(3, 656)(4, 649)(5, 660)(6, 650)(7, 663)(8, 666)(9, 667)(10, 652)(11, 670)(12, 673)(13, 674)(14, 654)(15, 678)(16, 655)(17, 681)(18, 658)(19, 685)(20, 657)(21, 688)(22, 691)(23, 659)(24, 694)(25, 662)(26, 698)(27, 661)(28, 701)(29, 703)(30, 706)(31, 707)(32, 664)(33, 711)(34, 665)(35, 714)(36, 716)(37, 719)(38, 720)(39, 668)(40, 724)(41, 669)(42, 727)(43, 730)(44, 731)(45, 671)(46, 735)(47, 672)(48, 738)(49, 740)(50, 743)(51, 744)(52, 675)(53, 748)(54, 676)(55, 751)(56, 677)(57, 753)(58, 680)(59, 756)(60, 679)(61, 758)(62, 760)(63, 762)(64, 763)(65, 682)(66, 766)(67, 683)(68, 769)(69, 684)(70, 754)(71, 687)(72, 773)(73, 686)(74, 759)(75, 776)(76, 778)(77, 779)(78, 689)(79, 781)(80, 690)(81, 783)(82, 693)(83, 786)(84, 692)(85, 788)(86, 790)(87, 792)(88, 793)(89, 695)(90, 796)(91, 696)(92, 799)(93, 697)(94, 784)(95, 700)(96, 803)(97, 699)(98, 789)(99, 806)(100, 808)(101, 809)(102, 702)(103, 811)(104, 704)(105, 813)(106, 705)(107, 814)(108, 816)(109, 708)(110, 818)(111, 709)(112, 819)(113, 710)(114, 713)(115, 822)(116, 712)(117, 824)(118, 826)(119, 827)(120, 715)(121, 829)(122, 717)(123, 718)(124, 831)(125, 833)(126, 721)(127, 722)(128, 835)(129, 723)(130, 726)(131, 838)(132, 725)(133, 840)(134, 728)(135, 842)(136, 729)(137, 843)(138, 845)(139, 732)(140, 847)(141, 733)(142, 848)(143, 734)(144, 737)(145, 851)(146, 736)(147, 853)(148, 855)(149, 856)(150, 739)(151, 858)(152, 741)(153, 742)(154, 860)(155, 862)(156, 745)(157, 746)(158, 864)(159, 747)(160, 750)(161, 867)(162, 749)(163, 752)(164, 869)(165, 771)(166, 871)(167, 755)(168, 757)(169, 873)(170, 775)(171, 875)(172, 761)(173, 876)(174, 878)(175, 764)(176, 879)(177, 765)(178, 768)(179, 882)(180, 767)(181, 770)(182, 884)(183, 886)(184, 772)(185, 774)(186, 888)(187, 890)(188, 777)(189, 891)(190, 893)(191, 780)(192, 782)(193, 894)(194, 801)(195, 896)(196, 785)(197, 787)(198, 898)(199, 805)(200, 900)(201, 791)(202, 901)(203, 903)(204, 794)(205, 904)(206, 795)(207, 798)(208, 907)(209, 797)(210, 800)(211, 909)(212, 911)(213, 802)(214, 804)(215, 913)(216, 915)(217, 807)(218, 916)(219, 918)(220, 810)(221, 919)(222, 812)(223, 921)(224, 815)(225, 922)(226, 817)(227, 820)(228, 924)(229, 821)(230, 823)(231, 926)(232, 825)(233, 927)(234, 929)(235, 828)(236, 930)(237, 830)(238, 932)(239, 832)(240, 933)(241, 834)(242, 836)(243, 935)(244, 837)(245, 839)(246, 937)(247, 841)(248, 939)(249, 844)(250, 940)(251, 846)(252, 849)(253, 942)(254, 850)(255, 852)(256, 944)(257, 854)(258, 945)(259, 947)(260, 857)(261, 948)(262, 859)(263, 950)(264, 861)(265, 951)(266, 863)(267, 865)(268, 953)(269, 866)(270, 868)(271, 955)(272, 870)(273, 872)(274, 956)(275, 874)(276, 957)(277, 877)(278, 880)(279, 958)(280, 881)(281, 883)(282, 960)(283, 885)(284, 887)(285, 961)(286, 889)(287, 962)(288, 892)(289, 963)(290, 895)(291, 897)(292, 964)(293, 899)(294, 965)(295, 902)(296, 905)(297, 966)(298, 906)(299, 908)(300, 968)(301, 910)(302, 912)(303, 969)(304, 914)(305, 970)(306, 917)(307, 920)(308, 923)(309, 925)(310, 971)(311, 928)(312, 931)(313, 934)(314, 936)(315, 938)(316, 941)(317, 943)(318, 972)(319, 946)(320, 949)(321, 952)(322, 954)(323, 959)(324, 967)(325, 973)(326, 974)(327, 975)(328, 976)(329, 977)(330, 978)(331, 979)(332, 980)(333, 981)(334, 982)(335, 983)(336, 984)(337, 985)(338, 986)(339, 987)(340, 988)(341, 989)(342, 990)(343, 991)(344, 992)(345, 993)(346, 994)(347, 995)(348, 996)(349, 997)(350, 998)(351, 999)(352, 1000)(353, 1001)(354, 1002)(355, 1003)(356, 1004)(357, 1005)(358, 1006)(359, 1007)(360, 1008)(361, 1009)(362, 1010)(363, 1011)(364, 1012)(365, 1013)(366, 1014)(367, 1015)(368, 1016)(369, 1017)(370, 1018)(371, 1019)(372, 1020)(373, 1021)(374, 1022)(375, 1023)(376, 1024)(377, 1025)(378, 1026)(379, 1027)(380, 1028)(381, 1029)(382, 1030)(383, 1031)(384, 1032)(385, 1033)(386, 1034)(387, 1035)(388, 1036)(389, 1037)(390, 1038)(391, 1039)(392, 1040)(393, 1041)(394, 1042)(395, 1043)(396, 1044)(397, 1045)(398, 1046)(399, 1047)(400, 1048)(401, 1049)(402, 1050)(403, 1051)(404, 1052)(405, 1053)(406, 1054)(407, 1055)(408, 1056)(409, 1057)(410, 1058)(411, 1059)(412, 1060)(413, 1061)(414, 1062)(415, 1063)(416, 1064)(417, 1065)(418, 1066)(419, 1067)(420, 1068)(421, 1069)(422, 1070)(423, 1071)(424, 1072)(425, 1073)(426, 1074)(427, 1075)(428, 1076)(429, 1077)(430, 1078)(431, 1079)(432, 1080)(433, 1081)(434, 1082)(435, 1083)(436, 1084)(437, 1085)(438, 1086)(439, 1087)(440, 1088)(441, 1089)(442, 1090)(443, 1091)(444, 1092)(445, 1093)(446, 1094)(447, 1095)(448, 1096)(449, 1097)(450, 1098)(451, 1099)(452, 1100)(453, 1101)(454, 1102)(455, 1103)(456, 1104)(457, 1105)(458, 1106)(459, 1107)(460, 1108)(461, 1109)(462, 1110)(463, 1111)(464, 1112)(465, 1113)(466, 1114)(467, 1115)(468, 1116)(469, 1117)(470, 1118)(471, 1119)(472, 1120)(473, 1121)(474, 1122)(475, 1123)(476, 1124)(477, 1125)(478, 1126)(479, 1127)(480, 1128)(481, 1129)(482, 1130)(483, 1131)(484, 1132)(485, 1133)(486, 1134)(487, 1135)(488, 1136)(489, 1137)(490, 1138)(491, 1139)(492, 1140)(493, 1141)(494, 1142)(495, 1143)(496, 1144)(497, 1145)(498, 1146)(499, 1147)(500, 1148)(501, 1149)(502, 1150)(503, 1151)(504, 1152)(505, 1153)(506, 1154)(507, 1155)(508, 1156)(509, 1157)(510, 1158)(511, 1159)(512, 1160)(513, 1161)(514, 1162)(515, 1163)(516, 1164)(517, 1165)(518, 1166)(519, 1167)(520, 1168)(521, 1169)(522, 1170)(523, 1171)(524, 1172)(525, 1173)(526, 1174)(527, 1175)(528, 1176)(529, 1177)(530, 1178)(531, 1179)(532, 1180)(533, 1181)(534, 1182)(535, 1183)(536, 1184)(537, 1185)(538, 1186)(539, 1187)(540, 1188)(541, 1189)(542, 1190)(543, 1191)(544, 1192)(545, 1193)(546, 1194)(547, 1195)(548, 1196)(549, 1197)(550, 1198)(551, 1199)(552, 1200)(553, 1201)(554, 1202)(555, 1203)(556, 1204)(557, 1205)(558, 1206)(559, 1207)(560, 1208)(561, 1209)(562, 1210)(563, 1211)(564, 1212)(565, 1213)(566, 1214)(567, 1215)(568, 1216)(569, 1217)(570, 1218)(571, 1219)(572, 1220)(573, 1221)(574, 1222)(575, 1223)(576, 1224)(577, 1225)(578, 1226)(579, 1227)(580, 1228)(581, 1229)(582, 1230)(583, 1231)(584, 1232)(585, 1233)(586, 1234)(587, 1235)(588, 1236)(589, 1237)(590, 1238)(591, 1239)(592, 1240)(593, 1241)(594, 1242)(595, 1243)(596, 1244)(597, 1245)(598, 1246)(599, 1247)(600, 1248)(601, 1249)(602, 1250)(603, 1251)(604, 1252)(605, 1253)(606, 1254)(607, 1255)(608, 1256)(609, 1257)(610, 1258)(611, 1259)(612, 1260)(613, 1261)(614, 1262)(615, 1263)(616, 1264)(617, 1265)(618, 1266)(619, 1267)(620, 1268)(621, 1269)(622, 1270)(623, 1271)(624, 1272)(625, 1273)(626, 1274)(627, 1275)(628, 1276)(629, 1277)(630, 1278)(631, 1279)(632, 1280)(633, 1281)(634, 1282)(635, 1283)(636, 1284)(637, 1285)(638, 1286)(639, 1287)(640, 1288)(641, 1289)(642, 1290)(643, 1291)(644, 1292)(645, 1293)(646, 1294)(647, 1295)(648, 1296)
	local type(s) :: { ( 12, 12 ), ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E28.3220
Graph:: simple bipartite
	v = 486 e = 648 f = 108
	degree seq :: [ 2^324, 4^162 ]

E28.3222 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
Aut   = $<648, 299>$ (small group id <648, 299>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y1^6, Y3 * Y1^-1 * Y3 * Y1^2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^2, Y3 * Y1^-2 * Y3 * Y1 * Y3^-1 * Y1^-2 * Y3^-1 * Y1, Y1 * Y3^2 * Y1 * Y3^2 * Y1^2 * Y3^2 * Y1^2, (Y3^-1 * Y1^-1)^6, Y1^-2 * Y3^2 * Y1 * Y3 * Y1 * Y3 * Y1^-2 * Y3 * Y1 * Y3 * Y1^-1, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^2 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y1 * Y3 * Y1^2 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-1, Y1^-1 * Y3 * Y1^-2 * Y3 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^2 * Y3^-1 * Y1 * Y3^-1 ]
Map:: polytopal
	R = (1, 325, 2, 326, 5, 329, 11, 335, 10, 334, 4, 328)(3, 327, 7, 331, 15, 339, 29, 353, 18, 342, 8, 332)(6, 330, 13, 337, 25, 349, 48, 372, 28, 352, 14, 338)(9, 333, 19, 343, 36, 360, 66, 390, 39, 363, 20, 344)(12, 336, 23, 347, 44, 368, 78, 402, 47, 371, 24, 348)(16, 340, 31, 355, 57, 381, 82, 406, 46, 370, 32, 356)(17, 341, 33, 357, 60, 384, 102, 426, 63, 387, 34, 358)(21, 345, 40, 364, 71, 395, 115, 439, 73, 397, 41, 365)(22, 346, 42, 366, 74, 398, 118, 442, 77, 401, 43, 367)(26, 350, 50, 374, 86, 410, 121, 445, 76, 400, 51, 375)(27, 351, 52, 376, 37, 361, 67, 391, 91, 415, 53, 377)(30, 354, 56, 380, 95, 419, 142, 466, 92, 416, 54, 378)(35, 359, 64, 388, 106, 430, 158, 482, 108, 432, 65, 389)(38, 362, 68, 392, 75, 399, 120, 444, 112, 436, 69, 393)(45, 369, 80, 404, 125, 449, 116, 440, 72, 396, 81, 405)(49, 373, 85, 409, 132, 456, 183, 507, 129, 453, 83, 407)(55, 379, 93, 417, 143, 467, 197, 521, 146, 470, 94, 418)(58, 382, 98, 422, 149, 473, 199, 523, 145, 469, 99, 423)(59, 383, 100, 424, 61, 385, 103, 427, 127, 451, 101, 425)(62, 386, 104, 428, 144, 468, 186, 510, 135, 459, 87, 411)(70, 394, 113, 437, 166, 490, 223, 547, 167, 491, 114, 438)(79, 403, 124, 448, 177, 501, 235, 559, 174, 498, 122, 446)(84, 408, 130, 454, 184, 508, 246, 570, 187, 511, 131, 455)(88, 412, 136, 460, 89, 413, 138, 462, 111, 435, 137, 461)(90, 414, 139, 463, 185, 509, 238, 562, 180, 504, 126, 450)(96, 420, 148, 472, 202, 526, 159, 483, 107, 431, 140, 464)(97, 421, 133, 457, 189, 513, 250, 574, 195, 519, 141, 465)(105, 429, 156, 480, 212, 536, 270, 594, 213, 537, 157, 481)(109, 433, 161, 485, 216, 540, 273, 597, 218, 542, 162, 486)(110, 434, 163, 487, 219, 543, 275, 599, 217, 541, 164, 488)(117, 441, 119, 443, 171, 495, 230, 554, 227, 551, 169, 493)(123, 447, 175, 499, 236, 560, 289, 613, 239, 563, 176, 500)(128, 452, 181, 505, 237, 561, 281, 605, 232, 556, 172, 496)(134, 458, 178, 502, 241, 565, 292, 616, 244, 568, 182, 506)(147, 471, 201, 525, 262, 586, 302, 626, 261, 585, 200, 524)(150, 474, 205, 529, 151, 475, 207, 531, 155, 479, 206, 530)(152, 476, 208, 532, 243, 567, 293, 617, 242, 566, 203, 527)(153, 477, 173, 497, 233, 557, 280, 604, 268, 592, 209, 533)(154, 478, 210, 534, 269, 593, 304, 628, 267, 591, 211, 535)(160, 484, 198, 522, 260, 584, 291, 615, 240, 564, 215, 539)(165, 489, 221, 545, 265, 589, 303, 627, 266, 590, 222, 546)(168, 492, 225, 549, 277, 601, 308, 632, 278, 602, 226, 550)(170, 494, 228, 552, 279, 603, 309, 633, 282, 606, 229, 553)(179, 503, 231, 555, 284, 608, 312, 636, 287, 611, 234, 558)(188, 512, 249, 573, 224, 548, 274, 598, 297, 621, 248, 572)(190, 514, 252, 576, 191, 515, 254, 578, 194, 518, 253, 577)(192, 516, 255, 579, 286, 610, 313, 637, 285, 609, 251, 575)(193, 517, 256, 580, 204, 528, 263, 587, 220, 544, 257, 581)(196, 520, 247, 571, 296, 620, 311, 635, 283, 607, 258, 582)(214, 538, 271, 595, 288, 612, 310, 634, 306, 630, 272, 596)(245, 569, 290, 614, 315, 639, 307, 631, 276, 600, 294, 618)(259, 583, 299, 623, 319, 643, 322, 646, 314, 638, 295, 619)(264, 588, 300, 624, 316, 640, 324, 648, 320, 644, 301, 625)(298, 622, 317, 641, 323, 647, 321, 645, 305, 629, 318, 642)(649, 973)(650, 974)(651, 975)(652, 976)(653, 977)(654, 978)(655, 979)(656, 980)(657, 981)(658, 982)(659, 983)(660, 984)(661, 985)(662, 986)(663, 987)(664, 988)(665, 989)(666, 990)(667, 991)(668, 992)(669, 993)(670, 994)(671, 995)(672, 996)(673, 997)(674, 998)(675, 999)(676, 1000)(677, 1001)(678, 1002)(679, 1003)(680, 1004)(681, 1005)(682, 1006)(683, 1007)(684, 1008)(685, 1009)(686, 1010)(687, 1011)(688, 1012)(689, 1013)(690, 1014)(691, 1015)(692, 1016)(693, 1017)(694, 1018)(695, 1019)(696, 1020)(697, 1021)(698, 1022)(699, 1023)(700, 1024)(701, 1025)(702, 1026)(703, 1027)(704, 1028)(705, 1029)(706, 1030)(707, 1031)(708, 1032)(709, 1033)(710, 1034)(711, 1035)(712, 1036)(713, 1037)(714, 1038)(715, 1039)(716, 1040)(717, 1041)(718, 1042)(719, 1043)(720, 1044)(721, 1045)(722, 1046)(723, 1047)(724, 1048)(725, 1049)(726, 1050)(727, 1051)(728, 1052)(729, 1053)(730, 1054)(731, 1055)(732, 1056)(733, 1057)(734, 1058)(735, 1059)(736, 1060)(737, 1061)(738, 1062)(739, 1063)(740, 1064)(741, 1065)(742, 1066)(743, 1067)(744, 1068)(745, 1069)(746, 1070)(747, 1071)(748, 1072)(749, 1073)(750, 1074)(751, 1075)(752, 1076)(753, 1077)(754, 1078)(755, 1079)(756, 1080)(757, 1081)(758, 1082)(759, 1083)(760, 1084)(761, 1085)(762, 1086)(763, 1087)(764, 1088)(765, 1089)(766, 1090)(767, 1091)(768, 1092)(769, 1093)(770, 1094)(771, 1095)(772, 1096)(773, 1097)(774, 1098)(775, 1099)(776, 1100)(777, 1101)(778, 1102)(779, 1103)(780, 1104)(781, 1105)(782, 1106)(783, 1107)(784, 1108)(785, 1109)(786, 1110)(787, 1111)(788, 1112)(789, 1113)(790, 1114)(791, 1115)(792, 1116)(793, 1117)(794, 1118)(795, 1119)(796, 1120)(797, 1121)(798, 1122)(799, 1123)(800, 1124)(801, 1125)(802, 1126)(803, 1127)(804, 1128)(805, 1129)(806, 1130)(807, 1131)(808, 1132)(809, 1133)(810, 1134)(811, 1135)(812, 1136)(813, 1137)(814, 1138)(815, 1139)(816, 1140)(817, 1141)(818, 1142)(819, 1143)(820, 1144)(821, 1145)(822, 1146)(823, 1147)(824, 1148)(825, 1149)(826, 1150)(827, 1151)(828, 1152)(829, 1153)(830, 1154)(831, 1155)(832, 1156)(833, 1157)(834, 1158)(835, 1159)(836, 1160)(837, 1161)(838, 1162)(839, 1163)(840, 1164)(841, 1165)(842, 1166)(843, 1167)(844, 1168)(845, 1169)(846, 1170)(847, 1171)(848, 1172)(849, 1173)(850, 1174)(851, 1175)(852, 1176)(853, 1177)(854, 1178)(855, 1179)(856, 1180)(857, 1181)(858, 1182)(859, 1183)(860, 1184)(861, 1185)(862, 1186)(863, 1187)(864, 1188)(865, 1189)(866, 1190)(867, 1191)(868, 1192)(869, 1193)(870, 1194)(871, 1195)(872, 1196)(873, 1197)(874, 1198)(875, 1199)(876, 1200)(877, 1201)(878, 1202)(879, 1203)(880, 1204)(881, 1205)(882, 1206)(883, 1207)(884, 1208)(885, 1209)(886, 1210)(887, 1211)(888, 1212)(889, 1213)(890, 1214)(891, 1215)(892, 1216)(893, 1217)(894, 1218)(895, 1219)(896, 1220)(897, 1221)(898, 1222)(899, 1223)(900, 1224)(901, 1225)(902, 1226)(903, 1227)(904, 1228)(905, 1229)(906, 1230)(907, 1231)(908, 1232)(909, 1233)(910, 1234)(911, 1235)(912, 1236)(913, 1237)(914, 1238)(915, 1239)(916, 1240)(917, 1241)(918, 1242)(919, 1243)(920, 1244)(921, 1245)(922, 1246)(923, 1247)(924, 1248)(925, 1249)(926, 1250)(927, 1251)(928, 1252)(929, 1253)(930, 1254)(931, 1255)(932, 1256)(933, 1257)(934, 1258)(935, 1259)(936, 1260)(937, 1261)(938, 1262)(939, 1263)(940, 1264)(941, 1265)(942, 1266)(943, 1267)(944, 1268)(945, 1269)(946, 1270)(947, 1271)(948, 1272)(949, 1273)(950, 1274)(951, 1275)(952, 1276)(953, 1277)(954, 1278)(955, 1279)(956, 1280)(957, 1281)(958, 1282)(959, 1283)(960, 1284)(961, 1285)(962, 1286)(963, 1287)(964, 1288)(965, 1289)(966, 1290)(967, 1291)(968, 1292)(969, 1293)(970, 1294)(971, 1295)(972, 1296)
	L = (1, 651)(2, 654)(3, 649)(4, 657)(5, 660)(6, 650)(7, 664)(8, 665)(9, 652)(10, 669)(11, 670)(12, 653)(13, 674)(14, 675)(15, 678)(16, 655)(17, 656)(18, 683)(19, 685)(20, 686)(21, 658)(22, 659)(23, 693)(24, 694)(25, 697)(26, 661)(27, 662)(28, 702)(29, 703)(30, 663)(31, 706)(32, 707)(33, 709)(34, 710)(35, 666)(36, 712)(37, 667)(38, 668)(39, 718)(40, 708)(41, 720)(42, 723)(43, 724)(44, 727)(45, 671)(46, 672)(47, 731)(48, 732)(49, 673)(50, 735)(51, 736)(52, 737)(53, 738)(54, 676)(55, 677)(56, 744)(57, 745)(58, 679)(59, 680)(60, 688)(61, 681)(62, 682)(63, 753)(64, 684)(65, 755)(66, 757)(67, 758)(68, 759)(69, 746)(70, 687)(71, 761)(72, 689)(73, 765)(74, 767)(75, 690)(76, 691)(77, 770)(78, 771)(79, 692)(80, 774)(81, 775)(82, 776)(83, 695)(84, 696)(85, 781)(86, 782)(87, 698)(88, 699)(89, 700)(90, 701)(91, 788)(92, 789)(93, 792)(94, 793)(95, 795)(96, 704)(97, 705)(98, 717)(99, 798)(100, 799)(101, 800)(102, 801)(103, 802)(104, 803)(105, 711)(106, 804)(107, 713)(108, 808)(109, 714)(110, 715)(111, 716)(112, 813)(113, 719)(114, 805)(115, 816)(116, 811)(117, 721)(118, 818)(119, 722)(120, 820)(121, 821)(122, 725)(123, 726)(124, 826)(125, 827)(126, 728)(127, 729)(128, 730)(129, 830)(130, 833)(131, 834)(132, 836)(133, 733)(134, 734)(135, 838)(136, 839)(137, 840)(138, 841)(139, 842)(140, 739)(141, 740)(142, 844)(143, 846)(144, 741)(145, 742)(146, 848)(147, 743)(148, 851)(149, 852)(150, 747)(151, 748)(152, 749)(153, 750)(154, 751)(155, 752)(156, 754)(157, 762)(158, 862)(159, 858)(160, 756)(161, 847)(162, 865)(163, 764)(164, 868)(165, 760)(166, 869)(167, 872)(168, 763)(169, 870)(170, 766)(171, 879)(172, 768)(173, 769)(174, 882)(175, 885)(176, 886)(177, 888)(178, 772)(179, 773)(180, 890)(181, 891)(182, 777)(183, 893)(184, 895)(185, 778)(186, 779)(187, 896)(188, 780)(189, 899)(190, 783)(191, 784)(192, 785)(193, 786)(194, 787)(195, 904)(196, 790)(197, 907)(198, 791)(199, 809)(200, 794)(201, 911)(202, 912)(203, 796)(204, 797)(205, 913)(206, 897)(207, 892)(208, 914)(209, 915)(210, 807)(211, 889)(212, 900)(213, 903)(214, 806)(215, 901)(216, 922)(217, 810)(218, 920)(219, 917)(220, 812)(221, 814)(222, 817)(223, 924)(224, 815)(225, 923)(226, 916)(227, 910)(228, 928)(229, 929)(230, 931)(231, 819)(232, 933)(233, 934)(234, 822)(235, 936)(236, 938)(237, 823)(238, 824)(239, 939)(240, 825)(241, 859)(242, 828)(243, 829)(244, 855)(245, 831)(246, 943)(247, 832)(248, 835)(249, 854)(250, 946)(251, 837)(252, 860)(253, 863)(254, 935)(255, 861)(256, 843)(257, 932)(258, 941)(259, 845)(260, 948)(261, 949)(262, 875)(263, 849)(264, 850)(265, 853)(266, 856)(267, 857)(268, 874)(269, 867)(270, 953)(271, 952)(272, 866)(273, 947)(274, 864)(275, 873)(276, 871)(277, 950)(278, 955)(279, 958)(280, 876)(281, 877)(282, 959)(283, 878)(284, 905)(285, 880)(286, 881)(287, 902)(288, 883)(289, 962)(290, 884)(291, 887)(292, 964)(293, 906)(294, 961)(295, 894)(296, 965)(297, 966)(298, 898)(299, 921)(300, 908)(301, 909)(302, 925)(303, 968)(304, 919)(305, 918)(306, 969)(307, 926)(308, 967)(309, 970)(310, 927)(311, 930)(312, 971)(313, 942)(314, 937)(315, 972)(316, 940)(317, 944)(318, 945)(319, 956)(320, 951)(321, 954)(322, 957)(323, 960)(324, 963)(325, 973)(326, 974)(327, 975)(328, 976)(329, 977)(330, 978)(331, 979)(332, 980)(333, 981)(334, 982)(335, 983)(336, 984)(337, 985)(338, 986)(339, 987)(340, 988)(341, 989)(342, 990)(343, 991)(344, 992)(345, 993)(346, 994)(347, 995)(348, 996)(349, 997)(350, 998)(351, 999)(352, 1000)(353, 1001)(354, 1002)(355, 1003)(356, 1004)(357, 1005)(358, 1006)(359, 1007)(360, 1008)(361, 1009)(362, 1010)(363, 1011)(364, 1012)(365, 1013)(366, 1014)(367, 1015)(368, 1016)(369, 1017)(370, 1018)(371, 1019)(372, 1020)(373, 1021)(374, 1022)(375, 1023)(376, 1024)(377, 1025)(378, 1026)(379, 1027)(380, 1028)(381, 1029)(382, 1030)(383, 1031)(384, 1032)(385, 1033)(386, 1034)(387, 1035)(388, 1036)(389, 1037)(390, 1038)(391, 1039)(392, 1040)(393, 1041)(394, 1042)(395, 1043)(396, 1044)(397, 1045)(398, 1046)(399, 1047)(400, 1048)(401, 1049)(402, 1050)(403, 1051)(404, 1052)(405, 1053)(406, 1054)(407, 1055)(408, 1056)(409, 1057)(410, 1058)(411, 1059)(412, 1060)(413, 1061)(414, 1062)(415, 1063)(416, 1064)(417, 1065)(418, 1066)(419, 1067)(420, 1068)(421, 1069)(422, 1070)(423, 1071)(424, 1072)(425, 1073)(426, 1074)(427, 1075)(428, 1076)(429, 1077)(430, 1078)(431, 1079)(432, 1080)(433, 1081)(434, 1082)(435, 1083)(436, 1084)(437, 1085)(438, 1086)(439, 1087)(440, 1088)(441, 1089)(442, 1090)(443, 1091)(444, 1092)(445, 1093)(446, 1094)(447, 1095)(448, 1096)(449, 1097)(450, 1098)(451, 1099)(452, 1100)(453, 1101)(454, 1102)(455, 1103)(456, 1104)(457, 1105)(458, 1106)(459, 1107)(460, 1108)(461, 1109)(462, 1110)(463, 1111)(464, 1112)(465, 1113)(466, 1114)(467, 1115)(468, 1116)(469, 1117)(470, 1118)(471, 1119)(472, 1120)(473, 1121)(474, 1122)(475, 1123)(476, 1124)(477, 1125)(478, 1126)(479, 1127)(480, 1128)(481, 1129)(482, 1130)(483, 1131)(484, 1132)(485, 1133)(486, 1134)(487, 1135)(488, 1136)(489, 1137)(490, 1138)(491, 1139)(492, 1140)(493, 1141)(494, 1142)(495, 1143)(496, 1144)(497, 1145)(498, 1146)(499, 1147)(500, 1148)(501, 1149)(502, 1150)(503, 1151)(504, 1152)(505, 1153)(506, 1154)(507, 1155)(508, 1156)(509, 1157)(510, 1158)(511, 1159)(512, 1160)(513, 1161)(514, 1162)(515, 1163)(516, 1164)(517, 1165)(518, 1166)(519, 1167)(520, 1168)(521, 1169)(522, 1170)(523, 1171)(524, 1172)(525, 1173)(526, 1174)(527, 1175)(528, 1176)(529, 1177)(530, 1178)(531, 1179)(532, 1180)(533, 1181)(534, 1182)(535, 1183)(536, 1184)(537, 1185)(538, 1186)(539, 1187)(540, 1188)(541, 1189)(542, 1190)(543, 1191)(544, 1192)(545, 1193)(546, 1194)(547, 1195)(548, 1196)(549, 1197)(550, 1198)(551, 1199)(552, 1200)(553, 1201)(554, 1202)(555, 1203)(556, 1204)(557, 1205)(558, 1206)(559, 1207)(560, 1208)(561, 1209)(562, 1210)(563, 1211)(564, 1212)(565, 1213)(566, 1214)(567, 1215)(568, 1216)(569, 1217)(570, 1218)(571, 1219)(572, 1220)(573, 1221)(574, 1222)(575, 1223)(576, 1224)(577, 1225)(578, 1226)(579, 1227)(580, 1228)(581, 1229)(582, 1230)(583, 1231)(584, 1232)(585, 1233)(586, 1234)(587, 1235)(588, 1236)(589, 1237)(590, 1238)(591, 1239)(592, 1240)(593, 1241)(594, 1242)(595, 1243)(596, 1244)(597, 1245)(598, 1246)(599, 1247)(600, 1248)(601, 1249)(602, 1250)(603, 1251)(604, 1252)(605, 1253)(606, 1254)(607, 1255)(608, 1256)(609, 1257)(610, 1258)(611, 1259)(612, 1260)(613, 1261)(614, 1262)(615, 1263)(616, 1264)(617, 1265)(618, 1266)(619, 1267)(620, 1268)(621, 1269)(622, 1270)(623, 1271)(624, 1272)(625, 1273)(626, 1274)(627, 1275)(628, 1276)(629, 1277)(630, 1278)(631, 1279)(632, 1280)(633, 1281)(634, 1282)(635, 1283)(636, 1284)(637, 1285)(638, 1286)(639, 1287)(640, 1288)(641, 1289)(642, 1290)(643, 1291)(644, 1292)(645, 1293)(646, 1294)(647, 1295)(648, 1296)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3218
Graph:: simple bipartite
	v = 378 e = 648 f = 216
	degree seq :: [ 2^324, 12^54 ]

E28.3223 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = (((C3 x C3 x C3) : C3) : C2) : C2 (small group id <324, 39>)
Aut   = $<648, 299>$ (small group id <648, 299>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y3^6, Y1^6, Y3 * Y1 * Y3^-2 * Y1^-1 * Y3, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^2 * Y1 * Y3 * Y1 * Y3, (Y3 * Y1^-1 * Y3^-1 * Y1^-1)^3, Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y3 * Y1^2 * Y3 * Y1^2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2, (Y3^-1 * Y1^-1)^6, Y3 * Y1^-2 * Y3 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-2 ]
Map:: polytopal
	R = (1, 325, 2, 326, 5, 329, 11, 335, 10, 334, 4, 328)(3, 327, 7, 331, 15, 339, 29, 353, 18, 342, 8, 332)(6, 330, 13, 337, 25, 349, 48, 372, 28, 352, 14, 338)(9, 333, 19, 343, 36, 360, 68, 392, 39, 363, 20, 344)(12, 336, 23, 347, 44, 368, 83, 407, 47, 371, 24, 348)(16, 340, 31, 355, 58, 382, 108, 432, 61, 385, 32, 356)(17, 341, 33, 357, 62, 386, 113, 437, 65, 389, 34, 358)(21, 345, 40, 364, 75, 399, 128, 452, 78, 402, 41, 365)(22, 346, 42, 366, 79, 403, 133, 457, 82, 406, 43, 367)(26, 350, 50, 374, 93, 417, 155, 479, 96, 420, 51, 375)(27, 351, 52, 376, 97, 421, 158, 482, 100, 424, 53, 377)(30, 354, 56, 380, 84, 408, 141, 465, 107, 431, 57, 381)(35, 359, 66, 390, 89, 413, 150, 474, 120, 444, 67, 391)(37, 361, 70, 394, 123, 447, 184, 508, 124, 448, 71, 395)(38, 362, 72, 396, 125, 449, 185, 509, 126, 450, 73, 397)(45, 369, 85, 409, 142, 466, 204, 528, 145, 469, 86, 410)(46, 370, 87, 411, 146, 470, 207, 531, 149, 473, 88, 412)(49, 373, 91, 415, 134, 458, 122, 446, 69, 393, 92, 416)(54, 378, 101, 425, 139, 463, 127, 451, 74, 398, 102, 426)(55, 379, 103, 427, 163, 487, 221, 545, 166, 490, 104, 428)(59, 383, 110, 434, 171, 495, 199, 523, 143, 467, 99, 423)(60, 384, 111, 435, 172, 496, 195, 519, 144, 468, 95, 419)(63, 387, 115, 439, 176, 500, 198, 522, 147, 471, 98, 422)(64, 388, 116, 440, 177, 501, 194, 518, 148, 472, 94, 418)(76, 400, 129, 453, 188, 512, 244, 568, 189, 513, 130, 454)(77, 401, 131, 455, 190, 514, 245, 569, 191, 515, 132, 456)(80, 404, 135, 459, 193, 517, 248, 572, 196, 520, 136, 460)(81, 405, 137, 461, 197, 521, 251, 575, 200, 524, 138, 462)(90, 414, 151, 475, 211, 535, 264, 588, 214, 538, 152, 476)(105, 429, 157, 481, 217, 541, 266, 590, 220, 544, 160, 484)(106, 430, 167, 491, 226, 550, 274, 598, 227, 551, 168, 492)(109, 433, 170, 494, 222, 546, 175, 499, 114, 438, 162, 486)(112, 436, 173, 497, 225, 549, 178, 502, 117, 441, 154, 478)(118, 442, 156, 480, 216, 540, 265, 589, 219, 543, 159, 483)(119, 443, 179, 503, 234, 558, 281, 605, 235, 559, 180, 504)(121, 445, 181, 505, 236, 560, 282, 606, 237, 561, 182, 506)(140, 464, 201, 525, 254, 578, 299, 623, 257, 581, 202, 526)(153, 477, 206, 530, 260, 584, 301, 625, 263, 587, 209, 533)(161, 485, 205, 529, 259, 583, 300, 624, 262, 586, 208, 532)(164, 488, 223, 547, 272, 596, 296, 620, 255, 579, 218, 542)(165, 489, 224, 548, 273, 597, 293, 617, 256, 580, 215, 539)(169, 493, 228, 552, 277, 601, 291, 615, 258, 582, 213, 537)(174, 498, 231, 555, 278, 602, 290, 614, 261, 585, 212, 536)(183, 507, 238, 562, 283, 607, 312, 636, 284, 608, 239, 563)(186, 510, 240, 564, 285, 609, 313, 637, 286, 610, 241, 565)(187, 511, 242, 566, 287, 611, 314, 638, 288, 612, 243, 567)(192, 516, 246, 570, 289, 613, 315, 639, 292, 616, 247, 571)(203, 527, 250, 574, 295, 619, 317, 641, 298, 622, 253, 577)(210, 534, 249, 573, 294, 618, 316, 640, 297, 621, 252, 576)(229, 553, 270, 594, 302, 626, 321, 645, 309, 633, 276, 600)(230, 554, 268, 592, 303, 627, 319, 643, 308, 632, 275, 599)(232, 556, 269, 593, 304, 628, 320, 644, 310, 634, 279, 603)(233, 557, 267, 591, 305, 629, 318, 642, 311, 635, 280, 604)(271, 595, 307, 631, 323, 647, 324, 648, 322, 646, 306, 630)(649, 973)(650, 974)(651, 975)(652, 976)(653, 977)(654, 978)(655, 979)(656, 980)(657, 981)(658, 982)(659, 983)(660, 984)(661, 985)(662, 986)(663, 987)(664, 988)(665, 989)(666, 990)(667, 991)(668, 992)(669, 993)(670, 994)(671, 995)(672, 996)(673, 997)(674, 998)(675, 999)(676, 1000)(677, 1001)(678, 1002)(679, 1003)(680, 1004)(681, 1005)(682, 1006)(683, 1007)(684, 1008)(685, 1009)(686, 1010)(687, 1011)(688, 1012)(689, 1013)(690, 1014)(691, 1015)(692, 1016)(693, 1017)(694, 1018)(695, 1019)(696, 1020)(697, 1021)(698, 1022)(699, 1023)(700, 1024)(701, 1025)(702, 1026)(703, 1027)(704, 1028)(705, 1029)(706, 1030)(707, 1031)(708, 1032)(709, 1033)(710, 1034)(711, 1035)(712, 1036)(713, 1037)(714, 1038)(715, 1039)(716, 1040)(717, 1041)(718, 1042)(719, 1043)(720, 1044)(721, 1045)(722, 1046)(723, 1047)(724, 1048)(725, 1049)(726, 1050)(727, 1051)(728, 1052)(729, 1053)(730, 1054)(731, 1055)(732, 1056)(733, 1057)(734, 1058)(735, 1059)(736, 1060)(737, 1061)(738, 1062)(739, 1063)(740, 1064)(741, 1065)(742, 1066)(743, 1067)(744, 1068)(745, 1069)(746, 1070)(747, 1071)(748, 1072)(749, 1073)(750, 1074)(751, 1075)(752, 1076)(753, 1077)(754, 1078)(755, 1079)(756, 1080)(757, 1081)(758, 1082)(759, 1083)(760, 1084)(761, 1085)(762, 1086)(763, 1087)(764, 1088)(765, 1089)(766, 1090)(767, 1091)(768, 1092)(769, 1093)(770, 1094)(771, 1095)(772, 1096)(773, 1097)(774, 1098)(775, 1099)(776, 1100)(777, 1101)(778, 1102)(779, 1103)(780, 1104)(781, 1105)(782, 1106)(783, 1107)(784, 1108)(785, 1109)(786, 1110)(787, 1111)(788, 1112)(789, 1113)(790, 1114)(791, 1115)(792, 1116)(793, 1117)(794, 1118)(795, 1119)(796, 1120)(797, 1121)(798, 1122)(799, 1123)(800, 1124)(801, 1125)(802, 1126)(803, 1127)(804, 1128)(805, 1129)(806, 1130)(807, 1131)(808, 1132)(809, 1133)(810, 1134)(811, 1135)(812, 1136)(813, 1137)(814, 1138)(815, 1139)(816, 1140)(817, 1141)(818, 1142)(819, 1143)(820, 1144)(821, 1145)(822, 1146)(823, 1147)(824, 1148)(825, 1149)(826, 1150)(827, 1151)(828, 1152)(829, 1153)(830, 1154)(831, 1155)(832, 1156)(833, 1157)(834, 1158)(835, 1159)(836, 1160)(837, 1161)(838, 1162)(839, 1163)(840, 1164)(841, 1165)(842, 1166)(843, 1167)(844, 1168)(845, 1169)(846, 1170)(847, 1171)(848, 1172)(849, 1173)(850, 1174)(851, 1175)(852, 1176)(853, 1177)(854, 1178)(855, 1179)(856, 1180)(857, 1181)(858, 1182)(859, 1183)(860, 1184)(861, 1185)(862, 1186)(863, 1187)(864, 1188)(865, 1189)(866, 1190)(867, 1191)(868, 1192)(869, 1193)(870, 1194)(871, 1195)(872, 1196)(873, 1197)(874, 1198)(875, 1199)(876, 1200)(877, 1201)(878, 1202)(879, 1203)(880, 1204)(881, 1205)(882, 1206)(883, 1207)(884, 1208)(885, 1209)(886, 1210)(887, 1211)(888, 1212)(889, 1213)(890, 1214)(891, 1215)(892, 1216)(893, 1217)(894, 1218)(895, 1219)(896, 1220)(897, 1221)(898, 1222)(899, 1223)(900, 1224)(901, 1225)(902, 1226)(903, 1227)(904, 1228)(905, 1229)(906, 1230)(907, 1231)(908, 1232)(909, 1233)(910, 1234)(911, 1235)(912, 1236)(913, 1237)(914, 1238)(915, 1239)(916, 1240)(917, 1241)(918, 1242)(919, 1243)(920, 1244)(921, 1245)(922, 1246)(923, 1247)(924, 1248)(925, 1249)(926, 1250)(927, 1251)(928, 1252)(929, 1253)(930, 1254)(931, 1255)(932, 1256)(933, 1257)(934, 1258)(935, 1259)(936, 1260)(937, 1261)(938, 1262)(939, 1263)(940, 1264)(941, 1265)(942, 1266)(943, 1267)(944, 1268)(945, 1269)(946, 1270)(947, 1271)(948, 1272)(949, 1273)(950, 1274)(951, 1275)(952, 1276)(953, 1277)(954, 1278)(955, 1279)(956, 1280)(957, 1281)(958, 1282)(959, 1283)(960, 1284)(961, 1285)(962, 1286)(963, 1287)(964, 1288)(965, 1289)(966, 1290)(967, 1291)(968, 1292)(969, 1293)(970, 1294)(971, 1295)(972, 1296)
	L = (1, 651)(2, 654)(3, 649)(4, 657)(5, 660)(6, 650)(7, 664)(8, 665)(9, 652)(10, 669)(11, 670)(12, 653)(13, 674)(14, 675)(15, 678)(16, 655)(17, 656)(18, 683)(19, 685)(20, 686)(21, 658)(22, 659)(23, 693)(24, 694)(25, 697)(26, 661)(27, 662)(28, 702)(29, 703)(30, 663)(31, 707)(32, 708)(33, 711)(34, 712)(35, 666)(36, 717)(37, 667)(38, 668)(39, 722)(40, 724)(41, 725)(42, 728)(43, 729)(44, 732)(45, 671)(46, 672)(47, 737)(48, 738)(49, 673)(50, 742)(51, 743)(52, 746)(53, 747)(54, 676)(55, 677)(56, 753)(57, 754)(58, 757)(59, 679)(60, 680)(61, 760)(62, 762)(63, 681)(64, 682)(65, 765)(66, 766)(67, 767)(68, 769)(69, 684)(70, 764)(71, 759)(72, 763)(73, 758)(74, 687)(75, 755)(76, 688)(77, 689)(78, 768)(79, 782)(80, 690)(81, 691)(82, 787)(83, 788)(84, 692)(85, 791)(86, 792)(87, 795)(88, 796)(89, 695)(90, 696)(91, 801)(92, 802)(93, 804)(94, 698)(95, 699)(96, 805)(97, 807)(98, 700)(99, 701)(100, 808)(101, 809)(102, 810)(103, 812)(104, 813)(105, 704)(106, 705)(107, 723)(108, 817)(109, 706)(110, 721)(111, 719)(112, 709)(113, 822)(114, 710)(115, 720)(116, 718)(117, 713)(118, 714)(119, 715)(120, 726)(121, 716)(122, 831)(123, 827)(124, 815)(125, 828)(126, 816)(127, 834)(128, 835)(129, 819)(130, 820)(131, 824)(132, 825)(133, 840)(134, 727)(135, 842)(136, 843)(137, 846)(138, 847)(139, 730)(140, 731)(141, 851)(142, 853)(143, 733)(144, 734)(145, 854)(146, 856)(147, 735)(148, 736)(149, 857)(150, 858)(151, 860)(152, 861)(153, 739)(154, 740)(155, 863)(156, 741)(157, 744)(158, 866)(159, 745)(160, 748)(161, 749)(162, 750)(163, 870)(164, 751)(165, 752)(166, 873)(167, 772)(168, 774)(169, 756)(170, 877)(171, 777)(172, 778)(173, 878)(174, 761)(175, 880)(176, 779)(177, 780)(178, 881)(179, 771)(180, 773)(181, 879)(182, 876)(183, 770)(184, 872)(185, 871)(186, 775)(187, 776)(188, 888)(189, 886)(190, 889)(191, 887)(192, 781)(193, 897)(194, 783)(195, 784)(196, 898)(197, 900)(198, 785)(199, 786)(200, 901)(201, 903)(202, 904)(203, 789)(204, 906)(205, 790)(206, 793)(207, 909)(208, 794)(209, 797)(210, 798)(211, 913)(212, 799)(213, 800)(214, 914)(215, 803)(216, 915)(217, 916)(218, 806)(219, 917)(220, 918)(221, 919)(222, 811)(223, 833)(224, 832)(225, 814)(226, 923)(227, 924)(228, 830)(229, 818)(230, 821)(231, 829)(232, 823)(233, 826)(234, 928)(235, 927)(236, 929)(237, 922)(238, 837)(239, 839)(240, 836)(241, 838)(242, 920)(243, 921)(244, 925)(245, 926)(246, 938)(247, 939)(248, 941)(249, 841)(250, 844)(251, 944)(252, 845)(253, 848)(254, 948)(255, 849)(256, 850)(257, 949)(258, 852)(259, 950)(260, 951)(261, 855)(262, 952)(263, 953)(264, 954)(265, 859)(266, 862)(267, 864)(268, 865)(269, 867)(270, 868)(271, 869)(272, 890)(273, 891)(274, 885)(275, 874)(276, 875)(277, 892)(278, 893)(279, 883)(280, 882)(281, 884)(282, 955)(283, 956)(284, 959)(285, 957)(286, 958)(287, 961)(288, 960)(289, 964)(290, 894)(291, 895)(292, 965)(293, 896)(294, 966)(295, 967)(296, 899)(297, 968)(298, 969)(299, 970)(300, 902)(301, 905)(302, 907)(303, 908)(304, 910)(305, 911)(306, 912)(307, 930)(308, 931)(309, 933)(310, 934)(311, 932)(312, 936)(313, 935)(314, 971)(315, 972)(316, 937)(317, 940)(318, 942)(319, 943)(320, 945)(321, 946)(322, 947)(323, 962)(324, 963)(325, 973)(326, 974)(327, 975)(328, 976)(329, 977)(330, 978)(331, 979)(332, 980)(333, 981)(334, 982)(335, 983)(336, 984)(337, 985)(338, 986)(339, 987)(340, 988)(341, 989)(342, 990)(343, 991)(344, 992)(345, 993)(346, 994)(347, 995)(348, 996)(349, 997)(350, 998)(351, 999)(352, 1000)(353, 1001)(354, 1002)(355, 1003)(356, 1004)(357, 1005)(358, 1006)(359, 1007)(360, 1008)(361, 1009)(362, 1010)(363, 1011)(364, 1012)(365, 1013)(366, 1014)(367, 1015)(368, 1016)(369, 1017)(370, 1018)(371, 1019)(372, 1020)(373, 1021)(374, 1022)(375, 1023)(376, 1024)(377, 1025)(378, 1026)(379, 1027)(380, 1028)(381, 1029)(382, 1030)(383, 1031)(384, 1032)(385, 1033)(386, 1034)(387, 1035)(388, 1036)(389, 1037)(390, 1038)(391, 1039)(392, 1040)(393, 1041)(394, 1042)(395, 1043)(396, 1044)(397, 1045)(398, 1046)(399, 1047)(400, 1048)(401, 1049)(402, 1050)(403, 1051)(404, 1052)(405, 1053)(406, 1054)(407, 1055)(408, 1056)(409, 1057)(410, 1058)(411, 1059)(412, 1060)(413, 1061)(414, 1062)(415, 1063)(416, 1064)(417, 1065)(418, 1066)(419, 1067)(420, 1068)(421, 1069)(422, 1070)(423, 1071)(424, 1072)(425, 1073)(426, 1074)(427, 1075)(428, 1076)(429, 1077)(430, 1078)(431, 1079)(432, 1080)(433, 1081)(434, 1082)(435, 1083)(436, 1084)(437, 1085)(438, 1086)(439, 1087)(440, 1088)(441, 1089)(442, 1090)(443, 1091)(444, 1092)(445, 1093)(446, 1094)(447, 1095)(448, 1096)(449, 1097)(450, 1098)(451, 1099)(452, 1100)(453, 1101)(454, 1102)(455, 1103)(456, 1104)(457, 1105)(458, 1106)(459, 1107)(460, 1108)(461, 1109)(462, 1110)(463, 1111)(464, 1112)(465, 1113)(466, 1114)(467, 1115)(468, 1116)(469, 1117)(470, 1118)(471, 1119)(472, 1120)(473, 1121)(474, 1122)(475, 1123)(476, 1124)(477, 1125)(478, 1126)(479, 1127)(480, 1128)(481, 1129)(482, 1130)(483, 1131)(484, 1132)(485, 1133)(486, 1134)(487, 1135)(488, 1136)(489, 1137)(490, 1138)(491, 1139)(492, 1140)(493, 1141)(494, 1142)(495, 1143)(496, 1144)(497, 1145)(498, 1146)(499, 1147)(500, 1148)(501, 1149)(502, 1150)(503, 1151)(504, 1152)(505, 1153)(506, 1154)(507, 1155)(508, 1156)(509, 1157)(510, 1158)(511, 1159)(512, 1160)(513, 1161)(514, 1162)(515, 1163)(516, 1164)(517, 1165)(518, 1166)(519, 1167)(520, 1168)(521, 1169)(522, 1170)(523, 1171)(524, 1172)(525, 1173)(526, 1174)(527, 1175)(528, 1176)(529, 1177)(530, 1178)(531, 1179)(532, 1180)(533, 1181)(534, 1182)(535, 1183)(536, 1184)(537, 1185)(538, 1186)(539, 1187)(540, 1188)(541, 1189)(542, 1190)(543, 1191)(544, 1192)(545, 1193)(546, 1194)(547, 1195)(548, 1196)(549, 1197)(550, 1198)(551, 1199)(552, 1200)(553, 1201)(554, 1202)(555, 1203)(556, 1204)(557, 1205)(558, 1206)(559, 1207)(560, 1208)(561, 1209)(562, 1210)(563, 1211)(564, 1212)(565, 1213)(566, 1214)(567, 1215)(568, 1216)(569, 1217)(570, 1218)(571, 1219)(572, 1220)(573, 1221)(574, 1222)(575, 1223)(576, 1224)(577, 1225)(578, 1226)(579, 1227)(580, 1228)(581, 1229)(582, 1230)(583, 1231)(584, 1232)(585, 1233)(586, 1234)(587, 1235)(588, 1236)(589, 1237)(590, 1238)(591, 1239)(592, 1240)(593, 1241)(594, 1242)(595, 1243)(596, 1244)(597, 1245)(598, 1246)(599, 1247)(600, 1248)(601, 1249)(602, 1250)(603, 1251)(604, 1252)(605, 1253)(606, 1254)(607, 1255)(608, 1256)(609, 1257)(610, 1258)(611, 1259)(612, 1260)(613, 1261)(614, 1262)(615, 1263)(616, 1264)(617, 1265)(618, 1266)(619, 1267)(620, 1268)(621, 1269)(622, 1270)(623, 1271)(624, 1272)(625, 1273)(626, 1274)(627, 1275)(628, 1276)(629, 1277)(630, 1278)(631, 1279)(632, 1280)(633, 1281)(634, 1282)(635, 1283)(636, 1284)(637, 1285)(638, 1286)(639, 1287)(640, 1288)(641, 1289)(642, 1290)(643, 1291)(644, 1292)(645, 1293)(646, 1294)(647, 1295)(648, 1296)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3219
Graph:: simple bipartite
	v = 378 e = 648 f = 216
	degree seq :: [ 2^324, 12^54 ]

E28.3224 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 6})
Quotient :: regular
Aut^+ = C2 x (((C9 x C3) : C3) : C2) (small group id <324, 73>)
Aut   = $<648, 301>$ (small group id <648, 301>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, T1^6, T1^2 * T2 * T1^-3 * T2 * T1, (T2 * T1^-1)^6, (T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1)^3, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 22, 18, 8)(6, 13, 25, 21, 28, 14)(9, 19, 24, 12, 23, 20)(16, 30, 47, 34, 50, 31)(17, 32, 46, 29, 45, 33)(26, 40, 63, 44, 66, 41)(27, 42, 62, 39, 61, 43)(35, 53, 58, 37, 57, 54)(36, 55, 60, 38, 59, 56)(48, 72, 101, 76, 86, 73)(49, 74, 100, 71, 99, 75)(51, 77, 98, 69, 97, 78)(52, 79, 93, 70, 90, 64)(65, 91, 120, 89, 119, 92)(67, 94, 118, 87, 117, 95)(68, 96, 80, 88, 112, 83)(81, 108, 114, 84, 113, 109)(82, 110, 116, 85, 115, 111)(102, 132, 169, 131, 168, 133)(103, 134, 167, 129, 166, 135)(104, 136, 105, 130, 163, 127)(106, 137, 165, 128, 164, 138)(107, 139, 155, 121, 154, 140)(122, 156, 195, 152, 194, 157)(123, 158, 124, 153, 191, 150)(125, 159, 193, 151, 192, 160)(126, 161, 185, 145, 184, 162)(141, 179, 187, 146, 186, 180)(142, 181, 143, 147, 188, 148)(144, 182, 190, 149, 189, 183)(170, 212, 256, 210, 233, 213)(171, 214, 172, 211, 253, 208)(173, 215, 255, 209, 254, 216)(174, 217, 250, 205, 249, 218)(175, 219, 252, 206, 251, 220)(176, 221, 177, 207, 239, 196)(178, 222, 237, 197, 240, 198)(199, 241, 286, 238, 285, 242)(200, 243, 282, 234, 281, 244)(201, 245, 284, 235, 283, 246)(202, 247, 203, 236, 273, 227)(204, 248, 223, 228, 274, 229)(224, 267, 276, 230, 275, 268)(225, 269, 278, 231, 277, 270)(226, 271, 280, 232, 279, 272)(257, 293, 320, 304, 321, 292)(258, 291, 324, 301, 319, 290)(259, 289, 313, 302, 323, 305)(260, 296, 261, 303, 312, 297)(262, 295, 263, 298, 311, 299)(264, 294, 318, 300, 322, 306)(265, 307, 316, 287, 317, 308)(266, 309, 314, 288, 315, 310)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 29)(18, 34)(19, 35)(20, 36)(23, 37)(24, 38)(25, 39)(28, 44)(30, 48)(31, 49)(32, 51)(33, 52)(40, 64)(41, 65)(42, 67)(43, 68)(45, 69)(46, 70)(47, 71)(50, 76)(53, 80)(54, 81)(55, 82)(56, 72)(57, 83)(58, 84)(59, 85)(60, 86)(61, 87)(62, 88)(63, 89)(66, 93)(73, 102)(74, 103)(75, 104)(77, 105)(78, 106)(79, 107)(90, 121)(91, 122)(92, 123)(94, 124)(95, 125)(96, 126)(97, 127)(98, 128)(99, 129)(100, 130)(101, 131)(108, 141)(109, 142)(110, 143)(111, 144)(112, 145)(113, 146)(114, 147)(115, 148)(116, 149)(117, 150)(118, 151)(119, 152)(120, 153)(132, 170)(133, 171)(134, 172)(135, 173)(136, 174)(137, 175)(138, 176)(139, 177)(140, 178)(154, 196)(155, 197)(156, 198)(157, 199)(158, 200)(159, 201)(160, 202)(161, 203)(162, 204)(163, 205)(164, 206)(165, 207)(166, 208)(167, 209)(168, 210)(169, 211)(179, 223)(180, 224)(181, 225)(182, 226)(183, 212)(184, 227)(185, 228)(186, 229)(187, 230)(188, 231)(189, 232)(190, 233)(191, 234)(192, 235)(193, 236)(194, 237)(195, 238)(213, 257)(214, 258)(215, 259)(216, 260)(217, 261)(218, 262)(219, 263)(220, 264)(221, 265)(222, 266)(239, 287)(240, 288)(241, 289)(242, 290)(243, 291)(244, 292)(245, 293)(246, 294)(247, 295)(248, 296)(249, 297)(250, 298)(251, 299)(252, 300)(253, 301)(254, 302)(255, 303)(256, 304)(267, 305)(268, 310)(269, 309)(270, 308)(271, 307)(272, 306)(273, 311)(274, 312)(275, 313)(276, 314)(277, 315)(278, 316)(279, 317)(280, 318)(281, 319)(282, 320)(283, 321)(284, 322)(285, 323)(286, 324)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible
Dual of E28.3225
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 54 e = 162 f = 54
	degree seq :: [ 6^54 ]

E28.3225 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 6})
Quotient :: regular
Aut^+ = C2 x (((C9 x C3) : C3) : C2) (small group id <324, 73>)
Aut   = $<648, 301>$ (small group id <648, 301>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T1^-2 * T2 * T1^-1 * T2)^2, (T2 * T1^-2 * T2 * T1^-1)^2, (T2 * T1^-1)^6, (T2 * T1^-1 * T2 * T1^2 * T2 * T1^-1)^2, (T1^-2 * T2 * T1^2 * T2)^3 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 29, 18, 8)(6, 13, 25, 48, 28, 14)(9, 19, 36, 66, 39, 20)(12, 23, 44, 78, 47, 24)(16, 31, 58, 98, 61, 32)(17, 33, 62, 80, 45, 34)(21, 40, 71, 112, 73, 41)(22, 42, 74, 115, 77, 43)(26, 50, 38, 70, 88, 51)(27, 52, 89, 117, 75, 53)(30, 56, 95, 140, 97, 57)(35, 65, 105, 130, 85, 49)(37, 68, 76, 118, 111, 69)(46, 81, 123, 114, 72, 82)(54, 92, 135, 167, 121, 79)(55, 93, 137, 181, 139, 94)(59, 86, 64, 91, 125, 99)(60, 100, 145, 183, 138, 101)(63, 87, 131, 177, 148, 104)(67, 108, 152, 198, 153, 109)(83, 126, 171, 210, 160, 116)(84, 127, 173, 223, 174, 128)(90, 122, 168, 219, 178, 134)(96, 142, 187, 150, 106, 132)(102, 147, 193, 240, 186, 141)(103, 129, 175, 226, 180, 136)(107, 151, 197, 245, 192, 146)(110, 154, 201, 244, 190, 144)(113, 119, 163, 213, 205, 157)(120, 164, 215, 266, 216, 165)(124, 161, 211, 262, 220, 170)(133, 166, 217, 269, 222, 172)(143, 189, 221, 268, 234, 182)(149, 184, 236, 287, 248, 195)(155, 203, 255, 298, 252, 199)(156, 204, 256, 299, 254, 202)(158, 206, 257, 263, 212, 162)(159, 207, 258, 300, 259, 208)(169, 209, 260, 303, 265, 214)(176, 228, 264, 302, 276, 224)(179, 225, 277, 250, 200, 231)(185, 237, 289, 301, 261, 238)(188, 235, 286, 305, 274, 242)(191, 239, 290, 304, 273, 243)(194, 247, 294, 307, 279, 227)(196, 249, 295, 306, 280, 229)(218, 271, 251, 296, 309, 267)(230, 281, 253, 297, 311, 270)(232, 282, 246, 292, 312, 272)(233, 283, 308, 323, 317, 284)(241, 285, 310, 324, 318, 288)(275, 313, 321, 320, 293, 314)(278, 315, 322, 319, 291, 316)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 35)(19, 37)(20, 38)(23, 45)(24, 46)(25, 49)(28, 54)(29, 55)(31, 59)(32, 60)(33, 63)(34, 64)(36, 67)(39, 56)(40, 72)(41, 58)(42, 75)(43, 76)(44, 79)(47, 83)(48, 84)(50, 86)(51, 87)(52, 90)(53, 91)(57, 96)(61, 102)(62, 103)(65, 106)(66, 107)(68, 99)(69, 110)(70, 101)(71, 113)(73, 108)(74, 116)(77, 119)(78, 120)(80, 122)(81, 124)(82, 125)(85, 129)(88, 132)(89, 133)(92, 136)(93, 138)(94, 131)(95, 141)(97, 143)(98, 144)(100, 146)(104, 127)(105, 149)(109, 147)(111, 155)(112, 156)(114, 158)(115, 159)(117, 161)(118, 162)(121, 166)(123, 169)(126, 172)(128, 168)(130, 176)(134, 164)(135, 179)(137, 182)(139, 184)(140, 185)(142, 188)(145, 191)(148, 194)(150, 196)(151, 190)(152, 199)(153, 200)(154, 202)(157, 203)(160, 209)(163, 214)(165, 211)(167, 218)(170, 207)(171, 221)(173, 224)(174, 225)(175, 227)(177, 229)(178, 230)(180, 232)(181, 233)(183, 235)(186, 239)(187, 241)(189, 243)(192, 237)(193, 246)(195, 247)(197, 250)(198, 251)(201, 253)(204, 212)(205, 248)(206, 208)(210, 261)(213, 264)(215, 267)(216, 268)(217, 270)(219, 272)(220, 273)(222, 274)(223, 275)(226, 278)(228, 280)(231, 281)(234, 285)(236, 288)(238, 286)(240, 291)(242, 283)(244, 292)(245, 293)(249, 284)(252, 297)(254, 296)(255, 295)(256, 287)(257, 294)(258, 301)(259, 302)(260, 304)(262, 305)(263, 306)(265, 307)(266, 308)(269, 310)(271, 312)(276, 315)(277, 316)(279, 313)(282, 314)(289, 319)(290, 320)(298, 318)(299, 317)(300, 321)(303, 322)(309, 324)(311, 323)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible
Dual of E28.3224
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 54 e = 162 f = 54
	degree seq :: [ 6^54 ]

E28.3226 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 6})
Quotient :: edge
Aut^+ = C2 x (((C9 x C3) : C3) : C2) (small group id <324, 73>)
Aut   = $<648, 301>$ (small group id <648, 301>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T2^-1 * T1 * T2^-2)^2, (T2^-1 * T1)^6, (T2^-2 * T1 * T2 * T1 * T2 * T1)^2, T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 ]
Map:: polytopal
	R = (1, 3, 8, 18, 10, 4)(2, 5, 12, 25, 14, 6)(7, 15, 30, 21, 32, 16)(9, 19, 34, 17, 33, 20)(11, 22, 38, 28, 40, 23)(13, 26, 42, 24, 41, 27)(29, 45, 69, 50, 71, 46)(31, 48, 73, 47, 72, 49)(35, 53, 77, 51, 76, 54)(36, 55, 79, 52, 78, 56)(37, 57, 83, 62, 85, 58)(39, 60, 87, 59, 86, 61)(43, 65, 91, 63, 90, 66)(44, 67, 93, 64, 92, 68)(70, 98, 128, 97, 127, 99)(74, 102, 132, 100, 131, 103)(75, 104, 80, 101, 133, 105)(81, 108, 138, 106, 137, 109)(82, 110, 140, 107, 139, 111)(84, 113, 146, 112, 145, 114)(88, 117, 150, 115, 149, 118)(89, 119, 94, 116, 151, 120)(95, 123, 156, 121, 155, 124)(96, 125, 158, 122, 157, 126)(129, 165, 206, 163, 205, 166)(130, 167, 134, 164, 207, 168)(135, 171, 211, 169, 210, 172)(136, 173, 213, 170, 212, 174)(141, 179, 219, 175, 218, 180)(142, 181, 143, 176, 220, 177)(144, 182, 222, 178, 221, 183)(147, 186, 228, 184, 227, 187)(148, 188, 152, 185, 229, 189)(153, 192, 233, 190, 232, 193)(154, 194, 235, 191, 234, 195)(159, 200, 241, 196, 240, 201)(160, 202, 161, 197, 242, 198)(162, 203, 244, 199, 243, 204)(208, 251, 298, 249, 297, 252)(209, 253, 300, 250, 299, 254)(214, 259, 302, 255, 301, 260)(215, 261, 216, 256, 303, 257)(217, 262, 223, 258, 304, 263)(224, 267, 306, 264, 305, 268)(225, 269, 308, 265, 307, 270)(226, 271, 310, 266, 309, 272)(230, 275, 312, 273, 311, 276)(231, 277, 314, 274, 313, 278)(236, 283, 316, 279, 315, 284)(237, 285, 238, 280, 317, 281)(239, 286, 245, 282, 318, 287)(246, 291, 320, 288, 319, 292)(247, 293, 322, 289, 321, 294)(248, 295, 324, 290, 323, 296)(325, 326)(327, 331)(328, 333)(329, 335)(330, 337)(332, 341)(334, 345)(336, 348)(338, 352)(339, 353)(340, 355)(342, 349)(343, 359)(344, 360)(346, 361)(347, 363)(350, 367)(351, 368)(354, 371)(356, 374)(357, 375)(358, 376)(362, 383)(364, 386)(365, 387)(366, 388)(369, 392)(370, 394)(372, 398)(373, 399)(377, 404)(378, 405)(379, 406)(380, 381)(382, 408)(384, 412)(385, 413)(389, 418)(390, 419)(391, 420)(393, 421)(395, 417)(396, 424)(397, 425)(400, 429)(401, 430)(402, 431)(403, 409)(407, 436)(410, 439)(411, 440)(414, 444)(415, 445)(416, 446)(422, 453)(423, 454)(426, 458)(427, 459)(428, 460)(432, 465)(433, 466)(434, 467)(435, 468)(437, 471)(438, 472)(441, 476)(442, 477)(443, 478)(447, 483)(448, 484)(449, 485)(450, 486)(451, 487)(452, 488)(455, 492)(456, 493)(457, 494)(461, 499)(462, 500)(463, 501)(464, 502)(469, 508)(470, 509)(473, 513)(474, 514)(475, 515)(479, 520)(480, 521)(481, 522)(482, 523)(489, 528)(490, 532)(491, 533)(495, 538)(496, 539)(497, 540)(498, 541)(503, 547)(504, 548)(505, 549)(506, 550)(507, 510)(511, 554)(512, 555)(516, 560)(517, 561)(518, 562)(519, 563)(524, 569)(525, 570)(526, 571)(527, 572)(529, 568)(530, 573)(531, 574)(534, 579)(535, 580)(536, 581)(537, 582)(542, 587)(543, 588)(544, 589)(545, 590)(546, 551)(552, 597)(553, 598)(556, 603)(557, 604)(558, 605)(559, 606)(564, 611)(565, 612)(566, 613)(567, 614)(575, 607)(576, 602)(577, 601)(578, 600)(583, 599)(584, 615)(585, 610)(586, 609)(591, 608)(592, 620)(593, 619)(594, 618)(595, 617)(596, 616)(621, 639)(622, 638)(623, 637)(624, 636)(625, 635)(626, 643)(627, 642)(628, 641)(629, 640)(630, 648)(631, 647)(632, 646)(633, 645)(634, 644)
	L = (1, 325)(2, 326)(3, 327)(4, 328)(5, 329)(6, 330)(7, 331)(8, 332)(9, 333)(10, 334)(11, 335)(12, 336)(13, 337)(14, 338)(15, 339)(16, 340)(17, 341)(18, 342)(19, 343)(20, 344)(21, 345)(22, 346)(23, 347)(24, 348)(25, 349)(26, 350)(27, 351)(28, 352)(29, 353)(30, 354)(31, 355)(32, 356)(33, 357)(34, 358)(35, 359)(36, 360)(37, 361)(38, 362)(39, 363)(40, 364)(41, 365)(42, 366)(43, 367)(44, 368)(45, 369)(46, 370)(47, 371)(48, 372)(49, 373)(50, 374)(51, 375)(52, 376)(53, 377)(54, 378)(55, 379)(56, 380)(57, 381)(58, 382)(59, 383)(60, 384)(61, 385)(62, 386)(63, 387)(64, 388)(65, 389)(66, 390)(67, 391)(68, 392)(69, 393)(70, 394)(71, 395)(72, 396)(73, 397)(74, 398)(75, 399)(76, 400)(77, 401)(78, 402)(79, 403)(80, 404)(81, 405)(82, 406)(83, 407)(84, 408)(85, 409)(86, 410)(87, 411)(88, 412)(89, 413)(90, 414)(91, 415)(92, 416)(93, 417)(94, 418)(95, 419)(96, 420)(97, 421)(98, 422)(99, 423)(100, 424)(101, 425)(102, 426)(103, 427)(104, 428)(105, 429)(106, 430)(107, 431)(108, 432)(109, 433)(110, 434)(111, 435)(112, 436)(113, 437)(114, 438)(115, 439)(116, 440)(117, 441)(118, 442)(119, 443)(120, 444)(121, 445)(122, 446)(123, 447)(124, 448)(125, 449)(126, 450)(127, 451)(128, 452)(129, 453)(130, 454)(131, 455)(132, 456)(133, 457)(134, 458)(135, 459)(136, 460)(137, 461)(138, 462)(139, 463)(140, 464)(141, 465)(142, 466)(143, 467)(144, 468)(145, 469)(146, 470)(147, 471)(148, 472)(149, 473)(150, 474)(151, 475)(152, 476)(153, 477)(154, 478)(155, 479)(156, 480)(157, 481)(158, 482)(159, 483)(160, 484)(161, 485)(162, 486)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.3230
Transitivity :: ET+
Graph:: simple bipartite
	v = 216 e = 324 f = 54
	degree seq :: [ 2^162, 6^54 ]

E28.3227 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 6})
Quotient :: edge
Aut^+ = C2 x (((C9 x C3) : C3) : C2) (small group id <324, 73>)
Aut   = $<648, 301>$ (small group id <648, 301>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T1 * T2^-2 * T1 * T2^-1)^2, (T2^-1 * T1)^6, (T2^-1 * T1 * T2^2 * T1 * T2^-1)^3 ]
Map:: polytopal
	R = (1, 3, 8, 18, 10, 4)(2, 5, 12, 25, 14, 6)(7, 15, 30, 57, 32, 16)(9, 19, 37, 69, 39, 20)(11, 22, 43, 76, 45, 23)(13, 26, 50, 88, 52, 27)(17, 33, 61, 100, 63, 34)(21, 40, 72, 114, 73, 41)(24, 46, 80, 122, 82, 47)(28, 53, 91, 136, 92, 54)(29, 55, 38, 70, 93, 56)(31, 58, 96, 140, 97, 59)(35, 64, 104, 148, 106, 65)(36, 66, 105, 149, 108, 67)(42, 74, 51, 89, 115, 75)(44, 77, 118, 162, 119, 78)(48, 83, 126, 170, 128, 84)(49, 85, 127, 171, 130, 86)(60, 98, 141, 188, 142, 99)(62, 101, 145, 112, 71, 102)(68, 109, 153, 201, 154, 110)(79, 120, 163, 214, 164, 121)(81, 123, 167, 134, 90, 124)(87, 131, 175, 227, 176, 132)(94, 129, 173, 224, 181, 137)(95, 133, 177, 229, 183, 138)(103, 146, 192, 246, 193, 147)(107, 151, 198, 207, 159, 116)(111, 155, 203, 209, 160, 117)(113, 150, 196, 249, 205, 157)(125, 168, 218, 271, 219, 169)(135, 172, 222, 274, 231, 179)(139, 184, 236, 288, 237, 185)(143, 182, 234, 285, 241, 189)(144, 186, 238, 289, 243, 190)(152, 199, 252, 299, 253, 200)(156, 204, 256, 295, 248, 195)(158, 206, 257, 297, 250, 197)(161, 210, 261, 305, 262, 211)(165, 208, 259, 302, 266, 215)(166, 212, 263, 306, 268, 216)(174, 225, 277, 316, 278, 226)(178, 230, 281, 312, 273, 221)(180, 232, 282, 314, 275, 223)(187, 233, 283, 255, 202, 239)(191, 244, 292, 320, 293, 245)(194, 242, 291, 319, 294, 247)(213, 258, 300, 280, 228, 264)(217, 269, 309, 324, 310, 270)(220, 267, 308, 323, 311, 272)(235, 286, 251, 298, 318, 287)(240, 290, 254, 296, 317, 284)(260, 303, 276, 315, 322, 304)(265, 307, 279, 313, 321, 301)(325, 326)(327, 331)(328, 333)(329, 335)(330, 337)(332, 341)(334, 345)(336, 348)(338, 352)(339, 353)(340, 355)(342, 359)(343, 360)(344, 362)(346, 366)(347, 368)(349, 372)(350, 373)(351, 375)(354, 378)(356, 384)(357, 376)(358, 386)(361, 392)(363, 370)(364, 395)(365, 367)(369, 403)(371, 405)(374, 411)(377, 414)(379, 398)(380, 409)(381, 418)(382, 419)(383, 413)(385, 423)(387, 427)(388, 421)(389, 429)(390, 399)(391, 431)(393, 435)(394, 402)(396, 437)(397, 433)(400, 440)(401, 441)(404, 445)(406, 449)(407, 443)(408, 451)(410, 453)(412, 457)(415, 459)(416, 455)(417, 448)(420, 463)(422, 456)(424, 467)(425, 468)(426, 439)(428, 471)(430, 474)(432, 476)(434, 444)(436, 480)(438, 482)(442, 485)(446, 489)(447, 490)(450, 493)(452, 496)(454, 498)(458, 502)(460, 504)(461, 501)(462, 506)(464, 510)(465, 511)(466, 508)(469, 515)(470, 509)(472, 518)(473, 519)(475, 521)(477, 524)(478, 526)(479, 483)(481, 523)(484, 532)(486, 536)(487, 537)(488, 534)(491, 541)(492, 535)(494, 544)(495, 545)(497, 547)(499, 550)(500, 552)(503, 549)(505, 557)(507, 559)(512, 564)(513, 562)(514, 566)(516, 542)(517, 568)(520, 569)(522, 575)(525, 578)(527, 579)(528, 571)(529, 555)(530, 572)(531, 582)(533, 584)(538, 589)(539, 587)(540, 591)(543, 593)(546, 594)(548, 600)(551, 603)(553, 604)(554, 596)(556, 597)(558, 608)(560, 611)(561, 592)(563, 610)(565, 595)(567, 586)(570, 590)(573, 606)(574, 620)(576, 605)(577, 622)(580, 601)(581, 598)(583, 625)(585, 628)(588, 627)(599, 637)(602, 639)(607, 631)(609, 632)(612, 633)(613, 630)(614, 624)(615, 626)(616, 629)(617, 640)(618, 638)(619, 636)(621, 635)(623, 634)(641, 648)(642, 647)(643, 646)(644, 645)
	L = (1, 325)(2, 326)(3, 327)(4, 328)(5, 329)(6, 330)(7, 331)(8, 332)(9, 333)(10, 334)(11, 335)(12, 336)(13, 337)(14, 338)(15, 339)(16, 340)(17, 341)(18, 342)(19, 343)(20, 344)(21, 345)(22, 346)(23, 347)(24, 348)(25, 349)(26, 350)(27, 351)(28, 352)(29, 353)(30, 354)(31, 355)(32, 356)(33, 357)(34, 358)(35, 359)(36, 360)(37, 361)(38, 362)(39, 363)(40, 364)(41, 365)(42, 366)(43, 367)(44, 368)(45, 369)(46, 370)(47, 371)(48, 372)(49, 373)(50, 374)(51, 375)(52, 376)(53, 377)(54, 378)(55, 379)(56, 380)(57, 381)(58, 382)(59, 383)(60, 384)(61, 385)(62, 386)(63, 387)(64, 388)(65, 389)(66, 390)(67, 391)(68, 392)(69, 393)(70, 394)(71, 395)(72, 396)(73, 397)(74, 398)(75, 399)(76, 400)(77, 401)(78, 402)(79, 403)(80, 404)(81, 405)(82, 406)(83, 407)(84, 408)(85, 409)(86, 410)(87, 411)(88, 412)(89, 413)(90, 414)(91, 415)(92, 416)(93, 417)(94, 418)(95, 419)(96, 420)(97, 421)(98, 422)(99, 423)(100, 424)(101, 425)(102, 426)(103, 427)(104, 428)(105, 429)(106, 430)(107, 431)(108, 432)(109, 433)(110, 434)(111, 435)(112, 436)(113, 437)(114, 438)(115, 439)(116, 440)(117, 441)(118, 442)(119, 443)(120, 444)(121, 445)(122, 446)(123, 447)(124, 448)(125, 449)(126, 450)(127, 451)(128, 452)(129, 453)(130, 454)(131, 455)(132, 456)(133, 457)(134, 458)(135, 459)(136, 460)(137, 461)(138, 462)(139, 463)(140, 464)(141, 465)(142, 466)(143, 467)(144, 468)(145, 469)(146, 470)(147, 471)(148, 472)(149, 473)(150, 474)(151, 475)(152, 476)(153, 477)(154, 478)(155, 479)(156, 480)(157, 481)(158, 482)(159, 483)(160, 484)(161, 485)(162, 486)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.3229
Transitivity :: ET+
Graph:: simple bipartite
	v = 216 e = 324 f = 54
	degree seq :: [ 2^162, 6^54 ]

E28.3228 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 6})
Quotient :: edge
Aut^+ = C2 x (((C9 x C3) : C3) : C2) (small group id <324, 73>)
Aut   = $<648, 301>$ (small group id <648, 301>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2 * T1^-1)^2, (T1 * T2^-1 * T1)^2, T2^6, T1^6, T1^-2 * T2^-5 * T1^-2 * T2, T2^2 * T1^-1 * T2^-2 * T1 * T2^-1 * T1^-1 * T2^3 * T1 * T2^-1 * T1 * T2^-1 * T1^-1, T2 * T1^-1 * T2^3 * T1 * T2^-2 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-3 * T1^-1, T2^-3 * T1^-1 * T2^2 * T1^-1 * T2 * T1^-1 * T2^-3 * T1 * T2^-2 * T1^-1 * T2 * T1^-1, T2 * T1^-1 * T2^-2 * T1 * T2^2 * T1^-1 * T2^3 * T1^-1 * T2 * T1^-1 * T2^-3 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 26, 15, 5)(2, 7, 19, 41, 22, 8)(4, 12, 30, 50, 24, 9)(6, 17, 37, 67, 39, 18)(11, 28, 56, 89, 52, 25)(13, 31, 59, 95, 57, 29)(14, 32, 60, 98, 62, 33)(16, 35, 64, 102, 65, 36)(20, 43, 76, 112, 72, 40)(21, 44, 77, 119, 79, 45)(23, 47, 81, 123, 82, 48)(27, 55, 93, 136, 91, 53)(34, 54, 92, 137, 101, 63)(38, 69, 107, 148, 103, 66)(42, 75, 116, 161, 114, 73)(46, 74, 115, 162, 122, 80)(49, 83, 126, 175, 127, 84)(51, 86, 129, 179, 130, 87)(58, 96, 140, 178, 128, 85)(61, 90, 134, 185, 141, 97)(68, 106, 151, 203, 149, 104)(70, 105, 150, 204, 153, 108)(71, 109, 154, 208, 155, 110)(78, 113, 159, 214, 165, 118)(88, 131, 182, 240, 183, 132)(94, 139, 191, 243, 184, 133)(99, 144, 196, 254, 194, 142)(100, 143, 195, 255, 197, 145)(111, 156, 211, 273, 212, 157)(117, 164, 220, 276, 213, 158)(120, 168, 224, 286, 222, 166)(121, 167, 223, 287, 225, 169)(124, 173, 229, 292, 227, 171)(125, 172, 228, 293, 230, 174)(135, 186, 245, 285, 246, 187)(138, 190, 249, 289, 247, 188)(146, 189, 248, 288, 258, 198)(147, 199, 259, 308, 260, 200)(152, 206, 267, 311, 261, 201)(160, 215, 278, 241, 279, 216)(163, 219, 282, 242, 280, 217)(170, 218, 281, 250, 290, 226)(176, 233, 298, 253, 296, 231)(177, 232, 297, 256, 299, 234)(180, 238, 303, 310, 301, 236)(181, 237, 302, 309, 304, 239)(192, 251, 306, 257, 300, 235)(193, 244, 305, 317, 307, 252)(202, 262, 312, 274, 313, 263)(205, 266, 316, 275, 314, 264)(207, 265, 315, 283, 318, 268)(209, 271, 321, 295, 319, 269)(210, 270, 320, 291, 322, 272)(221, 277, 323, 294, 324, 284)(325, 326, 330, 340, 337, 328)(327, 333, 347, 359, 342, 335)(329, 338, 355, 360, 344, 331)(332, 345, 336, 353, 362, 341)(334, 349, 375, 388, 372, 351)(339, 358, 367, 389, 385, 356)(343, 364, 395, 383, 357, 366)(346, 370, 393, 381, 402, 368)(348, 373, 352, 363, 394, 371)(350, 377, 414, 426, 411, 378)(354, 369, 392, 361, 390, 382)(365, 397, 437, 419, 434, 398)(374, 409, 429, 391, 428, 407)(376, 412, 379, 406, 449, 410)(380, 408, 448, 405, 432, 418)(384, 421, 441, 400, 387, 423)(386, 424, 433, 396, 435, 399)(401, 442, 476, 431, 404, 444)(403, 445, 420, 427, 471, 430)(413, 457, 496, 447, 495, 455)(415, 459, 416, 454, 505, 458)(417, 456, 504, 453, 498, 462)(422, 466, 480, 436, 482, 467)(425, 470, 488, 465, 517, 468)(438, 484, 439, 479, 534, 483)(440, 481, 533, 478, 469, 487)(443, 490, 523, 472, 525, 491)(446, 494, 530, 489, 545, 492)(450, 473, 526, 474, 452, 500)(451, 501, 463, 477, 531, 497)(460, 512, 561, 503, 560, 510)(461, 511, 568, 509, 563, 513)(464, 493, 529, 475, 524, 516)(485, 541, 594, 532, 593, 539)(486, 540, 601, 538, 596, 542)(499, 555, 589, 528, 587, 556)(502, 559, 586, 527, 588, 557)(506, 551, 615, 552, 508, 565)(507, 566, 514, 554, 619, 562)(515, 558, 618, 553, 592, 574)(518, 577, 519, 537, 598, 535)(520, 576, 607, 544, 522, 580)(521, 581, 595, 536, 599, 543)(546, 609, 547, 585, 633, 583)(548, 608, 641, 591, 550, 612)(549, 613, 575, 584, 634, 590)(564, 602, 643, 617, 644, 604)(567, 605, 646, 616, 647, 603)(569, 625, 632, 626, 571, 611)(570, 610, 572, 628, 635, 629)(573, 606, 640, 627, 645, 630)(578, 621, 637, 600, 639, 620)(579, 622, 638, 597, 636, 624)(582, 614, 642, 631, 648, 623)
	L = (1, 325)(2, 326)(3, 327)(4, 328)(5, 329)(6, 330)(7, 331)(8, 332)(9, 333)(10, 334)(11, 335)(12, 336)(13, 337)(14, 338)(15, 339)(16, 340)(17, 341)(18, 342)(19, 343)(20, 344)(21, 345)(22, 346)(23, 347)(24, 348)(25, 349)(26, 350)(27, 351)(28, 352)(29, 353)(30, 354)(31, 355)(32, 356)(33, 357)(34, 358)(35, 359)(36, 360)(37, 361)(38, 362)(39, 363)(40, 364)(41, 365)(42, 366)(43, 367)(44, 368)(45, 369)(46, 370)(47, 371)(48, 372)(49, 373)(50, 374)(51, 375)(52, 376)(53, 377)(54, 378)(55, 379)(56, 380)(57, 381)(58, 382)(59, 383)(60, 384)(61, 385)(62, 386)(63, 387)(64, 388)(65, 389)(66, 390)(67, 391)(68, 392)(69, 393)(70, 394)(71, 395)(72, 396)(73, 397)(74, 398)(75, 399)(76, 400)(77, 401)(78, 402)(79, 403)(80, 404)(81, 405)(82, 406)(83, 407)(84, 408)(85, 409)(86, 410)(87, 411)(88, 412)(89, 413)(90, 414)(91, 415)(92, 416)(93, 417)(94, 418)(95, 419)(96, 420)(97, 421)(98, 422)(99, 423)(100, 424)(101, 425)(102, 426)(103, 427)(104, 428)(105, 429)(106, 430)(107, 431)(108, 432)(109, 433)(110, 434)(111, 435)(112, 436)(113, 437)(114, 438)(115, 439)(116, 440)(117, 441)(118, 442)(119, 443)(120, 444)(121, 445)(122, 446)(123, 447)(124, 448)(125, 449)(126, 450)(127, 451)(128, 452)(129, 453)(130, 454)(131, 455)(132, 456)(133, 457)(134, 458)(135, 459)(136, 460)(137, 461)(138, 462)(139, 463)(140, 464)(141, 465)(142, 466)(143, 467)(144, 468)(145, 469)(146, 470)(147, 471)(148, 472)(149, 473)(150, 474)(151, 475)(152, 476)(153, 477)(154, 478)(155, 479)(156, 480)(157, 481)(158, 482)(159, 483)(160, 484)(161, 485)(162, 486)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E28.3231
Transitivity :: ET+
Graph:: simple bipartite
	v = 108 e = 324 f = 162
	degree seq :: [ 6^108 ]

E28.3229 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 6})
Quotient :: loop
Aut^+ = C2 x (((C9 x C3) : C3) : C2) (small group id <324, 73>)
Aut   = $<648, 301>$ (small group id <648, 301>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T2^-1 * T1 * T2^-2)^2, (T2^-1 * T1)^6, (T2^-2 * T1 * T2 * T1 * T2 * T1)^2, T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 ]
Map::
	R = (1, 325, 3, 327, 8, 332, 18, 342, 10, 334, 4, 328)(2, 326, 5, 329, 12, 336, 25, 349, 14, 338, 6, 330)(7, 331, 15, 339, 30, 354, 21, 345, 32, 356, 16, 340)(9, 333, 19, 343, 34, 358, 17, 341, 33, 357, 20, 344)(11, 335, 22, 346, 38, 362, 28, 352, 40, 364, 23, 347)(13, 337, 26, 350, 42, 366, 24, 348, 41, 365, 27, 351)(29, 353, 45, 369, 69, 393, 50, 374, 71, 395, 46, 370)(31, 355, 48, 372, 73, 397, 47, 371, 72, 396, 49, 373)(35, 359, 53, 377, 77, 401, 51, 375, 76, 400, 54, 378)(36, 360, 55, 379, 79, 403, 52, 376, 78, 402, 56, 380)(37, 361, 57, 381, 83, 407, 62, 386, 85, 409, 58, 382)(39, 363, 60, 384, 87, 411, 59, 383, 86, 410, 61, 385)(43, 367, 65, 389, 91, 415, 63, 387, 90, 414, 66, 390)(44, 368, 67, 391, 93, 417, 64, 388, 92, 416, 68, 392)(70, 394, 98, 422, 128, 452, 97, 421, 127, 451, 99, 423)(74, 398, 102, 426, 132, 456, 100, 424, 131, 455, 103, 427)(75, 399, 104, 428, 80, 404, 101, 425, 133, 457, 105, 429)(81, 405, 108, 432, 138, 462, 106, 430, 137, 461, 109, 433)(82, 406, 110, 434, 140, 464, 107, 431, 139, 463, 111, 435)(84, 408, 113, 437, 146, 470, 112, 436, 145, 469, 114, 438)(88, 412, 117, 441, 150, 474, 115, 439, 149, 473, 118, 442)(89, 413, 119, 443, 94, 418, 116, 440, 151, 475, 120, 444)(95, 419, 123, 447, 156, 480, 121, 445, 155, 479, 124, 448)(96, 420, 125, 449, 158, 482, 122, 446, 157, 481, 126, 450)(129, 453, 165, 489, 206, 530, 163, 487, 205, 529, 166, 490)(130, 454, 167, 491, 134, 458, 164, 488, 207, 531, 168, 492)(135, 459, 171, 495, 211, 535, 169, 493, 210, 534, 172, 496)(136, 460, 173, 497, 213, 537, 170, 494, 212, 536, 174, 498)(141, 465, 179, 503, 219, 543, 175, 499, 218, 542, 180, 504)(142, 466, 181, 505, 143, 467, 176, 500, 220, 544, 177, 501)(144, 468, 182, 506, 222, 546, 178, 502, 221, 545, 183, 507)(147, 471, 186, 510, 228, 552, 184, 508, 227, 551, 187, 511)(148, 472, 188, 512, 152, 476, 185, 509, 229, 553, 189, 513)(153, 477, 192, 516, 233, 557, 190, 514, 232, 556, 193, 517)(154, 478, 194, 518, 235, 559, 191, 515, 234, 558, 195, 519)(159, 483, 200, 524, 241, 565, 196, 520, 240, 564, 201, 525)(160, 484, 202, 526, 161, 485, 197, 521, 242, 566, 198, 522)(162, 486, 203, 527, 244, 568, 199, 523, 243, 567, 204, 528)(208, 532, 251, 575, 298, 622, 249, 573, 297, 621, 252, 576)(209, 533, 253, 577, 300, 624, 250, 574, 299, 623, 254, 578)(214, 538, 259, 583, 302, 626, 255, 579, 301, 625, 260, 584)(215, 539, 261, 585, 216, 540, 256, 580, 303, 627, 257, 581)(217, 541, 262, 586, 223, 547, 258, 582, 304, 628, 263, 587)(224, 548, 267, 591, 306, 630, 264, 588, 305, 629, 268, 592)(225, 549, 269, 593, 308, 632, 265, 589, 307, 631, 270, 594)(226, 550, 271, 595, 310, 634, 266, 590, 309, 633, 272, 596)(230, 554, 275, 599, 312, 636, 273, 597, 311, 635, 276, 600)(231, 555, 277, 601, 314, 638, 274, 598, 313, 637, 278, 602)(236, 560, 283, 607, 316, 640, 279, 603, 315, 639, 284, 608)(237, 561, 285, 609, 238, 562, 280, 604, 317, 641, 281, 605)(239, 563, 286, 610, 245, 569, 282, 606, 318, 642, 287, 611)(246, 570, 291, 615, 320, 644, 288, 612, 319, 643, 292, 616)(247, 571, 293, 617, 322, 646, 289, 613, 321, 645, 294, 618)(248, 572, 295, 619, 324, 648, 290, 614, 323, 647, 296, 620)
	L = (1, 326)(2, 325)(3, 331)(4, 333)(5, 335)(6, 337)(7, 327)(8, 341)(9, 328)(10, 345)(11, 329)(12, 348)(13, 330)(14, 352)(15, 353)(16, 355)(17, 332)(18, 349)(19, 359)(20, 360)(21, 334)(22, 361)(23, 363)(24, 336)(25, 342)(26, 367)(27, 368)(28, 338)(29, 339)(30, 371)(31, 340)(32, 374)(33, 375)(34, 376)(35, 343)(36, 344)(37, 346)(38, 383)(39, 347)(40, 386)(41, 387)(42, 388)(43, 350)(44, 351)(45, 392)(46, 394)(47, 354)(48, 398)(49, 399)(50, 356)(51, 357)(52, 358)(53, 404)(54, 405)(55, 406)(56, 381)(57, 380)(58, 408)(59, 362)(60, 412)(61, 413)(62, 364)(63, 365)(64, 366)(65, 418)(66, 419)(67, 420)(68, 369)(69, 421)(70, 370)(71, 417)(72, 424)(73, 425)(74, 372)(75, 373)(76, 429)(77, 430)(78, 431)(79, 409)(80, 377)(81, 378)(82, 379)(83, 436)(84, 382)(85, 403)(86, 439)(87, 440)(88, 384)(89, 385)(90, 444)(91, 445)(92, 446)(93, 395)(94, 389)(95, 390)(96, 391)(97, 393)(98, 453)(99, 454)(100, 396)(101, 397)(102, 458)(103, 459)(104, 460)(105, 400)(106, 401)(107, 402)(108, 465)(109, 466)(110, 467)(111, 468)(112, 407)(113, 471)(114, 472)(115, 410)(116, 411)(117, 476)(118, 477)(119, 478)(120, 414)(121, 415)(122, 416)(123, 483)(124, 484)(125, 485)(126, 486)(127, 487)(128, 488)(129, 422)(130, 423)(131, 492)(132, 493)(133, 494)(134, 426)(135, 427)(136, 428)(137, 499)(138, 500)(139, 501)(140, 502)(141, 432)(142, 433)(143, 434)(144, 435)(145, 508)(146, 509)(147, 437)(148, 438)(149, 513)(150, 514)(151, 515)(152, 441)(153, 442)(154, 443)(155, 520)(156, 521)(157, 522)(158, 523)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 528)(166, 532)(167, 533)(168, 455)(169, 456)(170, 457)(171, 538)(172, 539)(173, 540)(174, 541)(175, 461)(176, 462)(177, 463)(178, 464)(179, 547)(180, 548)(181, 549)(182, 550)(183, 510)(184, 469)(185, 470)(186, 507)(187, 554)(188, 555)(189, 473)(190, 474)(191, 475)(192, 560)(193, 561)(194, 562)(195, 563)(196, 479)(197, 480)(198, 481)(199, 482)(200, 569)(201, 570)(202, 571)(203, 572)(204, 489)(205, 568)(206, 573)(207, 574)(208, 490)(209, 491)(210, 579)(211, 580)(212, 581)(213, 582)(214, 495)(215, 496)(216, 497)(217, 498)(218, 587)(219, 588)(220, 589)(221, 590)(222, 551)(223, 503)(224, 504)(225, 505)(226, 506)(227, 546)(228, 597)(229, 598)(230, 511)(231, 512)(232, 603)(233, 604)(234, 605)(235, 606)(236, 516)(237, 517)(238, 518)(239, 519)(240, 611)(241, 612)(242, 613)(243, 614)(244, 529)(245, 524)(246, 525)(247, 526)(248, 527)(249, 530)(250, 531)(251, 607)(252, 602)(253, 601)(254, 600)(255, 534)(256, 535)(257, 536)(258, 537)(259, 599)(260, 615)(261, 610)(262, 609)(263, 542)(264, 543)(265, 544)(266, 545)(267, 608)(268, 620)(269, 619)(270, 618)(271, 617)(272, 616)(273, 552)(274, 553)(275, 583)(276, 578)(277, 577)(278, 576)(279, 556)(280, 557)(281, 558)(282, 559)(283, 575)(284, 591)(285, 586)(286, 585)(287, 564)(288, 565)(289, 566)(290, 567)(291, 584)(292, 596)(293, 595)(294, 594)(295, 593)(296, 592)(297, 639)(298, 638)(299, 637)(300, 636)(301, 635)(302, 643)(303, 642)(304, 641)(305, 640)(306, 648)(307, 647)(308, 646)(309, 645)(310, 644)(311, 625)(312, 624)(313, 623)(314, 622)(315, 621)(316, 629)(317, 628)(318, 627)(319, 626)(320, 634)(321, 633)(322, 632)(323, 631)(324, 630)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.3227
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 54 e = 324 f = 216
	degree seq :: [ 12^54 ]

E28.3230 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 6})
Quotient :: loop
Aut^+ = C2 x (((C9 x C3) : C3) : C2) (small group id <324, 73>)
Aut   = $<648, 301>$ (small group id <648, 301>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T1 * T2^-2 * T1 * T2^-1)^2, (T2^-1 * T1)^6, (T2^-1 * T1 * T2^2 * T1 * T2^-1)^3 ]
Map::
	R = (1, 325, 3, 327, 8, 332, 18, 342, 10, 334, 4, 328)(2, 326, 5, 329, 12, 336, 25, 349, 14, 338, 6, 330)(7, 331, 15, 339, 30, 354, 57, 381, 32, 356, 16, 340)(9, 333, 19, 343, 37, 361, 69, 393, 39, 363, 20, 344)(11, 335, 22, 346, 43, 367, 76, 400, 45, 369, 23, 347)(13, 337, 26, 350, 50, 374, 88, 412, 52, 376, 27, 351)(17, 341, 33, 357, 61, 385, 100, 424, 63, 387, 34, 358)(21, 345, 40, 364, 72, 396, 114, 438, 73, 397, 41, 365)(24, 348, 46, 370, 80, 404, 122, 446, 82, 406, 47, 371)(28, 352, 53, 377, 91, 415, 136, 460, 92, 416, 54, 378)(29, 353, 55, 379, 38, 362, 70, 394, 93, 417, 56, 380)(31, 355, 58, 382, 96, 420, 140, 464, 97, 421, 59, 383)(35, 359, 64, 388, 104, 428, 148, 472, 106, 430, 65, 389)(36, 360, 66, 390, 105, 429, 149, 473, 108, 432, 67, 391)(42, 366, 74, 398, 51, 375, 89, 413, 115, 439, 75, 399)(44, 368, 77, 401, 118, 442, 162, 486, 119, 443, 78, 402)(48, 372, 83, 407, 126, 450, 170, 494, 128, 452, 84, 408)(49, 373, 85, 409, 127, 451, 171, 495, 130, 454, 86, 410)(60, 384, 98, 422, 141, 465, 188, 512, 142, 466, 99, 423)(62, 386, 101, 425, 145, 469, 112, 436, 71, 395, 102, 426)(68, 392, 109, 433, 153, 477, 201, 525, 154, 478, 110, 434)(79, 403, 120, 444, 163, 487, 214, 538, 164, 488, 121, 445)(81, 405, 123, 447, 167, 491, 134, 458, 90, 414, 124, 448)(87, 411, 131, 455, 175, 499, 227, 551, 176, 500, 132, 456)(94, 418, 129, 453, 173, 497, 224, 548, 181, 505, 137, 461)(95, 419, 133, 457, 177, 501, 229, 553, 183, 507, 138, 462)(103, 427, 146, 470, 192, 516, 246, 570, 193, 517, 147, 471)(107, 431, 151, 475, 198, 522, 207, 531, 159, 483, 116, 440)(111, 435, 155, 479, 203, 527, 209, 533, 160, 484, 117, 441)(113, 437, 150, 474, 196, 520, 249, 573, 205, 529, 157, 481)(125, 449, 168, 492, 218, 542, 271, 595, 219, 543, 169, 493)(135, 459, 172, 496, 222, 546, 274, 598, 231, 555, 179, 503)(139, 463, 184, 508, 236, 560, 288, 612, 237, 561, 185, 509)(143, 467, 182, 506, 234, 558, 285, 609, 241, 565, 189, 513)(144, 468, 186, 510, 238, 562, 289, 613, 243, 567, 190, 514)(152, 476, 199, 523, 252, 576, 299, 623, 253, 577, 200, 524)(156, 480, 204, 528, 256, 580, 295, 619, 248, 572, 195, 519)(158, 482, 206, 530, 257, 581, 297, 621, 250, 574, 197, 521)(161, 485, 210, 534, 261, 585, 305, 629, 262, 586, 211, 535)(165, 489, 208, 532, 259, 583, 302, 626, 266, 590, 215, 539)(166, 490, 212, 536, 263, 587, 306, 630, 268, 592, 216, 540)(174, 498, 225, 549, 277, 601, 316, 640, 278, 602, 226, 550)(178, 502, 230, 554, 281, 605, 312, 636, 273, 597, 221, 545)(180, 504, 232, 556, 282, 606, 314, 638, 275, 599, 223, 547)(187, 511, 233, 557, 283, 607, 255, 579, 202, 526, 239, 563)(191, 515, 244, 568, 292, 616, 320, 644, 293, 617, 245, 569)(194, 518, 242, 566, 291, 615, 319, 643, 294, 618, 247, 571)(213, 537, 258, 582, 300, 624, 280, 604, 228, 552, 264, 588)(217, 541, 269, 593, 309, 633, 324, 648, 310, 634, 270, 594)(220, 544, 267, 591, 308, 632, 323, 647, 311, 635, 272, 596)(235, 559, 286, 610, 251, 575, 298, 622, 318, 642, 287, 611)(240, 564, 290, 614, 254, 578, 296, 620, 317, 641, 284, 608)(260, 584, 303, 627, 276, 600, 315, 639, 322, 646, 304, 628)(265, 589, 307, 631, 279, 603, 313, 637, 321, 645, 301, 625)
	L = (1, 326)(2, 325)(3, 331)(4, 333)(5, 335)(6, 337)(7, 327)(8, 341)(9, 328)(10, 345)(11, 329)(12, 348)(13, 330)(14, 352)(15, 353)(16, 355)(17, 332)(18, 359)(19, 360)(20, 362)(21, 334)(22, 366)(23, 368)(24, 336)(25, 372)(26, 373)(27, 375)(28, 338)(29, 339)(30, 378)(31, 340)(32, 384)(33, 376)(34, 386)(35, 342)(36, 343)(37, 392)(38, 344)(39, 370)(40, 395)(41, 367)(42, 346)(43, 365)(44, 347)(45, 403)(46, 363)(47, 405)(48, 349)(49, 350)(50, 411)(51, 351)(52, 357)(53, 414)(54, 354)(55, 398)(56, 409)(57, 418)(58, 419)(59, 413)(60, 356)(61, 423)(62, 358)(63, 427)(64, 421)(65, 429)(66, 399)(67, 431)(68, 361)(69, 435)(70, 402)(71, 364)(72, 437)(73, 433)(74, 379)(75, 390)(76, 440)(77, 441)(78, 394)(79, 369)(80, 445)(81, 371)(82, 449)(83, 443)(84, 451)(85, 380)(86, 453)(87, 374)(88, 457)(89, 383)(90, 377)(91, 459)(92, 455)(93, 448)(94, 381)(95, 382)(96, 463)(97, 388)(98, 456)(99, 385)(100, 467)(101, 468)(102, 439)(103, 387)(104, 471)(105, 389)(106, 474)(107, 391)(108, 476)(109, 397)(110, 444)(111, 393)(112, 480)(113, 396)(114, 482)(115, 426)(116, 400)(117, 401)(118, 485)(119, 407)(120, 434)(121, 404)(122, 489)(123, 490)(124, 417)(125, 406)(126, 493)(127, 408)(128, 496)(129, 410)(130, 498)(131, 416)(132, 422)(133, 412)(134, 502)(135, 415)(136, 504)(137, 501)(138, 506)(139, 420)(140, 510)(141, 511)(142, 508)(143, 424)(144, 425)(145, 515)(146, 509)(147, 428)(148, 518)(149, 519)(150, 430)(151, 521)(152, 432)(153, 524)(154, 526)(155, 483)(156, 436)(157, 523)(158, 438)(159, 479)(160, 532)(161, 442)(162, 536)(163, 537)(164, 534)(165, 446)(166, 447)(167, 541)(168, 535)(169, 450)(170, 544)(171, 545)(172, 452)(173, 547)(174, 454)(175, 550)(176, 552)(177, 461)(178, 458)(179, 549)(180, 460)(181, 557)(182, 462)(183, 559)(184, 466)(185, 470)(186, 464)(187, 465)(188, 564)(189, 562)(190, 566)(191, 469)(192, 542)(193, 568)(194, 472)(195, 473)(196, 569)(197, 475)(198, 575)(199, 481)(200, 477)(201, 578)(202, 478)(203, 579)(204, 571)(205, 555)(206, 572)(207, 582)(208, 484)(209, 584)(210, 488)(211, 492)(212, 486)(213, 487)(214, 589)(215, 587)(216, 591)(217, 491)(218, 516)(219, 593)(220, 494)(221, 495)(222, 594)(223, 497)(224, 600)(225, 503)(226, 499)(227, 603)(228, 500)(229, 604)(230, 596)(231, 529)(232, 597)(233, 505)(234, 608)(235, 507)(236, 611)(237, 592)(238, 513)(239, 610)(240, 512)(241, 595)(242, 514)(243, 586)(244, 517)(245, 520)(246, 590)(247, 528)(248, 530)(249, 606)(250, 620)(251, 522)(252, 605)(253, 622)(254, 525)(255, 527)(256, 601)(257, 598)(258, 531)(259, 625)(260, 533)(261, 628)(262, 567)(263, 539)(264, 627)(265, 538)(266, 570)(267, 540)(268, 561)(269, 543)(270, 546)(271, 565)(272, 554)(273, 556)(274, 581)(275, 637)(276, 548)(277, 580)(278, 639)(279, 551)(280, 553)(281, 576)(282, 573)(283, 631)(284, 558)(285, 632)(286, 563)(287, 560)(288, 633)(289, 630)(290, 624)(291, 626)(292, 629)(293, 640)(294, 638)(295, 636)(296, 574)(297, 635)(298, 577)(299, 634)(300, 614)(301, 583)(302, 615)(303, 588)(304, 585)(305, 616)(306, 613)(307, 607)(308, 609)(309, 612)(310, 623)(311, 621)(312, 619)(313, 599)(314, 618)(315, 602)(316, 617)(317, 648)(318, 647)(319, 646)(320, 645)(321, 644)(322, 643)(323, 642)(324, 641)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.3226
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 54 e = 324 f = 216
	degree seq :: [ 12^54 ]

E28.3231 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 6})
Quotient :: loop
Aut^+ = C2 x (((C9 x C3) : C3) : C2) (small group id <324, 73>)
Aut   = $<648, 301>$ (small group id <648, 301>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, T1^6, T1^2 * T2 * T1^-3 * T2 * T1, (T2 * T1^-1)^6, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1, (T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 325, 3, 327)(2, 326, 6, 330)(4, 328, 9, 333)(5, 329, 12, 336)(7, 331, 16, 340)(8, 332, 17, 341)(10, 334, 21, 345)(11, 335, 22, 346)(13, 337, 26, 350)(14, 338, 27, 351)(15, 339, 29, 353)(18, 342, 34, 358)(19, 343, 35, 359)(20, 344, 36, 360)(23, 347, 37, 361)(24, 348, 38, 362)(25, 349, 39, 363)(28, 352, 44, 368)(30, 354, 48, 372)(31, 355, 49, 373)(32, 356, 51, 375)(33, 357, 52, 376)(40, 364, 64, 388)(41, 365, 65, 389)(42, 366, 67, 391)(43, 367, 68, 392)(45, 369, 69, 393)(46, 370, 70, 394)(47, 371, 71, 395)(50, 374, 76, 400)(53, 377, 80, 404)(54, 378, 81, 405)(55, 379, 82, 406)(56, 380, 72, 396)(57, 381, 83, 407)(58, 382, 84, 408)(59, 383, 85, 409)(60, 384, 86, 410)(61, 385, 87, 411)(62, 386, 88, 412)(63, 387, 89, 413)(66, 390, 93, 417)(73, 397, 102, 426)(74, 398, 103, 427)(75, 399, 104, 428)(77, 401, 105, 429)(78, 402, 106, 430)(79, 403, 107, 431)(90, 414, 121, 445)(91, 415, 122, 446)(92, 416, 123, 447)(94, 418, 124, 448)(95, 419, 125, 449)(96, 420, 126, 450)(97, 421, 127, 451)(98, 422, 128, 452)(99, 423, 129, 453)(100, 424, 130, 454)(101, 425, 131, 455)(108, 432, 141, 465)(109, 433, 142, 466)(110, 434, 143, 467)(111, 435, 144, 468)(112, 436, 145, 469)(113, 437, 146, 470)(114, 438, 147, 471)(115, 439, 148, 472)(116, 440, 149, 473)(117, 441, 150, 474)(118, 442, 151, 475)(119, 443, 152, 476)(120, 444, 153, 477)(132, 456, 170, 494)(133, 457, 171, 495)(134, 458, 172, 496)(135, 459, 173, 497)(136, 460, 174, 498)(137, 461, 175, 499)(138, 462, 176, 500)(139, 463, 177, 501)(140, 464, 178, 502)(154, 478, 196, 520)(155, 479, 197, 521)(156, 480, 198, 522)(157, 481, 199, 523)(158, 482, 200, 524)(159, 483, 201, 525)(160, 484, 202, 526)(161, 485, 203, 527)(162, 486, 204, 528)(163, 487, 205, 529)(164, 488, 206, 530)(165, 489, 207, 531)(166, 490, 208, 532)(167, 491, 209, 533)(168, 492, 210, 534)(169, 493, 211, 535)(179, 503, 223, 547)(180, 504, 224, 548)(181, 505, 225, 549)(182, 506, 226, 550)(183, 507, 212, 536)(184, 508, 227, 551)(185, 509, 228, 552)(186, 510, 229, 553)(187, 511, 230, 554)(188, 512, 231, 555)(189, 513, 232, 556)(190, 514, 233, 557)(191, 515, 234, 558)(192, 516, 235, 559)(193, 517, 236, 560)(194, 518, 237, 561)(195, 519, 238, 562)(213, 537, 257, 581)(214, 538, 258, 582)(215, 539, 259, 583)(216, 540, 260, 584)(217, 541, 261, 585)(218, 542, 262, 586)(219, 543, 263, 587)(220, 544, 264, 588)(221, 545, 265, 589)(222, 546, 266, 590)(239, 563, 287, 611)(240, 564, 288, 612)(241, 565, 289, 613)(242, 566, 290, 614)(243, 567, 291, 615)(244, 568, 292, 616)(245, 569, 293, 617)(246, 570, 294, 618)(247, 571, 295, 619)(248, 572, 296, 620)(249, 573, 297, 621)(250, 574, 298, 622)(251, 575, 299, 623)(252, 576, 300, 624)(253, 577, 301, 625)(254, 578, 302, 626)(255, 579, 303, 627)(256, 580, 304, 628)(267, 591, 305, 629)(268, 592, 310, 634)(269, 593, 309, 633)(270, 594, 308, 632)(271, 595, 307, 631)(272, 596, 306, 630)(273, 597, 311, 635)(274, 598, 312, 636)(275, 599, 313, 637)(276, 600, 314, 638)(277, 601, 315, 639)(278, 602, 316, 640)(279, 603, 317, 641)(280, 604, 318, 642)(281, 605, 319, 643)(282, 606, 320, 644)(283, 607, 321, 645)(284, 608, 322, 646)(285, 609, 323, 647)(286, 610, 324, 648)
	L = (1, 326)(2, 329)(3, 331)(4, 325)(5, 335)(6, 337)(7, 339)(8, 327)(9, 343)(10, 328)(11, 334)(12, 347)(13, 349)(14, 330)(15, 346)(16, 354)(17, 356)(18, 332)(19, 348)(20, 333)(21, 352)(22, 342)(23, 344)(24, 336)(25, 345)(26, 364)(27, 366)(28, 338)(29, 369)(30, 371)(31, 340)(32, 370)(33, 341)(34, 374)(35, 377)(36, 379)(37, 381)(38, 383)(39, 385)(40, 387)(41, 350)(42, 386)(43, 351)(44, 390)(45, 357)(46, 353)(47, 358)(48, 396)(49, 398)(50, 355)(51, 401)(52, 403)(53, 382)(54, 359)(55, 384)(56, 360)(57, 378)(58, 361)(59, 380)(60, 362)(61, 367)(62, 363)(63, 368)(64, 376)(65, 415)(66, 365)(67, 418)(68, 420)(69, 421)(70, 414)(71, 423)(72, 425)(73, 372)(74, 424)(75, 373)(76, 410)(77, 422)(78, 375)(79, 417)(80, 412)(81, 432)(82, 434)(83, 392)(84, 437)(85, 439)(86, 397)(87, 441)(88, 436)(89, 443)(90, 388)(91, 444)(92, 389)(93, 394)(94, 442)(95, 391)(96, 404)(97, 402)(98, 393)(99, 399)(100, 395)(101, 400)(102, 456)(103, 458)(104, 460)(105, 454)(106, 461)(107, 463)(108, 438)(109, 405)(110, 440)(111, 406)(112, 407)(113, 433)(114, 408)(115, 435)(116, 409)(117, 419)(118, 411)(119, 416)(120, 413)(121, 478)(122, 480)(123, 482)(124, 477)(125, 483)(126, 485)(127, 428)(128, 488)(129, 490)(130, 487)(131, 492)(132, 493)(133, 426)(134, 491)(135, 427)(136, 429)(137, 489)(138, 430)(139, 479)(140, 431)(141, 503)(142, 505)(143, 471)(144, 506)(145, 508)(146, 510)(147, 512)(148, 466)(149, 513)(150, 447)(151, 516)(152, 518)(153, 515)(154, 464)(155, 445)(156, 519)(157, 446)(158, 448)(159, 517)(160, 449)(161, 509)(162, 450)(163, 451)(164, 462)(165, 452)(166, 459)(167, 453)(168, 457)(169, 455)(170, 536)(171, 538)(172, 535)(173, 539)(174, 541)(175, 543)(176, 545)(177, 531)(178, 546)(179, 511)(180, 465)(181, 467)(182, 514)(183, 468)(184, 486)(185, 469)(186, 504)(187, 470)(188, 472)(189, 507)(190, 473)(191, 474)(192, 484)(193, 475)(194, 481)(195, 476)(196, 500)(197, 564)(198, 502)(199, 565)(200, 567)(201, 569)(202, 571)(203, 560)(204, 572)(205, 573)(206, 575)(207, 563)(208, 495)(209, 578)(210, 557)(211, 577)(212, 580)(213, 494)(214, 496)(215, 579)(216, 497)(217, 574)(218, 498)(219, 576)(220, 499)(221, 501)(222, 561)(223, 552)(224, 591)(225, 593)(226, 595)(227, 526)(228, 598)(229, 528)(230, 599)(231, 601)(232, 603)(233, 537)(234, 605)(235, 607)(236, 597)(237, 521)(238, 609)(239, 520)(240, 522)(241, 610)(242, 523)(243, 606)(244, 524)(245, 608)(246, 525)(247, 527)(248, 547)(249, 542)(250, 529)(251, 544)(252, 530)(253, 532)(254, 540)(255, 533)(256, 534)(257, 617)(258, 615)(259, 613)(260, 620)(261, 627)(262, 619)(263, 622)(264, 618)(265, 631)(266, 633)(267, 600)(268, 548)(269, 602)(270, 549)(271, 604)(272, 550)(273, 551)(274, 553)(275, 592)(276, 554)(277, 594)(278, 555)(279, 596)(280, 556)(281, 568)(282, 558)(283, 570)(284, 559)(285, 566)(286, 562)(287, 641)(288, 639)(289, 637)(290, 582)(291, 648)(292, 581)(293, 644)(294, 642)(295, 587)(296, 585)(297, 584)(298, 635)(299, 586)(300, 646)(301, 643)(302, 647)(303, 636)(304, 645)(305, 583)(306, 588)(307, 640)(308, 589)(309, 638)(310, 590)(311, 623)(312, 621)(313, 626)(314, 612)(315, 634)(316, 611)(317, 632)(318, 624)(319, 614)(320, 628)(321, 616)(322, 630)(323, 629)(324, 625)
	local type(s) :: { ( 6^4 ) }
Outer automorphisms :: reflexible
Dual of E28.3228
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 162 e = 324 f = 108
	degree seq :: [ 4^162 ]

E28.3232 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = C2 x (((C9 x C3) : C3) : C2) (small group id <324, 73>)
Aut   = $<648, 301>$ (small group id <648, 301>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^6, (R * Y2^2 * Y1)^2, (Y2^-1 * Y1 * Y2^-2)^2, (Y3 * Y2^-1)^6, (Y2^-2 * Y1 * Y2 * Y1 * Y2 * Y1)^2, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 ]
Map::
	R = (1, 325, 2, 326)(3, 327, 7, 331)(4, 328, 9, 333)(5, 329, 11, 335)(6, 330, 13, 337)(8, 332, 17, 341)(10, 334, 21, 345)(12, 336, 24, 348)(14, 338, 28, 352)(15, 339, 29, 353)(16, 340, 31, 355)(18, 342, 25, 349)(19, 343, 35, 359)(20, 344, 36, 360)(22, 346, 37, 361)(23, 347, 39, 363)(26, 350, 43, 367)(27, 351, 44, 368)(30, 354, 47, 371)(32, 356, 50, 374)(33, 357, 51, 375)(34, 358, 52, 376)(38, 362, 59, 383)(40, 364, 62, 386)(41, 365, 63, 387)(42, 366, 64, 388)(45, 369, 68, 392)(46, 370, 70, 394)(48, 372, 74, 398)(49, 373, 75, 399)(53, 377, 80, 404)(54, 378, 81, 405)(55, 379, 82, 406)(56, 380, 57, 381)(58, 382, 84, 408)(60, 384, 88, 412)(61, 385, 89, 413)(65, 389, 94, 418)(66, 390, 95, 419)(67, 391, 96, 420)(69, 393, 97, 421)(71, 395, 93, 417)(72, 396, 100, 424)(73, 397, 101, 425)(76, 400, 105, 429)(77, 401, 106, 430)(78, 402, 107, 431)(79, 403, 85, 409)(83, 407, 112, 436)(86, 410, 115, 439)(87, 411, 116, 440)(90, 414, 120, 444)(91, 415, 121, 445)(92, 416, 122, 446)(98, 422, 129, 453)(99, 423, 130, 454)(102, 426, 134, 458)(103, 427, 135, 459)(104, 428, 136, 460)(108, 432, 141, 465)(109, 433, 142, 466)(110, 434, 143, 467)(111, 435, 144, 468)(113, 437, 147, 471)(114, 438, 148, 472)(117, 441, 152, 476)(118, 442, 153, 477)(119, 443, 154, 478)(123, 447, 159, 483)(124, 448, 160, 484)(125, 449, 161, 485)(126, 450, 162, 486)(127, 451, 163, 487)(128, 452, 164, 488)(131, 455, 168, 492)(132, 456, 169, 493)(133, 457, 170, 494)(137, 461, 175, 499)(138, 462, 176, 500)(139, 463, 177, 501)(140, 464, 178, 502)(145, 469, 184, 508)(146, 470, 185, 509)(149, 473, 189, 513)(150, 474, 190, 514)(151, 475, 191, 515)(155, 479, 196, 520)(156, 480, 197, 521)(157, 481, 198, 522)(158, 482, 199, 523)(165, 489, 204, 528)(166, 490, 208, 532)(167, 491, 209, 533)(171, 495, 214, 538)(172, 496, 215, 539)(173, 497, 216, 540)(174, 498, 217, 541)(179, 503, 223, 547)(180, 504, 224, 548)(181, 505, 225, 549)(182, 506, 226, 550)(183, 507, 186, 510)(187, 511, 230, 554)(188, 512, 231, 555)(192, 516, 236, 560)(193, 517, 237, 561)(194, 518, 238, 562)(195, 519, 239, 563)(200, 524, 245, 569)(201, 525, 246, 570)(202, 526, 247, 571)(203, 527, 248, 572)(205, 529, 244, 568)(206, 530, 249, 573)(207, 531, 250, 574)(210, 534, 255, 579)(211, 535, 256, 580)(212, 536, 257, 581)(213, 537, 258, 582)(218, 542, 263, 587)(219, 543, 264, 588)(220, 544, 265, 589)(221, 545, 266, 590)(222, 546, 227, 551)(228, 552, 273, 597)(229, 553, 274, 598)(232, 556, 279, 603)(233, 557, 280, 604)(234, 558, 281, 605)(235, 559, 282, 606)(240, 564, 287, 611)(241, 565, 288, 612)(242, 566, 289, 613)(243, 567, 290, 614)(251, 575, 283, 607)(252, 576, 278, 602)(253, 577, 277, 601)(254, 578, 276, 600)(259, 583, 275, 599)(260, 584, 291, 615)(261, 585, 286, 610)(262, 586, 285, 609)(267, 591, 284, 608)(268, 592, 296, 620)(269, 593, 295, 619)(270, 594, 294, 618)(271, 595, 293, 617)(272, 596, 292, 616)(297, 621, 315, 639)(298, 622, 314, 638)(299, 623, 313, 637)(300, 624, 312, 636)(301, 625, 311, 635)(302, 626, 319, 643)(303, 627, 318, 642)(304, 628, 317, 641)(305, 629, 316, 640)(306, 630, 324, 648)(307, 631, 323, 647)(308, 632, 322, 646)(309, 633, 321, 645)(310, 634, 320, 644)(649, 973, 651, 975, 656, 980, 666, 990, 658, 982, 652, 976)(650, 974, 653, 977, 660, 984, 673, 997, 662, 986, 654, 978)(655, 979, 663, 987, 678, 1002, 669, 993, 680, 1004, 664, 988)(657, 981, 667, 991, 682, 1006, 665, 989, 681, 1005, 668, 992)(659, 983, 670, 994, 686, 1010, 676, 1000, 688, 1012, 671, 995)(661, 985, 674, 998, 690, 1014, 672, 996, 689, 1013, 675, 999)(677, 1001, 693, 1017, 717, 1041, 698, 1022, 719, 1043, 694, 1018)(679, 1003, 696, 1020, 721, 1045, 695, 1019, 720, 1044, 697, 1021)(683, 1007, 701, 1025, 725, 1049, 699, 1023, 724, 1048, 702, 1026)(684, 1008, 703, 1027, 727, 1051, 700, 1024, 726, 1050, 704, 1028)(685, 1009, 705, 1029, 731, 1055, 710, 1034, 733, 1057, 706, 1030)(687, 1011, 708, 1032, 735, 1059, 707, 1031, 734, 1058, 709, 1033)(691, 1015, 713, 1037, 739, 1063, 711, 1035, 738, 1062, 714, 1038)(692, 1016, 715, 1039, 741, 1065, 712, 1036, 740, 1064, 716, 1040)(718, 1042, 746, 1070, 776, 1100, 745, 1069, 775, 1099, 747, 1071)(722, 1046, 750, 1074, 780, 1104, 748, 1072, 779, 1103, 751, 1075)(723, 1047, 752, 1076, 728, 1052, 749, 1073, 781, 1105, 753, 1077)(729, 1053, 756, 1080, 786, 1110, 754, 1078, 785, 1109, 757, 1081)(730, 1054, 758, 1082, 788, 1112, 755, 1079, 787, 1111, 759, 1083)(732, 1056, 761, 1085, 794, 1118, 760, 1084, 793, 1117, 762, 1086)(736, 1060, 765, 1089, 798, 1122, 763, 1087, 797, 1121, 766, 1090)(737, 1061, 767, 1091, 742, 1066, 764, 1088, 799, 1123, 768, 1092)(743, 1067, 771, 1095, 804, 1128, 769, 1093, 803, 1127, 772, 1096)(744, 1068, 773, 1097, 806, 1130, 770, 1094, 805, 1129, 774, 1098)(777, 1101, 813, 1137, 854, 1178, 811, 1135, 853, 1177, 814, 1138)(778, 1102, 815, 1139, 782, 1106, 812, 1136, 855, 1179, 816, 1140)(783, 1107, 819, 1143, 859, 1183, 817, 1141, 858, 1182, 820, 1144)(784, 1108, 821, 1145, 861, 1185, 818, 1142, 860, 1184, 822, 1146)(789, 1113, 827, 1151, 867, 1191, 823, 1147, 866, 1190, 828, 1152)(790, 1114, 829, 1153, 791, 1115, 824, 1148, 868, 1192, 825, 1149)(792, 1116, 830, 1154, 870, 1194, 826, 1150, 869, 1193, 831, 1155)(795, 1119, 834, 1158, 876, 1200, 832, 1156, 875, 1199, 835, 1159)(796, 1120, 836, 1160, 800, 1124, 833, 1157, 877, 1201, 837, 1161)(801, 1125, 840, 1164, 881, 1205, 838, 1162, 880, 1204, 841, 1165)(802, 1126, 842, 1166, 883, 1207, 839, 1163, 882, 1206, 843, 1167)(807, 1131, 848, 1172, 889, 1213, 844, 1168, 888, 1212, 849, 1173)(808, 1132, 850, 1174, 809, 1133, 845, 1169, 890, 1214, 846, 1170)(810, 1134, 851, 1175, 892, 1216, 847, 1171, 891, 1215, 852, 1176)(856, 1180, 899, 1223, 946, 1270, 897, 1221, 945, 1269, 900, 1224)(857, 1181, 901, 1225, 948, 1272, 898, 1222, 947, 1271, 902, 1226)(862, 1186, 907, 1231, 950, 1274, 903, 1227, 949, 1273, 908, 1232)(863, 1187, 909, 1233, 864, 1188, 904, 1228, 951, 1275, 905, 1229)(865, 1189, 910, 1234, 871, 1195, 906, 1230, 952, 1276, 911, 1235)(872, 1196, 915, 1239, 954, 1278, 912, 1236, 953, 1277, 916, 1240)(873, 1197, 917, 1241, 956, 1280, 913, 1237, 955, 1279, 918, 1242)(874, 1198, 919, 1243, 958, 1282, 914, 1238, 957, 1281, 920, 1244)(878, 1202, 923, 1247, 960, 1284, 921, 1245, 959, 1283, 924, 1248)(879, 1203, 925, 1249, 962, 1286, 922, 1246, 961, 1285, 926, 1250)(884, 1208, 931, 1255, 964, 1288, 927, 1251, 963, 1287, 932, 1256)(885, 1209, 933, 1257, 886, 1210, 928, 1252, 965, 1289, 929, 1253)(887, 1211, 934, 1258, 893, 1217, 930, 1254, 966, 1290, 935, 1259)(894, 1218, 939, 1263, 968, 1292, 936, 1260, 967, 1291, 940, 1264)(895, 1219, 941, 1265, 970, 1294, 937, 1261, 969, 1293, 942, 1266)(896, 1220, 943, 1267, 972, 1296, 938, 1262, 971, 1295, 944, 1268)
	L = (1, 650)(2, 649)(3, 655)(4, 657)(5, 659)(6, 661)(7, 651)(8, 665)(9, 652)(10, 669)(11, 653)(12, 672)(13, 654)(14, 676)(15, 677)(16, 679)(17, 656)(18, 673)(19, 683)(20, 684)(21, 658)(22, 685)(23, 687)(24, 660)(25, 666)(26, 691)(27, 692)(28, 662)(29, 663)(30, 695)(31, 664)(32, 698)(33, 699)(34, 700)(35, 667)(36, 668)(37, 670)(38, 707)(39, 671)(40, 710)(41, 711)(42, 712)(43, 674)(44, 675)(45, 716)(46, 718)(47, 678)(48, 722)(49, 723)(50, 680)(51, 681)(52, 682)(53, 728)(54, 729)(55, 730)(56, 705)(57, 704)(58, 732)(59, 686)(60, 736)(61, 737)(62, 688)(63, 689)(64, 690)(65, 742)(66, 743)(67, 744)(68, 693)(69, 745)(70, 694)(71, 741)(72, 748)(73, 749)(74, 696)(75, 697)(76, 753)(77, 754)(78, 755)(79, 733)(80, 701)(81, 702)(82, 703)(83, 760)(84, 706)(85, 727)(86, 763)(87, 764)(88, 708)(89, 709)(90, 768)(91, 769)(92, 770)(93, 719)(94, 713)(95, 714)(96, 715)(97, 717)(98, 777)(99, 778)(100, 720)(101, 721)(102, 782)(103, 783)(104, 784)(105, 724)(106, 725)(107, 726)(108, 789)(109, 790)(110, 791)(111, 792)(112, 731)(113, 795)(114, 796)(115, 734)(116, 735)(117, 800)(118, 801)(119, 802)(120, 738)(121, 739)(122, 740)(123, 807)(124, 808)(125, 809)(126, 810)(127, 811)(128, 812)(129, 746)(130, 747)(131, 816)(132, 817)(133, 818)(134, 750)(135, 751)(136, 752)(137, 823)(138, 824)(139, 825)(140, 826)(141, 756)(142, 757)(143, 758)(144, 759)(145, 832)(146, 833)(147, 761)(148, 762)(149, 837)(150, 838)(151, 839)(152, 765)(153, 766)(154, 767)(155, 844)(156, 845)(157, 846)(158, 847)(159, 771)(160, 772)(161, 773)(162, 774)(163, 775)(164, 776)(165, 852)(166, 856)(167, 857)(168, 779)(169, 780)(170, 781)(171, 862)(172, 863)(173, 864)(174, 865)(175, 785)(176, 786)(177, 787)(178, 788)(179, 871)(180, 872)(181, 873)(182, 874)(183, 834)(184, 793)(185, 794)(186, 831)(187, 878)(188, 879)(189, 797)(190, 798)(191, 799)(192, 884)(193, 885)(194, 886)(195, 887)(196, 803)(197, 804)(198, 805)(199, 806)(200, 893)(201, 894)(202, 895)(203, 896)(204, 813)(205, 892)(206, 897)(207, 898)(208, 814)(209, 815)(210, 903)(211, 904)(212, 905)(213, 906)(214, 819)(215, 820)(216, 821)(217, 822)(218, 911)(219, 912)(220, 913)(221, 914)(222, 875)(223, 827)(224, 828)(225, 829)(226, 830)(227, 870)(228, 921)(229, 922)(230, 835)(231, 836)(232, 927)(233, 928)(234, 929)(235, 930)(236, 840)(237, 841)(238, 842)(239, 843)(240, 935)(241, 936)(242, 937)(243, 938)(244, 853)(245, 848)(246, 849)(247, 850)(248, 851)(249, 854)(250, 855)(251, 931)(252, 926)(253, 925)(254, 924)(255, 858)(256, 859)(257, 860)(258, 861)(259, 923)(260, 939)(261, 934)(262, 933)(263, 866)(264, 867)(265, 868)(266, 869)(267, 932)(268, 944)(269, 943)(270, 942)(271, 941)(272, 940)(273, 876)(274, 877)(275, 907)(276, 902)(277, 901)(278, 900)(279, 880)(280, 881)(281, 882)(282, 883)(283, 899)(284, 915)(285, 910)(286, 909)(287, 888)(288, 889)(289, 890)(290, 891)(291, 908)(292, 920)(293, 919)(294, 918)(295, 917)(296, 916)(297, 963)(298, 962)(299, 961)(300, 960)(301, 959)(302, 967)(303, 966)(304, 965)(305, 964)(306, 972)(307, 971)(308, 970)(309, 969)(310, 968)(311, 949)(312, 948)(313, 947)(314, 946)(315, 945)(316, 953)(317, 952)(318, 951)(319, 950)(320, 958)(321, 957)(322, 956)(323, 955)(324, 954)(325, 973)(326, 974)(327, 975)(328, 976)(329, 977)(330, 978)(331, 979)(332, 980)(333, 981)(334, 982)(335, 983)(336, 984)(337, 985)(338, 986)(339, 987)(340, 988)(341, 989)(342, 990)(343, 991)(344, 992)(345, 993)(346, 994)(347, 995)(348, 996)(349, 997)(350, 998)(351, 999)(352, 1000)(353, 1001)(354, 1002)(355, 1003)(356, 1004)(357, 1005)(358, 1006)(359, 1007)(360, 1008)(361, 1009)(362, 1010)(363, 1011)(364, 1012)(365, 1013)(366, 1014)(367, 1015)(368, 1016)(369, 1017)(370, 1018)(371, 1019)(372, 1020)(373, 1021)(374, 1022)(375, 1023)(376, 1024)(377, 1025)(378, 1026)(379, 1027)(380, 1028)(381, 1029)(382, 1030)(383, 1031)(384, 1032)(385, 1033)(386, 1034)(387, 1035)(388, 1036)(389, 1037)(390, 1038)(391, 1039)(392, 1040)(393, 1041)(394, 1042)(395, 1043)(396, 1044)(397, 1045)(398, 1046)(399, 1047)(400, 1048)(401, 1049)(402, 1050)(403, 1051)(404, 1052)(405, 1053)(406, 1054)(407, 1055)(408, 1056)(409, 1057)(410, 1058)(411, 1059)(412, 1060)(413, 1061)(414, 1062)(415, 1063)(416, 1064)(417, 1065)(418, 1066)(419, 1067)(420, 1068)(421, 1069)(422, 1070)(423, 1071)(424, 1072)(425, 1073)(426, 1074)(427, 1075)(428, 1076)(429, 1077)(430, 1078)(431, 1079)(432, 1080)(433, 1081)(434, 1082)(435, 1083)(436, 1084)(437, 1085)(438, 1086)(439, 1087)(440, 1088)(441, 1089)(442, 1090)(443, 1091)(444, 1092)(445, 1093)(446, 1094)(447, 1095)(448, 1096)(449, 1097)(450, 1098)(451, 1099)(452, 1100)(453, 1101)(454, 1102)(455, 1103)(456, 1104)(457, 1105)(458, 1106)(459, 1107)(460, 1108)(461, 1109)(462, 1110)(463, 1111)(464, 1112)(465, 1113)(466, 1114)(467, 1115)(468, 1116)(469, 1117)(470, 1118)(471, 1119)(472, 1120)(473, 1121)(474, 1122)(475, 1123)(476, 1124)(477, 1125)(478, 1126)(479, 1127)(480, 1128)(481, 1129)(482, 1130)(483, 1131)(484, 1132)(485, 1133)(486, 1134)(487, 1135)(488, 1136)(489, 1137)(490, 1138)(491, 1139)(492, 1140)(493, 1141)(494, 1142)(495, 1143)(496, 1144)(497, 1145)(498, 1146)(499, 1147)(500, 1148)(501, 1149)(502, 1150)(503, 1151)(504, 1152)(505, 1153)(506, 1154)(507, 1155)(508, 1156)(509, 1157)(510, 1158)(511, 1159)(512, 1160)(513, 1161)(514, 1162)(515, 1163)(516, 1164)(517, 1165)(518, 1166)(519, 1167)(520, 1168)(521, 1169)(522, 1170)(523, 1171)(524, 1172)(525, 1173)(526, 1174)(527, 1175)(528, 1176)(529, 1177)(530, 1178)(531, 1179)(532, 1180)(533, 1181)(534, 1182)(535, 1183)(536, 1184)(537, 1185)(538, 1186)(539, 1187)(540, 1188)(541, 1189)(542, 1190)(543, 1191)(544, 1192)(545, 1193)(546, 1194)(547, 1195)(548, 1196)(549, 1197)(550, 1198)(551, 1199)(552, 1200)(553, 1201)(554, 1202)(555, 1203)(556, 1204)(557, 1205)(558, 1206)(559, 1207)(560, 1208)(561, 1209)(562, 1210)(563, 1211)(564, 1212)(565, 1213)(566, 1214)(567, 1215)(568, 1216)(569, 1217)(570, 1218)(571, 1219)(572, 1220)(573, 1221)(574, 1222)(575, 1223)(576, 1224)(577, 1225)(578, 1226)(579, 1227)(580, 1228)(581, 1229)(582, 1230)(583, 1231)(584, 1232)(585, 1233)(586, 1234)(587, 1235)(588, 1236)(589, 1237)(590, 1238)(591, 1239)(592, 1240)(593, 1241)(594, 1242)(595, 1243)(596, 1244)(597, 1245)(598, 1246)(599, 1247)(600, 1248)(601, 1249)(602, 1250)(603, 1251)(604, 1252)(605, 1253)(606, 1254)(607, 1255)(608, 1256)(609, 1257)(610, 1258)(611, 1259)(612, 1260)(613, 1261)(614, 1262)(615, 1263)(616, 1264)(617, 1265)(618, 1266)(619, 1267)(620, 1268)(621, 1269)(622, 1270)(623, 1271)(624, 1272)(625, 1273)(626, 1274)(627, 1275)(628, 1276)(629, 1277)(630, 1278)(631, 1279)(632, 1280)(633, 1281)(634, 1282)(635, 1283)(636, 1284)(637, 1285)(638, 1286)(639, 1287)(640, 1288)(641, 1289)(642, 1290)(643, 1291)(644, 1292)(645, 1293)(646, 1294)(647, 1295)(648, 1296)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3236
Graph:: bipartite
	v = 216 e = 648 f = 378
	degree seq :: [ 4^162, 12^54 ]

E28.3233 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = C2 x (((C9 x C3) : C3) : C2) (small group id <324, 73>)
Aut   = $<648, 301>$ (small group id <648, 301>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^6, (R * Y2^-2 * Y1)^2, (Y1 * Y2^2 * Y1 * Y2)^2, (Y2 * Y1)^6, (Y3 * Y2^-1)^6, (Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1)^3 ]
Map::
	R = (1, 325, 2, 326)(3, 327, 7, 331)(4, 328, 9, 333)(5, 329, 11, 335)(6, 330, 13, 337)(8, 332, 17, 341)(10, 334, 21, 345)(12, 336, 24, 348)(14, 338, 28, 352)(15, 339, 29, 353)(16, 340, 31, 355)(18, 342, 35, 359)(19, 343, 36, 360)(20, 344, 38, 362)(22, 346, 42, 366)(23, 347, 44, 368)(25, 349, 48, 372)(26, 350, 49, 373)(27, 351, 51, 375)(30, 354, 54, 378)(32, 356, 60, 384)(33, 357, 52, 376)(34, 358, 62, 386)(37, 361, 68, 392)(39, 363, 46, 370)(40, 364, 71, 395)(41, 365, 43, 367)(45, 369, 79, 403)(47, 371, 81, 405)(50, 374, 87, 411)(53, 377, 90, 414)(55, 379, 74, 398)(56, 380, 85, 409)(57, 381, 94, 418)(58, 382, 95, 419)(59, 383, 89, 413)(61, 385, 99, 423)(63, 387, 103, 427)(64, 388, 97, 421)(65, 389, 105, 429)(66, 390, 75, 399)(67, 391, 107, 431)(69, 393, 111, 435)(70, 394, 78, 402)(72, 396, 113, 437)(73, 397, 109, 433)(76, 400, 116, 440)(77, 401, 117, 441)(80, 404, 121, 445)(82, 406, 125, 449)(83, 407, 119, 443)(84, 408, 127, 451)(86, 410, 129, 453)(88, 412, 133, 457)(91, 415, 135, 459)(92, 416, 131, 455)(93, 417, 124, 448)(96, 420, 139, 463)(98, 422, 132, 456)(100, 424, 143, 467)(101, 425, 144, 468)(102, 426, 115, 439)(104, 428, 147, 471)(106, 430, 150, 474)(108, 432, 152, 476)(110, 434, 120, 444)(112, 436, 156, 480)(114, 438, 158, 482)(118, 442, 161, 485)(122, 446, 165, 489)(123, 447, 166, 490)(126, 450, 169, 493)(128, 452, 172, 496)(130, 454, 174, 498)(134, 458, 178, 502)(136, 460, 180, 504)(137, 461, 177, 501)(138, 462, 182, 506)(140, 464, 186, 510)(141, 465, 187, 511)(142, 466, 184, 508)(145, 469, 191, 515)(146, 470, 185, 509)(148, 472, 194, 518)(149, 473, 195, 519)(151, 475, 197, 521)(153, 477, 200, 524)(154, 478, 202, 526)(155, 479, 159, 483)(157, 481, 199, 523)(160, 484, 208, 532)(162, 486, 212, 536)(163, 487, 213, 537)(164, 488, 210, 534)(167, 491, 217, 541)(168, 492, 211, 535)(170, 494, 220, 544)(171, 495, 221, 545)(173, 497, 223, 547)(175, 499, 226, 550)(176, 500, 228, 552)(179, 503, 225, 549)(181, 505, 233, 557)(183, 507, 235, 559)(188, 512, 240, 564)(189, 513, 238, 562)(190, 514, 242, 566)(192, 516, 218, 542)(193, 517, 244, 568)(196, 520, 245, 569)(198, 522, 251, 575)(201, 525, 254, 578)(203, 527, 255, 579)(204, 528, 247, 571)(205, 529, 231, 555)(206, 530, 248, 572)(207, 531, 258, 582)(209, 533, 260, 584)(214, 538, 265, 589)(215, 539, 263, 587)(216, 540, 267, 591)(219, 543, 269, 593)(222, 546, 270, 594)(224, 548, 276, 600)(227, 551, 279, 603)(229, 553, 280, 604)(230, 554, 272, 596)(232, 556, 273, 597)(234, 558, 284, 608)(236, 560, 287, 611)(237, 561, 268, 592)(239, 563, 286, 610)(241, 565, 271, 595)(243, 567, 262, 586)(246, 570, 266, 590)(249, 573, 282, 606)(250, 574, 296, 620)(252, 576, 281, 605)(253, 577, 298, 622)(256, 580, 277, 601)(257, 581, 274, 598)(259, 583, 301, 625)(261, 585, 304, 628)(264, 588, 303, 627)(275, 599, 313, 637)(278, 602, 315, 639)(283, 607, 307, 631)(285, 609, 308, 632)(288, 612, 309, 633)(289, 613, 306, 630)(290, 614, 300, 624)(291, 615, 302, 626)(292, 616, 305, 629)(293, 617, 316, 640)(294, 618, 314, 638)(295, 619, 312, 636)(297, 621, 311, 635)(299, 623, 310, 634)(317, 641, 324, 648)(318, 642, 323, 647)(319, 643, 322, 646)(320, 644, 321, 645)(649, 973, 651, 975, 656, 980, 666, 990, 658, 982, 652, 976)(650, 974, 653, 977, 660, 984, 673, 997, 662, 986, 654, 978)(655, 979, 663, 987, 678, 1002, 705, 1029, 680, 1004, 664, 988)(657, 981, 667, 991, 685, 1009, 717, 1041, 687, 1011, 668, 992)(659, 983, 670, 994, 691, 1015, 724, 1048, 693, 1017, 671, 995)(661, 985, 674, 998, 698, 1022, 736, 1060, 700, 1024, 675, 999)(665, 989, 681, 1005, 709, 1033, 748, 1072, 711, 1035, 682, 1006)(669, 993, 688, 1012, 720, 1044, 762, 1086, 721, 1045, 689, 1013)(672, 996, 694, 1018, 728, 1052, 770, 1094, 730, 1054, 695, 1019)(676, 1000, 701, 1025, 739, 1063, 784, 1108, 740, 1064, 702, 1026)(677, 1001, 703, 1027, 686, 1010, 718, 1042, 741, 1065, 704, 1028)(679, 1003, 706, 1030, 744, 1068, 788, 1112, 745, 1069, 707, 1031)(683, 1007, 712, 1036, 752, 1076, 796, 1120, 754, 1078, 713, 1037)(684, 1008, 714, 1038, 753, 1077, 797, 1121, 756, 1080, 715, 1039)(690, 1014, 722, 1046, 699, 1023, 737, 1061, 763, 1087, 723, 1047)(692, 1016, 725, 1049, 766, 1090, 810, 1134, 767, 1091, 726, 1050)(696, 1020, 731, 1055, 774, 1098, 818, 1142, 776, 1100, 732, 1056)(697, 1021, 733, 1057, 775, 1099, 819, 1143, 778, 1102, 734, 1058)(708, 1032, 746, 1070, 789, 1113, 836, 1160, 790, 1114, 747, 1071)(710, 1034, 749, 1073, 793, 1117, 760, 1084, 719, 1043, 750, 1074)(716, 1040, 757, 1081, 801, 1125, 849, 1173, 802, 1126, 758, 1082)(727, 1051, 768, 1092, 811, 1135, 862, 1186, 812, 1136, 769, 1093)(729, 1053, 771, 1095, 815, 1139, 782, 1106, 738, 1062, 772, 1096)(735, 1059, 779, 1103, 823, 1147, 875, 1199, 824, 1148, 780, 1104)(742, 1066, 777, 1101, 821, 1145, 872, 1196, 829, 1153, 785, 1109)(743, 1067, 781, 1105, 825, 1149, 877, 1201, 831, 1155, 786, 1110)(751, 1075, 794, 1118, 840, 1164, 894, 1218, 841, 1165, 795, 1119)(755, 1079, 799, 1123, 846, 1170, 855, 1179, 807, 1131, 764, 1088)(759, 1083, 803, 1127, 851, 1175, 857, 1181, 808, 1132, 765, 1089)(761, 1085, 798, 1122, 844, 1168, 897, 1221, 853, 1177, 805, 1129)(773, 1097, 816, 1140, 866, 1190, 919, 1243, 867, 1191, 817, 1141)(783, 1107, 820, 1144, 870, 1194, 922, 1246, 879, 1203, 827, 1151)(787, 1111, 832, 1156, 884, 1208, 936, 1260, 885, 1209, 833, 1157)(791, 1115, 830, 1154, 882, 1206, 933, 1257, 889, 1213, 837, 1161)(792, 1116, 834, 1158, 886, 1210, 937, 1261, 891, 1215, 838, 1162)(800, 1124, 847, 1171, 900, 1224, 947, 1271, 901, 1225, 848, 1172)(804, 1128, 852, 1176, 904, 1228, 943, 1267, 896, 1220, 843, 1167)(806, 1130, 854, 1178, 905, 1229, 945, 1269, 898, 1222, 845, 1169)(809, 1133, 858, 1182, 909, 1233, 953, 1277, 910, 1234, 859, 1183)(813, 1137, 856, 1180, 907, 1231, 950, 1274, 914, 1238, 863, 1187)(814, 1138, 860, 1184, 911, 1235, 954, 1278, 916, 1240, 864, 1188)(822, 1146, 873, 1197, 925, 1249, 964, 1288, 926, 1250, 874, 1198)(826, 1150, 878, 1202, 929, 1253, 960, 1284, 921, 1245, 869, 1193)(828, 1152, 880, 1204, 930, 1254, 962, 1286, 923, 1247, 871, 1195)(835, 1159, 881, 1205, 931, 1255, 903, 1227, 850, 1174, 887, 1211)(839, 1163, 892, 1216, 940, 1264, 968, 1292, 941, 1265, 893, 1217)(842, 1166, 890, 1214, 939, 1263, 967, 1291, 942, 1266, 895, 1219)(861, 1185, 906, 1230, 948, 1272, 928, 1252, 876, 1200, 912, 1236)(865, 1189, 917, 1241, 957, 1281, 972, 1296, 958, 1282, 918, 1242)(868, 1192, 915, 1239, 956, 1280, 971, 1295, 959, 1283, 920, 1244)(883, 1207, 934, 1258, 899, 1223, 946, 1270, 966, 1290, 935, 1259)(888, 1212, 938, 1262, 902, 1226, 944, 1268, 965, 1289, 932, 1256)(908, 1232, 951, 1275, 924, 1248, 963, 1287, 970, 1294, 952, 1276)(913, 1237, 955, 1279, 927, 1251, 961, 1285, 969, 1293, 949, 1273)
	L = (1, 650)(2, 649)(3, 655)(4, 657)(5, 659)(6, 661)(7, 651)(8, 665)(9, 652)(10, 669)(11, 653)(12, 672)(13, 654)(14, 676)(15, 677)(16, 679)(17, 656)(18, 683)(19, 684)(20, 686)(21, 658)(22, 690)(23, 692)(24, 660)(25, 696)(26, 697)(27, 699)(28, 662)(29, 663)(30, 702)(31, 664)(32, 708)(33, 700)(34, 710)(35, 666)(36, 667)(37, 716)(38, 668)(39, 694)(40, 719)(41, 691)(42, 670)(43, 689)(44, 671)(45, 727)(46, 687)(47, 729)(48, 673)(49, 674)(50, 735)(51, 675)(52, 681)(53, 738)(54, 678)(55, 722)(56, 733)(57, 742)(58, 743)(59, 737)(60, 680)(61, 747)(62, 682)(63, 751)(64, 745)(65, 753)(66, 723)(67, 755)(68, 685)(69, 759)(70, 726)(71, 688)(72, 761)(73, 757)(74, 703)(75, 714)(76, 764)(77, 765)(78, 718)(79, 693)(80, 769)(81, 695)(82, 773)(83, 767)(84, 775)(85, 704)(86, 777)(87, 698)(88, 781)(89, 707)(90, 701)(91, 783)(92, 779)(93, 772)(94, 705)(95, 706)(96, 787)(97, 712)(98, 780)(99, 709)(100, 791)(101, 792)(102, 763)(103, 711)(104, 795)(105, 713)(106, 798)(107, 715)(108, 800)(109, 721)(110, 768)(111, 717)(112, 804)(113, 720)(114, 806)(115, 750)(116, 724)(117, 725)(118, 809)(119, 731)(120, 758)(121, 728)(122, 813)(123, 814)(124, 741)(125, 730)(126, 817)(127, 732)(128, 820)(129, 734)(130, 822)(131, 740)(132, 746)(133, 736)(134, 826)(135, 739)(136, 828)(137, 825)(138, 830)(139, 744)(140, 834)(141, 835)(142, 832)(143, 748)(144, 749)(145, 839)(146, 833)(147, 752)(148, 842)(149, 843)(150, 754)(151, 845)(152, 756)(153, 848)(154, 850)(155, 807)(156, 760)(157, 847)(158, 762)(159, 803)(160, 856)(161, 766)(162, 860)(163, 861)(164, 858)(165, 770)(166, 771)(167, 865)(168, 859)(169, 774)(170, 868)(171, 869)(172, 776)(173, 871)(174, 778)(175, 874)(176, 876)(177, 785)(178, 782)(179, 873)(180, 784)(181, 881)(182, 786)(183, 883)(184, 790)(185, 794)(186, 788)(187, 789)(188, 888)(189, 886)(190, 890)(191, 793)(192, 866)(193, 892)(194, 796)(195, 797)(196, 893)(197, 799)(198, 899)(199, 805)(200, 801)(201, 902)(202, 802)(203, 903)(204, 895)(205, 879)(206, 896)(207, 906)(208, 808)(209, 908)(210, 812)(211, 816)(212, 810)(213, 811)(214, 913)(215, 911)(216, 915)(217, 815)(218, 840)(219, 917)(220, 818)(221, 819)(222, 918)(223, 821)(224, 924)(225, 827)(226, 823)(227, 927)(228, 824)(229, 928)(230, 920)(231, 853)(232, 921)(233, 829)(234, 932)(235, 831)(236, 935)(237, 916)(238, 837)(239, 934)(240, 836)(241, 919)(242, 838)(243, 910)(244, 841)(245, 844)(246, 914)(247, 852)(248, 854)(249, 930)(250, 944)(251, 846)(252, 929)(253, 946)(254, 849)(255, 851)(256, 925)(257, 922)(258, 855)(259, 949)(260, 857)(261, 952)(262, 891)(263, 863)(264, 951)(265, 862)(266, 894)(267, 864)(268, 885)(269, 867)(270, 870)(271, 889)(272, 878)(273, 880)(274, 905)(275, 961)(276, 872)(277, 904)(278, 963)(279, 875)(280, 877)(281, 900)(282, 897)(283, 955)(284, 882)(285, 956)(286, 887)(287, 884)(288, 957)(289, 954)(290, 948)(291, 950)(292, 953)(293, 964)(294, 962)(295, 960)(296, 898)(297, 959)(298, 901)(299, 958)(300, 938)(301, 907)(302, 939)(303, 912)(304, 909)(305, 940)(306, 937)(307, 931)(308, 933)(309, 936)(310, 947)(311, 945)(312, 943)(313, 923)(314, 942)(315, 926)(316, 941)(317, 972)(318, 971)(319, 970)(320, 969)(321, 968)(322, 967)(323, 966)(324, 965)(325, 973)(326, 974)(327, 975)(328, 976)(329, 977)(330, 978)(331, 979)(332, 980)(333, 981)(334, 982)(335, 983)(336, 984)(337, 985)(338, 986)(339, 987)(340, 988)(341, 989)(342, 990)(343, 991)(344, 992)(345, 993)(346, 994)(347, 995)(348, 996)(349, 997)(350, 998)(351, 999)(352, 1000)(353, 1001)(354, 1002)(355, 1003)(356, 1004)(357, 1005)(358, 1006)(359, 1007)(360, 1008)(361, 1009)(362, 1010)(363, 1011)(364, 1012)(365, 1013)(366, 1014)(367, 1015)(368, 1016)(369, 1017)(370, 1018)(371, 1019)(372, 1020)(373, 1021)(374, 1022)(375, 1023)(376, 1024)(377, 1025)(378, 1026)(379, 1027)(380, 1028)(381, 1029)(382, 1030)(383, 1031)(384, 1032)(385, 1033)(386, 1034)(387, 1035)(388, 1036)(389, 1037)(390, 1038)(391, 1039)(392, 1040)(393, 1041)(394, 1042)(395, 1043)(396, 1044)(397, 1045)(398, 1046)(399, 1047)(400, 1048)(401, 1049)(402, 1050)(403, 1051)(404, 1052)(405, 1053)(406, 1054)(407, 1055)(408, 1056)(409, 1057)(410, 1058)(411, 1059)(412, 1060)(413, 1061)(414, 1062)(415, 1063)(416, 1064)(417, 1065)(418, 1066)(419, 1067)(420, 1068)(421, 1069)(422, 1070)(423, 1071)(424, 1072)(425, 1073)(426, 1074)(427, 1075)(428, 1076)(429, 1077)(430, 1078)(431, 1079)(432, 1080)(433, 1081)(434, 1082)(435, 1083)(436, 1084)(437, 1085)(438, 1086)(439, 1087)(440, 1088)(441, 1089)(442, 1090)(443, 1091)(444, 1092)(445, 1093)(446, 1094)(447, 1095)(448, 1096)(449, 1097)(450, 1098)(451, 1099)(452, 1100)(453, 1101)(454, 1102)(455, 1103)(456, 1104)(457, 1105)(458, 1106)(459, 1107)(460, 1108)(461, 1109)(462, 1110)(463, 1111)(464, 1112)(465, 1113)(466, 1114)(467, 1115)(468, 1116)(469, 1117)(470, 1118)(471, 1119)(472, 1120)(473, 1121)(474, 1122)(475, 1123)(476, 1124)(477, 1125)(478, 1126)(479, 1127)(480, 1128)(481, 1129)(482, 1130)(483, 1131)(484, 1132)(485, 1133)(486, 1134)(487, 1135)(488, 1136)(489, 1137)(490, 1138)(491, 1139)(492, 1140)(493, 1141)(494, 1142)(495, 1143)(496, 1144)(497, 1145)(498, 1146)(499, 1147)(500, 1148)(501, 1149)(502, 1150)(503, 1151)(504, 1152)(505, 1153)(506, 1154)(507, 1155)(508, 1156)(509, 1157)(510, 1158)(511, 1159)(512, 1160)(513, 1161)(514, 1162)(515, 1163)(516, 1164)(517, 1165)(518, 1166)(519, 1167)(520, 1168)(521, 1169)(522, 1170)(523, 1171)(524, 1172)(525, 1173)(526, 1174)(527, 1175)(528, 1176)(529, 1177)(530, 1178)(531, 1179)(532, 1180)(533, 1181)(534, 1182)(535, 1183)(536, 1184)(537, 1185)(538, 1186)(539, 1187)(540, 1188)(541, 1189)(542, 1190)(543, 1191)(544, 1192)(545, 1193)(546, 1194)(547, 1195)(548, 1196)(549, 1197)(550, 1198)(551, 1199)(552, 1200)(553, 1201)(554, 1202)(555, 1203)(556, 1204)(557, 1205)(558, 1206)(559, 1207)(560, 1208)(561, 1209)(562, 1210)(563, 1211)(564, 1212)(565, 1213)(566, 1214)(567, 1215)(568, 1216)(569, 1217)(570, 1218)(571, 1219)(572, 1220)(573, 1221)(574, 1222)(575, 1223)(576, 1224)(577, 1225)(578, 1226)(579, 1227)(580, 1228)(581, 1229)(582, 1230)(583, 1231)(584, 1232)(585, 1233)(586, 1234)(587, 1235)(588, 1236)(589, 1237)(590, 1238)(591, 1239)(592, 1240)(593, 1241)(594, 1242)(595, 1243)(596, 1244)(597, 1245)(598, 1246)(599, 1247)(600, 1248)(601, 1249)(602, 1250)(603, 1251)(604, 1252)(605, 1253)(606, 1254)(607, 1255)(608, 1256)(609, 1257)(610, 1258)(611, 1259)(612, 1260)(613, 1261)(614, 1262)(615, 1263)(616, 1264)(617, 1265)(618, 1266)(619, 1267)(620, 1268)(621, 1269)(622, 1270)(623, 1271)(624, 1272)(625, 1273)(626, 1274)(627, 1275)(628, 1276)(629, 1277)(630, 1278)(631, 1279)(632, 1280)(633, 1281)(634, 1282)(635, 1283)(636, 1284)(637, 1285)(638, 1286)(639, 1287)(640, 1288)(641, 1289)(642, 1290)(643, 1291)(644, 1292)(645, 1293)(646, 1294)(647, 1295)(648, 1296)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3237
Graph:: bipartite
	v = 216 e = 648 f = 378
	degree seq :: [ 4^162, 12^54 ]

E28.3234 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = C2 x (((C9 x C3) : C3) : C2) (small group id <324, 73>)
Aut   = $<648, 301>$ (small group id <648, 301>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2^-1 * Y1^-1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, Y1^6, Y2^6, (Y2 * Y1^-1 * Y2)^2, Y1^-1 * Y2^-1 * Y1^3 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2, Y1 * Y2^-1 * Y1^6 * Y2^-1 * Y1 * Y2^-2, Y2 * Y1^-2 * Y2^-1 * Y1^2 * Y2^-1 * Y1^2 * Y2 * Y1^-2 * Y2 * Y1^-1 * Y2 * Y1^-3, Y1^-1 * Y2^-1 * Y1^2 * Y2 * Y1^-2 * Y2^-1 * Y1 * Y2^-1 * Y1^-3 * Y2^-1 * Y1 * Y2^-1 * Y1^-2 ]
Map::
	R = (1, 325, 2, 326, 6, 330, 16, 340, 13, 337, 4, 328)(3, 327, 9, 333, 23, 347, 47, 371, 28, 352, 11, 335)(5, 329, 14, 338, 33, 357, 44, 368, 20, 344, 7, 331)(8, 332, 21, 345, 45, 369, 71, 395, 38, 362, 17, 341)(10, 334, 25, 349, 52, 376, 80, 404, 46, 370, 22, 346)(12, 336, 29, 353, 57, 381, 95, 419, 60, 384, 31, 355)(15, 339, 30, 354, 59, 383, 98, 422, 63, 387, 34, 358)(18, 342, 39, 363, 72, 396, 105, 429, 65, 389, 35, 359)(19, 343, 41, 365, 74, 398, 114, 438, 73, 397, 40, 364)(24, 348, 50, 374, 86, 410, 129, 453, 84, 408, 48, 372)(26, 350, 42, 366, 69, 393, 103, 427, 87, 411, 51, 375)(27, 351, 54, 378, 91, 415, 135, 459, 93, 417, 55, 379)(32, 356, 36, 360, 66, 390, 106, 430, 100, 424, 61, 385)(37, 361, 68, 392, 108, 432, 153, 477, 107, 431, 67, 391)(43, 367, 76, 400, 118, 442, 165, 489, 120, 444, 77, 401)(49, 373, 85, 409, 130, 454, 173, 497, 124, 448, 81, 405)(53, 377, 90, 414, 134, 458, 183, 507, 132, 456, 88, 412)(56, 380, 82, 406, 125, 449, 174, 498, 139, 463, 94, 418)(58, 382, 64, 388, 102, 426, 147, 471, 142, 466, 96, 420)(62, 386, 101, 425, 146, 470, 169, 493, 121, 445, 78, 402)(70, 394, 110, 434, 157, 481, 210, 534, 159, 483, 111, 435)(75, 399, 117, 441, 164, 488, 217, 541, 162, 486, 115, 439)(79, 403, 122, 446, 170, 494, 214, 538, 160, 484, 112, 436)(83, 407, 127, 451, 176, 500, 233, 557, 175, 499, 126, 450)(89, 413, 133, 457, 184, 508, 222, 546, 166, 490, 119, 443)(92, 416, 123, 447, 171, 495, 227, 551, 188, 512, 136, 460)(97, 421, 143, 467, 195, 519, 252, 576, 192, 516, 140, 464)(99, 423, 141, 465, 193, 517, 253, 577, 196, 520, 144, 468)(104, 428, 149, 473, 202, 526, 262, 586, 204, 528, 150, 474)(109, 433, 156, 480, 209, 533, 269, 593, 207, 531, 154, 478)(113, 437, 161, 485, 215, 539, 266, 590, 205, 529, 151, 475)(116, 440, 163, 487, 218, 542, 274, 598, 211, 535, 158, 482)(128, 452, 177, 501, 235, 559, 296, 620, 236, 560, 178, 502)(131, 455, 181, 505, 239, 563, 299, 623, 237, 561, 179, 503)(137, 461, 189, 513, 248, 572, 265, 589, 245, 569, 186, 510)(138, 462, 187, 511, 246, 570, 264, 588, 249, 573, 190, 514)(145, 469, 152, 476, 206, 530, 267, 591, 257, 581, 197, 521)(148, 472, 201, 525, 261, 585, 309, 633, 259, 583, 199, 523)(155, 479, 208, 532, 270, 594, 312, 636, 263, 587, 203, 527)(167, 491, 223, 547, 287, 611, 251, 575, 284, 608, 220, 544)(168, 492, 221, 545, 285, 609, 255, 579, 288, 612, 224, 548)(172, 496, 229, 553, 272, 596, 212, 536, 275, 599, 230, 554)(180, 504, 238, 562, 276, 600, 213, 537, 273, 597, 231, 555)(182, 506, 240, 564, 301, 625, 311, 635, 302, 626, 241, 565)(185, 509, 244, 568, 305, 629, 308, 632, 303, 627, 242, 566)(191, 515, 232, 556, 277, 601, 226, 550, 290, 614, 250, 574)(194, 518, 200, 524, 260, 584, 310, 634, 307, 631, 254, 578)(198, 522, 258, 582, 278, 602, 256, 580, 289, 613, 225, 549)(216, 540, 279, 603, 319, 643, 300, 624, 320, 644, 280, 604)(219, 543, 283, 607, 323, 647, 297, 621, 321, 645, 281, 605)(228, 552, 293, 617, 315, 639, 271, 595, 317, 641, 291, 615)(234, 558, 295, 619, 314, 638, 268, 592, 313, 637, 294, 618)(243, 567, 304, 628, 316, 640, 298, 622, 324, 648, 286, 610)(247, 571, 292, 616, 318, 642, 282, 606, 322, 646, 306, 630)(649, 973, 651, 975, 658, 982, 674, 998, 663, 987, 653, 977)(650, 974, 655, 979, 667, 991, 690, 1014, 670, 994, 656, 980)(652, 976, 660, 984, 678, 1002, 699, 1023, 672, 996, 657, 981)(654, 978, 665, 989, 685, 1009, 717, 1041, 688, 1012, 666, 990)(659, 983, 675, 999, 662, 986, 682, 1006, 701, 1025, 673, 997)(661, 985, 680, 1004, 698, 1022, 735, 1059, 706, 1030, 677, 1001)(664, 988, 683, 1007, 712, 1036, 751, 1075, 715, 1039, 684, 1008)(668, 992, 691, 1015, 669, 993, 694, 1018, 723, 1047, 689, 1013)(671, 995, 696, 1020, 731, 1055, 707, 1031, 679, 1003, 697, 1021)(676, 1000, 704, 1028, 738, 1062, 711, 1035, 740, 1064, 702, 1026)(681, 1005, 703, 1027, 737, 1061, 700, 1024, 736, 1060, 710, 1034)(686, 1010, 718, 1042, 687, 1011, 721, 1045, 757, 1081, 716, 1040)(692, 1016, 726, 1050, 765, 1089, 728, 1052, 767, 1091, 724, 1048)(693, 1017, 725, 1049, 764, 1088, 722, 1046, 763, 1087, 727, 1051)(695, 1019, 729, 1053, 771, 1095, 746, 1070, 774, 1098, 730, 1054)(705, 1029, 744, 1068, 779, 1103, 734, 1058, 709, 1033, 745, 1069)(708, 1032, 747, 1071, 775, 1099, 732, 1056, 776, 1100, 733, 1057)(713, 1037, 752, 1076, 714, 1038, 755, 1079, 796, 1120, 750, 1074)(719, 1043, 760, 1084, 804, 1128, 762, 1086, 806, 1130, 758, 1082)(720, 1044, 759, 1083, 803, 1127, 756, 1080, 802, 1126, 761, 1085)(739, 1063, 784, 1108, 833, 1157, 782, 1106, 742, 1066, 785, 1109)(741, 1065, 786, 1110, 749, 1073, 780, 1104, 830, 1154, 781, 1105)(743, 1067, 788, 1112, 825, 1149, 777, 1101, 827, 1151, 789, 1113)(748, 1072, 793, 1117, 829, 1153, 790, 1114, 842, 1166, 791, 1115)(753, 1077, 799, 1123, 849, 1173, 801, 1125, 851, 1175, 797, 1121)(754, 1078, 798, 1122, 848, 1172, 795, 1119, 847, 1171, 800, 1124)(766, 1090, 814, 1138, 867, 1191, 812, 1136, 769, 1093, 815, 1139)(768, 1092, 816, 1140, 770, 1094, 810, 1134, 864, 1188, 811, 1135)(772, 1096, 820, 1144, 773, 1097, 823, 1147, 876, 1200, 819, 1143)(778, 1102, 826, 1150, 882, 1206, 824, 1148, 792, 1116, 828, 1152)(783, 1107, 834, 1158, 888, 1212, 831, 1155, 890, 1214, 835, 1159)(787, 1111, 839, 1163, 892, 1216, 836, 1160, 895, 1219, 837, 1161)(794, 1118, 838, 1162, 891, 1215, 832, 1156, 889, 1213, 846, 1170)(805, 1129, 859, 1183, 919, 1243, 857, 1181, 808, 1132, 860, 1184)(807, 1131, 861, 1185, 809, 1133, 855, 1179, 916, 1240, 856, 1180)(813, 1137, 868, 1192, 927, 1251, 865, 1189, 929, 1253, 869, 1193)(817, 1141, 873, 1197, 931, 1255, 870, 1194, 934, 1258, 871, 1195)(818, 1142, 872, 1196, 930, 1254, 866, 1190, 928, 1252, 874, 1198)(821, 1145, 879, 1203, 941, 1265, 881, 1205, 942, 1266, 877, 1201)(822, 1146, 878, 1202, 940, 1264, 875, 1199, 939, 1263, 880, 1204)(840, 1164, 899, 1223, 841, 1165, 885, 1209, 945, 1269, 883, 1207)(843, 1167, 902, 1226, 948, 1272, 887, 1211, 845, 1169, 903, 1227)(844, 1168, 904, 1228, 943, 1267, 884, 1208, 946, 1270, 886, 1210)(850, 1174, 911, 1235, 959, 1283, 909, 1233, 853, 1177, 912, 1236)(852, 1176, 913, 1237, 854, 1178, 907, 1231, 956, 1280, 908, 1232)(858, 1182, 920, 1244, 961, 1285, 917, 1241, 963, 1287, 921, 1245)(862, 1186, 925, 1249, 965, 1289, 922, 1246, 966, 1290, 923, 1247)(863, 1187, 924, 1248, 964, 1288, 918, 1242, 962, 1286, 926, 1250)(893, 1217, 910, 1234, 894, 1218, 951, 1275, 957, 1281, 949, 1273)(896, 1220, 954, 1278, 958, 1282, 953, 1277, 898, 1222, 915, 1239)(897, 1221, 914, 1238, 906, 1230, 950, 1274, 960, 1284, 952, 1276)(900, 1224, 933, 1257, 969, 1293, 947, 1271, 967, 1291, 932, 1256)(901, 1225, 935, 1259, 972, 1296, 944, 1268, 971, 1295, 937, 1261)(905, 1229, 938, 1262, 968, 1292, 955, 1279, 970, 1294, 936, 1260)
	L = (1, 651)(2, 655)(3, 658)(4, 660)(5, 649)(6, 665)(7, 667)(8, 650)(9, 652)(10, 674)(11, 675)(12, 678)(13, 680)(14, 682)(15, 653)(16, 683)(17, 685)(18, 654)(19, 690)(20, 691)(21, 694)(22, 656)(23, 696)(24, 657)(25, 659)(26, 663)(27, 662)(28, 704)(29, 661)(30, 699)(31, 697)(32, 698)(33, 703)(34, 701)(35, 712)(36, 664)(37, 717)(38, 718)(39, 721)(40, 666)(41, 668)(42, 670)(43, 669)(44, 726)(45, 725)(46, 723)(47, 729)(48, 731)(49, 671)(50, 735)(51, 672)(52, 736)(53, 673)(54, 676)(55, 737)(56, 738)(57, 744)(58, 677)(59, 679)(60, 747)(61, 745)(62, 681)(63, 740)(64, 751)(65, 752)(66, 755)(67, 684)(68, 686)(69, 688)(70, 687)(71, 760)(72, 759)(73, 757)(74, 763)(75, 689)(76, 692)(77, 764)(78, 765)(79, 693)(80, 767)(81, 771)(82, 695)(83, 707)(84, 776)(85, 708)(86, 709)(87, 706)(88, 710)(89, 700)(90, 711)(91, 784)(92, 702)(93, 786)(94, 785)(95, 788)(96, 779)(97, 705)(98, 774)(99, 775)(100, 793)(101, 780)(102, 713)(103, 715)(104, 714)(105, 799)(106, 798)(107, 796)(108, 802)(109, 716)(110, 719)(111, 803)(112, 804)(113, 720)(114, 806)(115, 727)(116, 722)(117, 728)(118, 814)(119, 724)(120, 816)(121, 815)(122, 810)(123, 746)(124, 820)(125, 823)(126, 730)(127, 732)(128, 733)(129, 827)(130, 826)(131, 734)(132, 830)(133, 741)(134, 742)(135, 834)(136, 833)(137, 739)(138, 749)(139, 839)(140, 825)(141, 743)(142, 842)(143, 748)(144, 828)(145, 829)(146, 838)(147, 847)(148, 750)(149, 753)(150, 848)(151, 849)(152, 754)(153, 851)(154, 761)(155, 756)(156, 762)(157, 859)(158, 758)(159, 861)(160, 860)(161, 855)(162, 864)(163, 768)(164, 769)(165, 868)(166, 867)(167, 766)(168, 770)(169, 873)(170, 872)(171, 772)(172, 773)(173, 879)(174, 878)(175, 876)(176, 792)(177, 777)(178, 882)(179, 789)(180, 778)(181, 790)(182, 781)(183, 890)(184, 889)(185, 782)(186, 888)(187, 783)(188, 895)(189, 787)(190, 891)(191, 892)(192, 899)(193, 885)(194, 791)(195, 902)(196, 904)(197, 903)(198, 794)(199, 800)(200, 795)(201, 801)(202, 911)(203, 797)(204, 913)(205, 912)(206, 907)(207, 916)(208, 807)(209, 808)(210, 920)(211, 919)(212, 805)(213, 809)(214, 925)(215, 924)(216, 811)(217, 929)(218, 928)(219, 812)(220, 927)(221, 813)(222, 934)(223, 817)(224, 930)(225, 931)(226, 818)(227, 939)(228, 819)(229, 821)(230, 940)(231, 941)(232, 822)(233, 942)(234, 824)(235, 840)(236, 946)(237, 945)(238, 844)(239, 845)(240, 831)(241, 846)(242, 835)(243, 832)(244, 836)(245, 910)(246, 951)(247, 837)(248, 954)(249, 914)(250, 915)(251, 841)(252, 933)(253, 935)(254, 948)(255, 843)(256, 943)(257, 938)(258, 950)(259, 956)(260, 852)(261, 853)(262, 894)(263, 959)(264, 850)(265, 854)(266, 906)(267, 896)(268, 856)(269, 963)(270, 962)(271, 857)(272, 961)(273, 858)(274, 966)(275, 862)(276, 964)(277, 965)(278, 863)(279, 865)(280, 874)(281, 869)(282, 866)(283, 870)(284, 900)(285, 969)(286, 871)(287, 972)(288, 905)(289, 901)(290, 968)(291, 880)(292, 875)(293, 881)(294, 877)(295, 884)(296, 971)(297, 883)(298, 886)(299, 967)(300, 887)(301, 893)(302, 960)(303, 957)(304, 897)(305, 898)(306, 958)(307, 970)(308, 908)(309, 949)(310, 953)(311, 909)(312, 952)(313, 917)(314, 926)(315, 921)(316, 918)(317, 922)(318, 923)(319, 932)(320, 955)(321, 947)(322, 936)(323, 937)(324, 944)(325, 973)(326, 974)(327, 975)(328, 976)(329, 977)(330, 978)(331, 979)(332, 980)(333, 981)(334, 982)(335, 983)(336, 984)(337, 985)(338, 986)(339, 987)(340, 988)(341, 989)(342, 990)(343, 991)(344, 992)(345, 993)(346, 994)(347, 995)(348, 996)(349, 997)(350, 998)(351, 999)(352, 1000)(353, 1001)(354, 1002)(355, 1003)(356, 1004)(357, 1005)(358, 1006)(359, 1007)(360, 1008)(361, 1009)(362, 1010)(363, 1011)(364, 1012)(365, 1013)(366, 1014)(367, 1015)(368, 1016)(369, 1017)(370, 1018)(371, 1019)(372, 1020)(373, 1021)(374, 1022)(375, 1023)(376, 1024)(377, 1025)(378, 1026)(379, 1027)(380, 1028)(381, 1029)(382, 1030)(383, 1031)(384, 1032)(385, 1033)(386, 1034)(387, 1035)(388, 1036)(389, 1037)(390, 1038)(391, 1039)(392, 1040)(393, 1041)(394, 1042)(395, 1043)(396, 1044)(397, 1045)(398, 1046)(399, 1047)(400, 1048)(401, 1049)(402, 1050)(403, 1051)(404, 1052)(405, 1053)(406, 1054)(407, 1055)(408, 1056)(409, 1057)(410, 1058)(411, 1059)(412, 1060)(413, 1061)(414, 1062)(415, 1063)(416, 1064)(417, 1065)(418, 1066)(419, 1067)(420, 1068)(421, 1069)(422, 1070)(423, 1071)(424, 1072)(425, 1073)(426, 1074)(427, 1075)(428, 1076)(429, 1077)(430, 1078)(431, 1079)(432, 1080)(433, 1081)(434, 1082)(435, 1083)(436, 1084)(437, 1085)(438, 1086)(439, 1087)(440, 1088)(441, 1089)(442, 1090)(443, 1091)(444, 1092)(445, 1093)(446, 1094)(447, 1095)(448, 1096)(449, 1097)(450, 1098)(451, 1099)(452, 1100)(453, 1101)(454, 1102)(455, 1103)(456, 1104)(457, 1105)(458, 1106)(459, 1107)(460, 1108)(461, 1109)(462, 1110)(463, 1111)(464, 1112)(465, 1113)(466, 1114)(467, 1115)(468, 1116)(469, 1117)(470, 1118)(471, 1119)(472, 1120)(473, 1121)(474, 1122)(475, 1123)(476, 1124)(477, 1125)(478, 1126)(479, 1127)(480, 1128)(481, 1129)(482, 1130)(483, 1131)(484, 1132)(485, 1133)(486, 1134)(487, 1135)(488, 1136)(489, 1137)(490, 1138)(491, 1139)(492, 1140)(493, 1141)(494, 1142)(495, 1143)(496, 1144)(497, 1145)(498, 1146)(499, 1147)(500, 1148)(501, 1149)(502, 1150)(503, 1151)(504, 1152)(505, 1153)(506, 1154)(507, 1155)(508, 1156)(509, 1157)(510, 1158)(511, 1159)(512, 1160)(513, 1161)(514, 1162)(515, 1163)(516, 1164)(517, 1165)(518, 1166)(519, 1167)(520, 1168)(521, 1169)(522, 1170)(523, 1171)(524, 1172)(525, 1173)(526, 1174)(527, 1175)(528, 1176)(529, 1177)(530, 1178)(531, 1179)(532, 1180)(533, 1181)(534, 1182)(535, 1183)(536, 1184)(537, 1185)(538, 1186)(539, 1187)(540, 1188)(541, 1189)(542, 1190)(543, 1191)(544, 1192)(545, 1193)(546, 1194)(547, 1195)(548, 1196)(549, 1197)(550, 1198)(551, 1199)(552, 1200)(553, 1201)(554, 1202)(555, 1203)(556, 1204)(557, 1205)(558, 1206)(559, 1207)(560, 1208)(561, 1209)(562, 1210)(563, 1211)(564, 1212)(565, 1213)(566, 1214)(567, 1215)(568, 1216)(569, 1217)(570, 1218)(571, 1219)(572, 1220)(573, 1221)(574, 1222)(575, 1223)(576, 1224)(577, 1225)(578, 1226)(579, 1227)(580, 1228)(581, 1229)(582, 1230)(583, 1231)(584, 1232)(585, 1233)(586, 1234)(587, 1235)(588, 1236)(589, 1237)(590, 1238)(591, 1239)(592, 1240)(593, 1241)(594, 1242)(595, 1243)(596, 1244)(597, 1245)(598, 1246)(599, 1247)(600, 1248)(601, 1249)(602, 1250)(603, 1251)(604, 1252)(605, 1253)(606, 1254)(607, 1255)(608, 1256)(609, 1257)(610, 1258)(611, 1259)(612, 1260)(613, 1261)(614, 1262)(615, 1263)(616, 1264)(617, 1265)(618, 1266)(619, 1267)(620, 1268)(621, 1269)(622, 1270)(623, 1271)(624, 1272)(625, 1273)(626, 1274)(627, 1275)(628, 1276)(629, 1277)(630, 1278)(631, 1279)(632, 1280)(633, 1281)(634, 1282)(635, 1283)(636, 1284)(637, 1285)(638, 1286)(639, 1287)(640, 1288)(641, 1289)(642, 1290)(643, 1291)(644, 1292)(645, 1293)(646, 1294)(647, 1295)(648, 1296)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.3235
Graph:: bipartite
	v = 108 e = 648 f = 486
	degree seq :: [ 12^108 ]

E28.3235 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = C2 x (((C9 x C3) : C3) : C2) (small group id <324, 73>)
Aut   = $<648, 301>$ (small group id <648, 301>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y2 * Y3^3 * Y2 * Y3^-1, (Y3 * Y2)^6, (Y3^-1 * Y1^-1)^6, (Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^2 * Y2)^2, Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 ]
Map:: polytopal
	R = (1, 325)(2, 326)(3, 327)(4, 328)(5, 329)(6, 330)(7, 331)(8, 332)(9, 333)(10, 334)(11, 335)(12, 336)(13, 337)(14, 338)(15, 339)(16, 340)(17, 341)(18, 342)(19, 343)(20, 344)(21, 345)(22, 346)(23, 347)(24, 348)(25, 349)(26, 350)(27, 351)(28, 352)(29, 353)(30, 354)(31, 355)(32, 356)(33, 357)(34, 358)(35, 359)(36, 360)(37, 361)(38, 362)(39, 363)(40, 364)(41, 365)(42, 366)(43, 367)(44, 368)(45, 369)(46, 370)(47, 371)(48, 372)(49, 373)(50, 374)(51, 375)(52, 376)(53, 377)(54, 378)(55, 379)(56, 380)(57, 381)(58, 382)(59, 383)(60, 384)(61, 385)(62, 386)(63, 387)(64, 388)(65, 389)(66, 390)(67, 391)(68, 392)(69, 393)(70, 394)(71, 395)(72, 396)(73, 397)(74, 398)(75, 399)(76, 400)(77, 401)(78, 402)(79, 403)(80, 404)(81, 405)(82, 406)(83, 407)(84, 408)(85, 409)(86, 410)(87, 411)(88, 412)(89, 413)(90, 414)(91, 415)(92, 416)(93, 417)(94, 418)(95, 419)(96, 420)(97, 421)(98, 422)(99, 423)(100, 424)(101, 425)(102, 426)(103, 427)(104, 428)(105, 429)(106, 430)(107, 431)(108, 432)(109, 433)(110, 434)(111, 435)(112, 436)(113, 437)(114, 438)(115, 439)(116, 440)(117, 441)(118, 442)(119, 443)(120, 444)(121, 445)(122, 446)(123, 447)(124, 448)(125, 449)(126, 450)(127, 451)(128, 452)(129, 453)(130, 454)(131, 455)(132, 456)(133, 457)(134, 458)(135, 459)(136, 460)(137, 461)(138, 462)(139, 463)(140, 464)(141, 465)(142, 466)(143, 467)(144, 468)(145, 469)(146, 470)(147, 471)(148, 472)(149, 473)(150, 474)(151, 475)(152, 476)(153, 477)(154, 478)(155, 479)(156, 480)(157, 481)(158, 482)(159, 483)(160, 484)(161, 485)(162, 486)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)(649, 973, 650, 974)(651, 975, 655, 979)(652, 976, 657, 981)(653, 977, 659, 983)(654, 978, 661, 985)(656, 980, 665, 989)(658, 982, 669, 993)(660, 984, 672, 996)(662, 986, 676, 1000)(663, 987, 677, 1001)(664, 988, 679, 1003)(666, 990, 673, 997)(667, 991, 683, 1007)(668, 992, 684, 1008)(670, 994, 685, 1009)(671, 995, 687, 1011)(674, 998, 691, 1015)(675, 999, 692, 1016)(678, 1002, 695, 1019)(680, 1004, 698, 1022)(681, 1005, 699, 1023)(682, 1006, 700, 1024)(686, 1010, 707, 1031)(688, 1012, 710, 1034)(689, 1013, 711, 1035)(690, 1014, 712, 1036)(693, 1017, 716, 1040)(694, 1018, 718, 1042)(696, 1020, 722, 1046)(697, 1021, 723, 1047)(701, 1025, 728, 1052)(702, 1026, 729, 1053)(703, 1027, 730, 1054)(704, 1028, 705, 1029)(706, 1030, 732, 1056)(708, 1032, 736, 1060)(709, 1033, 737, 1061)(713, 1037, 742, 1066)(714, 1038, 743, 1067)(715, 1039, 744, 1068)(717, 1041, 745, 1069)(719, 1043, 741, 1065)(720, 1044, 748, 1072)(721, 1045, 749, 1073)(724, 1048, 753, 1077)(725, 1049, 754, 1078)(726, 1050, 755, 1079)(727, 1051, 733, 1057)(731, 1055, 760, 1084)(734, 1058, 763, 1087)(735, 1059, 764, 1088)(738, 1062, 768, 1092)(739, 1063, 769, 1093)(740, 1064, 770, 1094)(746, 1070, 777, 1101)(747, 1071, 778, 1102)(750, 1074, 782, 1106)(751, 1075, 783, 1107)(752, 1076, 784, 1108)(756, 1080, 789, 1113)(757, 1081, 790, 1114)(758, 1082, 791, 1115)(759, 1083, 792, 1116)(761, 1085, 795, 1119)(762, 1086, 796, 1120)(765, 1089, 800, 1124)(766, 1090, 801, 1125)(767, 1091, 802, 1126)(771, 1095, 807, 1131)(772, 1096, 808, 1132)(773, 1097, 809, 1133)(774, 1098, 810, 1134)(775, 1099, 811, 1135)(776, 1100, 812, 1136)(779, 1103, 816, 1140)(780, 1104, 817, 1141)(781, 1105, 818, 1142)(785, 1109, 823, 1147)(786, 1110, 824, 1148)(787, 1111, 825, 1149)(788, 1112, 826, 1150)(793, 1117, 832, 1156)(794, 1118, 833, 1157)(797, 1121, 837, 1161)(798, 1122, 838, 1162)(799, 1123, 839, 1163)(803, 1127, 844, 1168)(804, 1128, 845, 1169)(805, 1129, 846, 1170)(806, 1130, 847, 1171)(813, 1137, 852, 1176)(814, 1138, 856, 1180)(815, 1139, 857, 1181)(819, 1143, 862, 1186)(820, 1144, 863, 1187)(821, 1145, 864, 1188)(822, 1146, 865, 1189)(827, 1151, 871, 1195)(828, 1152, 872, 1196)(829, 1153, 873, 1197)(830, 1154, 874, 1198)(831, 1155, 834, 1158)(835, 1159, 878, 1202)(836, 1160, 879, 1203)(840, 1164, 884, 1208)(841, 1165, 885, 1209)(842, 1166, 886, 1210)(843, 1167, 887, 1211)(848, 1172, 893, 1217)(849, 1173, 894, 1218)(850, 1174, 895, 1219)(851, 1175, 896, 1220)(853, 1177, 892, 1216)(854, 1178, 897, 1221)(855, 1179, 898, 1222)(858, 1182, 903, 1227)(859, 1183, 904, 1228)(860, 1184, 905, 1229)(861, 1185, 906, 1230)(866, 1190, 911, 1235)(867, 1191, 912, 1236)(868, 1192, 913, 1237)(869, 1193, 914, 1238)(870, 1194, 875, 1199)(876, 1200, 921, 1245)(877, 1201, 922, 1246)(880, 1204, 927, 1251)(881, 1205, 928, 1252)(882, 1206, 929, 1253)(883, 1207, 930, 1254)(888, 1212, 935, 1259)(889, 1213, 936, 1260)(890, 1214, 937, 1261)(891, 1215, 938, 1262)(899, 1223, 931, 1255)(900, 1224, 926, 1250)(901, 1225, 925, 1249)(902, 1226, 924, 1248)(907, 1231, 923, 1247)(908, 1232, 939, 1263)(909, 1233, 934, 1258)(910, 1234, 933, 1257)(915, 1239, 932, 1256)(916, 1240, 944, 1268)(917, 1241, 943, 1267)(918, 1242, 942, 1266)(919, 1243, 941, 1265)(920, 1244, 940, 1264)(945, 1269, 963, 1287)(946, 1270, 962, 1286)(947, 1271, 961, 1285)(948, 1272, 960, 1284)(949, 1273, 959, 1283)(950, 1274, 967, 1291)(951, 1275, 966, 1290)(952, 1276, 965, 1289)(953, 1277, 964, 1288)(954, 1278, 972, 1296)(955, 1279, 971, 1295)(956, 1280, 970, 1294)(957, 1281, 969, 1293)(958, 1282, 968, 1292)
	L = (1, 651)(2, 653)(3, 656)(4, 649)(5, 660)(6, 650)(7, 663)(8, 666)(9, 667)(10, 652)(11, 670)(12, 673)(13, 674)(14, 654)(15, 678)(16, 655)(17, 681)(18, 658)(19, 682)(20, 657)(21, 680)(22, 686)(23, 659)(24, 689)(25, 662)(26, 690)(27, 661)(28, 688)(29, 693)(30, 669)(31, 696)(32, 664)(33, 668)(34, 665)(35, 701)(36, 703)(37, 705)(38, 676)(39, 708)(40, 671)(41, 675)(42, 672)(43, 713)(44, 715)(45, 717)(46, 677)(47, 720)(48, 721)(49, 679)(50, 719)(51, 724)(52, 726)(53, 725)(54, 683)(55, 727)(56, 684)(57, 731)(58, 685)(59, 734)(60, 735)(61, 687)(62, 733)(63, 738)(64, 740)(65, 739)(66, 691)(67, 741)(68, 692)(69, 698)(70, 746)(71, 694)(72, 697)(73, 695)(74, 750)(75, 752)(76, 702)(77, 699)(78, 704)(79, 700)(80, 749)(81, 756)(82, 758)(83, 710)(84, 761)(85, 706)(86, 709)(87, 707)(88, 765)(89, 767)(90, 714)(91, 711)(92, 716)(93, 712)(94, 764)(95, 771)(96, 773)(97, 775)(98, 776)(99, 718)(100, 779)(101, 781)(102, 780)(103, 722)(104, 728)(105, 723)(106, 785)(107, 787)(108, 786)(109, 729)(110, 788)(111, 730)(112, 793)(113, 794)(114, 732)(115, 797)(116, 799)(117, 798)(118, 736)(119, 742)(120, 737)(121, 803)(122, 805)(123, 804)(124, 743)(125, 806)(126, 744)(127, 747)(128, 745)(129, 813)(130, 815)(131, 751)(132, 748)(133, 753)(134, 812)(135, 819)(136, 821)(137, 757)(138, 754)(139, 759)(140, 755)(141, 827)(142, 829)(143, 824)(144, 830)(145, 762)(146, 760)(147, 834)(148, 836)(149, 766)(150, 763)(151, 768)(152, 833)(153, 840)(154, 842)(155, 772)(156, 769)(157, 774)(158, 770)(159, 848)(160, 850)(161, 845)(162, 851)(163, 853)(164, 855)(165, 854)(166, 777)(167, 782)(168, 778)(169, 858)(170, 860)(171, 859)(172, 783)(173, 861)(174, 784)(175, 866)(176, 868)(177, 790)(178, 869)(179, 867)(180, 789)(181, 791)(182, 870)(183, 792)(184, 875)(185, 877)(186, 876)(187, 795)(188, 800)(189, 796)(190, 880)(191, 882)(192, 881)(193, 801)(194, 883)(195, 802)(196, 888)(197, 890)(198, 808)(199, 891)(200, 889)(201, 807)(202, 809)(203, 892)(204, 810)(205, 814)(206, 811)(207, 816)(208, 899)(209, 901)(210, 820)(211, 817)(212, 822)(213, 818)(214, 907)(215, 909)(216, 904)(217, 910)(218, 828)(219, 823)(220, 825)(221, 831)(222, 826)(223, 906)(224, 915)(225, 917)(226, 919)(227, 835)(228, 832)(229, 837)(230, 923)(231, 925)(232, 841)(233, 838)(234, 843)(235, 839)(236, 931)(237, 933)(238, 928)(239, 934)(240, 849)(241, 844)(242, 846)(243, 852)(244, 847)(245, 930)(246, 939)(247, 941)(248, 943)(249, 945)(250, 947)(251, 946)(252, 856)(253, 948)(254, 857)(255, 949)(256, 951)(257, 863)(258, 952)(259, 950)(260, 862)(261, 864)(262, 871)(263, 865)(264, 953)(265, 955)(266, 957)(267, 954)(268, 872)(269, 956)(270, 873)(271, 958)(272, 874)(273, 959)(274, 961)(275, 960)(276, 878)(277, 962)(278, 879)(279, 963)(280, 965)(281, 885)(282, 966)(283, 964)(284, 884)(285, 886)(286, 893)(287, 887)(288, 967)(289, 969)(290, 971)(291, 968)(292, 894)(293, 970)(294, 895)(295, 972)(296, 896)(297, 900)(298, 897)(299, 902)(300, 898)(301, 908)(302, 903)(303, 905)(304, 911)(305, 916)(306, 912)(307, 918)(308, 913)(309, 920)(310, 914)(311, 924)(312, 921)(313, 926)(314, 922)(315, 932)(316, 927)(317, 929)(318, 935)(319, 940)(320, 936)(321, 942)(322, 937)(323, 944)(324, 938)(325, 973)(326, 974)(327, 975)(328, 976)(329, 977)(330, 978)(331, 979)(332, 980)(333, 981)(334, 982)(335, 983)(336, 984)(337, 985)(338, 986)(339, 987)(340, 988)(341, 989)(342, 990)(343, 991)(344, 992)(345, 993)(346, 994)(347, 995)(348, 996)(349, 997)(350, 998)(351, 999)(352, 1000)(353, 1001)(354, 1002)(355, 1003)(356, 1004)(357, 1005)(358, 1006)(359, 1007)(360, 1008)(361, 1009)(362, 1010)(363, 1011)(364, 1012)(365, 1013)(366, 1014)(367, 1015)(368, 1016)(369, 1017)(370, 1018)(371, 1019)(372, 1020)(373, 1021)(374, 1022)(375, 1023)(376, 1024)(377, 1025)(378, 1026)(379, 1027)(380, 1028)(381, 1029)(382, 1030)(383, 1031)(384, 1032)(385, 1033)(386, 1034)(387, 1035)(388, 1036)(389, 1037)(390, 1038)(391, 1039)(392, 1040)(393, 1041)(394, 1042)(395, 1043)(396, 1044)(397, 1045)(398, 1046)(399, 1047)(400, 1048)(401, 1049)(402, 1050)(403, 1051)(404, 1052)(405, 1053)(406, 1054)(407, 1055)(408, 1056)(409, 1057)(410, 1058)(411, 1059)(412, 1060)(413, 1061)(414, 1062)(415, 1063)(416, 1064)(417, 1065)(418, 1066)(419, 1067)(420, 1068)(421, 1069)(422, 1070)(423, 1071)(424, 1072)(425, 1073)(426, 1074)(427, 1075)(428, 1076)(429, 1077)(430, 1078)(431, 1079)(432, 1080)(433, 1081)(434, 1082)(435, 1083)(436, 1084)(437, 1085)(438, 1086)(439, 1087)(440, 1088)(441, 1089)(442, 1090)(443, 1091)(444, 1092)(445, 1093)(446, 1094)(447, 1095)(448, 1096)(449, 1097)(450, 1098)(451, 1099)(452, 1100)(453, 1101)(454, 1102)(455, 1103)(456, 1104)(457, 1105)(458, 1106)(459, 1107)(460, 1108)(461, 1109)(462, 1110)(463, 1111)(464, 1112)(465, 1113)(466, 1114)(467, 1115)(468, 1116)(469, 1117)(470, 1118)(471, 1119)(472, 1120)(473, 1121)(474, 1122)(475, 1123)(476, 1124)(477, 1125)(478, 1126)(479, 1127)(480, 1128)(481, 1129)(482, 1130)(483, 1131)(484, 1132)(485, 1133)(486, 1134)(487, 1135)(488, 1136)(489, 1137)(490, 1138)(491, 1139)(492, 1140)(493, 1141)(494, 1142)(495, 1143)(496, 1144)(497, 1145)(498, 1146)(499, 1147)(500, 1148)(501, 1149)(502, 1150)(503, 1151)(504, 1152)(505, 1153)(506, 1154)(507, 1155)(508, 1156)(509, 1157)(510, 1158)(511, 1159)(512, 1160)(513, 1161)(514, 1162)(515, 1163)(516, 1164)(517, 1165)(518, 1166)(519, 1167)(520, 1168)(521, 1169)(522, 1170)(523, 1171)(524, 1172)(525, 1173)(526, 1174)(527, 1175)(528, 1176)(529, 1177)(530, 1178)(531, 1179)(532, 1180)(533, 1181)(534, 1182)(535, 1183)(536, 1184)(537, 1185)(538, 1186)(539, 1187)(540, 1188)(541, 1189)(542, 1190)(543, 1191)(544, 1192)(545, 1193)(546, 1194)(547, 1195)(548, 1196)(549, 1197)(550, 1198)(551, 1199)(552, 1200)(553, 1201)(554, 1202)(555, 1203)(556, 1204)(557, 1205)(558, 1206)(559, 1207)(560, 1208)(561, 1209)(562, 1210)(563, 1211)(564, 1212)(565, 1213)(566, 1214)(567, 1215)(568, 1216)(569, 1217)(570, 1218)(571, 1219)(572, 1220)(573, 1221)(574, 1222)(575, 1223)(576, 1224)(577, 1225)(578, 1226)(579, 1227)(580, 1228)(581, 1229)(582, 1230)(583, 1231)(584, 1232)(585, 1233)(586, 1234)(587, 1235)(588, 1236)(589, 1237)(590, 1238)(591, 1239)(592, 1240)(593, 1241)(594, 1242)(595, 1243)(596, 1244)(597, 1245)(598, 1246)(599, 1247)(600, 1248)(601, 1249)(602, 1250)(603, 1251)(604, 1252)(605, 1253)(606, 1254)(607, 1255)(608, 1256)(609, 1257)(610, 1258)(611, 1259)(612, 1260)(613, 1261)(614, 1262)(615, 1263)(616, 1264)(617, 1265)(618, 1266)(619, 1267)(620, 1268)(621, 1269)(622, 1270)(623, 1271)(624, 1272)(625, 1273)(626, 1274)(627, 1275)(628, 1276)(629, 1277)(630, 1278)(631, 1279)(632, 1280)(633, 1281)(634, 1282)(635, 1283)(636, 1284)(637, 1285)(638, 1286)(639, 1287)(640, 1288)(641, 1289)(642, 1290)(643, 1291)(644, 1292)(645, 1293)(646, 1294)(647, 1295)(648, 1296)
	local type(s) :: { ( 12, 12 ), ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E28.3234
Graph:: simple bipartite
	v = 486 e = 648 f = 108
	degree seq :: [ 2^324, 4^162 ]

E28.3236 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = C2 x (((C9 x C3) : C3) : C2) (small group id <324, 73>)
Aut   = $<648, 301>$ (small group id <648, 301>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y3^2 * Y1^-1 * Y3^-2 * Y1, Y1^6, (R * Y2 * Y3^-1)^2, (Y1^-2 * Y3^-1 * Y1^-1 * Y3)^2, (Y1^-1 * Y3^-1 * Y1^-1 * Y3)^3, (Y3^-1 * Y1^-1)^6, Y3 * Y1 * Y3 * Y1^-2 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-2 * Y3^-1 * Y1, Y1 * Y3 * Y1^-2 * Y3 * Y1^2 * Y3 * Y1^-2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1, Y3 * Y1^3 * Y3 * Y1^-3 * Y3 * Y1^2 * Y3^-1 * Y1^-3 * Y3^-1 * Y1^-3 * Y3^-1 * Y1^-2 ]
Map:: polytopal
	R = (1, 325, 2, 326, 5, 329, 11, 335, 10, 334, 4, 328)(3, 327, 7, 331, 15, 339, 29, 353, 18, 342, 8, 332)(6, 330, 13, 337, 25, 349, 48, 372, 28, 352, 14, 338)(9, 333, 19, 343, 36, 360, 66, 390, 39, 363, 20, 344)(12, 336, 23, 347, 44, 368, 78, 402, 47, 371, 24, 348)(16, 340, 31, 355, 58, 382, 98, 422, 61, 385, 32, 356)(17, 341, 33, 357, 62, 386, 80, 404, 45, 369, 34, 358)(21, 345, 40, 364, 71, 395, 112, 436, 73, 397, 41, 365)(22, 346, 42, 366, 74, 398, 115, 439, 77, 401, 43, 367)(26, 350, 50, 374, 38, 362, 70, 394, 88, 412, 51, 375)(27, 351, 52, 376, 89, 413, 117, 441, 75, 399, 53, 377)(30, 354, 56, 380, 95, 419, 140, 464, 97, 421, 57, 381)(35, 359, 65, 389, 105, 429, 130, 454, 85, 409, 49, 373)(37, 361, 68, 392, 76, 400, 118, 442, 111, 435, 69, 393)(46, 370, 81, 405, 123, 447, 114, 438, 72, 396, 82, 406)(54, 378, 92, 416, 135, 459, 167, 491, 121, 445, 79, 403)(55, 379, 93, 417, 137, 461, 181, 505, 139, 463, 94, 418)(59, 383, 86, 410, 64, 388, 91, 415, 125, 449, 99, 423)(60, 384, 100, 424, 145, 469, 183, 507, 138, 462, 101, 425)(63, 387, 87, 411, 131, 455, 177, 501, 148, 472, 104, 428)(67, 391, 108, 432, 152, 476, 198, 522, 153, 477, 109, 433)(83, 407, 126, 450, 171, 495, 210, 534, 160, 484, 116, 440)(84, 408, 127, 451, 173, 497, 223, 547, 174, 498, 128, 452)(90, 414, 122, 446, 168, 492, 219, 543, 178, 502, 134, 458)(96, 420, 142, 466, 187, 511, 150, 474, 106, 430, 132, 456)(102, 426, 147, 471, 193, 517, 240, 564, 186, 510, 141, 465)(103, 427, 129, 453, 175, 499, 226, 550, 180, 504, 136, 460)(107, 431, 151, 475, 197, 521, 245, 569, 192, 516, 146, 470)(110, 434, 154, 478, 201, 525, 244, 568, 190, 514, 144, 468)(113, 437, 119, 443, 163, 487, 213, 537, 205, 529, 157, 481)(120, 444, 164, 488, 215, 539, 266, 590, 216, 540, 165, 489)(124, 448, 161, 485, 211, 535, 262, 586, 220, 544, 170, 494)(133, 457, 166, 490, 217, 541, 269, 593, 222, 546, 172, 496)(143, 467, 189, 513, 221, 545, 268, 592, 234, 558, 182, 506)(149, 473, 184, 508, 236, 560, 287, 611, 248, 572, 195, 519)(155, 479, 203, 527, 255, 579, 298, 622, 252, 576, 199, 523)(156, 480, 204, 528, 256, 580, 299, 623, 254, 578, 202, 526)(158, 482, 206, 530, 257, 581, 263, 587, 212, 536, 162, 486)(159, 483, 207, 531, 258, 582, 300, 624, 259, 583, 208, 532)(169, 493, 209, 533, 260, 584, 303, 627, 265, 589, 214, 538)(176, 500, 228, 552, 264, 588, 302, 626, 276, 600, 224, 548)(179, 503, 225, 549, 277, 601, 250, 574, 200, 524, 231, 555)(185, 509, 237, 561, 289, 613, 301, 625, 261, 585, 238, 562)(188, 512, 235, 559, 286, 610, 305, 629, 274, 598, 242, 566)(191, 515, 239, 563, 290, 614, 304, 628, 273, 597, 243, 567)(194, 518, 247, 571, 294, 618, 307, 631, 279, 603, 227, 551)(196, 520, 249, 573, 295, 619, 306, 630, 280, 604, 229, 553)(218, 542, 271, 595, 251, 575, 296, 620, 309, 633, 267, 591)(230, 554, 281, 605, 253, 577, 297, 621, 311, 635, 270, 594)(232, 556, 282, 606, 246, 570, 292, 616, 312, 636, 272, 596)(233, 557, 283, 607, 308, 632, 323, 647, 317, 641, 284, 608)(241, 565, 285, 609, 310, 634, 324, 648, 318, 642, 288, 612)(275, 599, 313, 637, 321, 645, 320, 644, 293, 617, 314, 638)(278, 602, 315, 639, 322, 646, 319, 643, 291, 615, 316, 640)(649, 973)(650, 974)(651, 975)(652, 976)(653, 977)(654, 978)(655, 979)(656, 980)(657, 981)(658, 982)(659, 983)(660, 984)(661, 985)(662, 986)(663, 987)(664, 988)(665, 989)(666, 990)(667, 991)(668, 992)(669, 993)(670, 994)(671, 995)(672, 996)(673, 997)(674, 998)(675, 999)(676, 1000)(677, 1001)(678, 1002)(679, 1003)(680, 1004)(681, 1005)(682, 1006)(683, 1007)(684, 1008)(685, 1009)(686, 1010)(687, 1011)(688, 1012)(689, 1013)(690, 1014)(691, 1015)(692, 1016)(693, 1017)(694, 1018)(695, 1019)(696, 1020)(697, 1021)(698, 1022)(699, 1023)(700, 1024)(701, 1025)(702, 1026)(703, 1027)(704, 1028)(705, 1029)(706, 1030)(707, 1031)(708, 1032)(709, 1033)(710, 1034)(711, 1035)(712, 1036)(713, 1037)(714, 1038)(715, 1039)(716, 1040)(717, 1041)(718, 1042)(719, 1043)(720, 1044)(721, 1045)(722, 1046)(723, 1047)(724, 1048)(725, 1049)(726, 1050)(727, 1051)(728, 1052)(729, 1053)(730, 1054)(731, 1055)(732, 1056)(733, 1057)(734, 1058)(735, 1059)(736, 1060)(737, 1061)(738, 1062)(739, 1063)(740, 1064)(741, 1065)(742, 1066)(743, 1067)(744, 1068)(745, 1069)(746, 1070)(747, 1071)(748, 1072)(749, 1073)(750, 1074)(751, 1075)(752, 1076)(753, 1077)(754, 1078)(755, 1079)(756, 1080)(757, 1081)(758, 1082)(759, 1083)(760, 1084)(761, 1085)(762, 1086)(763, 1087)(764, 1088)(765, 1089)(766, 1090)(767, 1091)(768, 1092)(769, 1093)(770, 1094)(771, 1095)(772, 1096)(773, 1097)(774, 1098)(775, 1099)(776, 1100)(777, 1101)(778, 1102)(779, 1103)(780, 1104)(781, 1105)(782, 1106)(783, 1107)(784, 1108)(785, 1109)(786, 1110)(787, 1111)(788, 1112)(789, 1113)(790, 1114)(791, 1115)(792, 1116)(793, 1117)(794, 1118)(795, 1119)(796, 1120)(797, 1121)(798, 1122)(799, 1123)(800, 1124)(801, 1125)(802, 1126)(803, 1127)(804, 1128)(805, 1129)(806, 1130)(807, 1131)(808, 1132)(809, 1133)(810, 1134)(811, 1135)(812, 1136)(813, 1137)(814, 1138)(815, 1139)(816, 1140)(817, 1141)(818, 1142)(819, 1143)(820, 1144)(821, 1145)(822, 1146)(823, 1147)(824, 1148)(825, 1149)(826, 1150)(827, 1151)(828, 1152)(829, 1153)(830, 1154)(831, 1155)(832, 1156)(833, 1157)(834, 1158)(835, 1159)(836, 1160)(837, 1161)(838, 1162)(839, 1163)(840, 1164)(841, 1165)(842, 1166)(843, 1167)(844, 1168)(845, 1169)(846, 1170)(847, 1171)(848, 1172)(849, 1173)(850, 1174)(851, 1175)(852, 1176)(853, 1177)(854, 1178)(855, 1179)(856, 1180)(857, 1181)(858, 1182)(859, 1183)(860, 1184)(861, 1185)(862, 1186)(863, 1187)(864, 1188)(865, 1189)(866, 1190)(867, 1191)(868, 1192)(869, 1193)(870, 1194)(871, 1195)(872, 1196)(873, 1197)(874, 1198)(875, 1199)(876, 1200)(877, 1201)(878, 1202)(879, 1203)(880, 1204)(881, 1205)(882, 1206)(883, 1207)(884, 1208)(885, 1209)(886, 1210)(887, 1211)(888, 1212)(889, 1213)(890, 1214)(891, 1215)(892, 1216)(893, 1217)(894, 1218)(895, 1219)(896, 1220)(897, 1221)(898, 1222)(899, 1223)(900, 1224)(901, 1225)(902, 1226)(903, 1227)(904, 1228)(905, 1229)(906, 1230)(907, 1231)(908, 1232)(909, 1233)(910, 1234)(911, 1235)(912, 1236)(913, 1237)(914, 1238)(915, 1239)(916, 1240)(917, 1241)(918, 1242)(919, 1243)(920, 1244)(921, 1245)(922, 1246)(923, 1247)(924, 1248)(925, 1249)(926, 1250)(927, 1251)(928, 1252)(929, 1253)(930, 1254)(931, 1255)(932, 1256)(933, 1257)(934, 1258)(935, 1259)(936, 1260)(937, 1261)(938, 1262)(939, 1263)(940, 1264)(941, 1265)(942, 1266)(943, 1267)(944, 1268)(945, 1269)(946, 1270)(947, 1271)(948, 1272)(949, 1273)(950, 1274)(951, 1275)(952, 1276)(953, 1277)(954, 1278)(955, 1279)(956, 1280)(957, 1281)(958, 1282)(959, 1283)(960, 1284)(961, 1285)(962, 1286)(963, 1287)(964, 1288)(965, 1289)(966, 1290)(967, 1291)(968, 1292)(969, 1293)(970, 1294)(971, 1295)(972, 1296)
	L = (1, 651)(2, 654)(3, 649)(4, 657)(5, 660)(6, 650)(7, 664)(8, 665)(9, 652)(10, 669)(11, 670)(12, 653)(13, 674)(14, 675)(15, 678)(16, 655)(17, 656)(18, 683)(19, 685)(20, 686)(21, 658)(22, 659)(23, 693)(24, 694)(25, 697)(26, 661)(27, 662)(28, 702)(29, 703)(30, 663)(31, 707)(32, 708)(33, 711)(34, 712)(35, 666)(36, 715)(37, 667)(38, 668)(39, 704)(40, 720)(41, 706)(42, 723)(43, 724)(44, 727)(45, 671)(46, 672)(47, 731)(48, 732)(49, 673)(50, 734)(51, 735)(52, 738)(53, 739)(54, 676)(55, 677)(56, 687)(57, 744)(58, 689)(59, 679)(60, 680)(61, 750)(62, 751)(63, 681)(64, 682)(65, 754)(66, 755)(67, 684)(68, 747)(69, 758)(70, 749)(71, 761)(72, 688)(73, 756)(74, 764)(75, 690)(76, 691)(77, 767)(78, 768)(79, 692)(80, 770)(81, 772)(82, 773)(83, 695)(84, 696)(85, 777)(86, 698)(87, 699)(88, 780)(89, 781)(90, 700)(91, 701)(92, 784)(93, 786)(94, 779)(95, 789)(96, 705)(97, 791)(98, 792)(99, 716)(100, 794)(101, 718)(102, 709)(103, 710)(104, 775)(105, 797)(106, 713)(107, 714)(108, 721)(109, 795)(110, 717)(111, 803)(112, 804)(113, 719)(114, 806)(115, 807)(116, 722)(117, 809)(118, 810)(119, 725)(120, 726)(121, 814)(122, 728)(123, 817)(124, 729)(125, 730)(126, 820)(127, 752)(128, 816)(129, 733)(130, 824)(131, 742)(132, 736)(133, 737)(134, 812)(135, 827)(136, 740)(137, 830)(138, 741)(139, 832)(140, 833)(141, 743)(142, 836)(143, 745)(144, 746)(145, 839)(146, 748)(147, 757)(148, 842)(149, 753)(150, 844)(151, 838)(152, 847)(153, 848)(154, 850)(155, 759)(156, 760)(157, 851)(158, 762)(159, 763)(160, 857)(161, 765)(162, 766)(163, 862)(164, 782)(165, 859)(166, 769)(167, 866)(168, 776)(169, 771)(170, 855)(171, 869)(172, 774)(173, 872)(174, 873)(175, 875)(176, 778)(177, 877)(178, 878)(179, 783)(180, 880)(181, 881)(182, 785)(183, 883)(184, 787)(185, 788)(186, 887)(187, 889)(188, 790)(189, 891)(190, 799)(191, 793)(192, 885)(193, 894)(194, 796)(195, 895)(196, 798)(197, 898)(198, 899)(199, 800)(200, 801)(201, 901)(202, 802)(203, 805)(204, 860)(205, 896)(206, 856)(207, 818)(208, 854)(209, 808)(210, 909)(211, 813)(212, 852)(213, 912)(214, 811)(215, 915)(216, 916)(217, 918)(218, 815)(219, 920)(220, 921)(221, 819)(222, 922)(223, 923)(224, 821)(225, 822)(226, 926)(227, 823)(228, 928)(229, 825)(230, 826)(231, 929)(232, 828)(233, 829)(234, 933)(235, 831)(236, 936)(237, 840)(238, 934)(239, 834)(240, 939)(241, 835)(242, 931)(243, 837)(244, 940)(245, 941)(246, 841)(247, 843)(248, 853)(249, 932)(250, 845)(251, 846)(252, 945)(253, 849)(254, 944)(255, 943)(256, 935)(257, 942)(258, 949)(259, 950)(260, 952)(261, 858)(262, 953)(263, 954)(264, 861)(265, 955)(266, 956)(267, 863)(268, 864)(269, 958)(270, 865)(271, 960)(272, 867)(273, 868)(274, 870)(275, 871)(276, 963)(277, 964)(278, 874)(279, 961)(280, 876)(281, 879)(282, 962)(283, 890)(284, 897)(285, 882)(286, 886)(287, 904)(288, 884)(289, 967)(290, 968)(291, 888)(292, 892)(293, 893)(294, 905)(295, 903)(296, 902)(297, 900)(298, 966)(299, 965)(300, 969)(301, 906)(302, 907)(303, 970)(304, 908)(305, 910)(306, 911)(307, 913)(308, 914)(309, 972)(310, 917)(311, 971)(312, 919)(313, 927)(314, 930)(315, 924)(316, 925)(317, 947)(318, 946)(319, 937)(320, 938)(321, 948)(322, 951)(323, 959)(324, 957)(325, 973)(326, 974)(327, 975)(328, 976)(329, 977)(330, 978)(331, 979)(332, 980)(333, 981)(334, 982)(335, 983)(336, 984)(337, 985)(338, 986)(339, 987)(340, 988)(341, 989)(342, 990)(343, 991)(344, 992)(345, 993)(346, 994)(347, 995)(348, 996)(349, 997)(350, 998)(351, 999)(352, 1000)(353, 1001)(354, 1002)(355, 1003)(356, 1004)(357, 1005)(358, 1006)(359, 1007)(360, 1008)(361, 1009)(362, 1010)(363, 1011)(364, 1012)(365, 1013)(366, 1014)(367, 1015)(368, 1016)(369, 1017)(370, 1018)(371, 1019)(372, 1020)(373, 1021)(374, 1022)(375, 1023)(376, 1024)(377, 1025)(378, 1026)(379, 1027)(380, 1028)(381, 1029)(382, 1030)(383, 1031)(384, 1032)(385, 1033)(386, 1034)(387, 1035)(388, 1036)(389, 1037)(390, 1038)(391, 1039)(392, 1040)(393, 1041)(394, 1042)(395, 1043)(396, 1044)(397, 1045)(398, 1046)(399, 1047)(400, 1048)(401, 1049)(402, 1050)(403, 1051)(404, 1052)(405, 1053)(406, 1054)(407, 1055)(408, 1056)(409, 1057)(410, 1058)(411, 1059)(412, 1060)(413, 1061)(414, 1062)(415, 1063)(416, 1064)(417, 1065)(418, 1066)(419, 1067)(420, 1068)(421, 1069)(422, 1070)(423, 1071)(424, 1072)(425, 1073)(426, 1074)(427, 1075)(428, 1076)(429, 1077)(430, 1078)(431, 1079)(432, 1080)(433, 1081)(434, 1082)(435, 1083)(436, 1084)(437, 1085)(438, 1086)(439, 1087)(440, 1088)(441, 1089)(442, 1090)(443, 1091)(444, 1092)(445, 1093)(446, 1094)(447, 1095)(448, 1096)(449, 1097)(450, 1098)(451, 1099)(452, 1100)(453, 1101)(454, 1102)(455, 1103)(456, 1104)(457, 1105)(458, 1106)(459, 1107)(460, 1108)(461, 1109)(462, 1110)(463, 1111)(464, 1112)(465, 1113)(466, 1114)(467, 1115)(468, 1116)(469, 1117)(470, 1118)(471, 1119)(472, 1120)(473, 1121)(474, 1122)(475, 1123)(476, 1124)(477, 1125)(478, 1126)(479, 1127)(480, 1128)(481, 1129)(482, 1130)(483, 1131)(484, 1132)(485, 1133)(486, 1134)(487, 1135)(488, 1136)(489, 1137)(490, 1138)(491, 1139)(492, 1140)(493, 1141)(494, 1142)(495, 1143)(496, 1144)(497, 1145)(498, 1146)(499, 1147)(500, 1148)(501, 1149)(502, 1150)(503, 1151)(504, 1152)(505, 1153)(506, 1154)(507, 1155)(508, 1156)(509, 1157)(510, 1158)(511, 1159)(512, 1160)(513, 1161)(514, 1162)(515, 1163)(516, 1164)(517, 1165)(518, 1166)(519, 1167)(520, 1168)(521, 1169)(522, 1170)(523, 1171)(524, 1172)(525, 1173)(526, 1174)(527, 1175)(528, 1176)(529, 1177)(530, 1178)(531, 1179)(532, 1180)(533, 1181)(534, 1182)(535, 1183)(536, 1184)(537, 1185)(538, 1186)(539, 1187)(540, 1188)(541, 1189)(542, 1190)(543, 1191)(544, 1192)(545, 1193)(546, 1194)(547, 1195)(548, 1196)(549, 1197)(550, 1198)(551, 1199)(552, 1200)(553, 1201)(554, 1202)(555, 1203)(556, 1204)(557, 1205)(558, 1206)(559, 1207)(560, 1208)(561, 1209)(562, 1210)(563, 1211)(564, 1212)(565, 1213)(566, 1214)(567, 1215)(568, 1216)(569, 1217)(570, 1218)(571, 1219)(572, 1220)(573, 1221)(574, 1222)(575, 1223)(576, 1224)(577, 1225)(578, 1226)(579, 1227)(580, 1228)(581, 1229)(582, 1230)(583, 1231)(584, 1232)(585, 1233)(586, 1234)(587, 1235)(588, 1236)(589, 1237)(590, 1238)(591, 1239)(592, 1240)(593, 1241)(594, 1242)(595, 1243)(596, 1244)(597, 1245)(598, 1246)(599, 1247)(600, 1248)(601, 1249)(602, 1250)(603, 1251)(604, 1252)(605, 1253)(606, 1254)(607, 1255)(608, 1256)(609, 1257)(610, 1258)(611, 1259)(612, 1260)(613, 1261)(614, 1262)(615, 1263)(616, 1264)(617, 1265)(618, 1266)(619, 1267)(620, 1268)(621, 1269)(622, 1270)(623, 1271)(624, 1272)(625, 1273)(626, 1274)(627, 1275)(628, 1276)(629, 1277)(630, 1278)(631, 1279)(632, 1280)(633, 1281)(634, 1282)(635, 1283)(636, 1284)(637, 1285)(638, 1286)(639, 1287)(640, 1288)(641, 1289)(642, 1290)(643, 1291)(644, 1292)(645, 1293)(646, 1294)(647, 1295)(648, 1296)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3232
Graph:: simple bipartite
	v = 378 e = 648 f = 216
	degree seq :: [ 2^324, 12^54 ]

E28.3237 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = C2 x (((C9 x C3) : C3) : C2) (small group id <324, 73>)
Aut   = $<648, 301>$ (small group id <648, 301>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y1^6, Y1^-2 * Y3 * Y1^-3 * Y3^-1 * Y1^-1, (Y3^-1 * Y1^-1)^6, Y1^-2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: polytopal
	R = (1, 325, 2, 326, 5, 329, 11, 335, 10, 334, 4, 328)(3, 327, 7, 331, 15, 339, 22, 346, 18, 342, 8, 332)(6, 330, 13, 337, 25, 349, 21, 345, 28, 352, 14, 338)(9, 333, 19, 343, 24, 348, 12, 336, 23, 347, 20, 344)(16, 340, 30, 354, 47, 371, 34, 358, 50, 374, 31, 355)(17, 341, 32, 356, 46, 370, 29, 353, 45, 369, 33, 357)(26, 350, 40, 364, 63, 387, 44, 368, 66, 390, 41, 365)(27, 351, 42, 366, 62, 386, 39, 363, 61, 385, 43, 367)(35, 359, 53, 377, 58, 382, 37, 361, 57, 381, 54, 378)(36, 360, 55, 379, 60, 384, 38, 362, 59, 383, 56, 380)(48, 372, 72, 396, 101, 425, 76, 400, 86, 410, 73, 397)(49, 373, 74, 398, 100, 424, 71, 395, 99, 423, 75, 399)(51, 375, 77, 401, 98, 422, 69, 393, 97, 421, 78, 402)(52, 376, 79, 403, 93, 417, 70, 394, 90, 414, 64, 388)(65, 389, 91, 415, 120, 444, 89, 413, 119, 443, 92, 416)(67, 391, 94, 418, 118, 442, 87, 411, 117, 441, 95, 419)(68, 392, 96, 420, 80, 404, 88, 412, 112, 436, 83, 407)(81, 405, 108, 432, 114, 438, 84, 408, 113, 437, 109, 433)(82, 406, 110, 434, 116, 440, 85, 409, 115, 439, 111, 435)(102, 426, 132, 456, 169, 493, 131, 455, 168, 492, 133, 457)(103, 427, 134, 458, 167, 491, 129, 453, 166, 490, 135, 459)(104, 428, 136, 460, 105, 429, 130, 454, 163, 487, 127, 451)(106, 430, 137, 461, 165, 489, 128, 452, 164, 488, 138, 462)(107, 431, 139, 463, 155, 479, 121, 445, 154, 478, 140, 464)(122, 446, 156, 480, 195, 519, 152, 476, 194, 518, 157, 481)(123, 447, 158, 482, 124, 448, 153, 477, 191, 515, 150, 474)(125, 449, 159, 483, 193, 517, 151, 475, 192, 516, 160, 484)(126, 450, 161, 485, 185, 509, 145, 469, 184, 508, 162, 486)(141, 465, 179, 503, 187, 511, 146, 470, 186, 510, 180, 504)(142, 466, 181, 505, 143, 467, 147, 471, 188, 512, 148, 472)(144, 468, 182, 506, 190, 514, 149, 473, 189, 513, 183, 507)(170, 494, 212, 536, 256, 580, 210, 534, 233, 557, 213, 537)(171, 495, 214, 538, 172, 496, 211, 535, 253, 577, 208, 532)(173, 497, 215, 539, 255, 579, 209, 533, 254, 578, 216, 540)(174, 498, 217, 541, 250, 574, 205, 529, 249, 573, 218, 542)(175, 499, 219, 543, 252, 576, 206, 530, 251, 575, 220, 544)(176, 500, 221, 545, 177, 501, 207, 531, 239, 563, 196, 520)(178, 502, 222, 546, 237, 561, 197, 521, 240, 564, 198, 522)(199, 523, 241, 565, 286, 610, 238, 562, 285, 609, 242, 566)(200, 524, 243, 567, 282, 606, 234, 558, 281, 605, 244, 568)(201, 525, 245, 569, 284, 608, 235, 559, 283, 607, 246, 570)(202, 526, 247, 571, 203, 527, 236, 560, 273, 597, 227, 551)(204, 528, 248, 572, 223, 547, 228, 552, 274, 598, 229, 553)(224, 548, 267, 591, 276, 600, 230, 554, 275, 599, 268, 592)(225, 549, 269, 593, 278, 602, 231, 555, 277, 601, 270, 594)(226, 550, 271, 595, 280, 604, 232, 556, 279, 603, 272, 596)(257, 581, 293, 617, 320, 644, 304, 628, 321, 645, 292, 616)(258, 582, 291, 615, 324, 648, 301, 625, 319, 643, 290, 614)(259, 583, 289, 613, 313, 637, 302, 626, 323, 647, 305, 629)(260, 584, 296, 620, 261, 585, 303, 627, 312, 636, 297, 621)(262, 586, 295, 619, 263, 587, 298, 622, 311, 635, 299, 623)(264, 588, 294, 618, 318, 642, 300, 624, 322, 646, 306, 630)(265, 589, 307, 631, 316, 640, 287, 611, 317, 641, 308, 632)(266, 590, 309, 633, 314, 638, 288, 612, 315, 639, 310, 634)(649, 973)(650, 974)(651, 975)(652, 976)(653, 977)(654, 978)(655, 979)(656, 980)(657, 981)(658, 982)(659, 983)(660, 984)(661, 985)(662, 986)(663, 987)(664, 988)(665, 989)(666, 990)(667, 991)(668, 992)(669, 993)(670, 994)(671, 995)(672, 996)(673, 997)(674, 998)(675, 999)(676, 1000)(677, 1001)(678, 1002)(679, 1003)(680, 1004)(681, 1005)(682, 1006)(683, 1007)(684, 1008)(685, 1009)(686, 1010)(687, 1011)(688, 1012)(689, 1013)(690, 1014)(691, 1015)(692, 1016)(693, 1017)(694, 1018)(695, 1019)(696, 1020)(697, 1021)(698, 1022)(699, 1023)(700, 1024)(701, 1025)(702, 1026)(703, 1027)(704, 1028)(705, 1029)(706, 1030)(707, 1031)(708, 1032)(709, 1033)(710, 1034)(711, 1035)(712, 1036)(713, 1037)(714, 1038)(715, 1039)(716, 1040)(717, 1041)(718, 1042)(719, 1043)(720, 1044)(721, 1045)(722, 1046)(723, 1047)(724, 1048)(725, 1049)(726, 1050)(727, 1051)(728, 1052)(729, 1053)(730, 1054)(731, 1055)(732, 1056)(733, 1057)(734, 1058)(735, 1059)(736, 1060)(737, 1061)(738, 1062)(739, 1063)(740, 1064)(741, 1065)(742, 1066)(743, 1067)(744, 1068)(745, 1069)(746, 1070)(747, 1071)(748, 1072)(749, 1073)(750, 1074)(751, 1075)(752, 1076)(753, 1077)(754, 1078)(755, 1079)(756, 1080)(757, 1081)(758, 1082)(759, 1083)(760, 1084)(761, 1085)(762, 1086)(763, 1087)(764, 1088)(765, 1089)(766, 1090)(767, 1091)(768, 1092)(769, 1093)(770, 1094)(771, 1095)(772, 1096)(773, 1097)(774, 1098)(775, 1099)(776, 1100)(777, 1101)(778, 1102)(779, 1103)(780, 1104)(781, 1105)(782, 1106)(783, 1107)(784, 1108)(785, 1109)(786, 1110)(787, 1111)(788, 1112)(789, 1113)(790, 1114)(791, 1115)(792, 1116)(793, 1117)(794, 1118)(795, 1119)(796, 1120)(797, 1121)(798, 1122)(799, 1123)(800, 1124)(801, 1125)(802, 1126)(803, 1127)(804, 1128)(805, 1129)(806, 1130)(807, 1131)(808, 1132)(809, 1133)(810, 1134)(811, 1135)(812, 1136)(813, 1137)(814, 1138)(815, 1139)(816, 1140)(817, 1141)(818, 1142)(819, 1143)(820, 1144)(821, 1145)(822, 1146)(823, 1147)(824, 1148)(825, 1149)(826, 1150)(827, 1151)(828, 1152)(829, 1153)(830, 1154)(831, 1155)(832, 1156)(833, 1157)(834, 1158)(835, 1159)(836, 1160)(837, 1161)(838, 1162)(839, 1163)(840, 1164)(841, 1165)(842, 1166)(843, 1167)(844, 1168)(845, 1169)(846, 1170)(847, 1171)(848, 1172)(849, 1173)(850, 1174)(851, 1175)(852, 1176)(853, 1177)(854, 1178)(855, 1179)(856, 1180)(857, 1181)(858, 1182)(859, 1183)(860, 1184)(861, 1185)(862, 1186)(863, 1187)(864, 1188)(865, 1189)(866, 1190)(867, 1191)(868, 1192)(869, 1193)(870, 1194)(871, 1195)(872, 1196)(873, 1197)(874, 1198)(875, 1199)(876, 1200)(877, 1201)(878, 1202)(879, 1203)(880, 1204)(881, 1205)(882, 1206)(883, 1207)(884, 1208)(885, 1209)(886, 1210)(887, 1211)(888, 1212)(889, 1213)(890, 1214)(891, 1215)(892, 1216)(893, 1217)(894, 1218)(895, 1219)(896, 1220)(897, 1221)(898, 1222)(899, 1223)(900, 1224)(901, 1225)(902, 1226)(903, 1227)(904, 1228)(905, 1229)(906, 1230)(907, 1231)(908, 1232)(909, 1233)(910, 1234)(911, 1235)(912, 1236)(913, 1237)(914, 1238)(915, 1239)(916, 1240)(917, 1241)(918, 1242)(919, 1243)(920, 1244)(921, 1245)(922, 1246)(923, 1247)(924, 1248)(925, 1249)(926, 1250)(927, 1251)(928, 1252)(929, 1253)(930, 1254)(931, 1255)(932, 1256)(933, 1257)(934, 1258)(935, 1259)(936, 1260)(937, 1261)(938, 1262)(939, 1263)(940, 1264)(941, 1265)(942, 1266)(943, 1267)(944, 1268)(945, 1269)(946, 1270)(947, 1271)(948, 1272)(949, 1273)(950, 1274)(951, 1275)(952, 1276)(953, 1277)(954, 1278)(955, 1279)(956, 1280)(957, 1281)(958, 1282)(959, 1283)(960, 1284)(961, 1285)(962, 1286)(963, 1287)(964, 1288)(965, 1289)(966, 1290)(967, 1291)(968, 1292)(969, 1293)(970, 1294)(971, 1295)(972, 1296)
	L = (1, 651)(2, 654)(3, 649)(4, 657)(5, 660)(6, 650)(7, 664)(8, 665)(9, 652)(10, 669)(11, 670)(12, 653)(13, 674)(14, 675)(15, 677)(16, 655)(17, 656)(18, 682)(19, 683)(20, 684)(21, 658)(22, 659)(23, 685)(24, 686)(25, 687)(26, 661)(27, 662)(28, 692)(29, 663)(30, 696)(31, 697)(32, 699)(33, 700)(34, 666)(35, 667)(36, 668)(37, 671)(38, 672)(39, 673)(40, 712)(41, 713)(42, 715)(43, 716)(44, 676)(45, 717)(46, 718)(47, 719)(48, 678)(49, 679)(50, 724)(51, 680)(52, 681)(53, 728)(54, 729)(55, 730)(56, 720)(57, 731)(58, 732)(59, 733)(60, 734)(61, 735)(62, 736)(63, 737)(64, 688)(65, 689)(66, 741)(67, 690)(68, 691)(69, 693)(70, 694)(71, 695)(72, 704)(73, 750)(74, 751)(75, 752)(76, 698)(77, 753)(78, 754)(79, 755)(80, 701)(81, 702)(82, 703)(83, 705)(84, 706)(85, 707)(86, 708)(87, 709)(88, 710)(89, 711)(90, 769)(91, 770)(92, 771)(93, 714)(94, 772)(95, 773)(96, 774)(97, 775)(98, 776)(99, 777)(100, 778)(101, 779)(102, 721)(103, 722)(104, 723)(105, 725)(106, 726)(107, 727)(108, 789)(109, 790)(110, 791)(111, 792)(112, 793)(113, 794)(114, 795)(115, 796)(116, 797)(117, 798)(118, 799)(119, 800)(120, 801)(121, 738)(122, 739)(123, 740)(124, 742)(125, 743)(126, 744)(127, 745)(128, 746)(129, 747)(130, 748)(131, 749)(132, 818)(133, 819)(134, 820)(135, 821)(136, 822)(137, 823)(138, 824)(139, 825)(140, 826)(141, 756)(142, 757)(143, 758)(144, 759)(145, 760)(146, 761)(147, 762)(148, 763)(149, 764)(150, 765)(151, 766)(152, 767)(153, 768)(154, 844)(155, 845)(156, 846)(157, 847)(158, 848)(159, 849)(160, 850)(161, 851)(162, 852)(163, 853)(164, 854)(165, 855)(166, 856)(167, 857)(168, 858)(169, 859)(170, 780)(171, 781)(172, 782)(173, 783)(174, 784)(175, 785)(176, 786)(177, 787)(178, 788)(179, 871)(180, 872)(181, 873)(182, 874)(183, 860)(184, 875)(185, 876)(186, 877)(187, 878)(188, 879)(189, 880)(190, 881)(191, 882)(192, 883)(193, 884)(194, 885)(195, 886)(196, 802)(197, 803)(198, 804)(199, 805)(200, 806)(201, 807)(202, 808)(203, 809)(204, 810)(205, 811)(206, 812)(207, 813)(208, 814)(209, 815)(210, 816)(211, 817)(212, 831)(213, 905)(214, 906)(215, 907)(216, 908)(217, 909)(218, 910)(219, 911)(220, 912)(221, 913)(222, 914)(223, 827)(224, 828)(225, 829)(226, 830)(227, 832)(228, 833)(229, 834)(230, 835)(231, 836)(232, 837)(233, 838)(234, 839)(235, 840)(236, 841)(237, 842)(238, 843)(239, 935)(240, 936)(241, 937)(242, 938)(243, 939)(244, 940)(245, 941)(246, 942)(247, 943)(248, 944)(249, 945)(250, 946)(251, 947)(252, 948)(253, 949)(254, 950)(255, 951)(256, 952)(257, 861)(258, 862)(259, 863)(260, 864)(261, 865)(262, 866)(263, 867)(264, 868)(265, 869)(266, 870)(267, 953)(268, 958)(269, 957)(270, 956)(271, 955)(272, 954)(273, 959)(274, 960)(275, 961)(276, 962)(277, 963)(278, 964)(279, 965)(280, 966)(281, 967)(282, 968)(283, 969)(284, 970)(285, 971)(286, 972)(287, 887)(288, 888)(289, 889)(290, 890)(291, 891)(292, 892)(293, 893)(294, 894)(295, 895)(296, 896)(297, 897)(298, 898)(299, 899)(300, 900)(301, 901)(302, 902)(303, 903)(304, 904)(305, 915)(306, 920)(307, 919)(308, 918)(309, 917)(310, 916)(311, 921)(312, 922)(313, 923)(314, 924)(315, 925)(316, 926)(317, 927)(318, 928)(319, 929)(320, 930)(321, 931)(322, 932)(323, 933)(324, 934)(325, 973)(326, 974)(327, 975)(328, 976)(329, 977)(330, 978)(331, 979)(332, 980)(333, 981)(334, 982)(335, 983)(336, 984)(337, 985)(338, 986)(339, 987)(340, 988)(341, 989)(342, 990)(343, 991)(344, 992)(345, 993)(346, 994)(347, 995)(348, 996)(349, 997)(350, 998)(351, 999)(352, 1000)(353, 1001)(354, 1002)(355, 1003)(356, 1004)(357, 1005)(358, 1006)(359, 1007)(360, 1008)(361, 1009)(362, 1010)(363, 1011)(364, 1012)(365, 1013)(366, 1014)(367, 1015)(368, 1016)(369, 1017)(370, 1018)(371, 1019)(372, 1020)(373, 1021)(374, 1022)(375, 1023)(376, 1024)(377, 1025)(378, 1026)(379, 1027)(380, 1028)(381, 1029)(382, 1030)(383, 1031)(384, 1032)(385, 1033)(386, 1034)(387, 1035)(388, 1036)(389, 1037)(390, 1038)(391, 1039)(392, 1040)(393, 1041)(394, 1042)(395, 1043)(396, 1044)(397, 1045)(398, 1046)(399, 1047)(400, 1048)(401, 1049)(402, 1050)(403, 1051)(404, 1052)(405, 1053)(406, 1054)(407, 1055)(408, 1056)(409, 1057)(410, 1058)(411, 1059)(412, 1060)(413, 1061)(414, 1062)(415, 1063)(416, 1064)(417, 1065)(418, 1066)(419, 1067)(420, 1068)(421, 1069)(422, 1070)(423, 1071)(424, 1072)(425, 1073)(426, 1074)(427, 1075)(428, 1076)(429, 1077)(430, 1078)(431, 1079)(432, 1080)(433, 1081)(434, 1082)(435, 1083)(436, 1084)(437, 1085)(438, 1086)(439, 1087)(440, 1088)(441, 1089)(442, 1090)(443, 1091)(444, 1092)(445, 1093)(446, 1094)(447, 1095)(448, 1096)(449, 1097)(450, 1098)(451, 1099)(452, 1100)(453, 1101)(454, 1102)(455, 1103)(456, 1104)(457, 1105)(458, 1106)(459, 1107)(460, 1108)(461, 1109)(462, 1110)(463, 1111)(464, 1112)(465, 1113)(466, 1114)(467, 1115)(468, 1116)(469, 1117)(470, 1118)(471, 1119)(472, 1120)(473, 1121)(474, 1122)(475, 1123)(476, 1124)(477, 1125)(478, 1126)(479, 1127)(480, 1128)(481, 1129)(482, 1130)(483, 1131)(484, 1132)(485, 1133)(486, 1134)(487, 1135)(488, 1136)(489, 1137)(490, 1138)(491, 1139)(492, 1140)(493, 1141)(494, 1142)(495, 1143)(496, 1144)(497, 1145)(498, 1146)(499, 1147)(500, 1148)(501, 1149)(502, 1150)(503, 1151)(504, 1152)(505, 1153)(506, 1154)(507, 1155)(508, 1156)(509, 1157)(510, 1158)(511, 1159)(512, 1160)(513, 1161)(514, 1162)(515, 1163)(516, 1164)(517, 1165)(518, 1166)(519, 1167)(520, 1168)(521, 1169)(522, 1170)(523, 1171)(524, 1172)(525, 1173)(526, 1174)(527, 1175)(528, 1176)(529, 1177)(530, 1178)(531, 1179)(532, 1180)(533, 1181)(534, 1182)(535, 1183)(536, 1184)(537, 1185)(538, 1186)(539, 1187)(540, 1188)(541, 1189)(542, 1190)(543, 1191)(544, 1192)(545, 1193)(546, 1194)(547, 1195)(548, 1196)(549, 1197)(550, 1198)(551, 1199)(552, 1200)(553, 1201)(554, 1202)(555, 1203)(556, 1204)(557, 1205)(558, 1206)(559, 1207)(560, 1208)(561, 1209)(562, 1210)(563, 1211)(564, 1212)(565, 1213)(566, 1214)(567, 1215)(568, 1216)(569, 1217)(570, 1218)(571, 1219)(572, 1220)(573, 1221)(574, 1222)(575, 1223)(576, 1224)(577, 1225)(578, 1226)(579, 1227)(580, 1228)(581, 1229)(582, 1230)(583, 1231)(584, 1232)(585, 1233)(586, 1234)(587, 1235)(588, 1236)(589, 1237)(590, 1238)(591, 1239)(592, 1240)(593, 1241)(594, 1242)(595, 1243)(596, 1244)(597, 1245)(598, 1246)(599, 1247)(600, 1248)(601, 1249)(602, 1250)(603, 1251)(604, 1252)(605, 1253)(606, 1254)(607, 1255)(608, 1256)(609, 1257)(610, 1258)(611, 1259)(612, 1260)(613, 1261)(614, 1262)(615, 1263)(616, 1264)(617, 1265)(618, 1266)(619, 1267)(620, 1268)(621, 1269)(622, 1270)(623, 1271)(624, 1272)(625, 1273)(626, 1274)(627, 1275)(628, 1276)(629, 1277)(630, 1278)(631, 1279)(632, 1280)(633, 1281)(634, 1282)(635, 1283)(636, 1284)(637, 1285)(638, 1286)(639, 1287)(640, 1288)(641, 1289)(642, 1290)(643, 1291)(644, 1292)(645, 1293)(646, 1294)(647, 1295)(648, 1296)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3233
Graph:: simple bipartite
	v = 378 e = 648 f = 216
	degree seq :: [ 2^324, 12^54 ]

E28.3238 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 6})
Quotient :: regular
Aut^+ = S3 x (((C3 x C3) : C3) : C2) (small group id <324, 116>)
Aut   = $<648, 555>$ (small group id <648, 555>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T1^-1 * T2 * T1 * T2)^3, (T1^-1 * T2)^6, T1^-2 * T2 * T1^2 * T2 * T1^3 * T2 * T1^-2 * T2 * T1^-1, T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^2 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, (T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 29, 18, 8)(6, 13, 25, 48, 28, 14)(9, 19, 36, 68, 39, 20)(12, 23, 44, 83, 47, 24)(16, 31, 58, 109, 61, 32)(17, 33, 62, 115, 65, 34)(21, 40, 75, 136, 78, 41)(22, 42, 79, 143, 82, 43)(26, 50, 93, 169, 96, 51)(27, 52, 97, 174, 100, 53)(30, 56, 105, 144, 108, 57)(35, 66, 121, 149, 124, 67)(37, 70, 128, 214, 130, 71)(38, 72, 131, 217, 133, 73)(45, 85, 153, 237, 156, 86)(46, 87, 157, 241, 160, 88)(49, 91, 165, 137, 168, 92)(54, 101, 179, 142, 182, 102)(55, 103, 150, 234, 185, 104)(59, 111, 193, 227, 159, 112)(60, 98, 176, 228, 196, 113)(63, 117, 155, 231, 202, 118)(64, 119, 203, 232, 171, 94)(69, 126, 152, 84, 151, 127)(74, 134, 162, 89, 161, 135)(76, 138, 221, 292, 222, 139)(77, 140, 223, 293, 224, 141)(80, 145, 226, 294, 229, 146)(81, 147, 230, 297, 233, 148)(90, 163, 225, 212, 125, 164)(95, 158, 243, 218, 132, 172)(99, 177, 129, 215, 239, 154)(106, 187, 246, 299, 271, 188)(107, 189, 266, 298, 257, 173)(110, 166, 250, 207, 276, 192)(114, 197, 280, 211, 242, 198)(116, 200, 269, 186, 264, 180)(120, 205, 238, 190, 273, 206)(122, 208, 288, 296, 236, 209)(123, 178, 262, 295, 252, 210)(167, 251, 220, 291, 304, 240)(170, 235, 301, 263, 219, 254)(175, 259, 216, 249, 308, 245)(181, 244, 307, 290, 213, 265)(183, 253, 311, 289, 316, 258)(184, 267, 305, 247, 302, 268)(191, 274, 300, 282, 199, 248)(194, 272, 303, 286, 204, 278)(195, 279, 201, 284, 306, 270)(255, 310, 277, 319, 261, 313)(256, 314, 260, 318, 285, 309)(275, 312, 287, 320, 324, 321)(281, 315, 323, 322, 283, 317)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 35)(19, 37)(20, 38)(23, 45)(24, 46)(25, 49)(28, 54)(29, 55)(31, 59)(32, 60)(33, 63)(34, 64)(36, 69)(39, 74)(40, 76)(41, 77)(42, 80)(43, 81)(44, 84)(47, 89)(48, 90)(50, 94)(51, 95)(52, 98)(53, 99)(56, 106)(57, 107)(58, 110)(61, 114)(62, 116)(65, 120)(66, 122)(67, 123)(68, 125)(70, 129)(71, 118)(72, 132)(73, 111)(75, 137)(78, 142)(79, 144)(82, 149)(83, 150)(85, 154)(86, 155)(87, 158)(88, 159)(91, 166)(92, 167)(93, 170)(96, 173)(97, 175)(100, 178)(101, 180)(102, 181)(103, 183)(104, 184)(105, 186)(108, 190)(109, 191)(112, 194)(113, 195)(115, 199)(117, 201)(119, 204)(121, 207)(124, 211)(126, 213)(127, 197)(128, 188)(130, 216)(131, 208)(133, 219)(134, 220)(135, 206)(136, 185)(138, 203)(139, 218)(140, 196)(141, 215)(143, 225)(145, 227)(146, 228)(147, 231)(148, 232)(151, 235)(152, 236)(153, 238)(156, 240)(157, 242)(160, 244)(161, 245)(162, 246)(163, 247)(164, 248)(165, 249)(168, 252)(169, 253)(171, 255)(172, 256)(174, 258)(176, 260)(177, 261)(179, 263)(182, 266)(187, 270)(189, 272)(192, 275)(193, 277)(198, 281)(200, 283)(202, 285)(205, 287)(209, 286)(210, 284)(212, 289)(214, 267)(217, 268)(221, 290)(222, 269)(223, 291)(224, 276)(226, 295)(229, 296)(230, 298)(233, 299)(234, 300)(237, 302)(239, 303)(241, 305)(243, 306)(250, 309)(251, 310)(254, 312)(257, 315)(259, 317)(262, 320)(264, 319)(265, 318)(271, 321)(273, 314)(274, 297)(278, 308)(279, 301)(280, 313)(282, 294)(288, 322)(292, 316)(293, 311)(304, 323)(307, 324)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible
Dual of E28.3240
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 54 e = 162 f = 54
	degree seq :: [ 6^54 ]

E28.3239 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 6})
Quotient :: regular
Aut^+ = C3 x ((((C3 x C3) : C3) : C2) : C2) (small group id <324, 117>)
Aut   = $<648, 555>$ (small group id <648, 555>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-2, (T1^-1 * T2)^6, (T2 * T1 * T2 * T1^-1)^3, T1^2 * T2 * T1 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1 * T2 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 29, 18, 8)(6, 13, 25, 48, 28, 14)(9, 19, 36, 68, 39, 20)(12, 23, 44, 83, 47, 24)(16, 31, 58, 108, 61, 32)(17, 33, 62, 114, 65, 34)(21, 40, 75, 132, 78, 41)(22, 42, 79, 137, 82, 43)(26, 50, 93, 159, 96, 51)(27, 52, 97, 164, 100, 53)(30, 56, 84, 145, 107, 57)(35, 66, 89, 154, 122, 67)(37, 70, 125, 201, 127, 71)(38, 72, 128, 205, 130, 73)(45, 85, 146, 227, 149, 86)(46, 87, 150, 231, 153, 88)(49, 91, 138, 124, 69, 92)(54, 101, 143, 131, 74, 102)(55, 103, 171, 248, 174, 104)(59, 110, 181, 244, 183, 111)(60, 98, 166, 218, 185, 112)(63, 116, 148, 221, 191, 117)(64, 118, 192, 247, 161, 94)(76, 133, 210, 281, 212, 134)(77, 135, 213, 269, 214, 136)(80, 139, 216, 284, 219, 140)(81, 141, 220, 286, 223, 142)(90, 155, 237, 190, 240, 156)(95, 151, 233, 207, 129, 162)(99, 167, 254, 188, 229, 147)(105, 175, 261, 206, 263, 176)(106, 177, 264, 287, 266, 178)(109, 157, 241, 189, 115, 180)(113, 186, 260, 194, 119, 187)(120, 195, 276, 285, 277, 196)(121, 168, 250, 163, 249, 197)(123, 198, 262, 184, 270, 199)(126, 202, 239, 179, 267, 203)(144, 224, 288, 253, 289, 225)(152, 234, 297, 251, 172, 217)(158, 242, 299, 283, 301, 243)(160, 226, 290, 252, 165, 245)(169, 256, 307, 282, 308, 257)(170, 235, 293, 230, 292, 258)(173, 259, 294, 238, 211, 222)(182, 265, 296, 275, 193, 215)(200, 278, 295, 232, 291, 228)(204, 279, 298, 236, 208, 280)(209, 246, 300, 274, 306, 255)(268, 313, 317, 304, 322, 314)(271, 303, 318, 316, 324, 315)(272, 312, 319, 310, 323, 302)(273, 305, 320, 311, 321, 309)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 35)(19, 37)(20, 38)(23, 45)(24, 46)(25, 49)(28, 54)(29, 55)(31, 59)(32, 60)(33, 63)(34, 64)(36, 69)(39, 74)(40, 76)(41, 77)(42, 80)(43, 81)(44, 84)(47, 89)(48, 90)(50, 94)(51, 95)(52, 98)(53, 99)(56, 105)(57, 106)(58, 109)(61, 113)(62, 115)(65, 119)(66, 120)(67, 121)(68, 123)(70, 126)(71, 117)(72, 129)(73, 110)(75, 107)(78, 122)(79, 138)(82, 143)(83, 144)(85, 147)(86, 148)(87, 151)(88, 152)(91, 157)(92, 158)(93, 160)(96, 163)(97, 165)(100, 168)(101, 169)(102, 170)(103, 172)(104, 173)(108, 179)(111, 182)(112, 184)(114, 188)(116, 190)(118, 193)(124, 200)(125, 176)(127, 204)(128, 206)(130, 208)(131, 194)(132, 209)(133, 211)(134, 207)(135, 185)(136, 202)(137, 215)(139, 217)(140, 218)(141, 221)(142, 222)(145, 226)(146, 228)(149, 230)(150, 232)(153, 235)(154, 236)(155, 238)(156, 239)(159, 244)(161, 246)(162, 248)(164, 251)(166, 253)(167, 255)(171, 241)(174, 260)(175, 262)(177, 265)(178, 216)(180, 268)(181, 225)(183, 269)(186, 271)(187, 272)(189, 273)(191, 274)(192, 227)(195, 223)(196, 275)(197, 240)(198, 229)(199, 234)(201, 259)(203, 224)(205, 247)(210, 243)(212, 282)(213, 283)(214, 256)(219, 285)(220, 287)(231, 294)(233, 296)(237, 290)(242, 300)(245, 302)(249, 303)(250, 304)(252, 305)(254, 284)(257, 306)(258, 289)(261, 309)(263, 310)(264, 311)(266, 312)(267, 286)(270, 298)(276, 314)(277, 316)(278, 288)(279, 315)(280, 313)(281, 297)(291, 317)(292, 318)(293, 319)(295, 320)(299, 321)(301, 322)(307, 323)(308, 324)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 54 e = 162 f = 54
	degree seq :: [ 6^54 ]

E28.3240 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 6})
Quotient :: regular
Aut^+ = S3 x (((C3 x C3) : C3) : C2) (small group id <324, 116>)
Aut   = $<648, 555>$ (small group id <648, 555>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, T1^-1 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-1, T1^-1 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-1, (T1^-1 * T2)^6, (T1^-1 * T2 * T1 * T2)^3, (T2 * T1^-1 * T2 * T1^2 * T2 * T1^-1)^2, T2 * T1^-3 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-3 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 29, 18, 8)(6, 13, 25, 48, 28, 14)(9, 19, 36, 68, 39, 20)(12, 23, 44, 83, 47, 24)(16, 31, 58, 108, 61, 32)(17, 33, 62, 114, 65, 34)(21, 40, 75, 132, 78, 41)(22, 42, 79, 137, 82, 43)(26, 50, 93, 159, 96, 51)(27, 52, 97, 164, 100, 53)(30, 56, 84, 145, 107, 57)(35, 66, 89, 154, 122, 67)(37, 70, 125, 200, 127, 71)(38, 72, 128, 204, 130, 73)(45, 85, 146, 227, 149, 86)(46, 87, 150, 232, 153, 88)(49, 91, 138, 124, 69, 92)(54, 101, 143, 131, 74, 102)(55, 103, 171, 254, 174, 104)(59, 110, 181, 217, 152, 111)(60, 98, 166, 252, 184, 112)(63, 116, 188, 251, 190, 117)(64, 118, 191, 222, 161, 94)(76, 133, 210, 269, 211, 134)(77, 135, 212, 282, 214, 136)(80, 139, 216, 284, 219, 140)(81, 141, 220, 286, 223, 142)(90, 155, 237, 182, 240, 156)(95, 151, 234, 178, 249, 162)(99, 167, 126, 202, 229, 147)(105, 175, 261, 287, 263, 176)(106, 177, 255, 168, 250, 163)(109, 179, 256, 169, 115, 180)(113, 185, 260, 193, 119, 186)(120, 194, 274, 201, 275, 195)(121, 196, 276, 285, 277, 197)(123, 198, 272, 192, 271, 199)(129, 205, 268, 187, 239, 206)(144, 224, 288, 247, 289, 225)(148, 221, 172, 244, 295, 230)(157, 241, 299, 283, 301, 242)(158, 243, 297, 235, 296, 231)(160, 245, 298, 236, 165, 246)(170, 257, 307, 281, 308, 258)(173, 218, 213, 238, 291, 259)(183, 215, 189, 270, 294, 262)(203, 226, 290, 279, 207, 278)(208, 233, 293, 228, 292, 280)(209, 253, 305, 266, 300, 248)(264, 302, 317, 316, 324, 311)(265, 312, 318, 304, 323, 310)(267, 313, 319, 315, 322, 303)(273, 306, 320, 309, 321, 314)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 35)(19, 37)(20, 38)(23, 45)(24, 46)(25, 49)(28, 54)(29, 55)(31, 59)(32, 60)(33, 63)(34, 64)(36, 69)(39, 74)(40, 76)(41, 77)(42, 80)(43, 81)(44, 84)(47, 89)(48, 90)(50, 94)(51, 95)(52, 98)(53, 99)(56, 105)(57, 106)(58, 109)(61, 113)(62, 115)(65, 119)(66, 120)(67, 121)(68, 123)(70, 126)(71, 117)(72, 129)(73, 110)(75, 107)(78, 122)(79, 138)(82, 143)(83, 144)(85, 147)(86, 148)(87, 151)(88, 152)(91, 157)(92, 158)(93, 160)(96, 163)(97, 165)(100, 168)(101, 169)(102, 170)(103, 172)(104, 173)(108, 178)(111, 182)(112, 183)(114, 187)(116, 189)(118, 192)(124, 185)(125, 201)(127, 203)(128, 194)(130, 207)(131, 208)(132, 209)(133, 191)(134, 206)(135, 213)(136, 202)(137, 215)(139, 217)(140, 218)(141, 221)(142, 222)(145, 226)(146, 228)(149, 231)(150, 233)(153, 235)(154, 236)(155, 238)(156, 239)(159, 244)(161, 247)(162, 248)(164, 251)(166, 253)(167, 254)(171, 256)(174, 260)(175, 262)(176, 219)(177, 240)(179, 264)(180, 265)(181, 266)(184, 232)(186, 267)(188, 269)(190, 225)(193, 273)(195, 272)(196, 220)(197, 270)(198, 234)(199, 230)(200, 252)(204, 259)(205, 224)(210, 281)(211, 242)(212, 257)(214, 283)(216, 285)(223, 287)(227, 291)(229, 294)(237, 298)(241, 300)(243, 289)(245, 302)(246, 303)(249, 286)(250, 304)(255, 306)(258, 305)(261, 309)(263, 310)(268, 284)(271, 290)(274, 315)(275, 311)(276, 313)(277, 316)(278, 312)(279, 314)(280, 288)(282, 295)(292, 317)(293, 318)(296, 319)(297, 320)(299, 321)(301, 322)(307, 323)(308, 324)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible
Dual of E28.3238
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 54 e = 162 f = 54
	degree seq :: [ 6^54 ]

E28.3241 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 6})
Quotient :: edge
Aut^+ = C3 x ((((C3 x C3) : C3) : C2) : C2) (small group id <324, 117>)
Aut   = $<648, 555>$ (small group id <648, 555>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, T2^-1 * T1 * T2^2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^-1, T2^2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^-2 * T1, (T2^-1 * T1)^6, (T2 * T1 * T2^-1 * T1)^3, T2^2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-1 * T1 * T2 * T1, T2^-2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^3 * T1 * T2^-1 ]
Map:: polytopal
	R = (1, 3, 8, 18, 10, 4)(2, 5, 12, 25, 14, 6)(7, 15, 30, 58, 32, 16)(9, 19, 37, 71, 39, 20)(11, 22, 43, 82, 45, 23)(13, 26, 50, 95, 52, 27)(17, 33, 63, 116, 65, 34)(21, 40, 76, 134, 78, 41)(24, 46, 87, 150, 89, 47)(28, 53, 100, 168, 102, 54)(29, 55, 103, 172, 105, 56)(31, 59, 109, 181, 111, 60)(35, 66, 120, 195, 122, 67)(36, 68, 124, 200, 125, 69)(38, 72, 129, 207, 130, 73)(42, 79, 137, 216, 139, 80)(44, 83, 143, 225, 145, 84)(48, 90, 154, 239, 156, 91)(49, 92, 158, 244, 159, 93)(51, 96, 163, 251, 164, 97)(57, 106, 176, 126, 70, 107)(61, 112, 185, 131, 74, 113)(62, 114, 187, 250, 188, 115)(64, 117, 190, 274, 192, 118)(75, 132, 210, 281, 211, 133)(77, 135, 213, 219, 214, 136)(81, 140, 220, 160, 94, 141)(85, 146, 229, 165, 98, 147)(86, 148, 231, 206, 232, 149)(88, 151, 234, 299, 236, 152)(99, 166, 254, 306, 255, 167)(101, 169, 257, 175, 258, 170)(104, 173, 260, 205, 128, 174)(108, 178, 243, 157, 242, 179)(110, 182, 248, 161, 247, 183)(119, 193, 235, 300, 276, 194)(121, 196, 277, 288, 253, 197)(123, 198, 223, 142, 222, 199)(127, 203, 227, 144, 226, 204)(138, 217, 285, 249, 162, 218)(153, 237, 191, 275, 301, 238)(155, 240, 302, 263, 209, 241)(171, 233, 297, 264, 180, 259)(177, 261, 309, 283, 310, 262)(184, 266, 311, 282, 312, 267)(186, 268, 313, 271, 314, 269)(189, 272, 289, 224, 284, 215)(201, 278, 290, 256, 208, 279)(202, 280, 316, 273, 315, 270)(212, 252, 304, 245, 303, 265)(221, 286, 317, 308, 318, 287)(228, 291, 319, 307, 320, 292)(230, 293, 321, 296, 322, 294)(246, 305, 324, 298, 323, 295)(325, 326)(327, 331)(328, 333)(329, 335)(330, 337)(332, 341)(334, 345)(336, 348)(338, 352)(339, 353)(340, 355)(342, 359)(343, 360)(344, 362)(346, 366)(347, 368)(349, 372)(350, 373)(351, 375)(354, 381)(356, 385)(357, 386)(358, 388)(361, 394)(363, 398)(364, 399)(365, 401)(367, 405)(369, 409)(370, 410)(371, 412)(374, 418)(376, 422)(377, 423)(378, 425)(379, 421)(380, 428)(382, 432)(383, 407)(384, 434)(387, 411)(389, 424)(390, 443)(391, 445)(392, 447)(393, 417)(395, 451)(396, 452)(397, 403)(400, 413)(402, 426)(404, 462)(406, 466)(408, 468)(414, 477)(415, 479)(416, 481)(419, 485)(420, 486)(427, 495)(429, 499)(430, 464)(431, 501)(433, 504)(435, 493)(436, 508)(437, 510)(438, 507)(439, 482)(440, 513)(441, 497)(442, 515)(444, 500)(446, 509)(448, 473)(449, 525)(450, 526)(453, 530)(454, 532)(455, 489)(456, 533)(457, 529)(458, 536)(459, 469)(460, 522)(461, 539)(463, 543)(465, 545)(467, 548)(470, 552)(471, 554)(472, 551)(474, 557)(475, 541)(476, 559)(478, 544)(480, 553)(483, 569)(484, 570)(487, 574)(488, 576)(490, 577)(491, 573)(492, 580)(494, 566)(496, 540)(498, 563)(502, 587)(503, 547)(505, 562)(506, 589)(511, 594)(512, 595)(514, 597)(516, 592)(517, 561)(518, 549)(519, 542)(520, 568)(521, 565)(523, 596)(524, 564)(527, 571)(528, 599)(531, 575)(534, 586)(535, 606)(537, 607)(538, 590)(546, 612)(550, 614)(555, 619)(556, 620)(558, 622)(560, 617)(567, 621)(572, 624)(578, 611)(579, 631)(581, 632)(582, 615)(583, 618)(584, 609)(585, 628)(588, 629)(591, 627)(593, 608)(598, 626)(600, 630)(601, 623)(602, 616)(603, 610)(604, 613)(605, 625)(633, 647)(634, 642)(635, 646)(636, 644)(637, 645)(638, 643)(639, 641)(640, 648)
	L = (1, 325)(2, 326)(3, 327)(4, 328)(5, 329)(6, 330)(7, 331)(8, 332)(9, 333)(10, 334)(11, 335)(12, 336)(13, 337)(14, 338)(15, 339)(16, 340)(17, 341)(18, 342)(19, 343)(20, 344)(21, 345)(22, 346)(23, 347)(24, 348)(25, 349)(26, 350)(27, 351)(28, 352)(29, 353)(30, 354)(31, 355)(32, 356)(33, 357)(34, 358)(35, 359)(36, 360)(37, 361)(38, 362)(39, 363)(40, 364)(41, 365)(42, 366)(43, 367)(44, 368)(45, 369)(46, 370)(47, 371)(48, 372)(49, 373)(50, 374)(51, 375)(52, 376)(53, 377)(54, 378)(55, 379)(56, 380)(57, 381)(58, 382)(59, 383)(60, 384)(61, 385)(62, 386)(63, 387)(64, 388)(65, 389)(66, 390)(67, 391)(68, 392)(69, 393)(70, 394)(71, 395)(72, 396)(73, 397)(74, 398)(75, 399)(76, 400)(77, 401)(78, 402)(79, 403)(80, 404)(81, 405)(82, 406)(83, 407)(84, 408)(85, 409)(86, 410)(87, 411)(88, 412)(89, 413)(90, 414)(91, 415)(92, 416)(93, 417)(94, 418)(95, 419)(96, 420)(97, 421)(98, 422)(99, 423)(100, 424)(101, 425)(102, 426)(103, 427)(104, 428)(105, 429)(106, 430)(107, 431)(108, 432)(109, 433)(110, 434)(111, 435)(112, 436)(113, 437)(114, 438)(115, 439)(116, 440)(117, 441)(118, 442)(119, 443)(120, 444)(121, 445)(122, 446)(123, 447)(124, 448)(125, 449)(126, 450)(127, 451)(128, 452)(129, 453)(130, 454)(131, 455)(132, 456)(133, 457)(134, 458)(135, 459)(136, 460)(137, 461)(138, 462)(139, 463)(140, 464)(141, 465)(142, 466)(143, 467)(144, 468)(145, 469)(146, 470)(147, 471)(148, 472)(149, 473)(150, 474)(151, 475)(152, 476)(153, 477)(154, 478)(155, 479)(156, 480)(157, 481)(158, 482)(159, 483)(160, 484)(161, 485)(162, 486)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.3245
Transitivity :: ET+
Graph:: simple bipartite
	v = 216 e = 324 f = 54
	degree seq :: [ 2^162, 6^54 ]

E28.3242 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 6})
Quotient :: edge
Aut^+ = S3 x (((C3 x C3) : C3) : C2) (small group id <324, 116>)
Aut   = $<648, 555>$ (small group id <648, 555>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T2 * T1 * T2^-1 * T1)^3, (T2^-1 * T1)^6, T2^2 * T1 * T2^-3 * T1 * T2^-2 * T1 * T2^3 * T1, (T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1)^2, T2^2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-1 * T1 * T2 * T1 ]
Map:: polytopal
	R = (1, 3, 8, 18, 10, 4)(2, 5, 12, 25, 14, 6)(7, 15, 30, 58, 32, 16)(9, 19, 37, 71, 39, 20)(11, 22, 43, 82, 45, 23)(13, 26, 50, 95, 52, 27)(17, 33, 63, 117, 65, 34)(21, 40, 76, 139, 78, 41)(24, 46, 87, 157, 89, 47)(28, 53, 100, 179, 102, 54)(29, 55, 103, 184, 105, 56)(31, 59, 109, 193, 111, 60)(35, 66, 122, 209, 124, 67)(36, 68, 126, 213, 127, 69)(38, 72, 132, 218, 133, 73)(42, 79, 143, 226, 145, 80)(44, 83, 149, 235, 151, 84)(48, 90, 162, 251, 164, 91)(49, 92, 166, 255, 167, 93)(51, 96, 172, 260, 173, 97)(57, 106, 187, 138, 189, 107)(61, 112, 196, 142, 198, 113)(62, 114, 199, 283, 200, 115)(64, 118, 203, 284, 204, 119)(70, 128, 202, 116, 201, 129)(74, 134, 206, 120, 205, 135)(75, 136, 221, 292, 222, 137)(77, 140, 223, 293, 224, 141)(81, 146, 229, 178, 231, 147)(85, 152, 238, 182, 240, 153)(86, 154, 241, 310, 242, 155)(88, 158, 245, 311, 246, 159)(94, 168, 244, 156, 243, 169)(98, 174, 248, 160, 247, 175)(99, 176, 263, 319, 264, 177)(101, 180, 265, 320, 266, 181)(104, 185, 269, 217, 131, 186)(108, 190, 275, 216, 130, 191)(110, 194, 125, 212, 279, 195)(121, 207, 285, 317, 286, 208)(123, 210, 287, 301, 288, 211)(144, 227, 296, 259, 171, 228)(148, 232, 302, 258, 170, 233)(150, 236, 165, 254, 306, 237)(161, 249, 312, 290, 313, 250)(163, 252, 314, 274, 315, 253)(183, 267, 305, 280, 219, 268)(188, 272, 220, 291, 321, 273)(192, 276, 214, 271, 297, 277)(197, 281, 322, 289, 215, 282)(225, 294, 278, 307, 261, 295)(230, 299, 262, 318, 323, 300)(234, 303, 256, 298, 270, 304)(239, 308, 324, 316, 257, 309)(325, 326)(327, 331)(328, 333)(329, 335)(330, 337)(332, 341)(334, 345)(336, 348)(338, 352)(339, 353)(340, 355)(342, 359)(343, 360)(344, 362)(346, 366)(347, 368)(349, 372)(350, 373)(351, 375)(354, 381)(356, 385)(357, 386)(358, 388)(361, 394)(363, 398)(364, 399)(365, 401)(367, 405)(369, 409)(370, 410)(371, 412)(374, 418)(376, 422)(377, 423)(378, 425)(379, 421)(380, 428)(382, 432)(383, 407)(384, 434)(387, 440)(389, 444)(390, 445)(391, 447)(392, 449)(393, 417)(395, 454)(396, 455)(397, 403)(400, 462)(402, 466)(404, 468)(406, 472)(408, 474)(411, 480)(413, 484)(414, 485)(415, 487)(416, 489)(419, 494)(420, 495)(424, 502)(426, 506)(427, 507)(429, 483)(430, 470)(431, 512)(433, 516)(435, 504)(436, 493)(437, 521)(438, 519)(439, 490)(441, 486)(442, 509)(443, 469)(446, 481)(448, 503)(450, 479)(451, 538)(452, 539)(453, 476)(456, 500)(457, 543)(458, 544)(459, 499)(460, 496)(461, 541)(463, 488)(464, 475)(465, 536)(467, 549)(471, 554)(473, 558)(477, 563)(478, 561)(482, 551)(491, 580)(492, 581)(497, 585)(498, 586)(501, 583)(505, 578)(508, 573)(510, 594)(511, 595)(513, 590)(514, 598)(515, 557)(517, 574)(518, 602)(520, 604)(522, 569)(523, 572)(524, 597)(525, 591)(526, 588)(527, 564)(528, 605)(529, 601)(530, 565)(531, 550)(532, 559)(533, 599)(534, 579)(535, 584)(537, 576)(540, 614)(542, 577)(545, 613)(546, 568)(547, 615)(548, 555)(552, 621)(553, 622)(556, 625)(560, 629)(562, 631)(566, 624)(567, 618)(570, 632)(571, 628)(575, 626)(582, 641)(587, 640)(589, 642)(592, 623)(593, 630)(596, 619)(600, 633)(603, 620)(606, 627)(607, 639)(608, 638)(609, 644)(610, 643)(611, 635)(612, 634)(616, 637)(617, 636)(645, 648)(646, 647)
	L = (1, 325)(2, 326)(3, 327)(4, 328)(5, 329)(6, 330)(7, 331)(8, 332)(9, 333)(10, 334)(11, 335)(12, 336)(13, 337)(14, 338)(15, 339)(16, 340)(17, 341)(18, 342)(19, 343)(20, 344)(21, 345)(22, 346)(23, 347)(24, 348)(25, 349)(26, 350)(27, 351)(28, 352)(29, 353)(30, 354)(31, 355)(32, 356)(33, 357)(34, 358)(35, 359)(36, 360)(37, 361)(38, 362)(39, 363)(40, 364)(41, 365)(42, 366)(43, 367)(44, 368)(45, 369)(46, 370)(47, 371)(48, 372)(49, 373)(50, 374)(51, 375)(52, 376)(53, 377)(54, 378)(55, 379)(56, 380)(57, 381)(58, 382)(59, 383)(60, 384)(61, 385)(62, 386)(63, 387)(64, 388)(65, 389)(66, 390)(67, 391)(68, 392)(69, 393)(70, 394)(71, 395)(72, 396)(73, 397)(74, 398)(75, 399)(76, 400)(77, 401)(78, 402)(79, 403)(80, 404)(81, 405)(82, 406)(83, 407)(84, 408)(85, 409)(86, 410)(87, 411)(88, 412)(89, 413)(90, 414)(91, 415)(92, 416)(93, 417)(94, 418)(95, 419)(96, 420)(97, 421)(98, 422)(99, 423)(100, 424)(101, 425)(102, 426)(103, 427)(104, 428)(105, 429)(106, 430)(107, 431)(108, 432)(109, 433)(110, 434)(111, 435)(112, 436)(113, 437)(114, 438)(115, 439)(116, 440)(117, 441)(118, 442)(119, 443)(120, 444)(121, 445)(122, 446)(123, 447)(124, 448)(125, 449)(126, 450)(127, 451)(128, 452)(129, 453)(130, 454)(131, 455)(132, 456)(133, 457)(134, 458)(135, 459)(136, 460)(137, 461)(138, 462)(139, 463)(140, 464)(141, 465)(142, 466)(143, 467)(144, 468)(145, 469)(146, 470)(147, 471)(148, 472)(149, 473)(150, 474)(151, 475)(152, 476)(153, 477)(154, 478)(155, 479)(156, 480)(157, 481)(158, 482)(159, 483)(160, 484)(161, 485)(162, 486)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.3247
Transitivity :: ET+
Graph:: simple bipartite
	v = 216 e = 324 f = 54
	degree seq :: [ 2^162, 6^54 ]

E28.3243 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 6})
Quotient :: edge
Aut^+ = S3 x (((C3 x C3) : C3) : C2) (small group id <324, 116>)
Aut   = $<648, 555>$ (small group id <648, 555>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, T1 * T2^-2 * T1 * T2^-2 * T1 * T2^2 * T1 * T2^2, T1 * T2^2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^-2, (T2^-1 * T1)^6, (T2 * T1 * T2^-1 * T1)^3, (T2^-1 * T1 * T2^-1 * T1 * T2^2 * T1)^2, T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-3 * T1 * T2^-3 * T1 * T2 * T1 ]
Map:: polytopal
	R = (1, 3, 8, 18, 10, 4)(2, 5, 12, 25, 14, 6)(7, 15, 30, 58, 32, 16)(9, 19, 37, 71, 39, 20)(11, 22, 43, 82, 45, 23)(13, 26, 50, 95, 52, 27)(17, 33, 63, 116, 65, 34)(21, 40, 76, 134, 78, 41)(24, 46, 87, 150, 89, 47)(28, 53, 100, 168, 102, 54)(29, 55, 103, 172, 105, 56)(31, 59, 109, 181, 111, 60)(35, 66, 120, 195, 122, 67)(36, 68, 124, 200, 125, 69)(38, 72, 129, 206, 130, 73)(42, 79, 137, 216, 139, 80)(44, 83, 143, 225, 145, 84)(48, 90, 154, 239, 156, 91)(49, 92, 158, 244, 159, 93)(51, 96, 163, 250, 164, 97)(57, 106, 176, 126, 70, 107)(61, 112, 185, 131, 74, 113)(62, 114, 187, 271, 189, 115)(64, 117, 191, 228, 192, 118)(75, 132, 209, 243, 210, 133)(77, 135, 213, 282, 214, 136)(81, 140, 220, 160, 94, 141)(85, 146, 229, 165, 98, 147)(86, 148, 231, 296, 233, 149)(88, 151, 235, 184, 236, 152)(99, 166, 253, 199, 254, 167)(101, 169, 257, 307, 258, 170)(104, 173, 223, 142, 222, 174)(108, 178, 218, 138, 217, 179)(110, 182, 123, 198, 267, 183)(119, 193, 276, 297, 232, 194)(121, 196, 256, 291, 277, 197)(127, 202, 249, 162, 248, 203)(128, 204, 247, 161, 246, 205)(144, 226, 157, 242, 292, 227)(153, 237, 301, 272, 188, 238)(155, 240, 212, 266, 302, 241)(171, 259, 286, 255, 180, 260)(175, 262, 309, 283, 310, 263)(177, 264, 311, 275, 312, 265)(186, 268, 313, 281, 314, 269)(190, 273, 304, 251, 303, 245)(201, 234, 298, 279, 207, 278)(208, 274, 316, 270, 315, 280)(211, 224, 285, 215, 284, 261)(219, 287, 317, 308, 318, 288)(221, 289, 319, 300, 320, 290)(230, 293, 321, 306, 322, 294)(252, 299, 324, 295, 323, 305)(325, 326)(327, 331)(328, 333)(329, 335)(330, 337)(332, 341)(334, 345)(336, 348)(338, 352)(339, 353)(340, 355)(342, 359)(343, 360)(344, 362)(346, 366)(347, 368)(349, 372)(350, 373)(351, 375)(354, 381)(356, 385)(357, 386)(358, 388)(361, 394)(363, 398)(364, 399)(365, 401)(367, 405)(369, 409)(370, 410)(371, 412)(374, 418)(376, 422)(377, 423)(378, 425)(379, 421)(380, 428)(382, 432)(383, 407)(384, 434)(387, 411)(389, 424)(390, 443)(391, 445)(392, 447)(393, 417)(395, 451)(396, 452)(397, 403)(400, 413)(402, 426)(404, 462)(406, 466)(408, 468)(414, 477)(415, 479)(416, 481)(419, 485)(420, 486)(427, 495)(429, 476)(430, 499)(431, 501)(433, 504)(435, 508)(436, 484)(437, 510)(438, 507)(439, 512)(440, 514)(441, 497)(442, 463)(444, 500)(446, 509)(448, 523)(449, 525)(450, 470)(453, 490)(454, 531)(455, 532)(456, 487)(457, 529)(458, 535)(459, 536)(460, 522)(461, 539)(464, 543)(465, 545)(467, 548)(469, 552)(471, 554)(472, 551)(473, 556)(474, 558)(475, 541)(478, 544)(480, 553)(482, 567)(483, 569)(488, 575)(489, 576)(491, 573)(492, 579)(493, 580)(494, 566)(496, 561)(498, 585)(502, 590)(503, 570)(505, 568)(506, 563)(511, 594)(513, 589)(515, 598)(516, 599)(517, 540)(518, 564)(519, 550)(520, 562)(521, 574)(524, 549)(526, 547)(527, 596)(528, 597)(530, 565)(533, 605)(534, 587)(537, 592)(538, 607)(542, 610)(546, 615)(555, 619)(557, 614)(559, 623)(560, 624)(571, 621)(572, 622)(577, 630)(578, 612)(581, 617)(582, 632)(583, 611)(584, 618)(586, 608)(588, 627)(591, 616)(593, 609)(595, 626)(600, 631)(601, 620)(602, 613)(603, 629)(604, 628)(606, 625)(633, 647)(634, 646)(635, 648)(636, 645)(637, 644)(638, 642)(639, 641)(640, 643)
	L = (1, 325)(2, 326)(3, 327)(4, 328)(5, 329)(6, 330)(7, 331)(8, 332)(9, 333)(10, 334)(11, 335)(12, 336)(13, 337)(14, 338)(15, 339)(16, 340)(17, 341)(18, 342)(19, 343)(20, 344)(21, 345)(22, 346)(23, 347)(24, 348)(25, 349)(26, 350)(27, 351)(28, 352)(29, 353)(30, 354)(31, 355)(32, 356)(33, 357)(34, 358)(35, 359)(36, 360)(37, 361)(38, 362)(39, 363)(40, 364)(41, 365)(42, 366)(43, 367)(44, 368)(45, 369)(46, 370)(47, 371)(48, 372)(49, 373)(50, 374)(51, 375)(52, 376)(53, 377)(54, 378)(55, 379)(56, 380)(57, 381)(58, 382)(59, 383)(60, 384)(61, 385)(62, 386)(63, 387)(64, 388)(65, 389)(66, 390)(67, 391)(68, 392)(69, 393)(70, 394)(71, 395)(72, 396)(73, 397)(74, 398)(75, 399)(76, 400)(77, 401)(78, 402)(79, 403)(80, 404)(81, 405)(82, 406)(83, 407)(84, 408)(85, 409)(86, 410)(87, 411)(88, 412)(89, 413)(90, 414)(91, 415)(92, 416)(93, 417)(94, 418)(95, 419)(96, 420)(97, 421)(98, 422)(99, 423)(100, 424)(101, 425)(102, 426)(103, 427)(104, 428)(105, 429)(106, 430)(107, 431)(108, 432)(109, 433)(110, 434)(111, 435)(112, 436)(113, 437)(114, 438)(115, 439)(116, 440)(117, 441)(118, 442)(119, 443)(120, 444)(121, 445)(122, 446)(123, 447)(124, 448)(125, 449)(126, 450)(127, 451)(128, 452)(129, 453)(130, 454)(131, 455)(132, 456)(133, 457)(134, 458)(135, 459)(136, 460)(137, 461)(138, 462)(139, 463)(140, 464)(141, 465)(142, 466)(143, 467)(144, 468)(145, 469)(146, 470)(147, 471)(148, 472)(149, 473)(150, 474)(151, 475)(152, 476)(153, 477)(154, 478)(155, 479)(156, 480)(157, 481)(158, 482)(159, 483)(160, 484)(161, 485)(162, 486)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E28.3246
Transitivity :: ET+
Graph:: simple bipartite
	v = 216 e = 324 f = 54
	degree seq :: [ 2^162, 6^54 ]

E28.3244 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 6})
Quotient :: edge
Aut^+ = S3 x (((C3 x C3) : C3) : C2) (small group id <324, 116>)
Aut   = $<648, 555>$ (small group id <648, 555>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (F * T1)^2, (F * T2)^2, T1^6, T1^6, T2^6, T1^-1 * T2 * T1^-1 * T2^-2 * T1 * T2^-2 * T1^-1 * T2, T2 * T1^-1 * T2^-1 * T1^2 * T2^2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1, (T2^2 * T1^-1 * T2 * T1^-2)^2, T1^-1 * T2^-1 * T1 * T2^2 * T1 * T2^-1 * T1^-2 * T2^-2 * T1^-1, T2 * T1^-3 * T2^-1 * T1 * T2^-1 * T1^-3 * T2 * T1^-1, T1^-1 * T2^-2 * T1 * T2 * T1^-2 * T2^3 * T1^-2, T1^-2 * T2^-1 * T1^2 * T2 * T1^-1 * T2^2 * T1^-1 * T2^2, T1 * T2^-1 * T1 * T2^3 * T1^-1 * T2^2 * T1^-1 * T2^-2 * T1^2 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 10, 26, 15, 5)(2, 7, 19, 45, 22, 8)(4, 12, 31, 57, 24, 9)(6, 17, 40, 89, 43, 18)(11, 28, 65, 128, 59, 25)(13, 33, 74, 148, 69, 30)(14, 35, 78, 164, 81, 36)(16, 38, 84, 173, 87, 39)(20, 47, 104, 202, 98, 44)(21, 50, 109, 221, 112, 51)(23, 54, 117, 231, 120, 55)(27, 62, 134, 247, 130, 60)(29, 67, 142, 254, 138, 64)(32, 72, 135, 250, 150, 70)(34, 76, 159, 223, 162, 77)(37, 61, 131, 225, 111, 83)(41, 91, 188, 281, 182, 88)(42, 94, 193, 292, 196, 95)(46, 101, 66, 140, 204, 99)(48, 106, 214, 125, 210, 103)(49, 107, 216, 294, 219, 108)(52, 100, 205, 295, 195, 114)(53, 115, 229, 166, 230, 116)(56, 122, 239, 168, 80, 123)(58, 126, 241, 297, 244, 127)(63, 136, 197, 296, 249, 133)(68, 145, 242, 299, 211, 146)(71, 151, 209, 303, 240, 124)(73, 154, 261, 318, 260, 153)(75, 157, 226, 308, 232, 155)(79, 165, 267, 280, 181, 163)(82, 170, 270, 315, 263, 171)(85, 175, 169, 266, 272, 172)(86, 178, 275, 245, 139, 179)(90, 185, 105, 212, 282, 183)(92, 190, 288, 199, 286, 187)(93, 191, 289, 321, 290, 192)(96, 184, 283, 264, 160, 198)(97, 200, 118, 233, 298, 201)(102, 208, 277, 322, 302, 207)(110, 222, 309, 268, 271, 220)(113, 227, 312, 259, 152, 228)(119, 235, 147, 203, 300, 236)(121, 237, 314, 320, 274, 238)(129, 246, 306, 217, 278, 180)(132, 174, 273, 189, 287, 248)(137, 251, 301, 206, 156, 252)(141, 176, 161, 265, 279, 255)(143, 177, 167, 269, 316, 256)(144, 224, 311, 234, 305, 215)(149, 258, 276, 243, 317, 253)(158, 218, 307, 319, 304, 213)(186, 285, 257, 313, 323, 284)(194, 293, 324, 310, 262, 291)(325, 326, 330, 340, 337, 328)(327, 333, 347, 377, 353, 335)(329, 338, 358, 372, 344, 331)(332, 345, 373, 416, 365, 341)(334, 349, 382, 449, 387, 351)(336, 354, 392, 468, 397, 356)(339, 361, 406, 490, 403, 359)(342, 366, 417, 500, 409, 362)(343, 368, 421, 523, 426, 370)(346, 376, 437, 547, 434, 374)(348, 380, 445, 558, 442, 378)(350, 384, 453, 497, 456, 385)(352, 388, 461, 499, 465, 390)(355, 394, 473, 578, 476, 395)(357, 363, 410, 501, 482, 399)(360, 404, 491, 503, 484, 400)(364, 412, 505, 603, 510, 414)(367, 420, 521, 618, 518, 418)(369, 423, 527, 472, 530, 424)(371, 427, 533, 481, 537, 429)(375, 435, 548, 470, 541, 431)(379, 443, 515, 419, 519, 439)(381, 448, 508, 413, 507, 446)(383, 433, 544, 596, 566, 450)(386, 457, 551, 438, 520, 459)(389, 425, 531, 620, 522, 463)(391, 440, 514, 432, 542, 467)(393, 471, 581, 640, 565, 469)(396, 477, 513, 415, 511, 458)(398, 479, 586, 642, 587, 480)(401, 485, 516, 478, 539, 430)(402, 487, 506, 599, 582, 474)(405, 493, 576, 639, 561, 447)(407, 436, 550, 475, 583, 494)(408, 496, 595, 643, 598, 498)(411, 504, 601, 645, 600, 502)(422, 517, 615, 556, 441, 524)(428, 509, 608, 646, 602, 535)(444, 512, 597, 644, 637, 559)(451, 567, 613, 560, 627, 534)(452, 569, 605, 555, 632, 545)(454, 563, 606, 529, 625, 570)(455, 572, 607, 564, 624, 528)(460, 538, 629, 562, 631, 543)(462, 577, 617, 540, 630, 575)(464, 579, 604, 557, 635, 549)(466, 580, 609, 589, 486, 552)(483, 588, 611, 584, 634, 546)(488, 574, 616, 526, 623, 590)(489, 553, 619, 536, 628, 592)(492, 571, 610, 525, 621, 593)(495, 585, 614, 532, 612, 554)(568, 622, 591, 633, 648, 641)(573, 626, 647, 638, 594, 636)
	L = (1, 325)(2, 326)(3, 327)(4, 328)(5, 329)(6, 330)(7, 331)(8, 332)(9, 333)(10, 334)(11, 335)(12, 336)(13, 337)(14, 338)(15, 339)(16, 340)(17, 341)(18, 342)(19, 343)(20, 344)(21, 345)(22, 346)(23, 347)(24, 348)(25, 349)(26, 350)(27, 351)(28, 352)(29, 353)(30, 354)(31, 355)(32, 356)(33, 357)(34, 358)(35, 359)(36, 360)(37, 361)(38, 362)(39, 363)(40, 364)(41, 365)(42, 366)(43, 367)(44, 368)(45, 369)(46, 370)(47, 371)(48, 372)(49, 373)(50, 374)(51, 375)(52, 376)(53, 377)(54, 378)(55, 379)(56, 380)(57, 381)(58, 382)(59, 383)(60, 384)(61, 385)(62, 386)(63, 387)(64, 388)(65, 389)(66, 390)(67, 391)(68, 392)(69, 393)(70, 394)(71, 395)(72, 396)(73, 397)(74, 398)(75, 399)(76, 400)(77, 401)(78, 402)(79, 403)(80, 404)(81, 405)(82, 406)(83, 407)(84, 408)(85, 409)(86, 410)(87, 411)(88, 412)(89, 413)(90, 414)(91, 415)(92, 416)(93, 417)(94, 418)(95, 419)(96, 420)(97, 421)(98, 422)(99, 423)(100, 424)(101, 425)(102, 426)(103, 427)(104, 428)(105, 429)(106, 430)(107, 431)(108, 432)(109, 433)(110, 434)(111, 435)(112, 436)(113, 437)(114, 438)(115, 439)(116, 440)(117, 441)(118, 442)(119, 443)(120, 444)(121, 445)(122, 446)(123, 447)(124, 448)(125, 449)(126, 450)(127, 451)(128, 452)(129, 453)(130, 454)(131, 455)(132, 456)(133, 457)(134, 458)(135, 459)(136, 460)(137, 461)(138, 462)(139, 463)(140, 464)(141, 465)(142, 466)(143, 467)(144, 468)(145, 469)(146, 470)(147, 471)(148, 472)(149, 473)(150, 474)(151, 475)(152, 476)(153, 477)(154, 478)(155, 479)(156, 480)(157, 481)(158, 482)(159, 483)(160, 484)(161, 485)(162, 486)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)
	local type(s) :: { ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E28.3248
Transitivity :: ET+
Graph:: simple bipartite
	v = 108 e = 324 f = 162
	degree seq :: [ 6^108 ]

E28.3245 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 6})
Quotient :: loop
Aut^+ = C3 x ((((C3 x C3) : C3) : C2) : C2) (small group id <324, 117>)
Aut   = $<648, 555>$ (small group id <648, 555>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, T2^-1 * T1 * T2^2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^-1, T2^2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^-2 * T1, (T2^-1 * T1)^6, (T2 * T1 * T2^-1 * T1)^3, T2^2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-1 * T1 * T2 * T1, T2^-2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^3 * T1 * T2^-1 ]
Map::
	R = (1, 325, 3, 327, 8, 332, 18, 342, 10, 334, 4, 328)(2, 326, 5, 329, 12, 336, 25, 349, 14, 338, 6, 330)(7, 331, 15, 339, 30, 354, 58, 382, 32, 356, 16, 340)(9, 333, 19, 343, 37, 361, 71, 395, 39, 363, 20, 344)(11, 335, 22, 346, 43, 367, 82, 406, 45, 369, 23, 347)(13, 337, 26, 350, 50, 374, 95, 419, 52, 376, 27, 351)(17, 341, 33, 357, 63, 387, 116, 440, 65, 389, 34, 358)(21, 345, 40, 364, 76, 400, 134, 458, 78, 402, 41, 365)(24, 348, 46, 370, 87, 411, 150, 474, 89, 413, 47, 371)(28, 352, 53, 377, 100, 424, 168, 492, 102, 426, 54, 378)(29, 353, 55, 379, 103, 427, 172, 496, 105, 429, 56, 380)(31, 355, 59, 383, 109, 433, 181, 505, 111, 435, 60, 384)(35, 359, 66, 390, 120, 444, 195, 519, 122, 446, 67, 391)(36, 360, 68, 392, 124, 448, 200, 524, 125, 449, 69, 393)(38, 362, 72, 396, 129, 453, 207, 531, 130, 454, 73, 397)(42, 366, 79, 403, 137, 461, 216, 540, 139, 463, 80, 404)(44, 368, 83, 407, 143, 467, 225, 549, 145, 469, 84, 408)(48, 372, 90, 414, 154, 478, 239, 563, 156, 480, 91, 415)(49, 373, 92, 416, 158, 482, 244, 568, 159, 483, 93, 417)(51, 375, 96, 420, 163, 487, 251, 575, 164, 488, 97, 421)(57, 381, 106, 430, 176, 500, 126, 450, 70, 394, 107, 431)(61, 385, 112, 436, 185, 509, 131, 455, 74, 398, 113, 437)(62, 386, 114, 438, 187, 511, 250, 574, 188, 512, 115, 439)(64, 388, 117, 441, 190, 514, 274, 598, 192, 516, 118, 442)(75, 399, 132, 456, 210, 534, 281, 605, 211, 535, 133, 457)(77, 401, 135, 459, 213, 537, 219, 543, 214, 538, 136, 460)(81, 405, 140, 464, 220, 544, 160, 484, 94, 418, 141, 465)(85, 409, 146, 470, 229, 553, 165, 489, 98, 422, 147, 471)(86, 410, 148, 472, 231, 555, 206, 530, 232, 556, 149, 473)(88, 412, 151, 475, 234, 558, 299, 623, 236, 560, 152, 476)(99, 423, 166, 490, 254, 578, 306, 630, 255, 579, 167, 491)(101, 425, 169, 493, 257, 581, 175, 499, 258, 582, 170, 494)(104, 428, 173, 497, 260, 584, 205, 529, 128, 452, 174, 498)(108, 432, 178, 502, 243, 567, 157, 481, 242, 566, 179, 503)(110, 434, 182, 506, 248, 572, 161, 485, 247, 571, 183, 507)(119, 443, 193, 517, 235, 559, 300, 624, 276, 600, 194, 518)(121, 445, 196, 520, 277, 601, 288, 612, 253, 577, 197, 521)(123, 447, 198, 522, 223, 547, 142, 466, 222, 546, 199, 523)(127, 451, 203, 527, 227, 551, 144, 468, 226, 550, 204, 528)(138, 462, 217, 541, 285, 609, 249, 573, 162, 486, 218, 542)(153, 477, 237, 561, 191, 515, 275, 599, 301, 625, 238, 562)(155, 479, 240, 564, 302, 626, 263, 587, 209, 533, 241, 565)(171, 495, 233, 557, 297, 621, 264, 588, 180, 504, 259, 583)(177, 501, 261, 585, 309, 633, 283, 607, 310, 634, 262, 586)(184, 508, 266, 590, 311, 635, 282, 606, 312, 636, 267, 591)(186, 510, 268, 592, 313, 637, 271, 595, 314, 638, 269, 593)(189, 513, 272, 596, 289, 613, 224, 548, 284, 608, 215, 539)(201, 525, 278, 602, 290, 614, 256, 580, 208, 532, 279, 603)(202, 526, 280, 604, 316, 640, 273, 597, 315, 639, 270, 594)(212, 536, 252, 576, 304, 628, 245, 569, 303, 627, 265, 589)(221, 545, 286, 610, 317, 641, 308, 632, 318, 642, 287, 611)(228, 552, 291, 615, 319, 643, 307, 631, 320, 644, 292, 616)(230, 554, 293, 617, 321, 645, 296, 620, 322, 646, 294, 618)(246, 570, 305, 629, 324, 648, 298, 622, 323, 647, 295, 619)
	L = (1, 326)(2, 325)(3, 331)(4, 333)(5, 335)(6, 337)(7, 327)(8, 341)(9, 328)(10, 345)(11, 329)(12, 348)(13, 330)(14, 352)(15, 353)(16, 355)(17, 332)(18, 359)(19, 360)(20, 362)(21, 334)(22, 366)(23, 368)(24, 336)(25, 372)(26, 373)(27, 375)(28, 338)(29, 339)(30, 381)(31, 340)(32, 385)(33, 386)(34, 388)(35, 342)(36, 343)(37, 394)(38, 344)(39, 398)(40, 399)(41, 401)(42, 346)(43, 405)(44, 347)(45, 409)(46, 410)(47, 412)(48, 349)(49, 350)(50, 418)(51, 351)(52, 422)(53, 423)(54, 425)(55, 421)(56, 428)(57, 354)(58, 432)(59, 407)(60, 434)(61, 356)(62, 357)(63, 411)(64, 358)(65, 424)(66, 443)(67, 445)(68, 447)(69, 417)(70, 361)(71, 451)(72, 452)(73, 403)(74, 363)(75, 364)(76, 413)(77, 365)(78, 426)(79, 397)(80, 462)(81, 367)(82, 466)(83, 383)(84, 468)(85, 369)(86, 370)(87, 387)(88, 371)(89, 400)(90, 477)(91, 479)(92, 481)(93, 393)(94, 374)(95, 485)(96, 486)(97, 379)(98, 376)(99, 377)(100, 389)(101, 378)(102, 402)(103, 495)(104, 380)(105, 499)(106, 464)(107, 501)(108, 382)(109, 504)(110, 384)(111, 493)(112, 508)(113, 510)(114, 507)(115, 482)(116, 513)(117, 497)(118, 515)(119, 390)(120, 500)(121, 391)(122, 509)(123, 392)(124, 473)(125, 525)(126, 526)(127, 395)(128, 396)(129, 530)(130, 532)(131, 489)(132, 533)(133, 529)(134, 536)(135, 469)(136, 522)(137, 539)(138, 404)(139, 543)(140, 430)(141, 545)(142, 406)(143, 548)(144, 408)(145, 459)(146, 552)(147, 554)(148, 551)(149, 448)(150, 557)(151, 541)(152, 559)(153, 414)(154, 544)(155, 415)(156, 553)(157, 416)(158, 439)(159, 569)(160, 570)(161, 419)(162, 420)(163, 574)(164, 576)(165, 455)(166, 577)(167, 573)(168, 580)(169, 435)(170, 566)(171, 427)(172, 540)(173, 441)(174, 563)(175, 429)(176, 444)(177, 431)(178, 587)(179, 547)(180, 433)(181, 562)(182, 589)(183, 438)(184, 436)(185, 446)(186, 437)(187, 594)(188, 595)(189, 440)(190, 597)(191, 442)(192, 592)(193, 561)(194, 549)(195, 542)(196, 568)(197, 565)(198, 460)(199, 596)(200, 564)(201, 449)(202, 450)(203, 571)(204, 599)(205, 457)(206, 453)(207, 575)(208, 454)(209, 456)(210, 586)(211, 606)(212, 458)(213, 607)(214, 590)(215, 461)(216, 496)(217, 475)(218, 519)(219, 463)(220, 478)(221, 465)(222, 612)(223, 503)(224, 467)(225, 518)(226, 614)(227, 472)(228, 470)(229, 480)(230, 471)(231, 619)(232, 620)(233, 474)(234, 622)(235, 476)(236, 617)(237, 517)(238, 505)(239, 498)(240, 524)(241, 521)(242, 494)(243, 621)(244, 520)(245, 483)(246, 484)(247, 527)(248, 624)(249, 491)(250, 487)(251, 531)(252, 488)(253, 490)(254, 611)(255, 631)(256, 492)(257, 632)(258, 615)(259, 618)(260, 609)(261, 628)(262, 534)(263, 502)(264, 629)(265, 506)(266, 538)(267, 627)(268, 516)(269, 608)(270, 511)(271, 512)(272, 523)(273, 514)(274, 626)(275, 528)(276, 630)(277, 623)(278, 616)(279, 610)(280, 613)(281, 625)(282, 535)(283, 537)(284, 593)(285, 584)(286, 603)(287, 578)(288, 546)(289, 604)(290, 550)(291, 582)(292, 602)(293, 560)(294, 583)(295, 555)(296, 556)(297, 567)(298, 558)(299, 601)(300, 572)(301, 605)(302, 598)(303, 591)(304, 585)(305, 588)(306, 600)(307, 579)(308, 581)(309, 647)(310, 642)(311, 646)(312, 644)(313, 645)(314, 643)(315, 641)(316, 648)(317, 639)(318, 634)(319, 638)(320, 636)(321, 637)(322, 635)(323, 633)(324, 640)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.3241
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 54 e = 324 f = 216
	degree seq :: [ 12^54 ]

E28.3246 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 6})
Quotient :: loop
Aut^+ = S3 x (((C3 x C3) : C3) : C2) (small group id <324, 116>)
Aut   = $<648, 555>$ (small group id <648, 555>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T2 * T1 * T2^-1 * T1)^3, (T2^-1 * T1)^6, T2^2 * T1 * T2^-3 * T1 * T2^-2 * T1 * T2^3 * T1, (T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1)^2, T2^2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-1 * T1 * T2 * T1 ]
Map::
	R = (1, 325, 3, 327, 8, 332, 18, 342, 10, 334, 4, 328)(2, 326, 5, 329, 12, 336, 25, 349, 14, 338, 6, 330)(7, 331, 15, 339, 30, 354, 58, 382, 32, 356, 16, 340)(9, 333, 19, 343, 37, 361, 71, 395, 39, 363, 20, 344)(11, 335, 22, 346, 43, 367, 82, 406, 45, 369, 23, 347)(13, 337, 26, 350, 50, 374, 95, 419, 52, 376, 27, 351)(17, 341, 33, 357, 63, 387, 117, 441, 65, 389, 34, 358)(21, 345, 40, 364, 76, 400, 139, 463, 78, 402, 41, 365)(24, 348, 46, 370, 87, 411, 157, 481, 89, 413, 47, 371)(28, 352, 53, 377, 100, 424, 179, 503, 102, 426, 54, 378)(29, 353, 55, 379, 103, 427, 184, 508, 105, 429, 56, 380)(31, 355, 59, 383, 109, 433, 193, 517, 111, 435, 60, 384)(35, 359, 66, 390, 122, 446, 209, 533, 124, 448, 67, 391)(36, 360, 68, 392, 126, 450, 213, 537, 127, 451, 69, 393)(38, 362, 72, 396, 132, 456, 218, 542, 133, 457, 73, 397)(42, 366, 79, 403, 143, 467, 226, 550, 145, 469, 80, 404)(44, 368, 83, 407, 149, 473, 235, 559, 151, 475, 84, 408)(48, 372, 90, 414, 162, 486, 251, 575, 164, 488, 91, 415)(49, 373, 92, 416, 166, 490, 255, 579, 167, 491, 93, 417)(51, 375, 96, 420, 172, 496, 260, 584, 173, 497, 97, 421)(57, 381, 106, 430, 187, 511, 138, 462, 189, 513, 107, 431)(61, 385, 112, 436, 196, 520, 142, 466, 198, 522, 113, 437)(62, 386, 114, 438, 199, 523, 283, 607, 200, 524, 115, 439)(64, 388, 118, 442, 203, 527, 284, 608, 204, 528, 119, 443)(70, 394, 128, 452, 202, 526, 116, 440, 201, 525, 129, 453)(74, 398, 134, 458, 206, 530, 120, 444, 205, 529, 135, 459)(75, 399, 136, 460, 221, 545, 292, 616, 222, 546, 137, 461)(77, 401, 140, 464, 223, 547, 293, 617, 224, 548, 141, 465)(81, 405, 146, 470, 229, 553, 178, 502, 231, 555, 147, 471)(85, 409, 152, 476, 238, 562, 182, 506, 240, 564, 153, 477)(86, 410, 154, 478, 241, 565, 310, 634, 242, 566, 155, 479)(88, 412, 158, 482, 245, 569, 311, 635, 246, 570, 159, 483)(94, 418, 168, 492, 244, 568, 156, 480, 243, 567, 169, 493)(98, 422, 174, 498, 248, 572, 160, 484, 247, 571, 175, 499)(99, 423, 176, 500, 263, 587, 319, 643, 264, 588, 177, 501)(101, 425, 180, 504, 265, 589, 320, 644, 266, 590, 181, 505)(104, 428, 185, 509, 269, 593, 217, 541, 131, 455, 186, 510)(108, 432, 190, 514, 275, 599, 216, 540, 130, 454, 191, 515)(110, 434, 194, 518, 125, 449, 212, 536, 279, 603, 195, 519)(121, 445, 207, 531, 285, 609, 317, 641, 286, 610, 208, 532)(123, 447, 210, 534, 287, 611, 301, 625, 288, 612, 211, 535)(144, 468, 227, 551, 296, 620, 259, 583, 171, 495, 228, 552)(148, 472, 232, 556, 302, 626, 258, 582, 170, 494, 233, 557)(150, 474, 236, 560, 165, 489, 254, 578, 306, 630, 237, 561)(161, 485, 249, 573, 312, 636, 290, 614, 313, 637, 250, 574)(163, 487, 252, 576, 314, 638, 274, 598, 315, 639, 253, 577)(183, 507, 267, 591, 305, 629, 280, 604, 219, 543, 268, 592)(188, 512, 272, 596, 220, 544, 291, 615, 321, 645, 273, 597)(192, 516, 276, 600, 214, 538, 271, 595, 297, 621, 277, 601)(197, 521, 281, 605, 322, 646, 289, 613, 215, 539, 282, 606)(225, 549, 294, 618, 278, 602, 307, 631, 261, 585, 295, 619)(230, 554, 299, 623, 262, 586, 318, 642, 323, 647, 300, 624)(234, 558, 303, 627, 256, 580, 298, 622, 270, 594, 304, 628)(239, 563, 308, 632, 324, 648, 316, 640, 257, 581, 309, 633)
	L = (1, 326)(2, 325)(3, 331)(4, 333)(5, 335)(6, 337)(7, 327)(8, 341)(9, 328)(10, 345)(11, 329)(12, 348)(13, 330)(14, 352)(15, 353)(16, 355)(17, 332)(18, 359)(19, 360)(20, 362)(21, 334)(22, 366)(23, 368)(24, 336)(25, 372)(26, 373)(27, 375)(28, 338)(29, 339)(30, 381)(31, 340)(32, 385)(33, 386)(34, 388)(35, 342)(36, 343)(37, 394)(38, 344)(39, 398)(40, 399)(41, 401)(42, 346)(43, 405)(44, 347)(45, 409)(46, 410)(47, 412)(48, 349)(49, 350)(50, 418)(51, 351)(52, 422)(53, 423)(54, 425)(55, 421)(56, 428)(57, 354)(58, 432)(59, 407)(60, 434)(61, 356)(62, 357)(63, 440)(64, 358)(65, 444)(66, 445)(67, 447)(68, 449)(69, 417)(70, 361)(71, 454)(72, 455)(73, 403)(74, 363)(75, 364)(76, 462)(77, 365)(78, 466)(79, 397)(80, 468)(81, 367)(82, 472)(83, 383)(84, 474)(85, 369)(86, 370)(87, 480)(88, 371)(89, 484)(90, 485)(91, 487)(92, 489)(93, 393)(94, 374)(95, 494)(96, 495)(97, 379)(98, 376)(99, 377)(100, 502)(101, 378)(102, 506)(103, 507)(104, 380)(105, 483)(106, 470)(107, 512)(108, 382)(109, 516)(110, 384)(111, 504)(112, 493)(113, 521)(114, 519)(115, 490)(116, 387)(117, 486)(118, 509)(119, 469)(120, 389)(121, 390)(122, 481)(123, 391)(124, 503)(125, 392)(126, 479)(127, 538)(128, 539)(129, 476)(130, 395)(131, 396)(132, 500)(133, 543)(134, 544)(135, 499)(136, 496)(137, 541)(138, 400)(139, 488)(140, 475)(141, 536)(142, 402)(143, 549)(144, 404)(145, 443)(146, 430)(147, 554)(148, 406)(149, 558)(150, 408)(151, 464)(152, 453)(153, 563)(154, 561)(155, 450)(156, 411)(157, 446)(158, 551)(159, 429)(160, 413)(161, 414)(162, 441)(163, 415)(164, 463)(165, 416)(166, 439)(167, 580)(168, 581)(169, 436)(170, 419)(171, 420)(172, 460)(173, 585)(174, 586)(175, 459)(176, 456)(177, 583)(178, 424)(179, 448)(180, 435)(181, 578)(182, 426)(183, 427)(184, 573)(185, 442)(186, 594)(187, 595)(188, 431)(189, 590)(190, 598)(191, 557)(192, 433)(193, 574)(194, 602)(195, 438)(196, 604)(197, 437)(198, 569)(199, 572)(200, 597)(201, 591)(202, 588)(203, 564)(204, 605)(205, 601)(206, 565)(207, 550)(208, 559)(209, 599)(210, 579)(211, 584)(212, 465)(213, 576)(214, 451)(215, 452)(216, 614)(217, 461)(218, 577)(219, 457)(220, 458)(221, 613)(222, 568)(223, 615)(224, 555)(225, 467)(226, 531)(227, 482)(228, 621)(229, 622)(230, 471)(231, 548)(232, 625)(233, 515)(234, 473)(235, 532)(236, 629)(237, 478)(238, 631)(239, 477)(240, 527)(241, 530)(242, 624)(243, 618)(244, 546)(245, 522)(246, 632)(247, 628)(248, 523)(249, 508)(250, 517)(251, 626)(252, 537)(253, 542)(254, 505)(255, 534)(256, 491)(257, 492)(258, 641)(259, 501)(260, 535)(261, 497)(262, 498)(263, 640)(264, 526)(265, 642)(266, 513)(267, 525)(268, 623)(269, 630)(270, 510)(271, 511)(272, 619)(273, 524)(274, 514)(275, 533)(276, 633)(277, 529)(278, 518)(279, 620)(280, 520)(281, 528)(282, 627)(283, 639)(284, 638)(285, 644)(286, 643)(287, 635)(288, 634)(289, 545)(290, 540)(291, 547)(292, 637)(293, 636)(294, 567)(295, 596)(296, 603)(297, 552)(298, 553)(299, 592)(300, 566)(301, 556)(302, 575)(303, 606)(304, 571)(305, 560)(306, 593)(307, 562)(308, 570)(309, 600)(310, 612)(311, 611)(312, 617)(313, 616)(314, 608)(315, 607)(316, 587)(317, 582)(318, 589)(319, 610)(320, 609)(321, 648)(322, 647)(323, 646)(324, 645)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.3243
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 54 e = 324 f = 216
	degree seq :: [ 12^54 ]

E28.3247 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 6})
Quotient :: loop
Aut^+ = S3 x (((C3 x C3) : C3) : C2) (small group id <324, 116>)
Aut   = $<648, 555>$ (small group id <648, 555>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, T1 * T2^-2 * T1 * T2^-2 * T1 * T2^2 * T1 * T2^2, T1 * T2^2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^-2, (T2^-1 * T1)^6, (T2 * T1 * T2^-1 * T1)^3, (T2^-1 * T1 * T2^-1 * T1 * T2^2 * T1)^2, T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-3 * T1 * T2^-3 * T1 * T2 * T1 ]
Map::
	R = (1, 325, 3, 327, 8, 332, 18, 342, 10, 334, 4, 328)(2, 326, 5, 329, 12, 336, 25, 349, 14, 338, 6, 330)(7, 331, 15, 339, 30, 354, 58, 382, 32, 356, 16, 340)(9, 333, 19, 343, 37, 361, 71, 395, 39, 363, 20, 344)(11, 335, 22, 346, 43, 367, 82, 406, 45, 369, 23, 347)(13, 337, 26, 350, 50, 374, 95, 419, 52, 376, 27, 351)(17, 341, 33, 357, 63, 387, 116, 440, 65, 389, 34, 358)(21, 345, 40, 364, 76, 400, 134, 458, 78, 402, 41, 365)(24, 348, 46, 370, 87, 411, 150, 474, 89, 413, 47, 371)(28, 352, 53, 377, 100, 424, 168, 492, 102, 426, 54, 378)(29, 353, 55, 379, 103, 427, 172, 496, 105, 429, 56, 380)(31, 355, 59, 383, 109, 433, 181, 505, 111, 435, 60, 384)(35, 359, 66, 390, 120, 444, 195, 519, 122, 446, 67, 391)(36, 360, 68, 392, 124, 448, 200, 524, 125, 449, 69, 393)(38, 362, 72, 396, 129, 453, 206, 530, 130, 454, 73, 397)(42, 366, 79, 403, 137, 461, 216, 540, 139, 463, 80, 404)(44, 368, 83, 407, 143, 467, 225, 549, 145, 469, 84, 408)(48, 372, 90, 414, 154, 478, 239, 563, 156, 480, 91, 415)(49, 373, 92, 416, 158, 482, 244, 568, 159, 483, 93, 417)(51, 375, 96, 420, 163, 487, 250, 574, 164, 488, 97, 421)(57, 381, 106, 430, 176, 500, 126, 450, 70, 394, 107, 431)(61, 385, 112, 436, 185, 509, 131, 455, 74, 398, 113, 437)(62, 386, 114, 438, 187, 511, 271, 595, 189, 513, 115, 439)(64, 388, 117, 441, 191, 515, 228, 552, 192, 516, 118, 442)(75, 399, 132, 456, 209, 533, 243, 567, 210, 534, 133, 457)(77, 401, 135, 459, 213, 537, 282, 606, 214, 538, 136, 460)(81, 405, 140, 464, 220, 544, 160, 484, 94, 418, 141, 465)(85, 409, 146, 470, 229, 553, 165, 489, 98, 422, 147, 471)(86, 410, 148, 472, 231, 555, 296, 620, 233, 557, 149, 473)(88, 412, 151, 475, 235, 559, 184, 508, 236, 560, 152, 476)(99, 423, 166, 490, 253, 577, 199, 523, 254, 578, 167, 491)(101, 425, 169, 493, 257, 581, 307, 631, 258, 582, 170, 494)(104, 428, 173, 497, 223, 547, 142, 466, 222, 546, 174, 498)(108, 432, 178, 502, 218, 542, 138, 462, 217, 541, 179, 503)(110, 434, 182, 506, 123, 447, 198, 522, 267, 591, 183, 507)(119, 443, 193, 517, 276, 600, 297, 621, 232, 556, 194, 518)(121, 445, 196, 520, 256, 580, 291, 615, 277, 601, 197, 521)(127, 451, 202, 526, 249, 573, 162, 486, 248, 572, 203, 527)(128, 452, 204, 528, 247, 571, 161, 485, 246, 570, 205, 529)(144, 468, 226, 550, 157, 481, 242, 566, 292, 616, 227, 551)(153, 477, 237, 561, 301, 625, 272, 596, 188, 512, 238, 562)(155, 479, 240, 564, 212, 536, 266, 590, 302, 626, 241, 565)(171, 495, 259, 583, 286, 610, 255, 579, 180, 504, 260, 584)(175, 499, 262, 586, 309, 633, 283, 607, 310, 634, 263, 587)(177, 501, 264, 588, 311, 635, 275, 599, 312, 636, 265, 589)(186, 510, 268, 592, 313, 637, 281, 605, 314, 638, 269, 593)(190, 514, 273, 597, 304, 628, 251, 575, 303, 627, 245, 569)(201, 525, 234, 558, 298, 622, 279, 603, 207, 531, 278, 602)(208, 532, 274, 598, 316, 640, 270, 594, 315, 639, 280, 604)(211, 535, 224, 548, 285, 609, 215, 539, 284, 608, 261, 585)(219, 543, 287, 611, 317, 641, 308, 632, 318, 642, 288, 612)(221, 545, 289, 613, 319, 643, 300, 624, 320, 644, 290, 614)(230, 554, 293, 617, 321, 645, 306, 630, 322, 646, 294, 618)(252, 576, 299, 623, 324, 648, 295, 619, 323, 647, 305, 629)
	L = (1, 326)(2, 325)(3, 331)(4, 333)(5, 335)(6, 337)(7, 327)(8, 341)(9, 328)(10, 345)(11, 329)(12, 348)(13, 330)(14, 352)(15, 353)(16, 355)(17, 332)(18, 359)(19, 360)(20, 362)(21, 334)(22, 366)(23, 368)(24, 336)(25, 372)(26, 373)(27, 375)(28, 338)(29, 339)(30, 381)(31, 340)(32, 385)(33, 386)(34, 388)(35, 342)(36, 343)(37, 394)(38, 344)(39, 398)(40, 399)(41, 401)(42, 346)(43, 405)(44, 347)(45, 409)(46, 410)(47, 412)(48, 349)(49, 350)(50, 418)(51, 351)(52, 422)(53, 423)(54, 425)(55, 421)(56, 428)(57, 354)(58, 432)(59, 407)(60, 434)(61, 356)(62, 357)(63, 411)(64, 358)(65, 424)(66, 443)(67, 445)(68, 447)(69, 417)(70, 361)(71, 451)(72, 452)(73, 403)(74, 363)(75, 364)(76, 413)(77, 365)(78, 426)(79, 397)(80, 462)(81, 367)(82, 466)(83, 383)(84, 468)(85, 369)(86, 370)(87, 387)(88, 371)(89, 400)(90, 477)(91, 479)(92, 481)(93, 393)(94, 374)(95, 485)(96, 486)(97, 379)(98, 376)(99, 377)(100, 389)(101, 378)(102, 402)(103, 495)(104, 380)(105, 476)(106, 499)(107, 501)(108, 382)(109, 504)(110, 384)(111, 508)(112, 484)(113, 510)(114, 507)(115, 512)(116, 514)(117, 497)(118, 463)(119, 390)(120, 500)(121, 391)(122, 509)(123, 392)(124, 523)(125, 525)(126, 470)(127, 395)(128, 396)(129, 490)(130, 531)(131, 532)(132, 487)(133, 529)(134, 535)(135, 536)(136, 522)(137, 539)(138, 404)(139, 442)(140, 543)(141, 545)(142, 406)(143, 548)(144, 408)(145, 552)(146, 450)(147, 554)(148, 551)(149, 556)(150, 558)(151, 541)(152, 429)(153, 414)(154, 544)(155, 415)(156, 553)(157, 416)(158, 567)(159, 569)(160, 436)(161, 419)(162, 420)(163, 456)(164, 575)(165, 576)(166, 453)(167, 573)(168, 579)(169, 580)(170, 566)(171, 427)(172, 561)(173, 441)(174, 585)(175, 430)(176, 444)(177, 431)(178, 590)(179, 570)(180, 433)(181, 568)(182, 563)(183, 438)(184, 435)(185, 446)(186, 437)(187, 594)(188, 439)(189, 589)(190, 440)(191, 598)(192, 599)(193, 540)(194, 564)(195, 550)(196, 562)(197, 574)(198, 460)(199, 448)(200, 549)(201, 449)(202, 547)(203, 596)(204, 597)(205, 457)(206, 565)(207, 454)(208, 455)(209, 605)(210, 587)(211, 458)(212, 459)(213, 592)(214, 607)(215, 461)(216, 517)(217, 475)(218, 610)(219, 464)(220, 478)(221, 465)(222, 615)(223, 526)(224, 467)(225, 524)(226, 519)(227, 472)(228, 469)(229, 480)(230, 471)(231, 619)(232, 473)(233, 614)(234, 474)(235, 623)(236, 624)(237, 496)(238, 520)(239, 506)(240, 518)(241, 530)(242, 494)(243, 482)(244, 505)(245, 483)(246, 503)(247, 621)(248, 622)(249, 491)(250, 521)(251, 488)(252, 489)(253, 630)(254, 612)(255, 492)(256, 493)(257, 617)(258, 632)(259, 611)(260, 618)(261, 498)(262, 608)(263, 534)(264, 627)(265, 513)(266, 502)(267, 616)(268, 537)(269, 609)(270, 511)(271, 626)(272, 527)(273, 528)(274, 515)(275, 516)(276, 631)(277, 620)(278, 613)(279, 629)(280, 628)(281, 533)(282, 625)(283, 538)(284, 586)(285, 593)(286, 542)(287, 583)(288, 578)(289, 602)(290, 557)(291, 546)(292, 591)(293, 581)(294, 584)(295, 555)(296, 601)(297, 571)(298, 572)(299, 559)(300, 560)(301, 606)(302, 595)(303, 588)(304, 604)(305, 603)(306, 577)(307, 600)(308, 582)(309, 647)(310, 646)(311, 648)(312, 645)(313, 644)(314, 642)(315, 641)(316, 643)(317, 639)(318, 638)(319, 640)(320, 637)(321, 636)(322, 634)(323, 633)(324, 635)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.3242
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 54 e = 324 f = 216
	degree seq :: [ 12^54 ]

E28.3248 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 6})
Quotient :: loop
Aut^+ = S3 x (((C3 x C3) : C3) : C2) (small group id <324, 116>)
Aut   = $<648, 555>$ (small group id <648, 555>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T2 * T1^-1)^6, (T1^-1 * T2 * T1 * T2)^3, T1^-2 * T2 * T1^2 * T2 * T1^3 * T2 * T1^-2 * T2 * T1^-1, T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^2 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, (T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1)^2 ]
Map:: polyhedral non-degenerate
	R = (1, 325, 3, 327)(2, 326, 6, 330)(4, 328, 9, 333)(5, 329, 12, 336)(7, 331, 16, 340)(8, 332, 17, 341)(10, 334, 21, 345)(11, 335, 22, 346)(13, 337, 26, 350)(14, 338, 27, 351)(15, 339, 30, 354)(18, 342, 35, 359)(19, 343, 37, 361)(20, 344, 38, 362)(23, 347, 45, 369)(24, 348, 46, 370)(25, 349, 49, 373)(28, 352, 54, 378)(29, 353, 55, 379)(31, 355, 59, 383)(32, 356, 60, 384)(33, 357, 63, 387)(34, 358, 64, 388)(36, 360, 69, 393)(39, 363, 74, 398)(40, 364, 76, 400)(41, 365, 77, 401)(42, 366, 80, 404)(43, 367, 81, 405)(44, 368, 84, 408)(47, 371, 89, 413)(48, 372, 90, 414)(50, 374, 94, 418)(51, 375, 95, 419)(52, 376, 98, 422)(53, 377, 99, 423)(56, 380, 106, 430)(57, 381, 107, 431)(58, 382, 110, 434)(61, 385, 114, 438)(62, 386, 116, 440)(65, 389, 120, 444)(66, 390, 122, 446)(67, 391, 123, 447)(68, 392, 125, 449)(70, 394, 129, 453)(71, 395, 118, 442)(72, 396, 132, 456)(73, 397, 111, 435)(75, 399, 137, 461)(78, 402, 142, 466)(79, 403, 144, 468)(82, 406, 149, 473)(83, 407, 150, 474)(85, 409, 154, 478)(86, 410, 155, 479)(87, 411, 158, 482)(88, 412, 159, 483)(91, 415, 166, 490)(92, 416, 167, 491)(93, 417, 170, 494)(96, 420, 173, 497)(97, 421, 175, 499)(100, 424, 178, 502)(101, 425, 180, 504)(102, 426, 181, 505)(103, 427, 183, 507)(104, 428, 184, 508)(105, 429, 186, 510)(108, 432, 190, 514)(109, 433, 191, 515)(112, 436, 194, 518)(113, 437, 195, 519)(115, 439, 199, 523)(117, 441, 201, 525)(119, 443, 204, 528)(121, 445, 207, 531)(124, 448, 211, 535)(126, 450, 213, 537)(127, 451, 197, 521)(128, 452, 188, 512)(130, 454, 216, 540)(131, 455, 208, 532)(133, 457, 219, 543)(134, 458, 220, 544)(135, 459, 206, 530)(136, 460, 185, 509)(138, 462, 203, 527)(139, 463, 218, 542)(140, 464, 196, 520)(141, 465, 215, 539)(143, 467, 225, 549)(145, 469, 227, 551)(146, 470, 228, 552)(147, 471, 231, 555)(148, 472, 232, 556)(151, 475, 235, 559)(152, 476, 236, 560)(153, 477, 238, 562)(156, 480, 240, 564)(157, 481, 242, 566)(160, 484, 244, 568)(161, 485, 245, 569)(162, 486, 246, 570)(163, 487, 247, 571)(164, 488, 248, 572)(165, 489, 249, 573)(168, 492, 252, 576)(169, 493, 253, 577)(171, 495, 255, 579)(172, 496, 256, 580)(174, 498, 258, 582)(176, 500, 260, 584)(177, 501, 261, 585)(179, 503, 263, 587)(182, 506, 266, 590)(187, 511, 270, 594)(189, 513, 272, 596)(192, 516, 275, 599)(193, 517, 277, 601)(198, 522, 281, 605)(200, 524, 283, 607)(202, 526, 285, 609)(205, 529, 287, 611)(209, 533, 286, 610)(210, 534, 284, 608)(212, 536, 289, 613)(214, 538, 267, 591)(217, 541, 268, 592)(221, 545, 290, 614)(222, 546, 269, 593)(223, 547, 291, 615)(224, 548, 276, 600)(226, 550, 295, 619)(229, 553, 296, 620)(230, 554, 298, 622)(233, 557, 299, 623)(234, 558, 300, 624)(237, 561, 302, 626)(239, 563, 303, 627)(241, 565, 305, 629)(243, 567, 306, 630)(250, 574, 309, 633)(251, 575, 310, 634)(254, 578, 312, 636)(257, 581, 315, 639)(259, 583, 317, 641)(262, 586, 320, 644)(264, 588, 319, 643)(265, 589, 318, 642)(271, 595, 321, 645)(273, 597, 314, 638)(274, 598, 297, 621)(278, 602, 308, 632)(279, 603, 301, 625)(280, 604, 313, 637)(282, 606, 294, 618)(288, 612, 322, 646)(292, 616, 316, 640)(293, 617, 311, 635)(304, 628, 323, 647)(307, 631, 324, 648)
	L = (1, 326)(2, 329)(3, 331)(4, 325)(5, 335)(6, 337)(7, 339)(8, 327)(9, 343)(10, 328)(11, 334)(12, 347)(13, 349)(14, 330)(15, 353)(16, 355)(17, 357)(18, 332)(19, 360)(20, 333)(21, 364)(22, 366)(23, 368)(24, 336)(25, 372)(26, 374)(27, 376)(28, 338)(29, 342)(30, 380)(31, 382)(32, 340)(33, 386)(34, 341)(35, 390)(36, 392)(37, 394)(38, 396)(39, 344)(40, 399)(41, 345)(42, 403)(43, 346)(44, 407)(45, 409)(46, 411)(47, 348)(48, 352)(49, 415)(50, 417)(51, 350)(52, 421)(53, 351)(54, 425)(55, 427)(56, 429)(57, 354)(58, 433)(59, 435)(60, 422)(61, 356)(62, 439)(63, 441)(64, 443)(65, 358)(66, 445)(67, 359)(68, 363)(69, 450)(70, 452)(71, 361)(72, 455)(73, 362)(74, 458)(75, 460)(76, 462)(77, 464)(78, 365)(79, 467)(80, 469)(81, 471)(82, 367)(83, 371)(84, 475)(85, 477)(86, 369)(87, 481)(88, 370)(89, 485)(90, 487)(91, 489)(92, 373)(93, 493)(94, 388)(95, 482)(96, 375)(97, 498)(98, 500)(99, 501)(100, 377)(101, 503)(102, 378)(103, 474)(104, 379)(105, 468)(106, 511)(107, 513)(108, 381)(109, 385)(110, 490)(111, 517)(112, 383)(113, 384)(114, 521)(115, 389)(116, 524)(117, 479)(118, 387)(119, 527)(120, 529)(121, 473)(122, 532)(123, 502)(124, 391)(125, 488)(126, 476)(127, 393)(128, 538)(129, 539)(130, 395)(131, 541)(132, 496)(133, 397)(134, 486)(135, 398)(136, 402)(137, 492)(138, 545)(139, 400)(140, 547)(141, 401)(142, 506)(143, 406)(144, 432)(145, 550)(146, 404)(147, 554)(148, 405)(149, 448)(150, 558)(151, 451)(152, 408)(153, 561)(154, 423)(155, 555)(156, 410)(157, 565)(158, 567)(159, 436)(160, 412)(161, 459)(162, 413)(163, 549)(164, 414)(165, 461)(166, 574)(167, 575)(168, 416)(169, 420)(170, 559)(171, 418)(172, 419)(173, 431)(174, 424)(175, 583)(176, 552)(177, 453)(178, 586)(179, 466)(180, 440)(181, 568)(182, 426)(183, 577)(184, 591)(185, 428)(186, 588)(187, 570)(188, 430)(189, 590)(190, 597)(191, 598)(192, 434)(193, 551)(194, 596)(195, 603)(196, 437)(197, 604)(198, 438)(199, 572)(200, 593)(201, 608)(202, 442)(203, 556)(204, 602)(205, 562)(206, 444)(207, 600)(208, 612)(209, 446)(210, 447)(211, 566)(212, 449)(213, 589)(214, 454)(215, 563)(216, 573)(217, 457)(218, 456)(219, 578)(220, 615)(221, 616)(222, 463)(223, 617)(224, 465)(225, 536)(226, 618)(227, 483)(228, 520)(229, 470)(230, 621)(231, 526)(232, 495)(233, 472)(234, 509)(235, 625)(236, 533)(237, 480)(238, 514)(239, 478)(240, 491)(241, 484)(242, 522)(243, 542)(244, 631)(245, 499)(246, 623)(247, 626)(248, 515)(249, 632)(250, 531)(251, 544)(252, 534)(253, 635)(254, 494)(255, 634)(256, 638)(257, 497)(258, 507)(259, 540)(260, 642)(261, 637)(262, 619)(263, 543)(264, 504)(265, 505)(266, 622)(267, 629)(268, 508)(269, 510)(270, 519)(271, 512)(272, 627)(273, 530)(274, 624)(275, 636)(276, 516)(277, 643)(278, 518)(279, 525)(280, 535)(281, 639)(282, 523)(283, 641)(284, 630)(285, 633)(286, 528)(287, 644)(288, 620)(289, 640)(290, 537)(291, 628)(292, 546)(293, 548)(294, 553)(295, 576)(296, 560)(297, 557)(298, 581)(299, 595)(300, 606)(301, 587)(302, 592)(303, 610)(304, 564)(305, 571)(306, 594)(307, 614)(308, 569)(309, 580)(310, 601)(311, 613)(312, 611)(313, 579)(314, 584)(315, 647)(316, 582)(317, 605)(318, 609)(319, 585)(320, 648)(321, 599)(322, 607)(323, 646)(324, 645)
	local type(s) :: { ( 6^4 ) }
Outer automorphisms :: reflexible
Dual of E28.3244
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 162 e = 324 f = 108
	degree seq :: [ 4^162 ]

E28.3249 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = S3 x (((C3 x C3) : C3) : C2) (small group id <324, 116>)
Aut   = $<648, 555>$ (small group id <648, 555>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^6, (R * Y2^-3 * Y1)^2, (Y2 * Y1 * Y2^-1 * Y1)^3, (Y3 * Y2^-1)^6, Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^3 * Y1 * Y2^2 * Y1 * Y2^-1, Y2^2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1 * Y2 * Y1, (Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1)^2 ]
Map::
	R = (1, 325, 2, 326)(3, 327, 7, 331)(4, 328, 9, 333)(5, 329, 11, 335)(6, 330, 13, 337)(8, 332, 17, 341)(10, 334, 21, 345)(12, 336, 24, 348)(14, 338, 28, 352)(15, 339, 29, 353)(16, 340, 31, 355)(18, 342, 35, 359)(19, 343, 36, 360)(20, 344, 38, 362)(22, 346, 42, 366)(23, 347, 44, 368)(25, 349, 48, 372)(26, 350, 49, 373)(27, 351, 51, 375)(30, 354, 57, 381)(32, 356, 61, 385)(33, 357, 62, 386)(34, 358, 64, 388)(37, 361, 70, 394)(39, 363, 74, 398)(40, 364, 75, 399)(41, 365, 77, 401)(43, 367, 81, 405)(45, 369, 85, 409)(46, 370, 86, 410)(47, 371, 88, 412)(50, 374, 94, 418)(52, 376, 98, 422)(53, 377, 99, 423)(54, 378, 101, 425)(55, 379, 97, 421)(56, 380, 104, 428)(58, 382, 108, 432)(59, 383, 83, 407)(60, 384, 110, 434)(63, 387, 116, 440)(65, 389, 120, 444)(66, 390, 121, 445)(67, 391, 123, 447)(68, 392, 125, 449)(69, 393, 93, 417)(71, 395, 130, 454)(72, 396, 131, 455)(73, 397, 79, 403)(76, 400, 138, 462)(78, 402, 142, 466)(80, 404, 144, 468)(82, 406, 148, 472)(84, 408, 150, 474)(87, 411, 156, 480)(89, 413, 160, 484)(90, 414, 161, 485)(91, 415, 163, 487)(92, 416, 165, 489)(95, 419, 170, 494)(96, 420, 171, 495)(100, 424, 178, 502)(102, 426, 182, 506)(103, 427, 183, 507)(105, 429, 159, 483)(106, 430, 146, 470)(107, 431, 188, 512)(109, 433, 192, 516)(111, 435, 180, 504)(112, 436, 169, 493)(113, 437, 197, 521)(114, 438, 195, 519)(115, 439, 166, 490)(117, 441, 162, 486)(118, 442, 185, 509)(119, 443, 145, 469)(122, 446, 157, 481)(124, 448, 179, 503)(126, 450, 155, 479)(127, 451, 214, 538)(128, 452, 215, 539)(129, 453, 152, 476)(132, 456, 176, 500)(133, 457, 219, 543)(134, 458, 220, 544)(135, 459, 175, 499)(136, 460, 172, 496)(137, 461, 217, 541)(139, 463, 164, 488)(140, 464, 151, 475)(141, 465, 212, 536)(143, 467, 225, 549)(147, 471, 230, 554)(149, 473, 234, 558)(153, 477, 239, 563)(154, 478, 237, 561)(158, 482, 227, 551)(167, 491, 256, 580)(168, 492, 257, 581)(173, 497, 261, 585)(174, 498, 262, 586)(177, 501, 259, 583)(181, 505, 254, 578)(184, 508, 249, 573)(186, 510, 270, 594)(187, 511, 271, 595)(189, 513, 266, 590)(190, 514, 274, 598)(191, 515, 233, 557)(193, 517, 250, 574)(194, 518, 278, 602)(196, 520, 280, 604)(198, 522, 245, 569)(199, 523, 248, 572)(200, 524, 273, 597)(201, 525, 267, 591)(202, 526, 264, 588)(203, 527, 240, 564)(204, 528, 281, 605)(205, 529, 277, 601)(206, 530, 241, 565)(207, 531, 226, 550)(208, 532, 235, 559)(209, 533, 275, 599)(210, 534, 255, 579)(211, 535, 260, 584)(213, 537, 252, 576)(216, 540, 290, 614)(218, 542, 253, 577)(221, 545, 289, 613)(222, 546, 244, 568)(223, 547, 291, 615)(224, 548, 231, 555)(228, 552, 297, 621)(229, 553, 298, 622)(232, 556, 301, 625)(236, 560, 305, 629)(238, 562, 307, 631)(242, 566, 300, 624)(243, 567, 294, 618)(246, 570, 308, 632)(247, 571, 304, 628)(251, 575, 302, 626)(258, 582, 317, 641)(263, 587, 316, 640)(265, 589, 318, 642)(268, 592, 299, 623)(269, 593, 306, 630)(272, 596, 295, 619)(276, 600, 309, 633)(279, 603, 296, 620)(282, 606, 303, 627)(283, 607, 315, 639)(284, 608, 314, 638)(285, 609, 320, 644)(286, 610, 319, 643)(287, 611, 311, 635)(288, 612, 310, 634)(292, 616, 313, 637)(293, 617, 312, 636)(321, 645, 324, 648)(322, 646, 323, 647)(649, 973, 651, 975, 656, 980, 666, 990, 658, 982, 652, 976)(650, 974, 653, 977, 660, 984, 673, 997, 662, 986, 654, 978)(655, 979, 663, 987, 678, 1002, 706, 1030, 680, 1004, 664, 988)(657, 981, 667, 991, 685, 1009, 719, 1043, 687, 1011, 668, 992)(659, 983, 670, 994, 691, 1015, 730, 1054, 693, 1017, 671, 995)(661, 985, 674, 998, 698, 1022, 743, 1067, 700, 1024, 675, 999)(665, 989, 681, 1005, 711, 1035, 765, 1089, 713, 1037, 682, 1006)(669, 993, 688, 1012, 724, 1048, 787, 1111, 726, 1050, 689, 1013)(672, 996, 694, 1018, 735, 1059, 805, 1129, 737, 1061, 695, 1019)(676, 1000, 701, 1025, 748, 1072, 827, 1151, 750, 1074, 702, 1026)(677, 1001, 703, 1027, 751, 1075, 832, 1156, 753, 1077, 704, 1028)(679, 1003, 707, 1031, 757, 1081, 841, 1165, 759, 1083, 708, 1032)(683, 1007, 714, 1038, 770, 1094, 857, 1181, 772, 1096, 715, 1039)(684, 1008, 716, 1040, 774, 1098, 861, 1185, 775, 1099, 717, 1041)(686, 1010, 720, 1044, 780, 1104, 866, 1190, 781, 1105, 721, 1045)(690, 1014, 727, 1051, 791, 1115, 874, 1198, 793, 1117, 728, 1052)(692, 1016, 731, 1055, 797, 1121, 883, 1207, 799, 1123, 732, 1056)(696, 1020, 738, 1062, 810, 1134, 899, 1223, 812, 1136, 739, 1063)(697, 1021, 740, 1064, 814, 1138, 903, 1227, 815, 1139, 741, 1065)(699, 1023, 744, 1068, 820, 1144, 908, 1232, 821, 1145, 745, 1069)(705, 1029, 754, 1078, 835, 1159, 786, 1110, 837, 1161, 755, 1079)(709, 1033, 760, 1084, 844, 1168, 790, 1114, 846, 1170, 761, 1085)(710, 1034, 762, 1086, 847, 1171, 931, 1255, 848, 1172, 763, 1087)(712, 1036, 766, 1090, 851, 1175, 932, 1256, 852, 1176, 767, 1091)(718, 1042, 776, 1100, 850, 1174, 764, 1088, 849, 1173, 777, 1101)(722, 1046, 782, 1106, 854, 1178, 768, 1092, 853, 1177, 783, 1107)(723, 1047, 784, 1108, 869, 1193, 940, 1264, 870, 1194, 785, 1109)(725, 1049, 788, 1112, 871, 1195, 941, 1265, 872, 1196, 789, 1113)(729, 1053, 794, 1118, 877, 1201, 826, 1150, 879, 1203, 795, 1119)(733, 1057, 800, 1124, 886, 1210, 830, 1154, 888, 1212, 801, 1125)(734, 1058, 802, 1126, 889, 1213, 958, 1282, 890, 1214, 803, 1127)(736, 1060, 806, 1130, 893, 1217, 959, 1283, 894, 1218, 807, 1131)(742, 1066, 816, 1140, 892, 1216, 804, 1128, 891, 1215, 817, 1141)(746, 1070, 822, 1146, 896, 1220, 808, 1132, 895, 1219, 823, 1147)(747, 1071, 824, 1148, 911, 1235, 967, 1291, 912, 1236, 825, 1149)(749, 1073, 828, 1152, 913, 1237, 968, 1292, 914, 1238, 829, 1153)(752, 1076, 833, 1157, 917, 1241, 865, 1189, 779, 1103, 834, 1158)(756, 1080, 838, 1162, 923, 1247, 864, 1188, 778, 1102, 839, 1163)(758, 1082, 842, 1166, 773, 1097, 860, 1184, 927, 1251, 843, 1167)(769, 1093, 855, 1179, 933, 1257, 965, 1289, 934, 1258, 856, 1180)(771, 1095, 858, 1182, 935, 1259, 949, 1273, 936, 1260, 859, 1183)(792, 1116, 875, 1199, 944, 1268, 907, 1231, 819, 1143, 876, 1200)(796, 1120, 880, 1204, 950, 1274, 906, 1230, 818, 1142, 881, 1205)(798, 1122, 884, 1208, 813, 1137, 902, 1226, 954, 1278, 885, 1209)(809, 1133, 897, 1221, 960, 1284, 938, 1262, 961, 1285, 898, 1222)(811, 1135, 900, 1224, 962, 1286, 922, 1246, 963, 1287, 901, 1225)(831, 1155, 915, 1239, 953, 1277, 928, 1252, 867, 1191, 916, 1240)(836, 1160, 920, 1244, 868, 1192, 939, 1263, 969, 1293, 921, 1245)(840, 1164, 924, 1248, 862, 1186, 919, 1243, 945, 1269, 925, 1249)(845, 1169, 929, 1253, 970, 1294, 937, 1261, 863, 1187, 930, 1254)(873, 1197, 942, 1266, 926, 1250, 955, 1279, 909, 1233, 943, 1267)(878, 1202, 947, 1271, 910, 1234, 966, 1290, 971, 1295, 948, 1272)(882, 1206, 951, 1275, 904, 1228, 946, 1270, 918, 1242, 952, 1276)(887, 1211, 956, 1280, 972, 1296, 964, 1288, 905, 1229, 957, 1281)
	L = (1, 650)(2, 649)(3, 655)(4, 657)(5, 659)(6, 661)(7, 651)(8, 665)(9, 652)(10, 669)(11, 653)(12, 672)(13, 654)(14, 676)(15, 677)(16, 679)(17, 656)(18, 683)(19, 684)(20, 686)(21, 658)(22, 690)(23, 692)(24, 660)(25, 696)(26, 697)(27, 699)(28, 662)(29, 663)(30, 705)(31, 664)(32, 709)(33, 710)(34, 712)(35, 666)(36, 667)(37, 718)(38, 668)(39, 722)(40, 723)(41, 725)(42, 670)(43, 729)(44, 671)(45, 733)(46, 734)(47, 736)(48, 673)(49, 674)(50, 742)(51, 675)(52, 746)(53, 747)(54, 749)(55, 745)(56, 752)(57, 678)(58, 756)(59, 731)(60, 758)(61, 680)(62, 681)(63, 764)(64, 682)(65, 768)(66, 769)(67, 771)(68, 773)(69, 741)(70, 685)(71, 778)(72, 779)(73, 727)(74, 687)(75, 688)(76, 786)(77, 689)(78, 790)(79, 721)(80, 792)(81, 691)(82, 796)(83, 707)(84, 798)(85, 693)(86, 694)(87, 804)(88, 695)(89, 808)(90, 809)(91, 811)(92, 813)(93, 717)(94, 698)(95, 818)(96, 819)(97, 703)(98, 700)(99, 701)(100, 826)(101, 702)(102, 830)(103, 831)(104, 704)(105, 807)(106, 794)(107, 836)(108, 706)(109, 840)(110, 708)(111, 828)(112, 817)(113, 845)(114, 843)(115, 814)(116, 711)(117, 810)(118, 833)(119, 793)(120, 713)(121, 714)(122, 805)(123, 715)(124, 827)(125, 716)(126, 803)(127, 862)(128, 863)(129, 800)(130, 719)(131, 720)(132, 824)(133, 867)(134, 868)(135, 823)(136, 820)(137, 865)(138, 724)(139, 812)(140, 799)(141, 860)(142, 726)(143, 873)(144, 728)(145, 767)(146, 754)(147, 878)(148, 730)(149, 882)(150, 732)(151, 788)(152, 777)(153, 887)(154, 885)(155, 774)(156, 735)(157, 770)(158, 875)(159, 753)(160, 737)(161, 738)(162, 765)(163, 739)(164, 787)(165, 740)(166, 763)(167, 904)(168, 905)(169, 760)(170, 743)(171, 744)(172, 784)(173, 909)(174, 910)(175, 783)(176, 780)(177, 907)(178, 748)(179, 772)(180, 759)(181, 902)(182, 750)(183, 751)(184, 897)(185, 766)(186, 918)(187, 919)(188, 755)(189, 914)(190, 922)(191, 881)(192, 757)(193, 898)(194, 926)(195, 762)(196, 928)(197, 761)(198, 893)(199, 896)(200, 921)(201, 915)(202, 912)(203, 888)(204, 929)(205, 925)(206, 889)(207, 874)(208, 883)(209, 923)(210, 903)(211, 908)(212, 789)(213, 900)(214, 775)(215, 776)(216, 938)(217, 785)(218, 901)(219, 781)(220, 782)(221, 937)(222, 892)(223, 939)(224, 879)(225, 791)(226, 855)(227, 806)(228, 945)(229, 946)(230, 795)(231, 872)(232, 949)(233, 839)(234, 797)(235, 856)(236, 953)(237, 802)(238, 955)(239, 801)(240, 851)(241, 854)(242, 948)(243, 942)(244, 870)(245, 846)(246, 956)(247, 952)(248, 847)(249, 832)(250, 841)(251, 950)(252, 861)(253, 866)(254, 829)(255, 858)(256, 815)(257, 816)(258, 965)(259, 825)(260, 859)(261, 821)(262, 822)(263, 964)(264, 850)(265, 966)(266, 837)(267, 849)(268, 947)(269, 954)(270, 834)(271, 835)(272, 943)(273, 848)(274, 838)(275, 857)(276, 957)(277, 853)(278, 842)(279, 944)(280, 844)(281, 852)(282, 951)(283, 963)(284, 962)(285, 968)(286, 967)(287, 959)(288, 958)(289, 869)(290, 864)(291, 871)(292, 961)(293, 960)(294, 891)(295, 920)(296, 927)(297, 876)(298, 877)(299, 916)(300, 890)(301, 880)(302, 899)(303, 930)(304, 895)(305, 884)(306, 917)(307, 886)(308, 894)(309, 924)(310, 936)(311, 935)(312, 941)(313, 940)(314, 932)(315, 931)(316, 911)(317, 906)(318, 913)(319, 934)(320, 933)(321, 972)(322, 971)(323, 970)(324, 969)(325, 973)(326, 974)(327, 975)(328, 976)(329, 977)(330, 978)(331, 979)(332, 980)(333, 981)(334, 982)(335, 983)(336, 984)(337, 985)(338, 986)(339, 987)(340, 988)(341, 989)(342, 990)(343, 991)(344, 992)(345, 993)(346, 994)(347, 995)(348, 996)(349, 997)(350, 998)(351, 999)(352, 1000)(353, 1001)(354, 1002)(355, 1003)(356, 1004)(357, 1005)(358, 1006)(359, 1007)(360, 1008)(361, 1009)(362, 1010)(363, 1011)(364, 1012)(365, 1013)(366, 1014)(367, 1015)(368, 1016)(369, 1017)(370, 1018)(371, 1019)(372, 1020)(373, 1021)(374, 1022)(375, 1023)(376, 1024)(377, 1025)(378, 1026)(379, 1027)(380, 1028)(381, 1029)(382, 1030)(383, 1031)(384, 1032)(385, 1033)(386, 1034)(387, 1035)(388, 1036)(389, 1037)(390, 1038)(391, 1039)(392, 1040)(393, 1041)(394, 1042)(395, 1043)(396, 1044)(397, 1045)(398, 1046)(399, 1047)(400, 1048)(401, 1049)(402, 1050)(403, 1051)(404, 1052)(405, 1053)(406, 1054)(407, 1055)(408, 1056)(409, 1057)(410, 1058)(411, 1059)(412, 1060)(413, 1061)(414, 1062)(415, 1063)(416, 1064)(417, 1065)(418, 1066)(419, 1067)(420, 1068)(421, 1069)(422, 1070)(423, 1071)(424, 1072)(425, 1073)(426, 1074)(427, 1075)(428, 1076)(429, 1077)(430, 1078)(431, 1079)(432, 1080)(433, 1081)(434, 1082)(435, 1083)(436, 1084)(437, 1085)(438, 1086)(439, 1087)(440, 1088)(441, 1089)(442, 1090)(443, 1091)(444, 1092)(445, 1093)(446, 1094)(447, 1095)(448, 1096)(449, 1097)(450, 1098)(451, 1099)(452, 1100)(453, 1101)(454, 1102)(455, 1103)(456, 1104)(457, 1105)(458, 1106)(459, 1107)(460, 1108)(461, 1109)(462, 1110)(463, 1111)(464, 1112)(465, 1113)(466, 1114)(467, 1115)(468, 1116)(469, 1117)(470, 1118)(471, 1119)(472, 1120)(473, 1121)(474, 1122)(475, 1123)(476, 1124)(477, 1125)(478, 1126)(479, 1127)(480, 1128)(481, 1129)(482, 1130)(483, 1131)(484, 1132)(485, 1133)(486, 1134)(487, 1135)(488, 1136)(489, 1137)(490, 1138)(491, 1139)(492, 1140)(493, 1141)(494, 1142)(495, 1143)(496, 1144)(497, 1145)(498, 1146)(499, 1147)(500, 1148)(501, 1149)(502, 1150)(503, 1151)(504, 1152)(505, 1153)(506, 1154)(507, 1155)(508, 1156)(509, 1157)(510, 1158)(511, 1159)(512, 1160)(513, 1161)(514, 1162)(515, 1163)(516, 1164)(517, 1165)(518, 1166)(519, 1167)(520, 1168)(521, 1169)(522, 1170)(523, 1171)(524, 1172)(525, 1173)(526, 1174)(527, 1175)(528, 1176)(529, 1177)(530, 1178)(531, 1179)(532, 1180)(533, 1181)(534, 1182)(535, 1183)(536, 1184)(537, 1185)(538, 1186)(539, 1187)(540, 1188)(541, 1189)(542, 1190)(543, 1191)(544, 1192)(545, 1193)(546, 1194)(547, 1195)(548, 1196)(549, 1197)(550, 1198)(551, 1199)(552, 1200)(553, 1201)(554, 1202)(555, 1203)(556, 1204)(557, 1205)(558, 1206)(559, 1207)(560, 1208)(561, 1209)(562, 1210)(563, 1211)(564, 1212)(565, 1213)(566, 1214)(567, 1215)(568, 1216)(569, 1217)(570, 1218)(571, 1219)(572, 1220)(573, 1221)(574, 1222)(575, 1223)(576, 1224)(577, 1225)(578, 1226)(579, 1227)(580, 1228)(581, 1229)(582, 1230)(583, 1231)(584, 1232)(585, 1233)(586, 1234)(587, 1235)(588, 1236)(589, 1237)(590, 1238)(591, 1239)(592, 1240)(593, 1241)(594, 1242)(595, 1243)(596, 1244)(597, 1245)(598, 1246)(599, 1247)(600, 1248)(601, 1249)(602, 1250)(603, 1251)(604, 1252)(605, 1253)(606, 1254)(607, 1255)(608, 1256)(609, 1257)(610, 1258)(611, 1259)(612, 1260)(613, 1261)(614, 1262)(615, 1263)(616, 1264)(617, 1265)(618, 1266)(619, 1267)(620, 1268)(621, 1269)(622, 1270)(623, 1271)(624, 1272)(625, 1273)(626, 1274)(627, 1275)(628, 1276)(629, 1277)(630, 1278)(631, 1279)(632, 1280)(633, 1281)(634, 1282)(635, 1283)(636, 1284)(637, 1285)(638, 1286)(639, 1287)(640, 1288)(641, 1289)(642, 1290)(643, 1291)(644, 1292)(645, 1293)(646, 1294)(647, 1295)(648, 1296)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3256
Graph:: bipartite
	v = 216 e = 648 f = 378
	degree seq :: [ 4^162, 12^54 ]

E28.3250 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = C3 x ((((C3 x C3) : C3) : C2) : C2) (small group id <324, 117>)
Aut   = $<648, 555>$ (small group id <648, 555>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, Y2^6, (R * Y2 * Y3^-1)^2, R * Y2^-1 * R * Y1 * Y2^-1 * Y1, (Y2 * R)^6, Y1 * Y2^2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^2, (Y3 * Y2^-1)^6, Y2^2 * R * Y2^-1 * R * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1 * Y2 * Y1, Y2^-3 * R * Y2 * R * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-3 * Y1, Y2^-2 * R * Y2^-1 * R * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^3 * Y1 * Y2^-1 ]
Map::
	R = (1, 325, 2, 326)(3, 327, 7, 331)(4, 328, 9, 333)(5, 329, 11, 335)(6, 330, 13, 337)(8, 332, 17, 341)(10, 334, 21, 345)(12, 336, 24, 348)(14, 338, 28, 352)(15, 339, 29, 353)(16, 340, 31, 355)(18, 342, 35, 359)(19, 343, 36, 360)(20, 344, 38, 362)(22, 346, 42, 366)(23, 347, 44, 368)(25, 349, 48, 372)(26, 350, 49, 373)(27, 351, 51, 375)(30, 354, 57, 381)(32, 356, 61, 385)(33, 357, 62, 386)(34, 358, 64, 388)(37, 361, 70, 394)(39, 363, 74, 398)(40, 364, 75, 399)(41, 365, 77, 401)(43, 367, 81, 405)(45, 369, 85, 409)(46, 370, 86, 410)(47, 371, 88, 412)(50, 374, 94, 418)(52, 376, 98, 422)(53, 377, 99, 423)(54, 378, 101, 425)(55, 379, 97, 421)(56, 380, 104, 428)(58, 382, 108, 432)(59, 383, 83, 407)(60, 384, 110, 434)(63, 387, 87, 411)(65, 389, 100, 424)(66, 390, 119, 443)(67, 391, 121, 445)(68, 392, 123, 447)(69, 393, 93, 417)(71, 395, 127, 451)(72, 396, 128, 452)(73, 397, 79, 403)(76, 400, 89, 413)(78, 402, 102, 426)(80, 404, 138, 462)(82, 406, 142, 466)(84, 408, 144, 468)(90, 414, 153, 477)(91, 415, 155, 479)(92, 416, 157, 481)(95, 419, 161, 485)(96, 420, 162, 486)(103, 427, 171, 495)(105, 429, 175, 499)(106, 430, 140, 464)(107, 431, 177, 501)(109, 433, 180, 504)(111, 435, 169, 493)(112, 436, 184, 508)(113, 437, 186, 510)(114, 438, 183, 507)(115, 439, 158, 482)(116, 440, 189, 513)(117, 441, 173, 497)(118, 442, 191, 515)(120, 444, 176, 500)(122, 446, 185, 509)(124, 448, 149, 473)(125, 449, 201, 525)(126, 450, 202, 526)(129, 453, 206, 530)(130, 454, 208, 532)(131, 455, 165, 489)(132, 456, 209, 533)(133, 457, 205, 529)(134, 458, 212, 536)(135, 459, 145, 469)(136, 460, 198, 522)(137, 461, 215, 539)(139, 463, 219, 543)(141, 465, 221, 545)(143, 467, 224, 548)(146, 470, 228, 552)(147, 471, 230, 554)(148, 472, 227, 551)(150, 474, 233, 557)(151, 475, 217, 541)(152, 476, 235, 559)(154, 478, 220, 544)(156, 480, 229, 553)(159, 483, 245, 569)(160, 484, 246, 570)(163, 487, 250, 574)(164, 488, 252, 576)(166, 490, 253, 577)(167, 491, 249, 573)(168, 492, 256, 580)(170, 494, 242, 566)(172, 496, 216, 540)(174, 498, 239, 563)(178, 502, 263, 587)(179, 503, 223, 547)(181, 505, 238, 562)(182, 506, 265, 589)(187, 511, 270, 594)(188, 512, 271, 595)(190, 514, 273, 597)(192, 516, 268, 592)(193, 517, 237, 561)(194, 518, 225, 549)(195, 519, 218, 542)(196, 520, 244, 568)(197, 521, 241, 565)(199, 523, 272, 596)(200, 524, 240, 564)(203, 527, 247, 571)(204, 528, 275, 599)(207, 531, 251, 575)(210, 534, 262, 586)(211, 535, 282, 606)(213, 537, 283, 607)(214, 538, 266, 590)(222, 546, 288, 612)(226, 550, 290, 614)(231, 555, 295, 619)(232, 556, 296, 620)(234, 558, 298, 622)(236, 560, 293, 617)(243, 567, 297, 621)(248, 572, 300, 624)(254, 578, 287, 611)(255, 579, 307, 631)(257, 581, 308, 632)(258, 582, 291, 615)(259, 583, 294, 618)(260, 584, 285, 609)(261, 585, 304, 628)(264, 588, 305, 629)(267, 591, 303, 627)(269, 593, 284, 608)(274, 598, 302, 626)(276, 600, 306, 630)(277, 601, 299, 623)(278, 602, 292, 616)(279, 603, 286, 610)(280, 604, 289, 613)(281, 605, 301, 625)(309, 633, 323, 647)(310, 634, 318, 642)(311, 635, 322, 646)(312, 636, 320, 644)(313, 637, 321, 645)(314, 638, 319, 643)(315, 639, 317, 641)(316, 640, 324, 648)(649, 973, 651, 975, 656, 980, 666, 990, 658, 982, 652, 976)(650, 974, 653, 977, 660, 984, 673, 997, 662, 986, 654, 978)(655, 979, 663, 987, 678, 1002, 706, 1030, 680, 1004, 664, 988)(657, 981, 667, 991, 685, 1009, 719, 1043, 687, 1011, 668, 992)(659, 983, 670, 994, 691, 1015, 730, 1054, 693, 1017, 671, 995)(661, 985, 674, 998, 698, 1022, 743, 1067, 700, 1024, 675, 999)(665, 989, 681, 1005, 711, 1035, 764, 1088, 713, 1037, 682, 1006)(669, 993, 688, 1012, 724, 1048, 782, 1106, 726, 1050, 689, 1013)(672, 996, 694, 1018, 735, 1059, 798, 1122, 737, 1061, 695, 1019)(676, 1000, 701, 1025, 748, 1072, 816, 1140, 750, 1074, 702, 1026)(677, 1001, 703, 1027, 751, 1075, 820, 1144, 753, 1077, 704, 1028)(679, 1003, 707, 1031, 757, 1081, 829, 1153, 759, 1083, 708, 1032)(683, 1007, 714, 1038, 768, 1092, 843, 1167, 770, 1094, 715, 1039)(684, 1008, 716, 1040, 772, 1096, 848, 1172, 773, 1097, 717, 1041)(686, 1010, 720, 1044, 777, 1101, 855, 1179, 778, 1102, 721, 1045)(690, 1014, 727, 1051, 785, 1109, 864, 1188, 787, 1111, 728, 1052)(692, 1016, 731, 1055, 791, 1115, 873, 1197, 793, 1117, 732, 1056)(696, 1020, 738, 1062, 802, 1126, 887, 1211, 804, 1128, 739, 1063)(697, 1021, 740, 1064, 806, 1130, 892, 1216, 807, 1131, 741, 1065)(699, 1023, 744, 1068, 811, 1135, 899, 1223, 812, 1136, 745, 1069)(705, 1029, 754, 1078, 824, 1148, 774, 1098, 718, 1042, 755, 1079)(709, 1033, 760, 1084, 833, 1157, 779, 1103, 722, 1046, 761, 1085)(710, 1034, 762, 1086, 835, 1159, 898, 1222, 836, 1160, 763, 1087)(712, 1036, 765, 1089, 838, 1162, 922, 1246, 840, 1164, 766, 1090)(723, 1047, 780, 1104, 858, 1182, 929, 1253, 859, 1183, 781, 1105)(725, 1049, 783, 1107, 861, 1185, 867, 1191, 862, 1186, 784, 1108)(729, 1053, 788, 1112, 868, 1192, 808, 1132, 742, 1066, 789, 1113)(733, 1057, 794, 1118, 877, 1201, 813, 1137, 746, 1070, 795, 1119)(734, 1058, 796, 1120, 879, 1203, 854, 1178, 880, 1204, 797, 1121)(736, 1060, 799, 1123, 882, 1206, 947, 1271, 884, 1208, 800, 1124)(747, 1071, 814, 1138, 902, 1226, 954, 1278, 903, 1227, 815, 1139)(749, 1073, 817, 1141, 905, 1229, 823, 1147, 906, 1230, 818, 1142)(752, 1076, 821, 1145, 908, 1232, 853, 1177, 776, 1100, 822, 1146)(756, 1080, 826, 1150, 891, 1215, 805, 1129, 890, 1214, 827, 1151)(758, 1082, 830, 1154, 896, 1220, 809, 1133, 895, 1219, 831, 1155)(767, 1091, 841, 1165, 883, 1207, 948, 1272, 924, 1248, 842, 1166)(769, 1093, 844, 1168, 925, 1249, 936, 1260, 901, 1225, 845, 1169)(771, 1095, 846, 1170, 871, 1195, 790, 1114, 870, 1194, 847, 1171)(775, 1099, 851, 1175, 875, 1199, 792, 1116, 874, 1198, 852, 1176)(786, 1110, 865, 1189, 933, 1257, 897, 1221, 810, 1134, 866, 1190)(801, 1125, 885, 1209, 839, 1163, 923, 1247, 949, 1273, 886, 1210)(803, 1127, 888, 1212, 950, 1274, 911, 1235, 857, 1181, 889, 1213)(819, 1143, 881, 1205, 945, 1269, 912, 1236, 828, 1152, 907, 1231)(825, 1149, 909, 1233, 957, 1281, 931, 1255, 958, 1282, 910, 1234)(832, 1156, 914, 1238, 959, 1283, 930, 1254, 960, 1284, 915, 1239)(834, 1158, 916, 1240, 961, 1285, 919, 1243, 962, 1286, 917, 1241)(837, 1161, 920, 1244, 937, 1261, 872, 1196, 932, 1256, 863, 1187)(849, 1173, 926, 1250, 938, 1262, 904, 1228, 856, 1180, 927, 1251)(850, 1174, 928, 1252, 964, 1288, 921, 1245, 963, 1287, 918, 1242)(860, 1184, 900, 1224, 952, 1276, 893, 1217, 951, 1275, 913, 1237)(869, 1193, 934, 1258, 965, 1289, 956, 1280, 966, 1290, 935, 1259)(876, 1200, 939, 1263, 967, 1291, 955, 1279, 968, 1292, 940, 1264)(878, 1202, 941, 1265, 969, 1293, 944, 1268, 970, 1294, 942, 1266)(894, 1218, 953, 1277, 972, 1296, 946, 1270, 971, 1295, 943, 1267)
	L = (1, 650)(2, 649)(3, 655)(4, 657)(5, 659)(6, 661)(7, 651)(8, 665)(9, 652)(10, 669)(11, 653)(12, 672)(13, 654)(14, 676)(15, 677)(16, 679)(17, 656)(18, 683)(19, 684)(20, 686)(21, 658)(22, 690)(23, 692)(24, 660)(25, 696)(26, 697)(27, 699)(28, 662)(29, 663)(30, 705)(31, 664)(32, 709)(33, 710)(34, 712)(35, 666)(36, 667)(37, 718)(38, 668)(39, 722)(40, 723)(41, 725)(42, 670)(43, 729)(44, 671)(45, 733)(46, 734)(47, 736)(48, 673)(49, 674)(50, 742)(51, 675)(52, 746)(53, 747)(54, 749)(55, 745)(56, 752)(57, 678)(58, 756)(59, 731)(60, 758)(61, 680)(62, 681)(63, 735)(64, 682)(65, 748)(66, 767)(67, 769)(68, 771)(69, 741)(70, 685)(71, 775)(72, 776)(73, 727)(74, 687)(75, 688)(76, 737)(77, 689)(78, 750)(79, 721)(80, 786)(81, 691)(82, 790)(83, 707)(84, 792)(85, 693)(86, 694)(87, 711)(88, 695)(89, 724)(90, 801)(91, 803)(92, 805)(93, 717)(94, 698)(95, 809)(96, 810)(97, 703)(98, 700)(99, 701)(100, 713)(101, 702)(102, 726)(103, 819)(104, 704)(105, 823)(106, 788)(107, 825)(108, 706)(109, 828)(110, 708)(111, 817)(112, 832)(113, 834)(114, 831)(115, 806)(116, 837)(117, 821)(118, 839)(119, 714)(120, 824)(121, 715)(122, 833)(123, 716)(124, 797)(125, 849)(126, 850)(127, 719)(128, 720)(129, 854)(130, 856)(131, 813)(132, 857)(133, 853)(134, 860)(135, 793)(136, 846)(137, 863)(138, 728)(139, 867)(140, 754)(141, 869)(142, 730)(143, 872)(144, 732)(145, 783)(146, 876)(147, 878)(148, 875)(149, 772)(150, 881)(151, 865)(152, 883)(153, 738)(154, 868)(155, 739)(156, 877)(157, 740)(158, 763)(159, 893)(160, 894)(161, 743)(162, 744)(163, 898)(164, 900)(165, 779)(166, 901)(167, 897)(168, 904)(169, 759)(170, 890)(171, 751)(172, 864)(173, 765)(174, 887)(175, 753)(176, 768)(177, 755)(178, 911)(179, 871)(180, 757)(181, 886)(182, 913)(183, 762)(184, 760)(185, 770)(186, 761)(187, 918)(188, 919)(189, 764)(190, 921)(191, 766)(192, 916)(193, 885)(194, 873)(195, 866)(196, 892)(197, 889)(198, 784)(199, 920)(200, 888)(201, 773)(202, 774)(203, 895)(204, 923)(205, 781)(206, 777)(207, 899)(208, 778)(209, 780)(210, 910)(211, 930)(212, 782)(213, 931)(214, 914)(215, 785)(216, 820)(217, 799)(218, 843)(219, 787)(220, 802)(221, 789)(222, 936)(223, 827)(224, 791)(225, 842)(226, 938)(227, 796)(228, 794)(229, 804)(230, 795)(231, 943)(232, 944)(233, 798)(234, 946)(235, 800)(236, 941)(237, 841)(238, 829)(239, 822)(240, 848)(241, 845)(242, 818)(243, 945)(244, 844)(245, 807)(246, 808)(247, 851)(248, 948)(249, 815)(250, 811)(251, 855)(252, 812)(253, 814)(254, 935)(255, 955)(256, 816)(257, 956)(258, 939)(259, 942)(260, 933)(261, 952)(262, 858)(263, 826)(264, 953)(265, 830)(266, 862)(267, 951)(268, 840)(269, 932)(270, 835)(271, 836)(272, 847)(273, 838)(274, 950)(275, 852)(276, 954)(277, 947)(278, 940)(279, 934)(280, 937)(281, 949)(282, 859)(283, 861)(284, 917)(285, 908)(286, 927)(287, 902)(288, 870)(289, 928)(290, 874)(291, 906)(292, 926)(293, 884)(294, 907)(295, 879)(296, 880)(297, 891)(298, 882)(299, 925)(300, 896)(301, 929)(302, 922)(303, 915)(304, 909)(305, 912)(306, 924)(307, 903)(308, 905)(309, 971)(310, 966)(311, 970)(312, 968)(313, 969)(314, 967)(315, 965)(316, 972)(317, 963)(318, 958)(319, 962)(320, 960)(321, 961)(322, 959)(323, 957)(324, 964)(325, 973)(326, 974)(327, 975)(328, 976)(329, 977)(330, 978)(331, 979)(332, 980)(333, 981)(334, 982)(335, 983)(336, 984)(337, 985)(338, 986)(339, 987)(340, 988)(341, 989)(342, 990)(343, 991)(344, 992)(345, 993)(346, 994)(347, 995)(348, 996)(349, 997)(350, 998)(351, 999)(352, 1000)(353, 1001)(354, 1002)(355, 1003)(356, 1004)(357, 1005)(358, 1006)(359, 1007)(360, 1008)(361, 1009)(362, 1010)(363, 1011)(364, 1012)(365, 1013)(366, 1014)(367, 1015)(368, 1016)(369, 1017)(370, 1018)(371, 1019)(372, 1020)(373, 1021)(374, 1022)(375, 1023)(376, 1024)(377, 1025)(378, 1026)(379, 1027)(380, 1028)(381, 1029)(382, 1030)(383, 1031)(384, 1032)(385, 1033)(386, 1034)(387, 1035)(388, 1036)(389, 1037)(390, 1038)(391, 1039)(392, 1040)(393, 1041)(394, 1042)(395, 1043)(396, 1044)(397, 1045)(398, 1046)(399, 1047)(400, 1048)(401, 1049)(402, 1050)(403, 1051)(404, 1052)(405, 1053)(406, 1054)(407, 1055)(408, 1056)(409, 1057)(410, 1058)(411, 1059)(412, 1060)(413, 1061)(414, 1062)(415, 1063)(416, 1064)(417, 1065)(418, 1066)(419, 1067)(420, 1068)(421, 1069)(422, 1070)(423, 1071)(424, 1072)(425, 1073)(426, 1074)(427, 1075)(428, 1076)(429, 1077)(430, 1078)(431, 1079)(432, 1080)(433, 1081)(434, 1082)(435, 1083)(436, 1084)(437, 1085)(438, 1086)(439, 1087)(440, 1088)(441, 1089)(442, 1090)(443, 1091)(444, 1092)(445, 1093)(446, 1094)(447, 1095)(448, 1096)(449, 1097)(450, 1098)(451, 1099)(452, 1100)(453, 1101)(454, 1102)(455, 1103)(456, 1104)(457, 1105)(458, 1106)(459, 1107)(460, 1108)(461, 1109)(462, 1110)(463, 1111)(464, 1112)(465, 1113)(466, 1114)(467, 1115)(468, 1116)(469, 1117)(470, 1118)(471, 1119)(472, 1120)(473, 1121)(474, 1122)(475, 1123)(476, 1124)(477, 1125)(478, 1126)(479, 1127)(480, 1128)(481, 1129)(482, 1130)(483, 1131)(484, 1132)(485, 1133)(486, 1134)(487, 1135)(488, 1136)(489, 1137)(490, 1138)(491, 1139)(492, 1140)(493, 1141)(494, 1142)(495, 1143)(496, 1144)(497, 1145)(498, 1146)(499, 1147)(500, 1148)(501, 1149)(502, 1150)(503, 1151)(504, 1152)(505, 1153)(506, 1154)(507, 1155)(508, 1156)(509, 1157)(510, 1158)(511, 1159)(512, 1160)(513, 1161)(514, 1162)(515, 1163)(516, 1164)(517, 1165)(518, 1166)(519, 1167)(520, 1168)(521, 1169)(522, 1170)(523, 1171)(524, 1172)(525, 1173)(526, 1174)(527, 1175)(528, 1176)(529, 1177)(530, 1178)(531, 1179)(532, 1180)(533, 1181)(534, 1182)(535, 1183)(536, 1184)(537, 1185)(538, 1186)(539, 1187)(540, 1188)(541, 1189)(542, 1190)(543, 1191)(544, 1192)(545, 1193)(546, 1194)(547, 1195)(548, 1196)(549, 1197)(550, 1198)(551, 1199)(552, 1200)(553, 1201)(554, 1202)(555, 1203)(556, 1204)(557, 1205)(558, 1206)(559, 1207)(560, 1208)(561, 1209)(562, 1210)(563, 1211)(564, 1212)(565, 1213)(566, 1214)(567, 1215)(568, 1216)(569, 1217)(570, 1218)(571, 1219)(572, 1220)(573, 1221)(574, 1222)(575, 1223)(576, 1224)(577, 1225)(578, 1226)(579, 1227)(580, 1228)(581, 1229)(582, 1230)(583, 1231)(584, 1232)(585, 1233)(586, 1234)(587, 1235)(588, 1236)(589, 1237)(590, 1238)(591, 1239)(592, 1240)(593, 1241)(594, 1242)(595, 1243)(596, 1244)(597, 1245)(598, 1246)(599, 1247)(600, 1248)(601, 1249)(602, 1250)(603, 1251)(604, 1252)(605, 1253)(606, 1254)(607, 1255)(608, 1256)(609, 1257)(610, 1258)(611, 1259)(612, 1260)(613, 1261)(614, 1262)(615, 1263)(616, 1264)(617, 1265)(618, 1266)(619, 1267)(620, 1268)(621, 1269)(622, 1270)(623, 1271)(624, 1272)(625, 1273)(626, 1274)(627, 1275)(628, 1276)(629, 1277)(630, 1278)(631, 1279)(632, 1280)(633, 1281)(634, 1282)(635, 1283)(636, 1284)(637, 1285)(638, 1286)(639, 1287)(640, 1288)(641, 1289)(642, 1290)(643, 1291)(644, 1292)(645, 1293)(646, 1294)(647, 1295)(648, 1296)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3254
Graph:: bipartite
	v = 216 e = 648 f = 378
	degree seq :: [ 4^162, 12^54 ]

E28.3251 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = S3 x (((C3 x C3) : C3) : C2) (small group id <324, 116>)
Aut   = $<648, 555>$ (small group id <648, 555>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^6, (R * Y2^2 * Y1)^2, Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2^-1, (Y3 * Y2^-1)^6, (Y2 * Y1 * Y2^-1 * Y1)^3, (Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1)^2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-3 * Y1 * Y2^-3 * Y1 * Y2 * Y1 ]
Map::
	R = (1, 325, 2, 326)(3, 327, 7, 331)(4, 328, 9, 333)(5, 329, 11, 335)(6, 330, 13, 337)(8, 332, 17, 341)(10, 334, 21, 345)(12, 336, 24, 348)(14, 338, 28, 352)(15, 339, 29, 353)(16, 340, 31, 355)(18, 342, 35, 359)(19, 343, 36, 360)(20, 344, 38, 362)(22, 346, 42, 366)(23, 347, 44, 368)(25, 349, 48, 372)(26, 350, 49, 373)(27, 351, 51, 375)(30, 354, 57, 381)(32, 356, 61, 385)(33, 357, 62, 386)(34, 358, 64, 388)(37, 361, 70, 394)(39, 363, 74, 398)(40, 364, 75, 399)(41, 365, 77, 401)(43, 367, 81, 405)(45, 369, 85, 409)(46, 370, 86, 410)(47, 371, 88, 412)(50, 374, 94, 418)(52, 376, 98, 422)(53, 377, 99, 423)(54, 378, 101, 425)(55, 379, 97, 421)(56, 380, 104, 428)(58, 382, 108, 432)(59, 383, 83, 407)(60, 384, 110, 434)(63, 387, 87, 411)(65, 389, 100, 424)(66, 390, 119, 443)(67, 391, 121, 445)(68, 392, 123, 447)(69, 393, 93, 417)(71, 395, 127, 451)(72, 396, 128, 452)(73, 397, 79, 403)(76, 400, 89, 413)(78, 402, 102, 426)(80, 404, 138, 462)(82, 406, 142, 466)(84, 408, 144, 468)(90, 414, 153, 477)(91, 415, 155, 479)(92, 416, 157, 481)(95, 419, 161, 485)(96, 420, 162, 486)(103, 427, 171, 495)(105, 429, 152, 476)(106, 430, 175, 499)(107, 431, 177, 501)(109, 433, 180, 504)(111, 435, 184, 508)(112, 436, 160, 484)(113, 437, 186, 510)(114, 438, 183, 507)(115, 439, 188, 512)(116, 440, 190, 514)(117, 441, 173, 497)(118, 442, 139, 463)(120, 444, 176, 500)(122, 446, 185, 509)(124, 448, 199, 523)(125, 449, 201, 525)(126, 450, 146, 470)(129, 453, 166, 490)(130, 454, 207, 531)(131, 455, 208, 532)(132, 456, 163, 487)(133, 457, 205, 529)(134, 458, 211, 535)(135, 459, 212, 536)(136, 460, 198, 522)(137, 461, 215, 539)(140, 464, 219, 543)(141, 465, 221, 545)(143, 467, 224, 548)(145, 469, 228, 552)(147, 471, 230, 554)(148, 472, 227, 551)(149, 473, 232, 556)(150, 474, 234, 558)(151, 475, 217, 541)(154, 478, 220, 544)(156, 480, 229, 553)(158, 482, 243, 567)(159, 483, 245, 569)(164, 488, 251, 575)(165, 489, 252, 576)(167, 491, 249, 573)(168, 492, 255, 579)(169, 493, 256, 580)(170, 494, 242, 566)(172, 496, 237, 561)(174, 498, 261, 585)(178, 502, 266, 590)(179, 503, 246, 570)(181, 505, 244, 568)(182, 506, 239, 563)(187, 511, 270, 594)(189, 513, 265, 589)(191, 515, 274, 598)(192, 516, 275, 599)(193, 517, 216, 540)(194, 518, 240, 564)(195, 519, 226, 550)(196, 520, 238, 562)(197, 521, 250, 574)(200, 524, 225, 549)(202, 526, 223, 547)(203, 527, 272, 596)(204, 528, 273, 597)(206, 530, 241, 565)(209, 533, 281, 605)(210, 534, 263, 587)(213, 537, 268, 592)(214, 538, 283, 607)(218, 542, 286, 610)(222, 546, 291, 615)(231, 555, 295, 619)(233, 557, 290, 614)(235, 559, 299, 623)(236, 560, 300, 624)(247, 571, 297, 621)(248, 572, 298, 622)(253, 577, 306, 630)(254, 578, 288, 612)(257, 581, 293, 617)(258, 582, 308, 632)(259, 583, 287, 611)(260, 584, 294, 618)(262, 586, 284, 608)(264, 588, 303, 627)(267, 591, 292, 616)(269, 593, 285, 609)(271, 595, 302, 626)(276, 600, 307, 631)(277, 601, 296, 620)(278, 602, 289, 613)(279, 603, 305, 629)(280, 604, 304, 628)(282, 606, 301, 625)(309, 633, 323, 647)(310, 634, 322, 646)(311, 635, 324, 648)(312, 636, 321, 645)(313, 637, 320, 644)(314, 638, 318, 642)(315, 639, 317, 641)(316, 640, 319, 643)(649, 973, 651, 975, 656, 980, 666, 990, 658, 982, 652, 976)(650, 974, 653, 977, 660, 984, 673, 997, 662, 986, 654, 978)(655, 979, 663, 987, 678, 1002, 706, 1030, 680, 1004, 664, 988)(657, 981, 667, 991, 685, 1009, 719, 1043, 687, 1011, 668, 992)(659, 983, 670, 994, 691, 1015, 730, 1054, 693, 1017, 671, 995)(661, 985, 674, 998, 698, 1022, 743, 1067, 700, 1024, 675, 999)(665, 989, 681, 1005, 711, 1035, 764, 1088, 713, 1037, 682, 1006)(669, 993, 688, 1012, 724, 1048, 782, 1106, 726, 1050, 689, 1013)(672, 996, 694, 1018, 735, 1059, 798, 1122, 737, 1061, 695, 1019)(676, 1000, 701, 1025, 748, 1072, 816, 1140, 750, 1074, 702, 1026)(677, 1001, 703, 1027, 751, 1075, 820, 1144, 753, 1077, 704, 1028)(679, 1003, 707, 1031, 757, 1081, 829, 1153, 759, 1083, 708, 1032)(683, 1007, 714, 1038, 768, 1092, 843, 1167, 770, 1094, 715, 1039)(684, 1008, 716, 1040, 772, 1096, 848, 1172, 773, 1097, 717, 1041)(686, 1010, 720, 1044, 777, 1101, 854, 1178, 778, 1102, 721, 1045)(690, 1014, 727, 1051, 785, 1109, 864, 1188, 787, 1111, 728, 1052)(692, 1016, 731, 1055, 791, 1115, 873, 1197, 793, 1117, 732, 1056)(696, 1020, 738, 1062, 802, 1126, 887, 1211, 804, 1128, 739, 1063)(697, 1021, 740, 1064, 806, 1130, 892, 1216, 807, 1131, 741, 1065)(699, 1023, 744, 1068, 811, 1135, 898, 1222, 812, 1136, 745, 1069)(705, 1029, 754, 1078, 824, 1148, 774, 1098, 718, 1042, 755, 1079)(709, 1033, 760, 1084, 833, 1157, 779, 1103, 722, 1046, 761, 1085)(710, 1034, 762, 1086, 835, 1159, 919, 1243, 837, 1161, 763, 1087)(712, 1036, 765, 1089, 839, 1163, 876, 1200, 840, 1164, 766, 1090)(723, 1047, 780, 1104, 857, 1181, 891, 1215, 858, 1182, 781, 1105)(725, 1049, 783, 1107, 861, 1185, 930, 1254, 862, 1186, 784, 1108)(729, 1053, 788, 1112, 868, 1192, 808, 1132, 742, 1066, 789, 1113)(733, 1057, 794, 1118, 877, 1201, 813, 1137, 746, 1070, 795, 1119)(734, 1058, 796, 1120, 879, 1203, 944, 1268, 881, 1205, 797, 1121)(736, 1060, 799, 1123, 883, 1207, 832, 1156, 884, 1208, 800, 1124)(747, 1071, 814, 1138, 901, 1225, 847, 1171, 902, 1226, 815, 1139)(749, 1073, 817, 1141, 905, 1229, 955, 1279, 906, 1230, 818, 1142)(752, 1076, 821, 1145, 871, 1195, 790, 1114, 870, 1194, 822, 1146)(756, 1080, 826, 1150, 866, 1190, 786, 1110, 865, 1189, 827, 1151)(758, 1082, 830, 1154, 771, 1095, 846, 1170, 915, 1239, 831, 1155)(767, 1091, 841, 1165, 924, 1248, 945, 1269, 880, 1204, 842, 1166)(769, 1093, 844, 1168, 904, 1228, 939, 1263, 925, 1249, 845, 1169)(775, 1099, 850, 1174, 897, 1221, 810, 1134, 896, 1220, 851, 1175)(776, 1100, 852, 1176, 895, 1219, 809, 1133, 894, 1218, 853, 1177)(792, 1116, 874, 1198, 805, 1129, 890, 1214, 940, 1264, 875, 1199)(801, 1125, 885, 1209, 949, 1273, 920, 1244, 836, 1160, 886, 1210)(803, 1127, 888, 1212, 860, 1184, 914, 1238, 950, 1274, 889, 1213)(819, 1143, 907, 1231, 934, 1258, 903, 1227, 828, 1152, 908, 1232)(823, 1147, 910, 1234, 957, 1281, 931, 1255, 958, 1282, 911, 1235)(825, 1149, 912, 1236, 959, 1283, 923, 1247, 960, 1284, 913, 1237)(834, 1158, 916, 1240, 961, 1285, 929, 1253, 962, 1286, 917, 1241)(838, 1162, 921, 1245, 952, 1276, 899, 1223, 951, 1275, 893, 1217)(849, 1173, 882, 1206, 946, 1270, 927, 1251, 855, 1179, 926, 1250)(856, 1180, 922, 1246, 964, 1288, 918, 1242, 963, 1287, 928, 1252)(859, 1183, 872, 1196, 933, 1257, 863, 1187, 932, 1256, 909, 1233)(867, 1191, 935, 1259, 965, 1289, 956, 1280, 966, 1290, 936, 1260)(869, 1193, 937, 1261, 967, 1291, 948, 1272, 968, 1292, 938, 1262)(878, 1202, 941, 1265, 969, 1293, 954, 1278, 970, 1294, 942, 1266)(900, 1224, 947, 1271, 972, 1296, 943, 1267, 971, 1295, 953, 1277)
	L = (1, 650)(2, 649)(3, 655)(4, 657)(5, 659)(6, 661)(7, 651)(8, 665)(9, 652)(10, 669)(11, 653)(12, 672)(13, 654)(14, 676)(15, 677)(16, 679)(17, 656)(18, 683)(19, 684)(20, 686)(21, 658)(22, 690)(23, 692)(24, 660)(25, 696)(26, 697)(27, 699)(28, 662)(29, 663)(30, 705)(31, 664)(32, 709)(33, 710)(34, 712)(35, 666)(36, 667)(37, 718)(38, 668)(39, 722)(40, 723)(41, 725)(42, 670)(43, 729)(44, 671)(45, 733)(46, 734)(47, 736)(48, 673)(49, 674)(50, 742)(51, 675)(52, 746)(53, 747)(54, 749)(55, 745)(56, 752)(57, 678)(58, 756)(59, 731)(60, 758)(61, 680)(62, 681)(63, 735)(64, 682)(65, 748)(66, 767)(67, 769)(68, 771)(69, 741)(70, 685)(71, 775)(72, 776)(73, 727)(74, 687)(75, 688)(76, 737)(77, 689)(78, 750)(79, 721)(80, 786)(81, 691)(82, 790)(83, 707)(84, 792)(85, 693)(86, 694)(87, 711)(88, 695)(89, 724)(90, 801)(91, 803)(92, 805)(93, 717)(94, 698)(95, 809)(96, 810)(97, 703)(98, 700)(99, 701)(100, 713)(101, 702)(102, 726)(103, 819)(104, 704)(105, 800)(106, 823)(107, 825)(108, 706)(109, 828)(110, 708)(111, 832)(112, 808)(113, 834)(114, 831)(115, 836)(116, 838)(117, 821)(118, 787)(119, 714)(120, 824)(121, 715)(122, 833)(123, 716)(124, 847)(125, 849)(126, 794)(127, 719)(128, 720)(129, 814)(130, 855)(131, 856)(132, 811)(133, 853)(134, 859)(135, 860)(136, 846)(137, 863)(138, 728)(139, 766)(140, 867)(141, 869)(142, 730)(143, 872)(144, 732)(145, 876)(146, 774)(147, 878)(148, 875)(149, 880)(150, 882)(151, 865)(152, 753)(153, 738)(154, 868)(155, 739)(156, 877)(157, 740)(158, 891)(159, 893)(160, 760)(161, 743)(162, 744)(163, 780)(164, 899)(165, 900)(166, 777)(167, 897)(168, 903)(169, 904)(170, 890)(171, 751)(172, 885)(173, 765)(174, 909)(175, 754)(176, 768)(177, 755)(178, 914)(179, 894)(180, 757)(181, 892)(182, 887)(183, 762)(184, 759)(185, 770)(186, 761)(187, 918)(188, 763)(189, 913)(190, 764)(191, 922)(192, 923)(193, 864)(194, 888)(195, 874)(196, 886)(197, 898)(198, 784)(199, 772)(200, 873)(201, 773)(202, 871)(203, 920)(204, 921)(205, 781)(206, 889)(207, 778)(208, 779)(209, 929)(210, 911)(211, 782)(212, 783)(213, 916)(214, 931)(215, 785)(216, 841)(217, 799)(218, 934)(219, 788)(220, 802)(221, 789)(222, 939)(223, 850)(224, 791)(225, 848)(226, 843)(227, 796)(228, 793)(229, 804)(230, 795)(231, 943)(232, 797)(233, 938)(234, 798)(235, 947)(236, 948)(237, 820)(238, 844)(239, 830)(240, 842)(241, 854)(242, 818)(243, 806)(244, 829)(245, 807)(246, 827)(247, 945)(248, 946)(249, 815)(250, 845)(251, 812)(252, 813)(253, 954)(254, 936)(255, 816)(256, 817)(257, 941)(258, 956)(259, 935)(260, 942)(261, 822)(262, 932)(263, 858)(264, 951)(265, 837)(266, 826)(267, 940)(268, 861)(269, 933)(270, 835)(271, 950)(272, 851)(273, 852)(274, 839)(275, 840)(276, 955)(277, 944)(278, 937)(279, 953)(280, 952)(281, 857)(282, 949)(283, 862)(284, 910)(285, 917)(286, 866)(287, 907)(288, 902)(289, 926)(290, 881)(291, 870)(292, 915)(293, 905)(294, 908)(295, 879)(296, 925)(297, 895)(298, 896)(299, 883)(300, 884)(301, 930)(302, 919)(303, 912)(304, 928)(305, 927)(306, 901)(307, 924)(308, 906)(309, 971)(310, 970)(311, 972)(312, 969)(313, 968)(314, 966)(315, 965)(316, 967)(317, 963)(318, 962)(319, 964)(320, 961)(321, 960)(322, 958)(323, 957)(324, 959)(325, 973)(326, 974)(327, 975)(328, 976)(329, 977)(330, 978)(331, 979)(332, 980)(333, 981)(334, 982)(335, 983)(336, 984)(337, 985)(338, 986)(339, 987)(340, 988)(341, 989)(342, 990)(343, 991)(344, 992)(345, 993)(346, 994)(347, 995)(348, 996)(349, 997)(350, 998)(351, 999)(352, 1000)(353, 1001)(354, 1002)(355, 1003)(356, 1004)(357, 1005)(358, 1006)(359, 1007)(360, 1008)(361, 1009)(362, 1010)(363, 1011)(364, 1012)(365, 1013)(366, 1014)(367, 1015)(368, 1016)(369, 1017)(370, 1018)(371, 1019)(372, 1020)(373, 1021)(374, 1022)(375, 1023)(376, 1024)(377, 1025)(378, 1026)(379, 1027)(380, 1028)(381, 1029)(382, 1030)(383, 1031)(384, 1032)(385, 1033)(386, 1034)(387, 1035)(388, 1036)(389, 1037)(390, 1038)(391, 1039)(392, 1040)(393, 1041)(394, 1042)(395, 1043)(396, 1044)(397, 1045)(398, 1046)(399, 1047)(400, 1048)(401, 1049)(402, 1050)(403, 1051)(404, 1052)(405, 1053)(406, 1054)(407, 1055)(408, 1056)(409, 1057)(410, 1058)(411, 1059)(412, 1060)(413, 1061)(414, 1062)(415, 1063)(416, 1064)(417, 1065)(418, 1066)(419, 1067)(420, 1068)(421, 1069)(422, 1070)(423, 1071)(424, 1072)(425, 1073)(426, 1074)(427, 1075)(428, 1076)(429, 1077)(430, 1078)(431, 1079)(432, 1080)(433, 1081)(434, 1082)(435, 1083)(436, 1084)(437, 1085)(438, 1086)(439, 1087)(440, 1088)(441, 1089)(442, 1090)(443, 1091)(444, 1092)(445, 1093)(446, 1094)(447, 1095)(448, 1096)(449, 1097)(450, 1098)(451, 1099)(452, 1100)(453, 1101)(454, 1102)(455, 1103)(456, 1104)(457, 1105)(458, 1106)(459, 1107)(460, 1108)(461, 1109)(462, 1110)(463, 1111)(464, 1112)(465, 1113)(466, 1114)(467, 1115)(468, 1116)(469, 1117)(470, 1118)(471, 1119)(472, 1120)(473, 1121)(474, 1122)(475, 1123)(476, 1124)(477, 1125)(478, 1126)(479, 1127)(480, 1128)(481, 1129)(482, 1130)(483, 1131)(484, 1132)(485, 1133)(486, 1134)(487, 1135)(488, 1136)(489, 1137)(490, 1138)(491, 1139)(492, 1140)(493, 1141)(494, 1142)(495, 1143)(496, 1144)(497, 1145)(498, 1146)(499, 1147)(500, 1148)(501, 1149)(502, 1150)(503, 1151)(504, 1152)(505, 1153)(506, 1154)(507, 1155)(508, 1156)(509, 1157)(510, 1158)(511, 1159)(512, 1160)(513, 1161)(514, 1162)(515, 1163)(516, 1164)(517, 1165)(518, 1166)(519, 1167)(520, 1168)(521, 1169)(522, 1170)(523, 1171)(524, 1172)(525, 1173)(526, 1174)(527, 1175)(528, 1176)(529, 1177)(530, 1178)(531, 1179)(532, 1180)(533, 1181)(534, 1182)(535, 1183)(536, 1184)(537, 1185)(538, 1186)(539, 1187)(540, 1188)(541, 1189)(542, 1190)(543, 1191)(544, 1192)(545, 1193)(546, 1194)(547, 1195)(548, 1196)(549, 1197)(550, 1198)(551, 1199)(552, 1200)(553, 1201)(554, 1202)(555, 1203)(556, 1204)(557, 1205)(558, 1206)(559, 1207)(560, 1208)(561, 1209)(562, 1210)(563, 1211)(564, 1212)(565, 1213)(566, 1214)(567, 1215)(568, 1216)(569, 1217)(570, 1218)(571, 1219)(572, 1220)(573, 1221)(574, 1222)(575, 1223)(576, 1224)(577, 1225)(578, 1226)(579, 1227)(580, 1228)(581, 1229)(582, 1230)(583, 1231)(584, 1232)(585, 1233)(586, 1234)(587, 1235)(588, 1236)(589, 1237)(590, 1238)(591, 1239)(592, 1240)(593, 1241)(594, 1242)(595, 1243)(596, 1244)(597, 1245)(598, 1246)(599, 1247)(600, 1248)(601, 1249)(602, 1250)(603, 1251)(604, 1252)(605, 1253)(606, 1254)(607, 1255)(608, 1256)(609, 1257)(610, 1258)(611, 1259)(612, 1260)(613, 1261)(614, 1262)(615, 1263)(616, 1264)(617, 1265)(618, 1266)(619, 1267)(620, 1268)(621, 1269)(622, 1270)(623, 1271)(624, 1272)(625, 1273)(626, 1274)(627, 1275)(628, 1276)(629, 1277)(630, 1278)(631, 1279)(632, 1280)(633, 1281)(634, 1282)(635, 1283)(636, 1284)(637, 1285)(638, 1286)(639, 1287)(640, 1288)(641, 1289)(642, 1290)(643, 1291)(644, 1292)(645, 1293)(646, 1294)(647, 1295)(648, 1296)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3255
Graph:: bipartite
	v = 216 e = 648 f = 378
	degree seq :: [ 4^162, 12^54 ]

E28.3252 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = S3 x (((C3 x C3) : C3) : C2) (small group id <324, 116>)
Aut   = $<648, 555>$ (small group id <648, 555>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2 * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, Y2^6, Y1^6, Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-2 * Y2 * Y1^-1, Y1^-1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1^-2 * Y2^-2 * Y1^-1, Y1^-1 * Y2 * Y1^-1 * Y2^3 * Y1^-1 * Y2 * Y1^-2 * Y2 * Y1^-1, Y1^-1 * Y2^-2 * Y1 * Y2 * Y1^-2 * Y2^3 * Y1^-2, Y2 * Y1^-1 * Y2^-3 * Y1 * Y2^-1 * Y1 * Y2^-3 * Y1^-1, Y2 * Y1^-1 * Y2^-1 * Y1^2 * Y2^2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 ]
Map::
	R = (1, 325, 2, 326, 6, 330, 16, 340, 13, 337, 4, 328)(3, 327, 9, 333, 23, 347, 53, 377, 29, 353, 11, 335)(5, 329, 14, 338, 34, 358, 48, 372, 20, 344, 7, 331)(8, 332, 21, 345, 49, 373, 92, 416, 41, 365, 17, 341)(10, 334, 25, 349, 58, 382, 124, 448, 63, 387, 27, 351)(12, 336, 30, 354, 68, 392, 144, 468, 73, 397, 32, 356)(15, 339, 37, 361, 82, 406, 165, 489, 79, 403, 35, 359)(18, 342, 42, 366, 93, 417, 176, 500, 85, 409, 38, 362)(19, 343, 44, 368, 97, 421, 197, 521, 102, 426, 46, 370)(22, 346, 52, 376, 113, 437, 222, 546, 110, 434, 50, 374)(24, 348, 56, 380, 120, 444, 235, 559, 118, 442, 54, 378)(26, 350, 60, 384, 129, 453, 173, 497, 132, 456, 61, 385)(28, 352, 64, 388, 91, 415, 187, 511, 141, 465, 66, 390)(31, 355, 70, 394, 149, 473, 252, 576, 152, 476, 71, 395)(33, 357, 39, 363, 86, 410, 177, 501, 140, 464, 75, 399)(36, 360, 80, 404, 95, 419, 193, 517, 146, 470, 76, 400)(40, 364, 88, 412, 181, 505, 283, 607, 186, 510, 90, 414)(43, 367, 96, 420, 195, 519, 299, 623, 192, 516, 94, 418)(45, 369, 99, 423, 202, 526, 148, 472, 205, 529, 100, 424)(47, 371, 103, 427, 175, 499, 154, 478, 72, 396, 105, 429)(51, 375, 111, 435, 179, 503, 115, 439, 55, 379, 107, 431)(57, 381, 123, 447, 184, 508, 89, 413, 183, 507, 121, 445)(59, 383, 127, 451, 209, 533, 295, 619, 244, 568, 125, 449)(62, 386, 133, 457, 234, 558, 300, 624, 194, 518, 135, 459)(65, 389, 138, 462, 253, 577, 301, 625, 196, 520, 139, 463)(67, 391, 116, 440, 230, 554, 305, 629, 203, 527, 143, 467)(69, 393, 147, 471, 259, 583, 304, 628, 243, 567, 145, 469)(74, 398, 156, 480, 264, 588, 309, 633, 267, 591, 157, 481)(77, 401, 159, 483, 239, 563, 287, 611, 214, 538, 106, 430)(78, 402, 161, 485, 182, 506, 285, 609, 238, 562, 163, 487)(81, 405, 167, 491, 266, 590, 318, 642, 269, 593, 166, 490)(83, 407, 170, 494, 256, 580, 293, 617, 199, 523, 168, 492)(84, 408, 172, 496, 271, 595, 254, 578, 274, 598, 174, 498)(87, 411, 180, 504, 281, 605, 246, 570, 279, 603, 178, 502)(98, 422, 200, 524, 292, 616, 233, 557, 117, 441, 198, 522)(101, 425, 206, 530, 164, 488, 229, 553, 280, 604, 208, 532)(104, 428, 211, 535, 308, 632, 321, 645, 282, 606, 212, 536)(108, 432, 216, 540, 131, 455, 248, 572, 296, 620, 189, 513)(109, 433, 218, 542, 272, 596, 231, 555, 169, 493, 220, 544)(112, 436, 224, 548, 151, 475, 262, 586, 311, 635, 223, 547)(114, 438, 227, 551, 153, 477, 263, 587, 284, 608, 225, 549)(119, 443, 236, 560, 273, 597, 319, 643, 298, 622, 215, 539)(122, 446, 240, 564, 275, 599, 210, 534, 126, 450, 237, 561)(128, 452, 204, 528, 306, 630, 232, 556, 276, 600, 190, 514)(130, 454, 219, 543, 155, 479, 257, 581, 286, 610, 247, 571)(134, 458, 207, 531, 290, 614, 320, 644, 313, 637, 250, 574)(136, 460, 213, 537, 278, 602, 261, 585, 150, 474, 217, 541)(137, 461, 251, 575, 316, 640, 260, 584, 294, 618, 188, 512)(142, 466, 191, 515, 297, 621, 265, 589, 160, 484, 226, 550)(158, 482, 258, 582, 291, 615, 185, 509, 289, 613, 221, 545)(162, 486, 255, 579, 277, 601, 201, 525, 288, 612, 242, 566)(171, 495, 228, 552, 302, 626, 322, 646, 315, 639, 241, 565)(245, 569, 312, 636, 268, 592, 307, 631, 324, 648, 314, 638)(249, 573, 310, 634, 323, 647, 317, 641, 270, 594, 303, 627)(649, 973, 651, 975, 658, 982, 674, 998, 663, 987, 653, 977)(650, 974, 655, 979, 667, 991, 693, 1017, 670, 994, 656, 980)(652, 976, 660, 984, 679, 1003, 705, 1029, 672, 996, 657, 981)(654, 978, 665, 989, 688, 1012, 737, 1061, 691, 1015, 666, 990)(659, 983, 676, 1000, 713, 1037, 776, 1100, 707, 1031, 673, 997)(661, 985, 681, 1005, 722, 1046, 796, 1120, 717, 1041, 678, 1002)(662, 986, 683, 1007, 726, 1050, 810, 1134, 729, 1053, 684, 1008)(664, 988, 686, 1010, 732, 1056, 821, 1145, 735, 1059, 687, 1011)(668, 992, 695, 1019, 752, 1076, 849, 1173, 746, 1070, 692, 1016)(669, 993, 698, 1022, 757, 1081, 867, 1191, 760, 1084, 699, 1023)(671, 995, 702, 1026, 765, 1089, 880, 1204, 767, 1091, 703, 1027)(675, 999, 710, 1034, 782, 1106, 872, 1196, 778, 1102, 708, 1032)(677, 1001, 715, 1039, 790, 1114, 900, 1224, 785, 1109, 712, 1036)(680, 1004, 720, 1044, 801, 1125, 864, 1188, 798, 1122, 718, 1042)(682, 1006, 724, 1048, 806, 1130, 870, 1194, 808, 1132, 725, 1049)(685, 1009, 709, 1033, 779, 1103, 875, 1199, 819, 1143, 731, 1055)(689, 1013, 739, 1063, 836, 1160, 934, 1258, 830, 1154, 736, 1060)(690, 1014, 742, 1066, 839, 1163, 791, 1115, 842, 1166, 743, 1067)(694, 1018, 749, 1073, 855, 1179, 783, 1107, 851, 1175, 747, 1071)(696, 1020, 754, 1078, 861, 1185, 772, 1096, 858, 1182, 751, 1075)(697, 1021, 755, 1079, 863, 1187, 947, 1271, 865, 1189, 756, 1080)(700, 1024, 748, 1072, 852, 1176, 787, 1111, 876, 1200, 762, 1086)(701, 1025, 763, 1087, 877, 1201, 813, 1137, 879, 1203, 764, 1088)(704, 1028, 769, 1093, 887, 1211, 818, 1142, 889, 1213, 770, 1094)(706, 1030, 773, 1097, 891, 1215, 959, 1283, 893, 1217, 774, 1098)(711, 1035, 784, 1108, 843, 1167, 949, 1273, 897, 1221, 781, 1105)(714, 1038, 788, 1112, 903, 1227, 811, 1135, 902, 1226, 786, 1110)(716, 1040, 793, 1117, 892, 1216, 944, 1268, 906, 1230, 794, 1118)(719, 1043, 799, 1123, 898, 1222, 815, 1139, 890, 1214, 771, 1095)(721, 1045, 803, 1127, 868, 1192, 957, 1281, 859, 1183, 753, 1077)(723, 1047, 789, 1113, 904, 1228, 807, 1131, 913, 1237, 804, 1128)(727, 1051, 812, 1136, 916, 1240, 932, 1256, 829, 1153, 809, 1133)(728, 1052, 814, 1138, 894, 1218, 775, 1099, 838, 1162, 741, 1065)(730, 1054, 816, 1140, 918, 1242, 966, 1290, 915, 1239, 817, 1141)(733, 1057, 823, 1147, 923, 1247, 878, 1202, 920, 1244, 820, 1144)(734, 1058, 826, 1150, 926, 1250, 862, 1186, 928, 1252, 827, 1151)(738, 1062, 833, 1157, 938, 1262, 856, 1180, 935, 1259, 831, 1155)(740, 1064, 837, 1161, 943, 1267, 845, 1169, 941, 1265, 835, 1159)(744, 1068, 832, 1156, 936, 1260, 860, 1184, 950, 1274, 844, 1168)(745, 1069, 846, 1170, 766, 1090, 882, 1206, 951, 1275, 847, 1171)(750, 1074, 857, 1181, 929, 1253, 969, 1293, 955, 1279, 854, 1178)(758, 1082, 869, 1193, 958, 1282, 901, 1225, 919, 1243, 866, 1190)(759, 1083, 871, 1195, 952, 1276, 848, 1172, 925, 1249, 825, 1149)(761, 1085, 873, 1197, 960, 1284, 910, 1234, 800, 1124, 874, 1198)(768, 1092, 885, 1209, 962, 1286, 967, 1291, 922, 1246, 886, 1210)(777, 1101, 895, 1219, 942, 1266, 970, 1294, 930, 1254, 828, 1152)(780, 1104, 822, 1146, 921, 1245, 968, 1292, 939, 1263, 896, 1220)(792, 1116, 841, 1165, 948, 1272, 883, 1207, 933, 1257, 905, 1229)(795, 1119, 850, 1174, 953, 1277, 888, 1212, 963, 1287, 908, 1232)(797, 1121, 909, 1233, 927, 1251, 917, 1241, 965, 1289, 899, 1223)(802, 1126, 824, 1148, 924, 1248, 881, 1205, 931, 1255, 911, 1235)(805, 1129, 914, 1238, 961, 1285, 884, 1208, 954, 1278, 853, 1177)(834, 1158, 940, 1264, 907, 1231, 964, 1288, 971, 1295, 937, 1261)(840, 1164, 946, 1270, 972, 1296, 956, 1280, 912, 1236, 945, 1269)
	L = (1, 651)(2, 655)(3, 658)(4, 660)(5, 649)(6, 665)(7, 667)(8, 650)(9, 652)(10, 674)(11, 676)(12, 679)(13, 681)(14, 683)(15, 653)(16, 686)(17, 688)(18, 654)(19, 693)(20, 695)(21, 698)(22, 656)(23, 702)(24, 657)(25, 659)(26, 663)(27, 710)(28, 713)(29, 715)(30, 661)(31, 705)(32, 720)(33, 722)(34, 724)(35, 726)(36, 662)(37, 709)(38, 732)(39, 664)(40, 737)(41, 739)(42, 742)(43, 666)(44, 668)(45, 670)(46, 749)(47, 752)(48, 754)(49, 755)(50, 757)(51, 669)(52, 748)(53, 763)(54, 765)(55, 671)(56, 769)(57, 672)(58, 773)(59, 673)(60, 675)(61, 779)(62, 782)(63, 784)(64, 677)(65, 776)(66, 788)(67, 790)(68, 793)(69, 678)(70, 680)(71, 799)(72, 801)(73, 803)(74, 796)(75, 789)(76, 806)(77, 682)(78, 810)(79, 812)(80, 814)(81, 684)(82, 816)(83, 685)(84, 821)(85, 823)(86, 826)(87, 687)(88, 689)(89, 691)(90, 833)(91, 836)(92, 837)(93, 728)(94, 839)(95, 690)(96, 832)(97, 846)(98, 692)(99, 694)(100, 852)(101, 855)(102, 857)(103, 696)(104, 849)(105, 721)(106, 861)(107, 863)(108, 697)(109, 867)(110, 869)(111, 871)(112, 699)(113, 873)(114, 700)(115, 877)(116, 701)(117, 880)(118, 882)(119, 703)(120, 885)(121, 887)(122, 704)(123, 719)(124, 858)(125, 891)(126, 706)(127, 838)(128, 707)(129, 895)(130, 708)(131, 875)(132, 822)(133, 711)(134, 872)(135, 851)(136, 843)(137, 712)(138, 714)(139, 876)(140, 903)(141, 904)(142, 900)(143, 842)(144, 841)(145, 892)(146, 716)(147, 850)(148, 717)(149, 909)(150, 718)(151, 898)(152, 874)(153, 864)(154, 824)(155, 868)(156, 723)(157, 914)(158, 870)(159, 913)(160, 725)(161, 727)(162, 729)(163, 902)(164, 916)(165, 879)(166, 894)(167, 890)(168, 918)(169, 730)(170, 889)(171, 731)(172, 733)(173, 735)(174, 921)(175, 923)(176, 924)(177, 759)(178, 926)(179, 734)(180, 777)(181, 809)(182, 736)(183, 738)(184, 936)(185, 938)(186, 940)(187, 740)(188, 934)(189, 943)(190, 741)(191, 791)(192, 946)(193, 948)(194, 743)(195, 949)(196, 744)(197, 941)(198, 766)(199, 745)(200, 925)(201, 746)(202, 953)(203, 747)(204, 787)(205, 805)(206, 750)(207, 783)(208, 935)(209, 929)(210, 751)(211, 753)(212, 950)(213, 772)(214, 928)(215, 947)(216, 798)(217, 756)(218, 758)(219, 760)(220, 957)(221, 958)(222, 808)(223, 952)(224, 778)(225, 960)(226, 761)(227, 819)(228, 762)(229, 813)(230, 920)(231, 764)(232, 767)(233, 931)(234, 951)(235, 933)(236, 954)(237, 962)(238, 768)(239, 818)(240, 963)(241, 770)(242, 771)(243, 959)(244, 944)(245, 774)(246, 775)(247, 942)(248, 780)(249, 781)(250, 815)(251, 797)(252, 785)(253, 919)(254, 786)(255, 811)(256, 807)(257, 792)(258, 794)(259, 964)(260, 795)(261, 927)(262, 800)(263, 802)(264, 945)(265, 804)(266, 961)(267, 817)(268, 932)(269, 965)(270, 966)(271, 866)(272, 820)(273, 968)(274, 886)(275, 878)(276, 881)(277, 825)(278, 862)(279, 917)(280, 827)(281, 969)(282, 828)(283, 911)(284, 829)(285, 905)(286, 830)(287, 831)(288, 860)(289, 834)(290, 856)(291, 896)(292, 907)(293, 835)(294, 970)(295, 845)(296, 906)(297, 840)(298, 972)(299, 865)(300, 883)(301, 897)(302, 844)(303, 847)(304, 848)(305, 888)(306, 853)(307, 854)(308, 912)(309, 859)(310, 901)(311, 893)(312, 910)(313, 884)(314, 967)(315, 908)(316, 971)(317, 899)(318, 915)(319, 922)(320, 939)(321, 955)(322, 930)(323, 937)(324, 956)(325, 973)(326, 974)(327, 975)(328, 976)(329, 977)(330, 978)(331, 979)(332, 980)(333, 981)(334, 982)(335, 983)(336, 984)(337, 985)(338, 986)(339, 987)(340, 988)(341, 989)(342, 990)(343, 991)(344, 992)(345, 993)(346, 994)(347, 995)(348, 996)(349, 997)(350, 998)(351, 999)(352, 1000)(353, 1001)(354, 1002)(355, 1003)(356, 1004)(357, 1005)(358, 1006)(359, 1007)(360, 1008)(361, 1009)(362, 1010)(363, 1011)(364, 1012)(365, 1013)(366, 1014)(367, 1015)(368, 1016)(369, 1017)(370, 1018)(371, 1019)(372, 1020)(373, 1021)(374, 1022)(375, 1023)(376, 1024)(377, 1025)(378, 1026)(379, 1027)(380, 1028)(381, 1029)(382, 1030)(383, 1031)(384, 1032)(385, 1033)(386, 1034)(387, 1035)(388, 1036)(389, 1037)(390, 1038)(391, 1039)(392, 1040)(393, 1041)(394, 1042)(395, 1043)(396, 1044)(397, 1045)(398, 1046)(399, 1047)(400, 1048)(401, 1049)(402, 1050)(403, 1051)(404, 1052)(405, 1053)(406, 1054)(407, 1055)(408, 1056)(409, 1057)(410, 1058)(411, 1059)(412, 1060)(413, 1061)(414, 1062)(415, 1063)(416, 1064)(417, 1065)(418, 1066)(419, 1067)(420, 1068)(421, 1069)(422, 1070)(423, 1071)(424, 1072)(425, 1073)(426, 1074)(427, 1075)(428, 1076)(429, 1077)(430, 1078)(431, 1079)(432, 1080)(433, 1081)(434, 1082)(435, 1083)(436, 1084)(437, 1085)(438, 1086)(439, 1087)(440, 1088)(441, 1089)(442, 1090)(443, 1091)(444, 1092)(445, 1093)(446, 1094)(447, 1095)(448, 1096)(449, 1097)(450, 1098)(451, 1099)(452, 1100)(453, 1101)(454, 1102)(455, 1103)(456, 1104)(457, 1105)(458, 1106)(459, 1107)(460, 1108)(461, 1109)(462, 1110)(463, 1111)(464, 1112)(465, 1113)(466, 1114)(467, 1115)(468, 1116)(469, 1117)(470, 1118)(471, 1119)(472, 1120)(473, 1121)(474, 1122)(475, 1123)(476, 1124)(477, 1125)(478, 1126)(479, 1127)(480, 1128)(481, 1129)(482, 1130)(483, 1131)(484, 1132)(485, 1133)(486, 1134)(487, 1135)(488, 1136)(489, 1137)(490, 1138)(491, 1139)(492, 1140)(493, 1141)(494, 1142)(495, 1143)(496, 1144)(497, 1145)(498, 1146)(499, 1147)(500, 1148)(501, 1149)(502, 1150)(503, 1151)(504, 1152)(505, 1153)(506, 1154)(507, 1155)(508, 1156)(509, 1157)(510, 1158)(511, 1159)(512, 1160)(513, 1161)(514, 1162)(515, 1163)(516, 1164)(517, 1165)(518, 1166)(519, 1167)(520, 1168)(521, 1169)(522, 1170)(523, 1171)(524, 1172)(525, 1173)(526, 1174)(527, 1175)(528, 1176)(529, 1177)(530, 1178)(531, 1179)(532, 1180)(533, 1181)(534, 1182)(535, 1183)(536, 1184)(537, 1185)(538, 1186)(539, 1187)(540, 1188)(541, 1189)(542, 1190)(543, 1191)(544, 1192)(545, 1193)(546, 1194)(547, 1195)(548, 1196)(549, 1197)(550, 1198)(551, 1199)(552, 1200)(553, 1201)(554, 1202)(555, 1203)(556, 1204)(557, 1205)(558, 1206)(559, 1207)(560, 1208)(561, 1209)(562, 1210)(563, 1211)(564, 1212)(565, 1213)(566, 1214)(567, 1215)(568, 1216)(569, 1217)(570, 1218)(571, 1219)(572, 1220)(573, 1221)(574, 1222)(575, 1223)(576, 1224)(577, 1225)(578, 1226)(579, 1227)(580, 1228)(581, 1229)(582, 1230)(583, 1231)(584, 1232)(585, 1233)(586, 1234)(587, 1235)(588, 1236)(589, 1237)(590, 1238)(591, 1239)(592, 1240)(593, 1241)(594, 1242)(595, 1243)(596, 1244)(597, 1245)(598, 1246)(599, 1247)(600, 1248)(601, 1249)(602, 1250)(603, 1251)(604, 1252)(605, 1253)(606, 1254)(607, 1255)(608, 1256)(609, 1257)(610, 1258)(611, 1259)(612, 1260)(613, 1261)(614, 1262)(615, 1263)(616, 1264)(617, 1265)(618, 1266)(619, 1267)(620, 1268)(621, 1269)(622, 1270)(623, 1271)(624, 1272)(625, 1273)(626, 1274)(627, 1275)(628, 1276)(629, 1277)(630, 1278)(631, 1279)(632, 1280)(633, 1281)(634, 1282)(635, 1283)(636, 1284)(637, 1285)(638, 1286)(639, 1287)(640, 1288)(641, 1289)(642, 1290)(643, 1291)(644, 1292)(645, 1293)(646, 1294)(647, 1295)(648, 1296)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.3253
Graph:: bipartite
	v = 108 e = 648 f = 486
	degree seq :: [ 12^108 ]

E28.3253 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = S3 x (((C3 x C3) : C3) : C2) (small group id <324, 116>)
Aut   = $<648, 555>$ (small group id <648, 555>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^6, (Y3^-1 * Y2 * Y3 * Y2)^3, (Y3^-1 * Y1^-1)^6, (Y3 * Y2)^6, Y3^2 * Y2 * Y3^-3 * Y2 * Y3^-2 * Y2 * Y3^3 * Y2, (Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1)^2, Y3^2 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-2 * Y2 * Y3^-1 * Y2 * Y3 * Y2 ]
Map:: polytopal
	R = (1, 325)(2, 326)(3, 327)(4, 328)(5, 329)(6, 330)(7, 331)(8, 332)(9, 333)(10, 334)(11, 335)(12, 336)(13, 337)(14, 338)(15, 339)(16, 340)(17, 341)(18, 342)(19, 343)(20, 344)(21, 345)(22, 346)(23, 347)(24, 348)(25, 349)(26, 350)(27, 351)(28, 352)(29, 353)(30, 354)(31, 355)(32, 356)(33, 357)(34, 358)(35, 359)(36, 360)(37, 361)(38, 362)(39, 363)(40, 364)(41, 365)(42, 366)(43, 367)(44, 368)(45, 369)(46, 370)(47, 371)(48, 372)(49, 373)(50, 374)(51, 375)(52, 376)(53, 377)(54, 378)(55, 379)(56, 380)(57, 381)(58, 382)(59, 383)(60, 384)(61, 385)(62, 386)(63, 387)(64, 388)(65, 389)(66, 390)(67, 391)(68, 392)(69, 393)(70, 394)(71, 395)(72, 396)(73, 397)(74, 398)(75, 399)(76, 400)(77, 401)(78, 402)(79, 403)(80, 404)(81, 405)(82, 406)(83, 407)(84, 408)(85, 409)(86, 410)(87, 411)(88, 412)(89, 413)(90, 414)(91, 415)(92, 416)(93, 417)(94, 418)(95, 419)(96, 420)(97, 421)(98, 422)(99, 423)(100, 424)(101, 425)(102, 426)(103, 427)(104, 428)(105, 429)(106, 430)(107, 431)(108, 432)(109, 433)(110, 434)(111, 435)(112, 436)(113, 437)(114, 438)(115, 439)(116, 440)(117, 441)(118, 442)(119, 443)(120, 444)(121, 445)(122, 446)(123, 447)(124, 448)(125, 449)(126, 450)(127, 451)(128, 452)(129, 453)(130, 454)(131, 455)(132, 456)(133, 457)(134, 458)(135, 459)(136, 460)(137, 461)(138, 462)(139, 463)(140, 464)(141, 465)(142, 466)(143, 467)(144, 468)(145, 469)(146, 470)(147, 471)(148, 472)(149, 473)(150, 474)(151, 475)(152, 476)(153, 477)(154, 478)(155, 479)(156, 480)(157, 481)(158, 482)(159, 483)(160, 484)(161, 485)(162, 486)(163, 487)(164, 488)(165, 489)(166, 490)(167, 491)(168, 492)(169, 493)(170, 494)(171, 495)(172, 496)(173, 497)(174, 498)(175, 499)(176, 500)(177, 501)(178, 502)(179, 503)(180, 504)(181, 505)(182, 506)(183, 507)(184, 508)(185, 509)(186, 510)(187, 511)(188, 512)(189, 513)(190, 514)(191, 515)(192, 516)(193, 517)(194, 518)(195, 519)(196, 520)(197, 521)(198, 522)(199, 523)(200, 524)(201, 525)(202, 526)(203, 527)(204, 528)(205, 529)(206, 530)(207, 531)(208, 532)(209, 533)(210, 534)(211, 535)(212, 536)(213, 537)(214, 538)(215, 539)(216, 540)(217, 541)(218, 542)(219, 543)(220, 544)(221, 545)(222, 546)(223, 547)(224, 548)(225, 549)(226, 550)(227, 551)(228, 552)(229, 553)(230, 554)(231, 555)(232, 556)(233, 557)(234, 558)(235, 559)(236, 560)(237, 561)(238, 562)(239, 563)(240, 564)(241, 565)(242, 566)(243, 567)(244, 568)(245, 569)(246, 570)(247, 571)(248, 572)(249, 573)(250, 574)(251, 575)(252, 576)(253, 577)(254, 578)(255, 579)(256, 580)(257, 581)(258, 582)(259, 583)(260, 584)(261, 585)(262, 586)(263, 587)(264, 588)(265, 589)(266, 590)(267, 591)(268, 592)(269, 593)(270, 594)(271, 595)(272, 596)(273, 597)(274, 598)(275, 599)(276, 600)(277, 601)(278, 602)(279, 603)(280, 604)(281, 605)(282, 606)(283, 607)(284, 608)(285, 609)(286, 610)(287, 611)(288, 612)(289, 613)(290, 614)(291, 615)(292, 616)(293, 617)(294, 618)(295, 619)(296, 620)(297, 621)(298, 622)(299, 623)(300, 624)(301, 625)(302, 626)(303, 627)(304, 628)(305, 629)(306, 630)(307, 631)(308, 632)(309, 633)(310, 634)(311, 635)(312, 636)(313, 637)(314, 638)(315, 639)(316, 640)(317, 641)(318, 642)(319, 643)(320, 644)(321, 645)(322, 646)(323, 647)(324, 648)(649, 973, 650, 974)(651, 975, 655, 979)(652, 976, 657, 981)(653, 977, 659, 983)(654, 978, 661, 985)(656, 980, 665, 989)(658, 982, 669, 993)(660, 984, 672, 996)(662, 986, 676, 1000)(663, 987, 677, 1001)(664, 988, 679, 1003)(666, 990, 683, 1007)(667, 991, 684, 1008)(668, 992, 686, 1010)(670, 994, 690, 1014)(671, 995, 692, 1016)(673, 997, 696, 1020)(674, 998, 697, 1021)(675, 999, 699, 1023)(678, 1002, 705, 1029)(680, 1004, 709, 1033)(681, 1005, 710, 1034)(682, 1006, 712, 1036)(685, 1009, 718, 1042)(687, 1011, 722, 1046)(688, 1012, 723, 1047)(689, 1013, 725, 1049)(691, 1015, 729, 1053)(693, 1017, 733, 1057)(694, 1018, 734, 1058)(695, 1019, 736, 1060)(698, 1022, 742, 1066)(700, 1024, 746, 1070)(701, 1025, 747, 1071)(702, 1026, 749, 1073)(703, 1027, 745, 1069)(704, 1028, 752, 1076)(706, 1030, 756, 1080)(707, 1031, 731, 1055)(708, 1032, 758, 1082)(711, 1035, 764, 1088)(713, 1037, 768, 1092)(714, 1038, 769, 1093)(715, 1039, 771, 1095)(716, 1040, 773, 1097)(717, 1041, 741, 1065)(719, 1043, 778, 1102)(720, 1044, 779, 1103)(721, 1045, 727, 1051)(724, 1048, 786, 1110)(726, 1050, 790, 1114)(728, 1052, 792, 1116)(730, 1054, 796, 1120)(732, 1056, 798, 1122)(735, 1059, 804, 1128)(737, 1061, 808, 1132)(738, 1062, 809, 1133)(739, 1063, 811, 1135)(740, 1064, 813, 1137)(743, 1067, 818, 1142)(744, 1068, 819, 1143)(748, 1072, 826, 1150)(750, 1074, 830, 1154)(751, 1075, 831, 1155)(753, 1077, 807, 1131)(754, 1078, 794, 1118)(755, 1079, 836, 1160)(757, 1081, 840, 1164)(759, 1083, 828, 1152)(760, 1084, 817, 1141)(761, 1085, 845, 1169)(762, 1086, 843, 1167)(763, 1087, 814, 1138)(765, 1089, 810, 1134)(766, 1090, 833, 1157)(767, 1091, 793, 1117)(770, 1094, 805, 1129)(772, 1096, 827, 1151)(774, 1098, 803, 1127)(775, 1099, 862, 1186)(776, 1100, 863, 1187)(777, 1101, 800, 1124)(780, 1104, 824, 1148)(781, 1105, 867, 1191)(782, 1106, 868, 1192)(783, 1107, 823, 1147)(784, 1108, 820, 1144)(785, 1109, 865, 1189)(787, 1111, 812, 1136)(788, 1112, 799, 1123)(789, 1113, 860, 1184)(791, 1115, 873, 1197)(795, 1119, 878, 1202)(797, 1121, 882, 1206)(801, 1125, 887, 1211)(802, 1126, 885, 1209)(806, 1130, 875, 1199)(815, 1139, 904, 1228)(816, 1140, 905, 1229)(821, 1145, 909, 1233)(822, 1146, 910, 1234)(825, 1149, 907, 1231)(829, 1153, 902, 1226)(832, 1156, 897, 1221)(834, 1158, 918, 1242)(835, 1159, 919, 1243)(837, 1161, 914, 1238)(838, 1162, 922, 1246)(839, 1163, 881, 1205)(841, 1165, 898, 1222)(842, 1166, 926, 1250)(844, 1168, 928, 1252)(846, 1170, 893, 1217)(847, 1171, 896, 1220)(848, 1172, 921, 1245)(849, 1173, 915, 1239)(850, 1174, 912, 1236)(851, 1175, 888, 1212)(852, 1176, 929, 1253)(853, 1177, 925, 1249)(854, 1178, 889, 1213)(855, 1179, 874, 1198)(856, 1180, 883, 1207)(857, 1181, 923, 1247)(858, 1182, 903, 1227)(859, 1183, 908, 1232)(861, 1185, 900, 1224)(864, 1188, 938, 1262)(866, 1190, 901, 1225)(869, 1193, 937, 1261)(870, 1194, 892, 1216)(871, 1195, 939, 1263)(872, 1196, 879, 1203)(876, 1200, 945, 1269)(877, 1201, 946, 1270)(880, 1204, 949, 1273)(884, 1208, 953, 1277)(886, 1210, 955, 1279)(890, 1214, 948, 1272)(891, 1215, 942, 1266)(894, 1218, 956, 1280)(895, 1219, 952, 1276)(899, 1223, 950, 1274)(906, 1230, 965, 1289)(911, 1235, 964, 1288)(913, 1237, 966, 1290)(916, 1240, 947, 1271)(917, 1241, 954, 1278)(920, 1244, 943, 1267)(924, 1248, 957, 1281)(927, 1251, 944, 1268)(930, 1254, 951, 1275)(931, 1255, 963, 1287)(932, 1256, 962, 1286)(933, 1257, 968, 1292)(934, 1258, 967, 1291)(935, 1259, 959, 1283)(936, 1260, 958, 1282)(940, 1264, 961, 1285)(941, 1265, 960, 1284)(969, 1293, 972, 1296)(970, 1294, 971, 1295)
	L = (1, 651)(2, 653)(3, 656)(4, 649)(5, 660)(6, 650)(7, 663)(8, 666)(9, 667)(10, 652)(11, 670)(12, 673)(13, 674)(14, 654)(15, 678)(16, 655)(17, 681)(18, 658)(19, 685)(20, 657)(21, 688)(22, 691)(23, 659)(24, 694)(25, 662)(26, 698)(27, 661)(28, 701)(29, 703)(30, 706)(31, 707)(32, 664)(33, 711)(34, 665)(35, 714)(36, 716)(37, 719)(38, 720)(39, 668)(40, 724)(41, 669)(42, 727)(43, 730)(44, 731)(45, 671)(46, 735)(47, 672)(48, 738)(49, 740)(50, 743)(51, 744)(52, 675)(53, 748)(54, 676)(55, 751)(56, 677)(57, 754)(58, 680)(59, 757)(60, 679)(61, 760)(62, 762)(63, 765)(64, 766)(65, 682)(66, 770)(67, 683)(68, 774)(69, 684)(70, 776)(71, 687)(72, 780)(73, 686)(74, 782)(75, 784)(76, 787)(77, 788)(78, 689)(79, 791)(80, 690)(81, 794)(82, 693)(83, 797)(84, 692)(85, 800)(86, 802)(87, 805)(88, 806)(89, 695)(90, 810)(91, 696)(92, 814)(93, 697)(94, 816)(95, 700)(96, 820)(97, 699)(98, 822)(99, 824)(100, 827)(101, 828)(102, 702)(103, 832)(104, 833)(105, 704)(106, 835)(107, 705)(108, 838)(109, 841)(110, 842)(111, 708)(112, 844)(113, 709)(114, 847)(115, 710)(116, 849)(117, 713)(118, 851)(119, 712)(120, 853)(121, 855)(122, 857)(123, 858)(124, 715)(125, 860)(126, 861)(127, 717)(128, 850)(129, 718)(130, 839)(131, 834)(132, 866)(133, 721)(134, 854)(135, 722)(136, 869)(137, 723)(138, 837)(139, 726)(140, 871)(141, 725)(142, 846)(143, 874)(144, 875)(145, 728)(146, 877)(147, 729)(148, 880)(149, 883)(150, 884)(151, 732)(152, 886)(153, 733)(154, 889)(155, 734)(156, 891)(157, 737)(158, 893)(159, 736)(160, 895)(161, 897)(162, 899)(163, 900)(164, 739)(165, 902)(166, 903)(167, 741)(168, 892)(169, 742)(170, 881)(171, 876)(172, 908)(173, 745)(174, 896)(175, 746)(176, 911)(177, 747)(178, 879)(179, 750)(180, 913)(181, 749)(182, 888)(183, 915)(184, 753)(185, 917)(186, 752)(187, 786)(188, 920)(189, 755)(190, 923)(191, 756)(192, 924)(193, 759)(194, 773)(195, 758)(196, 790)(197, 929)(198, 761)(199, 931)(200, 763)(201, 777)(202, 764)(203, 932)(204, 767)(205, 783)(206, 768)(207, 933)(208, 769)(209, 772)(210, 935)(211, 771)(212, 927)(213, 775)(214, 919)(215, 930)(216, 778)(217, 779)(218, 781)(219, 916)(220, 939)(221, 940)(222, 785)(223, 941)(224, 789)(225, 942)(226, 793)(227, 944)(228, 792)(229, 826)(230, 947)(231, 795)(232, 950)(233, 796)(234, 951)(235, 799)(236, 813)(237, 798)(238, 830)(239, 956)(240, 801)(241, 958)(242, 803)(243, 817)(244, 804)(245, 959)(246, 807)(247, 823)(248, 808)(249, 960)(250, 809)(251, 812)(252, 962)(253, 811)(254, 954)(255, 815)(256, 946)(257, 957)(258, 818)(259, 819)(260, 821)(261, 943)(262, 966)(263, 967)(264, 825)(265, 968)(266, 829)(267, 953)(268, 831)(269, 865)(270, 952)(271, 945)(272, 868)(273, 836)(274, 963)(275, 864)(276, 862)(277, 840)(278, 955)(279, 843)(280, 867)(281, 970)(282, 845)(283, 848)(284, 852)(285, 965)(286, 856)(287, 949)(288, 859)(289, 863)(290, 961)(291, 969)(292, 870)(293, 872)(294, 926)(295, 873)(296, 907)(297, 925)(298, 918)(299, 910)(300, 878)(301, 936)(302, 906)(303, 904)(304, 882)(305, 928)(306, 885)(307, 909)(308, 972)(309, 887)(310, 890)(311, 894)(312, 938)(313, 898)(314, 922)(315, 901)(316, 905)(317, 934)(318, 971)(319, 912)(320, 914)(321, 921)(322, 937)(323, 948)(324, 964)(325, 973)(326, 974)(327, 975)(328, 976)(329, 977)(330, 978)(331, 979)(332, 980)(333, 981)(334, 982)(335, 983)(336, 984)(337, 985)(338, 986)(339, 987)(340, 988)(341, 989)(342, 990)(343, 991)(344, 992)(345, 993)(346, 994)(347, 995)(348, 996)(349, 997)(350, 998)(351, 999)(352, 1000)(353, 1001)(354, 1002)(355, 1003)(356, 1004)(357, 1005)(358, 1006)(359, 1007)(360, 1008)(361, 1009)(362, 1010)(363, 1011)(364, 1012)(365, 1013)(366, 1014)(367, 1015)(368, 1016)(369, 1017)(370, 1018)(371, 1019)(372, 1020)(373, 1021)(374, 1022)(375, 1023)(376, 1024)(377, 1025)(378, 1026)(379, 1027)(380, 1028)(381, 1029)(382, 1030)(383, 1031)(384, 1032)(385, 1033)(386, 1034)(387, 1035)(388, 1036)(389, 1037)(390, 1038)(391, 1039)(392, 1040)(393, 1041)(394, 1042)(395, 1043)(396, 1044)(397, 1045)(398, 1046)(399, 1047)(400, 1048)(401, 1049)(402, 1050)(403, 1051)(404, 1052)(405, 1053)(406, 1054)(407, 1055)(408, 1056)(409, 1057)(410, 1058)(411, 1059)(412, 1060)(413, 1061)(414, 1062)(415, 1063)(416, 1064)(417, 1065)(418, 1066)(419, 1067)(420, 1068)(421, 1069)(422, 1070)(423, 1071)(424, 1072)(425, 1073)(426, 1074)(427, 1075)(428, 1076)(429, 1077)(430, 1078)(431, 1079)(432, 1080)(433, 1081)(434, 1082)(435, 1083)(436, 1084)(437, 1085)(438, 1086)(439, 1087)(440, 1088)(441, 1089)(442, 1090)(443, 1091)(444, 1092)(445, 1093)(446, 1094)(447, 1095)(448, 1096)(449, 1097)(450, 1098)(451, 1099)(452, 1100)(453, 1101)(454, 1102)(455, 1103)(456, 1104)(457, 1105)(458, 1106)(459, 1107)(460, 1108)(461, 1109)(462, 1110)(463, 1111)(464, 1112)(465, 1113)(466, 1114)(467, 1115)(468, 1116)(469, 1117)(470, 1118)(471, 1119)(472, 1120)(473, 1121)(474, 1122)(475, 1123)(476, 1124)(477, 1125)(478, 1126)(479, 1127)(480, 1128)(481, 1129)(482, 1130)(483, 1131)(484, 1132)(485, 1133)(486, 1134)(487, 1135)(488, 1136)(489, 1137)(490, 1138)(491, 1139)(492, 1140)(493, 1141)(494, 1142)(495, 1143)(496, 1144)(497, 1145)(498, 1146)(499, 1147)(500, 1148)(501, 1149)(502, 1150)(503, 1151)(504, 1152)(505, 1153)(506, 1154)(507, 1155)(508, 1156)(509, 1157)(510, 1158)(511, 1159)(512, 1160)(513, 1161)(514, 1162)(515, 1163)(516, 1164)(517, 1165)(518, 1166)(519, 1167)(520, 1168)(521, 1169)(522, 1170)(523, 1171)(524, 1172)(525, 1173)(526, 1174)(527, 1175)(528, 1176)(529, 1177)(530, 1178)(531, 1179)(532, 1180)(533, 1181)(534, 1182)(535, 1183)(536, 1184)(537, 1185)(538, 1186)(539, 1187)(540, 1188)(541, 1189)(542, 1190)(543, 1191)(544, 1192)(545, 1193)(546, 1194)(547, 1195)(548, 1196)(549, 1197)(550, 1198)(551, 1199)(552, 1200)(553, 1201)(554, 1202)(555, 1203)(556, 1204)(557, 1205)(558, 1206)(559, 1207)(560, 1208)(561, 1209)(562, 1210)(563, 1211)(564, 1212)(565, 1213)(566, 1214)(567, 1215)(568, 1216)(569, 1217)(570, 1218)(571, 1219)(572, 1220)(573, 1221)(574, 1222)(575, 1223)(576, 1224)(577, 1225)(578, 1226)(579, 1227)(580, 1228)(581, 1229)(582, 1230)(583, 1231)(584, 1232)(585, 1233)(586, 1234)(587, 1235)(588, 1236)(589, 1237)(590, 1238)(591, 1239)(592, 1240)(593, 1241)(594, 1242)(595, 1243)(596, 1244)(597, 1245)(598, 1246)(599, 1247)(600, 1248)(601, 1249)(602, 1250)(603, 1251)(604, 1252)(605, 1253)(606, 1254)(607, 1255)(608, 1256)(609, 1257)(610, 1258)(611, 1259)(612, 1260)(613, 1261)(614, 1262)(615, 1263)(616, 1264)(617, 1265)(618, 1266)(619, 1267)(620, 1268)(621, 1269)(622, 1270)(623, 1271)(624, 1272)(625, 1273)(626, 1274)(627, 1275)(628, 1276)(629, 1277)(630, 1278)(631, 1279)(632, 1280)(633, 1281)(634, 1282)(635, 1283)(636, 1284)(637, 1285)(638, 1286)(639, 1287)(640, 1288)(641, 1289)(642, 1290)(643, 1291)(644, 1292)(645, 1293)(646, 1294)(647, 1295)(648, 1296)
	local type(s) :: { ( 12, 12 ), ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E28.3252
Graph:: simple bipartite
	v = 486 e = 648 f = 108
	degree seq :: [ 2^324, 4^162 ]

E28.3254 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = C3 x ((((C3 x C3) : C3) : C2) : C2) (small group id <324, 117>)
Aut   = $<648, 555>$ (small group id <648, 555>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y1^6, Y3 * Y1^2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^2, (Y3 * Y1 * Y3 * Y1^-1)^3, (Y3 * Y1^-1)^6, Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3, Y3 * Y1 * Y3 * Y1^2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-2 * Y3 * Y1^-1 ]
Map:: polytopal
	R = (1, 325, 2, 326, 5, 329, 11, 335, 10, 334, 4, 328)(3, 327, 7, 331, 15, 339, 29, 353, 18, 342, 8, 332)(6, 330, 13, 337, 25, 349, 48, 372, 28, 352, 14, 338)(9, 333, 19, 343, 36, 360, 68, 392, 39, 363, 20, 344)(12, 336, 23, 347, 44, 368, 83, 407, 47, 371, 24, 348)(16, 340, 31, 355, 58, 382, 108, 432, 61, 385, 32, 356)(17, 341, 33, 357, 62, 386, 114, 438, 65, 389, 34, 358)(21, 345, 40, 364, 75, 399, 132, 456, 78, 402, 41, 365)(22, 346, 42, 366, 79, 403, 137, 461, 82, 406, 43, 367)(26, 350, 50, 374, 93, 417, 159, 483, 96, 420, 51, 375)(27, 351, 52, 376, 97, 421, 164, 488, 100, 424, 53, 377)(30, 354, 56, 380, 84, 408, 145, 469, 107, 431, 57, 381)(35, 359, 66, 390, 89, 413, 154, 478, 122, 446, 67, 391)(37, 361, 70, 394, 125, 449, 201, 525, 127, 451, 71, 395)(38, 362, 72, 396, 128, 452, 205, 529, 130, 454, 73, 397)(45, 369, 85, 409, 146, 470, 227, 551, 149, 473, 86, 410)(46, 370, 87, 411, 150, 474, 231, 555, 153, 477, 88, 412)(49, 373, 91, 415, 138, 462, 124, 448, 69, 393, 92, 416)(54, 378, 101, 425, 143, 467, 131, 455, 74, 398, 102, 426)(55, 379, 103, 427, 171, 495, 248, 572, 174, 498, 104, 428)(59, 383, 110, 434, 181, 505, 244, 568, 183, 507, 111, 435)(60, 384, 98, 422, 166, 490, 218, 542, 185, 509, 112, 436)(63, 387, 116, 440, 148, 472, 221, 545, 191, 515, 117, 441)(64, 388, 118, 442, 192, 516, 247, 571, 161, 485, 94, 418)(76, 400, 133, 457, 210, 534, 281, 605, 212, 536, 134, 458)(77, 401, 135, 459, 213, 537, 269, 593, 214, 538, 136, 460)(80, 404, 139, 463, 216, 540, 284, 608, 219, 543, 140, 464)(81, 405, 141, 465, 220, 544, 286, 610, 223, 547, 142, 466)(90, 414, 155, 479, 237, 561, 190, 514, 240, 564, 156, 480)(95, 419, 151, 475, 233, 557, 207, 531, 129, 453, 162, 486)(99, 423, 167, 491, 254, 578, 188, 512, 229, 553, 147, 471)(105, 429, 175, 499, 261, 585, 206, 530, 263, 587, 176, 500)(106, 430, 177, 501, 264, 588, 287, 611, 266, 590, 178, 502)(109, 433, 157, 481, 241, 565, 189, 513, 115, 439, 180, 504)(113, 437, 186, 510, 260, 584, 194, 518, 119, 443, 187, 511)(120, 444, 195, 519, 276, 600, 285, 609, 277, 601, 196, 520)(121, 445, 168, 492, 250, 574, 163, 487, 249, 573, 197, 521)(123, 447, 198, 522, 262, 586, 184, 508, 270, 594, 199, 523)(126, 450, 202, 526, 239, 563, 179, 503, 267, 591, 203, 527)(144, 468, 224, 548, 288, 612, 253, 577, 289, 613, 225, 549)(152, 476, 234, 558, 297, 621, 251, 575, 172, 496, 217, 541)(158, 482, 242, 566, 299, 623, 283, 607, 301, 625, 243, 567)(160, 484, 226, 550, 290, 614, 252, 576, 165, 489, 245, 569)(169, 493, 256, 580, 307, 631, 282, 606, 308, 632, 257, 581)(170, 494, 235, 559, 293, 617, 230, 554, 292, 616, 258, 582)(173, 497, 259, 583, 294, 618, 238, 562, 211, 535, 222, 546)(182, 506, 265, 589, 296, 620, 275, 599, 193, 517, 215, 539)(200, 524, 278, 602, 295, 619, 232, 556, 291, 615, 228, 552)(204, 528, 279, 603, 298, 622, 236, 560, 208, 532, 280, 604)(209, 533, 246, 570, 300, 624, 274, 598, 306, 630, 255, 579)(268, 592, 313, 637, 317, 641, 304, 628, 322, 646, 314, 638)(271, 595, 303, 627, 318, 642, 316, 640, 324, 648, 315, 639)(272, 596, 312, 636, 319, 643, 310, 634, 323, 647, 302, 626)(273, 597, 305, 629, 320, 644, 311, 635, 321, 645, 309, 633)(649, 973)(650, 974)(651, 975)(652, 976)(653, 977)(654, 978)(655, 979)(656, 980)(657, 981)(658, 982)(659, 983)(660, 984)(661, 985)(662, 986)(663, 987)(664, 988)(665, 989)(666, 990)(667, 991)(668, 992)(669, 993)(670, 994)(671, 995)(672, 996)(673, 997)(674, 998)(675, 999)(676, 1000)(677, 1001)(678, 1002)(679, 1003)(680, 1004)(681, 1005)(682, 1006)(683, 1007)(684, 1008)(685, 1009)(686, 1010)(687, 1011)(688, 1012)(689, 1013)(690, 1014)(691, 1015)(692, 1016)(693, 1017)(694, 1018)(695, 1019)(696, 1020)(697, 1021)(698, 1022)(699, 1023)(700, 1024)(701, 1025)(702, 1026)(703, 1027)(704, 1028)(705, 1029)(706, 1030)(707, 1031)(708, 1032)(709, 1033)(710, 1034)(711, 1035)(712, 1036)(713, 1037)(714, 1038)(715, 1039)(716, 1040)(717, 1041)(718, 1042)(719, 1043)(720, 1044)(721, 1045)(722, 1046)(723, 1047)(724, 1048)(725, 1049)(726, 1050)(727, 1051)(728, 1052)(729, 1053)(730, 1054)(731, 1055)(732, 1056)(733, 1057)(734, 1058)(735, 1059)(736, 1060)(737, 1061)(738, 1062)(739, 1063)(740, 1064)(741, 1065)(742, 1066)(743, 1067)(744, 1068)(745, 1069)(746, 1070)(747, 1071)(748, 1072)(749, 1073)(750, 1074)(751, 1075)(752, 1076)(753, 1077)(754, 1078)(755, 1079)(756, 1080)(757, 1081)(758, 1082)(759, 1083)(760, 1084)(761, 1085)(762, 1086)(763, 1087)(764, 1088)(765, 1089)(766, 1090)(767, 1091)(768, 1092)(769, 1093)(770, 1094)(771, 1095)(772, 1096)(773, 1097)(774, 1098)(775, 1099)(776, 1100)(777, 1101)(778, 1102)(779, 1103)(780, 1104)(781, 1105)(782, 1106)(783, 1107)(784, 1108)(785, 1109)(786, 1110)(787, 1111)(788, 1112)(789, 1113)(790, 1114)(791, 1115)(792, 1116)(793, 1117)(794, 1118)(795, 1119)(796, 1120)(797, 1121)(798, 1122)(799, 1123)(800, 1124)(801, 1125)(802, 1126)(803, 1127)(804, 1128)(805, 1129)(806, 1130)(807, 1131)(808, 1132)(809, 1133)(810, 1134)(811, 1135)(812, 1136)(813, 1137)(814, 1138)(815, 1139)(816, 1140)(817, 1141)(818, 1142)(819, 1143)(820, 1144)(821, 1145)(822, 1146)(823, 1147)(824, 1148)(825, 1149)(826, 1150)(827, 1151)(828, 1152)(829, 1153)(830, 1154)(831, 1155)(832, 1156)(833, 1157)(834, 1158)(835, 1159)(836, 1160)(837, 1161)(838, 1162)(839, 1163)(840, 1164)(841, 1165)(842, 1166)(843, 1167)(844, 1168)(845, 1169)(846, 1170)(847, 1171)(848, 1172)(849, 1173)(850, 1174)(851, 1175)(852, 1176)(853, 1177)(854, 1178)(855, 1179)(856, 1180)(857, 1181)(858, 1182)(859, 1183)(860, 1184)(861, 1185)(862, 1186)(863, 1187)(864, 1188)(865, 1189)(866, 1190)(867, 1191)(868, 1192)(869, 1193)(870, 1194)(871, 1195)(872, 1196)(873, 1197)(874, 1198)(875, 1199)(876, 1200)(877, 1201)(878, 1202)(879, 1203)(880, 1204)(881, 1205)(882, 1206)(883, 1207)(884, 1208)(885, 1209)(886, 1210)(887, 1211)(888, 1212)(889, 1213)(890, 1214)(891, 1215)(892, 1216)(893, 1217)(894, 1218)(895, 1219)(896, 1220)(897, 1221)(898, 1222)(899, 1223)(900, 1224)(901, 1225)(902, 1226)(903, 1227)(904, 1228)(905, 1229)(906, 1230)(907, 1231)(908, 1232)(909, 1233)(910, 1234)(911, 1235)(912, 1236)(913, 1237)(914, 1238)(915, 1239)(916, 1240)(917, 1241)(918, 1242)(919, 1243)(920, 1244)(921, 1245)(922, 1246)(923, 1247)(924, 1248)(925, 1249)(926, 1250)(927, 1251)(928, 1252)(929, 1253)(930, 1254)(931, 1255)(932, 1256)(933, 1257)(934, 1258)(935, 1259)(936, 1260)(937, 1261)(938, 1262)(939, 1263)(940, 1264)(941, 1265)(942, 1266)(943, 1267)(944, 1268)(945, 1269)(946, 1270)(947, 1271)(948, 1272)(949, 1273)(950, 1274)(951, 1275)(952, 1276)(953, 1277)(954, 1278)(955, 1279)(956, 1280)(957, 1281)(958, 1282)(959, 1283)(960, 1284)(961, 1285)(962, 1286)(963, 1287)(964, 1288)(965, 1289)(966, 1290)(967, 1291)(968, 1292)(969, 1293)(970, 1294)(971, 1295)(972, 1296)
	L = (1, 651)(2, 654)(3, 649)(4, 657)(5, 660)(6, 650)(7, 664)(8, 665)(9, 652)(10, 669)(11, 670)(12, 653)(13, 674)(14, 675)(15, 678)(16, 655)(17, 656)(18, 683)(19, 685)(20, 686)(21, 658)(22, 659)(23, 693)(24, 694)(25, 697)(26, 661)(27, 662)(28, 702)(29, 703)(30, 663)(31, 707)(32, 708)(33, 711)(34, 712)(35, 666)(36, 717)(37, 667)(38, 668)(39, 722)(40, 724)(41, 725)(42, 728)(43, 729)(44, 732)(45, 671)(46, 672)(47, 737)(48, 738)(49, 673)(50, 742)(51, 743)(52, 746)(53, 747)(54, 676)(55, 677)(56, 753)(57, 754)(58, 757)(59, 679)(60, 680)(61, 761)(62, 763)(63, 681)(64, 682)(65, 767)(66, 768)(67, 769)(68, 771)(69, 684)(70, 774)(71, 765)(72, 777)(73, 758)(74, 687)(75, 755)(76, 688)(77, 689)(78, 770)(79, 786)(80, 690)(81, 691)(82, 791)(83, 792)(84, 692)(85, 795)(86, 796)(87, 799)(88, 800)(89, 695)(90, 696)(91, 805)(92, 806)(93, 808)(94, 698)(95, 699)(96, 811)(97, 813)(98, 700)(99, 701)(100, 816)(101, 817)(102, 818)(103, 820)(104, 821)(105, 704)(106, 705)(107, 723)(108, 827)(109, 706)(110, 721)(111, 830)(112, 832)(113, 709)(114, 836)(115, 710)(116, 838)(117, 719)(118, 841)(119, 713)(120, 714)(121, 715)(122, 726)(123, 716)(124, 848)(125, 824)(126, 718)(127, 852)(128, 854)(129, 720)(130, 856)(131, 842)(132, 857)(133, 859)(134, 855)(135, 833)(136, 850)(137, 863)(138, 727)(139, 865)(140, 866)(141, 869)(142, 870)(143, 730)(144, 731)(145, 874)(146, 876)(147, 733)(148, 734)(149, 878)(150, 880)(151, 735)(152, 736)(153, 883)(154, 884)(155, 886)(156, 887)(157, 739)(158, 740)(159, 892)(160, 741)(161, 894)(162, 896)(163, 744)(164, 899)(165, 745)(166, 901)(167, 903)(168, 748)(169, 749)(170, 750)(171, 889)(172, 751)(173, 752)(174, 908)(175, 910)(176, 773)(177, 913)(178, 864)(179, 756)(180, 916)(181, 873)(182, 759)(183, 917)(184, 760)(185, 783)(186, 919)(187, 920)(188, 762)(189, 921)(190, 764)(191, 922)(192, 875)(193, 766)(194, 779)(195, 871)(196, 923)(197, 888)(198, 877)(199, 882)(200, 772)(201, 907)(202, 784)(203, 872)(204, 775)(205, 895)(206, 776)(207, 782)(208, 778)(209, 780)(210, 891)(211, 781)(212, 930)(213, 931)(214, 904)(215, 785)(216, 826)(217, 787)(218, 788)(219, 933)(220, 935)(221, 789)(222, 790)(223, 843)(224, 851)(225, 829)(226, 793)(227, 840)(228, 794)(229, 846)(230, 797)(231, 942)(232, 798)(233, 944)(234, 847)(235, 801)(236, 802)(237, 938)(238, 803)(239, 804)(240, 845)(241, 819)(242, 948)(243, 858)(244, 807)(245, 950)(246, 809)(247, 853)(248, 810)(249, 951)(250, 952)(251, 812)(252, 953)(253, 814)(254, 932)(255, 815)(256, 862)(257, 954)(258, 937)(259, 849)(260, 822)(261, 957)(262, 823)(263, 958)(264, 959)(265, 825)(266, 960)(267, 934)(268, 828)(269, 831)(270, 946)(271, 834)(272, 835)(273, 837)(274, 839)(275, 844)(276, 962)(277, 964)(278, 936)(279, 963)(280, 961)(281, 945)(282, 860)(283, 861)(284, 902)(285, 867)(286, 915)(287, 868)(288, 926)(289, 906)(290, 885)(291, 965)(292, 966)(293, 967)(294, 879)(295, 968)(296, 881)(297, 929)(298, 918)(299, 969)(300, 890)(301, 970)(302, 893)(303, 897)(304, 898)(305, 900)(306, 905)(307, 971)(308, 972)(309, 909)(310, 911)(311, 912)(312, 914)(313, 928)(314, 924)(315, 927)(316, 925)(317, 939)(318, 940)(319, 941)(320, 943)(321, 947)(322, 949)(323, 955)(324, 956)(325, 973)(326, 974)(327, 975)(328, 976)(329, 977)(330, 978)(331, 979)(332, 980)(333, 981)(334, 982)(335, 983)(336, 984)(337, 985)(338, 986)(339, 987)(340, 988)(341, 989)(342, 990)(343, 991)(344, 992)(345, 993)(346, 994)(347, 995)(348, 996)(349, 997)(350, 998)(351, 999)(352, 1000)(353, 1001)(354, 1002)(355, 1003)(356, 1004)(357, 1005)(358, 1006)(359, 1007)(360, 1008)(361, 1009)(362, 1010)(363, 1011)(364, 1012)(365, 1013)(366, 1014)(367, 1015)(368, 1016)(369, 1017)(370, 1018)(371, 1019)(372, 1020)(373, 1021)(374, 1022)(375, 1023)(376, 1024)(377, 1025)(378, 1026)(379, 1027)(380, 1028)(381, 1029)(382, 1030)(383, 1031)(384, 1032)(385, 1033)(386, 1034)(387, 1035)(388, 1036)(389, 1037)(390, 1038)(391, 1039)(392, 1040)(393, 1041)(394, 1042)(395, 1043)(396, 1044)(397, 1045)(398, 1046)(399, 1047)(400, 1048)(401, 1049)(402, 1050)(403, 1051)(404, 1052)(405, 1053)(406, 1054)(407, 1055)(408, 1056)(409, 1057)(410, 1058)(411, 1059)(412, 1060)(413, 1061)(414, 1062)(415, 1063)(416, 1064)(417, 1065)(418, 1066)(419, 1067)(420, 1068)(421, 1069)(422, 1070)(423, 1071)(424, 1072)(425, 1073)(426, 1074)(427, 1075)(428, 1076)(429, 1077)(430, 1078)(431, 1079)(432, 1080)(433, 1081)(434, 1082)(435, 1083)(436, 1084)(437, 1085)(438, 1086)(439, 1087)(440, 1088)(441, 1089)(442, 1090)(443, 1091)(444, 1092)(445, 1093)(446, 1094)(447, 1095)(448, 1096)(449, 1097)(450, 1098)(451, 1099)(452, 1100)(453, 1101)(454, 1102)(455, 1103)(456, 1104)(457, 1105)(458, 1106)(459, 1107)(460, 1108)(461, 1109)(462, 1110)(463, 1111)(464, 1112)(465, 1113)(466, 1114)(467, 1115)(468, 1116)(469, 1117)(470, 1118)(471, 1119)(472, 1120)(473, 1121)(474, 1122)(475, 1123)(476, 1124)(477, 1125)(478, 1126)(479, 1127)(480, 1128)(481, 1129)(482, 1130)(483, 1131)(484, 1132)(485, 1133)(486, 1134)(487, 1135)(488, 1136)(489, 1137)(490, 1138)(491, 1139)(492, 1140)(493, 1141)(494, 1142)(495, 1143)(496, 1144)(497, 1145)(498, 1146)(499, 1147)(500, 1148)(501, 1149)(502, 1150)(503, 1151)(504, 1152)(505, 1153)(506, 1154)(507, 1155)(508, 1156)(509, 1157)(510, 1158)(511, 1159)(512, 1160)(513, 1161)(514, 1162)(515, 1163)(516, 1164)(517, 1165)(518, 1166)(519, 1167)(520, 1168)(521, 1169)(522, 1170)(523, 1171)(524, 1172)(525, 1173)(526, 1174)(527, 1175)(528, 1176)(529, 1177)(530, 1178)(531, 1179)(532, 1180)(533, 1181)(534, 1182)(535, 1183)(536, 1184)(537, 1185)(538, 1186)(539, 1187)(540, 1188)(541, 1189)(542, 1190)(543, 1191)(544, 1192)(545, 1193)(546, 1194)(547, 1195)(548, 1196)(549, 1197)(550, 1198)(551, 1199)(552, 1200)(553, 1201)(554, 1202)(555, 1203)(556, 1204)(557, 1205)(558, 1206)(559, 1207)(560, 1208)(561, 1209)(562, 1210)(563, 1211)(564, 1212)(565, 1213)(566, 1214)(567, 1215)(568, 1216)(569, 1217)(570, 1218)(571, 1219)(572, 1220)(573, 1221)(574, 1222)(575, 1223)(576, 1224)(577, 1225)(578, 1226)(579, 1227)(580, 1228)(581, 1229)(582, 1230)(583, 1231)(584, 1232)(585, 1233)(586, 1234)(587, 1235)(588, 1236)(589, 1237)(590, 1238)(591, 1239)(592, 1240)(593, 1241)(594, 1242)(595, 1243)(596, 1244)(597, 1245)(598, 1246)(599, 1247)(600, 1248)(601, 1249)(602, 1250)(603, 1251)(604, 1252)(605, 1253)(606, 1254)(607, 1255)(608, 1256)(609, 1257)(610, 1258)(611, 1259)(612, 1260)(613, 1261)(614, 1262)(615, 1263)(616, 1264)(617, 1265)(618, 1266)(619, 1267)(620, 1268)(621, 1269)(622, 1270)(623, 1271)(624, 1272)(625, 1273)(626, 1274)(627, 1275)(628, 1276)(629, 1277)(630, 1278)(631, 1279)(632, 1280)(633, 1281)(634, 1282)(635, 1283)(636, 1284)(637, 1285)(638, 1286)(639, 1287)(640, 1288)(641, 1289)(642, 1290)(643, 1291)(644, 1292)(645, 1293)(646, 1294)(647, 1295)(648, 1296)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3250
Graph:: simple bipartite
	v = 378 e = 648 f = 216
	degree seq :: [ 2^324, 12^54 ]

E28.3255 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = S3 x (((C3 x C3) : C3) : C2) (small group id <324, 116>)
Aut   = $<648, 555>$ (small group id <648, 555>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y3^2 * Y1 * Y3^-2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^6, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, (Y3^-1 * Y1^-1)^6, Y3 * Y1^-3 * Y3^-1 * Y1^2 * Y3 * Y1^-3 * Y3^-1 * Y1^-2, Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^2 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1^-2 * Y3^-1, Y3 * Y1^-1 * Y3^-1 * Y1^2 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^2 * Y3 * Y1^-1, Y3 * Y1^2 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: polytopal
	R = (1, 325, 2, 326, 5, 329, 11, 335, 10, 334, 4, 328)(3, 327, 7, 331, 15, 339, 29, 353, 18, 342, 8, 332)(6, 330, 13, 337, 25, 349, 48, 372, 28, 352, 14, 338)(9, 333, 19, 343, 36, 360, 68, 392, 39, 363, 20, 344)(12, 336, 23, 347, 44, 368, 83, 407, 47, 371, 24, 348)(16, 340, 31, 355, 58, 382, 109, 433, 61, 385, 32, 356)(17, 341, 33, 357, 62, 386, 115, 439, 65, 389, 34, 358)(21, 345, 40, 364, 75, 399, 136, 460, 78, 402, 41, 365)(22, 346, 42, 366, 79, 403, 143, 467, 82, 406, 43, 367)(26, 350, 50, 374, 93, 417, 169, 493, 96, 420, 51, 375)(27, 351, 52, 376, 97, 421, 174, 498, 100, 424, 53, 377)(30, 354, 56, 380, 105, 429, 144, 468, 108, 432, 57, 381)(35, 359, 66, 390, 121, 445, 149, 473, 124, 448, 67, 391)(37, 361, 70, 394, 128, 452, 214, 538, 130, 454, 71, 395)(38, 362, 72, 396, 131, 455, 217, 541, 133, 457, 73, 397)(45, 369, 85, 409, 153, 477, 237, 561, 156, 480, 86, 410)(46, 370, 87, 411, 157, 481, 241, 565, 160, 484, 88, 412)(49, 373, 91, 415, 165, 489, 137, 461, 168, 492, 92, 416)(54, 378, 101, 425, 179, 503, 142, 466, 182, 506, 102, 426)(55, 379, 103, 427, 150, 474, 234, 558, 185, 509, 104, 428)(59, 383, 111, 435, 193, 517, 227, 551, 159, 483, 112, 436)(60, 384, 98, 422, 176, 500, 228, 552, 196, 520, 113, 437)(63, 387, 117, 441, 155, 479, 231, 555, 202, 526, 118, 442)(64, 388, 119, 443, 203, 527, 232, 556, 171, 495, 94, 418)(69, 393, 126, 450, 152, 476, 84, 408, 151, 475, 127, 451)(74, 398, 134, 458, 162, 486, 89, 413, 161, 485, 135, 459)(76, 400, 138, 462, 221, 545, 292, 616, 222, 546, 139, 463)(77, 401, 140, 464, 223, 547, 293, 617, 224, 548, 141, 465)(80, 404, 145, 469, 226, 550, 294, 618, 229, 553, 146, 470)(81, 405, 147, 471, 230, 554, 297, 621, 233, 557, 148, 472)(90, 414, 163, 487, 225, 549, 212, 536, 125, 449, 164, 488)(95, 419, 158, 482, 243, 567, 218, 542, 132, 456, 172, 496)(99, 423, 177, 501, 129, 453, 215, 539, 239, 563, 154, 478)(106, 430, 187, 511, 246, 570, 299, 623, 271, 595, 188, 512)(107, 431, 189, 513, 266, 590, 298, 622, 257, 581, 173, 497)(110, 434, 166, 490, 250, 574, 207, 531, 276, 600, 192, 516)(114, 438, 197, 521, 280, 604, 211, 535, 242, 566, 198, 522)(116, 440, 200, 524, 269, 593, 186, 510, 264, 588, 180, 504)(120, 444, 205, 529, 238, 562, 190, 514, 273, 597, 206, 530)(122, 446, 208, 532, 288, 612, 296, 620, 236, 560, 209, 533)(123, 447, 178, 502, 262, 586, 295, 619, 252, 576, 210, 534)(167, 491, 251, 575, 220, 544, 291, 615, 304, 628, 240, 564)(170, 494, 235, 559, 301, 625, 263, 587, 219, 543, 254, 578)(175, 499, 259, 583, 216, 540, 249, 573, 308, 632, 245, 569)(181, 505, 244, 568, 307, 631, 290, 614, 213, 537, 265, 589)(183, 507, 253, 577, 311, 635, 289, 613, 316, 640, 258, 582)(184, 508, 267, 591, 305, 629, 247, 571, 302, 626, 268, 592)(191, 515, 274, 598, 300, 624, 282, 606, 199, 523, 248, 572)(194, 518, 272, 596, 303, 627, 286, 610, 204, 528, 278, 602)(195, 519, 279, 603, 201, 525, 284, 608, 306, 630, 270, 594)(255, 579, 310, 634, 277, 601, 319, 643, 261, 585, 313, 637)(256, 580, 314, 638, 260, 584, 318, 642, 285, 609, 309, 633)(275, 599, 312, 636, 287, 611, 320, 644, 324, 648, 321, 645)(281, 605, 315, 639, 323, 647, 322, 646, 283, 607, 317, 641)(649, 973)(650, 974)(651, 975)(652, 976)(653, 977)(654, 978)(655, 979)(656, 980)(657, 981)(658, 982)(659, 983)(660, 984)(661, 985)(662, 986)(663, 987)(664, 988)(665, 989)(666, 990)(667, 991)(668, 992)(669, 993)(670, 994)(671, 995)(672, 996)(673, 997)(674, 998)(675, 999)(676, 1000)(677, 1001)(678, 1002)(679, 1003)(680, 1004)(681, 1005)(682, 1006)(683, 1007)(684, 1008)(685, 1009)(686, 1010)(687, 1011)(688, 1012)(689, 1013)(690, 1014)(691, 1015)(692, 1016)(693, 1017)(694, 1018)(695, 1019)(696, 1020)(697, 1021)(698, 1022)(699, 1023)(700, 1024)(701, 1025)(702, 1026)(703, 1027)(704, 1028)(705, 1029)(706, 1030)(707, 1031)(708, 1032)(709, 1033)(710, 1034)(711, 1035)(712, 1036)(713, 1037)(714, 1038)(715, 1039)(716, 1040)(717, 1041)(718, 1042)(719, 1043)(720, 1044)(721, 1045)(722, 1046)(723, 1047)(724, 1048)(725, 1049)(726, 1050)(727, 1051)(728, 1052)(729, 1053)(730, 1054)(731, 1055)(732, 1056)(733, 1057)(734, 1058)(735, 1059)(736, 1060)(737, 1061)(738, 1062)(739, 1063)(740, 1064)(741, 1065)(742, 1066)(743, 1067)(744, 1068)(745, 1069)(746, 1070)(747, 1071)(748, 1072)(749, 1073)(750, 1074)(751, 1075)(752, 1076)(753, 1077)(754, 1078)(755, 1079)(756, 1080)(757, 1081)(758, 1082)(759, 1083)(760, 1084)(761, 1085)(762, 1086)(763, 1087)(764, 1088)(765, 1089)(766, 1090)(767, 1091)(768, 1092)(769, 1093)(770, 1094)(771, 1095)(772, 1096)(773, 1097)(774, 1098)(775, 1099)(776, 1100)(777, 1101)(778, 1102)(779, 1103)(780, 1104)(781, 1105)(782, 1106)(783, 1107)(784, 1108)(785, 1109)(786, 1110)(787, 1111)(788, 1112)(789, 1113)(790, 1114)(791, 1115)(792, 1116)(793, 1117)(794, 1118)(795, 1119)(796, 1120)(797, 1121)(798, 1122)(799, 1123)(800, 1124)(801, 1125)(802, 1126)(803, 1127)(804, 1128)(805, 1129)(806, 1130)(807, 1131)(808, 1132)(809, 1133)(810, 1134)(811, 1135)(812, 1136)(813, 1137)(814, 1138)(815, 1139)(816, 1140)(817, 1141)(818, 1142)(819, 1143)(820, 1144)(821, 1145)(822, 1146)(823, 1147)(824, 1148)(825, 1149)(826, 1150)(827, 1151)(828, 1152)(829, 1153)(830, 1154)(831, 1155)(832, 1156)(833, 1157)(834, 1158)(835, 1159)(836, 1160)(837, 1161)(838, 1162)(839, 1163)(840, 1164)(841, 1165)(842, 1166)(843, 1167)(844, 1168)(845, 1169)(846, 1170)(847, 1171)(848, 1172)(849, 1173)(850, 1174)(851, 1175)(852, 1176)(853, 1177)(854, 1178)(855, 1179)(856, 1180)(857, 1181)(858, 1182)(859, 1183)(860, 1184)(861, 1185)(862, 1186)(863, 1187)(864, 1188)(865, 1189)(866, 1190)(867, 1191)(868, 1192)(869, 1193)(870, 1194)(871, 1195)(872, 1196)(873, 1197)(874, 1198)(875, 1199)(876, 1200)(877, 1201)(878, 1202)(879, 1203)(880, 1204)(881, 1205)(882, 1206)(883, 1207)(884, 1208)(885, 1209)(886, 1210)(887, 1211)(888, 1212)(889, 1213)(890, 1214)(891, 1215)(892, 1216)(893, 1217)(894, 1218)(895, 1219)(896, 1220)(897, 1221)(898, 1222)(899, 1223)(900, 1224)(901, 1225)(902, 1226)(903, 1227)(904, 1228)(905, 1229)(906, 1230)(907, 1231)(908, 1232)(909, 1233)(910, 1234)(911, 1235)(912, 1236)(913, 1237)(914, 1238)(915, 1239)(916, 1240)(917, 1241)(918, 1242)(919, 1243)(920, 1244)(921, 1245)(922, 1246)(923, 1247)(924, 1248)(925, 1249)(926, 1250)(927, 1251)(928, 1252)(929, 1253)(930, 1254)(931, 1255)(932, 1256)(933, 1257)(934, 1258)(935, 1259)(936, 1260)(937, 1261)(938, 1262)(939, 1263)(940, 1264)(941, 1265)(942, 1266)(943, 1267)(944, 1268)(945, 1269)(946, 1270)(947, 1271)(948, 1272)(949, 1273)(950, 1274)(951, 1275)(952, 1276)(953, 1277)(954, 1278)(955, 1279)(956, 1280)(957, 1281)(958, 1282)(959, 1283)(960, 1284)(961, 1285)(962, 1286)(963, 1287)(964, 1288)(965, 1289)(966, 1290)(967, 1291)(968, 1292)(969, 1293)(970, 1294)(971, 1295)(972, 1296)
	L = (1, 651)(2, 654)(3, 649)(4, 657)(5, 660)(6, 650)(7, 664)(8, 665)(9, 652)(10, 669)(11, 670)(12, 653)(13, 674)(14, 675)(15, 678)(16, 655)(17, 656)(18, 683)(19, 685)(20, 686)(21, 658)(22, 659)(23, 693)(24, 694)(25, 697)(26, 661)(27, 662)(28, 702)(29, 703)(30, 663)(31, 707)(32, 708)(33, 711)(34, 712)(35, 666)(36, 717)(37, 667)(38, 668)(39, 722)(40, 724)(41, 725)(42, 728)(43, 729)(44, 732)(45, 671)(46, 672)(47, 737)(48, 738)(49, 673)(50, 742)(51, 743)(52, 746)(53, 747)(54, 676)(55, 677)(56, 754)(57, 755)(58, 758)(59, 679)(60, 680)(61, 762)(62, 764)(63, 681)(64, 682)(65, 768)(66, 770)(67, 771)(68, 773)(69, 684)(70, 777)(71, 766)(72, 780)(73, 759)(74, 687)(75, 785)(76, 688)(77, 689)(78, 790)(79, 792)(80, 690)(81, 691)(82, 797)(83, 798)(84, 692)(85, 802)(86, 803)(87, 806)(88, 807)(89, 695)(90, 696)(91, 814)(92, 815)(93, 818)(94, 698)(95, 699)(96, 821)(97, 823)(98, 700)(99, 701)(100, 826)(101, 828)(102, 829)(103, 831)(104, 832)(105, 834)(106, 704)(107, 705)(108, 838)(109, 839)(110, 706)(111, 721)(112, 842)(113, 843)(114, 709)(115, 847)(116, 710)(117, 849)(118, 719)(119, 852)(120, 713)(121, 855)(122, 714)(123, 715)(124, 859)(125, 716)(126, 861)(127, 845)(128, 836)(129, 718)(130, 864)(131, 856)(132, 720)(133, 867)(134, 868)(135, 854)(136, 833)(137, 723)(138, 851)(139, 866)(140, 844)(141, 863)(142, 726)(143, 873)(144, 727)(145, 875)(146, 876)(147, 879)(148, 880)(149, 730)(150, 731)(151, 883)(152, 884)(153, 886)(154, 733)(155, 734)(156, 888)(157, 890)(158, 735)(159, 736)(160, 892)(161, 893)(162, 894)(163, 895)(164, 896)(165, 897)(166, 739)(167, 740)(168, 900)(169, 901)(170, 741)(171, 903)(172, 904)(173, 744)(174, 906)(175, 745)(176, 908)(177, 909)(178, 748)(179, 911)(180, 749)(181, 750)(182, 914)(183, 751)(184, 752)(185, 784)(186, 753)(187, 918)(188, 776)(189, 920)(190, 756)(191, 757)(192, 923)(193, 925)(194, 760)(195, 761)(196, 788)(197, 775)(198, 929)(199, 763)(200, 931)(201, 765)(202, 933)(203, 786)(204, 767)(205, 935)(206, 783)(207, 769)(208, 779)(209, 934)(210, 932)(211, 772)(212, 937)(213, 774)(214, 915)(215, 789)(216, 778)(217, 916)(218, 787)(219, 781)(220, 782)(221, 938)(222, 917)(223, 939)(224, 924)(225, 791)(226, 943)(227, 793)(228, 794)(229, 944)(230, 946)(231, 795)(232, 796)(233, 947)(234, 948)(235, 799)(236, 800)(237, 950)(238, 801)(239, 951)(240, 804)(241, 953)(242, 805)(243, 954)(244, 808)(245, 809)(246, 810)(247, 811)(248, 812)(249, 813)(250, 957)(251, 958)(252, 816)(253, 817)(254, 960)(255, 819)(256, 820)(257, 963)(258, 822)(259, 965)(260, 824)(261, 825)(262, 968)(263, 827)(264, 967)(265, 966)(266, 830)(267, 862)(268, 865)(269, 870)(270, 835)(271, 969)(272, 837)(273, 962)(274, 945)(275, 840)(276, 872)(277, 841)(278, 956)(279, 949)(280, 961)(281, 846)(282, 942)(283, 848)(284, 858)(285, 850)(286, 857)(287, 853)(288, 970)(289, 860)(290, 869)(291, 871)(292, 964)(293, 959)(294, 930)(295, 874)(296, 877)(297, 922)(298, 878)(299, 881)(300, 882)(301, 927)(302, 885)(303, 887)(304, 971)(305, 889)(306, 891)(307, 972)(308, 926)(309, 898)(310, 899)(311, 941)(312, 902)(313, 928)(314, 921)(315, 905)(316, 940)(317, 907)(318, 913)(319, 912)(320, 910)(321, 919)(322, 936)(323, 952)(324, 955)(325, 973)(326, 974)(327, 975)(328, 976)(329, 977)(330, 978)(331, 979)(332, 980)(333, 981)(334, 982)(335, 983)(336, 984)(337, 985)(338, 986)(339, 987)(340, 988)(341, 989)(342, 990)(343, 991)(344, 992)(345, 993)(346, 994)(347, 995)(348, 996)(349, 997)(350, 998)(351, 999)(352, 1000)(353, 1001)(354, 1002)(355, 1003)(356, 1004)(357, 1005)(358, 1006)(359, 1007)(360, 1008)(361, 1009)(362, 1010)(363, 1011)(364, 1012)(365, 1013)(366, 1014)(367, 1015)(368, 1016)(369, 1017)(370, 1018)(371, 1019)(372, 1020)(373, 1021)(374, 1022)(375, 1023)(376, 1024)(377, 1025)(378, 1026)(379, 1027)(380, 1028)(381, 1029)(382, 1030)(383, 1031)(384, 1032)(385, 1033)(386, 1034)(387, 1035)(388, 1036)(389, 1037)(390, 1038)(391, 1039)(392, 1040)(393, 1041)(394, 1042)(395, 1043)(396, 1044)(397, 1045)(398, 1046)(399, 1047)(400, 1048)(401, 1049)(402, 1050)(403, 1051)(404, 1052)(405, 1053)(406, 1054)(407, 1055)(408, 1056)(409, 1057)(410, 1058)(411, 1059)(412, 1060)(413, 1061)(414, 1062)(415, 1063)(416, 1064)(417, 1065)(418, 1066)(419, 1067)(420, 1068)(421, 1069)(422, 1070)(423, 1071)(424, 1072)(425, 1073)(426, 1074)(427, 1075)(428, 1076)(429, 1077)(430, 1078)(431, 1079)(432, 1080)(433, 1081)(434, 1082)(435, 1083)(436, 1084)(437, 1085)(438, 1086)(439, 1087)(440, 1088)(441, 1089)(442, 1090)(443, 1091)(444, 1092)(445, 1093)(446, 1094)(447, 1095)(448, 1096)(449, 1097)(450, 1098)(451, 1099)(452, 1100)(453, 1101)(454, 1102)(455, 1103)(456, 1104)(457, 1105)(458, 1106)(459, 1107)(460, 1108)(461, 1109)(462, 1110)(463, 1111)(464, 1112)(465, 1113)(466, 1114)(467, 1115)(468, 1116)(469, 1117)(470, 1118)(471, 1119)(472, 1120)(473, 1121)(474, 1122)(475, 1123)(476, 1124)(477, 1125)(478, 1126)(479, 1127)(480, 1128)(481, 1129)(482, 1130)(483, 1131)(484, 1132)(485, 1133)(486, 1134)(487, 1135)(488, 1136)(489, 1137)(490, 1138)(491, 1139)(492, 1140)(493, 1141)(494, 1142)(495, 1143)(496, 1144)(497, 1145)(498, 1146)(499, 1147)(500, 1148)(501, 1149)(502, 1150)(503, 1151)(504, 1152)(505, 1153)(506, 1154)(507, 1155)(508, 1156)(509, 1157)(510, 1158)(511, 1159)(512, 1160)(513, 1161)(514, 1162)(515, 1163)(516, 1164)(517, 1165)(518, 1166)(519, 1167)(520, 1168)(521, 1169)(522, 1170)(523, 1171)(524, 1172)(525, 1173)(526, 1174)(527, 1175)(528, 1176)(529, 1177)(530, 1178)(531, 1179)(532, 1180)(533, 1181)(534, 1182)(535, 1183)(536, 1184)(537, 1185)(538, 1186)(539, 1187)(540, 1188)(541, 1189)(542, 1190)(543, 1191)(544, 1192)(545, 1193)(546, 1194)(547, 1195)(548, 1196)(549, 1197)(550, 1198)(551, 1199)(552, 1200)(553, 1201)(554, 1202)(555, 1203)(556, 1204)(557, 1205)(558, 1206)(559, 1207)(560, 1208)(561, 1209)(562, 1210)(563, 1211)(564, 1212)(565, 1213)(566, 1214)(567, 1215)(568, 1216)(569, 1217)(570, 1218)(571, 1219)(572, 1220)(573, 1221)(574, 1222)(575, 1223)(576, 1224)(577, 1225)(578, 1226)(579, 1227)(580, 1228)(581, 1229)(582, 1230)(583, 1231)(584, 1232)(585, 1233)(586, 1234)(587, 1235)(588, 1236)(589, 1237)(590, 1238)(591, 1239)(592, 1240)(593, 1241)(594, 1242)(595, 1243)(596, 1244)(597, 1245)(598, 1246)(599, 1247)(600, 1248)(601, 1249)(602, 1250)(603, 1251)(604, 1252)(605, 1253)(606, 1254)(607, 1255)(608, 1256)(609, 1257)(610, 1258)(611, 1259)(612, 1260)(613, 1261)(614, 1262)(615, 1263)(616, 1264)(617, 1265)(618, 1266)(619, 1267)(620, 1268)(621, 1269)(622, 1270)(623, 1271)(624, 1272)(625, 1273)(626, 1274)(627, 1275)(628, 1276)(629, 1277)(630, 1278)(631, 1279)(632, 1280)(633, 1281)(634, 1282)(635, 1283)(636, 1284)(637, 1285)(638, 1286)(639, 1287)(640, 1288)(641, 1289)(642, 1290)(643, 1291)(644, 1292)(645, 1293)(646, 1294)(647, 1295)(648, 1296)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3251
Graph:: simple bipartite
	v = 378 e = 648 f = 216
	degree seq :: [ 2^324, 12^54 ]

E28.3256 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = S3 x (((C3 x C3) : C3) : C2) (small group id <324, 116>)
Aut   = $<648, 555>$ (small group id <648, 555>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y1^6, Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^-2 * Y3 * Y1^-2, (Y3 * Y1^-1)^6, (Y3 * Y1 * Y3 * Y1^-1)^3, (Y3 * Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-1)^2, Y3 * Y1^-3 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-3 ]
Map:: polytopal
	R = (1, 325, 2, 326, 5, 329, 11, 335, 10, 334, 4, 328)(3, 327, 7, 331, 15, 339, 29, 353, 18, 342, 8, 332)(6, 330, 13, 337, 25, 349, 48, 372, 28, 352, 14, 338)(9, 333, 19, 343, 36, 360, 68, 392, 39, 363, 20, 344)(12, 336, 23, 347, 44, 368, 83, 407, 47, 371, 24, 348)(16, 340, 31, 355, 58, 382, 108, 432, 61, 385, 32, 356)(17, 341, 33, 357, 62, 386, 114, 438, 65, 389, 34, 358)(21, 345, 40, 364, 75, 399, 132, 456, 78, 402, 41, 365)(22, 346, 42, 366, 79, 403, 137, 461, 82, 406, 43, 367)(26, 350, 50, 374, 93, 417, 159, 483, 96, 420, 51, 375)(27, 351, 52, 376, 97, 421, 164, 488, 100, 424, 53, 377)(30, 354, 56, 380, 84, 408, 145, 469, 107, 431, 57, 381)(35, 359, 66, 390, 89, 413, 154, 478, 122, 446, 67, 391)(37, 361, 70, 394, 125, 449, 200, 524, 127, 451, 71, 395)(38, 362, 72, 396, 128, 452, 204, 528, 130, 454, 73, 397)(45, 369, 85, 409, 146, 470, 227, 551, 149, 473, 86, 410)(46, 370, 87, 411, 150, 474, 232, 556, 153, 477, 88, 412)(49, 373, 91, 415, 138, 462, 124, 448, 69, 393, 92, 416)(54, 378, 101, 425, 143, 467, 131, 455, 74, 398, 102, 426)(55, 379, 103, 427, 171, 495, 254, 578, 174, 498, 104, 428)(59, 383, 110, 434, 181, 505, 217, 541, 152, 476, 111, 435)(60, 384, 98, 422, 166, 490, 252, 576, 184, 508, 112, 436)(63, 387, 116, 440, 188, 512, 251, 575, 190, 514, 117, 441)(64, 388, 118, 442, 191, 515, 222, 546, 161, 485, 94, 418)(76, 400, 133, 457, 210, 534, 269, 593, 211, 535, 134, 458)(77, 401, 135, 459, 212, 536, 282, 606, 214, 538, 136, 460)(80, 404, 139, 463, 216, 540, 284, 608, 219, 543, 140, 464)(81, 405, 141, 465, 220, 544, 286, 610, 223, 547, 142, 466)(90, 414, 155, 479, 237, 561, 182, 506, 240, 564, 156, 480)(95, 419, 151, 475, 234, 558, 178, 502, 249, 573, 162, 486)(99, 423, 167, 491, 126, 450, 202, 526, 229, 553, 147, 471)(105, 429, 175, 499, 261, 585, 287, 611, 263, 587, 176, 500)(106, 430, 177, 501, 255, 579, 168, 492, 250, 574, 163, 487)(109, 433, 179, 503, 256, 580, 169, 493, 115, 439, 180, 504)(113, 437, 185, 509, 260, 584, 193, 517, 119, 443, 186, 510)(120, 444, 194, 518, 274, 598, 201, 525, 275, 599, 195, 519)(121, 445, 196, 520, 276, 600, 285, 609, 277, 601, 197, 521)(123, 447, 198, 522, 272, 596, 192, 516, 271, 595, 199, 523)(129, 453, 205, 529, 268, 592, 187, 511, 239, 563, 206, 530)(144, 468, 224, 548, 288, 612, 247, 571, 289, 613, 225, 549)(148, 472, 221, 545, 172, 496, 244, 568, 295, 619, 230, 554)(157, 481, 241, 565, 299, 623, 283, 607, 301, 625, 242, 566)(158, 482, 243, 567, 297, 621, 235, 559, 296, 620, 231, 555)(160, 484, 245, 569, 298, 622, 236, 560, 165, 489, 246, 570)(170, 494, 257, 581, 307, 631, 281, 605, 308, 632, 258, 582)(173, 497, 218, 542, 213, 537, 238, 562, 291, 615, 259, 583)(183, 507, 215, 539, 189, 513, 270, 594, 294, 618, 262, 586)(203, 527, 226, 550, 290, 614, 279, 603, 207, 531, 278, 602)(208, 532, 233, 557, 293, 617, 228, 552, 292, 616, 280, 604)(209, 533, 253, 577, 305, 629, 266, 590, 300, 624, 248, 572)(264, 588, 302, 626, 317, 641, 316, 640, 324, 648, 311, 635)(265, 589, 312, 636, 318, 642, 304, 628, 323, 647, 310, 634)(267, 591, 313, 637, 319, 643, 315, 639, 322, 646, 303, 627)(273, 597, 306, 630, 320, 644, 309, 633, 321, 645, 314, 638)(649, 973)(650, 974)(651, 975)(652, 976)(653, 977)(654, 978)(655, 979)(656, 980)(657, 981)(658, 982)(659, 983)(660, 984)(661, 985)(662, 986)(663, 987)(664, 988)(665, 989)(666, 990)(667, 991)(668, 992)(669, 993)(670, 994)(671, 995)(672, 996)(673, 997)(674, 998)(675, 999)(676, 1000)(677, 1001)(678, 1002)(679, 1003)(680, 1004)(681, 1005)(682, 1006)(683, 1007)(684, 1008)(685, 1009)(686, 1010)(687, 1011)(688, 1012)(689, 1013)(690, 1014)(691, 1015)(692, 1016)(693, 1017)(694, 1018)(695, 1019)(696, 1020)(697, 1021)(698, 1022)(699, 1023)(700, 1024)(701, 1025)(702, 1026)(703, 1027)(704, 1028)(705, 1029)(706, 1030)(707, 1031)(708, 1032)(709, 1033)(710, 1034)(711, 1035)(712, 1036)(713, 1037)(714, 1038)(715, 1039)(716, 1040)(717, 1041)(718, 1042)(719, 1043)(720, 1044)(721, 1045)(722, 1046)(723, 1047)(724, 1048)(725, 1049)(726, 1050)(727, 1051)(728, 1052)(729, 1053)(730, 1054)(731, 1055)(732, 1056)(733, 1057)(734, 1058)(735, 1059)(736, 1060)(737, 1061)(738, 1062)(739, 1063)(740, 1064)(741, 1065)(742, 1066)(743, 1067)(744, 1068)(745, 1069)(746, 1070)(747, 1071)(748, 1072)(749, 1073)(750, 1074)(751, 1075)(752, 1076)(753, 1077)(754, 1078)(755, 1079)(756, 1080)(757, 1081)(758, 1082)(759, 1083)(760, 1084)(761, 1085)(762, 1086)(763, 1087)(764, 1088)(765, 1089)(766, 1090)(767, 1091)(768, 1092)(769, 1093)(770, 1094)(771, 1095)(772, 1096)(773, 1097)(774, 1098)(775, 1099)(776, 1100)(777, 1101)(778, 1102)(779, 1103)(780, 1104)(781, 1105)(782, 1106)(783, 1107)(784, 1108)(785, 1109)(786, 1110)(787, 1111)(788, 1112)(789, 1113)(790, 1114)(791, 1115)(792, 1116)(793, 1117)(794, 1118)(795, 1119)(796, 1120)(797, 1121)(798, 1122)(799, 1123)(800, 1124)(801, 1125)(802, 1126)(803, 1127)(804, 1128)(805, 1129)(806, 1130)(807, 1131)(808, 1132)(809, 1133)(810, 1134)(811, 1135)(812, 1136)(813, 1137)(814, 1138)(815, 1139)(816, 1140)(817, 1141)(818, 1142)(819, 1143)(820, 1144)(821, 1145)(822, 1146)(823, 1147)(824, 1148)(825, 1149)(826, 1150)(827, 1151)(828, 1152)(829, 1153)(830, 1154)(831, 1155)(832, 1156)(833, 1157)(834, 1158)(835, 1159)(836, 1160)(837, 1161)(838, 1162)(839, 1163)(840, 1164)(841, 1165)(842, 1166)(843, 1167)(844, 1168)(845, 1169)(846, 1170)(847, 1171)(848, 1172)(849, 1173)(850, 1174)(851, 1175)(852, 1176)(853, 1177)(854, 1178)(855, 1179)(856, 1180)(857, 1181)(858, 1182)(859, 1183)(860, 1184)(861, 1185)(862, 1186)(863, 1187)(864, 1188)(865, 1189)(866, 1190)(867, 1191)(868, 1192)(869, 1193)(870, 1194)(871, 1195)(872, 1196)(873, 1197)(874, 1198)(875, 1199)(876, 1200)(877, 1201)(878, 1202)(879, 1203)(880, 1204)(881, 1205)(882, 1206)(883, 1207)(884, 1208)(885, 1209)(886, 1210)(887, 1211)(888, 1212)(889, 1213)(890, 1214)(891, 1215)(892, 1216)(893, 1217)(894, 1218)(895, 1219)(896, 1220)(897, 1221)(898, 1222)(899, 1223)(900, 1224)(901, 1225)(902, 1226)(903, 1227)(904, 1228)(905, 1229)(906, 1230)(907, 1231)(908, 1232)(909, 1233)(910, 1234)(911, 1235)(912, 1236)(913, 1237)(914, 1238)(915, 1239)(916, 1240)(917, 1241)(918, 1242)(919, 1243)(920, 1244)(921, 1245)(922, 1246)(923, 1247)(924, 1248)(925, 1249)(926, 1250)(927, 1251)(928, 1252)(929, 1253)(930, 1254)(931, 1255)(932, 1256)(933, 1257)(934, 1258)(935, 1259)(936, 1260)(937, 1261)(938, 1262)(939, 1263)(940, 1264)(941, 1265)(942, 1266)(943, 1267)(944, 1268)(945, 1269)(946, 1270)(947, 1271)(948, 1272)(949, 1273)(950, 1274)(951, 1275)(952, 1276)(953, 1277)(954, 1278)(955, 1279)(956, 1280)(957, 1281)(958, 1282)(959, 1283)(960, 1284)(961, 1285)(962, 1286)(963, 1287)(964, 1288)(965, 1289)(966, 1290)(967, 1291)(968, 1292)(969, 1293)(970, 1294)(971, 1295)(972, 1296)
	L = (1, 651)(2, 654)(3, 649)(4, 657)(5, 660)(6, 650)(7, 664)(8, 665)(9, 652)(10, 669)(11, 670)(12, 653)(13, 674)(14, 675)(15, 678)(16, 655)(17, 656)(18, 683)(19, 685)(20, 686)(21, 658)(22, 659)(23, 693)(24, 694)(25, 697)(26, 661)(27, 662)(28, 702)(29, 703)(30, 663)(31, 707)(32, 708)(33, 711)(34, 712)(35, 666)(36, 717)(37, 667)(38, 668)(39, 722)(40, 724)(41, 725)(42, 728)(43, 729)(44, 732)(45, 671)(46, 672)(47, 737)(48, 738)(49, 673)(50, 742)(51, 743)(52, 746)(53, 747)(54, 676)(55, 677)(56, 753)(57, 754)(58, 757)(59, 679)(60, 680)(61, 761)(62, 763)(63, 681)(64, 682)(65, 767)(66, 768)(67, 769)(68, 771)(69, 684)(70, 774)(71, 765)(72, 777)(73, 758)(74, 687)(75, 755)(76, 688)(77, 689)(78, 770)(79, 786)(80, 690)(81, 691)(82, 791)(83, 792)(84, 692)(85, 795)(86, 796)(87, 799)(88, 800)(89, 695)(90, 696)(91, 805)(92, 806)(93, 808)(94, 698)(95, 699)(96, 811)(97, 813)(98, 700)(99, 701)(100, 816)(101, 817)(102, 818)(103, 820)(104, 821)(105, 704)(106, 705)(107, 723)(108, 826)(109, 706)(110, 721)(111, 830)(112, 831)(113, 709)(114, 835)(115, 710)(116, 837)(117, 719)(118, 840)(119, 713)(120, 714)(121, 715)(122, 726)(123, 716)(124, 833)(125, 849)(126, 718)(127, 851)(128, 842)(129, 720)(130, 855)(131, 856)(132, 857)(133, 839)(134, 854)(135, 861)(136, 850)(137, 863)(138, 727)(139, 865)(140, 866)(141, 869)(142, 870)(143, 730)(144, 731)(145, 874)(146, 876)(147, 733)(148, 734)(149, 879)(150, 881)(151, 735)(152, 736)(153, 883)(154, 884)(155, 886)(156, 887)(157, 739)(158, 740)(159, 892)(160, 741)(161, 895)(162, 896)(163, 744)(164, 899)(165, 745)(166, 901)(167, 902)(168, 748)(169, 749)(170, 750)(171, 904)(172, 751)(173, 752)(174, 908)(175, 910)(176, 867)(177, 888)(178, 756)(179, 912)(180, 913)(181, 914)(182, 759)(183, 760)(184, 880)(185, 772)(186, 915)(187, 762)(188, 917)(189, 764)(190, 873)(191, 781)(192, 766)(193, 921)(194, 776)(195, 920)(196, 868)(197, 918)(198, 882)(199, 878)(200, 900)(201, 773)(202, 784)(203, 775)(204, 907)(205, 872)(206, 782)(207, 778)(208, 779)(209, 780)(210, 929)(211, 890)(212, 905)(213, 783)(214, 931)(215, 785)(216, 933)(217, 787)(218, 788)(219, 824)(220, 844)(221, 789)(222, 790)(223, 935)(224, 853)(225, 838)(226, 793)(227, 939)(228, 794)(229, 942)(230, 847)(231, 797)(232, 832)(233, 798)(234, 846)(235, 801)(236, 802)(237, 946)(238, 803)(239, 804)(240, 825)(241, 948)(242, 859)(243, 937)(244, 807)(245, 950)(246, 951)(247, 809)(248, 810)(249, 934)(250, 952)(251, 812)(252, 848)(253, 814)(254, 815)(255, 954)(256, 819)(257, 860)(258, 953)(259, 852)(260, 822)(261, 957)(262, 823)(263, 958)(264, 827)(265, 828)(266, 829)(267, 834)(268, 932)(269, 836)(270, 845)(271, 938)(272, 843)(273, 841)(274, 963)(275, 959)(276, 961)(277, 964)(278, 960)(279, 962)(280, 936)(281, 858)(282, 943)(283, 862)(284, 916)(285, 864)(286, 897)(287, 871)(288, 928)(289, 891)(290, 919)(291, 875)(292, 965)(293, 966)(294, 877)(295, 930)(296, 967)(297, 968)(298, 885)(299, 969)(300, 889)(301, 970)(302, 893)(303, 894)(304, 898)(305, 906)(306, 903)(307, 971)(308, 972)(309, 909)(310, 911)(311, 923)(312, 926)(313, 924)(314, 927)(315, 922)(316, 925)(317, 940)(318, 941)(319, 944)(320, 945)(321, 947)(322, 949)(323, 955)(324, 956)(325, 973)(326, 974)(327, 975)(328, 976)(329, 977)(330, 978)(331, 979)(332, 980)(333, 981)(334, 982)(335, 983)(336, 984)(337, 985)(338, 986)(339, 987)(340, 988)(341, 989)(342, 990)(343, 991)(344, 992)(345, 993)(346, 994)(347, 995)(348, 996)(349, 997)(350, 998)(351, 999)(352, 1000)(353, 1001)(354, 1002)(355, 1003)(356, 1004)(357, 1005)(358, 1006)(359, 1007)(360, 1008)(361, 1009)(362, 1010)(363, 1011)(364, 1012)(365, 1013)(366, 1014)(367, 1015)(368, 1016)(369, 1017)(370, 1018)(371, 1019)(372, 1020)(373, 1021)(374, 1022)(375, 1023)(376, 1024)(377, 1025)(378, 1026)(379, 1027)(380, 1028)(381, 1029)(382, 1030)(383, 1031)(384, 1032)(385, 1033)(386, 1034)(387, 1035)(388, 1036)(389, 1037)(390, 1038)(391, 1039)(392, 1040)(393, 1041)(394, 1042)(395, 1043)(396, 1044)(397, 1045)(398, 1046)(399, 1047)(400, 1048)(401, 1049)(402, 1050)(403, 1051)(404, 1052)(405, 1053)(406, 1054)(407, 1055)(408, 1056)(409, 1057)(410, 1058)(411, 1059)(412, 1060)(413, 1061)(414, 1062)(415, 1063)(416, 1064)(417, 1065)(418, 1066)(419, 1067)(420, 1068)(421, 1069)(422, 1070)(423, 1071)(424, 1072)(425, 1073)(426, 1074)(427, 1075)(428, 1076)(429, 1077)(430, 1078)(431, 1079)(432, 1080)(433, 1081)(434, 1082)(435, 1083)(436, 1084)(437, 1085)(438, 1086)(439, 1087)(440, 1088)(441, 1089)(442, 1090)(443, 1091)(444, 1092)(445, 1093)(446, 1094)(447, 1095)(448, 1096)(449, 1097)(450, 1098)(451, 1099)(452, 1100)(453, 1101)(454, 1102)(455, 1103)(456, 1104)(457, 1105)(458, 1106)(459, 1107)(460, 1108)(461, 1109)(462, 1110)(463, 1111)(464, 1112)(465, 1113)(466, 1114)(467, 1115)(468, 1116)(469, 1117)(470, 1118)(471, 1119)(472, 1120)(473, 1121)(474, 1122)(475, 1123)(476, 1124)(477, 1125)(478, 1126)(479, 1127)(480, 1128)(481, 1129)(482, 1130)(483, 1131)(484, 1132)(485, 1133)(486, 1134)(487, 1135)(488, 1136)(489, 1137)(490, 1138)(491, 1139)(492, 1140)(493, 1141)(494, 1142)(495, 1143)(496, 1144)(497, 1145)(498, 1146)(499, 1147)(500, 1148)(501, 1149)(502, 1150)(503, 1151)(504, 1152)(505, 1153)(506, 1154)(507, 1155)(508, 1156)(509, 1157)(510, 1158)(511, 1159)(512, 1160)(513, 1161)(514, 1162)(515, 1163)(516, 1164)(517, 1165)(518, 1166)(519, 1167)(520, 1168)(521, 1169)(522, 1170)(523, 1171)(524, 1172)(525, 1173)(526, 1174)(527, 1175)(528, 1176)(529, 1177)(530, 1178)(531, 1179)(532, 1180)(533, 1181)(534, 1182)(535, 1183)(536, 1184)(537, 1185)(538, 1186)(539, 1187)(540, 1188)(541, 1189)(542, 1190)(543, 1191)(544, 1192)(545, 1193)(546, 1194)(547, 1195)(548, 1196)(549, 1197)(550, 1198)(551, 1199)(552, 1200)(553, 1201)(554, 1202)(555, 1203)(556, 1204)(557, 1205)(558, 1206)(559, 1207)(560, 1208)(561, 1209)(562, 1210)(563, 1211)(564, 1212)(565, 1213)(566, 1214)(567, 1215)(568, 1216)(569, 1217)(570, 1218)(571, 1219)(572, 1220)(573, 1221)(574, 1222)(575, 1223)(576, 1224)(577, 1225)(578, 1226)(579, 1227)(580, 1228)(581, 1229)(582, 1230)(583, 1231)(584, 1232)(585, 1233)(586, 1234)(587, 1235)(588, 1236)(589, 1237)(590, 1238)(591, 1239)(592, 1240)(593, 1241)(594, 1242)(595, 1243)(596, 1244)(597, 1245)(598, 1246)(599, 1247)(600, 1248)(601, 1249)(602, 1250)(603, 1251)(604, 1252)(605, 1253)(606, 1254)(607, 1255)(608, 1256)(609, 1257)(610, 1258)(611, 1259)(612, 1260)(613, 1261)(614, 1262)(615, 1263)(616, 1264)(617, 1265)(618, 1266)(619, 1267)(620, 1268)(621, 1269)(622, 1270)(623, 1271)(624, 1272)(625, 1273)(626, 1274)(627, 1275)(628, 1276)(629, 1277)(630, 1278)(631, 1279)(632, 1280)(633, 1281)(634, 1282)(635, 1283)(636, 1284)(637, 1285)(638, 1286)(639, 1287)(640, 1288)(641, 1289)(642, 1290)(643, 1291)(644, 1292)(645, 1293)(646, 1294)(647, 1295)(648, 1296)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3249
Graph:: simple bipartite
	v = 378 e = 648 f = 216
	degree seq :: [ 2^324, 12^54 ]

E28.3257 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 4, 8})
Quotient :: halfedge
Aut^+ = $<432, 520>$ (small group id <432, 520>)
Aut   = $<432, 520>$ (small group id <432, 520>)
|r| :: 1
Presentation :: [ X2^2, (X2 * X1^-1)^4, X1^8, X1^-1 * X2 * X1^-2 * X2 * X1^2 * X2 * X1 * X2 * X1^-1 * X2 * X1 * X2, X1^3 * X2 * X1^-2 * X2 * X1 * X2 * X1^3 * X2 * X1, X1^-1 * X2 * X1^2 * X2 * X1^-2 * X2 * X1^-1 * X2 * X1 * X2 * X1^-2 * X2 * X1^-3, (X2 * X1^3 * X2 * X1^-1)^3 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 57, 37, 18, 8)(6, 13, 27, 51, 92, 56, 30, 14)(9, 19, 38, 69, 124, 74, 40, 20)(12, 25, 47, 86, 153, 91, 50, 26)(16, 33, 61, 110, 192, 114, 63, 34)(17, 35, 64, 115, 173, 97, 53, 28)(21, 41, 75, 134, 220, 139, 77, 42)(24, 45, 82, 147, 116, 152, 85, 46)(29, 54, 98, 174, 247, 158, 88, 48)(32, 59, 106, 166, 93, 165, 109, 60)(36, 66, 119, 204, 299, 206, 121, 67)(39, 71, 128, 164, 255, 217, 130, 72)(43, 78, 140, 225, 249, 179, 142, 79)(44, 80, 143, 228, 175, 120, 146, 81)(49, 89, 159, 248, 340, 236, 149, 83)(52, 94, 167, 241, 154, 240, 170, 95)(55, 100, 178, 267, 375, 269, 180, 101)(58, 104, 185, 127, 70, 126, 188, 105)(62, 112, 195, 287, 330, 243, 157, 107)(65, 117, 201, 284, 346, 298, 203, 118)(68, 122, 207, 302, 385, 290, 209, 123)(73, 131, 202, 296, 391, 316, 218, 132)(76, 136, 184, 103, 183, 273, 223, 137)(84, 150, 237, 341, 295, 331, 230, 144)(87, 155, 242, 334, 232, 333, 245, 156)(90, 161, 252, 355, 297, 357, 253, 162)(96, 171, 129, 215, 311, 336, 235, 168)(99, 176, 265, 200, 294, 374, 266, 177)(102, 181, 270, 378, 418, 367, 272, 182)(108, 190, 280, 361, 258, 339, 277, 186)(111, 193, 285, 359, 257, 360, 286, 194)(113, 197, 289, 365, 260, 364, 291, 198)(125, 211, 306, 222, 135, 196, 288, 212)(133, 219, 317, 373, 407, 344, 239, 151)(138, 163, 254, 358, 414, 399, 323, 224)(141, 145, 231, 210, 305, 372, 326, 227)(148, 233, 335, 402, 327, 401, 338, 234)(160, 250, 353, 264, 371, 412, 354, 251)(169, 259, 362, 408, 347, 301, 205, 256)(172, 261, 366, 321, 349, 410, 368, 262)(187, 278, 380, 271, 214, 310, 351, 274)(189, 246, 350, 307, 213, 309, 384, 279)(191, 282, 387, 314, 216, 313, 388, 283)(199, 292, 390, 424, 397, 318, 332, 293)(208, 275, 370, 263, 369, 308, 395, 304)(221, 319, 363, 325, 226, 312, 396, 320)(229, 328, 403, 400, 324, 386, 281, 329)(238, 342, 315, 352, 411, 426, 406, 343)(244, 348, 409, 425, 405, 377, 268, 345)(276, 381, 421, 398, 322, 356, 404, 337)(300, 394, 415, 376, 303, 392, 413, 379)(382, 419, 393, 417, 428, 431, 430, 422)(383, 420, 427, 432, 429, 423, 389, 416)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 44)(25, 48)(26, 49)(27, 52)(30, 55)(31, 58)(34, 62)(35, 65)(37, 68)(38, 70)(40, 73)(41, 76)(42, 71)(45, 83)(46, 84)(47, 87)(50, 90)(51, 93)(53, 96)(54, 99)(56, 102)(57, 103)(59, 107)(60, 108)(61, 111)(63, 113)(64, 116)(66, 120)(67, 117)(69, 125)(72, 129)(74, 133)(75, 135)(77, 138)(78, 141)(79, 136)(80, 144)(81, 145)(82, 148)(85, 151)(86, 154)(88, 157)(89, 160)(91, 163)(92, 164)(94, 168)(95, 169)(97, 172)(98, 175)(100, 179)(101, 176)(104, 186)(105, 187)(106, 189)(109, 191)(110, 153)(112, 196)(114, 199)(115, 200)(118, 202)(119, 177)(121, 205)(122, 208)(123, 146)(124, 210)(126, 171)(127, 213)(128, 214)(130, 216)(131, 152)(132, 193)(134, 221)(137, 195)(139, 161)(140, 226)(142, 182)(143, 229)(147, 232)(149, 235)(150, 238)(155, 243)(156, 244)(158, 246)(159, 249)(162, 250)(165, 256)(166, 257)(167, 258)(170, 260)(173, 263)(174, 264)(178, 251)(180, 268)(181, 271)(183, 274)(184, 275)(185, 276)(188, 262)(190, 281)(192, 284)(194, 254)(197, 290)(198, 288)(201, 295)(203, 297)(204, 300)(206, 282)(207, 303)(209, 293)(211, 307)(212, 308)(215, 312)(217, 315)(218, 277)(219, 318)(220, 237)(222, 321)(223, 322)(224, 310)(225, 324)(227, 311)(228, 327)(230, 330)(231, 332)(233, 336)(234, 337)(236, 339)(239, 342)(240, 345)(241, 346)(242, 347)(245, 349)(247, 351)(248, 352)(252, 343)(253, 356)(255, 359)(259, 363)(261, 367)(265, 372)(266, 373)(267, 376)(269, 364)(270, 379)(272, 370)(273, 353)(278, 382)(279, 383)(280, 385)(283, 329)(285, 340)(286, 375)(287, 328)(289, 386)(291, 389)(292, 341)(294, 334)(296, 392)(298, 393)(299, 380)(301, 331)(302, 354)(304, 391)(305, 369)(306, 348)(309, 338)(313, 344)(314, 396)(316, 381)(317, 394)(319, 366)(320, 390)(323, 350)(325, 365)(326, 377)(333, 404)(335, 405)(355, 413)(357, 410)(358, 415)(360, 416)(361, 417)(362, 418)(368, 419)(371, 402)(374, 420)(378, 406)(384, 407)(387, 422)(388, 401)(395, 423)(397, 414)(398, 403)(399, 409)(400, 411)(408, 427)(412, 428)(421, 429)(424, 430)(425, 431)(426, 432)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 54 e = 216 f = 108
	degree seq :: [ 8^54 ]

E28.3258 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 4, 8})
Quotient :: halfedge
Aut^+ = $<432, 520>$ (small group id <432, 520>)
Aut   = $<432, 520>$ (small group id <432, 520>)
|r| :: 1
Presentation :: [ X2^2, X1^4, (X2 * X1^-2 * X2 * X1^-1 * X2 * X1)^2, (X2 * X1^-1)^8, X1 * X2 * X1^-1 * X2 * X1^-2 * X2 * X1 * X2 * X1 * X2 * X1^-1 * X2 * X1^-1 * X2 * X1^-1 * X2 * X1, X1^-1 * X2 * X1^-2 * X2 * X1^-2 * X2 * X1^2 * X2 * X1^2 * X2 * X1^2 * X2 * X1^-1, X2 * X1^-2 * X2 * X1 * X2 * X1^-1 * X2 * X1^-1 * X2 * X1 * X2 * X1 * X2 * X1 * X2 * X1^-2 * X2 * X1 * X2 * X1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 28, 17)(10, 18, 31, 19)(14, 24, 41, 25)(15, 26, 44, 27)(21, 35, 59, 36)(22, 37, 62, 38)(23, 39, 65, 40)(29, 48, 80, 49)(30, 50, 83, 51)(32, 53, 88, 54)(33, 55, 91, 56)(34, 57, 94, 58)(42, 69, 113, 70)(43, 71, 116, 72)(45, 74, 92, 75)(46, 76, 123, 77)(47, 78, 126, 79)(52, 86, 136, 87)(60, 98, 152, 99)(61, 100, 155, 101)(63, 103, 84, 104)(64, 105, 162, 106)(66, 108, 167, 109)(67, 110, 170, 111)(68, 112, 150, 96)(73, 119, 183, 120)(81, 129, 196, 130)(82, 131, 199, 132)(85, 134, 204, 135)(89, 140, 211, 141)(90, 142, 214, 143)(93, 145, 219, 146)(95, 148, 224, 149)(97, 151, 209, 138)(102, 158, 238, 159)(107, 165, 206, 166)(114, 174, 256, 175)(115, 176, 257, 177)(117, 179, 124, 180)(118, 181, 263, 182)(121, 186, 267, 187)(122, 188, 270, 189)(125, 191, 230, 153)(127, 193, 265, 194)(128, 139, 210, 195)(133, 202, 284, 203)(137, 207, 285, 208)(144, 217, 296, 218)(147, 222, 192, 223)(154, 231, 308, 232)(156, 234, 163, 235)(157, 236, 185, 237)(160, 241, 316, 242)(161, 243, 319, 244)(164, 246, 184, 212)(168, 249, 286, 225)(169, 250, 325, 251)(171, 252, 328, 253)(172, 213, 290, 254)(173, 255, 324, 248)(178, 259, 337, 260)(190, 273, 298, 245)(197, 221, 299, 239)(198, 278, 306, 228)(200, 280, 205, 281)(201, 282, 297, 283)(215, 292, 220, 293)(216, 294, 240, 295)(226, 302, 377, 303)(227, 304, 266, 305)(229, 307, 376, 301)(233, 310, 387, 311)(247, 289, 366, 323)(258, 335, 264, 336)(261, 340, 404, 341)(262, 342, 371, 343)(268, 330, 374, 338)(269, 345, 382, 332)(271, 347, 274, 348)(272, 349, 384, 350)(275, 351, 405, 352)(276, 353, 373, 354)(277, 355, 375, 300)(279, 357, 410, 358)(287, 362, 411, 363)(288, 364, 315, 365)(291, 368, 414, 369)(309, 385, 314, 386)(312, 390, 418, 391)(313, 392, 360, 393)(317, 381, 333, 388)(318, 395, 334, 383)(320, 397, 322, 398)(321, 399, 331, 400)(326, 402, 329, 396)(327, 372, 339, 367)(344, 378, 417, 380)(346, 407, 424, 408)(356, 379, 361, 389)(359, 401, 421, 403)(370, 415, 426, 416)(394, 412, 425, 413)(406, 420, 409, 419)(422, 427, 431, 430)(423, 428, 432, 429)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 29)(17, 30)(18, 32)(19, 33)(20, 34)(24, 42)(25, 43)(26, 45)(27, 46)(28, 47)(31, 52)(35, 60)(36, 61)(37, 63)(38, 64)(39, 66)(40, 67)(41, 68)(44, 73)(48, 81)(49, 82)(50, 84)(51, 85)(53, 89)(54, 90)(55, 92)(56, 93)(57, 95)(58, 96)(59, 97)(62, 102)(65, 107)(69, 114)(70, 115)(71, 117)(72, 118)(74, 121)(75, 122)(76, 124)(77, 125)(78, 127)(79, 128)(80, 110)(83, 133)(86, 137)(87, 138)(88, 139)(91, 144)(94, 147)(98, 153)(99, 154)(100, 156)(101, 157)(103, 160)(104, 161)(105, 163)(106, 164)(108, 168)(109, 169)(111, 171)(112, 172)(113, 173)(116, 178)(119, 184)(120, 185)(123, 190)(126, 192)(129, 197)(130, 198)(131, 200)(132, 201)(134, 205)(135, 174)(136, 206)(140, 212)(141, 213)(142, 215)(143, 216)(145, 220)(146, 221)(148, 225)(149, 226)(150, 227)(151, 228)(152, 229)(155, 233)(158, 239)(159, 240)(162, 245)(165, 247)(166, 248)(167, 237)(170, 232)(175, 217)(176, 258)(177, 210)(179, 261)(180, 262)(181, 264)(182, 265)(183, 266)(186, 268)(187, 269)(188, 271)(189, 272)(191, 274)(193, 249)(194, 275)(195, 276)(196, 277)(199, 279)(202, 230)(203, 263)(204, 273)(207, 286)(208, 287)(209, 288)(211, 289)(214, 291)(218, 297)(219, 298)(222, 300)(223, 301)(224, 295)(231, 309)(234, 312)(235, 313)(236, 314)(238, 315)(241, 317)(242, 318)(243, 320)(244, 321)(246, 322)(250, 326)(251, 327)(252, 329)(253, 330)(254, 331)(255, 332)(256, 333)(257, 334)(259, 338)(260, 339)(267, 344)(270, 346)(278, 356)(280, 359)(281, 360)(282, 361)(283, 285)(284, 328)(290, 367)(292, 370)(293, 371)(294, 372)(296, 373)(299, 374)(302, 378)(303, 379)(304, 380)(305, 381)(306, 382)(307, 383)(308, 384)(310, 388)(311, 389)(316, 394)(319, 396)(323, 390)(324, 401)(325, 392)(335, 363)(336, 369)(337, 403)(340, 376)(341, 387)(342, 405)(343, 377)(345, 406)(347, 365)(348, 368)(349, 409)(350, 366)(351, 407)(352, 385)(353, 408)(354, 397)(355, 400)(357, 398)(358, 386)(362, 412)(364, 413)(375, 415)(391, 414)(393, 411)(395, 419)(399, 420)(402, 422)(404, 423)(410, 416)(417, 427)(418, 428)(421, 429)(424, 430)(425, 431)(426, 432)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 108 e = 216 f = 54
	degree seq :: [ 4^108 ]

E28.3259 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = $<432, 520>$ (small group id <432, 520>)
Aut   = $<432, 520>$ (small group id <432, 520>)
|r| :: 1
Presentation :: [ X1^2, X2^4, (X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2^-1)^2, (X2^-1 * X1)^8, X1 * X2 * X1 * X2^-2 * X1 * X2 * X1 * X2^2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1 * X2, X2 * X1 * X2^-2 * X1 * X2^-2 * X1 * X2^-2 * X1 * X2^-2 * X1 * X2^2 * X1 * X2 ]
Map:: polytopal
	R = (1, 2)(3, 7)(4, 9)(5, 10)(6, 12)(8, 15)(11, 20)(13, 23)(14, 25)(16, 28)(17, 30)(18, 31)(19, 33)(21, 36)(22, 38)(24, 41)(26, 44)(27, 46)(29, 49)(32, 54)(34, 57)(35, 59)(37, 62)(39, 65)(40, 67)(42, 70)(43, 72)(45, 75)(47, 78)(48, 80)(50, 83)(51, 85)(52, 86)(53, 88)(55, 91)(56, 93)(58, 96)(60, 99)(61, 101)(63, 104)(64, 106)(66, 109)(68, 112)(69, 114)(71, 95)(73, 119)(74, 92)(76, 123)(77, 125)(79, 128)(81, 102)(82, 130)(84, 133)(87, 138)(89, 141)(90, 143)(94, 148)(97, 152)(98, 154)(100, 157)(103, 159)(105, 162)(107, 164)(108, 166)(110, 169)(111, 170)(113, 173)(115, 176)(116, 178)(117, 179)(118, 181)(120, 184)(121, 185)(122, 187)(124, 172)(126, 192)(127, 194)(129, 197)(131, 200)(132, 202)(134, 204)(135, 136)(137, 207)(139, 210)(140, 211)(142, 214)(144, 217)(145, 219)(146, 220)(147, 222)(149, 225)(150, 226)(151, 228)(153, 213)(155, 233)(156, 235)(158, 238)(160, 241)(161, 243)(163, 245)(165, 209)(167, 234)(168, 206)(171, 254)(174, 257)(175, 232)(177, 260)(180, 263)(182, 265)(183, 267)(186, 227)(188, 272)(189, 274)(190, 240)(191, 216)(193, 208)(195, 278)(196, 264)(198, 280)(199, 231)(201, 282)(203, 261)(205, 284)(212, 292)(215, 295)(218, 298)(221, 301)(223, 303)(224, 305)(229, 310)(230, 312)(236, 316)(237, 302)(239, 318)(242, 320)(244, 299)(246, 322)(247, 323)(248, 324)(249, 304)(250, 325)(251, 327)(252, 328)(253, 330)(255, 333)(256, 334)(258, 337)(259, 339)(262, 343)(266, 287)(268, 338)(269, 348)(270, 349)(271, 313)(273, 352)(275, 309)(276, 353)(277, 354)(279, 355)(281, 350)(283, 360)(285, 362)(286, 363)(288, 364)(289, 366)(290, 367)(291, 369)(293, 372)(294, 373)(296, 376)(297, 378)(300, 382)(306, 377)(307, 387)(308, 388)(311, 391)(314, 392)(315, 393)(317, 394)(319, 389)(321, 399)(326, 402)(329, 386)(331, 374)(332, 379)(335, 370)(336, 380)(340, 371)(341, 375)(342, 381)(344, 396)(345, 384)(346, 407)(347, 368)(351, 390)(356, 404)(357, 383)(358, 405)(359, 400)(361, 398)(365, 412)(385, 417)(395, 414)(397, 415)(401, 420)(403, 423)(406, 424)(408, 421)(409, 422)(410, 411)(413, 427)(416, 428)(418, 425)(419, 426)(429, 432)(430, 431)(433, 435, 440, 436)(434, 437, 443, 438)(439, 445, 456, 446)(441, 448, 461, 449)(442, 450, 464, 451)(444, 453, 469, 454)(447, 458, 477, 459)(452, 466, 490, 467)(455, 471, 498, 472)(457, 474, 503, 475)(460, 479, 511, 480)(462, 482, 516, 483)(463, 484, 519, 485)(465, 487, 524, 488)(468, 492, 532, 493)(470, 495, 537, 496)(473, 500, 545, 501)(476, 505, 552, 506)(478, 508, 556, 509)(481, 513, 561, 514)(486, 521, 574, 522)(489, 526, 581, 527)(491, 529, 585, 530)(494, 534, 590, 535)(497, 539, 597, 540)(499, 542, 512, 543)(502, 547, 609, 548)(504, 549, 612, 550)(507, 553, 618, 554)(510, 558, 625, 559)(515, 563, 633, 564)(517, 566, 637, 567)(518, 568, 638, 569)(520, 571, 533, 572)(523, 576, 650, 577)(525, 578, 653, 579)(528, 582, 659, 583)(531, 587, 666, 588)(536, 592, 674, 593)(538, 595, 678, 596)(541, 599, 681, 600)(544, 603, 673, 604)(546, 606, 665, 607)(551, 614, 698, 615)(555, 620, 705, 621)(557, 622, 707, 623)(560, 627, 711, 628)(562, 630, 713, 631)(565, 617, 701, 635)(570, 640, 719, 641)(573, 644, 632, 645)(575, 647, 624, 648)(580, 655, 736, 656)(584, 661, 743, 662)(586, 663, 745, 664)(589, 668, 749, 669)(591, 671, 751, 672)(594, 658, 739, 676)(598, 679, 610, 680)(601, 682, 758, 683)(602, 684, 761, 685)(605, 687, 629, 688)(608, 690, 770, 691)(611, 693, 774, 694)(613, 696, 777, 697)(616, 700, 753, 677)(619, 702, 769, 703)(626, 708, 634, 709)(636, 657, 738, 715)(639, 717, 651, 718)(642, 720, 797, 721)(643, 722, 800, 723)(646, 725, 670, 726)(649, 728, 809, 729)(652, 731, 813, 732)(654, 734, 816, 735)(660, 740, 808, 741)(667, 746, 675, 747)(686, 763, 831, 764)(689, 767, 801, 768)(692, 772, 838, 773)(695, 765, 835, 776)(699, 778, 706, 779)(704, 782, 710, 783)(712, 788, 799, 789)(714, 790, 796, 791)(716, 766, 798, 793)(724, 802, 792, 803)(727, 806, 762, 807)(730, 811, 848, 812)(733, 804, 845, 815)(737, 817, 744, 818)(742, 821, 748, 822)(750, 827, 760, 828)(752, 829, 757, 830)(754, 805, 759, 832)(755, 826, 850, 819)(756, 823, 786, 833)(771, 836, 775, 837)(780, 794, 787, 840)(781, 824, 852, 841)(784, 825, 843, 795)(785, 842, 851, 820)(810, 846, 814, 847)(834, 853, 861, 854)(839, 856, 862, 855)(844, 857, 863, 858)(849, 860, 864, 859)
	L = (1, 433)(2, 434)(3, 435)(4, 436)(5, 437)(6, 438)(7, 439)(8, 440)(9, 441)(10, 442)(11, 443)(12, 444)(13, 445)(14, 446)(15, 447)(16, 448)(17, 449)(18, 450)(19, 451)(20, 452)(21, 453)(22, 454)(23, 455)(24, 456)(25, 457)(26, 458)(27, 459)(28, 460)(29, 461)(30, 462)(31, 463)(32, 464)(33, 465)(34, 466)(35, 467)(36, 468)(37, 469)(38, 470)(39, 471)(40, 472)(41, 473)(42, 474)(43, 475)(44, 476)(45, 477)(46, 478)(47, 479)(48, 480)(49, 481)(50, 482)(51, 483)(52, 484)(53, 485)(54, 486)(55, 487)(56, 488)(57, 489)(58, 490)(59, 491)(60, 492)(61, 493)(62, 494)(63, 495)(64, 496)(65, 497)(66, 498)(67, 499)(68, 500)(69, 501)(70, 502)(71, 503)(72, 504)(73, 505)(74, 506)(75, 507)(76, 508)(77, 509)(78, 510)(79, 511)(80, 512)(81, 513)(82, 514)(83, 515)(84, 516)(85, 517)(86, 518)(87, 519)(88, 520)(89, 521)(90, 522)(91, 523)(92, 524)(93, 525)(94, 526)(95, 527)(96, 528)(97, 529)(98, 530)(99, 531)(100, 532)(101, 533)(102, 534)(103, 535)(104, 536)(105, 537)(106, 538)(107, 539)(108, 540)(109, 541)(110, 542)(111, 543)(112, 544)(113, 545)(114, 546)(115, 547)(116, 548)(117, 549)(118, 550)(119, 551)(120, 552)(121, 553)(122, 554)(123, 555)(124, 556)(125, 557)(126, 558)(127, 559)(128, 560)(129, 561)(130, 562)(131, 563)(132, 564)(133, 565)(134, 566)(135, 567)(136, 568)(137, 569)(138, 570)(139, 571)(140, 572)(141, 573)(142, 574)(143, 575)(144, 576)(145, 577)(146, 578)(147, 579)(148, 580)(149, 581)(150, 582)(151, 583)(152, 584)(153, 585)(154, 586)(155, 587)(156, 588)(157, 589)(158, 590)(159, 591)(160, 592)(161, 593)(162, 594)(163, 595)(164, 596)(165, 597)(166, 598)(167, 599)(168, 600)(169, 601)(170, 602)(171, 603)(172, 604)(173, 605)(174, 606)(175, 607)(176, 608)(177, 609)(178, 610)(179, 611)(180, 612)(181, 613)(182, 614)(183, 615)(184, 616)(185, 617)(186, 618)(187, 619)(188, 620)(189, 621)(190, 622)(191, 623)(192, 624)(193, 625)(194, 626)(195, 627)(196, 628)(197, 629)(198, 630)(199, 631)(200, 632)(201, 633)(202, 634)(203, 635)(204, 636)(205, 637)(206, 638)(207, 639)(208, 640)(209, 641)(210, 642)(211, 643)(212, 644)(213, 645)(214, 646)(215, 647)(216, 648)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 324 e = 432 f = 54
	degree seq :: [ 2^216, 4^108 ]

E28.3260 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = $<432, 520>$ (small group id <432, 520>)
Aut   = $<432, 520>$ (small group id <432, 520>)
|r| :: 1
Presentation :: [ X1^4, X1^4, (X2 * X1)^2, X2^8, X2^-2 * X1 * X2^-3 * X1 * X2^3 * X1^-2, X2^-2 * X1^-2 * X2^2 * X1^-2 * X2 * X1^-1 * X2 * X1^-1, (X2^-1 * X1)^6, X2^4 * X1^2 * X2^-1 * X1^-2 * X2^-1 * X1 * X2^-2 * X1, X1^-1 * X2^-1 * X1 * X2^2 * X1^-1 * X2^4 * X1 * X2^-2 * X1^-1 * X2 * X1^-1, X2^3 * X1^-1 * X2^-2 * X1^2 * X2^-3 * X1 * X2 * X1^-1 * X2 * X1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 6, 4)(3, 9, 21, 11)(5, 13, 18, 7)(8, 19, 34, 15)(10, 23, 49, 25)(12, 16, 35, 28)(14, 31, 62, 29)(17, 37, 76, 39)(20, 43, 85, 41)(22, 47, 92, 45)(24, 51, 103, 53)(26, 46, 93, 56)(27, 57, 114, 59)(30, 63, 83, 40)(32, 67, 130, 65)(33, 68, 134, 70)(36, 74, 143, 72)(38, 78, 153, 80)(42, 86, 141, 71)(44, 90, 173, 88)(48, 97, 184, 95)(50, 101, 135, 99)(52, 105, 197, 106)(54, 100, 189, 109)(55, 110, 147, 112)(58, 116, 209, 117)(60, 73, 144, 120)(61, 121, 215, 123)(64, 127, 219, 125)(66, 131, 140, 124)(69, 136, 230, 138)(75, 148, 246, 146)(77, 151, 115, 149)(79, 155, 256, 156)(81, 150, 249, 159)(82, 160, 96, 162)(84, 164, 266, 166)(87, 170, 270, 168)(89, 174, 119, 167)(91, 177, 279, 179)(94, 182, 285, 180)(98, 187, 286, 185)(102, 191, 291, 190)(104, 195, 280, 193)(107, 194, 234, 157)(108, 200, 122, 202)(111, 204, 306, 205)(113, 181, 238, 169)(118, 199, 300, 212)(126, 214, 243, 163)(128, 183, 245, 171)(129, 221, 309, 206)(132, 225, 327, 223)(133, 226, 265, 222)(137, 232, 338, 233)(139, 228, 332, 236)(142, 239, 346, 241)(145, 244, 350, 242)(152, 251, 354, 250)(154, 254, 216, 253)(158, 258, 165, 260)(161, 262, 203, 263)(172, 272, 370, 264)(175, 276, 380, 274)(176, 277, 345, 273)(178, 281, 211, 282)(186, 287, 207, 271)(188, 229, 333, 290)(192, 294, 339, 292)(196, 297, 337, 296)(198, 301, 334, 299)(201, 303, 396, 304)(208, 311, 353, 248)(210, 314, 347, 313)(213, 275, 343, 317)(217, 319, 391, 322)(218, 323, 393, 325)(220, 247, 351, 318)(224, 261, 344, 237)(227, 331, 379, 329)(231, 336, 267, 335)(235, 340, 240, 342)(252, 357, 289, 355)(255, 360, 315, 359)(257, 363, 312, 362)(259, 365, 419, 366)(268, 372, 302, 375)(269, 376, 416, 378)(278, 384, 308, 382)(283, 385, 407, 386)(284, 387, 418, 361)(288, 390, 326, 388)(293, 392, 305, 368)(295, 371, 330, 394)(298, 349, 411, 395)(307, 399, 426, 398)(310, 389, 425, 401)(316, 374, 422, 377)(320, 383, 417, 358)(321, 402, 324, 341)(328, 356, 415, 367)(348, 409, 364, 410)(352, 414, 369, 412)(373, 413, 430, 406)(381, 405, 429, 408)(397, 420, 431, 428)(400, 423, 403, 421)(404, 424, 432, 427)(433, 435, 442, 456, 484, 464, 446, 437)(434, 439, 449, 470, 511, 476, 452, 440)(436, 444, 459, 490, 530, 480, 454, 441)(438, 447, 465, 501, 569, 507, 468, 448)(443, 458, 487, 543, 624, 534, 482, 455)(445, 461, 493, 554, 614, 560, 496, 462)(450, 472, 514, 593, 684, 584, 509, 469)(451, 473, 516, 597, 559, 603, 519, 474)(453, 477, 523, 610, 676, 615, 526, 478)(457, 486, 540, 633, 730, 628, 536, 483)(460, 492, 551, 645, 744, 640, 547, 489)(463, 497, 561, 579, 506, 578, 564, 498)(466, 503, 572, 669, 766, 661, 567, 500)(467, 504, 574, 672, 602, 677, 577, 505)(471, 513, 590, 691, 793, 687, 586, 510)(475, 520, 604, 528, 479, 527, 607, 521)(481, 531, 620, 710, 608, 522, 588, 532)(485, 539, 585, 685, 790, 734, 630, 537)(488, 545, 639, 742, 779, 671, 575, 542)(491, 550, 643, 748, 810, 747, 642, 548)(494, 556, 573, 670, 777, 752, 648, 553)(495, 557, 650, 756, 657, 678, 652, 558)(499, 538, 631, 546, 583, 682, 659, 565)(502, 571, 667, 773, 757, 769, 663, 568)(508, 581, 680, 784, 679, 580, 665, 582)(512, 589, 662, 767, 838, 796, 689, 587)(515, 595, 697, 803, 712, 609, 524, 592)(517, 599, 552, 646, 750, 805, 699, 596)(518, 600, 701, 809, 708, 616, 703, 601)(525, 612, 716, 798, 704, 605, 705, 613)(529, 617, 660, 566, 533, 622, 720, 618)(535, 625, 727, 823, 721, 619, 549, 626)(541, 635, 737, 829, 858, 819, 717, 632)(544, 638, 740, 832, 846, 785, 739, 636)(555, 649, 753, 774, 673, 780, 735, 634)(562, 654, 675, 576, 674, 781, 736, 653)(563, 655, 758, 835, 763, 786, 760, 656)(570, 666, 641, 745, 833, 839, 771, 664)(591, 693, 799, 852, 824, 755, 651, 690)(594, 696, 801, 853, 822, 723, 800, 694)(598, 700, 806, 713, 611, 715, 797, 692)(606, 706, 811, 855, 816, 722, 813, 707)(621, 688, 794, 749, 764, 718, 789, 695)(623, 724, 817, 711, 627, 728, 825, 725)(629, 731, 776, 681, 770, 726, 637, 732)(644, 738, 830, 860, 861, 843, 782, 714)(647, 686, 791, 848, 788, 683, 787, 751)(658, 761, 812, 854, 807, 849, 836, 762)(668, 775, 840, 863, 847, 808, 702, 772)(698, 768, 729, 827, 837, 765, 733, 804)(709, 814, 741, 828, 842, 862, 856, 815)(719, 820, 759, 834, 754, 826, 859, 821)(743, 795, 841, 778, 746, 792, 850, 831)(783, 844, 802, 851, 818, 857, 864, 845)
	L = (1, 433)(2, 434)(3, 435)(4, 436)(5, 437)(6, 438)(7, 439)(8, 440)(9, 441)(10, 442)(11, 443)(12, 444)(13, 445)(14, 446)(15, 447)(16, 448)(17, 449)(18, 450)(19, 451)(20, 452)(21, 453)(22, 454)(23, 455)(24, 456)(25, 457)(26, 458)(27, 459)(28, 460)(29, 461)(30, 462)(31, 463)(32, 464)(33, 465)(34, 466)(35, 467)(36, 468)(37, 469)(38, 470)(39, 471)(40, 472)(41, 473)(42, 474)(43, 475)(44, 476)(45, 477)(46, 478)(47, 479)(48, 480)(49, 481)(50, 482)(51, 483)(52, 484)(53, 485)(54, 486)(55, 487)(56, 488)(57, 489)(58, 490)(59, 491)(60, 492)(61, 493)(62, 494)(63, 495)(64, 496)(65, 497)(66, 498)(67, 499)(68, 500)(69, 501)(70, 502)(71, 503)(72, 504)(73, 505)(74, 506)(75, 507)(76, 508)(77, 509)(78, 510)(79, 511)(80, 512)(81, 513)(82, 514)(83, 515)(84, 516)(85, 517)(86, 518)(87, 519)(88, 520)(89, 521)(90, 522)(91, 523)(92, 524)(93, 525)(94, 526)(95, 527)(96, 528)(97, 529)(98, 530)(99, 531)(100, 532)(101, 533)(102, 534)(103, 535)(104, 536)(105, 537)(106, 538)(107, 539)(108, 540)(109, 541)(110, 542)(111, 543)(112, 544)(113, 545)(114, 546)(115, 547)(116, 548)(117, 549)(118, 550)(119, 551)(120, 552)(121, 553)(122, 554)(123, 555)(124, 556)(125, 557)(126, 558)(127, 559)(128, 560)(129, 561)(130, 562)(131, 563)(132, 564)(133, 565)(134, 566)(135, 567)(136, 568)(137, 569)(138, 570)(139, 571)(140, 572)(141, 573)(142, 574)(143, 575)(144, 576)(145, 577)(146, 578)(147, 579)(148, 580)(149, 581)(150, 582)(151, 583)(152, 584)(153, 585)(154, 586)(155, 587)(156, 588)(157, 589)(158, 590)(159, 591)(160, 592)(161, 593)(162, 594)(163, 595)(164, 596)(165, 597)(166, 598)(167, 599)(168, 600)(169, 601)(170, 602)(171, 603)(172, 604)(173, 605)(174, 606)(175, 607)(176, 608)(177, 609)(178, 610)(179, 611)(180, 612)(181, 613)(182, 614)(183, 615)(184, 616)(185, 617)(186, 618)(187, 619)(188, 620)(189, 621)(190, 622)(191, 623)(192, 624)(193, 625)(194, 626)(195, 627)(196, 628)(197, 629)(198, 630)(199, 631)(200, 632)(201, 633)(202, 634)(203, 635)(204, 636)(205, 637)(206, 638)(207, 639)(208, 640)(209, 641)(210, 642)(211, 643)(212, 644)(213, 645)(214, 646)(215, 647)(216, 648)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 162 e = 432 f = 216
	degree seq :: [ 4^108, 8^54 ]

E28.3261 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = $<432, 520>$ (small group id <432, 520>)
Aut   = $<432, 520>$ (small group id <432, 520>)
|r| :: 1
Presentation :: [ X2^2, (X2 * X1^-1)^4, X1^8, X2 * X1^4 * X2 * X1^3 * X2 * X1 * X2 * X1^-2, (X2 * X1 * X2 * X1^-2 * X2 * X1^-1)^2, X2 * X1^3 * X2 * X1^-3 * X2 * X1^-2 * X2 * X1 * X2 * X1^-1 * X2 * X1^2, (X2 * X1^2 * X2 * X1^-3 * X2 * X1^-1)^2, (X2 * X1^3 * X2 * X1^-1)^3 ]
Map:: polytopal
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 57, 37, 18, 8)(6, 13, 27, 51, 92, 56, 30, 14)(9, 19, 38, 69, 124, 74, 40, 20)(12, 25, 47, 86, 153, 91, 50, 26)(16, 33, 61, 110, 193, 114, 63, 34)(17, 35, 64, 115, 173, 97, 53, 28)(21, 41, 75, 134, 172, 139, 77, 42)(24, 45, 82, 147, 232, 152, 85, 46)(29, 54, 98, 174, 246, 158, 88, 48)(32, 59, 106, 187, 279, 192, 109, 60)(36, 66, 119, 203, 133, 208, 121, 67)(39, 71, 128, 214, 310, 215, 130, 72)(43, 78, 140, 169, 113, 197, 142, 79)(44, 80, 143, 108, 190, 231, 146, 81)(49, 89, 159, 247, 183, 103, 149, 83)(52, 94, 167, 259, 365, 262, 170, 95)(55, 100, 178, 123, 68, 122, 180, 101)(58, 104, 184, 274, 381, 278, 186, 105)(62, 112, 196, 289, 372, 264, 189, 107)(65, 117, 202, 297, 329, 249, 160, 118)(70, 126, 211, 306, 371, 309, 213, 127)(73, 131, 216, 312, 225, 316, 218, 132)(76, 136, 220, 319, 368, 320, 222, 137)(84, 150, 235, 335, 255, 164, 228, 144)(87, 155, 242, 346, 409, 349, 244, 156)(90, 161, 250, 182, 102, 181, 252, 162)(93, 165, 256, 360, 416, 364, 258, 166)(96, 171, 263, 370, 303, 351, 261, 168)(99, 176, 111, 195, 288, 337, 236, 177)(116, 200, 295, 391, 313, 339, 296, 201)(120, 205, 260, 367, 315, 393, 300, 206)(125, 148, 233, 333, 404, 396, 305, 210)(129, 191, 284, 385, 293, 198, 292, 212)(135, 219, 317, 388, 290, 345, 241, 154)(138, 223, 321, 390, 291, 389, 323, 224)(141, 145, 229, 328, 283, 343, 240, 226)(151, 237, 338, 254, 163, 253, 340, 238)(157, 245, 350, 304, 209, 273, 348, 243)(175, 266, 374, 280, 204, 298, 375, 267)(179, 269, 347, 302, 207, 301, 378, 270)(185, 276, 380, 272, 359, 286, 334, 234)(188, 281, 384, 422, 399, 314, 217, 282)(194, 271, 379, 414, 357, 251, 356, 287)(199, 275, 327, 257, 362, 415, 358, 294)(221, 308, 383, 421, 398, 311, 352, 318)(227, 325, 377, 403, 332, 402, 400, 326)(230, 330, 299, 342, 239, 341, 401, 331)(248, 353, 412, 366, 268, 376, 413, 354)(265, 361, 324, 344, 407, 426, 406, 373)(277, 382, 411, 363, 285, 386, 408, 369)(307, 336, 405, 425, 410, 355, 322, 397)(387, 419, 395, 418, 428, 431, 429, 424)(392, 420, 427, 432, 430, 423, 394, 417)(433, 435)(434, 438)(436, 441)(437, 444)(439, 448)(440, 449)(442, 453)(443, 456)(445, 460)(446, 461)(447, 464)(450, 468)(451, 471)(452, 465)(454, 475)(455, 476)(457, 480)(458, 481)(459, 484)(462, 487)(463, 490)(466, 494)(467, 497)(469, 500)(470, 502)(472, 505)(473, 508)(474, 503)(477, 515)(478, 516)(479, 519)(482, 522)(483, 525)(485, 528)(486, 531)(488, 534)(489, 535)(491, 539)(492, 540)(493, 543)(495, 545)(496, 548)(498, 552)(499, 549)(501, 557)(504, 561)(506, 565)(507, 567)(509, 570)(510, 573)(511, 568)(512, 576)(513, 577)(514, 580)(517, 583)(518, 586)(520, 589)(521, 592)(523, 595)(524, 596)(526, 600)(527, 601)(529, 604)(530, 607)(532, 611)(533, 608)(536, 575)(537, 617)(538, 620)(541, 623)(542, 626)(544, 602)(546, 630)(547, 631)(550, 594)(551, 636)(553, 639)(554, 641)(555, 637)(556, 590)(558, 644)(559, 579)(560, 634)(562, 622)(563, 649)(564, 627)(566, 588)(569, 653)(571, 657)(572, 597)(574, 659)(578, 662)(581, 666)(582, 668)(584, 671)(585, 672)(587, 675)(591, 680)(593, 683)(598, 689)(599, 692)(603, 676)(605, 696)(606, 697)(609, 670)(610, 700)(612, 703)(613, 704)(614, 701)(615, 705)(616, 707)(618, 709)(619, 712)(621, 715)(624, 717)(625, 718)(628, 722)(629, 723)(632, 684)(633, 706)(635, 714)(638, 731)(640, 735)(642, 677)(643, 739)(645, 740)(646, 734)(647, 743)(648, 745)(650, 747)(651, 750)(652, 720)(654, 664)(655, 754)(656, 729)(658, 756)(660, 759)(661, 761)(663, 764)(665, 766)(667, 768)(669, 771)(673, 776)(674, 779)(678, 783)(679, 784)(681, 763)(682, 787)(685, 790)(686, 788)(687, 791)(688, 793)(690, 795)(691, 798)(693, 800)(694, 801)(695, 803)(698, 772)(699, 792)(702, 809)(708, 797)(710, 815)(711, 782)(713, 760)(716, 796)(719, 765)(721, 819)(724, 767)(725, 821)(726, 775)(727, 824)(728, 774)(730, 762)(732, 813)(733, 826)(736, 827)(737, 818)(738, 823)(741, 814)(742, 780)(744, 829)(746, 770)(748, 804)(749, 786)(751, 799)(752, 805)(753, 789)(755, 816)(757, 808)(758, 769)(773, 838)(777, 840)(778, 842)(781, 843)(785, 833)(794, 841)(802, 849)(806, 850)(807, 835)(810, 848)(811, 851)(812, 852)(817, 855)(820, 846)(822, 845)(825, 856)(828, 839)(830, 834)(831, 836)(832, 837)(844, 859)(847, 860)(853, 861)(854, 862)(857, 863)(858, 864)
	L = (1, 433)(2, 434)(3, 435)(4, 436)(5, 437)(6, 438)(7, 439)(8, 440)(9, 441)(10, 442)(11, 443)(12, 444)(13, 445)(14, 446)(15, 447)(16, 448)(17, 449)(18, 450)(19, 451)(20, 452)(21, 453)(22, 454)(23, 455)(24, 456)(25, 457)(26, 458)(27, 459)(28, 460)(29, 461)(30, 462)(31, 463)(32, 464)(33, 465)(34, 466)(35, 467)(36, 468)(37, 469)(38, 470)(39, 471)(40, 472)(41, 473)(42, 474)(43, 475)(44, 476)(45, 477)(46, 478)(47, 479)(48, 480)(49, 481)(50, 482)(51, 483)(52, 484)(53, 485)(54, 486)(55, 487)(56, 488)(57, 489)(58, 490)(59, 491)(60, 492)(61, 493)(62, 494)(63, 495)(64, 496)(65, 497)(66, 498)(67, 499)(68, 500)(69, 501)(70, 502)(71, 503)(72, 504)(73, 505)(74, 506)(75, 507)(76, 508)(77, 509)(78, 510)(79, 511)(80, 512)(81, 513)(82, 514)(83, 515)(84, 516)(85, 517)(86, 518)(87, 519)(88, 520)(89, 521)(90, 522)(91, 523)(92, 524)(93, 525)(94, 526)(95, 527)(96, 528)(97, 529)(98, 530)(99, 531)(100, 532)(101, 533)(102, 534)(103, 535)(104, 536)(105, 537)(106, 538)(107, 539)(108, 540)(109, 541)(110, 542)(111, 543)(112, 544)(113, 545)(114, 546)(115, 547)(116, 548)(117, 549)(118, 550)(119, 551)(120, 552)(121, 553)(122, 554)(123, 555)(124, 556)(125, 557)(126, 558)(127, 559)(128, 560)(129, 561)(130, 562)(131, 563)(132, 564)(133, 565)(134, 566)(135, 567)(136, 568)(137, 569)(138, 570)(139, 571)(140, 572)(141, 573)(142, 574)(143, 575)(144, 576)(145, 577)(146, 578)(147, 579)(148, 580)(149, 581)(150, 582)(151, 583)(152, 584)(153, 585)(154, 586)(155, 587)(156, 588)(157, 589)(158, 590)(159, 591)(160, 592)(161, 593)(162, 594)(163, 595)(164, 596)(165, 597)(166, 598)(167, 599)(168, 600)(169, 601)(170, 602)(171, 603)(172, 604)(173, 605)(174, 606)(175, 607)(176, 608)(177, 609)(178, 610)(179, 611)(180, 612)(181, 613)(182, 614)(183, 615)(184, 616)(185, 617)(186, 618)(187, 619)(188, 620)(189, 621)(190, 622)(191, 623)(192, 624)(193, 625)(194, 626)(195, 627)(196, 628)(197, 629)(198, 630)(199, 631)(200, 632)(201, 633)(202, 634)(203, 635)(204, 636)(205, 637)(206, 638)(207, 639)(208, 640)(209, 641)(210, 642)(211, 643)(212, 644)(213, 645)(214, 646)(215, 647)(216, 648)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: chiral
Dual of E28.3263
Transitivity :: ET+
Graph:: simple bipartite
	v = 270 e = 432 f = 108
	degree seq :: [ 2^216, 8^54 ]

E28.3262 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = $<432, 520>$ (small group id <432, 520>)
Aut   = $<432, 520>$ (small group id <432, 520>)
|r| :: 1
Presentation :: [ X1^2, X2^4, (X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2^-1)^2, (X2^-1 * X1)^8, X1 * X2 * X1 * X2^-2 * X1 * X2 * X1 * X2^2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1 * X2, X2 * X1 * X2^-2 * X1 * X2^-2 * X1 * X2^-2 * X1 * X2^-2 * X1 * X2^2 * X1 * X2 ]
Map:: polyhedral non-degenerate
	R = (1, 433, 2, 434)(3, 435, 7, 439)(4, 436, 9, 441)(5, 437, 10, 442)(6, 438, 12, 444)(8, 440, 15, 447)(11, 443, 20, 452)(13, 445, 23, 455)(14, 446, 25, 457)(16, 448, 28, 460)(17, 449, 30, 462)(18, 450, 31, 463)(19, 451, 33, 465)(21, 453, 36, 468)(22, 454, 38, 470)(24, 456, 41, 473)(26, 458, 44, 476)(27, 459, 46, 478)(29, 461, 49, 481)(32, 464, 54, 486)(34, 466, 57, 489)(35, 467, 59, 491)(37, 469, 62, 494)(39, 471, 65, 497)(40, 472, 67, 499)(42, 474, 70, 502)(43, 475, 72, 504)(45, 477, 75, 507)(47, 479, 78, 510)(48, 480, 80, 512)(50, 482, 83, 515)(51, 483, 85, 517)(52, 484, 86, 518)(53, 485, 88, 520)(55, 487, 91, 523)(56, 488, 93, 525)(58, 490, 96, 528)(60, 492, 99, 531)(61, 493, 101, 533)(63, 495, 104, 536)(64, 496, 106, 538)(66, 498, 109, 541)(68, 500, 112, 544)(69, 501, 114, 546)(71, 503, 95, 527)(73, 505, 119, 551)(74, 506, 92, 524)(76, 508, 123, 555)(77, 509, 125, 557)(79, 511, 128, 560)(81, 513, 102, 534)(82, 514, 130, 562)(84, 516, 133, 565)(87, 519, 138, 570)(89, 521, 141, 573)(90, 522, 143, 575)(94, 526, 148, 580)(97, 529, 152, 584)(98, 530, 154, 586)(100, 532, 157, 589)(103, 535, 159, 591)(105, 537, 162, 594)(107, 539, 164, 596)(108, 540, 166, 598)(110, 542, 169, 601)(111, 543, 170, 602)(113, 545, 173, 605)(115, 547, 176, 608)(116, 548, 178, 610)(117, 549, 179, 611)(118, 550, 181, 613)(120, 552, 184, 616)(121, 553, 185, 617)(122, 554, 187, 619)(124, 556, 172, 604)(126, 558, 192, 624)(127, 559, 194, 626)(129, 561, 197, 629)(131, 563, 200, 632)(132, 564, 202, 634)(134, 566, 204, 636)(135, 567, 136, 568)(137, 569, 207, 639)(139, 571, 210, 642)(140, 572, 211, 643)(142, 574, 214, 646)(144, 576, 217, 649)(145, 577, 219, 651)(146, 578, 220, 652)(147, 579, 222, 654)(149, 581, 225, 657)(150, 582, 226, 658)(151, 583, 228, 660)(153, 585, 213, 645)(155, 587, 233, 665)(156, 588, 235, 667)(158, 590, 238, 670)(160, 592, 241, 673)(161, 593, 243, 675)(163, 595, 245, 677)(165, 597, 209, 641)(167, 599, 234, 666)(168, 600, 206, 638)(171, 603, 254, 686)(174, 606, 257, 689)(175, 607, 232, 664)(177, 609, 260, 692)(180, 612, 263, 695)(182, 614, 265, 697)(183, 615, 267, 699)(186, 618, 227, 659)(188, 620, 272, 704)(189, 621, 274, 706)(190, 622, 240, 672)(191, 623, 216, 648)(193, 625, 208, 640)(195, 627, 278, 710)(196, 628, 264, 696)(198, 630, 280, 712)(199, 631, 231, 663)(201, 633, 282, 714)(203, 635, 261, 693)(205, 637, 284, 716)(212, 644, 292, 724)(215, 647, 295, 727)(218, 650, 298, 730)(221, 653, 301, 733)(223, 655, 303, 735)(224, 656, 305, 737)(229, 661, 310, 742)(230, 662, 312, 744)(236, 668, 316, 748)(237, 669, 302, 734)(239, 671, 318, 750)(242, 674, 320, 752)(244, 676, 299, 731)(246, 678, 322, 754)(247, 679, 323, 755)(248, 680, 324, 756)(249, 681, 304, 736)(250, 682, 325, 757)(251, 683, 327, 759)(252, 684, 328, 760)(253, 685, 330, 762)(255, 687, 333, 765)(256, 688, 334, 766)(258, 690, 337, 769)(259, 691, 339, 771)(262, 694, 343, 775)(266, 698, 287, 719)(268, 700, 338, 770)(269, 701, 348, 780)(270, 702, 349, 781)(271, 703, 313, 745)(273, 705, 352, 784)(275, 707, 309, 741)(276, 708, 353, 785)(277, 709, 354, 786)(279, 711, 355, 787)(281, 713, 350, 782)(283, 715, 360, 792)(285, 717, 362, 794)(286, 718, 363, 795)(288, 720, 364, 796)(289, 721, 366, 798)(290, 722, 367, 799)(291, 723, 369, 801)(293, 725, 372, 804)(294, 726, 373, 805)(296, 728, 376, 808)(297, 729, 378, 810)(300, 732, 382, 814)(306, 738, 377, 809)(307, 739, 387, 819)(308, 740, 388, 820)(311, 743, 391, 823)(314, 746, 392, 824)(315, 747, 393, 825)(317, 749, 394, 826)(319, 751, 389, 821)(321, 753, 399, 831)(326, 758, 402, 834)(329, 761, 386, 818)(331, 763, 374, 806)(332, 764, 379, 811)(335, 767, 370, 802)(336, 768, 380, 812)(340, 772, 371, 803)(341, 773, 375, 807)(342, 774, 381, 813)(344, 776, 396, 828)(345, 777, 384, 816)(346, 778, 407, 839)(347, 779, 368, 800)(351, 783, 390, 822)(356, 788, 404, 836)(357, 789, 383, 815)(358, 790, 405, 837)(359, 791, 400, 832)(361, 793, 398, 830)(365, 797, 412, 844)(385, 817, 417, 849)(395, 827, 414, 846)(397, 829, 415, 847)(401, 833, 420, 852)(403, 835, 423, 855)(406, 838, 424, 856)(408, 840, 421, 853)(409, 841, 422, 854)(410, 842, 411, 843)(413, 845, 427, 859)(416, 848, 428, 860)(418, 850, 425, 857)(419, 851, 426, 858)(429, 861, 432, 864)(430, 862, 431, 863)
	L = (1, 435)(2, 437)(3, 440)(4, 433)(5, 443)(6, 434)(7, 445)(8, 436)(9, 448)(10, 450)(11, 438)(12, 453)(13, 456)(14, 439)(15, 458)(16, 461)(17, 441)(18, 464)(19, 442)(20, 466)(21, 469)(22, 444)(23, 471)(24, 446)(25, 474)(26, 477)(27, 447)(28, 479)(29, 449)(30, 482)(31, 484)(32, 451)(33, 487)(34, 490)(35, 452)(36, 492)(37, 454)(38, 495)(39, 498)(40, 455)(41, 500)(42, 503)(43, 457)(44, 505)(45, 459)(46, 508)(47, 511)(48, 460)(49, 513)(50, 516)(51, 462)(52, 519)(53, 463)(54, 521)(55, 524)(56, 465)(57, 526)(58, 467)(59, 529)(60, 532)(61, 468)(62, 534)(63, 537)(64, 470)(65, 539)(66, 472)(67, 542)(68, 545)(69, 473)(70, 547)(71, 475)(72, 549)(73, 552)(74, 476)(75, 553)(76, 556)(77, 478)(78, 558)(79, 480)(80, 543)(81, 561)(82, 481)(83, 563)(84, 483)(85, 566)(86, 568)(87, 485)(88, 571)(89, 574)(90, 486)(91, 576)(92, 488)(93, 578)(94, 581)(95, 489)(96, 582)(97, 585)(98, 491)(99, 587)(100, 493)(101, 572)(102, 590)(103, 494)(104, 592)(105, 496)(106, 595)(107, 597)(108, 497)(109, 599)(110, 512)(111, 499)(112, 603)(113, 501)(114, 606)(115, 609)(116, 502)(117, 612)(118, 504)(119, 614)(120, 506)(121, 618)(122, 507)(123, 620)(124, 509)(125, 622)(126, 625)(127, 510)(128, 627)(129, 514)(130, 630)(131, 633)(132, 515)(133, 617)(134, 637)(135, 517)(136, 638)(137, 518)(138, 640)(139, 533)(140, 520)(141, 644)(142, 522)(143, 647)(144, 650)(145, 523)(146, 653)(147, 525)(148, 655)(149, 527)(150, 659)(151, 528)(152, 661)(153, 530)(154, 663)(155, 666)(156, 531)(157, 668)(158, 535)(159, 671)(160, 674)(161, 536)(162, 658)(163, 678)(164, 538)(165, 540)(166, 679)(167, 681)(168, 541)(169, 682)(170, 684)(171, 673)(172, 544)(173, 687)(174, 665)(175, 546)(176, 690)(177, 548)(178, 680)(179, 693)(180, 550)(181, 696)(182, 698)(183, 551)(184, 700)(185, 701)(186, 554)(187, 702)(188, 705)(189, 555)(190, 707)(191, 557)(192, 648)(193, 559)(194, 708)(195, 711)(196, 560)(197, 688)(198, 713)(199, 562)(200, 645)(201, 564)(202, 709)(203, 565)(204, 657)(205, 567)(206, 569)(207, 717)(208, 719)(209, 570)(210, 720)(211, 722)(212, 632)(213, 573)(214, 725)(215, 624)(216, 575)(217, 728)(218, 577)(219, 718)(220, 731)(221, 579)(222, 734)(223, 736)(224, 580)(225, 738)(226, 739)(227, 583)(228, 740)(229, 743)(230, 584)(231, 745)(232, 586)(233, 607)(234, 588)(235, 746)(236, 749)(237, 589)(238, 726)(239, 751)(240, 591)(241, 604)(242, 593)(243, 747)(244, 594)(245, 616)(246, 596)(247, 610)(248, 598)(249, 600)(250, 758)(251, 601)(252, 761)(253, 602)(254, 763)(255, 629)(256, 605)(257, 767)(258, 770)(259, 608)(260, 772)(261, 774)(262, 611)(263, 765)(264, 777)(265, 613)(266, 615)(267, 778)(268, 753)(269, 635)(270, 769)(271, 619)(272, 782)(273, 621)(274, 779)(275, 623)(276, 634)(277, 626)(278, 783)(279, 628)(280, 788)(281, 631)(282, 790)(283, 636)(284, 766)(285, 651)(286, 639)(287, 641)(288, 797)(289, 642)(290, 800)(291, 643)(292, 802)(293, 670)(294, 646)(295, 806)(296, 809)(297, 649)(298, 811)(299, 813)(300, 652)(301, 804)(302, 816)(303, 654)(304, 656)(305, 817)(306, 715)(307, 676)(308, 808)(309, 660)(310, 821)(311, 662)(312, 818)(313, 664)(314, 675)(315, 667)(316, 822)(317, 669)(318, 827)(319, 672)(320, 829)(321, 677)(322, 805)(323, 826)(324, 823)(325, 830)(326, 683)(327, 832)(328, 828)(329, 685)(330, 807)(331, 831)(332, 686)(333, 835)(334, 798)(335, 801)(336, 689)(337, 703)(338, 691)(339, 836)(340, 838)(341, 692)(342, 694)(343, 837)(344, 695)(345, 697)(346, 706)(347, 699)(348, 794)(349, 824)(350, 710)(351, 704)(352, 825)(353, 842)(354, 833)(355, 840)(356, 799)(357, 712)(358, 796)(359, 714)(360, 803)(361, 716)(362, 787)(363, 784)(364, 791)(365, 721)(366, 793)(367, 789)(368, 723)(369, 768)(370, 792)(371, 724)(372, 845)(373, 759)(374, 762)(375, 727)(376, 741)(377, 729)(378, 846)(379, 848)(380, 730)(381, 732)(382, 847)(383, 733)(384, 735)(385, 744)(386, 737)(387, 755)(388, 785)(389, 748)(390, 742)(391, 786)(392, 852)(393, 843)(394, 850)(395, 760)(396, 750)(397, 757)(398, 752)(399, 764)(400, 754)(401, 756)(402, 853)(403, 776)(404, 775)(405, 771)(406, 773)(407, 856)(408, 780)(409, 781)(410, 851)(411, 795)(412, 857)(413, 815)(414, 814)(415, 810)(416, 812)(417, 860)(418, 819)(419, 820)(420, 841)(421, 861)(422, 834)(423, 839)(424, 862)(425, 863)(426, 844)(427, 849)(428, 864)(429, 854)(430, 855)(431, 858)(432, 859)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: simple bipartite
	v = 216 e = 432 f = 162
	degree seq :: [ 4^216 ]

E28.3263 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = $<432, 520>$ (small group id <432, 520>)
Aut   = $<432, 520>$ (small group id <432, 520>)
|r| :: 1
Presentation :: [ X1^4, X1^4, (X2 * X1)^2, X2^8, X2^-2 * X1 * X2^-3 * X1 * X2^3 * X1^-2, X2^-2 * X1^-2 * X2^2 * X1^-2 * X2 * X1^-1 * X2 * X1^-1, (X2^-1 * X1)^6, X2^4 * X1^2 * X2^-1 * X1^-2 * X2^-1 * X1 * X2^-2 * X1, X1^-1 * X2^-1 * X1 * X2^2 * X1^-1 * X2^4 * X1 * X2^-2 * X1^-1 * X2 * X1^-1, X2^3 * X1^-1 * X2^-2 * X1^2 * X2^-3 * X1 * X2 * X1^-1 * X2 * X1^-1 ]
Map::
	R = (1, 433, 2, 434, 6, 438, 4, 436)(3, 435, 9, 441, 21, 453, 11, 443)(5, 437, 13, 445, 18, 450, 7, 439)(8, 440, 19, 451, 34, 466, 15, 447)(10, 442, 23, 455, 49, 481, 25, 457)(12, 444, 16, 448, 35, 467, 28, 460)(14, 446, 31, 463, 62, 494, 29, 461)(17, 449, 37, 469, 76, 508, 39, 471)(20, 452, 43, 475, 85, 517, 41, 473)(22, 454, 47, 479, 92, 524, 45, 477)(24, 456, 51, 483, 103, 535, 53, 485)(26, 458, 46, 478, 93, 525, 56, 488)(27, 459, 57, 489, 114, 546, 59, 491)(30, 462, 63, 495, 83, 515, 40, 472)(32, 464, 67, 499, 130, 562, 65, 497)(33, 465, 68, 500, 134, 566, 70, 502)(36, 468, 74, 506, 143, 575, 72, 504)(38, 470, 78, 510, 153, 585, 80, 512)(42, 474, 86, 518, 141, 573, 71, 503)(44, 476, 90, 522, 173, 605, 88, 520)(48, 480, 97, 529, 184, 616, 95, 527)(50, 482, 101, 533, 135, 567, 99, 531)(52, 484, 105, 537, 197, 629, 106, 538)(54, 486, 100, 532, 189, 621, 109, 541)(55, 487, 110, 542, 147, 579, 112, 544)(58, 490, 116, 548, 209, 641, 117, 549)(60, 492, 73, 505, 144, 576, 120, 552)(61, 493, 121, 553, 215, 647, 123, 555)(64, 496, 127, 559, 219, 651, 125, 557)(66, 498, 131, 563, 140, 572, 124, 556)(69, 501, 136, 568, 230, 662, 138, 570)(75, 507, 148, 580, 246, 678, 146, 578)(77, 509, 151, 583, 115, 547, 149, 581)(79, 511, 155, 587, 256, 688, 156, 588)(81, 513, 150, 582, 249, 681, 159, 591)(82, 514, 160, 592, 96, 528, 162, 594)(84, 516, 164, 596, 266, 698, 166, 598)(87, 519, 170, 602, 270, 702, 168, 600)(89, 521, 174, 606, 119, 551, 167, 599)(91, 523, 177, 609, 279, 711, 179, 611)(94, 526, 182, 614, 285, 717, 180, 612)(98, 530, 187, 619, 286, 718, 185, 617)(102, 534, 191, 623, 291, 723, 190, 622)(104, 536, 195, 627, 280, 712, 193, 625)(107, 539, 194, 626, 234, 666, 157, 589)(108, 540, 200, 632, 122, 554, 202, 634)(111, 543, 204, 636, 306, 738, 205, 637)(113, 545, 181, 613, 238, 670, 169, 601)(118, 550, 199, 631, 300, 732, 212, 644)(126, 558, 214, 646, 243, 675, 163, 595)(128, 560, 183, 615, 245, 677, 171, 603)(129, 561, 221, 653, 309, 741, 206, 638)(132, 564, 225, 657, 327, 759, 223, 655)(133, 565, 226, 658, 265, 697, 222, 654)(137, 569, 232, 664, 338, 770, 233, 665)(139, 571, 228, 660, 332, 764, 236, 668)(142, 574, 239, 671, 346, 778, 241, 673)(145, 577, 244, 676, 350, 782, 242, 674)(152, 584, 251, 683, 354, 786, 250, 682)(154, 586, 254, 686, 216, 648, 253, 685)(158, 590, 258, 690, 165, 597, 260, 692)(161, 593, 262, 694, 203, 635, 263, 695)(172, 604, 272, 704, 370, 802, 264, 696)(175, 607, 276, 708, 380, 812, 274, 706)(176, 608, 277, 709, 345, 777, 273, 705)(178, 610, 281, 713, 211, 643, 282, 714)(186, 618, 287, 719, 207, 639, 271, 703)(188, 620, 229, 661, 333, 765, 290, 722)(192, 624, 294, 726, 339, 771, 292, 724)(196, 628, 297, 729, 337, 769, 296, 728)(198, 630, 301, 733, 334, 766, 299, 731)(201, 633, 303, 735, 396, 828, 304, 736)(208, 640, 311, 743, 353, 785, 248, 680)(210, 642, 314, 746, 347, 779, 313, 745)(213, 645, 275, 707, 343, 775, 317, 749)(217, 649, 319, 751, 391, 823, 322, 754)(218, 650, 323, 755, 393, 825, 325, 757)(220, 652, 247, 679, 351, 783, 318, 750)(224, 656, 261, 693, 344, 776, 237, 669)(227, 659, 331, 763, 379, 811, 329, 761)(231, 663, 336, 768, 267, 699, 335, 767)(235, 667, 340, 772, 240, 672, 342, 774)(252, 684, 357, 789, 289, 721, 355, 787)(255, 687, 360, 792, 315, 747, 359, 791)(257, 689, 363, 795, 312, 744, 362, 794)(259, 691, 365, 797, 419, 851, 366, 798)(268, 700, 372, 804, 302, 734, 375, 807)(269, 701, 376, 808, 416, 848, 378, 810)(278, 710, 384, 816, 308, 740, 382, 814)(283, 715, 385, 817, 407, 839, 386, 818)(284, 716, 387, 819, 418, 850, 361, 793)(288, 720, 390, 822, 326, 758, 388, 820)(293, 725, 392, 824, 305, 737, 368, 800)(295, 727, 371, 803, 330, 762, 394, 826)(298, 730, 349, 781, 411, 843, 395, 827)(307, 739, 399, 831, 426, 858, 398, 830)(310, 742, 389, 821, 425, 857, 401, 833)(316, 748, 374, 806, 422, 854, 377, 809)(320, 752, 383, 815, 417, 849, 358, 790)(321, 753, 402, 834, 324, 756, 341, 773)(328, 760, 356, 788, 415, 847, 367, 799)(348, 780, 409, 841, 364, 796, 410, 842)(352, 784, 414, 846, 369, 801, 412, 844)(373, 805, 413, 845, 430, 862, 406, 838)(381, 813, 405, 837, 429, 861, 408, 840)(397, 829, 420, 852, 431, 863, 428, 860)(400, 832, 423, 855, 403, 835, 421, 853)(404, 836, 424, 856, 432, 864, 427, 859)
	L = (1, 435)(2, 439)(3, 442)(4, 444)(5, 433)(6, 447)(7, 449)(8, 434)(9, 436)(10, 456)(11, 458)(12, 459)(13, 461)(14, 437)(15, 465)(16, 438)(17, 470)(18, 472)(19, 473)(20, 440)(21, 477)(22, 441)(23, 443)(24, 484)(25, 486)(26, 487)(27, 490)(28, 492)(29, 493)(30, 445)(31, 497)(32, 446)(33, 501)(34, 503)(35, 504)(36, 448)(37, 450)(38, 511)(39, 513)(40, 514)(41, 516)(42, 451)(43, 520)(44, 452)(45, 523)(46, 453)(47, 527)(48, 454)(49, 531)(50, 455)(51, 457)(52, 464)(53, 539)(54, 540)(55, 543)(56, 545)(57, 460)(58, 530)(59, 550)(60, 551)(61, 554)(62, 556)(63, 557)(64, 462)(65, 561)(66, 463)(67, 538)(68, 466)(69, 569)(70, 571)(71, 572)(72, 574)(73, 467)(74, 578)(75, 468)(76, 581)(77, 469)(78, 471)(79, 476)(80, 589)(81, 590)(82, 593)(83, 595)(84, 597)(85, 599)(86, 600)(87, 474)(88, 604)(89, 475)(90, 588)(91, 610)(92, 592)(93, 612)(94, 478)(95, 607)(96, 479)(97, 617)(98, 480)(99, 620)(100, 481)(101, 622)(102, 482)(103, 625)(104, 483)(105, 485)(106, 631)(107, 585)(108, 633)(109, 635)(110, 488)(111, 624)(112, 638)(113, 639)(114, 583)(115, 489)(116, 491)(117, 626)(118, 643)(119, 645)(120, 646)(121, 494)(122, 614)(123, 649)(124, 573)(125, 650)(126, 495)(127, 603)(128, 496)(129, 579)(130, 654)(131, 655)(132, 498)(133, 499)(134, 533)(135, 500)(136, 502)(137, 507)(138, 666)(139, 667)(140, 669)(141, 670)(142, 672)(143, 542)(144, 674)(145, 505)(146, 564)(147, 506)(148, 665)(149, 680)(150, 508)(151, 682)(152, 509)(153, 685)(154, 510)(155, 512)(156, 532)(157, 662)(158, 691)(159, 693)(160, 515)(161, 684)(162, 696)(163, 697)(164, 517)(165, 559)(166, 700)(167, 552)(168, 701)(169, 518)(170, 677)(171, 519)(172, 528)(173, 705)(174, 706)(175, 521)(176, 522)(177, 524)(178, 676)(179, 715)(180, 716)(181, 525)(182, 560)(183, 526)(184, 703)(185, 660)(186, 529)(187, 549)(188, 710)(189, 688)(190, 720)(191, 724)(192, 534)(193, 727)(194, 535)(195, 728)(196, 536)(197, 731)(198, 537)(199, 546)(200, 541)(201, 730)(202, 555)(203, 737)(204, 544)(205, 732)(206, 740)(207, 742)(208, 547)(209, 745)(210, 548)(211, 748)(212, 738)(213, 744)(214, 750)(215, 686)(216, 553)(217, 753)(218, 756)(219, 690)(220, 558)(221, 562)(222, 675)(223, 758)(224, 563)(225, 678)(226, 761)(227, 565)(228, 566)(229, 567)(230, 767)(231, 568)(232, 570)(233, 582)(234, 641)(235, 773)(236, 775)(237, 766)(238, 777)(239, 575)(240, 602)(241, 780)(242, 781)(243, 576)(244, 615)(245, 577)(246, 652)(247, 580)(248, 784)(249, 770)(250, 659)(251, 787)(252, 584)(253, 790)(254, 791)(255, 586)(256, 794)(257, 587)(258, 591)(259, 793)(260, 598)(261, 799)(262, 594)(263, 621)(264, 801)(265, 803)(266, 768)(267, 596)(268, 806)(269, 809)(270, 772)(271, 601)(272, 605)(273, 613)(274, 811)(275, 606)(276, 616)(277, 814)(278, 608)(279, 627)(280, 609)(281, 611)(282, 644)(283, 797)(284, 798)(285, 632)(286, 789)(287, 820)(288, 618)(289, 619)(290, 813)(291, 800)(292, 817)(293, 623)(294, 637)(295, 823)(296, 825)(297, 827)(298, 628)(299, 776)(300, 629)(301, 804)(302, 630)(303, 634)(304, 653)(305, 829)(306, 830)(307, 636)(308, 832)(309, 828)(310, 779)(311, 795)(312, 640)(313, 833)(314, 792)(315, 642)(316, 810)(317, 764)(318, 805)(319, 647)(320, 648)(321, 774)(322, 826)(323, 651)(324, 657)(325, 769)(326, 835)(327, 834)(328, 656)(329, 812)(330, 658)(331, 786)(332, 718)(333, 733)(334, 661)(335, 838)(336, 729)(337, 663)(338, 726)(339, 664)(340, 668)(341, 757)(342, 673)(343, 840)(344, 681)(345, 752)(346, 746)(347, 671)(348, 735)(349, 736)(350, 714)(351, 844)(352, 679)(353, 739)(354, 760)(355, 751)(356, 683)(357, 695)(358, 734)(359, 848)(360, 850)(361, 687)(362, 749)(363, 841)(364, 689)(365, 692)(366, 704)(367, 852)(368, 694)(369, 853)(370, 851)(371, 712)(372, 698)(373, 699)(374, 713)(375, 849)(376, 702)(377, 708)(378, 747)(379, 855)(380, 854)(381, 707)(382, 741)(383, 709)(384, 722)(385, 711)(386, 857)(387, 717)(388, 759)(389, 719)(390, 723)(391, 721)(392, 755)(393, 725)(394, 859)(395, 837)(396, 842)(397, 858)(398, 860)(399, 743)(400, 846)(401, 839)(402, 754)(403, 763)(404, 762)(405, 765)(406, 796)(407, 771)(408, 863)(409, 778)(410, 862)(411, 782)(412, 802)(413, 783)(414, 785)(415, 808)(416, 788)(417, 836)(418, 831)(419, 818)(420, 824)(421, 822)(422, 807)(423, 816)(424, 815)(425, 864)(426, 819)(427, 821)(428, 861)(429, 843)(430, 856)(431, 847)(432, 845)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: chiral
Dual of E28.3261
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 108 e = 432 f = 270
	degree seq :: [ 8^108 ]

E28.3264 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = $<432, 520>$ (small group id <432, 520>)
Aut   = $<432, 520>$ (small group id <432, 520>)
|r| :: 1
Presentation :: [ X2^2, (X2 * X1^-1)^4, X1^8, X2 * X1^4 * X2 * X1^3 * X2 * X1 * X2 * X1^-2, (X2 * X1 * X2 * X1^-2 * X2 * X1^-1)^2, X2 * X1^3 * X2 * X1^-3 * X2 * X1^-2 * X2 * X1 * X2 * X1^-1 * X2 * X1^2, (X2 * X1^2 * X2 * X1^-3 * X2 * X1^-1)^2, (X2 * X1^3 * X2 * X1^-1)^3 ]
Map::
	R = (1, 433, 2, 434, 5, 437, 11, 443, 23, 455, 22, 454, 10, 442, 4, 436)(3, 435, 7, 439, 15, 447, 31, 463, 57, 489, 37, 469, 18, 450, 8, 440)(6, 438, 13, 445, 27, 459, 51, 483, 92, 524, 56, 488, 30, 462, 14, 446)(9, 441, 19, 451, 38, 470, 69, 501, 124, 556, 74, 506, 40, 472, 20, 452)(12, 444, 25, 457, 47, 479, 86, 518, 153, 585, 91, 523, 50, 482, 26, 458)(16, 448, 33, 465, 61, 493, 110, 542, 193, 625, 114, 546, 63, 495, 34, 466)(17, 449, 35, 467, 64, 496, 115, 547, 173, 605, 97, 529, 53, 485, 28, 460)(21, 453, 41, 473, 75, 507, 134, 566, 172, 604, 139, 571, 77, 509, 42, 474)(24, 456, 45, 477, 82, 514, 147, 579, 232, 664, 152, 584, 85, 517, 46, 478)(29, 461, 54, 486, 98, 530, 174, 606, 246, 678, 158, 590, 88, 520, 48, 480)(32, 464, 59, 491, 106, 538, 187, 619, 279, 711, 192, 624, 109, 541, 60, 492)(36, 468, 66, 498, 119, 551, 203, 635, 133, 565, 208, 640, 121, 553, 67, 499)(39, 471, 71, 503, 128, 560, 214, 646, 310, 742, 215, 647, 130, 562, 72, 504)(43, 475, 78, 510, 140, 572, 169, 601, 113, 545, 197, 629, 142, 574, 79, 511)(44, 476, 80, 512, 143, 575, 108, 540, 190, 622, 231, 663, 146, 578, 81, 513)(49, 481, 89, 521, 159, 591, 247, 679, 183, 615, 103, 535, 149, 581, 83, 515)(52, 484, 94, 526, 167, 599, 259, 691, 365, 797, 262, 694, 170, 602, 95, 527)(55, 487, 100, 532, 178, 610, 123, 555, 68, 500, 122, 554, 180, 612, 101, 533)(58, 490, 104, 536, 184, 616, 274, 706, 381, 813, 278, 710, 186, 618, 105, 537)(62, 494, 112, 544, 196, 628, 289, 721, 372, 804, 264, 696, 189, 621, 107, 539)(65, 497, 117, 549, 202, 634, 297, 729, 329, 761, 249, 681, 160, 592, 118, 550)(70, 502, 126, 558, 211, 643, 306, 738, 371, 803, 309, 741, 213, 645, 127, 559)(73, 505, 131, 563, 216, 648, 312, 744, 225, 657, 316, 748, 218, 650, 132, 564)(76, 508, 136, 568, 220, 652, 319, 751, 368, 800, 320, 752, 222, 654, 137, 569)(84, 516, 150, 582, 235, 667, 335, 767, 255, 687, 164, 596, 228, 660, 144, 576)(87, 519, 155, 587, 242, 674, 346, 778, 409, 841, 349, 781, 244, 676, 156, 588)(90, 522, 161, 593, 250, 682, 182, 614, 102, 534, 181, 613, 252, 684, 162, 594)(93, 525, 165, 597, 256, 688, 360, 792, 416, 848, 364, 796, 258, 690, 166, 598)(96, 528, 171, 603, 263, 695, 370, 802, 303, 735, 351, 783, 261, 693, 168, 600)(99, 531, 176, 608, 111, 543, 195, 627, 288, 720, 337, 769, 236, 668, 177, 609)(116, 548, 200, 632, 295, 727, 391, 823, 313, 745, 339, 771, 296, 728, 201, 633)(120, 552, 205, 637, 260, 692, 367, 799, 315, 747, 393, 825, 300, 732, 206, 638)(125, 557, 148, 580, 233, 665, 333, 765, 404, 836, 396, 828, 305, 737, 210, 642)(129, 561, 191, 623, 284, 716, 385, 817, 293, 725, 198, 630, 292, 724, 212, 644)(135, 567, 219, 651, 317, 749, 388, 820, 290, 722, 345, 777, 241, 673, 154, 586)(138, 570, 223, 655, 321, 753, 390, 822, 291, 723, 389, 821, 323, 755, 224, 656)(141, 573, 145, 577, 229, 661, 328, 760, 283, 715, 343, 775, 240, 672, 226, 658)(151, 583, 237, 669, 338, 770, 254, 686, 163, 595, 253, 685, 340, 772, 238, 670)(157, 589, 245, 677, 350, 782, 304, 736, 209, 641, 273, 705, 348, 780, 243, 675)(175, 607, 266, 698, 374, 806, 280, 712, 204, 636, 298, 730, 375, 807, 267, 699)(179, 611, 269, 701, 347, 779, 302, 734, 207, 639, 301, 733, 378, 810, 270, 702)(185, 617, 276, 708, 380, 812, 272, 704, 359, 791, 286, 718, 334, 766, 234, 666)(188, 620, 281, 713, 384, 816, 422, 854, 399, 831, 314, 746, 217, 649, 282, 714)(194, 626, 271, 703, 379, 811, 414, 846, 357, 789, 251, 683, 356, 788, 287, 719)(199, 631, 275, 707, 327, 759, 257, 689, 362, 794, 415, 847, 358, 790, 294, 726)(221, 653, 308, 740, 383, 815, 421, 853, 398, 830, 311, 743, 352, 784, 318, 750)(227, 659, 325, 757, 377, 809, 403, 835, 332, 764, 402, 834, 400, 832, 326, 758)(230, 662, 330, 762, 299, 731, 342, 774, 239, 671, 341, 773, 401, 833, 331, 763)(248, 680, 353, 785, 412, 844, 366, 798, 268, 700, 376, 808, 413, 845, 354, 786)(265, 697, 361, 793, 324, 756, 344, 776, 407, 839, 426, 858, 406, 838, 373, 805)(277, 709, 382, 814, 411, 843, 363, 795, 285, 717, 386, 818, 408, 840, 369, 801)(307, 739, 336, 768, 405, 837, 425, 857, 410, 842, 355, 787, 322, 754, 397, 829)(387, 819, 419, 851, 395, 827, 418, 850, 428, 860, 431, 863, 429, 861, 424, 856)(392, 824, 420, 852, 427, 859, 432, 864, 430, 862, 423, 855, 394, 826, 417, 849)
	L = (1, 435)(2, 438)(3, 433)(4, 441)(5, 444)(6, 434)(7, 448)(8, 449)(9, 436)(10, 453)(11, 456)(12, 437)(13, 460)(14, 461)(15, 464)(16, 439)(17, 440)(18, 468)(19, 471)(20, 465)(21, 442)(22, 475)(23, 476)(24, 443)(25, 480)(26, 481)(27, 484)(28, 445)(29, 446)(30, 487)(31, 490)(32, 447)(33, 452)(34, 494)(35, 497)(36, 450)(37, 500)(38, 502)(39, 451)(40, 505)(41, 508)(42, 503)(43, 454)(44, 455)(45, 515)(46, 516)(47, 519)(48, 457)(49, 458)(50, 522)(51, 525)(52, 459)(53, 528)(54, 531)(55, 462)(56, 534)(57, 535)(58, 463)(59, 539)(60, 540)(61, 543)(62, 466)(63, 545)(64, 548)(65, 467)(66, 552)(67, 549)(68, 469)(69, 557)(70, 470)(71, 474)(72, 561)(73, 472)(74, 565)(75, 567)(76, 473)(77, 570)(78, 573)(79, 568)(80, 576)(81, 577)(82, 580)(83, 477)(84, 478)(85, 583)(86, 586)(87, 479)(88, 589)(89, 592)(90, 482)(91, 595)(92, 596)(93, 483)(94, 600)(95, 601)(96, 485)(97, 604)(98, 607)(99, 486)(100, 611)(101, 608)(102, 488)(103, 489)(104, 575)(105, 617)(106, 620)(107, 491)(108, 492)(109, 623)(110, 626)(111, 493)(112, 602)(113, 495)(114, 630)(115, 631)(116, 496)(117, 499)(118, 594)(119, 636)(120, 498)(121, 639)(122, 641)(123, 637)(124, 590)(125, 501)(126, 644)(127, 579)(128, 634)(129, 504)(130, 622)(131, 649)(132, 627)(133, 506)(134, 588)(135, 507)(136, 511)(137, 653)(138, 509)(139, 657)(140, 597)(141, 510)(142, 659)(143, 536)(144, 512)(145, 513)(146, 662)(147, 559)(148, 514)(149, 666)(150, 668)(151, 517)(152, 671)(153, 672)(154, 518)(155, 675)(156, 566)(157, 520)(158, 556)(159, 680)(160, 521)(161, 683)(162, 550)(163, 523)(164, 524)(165, 572)(166, 689)(167, 692)(168, 526)(169, 527)(170, 544)(171, 676)(172, 529)(173, 696)(174, 697)(175, 530)(176, 533)(177, 670)(178, 700)(179, 532)(180, 703)(181, 704)(182, 701)(183, 705)(184, 707)(185, 537)(186, 709)(187, 712)(188, 538)(189, 715)(190, 562)(191, 541)(192, 717)(193, 718)(194, 542)(195, 564)(196, 722)(197, 723)(198, 546)(199, 547)(200, 684)(201, 706)(202, 560)(203, 714)(204, 551)(205, 555)(206, 731)(207, 553)(208, 735)(209, 554)(210, 677)(211, 739)(212, 558)(213, 740)(214, 734)(215, 743)(216, 745)(217, 563)(218, 747)(219, 750)(220, 720)(221, 569)(222, 664)(223, 754)(224, 729)(225, 571)(226, 756)(227, 574)(228, 759)(229, 761)(230, 578)(231, 764)(232, 654)(233, 766)(234, 581)(235, 768)(236, 582)(237, 771)(238, 609)(239, 584)(240, 585)(241, 776)(242, 779)(243, 587)(244, 603)(245, 642)(246, 783)(247, 784)(248, 591)(249, 763)(250, 787)(251, 593)(252, 632)(253, 790)(254, 788)(255, 791)(256, 793)(257, 598)(258, 795)(259, 798)(260, 599)(261, 800)(262, 801)(263, 803)(264, 605)(265, 606)(266, 772)(267, 792)(268, 610)(269, 614)(270, 809)(271, 612)(272, 613)(273, 615)(274, 633)(275, 616)(276, 797)(277, 618)(278, 815)(279, 782)(280, 619)(281, 760)(282, 635)(283, 621)(284, 796)(285, 624)(286, 625)(287, 765)(288, 652)(289, 819)(290, 628)(291, 629)(292, 767)(293, 821)(294, 775)(295, 824)(296, 774)(297, 656)(298, 762)(299, 638)(300, 813)(301, 826)(302, 646)(303, 640)(304, 827)(305, 818)(306, 823)(307, 643)(308, 645)(309, 814)(310, 780)(311, 647)(312, 829)(313, 648)(314, 770)(315, 650)(316, 804)(317, 786)(318, 651)(319, 799)(320, 805)(321, 789)(322, 655)(323, 816)(324, 658)(325, 808)(326, 769)(327, 660)(328, 713)(329, 661)(330, 730)(331, 681)(332, 663)(333, 719)(334, 665)(335, 724)(336, 667)(337, 758)(338, 746)(339, 669)(340, 698)(341, 838)(342, 728)(343, 726)(344, 673)(345, 840)(346, 842)(347, 674)(348, 742)(349, 843)(350, 711)(351, 678)(352, 679)(353, 833)(354, 749)(355, 682)(356, 686)(357, 753)(358, 685)(359, 687)(360, 699)(361, 688)(362, 841)(363, 690)(364, 716)(365, 708)(366, 691)(367, 751)(368, 693)(369, 694)(370, 849)(371, 695)(372, 748)(373, 752)(374, 850)(375, 835)(376, 757)(377, 702)(378, 848)(379, 851)(380, 852)(381, 732)(382, 741)(383, 710)(384, 755)(385, 855)(386, 737)(387, 721)(388, 846)(389, 725)(390, 845)(391, 738)(392, 727)(393, 856)(394, 733)(395, 736)(396, 839)(397, 744)(398, 834)(399, 836)(400, 837)(401, 785)(402, 830)(403, 807)(404, 831)(405, 832)(406, 773)(407, 828)(408, 777)(409, 794)(410, 778)(411, 781)(412, 859)(413, 822)(414, 820)(415, 860)(416, 810)(417, 802)(418, 806)(419, 811)(420, 812)(421, 861)(422, 862)(423, 817)(424, 825)(425, 863)(426, 864)(427, 844)(428, 847)(429, 853)(430, 854)(431, 857)(432, 858)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 54 e = 432 f = 324
	degree seq :: [ 16^54 ]

E28.3265 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 3, 24})
Quotient :: regular
Aut^+ = $<432, 248>$ (small group id <432, 248>)
Aut   = $<864, 2225>$ (small group id <864, 2225>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1 * T2)^3, (T1^-1 * T2)^3, T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^4 * T2 * T1^2 * T2 * T1^-2, (T1 * T2 * T1^-5 * T2 * T1)^2, T1^24 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 21, 37, 63, 105, 173, 263, 346, 398, 424, 416, 384, 327, 262, 172, 104, 62, 36, 20, 10, 4)(3, 7, 15, 27, 47, 79, 131, 215, 280, 184, 279, 360, 406, 367, 290, 251, 335, 239, 151, 91, 54, 31, 17, 8)(6, 13, 25, 43, 73, 121, 199, 297, 354, 273, 223, 318, 383, 339, 244, 158, 247, 310, 214, 130, 78, 46, 26, 14)(9, 18, 32, 55, 92, 152, 240, 289, 192, 116, 191, 288, 366, 301, 205, 303, 375, 325, 230, 143, 86, 51, 29, 16)(12, 23, 41, 69, 115, 189, 286, 364, 326, 232, 145, 231, 319, 224, 138, 85, 141, 228, 296, 198, 120, 72, 42, 24)(19, 34, 58, 97, 160, 248, 302, 204, 124, 74, 123, 203, 300, 221, 139, 225, 320, 385, 329, 235, 159, 96, 57, 33)(22, 39, 67, 111, 183, 277, 358, 404, 376, 305, 208, 304, 233, 146, 88, 53, 89, 147, 234, 285, 188, 114, 68, 40)(28, 49, 83, 137, 180, 113, 186, 281, 250, 163, 98, 162, 193, 117, 70, 45, 76, 126, 207, 270, 227, 140, 84, 50)(30, 52, 87, 144, 181, 274, 246, 157, 95, 56, 94, 156, 185, 112, 71, 118, 194, 291, 255, 166, 206, 125, 75, 44)(35, 60, 100, 165, 253, 317, 222, 136, 82, 48, 81, 135, 220, 315, 245, 340, 395, 419, 388, 322, 252, 164, 99, 59)(38, 65, 109, 179, 272, 352, 402, 427, 409, 369, 292, 368, 306, 209, 127, 77, 128, 210, 307, 357, 276, 182, 110, 66)(61, 102, 168, 257, 344, 363, 299, 200, 155, 93, 154, 243, 264, 347, 342, 397, 423, 428, 414, 380, 343, 256, 167, 101)(64, 107, 177, 269, 350, 311, 381, 415, 429, 407, 361, 345, 261, 293, 195, 119, 196, 150, 237, 331, 351, 271, 178, 108)(80, 133, 190, 287, 353, 403, 426, 413, 432, 418, 386, 417, 389, 323, 229, 142, 211, 129, 212, 284, 362, 314, 219, 134)(90, 149, 197, 294, 356, 338, 242, 153, 202, 122, 201, 278, 359, 401, 391, 421, 430, 422, 431, 412, 392, 330, 236, 148)(103, 170, 258, 275, 355, 295, 218, 132, 217, 161, 249, 266, 174, 265, 348, 399, 425, 408, 393, 334, 387, 321, 226, 169)(106, 175, 267, 349, 400, 371, 411, 390, 420, 396, 341, 259, 171, 260, 282, 187, 283, 213, 308, 241, 337, 254, 268, 176)(216, 312, 370, 410, 394, 336, 378, 309, 379, 405, 374, 332, 238, 333, 365, 316, 377, 324, 373, 298, 372, 328, 382, 313)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 13)(10, 19)(11, 22)(14, 23)(15, 28)(17, 30)(18, 33)(20, 35)(21, 38)(24, 39)(25, 44)(26, 45)(27, 48)(29, 49)(31, 53)(32, 56)(34, 59)(36, 61)(37, 64)(40, 65)(41, 70)(42, 71)(43, 74)(46, 77)(47, 80)(50, 81)(51, 85)(52, 88)(54, 90)(55, 93)(57, 94)(58, 98)(60, 101)(62, 103)(63, 106)(66, 107)(67, 112)(68, 113)(69, 116)(72, 119)(73, 122)(75, 123)(76, 127)(78, 129)(79, 132)(82, 133)(83, 138)(84, 139)(86, 142)(87, 145)(89, 148)(91, 150)(92, 153)(95, 154)(96, 158)(97, 161)(99, 162)(100, 166)(102, 169)(104, 171)(105, 174)(108, 175)(109, 180)(110, 181)(111, 184)(114, 187)(115, 190)(117, 191)(118, 195)(120, 197)(121, 200)(124, 201)(125, 205)(126, 208)(128, 211)(130, 213)(131, 216)(134, 217)(135, 221)(136, 189)(137, 223)(140, 226)(141, 229)(143, 210)(144, 177)(146, 231)(147, 235)(149, 196)(151, 238)(152, 241)(155, 202)(156, 244)(157, 245)(159, 236)(160, 219)(163, 249)(164, 251)(165, 254)(167, 206)(168, 227)(170, 259)(172, 261)(173, 264)(176, 265)(178, 270)(179, 273)(182, 275)(183, 278)(185, 279)(186, 282)(188, 284)(192, 287)(193, 290)(194, 292)(198, 295)(199, 298)(203, 301)(204, 277)(207, 267)(209, 304)(212, 283)(214, 309)(215, 311)(218, 312)(220, 263)(222, 316)(224, 318)(225, 321)(228, 322)(230, 324)(232, 269)(233, 327)(234, 328)(237, 332)(239, 334)(240, 336)(242, 337)(243, 315)(246, 341)(247, 330)(248, 331)(250, 342)(252, 323)(253, 338)(255, 268)(256, 303)(257, 271)(258, 274)(260, 345)(262, 306)(266, 347)(272, 353)(276, 356)(280, 359)(281, 361)(285, 363)(286, 365)(288, 367)(289, 352)(291, 348)(293, 368)(294, 355)(296, 370)(297, 371)(299, 372)(300, 346)(302, 374)(305, 349)(307, 377)(308, 378)(310, 380)(313, 381)(314, 351)(317, 357)(319, 384)(320, 386)(325, 390)(326, 391)(329, 382)(333, 393)(335, 389)(339, 360)(340, 396)(343, 392)(344, 362)(350, 401)(354, 403)(358, 405)(364, 408)(366, 398)(369, 399)(373, 411)(375, 412)(376, 413)(379, 414)(383, 416)(385, 415)(387, 417)(388, 410)(394, 402)(395, 422)(397, 407)(400, 426)(404, 428)(406, 424)(409, 430)(418, 429)(419, 427)(420, 431)(421, 425)(423, 432)
	local type(s) :: { ( 3^24 ) }
Outer automorphisms :: reflexible
Dual of E28.3266
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 18 e = 216 f = 144
	degree seq :: [ 24^18 ]

E28.3266 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 3, 24})
Quotient :: regular
Aut^+ = $<432, 248>$ (small group id <432, 248>)
Aut   = $<864, 2225>$ (small group id <864, 2225>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^3, (F * T1)^2, (F * T2)^2, T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1, (T2 * T1 * T2 * T1^-1)^6, (T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1)^2, (T1^-1 * T2)^24 ]
Map:: polytopal non-degenerate
	R = (1, 2, 4)(3, 6, 7)(5, 9, 10)(8, 13, 14)(11, 17, 18)(12, 19, 20)(15, 23, 24)(16, 25, 26)(21, 31, 32)(22, 33, 34)(27, 39, 40)(28, 41, 42)(29, 43, 44)(30, 45, 46)(35, 51, 52)(36, 53, 54)(37, 55, 56)(38, 57, 58)(47, 67, 68)(48, 69, 70)(49, 71, 72)(50, 73, 74)(59, 83, 84)(60, 85, 86)(61, 87, 88)(62, 89, 90)(63, 91, 92)(64, 93, 94)(65, 95, 96)(66, 97, 98)(75, 107, 108)(76, 109, 110)(77, 111, 112)(78, 113, 114)(79, 115, 116)(80, 117, 118)(81, 119, 120)(82, 121, 122)(99, 139, 140)(100, 141, 142)(101, 143, 144)(102, 145, 146)(103, 147, 148)(104, 149, 150)(105, 151, 152)(106, 153, 154)(123, 171, 172)(124, 163, 173)(125, 174, 175)(126, 176, 177)(127, 157, 178)(128, 179, 180)(129, 181, 182)(130, 169, 183)(131, 184, 185)(132, 186, 187)(133, 160, 188)(134, 189, 190)(135, 191, 192)(136, 166, 193)(137, 194, 195)(138, 196, 197)(155, 223, 368)(156, 203, 289)(158, 257, 394)(159, 199, 329)(161, 261, 356)(162, 207, 334)(164, 298, 350)(165, 201, 252)(167, 263, 381)(168, 205, 333)(170, 302, 421)(198, 226, 373)(200, 269, 386)(202, 273, 344)(204, 331, 357)(206, 275, 391)(208, 335, 427)(209, 336, 339)(210, 340, 342)(211, 343, 345)(212, 346, 348)(213, 317, 337)(214, 349, 351)(215, 352, 354)(216, 355, 341)(217, 315, 324)(218, 358, 360)(219, 306, 361)(220, 362, 303)(221, 285, 290)(222, 365, 367)(224, 255, 260)(225, 370, 372)(227, 375, 364)(228, 267, 272)(229, 377, 379)(230, 380, 305)(231, 238, 246)(232, 332, 382)(233, 383, 251)(234, 304, 295)(235, 385, 388)(236, 240, 389)(237, 390, 376)(239, 282, 392)(241, 369, 330)(242, 327, 396)(243, 248, 397)(244, 398, 268)(245, 399, 384)(247, 299, 308)(249, 374, 279)(250, 402, 403)(253, 404, 286)(254, 387, 393)(256, 265, 406)(258, 363, 408)(259, 262, 409)(264, 412, 413)(266, 395, 401)(270, 353, 415)(271, 274, 416)(276, 419, 420)(277, 293, 319)(278, 294, 316)(280, 378, 407)(281, 323, 322)(283, 312, 400)(284, 297, 411)(287, 359, 423)(288, 291, 424)(292, 425, 426)(296, 366, 414)(300, 410, 405)(301, 326, 418)(307, 347, 428)(309, 311, 417)(310, 338, 320)(313, 318, 430)(314, 431, 429)(321, 325, 432)(328, 371, 422)
	L = (1, 3)(2, 5)(4, 8)(6, 11)(7, 12)(9, 15)(10, 16)(13, 21)(14, 22)(17, 27)(18, 28)(19, 29)(20, 30)(23, 35)(24, 36)(25, 37)(26, 38)(31, 47)(32, 48)(33, 49)(34, 50)(39, 59)(40, 60)(41, 61)(42, 62)(43, 63)(44, 64)(45, 65)(46, 66)(51, 75)(52, 76)(53, 77)(54, 78)(55, 79)(56, 80)(57, 81)(58, 82)(67, 99)(68, 100)(69, 101)(70, 102)(71, 103)(72, 104)(73, 105)(74, 106)(83, 123)(84, 124)(85, 125)(86, 126)(87, 127)(88, 128)(89, 129)(90, 130)(91, 131)(92, 132)(93, 133)(94, 134)(95, 135)(96, 136)(97, 137)(98, 138)(107, 155)(108, 156)(109, 157)(110, 158)(111, 159)(112, 160)(113, 161)(114, 162)(115, 163)(116, 164)(117, 165)(118, 166)(119, 167)(120, 168)(121, 169)(122, 170)(139, 198)(140, 185)(141, 199)(142, 200)(143, 175)(144, 201)(145, 202)(146, 195)(147, 203)(148, 204)(149, 180)(150, 205)(151, 206)(152, 190)(153, 207)(154, 208)(171, 303)(172, 281)(173, 236)(174, 213)(176, 308)(177, 242)(178, 216)(179, 293)(181, 279)(182, 313)(183, 300)(184, 251)(186, 317)(187, 219)(188, 319)(189, 320)(191, 323)(192, 227)(193, 318)(194, 283)(196, 327)(197, 328)(209, 337)(210, 341)(211, 329)(212, 345)(214, 350)(215, 339)(217, 357)(218, 342)(220, 348)(221, 364)(222, 351)(223, 354)(224, 305)(225, 324)(226, 360)(228, 376)(229, 361)(230, 381)(231, 268)(232, 290)(233, 367)(234, 384)(235, 386)(237, 391)(238, 286)(239, 260)(240, 372)(241, 393)(243, 289)(244, 374)(245, 400)(246, 256)(247, 272)(248, 379)(249, 401)(250, 394)(252, 277)(253, 304)(254, 405)(255, 316)(257, 382)(258, 407)(259, 322)(261, 295)(262, 388)(263, 411)(264, 389)(265, 369)(266, 309)(267, 278)(269, 392)(270, 414)(271, 284)(273, 330)(274, 396)(275, 418)(276, 397)(280, 421)(282, 363)(285, 294)(287, 422)(288, 301)(291, 403)(292, 383)(296, 427)(297, 368)(298, 355)(299, 353)(302, 402)(306, 406)(307, 423)(310, 408)(311, 334)(312, 425)(314, 409)(315, 404)(321, 426)(325, 413)(326, 373)(331, 343)(332, 359)(333, 428)(335, 385)(336, 375)(338, 344)(340, 380)(346, 390)(347, 356)(349, 398)(352, 399)(358, 387)(362, 395)(365, 378)(366, 370)(371, 377)(410, 412)(415, 430)(416, 431)(417, 419)(420, 432)(424, 429)
	local type(s) :: { ( 24^3 ) }
Outer automorphisms :: reflexible
Dual of E28.3265
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 144 e = 216 f = 18
	degree seq :: [ 3^144 ]

E28.3267 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 24})
Quotient :: edge
Aut^+ = $<432, 248>$ (small group id <432, 248>)
Aut   = $<864, 2225>$ (small group id <864, 2225>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^3, (F * T1)^2, (F * T2)^2, T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1, (T2 * T1 * T2^-1 * T1)^6, (T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2)^2 ]
Map:: polytopal
	R = (1, 3, 4)(2, 5, 6)(7, 11, 12)(8, 13, 14)(9, 15, 16)(10, 17, 18)(19, 27, 28)(20, 29, 30)(21, 31, 32)(22, 33, 34)(23, 35, 36)(24, 37, 38)(25, 39, 40)(26, 41, 42)(43, 59, 60)(44, 61, 62)(45, 63, 64)(46, 65, 66)(47, 67, 68)(48, 69, 70)(49, 71, 72)(50, 73, 74)(51, 75, 76)(52, 77, 78)(53, 79, 80)(54, 81, 82)(55, 83, 84)(56, 85, 86)(57, 87, 88)(58, 89, 90)(91, 123, 124)(92, 125, 126)(93, 127, 128)(94, 129, 130)(95, 131, 132)(96, 133, 134)(97, 135, 136)(98, 137, 138)(99, 139, 140)(100, 141, 142)(101, 143, 144)(102, 145, 146)(103, 147, 148)(104, 149, 150)(105, 151, 152)(106, 153, 154)(107, 155, 156)(108, 157, 158)(109, 159, 160)(110, 161, 162)(111, 163, 164)(112, 165, 166)(113, 167, 168)(114, 169, 170)(115, 171, 172)(116, 173, 174)(117, 175, 176)(118, 177, 178)(119, 179, 180)(120, 181, 182)(121, 183, 184)(122, 185, 186)(187, 325, 358)(188, 203, 247)(189, 284, 399)(190, 199, 334)(191, 233, 390)(192, 207, 287)(193, 329, 413)(194, 201, 336)(195, 222, 377)(196, 205, 225)(197, 257, 363)(198, 333, 371)(200, 292, 410)(202, 223, 379)(204, 337, 400)(206, 231, 391)(208, 279, 345)(209, 342, 344)(210, 346, 348)(211, 350, 352)(212, 353, 355)(213, 357, 339)(214, 359, 361)(215, 296, 341)(216, 364, 349)(217, 367, 356)(218, 370, 277)(219, 372, 315)(220, 302, 310)(221, 308, 320)(224, 281, 286)(226, 384, 369)(227, 386, 374)(228, 389, 376)(229, 249, 366)(230, 392, 381)(232, 289, 294)(234, 259, 263)(235, 385, 243)(236, 316, 324)(237, 332, 301)(238, 252, 256)(239, 402, 394)(240, 253, 383)(241, 403, 396)(242, 297, 317)(244, 406, 309)(245, 407, 398)(246, 260, 388)(248, 409, 285)(250, 321, 411)(251, 340, 412)(254, 382, 414)(255, 278, 415)(258, 362, 416)(261, 375, 418)(262, 269, 419)(264, 420, 393)(265, 282, 401)(266, 421, 293)(267, 422, 404)(268, 290, 405)(270, 327, 387)(271, 303, 335)(272, 323, 312)(273, 328, 322)(274, 330, 338)(275, 318, 408)(276, 397, 417)(280, 365, 423)(283, 360, 425)(288, 347, 426)(291, 373, 428)(295, 429, 351)(298, 306, 395)(299, 307, 427)(300, 368, 326)(304, 313, 430)(305, 354, 431)(311, 331, 378)(314, 343, 432)(319, 380, 424)(433, 434)(435, 439)(436, 440)(437, 441)(438, 442)(443, 451)(444, 452)(445, 453)(446, 454)(447, 455)(448, 456)(449, 457)(450, 458)(459, 475)(460, 476)(461, 477)(462, 478)(463, 479)(464, 480)(465, 481)(466, 482)(467, 483)(468, 484)(469, 485)(470, 486)(471, 487)(472, 488)(473, 489)(474, 490)(491, 523)(492, 524)(493, 525)(494, 526)(495, 527)(496, 528)(497, 529)(498, 530)(499, 531)(500, 532)(501, 533)(502, 534)(503, 535)(504, 536)(505, 537)(506, 538)(507, 539)(508, 540)(509, 541)(510, 542)(511, 543)(512, 544)(513, 545)(514, 546)(515, 547)(516, 548)(517, 549)(518, 550)(519, 551)(520, 552)(521, 553)(522, 554)(555, 619)(556, 620)(557, 595)(558, 621)(559, 622)(560, 607)(561, 623)(562, 624)(563, 589)(564, 625)(565, 626)(566, 613)(567, 627)(568, 628)(569, 601)(570, 629)(571, 630)(572, 604)(573, 631)(574, 632)(575, 592)(576, 633)(577, 634)(578, 616)(579, 635)(580, 636)(581, 598)(582, 637)(583, 638)(584, 610)(585, 639)(586, 640)(587, 727)(588, 729)(590, 730)(591, 731)(593, 733)(594, 704)(596, 708)(597, 736)(599, 709)(600, 740)(602, 661)(603, 743)(605, 739)(606, 682)(608, 745)(609, 747)(611, 749)(612, 673)(614, 752)(615, 675)(617, 755)(618, 647)(641, 773)(642, 777)(643, 781)(644, 780)(645, 788)(646, 776)(648, 795)(649, 798)(650, 801)(651, 784)(652, 806)(653, 787)(654, 808)(655, 771)(656, 813)(657, 793)(658, 815)(659, 817)(660, 820)(662, 823)(663, 826)(664, 828)(665, 742)(666, 741)(667, 830)(668, 832)(669, 718)(670, 717)(671, 833)(672, 719)(674, 837)(676, 809)(677, 767)(678, 744)(679, 840)(680, 802)(681, 825)(683, 726)(684, 725)(685, 836)(686, 845)(687, 695)(688, 694)(689, 819)(690, 756)(691, 754)(692, 770)(693, 849)(696, 703)(697, 702)(698, 734)(699, 735)(700, 758)(701, 789)(705, 713)(706, 714)(707, 855)(710, 782)(711, 800)(712, 843)(715, 856)(716, 844)(720, 846)(721, 760)(722, 762)(723, 859)(724, 847)(728, 797)(732, 842)(737, 860)(738, 848)(746, 850)(748, 853)(750, 854)(751, 766)(753, 851)(757, 863)(759, 831)(761, 829)(763, 858)(764, 785)(765, 864)(768, 862)(769, 812)(772, 774)(775, 799)(778, 794)(779, 796)(783, 816)(786, 818)(790, 821)(791, 822)(792, 824)(803, 834)(804, 811)(805, 835)(807, 838)(810, 839)(814, 841)(827, 852)(857, 861)
	L = (1, 433)(2, 434)(3, 435)(4, 436)(5, 437)(6, 438)(7, 439)(8, 440)(9, 441)(10, 442)(11, 443)(12, 444)(13, 445)(14, 446)(15, 447)(16, 448)(17, 449)(18, 450)(19, 451)(20, 452)(21, 453)(22, 454)(23, 455)(24, 456)(25, 457)(26, 458)(27, 459)(28, 460)(29, 461)(30, 462)(31, 463)(32, 464)(33, 465)(34, 466)(35, 467)(36, 468)(37, 469)(38, 470)(39, 471)(40, 472)(41, 473)(42, 474)(43, 475)(44, 476)(45, 477)(46, 478)(47, 479)(48, 480)(49, 481)(50, 482)(51, 483)(52, 484)(53, 485)(54, 486)(55, 487)(56, 488)(57, 489)(58, 490)(59, 491)(60, 492)(61, 493)(62, 494)(63, 495)(64, 496)(65, 497)(66, 498)(67, 499)(68, 500)(69, 501)(70, 502)(71, 503)(72, 504)(73, 505)(74, 506)(75, 507)(76, 508)(77, 509)(78, 510)(79, 511)(80, 512)(81, 513)(82, 514)(83, 515)(84, 516)(85, 517)(86, 518)(87, 519)(88, 520)(89, 521)(90, 522)(91, 523)(92, 524)(93, 525)(94, 526)(95, 527)(96, 528)(97, 529)(98, 530)(99, 531)(100, 532)(101, 533)(102, 534)(103, 535)(104, 536)(105, 537)(106, 538)(107, 539)(108, 540)(109, 541)(110, 542)(111, 543)(112, 544)(113, 545)(114, 546)(115, 547)(116, 548)(117, 549)(118, 550)(119, 551)(120, 552)(121, 553)(122, 554)(123, 555)(124, 556)(125, 557)(126, 558)(127, 559)(128, 560)(129, 561)(130, 562)(131, 563)(132, 564)(133, 565)(134, 566)(135, 567)(136, 568)(137, 569)(138, 570)(139, 571)(140, 572)(141, 573)(142, 574)(143, 575)(144, 576)(145, 577)(146, 578)(147, 579)(148, 580)(149, 581)(150, 582)(151, 583)(152, 584)(153, 585)(154, 586)(155, 587)(156, 588)(157, 589)(158, 590)(159, 591)(160, 592)(161, 593)(162, 594)(163, 595)(164, 596)(165, 597)(166, 598)(167, 599)(168, 600)(169, 601)(170, 602)(171, 603)(172, 604)(173, 605)(174, 606)(175, 607)(176, 608)(177, 609)(178, 610)(179, 611)(180, 612)(181, 613)(182, 614)(183, 615)(184, 616)(185, 617)(186, 618)(187, 619)(188, 620)(189, 621)(190, 622)(191, 623)(192, 624)(193, 625)(194, 626)(195, 627)(196, 628)(197, 629)(198, 630)(199, 631)(200, 632)(201, 633)(202, 634)(203, 635)(204, 636)(205, 637)(206, 638)(207, 639)(208, 640)(209, 641)(210, 642)(211, 643)(212, 644)(213, 645)(214, 646)(215, 647)(216, 648)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 48, 48 ), ( 48^3 ) }
Outer automorphisms :: reflexible
Dual of E28.3271
Transitivity :: ET+
Graph:: simple bipartite
	v = 360 e = 432 f = 18
	degree seq :: [ 2^216, 3^144 ]

E28.3268 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 24})
Quotient :: edge
Aut^+ = $<432, 248>$ (small group id <432, 248>)
Aut   = $<864, 2225>$ (small group id <864, 2225>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, (T2^-1 * T1^-1)^2, T2^2 * T1 * T2 * T1^-1 * T2^2 * T1^-2 * T2 * T1^-1, T2^-4 * T1^-1 * T2 * T1^-1 * T2^3 * T1^-1 * T2^-2 * T1, T2 * T1^-1 * T2 * T1^-1 * T2^3 * T1 * T2^5 * T1^-1 * T2^2 * T1^-1, T2^2 * T1^-1 * T2^-10 * T1^-1 * T2^2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 19, 37, 67, 117, 199, 294, 250, 219, 307, 359, 262, 171, 261, 339, 239, 150, 86, 48, 26, 13, 5)(2, 6, 14, 27, 50, 89, 155, 246, 300, 204, 122, 207, 303, 273, 181, 233, 333, 269, 178, 102, 58, 32, 16, 7)(4, 11, 22, 41, 74, 129, 215, 313, 297, 203, 160, 251, 330, 231, 143, 230, 329, 280, 188, 108, 62, 34, 17, 8)(10, 21, 40, 71, 124, 209, 305, 350, 252, 161, 94, 164, 224, 138, 79, 137, 223, 321, 285, 192, 112, 64, 35, 18)(12, 23, 43, 77, 134, 221, 318, 304, 208, 123, 72, 126, 211, 166, 95, 165, 255, 353, 325, 226, 140, 80, 44, 24)(15, 29, 53, 93, 162, 253, 351, 317, 220, 133, 78, 136, 190, 110, 63, 109, 189, 281, 356, 257, 168, 96, 54, 30)(20, 39, 70, 121, 205, 301, 385, 410, 366, 270, 180, 172, 98, 56, 31, 55, 97, 169, 259, 288, 195, 114, 65, 36)(25, 45, 81, 141, 228, 327, 309, 212, 127, 73, 42, 76, 132, 218, 151, 240, 340, 400, 357, 258, 170, 144, 82, 46)(28, 52, 92, 159, 113, 193, 286, 377, 326, 227, 142, 182, 104, 60, 33, 59, 103, 179, 271, 342, 242, 152, 87, 49)(38, 69, 120, 202, 298, 383, 416, 427, 412, 374, 282, 275, 184, 106, 61, 105, 183, 274, 368, 380, 290, 196, 115, 66)(47, 83, 145, 232, 331, 398, 343, 243, 153, 88, 51, 91, 158, 249, 316, 393, 418, 430, 420, 396, 322, 234, 146, 84)(57, 99, 173, 263, 360, 408, 389, 310, 213, 128, 75, 131, 206, 302, 349, 404, 423, 432, 424, 406, 354, 264, 174, 100)(68, 119, 163, 254, 352, 347, 403, 422, 428, 414, 378, 338, 283, 191, 111, 176, 101, 175, 265, 361, 381, 291, 197, 116)(85, 147, 235, 334, 399, 379, 311, 214, 130, 217, 135, 222, 320, 295, 382, 415, 429, 426, 411, 373, 355, 256, 167, 148)(90, 157, 125, 210, 299, 384, 409, 425, 431, 421, 401, 365, 323, 225, 139, 186, 107, 185, 276, 369, 402, 344, 244, 154)(118, 201, 272, 367, 391, 314, 392, 407, 419, 394, 337, 238, 336, 287, 194, 278, 187, 277, 370, 319, 395, 332, 292, 198)(149, 236, 335, 289, 376, 284, 345, 245, 156, 248, 229, 328, 293, 200, 296, 375, 413, 405, 364, 268, 363, 341, 241, 237)(177, 266, 362, 306, 387, 324, 390, 312, 216, 315, 260, 358, 346, 247, 348, 397, 417, 386, 372, 279, 371, 388, 308, 267)(433, 434, 436)(435, 440, 442)(437, 444, 438)(439, 447, 443)(441, 450, 452)(445, 457, 455)(446, 456, 460)(448, 463, 461)(449, 465, 453)(451, 468, 470)(454, 462, 474)(458, 479, 477)(459, 481, 483)(464, 489, 487)(466, 493, 491)(467, 495, 471)(469, 498, 500)(472, 492, 504)(473, 505, 507)(475, 478, 510)(476, 511, 484)(480, 517, 515)(482, 520, 522)(485, 488, 526)(486, 527, 508)(490, 533, 531)(494, 539, 537)(496, 543, 541)(497, 545, 501)(499, 548, 550)(502, 542, 554)(503, 555, 557)(506, 560, 562)(509, 565, 567)(512, 571, 569)(513, 516, 574)(514, 575, 568)(518, 581, 579)(519, 583, 523)(521, 586, 588)(524, 570, 592)(525, 593, 595)(528, 599, 597)(529, 532, 602)(530, 603, 596)(534, 609, 607)(535, 538, 612)(536, 613, 558)(540, 619, 617)(544, 605, 608)(546, 626, 625)(547, 594, 551)(549, 630, 632)(552, 591, 635)(553, 636, 638)(556, 589, 585)(559, 637, 563)(561, 646, 648)(564, 598, 651)(566, 649, 645)(572, 615, 618)(573, 659, 661)(576, 606, 662)(577, 580, 600)(578, 665, 614)(582, 670, 668)(584, 673, 672)(587, 677, 679)(590, 650, 682)(601, 690, 692)(604, 616, 693)(610, 700, 698)(611, 702, 704)(620, 711, 709)(621, 623, 714)(622, 663, 639)(624, 716, 695)(627, 708, 710)(628, 721, 685)(629, 703, 633)(631, 725, 727)(634, 729, 731)(640, 730, 642)(641, 675, 738)(643, 705, 739)(644, 740, 733)(647, 744, 746)(652, 748, 654)(653, 742, 751)(655, 657, 754)(656, 694, 683)(658, 756, 706)(660, 680, 676)(664, 689, 764)(666, 755, 765)(667, 669, 674)(671, 770, 768)(678, 778, 779)(681, 726, 752)(684, 781, 686)(687, 688, 786)(691, 747, 743)(696, 787, 761)(697, 699, 741)(701, 797, 795)(707, 715, 771)(712, 805, 803)(713, 806, 807)(717, 780, 777)(718, 719, 810)(720, 811, 801)(722, 792, 808)(723, 766, 774)(724, 788, 728)(732, 784, 734)(735, 762, 791)(736, 818, 815)(737, 794, 796)(745, 823, 816)(749, 826, 825)(750, 802, 804)(753, 828, 829)(757, 824, 822)(758, 814, 760)(759, 776, 793)(763, 827, 821)(767, 769, 783)(772, 773, 833)(775, 800, 819)(782, 837, 836)(785, 838, 839)(789, 835, 790)(798, 841, 799)(809, 846, 847)(812, 830, 840)(813, 834, 831)(817, 820, 843)(832, 853, 854)(842, 858, 857)(844, 855, 845)(848, 849, 852)(850, 851, 856)(859, 862, 864)(860, 863, 861)
	L = (1, 433)(2, 434)(3, 435)(4, 436)(5, 437)(6, 438)(7, 439)(8, 440)(9, 441)(10, 442)(11, 443)(12, 444)(13, 445)(14, 446)(15, 447)(16, 448)(17, 449)(18, 450)(19, 451)(20, 452)(21, 453)(22, 454)(23, 455)(24, 456)(25, 457)(26, 458)(27, 459)(28, 460)(29, 461)(30, 462)(31, 463)(32, 464)(33, 465)(34, 466)(35, 467)(36, 468)(37, 469)(38, 470)(39, 471)(40, 472)(41, 473)(42, 474)(43, 475)(44, 476)(45, 477)(46, 478)(47, 479)(48, 480)(49, 481)(50, 482)(51, 483)(52, 484)(53, 485)(54, 486)(55, 487)(56, 488)(57, 489)(58, 490)(59, 491)(60, 492)(61, 493)(62, 494)(63, 495)(64, 496)(65, 497)(66, 498)(67, 499)(68, 500)(69, 501)(70, 502)(71, 503)(72, 504)(73, 505)(74, 506)(75, 507)(76, 508)(77, 509)(78, 510)(79, 511)(80, 512)(81, 513)(82, 514)(83, 515)(84, 516)(85, 517)(86, 518)(87, 519)(88, 520)(89, 521)(90, 522)(91, 523)(92, 524)(93, 525)(94, 526)(95, 527)(96, 528)(97, 529)(98, 530)(99, 531)(100, 532)(101, 533)(102, 534)(103, 535)(104, 536)(105, 537)(106, 538)(107, 539)(108, 540)(109, 541)(110, 542)(111, 543)(112, 544)(113, 545)(114, 546)(115, 547)(116, 548)(117, 549)(118, 550)(119, 551)(120, 552)(121, 553)(122, 554)(123, 555)(124, 556)(125, 557)(126, 558)(127, 559)(128, 560)(129, 561)(130, 562)(131, 563)(132, 564)(133, 565)(134, 566)(135, 567)(136, 568)(137, 569)(138, 570)(139, 571)(140, 572)(141, 573)(142, 574)(143, 575)(144, 576)(145, 577)(146, 578)(147, 579)(148, 580)(149, 581)(150, 582)(151, 583)(152, 584)(153, 585)(154, 586)(155, 587)(156, 588)(157, 589)(158, 590)(159, 591)(160, 592)(161, 593)(162, 594)(163, 595)(164, 596)(165, 597)(166, 598)(167, 599)(168, 600)(169, 601)(170, 602)(171, 603)(172, 604)(173, 605)(174, 606)(175, 607)(176, 608)(177, 609)(178, 610)(179, 611)(180, 612)(181, 613)(182, 614)(183, 615)(184, 616)(185, 617)(186, 618)(187, 619)(188, 620)(189, 621)(190, 622)(191, 623)(192, 624)(193, 625)(194, 626)(195, 627)(196, 628)(197, 629)(198, 630)(199, 631)(200, 632)(201, 633)(202, 634)(203, 635)(204, 636)(205, 637)(206, 638)(207, 639)(208, 640)(209, 641)(210, 642)(211, 643)(212, 644)(213, 645)(214, 646)(215, 647)(216, 648)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 4^3 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E28.3272
Transitivity :: ET+
Graph:: simple bipartite
	v = 162 e = 432 f = 216
	degree seq :: [ 3^144, 24^18 ]

E28.3269 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 24})
Quotient :: edge
Aut^+ = $<432, 248>$ (small group id <432, 248>)
Aut   = $<864, 2225>$ (small group id <864, 2225>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2)^3, T2 * T1^-2 * T2 * T1^3 * T2 * T1^-1 * T2 * T1 * T2 * T1^-4, T1^-7 * T2 * T1^3 * T2 * T1^3 * T2 * T1^-2, (T2 * T1^3 * T2 * T1^6)^2 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 13)(10, 19)(11, 22)(14, 23)(15, 28)(17, 30)(18, 33)(20, 35)(21, 38)(24, 39)(25, 44)(26, 45)(27, 48)(29, 49)(31, 53)(32, 56)(34, 59)(36, 61)(37, 64)(40, 65)(41, 70)(42, 71)(43, 74)(46, 77)(47, 80)(50, 81)(51, 85)(52, 88)(54, 90)(55, 93)(57, 94)(58, 98)(60, 101)(62, 103)(63, 106)(66, 107)(67, 112)(68, 113)(69, 116)(72, 119)(73, 122)(75, 123)(76, 127)(78, 129)(79, 132)(82, 133)(83, 138)(84, 139)(86, 142)(87, 145)(89, 148)(91, 150)(92, 153)(95, 154)(96, 158)(97, 161)(99, 162)(100, 166)(102, 169)(104, 171)(105, 174)(108, 175)(109, 180)(110, 181)(111, 184)(114, 187)(115, 190)(117, 191)(118, 195)(120, 197)(121, 200)(124, 201)(125, 205)(126, 208)(128, 211)(130, 213)(131, 216)(134, 217)(135, 221)(136, 189)(137, 223)(140, 226)(141, 229)(143, 210)(144, 177)(146, 231)(147, 235)(149, 196)(151, 238)(152, 241)(155, 202)(156, 244)(157, 245)(159, 236)(160, 219)(163, 249)(164, 251)(165, 254)(167, 206)(168, 227)(170, 259)(172, 261)(173, 264)(176, 265)(178, 270)(179, 273)(182, 275)(183, 278)(185, 279)(186, 282)(188, 284)(192, 287)(193, 290)(194, 292)(198, 295)(199, 298)(203, 301)(204, 277)(207, 267)(209, 304)(212, 283)(214, 309)(215, 311)(218, 312)(220, 263)(222, 316)(224, 318)(225, 321)(228, 322)(230, 324)(232, 269)(233, 327)(234, 328)(237, 332)(239, 334)(240, 336)(242, 337)(243, 315)(246, 341)(247, 330)(248, 331)(250, 342)(252, 323)(253, 338)(255, 268)(256, 303)(257, 271)(258, 274)(260, 345)(262, 306)(266, 347)(272, 353)(276, 356)(280, 359)(281, 361)(285, 363)(286, 365)(288, 367)(289, 352)(291, 348)(293, 368)(294, 355)(296, 370)(297, 371)(299, 372)(300, 346)(302, 374)(305, 349)(307, 377)(308, 378)(310, 380)(313, 381)(314, 351)(317, 357)(319, 384)(320, 386)(325, 390)(326, 391)(329, 382)(333, 393)(335, 389)(339, 360)(340, 396)(343, 392)(344, 362)(350, 401)(354, 403)(358, 405)(364, 408)(366, 398)(369, 399)(373, 411)(375, 412)(376, 413)(379, 414)(383, 416)(385, 415)(387, 417)(388, 410)(394, 402)(395, 422)(397, 407)(400, 426)(404, 428)(406, 424)(409, 430)(418, 429)(419, 427)(420, 431)(421, 425)(423, 432)(433, 434, 437, 443, 453, 469, 495, 537, 605, 695, 778, 830, 856, 848, 816, 759, 694, 604, 536, 494, 468, 452, 442, 436)(435, 439, 447, 459, 479, 511, 563, 647, 712, 616, 711, 792, 838, 799, 722, 683, 767, 671, 583, 523, 486, 463, 449, 440)(438, 445, 457, 475, 505, 553, 631, 729, 786, 705, 655, 750, 815, 771, 676, 590, 679, 742, 646, 562, 510, 478, 458, 446)(441, 450, 464, 487, 524, 584, 672, 721, 624, 548, 623, 720, 798, 733, 637, 735, 807, 757, 662, 575, 518, 483, 461, 448)(444, 455, 473, 501, 547, 621, 718, 796, 758, 664, 577, 663, 751, 656, 570, 517, 573, 660, 728, 630, 552, 504, 474, 456)(451, 466, 490, 529, 592, 680, 734, 636, 556, 506, 555, 635, 732, 653, 571, 657, 752, 817, 761, 667, 591, 528, 489, 465)(454, 471, 499, 543, 615, 709, 790, 836, 808, 737, 640, 736, 665, 578, 520, 485, 521, 579, 666, 717, 620, 546, 500, 472)(460, 481, 515, 569, 612, 545, 618, 713, 682, 595, 530, 594, 625, 549, 502, 477, 508, 558, 639, 702, 659, 572, 516, 482)(462, 484, 519, 576, 613, 706, 678, 589, 527, 488, 526, 588, 617, 544, 503, 550, 626, 723, 687, 598, 638, 557, 507, 476)(467, 492, 532, 597, 685, 749, 654, 568, 514, 480, 513, 567, 652, 747, 677, 772, 827, 851, 820, 754, 684, 596, 531, 491)(470, 497, 541, 611, 704, 784, 834, 859, 841, 801, 724, 800, 738, 641, 559, 509, 560, 642, 739, 789, 708, 614, 542, 498)(493, 534, 600, 689, 776, 795, 731, 632, 587, 525, 586, 675, 696, 779, 774, 829, 855, 860, 846, 812, 775, 688, 599, 533)(496, 539, 609, 701, 782, 743, 813, 847, 861, 839, 793, 777, 693, 725, 627, 551, 628, 582, 669, 763, 783, 703, 610, 540)(512, 565, 622, 719, 785, 835, 858, 845, 864, 850, 818, 849, 821, 755, 661, 574, 643, 561, 644, 716, 794, 746, 651, 566)(522, 581, 629, 726, 788, 770, 674, 585, 634, 554, 633, 710, 791, 833, 823, 853, 862, 854, 863, 844, 824, 762, 668, 580)(535, 602, 690, 707, 787, 727, 650, 564, 649, 593, 681, 698, 606, 697, 780, 831, 857, 840, 825, 766, 819, 753, 658, 601)(538, 607, 699, 781, 832, 803, 843, 822, 852, 828, 773, 691, 603, 692, 714, 619, 715, 645, 740, 673, 769, 686, 700, 608)(648, 744, 802, 842, 826, 768, 810, 741, 811, 837, 806, 764, 670, 765, 797, 748, 809, 756, 805, 730, 804, 760, 814, 745)
	L = (1, 433)(2, 434)(3, 435)(4, 436)(5, 437)(6, 438)(7, 439)(8, 440)(9, 441)(10, 442)(11, 443)(12, 444)(13, 445)(14, 446)(15, 447)(16, 448)(17, 449)(18, 450)(19, 451)(20, 452)(21, 453)(22, 454)(23, 455)(24, 456)(25, 457)(26, 458)(27, 459)(28, 460)(29, 461)(30, 462)(31, 463)(32, 464)(33, 465)(34, 466)(35, 467)(36, 468)(37, 469)(38, 470)(39, 471)(40, 472)(41, 473)(42, 474)(43, 475)(44, 476)(45, 477)(46, 478)(47, 479)(48, 480)(49, 481)(50, 482)(51, 483)(52, 484)(53, 485)(54, 486)(55, 487)(56, 488)(57, 489)(58, 490)(59, 491)(60, 492)(61, 493)(62, 494)(63, 495)(64, 496)(65, 497)(66, 498)(67, 499)(68, 500)(69, 501)(70, 502)(71, 503)(72, 504)(73, 505)(74, 506)(75, 507)(76, 508)(77, 509)(78, 510)(79, 511)(80, 512)(81, 513)(82, 514)(83, 515)(84, 516)(85, 517)(86, 518)(87, 519)(88, 520)(89, 521)(90, 522)(91, 523)(92, 524)(93, 525)(94, 526)(95, 527)(96, 528)(97, 529)(98, 530)(99, 531)(100, 532)(101, 533)(102, 534)(103, 535)(104, 536)(105, 537)(106, 538)(107, 539)(108, 540)(109, 541)(110, 542)(111, 543)(112, 544)(113, 545)(114, 546)(115, 547)(116, 548)(117, 549)(118, 550)(119, 551)(120, 552)(121, 553)(122, 554)(123, 555)(124, 556)(125, 557)(126, 558)(127, 559)(128, 560)(129, 561)(130, 562)(131, 563)(132, 564)(133, 565)(134, 566)(135, 567)(136, 568)(137, 569)(138, 570)(139, 571)(140, 572)(141, 573)(142, 574)(143, 575)(144, 576)(145, 577)(146, 578)(147, 579)(148, 580)(149, 581)(150, 582)(151, 583)(152, 584)(153, 585)(154, 586)(155, 587)(156, 588)(157, 589)(158, 590)(159, 591)(160, 592)(161, 593)(162, 594)(163, 595)(164, 596)(165, 597)(166, 598)(167, 599)(168, 600)(169, 601)(170, 602)(171, 603)(172, 604)(173, 605)(174, 606)(175, 607)(176, 608)(177, 609)(178, 610)(179, 611)(180, 612)(181, 613)(182, 614)(183, 615)(184, 616)(185, 617)(186, 618)(187, 619)(188, 620)(189, 621)(190, 622)(191, 623)(192, 624)(193, 625)(194, 626)(195, 627)(196, 628)(197, 629)(198, 630)(199, 631)(200, 632)(201, 633)(202, 634)(203, 635)(204, 636)(205, 637)(206, 638)(207, 639)(208, 640)(209, 641)(210, 642)(211, 643)(212, 644)(213, 645)(214, 646)(215, 647)(216, 648)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)
	local type(s) :: { ( 6, 6 ), ( 6^24 ) }
Outer automorphisms :: reflexible
Dual of E28.3270
Transitivity :: ET+
Graph:: simple bipartite
	v = 234 e = 432 f = 144
	degree seq :: [ 2^216, 24^18 ]

E28.3270 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 24})
Quotient :: loop
Aut^+ = $<432, 248>$ (small group id <432, 248>)
Aut   = $<864, 2225>$ (small group id <864, 2225>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^3, (F * T1)^2, (F * T2)^2, T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1, (T2 * T1 * T2^-1 * T1)^6, (T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2)^2 ]
Map::
	R = (1, 433, 3, 435, 4, 436)(2, 434, 5, 437, 6, 438)(7, 439, 11, 443, 12, 444)(8, 440, 13, 445, 14, 446)(9, 441, 15, 447, 16, 448)(10, 442, 17, 449, 18, 450)(19, 451, 27, 459, 28, 460)(20, 452, 29, 461, 30, 462)(21, 453, 31, 463, 32, 464)(22, 454, 33, 465, 34, 466)(23, 455, 35, 467, 36, 468)(24, 456, 37, 469, 38, 470)(25, 457, 39, 471, 40, 472)(26, 458, 41, 473, 42, 474)(43, 475, 59, 491, 60, 492)(44, 476, 61, 493, 62, 494)(45, 477, 63, 495, 64, 496)(46, 478, 65, 497, 66, 498)(47, 479, 67, 499, 68, 500)(48, 480, 69, 501, 70, 502)(49, 481, 71, 503, 72, 504)(50, 482, 73, 505, 74, 506)(51, 483, 75, 507, 76, 508)(52, 484, 77, 509, 78, 510)(53, 485, 79, 511, 80, 512)(54, 486, 81, 513, 82, 514)(55, 487, 83, 515, 84, 516)(56, 488, 85, 517, 86, 518)(57, 489, 87, 519, 88, 520)(58, 490, 89, 521, 90, 522)(91, 523, 123, 555, 124, 556)(92, 524, 125, 557, 126, 558)(93, 525, 127, 559, 128, 560)(94, 526, 129, 561, 130, 562)(95, 527, 131, 563, 132, 564)(96, 528, 133, 565, 134, 566)(97, 529, 135, 567, 136, 568)(98, 530, 137, 569, 138, 570)(99, 531, 139, 571, 140, 572)(100, 532, 141, 573, 142, 574)(101, 533, 143, 575, 144, 576)(102, 534, 145, 577, 146, 578)(103, 535, 147, 579, 148, 580)(104, 536, 149, 581, 150, 582)(105, 537, 151, 583, 152, 584)(106, 538, 153, 585, 154, 586)(107, 539, 155, 587, 156, 588)(108, 540, 157, 589, 158, 590)(109, 541, 159, 591, 160, 592)(110, 542, 161, 593, 162, 594)(111, 543, 163, 595, 164, 596)(112, 544, 165, 597, 166, 598)(113, 545, 167, 599, 168, 600)(114, 546, 169, 601, 170, 602)(115, 547, 171, 603, 172, 604)(116, 548, 173, 605, 174, 606)(117, 549, 175, 607, 176, 608)(118, 550, 177, 609, 178, 610)(119, 551, 179, 611, 180, 612)(120, 552, 181, 613, 182, 614)(121, 553, 183, 615, 184, 616)(122, 554, 185, 617, 186, 618)(187, 619, 335, 767, 308, 740)(188, 620, 203, 635, 309, 741)(189, 621, 336, 768, 418, 850)(190, 622, 199, 631, 285, 717)(191, 623, 281, 713, 328, 760)(192, 624, 207, 639, 330, 762)(193, 625, 251, 683, 239, 671)(194, 626, 201, 633, 347, 779)(195, 627, 342, 774, 353, 785)(196, 628, 205, 637, 349, 781)(197, 629, 343, 775, 242, 674)(198, 630, 344, 776, 415, 847)(200, 632, 346, 778, 428, 860)(202, 634, 338, 770, 432, 864)(204, 636, 255, 687, 226, 658)(206, 638, 350, 782, 287, 719)(208, 640, 352, 784, 229, 661)(209, 641, 299, 731, 302, 734)(210, 642, 323, 755, 327, 759)(211, 643, 258, 690, 261, 693)(212, 644, 289, 721, 292, 724)(213, 645, 250, 682, 252, 684)(214, 646, 357, 789, 331, 763)(215, 647, 359, 791, 360, 792)(216, 648, 362, 794, 305, 737)(217, 649, 364, 796, 365, 797)(218, 650, 254, 686, 256, 688)(219, 651, 235, 667, 236, 668)(220, 652, 263, 695, 266, 698)(221, 653, 231, 663, 233, 665)(222, 654, 329, 761, 264, 696)(223, 655, 373, 805, 374, 806)(224, 656, 376, 808, 295, 727)(225, 657, 334, 766, 378, 810)(227, 659, 377, 809, 381, 813)(228, 660, 345, 777, 318, 750)(230, 662, 294, 726, 297, 729)(232, 664, 304, 736, 307, 739)(234, 666, 317, 749, 320, 752)(237, 669, 363, 795, 394, 826)(238, 670, 279, 711, 284, 716)(240, 672, 372, 804, 398, 830)(241, 673, 314, 746, 341, 773)(243, 675, 358, 790, 400, 832)(244, 676, 268, 700, 274, 706)(245, 677, 315, 747, 259, 691)(246, 678, 380, 812, 403, 835)(247, 679, 293, 725, 404, 836)(248, 680, 321, 753, 366, 798)(249, 681, 326, 758, 351, 783)(253, 685, 409, 841, 286, 718)(257, 689, 301, 733, 386, 818)(260, 692, 368, 800, 288, 720)(262, 694, 417, 849, 277, 709)(265, 697, 370, 802, 407, 839)(267, 699, 354, 786, 419, 851)(269, 701, 413, 845, 290, 722)(270, 702, 393, 825, 421, 853)(271, 703, 303, 735, 313, 745)(272, 704, 416, 848, 367, 799)(273, 705, 356, 788, 422, 854)(275, 707, 311, 743, 300, 732)(276, 708, 397, 829, 319, 751)(278, 710, 332, 764, 355, 787)(280, 712, 405, 837, 310, 742)(282, 714, 408, 840, 369, 801)(283, 715, 361, 793, 420, 852)(291, 723, 383, 815, 298, 730)(296, 728, 385, 817, 411, 843)(306, 738, 388, 820, 391, 823)(312, 744, 389, 821, 322, 754)(316, 748, 325, 757, 430, 862)(324, 756, 414, 846, 431, 863)(333, 765, 392, 824, 387, 819)(337, 769, 402, 834, 427, 859)(339, 771, 412, 844, 384, 816)(340, 772, 371, 803, 423, 855)(348, 780, 375, 807, 401, 833)(379, 811, 424, 856, 425, 857)(382, 814, 395, 827, 399, 831)(390, 822, 406, 838, 410, 842)(396, 828, 426, 858, 429, 861)
	L = (1, 434)(2, 433)(3, 439)(4, 440)(5, 441)(6, 442)(7, 435)(8, 436)(9, 437)(10, 438)(11, 451)(12, 452)(13, 453)(14, 454)(15, 455)(16, 456)(17, 457)(18, 458)(19, 443)(20, 444)(21, 445)(22, 446)(23, 447)(24, 448)(25, 449)(26, 450)(27, 475)(28, 476)(29, 477)(30, 478)(31, 479)(32, 480)(33, 481)(34, 482)(35, 483)(36, 484)(37, 485)(38, 486)(39, 487)(40, 488)(41, 489)(42, 490)(43, 459)(44, 460)(45, 461)(46, 462)(47, 463)(48, 464)(49, 465)(50, 466)(51, 467)(52, 468)(53, 469)(54, 470)(55, 471)(56, 472)(57, 473)(58, 474)(59, 523)(60, 524)(61, 525)(62, 526)(63, 527)(64, 528)(65, 529)(66, 530)(67, 531)(68, 532)(69, 533)(70, 534)(71, 535)(72, 536)(73, 537)(74, 538)(75, 539)(76, 540)(77, 541)(78, 542)(79, 543)(80, 544)(81, 545)(82, 546)(83, 547)(84, 548)(85, 549)(86, 550)(87, 551)(88, 552)(89, 553)(90, 554)(91, 491)(92, 492)(93, 493)(94, 494)(95, 495)(96, 496)(97, 497)(98, 498)(99, 499)(100, 500)(101, 501)(102, 502)(103, 503)(104, 504)(105, 505)(106, 506)(107, 507)(108, 508)(109, 509)(110, 510)(111, 511)(112, 512)(113, 513)(114, 514)(115, 515)(116, 516)(117, 517)(118, 518)(119, 519)(120, 520)(121, 521)(122, 522)(123, 619)(124, 620)(125, 595)(126, 621)(127, 622)(128, 607)(129, 623)(130, 624)(131, 589)(132, 625)(133, 626)(134, 613)(135, 627)(136, 628)(137, 601)(138, 629)(139, 630)(140, 604)(141, 631)(142, 632)(143, 592)(144, 633)(145, 634)(146, 616)(147, 635)(148, 636)(149, 598)(150, 637)(151, 638)(152, 610)(153, 639)(154, 640)(155, 692)(156, 724)(157, 563)(158, 728)(159, 743)(160, 575)(161, 745)(162, 739)(163, 557)(164, 747)(165, 748)(166, 581)(167, 699)(168, 751)(169, 569)(170, 753)(171, 697)(172, 572)(173, 732)(174, 756)(175, 560)(176, 757)(177, 702)(178, 584)(179, 644)(180, 761)(181, 566)(182, 708)(183, 764)(184, 578)(185, 664)(186, 766)(187, 555)(188, 556)(189, 558)(190, 559)(191, 561)(192, 562)(193, 564)(194, 565)(195, 567)(196, 568)(197, 570)(198, 571)(199, 573)(200, 574)(201, 576)(202, 577)(203, 579)(204, 580)(205, 582)(206, 583)(207, 585)(208, 586)(209, 774)(210, 786)(211, 782)(212, 611)(213, 787)(214, 788)(215, 790)(216, 793)(217, 795)(218, 798)(219, 799)(220, 775)(221, 801)(222, 803)(223, 804)(224, 807)(225, 809)(226, 811)(227, 812)(228, 814)(229, 805)(230, 784)(231, 816)(232, 617)(233, 819)(234, 810)(235, 822)(236, 823)(237, 825)(238, 827)(239, 828)(240, 829)(241, 831)(242, 796)(243, 770)(244, 833)(245, 834)(246, 781)(247, 780)(248, 791)(249, 797)(250, 838)(251, 691)(252, 839)(253, 806)(254, 842)(255, 722)(256, 843)(257, 792)(258, 771)(259, 683)(260, 587)(261, 847)(262, 813)(263, 844)(264, 742)(265, 603)(266, 850)(267, 599)(268, 852)(269, 821)(270, 609)(271, 715)(272, 755)(273, 713)(274, 855)(275, 837)(276, 614)(277, 772)(278, 789)(279, 854)(280, 815)(281, 705)(282, 731)(283, 703)(284, 856)(285, 845)(286, 857)(287, 794)(288, 759)(289, 765)(290, 687)(291, 767)(292, 588)(293, 826)(294, 824)(295, 859)(296, 590)(297, 860)(298, 763)(299, 714)(300, 605)(301, 776)(302, 740)(303, 830)(304, 840)(305, 754)(306, 741)(307, 594)(308, 734)(309, 738)(310, 696)(311, 591)(312, 800)(313, 593)(314, 832)(315, 596)(316, 597)(317, 820)(318, 858)(319, 600)(320, 863)(321, 602)(322, 737)(323, 704)(324, 606)(325, 608)(326, 802)(327, 720)(328, 835)(329, 612)(330, 848)(331, 730)(332, 615)(333, 721)(334, 618)(335, 723)(336, 849)(337, 818)(338, 675)(339, 690)(340, 709)(341, 846)(342, 641)(343, 652)(344, 733)(345, 851)(346, 836)(347, 862)(348, 679)(349, 678)(350, 643)(351, 861)(352, 662)(353, 808)(354, 642)(355, 645)(356, 646)(357, 710)(358, 647)(359, 680)(360, 689)(361, 648)(362, 719)(363, 649)(364, 674)(365, 681)(366, 650)(367, 651)(368, 744)(369, 653)(370, 758)(371, 654)(372, 655)(373, 661)(374, 685)(375, 656)(376, 785)(377, 657)(378, 666)(379, 658)(380, 659)(381, 694)(382, 660)(383, 712)(384, 663)(385, 841)(386, 769)(387, 665)(388, 749)(389, 701)(390, 667)(391, 668)(392, 726)(393, 669)(394, 725)(395, 670)(396, 671)(397, 672)(398, 735)(399, 673)(400, 746)(401, 676)(402, 677)(403, 760)(404, 778)(405, 707)(406, 682)(407, 684)(408, 736)(409, 817)(410, 686)(411, 688)(412, 695)(413, 717)(414, 773)(415, 693)(416, 762)(417, 768)(418, 698)(419, 777)(420, 700)(421, 864)(422, 711)(423, 706)(424, 716)(425, 718)(426, 750)(427, 727)(428, 729)(429, 783)(430, 779)(431, 752)(432, 853)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.3269
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 144 e = 432 f = 234
	degree seq :: [ 6^144 ]

E28.3271 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 24})
Quotient :: loop
Aut^+ = $<432, 248>$ (small group id <432, 248>)
Aut   = $<864, 2225>$ (small group id <864, 2225>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, (T2^-1 * T1^-1)^2, T2^2 * T1 * T2 * T1^-1 * T2^2 * T1^-2 * T2 * T1^-1, T2^-4 * T1^-1 * T2 * T1^-1 * T2^3 * T1^-1 * T2^-2 * T1, T2 * T1^-1 * T2 * T1^-1 * T2^3 * T1 * T2^5 * T1^-1 * T2^2 * T1^-1, T2^2 * T1^-1 * T2^-10 * T1^-1 * T2^2 * T1^-1 ]
Map::
	R = (1, 433, 3, 435, 9, 441, 19, 451, 37, 469, 67, 499, 117, 549, 199, 631, 294, 726, 250, 682, 219, 651, 307, 739, 359, 791, 262, 694, 171, 603, 261, 693, 339, 771, 239, 671, 150, 582, 86, 518, 48, 480, 26, 458, 13, 445, 5, 437)(2, 434, 6, 438, 14, 446, 27, 459, 50, 482, 89, 521, 155, 587, 246, 678, 300, 732, 204, 636, 122, 554, 207, 639, 303, 735, 273, 705, 181, 613, 233, 665, 333, 765, 269, 701, 178, 610, 102, 534, 58, 490, 32, 464, 16, 448, 7, 439)(4, 436, 11, 443, 22, 454, 41, 473, 74, 506, 129, 561, 215, 647, 313, 745, 297, 729, 203, 635, 160, 592, 251, 683, 330, 762, 231, 663, 143, 575, 230, 662, 329, 761, 280, 712, 188, 620, 108, 540, 62, 494, 34, 466, 17, 449, 8, 440)(10, 442, 21, 453, 40, 472, 71, 503, 124, 556, 209, 641, 305, 737, 350, 782, 252, 684, 161, 593, 94, 526, 164, 596, 224, 656, 138, 570, 79, 511, 137, 569, 223, 655, 321, 753, 285, 717, 192, 624, 112, 544, 64, 496, 35, 467, 18, 450)(12, 444, 23, 455, 43, 475, 77, 509, 134, 566, 221, 653, 318, 750, 304, 736, 208, 640, 123, 555, 72, 504, 126, 558, 211, 643, 166, 598, 95, 527, 165, 597, 255, 687, 353, 785, 325, 757, 226, 658, 140, 572, 80, 512, 44, 476, 24, 456)(15, 447, 29, 461, 53, 485, 93, 525, 162, 594, 253, 685, 351, 783, 317, 749, 220, 652, 133, 565, 78, 510, 136, 568, 190, 622, 110, 542, 63, 495, 109, 541, 189, 621, 281, 713, 356, 788, 257, 689, 168, 600, 96, 528, 54, 486, 30, 462)(20, 452, 39, 471, 70, 502, 121, 553, 205, 637, 301, 733, 385, 817, 410, 842, 366, 798, 270, 702, 180, 612, 172, 604, 98, 530, 56, 488, 31, 463, 55, 487, 97, 529, 169, 601, 259, 691, 288, 720, 195, 627, 114, 546, 65, 497, 36, 468)(25, 457, 45, 477, 81, 513, 141, 573, 228, 660, 327, 759, 309, 741, 212, 644, 127, 559, 73, 505, 42, 474, 76, 508, 132, 564, 218, 650, 151, 583, 240, 672, 340, 772, 400, 832, 357, 789, 258, 690, 170, 602, 144, 576, 82, 514, 46, 478)(28, 460, 52, 484, 92, 524, 159, 591, 113, 545, 193, 625, 286, 718, 377, 809, 326, 758, 227, 659, 142, 574, 182, 614, 104, 536, 60, 492, 33, 465, 59, 491, 103, 535, 179, 611, 271, 703, 342, 774, 242, 674, 152, 584, 87, 519, 49, 481)(38, 470, 69, 501, 120, 552, 202, 634, 298, 730, 383, 815, 416, 848, 427, 859, 412, 844, 374, 806, 282, 714, 275, 707, 184, 616, 106, 538, 61, 493, 105, 537, 183, 615, 274, 706, 368, 800, 380, 812, 290, 722, 196, 628, 115, 547, 66, 498)(47, 479, 83, 515, 145, 577, 232, 664, 331, 763, 398, 830, 343, 775, 243, 675, 153, 585, 88, 520, 51, 483, 91, 523, 158, 590, 249, 681, 316, 748, 393, 825, 418, 850, 430, 862, 420, 852, 396, 828, 322, 754, 234, 666, 146, 578, 84, 516)(57, 489, 99, 531, 173, 605, 263, 695, 360, 792, 408, 840, 389, 821, 310, 742, 213, 645, 128, 560, 75, 507, 131, 563, 206, 638, 302, 734, 349, 781, 404, 836, 423, 855, 432, 864, 424, 856, 406, 838, 354, 786, 264, 696, 174, 606, 100, 532)(68, 500, 119, 551, 163, 595, 254, 686, 352, 784, 347, 779, 403, 835, 422, 854, 428, 860, 414, 846, 378, 810, 338, 770, 283, 715, 191, 623, 111, 543, 176, 608, 101, 533, 175, 607, 265, 697, 361, 793, 381, 813, 291, 723, 197, 629, 116, 548)(85, 517, 147, 579, 235, 667, 334, 766, 399, 831, 379, 811, 311, 743, 214, 646, 130, 562, 217, 649, 135, 567, 222, 654, 320, 752, 295, 727, 382, 814, 415, 847, 429, 861, 426, 858, 411, 843, 373, 805, 355, 787, 256, 688, 167, 599, 148, 580)(90, 522, 157, 589, 125, 557, 210, 642, 299, 731, 384, 816, 409, 841, 425, 857, 431, 863, 421, 853, 401, 833, 365, 797, 323, 755, 225, 657, 139, 571, 186, 618, 107, 539, 185, 617, 276, 708, 369, 801, 402, 834, 344, 776, 244, 676, 154, 586)(118, 550, 201, 633, 272, 704, 367, 799, 391, 823, 314, 746, 392, 824, 407, 839, 419, 851, 394, 826, 337, 769, 238, 670, 336, 768, 287, 719, 194, 626, 278, 710, 187, 619, 277, 709, 370, 802, 319, 751, 395, 827, 332, 764, 292, 724, 198, 630)(149, 581, 236, 668, 335, 767, 289, 721, 376, 808, 284, 716, 345, 777, 245, 677, 156, 588, 248, 680, 229, 661, 328, 760, 293, 725, 200, 632, 296, 728, 375, 807, 413, 845, 405, 837, 364, 796, 268, 700, 363, 795, 341, 773, 241, 673, 237, 669)(177, 609, 266, 698, 362, 794, 306, 738, 387, 819, 324, 756, 390, 822, 312, 744, 216, 648, 315, 747, 260, 692, 358, 790, 346, 778, 247, 679, 348, 780, 397, 829, 417, 849, 386, 818, 372, 804, 279, 711, 371, 803, 388, 820, 308, 740, 267, 699)
	L = (1, 434)(2, 436)(3, 440)(4, 433)(5, 444)(6, 437)(7, 447)(8, 442)(9, 450)(10, 435)(11, 439)(12, 438)(13, 457)(14, 456)(15, 443)(16, 463)(17, 465)(18, 452)(19, 468)(20, 441)(21, 449)(22, 462)(23, 445)(24, 460)(25, 455)(26, 479)(27, 481)(28, 446)(29, 448)(30, 474)(31, 461)(32, 489)(33, 453)(34, 493)(35, 495)(36, 470)(37, 498)(38, 451)(39, 467)(40, 492)(41, 505)(42, 454)(43, 478)(44, 511)(45, 458)(46, 510)(47, 477)(48, 517)(49, 483)(50, 520)(51, 459)(52, 476)(53, 488)(54, 527)(55, 464)(56, 526)(57, 487)(58, 533)(59, 466)(60, 504)(61, 491)(62, 539)(63, 471)(64, 543)(65, 545)(66, 500)(67, 548)(68, 469)(69, 497)(70, 542)(71, 555)(72, 472)(73, 507)(74, 560)(75, 473)(76, 486)(77, 565)(78, 475)(79, 484)(80, 571)(81, 516)(82, 575)(83, 480)(84, 574)(85, 515)(86, 581)(87, 583)(88, 522)(89, 586)(90, 482)(91, 519)(92, 570)(93, 593)(94, 485)(95, 508)(96, 599)(97, 532)(98, 603)(99, 490)(100, 602)(101, 531)(102, 609)(103, 538)(104, 613)(105, 494)(106, 612)(107, 537)(108, 619)(109, 496)(110, 554)(111, 541)(112, 605)(113, 501)(114, 626)(115, 594)(116, 550)(117, 630)(118, 499)(119, 547)(120, 591)(121, 636)(122, 502)(123, 557)(124, 589)(125, 503)(126, 536)(127, 637)(128, 562)(129, 646)(130, 506)(131, 559)(132, 598)(133, 567)(134, 649)(135, 509)(136, 514)(137, 512)(138, 592)(139, 569)(140, 615)(141, 659)(142, 513)(143, 568)(144, 606)(145, 580)(146, 665)(147, 518)(148, 600)(149, 579)(150, 670)(151, 523)(152, 673)(153, 556)(154, 588)(155, 677)(156, 521)(157, 585)(158, 650)(159, 635)(160, 524)(161, 595)(162, 551)(163, 525)(164, 530)(165, 528)(166, 651)(167, 597)(168, 577)(169, 690)(170, 529)(171, 596)(172, 616)(173, 608)(174, 662)(175, 534)(176, 544)(177, 607)(178, 700)(179, 702)(180, 535)(181, 558)(182, 578)(183, 618)(184, 693)(185, 540)(186, 572)(187, 617)(188, 711)(189, 623)(190, 663)(191, 714)(192, 716)(193, 546)(194, 625)(195, 708)(196, 721)(197, 703)(198, 632)(199, 725)(200, 549)(201, 629)(202, 729)(203, 552)(204, 638)(205, 563)(206, 553)(207, 622)(208, 730)(209, 675)(210, 640)(211, 705)(212, 740)(213, 566)(214, 648)(215, 744)(216, 561)(217, 645)(218, 682)(219, 564)(220, 748)(221, 742)(222, 652)(223, 657)(224, 694)(225, 754)(226, 756)(227, 661)(228, 680)(229, 573)(230, 576)(231, 639)(232, 689)(233, 614)(234, 755)(235, 669)(236, 582)(237, 674)(238, 668)(239, 770)(240, 584)(241, 672)(242, 667)(243, 738)(244, 660)(245, 679)(246, 778)(247, 587)(248, 676)(249, 726)(250, 590)(251, 656)(252, 781)(253, 628)(254, 684)(255, 688)(256, 786)(257, 764)(258, 692)(259, 747)(260, 601)(261, 604)(262, 683)(263, 624)(264, 787)(265, 699)(266, 610)(267, 741)(268, 698)(269, 797)(270, 704)(271, 633)(272, 611)(273, 739)(274, 658)(275, 715)(276, 710)(277, 620)(278, 627)(279, 709)(280, 805)(281, 806)(282, 621)(283, 771)(284, 695)(285, 780)(286, 719)(287, 810)(288, 811)(289, 685)(290, 792)(291, 766)(292, 788)(293, 727)(294, 752)(295, 631)(296, 724)(297, 731)(298, 642)(299, 634)(300, 784)(301, 644)(302, 732)(303, 762)(304, 818)(305, 794)(306, 641)(307, 643)(308, 733)(309, 697)(310, 751)(311, 691)(312, 746)(313, 823)(314, 647)(315, 743)(316, 654)(317, 826)(318, 802)(319, 653)(320, 681)(321, 828)(322, 655)(323, 765)(324, 706)(325, 824)(326, 814)(327, 776)(328, 758)(329, 696)(330, 791)(331, 827)(332, 664)(333, 666)(334, 774)(335, 769)(336, 671)(337, 783)(338, 768)(339, 707)(340, 773)(341, 833)(342, 723)(343, 800)(344, 793)(345, 717)(346, 779)(347, 678)(348, 777)(349, 686)(350, 837)(351, 767)(352, 734)(353, 838)(354, 687)(355, 761)(356, 728)(357, 835)(358, 789)(359, 735)(360, 808)(361, 759)(362, 796)(363, 701)(364, 737)(365, 795)(366, 841)(367, 798)(368, 819)(369, 720)(370, 804)(371, 712)(372, 750)(373, 803)(374, 807)(375, 713)(376, 722)(377, 846)(378, 718)(379, 801)(380, 830)(381, 834)(382, 760)(383, 736)(384, 745)(385, 820)(386, 815)(387, 775)(388, 843)(389, 763)(390, 757)(391, 816)(392, 822)(393, 749)(394, 825)(395, 821)(396, 829)(397, 753)(398, 840)(399, 813)(400, 853)(401, 772)(402, 831)(403, 790)(404, 782)(405, 836)(406, 839)(407, 785)(408, 812)(409, 799)(410, 858)(411, 817)(412, 855)(413, 844)(414, 847)(415, 809)(416, 849)(417, 852)(418, 851)(419, 856)(420, 848)(421, 854)(422, 832)(423, 845)(424, 850)(425, 842)(426, 857)(427, 862)(428, 863)(429, 860)(430, 864)(431, 861)(432, 859)
	local type(s) :: { ( 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3 ) }
Outer automorphisms :: reflexible
Dual of E28.3267
Transitivity :: ET+ VT+ AT
Graph::
	v = 18 e = 432 f = 360
	degree seq :: [ 48^18 ]

E28.3272 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 24})
Quotient :: loop
Aut^+ = $<432, 248>$ (small group id <432, 248>)
Aut   = $<864, 2225>$ (small group id <864, 2225>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2)^3, T2 * T1^-2 * T2 * T1^3 * T2 * T1^-1 * T2 * T1 * T2 * T1^-4, T1^-7 * T2 * T1^3 * T2 * T1^3 * T2 * T1^-2, (T2 * T1^3 * T2 * T1^6)^2 ]
Map:: polytopal non-degenerate
	R = (1, 433, 3, 435)(2, 434, 6, 438)(4, 436, 9, 441)(5, 437, 12, 444)(7, 439, 16, 448)(8, 440, 13, 445)(10, 442, 19, 451)(11, 443, 22, 454)(14, 446, 23, 455)(15, 447, 28, 460)(17, 449, 30, 462)(18, 450, 33, 465)(20, 452, 35, 467)(21, 453, 38, 470)(24, 456, 39, 471)(25, 457, 44, 476)(26, 458, 45, 477)(27, 459, 48, 480)(29, 461, 49, 481)(31, 463, 53, 485)(32, 464, 56, 488)(34, 466, 59, 491)(36, 468, 61, 493)(37, 469, 64, 496)(40, 472, 65, 497)(41, 473, 70, 502)(42, 474, 71, 503)(43, 475, 74, 506)(46, 478, 77, 509)(47, 479, 80, 512)(50, 482, 81, 513)(51, 483, 85, 517)(52, 484, 88, 520)(54, 486, 90, 522)(55, 487, 93, 525)(57, 489, 94, 526)(58, 490, 98, 530)(60, 492, 101, 533)(62, 494, 103, 535)(63, 495, 106, 538)(66, 498, 107, 539)(67, 499, 112, 544)(68, 500, 113, 545)(69, 501, 116, 548)(72, 504, 119, 551)(73, 505, 122, 554)(75, 507, 123, 555)(76, 508, 127, 559)(78, 510, 129, 561)(79, 511, 132, 564)(82, 514, 133, 565)(83, 515, 138, 570)(84, 516, 139, 571)(86, 518, 142, 574)(87, 519, 145, 577)(89, 521, 148, 580)(91, 523, 150, 582)(92, 524, 153, 585)(95, 527, 154, 586)(96, 528, 158, 590)(97, 529, 161, 593)(99, 531, 162, 594)(100, 532, 166, 598)(102, 534, 169, 601)(104, 536, 171, 603)(105, 537, 174, 606)(108, 540, 175, 607)(109, 541, 180, 612)(110, 542, 181, 613)(111, 543, 184, 616)(114, 546, 187, 619)(115, 547, 190, 622)(117, 549, 191, 623)(118, 550, 195, 627)(120, 552, 197, 629)(121, 553, 200, 632)(124, 556, 201, 633)(125, 557, 205, 637)(126, 558, 208, 640)(128, 560, 211, 643)(130, 562, 213, 645)(131, 563, 216, 648)(134, 566, 217, 649)(135, 567, 221, 653)(136, 568, 189, 621)(137, 569, 223, 655)(140, 572, 226, 658)(141, 573, 229, 661)(143, 575, 210, 642)(144, 576, 177, 609)(146, 578, 231, 663)(147, 579, 235, 667)(149, 581, 196, 628)(151, 583, 238, 670)(152, 584, 241, 673)(155, 587, 202, 634)(156, 588, 244, 676)(157, 589, 245, 677)(159, 591, 236, 668)(160, 592, 219, 651)(163, 595, 249, 681)(164, 596, 251, 683)(165, 597, 254, 686)(167, 599, 206, 638)(168, 600, 227, 659)(170, 602, 259, 691)(172, 604, 261, 693)(173, 605, 264, 696)(176, 608, 265, 697)(178, 610, 270, 702)(179, 611, 273, 705)(182, 614, 275, 707)(183, 615, 278, 710)(185, 617, 279, 711)(186, 618, 282, 714)(188, 620, 284, 716)(192, 624, 287, 719)(193, 625, 290, 722)(194, 626, 292, 724)(198, 630, 295, 727)(199, 631, 298, 730)(203, 635, 301, 733)(204, 636, 277, 709)(207, 639, 267, 699)(209, 641, 304, 736)(212, 644, 283, 715)(214, 646, 309, 741)(215, 647, 311, 743)(218, 650, 312, 744)(220, 652, 263, 695)(222, 654, 316, 748)(224, 656, 318, 750)(225, 657, 321, 753)(228, 660, 322, 754)(230, 662, 324, 756)(232, 664, 269, 701)(233, 665, 327, 759)(234, 666, 328, 760)(237, 669, 332, 764)(239, 671, 334, 766)(240, 672, 336, 768)(242, 674, 337, 769)(243, 675, 315, 747)(246, 678, 341, 773)(247, 679, 330, 762)(248, 680, 331, 763)(250, 682, 342, 774)(252, 684, 323, 755)(253, 685, 338, 770)(255, 687, 268, 700)(256, 688, 303, 735)(257, 689, 271, 703)(258, 690, 274, 706)(260, 692, 345, 777)(262, 694, 306, 738)(266, 698, 347, 779)(272, 704, 353, 785)(276, 708, 356, 788)(280, 712, 359, 791)(281, 713, 361, 793)(285, 717, 363, 795)(286, 718, 365, 797)(288, 720, 367, 799)(289, 721, 352, 784)(291, 723, 348, 780)(293, 725, 368, 800)(294, 726, 355, 787)(296, 728, 370, 802)(297, 729, 371, 803)(299, 731, 372, 804)(300, 732, 346, 778)(302, 734, 374, 806)(305, 737, 349, 781)(307, 739, 377, 809)(308, 740, 378, 810)(310, 742, 380, 812)(313, 745, 381, 813)(314, 746, 351, 783)(317, 749, 357, 789)(319, 751, 384, 816)(320, 752, 386, 818)(325, 757, 390, 822)(326, 758, 391, 823)(329, 761, 382, 814)(333, 765, 393, 825)(335, 767, 389, 821)(339, 771, 360, 792)(340, 772, 396, 828)(343, 775, 392, 824)(344, 776, 362, 794)(350, 782, 401, 833)(354, 786, 403, 835)(358, 790, 405, 837)(364, 796, 408, 840)(366, 798, 398, 830)(369, 801, 399, 831)(373, 805, 411, 843)(375, 807, 412, 844)(376, 808, 413, 845)(379, 811, 414, 846)(383, 815, 416, 848)(385, 817, 415, 847)(387, 819, 417, 849)(388, 820, 410, 842)(394, 826, 402, 834)(395, 827, 422, 854)(397, 829, 407, 839)(400, 832, 426, 858)(404, 836, 428, 860)(406, 838, 424, 856)(409, 841, 430, 862)(418, 850, 429, 861)(419, 851, 427, 859)(420, 852, 431, 863)(421, 853, 425, 857)(423, 855, 432, 864)
	L = (1, 434)(2, 437)(3, 439)(4, 433)(5, 443)(6, 445)(7, 447)(8, 435)(9, 450)(10, 436)(11, 453)(12, 455)(13, 457)(14, 438)(15, 459)(16, 441)(17, 440)(18, 464)(19, 466)(20, 442)(21, 469)(22, 471)(23, 473)(24, 444)(25, 475)(26, 446)(27, 479)(28, 481)(29, 448)(30, 484)(31, 449)(32, 487)(33, 451)(34, 490)(35, 492)(36, 452)(37, 495)(38, 497)(39, 499)(40, 454)(41, 501)(42, 456)(43, 505)(44, 462)(45, 508)(46, 458)(47, 511)(48, 513)(49, 515)(50, 460)(51, 461)(52, 519)(53, 521)(54, 463)(55, 524)(56, 526)(57, 465)(58, 529)(59, 467)(60, 532)(61, 534)(62, 468)(63, 537)(64, 539)(65, 541)(66, 470)(67, 543)(68, 472)(69, 547)(70, 477)(71, 550)(72, 474)(73, 553)(74, 555)(75, 476)(76, 558)(77, 560)(78, 478)(79, 563)(80, 565)(81, 567)(82, 480)(83, 569)(84, 482)(85, 573)(86, 483)(87, 576)(88, 485)(89, 579)(90, 581)(91, 486)(92, 584)(93, 586)(94, 588)(95, 488)(96, 489)(97, 592)(98, 594)(99, 491)(100, 597)(101, 493)(102, 600)(103, 602)(104, 494)(105, 605)(106, 607)(107, 609)(108, 496)(109, 611)(110, 498)(111, 615)(112, 503)(113, 618)(114, 500)(115, 621)(116, 623)(117, 502)(118, 626)(119, 628)(120, 504)(121, 631)(122, 633)(123, 635)(124, 506)(125, 507)(126, 639)(127, 509)(128, 642)(129, 644)(130, 510)(131, 647)(132, 649)(133, 622)(134, 512)(135, 652)(136, 514)(137, 612)(138, 517)(139, 657)(140, 516)(141, 660)(142, 643)(143, 518)(144, 613)(145, 663)(146, 520)(147, 666)(148, 522)(149, 629)(150, 669)(151, 523)(152, 672)(153, 634)(154, 675)(155, 525)(156, 617)(157, 527)(158, 679)(159, 528)(160, 680)(161, 681)(162, 625)(163, 530)(164, 531)(165, 685)(166, 638)(167, 533)(168, 689)(169, 535)(170, 690)(171, 692)(172, 536)(173, 695)(174, 697)(175, 699)(176, 538)(177, 701)(178, 540)(179, 704)(180, 545)(181, 706)(182, 542)(183, 709)(184, 711)(185, 544)(186, 713)(187, 715)(188, 546)(189, 718)(190, 719)(191, 720)(192, 548)(193, 549)(194, 723)(195, 551)(196, 582)(197, 726)(198, 552)(199, 729)(200, 587)(201, 710)(202, 554)(203, 732)(204, 556)(205, 735)(206, 557)(207, 702)(208, 736)(209, 559)(210, 739)(211, 561)(212, 716)(213, 740)(214, 562)(215, 712)(216, 744)(217, 593)(218, 564)(219, 566)(220, 747)(221, 571)(222, 568)(223, 750)(224, 570)(225, 752)(226, 601)(227, 572)(228, 728)(229, 574)(230, 575)(231, 751)(232, 577)(233, 578)(234, 717)(235, 591)(236, 580)(237, 763)(238, 765)(239, 583)(240, 721)(241, 769)(242, 585)(243, 696)(244, 590)(245, 772)(246, 589)(247, 742)(248, 734)(249, 698)(250, 595)(251, 767)(252, 596)(253, 749)(254, 700)(255, 598)(256, 599)(257, 776)(258, 707)(259, 603)(260, 714)(261, 725)(262, 604)(263, 778)(264, 779)(265, 780)(266, 606)(267, 781)(268, 608)(269, 782)(270, 659)(271, 610)(272, 784)(273, 655)(274, 678)(275, 787)(276, 614)(277, 790)(278, 791)(279, 792)(280, 616)(281, 682)(282, 619)(283, 645)(284, 794)(285, 620)(286, 796)(287, 785)(288, 798)(289, 624)(290, 683)(291, 687)(292, 800)(293, 627)(294, 788)(295, 650)(296, 630)(297, 786)(298, 804)(299, 632)(300, 653)(301, 637)(302, 636)(303, 807)(304, 665)(305, 640)(306, 641)(307, 789)(308, 673)(309, 811)(310, 646)(311, 813)(312, 802)(313, 648)(314, 651)(315, 677)(316, 809)(317, 654)(318, 815)(319, 656)(320, 817)(321, 658)(322, 684)(323, 661)(324, 805)(325, 662)(326, 664)(327, 694)(328, 814)(329, 667)(330, 668)(331, 783)(332, 670)(333, 797)(334, 819)(335, 671)(336, 810)(337, 686)(338, 674)(339, 676)(340, 827)(341, 691)(342, 829)(343, 688)(344, 795)(345, 693)(346, 830)(347, 774)(348, 831)(349, 832)(350, 743)(351, 703)(352, 834)(353, 835)(354, 705)(355, 727)(356, 770)(357, 708)(358, 836)(359, 833)(360, 838)(361, 777)(362, 746)(363, 731)(364, 758)(365, 748)(366, 733)(367, 722)(368, 738)(369, 724)(370, 842)(371, 843)(372, 760)(373, 730)(374, 764)(375, 757)(376, 737)(377, 756)(378, 741)(379, 837)(380, 775)(381, 847)(382, 745)(383, 771)(384, 759)(385, 761)(386, 849)(387, 753)(388, 754)(389, 755)(390, 852)(391, 853)(392, 762)(393, 766)(394, 768)(395, 851)(396, 773)(397, 855)(398, 856)(399, 857)(400, 803)(401, 823)(402, 859)(403, 858)(404, 808)(405, 806)(406, 799)(407, 793)(408, 825)(409, 801)(410, 826)(411, 822)(412, 824)(413, 864)(414, 812)(415, 861)(416, 816)(417, 821)(418, 818)(419, 820)(420, 828)(421, 862)(422, 863)(423, 860)(424, 848)(425, 840)(426, 845)(427, 841)(428, 846)(429, 839)(430, 854)(431, 844)(432, 850)
	local type(s) :: { ( 3, 24, 3, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.3268
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 216 e = 432 f = 162
	degree seq :: [ 4^216 ]

E28.3273 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 24})
Quotient :: dipole
Aut^+ = $<432, 248>$ (small group id <432, 248>)
Aut   = $<864, 2225>$ (small group id <864, 2225>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, Y2^3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1, (Y2 * Y1 * Y2^-1 * Y1)^6, (Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2)^2, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 433, 2, 434)(3, 435, 7, 439)(4, 436, 8, 440)(5, 437, 9, 441)(6, 438, 10, 442)(11, 443, 19, 451)(12, 444, 20, 452)(13, 445, 21, 453)(14, 446, 22, 454)(15, 447, 23, 455)(16, 448, 24, 456)(17, 449, 25, 457)(18, 450, 26, 458)(27, 459, 43, 475)(28, 460, 44, 476)(29, 461, 45, 477)(30, 462, 46, 478)(31, 463, 47, 479)(32, 464, 48, 480)(33, 465, 49, 481)(34, 466, 50, 482)(35, 467, 51, 483)(36, 468, 52, 484)(37, 469, 53, 485)(38, 470, 54, 486)(39, 471, 55, 487)(40, 472, 56, 488)(41, 473, 57, 489)(42, 474, 58, 490)(59, 491, 91, 523)(60, 492, 92, 524)(61, 493, 93, 525)(62, 494, 94, 526)(63, 495, 95, 527)(64, 496, 96, 528)(65, 497, 97, 529)(66, 498, 98, 530)(67, 499, 99, 531)(68, 500, 100, 532)(69, 501, 101, 533)(70, 502, 102, 534)(71, 503, 103, 535)(72, 504, 104, 536)(73, 505, 105, 537)(74, 506, 106, 538)(75, 507, 107, 539)(76, 508, 108, 540)(77, 509, 109, 541)(78, 510, 110, 542)(79, 511, 111, 543)(80, 512, 112, 544)(81, 513, 113, 545)(82, 514, 114, 546)(83, 515, 115, 547)(84, 516, 116, 548)(85, 517, 117, 549)(86, 518, 118, 550)(87, 519, 119, 551)(88, 520, 120, 552)(89, 521, 121, 553)(90, 522, 122, 554)(123, 555, 187, 619)(124, 556, 188, 620)(125, 557, 163, 595)(126, 558, 189, 621)(127, 559, 190, 622)(128, 560, 175, 607)(129, 561, 191, 623)(130, 562, 192, 624)(131, 563, 157, 589)(132, 564, 193, 625)(133, 565, 194, 626)(134, 566, 181, 613)(135, 567, 195, 627)(136, 568, 196, 628)(137, 569, 169, 601)(138, 570, 197, 629)(139, 571, 198, 630)(140, 572, 172, 604)(141, 573, 199, 631)(142, 574, 200, 632)(143, 575, 160, 592)(144, 576, 201, 633)(145, 577, 202, 634)(146, 578, 184, 616)(147, 579, 203, 635)(148, 580, 204, 636)(149, 581, 166, 598)(150, 582, 205, 637)(151, 583, 206, 638)(152, 584, 178, 610)(153, 585, 207, 639)(154, 586, 208, 640)(155, 587, 237, 669)(156, 588, 239, 671)(158, 590, 241, 673)(159, 591, 219, 651)(161, 593, 242, 674)(162, 594, 243, 675)(164, 596, 231, 663)(165, 597, 211, 643)(167, 599, 244, 676)(168, 600, 214, 646)(170, 602, 245, 677)(171, 603, 247, 679)(173, 605, 220, 652)(174, 606, 249, 681)(176, 608, 209, 641)(177, 609, 233, 665)(179, 611, 250, 682)(180, 612, 251, 683)(182, 614, 217, 649)(183, 615, 252, 684)(185, 617, 253, 685)(186, 618, 255, 687)(210, 642, 212, 644)(213, 645, 235, 667)(215, 647, 254, 686)(216, 648, 229, 661)(218, 650, 238, 670)(221, 653, 272, 704)(222, 654, 279, 711)(223, 655, 227, 659)(224, 656, 280, 712)(225, 657, 281, 713)(226, 658, 282, 714)(228, 660, 283, 715)(230, 662, 284, 716)(232, 664, 246, 678)(234, 666, 285, 717)(236, 668, 273, 705)(240, 672, 292, 724)(248, 680, 308, 740)(256, 688, 299, 731)(257, 689, 314, 746)(258, 690, 318, 750)(259, 691, 320, 752)(260, 692, 321, 753)(261, 693, 322, 754)(262, 694, 323, 755)(263, 695, 324, 756)(264, 696, 325, 757)(265, 697, 326, 758)(266, 698, 328, 760)(267, 699, 330, 762)(268, 700, 332, 764)(269, 701, 334, 766)(270, 702, 335, 767)(271, 703, 336, 768)(274, 706, 337, 769)(275, 707, 338, 770)(276, 708, 339, 771)(277, 709, 340, 772)(278, 710, 286, 718)(287, 719, 343, 775)(288, 720, 344, 776)(289, 721, 341, 773)(290, 722, 345, 777)(291, 723, 346, 778)(293, 725, 347, 779)(294, 726, 348, 780)(295, 727, 349, 781)(296, 728, 350, 782)(297, 729, 351, 783)(298, 730, 352, 784)(300, 732, 353, 785)(301, 733, 354, 786)(302, 734, 355, 787)(303, 735, 356, 788)(304, 736, 357, 789)(305, 737, 358, 790)(306, 738, 359, 791)(307, 739, 360, 792)(309, 741, 361, 793)(310, 742, 362, 794)(311, 743, 363, 795)(312, 744, 364, 796)(313, 745, 365, 797)(315, 747, 319, 751)(316, 748, 366, 798)(317, 749, 367, 799)(327, 759, 381, 813)(329, 761, 374, 806)(331, 763, 385, 817)(333, 765, 383, 815)(342, 774, 388, 820)(368, 800, 400, 832)(369, 801, 401, 833)(370, 802, 408, 840)(371, 803, 409, 841)(372, 804, 410, 842)(373, 805, 407, 839)(375, 807, 411, 843)(376, 808, 412, 844)(377, 809, 413, 845)(378, 810, 391, 823)(379, 811, 392, 824)(380, 812, 414, 846)(382, 814, 404, 836)(384, 816, 403, 835)(386, 818, 415, 847)(387, 819, 416, 848)(389, 821, 396, 828)(390, 822, 393, 825)(394, 826, 417, 849)(395, 827, 418, 850)(397, 829, 419, 851)(398, 830, 420, 852)(399, 831, 421, 853)(402, 834, 422, 854)(405, 837, 423, 855)(406, 838, 424, 856)(425, 857, 432, 864)(426, 858, 431, 863)(427, 859, 430, 862)(428, 860, 429, 861)(865, 1297, 867, 1299, 868, 1300)(866, 1298, 869, 1301, 870, 1302)(871, 1303, 875, 1307, 876, 1308)(872, 1304, 877, 1309, 878, 1310)(873, 1305, 879, 1311, 880, 1312)(874, 1306, 881, 1313, 882, 1314)(883, 1315, 891, 1323, 892, 1324)(884, 1316, 893, 1325, 894, 1326)(885, 1317, 895, 1327, 896, 1328)(886, 1318, 897, 1329, 898, 1330)(887, 1319, 899, 1331, 900, 1332)(888, 1320, 901, 1333, 902, 1334)(889, 1321, 903, 1335, 904, 1336)(890, 1322, 905, 1337, 906, 1338)(907, 1339, 923, 1355, 924, 1356)(908, 1340, 925, 1357, 926, 1358)(909, 1341, 927, 1359, 928, 1360)(910, 1342, 929, 1361, 930, 1362)(911, 1343, 931, 1363, 932, 1364)(912, 1344, 933, 1365, 934, 1366)(913, 1345, 935, 1367, 936, 1368)(914, 1346, 937, 1369, 938, 1370)(915, 1347, 939, 1371, 940, 1372)(916, 1348, 941, 1373, 942, 1374)(917, 1349, 943, 1375, 944, 1376)(918, 1350, 945, 1377, 946, 1378)(919, 1351, 947, 1379, 948, 1380)(920, 1352, 949, 1381, 950, 1382)(921, 1353, 951, 1383, 952, 1384)(922, 1354, 953, 1385, 954, 1386)(955, 1387, 987, 1419, 988, 1420)(956, 1388, 989, 1421, 990, 1422)(957, 1389, 991, 1423, 992, 1424)(958, 1390, 993, 1425, 994, 1426)(959, 1391, 995, 1427, 996, 1428)(960, 1392, 997, 1429, 998, 1430)(961, 1393, 999, 1431, 1000, 1432)(962, 1394, 1001, 1433, 1002, 1434)(963, 1395, 1003, 1435, 1004, 1436)(964, 1396, 1005, 1437, 1006, 1438)(965, 1397, 1007, 1439, 1008, 1440)(966, 1398, 1009, 1441, 1010, 1442)(967, 1399, 1011, 1443, 1012, 1444)(968, 1400, 1013, 1445, 1014, 1446)(969, 1401, 1015, 1447, 1016, 1448)(970, 1402, 1017, 1449, 1018, 1450)(971, 1403, 1019, 1451, 1020, 1452)(972, 1404, 1021, 1453, 1022, 1454)(973, 1405, 1023, 1455, 1024, 1456)(974, 1406, 1025, 1457, 1026, 1458)(975, 1407, 1027, 1459, 1028, 1460)(976, 1408, 1029, 1461, 1030, 1462)(977, 1409, 1031, 1463, 1032, 1464)(978, 1410, 1033, 1465, 1034, 1466)(979, 1411, 1035, 1467, 1036, 1468)(980, 1412, 1037, 1469, 1038, 1470)(981, 1413, 1039, 1471, 1040, 1472)(982, 1414, 1041, 1473, 1042, 1474)(983, 1415, 1043, 1475, 1044, 1476)(984, 1416, 1045, 1477, 1046, 1478)(985, 1417, 1047, 1479, 1048, 1480)(986, 1418, 1049, 1481, 1050, 1482)(1051, 1483, 1121, 1553, 1181, 1613)(1052, 1484, 1067, 1499, 1135, 1567)(1053, 1485, 1124, 1556, 1128, 1560)(1054, 1486, 1063, 1495, 1077, 1509)(1055, 1487, 1123, 1555, 1136, 1568)(1056, 1488, 1071, 1503, 1138, 1570)(1057, 1489, 1110, 1542, 1090, 1522)(1058, 1490, 1065, 1497, 1076, 1508)(1059, 1491, 1127, 1559, 1125, 1557)(1060, 1492, 1069, 1501, 1080, 1512)(1061, 1493, 1129, 1561, 1191, 1623)(1062, 1494, 1131, 1563, 1195, 1627)(1064, 1496, 1133, 1565, 1140, 1572)(1066, 1498, 1112, 1544, 1091, 1523)(1068, 1500, 1137, 1569, 1126, 1558)(1070, 1502, 1139, 1571, 1134, 1566)(1072, 1504, 1141, 1573, 1205, 1637)(1073, 1505, 1074, 1506, 1075, 1507)(1078, 1510, 1081, 1513, 1082, 1514)(1079, 1511, 1083, 1515, 1084, 1516)(1085, 1517, 1093, 1525, 1094, 1526)(1086, 1518, 1095, 1527, 1096, 1528)(1087, 1519, 1097, 1529, 1098, 1530)(1088, 1520, 1099, 1531, 1100, 1532)(1089, 1521, 1102, 1534, 1104, 1536)(1092, 1524, 1118, 1550, 1120, 1552)(1101, 1533, 1150, 1582, 1152, 1584)(1103, 1535, 1114, 1546, 1155, 1587)(1105, 1537, 1157, 1589, 1159, 1591)(1106, 1538, 1154, 1586, 1145, 1577)(1107, 1539, 1117, 1549, 1162, 1594)(1108, 1540, 1160, 1592, 1158, 1590)(1109, 1541, 1164, 1596, 1166, 1598)(1111, 1543, 1168, 1600, 1170, 1602)(1113, 1545, 1173, 1605, 1175, 1607)(1115, 1547, 1163, 1595, 1161, 1593)(1116, 1548, 1176, 1608, 1174, 1606)(1119, 1551, 1177, 1609, 1179, 1611)(1122, 1554, 1148, 1580, 1183, 1615)(1130, 1562, 1143, 1575, 1193, 1625)(1132, 1564, 1149, 1581, 1197, 1629)(1142, 1574, 1144, 1576, 1206, 1638)(1146, 1578, 1167, 1599, 1165, 1597)(1147, 1579, 1180, 1612, 1178, 1610)(1151, 1583, 1156, 1588, 1153, 1585)(1169, 1601, 1172, 1604, 1171, 1603)(1182, 1614, 1185, 1617, 1233, 1665)(1184, 1616, 1234, 1666, 1236, 1668)(1186, 1618, 1238, 1670, 1240, 1672)(1187, 1619, 1241, 1673, 1243, 1675)(1188, 1620, 1232, 1664, 1231, 1663)(1189, 1621, 1190, 1622, 1239, 1671)(1192, 1624, 1246, 1678, 1194, 1626)(1196, 1628, 1198, 1630, 1251, 1683)(1199, 1631, 1252, 1684, 1254, 1686)(1200, 1632, 1237, 1669, 1235, 1667)(1201, 1633, 1244, 1676, 1242, 1674)(1202, 1634, 1250, 1682, 1249, 1681)(1203, 1635, 1204, 1636, 1253, 1685)(1207, 1639, 1211, 1643, 1256, 1688)(1208, 1640, 1214, 1646, 1255, 1687)(1209, 1641, 1257, 1689, 1259, 1691)(1210, 1642, 1260, 1692, 1258, 1690)(1212, 1644, 1220, 1652, 1262, 1694)(1213, 1645, 1217, 1649, 1261, 1693)(1215, 1647, 1263, 1695, 1265, 1697)(1216, 1648, 1266, 1698, 1264, 1696)(1218, 1650, 1267, 1699, 1221, 1653)(1219, 1651, 1268, 1700, 1224, 1656)(1222, 1654, 1225, 1657, 1270, 1702)(1223, 1655, 1228, 1660, 1269, 1701)(1226, 1658, 1230, 1662, 1272, 1704)(1227, 1659, 1229, 1661, 1271, 1703)(1245, 1677, 1248, 1680, 1247, 1679)(1273, 1705, 1278, 1710, 1290, 1722)(1274, 1706, 1277, 1709, 1289, 1721)(1275, 1707, 1291, 1723, 1279, 1711)(1276, 1708, 1292, 1724, 1280, 1712)(1281, 1713, 1286, 1718, 1294, 1726)(1282, 1714, 1285, 1717, 1293, 1725)(1283, 1715, 1295, 1727, 1287, 1719)(1284, 1716, 1296, 1728, 1288, 1720)
	L = (1, 866)(2, 865)(3, 871)(4, 872)(5, 873)(6, 874)(7, 867)(8, 868)(9, 869)(10, 870)(11, 883)(12, 884)(13, 885)(14, 886)(15, 887)(16, 888)(17, 889)(18, 890)(19, 875)(20, 876)(21, 877)(22, 878)(23, 879)(24, 880)(25, 881)(26, 882)(27, 907)(28, 908)(29, 909)(30, 910)(31, 911)(32, 912)(33, 913)(34, 914)(35, 915)(36, 916)(37, 917)(38, 918)(39, 919)(40, 920)(41, 921)(42, 922)(43, 891)(44, 892)(45, 893)(46, 894)(47, 895)(48, 896)(49, 897)(50, 898)(51, 899)(52, 900)(53, 901)(54, 902)(55, 903)(56, 904)(57, 905)(58, 906)(59, 955)(60, 956)(61, 957)(62, 958)(63, 959)(64, 960)(65, 961)(66, 962)(67, 963)(68, 964)(69, 965)(70, 966)(71, 967)(72, 968)(73, 969)(74, 970)(75, 971)(76, 972)(77, 973)(78, 974)(79, 975)(80, 976)(81, 977)(82, 978)(83, 979)(84, 980)(85, 981)(86, 982)(87, 983)(88, 984)(89, 985)(90, 986)(91, 923)(92, 924)(93, 925)(94, 926)(95, 927)(96, 928)(97, 929)(98, 930)(99, 931)(100, 932)(101, 933)(102, 934)(103, 935)(104, 936)(105, 937)(106, 938)(107, 939)(108, 940)(109, 941)(110, 942)(111, 943)(112, 944)(113, 945)(114, 946)(115, 947)(116, 948)(117, 949)(118, 950)(119, 951)(120, 952)(121, 953)(122, 954)(123, 1051)(124, 1052)(125, 1027)(126, 1053)(127, 1054)(128, 1039)(129, 1055)(130, 1056)(131, 1021)(132, 1057)(133, 1058)(134, 1045)(135, 1059)(136, 1060)(137, 1033)(138, 1061)(139, 1062)(140, 1036)(141, 1063)(142, 1064)(143, 1024)(144, 1065)(145, 1066)(146, 1048)(147, 1067)(148, 1068)(149, 1030)(150, 1069)(151, 1070)(152, 1042)(153, 1071)(154, 1072)(155, 1101)(156, 1103)(157, 995)(158, 1105)(159, 1083)(160, 1007)(161, 1106)(162, 1107)(163, 989)(164, 1095)(165, 1075)(166, 1013)(167, 1108)(168, 1078)(169, 1001)(170, 1109)(171, 1111)(172, 1004)(173, 1084)(174, 1113)(175, 992)(176, 1073)(177, 1097)(178, 1016)(179, 1114)(180, 1115)(181, 998)(182, 1081)(183, 1116)(184, 1010)(185, 1117)(186, 1119)(187, 987)(188, 988)(189, 990)(190, 991)(191, 993)(192, 994)(193, 996)(194, 997)(195, 999)(196, 1000)(197, 1002)(198, 1003)(199, 1005)(200, 1006)(201, 1008)(202, 1009)(203, 1011)(204, 1012)(205, 1014)(206, 1015)(207, 1017)(208, 1018)(209, 1040)(210, 1076)(211, 1029)(212, 1074)(213, 1099)(214, 1032)(215, 1118)(216, 1093)(217, 1046)(218, 1102)(219, 1023)(220, 1037)(221, 1136)(222, 1143)(223, 1091)(224, 1144)(225, 1145)(226, 1146)(227, 1087)(228, 1147)(229, 1080)(230, 1148)(231, 1028)(232, 1110)(233, 1041)(234, 1149)(235, 1077)(236, 1137)(237, 1019)(238, 1082)(239, 1020)(240, 1156)(241, 1022)(242, 1025)(243, 1026)(244, 1031)(245, 1034)(246, 1096)(247, 1035)(248, 1172)(249, 1038)(250, 1043)(251, 1044)(252, 1047)(253, 1049)(254, 1079)(255, 1050)(256, 1163)(257, 1178)(258, 1182)(259, 1184)(260, 1185)(261, 1186)(262, 1187)(263, 1188)(264, 1189)(265, 1190)(266, 1192)(267, 1194)(268, 1196)(269, 1198)(270, 1199)(271, 1200)(272, 1085)(273, 1100)(274, 1201)(275, 1202)(276, 1203)(277, 1204)(278, 1150)(279, 1086)(280, 1088)(281, 1089)(282, 1090)(283, 1092)(284, 1094)(285, 1098)(286, 1142)(287, 1207)(288, 1208)(289, 1205)(290, 1209)(291, 1210)(292, 1104)(293, 1211)(294, 1212)(295, 1213)(296, 1214)(297, 1215)(298, 1216)(299, 1120)(300, 1217)(301, 1218)(302, 1219)(303, 1220)(304, 1221)(305, 1222)(306, 1223)(307, 1224)(308, 1112)(309, 1225)(310, 1226)(311, 1227)(312, 1228)(313, 1229)(314, 1121)(315, 1183)(316, 1230)(317, 1231)(318, 1122)(319, 1179)(320, 1123)(321, 1124)(322, 1125)(323, 1126)(324, 1127)(325, 1128)(326, 1129)(327, 1245)(328, 1130)(329, 1238)(330, 1131)(331, 1249)(332, 1132)(333, 1247)(334, 1133)(335, 1134)(336, 1135)(337, 1138)(338, 1139)(339, 1140)(340, 1141)(341, 1153)(342, 1252)(343, 1151)(344, 1152)(345, 1154)(346, 1155)(347, 1157)(348, 1158)(349, 1159)(350, 1160)(351, 1161)(352, 1162)(353, 1164)(354, 1165)(355, 1166)(356, 1167)(357, 1168)(358, 1169)(359, 1170)(360, 1171)(361, 1173)(362, 1174)(363, 1175)(364, 1176)(365, 1177)(366, 1180)(367, 1181)(368, 1264)(369, 1265)(370, 1272)(371, 1273)(372, 1274)(373, 1271)(374, 1193)(375, 1275)(376, 1276)(377, 1277)(378, 1255)(379, 1256)(380, 1278)(381, 1191)(382, 1268)(383, 1197)(384, 1267)(385, 1195)(386, 1279)(387, 1280)(388, 1206)(389, 1260)(390, 1257)(391, 1242)(392, 1243)(393, 1254)(394, 1281)(395, 1282)(396, 1253)(397, 1283)(398, 1284)(399, 1285)(400, 1232)(401, 1233)(402, 1286)(403, 1248)(404, 1246)(405, 1287)(406, 1288)(407, 1237)(408, 1234)(409, 1235)(410, 1236)(411, 1239)(412, 1240)(413, 1241)(414, 1244)(415, 1250)(416, 1251)(417, 1258)(418, 1259)(419, 1261)(420, 1262)(421, 1263)(422, 1266)(423, 1269)(424, 1270)(425, 1296)(426, 1295)(427, 1294)(428, 1293)(429, 1292)(430, 1291)(431, 1290)(432, 1289)(433, 1297)(434, 1298)(435, 1299)(436, 1300)(437, 1301)(438, 1302)(439, 1303)(440, 1304)(441, 1305)(442, 1306)(443, 1307)(444, 1308)(445, 1309)(446, 1310)(447, 1311)(448, 1312)(449, 1313)(450, 1314)(451, 1315)(452, 1316)(453, 1317)(454, 1318)(455, 1319)(456, 1320)(457, 1321)(458, 1322)(459, 1323)(460, 1324)(461, 1325)(462, 1326)(463, 1327)(464, 1328)(465, 1329)(466, 1330)(467, 1331)(468, 1332)(469, 1333)(470, 1334)(471, 1335)(472, 1336)(473, 1337)(474, 1338)(475, 1339)(476, 1340)(477, 1341)(478, 1342)(479, 1343)(480, 1344)(481, 1345)(482, 1346)(483, 1347)(484, 1348)(485, 1349)(486, 1350)(487, 1351)(488, 1352)(489, 1353)(490, 1354)(491, 1355)(492, 1356)(493, 1357)(494, 1358)(495, 1359)(496, 1360)(497, 1361)(498, 1362)(499, 1363)(500, 1364)(501, 1365)(502, 1366)(503, 1367)(504, 1368)(505, 1369)(506, 1370)(507, 1371)(508, 1372)(509, 1373)(510, 1374)(511, 1375)(512, 1376)(513, 1377)(514, 1378)(515, 1379)(516, 1380)(517, 1381)(518, 1382)(519, 1383)(520, 1384)(521, 1385)(522, 1386)(523, 1387)(524, 1388)(525, 1389)(526, 1390)(527, 1391)(528, 1392)(529, 1393)(530, 1394)(531, 1395)(532, 1396)(533, 1397)(534, 1398)(535, 1399)(536, 1400)(537, 1401)(538, 1402)(539, 1403)(540, 1404)(541, 1405)(542, 1406)(543, 1407)(544, 1408)(545, 1409)(546, 1410)(547, 1411)(548, 1412)(549, 1413)(550, 1414)(551, 1415)(552, 1416)(553, 1417)(554, 1418)(555, 1419)(556, 1420)(557, 1421)(558, 1422)(559, 1423)(560, 1424)(561, 1425)(562, 1426)(563, 1427)(564, 1428)(565, 1429)(566, 1430)(567, 1431)(568, 1432)(569, 1433)(570, 1434)(571, 1435)(572, 1436)(573, 1437)(574, 1438)(575, 1439)(576, 1440)(577, 1441)(578, 1442)(579, 1443)(580, 1444)(581, 1445)(582, 1446)(583, 1447)(584, 1448)(585, 1449)(586, 1450)(587, 1451)(588, 1452)(589, 1453)(590, 1454)(591, 1455)(592, 1456)(593, 1457)(594, 1458)(595, 1459)(596, 1460)(597, 1461)(598, 1462)(599, 1463)(600, 1464)(601, 1465)(602, 1466)(603, 1467)(604, 1468)(605, 1469)(606, 1470)(607, 1471)(608, 1472)(609, 1473)(610, 1474)(611, 1475)(612, 1476)(613, 1477)(614, 1478)(615, 1479)(616, 1480)(617, 1481)(618, 1482)(619, 1483)(620, 1484)(621, 1485)(622, 1486)(623, 1487)(624, 1488)(625, 1489)(626, 1490)(627, 1491)(628, 1492)(629, 1493)(630, 1494)(631, 1495)(632, 1496)(633, 1497)(634, 1498)(635, 1499)(636, 1500)(637, 1501)(638, 1502)(639, 1503)(640, 1504)(641, 1505)(642, 1506)(643, 1507)(644, 1508)(645, 1509)(646, 1510)(647, 1511)(648, 1512)(649, 1513)(650, 1514)(651, 1515)(652, 1516)(653, 1517)(654, 1518)(655, 1519)(656, 1520)(657, 1521)(658, 1522)(659, 1523)(660, 1524)(661, 1525)(662, 1526)(663, 1527)(664, 1528)(665, 1529)(666, 1530)(667, 1531)(668, 1532)(669, 1533)(670, 1534)(671, 1535)(672, 1536)(673, 1537)(674, 1538)(675, 1539)(676, 1540)(677, 1541)(678, 1542)(679, 1543)(680, 1544)(681, 1545)(682, 1546)(683, 1547)(684, 1548)(685, 1549)(686, 1550)(687, 1551)(688, 1552)(689, 1553)(690, 1554)(691, 1555)(692, 1556)(693, 1557)(694, 1558)(695, 1559)(696, 1560)(697, 1561)(698, 1562)(699, 1563)(700, 1564)(701, 1565)(702, 1566)(703, 1567)(704, 1568)(705, 1569)(706, 1570)(707, 1571)(708, 1572)(709, 1573)(710, 1574)(711, 1575)(712, 1576)(713, 1577)(714, 1578)(715, 1579)(716, 1580)(717, 1581)(718, 1582)(719, 1583)(720, 1584)(721, 1585)(722, 1586)(723, 1587)(724, 1588)(725, 1589)(726, 1590)(727, 1591)(728, 1592)(729, 1593)(730, 1594)(731, 1595)(732, 1596)(733, 1597)(734, 1598)(735, 1599)(736, 1600)(737, 1601)(738, 1602)(739, 1603)(740, 1604)(741, 1605)(742, 1606)(743, 1607)(744, 1608)(745, 1609)(746, 1610)(747, 1611)(748, 1612)(749, 1613)(750, 1614)(751, 1615)(752, 1616)(753, 1617)(754, 1618)(755, 1619)(756, 1620)(757, 1621)(758, 1622)(759, 1623)(760, 1624)(761, 1625)(762, 1626)(763, 1627)(764, 1628)(765, 1629)(766, 1630)(767, 1631)(768, 1632)(769, 1633)(770, 1634)(771, 1635)(772, 1636)(773, 1637)(774, 1638)(775, 1639)(776, 1640)(777, 1641)(778, 1642)(779, 1643)(780, 1644)(781, 1645)(782, 1646)(783, 1647)(784, 1648)(785, 1649)(786, 1650)(787, 1651)(788, 1652)(789, 1653)(790, 1654)(791, 1655)(792, 1656)(793, 1657)(794, 1658)(795, 1659)(796, 1660)(797, 1661)(798, 1662)(799, 1663)(800, 1664)(801, 1665)(802, 1666)(803, 1667)(804, 1668)(805, 1669)(806, 1670)(807, 1671)(808, 1672)(809, 1673)(810, 1674)(811, 1675)(812, 1676)(813, 1677)(814, 1678)(815, 1679)(816, 1680)(817, 1681)(818, 1682)(819, 1683)(820, 1684)(821, 1685)(822, 1686)(823, 1687)(824, 1688)(825, 1689)(826, 1690)(827, 1691)(828, 1692)(829, 1693)(830, 1694)(831, 1695)(832, 1696)(833, 1697)(834, 1698)(835, 1699)(836, 1700)(837, 1701)(838, 1702)(839, 1703)(840, 1704)(841, 1705)(842, 1706)(843, 1707)(844, 1708)(845, 1709)(846, 1710)(847, 1711)(848, 1712)(849, 1713)(850, 1714)(851, 1715)(852, 1716)(853, 1717)(854, 1718)(855, 1719)(856, 1720)(857, 1721)(858, 1722)(859, 1723)(860, 1724)(861, 1725)(862, 1726)(863, 1727)(864, 1728)
	local type(s) :: { ( 2, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E28.3276
Graph:: bipartite
	v = 360 e = 864 f = 450
	degree seq :: [ 4^216, 6^144 ]

E28.3274 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 24})
Quotient :: dipole
Aut^+ = $<432, 248>$ (small group id <432, 248>)
Aut   = $<864, 2225>$ (small group id <864, 2225>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^3, (R * Y3)^2, (Y2^-1 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (Y2^-1 * Y1^2)^2, Y2^3 * Y1^-1 * Y2 * Y1^-1 * Y2^-4 * Y1 * Y2^-2 * Y1^-1, Y2^5 * Y1^-2 * Y2^2 * Y1^-1 * Y2^-4 * Y1^-1 * Y2 * Y1^-1, Y2^5 * Y1 * Y2^3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^2 * Y1^-1, Y2^-2 * Y1^-1 * Y2^2 * Y1^-1 * Y2^2 * Y1^-1 * Y2^-8 ]
Map::
	R = (1, 433, 2, 434, 4, 436)(3, 435, 8, 440, 10, 442)(5, 437, 12, 444, 6, 438)(7, 439, 15, 447, 11, 443)(9, 441, 18, 450, 20, 452)(13, 445, 25, 457, 23, 455)(14, 446, 24, 456, 28, 460)(16, 448, 31, 463, 29, 461)(17, 449, 33, 465, 21, 453)(19, 451, 36, 468, 38, 470)(22, 454, 30, 462, 42, 474)(26, 458, 47, 479, 45, 477)(27, 459, 49, 481, 51, 483)(32, 464, 57, 489, 55, 487)(34, 466, 61, 493, 59, 491)(35, 467, 63, 495, 39, 471)(37, 469, 66, 498, 68, 500)(40, 472, 60, 492, 72, 504)(41, 473, 73, 505, 75, 507)(43, 475, 46, 478, 78, 510)(44, 476, 79, 511, 52, 484)(48, 480, 85, 517, 83, 515)(50, 482, 88, 520, 90, 522)(53, 485, 56, 488, 94, 526)(54, 486, 95, 527, 76, 508)(58, 490, 101, 533, 99, 531)(62, 494, 107, 539, 105, 537)(64, 496, 111, 543, 109, 541)(65, 497, 113, 545, 69, 501)(67, 499, 116, 548, 118, 550)(70, 502, 110, 542, 122, 554)(71, 503, 123, 555, 125, 557)(74, 506, 128, 560, 130, 562)(77, 509, 133, 565, 135, 567)(80, 512, 139, 571, 137, 569)(81, 513, 84, 516, 142, 574)(82, 514, 143, 575, 136, 568)(86, 518, 149, 581, 147, 579)(87, 519, 151, 583, 91, 523)(89, 521, 154, 586, 156, 588)(92, 524, 138, 570, 160, 592)(93, 525, 161, 593, 163, 595)(96, 528, 167, 599, 165, 597)(97, 529, 100, 532, 170, 602)(98, 530, 171, 603, 164, 596)(102, 534, 177, 609, 175, 607)(103, 535, 106, 538, 180, 612)(104, 536, 181, 613, 126, 558)(108, 540, 187, 619, 185, 617)(112, 544, 173, 605, 176, 608)(114, 546, 194, 626, 193, 625)(115, 547, 162, 594, 119, 551)(117, 549, 198, 630, 200, 632)(120, 552, 159, 591, 203, 635)(121, 553, 204, 636, 206, 638)(124, 556, 157, 589, 153, 585)(127, 559, 205, 637, 131, 563)(129, 561, 214, 646, 216, 648)(132, 564, 166, 598, 219, 651)(134, 566, 217, 649, 213, 645)(140, 572, 183, 615, 186, 618)(141, 573, 227, 659, 229, 661)(144, 576, 174, 606, 230, 662)(145, 577, 148, 580, 168, 600)(146, 578, 233, 665, 182, 614)(150, 582, 238, 670, 236, 668)(152, 584, 241, 673, 240, 672)(155, 587, 245, 677, 247, 679)(158, 590, 218, 650, 250, 682)(169, 601, 258, 690, 260, 692)(172, 604, 184, 616, 261, 693)(178, 610, 268, 700, 266, 698)(179, 611, 270, 702, 272, 704)(188, 620, 279, 711, 277, 709)(189, 621, 191, 623, 282, 714)(190, 622, 231, 663, 207, 639)(192, 624, 284, 716, 263, 695)(195, 627, 276, 708, 278, 710)(196, 628, 289, 721, 253, 685)(197, 629, 271, 703, 201, 633)(199, 631, 293, 725, 295, 727)(202, 634, 297, 729, 299, 731)(208, 640, 298, 730, 210, 642)(209, 641, 243, 675, 306, 738)(211, 643, 273, 705, 307, 739)(212, 644, 308, 740, 301, 733)(215, 647, 312, 744, 314, 746)(220, 652, 316, 748, 222, 654)(221, 653, 310, 742, 319, 751)(223, 655, 225, 657, 322, 754)(224, 656, 262, 694, 251, 683)(226, 658, 324, 756, 274, 706)(228, 660, 248, 680, 244, 676)(232, 664, 257, 689, 332, 764)(234, 666, 323, 755, 333, 765)(235, 667, 237, 669, 242, 674)(239, 671, 338, 770, 336, 768)(246, 678, 346, 778, 347, 779)(249, 681, 294, 726, 320, 752)(252, 684, 349, 781, 254, 686)(255, 687, 256, 688, 354, 786)(259, 691, 315, 747, 311, 743)(264, 696, 355, 787, 329, 761)(265, 697, 267, 699, 309, 741)(269, 701, 365, 797, 363, 795)(275, 707, 283, 715, 339, 771)(280, 712, 373, 805, 371, 803)(281, 713, 374, 806, 375, 807)(285, 717, 348, 780, 345, 777)(286, 718, 287, 719, 378, 810)(288, 720, 379, 811, 369, 801)(290, 722, 360, 792, 376, 808)(291, 723, 334, 766, 342, 774)(292, 724, 356, 788, 296, 728)(300, 732, 352, 784, 302, 734)(303, 735, 330, 762, 359, 791)(304, 736, 386, 818, 383, 815)(305, 737, 362, 794, 364, 796)(313, 745, 391, 823, 384, 816)(317, 749, 394, 826, 393, 825)(318, 750, 370, 802, 372, 804)(321, 753, 396, 828, 397, 829)(325, 757, 392, 824, 390, 822)(326, 758, 382, 814, 328, 760)(327, 759, 344, 776, 361, 793)(331, 763, 395, 827, 389, 821)(335, 767, 337, 769, 351, 783)(340, 772, 341, 773, 401, 833)(343, 775, 368, 800, 387, 819)(350, 782, 405, 837, 404, 836)(353, 785, 406, 838, 407, 839)(357, 789, 403, 835, 358, 790)(366, 798, 409, 841, 367, 799)(377, 809, 414, 846, 415, 847)(380, 812, 398, 830, 408, 840)(381, 813, 402, 834, 399, 831)(385, 817, 388, 820, 411, 843)(400, 832, 421, 853, 422, 854)(410, 842, 426, 858, 425, 857)(412, 844, 423, 855, 413, 845)(416, 848, 417, 849, 420, 852)(418, 850, 419, 851, 424, 856)(427, 859, 430, 862, 432, 864)(428, 860, 431, 863, 429, 861)(865, 1297, 867, 1299, 873, 1305, 883, 1315, 901, 1333, 931, 1363, 981, 1413, 1063, 1495, 1158, 1590, 1114, 1546, 1083, 1515, 1171, 1603, 1223, 1655, 1126, 1558, 1035, 1467, 1125, 1557, 1203, 1635, 1103, 1535, 1014, 1446, 950, 1382, 912, 1344, 890, 1322, 877, 1309, 869, 1301)(866, 1298, 870, 1302, 878, 1310, 891, 1323, 914, 1346, 953, 1385, 1019, 1451, 1110, 1542, 1164, 1596, 1068, 1500, 986, 1418, 1071, 1503, 1167, 1599, 1137, 1569, 1045, 1477, 1097, 1529, 1197, 1629, 1133, 1565, 1042, 1474, 966, 1398, 922, 1354, 896, 1328, 880, 1312, 871, 1303)(868, 1300, 875, 1307, 886, 1318, 905, 1337, 938, 1370, 993, 1425, 1079, 1511, 1177, 1609, 1161, 1593, 1067, 1499, 1024, 1456, 1115, 1547, 1194, 1626, 1095, 1527, 1007, 1439, 1094, 1526, 1193, 1625, 1144, 1576, 1052, 1484, 972, 1404, 926, 1358, 898, 1330, 881, 1313, 872, 1304)(874, 1306, 885, 1317, 904, 1336, 935, 1367, 988, 1420, 1073, 1505, 1169, 1601, 1214, 1646, 1116, 1548, 1025, 1457, 958, 1390, 1028, 1460, 1088, 1520, 1002, 1434, 943, 1375, 1001, 1433, 1087, 1519, 1185, 1617, 1149, 1581, 1056, 1488, 976, 1408, 928, 1360, 899, 1331, 882, 1314)(876, 1308, 887, 1319, 907, 1339, 941, 1373, 998, 1430, 1085, 1517, 1182, 1614, 1168, 1600, 1072, 1504, 987, 1419, 936, 1368, 990, 1422, 1075, 1507, 1030, 1462, 959, 1391, 1029, 1461, 1119, 1551, 1217, 1649, 1189, 1621, 1090, 1522, 1004, 1436, 944, 1376, 908, 1340, 888, 1320)(879, 1311, 893, 1325, 917, 1349, 957, 1389, 1026, 1458, 1117, 1549, 1215, 1647, 1181, 1613, 1084, 1516, 997, 1429, 942, 1374, 1000, 1432, 1054, 1486, 974, 1406, 927, 1359, 973, 1405, 1053, 1485, 1145, 1577, 1220, 1652, 1121, 1553, 1032, 1464, 960, 1392, 918, 1350, 894, 1326)(884, 1316, 903, 1335, 934, 1366, 985, 1417, 1069, 1501, 1165, 1597, 1249, 1681, 1274, 1706, 1230, 1662, 1134, 1566, 1044, 1476, 1036, 1468, 962, 1394, 920, 1352, 895, 1327, 919, 1351, 961, 1393, 1033, 1465, 1123, 1555, 1152, 1584, 1059, 1491, 978, 1410, 929, 1361, 900, 1332)(889, 1321, 909, 1341, 945, 1377, 1005, 1437, 1092, 1524, 1191, 1623, 1173, 1605, 1076, 1508, 991, 1423, 937, 1369, 906, 1338, 940, 1372, 996, 1428, 1082, 1514, 1015, 1447, 1104, 1536, 1204, 1636, 1264, 1696, 1221, 1653, 1122, 1554, 1034, 1466, 1008, 1440, 946, 1378, 910, 1342)(892, 1324, 916, 1348, 956, 1388, 1023, 1455, 977, 1409, 1057, 1489, 1150, 1582, 1241, 1673, 1190, 1622, 1091, 1523, 1006, 1438, 1046, 1478, 968, 1400, 924, 1356, 897, 1329, 923, 1355, 967, 1399, 1043, 1475, 1135, 1567, 1206, 1638, 1106, 1538, 1016, 1448, 951, 1383, 913, 1345)(902, 1334, 933, 1365, 984, 1416, 1066, 1498, 1162, 1594, 1247, 1679, 1280, 1712, 1291, 1723, 1276, 1708, 1238, 1670, 1146, 1578, 1139, 1571, 1048, 1480, 970, 1402, 925, 1357, 969, 1401, 1047, 1479, 1138, 1570, 1232, 1664, 1244, 1676, 1154, 1586, 1060, 1492, 979, 1411, 930, 1362)(911, 1343, 947, 1379, 1009, 1441, 1096, 1528, 1195, 1627, 1262, 1694, 1207, 1639, 1107, 1539, 1017, 1449, 952, 1384, 915, 1347, 955, 1387, 1022, 1454, 1113, 1545, 1180, 1612, 1257, 1689, 1282, 1714, 1294, 1726, 1284, 1716, 1260, 1692, 1186, 1618, 1098, 1530, 1010, 1442, 948, 1380)(921, 1353, 963, 1395, 1037, 1469, 1127, 1559, 1224, 1656, 1272, 1704, 1253, 1685, 1174, 1606, 1077, 1509, 992, 1424, 939, 1371, 995, 1427, 1070, 1502, 1166, 1598, 1213, 1645, 1268, 1700, 1287, 1719, 1296, 1728, 1288, 1720, 1270, 1702, 1218, 1650, 1128, 1560, 1038, 1470, 964, 1396)(932, 1364, 983, 1415, 1027, 1459, 1118, 1550, 1216, 1648, 1211, 1643, 1267, 1699, 1286, 1718, 1292, 1724, 1278, 1710, 1242, 1674, 1202, 1634, 1147, 1579, 1055, 1487, 975, 1407, 1040, 1472, 965, 1397, 1039, 1471, 1129, 1561, 1225, 1657, 1245, 1677, 1155, 1587, 1061, 1493, 980, 1412)(949, 1381, 1011, 1443, 1099, 1531, 1198, 1630, 1263, 1695, 1243, 1675, 1175, 1607, 1078, 1510, 994, 1426, 1081, 1513, 999, 1431, 1086, 1518, 1184, 1616, 1159, 1591, 1246, 1678, 1279, 1711, 1293, 1725, 1290, 1722, 1275, 1707, 1237, 1669, 1219, 1651, 1120, 1552, 1031, 1463, 1012, 1444)(954, 1386, 1021, 1453, 989, 1421, 1074, 1506, 1163, 1595, 1248, 1680, 1273, 1705, 1289, 1721, 1295, 1727, 1285, 1717, 1265, 1697, 1229, 1661, 1187, 1619, 1089, 1521, 1003, 1435, 1050, 1482, 971, 1403, 1049, 1481, 1140, 1572, 1233, 1665, 1266, 1698, 1208, 1640, 1108, 1540, 1018, 1450)(982, 1414, 1065, 1497, 1136, 1568, 1231, 1663, 1255, 1687, 1178, 1610, 1256, 1688, 1271, 1703, 1283, 1715, 1258, 1690, 1201, 1633, 1102, 1534, 1200, 1632, 1151, 1583, 1058, 1490, 1142, 1574, 1051, 1483, 1141, 1573, 1234, 1666, 1183, 1615, 1259, 1691, 1196, 1628, 1156, 1588, 1062, 1494)(1013, 1445, 1100, 1532, 1199, 1631, 1153, 1585, 1240, 1672, 1148, 1580, 1209, 1641, 1109, 1541, 1020, 1452, 1112, 1544, 1093, 1525, 1192, 1624, 1157, 1589, 1064, 1496, 1160, 1592, 1239, 1671, 1277, 1709, 1269, 1701, 1228, 1660, 1132, 1564, 1227, 1659, 1205, 1637, 1105, 1537, 1101, 1533)(1041, 1473, 1130, 1562, 1226, 1658, 1170, 1602, 1251, 1683, 1188, 1620, 1254, 1686, 1176, 1608, 1080, 1512, 1179, 1611, 1124, 1556, 1222, 1654, 1210, 1642, 1111, 1543, 1212, 1644, 1261, 1693, 1281, 1713, 1250, 1682, 1236, 1668, 1143, 1575, 1235, 1667, 1252, 1684, 1172, 1604, 1131, 1563)
	L = (1, 867)(2, 870)(3, 873)(4, 875)(5, 865)(6, 878)(7, 866)(8, 868)(9, 883)(10, 885)(11, 886)(12, 887)(13, 869)(14, 891)(15, 893)(16, 871)(17, 872)(18, 874)(19, 901)(20, 903)(21, 904)(22, 905)(23, 907)(24, 876)(25, 909)(26, 877)(27, 914)(28, 916)(29, 917)(30, 879)(31, 919)(32, 880)(33, 923)(34, 881)(35, 882)(36, 884)(37, 931)(38, 933)(39, 934)(40, 935)(41, 938)(42, 940)(43, 941)(44, 888)(45, 945)(46, 889)(47, 947)(48, 890)(49, 892)(50, 953)(51, 955)(52, 956)(53, 957)(54, 894)(55, 961)(56, 895)(57, 963)(58, 896)(59, 967)(60, 897)(61, 969)(62, 898)(63, 973)(64, 899)(65, 900)(66, 902)(67, 981)(68, 983)(69, 984)(70, 985)(71, 988)(72, 990)(73, 906)(74, 993)(75, 995)(76, 996)(77, 998)(78, 1000)(79, 1001)(80, 908)(81, 1005)(82, 910)(83, 1009)(84, 911)(85, 1011)(86, 912)(87, 913)(88, 915)(89, 1019)(90, 1021)(91, 1022)(92, 1023)(93, 1026)(94, 1028)(95, 1029)(96, 918)(97, 1033)(98, 920)(99, 1037)(100, 921)(101, 1039)(102, 922)(103, 1043)(104, 924)(105, 1047)(106, 925)(107, 1049)(108, 926)(109, 1053)(110, 927)(111, 1040)(112, 928)(113, 1057)(114, 929)(115, 930)(116, 932)(117, 1063)(118, 1065)(119, 1027)(120, 1066)(121, 1069)(122, 1071)(123, 936)(124, 1073)(125, 1074)(126, 1075)(127, 937)(128, 939)(129, 1079)(130, 1081)(131, 1070)(132, 1082)(133, 942)(134, 1085)(135, 1086)(136, 1054)(137, 1087)(138, 943)(139, 1050)(140, 944)(141, 1092)(142, 1046)(143, 1094)(144, 946)(145, 1096)(146, 948)(147, 1099)(148, 949)(149, 1100)(150, 950)(151, 1104)(152, 951)(153, 952)(154, 954)(155, 1110)(156, 1112)(157, 989)(158, 1113)(159, 977)(160, 1115)(161, 958)(162, 1117)(163, 1118)(164, 1088)(165, 1119)(166, 959)(167, 1012)(168, 960)(169, 1123)(170, 1008)(171, 1125)(172, 962)(173, 1127)(174, 964)(175, 1129)(176, 965)(177, 1130)(178, 966)(179, 1135)(180, 1036)(181, 1097)(182, 968)(183, 1138)(184, 970)(185, 1140)(186, 971)(187, 1141)(188, 972)(189, 1145)(190, 974)(191, 975)(192, 976)(193, 1150)(194, 1142)(195, 978)(196, 979)(197, 980)(198, 982)(199, 1158)(200, 1160)(201, 1136)(202, 1162)(203, 1024)(204, 986)(205, 1165)(206, 1166)(207, 1167)(208, 987)(209, 1169)(210, 1163)(211, 1030)(212, 991)(213, 992)(214, 994)(215, 1177)(216, 1179)(217, 999)(218, 1015)(219, 1171)(220, 997)(221, 1182)(222, 1184)(223, 1185)(224, 1002)(225, 1003)(226, 1004)(227, 1006)(228, 1191)(229, 1192)(230, 1193)(231, 1007)(232, 1195)(233, 1197)(234, 1010)(235, 1198)(236, 1199)(237, 1013)(238, 1200)(239, 1014)(240, 1204)(241, 1101)(242, 1016)(243, 1017)(244, 1018)(245, 1020)(246, 1164)(247, 1212)(248, 1093)(249, 1180)(250, 1083)(251, 1194)(252, 1025)(253, 1215)(254, 1216)(255, 1217)(256, 1031)(257, 1032)(258, 1034)(259, 1152)(260, 1222)(261, 1203)(262, 1035)(263, 1224)(264, 1038)(265, 1225)(266, 1226)(267, 1041)(268, 1227)(269, 1042)(270, 1044)(271, 1206)(272, 1231)(273, 1045)(274, 1232)(275, 1048)(276, 1233)(277, 1234)(278, 1051)(279, 1235)(280, 1052)(281, 1220)(282, 1139)(283, 1055)(284, 1209)(285, 1056)(286, 1241)(287, 1058)(288, 1059)(289, 1240)(290, 1060)(291, 1061)(292, 1062)(293, 1064)(294, 1114)(295, 1246)(296, 1239)(297, 1067)(298, 1247)(299, 1248)(300, 1068)(301, 1249)(302, 1213)(303, 1137)(304, 1072)(305, 1214)(306, 1251)(307, 1223)(308, 1131)(309, 1076)(310, 1077)(311, 1078)(312, 1080)(313, 1161)(314, 1256)(315, 1124)(316, 1257)(317, 1084)(318, 1168)(319, 1259)(320, 1159)(321, 1149)(322, 1098)(323, 1089)(324, 1254)(325, 1090)(326, 1091)(327, 1173)(328, 1157)(329, 1144)(330, 1095)(331, 1262)(332, 1156)(333, 1133)(334, 1263)(335, 1153)(336, 1151)(337, 1102)(338, 1147)(339, 1103)(340, 1264)(341, 1105)(342, 1106)(343, 1107)(344, 1108)(345, 1109)(346, 1111)(347, 1267)(348, 1261)(349, 1268)(350, 1116)(351, 1181)(352, 1211)(353, 1189)(354, 1128)(355, 1120)(356, 1121)(357, 1122)(358, 1210)(359, 1126)(360, 1272)(361, 1245)(362, 1170)(363, 1205)(364, 1132)(365, 1187)(366, 1134)(367, 1255)(368, 1244)(369, 1266)(370, 1183)(371, 1252)(372, 1143)(373, 1219)(374, 1146)(375, 1277)(376, 1148)(377, 1190)(378, 1202)(379, 1175)(380, 1154)(381, 1155)(382, 1279)(383, 1280)(384, 1273)(385, 1274)(386, 1236)(387, 1188)(388, 1172)(389, 1174)(390, 1176)(391, 1178)(392, 1271)(393, 1282)(394, 1201)(395, 1196)(396, 1186)(397, 1281)(398, 1207)(399, 1243)(400, 1221)(401, 1229)(402, 1208)(403, 1286)(404, 1287)(405, 1228)(406, 1218)(407, 1283)(408, 1253)(409, 1289)(410, 1230)(411, 1237)(412, 1238)(413, 1269)(414, 1242)(415, 1293)(416, 1291)(417, 1250)(418, 1294)(419, 1258)(420, 1260)(421, 1265)(422, 1292)(423, 1296)(424, 1270)(425, 1295)(426, 1275)(427, 1276)(428, 1278)(429, 1290)(430, 1284)(431, 1285)(432, 1288)(433, 1297)(434, 1298)(435, 1299)(436, 1300)(437, 1301)(438, 1302)(439, 1303)(440, 1304)(441, 1305)(442, 1306)(443, 1307)(444, 1308)(445, 1309)(446, 1310)(447, 1311)(448, 1312)(449, 1313)(450, 1314)(451, 1315)(452, 1316)(453, 1317)(454, 1318)(455, 1319)(456, 1320)(457, 1321)(458, 1322)(459, 1323)(460, 1324)(461, 1325)(462, 1326)(463, 1327)(464, 1328)(465, 1329)(466, 1330)(467, 1331)(468, 1332)(469, 1333)(470, 1334)(471, 1335)(472, 1336)(473, 1337)(474, 1338)(475, 1339)(476, 1340)(477, 1341)(478, 1342)(479, 1343)(480, 1344)(481, 1345)(482, 1346)(483, 1347)(484, 1348)(485, 1349)(486, 1350)(487, 1351)(488, 1352)(489, 1353)(490, 1354)(491, 1355)(492, 1356)(493, 1357)(494, 1358)(495, 1359)(496, 1360)(497, 1361)(498, 1362)(499, 1363)(500, 1364)(501, 1365)(502, 1366)(503, 1367)(504, 1368)(505, 1369)(506, 1370)(507, 1371)(508, 1372)(509, 1373)(510, 1374)(511, 1375)(512, 1376)(513, 1377)(514, 1378)(515, 1379)(516, 1380)(517, 1381)(518, 1382)(519, 1383)(520, 1384)(521, 1385)(522, 1386)(523, 1387)(524, 1388)(525, 1389)(526, 1390)(527, 1391)(528, 1392)(529, 1393)(530, 1394)(531, 1395)(532, 1396)(533, 1397)(534, 1398)(535, 1399)(536, 1400)(537, 1401)(538, 1402)(539, 1403)(540, 1404)(541, 1405)(542, 1406)(543, 1407)(544, 1408)(545, 1409)(546, 1410)(547, 1411)(548, 1412)(549, 1413)(550, 1414)(551, 1415)(552, 1416)(553, 1417)(554, 1418)(555, 1419)(556, 1420)(557, 1421)(558, 1422)(559, 1423)(560, 1424)(561, 1425)(562, 1426)(563, 1427)(564, 1428)(565, 1429)(566, 1430)(567, 1431)(568, 1432)(569, 1433)(570, 1434)(571, 1435)(572, 1436)(573, 1437)(574, 1438)(575, 1439)(576, 1440)(577, 1441)(578, 1442)(579, 1443)(580, 1444)(581, 1445)(582, 1446)(583, 1447)(584, 1448)(585, 1449)(586, 1450)(587, 1451)(588, 1452)(589, 1453)(590, 1454)(591, 1455)(592, 1456)(593, 1457)(594, 1458)(595, 1459)(596, 1460)(597, 1461)(598, 1462)(599, 1463)(600, 1464)(601, 1465)(602, 1466)(603, 1467)(604, 1468)(605, 1469)(606, 1470)(607, 1471)(608, 1472)(609, 1473)(610, 1474)(611, 1475)(612, 1476)(613, 1477)(614, 1478)(615, 1479)(616, 1480)(617, 1481)(618, 1482)(619, 1483)(620, 1484)(621, 1485)(622, 1486)(623, 1487)(624, 1488)(625, 1489)(626, 1490)(627, 1491)(628, 1492)(629, 1493)(630, 1494)(631, 1495)(632, 1496)(633, 1497)(634, 1498)(635, 1499)(636, 1500)(637, 1501)(638, 1502)(639, 1503)(640, 1504)(641, 1505)(642, 1506)(643, 1507)(644, 1508)(645, 1509)(646, 1510)(647, 1511)(648, 1512)(649, 1513)(650, 1514)(651, 1515)(652, 1516)(653, 1517)(654, 1518)(655, 1519)(656, 1520)(657, 1521)(658, 1522)(659, 1523)(660, 1524)(661, 1525)(662, 1526)(663, 1527)(664, 1528)(665, 1529)(666, 1530)(667, 1531)(668, 1532)(669, 1533)(670, 1534)(671, 1535)(672, 1536)(673, 1537)(674, 1538)(675, 1539)(676, 1540)(677, 1541)(678, 1542)(679, 1543)(680, 1544)(681, 1545)(682, 1546)(683, 1547)(684, 1548)(685, 1549)(686, 1550)(687, 1551)(688, 1552)(689, 1553)(690, 1554)(691, 1555)(692, 1556)(693, 1557)(694, 1558)(695, 1559)(696, 1560)(697, 1561)(698, 1562)(699, 1563)(700, 1564)(701, 1565)(702, 1566)(703, 1567)(704, 1568)(705, 1569)(706, 1570)(707, 1571)(708, 1572)(709, 1573)(710, 1574)(711, 1575)(712, 1576)(713, 1577)(714, 1578)(715, 1579)(716, 1580)(717, 1581)(718, 1582)(719, 1583)(720, 1584)(721, 1585)(722, 1586)(723, 1587)(724, 1588)(725, 1589)(726, 1590)(727, 1591)(728, 1592)(729, 1593)(730, 1594)(731, 1595)(732, 1596)(733, 1597)(734, 1598)(735, 1599)(736, 1600)(737, 1601)(738, 1602)(739, 1603)(740, 1604)(741, 1605)(742, 1606)(743, 1607)(744, 1608)(745, 1609)(746, 1610)(747, 1611)(748, 1612)(749, 1613)(750, 1614)(751, 1615)(752, 1616)(753, 1617)(754, 1618)(755, 1619)(756, 1620)(757, 1621)(758, 1622)(759, 1623)(760, 1624)(761, 1625)(762, 1626)(763, 1627)(764, 1628)(765, 1629)(766, 1630)(767, 1631)(768, 1632)(769, 1633)(770, 1634)(771, 1635)(772, 1636)(773, 1637)(774, 1638)(775, 1639)(776, 1640)(777, 1641)(778, 1642)(779, 1643)(780, 1644)(781, 1645)(782, 1646)(783, 1647)(784, 1648)(785, 1649)(786, 1650)(787, 1651)(788, 1652)(789, 1653)(790, 1654)(791, 1655)(792, 1656)(793, 1657)(794, 1658)(795, 1659)(796, 1660)(797, 1661)(798, 1662)(799, 1663)(800, 1664)(801, 1665)(802, 1666)(803, 1667)(804, 1668)(805, 1669)(806, 1670)(807, 1671)(808, 1672)(809, 1673)(810, 1674)(811, 1675)(812, 1676)(813, 1677)(814, 1678)(815, 1679)(816, 1680)(817, 1681)(818, 1682)(819, 1683)(820, 1684)(821, 1685)(822, 1686)(823, 1687)(824, 1688)(825, 1689)(826, 1690)(827, 1691)(828, 1692)(829, 1693)(830, 1694)(831, 1695)(832, 1696)(833, 1697)(834, 1698)(835, 1699)(836, 1700)(837, 1701)(838, 1702)(839, 1703)(840, 1704)(841, 1705)(842, 1706)(843, 1707)(844, 1708)(845, 1709)(846, 1710)(847, 1711)(848, 1712)(849, 1713)(850, 1714)(851, 1715)(852, 1716)(853, 1717)(854, 1718)(855, 1719)(856, 1720)(857, 1721)(858, 1722)(859, 1723)(860, 1724)(861, 1725)(862, 1726)(863, 1727)(864, 1728)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.3275
Graph:: bipartite
	v = 162 e = 864 f = 648
	degree seq :: [ 6^144, 48^18 ]

E28.3275 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 24})
Quotient :: dipole
Aut^+ = $<432, 248>$ (small group id <432, 248>)
Aut   = $<864, 2225>$ (small group id <864, 2225>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^3, Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^3 * Y2 * Y3^-2 * Y2 * Y3^-3, Y3^-2 * Y2 * Y3^-3 * Y2 * Y3^9 * Y2 * Y3^-1, (Y3^5 * Y2 * Y3^-2 * Y2)^2, (Y3^-1 * Y1^-1)^24 ]
Map:: polytopal
	R = (1, 433)(2, 434)(3, 435)(4, 436)(5, 437)(6, 438)(7, 439)(8, 440)(9, 441)(10, 442)(11, 443)(12, 444)(13, 445)(14, 446)(15, 447)(16, 448)(17, 449)(18, 450)(19, 451)(20, 452)(21, 453)(22, 454)(23, 455)(24, 456)(25, 457)(26, 458)(27, 459)(28, 460)(29, 461)(30, 462)(31, 463)(32, 464)(33, 465)(34, 466)(35, 467)(36, 468)(37, 469)(38, 470)(39, 471)(40, 472)(41, 473)(42, 474)(43, 475)(44, 476)(45, 477)(46, 478)(47, 479)(48, 480)(49, 481)(50, 482)(51, 483)(52, 484)(53, 485)(54, 486)(55, 487)(56, 488)(57, 489)(58, 490)(59, 491)(60, 492)(61, 493)(62, 494)(63, 495)(64, 496)(65, 497)(66, 498)(67, 499)(68, 500)(69, 501)(70, 502)(71, 503)(72, 504)(73, 505)(74, 506)(75, 507)(76, 508)(77, 509)(78, 510)(79, 511)(80, 512)(81, 513)(82, 514)(83, 515)(84, 516)(85, 517)(86, 518)(87, 519)(88, 520)(89, 521)(90, 522)(91, 523)(92, 524)(93, 525)(94, 526)(95, 527)(96, 528)(97, 529)(98, 530)(99, 531)(100, 532)(101, 533)(102, 534)(103, 535)(104, 536)(105, 537)(106, 538)(107, 539)(108, 540)(109, 541)(110, 542)(111, 543)(112, 544)(113, 545)(114, 546)(115, 547)(116, 548)(117, 549)(118, 550)(119, 551)(120, 552)(121, 553)(122, 554)(123, 555)(124, 556)(125, 557)(126, 558)(127, 559)(128, 560)(129, 561)(130, 562)(131, 563)(132, 564)(133, 565)(134, 566)(135, 567)(136, 568)(137, 569)(138, 570)(139, 571)(140, 572)(141, 573)(142, 574)(143, 575)(144, 576)(145, 577)(146, 578)(147, 579)(148, 580)(149, 581)(150, 582)(151, 583)(152, 584)(153, 585)(154, 586)(155, 587)(156, 588)(157, 589)(158, 590)(159, 591)(160, 592)(161, 593)(162, 594)(163, 595)(164, 596)(165, 597)(166, 598)(167, 599)(168, 600)(169, 601)(170, 602)(171, 603)(172, 604)(173, 605)(174, 606)(175, 607)(176, 608)(177, 609)(178, 610)(179, 611)(180, 612)(181, 613)(182, 614)(183, 615)(184, 616)(185, 617)(186, 618)(187, 619)(188, 620)(189, 621)(190, 622)(191, 623)(192, 624)(193, 625)(194, 626)(195, 627)(196, 628)(197, 629)(198, 630)(199, 631)(200, 632)(201, 633)(202, 634)(203, 635)(204, 636)(205, 637)(206, 638)(207, 639)(208, 640)(209, 641)(210, 642)(211, 643)(212, 644)(213, 645)(214, 646)(215, 647)(216, 648)(217, 649)(218, 650)(219, 651)(220, 652)(221, 653)(222, 654)(223, 655)(224, 656)(225, 657)(226, 658)(227, 659)(228, 660)(229, 661)(230, 662)(231, 663)(232, 664)(233, 665)(234, 666)(235, 667)(236, 668)(237, 669)(238, 670)(239, 671)(240, 672)(241, 673)(242, 674)(243, 675)(244, 676)(245, 677)(246, 678)(247, 679)(248, 680)(249, 681)(250, 682)(251, 683)(252, 684)(253, 685)(254, 686)(255, 687)(256, 688)(257, 689)(258, 690)(259, 691)(260, 692)(261, 693)(262, 694)(263, 695)(264, 696)(265, 697)(266, 698)(267, 699)(268, 700)(269, 701)(270, 702)(271, 703)(272, 704)(273, 705)(274, 706)(275, 707)(276, 708)(277, 709)(278, 710)(279, 711)(280, 712)(281, 713)(282, 714)(283, 715)(284, 716)(285, 717)(286, 718)(287, 719)(288, 720)(289, 721)(290, 722)(291, 723)(292, 724)(293, 725)(294, 726)(295, 727)(296, 728)(297, 729)(298, 730)(299, 731)(300, 732)(301, 733)(302, 734)(303, 735)(304, 736)(305, 737)(306, 738)(307, 739)(308, 740)(309, 741)(310, 742)(311, 743)(312, 744)(313, 745)(314, 746)(315, 747)(316, 748)(317, 749)(318, 750)(319, 751)(320, 752)(321, 753)(322, 754)(323, 755)(324, 756)(325, 757)(326, 758)(327, 759)(328, 760)(329, 761)(330, 762)(331, 763)(332, 764)(333, 765)(334, 766)(335, 767)(336, 768)(337, 769)(338, 770)(339, 771)(340, 772)(341, 773)(342, 774)(343, 775)(344, 776)(345, 777)(346, 778)(347, 779)(348, 780)(349, 781)(350, 782)(351, 783)(352, 784)(353, 785)(354, 786)(355, 787)(356, 788)(357, 789)(358, 790)(359, 791)(360, 792)(361, 793)(362, 794)(363, 795)(364, 796)(365, 797)(366, 798)(367, 799)(368, 800)(369, 801)(370, 802)(371, 803)(372, 804)(373, 805)(374, 806)(375, 807)(376, 808)(377, 809)(378, 810)(379, 811)(380, 812)(381, 813)(382, 814)(383, 815)(384, 816)(385, 817)(386, 818)(387, 819)(388, 820)(389, 821)(390, 822)(391, 823)(392, 824)(393, 825)(394, 826)(395, 827)(396, 828)(397, 829)(398, 830)(399, 831)(400, 832)(401, 833)(402, 834)(403, 835)(404, 836)(405, 837)(406, 838)(407, 839)(408, 840)(409, 841)(410, 842)(411, 843)(412, 844)(413, 845)(414, 846)(415, 847)(416, 848)(417, 849)(418, 850)(419, 851)(420, 852)(421, 853)(422, 854)(423, 855)(424, 856)(425, 857)(426, 858)(427, 859)(428, 860)(429, 861)(430, 862)(431, 863)(432, 864)(865, 1297, 866, 1298)(867, 1299, 871, 1303)(868, 1300, 873, 1305)(869, 1301, 875, 1307)(870, 1302, 877, 1309)(872, 1304, 880, 1312)(874, 1306, 883, 1315)(876, 1308, 886, 1318)(878, 1310, 889, 1321)(879, 1311, 891, 1323)(881, 1313, 894, 1326)(882, 1314, 896, 1328)(884, 1316, 899, 1331)(885, 1317, 901, 1333)(887, 1319, 904, 1336)(888, 1320, 906, 1338)(890, 1322, 909, 1341)(892, 1324, 912, 1344)(893, 1325, 914, 1346)(895, 1327, 917, 1349)(897, 1329, 920, 1352)(898, 1330, 922, 1354)(900, 1332, 925, 1357)(902, 1334, 928, 1360)(903, 1335, 930, 1362)(905, 1337, 933, 1365)(907, 1339, 936, 1368)(908, 1340, 938, 1370)(910, 1342, 941, 1373)(911, 1343, 943, 1375)(913, 1345, 946, 1378)(915, 1347, 949, 1381)(916, 1348, 951, 1383)(918, 1350, 954, 1386)(919, 1351, 956, 1388)(921, 1353, 959, 1391)(923, 1355, 962, 1394)(924, 1356, 964, 1396)(926, 1358, 967, 1399)(927, 1359, 969, 1401)(929, 1361, 972, 1404)(931, 1363, 975, 1407)(932, 1364, 977, 1409)(934, 1366, 980, 1412)(935, 1367, 982, 1414)(937, 1369, 985, 1417)(939, 1371, 988, 1420)(940, 1372, 990, 1422)(942, 1374, 993, 1425)(944, 1376, 996, 1428)(945, 1377, 998, 1430)(947, 1379, 1001, 1433)(948, 1380, 1003, 1435)(950, 1382, 1006, 1438)(952, 1384, 1009, 1441)(953, 1385, 1011, 1443)(955, 1387, 1014, 1446)(957, 1389, 1017, 1449)(958, 1390, 1019, 1451)(960, 1392, 1022, 1454)(961, 1393, 1024, 1456)(963, 1395, 1027, 1459)(965, 1397, 1030, 1462)(966, 1398, 1032, 1464)(968, 1400, 1035, 1467)(970, 1402, 1038, 1470)(971, 1403, 1040, 1472)(973, 1405, 1043, 1475)(974, 1406, 1045, 1477)(976, 1408, 1048, 1480)(978, 1410, 1051, 1483)(979, 1411, 1053, 1485)(981, 1413, 1056, 1488)(983, 1415, 1059, 1491)(984, 1416, 1061, 1493)(986, 1418, 1064, 1496)(987, 1419, 1066, 1498)(989, 1421, 1069, 1501)(991, 1423, 1072, 1504)(992, 1424, 1074, 1506)(994, 1426, 1077, 1509)(995, 1427, 1079, 1511)(997, 1429, 1050, 1482)(999, 1431, 1083, 1515)(1000, 1432, 1042, 1474)(1002, 1434, 1086, 1518)(1004, 1436, 1089, 1521)(1005, 1437, 1091, 1523)(1007, 1439, 1075, 1507)(1008, 1440, 1039, 1471)(1010, 1442, 1096, 1528)(1012, 1444, 1070, 1502)(1013, 1445, 1099, 1531)(1015, 1447, 1102, 1534)(1016, 1448, 1104, 1536)(1018, 1450, 1071, 1503)(1020, 1452, 1107, 1539)(1021, 1453, 1063, 1495)(1023, 1455, 1110, 1542)(1025, 1457, 1112, 1544)(1026, 1458, 1114, 1546)(1028, 1460, 1054, 1486)(1029, 1461, 1060, 1492)(1031, 1463, 1119, 1551)(1033, 1465, 1049, 1481)(1034, 1466, 1122, 1554)(1036, 1468, 1125, 1557)(1037, 1469, 1127, 1559)(1041, 1473, 1131, 1563)(1044, 1476, 1134, 1566)(1046, 1478, 1137, 1569)(1047, 1479, 1139, 1571)(1052, 1484, 1144, 1576)(1055, 1487, 1147, 1579)(1057, 1489, 1150, 1582)(1058, 1490, 1152, 1584)(1062, 1494, 1155, 1587)(1065, 1497, 1158, 1590)(1067, 1499, 1160, 1592)(1068, 1500, 1162, 1594)(1073, 1505, 1167, 1599)(1076, 1508, 1170, 1602)(1078, 1510, 1173, 1605)(1080, 1512, 1176, 1608)(1081, 1513, 1142, 1574)(1082, 1514, 1161, 1593)(1084, 1516, 1180, 1612)(1085, 1517, 1181, 1613)(1087, 1519, 1184, 1616)(1088, 1520, 1186, 1618)(1090, 1522, 1154, 1586)(1092, 1524, 1188, 1620)(1093, 1525, 1148, 1580)(1094, 1526, 1129, 1561)(1095, 1527, 1191, 1623)(1097, 1529, 1182, 1614)(1098, 1530, 1193, 1625)(1100, 1532, 1141, 1573)(1101, 1533, 1196, 1628)(1103, 1535, 1199, 1631)(1105, 1537, 1165, 1597)(1106, 1538, 1138, 1570)(1108, 1540, 1202, 1634)(1109, 1541, 1203, 1635)(1111, 1543, 1205, 1637)(1113, 1545, 1130, 1562)(1115, 1547, 1206, 1638)(1116, 1548, 1171, 1603)(1117, 1549, 1153, 1585)(1118, 1550, 1197, 1629)(1120, 1552, 1204, 1636)(1121, 1553, 1195, 1627)(1123, 1555, 1164, 1596)(1124, 1556, 1209, 1641)(1126, 1558, 1178, 1610)(1128, 1560, 1211, 1643)(1132, 1564, 1215, 1647)(1133, 1565, 1216, 1648)(1135, 1567, 1219, 1651)(1136, 1568, 1221, 1653)(1140, 1572, 1223, 1655)(1143, 1575, 1226, 1658)(1145, 1577, 1217, 1649)(1146, 1578, 1228, 1660)(1149, 1581, 1231, 1663)(1151, 1583, 1234, 1666)(1156, 1588, 1237, 1669)(1157, 1589, 1238, 1670)(1159, 1591, 1240, 1672)(1163, 1595, 1241, 1673)(1166, 1598, 1232, 1664)(1168, 1600, 1239, 1671)(1169, 1601, 1230, 1662)(1172, 1604, 1244, 1676)(1174, 1606, 1213, 1645)(1175, 1607, 1245, 1677)(1177, 1609, 1246, 1678)(1179, 1611, 1248, 1680)(1183, 1615, 1250, 1682)(1185, 1617, 1252, 1684)(1187, 1619, 1247, 1679)(1189, 1621, 1255, 1687)(1190, 1622, 1225, 1657)(1192, 1624, 1256, 1688)(1194, 1626, 1243, 1675)(1198, 1630, 1257, 1689)(1200, 1632, 1253, 1685)(1201, 1633, 1258, 1690)(1207, 1639, 1242, 1674)(1208, 1640, 1229, 1661)(1210, 1642, 1262, 1694)(1212, 1644, 1263, 1695)(1214, 1646, 1265, 1697)(1218, 1650, 1267, 1699)(1220, 1652, 1269, 1701)(1222, 1654, 1264, 1696)(1224, 1656, 1272, 1704)(1227, 1659, 1273, 1705)(1233, 1665, 1274, 1706)(1235, 1667, 1270, 1702)(1236, 1668, 1275, 1707)(1249, 1681, 1281, 1713)(1251, 1683, 1282, 1714)(1254, 1686, 1283, 1715)(1259, 1691, 1286, 1718)(1260, 1692, 1280, 1712)(1261, 1693, 1285, 1717)(1266, 1698, 1290, 1722)(1268, 1700, 1291, 1723)(1271, 1703, 1292, 1724)(1276, 1708, 1295, 1727)(1277, 1709, 1289, 1721)(1278, 1710, 1294, 1726)(1279, 1711, 1288, 1720)(1284, 1716, 1296, 1728)(1287, 1719, 1293, 1725)
	L = (1, 867)(2, 869)(3, 872)(4, 865)(5, 876)(6, 866)(7, 877)(8, 881)(9, 882)(10, 868)(11, 873)(12, 887)(13, 888)(14, 870)(15, 871)(16, 891)(17, 895)(18, 897)(19, 898)(20, 874)(21, 875)(22, 901)(23, 905)(24, 907)(25, 908)(26, 878)(27, 911)(28, 879)(29, 880)(30, 914)(31, 918)(32, 883)(33, 921)(34, 923)(35, 924)(36, 884)(37, 927)(38, 885)(39, 886)(40, 930)(41, 934)(42, 889)(43, 937)(44, 939)(45, 940)(46, 890)(47, 944)(48, 945)(49, 892)(50, 948)(51, 893)(52, 894)(53, 951)(54, 955)(55, 896)(56, 956)(57, 960)(58, 899)(59, 963)(60, 965)(61, 966)(62, 900)(63, 970)(64, 971)(65, 902)(66, 974)(67, 903)(68, 904)(69, 977)(70, 981)(71, 906)(72, 982)(73, 986)(74, 909)(75, 989)(76, 991)(77, 992)(78, 910)(79, 912)(80, 997)(81, 999)(82, 1000)(83, 913)(84, 1004)(85, 1005)(86, 915)(87, 1008)(88, 916)(89, 917)(90, 1011)(91, 1015)(92, 1016)(93, 919)(94, 920)(95, 1019)(96, 1023)(97, 922)(98, 1024)(99, 1028)(100, 925)(101, 1031)(102, 1033)(103, 1034)(104, 926)(105, 928)(106, 1039)(107, 1041)(108, 1042)(109, 929)(110, 1046)(111, 1047)(112, 931)(113, 1050)(114, 932)(115, 933)(116, 1053)(117, 1057)(118, 1058)(119, 935)(120, 936)(121, 1061)(122, 1065)(123, 938)(124, 1066)(125, 1070)(126, 941)(127, 1073)(128, 1075)(129, 1076)(130, 942)(131, 943)(132, 1079)(133, 1051)(134, 946)(135, 1084)(136, 1043)(137, 1085)(138, 947)(139, 949)(140, 1090)(141, 1092)(142, 1074)(143, 950)(144, 1094)(145, 1095)(146, 952)(147, 1069)(148, 953)(149, 954)(150, 1099)(151, 1103)(152, 1088)(153, 1105)(154, 957)(155, 1106)(156, 958)(157, 959)(158, 1063)(159, 1111)(160, 1080)(161, 961)(162, 962)(163, 1114)(164, 1116)(165, 964)(166, 1060)(167, 1120)(168, 967)(169, 1121)(170, 1123)(171, 1124)(172, 968)(173, 969)(174, 1127)(175, 1009)(176, 972)(177, 1132)(178, 1001)(179, 1133)(180, 973)(181, 975)(182, 1138)(183, 1140)(184, 1032)(185, 976)(186, 1142)(187, 1143)(188, 978)(189, 1027)(190, 979)(191, 980)(192, 1147)(193, 1151)(194, 1136)(195, 1153)(196, 983)(197, 1154)(198, 984)(199, 985)(200, 1021)(201, 1159)(202, 1128)(203, 987)(204, 988)(205, 1162)(206, 1164)(207, 990)(208, 1018)(209, 1168)(210, 993)(211, 1169)(212, 1171)(213, 1172)(214, 994)(215, 1175)(216, 995)(217, 996)(218, 998)(219, 1161)(220, 1141)(221, 1182)(222, 1183)(223, 1002)(224, 1003)(225, 1186)(226, 1155)(227, 1006)(228, 1189)(229, 1007)(230, 1190)(231, 1192)(232, 1181)(233, 1010)(234, 1012)(235, 1180)(236, 1013)(237, 1014)(238, 1196)(239, 1137)(240, 1017)(241, 1185)(242, 1199)(243, 1201)(244, 1020)(245, 1022)(246, 1203)(247, 1177)(248, 1174)(249, 1025)(250, 1198)(251, 1026)(252, 1156)(253, 1029)(254, 1030)(255, 1197)(256, 1145)(257, 1208)(258, 1035)(259, 1193)(260, 1191)(261, 1187)(262, 1036)(263, 1210)(264, 1037)(265, 1038)(266, 1040)(267, 1113)(268, 1093)(269, 1217)(270, 1218)(271, 1044)(272, 1045)(273, 1221)(274, 1107)(275, 1048)(276, 1224)(277, 1049)(278, 1225)(279, 1227)(280, 1216)(281, 1052)(282, 1054)(283, 1215)(284, 1055)(285, 1056)(286, 1231)(287, 1089)(288, 1059)(289, 1220)(290, 1234)(291, 1236)(292, 1062)(293, 1064)(294, 1238)(295, 1212)(296, 1126)(297, 1067)(298, 1233)(299, 1068)(300, 1108)(301, 1071)(302, 1072)(303, 1232)(304, 1097)(305, 1243)(306, 1077)(307, 1228)(308, 1226)(309, 1222)(310, 1078)(311, 1235)(312, 1112)(313, 1081)(314, 1082)(315, 1083)(316, 1248)(317, 1086)(318, 1229)(319, 1110)(320, 1251)(321, 1087)(322, 1253)(323, 1091)(324, 1247)(325, 1118)(326, 1246)(327, 1096)(328, 1115)(329, 1230)(330, 1098)(331, 1100)(332, 1255)(333, 1101)(334, 1102)(335, 1257)(336, 1104)(337, 1259)(338, 1122)(339, 1119)(340, 1109)(341, 1250)(342, 1261)(343, 1117)(344, 1239)(345, 1125)(346, 1200)(347, 1160)(348, 1129)(349, 1130)(350, 1131)(351, 1265)(352, 1134)(353, 1194)(354, 1158)(355, 1268)(356, 1135)(357, 1270)(358, 1139)(359, 1264)(360, 1166)(361, 1263)(362, 1144)(363, 1163)(364, 1195)(365, 1146)(366, 1148)(367, 1272)(368, 1149)(369, 1150)(370, 1274)(371, 1152)(372, 1276)(373, 1170)(374, 1167)(375, 1157)(376, 1267)(377, 1278)(378, 1165)(379, 1204)(380, 1173)(381, 1176)(382, 1280)(383, 1178)(384, 1277)(385, 1179)(386, 1184)(387, 1275)(388, 1207)(389, 1279)(390, 1188)(391, 1283)(392, 1209)(393, 1206)(394, 1202)(395, 1266)(396, 1205)(397, 1287)(398, 1211)(399, 1289)(400, 1213)(401, 1260)(402, 1214)(403, 1219)(404, 1258)(405, 1242)(406, 1288)(407, 1223)(408, 1292)(409, 1244)(410, 1241)(411, 1237)(412, 1249)(413, 1240)(414, 1296)(415, 1245)(416, 1290)(417, 1293)(418, 1252)(419, 1294)(420, 1254)(421, 1256)(422, 1291)(423, 1295)(424, 1262)(425, 1281)(426, 1284)(427, 1269)(428, 1285)(429, 1271)(430, 1273)(431, 1282)(432, 1286)(433, 1297)(434, 1298)(435, 1299)(436, 1300)(437, 1301)(438, 1302)(439, 1303)(440, 1304)(441, 1305)(442, 1306)(443, 1307)(444, 1308)(445, 1309)(446, 1310)(447, 1311)(448, 1312)(449, 1313)(450, 1314)(451, 1315)(452, 1316)(453, 1317)(454, 1318)(455, 1319)(456, 1320)(457, 1321)(458, 1322)(459, 1323)(460, 1324)(461, 1325)(462, 1326)(463, 1327)(464, 1328)(465, 1329)(466, 1330)(467, 1331)(468, 1332)(469, 1333)(470, 1334)(471, 1335)(472, 1336)(473, 1337)(474, 1338)(475, 1339)(476, 1340)(477, 1341)(478, 1342)(479, 1343)(480, 1344)(481, 1345)(482, 1346)(483, 1347)(484, 1348)(485, 1349)(486, 1350)(487, 1351)(488, 1352)(489, 1353)(490, 1354)(491, 1355)(492, 1356)(493, 1357)(494, 1358)(495, 1359)(496, 1360)(497, 1361)(498, 1362)(499, 1363)(500, 1364)(501, 1365)(502, 1366)(503, 1367)(504, 1368)(505, 1369)(506, 1370)(507, 1371)(508, 1372)(509, 1373)(510, 1374)(511, 1375)(512, 1376)(513, 1377)(514, 1378)(515, 1379)(516, 1380)(517, 1381)(518, 1382)(519, 1383)(520, 1384)(521, 1385)(522, 1386)(523, 1387)(524, 1388)(525, 1389)(526, 1390)(527, 1391)(528, 1392)(529, 1393)(530, 1394)(531, 1395)(532, 1396)(533, 1397)(534, 1398)(535, 1399)(536, 1400)(537, 1401)(538, 1402)(539, 1403)(540, 1404)(541, 1405)(542, 1406)(543, 1407)(544, 1408)(545, 1409)(546, 1410)(547, 1411)(548, 1412)(549, 1413)(550, 1414)(551, 1415)(552, 1416)(553, 1417)(554, 1418)(555, 1419)(556, 1420)(557, 1421)(558, 1422)(559, 1423)(560, 1424)(561, 1425)(562, 1426)(563, 1427)(564, 1428)(565, 1429)(566, 1430)(567, 1431)(568, 1432)(569, 1433)(570, 1434)(571, 1435)(572, 1436)(573, 1437)(574, 1438)(575, 1439)(576, 1440)(577, 1441)(578, 1442)(579, 1443)(580, 1444)(581, 1445)(582, 1446)(583, 1447)(584, 1448)(585, 1449)(586, 1450)(587, 1451)(588, 1452)(589, 1453)(590, 1454)(591, 1455)(592, 1456)(593, 1457)(594, 1458)(595, 1459)(596, 1460)(597, 1461)(598, 1462)(599, 1463)(600, 1464)(601, 1465)(602, 1466)(603, 1467)(604, 1468)(605, 1469)(606, 1470)(607, 1471)(608, 1472)(609, 1473)(610, 1474)(611, 1475)(612, 1476)(613, 1477)(614, 1478)(615, 1479)(616, 1480)(617, 1481)(618, 1482)(619, 1483)(620, 1484)(621, 1485)(622, 1486)(623, 1487)(624, 1488)(625, 1489)(626, 1490)(627, 1491)(628, 1492)(629, 1493)(630, 1494)(631, 1495)(632, 1496)(633, 1497)(634, 1498)(635, 1499)(636, 1500)(637, 1501)(638, 1502)(639, 1503)(640, 1504)(641, 1505)(642, 1506)(643, 1507)(644, 1508)(645, 1509)(646, 1510)(647, 1511)(648, 1512)(649, 1513)(650, 1514)(651, 1515)(652, 1516)(653, 1517)(654, 1518)(655, 1519)(656, 1520)(657, 1521)(658, 1522)(659, 1523)(660, 1524)(661, 1525)(662, 1526)(663, 1527)(664, 1528)(665, 1529)(666, 1530)(667, 1531)(668, 1532)(669, 1533)(670, 1534)(671, 1535)(672, 1536)(673, 1537)(674, 1538)(675, 1539)(676, 1540)(677, 1541)(678, 1542)(679, 1543)(680, 1544)(681, 1545)(682, 1546)(683, 1547)(684, 1548)(685, 1549)(686, 1550)(687, 1551)(688, 1552)(689, 1553)(690, 1554)(691, 1555)(692, 1556)(693, 1557)(694, 1558)(695, 1559)(696, 1560)(697, 1561)(698, 1562)(699, 1563)(700, 1564)(701, 1565)(702, 1566)(703, 1567)(704, 1568)(705, 1569)(706, 1570)(707, 1571)(708, 1572)(709, 1573)(710, 1574)(711, 1575)(712, 1576)(713, 1577)(714, 1578)(715, 1579)(716, 1580)(717, 1581)(718, 1582)(719, 1583)(720, 1584)(721, 1585)(722, 1586)(723, 1587)(724, 1588)(725, 1589)(726, 1590)(727, 1591)(728, 1592)(729, 1593)(730, 1594)(731, 1595)(732, 1596)(733, 1597)(734, 1598)(735, 1599)(736, 1600)(737, 1601)(738, 1602)(739, 1603)(740, 1604)(741, 1605)(742, 1606)(743, 1607)(744, 1608)(745, 1609)(746, 1610)(747, 1611)(748, 1612)(749, 1613)(750, 1614)(751, 1615)(752, 1616)(753, 1617)(754, 1618)(755, 1619)(756, 1620)(757, 1621)(758, 1622)(759, 1623)(760, 1624)(761, 1625)(762, 1626)(763, 1627)(764, 1628)(765, 1629)(766, 1630)(767, 1631)(768, 1632)(769, 1633)(770, 1634)(771, 1635)(772, 1636)(773, 1637)(774, 1638)(775, 1639)(776, 1640)(777, 1641)(778, 1642)(779, 1643)(780, 1644)(781, 1645)(782, 1646)(783, 1647)(784, 1648)(785, 1649)(786, 1650)(787, 1651)(788, 1652)(789, 1653)(790, 1654)(791, 1655)(792, 1656)(793, 1657)(794, 1658)(795, 1659)(796, 1660)(797, 1661)(798, 1662)(799, 1663)(800, 1664)(801, 1665)(802, 1666)(803, 1667)(804, 1668)(805, 1669)(806, 1670)(807, 1671)(808, 1672)(809, 1673)(810, 1674)(811, 1675)(812, 1676)(813, 1677)(814, 1678)(815, 1679)(816, 1680)(817, 1681)(818, 1682)(819, 1683)(820, 1684)(821, 1685)(822, 1686)(823, 1687)(824, 1688)(825, 1689)(826, 1690)(827, 1691)(828, 1692)(829, 1693)(830, 1694)(831, 1695)(832, 1696)(833, 1697)(834, 1698)(835, 1699)(836, 1700)(837, 1701)(838, 1702)(839, 1703)(840, 1704)(841, 1705)(842, 1706)(843, 1707)(844, 1708)(845, 1709)(846, 1710)(847, 1711)(848, 1712)(849, 1713)(850, 1714)(851, 1715)(852, 1716)(853, 1717)(854, 1718)(855, 1719)(856, 1720)(857, 1721)(858, 1722)(859, 1723)(860, 1724)(861, 1725)(862, 1726)(863, 1727)(864, 1728)
	local type(s) :: { ( 6, 48 ), ( 6, 48, 6, 48 ) }
Outer automorphisms :: reflexible
Dual of E28.3274
Graph:: simple bipartite
	v = 648 e = 864 f = 162
	degree seq :: [ 2^432, 4^216 ]

E28.3276 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 24})
Quotient :: dipole
Aut^+ = $<432, 248>$ (small group id <432, 248>)
Aut   = $<864, 2225>$ (small group id <864, 2225>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (Y1^-1 * Y3)^3, (Y3 * Y1^-1)^3, Y3 * Y1^-2 * Y3 * Y1^3 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-4, Y1^-1 * Y3 * Y1^-4 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^3 * Y3 * Y1^-1, (Y1^-1 * Y3 * Y1^5 * Y3 * Y1^-1)^2, Y1^24 ]
Map:: polytopal
	R = (1, 433, 2, 434, 5, 437, 11, 443, 21, 453, 37, 469, 63, 495, 105, 537, 173, 605, 263, 695, 346, 778, 398, 830, 424, 856, 416, 848, 384, 816, 327, 759, 262, 694, 172, 604, 104, 536, 62, 494, 36, 468, 20, 452, 10, 442, 4, 436)(3, 435, 7, 439, 15, 447, 27, 459, 47, 479, 79, 511, 131, 563, 215, 647, 280, 712, 184, 616, 279, 711, 360, 792, 406, 838, 367, 799, 290, 722, 251, 683, 335, 767, 239, 671, 151, 583, 91, 523, 54, 486, 31, 463, 17, 449, 8, 440)(6, 438, 13, 445, 25, 457, 43, 475, 73, 505, 121, 553, 199, 631, 297, 729, 354, 786, 273, 705, 223, 655, 318, 750, 383, 815, 339, 771, 244, 676, 158, 590, 247, 679, 310, 742, 214, 646, 130, 562, 78, 510, 46, 478, 26, 458, 14, 446)(9, 441, 18, 450, 32, 464, 55, 487, 92, 524, 152, 584, 240, 672, 289, 721, 192, 624, 116, 548, 191, 623, 288, 720, 366, 798, 301, 733, 205, 637, 303, 735, 375, 807, 325, 757, 230, 662, 143, 575, 86, 518, 51, 483, 29, 461, 16, 448)(12, 444, 23, 455, 41, 473, 69, 501, 115, 547, 189, 621, 286, 718, 364, 796, 326, 758, 232, 664, 145, 577, 231, 663, 319, 751, 224, 656, 138, 570, 85, 517, 141, 573, 228, 660, 296, 728, 198, 630, 120, 552, 72, 504, 42, 474, 24, 456)(19, 451, 34, 466, 58, 490, 97, 529, 160, 592, 248, 680, 302, 734, 204, 636, 124, 556, 74, 506, 123, 555, 203, 635, 300, 732, 221, 653, 139, 571, 225, 657, 320, 752, 385, 817, 329, 761, 235, 667, 159, 591, 96, 528, 57, 489, 33, 465)(22, 454, 39, 471, 67, 499, 111, 543, 183, 615, 277, 709, 358, 790, 404, 836, 376, 808, 305, 737, 208, 640, 304, 736, 233, 665, 146, 578, 88, 520, 53, 485, 89, 521, 147, 579, 234, 666, 285, 717, 188, 620, 114, 546, 68, 500, 40, 472)(28, 460, 49, 481, 83, 515, 137, 569, 180, 612, 113, 545, 186, 618, 281, 713, 250, 682, 163, 595, 98, 530, 162, 594, 193, 625, 117, 549, 70, 502, 45, 477, 76, 508, 126, 558, 207, 639, 270, 702, 227, 659, 140, 572, 84, 516, 50, 482)(30, 462, 52, 484, 87, 519, 144, 576, 181, 613, 274, 706, 246, 678, 157, 589, 95, 527, 56, 488, 94, 526, 156, 588, 185, 617, 112, 544, 71, 503, 118, 550, 194, 626, 291, 723, 255, 687, 166, 598, 206, 638, 125, 557, 75, 507, 44, 476)(35, 467, 60, 492, 100, 532, 165, 597, 253, 685, 317, 749, 222, 654, 136, 568, 82, 514, 48, 480, 81, 513, 135, 567, 220, 652, 315, 747, 245, 677, 340, 772, 395, 827, 419, 851, 388, 820, 322, 754, 252, 684, 164, 596, 99, 531, 59, 491)(38, 470, 65, 497, 109, 541, 179, 611, 272, 704, 352, 784, 402, 834, 427, 859, 409, 841, 369, 801, 292, 724, 368, 800, 306, 738, 209, 641, 127, 559, 77, 509, 128, 560, 210, 642, 307, 739, 357, 789, 276, 708, 182, 614, 110, 542, 66, 498)(61, 493, 102, 534, 168, 600, 257, 689, 344, 776, 363, 795, 299, 731, 200, 632, 155, 587, 93, 525, 154, 586, 243, 675, 264, 696, 347, 779, 342, 774, 397, 829, 423, 855, 428, 860, 414, 846, 380, 812, 343, 775, 256, 688, 167, 599, 101, 533)(64, 496, 107, 539, 177, 609, 269, 701, 350, 782, 311, 743, 381, 813, 415, 847, 429, 861, 407, 839, 361, 793, 345, 777, 261, 693, 293, 725, 195, 627, 119, 551, 196, 628, 150, 582, 237, 669, 331, 763, 351, 783, 271, 703, 178, 610, 108, 540)(80, 512, 133, 565, 190, 622, 287, 719, 353, 785, 403, 835, 426, 858, 413, 845, 432, 864, 418, 850, 386, 818, 417, 849, 389, 821, 323, 755, 229, 661, 142, 574, 211, 643, 129, 561, 212, 644, 284, 716, 362, 794, 314, 746, 219, 651, 134, 566)(90, 522, 149, 581, 197, 629, 294, 726, 356, 788, 338, 770, 242, 674, 153, 585, 202, 634, 122, 554, 201, 633, 278, 710, 359, 791, 401, 833, 391, 823, 421, 853, 430, 862, 422, 854, 431, 863, 412, 844, 392, 824, 330, 762, 236, 668, 148, 580)(103, 535, 170, 602, 258, 690, 275, 707, 355, 787, 295, 727, 218, 650, 132, 564, 217, 649, 161, 593, 249, 681, 266, 698, 174, 606, 265, 697, 348, 780, 399, 831, 425, 857, 408, 840, 393, 825, 334, 766, 387, 819, 321, 753, 226, 658, 169, 601)(106, 538, 175, 607, 267, 699, 349, 781, 400, 832, 371, 803, 411, 843, 390, 822, 420, 852, 396, 828, 341, 773, 259, 691, 171, 603, 260, 692, 282, 714, 187, 619, 283, 715, 213, 645, 308, 740, 241, 673, 337, 769, 254, 686, 268, 700, 176, 608)(216, 648, 312, 744, 370, 802, 410, 842, 394, 826, 336, 768, 378, 810, 309, 741, 379, 811, 405, 837, 374, 806, 332, 764, 238, 670, 333, 765, 365, 797, 316, 748, 377, 809, 324, 756, 373, 805, 298, 730, 372, 804, 328, 760, 382, 814, 313, 745)(865, 1297)(866, 1298)(867, 1299)(868, 1300)(869, 1301)(870, 1302)(871, 1303)(872, 1304)(873, 1305)(874, 1306)(875, 1307)(876, 1308)(877, 1309)(878, 1310)(879, 1311)(880, 1312)(881, 1313)(882, 1314)(883, 1315)(884, 1316)(885, 1317)(886, 1318)(887, 1319)(888, 1320)(889, 1321)(890, 1322)(891, 1323)(892, 1324)(893, 1325)(894, 1326)(895, 1327)(896, 1328)(897, 1329)(898, 1330)(899, 1331)(900, 1332)(901, 1333)(902, 1334)(903, 1335)(904, 1336)(905, 1337)(906, 1338)(907, 1339)(908, 1340)(909, 1341)(910, 1342)(911, 1343)(912, 1344)(913, 1345)(914, 1346)(915, 1347)(916, 1348)(917, 1349)(918, 1350)(919, 1351)(920, 1352)(921, 1353)(922, 1354)(923, 1355)(924, 1356)(925, 1357)(926, 1358)(927, 1359)(928, 1360)(929, 1361)(930, 1362)(931, 1363)(932, 1364)(933, 1365)(934, 1366)(935, 1367)(936, 1368)(937, 1369)(938, 1370)(939, 1371)(940, 1372)(941, 1373)(942, 1374)(943, 1375)(944, 1376)(945, 1377)(946, 1378)(947, 1379)(948, 1380)(949, 1381)(950, 1382)(951, 1383)(952, 1384)(953, 1385)(954, 1386)(955, 1387)(956, 1388)(957, 1389)(958, 1390)(959, 1391)(960, 1392)(961, 1393)(962, 1394)(963, 1395)(964, 1396)(965, 1397)(966, 1398)(967, 1399)(968, 1400)(969, 1401)(970, 1402)(971, 1403)(972, 1404)(973, 1405)(974, 1406)(975, 1407)(976, 1408)(977, 1409)(978, 1410)(979, 1411)(980, 1412)(981, 1413)(982, 1414)(983, 1415)(984, 1416)(985, 1417)(986, 1418)(987, 1419)(988, 1420)(989, 1421)(990, 1422)(991, 1423)(992, 1424)(993, 1425)(994, 1426)(995, 1427)(996, 1428)(997, 1429)(998, 1430)(999, 1431)(1000, 1432)(1001, 1433)(1002, 1434)(1003, 1435)(1004, 1436)(1005, 1437)(1006, 1438)(1007, 1439)(1008, 1440)(1009, 1441)(1010, 1442)(1011, 1443)(1012, 1444)(1013, 1445)(1014, 1446)(1015, 1447)(1016, 1448)(1017, 1449)(1018, 1450)(1019, 1451)(1020, 1452)(1021, 1453)(1022, 1454)(1023, 1455)(1024, 1456)(1025, 1457)(1026, 1458)(1027, 1459)(1028, 1460)(1029, 1461)(1030, 1462)(1031, 1463)(1032, 1464)(1033, 1465)(1034, 1466)(1035, 1467)(1036, 1468)(1037, 1469)(1038, 1470)(1039, 1471)(1040, 1472)(1041, 1473)(1042, 1474)(1043, 1475)(1044, 1476)(1045, 1477)(1046, 1478)(1047, 1479)(1048, 1480)(1049, 1481)(1050, 1482)(1051, 1483)(1052, 1484)(1053, 1485)(1054, 1486)(1055, 1487)(1056, 1488)(1057, 1489)(1058, 1490)(1059, 1491)(1060, 1492)(1061, 1493)(1062, 1494)(1063, 1495)(1064, 1496)(1065, 1497)(1066, 1498)(1067, 1499)(1068, 1500)(1069, 1501)(1070, 1502)(1071, 1503)(1072, 1504)(1073, 1505)(1074, 1506)(1075, 1507)(1076, 1508)(1077, 1509)(1078, 1510)(1079, 1511)(1080, 1512)(1081, 1513)(1082, 1514)(1083, 1515)(1084, 1516)(1085, 1517)(1086, 1518)(1087, 1519)(1088, 1520)(1089, 1521)(1090, 1522)(1091, 1523)(1092, 1524)(1093, 1525)(1094, 1526)(1095, 1527)(1096, 1528)(1097, 1529)(1098, 1530)(1099, 1531)(1100, 1532)(1101, 1533)(1102, 1534)(1103, 1535)(1104, 1536)(1105, 1537)(1106, 1538)(1107, 1539)(1108, 1540)(1109, 1541)(1110, 1542)(1111, 1543)(1112, 1544)(1113, 1545)(1114, 1546)(1115, 1547)(1116, 1548)(1117, 1549)(1118, 1550)(1119, 1551)(1120, 1552)(1121, 1553)(1122, 1554)(1123, 1555)(1124, 1556)(1125, 1557)(1126, 1558)(1127, 1559)(1128, 1560)(1129, 1561)(1130, 1562)(1131, 1563)(1132, 1564)(1133, 1565)(1134, 1566)(1135, 1567)(1136, 1568)(1137, 1569)(1138, 1570)(1139, 1571)(1140, 1572)(1141, 1573)(1142, 1574)(1143, 1575)(1144, 1576)(1145, 1577)(1146, 1578)(1147, 1579)(1148, 1580)(1149, 1581)(1150, 1582)(1151, 1583)(1152, 1584)(1153, 1585)(1154, 1586)(1155, 1587)(1156, 1588)(1157, 1589)(1158, 1590)(1159, 1591)(1160, 1592)(1161, 1593)(1162, 1594)(1163, 1595)(1164, 1596)(1165, 1597)(1166, 1598)(1167, 1599)(1168, 1600)(1169, 1601)(1170, 1602)(1171, 1603)(1172, 1604)(1173, 1605)(1174, 1606)(1175, 1607)(1176, 1608)(1177, 1609)(1178, 1610)(1179, 1611)(1180, 1612)(1181, 1613)(1182, 1614)(1183, 1615)(1184, 1616)(1185, 1617)(1186, 1618)(1187, 1619)(1188, 1620)(1189, 1621)(1190, 1622)(1191, 1623)(1192, 1624)(1193, 1625)(1194, 1626)(1195, 1627)(1196, 1628)(1197, 1629)(1198, 1630)(1199, 1631)(1200, 1632)(1201, 1633)(1202, 1634)(1203, 1635)(1204, 1636)(1205, 1637)(1206, 1638)(1207, 1639)(1208, 1640)(1209, 1641)(1210, 1642)(1211, 1643)(1212, 1644)(1213, 1645)(1214, 1646)(1215, 1647)(1216, 1648)(1217, 1649)(1218, 1650)(1219, 1651)(1220, 1652)(1221, 1653)(1222, 1654)(1223, 1655)(1224, 1656)(1225, 1657)(1226, 1658)(1227, 1659)(1228, 1660)(1229, 1661)(1230, 1662)(1231, 1663)(1232, 1664)(1233, 1665)(1234, 1666)(1235, 1667)(1236, 1668)(1237, 1669)(1238, 1670)(1239, 1671)(1240, 1672)(1241, 1673)(1242, 1674)(1243, 1675)(1244, 1676)(1245, 1677)(1246, 1678)(1247, 1679)(1248, 1680)(1249, 1681)(1250, 1682)(1251, 1683)(1252, 1684)(1253, 1685)(1254, 1686)(1255, 1687)(1256, 1688)(1257, 1689)(1258, 1690)(1259, 1691)(1260, 1692)(1261, 1693)(1262, 1694)(1263, 1695)(1264, 1696)(1265, 1697)(1266, 1698)(1267, 1699)(1268, 1700)(1269, 1701)(1270, 1702)(1271, 1703)(1272, 1704)(1273, 1705)(1274, 1706)(1275, 1707)(1276, 1708)(1277, 1709)(1278, 1710)(1279, 1711)(1280, 1712)(1281, 1713)(1282, 1714)(1283, 1715)(1284, 1716)(1285, 1717)(1286, 1718)(1287, 1719)(1288, 1720)(1289, 1721)(1290, 1722)(1291, 1723)(1292, 1724)(1293, 1725)(1294, 1726)(1295, 1727)(1296, 1728)
	L = (1, 867)(2, 870)(3, 865)(4, 873)(5, 876)(6, 866)(7, 880)(8, 877)(9, 868)(10, 883)(11, 886)(12, 869)(13, 872)(14, 887)(15, 892)(16, 871)(17, 894)(18, 897)(19, 874)(20, 899)(21, 902)(22, 875)(23, 878)(24, 903)(25, 908)(26, 909)(27, 912)(28, 879)(29, 913)(30, 881)(31, 917)(32, 920)(33, 882)(34, 923)(35, 884)(36, 925)(37, 928)(38, 885)(39, 888)(40, 929)(41, 934)(42, 935)(43, 938)(44, 889)(45, 890)(46, 941)(47, 944)(48, 891)(49, 893)(50, 945)(51, 949)(52, 952)(53, 895)(54, 954)(55, 957)(56, 896)(57, 958)(58, 962)(59, 898)(60, 965)(61, 900)(62, 967)(63, 970)(64, 901)(65, 904)(66, 971)(67, 976)(68, 977)(69, 980)(70, 905)(71, 906)(72, 983)(73, 986)(74, 907)(75, 987)(76, 991)(77, 910)(78, 993)(79, 996)(80, 911)(81, 914)(82, 997)(83, 1002)(84, 1003)(85, 915)(86, 1006)(87, 1009)(88, 916)(89, 1012)(90, 918)(91, 1014)(92, 1017)(93, 919)(94, 921)(95, 1018)(96, 1022)(97, 1025)(98, 922)(99, 1026)(100, 1030)(101, 924)(102, 1033)(103, 926)(104, 1035)(105, 1038)(106, 927)(107, 930)(108, 1039)(109, 1044)(110, 1045)(111, 1048)(112, 931)(113, 932)(114, 1051)(115, 1054)(116, 933)(117, 1055)(118, 1059)(119, 936)(120, 1061)(121, 1064)(122, 937)(123, 939)(124, 1065)(125, 1069)(126, 1072)(127, 940)(128, 1075)(129, 942)(130, 1077)(131, 1080)(132, 943)(133, 946)(134, 1081)(135, 1085)(136, 1053)(137, 1087)(138, 947)(139, 948)(140, 1090)(141, 1093)(142, 950)(143, 1074)(144, 1041)(145, 951)(146, 1095)(147, 1099)(148, 953)(149, 1060)(150, 955)(151, 1102)(152, 1105)(153, 956)(154, 959)(155, 1066)(156, 1108)(157, 1109)(158, 960)(159, 1100)(160, 1083)(161, 961)(162, 963)(163, 1113)(164, 1115)(165, 1118)(166, 964)(167, 1070)(168, 1091)(169, 966)(170, 1123)(171, 968)(172, 1125)(173, 1128)(174, 969)(175, 972)(176, 1129)(177, 1008)(178, 1134)(179, 1137)(180, 973)(181, 974)(182, 1139)(183, 1142)(184, 975)(185, 1143)(186, 1146)(187, 978)(188, 1148)(189, 1000)(190, 979)(191, 981)(192, 1151)(193, 1154)(194, 1156)(195, 982)(196, 1013)(197, 984)(198, 1159)(199, 1162)(200, 985)(201, 988)(202, 1019)(203, 1165)(204, 1141)(205, 989)(206, 1031)(207, 1131)(208, 990)(209, 1168)(210, 1007)(211, 992)(212, 1147)(213, 994)(214, 1173)(215, 1175)(216, 995)(217, 998)(218, 1176)(219, 1024)(220, 1127)(221, 999)(222, 1180)(223, 1001)(224, 1182)(225, 1185)(226, 1004)(227, 1032)(228, 1186)(229, 1005)(230, 1188)(231, 1010)(232, 1133)(233, 1191)(234, 1192)(235, 1011)(236, 1023)(237, 1196)(238, 1015)(239, 1198)(240, 1200)(241, 1016)(242, 1201)(243, 1179)(244, 1020)(245, 1021)(246, 1205)(247, 1194)(248, 1195)(249, 1027)(250, 1206)(251, 1028)(252, 1187)(253, 1202)(254, 1029)(255, 1132)(256, 1167)(257, 1135)(258, 1138)(259, 1034)(260, 1209)(261, 1036)(262, 1170)(263, 1084)(264, 1037)(265, 1040)(266, 1211)(267, 1071)(268, 1119)(269, 1096)(270, 1042)(271, 1121)(272, 1217)(273, 1043)(274, 1122)(275, 1046)(276, 1220)(277, 1068)(278, 1047)(279, 1049)(280, 1223)(281, 1225)(282, 1050)(283, 1076)(284, 1052)(285, 1227)(286, 1229)(287, 1056)(288, 1231)(289, 1216)(290, 1057)(291, 1212)(292, 1058)(293, 1232)(294, 1219)(295, 1062)(296, 1234)(297, 1235)(298, 1063)(299, 1236)(300, 1210)(301, 1067)(302, 1238)(303, 1120)(304, 1073)(305, 1213)(306, 1126)(307, 1241)(308, 1242)(309, 1078)(310, 1244)(311, 1079)(312, 1082)(313, 1245)(314, 1215)(315, 1107)(316, 1086)(317, 1221)(318, 1088)(319, 1248)(320, 1250)(321, 1089)(322, 1092)(323, 1116)(324, 1094)(325, 1254)(326, 1255)(327, 1097)(328, 1098)(329, 1246)(330, 1111)(331, 1112)(332, 1101)(333, 1257)(334, 1103)(335, 1253)(336, 1104)(337, 1106)(338, 1117)(339, 1224)(340, 1260)(341, 1110)(342, 1114)(343, 1256)(344, 1226)(345, 1124)(346, 1164)(347, 1130)(348, 1155)(349, 1169)(350, 1265)(351, 1178)(352, 1153)(353, 1136)(354, 1267)(355, 1158)(356, 1140)(357, 1181)(358, 1269)(359, 1144)(360, 1203)(361, 1145)(362, 1208)(363, 1149)(364, 1272)(365, 1150)(366, 1262)(367, 1152)(368, 1157)(369, 1263)(370, 1160)(371, 1161)(372, 1163)(373, 1275)(374, 1166)(375, 1276)(376, 1277)(377, 1171)(378, 1172)(379, 1278)(380, 1174)(381, 1177)(382, 1193)(383, 1280)(384, 1183)(385, 1279)(386, 1184)(387, 1281)(388, 1274)(389, 1199)(390, 1189)(391, 1190)(392, 1207)(393, 1197)(394, 1266)(395, 1286)(396, 1204)(397, 1271)(398, 1230)(399, 1233)(400, 1290)(401, 1214)(402, 1258)(403, 1218)(404, 1292)(405, 1222)(406, 1288)(407, 1261)(408, 1228)(409, 1294)(410, 1252)(411, 1237)(412, 1239)(413, 1240)(414, 1243)(415, 1249)(416, 1247)(417, 1251)(418, 1293)(419, 1291)(420, 1295)(421, 1289)(422, 1259)(423, 1296)(424, 1270)(425, 1285)(426, 1264)(427, 1283)(428, 1268)(429, 1282)(430, 1273)(431, 1284)(432, 1287)(433, 1297)(434, 1298)(435, 1299)(436, 1300)(437, 1301)(438, 1302)(439, 1303)(440, 1304)(441, 1305)(442, 1306)(443, 1307)(444, 1308)(445, 1309)(446, 1310)(447, 1311)(448, 1312)(449, 1313)(450, 1314)(451, 1315)(452, 1316)(453, 1317)(454, 1318)(455, 1319)(456, 1320)(457, 1321)(458, 1322)(459, 1323)(460, 1324)(461, 1325)(462, 1326)(463, 1327)(464, 1328)(465, 1329)(466, 1330)(467, 1331)(468, 1332)(469, 1333)(470, 1334)(471, 1335)(472, 1336)(473, 1337)(474, 1338)(475, 1339)(476, 1340)(477, 1341)(478, 1342)(479, 1343)(480, 1344)(481, 1345)(482, 1346)(483, 1347)(484, 1348)(485, 1349)(486, 1350)(487, 1351)(488, 1352)(489, 1353)(490, 1354)(491, 1355)(492, 1356)(493, 1357)(494, 1358)(495, 1359)(496, 1360)(497, 1361)(498, 1362)(499, 1363)(500, 1364)(501, 1365)(502, 1366)(503, 1367)(504, 1368)(505, 1369)(506, 1370)(507, 1371)(508, 1372)(509, 1373)(510, 1374)(511, 1375)(512, 1376)(513, 1377)(514, 1378)(515, 1379)(516, 1380)(517, 1381)(518, 1382)(519, 1383)(520, 1384)(521, 1385)(522, 1386)(523, 1387)(524, 1388)(525, 1389)(526, 1390)(527, 1391)(528, 1392)(529, 1393)(530, 1394)(531, 1395)(532, 1396)(533, 1397)(534, 1398)(535, 1399)(536, 1400)(537, 1401)(538, 1402)(539, 1403)(540, 1404)(541, 1405)(542, 1406)(543, 1407)(544, 1408)(545, 1409)(546, 1410)(547, 1411)(548, 1412)(549, 1413)(550, 1414)(551, 1415)(552, 1416)(553, 1417)(554, 1418)(555, 1419)(556, 1420)(557, 1421)(558, 1422)(559, 1423)(560, 1424)(561, 1425)(562, 1426)(563, 1427)(564, 1428)(565, 1429)(566, 1430)(567, 1431)(568, 1432)(569, 1433)(570, 1434)(571, 1435)(572, 1436)(573, 1437)(574, 1438)(575, 1439)(576, 1440)(577, 1441)(578, 1442)(579, 1443)(580, 1444)(581, 1445)(582, 1446)(583, 1447)(584, 1448)(585, 1449)(586, 1450)(587, 1451)(588, 1452)(589, 1453)(590, 1454)(591, 1455)(592, 1456)(593, 1457)(594, 1458)(595, 1459)(596, 1460)(597, 1461)(598, 1462)(599, 1463)(600, 1464)(601, 1465)(602, 1466)(603, 1467)(604, 1468)(605, 1469)(606, 1470)(607, 1471)(608, 1472)(609, 1473)(610, 1474)(611, 1475)(612, 1476)(613, 1477)(614, 1478)(615, 1479)(616, 1480)(617, 1481)(618, 1482)(619, 1483)(620, 1484)(621, 1485)(622, 1486)(623, 1487)(624, 1488)(625, 1489)(626, 1490)(627, 1491)(628, 1492)(629, 1493)(630, 1494)(631, 1495)(632, 1496)(633, 1497)(634, 1498)(635, 1499)(636, 1500)(637, 1501)(638, 1502)(639, 1503)(640, 1504)(641, 1505)(642, 1506)(643, 1507)(644, 1508)(645, 1509)(646, 1510)(647, 1511)(648, 1512)(649, 1513)(650, 1514)(651, 1515)(652, 1516)(653, 1517)(654, 1518)(655, 1519)(656, 1520)(657, 1521)(658, 1522)(659, 1523)(660, 1524)(661, 1525)(662, 1526)(663, 1527)(664, 1528)(665, 1529)(666, 1530)(667, 1531)(668, 1532)(669, 1533)(670, 1534)(671, 1535)(672, 1536)(673, 1537)(674, 1538)(675, 1539)(676, 1540)(677, 1541)(678, 1542)(679, 1543)(680, 1544)(681, 1545)(682, 1546)(683, 1547)(684, 1548)(685, 1549)(686, 1550)(687, 1551)(688, 1552)(689, 1553)(690, 1554)(691, 1555)(692, 1556)(693, 1557)(694, 1558)(695, 1559)(696, 1560)(697, 1561)(698, 1562)(699, 1563)(700, 1564)(701, 1565)(702, 1566)(703, 1567)(704, 1568)(705, 1569)(706, 1570)(707, 1571)(708, 1572)(709, 1573)(710, 1574)(711, 1575)(712, 1576)(713, 1577)(714, 1578)(715, 1579)(716, 1580)(717, 1581)(718, 1582)(719, 1583)(720, 1584)(721, 1585)(722, 1586)(723, 1587)(724, 1588)(725, 1589)(726, 1590)(727, 1591)(728, 1592)(729, 1593)(730, 1594)(731, 1595)(732, 1596)(733, 1597)(734, 1598)(735, 1599)(736, 1600)(737, 1601)(738, 1602)(739, 1603)(740, 1604)(741, 1605)(742, 1606)(743, 1607)(744, 1608)(745, 1609)(746, 1610)(747, 1611)(748, 1612)(749, 1613)(750, 1614)(751, 1615)(752, 1616)(753, 1617)(754, 1618)(755, 1619)(756, 1620)(757, 1621)(758, 1622)(759, 1623)(760, 1624)(761, 1625)(762, 1626)(763, 1627)(764, 1628)(765, 1629)(766, 1630)(767, 1631)(768, 1632)(769, 1633)(770, 1634)(771, 1635)(772, 1636)(773, 1637)(774, 1638)(775, 1639)(776, 1640)(777, 1641)(778, 1642)(779, 1643)(780, 1644)(781, 1645)(782, 1646)(783, 1647)(784, 1648)(785, 1649)(786, 1650)(787, 1651)(788, 1652)(789, 1653)(790, 1654)(791, 1655)(792, 1656)(793, 1657)(794, 1658)(795, 1659)(796, 1660)(797, 1661)(798, 1662)(799, 1663)(800, 1664)(801, 1665)(802, 1666)(803, 1667)(804, 1668)(805, 1669)(806, 1670)(807, 1671)(808, 1672)(809, 1673)(810, 1674)(811, 1675)(812, 1676)(813, 1677)(814, 1678)(815, 1679)(816, 1680)(817, 1681)(818, 1682)(819, 1683)(820, 1684)(821, 1685)(822, 1686)(823, 1687)(824, 1688)(825, 1689)(826, 1690)(827, 1691)(828, 1692)(829, 1693)(830, 1694)(831, 1695)(832, 1696)(833, 1697)(834, 1698)(835, 1699)(836, 1700)(837, 1701)(838, 1702)(839, 1703)(840, 1704)(841, 1705)(842, 1706)(843, 1707)(844, 1708)(845, 1709)(846, 1710)(847, 1711)(848, 1712)(849, 1713)(850, 1714)(851, 1715)(852, 1716)(853, 1717)(854, 1718)(855, 1719)(856, 1720)(857, 1721)(858, 1722)(859, 1723)(860, 1724)(861, 1725)(862, 1726)(863, 1727)(864, 1728)
	local type(s) :: { ( 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.3273
Graph:: simple bipartite
	v = 450 e = 864 f = 360
	degree seq :: [ 2^432, 48^18 ]

E28.3277 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 24})
Quotient :: dipole
Aut^+ = $<432, 248>$ (small group id <432, 248>)
Aut   = $<864, 2225>$ (small group id <864, 2225>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1)^3, (Y3 * Y2^-1)^3, Y2^-2 * Y1 * Y2^-1 * R * Y2 * Y1 * Y2^-1 * R * Y1, Y2 * Y1 * Y2^-3 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^3 * Y1 * Y2^-1 * Y1, Y2^2 * Y1 * Y2^4 * R * Y2^2 * R * Y2^-4 * Y1, Y2^-3 * Y1 * Y2^-3 * R * Y2^-9 * R, R * Y2^-3 * Y1 * Y2^-6 * Y1 * Y2^-3 * R * Y2^6 ]
Map::
	R = (1, 433, 2, 434)(3, 435, 7, 439)(4, 436, 9, 441)(5, 437, 11, 443)(6, 438, 13, 445)(8, 440, 16, 448)(10, 442, 19, 451)(12, 444, 22, 454)(14, 446, 25, 457)(15, 447, 27, 459)(17, 449, 30, 462)(18, 450, 32, 464)(20, 452, 35, 467)(21, 453, 37, 469)(23, 455, 40, 472)(24, 456, 42, 474)(26, 458, 45, 477)(28, 460, 48, 480)(29, 461, 50, 482)(31, 463, 53, 485)(33, 465, 56, 488)(34, 466, 58, 490)(36, 468, 61, 493)(38, 470, 64, 496)(39, 471, 66, 498)(41, 473, 69, 501)(43, 475, 72, 504)(44, 476, 74, 506)(46, 478, 77, 509)(47, 479, 79, 511)(49, 481, 82, 514)(51, 483, 85, 517)(52, 484, 87, 519)(54, 486, 90, 522)(55, 487, 92, 524)(57, 489, 95, 527)(59, 491, 98, 530)(60, 492, 100, 532)(62, 494, 103, 535)(63, 495, 105, 537)(65, 497, 108, 540)(67, 499, 111, 543)(68, 500, 113, 545)(70, 502, 116, 548)(71, 503, 118, 550)(73, 505, 121, 553)(75, 507, 124, 556)(76, 508, 126, 558)(78, 510, 129, 561)(80, 512, 132, 564)(81, 513, 134, 566)(83, 515, 137, 569)(84, 516, 139, 571)(86, 518, 142, 574)(88, 520, 145, 577)(89, 521, 147, 579)(91, 523, 150, 582)(93, 525, 153, 585)(94, 526, 155, 587)(96, 528, 158, 590)(97, 529, 160, 592)(99, 531, 163, 595)(101, 533, 166, 598)(102, 534, 168, 600)(104, 536, 171, 603)(106, 538, 174, 606)(107, 539, 176, 608)(109, 541, 179, 611)(110, 542, 181, 613)(112, 544, 184, 616)(114, 546, 187, 619)(115, 547, 189, 621)(117, 549, 192, 624)(119, 551, 195, 627)(120, 552, 197, 629)(122, 554, 200, 632)(123, 555, 202, 634)(125, 557, 205, 637)(127, 559, 208, 640)(128, 560, 210, 642)(130, 562, 213, 645)(131, 563, 215, 647)(133, 565, 186, 618)(135, 567, 219, 651)(136, 568, 178, 610)(138, 570, 222, 654)(140, 572, 225, 657)(141, 573, 227, 659)(143, 575, 211, 643)(144, 576, 175, 607)(146, 578, 232, 664)(148, 580, 206, 638)(149, 581, 235, 667)(151, 583, 238, 670)(152, 584, 240, 672)(154, 586, 207, 639)(156, 588, 243, 675)(157, 589, 199, 631)(159, 591, 246, 678)(161, 593, 248, 680)(162, 594, 250, 682)(164, 596, 190, 622)(165, 597, 196, 628)(167, 599, 255, 687)(169, 601, 185, 617)(170, 602, 258, 690)(172, 604, 261, 693)(173, 605, 263, 695)(177, 609, 267, 699)(180, 612, 270, 702)(182, 614, 273, 705)(183, 615, 275, 707)(188, 620, 280, 712)(191, 623, 283, 715)(193, 625, 286, 718)(194, 626, 288, 720)(198, 630, 291, 723)(201, 633, 294, 726)(203, 635, 296, 728)(204, 636, 298, 730)(209, 641, 303, 735)(212, 644, 306, 738)(214, 646, 309, 741)(216, 648, 312, 744)(217, 649, 278, 710)(218, 650, 297, 729)(220, 652, 316, 748)(221, 653, 317, 749)(223, 655, 320, 752)(224, 656, 322, 754)(226, 658, 290, 722)(228, 660, 324, 756)(229, 661, 284, 716)(230, 662, 265, 697)(231, 663, 327, 759)(233, 665, 318, 750)(234, 666, 329, 761)(236, 668, 277, 709)(237, 669, 332, 764)(239, 671, 335, 767)(241, 673, 301, 733)(242, 674, 274, 706)(244, 676, 338, 770)(245, 677, 339, 771)(247, 679, 341, 773)(249, 681, 266, 698)(251, 683, 342, 774)(252, 684, 307, 739)(253, 685, 289, 721)(254, 686, 333, 765)(256, 688, 340, 772)(257, 689, 331, 763)(259, 691, 300, 732)(260, 692, 345, 777)(262, 694, 314, 746)(264, 696, 347, 779)(268, 700, 351, 783)(269, 701, 352, 784)(271, 703, 355, 787)(272, 704, 357, 789)(276, 708, 359, 791)(279, 711, 362, 794)(281, 713, 353, 785)(282, 714, 364, 796)(285, 717, 367, 799)(287, 719, 370, 802)(292, 724, 373, 805)(293, 725, 374, 806)(295, 727, 376, 808)(299, 731, 377, 809)(302, 734, 368, 800)(304, 736, 375, 807)(305, 737, 366, 798)(308, 740, 380, 812)(310, 742, 349, 781)(311, 743, 381, 813)(313, 745, 382, 814)(315, 747, 384, 816)(319, 751, 386, 818)(321, 753, 388, 820)(323, 755, 383, 815)(325, 757, 391, 823)(326, 758, 361, 793)(328, 760, 392, 824)(330, 762, 379, 811)(334, 766, 393, 825)(336, 768, 389, 821)(337, 769, 394, 826)(343, 775, 378, 810)(344, 776, 365, 797)(346, 778, 398, 830)(348, 780, 399, 831)(350, 782, 401, 833)(354, 786, 403, 835)(356, 788, 405, 837)(358, 790, 400, 832)(360, 792, 408, 840)(363, 795, 409, 841)(369, 801, 410, 842)(371, 803, 406, 838)(372, 804, 411, 843)(385, 817, 417, 849)(387, 819, 418, 850)(390, 822, 419, 851)(395, 827, 422, 854)(396, 828, 416, 848)(397, 829, 421, 853)(402, 834, 426, 858)(404, 836, 427, 859)(407, 839, 428, 860)(412, 844, 431, 863)(413, 845, 425, 857)(414, 846, 430, 862)(415, 847, 424, 856)(420, 852, 432, 864)(423, 855, 429, 861)(865, 1297, 867, 1299, 872, 1304, 881, 1313, 895, 1327, 918, 1350, 955, 1387, 1015, 1447, 1103, 1535, 1137, 1569, 1221, 1653, 1270, 1702, 1288, 1720, 1262, 1694, 1211, 1643, 1160, 1592, 1126, 1558, 1036, 1468, 968, 1400, 926, 1358, 900, 1332, 884, 1316, 874, 1306, 868, 1300)(866, 1298, 869, 1301, 876, 1308, 887, 1319, 905, 1337, 934, 1366, 981, 1413, 1057, 1489, 1151, 1583, 1089, 1521, 1186, 1618, 1253, 1685, 1279, 1711, 1245, 1677, 1176, 1608, 1112, 1544, 1174, 1606, 1078, 1510, 994, 1426, 942, 1374, 910, 1342, 890, 1322, 878, 1310, 870, 1302)(871, 1303, 877, 1309, 888, 1320, 907, 1339, 937, 1369, 986, 1418, 1065, 1497, 1159, 1591, 1212, 1644, 1129, 1561, 1038, 1470, 1127, 1559, 1210, 1642, 1200, 1632, 1104, 1536, 1017, 1449, 1105, 1537, 1185, 1617, 1087, 1519, 1002, 1434, 947, 1379, 913, 1345, 892, 1324, 879, 1311)(873, 1305, 882, 1314, 897, 1329, 921, 1353, 960, 1392, 1023, 1455, 1111, 1543, 1177, 1609, 1081, 1513, 996, 1428, 1079, 1511, 1175, 1607, 1235, 1667, 1152, 1584, 1059, 1491, 1153, 1585, 1220, 1652, 1135, 1567, 1044, 1476, 973, 1405, 929, 1361, 902, 1334, 885, 1317, 875, 1307)(880, 1312, 891, 1323, 911, 1343, 944, 1376, 997, 1429, 1051, 1483, 1143, 1575, 1227, 1659, 1163, 1595, 1068, 1500, 988, 1420, 1066, 1498, 1128, 1560, 1037, 1469, 969, 1401, 928, 1360, 971, 1403, 1041, 1473, 1132, 1564, 1093, 1525, 1007, 1439, 950, 1382, 915, 1347, 893, 1325)(883, 1315, 898, 1330, 923, 1355, 963, 1395, 1028, 1460, 1116, 1548, 1156, 1588, 1062, 1494, 984, 1416, 936, 1368, 982, 1414, 1058, 1490, 1136, 1568, 1045, 1477, 975, 1407, 1047, 1479, 1140, 1572, 1224, 1656, 1166, 1598, 1072, 1504, 1018, 1450, 957, 1389, 919, 1351, 896, 1328)(886, 1318, 901, 1333, 927, 1359, 970, 1402, 1039, 1471, 1009, 1441, 1095, 1527, 1192, 1624, 1115, 1547, 1026, 1458, 962, 1394, 1024, 1456, 1080, 1512, 995, 1427, 943, 1375, 912, 1344, 945, 1377, 999, 1431, 1084, 1516, 1141, 1573, 1049, 1481, 976, 1408, 931, 1363, 903, 1335)(889, 1321, 908, 1340, 939, 1371, 989, 1421, 1070, 1502, 1164, 1596, 1108, 1540, 1020, 1452, 958, 1390, 920, 1352, 956, 1388, 1016, 1448, 1088, 1520, 1003, 1435, 949, 1381, 1005, 1437, 1092, 1524, 1189, 1621, 1118, 1550, 1030, 1462, 1060, 1492, 983, 1415, 935, 1367, 906, 1338)(894, 1326, 914, 1346, 948, 1380, 1004, 1436, 1090, 1522, 1155, 1587, 1236, 1668, 1276, 1708, 1249, 1681, 1179, 1611, 1083, 1515, 1161, 1593, 1067, 1499, 987, 1419, 938, 1370, 909, 1341, 940, 1372, 991, 1423, 1073, 1505, 1168, 1600, 1097, 1529, 1010, 1442, 952, 1384, 916, 1348)(899, 1331, 924, 1356, 965, 1397, 1031, 1463, 1120, 1552, 1145, 1577, 1052, 1484, 978, 1410, 932, 1364, 904, 1336, 930, 1362, 974, 1406, 1046, 1478, 1138, 1570, 1107, 1539, 1201, 1633, 1259, 1691, 1266, 1698, 1214, 1646, 1131, 1563, 1113, 1545, 1025, 1457, 961, 1393, 922, 1354)(917, 1349, 951, 1383, 1008, 1440, 1094, 1526, 1190, 1622, 1246, 1678, 1280, 1712, 1290, 1722, 1284, 1716, 1254, 1686, 1188, 1620, 1247, 1679, 1178, 1610, 1082, 1514, 998, 1430, 946, 1378, 1000, 1432, 1043, 1475, 1133, 1565, 1217, 1649, 1194, 1626, 1098, 1530, 1012, 1444, 953, 1385)(925, 1357, 966, 1398, 1033, 1465, 1121, 1553, 1208, 1640, 1239, 1671, 1157, 1589, 1064, 1496, 1021, 1453, 959, 1391, 1019, 1451, 1106, 1538, 1199, 1631, 1257, 1689, 1206, 1638, 1261, 1693, 1287, 1719, 1295, 1727, 1282, 1714, 1252, 1684, 1207, 1639, 1117, 1549, 1029, 1461, 964, 1396)(933, 1365, 977, 1409, 1050, 1482, 1142, 1574, 1225, 1657, 1263, 1695, 1289, 1721, 1281, 1713, 1293, 1725, 1271, 1703, 1223, 1655, 1264, 1696, 1213, 1645, 1130, 1562, 1040, 1472, 972, 1404, 1042, 1474, 1001, 1433, 1085, 1517, 1182, 1614, 1229, 1661, 1146, 1578, 1054, 1486, 979, 1411)(941, 1373, 992, 1424, 1075, 1507, 1169, 1601, 1243, 1675, 1204, 1636, 1109, 1541, 1022, 1454, 1063, 1495, 985, 1417, 1061, 1493, 1154, 1586, 1234, 1666, 1274, 1706, 1241, 1673, 1278, 1710, 1296, 1728, 1286, 1718, 1291, 1723, 1269, 1701, 1242, 1674, 1165, 1597, 1071, 1503, 990, 1422)(954, 1386, 1011, 1443, 1069, 1501, 1162, 1594, 1233, 1665, 1150, 1582, 1231, 1663, 1272, 1704, 1292, 1724, 1285, 1717, 1256, 1688, 1209, 1641, 1125, 1557, 1187, 1619, 1091, 1523, 1006, 1438, 1074, 1506, 993, 1425, 1076, 1508, 1171, 1603, 1228, 1660, 1195, 1627, 1100, 1532, 1013, 1445)(967, 1399, 1034, 1466, 1123, 1555, 1193, 1625, 1230, 1662, 1148, 1580, 1055, 1487, 980, 1412, 1053, 1485, 1027, 1459, 1114, 1546, 1198, 1630, 1102, 1534, 1196, 1628, 1255, 1687, 1283, 1715, 1294, 1726, 1273, 1705, 1244, 1676, 1173, 1605, 1222, 1654, 1139, 1571, 1048, 1480, 1032, 1464)(1014, 1446, 1099, 1531, 1180, 1612, 1248, 1680, 1277, 1709, 1240, 1672, 1267, 1699, 1219, 1651, 1268, 1700, 1258, 1690, 1202, 1634, 1122, 1554, 1035, 1467, 1124, 1556, 1191, 1623, 1096, 1528, 1181, 1613, 1086, 1518, 1183, 1615, 1110, 1542, 1203, 1635, 1119, 1551, 1197, 1629, 1101, 1533)(1056, 1488, 1147, 1579, 1215, 1647, 1265, 1697, 1260, 1692, 1205, 1637, 1250, 1682, 1184, 1616, 1251, 1683, 1275, 1707, 1237, 1669, 1170, 1602, 1077, 1509, 1172, 1604, 1226, 1658, 1144, 1576, 1216, 1648, 1134, 1566, 1218, 1650, 1158, 1590, 1238, 1670, 1167, 1599, 1232, 1664, 1149, 1581)
	L = (1, 866)(2, 865)(3, 871)(4, 873)(5, 875)(6, 877)(7, 867)(8, 880)(9, 868)(10, 883)(11, 869)(12, 886)(13, 870)(14, 889)(15, 891)(16, 872)(17, 894)(18, 896)(19, 874)(20, 899)(21, 901)(22, 876)(23, 904)(24, 906)(25, 878)(26, 909)(27, 879)(28, 912)(29, 914)(30, 881)(31, 917)(32, 882)(33, 920)(34, 922)(35, 884)(36, 925)(37, 885)(38, 928)(39, 930)(40, 887)(41, 933)(42, 888)(43, 936)(44, 938)(45, 890)(46, 941)(47, 943)(48, 892)(49, 946)(50, 893)(51, 949)(52, 951)(53, 895)(54, 954)(55, 956)(56, 897)(57, 959)(58, 898)(59, 962)(60, 964)(61, 900)(62, 967)(63, 969)(64, 902)(65, 972)(66, 903)(67, 975)(68, 977)(69, 905)(70, 980)(71, 982)(72, 907)(73, 985)(74, 908)(75, 988)(76, 990)(77, 910)(78, 993)(79, 911)(80, 996)(81, 998)(82, 913)(83, 1001)(84, 1003)(85, 915)(86, 1006)(87, 916)(88, 1009)(89, 1011)(90, 918)(91, 1014)(92, 919)(93, 1017)(94, 1019)(95, 921)(96, 1022)(97, 1024)(98, 923)(99, 1027)(100, 924)(101, 1030)(102, 1032)(103, 926)(104, 1035)(105, 927)(106, 1038)(107, 1040)(108, 929)(109, 1043)(110, 1045)(111, 931)(112, 1048)(113, 932)(114, 1051)(115, 1053)(116, 934)(117, 1056)(118, 935)(119, 1059)(120, 1061)(121, 937)(122, 1064)(123, 1066)(124, 939)(125, 1069)(126, 940)(127, 1072)(128, 1074)(129, 942)(130, 1077)(131, 1079)(132, 944)(133, 1050)(134, 945)(135, 1083)(136, 1042)(137, 947)(138, 1086)(139, 948)(140, 1089)(141, 1091)(142, 950)(143, 1075)(144, 1039)(145, 952)(146, 1096)(147, 953)(148, 1070)(149, 1099)(150, 955)(151, 1102)(152, 1104)(153, 957)(154, 1071)(155, 958)(156, 1107)(157, 1063)(158, 960)(159, 1110)(160, 961)(161, 1112)(162, 1114)(163, 963)(164, 1054)(165, 1060)(166, 965)(167, 1119)(168, 966)(169, 1049)(170, 1122)(171, 968)(172, 1125)(173, 1127)(174, 970)(175, 1008)(176, 971)(177, 1131)(178, 1000)(179, 973)(180, 1134)(181, 974)(182, 1137)(183, 1139)(184, 976)(185, 1033)(186, 997)(187, 978)(188, 1144)(189, 979)(190, 1028)(191, 1147)(192, 981)(193, 1150)(194, 1152)(195, 983)(196, 1029)(197, 984)(198, 1155)(199, 1021)(200, 986)(201, 1158)(202, 987)(203, 1160)(204, 1162)(205, 989)(206, 1012)(207, 1018)(208, 991)(209, 1167)(210, 992)(211, 1007)(212, 1170)(213, 994)(214, 1173)(215, 995)(216, 1176)(217, 1142)(218, 1161)(219, 999)(220, 1180)(221, 1181)(222, 1002)(223, 1184)(224, 1186)(225, 1004)(226, 1154)(227, 1005)(228, 1188)(229, 1148)(230, 1129)(231, 1191)(232, 1010)(233, 1182)(234, 1193)(235, 1013)(236, 1141)(237, 1196)(238, 1015)(239, 1199)(240, 1016)(241, 1165)(242, 1138)(243, 1020)(244, 1202)(245, 1203)(246, 1023)(247, 1205)(248, 1025)(249, 1130)(250, 1026)(251, 1206)(252, 1171)(253, 1153)(254, 1197)(255, 1031)(256, 1204)(257, 1195)(258, 1034)(259, 1164)(260, 1209)(261, 1036)(262, 1178)(263, 1037)(264, 1211)(265, 1094)(266, 1113)(267, 1041)(268, 1215)(269, 1216)(270, 1044)(271, 1219)(272, 1221)(273, 1046)(274, 1106)(275, 1047)(276, 1223)(277, 1100)(278, 1081)(279, 1226)(280, 1052)(281, 1217)(282, 1228)(283, 1055)(284, 1093)(285, 1231)(286, 1057)(287, 1234)(288, 1058)(289, 1117)(290, 1090)(291, 1062)(292, 1237)(293, 1238)(294, 1065)(295, 1240)(296, 1067)(297, 1082)(298, 1068)(299, 1241)(300, 1123)(301, 1105)(302, 1232)(303, 1073)(304, 1239)(305, 1230)(306, 1076)(307, 1116)(308, 1244)(309, 1078)(310, 1213)(311, 1245)(312, 1080)(313, 1246)(314, 1126)(315, 1248)(316, 1084)(317, 1085)(318, 1097)(319, 1250)(320, 1087)(321, 1252)(322, 1088)(323, 1247)(324, 1092)(325, 1255)(326, 1225)(327, 1095)(328, 1256)(329, 1098)(330, 1243)(331, 1121)(332, 1101)(333, 1118)(334, 1257)(335, 1103)(336, 1253)(337, 1258)(338, 1108)(339, 1109)(340, 1120)(341, 1111)(342, 1115)(343, 1242)(344, 1229)(345, 1124)(346, 1262)(347, 1128)(348, 1263)(349, 1174)(350, 1265)(351, 1132)(352, 1133)(353, 1145)(354, 1267)(355, 1135)(356, 1269)(357, 1136)(358, 1264)(359, 1140)(360, 1272)(361, 1190)(362, 1143)(363, 1273)(364, 1146)(365, 1208)(366, 1169)(367, 1149)(368, 1166)(369, 1274)(370, 1151)(371, 1270)(372, 1275)(373, 1156)(374, 1157)(375, 1168)(376, 1159)(377, 1163)(378, 1207)(379, 1194)(380, 1172)(381, 1175)(382, 1177)(383, 1187)(384, 1179)(385, 1281)(386, 1183)(387, 1282)(388, 1185)(389, 1200)(390, 1283)(391, 1189)(392, 1192)(393, 1198)(394, 1201)(395, 1286)(396, 1280)(397, 1285)(398, 1210)(399, 1212)(400, 1222)(401, 1214)(402, 1290)(403, 1218)(404, 1291)(405, 1220)(406, 1235)(407, 1292)(408, 1224)(409, 1227)(410, 1233)(411, 1236)(412, 1295)(413, 1289)(414, 1294)(415, 1288)(416, 1260)(417, 1249)(418, 1251)(419, 1254)(420, 1296)(421, 1261)(422, 1259)(423, 1293)(424, 1279)(425, 1277)(426, 1266)(427, 1268)(428, 1271)(429, 1287)(430, 1278)(431, 1276)(432, 1284)(433, 1297)(434, 1298)(435, 1299)(436, 1300)(437, 1301)(438, 1302)(439, 1303)(440, 1304)(441, 1305)(442, 1306)(443, 1307)(444, 1308)(445, 1309)(446, 1310)(447, 1311)(448, 1312)(449, 1313)(450, 1314)(451, 1315)(452, 1316)(453, 1317)(454, 1318)(455, 1319)(456, 1320)(457, 1321)(458, 1322)(459, 1323)(460, 1324)(461, 1325)(462, 1326)(463, 1327)(464, 1328)(465, 1329)(466, 1330)(467, 1331)(468, 1332)(469, 1333)(470, 1334)(471, 1335)(472, 1336)(473, 1337)(474, 1338)(475, 1339)(476, 1340)(477, 1341)(478, 1342)(479, 1343)(480, 1344)(481, 1345)(482, 1346)(483, 1347)(484, 1348)(485, 1349)(486, 1350)(487, 1351)(488, 1352)(489, 1353)(490, 1354)(491, 1355)(492, 1356)(493, 1357)(494, 1358)(495, 1359)(496, 1360)(497, 1361)(498, 1362)(499, 1363)(500, 1364)(501, 1365)(502, 1366)(503, 1367)(504, 1368)(505, 1369)(506, 1370)(507, 1371)(508, 1372)(509, 1373)(510, 1374)(511, 1375)(512, 1376)(513, 1377)(514, 1378)(515, 1379)(516, 1380)(517, 1381)(518, 1382)(519, 1383)(520, 1384)(521, 1385)(522, 1386)(523, 1387)(524, 1388)(525, 1389)(526, 1390)(527, 1391)(528, 1392)(529, 1393)(530, 1394)(531, 1395)(532, 1396)(533, 1397)(534, 1398)(535, 1399)(536, 1400)(537, 1401)(538, 1402)(539, 1403)(540, 1404)(541, 1405)(542, 1406)(543, 1407)(544, 1408)(545, 1409)(546, 1410)(547, 1411)(548, 1412)(549, 1413)(550, 1414)(551, 1415)(552, 1416)(553, 1417)(554, 1418)(555, 1419)(556, 1420)(557, 1421)(558, 1422)(559, 1423)(560, 1424)(561, 1425)(562, 1426)(563, 1427)(564, 1428)(565, 1429)(566, 1430)(567, 1431)(568, 1432)(569, 1433)(570, 1434)(571, 1435)(572, 1436)(573, 1437)(574, 1438)(575, 1439)(576, 1440)(577, 1441)(578, 1442)(579, 1443)(580, 1444)(581, 1445)(582, 1446)(583, 1447)(584, 1448)(585, 1449)(586, 1450)(587, 1451)(588, 1452)(589, 1453)(590, 1454)(591, 1455)(592, 1456)(593, 1457)(594, 1458)(595, 1459)(596, 1460)(597, 1461)(598, 1462)(599, 1463)(600, 1464)(601, 1465)(602, 1466)(603, 1467)(604, 1468)(605, 1469)(606, 1470)(607, 1471)(608, 1472)(609, 1473)(610, 1474)(611, 1475)(612, 1476)(613, 1477)(614, 1478)(615, 1479)(616, 1480)(617, 1481)(618, 1482)(619, 1483)(620, 1484)(621, 1485)(622, 1486)(623, 1487)(624, 1488)(625, 1489)(626, 1490)(627, 1491)(628, 1492)(629, 1493)(630, 1494)(631, 1495)(632, 1496)(633, 1497)(634, 1498)(635, 1499)(636, 1500)(637, 1501)(638, 1502)(639, 1503)(640, 1504)(641, 1505)(642, 1506)(643, 1507)(644, 1508)(645, 1509)(646, 1510)(647, 1511)(648, 1512)(649, 1513)(650, 1514)(651, 1515)(652, 1516)(653, 1517)(654, 1518)(655, 1519)(656, 1520)(657, 1521)(658, 1522)(659, 1523)(660, 1524)(661, 1525)(662, 1526)(663, 1527)(664, 1528)(665, 1529)(666, 1530)(667, 1531)(668, 1532)(669, 1533)(670, 1534)(671, 1535)(672, 1536)(673, 1537)(674, 1538)(675, 1539)(676, 1540)(677, 1541)(678, 1542)(679, 1543)(680, 1544)(681, 1545)(682, 1546)(683, 1547)(684, 1548)(685, 1549)(686, 1550)(687, 1551)(688, 1552)(689, 1553)(690, 1554)(691, 1555)(692, 1556)(693, 1557)(694, 1558)(695, 1559)(696, 1560)(697, 1561)(698, 1562)(699, 1563)(700, 1564)(701, 1565)(702, 1566)(703, 1567)(704, 1568)(705, 1569)(706, 1570)(707, 1571)(708, 1572)(709, 1573)(710, 1574)(711, 1575)(712, 1576)(713, 1577)(714, 1578)(715, 1579)(716, 1580)(717, 1581)(718, 1582)(719, 1583)(720, 1584)(721, 1585)(722, 1586)(723, 1587)(724, 1588)(725, 1589)(726, 1590)(727, 1591)(728, 1592)(729, 1593)(730, 1594)(731, 1595)(732, 1596)(733, 1597)(734, 1598)(735, 1599)(736, 1600)(737, 1601)(738, 1602)(739, 1603)(740, 1604)(741, 1605)(742, 1606)(743, 1607)(744, 1608)(745, 1609)(746, 1610)(747, 1611)(748, 1612)(749, 1613)(750, 1614)(751, 1615)(752, 1616)(753, 1617)(754, 1618)(755, 1619)(756, 1620)(757, 1621)(758, 1622)(759, 1623)(760, 1624)(761, 1625)(762, 1626)(763, 1627)(764, 1628)(765, 1629)(766, 1630)(767, 1631)(768, 1632)(769, 1633)(770, 1634)(771, 1635)(772, 1636)(773, 1637)(774, 1638)(775, 1639)(776, 1640)(777, 1641)(778, 1642)(779, 1643)(780, 1644)(781, 1645)(782, 1646)(783, 1647)(784, 1648)(785, 1649)(786, 1650)(787, 1651)(788, 1652)(789, 1653)(790, 1654)(791, 1655)(792, 1656)(793, 1657)(794, 1658)(795, 1659)(796, 1660)(797, 1661)(798, 1662)(799, 1663)(800, 1664)(801, 1665)(802, 1666)(803, 1667)(804, 1668)(805, 1669)(806, 1670)(807, 1671)(808, 1672)(809, 1673)(810, 1674)(811, 1675)(812, 1676)(813, 1677)(814, 1678)(815, 1679)(816, 1680)(817, 1681)(818, 1682)(819, 1683)(820, 1684)(821, 1685)(822, 1686)(823, 1687)(824, 1688)(825, 1689)(826, 1690)(827, 1691)(828, 1692)(829, 1693)(830, 1694)(831, 1695)(832, 1696)(833, 1697)(834, 1698)(835, 1699)(836, 1700)(837, 1701)(838, 1702)(839, 1703)(840, 1704)(841, 1705)(842, 1706)(843, 1707)(844, 1708)(845, 1709)(846, 1710)(847, 1711)(848, 1712)(849, 1713)(850, 1714)(851, 1715)(852, 1716)(853, 1717)(854, 1718)(855, 1719)(856, 1720)(857, 1721)(858, 1722)(859, 1723)(860, 1724)(861, 1725)(862, 1726)(863, 1727)(864, 1728)
	local type(s) :: { ( 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.3278
Graph:: bipartite
	v = 234 e = 864 f = 576
	degree seq :: [ 4^216, 48^18 ]

E28.3278 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 24})
Quotient :: dipole
Aut^+ = $<432, 248>$ (small group id <432, 248>)
Aut   = $<864, 2225>$ (small group id <864, 2225>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^3, (R * Y1)^2, (Y3 * Y1)^2, (R * Y3)^2, (Y3 * Y1^-2)^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1^-1 * Y3^3 * Y1 * Y3^-1 * Y1 * Y3^-4 * Y1, Y3^-2 * Y1^-1 * Y3^2 * Y1^-1 * Y3^2 * Y1^-1 * Y3^-8, Y3^5 * Y1^-1 * Y3^-2 * Y1 * Y3^2 * Y1 * Y3^-2 * Y1^-1 * Y3^3, (Y3 * Y2^-1)^24 ]
Map:: polytopal
	R = (1, 433, 2, 434, 4, 436)(3, 435, 8, 440, 10, 442)(5, 437, 12, 444, 6, 438)(7, 439, 15, 447, 11, 443)(9, 441, 18, 450, 20, 452)(13, 445, 25, 457, 23, 455)(14, 446, 24, 456, 28, 460)(16, 448, 31, 463, 29, 461)(17, 449, 33, 465, 21, 453)(19, 451, 36, 468, 38, 470)(22, 454, 30, 462, 42, 474)(26, 458, 47, 479, 45, 477)(27, 459, 49, 481, 51, 483)(32, 464, 57, 489, 55, 487)(34, 466, 61, 493, 59, 491)(35, 467, 63, 495, 39, 471)(37, 469, 66, 498, 68, 500)(40, 472, 60, 492, 72, 504)(41, 473, 73, 505, 75, 507)(43, 475, 46, 478, 78, 510)(44, 476, 79, 511, 52, 484)(48, 480, 85, 517, 83, 515)(50, 482, 88, 520, 90, 522)(53, 485, 56, 488, 94, 526)(54, 486, 95, 527, 76, 508)(58, 490, 101, 533, 99, 531)(62, 494, 107, 539, 105, 537)(64, 496, 111, 543, 109, 541)(65, 497, 113, 545, 69, 501)(67, 499, 116, 548, 118, 550)(70, 502, 110, 542, 122, 554)(71, 503, 123, 555, 125, 557)(74, 506, 128, 560, 130, 562)(77, 509, 133, 565, 135, 567)(80, 512, 139, 571, 137, 569)(81, 513, 84, 516, 142, 574)(82, 514, 143, 575, 136, 568)(86, 518, 149, 581, 147, 579)(87, 519, 151, 583, 91, 523)(89, 521, 154, 586, 156, 588)(92, 524, 138, 570, 160, 592)(93, 525, 161, 593, 163, 595)(96, 528, 167, 599, 165, 597)(97, 529, 100, 532, 170, 602)(98, 530, 171, 603, 164, 596)(102, 534, 177, 609, 175, 607)(103, 535, 106, 538, 180, 612)(104, 536, 181, 613, 126, 558)(108, 540, 187, 619, 185, 617)(112, 544, 173, 605, 176, 608)(114, 546, 194, 626, 193, 625)(115, 547, 162, 594, 119, 551)(117, 549, 198, 630, 200, 632)(120, 552, 159, 591, 203, 635)(121, 553, 204, 636, 206, 638)(124, 556, 157, 589, 153, 585)(127, 559, 205, 637, 131, 563)(129, 561, 214, 646, 216, 648)(132, 564, 166, 598, 219, 651)(134, 566, 217, 649, 213, 645)(140, 572, 183, 615, 186, 618)(141, 573, 227, 659, 229, 661)(144, 576, 174, 606, 230, 662)(145, 577, 148, 580, 168, 600)(146, 578, 233, 665, 182, 614)(150, 582, 238, 670, 236, 668)(152, 584, 241, 673, 240, 672)(155, 587, 245, 677, 247, 679)(158, 590, 218, 650, 250, 682)(169, 601, 258, 690, 260, 692)(172, 604, 184, 616, 261, 693)(178, 610, 268, 700, 266, 698)(179, 611, 270, 702, 272, 704)(188, 620, 279, 711, 277, 709)(189, 621, 191, 623, 282, 714)(190, 622, 231, 663, 207, 639)(192, 624, 284, 716, 263, 695)(195, 627, 276, 708, 278, 710)(196, 628, 289, 721, 253, 685)(197, 629, 271, 703, 201, 633)(199, 631, 293, 725, 295, 727)(202, 634, 297, 729, 299, 731)(208, 640, 298, 730, 210, 642)(209, 641, 243, 675, 306, 738)(211, 643, 273, 705, 307, 739)(212, 644, 308, 740, 301, 733)(215, 647, 312, 744, 314, 746)(220, 652, 316, 748, 222, 654)(221, 653, 310, 742, 319, 751)(223, 655, 225, 657, 322, 754)(224, 656, 262, 694, 251, 683)(226, 658, 324, 756, 274, 706)(228, 660, 248, 680, 244, 676)(232, 664, 257, 689, 332, 764)(234, 666, 323, 755, 333, 765)(235, 667, 237, 669, 242, 674)(239, 671, 338, 770, 336, 768)(246, 678, 346, 778, 347, 779)(249, 681, 294, 726, 320, 752)(252, 684, 349, 781, 254, 686)(255, 687, 256, 688, 354, 786)(259, 691, 315, 747, 311, 743)(264, 696, 355, 787, 329, 761)(265, 697, 267, 699, 309, 741)(269, 701, 365, 797, 363, 795)(275, 707, 283, 715, 339, 771)(280, 712, 373, 805, 371, 803)(281, 713, 374, 806, 375, 807)(285, 717, 348, 780, 345, 777)(286, 718, 287, 719, 378, 810)(288, 720, 379, 811, 369, 801)(290, 722, 360, 792, 376, 808)(291, 723, 334, 766, 342, 774)(292, 724, 356, 788, 296, 728)(300, 732, 352, 784, 302, 734)(303, 735, 330, 762, 359, 791)(304, 736, 386, 818, 383, 815)(305, 737, 362, 794, 364, 796)(313, 745, 391, 823, 384, 816)(317, 749, 394, 826, 393, 825)(318, 750, 370, 802, 372, 804)(321, 753, 396, 828, 397, 829)(325, 757, 392, 824, 390, 822)(326, 758, 382, 814, 328, 760)(327, 759, 344, 776, 361, 793)(331, 763, 395, 827, 389, 821)(335, 767, 337, 769, 351, 783)(340, 772, 341, 773, 401, 833)(343, 775, 368, 800, 387, 819)(350, 782, 405, 837, 404, 836)(353, 785, 406, 838, 407, 839)(357, 789, 403, 835, 358, 790)(366, 798, 409, 841, 367, 799)(377, 809, 414, 846, 415, 847)(380, 812, 398, 830, 408, 840)(381, 813, 402, 834, 399, 831)(385, 817, 388, 820, 411, 843)(400, 832, 421, 853, 422, 854)(410, 842, 426, 858, 425, 857)(412, 844, 423, 855, 413, 845)(416, 848, 417, 849, 420, 852)(418, 850, 419, 851, 424, 856)(427, 859, 430, 862, 432, 864)(428, 860, 431, 863, 429, 861)(865, 1297)(866, 1298)(867, 1299)(868, 1300)(869, 1301)(870, 1302)(871, 1303)(872, 1304)(873, 1305)(874, 1306)(875, 1307)(876, 1308)(877, 1309)(878, 1310)(879, 1311)(880, 1312)(881, 1313)(882, 1314)(883, 1315)(884, 1316)(885, 1317)(886, 1318)(887, 1319)(888, 1320)(889, 1321)(890, 1322)(891, 1323)(892, 1324)(893, 1325)(894, 1326)(895, 1327)(896, 1328)(897, 1329)(898, 1330)(899, 1331)(900, 1332)(901, 1333)(902, 1334)(903, 1335)(904, 1336)(905, 1337)(906, 1338)(907, 1339)(908, 1340)(909, 1341)(910, 1342)(911, 1343)(912, 1344)(913, 1345)(914, 1346)(915, 1347)(916, 1348)(917, 1349)(918, 1350)(919, 1351)(920, 1352)(921, 1353)(922, 1354)(923, 1355)(924, 1356)(925, 1357)(926, 1358)(927, 1359)(928, 1360)(929, 1361)(930, 1362)(931, 1363)(932, 1364)(933, 1365)(934, 1366)(935, 1367)(936, 1368)(937, 1369)(938, 1370)(939, 1371)(940, 1372)(941, 1373)(942, 1374)(943, 1375)(944, 1376)(945, 1377)(946, 1378)(947, 1379)(948, 1380)(949, 1381)(950, 1382)(951, 1383)(952, 1384)(953, 1385)(954, 1386)(955, 1387)(956, 1388)(957, 1389)(958, 1390)(959, 1391)(960, 1392)(961, 1393)(962, 1394)(963, 1395)(964, 1396)(965, 1397)(966, 1398)(967, 1399)(968, 1400)(969, 1401)(970, 1402)(971, 1403)(972, 1404)(973, 1405)(974, 1406)(975, 1407)(976, 1408)(977, 1409)(978, 1410)(979, 1411)(980, 1412)(981, 1413)(982, 1414)(983, 1415)(984, 1416)(985, 1417)(986, 1418)(987, 1419)(988, 1420)(989, 1421)(990, 1422)(991, 1423)(992, 1424)(993, 1425)(994, 1426)(995, 1427)(996, 1428)(997, 1429)(998, 1430)(999, 1431)(1000, 1432)(1001, 1433)(1002, 1434)(1003, 1435)(1004, 1436)(1005, 1437)(1006, 1438)(1007, 1439)(1008, 1440)(1009, 1441)(1010, 1442)(1011, 1443)(1012, 1444)(1013, 1445)(1014, 1446)(1015, 1447)(1016, 1448)(1017, 1449)(1018, 1450)(1019, 1451)(1020, 1452)(1021, 1453)(1022, 1454)(1023, 1455)(1024, 1456)(1025, 1457)(1026, 1458)(1027, 1459)(1028, 1460)(1029, 1461)(1030, 1462)(1031, 1463)(1032, 1464)(1033, 1465)(1034, 1466)(1035, 1467)(1036, 1468)(1037, 1469)(1038, 1470)(1039, 1471)(1040, 1472)(1041, 1473)(1042, 1474)(1043, 1475)(1044, 1476)(1045, 1477)(1046, 1478)(1047, 1479)(1048, 1480)(1049, 1481)(1050, 1482)(1051, 1483)(1052, 1484)(1053, 1485)(1054, 1486)(1055, 1487)(1056, 1488)(1057, 1489)(1058, 1490)(1059, 1491)(1060, 1492)(1061, 1493)(1062, 1494)(1063, 1495)(1064, 1496)(1065, 1497)(1066, 1498)(1067, 1499)(1068, 1500)(1069, 1501)(1070, 1502)(1071, 1503)(1072, 1504)(1073, 1505)(1074, 1506)(1075, 1507)(1076, 1508)(1077, 1509)(1078, 1510)(1079, 1511)(1080, 1512)(1081, 1513)(1082, 1514)(1083, 1515)(1084, 1516)(1085, 1517)(1086, 1518)(1087, 1519)(1088, 1520)(1089, 1521)(1090, 1522)(1091, 1523)(1092, 1524)(1093, 1525)(1094, 1526)(1095, 1527)(1096, 1528)(1097, 1529)(1098, 1530)(1099, 1531)(1100, 1532)(1101, 1533)(1102, 1534)(1103, 1535)(1104, 1536)(1105, 1537)(1106, 1538)(1107, 1539)(1108, 1540)(1109, 1541)(1110, 1542)(1111, 1543)(1112, 1544)(1113, 1545)(1114, 1546)(1115, 1547)(1116, 1548)(1117, 1549)(1118, 1550)(1119, 1551)(1120, 1552)(1121, 1553)(1122, 1554)(1123, 1555)(1124, 1556)(1125, 1557)(1126, 1558)(1127, 1559)(1128, 1560)(1129, 1561)(1130, 1562)(1131, 1563)(1132, 1564)(1133, 1565)(1134, 1566)(1135, 1567)(1136, 1568)(1137, 1569)(1138, 1570)(1139, 1571)(1140, 1572)(1141, 1573)(1142, 1574)(1143, 1575)(1144, 1576)(1145, 1577)(1146, 1578)(1147, 1579)(1148, 1580)(1149, 1581)(1150, 1582)(1151, 1583)(1152, 1584)(1153, 1585)(1154, 1586)(1155, 1587)(1156, 1588)(1157, 1589)(1158, 1590)(1159, 1591)(1160, 1592)(1161, 1593)(1162, 1594)(1163, 1595)(1164, 1596)(1165, 1597)(1166, 1598)(1167, 1599)(1168, 1600)(1169, 1601)(1170, 1602)(1171, 1603)(1172, 1604)(1173, 1605)(1174, 1606)(1175, 1607)(1176, 1608)(1177, 1609)(1178, 1610)(1179, 1611)(1180, 1612)(1181, 1613)(1182, 1614)(1183, 1615)(1184, 1616)(1185, 1617)(1186, 1618)(1187, 1619)(1188, 1620)(1189, 1621)(1190, 1622)(1191, 1623)(1192, 1624)(1193, 1625)(1194, 1626)(1195, 1627)(1196, 1628)(1197, 1629)(1198, 1630)(1199, 1631)(1200, 1632)(1201, 1633)(1202, 1634)(1203, 1635)(1204, 1636)(1205, 1637)(1206, 1638)(1207, 1639)(1208, 1640)(1209, 1641)(1210, 1642)(1211, 1643)(1212, 1644)(1213, 1645)(1214, 1646)(1215, 1647)(1216, 1648)(1217, 1649)(1218, 1650)(1219, 1651)(1220, 1652)(1221, 1653)(1222, 1654)(1223, 1655)(1224, 1656)(1225, 1657)(1226, 1658)(1227, 1659)(1228, 1660)(1229, 1661)(1230, 1662)(1231, 1663)(1232, 1664)(1233, 1665)(1234, 1666)(1235, 1667)(1236, 1668)(1237, 1669)(1238, 1670)(1239, 1671)(1240, 1672)(1241, 1673)(1242, 1674)(1243, 1675)(1244, 1676)(1245, 1677)(1246, 1678)(1247, 1679)(1248, 1680)(1249, 1681)(1250, 1682)(1251, 1683)(1252, 1684)(1253, 1685)(1254, 1686)(1255, 1687)(1256, 1688)(1257, 1689)(1258, 1690)(1259, 1691)(1260, 1692)(1261, 1693)(1262, 1694)(1263, 1695)(1264, 1696)(1265, 1697)(1266, 1698)(1267, 1699)(1268, 1700)(1269, 1701)(1270, 1702)(1271, 1703)(1272, 1704)(1273, 1705)(1274, 1706)(1275, 1707)(1276, 1708)(1277, 1709)(1278, 1710)(1279, 1711)(1280, 1712)(1281, 1713)(1282, 1714)(1283, 1715)(1284, 1716)(1285, 1717)(1286, 1718)(1287, 1719)(1288, 1720)(1289, 1721)(1290, 1722)(1291, 1723)(1292, 1724)(1293, 1725)(1294, 1726)(1295, 1727)(1296, 1728)
	L = (1, 867)(2, 870)(3, 873)(4, 875)(5, 865)(6, 878)(7, 866)(8, 868)(9, 883)(10, 885)(11, 886)(12, 887)(13, 869)(14, 891)(15, 893)(16, 871)(17, 872)(18, 874)(19, 901)(20, 903)(21, 904)(22, 905)(23, 907)(24, 876)(25, 909)(26, 877)(27, 914)(28, 916)(29, 917)(30, 879)(31, 919)(32, 880)(33, 923)(34, 881)(35, 882)(36, 884)(37, 931)(38, 933)(39, 934)(40, 935)(41, 938)(42, 940)(43, 941)(44, 888)(45, 945)(46, 889)(47, 947)(48, 890)(49, 892)(50, 953)(51, 955)(52, 956)(53, 957)(54, 894)(55, 961)(56, 895)(57, 963)(58, 896)(59, 967)(60, 897)(61, 969)(62, 898)(63, 973)(64, 899)(65, 900)(66, 902)(67, 981)(68, 983)(69, 984)(70, 985)(71, 988)(72, 990)(73, 906)(74, 993)(75, 995)(76, 996)(77, 998)(78, 1000)(79, 1001)(80, 908)(81, 1005)(82, 910)(83, 1009)(84, 911)(85, 1011)(86, 912)(87, 913)(88, 915)(89, 1019)(90, 1021)(91, 1022)(92, 1023)(93, 1026)(94, 1028)(95, 1029)(96, 918)(97, 1033)(98, 920)(99, 1037)(100, 921)(101, 1039)(102, 922)(103, 1043)(104, 924)(105, 1047)(106, 925)(107, 1049)(108, 926)(109, 1053)(110, 927)(111, 1040)(112, 928)(113, 1057)(114, 929)(115, 930)(116, 932)(117, 1063)(118, 1065)(119, 1027)(120, 1066)(121, 1069)(122, 1071)(123, 936)(124, 1073)(125, 1074)(126, 1075)(127, 937)(128, 939)(129, 1079)(130, 1081)(131, 1070)(132, 1082)(133, 942)(134, 1085)(135, 1086)(136, 1054)(137, 1087)(138, 943)(139, 1050)(140, 944)(141, 1092)(142, 1046)(143, 1094)(144, 946)(145, 1096)(146, 948)(147, 1099)(148, 949)(149, 1100)(150, 950)(151, 1104)(152, 951)(153, 952)(154, 954)(155, 1110)(156, 1112)(157, 989)(158, 1113)(159, 977)(160, 1115)(161, 958)(162, 1117)(163, 1118)(164, 1088)(165, 1119)(166, 959)(167, 1012)(168, 960)(169, 1123)(170, 1008)(171, 1125)(172, 962)(173, 1127)(174, 964)(175, 1129)(176, 965)(177, 1130)(178, 966)(179, 1135)(180, 1036)(181, 1097)(182, 968)(183, 1138)(184, 970)(185, 1140)(186, 971)(187, 1141)(188, 972)(189, 1145)(190, 974)(191, 975)(192, 976)(193, 1150)(194, 1142)(195, 978)(196, 979)(197, 980)(198, 982)(199, 1158)(200, 1160)(201, 1136)(202, 1162)(203, 1024)(204, 986)(205, 1165)(206, 1166)(207, 1167)(208, 987)(209, 1169)(210, 1163)(211, 1030)(212, 991)(213, 992)(214, 994)(215, 1177)(216, 1179)(217, 999)(218, 1015)(219, 1171)(220, 997)(221, 1182)(222, 1184)(223, 1185)(224, 1002)(225, 1003)(226, 1004)(227, 1006)(228, 1191)(229, 1192)(230, 1193)(231, 1007)(232, 1195)(233, 1197)(234, 1010)(235, 1198)(236, 1199)(237, 1013)(238, 1200)(239, 1014)(240, 1204)(241, 1101)(242, 1016)(243, 1017)(244, 1018)(245, 1020)(246, 1164)(247, 1212)(248, 1093)(249, 1180)(250, 1083)(251, 1194)(252, 1025)(253, 1215)(254, 1216)(255, 1217)(256, 1031)(257, 1032)(258, 1034)(259, 1152)(260, 1222)(261, 1203)(262, 1035)(263, 1224)(264, 1038)(265, 1225)(266, 1226)(267, 1041)(268, 1227)(269, 1042)(270, 1044)(271, 1206)(272, 1231)(273, 1045)(274, 1232)(275, 1048)(276, 1233)(277, 1234)(278, 1051)(279, 1235)(280, 1052)(281, 1220)(282, 1139)(283, 1055)(284, 1209)(285, 1056)(286, 1241)(287, 1058)(288, 1059)(289, 1240)(290, 1060)(291, 1061)(292, 1062)(293, 1064)(294, 1114)(295, 1246)(296, 1239)(297, 1067)(298, 1247)(299, 1248)(300, 1068)(301, 1249)(302, 1213)(303, 1137)(304, 1072)(305, 1214)(306, 1251)(307, 1223)(308, 1131)(309, 1076)(310, 1077)(311, 1078)(312, 1080)(313, 1161)(314, 1256)(315, 1124)(316, 1257)(317, 1084)(318, 1168)(319, 1259)(320, 1159)(321, 1149)(322, 1098)(323, 1089)(324, 1254)(325, 1090)(326, 1091)(327, 1173)(328, 1157)(329, 1144)(330, 1095)(331, 1262)(332, 1156)(333, 1133)(334, 1263)(335, 1153)(336, 1151)(337, 1102)(338, 1147)(339, 1103)(340, 1264)(341, 1105)(342, 1106)(343, 1107)(344, 1108)(345, 1109)(346, 1111)(347, 1267)(348, 1261)(349, 1268)(350, 1116)(351, 1181)(352, 1211)(353, 1189)(354, 1128)(355, 1120)(356, 1121)(357, 1122)(358, 1210)(359, 1126)(360, 1272)(361, 1245)(362, 1170)(363, 1205)(364, 1132)(365, 1187)(366, 1134)(367, 1255)(368, 1244)(369, 1266)(370, 1183)(371, 1252)(372, 1143)(373, 1219)(374, 1146)(375, 1277)(376, 1148)(377, 1190)(378, 1202)(379, 1175)(380, 1154)(381, 1155)(382, 1279)(383, 1280)(384, 1273)(385, 1274)(386, 1236)(387, 1188)(388, 1172)(389, 1174)(390, 1176)(391, 1178)(392, 1271)(393, 1282)(394, 1201)(395, 1196)(396, 1186)(397, 1281)(398, 1207)(399, 1243)(400, 1221)(401, 1229)(402, 1208)(403, 1286)(404, 1287)(405, 1228)(406, 1218)(407, 1283)(408, 1253)(409, 1289)(410, 1230)(411, 1237)(412, 1238)(413, 1269)(414, 1242)(415, 1293)(416, 1291)(417, 1250)(418, 1294)(419, 1258)(420, 1260)(421, 1265)(422, 1292)(423, 1296)(424, 1270)(425, 1295)(426, 1275)(427, 1276)(428, 1278)(429, 1290)(430, 1284)(431, 1285)(432, 1288)(433, 1297)(434, 1298)(435, 1299)(436, 1300)(437, 1301)(438, 1302)(439, 1303)(440, 1304)(441, 1305)(442, 1306)(443, 1307)(444, 1308)(445, 1309)(446, 1310)(447, 1311)(448, 1312)(449, 1313)(450, 1314)(451, 1315)(452, 1316)(453, 1317)(454, 1318)(455, 1319)(456, 1320)(457, 1321)(458, 1322)(459, 1323)(460, 1324)(461, 1325)(462, 1326)(463, 1327)(464, 1328)(465, 1329)(466, 1330)(467, 1331)(468, 1332)(469, 1333)(470, 1334)(471, 1335)(472, 1336)(473, 1337)(474, 1338)(475, 1339)(476, 1340)(477, 1341)(478, 1342)(479, 1343)(480, 1344)(481, 1345)(482, 1346)(483, 1347)(484, 1348)(485, 1349)(486, 1350)(487, 1351)(488, 1352)(489, 1353)(490, 1354)(491, 1355)(492, 1356)(493, 1357)(494, 1358)(495, 1359)(496, 1360)(497, 1361)(498, 1362)(499, 1363)(500, 1364)(501, 1365)(502, 1366)(503, 1367)(504, 1368)(505, 1369)(506, 1370)(507, 1371)(508, 1372)(509, 1373)(510, 1374)(511, 1375)(512, 1376)(513, 1377)(514, 1378)(515, 1379)(516, 1380)(517, 1381)(518, 1382)(519, 1383)(520, 1384)(521, 1385)(522, 1386)(523, 1387)(524, 1388)(525, 1389)(526, 1390)(527, 1391)(528, 1392)(529, 1393)(530, 1394)(531, 1395)(532, 1396)(533, 1397)(534, 1398)(535, 1399)(536, 1400)(537, 1401)(538, 1402)(539, 1403)(540, 1404)(541, 1405)(542, 1406)(543, 1407)(544, 1408)(545, 1409)(546, 1410)(547, 1411)(548, 1412)(549, 1413)(550, 1414)(551, 1415)(552, 1416)(553, 1417)(554, 1418)(555, 1419)(556, 1420)(557, 1421)(558, 1422)(559, 1423)(560, 1424)(561, 1425)(562, 1426)(563, 1427)(564, 1428)(565, 1429)(566, 1430)(567, 1431)(568, 1432)(569, 1433)(570, 1434)(571, 1435)(572, 1436)(573, 1437)(574, 1438)(575, 1439)(576, 1440)(577, 1441)(578, 1442)(579, 1443)(580, 1444)(581, 1445)(582, 1446)(583, 1447)(584, 1448)(585, 1449)(586, 1450)(587, 1451)(588, 1452)(589, 1453)(590, 1454)(591, 1455)(592, 1456)(593, 1457)(594, 1458)(595, 1459)(596, 1460)(597, 1461)(598, 1462)(599, 1463)(600, 1464)(601, 1465)(602, 1466)(603, 1467)(604, 1468)(605, 1469)(606, 1470)(607, 1471)(608, 1472)(609, 1473)(610, 1474)(611, 1475)(612, 1476)(613, 1477)(614, 1478)(615, 1479)(616, 1480)(617, 1481)(618, 1482)(619, 1483)(620, 1484)(621, 1485)(622, 1486)(623, 1487)(624, 1488)(625, 1489)(626, 1490)(627, 1491)(628, 1492)(629, 1493)(630, 1494)(631, 1495)(632, 1496)(633, 1497)(634, 1498)(635, 1499)(636, 1500)(637, 1501)(638, 1502)(639, 1503)(640, 1504)(641, 1505)(642, 1506)(643, 1507)(644, 1508)(645, 1509)(646, 1510)(647, 1511)(648, 1512)(649, 1513)(650, 1514)(651, 1515)(652, 1516)(653, 1517)(654, 1518)(655, 1519)(656, 1520)(657, 1521)(658, 1522)(659, 1523)(660, 1524)(661, 1525)(662, 1526)(663, 1527)(664, 1528)(665, 1529)(666, 1530)(667, 1531)(668, 1532)(669, 1533)(670, 1534)(671, 1535)(672, 1536)(673, 1537)(674, 1538)(675, 1539)(676, 1540)(677, 1541)(678, 1542)(679, 1543)(680, 1544)(681, 1545)(682, 1546)(683, 1547)(684, 1548)(685, 1549)(686, 1550)(687, 1551)(688, 1552)(689, 1553)(690, 1554)(691, 1555)(692, 1556)(693, 1557)(694, 1558)(695, 1559)(696, 1560)(697, 1561)(698, 1562)(699, 1563)(700, 1564)(701, 1565)(702, 1566)(703, 1567)(704, 1568)(705, 1569)(706, 1570)(707, 1571)(708, 1572)(709, 1573)(710, 1574)(711, 1575)(712, 1576)(713, 1577)(714, 1578)(715, 1579)(716, 1580)(717, 1581)(718, 1582)(719, 1583)(720, 1584)(721, 1585)(722, 1586)(723, 1587)(724, 1588)(725, 1589)(726, 1590)(727, 1591)(728, 1592)(729, 1593)(730, 1594)(731, 1595)(732, 1596)(733, 1597)(734, 1598)(735, 1599)(736, 1600)(737, 1601)(738, 1602)(739, 1603)(740, 1604)(741, 1605)(742, 1606)(743, 1607)(744, 1608)(745, 1609)(746, 1610)(747, 1611)(748, 1612)(749, 1613)(750, 1614)(751, 1615)(752, 1616)(753, 1617)(754, 1618)(755, 1619)(756, 1620)(757, 1621)(758, 1622)(759, 1623)(760, 1624)(761, 1625)(762, 1626)(763, 1627)(764, 1628)(765, 1629)(766, 1630)(767, 1631)(768, 1632)(769, 1633)(770, 1634)(771, 1635)(772, 1636)(773, 1637)(774, 1638)(775, 1639)(776, 1640)(777, 1641)(778, 1642)(779, 1643)(780, 1644)(781, 1645)(782, 1646)(783, 1647)(784, 1648)(785, 1649)(786, 1650)(787, 1651)(788, 1652)(789, 1653)(790, 1654)(791, 1655)(792, 1656)(793, 1657)(794, 1658)(795, 1659)(796, 1660)(797, 1661)(798, 1662)(799, 1663)(800, 1664)(801, 1665)(802, 1666)(803, 1667)(804, 1668)(805, 1669)(806, 1670)(807, 1671)(808, 1672)(809, 1673)(810, 1674)(811, 1675)(812, 1676)(813, 1677)(814, 1678)(815, 1679)(816, 1680)(817, 1681)(818, 1682)(819, 1683)(820, 1684)(821, 1685)(822, 1686)(823, 1687)(824, 1688)(825, 1689)(826, 1690)(827, 1691)(828, 1692)(829, 1693)(830, 1694)(831, 1695)(832, 1696)(833, 1697)(834, 1698)(835, 1699)(836, 1700)(837, 1701)(838, 1702)(839, 1703)(840, 1704)(841, 1705)(842, 1706)(843, 1707)(844, 1708)(845, 1709)(846, 1710)(847, 1711)(848, 1712)(849, 1713)(850, 1714)(851, 1715)(852, 1716)(853, 1717)(854, 1718)(855, 1719)(856, 1720)(857, 1721)(858, 1722)(859, 1723)(860, 1724)(861, 1725)(862, 1726)(863, 1727)(864, 1728)
	local type(s) :: { ( 4, 48 ), ( 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E28.3277
Graph:: simple bipartite
	v = 576 e = 864 f = 234
	degree seq :: [ 2^432, 6^144 ]

E28.3279 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 3, 18})
Quotient :: regular
Aut^+ = ((C3 x ((C3 x C3) : C3)) : C3) : C2 (small group id <486, 5>)
Aut   = $<972, 100>$ (small group id <972, 100>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^3, T1^4 * T2 * T1^-6 * T2 * T1^2, T2 * T1 * T2 * T1^-4 * T2 * T1^-4 * T2 * T1 * T2 * T1^-3, (T1 * T2 * T1^-2 * T2 * T1)^3, T1^18, T2 * T1 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^3 * T2 * T1^-2 * T2 * T1^-3 * T2 * T1^-3, T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-2 * T2 * T1 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 21, 37, 63, 105, 166, 248, 247, 165, 104, 62, 36, 20, 10, 4)(3, 7, 15, 27, 47, 79, 106, 168, 250, 344, 294, 200, 150, 91, 54, 31, 17, 8)(6, 13, 25, 43, 73, 121, 167, 131, 201, 295, 246, 164, 103, 130, 78, 46, 26, 14)(9, 18, 32, 55, 92, 108, 64, 107, 169, 251, 225, 149, 218, 142, 86, 51, 29, 16)(12, 23, 41, 69, 115, 178, 249, 187, 278, 245, 163, 101, 61, 102, 120, 72, 42, 24)(19, 34, 58, 97, 110, 66, 38, 65, 109, 170, 253, 217, 315, 236, 157, 96, 57, 33)(22, 39, 67, 111, 173, 257, 343, 265, 242, 161, 99, 59, 35, 60, 100, 114, 68, 40)(28, 49, 83, 136, 208, 303, 227, 151, 226, 324, 224, 147, 90, 148, 213, 139, 84, 50)(30, 52, 87, 143, 203, 133, 80, 132, 202, 293, 198, 129, 199, 287, 193, 125, 75, 44)(45, 76, 126, 194, 280, 189, 122, 188, 279, 373, 276, 186, 277, 368, 271, 182, 117, 70)(48, 81, 134, 204, 298, 383, 433, 399, 321, 222, 145, 88, 53, 89, 146, 207, 135, 82)(56, 94, 154, 230, 328, 346, 252, 172, 256, 350, 313, 215, 141, 216, 314, 233, 155, 95)(71, 118, 183, 272, 361, 267, 179, 266, 360, 341, 244, 162, 243, 340, 355, 261, 175, 112)(74, 123, 190, 281, 376, 456, 391, 297, 388, 291, 196, 127, 77, 128, 197, 284, 191, 124)(85, 140, 214, 311, 229, 153, 93, 152, 228, 325, 407, 310, 345, 434, 405, 307, 210, 137)(98, 159, 239, 336, 349, 255, 171, 113, 176, 262, 356, 333, 235, 258, 351, 338, 240, 160)(116, 180, 268, 362, 450, 432, 342, 375, 460, 371, 274, 184, 119, 185, 275, 365, 269, 181)(138, 211, 273, 370, 458, 401, 304, 400, 449, 364, 323, 223, 322, 416, 444, 395, 300, 205)(144, 220, 318, 412, 437, 392, 296, 206, 301, 396, 445, 381, 286, 382, 469, 414, 319, 221)(156, 234, 332, 426, 335, 238, 158, 237, 334, 427, 436, 348, 254, 347, 435, 424, 330, 231)(174, 259, 352, 439, 430, 337, 241, 339, 431, 447, 358, 263, 177, 264, 359, 442, 353, 260)(192, 285, 357, 446, 411, 317, 219, 316, 410, 441, 390, 292, 389, 474, 429, 466, 378, 282)(195, 289, 386, 471, 421, 463, 374, 283, 379, 312, 409, 454, 367, 455, 419, 326, 232, 290)(209, 305, 402, 440, 354, 443, 417, 327, 420, 457, 369, 308, 212, 309, 406, 448, 403, 306)(270, 366, 438, 428, 470, 385, 288, 384, 331, 425, 462, 372, 461, 423, 329, 422, 452, 363)(299, 393, 451, 484, 480, 413, 320, 415, 459, 486, 476, 397, 302, 398, 453, 485, 475, 394)(377, 464, 481, 477, 404, 472, 387, 473, 483, 479, 408, 467, 380, 468, 482, 478, 418, 465)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 13)(10, 19)(11, 22)(14, 23)(15, 28)(17, 30)(18, 33)(20, 35)(21, 38)(24, 39)(25, 44)(26, 45)(27, 48)(29, 49)(31, 53)(32, 56)(34, 59)(36, 61)(37, 64)(40, 65)(41, 70)(42, 71)(43, 74)(46, 77)(47, 80)(50, 81)(51, 85)(52, 88)(54, 90)(55, 93)(57, 94)(58, 98)(60, 101)(62, 103)(63, 106)(66, 107)(67, 112)(68, 113)(69, 116)(72, 119)(73, 122)(75, 123)(76, 127)(78, 129)(79, 131)(82, 132)(83, 137)(84, 138)(86, 141)(87, 144)(89, 147)(91, 149)(92, 151)(95, 152)(96, 156)(97, 158)(99, 159)(100, 162)(102, 164)(104, 150)(105, 167)(108, 168)(109, 171)(110, 172)(111, 174)(114, 177)(115, 179)(117, 180)(118, 184)(120, 186)(121, 187)(124, 188)(125, 192)(126, 195)(128, 198)(130, 200)(133, 201)(134, 205)(135, 206)(136, 209)(139, 212)(140, 215)(142, 217)(143, 219)(145, 220)(146, 223)(148, 225)(153, 226)(154, 231)(155, 232)(157, 235)(160, 237)(161, 241)(163, 243)(165, 218)(166, 249)(169, 252)(170, 254)(173, 258)(175, 259)(176, 263)(178, 265)(181, 266)(182, 270)(183, 273)(185, 276)(189, 278)(190, 282)(191, 283)(193, 286)(194, 288)(196, 289)(197, 292)(199, 294)(202, 296)(203, 297)(204, 299)(207, 302)(208, 304)(210, 305)(211, 308)(213, 310)(214, 312)(216, 253)(221, 316)(222, 320)(224, 322)(227, 250)(228, 326)(229, 327)(230, 329)(233, 331)(234, 333)(236, 257)(238, 256)(239, 337)(240, 319)(242, 267)(244, 264)(245, 342)(246, 277)(247, 315)(248, 343)(251, 345)(255, 347)(260, 351)(261, 354)(262, 357)(268, 363)(269, 364)(271, 367)(272, 369)(274, 370)(275, 372)(279, 374)(280, 375)(281, 377)(284, 380)(285, 381)(287, 383)(290, 384)(291, 387)(293, 389)(295, 391)(298, 382)(300, 393)(301, 397)(303, 399)(306, 400)(307, 404)(309, 407)(311, 408)(313, 409)(314, 348)(317, 388)(318, 413)(321, 401)(323, 398)(324, 417)(325, 418)(328, 421)(330, 422)(332, 396)(334, 414)(335, 428)(336, 429)(338, 410)(339, 361)(340, 432)(341, 403)(344, 433)(346, 434)(349, 437)(350, 438)(352, 440)(353, 441)(355, 444)(356, 445)(358, 446)(359, 448)(360, 449)(362, 451)(365, 453)(366, 454)(368, 456)(371, 459)(373, 461)(376, 455)(378, 464)(379, 467)(385, 460)(386, 472)(390, 468)(392, 474)(394, 469)(395, 450)(402, 477)(405, 471)(406, 478)(411, 473)(412, 435)(415, 458)(416, 443)(419, 465)(420, 479)(423, 463)(424, 480)(425, 436)(426, 476)(427, 475)(430, 466)(431, 457)(439, 481)(442, 482)(447, 483)(452, 484)(462, 485)(470, 486)
	local type(s) :: { ( 3^18 ) }
Outer automorphisms :: reflexible
Dual of E28.3280
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 27 e = 243 f = 162
	degree seq :: [ 18^27 ]

E28.3280 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 3, 18})
Quotient :: regular
Aut^+ = ((C3 x ((C3 x C3) : C3)) : C3) : C2 (small group id <486, 5>)
Aut   = $<972, 100>$ (small group id <972, 100>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^3, (F * T1)^2, (F * T2)^2, (T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1)^3, T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1, (T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1)^3, T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 4)(3, 6, 7)(5, 9, 10)(8, 13, 14)(11, 17, 18)(12, 19, 20)(15, 23, 24)(16, 25, 26)(21, 31, 32)(22, 33, 34)(27, 39, 40)(28, 41, 42)(29, 43, 44)(30, 45, 46)(35, 51, 52)(36, 53, 54)(37, 55, 56)(38, 57, 58)(47, 67, 68)(48, 69, 70)(49, 71, 72)(50, 73, 74)(59, 83, 84)(60, 85, 86)(61, 87, 88)(62, 89, 90)(63, 91, 92)(64, 93, 94)(65, 95, 96)(66, 97, 98)(75, 107, 108)(76, 109, 110)(77, 111, 112)(78, 113, 114)(79, 115, 116)(80, 117, 118)(81, 119, 120)(82, 121, 122)(99, 139, 140)(100, 141, 142)(101, 143, 144)(102, 145, 146)(103, 147, 148)(104, 149, 150)(105, 151, 152)(106, 153, 154)(123, 171, 172)(124, 173, 174)(125, 175, 176)(126, 177, 178)(127, 179, 180)(128, 181, 182)(129, 183, 184)(130, 185, 186)(131, 187, 188)(132, 189, 190)(133, 191, 192)(134, 193, 194)(135, 195, 196)(136, 197, 198)(137, 199, 200)(138, 201, 202)(155, 316, 467)(156, 317, 445)(157, 319, 261)(158, 321, 384)(159, 322, 399)(160, 299, 465)(161, 236, 409)(162, 325, 223)(163, 247, 420)(164, 327, 356)(165, 329, 470)(166, 331, 423)(167, 332, 458)(168, 333, 296)(169, 323, 297)(170, 335, 251)(203, 367, 475)(204, 298, 457)(205, 340, 245)(206, 343, 388)(207, 368, 345)(208, 324, 471)(209, 241, 416)(210, 370, 225)(211, 253, 425)(212, 372, 473)(213, 374, 464)(214, 376, 434)(215, 362, 365)(216, 363, 318)(217, 369, 320)(218, 364, 262)(219, 311, 315)(220, 275, 279)(221, 291, 295)(222, 259, 263)(224, 243, 246)(226, 389, 390)(227, 249, 252)(228, 393, 342)(229, 233, 238)(230, 360, 394)(231, 269, 272)(232, 401, 403)(234, 406, 402)(235, 285, 288)(237, 326, 336)(239, 412, 344)(240, 305, 308)(242, 371, 378)(244, 334, 410)(248, 300, 304)(250, 377, 417)(254, 405, 358)(255, 427, 391)(256, 428, 430)(257, 431, 292)(258, 268, 284)(260, 303, 422)(264, 349, 436)(265, 350, 381)(266, 438, 353)(267, 440, 312)(270, 441, 429)(271, 351, 443)(273, 444, 361)(274, 414, 447)(276, 283, 432)(277, 339, 449)(278, 294, 314)(280, 396, 448)(281, 452, 385)(282, 454, 450)(286, 455, 439)(287, 383, 456)(289, 446, 379)(290, 398, 354)(293, 460, 461)(301, 386, 433)(302, 462, 395)(306, 442, 348)(307, 387, 468)(309, 459, 380)(310, 407, 469)(313, 463, 366)(328, 392, 418)(330, 359, 404)(337, 437, 453)(338, 476, 426)(341, 373, 382)(346, 466, 472)(347, 480, 481)(352, 477, 479)(355, 397, 483)(357, 478, 482)(375, 451, 411)(400, 408, 415)(413, 484, 474)(419, 424, 435)(421, 485, 486)
	L = (1, 3)(2, 5)(4, 8)(6, 11)(7, 12)(9, 15)(10, 16)(13, 21)(14, 22)(17, 27)(18, 28)(19, 29)(20, 30)(23, 35)(24, 36)(25, 37)(26, 38)(31, 47)(32, 48)(33, 49)(34, 50)(39, 59)(40, 60)(41, 61)(42, 62)(43, 63)(44, 64)(45, 65)(46, 66)(51, 75)(52, 76)(53, 77)(54, 78)(55, 79)(56, 80)(57, 81)(58, 82)(67, 99)(68, 100)(69, 101)(70, 102)(71, 103)(72, 104)(73, 105)(74, 106)(83, 123)(84, 124)(85, 125)(86, 126)(87, 127)(88, 128)(89, 129)(90, 130)(91, 131)(92, 132)(93, 133)(94, 134)(95, 135)(96, 136)(97, 137)(98, 138)(107, 155)(108, 156)(109, 157)(110, 158)(111, 159)(112, 160)(113, 161)(114, 162)(115, 163)(116, 164)(117, 165)(118, 166)(119, 167)(120, 168)(121, 169)(122, 170)(139, 203)(140, 204)(141, 205)(142, 206)(143, 207)(144, 208)(145, 209)(146, 210)(147, 211)(148, 212)(149, 213)(150, 214)(151, 215)(152, 216)(153, 217)(154, 218)(171, 337)(172, 338)(173, 339)(174, 309)(175, 255)(176, 312)(177, 342)(178, 291)(179, 344)(180, 240)(181, 346)(182, 348)(183, 226)(184, 349)(185, 350)(186, 351)(187, 352)(188, 353)(189, 285)(190, 354)(191, 257)(192, 357)(193, 358)(194, 360)(195, 361)(196, 274)(197, 286)(198, 282)(199, 219)(200, 366)(201, 287)(202, 294)(220, 323)(221, 369)(222, 381)(223, 383)(224, 385)(225, 387)(227, 391)(228, 236)(229, 395)(230, 397)(231, 399)(232, 241)(233, 404)(234, 347)(235, 345)(237, 254)(238, 411)(239, 413)(242, 264)(243, 407)(244, 293)(245, 292)(246, 419)(247, 421)(248, 280)(249, 414)(250, 313)(251, 314)(252, 424)(253, 426)(256, 296)(258, 301)(259, 398)(260, 277)(261, 276)(262, 278)(263, 435)(265, 319)(266, 318)(267, 329)(268, 328)(269, 372)(270, 363)(271, 364)(272, 375)(273, 445)(275, 388)(279, 451)(281, 340)(283, 374)(284, 373)(288, 302)(289, 457)(290, 458)(295, 462)(297, 449)(298, 463)(299, 466)(300, 415)(303, 455)(304, 446)(305, 327)(306, 333)(307, 335)(308, 330)(310, 365)(311, 384)(315, 359)(316, 437)(317, 460)(320, 461)(321, 403)(322, 394)(324, 472)(325, 452)(326, 400)(331, 436)(332, 379)(334, 442)(336, 459)(341, 438)(343, 390)(355, 443)(356, 469)(362, 380)(367, 453)(368, 402)(370, 427)(371, 408)(376, 448)(377, 441)(378, 444)(382, 389)(386, 393)(392, 401)(396, 409)(405, 416)(406, 423)(410, 431)(412, 434)(417, 440)(418, 428)(420, 450)(422, 432)(425, 430)(429, 465)(433, 454)(439, 471)(447, 473)(456, 481)(464, 482)(467, 477)(468, 474)(470, 478)(475, 485)(476, 480)(479, 484)(483, 486)
	local type(s) :: { ( 18^3 ) }
Outer automorphisms :: reflexible
Dual of E28.3279
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 162 e = 243 f = 27
	degree seq :: [ 3^162 ]

E28.3281 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 18})
Quotient :: edge
Aut^+ = ((C3 x ((C3 x C3) : C3)) : C3) : C2 (small group id <486, 5>)
Aut   = $<972, 100>$ (small group id <972, 100>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^3, (F * T1)^2, (F * T2)^2, (T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2)^3, T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1, (T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1)^3, T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 ]
Map:: polytopal
	R = (1, 3, 4)(2, 5, 6)(7, 11, 12)(8, 13, 14)(9, 15, 16)(10, 17, 18)(19, 27, 28)(20, 29, 30)(21, 31, 32)(22, 33, 34)(23, 35, 36)(24, 37, 38)(25, 39, 40)(26, 41, 42)(43, 59, 60)(44, 61, 62)(45, 63, 64)(46, 65, 66)(47, 67, 68)(48, 69, 70)(49, 71, 72)(50, 73, 74)(51, 75, 76)(52, 77, 78)(53, 79, 80)(54, 81, 82)(55, 83, 84)(56, 85, 86)(57, 87, 88)(58, 89, 90)(91, 123, 124)(92, 125, 126)(93, 127, 128)(94, 129, 130)(95, 131, 132)(96, 133, 134)(97, 135, 136)(98, 137, 138)(99, 139, 140)(100, 141, 142)(101, 143, 144)(102, 145, 146)(103, 147, 148)(104, 149, 150)(105, 151, 152)(106, 153, 154)(107, 155, 156)(108, 157, 158)(109, 159, 160)(110, 161, 162)(111, 163, 164)(112, 165, 166)(113, 167, 168)(114, 169, 170)(115, 171, 172)(116, 173, 174)(117, 175, 176)(118, 177, 178)(119, 179, 180)(120, 181, 182)(121, 183, 184)(122, 185, 186)(187, 220, 223)(188, 238, 239)(189, 331, 333)(190, 335, 336)(191, 340, 430)(192, 341, 431)(193, 343, 436)(194, 344, 353)(195, 241, 251)(196, 345, 438)(197, 347, 440)(198, 349, 355)(199, 350, 445)(200, 351, 358)(201, 352, 362)(202, 277, 305)(203, 224, 226)(204, 252, 253)(205, 354, 446)(206, 356, 448)(207, 357, 447)(208, 359, 449)(209, 361, 455)(210, 306, 278)(211, 243, 256)(212, 363, 458)(213, 365, 461)(214, 309, 279)(215, 367, 391)(216, 313, 280)(217, 321, 282)(218, 339, 369)(219, 221, 222)(225, 227, 228)(229, 232, 233)(230, 234, 235)(231, 236, 237)(240, 249, 250)(242, 254, 255)(244, 257, 258)(245, 259, 260)(246, 261, 262)(247, 263, 264)(248, 265, 266)(267, 285, 286)(268, 287, 288)(269, 289, 290)(270, 291, 292)(271, 293, 294)(272, 295, 296)(273, 297, 298)(274, 299, 300)(275, 301, 302)(276, 303, 304)(281, 315, 317)(283, 323, 325)(284, 327, 329)(307, 377, 386)(308, 387, 389)(310, 392, 393)(311, 372, 371)(312, 395, 396)(314, 397, 399)(316, 402, 404)(318, 403, 407)(319, 408, 409)(320, 373, 374)(322, 405, 411)(324, 412, 413)(326, 410, 414)(328, 416, 418)(330, 421, 422)(332, 424, 425)(334, 426, 428)(337, 380, 381)(338, 370, 368)(342, 432, 435)(346, 437, 439)(348, 441, 444)(360, 450, 453)(364, 456, 459)(366, 462, 465)(375, 382, 383)(376, 384, 385)(378, 401, 406)(379, 415, 420)(388, 466, 468)(390, 467, 469)(394, 470, 471)(398, 473, 475)(400, 474, 476)(417, 477, 479)(419, 478, 480)(423, 460, 481)(427, 454, 482)(429, 457, 483)(433, 472, 434)(442, 484, 443)(451, 485, 452)(463, 486, 464)(487, 488)(489, 493)(490, 494)(491, 495)(492, 496)(497, 505)(498, 506)(499, 507)(500, 508)(501, 509)(502, 510)(503, 511)(504, 512)(513, 529)(514, 530)(515, 531)(516, 532)(517, 533)(518, 534)(519, 535)(520, 536)(521, 537)(522, 538)(523, 539)(524, 540)(525, 541)(526, 542)(527, 543)(528, 544)(545, 577)(546, 578)(547, 579)(548, 580)(549, 581)(550, 582)(551, 583)(552, 584)(553, 585)(554, 586)(555, 587)(556, 588)(557, 589)(558, 590)(559, 591)(560, 592)(561, 593)(562, 594)(563, 595)(564, 596)(565, 597)(566, 598)(567, 599)(568, 600)(569, 601)(570, 602)(571, 603)(572, 604)(573, 605)(574, 606)(575, 607)(576, 608)(609, 673)(610, 674)(611, 675)(612, 676)(613, 677)(614, 678)(615, 679)(616, 680)(617, 681)(618, 682)(619, 683)(620, 684)(621, 685)(622, 686)(623, 687)(624, 688)(625, 689)(626, 690)(627, 691)(628, 692)(629, 693)(630, 694)(631, 695)(632, 696)(633, 697)(634, 698)(635, 699)(636, 700)(637, 701)(638, 702)(639, 703)(640, 704)(641, 708)(642, 716)(643, 761)(644, 762)(645, 793)(646, 794)(647, 796)(648, 797)(649, 746)(650, 798)(651, 800)(652, 802)(653, 804)(654, 805)(655, 806)(656, 772)(657, 714)(658, 732)(659, 808)(660, 810)(661, 812)(662, 814)(663, 816)(664, 773)(665, 752)(666, 818)(667, 820)(668, 775)(669, 823)(670, 777)(671, 781)(672, 824)(705, 706)(707, 710)(709, 711)(712, 715)(713, 717)(718, 726)(719, 727)(720, 728)(721, 729)(722, 730)(723, 731)(724, 733)(725, 734)(735, 753)(736, 754)(737, 755)(738, 756)(739, 757)(740, 758)(741, 759)(742, 760)(743, 763)(744, 764)(745, 765)(747, 766)(748, 767)(749, 768)(750, 769)(751, 770)(771, 825)(774, 826)(776, 828)(778, 832)(779, 834)(780, 836)(782, 839)(783, 841)(784, 843)(785, 844)(786, 846)(787, 848)(788, 850)(789, 852)(790, 853)(791, 856)(792, 863)(795, 874)(799, 880)(801, 884)(803, 889)(807, 857)(809, 890)(811, 896)(813, 895)(815, 903)(817, 860)(819, 909)(821, 913)(822, 866)(827, 883)(829, 878)(830, 861)(831, 881)(833, 873)(835, 894)(837, 888)(838, 862)(840, 869)(842, 893)(845, 885)(847, 940)(849, 943)(851, 946)(854, 855)(858, 864)(859, 865)(867, 920)(868, 929)(870, 934)(871, 938)(872, 950)(875, 925)(876, 877)(879, 921)(882, 958)(886, 887)(891, 892)(897, 933)(898, 931)(899, 901)(900, 932)(902, 926)(904, 947)(905, 906)(907, 948)(908, 941)(910, 949)(911, 944)(912, 942)(914, 935)(915, 916)(917, 957)(918, 959)(919, 960)(922, 954)(923, 956)(924, 955)(927, 952)(928, 953)(930, 963)(936, 961)(937, 962)(939, 968)(945, 967)(951, 965)(964, 970)(966, 972)(969, 971)
	L = (1, 487)(2, 488)(3, 489)(4, 490)(5, 491)(6, 492)(7, 493)(8, 494)(9, 495)(10, 496)(11, 497)(12, 498)(13, 499)(14, 500)(15, 501)(16, 502)(17, 503)(18, 504)(19, 505)(20, 506)(21, 507)(22, 508)(23, 509)(24, 510)(25, 511)(26, 512)(27, 513)(28, 514)(29, 515)(30, 516)(31, 517)(32, 518)(33, 519)(34, 520)(35, 521)(36, 522)(37, 523)(38, 524)(39, 525)(40, 526)(41, 527)(42, 528)(43, 529)(44, 530)(45, 531)(46, 532)(47, 533)(48, 534)(49, 535)(50, 536)(51, 537)(52, 538)(53, 539)(54, 540)(55, 541)(56, 542)(57, 543)(58, 544)(59, 545)(60, 546)(61, 547)(62, 548)(63, 549)(64, 550)(65, 551)(66, 552)(67, 553)(68, 554)(69, 555)(70, 556)(71, 557)(72, 558)(73, 559)(74, 560)(75, 561)(76, 562)(77, 563)(78, 564)(79, 565)(80, 566)(81, 567)(82, 568)(83, 569)(84, 570)(85, 571)(86, 572)(87, 573)(88, 574)(89, 575)(90, 576)(91, 577)(92, 578)(93, 579)(94, 580)(95, 581)(96, 582)(97, 583)(98, 584)(99, 585)(100, 586)(101, 587)(102, 588)(103, 589)(104, 590)(105, 591)(106, 592)(107, 593)(108, 594)(109, 595)(110, 596)(111, 597)(112, 598)(113, 599)(114, 600)(115, 601)(116, 602)(117, 603)(118, 604)(119, 605)(120, 606)(121, 607)(122, 608)(123, 609)(124, 610)(125, 611)(126, 612)(127, 613)(128, 614)(129, 615)(130, 616)(131, 617)(132, 618)(133, 619)(134, 620)(135, 621)(136, 622)(137, 623)(138, 624)(139, 625)(140, 626)(141, 627)(142, 628)(143, 629)(144, 630)(145, 631)(146, 632)(147, 633)(148, 634)(149, 635)(150, 636)(151, 637)(152, 638)(153, 639)(154, 640)(155, 641)(156, 642)(157, 643)(158, 644)(159, 645)(160, 646)(161, 647)(162, 648)(163, 649)(164, 650)(165, 651)(166, 652)(167, 653)(168, 654)(169, 655)(170, 656)(171, 657)(172, 658)(173, 659)(174, 660)(175, 661)(176, 662)(177, 663)(178, 664)(179, 665)(180, 666)(181, 667)(182, 668)(183, 669)(184, 670)(185, 671)(186, 672)(187, 673)(188, 674)(189, 675)(190, 676)(191, 677)(192, 678)(193, 679)(194, 680)(195, 681)(196, 682)(197, 683)(198, 684)(199, 685)(200, 686)(201, 687)(202, 688)(203, 689)(204, 690)(205, 691)(206, 692)(207, 693)(208, 694)(209, 695)(210, 696)(211, 697)(212, 698)(213, 699)(214, 700)(215, 701)(216, 702)(217, 703)(218, 704)(219, 705)(220, 706)(221, 707)(222, 708)(223, 709)(224, 710)(225, 711)(226, 712)(227, 713)(228, 714)(229, 715)(230, 716)(231, 717)(232, 718)(233, 719)(234, 720)(235, 721)(236, 722)(237, 723)(238, 724)(239, 725)(240, 726)(241, 727)(242, 728)(243, 729)(244, 730)(245, 731)(246, 732)(247, 733)(248, 734)(249, 735)(250, 736)(251, 737)(252, 738)(253, 739)(254, 740)(255, 741)(256, 742)(257, 743)(258, 744)(259, 745)(260, 746)(261, 747)(262, 748)(263, 749)(264, 750)(265, 751)(266, 752)(267, 753)(268, 754)(269, 755)(270, 756)(271, 757)(272, 758)(273, 759)(274, 760)(275, 761)(276, 762)(277, 763)(278, 764)(279, 765)(280, 766)(281, 767)(282, 768)(283, 769)(284, 770)(285, 771)(286, 772)(287, 773)(288, 774)(289, 775)(290, 776)(291, 777)(292, 778)(293, 779)(294, 780)(295, 781)(296, 782)(297, 783)(298, 784)(299, 785)(300, 786)(301, 787)(302, 788)(303, 789)(304, 790)(305, 791)(306, 792)(307, 793)(308, 794)(309, 795)(310, 796)(311, 797)(312, 798)(313, 799)(314, 800)(315, 801)(316, 802)(317, 803)(318, 804)(319, 805)(320, 806)(321, 807)(322, 808)(323, 809)(324, 810)(325, 811)(326, 812)(327, 813)(328, 814)(329, 815)(330, 816)(331, 817)(332, 818)(333, 819)(334, 820)(335, 821)(336, 822)(337, 823)(338, 824)(339, 825)(340, 826)(341, 827)(342, 828)(343, 829)(344, 830)(345, 831)(346, 832)(347, 833)(348, 834)(349, 835)(350, 836)(351, 837)(352, 838)(353, 839)(354, 840)(355, 841)(356, 842)(357, 843)(358, 844)(359, 845)(360, 846)(361, 847)(362, 848)(363, 849)(364, 850)(365, 851)(366, 852)(367, 853)(368, 854)(369, 855)(370, 856)(371, 857)(372, 858)(373, 859)(374, 860)(375, 861)(376, 862)(377, 863)(378, 864)(379, 865)(380, 866)(381, 867)(382, 868)(383, 869)(384, 870)(385, 871)(386, 872)(387, 873)(388, 874)(389, 875)(390, 876)(391, 877)(392, 878)(393, 879)(394, 880)(395, 881)(396, 882)(397, 883)(398, 884)(399, 885)(400, 886)(401, 887)(402, 888)(403, 889)(404, 890)(405, 891)(406, 892)(407, 893)(408, 894)(409, 895)(410, 896)(411, 897)(412, 898)(413, 899)(414, 900)(415, 901)(416, 902)(417, 903)(418, 904)(419, 905)(420, 906)(421, 907)(422, 908)(423, 909)(424, 910)(425, 911)(426, 912)(427, 913)(428, 914)(429, 915)(430, 916)(431, 917)(432, 918)(433, 919)(434, 920)(435, 921)(436, 922)(437, 923)(438, 924)(439, 925)(440, 926)(441, 927)(442, 928)(443, 929)(444, 930)(445, 931)(446, 932)(447, 933)(448, 934)(449, 935)(450, 936)(451, 937)(452, 938)(453, 939)(454, 940)(455, 941)(456, 942)(457, 943)(458, 944)(459, 945)(460, 946)(461, 947)(462, 948)(463, 949)(464, 950)(465, 951)(466, 952)(467, 953)(468, 954)(469, 955)(470, 956)(471, 957)(472, 958)(473, 959)(474, 960)(475, 961)(476, 962)(477, 963)(478, 964)(479, 965)(480, 966)(481, 967)(482, 968)(483, 969)(484, 970)(485, 971)(486, 972)
	local type(s) :: { ( 36, 36 ), ( 36^3 ) }
Outer automorphisms :: reflexible
Dual of E28.3285
Transitivity :: ET+
Graph:: simple bipartite
	v = 405 e = 486 f = 27
	degree seq :: [ 2^243, 3^162 ]

E28.3282 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 18})
Quotient :: edge
Aut^+ = ((C3 x ((C3 x C3) : C3)) : C3) : C2 (small group id <486, 5>)
Aut   = $<972, 100>$ (small group id <972, 100>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T2 * T1)^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1 * T2 * T1^-1, T2^2 * T1^-1 * T2^-7 * T1^-1 * T2^3, (T2^3 * T1^-1 * T2)^3, T2^-1 * T1 * T2^-1 * T1 * T2^-5 * T1 * T2 * T1^-1 * T2^4 * T1^-1, T2^2 * T1^-1 * T2^2 * T1^-1 * T2^-2 * T1 * T2^-2 * T1 * T2^-3 * T1^-1 * T2 * T1^-1, T2 * T1^-1 * T2^-2 * T1 * T2^2 * T1^-1 * T2^-3 * T1^-1 * T2 * T1^-1 * T2^-3 * T1^-1, T2 * T1^-1 * T2^-2 * T1 * T2^-2 * T1 * T2^2 * T1^-1 * T2^2 * T1^-1 * T2^3 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 19, 37, 67, 117, 202, 316, 406, 285, 177, 150, 86, 48, 26, 13, 5)(2, 6, 14, 27, 50, 89, 155, 118, 204, 317, 298, 187, 178, 102, 58, 32, 16, 7)(4, 11, 22, 41, 74, 129, 203, 156, 256, 366, 248, 149, 188, 108, 62, 34, 17, 8)(10, 21, 40, 71, 124, 214, 221, 130, 222, 247, 148, 85, 147, 194, 112, 64, 35, 18)(12, 23, 43, 77, 134, 201, 116, 68, 119, 205, 176, 101, 175, 236, 140, 80, 44, 24)(15, 29, 53, 93, 162, 255, 154, 90, 157, 257, 186, 107, 185, 274, 168, 96, 54, 30)(20, 39, 70, 121, 209, 324, 330, 215, 246, 146, 84, 47, 83, 145, 198, 114, 65, 36)(25, 45, 81, 141, 200, 115, 66, 38, 69, 120, 206, 235, 354, 361, 243, 144, 82, 46)(28, 52, 92, 159, 261, 382, 315, 228, 284, 174, 100, 57, 99, 173, 252, 152, 87, 49)(31, 55, 97, 169, 254, 153, 88, 51, 91, 158, 258, 273, 396, 403, 281, 172, 98, 56)(33, 59, 103, 179, 287, 220, 128, 75, 131, 223, 306, 193, 305, 416, 293, 182, 104, 60)(42, 76, 132, 224, 340, 444, 375, 266, 297, 184, 106, 61, 105, 183, 294, 219, 127, 73)(63, 109, 189, 299, 421, 329, 213, 125, 216, 331, 429, 311, 244, 362, 422, 302, 190, 110)(72, 126, 217, 332, 438, 365, 337, 409, 425, 304, 192, 111, 191, 303, 423, 328, 212, 123)(78, 136, 230, 347, 431, 313, 199, 312, 430, 353, 234, 139, 233, 320, 435, 344, 226, 133)(79, 137, 231, 349, 446, 345, 227, 135, 229, 346, 447, 371, 282, 318, 433, 352, 232, 138)(94, 164, 268, 389, 455, 373, 253, 372, 454, 395, 272, 167, 271, 378, 459, 386, 264, 161)(95, 165, 269, 391, 461, 387, 265, 163, 267, 388, 462, 417, 295, 376, 457, 394, 270, 166)(113, 195, 307, 392, 360, 242, 323, 210, 325, 385, 355, 237, 142, 239, 357, 426, 308, 196)(122, 211, 326, 393, 364, 245, 363, 450, 474, 428, 310, 197, 309, 427, 473, 436, 322, 208)(143, 240, 358, 449, 475, 432, 314, 238, 356, 448, 476, 434, 319, 207, 321, 390, 359, 241)(151, 249, 367, 300, 402, 280, 381, 262, 383, 327, 397, 275, 170, 277, 399, 451, 368, 250)(160, 263, 384, 301, 405, 283, 404, 465, 480, 453, 370, 251, 369, 452, 479, 460, 380, 260)(171, 278, 400, 464, 481, 456, 374, 276, 398, 463, 482, 458, 377, 259, 379, 333, 401, 279)(180, 289, 411, 468, 440, 335, 218, 334, 439, 350, 415, 292, 414, 341, 445, 343, 407, 286)(181, 290, 412, 469, 483, 466, 408, 288, 410, 467, 484, 472, 424, 338, 442, 348, 413, 291)(225, 342, 437, 351, 420, 296, 419, 471, 486, 477, 441, 336, 418, 470, 485, 478, 443, 339)(487, 488, 490)(489, 494, 496)(491, 498, 492)(493, 501, 497)(495, 504, 506)(499, 511, 509)(500, 510, 514)(502, 517, 515)(503, 519, 507)(505, 522, 524)(508, 516, 528)(512, 533, 531)(513, 535, 537)(518, 543, 541)(520, 547, 545)(521, 549, 525)(523, 552, 554)(526, 546, 558)(527, 559, 561)(529, 532, 564)(530, 565, 538)(534, 571, 569)(536, 574, 576)(539, 542, 580)(540, 581, 562)(544, 587, 585)(548, 593, 591)(550, 597, 595)(551, 599, 555)(553, 602, 604)(556, 596, 608)(557, 609, 611)(560, 614, 616)(563, 619, 621)(566, 625, 623)(567, 570, 628)(568, 629, 622)(572, 635, 633)(573, 637, 577)(575, 640, 642)(578, 624, 646)(579, 647, 649)(582, 653, 651)(583, 586, 656)(584, 657, 650)(588, 663, 661)(589, 592, 666)(590, 667, 612)(594, 673, 671)(598, 679, 677)(600, 683, 681)(601, 685, 605)(603, 641, 689)(606, 682, 693)(607, 694, 696)(610, 699, 701)(613, 704, 617)(615, 707, 688)(618, 652, 711)(620, 713, 714)(626, 721, 719)(627, 723, 724)(630, 728, 726)(631, 634, 730)(632, 731, 725)(636, 664, 674)(638, 737, 735)(639, 739, 643)(644, 736, 745)(645, 746, 748)(648, 751, 752)(654, 759, 757)(655, 761, 762)(658, 766, 764)(659, 662, 768)(660, 769, 763)(665, 772, 774)(668, 778, 776)(669, 672, 781)(670, 782, 775)(675, 678, 786)(676, 787, 697)(680, 734, 791)(684, 797, 795)(686, 800, 798)(687, 801, 690)(691, 799, 804)(692, 805, 806)(695, 809, 729)(698, 813, 702)(700, 816, 802)(703, 777, 819)(705, 822, 820)(706, 823, 708)(709, 821, 824)(710, 825, 827)(712, 829, 715)(716, 727, 834)(717, 720, 836)(718, 837, 749)(722, 771, 840)(732, 815, 849)(733, 851, 848)(738, 857, 855)(740, 860, 858)(741, 861, 742)(743, 859, 862)(744, 863, 864)(747, 867, 767)(750, 871, 753)(754, 765, 876)(755, 758, 878)(756, 879, 828)(760, 784, 882)(770, 831, 890)(773, 894, 895)(779, 826, 900)(780, 903, 904)(783, 873, 905)(785, 853, 856)(788, 885, 891)(789, 792, 910)(790, 886, 888)(793, 796, 877)(794, 875, 807)(803, 868, 889)(808, 874, 811)(810, 847, 892)(812, 870, 923)(814, 884, 883)(817, 869, 866)(818, 865, 854)(830, 896, 893)(832, 931, 929)(833, 928, 926)(835, 925, 927)(838, 897, 906)(839, 898, 901)(841, 872, 842)(843, 850, 880)(844, 846, 881)(845, 887, 899)(852, 930, 902)(907, 939, 936)(908, 924, 937)(909, 958, 949)(911, 952, 950)(912, 943, 941)(913, 915, 946)(914, 957, 947)(916, 918, 955)(917, 954, 919)(920, 953, 921)(922, 956, 948)(932, 963, 951)(933, 964, 938)(934, 945, 944)(935, 940, 942)(959, 965, 971)(960, 966, 972)(961, 967, 969)(962, 968, 970)
	L = (1, 487)(2, 488)(3, 489)(4, 490)(5, 491)(6, 492)(7, 493)(8, 494)(9, 495)(10, 496)(11, 497)(12, 498)(13, 499)(14, 500)(15, 501)(16, 502)(17, 503)(18, 504)(19, 505)(20, 506)(21, 507)(22, 508)(23, 509)(24, 510)(25, 511)(26, 512)(27, 513)(28, 514)(29, 515)(30, 516)(31, 517)(32, 518)(33, 519)(34, 520)(35, 521)(36, 522)(37, 523)(38, 524)(39, 525)(40, 526)(41, 527)(42, 528)(43, 529)(44, 530)(45, 531)(46, 532)(47, 533)(48, 534)(49, 535)(50, 536)(51, 537)(52, 538)(53, 539)(54, 540)(55, 541)(56, 542)(57, 543)(58, 544)(59, 545)(60, 546)(61, 547)(62, 548)(63, 549)(64, 550)(65, 551)(66, 552)(67, 553)(68, 554)(69, 555)(70, 556)(71, 557)(72, 558)(73, 559)(74, 560)(75, 561)(76, 562)(77, 563)(78, 564)(79, 565)(80, 566)(81, 567)(82, 568)(83, 569)(84, 570)(85, 571)(86, 572)(87, 573)(88, 574)(89, 575)(90, 576)(91, 577)(92, 578)(93, 579)(94, 580)(95, 581)(96, 582)(97, 583)(98, 584)(99, 585)(100, 586)(101, 587)(102, 588)(103, 589)(104, 590)(105, 591)(106, 592)(107, 593)(108, 594)(109, 595)(110, 596)(111, 597)(112, 598)(113, 599)(114, 600)(115, 601)(116, 602)(117, 603)(118, 604)(119, 605)(120, 606)(121, 607)(122, 608)(123, 609)(124, 610)(125, 611)(126, 612)(127, 613)(128, 614)(129, 615)(130, 616)(131, 617)(132, 618)(133, 619)(134, 620)(135, 621)(136, 622)(137, 623)(138, 624)(139, 625)(140, 626)(141, 627)(142, 628)(143, 629)(144, 630)(145, 631)(146, 632)(147, 633)(148, 634)(149, 635)(150, 636)(151, 637)(152, 638)(153, 639)(154, 640)(155, 641)(156, 642)(157, 643)(158, 644)(159, 645)(160, 646)(161, 647)(162, 648)(163, 649)(164, 650)(165, 651)(166, 652)(167, 653)(168, 654)(169, 655)(170, 656)(171, 657)(172, 658)(173, 659)(174, 660)(175, 661)(176, 662)(177, 663)(178, 664)(179, 665)(180, 666)(181, 667)(182, 668)(183, 669)(184, 670)(185, 671)(186, 672)(187, 673)(188, 674)(189, 675)(190, 676)(191, 677)(192, 678)(193, 679)(194, 680)(195, 681)(196, 682)(197, 683)(198, 684)(199, 685)(200, 686)(201, 687)(202, 688)(203, 689)(204, 690)(205, 691)(206, 692)(207, 693)(208, 694)(209, 695)(210, 696)(211, 697)(212, 698)(213, 699)(214, 700)(215, 701)(216, 702)(217, 703)(218, 704)(219, 705)(220, 706)(221, 707)(222, 708)(223, 709)(224, 710)(225, 711)(226, 712)(227, 713)(228, 714)(229, 715)(230, 716)(231, 717)(232, 718)(233, 719)(234, 720)(235, 721)(236, 722)(237, 723)(238, 724)(239, 725)(240, 726)(241, 727)(242, 728)(243, 729)(244, 730)(245, 731)(246, 732)(247, 733)(248, 734)(249, 735)(250, 736)(251, 737)(252, 738)(253, 739)(254, 740)(255, 741)(256, 742)(257, 743)(258, 744)(259, 745)(260, 746)(261, 747)(262, 748)(263, 749)(264, 750)(265, 751)(266, 752)(267, 753)(268, 754)(269, 755)(270, 756)(271, 757)(272, 758)(273, 759)(274, 760)(275, 761)(276, 762)(277, 763)(278, 764)(279, 765)(280, 766)(281, 767)(282, 768)(283, 769)(284, 770)(285, 771)(286, 772)(287, 773)(288, 774)(289, 775)(290, 776)(291, 777)(292, 778)(293, 779)(294, 780)(295, 781)(296, 782)(297, 783)(298, 784)(299, 785)(300, 786)(301, 787)(302, 788)(303, 789)(304, 790)(305, 791)(306, 792)(307, 793)(308, 794)(309, 795)(310, 796)(311, 797)(312, 798)(313, 799)(314, 800)(315, 801)(316, 802)(317, 803)(318, 804)(319, 805)(320, 806)(321, 807)(322, 808)(323, 809)(324, 810)(325, 811)(326, 812)(327, 813)(328, 814)(329, 815)(330, 816)(331, 817)(332, 818)(333, 819)(334, 820)(335, 821)(336, 822)(337, 823)(338, 824)(339, 825)(340, 826)(341, 827)(342, 828)(343, 829)(344, 830)(345, 831)(346, 832)(347, 833)(348, 834)(349, 835)(350, 836)(351, 837)(352, 838)(353, 839)(354, 840)(355, 841)(356, 842)(357, 843)(358, 844)(359, 845)(360, 846)(361, 847)(362, 848)(363, 849)(364, 850)(365, 851)(366, 852)(367, 853)(368, 854)(369, 855)(370, 856)(371, 857)(372, 858)(373, 859)(374, 860)(375, 861)(376, 862)(377, 863)(378, 864)(379, 865)(380, 866)(381, 867)(382, 868)(383, 869)(384, 870)(385, 871)(386, 872)(387, 873)(388, 874)(389, 875)(390, 876)(391, 877)(392, 878)(393, 879)(394, 880)(395, 881)(396, 882)(397, 883)(398, 884)(399, 885)(400, 886)(401, 887)(402, 888)(403, 889)(404, 890)(405, 891)(406, 892)(407, 893)(408, 894)(409, 895)(410, 896)(411, 897)(412, 898)(413, 899)(414, 900)(415, 901)(416, 902)(417, 903)(418, 904)(419, 905)(420, 906)(421, 907)(422, 908)(423, 909)(424, 910)(425, 911)(426, 912)(427, 913)(428, 914)(429, 915)(430, 916)(431, 917)(432, 918)(433, 919)(434, 920)(435, 921)(436, 922)(437, 923)(438, 924)(439, 925)(440, 926)(441, 927)(442, 928)(443, 929)(444, 930)(445, 931)(446, 932)(447, 933)(448, 934)(449, 935)(450, 936)(451, 937)(452, 938)(453, 939)(454, 940)(455, 941)(456, 942)(457, 943)(458, 944)(459, 945)(460, 946)(461, 947)(462, 948)(463, 949)(464, 950)(465, 951)(466, 952)(467, 953)(468, 954)(469, 955)(470, 956)(471, 957)(472, 958)(473, 959)(474, 960)(475, 961)(476, 962)(477, 963)(478, 964)(479, 965)(480, 966)(481, 967)(482, 968)(483, 969)(484, 970)(485, 971)(486, 972)
	local type(s) :: { ( 4^3 ), ( 4^18 ) }
Outer automorphisms :: reflexible
Dual of E28.3286
Transitivity :: ET+
Graph:: simple bipartite
	v = 189 e = 486 f = 243
	degree seq :: [ 3^162, 18^27 ]

E28.3283 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 18})
Quotient :: edge
Aut^+ = ((C3 x ((C3 x C3) : C3)) : C3) : C2 (small group id <486, 5>)
Aut   = $<972, 100>$ (small group id <972, 100>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^3, (T2 * T1^-1)^3, T1^-3 * T2 * T1^6 * T2 * T1^-3, T2 * T1 * T2 * T1^-4 * T2 * T1^-4 * T2 * T1 * T2 * T1^-3, T1^18, (T2 * T1^2 * T2 * T1^-2)^3, T2 * T1 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^3 * T2 * T1^-2 * T2 * T1^-3 * T2 * T1^-3, T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-2 * T2 * T1 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^-1 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 13)(10, 19)(11, 22)(14, 23)(15, 28)(17, 30)(18, 33)(20, 35)(21, 38)(24, 39)(25, 44)(26, 45)(27, 48)(29, 49)(31, 53)(32, 56)(34, 59)(36, 61)(37, 64)(40, 65)(41, 70)(42, 71)(43, 74)(46, 77)(47, 80)(50, 81)(51, 85)(52, 88)(54, 90)(55, 93)(57, 94)(58, 98)(60, 101)(62, 103)(63, 106)(66, 107)(67, 112)(68, 113)(69, 116)(72, 119)(73, 122)(75, 123)(76, 127)(78, 129)(79, 131)(82, 132)(83, 137)(84, 138)(86, 141)(87, 144)(89, 147)(91, 149)(92, 151)(95, 152)(96, 156)(97, 158)(99, 159)(100, 162)(102, 164)(104, 150)(105, 167)(108, 168)(109, 171)(110, 172)(111, 174)(114, 177)(115, 179)(117, 180)(118, 184)(120, 186)(121, 187)(124, 188)(125, 192)(126, 195)(128, 198)(130, 200)(133, 201)(134, 205)(135, 206)(136, 209)(139, 212)(140, 215)(142, 217)(143, 219)(145, 220)(146, 223)(148, 225)(153, 226)(154, 231)(155, 232)(157, 235)(160, 237)(161, 241)(163, 243)(165, 218)(166, 249)(169, 252)(170, 254)(173, 258)(175, 259)(176, 263)(178, 265)(181, 266)(182, 270)(183, 273)(185, 276)(189, 278)(190, 282)(191, 283)(193, 286)(194, 288)(196, 289)(197, 292)(199, 294)(202, 296)(203, 297)(204, 299)(207, 302)(208, 304)(210, 305)(211, 308)(213, 310)(214, 312)(216, 253)(221, 316)(222, 320)(224, 322)(227, 250)(228, 326)(229, 327)(230, 329)(233, 331)(234, 333)(236, 257)(238, 256)(239, 337)(240, 319)(242, 267)(244, 264)(245, 342)(246, 277)(247, 315)(248, 343)(251, 345)(255, 347)(260, 351)(261, 354)(262, 357)(268, 363)(269, 364)(271, 367)(272, 369)(274, 370)(275, 372)(279, 374)(280, 375)(281, 377)(284, 380)(285, 381)(287, 383)(290, 384)(291, 387)(293, 389)(295, 391)(298, 382)(300, 393)(301, 397)(303, 399)(306, 400)(307, 404)(309, 407)(311, 408)(313, 409)(314, 348)(317, 388)(318, 413)(321, 401)(323, 398)(324, 417)(325, 418)(328, 421)(330, 422)(332, 396)(334, 414)(335, 428)(336, 429)(338, 410)(339, 361)(340, 432)(341, 403)(344, 433)(346, 434)(349, 437)(350, 438)(352, 440)(353, 441)(355, 444)(356, 445)(358, 446)(359, 448)(360, 449)(362, 451)(365, 453)(366, 454)(368, 456)(371, 459)(373, 461)(376, 455)(378, 464)(379, 467)(385, 460)(386, 472)(390, 468)(392, 474)(394, 469)(395, 450)(402, 477)(405, 471)(406, 478)(411, 473)(412, 435)(415, 458)(416, 443)(419, 465)(420, 479)(423, 463)(424, 480)(425, 436)(426, 476)(427, 475)(430, 466)(431, 457)(439, 481)(442, 482)(447, 483)(452, 484)(462, 485)(470, 486)(487, 488, 491, 497, 507, 523, 549, 591, 652, 734, 733, 651, 590, 548, 522, 506, 496, 490)(489, 493, 501, 513, 533, 565, 592, 654, 736, 830, 780, 686, 636, 577, 540, 517, 503, 494)(492, 499, 511, 529, 559, 607, 653, 617, 687, 781, 732, 650, 589, 616, 564, 532, 512, 500)(495, 504, 518, 541, 578, 594, 550, 593, 655, 737, 711, 635, 704, 628, 572, 537, 515, 502)(498, 509, 527, 555, 601, 664, 735, 673, 764, 731, 649, 587, 547, 588, 606, 558, 528, 510)(505, 520, 544, 583, 596, 552, 524, 551, 595, 656, 739, 703, 801, 722, 643, 582, 543, 519)(508, 525, 553, 597, 659, 743, 829, 751, 728, 647, 585, 545, 521, 546, 586, 600, 554, 526)(514, 535, 569, 622, 694, 789, 713, 637, 712, 810, 710, 633, 576, 634, 699, 625, 570, 536)(516, 538, 573, 629, 689, 619, 566, 618, 688, 779, 684, 615, 685, 773, 679, 611, 561, 530)(531, 562, 612, 680, 766, 675, 608, 674, 765, 859, 762, 672, 763, 854, 757, 668, 603, 556)(534, 567, 620, 690, 784, 869, 919, 885, 807, 708, 631, 574, 539, 575, 632, 693, 621, 568)(542, 580, 640, 716, 814, 832, 738, 658, 742, 836, 799, 701, 627, 702, 800, 719, 641, 581)(557, 604, 669, 758, 847, 753, 665, 752, 846, 827, 730, 648, 729, 826, 841, 747, 661, 598)(560, 609, 676, 767, 862, 942, 877, 783, 874, 777, 682, 613, 563, 614, 683, 770, 677, 610)(571, 626, 700, 797, 715, 639, 579, 638, 714, 811, 893, 796, 831, 920, 891, 793, 696, 623)(584, 645, 725, 822, 835, 741, 657, 599, 662, 748, 842, 819, 721, 744, 837, 824, 726, 646)(602, 666, 754, 848, 936, 918, 828, 861, 946, 857, 760, 670, 605, 671, 761, 851, 755, 667)(624, 697, 759, 856, 944, 887, 790, 886, 935, 850, 809, 709, 808, 902, 930, 881, 786, 691)(630, 706, 804, 898, 923, 878, 782, 692, 787, 882, 931, 867, 772, 868, 955, 900, 805, 707)(642, 720, 818, 912, 821, 724, 644, 723, 820, 913, 922, 834, 740, 833, 921, 910, 816, 717)(660, 745, 838, 925, 916, 823, 727, 825, 917, 933, 844, 749, 663, 750, 845, 928, 839, 746)(678, 771, 843, 932, 897, 803, 705, 802, 896, 927, 876, 778, 875, 960, 915, 952, 864, 768)(681, 775, 872, 957, 907, 949, 860, 769, 865, 798, 895, 940, 853, 941, 905, 812, 718, 776)(695, 791, 888, 926, 840, 929, 903, 813, 906, 943, 855, 794, 698, 795, 892, 934, 889, 792)(756, 852, 924, 914, 956, 871, 774, 870, 817, 911, 948, 858, 947, 909, 815, 908, 938, 849)(785, 879, 937, 970, 966, 899, 806, 901, 945, 972, 962, 883, 788, 884, 939, 971, 961, 880)(863, 950, 967, 963, 890, 958, 873, 959, 969, 965, 894, 953, 866, 954, 968, 964, 904, 951)
	L = (1, 487)(2, 488)(3, 489)(4, 490)(5, 491)(6, 492)(7, 493)(8, 494)(9, 495)(10, 496)(11, 497)(12, 498)(13, 499)(14, 500)(15, 501)(16, 502)(17, 503)(18, 504)(19, 505)(20, 506)(21, 507)(22, 508)(23, 509)(24, 510)(25, 511)(26, 512)(27, 513)(28, 514)(29, 515)(30, 516)(31, 517)(32, 518)(33, 519)(34, 520)(35, 521)(36, 522)(37, 523)(38, 524)(39, 525)(40, 526)(41, 527)(42, 528)(43, 529)(44, 530)(45, 531)(46, 532)(47, 533)(48, 534)(49, 535)(50, 536)(51, 537)(52, 538)(53, 539)(54, 540)(55, 541)(56, 542)(57, 543)(58, 544)(59, 545)(60, 546)(61, 547)(62, 548)(63, 549)(64, 550)(65, 551)(66, 552)(67, 553)(68, 554)(69, 555)(70, 556)(71, 557)(72, 558)(73, 559)(74, 560)(75, 561)(76, 562)(77, 563)(78, 564)(79, 565)(80, 566)(81, 567)(82, 568)(83, 569)(84, 570)(85, 571)(86, 572)(87, 573)(88, 574)(89, 575)(90, 576)(91, 577)(92, 578)(93, 579)(94, 580)(95, 581)(96, 582)(97, 583)(98, 584)(99, 585)(100, 586)(101, 587)(102, 588)(103, 589)(104, 590)(105, 591)(106, 592)(107, 593)(108, 594)(109, 595)(110, 596)(111, 597)(112, 598)(113, 599)(114, 600)(115, 601)(116, 602)(117, 603)(118, 604)(119, 605)(120, 606)(121, 607)(122, 608)(123, 609)(124, 610)(125, 611)(126, 612)(127, 613)(128, 614)(129, 615)(130, 616)(131, 617)(132, 618)(133, 619)(134, 620)(135, 621)(136, 622)(137, 623)(138, 624)(139, 625)(140, 626)(141, 627)(142, 628)(143, 629)(144, 630)(145, 631)(146, 632)(147, 633)(148, 634)(149, 635)(150, 636)(151, 637)(152, 638)(153, 639)(154, 640)(155, 641)(156, 642)(157, 643)(158, 644)(159, 645)(160, 646)(161, 647)(162, 648)(163, 649)(164, 650)(165, 651)(166, 652)(167, 653)(168, 654)(169, 655)(170, 656)(171, 657)(172, 658)(173, 659)(174, 660)(175, 661)(176, 662)(177, 663)(178, 664)(179, 665)(180, 666)(181, 667)(182, 668)(183, 669)(184, 670)(185, 671)(186, 672)(187, 673)(188, 674)(189, 675)(190, 676)(191, 677)(192, 678)(193, 679)(194, 680)(195, 681)(196, 682)(197, 683)(198, 684)(199, 685)(200, 686)(201, 687)(202, 688)(203, 689)(204, 690)(205, 691)(206, 692)(207, 693)(208, 694)(209, 695)(210, 696)(211, 697)(212, 698)(213, 699)(214, 700)(215, 701)(216, 702)(217, 703)(218, 704)(219, 705)(220, 706)(221, 707)(222, 708)(223, 709)(224, 710)(225, 711)(226, 712)(227, 713)(228, 714)(229, 715)(230, 716)(231, 717)(232, 718)(233, 719)(234, 720)(235, 721)(236, 722)(237, 723)(238, 724)(239, 725)(240, 726)(241, 727)(242, 728)(243, 729)(244, 730)(245, 731)(246, 732)(247, 733)(248, 734)(249, 735)(250, 736)(251, 737)(252, 738)(253, 739)(254, 740)(255, 741)(256, 742)(257, 743)(258, 744)(259, 745)(260, 746)(261, 747)(262, 748)(263, 749)(264, 750)(265, 751)(266, 752)(267, 753)(268, 754)(269, 755)(270, 756)(271, 757)(272, 758)(273, 759)(274, 760)(275, 761)(276, 762)(277, 763)(278, 764)(279, 765)(280, 766)(281, 767)(282, 768)(283, 769)(284, 770)(285, 771)(286, 772)(287, 773)(288, 774)(289, 775)(290, 776)(291, 777)(292, 778)(293, 779)(294, 780)(295, 781)(296, 782)(297, 783)(298, 784)(299, 785)(300, 786)(301, 787)(302, 788)(303, 789)(304, 790)(305, 791)(306, 792)(307, 793)(308, 794)(309, 795)(310, 796)(311, 797)(312, 798)(313, 799)(314, 800)(315, 801)(316, 802)(317, 803)(318, 804)(319, 805)(320, 806)(321, 807)(322, 808)(323, 809)(324, 810)(325, 811)(326, 812)(327, 813)(328, 814)(329, 815)(330, 816)(331, 817)(332, 818)(333, 819)(334, 820)(335, 821)(336, 822)(337, 823)(338, 824)(339, 825)(340, 826)(341, 827)(342, 828)(343, 829)(344, 830)(345, 831)(346, 832)(347, 833)(348, 834)(349, 835)(350, 836)(351, 837)(352, 838)(353, 839)(354, 840)(355, 841)(356, 842)(357, 843)(358, 844)(359, 845)(360, 846)(361, 847)(362, 848)(363, 849)(364, 850)(365, 851)(366, 852)(367, 853)(368, 854)(369, 855)(370, 856)(371, 857)(372, 858)(373, 859)(374, 860)(375, 861)(376, 862)(377, 863)(378, 864)(379, 865)(380, 866)(381, 867)(382, 868)(383, 869)(384, 870)(385, 871)(386, 872)(387, 873)(388, 874)(389, 875)(390, 876)(391, 877)(392, 878)(393, 879)(394, 880)(395, 881)(396, 882)(397, 883)(398, 884)(399, 885)(400, 886)(401, 887)(402, 888)(403, 889)(404, 890)(405, 891)(406, 892)(407, 893)(408, 894)(409, 895)(410, 896)(411, 897)(412, 898)(413, 899)(414, 900)(415, 901)(416, 902)(417, 903)(418, 904)(419, 905)(420, 906)(421, 907)(422, 908)(423, 909)(424, 910)(425, 911)(426, 912)(427, 913)(428, 914)(429, 915)(430, 916)(431, 917)(432, 918)(433, 919)(434, 920)(435, 921)(436, 922)(437, 923)(438, 924)(439, 925)(440, 926)(441, 927)(442, 928)(443, 929)(444, 930)(445, 931)(446, 932)(447, 933)(448, 934)(449, 935)(450, 936)(451, 937)(452, 938)(453, 939)(454, 940)(455, 941)(456, 942)(457, 943)(458, 944)(459, 945)(460, 946)(461, 947)(462, 948)(463, 949)(464, 950)(465, 951)(466, 952)(467, 953)(468, 954)(469, 955)(470, 956)(471, 957)(472, 958)(473, 959)(474, 960)(475, 961)(476, 962)(477, 963)(478, 964)(479, 965)(480, 966)(481, 967)(482, 968)(483, 969)(484, 970)(485, 971)(486, 972)
	local type(s) :: { ( 6, 6 ), ( 6^18 ) }
Outer automorphisms :: reflexible
Dual of E28.3284
Transitivity :: ET+
Graph:: simple bipartite
	v = 270 e = 486 f = 162
	degree seq :: [ 2^243, 18^27 ]

E28.3284 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 18})
Quotient :: loop
Aut^+ = ((C3 x ((C3 x C3) : C3)) : C3) : C2 (small group id <486, 5>)
Aut   = $<972, 100>$ (small group id <972, 100>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^3, (F * T1)^2, (F * T2)^2, (T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2)^3, T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1, (T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1)^3, T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 ]
Map::
	R = (1, 487, 3, 489, 4, 490)(2, 488, 5, 491, 6, 492)(7, 493, 11, 497, 12, 498)(8, 494, 13, 499, 14, 500)(9, 495, 15, 501, 16, 502)(10, 496, 17, 503, 18, 504)(19, 505, 27, 513, 28, 514)(20, 506, 29, 515, 30, 516)(21, 507, 31, 517, 32, 518)(22, 508, 33, 519, 34, 520)(23, 509, 35, 521, 36, 522)(24, 510, 37, 523, 38, 524)(25, 511, 39, 525, 40, 526)(26, 512, 41, 527, 42, 528)(43, 529, 59, 545, 60, 546)(44, 530, 61, 547, 62, 548)(45, 531, 63, 549, 64, 550)(46, 532, 65, 551, 66, 552)(47, 533, 67, 553, 68, 554)(48, 534, 69, 555, 70, 556)(49, 535, 71, 557, 72, 558)(50, 536, 73, 559, 74, 560)(51, 537, 75, 561, 76, 562)(52, 538, 77, 563, 78, 564)(53, 539, 79, 565, 80, 566)(54, 540, 81, 567, 82, 568)(55, 541, 83, 569, 84, 570)(56, 542, 85, 571, 86, 572)(57, 543, 87, 573, 88, 574)(58, 544, 89, 575, 90, 576)(91, 577, 123, 609, 124, 610)(92, 578, 125, 611, 126, 612)(93, 579, 127, 613, 128, 614)(94, 580, 129, 615, 130, 616)(95, 581, 131, 617, 132, 618)(96, 582, 133, 619, 134, 620)(97, 583, 135, 621, 136, 622)(98, 584, 137, 623, 138, 624)(99, 585, 139, 625, 140, 626)(100, 586, 141, 627, 142, 628)(101, 587, 143, 629, 144, 630)(102, 588, 145, 631, 146, 632)(103, 589, 147, 633, 148, 634)(104, 590, 149, 635, 150, 636)(105, 591, 151, 637, 152, 638)(106, 592, 153, 639, 154, 640)(107, 593, 155, 641, 156, 642)(108, 594, 157, 643, 158, 644)(109, 595, 159, 645, 160, 646)(110, 596, 161, 647, 162, 648)(111, 597, 163, 649, 164, 650)(112, 598, 165, 651, 166, 652)(113, 599, 167, 653, 168, 654)(114, 600, 169, 655, 170, 656)(115, 601, 171, 657, 172, 658)(116, 602, 173, 659, 174, 660)(117, 603, 175, 661, 176, 662)(118, 604, 177, 663, 178, 664)(119, 605, 179, 665, 180, 666)(120, 606, 181, 667, 182, 668)(121, 607, 183, 669, 184, 670)(122, 608, 185, 671, 186, 672)(187, 673, 355, 841, 478, 964)(188, 674, 260, 746, 422, 908)(189, 675, 357, 843, 480, 966)(190, 676, 288, 774, 446, 932)(191, 677, 359, 845, 290, 776)(192, 678, 333, 819, 369, 855)(193, 679, 220, 706, 337, 823)(194, 680, 362, 848, 244, 730)(195, 681, 340, 826, 388, 874)(196, 682, 364, 850, 482, 968)(197, 683, 366, 852, 415, 901)(198, 684, 368, 854, 483, 969)(199, 685, 318, 804, 322, 808)(200, 686, 370, 856, 233, 719)(201, 687, 247, 733, 324, 810)(202, 688, 371, 857, 471, 957)(203, 689, 372, 858, 326, 812)(204, 690, 241, 727, 329, 815)(205, 691, 374, 860, 327, 813)(206, 692, 361, 847, 481, 967)(207, 693, 376, 862, 365, 851)(208, 694, 377, 863, 386, 872)(209, 695, 224, 710, 394, 880)(210, 696, 379, 865, 258, 744)(211, 697, 380, 866, 292, 778)(212, 698, 382, 868, 484, 970)(213, 699, 383, 869, 349, 835)(214, 700, 348, 834, 352, 838)(215, 701, 385, 871, 447, 933)(216, 702, 387, 873, 246, 732)(217, 703, 249, 735, 414, 900)(218, 704, 389, 875, 485, 971)(219, 705, 305, 791, 307, 793)(221, 707, 265, 751, 267, 753)(222, 708, 294, 780, 296, 782)(223, 709, 257, 743, 259, 745)(225, 711, 396, 882, 341, 827)(226, 712, 262, 748, 263, 749)(227, 713, 243, 729, 245, 731)(228, 714, 271, 757, 273, 759)(229, 715, 398, 884, 400, 886)(230, 716, 237, 723, 240, 726)(231, 717, 331, 817, 402, 888)(232, 718, 403, 889, 405, 891)(234, 720, 375, 861, 384, 870)(235, 721, 300, 786, 302, 788)(236, 722, 406, 892, 407, 893)(238, 724, 311, 797, 313, 799)(239, 725, 323, 809, 409, 895)(242, 728, 411, 897, 412, 898)(248, 734, 286, 772, 291, 777)(250, 736, 358, 844, 367, 853)(251, 737, 350, 836, 416, 902)(252, 738, 297, 783, 332, 818)(253, 739, 277, 763, 282, 768)(254, 740, 417, 903, 351, 837)(255, 741, 419, 905, 420, 906)(256, 742, 317, 803, 335, 821)(261, 747, 423, 909, 424, 910)(264, 750, 293, 779, 304, 790)(266, 752, 342, 828, 404, 890)(268, 754, 401, 887, 281, 767)(269, 755, 427, 913, 316, 802)(270, 756, 428, 914, 429, 915)(272, 758, 430, 916, 431, 917)(274, 760, 392, 878, 433, 919)(275, 761, 434, 920, 435, 921)(276, 762, 308, 794, 410, 896)(278, 764, 436, 922, 437, 923)(279, 765, 438, 924, 319, 805)(280, 766, 439, 925, 440, 926)(283, 769, 441, 927, 443, 929)(284, 770, 344, 830, 444, 930)(285, 771, 343, 829, 413, 899)(287, 773, 381, 867, 445, 931)(289, 775, 448, 934, 360, 846)(295, 781, 449, 935, 397, 883)(298, 784, 334, 820, 450, 936)(299, 785, 336, 822, 452, 938)(301, 787, 453, 939, 454, 940)(303, 789, 393, 879, 320, 806)(306, 792, 456, 942, 325, 811)(309, 795, 458, 944, 459, 945)(310, 796, 460, 946, 461, 947)(312, 798, 347, 833, 462, 948)(314, 800, 390, 876, 451, 937)(315, 801, 464, 950, 465, 951)(321, 807, 467, 953, 395, 881)(328, 814, 442, 928, 418, 904)(330, 816, 469, 955, 470, 956)(338, 824, 457, 943, 472, 958)(339, 825, 408, 894, 399, 885)(345, 831, 378, 864, 363, 849)(346, 832, 473, 959, 474, 960)(353, 839, 476, 962, 477, 963)(354, 840, 391, 877, 468, 954)(356, 842, 479, 965, 421, 907)(373, 859, 475, 961, 425, 911)(426, 912, 466, 952, 486, 972)(432, 918, 455, 941, 463, 949)
	L = (1, 488)(2, 487)(3, 493)(4, 494)(5, 495)(6, 496)(7, 489)(8, 490)(9, 491)(10, 492)(11, 505)(12, 506)(13, 507)(14, 508)(15, 509)(16, 510)(17, 511)(18, 512)(19, 497)(20, 498)(21, 499)(22, 500)(23, 501)(24, 502)(25, 503)(26, 504)(27, 529)(28, 530)(29, 531)(30, 532)(31, 533)(32, 534)(33, 535)(34, 536)(35, 537)(36, 538)(37, 539)(38, 540)(39, 541)(40, 542)(41, 543)(42, 544)(43, 513)(44, 514)(45, 515)(46, 516)(47, 517)(48, 518)(49, 519)(50, 520)(51, 521)(52, 522)(53, 523)(54, 524)(55, 525)(56, 526)(57, 527)(58, 528)(59, 577)(60, 578)(61, 579)(62, 580)(63, 581)(64, 582)(65, 583)(66, 584)(67, 585)(68, 586)(69, 587)(70, 588)(71, 589)(72, 590)(73, 591)(74, 592)(75, 593)(76, 594)(77, 595)(78, 596)(79, 597)(80, 598)(81, 599)(82, 600)(83, 601)(84, 602)(85, 603)(86, 604)(87, 605)(88, 606)(89, 607)(90, 608)(91, 545)(92, 546)(93, 547)(94, 548)(95, 549)(96, 550)(97, 551)(98, 552)(99, 553)(100, 554)(101, 555)(102, 556)(103, 557)(104, 558)(105, 559)(106, 560)(107, 561)(108, 562)(109, 563)(110, 564)(111, 565)(112, 566)(113, 567)(114, 568)(115, 569)(116, 570)(117, 571)(118, 572)(119, 573)(120, 574)(121, 575)(122, 576)(123, 673)(124, 674)(125, 675)(126, 676)(127, 677)(128, 678)(129, 679)(130, 680)(131, 681)(132, 682)(133, 683)(134, 684)(135, 685)(136, 686)(137, 687)(138, 688)(139, 689)(140, 690)(141, 691)(142, 692)(143, 693)(144, 694)(145, 695)(146, 696)(147, 697)(148, 698)(149, 699)(150, 700)(151, 701)(152, 702)(153, 703)(154, 704)(155, 801)(156, 802)(157, 761)(158, 805)(159, 754)(160, 806)(161, 793)(162, 809)(163, 811)(164, 796)(165, 814)(166, 758)(167, 708)(168, 817)(169, 818)(170, 769)(171, 820)(172, 788)(173, 822)(174, 824)(175, 760)(176, 825)(177, 827)(178, 828)(179, 830)(180, 832)(181, 833)(182, 724)(183, 715)(184, 836)(185, 837)(186, 839)(187, 609)(188, 610)(189, 611)(190, 612)(191, 613)(192, 614)(193, 615)(194, 616)(195, 617)(196, 618)(197, 619)(198, 620)(199, 621)(200, 622)(201, 623)(202, 624)(203, 625)(204, 626)(205, 627)(206, 628)(207, 629)(208, 630)(209, 631)(210, 632)(211, 633)(212, 634)(213, 635)(214, 636)(215, 637)(216, 638)(217, 639)(218, 640)(219, 706)(220, 705)(221, 710)(222, 653)(223, 711)(224, 707)(225, 709)(226, 717)(227, 718)(228, 719)(229, 669)(230, 720)(231, 712)(232, 713)(233, 714)(234, 716)(235, 732)(236, 733)(237, 734)(238, 668)(239, 735)(240, 736)(241, 737)(242, 738)(243, 739)(244, 740)(245, 741)(246, 721)(247, 722)(248, 723)(249, 725)(250, 726)(251, 727)(252, 728)(253, 729)(254, 730)(255, 731)(256, 762)(257, 763)(258, 764)(259, 765)(260, 766)(261, 767)(262, 768)(263, 770)(264, 771)(265, 772)(266, 773)(267, 774)(268, 645)(269, 775)(270, 776)(271, 777)(272, 652)(273, 778)(274, 661)(275, 643)(276, 742)(277, 743)(278, 744)(279, 745)(280, 746)(281, 747)(282, 748)(283, 656)(284, 749)(285, 750)(286, 751)(287, 752)(288, 753)(289, 755)(290, 756)(291, 757)(292, 759)(293, 842)(294, 844)(295, 846)(296, 847)(297, 843)(298, 849)(299, 851)(300, 853)(301, 855)(302, 658)(303, 852)(304, 859)(305, 861)(306, 864)(307, 647)(308, 860)(309, 867)(310, 650)(311, 870)(312, 872)(313, 874)(314, 869)(315, 641)(316, 642)(317, 952)(318, 905)(319, 644)(320, 646)(321, 926)(322, 943)(323, 648)(324, 920)(325, 649)(326, 945)(327, 919)(328, 651)(329, 906)(330, 879)(331, 654)(332, 655)(333, 928)(334, 657)(335, 941)(336, 659)(337, 889)(338, 660)(339, 662)(340, 944)(341, 663)(342, 664)(343, 938)(344, 665)(345, 922)(346, 666)(347, 667)(348, 891)(349, 885)(350, 670)(351, 671)(352, 942)(353, 672)(354, 948)(355, 950)(356, 779)(357, 783)(358, 780)(359, 890)(360, 781)(361, 782)(362, 896)(363, 784)(364, 946)(365, 785)(366, 789)(367, 786)(368, 888)(369, 787)(370, 916)(371, 923)(372, 951)(373, 790)(374, 794)(375, 791)(376, 883)(377, 904)(378, 792)(379, 887)(380, 913)(381, 795)(382, 914)(383, 800)(384, 797)(385, 924)(386, 798)(387, 939)(388, 799)(389, 929)(390, 877)(391, 876)(392, 881)(393, 816)(394, 882)(395, 878)(396, 880)(397, 862)(398, 932)(399, 835)(400, 907)(401, 865)(402, 854)(403, 823)(404, 845)(405, 834)(406, 967)(407, 911)(408, 901)(409, 899)(410, 848)(411, 958)(412, 918)(413, 895)(414, 925)(415, 894)(416, 955)(417, 934)(418, 863)(419, 804)(420, 815)(421, 886)(422, 930)(423, 959)(424, 949)(425, 893)(426, 933)(427, 866)(428, 868)(429, 961)(430, 856)(431, 953)(432, 898)(433, 813)(434, 810)(435, 954)(436, 831)(437, 857)(438, 871)(439, 900)(440, 807)(441, 931)(442, 819)(443, 875)(444, 908)(445, 927)(446, 884)(447, 912)(448, 903)(449, 969)(450, 964)(451, 966)(452, 829)(453, 873)(454, 956)(455, 821)(456, 838)(457, 808)(458, 826)(459, 812)(460, 850)(461, 965)(462, 840)(463, 910)(464, 841)(465, 858)(466, 803)(467, 917)(468, 921)(469, 902)(470, 940)(471, 962)(472, 897)(473, 909)(474, 970)(475, 915)(476, 957)(477, 971)(478, 936)(479, 947)(480, 937)(481, 892)(482, 972)(483, 935)(484, 960)(485, 963)(486, 968)
	local type(s) :: { ( 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.3283
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 162 e = 486 f = 270
	degree seq :: [ 6^162 ]

E28.3285 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 18})
Quotient :: loop
Aut^+ = ((C3 x ((C3 x C3) : C3)) : C3) : C2 (small group id <486, 5>)
Aut   = $<972, 100>$ (small group id <972, 100>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T2 * T1)^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1 * T2 * T1^-1, T2^2 * T1^-1 * T2^-7 * T1^-1 * T2^3, (T2^3 * T1^-1 * T2)^3, T2^-1 * T1 * T2^-1 * T1 * T2^-5 * T1 * T2 * T1^-1 * T2^4 * T1^-1, T2^2 * T1^-1 * T2^2 * T1^-1 * T2^-2 * T1 * T2^-2 * T1 * T2^-3 * T1^-1 * T2 * T1^-1, T2 * T1^-1 * T2^-2 * T1 * T2^2 * T1^-1 * T2^-3 * T1^-1 * T2 * T1^-1 * T2^-3 * T1^-1, T2 * T1^-1 * T2^-2 * T1 * T2^-2 * T1 * T2^2 * T1^-1 * T2^2 * T1^-1 * T2^3 * T1^-1 ]
Map::
	R = (1, 487, 3, 489, 9, 495, 19, 505, 37, 523, 67, 553, 117, 603, 202, 688, 316, 802, 406, 892, 285, 771, 177, 663, 150, 636, 86, 572, 48, 534, 26, 512, 13, 499, 5, 491)(2, 488, 6, 492, 14, 500, 27, 513, 50, 536, 89, 575, 155, 641, 118, 604, 204, 690, 317, 803, 298, 784, 187, 673, 178, 664, 102, 588, 58, 544, 32, 518, 16, 502, 7, 493)(4, 490, 11, 497, 22, 508, 41, 527, 74, 560, 129, 615, 203, 689, 156, 642, 256, 742, 366, 852, 248, 734, 149, 635, 188, 674, 108, 594, 62, 548, 34, 520, 17, 503, 8, 494)(10, 496, 21, 507, 40, 526, 71, 557, 124, 610, 214, 700, 221, 707, 130, 616, 222, 708, 247, 733, 148, 634, 85, 571, 147, 633, 194, 680, 112, 598, 64, 550, 35, 521, 18, 504)(12, 498, 23, 509, 43, 529, 77, 563, 134, 620, 201, 687, 116, 602, 68, 554, 119, 605, 205, 691, 176, 662, 101, 587, 175, 661, 236, 722, 140, 626, 80, 566, 44, 530, 24, 510)(15, 501, 29, 515, 53, 539, 93, 579, 162, 648, 255, 741, 154, 640, 90, 576, 157, 643, 257, 743, 186, 672, 107, 593, 185, 671, 274, 760, 168, 654, 96, 582, 54, 540, 30, 516)(20, 506, 39, 525, 70, 556, 121, 607, 209, 695, 324, 810, 330, 816, 215, 701, 246, 732, 146, 632, 84, 570, 47, 533, 83, 569, 145, 631, 198, 684, 114, 600, 65, 551, 36, 522)(25, 511, 45, 531, 81, 567, 141, 627, 200, 686, 115, 601, 66, 552, 38, 524, 69, 555, 120, 606, 206, 692, 235, 721, 354, 840, 361, 847, 243, 729, 144, 630, 82, 568, 46, 532)(28, 514, 52, 538, 92, 578, 159, 645, 261, 747, 382, 868, 315, 801, 228, 714, 284, 770, 174, 660, 100, 586, 57, 543, 99, 585, 173, 659, 252, 738, 152, 638, 87, 573, 49, 535)(31, 517, 55, 541, 97, 583, 169, 655, 254, 740, 153, 639, 88, 574, 51, 537, 91, 577, 158, 644, 258, 744, 273, 759, 396, 882, 403, 889, 281, 767, 172, 658, 98, 584, 56, 542)(33, 519, 59, 545, 103, 589, 179, 665, 287, 773, 220, 706, 128, 614, 75, 561, 131, 617, 223, 709, 306, 792, 193, 679, 305, 791, 416, 902, 293, 779, 182, 668, 104, 590, 60, 546)(42, 528, 76, 562, 132, 618, 224, 710, 340, 826, 444, 930, 375, 861, 266, 752, 297, 783, 184, 670, 106, 592, 61, 547, 105, 591, 183, 669, 294, 780, 219, 705, 127, 613, 73, 559)(63, 549, 109, 595, 189, 675, 299, 785, 421, 907, 329, 815, 213, 699, 125, 611, 216, 702, 331, 817, 429, 915, 311, 797, 244, 730, 362, 848, 422, 908, 302, 788, 190, 676, 110, 596)(72, 558, 126, 612, 217, 703, 332, 818, 438, 924, 365, 851, 337, 823, 409, 895, 425, 911, 304, 790, 192, 678, 111, 597, 191, 677, 303, 789, 423, 909, 328, 814, 212, 698, 123, 609)(78, 564, 136, 622, 230, 716, 347, 833, 431, 917, 313, 799, 199, 685, 312, 798, 430, 916, 353, 839, 234, 720, 139, 625, 233, 719, 320, 806, 435, 921, 344, 830, 226, 712, 133, 619)(79, 565, 137, 623, 231, 717, 349, 835, 446, 932, 345, 831, 227, 713, 135, 621, 229, 715, 346, 832, 447, 933, 371, 857, 282, 768, 318, 804, 433, 919, 352, 838, 232, 718, 138, 624)(94, 580, 164, 650, 268, 754, 389, 875, 455, 941, 373, 859, 253, 739, 372, 858, 454, 940, 395, 881, 272, 758, 167, 653, 271, 757, 378, 864, 459, 945, 386, 872, 264, 750, 161, 647)(95, 581, 165, 651, 269, 755, 391, 877, 461, 947, 387, 873, 265, 751, 163, 649, 267, 753, 388, 874, 462, 948, 417, 903, 295, 781, 376, 862, 457, 943, 394, 880, 270, 756, 166, 652)(113, 599, 195, 681, 307, 793, 392, 878, 360, 846, 242, 728, 323, 809, 210, 696, 325, 811, 385, 871, 355, 841, 237, 723, 142, 628, 239, 725, 357, 843, 426, 912, 308, 794, 196, 682)(122, 608, 211, 697, 326, 812, 393, 879, 364, 850, 245, 731, 363, 849, 450, 936, 474, 960, 428, 914, 310, 796, 197, 683, 309, 795, 427, 913, 473, 959, 436, 922, 322, 808, 208, 694)(143, 629, 240, 726, 358, 844, 449, 935, 475, 961, 432, 918, 314, 800, 238, 724, 356, 842, 448, 934, 476, 962, 434, 920, 319, 805, 207, 693, 321, 807, 390, 876, 359, 845, 241, 727)(151, 637, 249, 735, 367, 853, 300, 786, 402, 888, 280, 766, 381, 867, 262, 748, 383, 869, 327, 813, 397, 883, 275, 761, 170, 656, 277, 763, 399, 885, 451, 937, 368, 854, 250, 736)(160, 646, 263, 749, 384, 870, 301, 787, 405, 891, 283, 769, 404, 890, 465, 951, 480, 966, 453, 939, 370, 856, 251, 737, 369, 855, 452, 938, 479, 965, 460, 946, 380, 866, 260, 746)(171, 657, 278, 764, 400, 886, 464, 950, 481, 967, 456, 942, 374, 860, 276, 762, 398, 884, 463, 949, 482, 968, 458, 944, 377, 863, 259, 745, 379, 865, 333, 819, 401, 887, 279, 765)(180, 666, 289, 775, 411, 897, 468, 954, 440, 926, 335, 821, 218, 704, 334, 820, 439, 925, 350, 836, 415, 901, 292, 778, 414, 900, 341, 827, 445, 931, 343, 829, 407, 893, 286, 772)(181, 667, 290, 776, 412, 898, 469, 955, 483, 969, 466, 952, 408, 894, 288, 774, 410, 896, 467, 953, 484, 970, 472, 958, 424, 910, 338, 824, 442, 928, 348, 834, 413, 899, 291, 777)(225, 711, 342, 828, 437, 923, 351, 837, 420, 906, 296, 782, 419, 905, 471, 957, 486, 972, 477, 963, 441, 927, 336, 822, 418, 904, 470, 956, 485, 971, 478, 964, 443, 929, 339, 825)
	L = (1, 488)(2, 490)(3, 494)(4, 487)(5, 498)(6, 491)(7, 501)(8, 496)(9, 504)(10, 489)(11, 493)(12, 492)(13, 511)(14, 510)(15, 497)(16, 517)(17, 519)(18, 506)(19, 522)(20, 495)(21, 503)(22, 516)(23, 499)(24, 514)(25, 509)(26, 533)(27, 535)(28, 500)(29, 502)(30, 528)(31, 515)(32, 543)(33, 507)(34, 547)(35, 549)(36, 524)(37, 552)(38, 505)(39, 521)(40, 546)(41, 559)(42, 508)(43, 532)(44, 565)(45, 512)(46, 564)(47, 531)(48, 571)(49, 537)(50, 574)(51, 513)(52, 530)(53, 542)(54, 581)(55, 518)(56, 580)(57, 541)(58, 587)(59, 520)(60, 558)(61, 545)(62, 593)(63, 525)(64, 597)(65, 599)(66, 554)(67, 602)(68, 523)(69, 551)(70, 596)(71, 609)(72, 526)(73, 561)(74, 614)(75, 527)(76, 540)(77, 619)(78, 529)(79, 538)(80, 625)(81, 570)(82, 629)(83, 534)(84, 628)(85, 569)(86, 635)(87, 637)(88, 576)(89, 640)(90, 536)(91, 573)(92, 624)(93, 647)(94, 539)(95, 562)(96, 653)(97, 586)(98, 657)(99, 544)(100, 656)(101, 585)(102, 663)(103, 592)(104, 667)(105, 548)(106, 666)(107, 591)(108, 673)(109, 550)(110, 608)(111, 595)(112, 679)(113, 555)(114, 683)(115, 685)(116, 604)(117, 641)(118, 553)(119, 601)(120, 682)(121, 694)(122, 556)(123, 611)(124, 699)(125, 557)(126, 590)(127, 704)(128, 616)(129, 707)(130, 560)(131, 613)(132, 652)(133, 621)(134, 713)(135, 563)(136, 568)(137, 566)(138, 646)(139, 623)(140, 721)(141, 723)(142, 567)(143, 622)(144, 728)(145, 634)(146, 731)(147, 572)(148, 730)(149, 633)(150, 664)(151, 577)(152, 737)(153, 739)(154, 642)(155, 689)(156, 575)(157, 639)(158, 736)(159, 746)(160, 578)(161, 649)(162, 751)(163, 579)(164, 584)(165, 582)(166, 711)(167, 651)(168, 759)(169, 761)(170, 583)(171, 650)(172, 766)(173, 662)(174, 769)(175, 588)(176, 768)(177, 661)(178, 674)(179, 772)(180, 589)(181, 612)(182, 778)(183, 672)(184, 782)(185, 594)(186, 781)(187, 671)(188, 636)(189, 678)(190, 787)(191, 598)(192, 786)(193, 677)(194, 734)(195, 600)(196, 693)(197, 681)(198, 797)(199, 605)(200, 800)(201, 801)(202, 615)(203, 603)(204, 687)(205, 799)(206, 805)(207, 606)(208, 696)(209, 809)(210, 607)(211, 676)(212, 813)(213, 701)(214, 816)(215, 610)(216, 698)(217, 777)(218, 617)(219, 822)(220, 823)(221, 688)(222, 706)(223, 821)(224, 825)(225, 618)(226, 829)(227, 714)(228, 620)(229, 712)(230, 727)(231, 720)(232, 837)(233, 626)(234, 836)(235, 719)(236, 771)(237, 724)(238, 627)(239, 632)(240, 630)(241, 834)(242, 726)(243, 695)(244, 631)(245, 725)(246, 815)(247, 851)(248, 791)(249, 638)(250, 745)(251, 735)(252, 857)(253, 643)(254, 860)(255, 861)(256, 741)(257, 859)(258, 863)(259, 644)(260, 748)(261, 867)(262, 645)(263, 718)(264, 871)(265, 752)(266, 648)(267, 750)(268, 765)(269, 758)(270, 879)(271, 654)(272, 878)(273, 757)(274, 784)(275, 762)(276, 655)(277, 660)(278, 658)(279, 876)(280, 764)(281, 747)(282, 659)(283, 763)(284, 831)(285, 840)(286, 774)(287, 894)(288, 665)(289, 670)(290, 668)(291, 819)(292, 776)(293, 826)(294, 903)(295, 669)(296, 775)(297, 873)(298, 882)(299, 853)(300, 675)(301, 697)(302, 885)(303, 792)(304, 886)(305, 680)(306, 910)(307, 796)(308, 875)(309, 684)(310, 877)(311, 795)(312, 686)(313, 804)(314, 798)(315, 690)(316, 700)(317, 868)(318, 691)(319, 806)(320, 692)(321, 794)(322, 874)(323, 729)(324, 847)(325, 808)(326, 870)(327, 702)(328, 884)(329, 849)(330, 802)(331, 869)(332, 865)(333, 703)(334, 705)(335, 824)(336, 820)(337, 708)(338, 709)(339, 827)(340, 900)(341, 710)(342, 756)(343, 715)(344, 896)(345, 890)(346, 931)(347, 928)(348, 716)(349, 925)(350, 717)(351, 749)(352, 897)(353, 898)(354, 722)(355, 872)(356, 841)(357, 850)(358, 846)(359, 887)(360, 881)(361, 892)(362, 733)(363, 732)(364, 880)(365, 848)(366, 930)(367, 856)(368, 818)(369, 738)(370, 785)(371, 855)(372, 740)(373, 862)(374, 858)(375, 742)(376, 743)(377, 864)(378, 744)(379, 854)(380, 817)(381, 767)(382, 889)(383, 866)(384, 923)(385, 753)(386, 842)(387, 905)(388, 811)(389, 807)(390, 754)(391, 793)(392, 755)(393, 828)(394, 843)(395, 844)(396, 760)(397, 814)(398, 883)(399, 891)(400, 888)(401, 899)(402, 790)(403, 803)(404, 770)(405, 788)(406, 810)(407, 830)(408, 895)(409, 773)(410, 893)(411, 906)(412, 901)(413, 845)(414, 779)(415, 839)(416, 852)(417, 904)(418, 780)(419, 783)(420, 838)(421, 939)(422, 924)(423, 958)(424, 789)(425, 952)(426, 943)(427, 915)(428, 957)(429, 946)(430, 918)(431, 954)(432, 955)(433, 917)(434, 953)(435, 920)(436, 956)(437, 812)(438, 937)(439, 927)(440, 833)(441, 835)(442, 926)(443, 832)(444, 902)(445, 929)(446, 963)(447, 964)(448, 945)(449, 940)(450, 907)(451, 908)(452, 933)(453, 936)(454, 942)(455, 912)(456, 935)(457, 941)(458, 934)(459, 944)(460, 913)(461, 914)(462, 922)(463, 909)(464, 911)(465, 932)(466, 950)(467, 921)(468, 919)(469, 916)(470, 948)(471, 947)(472, 949)(473, 965)(474, 966)(475, 967)(476, 968)(477, 951)(478, 938)(479, 971)(480, 972)(481, 969)(482, 970)(483, 961)(484, 962)(485, 959)(486, 960)
	local type(s) :: { ( 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3 ) }
Outer automorphisms :: reflexible
Dual of E28.3281
Transitivity :: ET+ VT+ AT
Graph::
	v = 27 e = 486 f = 405
	degree seq :: [ 36^27 ]

E28.3286 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 18})
Quotient :: loop
Aut^+ = ((C3 x ((C3 x C3) : C3)) : C3) : C2 (small group id <486, 5>)
Aut   = $<972, 100>$ (small group id <972, 100>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^3, (T2 * T1^-1)^3, T1^-3 * T2 * T1^6 * T2 * T1^-3, T2 * T1 * T2 * T1^-4 * T2 * T1^-4 * T2 * T1 * T2 * T1^-3, T1^18, (T2 * T1^2 * T2 * T1^-2)^3, T2 * T1 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^3 * T2 * T1^-2 * T2 * T1^-3 * T2 * T1^-3, T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-2 * T2 * T1 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 487, 3, 489)(2, 488, 6, 492)(4, 490, 9, 495)(5, 491, 12, 498)(7, 493, 16, 502)(8, 494, 13, 499)(10, 496, 19, 505)(11, 497, 22, 508)(14, 500, 23, 509)(15, 501, 28, 514)(17, 503, 30, 516)(18, 504, 33, 519)(20, 506, 35, 521)(21, 507, 38, 524)(24, 510, 39, 525)(25, 511, 44, 530)(26, 512, 45, 531)(27, 513, 48, 534)(29, 515, 49, 535)(31, 517, 53, 539)(32, 518, 56, 542)(34, 520, 59, 545)(36, 522, 61, 547)(37, 523, 64, 550)(40, 526, 65, 551)(41, 527, 70, 556)(42, 528, 71, 557)(43, 529, 74, 560)(46, 532, 77, 563)(47, 533, 80, 566)(50, 536, 81, 567)(51, 537, 85, 571)(52, 538, 88, 574)(54, 540, 90, 576)(55, 541, 93, 579)(57, 543, 94, 580)(58, 544, 98, 584)(60, 546, 101, 587)(62, 548, 103, 589)(63, 549, 106, 592)(66, 552, 107, 593)(67, 553, 112, 598)(68, 554, 113, 599)(69, 555, 116, 602)(72, 558, 119, 605)(73, 559, 122, 608)(75, 561, 123, 609)(76, 562, 127, 613)(78, 564, 129, 615)(79, 565, 131, 617)(82, 568, 132, 618)(83, 569, 137, 623)(84, 570, 138, 624)(86, 572, 141, 627)(87, 573, 144, 630)(89, 575, 147, 633)(91, 577, 149, 635)(92, 578, 151, 637)(95, 581, 152, 638)(96, 582, 156, 642)(97, 583, 158, 644)(99, 585, 159, 645)(100, 586, 162, 648)(102, 588, 164, 650)(104, 590, 150, 636)(105, 591, 167, 653)(108, 594, 168, 654)(109, 595, 171, 657)(110, 596, 172, 658)(111, 597, 174, 660)(114, 600, 177, 663)(115, 601, 179, 665)(117, 603, 180, 666)(118, 604, 184, 670)(120, 606, 186, 672)(121, 607, 187, 673)(124, 610, 188, 674)(125, 611, 192, 678)(126, 612, 195, 681)(128, 614, 198, 684)(130, 616, 200, 686)(133, 619, 201, 687)(134, 620, 205, 691)(135, 621, 206, 692)(136, 622, 209, 695)(139, 625, 212, 698)(140, 626, 215, 701)(142, 628, 217, 703)(143, 629, 219, 705)(145, 631, 220, 706)(146, 632, 223, 709)(148, 634, 225, 711)(153, 639, 226, 712)(154, 640, 231, 717)(155, 641, 232, 718)(157, 643, 235, 721)(160, 646, 237, 723)(161, 647, 241, 727)(163, 649, 243, 729)(165, 651, 218, 704)(166, 652, 249, 735)(169, 655, 252, 738)(170, 656, 254, 740)(173, 659, 258, 744)(175, 661, 259, 745)(176, 662, 263, 749)(178, 664, 265, 751)(181, 667, 266, 752)(182, 668, 270, 756)(183, 669, 273, 759)(185, 671, 276, 762)(189, 675, 278, 764)(190, 676, 282, 768)(191, 677, 283, 769)(193, 679, 286, 772)(194, 680, 288, 774)(196, 682, 289, 775)(197, 683, 292, 778)(199, 685, 294, 780)(202, 688, 296, 782)(203, 689, 297, 783)(204, 690, 299, 785)(207, 693, 302, 788)(208, 694, 304, 790)(210, 696, 305, 791)(211, 697, 308, 794)(213, 699, 310, 796)(214, 700, 312, 798)(216, 702, 253, 739)(221, 707, 316, 802)(222, 708, 320, 806)(224, 710, 322, 808)(227, 713, 250, 736)(228, 714, 326, 812)(229, 715, 327, 813)(230, 716, 329, 815)(233, 719, 331, 817)(234, 720, 333, 819)(236, 722, 257, 743)(238, 724, 256, 742)(239, 725, 337, 823)(240, 726, 319, 805)(242, 728, 267, 753)(244, 730, 264, 750)(245, 731, 342, 828)(246, 732, 277, 763)(247, 733, 315, 801)(248, 734, 343, 829)(251, 737, 345, 831)(255, 741, 347, 833)(260, 746, 351, 837)(261, 747, 354, 840)(262, 748, 357, 843)(268, 754, 363, 849)(269, 755, 364, 850)(271, 757, 367, 853)(272, 758, 369, 855)(274, 760, 370, 856)(275, 761, 372, 858)(279, 765, 374, 860)(280, 766, 375, 861)(281, 767, 377, 863)(284, 770, 380, 866)(285, 771, 381, 867)(287, 773, 383, 869)(290, 776, 384, 870)(291, 777, 387, 873)(293, 779, 389, 875)(295, 781, 391, 877)(298, 784, 382, 868)(300, 786, 393, 879)(301, 787, 397, 883)(303, 789, 399, 885)(306, 792, 400, 886)(307, 793, 404, 890)(309, 795, 407, 893)(311, 797, 408, 894)(313, 799, 409, 895)(314, 800, 348, 834)(317, 803, 388, 874)(318, 804, 413, 899)(321, 807, 401, 887)(323, 809, 398, 884)(324, 810, 417, 903)(325, 811, 418, 904)(328, 814, 421, 907)(330, 816, 422, 908)(332, 818, 396, 882)(334, 820, 414, 900)(335, 821, 428, 914)(336, 822, 429, 915)(338, 824, 410, 896)(339, 825, 361, 847)(340, 826, 432, 918)(341, 827, 403, 889)(344, 830, 433, 919)(346, 832, 434, 920)(349, 835, 437, 923)(350, 836, 438, 924)(352, 838, 440, 926)(353, 839, 441, 927)(355, 841, 444, 930)(356, 842, 445, 931)(358, 844, 446, 932)(359, 845, 448, 934)(360, 846, 449, 935)(362, 848, 451, 937)(365, 851, 453, 939)(366, 852, 454, 940)(368, 854, 456, 942)(371, 857, 459, 945)(373, 859, 461, 947)(376, 862, 455, 941)(378, 864, 464, 950)(379, 865, 467, 953)(385, 871, 460, 946)(386, 872, 472, 958)(390, 876, 468, 954)(392, 878, 474, 960)(394, 880, 469, 955)(395, 881, 450, 936)(402, 888, 477, 963)(405, 891, 471, 957)(406, 892, 478, 964)(411, 897, 473, 959)(412, 898, 435, 921)(415, 901, 458, 944)(416, 902, 443, 929)(419, 905, 465, 951)(420, 906, 479, 965)(423, 909, 463, 949)(424, 910, 480, 966)(425, 911, 436, 922)(426, 912, 476, 962)(427, 913, 475, 961)(430, 916, 466, 952)(431, 917, 457, 943)(439, 925, 481, 967)(442, 928, 482, 968)(447, 933, 483, 969)(452, 938, 484, 970)(462, 948, 485, 971)(470, 956, 486, 972)
	L = (1, 488)(2, 491)(3, 493)(4, 487)(5, 497)(6, 499)(7, 501)(8, 489)(9, 504)(10, 490)(11, 507)(12, 509)(13, 511)(14, 492)(15, 513)(16, 495)(17, 494)(18, 518)(19, 520)(20, 496)(21, 523)(22, 525)(23, 527)(24, 498)(25, 529)(26, 500)(27, 533)(28, 535)(29, 502)(30, 538)(31, 503)(32, 541)(33, 505)(34, 544)(35, 546)(36, 506)(37, 549)(38, 551)(39, 553)(40, 508)(41, 555)(42, 510)(43, 559)(44, 516)(45, 562)(46, 512)(47, 565)(48, 567)(49, 569)(50, 514)(51, 515)(52, 573)(53, 575)(54, 517)(55, 578)(56, 580)(57, 519)(58, 583)(59, 521)(60, 586)(61, 588)(62, 522)(63, 591)(64, 593)(65, 595)(66, 524)(67, 597)(68, 526)(69, 601)(70, 531)(71, 604)(72, 528)(73, 607)(74, 609)(75, 530)(76, 612)(77, 614)(78, 532)(79, 592)(80, 618)(81, 620)(82, 534)(83, 622)(84, 536)(85, 626)(86, 537)(87, 629)(88, 539)(89, 632)(90, 634)(91, 540)(92, 594)(93, 638)(94, 640)(95, 542)(96, 543)(97, 596)(98, 645)(99, 545)(100, 600)(101, 547)(102, 606)(103, 616)(104, 548)(105, 652)(106, 654)(107, 655)(108, 550)(109, 656)(110, 552)(111, 659)(112, 557)(113, 662)(114, 554)(115, 664)(116, 666)(117, 556)(118, 669)(119, 671)(120, 558)(121, 653)(122, 674)(123, 676)(124, 560)(125, 561)(126, 680)(127, 563)(128, 683)(129, 685)(130, 564)(131, 687)(132, 688)(133, 566)(134, 690)(135, 568)(136, 694)(137, 571)(138, 697)(139, 570)(140, 700)(141, 702)(142, 572)(143, 689)(144, 706)(145, 574)(146, 693)(147, 576)(148, 699)(149, 704)(150, 577)(151, 712)(152, 714)(153, 579)(154, 716)(155, 581)(156, 720)(157, 582)(158, 723)(159, 725)(160, 584)(161, 585)(162, 729)(163, 587)(164, 589)(165, 590)(166, 734)(167, 617)(168, 736)(169, 737)(170, 739)(171, 599)(172, 742)(173, 743)(174, 745)(175, 598)(176, 748)(177, 750)(178, 735)(179, 752)(180, 754)(181, 602)(182, 603)(183, 758)(184, 605)(185, 761)(186, 763)(187, 764)(188, 765)(189, 608)(190, 767)(191, 610)(192, 771)(193, 611)(194, 766)(195, 775)(196, 613)(197, 770)(198, 615)(199, 773)(200, 636)(201, 781)(202, 779)(203, 619)(204, 784)(205, 624)(206, 787)(207, 621)(208, 789)(209, 791)(210, 623)(211, 759)(212, 795)(213, 625)(214, 797)(215, 627)(216, 800)(217, 801)(218, 628)(219, 802)(220, 804)(221, 630)(222, 631)(223, 808)(224, 633)(225, 635)(226, 810)(227, 637)(228, 811)(229, 639)(230, 814)(231, 642)(232, 776)(233, 641)(234, 818)(235, 744)(236, 643)(237, 820)(238, 644)(239, 822)(240, 646)(241, 825)(242, 647)(243, 826)(244, 648)(245, 649)(246, 650)(247, 651)(248, 733)(249, 673)(250, 830)(251, 711)(252, 658)(253, 703)(254, 833)(255, 657)(256, 836)(257, 829)(258, 837)(259, 838)(260, 660)(261, 661)(262, 842)(263, 663)(264, 845)(265, 728)(266, 846)(267, 665)(268, 848)(269, 667)(270, 852)(271, 668)(272, 847)(273, 856)(274, 670)(275, 851)(276, 672)(277, 854)(278, 731)(279, 859)(280, 675)(281, 862)(282, 678)(283, 865)(284, 677)(285, 843)(286, 868)(287, 679)(288, 870)(289, 872)(290, 681)(291, 682)(292, 875)(293, 684)(294, 686)(295, 732)(296, 692)(297, 874)(298, 869)(299, 879)(300, 691)(301, 882)(302, 884)(303, 713)(304, 886)(305, 888)(306, 695)(307, 696)(308, 698)(309, 892)(310, 831)(311, 715)(312, 895)(313, 701)(314, 719)(315, 722)(316, 896)(317, 705)(318, 898)(319, 707)(320, 901)(321, 708)(322, 902)(323, 709)(324, 710)(325, 893)(326, 718)(327, 906)(328, 832)(329, 908)(330, 717)(331, 911)(332, 912)(333, 721)(334, 913)(335, 724)(336, 835)(337, 727)(338, 726)(339, 917)(340, 841)(341, 730)(342, 861)(343, 751)(344, 780)(345, 920)(346, 738)(347, 921)(348, 740)(349, 741)(350, 799)(351, 824)(352, 925)(353, 746)(354, 929)(355, 747)(356, 819)(357, 932)(358, 749)(359, 928)(360, 827)(361, 753)(362, 936)(363, 756)(364, 809)(365, 755)(366, 924)(367, 941)(368, 757)(369, 794)(370, 944)(371, 760)(372, 947)(373, 762)(374, 769)(375, 946)(376, 942)(377, 950)(378, 768)(379, 798)(380, 954)(381, 772)(382, 955)(383, 919)(384, 817)(385, 774)(386, 957)(387, 959)(388, 777)(389, 960)(390, 778)(391, 783)(392, 782)(393, 937)(394, 785)(395, 786)(396, 931)(397, 788)(398, 939)(399, 807)(400, 935)(401, 790)(402, 926)(403, 792)(404, 958)(405, 793)(406, 934)(407, 796)(408, 953)(409, 940)(410, 927)(411, 803)(412, 923)(413, 806)(414, 805)(415, 945)(416, 930)(417, 813)(418, 951)(419, 812)(420, 943)(421, 949)(422, 938)(423, 815)(424, 816)(425, 948)(426, 821)(427, 922)(428, 956)(429, 952)(430, 823)(431, 933)(432, 828)(433, 885)(434, 891)(435, 910)(436, 834)(437, 878)(438, 914)(439, 916)(440, 840)(441, 876)(442, 839)(443, 903)(444, 881)(445, 867)(446, 897)(447, 844)(448, 889)(449, 850)(450, 918)(451, 970)(452, 849)(453, 971)(454, 853)(455, 905)(456, 877)(457, 855)(458, 887)(459, 972)(460, 857)(461, 909)(462, 858)(463, 860)(464, 967)(465, 863)(466, 864)(467, 866)(468, 968)(469, 900)(470, 871)(471, 907)(472, 873)(473, 969)(474, 915)(475, 880)(476, 883)(477, 890)(478, 904)(479, 894)(480, 899)(481, 963)(482, 964)(483, 965)(484, 966)(485, 961)(486, 962)
	local type(s) :: { ( 3, 18, 3, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.3282
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 243 e = 486 f = 189
	degree seq :: [ 4^243 ]

E28.3287 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 18})
Quotient :: dipole
Aut^+ = ((C3 x ((C3 x C3) : C3)) : C3) : C2 (small group id <486, 5>)
Aut   = $<972, 100>$ (small group id <972, 100>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, Y2^3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1, (Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1)^3, (Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1)^3, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1, (Y3 * Y2^-1)^18 ]
Map::
	R = (1, 487, 2, 488)(3, 489, 7, 493)(4, 490, 8, 494)(5, 491, 9, 495)(6, 492, 10, 496)(11, 497, 19, 505)(12, 498, 20, 506)(13, 499, 21, 507)(14, 500, 22, 508)(15, 501, 23, 509)(16, 502, 24, 510)(17, 503, 25, 511)(18, 504, 26, 512)(27, 513, 43, 529)(28, 514, 44, 530)(29, 515, 45, 531)(30, 516, 46, 532)(31, 517, 47, 533)(32, 518, 48, 534)(33, 519, 49, 535)(34, 520, 50, 536)(35, 521, 51, 537)(36, 522, 52, 538)(37, 523, 53, 539)(38, 524, 54, 540)(39, 525, 55, 541)(40, 526, 56, 542)(41, 527, 57, 543)(42, 528, 58, 544)(59, 545, 91, 577)(60, 546, 92, 578)(61, 547, 93, 579)(62, 548, 94, 580)(63, 549, 95, 581)(64, 550, 96, 582)(65, 551, 97, 583)(66, 552, 98, 584)(67, 553, 99, 585)(68, 554, 100, 586)(69, 555, 101, 587)(70, 556, 102, 588)(71, 557, 103, 589)(72, 558, 104, 590)(73, 559, 105, 591)(74, 560, 106, 592)(75, 561, 107, 593)(76, 562, 108, 594)(77, 563, 109, 595)(78, 564, 110, 596)(79, 565, 111, 597)(80, 566, 112, 598)(81, 567, 113, 599)(82, 568, 114, 600)(83, 569, 115, 601)(84, 570, 116, 602)(85, 571, 117, 603)(86, 572, 118, 604)(87, 573, 119, 605)(88, 574, 120, 606)(89, 575, 121, 607)(90, 576, 122, 608)(123, 609, 187, 673)(124, 610, 188, 674)(125, 611, 189, 675)(126, 612, 190, 676)(127, 613, 191, 677)(128, 614, 192, 678)(129, 615, 193, 679)(130, 616, 194, 680)(131, 617, 195, 681)(132, 618, 196, 682)(133, 619, 197, 683)(134, 620, 198, 684)(135, 621, 199, 685)(136, 622, 200, 686)(137, 623, 201, 687)(138, 624, 202, 688)(139, 625, 203, 689)(140, 626, 204, 690)(141, 627, 205, 691)(142, 628, 206, 692)(143, 629, 207, 693)(144, 630, 208, 694)(145, 631, 209, 695)(146, 632, 210, 696)(147, 633, 211, 697)(148, 634, 212, 698)(149, 635, 213, 699)(150, 636, 214, 700)(151, 637, 215, 701)(152, 638, 216, 702)(153, 639, 217, 703)(154, 640, 218, 704)(155, 641, 305, 791)(156, 642, 307, 793)(157, 643, 278, 764)(158, 644, 246, 732)(159, 645, 309, 795)(160, 646, 310, 796)(161, 647, 274, 760)(162, 648, 312, 798)(163, 649, 275, 761)(164, 650, 314, 800)(165, 651, 315, 801)(166, 652, 317, 803)(167, 653, 283, 769)(168, 654, 251, 737)(169, 655, 321, 807)(170, 656, 322, 808)(171, 657, 323, 809)(172, 658, 325, 811)(173, 659, 327, 813)(174, 660, 270, 756)(175, 661, 328, 814)(176, 662, 329, 815)(177, 663, 248, 734)(178, 664, 280, 766)(179, 665, 249, 735)(180, 666, 281, 767)(181, 667, 332, 818)(182, 668, 334, 820)(183, 669, 336, 822)(184, 670, 271, 757)(185, 671, 339, 825)(186, 672, 340, 826)(219, 705, 373, 859)(220, 706, 375, 861)(221, 707, 316, 802)(222, 708, 378, 864)(223, 709, 293, 779)(224, 710, 381, 867)(225, 711, 383, 869)(226, 712, 385, 871)(227, 713, 387, 873)(228, 714, 365, 851)(229, 715, 301, 787)(230, 716, 391, 877)(231, 717, 273, 759)(232, 718, 394, 880)(233, 719, 333, 819)(234, 720, 397, 883)(235, 721, 267, 753)(236, 722, 363, 849)(237, 723, 318, 804)(238, 724, 286, 772)(239, 725, 403, 889)(240, 726, 348, 834)(241, 727, 294, 780)(242, 728, 279, 765)(243, 729, 406, 892)(244, 730, 408, 894)(245, 731, 369, 855)(247, 733, 254, 740)(250, 736, 412, 898)(252, 738, 346, 832)(253, 739, 414, 900)(255, 741, 417, 903)(256, 742, 418, 904)(257, 743, 302, 788)(258, 744, 419, 905)(259, 745, 263, 749)(260, 746, 420, 906)(261, 747, 335, 821)(262, 748, 359, 845)(264, 750, 421, 907)(265, 751, 400, 886)(266, 752, 422, 908)(268, 754, 423, 909)(269, 755, 395, 881)(272, 758, 424, 910)(276, 762, 425, 911)(277, 763, 409, 895)(282, 768, 343, 829)(284, 770, 426, 912)(285, 771, 405, 891)(287, 773, 427, 913)(288, 774, 428, 914)(289, 775, 382, 868)(290, 776, 407, 893)(291, 777, 429, 915)(292, 778, 430, 916)(295, 781, 345, 831)(296, 782, 431, 917)(297, 783, 392, 878)(298, 784, 326, 812)(299, 785, 432, 918)(300, 786, 338, 824)(303, 789, 362, 848)(304, 790, 331, 817)(306, 792, 379, 865)(308, 794, 404, 890)(311, 797, 445, 931)(313, 799, 446, 932)(319, 805, 439, 925)(320, 806, 450, 936)(324, 810, 398, 884)(330, 816, 465, 951)(337, 823, 459, 945)(341, 827, 433, 919)(342, 828, 389, 875)(344, 830, 399, 885)(347, 833, 436, 922)(349, 835, 454, 940)(350, 836, 413, 899)(351, 837, 442, 928)(352, 838, 453, 939)(353, 839, 455, 941)(354, 840, 451, 937)(355, 841, 461, 947)(356, 842, 438, 924)(357, 843, 435, 921)(358, 844, 402, 888)(360, 846, 411, 897)(361, 847, 467, 953)(364, 850, 447, 933)(366, 852, 469, 955)(367, 853, 449, 935)(368, 854, 441, 927)(370, 856, 456, 942)(371, 857, 452, 938)(372, 858, 466, 952)(374, 860, 471, 957)(376, 862, 485, 971)(377, 863, 478, 964)(380, 866, 486, 972)(384, 870, 448, 934)(386, 872, 434, 920)(388, 874, 473, 959)(390, 876, 440, 926)(393, 879, 437, 923)(396, 882, 475, 961)(401, 887, 480, 966)(410, 896, 482, 968)(415, 901, 460, 946)(416, 902, 457, 943)(443, 929, 474, 960)(444, 930, 483, 969)(458, 944, 481, 967)(462, 948, 472, 958)(463, 949, 479, 965)(464, 950, 477, 963)(468, 954, 476, 962)(470, 956, 484, 970)(973, 1459, 975, 1461, 976, 1462)(974, 1460, 977, 1463, 978, 1464)(979, 1465, 983, 1469, 984, 1470)(980, 1466, 985, 1471, 986, 1472)(981, 1467, 987, 1473, 988, 1474)(982, 1468, 989, 1475, 990, 1476)(991, 1477, 999, 1485, 1000, 1486)(992, 1478, 1001, 1487, 1002, 1488)(993, 1479, 1003, 1489, 1004, 1490)(994, 1480, 1005, 1491, 1006, 1492)(995, 1481, 1007, 1493, 1008, 1494)(996, 1482, 1009, 1495, 1010, 1496)(997, 1483, 1011, 1497, 1012, 1498)(998, 1484, 1013, 1499, 1014, 1500)(1015, 1501, 1031, 1517, 1032, 1518)(1016, 1502, 1033, 1519, 1034, 1520)(1017, 1503, 1035, 1521, 1036, 1522)(1018, 1504, 1037, 1523, 1038, 1524)(1019, 1505, 1039, 1525, 1040, 1526)(1020, 1506, 1041, 1527, 1042, 1528)(1021, 1507, 1043, 1529, 1044, 1530)(1022, 1508, 1045, 1531, 1046, 1532)(1023, 1509, 1047, 1533, 1048, 1534)(1024, 1510, 1049, 1535, 1050, 1536)(1025, 1511, 1051, 1537, 1052, 1538)(1026, 1512, 1053, 1539, 1054, 1540)(1027, 1513, 1055, 1541, 1056, 1542)(1028, 1514, 1057, 1543, 1058, 1544)(1029, 1515, 1059, 1545, 1060, 1546)(1030, 1516, 1061, 1547, 1062, 1548)(1063, 1549, 1095, 1581, 1096, 1582)(1064, 1550, 1097, 1583, 1098, 1584)(1065, 1551, 1099, 1585, 1100, 1586)(1066, 1552, 1101, 1587, 1102, 1588)(1067, 1553, 1103, 1589, 1104, 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1673, 1341, 1827, 1381, 1867)(1188, 1674, 1238, 1724, 1230, 1716)(1189, 1675, 1332, 1818, 1404, 1890)(1190, 1676, 1343, 1829, 1456, 1942)(1191, 1677, 1193, 1679, 1194, 1680)(1192, 1678, 1195, 1681, 1196, 1682)(1197, 1683, 1201, 1687, 1202, 1688)(1198, 1684, 1203, 1689, 1204, 1690)(1199, 1685, 1205, 1691, 1206, 1692)(1200, 1686, 1207, 1693, 1208, 1694)(1209, 1695, 1217, 1703, 1218, 1704)(1210, 1696, 1219, 1705, 1220, 1706)(1211, 1697, 1221, 1707, 1222, 1708)(1212, 1698, 1223, 1709, 1224, 1710)(1233, 1719, 1241, 1727, 1242, 1728)(1234, 1720, 1243, 1729, 1244, 1730)(1235, 1721, 1245, 1731, 1246, 1732)(1236, 1722, 1247, 1733, 1248, 1734)(1249, 1735, 1261, 1747, 1262, 1748)(1250, 1736, 1263, 1749, 1264, 1750)(1251, 1737, 1265, 1751, 1266, 1752)(1252, 1738, 1267, 1753, 1268, 1754)(1253, 1739, 1269, 1755, 1270, 1756)(1254, 1740, 1271, 1757, 1272, 1758)(1255, 1741, 1273, 1759, 1274, 1760)(1256, 1742, 1275, 1761, 1276, 1762)(1257, 1743, 1278, 1764, 1280, 1766)(1258, 1744, 1288, 1774, 1290, 1776)(1259, 1745, 1302, 1788, 1303, 1789)(1260, 1746, 1309, 1795, 1310, 1796)(1277, 1763, 1405, 1891, 1407, 1893)(1279, 1765, 1399, 1885, 1389, 1875)(1281, 1767, 1411, 1897, 1412, 1898)(1282, 1768, 1414, 1900, 1415, 1901)(1284, 1770, 1374, 1860, 1383, 1869)(1286, 1772, 1385, 1871, 1376, 1862)(1287, 1773, 1408, 1894, 1419, 1905)(1289, 1775, 1390, 1876, 1400, 1886)(1293, 1779, 1409, 1895, 1417, 1903)(1294, 1780, 1416, 1902, 1424, 1910)(1295, 1781, 1425, 1911, 1427, 1913)(1297, 1783, 1391, 1877, 1363, 1849)(1299, 1785, 1373, 1859, 1382, 1868)(1300, 1786, 1431, 1917, 1432, 1918)(1301, 1787, 1434, 1920, 1435, 1921)(1304, 1790, 1428, 1914, 1438, 1924)(1306, 1792, 1366, 1852, 1392, 1878)(1308, 1794, 1386, 1872, 1377, 1863)(1311, 1797, 1429, 1915, 1437, 1923)(1312, 1798, 1436, 1922, 1442, 1928)(1314, 1800, 1443, 1929, 1445, 1931)(1320, 1806, 1350, 1836, 1375, 1861)(1325, 1811, 1448, 1934, 1397, 1883)(1326, 1812, 1446, 1932, 1396, 1882)(1330, 1816, 1450, 1936, 1452, 1938)(1337, 1823, 1345, 1831, 1359, 1845)(1340, 1826, 1455, 1941, 1403, 1889)(1342, 1828, 1453, 1939, 1402, 1888)(1346, 1832, 1349, 1835, 1351, 1837)(1347, 1833, 1355, 1841, 1357, 1843)(1348, 1834, 1352, 1838, 1354, 1840)(1353, 1839, 1378, 1864, 1380, 1866)(1356, 1842, 1362, 1848, 1364, 1850)(1358, 1844, 1365, 1851, 1367, 1853)(1360, 1846, 1368, 1854, 1370, 1856)(1361, 1847, 1371, 1857, 1372, 1858)(1394, 1880, 1423, 1909, 1410, 1896)(1395, 1881, 1421, 1907, 1413, 1899)(1406, 1892, 1457, 1943, 1420, 1906)(1418, 1904, 1441, 1927, 1430, 1916)(1422, 1908, 1440, 1926, 1433, 1919)(1426, 1912, 1458, 1944, 1439, 1925)
	L = (1, 974)(2, 973)(3, 979)(4, 980)(5, 981)(6, 982)(7, 975)(8, 976)(9, 977)(10, 978)(11, 991)(12, 992)(13, 993)(14, 994)(15, 995)(16, 996)(17, 997)(18, 998)(19, 983)(20, 984)(21, 985)(22, 986)(23, 987)(24, 988)(25, 989)(26, 990)(27, 1015)(28, 1016)(29, 1017)(30, 1018)(31, 1019)(32, 1020)(33, 1021)(34, 1022)(35, 1023)(36, 1024)(37, 1025)(38, 1026)(39, 1027)(40, 1028)(41, 1029)(42, 1030)(43, 999)(44, 1000)(45, 1001)(46, 1002)(47, 1003)(48, 1004)(49, 1005)(50, 1006)(51, 1007)(52, 1008)(53, 1009)(54, 1010)(55, 1011)(56, 1012)(57, 1013)(58, 1014)(59, 1063)(60, 1064)(61, 1065)(62, 1066)(63, 1067)(64, 1068)(65, 1069)(66, 1070)(67, 1071)(68, 1072)(69, 1073)(70, 1074)(71, 1075)(72, 1076)(73, 1077)(74, 1078)(75, 1079)(76, 1080)(77, 1081)(78, 1082)(79, 1083)(80, 1084)(81, 1085)(82, 1086)(83, 1087)(84, 1088)(85, 1089)(86, 1090)(87, 1091)(88, 1092)(89, 1093)(90, 1094)(91, 1031)(92, 1032)(93, 1033)(94, 1034)(95, 1035)(96, 1036)(97, 1037)(98, 1038)(99, 1039)(100, 1040)(101, 1041)(102, 1042)(103, 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	local type(s) :: { ( 2, 36, 2, 36 ), ( 2, 36, 2, 36, 2, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.3290
Graph:: bipartite
	v = 405 e = 972 f = 513
	degree seq :: [ 4^243, 6^162 ]

E28.3288 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 18})
Quotient :: dipole
Aut^+ = ((C3 x ((C3 x C3) : C3)) : C3) : C2 (small group id <486, 5>)
Aut   = $<972, 100>$ (small group id <972, 100>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^3, (R * Y1)^2, (Y2 * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y1^-1 * Y2 * Y1 * Y2 * Y1^-1, Y2^-6 * Y1^-1 * Y2^5 * Y1^-1 * Y2^-1, (Y2^3 * Y1^-1 * Y2)^3, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-5 * Y1 * Y2 * Y1^-1 * Y2^4 * Y1^-1, Y2 * Y1^-1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^2 * Y1^-1 * Y2^2 * Y1^-1 * Y2^3 * Y1^-1, Y2 * Y1^-1 * Y2^-2 * Y1 * Y2^2 * Y1^-1 * Y2^-3 * Y1^-1 * Y2 * Y1^-1 * Y2^-3 * Y1^-1, Y2^2 * Y1^-1 * Y2^2 * Y1^-1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-3 * Y1^-1 * Y2 * Y1^-1 ]
Map::
	R = (1, 487, 2, 488, 4, 490)(3, 489, 8, 494, 10, 496)(5, 491, 12, 498, 6, 492)(7, 493, 15, 501, 11, 497)(9, 495, 18, 504, 20, 506)(13, 499, 25, 511, 23, 509)(14, 500, 24, 510, 28, 514)(16, 502, 31, 517, 29, 515)(17, 503, 33, 519, 21, 507)(19, 505, 36, 522, 38, 524)(22, 508, 30, 516, 42, 528)(26, 512, 47, 533, 45, 531)(27, 513, 49, 535, 51, 537)(32, 518, 57, 543, 55, 541)(34, 520, 61, 547, 59, 545)(35, 521, 63, 549, 39, 525)(37, 523, 66, 552, 68, 554)(40, 526, 60, 546, 72, 558)(41, 527, 73, 559, 75, 561)(43, 529, 46, 532, 78, 564)(44, 530, 79, 565, 52, 538)(48, 534, 85, 571, 83, 569)(50, 536, 88, 574, 90, 576)(53, 539, 56, 542, 94, 580)(54, 540, 95, 581, 76, 562)(58, 544, 101, 587, 99, 585)(62, 548, 107, 593, 105, 591)(64, 550, 111, 597, 109, 595)(65, 551, 113, 599, 69, 555)(67, 553, 116, 602, 118, 604)(70, 556, 110, 596, 122, 608)(71, 557, 123, 609, 125, 611)(74, 560, 128, 614, 130, 616)(77, 563, 133, 619, 135, 621)(80, 566, 139, 625, 137, 623)(81, 567, 84, 570, 142, 628)(82, 568, 143, 629, 136, 622)(86, 572, 149, 635, 147, 633)(87, 573, 151, 637, 91, 577)(89, 575, 154, 640, 156, 642)(92, 578, 138, 624, 160, 646)(93, 579, 161, 647, 163, 649)(96, 582, 167, 653, 165, 651)(97, 583, 100, 586, 170, 656)(98, 584, 171, 657, 164, 650)(102, 588, 177, 663, 175, 661)(103, 589, 106, 592, 180, 666)(104, 590, 181, 667, 126, 612)(108, 594, 187, 673, 185, 671)(112, 598, 193, 679, 191, 677)(114, 600, 197, 683, 195, 681)(115, 601, 199, 685, 119, 605)(117, 603, 155, 641, 203, 689)(120, 606, 196, 682, 207, 693)(121, 607, 208, 694, 210, 696)(124, 610, 213, 699, 215, 701)(127, 613, 218, 704, 131, 617)(129, 615, 221, 707, 202, 688)(132, 618, 166, 652, 225, 711)(134, 620, 227, 713, 228, 714)(140, 626, 235, 721, 233, 719)(141, 627, 237, 723, 238, 724)(144, 630, 242, 728, 240, 726)(145, 631, 148, 634, 244, 730)(146, 632, 245, 731, 239, 725)(150, 636, 178, 664, 188, 674)(152, 638, 251, 737, 249, 735)(153, 639, 253, 739, 157, 643)(158, 644, 250, 736, 259, 745)(159, 645, 260, 746, 262, 748)(162, 648, 265, 751, 266, 752)(168, 654, 273, 759, 271, 757)(169, 655, 275, 761, 276, 762)(172, 658, 280, 766, 278, 764)(173, 659, 176, 662, 282, 768)(174, 660, 283, 769, 277, 763)(179, 665, 286, 772, 288, 774)(182, 668, 292, 778, 290, 776)(183, 669, 186, 672, 295, 781)(184, 670, 296, 782, 289, 775)(189, 675, 192, 678, 300, 786)(190, 676, 301, 787, 211, 697)(194, 680, 248, 734, 305, 791)(198, 684, 311, 797, 309, 795)(200, 686, 314, 800, 312, 798)(201, 687, 315, 801, 204, 690)(205, 691, 313, 799, 318, 804)(206, 692, 319, 805, 320, 806)(209, 695, 323, 809, 243, 729)(212, 698, 327, 813, 216, 702)(214, 700, 330, 816, 316, 802)(217, 703, 291, 777, 333, 819)(219, 705, 336, 822, 334, 820)(220, 706, 337, 823, 222, 708)(223, 709, 335, 821, 338, 824)(224, 710, 339, 825, 341, 827)(226, 712, 343, 829, 229, 715)(230, 716, 241, 727, 348, 834)(231, 717, 234, 720, 350, 836)(232, 718, 351, 837, 263, 749)(236, 722, 285, 771, 354, 840)(246, 732, 329, 815, 363, 849)(247, 733, 365, 851, 362, 848)(252, 738, 371, 857, 369, 855)(254, 740, 374, 860, 372, 858)(255, 741, 375, 861, 256, 742)(257, 743, 373, 859, 376, 862)(258, 744, 377, 863, 378, 864)(261, 747, 381, 867, 281, 767)(264, 750, 385, 871, 267, 753)(268, 754, 279, 765, 390, 876)(269, 755, 272, 758, 392, 878)(270, 756, 393, 879, 342, 828)(274, 760, 298, 784, 396, 882)(284, 770, 345, 831, 404, 890)(287, 773, 408, 894, 409, 895)(293, 779, 340, 826, 414, 900)(294, 780, 417, 903, 418, 904)(297, 783, 387, 873, 419, 905)(299, 785, 367, 853, 370, 856)(302, 788, 399, 885, 405, 891)(303, 789, 306, 792, 424, 910)(304, 790, 400, 886, 402, 888)(307, 793, 310, 796, 391, 877)(308, 794, 389, 875, 321, 807)(317, 803, 382, 868, 403, 889)(322, 808, 388, 874, 325, 811)(324, 810, 361, 847, 406, 892)(326, 812, 384, 870, 437, 923)(328, 814, 398, 884, 397, 883)(331, 817, 383, 869, 380, 866)(332, 818, 379, 865, 368, 854)(344, 830, 410, 896, 407, 893)(346, 832, 445, 931, 443, 929)(347, 833, 442, 928, 440, 926)(349, 835, 439, 925, 441, 927)(352, 838, 411, 897, 420, 906)(353, 839, 412, 898, 415, 901)(355, 841, 386, 872, 356, 842)(357, 843, 364, 850, 394, 880)(358, 844, 360, 846, 395, 881)(359, 845, 401, 887, 413, 899)(366, 852, 444, 930, 416, 902)(421, 907, 453, 939, 450, 936)(422, 908, 438, 924, 451, 937)(423, 909, 472, 958, 463, 949)(425, 911, 466, 952, 464, 950)(426, 912, 457, 943, 455, 941)(427, 913, 429, 915, 460, 946)(428, 914, 471, 957, 461, 947)(430, 916, 432, 918, 469, 955)(431, 917, 468, 954, 433, 919)(434, 920, 467, 953, 435, 921)(436, 922, 470, 956, 462, 948)(446, 932, 477, 963, 465, 951)(447, 933, 478, 964, 452, 938)(448, 934, 459, 945, 458, 944)(449, 935, 454, 940, 456, 942)(473, 959, 479, 965, 485, 971)(474, 960, 480, 966, 486, 972)(475, 961, 481, 967, 483, 969)(476, 962, 482, 968, 484, 970)(973, 1459, 975, 1461, 981, 1467, 991, 1477, 1009, 1495, 1039, 1525, 1089, 1575, 1174, 1660, 1288, 1774, 1378, 1864, 1257, 1743, 1149, 1635, 1122, 1608, 1058, 1544, 1020, 1506, 998, 1484, 985, 1471, 977, 1463)(974, 1460, 978, 1464, 986, 1472, 999, 1485, 1022, 1508, 1061, 1547, 1127, 1613, 1090, 1576, 1176, 1662, 1289, 1775, 1270, 1756, 1159, 1645, 1150, 1636, 1074, 1560, 1030, 1516, 1004, 1490, 988, 1474, 979, 1465)(976, 1462, 983, 1469, 994, 1480, 1013, 1499, 1046, 1532, 1101, 1587, 1175, 1661, 1128, 1614, 1228, 1714, 1338, 1824, 1220, 1706, 1121, 1607, 1160, 1646, 1080, 1566, 1034, 1520, 1006, 1492, 989, 1475, 980, 1466)(982, 1468, 993, 1479, 1012, 1498, 1043, 1529, 1096, 1582, 1186, 1672, 1193, 1679, 1102, 1588, 1194, 1680, 1219, 1705, 1120, 1606, 1057, 1543, 1119, 1605, 1166, 1652, 1084, 1570, 1036, 1522, 1007, 1493, 990, 1476)(984, 1470, 995, 1481, 1015, 1501, 1049, 1535, 1106, 1592, 1173, 1659, 1088, 1574, 1040, 1526, 1091, 1577, 1177, 1663, 1148, 1634, 1073, 1559, 1147, 1633, 1208, 1694, 1112, 1598, 1052, 1538, 1016, 1502, 996, 1482)(987, 1473, 1001, 1487, 1025, 1511, 1065, 1551, 1134, 1620, 1227, 1713, 1126, 1612, 1062, 1548, 1129, 1615, 1229, 1715, 1158, 1644, 1079, 1565, 1157, 1643, 1246, 1732, 1140, 1626, 1068, 1554, 1026, 1512, 1002, 1488)(992, 1478, 1011, 1497, 1042, 1528, 1093, 1579, 1181, 1667, 1296, 1782, 1302, 1788, 1187, 1673, 1218, 1704, 1118, 1604, 1056, 1542, 1019, 1505, 1055, 1541, 1117, 1603, 1170, 1656, 1086, 1572, 1037, 1523, 1008, 1494)(997, 1483, 1017, 1503, 1053, 1539, 1113, 1599, 1172, 1658, 1087, 1573, 1038, 1524, 1010, 1496, 1041, 1527, 1092, 1578, 1178, 1664, 1207, 1693, 1326, 1812, 1333, 1819, 1215, 1701, 1116, 1602, 1054, 1540, 1018, 1504)(1000, 1486, 1024, 1510, 1064, 1550, 1131, 1617, 1233, 1719, 1354, 1840, 1287, 1773, 1200, 1686, 1256, 1742, 1146, 1632, 1072, 1558, 1029, 1515, 1071, 1557, 1145, 1631, 1224, 1710, 1124, 1610, 1059, 1545, 1021, 1507)(1003, 1489, 1027, 1513, 1069, 1555, 1141, 1627, 1226, 1712, 1125, 1611, 1060, 1546, 1023, 1509, 1063, 1549, 1130, 1616, 1230, 1716, 1245, 1731, 1368, 1854, 1375, 1861, 1253, 1739, 1144, 1630, 1070, 1556, 1028, 1514)(1005, 1491, 1031, 1517, 1075, 1561, 1151, 1637, 1259, 1745, 1192, 1678, 1100, 1586, 1047, 1533, 1103, 1589, 1195, 1681, 1278, 1764, 1165, 1651, 1277, 1763, 1388, 1874, 1265, 1751, 1154, 1640, 1076, 1562, 1032, 1518)(1014, 1500, 1048, 1534, 1104, 1590, 1196, 1682, 1312, 1798, 1416, 1902, 1347, 1833, 1238, 1724, 1269, 1755, 1156, 1642, 1078, 1564, 1033, 1519, 1077, 1563, 1155, 1641, 1266, 1752, 1191, 1677, 1099, 1585, 1045, 1531)(1035, 1521, 1081, 1567, 1161, 1647, 1271, 1757, 1393, 1879, 1301, 1787, 1185, 1671, 1097, 1583, 1188, 1674, 1303, 1789, 1401, 1887, 1283, 1769, 1216, 1702, 1334, 1820, 1394, 1880, 1274, 1760, 1162, 1648, 1082, 1568)(1044, 1530, 1098, 1584, 1189, 1675, 1304, 1790, 1410, 1896, 1337, 1823, 1309, 1795, 1381, 1867, 1397, 1883, 1276, 1762, 1164, 1650, 1083, 1569, 1163, 1649, 1275, 1761, 1395, 1881, 1300, 1786, 1184, 1670, 1095, 1581)(1050, 1536, 1108, 1594, 1202, 1688, 1319, 1805, 1403, 1889, 1285, 1771, 1171, 1657, 1284, 1770, 1402, 1888, 1325, 1811, 1206, 1692, 1111, 1597, 1205, 1691, 1292, 1778, 1407, 1893, 1316, 1802, 1198, 1684, 1105, 1591)(1051, 1537, 1109, 1595, 1203, 1689, 1321, 1807, 1418, 1904, 1317, 1803, 1199, 1685, 1107, 1593, 1201, 1687, 1318, 1804, 1419, 1905, 1343, 1829, 1254, 1740, 1290, 1776, 1405, 1891, 1324, 1810, 1204, 1690, 1110, 1596)(1066, 1552, 1136, 1622, 1240, 1726, 1361, 1847, 1427, 1913, 1345, 1831, 1225, 1711, 1344, 1830, 1426, 1912, 1367, 1853, 1244, 1730, 1139, 1625, 1243, 1729, 1350, 1836, 1431, 1917, 1358, 1844, 1236, 1722, 1133, 1619)(1067, 1553, 1137, 1623, 1241, 1727, 1363, 1849, 1433, 1919, 1359, 1845, 1237, 1723, 1135, 1621, 1239, 1725, 1360, 1846, 1434, 1920, 1389, 1875, 1267, 1753, 1348, 1834, 1429, 1915, 1366, 1852, 1242, 1728, 1138, 1624)(1085, 1571, 1167, 1653, 1279, 1765, 1364, 1850, 1332, 1818, 1214, 1700, 1295, 1781, 1182, 1668, 1297, 1783, 1357, 1843, 1327, 1813, 1209, 1695, 1114, 1600, 1211, 1697, 1329, 1815, 1398, 1884, 1280, 1766, 1168, 1654)(1094, 1580, 1183, 1669, 1298, 1784, 1365, 1851, 1336, 1822, 1217, 1703, 1335, 1821, 1422, 1908, 1446, 1932, 1400, 1886, 1282, 1768, 1169, 1655, 1281, 1767, 1399, 1885, 1445, 1931, 1408, 1894, 1294, 1780, 1180, 1666)(1115, 1601, 1212, 1698, 1330, 1816, 1421, 1907, 1447, 1933, 1404, 1890, 1286, 1772, 1210, 1696, 1328, 1814, 1420, 1906, 1448, 1934, 1406, 1892, 1291, 1777, 1179, 1665, 1293, 1779, 1362, 1848, 1331, 1817, 1213, 1699)(1123, 1609, 1221, 1707, 1339, 1825, 1272, 1758, 1374, 1860, 1252, 1738, 1353, 1839, 1234, 1720, 1355, 1841, 1299, 1785, 1369, 1855, 1247, 1733, 1142, 1628, 1249, 1735, 1371, 1857, 1423, 1909, 1340, 1826, 1222, 1708)(1132, 1618, 1235, 1721, 1356, 1842, 1273, 1759, 1377, 1863, 1255, 1741, 1376, 1862, 1437, 1923, 1452, 1938, 1425, 1911, 1342, 1828, 1223, 1709, 1341, 1827, 1424, 1910, 1451, 1937, 1432, 1918, 1352, 1838, 1232, 1718)(1143, 1629, 1250, 1736, 1372, 1858, 1436, 1922, 1453, 1939, 1428, 1914, 1346, 1832, 1248, 1734, 1370, 1856, 1435, 1921, 1454, 1940, 1430, 1916, 1349, 1835, 1231, 1717, 1351, 1837, 1305, 1791, 1373, 1859, 1251, 1737)(1152, 1638, 1261, 1747, 1383, 1869, 1440, 1926, 1412, 1898, 1307, 1793, 1190, 1676, 1306, 1792, 1411, 1897, 1322, 1808, 1387, 1873, 1264, 1750, 1386, 1872, 1313, 1799, 1417, 1903, 1315, 1801, 1379, 1865, 1258, 1744)(1153, 1639, 1262, 1748, 1384, 1870, 1441, 1927, 1455, 1941, 1438, 1924, 1380, 1866, 1260, 1746, 1382, 1868, 1439, 1925, 1456, 1942, 1444, 1930, 1396, 1882, 1310, 1796, 1414, 1900, 1320, 1806, 1385, 1871, 1263, 1749)(1197, 1683, 1314, 1800, 1409, 1895, 1323, 1809, 1392, 1878, 1268, 1754, 1391, 1877, 1443, 1929, 1458, 1944, 1449, 1935, 1413, 1899, 1308, 1794, 1390, 1876, 1442, 1928, 1457, 1943, 1450, 1936, 1415, 1901, 1311, 1797)
	L = (1, 975)(2, 978)(3, 981)(4, 983)(5, 973)(6, 986)(7, 974)(8, 976)(9, 991)(10, 993)(11, 994)(12, 995)(13, 977)(14, 999)(15, 1001)(16, 979)(17, 980)(18, 982)(19, 1009)(20, 1011)(21, 1012)(22, 1013)(23, 1015)(24, 984)(25, 1017)(26, 985)(27, 1022)(28, 1024)(29, 1025)(30, 987)(31, 1027)(32, 988)(33, 1031)(34, 989)(35, 990)(36, 992)(37, 1039)(38, 1041)(39, 1042)(40, 1043)(41, 1046)(42, 1048)(43, 1049)(44, 996)(45, 1053)(46, 997)(47, 1055)(48, 998)(49, 1000)(50, 1061)(51, 1063)(52, 1064)(53, 1065)(54, 1002)(55, 1069)(56, 1003)(57, 1071)(58, 1004)(59, 1075)(60, 1005)(61, 1077)(62, 1006)(63, 1081)(64, 1007)(65, 1008)(66, 1010)(67, 1089)(68, 1091)(69, 1092)(70, 1093)(71, 1096)(72, 1098)(73, 1014)(74, 1101)(75, 1103)(76, 1104)(77, 1106)(78, 1108)(79, 1109)(80, 1016)(81, 1113)(82, 1018)(83, 1117)(84, 1019)(85, 1119)(86, 1020)(87, 1021)(88, 1023)(89, 1127)(90, 1129)(91, 1130)(92, 1131)(93, 1134)(94, 1136)(95, 1137)(96, 1026)(97, 1141)(98, 1028)(99, 1145)(100, 1029)(101, 1147)(102, 1030)(103, 1151)(104, 1032)(105, 1155)(106, 1033)(107, 1157)(108, 1034)(109, 1161)(110, 1035)(111, 1163)(112, 1036)(113, 1167)(114, 1037)(115, 1038)(116, 1040)(117, 1174)(118, 1176)(119, 1177)(120, 1178)(121, 1181)(122, 1183)(123, 1044)(124, 1186)(125, 1188)(126, 1189)(127, 1045)(128, 1047)(129, 1175)(130, 1194)(131, 1195)(132, 1196)(133, 1050)(134, 1173)(135, 1201)(136, 1202)(137, 1203)(138, 1051)(139, 1205)(140, 1052)(141, 1172)(142, 1211)(143, 1212)(144, 1054)(145, 1170)(146, 1056)(147, 1166)(148, 1057)(149, 1160)(150, 1058)(151, 1221)(152, 1059)(153, 1060)(154, 1062)(155, 1090)(156, 1228)(157, 1229)(158, 1230)(159, 1233)(160, 1235)(161, 1066)(162, 1227)(163, 1239)(164, 1240)(165, 1241)(166, 1067)(167, 1243)(168, 1068)(169, 1226)(170, 1249)(171, 1250)(172, 1070)(173, 1224)(174, 1072)(175, 1208)(176, 1073)(177, 1122)(178, 1074)(179, 1259)(180, 1261)(181, 1262)(182, 1076)(183, 1266)(184, 1078)(185, 1246)(186, 1079)(187, 1150)(188, 1080)(189, 1271)(190, 1082)(191, 1275)(192, 1083)(193, 1277)(194, 1084)(195, 1279)(196, 1085)(197, 1281)(198, 1086)(199, 1284)(200, 1087)(201, 1088)(202, 1288)(203, 1128)(204, 1289)(205, 1148)(206, 1207)(207, 1293)(208, 1094)(209, 1296)(210, 1297)(211, 1298)(212, 1095)(213, 1097)(214, 1193)(215, 1218)(216, 1303)(217, 1304)(218, 1306)(219, 1099)(220, 1100)(221, 1102)(222, 1219)(223, 1278)(224, 1312)(225, 1314)(226, 1105)(227, 1107)(228, 1256)(229, 1318)(230, 1319)(231, 1321)(232, 1110)(233, 1292)(234, 1111)(235, 1326)(236, 1112)(237, 1114)(238, 1328)(239, 1329)(240, 1330)(241, 1115)(242, 1295)(243, 1116)(244, 1334)(245, 1335)(246, 1118)(247, 1120)(248, 1121)(249, 1339)(250, 1123)(251, 1341)(252, 1124)(253, 1344)(254, 1125)(255, 1126)(256, 1338)(257, 1158)(258, 1245)(259, 1351)(260, 1132)(261, 1354)(262, 1355)(263, 1356)(264, 1133)(265, 1135)(266, 1269)(267, 1360)(268, 1361)(269, 1363)(270, 1138)(271, 1350)(272, 1139)(273, 1368)(274, 1140)(275, 1142)(276, 1370)(277, 1371)(278, 1372)(279, 1143)(280, 1353)(281, 1144)(282, 1290)(283, 1376)(284, 1146)(285, 1149)(286, 1152)(287, 1192)(288, 1382)(289, 1383)(290, 1384)(291, 1153)(292, 1386)(293, 1154)(294, 1191)(295, 1348)(296, 1391)(297, 1156)(298, 1159)(299, 1393)(300, 1374)(301, 1377)(302, 1162)(303, 1395)(304, 1164)(305, 1388)(306, 1165)(307, 1364)(308, 1168)(309, 1399)(310, 1169)(311, 1216)(312, 1402)(313, 1171)(314, 1210)(315, 1200)(316, 1378)(317, 1270)(318, 1405)(319, 1179)(320, 1407)(321, 1362)(322, 1180)(323, 1182)(324, 1302)(325, 1357)(326, 1365)(327, 1369)(328, 1184)(329, 1185)(330, 1187)(331, 1401)(332, 1410)(333, 1373)(334, 1411)(335, 1190)(336, 1390)(337, 1381)(338, 1414)(339, 1197)(340, 1416)(341, 1417)(342, 1409)(343, 1379)(344, 1198)(345, 1199)(346, 1419)(347, 1403)(348, 1385)(349, 1418)(350, 1387)(351, 1392)(352, 1204)(353, 1206)(354, 1333)(355, 1209)(356, 1420)(357, 1398)(358, 1421)(359, 1213)(360, 1214)(361, 1215)(362, 1394)(363, 1422)(364, 1217)(365, 1309)(366, 1220)(367, 1272)(368, 1222)(369, 1424)(370, 1223)(371, 1254)(372, 1426)(373, 1225)(374, 1248)(375, 1238)(376, 1429)(377, 1231)(378, 1431)(379, 1305)(380, 1232)(381, 1234)(382, 1287)(383, 1299)(384, 1273)(385, 1327)(386, 1236)(387, 1237)(388, 1434)(389, 1427)(390, 1331)(391, 1433)(392, 1332)(393, 1336)(394, 1242)(395, 1244)(396, 1375)(397, 1247)(398, 1435)(399, 1423)(400, 1436)(401, 1251)(402, 1252)(403, 1253)(404, 1437)(405, 1255)(406, 1257)(407, 1258)(408, 1260)(409, 1397)(410, 1439)(411, 1440)(412, 1441)(413, 1263)(414, 1313)(415, 1264)(416, 1265)(417, 1267)(418, 1442)(419, 1443)(420, 1268)(421, 1301)(422, 1274)(423, 1300)(424, 1310)(425, 1276)(426, 1280)(427, 1445)(428, 1282)(429, 1283)(430, 1325)(431, 1285)(432, 1286)(433, 1324)(434, 1291)(435, 1316)(436, 1294)(437, 1323)(438, 1337)(439, 1322)(440, 1307)(441, 1308)(442, 1320)(443, 1311)(444, 1347)(445, 1315)(446, 1317)(447, 1343)(448, 1448)(449, 1447)(450, 1446)(451, 1340)(452, 1451)(453, 1342)(454, 1367)(455, 1345)(456, 1346)(457, 1366)(458, 1349)(459, 1358)(460, 1352)(461, 1359)(462, 1389)(463, 1454)(464, 1453)(465, 1452)(466, 1380)(467, 1456)(468, 1412)(469, 1455)(470, 1457)(471, 1458)(472, 1396)(473, 1408)(474, 1400)(475, 1404)(476, 1406)(477, 1413)(478, 1415)(479, 1432)(480, 1425)(481, 1428)(482, 1430)(483, 1438)(484, 1444)(485, 1450)(486, 1449)(487, 1459)(488, 1460)(489, 1461)(490, 1462)(491, 1463)(492, 1464)(493, 1465)(494, 1466)(495, 1467)(496, 1468)(497, 1469)(498, 1470)(499, 1471)(500, 1472)(501, 1473)(502, 1474)(503, 1475)(504, 1476)(505, 1477)(506, 1478)(507, 1479)(508, 1480)(509, 1481)(510, 1482)(511, 1483)(512, 1484)(513, 1485)(514, 1486)(515, 1487)(516, 1488)(517, 1489)(518, 1490)(519, 1491)(520, 1492)(521, 1493)(522, 1494)(523, 1495)(524, 1496)(525, 1497)(526, 1498)(527, 1499)(528, 1500)(529, 1501)(530, 1502)(531, 1503)(532, 1504)(533, 1505)(534, 1506)(535, 1507)(536, 1508)(537, 1509)(538, 1510)(539, 1511)(540, 1512)(541, 1513)(542, 1514)(543, 1515)(544, 1516)(545, 1517)(546, 1518)(547, 1519)(548, 1520)(549, 1521)(550, 1522)(551, 1523)(552, 1524)(553, 1525)(554, 1526)(555, 1527)(556, 1528)(557, 1529)(558, 1530)(559, 1531)(560, 1532)(561, 1533)(562, 1534)(563, 1535)(564, 1536)(565, 1537)(566, 1538)(567, 1539)(568, 1540)(569, 1541)(570, 1542)(571, 1543)(572, 1544)(573, 1545)(574, 1546)(575, 1547)(576, 1548)(577, 1549)(578, 1550)(579, 1551)(580, 1552)(581, 1553)(582, 1554)(583, 1555)(584, 1556)(585, 1557)(586, 1558)(587, 1559)(588, 1560)(589, 1561)(590, 1562)(591, 1563)(592, 1564)(593, 1565)(594, 1566)(595, 1567)(596, 1568)(597, 1569)(598, 1570)(599, 1571)(600, 1572)(601, 1573)(602, 1574)(603, 1575)(604, 1576)(605, 1577)(606, 1578)(607, 1579)(608, 1580)(609, 1581)(610, 1582)(611, 1583)(612, 1584)(613, 1585)(614, 1586)(615, 1587)(616, 1588)(617, 1589)(618, 1590)(619, 1591)(620, 1592)(621, 1593)(622, 1594)(623, 1595)(624, 1596)(625, 1597)(626, 1598)(627, 1599)(628, 1600)(629, 1601)(630, 1602)(631, 1603)(632, 1604)(633, 1605)(634, 1606)(635, 1607)(636, 1608)(637, 1609)(638, 1610)(639, 1611)(640, 1612)(641, 1613)(642, 1614)(643, 1615)(644, 1616)(645, 1617)(646, 1618)(647, 1619)(648, 1620)(649, 1621)(650, 1622)(651, 1623)(652, 1624)(653, 1625)(654, 1626)(655, 1627)(656, 1628)(657, 1629)(658, 1630)(659, 1631)(660, 1632)(661, 1633)(662, 1634)(663, 1635)(664, 1636)(665, 1637)(666, 1638)(667, 1639)(668, 1640)(669, 1641)(670, 1642)(671, 1643)(672, 1644)(673, 1645)(674, 1646)(675, 1647)(676, 1648)(677, 1649)(678, 1650)(679, 1651)(680, 1652)(681, 1653)(682, 1654)(683, 1655)(684, 1656)(685, 1657)(686, 1658)(687, 1659)(688, 1660)(689, 1661)(690, 1662)(691, 1663)(692, 1664)(693, 1665)(694, 1666)(695, 1667)(696, 1668)(697, 1669)(698, 1670)(699, 1671)(700, 1672)(701, 1673)(702, 1674)(703, 1675)(704, 1676)(705, 1677)(706, 1678)(707, 1679)(708, 1680)(709, 1681)(710, 1682)(711, 1683)(712, 1684)(713, 1685)(714, 1686)(715, 1687)(716, 1688)(717, 1689)(718, 1690)(719, 1691)(720, 1692)(721, 1693)(722, 1694)(723, 1695)(724, 1696)(725, 1697)(726, 1698)(727, 1699)(728, 1700)(729, 1701)(730, 1702)(731, 1703)(732, 1704)(733, 1705)(734, 1706)(735, 1707)(736, 1708)(737, 1709)(738, 1710)(739, 1711)(740, 1712)(741, 1713)(742, 1714)(743, 1715)(744, 1716)(745, 1717)(746, 1718)(747, 1719)(748, 1720)(749, 1721)(750, 1722)(751, 1723)(752, 1724)(753, 1725)(754, 1726)(755, 1727)(756, 1728)(757, 1729)(758, 1730)(759, 1731)(760, 1732)(761, 1733)(762, 1734)(763, 1735)(764, 1736)(765, 1737)(766, 1738)(767, 1739)(768, 1740)(769, 1741)(770, 1742)(771, 1743)(772, 1744)(773, 1745)(774, 1746)(775, 1747)(776, 1748)(777, 1749)(778, 1750)(779, 1751)(780, 1752)(781, 1753)(782, 1754)(783, 1755)(784, 1756)(785, 1757)(786, 1758)(787, 1759)(788, 1760)(789, 1761)(790, 1762)(791, 1763)(792, 1764)(793, 1765)(794, 1766)(795, 1767)(796, 1768)(797, 1769)(798, 1770)(799, 1771)(800, 1772)(801, 1773)(802, 1774)(803, 1775)(804, 1776)(805, 1777)(806, 1778)(807, 1779)(808, 1780)(809, 1781)(810, 1782)(811, 1783)(812, 1784)(813, 1785)(814, 1786)(815, 1787)(816, 1788)(817, 1789)(818, 1790)(819, 1791)(820, 1792)(821, 1793)(822, 1794)(823, 1795)(824, 1796)(825, 1797)(826, 1798)(827, 1799)(828, 1800)(829, 1801)(830, 1802)(831, 1803)(832, 1804)(833, 1805)(834, 1806)(835, 1807)(836, 1808)(837, 1809)(838, 1810)(839, 1811)(840, 1812)(841, 1813)(842, 1814)(843, 1815)(844, 1816)(845, 1817)(846, 1818)(847, 1819)(848, 1820)(849, 1821)(850, 1822)(851, 1823)(852, 1824)(853, 1825)(854, 1826)(855, 1827)(856, 1828)(857, 1829)(858, 1830)(859, 1831)(860, 1832)(861, 1833)(862, 1834)(863, 1835)(864, 1836)(865, 1837)(866, 1838)(867, 1839)(868, 1840)(869, 1841)(870, 1842)(871, 1843)(872, 1844)(873, 1845)(874, 1846)(875, 1847)(876, 1848)(877, 1849)(878, 1850)(879, 1851)(880, 1852)(881, 1853)(882, 1854)(883, 1855)(884, 1856)(885, 1857)(886, 1858)(887, 1859)(888, 1860)(889, 1861)(890, 1862)(891, 1863)(892, 1864)(893, 1865)(894, 1866)(895, 1867)(896, 1868)(897, 1869)(898, 1870)(899, 1871)(900, 1872)(901, 1873)(902, 1874)(903, 1875)(904, 1876)(905, 1877)(906, 1878)(907, 1879)(908, 1880)(909, 1881)(910, 1882)(911, 1883)(912, 1884)(913, 1885)(914, 1886)(915, 1887)(916, 1888)(917, 1889)(918, 1890)(919, 1891)(920, 1892)(921, 1893)(922, 1894)(923, 1895)(924, 1896)(925, 1897)(926, 1898)(927, 1899)(928, 1900)(929, 1901)(930, 1902)(931, 1903)(932, 1904)(933, 1905)(934, 1906)(935, 1907)(936, 1908)(937, 1909)(938, 1910)(939, 1911)(940, 1912)(941, 1913)(942, 1914)(943, 1915)(944, 1916)(945, 1917)(946, 1918)(947, 1919)(948, 1920)(949, 1921)(950, 1922)(951, 1923)(952, 1924)(953, 1925)(954, 1926)(955, 1927)(956, 1928)(957, 1929)(958, 1930)(959, 1931)(960, 1932)(961, 1933)(962, 1934)(963, 1935)(964, 1936)(965, 1937)(966, 1938)(967, 1939)(968, 1940)(969, 1941)(970, 1942)(971, 1943)(972, 1944)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.3289
Graph:: bipartite
	v = 189 e = 972 f = 729
	degree seq :: [ 6^162, 36^27 ]

E28.3289 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 18})
Quotient :: dipole
Aut^+ = ((C3 x ((C3 x C3) : C3)) : C3) : C2 (small group id <486, 5>)
Aut   = $<972, 100>$ (small group id <972, 100>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^3, Y3^-4 * Y2 * Y3^6 * Y2 * Y3^-2, (Y3 * Y2 * Y3^-2 * Y2 * Y3)^3, Y3^3 * Y2 * Y3^4 * Y2 * Y3^-1 * Y2 * Y3^3 * Y2 * Y3^-1 * Y2 * Y3, Y3^2 * Y2 * Y3^2 * Y2 * Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-2 * Y2, Y3^-1 * Y2 * Y3^2 * Y2 * Y3^3 * Y2 * Y3^-3 * Y2 * Y3^-2 * Y2 * Y3^3 * Y2 * Y3^-2, (Y3^-1 * Y1^-1)^18 ]
Map:: polytopal
	R = (1, 487)(2, 488)(3, 489)(4, 490)(5, 491)(6, 492)(7, 493)(8, 494)(9, 495)(10, 496)(11, 497)(12, 498)(13, 499)(14, 500)(15, 501)(16, 502)(17, 503)(18, 504)(19, 505)(20, 506)(21, 507)(22, 508)(23, 509)(24, 510)(25, 511)(26, 512)(27, 513)(28, 514)(29, 515)(30, 516)(31, 517)(32, 518)(33, 519)(34, 520)(35, 521)(36, 522)(37, 523)(38, 524)(39, 525)(40, 526)(41, 527)(42, 528)(43, 529)(44, 530)(45, 531)(46, 532)(47, 533)(48, 534)(49, 535)(50, 536)(51, 537)(52, 538)(53, 539)(54, 540)(55, 541)(56, 542)(57, 543)(58, 544)(59, 545)(60, 546)(61, 547)(62, 548)(63, 549)(64, 550)(65, 551)(66, 552)(67, 553)(68, 554)(69, 555)(70, 556)(71, 557)(72, 558)(73, 559)(74, 560)(75, 561)(76, 562)(77, 563)(78, 564)(79, 565)(80, 566)(81, 567)(82, 568)(83, 569)(84, 570)(85, 571)(86, 572)(87, 573)(88, 574)(89, 575)(90, 576)(91, 577)(92, 578)(93, 579)(94, 580)(95, 581)(96, 582)(97, 583)(98, 584)(99, 585)(100, 586)(101, 587)(102, 588)(103, 589)(104, 590)(105, 591)(106, 592)(107, 593)(108, 594)(109, 595)(110, 596)(111, 597)(112, 598)(113, 599)(114, 600)(115, 601)(116, 602)(117, 603)(118, 604)(119, 605)(120, 606)(121, 607)(122, 608)(123, 609)(124, 610)(125, 611)(126, 612)(127, 613)(128, 614)(129, 615)(130, 616)(131, 617)(132, 618)(133, 619)(134, 620)(135, 621)(136, 622)(137, 623)(138, 624)(139, 625)(140, 626)(141, 627)(142, 628)(143, 629)(144, 630)(145, 631)(146, 632)(147, 633)(148, 634)(149, 635)(150, 636)(151, 637)(152, 638)(153, 639)(154, 640)(155, 641)(156, 642)(157, 643)(158, 644)(159, 645)(160, 646)(161, 647)(162, 648)(163, 649)(164, 650)(165, 651)(166, 652)(167, 653)(168, 654)(169, 655)(170, 656)(171, 657)(172, 658)(173, 659)(174, 660)(175, 661)(176, 662)(177, 663)(178, 664)(179, 665)(180, 666)(181, 667)(182, 668)(183, 669)(184, 670)(185, 671)(186, 672)(187, 673)(188, 674)(189, 675)(190, 676)(191, 677)(192, 678)(193, 679)(194, 680)(195, 681)(196, 682)(197, 683)(198, 684)(199, 685)(200, 686)(201, 687)(202, 688)(203, 689)(204, 690)(205, 691)(206, 692)(207, 693)(208, 694)(209, 695)(210, 696)(211, 697)(212, 698)(213, 699)(214, 700)(215, 701)(216, 702)(217, 703)(218, 704)(219, 705)(220, 706)(221, 707)(222, 708)(223, 709)(224, 710)(225, 711)(226, 712)(227, 713)(228, 714)(229, 715)(230, 716)(231, 717)(232, 718)(233, 719)(234, 720)(235, 721)(236, 722)(237, 723)(238, 724)(239, 725)(240, 726)(241, 727)(242, 728)(243, 729)(244, 730)(245, 731)(246, 732)(247, 733)(248, 734)(249, 735)(250, 736)(251, 737)(252, 738)(253, 739)(254, 740)(255, 741)(256, 742)(257, 743)(258, 744)(259, 745)(260, 746)(261, 747)(262, 748)(263, 749)(264, 750)(265, 751)(266, 752)(267, 753)(268, 754)(269, 755)(270, 756)(271, 757)(272, 758)(273, 759)(274, 760)(275, 761)(276, 762)(277, 763)(278, 764)(279, 765)(280, 766)(281, 767)(282, 768)(283, 769)(284, 770)(285, 771)(286, 772)(287, 773)(288, 774)(289, 775)(290, 776)(291, 777)(292, 778)(293, 779)(294, 780)(295, 781)(296, 782)(297, 783)(298, 784)(299, 785)(300, 786)(301, 787)(302, 788)(303, 789)(304, 790)(305, 791)(306, 792)(307, 793)(308, 794)(309, 795)(310, 796)(311, 797)(312, 798)(313, 799)(314, 800)(315, 801)(316, 802)(317, 803)(318, 804)(319, 805)(320, 806)(321, 807)(322, 808)(323, 809)(324, 810)(325, 811)(326, 812)(327, 813)(328, 814)(329, 815)(330, 816)(331, 817)(332, 818)(333, 819)(334, 820)(335, 821)(336, 822)(337, 823)(338, 824)(339, 825)(340, 826)(341, 827)(342, 828)(343, 829)(344, 830)(345, 831)(346, 832)(347, 833)(348, 834)(349, 835)(350, 836)(351, 837)(352, 838)(353, 839)(354, 840)(355, 841)(356, 842)(357, 843)(358, 844)(359, 845)(360, 846)(361, 847)(362, 848)(363, 849)(364, 850)(365, 851)(366, 852)(367, 853)(368, 854)(369, 855)(370, 856)(371, 857)(372, 858)(373, 859)(374, 860)(375, 861)(376, 862)(377, 863)(378, 864)(379, 865)(380, 866)(381, 867)(382, 868)(383, 869)(384, 870)(385, 871)(386, 872)(387, 873)(388, 874)(389, 875)(390, 876)(391, 877)(392, 878)(393, 879)(394, 880)(395, 881)(396, 882)(397, 883)(398, 884)(399, 885)(400, 886)(401, 887)(402, 888)(403, 889)(404, 890)(405, 891)(406, 892)(407, 893)(408, 894)(409, 895)(410, 896)(411, 897)(412, 898)(413, 899)(414, 900)(415, 901)(416, 902)(417, 903)(418, 904)(419, 905)(420, 906)(421, 907)(422, 908)(423, 909)(424, 910)(425, 911)(426, 912)(427, 913)(428, 914)(429, 915)(430, 916)(431, 917)(432, 918)(433, 919)(434, 920)(435, 921)(436, 922)(437, 923)(438, 924)(439, 925)(440, 926)(441, 927)(442, 928)(443, 929)(444, 930)(445, 931)(446, 932)(447, 933)(448, 934)(449, 935)(450, 936)(451, 937)(452, 938)(453, 939)(454, 940)(455, 941)(456, 942)(457, 943)(458, 944)(459, 945)(460, 946)(461, 947)(462, 948)(463, 949)(464, 950)(465, 951)(466, 952)(467, 953)(468, 954)(469, 955)(470, 956)(471, 957)(472, 958)(473, 959)(474, 960)(475, 961)(476, 962)(477, 963)(478, 964)(479, 965)(480, 966)(481, 967)(482, 968)(483, 969)(484, 970)(485, 971)(486, 972)(973, 1459, 974, 1460)(975, 1461, 979, 1465)(976, 1462, 981, 1467)(977, 1463, 983, 1469)(978, 1464, 985, 1471)(980, 1466, 988, 1474)(982, 1468, 991, 1477)(984, 1470, 994, 1480)(986, 1472, 997, 1483)(987, 1473, 999, 1485)(989, 1475, 1002, 1488)(990, 1476, 1004, 1490)(992, 1478, 1007, 1493)(993, 1479, 1009, 1495)(995, 1481, 1012, 1498)(996, 1482, 1014, 1500)(998, 1484, 1017, 1503)(1000, 1486, 1020, 1506)(1001, 1487, 1022, 1508)(1003, 1489, 1025, 1511)(1005, 1491, 1028, 1514)(1006, 1492, 1030, 1516)(1008, 1494, 1033, 1519)(1010, 1496, 1036, 1522)(1011, 1497, 1038, 1524)(1013, 1499, 1041, 1527)(1015, 1501, 1044, 1530)(1016, 1502, 1046, 1532)(1018, 1504, 1049, 1535)(1019, 1505, 1051, 1537)(1021, 1507, 1054, 1540)(1023, 1509, 1057, 1543)(1024, 1510, 1059, 1545)(1026, 1512, 1062, 1548)(1027, 1513, 1064, 1550)(1029, 1515, 1067, 1553)(1031, 1517, 1070, 1556)(1032, 1518, 1072, 1558)(1034, 1520, 1075, 1561)(1035, 1521, 1077, 1563)(1037, 1523, 1080, 1566)(1039, 1525, 1083, 1569)(1040, 1526, 1085, 1571)(1042, 1528, 1088, 1574)(1043, 1529, 1090, 1576)(1045, 1531, 1093, 1579)(1047, 1533, 1096, 1582)(1048, 1534, 1098, 1584)(1050, 1536, 1101, 1587)(1052, 1538, 1104, 1590)(1053, 1539, 1106, 1592)(1055, 1541, 1109, 1595)(1056, 1542, 1111, 1597)(1058, 1544, 1114, 1600)(1060, 1546, 1117, 1603)(1061, 1547, 1119, 1605)(1063, 1549, 1089, 1575)(1065, 1551, 1124, 1610)(1066, 1552, 1126, 1612)(1068, 1554, 1129, 1615)(1069, 1555, 1130, 1616)(1071, 1557, 1133, 1619)(1073, 1559, 1135, 1621)(1074, 1560, 1136, 1622)(1076, 1562, 1102, 1588)(1078, 1564, 1139, 1625)(1079, 1565, 1141, 1627)(1081, 1567, 1144, 1630)(1082, 1568, 1146, 1632)(1084, 1570, 1149, 1635)(1086, 1572, 1152, 1638)(1087, 1573, 1154, 1640)(1091, 1577, 1159, 1645)(1092, 1578, 1161, 1647)(1094, 1580, 1164, 1650)(1095, 1581, 1165, 1651)(1097, 1583, 1168, 1654)(1099, 1585, 1170, 1656)(1100, 1586, 1171, 1657)(1103, 1589, 1173, 1659)(1105, 1591, 1176, 1662)(1107, 1593, 1179, 1665)(1108, 1594, 1181, 1667)(1110, 1596, 1172, 1658)(1112, 1598, 1185, 1671)(1113, 1599, 1187, 1673)(1115, 1601, 1190, 1676)(1116, 1602, 1191, 1677)(1118, 1604, 1194, 1680)(1120, 1606, 1196, 1682)(1121, 1607, 1157, 1643)(1122, 1608, 1156, 1642)(1123, 1609, 1198, 1684)(1125, 1611, 1201, 1687)(1127, 1613, 1204, 1690)(1128, 1614, 1206, 1692)(1131, 1617, 1210, 1696)(1132, 1618, 1212, 1698)(1134, 1620, 1215, 1701)(1137, 1623, 1145, 1631)(1138, 1624, 1220, 1706)(1140, 1626, 1223, 1709)(1142, 1628, 1226, 1712)(1143, 1629, 1228, 1714)(1147, 1633, 1232, 1718)(1148, 1634, 1234, 1720)(1150, 1636, 1237, 1723)(1151, 1637, 1238, 1724)(1153, 1639, 1241, 1727)(1155, 1641, 1243, 1729)(1158, 1644, 1245, 1731)(1160, 1646, 1248, 1734)(1162, 1648, 1251, 1737)(1163, 1649, 1253, 1739)(1166, 1652, 1257, 1743)(1167, 1653, 1259, 1745)(1169, 1655, 1262, 1748)(1174, 1660, 1268, 1754)(1175, 1661, 1270, 1756)(1177, 1663, 1273, 1759)(1178, 1664, 1274, 1760)(1180, 1666, 1277, 1763)(1182, 1668, 1278, 1764)(1183, 1669, 1266, 1752)(1184, 1670, 1279, 1765)(1186, 1672, 1282, 1768)(1188, 1674, 1235, 1721)(1189, 1675, 1286, 1772)(1192, 1678, 1290, 1776)(1193, 1679, 1291, 1777)(1195, 1681, 1294, 1780)(1197, 1683, 1255, 1741)(1199, 1685, 1298, 1784)(1200, 1686, 1300, 1786)(1202, 1688, 1283, 1769)(1203, 1689, 1302, 1788)(1205, 1691, 1304, 1790)(1207, 1693, 1305, 1791)(1208, 1694, 1244, 1730)(1209, 1695, 1306, 1792)(1211, 1697, 1272, 1758)(1213, 1699, 1260, 1746)(1214, 1700, 1295, 1781)(1216, 1702, 1313, 1799)(1217, 1703, 1293, 1779)(1218, 1704, 1288, 1774)(1219, 1705, 1230, 1716)(1221, 1707, 1316, 1802)(1222, 1708, 1318, 1804)(1224, 1710, 1321, 1807)(1225, 1711, 1322, 1808)(1227, 1713, 1325, 1811)(1229, 1715, 1326, 1812)(1231, 1717, 1327, 1813)(1233, 1719, 1330, 1816)(1236, 1722, 1334, 1820)(1239, 1725, 1338, 1824)(1240, 1726, 1339, 1825)(1242, 1728, 1342, 1828)(1246, 1732, 1346, 1832)(1247, 1733, 1348, 1834)(1249, 1735, 1331, 1817)(1250, 1736, 1350, 1836)(1252, 1738, 1352, 1838)(1254, 1740, 1353, 1839)(1256, 1742, 1354, 1840)(1258, 1744, 1320, 1806)(1261, 1747, 1343, 1829)(1263, 1749, 1361, 1847)(1264, 1750, 1341, 1827)(1265, 1751, 1336, 1822)(1267, 1753, 1363, 1849)(1269, 1755, 1366, 1852)(1271, 1757, 1362, 1848)(1275, 1761, 1373, 1859)(1276, 1762, 1374, 1860)(1280, 1766, 1378, 1864)(1281, 1767, 1380, 1866)(1284, 1770, 1333, 1819)(1285, 1771, 1332, 1818)(1287, 1773, 1383, 1869)(1289, 1775, 1384, 1870)(1292, 1778, 1349, 1835)(1296, 1782, 1371, 1857)(1297, 1783, 1390, 1876)(1299, 1785, 1393, 1879)(1301, 1787, 1340, 1826)(1303, 1789, 1396, 1882)(1307, 1793, 1400, 1886)(1308, 1794, 1370, 1856)(1309, 1795, 1358, 1844)(1310, 1796, 1357, 1843)(1311, 1797, 1403, 1889)(1312, 1798, 1404, 1890)(1314, 1800, 1319, 1805)(1315, 1801, 1405, 1891)(1317, 1803, 1408, 1894)(1323, 1809, 1415, 1901)(1324, 1810, 1416, 1902)(1328, 1814, 1420, 1906)(1329, 1815, 1422, 1908)(1335, 1821, 1425, 1911)(1337, 1823, 1426, 1912)(1344, 1830, 1413, 1899)(1345, 1831, 1432, 1918)(1347, 1833, 1435, 1921)(1351, 1837, 1438, 1924)(1355, 1841, 1442, 1928)(1356, 1842, 1412, 1898)(1359, 1845, 1445, 1931)(1360, 1846, 1446, 1932)(1364, 1850, 1419, 1905)(1365, 1851, 1414, 1900)(1367, 1853, 1431, 1917)(1368, 1854, 1410, 1896)(1369, 1855, 1430, 1916)(1372, 1858, 1407, 1893)(1375, 1861, 1440, 1926)(1376, 1862, 1439, 1925)(1377, 1863, 1406, 1892)(1379, 1865, 1421, 1907)(1381, 1867, 1444, 1930)(1382, 1868, 1443, 1929)(1385, 1871, 1427, 1913)(1386, 1872, 1436, 1922)(1387, 1873, 1429, 1915)(1388, 1874, 1411, 1897)(1389, 1875, 1409, 1895)(1391, 1877, 1441, 1927)(1392, 1878, 1437, 1923)(1394, 1880, 1428, 1914)(1395, 1881, 1434, 1920)(1397, 1883, 1418, 1904)(1398, 1884, 1417, 1903)(1399, 1885, 1433, 1919)(1401, 1887, 1424, 1910)(1402, 1888, 1423, 1909)(1447, 1933, 1455, 1941)(1448, 1934, 1458, 1944)(1449, 1935, 1453, 1939)(1450, 1936, 1457, 1943)(1451, 1937, 1456, 1942)(1452, 1938, 1454, 1940)
	L = (1, 975)(2, 977)(3, 980)(4, 973)(5, 984)(6, 974)(7, 985)(8, 989)(9, 990)(10, 976)(11, 981)(12, 995)(13, 996)(14, 978)(15, 979)(16, 999)(17, 1003)(18, 1005)(19, 1006)(20, 982)(21, 983)(22, 1009)(23, 1013)(24, 1015)(25, 1016)(26, 986)(27, 1019)(28, 987)(29, 988)(30, 1022)(31, 1026)(32, 991)(33, 1029)(34, 1031)(35, 1032)(36, 992)(37, 1035)(38, 993)(39, 994)(40, 1038)(41, 1042)(42, 997)(43, 1045)(44, 1047)(45, 1048)(46, 998)(47, 1052)(48, 1053)(49, 1000)(50, 1056)(51, 1001)(52, 1002)(53, 1059)(54, 1063)(55, 1004)(56, 1064)(57, 1068)(58, 1007)(59, 1071)(60, 1073)(61, 1074)(62, 1008)(63, 1078)(64, 1079)(65, 1010)(66, 1082)(67, 1011)(68, 1012)(69, 1085)(70, 1089)(71, 1014)(72, 1090)(73, 1094)(74, 1017)(75, 1097)(76, 1099)(77, 1100)(78, 1018)(79, 1020)(80, 1105)(81, 1107)(82, 1108)(83, 1021)(84, 1112)(85, 1113)(86, 1023)(87, 1116)(88, 1024)(89, 1025)(90, 1119)(91, 1122)(92, 1123)(93, 1027)(94, 1028)(95, 1126)(96, 1121)(97, 1030)(98, 1130)(99, 1120)(100, 1033)(101, 1118)(102, 1115)(103, 1110)(104, 1034)(105, 1036)(106, 1140)(107, 1142)(108, 1143)(109, 1037)(110, 1147)(111, 1148)(112, 1039)(113, 1151)(114, 1040)(115, 1041)(116, 1154)(117, 1157)(118, 1158)(119, 1043)(120, 1044)(121, 1161)(122, 1156)(123, 1046)(124, 1165)(125, 1155)(126, 1049)(127, 1153)(128, 1150)(129, 1145)(130, 1050)(131, 1051)(132, 1173)(133, 1177)(134, 1054)(135, 1180)(136, 1182)(137, 1183)(138, 1055)(139, 1057)(140, 1186)(141, 1188)(142, 1189)(143, 1058)(144, 1192)(145, 1193)(146, 1060)(147, 1195)(148, 1061)(149, 1062)(150, 1197)(151, 1199)(152, 1200)(153, 1065)(154, 1203)(155, 1066)(156, 1067)(157, 1206)(158, 1209)(159, 1069)(160, 1070)(161, 1212)(162, 1072)(163, 1215)(164, 1075)(165, 1076)(166, 1077)(167, 1220)(168, 1224)(169, 1080)(170, 1227)(171, 1229)(172, 1230)(173, 1081)(174, 1083)(175, 1233)(176, 1235)(177, 1236)(178, 1084)(179, 1239)(180, 1240)(181, 1086)(182, 1242)(183, 1087)(184, 1088)(185, 1244)(186, 1246)(187, 1247)(188, 1091)(189, 1250)(190, 1092)(191, 1093)(192, 1253)(193, 1256)(194, 1095)(195, 1096)(196, 1259)(197, 1098)(198, 1262)(199, 1101)(200, 1102)(201, 1267)(202, 1103)(203, 1104)(204, 1270)(205, 1255)(206, 1106)(207, 1274)(208, 1254)(209, 1109)(210, 1252)(211, 1249)(212, 1111)(213, 1279)(214, 1283)(215, 1114)(216, 1285)(217, 1287)(218, 1288)(219, 1117)(220, 1228)(221, 1292)(222, 1293)(223, 1265)(224, 1295)(225, 1296)(226, 1124)(227, 1299)(228, 1301)(229, 1282)(230, 1125)(231, 1303)(232, 1276)(233, 1127)(234, 1263)(235, 1128)(236, 1129)(237, 1307)(238, 1308)(239, 1131)(240, 1309)(241, 1132)(242, 1133)(243, 1312)(244, 1134)(245, 1135)(246, 1136)(247, 1137)(248, 1315)(249, 1138)(250, 1139)(251, 1318)(252, 1208)(253, 1141)(254, 1322)(255, 1207)(256, 1144)(257, 1205)(258, 1202)(259, 1146)(260, 1327)(261, 1331)(262, 1149)(263, 1333)(264, 1335)(265, 1336)(266, 1152)(267, 1181)(268, 1340)(269, 1341)(270, 1218)(271, 1343)(272, 1344)(273, 1159)(274, 1347)(275, 1349)(276, 1330)(277, 1160)(278, 1351)(279, 1324)(280, 1162)(281, 1216)(282, 1163)(283, 1164)(284, 1355)(285, 1356)(286, 1166)(287, 1357)(288, 1167)(289, 1168)(290, 1360)(291, 1169)(292, 1170)(293, 1171)(294, 1172)(295, 1364)(296, 1365)(297, 1174)(298, 1368)(299, 1175)(300, 1176)(301, 1211)(302, 1372)(303, 1178)(304, 1179)(305, 1374)(306, 1338)(307, 1377)(308, 1184)(309, 1185)(310, 1380)(311, 1371)(312, 1187)(313, 1370)(314, 1190)(315, 1369)(316, 1367)(317, 1191)(318, 1384)(319, 1194)(320, 1387)(321, 1388)(322, 1196)(323, 1323)(324, 1219)(325, 1198)(326, 1390)(327, 1389)(328, 1201)(329, 1394)(330, 1204)(331, 1334)(332, 1397)(333, 1398)(334, 1210)(335, 1385)(336, 1401)(337, 1402)(338, 1213)(339, 1214)(340, 1379)(341, 1353)(342, 1217)(343, 1406)(344, 1407)(345, 1221)(346, 1410)(347, 1222)(348, 1223)(349, 1258)(350, 1414)(351, 1225)(352, 1226)(353, 1416)(354, 1290)(355, 1419)(356, 1231)(357, 1232)(358, 1422)(359, 1413)(360, 1234)(361, 1412)(362, 1237)(363, 1411)(364, 1409)(365, 1238)(366, 1426)(367, 1241)(368, 1429)(369, 1430)(370, 1243)(371, 1275)(372, 1266)(373, 1245)(374, 1432)(375, 1431)(376, 1248)(377, 1436)(378, 1251)(379, 1286)(380, 1439)(381, 1440)(382, 1257)(383, 1427)(384, 1443)(385, 1444)(386, 1260)(387, 1261)(388, 1421)(389, 1305)(390, 1264)(391, 1268)(392, 1420)(393, 1415)(394, 1435)(395, 1269)(396, 1314)(397, 1271)(398, 1272)(399, 1273)(400, 1408)(401, 1445)(402, 1304)(403, 1277)(404, 1278)(405, 1449)(406, 1446)(407, 1280)(408, 1310)(409, 1281)(410, 1284)(411, 1438)(412, 1442)(413, 1289)(414, 1291)(415, 1300)(416, 1450)(417, 1294)(418, 1447)(419, 1297)(420, 1298)(421, 1437)(422, 1311)(423, 1302)(424, 1434)(425, 1451)(426, 1424)(427, 1306)(428, 1433)(429, 1452)(430, 1418)(431, 1448)(432, 1313)(433, 1316)(434, 1378)(435, 1373)(436, 1393)(437, 1317)(438, 1362)(439, 1319)(440, 1320)(441, 1321)(442, 1366)(443, 1403)(444, 1352)(445, 1325)(446, 1326)(447, 1455)(448, 1404)(449, 1328)(450, 1358)(451, 1329)(452, 1332)(453, 1396)(454, 1400)(455, 1337)(456, 1339)(457, 1348)(458, 1456)(459, 1342)(460, 1453)(461, 1345)(462, 1346)(463, 1395)(464, 1359)(465, 1350)(466, 1392)(467, 1457)(468, 1382)(469, 1354)(470, 1391)(471, 1458)(472, 1376)(473, 1454)(474, 1361)(475, 1363)(476, 1375)(477, 1399)(478, 1381)(479, 1383)(480, 1386)(481, 1405)(482, 1417)(483, 1441)(484, 1423)(485, 1425)(486, 1428)(487, 1459)(488, 1460)(489, 1461)(490, 1462)(491, 1463)(492, 1464)(493, 1465)(494, 1466)(495, 1467)(496, 1468)(497, 1469)(498, 1470)(499, 1471)(500, 1472)(501, 1473)(502, 1474)(503, 1475)(504, 1476)(505, 1477)(506, 1478)(507, 1479)(508, 1480)(509, 1481)(510, 1482)(511, 1483)(512, 1484)(513, 1485)(514, 1486)(515, 1487)(516, 1488)(517, 1489)(518, 1490)(519, 1491)(520, 1492)(521, 1493)(522, 1494)(523, 1495)(524, 1496)(525, 1497)(526, 1498)(527, 1499)(528, 1500)(529, 1501)(530, 1502)(531, 1503)(532, 1504)(533, 1505)(534, 1506)(535, 1507)(536, 1508)(537, 1509)(538, 1510)(539, 1511)(540, 1512)(541, 1513)(542, 1514)(543, 1515)(544, 1516)(545, 1517)(546, 1518)(547, 1519)(548, 1520)(549, 1521)(550, 1522)(551, 1523)(552, 1524)(553, 1525)(554, 1526)(555, 1527)(556, 1528)(557, 1529)(558, 1530)(559, 1531)(560, 1532)(561, 1533)(562, 1534)(563, 1535)(564, 1536)(565, 1537)(566, 1538)(567, 1539)(568, 1540)(569, 1541)(570, 1542)(571, 1543)(572, 1544)(573, 1545)(574, 1546)(575, 1547)(576, 1548)(577, 1549)(578, 1550)(579, 1551)(580, 1552)(581, 1553)(582, 1554)(583, 1555)(584, 1556)(585, 1557)(586, 1558)(587, 1559)(588, 1560)(589, 1561)(590, 1562)(591, 1563)(592, 1564)(593, 1565)(594, 1566)(595, 1567)(596, 1568)(597, 1569)(598, 1570)(599, 1571)(600, 1572)(601, 1573)(602, 1574)(603, 1575)(604, 1576)(605, 1577)(606, 1578)(607, 1579)(608, 1580)(609, 1581)(610, 1582)(611, 1583)(612, 1584)(613, 1585)(614, 1586)(615, 1587)(616, 1588)(617, 1589)(618, 1590)(619, 1591)(620, 1592)(621, 1593)(622, 1594)(623, 1595)(624, 1596)(625, 1597)(626, 1598)(627, 1599)(628, 1600)(629, 1601)(630, 1602)(631, 1603)(632, 1604)(633, 1605)(634, 1606)(635, 1607)(636, 1608)(637, 1609)(638, 1610)(639, 1611)(640, 1612)(641, 1613)(642, 1614)(643, 1615)(644, 1616)(645, 1617)(646, 1618)(647, 1619)(648, 1620)(649, 1621)(650, 1622)(651, 1623)(652, 1624)(653, 1625)(654, 1626)(655, 1627)(656, 1628)(657, 1629)(658, 1630)(659, 1631)(660, 1632)(661, 1633)(662, 1634)(663, 1635)(664, 1636)(665, 1637)(666, 1638)(667, 1639)(668, 1640)(669, 1641)(670, 1642)(671, 1643)(672, 1644)(673, 1645)(674, 1646)(675, 1647)(676, 1648)(677, 1649)(678, 1650)(679, 1651)(680, 1652)(681, 1653)(682, 1654)(683, 1655)(684, 1656)(685, 1657)(686, 1658)(687, 1659)(688, 1660)(689, 1661)(690, 1662)(691, 1663)(692, 1664)(693, 1665)(694, 1666)(695, 1667)(696, 1668)(697, 1669)(698, 1670)(699, 1671)(700, 1672)(701, 1673)(702, 1674)(703, 1675)(704, 1676)(705, 1677)(706, 1678)(707, 1679)(708, 1680)(709, 1681)(710, 1682)(711, 1683)(712, 1684)(713, 1685)(714, 1686)(715, 1687)(716, 1688)(717, 1689)(718, 1690)(719, 1691)(720, 1692)(721, 1693)(722, 1694)(723, 1695)(724, 1696)(725, 1697)(726, 1698)(727, 1699)(728, 1700)(729, 1701)(730, 1702)(731, 1703)(732, 1704)(733, 1705)(734, 1706)(735, 1707)(736, 1708)(737, 1709)(738, 1710)(739, 1711)(740, 1712)(741, 1713)(742, 1714)(743, 1715)(744, 1716)(745, 1717)(746, 1718)(747, 1719)(748, 1720)(749, 1721)(750, 1722)(751, 1723)(752, 1724)(753, 1725)(754, 1726)(755, 1727)(756, 1728)(757, 1729)(758, 1730)(759, 1731)(760, 1732)(761, 1733)(762, 1734)(763, 1735)(764, 1736)(765, 1737)(766, 1738)(767, 1739)(768, 1740)(769, 1741)(770, 1742)(771, 1743)(772, 1744)(773, 1745)(774, 1746)(775, 1747)(776, 1748)(777, 1749)(778, 1750)(779, 1751)(780, 1752)(781, 1753)(782, 1754)(783, 1755)(784, 1756)(785, 1757)(786, 1758)(787, 1759)(788, 1760)(789, 1761)(790, 1762)(791, 1763)(792, 1764)(793, 1765)(794, 1766)(795, 1767)(796, 1768)(797, 1769)(798, 1770)(799, 1771)(800, 1772)(801, 1773)(802, 1774)(803, 1775)(804, 1776)(805, 1777)(806, 1778)(807, 1779)(808, 1780)(809, 1781)(810, 1782)(811, 1783)(812, 1784)(813, 1785)(814, 1786)(815, 1787)(816, 1788)(817, 1789)(818, 1790)(819, 1791)(820, 1792)(821, 1793)(822, 1794)(823, 1795)(824, 1796)(825, 1797)(826, 1798)(827, 1799)(828, 1800)(829, 1801)(830, 1802)(831, 1803)(832, 1804)(833, 1805)(834, 1806)(835, 1807)(836, 1808)(837, 1809)(838, 1810)(839, 1811)(840, 1812)(841, 1813)(842, 1814)(843, 1815)(844, 1816)(845, 1817)(846, 1818)(847, 1819)(848, 1820)(849, 1821)(850, 1822)(851, 1823)(852, 1824)(853, 1825)(854, 1826)(855, 1827)(856, 1828)(857, 1829)(858, 1830)(859, 1831)(860, 1832)(861, 1833)(862, 1834)(863, 1835)(864, 1836)(865, 1837)(866, 1838)(867, 1839)(868, 1840)(869, 1841)(870, 1842)(871, 1843)(872, 1844)(873, 1845)(874, 1846)(875, 1847)(876, 1848)(877, 1849)(878, 1850)(879, 1851)(880, 1852)(881, 1853)(882, 1854)(883, 1855)(884, 1856)(885, 1857)(886, 1858)(887, 1859)(888, 1860)(889, 1861)(890, 1862)(891, 1863)(892, 1864)(893, 1865)(894, 1866)(895, 1867)(896, 1868)(897, 1869)(898, 1870)(899, 1871)(900, 1872)(901, 1873)(902, 1874)(903, 1875)(904, 1876)(905, 1877)(906, 1878)(907, 1879)(908, 1880)(909, 1881)(910, 1882)(911, 1883)(912, 1884)(913, 1885)(914, 1886)(915, 1887)(916, 1888)(917, 1889)(918, 1890)(919, 1891)(920, 1892)(921, 1893)(922, 1894)(923, 1895)(924, 1896)(925, 1897)(926, 1898)(927, 1899)(928, 1900)(929, 1901)(930, 1902)(931, 1903)(932, 1904)(933, 1905)(934, 1906)(935, 1907)(936, 1908)(937, 1909)(938, 1910)(939, 1911)(940, 1912)(941, 1913)(942, 1914)(943, 1915)(944, 1916)(945, 1917)(946, 1918)(947, 1919)(948, 1920)(949, 1921)(950, 1922)(951, 1923)(952, 1924)(953, 1925)(954, 1926)(955, 1927)(956, 1928)(957, 1929)(958, 1930)(959, 1931)(960, 1932)(961, 1933)(962, 1934)(963, 1935)(964, 1936)(965, 1937)(966, 1938)(967, 1939)(968, 1940)(969, 1941)(970, 1942)(971, 1943)(972, 1944)
	local type(s) :: { ( 6, 36 ), ( 6, 36, 6, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.3288
Graph:: simple bipartite
	v = 729 e = 972 f = 189
	degree seq :: [ 2^486, 4^243 ]

E28.3290 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 18})
Quotient :: dipole
Aut^+ = ((C3 x ((C3 x C3) : C3)) : C3) : C2 (small group id <486, 5>)
Aut   = $<972, 100>$ (small group id <972, 100>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y1)^2, (Y3 * Y1)^3, Y1^4 * Y3 * Y1^-6 * Y3 * Y1^2, (Y1^2 * Y3 * Y1^-1 * Y3 * Y1)^3, (Y3 * Y1^2 * Y3 * Y1^-2)^3, Y1^18, Y3 * Y1^2 * Y3 * Y1^3 * Y3 * Y1^-3 * Y3 * Y1^-2 * Y3 * Y1^3 * Y3 * Y1^-3, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-2 * Y3 * Y1^-3 * Y3 * Y1^-3, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-2 * Y3 * Y1 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^2 * Y3 * Y1^-1 ]
Map:: polytopal
	R = (1, 487, 2, 488, 5, 491, 11, 497, 21, 507, 37, 523, 63, 549, 105, 591, 166, 652, 248, 734, 247, 733, 165, 651, 104, 590, 62, 548, 36, 522, 20, 506, 10, 496, 4, 490)(3, 489, 7, 493, 15, 501, 27, 513, 47, 533, 79, 565, 106, 592, 168, 654, 250, 736, 344, 830, 294, 780, 200, 686, 150, 636, 91, 577, 54, 540, 31, 517, 17, 503, 8, 494)(6, 492, 13, 499, 25, 511, 43, 529, 73, 559, 121, 607, 167, 653, 131, 617, 201, 687, 295, 781, 246, 732, 164, 650, 103, 589, 130, 616, 78, 564, 46, 532, 26, 512, 14, 500)(9, 495, 18, 504, 32, 518, 55, 541, 92, 578, 108, 594, 64, 550, 107, 593, 169, 655, 251, 737, 225, 711, 149, 635, 218, 704, 142, 628, 86, 572, 51, 537, 29, 515, 16, 502)(12, 498, 23, 509, 41, 527, 69, 555, 115, 601, 178, 664, 249, 735, 187, 673, 278, 764, 245, 731, 163, 649, 101, 587, 61, 547, 102, 588, 120, 606, 72, 558, 42, 528, 24, 510)(19, 505, 34, 520, 58, 544, 97, 583, 110, 596, 66, 552, 38, 524, 65, 551, 109, 595, 170, 656, 253, 739, 217, 703, 315, 801, 236, 722, 157, 643, 96, 582, 57, 543, 33, 519)(22, 508, 39, 525, 67, 553, 111, 597, 173, 659, 257, 743, 343, 829, 265, 751, 242, 728, 161, 647, 99, 585, 59, 545, 35, 521, 60, 546, 100, 586, 114, 600, 68, 554, 40, 526)(28, 514, 49, 535, 83, 569, 136, 622, 208, 694, 303, 789, 227, 713, 151, 637, 226, 712, 324, 810, 224, 710, 147, 633, 90, 576, 148, 634, 213, 699, 139, 625, 84, 570, 50, 536)(30, 516, 52, 538, 87, 573, 143, 629, 203, 689, 133, 619, 80, 566, 132, 618, 202, 688, 293, 779, 198, 684, 129, 615, 199, 685, 287, 773, 193, 679, 125, 611, 75, 561, 44, 530)(45, 531, 76, 562, 126, 612, 194, 680, 280, 766, 189, 675, 122, 608, 188, 674, 279, 765, 373, 859, 276, 762, 186, 672, 277, 763, 368, 854, 271, 757, 182, 668, 117, 603, 70, 556)(48, 534, 81, 567, 134, 620, 204, 690, 298, 784, 383, 869, 433, 919, 399, 885, 321, 807, 222, 708, 145, 631, 88, 574, 53, 539, 89, 575, 146, 632, 207, 693, 135, 621, 82, 568)(56, 542, 94, 580, 154, 640, 230, 716, 328, 814, 346, 832, 252, 738, 172, 658, 256, 742, 350, 836, 313, 799, 215, 701, 141, 627, 216, 702, 314, 800, 233, 719, 155, 641, 95, 581)(71, 557, 118, 604, 183, 669, 272, 758, 361, 847, 267, 753, 179, 665, 266, 752, 360, 846, 341, 827, 244, 730, 162, 648, 243, 729, 340, 826, 355, 841, 261, 747, 175, 661, 112, 598)(74, 560, 123, 609, 190, 676, 281, 767, 376, 862, 456, 942, 391, 877, 297, 783, 388, 874, 291, 777, 196, 682, 127, 613, 77, 563, 128, 614, 197, 683, 284, 770, 191, 677, 124, 610)(85, 571, 140, 626, 214, 700, 311, 797, 229, 715, 153, 639, 93, 579, 152, 638, 228, 714, 325, 811, 407, 893, 310, 796, 345, 831, 434, 920, 405, 891, 307, 793, 210, 696, 137, 623)(98, 584, 159, 645, 239, 725, 336, 822, 349, 835, 255, 741, 171, 657, 113, 599, 176, 662, 262, 748, 356, 842, 333, 819, 235, 721, 258, 744, 351, 837, 338, 824, 240, 726, 160, 646)(116, 602, 180, 666, 268, 754, 362, 848, 450, 936, 432, 918, 342, 828, 375, 861, 460, 946, 371, 857, 274, 760, 184, 670, 119, 605, 185, 671, 275, 761, 365, 851, 269, 755, 181, 667)(138, 624, 211, 697, 273, 759, 370, 856, 458, 944, 401, 887, 304, 790, 400, 886, 449, 935, 364, 850, 323, 809, 223, 709, 322, 808, 416, 902, 444, 930, 395, 881, 300, 786, 205, 691)(144, 630, 220, 706, 318, 804, 412, 898, 437, 923, 392, 878, 296, 782, 206, 692, 301, 787, 396, 882, 445, 931, 381, 867, 286, 772, 382, 868, 469, 955, 414, 900, 319, 805, 221, 707)(156, 642, 234, 720, 332, 818, 426, 912, 335, 821, 238, 724, 158, 644, 237, 723, 334, 820, 427, 913, 436, 922, 348, 834, 254, 740, 347, 833, 435, 921, 424, 910, 330, 816, 231, 717)(174, 660, 259, 745, 352, 838, 439, 925, 430, 916, 337, 823, 241, 727, 339, 825, 431, 917, 447, 933, 358, 844, 263, 749, 177, 663, 264, 750, 359, 845, 442, 928, 353, 839, 260, 746)(192, 678, 285, 771, 357, 843, 446, 932, 411, 897, 317, 803, 219, 705, 316, 802, 410, 896, 441, 927, 390, 876, 292, 778, 389, 875, 474, 960, 429, 915, 466, 952, 378, 864, 282, 768)(195, 681, 289, 775, 386, 872, 471, 957, 421, 907, 463, 949, 374, 860, 283, 769, 379, 865, 312, 798, 409, 895, 454, 940, 367, 853, 455, 941, 419, 905, 326, 812, 232, 718, 290, 776)(209, 695, 305, 791, 402, 888, 440, 926, 354, 840, 443, 929, 417, 903, 327, 813, 420, 906, 457, 943, 369, 855, 308, 794, 212, 698, 309, 795, 406, 892, 448, 934, 403, 889, 306, 792)(270, 756, 366, 852, 438, 924, 428, 914, 470, 956, 385, 871, 288, 774, 384, 870, 331, 817, 425, 911, 462, 948, 372, 858, 461, 947, 423, 909, 329, 815, 422, 908, 452, 938, 363, 849)(299, 785, 393, 879, 451, 937, 484, 970, 480, 966, 413, 899, 320, 806, 415, 901, 459, 945, 486, 972, 476, 962, 397, 883, 302, 788, 398, 884, 453, 939, 485, 971, 475, 961, 394, 880)(377, 863, 464, 950, 481, 967, 477, 963, 404, 890, 472, 958, 387, 873, 473, 959, 483, 969, 479, 965, 408, 894, 467, 953, 380, 866, 468, 954, 482, 968, 478, 964, 418, 904, 465, 951)(973, 1459)(974, 1460)(975, 1461)(976, 1462)(977, 1463)(978, 1464)(979, 1465)(980, 1466)(981, 1467)(982, 1468)(983, 1469)(984, 1470)(985, 1471)(986, 1472)(987, 1473)(988, 1474)(989, 1475)(990, 1476)(991, 1477)(992, 1478)(993, 1479)(994, 1480)(995, 1481)(996, 1482)(997, 1483)(998, 1484)(999, 1485)(1000, 1486)(1001, 1487)(1002, 1488)(1003, 1489)(1004, 1490)(1005, 1491)(1006, 1492)(1007, 1493)(1008, 1494)(1009, 1495)(1010, 1496)(1011, 1497)(1012, 1498)(1013, 1499)(1014, 1500)(1015, 1501)(1016, 1502)(1017, 1503)(1018, 1504)(1019, 1505)(1020, 1506)(1021, 1507)(1022, 1508)(1023, 1509)(1024, 1510)(1025, 1511)(1026, 1512)(1027, 1513)(1028, 1514)(1029, 1515)(1030, 1516)(1031, 1517)(1032, 1518)(1033, 1519)(1034, 1520)(1035, 1521)(1036, 1522)(1037, 1523)(1038, 1524)(1039, 1525)(1040, 1526)(1041, 1527)(1042, 1528)(1043, 1529)(1044, 1530)(1045, 1531)(1046, 1532)(1047, 1533)(1048, 1534)(1049, 1535)(1050, 1536)(1051, 1537)(1052, 1538)(1053, 1539)(1054, 1540)(1055, 1541)(1056, 1542)(1057, 1543)(1058, 1544)(1059, 1545)(1060, 1546)(1061, 1547)(1062, 1548)(1063, 1549)(1064, 1550)(1065, 1551)(1066, 1552)(1067, 1553)(1068, 1554)(1069, 1555)(1070, 1556)(1071, 1557)(1072, 1558)(1073, 1559)(1074, 1560)(1075, 1561)(1076, 1562)(1077, 1563)(1078, 1564)(1079, 1565)(1080, 1566)(1081, 1567)(1082, 1568)(1083, 1569)(1084, 1570)(1085, 1571)(1086, 1572)(1087, 1573)(1088, 1574)(1089, 1575)(1090, 1576)(1091, 1577)(1092, 1578)(1093, 1579)(1094, 1580)(1095, 1581)(1096, 1582)(1097, 1583)(1098, 1584)(1099, 1585)(1100, 1586)(1101, 1587)(1102, 1588)(1103, 1589)(1104, 1590)(1105, 1591)(1106, 1592)(1107, 1593)(1108, 1594)(1109, 1595)(1110, 1596)(1111, 1597)(1112, 1598)(1113, 1599)(1114, 1600)(1115, 1601)(1116, 1602)(1117, 1603)(1118, 1604)(1119, 1605)(1120, 1606)(1121, 1607)(1122, 1608)(1123, 1609)(1124, 1610)(1125, 1611)(1126, 1612)(1127, 1613)(1128, 1614)(1129, 1615)(1130, 1616)(1131, 1617)(1132, 1618)(1133, 1619)(1134, 1620)(1135, 1621)(1136, 1622)(1137, 1623)(1138, 1624)(1139, 1625)(1140, 1626)(1141, 1627)(1142, 1628)(1143, 1629)(1144, 1630)(1145, 1631)(1146, 1632)(1147, 1633)(1148, 1634)(1149, 1635)(1150, 1636)(1151, 1637)(1152, 1638)(1153, 1639)(1154, 1640)(1155, 1641)(1156, 1642)(1157, 1643)(1158, 1644)(1159, 1645)(1160, 1646)(1161, 1647)(1162, 1648)(1163, 1649)(1164, 1650)(1165, 1651)(1166, 1652)(1167, 1653)(1168, 1654)(1169, 1655)(1170, 1656)(1171, 1657)(1172, 1658)(1173, 1659)(1174, 1660)(1175, 1661)(1176, 1662)(1177, 1663)(1178, 1664)(1179, 1665)(1180, 1666)(1181, 1667)(1182, 1668)(1183, 1669)(1184, 1670)(1185, 1671)(1186, 1672)(1187, 1673)(1188, 1674)(1189, 1675)(1190, 1676)(1191, 1677)(1192, 1678)(1193, 1679)(1194, 1680)(1195, 1681)(1196, 1682)(1197, 1683)(1198, 1684)(1199, 1685)(1200, 1686)(1201, 1687)(1202, 1688)(1203, 1689)(1204, 1690)(1205, 1691)(1206, 1692)(1207, 1693)(1208, 1694)(1209, 1695)(1210, 1696)(1211, 1697)(1212, 1698)(1213, 1699)(1214, 1700)(1215, 1701)(1216, 1702)(1217, 1703)(1218, 1704)(1219, 1705)(1220, 1706)(1221, 1707)(1222, 1708)(1223, 1709)(1224, 1710)(1225, 1711)(1226, 1712)(1227, 1713)(1228, 1714)(1229, 1715)(1230, 1716)(1231, 1717)(1232, 1718)(1233, 1719)(1234, 1720)(1235, 1721)(1236, 1722)(1237, 1723)(1238, 1724)(1239, 1725)(1240, 1726)(1241, 1727)(1242, 1728)(1243, 1729)(1244, 1730)(1245, 1731)(1246, 1732)(1247, 1733)(1248, 1734)(1249, 1735)(1250, 1736)(1251, 1737)(1252, 1738)(1253, 1739)(1254, 1740)(1255, 1741)(1256, 1742)(1257, 1743)(1258, 1744)(1259, 1745)(1260, 1746)(1261, 1747)(1262, 1748)(1263, 1749)(1264, 1750)(1265, 1751)(1266, 1752)(1267, 1753)(1268, 1754)(1269, 1755)(1270, 1756)(1271, 1757)(1272, 1758)(1273, 1759)(1274, 1760)(1275, 1761)(1276, 1762)(1277, 1763)(1278, 1764)(1279, 1765)(1280, 1766)(1281, 1767)(1282, 1768)(1283, 1769)(1284, 1770)(1285, 1771)(1286, 1772)(1287, 1773)(1288, 1774)(1289, 1775)(1290, 1776)(1291, 1777)(1292, 1778)(1293, 1779)(1294, 1780)(1295, 1781)(1296, 1782)(1297, 1783)(1298, 1784)(1299, 1785)(1300, 1786)(1301, 1787)(1302, 1788)(1303, 1789)(1304, 1790)(1305, 1791)(1306, 1792)(1307, 1793)(1308, 1794)(1309, 1795)(1310, 1796)(1311, 1797)(1312, 1798)(1313, 1799)(1314, 1800)(1315, 1801)(1316, 1802)(1317, 1803)(1318, 1804)(1319, 1805)(1320, 1806)(1321, 1807)(1322, 1808)(1323, 1809)(1324, 1810)(1325, 1811)(1326, 1812)(1327, 1813)(1328, 1814)(1329, 1815)(1330, 1816)(1331, 1817)(1332, 1818)(1333, 1819)(1334, 1820)(1335, 1821)(1336, 1822)(1337, 1823)(1338, 1824)(1339, 1825)(1340, 1826)(1341, 1827)(1342, 1828)(1343, 1829)(1344, 1830)(1345, 1831)(1346, 1832)(1347, 1833)(1348, 1834)(1349, 1835)(1350, 1836)(1351, 1837)(1352, 1838)(1353, 1839)(1354, 1840)(1355, 1841)(1356, 1842)(1357, 1843)(1358, 1844)(1359, 1845)(1360, 1846)(1361, 1847)(1362, 1848)(1363, 1849)(1364, 1850)(1365, 1851)(1366, 1852)(1367, 1853)(1368, 1854)(1369, 1855)(1370, 1856)(1371, 1857)(1372, 1858)(1373, 1859)(1374, 1860)(1375, 1861)(1376, 1862)(1377, 1863)(1378, 1864)(1379, 1865)(1380, 1866)(1381, 1867)(1382, 1868)(1383, 1869)(1384, 1870)(1385, 1871)(1386, 1872)(1387, 1873)(1388, 1874)(1389, 1875)(1390, 1876)(1391, 1877)(1392, 1878)(1393, 1879)(1394, 1880)(1395, 1881)(1396, 1882)(1397, 1883)(1398, 1884)(1399, 1885)(1400, 1886)(1401, 1887)(1402, 1888)(1403, 1889)(1404, 1890)(1405, 1891)(1406, 1892)(1407, 1893)(1408, 1894)(1409, 1895)(1410, 1896)(1411, 1897)(1412, 1898)(1413, 1899)(1414, 1900)(1415, 1901)(1416, 1902)(1417, 1903)(1418, 1904)(1419, 1905)(1420, 1906)(1421, 1907)(1422, 1908)(1423, 1909)(1424, 1910)(1425, 1911)(1426, 1912)(1427, 1913)(1428, 1914)(1429, 1915)(1430, 1916)(1431, 1917)(1432, 1918)(1433, 1919)(1434, 1920)(1435, 1921)(1436, 1922)(1437, 1923)(1438, 1924)(1439, 1925)(1440, 1926)(1441, 1927)(1442, 1928)(1443, 1929)(1444, 1930)(1445, 1931)(1446, 1932)(1447, 1933)(1448, 1934)(1449, 1935)(1450, 1936)(1451, 1937)(1452, 1938)(1453, 1939)(1454, 1940)(1455, 1941)(1456, 1942)(1457, 1943)(1458, 1944)
	L = (1, 975)(2, 978)(3, 973)(4, 981)(5, 984)(6, 974)(7, 988)(8, 985)(9, 976)(10, 991)(11, 994)(12, 977)(13, 980)(14, 995)(15, 1000)(16, 979)(17, 1002)(18, 1005)(19, 982)(20, 1007)(21, 1010)(22, 983)(23, 986)(24, 1011)(25, 1016)(26, 1017)(27, 1020)(28, 987)(29, 1021)(30, 989)(31, 1025)(32, 1028)(33, 990)(34, 1031)(35, 992)(36, 1033)(37, 1036)(38, 993)(39, 996)(40, 1037)(41, 1042)(42, 1043)(43, 1046)(44, 997)(45, 998)(46, 1049)(47, 1052)(48, 999)(49, 1001)(50, 1053)(51, 1057)(52, 1060)(53, 1003)(54, 1062)(55, 1065)(56, 1004)(57, 1066)(58, 1070)(59, 1006)(60, 1073)(61, 1008)(62, 1075)(63, 1078)(64, 1009)(65, 1012)(66, 1079)(67, 1084)(68, 1085)(69, 1088)(70, 1013)(71, 1014)(72, 1091)(73, 1094)(74, 1015)(75, 1095)(76, 1099)(77, 1018)(78, 1101)(79, 1103)(80, 1019)(81, 1022)(82, 1104)(83, 1109)(84, 1110)(85, 1023)(86, 1113)(87, 1116)(88, 1024)(89, 1119)(90, 1026)(91, 1121)(92, 1123)(93, 1027)(94, 1029)(95, 1124)(96, 1128)(97, 1130)(98, 1030)(99, 1131)(100, 1134)(101, 1032)(102, 1136)(103, 1034)(104, 1122)(105, 1139)(106, 1035)(107, 1038)(108, 1140)(109, 1143)(110, 1144)(111, 1146)(112, 1039)(113, 1040)(114, 1149)(115, 1151)(116, 1041)(117, 1152)(118, 1156)(119, 1044)(120, 1158)(121, 1159)(122, 1045)(123, 1047)(124, 1160)(125, 1164)(126, 1167)(127, 1048)(128, 1170)(129, 1050)(130, 1172)(131, 1051)(132, 1054)(133, 1173)(134, 1177)(135, 1178)(136, 1181)(137, 1055)(138, 1056)(139, 1184)(140, 1187)(141, 1058)(142, 1189)(143, 1191)(144, 1059)(145, 1192)(146, 1195)(147, 1061)(148, 1197)(149, 1063)(150, 1076)(151, 1064)(152, 1067)(153, 1198)(154, 1203)(155, 1204)(156, 1068)(157, 1207)(158, 1069)(159, 1071)(160, 1209)(161, 1213)(162, 1072)(163, 1215)(164, 1074)(165, 1190)(166, 1221)(167, 1077)(168, 1080)(169, 1224)(170, 1226)(171, 1081)(172, 1082)(173, 1230)(174, 1083)(175, 1231)(176, 1235)(177, 1086)(178, 1237)(179, 1087)(180, 1089)(181, 1238)(182, 1242)(183, 1245)(184, 1090)(185, 1248)(186, 1092)(187, 1093)(188, 1096)(189, 1250)(190, 1254)(191, 1255)(192, 1097)(193, 1258)(194, 1260)(195, 1098)(196, 1261)(197, 1264)(198, 1100)(199, 1266)(200, 1102)(201, 1105)(202, 1268)(203, 1269)(204, 1271)(205, 1106)(206, 1107)(207, 1274)(208, 1276)(209, 1108)(210, 1277)(211, 1280)(212, 1111)(213, 1282)(214, 1284)(215, 1112)(216, 1225)(217, 1114)(218, 1137)(219, 1115)(220, 1117)(221, 1288)(222, 1292)(223, 1118)(224, 1294)(225, 1120)(226, 1125)(227, 1222)(228, 1298)(229, 1299)(230, 1301)(231, 1126)(232, 1127)(233, 1303)(234, 1305)(235, 1129)(236, 1229)(237, 1132)(238, 1228)(239, 1309)(240, 1291)(241, 1133)(242, 1239)(243, 1135)(244, 1236)(245, 1314)(246, 1249)(247, 1287)(248, 1315)(249, 1138)(250, 1199)(251, 1317)(252, 1141)(253, 1188)(254, 1142)(255, 1319)(256, 1210)(257, 1208)(258, 1145)(259, 1147)(260, 1323)(261, 1326)(262, 1329)(263, 1148)(264, 1216)(265, 1150)(266, 1153)(267, 1214)(268, 1335)(269, 1336)(270, 1154)(271, 1339)(272, 1341)(273, 1155)(274, 1342)(275, 1344)(276, 1157)(277, 1218)(278, 1161)(279, 1346)(280, 1347)(281, 1349)(282, 1162)(283, 1163)(284, 1352)(285, 1353)(286, 1165)(287, 1355)(288, 1166)(289, 1168)(290, 1356)(291, 1359)(292, 1169)(293, 1361)(294, 1171)(295, 1363)(296, 1174)(297, 1175)(298, 1354)(299, 1176)(300, 1365)(301, 1369)(302, 1179)(303, 1371)(304, 1180)(305, 1182)(306, 1372)(307, 1376)(308, 1183)(309, 1379)(310, 1185)(311, 1380)(312, 1186)(313, 1381)(314, 1320)(315, 1219)(316, 1193)(317, 1360)(318, 1385)(319, 1212)(320, 1194)(321, 1373)(322, 1196)(323, 1370)(324, 1389)(325, 1390)(326, 1200)(327, 1201)(328, 1393)(329, 1202)(330, 1394)(331, 1205)(332, 1368)(333, 1206)(334, 1386)(335, 1400)(336, 1401)(337, 1211)(338, 1382)(339, 1333)(340, 1404)(341, 1375)(342, 1217)(343, 1220)(344, 1405)(345, 1223)(346, 1406)(347, 1227)(348, 1286)(349, 1409)(350, 1410)(351, 1232)(352, 1412)(353, 1413)(354, 1233)(355, 1416)(356, 1417)(357, 1234)(358, 1418)(359, 1420)(360, 1421)(361, 1311)(362, 1423)(363, 1240)(364, 1241)(365, 1425)(366, 1426)(367, 1243)(368, 1428)(369, 1244)(370, 1246)(371, 1431)(372, 1247)(373, 1433)(374, 1251)(375, 1252)(376, 1427)(377, 1253)(378, 1436)(379, 1439)(380, 1256)(381, 1257)(382, 1270)(383, 1259)(384, 1262)(385, 1432)(386, 1444)(387, 1263)(388, 1289)(389, 1265)(390, 1440)(391, 1267)(392, 1446)(393, 1272)(394, 1441)(395, 1422)(396, 1304)(397, 1273)(398, 1295)(399, 1275)(400, 1278)(401, 1293)(402, 1449)(403, 1313)(404, 1279)(405, 1443)(406, 1450)(407, 1281)(408, 1283)(409, 1285)(410, 1310)(411, 1445)(412, 1407)(413, 1290)(414, 1306)(415, 1430)(416, 1415)(417, 1296)(418, 1297)(419, 1437)(420, 1451)(421, 1300)(422, 1302)(423, 1435)(424, 1452)(425, 1408)(426, 1448)(427, 1447)(428, 1307)(429, 1308)(430, 1438)(431, 1429)(432, 1312)(433, 1316)(434, 1318)(435, 1384)(436, 1397)(437, 1321)(438, 1322)(439, 1453)(440, 1324)(441, 1325)(442, 1454)(443, 1388)(444, 1327)(445, 1328)(446, 1330)(447, 1455)(448, 1331)(449, 1332)(450, 1367)(451, 1334)(452, 1456)(453, 1337)(454, 1338)(455, 1348)(456, 1340)(457, 1403)(458, 1387)(459, 1343)(460, 1357)(461, 1345)(462, 1457)(463, 1395)(464, 1350)(465, 1391)(466, 1402)(467, 1351)(468, 1362)(469, 1366)(470, 1458)(471, 1377)(472, 1358)(473, 1383)(474, 1364)(475, 1399)(476, 1398)(477, 1374)(478, 1378)(479, 1392)(480, 1396)(481, 1411)(482, 1414)(483, 1419)(484, 1424)(485, 1434)(486, 1442)(487, 1459)(488, 1460)(489, 1461)(490, 1462)(491, 1463)(492, 1464)(493, 1465)(494, 1466)(495, 1467)(496, 1468)(497, 1469)(498, 1470)(499, 1471)(500, 1472)(501, 1473)(502, 1474)(503, 1475)(504, 1476)(505, 1477)(506, 1478)(507, 1479)(508, 1480)(509, 1481)(510, 1482)(511, 1483)(512, 1484)(513, 1485)(514, 1486)(515, 1487)(516, 1488)(517, 1489)(518, 1490)(519, 1491)(520, 1492)(521, 1493)(522, 1494)(523, 1495)(524, 1496)(525, 1497)(526, 1498)(527, 1499)(528, 1500)(529, 1501)(530, 1502)(531, 1503)(532, 1504)(533, 1505)(534, 1506)(535, 1507)(536, 1508)(537, 1509)(538, 1510)(539, 1511)(540, 1512)(541, 1513)(542, 1514)(543, 1515)(544, 1516)(545, 1517)(546, 1518)(547, 1519)(548, 1520)(549, 1521)(550, 1522)(551, 1523)(552, 1524)(553, 1525)(554, 1526)(555, 1527)(556, 1528)(557, 1529)(558, 1530)(559, 1531)(560, 1532)(561, 1533)(562, 1534)(563, 1535)(564, 1536)(565, 1537)(566, 1538)(567, 1539)(568, 1540)(569, 1541)(570, 1542)(571, 1543)(572, 1544)(573, 1545)(574, 1546)(575, 1547)(576, 1548)(577, 1549)(578, 1550)(579, 1551)(580, 1552)(581, 1553)(582, 1554)(583, 1555)(584, 1556)(585, 1557)(586, 1558)(587, 1559)(588, 1560)(589, 1561)(590, 1562)(591, 1563)(592, 1564)(593, 1565)(594, 1566)(595, 1567)(596, 1568)(597, 1569)(598, 1570)(599, 1571)(600, 1572)(601, 1573)(602, 1574)(603, 1575)(604, 1576)(605, 1577)(606, 1578)(607, 1579)(608, 1580)(609, 1581)(610, 1582)(611, 1583)(612, 1584)(613, 1585)(614, 1586)(615, 1587)(616, 1588)(617, 1589)(618, 1590)(619, 1591)(620, 1592)(621, 1593)(622, 1594)(623, 1595)(624, 1596)(625, 1597)(626, 1598)(627, 1599)(628, 1600)(629, 1601)(630, 1602)(631, 1603)(632, 1604)(633, 1605)(634, 1606)(635, 1607)(636, 1608)(637, 1609)(638, 1610)(639, 1611)(640, 1612)(641, 1613)(642, 1614)(643, 1615)(644, 1616)(645, 1617)(646, 1618)(647, 1619)(648, 1620)(649, 1621)(650, 1622)(651, 1623)(652, 1624)(653, 1625)(654, 1626)(655, 1627)(656, 1628)(657, 1629)(658, 1630)(659, 1631)(660, 1632)(661, 1633)(662, 1634)(663, 1635)(664, 1636)(665, 1637)(666, 1638)(667, 1639)(668, 1640)(669, 1641)(670, 1642)(671, 1643)(672, 1644)(673, 1645)(674, 1646)(675, 1647)(676, 1648)(677, 1649)(678, 1650)(679, 1651)(680, 1652)(681, 1653)(682, 1654)(683, 1655)(684, 1656)(685, 1657)(686, 1658)(687, 1659)(688, 1660)(689, 1661)(690, 1662)(691, 1663)(692, 1664)(693, 1665)(694, 1666)(695, 1667)(696, 1668)(697, 1669)(698, 1670)(699, 1671)(700, 1672)(701, 1673)(702, 1674)(703, 1675)(704, 1676)(705, 1677)(706, 1678)(707, 1679)(708, 1680)(709, 1681)(710, 1682)(711, 1683)(712, 1684)(713, 1685)(714, 1686)(715, 1687)(716, 1688)(717, 1689)(718, 1690)(719, 1691)(720, 1692)(721, 1693)(722, 1694)(723, 1695)(724, 1696)(725, 1697)(726, 1698)(727, 1699)(728, 1700)(729, 1701)(730, 1702)(731, 1703)(732, 1704)(733, 1705)(734, 1706)(735, 1707)(736, 1708)(737, 1709)(738, 1710)(739, 1711)(740, 1712)(741, 1713)(742, 1714)(743, 1715)(744, 1716)(745, 1717)(746, 1718)(747, 1719)(748, 1720)(749, 1721)(750, 1722)(751, 1723)(752, 1724)(753, 1725)(754, 1726)(755, 1727)(756, 1728)(757, 1729)(758, 1730)(759, 1731)(760, 1732)(761, 1733)(762, 1734)(763, 1735)(764, 1736)(765, 1737)(766, 1738)(767, 1739)(768, 1740)(769, 1741)(770, 1742)(771, 1743)(772, 1744)(773, 1745)(774, 1746)(775, 1747)(776, 1748)(777, 1749)(778, 1750)(779, 1751)(780, 1752)(781, 1753)(782, 1754)(783, 1755)(784, 1756)(785, 1757)(786, 1758)(787, 1759)(788, 1760)(789, 1761)(790, 1762)(791, 1763)(792, 1764)(793, 1765)(794, 1766)(795, 1767)(796, 1768)(797, 1769)(798, 1770)(799, 1771)(800, 1772)(801, 1773)(802, 1774)(803, 1775)(804, 1776)(805, 1777)(806, 1778)(807, 1779)(808, 1780)(809, 1781)(810, 1782)(811, 1783)(812, 1784)(813, 1785)(814, 1786)(815, 1787)(816, 1788)(817, 1789)(818, 1790)(819, 1791)(820, 1792)(821, 1793)(822, 1794)(823, 1795)(824, 1796)(825, 1797)(826, 1798)(827, 1799)(828, 1800)(829, 1801)(830, 1802)(831, 1803)(832, 1804)(833, 1805)(834, 1806)(835, 1807)(836, 1808)(837, 1809)(838, 1810)(839, 1811)(840, 1812)(841, 1813)(842, 1814)(843, 1815)(844, 1816)(845, 1817)(846, 1818)(847, 1819)(848, 1820)(849, 1821)(850, 1822)(851, 1823)(852, 1824)(853, 1825)(854, 1826)(855, 1827)(856, 1828)(857, 1829)(858, 1830)(859, 1831)(860, 1832)(861, 1833)(862, 1834)(863, 1835)(864, 1836)(865, 1837)(866, 1838)(867, 1839)(868, 1840)(869, 1841)(870, 1842)(871, 1843)(872, 1844)(873, 1845)(874, 1846)(875, 1847)(876, 1848)(877, 1849)(878, 1850)(879, 1851)(880, 1852)(881, 1853)(882, 1854)(883, 1855)(884, 1856)(885, 1857)(886, 1858)(887, 1859)(888, 1860)(889, 1861)(890, 1862)(891, 1863)(892, 1864)(893, 1865)(894, 1866)(895, 1867)(896, 1868)(897, 1869)(898, 1870)(899, 1871)(900, 1872)(901, 1873)(902, 1874)(903, 1875)(904, 1876)(905, 1877)(906, 1878)(907, 1879)(908, 1880)(909, 1881)(910, 1882)(911, 1883)(912, 1884)(913, 1885)(914, 1886)(915, 1887)(916, 1888)(917, 1889)(918, 1890)(919, 1891)(920, 1892)(921, 1893)(922, 1894)(923, 1895)(924, 1896)(925, 1897)(926, 1898)(927, 1899)(928, 1900)(929, 1901)(930, 1902)(931, 1903)(932, 1904)(933, 1905)(934, 1906)(935, 1907)(936, 1908)(937, 1909)(938, 1910)(939, 1911)(940, 1912)(941, 1913)(942, 1914)(943, 1915)(944, 1916)(945, 1917)(946, 1918)(947, 1919)(948, 1920)(949, 1921)(950, 1922)(951, 1923)(952, 1924)(953, 1925)(954, 1926)(955, 1927)(956, 1928)(957, 1929)(958, 1930)(959, 1931)(960, 1932)(961, 1933)(962, 1934)(963, 1935)(964, 1936)(965, 1937)(966, 1938)(967, 1939)(968, 1940)(969, 1941)(970, 1942)(971, 1943)(972, 1944)
	local type(s) :: { ( 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.3287
Graph:: simple bipartite
	v = 513 e = 972 f = 405
	degree seq :: [ 2^486, 36^27 ]

E28.3291 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 18})
Quotient :: dipole
Aut^+ = ((C3 x ((C3 x C3) : C3)) : C3) : C2 (small group id <486, 5>)
Aut   = $<972, 100>$ (small group id <972, 100>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1)^3, (Y3 * Y2^-1)^3, (Y2^-1 * Y1 * Y2^-2 * Y1)^2, (R * Y2^-5 * Y1)^2, Y1 * Y2^-6 * Y1 * Y2^6, (Y2^-2 * Y1 * Y2^-3)^3, Y2^18, (Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1)^3, Y2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-2 * Y1 ]
Map::
	R = (1, 487, 2, 488)(3, 489, 7, 493)(4, 490, 9, 495)(5, 491, 11, 497)(6, 492, 13, 499)(8, 494, 16, 502)(10, 496, 19, 505)(12, 498, 22, 508)(14, 500, 25, 511)(15, 501, 27, 513)(17, 503, 30, 516)(18, 504, 32, 518)(20, 506, 35, 521)(21, 507, 37, 523)(23, 509, 40, 526)(24, 510, 42, 528)(26, 512, 45, 531)(28, 514, 48, 534)(29, 515, 50, 536)(31, 517, 53, 539)(33, 519, 56, 542)(34, 520, 58, 544)(36, 522, 61, 547)(38, 524, 64, 550)(39, 525, 66, 552)(41, 527, 69, 555)(43, 529, 72, 558)(44, 530, 74, 560)(46, 532, 77, 563)(47, 533, 79, 565)(49, 535, 82, 568)(51, 537, 85, 571)(52, 538, 87, 573)(54, 540, 90, 576)(55, 541, 92, 578)(57, 543, 95, 581)(59, 545, 98, 584)(60, 546, 100, 586)(62, 548, 103, 589)(63, 549, 105, 591)(65, 551, 108, 594)(67, 553, 111, 597)(68, 554, 113, 599)(70, 556, 116, 602)(71, 557, 118, 604)(73, 559, 121, 607)(75, 561, 124, 610)(76, 562, 126, 612)(78, 564, 129, 615)(80, 566, 132, 618)(81, 567, 134, 620)(83, 569, 137, 623)(84, 570, 139, 625)(86, 572, 142, 628)(88, 574, 145, 631)(89, 575, 147, 633)(91, 577, 117, 603)(93, 579, 152, 638)(94, 580, 154, 640)(96, 582, 157, 643)(97, 583, 158, 644)(99, 585, 161, 647)(101, 587, 163, 649)(102, 588, 164, 650)(104, 590, 130, 616)(106, 592, 167, 653)(107, 593, 169, 655)(109, 595, 172, 658)(110, 596, 174, 660)(112, 598, 177, 663)(114, 600, 180, 666)(115, 601, 182, 668)(119, 605, 187, 673)(120, 606, 189, 675)(122, 608, 192, 678)(123, 609, 193, 679)(125, 611, 196, 682)(127, 613, 198, 684)(128, 614, 199, 685)(131, 617, 201, 687)(133, 619, 204, 690)(135, 621, 207, 693)(136, 622, 209, 695)(138, 624, 200, 686)(140, 626, 213, 699)(141, 627, 215, 701)(143, 629, 218, 704)(144, 630, 219, 705)(146, 632, 222, 708)(148, 634, 224, 710)(149, 635, 185, 671)(150, 636, 184, 670)(151, 637, 226, 712)(153, 639, 229, 715)(155, 641, 232, 718)(156, 642, 234, 720)(159, 645, 238, 724)(160, 646, 240, 726)(162, 648, 243, 729)(165, 651, 173, 659)(166, 652, 248, 734)(168, 654, 251, 737)(170, 656, 254, 740)(171, 657, 256, 742)(175, 661, 260, 746)(176, 662, 262, 748)(178, 664, 265, 751)(179, 665, 266, 752)(181, 667, 269, 755)(183, 669, 271, 757)(186, 672, 273, 759)(188, 674, 276, 762)(190, 676, 279, 765)(191, 677, 281, 767)(194, 680, 285, 771)(195, 681, 287, 773)(197, 683, 290, 776)(202, 688, 296, 782)(203, 689, 298, 784)(205, 691, 301, 787)(206, 692, 302, 788)(208, 694, 305, 791)(210, 696, 306, 792)(211, 697, 294, 780)(212, 698, 307, 793)(214, 700, 310, 796)(216, 702, 263, 749)(217, 703, 314, 800)(220, 706, 318, 804)(221, 707, 319, 805)(223, 709, 322, 808)(225, 711, 283, 769)(227, 713, 326, 812)(228, 714, 328, 814)(230, 716, 311, 797)(231, 717, 330, 816)(233, 719, 332, 818)(235, 721, 333, 819)(236, 722, 272, 758)(237, 723, 334, 820)(239, 725, 300, 786)(241, 727, 288, 774)(242, 728, 323, 809)(244, 730, 341, 827)(245, 731, 321, 807)(246, 732, 316, 802)(247, 733, 258, 744)(249, 735, 344, 830)(250, 736, 346, 832)(252, 738, 349, 835)(253, 739, 350, 836)(255, 741, 353, 839)(257, 743, 354, 840)(259, 745, 355, 841)(261, 747, 358, 844)(264, 750, 362, 848)(267, 753, 366, 852)(268, 754, 367, 853)(270, 756, 370, 856)(274, 760, 374, 860)(275, 761, 376, 862)(277, 763, 359, 845)(278, 764, 378, 864)(280, 766, 380, 866)(282, 768, 381, 867)(284, 770, 382, 868)(286, 772, 348, 834)(289, 775, 371, 857)(291, 777, 389, 875)(292, 778, 369, 855)(293, 779, 364, 850)(295, 781, 391, 877)(297, 783, 394, 880)(299, 785, 390, 876)(303, 789, 401, 887)(304, 790, 402, 888)(308, 794, 406, 892)(309, 795, 408, 894)(312, 798, 361, 847)(313, 799, 360, 846)(315, 801, 411, 897)(317, 803, 412, 898)(320, 806, 377, 863)(324, 810, 399, 885)(325, 811, 418, 904)(327, 813, 421, 907)(329, 815, 368, 854)(331, 817, 424, 910)(335, 821, 428, 914)(336, 822, 398, 884)(337, 823, 386, 872)(338, 824, 385, 871)(339, 825, 431, 917)(340, 826, 432, 918)(342, 828, 347, 833)(343, 829, 433, 919)(345, 831, 436, 922)(351, 837, 443, 929)(352, 838, 444, 930)(356, 842, 448, 934)(357, 843, 450, 936)(363, 849, 453, 939)(365, 851, 454, 940)(372, 858, 441, 927)(373, 859, 460, 946)(375, 861, 463, 949)(379, 865, 466, 952)(383, 869, 470, 956)(384, 870, 440, 926)(387, 873, 473, 959)(388, 874, 474, 960)(392, 878, 447, 933)(393, 879, 442, 928)(395, 881, 459, 945)(396, 882, 438, 924)(397, 883, 458, 944)(400, 886, 435, 921)(403, 889, 468, 954)(404, 890, 467, 953)(405, 891, 434, 920)(407, 893, 449, 935)(409, 895, 472, 958)(410, 896, 471, 957)(413, 899, 455, 941)(414, 900, 464, 950)(415, 901, 457, 943)(416, 902, 439, 925)(417, 903, 437, 923)(419, 905, 469, 955)(420, 906, 465, 951)(422, 908, 456, 942)(423, 909, 462, 948)(425, 911, 446, 932)(426, 912, 445, 931)(427, 913, 461, 947)(429, 915, 452, 938)(430, 916, 451, 937)(475, 961, 483, 969)(476, 962, 486, 972)(477, 963, 481, 967)(478, 964, 485, 971)(479, 965, 484, 970)(480, 966, 482, 968)(973, 1459, 975, 1461, 980, 1466, 989, 1475, 1003, 1489, 1026, 1512, 1063, 1549, 1122, 1608, 1197, 1683, 1296, 1782, 1219, 1705, 1137, 1623, 1076, 1562, 1034, 1520, 1008, 1494, 992, 1478, 982, 1468, 976, 1462)(974, 1460, 977, 1463, 984, 1470, 995, 1481, 1013, 1499, 1042, 1528, 1089, 1575, 1157, 1643, 1244, 1730, 1344, 1830, 1266, 1752, 1172, 1658, 1102, 1588, 1050, 1536, 1018, 1504, 998, 1484, 986, 1472, 978, 1464)(979, 1465, 985, 1471, 996, 1482, 1015, 1501, 1045, 1531, 1094, 1580, 1156, 1642, 1088, 1574, 1154, 1640, 1242, 1728, 1218, 1704, 1136, 1622, 1075, 1561, 1110, 1596, 1055, 1541, 1021, 1507, 1000, 1486, 987, 1473)(981, 1467, 990, 1476, 1005, 1491, 1029, 1515, 1068, 1554, 1121, 1607, 1062, 1548, 1119, 1605, 1195, 1681, 1265, 1751, 1171, 1657, 1101, 1587, 1145, 1631, 1081, 1567, 1037, 1523, 1010, 1496, 993, 1479, 983, 1469)(988, 1474, 999, 1485, 1019, 1505, 1052, 1538, 1105, 1591, 1177, 1663, 1255, 1741, 1164, 1650, 1253, 1739, 1216, 1702, 1134, 1620, 1072, 1558, 1033, 1519, 1074, 1560, 1115, 1601, 1058, 1544, 1023, 1509, 1001, 1487)(991, 1477, 1006, 1492, 1031, 1517, 1071, 1557, 1120, 1606, 1061, 1547, 1025, 1511, 1059, 1545, 1116, 1602, 1192, 1678, 1228, 1714, 1144, 1630, 1230, 1716, 1202, 1688, 1125, 1611, 1065, 1551, 1027, 1513, 1004, 1490)(994, 1480, 1009, 1495, 1035, 1521, 1078, 1564, 1140, 1626, 1224, 1710, 1208, 1694, 1129, 1615, 1206, 1692, 1263, 1749, 1169, 1655, 1098, 1584, 1049, 1535, 1100, 1586, 1150, 1636, 1084, 1570, 1039, 1525, 1011, 1497)(997, 1483, 1016, 1502, 1047, 1533, 1097, 1583, 1155, 1641, 1087, 1573, 1041, 1527, 1085, 1571, 1151, 1637, 1239, 1725, 1181, 1667, 1109, 1595, 1183, 1669, 1249, 1735, 1160, 1646, 1091, 1577, 1043, 1529, 1014, 1500)(1002, 1488, 1022, 1508, 1056, 1542, 1112, 1598, 1186, 1672, 1283, 1769, 1371, 1857, 1273, 1759, 1211, 1697, 1131, 1617, 1069, 1555, 1030, 1516, 1007, 1493, 1032, 1518, 1073, 1559, 1118, 1604, 1060, 1546, 1024, 1510)(1012, 1498, 1038, 1524, 1082, 1568, 1147, 1633, 1233, 1719, 1331, 1817, 1413, 1899, 1321, 1807, 1258, 1744, 1166, 1652, 1095, 1581, 1046, 1532, 1017, 1503, 1048, 1534, 1099, 1585, 1153, 1639, 1086, 1572, 1040, 1526)(1020, 1506, 1053, 1539, 1107, 1593, 1180, 1666, 1254, 1740, 1163, 1649, 1093, 1579, 1161, 1647, 1250, 1736, 1351, 1837, 1286, 1772, 1190, 1676, 1288, 1774, 1367, 1853, 1269, 1755, 1174, 1660, 1103, 1589, 1051, 1537)(1028, 1514, 1064, 1550, 1123, 1609, 1199, 1685, 1299, 1785, 1389, 1875, 1294, 1780, 1196, 1682, 1295, 1781, 1323, 1809, 1225, 1711, 1141, 1627, 1080, 1566, 1143, 1629, 1229, 1715, 1205, 1691, 1127, 1613, 1066, 1552)(1036, 1522, 1079, 1565, 1142, 1628, 1227, 1713, 1207, 1693, 1128, 1614, 1067, 1553, 1126, 1612, 1203, 1689, 1303, 1789, 1334, 1820, 1237, 1723, 1336, 1822, 1409, 1895, 1317, 1803, 1221, 1707, 1138, 1624, 1077, 1563)(1044, 1530, 1090, 1576, 1158, 1644, 1246, 1732, 1347, 1833, 1431, 1917, 1342, 1828, 1243, 1729, 1343, 1829, 1275, 1761, 1178, 1664, 1106, 1592, 1054, 1540, 1108, 1594, 1182, 1668, 1252, 1738, 1162, 1648, 1092, 1578)(1057, 1543, 1113, 1599, 1188, 1674, 1285, 1771, 1370, 1856, 1272, 1758, 1176, 1662, 1270, 1756, 1368, 1854, 1314, 1800, 1217, 1703, 1135, 1621, 1215, 1701, 1312, 1798, 1379, 1865, 1280, 1766, 1184, 1670, 1111, 1597)(1070, 1556, 1130, 1616, 1209, 1695, 1307, 1793, 1385, 1871, 1289, 1775, 1191, 1677, 1117, 1603, 1193, 1679, 1292, 1778, 1387, 1873, 1300, 1786, 1201, 1687, 1282, 1768, 1380, 1866, 1310, 1796, 1213, 1699, 1132, 1618)(1083, 1569, 1148, 1634, 1235, 1721, 1333, 1819, 1412, 1898, 1320, 1806, 1223, 1709, 1318, 1804, 1410, 1896, 1362, 1848, 1264, 1750, 1170, 1656, 1262, 1748, 1360, 1846, 1421, 1907, 1328, 1814, 1231, 1717, 1146, 1632)(1096, 1582, 1165, 1651, 1256, 1742, 1355, 1841, 1427, 1913, 1337, 1823, 1238, 1724, 1152, 1638, 1240, 1726, 1340, 1826, 1429, 1915, 1348, 1834, 1248, 1734, 1330, 1816, 1422, 1908, 1358, 1844, 1260, 1746, 1167, 1653)(1104, 1590, 1173, 1659, 1267, 1753, 1364, 1850, 1420, 1906, 1404, 1890, 1313, 1799, 1353, 1839, 1440, 1926, 1382, 1868, 1284, 1770, 1187, 1673, 1114, 1600, 1189, 1675, 1287, 1773, 1369, 1855, 1271, 1757, 1175, 1661)(1124, 1610, 1200, 1686, 1301, 1787, 1394, 1880, 1311, 1797, 1214, 1700, 1133, 1619, 1212, 1698, 1309, 1795, 1402, 1888, 1418, 1904, 1326, 1812, 1290, 1776, 1384, 1870, 1442, 1928, 1391, 1877, 1297, 1783, 1198, 1684)(1139, 1625, 1220, 1706, 1315, 1801, 1406, 1892, 1378, 1864, 1446, 1932, 1361, 1847, 1305, 1791, 1398, 1884, 1424, 1910, 1332, 1818, 1234, 1720, 1149, 1635, 1236, 1722, 1335, 1821, 1411, 1897, 1319, 1805, 1222, 1708)(1159, 1645, 1247, 1733, 1349, 1835, 1436, 1922, 1359, 1845, 1261, 1747, 1168, 1654, 1259, 1745, 1357, 1843, 1444, 1930, 1376, 1862, 1278, 1764, 1338, 1824, 1426, 1912, 1400, 1886, 1433, 1919, 1345, 1831, 1245, 1731)(1179, 1665, 1274, 1760, 1372, 1858, 1408, 1894, 1393, 1879, 1437, 1923, 1350, 1836, 1251, 1737, 1324, 1810, 1226, 1712, 1322, 1808, 1414, 1900, 1366, 1852, 1435, 1921, 1395, 1881, 1302, 1788, 1204, 1690, 1276, 1762)(1185, 1671, 1279, 1765, 1377, 1863, 1449, 1935, 1399, 1885, 1306, 1792, 1210, 1696, 1308, 1794, 1401, 1887, 1452, 1938, 1386, 1872, 1291, 1777, 1194, 1680, 1293, 1779, 1388, 1874, 1450, 1936, 1381, 1867, 1281, 1767)(1232, 1718, 1327, 1813, 1419, 1905, 1455, 1941, 1441, 1927, 1354, 1840, 1257, 1743, 1356, 1842, 1443, 1929, 1458, 1944, 1428, 1914, 1339, 1825, 1241, 1727, 1341, 1827, 1430, 1916, 1456, 1942, 1423, 1909, 1329, 1815)(1268, 1754, 1365, 1851, 1415, 1901, 1403, 1889, 1448, 1934, 1375, 1861, 1277, 1763, 1374, 1860, 1304, 1790, 1397, 1883, 1451, 1937, 1383, 1869, 1438, 1924, 1392, 1878, 1298, 1784, 1390, 1876, 1447, 1933, 1363, 1849)(1316, 1802, 1407, 1893, 1373, 1859, 1445, 1931, 1454, 1940, 1417, 1903, 1325, 1811, 1416, 1902, 1352, 1838, 1439, 1925, 1457, 1943, 1425, 1911, 1396, 1882, 1434, 1920, 1346, 1832, 1432, 1918, 1453, 1939, 1405, 1891)
	L = (1, 974)(2, 973)(3, 979)(4, 981)(5, 983)(6, 985)(7, 975)(8, 988)(9, 976)(10, 991)(11, 977)(12, 994)(13, 978)(14, 997)(15, 999)(16, 980)(17, 1002)(18, 1004)(19, 982)(20, 1007)(21, 1009)(22, 984)(23, 1012)(24, 1014)(25, 986)(26, 1017)(27, 987)(28, 1020)(29, 1022)(30, 989)(31, 1025)(32, 990)(33, 1028)(34, 1030)(35, 992)(36, 1033)(37, 993)(38, 1036)(39, 1038)(40, 995)(41, 1041)(42, 996)(43, 1044)(44, 1046)(45, 998)(46, 1049)(47, 1051)(48, 1000)(49, 1054)(50, 1001)(51, 1057)(52, 1059)(53, 1003)(54, 1062)(55, 1064)(56, 1005)(57, 1067)(58, 1006)(59, 1070)(60, 1072)(61, 1008)(62, 1075)(63, 1077)(64, 1010)(65, 1080)(66, 1011)(67, 1083)(68, 1085)(69, 1013)(70, 1088)(71, 1090)(72, 1015)(73, 1093)(74, 1016)(75, 1096)(76, 1098)(77, 1018)(78, 1101)(79, 1019)(80, 1104)(81, 1106)(82, 1021)(83, 1109)(84, 1111)(85, 1023)(86, 1114)(87, 1024)(88, 1117)(89, 1119)(90, 1026)(91, 1089)(92, 1027)(93, 1124)(94, 1126)(95, 1029)(96, 1129)(97, 1130)(98, 1031)(99, 1133)(100, 1032)(101, 1135)(102, 1136)(103, 1034)(104, 1102)(105, 1035)(106, 1139)(107, 1141)(108, 1037)(109, 1144)(110, 1146)(111, 1039)(112, 1149)(113, 1040)(114, 1152)(115, 1154)(116, 1042)(117, 1063)(118, 1043)(119, 1159)(120, 1161)(121, 1045)(122, 1164)(123, 1165)(124, 1047)(125, 1168)(126, 1048)(127, 1170)(128, 1171)(129, 1050)(130, 1076)(131, 1173)(132, 1052)(133, 1176)(134, 1053)(135, 1179)(136, 1181)(137, 1055)(138, 1172)(139, 1056)(140, 1185)(141, 1187)(142, 1058)(143, 1190)(144, 1191)(145, 1060)(146, 1194)(147, 1061)(148, 1196)(149, 1157)(150, 1156)(151, 1198)(152, 1065)(153, 1201)(154, 1066)(155, 1204)(156, 1206)(157, 1068)(158, 1069)(159, 1210)(160, 1212)(161, 1071)(162, 1215)(163, 1073)(164, 1074)(165, 1145)(166, 1220)(167, 1078)(168, 1223)(169, 1079)(170, 1226)(171, 1228)(172, 1081)(173, 1137)(174, 1082)(175, 1232)(176, 1234)(177, 1084)(178, 1237)(179, 1238)(180, 1086)(181, 1241)(182, 1087)(183, 1243)(184, 1122)(185, 1121)(186, 1245)(187, 1091)(188, 1248)(189, 1092)(190, 1251)(191, 1253)(192, 1094)(193, 1095)(194, 1257)(195, 1259)(196, 1097)(197, 1262)(198, 1099)(199, 1100)(200, 1110)(201, 1103)(202, 1268)(203, 1270)(204, 1105)(205, 1273)(206, 1274)(207, 1107)(208, 1277)(209, 1108)(210, 1278)(211, 1266)(212, 1279)(213, 1112)(214, 1282)(215, 1113)(216, 1235)(217, 1286)(218, 1115)(219, 1116)(220, 1290)(221, 1291)(222, 1118)(223, 1294)(224, 1120)(225, 1255)(226, 1123)(227, 1298)(228, 1300)(229, 1125)(230, 1283)(231, 1302)(232, 1127)(233, 1304)(234, 1128)(235, 1305)(236, 1244)(237, 1306)(238, 1131)(239, 1272)(240, 1132)(241, 1260)(242, 1295)(243, 1134)(244, 1313)(245, 1293)(246, 1288)(247, 1230)(248, 1138)(249, 1316)(250, 1318)(251, 1140)(252, 1321)(253, 1322)(254, 1142)(255, 1325)(256, 1143)(257, 1326)(258, 1219)(259, 1327)(260, 1147)(261, 1330)(262, 1148)(263, 1188)(264, 1334)(265, 1150)(266, 1151)(267, 1338)(268, 1339)(269, 1153)(270, 1342)(271, 1155)(272, 1208)(273, 1158)(274, 1346)(275, 1348)(276, 1160)(277, 1331)(278, 1350)(279, 1162)(280, 1352)(281, 1163)(282, 1353)(283, 1197)(284, 1354)(285, 1166)(286, 1320)(287, 1167)(288, 1213)(289, 1343)(290, 1169)(291, 1361)(292, 1341)(293, 1336)(294, 1183)(295, 1363)(296, 1174)(297, 1366)(298, 1175)(299, 1362)(300, 1211)(301, 1177)(302, 1178)(303, 1373)(304, 1374)(305, 1180)(306, 1182)(307, 1184)(308, 1378)(309, 1380)(310, 1186)(311, 1202)(312, 1333)(313, 1332)(314, 1189)(315, 1383)(316, 1218)(317, 1384)(318, 1192)(319, 1193)(320, 1349)(321, 1217)(322, 1195)(323, 1214)(324, 1371)(325, 1390)(326, 1199)(327, 1393)(328, 1200)(329, 1340)(330, 1203)(331, 1396)(332, 1205)(333, 1207)(334, 1209)(335, 1400)(336, 1370)(337, 1358)(338, 1357)(339, 1403)(340, 1404)(341, 1216)(342, 1319)(343, 1405)(344, 1221)(345, 1408)(346, 1222)(347, 1314)(348, 1258)(349, 1224)(350, 1225)(351, 1415)(352, 1416)(353, 1227)(354, 1229)(355, 1231)(356, 1420)(357, 1422)(358, 1233)(359, 1249)(360, 1285)(361, 1284)(362, 1236)(363, 1425)(364, 1265)(365, 1426)(366, 1239)(367, 1240)(368, 1301)(369, 1264)(370, 1242)(371, 1261)(372, 1413)(373, 1432)(374, 1246)(375, 1435)(376, 1247)(377, 1292)(378, 1250)(379, 1438)(380, 1252)(381, 1254)(382, 1256)(383, 1442)(384, 1412)(385, 1310)(386, 1309)(387, 1445)(388, 1446)(389, 1263)(390, 1271)(391, 1267)(392, 1419)(393, 1414)(394, 1269)(395, 1431)(396, 1410)(397, 1430)(398, 1308)(399, 1296)(400, 1407)(401, 1275)(402, 1276)(403, 1440)(404, 1439)(405, 1406)(406, 1280)(407, 1421)(408, 1281)(409, 1444)(410, 1443)(411, 1287)(412, 1289)(413, 1427)(414, 1436)(415, 1429)(416, 1411)(417, 1409)(418, 1297)(419, 1441)(420, 1437)(421, 1299)(422, 1428)(423, 1434)(424, 1303)(425, 1418)(426, 1417)(427, 1433)(428, 1307)(429, 1424)(430, 1423)(431, 1311)(432, 1312)(433, 1315)(434, 1377)(435, 1372)(436, 1317)(437, 1389)(438, 1368)(439, 1388)(440, 1356)(441, 1344)(442, 1365)(443, 1323)(444, 1324)(445, 1398)(446, 1397)(447, 1364)(448, 1328)(449, 1379)(450, 1329)(451, 1402)(452, 1401)(453, 1335)(454, 1337)(455, 1385)(456, 1394)(457, 1387)(458, 1369)(459, 1367)(460, 1345)(461, 1399)(462, 1395)(463, 1347)(464, 1386)(465, 1392)(466, 1351)(467, 1376)(468, 1375)(469, 1391)(470, 1355)(471, 1382)(472, 1381)(473, 1359)(474, 1360)(475, 1455)(476, 1458)(477, 1453)(478, 1457)(479, 1456)(480, 1454)(481, 1449)(482, 1452)(483, 1447)(484, 1451)(485, 1450)(486, 1448)(487, 1459)(488, 1460)(489, 1461)(490, 1462)(491, 1463)(492, 1464)(493, 1465)(494, 1466)(495, 1467)(496, 1468)(497, 1469)(498, 1470)(499, 1471)(500, 1472)(501, 1473)(502, 1474)(503, 1475)(504, 1476)(505, 1477)(506, 1478)(507, 1479)(508, 1480)(509, 1481)(510, 1482)(511, 1483)(512, 1484)(513, 1485)(514, 1486)(515, 1487)(516, 1488)(517, 1489)(518, 1490)(519, 1491)(520, 1492)(521, 1493)(522, 1494)(523, 1495)(524, 1496)(525, 1497)(526, 1498)(527, 1499)(528, 1500)(529, 1501)(530, 1502)(531, 1503)(532, 1504)(533, 1505)(534, 1506)(535, 1507)(536, 1508)(537, 1509)(538, 1510)(539, 1511)(540, 1512)(541, 1513)(542, 1514)(543, 1515)(544, 1516)(545, 1517)(546, 1518)(547, 1519)(548, 1520)(549, 1521)(550, 1522)(551, 1523)(552, 1524)(553, 1525)(554, 1526)(555, 1527)(556, 1528)(557, 1529)(558, 1530)(559, 1531)(560, 1532)(561, 1533)(562, 1534)(563, 1535)(564, 1536)(565, 1537)(566, 1538)(567, 1539)(568, 1540)(569, 1541)(570, 1542)(571, 1543)(572, 1544)(573, 1545)(574, 1546)(575, 1547)(576, 1548)(577, 1549)(578, 1550)(579, 1551)(580, 1552)(581, 1553)(582, 1554)(583, 1555)(584, 1556)(585, 1557)(586, 1558)(587, 1559)(588, 1560)(589, 1561)(590, 1562)(591, 1563)(592, 1564)(593, 1565)(594, 1566)(595, 1567)(596, 1568)(597, 1569)(598, 1570)(599, 1571)(600, 1572)(601, 1573)(602, 1574)(603, 1575)(604, 1576)(605, 1577)(606, 1578)(607, 1579)(608, 1580)(609, 1581)(610, 1582)(611, 1583)(612, 1584)(613, 1585)(614, 1586)(615, 1587)(616, 1588)(617, 1589)(618, 1590)(619, 1591)(620, 1592)(621, 1593)(622, 1594)(623, 1595)(624, 1596)(625, 1597)(626, 1598)(627, 1599)(628, 1600)(629, 1601)(630, 1602)(631, 1603)(632, 1604)(633, 1605)(634, 1606)(635, 1607)(636, 1608)(637, 1609)(638, 1610)(639, 1611)(640, 1612)(641, 1613)(642, 1614)(643, 1615)(644, 1616)(645, 1617)(646, 1618)(647, 1619)(648, 1620)(649, 1621)(650, 1622)(651, 1623)(652, 1624)(653, 1625)(654, 1626)(655, 1627)(656, 1628)(657, 1629)(658, 1630)(659, 1631)(660, 1632)(661, 1633)(662, 1634)(663, 1635)(664, 1636)(665, 1637)(666, 1638)(667, 1639)(668, 1640)(669, 1641)(670, 1642)(671, 1643)(672, 1644)(673, 1645)(674, 1646)(675, 1647)(676, 1648)(677, 1649)(678, 1650)(679, 1651)(680, 1652)(681, 1653)(682, 1654)(683, 1655)(684, 1656)(685, 1657)(686, 1658)(687, 1659)(688, 1660)(689, 1661)(690, 1662)(691, 1663)(692, 1664)(693, 1665)(694, 1666)(695, 1667)(696, 1668)(697, 1669)(698, 1670)(699, 1671)(700, 1672)(701, 1673)(702, 1674)(703, 1675)(704, 1676)(705, 1677)(706, 1678)(707, 1679)(708, 1680)(709, 1681)(710, 1682)(711, 1683)(712, 1684)(713, 1685)(714, 1686)(715, 1687)(716, 1688)(717, 1689)(718, 1690)(719, 1691)(720, 1692)(721, 1693)(722, 1694)(723, 1695)(724, 1696)(725, 1697)(726, 1698)(727, 1699)(728, 1700)(729, 1701)(730, 1702)(731, 1703)(732, 1704)(733, 1705)(734, 1706)(735, 1707)(736, 1708)(737, 1709)(738, 1710)(739, 1711)(740, 1712)(741, 1713)(742, 1714)(743, 1715)(744, 1716)(745, 1717)(746, 1718)(747, 1719)(748, 1720)(749, 1721)(750, 1722)(751, 1723)(752, 1724)(753, 1725)(754, 1726)(755, 1727)(756, 1728)(757, 1729)(758, 1730)(759, 1731)(760, 1732)(761, 1733)(762, 1734)(763, 1735)(764, 1736)(765, 1737)(766, 1738)(767, 1739)(768, 1740)(769, 1741)(770, 1742)(771, 1743)(772, 1744)(773, 1745)(774, 1746)(775, 1747)(776, 1748)(777, 1749)(778, 1750)(779, 1751)(780, 1752)(781, 1753)(782, 1754)(783, 1755)(784, 1756)(785, 1757)(786, 1758)(787, 1759)(788, 1760)(789, 1761)(790, 1762)(791, 1763)(792, 1764)(793, 1765)(794, 1766)(795, 1767)(796, 1768)(797, 1769)(798, 1770)(799, 1771)(800, 1772)(801, 1773)(802, 1774)(803, 1775)(804, 1776)(805, 1777)(806, 1778)(807, 1779)(808, 1780)(809, 1781)(810, 1782)(811, 1783)(812, 1784)(813, 1785)(814, 1786)(815, 1787)(816, 1788)(817, 1789)(818, 1790)(819, 1791)(820, 1792)(821, 1793)(822, 1794)(823, 1795)(824, 1796)(825, 1797)(826, 1798)(827, 1799)(828, 1800)(829, 1801)(830, 1802)(831, 1803)(832, 1804)(833, 1805)(834, 1806)(835, 1807)(836, 1808)(837, 1809)(838, 1810)(839, 1811)(840, 1812)(841, 1813)(842, 1814)(843, 1815)(844, 1816)(845, 1817)(846, 1818)(847, 1819)(848, 1820)(849, 1821)(850, 1822)(851, 1823)(852, 1824)(853, 1825)(854, 1826)(855, 1827)(856, 1828)(857, 1829)(858, 1830)(859, 1831)(860, 1832)(861, 1833)(862, 1834)(863, 1835)(864, 1836)(865, 1837)(866, 1838)(867, 1839)(868, 1840)(869, 1841)(870, 1842)(871, 1843)(872, 1844)(873, 1845)(874, 1846)(875, 1847)(876, 1848)(877, 1849)(878, 1850)(879, 1851)(880, 1852)(881, 1853)(882, 1854)(883, 1855)(884, 1856)(885, 1857)(886, 1858)(887, 1859)(888, 1860)(889, 1861)(890, 1862)(891, 1863)(892, 1864)(893, 1865)(894, 1866)(895, 1867)(896, 1868)(897, 1869)(898, 1870)(899, 1871)(900, 1872)(901, 1873)(902, 1874)(903, 1875)(904, 1876)(905, 1877)(906, 1878)(907, 1879)(908, 1880)(909, 1881)(910, 1882)(911, 1883)(912, 1884)(913, 1885)(914, 1886)(915, 1887)(916, 1888)(917, 1889)(918, 1890)(919, 1891)(920, 1892)(921, 1893)(922, 1894)(923, 1895)(924, 1896)(925, 1897)(926, 1898)(927, 1899)(928, 1900)(929, 1901)(930, 1902)(931, 1903)(932, 1904)(933, 1905)(934, 1906)(935, 1907)(936, 1908)(937, 1909)(938, 1910)(939, 1911)(940, 1912)(941, 1913)(942, 1914)(943, 1915)(944, 1916)(945, 1917)(946, 1918)(947, 1919)(948, 1920)(949, 1921)(950, 1922)(951, 1923)(952, 1924)(953, 1925)(954, 1926)(955, 1927)(956, 1928)(957, 1929)(958, 1930)(959, 1931)(960, 1932)(961, 1933)(962, 1934)(963, 1935)(964, 1936)(965, 1937)(966, 1938)(967, 1939)(968, 1940)(969, 1941)(970, 1942)(971, 1943)(972, 1944)
	local type(s) :: { ( 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.3292
Graph:: bipartite
	v = 270 e = 972 f = 648
	degree seq :: [ 4^243, 36^27 ]

E28.3292 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 18})
Quotient :: dipole
Aut^+ = ((C3 x ((C3 x C3) : C3)) : C3) : C2 (small group id <486, 5>)
Aut   = $<972, 100>$ (small group id <972, 100>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^3, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^3 * Y1^-1 * Y3^-7 * Y1^-1 * Y3^2, (Y3^3 * Y1^-1 * Y3)^3, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-5 * Y1 * Y3 * Y1^-1 * Y3^4 * Y1^-1, Y3 * Y1^-1 * Y3^-2 * Y1 * Y3^3 * Y1 * Y3^-2 * Y1^-1 * Y3 * Y1^-1 * Y3^-3 * Y1^-1, Y3 * Y1^-1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^2 * Y1^-1 * Y3^2 * Y1^-1 * Y3^3 * Y1^-1, Y3^2 * Y1^-1 * Y3^2 * Y1^-1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-3 * Y1^-1 * Y3 * Y1^-1, (Y3 * Y2^-1)^18 ]
Map:: polytopal
	R = (1, 487, 2, 488, 4, 490)(3, 489, 8, 494, 10, 496)(5, 491, 12, 498, 6, 492)(7, 493, 15, 501, 11, 497)(9, 495, 18, 504, 20, 506)(13, 499, 25, 511, 23, 509)(14, 500, 24, 510, 28, 514)(16, 502, 31, 517, 29, 515)(17, 503, 33, 519, 21, 507)(19, 505, 36, 522, 38, 524)(22, 508, 30, 516, 42, 528)(26, 512, 47, 533, 45, 531)(27, 513, 49, 535, 51, 537)(32, 518, 57, 543, 55, 541)(34, 520, 61, 547, 59, 545)(35, 521, 63, 549, 39, 525)(37, 523, 66, 552, 68, 554)(40, 526, 60, 546, 72, 558)(41, 527, 73, 559, 75, 561)(43, 529, 46, 532, 78, 564)(44, 530, 79, 565, 52, 538)(48, 534, 85, 571, 83, 569)(50, 536, 88, 574, 90, 576)(53, 539, 56, 542, 94, 580)(54, 540, 95, 581, 76, 562)(58, 544, 101, 587, 99, 585)(62, 548, 107, 593, 105, 591)(64, 550, 111, 597, 109, 595)(65, 551, 113, 599, 69, 555)(67, 553, 116, 602, 118, 604)(70, 556, 110, 596, 122, 608)(71, 557, 123, 609, 125, 611)(74, 560, 128, 614, 130, 616)(77, 563, 133, 619, 135, 621)(80, 566, 139, 625, 137, 623)(81, 567, 84, 570, 142, 628)(82, 568, 143, 629, 136, 622)(86, 572, 149, 635, 147, 633)(87, 573, 151, 637, 91, 577)(89, 575, 154, 640, 156, 642)(92, 578, 138, 624, 160, 646)(93, 579, 161, 647, 163, 649)(96, 582, 167, 653, 165, 651)(97, 583, 100, 586, 170, 656)(98, 584, 171, 657, 164, 650)(102, 588, 177, 663, 175, 661)(103, 589, 106, 592, 180, 666)(104, 590, 181, 667, 126, 612)(108, 594, 187, 673, 185, 671)(112, 598, 193, 679, 191, 677)(114, 600, 197, 683, 195, 681)(115, 601, 199, 685, 119, 605)(117, 603, 155, 641, 203, 689)(120, 606, 196, 682, 207, 693)(121, 607, 208, 694, 210, 696)(124, 610, 213, 699, 215, 701)(127, 613, 218, 704, 131, 617)(129, 615, 221, 707, 202, 688)(132, 618, 166, 652, 225, 711)(134, 620, 227, 713, 228, 714)(140, 626, 235, 721, 233, 719)(141, 627, 237, 723, 238, 724)(144, 630, 242, 728, 240, 726)(145, 631, 148, 634, 244, 730)(146, 632, 245, 731, 239, 725)(150, 636, 178, 664, 188, 674)(152, 638, 251, 737, 249, 735)(153, 639, 253, 739, 157, 643)(158, 644, 250, 736, 259, 745)(159, 645, 260, 746, 262, 748)(162, 648, 265, 751, 266, 752)(168, 654, 273, 759, 271, 757)(169, 655, 275, 761, 276, 762)(172, 658, 280, 766, 278, 764)(173, 659, 176, 662, 282, 768)(174, 660, 283, 769, 277, 763)(179, 665, 286, 772, 288, 774)(182, 668, 292, 778, 290, 776)(183, 669, 186, 672, 295, 781)(184, 670, 296, 782, 289, 775)(189, 675, 192, 678, 300, 786)(190, 676, 301, 787, 211, 697)(194, 680, 248, 734, 305, 791)(198, 684, 311, 797, 309, 795)(200, 686, 314, 800, 312, 798)(201, 687, 315, 801, 204, 690)(205, 691, 313, 799, 318, 804)(206, 692, 319, 805, 320, 806)(209, 695, 323, 809, 243, 729)(212, 698, 327, 813, 216, 702)(214, 700, 330, 816, 316, 802)(217, 703, 291, 777, 333, 819)(219, 705, 336, 822, 334, 820)(220, 706, 337, 823, 222, 708)(223, 709, 335, 821, 338, 824)(224, 710, 339, 825, 341, 827)(226, 712, 343, 829, 229, 715)(230, 716, 241, 727, 348, 834)(231, 717, 234, 720, 350, 836)(232, 718, 351, 837, 263, 749)(236, 722, 285, 771, 354, 840)(246, 732, 329, 815, 363, 849)(247, 733, 365, 851, 362, 848)(252, 738, 371, 857, 369, 855)(254, 740, 374, 860, 372, 858)(255, 741, 375, 861, 256, 742)(257, 743, 373, 859, 376, 862)(258, 744, 377, 863, 378, 864)(261, 747, 381, 867, 281, 767)(264, 750, 385, 871, 267, 753)(268, 754, 279, 765, 390, 876)(269, 755, 272, 758, 392, 878)(270, 756, 393, 879, 342, 828)(274, 760, 298, 784, 396, 882)(284, 770, 345, 831, 404, 890)(287, 773, 408, 894, 409, 895)(293, 779, 340, 826, 414, 900)(294, 780, 417, 903, 418, 904)(297, 783, 387, 873, 419, 905)(299, 785, 367, 853, 370, 856)(302, 788, 399, 885, 405, 891)(303, 789, 306, 792, 424, 910)(304, 790, 400, 886, 402, 888)(307, 793, 310, 796, 391, 877)(308, 794, 389, 875, 321, 807)(317, 803, 382, 868, 403, 889)(322, 808, 388, 874, 325, 811)(324, 810, 361, 847, 406, 892)(326, 812, 384, 870, 437, 923)(328, 814, 398, 884, 397, 883)(331, 817, 383, 869, 380, 866)(332, 818, 379, 865, 368, 854)(344, 830, 410, 896, 407, 893)(346, 832, 445, 931, 443, 929)(347, 833, 442, 928, 440, 926)(349, 835, 439, 925, 441, 927)(352, 838, 411, 897, 420, 906)(353, 839, 412, 898, 415, 901)(355, 841, 386, 872, 356, 842)(357, 843, 364, 850, 394, 880)(358, 844, 360, 846, 395, 881)(359, 845, 401, 887, 413, 899)(366, 852, 444, 930, 416, 902)(421, 907, 453, 939, 450, 936)(422, 908, 438, 924, 451, 937)(423, 909, 472, 958, 463, 949)(425, 911, 466, 952, 464, 950)(426, 912, 457, 943, 455, 941)(427, 913, 429, 915, 460, 946)(428, 914, 471, 957, 461, 947)(430, 916, 432, 918, 469, 955)(431, 917, 468, 954, 433, 919)(434, 920, 467, 953, 435, 921)(436, 922, 470, 956, 462, 948)(446, 932, 477, 963, 465, 951)(447, 933, 478, 964, 452, 938)(448, 934, 459, 945, 458, 944)(449, 935, 454, 940, 456, 942)(473, 959, 479, 965, 485, 971)(474, 960, 480, 966, 486, 972)(475, 961, 481, 967, 483, 969)(476, 962, 482, 968, 484, 970)(973, 1459)(974, 1460)(975, 1461)(976, 1462)(977, 1463)(978, 1464)(979, 1465)(980, 1466)(981, 1467)(982, 1468)(983, 1469)(984, 1470)(985, 1471)(986, 1472)(987, 1473)(988, 1474)(989, 1475)(990, 1476)(991, 1477)(992, 1478)(993, 1479)(994, 1480)(995, 1481)(996, 1482)(997, 1483)(998, 1484)(999, 1485)(1000, 1486)(1001, 1487)(1002, 1488)(1003, 1489)(1004, 1490)(1005, 1491)(1006, 1492)(1007, 1493)(1008, 1494)(1009, 1495)(1010, 1496)(1011, 1497)(1012, 1498)(1013, 1499)(1014, 1500)(1015, 1501)(1016, 1502)(1017, 1503)(1018, 1504)(1019, 1505)(1020, 1506)(1021, 1507)(1022, 1508)(1023, 1509)(1024, 1510)(1025, 1511)(1026, 1512)(1027, 1513)(1028, 1514)(1029, 1515)(1030, 1516)(1031, 1517)(1032, 1518)(1033, 1519)(1034, 1520)(1035, 1521)(1036, 1522)(1037, 1523)(1038, 1524)(1039, 1525)(1040, 1526)(1041, 1527)(1042, 1528)(1043, 1529)(1044, 1530)(1045, 1531)(1046, 1532)(1047, 1533)(1048, 1534)(1049, 1535)(1050, 1536)(1051, 1537)(1052, 1538)(1053, 1539)(1054, 1540)(1055, 1541)(1056, 1542)(1057, 1543)(1058, 1544)(1059, 1545)(1060, 1546)(1061, 1547)(1062, 1548)(1063, 1549)(1064, 1550)(1065, 1551)(1066, 1552)(1067, 1553)(1068, 1554)(1069, 1555)(1070, 1556)(1071, 1557)(1072, 1558)(1073, 1559)(1074, 1560)(1075, 1561)(1076, 1562)(1077, 1563)(1078, 1564)(1079, 1565)(1080, 1566)(1081, 1567)(1082, 1568)(1083, 1569)(1084, 1570)(1085, 1571)(1086, 1572)(1087, 1573)(1088, 1574)(1089, 1575)(1090, 1576)(1091, 1577)(1092, 1578)(1093, 1579)(1094, 1580)(1095, 1581)(1096, 1582)(1097, 1583)(1098, 1584)(1099, 1585)(1100, 1586)(1101, 1587)(1102, 1588)(1103, 1589)(1104, 1590)(1105, 1591)(1106, 1592)(1107, 1593)(1108, 1594)(1109, 1595)(1110, 1596)(1111, 1597)(1112, 1598)(1113, 1599)(1114, 1600)(1115, 1601)(1116, 1602)(1117, 1603)(1118, 1604)(1119, 1605)(1120, 1606)(1121, 1607)(1122, 1608)(1123, 1609)(1124, 1610)(1125, 1611)(1126, 1612)(1127, 1613)(1128, 1614)(1129, 1615)(1130, 1616)(1131, 1617)(1132, 1618)(1133, 1619)(1134, 1620)(1135, 1621)(1136, 1622)(1137, 1623)(1138, 1624)(1139, 1625)(1140, 1626)(1141, 1627)(1142, 1628)(1143, 1629)(1144, 1630)(1145, 1631)(1146, 1632)(1147, 1633)(1148, 1634)(1149, 1635)(1150, 1636)(1151, 1637)(1152, 1638)(1153, 1639)(1154, 1640)(1155, 1641)(1156, 1642)(1157, 1643)(1158, 1644)(1159, 1645)(1160, 1646)(1161, 1647)(1162, 1648)(1163, 1649)(1164, 1650)(1165, 1651)(1166, 1652)(1167, 1653)(1168, 1654)(1169, 1655)(1170, 1656)(1171, 1657)(1172, 1658)(1173, 1659)(1174, 1660)(1175, 1661)(1176, 1662)(1177, 1663)(1178, 1664)(1179, 1665)(1180, 1666)(1181, 1667)(1182, 1668)(1183, 1669)(1184, 1670)(1185, 1671)(1186, 1672)(1187, 1673)(1188, 1674)(1189, 1675)(1190, 1676)(1191, 1677)(1192, 1678)(1193, 1679)(1194, 1680)(1195, 1681)(1196, 1682)(1197, 1683)(1198, 1684)(1199, 1685)(1200, 1686)(1201, 1687)(1202, 1688)(1203, 1689)(1204, 1690)(1205, 1691)(1206, 1692)(1207, 1693)(1208, 1694)(1209, 1695)(1210, 1696)(1211, 1697)(1212, 1698)(1213, 1699)(1214, 1700)(1215, 1701)(1216, 1702)(1217, 1703)(1218, 1704)(1219, 1705)(1220, 1706)(1221, 1707)(1222, 1708)(1223, 1709)(1224, 1710)(1225, 1711)(1226, 1712)(1227, 1713)(1228, 1714)(1229, 1715)(1230, 1716)(1231, 1717)(1232, 1718)(1233, 1719)(1234, 1720)(1235, 1721)(1236, 1722)(1237, 1723)(1238, 1724)(1239, 1725)(1240, 1726)(1241, 1727)(1242, 1728)(1243, 1729)(1244, 1730)(1245, 1731)(1246, 1732)(1247, 1733)(1248, 1734)(1249, 1735)(1250, 1736)(1251, 1737)(1252, 1738)(1253, 1739)(1254, 1740)(1255, 1741)(1256, 1742)(1257, 1743)(1258, 1744)(1259, 1745)(1260, 1746)(1261, 1747)(1262, 1748)(1263, 1749)(1264, 1750)(1265, 1751)(1266, 1752)(1267, 1753)(1268, 1754)(1269, 1755)(1270, 1756)(1271, 1757)(1272, 1758)(1273, 1759)(1274, 1760)(1275, 1761)(1276, 1762)(1277, 1763)(1278, 1764)(1279, 1765)(1280, 1766)(1281, 1767)(1282, 1768)(1283, 1769)(1284, 1770)(1285, 1771)(1286, 1772)(1287, 1773)(1288, 1774)(1289, 1775)(1290, 1776)(1291, 1777)(1292, 1778)(1293, 1779)(1294, 1780)(1295, 1781)(1296, 1782)(1297, 1783)(1298, 1784)(1299, 1785)(1300, 1786)(1301, 1787)(1302, 1788)(1303, 1789)(1304, 1790)(1305, 1791)(1306, 1792)(1307, 1793)(1308, 1794)(1309, 1795)(1310, 1796)(1311, 1797)(1312, 1798)(1313, 1799)(1314, 1800)(1315, 1801)(1316, 1802)(1317, 1803)(1318, 1804)(1319, 1805)(1320, 1806)(1321, 1807)(1322, 1808)(1323, 1809)(1324, 1810)(1325, 1811)(1326, 1812)(1327, 1813)(1328, 1814)(1329, 1815)(1330, 1816)(1331, 1817)(1332, 1818)(1333, 1819)(1334, 1820)(1335, 1821)(1336, 1822)(1337, 1823)(1338, 1824)(1339, 1825)(1340, 1826)(1341, 1827)(1342, 1828)(1343, 1829)(1344, 1830)(1345, 1831)(1346, 1832)(1347, 1833)(1348, 1834)(1349, 1835)(1350, 1836)(1351, 1837)(1352, 1838)(1353, 1839)(1354, 1840)(1355, 1841)(1356, 1842)(1357, 1843)(1358, 1844)(1359, 1845)(1360, 1846)(1361, 1847)(1362, 1848)(1363, 1849)(1364, 1850)(1365, 1851)(1366, 1852)(1367, 1853)(1368, 1854)(1369, 1855)(1370, 1856)(1371, 1857)(1372, 1858)(1373, 1859)(1374, 1860)(1375, 1861)(1376, 1862)(1377, 1863)(1378, 1864)(1379, 1865)(1380, 1866)(1381, 1867)(1382, 1868)(1383, 1869)(1384, 1870)(1385, 1871)(1386, 1872)(1387, 1873)(1388, 1874)(1389, 1875)(1390, 1876)(1391, 1877)(1392, 1878)(1393, 1879)(1394, 1880)(1395, 1881)(1396, 1882)(1397, 1883)(1398, 1884)(1399, 1885)(1400, 1886)(1401, 1887)(1402, 1888)(1403, 1889)(1404, 1890)(1405, 1891)(1406, 1892)(1407, 1893)(1408, 1894)(1409, 1895)(1410, 1896)(1411, 1897)(1412, 1898)(1413, 1899)(1414, 1900)(1415, 1901)(1416, 1902)(1417, 1903)(1418, 1904)(1419, 1905)(1420, 1906)(1421, 1907)(1422, 1908)(1423, 1909)(1424, 1910)(1425, 1911)(1426, 1912)(1427, 1913)(1428, 1914)(1429, 1915)(1430, 1916)(1431, 1917)(1432, 1918)(1433, 1919)(1434, 1920)(1435, 1921)(1436, 1922)(1437, 1923)(1438, 1924)(1439, 1925)(1440, 1926)(1441, 1927)(1442, 1928)(1443, 1929)(1444, 1930)(1445, 1931)(1446, 1932)(1447, 1933)(1448, 1934)(1449, 1935)(1450, 1936)(1451, 1937)(1452, 1938)(1453, 1939)(1454, 1940)(1455, 1941)(1456, 1942)(1457, 1943)(1458, 1944)
	L = (1, 975)(2, 978)(3, 981)(4, 983)(5, 973)(6, 986)(7, 974)(8, 976)(9, 991)(10, 993)(11, 994)(12, 995)(13, 977)(14, 999)(15, 1001)(16, 979)(17, 980)(18, 982)(19, 1009)(20, 1011)(21, 1012)(22, 1013)(23, 1015)(24, 984)(25, 1017)(26, 985)(27, 1022)(28, 1024)(29, 1025)(30, 987)(31, 1027)(32, 988)(33, 1031)(34, 989)(35, 990)(36, 992)(37, 1039)(38, 1041)(39, 1042)(40, 1043)(41, 1046)(42, 1048)(43, 1049)(44, 996)(45, 1053)(46, 997)(47, 1055)(48, 998)(49, 1000)(50, 1061)(51, 1063)(52, 1064)(53, 1065)(54, 1002)(55, 1069)(56, 1003)(57, 1071)(58, 1004)(59, 1075)(60, 1005)(61, 1077)(62, 1006)(63, 1081)(64, 1007)(65, 1008)(66, 1010)(67, 1089)(68, 1091)(69, 1092)(70, 1093)(71, 1096)(72, 1098)(73, 1014)(74, 1101)(75, 1103)(76, 1104)(77, 1106)(78, 1108)(79, 1109)(80, 1016)(81, 1113)(82, 1018)(83, 1117)(84, 1019)(85, 1119)(86, 1020)(87, 1021)(88, 1023)(89, 1127)(90, 1129)(91, 1130)(92, 1131)(93, 1134)(94, 1136)(95, 1137)(96, 1026)(97, 1141)(98, 1028)(99, 1145)(100, 1029)(101, 1147)(102, 1030)(103, 1151)(104, 1032)(105, 1155)(106, 1033)(107, 1157)(108, 1034)(109, 1161)(110, 1035)(111, 1163)(112, 1036)(113, 1167)(114, 1037)(115, 1038)(116, 1040)(117, 1174)(118, 1176)(119, 1177)(120, 1178)(121, 1181)(122, 1183)(123, 1044)(124, 1186)(125, 1188)(126, 1189)(127, 1045)(128, 1047)(129, 1175)(130, 1194)(131, 1195)(132, 1196)(133, 1050)(134, 1173)(135, 1201)(136, 1202)(137, 1203)(138, 1051)(139, 1205)(140, 1052)(141, 1172)(142, 1211)(143, 1212)(144, 1054)(145, 1170)(146, 1056)(147, 1166)(148, 1057)(149, 1160)(150, 1058)(151, 1221)(152, 1059)(153, 1060)(154, 1062)(155, 1090)(156, 1228)(157, 1229)(158, 1230)(159, 1233)(160, 1235)(161, 1066)(162, 1227)(163, 1239)(164, 1240)(165, 1241)(166, 1067)(167, 1243)(168, 1068)(169, 1226)(170, 1249)(171, 1250)(172, 1070)(173, 1224)(174, 1072)(175, 1208)(176, 1073)(177, 1122)(178, 1074)(179, 1259)(180, 1261)(181, 1262)(182, 1076)(183, 1266)(184, 1078)(185, 1246)(186, 1079)(187, 1150)(188, 1080)(189, 1271)(190, 1082)(191, 1275)(192, 1083)(193, 1277)(194, 1084)(195, 1279)(196, 1085)(197, 1281)(198, 1086)(199, 1284)(200, 1087)(201, 1088)(202, 1288)(203, 1128)(204, 1289)(205, 1148)(206, 1207)(207, 1293)(208, 1094)(209, 1296)(210, 1297)(211, 1298)(212, 1095)(213, 1097)(214, 1193)(215, 1218)(216, 1303)(217, 1304)(218, 1306)(219, 1099)(220, 1100)(221, 1102)(222, 1219)(223, 1278)(224, 1312)(225, 1314)(226, 1105)(227, 1107)(228, 1256)(229, 1318)(230, 1319)(231, 1321)(232, 1110)(233, 1292)(234, 1111)(235, 1326)(236, 1112)(237, 1114)(238, 1328)(239, 1329)(240, 1330)(241, 1115)(242, 1295)(243, 1116)(244, 1334)(245, 1335)(246, 1118)(247, 1120)(248, 1121)(249, 1339)(250, 1123)(251, 1341)(252, 1124)(253, 1344)(254, 1125)(255, 1126)(256, 1338)(257, 1158)(258, 1245)(259, 1351)(260, 1132)(261, 1354)(262, 1355)(263, 1356)(264, 1133)(265, 1135)(266, 1269)(267, 1360)(268, 1361)(269, 1363)(270, 1138)(271, 1350)(272, 1139)(273, 1368)(274, 1140)(275, 1142)(276, 1370)(277, 1371)(278, 1372)(279, 1143)(280, 1353)(281, 1144)(282, 1290)(283, 1376)(284, 1146)(285, 1149)(286, 1152)(287, 1192)(288, 1382)(289, 1383)(290, 1384)(291, 1153)(292, 1386)(293, 1154)(294, 1191)(295, 1348)(296, 1391)(297, 1156)(298, 1159)(299, 1393)(300, 1374)(301, 1377)(302, 1162)(303, 1395)(304, 1164)(305, 1388)(306, 1165)(307, 1364)(308, 1168)(309, 1399)(310, 1169)(311, 1216)(312, 1402)(313, 1171)(314, 1210)(315, 1200)(316, 1378)(317, 1270)(318, 1405)(319, 1179)(320, 1407)(321, 1362)(322, 1180)(323, 1182)(324, 1302)(325, 1357)(326, 1365)(327, 1369)(328, 1184)(329, 1185)(330, 1187)(331, 1401)(332, 1410)(333, 1373)(334, 1411)(335, 1190)(336, 1390)(337, 1381)(338, 1414)(339, 1197)(340, 1416)(341, 1417)(342, 1409)(343, 1379)(344, 1198)(345, 1199)(346, 1419)(347, 1403)(348, 1385)(349, 1418)(350, 1387)(351, 1392)(352, 1204)(353, 1206)(354, 1333)(355, 1209)(356, 1420)(357, 1398)(358, 1421)(359, 1213)(360, 1214)(361, 1215)(362, 1394)(363, 1422)(364, 1217)(365, 1309)(366, 1220)(367, 1272)(368, 1222)(369, 1424)(370, 1223)(371, 1254)(372, 1426)(373, 1225)(374, 1248)(375, 1238)(376, 1429)(377, 1231)(378, 1431)(379, 1305)(380, 1232)(381, 1234)(382, 1287)(383, 1299)(384, 1273)(385, 1327)(386, 1236)(387, 1237)(388, 1434)(389, 1427)(390, 1331)(391, 1433)(392, 1332)(393, 1336)(394, 1242)(395, 1244)(396, 1375)(397, 1247)(398, 1435)(399, 1423)(400, 1436)(401, 1251)(402, 1252)(403, 1253)(404, 1437)(405, 1255)(406, 1257)(407, 1258)(408, 1260)(409, 1397)(410, 1439)(411, 1440)(412, 1441)(413, 1263)(414, 1313)(415, 1264)(416, 1265)(417, 1267)(418, 1442)(419, 1443)(420, 1268)(421, 1301)(422, 1274)(423, 1300)(424, 1310)(425, 1276)(426, 1280)(427, 1445)(428, 1282)(429, 1283)(430, 1325)(431, 1285)(432, 1286)(433, 1324)(434, 1291)(435, 1316)(436, 1294)(437, 1323)(438, 1337)(439, 1322)(440, 1307)(441, 1308)(442, 1320)(443, 1311)(444, 1347)(445, 1315)(446, 1317)(447, 1343)(448, 1448)(449, 1447)(450, 1446)(451, 1340)(452, 1451)(453, 1342)(454, 1367)(455, 1345)(456, 1346)(457, 1366)(458, 1349)(459, 1358)(460, 1352)(461, 1359)(462, 1389)(463, 1454)(464, 1453)(465, 1452)(466, 1380)(467, 1456)(468, 1412)(469, 1455)(470, 1457)(471, 1458)(472, 1396)(473, 1408)(474, 1400)(475, 1404)(476, 1406)(477, 1413)(478, 1415)(479, 1432)(480, 1425)(481, 1428)(482, 1430)(483, 1438)(484, 1444)(485, 1450)(486, 1449)(487, 1459)(488, 1460)(489, 1461)(490, 1462)(491, 1463)(492, 1464)(493, 1465)(494, 1466)(495, 1467)(496, 1468)(497, 1469)(498, 1470)(499, 1471)(500, 1472)(501, 1473)(502, 1474)(503, 1475)(504, 1476)(505, 1477)(506, 1478)(507, 1479)(508, 1480)(509, 1481)(510, 1482)(511, 1483)(512, 1484)(513, 1485)(514, 1486)(515, 1487)(516, 1488)(517, 1489)(518, 1490)(519, 1491)(520, 1492)(521, 1493)(522, 1494)(523, 1495)(524, 1496)(525, 1497)(526, 1498)(527, 1499)(528, 1500)(529, 1501)(530, 1502)(531, 1503)(532, 1504)(533, 1505)(534, 1506)(535, 1507)(536, 1508)(537, 1509)(538, 1510)(539, 1511)(540, 1512)(541, 1513)(542, 1514)(543, 1515)(544, 1516)(545, 1517)(546, 1518)(547, 1519)(548, 1520)(549, 1521)(550, 1522)(551, 1523)(552, 1524)(553, 1525)(554, 1526)(555, 1527)(556, 1528)(557, 1529)(558, 1530)(559, 1531)(560, 1532)(561, 1533)(562, 1534)(563, 1535)(564, 1536)(565, 1537)(566, 1538)(567, 1539)(568, 1540)(569, 1541)(570, 1542)(571, 1543)(572, 1544)(573, 1545)(574, 1546)(575, 1547)(576, 1548)(577, 1549)(578, 1550)(579, 1551)(580, 1552)(581, 1553)(582, 1554)(583, 1555)(584, 1556)(585, 1557)(586, 1558)(587, 1559)(588, 1560)(589, 1561)(590, 1562)(591, 1563)(592, 1564)(593, 1565)(594, 1566)(595, 1567)(596, 1568)(597, 1569)(598, 1570)(599, 1571)(600, 1572)(601, 1573)(602, 1574)(603, 1575)(604, 1576)(605, 1577)(606, 1578)(607, 1579)(608, 1580)(609, 1581)(610, 1582)(611, 1583)(612, 1584)(613, 1585)(614, 1586)(615, 1587)(616, 1588)(617, 1589)(618, 1590)(619, 1591)(620, 1592)(621, 1593)(622, 1594)(623, 1595)(624, 1596)(625, 1597)(626, 1598)(627, 1599)(628, 1600)(629, 1601)(630, 1602)(631, 1603)(632, 1604)(633, 1605)(634, 1606)(635, 1607)(636, 1608)(637, 1609)(638, 1610)(639, 1611)(640, 1612)(641, 1613)(642, 1614)(643, 1615)(644, 1616)(645, 1617)(646, 1618)(647, 1619)(648, 1620)(649, 1621)(650, 1622)(651, 1623)(652, 1624)(653, 1625)(654, 1626)(655, 1627)(656, 1628)(657, 1629)(658, 1630)(659, 1631)(660, 1632)(661, 1633)(662, 1634)(663, 1635)(664, 1636)(665, 1637)(666, 1638)(667, 1639)(668, 1640)(669, 1641)(670, 1642)(671, 1643)(672, 1644)(673, 1645)(674, 1646)(675, 1647)(676, 1648)(677, 1649)(678, 1650)(679, 1651)(680, 1652)(681, 1653)(682, 1654)(683, 1655)(684, 1656)(685, 1657)(686, 1658)(687, 1659)(688, 1660)(689, 1661)(690, 1662)(691, 1663)(692, 1664)(693, 1665)(694, 1666)(695, 1667)(696, 1668)(697, 1669)(698, 1670)(699, 1671)(700, 1672)(701, 1673)(702, 1674)(703, 1675)(704, 1676)(705, 1677)(706, 1678)(707, 1679)(708, 1680)(709, 1681)(710, 1682)(711, 1683)(712, 1684)(713, 1685)(714, 1686)(715, 1687)(716, 1688)(717, 1689)(718, 1690)(719, 1691)(720, 1692)(721, 1693)(722, 1694)(723, 1695)(724, 1696)(725, 1697)(726, 1698)(727, 1699)(728, 1700)(729, 1701)(730, 1702)(731, 1703)(732, 1704)(733, 1705)(734, 1706)(735, 1707)(736, 1708)(737, 1709)(738, 1710)(739, 1711)(740, 1712)(741, 1713)(742, 1714)(743, 1715)(744, 1716)(745, 1717)(746, 1718)(747, 1719)(748, 1720)(749, 1721)(750, 1722)(751, 1723)(752, 1724)(753, 1725)(754, 1726)(755, 1727)(756, 1728)(757, 1729)(758, 1730)(759, 1731)(760, 1732)(761, 1733)(762, 1734)(763, 1735)(764, 1736)(765, 1737)(766, 1738)(767, 1739)(768, 1740)(769, 1741)(770, 1742)(771, 1743)(772, 1744)(773, 1745)(774, 1746)(775, 1747)(776, 1748)(777, 1749)(778, 1750)(779, 1751)(780, 1752)(781, 1753)(782, 1754)(783, 1755)(784, 1756)(785, 1757)(786, 1758)(787, 1759)(788, 1760)(789, 1761)(790, 1762)(791, 1763)(792, 1764)(793, 1765)(794, 1766)(795, 1767)(796, 1768)(797, 1769)(798, 1770)(799, 1771)(800, 1772)(801, 1773)(802, 1774)(803, 1775)(804, 1776)(805, 1777)(806, 1778)(807, 1779)(808, 1780)(809, 1781)(810, 1782)(811, 1783)(812, 1784)(813, 1785)(814, 1786)(815, 1787)(816, 1788)(817, 1789)(818, 1790)(819, 1791)(820, 1792)(821, 1793)(822, 1794)(823, 1795)(824, 1796)(825, 1797)(826, 1798)(827, 1799)(828, 1800)(829, 1801)(830, 1802)(831, 1803)(832, 1804)(833, 1805)(834, 1806)(835, 1807)(836, 1808)(837, 1809)(838, 1810)(839, 1811)(840, 1812)(841, 1813)(842, 1814)(843, 1815)(844, 1816)(845, 1817)(846, 1818)(847, 1819)(848, 1820)(849, 1821)(850, 1822)(851, 1823)(852, 1824)(853, 1825)(854, 1826)(855, 1827)(856, 1828)(857, 1829)(858, 1830)(859, 1831)(860, 1832)(861, 1833)(862, 1834)(863, 1835)(864, 1836)(865, 1837)(866, 1838)(867, 1839)(868, 1840)(869, 1841)(870, 1842)(871, 1843)(872, 1844)(873, 1845)(874, 1846)(875, 1847)(876, 1848)(877, 1849)(878, 1850)(879, 1851)(880, 1852)(881, 1853)(882, 1854)(883, 1855)(884, 1856)(885, 1857)(886, 1858)(887, 1859)(888, 1860)(889, 1861)(890, 1862)(891, 1863)(892, 1864)(893, 1865)(894, 1866)(895, 1867)(896, 1868)(897, 1869)(898, 1870)(899, 1871)(900, 1872)(901, 1873)(902, 1874)(903, 1875)(904, 1876)(905, 1877)(906, 1878)(907, 1879)(908, 1880)(909, 1881)(910, 1882)(911, 1883)(912, 1884)(913, 1885)(914, 1886)(915, 1887)(916, 1888)(917, 1889)(918, 1890)(919, 1891)(920, 1892)(921, 1893)(922, 1894)(923, 1895)(924, 1896)(925, 1897)(926, 1898)(927, 1899)(928, 1900)(929, 1901)(930, 1902)(931, 1903)(932, 1904)(933, 1905)(934, 1906)(935, 1907)(936, 1908)(937, 1909)(938, 1910)(939, 1911)(940, 1912)(941, 1913)(942, 1914)(943, 1915)(944, 1916)(945, 1917)(946, 1918)(947, 1919)(948, 1920)(949, 1921)(950, 1922)(951, 1923)(952, 1924)(953, 1925)(954, 1926)(955, 1927)(956, 1928)(957, 1929)(958, 1930)(959, 1931)(960, 1932)(961, 1933)(962, 1934)(963, 1935)(964, 1936)(965, 1937)(966, 1938)(967, 1939)(968, 1940)(969, 1941)(970, 1942)(971, 1943)(972, 1944)
	local type(s) :: { ( 4, 36 ), ( 4, 36, 4, 36, 4, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.3291
Graph:: simple bipartite
	v = 648 e = 972 f = 270
	degree seq :: [ 2^486, 6^162 ]

E28.3293 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 3, 18})
Quotient :: regular
Aut^+ = ((C9 x C9) : C3) : C2 (small group id <486, 36>)
Aut   = $<972, 115>$ (small group id <972, 115>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2)^3, (T1^-1 * T2 * T1^-2 * T2)^2, T1^-1 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-1, T1^18, T1^-4 * T2 * T1^3 * T2 * T1^-1 * T2 * T1^3 * T2 * T1^-4 * T2 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 11, 21, 37, 63, 97, 141, 193, 192, 140, 96, 62, 36, 20, 10, 4)(3, 7, 15, 27, 47, 79, 115, 167, 219, 289, 236, 179, 127, 87, 54, 31, 17, 8)(6, 13, 25, 43, 73, 109, 157, 211, 275, 342, 288, 218, 166, 114, 78, 46, 26, 14)(9, 18, 32, 55, 88, 128, 180, 237, 305, 363, 300, 229, 175, 122, 84, 51, 29, 16)(12, 23, 41, 69, 105, 152, 207, 270, 338, 408, 341, 274, 210, 156, 108, 72, 42, 24)(19, 34, 58, 91, 133, 184, 244, 310, 379, 419, 346, 281, 214, 161, 111, 74, 57, 33)(22, 39, 67, 53, 85, 123, 176, 230, 301, 364, 407, 337, 269, 206, 151, 104, 68, 40)(28, 49, 70, 45, 76, 103, 149, 199, 261, 324, 393, 361, 299, 227, 174, 120, 83, 50)(30, 52, 71, 106, 147, 201, 259, 326, 391, 378, 309, 243, 183, 132, 90, 56, 75, 44)(35, 60, 92, 135, 185, 246, 311, 381, 435, 360, 297, 226, 172, 119, 82, 48, 81, 59)(38, 65, 101, 77, 112, 162, 215, 282, 347, 420, 459, 404, 334, 266, 203, 148, 102, 66)(61, 94, 136, 187, 247, 313, 382, 442, 464, 417, 345, 279, 213, 158, 131, 89, 130, 93)(64, 99, 145, 107, 154, 126, 177, 232, 302, 366, 436, 456, 401, 331, 263, 200, 146, 100)(80, 117, 153, 121, 163, 113, 164, 205, 267, 330, 399, 449, 434, 358, 296, 224, 171, 118)(86, 125, 155, 208, 265, 332, 397, 451, 440, 376, 308, 241, 182, 129, 160, 110, 159, 124)(95, 138, 188, 249, 314, 384, 443, 470, 432, 357, 294, 223, 170, 116, 169, 134, 173, 137)(98, 143, 197, 150, 204, 165, 216, 284, 348, 422, 465, 480, 453, 398, 328, 260, 198, 144)(139, 190, 250, 316, 385, 445, 476, 482, 463, 415, 344, 276, 240, 181, 239, 186, 242, 189)(142, 195, 257, 202, 264, 209, 272, 235, 303, 368, 437, 473, 477, 450, 395, 325, 258, 196)(168, 221, 271, 225, 283, 228, 285, 217, 286, 336, 405, 455, 481, 468, 431, 355, 293, 222)(178, 234, 273, 339, 403, 457, 479, 475, 439, 374, 307, 238, 278, 212, 277, 231, 280, 233)(191, 252, 317, 387, 446, 452, 478, 458, 429, 354, 292, 220, 291, 245, 295, 248, 298, 251)(194, 255, 322, 262, 329, 268, 335, 287, 349, 424, 466, 441, 474, 444, 447, 392, 323, 256)(253, 319, 388, 394, 448, 400, 454, 406, 460, 412, 373, 306, 372, 312, 375, 315, 377, 318)(254, 320, 389, 327, 396, 333, 402, 340, 410, 351, 427, 380, 430, 383, 433, 386, 390, 321)(290, 352, 409, 356, 421, 359, 423, 362, 425, 350, 426, 461, 484, 472, 485, 467, 428, 353)(304, 370, 411, 462, 483, 469, 486, 471, 438, 371, 414, 343, 413, 365, 416, 367, 418, 369)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 13)(10, 19)(11, 22)(14, 23)(15, 28)(17, 30)(18, 33)(20, 35)(21, 38)(24, 39)(25, 44)(26, 45)(27, 48)(29, 49)(31, 53)(32, 56)(34, 59)(36, 61)(37, 64)(40, 65)(41, 70)(42, 71)(43, 74)(46, 77)(47, 80)(50, 81)(51, 69)(52, 67)(54, 86)(55, 89)(57, 75)(58, 83)(60, 93)(62, 95)(63, 98)(66, 99)(68, 103)(72, 107)(73, 110)(76, 101)(78, 113)(79, 116)(82, 117)(84, 121)(85, 124)(87, 126)(88, 129)(90, 130)(91, 134)(92, 132)(94, 137)(96, 139)(97, 142)(100, 143)(102, 147)(104, 150)(105, 153)(106, 145)(108, 155)(109, 158)(111, 159)(112, 163)(114, 165)(115, 168)(118, 169)(119, 152)(120, 173)(122, 162)(123, 161)(125, 154)(127, 178)(128, 181)(131, 160)(133, 171)(135, 186)(136, 174)(138, 189)(140, 191)(141, 194)(144, 195)(146, 199)(148, 202)(149, 197)(151, 205)(156, 209)(157, 212)(164, 204)(166, 217)(167, 220)(170, 221)(172, 225)(175, 228)(176, 231)(177, 233)(179, 235)(180, 238)(182, 239)(183, 242)(184, 245)(185, 241)(187, 248)(188, 243)(190, 251)(192, 253)(193, 254)(196, 255)(198, 259)(200, 262)(201, 257)(203, 265)(206, 268)(207, 271)(208, 264)(210, 273)(211, 276)(213, 277)(214, 280)(215, 283)(216, 285)(218, 287)(219, 290)(222, 291)(223, 270)(224, 295)(226, 282)(227, 298)(229, 284)(230, 279)(232, 281)(234, 272)(236, 304)(237, 306)(240, 278)(244, 293)(246, 312)(247, 296)(249, 315)(250, 299)(252, 318)(256, 320)(258, 324)(260, 327)(261, 322)(263, 330)(266, 333)(267, 329)(269, 336)(274, 340)(275, 343)(286, 335)(288, 350)(289, 351)(292, 352)(294, 356)(297, 359)(300, 362)(301, 365)(302, 367)(303, 369)(305, 371)(307, 372)(308, 375)(309, 377)(310, 380)(311, 374)(313, 383)(314, 376)(316, 386)(317, 378)(319, 321)(323, 391)(325, 394)(326, 389)(328, 397)(331, 400)(332, 396)(334, 403)(337, 406)(338, 409)(339, 402)(341, 411)(342, 412)(344, 413)(345, 416)(346, 418)(347, 421)(348, 423)(349, 425)(353, 427)(354, 408)(355, 430)(357, 420)(358, 433)(360, 422)(361, 390)(363, 424)(364, 415)(366, 417)(368, 419)(370, 410)(373, 414)(379, 428)(381, 441)(382, 431)(384, 444)(385, 434)(387, 392)(388, 393)(395, 449)(398, 452)(399, 448)(401, 455)(404, 458)(405, 454)(407, 461)(426, 460)(429, 462)(432, 469)(435, 471)(436, 472)(437, 467)(438, 466)(439, 474)(440, 447)(442, 473)(443, 475)(445, 450)(446, 451)(453, 479)(456, 482)(457, 478)(459, 483)(463, 484)(464, 485)(465, 486)(468, 477)(470, 480)(476, 481)
	local type(s) :: { ( 3^18 ) }
Outer automorphisms :: reflexible
Dual of E28.3294
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 27 e = 243 f = 162
	degree seq :: [ 18^27 ]

E28.3294 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 3, 18})
Quotient :: regular
Aut^+ = ((C9 x C9) : C3) : C2 (small group id <486, 36>)
Aut   = $<972, 115>$ (small group id <972, 115>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^3, (F * T1)^2, (F * T2)^2, (T2 * T1^-1 * T2 * T1)^3, (T1^-1 * T2)^18 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 4)(3, 6, 7)(5, 9, 10)(8, 13, 14)(11, 17, 18)(12, 19, 20)(15, 23, 24)(16, 25, 26)(21, 31, 32)(22, 33, 34)(27, 39, 40)(28, 37, 41)(29, 42, 43)(30, 44, 45)(35, 49, 50)(36, 47, 51)(38, 52, 53)(46, 60, 61)(48, 62, 63)(54, 69, 70)(55, 58, 71)(56, 72, 73)(57, 74, 75)(59, 76, 77)(64, 82, 83)(65, 67, 84)(66, 85, 86)(68, 87, 88)(78, 98, 99)(79, 80, 100)(81, 101, 102)(89, 110, 111)(90, 92, 112)(91, 113, 114)(93, 108, 115)(94, 116, 117)(95, 96, 118)(97, 119, 120)(103, 207, 427)(104, 106, 211)(105, 175, 360)(107, 123, 231)(109, 136, 264)(121, 226, 455)(122, 161, 329)(124, 130, 248)(125, 234, 236)(126, 237, 227)(127, 239, 241)(128, 242, 244)(129, 245, 247)(131, 249, 251)(132, 252, 254)(133, 255, 257)(134, 258, 260)(135, 261, 263)(137, 265, 267)(138, 268, 270)(139, 271, 273)(140, 274, 276)(141, 277, 222)(142, 278, 280)(143, 281, 283)(144, 284, 286)(145, 287, 289)(146, 290, 291)(147, 292, 220)(148, 294, 296)(149, 297, 299)(150, 300, 301)(151, 302, 304)(152, 305, 307)(153, 308, 225)(154, 309, 311)(155, 312, 314)(156, 315, 317)(157, 318, 319)(158, 320, 322)(159, 323, 325)(160, 326, 328)(162, 313, 331)(163, 332, 334)(164, 335, 336)(165, 337, 324)(166, 339, 340)(167, 333, 342)(168, 343, 344)(169, 345, 347)(170, 348, 350)(171, 351, 353)(172, 354, 355)(173, 356, 288)(174, 358, 359)(176, 295, 362)(177, 363, 365)(178, 366, 367)(179, 368, 370)(180, 371, 373)(181, 374, 306)(182, 376, 377)(183, 352, 378)(184, 369, 379)(185, 380, 219)(186, 269, 382)(187, 383, 385)(188, 386, 346)(189, 387, 389)(190, 390, 275)(191, 392, 393)(192, 349, 394)(193, 395, 397)(194, 282, 217)(195, 399, 401)(196, 402, 403)(197, 404, 341)(198, 406, 408)(199, 409, 327)(200, 411, 413)(201, 414, 316)(202, 415, 417)(203, 418, 256)(204, 421, 422)(205, 423, 223)(206, 259, 426)(208, 429, 431)(209, 432, 410)(210, 433, 361)(212, 435, 437)(213, 438, 298)(214, 440, 442)(215, 443, 266)(216, 238, 447)(218, 445, 448)(221, 321, 450)(224, 453, 439)(228, 246, 459)(229, 460, 458)(230, 462, 330)(232, 464, 466)(233, 467, 250)(235, 471, 456)(240, 473, 424)(243, 457, 428)(253, 477, 396)(262, 468, 441)(272, 419, 465)(279, 451, 474)(285, 444, 416)(293, 483, 475)(303, 484, 388)(310, 454, 478)(338, 486, 372)(357, 463, 407)(364, 469, 476)(375, 405, 436)(381, 449, 481)(384, 420, 479)(391, 434, 412)(398, 485, 482)(400, 430, 461)(425, 452, 480)(446, 470, 472)
	L = (1, 3)(2, 5)(4, 8)(6, 11)(7, 12)(9, 15)(10, 16)(13, 21)(14, 22)(17, 27)(18, 28)(19, 29)(20, 30)(23, 35)(24, 36)(25, 37)(26, 38)(31, 46)(32, 43)(33, 47)(34, 48)(39, 54)(40, 55)(41, 56)(42, 57)(44, 58)(45, 59)(49, 64)(50, 65)(51, 66)(52, 67)(53, 68)(60, 78)(61, 79)(62, 80)(63, 81)(69, 89)(70, 90)(71, 91)(72, 92)(73, 93)(74, 94)(75, 95)(76, 96)(77, 97)(82, 103)(83, 104)(84, 105)(85, 106)(86, 107)(87, 108)(88, 109)(98, 121)(99, 117)(100, 122)(101, 123)(102, 124)(110, 216)(111, 217)(112, 219)(113, 194)(114, 220)(115, 222)(116, 223)(118, 225)(119, 147)(120, 227)(125, 133)(126, 137)(127, 140)(128, 131)(129, 145)(130, 142)(132, 152)(134, 159)(135, 160)(136, 154)(138, 166)(139, 149)(141, 162)(143, 174)(144, 156)(146, 167)(148, 182)(150, 184)(151, 169)(153, 176)(155, 191)(157, 183)(158, 178)(161, 186)(163, 204)(164, 192)(165, 188)(168, 218)(170, 196)(171, 224)(172, 221)(173, 201)(175, 206)(177, 364)(179, 209)(180, 372)(181, 199)(185, 228)(187, 384)(189, 388)(190, 213)(193, 396)(195, 400)(197, 405)(198, 407)(200, 412)(202, 416)(203, 419)(205, 424)(207, 428)(208, 430)(210, 434)(211, 397)(212, 436)(214, 441)(215, 444)(226, 456)(229, 461)(230, 463)(231, 291)(232, 465)(233, 468)(234, 254)(235, 443)(236, 248)(237, 241)(238, 467)(239, 263)(240, 474)(242, 247)(243, 418)(244, 264)(245, 273)(246, 475)(249, 260)(250, 390)(251, 277)(252, 286)(253, 478)(255, 270)(256, 356)(257, 290)(258, 299)(259, 466)(261, 304)(262, 462)(265, 283)(266, 374)(267, 308)(268, 317)(269, 417)(271, 322)(272, 404)(274, 296)(275, 337)(276, 318)(278, 301)(279, 409)(280, 329)(281, 328)(282, 442)(284, 324)(285, 433)(287, 314)(288, 302)(289, 335)(292, 319)(293, 438)(294, 347)(295, 389)(297, 350)(298, 368)(300, 307)(303, 481)(305, 334)(306, 320)(309, 336)(310, 414)(311, 360)(312, 367)(313, 355)(315, 370)(316, 351)(321, 482)(323, 344)(325, 354)(326, 353)(327, 348)(330, 386)(331, 380)(332, 346)(333, 373)(338, 480)(339, 365)(340, 371)(341, 345)(342, 395)(343, 403)(349, 437)(352, 408)(357, 460)(358, 385)(359, 387)(361, 366)(362, 423)(363, 410)(369, 413)(375, 399)(376, 401)(377, 406)(378, 440)(379, 415)(381, 402)(382, 455)(383, 439)(391, 429)(392, 431)(393, 435)(394, 464)(398, 432)(411, 422)(420, 470)(421, 458)(425, 453)(426, 427)(445, 472)(446, 469)(447, 459)(448, 485)(449, 479)(450, 483)(451, 484)(452, 476)(454, 486)(457, 477)(471, 473)
	local type(s) :: { ( 18^3 ) }
Outer automorphisms :: reflexible
Dual of E28.3293
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 162 e = 243 f = 27
	degree seq :: [ 3^162 ]

E28.3295 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 18})
Quotient :: edge
Aut^+ = ((C9 x C9) : C3) : C2 (small group id <486, 36>)
Aut   = $<972, 115>$ (small group id <972, 115>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^3, (F * T1)^2, (F * T2)^2, (T1 * T2^-1 * T1 * T2)^3, (T2^-1 * T1)^18 ]
Map:: polytopal
	R = (1, 3, 4)(2, 5, 6)(7, 11, 12)(8, 13, 14)(9, 15, 16)(10, 17, 18)(19, 27, 28)(20, 29, 30)(21, 31, 32)(22, 33, 34)(23, 35, 36)(24, 37, 38)(25, 39, 40)(26, 41, 42)(43, 55, 56)(44, 47, 57)(45, 58, 59)(46, 60, 61)(48, 62, 63)(49, 64, 65)(50, 53, 66)(51, 67, 68)(52, 69, 70)(54, 71, 72)(73, 91, 92)(74, 76, 93)(75, 94, 95)(77, 96, 97)(78, 98, 99)(79, 80, 100)(81, 101, 102)(82, 103, 104)(83, 85, 105)(84, 106, 107)(86, 108, 109)(87, 110, 111)(88, 89, 112)(90, 113, 114)(115, 154, 318)(116, 118, 205)(117, 141, 283)(119, 123, 235)(120, 173, 358)(121, 139, 278)(122, 152, 313)(124, 188, 370)(125, 238, 239)(126, 241, 242)(127, 244, 245)(128, 247, 248)(129, 250, 251)(130, 253, 254)(131, 256, 257)(132, 259, 260)(133, 262, 263)(134, 265, 266)(135, 268, 219)(136, 270, 271)(137, 273, 212)(138, 275, 276)(140, 280, 281)(142, 285, 286)(143, 288, 289)(144, 291, 292)(145, 294, 295)(146, 297, 298)(147, 300, 301)(148, 236, 303)(149, 305, 306)(150, 308, 228)(151, 310, 311)(153, 315, 316)(155, 320, 321)(156, 323, 324)(157, 234, 326)(158, 328, 222)(159, 329, 317)(160, 330, 209)(161, 232, 332)(162, 334, 314)(163, 336, 337)(164, 200, 339)(165, 341, 221)(166, 343, 211)(167, 345, 217)(168, 347, 194)(169, 349, 350)(170, 192, 352)(171, 354, 206)(172, 356, 201)(174, 360, 186)(175, 195, 362)(176, 363, 277)(177, 365, 322)(178, 229, 367)(179, 369, 284)(180, 187, 372)(181, 373, 267)(182, 376, 333)(183, 378, 368)(184, 379, 274)(185, 382, 383)(189, 388, 191)(190, 390, 391)(193, 395, 396)(196, 380, 225)(197, 231, 199)(198, 402, 403)(202, 407, 272)(203, 409, 364)(204, 410, 252)(207, 414, 249)(208, 416, 269)(210, 214, 220)(213, 420, 282)(215, 224, 374)(216, 233, 375)(218, 423, 246)(223, 427, 243)(226, 429, 279)(227, 377, 430)(230, 411, 432)(237, 437, 439)(240, 441, 442)(255, 449, 448)(258, 452, 453)(261, 457, 446)(264, 460, 461)(287, 469, 440)(290, 471, 472)(293, 464, 445)(296, 474, 475)(299, 431, 443)(302, 479, 436)(304, 456, 447)(307, 433, 434)(309, 481, 482)(312, 412, 467)(319, 483, 484)(325, 485, 435)(327, 425, 465)(331, 486, 418)(335, 426, 450)(338, 480, 398)(340, 404, 438)(342, 397, 454)(344, 421, 466)(346, 400, 405)(348, 413, 458)(351, 476, 385)(353, 392, 473)(355, 384, 462)(357, 408, 468)(359, 387, 393)(361, 477, 394)(366, 478, 417)(371, 470, 381)(386, 415, 463)(389, 406, 459)(399, 428, 455)(401, 419, 451)(422, 424, 444)(487, 488)(489, 493)(490, 494)(491, 495)(492, 496)(497, 505)(498, 506)(499, 507)(500, 508)(501, 509)(502, 510)(503, 511)(504, 512)(513, 529)(514, 530)(515, 523)(516, 531)(517, 532)(518, 526)(519, 533)(520, 534)(521, 535)(522, 536)(524, 537)(525, 538)(527, 539)(528, 540)(541, 559)(542, 560)(543, 561)(544, 562)(545, 563)(546, 564)(547, 565)(548, 566)(549, 567)(550, 568)(551, 569)(552, 570)(553, 571)(554, 572)(555, 573)(556, 574)(557, 575)(558, 576)(577, 601)(578, 602)(579, 603)(580, 604)(581, 605)(582, 594)(583, 606)(584, 607)(585, 597)(586, 608)(587, 609)(588, 610)(589, 695)(590, 696)(591, 698)(592, 700)(593, 701)(595, 703)(596, 705)(598, 708)(599, 710)(600, 711)(611, 723)(612, 726)(613, 729)(614, 732)(615, 735)(616, 738)(617, 741)(618, 744)(619, 747)(620, 750)(621, 753)(622, 755)(623, 758)(624, 760)(625, 763)(626, 765)(627, 768)(628, 770)(629, 773)(630, 776)(631, 779)(632, 782)(633, 785)(634, 788)(635, 790)(636, 793)(637, 795)(638, 798)(639, 800)(640, 803)(641, 805)(642, 808)(643, 811)(644, 813)(645, 810)(646, 802)(647, 817)(648, 819)(649, 821)(650, 824)(651, 826)(652, 828)(653, 830)(654, 832)(655, 834)(656, 837)(657, 839)(658, 841)(659, 843)(660, 845)(661, 847)(662, 772)(663, 850)(664, 852)(665, 854)(666, 857)(667, 762)(668, 861)(669, 863)(670, 853)(671, 867)(672, 870)(673, 871)(674, 872)(675, 873)(676, 875)(677, 878)(678, 879)(679, 880)(680, 883)(681, 884)(682, 885)(683, 886)(684, 887)(685, 890)(686, 891)(687, 892)(688, 740)(689, 881)(690, 812)(691, 737)(692, 899)(693, 757)(694, 848)(697, 905)(699, 734)(702, 868)(704, 797)(706, 731)(707, 912)(709, 767)(712, 858)(713, 903)(714, 917)(715, 904)(716, 908)(717, 919)(718, 920)(719, 921)(720, 922)(721, 792)(722, 924)(724, 926)(725, 898)(727, 929)(728, 911)(730, 931)(733, 932)(736, 933)(739, 934)(742, 936)(743, 907)(745, 940)(746, 942)(748, 944)(749, 894)(751, 948)(752, 950)(754, 951)(756, 939)(759, 952)(761, 928)(764, 953)(766, 947)(769, 954)(771, 925)(774, 956)(775, 901)(777, 959)(778, 943)(780, 945)(781, 860)(783, 962)(784, 955)(786, 963)(787, 914)(789, 935)(791, 937)(794, 966)(796, 958)(799, 949)(801, 913)(804, 906)(806, 961)(807, 923)(809, 909)(814, 941)(815, 900)(816, 893)(818, 927)(820, 896)(822, 964)(823, 910)(825, 938)(827, 972)(829, 971)(831, 930)(833, 965)(835, 916)(836, 897)(838, 946)(840, 969)(842, 967)(844, 918)(846, 957)(849, 859)(851, 902)(855, 865)(856, 889)(862, 915)(864, 970)(866, 877)(869, 888)(874, 960)(876, 882)(895, 968)
	L = (1, 487)(2, 488)(3, 489)(4, 490)(5, 491)(6, 492)(7, 493)(8, 494)(9, 495)(10, 496)(11, 497)(12, 498)(13, 499)(14, 500)(15, 501)(16, 502)(17, 503)(18, 504)(19, 505)(20, 506)(21, 507)(22, 508)(23, 509)(24, 510)(25, 511)(26, 512)(27, 513)(28, 514)(29, 515)(30, 516)(31, 517)(32, 518)(33, 519)(34, 520)(35, 521)(36, 522)(37, 523)(38, 524)(39, 525)(40, 526)(41, 527)(42, 528)(43, 529)(44, 530)(45, 531)(46, 532)(47, 533)(48, 534)(49, 535)(50, 536)(51, 537)(52, 538)(53, 539)(54, 540)(55, 541)(56, 542)(57, 543)(58, 544)(59, 545)(60, 546)(61, 547)(62, 548)(63, 549)(64, 550)(65, 551)(66, 552)(67, 553)(68, 554)(69, 555)(70, 556)(71, 557)(72, 558)(73, 559)(74, 560)(75, 561)(76, 562)(77, 563)(78, 564)(79, 565)(80, 566)(81, 567)(82, 568)(83, 569)(84, 570)(85, 571)(86, 572)(87, 573)(88, 574)(89, 575)(90, 576)(91, 577)(92, 578)(93, 579)(94, 580)(95, 581)(96, 582)(97, 583)(98, 584)(99, 585)(100, 586)(101, 587)(102, 588)(103, 589)(104, 590)(105, 591)(106, 592)(107, 593)(108, 594)(109, 595)(110, 596)(111, 597)(112, 598)(113, 599)(114, 600)(115, 601)(116, 602)(117, 603)(118, 604)(119, 605)(120, 606)(121, 607)(122, 608)(123, 609)(124, 610)(125, 611)(126, 612)(127, 613)(128, 614)(129, 615)(130, 616)(131, 617)(132, 618)(133, 619)(134, 620)(135, 621)(136, 622)(137, 623)(138, 624)(139, 625)(140, 626)(141, 627)(142, 628)(143, 629)(144, 630)(145, 631)(146, 632)(147, 633)(148, 634)(149, 635)(150, 636)(151, 637)(152, 638)(153, 639)(154, 640)(155, 641)(156, 642)(157, 643)(158, 644)(159, 645)(160, 646)(161, 647)(162, 648)(163, 649)(164, 650)(165, 651)(166, 652)(167, 653)(168, 654)(169, 655)(170, 656)(171, 657)(172, 658)(173, 659)(174, 660)(175, 661)(176, 662)(177, 663)(178, 664)(179, 665)(180, 666)(181, 667)(182, 668)(183, 669)(184, 670)(185, 671)(186, 672)(187, 673)(188, 674)(189, 675)(190, 676)(191, 677)(192, 678)(193, 679)(194, 680)(195, 681)(196, 682)(197, 683)(198, 684)(199, 685)(200, 686)(201, 687)(202, 688)(203, 689)(204, 690)(205, 691)(206, 692)(207, 693)(208, 694)(209, 695)(210, 696)(211, 697)(212, 698)(213, 699)(214, 700)(215, 701)(216, 702)(217, 703)(218, 704)(219, 705)(220, 706)(221, 707)(222, 708)(223, 709)(224, 710)(225, 711)(226, 712)(227, 713)(228, 714)(229, 715)(230, 716)(231, 717)(232, 718)(233, 719)(234, 720)(235, 721)(236, 722)(237, 723)(238, 724)(239, 725)(240, 726)(241, 727)(242, 728)(243, 729)(244, 730)(245, 731)(246, 732)(247, 733)(248, 734)(249, 735)(250, 736)(251, 737)(252, 738)(253, 739)(254, 740)(255, 741)(256, 742)(257, 743)(258, 744)(259, 745)(260, 746)(261, 747)(262, 748)(263, 749)(264, 750)(265, 751)(266, 752)(267, 753)(268, 754)(269, 755)(270, 756)(271, 757)(272, 758)(273, 759)(274, 760)(275, 761)(276, 762)(277, 763)(278, 764)(279, 765)(280, 766)(281, 767)(282, 768)(283, 769)(284, 770)(285, 771)(286, 772)(287, 773)(288, 774)(289, 775)(290, 776)(291, 777)(292, 778)(293, 779)(294, 780)(295, 781)(296, 782)(297, 783)(298, 784)(299, 785)(300, 786)(301, 787)(302, 788)(303, 789)(304, 790)(305, 791)(306, 792)(307, 793)(308, 794)(309, 795)(310, 796)(311, 797)(312, 798)(313, 799)(314, 800)(315, 801)(316, 802)(317, 803)(318, 804)(319, 805)(320, 806)(321, 807)(322, 808)(323, 809)(324, 810)(325, 811)(326, 812)(327, 813)(328, 814)(329, 815)(330, 816)(331, 817)(332, 818)(333, 819)(334, 820)(335, 821)(336, 822)(337, 823)(338, 824)(339, 825)(340, 826)(341, 827)(342, 828)(343, 829)(344, 830)(345, 831)(346, 832)(347, 833)(348, 834)(349, 835)(350, 836)(351, 837)(352, 838)(353, 839)(354, 840)(355, 841)(356, 842)(357, 843)(358, 844)(359, 845)(360, 846)(361, 847)(362, 848)(363, 849)(364, 850)(365, 851)(366, 852)(367, 853)(368, 854)(369, 855)(370, 856)(371, 857)(372, 858)(373, 859)(374, 860)(375, 861)(376, 862)(377, 863)(378, 864)(379, 865)(380, 866)(381, 867)(382, 868)(383, 869)(384, 870)(385, 871)(386, 872)(387, 873)(388, 874)(389, 875)(390, 876)(391, 877)(392, 878)(393, 879)(394, 880)(395, 881)(396, 882)(397, 883)(398, 884)(399, 885)(400, 886)(401, 887)(402, 888)(403, 889)(404, 890)(405, 891)(406, 892)(407, 893)(408, 894)(409, 895)(410, 896)(411, 897)(412, 898)(413, 899)(414, 900)(415, 901)(416, 902)(417, 903)(418, 904)(419, 905)(420, 906)(421, 907)(422, 908)(423, 909)(424, 910)(425, 911)(426, 912)(427, 913)(428, 914)(429, 915)(430, 916)(431, 917)(432, 918)(433, 919)(434, 920)(435, 921)(436, 922)(437, 923)(438, 924)(439, 925)(440, 926)(441, 927)(442, 928)(443, 929)(444, 930)(445, 931)(446, 932)(447, 933)(448, 934)(449, 935)(450, 936)(451, 937)(452, 938)(453, 939)(454, 940)(455, 941)(456, 942)(457, 943)(458, 944)(459, 945)(460, 946)(461, 947)(462, 948)(463, 949)(464, 950)(465, 951)(466, 952)(467, 953)(468, 954)(469, 955)(470, 956)(471, 957)(472, 958)(473, 959)(474, 960)(475, 961)(476, 962)(477, 963)(478, 964)(479, 965)(480, 966)(481, 967)(482, 968)(483, 969)(484, 970)(485, 971)(486, 972)
	local type(s) :: { ( 36, 36 ), ( 36^3 ) }
Outer automorphisms :: reflexible
Dual of E28.3299
Transitivity :: ET+
Graph:: simple bipartite
	v = 405 e = 486 f = 27
	degree seq :: [ 2^243, 3^162 ]

E28.3296 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 18})
Quotient :: edge
Aut^+ = ((C9 x C9) : C3) : C2 (small group id <486, 36>)
Aut   = $<972, 115>$ (small group id <972, 115>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T2 * T1)^2, (T2^-1 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T1^-1 * T2 * T1 * T2 * T1^-1, (T2^2 * T1^-1)^3, T2^18, T2^3 * T1^-1 * T2^-7 * T1 * T2^4 * T1^-1 * T2^-8 * T1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 9, 19, 37, 64, 98, 142, 194, 255, 218, 161, 115, 77, 48, 26, 13, 5)(2, 6, 14, 27, 50, 80, 119, 166, 224, 287, 236, 178, 129, 88, 57, 32, 16, 7)(4, 11, 22, 41, 69, 105, 149, 203, 265, 310, 244, 185, 135, 92, 60, 34, 17, 8)(10, 21, 40, 67, 101, 145, 197, 258, 325, 379, 312, 246, 187, 136, 94, 61, 35, 18)(12, 23, 43, 71, 107, 152, 206, 268, 335, 400, 338, 270, 209, 153, 109, 72, 44, 24)(15, 29, 53, 82, 122, 169, 227, 290, 359, 421, 360, 291, 228, 170, 123, 83, 54, 30)(20, 39, 31, 55, 84, 124, 171, 229, 292, 361, 381, 314, 248, 188, 138, 95, 62, 36)(25, 45, 73, 110, 154, 210, 271, 339, 403, 393, 327, 260, 199, 146, 103, 68, 42, 46)(28, 52, 33, 58, 89, 130, 179, 237, 302, 369, 413, 349, 281, 219, 162, 116, 78, 49)(38, 66, 59, 90, 131, 180, 238, 303, 370, 430, 439, 383, 316, 249, 190, 139, 96, 63)(47, 74, 111, 156, 211, 273, 341, 405, 452, 414, 351, 282, 220, 163, 117, 79, 51, 75)(56, 85, 125, 173, 230, 294, 363, 423, 467, 446, 394, 328, 261, 200, 147, 104, 70, 86)(65, 100, 93, 127, 87, 126, 174, 231, 295, 364, 424, 441, 385, 317, 251, 191, 140, 97)(76, 112, 157, 213, 274, 343, 407, 454, 447, 395, 329, 262, 201, 148, 106, 151, 108, 113)(81, 121, 102, 133, 91, 132, 181, 239, 304, 371, 431, 461, 415, 352, 283, 221, 164, 118)(99, 144, 137, 183, 134, 182, 240, 305, 372, 432, 472, 477, 443, 386, 319, 252, 192, 141)(114, 158, 214, 276, 344, 409, 456, 482, 463, 416, 353, 284, 222, 165, 120, 168, 155, 159)(128, 175, 232, 297, 365, 426, 469, 486, 479, 448, 396, 330, 263, 202, 150, 205, 172, 176)(143, 196, 189, 245, 186, 234, 177, 233, 298, 366, 427, 470, 478, 444, 388, 320, 253, 193)(160, 215, 277, 346, 410, 458, 483, 476, 449, 397, 331, 264, 204, 267, 207, 269, 212, 216)(167, 226, 198, 259, 208, 242, 184, 241, 306, 373, 433, 473, 485, 464, 417, 354, 285, 223)(195, 257, 250, 313, 247, 308, 243, 307, 374, 434, 474, 453, 481, 457, 445, 389, 321, 254)(217, 278, 347, 412, 459, 442, 475, 438, 465, 418, 355, 286, 225, 289, 272, 340, 275, 279)(235, 299, 367, 429, 471, 462, 484, 460, 480, 450, 398, 332, 266, 334, 293, 362, 296, 300)(256, 324, 318, 382, 315, 378, 311, 368, 301, 357, 420, 404, 451, 408, 455, 411, 390, 322)(280, 323, 391, 387, 440, 384, 437, 380, 436, 377, 333, 399, 336, 401, 342, 406, 345, 348)(288, 358, 326, 392, 350, 402, 337, 376, 309, 375, 435, 422, 466, 425, 468, 428, 419, 356)(487, 488, 490)(489, 494, 496)(491, 498, 492)(493, 501, 497)(495, 504, 506)(499, 511, 509)(500, 510, 514)(502, 517, 515)(503, 519, 507)(505, 522, 524)(508, 516, 528)(512, 533, 531)(513, 535, 537)(518, 542, 541)(520, 545, 544)(521, 539, 525)(523, 549, 551)(526, 538, 530)(527, 554, 556)(529, 532, 540)(534, 562, 560)(536, 565, 567)(543, 573, 571)(546, 577, 576)(547, 579, 568)(548, 575, 552)(550, 583, 585)(553, 558, 588)(555, 590, 592)(557, 569, 594)(559, 561, 564)(563, 600, 598)(566, 604, 606)(570, 572, 589)(574, 614, 612)(578, 620, 618)(580, 611, 613)(581, 623, 616)(582, 608, 586)(584, 627, 629)(587, 607, 603)(591, 634, 636)(593, 637, 633)(595, 617, 619)(596, 602, 641)(597, 599, 609)(601, 646, 644)(605, 651, 653)(610, 632, 658)(615, 663, 661)(621, 670, 668)(622, 672, 659)(624, 667, 669)(625, 675, 655)(626, 665, 630)(628, 679, 681)(631, 649, 684)(635, 688, 690)(638, 686, 693)(639, 694, 666)(640, 654, 650)(642, 656, 698)(643, 645, 648)(647, 703, 701)(652, 709, 711)(657, 691, 687)(660, 662, 685)(664, 721, 719)(671, 729, 727)(673, 718, 720)(674, 733, 725)(676, 716, 731)(677, 736, 723)(678, 713, 682)(680, 740, 742)(683, 712, 708)(689, 750, 752)(692, 753, 749)(695, 726, 728)(696, 707, 758)(697, 755, 747)(699, 705, 761)(700, 702, 714)(704, 766, 764)(706, 724, 745)(710, 772, 774)(715, 748, 779)(717, 746, 782)(722, 787, 785)(730, 795, 793)(732, 797, 783)(734, 792, 794)(735, 801, 780)(737, 790, 799)(738, 804, 776)(739, 788, 743)(741, 808, 809)(744, 770, 812)(751, 818, 819)(754, 816, 822)(756, 823, 791)(757, 775, 771)(759, 814, 828)(760, 826, 769)(762, 777, 831)(763, 765, 767)(768, 836, 789)(773, 842, 843)(778, 820, 817)(781, 848, 815)(784, 786, 813)(796, 863, 861)(798, 853, 854)(800, 866, 859)(802, 851, 864)(803, 870, 857)(805, 849, 868)(806, 873, 855)(807, 845, 810)(811, 844, 841)(821, 885, 884)(824, 860, 862)(825, 840, 890)(827, 887, 882)(829, 838, 894)(830, 892, 880)(832, 835, 897)(833, 834, 846)(837, 858, 888)(839, 856, 878)(847, 883, 908)(850, 881, 911)(852, 879, 914)(865, 904, 915)(867, 921, 922)(869, 924, 912)(871, 919, 923)(872, 928, 909)(874, 917, 926)(875, 898, 907)(876, 899, 877)(886, 936, 920)(889, 906, 905)(891, 934, 939)(893, 937, 903)(895, 932, 943)(896, 941, 901)(900, 946, 918)(902, 948, 916)(910, 952, 935)(913, 954, 933)(925, 957, 951)(927, 962, 959)(929, 955, 961)(930, 944, 947)(931, 953, 945)(938, 960, 966)(940, 950, 956)(942, 967, 965)(949, 958, 970)(963, 968, 972)(964, 971, 969)
	L = (1, 487)(2, 488)(3, 489)(4, 490)(5, 491)(6, 492)(7, 493)(8, 494)(9, 495)(10, 496)(11, 497)(12, 498)(13, 499)(14, 500)(15, 501)(16, 502)(17, 503)(18, 504)(19, 505)(20, 506)(21, 507)(22, 508)(23, 509)(24, 510)(25, 511)(26, 512)(27, 513)(28, 514)(29, 515)(30, 516)(31, 517)(32, 518)(33, 519)(34, 520)(35, 521)(36, 522)(37, 523)(38, 524)(39, 525)(40, 526)(41, 527)(42, 528)(43, 529)(44, 530)(45, 531)(46, 532)(47, 533)(48, 534)(49, 535)(50, 536)(51, 537)(52, 538)(53, 539)(54, 540)(55, 541)(56, 542)(57, 543)(58, 544)(59, 545)(60, 546)(61, 547)(62, 548)(63, 549)(64, 550)(65, 551)(66, 552)(67, 553)(68, 554)(69, 555)(70, 556)(71, 557)(72, 558)(73, 559)(74, 560)(75, 561)(76, 562)(77, 563)(78, 564)(79, 565)(80, 566)(81, 567)(82, 568)(83, 569)(84, 570)(85, 571)(86, 572)(87, 573)(88, 574)(89, 575)(90, 576)(91, 577)(92, 578)(93, 579)(94, 580)(95, 581)(96, 582)(97, 583)(98, 584)(99, 585)(100, 586)(101, 587)(102, 588)(103, 589)(104, 590)(105, 591)(106, 592)(107, 593)(108, 594)(109, 595)(110, 596)(111, 597)(112, 598)(113, 599)(114, 600)(115, 601)(116, 602)(117, 603)(118, 604)(119, 605)(120, 606)(121, 607)(122, 608)(123, 609)(124, 610)(125, 611)(126, 612)(127, 613)(128, 614)(129, 615)(130, 616)(131, 617)(132, 618)(133, 619)(134, 620)(135, 621)(136, 622)(137, 623)(138, 624)(139, 625)(140, 626)(141, 627)(142, 628)(143, 629)(144, 630)(145, 631)(146, 632)(147, 633)(148, 634)(149, 635)(150, 636)(151, 637)(152, 638)(153, 639)(154, 640)(155, 641)(156, 642)(157, 643)(158, 644)(159, 645)(160, 646)(161, 647)(162, 648)(163, 649)(164, 650)(165, 651)(166, 652)(167, 653)(168, 654)(169, 655)(170, 656)(171, 657)(172, 658)(173, 659)(174, 660)(175, 661)(176, 662)(177, 663)(178, 664)(179, 665)(180, 666)(181, 667)(182, 668)(183, 669)(184, 670)(185, 671)(186, 672)(187, 673)(188, 674)(189, 675)(190, 676)(191, 677)(192, 678)(193, 679)(194, 680)(195, 681)(196, 682)(197, 683)(198, 684)(199, 685)(200, 686)(201, 687)(202, 688)(203, 689)(204, 690)(205, 691)(206, 692)(207, 693)(208, 694)(209, 695)(210, 696)(211, 697)(212, 698)(213, 699)(214, 700)(215, 701)(216, 702)(217, 703)(218, 704)(219, 705)(220, 706)(221, 707)(222, 708)(223, 709)(224, 710)(225, 711)(226, 712)(227, 713)(228, 714)(229, 715)(230, 716)(231, 717)(232, 718)(233, 719)(234, 720)(235, 721)(236, 722)(237, 723)(238, 724)(239, 725)(240, 726)(241, 727)(242, 728)(243, 729)(244, 730)(245, 731)(246, 732)(247, 733)(248, 734)(249, 735)(250, 736)(251, 737)(252, 738)(253, 739)(254, 740)(255, 741)(256, 742)(257, 743)(258, 744)(259, 745)(260, 746)(261, 747)(262, 748)(263, 749)(264, 750)(265, 751)(266, 752)(267, 753)(268, 754)(269, 755)(270, 756)(271, 757)(272, 758)(273, 759)(274, 760)(275, 761)(276, 762)(277, 763)(278, 764)(279, 765)(280, 766)(281, 767)(282, 768)(283, 769)(284, 770)(285, 771)(286, 772)(287, 773)(288, 774)(289, 775)(290, 776)(291, 777)(292, 778)(293, 779)(294, 780)(295, 781)(296, 782)(297, 783)(298, 784)(299, 785)(300, 786)(301, 787)(302, 788)(303, 789)(304, 790)(305, 791)(306, 792)(307, 793)(308, 794)(309, 795)(310, 796)(311, 797)(312, 798)(313, 799)(314, 800)(315, 801)(316, 802)(317, 803)(318, 804)(319, 805)(320, 806)(321, 807)(322, 808)(323, 809)(324, 810)(325, 811)(326, 812)(327, 813)(328, 814)(329, 815)(330, 816)(331, 817)(332, 818)(333, 819)(334, 820)(335, 821)(336, 822)(337, 823)(338, 824)(339, 825)(340, 826)(341, 827)(342, 828)(343, 829)(344, 830)(345, 831)(346, 832)(347, 833)(348, 834)(349, 835)(350, 836)(351, 837)(352, 838)(353, 839)(354, 840)(355, 841)(356, 842)(357, 843)(358, 844)(359, 845)(360, 846)(361, 847)(362, 848)(363, 849)(364, 850)(365, 851)(366, 852)(367, 853)(368, 854)(369, 855)(370, 856)(371, 857)(372, 858)(373, 859)(374, 860)(375, 861)(376, 862)(377, 863)(378, 864)(379, 865)(380, 866)(381, 867)(382, 868)(383, 869)(384, 870)(385, 871)(386, 872)(387, 873)(388, 874)(389, 875)(390, 876)(391, 877)(392, 878)(393, 879)(394, 880)(395, 881)(396, 882)(397, 883)(398, 884)(399, 885)(400, 886)(401, 887)(402, 888)(403, 889)(404, 890)(405, 891)(406, 892)(407, 893)(408, 894)(409, 895)(410, 896)(411, 897)(412, 898)(413, 899)(414, 900)(415, 901)(416, 902)(417, 903)(418, 904)(419, 905)(420, 906)(421, 907)(422, 908)(423, 909)(424, 910)(425, 911)(426, 912)(427, 913)(428, 914)(429, 915)(430, 916)(431, 917)(432, 918)(433, 919)(434, 920)(435, 921)(436, 922)(437, 923)(438, 924)(439, 925)(440, 926)(441, 927)(442, 928)(443, 929)(444, 930)(445, 931)(446, 932)(447, 933)(448, 934)(449, 935)(450, 936)(451, 937)(452, 938)(453, 939)(454, 940)(455, 941)(456, 942)(457, 943)(458, 944)(459, 945)(460, 946)(461, 947)(462, 948)(463, 949)(464, 950)(465, 951)(466, 952)(467, 953)(468, 954)(469, 955)(470, 956)(471, 957)(472, 958)(473, 959)(474, 960)(475, 961)(476, 962)(477, 963)(478, 964)(479, 965)(480, 966)(481, 967)(482, 968)(483, 969)(484, 970)(485, 971)(486, 972)
	local type(s) :: { ( 4^3 ), ( 4^18 ) }
Outer automorphisms :: reflexible
Dual of E28.3300
Transitivity :: ET+
Graph:: simple bipartite
	v = 189 e = 486 f = 243
	degree seq :: [ 3^162, 18^27 ]

E28.3297 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 18})
Quotient :: edge
Aut^+ = ((C9 x C9) : C3) : C2 (small group id <486, 36>)
Aut   = $<972, 115>$ (small group id <972, 115>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2)^3, T1^-1 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-1, T1^18, T1^-4 * T2 * T1^3 * T2 * T1^-1 * T2 * T1^3 * T2 * T1^-4 * T2 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 13)(10, 19)(11, 22)(14, 23)(15, 28)(17, 30)(18, 33)(20, 35)(21, 38)(24, 39)(25, 44)(26, 45)(27, 48)(29, 49)(31, 53)(32, 56)(34, 59)(36, 61)(37, 64)(40, 65)(41, 70)(42, 71)(43, 74)(46, 77)(47, 80)(50, 81)(51, 69)(52, 67)(54, 86)(55, 89)(57, 75)(58, 83)(60, 93)(62, 95)(63, 98)(66, 99)(68, 103)(72, 107)(73, 110)(76, 101)(78, 113)(79, 116)(82, 117)(84, 121)(85, 124)(87, 126)(88, 129)(90, 130)(91, 134)(92, 132)(94, 137)(96, 139)(97, 142)(100, 143)(102, 147)(104, 150)(105, 153)(106, 145)(108, 155)(109, 158)(111, 159)(112, 163)(114, 165)(115, 168)(118, 169)(119, 152)(120, 173)(122, 162)(123, 161)(125, 154)(127, 178)(128, 181)(131, 160)(133, 171)(135, 186)(136, 174)(138, 189)(140, 191)(141, 194)(144, 195)(146, 199)(148, 202)(149, 197)(151, 205)(156, 209)(157, 212)(164, 204)(166, 217)(167, 220)(170, 221)(172, 225)(175, 228)(176, 231)(177, 233)(179, 235)(180, 238)(182, 239)(183, 242)(184, 245)(185, 241)(187, 248)(188, 243)(190, 251)(192, 253)(193, 254)(196, 255)(198, 259)(200, 262)(201, 257)(203, 265)(206, 268)(207, 271)(208, 264)(210, 273)(211, 276)(213, 277)(214, 280)(215, 283)(216, 285)(218, 287)(219, 290)(222, 291)(223, 270)(224, 295)(226, 282)(227, 298)(229, 284)(230, 279)(232, 281)(234, 272)(236, 304)(237, 306)(240, 278)(244, 293)(246, 312)(247, 296)(249, 315)(250, 299)(252, 318)(256, 320)(258, 324)(260, 327)(261, 322)(263, 330)(266, 333)(267, 329)(269, 336)(274, 340)(275, 343)(286, 335)(288, 350)(289, 351)(292, 352)(294, 356)(297, 359)(300, 362)(301, 365)(302, 367)(303, 369)(305, 371)(307, 372)(308, 375)(309, 377)(310, 380)(311, 374)(313, 383)(314, 376)(316, 386)(317, 378)(319, 321)(323, 391)(325, 394)(326, 389)(328, 397)(331, 400)(332, 396)(334, 403)(337, 406)(338, 409)(339, 402)(341, 411)(342, 412)(344, 413)(345, 416)(346, 418)(347, 421)(348, 423)(349, 425)(353, 427)(354, 408)(355, 430)(357, 420)(358, 433)(360, 422)(361, 390)(363, 424)(364, 415)(366, 417)(368, 419)(370, 410)(373, 414)(379, 428)(381, 441)(382, 431)(384, 444)(385, 434)(387, 392)(388, 393)(395, 449)(398, 452)(399, 448)(401, 455)(404, 458)(405, 454)(407, 461)(426, 460)(429, 462)(432, 469)(435, 471)(436, 472)(437, 467)(438, 466)(439, 474)(440, 447)(442, 473)(443, 475)(445, 450)(446, 451)(453, 479)(456, 482)(457, 478)(459, 483)(463, 484)(464, 485)(465, 486)(468, 477)(470, 480)(476, 481)(487, 488, 491, 497, 507, 523, 549, 583, 627, 679, 678, 626, 582, 548, 522, 506, 496, 490)(489, 493, 501, 513, 533, 565, 601, 653, 705, 775, 722, 665, 613, 573, 540, 517, 503, 494)(492, 499, 511, 529, 559, 595, 643, 697, 761, 828, 774, 704, 652, 600, 564, 532, 512, 500)(495, 504, 518, 541, 574, 614, 666, 723, 791, 849, 786, 715, 661, 608, 570, 537, 515, 502)(498, 509, 527, 555, 591, 638, 693, 756, 824, 894, 827, 760, 696, 642, 594, 558, 528, 510)(505, 520, 544, 577, 619, 670, 730, 796, 865, 905, 832, 767, 700, 647, 597, 560, 543, 519)(508, 525, 553, 539, 571, 609, 662, 716, 787, 850, 893, 823, 755, 692, 637, 590, 554, 526)(514, 535, 556, 531, 562, 589, 635, 685, 747, 810, 879, 847, 785, 713, 660, 606, 569, 536)(516, 538, 557, 592, 633, 687, 745, 812, 877, 864, 795, 729, 669, 618, 576, 542, 561, 530)(521, 546, 578, 621, 671, 732, 797, 867, 921, 846, 783, 712, 658, 605, 568, 534, 567, 545)(524, 551, 587, 563, 598, 648, 701, 768, 833, 906, 945, 890, 820, 752, 689, 634, 588, 552)(547, 580, 622, 673, 733, 799, 868, 928, 950, 903, 831, 765, 699, 644, 617, 575, 616, 579)(550, 585, 631, 593, 640, 612, 663, 718, 788, 852, 922, 942, 887, 817, 749, 686, 632, 586)(566, 603, 639, 607, 649, 599, 650, 691, 753, 816, 885, 935, 920, 844, 782, 710, 657, 604)(572, 611, 641, 694, 751, 818, 883, 937, 926, 862, 794, 727, 668, 615, 646, 596, 645, 610)(581, 624, 674, 735, 800, 870, 929, 956, 918, 843, 780, 709, 656, 602, 655, 620, 659, 623)(584, 629, 683, 636, 690, 651, 702, 770, 834, 908, 951, 966, 939, 884, 814, 746, 684, 630)(625, 676, 736, 802, 871, 931, 962, 968, 949, 901, 830, 762, 726, 667, 725, 672, 728, 675)(628, 681, 743, 688, 750, 695, 758, 721, 789, 854, 923, 959, 963, 936, 881, 811, 744, 682)(654, 707, 757, 711, 769, 714, 771, 703, 772, 822, 891, 941, 967, 954, 917, 841, 779, 708)(664, 720, 759, 825, 889, 943, 965, 961, 925, 860, 793, 724, 764, 698, 763, 717, 766, 719)(677, 738, 803, 873, 932, 938, 964, 944, 915, 840, 778, 706, 777, 731, 781, 734, 784, 737)(680, 741, 808, 748, 815, 754, 821, 773, 835, 910, 952, 927, 960, 930, 933, 878, 809, 742)(739, 805, 874, 880, 934, 886, 940, 892, 946, 898, 859, 792, 858, 798, 861, 801, 863, 804)(740, 806, 875, 813, 882, 819, 888, 826, 896, 837, 913, 866, 916, 869, 919, 872, 876, 807)(776, 838, 895, 842, 907, 845, 909, 848, 911, 836, 912, 947, 970, 958, 971, 953, 914, 839)(790, 856, 897, 948, 969, 955, 972, 957, 924, 857, 900, 829, 899, 851, 902, 853, 904, 855)
	L = (1, 487)(2, 488)(3, 489)(4, 490)(5, 491)(6, 492)(7, 493)(8, 494)(9, 495)(10, 496)(11, 497)(12, 498)(13, 499)(14, 500)(15, 501)(16, 502)(17, 503)(18, 504)(19, 505)(20, 506)(21, 507)(22, 508)(23, 509)(24, 510)(25, 511)(26, 512)(27, 513)(28, 514)(29, 515)(30, 516)(31, 517)(32, 518)(33, 519)(34, 520)(35, 521)(36, 522)(37, 523)(38, 524)(39, 525)(40, 526)(41, 527)(42, 528)(43, 529)(44, 530)(45, 531)(46, 532)(47, 533)(48, 534)(49, 535)(50, 536)(51, 537)(52, 538)(53, 539)(54, 540)(55, 541)(56, 542)(57, 543)(58, 544)(59, 545)(60, 546)(61, 547)(62, 548)(63, 549)(64, 550)(65, 551)(66, 552)(67, 553)(68, 554)(69, 555)(70, 556)(71, 557)(72, 558)(73, 559)(74, 560)(75, 561)(76, 562)(77, 563)(78, 564)(79, 565)(80, 566)(81, 567)(82, 568)(83, 569)(84, 570)(85, 571)(86, 572)(87, 573)(88, 574)(89, 575)(90, 576)(91, 577)(92, 578)(93, 579)(94, 580)(95, 581)(96, 582)(97, 583)(98, 584)(99, 585)(100, 586)(101, 587)(102, 588)(103, 589)(104, 590)(105, 591)(106, 592)(107, 593)(108, 594)(109, 595)(110, 596)(111, 597)(112, 598)(113, 599)(114, 600)(115, 601)(116, 602)(117, 603)(118, 604)(119, 605)(120, 606)(121, 607)(122, 608)(123, 609)(124, 610)(125, 611)(126, 612)(127, 613)(128, 614)(129, 615)(130, 616)(131, 617)(132, 618)(133, 619)(134, 620)(135, 621)(136, 622)(137, 623)(138, 624)(139, 625)(140, 626)(141, 627)(142, 628)(143, 629)(144, 630)(145, 631)(146, 632)(147, 633)(148, 634)(149, 635)(150, 636)(151, 637)(152, 638)(153, 639)(154, 640)(155, 641)(156, 642)(157, 643)(158, 644)(159, 645)(160, 646)(161, 647)(162, 648)(163, 649)(164, 650)(165, 651)(166, 652)(167, 653)(168, 654)(169, 655)(170, 656)(171, 657)(172, 658)(173, 659)(174, 660)(175, 661)(176, 662)(177, 663)(178, 664)(179, 665)(180, 666)(181, 667)(182, 668)(183, 669)(184, 670)(185, 671)(186, 672)(187, 673)(188, 674)(189, 675)(190, 676)(191, 677)(192, 678)(193, 679)(194, 680)(195, 681)(196, 682)(197, 683)(198, 684)(199, 685)(200, 686)(201, 687)(202, 688)(203, 689)(204, 690)(205, 691)(206, 692)(207, 693)(208, 694)(209, 695)(210, 696)(211, 697)(212, 698)(213, 699)(214, 700)(215, 701)(216, 702)(217, 703)(218, 704)(219, 705)(220, 706)(221, 707)(222, 708)(223, 709)(224, 710)(225, 711)(226, 712)(227, 713)(228, 714)(229, 715)(230, 716)(231, 717)(232, 718)(233, 719)(234, 720)(235, 721)(236, 722)(237, 723)(238, 724)(239, 725)(240, 726)(241, 727)(242, 728)(243, 729)(244, 730)(245, 731)(246, 732)(247, 733)(248, 734)(249, 735)(250, 736)(251, 737)(252, 738)(253, 739)(254, 740)(255, 741)(256, 742)(257, 743)(258, 744)(259, 745)(260, 746)(261, 747)(262, 748)(263, 749)(264, 750)(265, 751)(266, 752)(267, 753)(268, 754)(269, 755)(270, 756)(271, 757)(272, 758)(273, 759)(274, 760)(275, 761)(276, 762)(277, 763)(278, 764)(279, 765)(280, 766)(281, 767)(282, 768)(283, 769)(284, 770)(285, 771)(286, 772)(287, 773)(288, 774)(289, 775)(290, 776)(291, 777)(292, 778)(293, 779)(294, 780)(295, 781)(296, 782)(297, 783)(298, 784)(299, 785)(300, 786)(301, 787)(302, 788)(303, 789)(304, 790)(305, 791)(306, 792)(307, 793)(308, 794)(309, 795)(310, 796)(311, 797)(312, 798)(313, 799)(314, 800)(315, 801)(316, 802)(317, 803)(318, 804)(319, 805)(320, 806)(321, 807)(322, 808)(323, 809)(324, 810)(325, 811)(326, 812)(327, 813)(328, 814)(329, 815)(330, 816)(331, 817)(332, 818)(333, 819)(334, 820)(335, 821)(336, 822)(337, 823)(338, 824)(339, 825)(340, 826)(341, 827)(342, 828)(343, 829)(344, 830)(345, 831)(346, 832)(347, 833)(348, 834)(349, 835)(350, 836)(351, 837)(352, 838)(353, 839)(354, 840)(355, 841)(356, 842)(357, 843)(358, 844)(359, 845)(360, 846)(361, 847)(362, 848)(363, 849)(364, 850)(365, 851)(366, 852)(367, 853)(368, 854)(369, 855)(370, 856)(371, 857)(372, 858)(373, 859)(374, 860)(375, 861)(376, 862)(377, 863)(378, 864)(379, 865)(380, 866)(381, 867)(382, 868)(383, 869)(384, 870)(385, 871)(386, 872)(387, 873)(388, 874)(389, 875)(390, 876)(391, 877)(392, 878)(393, 879)(394, 880)(395, 881)(396, 882)(397, 883)(398, 884)(399, 885)(400, 886)(401, 887)(402, 888)(403, 889)(404, 890)(405, 891)(406, 892)(407, 893)(408, 894)(409, 895)(410, 896)(411, 897)(412, 898)(413, 899)(414, 900)(415, 901)(416, 902)(417, 903)(418, 904)(419, 905)(420, 906)(421, 907)(422, 908)(423, 909)(424, 910)(425, 911)(426, 912)(427, 913)(428, 914)(429, 915)(430, 916)(431, 917)(432, 918)(433, 919)(434, 920)(435, 921)(436, 922)(437, 923)(438, 924)(439, 925)(440, 926)(441, 927)(442, 928)(443, 929)(444, 930)(445, 931)(446, 932)(447, 933)(448, 934)(449, 935)(450, 936)(451, 937)(452, 938)(453, 939)(454, 940)(455, 941)(456, 942)(457, 943)(458, 944)(459, 945)(460, 946)(461, 947)(462, 948)(463, 949)(464, 950)(465, 951)(466, 952)(467, 953)(468, 954)(469, 955)(470, 956)(471, 957)(472, 958)(473, 959)(474, 960)(475, 961)(476, 962)(477, 963)(478, 964)(479, 965)(480, 966)(481, 967)(482, 968)(483, 969)(484, 970)(485, 971)(486, 972)
	local type(s) :: { ( 6, 6 ), ( 6^18 ) }
Outer automorphisms :: reflexible
Dual of E28.3298
Transitivity :: ET+
Graph:: simple bipartite
	v = 270 e = 486 f = 162
	degree seq :: [ 2^243, 18^27 ]

E28.3298 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 18})
Quotient :: loop
Aut^+ = ((C9 x C9) : C3) : C2 (small group id <486, 36>)
Aut   = $<972, 115>$ (small group id <972, 115>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^3, (F * T1)^2, (F * T2)^2, (T1 * T2^-1 * T1 * T2)^3, (T2^-1 * T1)^18 ]
Map::
	R = (1, 487, 3, 489, 4, 490)(2, 488, 5, 491, 6, 492)(7, 493, 11, 497, 12, 498)(8, 494, 13, 499, 14, 500)(9, 495, 15, 501, 16, 502)(10, 496, 17, 503, 18, 504)(19, 505, 27, 513, 28, 514)(20, 506, 29, 515, 30, 516)(21, 507, 31, 517, 32, 518)(22, 508, 33, 519, 34, 520)(23, 509, 35, 521, 36, 522)(24, 510, 37, 523, 38, 524)(25, 511, 39, 525, 40, 526)(26, 512, 41, 527, 42, 528)(43, 529, 55, 541, 56, 542)(44, 530, 47, 533, 57, 543)(45, 531, 58, 544, 59, 545)(46, 532, 60, 546, 61, 547)(48, 534, 62, 548, 63, 549)(49, 535, 64, 550, 65, 551)(50, 536, 53, 539, 66, 552)(51, 537, 67, 553, 68, 554)(52, 538, 69, 555, 70, 556)(54, 540, 71, 557, 72, 558)(73, 559, 91, 577, 92, 578)(74, 560, 76, 562, 93, 579)(75, 561, 94, 580, 95, 581)(77, 563, 96, 582, 97, 583)(78, 564, 98, 584, 99, 585)(79, 565, 80, 566, 100, 586)(81, 567, 101, 587, 102, 588)(82, 568, 103, 589, 104, 590)(83, 569, 85, 571, 105, 591)(84, 570, 106, 592, 107, 593)(86, 572, 108, 594, 109, 595)(87, 573, 110, 596, 111, 597)(88, 574, 89, 575, 112, 598)(90, 576, 113, 599, 114, 600)(115, 601, 193, 679, 373, 859)(116, 602, 118, 604, 210, 696)(117, 603, 147, 633, 263, 749)(119, 605, 123, 609, 216, 702)(120, 606, 127, 613, 221, 707)(121, 607, 171, 657, 319, 805)(122, 608, 136, 622, 236, 722)(124, 610, 125, 611, 219, 705)(126, 612, 220, 706, 205, 691)(128, 614, 222, 708, 201, 687)(129, 615, 223, 709, 224, 710)(130, 616, 225, 711, 226, 712)(131, 617, 227, 713, 228, 714)(132, 618, 229, 715, 230, 716)(133, 619, 231, 717, 232, 718)(134, 620, 233, 719, 204, 690)(135, 621, 234, 720, 235, 721)(137, 623, 237, 723, 239, 725)(138, 624, 240, 726, 241, 727)(139, 625, 242, 728, 244, 730)(140, 626, 245, 731, 247, 733)(141, 627, 248, 734, 250, 736)(142, 628, 251, 737, 252, 738)(143, 629, 253, 739, 255, 741)(144, 630, 256, 742, 258, 744)(145, 631, 259, 745, 260, 746)(146, 632, 261, 747, 262, 748)(148, 634, 265, 751, 266, 752)(149, 635, 267, 753, 199, 685)(150, 636, 269, 755, 270, 756)(151, 637, 271, 757, 197, 683)(152, 638, 272, 758, 274, 760)(153, 639, 275, 761, 276, 762)(154, 640, 277, 763, 279, 765)(155, 641, 280, 766, 282, 768)(156, 642, 283, 769, 285, 771)(157, 643, 286, 772, 288, 774)(158, 644, 289, 775, 291, 777)(159, 645, 292, 778, 293, 779)(160, 646, 294, 780, 296, 782)(161, 647, 297, 783, 299, 785)(162, 648, 300, 786, 302, 788)(163, 649, 303, 789, 305, 791)(164, 650, 307, 793, 308, 794)(165, 651, 309, 795, 246, 732)(166, 652, 311, 797, 304, 790)(167, 653, 312, 798, 202, 688)(168, 654, 314, 800, 315, 801)(169, 655, 316, 802, 257, 743)(170, 656, 318, 804, 287, 773)(172, 658, 320, 806, 322, 808)(173, 659, 323, 809, 324, 810)(174, 660, 325, 811, 327, 813)(175, 661, 328, 814, 330, 816)(176, 662, 331, 817, 332, 818)(177, 663, 333, 819, 335, 821)(178, 664, 336, 822, 337, 823)(179, 665, 338, 824, 339, 825)(180, 666, 340, 826, 341, 827)(181, 667, 342, 828, 343, 829)(182, 668, 345, 831, 346, 832)(183, 669, 347, 833, 349, 835)(184, 670, 350, 836, 352, 838)(185, 671, 354, 840, 355, 841)(186, 672, 356, 842, 358, 844)(187, 673, 360, 846, 361, 847)(188, 674, 362, 848, 363, 849)(189, 675, 321, 807, 365, 851)(190, 676, 367, 853, 368, 854)(191, 677, 369, 855, 278, 764)(192, 678, 371, 857, 372, 858)(194, 680, 206, 692, 374, 860)(195, 681, 198, 684, 376, 862)(196, 682, 378, 864, 379, 865)(200, 686, 382, 868, 295, 781)(203, 689, 385, 871, 386, 872)(207, 693, 388, 874, 389, 875)(208, 694, 391, 877, 392, 878)(209, 695, 393, 879, 395, 881)(211, 697, 396, 882, 398, 884)(212, 698, 400, 886, 401, 887)(213, 699, 334, 820, 402, 888)(214, 700, 403, 889, 404, 890)(215, 701, 405, 891, 407, 893)(217, 703, 408, 894, 409, 895)(218, 704, 290, 776, 411, 897)(238, 724, 416, 902, 432, 918)(243, 729, 412, 898, 443, 929)(249, 735, 418, 904, 426, 912)(254, 740, 414, 900, 453, 939)(264, 750, 462, 948, 463, 949)(268, 754, 420, 906, 465, 951)(273, 759, 434, 920, 387, 873)(281, 767, 436, 922, 422, 908)(284, 770, 424, 910, 468, 954)(298, 784, 439, 925, 428, 914)(301, 787, 430, 916, 460, 946)(306, 792, 477, 963, 481, 967)(310, 796, 457, 943, 464, 950)(313, 799, 480, 966, 478, 964)(317, 803, 447, 933, 459, 945)(326, 812, 461, 947, 445, 931)(329, 815, 441, 927, 438, 924)(344, 830, 421, 907, 467, 953)(348, 834, 469, 955, 455, 941)(351, 837, 451, 937, 410, 896)(353, 839, 470, 956, 437, 923)(357, 843, 466, 952, 383, 869)(359, 845, 449, 935, 435, 921)(364, 850, 397, 883, 472, 958)(366, 852, 417, 903, 458, 944)(370, 856, 413, 899, 474, 960)(375, 861, 475, 961, 476, 962)(377, 863, 419, 905, 399, 885)(380, 866, 394, 880, 482, 968)(381, 867, 427, 913, 471, 957)(384, 870, 415, 901, 473, 959)(390, 876, 425, 911, 452, 938)(406, 892, 483, 969, 454, 940)(423, 909, 450, 936, 456, 942)(429, 915, 440, 926, 446, 932)(431, 917, 442, 928, 448, 934)(433, 919, 479, 965, 486, 972)(444, 930, 485, 971, 484, 970)
	L = (1, 488)(2, 487)(3, 493)(4, 494)(5, 495)(6, 496)(7, 489)(8, 490)(9, 491)(10, 492)(11, 505)(12, 506)(13, 507)(14, 508)(15, 509)(16, 510)(17, 511)(18, 512)(19, 497)(20, 498)(21, 499)(22, 500)(23, 501)(24, 502)(25, 503)(26, 504)(27, 529)(28, 530)(29, 523)(30, 531)(31, 532)(32, 526)(33, 533)(34, 534)(35, 535)(36, 536)(37, 515)(38, 537)(39, 538)(40, 518)(41, 539)(42, 540)(43, 513)(44, 514)(45, 516)(46, 517)(47, 519)(48, 520)(49, 521)(50, 522)(51, 524)(52, 525)(53, 527)(54, 528)(55, 559)(56, 560)(57, 561)(58, 562)(59, 563)(60, 564)(61, 565)(62, 566)(63, 567)(64, 568)(65, 569)(66, 570)(67, 571)(68, 572)(69, 573)(70, 574)(71, 575)(72, 576)(73, 541)(74, 542)(75, 543)(76, 544)(77, 545)(78, 546)(79, 547)(80, 548)(81, 549)(82, 550)(83, 551)(84, 552)(85, 553)(86, 554)(87, 555)(88, 556)(89, 557)(90, 558)(91, 601)(92, 602)(93, 603)(94, 604)(95, 605)(96, 594)(97, 606)(98, 607)(99, 597)(100, 608)(101, 609)(102, 610)(103, 680)(104, 681)(105, 683)(106, 684)(107, 685)(108, 582)(109, 687)(110, 688)(111, 585)(112, 690)(113, 635)(114, 691)(115, 577)(116, 578)(117, 579)(118, 580)(119, 581)(120, 583)(121, 584)(122, 586)(123, 587)(124, 588)(125, 629)(126, 625)(127, 642)(128, 648)(129, 617)(130, 623)(131, 615)(132, 627)(133, 661)(134, 665)(135, 670)(136, 674)(137, 616)(138, 638)(139, 612)(140, 641)(141, 618)(142, 644)(143, 611)(144, 647)(145, 697)(146, 672)(147, 703)(148, 750)(149, 599)(150, 663)(151, 754)(152, 624)(153, 658)(154, 646)(155, 626)(156, 613)(157, 660)(158, 628)(159, 667)(160, 640)(161, 630)(162, 614)(163, 669)(164, 792)(165, 770)(166, 796)(167, 740)(168, 799)(169, 787)(170, 803)(171, 729)(172, 639)(173, 693)(174, 643)(175, 619)(176, 695)(177, 636)(178, 700)(179, 620)(180, 701)(181, 645)(182, 830)(183, 649)(184, 621)(185, 839)(186, 632)(187, 845)(188, 622)(189, 850)(190, 852)(191, 815)(192, 856)(193, 724)(194, 589)(195, 590)(196, 863)(197, 591)(198, 592)(199, 593)(200, 837)(201, 595)(202, 596)(203, 870)(204, 598)(205, 600)(206, 735)(207, 659)(208, 876)(209, 662)(210, 732)(211, 631)(212, 885)(213, 869)(214, 664)(215, 666)(216, 718)(217, 633)(218, 896)(219, 712)(220, 716)(221, 710)(222, 714)(223, 727)(224, 707)(225, 733)(226, 705)(227, 738)(228, 708)(229, 744)(230, 706)(231, 725)(232, 702)(233, 730)(234, 736)(235, 753)(236, 741)(237, 762)(238, 679)(239, 717)(240, 765)(241, 709)(242, 756)(243, 657)(244, 719)(245, 774)(246, 696)(247, 711)(248, 779)(249, 692)(250, 720)(251, 782)(252, 713)(253, 748)(254, 653)(255, 722)(256, 791)(257, 862)(258, 715)(259, 760)(260, 769)(261, 768)(262, 739)(263, 771)(264, 634)(265, 777)(266, 786)(267, 721)(268, 637)(269, 785)(270, 728)(271, 788)(272, 810)(273, 902)(274, 745)(275, 813)(276, 723)(277, 818)(278, 894)(279, 726)(280, 823)(281, 898)(282, 747)(283, 746)(284, 651)(285, 749)(286, 827)(287, 848)(288, 731)(289, 832)(290, 904)(291, 751)(292, 835)(293, 734)(294, 841)(295, 906)(296, 737)(297, 847)(298, 900)(299, 755)(300, 752)(301, 655)(302, 757)(303, 851)(304, 824)(305, 742)(306, 650)(307, 808)(308, 814)(309, 816)(310, 652)(311, 821)(312, 825)(313, 654)(314, 829)(315, 836)(316, 838)(317, 656)(318, 844)(319, 849)(320, 878)(321, 920)(322, 793)(323, 881)(324, 758)(325, 887)(326, 910)(327, 761)(328, 794)(329, 677)(330, 795)(331, 888)(332, 763)(333, 872)(334, 922)(335, 797)(336, 893)(337, 766)(338, 790)(339, 798)(340, 897)(341, 772)(342, 962)(343, 800)(344, 668)(345, 923)(346, 775)(347, 968)(348, 916)(349, 778)(350, 801)(351, 686)(352, 802)(353, 671)(354, 952)(355, 780)(356, 858)(357, 925)(358, 804)(359, 673)(360, 958)(361, 783)(362, 773)(363, 805)(364, 675)(365, 789)(366, 676)(367, 875)(368, 882)(369, 884)(370, 678)(371, 890)(372, 842)(373, 895)(374, 951)(375, 934)(376, 743)(377, 682)(378, 953)(379, 948)(380, 944)(381, 889)(382, 949)(383, 699)(384, 689)(385, 921)(386, 819)(387, 924)(388, 942)(389, 853)(390, 694)(391, 905)(392, 806)(393, 969)(394, 927)(395, 809)(396, 854)(397, 947)(398, 855)(399, 698)(400, 937)(401, 811)(402, 817)(403, 867)(404, 857)(405, 955)(406, 933)(407, 822)(408, 764)(409, 859)(410, 704)(411, 826)(412, 767)(413, 936)(414, 784)(415, 926)(416, 759)(417, 961)(418, 776)(419, 877)(420, 781)(421, 932)(422, 945)(423, 917)(424, 812)(425, 915)(426, 946)(427, 928)(428, 950)(429, 911)(430, 834)(431, 909)(432, 954)(433, 938)(434, 807)(435, 871)(436, 820)(437, 831)(438, 873)(439, 843)(440, 901)(441, 880)(442, 913)(443, 939)(444, 959)(445, 967)(446, 907)(447, 892)(448, 861)(449, 972)(450, 899)(451, 886)(452, 919)(453, 929)(454, 960)(455, 964)(456, 874)(457, 971)(458, 866)(459, 908)(460, 912)(461, 883)(462, 865)(463, 868)(464, 914)(465, 860)(466, 840)(467, 864)(468, 918)(469, 891)(470, 970)(471, 966)(472, 846)(473, 930)(474, 940)(475, 903)(476, 828)(477, 965)(478, 941)(479, 963)(480, 957)(481, 931)(482, 833)(483, 879)(484, 956)(485, 943)(486, 935)
	local type(s) :: { ( 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.3297
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 162 e = 486 f = 270
	degree seq :: [ 6^162 ]

E28.3299 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 18})
Quotient :: loop
Aut^+ = ((C9 x C9) : C3) : C2 (small group id <486, 36>)
Aut   = $<972, 115>$ (small group id <972, 115>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T2 * T1)^2, (T2^-1 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T1^-1 * T2 * T1 * T2 * T1^-1, (T2^2 * T1^-1)^3, T2^18, T2^3 * T1^-1 * T2^-7 * T1 * T2^4 * T1^-1 * T2^-8 * T1^-1 ]
Map::
	R = (1, 487, 3, 489, 9, 495, 19, 505, 37, 523, 64, 550, 98, 584, 142, 628, 194, 680, 255, 741, 218, 704, 161, 647, 115, 601, 77, 563, 48, 534, 26, 512, 13, 499, 5, 491)(2, 488, 6, 492, 14, 500, 27, 513, 50, 536, 80, 566, 119, 605, 166, 652, 224, 710, 287, 773, 236, 722, 178, 664, 129, 615, 88, 574, 57, 543, 32, 518, 16, 502, 7, 493)(4, 490, 11, 497, 22, 508, 41, 527, 69, 555, 105, 591, 149, 635, 203, 689, 265, 751, 310, 796, 244, 730, 185, 671, 135, 621, 92, 578, 60, 546, 34, 520, 17, 503, 8, 494)(10, 496, 21, 507, 40, 526, 67, 553, 101, 587, 145, 631, 197, 683, 258, 744, 325, 811, 379, 865, 312, 798, 246, 732, 187, 673, 136, 622, 94, 580, 61, 547, 35, 521, 18, 504)(12, 498, 23, 509, 43, 529, 71, 557, 107, 593, 152, 638, 206, 692, 268, 754, 335, 821, 400, 886, 338, 824, 270, 756, 209, 695, 153, 639, 109, 595, 72, 558, 44, 530, 24, 510)(15, 501, 29, 515, 53, 539, 82, 568, 122, 608, 169, 655, 227, 713, 290, 776, 359, 845, 421, 907, 360, 846, 291, 777, 228, 714, 170, 656, 123, 609, 83, 569, 54, 540, 30, 516)(20, 506, 39, 525, 31, 517, 55, 541, 84, 570, 124, 610, 171, 657, 229, 715, 292, 778, 361, 847, 381, 867, 314, 800, 248, 734, 188, 674, 138, 624, 95, 581, 62, 548, 36, 522)(25, 511, 45, 531, 73, 559, 110, 596, 154, 640, 210, 696, 271, 757, 339, 825, 403, 889, 393, 879, 327, 813, 260, 746, 199, 685, 146, 632, 103, 589, 68, 554, 42, 528, 46, 532)(28, 514, 52, 538, 33, 519, 58, 544, 89, 575, 130, 616, 179, 665, 237, 723, 302, 788, 369, 855, 413, 899, 349, 835, 281, 767, 219, 705, 162, 648, 116, 602, 78, 564, 49, 535)(38, 524, 66, 552, 59, 545, 90, 576, 131, 617, 180, 666, 238, 724, 303, 789, 370, 856, 430, 916, 439, 925, 383, 869, 316, 802, 249, 735, 190, 676, 139, 625, 96, 582, 63, 549)(47, 533, 74, 560, 111, 597, 156, 642, 211, 697, 273, 759, 341, 827, 405, 891, 452, 938, 414, 900, 351, 837, 282, 768, 220, 706, 163, 649, 117, 603, 79, 565, 51, 537, 75, 561)(56, 542, 85, 571, 125, 611, 173, 659, 230, 716, 294, 780, 363, 849, 423, 909, 467, 953, 446, 932, 394, 880, 328, 814, 261, 747, 200, 686, 147, 633, 104, 590, 70, 556, 86, 572)(65, 551, 100, 586, 93, 579, 127, 613, 87, 573, 126, 612, 174, 660, 231, 717, 295, 781, 364, 850, 424, 910, 441, 927, 385, 871, 317, 803, 251, 737, 191, 677, 140, 626, 97, 583)(76, 562, 112, 598, 157, 643, 213, 699, 274, 760, 343, 829, 407, 893, 454, 940, 447, 933, 395, 881, 329, 815, 262, 748, 201, 687, 148, 634, 106, 592, 151, 637, 108, 594, 113, 599)(81, 567, 121, 607, 102, 588, 133, 619, 91, 577, 132, 618, 181, 667, 239, 725, 304, 790, 371, 857, 431, 917, 461, 947, 415, 901, 352, 838, 283, 769, 221, 707, 164, 650, 118, 604)(99, 585, 144, 630, 137, 623, 183, 669, 134, 620, 182, 668, 240, 726, 305, 791, 372, 858, 432, 918, 472, 958, 477, 963, 443, 929, 386, 872, 319, 805, 252, 738, 192, 678, 141, 627)(114, 600, 158, 644, 214, 700, 276, 762, 344, 830, 409, 895, 456, 942, 482, 968, 463, 949, 416, 902, 353, 839, 284, 770, 222, 708, 165, 651, 120, 606, 168, 654, 155, 641, 159, 645)(128, 614, 175, 661, 232, 718, 297, 783, 365, 851, 426, 912, 469, 955, 486, 972, 479, 965, 448, 934, 396, 882, 330, 816, 263, 749, 202, 688, 150, 636, 205, 691, 172, 658, 176, 662)(143, 629, 196, 682, 189, 675, 245, 731, 186, 672, 234, 720, 177, 663, 233, 719, 298, 784, 366, 852, 427, 913, 470, 956, 478, 964, 444, 930, 388, 874, 320, 806, 253, 739, 193, 679)(160, 646, 215, 701, 277, 763, 346, 832, 410, 896, 458, 944, 483, 969, 476, 962, 449, 935, 397, 883, 331, 817, 264, 750, 204, 690, 267, 753, 207, 693, 269, 755, 212, 698, 216, 702)(167, 653, 226, 712, 198, 684, 259, 745, 208, 694, 242, 728, 184, 670, 241, 727, 306, 792, 373, 859, 433, 919, 473, 959, 485, 971, 464, 950, 417, 903, 354, 840, 285, 771, 223, 709)(195, 681, 257, 743, 250, 736, 313, 799, 247, 733, 308, 794, 243, 729, 307, 793, 374, 860, 434, 920, 474, 960, 453, 939, 481, 967, 457, 943, 445, 931, 389, 875, 321, 807, 254, 740)(217, 703, 278, 764, 347, 833, 412, 898, 459, 945, 442, 928, 475, 961, 438, 924, 465, 951, 418, 904, 355, 841, 286, 772, 225, 711, 289, 775, 272, 758, 340, 826, 275, 761, 279, 765)(235, 721, 299, 785, 367, 853, 429, 915, 471, 957, 462, 948, 484, 970, 460, 946, 480, 966, 450, 936, 398, 884, 332, 818, 266, 752, 334, 820, 293, 779, 362, 848, 296, 782, 300, 786)(256, 742, 324, 810, 318, 804, 382, 868, 315, 801, 378, 864, 311, 797, 368, 854, 301, 787, 357, 843, 420, 906, 404, 890, 451, 937, 408, 894, 455, 941, 411, 897, 390, 876, 322, 808)(280, 766, 323, 809, 391, 877, 387, 873, 440, 926, 384, 870, 437, 923, 380, 866, 436, 922, 377, 863, 333, 819, 399, 885, 336, 822, 401, 887, 342, 828, 406, 892, 345, 831, 348, 834)(288, 774, 358, 844, 326, 812, 392, 878, 350, 836, 402, 888, 337, 823, 376, 862, 309, 795, 375, 861, 435, 921, 422, 908, 466, 952, 425, 911, 468, 954, 428, 914, 419, 905, 356, 842)
	L = (1, 488)(2, 490)(3, 494)(4, 487)(5, 498)(6, 491)(7, 501)(8, 496)(9, 504)(10, 489)(11, 493)(12, 492)(13, 511)(14, 510)(15, 497)(16, 517)(17, 519)(18, 506)(19, 522)(20, 495)(21, 503)(22, 516)(23, 499)(24, 514)(25, 509)(26, 533)(27, 535)(28, 500)(29, 502)(30, 528)(31, 515)(32, 542)(33, 507)(34, 545)(35, 539)(36, 524)(37, 549)(38, 505)(39, 521)(40, 538)(41, 554)(42, 508)(43, 532)(44, 526)(45, 512)(46, 540)(47, 531)(48, 562)(49, 537)(50, 565)(51, 513)(52, 530)(53, 525)(54, 529)(55, 518)(56, 541)(57, 573)(58, 520)(59, 544)(60, 577)(61, 579)(62, 575)(63, 551)(64, 583)(65, 523)(66, 548)(67, 558)(68, 556)(69, 590)(70, 527)(71, 569)(72, 588)(73, 561)(74, 534)(75, 564)(76, 560)(77, 600)(78, 559)(79, 567)(80, 604)(81, 536)(82, 547)(83, 594)(84, 572)(85, 543)(86, 589)(87, 571)(88, 614)(89, 552)(90, 546)(91, 576)(92, 620)(93, 568)(94, 611)(95, 623)(96, 608)(97, 585)(98, 627)(99, 550)(100, 582)(101, 607)(102, 553)(103, 570)(104, 592)(105, 634)(106, 555)(107, 637)(108, 557)(109, 617)(110, 602)(111, 599)(112, 563)(113, 609)(114, 598)(115, 646)(116, 641)(117, 587)(118, 606)(119, 651)(120, 566)(121, 603)(122, 586)(123, 597)(124, 632)(125, 613)(126, 574)(127, 580)(128, 612)(129, 663)(130, 581)(131, 619)(132, 578)(133, 595)(134, 618)(135, 670)(136, 672)(137, 616)(138, 667)(139, 675)(140, 665)(141, 629)(142, 679)(143, 584)(144, 626)(145, 649)(146, 658)(147, 593)(148, 636)(149, 688)(150, 591)(151, 633)(152, 686)(153, 694)(154, 654)(155, 596)(156, 656)(157, 645)(158, 601)(159, 648)(160, 644)(161, 703)(162, 643)(163, 684)(164, 640)(165, 653)(166, 709)(167, 605)(168, 650)(169, 625)(170, 698)(171, 691)(172, 610)(173, 622)(174, 662)(175, 615)(176, 685)(177, 661)(178, 721)(179, 630)(180, 639)(181, 669)(182, 621)(183, 624)(184, 668)(185, 729)(186, 659)(187, 718)(188, 733)(189, 655)(190, 716)(191, 736)(192, 713)(193, 681)(194, 740)(195, 628)(196, 678)(197, 712)(198, 631)(199, 660)(200, 693)(201, 657)(202, 690)(203, 750)(204, 635)(205, 687)(206, 753)(207, 638)(208, 666)(209, 726)(210, 707)(211, 755)(212, 642)(213, 705)(214, 702)(215, 647)(216, 714)(217, 701)(218, 766)(219, 761)(220, 724)(221, 758)(222, 683)(223, 711)(224, 772)(225, 652)(226, 708)(227, 682)(228, 700)(229, 748)(230, 731)(231, 746)(232, 720)(233, 664)(234, 673)(235, 719)(236, 787)(237, 677)(238, 745)(239, 674)(240, 728)(241, 671)(242, 695)(243, 727)(244, 795)(245, 676)(246, 797)(247, 725)(248, 792)(249, 801)(250, 723)(251, 790)(252, 804)(253, 788)(254, 742)(255, 808)(256, 680)(257, 739)(258, 770)(259, 706)(260, 782)(261, 697)(262, 779)(263, 692)(264, 752)(265, 818)(266, 689)(267, 749)(268, 816)(269, 747)(270, 823)(271, 775)(272, 696)(273, 814)(274, 826)(275, 699)(276, 777)(277, 765)(278, 704)(279, 767)(280, 764)(281, 763)(282, 836)(283, 760)(284, 812)(285, 757)(286, 774)(287, 842)(288, 710)(289, 771)(290, 738)(291, 831)(292, 820)(293, 715)(294, 735)(295, 848)(296, 717)(297, 732)(298, 786)(299, 722)(300, 813)(301, 785)(302, 743)(303, 768)(304, 799)(305, 756)(306, 794)(307, 730)(308, 734)(309, 793)(310, 863)(311, 783)(312, 853)(313, 737)(314, 866)(315, 780)(316, 851)(317, 870)(318, 776)(319, 849)(320, 873)(321, 845)(322, 809)(323, 741)(324, 807)(325, 844)(326, 744)(327, 784)(328, 828)(329, 781)(330, 822)(331, 778)(332, 819)(333, 751)(334, 817)(335, 885)(336, 754)(337, 791)(338, 860)(339, 840)(340, 769)(341, 887)(342, 759)(343, 838)(344, 892)(345, 762)(346, 835)(347, 834)(348, 846)(349, 897)(350, 789)(351, 858)(352, 894)(353, 856)(354, 890)(355, 811)(356, 843)(357, 773)(358, 841)(359, 810)(360, 833)(361, 883)(362, 815)(363, 868)(364, 881)(365, 864)(366, 879)(367, 854)(368, 798)(369, 806)(370, 878)(371, 803)(372, 888)(373, 800)(374, 862)(375, 796)(376, 824)(377, 861)(378, 802)(379, 904)(380, 859)(381, 921)(382, 805)(383, 924)(384, 857)(385, 919)(386, 928)(387, 855)(388, 917)(389, 898)(390, 899)(391, 876)(392, 839)(393, 914)(394, 830)(395, 911)(396, 827)(397, 908)(398, 821)(399, 884)(400, 936)(401, 882)(402, 837)(403, 906)(404, 825)(405, 934)(406, 880)(407, 937)(408, 829)(409, 932)(410, 941)(411, 832)(412, 907)(413, 877)(414, 946)(415, 896)(416, 948)(417, 893)(418, 915)(419, 889)(420, 905)(421, 875)(422, 847)(423, 872)(424, 952)(425, 850)(426, 869)(427, 954)(428, 852)(429, 865)(430, 902)(431, 926)(432, 900)(433, 923)(434, 886)(435, 922)(436, 867)(437, 871)(438, 912)(439, 957)(440, 874)(441, 962)(442, 909)(443, 955)(444, 944)(445, 953)(446, 943)(447, 913)(448, 939)(449, 910)(450, 920)(451, 903)(452, 960)(453, 891)(454, 950)(455, 901)(456, 967)(457, 895)(458, 947)(459, 931)(460, 918)(461, 930)(462, 916)(463, 958)(464, 956)(465, 925)(466, 935)(467, 945)(468, 933)(469, 961)(470, 940)(471, 951)(472, 970)(473, 927)(474, 966)(475, 929)(476, 959)(477, 968)(478, 971)(479, 942)(480, 938)(481, 965)(482, 972)(483, 964)(484, 949)(485, 969)(486, 963)
	local type(s) :: { ( 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3 ) }
Outer automorphisms :: reflexible
Dual of E28.3295
Transitivity :: ET+ VT+ AT
Graph::
	v = 27 e = 486 f = 405
	degree seq :: [ 36^27 ]

E28.3300 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 18})
Quotient :: loop
Aut^+ = ((C9 x C9) : C3) : C2 (small group id <486, 36>)
Aut   = $<972, 115>$ (small group id <972, 115>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2)^3, T1^-1 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-1, T1^18, T1^-4 * T2 * T1^3 * T2 * T1^-1 * T2 * T1^3 * T2 * T1^-4 * T2 ]
Map:: polyhedral non-degenerate
	R = (1, 487, 3, 489)(2, 488, 6, 492)(4, 490, 9, 495)(5, 491, 12, 498)(7, 493, 16, 502)(8, 494, 13, 499)(10, 496, 19, 505)(11, 497, 22, 508)(14, 500, 23, 509)(15, 501, 28, 514)(17, 503, 30, 516)(18, 504, 33, 519)(20, 506, 35, 521)(21, 507, 38, 524)(24, 510, 39, 525)(25, 511, 44, 530)(26, 512, 45, 531)(27, 513, 48, 534)(29, 515, 49, 535)(31, 517, 53, 539)(32, 518, 56, 542)(34, 520, 59, 545)(36, 522, 61, 547)(37, 523, 64, 550)(40, 526, 65, 551)(41, 527, 70, 556)(42, 528, 71, 557)(43, 529, 74, 560)(46, 532, 77, 563)(47, 533, 80, 566)(50, 536, 81, 567)(51, 537, 69, 555)(52, 538, 67, 553)(54, 540, 86, 572)(55, 541, 89, 575)(57, 543, 75, 561)(58, 544, 83, 569)(60, 546, 93, 579)(62, 548, 95, 581)(63, 549, 98, 584)(66, 552, 99, 585)(68, 554, 103, 589)(72, 558, 107, 593)(73, 559, 110, 596)(76, 562, 101, 587)(78, 564, 113, 599)(79, 565, 116, 602)(82, 568, 117, 603)(84, 570, 121, 607)(85, 571, 124, 610)(87, 573, 126, 612)(88, 574, 129, 615)(90, 576, 130, 616)(91, 577, 134, 620)(92, 578, 132, 618)(94, 580, 137, 623)(96, 582, 139, 625)(97, 583, 142, 628)(100, 586, 143, 629)(102, 588, 147, 633)(104, 590, 150, 636)(105, 591, 153, 639)(106, 592, 145, 631)(108, 594, 155, 641)(109, 595, 158, 644)(111, 597, 159, 645)(112, 598, 163, 649)(114, 600, 165, 651)(115, 601, 168, 654)(118, 604, 169, 655)(119, 605, 152, 638)(120, 606, 173, 659)(122, 608, 162, 648)(123, 609, 161, 647)(125, 611, 154, 640)(127, 613, 178, 664)(128, 614, 181, 667)(131, 617, 160, 646)(133, 619, 171, 657)(135, 621, 186, 672)(136, 622, 174, 660)(138, 624, 189, 675)(140, 626, 191, 677)(141, 627, 194, 680)(144, 630, 195, 681)(146, 632, 199, 685)(148, 634, 202, 688)(149, 635, 197, 683)(151, 637, 205, 691)(156, 642, 209, 695)(157, 643, 212, 698)(164, 650, 204, 690)(166, 652, 217, 703)(167, 653, 220, 706)(170, 656, 221, 707)(172, 658, 225, 711)(175, 661, 228, 714)(176, 662, 231, 717)(177, 663, 233, 719)(179, 665, 235, 721)(180, 666, 238, 724)(182, 668, 239, 725)(183, 669, 242, 728)(184, 670, 245, 731)(185, 671, 241, 727)(187, 673, 248, 734)(188, 674, 243, 729)(190, 676, 251, 737)(192, 678, 253, 739)(193, 679, 254, 740)(196, 682, 255, 741)(198, 684, 259, 745)(200, 686, 262, 748)(201, 687, 257, 743)(203, 689, 265, 751)(206, 692, 268, 754)(207, 693, 271, 757)(208, 694, 264, 750)(210, 696, 273, 759)(211, 697, 276, 762)(213, 699, 277, 763)(214, 700, 280, 766)(215, 701, 283, 769)(216, 702, 285, 771)(218, 704, 287, 773)(219, 705, 290, 776)(222, 708, 291, 777)(223, 709, 270, 756)(224, 710, 295, 781)(226, 712, 282, 768)(227, 713, 298, 784)(229, 715, 284, 770)(230, 716, 279, 765)(232, 718, 281, 767)(234, 720, 272, 758)(236, 722, 304, 790)(237, 723, 306, 792)(240, 726, 278, 764)(244, 730, 293, 779)(246, 732, 312, 798)(247, 733, 296, 782)(249, 735, 315, 801)(250, 736, 299, 785)(252, 738, 318, 804)(256, 742, 320, 806)(258, 744, 324, 810)(260, 746, 327, 813)(261, 747, 322, 808)(263, 749, 330, 816)(266, 752, 333, 819)(267, 753, 329, 815)(269, 755, 336, 822)(274, 760, 340, 826)(275, 761, 343, 829)(286, 772, 335, 821)(288, 774, 350, 836)(289, 775, 351, 837)(292, 778, 352, 838)(294, 780, 356, 842)(297, 783, 359, 845)(300, 786, 362, 848)(301, 787, 365, 851)(302, 788, 367, 853)(303, 789, 369, 855)(305, 791, 371, 857)(307, 793, 372, 858)(308, 794, 375, 861)(309, 795, 377, 863)(310, 796, 380, 866)(311, 797, 374, 860)(313, 799, 383, 869)(314, 800, 376, 862)(316, 802, 386, 872)(317, 803, 378, 864)(319, 805, 321, 807)(323, 809, 391, 877)(325, 811, 394, 880)(326, 812, 389, 875)(328, 814, 397, 883)(331, 817, 400, 886)(332, 818, 396, 882)(334, 820, 403, 889)(337, 823, 406, 892)(338, 824, 409, 895)(339, 825, 402, 888)(341, 827, 411, 897)(342, 828, 412, 898)(344, 830, 413, 899)(345, 831, 416, 902)(346, 832, 418, 904)(347, 833, 421, 907)(348, 834, 423, 909)(349, 835, 425, 911)(353, 839, 427, 913)(354, 840, 408, 894)(355, 841, 430, 916)(357, 843, 420, 906)(358, 844, 433, 919)(360, 846, 422, 908)(361, 847, 390, 876)(363, 849, 424, 910)(364, 850, 415, 901)(366, 852, 417, 903)(368, 854, 419, 905)(370, 856, 410, 896)(373, 859, 414, 900)(379, 865, 428, 914)(381, 867, 441, 927)(382, 868, 431, 917)(384, 870, 444, 930)(385, 871, 434, 920)(387, 873, 392, 878)(388, 874, 393, 879)(395, 881, 449, 935)(398, 884, 452, 938)(399, 885, 448, 934)(401, 887, 455, 941)(404, 890, 458, 944)(405, 891, 454, 940)(407, 893, 461, 947)(426, 912, 460, 946)(429, 915, 462, 948)(432, 918, 469, 955)(435, 921, 471, 957)(436, 922, 472, 958)(437, 923, 467, 953)(438, 924, 466, 952)(439, 925, 474, 960)(440, 926, 447, 933)(442, 928, 473, 959)(443, 929, 475, 961)(445, 931, 450, 936)(446, 932, 451, 937)(453, 939, 479, 965)(456, 942, 482, 968)(457, 943, 478, 964)(459, 945, 483, 969)(463, 949, 484, 970)(464, 950, 485, 971)(465, 951, 486, 972)(468, 954, 477, 963)(470, 956, 480, 966)(476, 962, 481, 967)
	L = (1, 488)(2, 491)(3, 493)(4, 487)(5, 497)(6, 499)(7, 501)(8, 489)(9, 504)(10, 490)(11, 507)(12, 509)(13, 511)(14, 492)(15, 513)(16, 495)(17, 494)(18, 518)(19, 520)(20, 496)(21, 523)(22, 525)(23, 527)(24, 498)(25, 529)(26, 500)(27, 533)(28, 535)(29, 502)(30, 538)(31, 503)(32, 541)(33, 505)(34, 544)(35, 546)(36, 506)(37, 549)(38, 551)(39, 553)(40, 508)(41, 555)(42, 510)(43, 559)(44, 516)(45, 562)(46, 512)(47, 565)(48, 567)(49, 556)(50, 514)(51, 515)(52, 557)(53, 571)(54, 517)(55, 574)(56, 561)(57, 519)(58, 577)(59, 521)(60, 578)(61, 580)(62, 522)(63, 583)(64, 585)(65, 587)(66, 524)(67, 539)(68, 526)(69, 591)(70, 531)(71, 592)(72, 528)(73, 595)(74, 543)(75, 530)(76, 589)(77, 598)(78, 532)(79, 601)(80, 603)(81, 545)(82, 534)(83, 536)(84, 537)(85, 609)(86, 611)(87, 540)(88, 614)(89, 616)(90, 542)(91, 619)(92, 621)(93, 547)(94, 622)(95, 624)(96, 548)(97, 627)(98, 629)(99, 631)(100, 550)(101, 563)(102, 552)(103, 635)(104, 554)(105, 638)(106, 633)(107, 640)(108, 558)(109, 643)(110, 645)(111, 560)(112, 648)(113, 650)(114, 564)(115, 653)(116, 655)(117, 639)(118, 566)(119, 568)(120, 569)(121, 649)(122, 570)(123, 662)(124, 572)(125, 641)(126, 663)(127, 573)(128, 666)(129, 646)(130, 579)(131, 575)(132, 576)(133, 670)(134, 659)(135, 671)(136, 673)(137, 581)(138, 674)(139, 676)(140, 582)(141, 679)(142, 681)(143, 683)(144, 584)(145, 593)(146, 586)(147, 687)(148, 588)(149, 685)(150, 690)(151, 590)(152, 693)(153, 607)(154, 612)(155, 694)(156, 594)(157, 697)(158, 617)(159, 610)(160, 596)(161, 597)(162, 701)(163, 599)(164, 691)(165, 702)(166, 600)(167, 705)(168, 707)(169, 620)(170, 602)(171, 604)(172, 605)(173, 623)(174, 606)(175, 608)(176, 716)(177, 718)(178, 720)(179, 613)(180, 723)(181, 725)(182, 615)(183, 618)(184, 730)(185, 732)(186, 728)(187, 733)(188, 735)(189, 625)(190, 736)(191, 738)(192, 626)(193, 678)(194, 741)(195, 743)(196, 628)(197, 636)(198, 630)(199, 747)(200, 632)(201, 745)(202, 750)(203, 634)(204, 651)(205, 753)(206, 637)(207, 756)(208, 751)(209, 758)(210, 642)(211, 761)(212, 763)(213, 644)(214, 647)(215, 768)(216, 770)(217, 772)(218, 652)(219, 775)(220, 777)(221, 757)(222, 654)(223, 656)(224, 657)(225, 769)(226, 658)(227, 660)(228, 771)(229, 661)(230, 787)(231, 766)(232, 788)(233, 664)(234, 759)(235, 789)(236, 665)(237, 791)(238, 764)(239, 672)(240, 667)(241, 668)(242, 675)(243, 669)(244, 796)(245, 781)(246, 797)(247, 799)(248, 784)(249, 800)(250, 802)(251, 677)(252, 803)(253, 805)(254, 806)(255, 808)(256, 680)(257, 688)(258, 682)(259, 812)(260, 684)(261, 810)(262, 815)(263, 686)(264, 695)(265, 818)(266, 689)(267, 816)(268, 821)(269, 692)(270, 824)(271, 711)(272, 721)(273, 825)(274, 696)(275, 828)(276, 726)(277, 717)(278, 698)(279, 699)(280, 719)(281, 700)(282, 833)(283, 714)(284, 834)(285, 703)(286, 822)(287, 835)(288, 704)(289, 722)(290, 838)(291, 731)(292, 706)(293, 708)(294, 709)(295, 734)(296, 710)(297, 712)(298, 737)(299, 713)(300, 715)(301, 850)(302, 852)(303, 854)(304, 856)(305, 849)(306, 858)(307, 724)(308, 727)(309, 729)(310, 865)(311, 867)(312, 861)(313, 868)(314, 870)(315, 863)(316, 871)(317, 873)(318, 739)(319, 874)(320, 875)(321, 740)(322, 748)(323, 742)(324, 879)(325, 744)(326, 877)(327, 882)(328, 746)(329, 754)(330, 885)(331, 749)(332, 883)(333, 888)(334, 752)(335, 773)(336, 891)(337, 755)(338, 894)(339, 889)(340, 896)(341, 760)(342, 774)(343, 899)(344, 762)(345, 765)(346, 767)(347, 906)(348, 908)(349, 910)(350, 912)(351, 913)(352, 895)(353, 776)(354, 778)(355, 779)(356, 907)(357, 780)(358, 782)(359, 909)(360, 783)(361, 785)(362, 911)(363, 786)(364, 893)(365, 902)(366, 922)(367, 904)(368, 923)(369, 790)(370, 897)(371, 900)(372, 798)(373, 792)(374, 793)(375, 801)(376, 794)(377, 804)(378, 795)(379, 905)(380, 916)(381, 921)(382, 928)(383, 919)(384, 929)(385, 931)(386, 876)(387, 932)(388, 880)(389, 813)(390, 807)(391, 864)(392, 809)(393, 847)(394, 934)(395, 811)(396, 819)(397, 937)(398, 814)(399, 935)(400, 940)(401, 817)(402, 826)(403, 943)(404, 820)(405, 941)(406, 946)(407, 823)(408, 827)(409, 842)(410, 837)(411, 948)(412, 859)(413, 851)(414, 829)(415, 830)(416, 853)(417, 831)(418, 855)(419, 832)(420, 945)(421, 845)(422, 951)(423, 848)(424, 952)(425, 836)(426, 947)(427, 866)(428, 839)(429, 840)(430, 869)(431, 841)(432, 843)(433, 872)(434, 844)(435, 846)(436, 942)(437, 959)(438, 857)(439, 860)(440, 862)(441, 960)(442, 950)(443, 956)(444, 933)(445, 962)(446, 938)(447, 878)(448, 886)(449, 920)(450, 881)(451, 926)(452, 964)(453, 884)(454, 892)(455, 967)(456, 887)(457, 965)(458, 915)(459, 890)(460, 898)(461, 970)(462, 969)(463, 901)(464, 903)(465, 966)(466, 927)(467, 914)(468, 917)(469, 972)(470, 918)(471, 924)(472, 971)(473, 963)(474, 930)(475, 925)(476, 968)(477, 936)(478, 944)(479, 961)(480, 939)(481, 954)(482, 949)(483, 955)(484, 958)(485, 953)(486, 957)
	local type(s) :: { ( 3, 18, 3, 18 ) }
Outer automorphisms :: reflexible
Dual of E28.3296
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 243 e = 486 f = 189
	degree seq :: [ 4^243 ]

E28.3301 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 18})
Quotient :: dipole
Aut^+ = ((C9 x C9) : C3) : C2 (small group id <486, 36>)
Aut   = $<972, 115>$ (small group id <972, 115>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, Y2^3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y2^-1 * Y1 * Y2)^3, (Y3 * Y2^-1)^18 ]
Map::
	R = (1, 487, 2, 488)(3, 489, 7, 493)(4, 490, 8, 494)(5, 491, 9, 495)(6, 492, 10, 496)(11, 497, 19, 505)(12, 498, 20, 506)(13, 499, 21, 507)(14, 500, 22, 508)(15, 501, 23, 509)(16, 502, 24, 510)(17, 503, 25, 511)(18, 504, 26, 512)(27, 513, 43, 529)(28, 514, 44, 530)(29, 515, 37, 523)(30, 516, 45, 531)(31, 517, 46, 532)(32, 518, 40, 526)(33, 519, 47, 533)(34, 520, 48, 534)(35, 521, 49, 535)(36, 522, 50, 536)(38, 524, 51, 537)(39, 525, 52, 538)(41, 527, 53, 539)(42, 528, 54, 540)(55, 541, 73, 559)(56, 542, 74, 560)(57, 543, 75, 561)(58, 544, 76, 562)(59, 545, 77, 563)(60, 546, 78, 564)(61, 547, 79, 565)(62, 548, 80, 566)(63, 549, 81, 567)(64, 550, 82, 568)(65, 551, 83, 569)(66, 552, 84, 570)(67, 553, 85, 571)(68, 554, 86, 572)(69, 555, 87, 573)(70, 556, 88, 574)(71, 557, 89, 575)(72, 558, 90, 576)(91, 577, 115, 601)(92, 578, 116, 602)(93, 579, 117, 603)(94, 580, 118, 604)(95, 581, 119, 605)(96, 582, 108, 594)(97, 583, 120, 606)(98, 584, 121, 607)(99, 585, 111, 597)(100, 586, 122, 608)(101, 587, 123, 609)(102, 588, 124, 610)(103, 589, 184, 670)(104, 590, 185, 671)(105, 591, 187, 673)(106, 592, 188, 674)(107, 593, 190, 676)(109, 595, 192, 678)(110, 596, 193, 679)(112, 598, 195, 681)(113, 599, 196, 682)(114, 600, 198, 684)(125, 611, 211, 697)(126, 612, 212, 698)(127, 613, 213, 699)(128, 614, 216, 702)(129, 615, 219, 705)(130, 616, 222, 708)(131, 617, 225, 711)(132, 618, 228, 714)(133, 619, 231, 717)(134, 620, 234, 720)(135, 621, 237, 723)(136, 622, 240, 726)(137, 623, 243, 729)(138, 624, 246, 732)(139, 625, 249, 735)(140, 626, 251, 737)(141, 627, 245, 731)(142, 628, 253, 739)(143, 629, 255, 741)(144, 630, 233, 719)(145, 631, 257, 743)(146, 632, 260, 746)(147, 633, 263, 749)(148, 634, 266, 752)(149, 635, 269, 755)(150, 636, 271, 757)(151, 637, 274, 760)(152, 638, 277, 763)(153, 639, 280, 766)(154, 640, 283, 769)(155, 641, 286, 772)(156, 642, 288, 774)(157, 643, 221, 707)(158, 644, 227, 713)(159, 645, 215, 701)(160, 646, 239, 725)(161, 647, 297, 783)(162, 648, 300, 786)(163, 649, 303, 789)(164, 650, 306, 792)(165, 651, 308, 794)(166, 652, 311, 797)(167, 653, 314, 800)(168, 654, 317, 803)(169, 655, 319, 805)(170, 656, 322, 808)(171, 657, 325, 811)(172, 658, 328, 814)(173, 659, 331, 817)(174, 660, 333, 819)(175, 661, 336, 822)(176, 662, 338, 824)(177, 663, 313, 799)(178, 664, 342, 828)(179, 665, 326, 812)(180, 666, 218, 704)(181, 667, 259, 745)(182, 668, 348, 834)(183, 669, 268, 754)(186, 672, 301, 787)(189, 675, 224, 710)(191, 677, 276, 762)(194, 680, 365, 851)(197, 683, 285, 771)(199, 685, 354, 840)(200, 686, 372, 858)(201, 687, 373, 859)(202, 688, 360, 846)(203, 689, 377, 863)(204, 690, 242, 728)(205, 691, 381, 867)(206, 692, 384, 870)(207, 693, 387, 873)(208, 694, 299, 785)(209, 695, 262, 748)(210, 696, 392, 878)(214, 700, 250, 736)(217, 703, 252, 738)(220, 706, 254, 740)(223, 709, 256, 742)(226, 712, 270, 756)(229, 715, 291, 777)(230, 716, 294, 780)(232, 718, 244, 730)(235, 721, 292, 778)(236, 722, 346, 832)(238, 724, 287, 773)(241, 727, 293, 779)(247, 733, 295, 781)(248, 734, 358, 844)(258, 744, 307, 793)(261, 747, 345, 831)(264, 750, 347, 833)(265, 751, 428, 914)(267, 753, 318, 804)(272, 758, 349, 835)(273, 759, 442, 928)(275, 761, 332, 818)(278, 764, 357, 843)(279, 765, 296, 782)(281, 767, 361, 847)(282, 768, 380, 866)(284, 770, 341, 827)(289, 775, 368, 854)(290, 776, 451, 937)(298, 784, 376, 862)(302, 788, 327, 813)(304, 790, 390, 876)(305, 791, 391, 877)(309, 795, 416, 902)(310, 796, 461, 947)(312, 798, 337, 823)(315, 801, 438, 924)(316, 802, 350, 836)(320, 806, 423, 909)(321, 807, 468, 954)(323, 809, 471, 957)(324, 810, 367, 853)(329, 815, 427, 913)(330, 816, 435, 921)(334, 820, 429, 915)(335, 821, 472, 958)(339, 825, 440, 926)(340, 826, 369, 855)(343, 829, 436, 922)(344, 830, 477, 963)(351, 837, 413, 899)(352, 838, 414, 900)(353, 839, 415, 901)(355, 841, 460, 946)(356, 842, 425, 911)(359, 845, 426, 912)(362, 848, 452, 938)(363, 849, 406, 892)(364, 850, 450, 936)(366, 852, 462, 948)(370, 856, 481, 967)(371, 857, 431, 917)(374, 860, 441, 927)(375, 861, 445, 931)(378, 864, 432, 918)(379, 865, 482, 968)(382, 868, 446, 932)(383, 869, 474, 960)(385, 871, 475, 961)(386, 872, 444, 930)(388, 874, 447, 933)(389, 875, 448, 934)(393, 879, 433, 919)(394, 880, 470, 956)(395, 881, 421, 907)(396, 882, 467, 953)(397, 883, 476, 962)(398, 884, 473, 959)(399, 885, 422, 908)(400, 886, 410, 896)(401, 887, 478, 964)(402, 888, 407, 893)(403, 889, 418, 904)(404, 890, 463, 949)(405, 891, 434, 920)(408, 894, 454, 940)(409, 895, 469, 955)(411, 897, 430, 916)(412, 898, 456, 942)(417, 903, 458, 944)(419, 905, 443, 929)(420, 906, 437, 923)(424, 910, 465, 951)(439, 925, 453, 939)(449, 935, 457, 943)(455, 941, 459, 945)(464, 950, 466, 952)(479, 965, 483, 969)(480, 966, 484, 970)(485, 971, 486, 972)(973, 1459, 975, 1461, 976, 1462)(974, 1460, 977, 1463, 978, 1464)(979, 1465, 983, 1469, 984, 1470)(980, 1466, 985, 1471, 986, 1472)(981, 1467, 987, 1473, 988, 1474)(982, 1468, 989, 1475, 990, 1476)(991, 1477, 999, 1485, 1000, 1486)(992, 1478, 1001, 1487, 1002, 1488)(993, 1479, 1003, 1489, 1004, 1490)(994, 1480, 1005, 1491, 1006, 1492)(995, 1481, 1007, 1493, 1008, 1494)(996, 1482, 1009, 1495, 1010, 1496)(997, 1483, 1011, 1497, 1012, 1498)(998, 1484, 1013, 1499, 1014, 1500)(1015, 1501, 1027, 1513, 1028, 1514)(1016, 1502, 1019, 1505, 1029, 1515)(1017, 1503, 1030, 1516, 1031, 1517)(1018, 1504, 1032, 1518, 1033, 1519)(1020, 1506, 1034, 1520, 1035, 1521)(1021, 1507, 1036, 1522, 1037, 1523)(1022, 1508, 1025, 1511, 1038, 1524)(1023, 1509, 1039, 1525, 1040, 1526)(1024, 1510, 1041, 1527, 1042, 1528)(1026, 1512, 1043, 1529, 1044, 1530)(1045, 1531, 1063, 1549, 1064, 1550)(1046, 1532, 1048, 1534, 1065, 1551)(1047, 1533, 1066, 1552, 1067, 1553)(1049, 1535, 1068, 1554, 1069, 1555)(1050, 1536, 1070, 1556, 1071, 1557)(1051, 1537, 1052, 1538, 1072, 1558)(1053, 1539, 1073, 1559, 1074, 1560)(1054, 1540, 1075, 1561, 1076, 1562)(1055, 1541, 1057, 1543, 1077, 1563)(1056, 1542, 1078, 1564, 1079, 1565)(1058, 1544, 1080, 1566, 1081, 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1632, 1306, 1792, 1307, 1793)(1147, 1633, 1309, 1795, 1289, 1775)(1148, 1634, 1311, 1797, 1312, 1798)(1149, 1635, 1313, 1799, 1203, 1689)(1150, 1636, 1315, 1801, 1316, 1802)(1153, 1639, 1319, 1805, 1185, 1671)(1155, 1641, 1321, 1807, 1188, 1674)(1158, 1644, 1164, 1650, 1266, 1752)(1161, 1647, 1329, 1815, 1167, 1653)(1163, 1649, 1333, 1819, 1191, 1677)(1166, 1652, 1170, 1656, 1268, 1754)(1169, 1655, 1340, 1826, 1194, 1680)(1171, 1657, 1342, 1828, 1343, 1829)(1172, 1658, 1320, 1806, 1322, 1808)(1173, 1659, 1346, 1832, 1347, 1833)(1174, 1660, 1348, 1834, 1278, 1764)(1175, 1661, 1350, 1836, 1351, 1837)(1177, 1663, 1354, 1840, 1355, 1841)(1178, 1664, 1357, 1843, 1358, 1844)(1179, 1665, 1360, 1846, 1361, 1847)(1180, 1666, 1362, 1848, 1197, 1683)(1182, 1668, 1365, 1851, 1366, 1852)(1200, 1686, 1352, 1838, 1388, 1874)(1206, 1692, 1363, 1849, 1395, 1881)(1209, 1695, 1339, 1825, 1399, 1885)(1212, 1698, 1400, 1886, 1401, 1887)(1218, 1704, 1407, 1893, 1408, 1894)(1223, 1709, 1318, 1804, 1410, 1896)(1227, 1713, 1330, 1816, 1412, 1898)(1229, 1715, 1403, 1889, 1413, 1899)(1232, 1718, 1414, 1900, 1404, 1890)(1235, 1721, 1417, 1903, 1418, 1904)(1238, 1724, 1416, 1902, 1419, 1905)(1243, 1729, 1420, 1906, 1405, 1891)(1246, 1732, 1391, 1877, 1421, 1907)(1249, 1735, 1423, 1909, 1392, 1878)(1252, 1738, 1425, 1911, 1426, 1912)(1255, 1741, 1424, 1910, 1428, 1914)(1260, 1746, 1430, 1916, 1393, 1879)(1269, 1755, 1398, 1884, 1431, 1917)(1272, 1758, 1433, 1919, 1377, 1863)(1275, 1761, 1434, 1920, 1435, 1921)(1280, 1766, 1437, 1923, 1378, 1864)(1283, 1769, 1383, 1869, 1438, 1924)(1286, 1772, 1440, 1926, 1385, 1871)(1291, 1777, 1441, 1927, 1386, 1872)(1294, 1780, 1349, 1835, 1442, 1928)(1297, 1783, 1444, 1930, 1371, 1857)(1300, 1786, 1364, 1850, 1445, 1931)(1303, 1789, 1328, 1814, 1443, 1929)(1305, 1791, 1446, 1932, 1356, 1842)(1308, 1794, 1375, 1861, 1447, 1933)(1310, 1796, 1449, 1935, 1326, 1812)(1314, 1800, 1450, 1936, 1345, 1831)(1323, 1809, 1451, 1937, 1415, 1901)(1324, 1810, 1429, 1915, 1411, 1897)(1325, 1811, 1337, 1823, 1341, 1827)(1327, 1813, 1380, 1866, 1396, 1882)(1331, 1817, 1409, 1895, 1452, 1938)(1332, 1818, 1372, 1858, 1453, 1939)(1334, 1820, 1335, 1821, 1436, 1922)(1336, 1822, 1384, 1870, 1389, 1875)(1338, 1824, 1367, 1853, 1427, 1913)(1344, 1830, 1454, 1940, 1374, 1860)(1353, 1839, 1448, 1934, 1359, 1845)(1368, 1854, 1376, 1862, 1381, 1867)(1369, 1855, 1370, 1856, 1373, 1859)(1379, 1865, 1455, 1941, 1397, 1883)(1382, 1868, 1387, 1873, 1456, 1942)(1390, 1876, 1394, 1880, 1457, 1943)(1402, 1888, 1406, 1892, 1458, 1944)(1422, 1908, 1432, 1918, 1439, 1925)
	L = (1, 974)(2, 973)(3, 979)(4, 980)(5, 981)(6, 982)(7, 975)(8, 976)(9, 977)(10, 978)(11, 991)(12, 992)(13, 993)(14, 994)(15, 995)(16, 996)(17, 997)(18, 998)(19, 983)(20, 984)(21, 985)(22, 986)(23, 987)(24, 988)(25, 989)(26, 990)(27, 1015)(28, 1016)(29, 1009)(30, 1017)(31, 1018)(32, 1012)(33, 1019)(34, 1020)(35, 1021)(36, 1022)(37, 1001)(38, 1023)(39, 1024)(40, 1004)(41, 1025)(42, 1026)(43, 999)(44, 1000)(45, 1002)(46, 1003)(47, 1005)(48, 1006)(49, 1007)(50, 1008)(51, 1010)(52, 1011)(53, 1013)(54, 1014)(55, 1045)(56, 1046)(57, 1047)(58, 1048)(59, 1049)(60, 1050)(61, 1051)(62, 1052)(63, 1053)(64, 1054)(65, 1055)(66, 1056)(67, 1057)(68, 1058)(69, 1059)(70, 1060)(71, 1061)(72, 1062)(73, 1027)(74, 1028)(75, 1029)(76, 1030)(77, 1031)(78, 1032)(79, 1033)(80, 1034)(81, 1035)(82, 1036)(83, 1037)(84, 1038)(85, 1039)(86, 1040)(87, 1041)(88, 1042)(89, 1043)(90, 1044)(91, 1087)(92, 1088)(93, 1089)(94, 1090)(95, 1091)(96, 1080)(97, 1092)(98, 1093)(99, 1083)(100, 1094)(101, 1095)(102, 1096)(103, 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	local type(s) :: { ( 2, 36, 2, 36 ), ( 2, 36, 2, 36, 2, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.3304
Graph:: bipartite
	v = 405 e = 972 f = 513
	degree seq :: [ 4^243, 6^162 ]

E28.3302 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 18})
Quotient :: dipole
Aut^+ = ((C9 x C9) : C3) : C2 (small group id <486, 36>)
Aut   = $<972, 115>$ (small group id <972, 115>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^3, (R * Y3)^2, (Y2^-1 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-2 * Y1^-1, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-2 * Y2^2 * Y1^-1, (Y2^2 * Y1^-1)^3, Y2^18, Y2^3 * Y1^-1 * Y2^-7 * Y1 * Y2^4 * Y1^-1 * Y2^-8 * Y1^-1 ]
Map::
	R = (1, 487, 2, 488, 4, 490)(3, 489, 8, 494, 10, 496)(5, 491, 12, 498, 6, 492)(7, 493, 15, 501, 11, 497)(9, 495, 18, 504, 20, 506)(13, 499, 25, 511, 23, 509)(14, 500, 24, 510, 28, 514)(16, 502, 31, 517, 29, 515)(17, 503, 33, 519, 21, 507)(19, 505, 36, 522, 38, 524)(22, 508, 30, 516, 42, 528)(26, 512, 47, 533, 45, 531)(27, 513, 49, 535, 51, 537)(32, 518, 56, 542, 55, 541)(34, 520, 59, 545, 58, 544)(35, 521, 53, 539, 39, 525)(37, 523, 63, 549, 65, 551)(40, 526, 52, 538, 44, 530)(41, 527, 68, 554, 70, 556)(43, 529, 46, 532, 54, 540)(48, 534, 76, 562, 74, 560)(50, 536, 79, 565, 81, 567)(57, 543, 87, 573, 85, 571)(60, 546, 91, 577, 90, 576)(61, 547, 93, 579, 82, 568)(62, 548, 89, 575, 66, 552)(64, 550, 97, 583, 99, 585)(67, 553, 72, 558, 102, 588)(69, 555, 104, 590, 106, 592)(71, 557, 83, 569, 108, 594)(73, 559, 75, 561, 78, 564)(77, 563, 114, 600, 112, 598)(80, 566, 118, 604, 120, 606)(84, 570, 86, 572, 103, 589)(88, 574, 128, 614, 126, 612)(92, 578, 134, 620, 132, 618)(94, 580, 125, 611, 127, 613)(95, 581, 137, 623, 130, 616)(96, 582, 122, 608, 100, 586)(98, 584, 141, 627, 143, 629)(101, 587, 121, 607, 117, 603)(105, 591, 148, 634, 150, 636)(107, 593, 151, 637, 147, 633)(109, 595, 131, 617, 133, 619)(110, 596, 116, 602, 155, 641)(111, 597, 113, 599, 123, 609)(115, 601, 160, 646, 158, 644)(119, 605, 165, 651, 167, 653)(124, 610, 146, 632, 172, 658)(129, 615, 177, 663, 175, 661)(135, 621, 184, 670, 182, 668)(136, 622, 186, 672, 173, 659)(138, 624, 181, 667, 183, 669)(139, 625, 189, 675, 169, 655)(140, 626, 179, 665, 144, 630)(142, 628, 193, 679, 195, 681)(145, 631, 163, 649, 198, 684)(149, 635, 202, 688, 204, 690)(152, 638, 200, 686, 207, 693)(153, 639, 208, 694, 180, 666)(154, 640, 168, 654, 164, 650)(156, 642, 170, 656, 212, 698)(157, 643, 159, 645, 162, 648)(161, 647, 217, 703, 215, 701)(166, 652, 223, 709, 225, 711)(171, 657, 205, 691, 201, 687)(174, 660, 176, 662, 199, 685)(178, 664, 235, 721, 233, 719)(185, 671, 243, 729, 241, 727)(187, 673, 232, 718, 234, 720)(188, 674, 247, 733, 239, 725)(190, 676, 230, 716, 245, 731)(191, 677, 250, 736, 237, 723)(192, 678, 227, 713, 196, 682)(194, 680, 254, 740, 256, 742)(197, 683, 226, 712, 222, 708)(203, 689, 264, 750, 266, 752)(206, 692, 267, 753, 263, 749)(209, 695, 240, 726, 242, 728)(210, 696, 221, 707, 272, 758)(211, 697, 269, 755, 261, 747)(213, 699, 219, 705, 275, 761)(214, 700, 216, 702, 228, 714)(218, 704, 280, 766, 278, 764)(220, 706, 238, 724, 259, 745)(224, 710, 286, 772, 288, 774)(229, 715, 262, 748, 293, 779)(231, 717, 260, 746, 296, 782)(236, 722, 301, 787, 299, 785)(244, 730, 309, 795, 307, 793)(246, 732, 311, 797, 297, 783)(248, 734, 306, 792, 308, 794)(249, 735, 315, 801, 294, 780)(251, 737, 304, 790, 313, 799)(252, 738, 318, 804, 290, 776)(253, 739, 302, 788, 257, 743)(255, 741, 322, 808, 323, 809)(258, 744, 284, 770, 326, 812)(265, 751, 332, 818, 333, 819)(268, 754, 330, 816, 336, 822)(270, 756, 337, 823, 305, 791)(271, 757, 289, 775, 285, 771)(273, 759, 328, 814, 342, 828)(274, 760, 340, 826, 283, 769)(276, 762, 291, 777, 345, 831)(277, 763, 279, 765, 281, 767)(282, 768, 350, 836, 303, 789)(287, 773, 356, 842, 357, 843)(292, 778, 334, 820, 331, 817)(295, 781, 362, 848, 329, 815)(298, 784, 300, 786, 327, 813)(310, 796, 377, 863, 375, 861)(312, 798, 367, 853, 368, 854)(314, 800, 380, 866, 373, 859)(316, 802, 365, 851, 378, 864)(317, 803, 384, 870, 371, 857)(319, 805, 363, 849, 382, 868)(320, 806, 387, 873, 369, 855)(321, 807, 359, 845, 324, 810)(325, 811, 358, 844, 355, 841)(335, 821, 399, 885, 398, 884)(338, 824, 374, 860, 376, 862)(339, 825, 354, 840, 404, 890)(341, 827, 401, 887, 396, 882)(343, 829, 352, 838, 408, 894)(344, 830, 406, 892, 394, 880)(346, 832, 349, 835, 411, 897)(347, 833, 348, 834, 360, 846)(351, 837, 372, 858, 402, 888)(353, 839, 370, 856, 392, 878)(361, 847, 397, 883, 422, 908)(364, 850, 395, 881, 425, 911)(366, 852, 393, 879, 428, 914)(379, 865, 418, 904, 429, 915)(381, 867, 435, 921, 436, 922)(383, 869, 438, 924, 426, 912)(385, 871, 433, 919, 437, 923)(386, 872, 442, 928, 423, 909)(388, 874, 431, 917, 440, 926)(389, 875, 412, 898, 421, 907)(390, 876, 413, 899, 391, 877)(400, 886, 450, 936, 434, 920)(403, 889, 420, 906, 419, 905)(405, 891, 448, 934, 453, 939)(407, 893, 451, 937, 417, 903)(409, 895, 446, 932, 457, 943)(410, 896, 455, 941, 415, 901)(414, 900, 460, 946, 432, 918)(416, 902, 462, 948, 430, 916)(424, 910, 466, 952, 449, 935)(427, 913, 468, 954, 447, 933)(439, 925, 471, 957, 465, 951)(441, 927, 476, 962, 473, 959)(443, 929, 469, 955, 475, 961)(444, 930, 458, 944, 461, 947)(445, 931, 467, 953, 459, 945)(452, 938, 474, 960, 480, 966)(454, 940, 464, 950, 470, 956)(456, 942, 481, 967, 479, 965)(463, 949, 472, 958, 484, 970)(477, 963, 482, 968, 486, 972)(478, 964, 485, 971, 483, 969)(973, 1459, 975, 1461, 981, 1467, 991, 1477, 1009, 1495, 1036, 1522, 1070, 1556, 1114, 1600, 1166, 1652, 1227, 1713, 1190, 1676, 1133, 1619, 1087, 1573, 1049, 1535, 1020, 1506, 998, 1484, 985, 1471, 977, 1463)(974, 1460, 978, 1464, 986, 1472, 999, 1485, 1022, 1508, 1052, 1538, 1091, 1577, 1138, 1624, 1196, 1682, 1259, 1745, 1208, 1694, 1150, 1636, 1101, 1587, 1060, 1546, 1029, 1515, 1004, 1490, 988, 1474, 979, 1465)(976, 1462, 983, 1469, 994, 1480, 1013, 1499, 1041, 1527, 1077, 1563, 1121, 1607, 1175, 1661, 1237, 1723, 1282, 1768, 1216, 1702, 1157, 1643, 1107, 1593, 1064, 1550, 1032, 1518, 1006, 1492, 989, 1475, 980, 1466)(982, 1468, 993, 1479, 1012, 1498, 1039, 1525, 1073, 1559, 1117, 1603, 1169, 1655, 1230, 1716, 1297, 1783, 1351, 1837, 1284, 1770, 1218, 1704, 1159, 1645, 1108, 1594, 1066, 1552, 1033, 1519, 1007, 1493, 990, 1476)(984, 1470, 995, 1481, 1015, 1501, 1043, 1529, 1079, 1565, 1124, 1610, 1178, 1664, 1240, 1726, 1307, 1793, 1372, 1858, 1310, 1796, 1242, 1728, 1181, 1667, 1125, 1611, 1081, 1567, 1044, 1530, 1016, 1502, 996, 1482)(987, 1473, 1001, 1487, 1025, 1511, 1054, 1540, 1094, 1580, 1141, 1627, 1199, 1685, 1262, 1748, 1331, 1817, 1393, 1879, 1332, 1818, 1263, 1749, 1200, 1686, 1142, 1628, 1095, 1581, 1055, 1541, 1026, 1512, 1002, 1488)(992, 1478, 1011, 1497, 1003, 1489, 1027, 1513, 1056, 1542, 1096, 1582, 1143, 1629, 1201, 1687, 1264, 1750, 1333, 1819, 1353, 1839, 1286, 1772, 1220, 1706, 1160, 1646, 1110, 1596, 1067, 1553, 1034, 1520, 1008, 1494)(997, 1483, 1017, 1503, 1045, 1531, 1082, 1568, 1126, 1612, 1182, 1668, 1243, 1729, 1311, 1797, 1375, 1861, 1365, 1851, 1299, 1785, 1232, 1718, 1171, 1657, 1118, 1604, 1075, 1561, 1040, 1526, 1014, 1500, 1018, 1504)(1000, 1486, 1024, 1510, 1005, 1491, 1030, 1516, 1061, 1547, 1102, 1588, 1151, 1637, 1209, 1695, 1274, 1760, 1341, 1827, 1385, 1871, 1321, 1807, 1253, 1739, 1191, 1677, 1134, 1620, 1088, 1574, 1050, 1536, 1021, 1507)(1010, 1496, 1038, 1524, 1031, 1517, 1062, 1548, 1103, 1589, 1152, 1638, 1210, 1696, 1275, 1761, 1342, 1828, 1402, 1888, 1411, 1897, 1355, 1841, 1288, 1774, 1221, 1707, 1162, 1648, 1111, 1597, 1068, 1554, 1035, 1521)(1019, 1505, 1046, 1532, 1083, 1569, 1128, 1614, 1183, 1669, 1245, 1731, 1313, 1799, 1377, 1863, 1424, 1910, 1386, 1872, 1323, 1809, 1254, 1740, 1192, 1678, 1135, 1621, 1089, 1575, 1051, 1537, 1023, 1509, 1047, 1533)(1028, 1514, 1057, 1543, 1097, 1583, 1145, 1631, 1202, 1688, 1266, 1752, 1335, 1821, 1395, 1881, 1439, 1925, 1418, 1904, 1366, 1852, 1300, 1786, 1233, 1719, 1172, 1658, 1119, 1605, 1076, 1562, 1042, 1528, 1058, 1544)(1037, 1523, 1072, 1558, 1065, 1551, 1099, 1585, 1059, 1545, 1098, 1584, 1146, 1632, 1203, 1689, 1267, 1753, 1336, 1822, 1396, 1882, 1413, 1899, 1357, 1843, 1289, 1775, 1223, 1709, 1163, 1649, 1112, 1598, 1069, 1555)(1048, 1534, 1084, 1570, 1129, 1615, 1185, 1671, 1246, 1732, 1315, 1801, 1379, 1865, 1426, 1912, 1419, 1905, 1367, 1853, 1301, 1787, 1234, 1720, 1173, 1659, 1120, 1606, 1078, 1564, 1123, 1609, 1080, 1566, 1085, 1571)(1053, 1539, 1093, 1579, 1074, 1560, 1105, 1591, 1063, 1549, 1104, 1590, 1153, 1639, 1211, 1697, 1276, 1762, 1343, 1829, 1403, 1889, 1433, 1919, 1387, 1873, 1324, 1810, 1255, 1741, 1193, 1679, 1136, 1622, 1090, 1576)(1071, 1557, 1116, 1602, 1109, 1595, 1155, 1641, 1106, 1592, 1154, 1640, 1212, 1698, 1277, 1763, 1344, 1830, 1404, 1890, 1444, 1930, 1449, 1935, 1415, 1901, 1358, 1844, 1291, 1777, 1224, 1710, 1164, 1650, 1113, 1599)(1086, 1572, 1130, 1616, 1186, 1672, 1248, 1734, 1316, 1802, 1381, 1867, 1428, 1914, 1454, 1940, 1435, 1921, 1388, 1874, 1325, 1811, 1256, 1742, 1194, 1680, 1137, 1623, 1092, 1578, 1140, 1626, 1127, 1613, 1131, 1617)(1100, 1586, 1147, 1633, 1204, 1690, 1269, 1755, 1337, 1823, 1398, 1884, 1441, 1927, 1458, 1944, 1451, 1937, 1420, 1906, 1368, 1854, 1302, 1788, 1235, 1721, 1174, 1660, 1122, 1608, 1177, 1663, 1144, 1630, 1148, 1634)(1115, 1601, 1168, 1654, 1161, 1647, 1217, 1703, 1158, 1644, 1206, 1692, 1149, 1635, 1205, 1691, 1270, 1756, 1338, 1824, 1399, 1885, 1442, 1928, 1450, 1936, 1416, 1902, 1360, 1846, 1292, 1778, 1225, 1711, 1165, 1651)(1132, 1618, 1187, 1673, 1249, 1735, 1318, 1804, 1382, 1868, 1430, 1916, 1455, 1941, 1448, 1934, 1421, 1907, 1369, 1855, 1303, 1789, 1236, 1722, 1176, 1662, 1239, 1725, 1179, 1665, 1241, 1727, 1184, 1670, 1188, 1674)(1139, 1625, 1198, 1684, 1170, 1656, 1231, 1717, 1180, 1666, 1214, 1700, 1156, 1642, 1213, 1699, 1278, 1764, 1345, 1831, 1405, 1891, 1445, 1931, 1457, 1943, 1436, 1922, 1389, 1875, 1326, 1812, 1257, 1743, 1195, 1681)(1167, 1653, 1229, 1715, 1222, 1708, 1285, 1771, 1219, 1705, 1280, 1766, 1215, 1701, 1279, 1765, 1346, 1832, 1406, 1892, 1446, 1932, 1425, 1911, 1453, 1939, 1429, 1915, 1417, 1903, 1361, 1847, 1293, 1779, 1226, 1712)(1189, 1675, 1250, 1736, 1319, 1805, 1384, 1870, 1431, 1917, 1414, 1900, 1447, 1933, 1410, 1896, 1437, 1923, 1390, 1876, 1327, 1813, 1258, 1744, 1197, 1683, 1261, 1747, 1244, 1730, 1312, 1798, 1247, 1733, 1251, 1737)(1207, 1693, 1271, 1757, 1339, 1825, 1401, 1887, 1443, 1929, 1434, 1920, 1456, 1942, 1432, 1918, 1452, 1938, 1422, 1908, 1370, 1856, 1304, 1790, 1238, 1724, 1306, 1792, 1265, 1751, 1334, 1820, 1268, 1754, 1272, 1758)(1228, 1714, 1296, 1782, 1290, 1776, 1354, 1840, 1287, 1773, 1350, 1836, 1283, 1769, 1340, 1826, 1273, 1759, 1329, 1815, 1392, 1878, 1376, 1862, 1423, 1909, 1380, 1866, 1427, 1913, 1383, 1869, 1362, 1848, 1294, 1780)(1252, 1738, 1295, 1781, 1363, 1849, 1359, 1845, 1412, 1898, 1356, 1842, 1409, 1895, 1352, 1838, 1408, 1894, 1349, 1835, 1305, 1791, 1371, 1857, 1308, 1794, 1373, 1859, 1314, 1800, 1378, 1864, 1317, 1803, 1320, 1806)(1260, 1746, 1330, 1816, 1298, 1784, 1364, 1850, 1322, 1808, 1374, 1860, 1309, 1795, 1348, 1834, 1281, 1767, 1347, 1833, 1407, 1893, 1394, 1880, 1438, 1924, 1397, 1883, 1440, 1926, 1400, 1886, 1391, 1877, 1328, 1814)
	L = (1, 975)(2, 978)(3, 981)(4, 983)(5, 973)(6, 986)(7, 974)(8, 976)(9, 991)(10, 993)(11, 994)(12, 995)(13, 977)(14, 999)(15, 1001)(16, 979)(17, 980)(18, 982)(19, 1009)(20, 1011)(21, 1012)(22, 1013)(23, 1015)(24, 984)(25, 1017)(26, 985)(27, 1022)(28, 1024)(29, 1025)(30, 987)(31, 1027)(32, 988)(33, 1030)(34, 989)(35, 990)(36, 992)(37, 1036)(38, 1038)(39, 1003)(40, 1039)(41, 1041)(42, 1018)(43, 1043)(44, 996)(45, 1045)(46, 997)(47, 1046)(48, 998)(49, 1000)(50, 1052)(51, 1047)(52, 1005)(53, 1054)(54, 1002)(55, 1056)(56, 1057)(57, 1004)(58, 1061)(59, 1062)(60, 1006)(61, 1007)(62, 1008)(63, 1010)(64, 1070)(65, 1072)(66, 1031)(67, 1073)(68, 1014)(69, 1077)(70, 1058)(71, 1079)(72, 1016)(73, 1082)(74, 1083)(75, 1019)(76, 1084)(77, 1020)(78, 1021)(79, 1023)(80, 1091)(81, 1093)(82, 1094)(83, 1026)(84, 1096)(85, 1097)(86, 1028)(87, 1098)(88, 1029)(89, 1102)(90, 1103)(91, 1104)(92, 1032)(93, 1099)(94, 1033)(95, 1034)(96, 1035)(97, 1037)(98, 1114)(99, 1116)(100, 1065)(101, 1117)(102, 1105)(103, 1040)(104, 1042)(105, 1121)(106, 1123)(107, 1124)(108, 1085)(109, 1044)(110, 1126)(111, 1128)(112, 1129)(113, 1048)(114, 1130)(115, 1049)(116, 1050)(117, 1051)(118, 1053)(119, 1138)(120, 1140)(121, 1074)(122, 1141)(123, 1055)(124, 1143)(125, 1145)(126, 1146)(127, 1059)(128, 1147)(129, 1060)(130, 1151)(131, 1152)(132, 1153)(133, 1063)(134, 1154)(135, 1064)(136, 1066)(137, 1155)(138, 1067)(139, 1068)(140, 1069)(141, 1071)(142, 1166)(143, 1168)(144, 1109)(145, 1169)(146, 1075)(147, 1076)(148, 1078)(149, 1175)(150, 1177)(151, 1080)(152, 1178)(153, 1081)(154, 1182)(155, 1131)(156, 1183)(157, 1185)(158, 1186)(159, 1086)(160, 1187)(161, 1087)(162, 1088)(163, 1089)(164, 1090)(165, 1092)(166, 1196)(167, 1198)(168, 1127)(169, 1199)(170, 1095)(171, 1201)(172, 1148)(173, 1202)(174, 1203)(175, 1204)(176, 1100)(177, 1205)(178, 1101)(179, 1209)(180, 1210)(181, 1211)(182, 1212)(183, 1106)(184, 1213)(185, 1107)(186, 1206)(187, 1108)(188, 1110)(189, 1217)(190, 1111)(191, 1112)(192, 1113)(193, 1115)(194, 1227)(195, 1229)(196, 1161)(197, 1230)(198, 1231)(199, 1118)(200, 1119)(201, 1120)(202, 1122)(203, 1237)(204, 1239)(205, 1144)(206, 1240)(207, 1241)(208, 1214)(209, 1125)(210, 1243)(211, 1245)(212, 1188)(213, 1246)(214, 1248)(215, 1249)(216, 1132)(217, 1250)(218, 1133)(219, 1134)(220, 1135)(221, 1136)(222, 1137)(223, 1139)(224, 1259)(225, 1261)(226, 1170)(227, 1262)(228, 1142)(229, 1264)(230, 1266)(231, 1267)(232, 1269)(233, 1270)(234, 1149)(235, 1271)(236, 1150)(237, 1274)(238, 1275)(239, 1276)(240, 1277)(241, 1278)(242, 1156)(243, 1279)(244, 1157)(245, 1158)(246, 1159)(247, 1280)(248, 1160)(249, 1162)(250, 1285)(251, 1163)(252, 1164)(253, 1165)(254, 1167)(255, 1190)(256, 1296)(257, 1222)(258, 1297)(259, 1180)(260, 1171)(261, 1172)(262, 1173)(263, 1174)(264, 1176)(265, 1282)(266, 1306)(267, 1179)(268, 1307)(269, 1184)(270, 1181)(271, 1311)(272, 1312)(273, 1313)(274, 1315)(275, 1251)(276, 1316)(277, 1318)(278, 1319)(279, 1189)(280, 1295)(281, 1191)(282, 1192)(283, 1193)(284, 1194)(285, 1195)(286, 1197)(287, 1208)(288, 1330)(289, 1244)(290, 1331)(291, 1200)(292, 1333)(293, 1334)(294, 1335)(295, 1336)(296, 1272)(297, 1337)(298, 1338)(299, 1339)(300, 1207)(301, 1329)(302, 1341)(303, 1342)(304, 1343)(305, 1344)(306, 1345)(307, 1346)(308, 1215)(309, 1347)(310, 1216)(311, 1340)(312, 1218)(313, 1219)(314, 1220)(315, 1350)(316, 1221)(317, 1223)(318, 1354)(319, 1224)(320, 1225)(321, 1226)(322, 1228)(323, 1363)(324, 1290)(325, 1351)(326, 1364)(327, 1232)(328, 1233)(329, 1234)(330, 1235)(331, 1236)(332, 1238)(333, 1371)(334, 1265)(335, 1372)(336, 1373)(337, 1348)(338, 1242)(339, 1375)(340, 1247)(341, 1377)(342, 1378)(343, 1379)(344, 1381)(345, 1320)(346, 1382)(347, 1384)(348, 1252)(349, 1253)(350, 1374)(351, 1254)(352, 1255)(353, 1256)(354, 1257)(355, 1258)(356, 1260)(357, 1392)(358, 1298)(359, 1393)(360, 1263)(361, 1353)(362, 1268)(363, 1395)(364, 1396)(365, 1398)(366, 1399)(367, 1401)(368, 1273)(369, 1385)(370, 1402)(371, 1403)(372, 1404)(373, 1405)(374, 1406)(375, 1407)(376, 1281)(377, 1305)(378, 1283)(379, 1284)(380, 1408)(381, 1286)(382, 1287)(383, 1288)(384, 1409)(385, 1289)(386, 1291)(387, 1412)(388, 1292)(389, 1293)(390, 1294)(391, 1359)(392, 1322)(393, 1299)(394, 1300)(395, 1301)(396, 1302)(397, 1303)(398, 1304)(399, 1308)(400, 1310)(401, 1314)(402, 1309)(403, 1365)(404, 1423)(405, 1424)(406, 1317)(407, 1426)(408, 1427)(409, 1428)(410, 1430)(411, 1362)(412, 1431)(413, 1321)(414, 1323)(415, 1324)(416, 1325)(417, 1326)(418, 1327)(419, 1328)(420, 1376)(421, 1332)(422, 1438)(423, 1439)(424, 1413)(425, 1440)(426, 1441)(427, 1442)(428, 1391)(429, 1443)(430, 1411)(431, 1433)(432, 1444)(433, 1445)(434, 1446)(435, 1394)(436, 1349)(437, 1352)(438, 1437)(439, 1355)(440, 1356)(441, 1357)(442, 1447)(443, 1358)(444, 1360)(445, 1361)(446, 1366)(447, 1367)(448, 1368)(449, 1369)(450, 1370)(451, 1380)(452, 1386)(453, 1453)(454, 1419)(455, 1383)(456, 1454)(457, 1417)(458, 1455)(459, 1414)(460, 1452)(461, 1387)(462, 1456)(463, 1388)(464, 1389)(465, 1390)(466, 1397)(467, 1418)(468, 1400)(469, 1458)(470, 1450)(471, 1434)(472, 1449)(473, 1457)(474, 1425)(475, 1410)(476, 1421)(477, 1415)(478, 1416)(479, 1420)(480, 1422)(481, 1429)(482, 1435)(483, 1448)(484, 1432)(485, 1436)(486, 1451)(487, 1459)(488, 1460)(489, 1461)(490, 1462)(491, 1463)(492, 1464)(493, 1465)(494, 1466)(495, 1467)(496, 1468)(497, 1469)(498, 1470)(499, 1471)(500, 1472)(501, 1473)(502, 1474)(503, 1475)(504, 1476)(505, 1477)(506, 1478)(507, 1479)(508, 1480)(509, 1481)(510, 1482)(511, 1483)(512, 1484)(513, 1485)(514, 1486)(515, 1487)(516, 1488)(517, 1489)(518, 1490)(519, 1491)(520, 1492)(521, 1493)(522, 1494)(523, 1495)(524, 1496)(525, 1497)(526, 1498)(527, 1499)(528, 1500)(529, 1501)(530, 1502)(531, 1503)(532, 1504)(533, 1505)(534, 1506)(535, 1507)(536, 1508)(537, 1509)(538, 1510)(539, 1511)(540, 1512)(541, 1513)(542, 1514)(543, 1515)(544, 1516)(545, 1517)(546, 1518)(547, 1519)(548, 1520)(549, 1521)(550, 1522)(551, 1523)(552, 1524)(553, 1525)(554, 1526)(555, 1527)(556, 1528)(557, 1529)(558, 1530)(559, 1531)(560, 1532)(561, 1533)(562, 1534)(563, 1535)(564, 1536)(565, 1537)(566, 1538)(567, 1539)(568, 1540)(569, 1541)(570, 1542)(571, 1543)(572, 1544)(573, 1545)(574, 1546)(575, 1547)(576, 1548)(577, 1549)(578, 1550)(579, 1551)(580, 1552)(581, 1553)(582, 1554)(583, 1555)(584, 1556)(585, 1557)(586, 1558)(587, 1559)(588, 1560)(589, 1561)(590, 1562)(591, 1563)(592, 1564)(593, 1565)(594, 1566)(595, 1567)(596, 1568)(597, 1569)(598, 1570)(599, 1571)(600, 1572)(601, 1573)(602, 1574)(603, 1575)(604, 1576)(605, 1577)(606, 1578)(607, 1579)(608, 1580)(609, 1581)(610, 1582)(611, 1583)(612, 1584)(613, 1585)(614, 1586)(615, 1587)(616, 1588)(617, 1589)(618, 1590)(619, 1591)(620, 1592)(621, 1593)(622, 1594)(623, 1595)(624, 1596)(625, 1597)(626, 1598)(627, 1599)(628, 1600)(629, 1601)(630, 1602)(631, 1603)(632, 1604)(633, 1605)(634, 1606)(635, 1607)(636, 1608)(637, 1609)(638, 1610)(639, 1611)(640, 1612)(641, 1613)(642, 1614)(643, 1615)(644, 1616)(645, 1617)(646, 1618)(647, 1619)(648, 1620)(649, 1621)(650, 1622)(651, 1623)(652, 1624)(653, 1625)(654, 1626)(655, 1627)(656, 1628)(657, 1629)(658, 1630)(659, 1631)(660, 1632)(661, 1633)(662, 1634)(663, 1635)(664, 1636)(665, 1637)(666, 1638)(667, 1639)(668, 1640)(669, 1641)(670, 1642)(671, 1643)(672, 1644)(673, 1645)(674, 1646)(675, 1647)(676, 1648)(677, 1649)(678, 1650)(679, 1651)(680, 1652)(681, 1653)(682, 1654)(683, 1655)(684, 1656)(685, 1657)(686, 1658)(687, 1659)(688, 1660)(689, 1661)(690, 1662)(691, 1663)(692, 1664)(693, 1665)(694, 1666)(695, 1667)(696, 1668)(697, 1669)(698, 1670)(699, 1671)(700, 1672)(701, 1673)(702, 1674)(703, 1675)(704, 1676)(705, 1677)(706, 1678)(707, 1679)(708, 1680)(709, 1681)(710, 1682)(711, 1683)(712, 1684)(713, 1685)(714, 1686)(715, 1687)(716, 1688)(717, 1689)(718, 1690)(719, 1691)(720, 1692)(721, 1693)(722, 1694)(723, 1695)(724, 1696)(725, 1697)(726, 1698)(727, 1699)(728, 1700)(729, 1701)(730, 1702)(731, 1703)(732, 1704)(733, 1705)(734, 1706)(735, 1707)(736, 1708)(737, 1709)(738, 1710)(739, 1711)(740, 1712)(741, 1713)(742, 1714)(743, 1715)(744, 1716)(745, 1717)(746, 1718)(747, 1719)(748, 1720)(749, 1721)(750, 1722)(751, 1723)(752, 1724)(753, 1725)(754, 1726)(755, 1727)(756, 1728)(757, 1729)(758, 1730)(759, 1731)(760, 1732)(761, 1733)(762, 1734)(763, 1735)(764, 1736)(765, 1737)(766, 1738)(767, 1739)(768, 1740)(769, 1741)(770, 1742)(771, 1743)(772, 1744)(773, 1745)(774, 1746)(775, 1747)(776, 1748)(777, 1749)(778, 1750)(779, 1751)(780, 1752)(781, 1753)(782, 1754)(783, 1755)(784, 1756)(785, 1757)(786, 1758)(787, 1759)(788, 1760)(789, 1761)(790, 1762)(791, 1763)(792, 1764)(793, 1765)(794, 1766)(795, 1767)(796, 1768)(797, 1769)(798, 1770)(799, 1771)(800, 1772)(801, 1773)(802, 1774)(803, 1775)(804, 1776)(805, 1777)(806, 1778)(807, 1779)(808, 1780)(809, 1781)(810, 1782)(811, 1783)(812, 1784)(813, 1785)(814, 1786)(815, 1787)(816, 1788)(817, 1789)(818, 1790)(819, 1791)(820, 1792)(821, 1793)(822, 1794)(823, 1795)(824, 1796)(825, 1797)(826, 1798)(827, 1799)(828, 1800)(829, 1801)(830, 1802)(831, 1803)(832, 1804)(833, 1805)(834, 1806)(835, 1807)(836, 1808)(837, 1809)(838, 1810)(839, 1811)(840, 1812)(841, 1813)(842, 1814)(843, 1815)(844, 1816)(845, 1817)(846, 1818)(847, 1819)(848, 1820)(849, 1821)(850, 1822)(851, 1823)(852, 1824)(853, 1825)(854, 1826)(855, 1827)(856, 1828)(857, 1829)(858, 1830)(859, 1831)(860, 1832)(861, 1833)(862, 1834)(863, 1835)(864, 1836)(865, 1837)(866, 1838)(867, 1839)(868, 1840)(869, 1841)(870, 1842)(871, 1843)(872, 1844)(873, 1845)(874, 1846)(875, 1847)(876, 1848)(877, 1849)(878, 1850)(879, 1851)(880, 1852)(881, 1853)(882, 1854)(883, 1855)(884, 1856)(885, 1857)(886, 1858)(887, 1859)(888, 1860)(889, 1861)(890, 1862)(891, 1863)(892, 1864)(893, 1865)(894, 1866)(895, 1867)(896, 1868)(897, 1869)(898, 1870)(899, 1871)(900, 1872)(901, 1873)(902, 1874)(903, 1875)(904, 1876)(905, 1877)(906, 1878)(907, 1879)(908, 1880)(909, 1881)(910, 1882)(911, 1883)(912, 1884)(913, 1885)(914, 1886)(915, 1887)(916, 1888)(917, 1889)(918, 1890)(919, 1891)(920, 1892)(921, 1893)(922, 1894)(923, 1895)(924, 1896)(925, 1897)(926, 1898)(927, 1899)(928, 1900)(929, 1901)(930, 1902)(931, 1903)(932, 1904)(933, 1905)(934, 1906)(935, 1907)(936, 1908)(937, 1909)(938, 1910)(939, 1911)(940, 1912)(941, 1913)(942, 1914)(943, 1915)(944, 1916)(945, 1917)(946, 1918)(947, 1919)(948, 1920)(949, 1921)(950, 1922)(951, 1923)(952, 1924)(953, 1925)(954, 1926)(955, 1927)(956, 1928)(957, 1929)(958, 1930)(959, 1931)(960, 1932)(961, 1933)(962, 1934)(963, 1935)(964, 1936)(965, 1937)(966, 1938)(967, 1939)(968, 1940)(969, 1941)(970, 1942)(971, 1943)(972, 1944)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.3303
Graph:: bipartite
	v = 189 e = 972 f = 729
	degree seq :: [ 6^162, 36^27 ]

E28.3303 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 18})
Quotient :: dipole
Aut^+ = ((C9 x C9) : C3) : C2 (small group id <486, 36>)
Aut   = $<972, 115>$ (small group id <972, 115>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y3^-1)^3, Y3^-2 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-2 * Y2, Y3^18, Y3^-5 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^5 * Y2 * Y3 * Y2 * Y3^-1 * Y2, Y3^4 * Y2 * Y3^-4 * Y2 * Y3^-4 * Y2 * Y3^4 * Y2, (Y3^-1 * Y1^-1)^18 ]
Map:: polytopal
	R = (1, 487)(2, 488)(3, 489)(4, 490)(5, 491)(6, 492)(7, 493)(8, 494)(9, 495)(10, 496)(11, 497)(12, 498)(13, 499)(14, 500)(15, 501)(16, 502)(17, 503)(18, 504)(19, 505)(20, 506)(21, 507)(22, 508)(23, 509)(24, 510)(25, 511)(26, 512)(27, 513)(28, 514)(29, 515)(30, 516)(31, 517)(32, 518)(33, 519)(34, 520)(35, 521)(36, 522)(37, 523)(38, 524)(39, 525)(40, 526)(41, 527)(42, 528)(43, 529)(44, 530)(45, 531)(46, 532)(47, 533)(48, 534)(49, 535)(50, 536)(51, 537)(52, 538)(53, 539)(54, 540)(55, 541)(56, 542)(57, 543)(58, 544)(59, 545)(60, 546)(61, 547)(62, 548)(63, 549)(64, 550)(65, 551)(66, 552)(67, 553)(68, 554)(69, 555)(70, 556)(71, 557)(72, 558)(73, 559)(74, 560)(75, 561)(76, 562)(77, 563)(78, 564)(79, 565)(80, 566)(81, 567)(82, 568)(83, 569)(84, 570)(85, 571)(86, 572)(87, 573)(88, 574)(89, 575)(90, 576)(91, 577)(92, 578)(93, 579)(94, 580)(95, 581)(96, 582)(97, 583)(98, 584)(99, 585)(100, 586)(101, 587)(102, 588)(103, 589)(104, 590)(105, 591)(106, 592)(107, 593)(108, 594)(109, 595)(110, 596)(111, 597)(112, 598)(113, 599)(114, 600)(115, 601)(116, 602)(117, 603)(118, 604)(119, 605)(120, 606)(121, 607)(122, 608)(123, 609)(124, 610)(125, 611)(126, 612)(127, 613)(128, 614)(129, 615)(130, 616)(131, 617)(132, 618)(133, 619)(134, 620)(135, 621)(136, 622)(137, 623)(138, 624)(139, 625)(140, 626)(141, 627)(142, 628)(143, 629)(144, 630)(145, 631)(146, 632)(147, 633)(148, 634)(149, 635)(150, 636)(151, 637)(152, 638)(153, 639)(154, 640)(155, 641)(156, 642)(157, 643)(158, 644)(159, 645)(160, 646)(161, 647)(162, 648)(163, 649)(164, 650)(165, 651)(166, 652)(167, 653)(168, 654)(169, 655)(170, 656)(171, 657)(172, 658)(173, 659)(174, 660)(175, 661)(176, 662)(177, 663)(178, 664)(179, 665)(180, 666)(181, 667)(182, 668)(183, 669)(184, 670)(185, 671)(186, 672)(187, 673)(188, 674)(189, 675)(190, 676)(191, 677)(192, 678)(193, 679)(194, 680)(195, 681)(196, 682)(197, 683)(198, 684)(199, 685)(200, 686)(201, 687)(202, 688)(203, 689)(204, 690)(205, 691)(206, 692)(207, 693)(208, 694)(209, 695)(210, 696)(211, 697)(212, 698)(213, 699)(214, 700)(215, 701)(216, 702)(217, 703)(218, 704)(219, 705)(220, 706)(221, 707)(222, 708)(223, 709)(224, 710)(225, 711)(226, 712)(227, 713)(228, 714)(229, 715)(230, 716)(231, 717)(232, 718)(233, 719)(234, 720)(235, 721)(236, 722)(237, 723)(238, 724)(239, 725)(240, 726)(241, 727)(242, 728)(243, 729)(244, 730)(245, 731)(246, 732)(247, 733)(248, 734)(249, 735)(250, 736)(251, 737)(252, 738)(253, 739)(254, 740)(255, 741)(256, 742)(257, 743)(258, 744)(259, 745)(260, 746)(261, 747)(262, 748)(263, 749)(264, 750)(265, 751)(266, 752)(267, 753)(268, 754)(269, 755)(270, 756)(271, 757)(272, 758)(273, 759)(274, 760)(275, 761)(276, 762)(277, 763)(278, 764)(279, 765)(280, 766)(281, 767)(282, 768)(283, 769)(284, 770)(285, 771)(286, 772)(287, 773)(288, 774)(289, 775)(290, 776)(291, 777)(292, 778)(293, 779)(294, 780)(295, 781)(296, 782)(297, 783)(298, 784)(299, 785)(300, 786)(301, 787)(302, 788)(303, 789)(304, 790)(305, 791)(306, 792)(307, 793)(308, 794)(309, 795)(310, 796)(311, 797)(312, 798)(313, 799)(314, 800)(315, 801)(316, 802)(317, 803)(318, 804)(319, 805)(320, 806)(321, 807)(322, 808)(323, 809)(324, 810)(325, 811)(326, 812)(327, 813)(328, 814)(329, 815)(330, 816)(331, 817)(332, 818)(333, 819)(334, 820)(335, 821)(336, 822)(337, 823)(338, 824)(339, 825)(340, 826)(341, 827)(342, 828)(343, 829)(344, 830)(345, 831)(346, 832)(347, 833)(348, 834)(349, 835)(350, 836)(351, 837)(352, 838)(353, 839)(354, 840)(355, 841)(356, 842)(357, 843)(358, 844)(359, 845)(360, 846)(361, 847)(362, 848)(363, 849)(364, 850)(365, 851)(366, 852)(367, 853)(368, 854)(369, 855)(370, 856)(371, 857)(372, 858)(373, 859)(374, 860)(375, 861)(376, 862)(377, 863)(378, 864)(379, 865)(380, 866)(381, 867)(382, 868)(383, 869)(384, 870)(385, 871)(386, 872)(387, 873)(388, 874)(389, 875)(390, 876)(391, 877)(392, 878)(393, 879)(394, 880)(395, 881)(396, 882)(397, 883)(398, 884)(399, 885)(400, 886)(401, 887)(402, 888)(403, 889)(404, 890)(405, 891)(406, 892)(407, 893)(408, 894)(409, 895)(410, 896)(411, 897)(412, 898)(413, 899)(414, 900)(415, 901)(416, 902)(417, 903)(418, 904)(419, 905)(420, 906)(421, 907)(422, 908)(423, 909)(424, 910)(425, 911)(426, 912)(427, 913)(428, 914)(429, 915)(430, 916)(431, 917)(432, 918)(433, 919)(434, 920)(435, 921)(436, 922)(437, 923)(438, 924)(439, 925)(440, 926)(441, 927)(442, 928)(443, 929)(444, 930)(445, 931)(446, 932)(447, 933)(448, 934)(449, 935)(450, 936)(451, 937)(452, 938)(453, 939)(454, 940)(455, 941)(456, 942)(457, 943)(458, 944)(459, 945)(460, 946)(461, 947)(462, 948)(463, 949)(464, 950)(465, 951)(466, 952)(467, 953)(468, 954)(469, 955)(470, 956)(471, 957)(472, 958)(473, 959)(474, 960)(475, 961)(476, 962)(477, 963)(478, 964)(479, 965)(480, 966)(481, 967)(482, 968)(483, 969)(484, 970)(485, 971)(486, 972)(973, 1459, 974, 1460)(975, 1461, 979, 1465)(976, 1462, 981, 1467)(977, 1463, 983, 1469)(978, 1464, 985, 1471)(980, 1466, 988, 1474)(982, 1468, 991, 1477)(984, 1470, 994, 1480)(986, 1472, 997, 1483)(987, 1473, 999, 1485)(989, 1475, 1002, 1488)(990, 1476, 1004, 1490)(992, 1478, 1007, 1493)(993, 1479, 1009, 1495)(995, 1481, 1012, 1498)(996, 1482, 1014, 1500)(998, 1484, 1017, 1503)(1000, 1486, 1020, 1506)(1001, 1487, 1022, 1508)(1003, 1489, 1025, 1511)(1005, 1491, 1028, 1514)(1006, 1492, 1030, 1516)(1008, 1494, 1033, 1519)(1010, 1496, 1036, 1522)(1011, 1497, 1038, 1524)(1013, 1499, 1041, 1527)(1015, 1501, 1044, 1530)(1016, 1502, 1046, 1532)(1018, 1504, 1049, 1535)(1019, 1505, 1035, 1521)(1021, 1507, 1052, 1538)(1023, 1509, 1047, 1533)(1024, 1510, 1055, 1541)(1026, 1512, 1058, 1544)(1027, 1513, 1043, 1529)(1029, 1515, 1061, 1547)(1031, 1517, 1039, 1525)(1032, 1518, 1064, 1550)(1034, 1520, 1067, 1553)(1037, 1523, 1070, 1556)(1040, 1526, 1073, 1559)(1042, 1528, 1076, 1562)(1045, 1531, 1079, 1565)(1048, 1534, 1082, 1568)(1050, 1536, 1085, 1571)(1051, 1537, 1087, 1573)(1053, 1539, 1090, 1576)(1054, 1540, 1092, 1578)(1056, 1542, 1088, 1574)(1057, 1543, 1095, 1581)(1059, 1545, 1098, 1584)(1060, 1546, 1100, 1586)(1062, 1548, 1103, 1589)(1063, 1549, 1105, 1591)(1065, 1551, 1101, 1587)(1066, 1552, 1108, 1594)(1068, 1554, 1111, 1597)(1069, 1555, 1113, 1599)(1071, 1557, 1116, 1602)(1072, 1558, 1118, 1604)(1074, 1560, 1114, 1600)(1075, 1561, 1121, 1607)(1077, 1563, 1124, 1610)(1078, 1564, 1126, 1612)(1080, 1566, 1129, 1615)(1081, 1567, 1131, 1617)(1083, 1569, 1127, 1613)(1084, 1570, 1134, 1620)(1086, 1572, 1137, 1623)(1089, 1575, 1115, 1601)(1091, 1577, 1141, 1627)(1093, 1579, 1135, 1621)(1094, 1580, 1144, 1630)(1096, 1582, 1132, 1618)(1097, 1583, 1147, 1633)(1099, 1585, 1150, 1636)(1102, 1588, 1128, 1614)(1104, 1590, 1154, 1640)(1106, 1592, 1122, 1608)(1107, 1593, 1157, 1643)(1109, 1595, 1119, 1605)(1110, 1596, 1160, 1646)(1112, 1598, 1163, 1649)(1117, 1603, 1167, 1653)(1120, 1606, 1170, 1656)(1123, 1609, 1173, 1659)(1125, 1611, 1176, 1662)(1130, 1616, 1180, 1666)(1133, 1619, 1183, 1669)(1136, 1622, 1186, 1672)(1138, 1624, 1189, 1675)(1139, 1625, 1191, 1677)(1140, 1626, 1193, 1679)(1142, 1628, 1196, 1682)(1143, 1629, 1198, 1684)(1145, 1631, 1194, 1680)(1146, 1632, 1201, 1687)(1148, 1634, 1192, 1678)(1149, 1635, 1204, 1690)(1151, 1637, 1207, 1693)(1152, 1638, 1209, 1695)(1153, 1639, 1211, 1697)(1155, 1641, 1214, 1700)(1156, 1642, 1216, 1702)(1158, 1644, 1212, 1698)(1159, 1645, 1219, 1705)(1161, 1647, 1210, 1696)(1162, 1648, 1222, 1708)(1164, 1650, 1225, 1711)(1165, 1651, 1226, 1712)(1166, 1652, 1228, 1714)(1168, 1654, 1231, 1717)(1169, 1655, 1233, 1719)(1171, 1657, 1229, 1715)(1172, 1658, 1236, 1722)(1174, 1660, 1227, 1713)(1175, 1661, 1239, 1725)(1177, 1663, 1242, 1728)(1178, 1664, 1244, 1730)(1179, 1665, 1246, 1732)(1181, 1667, 1249, 1735)(1182, 1668, 1251, 1737)(1184, 1670, 1247, 1733)(1185, 1671, 1254, 1740)(1187, 1673, 1245, 1731)(1188, 1674, 1257, 1743)(1190, 1676, 1260, 1746)(1195, 1681, 1230, 1716)(1197, 1683, 1264, 1750)(1199, 1685, 1258, 1744)(1200, 1686, 1267, 1753)(1202, 1688, 1255, 1741)(1203, 1689, 1270, 1756)(1205, 1691, 1252, 1738)(1206, 1692, 1273, 1759)(1208, 1694, 1276, 1762)(1213, 1699, 1248, 1734)(1215, 1701, 1280, 1766)(1217, 1703, 1240, 1726)(1218, 1704, 1283, 1769)(1220, 1706, 1237, 1723)(1221, 1707, 1286, 1772)(1223, 1709, 1234, 1720)(1224, 1710, 1289, 1775)(1232, 1718, 1295, 1781)(1235, 1721, 1298, 1784)(1238, 1724, 1301, 1787)(1241, 1727, 1304, 1790)(1243, 1729, 1307, 1793)(1250, 1736, 1311, 1797)(1253, 1739, 1314, 1800)(1256, 1742, 1317, 1803)(1259, 1745, 1320, 1806)(1261, 1747, 1323, 1809)(1262, 1748, 1325, 1811)(1263, 1749, 1327, 1813)(1265, 1751, 1330, 1816)(1266, 1752, 1331, 1817)(1268, 1754, 1328, 1814)(1269, 1755, 1334, 1820)(1271, 1757, 1326, 1812)(1272, 1758, 1337, 1823)(1274, 1760, 1324, 1810)(1275, 1761, 1340, 1826)(1277, 1763, 1343, 1829)(1278, 1764, 1345, 1831)(1279, 1765, 1347, 1833)(1281, 1767, 1350, 1836)(1282, 1768, 1351, 1837)(1284, 1770, 1348, 1834)(1285, 1771, 1354, 1840)(1287, 1773, 1346, 1832)(1288, 1774, 1357, 1843)(1290, 1776, 1344, 1830)(1291, 1777, 1342, 1828)(1292, 1778, 1361, 1847)(1293, 1779, 1363, 1849)(1294, 1780, 1365, 1851)(1296, 1782, 1368, 1854)(1297, 1783, 1369, 1855)(1299, 1785, 1366, 1852)(1300, 1786, 1372, 1858)(1302, 1788, 1364, 1850)(1303, 1789, 1375, 1861)(1305, 1791, 1362, 1848)(1306, 1792, 1378, 1864)(1308, 1794, 1381, 1867)(1309, 1795, 1383, 1869)(1310, 1796, 1385, 1871)(1312, 1798, 1388, 1874)(1313, 1799, 1389, 1875)(1315, 1801, 1386, 1872)(1316, 1802, 1392, 1878)(1318, 1804, 1384, 1870)(1319, 1805, 1395, 1881)(1321, 1807, 1382, 1868)(1322, 1808, 1380, 1866)(1329, 1815, 1367, 1853)(1332, 1818, 1398, 1884)(1333, 1819, 1402, 1888)(1335, 1821, 1396, 1882)(1336, 1822, 1404, 1890)(1338, 1824, 1393, 1879)(1339, 1825, 1407, 1893)(1341, 1827, 1390, 1876)(1349, 1835, 1387, 1873)(1352, 1838, 1379, 1865)(1353, 1839, 1413, 1899)(1355, 1841, 1376, 1862)(1356, 1842, 1415, 1901)(1358, 1844, 1373, 1859)(1359, 1845, 1409, 1895)(1360, 1846, 1370, 1856)(1371, 1857, 1422, 1908)(1374, 1860, 1424, 1910)(1377, 1863, 1427, 1913)(1391, 1877, 1433, 1919)(1394, 1880, 1435, 1921)(1397, 1883, 1429, 1915)(1399, 1885, 1439, 1925)(1400, 1886, 1440, 1926)(1401, 1887, 1432, 1918)(1403, 1889, 1428, 1914)(1405, 1891, 1441, 1927)(1406, 1892, 1442, 1928)(1408, 1894, 1423, 1909)(1410, 1896, 1445, 1931)(1411, 1897, 1446, 1932)(1412, 1898, 1421, 1907)(1414, 1900, 1438, 1924)(1416, 1902, 1447, 1933)(1417, 1903, 1444, 1930)(1418, 1904, 1434, 1920)(1419, 1905, 1449, 1935)(1420, 1906, 1450, 1936)(1425, 1911, 1451, 1937)(1426, 1912, 1452, 1938)(1430, 1916, 1455, 1941)(1431, 1917, 1456, 1942)(1436, 1922, 1457, 1943)(1437, 1923, 1454, 1940)(1443, 1929, 1458, 1944)(1448, 1934, 1453, 1939)
	L = (1, 975)(2, 977)(3, 980)(4, 973)(5, 984)(6, 974)(7, 985)(8, 989)(9, 990)(10, 976)(11, 981)(12, 995)(13, 996)(14, 978)(15, 979)(16, 999)(17, 1003)(18, 1005)(19, 1006)(20, 982)(21, 983)(22, 1009)(23, 1013)(24, 1015)(25, 1016)(26, 986)(27, 1019)(28, 987)(29, 988)(30, 1022)(31, 1026)(32, 991)(33, 1029)(34, 1031)(35, 1032)(36, 992)(37, 1035)(38, 993)(39, 994)(40, 1038)(41, 1042)(42, 997)(43, 1045)(44, 1047)(45, 1048)(46, 998)(47, 1036)(48, 1051)(49, 1000)(50, 1046)(51, 1001)(52, 1002)(53, 1055)(54, 1059)(55, 1004)(56, 1043)(57, 1062)(58, 1007)(59, 1063)(60, 1065)(61, 1066)(62, 1008)(63, 1020)(64, 1069)(65, 1010)(66, 1030)(67, 1011)(68, 1012)(69, 1073)(70, 1077)(71, 1014)(72, 1027)(73, 1080)(74, 1017)(75, 1081)(76, 1083)(77, 1084)(78, 1018)(79, 1088)(80, 1089)(81, 1021)(82, 1023)(83, 1087)(84, 1024)(85, 1025)(86, 1095)(87, 1099)(88, 1028)(89, 1100)(90, 1104)(91, 1106)(92, 1033)(93, 1107)(94, 1109)(95, 1110)(96, 1034)(97, 1114)(98, 1115)(99, 1037)(100, 1039)(101, 1113)(102, 1040)(103, 1041)(104, 1121)(105, 1125)(106, 1044)(107, 1126)(108, 1130)(109, 1132)(110, 1049)(111, 1133)(112, 1135)(113, 1136)(114, 1050)(115, 1052)(116, 1139)(117, 1116)(118, 1140)(119, 1053)(120, 1134)(121, 1054)(122, 1056)(123, 1131)(124, 1057)(125, 1058)(126, 1147)(127, 1151)(128, 1064)(129, 1060)(130, 1061)(131, 1128)(132, 1155)(133, 1118)(134, 1156)(135, 1158)(136, 1067)(137, 1159)(138, 1161)(139, 1162)(140, 1068)(141, 1070)(142, 1165)(143, 1090)(144, 1166)(145, 1071)(146, 1108)(147, 1072)(148, 1074)(149, 1105)(150, 1075)(151, 1076)(152, 1173)(153, 1177)(154, 1082)(155, 1078)(156, 1079)(157, 1102)(158, 1181)(159, 1092)(160, 1182)(161, 1184)(162, 1085)(163, 1185)(164, 1187)(165, 1188)(166, 1086)(167, 1192)(168, 1194)(169, 1195)(170, 1091)(171, 1093)(172, 1193)(173, 1094)(174, 1096)(175, 1191)(176, 1097)(177, 1098)(178, 1204)(179, 1208)(180, 1101)(181, 1103)(182, 1211)(183, 1215)(184, 1217)(185, 1209)(186, 1218)(187, 1220)(188, 1111)(189, 1221)(190, 1223)(191, 1224)(192, 1112)(193, 1227)(194, 1229)(195, 1230)(196, 1117)(197, 1119)(198, 1228)(199, 1120)(200, 1122)(201, 1226)(202, 1123)(203, 1124)(204, 1239)(205, 1243)(206, 1127)(207, 1129)(208, 1246)(209, 1250)(210, 1252)(211, 1244)(212, 1253)(213, 1255)(214, 1137)(215, 1256)(216, 1258)(217, 1259)(218, 1138)(219, 1144)(220, 1261)(221, 1141)(222, 1262)(223, 1231)(224, 1263)(225, 1142)(226, 1257)(227, 1143)(228, 1145)(229, 1254)(230, 1146)(231, 1148)(232, 1251)(233, 1149)(234, 1150)(235, 1273)(236, 1164)(237, 1160)(238, 1152)(239, 1157)(240, 1153)(241, 1154)(242, 1248)(243, 1281)(244, 1236)(245, 1282)(246, 1284)(247, 1233)(248, 1285)(249, 1287)(250, 1163)(251, 1288)(252, 1290)(253, 1291)(254, 1170)(255, 1292)(256, 1167)(257, 1293)(258, 1196)(259, 1294)(260, 1168)(261, 1222)(262, 1169)(263, 1171)(264, 1219)(265, 1172)(266, 1174)(267, 1216)(268, 1175)(269, 1176)(270, 1304)(271, 1190)(272, 1186)(273, 1178)(274, 1183)(275, 1179)(276, 1180)(277, 1213)(278, 1312)(279, 1201)(280, 1313)(281, 1315)(282, 1198)(283, 1316)(284, 1318)(285, 1189)(286, 1319)(287, 1321)(288, 1322)(289, 1324)(290, 1326)(291, 1328)(292, 1329)(293, 1197)(294, 1199)(295, 1327)(296, 1200)(297, 1202)(298, 1325)(299, 1203)(300, 1205)(301, 1323)(302, 1206)(303, 1207)(304, 1340)(305, 1210)(306, 1212)(307, 1214)(308, 1347)(309, 1296)(310, 1352)(311, 1345)(312, 1353)(313, 1355)(314, 1343)(315, 1356)(316, 1358)(317, 1225)(318, 1359)(319, 1360)(320, 1362)(321, 1364)(322, 1366)(323, 1367)(324, 1232)(325, 1234)(326, 1365)(327, 1235)(328, 1237)(329, 1363)(330, 1238)(331, 1240)(332, 1361)(333, 1241)(334, 1242)(335, 1378)(336, 1245)(337, 1247)(338, 1249)(339, 1385)(340, 1265)(341, 1390)(342, 1383)(343, 1391)(344, 1393)(345, 1381)(346, 1394)(347, 1396)(348, 1260)(349, 1397)(350, 1398)(351, 1270)(352, 1370)(353, 1267)(354, 1399)(355, 1264)(356, 1400)(357, 1368)(358, 1401)(359, 1380)(360, 1266)(361, 1268)(362, 1395)(363, 1269)(364, 1271)(365, 1392)(366, 1272)(367, 1274)(368, 1389)(369, 1275)(370, 1276)(371, 1289)(372, 1277)(373, 1286)(374, 1278)(375, 1283)(376, 1279)(377, 1280)(378, 1387)(379, 1375)(380, 1382)(381, 1371)(382, 1372)(383, 1414)(384, 1416)(385, 1369)(386, 1417)(387, 1418)(388, 1407)(389, 1301)(390, 1332)(391, 1298)(392, 1419)(393, 1295)(394, 1420)(395, 1330)(396, 1421)(397, 1342)(398, 1297)(399, 1299)(400, 1357)(401, 1300)(402, 1302)(403, 1354)(404, 1303)(405, 1305)(406, 1351)(407, 1306)(408, 1307)(409, 1320)(410, 1308)(411, 1317)(412, 1309)(413, 1314)(414, 1310)(415, 1311)(416, 1349)(417, 1337)(418, 1344)(419, 1333)(420, 1334)(421, 1434)(422, 1436)(423, 1331)(424, 1437)(425, 1438)(426, 1427)(427, 1423)(428, 1441)(429, 1433)(430, 1432)(431, 1335)(432, 1440)(433, 1336)(434, 1338)(435, 1439)(436, 1339)(437, 1341)(438, 1346)(439, 1348)(440, 1350)(441, 1446)(442, 1430)(443, 1445)(444, 1425)(445, 1448)(446, 1442)(447, 1403)(448, 1451)(449, 1413)(450, 1412)(451, 1373)(452, 1450)(453, 1374)(454, 1376)(455, 1449)(456, 1377)(457, 1379)(458, 1384)(459, 1386)(460, 1388)(461, 1456)(462, 1410)(463, 1455)(464, 1405)(465, 1458)(466, 1452)(467, 1404)(468, 1402)(469, 1453)(470, 1454)(471, 1406)(472, 1408)(473, 1409)(474, 1415)(475, 1411)(476, 1457)(477, 1424)(478, 1422)(479, 1443)(480, 1444)(481, 1426)(482, 1428)(483, 1429)(484, 1435)(485, 1431)(486, 1447)(487, 1459)(488, 1460)(489, 1461)(490, 1462)(491, 1463)(492, 1464)(493, 1465)(494, 1466)(495, 1467)(496, 1468)(497, 1469)(498, 1470)(499, 1471)(500, 1472)(501, 1473)(502, 1474)(503, 1475)(504, 1476)(505, 1477)(506, 1478)(507, 1479)(508, 1480)(509, 1481)(510, 1482)(511, 1483)(512, 1484)(513, 1485)(514, 1486)(515, 1487)(516, 1488)(517, 1489)(518, 1490)(519, 1491)(520, 1492)(521, 1493)(522, 1494)(523, 1495)(524, 1496)(525, 1497)(526, 1498)(527, 1499)(528, 1500)(529, 1501)(530, 1502)(531, 1503)(532, 1504)(533, 1505)(534, 1506)(535, 1507)(536, 1508)(537, 1509)(538, 1510)(539, 1511)(540, 1512)(541, 1513)(542, 1514)(543, 1515)(544, 1516)(545, 1517)(546, 1518)(547, 1519)(548, 1520)(549, 1521)(550, 1522)(551, 1523)(552, 1524)(553, 1525)(554, 1526)(555, 1527)(556, 1528)(557, 1529)(558, 1530)(559, 1531)(560, 1532)(561, 1533)(562, 1534)(563, 1535)(564, 1536)(565, 1537)(566, 1538)(567, 1539)(568, 1540)(569, 1541)(570, 1542)(571, 1543)(572, 1544)(573, 1545)(574, 1546)(575, 1547)(576, 1548)(577, 1549)(578, 1550)(579, 1551)(580, 1552)(581, 1553)(582, 1554)(583, 1555)(584, 1556)(585, 1557)(586, 1558)(587, 1559)(588, 1560)(589, 1561)(590, 1562)(591, 1563)(592, 1564)(593, 1565)(594, 1566)(595, 1567)(596, 1568)(597, 1569)(598, 1570)(599, 1571)(600, 1572)(601, 1573)(602, 1574)(603, 1575)(604, 1576)(605, 1577)(606, 1578)(607, 1579)(608, 1580)(609, 1581)(610, 1582)(611, 1583)(612, 1584)(613, 1585)(614, 1586)(615, 1587)(616, 1588)(617, 1589)(618, 1590)(619, 1591)(620, 1592)(621, 1593)(622, 1594)(623, 1595)(624, 1596)(625, 1597)(626, 1598)(627, 1599)(628, 1600)(629, 1601)(630, 1602)(631, 1603)(632, 1604)(633, 1605)(634, 1606)(635, 1607)(636, 1608)(637, 1609)(638, 1610)(639, 1611)(640, 1612)(641, 1613)(642, 1614)(643, 1615)(644, 1616)(645, 1617)(646, 1618)(647, 1619)(648, 1620)(649, 1621)(650, 1622)(651, 1623)(652, 1624)(653, 1625)(654, 1626)(655, 1627)(656, 1628)(657, 1629)(658, 1630)(659, 1631)(660, 1632)(661, 1633)(662, 1634)(663, 1635)(664, 1636)(665, 1637)(666, 1638)(667, 1639)(668, 1640)(669, 1641)(670, 1642)(671, 1643)(672, 1644)(673, 1645)(674, 1646)(675, 1647)(676, 1648)(677, 1649)(678, 1650)(679, 1651)(680, 1652)(681, 1653)(682, 1654)(683, 1655)(684, 1656)(685, 1657)(686, 1658)(687, 1659)(688, 1660)(689, 1661)(690, 1662)(691, 1663)(692, 1664)(693, 1665)(694, 1666)(695, 1667)(696, 1668)(697, 1669)(698, 1670)(699, 1671)(700, 1672)(701, 1673)(702, 1674)(703, 1675)(704, 1676)(705, 1677)(706, 1678)(707, 1679)(708, 1680)(709, 1681)(710, 1682)(711, 1683)(712, 1684)(713, 1685)(714, 1686)(715, 1687)(716, 1688)(717, 1689)(718, 1690)(719, 1691)(720, 1692)(721, 1693)(722, 1694)(723, 1695)(724, 1696)(725, 1697)(726, 1698)(727, 1699)(728, 1700)(729, 1701)(730, 1702)(731, 1703)(732, 1704)(733, 1705)(734, 1706)(735, 1707)(736, 1708)(737, 1709)(738, 1710)(739, 1711)(740, 1712)(741, 1713)(742, 1714)(743, 1715)(744, 1716)(745, 1717)(746, 1718)(747, 1719)(748, 1720)(749, 1721)(750, 1722)(751, 1723)(752, 1724)(753, 1725)(754, 1726)(755, 1727)(756, 1728)(757, 1729)(758, 1730)(759, 1731)(760, 1732)(761, 1733)(762, 1734)(763, 1735)(764, 1736)(765, 1737)(766, 1738)(767, 1739)(768, 1740)(769, 1741)(770, 1742)(771, 1743)(772, 1744)(773, 1745)(774, 1746)(775, 1747)(776, 1748)(777, 1749)(778, 1750)(779, 1751)(780, 1752)(781, 1753)(782, 1754)(783, 1755)(784, 1756)(785, 1757)(786, 1758)(787, 1759)(788, 1760)(789, 1761)(790, 1762)(791, 1763)(792, 1764)(793, 1765)(794, 1766)(795, 1767)(796, 1768)(797, 1769)(798, 1770)(799, 1771)(800, 1772)(801, 1773)(802, 1774)(803, 1775)(804, 1776)(805, 1777)(806, 1778)(807, 1779)(808, 1780)(809, 1781)(810, 1782)(811, 1783)(812, 1784)(813, 1785)(814, 1786)(815, 1787)(816, 1788)(817, 1789)(818, 1790)(819, 1791)(820, 1792)(821, 1793)(822, 1794)(823, 1795)(824, 1796)(825, 1797)(826, 1798)(827, 1799)(828, 1800)(829, 1801)(830, 1802)(831, 1803)(832, 1804)(833, 1805)(834, 1806)(835, 1807)(836, 1808)(837, 1809)(838, 1810)(839, 1811)(840, 1812)(841, 1813)(842, 1814)(843, 1815)(844, 1816)(845, 1817)(846, 1818)(847, 1819)(848, 1820)(849, 1821)(850, 1822)(851, 1823)(852, 1824)(853, 1825)(854, 1826)(855, 1827)(856, 1828)(857, 1829)(858, 1830)(859, 1831)(860, 1832)(861, 1833)(862, 1834)(863, 1835)(864, 1836)(865, 1837)(866, 1838)(867, 1839)(868, 1840)(869, 1841)(870, 1842)(871, 1843)(872, 1844)(873, 1845)(874, 1846)(875, 1847)(876, 1848)(877, 1849)(878, 1850)(879, 1851)(880, 1852)(881, 1853)(882, 1854)(883, 1855)(884, 1856)(885, 1857)(886, 1858)(887, 1859)(888, 1860)(889, 1861)(890, 1862)(891, 1863)(892, 1864)(893, 1865)(894, 1866)(895, 1867)(896, 1868)(897, 1869)(898, 1870)(899, 1871)(900, 1872)(901, 1873)(902, 1874)(903, 1875)(904, 1876)(905, 1877)(906, 1878)(907, 1879)(908, 1880)(909, 1881)(910, 1882)(911, 1883)(912, 1884)(913, 1885)(914, 1886)(915, 1887)(916, 1888)(917, 1889)(918, 1890)(919, 1891)(920, 1892)(921, 1893)(922, 1894)(923, 1895)(924, 1896)(925, 1897)(926, 1898)(927, 1899)(928, 1900)(929, 1901)(930, 1902)(931, 1903)(932, 1904)(933, 1905)(934, 1906)(935, 1907)(936, 1908)(937, 1909)(938, 1910)(939, 1911)(940, 1912)(941, 1913)(942, 1914)(943, 1915)(944, 1916)(945, 1917)(946, 1918)(947, 1919)(948, 1920)(949, 1921)(950, 1922)(951, 1923)(952, 1924)(953, 1925)(954, 1926)(955, 1927)(956, 1928)(957, 1929)(958, 1930)(959, 1931)(960, 1932)(961, 1933)(962, 1934)(963, 1935)(964, 1936)(965, 1937)(966, 1938)(967, 1939)(968, 1940)(969, 1941)(970, 1942)(971, 1943)(972, 1944)
	local type(s) :: { ( 6, 36 ), ( 6, 36, 6, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.3302
Graph:: simple bipartite
	v = 729 e = 972 f = 189
	degree seq :: [ 2^486, 4^243 ]

E28.3304 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 18})
Quotient :: dipole
Aut^+ = ((C9 x C9) : C3) : C2 (small group id <486, 36>)
Aut   = $<972, 115>$ (small group id <972, 115>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (Y1^-1 * Y3)^3, (Y1 * Y3 * Y1^2 * Y3)^2, Y1^-1 * Y3 * Y1^-2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^-1, Y1^18, Y1^-4 * Y3 * Y1^3 * Y3 * Y1^-1 * Y3 * Y1^3 * Y3 * Y1^-4 * Y3 ]
Map:: polytopal
	R = (1, 487, 2, 488, 5, 491, 11, 497, 21, 507, 37, 523, 63, 549, 97, 583, 141, 627, 193, 679, 192, 678, 140, 626, 96, 582, 62, 548, 36, 522, 20, 506, 10, 496, 4, 490)(3, 489, 7, 493, 15, 501, 27, 513, 47, 533, 79, 565, 115, 601, 167, 653, 219, 705, 289, 775, 236, 722, 179, 665, 127, 613, 87, 573, 54, 540, 31, 517, 17, 503, 8, 494)(6, 492, 13, 499, 25, 511, 43, 529, 73, 559, 109, 595, 157, 643, 211, 697, 275, 761, 342, 828, 288, 774, 218, 704, 166, 652, 114, 600, 78, 564, 46, 532, 26, 512, 14, 500)(9, 495, 18, 504, 32, 518, 55, 541, 88, 574, 128, 614, 180, 666, 237, 723, 305, 791, 363, 849, 300, 786, 229, 715, 175, 661, 122, 608, 84, 570, 51, 537, 29, 515, 16, 502)(12, 498, 23, 509, 41, 527, 69, 555, 105, 591, 152, 638, 207, 693, 270, 756, 338, 824, 408, 894, 341, 827, 274, 760, 210, 696, 156, 642, 108, 594, 72, 558, 42, 528, 24, 510)(19, 505, 34, 520, 58, 544, 91, 577, 133, 619, 184, 670, 244, 730, 310, 796, 379, 865, 419, 905, 346, 832, 281, 767, 214, 700, 161, 647, 111, 597, 74, 560, 57, 543, 33, 519)(22, 508, 39, 525, 67, 553, 53, 539, 85, 571, 123, 609, 176, 662, 230, 716, 301, 787, 364, 850, 407, 893, 337, 823, 269, 755, 206, 692, 151, 637, 104, 590, 68, 554, 40, 526)(28, 514, 49, 535, 70, 556, 45, 531, 76, 562, 103, 589, 149, 635, 199, 685, 261, 747, 324, 810, 393, 879, 361, 847, 299, 785, 227, 713, 174, 660, 120, 606, 83, 569, 50, 536)(30, 516, 52, 538, 71, 557, 106, 592, 147, 633, 201, 687, 259, 745, 326, 812, 391, 877, 378, 864, 309, 795, 243, 729, 183, 669, 132, 618, 90, 576, 56, 542, 75, 561, 44, 530)(35, 521, 60, 546, 92, 578, 135, 621, 185, 671, 246, 732, 311, 797, 381, 867, 435, 921, 360, 846, 297, 783, 226, 712, 172, 658, 119, 605, 82, 568, 48, 534, 81, 567, 59, 545)(38, 524, 65, 551, 101, 587, 77, 563, 112, 598, 162, 648, 215, 701, 282, 768, 347, 833, 420, 906, 459, 945, 404, 890, 334, 820, 266, 752, 203, 689, 148, 634, 102, 588, 66, 552)(61, 547, 94, 580, 136, 622, 187, 673, 247, 733, 313, 799, 382, 868, 442, 928, 464, 950, 417, 903, 345, 831, 279, 765, 213, 699, 158, 644, 131, 617, 89, 575, 130, 616, 93, 579)(64, 550, 99, 585, 145, 631, 107, 593, 154, 640, 126, 612, 177, 663, 232, 718, 302, 788, 366, 852, 436, 922, 456, 942, 401, 887, 331, 817, 263, 749, 200, 686, 146, 632, 100, 586)(80, 566, 117, 603, 153, 639, 121, 607, 163, 649, 113, 599, 164, 650, 205, 691, 267, 753, 330, 816, 399, 885, 449, 935, 434, 920, 358, 844, 296, 782, 224, 710, 171, 657, 118, 604)(86, 572, 125, 611, 155, 641, 208, 694, 265, 751, 332, 818, 397, 883, 451, 937, 440, 926, 376, 862, 308, 794, 241, 727, 182, 668, 129, 615, 160, 646, 110, 596, 159, 645, 124, 610)(95, 581, 138, 624, 188, 674, 249, 735, 314, 800, 384, 870, 443, 929, 470, 956, 432, 918, 357, 843, 294, 780, 223, 709, 170, 656, 116, 602, 169, 655, 134, 620, 173, 659, 137, 623)(98, 584, 143, 629, 197, 683, 150, 636, 204, 690, 165, 651, 216, 702, 284, 770, 348, 834, 422, 908, 465, 951, 480, 966, 453, 939, 398, 884, 328, 814, 260, 746, 198, 684, 144, 630)(139, 625, 190, 676, 250, 736, 316, 802, 385, 871, 445, 931, 476, 962, 482, 968, 463, 949, 415, 901, 344, 830, 276, 762, 240, 726, 181, 667, 239, 725, 186, 672, 242, 728, 189, 675)(142, 628, 195, 681, 257, 743, 202, 688, 264, 750, 209, 695, 272, 758, 235, 721, 303, 789, 368, 854, 437, 923, 473, 959, 477, 963, 450, 936, 395, 881, 325, 811, 258, 744, 196, 682)(168, 654, 221, 707, 271, 757, 225, 711, 283, 769, 228, 714, 285, 771, 217, 703, 286, 772, 336, 822, 405, 891, 455, 941, 481, 967, 468, 954, 431, 917, 355, 841, 293, 779, 222, 708)(178, 664, 234, 720, 273, 759, 339, 825, 403, 889, 457, 943, 479, 965, 475, 961, 439, 925, 374, 860, 307, 793, 238, 724, 278, 764, 212, 698, 277, 763, 231, 717, 280, 766, 233, 719)(191, 677, 252, 738, 317, 803, 387, 873, 446, 932, 452, 938, 478, 964, 458, 944, 429, 915, 354, 840, 292, 778, 220, 706, 291, 777, 245, 731, 295, 781, 248, 734, 298, 784, 251, 737)(194, 680, 255, 741, 322, 808, 262, 748, 329, 815, 268, 754, 335, 821, 287, 773, 349, 835, 424, 910, 466, 952, 441, 927, 474, 960, 444, 930, 447, 933, 392, 878, 323, 809, 256, 742)(253, 739, 319, 805, 388, 874, 394, 880, 448, 934, 400, 886, 454, 940, 406, 892, 460, 946, 412, 898, 373, 859, 306, 792, 372, 858, 312, 798, 375, 861, 315, 801, 377, 863, 318, 804)(254, 740, 320, 806, 389, 875, 327, 813, 396, 882, 333, 819, 402, 888, 340, 826, 410, 896, 351, 837, 427, 913, 380, 866, 430, 916, 383, 869, 433, 919, 386, 872, 390, 876, 321, 807)(290, 776, 352, 838, 409, 895, 356, 842, 421, 907, 359, 845, 423, 909, 362, 848, 425, 911, 350, 836, 426, 912, 461, 947, 484, 970, 472, 958, 485, 971, 467, 953, 428, 914, 353, 839)(304, 790, 370, 856, 411, 897, 462, 948, 483, 969, 469, 955, 486, 972, 471, 957, 438, 924, 371, 857, 414, 900, 343, 829, 413, 899, 365, 851, 416, 902, 367, 853, 418, 904, 369, 855)(973, 1459)(974, 1460)(975, 1461)(976, 1462)(977, 1463)(978, 1464)(979, 1465)(980, 1466)(981, 1467)(982, 1468)(983, 1469)(984, 1470)(985, 1471)(986, 1472)(987, 1473)(988, 1474)(989, 1475)(990, 1476)(991, 1477)(992, 1478)(993, 1479)(994, 1480)(995, 1481)(996, 1482)(997, 1483)(998, 1484)(999, 1485)(1000, 1486)(1001, 1487)(1002, 1488)(1003, 1489)(1004, 1490)(1005, 1491)(1006, 1492)(1007, 1493)(1008, 1494)(1009, 1495)(1010, 1496)(1011, 1497)(1012, 1498)(1013, 1499)(1014, 1500)(1015, 1501)(1016, 1502)(1017, 1503)(1018, 1504)(1019, 1505)(1020, 1506)(1021, 1507)(1022, 1508)(1023, 1509)(1024, 1510)(1025, 1511)(1026, 1512)(1027, 1513)(1028, 1514)(1029, 1515)(1030, 1516)(1031, 1517)(1032, 1518)(1033, 1519)(1034, 1520)(1035, 1521)(1036, 1522)(1037, 1523)(1038, 1524)(1039, 1525)(1040, 1526)(1041, 1527)(1042, 1528)(1043, 1529)(1044, 1530)(1045, 1531)(1046, 1532)(1047, 1533)(1048, 1534)(1049, 1535)(1050, 1536)(1051, 1537)(1052, 1538)(1053, 1539)(1054, 1540)(1055, 1541)(1056, 1542)(1057, 1543)(1058, 1544)(1059, 1545)(1060, 1546)(1061, 1547)(1062, 1548)(1063, 1549)(1064, 1550)(1065, 1551)(1066, 1552)(1067, 1553)(1068, 1554)(1069, 1555)(1070, 1556)(1071, 1557)(1072, 1558)(1073, 1559)(1074, 1560)(1075, 1561)(1076, 1562)(1077, 1563)(1078, 1564)(1079, 1565)(1080, 1566)(1081, 1567)(1082, 1568)(1083, 1569)(1084, 1570)(1085, 1571)(1086, 1572)(1087, 1573)(1088, 1574)(1089, 1575)(1090, 1576)(1091, 1577)(1092, 1578)(1093, 1579)(1094, 1580)(1095, 1581)(1096, 1582)(1097, 1583)(1098, 1584)(1099, 1585)(1100, 1586)(1101, 1587)(1102, 1588)(1103, 1589)(1104, 1590)(1105, 1591)(1106, 1592)(1107, 1593)(1108, 1594)(1109, 1595)(1110, 1596)(1111, 1597)(1112, 1598)(1113, 1599)(1114, 1600)(1115, 1601)(1116, 1602)(1117, 1603)(1118, 1604)(1119, 1605)(1120, 1606)(1121, 1607)(1122, 1608)(1123, 1609)(1124, 1610)(1125, 1611)(1126, 1612)(1127, 1613)(1128, 1614)(1129, 1615)(1130, 1616)(1131, 1617)(1132, 1618)(1133, 1619)(1134, 1620)(1135, 1621)(1136, 1622)(1137, 1623)(1138, 1624)(1139, 1625)(1140, 1626)(1141, 1627)(1142, 1628)(1143, 1629)(1144, 1630)(1145, 1631)(1146, 1632)(1147, 1633)(1148, 1634)(1149, 1635)(1150, 1636)(1151, 1637)(1152, 1638)(1153, 1639)(1154, 1640)(1155, 1641)(1156, 1642)(1157, 1643)(1158, 1644)(1159, 1645)(1160, 1646)(1161, 1647)(1162, 1648)(1163, 1649)(1164, 1650)(1165, 1651)(1166, 1652)(1167, 1653)(1168, 1654)(1169, 1655)(1170, 1656)(1171, 1657)(1172, 1658)(1173, 1659)(1174, 1660)(1175, 1661)(1176, 1662)(1177, 1663)(1178, 1664)(1179, 1665)(1180, 1666)(1181, 1667)(1182, 1668)(1183, 1669)(1184, 1670)(1185, 1671)(1186, 1672)(1187, 1673)(1188, 1674)(1189, 1675)(1190, 1676)(1191, 1677)(1192, 1678)(1193, 1679)(1194, 1680)(1195, 1681)(1196, 1682)(1197, 1683)(1198, 1684)(1199, 1685)(1200, 1686)(1201, 1687)(1202, 1688)(1203, 1689)(1204, 1690)(1205, 1691)(1206, 1692)(1207, 1693)(1208, 1694)(1209, 1695)(1210, 1696)(1211, 1697)(1212, 1698)(1213, 1699)(1214, 1700)(1215, 1701)(1216, 1702)(1217, 1703)(1218, 1704)(1219, 1705)(1220, 1706)(1221, 1707)(1222, 1708)(1223, 1709)(1224, 1710)(1225, 1711)(1226, 1712)(1227, 1713)(1228, 1714)(1229, 1715)(1230, 1716)(1231, 1717)(1232, 1718)(1233, 1719)(1234, 1720)(1235, 1721)(1236, 1722)(1237, 1723)(1238, 1724)(1239, 1725)(1240, 1726)(1241, 1727)(1242, 1728)(1243, 1729)(1244, 1730)(1245, 1731)(1246, 1732)(1247, 1733)(1248, 1734)(1249, 1735)(1250, 1736)(1251, 1737)(1252, 1738)(1253, 1739)(1254, 1740)(1255, 1741)(1256, 1742)(1257, 1743)(1258, 1744)(1259, 1745)(1260, 1746)(1261, 1747)(1262, 1748)(1263, 1749)(1264, 1750)(1265, 1751)(1266, 1752)(1267, 1753)(1268, 1754)(1269, 1755)(1270, 1756)(1271, 1757)(1272, 1758)(1273, 1759)(1274, 1760)(1275, 1761)(1276, 1762)(1277, 1763)(1278, 1764)(1279, 1765)(1280, 1766)(1281, 1767)(1282, 1768)(1283, 1769)(1284, 1770)(1285, 1771)(1286, 1772)(1287, 1773)(1288, 1774)(1289, 1775)(1290, 1776)(1291, 1777)(1292, 1778)(1293, 1779)(1294, 1780)(1295, 1781)(1296, 1782)(1297, 1783)(1298, 1784)(1299, 1785)(1300, 1786)(1301, 1787)(1302, 1788)(1303, 1789)(1304, 1790)(1305, 1791)(1306, 1792)(1307, 1793)(1308, 1794)(1309, 1795)(1310, 1796)(1311, 1797)(1312, 1798)(1313, 1799)(1314, 1800)(1315, 1801)(1316, 1802)(1317, 1803)(1318, 1804)(1319, 1805)(1320, 1806)(1321, 1807)(1322, 1808)(1323, 1809)(1324, 1810)(1325, 1811)(1326, 1812)(1327, 1813)(1328, 1814)(1329, 1815)(1330, 1816)(1331, 1817)(1332, 1818)(1333, 1819)(1334, 1820)(1335, 1821)(1336, 1822)(1337, 1823)(1338, 1824)(1339, 1825)(1340, 1826)(1341, 1827)(1342, 1828)(1343, 1829)(1344, 1830)(1345, 1831)(1346, 1832)(1347, 1833)(1348, 1834)(1349, 1835)(1350, 1836)(1351, 1837)(1352, 1838)(1353, 1839)(1354, 1840)(1355, 1841)(1356, 1842)(1357, 1843)(1358, 1844)(1359, 1845)(1360, 1846)(1361, 1847)(1362, 1848)(1363, 1849)(1364, 1850)(1365, 1851)(1366, 1852)(1367, 1853)(1368, 1854)(1369, 1855)(1370, 1856)(1371, 1857)(1372, 1858)(1373, 1859)(1374, 1860)(1375, 1861)(1376, 1862)(1377, 1863)(1378, 1864)(1379, 1865)(1380, 1866)(1381, 1867)(1382, 1868)(1383, 1869)(1384, 1870)(1385, 1871)(1386, 1872)(1387, 1873)(1388, 1874)(1389, 1875)(1390, 1876)(1391, 1877)(1392, 1878)(1393, 1879)(1394, 1880)(1395, 1881)(1396, 1882)(1397, 1883)(1398, 1884)(1399, 1885)(1400, 1886)(1401, 1887)(1402, 1888)(1403, 1889)(1404, 1890)(1405, 1891)(1406, 1892)(1407, 1893)(1408, 1894)(1409, 1895)(1410, 1896)(1411, 1897)(1412, 1898)(1413, 1899)(1414, 1900)(1415, 1901)(1416, 1902)(1417, 1903)(1418, 1904)(1419, 1905)(1420, 1906)(1421, 1907)(1422, 1908)(1423, 1909)(1424, 1910)(1425, 1911)(1426, 1912)(1427, 1913)(1428, 1914)(1429, 1915)(1430, 1916)(1431, 1917)(1432, 1918)(1433, 1919)(1434, 1920)(1435, 1921)(1436, 1922)(1437, 1923)(1438, 1924)(1439, 1925)(1440, 1926)(1441, 1927)(1442, 1928)(1443, 1929)(1444, 1930)(1445, 1931)(1446, 1932)(1447, 1933)(1448, 1934)(1449, 1935)(1450, 1936)(1451, 1937)(1452, 1938)(1453, 1939)(1454, 1940)(1455, 1941)(1456, 1942)(1457, 1943)(1458, 1944)
	L = (1, 975)(2, 978)(3, 973)(4, 981)(5, 984)(6, 974)(7, 988)(8, 985)(9, 976)(10, 991)(11, 994)(12, 977)(13, 980)(14, 995)(15, 1000)(16, 979)(17, 1002)(18, 1005)(19, 982)(20, 1007)(21, 1010)(22, 983)(23, 986)(24, 1011)(25, 1016)(26, 1017)(27, 1020)(28, 987)(29, 1021)(30, 989)(31, 1025)(32, 1028)(33, 990)(34, 1031)(35, 992)(36, 1033)(37, 1036)(38, 993)(39, 996)(40, 1037)(41, 1042)(42, 1043)(43, 1046)(44, 997)(45, 998)(46, 1049)(47, 1052)(48, 999)(49, 1001)(50, 1053)(51, 1041)(52, 1039)(53, 1003)(54, 1058)(55, 1061)(56, 1004)(57, 1047)(58, 1055)(59, 1006)(60, 1065)(61, 1008)(62, 1067)(63, 1070)(64, 1009)(65, 1012)(66, 1071)(67, 1024)(68, 1075)(69, 1023)(70, 1013)(71, 1014)(72, 1079)(73, 1082)(74, 1015)(75, 1029)(76, 1073)(77, 1018)(78, 1085)(79, 1088)(80, 1019)(81, 1022)(82, 1089)(83, 1030)(84, 1093)(85, 1096)(86, 1026)(87, 1098)(88, 1101)(89, 1027)(90, 1102)(91, 1106)(92, 1104)(93, 1032)(94, 1109)(95, 1034)(96, 1111)(97, 1114)(98, 1035)(99, 1038)(100, 1115)(101, 1048)(102, 1119)(103, 1040)(104, 1122)(105, 1125)(106, 1117)(107, 1044)(108, 1127)(109, 1130)(110, 1045)(111, 1131)(112, 1135)(113, 1050)(114, 1137)(115, 1140)(116, 1051)(117, 1054)(118, 1141)(119, 1124)(120, 1145)(121, 1056)(122, 1134)(123, 1133)(124, 1057)(125, 1126)(126, 1059)(127, 1150)(128, 1153)(129, 1060)(130, 1062)(131, 1132)(132, 1064)(133, 1143)(134, 1063)(135, 1158)(136, 1146)(137, 1066)(138, 1161)(139, 1068)(140, 1163)(141, 1166)(142, 1069)(143, 1072)(144, 1167)(145, 1078)(146, 1171)(147, 1074)(148, 1174)(149, 1169)(150, 1076)(151, 1177)(152, 1091)(153, 1077)(154, 1097)(155, 1080)(156, 1181)(157, 1184)(158, 1081)(159, 1083)(160, 1103)(161, 1095)(162, 1094)(163, 1084)(164, 1176)(165, 1086)(166, 1189)(167, 1192)(168, 1087)(169, 1090)(170, 1193)(171, 1105)(172, 1197)(173, 1092)(174, 1108)(175, 1200)(176, 1203)(177, 1205)(178, 1099)(179, 1207)(180, 1210)(181, 1100)(182, 1211)(183, 1214)(184, 1217)(185, 1213)(186, 1107)(187, 1220)(188, 1215)(189, 1110)(190, 1223)(191, 1112)(192, 1225)(193, 1226)(194, 1113)(195, 1116)(196, 1227)(197, 1121)(198, 1231)(199, 1118)(200, 1234)(201, 1229)(202, 1120)(203, 1237)(204, 1136)(205, 1123)(206, 1240)(207, 1243)(208, 1236)(209, 1128)(210, 1245)(211, 1248)(212, 1129)(213, 1249)(214, 1252)(215, 1255)(216, 1257)(217, 1138)(218, 1259)(219, 1262)(220, 1139)(221, 1142)(222, 1263)(223, 1242)(224, 1267)(225, 1144)(226, 1254)(227, 1270)(228, 1147)(229, 1256)(230, 1251)(231, 1148)(232, 1253)(233, 1149)(234, 1244)(235, 1151)(236, 1276)(237, 1278)(238, 1152)(239, 1154)(240, 1250)(241, 1157)(242, 1155)(243, 1160)(244, 1265)(245, 1156)(246, 1284)(247, 1268)(248, 1159)(249, 1287)(250, 1271)(251, 1162)(252, 1290)(253, 1164)(254, 1165)(255, 1168)(256, 1292)(257, 1173)(258, 1296)(259, 1170)(260, 1299)(261, 1294)(262, 1172)(263, 1302)(264, 1180)(265, 1175)(266, 1305)(267, 1301)(268, 1178)(269, 1308)(270, 1195)(271, 1179)(272, 1206)(273, 1182)(274, 1312)(275, 1315)(276, 1183)(277, 1185)(278, 1212)(279, 1202)(280, 1186)(281, 1204)(282, 1198)(283, 1187)(284, 1201)(285, 1188)(286, 1307)(287, 1190)(288, 1322)(289, 1323)(290, 1191)(291, 1194)(292, 1324)(293, 1216)(294, 1328)(295, 1196)(296, 1219)(297, 1331)(298, 1199)(299, 1222)(300, 1334)(301, 1337)(302, 1339)(303, 1341)(304, 1208)(305, 1343)(306, 1209)(307, 1344)(308, 1347)(309, 1349)(310, 1352)(311, 1346)(312, 1218)(313, 1355)(314, 1348)(315, 1221)(316, 1358)(317, 1350)(318, 1224)(319, 1293)(320, 1228)(321, 1291)(322, 1233)(323, 1363)(324, 1230)(325, 1366)(326, 1361)(327, 1232)(328, 1369)(329, 1239)(330, 1235)(331, 1372)(332, 1368)(333, 1238)(334, 1375)(335, 1258)(336, 1241)(337, 1378)(338, 1381)(339, 1374)(340, 1246)(341, 1383)(342, 1384)(343, 1247)(344, 1385)(345, 1388)(346, 1390)(347, 1393)(348, 1395)(349, 1397)(350, 1260)(351, 1261)(352, 1264)(353, 1399)(354, 1380)(355, 1402)(356, 1266)(357, 1392)(358, 1405)(359, 1269)(360, 1394)(361, 1362)(362, 1272)(363, 1396)(364, 1387)(365, 1273)(366, 1389)(367, 1274)(368, 1391)(369, 1275)(370, 1382)(371, 1277)(372, 1279)(373, 1386)(374, 1283)(375, 1280)(376, 1286)(377, 1281)(378, 1289)(379, 1400)(380, 1282)(381, 1413)(382, 1403)(383, 1285)(384, 1416)(385, 1406)(386, 1288)(387, 1364)(388, 1365)(389, 1298)(390, 1333)(391, 1295)(392, 1359)(393, 1360)(394, 1297)(395, 1421)(396, 1304)(397, 1300)(398, 1424)(399, 1420)(400, 1303)(401, 1427)(402, 1311)(403, 1306)(404, 1430)(405, 1426)(406, 1309)(407, 1433)(408, 1326)(409, 1310)(410, 1342)(411, 1313)(412, 1314)(413, 1316)(414, 1345)(415, 1336)(416, 1317)(417, 1338)(418, 1318)(419, 1340)(420, 1329)(421, 1319)(422, 1332)(423, 1320)(424, 1335)(425, 1321)(426, 1432)(427, 1325)(428, 1351)(429, 1434)(430, 1327)(431, 1354)(432, 1441)(433, 1330)(434, 1357)(435, 1443)(436, 1444)(437, 1439)(438, 1438)(439, 1446)(440, 1419)(441, 1353)(442, 1445)(443, 1447)(444, 1356)(445, 1422)(446, 1423)(447, 1412)(448, 1371)(449, 1367)(450, 1417)(451, 1418)(452, 1370)(453, 1451)(454, 1377)(455, 1373)(456, 1454)(457, 1450)(458, 1376)(459, 1455)(460, 1398)(461, 1379)(462, 1401)(463, 1456)(464, 1457)(465, 1458)(466, 1410)(467, 1409)(468, 1449)(469, 1404)(470, 1452)(471, 1407)(472, 1408)(473, 1414)(474, 1411)(475, 1415)(476, 1453)(477, 1440)(478, 1429)(479, 1425)(480, 1442)(481, 1448)(482, 1428)(483, 1431)(484, 1435)(485, 1436)(486, 1437)(487, 1459)(488, 1460)(489, 1461)(490, 1462)(491, 1463)(492, 1464)(493, 1465)(494, 1466)(495, 1467)(496, 1468)(497, 1469)(498, 1470)(499, 1471)(500, 1472)(501, 1473)(502, 1474)(503, 1475)(504, 1476)(505, 1477)(506, 1478)(507, 1479)(508, 1480)(509, 1481)(510, 1482)(511, 1483)(512, 1484)(513, 1485)(514, 1486)(515, 1487)(516, 1488)(517, 1489)(518, 1490)(519, 1491)(520, 1492)(521, 1493)(522, 1494)(523, 1495)(524, 1496)(525, 1497)(526, 1498)(527, 1499)(528, 1500)(529, 1501)(530, 1502)(531, 1503)(532, 1504)(533, 1505)(534, 1506)(535, 1507)(536, 1508)(537, 1509)(538, 1510)(539, 1511)(540, 1512)(541, 1513)(542, 1514)(543, 1515)(544, 1516)(545, 1517)(546, 1518)(547, 1519)(548, 1520)(549, 1521)(550, 1522)(551, 1523)(552, 1524)(553, 1525)(554, 1526)(555, 1527)(556, 1528)(557, 1529)(558, 1530)(559, 1531)(560, 1532)(561, 1533)(562, 1534)(563, 1535)(564, 1536)(565, 1537)(566, 1538)(567, 1539)(568, 1540)(569, 1541)(570, 1542)(571, 1543)(572, 1544)(573, 1545)(574, 1546)(575, 1547)(576, 1548)(577, 1549)(578, 1550)(579, 1551)(580, 1552)(581, 1553)(582, 1554)(583, 1555)(584, 1556)(585, 1557)(586, 1558)(587, 1559)(588, 1560)(589, 1561)(590, 1562)(591, 1563)(592, 1564)(593, 1565)(594, 1566)(595, 1567)(596, 1568)(597, 1569)(598, 1570)(599, 1571)(600, 1572)(601, 1573)(602, 1574)(603, 1575)(604, 1576)(605, 1577)(606, 1578)(607, 1579)(608, 1580)(609, 1581)(610, 1582)(611, 1583)(612, 1584)(613, 1585)(614, 1586)(615, 1587)(616, 1588)(617, 1589)(618, 1590)(619, 1591)(620, 1592)(621, 1593)(622, 1594)(623, 1595)(624, 1596)(625, 1597)(626, 1598)(627, 1599)(628, 1600)(629, 1601)(630, 1602)(631, 1603)(632, 1604)(633, 1605)(634, 1606)(635, 1607)(636, 1608)(637, 1609)(638, 1610)(639, 1611)(640, 1612)(641, 1613)(642, 1614)(643, 1615)(644, 1616)(645, 1617)(646, 1618)(647, 1619)(648, 1620)(649, 1621)(650, 1622)(651, 1623)(652, 1624)(653, 1625)(654, 1626)(655, 1627)(656, 1628)(657, 1629)(658, 1630)(659, 1631)(660, 1632)(661, 1633)(662, 1634)(663, 1635)(664, 1636)(665, 1637)(666, 1638)(667, 1639)(668, 1640)(669, 1641)(670, 1642)(671, 1643)(672, 1644)(673, 1645)(674, 1646)(675, 1647)(676, 1648)(677, 1649)(678, 1650)(679, 1651)(680, 1652)(681, 1653)(682, 1654)(683, 1655)(684, 1656)(685, 1657)(686, 1658)(687, 1659)(688, 1660)(689, 1661)(690, 1662)(691, 1663)(692, 1664)(693, 1665)(694, 1666)(695, 1667)(696, 1668)(697, 1669)(698, 1670)(699, 1671)(700, 1672)(701, 1673)(702, 1674)(703, 1675)(704, 1676)(705, 1677)(706, 1678)(707, 1679)(708, 1680)(709, 1681)(710, 1682)(711, 1683)(712, 1684)(713, 1685)(714, 1686)(715, 1687)(716, 1688)(717, 1689)(718, 1690)(719, 1691)(720, 1692)(721, 1693)(722, 1694)(723, 1695)(724, 1696)(725, 1697)(726, 1698)(727, 1699)(728, 1700)(729, 1701)(730, 1702)(731, 1703)(732, 1704)(733, 1705)(734, 1706)(735, 1707)(736, 1708)(737, 1709)(738, 1710)(739, 1711)(740, 1712)(741, 1713)(742, 1714)(743, 1715)(744, 1716)(745, 1717)(746, 1718)(747, 1719)(748, 1720)(749, 1721)(750, 1722)(751, 1723)(752, 1724)(753, 1725)(754, 1726)(755, 1727)(756, 1728)(757, 1729)(758, 1730)(759, 1731)(760, 1732)(761, 1733)(762, 1734)(763, 1735)(764, 1736)(765, 1737)(766, 1738)(767, 1739)(768, 1740)(769, 1741)(770, 1742)(771, 1743)(772, 1744)(773, 1745)(774, 1746)(775, 1747)(776, 1748)(777, 1749)(778, 1750)(779, 1751)(780, 1752)(781, 1753)(782, 1754)(783, 1755)(784, 1756)(785, 1757)(786, 1758)(787, 1759)(788, 1760)(789, 1761)(790, 1762)(791, 1763)(792, 1764)(793, 1765)(794, 1766)(795, 1767)(796, 1768)(797, 1769)(798, 1770)(799, 1771)(800, 1772)(801, 1773)(802, 1774)(803, 1775)(804, 1776)(805, 1777)(806, 1778)(807, 1779)(808, 1780)(809, 1781)(810, 1782)(811, 1783)(812, 1784)(813, 1785)(814, 1786)(815, 1787)(816, 1788)(817, 1789)(818, 1790)(819, 1791)(820, 1792)(821, 1793)(822, 1794)(823, 1795)(824, 1796)(825, 1797)(826, 1798)(827, 1799)(828, 1800)(829, 1801)(830, 1802)(831, 1803)(832, 1804)(833, 1805)(834, 1806)(835, 1807)(836, 1808)(837, 1809)(838, 1810)(839, 1811)(840, 1812)(841, 1813)(842, 1814)(843, 1815)(844, 1816)(845, 1817)(846, 1818)(847, 1819)(848, 1820)(849, 1821)(850, 1822)(851, 1823)(852, 1824)(853, 1825)(854, 1826)(855, 1827)(856, 1828)(857, 1829)(858, 1830)(859, 1831)(860, 1832)(861, 1833)(862, 1834)(863, 1835)(864, 1836)(865, 1837)(866, 1838)(867, 1839)(868, 1840)(869, 1841)(870, 1842)(871, 1843)(872, 1844)(873, 1845)(874, 1846)(875, 1847)(876, 1848)(877, 1849)(878, 1850)(879, 1851)(880, 1852)(881, 1853)(882, 1854)(883, 1855)(884, 1856)(885, 1857)(886, 1858)(887, 1859)(888, 1860)(889, 1861)(890, 1862)(891, 1863)(892, 1864)(893, 1865)(894, 1866)(895, 1867)(896, 1868)(897, 1869)(898, 1870)(899, 1871)(900, 1872)(901, 1873)(902, 1874)(903, 1875)(904, 1876)(905, 1877)(906, 1878)(907, 1879)(908, 1880)(909, 1881)(910, 1882)(911, 1883)(912, 1884)(913, 1885)(914, 1886)(915, 1887)(916, 1888)(917, 1889)(918, 1890)(919, 1891)(920, 1892)(921, 1893)(922, 1894)(923, 1895)(924, 1896)(925, 1897)(926, 1898)(927, 1899)(928, 1900)(929, 1901)(930, 1902)(931, 1903)(932, 1904)(933, 1905)(934, 1906)(935, 1907)(936, 1908)(937, 1909)(938, 1910)(939, 1911)(940, 1912)(941, 1913)(942, 1914)(943, 1915)(944, 1916)(945, 1917)(946, 1918)(947, 1919)(948, 1920)(949, 1921)(950, 1922)(951, 1923)(952, 1924)(953, 1925)(954, 1926)(955, 1927)(956, 1928)(957, 1929)(958, 1930)(959, 1931)(960, 1932)(961, 1933)(962, 1934)(963, 1935)(964, 1936)(965, 1937)(966, 1938)(967, 1939)(968, 1940)(969, 1941)(970, 1942)(971, 1943)(972, 1944)
	local type(s) :: { ( 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.3301
Graph:: simple bipartite
	v = 513 e = 972 f = 405
	degree seq :: [ 2^486, 36^27 ]

E28.3305 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 18})
Quotient :: dipole
Aut^+ = ((C9 x C9) : C3) : C2 (small group id <486, 36>)
Aut   = $<972, 115>$ (small group id <972, 115>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y2^-1)^3, (Y3 * Y2^-1)^3, Y2^-2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-2 * Y1, Y2^18, Y2^-5 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^5 * Y1 * Y2 * Y1 * Y2^-1 * Y1, Y2^4 * Y1 * Y2^-4 * Y1 * Y2^-4 * Y1 * Y2^4 * Y1 ]
Map::
	R = (1, 487, 2, 488)(3, 489, 7, 493)(4, 490, 9, 495)(5, 491, 11, 497)(6, 492, 13, 499)(8, 494, 16, 502)(10, 496, 19, 505)(12, 498, 22, 508)(14, 500, 25, 511)(15, 501, 27, 513)(17, 503, 30, 516)(18, 504, 32, 518)(20, 506, 35, 521)(21, 507, 37, 523)(23, 509, 40, 526)(24, 510, 42, 528)(26, 512, 45, 531)(28, 514, 48, 534)(29, 515, 50, 536)(31, 517, 53, 539)(33, 519, 56, 542)(34, 520, 58, 544)(36, 522, 61, 547)(38, 524, 64, 550)(39, 525, 66, 552)(41, 527, 69, 555)(43, 529, 72, 558)(44, 530, 74, 560)(46, 532, 77, 563)(47, 533, 63, 549)(49, 535, 80, 566)(51, 537, 75, 561)(52, 538, 83, 569)(54, 540, 86, 572)(55, 541, 71, 557)(57, 543, 89, 575)(59, 545, 67, 553)(60, 546, 92, 578)(62, 548, 95, 581)(65, 551, 98, 584)(68, 554, 101, 587)(70, 556, 104, 590)(73, 559, 107, 593)(76, 562, 110, 596)(78, 564, 113, 599)(79, 565, 115, 601)(81, 567, 118, 604)(82, 568, 120, 606)(84, 570, 116, 602)(85, 571, 123, 609)(87, 573, 126, 612)(88, 574, 128, 614)(90, 576, 131, 617)(91, 577, 133, 619)(93, 579, 129, 615)(94, 580, 136, 622)(96, 582, 139, 625)(97, 583, 141, 627)(99, 585, 144, 630)(100, 586, 146, 632)(102, 588, 142, 628)(103, 589, 149, 635)(105, 591, 152, 638)(106, 592, 154, 640)(108, 594, 157, 643)(109, 595, 159, 645)(111, 597, 155, 641)(112, 598, 162, 648)(114, 600, 165, 651)(117, 603, 143, 629)(119, 605, 169, 655)(121, 607, 163, 649)(122, 608, 172, 658)(124, 610, 160, 646)(125, 611, 175, 661)(127, 613, 178, 664)(130, 616, 156, 642)(132, 618, 182, 668)(134, 620, 150, 636)(135, 621, 185, 671)(137, 623, 147, 633)(138, 624, 188, 674)(140, 626, 191, 677)(145, 631, 195, 681)(148, 634, 198, 684)(151, 637, 201, 687)(153, 639, 204, 690)(158, 644, 208, 694)(161, 647, 211, 697)(164, 650, 214, 700)(166, 652, 217, 703)(167, 653, 219, 705)(168, 654, 221, 707)(170, 656, 224, 710)(171, 657, 226, 712)(173, 659, 222, 708)(174, 660, 229, 715)(176, 662, 220, 706)(177, 663, 232, 718)(179, 665, 235, 721)(180, 666, 237, 723)(181, 667, 239, 725)(183, 669, 242, 728)(184, 670, 244, 730)(186, 672, 240, 726)(187, 673, 247, 733)(189, 675, 238, 724)(190, 676, 250, 736)(192, 678, 253, 739)(193, 679, 254, 740)(194, 680, 256, 742)(196, 682, 259, 745)(197, 683, 261, 747)(199, 685, 257, 743)(200, 686, 264, 750)(202, 688, 255, 741)(203, 689, 267, 753)(205, 691, 270, 756)(206, 692, 272, 758)(207, 693, 274, 760)(209, 695, 277, 763)(210, 696, 279, 765)(212, 698, 275, 761)(213, 699, 282, 768)(215, 701, 273, 759)(216, 702, 285, 771)(218, 704, 288, 774)(223, 709, 258, 744)(225, 711, 292, 778)(227, 713, 286, 772)(228, 714, 295, 781)(230, 716, 283, 769)(231, 717, 298, 784)(233, 719, 280, 766)(234, 720, 301, 787)(236, 722, 304, 790)(241, 727, 276, 762)(243, 729, 308, 794)(245, 731, 268, 754)(246, 732, 311, 797)(248, 734, 265, 751)(249, 735, 314, 800)(251, 737, 262, 748)(252, 738, 317, 803)(260, 746, 323, 809)(263, 749, 326, 812)(266, 752, 329, 815)(269, 755, 332, 818)(271, 757, 335, 821)(278, 764, 339, 825)(281, 767, 342, 828)(284, 770, 345, 831)(287, 773, 348, 834)(289, 775, 351, 837)(290, 776, 353, 839)(291, 777, 355, 841)(293, 779, 358, 844)(294, 780, 359, 845)(296, 782, 356, 842)(297, 783, 362, 848)(299, 785, 354, 840)(300, 786, 365, 851)(302, 788, 352, 838)(303, 789, 368, 854)(305, 791, 371, 857)(306, 792, 373, 859)(307, 793, 375, 861)(309, 795, 378, 864)(310, 796, 379, 865)(312, 798, 376, 862)(313, 799, 382, 868)(315, 801, 374, 860)(316, 802, 385, 871)(318, 804, 372, 858)(319, 805, 370, 856)(320, 806, 389, 875)(321, 807, 391, 877)(322, 808, 393, 879)(324, 810, 396, 882)(325, 811, 397, 883)(327, 813, 394, 880)(328, 814, 400, 886)(330, 816, 392, 878)(331, 817, 403, 889)(333, 819, 390, 876)(334, 820, 406, 892)(336, 822, 409, 895)(337, 823, 411, 897)(338, 824, 413, 899)(340, 826, 416, 902)(341, 827, 417, 903)(343, 829, 414, 900)(344, 830, 420, 906)(346, 832, 412, 898)(347, 833, 423, 909)(349, 835, 410, 896)(350, 836, 408, 894)(357, 843, 395, 881)(360, 846, 426, 912)(361, 847, 430, 916)(363, 849, 424, 910)(364, 850, 432, 918)(366, 852, 421, 907)(367, 853, 435, 921)(369, 855, 418, 904)(377, 863, 415, 901)(380, 866, 407, 893)(381, 867, 441, 927)(383, 869, 404, 890)(384, 870, 443, 929)(386, 872, 401, 887)(387, 873, 437, 923)(388, 874, 398, 884)(399, 885, 450, 936)(402, 888, 452, 938)(405, 891, 455, 941)(419, 905, 461, 947)(422, 908, 463, 949)(425, 911, 457, 943)(427, 913, 467, 953)(428, 914, 468, 954)(429, 915, 460, 946)(431, 917, 456, 942)(433, 919, 469, 955)(434, 920, 470, 956)(436, 922, 451, 937)(438, 924, 473, 959)(439, 925, 474, 960)(440, 926, 449, 935)(442, 928, 466, 952)(444, 930, 475, 961)(445, 931, 472, 958)(446, 932, 462, 948)(447, 933, 477, 963)(448, 934, 478, 964)(453, 939, 479, 965)(454, 940, 480, 966)(458, 944, 483, 969)(459, 945, 484, 970)(464, 950, 485, 971)(465, 951, 482, 968)(471, 957, 486, 972)(476, 962, 481, 967)(973, 1459, 975, 1461, 980, 1466, 989, 1475, 1003, 1489, 1026, 1512, 1059, 1545, 1099, 1585, 1151, 1637, 1208, 1694, 1164, 1650, 1112, 1598, 1068, 1554, 1034, 1520, 1008, 1494, 992, 1478, 982, 1468, 976, 1462)(974, 1460, 977, 1463, 984, 1470, 995, 1481, 1013, 1499, 1042, 1528, 1077, 1563, 1125, 1611, 1177, 1663, 1243, 1729, 1190, 1676, 1138, 1624, 1086, 1572, 1050, 1536, 1018, 1504, 998, 1484, 986, 1472, 978, 1464)(979, 1465, 985, 1471, 996, 1482, 1015, 1501, 1045, 1531, 1080, 1566, 1130, 1616, 1181, 1667, 1250, 1736, 1312, 1798, 1265, 1751, 1197, 1683, 1142, 1628, 1091, 1577, 1053, 1539, 1021, 1507, 1000, 1486, 987, 1473)(981, 1467, 990, 1476, 1005, 1491, 1029, 1515, 1062, 1548, 1104, 1590, 1155, 1641, 1215, 1701, 1281, 1767, 1296, 1782, 1232, 1718, 1168, 1654, 1117, 1603, 1071, 1557, 1037, 1523, 1010, 1496, 993, 1479, 983, 1469)(988, 1474, 999, 1485, 1019, 1505, 1036, 1522, 1069, 1555, 1114, 1600, 1165, 1651, 1227, 1713, 1292, 1778, 1362, 1848, 1332, 1818, 1266, 1752, 1199, 1685, 1143, 1629, 1093, 1579, 1054, 1540, 1023, 1509, 1001, 1487)(991, 1477, 1006, 1492, 1031, 1517, 1063, 1549, 1106, 1592, 1156, 1642, 1217, 1703, 1282, 1768, 1352, 1838, 1382, 1868, 1308, 1794, 1245, 1731, 1178, 1664, 1127, 1613, 1078, 1564, 1044, 1530, 1027, 1513, 1004, 1490)(994, 1480, 1009, 1495, 1035, 1521, 1020, 1506, 1051, 1537, 1088, 1574, 1139, 1625, 1192, 1678, 1261, 1747, 1324, 1810, 1370, 1856, 1297, 1783, 1234, 1720, 1169, 1655, 1119, 1605, 1072, 1558, 1039, 1525, 1011, 1497)(997, 1483, 1016, 1502, 1047, 1533, 1081, 1567, 1132, 1618, 1182, 1668, 1252, 1738, 1313, 1799, 1390, 1876, 1344, 1830, 1277, 1763, 1210, 1696, 1152, 1638, 1101, 1587, 1060, 1546, 1028, 1514, 1043, 1529, 1014, 1500)(1002, 1488, 1022, 1508, 1046, 1532, 1017, 1503, 1048, 1534, 1083, 1569, 1133, 1619, 1184, 1670, 1253, 1739, 1315, 1801, 1391, 1877, 1333, 1819, 1268, 1754, 1200, 1686, 1145, 1631, 1094, 1580, 1056, 1542, 1024, 1510)(1007, 1493, 1032, 1518, 1065, 1551, 1107, 1593, 1158, 1644, 1218, 1704, 1284, 1770, 1353, 1839, 1371, 1857, 1299, 1785, 1235, 1721, 1171, 1657, 1120, 1606, 1074, 1560, 1040, 1526, 1012, 1498, 1038, 1524, 1030, 1516)(1025, 1511, 1055, 1541, 1087, 1573, 1052, 1538, 1089, 1575, 1116, 1602, 1166, 1652, 1229, 1715, 1293, 1779, 1364, 1850, 1419, 1905, 1403, 1889, 1335, 1821, 1269, 1755, 1202, 1688, 1146, 1632, 1096, 1582, 1057, 1543)(1033, 1519, 1066, 1552, 1109, 1595, 1159, 1645, 1220, 1706, 1285, 1771, 1355, 1841, 1414, 1900, 1430, 1916, 1384, 1870, 1309, 1795, 1247, 1733, 1179, 1665, 1129, 1615, 1102, 1588, 1061, 1547, 1100, 1586, 1064, 1550)(1041, 1527, 1073, 1559, 1113, 1599, 1070, 1556, 1115, 1601, 1090, 1576, 1140, 1626, 1194, 1680, 1262, 1748, 1326, 1812, 1399, 1885, 1423, 1909, 1373, 1859, 1300, 1786, 1237, 1723, 1172, 1658, 1122, 1608, 1075, 1561)(1049, 1535, 1084, 1570, 1135, 1621, 1185, 1671, 1255, 1741, 1316, 1802, 1393, 1879, 1434, 1920, 1410, 1896, 1346, 1832, 1278, 1764, 1212, 1698, 1153, 1639, 1103, 1589, 1128, 1614, 1079, 1565, 1126, 1612, 1082, 1568)(1058, 1544, 1095, 1581, 1131, 1617, 1092, 1578, 1134, 1620, 1085, 1571, 1136, 1622, 1187, 1673, 1256, 1742, 1318, 1804, 1394, 1880, 1436, 1922, 1405, 1891, 1336, 1822, 1271, 1757, 1203, 1689, 1148, 1634, 1097, 1583)(1067, 1553, 1110, 1596, 1161, 1647, 1221, 1707, 1287, 1773, 1356, 1842, 1416, 1902, 1425, 1911, 1374, 1860, 1302, 1788, 1238, 1724, 1174, 1660, 1123, 1609, 1076, 1562, 1121, 1607, 1105, 1591, 1118, 1604, 1108, 1594)(1098, 1584, 1147, 1633, 1191, 1677, 1144, 1630, 1193, 1679, 1141, 1627, 1195, 1681, 1231, 1717, 1294, 1780, 1366, 1852, 1420, 1906, 1451, 1937, 1443, 1929, 1406, 1892, 1338, 1824, 1272, 1758, 1205, 1691, 1149, 1635)(1111, 1597, 1162, 1648, 1223, 1709, 1288, 1774, 1358, 1844, 1417, 1903, 1448, 1934, 1457, 1943, 1431, 1917, 1386, 1872, 1310, 1796, 1249, 1735, 1213, 1699, 1154, 1640, 1211, 1697, 1157, 1643, 1209, 1695, 1160, 1646)(1124, 1610, 1173, 1659, 1226, 1712, 1170, 1656, 1228, 1714, 1167, 1653, 1230, 1716, 1196, 1682, 1263, 1749, 1328, 1814, 1400, 1886, 1441, 1927, 1453, 1939, 1426, 1912, 1376, 1862, 1303, 1789, 1240, 1726, 1175, 1661)(1137, 1623, 1188, 1674, 1258, 1744, 1319, 1805, 1396, 1882, 1437, 1923, 1458, 1944, 1447, 1933, 1411, 1897, 1348, 1834, 1279, 1765, 1214, 1700, 1248, 1734, 1180, 1666, 1246, 1732, 1183, 1669, 1244, 1730, 1186, 1672)(1150, 1636, 1204, 1690, 1251, 1737, 1201, 1687, 1254, 1740, 1198, 1684, 1257, 1743, 1189, 1675, 1259, 1745, 1321, 1807, 1397, 1883, 1438, 1924, 1452, 1938, 1444, 1930, 1408, 1894, 1339, 1825, 1274, 1760, 1206, 1692)(1163, 1649, 1224, 1710, 1290, 1776, 1359, 1845, 1418, 1904, 1442, 1928, 1454, 1940, 1428, 1914, 1377, 1863, 1305, 1791, 1241, 1727, 1176, 1662, 1239, 1725, 1216, 1702, 1236, 1722, 1219, 1705, 1233, 1719, 1222, 1708)(1207, 1693, 1273, 1759, 1323, 1809, 1270, 1756, 1325, 1811, 1267, 1753, 1327, 1813, 1264, 1750, 1329, 1815, 1368, 1854, 1421, 1907, 1413, 1899, 1446, 1932, 1415, 1901, 1445, 1931, 1409, 1895, 1341, 1827, 1275, 1761)(1225, 1711, 1291, 1777, 1360, 1846, 1407, 1893, 1439, 1925, 1404, 1890, 1440, 1926, 1402, 1888, 1432, 1918, 1388, 1874, 1349, 1835, 1280, 1766, 1347, 1833, 1283, 1769, 1345, 1831, 1286, 1772, 1343, 1829, 1289, 1775)(1242, 1728, 1304, 1790, 1361, 1847, 1301, 1787, 1363, 1849, 1298, 1784, 1365, 1851, 1295, 1781, 1367, 1853, 1330, 1816, 1401, 1887, 1433, 1919, 1456, 1942, 1435, 1921, 1455, 1941, 1429, 1915, 1379, 1865, 1306, 1792)(1260, 1746, 1322, 1808, 1398, 1884, 1427, 1913, 1449, 1935, 1424, 1910, 1450, 1936, 1422, 1908, 1412, 1898, 1350, 1836, 1387, 1873, 1311, 1797, 1385, 1871, 1314, 1800, 1383, 1869, 1317, 1803, 1381, 1867, 1320, 1806)(1276, 1762, 1340, 1826, 1389, 1875, 1337, 1823, 1392, 1878, 1334, 1820, 1395, 1881, 1331, 1817, 1380, 1866, 1307, 1793, 1378, 1864, 1351, 1837, 1375, 1861, 1354, 1840, 1372, 1858, 1357, 1843, 1369, 1855, 1342, 1828)
	L = (1, 974)(2, 973)(3, 979)(4, 981)(5, 983)(6, 985)(7, 975)(8, 988)(9, 976)(10, 991)(11, 977)(12, 994)(13, 978)(14, 997)(15, 999)(16, 980)(17, 1002)(18, 1004)(19, 982)(20, 1007)(21, 1009)(22, 984)(23, 1012)(24, 1014)(25, 986)(26, 1017)(27, 987)(28, 1020)(29, 1022)(30, 989)(31, 1025)(32, 990)(33, 1028)(34, 1030)(35, 992)(36, 1033)(37, 993)(38, 1036)(39, 1038)(40, 995)(41, 1041)(42, 996)(43, 1044)(44, 1046)(45, 998)(46, 1049)(47, 1035)(48, 1000)(49, 1052)(50, 1001)(51, 1047)(52, 1055)(53, 1003)(54, 1058)(55, 1043)(56, 1005)(57, 1061)(58, 1006)(59, 1039)(60, 1064)(61, 1008)(62, 1067)(63, 1019)(64, 1010)(65, 1070)(66, 1011)(67, 1031)(68, 1073)(69, 1013)(70, 1076)(71, 1027)(72, 1015)(73, 1079)(74, 1016)(75, 1023)(76, 1082)(77, 1018)(78, 1085)(79, 1087)(80, 1021)(81, 1090)(82, 1092)(83, 1024)(84, 1088)(85, 1095)(86, 1026)(87, 1098)(88, 1100)(89, 1029)(90, 1103)(91, 1105)(92, 1032)(93, 1101)(94, 1108)(95, 1034)(96, 1111)(97, 1113)(98, 1037)(99, 1116)(100, 1118)(101, 1040)(102, 1114)(103, 1121)(104, 1042)(105, 1124)(106, 1126)(107, 1045)(108, 1129)(109, 1131)(110, 1048)(111, 1127)(112, 1134)(113, 1050)(114, 1137)(115, 1051)(116, 1056)(117, 1115)(118, 1053)(119, 1141)(120, 1054)(121, 1135)(122, 1144)(123, 1057)(124, 1132)(125, 1147)(126, 1059)(127, 1150)(128, 1060)(129, 1065)(130, 1128)(131, 1062)(132, 1154)(133, 1063)(134, 1122)(135, 1157)(136, 1066)(137, 1119)(138, 1160)(139, 1068)(140, 1163)(141, 1069)(142, 1074)(143, 1089)(144, 1071)(145, 1167)(146, 1072)(147, 1109)(148, 1170)(149, 1075)(150, 1106)(151, 1173)(152, 1077)(153, 1176)(154, 1078)(155, 1083)(156, 1102)(157, 1080)(158, 1180)(159, 1081)(160, 1096)(161, 1183)(162, 1084)(163, 1093)(164, 1186)(165, 1086)(166, 1189)(167, 1191)(168, 1193)(169, 1091)(170, 1196)(171, 1198)(172, 1094)(173, 1194)(174, 1201)(175, 1097)(176, 1192)(177, 1204)(178, 1099)(179, 1207)(180, 1209)(181, 1211)(182, 1104)(183, 1214)(184, 1216)(185, 1107)(186, 1212)(187, 1219)(188, 1110)(189, 1210)(190, 1222)(191, 1112)(192, 1225)(193, 1226)(194, 1228)(195, 1117)(196, 1231)(197, 1233)(198, 1120)(199, 1229)(200, 1236)(201, 1123)(202, 1227)(203, 1239)(204, 1125)(205, 1242)(206, 1244)(207, 1246)(208, 1130)(209, 1249)(210, 1251)(211, 1133)(212, 1247)(213, 1254)(214, 1136)(215, 1245)(216, 1257)(217, 1138)(218, 1260)(219, 1139)(220, 1148)(221, 1140)(222, 1145)(223, 1230)(224, 1142)(225, 1264)(226, 1143)(227, 1258)(228, 1267)(229, 1146)(230, 1255)(231, 1270)(232, 1149)(233, 1252)(234, 1273)(235, 1151)(236, 1276)(237, 1152)(238, 1161)(239, 1153)(240, 1158)(241, 1248)(242, 1155)(243, 1280)(244, 1156)(245, 1240)(246, 1283)(247, 1159)(248, 1237)(249, 1286)(250, 1162)(251, 1234)(252, 1289)(253, 1164)(254, 1165)(255, 1174)(256, 1166)(257, 1171)(258, 1195)(259, 1168)(260, 1295)(261, 1169)(262, 1223)(263, 1298)(264, 1172)(265, 1220)(266, 1301)(267, 1175)(268, 1217)(269, 1304)(270, 1177)(271, 1307)(272, 1178)(273, 1187)(274, 1179)(275, 1184)(276, 1213)(277, 1181)(278, 1311)(279, 1182)(280, 1205)(281, 1314)(282, 1185)(283, 1202)(284, 1317)(285, 1188)(286, 1199)(287, 1320)(288, 1190)(289, 1323)(290, 1325)(291, 1327)(292, 1197)(293, 1330)(294, 1331)(295, 1200)(296, 1328)(297, 1334)(298, 1203)(299, 1326)(300, 1337)(301, 1206)(302, 1324)(303, 1340)(304, 1208)(305, 1343)(306, 1345)(307, 1347)(308, 1215)(309, 1350)(310, 1351)(311, 1218)(312, 1348)(313, 1354)(314, 1221)(315, 1346)(316, 1357)(317, 1224)(318, 1344)(319, 1342)(320, 1361)(321, 1363)(322, 1365)(323, 1232)(324, 1368)(325, 1369)(326, 1235)(327, 1366)(328, 1372)(329, 1238)(330, 1364)(331, 1375)(332, 1241)(333, 1362)(334, 1378)(335, 1243)(336, 1381)(337, 1383)(338, 1385)(339, 1250)(340, 1388)(341, 1389)(342, 1253)(343, 1386)(344, 1392)(345, 1256)(346, 1384)(347, 1395)(348, 1259)(349, 1382)(350, 1380)(351, 1261)(352, 1274)(353, 1262)(354, 1271)(355, 1263)(356, 1268)(357, 1367)(358, 1265)(359, 1266)(360, 1398)(361, 1402)(362, 1269)(363, 1396)(364, 1404)(365, 1272)(366, 1393)(367, 1407)(368, 1275)(369, 1390)(370, 1291)(371, 1277)(372, 1290)(373, 1278)(374, 1287)(375, 1279)(376, 1284)(377, 1387)(378, 1281)(379, 1282)(380, 1379)(381, 1413)(382, 1285)(383, 1376)(384, 1415)(385, 1288)(386, 1373)(387, 1409)(388, 1370)(389, 1292)(390, 1305)(391, 1293)(392, 1302)(393, 1294)(394, 1299)(395, 1329)(396, 1296)(397, 1297)(398, 1360)(399, 1422)(400, 1300)(401, 1358)(402, 1424)(403, 1303)(404, 1355)(405, 1427)(406, 1306)(407, 1352)(408, 1322)(409, 1308)(410, 1321)(411, 1309)(412, 1318)(413, 1310)(414, 1315)(415, 1349)(416, 1312)(417, 1313)(418, 1341)(419, 1433)(420, 1316)(421, 1338)(422, 1435)(423, 1319)(424, 1335)(425, 1429)(426, 1332)(427, 1439)(428, 1440)(429, 1432)(430, 1333)(431, 1428)(432, 1336)(433, 1441)(434, 1442)(435, 1339)(436, 1423)(437, 1359)(438, 1445)(439, 1446)(440, 1421)(441, 1353)(442, 1438)(443, 1356)(444, 1447)(445, 1444)(446, 1434)(447, 1449)(448, 1450)(449, 1412)(450, 1371)(451, 1408)(452, 1374)(453, 1451)(454, 1452)(455, 1377)(456, 1403)(457, 1397)(458, 1455)(459, 1456)(460, 1401)(461, 1391)(462, 1418)(463, 1394)(464, 1457)(465, 1454)(466, 1414)(467, 1399)(468, 1400)(469, 1405)(470, 1406)(471, 1458)(472, 1417)(473, 1410)(474, 1411)(475, 1416)(476, 1453)(477, 1419)(478, 1420)(479, 1425)(480, 1426)(481, 1448)(482, 1437)(483, 1430)(484, 1431)(485, 1436)(486, 1443)(487, 1459)(488, 1460)(489, 1461)(490, 1462)(491, 1463)(492, 1464)(493, 1465)(494, 1466)(495, 1467)(496, 1468)(497, 1469)(498, 1470)(499, 1471)(500, 1472)(501, 1473)(502, 1474)(503, 1475)(504, 1476)(505, 1477)(506, 1478)(507, 1479)(508, 1480)(509, 1481)(510, 1482)(511, 1483)(512, 1484)(513, 1485)(514, 1486)(515, 1487)(516, 1488)(517, 1489)(518, 1490)(519, 1491)(520, 1492)(521, 1493)(522, 1494)(523, 1495)(524, 1496)(525, 1497)(526, 1498)(527, 1499)(528, 1500)(529, 1501)(530, 1502)(531, 1503)(532, 1504)(533, 1505)(534, 1506)(535, 1507)(536, 1508)(537, 1509)(538, 1510)(539, 1511)(540, 1512)(541, 1513)(542, 1514)(543, 1515)(544, 1516)(545, 1517)(546, 1518)(547, 1519)(548, 1520)(549, 1521)(550, 1522)(551, 1523)(552, 1524)(553, 1525)(554, 1526)(555, 1527)(556, 1528)(557, 1529)(558, 1530)(559, 1531)(560, 1532)(561, 1533)(562, 1534)(563, 1535)(564, 1536)(565, 1537)(566, 1538)(567, 1539)(568, 1540)(569, 1541)(570, 1542)(571, 1543)(572, 1544)(573, 1545)(574, 1546)(575, 1547)(576, 1548)(577, 1549)(578, 1550)(579, 1551)(580, 1552)(581, 1553)(582, 1554)(583, 1555)(584, 1556)(585, 1557)(586, 1558)(587, 1559)(588, 1560)(589, 1561)(590, 1562)(591, 1563)(592, 1564)(593, 1565)(594, 1566)(595, 1567)(596, 1568)(597, 1569)(598, 1570)(599, 1571)(600, 1572)(601, 1573)(602, 1574)(603, 1575)(604, 1576)(605, 1577)(606, 1578)(607, 1579)(608, 1580)(609, 1581)(610, 1582)(611, 1583)(612, 1584)(613, 1585)(614, 1586)(615, 1587)(616, 1588)(617, 1589)(618, 1590)(619, 1591)(620, 1592)(621, 1593)(622, 1594)(623, 1595)(624, 1596)(625, 1597)(626, 1598)(627, 1599)(628, 1600)(629, 1601)(630, 1602)(631, 1603)(632, 1604)(633, 1605)(634, 1606)(635, 1607)(636, 1608)(637, 1609)(638, 1610)(639, 1611)(640, 1612)(641, 1613)(642, 1614)(643, 1615)(644, 1616)(645, 1617)(646, 1618)(647, 1619)(648, 1620)(649, 1621)(650, 1622)(651, 1623)(652, 1624)(653, 1625)(654, 1626)(655, 1627)(656, 1628)(657, 1629)(658, 1630)(659, 1631)(660, 1632)(661, 1633)(662, 1634)(663, 1635)(664, 1636)(665, 1637)(666, 1638)(667, 1639)(668, 1640)(669, 1641)(670, 1642)(671, 1643)(672, 1644)(673, 1645)(674, 1646)(675, 1647)(676, 1648)(677, 1649)(678, 1650)(679, 1651)(680, 1652)(681, 1653)(682, 1654)(683, 1655)(684, 1656)(685, 1657)(686, 1658)(687, 1659)(688, 1660)(689, 1661)(690, 1662)(691, 1663)(692, 1664)(693, 1665)(694, 1666)(695, 1667)(696, 1668)(697, 1669)(698, 1670)(699, 1671)(700, 1672)(701, 1673)(702, 1674)(703, 1675)(704, 1676)(705, 1677)(706, 1678)(707, 1679)(708, 1680)(709, 1681)(710, 1682)(711, 1683)(712, 1684)(713, 1685)(714, 1686)(715, 1687)(716, 1688)(717, 1689)(718, 1690)(719, 1691)(720, 1692)(721, 1693)(722, 1694)(723, 1695)(724, 1696)(725, 1697)(726, 1698)(727, 1699)(728, 1700)(729, 1701)(730, 1702)(731, 1703)(732, 1704)(733, 1705)(734, 1706)(735, 1707)(736, 1708)(737, 1709)(738, 1710)(739, 1711)(740, 1712)(741, 1713)(742, 1714)(743, 1715)(744, 1716)(745, 1717)(746, 1718)(747, 1719)(748, 1720)(749, 1721)(750, 1722)(751, 1723)(752, 1724)(753, 1725)(754, 1726)(755, 1727)(756, 1728)(757, 1729)(758, 1730)(759, 1731)(760, 1732)(761, 1733)(762, 1734)(763, 1735)(764, 1736)(765, 1737)(766, 1738)(767, 1739)(768, 1740)(769, 1741)(770, 1742)(771, 1743)(772, 1744)(773, 1745)(774, 1746)(775, 1747)(776, 1748)(777, 1749)(778, 1750)(779, 1751)(780, 1752)(781, 1753)(782, 1754)(783, 1755)(784, 1756)(785, 1757)(786, 1758)(787, 1759)(788, 1760)(789, 1761)(790, 1762)(791, 1763)(792, 1764)(793, 1765)(794, 1766)(795, 1767)(796, 1768)(797, 1769)(798, 1770)(799, 1771)(800, 1772)(801, 1773)(802, 1774)(803, 1775)(804, 1776)(805, 1777)(806, 1778)(807, 1779)(808, 1780)(809, 1781)(810, 1782)(811, 1783)(812, 1784)(813, 1785)(814, 1786)(815, 1787)(816, 1788)(817, 1789)(818, 1790)(819, 1791)(820, 1792)(821, 1793)(822, 1794)(823, 1795)(824, 1796)(825, 1797)(826, 1798)(827, 1799)(828, 1800)(829, 1801)(830, 1802)(831, 1803)(832, 1804)(833, 1805)(834, 1806)(835, 1807)(836, 1808)(837, 1809)(838, 1810)(839, 1811)(840, 1812)(841, 1813)(842, 1814)(843, 1815)(844, 1816)(845, 1817)(846, 1818)(847, 1819)(848, 1820)(849, 1821)(850, 1822)(851, 1823)(852, 1824)(853, 1825)(854, 1826)(855, 1827)(856, 1828)(857, 1829)(858, 1830)(859, 1831)(860, 1832)(861, 1833)(862, 1834)(863, 1835)(864, 1836)(865, 1837)(866, 1838)(867, 1839)(868, 1840)(869, 1841)(870, 1842)(871, 1843)(872, 1844)(873, 1845)(874, 1846)(875, 1847)(876, 1848)(877, 1849)(878, 1850)(879, 1851)(880, 1852)(881, 1853)(882, 1854)(883, 1855)(884, 1856)(885, 1857)(886, 1858)(887, 1859)(888, 1860)(889, 1861)(890, 1862)(891, 1863)(892, 1864)(893, 1865)(894, 1866)(895, 1867)(896, 1868)(897, 1869)(898, 1870)(899, 1871)(900, 1872)(901, 1873)(902, 1874)(903, 1875)(904, 1876)(905, 1877)(906, 1878)(907, 1879)(908, 1880)(909, 1881)(910, 1882)(911, 1883)(912, 1884)(913, 1885)(914, 1886)(915, 1887)(916, 1888)(917, 1889)(918, 1890)(919, 1891)(920, 1892)(921, 1893)(922, 1894)(923, 1895)(924, 1896)(925, 1897)(926, 1898)(927, 1899)(928, 1900)(929, 1901)(930, 1902)(931, 1903)(932, 1904)(933, 1905)(934, 1906)(935, 1907)(936, 1908)(937, 1909)(938, 1910)(939, 1911)(940, 1912)(941, 1913)(942, 1914)(943, 1915)(944, 1916)(945, 1917)(946, 1918)(947, 1919)(948, 1920)(949, 1921)(950, 1922)(951, 1923)(952, 1924)(953, 1925)(954, 1926)(955, 1927)(956, 1928)(957, 1929)(958, 1930)(959, 1931)(960, 1932)(961, 1933)(962, 1934)(963, 1935)(964, 1936)(965, 1937)(966, 1938)(967, 1939)(968, 1940)(969, 1941)(970, 1942)(971, 1943)(972, 1944)
	local type(s) :: { ( 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.3306
Graph:: bipartite
	v = 270 e = 972 f = 648
	degree seq :: [ 4^243, 36^27 ]

E28.3306 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 18})
Quotient :: dipole
Aut^+ = ((C9 x C9) : C3) : C2 (small group id <486, 36>)
Aut   = $<972, 115>$ (small group id <972, 115>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^3, (Y3 * Y1)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, Y1^-1 * Y3 * Y1 * Y3 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y3^2 * Y1^-1)^3, Y3^3 * Y1^-1 * Y3^-7 * Y1 * Y3^4 * Y1^-1 * Y3^-8 * Y1^-1, (Y3 * Y2^-1)^18 ]
Map:: polytopal
	R = (1, 487, 2, 488, 4, 490)(3, 489, 8, 494, 10, 496)(5, 491, 12, 498, 6, 492)(7, 493, 15, 501, 11, 497)(9, 495, 18, 504, 20, 506)(13, 499, 25, 511, 23, 509)(14, 500, 24, 510, 28, 514)(16, 502, 31, 517, 29, 515)(17, 503, 33, 519, 21, 507)(19, 505, 36, 522, 38, 524)(22, 508, 30, 516, 42, 528)(26, 512, 47, 533, 45, 531)(27, 513, 49, 535, 51, 537)(32, 518, 56, 542, 55, 541)(34, 520, 59, 545, 58, 544)(35, 521, 53, 539, 39, 525)(37, 523, 63, 549, 65, 551)(40, 526, 52, 538, 44, 530)(41, 527, 68, 554, 70, 556)(43, 529, 46, 532, 54, 540)(48, 534, 76, 562, 74, 560)(50, 536, 79, 565, 81, 567)(57, 543, 87, 573, 85, 571)(60, 546, 91, 577, 90, 576)(61, 547, 93, 579, 82, 568)(62, 548, 89, 575, 66, 552)(64, 550, 97, 583, 99, 585)(67, 553, 72, 558, 102, 588)(69, 555, 104, 590, 106, 592)(71, 557, 83, 569, 108, 594)(73, 559, 75, 561, 78, 564)(77, 563, 114, 600, 112, 598)(80, 566, 118, 604, 120, 606)(84, 570, 86, 572, 103, 589)(88, 574, 128, 614, 126, 612)(92, 578, 134, 620, 132, 618)(94, 580, 125, 611, 127, 613)(95, 581, 137, 623, 130, 616)(96, 582, 122, 608, 100, 586)(98, 584, 141, 627, 143, 629)(101, 587, 121, 607, 117, 603)(105, 591, 148, 634, 150, 636)(107, 593, 151, 637, 147, 633)(109, 595, 131, 617, 133, 619)(110, 596, 116, 602, 155, 641)(111, 597, 113, 599, 123, 609)(115, 601, 160, 646, 158, 644)(119, 605, 165, 651, 167, 653)(124, 610, 146, 632, 172, 658)(129, 615, 177, 663, 175, 661)(135, 621, 184, 670, 182, 668)(136, 622, 186, 672, 173, 659)(138, 624, 181, 667, 183, 669)(139, 625, 189, 675, 169, 655)(140, 626, 179, 665, 144, 630)(142, 628, 193, 679, 195, 681)(145, 631, 163, 649, 198, 684)(149, 635, 202, 688, 204, 690)(152, 638, 200, 686, 207, 693)(153, 639, 208, 694, 180, 666)(154, 640, 168, 654, 164, 650)(156, 642, 170, 656, 212, 698)(157, 643, 159, 645, 162, 648)(161, 647, 217, 703, 215, 701)(166, 652, 223, 709, 225, 711)(171, 657, 205, 691, 201, 687)(174, 660, 176, 662, 199, 685)(178, 664, 235, 721, 233, 719)(185, 671, 243, 729, 241, 727)(187, 673, 232, 718, 234, 720)(188, 674, 247, 733, 239, 725)(190, 676, 230, 716, 245, 731)(191, 677, 250, 736, 237, 723)(192, 678, 227, 713, 196, 682)(194, 680, 254, 740, 256, 742)(197, 683, 226, 712, 222, 708)(203, 689, 264, 750, 266, 752)(206, 692, 267, 753, 263, 749)(209, 695, 240, 726, 242, 728)(210, 696, 221, 707, 272, 758)(211, 697, 269, 755, 261, 747)(213, 699, 219, 705, 275, 761)(214, 700, 216, 702, 228, 714)(218, 704, 280, 766, 278, 764)(220, 706, 238, 724, 259, 745)(224, 710, 286, 772, 288, 774)(229, 715, 262, 748, 293, 779)(231, 717, 260, 746, 296, 782)(236, 722, 301, 787, 299, 785)(244, 730, 309, 795, 307, 793)(246, 732, 311, 797, 297, 783)(248, 734, 306, 792, 308, 794)(249, 735, 315, 801, 294, 780)(251, 737, 304, 790, 313, 799)(252, 738, 318, 804, 290, 776)(253, 739, 302, 788, 257, 743)(255, 741, 322, 808, 323, 809)(258, 744, 284, 770, 326, 812)(265, 751, 332, 818, 333, 819)(268, 754, 330, 816, 336, 822)(270, 756, 337, 823, 305, 791)(271, 757, 289, 775, 285, 771)(273, 759, 328, 814, 342, 828)(274, 760, 340, 826, 283, 769)(276, 762, 291, 777, 345, 831)(277, 763, 279, 765, 281, 767)(282, 768, 350, 836, 303, 789)(287, 773, 356, 842, 357, 843)(292, 778, 334, 820, 331, 817)(295, 781, 362, 848, 329, 815)(298, 784, 300, 786, 327, 813)(310, 796, 377, 863, 375, 861)(312, 798, 367, 853, 368, 854)(314, 800, 380, 866, 373, 859)(316, 802, 365, 851, 378, 864)(317, 803, 384, 870, 371, 857)(319, 805, 363, 849, 382, 868)(320, 806, 387, 873, 369, 855)(321, 807, 359, 845, 324, 810)(325, 811, 358, 844, 355, 841)(335, 821, 399, 885, 398, 884)(338, 824, 374, 860, 376, 862)(339, 825, 354, 840, 404, 890)(341, 827, 401, 887, 396, 882)(343, 829, 352, 838, 408, 894)(344, 830, 406, 892, 394, 880)(346, 832, 349, 835, 411, 897)(347, 833, 348, 834, 360, 846)(351, 837, 372, 858, 402, 888)(353, 839, 370, 856, 392, 878)(361, 847, 397, 883, 422, 908)(364, 850, 395, 881, 425, 911)(366, 852, 393, 879, 428, 914)(379, 865, 418, 904, 429, 915)(381, 867, 435, 921, 436, 922)(383, 869, 438, 924, 426, 912)(385, 871, 433, 919, 437, 923)(386, 872, 442, 928, 423, 909)(388, 874, 431, 917, 440, 926)(389, 875, 412, 898, 421, 907)(390, 876, 413, 899, 391, 877)(400, 886, 450, 936, 434, 920)(403, 889, 420, 906, 419, 905)(405, 891, 448, 934, 453, 939)(407, 893, 451, 937, 417, 903)(409, 895, 446, 932, 457, 943)(410, 896, 455, 941, 415, 901)(414, 900, 460, 946, 432, 918)(416, 902, 462, 948, 430, 916)(424, 910, 466, 952, 449, 935)(427, 913, 468, 954, 447, 933)(439, 925, 471, 957, 465, 951)(441, 927, 476, 962, 473, 959)(443, 929, 469, 955, 475, 961)(444, 930, 458, 944, 461, 947)(445, 931, 467, 953, 459, 945)(452, 938, 474, 960, 480, 966)(454, 940, 464, 950, 470, 956)(456, 942, 481, 967, 479, 965)(463, 949, 472, 958, 484, 970)(477, 963, 482, 968, 486, 972)(478, 964, 485, 971, 483, 969)(973, 1459)(974, 1460)(975, 1461)(976, 1462)(977, 1463)(978, 1464)(979, 1465)(980, 1466)(981, 1467)(982, 1468)(983, 1469)(984, 1470)(985, 1471)(986, 1472)(987, 1473)(988, 1474)(989, 1475)(990, 1476)(991, 1477)(992, 1478)(993, 1479)(994, 1480)(995, 1481)(996, 1482)(997, 1483)(998, 1484)(999, 1485)(1000, 1486)(1001, 1487)(1002, 1488)(1003, 1489)(1004, 1490)(1005, 1491)(1006, 1492)(1007, 1493)(1008, 1494)(1009, 1495)(1010, 1496)(1011, 1497)(1012, 1498)(1013, 1499)(1014, 1500)(1015, 1501)(1016, 1502)(1017, 1503)(1018, 1504)(1019, 1505)(1020, 1506)(1021, 1507)(1022, 1508)(1023, 1509)(1024, 1510)(1025, 1511)(1026, 1512)(1027, 1513)(1028, 1514)(1029, 1515)(1030, 1516)(1031, 1517)(1032, 1518)(1033, 1519)(1034, 1520)(1035, 1521)(1036, 1522)(1037, 1523)(1038, 1524)(1039, 1525)(1040, 1526)(1041, 1527)(1042, 1528)(1043, 1529)(1044, 1530)(1045, 1531)(1046, 1532)(1047, 1533)(1048, 1534)(1049, 1535)(1050, 1536)(1051, 1537)(1052, 1538)(1053, 1539)(1054, 1540)(1055, 1541)(1056, 1542)(1057, 1543)(1058, 1544)(1059, 1545)(1060, 1546)(1061, 1547)(1062, 1548)(1063, 1549)(1064, 1550)(1065, 1551)(1066, 1552)(1067, 1553)(1068, 1554)(1069, 1555)(1070, 1556)(1071, 1557)(1072, 1558)(1073, 1559)(1074, 1560)(1075, 1561)(1076, 1562)(1077, 1563)(1078, 1564)(1079, 1565)(1080, 1566)(1081, 1567)(1082, 1568)(1083, 1569)(1084, 1570)(1085, 1571)(1086, 1572)(1087, 1573)(1088, 1574)(1089, 1575)(1090, 1576)(1091, 1577)(1092, 1578)(1093, 1579)(1094, 1580)(1095, 1581)(1096, 1582)(1097, 1583)(1098, 1584)(1099, 1585)(1100, 1586)(1101, 1587)(1102, 1588)(1103, 1589)(1104, 1590)(1105, 1591)(1106, 1592)(1107, 1593)(1108, 1594)(1109, 1595)(1110, 1596)(1111, 1597)(1112, 1598)(1113, 1599)(1114, 1600)(1115, 1601)(1116, 1602)(1117, 1603)(1118, 1604)(1119, 1605)(1120, 1606)(1121, 1607)(1122, 1608)(1123, 1609)(1124, 1610)(1125, 1611)(1126, 1612)(1127, 1613)(1128, 1614)(1129, 1615)(1130, 1616)(1131, 1617)(1132, 1618)(1133, 1619)(1134, 1620)(1135, 1621)(1136, 1622)(1137, 1623)(1138, 1624)(1139, 1625)(1140, 1626)(1141, 1627)(1142, 1628)(1143, 1629)(1144, 1630)(1145, 1631)(1146, 1632)(1147, 1633)(1148, 1634)(1149, 1635)(1150, 1636)(1151, 1637)(1152, 1638)(1153, 1639)(1154, 1640)(1155, 1641)(1156, 1642)(1157, 1643)(1158, 1644)(1159, 1645)(1160, 1646)(1161, 1647)(1162, 1648)(1163, 1649)(1164, 1650)(1165, 1651)(1166, 1652)(1167, 1653)(1168, 1654)(1169, 1655)(1170, 1656)(1171, 1657)(1172, 1658)(1173, 1659)(1174, 1660)(1175, 1661)(1176, 1662)(1177, 1663)(1178, 1664)(1179, 1665)(1180, 1666)(1181, 1667)(1182, 1668)(1183, 1669)(1184, 1670)(1185, 1671)(1186, 1672)(1187, 1673)(1188, 1674)(1189, 1675)(1190, 1676)(1191, 1677)(1192, 1678)(1193, 1679)(1194, 1680)(1195, 1681)(1196, 1682)(1197, 1683)(1198, 1684)(1199, 1685)(1200, 1686)(1201, 1687)(1202, 1688)(1203, 1689)(1204, 1690)(1205, 1691)(1206, 1692)(1207, 1693)(1208, 1694)(1209, 1695)(1210, 1696)(1211, 1697)(1212, 1698)(1213, 1699)(1214, 1700)(1215, 1701)(1216, 1702)(1217, 1703)(1218, 1704)(1219, 1705)(1220, 1706)(1221, 1707)(1222, 1708)(1223, 1709)(1224, 1710)(1225, 1711)(1226, 1712)(1227, 1713)(1228, 1714)(1229, 1715)(1230, 1716)(1231, 1717)(1232, 1718)(1233, 1719)(1234, 1720)(1235, 1721)(1236, 1722)(1237, 1723)(1238, 1724)(1239, 1725)(1240, 1726)(1241, 1727)(1242, 1728)(1243, 1729)(1244, 1730)(1245, 1731)(1246, 1732)(1247, 1733)(1248, 1734)(1249, 1735)(1250, 1736)(1251, 1737)(1252, 1738)(1253, 1739)(1254, 1740)(1255, 1741)(1256, 1742)(1257, 1743)(1258, 1744)(1259, 1745)(1260, 1746)(1261, 1747)(1262, 1748)(1263, 1749)(1264, 1750)(1265, 1751)(1266, 1752)(1267, 1753)(1268, 1754)(1269, 1755)(1270, 1756)(1271, 1757)(1272, 1758)(1273, 1759)(1274, 1760)(1275, 1761)(1276, 1762)(1277, 1763)(1278, 1764)(1279, 1765)(1280, 1766)(1281, 1767)(1282, 1768)(1283, 1769)(1284, 1770)(1285, 1771)(1286, 1772)(1287, 1773)(1288, 1774)(1289, 1775)(1290, 1776)(1291, 1777)(1292, 1778)(1293, 1779)(1294, 1780)(1295, 1781)(1296, 1782)(1297, 1783)(1298, 1784)(1299, 1785)(1300, 1786)(1301, 1787)(1302, 1788)(1303, 1789)(1304, 1790)(1305, 1791)(1306, 1792)(1307, 1793)(1308, 1794)(1309, 1795)(1310, 1796)(1311, 1797)(1312, 1798)(1313, 1799)(1314, 1800)(1315, 1801)(1316, 1802)(1317, 1803)(1318, 1804)(1319, 1805)(1320, 1806)(1321, 1807)(1322, 1808)(1323, 1809)(1324, 1810)(1325, 1811)(1326, 1812)(1327, 1813)(1328, 1814)(1329, 1815)(1330, 1816)(1331, 1817)(1332, 1818)(1333, 1819)(1334, 1820)(1335, 1821)(1336, 1822)(1337, 1823)(1338, 1824)(1339, 1825)(1340, 1826)(1341, 1827)(1342, 1828)(1343, 1829)(1344, 1830)(1345, 1831)(1346, 1832)(1347, 1833)(1348, 1834)(1349, 1835)(1350, 1836)(1351, 1837)(1352, 1838)(1353, 1839)(1354, 1840)(1355, 1841)(1356, 1842)(1357, 1843)(1358, 1844)(1359, 1845)(1360, 1846)(1361, 1847)(1362, 1848)(1363, 1849)(1364, 1850)(1365, 1851)(1366, 1852)(1367, 1853)(1368, 1854)(1369, 1855)(1370, 1856)(1371, 1857)(1372, 1858)(1373, 1859)(1374, 1860)(1375, 1861)(1376, 1862)(1377, 1863)(1378, 1864)(1379, 1865)(1380, 1866)(1381, 1867)(1382, 1868)(1383, 1869)(1384, 1870)(1385, 1871)(1386, 1872)(1387, 1873)(1388, 1874)(1389, 1875)(1390, 1876)(1391, 1877)(1392, 1878)(1393, 1879)(1394, 1880)(1395, 1881)(1396, 1882)(1397, 1883)(1398, 1884)(1399, 1885)(1400, 1886)(1401, 1887)(1402, 1888)(1403, 1889)(1404, 1890)(1405, 1891)(1406, 1892)(1407, 1893)(1408, 1894)(1409, 1895)(1410, 1896)(1411, 1897)(1412, 1898)(1413, 1899)(1414, 1900)(1415, 1901)(1416, 1902)(1417, 1903)(1418, 1904)(1419, 1905)(1420, 1906)(1421, 1907)(1422, 1908)(1423, 1909)(1424, 1910)(1425, 1911)(1426, 1912)(1427, 1913)(1428, 1914)(1429, 1915)(1430, 1916)(1431, 1917)(1432, 1918)(1433, 1919)(1434, 1920)(1435, 1921)(1436, 1922)(1437, 1923)(1438, 1924)(1439, 1925)(1440, 1926)(1441, 1927)(1442, 1928)(1443, 1929)(1444, 1930)(1445, 1931)(1446, 1932)(1447, 1933)(1448, 1934)(1449, 1935)(1450, 1936)(1451, 1937)(1452, 1938)(1453, 1939)(1454, 1940)(1455, 1941)(1456, 1942)(1457, 1943)(1458, 1944)
	L = (1, 975)(2, 978)(3, 981)(4, 983)(5, 973)(6, 986)(7, 974)(8, 976)(9, 991)(10, 993)(11, 994)(12, 995)(13, 977)(14, 999)(15, 1001)(16, 979)(17, 980)(18, 982)(19, 1009)(20, 1011)(21, 1012)(22, 1013)(23, 1015)(24, 984)(25, 1017)(26, 985)(27, 1022)(28, 1024)(29, 1025)(30, 987)(31, 1027)(32, 988)(33, 1030)(34, 989)(35, 990)(36, 992)(37, 1036)(38, 1038)(39, 1003)(40, 1039)(41, 1041)(42, 1018)(43, 1043)(44, 996)(45, 1045)(46, 997)(47, 1046)(48, 998)(49, 1000)(50, 1052)(51, 1047)(52, 1005)(53, 1054)(54, 1002)(55, 1056)(56, 1057)(57, 1004)(58, 1061)(59, 1062)(60, 1006)(61, 1007)(62, 1008)(63, 1010)(64, 1070)(65, 1072)(66, 1031)(67, 1073)(68, 1014)(69, 1077)(70, 1058)(71, 1079)(72, 1016)(73, 1082)(74, 1083)(75, 1019)(76, 1084)(77, 1020)(78, 1021)(79, 1023)(80, 1091)(81, 1093)(82, 1094)(83, 1026)(84, 1096)(85, 1097)(86, 1028)(87, 1098)(88, 1029)(89, 1102)(90, 1103)(91, 1104)(92, 1032)(93, 1099)(94, 1033)(95, 1034)(96, 1035)(97, 1037)(98, 1114)(99, 1116)(100, 1065)(101, 1117)(102, 1105)(103, 1040)(104, 1042)(105, 1121)(106, 1123)(107, 1124)(108, 1085)(109, 1044)(110, 1126)(111, 1128)(112, 1129)(113, 1048)(114, 1130)(115, 1049)(116, 1050)(117, 1051)(118, 1053)(119, 1138)(120, 1140)(121, 1074)(122, 1141)(123, 1055)(124, 1143)(125, 1145)(126, 1146)(127, 1059)(128, 1147)(129, 1060)(130, 1151)(131, 1152)(132, 1153)(133, 1063)(134, 1154)(135, 1064)(136, 1066)(137, 1155)(138, 1067)(139, 1068)(140, 1069)(141, 1071)(142, 1166)(143, 1168)(144, 1109)(145, 1169)(146, 1075)(147, 1076)(148, 1078)(149, 1175)(150, 1177)(151, 1080)(152, 1178)(153, 1081)(154, 1182)(155, 1131)(156, 1183)(157, 1185)(158, 1186)(159, 1086)(160, 1187)(161, 1087)(162, 1088)(163, 1089)(164, 1090)(165, 1092)(166, 1196)(167, 1198)(168, 1127)(169, 1199)(170, 1095)(171, 1201)(172, 1148)(173, 1202)(174, 1203)(175, 1204)(176, 1100)(177, 1205)(178, 1101)(179, 1209)(180, 1210)(181, 1211)(182, 1212)(183, 1106)(184, 1213)(185, 1107)(186, 1206)(187, 1108)(188, 1110)(189, 1217)(190, 1111)(191, 1112)(192, 1113)(193, 1115)(194, 1227)(195, 1229)(196, 1161)(197, 1230)(198, 1231)(199, 1118)(200, 1119)(201, 1120)(202, 1122)(203, 1237)(204, 1239)(205, 1144)(206, 1240)(207, 1241)(208, 1214)(209, 1125)(210, 1243)(211, 1245)(212, 1188)(213, 1246)(214, 1248)(215, 1249)(216, 1132)(217, 1250)(218, 1133)(219, 1134)(220, 1135)(221, 1136)(222, 1137)(223, 1139)(224, 1259)(225, 1261)(226, 1170)(227, 1262)(228, 1142)(229, 1264)(230, 1266)(231, 1267)(232, 1269)(233, 1270)(234, 1149)(235, 1271)(236, 1150)(237, 1274)(238, 1275)(239, 1276)(240, 1277)(241, 1278)(242, 1156)(243, 1279)(244, 1157)(245, 1158)(246, 1159)(247, 1280)(248, 1160)(249, 1162)(250, 1285)(251, 1163)(252, 1164)(253, 1165)(254, 1167)(255, 1190)(256, 1296)(257, 1222)(258, 1297)(259, 1180)(260, 1171)(261, 1172)(262, 1173)(263, 1174)(264, 1176)(265, 1282)(266, 1306)(267, 1179)(268, 1307)(269, 1184)(270, 1181)(271, 1311)(272, 1312)(273, 1313)(274, 1315)(275, 1251)(276, 1316)(277, 1318)(278, 1319)(279, 1189)(280, 1295)(281, 1191)(282, 1192)(283, 1193)(284, 1194)(285, 1195)(286, 1197)(287, 1208)(288, 1330)(289, 1244)(290, 1331)(291, 1200)(292, 1333)(293, 1334)(294, 1335)(295, 1336)(296, 1272)(297, 1337)(298, 1338)(299, 1339)(300, 1207)(301, 1329)(302, 1341)(303, 1342)(304, 1343)(305, 1344)(306, 1345)(307, 1346)(308, 1215)(309, 1347)(310, 1216)(311, 1340)(312, 1218)(313, 1219)(314, 1220)(315, 1350)(316, 1221)(317, 1223)(318, 1354)(319, 1224)(320, 1225)(321, 1226)(322, 1228)(323, 1363)(324, 1290)(325, 1351)(326, 1364)(327, 1232)(328, 1233)(329, 1234)(330, 1235)(331, 1236)(332, 1238)(333, 1371)(334, 1265)(335, 1372)(336, 1373)(337, 1348)(338, 1242)(339, 1375)(340, 1247)(341, 1377)(342, 1378)(343, 1379)(344, 1381)(345, 1320)(346, 1382)(347, 1384)(348, 1252)(349, 1253)(350, 1374)(351, 1254)(352, 1255)(353, 1256)(354, 1257)(355, 1258)(356, 1260)(357, 1392)(358, 1298)(359, 1393)(360, 1263)(361, 1353)(362, 1268)(363, 1395)(364, 1396)(365, 1398)(366, 1399)(367, 1401)(368, 1273)(369, 1385)(370, 1402)(371, 1403)(372, 1404)(373, 1405)(374, 1406)(375, 1407)(376, 1281)(377, 1305)(378, 1283)(379, 1284)(380, 1408)(381, 1286)(382, 1287)(383, 1288)(384, 1409)(385, 1289)(386, 1291)(387, 1412)(388, 1292)(389, 1293)(390, 1294)(391, 1359)(392, 1322)(393, 1299)(394, 1300)(395, 1301)(396, 1302)(397, 1303)(398, 1304)(399, 1308)(400, 1310)(401, 1314)(402, 1309)(403, 1365)(404, 1423)(405, 1424)(406, 1317)(407, 1426)(408, 1427)(409, 1428)(410, 1430)(411, 1362)(412, 1431)(413, 1321)(414, 1323)(415, 1324)(416, 1325)(417, 1326)(418, 1327)(419, 1328)(420, 1376)(421, 1332)(422, 1438)(423, 1439)(424, 1413)(425, 1440)(426, 1441)(427, 1442)(428, 1391)(429, 1443)(430, 1411)(431, 1433)(432, 1444)(433, 1445)(434, 1446)(435, 1394)(436, 1349)(437, 1352)(438, 1437)(439, 1355)(440, 1356)(441, 1357)(442, 1447)(443, 1358)(444, 1360)(445, 1361)(446, 1366)(447, 1367)(448, 1368)(449, 1369)(450, 1370)(451, 1380)(452, 1386)(453, 1453)(454, 1419)(455, 1383)(456, 1454)(457, 1417)(458, 1455)(459, 1414)(460, 1452)(461, 1387)(462, 1456)(463, 1388)(464, 1389)(465, 1390)(466, 1397)(467, 1418)(468, 1400)(469, 1458)(470, 1450)(471, 1434)(472, 1449)(473, 1457)(474, 1425)(475, 1410)(476, 1421)(477, 1415)(478, 1416)(479, 1420)(480, 1422)(481, 1429)(482, 1435)(483, 1448)(484, 1432)(485, 1436)(486, 1451)(487, 1459)(488, 1460)(489, 1461)(490, 1462)(491, 1463)(492, 1464)(493, 1465)(494, 1466)(495, 1467)(496, 1468)(497, 1469)(498, 1470)(499, 1471)(500, 1472)(501, 1473)(502, 1474)(503, 1475)(504, 1476)(505, 1477)(506, 1478)(507, 1479)(508, 1480)(509, 1481)(510, 1482)(511, 1483)(512, 1484)(513, 1485)(514, 1486)(515, 1487)(516, 1488)(517, 1489)(518, 1490)(519, 1491)(520, 1492)(521, 1493)(522, 1494)(523, 1495)(524, 1496)(525, 1497)(526, 1498)(527, 1499)(528, 1500)(529, 1501)(530, 1502)(531, 1503)(532, 1504)(533, 1505)(534, 1506)(535, 1507)(536, 1508)(537, 1509)(538, 1510)(539, 1511)(540, 1512)(541, 1513)(542, 1514)(543, 1515)(544, 1516)(545, 1517)(546, 1518)(547, 1519)(548, 1520)(549, 1521)(550, 1522)(551, 1523)(552, 1524)(553, 1525)(554, 1526)(555, 1527)(556, 1528)(557, 1529)(558, 1530)(559, 1531)(560, 1532)(561, 1533)(562, 1534)(563, 1535)(564, 1536)(565, 1537)(566, 1538)(567, 1539)(568, 1540)(569, 1541)(570, 1542)(571, 1543)(572, 1544)(573, 1545)(574, 1546)(575, 1547)(576, 1548)(577, 1549)(578, 1550)(579, 1551)(580, 1552)(581, 1553)(582, 1554)(583, 1555)(584, 1556)(585, 1557)(586, 1558)(587, 1559)(588, 1560)(589, 1561)(590, 1562)(591, 1563)(592, 1564)(593, 1565)(594, 1566)(595, 1567)(596, 1568)(597, 1569)(598, 1570)(599, 1571)(600, 1572)(601, 1573)(602, 1574)(603, 1575)(604, 1576)(605, 1577)(606, 1578)(607, 1579)(608, 1580)(609, 1581)(610, 1582)(611, 1583)(612, 1584)(613, 1585)(614, 1586)(615, 1587)(616, 1588)(617, 1589)(618, 1590)(619, 1591)(620, 1592)(621, 1593)(622, 1594)(623, 1595)(624, 1596)(625, 1597)(626, 1598)(627, 1599)(628, 1600)(629, 1601)(630, 1602)(631, 1603)(632, 1604)(633, 1605)(634, 1606)(635, 1607)(636, 1608)(637, 1609)(638, 1610)(639, 1611)(640, 1612)(641, 1613)(642, 1614)(643, 1615)(644, 1616)(645, 1617)(646, 1618)(647, 1619)(648, 1620)(649, 1621)(650, 1622)(651, 1623)(652, 1624)(653, 1625)(654, 1626)(655, 1627)(656, 1628)(657, 1629)(658, 1630)(659, 1631)(660, 1632)(661, 1633)(662, 1634)(663, 1635)(664, 1636)(665, 1637)(666, 1638)(667, 1639)(668, 1640)(669, 1641)(670, 1642)(671, 1643)(672, 1644)(673, 1645)(674, 1646)(675, 1647)(676, 1648)(677, 1649)(678, 1650)(679, 1651)(680, 1652)(681, 1653)(682, 1654)(683, 1655)(684, 1656)(685, 1657)(686, 1658)(687, 1659)(688, 1660)(689, 1661)(690, 1662)(691, 1663)(692, 1664)(693, 1665)(694, 1666)(695, 1667)(696, 1668)(697, 1669)(698, 1670)(699, 1671)(700, 1672)(701, 1673)(702, 1674)(703, 1675)(704, 1676)(705, 1677)(706, 1678)(707, 1679)(708, 1680)(709, 1681)(710, 1682)(711, 1683)(712, 1684)(713, 1685)(714, 1686)(715, 1687)(716, 1688)(717, 1689)(718, 1690)(719, 1691)(720, 1692)(721, 1693)(722, 1694)(723, 1695)(724, 1696)(725, 1697)(726, 1698)(727, 1699)(728, 1700)(729, 1701)(730, 1702)(731, 1703)(732, 1704)(733, 1705)(734, 1706)(735, 1707)(736, 1708)(737, 1709)(738, 1710)(739, 1711)(740, 1712)(741, 1713)(742, 1714)(743, 1715)(744, 1716)(745, 1717)(746, 1718)(747, 1719)(748, 1720)(749, 1721)(750, 1722)(751, 1723)(752, 1724)(753, 1725)(754, 1726)(755, 1727)(756, 1728)(757, 1729)(758, 1730)(759, 1731)(760, 1732)(761, 1733)(762, 1734)(763, 1735)(764, 1736)(765, 1737)(766, 1738)(767, 1739)(768, 1740)(769, 1741)(770, 1742)(771, 1743)(772, 1744)(773, 1745)(774, 1746)(775, 1747)(776, 1748)(777, 1749)(778, 1750)(779, 1751)(780, 1752)(781, 1753)(782, 1754)(783, 1755)(784, 1756)(785, 1757)(786, 1758)(787, 1759)(788, 1760)(789, 1761)(790, 1762)(791, 1763)(792, 1764)(793, 1765)(794, 1766)(795, 1767)(796, 1768)(797, 1769)(798, 1770)(799, 1771)(800, 1772)(801, 1773)(802, 1774)(803, 1775)(804, 1776)(805, 1777)(806, 1778)(807, 1779)(808, 1780)(809, 1781)(810, 1782)(811, 1783)(812, 1784)(813, 1785)(814, 1786)(815, 1787)(816, 1788)(817, 1789)(818, 1790)(819, 1791)(820, 1792)(821, 1793)(822, 1794)(823, 1795)(824, 1796)(825, 1797)(826, 1798)(827, 1799)(828, 1800)(829, 1801)(830, 1802)(831, 1803)(832, 1804)(833, 1805)(834, 1806)(835, 1807)(836, 1808)(837, 1809)(838, 1810)(839, 1811)(840, 1812)(841, 1813)(842, 1814)(843, 1815)(844, 1816)(845, 1817)(846, 1818)(847, 1819)(848, 1820)(849, 1821)(850, 1822)(851, 1823)(852, 1824)(853, 1825)(854, 1826)(855, 1827)(856, 1828)(857, 1829)(858, 1830)(859, 1831)(860, 1832)(861, 1833)(862, 1834)(863, 1835)(864, 1836)(865, 1837)(866, 1838)(867, 1839)(868, 1840)(869, 1841)(870, 1842)(871, 1843)(872, 1844)(873, 1845)(874, 1846)(875, 1847)(876, 1848)(877, 1849)(878, 1850)(879, 1851)(880, 1852)(881, 1853)(882, 1854)(883, 1855)(884, 1856)(885, 1857)(886, 1858)(887, 1859)(888, 1860)(889, 1861)(890, 1862)(891, 1863)(892, 1864)(893, 1865)(894, 1866)(895, 1867)(896, 1868)(897, 1869)(898, 1870)(899, 1871)(900, 1872)(901, 1873)(902, 1874)(903, 1875)(904, 1876)(905, 1877)(906, 1878)(907, 1879)(908, 1880)(909, 1881)(910, 1882)(911, 1883)(912, 1884)(913, 1885)(914, 1886)(915, 1887)(916, 1888)(917, 1889)(918, 1890)(919, 1891)(920, 1892)(921, 1893)(922, 1894)(923, 1895)(924, 1896)(925, 1897)(926, 1898)(927, 1899)(928, 1900)(929, 1901)(930, 1902)(931, 1903)(932, 1904)(933, 1905)(934, 1906)(935, 1907)(936, 1908)(937, 1909)(938, 1910)(939, 1911)(940, 1912)(941, 1913)(942, 1914)(943, 1915)(944, 1916)(945, 1917)(946, 1918)(947, 1919)(948, 1920)(949, 1921)(950, 1922)(951, 1923)(952, 1924)(953, 1925)(954, 1926)(955, 1927)(956, 1928)(957, 1929)(958, 1930)(959, 1931)(960, 1932)(961, 1933)(962, 1934)(963, 1935)(964, 1936)(965, 1937)(966, 1938)(967, 1939)(968, 1940)(969, 1941)(970, 1942)(971, 1943)(972, 1944)
	local type(s) :: { ( 4, 36 ), ( 4, 36, 4, 36, 4, 36 ) }
Outer automorphisms :: reflexible
Dual of E28.3305
Graph:: simple bipartite
	v = 648 e = 972 f = 270
	degree seq :: [ 2^486, 6^162 ]

E28.3307 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 3, 18})
Quotient :: halfedge
Aut^+ = ((C9 : C9) : C3) : C2 (small group id <486, 39>)
Aut   = ((C9 : C9) : C3) : C2 (small group id <486, 39>)
|r| :: 1
Presentation :: [ X2^2, (X1 * X2)^3, X2 * X1^4 * X2 * X1^-4 * X2 * X1^2 * X2 * X1^-2, X1^-7 * X2 * X1^3 * X2 * X1^-2 * X2 * X1 * X2 * X1^-1, (X2 * X1^3 * X2 * X1^-1)^3, X1^18 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 11, 21, 37, 63, 105, 173, 275, 274, 172, 104, 62, 36, 20, 10, 4)(3, 7, 15, 27, 47, 79, 131, 215, 296, 187, 297, 246, 151, 91, 54, 31, 17, 8)(6, 13, 25, 43, 73, 121, 199, 313, 395, 289, 227, 334, 214, 130, 78, 46, 26, 14)(9, 18, 32, 55, 92, 152, 247, 308, 195, 119, 196, 309, 233, 143, 86, 51, 29, 16)(12, 23, 41, 69, 115, 189, 299, 403, 461, 391, 322, 417, 312, 198, 120, 72, 42, 24)(19, 34, 58, 97, 160, 258, 327, 209, 127, 77, 128, 210, 328, 257, 159, 96, 57, 33)(22, 39, 67, 111, 183, 290, 396, 351, 446, 460, 409, 469, 402, 298, 188, 114, 68, 40)(28, 49, 83, 137, 224, 344, 386, 283, 390, 376, 256, 291, 397, 350, 228, 140, 84, 50)(30, 52, 87, 144, 234, 356, 387, 352, 230, 142, 231, 353, 426, 323, 206, 125, 75, 44)(35, 60, 100, 165, 264, 361, 238, 146, 88, 53, 89, 147, 239, 300, 263, 164, 99, 59)(38, 65, 109, 179, 285, 232, 354, 240, 363, 451, 467, 438, 343, 221, 139, 182, 110, 66)(45, 76, 126, 207, 153, 249, 364, 241, 148, 90, 149, 242, 365, 410, 306, 193, 117, 70)(48, 81, 135, 220, 341, 425, 326, 208, 325, 428, 480, 452, 477, 421, 320, 223, 136, 82)(56, 94, 156, 252, 372, 389, 282, 181, 288, 394, 302, 190, 301, 405, 375, 254, 157, 95)(61, 102, 168, 268, 382, 444, 348, 226, 138, 85, 141, 229, 316, 200, 315, 267, 167, 101)(64, 107, 177, 281, 243, 150, 244, 329, 431, 482, 456, 479, 424, 319, 205, 284, 178, 108)(71, 118, 194, 134, 80, 133, 219, 330, 211, 129, 212, 166, 266, 380, 400, 294, 185, 112)(74, 123, 203, 318, 422, 474, 412, 307, 411, 475, 440, 345, 439, 470, 408, 321, 204, 124)(93, 154, 250, 371, 434, 349, 237, 145, 236, 359, 448, 463, 436, 340, 222, 276, 251, 155)(98, 162, 261, 377, 393, 287, 180, 113, 186, 295, 202, 122, 201, 317, 414, 310, 197, 163)(103, 170, 270, 286, 392, 462, 455, 374, 253, 158, 255, 339, 218, 132, 217, 338, 269, 169)(106, 175, 279, 265, 331, 213, 332, 413, 476, 454, 373, 453, 473, 407, 305, 388, 280, 176)(116, 191, 303, 406, 471, 458, 381, 401, 335, 435, 358, 235, 357, 445, 384, 273, 304, 192)(161, 259, 311, 415, 368, 442, 347, 225, 346, 441, 466, 399, 459, 385, 278, 174, 277, 260)(171, 272, 293, 184, 292, 398, 465, 457, 378, 262, 379, 418, 370, 248, 324, 427, 383, 271)(216, 336, 404, 362, 447, 355, 432, 333, 433, 468, 423, 478, 485, 483, 443, 481, 429, 337)(245, 367, 416, 342, 437, 472, 486, 484, 449, 360, 450, 369, 420, 314, 419, 464, 430, 366)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 13)(10, 19)(11, 22)(14, 23)(15, 28)(17, 30)(18, 33)(20, 35)(21, 38)(24, 39)(25, 44)(26, 45)(27, 48)(29, 49)(31, 53)(32, 56)(34, 59)(36, 61)(37, 64)(40, 65)(41, 70)(42, 71)(43, 74)(46, 77)(47, 80)(50, 81)(51, 85)(52, 88)(54, 90)(55, 93)(57, 94)(58, 98)(60, 101)(62, 103)(63, 106)(66, 107)(67, 112)(68, 113)(69, 116)(72, 119)(73, 122)(75, 123)(76, 127)(78, 129)(79, 132)(82, 133)(83, 138)(84, 139)(86, 142)(87, 145)(89, 148)(91, 150)(92, 153)(95, 154)(96, 158)(97, 161)(99, 162)(100, 166)(102, 169)(104, 171)(105, 174)(108, 175)(109, 180)(110, 181)(111, 184)(114, 187)(115, 190)(117, 191)(118, 195)(120, 197)(121, 200)(124, 201)(125, 205)(126, 208)(128, 211)(130, 213)(131, 216)(134, 217)(135, 221)(136, 222)(137, 225)(140, 227)(141, 230)(143, 232)(144, 235)(146, 236)(147, 240)(149, 243)(151, 245)(152, 248)(155, 249)(156, 253)(157, 188)(159, 256)(160, 234)(163, 259)(164, 262)(165, 265)(167, 266)(168, 242)(170, 271)(172, 273)(173, 276)(176, 277)(177, 282)(178, 283)(179, 286)(182, 289)(183, 291)(185, 292)(186, 296)(189, 300)(192, 301)(193, 305)(194, 307)(196, 310)(198, 311)(199, 314)(202, 315)(203, 319)(204, 320)(206, 322)(207, 324)(209, 325)(210, 329)(212, 331)(214, 333)(215, 335)(218, 336)(219, 340)(220, 342)(223, 275)(224, 345)(226, 346)(228, 349)(229, 351)(231, 285)(233, 355)(237, 357)(238, 360)(239, 362)(241, 363)(244, 366)(246, 368)(247, 369)(250, 298)(251, 278)(252, 373)(254, 297)(255, 376)(257, 290)(258, 358)(260, 356)(261, 378)(263, 302)(264, 344)(267, 381)(268, 281)(269, 365)(270, 353)(272, 384)(274, 321)(279, 386)(280, 387)(284, 391)(287, 392)(288, 395)(293, 397)(294, 399)(295, 401)(299, 404)(303, 407)(304, 408)(306, 409)(308, 411)(309, 413)(312, 416)(313, 418)(316, 419)(317, 421)(318, 423)(323, 425)(326, 427)(327, 429)(328, 430)(330, 431)(332, 432)(334, 434)(337, 435)(338, 412)(339, 403)(341, 417)(343, 437)(347, 439)(348, 443)(350, 445)(352, 446)(354, 447)(359, 449)(361, 440)(364, 385)(367, 415)(370, 420)(371, 433)(372, 452)(374, 453)(375, 442)(377, 456)(379, 394)(380, 458)(382, 389)(383, 426)(388, 460)(390, 461)(393, 463)(396, 464)(398, 466)(400, 467)(402, 468)(405, 470)(406, 472)(410, 474)(414, 476)(422, 469)(424, 478)(428, 481)(436, 482)(438, 471)(441, 483)(444, 480)(448, 462)(450, 475)(451, 459)(454, 477)(455, 484)(457, 479)(465, 485)(473, 486)
	local type(s) :: { ( 3^18 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 27 e = 243 f = 162
	degree seq :: [ 18^27 ]

E28.3308 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 3, 18})
Quotient :: halfedge
Aut^+ = ((C9 : C9) : C3) : C2 (small group id <486, 39>)
Aut   = ((C9 : C9) : C3) : C2 (small group id <486, 39>)
|r| :: 1
Presentation :: [ X2^2, X1^3, (X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2 * X1^-1)^3, X2 * X1^-1 * X2 * X1 * X2 * X1 * X2 * X1 * X2 * X1 * X2 * X1^-1 * X2 * X1^-1 * X2 * X1^-1 * X2 * X1^-1 * X2 * X1 * X2 * X1 * X2 * X1^-1, X2 * X1 * X2 * X1^-1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1, X2 * X1 * X2 * X1 * X2 * X1 * X2 * X1 * X2 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2 * X1^-1 * X2 * X1^-1 * X2 * X1^-1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1, (X1^-1 * X2)^18 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 4)(3, 6, 7)(5, 9, 10)(8, 13, 14)(11, 17, 18)(12, 19, 20)(15, 23, 24)(16, 25, 26)(21, 31, 32)(22, 33, 34)(27, 39, 40)(28, 41, 42)(29, 43, 44)(30, 45, 46)(35, 51, 52)(36, 53, 54)(37, 55, 56)(38, 57, 58)(47, 67, 68)(48, 69, 70)(49, 71, 72)(50, 73, 74)(59, 83, 84)(60, 85, 86)(61, 87, 88)(62, 89, 90)(63, 91, 92)(64, 93, 94)(65, 95, 96)(66, 97, 98)(75, 107, 108)(76, 109, 110)(77, 111, 112)(78, 113, 114)(79, 115, 116)(80, 117, 118)(81, 119, 120)(82, 121, 122)(99, 139, 140)(100, 141, 142)(101, 143, 144)(102, 145, 146)(103, 147, 148)(104, 149, 150)(105, 151, 152)(106, 153, 154)(123, 260, 216)(124, 203, 375)(125, 235, 239)(126, 257, 221)(127, 262, 378)(128, 264, 426)(129, 266, 428)(130, 267, 170)(131, 268, 369)(132, 166, 316)(133, 270, 431)(134, 272, 228)(135, 274, 435)(136, 276, 439)(137, 244, 350)(138, 278, 158)(155, 258, 295)(156, 294, 297)(157, 298, 299)(159, 301, 302)(160, 300, 304)(161, 305, 306)(162, 271, 309)(163, 310, 250)(164, 311, 312)(165, 296, 315)(167, 317, 319)(168, 232, 322)(169, 303, 254)(171, 326, 224)(172, 327, 329)(173, 201, 332)(174, 307, 291)(175, 222, 336)(176, 337, 339)(177, 340, 207)(178, 341, 334)(179, 213, 345)(180, 313, 226)(181, 248, 348)(182, 349, 351)(183, 352, 185)(184, 325, 347)(186, 320, 356)(187, 198, 333)(188, 261, 358)(189, 323, 209)(190, 360, 361)(191, 362, 277)(192, 265, 194)(193, 335, 324)(195, 330, 366)(196, 211, 346)(197, 318, 368)(199, 370, 371)(200, 372, 373)(202, 259, 359)(204, 281, 236)(205, 215, 217)(206, 280, 314)(208, 343, 377)(210, 328, 381)(212, 383, 273)(214, 385, 240)(218, 354, 243)(219, 229, 286)(220, 338, 252)(223, 391, 392)(225, 284, 363)(227, 342, 396)(230, 382, 233)(231, 399, 400)(234, 402, 282)(237, 238, 308)(241, 364, 283)(242, 293, 246)(245, 408, 409)(247, 412, 413)(249, 414, 415)(251, 417, 418)(253, 419, 256)(255, 353, 422)(263, 425, 384)(269, 430, 406)(275, 436, 438)(279, 394, 321)(285, 443, 444)(287, 447, 448)(288, 449, 437)(289, 450, 451)(290, 452, 292)(331, 424, 420)(344, 454, 453)(355, 458, 470)(357, 459, 473)(365, 460, 462)(367, 433, 477)(374, 441, 407)(376, 387, 432)(379, 463, 465)(380, 456, 480)(386, 404, 485)(388, 466, 457)(389, 401, 405)(390, 484, 429)(393, 467, 442)(395, 461, 445)(397, 486, 403)(398, 471, 440)(410, 421, 468)(411, 482, 478)(416, 434, 475)(423, 474, 455)(427, 464, 469)(446, 483, 481)(472, 476, 479)
	L = (1, 3)(2, 5)(4, 8)(6, 11)(7, 12)(9, 15)(10, 16)(13, 21)(14, 22)(17, 27)(18, 28)(19, 29)(20, 30)(23, 35)(24, 36)(25, 37)(26, 38)(31, 47)(32, 48)(33, 49)(34, 50)(39, 59)(40, 60)(41, 61)(42, 62)(43, 63)(44, 64)(45, 65)(46, 66)(51, 75)(52, 76)(53, 77)(54, 78)(55, 79)(56, 80)(57, 81)(58, 82)(67, 99)(68, 100)(69, 101)(70, 102)(71, 103)(72, 104)(73, 105)(74, 106)(83, 123)(84, 124)(85, 125)(86, 126)(87, 127)(88, 128)(89, 129)(90, 130)(91, 131)(92, 132)(93, 133)(94, 134)(95, 135)(96, 136)(97, 137)(98, 138)(107, 238)(108, 240)(109, 236)(110, 242)(111, 243)(112, 245)(113, 247)(114, 222)(115, 233)(116, 224)(117, 251)(118, 253)(119, 255)(120, 231)(121, 225)(122, 258)(139, 280)(140, 282)(141, 205)(142, 219)(143, 283)(144, 285)(145, 287)(146, 248)(147, 202)(148, 250)(149, 289)(150, 290)(151, 227)(152, 200)(153, 252)(154, 294)(155, 271)(156, 296)(157, 232)(158, 300)(159, 201)(160, 303)(161, 213)(162, 307)(163, 183)(164, 261)(165, 313)(166, 192)(167, 318)(168, 320)(169, 323)(170, 298)(171, 177)(172, 328)(173, 330)(174, 333)(175, 301)(176, 338)(178, 342)(179, 343)(180, 346)(181, 305)(182, 350)(184, 274)(185, 354)(186, 336)(187, 310)(188, 284)(189, 286)(190, 311)(191, 363)(193, 353)(194, 364)(195, 348)(196, 316)(197, 220)(198, 221)(199, 317)(203, 277)(204, 377)(206, 374)(207, 378)(208, 267)(209, 326)(210, 244)(211, 246)(212, 327)(214, 339)(215, 356)(216, 384)(217, 387)(218, 361)(223, 337)(226, 340)(228, 360)(229, 398)(230, 341)(234, 351)(235, 366)(237, 401)(239, 404)(241, 371)(249, 349)(254, 352)(256, 370)(257, 423)(259, 325)(260, 394)(262, 273)(263, 319)(264, 427)(265, 291)(266, 407)(268, 335)(269, 428)(270, 432)(272, 434)(275, 373)(276, 411)(278, 368)(279, 433)(281, 397)(288, 362)(292, 383)(293, 388)(295, 381)(297, 358)(299, 396)(302, 435)(304, 345)(306, 422)(308, 420)(309, 322)(312, 441)(314, 453)(315, 332)(321, 470)(324, 473)(329, 405)(331, 462)(334, 477)(344, 465)(347, 480)(355, 457)(357, 442)(359, 445)(365, 440)(367, 475)(369, 438)(372, 390)(375, 471)(376, 392)(379, 455)(380, 406)(382, 410)(385, 474)(386, 415)(389, 447)(391, 483)(393, 413)(395, 400)(399, 446)(402, 466)(403, 437)(408, 464)(409, 429)(412, 425)(414, 484)(416, 448)(417, 485)(418, 479)(419, 430)(421, 439)(424, 456)(426, 481)(431, 476)(436, 460)(443, 469)(444, 478)(449, 482)(450, 486)(451, 472)(452, 467)(454, 459)(458, 461)(463, 468)
	local type(s) :: { ( 18^3 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 162 e = 243 f = 27
	degree seq :: [ 3^162 ]

E28.3309 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 3, 18})
Quotient :: edge
Aut^+ = ((C9 : C9) : C3) : C2 (small group id <486, 39>)
Aut   = ((C9 : C9) : C3) : C2 (small group id <486, 39>)
|r| :: 1
Presentation :: [ X1^2, X2^3, (X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2^-1)^3, X1 * X2^-1 * X1 * X2 * X1 * X2 * X1 * X2 * X1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1 * X2 * X1 * X2^-1, X1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2 * X1 * X2 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1, (X2^-1 * X1)^18 ]
Map:: polytopal
	R = (1, 2)(3, 7)(4, 8)(5, 9)(6, 10)(11, 19)(12, 20)(13, 21)(14, 22)(15, 23)(16, 24)(17, 25)(18, 26)(27, 43)(28, 44)(29, 45)(30, 46)(31, 47)(32, 48)(33, 49)(34, 50)(35, 51)(36, 52)(37, 53)(38, 54)(39, 55)(40, 56)(41, 57)(42, 58)(59, 91)(60, 92)(61, 93)(62, 94)(63, 95)(64, 96)(65, 97)(66, 98)(67, 99)(68, 100)(69, 101)(70, 102)(71, 103)(72, 104)(73, 105)(74, 106)(75, 107)(76, 108)(77, 109)(78, 110)(79, 111)(80, 112)(81, 113)(82, 114)(83, 115)(84, 116)(85, 117)(86, 118)(87, 119)(88, 120)(89, 121)(90, 122)(123, 256)(124, 225)(125, 258)(126, 260)(127, 261)(128, 263)(129, 265)(130, 266)(131, 268)(132, 162)(133, 208)(134, 211)(135, 231)(136, 273)(137, 275)(138, 212)(139, 215)(140, 232)(141, 277)(142, 279)(143, 280)(144, 281)(145, 220)(146, 282)(147, 284)(148, 169)(149, 257)(150, 262)(151, 196)(152, 288)(153, 290)(154, 264)(155, 291)(156, 294)(157, 298)(158, 300)(159, 303)(160, 307)(161, 311)(163, 317)(164, 321)(165, 323)(166, 327)(167, 328)(168, 330)(170, 248)(171, 316)(172, 338)(173, 228)(174, 309)(175, 344)(176, 345)(177, 347)(178, 350)(179, 351)(180, 353)(181, 286)(182, 276)(183, 357)(184, 359)(185, 361)(186, 365)(187, 193)(188, 313)(189, 370)(190, 222)(191, 296)(192, 373)(194, 319)(195, 371)(197, 292)(198, 217)(199, 209)(200, 379)(201, 381)(202, 382)(203, 271)(204, 245)(205, 387)(206, 389)(207, 250)(210, 364)(213, 396)(214, 399)(216, 326)(218, 403)(219, 406)(221, 409)(223, 334)(224, 341)(226, 299)(227, 415)(229, 336)(230, 367)(233, 301)(234, 421)(235, 412)(236, 304)(237, 425)(238, 414)(239, 340)(240, 416)(241, 335)(242, 253)(243, 422)(244, 433)(246, 435)(247, 295)(249, 436)(251, 342)(252, 378)(254, 434)(255, 305)(259, 384)(267, 451)(269, 455)(270, 306)(272, 431)(274, 458)(278, 392)(283, 440)(285, 322)(287, 463)(289, 438)(293, 429)(297, 411)(302, 402)(308, 315)(310, 417)(312, 333)(314, 375)(318, 339)(320, 369)(324, 418)(325, 360)(329, 349)(331, 439)(332, 352)(337, 343)(346, 355)(348, 426)(354, 427)(356, 363)(358, 457)(362, 468)(366, 446)(368, 394)(372, 448)(374, 447)(376, 460)(377, 477)(380, 465)(383, 469)(385, 476)(386, 391)(388, 405)(390, 470)(393, 467)(395, 456)(397, 437)(398, 424)(400, 475)(401, 408)(404, 428)(407, 466)(410, 461)(413, 484)(419, 430)(420, 445)(423, 480)(432, 444)(441, 482)(442, 473)(443, 450)(449, 464)(452, 472)(453, 483)(454, 459)(462, 474)(471, 485)(478, 486)(479, 481)(487, 489, 490)(488, 491, 492)(493, 497, 498)(494, 499, 500)(495, 501, 502)(496, 503, 504)(505, 513, 514)(506, 515, 516)(507, 517, 518)(508, 519, 520)(509, 521, 522)(510, 523, 524)(511, 525, 526)(512, 527, 528)(529, 545, 546)(530, 547, 548)(531, 549, 550)(532, 551, 552)(533, 553, 554)(534, 555, 556)(535, 557, 558)(536, 559, 560)(537, 561, 562)(538, 563, 564)(539, 565, 566)(540, 567, 568)(541, 569, 570)(542, 571, 572)(543, 573, 574)(544, 575, 576)(577, 609, 610)(578, 611, 612)(579, 613, 614)(580, 615, 616)(581, 617, 618)(582, 619, 620)(583, 621, 622)(584, 623, 624)(585, 625, 626)(586, 627, 628)(587, 629, 630)(588, 631, 632)(589, 633, 634)(590, 635, 636)(591, 637, 638)(592, 639, 640)(593, 720, 908)(594, 722, 909)(595, 723, 643)(596, 724, 854)(597, 726, 793)(598, 703, 865)(599, 728, 696)(600, 730, 867)(601, 731, 920)(602, 733, 760)(603, 735, 652)(604, 736, 914)(605, 738, 824)(606, 663, 834)(607, 708, 702)(608, 716, 712)(641, 763, 779)(642, 781, 783)(644, 744, 788)(645, 790, 792)(646, 794, 796)(647, 798, 800)(648, 801, 775)(649, 804, 806)(650, 721, 808)(651, 810, 812)(653, 707, 815)(654, 817, 774)(655, 819, 705)(656, 811, 821)(657, 791, 823)(658, 825, 692)(659, 818, 827)(660, 787, 829)(661, 694, 700)(662, 713, 832)(664, 743, 755)(665, 678, 838)(666, 840, 759)(667, 684, 689)(668, 732, 842)(669, 833, 844)(670, 672, 846)(671, 848, 850)(673, 835, 853)(674, 778, 855)(675, 741, 687)(676, 841, 857)(677, 785, 727)(679, 771, 776)(680, 782, 861)(681, 719, 698)(682, 849, 856)(683, 750, 710)(685, 863, 864)(686, 839, 866)(688, 869, 870)(690, 871, 872)(691, 816, 874)(693, 876, 878)(695, 879, 770)(697, 847, 881)(699, 883, 884)(701, 886, 887)(704, 809, 891)(706, 893, 764)(709, 795, 897)(711, 898, 899)(714, 756, 761)(715, 799, 903)(717, 877, 851)(718, 904, 905)(725, 802, 915)(729, 895, 918)(734, 888, 919)(737, 805, 924)(739, 894, 859)(740, 925, 926)(742, 928, 929)(745, 751, 930)(746, 931, 858)(747, 933, 797)(748, 868, 935)(749, 757, 873)(752, 826, 875)(753, 938, 939)(754, 762, 940)(758, 789, 943)(765, 946, 828)(766, 947, 780)(767, 772, 843)(768, 852, 845)(769, 948, 927)(773, 807, 951)(777, 922, 949)(784, 885, 889)(786, 941, 917)(803, 911, 932)(813, 830, 836)(814, 942, 896)(820, 892, 880)(822, 944, 934)(831, 950, 902)(837, 890, 860)(862, 966, 968)(882, 945, 912)(900, 970, 910)(901, 952, 936)(906, 916, 969)(907, 958, 957)(913, 937, 953)(921, 956, 971)(923, 965, 961)(954, 972, 963)(955, 967, 962)(959, 960, 964)
	L = (1, 487)(2, 488)(3, 489)(4, 490)(5, 491)(6, 492)(7, 493)(8, 494)(9, 495)(10, 496)(11, 497)(12, 498)(13, 499)(14, 500)(15, 501)(16, 502)(17, 503)(18, 504)(19, 505)(20, 506)(21, 507)(22, 508)(23, 509)(24, 510)(25, 511)(26, 512)(27, 513)(28, 514)(29, 515)(30, 516)(31, 517)(32, 518)(33, 519)(34, 520)(35, 521)(36, 522)(37, 523)(38, 524)(39, 525)(40, 526)(41, 527)(42, 528)(43, 529)(44, 530)(45, 531)(46, 532)(47, 533)(48, 534)(49, 535)(50, 536)(51, 537)(52, 538)(53, 539)(54, 540)(55, 541)(56, 542)(57, 543)(58, 544)(59, 545)(60, 546)(61, 547)(62, 548)(63, 549)(64, 550)(65, 551)(66, 552)(67, 553)(68, 554)(69, 555)(70, 556)(71, 557)(72, 558)(73, 559)(74, 560)(75, 561)(76, 562)(77, 563)(78, 564)(79, 565)(80, 566)(81, 567)(82, 568)(83, 569)(84, 570)(85, 571)(86, 572)(87, 573)(88, 574)(89, 575)(90, 576)(91, 577)(92, 578)(93, 579)(94, 580)(95, 581)(96, 582)(97, 583)(98, 584)(99, 585)(100, 586)(101, 587)(102, 588)(103, 589)(104, 590)(105, 591)(106, 592)(107, 593)(108, 594)(109, 595)(110, 596)(111, 597)(112, 598)(113, 599)(114, 600)(115, 601)(116, 602)(117, 603)(118, 604)(119, 605)(120, 606)(121, 607)(122, 608)(123, 609)(124, 610)(125, 611)(126, 612)(127, 613)(128, 614)(129, 615)(130, 616)(131, 617)(132, 618)(133, 619)(134, 620)(135, 621)(136, 622)(137, 623)(138, 624)(139, 625)(140, 626)(141, 627)(142, 628)(143, 629)(144, 630)(145, 631)(146, 632)(147, 633)(148, 634)(149, 635)(150, 636)(151, 637)(152, 638)(153, 639)(154, 640)(155, 641)(156, 642)(157, 643)(158, 644)(159, 645)(160, 646)(161, 647)(162, 648)(163, 649)(164, 650)(165, 651)(166, 652)(167, 653)(168, 654)(169, 655)(170, 656)(171, 657)(172, 658)(173, 659)(174, 660)(175, 661)(176, 662)(177, 663)(178, 664)(179, 665)(180, 666)(181, 667)(182, 668)(183, 669)(184, 670)(185, 671)(186, 672)(187, 673)(188, 674)(189, 675)(190, 676)(191, 677)(192, 678)(193, 679)(194, 680)(195, 681)(196, 682)(197, 683)(198, 684)(199, 685)(200, 686)(201, 687)(202, 688)(203, 689)(204, 690)(205, 691)(206, 692)(207, 693)(208, 694)(209, 695)(210, 696)(211, 697)(212, 698)(213, 699)(214, 700)(215, 701)(216, 702)(217, 703)(218, 704)(219, 705)(220, 706)(221, 707)(222, 708)(223, 709)(224, 710)(225, 711)(226, 712)(227, 713)(228, 714)(229, 715)(230, 716)(231, 717)(232, 718)(233, 719)(234, 720)(235, 721)(236, 722)(237, 723)(238, 724)(239, 725)(240, 726)(241, 727)(242, 728)(243, 729)(244, 730)(245, 731)(246, 732)(247, 733)(248, 734)(249, 735)(250, 736)(251, 737)(252, 738)(253, 739)(254, 740)(255, 741)(256, 742)(257, 743)(258, 744)(259, 745)(260, 746)(261, 747)(262, 748)(263, 749)(264, 750)(265, 751)(266, 752)(267, 753)(268, 754)(269, 755)(270, 756)(271, 757)(272, 758)(273, 759)(274, 760)(275, 761)(276, 762)(277, 763)(278, 764)(279, 765)(280, 766)(281, 767)(282, 768)(283, 769)(284, 770)(285, 771)(286, 772)(287, 773)(288, 774)(289, 775)(290, 776)(291, 777)(292, 778)(293, 779)(294, 780)(295, 781)(296, 782)(297, 783)(298, 784)(299, 785)(300, 786)(301, 787)(302, 788)(303, 789)(304, 790)(305, 791)(306, 792)(307, 793)(308, 794)(309, 795)(310, 796)(311, 797)(312, 798)(313, 799)(314, 800)(315, 801)(316, 802)(317, 803)(318, 804)(319, 805)(320, 806)(321, 807)(322, 808)(323, 809)(324, 810)(325, 811)(326, 812)(327, 813)(328, 814)(329, 815)(330, 816)(331, 817)(332, 818)(333, 819)(334, 820)(335, 821)(336, 822)(337, 823)(338, 824)(339, 825)(340, 826)(341, 827)(342, 828)(343, 829)(344, 830)(345, 831)(346, 832)(347, 833)(348, 834)(349, 835)(350, 836)(351, 837)(352, 838)(353, 839)(354, 840)(355, 841)(356, 842)(357, 843)(358, 844)(359, 845)(360, 846)(361, 847)(362, 848)(363, 849)(364, 850)(365, 851)(366, 852)(367, 853)(368, 854)(369, 855)(370, 856)(371, 857)(372, 858)(373, 859)(374, 860)(375, 861)(376, 862)(377, 863)(378, 864)(379, 865)(380, 866)(381, 867)(382, 868)(383, 869)(384, 870)(385, 871)(386, 872)(387, 873)(388, 874)(389, 875)(390, 876)(391, 877)(392, 878)(393, 879)(394, 880)(395, 881)(396, 882)(397, 883)(398, 884)(399, 885)(400, 886)(401, 887)(402, 888)(403, 889)(404, 890)(405, 891)(406, 892)(407, 893)(408, 894)(409, 895)(410, 896)(411, 897)(412, 898)(413, 899)(414, 900)(415, 901)(416, 902)(417, 903)(418, 904)(419, 905)(420, 906)(421, 907)(422, 908)(423, 909)(424, 910)(425, 911)(426, 912)(427, 913)(428, 914)(429, 915)(430, 916)(431, 917)(432, 918)(433, 919)(434, 920)(435, 921)(436, 922)(437, 923)(438, 924)(439, 925)(440, 926)(441, 927)(442, 928)(443, 929)(444, 930)(445, 931)(446, 932)(447, 933)(448, 934)(449, 935)(450, 936)(451, 937)(452, 938)(453, 939)(454, 940)(455, 941)(456, 942)(457, 943)(458, 944)(459, 945)(460, 946)(461, 947)(462, 948)(463, 949)(464, 950)(465, 951)(466, 952)(467, 953)(468, 954)(469, 955)(470, 956)(471, 957)(472, 958)(473, 959)(474, 960)(475, 961)(476, 962)(477, 963)(478, 964)(479, 965)(480, 966)(481, 967)(482, 968)(483, 969)(484, 970)(485, 971)(486, 972)
	local type(s) :: { ( 36, 36 ), ( 36^3 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 405 e = 486 f = 27
	degree seq :: [ 2^243, 3^162 ]

E28.3310 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 3, 18})
Quotient :: edge
Aut^+ = ((C9 : C9) : C3) : C2 (small group id <486, 39>)
Aut   = ((C9 : C9) : C3) : C2 (small group id <486, 39>)
|r| :: 1
Presentation :: [ X1^3, (X2^-1 * X1^-1)^2, (X2^4 * X1^-1)^3, X1^-1 * X2^3 * X1 * X2^-4 * X1^-1 * X2^4 * X1^-1 * X2, X1^-1 * X2^-5 * X1^-1 * X2^4 * X1^-1 * X2 * X1^-1 * X2^2, X1^-1 * X2 * X1^-1 * X2^-5 * X1 * X2^-1 * X1^-1 * X2^2 * X1^-1 * X2^-3, X2^5 * X1^-1 * X2^-2 * X1 * X2^-6 * X1^-1 * X2 * X1^-1, X2 * X1^-1 * X2^2 * X1^-1 * X2^2 * X1^-1 * X2^-2 * X1 * X2^-2 * X1 * X2^-3 * X1^-1, X2 * X1^-1 * X2^-2 * X1 * X2^2 * X1^-1 * X2^2 * X1^-1 * X2^3 * X1^-1 * X2^2 * X1^-1, X2^18 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 4)(3, 8, 10)(5, 12, 6)(7, 15, 11)(9, 18, 20)(13, 25, 23)(14, 24, 28)(16, 31, 29)(17, 33, 21)(19, 36, 38)(22, 30, 42)(26, 47, 45)(27, 49, 51)(32, 57, 55)(34, 61, 59)(35, 63, 39)(37, 66, 68)(40, 60, 72)(41, 73, 75)(43, 46, 78)(44, 79, 52)(48, 85, 83)(50, 88, 90)(53, 56, 94)(54, 95, 76)(58, 101, 99)(62, 107, 105)(64, 111, 109)(65, 113, 69)(67, 116, 118)(70, 110, 122)(71, 123, 125)(74, 128, 130)(77, 133, 135)(80, 139, 137)(81, 84, 142)(82, 143, 136)(86, 149, 147)(87, 151, 91)(89, 154, 156)(92, 138, 160)(93, 161, 163)(96, 167, 165)(97, 100, 170)(98, 171, 164)(102, 177, 175)(103, 106, 180)(104, 181, 126)(108, 187, 185)(112, 193, 191)(114, 197, 195)(115, 199, 119)(117, 202, 204)(120, 196, 208)(121, 209, 211)(124, 214, 216)(127, 219, 131)(129, 222, 224)(132, 166, 228)(134, 230, 232)(140, 239, 237)(141, 241, 243)(144, 247, 245)(145, 148, 250)(146, 251, 244)(150, 257, 255)(152, 261, 259)(153, 263, 157)(155, 266, 268)(158, 260, 272)(159, 273, 275)(162, 278, 280)(168, 287, 285)(169, 289, 291)(172, 295, 293)(173, 176, 298)(174, 299, 292)(178, 304, 302)(179, 306, 308)(182, 312, 310)(183, 186, 315)(184, 316, 309)(188, 321, 319)(189, 192, 324)(190, 325, 212)(194, 330, 262)(198, 288, 334)(200, 269, 265)(201, 338, 205)(203, 341, 343)(206, 336, 346)(207, 347, 348)(210, 351, 248)(213, 355, 217)(215, 357, 359)(218, 311, 362)(220, 365, 363)(221, 339, 225)(223, 368, 370)(226, 364, 372)(227, 373, 375)(229, 377, 233)(231, 332, 335)(234, 246, 382)(235, 238, 384)(236, 385, 276)(240, 388, 366)(242, 390, 323)(249, 397, 398)(252, 356, 400)(253, 256, 402)(254, 403, 399)(258, 408, 406)(264, 371, 367)(267, 415, 417)(270, 413, 419)(271, 420, 421)(274, 424, 296)(277, 428, 281)(279, 410, 412)(282, 294, 433)(283, 286, 435)(284, 436, 376)(290, 342, 383)(297, 445, 391)(300, 378, 446)(301, 303, 448)(305, 453, 451)(307, 416, 434)(313, 374, 457)(314, 460, 409)(317, 429, 461)(318, 320, 463)(322, 467, 465)(326, 440, 447)(327, 329, 470)(328, 441, 443)(331, 449, 452)(333, 432, 349)(337, 459, 405)(340, 430, 344)(345, 425, 444)(350, 431, 353)(352, 396, 450)(354, 427, 475)(358, 418, 414)(360, 426, 423)(361, 422, 411)(369, 479, 468)(379, 472, 478)(380, 482, 481)(381, 480, 477)(386, 454, 462)(387, 455, 458)(389, 464, 466)(392, 401, 437)(393, 395, 438)(394, 442, 456)(404, 407, 439)(469, 476, 483)(471, 485, 484)(473, 486, 474)(487, 489, 495, 505, 523, 553, 603, 689, 828, 777, 895, 744, 636, 572, 534, 512, 499, 491)(488, 492, 500, 513, 536, 575, 641, 753, 902, 794, 884, 791, 664, 588, 544, 518, 502, 493)(490, 497, 508, 527, 560, 615, 709, 855, 876, 729, 877, 808, 674, 594, 548, 520, 503, 494)(496, 507, 526, 557, 610, 701, 844, 864, 716, 621, 719, 866, 817, 680, 598, 550, 521, 504)(498, 509, 529, 563, 620, 717, 865, 915, 764, 649, 767, 917, 875, 726, 626, 566, 530, 510)(501, 515, 539, 579, 648, 765, 916, 842, 700, 611, 703, 846, 925, 774, 654, 582, 540, 516)(506, 525, 556, 607, 696, 838, 750, 639, 574, 537, 577, 644, 757, 773, 684, 600, 551, 522)(511, 531, 567, 627, 728, 810, 929, 781, 910, 761, 912, 841, 934, 882, 734, 630, 568, 532)(514, 538, 578, 645, 760, 911, 824, 707, 614, 561, 617, 712, 815, 679, 748, 638, 573, 535)(517, 541, 583, 655, 776, 870, 944, 798, 943, 861, 968, 863, 949, 930, 782, 658, 584, 542)(519, 545, 589, 665, 793, 921, 881, 733, 837, 697, 839, 914, 888, 945, 799, 668, 590, 546)(524, 555, 606, 693, 725, 852, 706, 613, 559, 528, 562, 618, 713, 860, 823, 686, 601, 552)(533, 569, 631, 735, 792, 666, 795, 940, 972, 963, 850, 705, 849, 843, 702, 738, 632, 570)(543, 585, 659, 783, 727, 628, 730, 878, 957, 819, 682, 599, 681, 818, 718, 786, 660, 586)(547, 591, 669, 800, 775, 656, 778, 926, 969, 897, 746, 637, 745, 896, 766, 803, 670, 592)(549, 595, 675, 809, 954, 873, 724, 625, 723, 834, 939, 883, 736, 885, 955, 812, 676, 596)(554, 605, 692, 662, 587, 661, 787, 699, 609, 558, 612, 704, 847, 962, 889, 825, 687, 602)(564, 622, 720, 867, 959, 822, 685, 751, 640, 576, 643, 756, 672, 593, 671, 804, 715, 619)(565, 623, 721, 869, 829, 924, 772, 653, 771, 907, 953, 931, 784, 832, 960, 872, 722, 624)(571, 633, 739, 763, 647, 580, 650, 768, 918, 970, 899, 749, 853, 708, 616, 711, 740, 634)(581, 651, 769, 920, 903, 814, 678, 597, 677, 813, 894, 946, 801, 905, 971, 923, 770, 652)(604, 691, 831, 806, 673, 805, 950, 836, 695, 608, 698, 840, 922, 887, 737, 886, 826, 688)(629, 731, 879, 827, 690, 830, 898, 747, 816, 938, 790, 937, 833, 694, 835, 919, 880, 732)(635, 741, 890, 909, 759, 646, 762, 913, 811, 933, 785, 932, 900, 752, 642, 755, 891, 742)(657, 779, 927, 901, 754, 904, 845, 851, 874, 952, 807, 951, 906, 758, 908, 848, 928, 780)(663, 788, 935, 967, 859, 714, 862, 961, 871, 948, 802, 947, 964, 854, 710, 857, 936, 789)(667, 796, 941, 965, 856, 958, 821, 683, 820, 893, 743, 892, 956, 858, 966, 868, 942, 797)
	L = (1, 487)(2, 488)(3, 489)(4, 490)(5, 491)(6, 492)(7, 493)(8, 494)(9, 495)(10, 496)(11, 497)(12, 498)(13, 499)(14, 500)(15, 501)(16, 502)(17, 503)(18, 504)(19, 505)(20, 506)(21, 507)(22, 508)(23, 509)(24, 510)(25, 511)(26, 512)(27, 513)(28, 514)(29, 515)(30, 516)(31, 517)(32, 518)(33, 519)(34, 520)(35, 521)(36, 522)(37, 523)(38, 524)(39, 525)(40, 526)(41, 527)(42, 528)(43, 529)(44, 530)(45, 531)(46, 532)(47, 533)(48, 534)(49, 535)(50, 536)(51, 537)(52, 538)(53, 539)(54, 540)(55, 541)(56, 542)(57, 543)(58, 544)(59, 545)(60, 546)(61, 547)(62, 548)(63, 549)(64, 550)(65, 551)(66, 552)(67, 553)(68, 554)(69, 555)(70, 556)(71, 557)(72, 558)(73, 559)(74, 560)(75, 561)(76, 562)(77, 563)(78, 564)(79, 565)(80, 566)(81, 567)(82, 568)(83, 569)(84, 570)(85, 571)(86, 572)(87, 573)(88, 574)(89, 575)(90, 576)(91, 577)(92, 578)(93, 579)(94, 580)(95, 581)(96, 582)(97, 583)(98, 584)(99, 585)(100, 586)(101, 587)(102, 588)(103, 589)(104, 590)(105, 591)(106, 592)(107, 593)(108, 594)(109, 595)(110, 596)(111, 597)(112, 598)(113, 599)(114, 600)(115, 601)(116, 602)(117, 603)(118, 604)(119, 605)(120, 606)(121, 607)(122, 608)(123, 609)(124, 610)(125, 611)(126, 612)(127, 613)(128, 614)(129, 615)(130, 616)(131, 617)(132, 618)(133, 619)(134, 620)(135, 621)(136, 622)(137, 623)(138, 624)(139, 625)(140, 626)(141, 627)(142, 628)(143, 629)(144, 630)(145, 631)(146, 632)(147, 633)(148, 634)(149, 635)(150, 636)(151, 637)(152, 638)(153, 639)(154, 640)(155, 641)(156, 642)(157, 643)(158, 644)(159, 645)(160, 646)(161, 647)(162, 648)(163, 649)(164, 650)(165, 651)(166, 652)(167, 653)(168, 654)(169, 655)(170, 656)(171, 657)(172, 658)(173, 659)(174, 660)(175, 661)(176, 662)(177, 663)(178, 664)(179, 665)(180, 666)(181, 667)(182, 668)(183, 669)(184, 670)(185, 671)(186, 672)(187, 673)(188, 674)(189, 675)(190, 676)(191, 677)(192, 678)(193, 679)(194, 680)(195, 681)(196, 682)(197, 683)(198, 684)(199, 685)(200, 686)(201, 687)(202, 688)(203, 689)(204, 690)(205, 691)(206, 692)(207, 693)(208, 694)(209, 695)(210, 696)(211, 697)(212, 698)(213, 699)(214, 700)(215, 701)(216, 702)(217, 703)(218, 704)(219, 705)(220, 706)(221, 707)(222, 708)(223, 709)(224, 710)(225, 711)(226, 712)(227, 713)(228, 714)(229, 715)(230, 716)(231, 717)(232, 718)(233, 719)(234, 720)(235, 721)(236, 722)(237, 723)(238, 724)(239, 725)(240, 726)(241, 727)(242, 728)(243, 729)(244, 730)(245, 731)(246, 732)(247, 733)(248, 734)(249, 735)(250, 736)(251, 737)(252, 738)(253, 739)(254, 740)(255, 741)(256, 742)(257, 743)(258, 744)(259, 745)(260, 746)(261, 747)(262, 748)(263, 749)(264, 750)(265, 751)(266, 752)(267, 753)(268, 754)(269, 755)(270, 756)(271, 757)(272, 758)(273, 759)(274, 760)(275, 761)(276, 762)(277, 763)(278, 764)(279, 765)(280, 766)(281, 767)(282, 768)(283, 769)(284, 770)(285, 771)(286, 772)(287, 773)(288, 774)(289, 775)(290, 776)(291, 777)(292, 778)(293, 779)(294, 780)(295, 781)(296, 782)(297, 783)(298, 784)(299, 785)(300, 786)(301, 787)(302, 788)(303, 789)(304, 790)(305, 791)(306, 792)(307, 793)(308, 794)(309, 795)(310, 796)(311, 797)(312, 798)(313, 799)(314, 800)(315, 801)(316, 802)(317, 803)(318, 804)(319, 805)(320, 806)(321, 807)(322, 808)(323, 809)(324, 810)(325, 811)(326, 812)(327, 813)(328, 814)(329, 815)(330, 816)(331, 817)(332, 818)(333, 819)(334, 820)(335, 821)(336, 822)(337, 823)(338, 824)(339, 825)(340, 826)(341, 827)(342, 828)(343, 829)(344, 830)(345, 831)(346, 832)(347, 833)(348, 834)(349, 835)(350, 836)(351, 837)(352, 838)(353, 839)(354, 840)(355, 841)(356, 842)(357, 843)(358, 844)(359, 845)(360, 846)(361, 847)(362, 848)(363, 849)(364, 850)(365, 851)(366, 852)(367, 853)(368, 854)(369, 855)(370, 856)(371, 857)(372, 858)(373, 859)(374, 860)(375, 861)(376, 862)(377, 863)(378, 864)(379, 865)(380, 866)(381, 867)(382, 868)(383, 869)(384, 870)(385, 871)(386, 872)(387, 873)(388, 874)(389, 875)(390, 876)(391, 877)(392, 878)(393, 879)(394, 880)(395, 881)(396, 882)(397, 883)(398, 884)(399, 885)(400, 886)(401, 887)(402, 888)(403, 889)(404, 890)(405, 891)(406, 892)(407, 893)(408, 894)(409, 895)(410, 896)(411, 897)(412, 898)(413, 899)(414, 900)(415, 901)(416, 902)(417, 903)(418, 904)(419, 905)(420, 906)(421, 907)(422, 908)(423, 909)(424, 910)(425, 911)(426, 912)(427, 913)(428, 914)(429, 915)(430, 916)(431, 917)(432, 918)(433, 919)(434, 920)(435, 921)(436, 922)(437, 923)(438, 924)(439, 925)(440, 926)(441, 927)(442, 928)(443, 929)(444, 930)(445, 931)(446, 932)(447, 933)(448, 934)(449, 935)(450, 936)(451, 937)(452, 938)(453, 939)(454, 940)(455, 941)(456, 942)(457, 943)(458, 944)(459, 945)(460, 946)(461, 947)(462, 948)(463, 949)(464, 950)(465, 951)(466, 952)(467, 953)(468, 954)(469, 955)(470, 956)(471, 957)(472, 958)(473, 959)(474, 960)(475, 961)(476, 962)(477, 963)(478, 964)(479, 965)(480, 966)(481, 967)(482, 968)(483, 969)(484, 970)(485, 971)(486, 972)
	local type(s) :: { ( 4^3 ), ( 4^18 ) }
Outer automorphisms :: chiral
Dual of E28.3312
Transitivity :: ET+
Graph:: simple bipartite
	v = 189 e = 486 f = 243
	degree seq :: [ 3^162, 18^27 ]

E28.3311 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 3, 18})
Quotient :: edge
Aut^+ = ((C9 : C9) : C3) : C2 (small group id <486, 39>)
Aut   = ((C9 : C9) : C3) : C2 (small group id <486, 39>)
|r| :: 1
Presentation :: [ X2^2, (X2 * X1)^3, X2 * X1^4 * X2 * X1^-4 * X2 * X1^2 * X2 * X1^-2, X1^3 * X2 * X1^-3 * X2 * X1^-9 * X2, (X2 * X1^3 * X2 * X1^-1)^3, X1^18 ]
Map:: polytopal
	R = (1, 2, 5, 11, 21, 37, 63, 105, 173, 275, 274, 172, 104, 62, 36, 20, 10, 4)(3, 7, 15, 27, 47, 79, 131, 215, 296, 187, 297, 246, 151, 91, 54, 31, 17, 8)(6, 13, 25, 43, 73, 121, 199, 313, 395, 289, 227, 334, 214, 130, 78, 46, 26, 14)(9, 18, 32, 55, 92, 152, 247, 308, 195, 119, 196, 309, 233, 143, 86, 51, 29, 16)(12, 23, 41, 69, 115, 189, 299, 403, 461, 391, 322, 417, 312, 198, 120, 72, 42, 24)(19, 34, 58, 97, 160, 258, 327, 209, 127, 77, 128, 210, 328, 257, 159, 96, 57, 33)(22, 39, 67, 111, 183, 290, 396, 351, 446, 460, 409, 469, 402, 298, 188, 114, 68, 40)(28, 49, 83, 137, 224, 344, 386, 283, 390, 376, 256, 291, 397, 350, 228, 140, 84, 50)(30, 52, 87, 144, 234, 356, 387, 352, 230, 142, 231, 353, 426, 323, 206, 125, 75, 44)(35, 60, 100, 165, 264, 361, 238, 146, 88, 53, 89, 147, 239, 300, 263, 164, 99, 59)(38, 65, 109, 179, 285, 232, 354, 240, 363, 451, 467, 438, 343, 221, 139, 182, 110, 66)(45, 76, 126, 207, 153, 249, 364, 241, 148, 90, 149, 242, 365, 410, 306, 193, 117, 70)(48, 81, 135, 220, 341, 425, 326, 208, 325, 428, 480, 452, 477, 421, 320, 223, 136, 82)(56, 94, 156, 252, 372, 389, 282, 181, 288, 394, 302, 190, 301, 405, 375, 254, 157, 95)(61, 102, 168, 268, 382, 444, 348, 226, 138, 85, 141, 229, 316, 200, 315, 267, 167, 101)(64, 107, 177, 281, 243, 150, 244, 329, 431, 482, 456, 479, 424, 319, 205, 284, 178, 108)(71, 118, 194, 134, 80, 133, 219, 330, 211, 129, 212, 166, 266, 380, 400, 294, 185, 112)(74, 123, 203, 318, 422, 474, 412, 307, 411, 475, 440, 345, 439, 470, 408, 321, 204, 124)(93, 154, 250, 371, 434, 349, 237, 145, 236, 359, 448, 463, 436, 340, 222, 276, 251, 155)(98, 162, 261, 377, 393, 287, 180, 113, 186, 295, 202, 122, 201, 317, 414, 310, 197, 163)(103, 170, 270, 286, 392, 462, 455, 374, 253, 158, 255, 339, 218, 132, 217, 338, 269, 169)(106, 175, 279, 265, 331, 213, 332, 413, 476, 454, 373, 453, 473, 407, 305, 388, 280, 176)(116, 191, 303, 406, 471, 458, 381, 401, 335, 435, 358, 235, 357, 445, 384, 273, 304, 192)(161, 259, 311, 415, 368, 442, 347, 225, 346, 441, 466, 399, 459, 385, 278, 174, 277, 260)(171, 272, 293, 184, 292, 398, 465, 457, 378, 262, 379, 418, 370, 248, 324, 427, 383, 271)(216, 336, 404, 362, 447, 355, 432, 333, 433, 468, 423, 478, 485, 483, 443, 481, 429, 337)(245, 367, 416, 342, 437, 472, 486, 484, 449, 360, 450, 369, 420, 314, 419, 464, 430, 366)(487, 489)(488, 492)(490, 495)(491, 498)(493, 502)(494, 499)(496, 505)(497, 508)(500, 509)(501, 514)(503, 516)(504, 519)(506, 521)(507, 524)(510, 525)(511, 530)(512, 531)(513, 534)(515, 535)(517, 539)(518, 542)(520, 545)(522, 547)(523, 550)(526, 551)(527, 556)(528, 557)(529, 560)(532, 563)(533, 566)(536, 567)(537, 571)(538, 574)(540, 576)(541, 579)(543, 580)(544, 584)(546, 587)(548, 589)(549, 592)(552, 593)(553, 598)(554, 599)(555, 602)(558, 605)(559, 608)(561, 609)(562, 613)(564, 615)(565, 618)(568, 619)(569, 624)(570, 625)(572, 628)(573, 631)(575, 634)(577, 636)(578, 639)(581, 640)(582, 644)(583, 647)(585, 648)(586, 652)(588, 655)(590, 657)(591, 660)(594, 661)(595, 666)(596, 667)(597, 670)(600, 673)(601, 676)(603, 677)(604, 681)(606, 683)(607, 686)(610, 687)(611, 691)(612, 694)(614, 697)(616, 699)(617, 702)(620, 703)(621, 707)(622, 708)(623, 711)(626, 713)(627, 716)(629, 718)(630, 721)(632, 722)(633, 726)(635, 729)(637, 731)(638, 734)(641, 735)(642, 739)(643, 674)(645, 742)(646, 720)(649, 745)(650, 748)(651, 751)(653, 752)(654, 728)(656, 757)(658, 759)(659, 762)(662, 763)(663, 768)(664, 769)(665, 772)(668, 775)(669, 777)(671, 778)(672, 782)(675, 786)(678, 787)(679, 791)(680, 793)(682, 796)(684, 797)(685, 800)(688, 801)(689, 805)(690, 806)(692, 808)(693, 810)(695, 811)(696, 815)(698, 817)(700, 819)(701, 821)(704, 822)(705, 826)(706, 828)(709, 761)(710, 831)(712, 832)(714, 835)(715, 837)(717, 771)(719, 841)(723, 843)(724, 846)(725, 848)(727, 849)(730, 852)(732, 854)(733, 855)(736, 784)(737, 764)(738, 859)(740, 783)(741, 862)(743, 776)(744, 844)(746, 842)(747, 864)(749, 788)(750, 830)(753, 867)(754, 767)(755, 851)(756, 839)(758, 870)(760, 807)(765, 872)(766, 873)(770, 877)(773, 878)(774, 881)(779, 883)(780, 885)(781, 887)(785, 890)(789, 893)(790, 894)(792, 895)(794, 897)(795, 899)(798, 902)(799, 904)(802, 905)(803, 907)(804, 909)(809, 911)(812, 913)(813, 915)(814, 916)(816, 917)(818, 918)(820, 920)(823, 921)(824, 898)(825, 889)(827, 903)(829, 923)(833, 925)(834, 929)(836, 931)(838, 932)(840, 933)(845, 935)(847, 926)(850, 871)(853, 901)(856, 906)(857, 919)(858, 938)(860, 939)(861, 928)(863, 942)(865, 880)(866, 944)(868, 875)(869, 912)(874, 946)(876, 947)(879, 949)(882, 950)(884, 952)(886, 953)(888, 954)(891, 956)(892, 958)(896, 960)(900, 962)(908, 955)(910, 964)(914, 967)(922, 968)(924, 957)(927, 969)(930, 966)(934, 948)(936, 961)(937, 945)(940, 963)(941, 970)(943, 965)(951, 971)(959, 972)
	L = (1, 487)(2, 488)(3, 489)(4, 490)(5, 491)(6, 492)(7, 493)(8, 494)(9, 495)(10, 496)(11, 497)(12, 498)(13, 499)(14, 500)(15, 501)(16, 502)(17, 503)(18, 504)(19, 505)(20, 506)(21, 507)(22, 508)(23, 509)(24, 510)(25, 511)(26, 512)(27, 513)(28, 514)(29, 515)(30, 516)(31, 517)(32, 518)(33, 519)(34, 520)(35, 521)(36, 522)(37, 523)(38, 524)(39, 525)(40, 526)(41, 527)(42, 528)(43, 529)(44, 530)(45, 531)(46, 532)(47, 533)(48, 534)(49, 535)(50, 536)(51, 537)(52, 538)(53, 539)(54, 540)(55, 541)(56, 542)(57, 543)(58, 544)(59, 545)(60, 546)(61, 547)(62, 548)(63, 549)(64, 550)(65, 551)(66, 552)(67, 553)(68, 554)(69, 555)(70, 556)(71, 557)(72, 558)(73, 559)(74, 560)(75, 561)(76, 562)(77, 563)(78, 564)(79, 565)(80, 566)(81, 567)(82, 568)(83, 569)(84, 570)(85, 571)(86, 572)(87, 573)(88, 574)(89, 575)(90, 576)(91, 577)(92, 578)(93, 579)(94, 580)(95, 581)(96, 582)(97, 583)(98, 584)(99, 585)(100, 586)(101, 587)(102, 588)(103, 589)(104, 590)(105, 591)(106, 592)(107, 593)(108, 594)(109, 595)(110, 596)(111, 597)(112, 598)(113, 599)(114, 600)(115, 601)(116, 602)(117, 603)(118, 604)(119, 605)(120, 606)(121, 607)(122, 608)(123, 609)(124, 610)(125, 611)(126, 612)(127, 613)(128, 614)(129, 615)(130, 616)(131, 617)(132, 618)(133, 619)(134, 620)(135, 621)(136, 622)(137, 623)(138, 624)(139, 625)(140, 626)(141, 627)(142, 628)(143, 629)(144, 630)(145, 631)(146, 632)(147, 633)(148, 634)(149, 635)(150, 636)(151, 637)(152, 638)(153, 639)(154, 640)(155, 641)(156, 642)(157, 643)(158, 644)(159, 645)(160, 646)(161, 647)(162, 648)(163, 649)(164, 650)(165, 651)(166, 652)(167, 653)(168, 654)(169, 655)(170, 656)(171, 657)(172, 658)(173, 659)(174, 660)(175, 661)(176, 662)(177, 663)(178, 664)(179, 665)(180, 666)(181, 667)(182, 668)(183, 669)(184, 670)(185, 671)(186, 672)(187, 673)(188, 674)(189, 675)(190, 676)(191, 677)(192, 678)(193, 679)(194, 680)(195, 681)(196, 682)(197, 683)(198, 684)(199, 685)(200, 686)(201, 687)(202, 688)(203, 689)(204, 690)(205, 691)(206, 692)(207, 693)(208, 694)(209, 695)(210, 696)(211, 697)(212, 698)(213, 699)(214, 700)(215, 701)(216, 702)(217, 703)(218, 704)(219, 705)(220, 706)(221, 707)(222, 708)(223, 709)(224, 710)(225, 711)(226, 712)(227, 713)(228, 714)(229, 715)(230, 716)(231, 717)(232, 718)(233, 719)(234, 720)(235, 721)(236, 722)(237, 723)(238, 724)(239, 725)(240, 726)(241, 727)(242, 728)(243, 729)(244, 730)(245, 731)(246, 732)(247, 733)(248, 734)(249, 735)(250, 736)(251, 737)(252, 738)(253, 739)(254, 740)(255, 741)(256, 742)(257, 743)(258, 744)(259, 745)(260, 746)(261, 747)(262, 748)(263, 749)(264, 750)(265, 751)(266, 752)(267, 753)(268, 754)(269, 755)(270, 756)(271, 757)(272, 758)(273, 759)(274, 760)(275, 761)(276, 762)(277, 763)(278, 764)(279, 765)(280, 766)(281, 767)(282, 768)(283, 769)(284, 770)(285, 771)(286, 772)(287, 773)(288, 774)(289, 775)(290, 776)(291, 777)(292, 778)(293, 779)(294, 780)(295, 781)(296, 782)(297, 783)(298, 784)(299, 785)(300, 786)(301, 787)(302, 788)(303, 789)(304, 790)(305, 791)(306, 792)(307, 793)(308, 794)(309, 795)(310, 796)(311, 797)(312, 798)(313, 799)(314, 800)(315, 801)(316, 802)(317, 803)(318, 804)(319, 805)(320, 806)(321, 807)(322, 808)(323, 809)(324, 810)(325, 811)(326, 812)(327, 813)(328, 814)(329, 815)(330, 816)(331, 817)(332, 818)(333, 819)(334, 820)(335, 821)(336, 822)(337, 823)(338, 824)(339, 825)(340, 826)(341, 827)(342, 828)(343, 829)(344, 830)(345, 831)(346, 832)(347, 833)(348, 834)(349, 835)(350, 836)(351, 837)(352, 838)(353, 839)(354, 840)(355, 841)(356, 842)(357, 843)(358, 844)(359, 845)(360, 846)(361, 847)(362, 848)(363, 849)(364, 850)(365, 851)(366, 852)(367, 853)(368, 854)(369, 855)(370, 856)(371, 857)(372, 858)(373, 859)(374, 860)(375, 861)(376, 862)(377, 863)(378, 864)(379, 865)(380, 866)(381, 867)(382, 868)(383, 869)(384, 870)(385, 871)(386, 872)(387, 873)(388, 874)(389, 875)(390, 876)(391, 877)(392, 878)(393, 879)(394, 880)(395, 881)(396, 882)(397, 883)(398, 884)(399, 885)(400, 886)(401, 887)(402, 888)(403, 889)(404, 890)(405, 891)(406, 892)(407, 893)(408, 894)(409, 895)(410, 896)(411, 897)(412, 898)(413, 899)(414, 900)(415, 901)(416, 902)(417, 903)(418, 904)(419, 905)(420, 906)(421, 907)(422, 908)(423, 909)(424, 910)(425, 911)(426, 912)(427, 913)(428, 914)(429, 915)(430, 916)(431, 917)(432, 918)(433, 919)(434, 920)(435, 921)(436, 922)(437, 923)(438, 924)(439, 925)(440, 926)(441, 927)(442, 928)(443, 929)(444, 930)(445, 931)(446, 932)(447, 933)(448, 934)(449, 935)(450, 936)(451, 937)(452, 938)(453, 939)(454, 940)(455, 941)(456, 942)(457, 943)(458, 944)(459, 945)(460, 946)(461, 947)(462, 948)(463, 949)(464, 950)(465, 951)(466, 952)(467, 953)(468, 954)(469, 955)(470, 956)(471, 957)(472, 958)(473, 959)(474, 960)(475, 961)(476, 962)(477, 963)(478, 964)(479, 965)(480, 966)(481, 967)(482, 968)(483, 969)(484, 970)(485, 971)(486, 972)
	local type(s) :: { ( 6, 6 ), ( 6^18 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 270 e = 486 f = 162
	degree seq :: [ 2^243, 18^27 ]

E28.3312 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 3, 18})
Quotient :: loop
Aut^+ = ((C9 : C9) : C3) : C2 (small group id <486, 39>)
Aut   = ((C9 : C9) : C3) : C2 (small group id <486, 39>)
|r| :: 1
Presentation :: [ X1^2, X2^3, (X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2^-1)^3, X1 * X2^-1 * X1 * X2 * X1 * X2 * X1 * X2 * X1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1 * X2 * X1 * X2^-1, X1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2 * X1 * X2 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1, (X2^-1 * X1)^18 ]
Map:: polyhedral non-degenerate
	R = (1, 487, 2, 488)(3, 489, 7, 493)(4, 490, 8, 494)(5, 491, 9, 495)(6, 492, 10, 496)(11, 497, 19, 505)(12, 498, 20, 506)(13, 499, 21, 507)(14, 500, 22, 508)(15, 501, 23, 509)(16, 502, 24, 510)(17, 503, 25, 511)(18, 504, 26, 512)(27, 513, 43, 529)(28, 514, 44, 530)(29, 515, 45, 531)(30, 516, 46, 532)(31, 517, 47, 533)(32, 518, 48, 534)(33, 519, 49, 535)(34, 520, 50, 536)(35, 521, 51, 537)(36, 522, 52, 538)(37, 523, 53, 539)(38, 524, 54, 540)(39, 525, 55, 541)(40, 526, 56, 542)(41, 527, 57, 543)(42, 528, 58, 544)(59, 545, 91, 577)(60, 546, 92, 578)(61, 547, 93, 579)(62, 548, 94, 580)(63, 549, 95, 581)(64, 550, 96, 582)(65, 551, 97, 583)(66, 552, 98, 584)(67, 553, 99, 585)(68, 554, 100, 586)(69, 555, 101, 587)(70, 556, 102, 588)(71, 557, 103, 589)(72, 558, 104, 590)(73, 559, 105, 591)(74, 560, 106, 592)(75, 561, 107, 593)(76, 562, 108, 594)(77, 563, 109, 595)(78, 564, 110, 596)(79, 565, 111, 597)(80, 566, 112, 598)(81, 567, 113, 599)(82, 568, 114, 600)(83, 569, 115, 601)(84, 570, 116, 602)(85, 571, 117, 603)(86, 572, 118, 604)(87, 573, 119, 605)(88, 574, 120, 606)(89, 575, 121, 607)(90, 576, 122, 608)(123, 609, 255, 741)(124, 610, 256, 742)(125, 611, 257, 743)(126, 612, 259, 745)(127, 613, 261, 747)(128, 614, 263, 749)(129, 615, 176, 662)(130, 616, 191, 677)(131, 617, 265, 751)(132, 618, 267, 753)(133, 619, 268, 754)(134, 620, 269, 755)(135, 621, 271, 757)(136, 622, 273, 759)(137, 623, 155, 641)(138, 624, 275, 761)(139, 625, 277, 763)(140, 626, 278, 764)(141, 627, 279, 765)(142, 628, 281, 767)(143, 629, 283, 769)(144, 630, 284, 770)(145, 631, 179, 665)(146, 632, 219, 705)(147, 633, 286, 772)(148, 634, 288, 774)(149, 635, 289, 775)(150, 636, 291, 777)(151, 637, 293, 779)(152, 638, 295, 781)(153, 639, 157, 643)(154, 640, 297, 783)(156, 642, 242, 728)(158, 644, 254, 740)(159, 645, 308, 794)(160, 646, 311, 797)(161, 647, 314, 800)(162, 648, 316, 802)(163, 649, 290, 776)(164, 650, 214, 700)(165, 651, 318, 804)(166, 652, 203, 689)(167, 653, 321, 807)(168, 654, 239, 725)(169, 655, 323, 809)(170, 656, 325, 811)(171, 657, 270, 756)(172, 658, 224, 710)(173, 659, 322, 808)(174, 660, 330, 816)(175, 661, 180, 666)(177, 663, 336, 822)(178, 664, 198, 684)(181, 667, 223, 709)(182, 668, 347, 833)(183, 669, 208, 694)(184, 670, 247, 733)(185, 671, 292, 778)(186, 672, 230, 716)(187, 673, 324, 810)(188, 674, 215, 701)(189, 675, 196, 682)(190, 676, 315, 801)(192, 678, 251, 737)(193, 679, 329, 815)(194, 680, 361, 847)(195, 681, 204, 690)(197, 683, 309, 795)(199, 685, 229, 715)(200, 686, 368, 854)(201, 687, 258, 744)(202, 688, 372, 858)(205, 691, 378, 864)(206, 692, 280, 766)(207, 693, 382, 868)(209, 695, 249, 735)(210, 696, 387, 873)(211, 697, 310, 796)(212, 698, 389, 875)(213, 699, 340, 826)(216, 702, 392, 878)(217, 703, 326, 812)(218, 704, 396, 882)(220, 706, 399, 885)(221, 707, 355, 841)(222, 708, 401, 887)(225, 711, 312, 798)(226, 712, 404, 890)(227, 713, 343, 829)(228, 714, 405, 891)(231, 717, 302, 788)(232, 718, 408, 894)(233, 719, 411, 897)(234, 720, 413, 899)(235, 721, 414, 900)(236, 722, 313, 799)(237, 723, 418, 904)(238, 724, 419, 905)(240, 726, 319, 805)(241, 727, 266, 752)(243, 729, 427, 913)(244, 730, 371, 857)(245, 731, 328, 814)(246, 732, 332, 818)(248, 734, 432, 918)(250, 736, 433, 919)(252, 738, 305, 791)(253, 739, 299, 785)(260, 746, 346, 832)(262, 748, 441, 927)(264, 750, 435, 921)(272, 758, 451, 937)(274, 760, 352, 838)(276, 762, 455, 941)(282, 768, 367, 853)(285, 771, 304, 790)(287, 773, 334, 820)(294, 780, 466, 952)(296, 782, 356, 842)(298, 784, 385, 871)(300, 786, 303, 789)(301, 787, 431, 917)(306, 792, 470, 956)(307, 793, 471, 957)(317, 803, 474, 960)(320, 806, 463, 949)(327, 813, 345, 831)(331, 817, 333, 819)(335, 821, 384, 870)(337, 823, 339, 825)(338, 824, 446, 932)(341, 827, 351, 837)(342, 828, 344, 830)(348, 834, 350, 836)(349, 835, 454, 940)(353, 839, 366, 852)(354, 840, 445, 931)(357, 843, 377, 863)(358, 844, 462, 948)(359, 845, 426, 912)(360, 846, 429, 915)(362, 848, 391, 877)(363, 849, 483, 969)(364, 850, 365, 851)(369, 855, 409, 895)(370, 856, 373, 859)(374, 860, 423, 909)(375, 861, 376, 862)(379, 865, 440, 926)(380, 866, 383, 869)(381, 867, 395, 881)(386, 872, 468, 954)(388, 874, 390, 876)(393, 879, 485, 971)(394, 880, 397, 883)(398, 884, 472, 958)(400, 886, 481, 967)(402, 888, 450, 936)(403, 889, 484, 970)(406, 892, 465, 951)(407, 893, 436, 922)(410, 896, 425, 911)(412, 898, 473, 959)(415, 901, 430, 916)(416, 902, 447, 933)(417, 903, 442, 928)(420, 906, 444, 930)(421, 907, 475, 961)(422, 908, 448, 934)(424, 910, 461, 947)(428, 914, 480, 966)(434, 920, 459, 945)(437, 923, 449, 935)(438, 924, 457, 943)(439, 925, 469, 955)(443, 929, 476, 962)(452, 938, 486, 972)(453, 939, 456, 942)(458, 944, 464, 950)(460, 946, 478, 964)(467, 953, 482, 968)(477, 963, 479, 965)
	L = (1, 489)(2, 491)(3, 490)(4, 487)(5, 492)(6, 488)(7, 497)(8, 499)(9, 501)(10, 503)(11, 498)(12, 493)(13, 500)(14, 494)(15, 502)(16, 495)(17, 504)(18, 496)(19, 513)(20, 515)(21, 517)(22, 519)(23, 521)(24, 523)(25, 525)(26, 527)(27, 514)(28, 505)(29, 516)(30, 506)(31, 518)(32, 507)(33, 520)(34, 508)(35, 522)(36, 509)(37, 524)(38, 510)(39, 526)(40, 511)(41, 528)(42, 512)(43, 545)(44, 547)(45, 549)(46, 551)(47, 553)(48, 555)(49, 557)(50, 559)(51, 561)(52, 563)(53, 565)(54, 567)(55, 569)(56, 571)(57, 573)(58, 575)(59, 546)(60, 529)(61, 548)(62, 530)(63, 550)(64, 531)(65, 552)(66, 532)(67, 554)(68, 533)(69, 556)(70, 534)(71, 558)(72, 535)(73, 560)(74, 536)(75, 562)(76, 537)(77, 564)(78, 538)(79, 566)(80, 539)(81, 568)(82, 540)(83, 570)(84, 541)(85, 572)(86, 542)(87, 574)(88, 543)(89, 576)(90, 544)(91, 609)(92, 611)(93, 613)(94, 615)(95, 617)(96, 619)(97, 621)(98, 623)(99, 625)(100, 627)(101, 629)(102, 631)(103, 633)(104, 635)(105, 637)(106, 639)(107, 718)(108, 720)(109, 722)(110, 709)(111, 656)(112, 724)(113, 726)(114, 728)(115, 729)(116, 730)(117, 731)(118, 733)(119, 680)(120, 736)(121, 738)(122, 740)(123, 610)(124, 577)(125, 612)(126, 578)(127, 614)(128, 579)(129, 616)(130, 580)(131, 618)(132, 581)(133, 620)(134, 582)(135, 622)(136, 583)(137, 624)(138, 584)(139, 626)(140, 585)(141, 628)(142, 586)(143, 630)(144, 587)(145, 632)(146, 588)(147, 634)(148, 589)(149, 636)(150, 590)(151, 638)(152, 591)(153, 640)(154, 592)(155, 785)(156, 788)(157, 789)(158, 786)(159, 795)(160, 798)(161, 801)(162, 752)(163, 791)(164, 739)(165, 779)(166, 717)(167, 808)(168, 773)(169, 810)(170, 699)(171, 809)(172, 813)(173, 815)(174, 605)(175, 683)(176, 819)(177, 757)(178, 711)(179, 825)(180, 676)(181, 830)(182, 805)(183, 727)(184, 836)(185, 800)(186, 839)(187, 841)(188, 807)(189, 843)(190, 829)(191, 794)(192, 749)(193, 783)(194, 660)(195, 756)(196, 848)(197, 818)(198, 659)(199, 851)(200, 817)(201, 820)(202, 859)(203, 673)(204, 862)(205, 823)(206, 826)(207, 869)(208, 655)(209, 784)(210, 828)(211, 831)(212, 876)(213, 597)(214, 679)(215, 745)(216, 834)(217, 753)(218, 883)(219, 797)(220, 770)(221, 608)(222, 663)(223, 778)(224, 888)(225, 824)(226, 598)(227, 761)(228, 651)(229, 701)(230, 892)(231, 806)(232, 895)(233, 802)(234, 861)(235, 901)(236, 852)(237, 668)(238, 712)(239, 907)(240, 909)(241, 835)(242, 911)(243, 914)(244, 782)(245, 916)(246, 896)(247, 897)(248, 649)(249, 690)(250, 920)(251, 921)(252, 923)(253, 803)(254, 707)(255, 925)(256, 696)(257, 771)(258, 647)(259, 715)(260, 704)(261, 648)(262, 850)(263, 846)(264, 928)(265, 929)(266, 747)(267, 881)(268, 931)(269, 858)(270, 767)(271, 708)(272, 856)(273, 698)(274, 774)(275, 776)(276, 942)(277, 943)(278, 748)(279, 697)(280, 653)(281, 681)(282, 762)(283, 654)(284, 886)(285, 863)(286, 946)(287, 769)(288, 940)(289, 948)(290, 713)(291, 868)(292, 596)(293, 714)(294, 866)(295, 750)(296, 602)(297, 700)(298, 872)(299, 787)(300, 793)(301, 641)(302, 790)(303, 792)(304, 642)(305, 734)(306, 643)(307, 644)(308, 845)(309, 796)(310, 645)(311, 884)(312, 799)(313, 646)(314, 838)(315, 744)(316, 898)(317, 650)(318, 732)(319, 723)(320, 652)(321, 842)(322, 766)(323, 812)(324, 694)(325, 965)(326, 657)(327, 814)(328, 658)(329, 684)(330, 932)(331, 855)(332, 661)(333, 821)(334, 857)(335, 662)(336, 949)(337, 865)(338, 664)(339, 827)(340, 867)(341, 665)(342, 742)(343, 666)(344, 832)(345, 765)(346, 667)(347, 960)(348, 879)(349, 669)(350, 837)(351, 670)(352, 671)(353, 840)(354, 672)(355, 689)(356, 674)(357, 844)(358, 675)(359, 677)(360, 678)(361, 964)(362, 849)(363, 682)(364, 764)(365, 853)(366, 595)(367, 685)(368, 957)(369, 686)(370, 938)(371, 687)(372, 934)(373, 860)(374, 688)(375, 594)(376, 735)(377, 743)(378, 918)(379, 691)(380, 953)(381, 692)(382, 950)(383, 870)(384, 693)(385, 966)(386, 695)(387, 956)(388, 941)(389, 970)(390, 759)(391, 899)(392, 891)(393, 702)(394, 968)(395, 703)(396, 906)(397, 746)(398, 705)(399, 919)(400, 706)(401, 913)(402, 889)(403, 710)(404, 875)(405, 962)(406, 893)(407, 716)(408, 939)(409, 593)(410, 804)(411, 604)(412, 719)(413, 917)(414, 775)(415, 902)(416, 721)(417, 871)(418, 763)(419, 915)(420, 945)(421, 908)(422, 725)(423, 599)(424, 874)(425, 600)(426, 816)(427, 952)(428, 601)(429, 967)(430, 603)(431, 877)(432, 963)(433, 969)(434, 606)(435, 922)(436, 737)(437, 607)(438, 880)(439, 926)(440, 741)(441, 935)(442, 781)(443, 930)(444, 751)(445, 933)(446, 912)(447, 754)(448, 755)(449, 951)(450, 873)(451, 847)(452, 758)(453, 971)(454, 760)(455, 910)(456, 768)(457, 904)(458, 811)(459, 882)(460, 947)(461, 772)(462, 900)(463, 958)(464, 777)(465, 927)(466, 887)(467, 780)(468, 972)(469, 954)(470, 936)(471, 961)(472, 822)(473, 833)(474, 959)(475, 854)(476, 878)(477, 864)(478, 937)(479, 944)(480, 903)(481, 905)(482, 924)(483, 885)(484, 890)(485, 894)(486, 955)
	local type(s) :: { ( 3, 18, 3, 18 ) }
Outer automorphisms :: chiral
Dual of E28.3310
Transitivity :: ET+ VT+
Graph:: simple
	v = 243 e = 486 f = 189
	degree seq :: [ 4^243 ]

E28.3313 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 3, 18})
Quotient :: loop
Aut^+ = ((C9 : C9) : C3) : C2 (small group id <486, 39>)
Aut   = ((C9 : C9) : C3) : C2 (small group id <486, 39>)
|r| :: 1
Presentation :: [ X1^3, (X2^-1 * X1^-1)^2, (X2^4 * X1^-1)^3, X1^-1 * X2^3 * X1 * X2^-4 * X1^-1 * X2^4 * X1^-1 * X2, X1^-1 * X2^-5 * X1^-1 * X2^4 * X1^-1 * X2 * X1^-1 * X2^2, X1^-1 * X2 * X1^-1 * X2^-5 * X1 * X2^-1 * X1^-1 * X2^2 * X1^-1 * X2^-3, X2^5 * X1^-1 * X2^-2 * X1 * X2^-6 * X1^-1 * X2 * X1^-1, X2 * X1^-1 * X2^2 * X1^-1 * X2^2 * X1^-1 * X2^-2 * X1 * X2^-2 * X1 * X2^-3 * X1^-1, X2 * X1^-1 * X2^-2 * X1 * X2^2 * X1^-1 * X2^2 * X1^-1 * X2^3 * X1^-1 * X2^2 * X1^-1, X2^18 ]
Map::
	R = (1, 487, 2, 488, 4, 490)(3, 489, 8, 494, 10, 496)(5, 491, 12, 498, 6, 492)(7, 493, 15, 501, 11, 497)(9, 495, 18, 504, 20, 506)(13, 499, 25, 511, 23, 509)(14, 500, 24, 510, 28, 514)(16, 502, 31, 517, 29, 515)(17, 503, 33, 519, 21, 507)(19, 505, 36, 522, 38, 524)(22, 508, 30, 516, 42, 528)(26, 512, 47, 533, 45, 531)(27, 513, 49, 535, 51, 537)(32, 518, 57, 543, 55, 541)(34, 520, 61, 547, 59, 545)(35, 521, 63, 549, 39, 525)(37, 523, 66, 552, 68, 554)(40, 526, 60, 546, 72, 558)(41, 527, 73, 559, 75, 561)(43, 529, 46, 532, 78, 564)(44, 530, 79, 565, 52, 538)(48, 534, 85, 571, 83, 569)(50, 536, 88, 574, 90, 576)(53, 539, 56, 542, 94, 580)(54, 540, 95, 581, 76, 562)(58, 544, 101, 587, 99, 585)(62, 548, 107, 593, 105, 591)(64, 550, 111, 597, 109, 595)(65, 551, 113, 599, 69, 555)(67, 553, 116, 602, 118, 604)(70, 556, 110, 596, 122, 608)(71, 557, 123, 609, 125, 611)(74, 560, 128, 614, 130, 616)(77, 563, 133, 619, 135, 621)(80, 566, 139, 625, 137, 623)(81, 567, 84, 570, 142, 628)(82, 568, 143, 629, 136, 622)(86, 572, 149, 635, 147, 633)(87, 573, 151, 637, 91, 577)(89, 575, 154, 640, 156, 642)(92, 578, 138, 624, 160, 646)(93, 579, 161, 647, 163, 649)(96, 582, 167, 653, 165, 651)(97, 583, 100, 586, 170, 656)(98, 584, 171, 657, 164, 650)(102, 588, 177, 663, 175, 661)(103, 589, 106, 592, 180, 666)(104, 590, 181, 667, 126, 612)(108, 594, 187, 673, 185, 671)(112, 598, 193, 679, 191, 677)(114, 600, 197, 683, 195, 681)(115, 601, 199, 685, 119, 605)(117, 603, 202, 688, 204, 690)(120, 606, 196, 682, 208, 694)(121, 607, 209, 695, 211, 697)(124, 610, 214, 700, 216, 702)(127, 613, 219, 705, 131, 617)(129, 615, 222, 708, 224, 710)(132, 618, 166, 652, 228, 714)(134, 620, 230, 716, 232, 718)(140, 626, 239, 725, 237, 723)(141, 627, 241, 727, 243, 729)(144, 630, 247, 733, 245, 731)(145, 631, 148, 634, 250, 736)(146, 632, 251, 737, 244, 730)(150, 636, 257, 743, 255, 741)(152, 638, 261, 747, 259, 745)(153, 639, 263, 749, 157, 643)(155, 641, 266, 752, 268, 754)(158, 644, 260, 746, 272, 758)(159, 645, 273, 759, 275, 761)(162, 648, 278, 764, 280, 766)(168, 654, 287, 773, 285, 771)(169, 655, 289, 775, 291, 777)(172, 658, 295, 781, 293, 779)(173, 659, 176, 662, 298, 784)(174, 660, 299, 785, 292, 778)(178, 664, 304, 790, 302, 788)(179, 665, 306, 792, 308, 794)(182, 668, 312, 798, 310, 796)(183, 669, 186, 672, 315, 801)(184, 670, 316, 802, 309, 795)(188, 674, 321, 807, 319, 805)(189, 675, 192, 678, 324, 810)(190, 676, 325, 811, 212, 698)(194, 680, 330, 816, 262, 748)(198, 684, 288, 774, 334, 820)(200, 686, 269, 755, 265, 751)(201, 687, 338, 824, 205, 691)(203, 689, 341, 827, 343, 829)(206, 692, 336, 822, 346, 832)(207, 693, 347, 833, 348, 834)(210, 696, 351, 837, 248, 734)(213, 699, 355, 841, 217, 703)(215, 701, 357, 843, 359, 845)(218, 704, 311, 797, 362, 848)(220, 706, 365, 851, 363, 849)(221, 707, 339, 825, 225, 711)(223, 709, 368, 854, 370, 856)(226, 712, 364, 850, 372, 858)(227, 713, 373, 859, 375, 861)(229, 715, 377, 863, 233, 719)(231, 717, 332, 818, 335, 821)(234, 720, 246, 732, 382, 868)(235, 721, 238, 724, 384, 870)(236, 722, 385, 871, 276, 762)(240, 726, 388, 874, 366, 852)(242, 728, 390, 876, 323, 809)(249, 735, 397, 883, 398, 884)(252, 738, 356, 842, 400, 886)(253, 739, 256, 742, 402, 888)(254, 740, 403, 889, 399, 885)(258, 744, 408, 894, 406, 892)(264, 750, 371, 857, 367, 853)(267, 753, 415, 901, 417, 903)(270, 756, 413, 899, 419, 905)(271, 757, 420, 906, 421, 907)(274, 760, 424, 910, 296, 782)(277, 763, 428, 914, 281, 767)(279, 765, 410, 896, 412, 898)(282, 768, 294, 780, 433, 919)(283, 769, 286, 772, 435, 921)(284, 770, 436, 922, 376, 862)(290, 776, 342, 828, 383, 869)(297, 783, 445, 931, 391, 877)(300, 786, 378, 864, 446, 932)(301, 787, 303, 789, 448, 934)(305, 791, 453, 939, 451, 937)(307, 793, 416, 902, 434, 920)(313, 799, 374, 860, 457, 943)(314, 800, 460, 946, 409, 895)(317, 803, 429, 915, 461, 947)(318, 804, 320, 806, 463, 949)(322, 808, 467, 953, 465, 951)(326, 812, 440, 926, 447, 933)(327, 813, 329, 815, 470, 956)(328, 814, 441, 927, 443, 929)(331, 817, 449, 935, 452, 938)(333, 819, 432, 918, 349, 835)(337, 823, 459, 945, 405, 891)(340, 826, 430, 916, 344, 830)(345, 831, 425, 911, 444, 930)(350, 836, 431, 917, 353, 839)(352, 838, 396, 882, 450, 936)(354, 840, 427, 913, 475, 961)(358, 844, 418, 904, 414, 900)(360, 846, 426, 912, 423, 909)(361, 847, 422, 908, 411, 897)(369, 855, 479, 965, 468, 954)(379, 865, 472, 958, 478, 964)(380, 866, 482, 968, 481, 967)(381, 867, 480, 966, 477, 963)(386, 872, 454, 940, 462, 948)(387, 873, 455, 941, 458, 944)(389, 875, 464, 950, 466, 952)(392, 878, 401, 887, 437, 923)(393, 879, 395, 881, 438, 924)(394, 880, 442, 928, 456, 942)(404, 890, 407, 893, 439, 925)(469, 955, 476, 962, 483, 969)(471, 957, 485, 971, 484, 970)(473, 959, 486, 972, 474, 960)
	L = (1, 489)(2, 492)(3, 495)(4, 497)(5, 487)(6, 500)(7, 488)(8, 490)(9, 505)(10, 507)(11, 508)(12, 509)(13, 491)(14, 513)(15, 515)(16, 493)(17, 494)(18, 496)(19, 523)(20, 525)(21, 526)(22, 527)(23, 529)(24, 498)(25, 531)(26, 499)(27, 536)(28, 538)(29, 539)(30, 501)(31, 541)(32, 502)(33, 545)(34, 503)(35, 504)(36, 506)(37, 553)(38, 555)(39, 556)(40, 557)(41, 560)(42, 562)(43, 563)(44, 510)(45, 567)(46, 511)(47, 569)(48, 512)(49, 514)(50, 575)(51, 577)(52, 578)(53, 579)(54, 516)(55, 583)(56, 517)(57, 585)(58, 518)(59, 589)(60, 519)(61, 591)(62, 520)(63, 595)(64, 521)(65, 522)(66, 524)(67, 603)(68, 605)(69, 606)(70, 607)(71, 610)(72, 612)(73, 528)(74, 615)(75, 617)(76, 618)(77, 620)(78, 622)(79, 623)(80, 530)(81, 627)(82, 532)(83, 631)(84, 533)(85, 633)(86, 534)(87, 535)(88, 537)(89, 641)(90, 643)(91, 644)(92, 645)(93, 648)(94, 650)(95, 651)(96, 540)(97, 655)(98, 542)(99, 659)(100, 543)(101, 661)(102, 544)(103, 665)(104, 546)(105, 669)(106, 547)(107, 671)(108, 548)(109, 675)(110, 549)(111, 677)(112, 550)(113, 681)(114, 551)(115, 552)(116, 554)(117, 689)(118, 691)(119, 692)(120, 693)(121, 696)(122, 698)(123, 558)(124, 701)(125, 703)(126, 704)(127, 559)(128, 561)(129, 709)(130, 711)(131, 712)(132, 713)(133, 564)(134, 717)(135, 719)(136, 720)(137, 721)(138, 565)(139, 723)(140, 566)(141, 728)(142, 730)(143, 731)(144, 568)(145, 735)(146, 570)(147, 739)(148, 571)(149, 741)(150, 572)(151, 745)(152, 573)(153, 574)(154, 576)(155, 753)(156, 755)(157, 756)(158, 757)(159, 760)(160, 762)(161, 580)(162, 765)(163, 767)(164, 768)(165, 769)(166, 581)(167, 771)(168, 582)(169, 776)(170, 778)(171, 779)(172, 584)(173, 783)(174, 586)(175, 787)(176, 587)(177, 788)(178, 588)(179, 793)(180, 795)(181, 796)(182, 590)(183, 800)(184, 592)(185, 804)(186, 593)(187, 805)(188, 594)(189, 809)(190, 596)(191, 813)(192, 597)(193, 748)(194, 598)(195, 818)(196, 599)(197, 820)(198, 600)(199, 751)(200, 601)(201, 602)(202, 604)(203, 828)(204, 830)(205, 831)(206, 662)(207, 725)(208, 835)(209, 608)(210, 838)(211, 839)(212, 840)(213, 609)(214, 611)(215, 844)(216, 738)(217, 846)(218, 847)(219, 849)(220, 613)(221, 614)(222, 616)(223, 855)(224, 857)(225, 740)(226, 815)(227, 860)(228, 862)(229, 619)(230, 621)(231, 865)(232, 786)(233, 866)(234, 867)(235, 869)(236, 624)(237, 834)(238, 625)(239, 852)(240, 626)(241, 628)(242, 810)(243, 877)(244, 878)(245, 879)(246, 629)(247, 837)(248, 630)(249, 792)(250, 885)(251, 886)(252, 632)(253, 763)(254, 634)(255, 890)(256, 635)(257, 892)(258, 636)(259, 896)(260, 637)(261, 816)(262, 638)(263, 853)(264, 639)(265, 640)(266, 642)(267, 902)(268, 904)(269, 891)(270, 672)(271, 773)(272, 908)(273, 646)(274, 911)(275, 912)(276, 913)(277, 647)(278, 649)(279, 916)(280, 803)(281, 917)(282, 918)(283, 920)(284, 652)(285, 907)(286, 653)(287, 684)(288, 654)(289, 656)(290, 870)(291, 895)(292, 926)(293, 927)(294, 657)(295, 910)(296, 658)(297, 727)(298, 832)(299, 932)(300, 660)(301, 699)(302, 935)(303, 663)(304, 937)(305, 664)(306, 666)(307, 921)(308, 884)(309, 940)(310, 941)(311, 667)(312, 943)(313, 668)(314, 775)(315, 905)(316, 947)(317, 670)(318, 715)(319, 950)(320, 673)(321, 951)(322, 674)(323, 954)(324, 929)(325, 933)(326, 676)(327, 894)(328, 678)(329, 679)(330, 938)(331, 680)(332, 718)(333, 682)(334, 893)(335, 683)(336, 685)(337, 686)(338, 707)(339, 687)(340, 688)(341, 690)(342, 777)(343, 924)(344, 898)(345, 806)(346, 960)(347, 694)(348, 939)(349, 919)(350, 695)(351, 697)(352, 750)(353, 914)(354, 922)(355, 934)(356, 700)(357, 702)(358, 864)(359, 851)(360, 925)(361, 962)(362, 928)(363, 843)(364, 705)(365, 874)(366, 706)(367, 708)(368, 710)(369, 876)(370, 958)(371, 936)(372, 966)(373, 714)(374, 823)(375, 968)(376, 961)(377, 949)(378, 716)(379, 915)(380, 817)(381, 959)(382, 942)(383, 829)(384, 944)(385, 948)(386, 722)(387, 724)(388, 952)(389, 726)(390, 729)(391, 808)(392, 957)(393, 827)(394, 732)(395, 733)(396, 734)(397, 736)(398, 791)(399, 955)(400, 826)(401, 737)(402, 945)(403, 825)(404, 909)(405, 742)(406, 956)(407, 743)(408, 946)(409, 744)(410, 766)(411, 746)(412, 747)(413, 749)(414, 752)(415, 754)(416, 794)(417, 814)(418, 845)(419, 971)(420, 758)(421, 953)(422, 848)(423, 759)(424, 761)(425, 824)(426, 841)(427, 811)(428, 888)(429, 764)(430, 842)(431, 875)(432, 970)(433, 880)(434, 903)(435, 881)(436, 887)(437, 770)(438, 772)(439, 774)(440, 969)(441, 901)(442, 780)(443, 781)(444, 782)(445, 784)(446, 900)(447, 785)(448, 882)(449, 967)(450, 789)(451, 833)(452, 790)(453, 883)(454, 972)(455, 965)(456, 797)(457, 861)(458, 798)(459, 799)(460, 801)(461, 964)(462, 802)(463, 930)(464, 836)(465, 906)(466, 807)(467, 931)(468, 873)(469, 812)(470, 858)(471, 819)(472, 821)(473, 822)(474, 872)(475, 871)(476, 889)(477, 850)(478, 854)(479, 856)(480, 868)(481, 859)(482, 863)(483, 897)(484, 899)(485, 923)(486, 963)
	local type(s) :: { ( 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 162 e = 486 f = 270
	degree seq :: [ 6^162 ]

E28.3314 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 3, 18})
Quotient :: loop
Aut^+ = ((C9 : C9) : C3) : C2 (small group id <486, 39>)
Aut   = ((C9 : C9) : C3) : C2 (small group id <486, 39>)
|r| :: 1
Presentation :: [ X2^2, (X2 * X1)^3, X2 * X1^4 * X2 * X1^-4 * X2 * X1^2 * X2 * X1^-2, X1^3 * X2 * X1^-3 * X2 * X1^-9 * X2, (X2 * X1^3 * X2 * X1^-1)^3, X1^18 ]
Map::
	R = (1, 487, 2, 488, 5, 491, 11, 497, 21, 507, 37, 523, 63, 549, 105, 591, 173, 659, 275, 761, 274, 760, 172, 658, 104, 590, 62, 548, 36, 522, 20, 506, 10, 496, 4, 490)(3, 489, 7, 493, 15, 501, 27, 513, 47, 533, 79, 565, 131, 617, 215, 701, 296, 782, 187, 673, 297, 783, 246, 732, 151, 637, 91, 577, 54, 540, 31, 517, 17, 503, 8, 494)(6, 492, 13, 499, 25, 511, 43, 529, 73, 559, 121, 607, 199, 685, 313, 799, 395, 881, 289, 775, 227, 713, 334, 820, 214, 700, 130, 616, 78, 564, 46, 532, 26, 512, 14, 500)(9, 495, 18, 504, 32, 518, 55, 541, 92, 578, 152, 638, 247, 733, 308, 794, 195, 681, 119, 605, 196, 682, 309, 795, 233, 719, 143, 629, 86, 572, 51, 537, 29, 515, 16, 502)(12, 498, 23, 509, 41, 527, 69, 555, 115, 601, 189, 675, 299, 785, 403, 889, 461, 947, 391, 877, 322, 808, 417, 903, 312, 798, 198, 684, 120, 606, 72, 558, 42, 528, 24, 510)(19, 505, 34, 520, 58, 544, 97, 583, 160, 646, 258, 744, 327, 813, 209, 695, 127, 613, 77, 563, 128, 614, 210, 696, 328, 814, 257, 743, 159, 645, 96, 582, 57, 543, 33, 519)(22, 508, 39, 525, 67, 553, 111, 597, 183, 669, 290, 776, 396, 882, 351, 837, 446, 932, 460, 946, 409, 895, 469, 955, 402, 888, 298, 784, 188, 674, 114, 600, 68, 554, 40, 526)(28, 514, 49, 535, 83, 569, 137, 623, 224, 710, 344, 830, 386, 872, 283, 769, 390, 876, 376, 862, 256, 742, 291, 777, 397, 883, 350, 836, 228, 714, 140, 626, 84, 570, 50, 536)(30, 516, 52, 538, 87, 573, 144, 630, 234, 720, 356, 842, 387, 873, 352, 838, 230, 716, 142, 628, 231, 717, 353, 839, 426, 912, 323, 809, 206, 692, 125, 611, 75, 561, 44, 530)(35, 521, 60, 546, 100, 586, 165, 651, 264, 750, 361, 847, 238, 724, 146, 632, 88, 574, 53, 539, 89, 575, 147, 633, 239, 725, 300, 786, 263, 749, 164, 650, 99, 585, 59, 545)(38, 524, 65, 551, 109, 595, 179, 665, 285, 771, 232, 718, 354, 840, 240, 726, 363, 849, 451, 937, 467, 953, 438, 924, 343, 829, 221, 707, 139, 625, 182, 668, 110, 596, 66, 552)(45, 531, 76, 562, 126, 612, 207, 693, 153, 639, 249, 735, 364, 850, 241, 727, 148, 634, 90, 576, 149, 635, 242, 728, 365, 851, 410, 896, 306, 792, 193, 679, 117, 603, 70, 556)(48, 534, 81, 567, 135, 621, 220, 706, 341, 827, 425, 911, 326, 812, 208, 694, 325, 811, 428, 914, 480, 966, 452, 938, 477, 963, 421, 907, 320, 806, 223, 709, 136, 622, 82, 568)(56, 542, 94, 580, 156, 642, 252, 738, 372, 858, 389, 875, 282, 768, 181, 667, 288, 774, 394, 880, 302, 788, 190, 676, 301, 787, 405, 891, 375, 861, 254, 740, 157, 643, 95, 581)(61, 547, 102, 588, 168, 654, 268, 754, 382, 868, 444, 930, 348, 834, 226, 712, 138, 624, 85, 571, 141, 627, 229, 715, 316, 802, 200, 686, 315, 801, 267, 753, 167, 653, 101, 587)(64, 550, 107, 593, 177, 663, 281, 767, 243, 729, 150, 636, 244, 730, 329, 815, 431, 917, 482, 968, 456, 942, 479, 965, 424, 910, 319, 805, 205, 691, 284, 770, 178, 664, 108, 594)(71, 557, 118, 604, 194, 680, 134, 620, 80, 566, 133, 619, 219, 705, 330, 816, 211, 697, 129, 615, 212, 698, 166, 652, 266, 752, 380, 866, 400, 886, 294, 780, 185, 671, 112, 598)(74, 560, 123, 609, 203, 689, 318, 804, 422, 908, 474, 960, 412, 898, 307, 793, 411, 897, 475, 961, 440, 926, 345, 831, 439, 925, 470, 956, 408, 894, 321, 807, 204, 690, 124, 610)(93, 579, 154, 640, 250, 736, 371, 857, 434, 920, 349, 835, 237, 723, 145, 631, 236, 722, 359, 845, 448, 934, 463, 949, 436, 922, 340, 826, 222, 708, 276, 762, 251, 737, 155, 641)(98, 584, 162, 648, 261, 747, 377, 863, 393, 879, 287, 773, 180, 666, 113, 599, 186, 672, 295, 781, 202, 688, 122, 608, 201, 687, 317, 803, 414, 900, 310, 796, 197, 683, 163, 649)(103, 589, 170, 656, 270, 756, 286, 772, 392, 878, 462, 948, 455, 941, 374, 860, 253, 739, 158, 644, 255, 741, 339, 825, 218, 704, 132, 618, 217, 703, 338, 824, 269, 755, 169, 655)(106, 592, 175, 661, 279, 765, 265, 751, 331, 817, 213, 699, 332, 818, 413, 899, 476, 962, 454, 940, 373, 859, 453, 939, 473, 959, 407, 893, 305, 791, 388, 874, 280, 766, 176, 662)(116, 602, 191, 677, 303, 789, 406, 892, 471, 957, 458, 944, 381, 867, 401, 887, 335, 821, 435, 921, 358, 844, 235, 721, 357, 843, 445, 931, 384, 870, 273, 759, 304, 790, 192, 678)(161, 647, 259, 745, 311, 797, 415, 901, 368, 854, 442, 928, 347, 833, 225, 711, 346, 832, 441, 927, 466, 952, 399, 885, 459, 945, 385, 871, 278, 764, 174, 660, 277, 763, 260, 746)(171, 657, 272, 758, 293, 779, 184, 670, 292, 778, 398, 884, 465, 951, 457, 943, 378, 864, 262, 748, 379, 865, 418, 904, 370, 856, 248, 734, 324, 810, 427, 913, 383, 869, 271, 757)(216, 702, 336, 822, 404, 890, 362, 848, 447, 933, 355, 841, 432, 918, 333, 819, 433, 919, 468, 954, 423, 909, 478, 964, 485, 971, 483, 969, 443, 929, 481, 967, 429, 915, 337, 823)(245, 731, 367, 853, 416, 902, 342, 828, 437, 923, 472, 958, 486, 972, 484, 970, 449, 935, 360, 846, 450, 936, 369, 855, 420, 906, 314, 800, 419, 905, 464, 950, 430, 916, 366, 852)
	L = (1, 489)(2, 492)(3, 487)(4, 495)(5, 498)(6, 488)(7, 502)(8, 499)(9, 490)(10, 505)(11, 508)(12, 491)(13, 494)(14, 509)(15, 514)(16, 493)(17, 516)(18, 519)(19, 496)(20, 521)(21, 524)(22, 497)(23, 500)(24, 525)(25, 530)(26, 531)(27, 534)(28, 501)(29, 535)(30, 503)(31, 539)(32, 542)(33, 504)(34, 545)(35, 506)(36, 547)(37, 550)(38, 507)(39, 510)(40, 551)(41, 556)(42, 557)(43, 560)(44, 511)(45, 512)(46, 563)(47, 566)(48, 513)(49, 515)(50, 567)(51, 571)(52, 574)(53, 517)(54, 576)(55, 579)(56, 518)(57, 580)(58, 584)(59, 520)(60, 587)(61, 522)(62, 589)(63, 592)(64, 523)(65, 526)(66, 593)(67, 598)(68, 599)(69, 602)(70, 527)(71, 528)(72, 605)(73, 608)(74, 529)(75, 609)(76, 613)(77, 532)(78, 615)(79, 618)(80, 533)(81, 536)(82, 619)(83, 624)(84, 625)(85, 537)(86, 628)(87, 631)(88, 538)(89, 634)(90, 540)(91, 636)(92, 639)(93, 541)(94, 543)(95, 640)(96, 644)(97, 647)(98, 544)(99, 648)(100, 652)(101, 546)(102, 655)(103, 548)(104, 657)(105, 660)(106, 549)(107, 552)(108, 661)(109, 666)(110, 667)(111, 670)(112, 553)(113, 554)(114, 673)(115, 676)(116, 555)(117, 677)(118, 681)(119, 558)(120, 683)(121, 686)(122, 559)(123, 561)(124, 687)(125, 691)(126, 694)(127, 562)(128, 697)(129, 564)(130, 699)(131, 702)(132, 565)(133, 568)(134, 703)(135, 707)(136, 708)(137, 711)(138, 569)(139, 570)(140, 713)(141, 716)(142, 572)(143, 718)(144, 721)(145, 573)(146, 722)(147, 726)(148, 575)(149, 729)(150, 577)(151, 731)(152, 734)(153, 578)(154, 581)(155, 735)(156, 739)(157, 674)(158, 582)(159, 742)(160, 720)(161, 583)(162, 585)(163, 745)(164, 748)(165, 751)(166, 586)(167, 752)(168, 728)(169, 588)(170, 757)(171, 590)(172, 759)(173, 762)(174, 591)(175, 594)(176, 763)(177, 768)(178, 769)(179, 772)(180, 595)(181, 596)(182, 775)(183, 777)(184, 597)(185, 778)(186, 782)(187, 600)(188, 643)(189, 786)(190, 601)(191, 603)(192, 787)(193, 791)(194, 793)(195, 604)(196, 796)(197, 606)(198, 797)(199, 800)(200, 607)(201, 610)(202, 801)(203, 805)(204, 806)(205, 611)(206, 808)(207, 810)(208, 612)(209, 811)(210, 815)(211, 614)(212, 817)(213, 616)(214, 819)(215, 821)(216, 617)(217, 620)(218, 822)(219, 826)(220, 828)(221, 621)(222, 622)(223, 761)(224, 831)(225, 623)(226, 832)(227, 626)(228, 835)(229, 837)(230, 627)(231, 771)(232, 629)(233, 841)(234, 646)(235, 630)(236, 632)(237, 843)(238, 846)(239, 848)(240, 633)(241, 849)(242, 654)(243, 635)(244, 852)(245, 637)(246, 854)(247, 855)(248, 638)(249, 641)(250, 784)(251, 764)(252, 859)(253, 642)(254, 783)(255, 862)(256, 645)(257, 776)(258, 844)(259, 649)(260, 842)(261, 864)(262, 650)(263, 788)(264, 830)(265, 651)(266, 653)(267, 867)(268, 767)(269, 851)(270, 839)(271, 656)(272, 870)(273, 658)(274, 807)(275, 709)(276, 659)(277, 662)(278, 737)(279, 872)(280, 873)(281, 754)(282, 663)(283, 664)(284, 877)(285, 717)(286, 665)(287, 878)(288, 881)(289, 668)(290, 743)(291, 669)(292, 671)(293, 883)(294, 885)(295, 887)(296, 672)(297, 740)(298, 736)(299, 890)(300, 675)(301, 678)(302, 749)(303, 893)(304, 894)(305, 679)(306, 895)(307, 680)(308, 897)(309, 899)(310, 682)(311, 684)(312, 902)(313, 904)(314, 685)(315, 688)(316, 905)(317, 907)(318, 909)(319, 689)(320, 690)(321, 760)(322, 692)(323, 911)(324, 693)(325, 695)(326, 913)(327, 915)(328, 916)(329, 696)(330, 917)(331, 698)(332, 918)(333, 700)(334, 920)(335, 701)(336, 704)(337, 921)(338, 898)(339, 889)(340, 705)(341, 903)(342, 706)(343, 923)(344, 750)(345, 710)(346, 712)(347, 925)(348, 929)(349, 714)(350, 931)(351, 715)(352, 932)(353, 756)(354, 933)(355, 719)(356, 746)(357, 723)(358, 744)(359, 935)(360, 724)(361, 926)(362, 725)(363, 727)(364, 871)(365, 755)(366, 730)(367, 901)(368, 732)(369, 733)(370, 906)(371, 919)(372, 938)(373, 738)(374, 939)(375, 928)(376, 741)(377, 942)(378, 747)(379, 880)(380, 944)(381, 753)(382, 875)(383, 912)(384, 758)(385, 850)(386, 765)(387, 766)(388, 946)(389, 868)(390, 947)(391, 770)(392, 773)(393, 949)(394, 865)(395, 774)(396, 950)(397, 779)(398, 952)(399, 780)(400, 953)(401, 781)(402, 954)(403, 825)(404, 785)(405, 956)(406, 958)(407, 789)(408, 790)(409, 792)(410, 960)(411, 794)(412, 824)(413, 795)(414, 962)(415, 853)(416, 798)(417, 827)(418, 799)(419, 802)(420, 856)(421, 803)(422, 955)(423, 804)(424, 964)(425, 809)(426, 869)(427, 812)(428, 967)(429, 813)(430, 814)(431, 816)(432, 818)(433, 857)(434, 820)(435, 823)(436, 968)(437, 829)(438, 957)(439, 833)(440, 847)(441, 969)(442, 861)(443, 834)(444, 966)(445, 836)(446, 838)(447, 840)(448, 948)(449, 845)(450, 961)(451, 945)(452, 858)(453, 860)(454, 963)(455, 970)(456, 863)(457, 965)(458, 866)(459, 937)(460, 874)(461, 876)(462, 934)(463, 879)(464, 882)(465, 971)(466, 884)(467, 886)(468, 888)(469, 908)(470, 891)(471, 924)(472, 892)(473, 972)(474, 896)(475, 936)(476, 900)(477, 940)(478, 910)(479, 943)(480, 930)(481, 914)(482, 922)(483, 927)(484, 941)(485, 951)(486, 959)
	local type(s) :: { ( 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph::
	v = 27 e = 486 f = 405
	degree seq :: [ 36^27 ]

E28.3315 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 3, 4})
Quotient :: edge
Aut^+ = $<648, 532>$ (small group id <648, 532>)
Aut   = $<648, 532>$ (small group id <648, 532>)
|r| :: 1
Presentation :: [ X1^3, X2^4, (X2^-1 * X1^-1)^3, X2 * X1^-1 * X2^-1 * X1 * X2^-2 * X1^-1 * X2 * X1^-1 * X2 * X1 * X2^-1 * X1 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 4)(3, 8, 10)(5, 13, 14)(6, 15, 17)(7, 18, 19)(9, 22, 23)(11, 26, 28)(12, 29, 20)(16, 34, 35)(21, 42, 43)(24, 48, 50)(25, 51, 44)(27, 53, 54)(30, 47, 60)(31, 61, 62)(32, 63, 64)(33, 65, 66)(36, 71, 73)(37, 74, 67)(38, 70, 76)(39, 77, 78)(40, 79, 80)(41, 81, 82)(45, 87, 88)(46, 89, 91)(49, 93, 94)(52, 99, 100)(55, 105, 107)(56, 108, 101)(57, 104, 110)(58, 111, 112)(59, 113, 114)(68, 127, 128)(69, 129, 131)(72, 133, 134)(75, 139, 140)(83, 151, 153)(84, 154, 155)(85, 156, 157)(86, 158, 159)(90, 164, 165)(92, 168, 169)(95, 174, 176)(96, 177, 170)(97, 173, 179)(98, 180, 181)(102, 186, 187)(103, 188, 190)(106, 192, 193)(109, 198, 199)(115, 209, 211)(116, 212, 205)(117, 208, 214)(118, 215, 216)(119, 217, 218)(120, 219, 220)(121, 221, 223)(122, 224, 123)(124, 226, 227)(125, 228, 229)(126, 230, 231)(130, 235, 236)(132, 238, 239)(135, 244, 246)(136, 247, 240)(137, 243, 248)(138, 249, 250)(141, 254, 256)(142, 213, 251)(143, 253, 258)(144, 259, 260)(145, 261, 262)(146, 263, 264)(147, 265, 267)(148, 207, 182)(149, 268, 269)(150, 270, 272)(152, 252, 273)(160, 282, 284)(161, 285, 286)(162, 287, 288)(163, 289, 191)(166, 184, 294)(167, 242, 290)(171, 296, 297)(172, 298, 300)(175, 301, 302)(178, 307, 197)(183, 312, 313)(185, 314, 315)(189, 319, 320)(194, 325, 327)(195, 328, 321)(196, 324, 329)(200, 333, 335)(201, 257, 330)(202, 332, 336)(203, 337, 338)(204, 339, 340)(206, 342, 311)(210, 345, 306)(222, 358, 359)(225, 331, 363)(232, 371, 373)(233, 374, 375)(234, 376, 360)(237, 323, 377)(241, 381, 382)(245, 384, 385)(255, 393, 350)(266, 406, 407)(271, 412, 413)(274, 416, 417)(275, 415, 419)(276, 420, 421)(277, 422, 423)(278, 424, 425)(279, 426, 427)(280, 428, 429)(281, 356, 355)(283, 391, 349)(291, 437, 438)(292, 439, 368)(293, 379, 440)(295, 442, 443)(299, 445, 446)(303, 357, 452)(304, 453, 447)(305, 450, 454)(308, 456, 458)(309, 418, 455)(310, 389, 459)(316, 465, 467)(317, 468, 469)(318, 470, 408)(322, 430, 472)(326, 474, 475)(334, 481, 398)(341, 485, 466)(343, 491, 448)(344, 367, 492)(346, 494, 496)(347, 497, 493)(348, 498, 500)(351, 501, 502)(352, 503, 504)(353, 505, 506)(354, 507, 509)(361, 513, 510)(362, 511, 514)(364, 515, 516)(365, 517, 518)(366, 519, 520)(369, 521, 522)(370, 404, 403)(372, 480, 397)(378, 508, 527)(380, 528, 529)(383, 530, 531)(386, 405, 533)(387, 534, 532)(388, 535, 537)(390, 479, 538)(392, 441, 539)(394, 541, 495)(395, 543, 540)(396, 544, 546)(399, 547, 548)(400, 549, 434)(401, 433, 550)(402, 551, 553)(409, 556, 554)(410, 489, 464)(411, 558, 476)(414, 449, 559)(431, 471, 571)(432, 499, 572)(435, 573, 574)(436, 575, 576)(444, 552, 568)(451, 478, 580)(457, 585, 562)(460, 490, 586)(461, 587, 588)(462, 583, 589)(463, 561, 557)(473, 569, 592)(477, 594, 593)(482, 567, 542)(483, 597, 596)(484, 598, 600)(486, 584, 525)(487, 524, 601)(488, 566, 565)(512, 605, 606)(523, 545, 611)(526, 612, 613)(536, 616, 608)(555, 620, 621)(560, 622, 624)(563, 625, 591)(564, 603, 627)(570, 629, 581)(577, 626, 632)(578, 631, 607)(579, 633, 634)(582, 635, 595)(590, 599, 637)(602, 610, 630)(604, 638, 614)(609, 618, 639)(615, 641, 636)(617, 623, 640)(619, 642, 628)(643, 645, 648)(644, 647, 646)(649, 651, 657, 653)(650, 654, 664, 655)(652, 659, 675, 660)(656, 668, 689, 669)(658, 672, 697, 673)(661, 678, 707, 679)(662, 680, 681, 663)(665, 684, 720, 685)(666, 686, 723, 687)(667, 688, 700, 674)(670, 692, 734, 693)(671, 694, 738, 695)(676, 703, 754, 704)(677, 705, 757, 706)(682, 715, 774, 716)(683, 717, 778, 718)(690, 731, 800, 732)(691, 733, 740, 696)(698, 743, 823, 744)(699, 745, 826, 746)(701, 749, 833, 750)(702, 751, 837, 752)(708, 763, 858, 764)(709, 765, 861, 766)(710, 767, 768, 711)(712, 769, 870, 770)(713, 771, 873, 772)(714, 773, 780, 719)(721, 783, 893, 784)(722, 785, 828, 786)(724, 789, 903, 790)(725, 791, 905, 792)(726, 793, 794, 727)(728, 795, 914, 796)(729, 760, 852, 797)(730, 798, 919, 799)(735, 808, 931, 809)(736, 810, 811, 737)(739, 814, 941, 815)(741, 818, 943, 819)(742, 820, 947, 821)(747, 830, 959, 831)(748, 832, 839, 753)(755, 842, 974, 843)(756, 844, 897, 845)(758, 848, 982, 849)(759, 850, 860, 851)(761, 853, 989, 854)(762, 855, 991, 856)(775, 880, 1020, 881)(776, 882, 816, 777)(779, 805, 927, 885)(781, 888, 1028, 889)(782, 890, 1031, 891)(787, 899, 1039, 900)(788, 801, 922, 901)(802, 923, 1066, 924)(803, 925, 926, 804)(806, 829, 958, 928)(807, 929, 1078, 930)(812, 938, 1030, 939)(813, 940, 992, 857)(817, 869, 868, 822)(824, 951, 1099, 952)(825, 953, 985, 954)(827, 956, 1105, 957)(834, 964, 1114, 965)(835, 966, 886, 836)(838, 877, 1016, 948)(840, 969, 1119, 970)(841, 971, 1121, 972)(846, 978, 1128, 979)(847, 872, 1010, 980)(859, 994, 1143, 995)(862, 996, 1147, 997)(863, 998, 895, 999)(864, 1000, 1001, 865)(866, 1002, 1156, 1003)(867, 1004, 1077, 1005)(871, 1008, 1160, 1009)(874, 1012, 1107, 1013)(875, 1014, 1015, 876)(878, 898, 1038, 1017)(879, 1018, 944, 1019)(883, 1025, 1120, 1026)(884, 1027, 1040, 902)(887, 913, 912, 892)(894, 1034, 1106, 1035)(896, 1036, 1184, 1037)(904, 1042, 1190, 1043)(906, 1044, 1193, 1045)(907, 1046, 976, 1047)(908, 1048, 1049, 909)(910, 1050, 1200, 1051)(911, 1052, 1170, 1053)(915, 1056, 1203, 1057)(916, 1058, 1205, 1059)(917, 973, 937, 918)(920, 936, 1084, 1062)(921, 932, 1079, 1063)(933, 1080, 1145, 1081)(934, 1082, 1083, 935)(942, 961, 1110, 1089)(945, 1092, 967, 946)(949, 1095, 1146, 1096)(950, 1097, 1227, 1098)(955, 1103, 1111, 962)(960, 1108, 1186, 1109)(963, 1112, 1029, 1113)(968, 1074, 1073, 981)(975, 1124, 1185, 1125)(977, 1126, 1243, 1127)(983, 1130, 1144, 1131)(984, 1132, 1247, 1133)(986, 1134, 1135, 987)(988, 1136, 1085, 1137)(990, 1115, 1177, 1138)(993, 1141, 1226, 1090)(1006, 1158, 1064, 1061)(1007, 1054, 1202, 1159)(1011, 1021, 1091, 1163)(1022, 1171, 1191, 1172)(1023, 1173, 1174, 1024)(1032, 1180, 1192, 1065)(1033, 1161, 1251, 1149)(1041, 1188, 1263, 1176)(1055, 1060, 1207, 1139)(1067, 1208, 1271, 1209)(1068, 1210, 1101, 1211)(1069, 1151, 1150, 1070)(1071, 1212, 1274, 1213)(1072, 1214, 1249, 1215)(1075, 1216, 1276, 1217)(1076, 1164, 1255, 1218)(1086, 1225, 1093, 1087)(1088, 1175, 1262, 1178)(1094, 1223, 1222, 1104)(1100, 1229, 1248, 1230)(1102, 1231, 1236, 1232)(1116, 1238, 1245, 1153)(1117, 1152, 1239, 1118)(1122, 1241, 1246, 1162)(1123, 1204, 1266, 1195)(1129, 1244, 1270, 1219)(1140, 1155, 1154, 1142)(1148, 1233, 1181, 1250)(1157, 1168, 1257, 1252)(1165, 1256, 1182, 1221)(1166, 1197, 1196, 1167)(1169, 1234, 1284, 1258)(1179, 1253, 1261, 1183)(1187, 1199, 1198, 1189)(1194, 1264, 1206, 1265)(1201, 1237, 1282, 1267)(1220, 1278, 1293, 1279)(1224, 1280, 1294, 1281)(1228, 1240, 1268, 1273)(1235, 1283, 1242, 1260)(1254, 1286, 1292, 1275)(1259, 1288, 1296, 1289)(1269, 1290, 1295, 1287)(1272, 1285, 1277, 1291)
	L = (1, 649)(2, 650)(3, 651)(4, 652)(5, 653)(6, 654)(7, 655)(8, 656)(9, 657)(10, 658)(11, 659)(12, 660)(13, 661)(14, 662)(15, 663)(16, 664)(17, 665)(18, 666)(19, 667)(20, 668)(21, 669)(22, 670)(23, 671)(24, 672)(25, 673)(26, 674)(27, 675)(28, 676)(29, 677)(30, 678)(31, 679)(32, 680)(33, 681)(34, 682)(35, 683)(36, 684)(37, 685)(38, 686)(39, 687)(40, 688)(41, 689)(42, 690)(43, 691)(44, 692)(45, 693)(46, 694)(47, 695)(48, 696)(49, 697)(50, 698)(51, 699)(52, 700)(53, 701)(54, 702)(55, 703)(56, 704)(57, 705)(58, 706)(59, 707)(60, 708)(61, 709)(62, 710)(63, 711)(64, 712)(65, 713)(66, 714)(67, 715)(68, 716)(69, 717)(70, 718)(71, 719)(72, 720)(73, 721)(74, 722)(75, 723)(76, 724)(77, 725)(78, 726)(79, 727)(80, 728)(81, 729)(82, 730)(83, 731)(84, 732)(85, 733)(86, 734)(87, 735)(88, 736)(89, 737)(90, 738)(91, 739)(92, 740)(93, 741)(94, 742)(95, 743)(96, 744)(97, 745)(98, 746)(99, 747)(100, 748)(101, 749)(102, 750)(103, 751)(104, 752)(105, 753)(106, 754)(107, 755)(108, 756)(109, 757)(110, 758)(111, 759)(112, 760)(113, 761)(114, 762)(115, 763)(116, 764)(117, 765)(118, 766)(119, 767)(120, 768)(121, 769)(122, 770)(123, 771)(124, 772)(125, 773)(126, 774)(127, 775)(128, 776)(129, 777)(130, 778)(131, 779)(132, 780)(133, 781)(134, 782)(135, 783)(136, 784)(137, 785)(138, 786)(139, 787)(140, 788)(141, 789)(142, 790)(143, 791)(144, 792)(145, 793)(146, 794)(147, 795)(148, 796)(149, 797)(150, 798)(151, 799)(152, 800)(153, 801)(154, 802)(155, 803)(156, 804)(157, 805)(158, 806)(159, 807)(160, 808)(161, 809)(162, 810)(163, 811)(164, 812)(165, 813)(166, 814)(167, 815)(168, 816)(169, 817)(170, 818)(171, 819)(172, 820)(173, 821)(174, 822)(175, 823)(176, 824)(177, 825)(178, 826)(179, 827)(180, 828)(181, 829)(182, 830)(183, 831)(184, 832)(185, 833)(186, 834)(187, 835)(188, 836)(189, 837)(190, 838)(191, 839)(192, 840)(193, 841)(194, 842)(195, 843)(196, 844)(197, 845)(198, 846)(199, 847)(200, 848)(201, 849)(202, 850)(203, 851)(204, 852)(205, 853)(206, 854)(207, 855)(208, 856)(209, 857)(210, 858)(211, 859)(212, 860)(213, 861)(214, 862)(215, 863)(216, 864)(217, 865)(218, 866)(219, 867)(220, 868)(221, 869)(222, 870)(223, 871)(224, 872)(225, 873)(226, 874)(227, 875)(228, 876)(229, 877)(230, 878)(231, 879)(232, 880)(233, 881)(234, 882)(235, 883)(236, 884)(237, 885)(238, 886)(239, 887)(240, 888)(241, 889)(242, 890)(243, 891)(244, 892)(245, 893)(246, 894)(247, 895)(248, 896)(249, 897)(250, 898)(251, 899)(252, 900)(253, 901)(254, 902)(255, 903)(256, 904)(257, 905)(258, 906)(259, 907)(260, 908)(261, 909)(262, 910)(263, 911)(264, 912)(265, 913)(266, 914)(267, 915)(268, 916)(269, 917)(270, 918)(271, 919)(272, 920)(273, 921)(274, 922)(275, 923)(276, 924)(277, 925)(278, 926)(279, 927)(280, 928)(281, 929)(282, 930)(283, 931)(284, 932)(285, 933)(286, 934)(287, 935)(288, 936)(289, 937)(290, 938)(291, 939)(292, 940)(293, 941)(294, 942)(295, 943)(296, 944)(297, 945)(298, 946)(299, 947)(300, 948)(301, 949)(302, 950)(303, 951)(304, 952)(305, 953)(306, 954)(307, 955)(308, 956)(309, 957)(310, 958)(311, 959)(312, 960)(313, 961)(314, 962)(315, 963)(316, 964)(317, 965)(318, 966)(319, 967)(320, 968)(321, 969)(322, 970)(323, 971)(324, 972)(325, 973)(326, 974)(327, 975)(328, 976)(329, 977)(330, 978)(331, 979)(332, 980)(333, 981)(334, 982)(335, 983)(336, 984)(337, 985)(338, 986)(339, 987)(340, 988)(341, 989)(342, 990)(343, 991)(344, 992)(345, 993)(346, 994)(347, 995)(348, 996)(349, 997)(350, 998)(351, 999)(352, 1000)(353, 1001)(354, 1002)(355, 1003)(356, 1004)(357, 1005)(358, 1006)(359, 1007)(360, 1008)(361, 1009)(362, 1010)(363, 1011)(364, 1012)(365, 1013)(366, 1014)(367, 1015)(368, 1016)(369, 1017)(370, 1018)(371, 1019)(372, 1020)(373, 1021)(374, 1022)(375, 1023)(376, 1024)(377, 1025)(378, 1026)(379, 1027)(380, 1028)(381, 1029)(382, 1030)(383, 1031)(384, 1032)(385, 1033)(386, 1034)(387, 1035)(388, 1036)(389, 1037)(390, 1038)(391, 1039)(392, 1040)(393, 1041)(394, 1042)(395, 1043)(396, 1044)(397, 1045)(398, 1046)(399, 1047)(400, 1048)(401, 1049)(402, 1050)(403, 1051)(404, 1052)(405, 1053)(406, 1054)(407, 1055)(408, 1056)(409, 1057)(410, 1058)(411, 1059)(412, 1060)(413, 1061)(414, 1062)(415, 1063)(416, 1064)(417, 1065)(418, 1066)(419, 1067)(420, 1068)(421, 1069)(422, 1070)(423, 1071)(424, 1072)(425, 1073)(426, 1074)(427, 1075)(428, 1076)(429, 1077)(430, 1078)(431, 1079)(432, 1080)(433, 1081)(434, 1082)(435, 1083)(436, 1084)(437, 1085)(438, 1086)(439, 1087)(440, 1088)(441, 1089)(442, 1090)(443, 1091)(444, 1092)(445, 1093)(446, 1094)(447, 1095)(448, 1096)(449, 1097)(450, 1098)(451, 1099)(452, 1100)(453, 1101)(454, 1102)(455, 1103)(456, 1104)(457, 1105)(458, 1106)(459, 1107)(460, 1108)(461, 1109)(462, 1110)(463, 1111)(464, 1112)(465, 1113)(466, 1114)(467, 1115)(468, 1116)(469, 1117)(470, 1118)(471, 1119)(472, 1120)(473, 1121)(474, 1122)(475, 1123)(476, 1124)(477, 1125)(478, 1126)(479, 1127)(480, 1128)(481, 1129)(482, 1130)(483, 1131)(484, 1132)(485, 1133)(486, 1134)(487, 1135)(488, 1136)(489, 1137)(490, 1138)(491, 1139)(492, 1140)(493, 1141)(494, 1142)(495, 1143)(496, 1144)(497, 1145)(498, 1146)(499, 1147)(500, 1148)(501, 1149)(502, 1150)(503, 1151)(504, 1152)(505, 1153)(506, 1154)(507, 1155)(508, 1156)(509, 1157)(510, 1158)(511, 1159)(512, 1160)(513, 1161)(514, 1162)(515, 1163)(516, 1164)(517, 1165)(518, 1166)(519, 1167)(520, 1168)(521, 1169)(522, 1170)(523, 1171)(524, 1172)(525, 1173)(526, 1174)(527, 1175)(528, 1176)(529, 1177)(530, 1178)(531, 1179)(532, 1180)(533, 1181)(534, 1182)(535, 1183)(536, 1184)(537, 1185)(538, 1186)(539, 1187)(540, 1188)(541, 1189)(542, 1190)(543, 1191)(544, 1192)(545, 1193)(546, 1194)(547, 1195)(548, 1196)(549, 1197)(550, 1198)(551, 1199)(552, 1200)(553, 1201)(554, 1202)(555, 1203)(556, 1204)(557, 1205)(558, 1206)(559, 1207)(560, 1208)(561, 1209)(562, 1210)(563, 1211)(564, 1212)(565, 1213)(566, 1214)(567, 1215)(568, 1216)(569, 1217)(570, 1218)(571, 1219)(572, 1220)(573, 1221)(574, 1222)(575, 1223)(576, 1224)(577, 1225)(578, 1226)(579, 1227)(580, 1228)(581, 1229)(582, 1230)(583, 1231)(584, 1232)(585, 1233)(586, 1234)(587, 1235)(588, 1236)(589, 1237)(590, 1238)(591, 1239)(592, 1240)(593, 1241)(594, 1242)(595, 1243)(596, 1244)(597, 1245)(598, 1246)(599, 1247)(600, 1248)(601, 1249)(602, 1250)(603, 1251)(604, 1252)(605, 1253)(606, 1254)(607, 1255)(608, 1256)(609, 1257)(610, 1258)(611, 1259)(612, 1260)(613, 1261)(614, 1262)(615, 1263)(616, 1264)(617, 1265)(618, 1266)(619, 1267)(620, 1268)(621, 1269)(622, 1270)(623, 1271)(624, 1272)(625, 1273)(626, 1274)(627, 1275)(628, 1276)(629, 1277)(630, 1278)(631, 1279)(632, 1280)(633, 1281)(634, 1282)(635, 1283)(636, 1284)(637, 1285)(638, 1286)(639, 1287)(640, 1288)(641, 1289)(642, 1290)(643, 1291)(644, 1292)(645, 1293)(646, 1294)(647, 1295)(648, 1296)
	local type(s) :: { ( 6^3 ), ( 6^4 ) }
Outer automorphisms :: chiral
Dual of E28.3316
Transitivity :: ET+
Graph:: simple bipartite
	v = 378 e = 648 f = 216
	degree seq :: [ 3^216, 4^162 ]

E28.3316 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 3, 4})
Quotient :: loop
Aut^+ = $<648, 532>$ (small group id <648, 532>)
Aut   = $<648, 532>$ (small group id <648, 532>)
|r| :: 1
Presentation :: [ X1^3, X2^3, (X2^-1 * X1^-1)^4, X2 * X1 * X2 * X1^-1 * X2^-1 * X1 * X2 * X1^-1 * X2^-1 * X1^-1 * X2 * X1^-1 * X2 * X1^-1, X1 * X2^-1 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1 * X2^-1 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2^-1, X2^-1 * X1 * X2 * X1^-1 * X2 * X1^-1 * X2 * X1^-1 * X2^-1 * X1^-1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2^-1 * X1^-1, (X2 * X1 * X2^-1 * X1 * X2 * X1^-1)^3, (X1 * X2 * X1^-1 * X2 * X1^-1 * X2^-1)^3 ]
Map:: polyhedral non-degenerate
	R = (1, 649, 2, 650, 4, 652)(3, 651, 8, 656, 9, 657)(5, 653, 12, 660, 13, 661)(6, 654, 14, 662, 15, 663)(7, 655, 16, 664, 17, 665)(10, 658, 22, 670, 23, 671)(11, 659, 24, 672, 25, 673)(18, 666, 38, 686, 39, 687)(19, 667, 40, 688, 41, 689)(20, 668, 42, 690, 43, 691)(21, 669, 44, 692, 45, 693)(26, 674, 53, 701, 54, 702)(27, 675, 55, 703, 56, 704)(28, 676, 57, 705, 58, 706)(29, 677, 59, 707, 30, 678)(31, 679, 60, 708, 61, 709)(32, 680, 62, 710, 63, 711)(33, 681, 64, 712, 65, 713)(34, 682, 66, 714, 67, 715)(35, 683, 68, 716, 69, 717)(36, 684, 70, 718, 71, 719)(37, 685, 72, 720, 46, 694)(47, 695, 86, 734, 87, 735)(48, 696, 88, 736, 89, 737)(49, 697, 90, 738, 91, 739)(50, 698, 92, 740, 93, 741)(51, 699, 94, 742, 95, 743)(52, 700, 96, 744, 97, 745)(73, 721, 133, 781, 134, 782)(74, 722, 135, 783, 136, 784)(75, 723, 137, 785, 138, 786)(76, 724, 139, 787, 140, 788)(77, 725, 141, 789, 142, 790)(78, 726, 143, 791, 79, 727)(80, 728, 144, 792, 145, 793)(81, 729, 146, 794, 147, 795)(82, 730, 148, 796, 149, 797)(83, 731, 150, 798, 151, 799)(84, 732, 152, 800, 153, 801)(85, 733, 154, 802, 155, 803)(98, 746, 177, 825, 178, 826)(99, 747, 179, 827, 180, 828)(100, 748, 181, 829, 182, 830)(101, 749, 183, 831, 184, 832)(102, 750, 185, 833, 186, 834)(103, 751, 187, 835, 104, 752)(105, 753, 188, 836, 189, 837)(106, 754, 190, 838, 191, 839)(107, 755, 192, 840, 193, 841)(108, 756, 194, 842, 195, 843)(109, 757, 196, 844, 197, 845)(110, 758, 198, 846, 199, 847)(111, 759, 200, 848, 201, 849)(112, 760, 202, 850, 203, 851)(113, 761, 204, 852, 114, 762)(115, 763, 205, 853, 206, 854)(116, 764, 207, 855, 208, 856)(117, 765, 209, 857, 210, 858)(118, 766, 211, 859, 212, 860)(119, 767, 213, 861, 214, 862)(120, 768, 215, 863, 216, 864)(121, 769, 217, 865, 218, 866)(122, 770, 219, 867, 220, 868)(123, 771, 221, 869, 222, 870)(124, 772, 223, 871, 224, 872)(125, 773, 225, 873, 226, 874)(126, 774, 227, 875, 127, 775)(128, 776, 228, 876, 229, 877)(129, 777, 230, 878, 231, 879)(130, 778, 232, 880, 233, 881)(131, 779, 234, 882, 235, 883)(132, 780, 236, 884, 237, 885)(156, 804, 273, 921, 274, 922)(157, 805, 275, 923, 276, 924)(158, 806, 277, 925, 278, 926)(159, 807, 271, 919, 160, 808)(161, 809, 279, 927, 251, 899)(162, 810, 250, 898, 280, 928)(163, 811, 281, 929, 282, 930)(164, 812, 283, 931, 284, 932)(165, 813, 285, 933, 286, 934)(166, 814, 287, 935, 288, 936)(167, 815, 289, 937, 290, 938)(168, 816, 291, 939, 292, 940)(169, 817, 293, 941, 265, 913)(170, 818, 264, 912, 294, 942)(171, 819, 295, 943, 296, 944)(172, 820, 297, 945, 173, 821)(174, 822, 298, 946, 299, 947)(175, 823, 300, 948, 301, 949)(176, 824, 302, 950, 238, 886)(239, 887, 374, 1022, 375, 1023)(240, 888, 376, 1024, 377, 1025)(241, 889, 378, 1026, 355, 1003)(242, 890, 379, 1027, 318, 966)(243, 891, 380, 1028, 381, 1029)(244, 892, 382, 1030, 308, 956)(245, 893, 307, 955, 383, 1031)(246, 894, 384, 1032, 385, 1033)(247, 895, 386, 1034, 387, 1035)(248, 896, 388, 1036, 249, 897)(252, 900, 389, 1037, 390, 1038)(253, 901, 391, 1039, 349, 997)(254, 902, 348, 996, 392, 1040)(255, 903, 393, 1041, 394, 1042)(256, 904, 395, 1043, 396, 1044)(257, 905, 334, 982, 315, 963)(258, 906, 314, 962, 397, 1045)(259, 907, 398, 1046, 399, 1047)(260, 908, 400, 1048, 401, 1049)(261, 909, 402, 1050, 403, 1051)(262, 910, 404, 1052, 405, 1053)(263, 911, 406, 1054, 407, 1055)(266, 914, 327, 975, 408, 1056)(267, 915, 409, 1057, 410, 1058)(268, 916, 411, 1059, 269, 917)(270, 918, 412, 1060, 413, 1061)(272, 920, 414, 1062, 303, 951)(304, 952, 447, 1095, 448, 1096)(305, 953, 449, 1097, 450, 1098)(306, 954, 451, 1099, 452, 1100)(309, 957, 372, 1020, 453, 1101)(310, 958, 454, 1102, 455, 1103)(311, 959, 456, 1104, 457, 1105)(312, 960, 458, 1106, 313, 961)(316, 964, 459, 1107, 460, 1108)(317, 965, 461, 1109, 462, 1110)(319, 967, 463, 1111, 464, 1112)(320, 968, 465, 1113, 466, 1114)(321, 969, 467, 1115, 468, 1116)(322, 970, 469, 1117, 470, 1118)(323, 971, 471, 1119, 472, 1120)(324, 972, 344, 992, 473, 1121)(325, 973, 474, 1122, 475, 1123)(326, 974, 476, 1124, 477, 1125)(328, 976, 478, 1126, 364, 1012)(329, 977, 479, 1127, 480, 1128)(330, 978, 481, 1129, 354, 1002)(331, 979, 353, 1001, 482, 1130)(332, 980, 483, 1131, 484, 1132)(333, 981, 485, 1133, 486, 1134)(335, 983, 487, 1135, 431, 1079)(336, 984, 430, 1078, 488, 1136)(337, 985, 489, 1137, 490, 1138)(338, 986, 491, 1139, 492, 1140)(339, 987, 420, 1068, 361, 1009)(340, 988, 360, 1008, 493, 1141)(341, 989, 494, 1142, 495, 1143)(342, 990, 496, 1144, 497, 1145)(343, 991, 498, 1146, 499, 1147)(345, 993, 500, 1148, 501, 1149)(346, 994, 502, 1150, 347, 995)(350, 998, 503, 1151, 504, 1152)(351, 999, 505, 1153, 506, 1154)(352, 1000, 507, 1155, 508, 1156)(356, 1004, 509, 1157, 510, 1158)(357, 1005, 511, 1159, 512, 1160)(358, 1006, 513, 1161, 359, 1007)(362, 1010, 514, 1162, 515, 1163)(363, 1011, 516, 1164, 517, 1165)(365, 1013, 518, 1166, 519, 1167)(366, 1014, 520, 1168, 521, 1169)(367, 1015, 522, 1170, 523, 1171)(368, 1016, 524, 1172, 525, 1173)(369, 1017, 426, 1074, 526, 1174)(370, 1018, 527, 1175, 528, 1176)(371, 1019, 529, 1177, 530, 1178)(373, 1021, 531, 1179, 443, 1091)(415, 1063, 562, 1210, 563, 1211)(416, 1064, 564, 1212, 436, 1084)(417, 1065, 435, 1083, 565, 1213)(418, 1066, 566, 1214, 539, 1187)(419, 1067, 538, 1186, 567, 1215)(421, 1069, 568, 1216, 569, 1217)(422, 1070, 440, 1088, 570, 1218)(423, 1071, 571, 1219, 572, 1220)(424, 1072, 573, 1221, 574, 1222)(425, 1073, 575, 1223, 535, 1183)(427, 1075, 576, 1224, 543, 1191)(428, 1076, 561, 1209, 429, 1077)(432, 1080, 577, 1225, 578, 1226)(433, 1081, 579, 1227, 551, 1199)(434, 1082, 550, 1198, 580, 1228)(437, 1085, 581, 1229, 545, 1193)(438, 1086, 544, 1192, 439, 1087)(441, 1089, 582, 1230, 583, 1231)(442, 1090, 584, 1232, 585, 1233)(444, 1092, 537, 1185, 586, 1234)(445, 1093, 587, 1235, 588, 1236)(446, 1094, 589, 1237, 554, 1202)(532, 1180, 548, 1196, 540, 1188)(533, 1181, 592, 1240, 598, 1246)(534, 1182, 623, 1271, 624, 1272)(536, 1184, 625, 1273, 626, 1274)(541, 1189, 627, 1275, 590, 1238)(542, 1190, 628, 1276, 629, 1277)(546, 1194, 622, 1270, 597, 1245)(547, 1195, 596, 1244, 630, 1278)(549, 1197, 560, 1208, 631, 1279)(552, 1200, 621, 1269, 594, 1242)(553, 1201, 632, 1280, 601, 1249)(555, 1203, 633, 1281, 634, 1282)(556, 1204, 617, 1265, 605, 1253)(557, 1205, 614, 1262, 603, 1251)(558, 1206, 602, 1250, 559, 1207)(591, 1239, 604, 1252, 599, 1247)(593, 1241, 613, 1261, 637, 1285)(595, 1243, 620, 1268, 612, 1260)(600, 1248, 608, 1256, 638, 1286)(606, 1254, 610, 1258, 607, 1255)(609, 1257, 616, 1264, 639, 1287)(611, 1259, 640, 1288, 619, 1267)(615, 1263, 636, 1284, 641, 1289)(618, 1266, 635, 1283, 642, 1290)(643, 1291, 646, 1294, 648, 1296)(644, 1292, 645, 1293, 647, 1295)
	L = (1, 651)(2, 654)(3, 653)(4, 658)(5, 649)(6, 655)(7, 650)(8, 666)(9, 668)(10, 659)(11, 652)(12, 674)(13, 676)(14, 678)(15, 680)(16, 682)(17, 684)(18, 667)(19, 656)(20, 669)(21, 657)(22, 694)(23, 696)(24, 698)(25, 700)(26, 675)(27, 660)(28, 677)(29, 661)(30, 679)(31, 662)(32, 681)(33, 663)(34, 683)(35, 664)(36, 685)(37, 665)(38, 673)(39, 721)(40, 723)(41, 725)(42, 727)(43, 729)(44, 731)(45, 733)(46, 695)(47, 670)(48, 697)(49, 671)(50, 699)(51, 672)(52, 686)(53, 693)(54, 746)(55, 748)(56, 750)(57, 752)(58, 754)(59, 756)(60, 758)(61, 760)(62, 762)(63, 764)(64, 766)(65, 768)(66, 713)(67, 769)(68, 771)(69, 773)(70, 775)(71, 777)(72, 779)(73, 722)(74, 687)(75, 724)(76, 688)(77, 726)(78, 689)(79, 728)(80, 690)(81, 730)(82, 691)(83, 732)(84, 692)(85, 701)(86, 804)(87, 806)(88, 808)(89, 810)(90, 812)(91, 814)(92, 739)(93, 815)(94, 817)(95, 819)(96, 821)(97, 823)(98, 747)(99, 702)(100, 749)(101, 703)(102, 751)(103, 704)(104, 753)(105, 705)(106, 755)(107, 706)(108, 757)(109, 707)(110, 759)(111, 708)(112, 761)(113, 709)(114, 763)(115, 710)(116, 765)(117, 711)(118, 767)(119, 712)(120, 714)(121, 770)(122, 715)(123, 772)(124, 716)(125, 774)(126, 717)(127, 776)(128, 718)(129, 778)(130, 719)(131, 780)(132, 720)(133, 886)(134, 888)(135, 869)(136, 890)(137, 784)(138, 891)(139, 893)(140, 895)(141, 897)(142, 899)(143, 901)(144, 902)(145, 904)(146, 850)(147, 906)(148, 908)(149, 910)(150, 797)(151, 911)(152, 913)(153, 915)(154, 917)(155, 919)(156, 805)(157, 734)(158, 807)(159, 735)(160, 809)(161, 736)(162, 811)(163, 737)(164, 813)(165, 738)(166, 740)(167, 816)(168, 741)(169, 818)(170, 742)(171, 820)(172, 743)(173, 822)(174, 744)(175, 824)(176, 745)(177, 951)(178, 953)(179, 955)(180, 884)(181, 828)(182, 957)(183, 860)(184, 959)(185, 961)(186, 963)(187, 965)(188, 967)(189, 969)(190, 948)(191, 877)(192, 971)(193, 973)(194, 841)(195, 974)(196, 941)(197, 976)(198, 845)(199, 977)(200, 979)(201, 981)(202, 905)(203, 793)(204, 983)(205, 984)(206, 986)(207, 925)(208, 988)(209, 990)(210, 992)(211, 858)(212, 958)(213, 830)(214, 993)(215, 995)(216, 791)(217, 997)(218, 999)(219, 1001)(220, 783)(221, 868)(222, 1003)(223, 932)(224, 1005)(225, 1007)(226, 1009)(227, 1011)(228, 1013)(229, 970)(230, 838)(231, 947)(232, 1016)(233, 1018)(234, 881)(235, 1019)(236, 829)(237, 1021)(238, 887)(239, 781)(240, 889)(241, 782)(242, 785)(243, 892)(244, 786)(245, 894)(246, 787)(247, 896)(248, 788)(249, 898)(250, 789)(251, 900)(252, 790)(253, 864)(254, 903)(255, 792)(256, 851)(257, 794)(258, 907)(259, 795)(260, 909)(261, 796)(262, 798)(263, 912)(264, 799)(265, 914)(266, 800)(267, 916)(268, 801)(269, 918)(270, 802)(271, 920)(272, 803)(273, 885)(274, 1063)(275, 1065)(276, 1067)(277, 987)(278, 854)(279, 1061)(280, 1070)(281, 1072)(282, 1074)(283, 930)(284, 1004)(285, 870)(286, 1075)(287, 1077)(288, 852)(289, 1079)(290, 1081)(291, 1083)(292, 844)(293, 940)(294, 1085)(295, 1087)(296, 1036)(297, 1090)(298, 1092)(299, 1015)(300, 878)(301, 837)(302, 1094)(303, 952)(304, 825)(305, 954)(306, 826)(307, 956)(308, 827)(309, 861)(310, 831)(311, 960)(312, 832)(313, 962)(314, 833)(315, 964)(316, 834)(317, 966)(318, 835)(319, 968)(320, 836)(321, 949)(322, 839)(323, 972)(324, 840)(325, 842)(326, 975)(327, 843)(328, 846)(329, 978)(330, 847)(331, 980)(332, 848)(333, 982)(334, 849)(335, 936)(336, 985)(337, 853)(338, 926)(339, 855)(340, 989)(341, 856)(342, 991)(343, 857)(344, 859)(345, 994)(346, 862)(347, 996)(348, 863)(349, 998)(350, 865)(351, 1000)(352, 866)(353, 1002)(354, 867)(355, 933)(356, 871)(357, 1006)(358, 872)(359, 1008)(360, 873)(361, 1010)(362, 874)(363, 1012)(364, 875)(365, 1014)(366, 876)(367, 879)(368, 1017)(369, 880)(370, 882)(371, 1020)(372, 883)(373, 921)(374, 1164)(375, 1135)(376, 1043)(377, 1144)(378, 1181)(379, 1129)(380, 1110)(381, 1183)(382, 1185)(383, 1100)(384, 1049)(385, 1187)(386, 1131)(387, 1188)(388, 1089)(389, 1190)(390, 1176)(391, 1038)(392, 1191)(393, 1193)(394, 1195)(395, 1180)(396, 1023)(397, 1197)(398, 1199)(399, 1178)(400, 1047)(401, 1186)(402, 1031)(403, 1201)(404, 1127)(405, 950)(406, 1202)(407, 1204)(408, 1205)(409, 1207)(410, 1106)(411, 1209)(412, 1149)(413, 1069)(414, 1140)(415, 1064)(416, 922)(417, 1066)(418, 923)(419, 1068)(420, 924)(421, 927)(422, 1071)(423, 928)(424, 1073)(425, 929)(426, 931)(427, 1076)(428, 934)(429, 1078)(430, 935)(431, 1080)(432, 937)(433, 1082)(434, 938)(435, 1084)(436, 939)(437, 1086)(438, 942)(439, 1088)(440, 943)(441, 944)(442, 1091)(443, 945)(444, 1093)(445, 946)(446, 1053)(447, 1230)(448, 1237)(449, 1115)(450, 1240)(451, 1141)(452, 1050)(453, 1242)(454, 1120)(455, 1245)(456, 1235)(457, 1247)(458, 1136)(459, 1248)(460, 1175)(461, 1108)(462, 1174)(463, 1027)(464, 1249)(465, 1251)(466, 1158)(467, 1239)(468, 1096)(469, 1253)(470, 1152)(471, 1118)(472, 1244)(473, 1210)(474, 1232)(475, 1062)(476, 1139)(477, 1221)(478, 1212)(479, 1165)(480, 1051)(481, 1111)(482, 1156)(483, 1145)(484, 1033)(485, 1214)(486, 1255)(487, 1044)(488, 1058)(489, 1105)(490, 1257)(491, 1254)(492, 1123)(493, 1241)(494, 1098)(495, 1025)(496, 1143)(497, 1034)(498, 1130)(499, 1259)(500, 1260)(501, 1161)(502, 1059)(503, 1107)(504, 1119)(505, 1117)(506, 1262)(507, 1218)(508, 1146)(509, 1173)(510, 1252)(511, 1113)(512, 1265)(513, 1060)(514, 1266)(515, 1022)(516, 1163)(517, 1052)(518, 1126)(519, 1267)(520, 1269)(521, 1055)(522, 1270)(523, 1226)(524, 1171)(525, 1264)(526, 1028)(527, 1109)(528, 1039)(529, 1037)(530, 1048)(531, 1030)(532, 1024)(533, 1182)(534, 1026)(535, 1184)(536, 1029)(537, 1179)(538, 1032)(539, 1132)(540, 1189)(541, 1035)(542, 1177)(543, 1192)(544, 1040)(545, 1194)(546, 1041)(547, 1196)(548, 1042)(549, 1198)(550, 1045)(551, 1200)(552, 1046)(553, 1128)(554, 1203)(555, 1054)(556, 1169)(557, 1206)(558, 1056)(559, 1208)(560, 1057)(561, 1150)(562, 1233)(563, 1147)(564, 1166)(565, 1228)(566, 1222)(567, 1277)(568, 1160)(569, 1282)(570, 1263)(571, 1154)(572, 1125)(573, 1220)(574, 1133)(575, 1213)(576, 1272)(577, 1162)(578, 1172)(579, 1170)(580, 1223)(581, 1168)(582, 1238)(583, 1122)(584, 1231)(585, 1121)(586, 1274)(587, 1246)(588, 1103)(589, 1116)(590, 1095)(591, 1097)(592, 1142)(593, 1099)(594, 1243)(595, 1101)(596, 1102)(597, 1236)(598, 1104)(599, 1137)(600, 1151)(601, 1250)(602, 1112)(603, 1159)(604, 1114)(605, 1153)(606, 1124)(607, 1256)(608, 1134)(609, 1258)(610, 1138)(611, 1211)(612, 1261)(613, 1148)(614, 1219)(615, 1155)(616, 1157)(617, 1216)(618, 1225)(619, 1268)(620, 1167)(621, 1229)(622, 1227)(623, 1234)(624, 1284)(625, 1279)(626, 1271)(627, 1292)(628, 1217)(629, 1283)(630, 1286)(631, 1291)(632, 1285)(633, 1275)(634, 1276)(635, 1215)(636, 1224)(637, 1294)(638, 1293)(639, 1290)(640, 1289)(641, 1296)(642, 1295)(643, 1273)(644, 1281)(645, 1278)(646, 1280)(647, 1287)(648, 1288)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: chiral
Dual of E28.3315
Transitivity :: ET+ VT+
Graph:: simple
	v = 216 e = 648 f = 378
	degree seq :: [ 6^216 ]

E28.3317 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 6})
Quotient :: regular
Aut^+ = $<648, 545>$ (small group id <648, 545>)
Aut   = $<1296, 2909>$ (small group id <1296, 2909>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T2 * T1^-1)^4, T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1 * T2, T1^-2 * T2 * T1^-2 * T2 * T1 * T2 * T1^3 * T2 * T1^-2 * T2 * T1 * T2 * T1^-1, (T1 * T2 * T1^-1 * T2 * T1^-3 * T2 * T1)^2, (T2 * T1^2)^6, (T2 * T1^-2 * T2 * T1^2)^3 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 29, 18, 8)(6, 13, 25, 46, 28, 14)(9, 19, 35, 61, 37, 20)(12, 23, 42, 73, 45, 24)(16, 31, 54, 93, 56, 32)(17, 33, 57, 82, 48, 26)(21, 38, 66, 111, 68, 39)(22, 40, 69, 115, 72, 41)(27, 49, 83, 124, 75, 43)(30, 52, 89, 147, 92, 53)(34, 59, 100, 164, 102, 60)(36, 63, 106, 174, 108, 64)(44, 76, 125, 192, 117, 70)(47, 79, 131, 215, 134, 80)(50, 85, 140, 229, 142, 86)(51, 87, 143, 233, 146, 88)(55, 95, 155, 242, 149, 90)(58, 98, 161, 262, 163, 99)(62, 104, 170, 277, 173, 105)(65, 109, 178, 289, 180, 110)(67, 71, 118, 193, 185, 113)(74, 121, 199, 322, 202, 122)(77, 127, 208, 336, 210, 128)(78, 129, 211, 340, 214, 130)(81, 135, 220, 349, 217, 132)(84, 138, 226, 364, 228, 139)(91, 150, 243, 311, 235, 144)(94, 153, 249, 392, 251, 154)(96, 157, 255, 308, 257, 158)(97, 159, 258, 316, 261, 160)(101, 145, 236, 312, 270, 166)(103, 168, 273, 411, 276, 169)(107, 176, 285, 418, 279, 171)(112, 182, 295, 430, 298, 183)(114, 186, 301, 434, 303, 187)(116, 189, 306, 438, 309, 190)(119, 195, 315, 447, 317, 196)(120, 197, 318, 450, 321, 198)(123, 203, 327, 456, 324, 200)(126, 206, 333, 464, 335, 207)(133, 218, 350, 300, 342, 212)(136, 222, 357, 297, 359, 223)(137, 224, 360, 302, 363, 225)(141, 213, 343, 282, 372, 231)(148, 239, 381, 504, 384, 240)(151, 245, 337, 469, 389, 246)(152, 247, 338, 209, 320, 248)(156, 253, 328, 461, 396, 254)(162, 264, 334, 466, 400, 259)(165, 267, 409, 527, 412, 268)(167, 271, 413, 454, 323, 272)(172, 280, 330, 204, 329, 274)(175, 283, 421, 536, 422, 284)(177, 287, 319, 201, 325, 288)(179, 275, 332, 205, 331, 291)(181, 293, 428, 541, 429, 294)(184, 299, 433, 544, 432, 296)(188, 304, 436, 547, 437, 305)(191, 310, 442, 553, 440, 307)(194, 313, 444, 556, 446, 314)(216, 346, 292, 427, 480, 347)(219, 352, 448, 560, 483, 353)(221, 355, 443, 386, 286, 356)(227, 366, 445, 390, 250, 361)(230, 369, 493, 420, 281, 370)(232, 373, 495, 551, 439, 374)(234, 375, 497, 594, 492, 368)(237, 378, 500, 598, 501, 379)(238, 380, 502, 582, 476, 344)(241, 365, 490, 552, 505, 382)(244, 387, 508, 604, 509, 388)(252, 351, 482, 414, 516, 395)(256, 391, 511, 402, 518, 397)(260, 401, 489, 385, 485, 358)(263, 403, 455, 557, 523, 404)(265, 405, 503, 383, 506, 406)(266, 407, 525, 587, 526, 408)(269, 367, 491, 584, 479, 410)(278, 416, 449, 561, 533, 417)(290, 425, 540, 554, 441, 426)(326, 458, 435, 546, 568, 459)(339, 471, 577, 543, 431, 472)(341, 473, 579, 629, 575, 468)(345, 477, 583, 524, 563, 452)(348, 465, 573, 513, 393, 478)(354, 457, 567, 496, 588, 484)(362, 488, 572, 481, 570, 462)(371, 467, 574, 625, 565, 494)(376, 463, 571, 619, 566, 498)(377, 499, 597, 617, 580, 474)(394, 514, 599, 532, 591, 487)(398, 519, 578, 627, 569, 460)(399, 520, 600, 634, 608, 521)(415, 530, 611, 638, 612, 531)(419, 534, 602, 635, 613, 535)(423, 475, 581, 512, 606, 537)(424, 538, 589, 515, 607, 539)(451, 562, 623, 642, 621, 559)(453, 564, 624, 593, 522, 549)(470, 558, 620, 640, 616, 576)(486, 590, 622, 641, 618, 555)(507, 595, 529, 586, 630, 603)(510, 596, 626, 610, 528, 585)(517, 605, 636, 614, 545, 548)(542, 550, 615, 639, 628, 592)(601, 631, 643, 647, 645, 633)(609, 632, 644, 648, 646, 637)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 34)(19, 36)(20, 31)(23, 43)(24, 44)(25, 47)(28, 50)(29, 51)(32, 55)(33, 58)(35, 62)(37, 65)(38, 67)(39, 63)(40, 70)(41, 71)(42, 74)(45, 77)(46, 78)(48, 81)(49, 84)(52, 90)(53, 91)(54, 94)(56, 96)(57, 97)(59, 101)(60, 98)(61, 103)(64, 107)(66, 112)(68, 114)(69, 116)(72, 119)(73, 120)(75, 123)(76, 126)(79, 132)(80, 133)(82, 136)(83, 137)(85, 141)(86, 138)(87, 144)(88, 145)(89, 148)(92, 151)(93, 152)(95, 156)(99, 162)(100, 165)(102, 167)(104, 171)(105, 172)(106, 175)(108, 177)(109, 179)(110, 153)(111, 181)(113, 184)(115, 188)(117, 191)(118, 194)(121, 200)(122, 201)(124, 204)(125, 205)(127, 209)(128, 206)(129, 212)(130, 213)(131, 216)(134, 219)(135, 221)(139, 227)(140, 230)(142, 232)(143, 234)(146, 237)(147, 238)(149, 241)(150, 244)(154, 250)(155, 252)(157, 256)(158, 253)(159, 259)(160, 260)(161, 263)(163, 265)(164, 266)(166, 269)(168, 274)(169, 275)(170, 278)(173, 281)(174, 282)(176, 286)(178, 290)(180, 292)(182, 296)(183, 297)(185, 300)(186, 302)(187, 283)(189, 307)(190, 308)(192, 311)(193, 312)(195, 316)(196, 313)(197, 319)(198, 320)(199, 323)(202, 326)(203, 328)(207, 334)(208, 337)(210, 339)(211, 341)(214, 344)(215, 345)(217, 348)(218, 351)(220, 354)(222, 358)(223, 355)(224, 361)(225, 362)(226, 365)(228, 367)(229, 368)(231, 371)(233, 370)(235, 376)(236, 377)(239, 382)(240, 383)(242, 385)(243, 386)(245, 340)(246, 387)(247, 390)(248, 391)(249, 393)(251, 394)(254, 350)(255, 304)(257, 398)(258, 399)(261, 305)(262, 402)(264, 331)(267, 410)(268, 411)(270, 366)(271, 414)(272, 403)(273, 407)(276, 415)(277, 378)(279, 404)(280, 419)(284, 400)(285, 388)(287, 423)(288, 356)(289, 424)(291, 406)(293, 357)(294, 363)(295, 431)(298, 412)(299, 396)(301, 435)(303, 381)(306, 439)(309, 441)(310, 443)(314, 445)(315, 448)(317, 449)(318, 451)(321, 452)(322, 453)(324, 455)(325, 457)(327, 460)(329, 462)(330, 461)(332, 463)(333, 465)(335, 467)(336, 468)(338, 470)(342, 474)(343, 475)(346, 478)(347, 479)(349, 481)(352, 450)(353, 482)(359, 486)(360, 487)(364, 489)(369, 494)(372, 466)(373, 496)(374, 490)(375, 498)(379, 499)(380, 503)(384, 507)(389, 510)(392, 512)(395, 515)(397, 517)(401, 522)(405, 524)(408, 516)(409, 528)(413, 529)(416, 523)(417, 532)(418, 518)(420, 534)(421, 505)(422, 520)(425, 506)(426, 541)(427, 508)(428, 538)(429, 542)(430, 530)(432, 513)(433, 535)(434, 545)(436, 548)(437, 549)(438, 550)(440, 552)(442, 555)(444, 557)(446, 558)(447, 559)(454, 565)(456, 566)(458, 547)(459, 567)(464, 572)(469, 576)(471, 578)(472, 573)(473, 580)(476, 581)(477, 584)(480, 585)(483, 586)(484, 587)(485, 589)(488, 592)(491, 593)(492, 588)(493, 595)(495, 596)(497, 569)(500, 599)(501, 600)(502, 601)(504, 602)(509, 605)(511, 563)(514, 582)(519, 554)(521, 560)(525, 570)(526, 609)(527, 590)(531, 571)(533, 610)(536, 597)(537, 562)(539, 604)(540, 603)(543, 608)(544, 606)(546, 591)(551, 616)(553, 617)(556, 619)(561, 622)(564, 625)(568, 626)(574, 628)(575, 627)(577, 630)(579, 618)(583, 631)(594, 632)(598, 633)(607, 637)(611, 634)(612, 620)(613, 623)(614, 635)(615, 640)(621, 641)(624, 643)(629, 644)(636, 646)(638, 645)(639, 647)(642, 648)
	local type(s) :: { ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E28.3318
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 108 e = 324 f = 162
	degree seq :: [ 6^108 ]

E28.3318 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 6})
Quotient :: regular
Aut^+ = $<648, 545>$ (small group id <648, 545>)
Aut   = $<1296, 2909>$ (small group id <1296, 2909>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^4, (F * T1)^2, (F * T2)^2, (T2 * T1)^6, (T1^-1 * T2)^6, T1 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^2 * T2 * T1^-1 * T2, T1^-1 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-1, T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^2 * T2 * T1 * T2 * T1^-2 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 28, 17)(10, 18, 31, 19)(14, 24, 41, 25)(15, 26, 44, 27)(21, 35, 59, 36)(22, 37, 62, 38)(23, 39, 65, 40)(29, 48, 79, 49)(30, 50, 82, 51)(32, 53, 86, 54)(33, 55, 89, 56)(34, 57, 92, 58)(42, 69, 110, 70)(43, 71, 112, 72)(45, 74, 117, 75)(46, 76, 96, 60)(47, 77, 121, 78)(52, 84, 131, 85)(61, 97, 150, 98)(63, 100, 155, 101)(64, 102, 135, 87)(66, 104, 161, 105)(67, 106, 164, 107)(68, 108, 167, 109)(73, 115, 177, 116)(80, 91, 141, 125)(81, 126, 194, 127)(83, 129, 199, 130)(88, 136, 210, 137)(90, 139, 215, 140)(93, 143, 221, 144)(94, 145, 224, 146)(95, 147, 227, 148)(99, 153, 236, 154)(103, 159, 202, 160)(111, 171, 260, 172)(113, 174, 211, 175)(114, 176, 248, 162)(118, 166, 253, 181)(119, 182, 217, 183)(120, 184, 277, 185)(122, 187, 280, 188)(123, 189, 282, 190)(124, 191, 285, 192)(128, 197, 290, 198)(132, 203, 295, 204)(133, 205, 298, 206)(134, 207, 301, 208)(138, 213, 308, 214)(142, 219, 186, 220)(149, 230, 327, 231)(151, 233, 195, 234)(152, 235, 318, 222)(156, 226, 322, 240)(157, 241, 201, 242)(158, 243, 342, 244)(163, 239, 338, 249)(165, 251, 355, 252)(168, 255, 360, 256)(169, 237, 335, 257)(170, 258, 364, 259)(173, 225, 321, 263)(178, 268, 377, 269)(179, 270, 379, 271)(180, 272, 382, 273)(193, 287, 397, 288)(196, 289, 390, 281)(200, 284, 393, 294)(209, 304, 417, 305)(212, 307, 408, 296)(216, 300, 412, 312)(218, 313, 428, 314)(223, 311, 426, 319)(228, 324, 445, 325)(229, 309, 423, 326)(232, 299, 411, 330)(238, 336, 460, 337)(245, 345, 469, 346)(246, 347, 472, 348)(247, 349, 475, 350)(250, 353, 478, 354)(254, 358, 267, 359)(261, 368, 275, 369)(262, 370, 419, 361)(264, 363, 430, 372)(265, 373, 279, 374)(266, 375, 492, 376)(274, 384, 498, 385)(276, 386, 418, 378)(278, 381, 429, 388)(283, 392, 420, 306)(286, 395, 505, 396)(291, 402, 416, 303)(292, 403, 499, 404)(293, 405, 409, 297)(302, 414, 521, 415)(310, 424, 527, 425)(315, 431, 533, 432)(316, 433, 536, 434)(317, 435, 539, 436)(320, 439, 541, 440)(323, 443, 334, 444)(328, 450, 340, 451)(329, 452, 399, 446)(331, 448, 366, 454)(332, 455, 344, 456)(333, 457, 548, 458)(339, 464, 551, 465)(341, 466, 398, 459)(343, 462, 365, 468)(351, 476, 513, 437)(352, 477, 523, 470)(356, 474, 532, 481)(357, 482, 518, 442)(362, 480, 559, 486)(367, 473, 514, 488)(371, 490, 545, 447)(380, 494, 550, 463)(383, 496, 572, 497)(387, 500, 517, 471)(389, 493, 567, 489)(391, 491, 569, 501)(394, 503, 401, 504)(400, 485, 564, 508)(406, 479, 558, 510)(407, 511, 579, 512)(410, 515, 580, 516)(413, 519, 422, 520)(421, 525, 585, 526)(427, 530, 588, 531)(438, 540, 507, 534)(441, 538, 487, 542)(449, 537, 495, 546)(453, 547, 583, 522)(461, 549, 587, 529)(467, 552, 502, 535)(483, 561, 612, 562)(484, 563, 582, 544)(506, 524, 584, 577)(509, 528, 586, 578)(543, 595, 630, 596)(553, 591, 629, 593)(554, 605, 633, 606)(555, 607, 557, 590)(556, 608, 635, 609)(560, 603, 631, 597)(565, 604, 574, 613)(566, 601, 632, 600)(568, 599, 624, 611)(570, 592, 571, 614)(573, 602, 627, 615)(575, 610, 636, 616)(576, 617, 638, 618)(581, 621, 640, 622)(589, 619, 639, 620)(594, 628, 641, 623)(598, 626, 642, 625)(634, 644, 647, 646)(637, 643, 648, 645)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 29)(17, 30)(18, 32)(19, 33)(20, 34)(24, 42)(25, 43)(26, 45)(27, 46)(28, 47)(31, 52)(35, 60)(36, 61)(37, 63)(38, 64)(39, 66)(40, 67)(41, 68)(44, 73)(48, 80)(49, 81)(50, 83)(51, 69)(53, 87)(54, 88)(55, 90)(56, 91)(57, 93)(58, 94)(59, 95)(62, 99)(65, 103)(70, 111)(71, 113)(72, 114)(74, 118)(75, 119)(76, 120)(77, 122)(78, 123)(79, 124)(82, 128)(84, 132)(85, 133)(86, 134)(89, 138)(92, 142)(96, 149)(97, 151)(98, 152)(100, 156)(101, 157)(102, 158)(104, 162)(105, 163)(106, 165)(107, 166)(108, 168)(109, 169)(110, 170)(112, 173)(115, 178)(116, 179)(117, 180)(121, 186)(125, 193)(126, 195)(127, 196)(129, 200)(130, 201)(131, 202)(135, 209)(136, 211)(137, 212)(139, 216)(140, 217)(141, 218)(143, 222)(144, 223)(145, 225)(146, 226)(147, 228)(148, 229)(150, 232)(153, 237)(154, 238)(155, 239)(159, 245)(160, 246)(161, 247)(164, 250)(167, 254)(171, 261)(172, 262)(174, 264)(175, 265)(176, 266)(177, 267)(181, 274)(182, 275)(183, 276)(184, 278)(185, 279)(187, 281)(188, 273)(189, 283)(190, 284)(191, 286)(192, 269)(194, 252)(197, 291)(198, 292)(199, 293)(203, 296)(204, 297)(205, 299)(206, 300)(207, 302)(208, 303)(210, 306)(213, 309)(214, 310)(215, 311)(219, 315)(220, 316)(221, 317)(224, 320)(227, 323)(230, 328)(231, 329)(233, 331)(234, 332)(235, 333)(236, 334)(240, 339)(241, 340)(242, 341)(243, 343)(244, 344)(248, 351)(249, 352)(251, 356)(253, 357)(255, 361)(256, 362)(257, 363)(258, 365)(259, 366)(260, 367)(263, 371)(268, 378)(270, 380)(271, 381)(272, 383)(277, 387)(280, 389)(282, 391)(285, 394)(287, 398)(288, 399)(289, 400)(290, 401)(294, 406)(295, 407)(298, 410)(301, 413)(304, 418)(305, 419)(307, 421)(308, 422)(312, 427)(313, 429)(314, 430)(318, 437)(319, 438)(321, 441)(322, 442)(324, 446)(325, 447)(326, 448)(327, 449)(330, 453)(335, 459)(336, 461)(337, 462)(338, 463)(342, 467)(345, 470)(346, 471)(347, 473)(348, 474)(349, 458)(350, 451)(353, 454)(354, 479)(355, 480)(358, 483)(359, 484)(360, 485)(364, 487)(368, 423)(369, 489)(370, 414)(372, 491)(373, 416)(374, 439)(375, 445)(376, 493)(377, 455)(379, 465)(382, 495)(384, 440)(385, 499)(386, 436)(388, 425)(390, 476)(392, 502)(393, 482)(395, 452)(396, 506)(397, 507)(402, 450)(403, 496)(404, 468)(405, 509)(408, 513)(409, 514)(411, 517)(412, 518)(415, 522)(417, 523)(420, 524)(424, 528)(426, 529)(428, 532)(431, 534)(432, 535)(433, 537)(434, 538)(435, 526)(443, 543)(444, 544)(456, 515)(457, 521)(460, 531)(464, 516)(466, 512)(469, 553)(472, 554)(475, 555)(477, 556)(478, 557)(481, 560)(486, 565)(488, 566)(490, 568)(492, 570)(494, 571)(497, 573)(498, 574)(500, 575)(501, 530)(503, 576)(504, 563)(505, 525)(508, 511)(510, 527)(519, 581)(520, 582)(533, 589)(536, 590)(539, 591)(540, 592)(541, 593)(542, 594)(545, 597)(546, 598)(547, 599)(548, 600)(549, 601)(550, 602)(551, 603)(552, 604)(558, 610)(559, 611)(561, 613)(562, 614)(564, 609)(567, 605)(569, 606)(572, 608)(577, 616)(578, 615)(579, 619)(580, 620)(583, 623)(584, 624)(585, 625)(586, 626)(587, 627)(588, 628)(595, 631)(596, 632)(607, 634)(612, 637)(617, 636)(618, 635)(621, 641)(622, 642)(629, 643)(630, 644)(633, 645)(638, 646)(639, 647)(640, 648)
	local type(s) :: { ( 6^4 ) }
Outer automorphisms :: reflexible
Dual of E28.3317
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 162 e = 324 f = 108
	degree seq :: [ 4^162 ]

E28.3319 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 6})
Quotient :: edge
Aut^+ = $<648, 545>$ (small group id <648, 545>)
Aut   = $<1296, 2909>$ (small group id <1296, 2909>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T2)^2, (F * T1)^2, (T2^-1 * T1)^6, T2 * T1 * T2^-2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^2 * T1 * T2 * T1 * T2^-1 * T1, T2^-1 * T1 * T2^-2 * T1 * T2^2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-1, T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2 * T1 * T2^-2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 ]
Map:: polytopal
	R = (1, 3, 8, 4)(2, 5, 11, 6)(7, 13, 24, 14)(9, 16, 29, 17)(10, 18, 32, 19)(12, 21, 37, 22)(15, 26, 45, 27)(20, 34, 58, 35)(23, 39, 65, 40)(25, 42, 70, 43)(28, 47, 78, 48)(30, 50, 83, 51)(31, 52, 84, 53)(33, 55, 89, 56)(36, 60, 97, 61)(38, 63, 102, 64)(41, 67, 107, 68)(44, 72, 114, 73)(46, 75, 119, 76)(49, 80, 126, 81)(54, 86, 135, 87)(57, 91, 142, 92)(59, 94, 147, 95)(62, 99, 154, 100)(66, 104, 162, 105)(69, 109, 170, 110)(71, 112, 175, 113)(74, 116, 180, 117)(77, 120, 185, 121)(79, 123, 190, 124)(82, 128, 198, 129)(85, 132, 205, 133)(88, 137, 213, 138)(90, 140, 218, 141)(93, 144, 223, 145)(96, 148, 228, 149)(98, 151, 233, 152)(101, 156, 241, 157)(103, 159, 246, 160)(106, 164, 253, 165)(108, 167, 257, 168)(111, 172, 262, 173)(115, 177, 269, 178)(118, 182, 276, 183)(122, 187, 283, 188)(125, 192, 286, 193)(127, 195, 288, 196)(130, 200, 293, 201)(131, 202, 296, 203)(134, 207, 303, 208)(136, 210, 307, 211)(139, 215, 312, 216)(143, 220, 319, 221)(146, 225, 326, 226)(150, 230, 333, 231)(153, 235, 336, 236)(155, 238, 338, 239)(158, 243, 343, 244)(161, 248, 189, 249)(163, 251, 355, 252)(166, 255, 194, 256)(169, 258, 362, 259)(171, 260, 199, 261)(174, 264, 370, 265)(176, 267, 375, 268)(179, 271, 380, 272)(181, 273, 382, 274)(184, 277, 385, 278)(186, 280, 390, 281)(191, 284, 396, 285)(197, 289, 400, 290)(204, 298, 232, 299)(206, 301, 417, 302)(209, 305, 237, 306)(212, 308, 424, 309)(214, 310, 242, 311)(217, 314, 432, 315)(219, 317, 437, 318)(222, 321, 442, 322)(224, 323, 444, 324)(227, 327, 447, 328)(229, 330, 452, 331)(234, 334, 458, 335)(240, 339, 462, 340)(245, 345, 431, 346)(247, 348, 412, 349)(250, 352, 472, 353)(254, 357, 476, 358)(263, 367, 485, 368)(266, 372, 487, 373)(270, 378, 492, 379)(275, 383, 496, 384)(279, 387, 500, 388)(282, 392, 502, 393)(287, 398, 490, 377)(291, 402, 494, 381)(292, 403, 426, 376)(294, 405, 453, 406)(295, 407, 369, 408)(297, 410, 350, 411)(300, 414, 514, 415)(304, 419, 518, 420)(313, 429, 527, 430)(316, 434, 529, 435)(320, 440, 534, 441)(325, 445, 538, 446)(329, 449, 542, 450)(332, 454, 544, 455)(337, 460, 532, 439)(341, 464, 536, 443)(342, 465, 364, 438)(344, 467, 391, 468)(347, 469, 366, 470)(351, 459, 371, 471)(354, 474, 530, 436)(356, 475, 548, 457)(359, 478, 561, 479)(360, 480, 563, 481)(361, 427, 525, 451)(363, 482, 550, 461)(365, 483, 389, 423)(374, 416, 516, 488)(386, 499, 551, 463)(394, 504, 404, 505)(395, 418, 517, 506)(397, 433, 513, 413)(399, 425, 524, 508)(401, 448, 541, 509)(409, 511, 428, 512)(421, 520, 587, 521)(422, 522, 589, 523)(456, 546, 466, 547)(473, 555, 608, 556)(477, 559, 501, 560)(484, 566, 610, 558)(486, 568, 507, 562)(489, 569, 498, 570)(491, 572, 609, 557)(493, 573, 612, 565)(495, 554, 607, 564)(497, 574, 613, 567)(503, 571, 615, 576)(510, 575, 616, 578)(515, 581, 622, 582)(519, 585, 543, 586)(526, 592, 624, 584)(528, 594, 549, 588)(531, 595, 540, 596)(533, 598, 623, 583)(535, 599, 626, 591)(537, 580, 621, 590)(539, 600, 627, 593)(545, 597, 629, 602)(552, 601, 630, 604)(553, 605, 633, 606)(577, 617, 638, 618)(579, 619, 639, 620)(603, 631, 644, 632)(611, 635, 645, 634)(614, 636, 646, 637)(625, 641, 647, 640)(628, 642, 648, 643)(649, 650)(651, 655)(652, 657)(653, 658)(654, 660)(656, 663)(659, 668)(661, 671)(662, 673)(664, 676)(665, 678)(666, 679)(667, 681)(669, 684)(670, 686)(672, 689)(674, 692)(675, 694)(677, 697)(680, 702)(682, 705)(683, 707)(685, 710)(687, 712)(688, 714)(690, 717)(691, 719)(693, 722)(695, 725)(696, 727)(698, 730)(699, 700)(701, 733)(703, 736)(704, 738)(706, 741)(708, 744)(709, 746)(711, 749)(713, 751)(715, 754)(716, 756)(718, 759)(720, 761)(721, 763)(723, 766)(724, 768)(726, 770)(728, 773)(729, 775)(731, 778)(732, 779)(734, 782)(735, 784)(737, 787)(739, 789)(740, 791)(742, 794)(743, 796)(745, 798)(747, 801)(748, 803)(750, 806)(752, 809)(753, 811)(755, 814)(757, 817)(758, 819)(760, 822)(762, 824)(764, 827)(765, 829)(767, 832)(769, 834)(771, 837)(772, 839)(774, 842)(776, 845)(777, 847)(780, 852)(781, 854)(783, 857)(785, 860)(786, 862)(788, 865)(790, 867)(792, 870)(793, 872)(795, 875)(797, 877)(799, 880)(800, 882)(802, 885)(804, 888)(805, 890)(807, 893)(808, 895)(810, 898)(812, 900)(813, 902)(815, 863)(816, 906)(818, 868)(820, 858)(821, 911)(823, 914)(825, 861)(826, 918)(828, 871)(830, 923)(831, 881)(833, 927)(835, 930)(836, 884)(838, 874)(840, 933)(841, 879)(843, 935)(844, 937)(846, 939)(848, 940)(849, 942)(850, 943)(851, 945)(853, 948)(855, 950)(856, 952)(859, 956)(864, 961)(866, 964)(869, 968)(873, 973)(876, 977)(878, 980)(883, 983)(886, 985)(887, 987)(889, 989)(891, 990)(892, 992)(894, 995)(896, 998)(897, 999)(899, 1002)(901, 1004)(903, 1007)(904, 1008)(905, 1009)(907, 1011)(908, 1012)(909, 1013)(910, 1014)(912, 1017)(913, 1019)(915, 1022)(916, 1024)(917, 1025)(919, 1027)(920, 1029)(921, 1000)(922, 1031)(924, 1005)(925, 996)(926, 1034)(928, 1037)(929, 1039)(931, 1042)(932, 1043)(934, 1045)(936, 1047)(938, 1049)(941, 1052)(944, 1057)(946, 1060)(947, 1061)(949, 1064)(951, 1066)(953, 1069)(954, 1070)(955, 1071)(957, 1073)(958, 1074)(959, 1075)(960, 1076)(962, 1079)(963, 1081)(965, 1084)(966, 1086)(967, 1087)(969, 1089)(970, 1091)(971, 1062)(972, 1093)(974, 1067)(975, 1058)(976, 1096)(978, 1099)(979, 1101)(981, 1104)(982, 1105)(984, 1107)(986, 1109)(988, 1111)(991, 1114)(993, 1116)(994, 1078)(997, 1059)(1001, 1121)(1003, 1083)(1006, 1125)(1010, 1098)(1015, 1132)(1016, 1056)(1018, 1134)(1020, 1106)(1021, 1065)(1023, 1137)(1026, 1139)(1028, 1141)(1030, 1143)(1032, 1145)(1033, 1146)(1035, 1110)(1036, 1072)(1038, 1149)(1040, 1115)(1041, 1151)(1044, 1082)(1046, 1155)(1048, 1097)(1050, 1158)(1051, 1113)(1053, 1102)(1054, 1055)(1063, 1163)(1068, 1167)(1077, 1174)(1080, 1176)(1085, 1179)(1088, 1181)(1090, 1183)(1092, 1185)(1094, 1187)(1095, 1188)(1100, 1191)(1103, 1193)(1108, 1197)(1112, 1200)(1117, 1201)(1118, 1171)(1119, 1202)(1120, 1184)(1122, 1164)(1123, 1205)(1124, 1206)(1126, 1208)(1127, 1210)(1128, 1195)(1129, 1160)(1130, 1212)(1131, 1213)(1133, 1215)(1135, 1182)(1136, 1204)(1138, 1219)(1140, 1177)(1142, 1162)(1144, 1190)(1147, 1223)(1148, 1186)(1150, 1220)(1152, 1225)(1153, 1170)(1154, 1221)(1156, 1222)(1157, 1199)(1159, 1227)(1161, 1228)(1165, 1231)(1166, 1232)(1168, 1234)(1169, 1236)(1172, 1238)(1173, 1239)(1175, 1241)(1178, 1230)(1180, 1245)(1189, 1249)(1192, 1246)(1194, 1251)(1196, 1247)(1198, 1248)(1203, 1240)(1207, 1242)(1209, 1259)(1211, 1244)(1214, 1229)(1216, 1233)(1217, 1262)(1218, 1237)(1224, 1252)(1226, 1250)(1235, 1273)(1243, 1276)(1253, 1275)(1254, 1270)(1255, 1282)(1256, 1268)(1257, 1280)(1258, 1277)(1260, 1283)(1261, 1267)(1263, 1272)(1264, 1279)(1265, 1278)(1266, 1271)(1269, 1288)(1274, 1289)(1281, 1290)(1284, 1287)(1285, 1292)(1286, 1291)(1293, 1296)(1294, 1295)
	L = (1, 649)(2, 650)(3, 651)(4, 652)(5, 653)(6, 654)(7, 655)(8, 656)(9, 657)(10, 658)(11, 659)(12, 660)(13, 661)(14, 662)(15, 663)(16, 664)(17, 665)(18, 666)(19, 667)(20, 668)(21, 669)(22, 670)(23, 671)(24, 672)(25, 673)(26, 674)(27, 675)(28, 676)(29, 677)(30, 678)(31, 679)(32, 680)(33, 681)(34, 682)(35, 683)(36, 684)(37, 685)(38, 686)(39, 687)(40, 688)(41, 689)(42, 690)(43, 691)(44, 692)(45, 693)(46, 694)(47, 695)(48, 696)(49, 697)(50, 698)(51, 699)(52, 700)(53, 701)(54, 702)(55, 703)(56, 704)(57, 705)(58, 706)(59, 707)(60, 708)(61, 709)(62, 710)(63, 711)(64, 712)(65, 713)(66, 714)(67, 715)(68, 716)(69, 717)(70, 718)(71, 719)(72, 720)(73, 721)(74, 722)(75, 723)(76, 724)(77, 725)(78, 726)(79, 727)(80, 728)(81, 729)(82, 730)(83, 731)(84, 732)(85, 733)(86, 734)(87, 735)(88, 736)(89, 737)(90, 738)(91, 739)(92, 740)(93, 741)(94, 742)(95, 743)(96, 744)(97, 745)(98, 746)(99, 747)(100, 748)(101, 749)(102, 750)(103, 751)(104, 752)(105, 753)(106, 754)(107, 755)(108, 756)(109, 757)(110, 758)(111, 759)(112, 760)(113, 761)(114, 762)(115, 763)(116, 764)(117, 765)(118, 766)(119, 767)(120, 768)(121, 769)(122, 770)(123, 771)(124, 772)(125, 773)(126, 774)(127, 775)(128, 776)(129, 777)(130, 778)(131, 779)(132, 780)(133, 781)(134, 782)(135, 783)(136, 784)(137, 785)(138, 786)(139, 787)(140, 788)(141, 789)(142, 790)(143, 791)(144, 792)(145, 793)(146, 794)(147, 795)(148, 796)(149, 797)(150, 798)(151, 799)(152, 800)(153, 801)(154, 802)(155, 803)(156, 804)(157, 805)(158, 806)(159, 807)(160, 808)(161, 809)(162, 810)(163, 811)(164, 812)(165, 813)(166, 814)(167, 815)(168, 816)(169, 817)(170, 818)(171, 819)(172, 820)(173, 821)(174, 822)(175, 823)(176, 824)(177, 825)(178, 826)(179, 827)(180, 828)(181, 829)(182, 830)(183, 831)(184, 832)(185, 833)(186, 834)(187, 835)(188, 836)(189, 837)(190, 838)(191, 839)(192, 840)(193, 841)(194, 842)(195, 843)(196, 844)(197, 845)(198, 846)(199, 847)(200, 848)(201, 849)(202, 850)(203, 851)(204, 852)(205, 853)(206, 854)(207, 855)(208, 856)(209, 857)(210, 858)(211, 859)(212, 860)(213, 861)(214, 862)(215, 863)(216, 864)(217, 865)(218, 866)(219, 867)(220, 868)(221, 869)(222, 870)(223, 871)(224, 872)(225, 873)(226, 874)(227, 875)(228, 876)(229, 877)(230, 878)(231, 879)(232, 880)(233, 881)(234, 882)(235, 883)(236, 884)(237, 885)(238, 886)(239, 887)(240, 888)(241, 889)(242, 890)(243, 891)(244, 892)(245, 893)(246, 894)(247, 895)(248, 896)(249, 897)(250, 898)(251, 899)(252, 900)(253, 901)(254, 902)(255, 903)(256, 904)(257, 905)(258, 906)(259, 907)(260, 908)(261, 909)(262, 910)(263, 911)(264, 912)(265, 913)(266, 914)(267, 915)(268, 916)(269, 917)(270, 918)(271, 919)(272, 920)(273, 921)(274, 922)(275, 923)(276, 924)(277, 925)(278, 926)(279, 927)(280, 928)(281, 929)(282, 930)(283, 931)(284, 932)(285, 933)(286, 934)(287, 935)(288, 936)(289, 937)(290, 938)(291, 939)(292, 940)(293, 941)(294, 942)(295, 943)(296, 944)(297, 945)(298, 946)(299, 947)(300, 948)(301, 949)(302, 950)(303, 951)(304, 952)(305, 953)(306, 954)(307, 955)(308, 956)(309, 957)(310, 958)(311, 959)(312, 960)(313, 961)(314, 962)(315, 963)(316, 964)(317, 965)(318, 966)(319, 967)(320, 968)(321, 969)(322, 970)(323, 971)(324, 972)(325, 973)(326, 974)(327, 975)(328, 976)(329, 977)(330, 978)(331, 979)(332, 980)(333, 981)(334, 982)(335, 983)(336, 984)(337, 985)(338, 986)(339, 987)(340, 988)(341, 989)(342, 990)(343, 991)(344, 992)(345, 993)(346, 994)(347, 995)(348, 996)(349, 997)(350, 998)(351, 999)(352, 1000)(353, 1001)(354, 1002)(355, 1003)(356, 1004)(357, 1005)(358, 1006)(359, 1007)(360, 1008)(361, 1009)(362, 1010)(363, 1011)(364, 1012)(365, 1013)(366, 1014)(367, 1015)(368, 1016)(369, 1017)(370, 1018)(371, 1019)(372, 1020)(373, 1021)(374, 1022)(375, 1023)(376, 1024)(377, 1025)(378, 1026)(379, 1027)(380, 1028)(381, 1029)(382, 1030)(383, 1031)(384, 1032)(385, 1033)(386, 1034)(387, 1035)(388, 1036)(389, 1037)(390, 1038)(391, 1039)(392, 1040)(393, 1041)(394, 1042)(395, 1043)(396, 1044)(397, 1045)(398, 1046)(399, 1047)(400, 1048)(401, 1049)(402, 1050)(403, 1051)(404, 1052)(405, 1053)(406, 1054)(407, 1055)(408, 1056)(409, 1057)(410, 1058)(411, 1059)(412, 1060)(413, 1061)(414, 1062)(415, 1063)(416, 1064)(417, 1065)(418, 1066)(419, 1067)(420, 1068)(421, 1069)(422, 1070)(423, 1071)(424, 1072)(425, 1073)(426, 1074)(427, 1075)(428, 1076)(429, 1077)(430, 1078)(431, 1079)(432, 1080)(433, 1081)(434, 1082)(435, 1083)(436, 1084)(437, 1085)(438, 1086)(439, 1087)(440, 1088)(441, 1089)(442, 1090)(443, 1091)(444, 1092)(445, 1093)(446, 1094)(447, 1095)(448, 1096)(449, 1097)(450, 1098)(451, 1099)(452, 1100)(453, 1101)(454, 1102)(455, 1103)(456, 1104)(457, 1105)(458, 1106)(459, 1107)(460, 1108)(461, 1109)(462, 1110)(463, 1111)(464, 1112)(465, 1113)(466, 1114)(467, 1115)(468, 1116)(469, 1117)(470, 1118)(471, 1119)(472, 1120)(473, 1121)(474, 1122)(475, 1123)(476, 1124)(477, 1125)(478, 1126)(479, 1127)(480, 1128)(481, 1129)(482, 1130)(483, 1131)(484, 1132)(485, 1133)(486, 1134)(487, 1135)(488, 1136)(489, 1137)(490, 1138)(491, 1139)(492, 1140)(493, 1141)(494, 1142)(495, 1143)(496, 1144)(497, 1145)(498, 1146)(499, 1147)(500, 1148)(501, 1149)(502, 1150)(503, 1151)(504, 1152)(505, 1153)(506, 1154)(507, 1155)(508, 1156)(509, 1157)(510, 1158)(511, 1159)(512, 1160)(513, 1161)(514, 1162)(515, 1163)(516, 1164)(517, 1165)(518, 1166)(519, 1167)(520, 1168)(521, 1169)(522, 1170)(523, 1171)(524, 1172)(525, 1173)(526, 1174)(527, 1175)(528, 1176)(529, 1177)(530, 1178)(531, 1179)(532, 1180)(533, 1181)(534, 1182)(535, 1183)(536, 1184)(537, 1185)(538, 1186)(539, 1187)(540, 1188)(541, 1189)(542, 1190)(543, 1191)(544, 1192)(545, 1193)(546, 1194)(547, 1195)(548, 1196)(549, 1197)(550, 1198)(551, 1199)(552, 1200)(553, 1201)(554, 1202)(555, 1203)(556, 1204)(557, 1205)(558, 1206)(559, 1207)(560, 1208)(561, 1209)(562, 1210)(563, 1211)(564, 1212)(565, 1213)(566, 1214)(567, 1215)(568, 1216)(569, 1217)(570, 1218)(571, 1219)(572, 1220)(573, 1221)(574, 1222)(575, 1223)(576, 1224)(577, 1225)(578, 1226)(579, 1227)(580, 1228)(581, 1229)(582, 1230)(583, 1231)(584, 1232)(585, 1233)(586, 1234)(587, 1235)(588, 1236)(589, 1237)(590, 1238)(591, 1239)(592, 1240)(593, 1241)(594, 1242)(595, 1243)(596, 1244)(597, 1245)(598, 1246)(599, 1247)(600, 1248)(601, 1249)(602, 1250)(603, 1251)(604, 1252)(605, 1253)(606, 1254)(607, 1255)(608, 1256)(609, 1257)(610, 1258)(611, 1259)(612, 1260)(613, 1261)(614, 1262)(615, 1263)(616, 1264)(617, 1265)(618, 1266)(619, 1267)(620, 1268)(621, 1269)(622, 1270)(623, 1271)(624, 1272)(625, 1273)(626, 1274)(627, 1275)(628, 1276)(629, 1277)(630, 1278)(631, 1279)(632, 1280)(633, 1281)(634, 1282)(635, 1283)(636, 1284)(637, 1285)(638, 1286)(639, 1287)(640, 1288)(641, 1289)(642, 1290)(643, 1291)(644, 1292)(645, 1293)(646, 1294)(647, 1295)(648, 1296)
	local type(s) :: { ( 12, 12 ), ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E28.3323
Transitivity :: ET+
Graph:: simple bipartite
	v = 486 e = 648 f = 108
	degree seq :: [ 2^324, 4^162 ]

E28.3320 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 6})
Quotient :: edge
Aut^+ = $<648, 545>$ (small group id <648, 545>)
Aut   = $<1296, 2909>$ (small group id <1296, 2909>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (F * T1)^2, (F * T2)^2, T1^4, T2^6, (T2 * T1^-1)^6, T2 * T1^-2 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1 * T2^-2 * T1 * T2^-1 * T1^-1, T2 * T1^-1 * T2^-1 * T1 * T2^2 * T1^2 * T2^-2 * T1^-2 * T2^-2 * T1^-2, T2 * T1^-1 * T2^-2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-1 * T1^-1, T1^-1 * T2^-1 * T1 * T2^2 * T1^2 * T2 * T1^-1 * T2 * T1^-1 * T2^-2 * T1^-1 * T2 * T1^-1, T2 * T1 * T2^-2 * T1^-1 * T2^2 * T1 * T2^-1 * T1^-1 * T2^2 * T1^-1 * T2^2 * T1^-1, T2 * T1^-1 * T2^2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-2 * T1^-2 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 10, 24, 14, 5)(2, 7, 17, 37, 20, 8)(4, 12, 27, 46, 22, 9)(6, 15, 32, 63, 35, 16)(11, 26, 52, 91, 48, 23)(13, 29, 57, 106, 60, 30)(18, 39, 74, 129, 70, 36)(19, 40, 76, 139, 79, 41)(21, 43, 81, 148, 84, 44)(25, 51, 95, 169, 93, 49)(28, 56, 103, 182, 101, 54)(31, 50, 94, 170, 113, 61)(33, 65, 119, 205, 115, 62)(34, 66, 121, 215, 124, 67)(38, 73, 133, 233, 131, 71)(42, 72, 132, 234, 146, 80)(45, 85, 154, 269, 157, 86)(47, 88, 159, 278, 162, 89)(53, 99, 178, 306, 176, 97)(55, 102, 183, 276, 158, 87)(58, 108, 193, 327, 189, 105)(59, 109, 195, 337, 197, 110)(64, 118, 209, 357, 207, 116)(68, 117, 208, 358, 222, 125)(69, 126, 223, 382, 226, 127)(75, 137, 242, 410, 240, 135)(77, 141, 248, 417, 244, 138)(78, 142, 250, 427, 252, 143)(82, 150, 262, 437, 258, 147)(83, 151, 264, 443, 266, 152)(90, 163, 284, 461, 287, 164)(92, 166, 289, 424, 292, 167)(96, 174, 302, 477, 300, 172)(98, 177, 307, 467, 288, 165)(100, 179, 310, 472, 313, 180)(104, 187, 323, 494, 321, 185)(107, 192, 331, 434, 329, 190)(111, 191, 330, 418, 342, 198)(112, 199, 343, 508, 345, 200)(114, 202, 347, 513, 350, 203)(120, 213, 366, 530, 364, 211)(122, 217, 372, 534, 368, 214)(123, 218, 374, 540, 376, 219)(128, 227, 388, 299, 391, 228)(130, 230, 393, 283, 396, 231)(134, 238, 406, 562, 404, 236)(136, 241, 411, 285, 392, 229)(140, 247, 421, 546, 419, 245)(144, 246, 420, 535, 432, 253)(145, 254, 433, 584, 435, 255)(149, 261, 441, 344, 439, 259)(153, 260, 440, 328, 447, 267)(155, 271, 451, 334, 449, 268)(156, 272, 453, 594, 455, 273)(160, 280, 375, 541, 458, 277)(161, 281, 373, 539, 460, 282)(168, 293, 361, 527, 474, 294)(171, 298, 475, 548, 380, 296)(173, 301, 478, 523, 356, 295)(175, 303, 367, 326, 482, 304)(181, 314, 487, 525, 491, 315)(184, 319, 492, 600, 465, 317)(186, 322, 495, 516, 466, 316)(188, 324, 498, 529, 363, 325)(194, 335, 500, 514, 349, 333)(196, 339, 459, 279, 348, 336)(201, 297, 359, 524, 512, 346)(204, 351, 515, 403, 517, 352)(206, 354, 519, 387, 522, 355)(210, 362, 528, 622, 526, 360)(212, 365, 531, 389, 518, 353)(216, 371, 538, 454, 536, 369)(220, 370, 537, 438, 544, 377)(221, 378, 545, 630, 547, 379)(224, 384, 265, 444, 549, 381)(225, 385, 263, 442, 551, 386)(232, 397, 318, 462, 559, 398)(235, 402, 560, 456, 274, 400)(237, 405, 563, 457, 275, 399)(239, 407, 257, 416, 567, 408)(243, 414, 574, 493, 320, 415)(249, 425, 576, 490, 312, 423)(251, 429, 550, 383, 311, 426)(256, 401, 270, 450, 588, 436)(286, 463, 597, 621, 599, 464)(290, 469, 533, 626, 566, 468)(291, 470, 589, 628, 542, 471)(305, 483, 608, 509, 610, 484)(308, 488, 611, 632, 602, 486)(309, 489, 612, 619, 520, 485)(332, 473, 601, 631, 616, 499)(338, 503, 605, 476, 604, 501)(340, 502, 521, 620, 580, 505)(341, 506, 603, 623, 617, 507)(390, 552, 633, 598, 634, 553)(394, 555, 497, 615, 624, 554)(395, 556, 504, 590, 445, 557)(409, 568, 642, 585, 644, 569)(412, 572, 645, 596, 636, 571)(413, 573, 481, 593, 452, 570)(422, 558, 635, 595, 646, 575)(428, 579, 639, 561, 638, 577)(430, 578, 448, 592, 627, 581)(431, 582, 637, 614, 647, 583)(446, 587, 640, 565, 643, 591)(479, 532, 625, 618, 510, 607)(480, 609, 629, 543, 511, 606)(496, 613, 648, 586, 641, 564)(649, 650, 654, 652)(651, 657, 669, 659)(653, 661, 666, 655)(656, 667, 681, 663)(658, 671, 695, 673)(660, 664, 682, 676)(662, 679, 706, 677)(665, 684, 717, 686)(668, 690, 725, 688)(670, 693, 730, 691)(672, 697, 740, 698)(674, 692, 731, 701)(675, 702, 748, 703)(678, 707, 723, 687)(680, 710, 762, 712)(683, 716, 770, 714)(685, 719, 778, 720)(689, 726, 768, 713)(694, 735, 803, 733)(696, 738, 808, 736)(699, 737, 809, 744)(700, 745, 823, 746)(704, 715, 771, 752)(705, 753, 836, 755)(708, 759, 844, 757)(709, 760, 842, 756)(711, 764, 854, 765)(718, 776, 872, 774)(721, 775, 873, 782)(722, 783, 887, 784)(724, 786, 891, 788)(727, 792, 899, 790)(728, 793, 897, 789)(729, 795, 905, 797)(732, 801, 913, 799)(734, 804, 911, 798)(739, 813, 933, 811)(741, 816, 938, 814)(742, 815, 939, 819)(743, 820, 947, 821)(747, 800, 861, 791)(749, 829, 959, 827)(750, 828, 960, 832)(751, 833, 968, 834)(754, 838, 976, 839)(758, 835, 867, 785)(761, 849, 992, 847)(763, 852, 996, 850)(766, 851, 997, 858)(767, 859, 1011, 860)(769, 862, 1015, 864)(772, 868, 1023, 866)(773, 869, 1021, 865)(777, 877, 1037, 875)(779, 880, 1042, 878)(780, 879, 1043, 883)(781, 884, 1051, 885)(787, 893, 1066, 894)(794, 904, 1082, 902)(796, 907, 1086, 908)(802, 916, 1096, 918)(805, 922, 1102, 920)(806, 923, 1100, 919)(807, 925, 995, 927)(810, 931, 1020, 929)(812, 934, 1022, 928)(817, 943, 1005, 941)(818, 944, 1006, 945)(822, 930, 1090, 921)(824, 953, 1019, 951)(825, 952, 1129, 956)(826, 900, 1078, 957)(830, 964, 1115, 962)(831, 965, 1109, 966)(837, 974, 1016, 972)(840, 973, 1012, 980)(841, 981, 998, 982)(843, 984, 1000, 986)(845, 988, 1145, 971)(846, 989, 1152, 987)(848, 886, 1034, 983)(853, 1001, 1164, 999)(855, 1004, 1168, 1002)(856, 1003, 1169, 1007)(857, 1008, 1173, 1009)(863, 1017, 1183, 1018)(870, 1028, 1194, 1026)(871, 1029, 958, 1031)(874, 1035, 910, 1033)(876, 1038, 912, 1032)(881, 1047, 924, 1045)(882, 1048, 917, 1049)(888, 1057, 909, 1055)(889, 1056, 1214, 1060)(890, 1024, 1190, 1061)(892, 1064, 906, 1062)(895, 1063, 969, 1070)(896, 1071, 961, 1072)(898, 1074, 963, 1076)(901, 1079, 1228, 1077)(903, 1010, 1162, 1073)(914, 1093, 1181, 1014)(915, 1094, 1237, 1092)(926, 1107, 1204, 1044)(932, 1059, 1219, 1110)(935, 1113, 1246, 1111)(936, 1114, 1166, 1040)(937, 1116, 1215, 1065)(940, 1120, 1197, 1118)(942, 1121, 1178, 1117)(946, 1119, 1188, 1112)(948, 1124, 1200, 1039)(949, 1036, 1179, 1127)(950, 1103, 1244, 1128)(954, 1133, 1171, 1131)(955, 1134, 1175, 1135)(967, 1138, 1187, 1027)(970, 1141, 1260, 1144)(975, 1099, 1241, 1130)(977, 1084, 1235, 1095)(978, 1088, 1185, 1068)(979, 1147, 1233, 1081)(985, 1149, 1172, 1150)(990, 1067, 1196, 1154)(991, 1089, 1217, 1157)(993, 1158, 1213, 1054)(994, 1159, 1192, 1087)(1013, 1177, 1272, 1180)(1025, 1191, 1275, 1189)(1030, 1198, 1268, 1170)(1041, 1202, 1146, 1182)(1046, 1206, 1142, 1203)(1050, 1205, 1091, 1201)(1052, 1209, 1151, 1165)(1053, 1163, 1143, 1212)(1058, 1218, 1105, 1216)(1069, 1223, 1279, 1193)(1075, 1225, 1098, 1226)(1080, 1184, 1104, 1230)(1083, 1234, 1271, 1176)(1085, 1167, 1267, 1222)(1097, 1161, 1106, 1240)(1101, 1186, 1132, 1243)(1108, 1224, 1148, 1199)(1122, 1250, 1278, 1249)(1123, 1247, 1270, 1251)(1125, 1254, 1160, 1252)(1126, 1255, 1156, 1256)(1136, 1221, 1276, 1239)(1137, 1229, 1277, 1261)(1139, 1174, 1269, 1227)(1140, 1195, 1280, 1262)(1153, 1231, 1273, 1263)(1155, 1220, 1274, 1238)(1207, 1284, 1242, 1283)(1208, 1282, 1248, 1285)(1210, 1288, 1236, 1286)(1211, 1289, 1232, 1290)(1245, 1281, 1253, 1287)(1257, 1293, 1265, 1296)(1258, 1292, 1264, 1294)(1259, 1291, 1266, 1295)
	L = (1, 649)(2, 650)(3, 651)(4, 652)(5, 653)(6, 654)(7, 655)(8, 656)(9, 657)(10, 658)(11, 659)(12, 660)(13, 661)(14, 662)(15, 663)(16, 664)(17, 665)(18, 666)(19, 667)(20, 668)(21, 669)(22, 670)(23, 671)(24, 672)(25, 673)(26, 674)(27, 675)(28, 676)(29, 677)(30, 678)(31, 679)(32, 680)(33, 681)(34, 682)(35, 683)(36, 684)(37, 685)(38, 686)(39, 687)(40, 688)(41, 689)(42, 690)(43, 691)(44, 692)(45, 693)(46, 694)(47, 695)(48, 696)(49, 697)(50, 698)(51, 699)(52, 700)(53, 701)(54, 702)(55, 703)(56, 704)(57, 705)(58, 706)(59, 707)(60, 708)(61, 709)(62, 710)(63, 711)(64, 712)(65, 713)(66, 714)(67, 715)(68, 716)(69, 717)(70, 718)(71, 719)(72, 720)(73, 721)(74, 722)(75, 723)(76, 724)(77, 725)(78, 726)(79, 727)(80, 728)(81, 729)(82, 730)(83, 731)(84, 732)(85, 733)(86, 734)(87, 735)(88, 736)(89, 737)(90, 738)(91, 739)(92, 740)(93, 741)(94, 742)(95, 743)(96, 744)(97, 745)(98, 746)(99, 747)(100, 748)(101, 749)(102, 750)(103, 751)(104, 752)(105, 753)(106, 754)(107, 755)(108, 756)(109, 757)(110, 758)(111, 759)(112, 760)(113, 761)(114, 762)(115, 763)(116, 764)(117, 765)(118, 766)(119, 767)(120, 768)(121, 769)(122, 770)(123, 771)(124, 772)(125, 773)(126, 774)(127, 775)(128, 776)(129, 777)(130, 778)(131, 779)(132, 780)(133, 781)(134, 782)(135, 783)(136, 784)(137, 785)(138, 786)(139, 787)(140, 788)(141, 789)(142, 790)(143, 791)(144, 792)(145, 793)(146, 794)(147, 795)(148, 796)(149, 797)(150, 798)(151, 799)(152, 800)(153, 801)(154, 802)(155, 803)(156, 804)(157, 805)(158, 806)(159, 807)(160, 808)(161, 809)(162, 810)(163, 811)(164, 812)(165, 813)(166, 814)(167, 815)(168, 816)(169, 817)(170, 818)(171, 819)(172, 820)(173, 821)(174, 822)(175, 823)(176, 824)(177, 825)(178, 826)(179, 827)(180, 828)(181, 829)(182, 830)(183, 831)(184, 832)(185, 833)(186, 834)(187, 835)(188, 836)(189, 837)(190, 838)(191, 839)(192, 840)(193, 841)(194, 842)(195, 843)(196, 844)(197, 845)(198, 846)(199, 847)(200, 848)(201, 849)(202, 850)(203, 851)(204, 852)(205, 853)(206, 854)(207, 855)(208, 856)(209, 857)(210, 858)(211, 859)(212, 860)(213, 861)(214, 862)(215, 863)(216, 864)(217, 865)(218, 866)(219, 867)(220, 868)(221, 869)(222, 870)(223, 871)(224, 872)(225, 873)(226, 874)(227, 875)(228, 876)(229, 877)(230, 878)(231, 879)(232, 880)(233, 881)(234, 882)(235, 883)(236, 884)(237, 885)(238, 886)(239, 887)(240, 888)(241, 889)(242, 890)(243, 891)(244, 892)(245, 893)(246, 894)(247, 895)(248, 896)(249, 897)(250, 898)(251, 899)(252, 900)(253, 901)(254, 902)(255, 903)(256, 904)(257, 905)(258, 906)(259, 907)(260, 908)(261, 909)(262, 910)(263, 911)(264, 912)(265, 913)(266, 914)(267, 915)(268, 916)(269, 917)(270, 918)(271, 919)(272, 920)(273, 921)(274, 922)(275, 923)(276, 924)(277, 925)(278, 926)(279, 927)(280, 928)(281, 929)(282, 930)(283, 931)(284, 932)(285, 933)(286, 934)(287, 935)(288, 936)(289, 937)(290, 938)(291, 939)(292, 940)(293, 941)(294, 942)(295, 943)(296, 944)(297, 945)(298, 946)(299, 947)(300, 948)(301, 949)(302, 950)(303, 951)(304, 952)(305, 953)(306, 954)(307, 955)(308, 956)(309, 957)(310, 958)(311, 959)(312, 960)(313, 961)(314, 962)(315, 963)(316, 964)(317, 965)(318, 966)(319, 967)(320, 968)(321, 969)(322, 970)(323, 971)(324, 972)(325, 973)(326, 974)(327, 975)(328, 976)(329, 977)(330, 978)(331, 979)(332, 980)(333, 981)(334, 982)(335, 983)(336, 984)(337, 985)(338, 986)(339, 987)(340, 988)(341, 989)(342, 990)(343, 991)(344, 992)(345, 993)(346, 994)(347, 995)(348, 996)(349, 997)(350, 998)(351, 999)(352, 1000)(353, 1001)(354, 1002)(355, 1003)(356, 1004)(357, 1005)(358, 1006)(359, 1007)(360, 1008)(361, 1009)(362, 1010)(363, 1011)(364, 1012)(365, 1013)(366, 1014)(367, 1015)(368, 1016)(369, 1017)(370, 1018)(371, 1019)(372, 1020)(373, 1021)(374, 1022)(375, 1023)(376, 1024)(377, 1025)(378, 1026)(379, 1027)(380, 1028)(381, 1029)(382, 1030)(383, 1031)(384, 1032)(385, 1033)(386, 1034)(387, 1035)(388, 1036)(389, 1037)(390, 1038)(391, 1039)(392, 1040)(393, 1041)(394, 1042)(395, 1043)(396, 1044)(397, 1045)(398, 1046)(399, 1047)(400, 1048)(401, 1049)(402, 1050)(403, 1051)(404, 1052)(405, 1053)(406, 1054)(407, 1055)(408, 1056)(409, 1057)(410, 1058)(411, 1059)(412, 1060)(413, 1061)(414, 1062)(415, 1063)(416, 1064)(417, 1065)(418, 1066)(419, 1067)(420, 1068)(421, 1069)(422, 1070)(423, 1071)(424, 1072)(425, 1073)(426, 1074)(427, 1075)(428, 1076)(429, 1077)(430, 1078)(431, 1079)(432, 1080)(433, 1081)(434, 1082)(435, 1083)(436, 1084)(437, 1085)(438, 1086)(439, 1087)(440, 1088)(441, 1089)(442, 1090)(443, 1091)(444, 1092)(445, 1093)(446, 1094)(447, 1095)(448, 1096)(449, 1097)(450, 1098)(451, 1099)(452, 1100)(453, 1101)(454, 1102)(455, 1103)(456, 1104)(457, 1105)(458, 1106)(459, 1107)(460, 1108)(461, 1109)(462, 1110)(463, 1111)(464, 1112)(465, 1113)(466, 1114)(467, 1115)(468, 1116)(469, 1117)(470, 1118)(471, 1119)(472, 1120)(473, 1121)(474, 1122)(475, 1123)(476, 1124)(477, 1125)(478, 1126)(479, 1127)(480, 1128)(481, 1129)(482, 1130)(483, 1131)(484, 1132)(485, 1133)(486, 1134)(487, 1135)(488, 1136)(489, 1137)(490, 1138)(491, 1139)(492, 1140)(493, 1141)(494, 1142)(495, 1143)(496, 1144)(497, 1145)(498, 1146)(499, 1147)(500, 1148)(501, 1149)(502, 1150)(503, 1151)(504, 1152)(505, 1153)(506, 1154)(507, 1155)(508, 1156)(509, 1157)(510, 1158)(511, 1159)(512, 1160)(513, 1161)(514, 1162)(515, 1163)(516, 1164)(517, 1165)(518, 1166)(519, 1167)(520, 1168)(521, 1169)(522, 1170)(523, 1171)(524, 1172)(525, 1173)(526, 1174)(527, 1175)(528, 1176)(529, 1177)(530, 1178)(531, 1179)(532, 1180)(533, 1181)(534, 1182)(535, 1183)(536, 1184)(537, 1185)(538, 1186)(539, 1187)(540, 1188)(541, 1189)(542, 1190)(543, 1191)(544, 1192)(545, 1193)(546, 1194)(547, 1195)(548, 1196)(549, 1197)(550, 1198)(551, 1199)(552, 1200)(553, 1201)(554, 1202)(555, 1203)(556, 1204)(557, 1205)(558, 1206)(559, 1207)(560, 1208)(561, 1209)(562, 1210)(563, 1211)(564, 1212)(565, 1213)(566, 1214)(567, 1215)(568, 1216)(569, 1217)(570, 1218)(571, 1219)(572, 1220)(573, 1221)(574, 1222)(575, 1223)(576, 1224)(577, 1225)(578, 1226)(579, 1227)(580, 1228)(581, 1229)(582, 1230)(583, 1231)(584, 1232)(585, 1233)(586, 1234)(587, 1235)(588, 1236)(589, 1237)(590, 1238)(591, 1239)(592, 1240)(593, 1241)(594, 1242)(595, 1243)(596, 1244)(597, 1245)(598, 1246)(599, 1247)(600, 1248)(601, 1249)(602, 1250)(603, 1251)(604, 1252)(605, 1253)(606, 1254)(607, 1255)(608, 1256)(609, 1257)(610, 1258)(611, 1259)(612, 1260)(613, 1261)(614, 1262)(615, 1263)(616, 1264)(617, 1265)(618, 1266)(619, 1267)(620, 1268)(621, 1269)(622, 1270)(623, 1271)(624, 1272)(625, 1273)(626, 1274)(627, 1275)(628, 1276)(629, 1277)(630, 1278)(631, 1279)(632, 1280)(633, 1281)(634, 1282)(635, 1283)(636, 1284)(637, 1285)(638, 1286)(639, 1287)(640, 1288)(641, 1289)(642, 1290)(643, 1291)(644, 1292)(645, 1293)(646, 1294)(647, 1295)(648, 1296)
	local type(s) :: { ( 4^4 ), ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E28.3324
Transitivity :: ET+
Graph:: simple bipartite
	v = 270 e = 648 f = 324
	degree seq :: [ 4^162, 6^108 ]

E28.3321 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 6})
Quotient :: edge
Aut^+ = $<648, 545>$ (small group id <648, 545>)
Aut   = $<1296, 2909>$ (small group id <1296, 2909>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T2 * T1)^4, T2 * T1 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1, T1^-1 * T2 * T1 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^3 * T2 * T1^-2, T2 * T1^-2 * T2 * T1 * T2 * T1^3 * T2 * T1^-3 * T2 * T1^-1 * T2 * T1^2, (T2 * T1^2)^6 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 34)(19, 36)(20, 31)(23, 43)(24, 44)(25, 47)(28, 50)(29, 51)(32, 55)(33, 58)(35, 62)(37, 65)(38, 67)(39, 63)(40, 70)(41, 71)(42, 74)(45, 77)(46, 78)(48, 81)(49, 84)(52, 90)(53, 91)(54, 94)(56, 96)(57, 97)(59, 101)(60, 98)(61, 103)(64, 107)(66, 112)(68, 114)(69, 116)(72, 119)(73, 120)(75, 123)(76, 126)(79, 132)(80, 133)(82, 136)(83, 137)(85, 141)(86, 138)(87, 144)(88, 145)(89, 148)(92, 151)(93, 152)(95, 156)(99, 162)(100, 165)(102, 167)(104, 171)(105, 172)(106, 175)(108, 177)(109, 179)(110, 153)(111, 181)(113, 184)(115, 188)(117, 191)(118, 194)(121, 200)(122, 201)(124, 204)(125, 205)(127, 209)(128, 206)(129, 212)(130, 213)(131, 216)(134, 219)(135, 221)(139, 227)(140, 230)(142, 232)(143, 234)(146, 237)(147, 238)(149, 241)(150, 244)(154, 250)(155, 252)(157, 256)(158, 253)(159, 259)(160, 260)(161, 263)(163, 265)(164, 266)(166, 269)(168, 274)(169, 275)(170, 278)(173, 281)(174, 282)(176, 286)(178, 290)(180, 292)(182, 296)(183, 297)(185, 300)(186, 302)(187, 283)(189, 307)(190, 308)(192, 311)(193, 312)(195, 316)(196, 313)(197, 319)(198, 320)(199, 323)(202, 326)(203, 328)(207, 334)(208, 337)(210, 339)(211, 341)(214, 344)(215, 345)(217, 348)(218, 351)(220, 354)(222, 358)(223, 355)(224, 361)(225, 362)(226, 365)(228, 367)(229, 368)(231, 371)(233, 370)(235, 376)(236, 377)(239, 382)(240, 383)(242, 385)(243, 386)(245, 340)(246, 387)(247, 390)(248, 391)(249, 393)(251, 394)(254, 350)(255, 304)(257, 398)(258, 399)(261, 305)(262, 402)(264, 331)(267, 410)(268, 411)(270, 366)(271, 414)(272, 403)(273, 407)(276, 415)(277, 378)(279, 404)(280, 419)(284, 400)(285, 388)(287, 423)(288, 356)(289, 424)(291, 406)(293, 357)(294, 363)(295, 431)(298, 412)(299, 396)(301, 435)(303, 381)(306, 439)(309, 441)(310, 443)(314, 445)(315, 448)(317, 449)(318, 451)(321, 452)(322, 453)(324, 455)(325, 457)(327, 460)(329, 462)(330, 461)(332, 463)(333, 465)(335, 467)(336, 468)(338, 470)(342, 474)(343, 475)(346, 478)(347, 479)(349, 481)(352, 450)(353, 482)(359, 486)(360, 487)(364, 489)(369, 494)(372, 466)(373, 496)(374, 490)(375, 498)(379, 499)(380, 503)(384, 507)(389, 510)(392, 512)(395, 515)(397, 517)(401, 522)(405, 524)(408, 516)(409, 528)(413, 529)(416, 523)(417, 532)(418, 518)(420, 534)(421, 505)(422, 520)(425, 506)(426, 541)(427, 508)(428, 538)(429, 542)(430, 530)(432, 513)(433, 535)(434, 545)(436, 548)(437, 549)(438, 550)(440, 552)(442, 555)(444, 557)(446, 558)(447, 559)(454, 565)(456, 566)(458, 547)(459, 567)(464, 572)(469, 576)(471, 578)(472, 573)(473, 580)(476, 581)(477, 584)(480, 585)(483, 586)(484, 587)(485, 589)(488, 592)(491, 593)(492, 588)(493, 595)(495, 596)(497, 569)(500, 599)(501, 600)(502, 601)(504, 602)(509, 605)(511, 563)(514, 582)(519, 554)(521, 560)(525, 570)(526, 609)(527, 590)(531, 571)(533, 610)(536, 597)(537, 562)(539, 604)(540, 603)(543, 608)(544, 606)(546, 591)(551, 616)(553, 617)(556, 619)(561, 622)(564, 625)(568, 626)(574, 628)(575, 627)(577, 630)(579, 618)(583, 631)(594, 632)(598, 633)(607, 637)(611, 634)(612, 620)(613, 623)(614, 635)(615, 640)(621, 641)(624, 643)(629, 644)(636, 646)(638, 645)(639, 647)(642, 648)(649, 650, 653, 659, 658, 652)(651, 655, 663, 677, 666, 656)(654, 661, 673, 694, 676, 662)(657, 667, 683, 709, 685, 668)(660, 671, 690, 721, 693, 672)(664, 679, 702, 741, 704, 680)(665, 681, 705, 730, 696, 674)(669, 686, 714, 759, 716, 687)(670, 688, 717, 763, 720, 689)(675, 697, 731, 772, 723, 691)(678, 700, 737, 795, 740, 701)(682, 707, 748, 812, 750, 708)(684, 711, 754, 822, 756, 712)(692, 724, 773, 840, 765, 718)(695, 727, 779, 863, 782, 728)(698, 733, 788, 877, 790, 734)(699, 735, 791, 881, 794, 736)(703, 743, 803, 890, 797, 738)(706, 746, 809, 910, 811, 747)(710, 752, 818, 925, 821, 753)(713, 757, 826, 937, 828, 758)(715, 719, 766, 841, 833, 761)(722, 769, 847, 970, 850, 770)(725, 775, 856, 984, 858, 776)(726, 777, 859, 988, 862, 778)(729, 783, 868, 997, 865, 780)(732, 786, 874, 1012, 876, 787)(739, 798, 891, 959, 883, 792)(742, 801, 897, 1040, 899, 802)(744, 805, 903, 956, 905, 806)(745, 807, 906, 964, 909, 808)(749, 793, 884, 960, 918, 814)(751, 816, 921, 1059, 924, 817)(755, 824, 933, 1066, 927, 819)(760, 830, 943, 1078, 946, 831)(762, 834, 949, 1082, 951, 835)(764, 837, 954, 1086, 957, 838)(767, 843, 963, 1095, 965, 844)(768, 845, 966, 1098, 969, 846)(771, 851, 975, 1104, 972, 848)(774, 854, 981, 1112, 983, 855)(781, 866, 998, 948, 990, 860)(784, 870, 1005, 945, 1007, 871)(785, 872, 1008, 950, 1011, 873)(789, 861, 991, 930, 1020, 879)(796, 887, 1029, 1152, 1032, 888)(799, 893, 985, 1117, 1037, 894)(800, 895, 986, 857, 968, 896)(804, 901, 976, 1109, 1044, 902)(810, 912, 982, 1114, 1048, 907)(813, 915, 1057, 1175, 1060, 916)(815, 919, 1061, 1102, 971, 920)(820, 928, 978, 852, 977, 922)(823, 931, 1069, 1184, 1070, 932)(825, 935, 967, 849, 973, 936)(827, 923, 980, 853, 979, 939)(829, 941, 1076, 1189, 1077, 942)(832, 947, 1081, 1192, 1080, 944)(836, 952, 1084, 1195, 1085, 953)(839, 958, 1090, 1201, 1088, 955)(842, 961, 1092, 1204, 1094, 962)(864, 994, 940, 1075, 1128, 995)(867, 1000, 1096, 1208, 1131, 1001)(869, 1003, 1091, 1034, 934, 1004)(875, 1014, 1093, 1038, 898, 1009)(878, 1017, 1141, 1068, 929, 1018)(880, 1021, 1143, 1199, 1087, 1022)(882, 1023, 1145, 1242, 1140, 1016)(885, 1026, 1148, 1246, 1149, 1027)(886, 1028, 1150, 1230, 1124, 992)(889, 1013, 1138, 1200, 1153, 1030)(892, 1035, 1156, 1252, 1157, 1036)(900, 999, 1130, 1062, 1164, 1043)(904, 1039, 1159, 1050, 1166, 1045)(908, 1049, 1137, 1033, 1133, 1006)(911, 1051, 1103, 1205, 1171, 1052)(913, 1053, 1151, 1031, 1154, 1054)(914, 1055, 1173, 1235, 1174, 1056)(917, 1015, 1139, 1232, 1127, 1058)(926, 1064, 1097, 1209, 1181, 1065)(938, 1073, 1188, 1202, 1089, 1074)(974, 1106, 1083, 1194, 1216, 1107)(987, 1119, 1225, 1191, 1079, 1120)(989, 1121, 1227, 1277, 1223, 1116)(993, 1125, 1231, 1172, 1211, 1100)(996, 1113, 1221, 1161, 1041, 1126)(1002, 1105, 1215, 1144, 1236, 1132)(1010, 1136, 1220, 1129, 1218, 1110)(1019, 1115, 1222, 1273, 1213, 1142)(1024, 1111, 1219, 1267, 1214, 1146)(1025, 1147, 1245, 1265, 1228, 1122)(1042, 1162, 1247, 1180, 1239, 1135)(1046, 1167, 1226, 1275, 1217, 1108)(1047, 1168, 1248, 1282, 1256, 1169)(1063, 1178, 1259, 1286, 1260, 1179)(1067, 1182, 1250, 1283, 1261, 1183)(1071, 1123, 1229, 1160, 1254, 1185)(1072, 1186, 1237, 1163, 1255, 1187)(1099, 1210, 1271, 1290, 1269, 1207)(1101, 1212, 1272, 1241, 1170, 1197)(1118, 1206, 1268, 1288, 1264, 1224)(1134, 1238, 1270, 1289, 1266, 1203)(1155, 1243, 1177, 1234, 1278, 1251)(1158, 1244, 1274, 1258, 1176, 1233)(1165, 1253, 1284, 1262, 1193, 1196)(1190, 1198, 1263, 1287, 1276, 1240)(1249, 1279, 1291, 1295, 1293, 1281)(1257, 1280, 1292, 1296, 1294, 1285)
	L = (1, 649)(2, 650)(3, 651)(4, 652)(5, 653)(6, 654)(7, 655)(8, 656)(9, 657)(10, 658)(11, 659)(12, 660)(13, 661)(14, 662)(15, 663)(16, 664)(17, 665)(18, 666)(19, 667)(20, 668)(21, 669)(22, 670)(23, 671)(24, 672)(25, 673)(26, 674)(27, 675)(28, 676)(29, 677)(30, 678)(31, 679)(32, 680)(33, 681)(34, 682)(35, 683)(36, 684)(37, 685)(38, 686)(39, 687)(40, 688)(41, 689)(42, 690)(43, 691)(44, 692)(45, 693)(46, 694)(47, 695)(48, 696)(49, 697)(50, 698)(51, 699)(52, 700)(53, 701)(54, 702)(55, 703)(56, 704)(57, 705)(58, 706)(59, 707)(60, 708)(61, 709)(62, 710)(63, 711)(64, 712)(65, 713)(66, 714)(67, 715)(68, 716)(69, 717)(70, 718)(71, 719)(72, 720)(73, 721)(74, 722)(75, 723)(76, 724)(77, 725)(78, 726)(79, 727)(80, 728)(81, 729)(82, 730)(83, 731)(84, 732)(85, 733)(86, 734)(87, 735)(88, 736)(89, 737)(90, 738)(91, 739)(92, 740)(93, 741)(94, 742)(95, 743)(96, 744)(97, 745)(98, 746)(99, 747)(100, 748)(101, 749)(102, 750)(103, 751)(104, 752)(105, 753)(106, 754)(107, 755)(108, 756)(109, 757)(110, 758)(111, 759)(112, 760)(113, 761)(114, 762)(115, 763)(116, 764)(117, 765)(118, 766)(119, 767)(120, 768)(121, 769)(122, 770)(123, 771)(124, 772)(125, 773)(126, 774)(127, 775)(128, 776)(129, 777)(130, 778)(131, 779)(132, 780)(133, 781)(134, 782)(135, 783)(136, 784)(137, 785)(138, 786)(139, 787)(140, 788)(141, 789)(142, 790)(143, 791)(144, 792)(145, 793)(146, 794)(147, 795)(148, 796)(149, 797)(150, 798)(151, 799)(152, 800)(153, 801)(154, 802)(155, 803)(156, 804)(157, 805)(158, 806)(159, 807)(160, 808)(161, 809)(162, 810)(163, 811)(164, 812)(165, 813)(166, 814)(167, 815)(168, 816)(169, 817)(170, 818)(171, 819)(172, 820)(173, 821)(174, 822)(175, 823)(176, 824)(177, 825)(178, 826)(179, 827)(180, 828)(181, 829)(182, 830)(183, 831)(184, 832)(185, 833)(186, 834)(187, 835)(188, 836)(189, 837)(190, 838)(191, 839)(192, 840)(193, 841)(194, 842)(195, 843)(196, 844)(197, 845)(198, 846)(199, 847)(200, 848)(201, 849)(202, 850)(203, 851)(204, 852)(205, 853)(206, 854)(207, 855)(208, 856)(209, 857)(210, 858)(211, 859)(212, 860)(213, 861)(214, 862)(215, 863)(216, 864)(217, 865)(218, 866)(219, 867)(220, 868)(221, 869)(222, 870)(223, 871)(224, 872)(225, 873)(226, 874)(227, 875)(228, 876)(229, 877)(230, 878)(231, 879)(232, 880)(233, 881)(234, 882)(235, 883)(236, 884)(237, 885)(238, 886)(239, 887)(240, 888)(241, 889)(242, 890)(243, 891)(244, 892)(245, 893)(246, 894)(247, 895)(248, 896)(249, 897)(250, 898)(251, 899)(252, 900)(253, 901)(254, 902)(255, 903)(256, 904)(257, 905)(258, 906)(259, 907)(260, 908)(261, 909)(262, 910)(263, 911)(264, 912)(265, 913)(266, 914)(267, 915)(268, 916)(269, 917)(270, 918)(271, 919)(272, 920)(273, 921)(274, 922)(275, 923)(276, 924)(277, 925)(278, 926)(279, 927)(280, 928)(281, 929)(282, 930)(283, 931)(284, 932)(285, 933)(286, 934)(287, 935)(288, 936)(289, 937)(290, 938)(291, 939)(292, 940)(293, 941)(294, 942)(295, 943)(296, 944)(297, 945)(298, 946)(299, 947)(300, 948)(301, 949)(302, 950)(303, 951)(304, 952)(305, 953)(306, 954)(307, 955)(308, 956)(309, 957)(310, 958)(311, 959)(312, 960)(313, 961)(314, 962)(315, 963)(316, 964)(317, 965)(318, 966)(319, 967)(320, 968)(321, 969)(322, 970)(323, 971)(324, 972)(325, 973)(326, 974)(327, 975)(328, 976)(329, 977)(330, 978)(331, 979)(332, 980)(333, 981)(334, 982)(335, 983)(336, 984)(337, 985)(338, 986)(339, 987)(340, 988)(341, 989)(342, 990)(343, 991)(344, 992)(345, 993)(346, 994)(347, 995)(348, 996)(349, 997)(350, 998)(351, 999)(352, 1000)(353, 1001)(354, 1002)(355, 1003)(356, 1004)(357, 1005)(358, 1006)(359, 1007)(360, 1008)(361, 1009)(362, 1010)(363, 1011)(364, 1012)(365, 1013)(366, 1014)(367, 1015)(368, 1016)(369, 1017)(370, 1018)(371, 1019)(372, 1020)(373, 1021)(374, 1022)(375, 1023)(376, 1024)(377, 1025)(378, 1026)(379, 1027)(380, 1028)(381, 1029)(382, 1030)(383, 1031)(384, 1032)(385, 1033)(386, 1034)(387, 1035)(388, 1036)(389, 1037)(390, 1038)(391, 1039)(392, 1040)(393, 1041)(394, 1042)(395, 1043)(396, 1044)(397, 1045)(398, 1046)(399, 1047)(400, 1048)(401, 1049)(402, 1050)(403, 1051)(404, 1052)(405, 1053)(406, 1054)(407, 1055)(408, 1056)(409, 1057)(410, 1058)(411, 1059)(412, 1060)(413, 1061)(414, 1062)(415, 1063)(416, 1064)(417, 1065)(418, 1066)(419, 1067)(420, 1068)(421, 1069)(422, 1070)(423, 1071)(424, 1072)(425, 1073)(426, 1074)(427, 1075)(428, 1076)(429, 1077)(430, 1078)(431, 1079)(432, 1080)(433, 1081)(434, 1082)(435, 1083)(436, 1084)(437, 1085)(438, 1086)(439, 1087)(440, 1088)(441, 1089)(442, 1090)(443, 1091)(444, 1092)(445, 1093)(446, 1094)(447, 1095)(448, 1096)(449, 1097)(450, 1098)(451, 1099)(452, 1100)(453, 1101)(454, 1102)(455, 1103)(456, 1104)(457, 1105)(458, 1106)(459, 1107)(460, 1108)(461, 1109)(462, 1110)(463, 1111)(464, 1112)(465, 1113)(466, 1114)(467, 1115)(468, 1116)(469, 1117)(470, 1118)(471, 1119)(472, 1120)(473, 1121)(474, 1122)(475, 1123)(476, 1124)(477, 1125)(478, 1126)(479, 1127)(480, 1128)(481, 1129)(482, 1130)(483, 1131)(484, 1132)(485, 1133)(486, 1134)(487, 1135)(488, 1136)(489, 1137)(490, 1138)(491, 1139)(492, 1140)(493, 1141)(494, 1142)(495, 1143)(496, 1144)(497, 1145)(498, 1146)(499, 1147)(500, 1148)(501, 1149)(502, 1150)(503, 1151)(504, 1152)(505, 1153)(506, 1154)(507, 1155)(508, 1156)(509, 1157)(510, 1158)(511, 1159)(512, 1160)(513, 1161)(514, 1162)(515, 1163)(516, 1164)(517, 1165)(518, 1166)(519, 1167)(520, 1168)(521, 1169)(522, 1170)(523, 1171)(524, 1172)(525, 1173)(526, 1174)(527, 1175)(528, 1176)(529, 1177)(530, 1178)(531, 1179)(532, 1180)(533, 1181)(534, 1182)(535, 1183)(536, 1184)(537, 1185)(538, 1186)(539, 1187)(540, 1188)(541, 1189)(542, 1190)(543, 1191)(544, 1192)(545, 1193)(546, 1194)(547, 1195)(548, 1196)(549, 1197)(550, 1198)(551, 1199)(552, 1200)(553, 1201)(554, 1202)(555, 1203)(556, 1204)(557, 1205)(558, 1206)(559, 1207)(560, 1208)(561, 1209)(562, 1210)(563, 1211)(564, 1212)(565, 1213)(566, 1214)(567, 1215)(568, 1216)(569, 1217)(570, 1218)(571, 1219)(572, 1220)(573, 1221)(574, 1222)(575, 1223)(576, 1224)(577, 1225)(578, 1226)(579, 1227)(580, 1228)(581, 1229)(582, 1230)(583, 1231)(584, 1232)(585, 1233)(586, 1234)(587, 1235)(588, 1236)(589, 1237)(590, 1238)(591, 1239)(592, 1240)(593, 1241)(594, 1242)(595, 1243)(596, 1244)(597, 1245)(598, 1246)(599, 1247)(600, 1248)(601, 1249)(602, 1250)(603, 1251)(604, 1252)(605, 1253)(606, 1254)(607, 1255)(608, 1256)(609, 1257)(610, 1258)(611, 1259)(612, 1260)(613, 1261)(614, 1262)(615, 1263)(616, 1264)(617, 1265)(618, 1266)(619, 1267)(620, 1268)(621, 1269)(622, 1270)(623, 1271)(624, 1272)(625, 1273)(626, 1274)(627, 1275)(628, 1276)(629, 1277)(630, 1278)(631, 1279)(632, 1280)(633, 1281)(634, 1282)(635, 1283)(636, 1284)(637, 1285)(638, 1286)(639, 1287)(640, 1288)(641, 1289)(642, 1290)(643, 1291)(644, 1292)(645, 1293)(646, 1294)(647, 1295)(648, 1296)
	local type(s) :: { ( 8, 8 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E28.3322
Transitivity :: ET+
Graph:: simple bipartite
	v = 432 e = 648 f = 162
	degree seq :: [ 2^324, 6^108 ]

E28.3322 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 6})
Quotient :: loop
Aut^+ = $<648, 545>$ (small group id <648, 545>)
Aut   = $<1296, 2909>$ (small group id <1296, 2909>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T2)^2, (F * T1)^2, (T2^-1 * T1)^6, T2 * T1 * T2^-2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^2 * T1 * T2 * T1 * T2^-1 * T1, T2^-1 * T1 * T2^-2 * T1 * T2^2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-1, T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2 * T1 * T2^-2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 ]
Map::
	R = (1, 649, 3, 651, 8, 656, 4, 652)(2, 650, 5, 653, 11, 659, 6, 654)(7, 655, 13, 661, 24, 672, 14, 662)(9, 657, 16, 664, 29, 677, 17, 665)(10, 658, 18, 666, 32, 680, 19, 667)(12, 660, 21, 669, 37, 685, 22, 670)(15, 663, 26, 674, 45, 693, 27, 675)(20, 668, 34, 682, 58, 706, 35, 683)(23, 671, 39, 687, 65, 713, 40, 688)(25, 673, 42, 690, 70, 718, 43, 691)(28, 676, 47, 695, 78, 726, 48, 696)(30, 678, 50, 698, 83, 731, 51, 699)(31, 679, 52, 700, 84, 732, 53, 701)(33, 681, 55, 703, 89, 737, 56, 704)(36, 684, 60, 708, 97, 745, 61, 709)(38, 686, 63, 711, 102, 750, 64, 712)(41, 689, 67, 715, 107, 755, 68, 716)(44, 692, 72, 720, 114, 762, 73, 721)(46, 694, 75, 723, 119, 767, 76, 724)(49, 697, 80, 728, 126, 774, 81, 729)(54, 702, 86, 734, 135, 783, 87, 735)(57, 705, 91, 739, 142, 790, 92, 740)(59, 707, 94, 742, 147, 795, 95, 743)(62, 710, 99, 747, 154, 802, 100, 748)(66, 714, 104, 752, 162, 810, 105, 753)(69, 717, 109, 757, 170, 818, 110, 758)(71, 719, 112, 760, 175, 823, 113, 761)(74, 722, 116, 764, 180, 828, 117, 765)(77, 725, 120, 768, 185, 833, 121, 769)(79, 727, 123, 771, 190, 838, 124, 772)(82, 730, 128, 776, 198, 846, 129, 777)(85, 733, 132, 780, 205, 853, 133, 781)(88, 736, 137, 785, 213, 861, 138, 786)(90, 738, 140, 788, 218, 866, 141, 789)(93, 741, 144, 792, 223, 871, 145, 793)(96, 744, 148, 796, 228, 876, 149, 797)(98, 746, 151, 799, 233, 881, 152, 800)(101, 749, 156, 804, 241, 889, 157, 805)(103, 751, 159, 807, 246, 894, 160, 808)(106, 754, 164, 812, 253, 901, 165, 813)(108, 756, 167, 815, 257, 905, 168, 816)(111, 759, 172, 820, 262, 910, 173, 821)(115, 763, 177, 825, 269, 917, 178, 826)(118, 766, 182, 830, 276, 924, 183, 831)(122, 770, 187, 835, 283, 931, 188, 836)(125, 773, 192, 840, 286, 934, 193, 841)(127, 775, 195, 843, 288, 936, 196, 844)(130, 778, 200, 848, 293, 941, 201, 849)(131, 779, 202, 850, 296, 944, 203, 851)(134, 782, 207, 855, 303, 951, 208, 856)(136, 784, 210, 858, 307, 955, 211, 859)(139, 787, 215, 863, 312, 960, 216, 864)(143, 791, 220, 868, 319, 967, 221, 869)(146, 794, 225, 873, 326, 974, 226, 874)(150, 798, 230, 878, 333, 981, 231, 879)(153, 801, 235, 883, 336, 984, 236, 884)(155, 803, 238, 886, 338, 986, 239, 887)(158, 806, 243, 891, 343, 991, 244, 892)(161, 809, 248, 896, 189, 837, 249, 897)(163, 811, 251, 899, 355, 1003, 252, 900)(166, 814, 255, 903, 194, 842, 256, 904)(169, 817, 258, 906, 362, 1010, 259, 907)(171, 819, 260, 908, 199, 847, 261, 909)(174, 822, 264, 912, 370, 1018, 265, 913)(176, 824, 267, 915, 375, 1023, 268, 916)(179, 827, 271, 919, 380, 1028, 272, 920)(181, 829, 273, 921, 382, 1030, 274, 922)(184, 832, 277, 925, 385, 1033, 278, 926)(186, 834, 280, 928, 390, 1038, 281, 929)(191, 839, 284, 932, 396, 1044, 285, 933)(197, 845, 289, 937, 400, 1048, 290, 938)(204, 852, 298, 946, 232, 880, 299, 947)(206, 854, 301, 949, 417, 1065, 302, 950)(209, 857, 305, 953, 237, 885, 306, 954)(212, 860, 308, 956, 424, 1072, 309, 957)(214, 862, 310, 958, 242, 890, 311, 959)(217, 865, 314, 962, 432, 1080, 315, 963)(219, 867, 317, 965, 437, 1085, 318, 966)(222, 870, 321, 969, 442, 1090, 322, 970)(224, 872, 323, 971, 444, 1092, 324, 972)(227, 875, 327, 975, 447, 1095, 328, 976)(229, 877, 330, 978, 452, 1100, 331, 979)(234, 882, 334, 982, 458, 1106, 335, 983)(240, 888, 339, 987, 462, 1110, 340, 988)(245, 893, 345, 993, 431, 1079, 346, 994)(247, 895, 348, 996, 412, 1060, 349, 997)(250, 898, 352, 1000, 472, 1120, 353, 1001)(254, 902, 357, 1005, 476, 1124, 358, 1006)(263, 911, 367, 1015, 485, 1133, 368, 1016)(266, 914, 372, 1020, 487, 1135, 373, 1021)(270, 918, 378, 1026, 492, 1140, 379, 1027)(275, 923, 383, 1031, 496, 1144, 384, 1032)(279, 927, 387, 1035, 500, 1148, 388, 1036)(282, 930, 392, 1040, 502, 1150, 393, 1041)(287, 935, 398, 1046, 490, 1138, 377, 1025)(291, 939, 402, 1050, 494, 1142, 381, 1029)(292, 940, 403, 1051, 426, 1074, 376, 1024)(294, 942, 405, 1053, 453, 1101, 406, 1054)(295, 943, 407, 1055, 369, 1017, 408, 1056)(297, 945, 410, 1058, 350, 998, 411, 1059)(300, 948, 414, 1062, 514, 1162, 415, 1063)(304, 952, 419, 1067, 518, 1166, 420, 1068)(313, 961, 429, 1077, 527, 1175, 430, 1078)(316, 964, 434, 1082, 529, 1177, 435, 1083)(320, 968, 440, 1088, 534, 1182, 441, 1089)(325, 973, 445, 1093, 538, 1186, 446, 1094)(329, 977, 449, 1097, 542, 1190, 450, 1098)(332, 980, 454, 1102, 544, 1192, 455, 1103)(337, 985, 460, 1108, 532, 1180, 439, 1087)(341, 989, 464, 1112, 536, 1184, 443, 1091)(342, 990, 465, 1113, 364, 1012, 438, 1086)(344, 992, 467, 1115, 391, 1039, 468, 1116)(347, 995, 469, 1117, 366, 1014, 470, 1118)(351, 999, 459, 1107, 371, 1019, 471, 1119)(354, 1002, 474, 1122, 530, 1178, 436, 1084)(356, 1004, 475, 1123, 548, 1196, 457, 1105)(359, 1007, 478, 1126, 561, 1209, 479, 1127)(360, 1008, 480, 1128, 563, 1211, 481, 1129)(361, 1009, 427, 1075, 525, 1173, 451, 1099)(363, 1011, 482, 1130, 550, 1198, 461, 1109)(365, 1013, 483, 1131, 389, 1037, 423, 1071)(374, 1022, 416, 1064, 516, 1164, 488, 1136)(386, 1034, 499, 1147, 551, 1199, 463, 1111)(394, 1042, 504, 1152, 404, 1052, 505, 1153)(395, 1043, 418, 1066, 517, 1165, 506, 1154)(397, 1045, 433, 1081, 513, 1161, 413, 1061)(399, 1047, 425, 1073, 524, 1172, 508, 1156)(401, 1049, 448, 1096, 541, 1189, 509, 1157)(409, 1057, 511, 1159, 428, 1076, 512, 1160)(421, 1069, 520, 1168, 587, 1235, 521, 1169)(422, 1070, 522, 1170, 589, 1237, 523, 1171)(456, 1104, 546, 1194, 466, 1114, 547, 1195)(473, 1121, 555, 1203, 608, 1256, 556, 1204)(477, 1125, 559, 1207, 501, 1149, 560, 1208)(484, 1132, 566, 1214, 610, 1258, 558, 1206)(486, 1134, 568, 1216, 507, 1155, 562, 1210)(489, 1137, 569, 1217, 498, 1146, 570, 1218)(491, 1139, 572, 1220, 609, 1257, 557, 1205)(493, 1141, 573, 1221, 612, 1260, 565, 1213)(495, 1143, 554, 1202, 607, 1255, 564, 1212)(497, 1145, 574, 1222, 613, 1261, 567, 1215)(503, 1151, 571, 1219, 615, 1263, 576, 1224)(510, 1158, 575, 1223, 616, 1264, 578, 1226)(515, 1163, 581, 1229, 622, 1270, 582, 1230)(519, 1167, 585, 1233, 543, 1191, 586, 1234)(526, 1174, 592, 1240, 624, 1272, 584, 1232)(528, 1176, 594, 1242, 549, 1197, 588, 1236)(531, 1179, 595, 1243, 540, 1188, 596, 1244)(533, 1181, 598, 1246, 623, 1271, 583, 1231)(535, 1183, 599, 1247, 626, 1274, 591, 1239)(537, 1185, 580, 1228, 621, 1269, 590, 1238)(539, 1187, 600, 1248, 627, 1275, 593, 1241)(545, 1193, 597, 1245, 629, 1277, 602, 1250)(552, 1200, 601, 1249, 630, 1278, 604, 1252)(553, 1201, 605, 1253, 633, 1281, 606, 1254)(577, 1225, 617, 1265, 638, 1286, 618, 1266)(579, 1227, 619, 1267, 639, 1287, 620, 1268)(603, 1251, 631, 1279, 644, 1292, 632, 1280)(611, 1259, 635, 1283, 645, 1293, 634, 1282)(614, 1262, 636, 1284, 646, 1294, 637, 1285)(625, 1273, 641, 1289, 647, 1295, 640, 1288)(628, 1276, 642, 1290, 648, 1296, 643, 1291)
	L = (1, 650)(2, 649)(3, 655)(4, 657)(5, 658)(6, 660)(7, 651)(8, 663)(9, 652)(10, 653)(11, 668)(12, 654)(13, 671)(14, 673)(15, 656)(16, 676)(17, 678)(18, 679)(19, 681)(20, 659)(21, 684)(22, 686)(23, 661)(24, 689)(25, 662)(26, 692)(27, 694)(28, 664)(29, 697)(30, 665)(31, 666)(32, 702)(33, 667)(34, 705)(35, 707)(36, 669)(37, 710)(38, 670)(39, 712)(40, 714)(41, 672)(42, 717)(43, 719)(44, 674)(45, 722)(46, 675)(47, 725)(48, 727)(49, 677)(50, 730)(51, 700)(52, 699)(53, 733)(54, 680)(55, 736)(56, 738)(57, 682)(58, 741)(59, 683)(60, 744)(61, 746)(62, 685)(63, 749)(64, 687)(65, 751)(66, 688)(67, 754)(68, 756)(69, 690)(70, 759)(71, 691)(72, 761)(73, 763)(74, 693)(75, 766)(76, 768)(77, 695)(78, 770)(79, 696)(80, 773)(81, 775)(82, 698)(83, 778)(84, 779)(85, 701)(86, 782)(87, 784)(88, 703)(89, 787)(90, 704)(91, 789)(92, 791)(93, 706)(94, 794)(95, 796)(96, 708)(97, 798)(98, 709)(99, 801)(100, 803)(101, 711)(102, 806)(103, 713)(104, 809)(105, 811)(106, 715)(107, 814)(108, 716)(109, 817)(110, 819)(111, 718)(112, 822)(113, 720)(114, 824)(115, 721)(116, 827)(117, 829)(118, 723)(119, 832)(120, 724)(121, 834)(122, 726)(123, 837)(124, 839)(125, 728)(126, 842)(127, 729)(128, 845)(129, 847)(130, 731)(131, 732)(132, 852)(133, 854)(134, 734)(135, 857)(136, 735)(137, 860)(138, 862)(139, 737)(140, 865)(141, 739)(142, 867)(143, 740)(144, 870)(145, 872)(146, 742)(147, 875)(148, 743)(149, 877)(150, 745)(151, 880)(152, 882)(153, 747)(154, 885)(155, 748)(156, 888)(157, 890)(158, 750)(159, 893)(160, 895)(161, 752)(162, 898)(163, 753)(164, 900)(165, 902)(166, 755)(167, 863)(168, 906)(169, 757)(170, 868)(171, 758)(172, 858)(173, 911)(174, 760)(175, 914)(176, 762)(177, 861)(178, 918)(179, 764)(180, 871)(181, 765)(182, 923)(183, 881)(184, 767)(185, 927)(186, 769)(187, 930)(188, 884)(189, 771)(190, 874)(191, 772)(192, 933)(193, 879)(194, 774)(195, 935)(196, 937)(197, 776)(198, 939)(199, 777)(200, 940)(201, 942)(202, 943)(203, 945)(204, 780)(205, 948)(206, 781)(207, 950)(208, 952)(209, 783)(210, 820)(211, 956)(212, 785)(213, 825)(214, 786)(215, 815)(216, 961)(217, 788)(218, 964)(219, 790)(220, 818)(221, 968)(222, 792)(223, 828)(224, 793)(225, 973)(226, 838)(227, 795)(228, 977)(229, 797)(230, 980)(231, 841)(232, 799)(233, 831)(234, 800)(235, 983)(236, 836)(237, 802)(238, 985)(239, 987)(240, 804)(241, 989)(242, 805)(243, 990)(244, 992)(245, 807)(246, 995)(247, 808)(248, 998)(249, 999)(250, 810)(251, 1002)(252, 812)(253, 1004)(254, 813)(255, 1007)(256, 1008)(257, 1009)(258, 816)(259, 1011)(260, 1012)(261, 1013)(262, 1014)(263, 821)(264, 1017)(265, 1019)(266, 823)(267, 1022)(268, 1024)(269, 1025)(270, 826)(271, 1027)(272, 1029)(273, 1000)(274, 1031)(275, 830)(276, 1005)(277, 996)(278, 1034)(279, 833)(280, 1037)(281, 1039)(282, 835)(283, 1042)(284, 1043)(285, 840)(286, 1045)(287, 843)(288, 1047)(289, 844)(290, 1049)(291, 846)(292, 848)(293, 1052)(294, 849)(295, 850)(296, 1057)(297, 851)(298, 1060)(299, 1061)(300, 853)(301, 1064)(302, 855)(303, 1066)(304, 856)(305, 1069)(306, 1070)(307, 1071)(308, 859)(309, 1073)(310, 1074)(311, 1075)(312, 1076)(313, 864)(314, 1079)(315, 1081)(316, 866)(317, 1084)(318, 1086)(319, 1087)(320, 869)(321, 1089)(322, 1091)(323, 1062)(324, 1093)(325, 873)(326, 1067)(327, 1058)(328, 1096)(329, 876)(330, 1099)(331, 1101)(332, 878)(333, 1104)(334, 1105)(335, 883)(336, 1107)(337, 886)(338, 1109)(339, 887)(340, 1111)(341, 889)(342, 891)(343, 1114)(344, 892)(345, 1116)(346, 1078)(347, 894)(348, 925)(349, 1059)(350, 896)(351, 897)(352, 921)(353, 1121)(354, 899)(355, 1083)(356, 901)(357, 924)(358, 1125)(359, 903)(360, 904)(361, 905)(362, 1098)(363, 907)(364, 908)(365, 909)(366, 910)(367, 1132)(368, 1056)(369, 912)(370, 1134)(371, 913)(372, 1106)(373, 1065)(374, 915)(375, 1137)(376, 916)(377, 917)(378, 1139)(379, 919)(380, 1141)(381, 920)(382, 1143)(383, 922)(384, 1145)(385, 1146)(386, 926)(387, 1110)(388, 1072)(389, 928)(390, 1149)(391, 929)(392, 1115)(393, 1151)(394, 931)(395, 932)(396, 1082)(397, 934)(398, 1155)(399, 936)(400, 1097)(401, 938)(402, 1158)(403, 1113)(404, 941)(405, 1102)(406, 1055)(407, 1054)(408, 1016)(409, 944)(410, 975)(411, 997)(412, 946)(413, 947)(414, 971)(415, 1163)(416, 949)(417, 1021)(418, 951)(419, 974)(420, 1167)(421, 953)(422, 954)(423, 955)(424, 1036)(425, 957)(426, 958)(427, 959)(428, 960)(429, 1174)(430, 994)(431, 962)(432, 1176)(433, 963)(434, 1044)(435, 1003)(436, 965)(437, 1179)(438, 966)(439, 967)(440, 1181)(441, 969)(442, 1183)(443, 970)(444, 1185)(445, 972)(446, 1187)(447, 1188)(448, 976)(449, 1048)(450, 1010)(451, 978)(452, 1191)(453, 979)(454, 1053)(455, 1193)(456, 981)(457, 982)(458, 1020)(459, 984)(460, 1197)(461, 986)(462, 1035)(463, 988)(464, 1200)(465, 1051)(466, 991)(467, 1040)(468, 993)(469, 1201)(470, 1171)(471, 1202)(472, 1184)(473, 1001)(474, 1164)(475, 1205)(476, 1206)(477, 1006)(478, 1208)(479, 1210)(480, 1195)(481, 1160)(482, 1212)(483, 1213)(484, 1015)(485, 1215)(486, 1018)(487, 1182)(488, 1204)(489, 1023)(490, 1219)(491, 1026)(492, 1177)(493, 1028)(494, 1162)(495, 1030)(496, 1190)(497, 1032)(498, 1033)(499, 1223)(500, 1186)(501, 1038)(502, 1220)(503, 1041)(504, 1225)(505, 1170)(506, 1221)(507, 1046)(508, 1222)(509, 1199)(510, 1050)(511, 1227)(512, 1129)(513, 1228)(514, 1142)(515, 1063)(516, 1122)(517, 1231)(518, 1232)(519, 1068)(520, 1234)(521, 1236)(522, 1153)(523, 1118)(524, 1238)(525, 1239)(526, 1077)(527, 1241)(528, 1080)(529, 1140)(530, 1230)(531, 1085)(532, 1245)(533, 1088)(534, 1135)(535, 1090)(536, 1120)(537, 1092)(538, 1148)(539, 1094)(540, 1095)(541, 1249)(542, 1144)(543, 1100)(544, 1246)(545, 1103)(546, 1251)(547, 1128)(548, 1247)(549, 1108)(550, 1248)(551, 1157)(552, 1112)(553, 1117)(554, 1119)(555, 1240)(556, 1136)(557, 1123)(558, 1124)(559, 1242)(560, 1126)(561, 1259)(562, 1127)(563, 1244)(564, 1130)(565, 1131)(566, 1229)(567, 1133)(568, 1233)(569, 1262)(570, 1237)(571, 1138)(572, 1150)(573, 1154)(574, 1156)(575, 1147)(576, 1252)(577, 1152)(578, 1250)(579, 1159)(580, 1161)(581, 1214)(582, 1178)(583, 1165)(584, 1166)(585, 1216)(586, 1168)(587, 1273)(588, 1169)(589, 1218)(590, 1172)(591, 1173)(592, 1203)(593, 1175)(594, 1207)(595, 1276)(596, 1211)(597, 1180)(598, 1192)(599, 1196)(600, 1198)(601, 1189)(602, 1226)(603, 1194)(604, 1224)(605, 1275)(606, 1270)(607, 1282)(608, 1268)(609, 1280)(610, 1277)(611, 1209)(612, 1283)(613, 1267)(614, 1217)(615, 1272)(616, 1279)(617, 1278)(618, 1271)(619, 1261)(620, 1256)(621, 1288)(622, 1254)(623, 1266)(624, 1263)(625, 1235)(626, 1289)(627, 1253)(628, 1243)(629, 1258)(630, 1265)(631, 1264)(632, 1257)(633, 1290)(634, 1255)(635, 1260)(636, 1287)(637, 1292)(638, 1291)(639, 1284)(640, 1269)(641, 1274)(642, 1281)(643, 1286)(644, 1285)(645, 1296)(646, 1295)(647, 1294)(648, 1293)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.3321
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 162 e = 648 f = 432
	degree seq :: [ 8^162 ]

E28.3323 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 6})
Quotient :: loop
Aut^+ = $<648, 545>$ (small group id <648, 545>)
Aut   = $<1296, 2909>$ (small group id <1296, 2909>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (F * T1)^2, (F * T2)^2, T1^4, T2^6, (T2 * T1^-1)^6, T2 * T1^-2 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1 * T2^-2 * T1 * T2^-1 * T1^-1, T2 * T1^-1 * T2^-1 * T1 * T2^2 * T1^2 * T2^-2 * T1^-2 * T2^-2 * T1^-2, T2 * T1^-1 * T2^-2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-1 * T1^-1, T1^-1 * T2^-1 * T1 * T2^2 * T1^2 * T2 * T1^-1 * T2 * T1^-1 * T2^-2 * T1^-1 * T2 * T1^-1, T2 * T1 * T2^-2 * T1^-1 * T2^2 * T1 * T2^-1 * T1^-1 * T2^2 * T1^-1 * T2^2 * T1^-1, T2 * T1^-1 * T2^2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-2 * T1^-2 ]
Map::
	R = (1, 649, 3, 651, 10, 658, 24, 672, 14, 662, 5, 653)(2, 650, 7, 655, 17, 665, 37, 685, 20, 668, 8, 656)(4, 652, 12, 660, 27, 675, 46, 694, 22, 670, 9, 657)(6, 654, 15, 663, 32, 680, 63, 711, 35, 683, 16, 664)(11, 659, 26, 674, 52, 700, 91, 739, 48, 696, 23, 671)(13, 661, 29, 677, 57, 705, 106, 754, 60, 708, 30, 678)(18, 666, 39, 687, 74, 722, 129, 777, 70, 718, 36, 684)(19, 667, 40, 688, 76, 724, 139, 787, 79, 727, 41, 689)(21, 669, 43, 691, 81, 729, 148, 796, 84, 732, 44, 692)(25, 673, 51, 699, 95, 743, 169, 817, 93, 741, 49, 697)(28, 676, 56, 704, 103, 751, 182, 830, 101, 749, 54, 702)(31, 679, 50, 698, 94, 742, 170, 818, 113, 761, 61, 709)(33, 681, 65, 713, 119, 767, 205, 853, 115, 763, 62, 710)(34, 682, 66, 714, 121, 769, 215, 863, 124, 772, 67, 715)(38, 686, 73, 721, 133, 781, 233, 881, 131, 779, 71, 719)(42, 690, 72, 720, 132, 780, 234, 882, 146, 794, 80, 728)(45, 693, 85, 733, 154, 802, 269, 917, 157, 805, 86, 734)(47, 695, 88, 736, 159, 807, 278, 926, 162, 810, 89, 737)(53, 701, 99, 747, 178, 826, 306, 954, 176, 824, 97, 745)(55, 703, 102, 750, 183, 831, 276, 924, 158, 806, 87, 735)(58, 706, 108, 756, 193, 841, 327, 975, 189, 837, 105, 753)(59, 707, 109, 757, 195, 843, 337, 985, 197, 845, 110, 758)(64, 712, 118, 766, 209, 857, 357, 1005, 207, 855, 116, 764)(68, 716, 117, 765, 208, 856, 358, 1006, 222, 870, 125, 773)(69, 717, 126, 774, 223, 871, 382, 1030, 226, 874, 127, 775)(75, 723, 137, 785, 242, 890, 410, 1058, 240, 888, 135, 783)(77, 725, 141, 789, 248, 896, 417, 1065, 244, 892, 138, 786)(78, 726, 142, 790, 250, 898, 427, 1075, 252, 900, 143, 791)(82, 730, 150, 798, 262, 910, 437, 1085, 258, 906, 147, 795)(83, 731, 151, 799, 264, 912, 443, 1091, 266, 914, 152, 800)(90, 738, 163, 811, 284, 932, 461, 1109, 287, 935, 164, 812)(92, 740, 166, 814, 289, 937, 424, 1072, 292, 940, 167, 815)(96, 744, 174, 822, 302, 950, 477, 1125, 300, 948, 172, 820)(98, 746, 177, 825, 307, 955, 467, 1115, 288, 936, 165, 813)(100, 748, 179, 827, 310, 958, 472, 1120, 313, 961, 180, 828)(104, 752, 187, 835, 323, 971, 494, 1142, 321, 969, 185, 833)(107, 755, 192, 840, 331, 979, 434, 1082, 329, 977, 190, 838)(111, 759, 191, 839, 330, 978, 418, 1066, 342, 990, 198, 846)(112, 760, 199, 847, 343, 991, 508, 1156, 345, 993, 200, 848)(114, 762, 202, 850, 347, 995, 513, 1161, 350, 998, 203, 851)(120, 768, 213, 861, 366, 1014, 530, 1178, 364, 1012, 211, 859)(122, 770, 217, 865, 372, 1020, 534, 1182, 368, 1016, 214, 862)(123, 771, 218, 866, 374, 1022, 540, 1188, 376, 1024, 219, 867)(128, 776, 227, 875, 388, 1036, 299, 947, 391, 1039, 228, 876)(130, 778, 230, 878, 393, 1041, 283, 931, 396, 1044, 231, 879)(134, 782, 238, 886, 406, 1054, 562, 1210, 404, 1052, 236, 884)(136, 784, 241, 889, 411, 1059, 285, 933, 392, 1040, 229, 877)(140, 788, 247, 895, 421, 1069, 546, 1194, 419, 1067, 245, 893)(144, 792, 246, 894, 420, 1068, 535, 1183, 432, 1080, 253, 901)(145, 793, 254, 902, 433, 1081, 584, 1232, 435, 1083, 255, 903)(149, 797, 261, 909, 441, 1089, 344, 992, 439, 1087, 259, 907)(153, 801, 260, 908, 440, 1088, 328, 976, 447, 1095, 267, 915)(155, 803, 271, 919, 451, 1099, 334, 982, 449, 1097, 268, 916)(156, 804, 272, 920, 453, 1101, 594, 1242, 455, 1103, 273, 921)(160, 808, 280, 928, 375, 1023, 541, 1189, 458, 1106, 277, 925)(161, 809, 281, 929, 373, 1021, 539, 1187, 460, 1108, 282, 930)(168, 816, 293, 941, 361, 1009, 527, 1175, 474, 1122, 294, 942)(171, 819, 298, 946, 475, 1123, 548, 1196, 380, 1028, 296, 944)(173, 821, 301, 949, 478, 1126, 523, 1171, 356, 1004, 295, 943)(175, 823, 303, 951, 367, 1015, 326, 974, 482, 1130, 304, 952)(181, 829, 314, 962, 487, 1135, 525, 1173, 491, 1139, 315, 963)(184, 832, 319, 967, 492, 1140, 600, 1248, 465, 1113, 317, 965)(186, 834, 322, 970, 495, 1143, 516, 1164, 466, 1114, 316, 964)(188, 836, 324, 972, 498, 1146, 529, 1177, 363, 1011, 325, 973)(194, 842, 335, 983, 500, 1148, 514, 1162, 349, 997, 333, 981)(196, 844, 339, 987, 459, 1107, 279, 927, 348, 996, 336, 984)(201, 849, 297, 945, 359, 1007, 524, 1172, 512, 1160, 346, 994)(204, 852, 351, 999, 515, 1163, 403, 1051, 517, 1165, 352, 1000)(206, 854, 354, 1002, 519, 1167, 387, 1035, 522, 1170, 355, 1003)(210, 858, 362, 1010, 528, 1176, 622, 1270, 526, 1174, 360, 1008)(212, 860, 365, 1013, 531, 1179, 389, 1037, 518, 1166, 353, 1001)(216, 864, 371, 1019, 538, 1186, 454, 1102, 536, 1184, 369, 1017)(220, 868, 370, 1018, 537, 1185, 438, 1086, 544, 1192, 377, 1025)(221, 869, 378, 1026, 545, 1193, 630, 1278, 547, 1195, 379, 1027)(224, 872, 384, 1032, 265, 913, 444, 1092, 549, 1197, 381, 1029)(225, 873, 385, 1033, 263, 911, 442, 1090, 551, 1199, 386, 1034)(232, 880, 397, 1045, 318, 966, 462, 1110, 559, 1207, 398, 1046)(235, 883, 402, 1050, 560, 1208, 456, 1104, 274, 922, 400, 1048)(237, 885, 405, 1053, 563, 1211, 457, 1105, 275, 923, 399, 1047)(239, 887, 407, 1055, 257, 905, 416, 1064, 567, 1215, 408, 1056)(243, 891, 414, 1062, 574, 1222, 493, 1141, 320, 968, 415, 1063)(249, 897, 425, 1073, 576, 1224, 490, 1138, 312, 960, 423, 1071)(251, 899, 429, 1077, 550, 1198, 383, 1031, 311, 959, 426, 1074)(256, 904, 401, 1049, 270, 918, 450, 1098, 588, 1236, 436, 1084)(286, 934, 463, 1111, 597, 1245, 621, 1269, 599, 1247, 464, 1112)(290, 938, 469, 1117, 533, 1181, 626, 1274, 566, 1214, 468, 1116)(291, 939, 470, 1118, 589, 1237, 628, 1276, 542, 1190, 471, 1119)(305, 953, 483, 1131, 608, 1256, 509, 1157, 610, 1258, 484, 1132)(308, 956, 488, 1136, 611, 1259, 632, 1280, 602, 1250, 486, 1134)(309, 957, 489, 1137, 612, 1260, 619, 1267, 520, 1168, 485, 1133)(332, 980, 473, 1121, 601, 1249, 631, 1279, 616, 1264, 499, 1147)(338, 986, 503, 1151, 605, 1253, 476, 1124, 604, 1252, 501, 1149)(340, 988, 502, 1150, 521, 1169, 620, 1268, 580, 1228, 505, 1153)(341, 989, 506, 1154, 603, 1251, 623, 1271, 617, 1265, 507, 1155)(390, 1038, 552, 1200, 633, 1281, 598, 1246, 634, 1282, 553, 1201)(394, 1042, 555, 1203, 497, 1145, 615, 1263, 624, 1272, 554, 1202)(395, 1043, 556, 1204, 504, 1152, 590, 1238, 445, 1093, 557, 1205)(409, 1057, 568, 1216, 642, 1290, 585, 1233, 644, 1292, 569, 1217)(412, 1060, 572, 1220, 645, 1293, 596, 1244, 636, 1284, 571, 1219)(413, 1061, 573, 1221, 481, 1129, 593, 1241, 452, 1100, 570, 1218)(422, 1070, 558, 1206, 635, 1283, 595, 1243, 646, 1294, 575, 1223)(428, 1076, 579, 1227, 639, 1287, 561, 1209, 638, 1286, 577, 1225)(430, 1078, 578, 1226, 448, 1096, 592, 1240, 627, 1275, 581, 1229)(431, 1079, 582, 1230, 637, 1285, 614, 1262, 647, 1295, 583, 1231)(446, 1094, 587, 1235, 640, 1288, 565, 1213, 643, 1291, 591, 1239)(479, 1127, 532, 1180, 625, 1273, 618, 1266, 510, 1158, 607, 1255)(480, 1128, 609, 1257, 629, 1277, 543, 1191, 511, 1159, 606, 1254)(496, 1144, 613, 1261, 648, 1296, 586, 1234, 641, 1289, 564, 1212)
	L = (1, 650)(2, 654)(3, 657)(4, 649)(5, 661)(6, 652)(7, 653)(8, 667)(9, 669)(10, 671)(11, 651)(12, 664)(13, 666)(14, 679)(15, 656)(16, 682)(17, 684)(18, 655)(19, 681)(20, 690)(21, 659)(22, 693)(23, 695)(24, 697)(25, 658)(26, 692)(27, 702)(28, 660)(29, 662)(30, 707)(31, 706)(32, 710)(33, 663)(34, 676)(35, 716)(36, 717)(37, 719)(38, 665)(39, 678)(40, 668)(41, 726)(42, 725)(43, 670)(44, 731)(45, 730)(46, 735)(47, 673)(48, 738)(49, 740)(50, 672)(51, 737)(52, 745)(53, 674)(54, 748)(55, 675)(56, 715)(57, 753)(58, 677)(59, 723)(60, 759)(61, 760)(62, 762)(63, 764)(64, 680)(65, 689)(66, 683)(67, 771)(68, 770)(69, 686)(70, 776)(71, 778)(72, 685)(73, 775)(74, 783)(75, 687)(76, 786)(77, 688)(78, 768)(79, 792)(80, 793)(81, 795)(82, 691)(83, 701)(84, 801)(85, 694)(86, 804)(87, 803)(88, 696)(89, 809)(90, 808)(91, 813)(92, 698)(93, 816)(94, 815)(95, 820)(96, 699)(97, 823)(98, 700)(99, 800)(100, 703)(101, 829)(102, 828)(103, 833)(104, 704)(105, 836)(106, 838)(107, 705)(108, 709)(109, 708)(110, 835)(111, 844)(112, 842)(113, 849)(114, 712)(115, 852)(116, 854)(117, 711)(118, 851)(119, 859)(120, 713)(121, 862)(122, 714)(123, 752)(124, 868)(125, 869)(126, 718)(127, 873)(128, 872)(129, 877)(130, 720)(131, 880)(132, 879)(133, 884)(134, 721)(135, 887)(136, 722)(137, 758)(138, 891)(139, 893)(140, 724)(141, 728)(142, 727)(143, 747)(144, 899)(145, 897)(146, 904)(147, 905)(148, 907)(149, 729)(150, 734)(151, 732)(152, 861)(153, 913)(154, 916)(155, 733)(156, 911)(157, 922)(158, 923)(159, 925)(160, 736)(161, 744)(162, 931)(163, 739)(164, 934)(165, 933)(166, 741)(167, 939)(168, 938)(169, 943)(170, 944)(171, 742)(172, 947)(173, 743)(174, 930)(175, 746)(176, 953)(177, 952)(178, 900)(179, 749)(180, 960)(181, 959)(182, 964)(183, 965)(184, 750)(185, 968)(186, 751)(187, 867)(188, 755)(189, 974)(190, 976)(191, 754)(192, 973)(193, 981)(194, 756)(195, 984)(196, 757)(197, 988)(198, 989)(199, 761)(200, 886)(201, 992)(202, 763)(203, 997)(204, 996)(205, 1001)(206, 765)(207, 1004)(208, 1003)(209, 1008)(210, 766)(211, 1011)(212, 767)(213, 791)(214, 1015)(215, 1017)(216, 769)(217, 773)(218, 772)(219, 785)(220, 1023)(221, 1021)(222, 1028)(223, 1029)(224, 774)(225, 782)(226, 1035)(227, 777)(228, 1038)(229, 1037)(230, 779)(231, 1043)(232, 1042)(233, 1047)(234, 1048)(235, 780)(236, 1051)(237, 781)(238, 1034)(239, 784)(240, 1057)(241, 1056)(242, 1024)(243, 788)(244, 1064)(245, 1066)(246, 787)(247, 1063)(248, 1071)(249, 789)(250, 1074)(251, 790)(252, 1078)(253, 1079)(254, 794)(255, 1010)(256, 1082)(257, 797)(258, 1062)(259, 1086)(260, 796)(261, 1055)(262, 1033)(263, 798)(264, 1032)(265, 799)(266, 1093)(267, 1094)(268, 1096)(269, 1049)(270, 802)(271, 806)(272, 805)(273, 822)(274, 1102)(275, 1100)(276, 1045)(277, 995)(278, 1107)(279, 807)(280, 812)(281, 810)(282, 1090)(283, 1020)(284, 1059)(285, 811)(286, 1022)(287, 1113)(288, 1114)(289, 1116)(290, 814)(291, 819)(292, 1120)(293, 817)(294, 1121)(295, 1005)(296, 1006)(297, 818)(298, 1119)(299, 821)(300, 1124)(301, 1036)(302, 1103)(303, 824)(304, 1129)(305, 1019)(306, 1133)(307, 1134)(308, 825)(309, 826)(310, 1031)(311, 827)(312, 832)(313, 1072)(314, 830)(315, 1076)(316, 1115)(317, 1109)(318, 831)(319, 1138)(320, 834)(321, 1070)(322, 1141)(323, 845)(324, 837)(325, 1012)(326, 1016)(327, 1099)(328, 839)(329, 1084)(330, 1088)(331, 1147)(332, 840)(333, 998)(334, 841)(335, 848)(336, 1000)(337, 1149)(338, 843)(339, 846)(340, 1145)(341, 1152)(342, 1067)(343, 1089)(344, 847)(345, 1158)(346, 1159)(347, 927)(348, 850)(349, 858)(350, 982)(351, 853)(352, 986)(353, 1164)(354, 855)(355, 1169)(356, 1168)(357, 941)(358, 945)(359, 856)(360, 1173)(361, 857)(362, 1162)(363, 860)(364, 980)(365, 1177)(366, 914)(367, 864)(368, 972)(369, 1183)(370, 863)(371, 951)(372, 929)(373, 865)(374, 928)(375, 866)(376, 1190)(377, 1191)(378, 870)(379, 967)(380, 1194)(381, 958)(382, 1198)(383, 871)(384, 876)(385, 874)(386, 983)(387, 910)(388, 1179)(389, 875)(390, 912)(391, 948)(392, 936)(393, 1202)(394, 878)(395, 883)(396, 926)(397, 881)(398, 1206)(399, 924)(400, 917)(401, 882)(402, 1205)(403, 885)(404, 1209)(405, 1163)(406, 993)(407, 888)(408, 1214)(409, 909)(410, 1218)(411, 1219)(412, 889)(413, 890)(414, 892)(415, 969)(416, 906)(417, 937)(418, 894)(419, 1196)(420, 978)(421, 1223)(422, 895)(423, 961)(424, 896)(425, 903)(426, 963)(427, 1225)(428, 898)(429, 901)(430, 957)(431, 1228)(432, 1184)(433, 979)(434, 902)(435, 1234)(436, 1235)(437, 1167)(438, 908)(439, 994)(440, 1185)(441, 1217)(442, 921)(443, 1201)(444, 915)(445, 1181)(446, 1237)(447, 977)(448, 918)(449, 1161)(450, 1226)(451, 1241)(452, 919)(453, 1186)(454, 920)(455, 1244)(456, 1230)(457, 1216)(458, 1240)(459, 1204)(460, 1224)(461, 966)(462, 932)(463, 935)(464, 946)(465, 1246)(466, 1166)(467, 962)(468, 1215)(469, 942)(470, 940)(471, 1188)(472, 1197)(473, 1178)(474, 1250)(475, 1247)(476, 1200)(477, 1254)(478, 1255)(479, 949)(480, 950)(481, 956)(482, 975)(483, 954)(484, 1243)(485, 1171)(486, 1175)(487, 955)(488, 1221)(489, 1229)(490, 1187)(491, 1174)(492, 1195)(493, 1260)(494, 1203)(495, 1212)(496, 970)(497, 971)(498, 1182)(499, 1233)(500, 1199)(501, 1172)(502, 985)(503, 1165)(504, 987)(505, 1231)(506, 990)(507, 1220)(508, 1256)(509, 991)(510, 1213)(511, 1192)(512, 1252)(513, 1106)(514, 1073)(515, 1143)(516, 999)(517, 1052)(518, 1040)(519, 1267)(520, 1002)(521, 1007)(522, 1030)(523, 1131)(524, 1150)(525, 1009)(526, 1269)(527, 1135)(528, 1083)(529, 1272)(530, 1117)(531, 1127)(532, 1013)(533, 1014)(534, 1041)(535, 1018)(536, 1104)(537, 1068)(538, 1132)(539, 1027)(540, 1112)(541, 1025)(542, 1061)(543, 1275)(544, 1087)(545, 1069)(546, 1026)(547, 1280)(548, 1154)(549, 1118)(550, 1268)(551, 1108)(552, 1039)(553, 1050)(554, 1146)(555, 1046)(556, 1044)(557, 1091)(558, 1142)(559, 1284)(560, 1282)(561, 1151)(562, 1288)(563, 1289)(564, 1053)(565, 1054)(566, 1060)(567, 1065)(568, 1058)(569, 1157)(570, 1105)(571, 1110)(572, 1274)(573, 1276)(574, 1085)(575, 1279)(576, 1148)(577, 1098)(578, 1075)(579, 1139)(580, 1077)(581, 1277)(582, 1080)(583, 1273)(584, 1290)(585, 1081)(586, 1271)(587, 1095)(588, 1286)(589, 1092)(590, 1155)(591, 1136)(592, 1097)(593, 1130)(594, 1283)(595, 1101)(596, 1128)(597, 1281)(598, 1111)(599, 1270)(600, 1285)(601, 1122)(602, 1278)(603, 1123)(604, 1125)(605, 1287)(606, 1160)(607, 1156)(608, 1126)(609, 1293)(610, 1292)(611, 1291)(612, 1144)(613, 1137)(614, 1140)(615, 1153)(616, 1294)(617, 1296)(618, 1295)(619, 1222)(620, 1170)(621, 1227)(622, 1251)(623, 1176)(624, 1180)(625, 1263)(626, 1238)(627, 1189)(628, 1239)(629, 1261)(630, 1249)(631, 1193)(632, 1262)(633, 1253)(634, 1248)(635, 1207)(636, 1242)(637, 1208)(638, 1210)(639, 1245)(640, 1236)(641, 1232)(642, 1211)(643, 1266)(644, 1264)(645, 1265)(646, 1258)(647, 1259)(648, 1257)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.3319
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 108 e = 648 f = 486
	degree seq :: [ 12^108 ]

E28.3324 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 6})
Quotient :: loop
Aut^+ = $<648, 545>$ (small group id <648, 545>)
Aut   = $<1296, 2909>$ (small group id <1296, 2909>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T2 * T1)^4, T2 * T1 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1, T1^-1 * T2 * T1 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^3 * T2 * T1^-2, T2 * T1^-2 * T2 * T1 * T2 * T1^3 * T2 * T1^-3 * T2 * T1^-1 * T2 * T1^2, (T2 * T1^2)^6 ]
Map:: polyhedral non-degenerate
	R = (1, 649, 3, 651)(2, 650, 6, 654)(4, 652, 9, 657)(5, 653, 12, 660)(7, 655, 16, 664)(8, 656, 17, 665)(10, 658, 21, 669)(11, 659, 22, 670)(13, 661, 26, 674)(14, 662, 27, 675)(15, 663, 30, 678)(18, 666, 34, 682)(19, 667, 36, 684)(20, 668, 31, 679)(23, 671, 43, 691)(24, 672, 44, 692)(25, 673, 47, 695)(28, 676, 50, 698)(29, 677, 51, 699)(32, 680, 55, 703)(33, 681, 58, 706)(35, 683, 62, 710)(37, 685, 65, 713)(38, 686, 67, 715)(39, 687, 63, 711)(40, 688, 70, 718)(41, 689, 71, 719)(42, 690, 74, 722)(45, 693, 77, 725)(46, 694, 78, 726)(48, 696, 81, 729)(49, 697, 84, 732)(52, 700, 90, 738)(53, 701, 91, 739)(54, 702, 94, 742)(56, 704, 96, 744)(57, 705, 97, 745)(59, 707, 101, 749)(60, 708, 98, 746)(61, 709, 103, 751)(64, 712, 107, 755)(66, 714, 112, 760)(68, 716, 114, 762)(69, 717, 116, 764)(72, 720, 119, 767)(73, 721, 120, 768)(75, 723, 123, 771)(76, 724, 126, 774)(79, 727, 132, 780)(80, 728, 133, 781)(82, 730, 136, 784)(83, 731, 137, 785)(85, 733, 141, 789)(86, 734, 138, 786)(87, 735, 144, 792)(88, 736, 145, 793)(89, 737, 148, 796)(92, 740, 151, 799)(93, 741, 152, 800)(95, 743, 156, 804)(99, 747, 162, 810)(100, 748, 165, 813)(102, 750, 167, 815)(104, 752, 171, 819)(105, 753, 172, 820)(106, 754, 175, 823)(108, 756, 177, 825)(109, 757, 179, 827)(110, 758, 153, 801)(111, 759, 181, 829)(113, 761, 184, 832)(115, 763, 188, 836)(117, 765, 191, 839)(118, 766, 194, 842)(121, 769, 200, 848)(122, 770, 201, 849)(124, 772, 204, 852)(125, 773, 205, 853)(127, 775, 209, 857)(128, 776, 206, 854)(129, 777, 212, 860)(130, 778, 213, 861)(131, 779, 216, 864)(134, 782, 219, 867)(135, 783, 221, 869)(139, 787, 227, 875)(140, 788, 230, 878)(142, 790, 232, 880)(143, 791, 234, 882)(146, 794, 237, 885)(147, 795, 238, 886)(149, 797, 241, 889)(150, 798, 244, 892)(154, 802, 250, 898)(155, 803, 252, 900)(157, 805, 256, 904)(158, 806, 253, 901)(159, 807, 259, 907)(160, 808, 260, 908)(161, 809, 263, 911)(163, 811, 265, 913)(164, 812, 266, 914)(166, 814, 269, 917)(168, 816, 274, 922)(169, 817, 275, 923)(170, 818, 278, 926)(173, 821, 281, 929)(174, 822, 282, 930)(176, 824, 286, 934)(178, 826, 290, 938)(180, 828, 292, 940)(182, 830, 296, 944)(183, 831, 297, 945)(185, 833, 300, 948)(186, 834, 302, 950)(187, 835, 283, 931)(189, 837, 307, 955)(190, 838, 308, 956)(192, 840, 311, 959)(193, 841, 312, 960)(195, 843, 316, 964)(196, 844, 313, 961)(197, 845, 319, 967)(198, 846, 320, 968)(199, 847, 323, 971)(202, 850, 326, 974)(203, 851, 328, 976)(207, 855, 334, 982)(208, 856, 337, 985)(210, 858, 339, 987)(211, 859, 341, 989)(214, 862, 344, 992)(215, 863, 345, 993)(217, 865, 348, 996)(218, 866, 351, 999)(220, 868, 354, 1002)(222, 870, 358, 1006)(223, 871, 355, 1003)(224, 872, 361, 1009)(225, 873, 362, 1010)(226, 874, 365, 1013)(228, 876, 367, 1015)(229, 877, 368, 1016)(231, 879, 371, 1019)(233, 881, 370, 1018)(235, 883, 376, 1024)(236, 884, 377, 1025)(239, 887, 382, 1030)(240, 888, 383, 1031)(242, 890, 385, 1033)(243, 891, 386, 1034)(245, 893, 340, 988)(246, 894, 387, 1035)(247, 895, 390, 1038)(248, 896, 391, 1039)(249, 897, 393, 1041)(251, 899, 394, 1042)(254, 902, 350, 998)(255, 903, 304, 952)(257, 905, 398, 1046)(258, 906, 399, 1047)(261, 909, 305, 953)(262, 910, 402, 1050)(264, 912, 331, 979)(267, 915, 410, 1058)(268, 916, 411, 1059)(270, 918, 366, 1014)(271, 919, 414, 1062)(272, 920, 403, 1051)(273, 921, 407, 1055)(276, 924, 415, 1063)(277, 925, 378, 1026)(279, 927, 404, 1052)(280, 928, 419, 1067)(284, 932, 400, 1048)(285, 933, 388, 1036)(287, 935, 423, 1071)(288, 936, 356, 1004)(289, 937, 424, 1072)(291, 939, 406, 1054)(293, 941, 357, 1005)(294, 942, 363, 1011)(295, 943, 431, 1079)(298, 946, 412, 1060)(299, 947, 396, 1044)(301, 949, 435, 1083)(303, 951, 381, 1029)(306, 954, 439, 1087)(309, 957, 441, 1089)(310, 958, 443, 1091)(314, 962, 445, 1093)(315, 963, 448, 1096)(317, 965, 449, 1097)(318, 966, 451, 1099)(321, 969, 452, 1100)(322, 970, 453, 1101)(324, 972, 455, 1103)(325, 973, 457, 1105)(327, 975, 460, 1108)(329, 977, 462, 1110)(330, 978, 461, 1109)(332, 980, 463, 1111)(333, 981, 465, 1113)(335, 983, 467, 1115)(336, 984, 468, 1116)(338, 986, 470, 1118)(342, 990, 474, 1122)(343, 991, 475, 1123)(346, 994, 478, 1126)(347, 995, 479, 1127)(349, 997, 481, 1129)(352, 1000, 450, 1098)(353, 1001, 482, 1130)(359, 1007, 486, 1134)(360, 1008, 487, 1135)(364, 1012, 489, 1137)(369, 1017, 494, 1142)(372, 1020, 466, 1114)(373, 1021, 496, 1144)(374, 1022, 490, 1138)(375, 1023, 498, 1146)(379, 1027, 499, 1147)(380, 1028, 503, 1151)(384, 1032, 507, 1155)(389, 1037, 510, 1158)(392, 1040, 512, 1160)(395, 1043, 515, 1163)(397, 1045, 517, 1165)(401, 1049, 522, 1170)(405, 1053, 524, 1172)(408, 1056, 516, 1164)(409, 1057, 528, 1176)(413, 1061, 529, 1177)(416, 1064, 523, 1171)(417, 1065, 532, 1180)(418, 1066, 518, 1166)(420, 1068, 534, 1182)(421, 1069, 505, 1153)(422, 1070, 520, 1168)(425, 1073, 506, 1154)(426, 1074, 541, 1189)(427, 1075, 508, 1156)(428, 1076, 538, 1186)(429, 1077, 542, 1190)(430, 1078, 530, 1178)(432, 1080, 513, 1161)(433, 1081, 535, 1183)(434, 1082, 545, 1193)(436, 1084, 548, 1196)(437, 1085, 549, 1197)(438, 1086, 550, 1198)(440, 1088, 552, 1200)(442, 1090, 555, 1203)(444, 1092, 557, 1205)(446, 1094, 558, 1206)(447, 1095, 559, 1207)(454, 1102, 565, 1213)(456, 1104, 566, 1214)(458, 1106, 547, 1195)(459, 1107, 567, 1215)(464, 1112, 572, 1220)(469, 1117, 576, 1224)(471, 1119, 578, 1226)(472, 1120, 573, 1221)(473, 1121, 580, 1228)(476, 1124, 581, 1229)(477, 1125, 584, 1232)(480, 1128, 585, 1233)(483, 1131, 586, 1234)(484, 1132, 587, 1235)(485, 1133, 589, 1237)(488, 1136, 592, 1240)(491, 1139, 593, 1241)(492, 1140, 588, 1236)(493, 1141, 595, 1243)(495, 1143, 596, 1244)(497, 1145, 569, 1217)(500, 1148, 599, 1247)(501, 1149, 600, 1248)(502, 1150, 601, 1249)(504, 1152, 602, 1250)(509, 1157, 605, 1253)(511, 1159, 563, 1211)(514, 1162, 582, 1230)(519, 1167, 554, 1202)(521, 1169, 560, 1208)(525, 1173, 570, 1218)(526, 1174, 609, 1257)(527, 1175, 590, 1238)(531, 1179, 571, 1219)(533, 1181, 610, 1258)(536, 1184, 597, 1245)(537, 1185, 562, 1210)(539, 1187, 604, 1252)(540, 1188, 603, 1251)(543, 1191, 608, 1256)(544, 1192, 606, 1254)(546, 1194, 591, 1239)(551, 1199, 616, 1264)(553, 1201, 617, 1265)(556, 1204, 619, 1267)(561, 1209, 622, 1270)(564, 1212, 625, 1273)(568, 1216, 626, 1274)(574, 1222, 628, 1276)(575, 1223, 627, 1275)(577, 1225, 630, 1278)(579, 1227, 618, 1266)(583, 1231, 631, 1279)(594, 1242, 632, 1280)(598, 1246, 633, 1281)(607, 1255, 637, 1285)(611, 1259, 634, 1282)(612, 1260, 620, 1268)(613, 1261, 623, 1271)(614, 1262, 635, 1283)(615, 1263, 640, 1288)(621, 1269, 641, 1289)(624, 1272, 643, 1291)(629, 1277, 644, 1292)(636, 1284, 646, 1294)(638, 1286, 645, 1293)(639, 1287, 647, 1295)(642, 1290, 648, 1296)
	L = (1, 650)(2, 653)(3, 655)(4, 649)(5, 659)(6, 661)(7, 663)(8, 651)(9, 667)(10, 652)(11, 658)(12, 671)(13, 673)(14, 654)(15, 677)(16, 679)(17, 681)(18, 656)(19, 683)(20, 657)(21, 686)(22, 688)(23, 690)(24, 660)(25, 694)(26, 665)(27, 697)(28, 662)(29, 666)(30, 700)(31, 702)(32, 664)(33, 705)(34, 707)(35, 709)(36, 711)(37, 668)(38, 714)(39, 669)(40, 717)(41, 670)(42, 721)(43, 675)(44, 724)(45, 672)(46, 676)(47, 727)(48, 674)(49, 731)(50, 733)(51, 735)(52, 737)(53, 678)(54, 741)(55, 743)(56, 680)(57, 730)(58, 746)(59, 748)(60, 682)(61, 685)(62, 752)(63, 754)(64, 684)(65, 757)(66, 759)(67, 719)(68, 687)(69, 763)(70, 692)(71, 766)(72, 689)(73, 693)(74, 769)(75, 691)(76, 773)(77, 775)(78, 777)(79, 779)(80, 695)(81, 783)(82, 696)(83, 772)(84, 786)(85, 788)(86, 698)(87, 791)(88, 699)(89, 795)(90, 703)(91, 798)(92, 701)(93, 704)(94, 801)(95, 803)(96, 805)(97, 807)(98, 809)(99, 706)(100, 812)(101, 793)(102, 708)(103, 816)(104, 818)(105, 710)(106, 822)(107, 824)(108, 712)(109, 826)(110, 713)(111, 716)(112, 830)(113, 715)(114, 834)(115, 720)(116, 837)(117, 718)(118, 841)(119, 843)(120, 845)(121, 847)(122, 722)(123, 851)(124, 723)(125, 840)(126, 854)(127, 856)(128, 725)(129, 859)(130, 726)(131, 863)(132, 729)(133, 866)(134, 728)(135, 868)(136, 870)(137, 872)(138, 874)(139, 732)(140, 877)(141, 861)(142, 734)(143, 881)(144, 739)(145, 884)(146, 736)(147, 740)(148, 887)(149, 738)(150, 891)(151, 893)(152, 895)(153, 897)(154, 742)(155, 890)(156, 901)(157, 903)(158, 744)(159, 906)(160, 745)(161, 910)(162, 912)(163, 747)(164, 750)(165, 915)(166, 749)(167, 919)(168, 921)(169, 751)(170, 925)(171, 755)(172, 928)(173, 753)(174, 756)(175, 931)(176, 933)(177, 935)(178, 937)(179, 923)(180, 758)(181, 941)(182, 943)(183, 760)(184, 947)(185, 761)(186, 949)(187, 762)(188, 952)(189, 954)(190, 764)(191, 958)(192, 765)(193, 833)(194, 961)(195, 963)(196, 767)(197, 966)(198, 768)(199, 970)(200, 771)(201, 973)(202, 770)(203, 975)(204, 977)(205, 979)(206, 981)(207, 774)(208, 984)(209, 968)(210, 776)(211, 988)(212, 781)(213, 991)(214, 778)(215, 782)(216, 994)(217, 780)(218, 998)(219, 1000)(220, 997)(221, 1003)(222, 1005)(223, 784)(224, 1008)(225, 785)(226, 1012)(227, 1014)(228, 787)(229, 790)(230, 1017)(231, 789)(232, 1021)(233, 794)(234, 1023)(235, 792)(236, 960)(237, 1026)(238, 1028)(239, 1029)(240, 796)(241, 1013)(242, 797)(243, 959)(244, 1035)(245, 985)(246, 799)(247, 986)(248, 800)(249, 1040)(250, 1009)(251, 802)(252, 999)(253, 976)(254, 804)(255, 956)(256, 1039)(257, 806)(258, 964)(259, 810)(260, 1049)(261, 808)(262, 811)(263, 1051)(264, 982)(265, 1053)(266, 1055)(267, 1057)(268, 813)(269, 1015)(270, 814)(271, 1061)(272, 815)(273, 1059)(274, 820)(275, 980)(276, 817)(277, 821)(278, 1064)(279, 819)(280, 978)(281, 1018)(282, 1020)(283, 1069)(284, 823)(285, 1066)(286, 1004)(287, 967)(288, 825)(289, 828)(290, 1073)(291, 827)(292, 1075)(293, 1076)(294, 829)(295, 1078)(296, 832)(297, 1007)(298, 831)(299, 1081)(300, 990)(301, 1082)(302, 1011)(303, 835)(304, 1084)(305, 836)(306, 1086)(307, 839)(308, 905)(309, 838)(310, 1090)(311, 883)(312, 918)(313, 1092)(314, 842)(315, 1095)(316, 909)(317, 844)(318, 1098)(319, 849)(320, 896)(321, 846)(322, 850)(323, 920)(324, 848)(325, 936)(326, 1106)(327, 1104)(328, 1109)(329, 922)(330, 852)(331, 939)(332, 853)(333, 1112)(334, 1114)(335, 855)(336, 858)(337, 1117)(338, 857)(339, 1119)(340, 862)(341, 1121)(342, 860)(343, 930)(344, 886)(345, 1125)(346, 940)(347, 864)(348, 1113)(349, 865)(350, 948)(351, 1130)(352, 1096)(353, 867)(354, 1105)(355, 1091)(356, 869)(357, 945)(358, 908)(359, 871)(360, 950)(361, 875)(362, 1136)(363, 873)(364, 876)(365, 1138)(366, 1093)(367, 1139)(368, 882)(369, 1141)(370, 878)(371, 1115)(372, 879)(373, 1143)(374, 880)(375, 1145)(376, 1111)(377, 1147)(378, 1148)(379, 885)(380, 1150)(381, 1152)(382, 889)(383, 1154)(384, 888)(385, 1133)(386, 934)(387, 1156)(388, 892)(389, 894)(390, 898)(391, 1159)(392, 899)(393, 1126)(394, 1162)(395, 900)(396, 902)(397, 904)(398, 1167)(399, 1168)(400, 907)(401, 1137)(402, 1166)(403, 1103)(404, 911)(405, 1151)(406, 913)(407, 1173)(408, 914)(409, 1175)(410, 917)(411, 924)(412, 916)(413, 1102)(414, 1164)(415, 1178)(416, 1097)(417, 926)(418, 927)(419, 1182)(420, 929)(421, 1184)(422, 932)(423, 1123)(424, 1186)(425, 1188)(426, 938)(427, 1128)(428, 1189)(429, 942)(430, 946)(431, 1120)(432, 944)(433, 1192)(434, 951)(435, 1194)(436, 1195)(437, 953)(438, 957)(439, 1022)(440, 955)(441, 1074)(442, 1201)(443, 1034)(444, 1204)(445, 1038)(446, 962)(447, 965)(448, 1208)(449, 1209)(450, 969)(451, 1210)(452, 993)(453, 1212)(454, 971)(455, 1205)(456, 972)(457, 1215)(458, 1083)(459, 974)(460, 1046)(461, 1044)(462, 1010)(463, 1219)(464, 983)(465, 1221)(466, 1048)(467, 1222)(468, 989)(469, 1037)(470, 1206)(471, 1225)(472, 987)(473, 1227)(474, 1025)(475, 1229)(476, 992)(477, 1231)(478, 996)(479, 1058)(480, 995)(481, 1218)(482, 1062)(483, 1001)(484, 1002)(485, 1006)(486, 1238)(487, 1042)(488, 1220)(489, 1033)(490, 1200)(491, 1232)(492, 1016)(493, 1068)(494, 1019)(495, 1199)(496, 1236)(497, 1242)(498, 1024)(499, 1245)(500, 1246)(501, 1027)(502, 1230)(503, 1031)(504, 1032)(505, 1030)(506, 1054)(507, 1243)(508, 1252)(509, 1036)(510, 1244)(511, 1050)(512, 1254)(513, 1041)(514, 1247)(515, 1255)(516, 1043)(517, 1253)(518, 1045)(519, 1226)(520, 1248)(521, 1047)(522, 1197)(523, 1052)(524, 1211)(525, 1235)(526, 1056)(527, 1060)(528, 1233)(529, 1234)(530, 1259)(531, 1063)(532, 1239)(533, 1065)(534, 1250)(535, 1067)(536, 1070)(537, 1071)(538, 1237)(539, 1072)(540, 1202)(541, 1077)(542, 1198)(543, 1079)(544, 1080)(545, 1196)(546, 1216)(547, 1085)(548, 1165)(549, 1101)(550, 1263)(551, 1087)(552, 1153)(553, 1088)(554, 1089)(555, 1134)(556, 1094)(557, 1171)(558, 1268)(559, 1099)(560, 1131)(561, 1181)(562, 1271)(563, 1100)(564, 1272)(565, 1142)(566, 1146)(567, 1144)(568, 1107)(569, 1108)(570, 1110)(571, 1267)(572, 1129)(573, 1161)(574, 1273)(575, 1116)(576, 1118)(577, 1191)(578, 1275)(579, 1277)(580, 1122)(581, 1160)(582, 1124)(583, 1172)(584, 1127)(585, 1158)(586, 1278)(587, 1174)(588, 1132)(589, 1163)(590, 1270)(591, 1135)(592, 1190)(593, 1170)(594, 1140)(595, 1177)(596, 1274)(597, 1265)(598, 1149)(599, 1180)(600, 1282)(601, 1279)(602, 1283)(603, 1155)(604, 1157)(605, 1284)(606, 1185)(607, 1187)(608, 1169)(609, 1280)(610, 1176)(611, 1286)(612, 1179)(613, 1183)(614, 1193)(615, 1287)(616, 1224)(617, 1228)(618, 1203)(619, 1214)(620, 1288)(621, 1207)(622, 1289)(623, 1290)(624, 1241)(625, 1213)(626, 1258)(627, 1217)(628, 1240)(629, 1223)(630, 1251)(631, 1291)(632, 1292)(633, 1249)(634, 1256)(635, 1261)(636, 1262)(637, 1257)(638, 1260)(639, 1276)(640, 1264)(641, 1266)(642, 1269)(643, 1295)(644, 1296)(645, 1281)(646, 1285)(647, 1293)(648, 1294)
	local type(s) :: { ( 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.3320
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 324 e = 648 f = 270
	degree seq :: [ 4^324 ]

E28.3325 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = $<648, 545>$ (small group id <648, 545>)
Aut   = $<1296, 2909>$ (small group id <1296, 2909>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, Y2^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y2)^6, (Y3 * Y2^-1)^6, Y2 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2 * Y1 * Y2^-1 * Y1, Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-1, Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2 * Y1 * Y2^-2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 ]
Map::
	R = (1, 649, 2, 650)(3, 651, 7, 655)(4, 652, 9, 657)(5, 653, 10, 658)(6, 654, 12, 660)(8, 656, 15, 663)(11, 659, 20, 668)(13, 661, 23, 671)(14, 662, 25, 673)(16, 664, 28, 676)(17, 665, 30, 678)(18, 666, 31, 679)(19, 667, 33, 681)(21, 669, 36, 684)(22, 670, 38, 686)(24, 672, 41, 689)(26, 674, 44, 692)(27, 675, 46, 694)(29, 677, 49, 697)(32, 680, 54, 702)(34, 682, 57, 705)(35, 683, 59, 707)(37, 685, 62, 710)(39, 687, 64, 712)(40, 688, 66, 714)(42, 690, 69, 717)(43, 691, 71, 719)(45, 693, 74, 722)(47, 695, 77, 725)(48, 696, 79, 727)(50, 698, 82, 730)(51, 699, 52, 700)(53, 701, 85, 733)(55, 703, 88, 736)(56, 704, 90, 738)(58, 706, 93, 741)(60, 708, 96, 744)(61, 709, 98, 746)(63, 711, 101, 749)(65, 713, 103, 751)(67, 715, 106, 754)(68, 716, 108, 756)(70, 718, 111, 759)(72, 720, 113, 761)(73, 721, 115, 763)(75, 723, 118, 766)(76, 724, 120, 768)(78, 726, 122, 770)(80, 728, 125, 773)(81, 729, 127, 775)(83, 731, 130, 778)(84, 732, 131, 779)(86, 734, 134, 782)(87, 735, 136, 784)(89, 737, 139, 787)(91, 739, 141, 789)(92, 740, 143, 791)(94, 742, 146, 794)(95, 743, 148, 796)(97, 745, 150, 798)(99, 747, 153, 801)(100, 748, 155, 803)(102, 750, 158, 806)(104, 752, 161, 809)(105, 753, 163, 811)(107, 755, 166, 814)(109, 757, 169, 817)(110, 758, 171, 819)(112, 760, 174, 822)(114, 762, 176, 824)(116, 764, 179, 827)(117, 765, 181, 829)(119, 767, 184, 832)(121, 769, 186, 834)(123, 771, 189, 837)(124, 772, 191, 839)(126, 774, 194, 842)(128, 776, 197, 845)(129, 777, 199, 847)(132, 780, 204, 852)(133, 781, 206, 854)(135, 783, 209, 857)(137, 785, 212, 860)(138, 786, 214, 862)(140, 788, 217, 865)(142, 790, 219, 867)(144, 792, 222, 870)(145, 793, 224, 872)(147, 795, 227, 875)(149, 797, 229, 877)(151, 799, 232, 880)(152, 800, 234, 882)(154, 802, 237, 885)(156, 804, 240, 888)(157, 805, 242, 890)(159, 807, 245, 893)(160, 808, 247, 895)(162, 810, 250, 898)(164, 812, 252, 900)(165, 813, 254, 902)(167, 815, 215, 863)(168, 816, 258, 906)(170, 818, 220, 868)(172, 820, 210, 858)(173, 821, 263, 911)(175, 823, 266, 914)(177, 825, 213, 861)(178, 826, 270, 918)(180, 828, 223, 871)(182, 830, 275, 923)(183, 831, 233, 881)(185, 833, 279, 927)(187, 835, 282, 930)(188, 836, 236, 884)(190, 838, 226, 874)(192, 840, 285, 933)(193, 841, 231, 879)(195, 843, 287, 935)(196, 844, 289, 937)(198, 846, 291, 939)(200, 848, 292, 940)(201, 849, 294, 942)(202, 850, 295, 943)(203, 851, 297, 945)(205, 853, 300, 948)(207, 855, 302, 950)(208, 856, 304, 952)(211, 859, 308, 956)(216, 864, 313, 961)(218, 866, 316, 964)(221, 869, 320, 968)(225, 873, 325, 973)(228, 876, 329, 977)(230, 878, 332, 980)(235, 883, 335, 983)(238, 886, 337, 985)(239, 887, 339, 987)(241, 889, 341, 989)(243, 891, 342, 990)(244, 892, 344, 992)(246, 894, 347, 995)(248, 896, 350, 998)(249, 897, 351, 999)(251, 899, 354, 1002)(253, 901, 356, 1004)(255, 903, 359, 1007)(256, 904, 360, 1008)(257, 905, 361, 1009)(259, 907, 363, 1011)(260, 908, 364, 1012)(261, 909, 365, 1013)(262, 910, 366, 1014)(264, 912, 369, 1017)(265, 913, 371, 1019)(267, 915, 374, 1022)(268, 916, 376, 1024)(269, 917, 377, 1025)(271, 919, 379, 1027)(272, 920, 381, 1029)(273, 921, 352, 1000)(274, 922, 383, 1031)(276, 924, 357, 1005)(277, 925, 348, 996)(278, 926, 386, 1034)(280, 928, 389, 1037)(281, 929, 391, 1039)(283, 931, 394, 1042)(284, 932, 395, 1043)(286, 934, 397, 1045)(288, 936, 399, 1047)(290, 938, 401, 1049)(293, 941, 404, 1052)(296, 944, 409, 1057)(298, 946, 412, 1060)(299, 947, 413, 1061)(301, 949, 416, 1064)(303, 951, 418, 1066)(305, 953, 421, 1069)(306, 954, 422, 1070)(307, 955, 423, 1071)(309, 957, 425, 1073)(310, 958, 426, 1074)(311, 959, 427, 1075)(312, 960, 428, 1076)(314, 962, 431, 1079)(315, 963, 433, 1081)(317, 965, 436, 1084)(318, 966, 438, 1086)(319, 967, 439, 1087)(321, 969, 441, 1089)(322, 970, 443, 1091)(323, 971, 414, 1062)(324, 972, 445, 1093)(326, 974, 419, 1067)(327, 975, 410, 1058)(328, 976, 448, 1096)(330, 978, 451, 1099)(331, 979, 453, 1101)(333, 981, 456, 1104)(334, 982, 457, 1105)(336, 984, 459, 1107)(338, 986, 461, 1109)(340, 988, 463, 1111)(343, 991, 466, 1114)(345, 993, 468, 1116)(346, 994, 430, 1078)(349, 997, 411, 1059)(353, 1001, 473, 1121)(355, 1003, 435, 1083)(358, 1006, 477, 1125)(362, 1010, 450, 1098)(367, 1015, 484, 1132)(368, 1016, 408, 1056)(370, 1018, 486, 1134)(372, 1020, 458, 1106)(373, 1021, 417, 1065)(375, 1023, 489, 1137)(378, 1026, 491, 1139)(380, 1028, 493, 1141)(382, 1030, 495, 1143)(384, 1032, 497, 1145)(385, 1033, 498, 1146)(387, 1035, 462, 1110)(388, 1036, 424, 1072)(390, 1038, 501, 1149)(392, 1040, 467, 1115)(393, 1041, 503, 1151)(396, 1044, 434, 1082)(398, 1046, 507, 1155)(400, 1048, 449, 1097)(402, 1050, 510, 1158)(403, 1051, 465, 1113)(405, 1053, 454, 1102)(406, 1054, 407, 1055)(415, 1063, 515, 1163)(420, 1068, 519, 1167)(429, 1077, 526, 1174)(432, 1080, 528, 1176)(437, 1085, 531, 1179)(440, 1088, 533, 1181)(442, 1090, 535, 1183)(444, 1092, 537, 1185)(446, 1094, 539, 1187)(447, 1095, 540, 1188)(452, 1100, 543, 1191)(455, 1103, 545, 1193)(460, 1108, 549, 1197)(464, 1112, 552, 1200)(469, 1117, 553, 1201)(470, 1118, 523, 1171)(471, 1119, 554, 1202)(472, 1120, 536, 1184)(474, 1122, 516, 1164)(475, 1123, 557, 1205)(476, 1124, 558, 1206)(478, 1126, 560, 1208)(479, 1127, 562, 1210)(480, 1128, 547, 1195)(481, 1129, 512, 1160)(482, 1130, 564, 1212)(483, 1131, 565, 1213)(485, 1133, 567, 1215)(487, 1135, 534, 1182)(488, 1136, 556, 1204)(490, 1138, 571, 1219)(492, 1140, 529, 1177)(494, 1142, 514, 1162)(496, 1144, 542, 1190)(499, 1147, 575, 1223)(500, 1148, 538, 1186)(502, 1150, 572, 1220)(504, 1152, 577, 1225)(505, 1153, 522, 1170)(506, 1154, 573, 1221)(508, 1156, 574, 1222)(509, 1157, 551, 1199)(511, 1159, 579, 1227)(513, 1161, 580, 1228)(517, 1165, 583, 1231)(518, 1166, 584, 1232)(520, 1168, 586, 1234)(521, 1169, 588, 1236)(524, 1172, 590, 1238)(525, 1173, 591, 1239)(527, 1175, 593, 1241)(530, 1178, 582, 1230)(532, 1180, 597, 1245)(541, 1189, 601, 1249)(544, 1192, 598, 1246)(546, 1194, 603, 1251)(548, 1196, 599, 1247)(550, 1198, 600, 1248)(555, 1203, 592, 1240)(559, 1207, 594, 1242)(561, 1209, 611, 1259)(563, 1211, 596, 1244)(566, 1214, 581, 1229)(568, 1216, 585, 1233)(569, 1217, 614, 1262)(570, 1218, 589, 1237)(576, 1224, 604, 1252)(578, 1226, 602, 1250)(587, 1235, 625, 1273)(595, 1243, 628, 1276)(605, 1253, 627, 1275)(606, 1254, 622, 1270)(607, 1255, 634, 1282)(608, 1256, 620, 1268)(609, 1257, 632, 1280)(610, 1258, 629, 1277)(612, 1260, 635, 1283)(613, 1261, 619, 1267)(615, 1263, 624, 1272)(616, 1264, 631, 1279)(617, 1265, 630, 1278)(618, 1266, 623, 1271)(621, 1269, 640, 1288)(626, 1274, 641, 1289)(633, 1281, 642, 1290)(636, 1284, 639, 1287)(637, 1285, 644, 1292)(638, 1286, 643, 1291)(645, 1293, 648, 1296)(646, 1294, 647, 1295)(1297, 1945, 1299, 1947, 1304, 1952, 1300, 1948)(1298, 1946, 1301, 1949, 1307, 1955, 1302, 1950)(1303, 1951, 1309, 1957, 1320, 1968, 1310, 1958)(1305, 1953, 1312, 1960, 1325, 1973, 1313, 1961)(1306, 1954, 1314, 1962, 1328, 1976, 1315, 1963)(1308, 1956, 1317, 1965, 1333, 1981, 1318, 1966)(1311, 1959, 1322, 1970, 1341, 1989, 1323, 1971)(1316, 1964, 1330, 1978, 1354, 2002, 1331, 1979)(1319, 1967, 1335, 1983, 1361, 2009, 1336, 1984)(1321, 1969, 1338, 1986, 1366, 2014, 1339, 1987)(1324, 1972, 1343, 1991, 1374, 2022, 1344, 1992)(1326, 1974, 1346, 1994, 1379, 2027, 1347, 1995)(1327, 1975, 1348, 1996, 1380, 2028, 1349, 1997)(1329, 1977, 1351, 1999, 1385, 2033, 1352, 2000)(1332, 1980, 1356, 2004, 1393, 2041, 1357, 2005)(1334, 1982, 1359, 2007, 1398, 2046, 1360, 2008)(1337, 1985, 1363, 2011, 1403, 2051, 1364, 2012)(1340, 1988, 1368, 2016, 1410, 2058, 1369, 2017)(1342, 1990, 1371, 2019, 1415, 2063, 1372, 2020)(1345, 1993, 1376, 2024, 1422, 2070, 1377, 2025)(1350, 1998, 1382, 2030, 1431, 2079, 1383, 2031)(1353, 2001, 1387, 2035, 1438, 2086, 1388, 2036)(1355, 2003, 1390, 2038, 1443, 2091, 1391, 2039)(1358, 2006, 1395, 2043, 1450, 2098, 1396, 2044)(1362, 2010, 1400, 2048, 1458, 2106, 1401, 2049)(1365, 2013, 1405, 2053, 1466, 2114, 1406, 2054)(1367, 2015, 1408, 2056, 1471, 2119, 1409, 2057)(1370, 2018, 1412, 2060, 1476, 2124, 1413, 2061)(1373, 2021, 1416, 2064, 1481, 2129, 1417, 2065)(1375, 2023, 1419, 2067, 1486, 2134, 1420, 2068)(1378, 2026, 1424, 2072, 1494, 2142, 1425, 2073)(1381, 2029, 1428, 2076, 1501, 2149, 1429, 2077)(1384, 2032, 1433, 2081, 1509, 2157, 1434, 2082)(1386, 2034, 1436, 2084, 1514, 2162, 1437, 2085)(1389, 2037, 1440, 2088, 1519, 2167, 1441, 2089)(1392, 2040, 1444, 2092, 1524, 2172, 1445, 2093)(1394, 2042, 1447, 2095, 1529, 2177, 1448, 2096)(1397, 2045, 1452, 2100, 1537, 2185, 1453, 2101)(1399, 2047, 1455, 2103, 1542, 2190, 1456, 2104)(1402, 2050, 1460, 2108, 1549, 2197, 1461, 2109)(1404, 2052, 1463, 2111, 1553, 2201, 1464, 2112)(1407, 2055, 1468, 2116, 1558, 2206, 1469, 2117)(1411, 2059, 1473, 2121, 1565, 2213, 1474, 2122)(1414, 2062, 1478, 2126, 1572, 2220, 1479, 2127)(1418, 2066, 1483, 2131, 1579, 2227, 1484, 2132)(1421, 2069, 1488, 2136, 1582, 2230, 1489, 2137)(1423, 2071, 1491, 2139, 1584, 2232, 1492, 2140)(1426, 2074, 1496, 2144, 1589, 2237, 1497, 2145)(1427, 2075, 1498, 2146, 1592, 2240, 1499, 2147)(1430, 2078, 1503, 2151, 1599, 2247, 1504, 2152)(1432, 2080, 1506, 2154, 1603, 2251, 1507, 2155)(1435, 2083, 1511, 2159, 1608, 2256, 1512, 2160)(1439, 2087, 1516, 2164, 1615, 2263, 1517, 2165)(1442, 2090, 1521, 2169, 1622, 2270, 1522, 2170)(1446, 2094, 1526, 2174, 1629, 2277, 1527, 2175)(1449, 2097, 1531, 2179, 1632, 2280, 1532, 2180)(1451, 2099, 1534, 2182, 1634, 2282, 1535, 2183)(1454, 2102, 1539, 2187, 1639, 2287, 1540, 2188)(1457, 2105, 1544, 2192, 1485, 2133, 1545, 2193)(1459, 2107, 1547, 2195, 1651, 2299, 1548, 2196)(1462, 2110, 1551, 2199, 1490, 2138, 1552, 2200)(1465, 2113, 1554, 2202, 1658, 2306, 1555, 2203)(1467, 2115, 1556, 2204, 1495, 2143, 1557, 2205)(1470, 2118, 1560, 2208, 1666, 2314, 1561, 2209)(1472, 2120, 1563, 2211, 1671, 2319, 1564, 2212)(1475, 2123, 1567, 2215, 1676, 2324, 1568, 2216)(1477, 2125, 1569, 2217, 1678, 2326, 1570, 2218)(1480, 2128, 1573, 2221, 1681, 2329, 1574, 2222)(1482, 2130, 1576, 2224, 1686, 2334, 1577, 2225)(1487, 2135, 1580, 2228, 1692, 2340, 1581, 2229)(1493, 2141, 1585, 2233, 1696, 2344, 1586, 2234)(1500, 2148, 1594, 2242, 1528, 2176, 1595, 2243)(1502, 2150, 1597, 2245, 1713, 2361, 1598, 2246)(1505, 2153, 1601, 2249, 1533, 2181, 1602, 2250)(1508, 2156, 1604, 2252, 1720, 2368, 1605, 2253)(1510, 2158, 1606, 2254, 1538, 2186, 1607, 2255)(1513, 2161, 1610, 2258, 1728, 2376, 1611, 2259)(1515, 2163, 1613, 2261, 1733, 2381, 1614, 2262)(1518, 2166, 1617, 2265, 1738, 2386, 1618, 2266)(1520, 2168, 1619, 2267, 1740, 2388, 1620, 2268)(1523, 2171, 1623, 2271, 1743, 2391, 1624, 2272)(1525, 2173, 1626, 2274, 1748, 2396, 1627, 2275)(1530, 2178, 1630, 2278, 1754, 2402, 1631, 2279)(1536, 2184, 1635, 2283, 1758, 2406, 1636, 2284)(1541, 2189, 1641, 2289, 1727, 2375, 1642, 2290)(1543, 2191, 1644, 2292, 1708, 2356, 1645, 2293)(1546, 2194, 1648, 2296, 1768, 2416, 1649, 2297)(1550, 2198, 1653, 2301, 1772, 2420, 1654, 2302)(1559, 2207, 1663, 2311, 1781, 2429, 1664, 2312)(1562, 2210, 1668, 2316, 1783, 2431, 1669, 2317)(1566, 2214, 1674, 2322, 1788, 2436, 1675, 2323)(1571, 2219, 1679, 2327, 1792, 2440, 1680, 2328)(1575, 2223, 1683, 2331, 1796, 2444, 1684, 2332)(1578, 2226, 1688, 2336, 1798, 2446, 1689, 2337)(1583, 2231, 1694, 2342, 1786, 2434, 1673, 2321)(1587, 2235, 1698, 2346, 1790, 2438, 1677, 2325)(1588, 2236, 1699, 2347, 1722, 2370, 1672, 2320)(1590, 2238, 1701, 2349, 1749, 2397, 1702, 2350)(1591, 2239, 1703, 2351, 1665, 2313, 1704, 2352)(1593, 2241, 1706, 2354, 1646, 2294, 1707, 2355)(1596, 2244, 1710, 2358, 1810, 2458, 1711, 2359)(1600, 2248, 1715, 2363, 1814, 2462, 1716, 2364)(1609, 2257, 1725, 2373, 1823, 2471, 1726, 2374)(1612, 2260, 1730, 2378, 1825, 2473, 1731, 2379)(1616, 2264, 1736, 2384, 1830, 2478, 1737, 2385)(1621, 2269, 1741, 2389, 1834, 2482, 1742, 2390)(1625, 2273, 1745, 2393, 1838, 2486, 1746, 2394)(1628, 2276, 1750, 2398, 1840, 2488, 1751, 2399)(1633, 2281, 1756, 2404, 1828, 2476, 1735, 2383)(1637, 2285, 1760, 2408, 1832, 2480, 1739, 2387)(1638, 2286, 1761, 2409, 1660, 2308, 1734, 2382)(1640, 2288, 1763, 2411, 1687, 2335, 1764, 2412)(1643, 2291, 1765, 2413, 1662, 2310, 1766, 2414)(1647, 2295, 1755, 2403, 1667, 2315, 1767, 2415)(1650, 2298, 1770, 2418, 1826, 2474, 1732, 2380)(1652, 2300, 1771, 2419, 1844, 2492, 1753, 2401)(1655, 2303, 1774, 2422, 1857, 2505, 1775, 2423)(1656, 2304, 1776, 2424, 1859, 2507, 1777, 2425)(1657, 2305, 1723, 2371, 1821, 2469, 1747, 2395)(1659, 2307, 1778, 2426, 1846, 2494, 1757, 2405)(1661, 2309, 1779, 2427, 1685, 2333, 1719, 2367)(1670, 2318, 1712, 2360, 1812, 2460, 1784, 2432)(1682, 2330, 1795, 2443, 1847, 2495, 1759, 2407)(1690, 2338, 1800, 2448, 1700, 2348, 1801, 2449)(1691, 2339, 1714, 2362, 1813, 2461, 1802, 2450)(1693, 2341, 1729, 2377, 1809, 2457, 1709, 2357)(1695, 2343, 1721, 2369, 1820, 2468, 1804, 2452)(1697, 2345, 1744, 2392, 1837, 2485, 1805, 2453)(1705, 2353, 1807, 2455, 1724, 2372, 1808, 2456)(1717, 2365, 1816, 2464, 1883, 2531, 1817, 2465)(1718, 2366, 1818, 2466, 1885, 2533, 1819, 2467)(1752, 2400, 1842, 2490, 1762, 2410, 1843, 2491)(1769, 2417, 1851, 2499, 1904, 2552, 1852, 2500)(1773, 2421, 1855, 2503, 1797, 2445, 1856, 2504)(1780, 2428, 1862, 2510, 1906, 2554, 1854, 2502)(1782, 2430, 1864, 2512, 1803, 2451, 1858, 2506)(1785, 2433, 1865, 2513, 1794, 2442, 1866, 2514)(1787, 2435, 1868, 2516, 1905, 2553, 1853, 2501)(1789, 2437, 1869, 2517, 1908, 2556, 1861, 2509)(1791, 2439, 1850, 2498, 1903, 2551, 1860, 2508)(1793, 2441, 1870, 2518, 1909, 2557, 1863, 2511)(1799, 2447, 1867, 2515, 1911, 2559, 1872, 2520)(1806, 2454, 1871, 2519, 1912, 2560, 1874, 2522)(1811, 2459, 1877, 2525, 1918, 2566, 1878, 2526)(1815, 2463, 1881, 2529, 1839, 2487, 1882, 2530)(1822, 2470, 1888, 2536, 1920, 2568, 1880, 2528)(1824, 2472, 1890, 2538, 1845, 2493, 1884, 2532)(1827, 2475, 1891, 2539, 1836, 2484, 1892, 2540)(1829, 2477, 1894, 2542, 1919, 2567, 1879, 2527)(1831, 2479, 1895, 2543, 1922, 2570, 1887, 2535)(1833, 2481, 1876, 2524, 1917, 2565, 1886, 2534)(1835, 2483, 1896, 2544, 1923, 2571, 1889, 2537)(1841, 2489, 1893, 2541, 1925, 2573, 1898, 2546)(1848, 2496, 1897, 2545, 1926, 2574, 1900, 2548)(1849, 2497, 1901, 2549, 1929, 2577, 1902, 2550)(1873, 2521, 1913, 2561, 1934, 2582, 1914, 2562)(1875, 2523, 1915, 2563, 1935, 2583, 1916, 2564)(1899, 2547, 1927, 2575, 1940, 2588, 1928, 2576)(1907, 2555, 1931, 2579, 1941, 2589, 1930, 2578)(1910, 2558, 1932, 2580, 1942, 2590, 1933, 2581)(1921, 2569, 1937, 2585, 1943, 2591, 1936, 2584)(1924, 2572, 1938, 2586, 1944, 2592, 1939, 2587)
	L = (1, 1298)(2, 1297)(3, 1303)(4, 1305)(5, 1306)(6, 1308)(7, 1299)(8, 1311)(9, 1300)(10, 1301)(11, 1316)(12, 1302)(13, 1319)(14, 1321)(15, 1304)(16, 1324)(17, 1326)(18, 1327)(19, 1329)(20, 1307)(21, 1332)(22, 1334)(23, 1309)(24, 1337)(25, 1310)(26, 1340)(27, 1342)(28, 1312)(29, 1345)(30, 1313)(31, 1314)(32, 1350)(33, 1315)(34, 1353)(35, 1355)(36, 1317)(37, 1358)(38, 1318)(39, 1360)(40, 1362)(41, 1320)(42, 1365)(43, 1367)(44, 1322)(45, 1370)(46, 1323)(47, 1373)(48, 1375)(49, 1325)(50, 1378)(51, 1348)(52, 1347)(53, 1381)(54, 1328)(55, 1384)(56, 1386)(57, 1330)(58, 1389)(59, 1331)(60, 1392)(61, 1394)(62, 1333)(63, 1397)(64, 1335)(65, 1399)(66, 1336)(67, 1402)(68, 1404)(69, 1338)(70, 1407)(71, 1339)(72, 1409)(73, 1411)(74, 1341)(75, 1414)(76, 1416)(77, 1343)(78, 1418)(79, 1344)(80, 1421)(81, 1423)(82, 1346)(83, 1426)(84, 1427)(85, 1349)(86, 1430)(87, 1432)(88, 1351)(89, 1435)(90, 1352)(91, 1437)(92, 1439)(93, 1354)(94, 1442)(95, 1444)(96, 1356)(97, 1446)(98, 1357)(99, 1449)(100, 1451)(101, 1359)(102, 1454)(103, 1361)(104, 1457)(105, 1459)(106, 1363)(107, 1462)(108, 1364)(109, 1465)(110, 1467)(111, 1366)(112, 1470)(113, 1368)(114, 1472)(115, 1369)(116, 1475)(117, 1477)(118, 1371)(119, 1480)(120, 1372)(121, 1482)(122, 1374)(123, 1485)(124, 1487)(125, 1376)(126, 1490)(127, 1377)(128, 1493)(129, 1495)(130, 1379)(131, 1380)(132, 1500)(133, 1502)(134, 1382)(135, 1505)(136, 1383)(137, 1508)(138, 1510)(139, 1385)(140, 1513)(141, 1387)(142, 1515)(143, 1388)(144, 1518)(145, 1520)(146, 1390)(147, 1523)(148, 1391)(149, 1525)(150, 1393)(151, 1528)(152, 1530)(153, 1395)(154, 1533)(155, 1396)(156, 1536)(157, 1538)(158, 1398)(159, 1541)(160, 1543)(161, 1400)(162, 1546)(163, 1401)(164, 1548)(165, 1550)(166, 1403)(167, 1511)(168, 1554)(169, 1405)(170, 1516)(171, 1406)(172, 1506)(173, 1559)(174, 1408)(175, 1562)(176, 1410)(177, 1509)(178, 1566)(179, 1412)(180, 1519)(181, 1413)(182, 1571)(183, 1529)(184, 1415)(185, 1575)(186, 1417)(187, 1578)(188, 1532)(189, 1419)(190, 1522)(191, 1420)(192, 1581)(193, 1527)(194, 1422)(195, 1583)(196, 1585)(197, 1424)(198, 1587)(199, 1425)(200, 1588)(201, 1590)(202, 1591)(203, 1593)(204, 1428)(205, 1596)(206, 1429)(207, 1598)(208, 1600)(209, 1431)(210, 1468)(211, 1604)(212, 1433)(213, 1473)(214, 1434)(215, 1463)(216, 1609)(217, 1436)(218, 1612)(219, 1438)(220, 1466)(221, 1616)(222, 1440)(223, 1476)(224, 1441)(225, 1621)(226, 1486)(227, 1443)(228, 1625)(229, 1445)(230, 1628)(231, 1489)(232, 1447)(233, 1479)(234, 1448)(235, 1631)(236, 1484)(237, 1450)(238, 1633)(239, 1635)(240, 1452)(241, 1637)(242, 1453)(243, 1638)(244, 1640)(245, 1455)(246, 1643)(247, 1456)(248, 1646)(249, 1647)(250, 1458)(251, 1650)(252, 1460)(253, 1652)(254, 1461)(255, 1655)(256, 1656)(257, 1657)(258, 1464)(259, 1659)(260, 1660)(261, 1661)(262, 1662)(263, 1469)(264, 1665)(265, 1667)(266, 1471)(267, 1670)(268, 1672)(269, 1673)(270, 1474)(271, 1675)(272, 1677)(273, 1648)(274, 1679)(275, 1478)(276, 1653)(277, 1644)(278, 1682)(279, 1481)(280, 1685)(281, 1687)(282, 1483)(283, 1690)(284, 1691)(285, 1488)(286, 1693)(287, 1491)(288, 1695)(289, 1492)(290, 1697)(291, 1494)(292, 1496)(293, 1700)(294, 1497)(295, 1498)(296, 1705)(297, 1499)(298, 1708)(299, 1709)(300, 1501)(301, 1712)(302, 1503)(303, 1714)(304, 1504)(305, 1717)(306, 1718)(307, 1719)(308, 1507)(309, 1721)(310, 1722)(311, 1723)(312, 1724)(313, 1512)(314, 1727)(315, 1729)(316, 1514)(317, 1732)(318, 1734)(319, 1735)(320, 1517)(321, 1737)(322, 1739)(323, 1710)(324, 1741)(325, 1521)(326, 1715)(327, 1706)(328, 1744)(329, 1524)(330, 1747)(331, 1749)(332, 1526)(333, 1752)(334, 1753)(335, 1531)(336, 1755)(337, 1534)(338, 1757)(339, 1535)(340, 1759)(341, 1537)(342, 1539)(343, 1762)(344, 1540)(345, 1764)(346, 1726)(347, 1542)(348, 1573)(349, 1707)(350, 1544)(351, 1545)(352, 1569)(353, 1769)(354, 1547)(355, 1731)(356, 1549)(357, 1572)(358, 1773)(359, 1551)(360, 1552)(361, 1553)(362, 1746)(363, 1555)(364, 1556)(365, 1557)(366, 1558)(367, 1780)(368, 1704)(369, 1560)(370, 1782)(371, 1561)(372, 1754)(373, 1713)(374, 1563)(375, 1785)(376, 1564)(377, 1565)(378, 1787)(379, 1567)(380, 1789)(381, 1568)(382, 1791)(383, 1570)(384, 1793)(385, 1794)(386, 1574)(387, 1758)(388, 1720)(389, 1576)(390, 1797)(391, 1577)(392, 1763)(393, 1799)(394, 1579)(395, 1580)(396, 1730)(397, 1582)(398, 1803)(399, 1584)(400, 1745)(401, 1586)(402, 1806)(403, 1761)(404, 1589)(405, 1750)(406, 1703)(407, 1702)(408, 1664)(409, 1592)(410, 1623)(411, 1645)(412, 1594)(413, 1595)(414, 1619)(415, 1811)(416, 1597)(417, 1669)(418, 1599)(419, 1622)(420, 1815)(421, 1601)(422, 1602)(423, 1603)(424, 1684)(425, 1605)(426, 1606)(427, 1607)(428, 1608)(429, 1822)(430, 1642)(431, 1610)(432, 1824)(433, 1611)(434, 1692)(435, 1651)(436, 1613)(437, 1827)(438, 1614)(439, 1615)(440, 1829)(441, 1617)(442, 1831)(443, 1618)(444, 1833)(445, 1620)(446, 1835)(447, 1836)(448, 1624)(449, 1696)(450, 1658)(451, 1626)(452, 1839)(453, 1627)(454, 1701)(455, 1841)(456, 1629)(457, 1630)(458, 1668)(459, 1632)(460, 1845)(461, 1634)(462, 1683)(463, 1636)(464, 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1943)(647, 1942)(648, 1941)(649, 1945)(650, 1946)(651, 1947)(652, 1948)(653, 1949)(654, 1950)(655, 1951)(656, 1952)(657, 1953)(658, 1954)(659, 1955)(660, 1956)(661, 1957)(662, 1958)(663, 1959)(664, 1960)(665, 1961)(666, 1962)(667, 1963)(668, 1964)(669, 1965)(670, 1966)(671, 1967)(672, 1968)(673, 1969)(674, 1970)(675, 1971)(676, 1972)(677, 1973)(678, 1974)(679, 1975)(680, 1976)(681, 1977)(682, 1978)(683, 1979)(684, 1980)(685, 1981)(686, 1982)(687, 1983)(688, 1984)(689, 1985)(690, 1986)(691, 1987)(692, 1988)(693, 1989)(694, 1990)(695, 1991)(696, 1992)(697, 1993)(698, 1994)(699, 1995)(700, 1996)(701, 1997)(702, 1998)(703, 1999)(704, 2000)(705, 2001)(706, 2002)(707, 2003)(708, 2004)(709, 2005)(710, 2006)(711, 2007)(712, 2008)(713, 2009)(714, 2010)(715, 2011)(716, 2012)(717, 2013)(718, 2014)(719, 2015)(720, 2016)(721, 2017)(722, 2018)(723, 2019)(724, 2020)(725, 2021)(726, 2022)(727, 2023)(728, 2024)(729, 2025)(730, 2026)(731, 2027)(732, 2028)(733, 2029)(734, 2030)(735, 2031)(736, 2032)(737, 2033)(738, 2034)(739, 2035)(740, 2036)(741, 2037)(742, 2038)(743, 2039)(744, 2040)(745, 2041)(746, 2042)(747, 2043)(748, 2044)(749, 2045)(750, 2046)(751, 2047)(752, 2048)(753, 2049)(754, 2050)(755, 2051)(756, 2052)(757, 2053)(758, 2054)(759, 2055)(760, 2056)(761, 2057)(762, 2058)(763, 2059)(764, 2060)(765, 2061)(766, 2062)(767, 2063)(768, 2064)(769, 2065)(770, 2066)(771, 2067)(772, 2068)(773, 2069)(774, 2070)(775, 2071)(776, 2072)(777, 2073)(778, 2074)(779, 2075)(780, 2076)(781, 2077)(782, 2078)(783, 2079)(784, 2080)(785, 2081)(786, 2082)(787, 2083)(788, 2084)(789, 2085)(790, 2086)(791, 2087)(792, 2088)(793, 2089)(794, 2090)(795, 2091)(796, 2092)(797, 2093)(798, 2094)(799, 2095)(800, 2096)(801, 2097)(802, 2098)(803, 2099)(804, 2100)(805, 2101)(806, 2102)(807, 2103)(808, 2104)(809, 2105)(810, 2106)(811, 2107)(812, 2108)(813, 2109)(814, 2110)(815, 2111)(816, 2112)(817, 2113)(818, 2114)(819, 2115)(820, 2116)(821, 2117)(822, 2118)(823, 2119)(824, 2120)(825, 2121)(826, 2122)(827, 2123)(828, 2124)(829, 2125)(830, 2126)(831, 2127)(832, 2128)(833, 2129)(834, 2130)(835, 2131)(836, 2132)(837, 2133)(838, 2134)(839, 2135)(840, 2136)(841, 2137)(842, 2138)(843, 2139)(844, 2140)(845, 2141)(846, 2142)(847, 2143)(848, 2144)(849, 2145)(850, 2146)(851, 2147)(852, 2148)(853, 2149)(854, 2150)(855, 2151)(856, 2152)(857, 2153)(858, 2154)(859, 2155)(860, 2156)(861, 2157)(862, 2158)(863, 2159)(864, 2160)(865, 2161)(866, 2162)(867, 2163)(868, 2164)(869, 2165)(870, 2166)(871, 2167)(872, 2168)(873, 2169)(874, 2170)(875, 2171)(876, 2172)(877, 2173)(878, 2174)(879, 2175)(880, 2176)(881, 2177)(882, 2178)(883, 2179)(884, 2180)(885, 2181)(886, 2182)(887, 2183)(888, 2184)(889, 2185)(890, 2186)(891, 2187)(892, 2188)(893, 2189)(894, 2190)(895, 2191)(896, 2192)(897, 2193)(898, 2194)(899, 2195)(900, 2196)(901, 2197)(902, 2198)(903, 2199)(904, 2200)(905, 2201)(906, 2202)(907, 2203)(908, 2204)(909, 2205)(910, 2206)(911, 2207)(912, 2208)(913, 2209)(914, 2210)(915, 2211)(916, 2212)(917, 2213)(918, 2214)(919, 2215)(920, 2216)(921, 2217)(922, 2218)(923, 2219)(924, 2220)(925, 2221)(926, 2222)(927, 2223)(928, 2224)(929, 2225)(930, 2226)(931, 2227)(932, 2228)(933, 2229)(934, 2230)(935, 2231)(936, 2232)(937, 2233)(938, 2234)(939, 2235)(940, 2236)(941, 2237)(942, 2238)(943, 2239)(944, 2240)(945, 2241)(946, 2242)(947, 2243)(948, 2244)(949, 2245)(950, 2246)(951, 2247)(952, 2248)(953, 2249)(954, 2250)(955, 2251)(956, 2252)(957, 2253)(958, 2254)(959, 2255)(960, 2256)(961, 2257)(962, 2258)(963, 2259)(964, 2260)(965, 2261)(966, 2262)(967, 2263)(968, 2264)(969, 2265)(970, 2266)(971, 2267)(972, 2268)(973, 2269)(974, 2270)(975, 2271)(976, 2272)(977, 2273)(978, 2274)(979, 2275)(980, 2276)(981, 2277)(982, 2278)(983, 2279)(984, 2280)(985, 2281)(986, 2282)(987, 2283)(988, 2284)(989, 2285)(990, 2286)(991, 2287)(992, 2288)(993, 2289)(994, 2290)(995, 2291)(996, 2292)(997, 2293)(998, 2294)(999, 2295)(1000, 2296)(1001, 2297)(1002, 2298)(1003, 2299)(1004, 2300)(1005, 2301)(1006, 2302)(1007, 2303)(1008, 2304)(1009, 2305)(1010, 2306)(1011, 2307)(1012, 2308)(1013, 2309)(1014, 2310)(1015, 2311)(1016, 2312)(1017, 2313)(1018, 2314)(1019, 2315)(1020, 2316)(1021, 2317)(1022, 2318)(1023, 2319)(1024, 2320)(1025, 2321)(1026, 2322)(1027, 2323)(1028, 2324)(1029, 2325)(1030, 2326)(1031, 2327)(1032, 2328)(1033, 2329)(1034, 2330)(1035, 2331)(1036, 2332)(1037, 2333)(1038, 2334)(1039, 2335)(1040, 2336)(1041, 2337)(1042, 2338)(1043, 2339)(1044, 2340)(1045, 2341)(1046, 2342)(1047, 2343)(1048, 2344)(1049, 2345)(1050, 2346)(1051, 2347)(1052, 2348)(1053, 2349)(1054, 2350)(1055, 2351)(1056, 2352)(1057, 2353)(1058, 2354)(1059, 2355)(1060, 2356)(1061, 2357)(1062, 2358)(1063, 2359)(1064, 2360)(1065, 2361)(1066, 2362)(1067, 2363)(1068, 2364)(1069, 2365)(1070, 2366)(1071, 2367)(1072, 2368)(1073, 2369)(1074, 2370)(1075, 2371)(1076, 2372)(1077, 2373)(1078, 2374)(1079, 2375)(1080, 2376)(1081, 2377)(1082, 2378)(1083, 2379)(1084, 2380)(1085, 2381)(1086, 2382)(1087, 2383)(1088, 2384)(1089, 2385)(1090, 2386)(1091, 2387)(1092, 2388)(1093, 2389)(1094, 2390)(1095, 2391)(1096, 2392)(1097, 2393)(1098, 2394)(1099, 2395)(1100, 2396)(1101, 2397)(1102, 2398)(1103, 2399)(1104, 2400)(1105, 2401)(1106, 2402)(1107, 2403)(1108, 2404)(1109, 2405)(1110, 2406)(1111, 2407)(1112, 2408)(1113, 2409)(1114, 2410)(1115, 2411)(1116, 2412)(1117, 2413)(1118, 2414)(1119, 2415)(1120, 2416)(1121, 2417)(1122, 2418)(1123, 2419)(1124, 2420)(1125, 2421)(1126, 2422)(1127, 2423)(1128, 2424)(1129, 2425)(1130, 2426)(1131, 2427)(1132, 2428)(1133, 2429)(1134, 2430)(1135, 2431)(1136, 2432)(1137, 2433)(1138, 2434)(1139, 2435)(1140, 2436)(1141, 2437)(1142, 2438)(1143, 2439)(1144, 2440)(1145, 2441)(1146, 2442)(1147, 2443)(1148, 2444)(1149, 2445)(1150, 2446)(1151, 2447)(1152, 2448)(1153, 2449)(1154, 2450)(1155, 2451)(1156, 2452)(1157, 2453)(1158, 2454)(1159, 2455)(1160, 2456)(1161, 2457)(1162, 2458)(1163, 2459)(1164, 2460)(1165, 2461)(1166, 2462)(1167, 2463)(1168, 2464)(1169, 2465)(1170, 2466)(1171, 2467)(1172, 2468)(1173, 2469)(1174, 2470)(1175, 2471)(1176, 2472)(1177, 2473)(1178, 2474)(1179, 2475)(1180, 2476)(1181, 2477)(1182, 2478)(1183, 2479)(1184, 2480)(1185, 2481)(1186, 2482)(1187, 2483)(1188, 2484)(1189, 2485)(1190, 2486)(1191, 2487)(1192, 2488)(1193, 2489)(1194, 2490)(1195, 2491)(1196, 2492)(1197, 2493)(1198, 2494)(1199, 2495)(1200, 2496)(1201, 2497)(1202, 2498)(1203, 2499)(1204, 2500)(1205, 2501)(1206, 2502)(1207, 2503)(1208, 2504)(1209, 2505)(1210, 2506)(1211, 2507)(1212, 2508)(1213, 2509)(1214, 2510)(1215, 2511)(1216, 2512)(1217, 2513)(1218, 2514)(1219, 2515)(1220, 2516)(1221, 2517)(1222, 2518)(1223, 2519)(1224, 2520)(1225, 2521)(1226, 2522)(1227, 2523)(1228, 2524)(1229, 2525)(1230, 2526)(1231, 2527)(1232, 2528)(1233, 2529)(1234, 2530)(1235, 2531)(1236, 2532)(1237, 2533)(1238, 2534)(1239, 2535)(1240, 2536)(1241, 2537)(1242, 2538)(1243, 2539)(1244, 2540)(1245, 2541)(1246, 2542)(1247, 2543)(1248, 2544)(1249, 2545)(1250, 2546)(1251, 2547)(1252, 2548)(1253, 2549)(1254, 2550)(1255, 2551)(1256, 2552)(1257, 2553)(1258, 2554)(1259, 2555)(1260, 2556)(1261, 2557)(1262, 2558)(1263, 2559)(1264, 2560)(1265, 2561)(1266, 2562)(1267, 2563)(1268, 2564)(1269, 2565)(1270, 2566)(1271, 2567)(1272, 2568)(1273, 2569)(1274, 2570)(1275, 2571)(1276, 2572)(1277, 2573)(1278, 2574)(1279, 2575)(1280, 2576)(1281, 2577)(1282, 2578)(1283, 2579)(1284, 2580)(1285, 2581)(1286, 2582)(1287, 2583)(1288, 2584)(1289, 2585)(1290, 2586)(1291, 2587)(1292, 2588)(1293, 2589)(1294, 2590)(1295, 2591)(1296, 2592)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3328
Graph:: bipartite
	v = 486 e = 1296 f = 756
	degree seq :: [ 4^324, 8^162 ]

E28.3326 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = $<648, 545>$ (small group id <648, 545>)
Aut   = $<1296, 2909>$ (small group id <1296, 2909>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, Y1^4, (Y2^-1 * Y1^-1)^2, (R * Y1)^2, R * Y2 * R * Y3, (Y3^-1 * Y1^-1)^2, Y2^6, (Y2 * Y1^-1)^6, Y2 * Y1^-1 * Y2^-2 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1^-1, Y2 * Y1^-2 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-2 * Y1 * Y2^-1 * Y1^-1, Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^2 * Y1^2 * Y2^-2 * Y1^-2 * Y2^-2 * Y1^-2, Y1^-1 * Y2^-1 * Y1 * Y2^2 * Y1^2 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-2 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1 * Y2^-2 * Y1^-1 * Y2^2 * Y1 * Y2^-1 * Y1^-1 * Y2^2 * Y1^-1 * Y2^2 * Y1^-1, Y2 * Y1^-1 * Y2^2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1^-2 ]
Map::
	R = (1, 649, 2, 650, 6, 654, 4, 652)(3, 651, 9, 657, 21, 669, 11, 659)(5, 653, 13, 661, 18, 666, 7, 655)(8, 656, 19, 667, 33, 681, 15, 663)(10, 658, 23, 671, 47, 695, 25, 673)(12, 660, 16, 664, 34, 682, 28, 676)(14, 662, 31, 679, 58, 706, 29, 677)(17, 665, 36, 684, 69, 717, 38, 686)(20, 668, 42, 690, 77, 725, 40, 688)(22, 670, 45, 693, 82, 730, 43, 691)(24, 672, 49, 697, 92, 740, 50, 698)(26, 674, 44, 692, 83, 731, 53, 701)(27, 675, 54, 702, 100, 748, 55, 703)(30, 678, 59, 707, 75, 723, 39, 687)(32, 680, 62, 710, 114, 762, 64, 712)(35, 683, 68, 716, 122, 770, 66, 714)(37, 685, 71, 719, 130, 778, 72, 720)(41, 689, 78, 726, 120, 768, 65, 713)(46, 694, 87, 735, 155, 803, 85, 733)(48, 696, 90, 738, 160, 808, 88, 736)(51, 699, 89, 737, 161, 809, 96, 744)(52, 700, 97, 745, 175, 823, 98, 746)(56, 704, 67, 715, 123, 771, 104, 752)(57, 705, 105, 753, 188, 836, 107, 755)(60, 708, 111, 759, 196, 844, 109, 757)(61, 709, 112, 760, 194, 842, 108, 756)(63, 711, 116, 764, 206, 854, 117, 765)(70, 718, 128, 776, 224, 872, 126, 774)(73, 721, 127, 775, 225, 873, 134, 782)(74, 722, 135, 783, 239, 887, 136, 784)(76, 724, 138, 786, 243, 891, 140, 788)(79, 727, 144, 792, 251, 899, 142, 790)(80, 728, 145, 793, 249, 897, 141, 789)(81, 729, 147, 795, 257, 905, 149, 797)(84, 732, 153, 801, 265, 913, 151, 799)(86, 734, 156, 804, 263, 911, 150, 798)(91, 739, 165, 813, 285, 933, 163, 811)(93, 741, 168, 816, 290, 938, 166, 814)(94, 742, 167, 815, 291, 939, 171, 819)(95, 743, 172, 820, 299, 947, 173, 821)(99, 747, 152, 800, 213, 861, 143, 791)(101, 749, 181, 829, 311, 959, 179, 827)(102, 750, 180, 828, 312, 960, 184, 832)(103, 751, 185, 833, 320, 968, 186, 834)(106, 754, 190, 838, 328, 976, 191, 839)(110, 758, 187, 835, 219, 867, 137, 785)(113, 761, 201, 849, 344, 992, 199, 847)(115, 763, 204, 852, 348, 996, 202, 850)(118, 766, 203, 851, 349, 997, 210, 858)(119, 767, 211, 859, 363, 1011, 212, 860)(121, 769, 214, 862, 367, 1015, 216, 864)(124, 772, 220, 868, 375, 1023, 218, 866)(125, 773, 221, 869, 373, 1021, 217, 865)(129, 777, 229, 877, 389, 1037, 227, 875)(131, 779, 232, 880, 394, 1042, 230, 878)(132, 780, 231, 879, 395, 1043, 235, 883)(133, 781, 236, 884, 403, 1051, 237, 885)(139, 787, 245, 893, 418, 1066, 246, 894)(146, 794, 256, 904, 434, 1082, 254, 902)(148, 796, 259, 907, 438, 1086, 260, 908)(154, 802, 268, 916, 448, 1096, 270, 918)(157, 805, 274, 922, 454, 1102, 272, 920)(158, 806, 275, 923, 452, 1100, 271, 919)(159, 807, 277, 925, 347, 995, 279, 927)(162, 810, 283, 931, 372, 1020, 281, 929)(164, 812, 286, 934, 374, 1022, 280, 928)(169, 817, 295, 943, 357, 1005, 293, 941)(170, 818, 296, 944, 358, 1006, 297, 945)(174, 822, 282, 930, 442, 1090, 273, 921)(176, 824, 305, 953, 371, 1019, 303, 951)(177, 825, 304, 952, 481, 1129, 308, 956)(178, 826, 252, 900, 430, 1078, 309, 957)(182, 830, 316, 964, 467, 1115, 314, 962)(183, 831, 317, 965, 461, 1109, 318, 966)(189, 837, 326, 974, 368, 1016, 324, 972)(192, 840, 325, 973, 364, 1012, 332, 980)(193, 841, 333, 981, 350, 998, 334, 982)(195, 843, 336, 984, 352, 1000, 338, 986)(197, 845, 340, 988, 497, 1145, 323, 971)(198, 846, 341, 989, 504, 1152, 339, 987)(200, 848, 238, 886, 386, 1034, 335, 983)(205, 853, 353, 1001, 516, 1164, 351, 999)(207, 855, 356, 1004, 520, 1168, 354, 1002)(208, 856, 355, 1003, 521, 1169, 359, 1007)(209, 857, 360, 1008, 525, 1173, 361, 1009)(215, 863, 369, 1017, 535, 1183, 370, 1018)(222, 870, 380, 1028, 546, 1194, 378, 1026)(223, 871, 381, 1029, 310, 958, 383, 1031)(226, 874, 387, 1035, 262, 910, 385, 1033)(228, 876, 390, 1038, 264, 912, 384, 1032)(233, 881, 399, 1047, 276, 924, 397, 1045)(234, 882, 400, 1048, 269, 917, 401, 1049)(240, 888, 409, 1057, 261, 909, 407, 1055)(241, 889, 408, 1056, 566, 1214, 412, 1060)(242, 890, 376, 1024, 542, 1190, 413, 1061)(244, 892, 416, 1064, 258, 906, 414, 1062)(247, 895, 415, 1063, 321, 969, 422, 1070)(248, 896, 423, 1071, 313, 961, 424, 1072)(250, 898, 426, 1074, 315, 963, 428, 1076)(253, 901, 431, 1079, 580, 1228, 429, 1077)(255, 903, 362, 1010, 514, 1162, 425, 1073)(266, 914, 445, 1093, 533, 1181, 366, 1014)(267, 915, 446, 1094, 589, 1237, 444, 1092)(278, 926, 459, 1107, 556, 1204, 396, 1044)(284, 932, 411, 1059, 571, 1219, 462, 1110)(287, 935, 465, 1113, 598, 1246, 463, 1111)(288, 936, 466, 1114, 518, 1166, 392, 1040)(289, 937, 468, 1116, 567, 1215, 417, 1065)(292, 940, 472, 1120, 549, 1197, 470, 1118)(294, 942, 473, 1121, 530, 1178, 469, 1117)(298, 946, 471, 1119, 540, 1188, 464, 1112)(300, 948, 476, 1124, 552, 1200, 391, 1039)(301, 949, 388, 1036, 531, 1179, 479, 1127)(302, 950, 455, 1103, 596, 1244, 480, 1128)(306, 954, 485, 1133, 523, 1171, 483, 1131)(307, 955, 486, 1134, 527, 1175, 487, 1135)(319, 967, 490, 1138, 539, 1187, 379, 1027)(322, 970, 493, 1141, 612, 1260, 496, 1144)(327, 975, 451, 1099, 593, 1241, 482, 1130)(329, 977, 436, 1084, 587, 1235, 447, 1095)(330, 978, 440, 1088, 537, 1185, 420, 1068)(331, 979, 499, 1147, 585, 1233, 433, 1081)(337, 985, 501, 1149, 524, 1172, 502, 1150)(342, 990, 419, 1067, 548, 1196, 506, 1154)(343, 991, 441, 1089, 569, 1217, 509, 1157)(345, 993, 510, 1158, 565, 1213, 406, 1054)(346, 994, 511, 1159, 544, 1192, 439, 1087)(365, 1013, 529, 1177, 624, 1272, 532, 1180)(377, 1025, 543, 1191, 627, 1275, 541, 1189)(382, 1030, 550, 1198, 620, 1268, 522, 1170)(393, 1041, 554, 1202, 498, 1146, 534, 1182)(398, 1046, 558, 1206, 494, 1142, 555, 1203)(402, 1050, 557, 1205, 443, 1091, 553, 1201)(404, 1052, 561, 1209, 503, 1151, 517, 1165)(405, 1053, 515, 1163, 495, 1143, 564, 1212)(410, 1058, 570, 1218, 457, 1105, 568, 1216)(421, 1069, 575, 1223, 631, 1279, 545, 1193)(427, 1075, 577, 1225, 450, 1098, 578, 1226)(432, 1080, 536, 1184, 456, 1104, 582, 1230)(435, 1083, 586, 1234, 623, 1271, 528, 1176)(437, 1085, 519, 1167, 619, 1267, 574, 1222)(449, 1097, 513, 1161, 458, 1106, 592, 1240)(453, 1101, 538, 1186, 484, 1132, 595, 1243)(460, 1108, 576, 1224, 500, 1148, 551, 1199)(474, 1122, 602, 1250, 630, 1278, 601, 1249)(475, 1123, 599, 1247, 622, 1270, 603, 1251)(477, 1125, 606, 1254, 512, 1160, 604, 1252)(478, 1126, 607, 1255, 508, 1156, 608, 1256)(488, 1136, 573, 1221, 628, 1276, 591, 1239)(489, 1137, 581, 1229, 629, 1277, 613, 1261)(491, 1139, 526, 1174, 621, 1269, 579, 1227)(492, 1140, 547, 1195, 632, 1280, 614, 1262)(505, 1153, 583, 1231, 625, 1273, 615, 1263)(507, 1155, 572, 1220, 626, 1274, 590, 1238)(559, 1207, 636, 1284, 594, 1242, 635, 1283)(560, 1208, 634, 1282, 600, 1248, 637, 1285)(562, 1210, 640, 1288, 588, 1236, 638, 1286)(563, 1211, 641, 1289, 584, 1232, 642, 1290)(597, 1245, 633, 1281, 605, 1253, 639, 1287)(609, 1257, 645, 1293, 617, 1265, 648, 1296)(610, 1258, 644, 1292, 616, 1264, 646, 1294)(611, 1259, 643, 1291, 618, 1266, 647, 1295)(1297, 1945, 1299, 1947, 1306, 1954, 1320, 1968, 1310, 1958, 1301, 1949)(1298, 1946, 1303, 1951, 1313, 1961, 1333, 1981, 1316, 1964, 1304, 1952)(1300, 1948, 1308, 1956, 1323, 1971, 1342, 1990, 1318, 1966, 1305, 1953)(1302, 1950, 1311, 1959, 1328, 1976, 1359, 2007, 1331, 1979, 1312, 1960)(1307, 1955, 1322, 1970, 1348, 1996, 1387, 2035, 1344, 1992, 1319, 1967)(1309, 1957, 1325, 1973, 1353, 2001, 1402, 2050, 1356, 2004, 1326, 1974)(1314, 1962, 1335, 1983, 1370, 2018, 1425, 2073, 1366, 2014, 1332, 1980)(1315, 1963, 1336, 1984, 1372, 2020, 1435, 2083, 1375, 2023, 1337, 1985)(1317, 1965, 1339, 1987, 1377, 2025, 1444, 2092, 1380, 2028, 1340, 1988)(1321, 1969, 1347, 1995, 1391, 2039, 1465, 2113, 1389, 2037, 1345, 1993)(1324, 1972, 1352, 2000, 1399, 2047, 1478, 2126, 1397, 2045, 1350, 1998)(1327, 1975, 1346, 1994, 1390, 2038, 1466, 2114, 1409, 2057, 1357, 2005)(1329, 1977, 1361, 2009, 1415, 2063, 1501, 2149, 1411, 2059, 1358, 2006)(1330, 1978, 1362, 2010, 1417, 2065, 1511, 2159, 1420, 2068, 1363, 2011)(1334, 1982, 1369, 2017, 1429, 2077, 1529, 2177, 1427, 2075, 1367, 2015)(1338, 1986, 1368, 2016, 1428, 2076, 1530, 2178, 1442, 2090, 1376, 2024)(1341, 1989, 1381, 2029, 1450, 2098, 1565, 2213, 1453, 2101, 1382, 2030)(1343, 1991, 1384, 2032, 1455, 2103, 1574, 2222, 1458, 2106, 1385, 2033)(1349, 1997, 1395, 2043, 1474, 2122, 1602, 2250, 1472, 2120, 1393, 2041)(1351, 1999, 1398, 2046, 1479, 2127, 1572, 2220, 1454, 2102, 1383, 2031)(1354, 2002, 1404, 2052, 1489, 2137, 1623, 2271, 1485, 2133, 1401, 2049)(1355, 2003, 1405, 2053, 1491, 2139, 1633, 2281, 1493, 2141, 1406, 2054)(1360, 2008, 1414, 2062, 1505, 2153, 1653, 2301, 1503, 2151, 1412, 2060)(1364, 2012, 1413, 2061, 1504, 2152, 1654, 2302, 1518, 2166, 1421, 2069)(1365, 2013, 1422, 2070, 1519, 2167, 1678, 2326, 1522, 2170, 1423, 2071)(1371, 2019, 1433, 2081, 1538, 2186, 1706, 2354, 1536, 2184, 1431, 2079)(1373, 2021, 1437, 2085, 1544, 2192, 1713, 2361, 1540, 2188, 1434, 2082)(1374, 2022, 1438, 2086, 1546, 2194, 1723, 2371, 1548, 2196, 1439, 2087)(1378, 2026, 1446, 2094, 1558, 2206, 1733, 2381, 1554, 2202, 1443, 2091)(1379, 2027, 1447, 2095, 1560, 2208, 1739, 2387, 1562, 2210, 1448, 2096)(1386, 2034, 1459, 2107, 1580, 2228, 1757, 2405, 1583, 2231, 1460, 2108)(1388, 2036, 1462, 2110, 1585, 2233, 1720, 2368, 1588, 2236, 1463, 2111)(1392, 2040, 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	L = (1, 1299)(2, 1303)(3, 1306)(4, 1308)(5, 1297)(6, 1311)(7, 1313)(8, 1298)(9, 1300)(10, 1320)(11, 1322)(12, 1323)(13, 1325)(14, 1301)(15, 1328)(16, 1302)(17, 1333)(18, 1335)(19, 1336)(20, 1304)(21, 1339)(22, 1305)(23, 1307)(24, 1310)(25, 1347)(26, 1348)(27, 1342)(28, 1352)(29, 1353)(30, 1309)(31, 1346)(32, 1359)(33, 1361)(34, 1362)(35, 1312)(36, 1314)(37, 1316)(38, 1369)(39, 1370)(40, 1372)(41, 1315)(42, 1368)(43, 1377)(44, 1317)(45, 1381)(46, 1318)(47, 1384)(48, 1319)(49, 1321)(50, 1390)(51, 1391)(52, 1387)(53, 1395)(54, 1324)(55, 1398)(56, 1399)(57, 1402)(58, 1404)(59, 1405)(60, 1326)(61, 1327)(62, 1329)(63, 1331)(64, 1414)(65, 1415)(66, 1417)(67, 1330)(68, 1413)(69, 1422)(70, 1332)(71, 1334)(72, 1428)(73, 1429)(74, 1425)(75, 1433)(76, 1435)(77, 1437)(78, 1438)(79, 1337)(80, 1338)(81, 1444)(82, 1446)(83, 1447)(84, 1340)(85, 1450)(86, 1341)(87, 1351)(88, 1455)(89, 1343)(90, 1459)(91, 1344)(92, 1462)(93, 1345)(94, 1466)(95, 1465)(96, 1470)(97, 1349)(98, 1473)(99, 1474)(100, 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2215)(920, 2216)(921, 2217)(922, 2218)(923, 2219)(924, 2220)(925, 2221)(926, 2222)(927, 2223)(928, 2224)(929, 2225)(930, 2226)(931, 2227)(932, 2228)(933, 2229)(934, 2230)(935, 2231)(936, 2232)(937, 2233)(938, 2234)(939, 2235)(940, 2236)(941, 2237)(942, 2238)(943, 2239)(944, 2240)(945, 2241)(946, 2242)(947, 2243)(948, 2244)(949, 2245)(950, 2246)(951, 2247)(952, 2248)(953, 2249)(954, 2250)(955, 2251)(956, 2252)(957, 2253)(958, 2254)(959, 2255)(960, 2256)(961, 2257)(962, 2258)(963, 2259)(964, 2260)(965, 2261)(966, 2262)(967, 2263)(968, 2264)(969, 2265)(970, 2266)(971, 2267)(972, 2268)(973, 2269)(974, 2270)(975, 2271)(976, 2272)(977, 2273)(978, 2274)(979, 2275)(980, 2276)(981, 2277)(982, 2278)(983, 2279)(984, 2280)(985, 2281)(986, 2282)(987, 2283)(988, 2284)(989, 2285)(990, 2286)(991, 2287)(992, 2288)(993, 2289)(994, 2290)(995, 2291)(996, 2292)(997, 2293)(998, 2294)(999, 2295)(1000, 2296)(1001, 2297)(1002, 2298)(1003, 2299)(1004, 2300)(1005, 2301)(1006, 2302)(1007, 2303)(1008, 2304)(1009, 2305)(1010, 2306)(1011, 2307)(1012, 2308)(1013, 2309)(1014, 2310)(1015, 2311)(1016, 2312)(1017, 2313)(1018, 2314)(1019, 2315)(1020, 2316)(1021, 2317)(1022, 2318)(1023, 2319)(1024, 2320)(1025, 2321)(1026, 2322)(1027, 2323)(1028, 2324)(1029, 2325)(1030, 2326)(1031, 2327)(1032, 2328)(1033, 2329)(1034, 2330)(1035, 2331)(1036, 2332)(1037, 2333)(1038, 2334)(1039, 2335)(1040, 2336)(1041, 2337)(1042, 2338)(1043, 2339)(1044, 2340)(1045, 2341)(1046, 2342)(1047, 2343)(1048, 2344)(1049, 2345)(1050, 2346)(1051, 2347)(1052, 2348)(1053, 2349)(1054, 2350)(1055, 2351)(1056, 2352)(1057, 2353)(1058, 2354)(1059, 2355)(1060, 2356)(1061, 2357)(1062, 2358)(1063, 2359)(1064, 2360)(1065, 2361)(1066, 2362)(1067, 2363)(1068, 2364)(1069, 2365)(1070, 2366)(1071, 2367)(1072, 2368)(1073, 2369)(1074, 2370)(1075, 2371)(1076, 2372)(1077, 2373)(1078, 2374)(1079, 2375)(1080, 2376)(1081, 2377)(1082, 2378)(1083, 2379)(1084, 2380)(1085, 2381)(1086, 2382)(1087, 2383)(1088, 2384)(1089, 2385)(1090, 2386)(1091, 2387)(1092, 2388)(1093, 2389)(1094, 2390)(1095, 2391)(1096, 2392)(1097, 2393)(1098, 2394)(1099, 2395)(1100, 2396)(1101, 2397)(1102, 2398)(1103, 2399)(1104, 2400)(1105, 2401)(1106, 2402)(1107, 2403)(1108, 2404)(1109, 2405)(1110, 2406)(1111, 2407)(1112, 2408)(1113, 2409)(1114, 2410)(1115, 2411)(1116, 2412)(1117, 2413)(1118, 2414)(1119, 2415)(1120, 2416)(1121, 2417)(1122, 2418)(1123, 2419)(1124, 2420)(1125, 2421)(1126, 2422)(1127, 2423)(1128, 2424)(1129, 2425)(1130, 2426)(1131, 2427)(1132, 2428)(1133, 2429)(1134, 2430)(1135, 2431)(1136, 2432)(1137, 2433)(1138, 2434)(1139, 2435)(1140, 2436)(1141, 2437)(1142, 2438)(1143, 2439)(1144, 2440)(1145, 2441)(1146, 2442)(1147, 2443)(1148, 2444)(1149, 2445)(1150, 2446)(1151, 2447)(1152, 2448)(1153, 2449)(1154, 2450)(1155, 2451)(1156, 2452)(1157, 2453)(1158, 2454)(1159, 2455)(1160, 2456)(1161, 2457)(1162, 2458)(1163, 2459)(1164, 2460)(1165, 2461)(1166, 2462)(1167, 2463)(1168, 2464)(1169, 2465)(1170, 2466)(1171, 2467)(1172, 2468)(1173, 2469)(1174, 2470)(1175, 2471)(1176, 2472)(1177, 2473)(1178, 2474)(1179, 2475)(1180, 2476)(1181, 2477)(1182, 2478)(1183, 2479)(1184, 2480)(1185, 2481)(1186, 2482)(1187, 2483)(1188, 2484)(1189, 2485)(1190, 2486)(1191, 2487)(1192, 2488)(1193, 2489)(1194, 2490)(1195, 2491)(1196, 2492)(1197, 2493)(1198, 2494)(1199, 2495)(1200, 2496)(1201, 2497)(1202, 2498)(1203, 2499)(1204, 2500)(1205, 2501)(1206, 2502)(1207, 2503)(1208, 2504)(1209, 2505)(1210, 2506)(1211, 2507)(1212, 2508)(1213, 2509)(1214, 2510)(1215, 2511)(1216, 2512)(1217, 2513)(1218, 2514)(1219, 2515)(1220, 2516)(1221, 2517)(1222, 2518)(1223, 2519)(1224, 2520)(1225, 2521)(1226, 2522)(1227, 2523)(1228, 2524)(1229, 2525)(1230, 2526)(1231, 2527)(1232, 2528)(1233, 2529)(1234, 2530)(1235, 2531)(1236, 2532)(1237, 2533)(1238, 2534)(1239, 2535)(1240, 2536)(1241, 2537)(1242, 2538)(1243, 2539)(1244, 2540)(1245, 2541)(1246, 2542)(1247, 2543)(1248, 2544)(1249, 2545)(1250, 2546)(1251, 2547)(1252, 2548)(1253, 2549)(1254, 2550)(1255, 2551)(1256, 2552)(1257, 2553)(1258, 2554)(1259, 2555)(1260, 2556)(1261, 2557)(1262, 2558)(1263, 2559)(1264, 2560)(1265, 2561)(1266, 2562)(1267, 2563)(1268, 2564)(1269, 2565)(1270, 2566)(1271, 2567)(1272, 2568)(1273, 2569)(1274, 2570)(1275, 2571)(1276, 2572)(1277, 2573)(1278, 2574)(1279, 2575)(1280, 2576)(1281, 2577)(1282, 2578)(1283, 2579)(1284, 2580)(1285, 2581)(1286, 2582)(1287, 2583)(1288, 2584)(1289, 2585)(1290, 2586)(1291, 2587)(1292, 2588)(1293, 2589)(1294, 2590)(1295, 2591)(1296, 2592)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.3327
Graph:: bipartite
	v = 270 e = 1296 f = 972
	degree seq :: [ 8^162, 12^108 ]

E28.3327 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = $<648, 545>$ (small group id <648, 545>)
Aut   = $<1296, 2909>$ (small group id <1296, 2909>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^6, (Y2 * Y3^-1)^4, (Y3^-1 * Y1^-1)^6, Y3^-1 * Y2 * Y3^3 * Y2 * Y3 * Y2 * Y3^-2 * Y2 * Y3^-3 * Y2 * Y3 * Y2 * Y3^-1, Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^2 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-2 * Y2, Y3^-2 * Y2 * Y3^-2 * Y2 * Y3 * Y2 * Y3^3 * Y2 * Y3^-2 * Y2 * Y3 * Y2 * Y3^-1, (Y2 * Y3^-2 * Y2 * Y3^2)^3, (Y2 * Y3^2)^6 ]
Map:: polytopal
	R = (1, 649)(2, 650)(3, 651)(4, 652)(5, 653)(6, 654)(7, 655)(8, 656)(9, 657)(10, 658)(11, 659)(12, 660)(13, 661)(14, 662)(15, 663)(16, 664)(17, 665)(18, 666)(19, 667)(20, 668)(21, 669)(22, 670)(23, 671)(24, 672)(25, 673)(26, 674)(27, 675)(28, 676)(29, 677)(30, 678)(31, 679)(32, 680)(33, 681)(34, 682)(35, 683)(36, 684)(37, 685)(38, 686)(39, 687)(40, 688)(41, 689)(42, 690)(43, 691)(44, 692)(45, 693)(46, 694)(47, 695)(48, 696)(49, 697)(50, 698)(51, 699)(52, 700)(53, 701)(54, 702)(55, 703)(56, 704)(57, 705)(58, 706)(59, 707)(60, 708)(61, 709)(62, 710)(63, 711)(64, 712)(65, 713)(66, 714)(67, 715)(68, 716)(69, 717)(70, 718)(71, 719)(72, 720)(73, 721)(74, 722)(75, 723)(76, 724)(77, 725)(78, 726)(79, 727)(80, 728)(81, 729)(82, 730)(83, 731)(84, 732)(85, 733)(86, 734)(87, 735)(88, 736)(89, 737)(90, 738)(91, 739)(92, 740)(93, 741)(94, 742)(95, 743)(96, 744)(97, 745)(98, 746)(99, 747)(100, 748)(101, 749)(102, 750)(103, 751)(104, 752)(105, 753)(106, 754)(107, 755)(108, 756)(109, 757)(110, 758)(111, 759)(112, 760)(113, 761)(114, 762)(115, 763)(116, 764)(117, 765)(118, 766)(119, 767)(120, 768)(121, 769)(122, 770)(123, 771)(124, 772)(125, 773)(126, 774)(127, 775)(128, 776)(129, 777)(130, 778)(131, 779)(132, 780)(133, 781)(134, 782)(135, 783)(136, 784)(137, 785)(138, 786)(139, 787)(140, 788)(141, 789)(142, 790)(143, 791)(144, 792)(145, 793)(146, 794)(147, 795)(148, 796)(149, 797)(150, 798)(151, 799)(152, 800)(153, 801)(154, 802)(155, 803)(156, 804)(157, 805)(158, 806)(159, 807)(160, 808)(161, 809)(162, 810)(163, 811)(164, 812)(165, 813)(166, 814)(167, 815)(168, 816)(169, 817)(170, 818)(171, 819)(172, 820)(173, 821)(174, 822)(175, 823)(176, 824)(177, 825)(178, 826)(179, 827)(180, 828)(181, 829)(182, 830)(183, 831)(184, 832)(185, 833)(186, 834)(187, 835)(188, 836)(189, 837)(190, 838)(191, 839)(192, 840)(193, 841)(194, 842)(195, 843)(196, 844)(197, 845)(198, 846)(199, 847)(200, 848)(201, 849)(202, 850)(203, 851)(204, 852)(205, 853)(206, 854)(207, 855)(208, 856)(209, 857)(210, 858)(211, 859)(212, 860)(213, 861)(214, 862)(215, 863)(216, 864)(217, 865)(218, 866)(219, 867)(220, 868)(221, 869)(222, 870)(223, 871)(224, 872)(225, 873)(226, 874)(227, 875)(228, 876)(229, 877)(230, 878)(231, 879)(232, 880)(233, 881)(234, 882)(235, 883)(236, 884)(237, 885)(238, 886)(239, 887)(240, 888)(241, 889)(242, 890)(243, 891)(244, 892)(245, 893)(246, 894)(247, 895)(248, 896)(249, 897)(250, 898)(251, 899)(252, 900)(253, 901)(254, 902)(255, 903)(256, 904)(257, 905)(258, 906)(259, 907)(260, 908)(261, 909)(262, 910)(263, 911)(264, 912)(265, 913)(266, 914)(267, 915)(268, 916)(269, 917)(270, 918)(271, 919)(272, 920)(273, 921)(274, 922)(275, 923)(276, 924)(277, 925)(278, 926)(279, 927)(280, 928)(281, 929)(282, 930)(283, 931)(284, 932)(285, 933)(286, 934)(287, 935)(288, 936)(289, 937)(290, 938)(291, 939)(292, 940)(293, 941)(294, 942)(295, 943)(296, 944)(297, 945)(298, 946)(299, 947)(300, 948)(301, 949)(302, 950)(303, 951)(304, 952)(305, 953)(306, 954)(307, 955)(308, 956)(309, 957)(310, 958)(311, 959)(312, 960)(313, 961)(314, 962)(315, 963)(316, 964)(317, 965)(318, 966)(319, 967)(320, 968)(321, 969)(322, 970)(323, 971)(324, 972)(325, 973)(326, 974)(327, 975)(328, 976)(329, 977)(330, 978)(331, 979)(332, 980)(333, 981)(334, 982)(335, 983)(336, 984)(337, 985)(338, 986)(339, 987)(340, 988)(341, 989)(342, 990)(343, 991)(344, 992)(345, 993)(346, 994)(347, 995)(348, 996)(349, 997)(350, 998)(351, 999)(352, 1000)(353, 1001)(354, 1002)(355, 1003)(356, 1004)(357, 1005)(358, 1006)(359, 1007)(360, 1008)(361, 1009)(362, 1010)(363, 1011)(364, 1012)(365, 1013)(366, 1014)(367, 1015)(368, 1016)(369, 1017)(370, 1018)(371, 1019)(372, 1020)(373, 1021)(374, 1022)(375, 1023)(376, 1024)(377, 1025)(378, 1026)(379, 1027)(380, 1028)(381, 1029)(382, 1030)(383, 1031)(384, 1032)(385, 1033)(386, 1034)(387, 1035)(388, 1036)(389, 1037)(390, 1038)(391, 1039)(392, 1040)(393, 1041)(394, 1042)(395, 1043)(396, 1044)(397, 1045)(398, 1046)(399, 1047)(400, 1048)(401, 1049)(402, 1050)(403, 1051)(404, 1052)(405, 1053)(406, 1054)(407, 1055)(408, 1056)(409, 1057)(410, 1058)(411, 1059)(412, 1060)(413, 1061)(414, 1062)(415, 1063)(416, 1064)(417, 1065)(418, 1066)(419, 1067)(420, 1068)(421, 1069)(422, 1070)(423, 1071)(424, 1072)(425, 1073)(426, 1074)(427, 1075)(428, 1076)(429, 1077)(430, 1078)(431, 1079)(432, 1080)(433, 1081)(434, 1082)(435, 1083)(436, 1084)(437, 1085)(438, 1086)(439, 1087)(440, 1088)(441, 1089)(442, 1090)(443, 1091)(444, 1092)(445, 1093)(446, 1094)(447, 1095)(448, 1096)(449, 1097)(450, 1098)(451, 1099)(452, 1100)(453, 1101)(454, 1102)(455, 1103)(456, 1104)(457, 1105)(458, 1106)(459, 1107)(460, 1108)(461, 1109)(462, 1110)(463, 1111)(464, 1112)(465, 1113)(466, 1114)(467, 1115)(468, 1116)(469, 1117)(470, 1118)(471, 1119)(472, 1120)(473, 1121)(474, 1122)(475, 1123)(476, 1124)(477, 1125)(478, 1126)(479, 1127)(480, 1128)(481, 1129)(482, 1130)(483, 1131)(484, 1132)(485, 1133)(486, 1134)(487, 1135)(488, 1136)(489, 1137)(490, 1138)(491, 1139)(492, 1140)(493, 1141)(494, 1142)(495, 1143)(496, 1144)(497, 1145)(498, 1146)(499, 1147)(500, 1148)(501, 1149)(502, 1150)(503, 1151)(504, 1152)(505, 1153)(506, 1154)(507, 1155)(508, 1156)(509, 1157)(510, 1158)(511, 1159)(512, 1160)(513, 1161)(514, 1162)(515, 1163)(516, 1164)(517, 1165)(518, 1166)(519, 1167)(520, 1168)(521, 1169)(522, 1170)(523, 1171)(524, 1172)(525, 1173)(526, 1174)(527, 1175)(528, 1176)(529, 1177)(530, 1178)(531, 1179)(532, 1180)(533, 1181)(534, 1182)(535, 1183)(536, 1184)(537, 1185)(538, 1186)(539, 1187)(540, 1188)(541, 1189)(542, 1190)(543, 1191)(544, 1192)(545, 1193)(546, 1194)(547, 1195)(548, 1196)(549, 1197)(550, 1198)(551, 1199)(552, 1200)(553, 1201)(554, 1202)(555, 1203)(556, 1204)(557, 1205)(558, 1206)(559, 1207)(560, 1208)(561, 1209)(562, 1210)(563, 1211)(564, 1212)(565, 1213)(566, 1214)(567, 1215)(568, 1216)(569, 1217)(570, 1218)(571, 1219)(572, 1220)(573, 1221)(574, 1222)(575, 1223)(576, 1224)(577, 1225)(578, 1226)(579, 1227)(580, 1228)(581, 1229)(582, 1230)(583, 1231)(584, 1232)(585, 1233)(586, 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1979)(1316, 1964, 1318, 1966)(1319, 1967, 1337, 1985)(1321, 1969, 1341, 1989)(1322, 1970, 1342, 1990)(1325, 1973, 1347, 1995)(1327, 1975, 1351, 1999)(1328, 1976, 1350, 1998)(1329, 1977, 1353, 2001)(1332, 1980, 1359, 2007)(1333, 1981, 1361, 2009)(1334, 1982, 1362, 2010)(1335, 1983, 1357, 2005)(1336, 1984, 1365, 2013)(1338, 1986, 1369, 2017)(1339, 1987, 1368, 2016)(1340, 1988, 1371, 2019)(1343, 1991, 1377, 2025)(1344, 1992, 1379, 2027)(1345, 1993, 1380, 2028)(1346, 1994, 1375, 2023)(1348, 1996, 1385, 2033)(1349, 1997, 1386, 2034)(1352, 2000, 1391, 2039)(1354, 2002, 1395, 2043)(1355, 2003, 1394, 2042)(1356, 2004, 1397, 2045)(1358, 2006, 1400, 2048)(1360, 2008, 1404, 2052)(1363, 2011, 1408, 2056)(1364, 2012, 1410, 2058)(1366, 2014, 1413, 2061)(1367, 2015, 1414, 2062)(1370, 2018, 1419, 2067)(1372, 2020, 1423, 2071)(1373, 2021, 1422, 2070)(1374, 2022, 1425, 2073)(1376, 2024, 1428, 2076)(1378, 2026, 1432, 2080)(1381, 2029, 1436, 2084)(1382, 2030, 1438, 2086)(1383, 2031, 1434, 2082)(1384, 2032, 1440, 2088)(1387, 2035, 1446, 2094)(1388, 2036, 1448, 2096)(1389, 2037, 1449, 2097)(1390, 2038, 1444, 2092)(1392, 2040, 1454, 2102)(1393, 2041, 1455, 2103)(1396, 2044, 1460, 2108)(1398, 2046, 1463, 2111)(1399, 2047, 1464, 2112)(1401, 2049, 1468, 2116)(1402, 2050, 1467, 2115)(1403, 2051, 1470, 2118)(1405, 2053, 1474, 2122)(1406, 2054, 1411, 2059)(1407, 2055, 1477, 2125)(1409, 2057, 1481, 2129)(1412, 2060, 1485, 2133)(1415, 2063, 1491, 2139)(1416, 2064, 1493, 2141)(1417, 2065, 1494, 2142)(1418, 2066, 1489, 2137)(1420, 2068, 1499, 2147)(1421, 2069, 1500, 2148)(1424, 2072, 1505, 2153)(1426, 2074, 1508, 2156)(1427, 2075, 1509, 2157)(1429, 2077, 1513, 2161)(1430, 2078, 1512, 2160)(1431, 2079, 1515, 2163)(1433, 2081, 1519, 2167)(1435, 2083, 1522, 2170)(1437, 2085, 1526, 2174)(1439, 2087, 1529, 2177)(1441, 2089, 1533, 2181)(1442, 2090, 1532, 2180)(1443, 2091, 1535, 2183)(1445, 2093, 1538, 2186)(1447, 2095, 1542, 2190)(1450, 2098, 1546, 2194)(1451, 2099, 1548, 2196)(1452, 2100, 1544, 2192)(1453, 2101, 1550, 2198)(1456, 2104, 1556, 2204)(1457, 2105, 1558, 2206)(1458, 2106, 1559, 2207)(1459, 2107, 1554, 2202)(1461, 2109, 1564, 2212)(1462, 2110, 1565, 2213)(1465, 2113, 1571, 2219)(1466, 2114, 1572, 2220)(1469, 2117, 1577, 2225)(1471, 2119, 1581, 2229)(1472, 2120, 1580, 2228)(1473, 2121, 1583, 2231)(1475, 2123, 1586, 2234)(1476, 2124, 1588, 2236)(1478, 2126, 1591, 2239)(1479, 2127, 1590, 2238)(1480, 2128, 1593, 2241)(1482, 2130, 1597, 2245)(1483, 2131, 1569, 2217)(1484, 2132, 1600, 2248)(1486, 2134, 1604, 2252)(1487, 2135, 1603, 2251)(1488, 2136, 1606, 2254)(1490, 2138, 1609, 2257)(1492, 2140, 1613, 2261)(1495, 2143, 1617, 2265)(1496, 2144, 1619, 2267)(1497, 2145, 1615, 2263)(1498, 2146, 1621, 2269)(1501, 2149, 1627, 2275)(1502, 2150, 1629, 2277)(1503, 2151, 1630, 2278)(1504, 2152, 1625, 2273)(1506, 2154, 1635, 2283)(1507, 2155, 1636, 2284)(1510, 2158, 1642, 2290)(1511, 2159, 1643, 2291)(1514, 2162, 1648, 2296)(1516, 2164, 1652, 2300)(1517, 2165, 1651, 2299)(1518, 2166, 1654, 2302)(1520, 2168, 1657, 2305)(1521, 2169, 1659, 2307)(1523, 2171, 1662, 2310)(1524, 2172, 1661, 2309)(1525, 2173, 1664, 2312)(1527, 2175, 1668, 2316)(1528, 2176, 1640, 2288)(1530, 2178, 1673, 2321)(1531, 2179, 1611, 2259)(1534, 2182, 1677, 2325)(1536, 2184, 1624, 2272)(1537, 2185, 1614, 2262)(1539, 2187, 1660, 2308)(1540, 2188, 1602, 2250)(1541, 2189, 1681, 2329)(1543, 2191, 1608, 2256)(1545, 2193, 1687, 2335)(1547, 2195, 1634, 2282)(1549, 2197, 1670, 2318)(1551, 2199, 1695, 2343)(1552, 2200, 1694, 2342)(1553, 2201, 1607, 2255)(1555, 2203, 1644, 2292)(1557, 2205, 1628, 2276)(1560, 2208, 1631, 2279)(1561, 2209, 1704, 2352)(1562, 2210, 1702, 2350)(1563, 2211, 1618, 2266)(1566, 2214, 1637, 2285)(1567, 2215, 1649, 2297)(1568, 2216, 1707, 2355)(1570, 2218, 1645, 2293)(1573, 2221, 1626, 2274)(1574, 2222, 1641, 2289)(1575, 2223, 1714, 2362)(1576, 2224, 1656, 2304)(1578, 2226, 1638, 2286)(1579, 2227, 1717, 2365)(1582, 2230, 1666, 2314)(1584, 2232, 1719, 2367)(1585, 2233, 1647, 2295)(1587, 2235, 1722, 2370)(1589, 2237, 1610, 2258)(1592, 2240, 1726, 2374)(1594, 2242, 1665, 2313)(1595, 2243, 1653, 2301)(1596, 2244, 1682, 2330)(1598, 2246, 1730, 2378)(1599, 2247, 1620, 2268)(1601, 2249, 1734, 2382)(1605, 2253, 1738, 2386)(1612, 2260, 1742, 2390)(1616, 2264, 1748, 2396)(1622, 2270, 1756, 2404)(1623, 2271, 1755, 2403)(1632, 2280, 1765, 2413)(1633, 2281, 1763, 2411)(1639, 2287, 1768, 2416)(1646, 2294, 1775, 2423)(1650, 2298, 1778, 2426)(1655, 2303, 1780, 2428)(1658, 2306, 1783, 2431)(1663, 2311, 1787, 2435)(1667, 2315, 1743, 2391)(1669, 2317, 1791, 2439)(1671, 2319, 1732, 2380)(1672, 2320, 1786, 2434)(1674, 2322, 1769, 2417)(1675, 2323, 1796, 2444)(1676, 2324, 1741, 2389)(1678, 2326, 1801, 2449)(1679, 2327, 1745, 2393)(1680, 2328, 1737, 2385)(1683, 2331, 1803, 2451)(1684, 2332, 1740, 2388)(1685, 2333, 1752, 2400)(1686, 2334, 1772, 2420)(1688, 2336, 1774, 2422)(1689, 2337, 1806, 2454)(1690, 2338, 1808, 2456)(1691, 2339, 1746, 2394)(1692, 2340, 1811, 2459)(1693, 2341, 1781, 2429)(1696, 2344, 1814, 2462)(1697, 2345, 1795, 2443)(1698, 2346, 1784, 2432)(1699, 2347, 1805, 2453)(1700, 2348, 1762, 2410)(1701, 2349, 1761, 2409)(1703, 2351, 1800, 2448)(1705, 2353, 1810, 2458)(1706, 2354, 1821, 2469)(1708, 2356, 1735, 2383)(1709, 2357, 1797, 2445)(1710, 2358, 1825, 2473)(1711, 2359, 1747, 2395)(1712, 2360, 1776, 2424)(1713, 2361, 1749, 2397)(1715, 2363, 1773, 2421)(1716, 2364, 1828, 2476)(1718, 2366, 1830, 2478)(1720, 2368, 1754, 2402)(1721, 2369, 1835, 2483)(1723, 2371, 1759, 2407)(1724, 2372, 1831, 2479)(1725, 2373, 1733, 2381)(1727, 2375, 1832, 2480)(1728, 2376, 1836, 2484)(1729, 2377, 1840, 2488)(1731, 2379, 1842, 2490)(1736, 2384, 1846, 2494)(1739, 2387, 1851, 2499)(1744, 2392, 1853, 2501)(1750, 2398, 1856, 2504)(1751, 2399, 1858, 2506)(1753, 2401, 1861, 2509)(1757, 2405, 1864, 2512)(1758, 2406, 1845, 2493)(1760, 2408, 1855, 2503)(1764, 2412, 1850, 2498)(1766, 2414, 1860, 2508)(1767, 2415, 1871, 2519)(1770, 2418, 1847, 2495)(1771, 2419, 1875, 2523)(1777, 2425, 1878, 2526)(1779, 2427, 1880, 2528)(1782, 2430, 1885, 2533)(1785, 2433, 1881, 2529)(1788, 2436, 1882, 2530)(1789, 2437, 1886, 2534)(1790, 2438, 1890, 2538)(1792, 2440, 1892, 2540)(1793, 2441, 1869, 2517)(1794, 2442, 1888, 2536)(1798, 2446, 1891, 2539)(1799, 2447, 1873, 2521)(1802, 2450, 1895, 2543)(1804, 2452, 1867, 2515)(1807, 2455, 1862, 2510)(1809, 2457, 1868, 2516)(1812, 2460, 1857, 2505)(1813, 2461, 1884, 2532)(1815, 2463, 1887, 2535)(1816, 2464, 1883, 2531)(1817, 2465, 1854, 2502)(1818, 2466, 1859, 2507)(1819, 2467, 1843, 2491)(1820, 2468, 1904, 2552)(1822, 2470, 1876, 2524)(1823, 2471, 1849, 2497)(1824, 2472, 1901, 2549)(1826, 2474, 1872, 2520)(1827, 2475, 1900, 2548)(1829, 2477, 1889, 2537)(1833, 2481, 1866, 2514)(1834, 2482, 1863, 2511)(1837, 2485, 1865, 2513)(1838, 2486, 1844, 2492)(1839, 2487, 1879, 2527)(1841, 2489, 1848, 2496)(1852, 2500, 1913, 2561)(1870, 2518, 1922, 2570)(1874, 2522, 1919, 2567)(1877, 2525, 1918, 2566)(1893, 2541, 1927, 2575)(1894, 2542, 1915, 2563)(1896, 2544, 1930, 2578)(1897, 2545, 1912, 2560)(1898, 2546, 1928, 2576)(1899, 2547, 1921, 2569)(1902, 2550, 1923, 2571)(1903, 2551, 1917, 2565)(1905, 2553, 1920, 2568)(1906, 2554, 1926, 2574)(1907, 2555, 1931, 2579)(1908, 2556, 1924, 2572)(1909, 2557, 1911, 2559)(1910, 2558, 1916, 2564)(1914, 2562, 1936, 2584)(1925, 2573, 1937, 2585)(1929, 2577, 1939, 2587)(1932, 2580, 1940, 2588)(1933, 2581, 1935, 2583)(1934, 2582, 1938, 2586)(1941, 2589, 1944, 2592)(1942, 2590, 1943, 2591)
	L = (1, 1299)(2, 1301)(3, 1304)(4, 1297)(5, 1308)(6, 1298)(7, 1311)(8, 1314)(9, 1315)(10, 1300)(11, 1318)(12, 1321)(13, 1322)(14, 1302)(15, 1325)(16, 1303)(17, 1328)(18, 1306)(19, 1332)(20, 1305)(21, 1334)(22, 1336)(23, 1307)(24, 1339)(25, 1310)(26, 1343)(27, 1309)(28, 1345)(29, 1348)(30, 1349)(31, 1312)(32, 1352)(33, 1313)(34, 1355)(35, 1357)(36, 1360)(37, 1316)(38, 1363)(39, 1317)(40, 1366)(41, 1367)(42, 1319)(43, 1370)(44, 1320)(45, 1373)(46, 1375)(47, 1378)(48, 1323)(49, 1381)(50, 1324)(51, 1383)(52, 1327)(53, 1387)(54, 1326)(55, 1389)(56, 1392)(57, 1393)(58, 1329)(59, 1396)(60, 1330)(61, 1399)(62, 1331)(63, 1402)(64, 1333)(65, 1405)(66, 1397)(67, 1409)(68, 1335)(69, 1411)(70, 1338)(71, 1415)(72, 1337)(73, 1417)(74, 1420)(75, 1421)(76, 1340)(77, 1424)(78, 1341)(79, 1427)(80, 1342)(81, 1430)(82, 1344)(83, 1433)(84, 1425)(85, 1437)(86, 1346)(87, 1439)(88, 1347)(89, 1442)(90, 1444)(91, 1447)(92, 1350)(93, 1450)(94, 1351)(95, 1452)(96, 1354)(97, 1456)(98, 1353)(99, 1458)(100, 1461)(101, 1462)(102, 1356)(103, 1465)(104, 1466)(105, 1358)(106, 1469)(107, 1359)(108, 1472)(109, 1475)(110, 1361)(111, 1362)(112, 1479)(113, 1364)(114, 1482)(115, 1484)(116, 1365)(117, 1487)(118, 1489)(119, 1492)(120, 1368)(121, 1495)(122, 1369)(123, 1497)(124, 1372)(125, 1501)(126, 1371)(127, 1503)(128, 1506)(129, 1507)(130, 1374)(131, 1510)(132, 1511)(133, 1376)(134, 1514)(135, 1377)(136, 1517)(137, 1520)(138, 1379)(139, 1380)(140, 1524)(141, 1382)(142, 1527)(143, 1530)(144, 1531)(145, 1384)(146, 1534)(147, 1385)(148, 1537)(149, 1386)(150, 1540)(151, 1388)(152, 1543)(153, 1535)(154, 1547)(155, 1390)(156, 1549)(157, 1391)(158, 1552)(159, 1554)(160, 1557)(161, 1394)(162, 1560)(163, 1395)(164, 1562)(165, 1398)(166, 1566)(167, 1567)(168, 1569)(169, 1401)(170, 1573)(171, 1400)(172, 1575)(173, 1578)(174, 1579)(175, 1403)(176, 1582)(177, 1404)(178, 1583)(179, 1587)(180, 1406)(181, 1589)(182, 1407)(183, 1592)(184, 1408)(185, 1595)(186, 1598)(187, 1410)(188, 1601)(189, 1602)(190, 1412)(191, 1605)(192, 1413)(193, 1608)(194, 1414)(195, 1611)(196, 1416)(197, 1614)(198, 1606)(199, 1618)(200, 1418)(201, 1620)(202, 1419)(203, 1623)(204, 1625)(205, 1628)(206, 1422)(207, 1631)(208, 1423)(209, 1633)(210, 1426)(211, 1637)(212, 1638)(213, 1640)(214, 1429)(215, 1644)(216, 1428)(217, 1646)(218, 1649)(219, 1650)(220, 1431)(221, 1653)(222, 1432)(223, 1654)(224, 1658)(225, 1434)(226, 1660)(227, 1435)(228, 1663)(229, 1436)(230, 1666)(231, 1669)(232, 1438)(233, 1671)(234, 1441)(235, 1609)(236, 1440)(237, 1675)(238, 1630)(239, 1678)(240, 1443)(241, 1679)(242, 1662)(243, 1445)(244, 1680)(245, 1446)(246, 1683)(247, 1685)(248, 1448)(249, 1449)(250, 1689)(251, 1451)(252, 1690)(253, 1692)(254, 1693)(255, 1453)(256, 1696)(257, 1454)(258, 1698)(259, 1455)(260, 1643)(261, 1457)(262, 1701)(263, 1607)(264, 1703)(265, 1459)(266, 1705)(267, 1460)(268, 1617)(269, 1707)(270, 1478)(271, 1709)(272, 1463)(273, 1711)(274, 1464)(275, 1688)(276, 1656)(277, 1713)(278, 1467)(279, 1694)(280, 1468)(281, 1715)(282, 1471)(283, 1684)(284, 1470)(285, 1635)(286, 1664)(287, 1700)(288, 1473)(289, 1474)(290, 1720)(291, 1476)(292, 1723)(293, 1724)(294, 1477)(295, 1674)(296, 1727)(297, 1655)(298, 1480)(299, 1728)(300, 1481)(301, 1682)(302, 1731)(303, 1483)(304, 1732)(305, 1486)(306, 1538)(307, 1485)(308, 1736)(309, 1559)(310, 1739)(311, 1488)(312, 1740)(313, 1591)(314, 1490)(315, 1741)(316, 1491)(317, 1744)(318, 1746)(319, 1493)(320, 1494)(321, 1750)(322, 1496)(323, 1751)(324, 1753)(325, 1754)(326, 1498)(327, 1757)(328, 1499)(329, 1759)(330, 1500)(331, 1572)(332, 1502)(333, 1762)(334, 1536)(335, 1764)(336, 1504)(337, 1766)(338, 1505)(339, 1546)(340, 1768)(341, 1523)(342, 1770)(343, 1508)(344, 1772)(345, 1509)(346, 1749)(347, 1585)(348, 1774)(349, 1512)(350, 1755)(351, 1513)(352, 1776)(353, 1516)(354, 1745)(355, 1515)(356, 1564)(357, 1593)(358, 1761)(359, 1518)(360, 1519)(361, 1781)(362, 1521)(363, 1784)(364, 1785)(365, 1522)(366, 1735)(367, 1788)(368, 1584)(369, 1525)(370, 1789)(371, 1526)(372, 1743)(373, 1792)(374, 1528)(375, 1588)(376, 1529)(377, 1794)(378, 1532)(379, 1797)(380, 1533)(381, 1799)(382, 1571)(383, 1539)(384, 1597)(385, 1802)(386, 1541)(387, 1580)(388, 1542)(389, 1804)(390, 1544)(391, 1805)(392, 1545)(393, 1807)(394, 1809)(395, 1548)(396, 1551)(397, 1576)(398, 1550)(399, 1812)(400, 1796)(401, 1553)(402, 1815)(403, 1555)(404, 1556)(405, 1816)(406, 1558)(407, 1561)(408, 1818)(409, 1820)(410, 1563)(411, 1822)(412, 1565)(413, 1824)(414, 1568)(415, 1826)(416, 1570)(417, 1574)(418, 1801)(419, 1825)(420, 1577)(421, 1830)(422, 1581)(423, 1832)(424, 1834)(425, 1586)(426, 1836)(427, 1793)(428, 1838)(429, 1590)(430, 1819)(431, 1594)(432, 1835)(433, 1596)(434, 1841)(435, 1599)(436, 1659)(437, 1600)(438, 1844)(439, 1603)(440, 1847)(441, 1604)(442, 1849)(443, 1642)(444, 1610)(445, 1668)(446, 1852)(447, 1612)(448, 1651)(449, 1613)(450, 1854)(451, 1615)(452, 1855)(453, 1616)(454, 1857)(455, 1859)(456, 1619)(457, 1622)(458, 1647)(459, 1621)(460, 1862)(461, 1846)(462, 1624)(463, 1865)(464, 1626)(465, 1627)(466, 1866)(467, 1629)(468, 1632)(469, 1868)(470, 1870)(471, 1634)(472, 1872)(473, 1636)(474, 1874)(475, 1639)(476, 1876)(477, 1641)(478, 1645)(479, 1851)(480, 1875)(481, 1648)(482, 1880)(483, 1652)(484, 1882)(485, 1884)(486, 1657)(487, 1886)(488, 1843)(489, 1888)(490, 1661)(491, 1869)(492, 1665)(493, 1885)(494, 1667)(495, 1891)(496, 1670)(497, 1672)(498, 1877)(499, 1673)(500, 1697)(501, 1878)(502, 1676)(503, 1893)(504, 1677)(505, 1845)(506, 1887)(507, 1681)(508, 1686)(509, 1896)(510, 1687)(511, 1718)(512, 1871)(513, 1897)(514, 1691)(515, 1898)(516, 1730)(517, 1695)(518, 1900)(519, 1699)(520, 1902)(521, 1702)(522, 1903)(523, 1704)(524, 1706)(525, 1721)(526, 1905)(527, 1708)(528, 1710)(529, 1906)(530, 1712)(531, 1714)(532, 1848)(533, 1716)(534, 1861)(535, 1717)(536, 1908)(537, 1719)(538, 1858)(539, 1729)(540, 1853)(541, 1722)(542, 1725)(543, 1726)(544, 1904)(545, 1899)(546, 1856)(547, 1733)(548, 1827)(549, 1734)(550, 1758)(551, 1828)(552, 1737)(553, 1911)(554, 1738)(555, 1795)(556, 1837)(557, 1742)(558, 1747)(559, 1914)(560, 1748)(561, 1779)(562, 1821)(563, 1915)(564, 1752)(565, 1916)(566, 1791)(567, 1756)(568, 1918)(569, 1760)(570, 1920)(571, 1763)(572, 1921)(573, 1765)(574, 1767)(575, 1782)(576, 1923)(577, 1769)(578, 1771)(579, 1924)(580, 1773)(581, 1775)(582, 1798)(583, 1777)(584, 1811)(585, 1778)(586, 1926)(587, 1780)(588, 1808)(589, 1790)(590, 1803)(591, 1783)(592, 1786)(593, 1787)(594, 1922)(595, 1917)(596, 1806)(597, 1929)(598, 1800)(599, 1840)(600, 1928)(601, 1810)(602, 1925)(603, 1813)(604, 1931)(605, 1814)(606, 1817)(607, 1839)(608, 1933)(609, 1823)(610, 1829)(611, 1831)(612, 1934)(613, 1833)(614, 1842)(615, 1935)(616, 1850)(617, 1890)(618, 1910)(619, 1860)(620, 1907)(621, 1863)(622, 1937)(623, 1864)(624, 1867)(625, 1889)(626, 1939)(627, 1873)(628, 1879)(629, 1881)(630, 1940)(631, 1883)(632, 1892)(633, 1894)(634, 1895)(635, 1942)(636, 1901)(637, 1941)(638, 1909)(639, 1912)(640, 1913)(641, 1944)(642, 1919)(643, 1943)(644, 1927)(645, 1930)(646, 1932)(647, 1936)(648, 1938)(649, 1945)(650, 1946)(651, 1947)(652, 1948)(653, 1949)(654, 1950)(655, 1951)(656, 1952)(657, 1953)(658, 1954)(659, 1955)(660, 1956)(661, 1957)(662, 1958)(663, 1959)(664, 1960)(665, 1961)(666, 1962)(667, 1963)(668, 1964)(669, 1965)(670, 1966)(671, 1967)(672, 1968)(673, 1969)(674, 1970)(675, 1971)(676, 1972)(677, 1973)(678, 1974)(679, 1975)(680, 1976)(681, 1977)(682, 1978)(683, 1979)(684, 1980)(685, 1981)(686, 1982)(687, 1983)(688, 1984)(689, 1985)(690, 1986)(691, 1987)(692, 1988)(693, 1989)(694, 1990)(695, 1991)(696, 1992)(697, 1993)(698, 1994)(699, 1995)(700, 1996)(701, 1997)(702, 1998)(703, 1999)(704, 2000)(705, 2001)(706, 2002)(707, 2003)(708, 2004)(709, 2005)(710, 2006)(711, 2007)(712, 2008)(713, 2009)(714, 2010)(715, 2011)(716, 2012)(717, 2013)(718, 2014)(719, 2015)(720, 2016)(721, 2017)(722, 2018)(723, 2019)(724, 2020)(725, 2021)(726, 2022)(727, 2023)(728, 2024)(729, 2025)(730, 2026)(731, 2027)(732, 2028)(733, 2029)(734, 2030)(735, 2031)(736, 2032)(737, 2033)(738, 2034)(739, 2035)(740, 2036)(741, 2037)(742, 2038)(743, 2039)(744, 2040)(745, 2041)(746, 2042)(747, 2043)(748, 2044)(749, 2045)(750, 2046)(751, 2047)(752, 2048)(753, 2049)(754, 2050)(755, 2051)(756, 2052)(757, 2053)(758, 2054)(759, 2055)(760, 2056)(761, 2057)(762, 2058)(763, 2059)(764, 2060)(765, 2061)(766, 2062)(767, 2063)(768, 2064)(769, 2065)(770, 2066)(771, 2067)(772, 2068)(773, 2069)(774, 2070)(775, 2071)(776, 2072)(777, 2073)(778, 2074)(779, 2075)(780, 2076)(781, 2077)(782, 2078)(783, 2079)(784, 2080)(785, 2081)(786, 2082)(787, 2083)(788, 2084)(789, 2085)(790, 2086)(791, 2087)(792, 2088)(793, 2089)(794, 2090)(795, 2091)(796, 2092)(797, 2093)(798, 2094)(799, 2095)(800, 2096)(801, 2097)(802, 2098)(803, 2099)(804, 2100)(805, 2101)(806, 2102)(807, 2103)(808, 2104)(809, 2105)(810, 2106)(811, 2107)(812, 2108)(813, 2109)(814, 2110)(815, 2111)(816, 2112)(817, 2113)(818, 2114)(819, 2115)(820, 2116)(821, 2117)(822, 2118)(823, 2119)(824, 2120)(825, 2121)(826, 2122)(827, 2123)(828, 2124)(829, 2125)(830, 2126)(831, 2127)(832, 2128)(833, 2129)(834, 2130)(835, 2131)(836, 2132)(837, 2133)(838, 2134)(839, 2135)(840, 2136)(841, 2137)(842, 2138)(843, 2139)(844, 2140)(845, 2141)(846, 2142)(847, 2143)(848, 2144)(849, 2145)(850, 2146)(851, 2147)(852, 2148)(853, 2149)(854, 2150)(855, 2151)(856, 2152)(857, 2153)(858, 2154)(859, 2155)(860, 2156)(861, 2157)(862, 2158)(863, 2159)(864, 2160)(865, 2161)(866, 2162)(867, 2163)(868, 2164)(869, 2165)(870, 2166)(871, 2167)(872, 2168)(873, 2169)(874, 2170)(875, 2171)(876, 2172)(877, 2173)(878, 2174)(879, 2175)(880, 2176)(881, 2177)(882, 2178)(883, 2179)(884, 2180)(885, 2181)(886, 2182)(887, 2183)(888, 2184)(889, 2185)(890, 2186)(891, 2187)(892, 2188)(893, 2189)(894, 2190)(895, 2191)(896, 2192)(897, 2193)(898, 2194)(899, 2195)(900, 2196)(901, 2197)(902, 2198)(903, 2199)(904, 2200)(905, 2201)(906, 2202)(907, 2203)(908, 2204)(909, 2205)(910, 2206)(911, 2207)(912, 2208)(913, 2209)(914, 2210)(915, 2211)(916, 2212)(917, 2213)(918, 2214)(919, 2215)(920, 2216)(921, 2217)(922, 2218)(923, 2219)(924, 2220)(925, 2221)(926, 2222)(927, 2223)(928, 2224)(929, 2225)(930, 2226)(931, 2227)(932, 2228)(933, 2229)(934, 2230)(935, 2231)(936, 2232)(937, 2233)(938, 2234)(939, 2235)(940, 2236)(941, 2237)(942, 2238)(943, 2239)(944, 2240)(945, 2241)(946, 2242)(947, 2243)(948, 2244)(949, 2245)(950, 2246)(951, 2247)(952, 2248)(953, 2249)(954, 2250)(955, 2251)(956, 2252)(957, 2253)(958, 2254)(959, 2255)(960, 2256)(961, 2257)(962, 2258)(963, 2259)(964, 2260)(965, 2261)(966, 2262)(967, 2263)(968, 2264)(969, 2265)(970, 2266)(971, 2267)(972, 2268)(973, 2269)(974, 2270)(975, 2271)(976, 2272)(977, 2273)(978, 2274)(979, 2275)(980, 2276)(981, 2277)(982, 2278)(983, 2279)(984, 2280)(985, 2281)(986, 2282)(987, 2283)(988, 2284)(989, 2285)(990, 2286)(991, 2287)(992, 2288)(993, 2289)(994, 2290)(995, 2291)(996, 2292)(997, 2293)(998, 2294)(999, 2295)(1000, 2296)(1001, 2297)(1002, 2298)(1003, 2299)(1004, 2300)(1005, 2301)(1006, 2302)(1007, 2303)(1008, 2304)(1009, 2305)(1010, 2306)(1011, 2307)(1012, 2308)(1013, 2309)(1014, 2310)(1015, 2311)(1016, 2312)(1017, 2313)(1018, 2314)(1019, 2315)(1020, 2316)(1021, 2317)(1022, 2318)(1023, 2319)(1024, 2320)(1025, 2321)(1026, 2322)(1027, 2323)(1028, 2324)(1029, 2325)(1030, 2326)(1031, 2327)(1032, 2328)(1033, 2329)(1034, 2330)(1035, 2331)(1036, 2332)(1037, 2333)(1038, 2334)(1039, 2335)(1040, 2336)(1041, 2337)(1042, 2338)(1043, 2339)(1044, 2340)(1045, 2341)(1046, 2342)(1047, 2343)(1048, 2344)(1049, 2345)(1050, 2346)(1051, 2347)(1052, 2348)(1053, 2349)(1054, 2350)(1055, 2351)(1056, 2352)(1057, 2353)(1058, 2354)(1059, 2355)(1060, 2356)(1061, 2357)(1062, 2358)(1063, 2359)(1064, 2360)(1065, 2361)(1066, 2362)(1067, 2363)(1068, 2364)(1069, 2365)(1070, 2366)(1071, 2367)(1072, 2368)(1073, 2369)(1074, 2370)(1075, 2371)(1076, 2372)(1077, 2373)(1078, 2374)(1079, 2375)(1080, 2376)(1081, 2377)(1082, 2378)(1083, 2379)(1084, 2380)(1085, 2381)(1086, 2382)(1087, 2383)(1088, 2384)(1089, 2385)(1090, 2386)(1091, 2387)(1092, 2388)(1093, 2389)(1094, 2390)(1095, 2391)(1096, 2392)(1097, 2393)(1098, 2394)(1099, 2395)(1100, 2396)(1101, 2397)(1102, 2398)(1103, 2399)(1104, 2400)(1105, 2401)(1106, 2402)(1107, 2403)(1108, 2404)(1109, 2405)(1110, 2406)(1111, 2407)(1112, 2408)(1113, 2409)(1114, 2410)(1115, 2411)(1116, 2412)(1117, 2413)(1118, 2414)(1119, 2415)(1120, 2416)(1121, 2417)(1122, 2418)(1123, 2419)(1124, 2420)(1125, 2421)(1126, 2422)(1127, 2423)(1128, 2424)(1129, 2425)(1130, 2426)(1131, 2427)(1132, 2428)(1133, 2429)(1134, 2430)(1135, 2431)(1136, 2432)(1137, 2433)(1138, 2434)(1139, 2435)(1140, 2436)(1141, 2437)(1142, 2438)(1143, 2439)(1144, 2440)(1145, 2441)(1146, 2442)(1147, 2443)(1148, 2444)(1149, 2445)(1150, 2446)(1151, 2447)(1152, 2448)(1153, 2449)(1154, 2450)(1155, 2451)(1156, 2452)(1157, 2453)(1158, 2454)(1159, 2455)(1160, 2456)(1161, 2457)(1162, 2458)(1163, 2459)(1164, 2460)(1165, 2461)(1166, 2462)(1167, 2463)(1168, 2464)(1169, 2465)(1170, 2466)(1171, 2467)(1172, 2468)(1173, 2469)(1174, 2470)(1175, 2471)(1176, 2472)(1177, 2473)(1178, 2474)(1179, 2475)(1180, 2476)(1181, 2477)(1182, 2478)(1183, 2479)(1184, 2480)(1185, 2481)(1186, 2482)(1187, 2483)(1188, 2484)(1189, 2485)(1190, 2486)(1191, 2487)(1192, 2488)(1193, 2489)(1194, 2490)(1195, 2491)(1196, 2492)(1197, 2493)(1198, 2494)(1199, 2495)(1200, 2496)(1201, 2497)(1202, 2498)(1203, 2499)(1204, 2500)(1205, 2501)(1206, 2502)(1207, 2503)(1208, 2504)(1209, 2505)(1210, 2506)(1211, 2507)(1212, 2508)(1213, 2509)(1214, 2510)(1215, 2511)(1216, 2512)(1217, 2513)(1218, 2514)(1219, 2515)(1220, 2516)(1221, 2517)(1222, 2518)(1223, 2519)(1224, 2520)(1225, 2521)(1226, 2522)(1227, 2523)(1228, 2524)(1229, 2525)(1230, 2526)(1231, 2527)(1232, 2528)(1233, 2529)(1234, 2530)(1235, 2531)(1236, 2532)(1237, 2533)(1238, 2534)(1239, 2535)(1240, 2536)(1241, 2537)(1242, 2538)(1243, 2539)(1244, 2540)(1245, 2541)(1246, 2542)(1247, 2543)(1248, 2544)(1249, 2545)(1250, 2546)(1251, 2547)(1252, 2548)(1253, 2549)(1254, 2550)(1255, 2551)(1256, 2552)(1257, 2553)(1258, 2554)(1259, 2555)(1260, 2556)(1261, 2557)(1262, 2558)(1263, 2559)(1264, 2560)(1265, 2561)(1266, 2562)(1267, 2563)(1268, 2564)(1269, 2565)(1270, 2566)(1271, 2567)(1272, 2568)(1273, 2569)(1274, 2570)(1275, 2571)(1276, 2572)(1277, 2573)(1278, 2574)(1279, 2575)(1280, 2576)(1281, 2577)(1282, 2578)(1283, 2579)(1284, 2580)(1285, 2581)(1286, 2582)(1287, 2583)(1288, 2584)(1289, 2585)(1290, 2586)(1291, 2587)(1292, 2588)(1293, 2589)(1294, 2590)(1295, 2591)(1296, 2592)
	local type(s) :: { ( 8, 12 ), ( 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3326
Graph:: simple bipartite
	v = 972 e = 1296 f = 270
	degree seq :: [ 2^648, 4^324 ]

E28.3328 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = $<648, 545>$ (small group id <648, 545>)
Aut   = $<1296, 2909>$ (small group id <1296, 2909>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y3)^2, Y1^6, (Y3 * Y1)^4, (Y3 * Y1^2)^6, Y3 * Y1 * Y3 * Y1^-3 * Y3 * Y1^-2 * Y3 * Y1 * Y3 * Y1^3 * Y3 * Y1^-2, Y3 * Y1 * Y3 * Y1^-2 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-2, Y3 * Y1^-3 * Y3 * Y1 * Y3 * Y1^-2 * Y3 * Y1^3 * Y3 * Y1 * Y3 * Y1^-2, (Y3 * Y1^-2 * Y3 * Y1^2)^3 ]
Map:: polytopal
	R = (1, 649, 2, 650, 5, 653, 11, 659, 10, 658, 4, 652)(3, 651, 7, 655, 15, 663, 29, 677, 18, 666, 8, 656)(6, 654, 13, 661, 25, 673, 46, 694, 28, 676, 14, 662)(9, 657, 19, 667, 35, 683, 61, 709, 37, 685, 20, 668)(12, 660, 23, 671, 42, 690, 73, 721, 45, 693, 24, 672)(16, 664, 31, 679, 54, 702, 93, 741, 56, 704, 32, 680)(17, 665, 33, 681, 57, 705, 82, 730, 48, 696, 26, 674)(21, 669, 38, 686, 66, 714, 111, 759, 68, 716, 39, 687)(22, 670, 40, 688, 69, 717, 115, 763, 72, 720, 41, 689)(27, 675, 49, 697, 83, 731, 124, 772, 75, 723, 43, 691)(30, 678, 52, 700, 89, 737, 147, 795, 92, 740, 53, 701)(34, 682, 59, 707, 100, 748, 164, 812, 102, 750, 60, 708)(36, 684, 63, 711, 106, 754, 174, 822, 108, 756, 64, 712)(44, 692, 76, 724, 125, 773, 192, 840, 117, 765, 70, 718)(47, 695, 79, 727, 131, 779, 215, 863, 134, 782, 80, 728)(50, 698, 85, 733, 140, 788, 229, 877, 142, 790, 86, 734)(51, 699, 87, 735, 143, 791, 233, 881, 146, 794, 88, 736)(55, 703, 95, 743, 155, 803, 242, 890, 149, 797, 90, 738)(58, 706, 98, 746, 161, 809, 262, 910, 163, 811, 99, 747)(62, 710, 104, 752, 170, 818, 277, 925, 173, 821, 105, 753)(65, 713, 109, 757, 178, 826, 289, 937, 180, 828, 110, 758)(67, 715, 71, 719, 118, 766, 193, 841, 185, 833, 113, 761)(74, 722, 121, 769, 199, 847, 322, 970, 202, 850, 122, 770)(77, 725, 127, 775, 208, 856, 336, 984, 210, 858, 128, 776)(78, 726, 129, 777, 211, 859, 340, 988, 214, 862, 130, 778)(81, 729, 135, 783, 220, 868, 349, 997, 217, 865, 132, 780)(84, 732, 138, 786, 226, 874, 364, 1012, 228, 876, 139, 787)(91, 739, 150, 798, 243, 891, 311, 959, 235, 883, 144, 792)(94, 742, 153, 801, 249, 897, 392, 1040, 251, 899, 154, 802)(96, 744, 157, 805, 255, 903, 308, 956, 257, 905, 158, 806)(97, 745, 159, 807, 258, 906, 316, 964, 261, 909, 160, 808)(101, 749, 145, 793, 236, 884, 312, 960, 270, 918, 166, 814)(103, 751, 168, 816, 273, 921, 411, 1059, 276, 924, 169, 817)(107, 755, 176, 824, 285, 933, 418, 1066, 279, 927, 171, 819)(112, 760, 182, 830, 295, 943, 430, 1078, 298, 946, 183, 831)(114, 762, 186, 834, 301, 949, 434, 1082, 303, 951, 187, 835)(116, 764, 189, 837, 306, 954, 438, 1086, 309, 957, 190, 838)(119, 767, 195, 843, 315, 963, 447, 1095, 317, 965, 196, 844)(120, 768, 197, 845, 318, 966, 450, 1098, 321, 969, 198, 846)(123, 771, 203, 851, 327, 975, 456, 1104, 324, 972, 200, 848)(126, 774, 206, 854, 333, 981, 464, 1112, 335, 983, 207, 855)(133, 781, 218, 866, 350, 998, 300, 948, 342, 990, 212, 860)(136, 784, 222, 870, 357, 1005, 297, 945, 359, 1007, 223, 871)(137, 785, 224, 872, 360, 1008, 302, 950, 363, 1011, 225, 873)(141, 789, 213, 861, 343, 991, 282, 930, 372, 1020, 231, 879)(148, 796, 239, 887, 381, 1029, 504, 1152, 384, 1032, 240, 888)(151, 799, 245, 893, 337, 985, 469, 1117, 389, 1037, 246, 894)(152, 800, 247, 895, 338, 986, 209, 857, 320, 968, 248, 896)(156, 804, 253, 901, 328, 976, 461, 1109, 396, 1044, 254, 902)(162, 810, 264, 912, 334, 982, 466, 1114, 400, 1048, 259, 907)(165, 813, 267, 915, 409, 1057, 527, 1175, 412, 1060, 268, 916)(167, 815, 271, 919, 413, 1061, 454, 1102, 323, 971, 272, 920)(172, 820, 280, 928, 330, 978, 204, 852, 329, 977, 274, 922)(175, 823, 283, 931, 421, 1069, 536, 1184, 422, 1070, 284, 932)(177, 825, 287, 935, 319, 967, 201, 849, 325, 973, 288, 936)(179, 827, 275, 923, 332, 980, 205, 853, 331, 979, 291, 939)(181, 829, 293, 941, 428, 1076, 541, 1189, 429, 1077, 294, 942)(184, 832, 299, 947, 433, 1081, 544, 1192, 432, 1080, 296, 944)(188, 836, 304, 952, 436, 1084, 547, 1195, 437, 1085, 305, 953)(191, 839, 310, 958, 442, 1090, 553, 1201, 440, 1088, 307, 955)(194, 842, 313, 961, 444, 1092, 556, 1204, 446, 1094, 314, 962)(216, 864, 346, 994, 292, 940, 427, 1075, 480, 1128, 347, 995)(219, 867, 352, 1000, 448, 1096, 560, 1208, 483, 1131, 353, 1001)(221, 869, 355, 1003, 443, 1091, 386, 1034, 286, 934, 356, 1004)(227, 875, 366, 1014, 445, 1093, 390, 1038, 250, 898, 361, 1009)(230, 878, 369, 1017, 493, 1141, 420, 1068, 281, 929, 370, 1018)(232, 880, 373, 1021, 495, 1143, 551, 1199, 439, 1087, 374, 1022)(234, 882, 375, 1023, 497, 1145, 594, 1242, 492, 1140, 368, 1016)(237, 885, 378, 1026, 500, 1148, 598, 1246, 501, 1149, 379, 1027)(238, 886, 380, 1028, 502, 1150, 582, 1230, 476, 1124, 344, 992)(241, 889, 365, 1013, 490, 1138, 552, 1200, 505, 1153, 382, 1030)(244, 892, 387, 1035, 508, 1156, 604, 1252, 509, 1157, 388, 1036)(252, 900, 351, 999, 482, 1130, 414, 1062, 516, 1164, 395, 1043)(256, 904, 391, 1039, 511, 1159, 402, 1050, 518, 1166, 397, 1045)(260, 908, 401, 1049, 489, 1137, 385, 1033, 485, 1133, 358, 1006)(263, 911, 403, 1051, 455, 1103, 557, 1205, 523, 1171, 404, 1052)(265, 913, 405, 1053, 503, 1151, 383, 1031, 506, 1154, 406, 1054)(266, 914, 407, 1055, 525, 1173, 587, 1235, 526, 1174, 408, 1056)(269, 917, 367, 1015, 491, 1139, 584, 1232, 479, 1127, 410, 1058)(278, 926, 416, 1064, 449, 1097, 561, 1209, 533, 1181, 417, 1065)(290, 938, 425, 1073, 540, 1188, 554, 1202, 441, 1089, 426, 1074)(326, 974, 458, 1106, 435, 1083, 546, 1194, 568, 1216, 459, 1107)(339, 987, 471, 1119, 577, 1225, 543, 1191, 431, 1079, 472, 1120)(341, 989, 473, 1121, 579, 1227, 629, 1277, 575, 1223, 468, 1116)(345, 993, 477, 1125, 583, 1231, 524, 1172, 563, 1211, 452, 1100)(348, 996, 465, 1113, 573, 1221, 513, 1161, 393, 1041, 478, 1126)(354, 1002, 457, 1105, 567, 1215, 496, 1144, 588, 1236, 484, 1132)(362, 1010, 488, 1136, 572, 1220, 481, 1129, 570, 1218, 462, 1110)(371, 1019, 467, 1115, 574, 1222, 625, 1273, 565, 1213, 494, 1142)(376, 1024, 463, 1111, 571, 1219, 619, 1267, 566, 1214, 498, 1146)(377, 1025, 499, 1147, 597, 1245, 617, 1265, 580, 1228, 474, 1122)(394, 1042, 514, 1162, 599, 1247, 532, 1180, 591, 1239, 487, 1135)(398, 1046, 519, 1167, 578, 1226, 627, 1275, 569, 1217, 460, 1108)(399, 1047, 520, 1168, 600, 1248, 634, 1282, 608, 1256, 521, 1169)(415, 1063, 530, 1178, 611, 1259, 638, 1286, 612, 1260, 531, 1179)(419, 1067, 534, 1182, 602, 1250, 635, 1283, 613, 1261, 535, 1183)(423, 1071, 475, 1123, 581, 1229, 512, 1160, 606, 1254, 537, 1185)(424, 1072, 538, 1186, 589, 1237, 515, 1163, 607, 1255, 539, 1187)(451, 1099, 562, 1210, 623, 1271, 642, 1290, 621, 1269, 559, 1207)(453, 1101, 564, 1212, 624, 1272, 593, 1241, 522, 1170, 549, 1197)(470, 1118, 558, 1206, 620, 1268, 640, 1288, 616, 1264, 576, 1224)(486, 1134, 590, 1238, 622, 1270, 641, 1289, 618, 1266, 555, 1203)(507, 1155, 595, 1243, 529, 1177, 586, 1234, 630, 1278, 603, 1251)(510, 1158, 596, 1244, 626, 1274, 610, 1258, 528, 1176, 585, 1233)(517, 1165, 605, 1253, 636, 1284, 614, 1262, 545, 1193, 548, 1196)(542, 1190, 550, 1198, 615, 1263, 639, 1287, 628, 1276, 592, 1240)(601, 1249, 631, 1279, 643, 1291, 647, 1295, 645, 1293, 633, 1281)(609, 1257, 632, 1280, 644, 1292, 648, 1296, 646, 1294, 637, 1285)(1297, 1945)(1298, 1946)(1299, 1947)(1300, 1948)(1301, 1949)(1302, 1950)(1303, 1951)(1304, 1952)(1305, 1953)(1306, 1954)(1307, 1955)(1308, 1956)(1309, 1957)(1310, 1958)(1311, 1959)(1312, 1960)(1313, 1961)(1314, 1962)(1315, 1963)(1316, 1964)(1317, 1965)(1318, 1966)(1319, 1967)(1320, 1968)(1321, 1969)(1322, 1970)(1323, 1971)(1324, 1972)(1325, 1973)(1326, 1974)(1327, 1975)(1328, 1976)(1329, 1977)(1330, 1978)(1331, 1979)(1332, 1980)(1333, 1981)(1334, 1982)(1335, 1983)(1336, 1984)(1337, 1985)(1338, 1986)(1339, 1987)(1340, 1988)(1341, 1989)(1342, 1990)(1343, 1991)(1344, 1992)(1345, 1993)(1346, 1994)(1347, 1995)(1348, 1996)(1349, 1997)(1350, 1998)(1351, 1999)(1352, 2000)(1353, 2001)(1354, 2002)(1355, 2003)(1356, 2004)(1357, 2005)(1358, 2006)(1359, 2007)(1360, 2008)(1361, 2009)(1362, 2010)(1363, 2011)(1364, 2012)(1365, 2013)(1366, 2014)(1367, 2015)(1368, 2016)(1369, 2017)(1370, 2018)(1371, 2019)(1372, 2020)(1373, 2021)(1374, 2022)(1375, 2023)(1376, 2024)(1377, 2025)(1378, 2026)(1379, 2027)(1380, 2028)(1381, 2029)(1382, 2030)(1383, 2031)(1384, 2032)(1385, 2033)(1386, 2034)(1387, 2035)(1388, 2036)(1389, 2037)(1390, 2038)(1391, 2039)(1392, 2040)(1393, 2041)(1394, 2042)(1395, 2043)(1396, 2044)(1397, 2045)(1398, 2046)(1399, 2047)(1400, 2048)(1401, 2049)(1402, 2050)(1403, 2051)(1404, 2052)(1405, 2053)(1406, 2054)(1407, 2055)(1408, 2056)(1409, 2057)(1410, 2058)(1411, 2059)(1412, 2060)(1413, 2061)(1414, 2062)(1415, 2063)(1416, 2064)(1417, 2065)(1418, 2066)(1419, 2067)(1420, 2068)(1421, 2069)(1422, 2070)(1423, 2071)(1424, 2072)(1425, 2073)(1426, 2074)(1427, 2075)(1428, 2076)(1429, 2077)(1430, 2078)(1431, 2079)(1432, 2080)(1433, 2081)(1434, 2082)(1435, 2083)(1436, 2084)(1437, 2085)(1438, 2086)(1439, 2087)(1440, 2088)(1441, 2089)(1442, 2090)(1443, 2091)(1444, 2092)(1445, 2093)(1446, 2094)(1447, 2095)(1448, 2096)(1449, 2097)(1450, 2098)(1451, 2099)(1452, 2100)(1453, 2101)(1454, 2102)(1455, 2103)(1456, 2104)(1457, 2105)(1458, 2106)(1459, 2107)(1460, 2108)(1461, 2109)(1462, 2110)(1463, 2111)(1464, 2112)(1465, 2113)(1466, 2114)(1467, 2115)(1468, 2116)(1469, 2117)(1470, 2118)(1471, 2119)(1472, 2120)(1473, 2121)(1474, 2122)(1475, 2123)(1476, 2124)(1477, 2125)(1478, 2126)(1479, 2127)(1480, 2128)(1481, 2129)(1482, 2130)(1483, 2131)(1484, 2132)(1485, 2133)(1486, 2134)(1487, 2135)(1488, 2136)(1489, 2137)(1490, 2138)(1491, 2139)(1492, 2140)(1493, 2141)(1494, 2142)(1495, 2143)(1496, 2144)(1497, 2145)(1498, 2146)(1499, 2147)(1500, 2148)(1501, 2149)(1502, 2150)(1503, 2151)(1504, 2152)(1505, 2153)(1506, 2154)(1507, 2155)(1508, 2156)(1509, 2157)(1510, 2158)(1511, 2159)(1512, 2160)(1513, 2161)(1514, 2162)(1515, 2163)(1516, 2164)(1517, 2165)(1518, 2166)(1519, 2167)(1520, 2168)(1521, 2169)(1522, 2170)(1523, 2171)(1524, 2172)(1525, 2173)(1526, 2174)(1527, 2175)(1528, 2176)(1529, 2177)(1530, 2178)(1531, 2179)(1532, 2180)(1533, 2181)(1534, 2182)(1535, 2183)(1536, 2184)(1537, 2185)(1538, 2186)(1539, 2187)(1540, 2188)(1541, 2189)(1542, 2190)(1543, 2191)(1544, 2192)(1545, 2193)(1546, 2194)(1547, 2195)(1548, 2196)(1549, 2197)(1550, 2198)(1551, 2199)(1552, 2200)(1553, 2201)(1554, 2202)(1555, 2203)(1556, 2204)(1557, 2205)(1558, 2206)(1559, 2207)(1560, 2208)(1561, 2209)(1562, 2210)(1563, 2211)(1564, 2212)(1565, 2213)(1566, 2214)(1567, 2215)(1568, 2216)(1569, 2217)(1570, 2218)(1571, 2219)(1572, 2220)(1573, 2221)(1574, 2222)(1575, 2223)(1576, 2224)(1577, 2225)(1578, 2226)(1579, 2227)(1580, 2228)(1581, 2229)(1582, 2230)(1583, 2231)(1584, 2232)(1585, 2233)(1586, 2234)(1587, 2235)(1588, 2236)(1589, 2237)(1590, 2238)(1591, 2239)(1592, 2240)(1593, 2241)(1594, 2242)(1595, 2243)(1596, 2244)(1597, 2245)(1598, 2246)(1599, 2247)(1600, 2248)(1601, 2249)(1602, 2250)(1603, 2251)(1604, 2252)(1605, 2253)(1606, 2254)(1607, 2255)(1608, 2256)(1609, 2257)(1610, 2258)(1611, 2259)(1612, 2260)(1613, 2261)(1614, 2262)(1615, 2263)(1616, 2264)(1617, 2265)(1618, 2266)(1619, 2267)(1620, 2268)(1621, 2269)(1622, 2270)(1623, 2271)(1624, 2272)(1625, 2273)(1626, 2274)(1627, 2275)(1628, 2276)(1629, 2277)(1630, 2278)(1631, 2279)(1632, 2280)(1633, 2281)(1634, 2282)(1635, 2283)(1636, 2284)(1637, 2285)(1638, 2286)(1639, 2287)(1640, 2288)(1641, 2289)(1642, 2290)(1643, 2291)(1644, 2292)(1645, 2293)(1646, 2294)(1647, 2295)(1648, 2296)(1649, 2297)(1650, 2298)(1651, 2299)(1652, 2300)(1653, 2301)(1654, 2302)(1655, 2303)(1656, 2304)(1657, 2305)(1658, 2306)(1659, 2307)(1660, 2308)(1661, 2309)(1662, 2310)(1663, 2311)(1664, 2312)(1665, 2313)(1666, 2314)(1667, 2315)(1668, 2316)(1669, 2317)(1670, 2318)(1671, 2319)(1672, 2320)(1673, 2321)(1674, 2322)(1675, 2323)(1676, 2324)(1677, 2325)(1678, 2326)(1679, 2327)(1680, 2328)(1681, 2329)(1682, 2330)(1683, 2331)(1684, 2332)(1685, 2333)(1686, 2334)(1687, 2335)(1688, 2336)(1689, 2337)(1690, 2338)(1691, 2339)(1692, 2340)(1693, 2341)(1694, 2342)(1695, 2343)(1696, 2344)(1697, 2345)(1698, 2346)(1699, 2347)(1700, 2348)(1701, 2349)(1702, 2350)(1703, 2351)(1704, 2352)(1705, 2353)(1706, 2354)(1707, 2355)(1708, 2356)(1709, 2357)(1710, 2358)(1711, 2359)(1712, 2360)(1713, 2361)(1714, 2362)(1715, 2363)(1716, 2364)(1717, 2365)(1718, 2366)(1719, 2367)(1720, 2368)(1721, 2369)(1722, 2370)(1723, 2371)(1724, 2372)(1725, 2373)(1726, 2374)(1727, 2375)(1728, 2376)(1729, 2377)(1730, 2378)(1731, 2379)(1732, 2380)(1733, 2381)(1734, 2382)(1735, 2383)(1736, 2384)(1737, 2385)(1738, 2386)(1739, 2387)(1740, 2388)(1741, 2389)(1742, 2390)(1743, 2391)(1744, 2392)(1745, 2393)(1746, 2394)(1747, 2395)(1748, 2396)(1749, 2397)(1750, 2398)(1751, 2399)(1752, 2400)(1753, 2401)(1754, 2402)(1755, 2403)(1756, 2404)(1757, 2405)(1758, 2406)(1759, 2407)(1760, 2408)(1761, 2409)(1762, 2410)(1763, 2411)(1764, 2412)(1765, 2413)(1766, 2414)(1767, 2415)(1768, 2416)(1769, 2417)(1770, 2418)(1771, 2419)(1772, 2420)(1773, 2421)(1774, 2422)(1775, 2423)(1776, 2424)(1777, 2425)(1778, 2426)(1779, 2427)(1780, 2428)(1781, 2429)(1782, 2430)(1783, 2431)(1784, 2432)(1785, 2433)(1786, 2434)(1787, 2435)(1788, 2436)(1789, 2437)(1790, 2438)(1791, 2439)(1792, 2440)(1793, 2441)(1794, 2442)(1795, 2443)(1796, 2444)(1797, 2445)(1798, 2446)(1799, 2447)(1800, 2448)(1801, 2449)(1802, 2450)(1803, 2451)(1804, 2452)(1805, 2453)(1806, 2454)(1807, 2455)(1808, 2456)(1809, 2457)(1810, 2458)(1811, 2459)(1812, 2460)(1813, 2461)(1814, 2462)(1815, 2463)(1816, 2464)(1817, 2465)(1818, 2466)(1819, 2467)(1820, 2468)(1821, 2469)(1822, 2470)(1823, 2471)(1824, 2472)(1825, 2473)(1826, 2474)(1827, 2475)(1828, 2476)(1829, 2477)(1830, 2478)(1831, 2479)(1832, 2480)(1833, 2481)(1834, 2482)(1835, 2483)(1836, 2484)(1837, 2485)(1838, 2486)(1839, 2487)(1840, 2488)(1841, 2489)(1842, 2490)(1843, 2491)(1844, 2492)(1845, 2493)(1846, 2494)(1847, 2495)(1848, 2496)(1849, 2497)(1850, 2498)(1851, 2499)(1852, 2500)(1853, 2501)(1854, 2502)(1855, 2503)(1856, 2504)(1857, 2505)(1858, 2506)(1859, 2507)(1860, 2508)(1861, 2509)(1862, 2510)(1863, 2511)(1864, 2512)(1865, 2513)(1866, 2514)(1867, 2515)(1868, 2516)(1869, 2517)(1870, 2518)(1871, 2519)(1872, 2520)(1873, 2521)(1874, 2522)(1875, 2523)(1876, 2524)(1877, 2525)(1878, 2526)(1879, 2527)(1880, 2528)(1881, 2529)(1882, 2530)(1883, 2531)(1884, 2532)(1885, 2533)(1886, 2534)(1887, 2535)(1888, 2536)(1889, 2537)(1890, 2538)(1891, 2539)(1892, 2540)(1893, 2541)(1894, 2542)(1895, 2543)(1896, 2544)(1897, 2545)(1898, 2546)(1899, 2547)(1900, 2548)(1901, 2549)(1902, 2550)(1903, 2551)(1904, 2552)(1905, 2553)(1906, 2554)(1907, 2555)(1908, 2556)(1909, 2557)(1910, 2558)(1911, 2559)(1912, 2560)(1913, 2561)(1914, 2562)(1915, 2563)(1916, 2564)(1917, 2565)(1918, 2566)(1919, 2567)(1920, 2568)(1921, 2569)(1922, 2570)(1923, 2571)(1924, 2572)(1925, 2573)(1926, 2574)(1927, 2575)(1928, 2576)(1929, 2577)(1930, 2578)(1931, 2579)(1932, 2580)(1933, 2581)(1934, 2582)(1935, 2583)(1936, 2584)(1937, 2585)(1938, 2586)(1939, 2587)(1940, 2588)(1941, 2589)(1942, 2590)(1943, 2591)(1944, 2592)
	L = (1, 1299)(2, 1302)(3, 1297)(4, 1305)(5, 1308)(6, 1298)(7, 1312)(8, 1313)(9, 1300)(10, 1317)(11, 1318)(12, 1301)(13, 1322)(14, 1323)(15, 1326)(16, 1303)(17, 1304)(18, 1330)(19, 1332)(20, 1327)(21, 1306)(22, 1307)(23, 1339)(24, 1340)(25, 1343)(26, 1309)(27, 1310)(28, 1346)(29, 1347)(30, 1311)(31, 1316)(32, 1351)(33, 1354)(34, 1314)(35, 1358)(36, 1315)(37, 1361)(38, 1363)(39, 1359)(40, 1366)(41, 1367)(42, 1370)(43, 1319)(44, 1320)(45, 1373)(46, 1374)(47, 1321)(48, 1377)(49, 1380)(50, 1324)(51, 1325)(52, 1386)(53, 1387)(54, 1390)(55, 1328)(56, 1392)(57, 1393)(58, 1329)(59, 1397)(60, 1394)(61, 1399)(62, 1331)(63, 1335)(64, 1403)(65, 1333)(66, 1408)(67, 1334)(68, 1410)(69, 1412)(70, 1336)(71, 1337)(72, 1415)(73, 1416)(74, 1338)(75, 1419)(76, 1422)(77, 1341)(78, 1342)(79, 1428)(80, 1429)(81, 1344)(82, 1432)(83, 1433)(84, 1345)(85, 1437)(86, 1434)(87, 1440)(88, 1441)(89, 1444)(90, 1348)(91, 1349)(92, 1447)(93, 1448)(94, 1350)(95, 1452)(96, 1352)(97, 1353)(98, 1356)(99, 1458)(100, 1461)(101, 1355)(102, 1463)(103, 1357)(104, 1467)(105, 1468)(106, 1471)(107, 1360)(108, 1473)(109, 1475)(110, 1449)(111, 1477)(112, 1362)(113, 1480)(114, 1364)(115, 1484)(116, 1365)(117, 1487)(118, 1490)(119, 1368)(120, 1369)(121, 1496)(122, 1497)(123, 1371)(124, 1500)(125, 1501)(126, 1372)(127, 1505)(128, 1502)(129, 1508)(130, 1509)(131, 1512)(132, 1375)(133, 1376)(134, 1515)(135, 1517)(136, 1378)(137, 1379)(138, 1382)(139, 1523)(140, 1526)(141, 1381)(142, 1528)(143, 1530)(144, 1383)(145, 1384)(146, 1533)(147, 1534)(148, 1385)(149, 1537)(150, 1540)(151, 1388)(152, 1389)(153, 1406)(154, 1546)(155, 1548)(156, 1391)(157, 1552)(158, 1549)(159, 1555)(160, 1556)(161, 1559)(162, 1395)(163, 1561)(164, 1562)(165, 1396)(166, 1565)(167, 1398)(168, 1570)(169, 1571)(170, 1574)(171, 1400)(172, 1401)(173, 1577)(174, 1578)(175, 1402)(176, 1582)(177, 1404)(178, 1586)(179, 1405)(180, 1588)(181, 1407)(182, 1592)(183, 1593)(184, 1409)(185, 1596)(186, 1598)(187, 1579)(188, 1411)(189, 1603)(190, 1604)(191, 1413)(192, 1607)(193, 1608)(194, 1414)(195, 1612)(196, 1609)(197, 1615)(198, 1616)(199, 1619)(200, 1417)(201, 1418)(202, 1622)(203, 1624)(204, 1420)(205, 1421)(206, 1424)(207, 1630)(208, 1633)(209, 1423)(210, 1635)(211, 1637)(212, 1425)(213, 1426)(214, 1640)(215, 1641)(216, 1427)(217, 1644)(218, 1647)(219, 1430)(220, 1650)(221, 1431)(222, 1654)(223, 1651)(224, 1657)(225, 1658)(226, 1661)(227, 1435)(228, 1663)(229, 1664)(230, 1436)(231, 1667)(232, 1438)(233, 1666)(234, 1439)(235, 1672)(236, 1673)(237, 1442)(238, 1443)(239, 1678)(240, 1679)(241, 1445)(242, 1681)(243, 1682)(244, 1446)(245, 1636)(246, 1683)(247, 1686)(248, 1687)(249, 1689)(250, 1450)(251, 1690)(252, 1451)(253, 1454)(254, 1646)(255, 1600)(256, 1453)(257, 1694)(258, 1695)(259, 1455)(260, 1456)(261, 1601)(262, 1698)(263, 1457)(264, 1627)(265, 1459)(266, 1460)(267, 1706)(268, 1707)(269, 1462)(270, 1662)(271, 1710)(272, 1699)(273, 1703)(274, 1464)(275, 1465)(276, 1711)(277, 1674)(278, 1466)(279, 1700)(280, 1715)(281, 1469)(282, 1470)(283, 1483)(284, 1696)(285, 1684)(286, 1472)(287, 1719)(288, 1652)(289, 1720)(290, 1474)(291, 1702)(292, 1476)(293, 1653)(294, 1659)(295, 1727)(296, 1478)(297, 1479)(298, 1708)(299, 1692)(300, 1481)(301, 1731)(302, 1482)(303, 1677)(304, 1551)(305, 1557)(306, 1735)(307, 1485)(308, 1486)(309, 1737)(310, 1739)(311, 1488)(312, 1489)(313, 1492)(314, 1741)(315, 1744)(316, 1491)(317, 1745)(318, 1747)(319, 1493)(320, 1494)(321, 1748)(322, 1749)(323, 1495)(324, 1751)(325, 1753)(326, 1498)(327, 1756)(328, 1499)(329, 1758)(330, 1757)(331, 1560)(332, 1759)(333, 1761)(334, 1503)(335, 1763)(336, 1764)(337, 1504)(338, 1766)(339, 1506)(340, 1541)(341, 1507)(342, 1770)(343, 1771)(344, 1510)(345, 1511)(346, 1774)(347, 1775)(348, 1513)(349, 1777)(350, 1550)(351, 1514)(352, 1746)(353, 1778)(354, 1516)(355, 1519)(356, 1584)(357, 1589)(358, 1518)(359, 1782)(360, 1783)(361, 1520)(362, 1521)(363, 1590)(364, 1785)(365, 1522)(366, 1566)(367, 1524)(368, 1525)(369, 1790)(370, 1529)(371, 1527)(372, 1762)(373, 1792)(374, 1786)(375, 1794)(376, 1531)(377, 1532)(378, 1573)(379, 1795)(380, 1799)(381, 1599)(382, 1535)(383, 1536)(384, 1803)(385, 1538)(386, 1539)(387, 1542)(388, 1581)(389, 1806)(390, 1543)(391, 1544)(392, 1808)(393, 1545)(394, 1547)(395, 1811)(396, 1595)(397, 1813)(398, 1553)(399, 1554)(400, 1580)(401, 1818)(402, 1558)(403, 1568)(404, 1575)(405, 1820)(406, 1587)(407, 1569)(408, 1812)(409, 1824)(410, 1563)(411, 1564)(412, 1594)(413, 1825)(414, 1567)(415, 1572)(416, 1819)(417, 1828)(418, 1814)(419, 1576)(420, 1830)(421, 1801)(422, 1816)(423, 1583)(424, 1585)(425, 1802)(426, 1837)(427, 1804)(428, 1834)(429, 1838)(430, 1826)(431, 1591)(432, 1809)(433, 1831)(434, 1841)(435, 1597)(436, 1844)(437, 1845)(438, 1846)(439, 1602)(440, 1848)(441, 1605)(442, 1851)(443, 1606)(444, 1853)(445, 1610)(446, 1854)(447, 1855)(448, 1611)(449, 1613)(450, 1648)(451, 1614)(452, 1617)(453, 1618)(454, 1861)(455, 1620)(456, 1862)(457, 1621)(458, 1843)(459, 1863)(460, 1623)(461, 1626)(462, 1625)(463, 1628)(464, 1868)(465, 1629)(466, 1668)(467, 1631)(468, 1632)(469, 1872)(470, 1634)(471, 1874)(472, 1869)(473, 1876)(474, 1638)(475, 1639)(476, 1877)(477, 1880)(478, 1642)(479, 1643)(480, 1881)(481, 1645)(482, 1649)(483, 1882)(484, 1883)(485, 1885)(486, 1655)(487, 1656)(488, 1888)(489, 1660)(490, 1670)(491, 1889)(492, 1884)(493, 1891)(494, 1665)(495, 1892)(496, 1669)(497, 1865)(498, 1671)(499, 1675)(500, 1895)(501, 1896)(502, 1897)(503, 1676)(504, 1898)(505, 1717)(506, 1721)(507, 1680)(508, 1723)(509, 1901)(510, 1685)(511, 1859)(512, 1688)(513, 1728)(514, 1878)(515, 1691)(516, 1704)(517, 1693)(518, 1714)(519, 1850)(520, 1718)(521, 1856)(522, 1697)(523, 1712)(524, 1701)(525, 1866)(526, 1905)(527, 1886)(528, 1705)(529, 1709)(530, 1726)(531, 1867)(532, 1713)(533, 1906)(534, 1716)(535, 1729)(536, 1893)(537, 1858)(538, 1724)(539, 1900)(540, 1899)(541, 1722)(542, 1725)(543, 1904)(544, 1902)(545, 1730)(546, 1887)(547, 1754)(548, 1732)(549, 1733)(550, 1734)(551, 1912)(552, 1736)(553, 1913)(554, 1815)(555, 1738)(556, 1915)(557, 1740)(558, 1742)(559, 1743)(560, 1817)(561, 1918)(562, 1833)(563, 1807)(564, 1921)(565, 1750)(566, 1752)(567, 1755)(568, 1922)(569, 1793)(570, 1821)(571, 1827)(572, 1760)(573, 1768)(574, 1924)(575, 1923)(576, 1765)(577, 1926)(578, 1767)(579, 1914)(580, 1769)(581, 1772)(582, 1810)(583, 1927)(584, 1773)(585, 1776)(586, 1779)(587, 1780)(588, 1788)(589, 1781)(590, 1823)(591, 1842)(592, 1784)(593, 1787)(594, 1928)(595, 1789)(596, 1791)(597, 1832)(598, 1929)(599, 1796)(600, 1797)(601, 1798)(602, 1800)(603, 1836)(604, 1835)(605, 1805)(606, 1840)(607, 1933)(608, 1839)(609, 1822)(610, 1829)(611, 1930)(612, 1916)(613, 1919)(614, 1931)(615, 1936)(616, 1847)(617, 1849)(618, 1875)(619, 1852)(620, 1908)(621, 1937)(622, 1857)(623, 1909)(624, 1939)(625, 1860)(626, 1864)(627, 1871)(628, 1870)(629, 1940)(630, 1873)(631, 1879)(632, 1890)(633, 1894)(634, 1907)(635, 1910)(636, 1942)(637, 1903)(638, 1941)(639, 1943)(640, 1911)(641, 1917)(642, 1944)(643, 1920)(644, 1925)(645, 1934)(646, 1932)(647, 1935)(648, 1938)(649, 1945)(650, 1946)(651, 1947)(652, 1948)(653, 1949)(654, 1950)(655, 1951)(656, 1952)(657, 1953)(658, 1954)(659, 1955)(660, 1956)(661, 1957)(662, 1958)(663, 1959)(664, 1960)(665, 1961)(666, 1962)(667, 1963)(668, 1964)(669, 1965)(670, 1966)(671, 1967)(672, 1968)(673, 1969)(674, 1970)(675, 1971)(676, 1972)(677, 1973)(678, 1974)(679, 1975)(680, 1976)(681, 1977)(682, 1978)(683, 1979)(684, 1980)(685, 1981)(686, 1982)(687, 1983)(688, 1984)(689, 1985)(690, 1986)(691, 1987)(692, 1988)(693, 1989)(694, 1990)(695, 1991)(696, 1992)(697, 1993)(698, 1994)(699, 1995)(700, 1996)(701, 1997)(702, 1998)(703, 1999)(704, 2000)(705, 2001)(706, 2002)(707, 2003)(708, 2004)(709, 2005)(710, 2006)(711, 2007)(712, 2008)(713, 2009)(714, 2010)(715, 2011)(716, 2012)(717, 2013)(718, 2014)(719, 2015)(720, 2016)(721, 2017)(722, 2018)(723, 2019)(724, 2020)(725, 2021)(726, 2022)(727, 2023)(728, 2024)(729, 2025)(730, 2026)(731, 2027)(732, 2028)(733, 2029)(734, 2030)(735, 2031)(736, 2032)(737, 2033)(738, 2034)(739, 2035)(740, 2036)(741, 2037)(742, 2038)(743, 2039)(744, 2040)(745, 2041)(746, 2042)(747, 2043)(748, 2044)(749, 2045)(750, 2046)(751, 2047)(752, 2048)(753, 2049)(754, 2050)(755, 2051)(756, 2052)(757, 2053)(758, 2054)(759, 2055)(760, 2056)(761, 2057)(762, 2058)(763, 2059)(764, 2060)(765, 2061)(766, 2062)(767, 2063)(768, 2064)(769, 2065)(770, 2066)(771, 2067)(772, 2068)(773, 2069)(774, 2070)(775, 2071)(776, 2072)(777, 2073)(778, 2074)(779, 2075)(780, 2076)(781, 2077)(782, 2078)(783, 2079)(784, 2080)(785, 2081)(786, 2082)(787, 2083)(788, 2084)(789, 2085)(790, 2086)(791, 2087)(792, 2088)(793, 2089)(794, 2090)(795, 2091)(796, 2092)(797, 2093)(798, 2094)(799, 2095)(800, 2096)(801, 2097)(802, 2098)(803, 2099)(804, 2100)(805, 2101)(806, 2102)(807, 2103)(808, 2104)(809, 2105)(810, 2106)(811, 2107)(812, 2108)(813, 2109)(814, 2110)(815, 2111)(816, 2112)(817, 2113)(818, 2114)(819, 2115)(820, 2116)(821, 2117)(822, 2118)(823, 2119)(824, 2120)(825, 2121)(826, 2122)(827, 2123)(828, 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2305)(1010, 2306)(1011, 2307)(1012, 2308)(1013, 2309)(1014, 2310)(1015, 2311)(1016, 2312)(1017, 2313)(1018, 2314)(1019, 2315)(1020, 2316)(1021, 2317)(1022, 2318)(1023, 2319)(1024, 2320)(1025, 2321)(1026, 2322)(1027, 2323)(1028, 2324)(1029, 2325)(1030, 2326)(1031, 2327)(1032, 2328)(1033, 2329)(1034, 2330)(1035, 2331)(1036, 2332)(1037, 2333)(1038, 2334)(1039, 2335)(1040, 2336)(1041, 2337)(1042, 2338)(1043, 2339)(1044, 2340)(1045, 2341)(1046, 2342)(1047, 2343)(1048, 2344)(1049, 2345)(1050, 2346)(1051, 2347)(1052, 2348)(1053, 2349)(1054, 2350)(1055, 2351)(1056, 2352)(1057, 2353)(1058, 2354)(1059, 2355)(1060, 2356)(1061, 2357)(1062, 2358)(1063, 2359)(1064, 2360)(1065, 2361)(1066, 2362)(1067, 2363)(1068, 2364)(1069, 2365)(1070, 2366)(1071, 2367)(1072, 2368)(1073, 2369)(1074, 2370)(1075, 2371)(1076, 2372)(1077, 2373)(1078, 2374)(1079, 2375)(1080, 2376)(1081, 2377)(1082, 2378)(1083, 2379)(1084, 2380)(1085, 2381)(1086, 2382)(1087, 2383)(1088, 2384)(1089, 2385)(1090, 2386)(1091, 2387)(1092, 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2471)(1176, 2472)(1177, 2473)(1178, 2474)(1179, 2475)(1180, 2476)(1181, 2477)(1182, 2478)(1183, 2479)(1184, 2480)(1185, 2481)(1186, 2482)(1187, 2483)(1188, 2484)(1189, 2485)(1190, 2486)(1191, 2487)(1192, 2488)(1193, 2489)(1194, 2490)(1195, 2491)(1196, 2492)(1197, 2493)(1198, 2494)(1199, 2495)(1200, 2496)(1201, 2497)(1202, 2498)(1203, 2499)(1204, 2500)(1205, 2501)(1206, 2502)(1207, 2503)(1208, 2504)(1209, 2505)(1210, 2506)(1211, 2507)(1212, 2508)(1213, 2509)(1214, 2510)(1215, 2511)(1216, 2512)(1217, 2513)(1218, 2514)(1219, 2515)(1220, 2516)(1221, 2517)(1222, 2518)(1223, 2519)(1224, 2520)(1225, 2521)(1226, 2522)(1227, 2523)(1228, 2524)(1229, 2525)(1230, 2526)(1231, 2527)(1232, 2528)(1233, 2529)(1234, 2530)(1235, 2531)(1236, 2532)(1237, 2533)(1238, 2534)(1239, 2535)(1240, 2536)(1241, 2537)(1242, 2538)(1243, 2539)(1244, 2540)(1245, 2541)(1246, 2542)(1247, 2543)(1248, 2544)(1249, 2545)(1250, 2546)(1251, 2547)(1252, 2548)(1253, 2549)(1254, 2550)(1255, 2551)(1256, 2552)(1257, 2553)(1258, 2554)(1259, 2555)(1260, 2556)(1261, 2557)(1262, 2558)(1263, 2559)(1264, 2560)(1265, 2561)(1266, 2562)(1267, 2563)(1268, 2564)(1269, 2565)(1270, 2566)(1271, 2567)(1272, 2568)(1273, 2569)(1274, 2570)(1275, 2571)(1276, 2572)(1277, 2573)(1278, 2574)(1279, 2575)(1280, 2576)(1281, 2577)(1282, 2578)(1283, 2579)(1284, 2580)(1285, 2581)(1286, 2582)(1287, 2583)(1288, 2584)(1289, 2585)(1290, 2586)(1291, 2587)(1292, 2588)(1293, 2589)(1294, 2590)(1295, 2591)(1296, 2592)
	local type(s) :: { ( 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.3325
Graph:: simple bipartite
	v = 756 e = 1296 f = 486
	degree seq :: [ 2^648, 12^108 ]

E28.3329 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = $<648, 545>$ (small group id <648, 545>)
Aut   = $<1296, 2909>$ (small group id <1296, 2909>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^6, (Y1 * Y2^-1)^4, (R * Y2^2 * Y1)^2, (Y3 * Y2^-1)^4, Y2^-2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-3, (Y1 * Y2^-2 * Y1 * Y2^2)^3, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1, Y2 * Y1 * Y2^-3 * Y1 * Y2^3 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1, (Y1 * Y2^2)^6 ]
Map::
	R = (1, 649, 2, 650)(3, 651, 7, 655)(4, 652, 9, 657)(5, 653, 11, 659)(6, 654, 13, 661)(8, 656, 17, 665)(10, 658, 21, 669)(12, 660, 24, 672)(14, 662, 28, 676)(15, 663, 27, 675)(16, 664, 30, 678)(18, 666, 34, 682)(19, 667, 35, 683)(20, 668, 22, 670)(23, 671, 41, 689)(25, 673, 45, 693)(26, 674, 46, 694)(29, 677, 51, 699)(31, 679, 55, 703)(32, 680, 54, 702)(33, 681, 57, 705)(36, 684, 63, 711)(37, 685, 65, 713)(38, 686, 66, 714)(39, 687, 61, 709)(40, 688, 69, 717)(42, 690, 73, 721)(43, 691, 72, 720)(44, 692, 75, 723)(47, 695, 81, 729)(48, 696, 83, 731)(49, 697, 84, 732)(50, 698, 79, 727)(52, 700, 89, 737)(53, 701, 90, 738)(56, 704, 95, 743)(58, 706, 99, 747)(59, 707, 98, 746)(60, 708, 101, 749)(62, 710, 104, 752)(64, 712, 108, 756)(67, 715, 112, 760)(68, 716, 114, 762)(70, 718, 117, 765)(71, 719, 118, 766)(74, 722, 123, 771)(76, 724, 127, 775)(77, 725, 126, 774)(78, 726, 129, 777)(80, 728, 132, 780)(82, 730, 136, 784)(85, 733, 140, 788)(86, 734, 142, 790)(87, 735, 138, 786)(88, 736, 144, 792)(91, 739, 150, 798)(92, 740, 152, 800)(93, 741, 153, 801)(94, 742, 148, 796)(96, 744, 158, 806)(97, 745, 159, 807)(100, 748, 164, 812)(102, 750, 167, 815)(103, 751, 168, 816)(105, 753, 172, 820)(106, 754, 171, 819)(107, 755, 174, 822)(109, 757, 178, 826)(110, 758, 115, 763)(111, 759, 181, 829)(113, 761, 185, 833)(116, 764, 189, 837)(119, 767, 195, 843)(120, 768, 197, 845)(121, 769, 198, 846)(122, 770, 193, 841)(124, 772, 203, 851)(125, 773, 204, 852)(128, 776, 209, 857)(130, 778, 212, 860)(131, 779, 213, 861)(133, 781, 217, 865)(134, 782, 216, 864)(135, 783, 219, 867)(137, 785, 223, 871)(139, 787, 226, 874)(141, 789, 230, 878)(143, 791, 233, 881)(145, 793, 237, 885)(146, 794, 236, 884)(147, 795, 239, 887)(149, 797, 242, 890)(151, 799, 246, 894)(154, 802, 250, 898)(155, 803, 252, 900)(156, 804, 248, 896)(157, 805, 254, 902)(160, 808, 260, 908)(161, 809, 262, 910)(162, 810, 263, 911)(163, 811, 258, 906)(165, 813, 268, 916)(166, 814, 269, 917)(169, 817, 275, 923)(170, 818, 276, 924)(173, 821, 281, 929)(175, 823, 285, 933)(176, 824, 284, 932)(177, 825, 287, 935)(179, 827, 290, 938)(180, 828, 292, 940)(182, 830, 295, 943)(183, 831, 294, 942)(184, 832, 297, 945)(186, 834, 301, 949)(187, 835, 273, 921)(188, 836, 304, 952)(190, 838, 308, 956)(191, 839, 307, 955)(192, 840, 310, 958)(194, 842, 313, 961)(196, 844, 317, 965)(199, 847, 321, 969)(200, 848, 323, 971)(201, 849, 319, 967)(202, 850, 325, 973)(205, 853, 331, 979)(206, 854, 333, 981)(207, 855, 334, 982)(208, 856, 329, 977)(210, 858, 339, 987)(211, 859, 340, 988)(214, 862, 346, 994)(215, 863, 347, 995)(218, 866, 352, 1000)(220, 868, 356, 1004)(221, 869, 355, 1003)(222, 870, 358, 1006)(224, 872, 361, 1009)(225, 873, 363, 1011)(227, 875, 366, 1014)(228, 876, 365, 1013)(229, 877, 368, 1016)(231, 879, 372, 1020)(232, 880, 344, 992)(234, 882, 377, 1025)(235, 883, 315, 963)(238, 886, 381, 1029)(240, 888, 328, 976)(241, 889, 318, 966)(243, 891, 364, 1012)(244, 892, 306, 954)(245, 893, 385, 1033)(247, 895, 312, 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1083, 546, 1194)(440, 1088, 550, 1198)(443, 1091, 555, 1203)(448, 1096, 557, 1205)(454, 1102, 560, 1208)(455, 1103, 562, 1210)(457, 1105, 565, 1213)(461, 1109, 568, 1216)(462, 1110, 549, 1197)(464, 1112, 559, 1207)(468, 1116, 554, 1202)(470, 1118, 564, 1212)(471, 1119, 575, 1223)(474, 1122, 551, 1199)(475, 1123, 579, 1227)(481, 1129, 582, 1230)(483, 1131, 584, 1232)(486, 1134, 589, 1237)(489, 1137, 585, 1233)(492, 1140, 586, 1234)(493, 1141, 590, 1238)(494, 1142, 594, 1242)(496, 1144, 596, 1244)(497, 1145, 573, 1221)(498, 1146, 592, 1240)(502, 1150, 595, 1243)(503, 1151, 577, 1225)(506, 1154, 599, 1247)(508, 1156, 571, 1219)(511, 1159, 566, 1214)(513, 1161, 572, 1220)(516, 1164, 561, 1209)(517, 1165, 588, 1236)(519, 1167, 591, 1239)(520, 1168, 587, 1235)(521, 1169, 558, 1206)(522, 1170, 563, 1211)(523, 1171, 547, 1195)(524, 1172, 608, 1256)(526, 1174, 580, 1228)(527, 1175, 553, 1201)(528, 1176, 605, 1253)(530, 1178, 576, 1224)(531, 1179, 604, 1252)(533, 1181, 593, 1241)(537, 1185, 570, 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	L = (1, 1298)(2, 1297)(3, 1303)(4, 1305)(5, 1307)(6, 1309)(7, 1299)(8, 1313)(9, 1300)(10, 1317)(11, 1301)(12, 1320)(13, 1302)(14, 1324)(15, 1323)(16, 1326)(17, 1304)(18, 1330)(19, 1331)(20, 1318)(21, 1306)(22, 1316)(23, 1337)(24, 1308)(25, 1341)(26, 1342)(27, 1311)(28, 1310)(29, 1347)(30, 1312)(31, 1351)(32, 1350)(33, 1353)(34, 1314)(35, 1315)(36, 1359)(37, 1361)(38, 1362)(39, 1357)(40, 1365)(41, 1319)(42, 1369)(43, 1368)(44, 1371)(45, 1321)(46, 1322)(47, 1377)(48, 1379)(49, 1380)(50, 1375)(51, 1325)(52, 1385)(53, 1386)(54, 1328)(55, 1327)(56, 1391)(57, 1329)(58, 1395)(59, 1394)(60, 1397)(61, 1335)(62, 1400)(63, 1332)(64, 1404)(65, 1333)(66, 1334)(67, 1408)(68, 1410)(69, 1336)(70, 1413)(71, 1414)(72, 1339)(73, 1338)(74, 1419)(75, 1340)(76, 1423)(77, 1422)(78, 1425)(79, 1346)(80, 1428)(81, 1343)(82, 1432)(83, 1344)(84, 1345)(85, 1436)(86, 1438)(87, 1434)(88, 1440)(89, 1348)(90, 1349)(91, 1446)(92, 1448)(93, 1449)(94, 1444)(95, 1352)(96, 1454)(97, 1455)(98, 1355)(99, 1354)(100, 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1943)(647, 1942)(648, 1941)(649, 1945)(650, 1946)(651, 1947)(652, 1948)(653, 1949)(654, 1950)(655, 1951)(656, 1952)(657, 1953)(658, 1954)(659, 1955)(660, 1956)(661, 1957)(662, 1958)(663, 1959)(664, 1960)(665, 1961)(666, 1962)(667, 1963)(668, 1964)(669, 1965)(670, 1966)(671, 1967)(672, 1968)(673, 1969)(674, 1970)(675, 1971)(676, 1972)(677, 1973)(678, 1974)(679, 1975)(680, 1976)(681, 1977)(682, 1978)(683, 1979)(684, 1980)(685, 1981)(686, 1982)(687, 1983)(688, 1984)(689, 1985)(690, 1986)(691, 1987)(692, 1988)(693, 1989)(694, 1990)(695, 1991)(696, 1992)(697, 1993)(698, 1994)(699, 1995)(700, 1996)(701, 1997)(702, 1998)(703, 1999)(704, 2000)(705, 2001)(706, 2002)(707, 2003)(708, 2004)(709, 2005)(710, 2006)(711, 2007)(712, 2008)(713, 2009)(714, 2010)(715, 2011)(716, 2012)(717, 2013)(718, 2014)(719, 2015)(720, 2016)(721, 2017)(722, 2018)(723, 2019)(724, 2020)(725, 2021)(726, 2022)(727, 2023)(728, 2024)(729, 2025)(730, 2026)(731, 2027)(732, 2028)(733, 2029)(734, 2030)(735, 2031)(736, 2032)(737, 2033)(738, 2034)(739, 2035)(740, 2036)(741, 2037)(742, 2038)(743, 2039)(744, 2040)(745, 2041)(746, 2042)(747, 2043)(748, 2044)(749, 2045)(750, 2046)(751, 2047)(752, 2048)(753, 2049)(754, 2050)(755, 2051)(756, 2052)(757, 2053)(758, 2054)(759, 2055)(760, 2056)(761, 2057)(762, 2058)(763, 2059)(764, 2060)(765, 2061)(766, 2062)(767, 2063)(768, 2064)(769, 2065)(770, 2066)(771, 2067)(772, 2068)(773, 2069)(774, 2070)(775, 2071)(776, 2072)(777, 2073)(778, 2074)(779, 2075)(780, 2076)(781, 2077)(782, 2078)(783, 2079)(784, 2080)(785, 2081)(786, 2082)(787, 2083)(788, 2084)(789, 2085)(790, 2086)(791, 2087)(792, 2088)(793, 2089)(794, 2090)(795, 2091)(796, 2092)(797, 2093)(798, 2094)(799, 2095)(800, 2096)(801, 2097)(802, 2098)(803, 2099)(804, 2100)(805, 2101)(806, 2102)(807, 2103)(808, 2104)(809, 2105)(810, 2106)(811, 2107)(812, 2108)(813, 2109)(814, 2110)(815, 2111)(816, 2112)(817, 2113)(818, 2114)(819, 2115)(820, 2116)(821, 2117)(822, 2118)(823, 2119)(824, 2120)(825, 2121)(826, 2122)(827, 2123)(828, 2124)(829, 2125)(830, 2126)(831, 2127)(832, 2128)(833, 2129)(834, 2130)(835, 2131)(836, 2132)(837, 2133)(838, 2134)(839, 2135)(840, 2136)(841, 2137)(842, 2138)(843, 2139)(844, 2140)(845, 2141)(846, 2142)(847, 2143)(848, 2144)(849, 2145)(850, 2146)(851, 2147)(852, 2148)(853, 2149)(854, 2150)(855, 2151)(856, 2152)(857, 2153)(858, 2154)(859, 2155)(860, 2156)(861, 2157)(862, 2158)(863, 2159)(864, 2160)(865, 2161)(866, 2162)(867, 2163)(868, 2164)(869, 2165)(870, 2166)(871, 2167)(872, 2168)(873, 2169)(874, 2170)(875, 2171)(876, 2172)(877, 2173)(878, 2174)(879, 2175)(880, 2176)(881, 2177)(882, 2178)(883, 2179)(884, 2180)(885, 2181)(886, 2182)(887, 2183)(888, 2184)(889, 2185)(890, 2186)(891, 2187)(892, 2188)(893, 2189)(894, 2190)(895, 2191)(896, 2192)(897, 2193)(898, 2194)(899, 2195)(900, 2196)(901, 2197)(902, 2198)(903, 2199)(904, 2200)(905, 2201)(906, 2202)(907, 2203)(908, 2204)(909, 2205)(910, 2206)(911, 2207)(912, 2208)(913, 2209)(914, 2210)(915, 2211)(916, 2212)(917, 2213)(918, 2214)(919, 2215)(920, 2216)(921, 2217)(922, 2218)(923, 2219)(924, 2220)(925, 2221)(926, 2222)(927, 2223)(928, 2224)(929, 2225)(930, 2226)(931, 2227)(932, 2228)(933, 2229)(934, 2230)(935, 2231)(936, 2232)(937, 2233)(938, 2234)(939, 2235)(940, 2236)(941, 2237)(942, 2238)(943, 2239)(944, 2240)(945, 2241)(946, 2242)(947, 2243)(948, 2244)(949, 2245)(950, 2246)(951, 2247)(952, 2248)(953, 2249)(954, 2250)(955, 2251)(956, 2252)(957, 2253)(958, 2254)(959, 2255)(960, 2256)(961, 2257)(962, 2258)(963, 2259)(964, 2260)(965, 2261)(966, 2262)(967, 2263)(968, 2264)(969, 2265)(970, 2266)(971, 2267)(972, 2268)(973, 2269)(974, 2270)(975, 2271)(976, 2272)(977, 2273)(978, 2274)(979, 2275)(980, 2276)(981, 2277)(982, 2278)(983, 2279)(984, 2280)(985, 2281)(986, 2282)(987, 2283)(988, 2284)(989, 2285)(990, 2286)(991, 2287)(992, 2288)(993, 2289)(994, 2290)(995, 2291)(996, 2292)(997, 2293)(998, 2294)(999, 2295)(1000, 2296)(1001, 2297)(1002, 2298)(1003, 2299)(1004, 2300)(1005, 2301)(1006, 2302)(1007, 2303)(1008, 2304)(1009, 2305)(1010, 2306)(1011, 2307)(1012, 2308)(1013, 2309)(1014, 2310)(1015, 2311)(1016, 2312)(1017, 2313)(1018, 2314)(1019, 2315)(1020, 2316)(1021, 2317)(1022, 2318)(1023, 2319)(1024, 2320)(1025, 2321)(1026, 2322)(1027, 2323)(1028, 2324)(1029, 2325)(1030, 2326)(1031, 2327)(1032, 2328)(1033, 2329)(1034, 2330)(1035, 2331)(1036, 2332)(1037, 2333)(1038, 2334)(1039, 2335)(1040, 2336)(1041, 2337)(1042, 2338)(1043, 2339)(1044, 2340)(1045, 2341)(1046, 2342)(1047, 2343)(1048, 2344)(1049, 2345)(1050, 2346)(1051, 2347)(1052, 2348)(1053, 2349)(1054, 2350)(1055, 2351)(1056, 2352)(1057, 2353)(1058, 2354)(1059, 2355)(1060, 2356)(1061, 2357)(1062, 2358)(1063, 2359)(1064, 2360)(1065, 2361)(1066, 2362)(1067, 2363)(1068, 2364)(1069, 2365)(1070, 2366)(1071, 2367)(1072, 2368)(1073, 2369)(1074, 2370)(1075, 2371)(1076, 2372)(1077, 2373)(1078, 2374)(1079, 2375)(1080, 2376)(1081, 2377)(1082, 2378)(1083, 2379)(1084, 2380)(1085, 2381)(1086, 2382)(1087, 2383)(1088, 2384)(1089, 2385)(1090, 2386)(1091, 2387)(1092, 2388)(1093, 2389)(1094, 2390)(1095, 2391)(1096, 2392)(1097, 2393)(1098, 2394)(1099, 2395)(1100, 2396)(1101, 2397)(1102, 2398)(1103, 2399)(1104, 2400)(1105, 2401)(1106, 2402)(1107, 2403)(1108, 2404)(1109, 2405)(1110, 2406)(1111, 2407)(1112, 2408)(1113, 2409)(1114, 2410)(1115, 2411)(1116, 2412)(1117, 2413)(1118, 2414)(1119, 2415)(1120, 2416)(1121, 2417)(1122, 2418)(1123, 2419)(1124, 2420)(1125, 2421)(1126, 2422)(1127, 2423)(1128, 2424)(1129, 2425)(1130, 2426)(1131, 2427)(1132, 2428)(1133, 2429)(1134, 2430)(1135, 2431)(1136, 2432)(1137, 2433)(1138, 2434)(1139, 2435)(1140, 2436)(1141, 2437)(1142, 2438)(1143, 2439)(1144, 2440)(1145, 2441)(1146, 2442)(1147, 2443)(1148, 2444)(1149, 2445)(1150, 2446)(1151, 2447)(1152, 2448)(1153, 2449)(1154, 2450)(1155, 2451)(1156, 2452)(1157, 2453)(1158, 2454)(1159, 2455)(1160, 2456)(1161, 2457)(1162, 2458)(1163, 2459)(1164, 2460)(1165, 2461)(1166, 2462)(1167, 2463)(1168, 2464)(1169, 2465)(1170, 2466)(1171, 2467)(1172, 2468)(1173, 2469)(1174, 2470)(1175, 2471)(1176, 2472)(1177, 2473)(1178, 2474)(1179, 2475)(1180, 2476)(1181, 2477)(1182, 2478)(1183, 2479)(1184, 2480)(1185, 2481)(1186, 2482)(1187, 2483)(1188, 2484)(1189, 2485)(1190, 2486)(1191, 2487)(1192, 2488)(1193, 2489)(1194, 2490)(1195, 2491)(1196, 2492)(1197, 2493)(1198, 2494)(1199, 2495)(1200, 2496)(1201, 2497)(1202, 2498)(1203, 2499)(1204, 2500)(1205, 2501)(1206, 2502)(1207, 2503)(1208, 2504)(1209, 2505)(1210, 2506)(1211, 2507)(1212, 2508)(1213, 2509)(1214, 2510)(1215, 2511)(1216, 2512)(1217, 2513)(1218, 2514)(1219, 2515)(1220, 2516)(1221, 2517)(1222, 2518)(1223, 2519)(1224, 2520)(1225, 2521)(1226, 2522)(1227, 2523)(1228, 2524)(1229, 2525)(1230, 2526)(1231, 2527)(1232, 2528)(1233, 2529)(1234, 2530)(1235, 2531)(1236, 2532)(1237, 2533)(1238, 2534)(1239, 2535)(1240, 2536)(1241, 2537)(1242, 2538)(1243, 2539)(1244, 2540)(1245, 2541)(1246, 2542)(1247, 2543)(1248, 2544)(1249, 2545)(1250, 2546)(1251, 2547)(1252, 2548)(1253, 2549)(1254, 2550)(1255, 2551)(1256, 2552)(1257, 2553)(1258, 2554)(1259, 2555)(1260, 2556)(1261, 2557)(1262, 2558)(1263, 2559)(1264, 2560)(1265, 2561)(1266, 2562)(1267, 2563)(1268, 2564)(1269, 2565)(1270, 2566)(1271, 2567)(1272, 2568)(1273, 2569)(1274, 2570)(1275, 2571)(1276, 2572)(1277, 2573)(1278, 2574)(1279, 2575)(1280, 2576)(1281, 2577)(1282, 2578)(1283, 2579)(1284, 2580)(1285, 2581)(1286, 2582)(1287, 2583)(1288, 2584)(1289, 2585)(1290, 2586)(1291, 2587)(1292, 2588)(1293, 2589)(1294, 2590)(1295, 2591)(1296, 2592)
	local type(s) :: { ( 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E28.3330
Graph:: bipartite
	v = 432 e = 1296 f = 810
	degree seq :: [ 4^324, 12^108 ]

E28.3330 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = $<648, 545>$ (small group id <648, 545>)
Aut   = $<1296, 2909>$ (small group id <1296, 2909>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^4, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y3^6, Y3^6, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1)^6, (Y3 * Y2^-1)^6, Y3 * Y1^-1 * Y3^-2 * Y1 * Y3 * Y1^-1 * Y3^3 * Y1 * Y3^-2 * Y1 * Y3^-1 * Y1^-1, Y1^-1 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-2 * Y1^-1 * Y3 * Y1^-1, Y1^-1 * Y3^-2 * Y1 * Y3^2 * Y1^-1 * Y3^-1 * Y1 * Y3^-2 * Y1 * Y3^3 * Y1^-1, Y1^-1 * Y3^-2 * Y1^2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y3^-2 * Y1 * Y3^-1 * Y1^-1, Y3^3 * Y1 * Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1^-2, Y3 * Y1^-1 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-2 * Y1^-2 * Y3^-2 * Y1^-2, Y3^2 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-3 * Y1^-1 * Y3 * Y1^-1 * Y3^-2 * Y1^-1 ]
Map:: polytopal
	R = (1, 649, 2, 650, 6, 654, 4, 652)(3, 651, 9, 657, 21, 669, 11, 659)(5, 653, 13, 661, 18, 666, 7, 655)(8, 656, 19, 667, 33, 681, 15, 663)(10, 658, 23, 671, 47, 695, 25, 673)(12, 660, 16, 664, 34, 682, 28, 676)(14, 662, 31, 679, 58, 706, 29, 677)(17, 665, 36, 684, 69, 717, 38, 686)(20, 668, 42, 690, 77, 725, 40, 688)(22, 670, 45, 693, 82, 730, 43, 691)(24, 672, 49, 697, 92, 740, 50, 698)(26, 674, 44, 692, 83, 731, 53, 701)(27, 675, 54, 702, 100, 748, 55, 703)(30, 678, 59, 707, 75, 723, 39, 687)(32, 680, 62, 710, 114, 762, 64, 712)(35, 683, 68, 716, 122, 770, 66, 714)(37, 685, 71, 719, 130, 778, 72, 720)(41, 689, 78, 726, 120, 768, 65, 713)(46, 694, 87, 735, 155, 803, 85, 733)(48, 696, 90, 738, 160, 808, 88, 736)(51, 699, 89, 737, 161, 809, 96, 744)(52, 700, 97, 745, 175, 823, 98, 746)(56, 704, 67, 715, 123, 771, 104, 752)(57, 705, 105, 753, 188, 836, 107, 755)(60, 708, 111, 759, 196, 844, 109, 757)(61, 709, 112, 760, 194, 842, 108, 756)(63, 711, 116, 764, 206, 854, 117, 765)(70, 718, 128, 776, 224, 872, 126, 774)(73, 721, 127, 775, 225, 873, 134, 782)(74, 722, 135, 783, 239, 887, 136, 784)(76, 724, 138, 786, 243, 891, 140, 788)(79, 727, 144, 792, 251, 899, 142, 790)(80, 728, 145, 793, 249, 897, 141, 789)(81, 729, 147, 795, 257, 905, 149, 797)(84, 732, 153, 801, 265, 913, 151, 799)(86, 734, 156, 804, 263, 911, 150, 798)(91, 739, 165, 813, 285, 933, 163, 811)(93, 741, 168, 816, 290, 938, 166, 814)(94, 742, 167, 815, 291, 939, 171, 819)(95, 743, 172, 820, 299, 947, 173, 821)(99, 747, 152, 800, 213, 861, 143, 791)(101, 749, 181, 829, 311, 959, 179, 827)(102, 750, 180, 828, 312, 960, 184, 832)(103, 751, 185, 833, 320, 968, 186, 834)(106, 754, 190, 838, 328, 976, 191, 839)(110, 758, 187, 835, 219, 867, 137, 785)(113, 761, 201, 849, 344, 992, 199, 847)(115, 763, 204, 852, 348, 996, 202, 850)(118, 766, 203, 851, 349, 997, 210, 858)(119, 767, 211, 859, 363, 1011, 212, 860)(121, 769, 214, 862, 367, 1015, 216, 864)(124, 772, 220, 868, 375, 1023, 218, 866)(125, 773, 221, 869, 373, 1021, 217, 865)(129, 777, 229, 877, 389, 1037, 227, 875)(131, 779, 232, 880, 394, 1042, 230, 878)(132, 780, 231, 879, 395, 1043, 235, 883)(133, 781, 236, 884, 403, 1051, 237, 885)(139, 787, 245, 893, 418, 1066, 246, 894)(146, 794, 256, 904, 434, 1082, 254, 902)(148, 796, 259, 907, 438, 1086, 260, 908)(154, 802, 268, 916, 448, 1096, 270, 918)(157, 805, 274, 922, 454, 1102, 272, 920)(158, 806, 275, 923, 452, 1100, 271, 919)(159, 807, 277, 925, 347, 995, 279, 927)(162, 810, 283, 931, 372, 1020, 281, 929)(164, 812, 286, 934, 374, 1022, 280, 928)(169, 817, 295, 943, 357, 1005, 293, 941)(170, 818, 296, 944, 358, 1006, 297, 945)(174, 822, 282, 930, 442, 1090, 273, 921)(176, 824, 305, 953, 371, 1019, 303, 951)(177, 825, 304, 952, 481, 1129, 308, 956)(178, 826, 252, 900, 430, 1078, 309, 957)(182, 830, 316, 964, 467, 1115, 314, 962)(183, 831, 317, 965, 461, 1109, 318, 966)(189, 837, 326, 974, 368, 1016, 324, 972)(192, 840, 325, 973, 364, 1012, 332, 980)(193, 841, 333, 981, 350, 998, 334, 982)(195, 843, 336, 984, 352, 1000, 338, 986)(197, 845, 340, 988, 497, 1145, 323, 971)(198, 846, 341, 989, 504, 1152, 339, 987)(200, 848, 238, 886, 386, 1034, 335, 983)(205, 853, 353, 1001, 516, 1164, 351, 999)(207, 855, 356, 1004, 520, 1168, 354, 1002)(208, 856, 355, 1003, 521, 1169, 359, 1007)(209, 857, 360, 1008, 525, 1173, 361, 1009)(215, 863, 369, 1017, 535, 1183, 370, 1018)(222, 870, 380, 1028, 546, 1194, 378, 1026)(223, 871, 381, 1029, 310, 958, 383, 1031)(226, 874, 387, 1035, 262, 910, 385, 1033)(228, 876, 390, 1038, 264, 912, 384, 1032)(233, 881, 399, 1047, 276, 924, 397, 1045)(234, 882, 400, 1048, 269, 917, 401, 1049)(240, 888, 409, 1057, 261, 909, 407, 1055)(241, 889, 408, 1056, 566, 1214, 412, 1060)(242, 890, 376, 1024, 542, 1190, 413, 1061)(244, 892, 416, 1064, 258, 906, 414, 1062)(247, 895, 415, 1063, 321, 969, 422, 1070)(248, 896, 423, 1071, 313, 961, 424, 1072)(250, 898, 426, 1074, 315, 963, 428, 1076)(253, 901, 431, 1079, 580, 1228, 429, 1077)(255, 903, 362, 1010, 514, 1162, 425, 1073)(266, 914, 445, 1093, 533, 1181, 366, 1014)(267, 915, 446, 1094, 589, 1237, 444, 1092)(278, 926, 459, 1107, 556, 1204, 396, 1044)(284, 932, 411, 1059, 571, 1219, 462, 1110)(287, 935, 465, 1113, 598, 1246, 463, 1111)(288, 936, 466, 1114, 518, 1166, 392, 1040)(289, 937, 468, 1116, 567, 1215, 417, 1065)(292, 940, 472, 1120, 549, 1197, 470, 1118)(294, 942, 473, 1121, 530, 1178, 469, 1117)(298, 946, 471, 1119, 540, 1188, 464, 1112)(300, 948, 476, 1124, 552, 1200, 391, 1039)(301, 949, 388, 1036, 531, 1179, 479, 1127)(302, 950, 455, 1103, 596, 1244, 480, 1128)(306, 954, 485, 1133, 523, 1171, 483, 1131)(307, 955, 486, 1134, 527, 1175, 487, 1135)(319, 967, 490, 1138, 539, 1187, 379, 1027)(322, 970, 493, 1141, 612, 1260, 496, 1144)(327, 975, 451, 1099, 593, 1241, 482, 1130)(329, 977, 436, 1084, 587, 1235, 447, 1095)(330, 978, 440, 1088, 537, 1185, 420, 1068)(331, 979, 499, 1147, 585, 1233, 433, 1081)(337, 985, 501, 1149, 524, 1172, 502, 1150)(342, 990, 419, 1067, 548, 1196, 506, 1154)(343, 991, 441, 1089, 569, 1217, 509, 1157)(345, 993, 510, 1158, 565, 1213, 406, 1054)(346, 994, 511, 1159, 544, 1192, 439, 1087)(365, 1013, 529, 1177, 624, 1272, 532, 1180)(377, 1025, 543, 1191, 627, 1275, 541, 1189)(382, 1030, 550, 1198, 620, 1268, 522, 1170)(393, 1041, 554, 1202, 498, 1146, 534, 1182)(398, 1046, 558, 1206, 494, 1142, 555, 1203)(402, 1050, 557, 1205, 443, 1091, 553, 1201)(404, 1052, 561, 1209, 503, 1151, 517, 1165)(405, 1053, 515, 1163, 495, 1143, 564, 1212)(410, 1058, 570, 1218, 457, 1105, 568, 1216)(421, 1069, 575, 1223, 631, 1279, 545, 1193)(427, 1075, 577, 1225, 450, 1098, 578, 1226)(432, 1080, 536, 1184, 456, 1104, 582, 1230)(435, 1083, 586, 1234, 623, 1271, 528, 1176)(437, 1085, 519, 1167, 619, 1267, 574, 1222)(449, 1097, 513, 1161, 458, 1106, 592, 1240)(453, 1101, 538, 1186, 484, 1132, 595, 1243)(460, 1108, 576, 1224, 500, 1148, 551, 1199)(474, 1122, 602, 1250, 630, 1278, 601, 1249)(475, 1123, 599, 1247, 622, 1270, 603, 1251)(477, 1125, 606, 1254, 512, 1160, 604, 1252)(478, 1126, 607, 1255, 508, 1156, 608, 1256)(488, 1136, 573, 1221, 628, 1276, 591, 1239)(489, 1137, 581, 1229, 629, 1277, 613, 1261)(491, 1139, 526, 1174, 621, 1269, 579, 1227)(492, 1140, 547, 1195, 632, 1280, 614, 1262)(505, 1153, 583, 1231, 625, 1273, 615, 1263)(507, 1155, 572, 1220, 626, 1274, 590, 1238)(559, 1207, 636, 1284, 594, 1242, 635, 1283)(560, 1208, 634, 1282, 600, 1248, 637, 1285)(562, 1210, 640, 1288, 588, 1236, 638, 1286)(563, 1211, 641, 1289, 584, 1232, 642, 1290)(597, 1245, 633, 1281, 605, 1253, 639, 1287)(609, 1257, 645, 1293, 617, 1265, 648, 1296)(610, 1258, 644, 1292, 616, 1264, 646, 1294)(611, 1259, 643, 1291, 618, 1266, 647, 1295)(1297, 1945)(1298, 1946)(1299, 1947)(1300, 1948)(1301, 1949)(1302, 1950)(1303, 1951)(1304, 1952)(1305, 1953)(1306, 1954)(1307, 1955)(1308, 1956)(1309, 1957)(1310, 1958)(1311, 1959)(1312, 1960)(1313, 1961)(1314, 1962)(1315, 1963)(1316, 1964)(1317, 1965)(1318, 1966)(1319, 1967)(1320, 1968)(1321, 1969)(1322, 1970)(1323, 1971)(1324, 1972)(1325, 1973)(1326, 1974)(1327, 1975)(1328, 1976)(1329, 1977)(1330, 1978)(1331, 1979)(1332, 1980)(1333, 1981)(1334, 1982)(1335, 1983)(1336, 1984)(1337, 1985)(1338, 1986)(1339, 1987)(1340, 1988)(1341, 1989)(1342, 1990)(1343, 1991)(1344, 1992)(1345, 1993)(1346, 1994)(1347, 1995)(1348, 1996)(1349, 1997)(1350, 1998)(1351, 1999)(1352, 2000)(1353, 2001)(1354, 2002)(1355, 2003)(1356, 2004)(1357, 2005)(1358, 2006)(1359, 2007)(1360, 2008)(1361, 2009)(1362, 2010)(1363, 2011)(1364, 2012)(1365, 2013)(1366, 2014)(1367, 2015)(1368, 2016)(1369, 2017)(1370, 2018)(1371, 2019)(1372, 2020)(1373, 2021)(1374, 2022)(1375, 2023)(1376, 2024)(1377, 2025)(1378, 2026)(1379, 2027)(1380, 2028)(1381, 2029)(1382, 2030)(1383, 2031)(1384, 2032)(1385, 2033)(1386, 2034)(1387, 2035)(1388, 2036)(1389, 2037)(1390, 2038)(1391, 2039)(1392, 2040)(1393, 2041)(1394, 2042)(1395, 2043)(1396, 2044)(1397, 2045)(1398, 2046)(1399, 2047)(1400, 2048)(1401, 2049)(1402, 2050)(1403, 2051)(1404, 2052)(1405, 2053)(1406, 2054)(1407, 2055)(1408, 2056)(1409, 2057)(1410, 2058)(1411, 2059)(1412, 2060)(1413, 2061)(1414, 2062)(1415, 2063)(1416, 2064)(1417, 2065)(1418, 2066)(1419, 2067)(1420, 2068)(1421, 2069)(1422, 2070)(1423, 2071)(1424, 2072)(1425, 2073)(1426, 2074)(1427, 2075)(1428, 2076)(1429, 2077)(1430, 2078)(1431, 2079)(1432, 2080)(1433, 2081)(1434, 2082)(1435, 2083)(1436, 2084)(1437, 2085)(1438, 2086)(1439, 2087)(1440, 2088)(1441, 2089)(1442, 2090)(1443, 2091)(1444, 2092)(1445, 2093)(1446, 2094)(1447, 2095)(1448, 2096)(1449, 2097)(1450, 2098)(1451, 2099)(1452, 2100)(1453, 2101)(1454, 2102)(1455, 2103)(1456, 2104)(1457, 2105)(1458, 2106)(1459, 2107)(1460, 2108)(1461, 2109)(1462, 2110)(1463, 2111)(1464, 2112)(1465, 2113)(1466, 2114)(1467, 2115)(1468, 2116)(1469, 2117)(1470, 2118)(1471, 2119)(1472, 2120)(1473, 2121)(1474, 2122)(1475, 2123)(1476, 2124)(1477, 2125)(1478, 2126)(1479, 2127)(1480, 2128)(1481, 2129)(1482, 2130)(1483, 2131)(1484, 2132)(1485, 2133)(1486, 2134)(1487, 2135)(1488, 2136)(1489, 2137)(1490, 2138)(1491, 2139)(1492, 2140)(1493, 2141)(1494, 2142)(1495, 2143)(1496, 2144)(1497, 2145)(1498, 2146)(1499, 2147)(1500, 2148)(1501, 2149)(1502, 2150)(1503, 2151)(1504, 2152)(1505, 2153)(1506, 2154)(1507, 2155)(1508, 2156)(1509, 2157)(1510, 2158)(1511, 2159)(1512, 2160)(1513, 2161)(1514, 2162)(1515, 2163)(1516, 2164)(1517, 2165)(1518, 2166)(1519, 2167)(1520, 2168)(1521, 2169)(1522, 2170)(1523, 2171)(1524, 2172)(1525, 2173)(1526, 2174)(1527, 2175)(1528, 2176)(1529, 2177)(1530, 2178)(1531, 2179)(1532, 2180)(1533, 2181)(1534, 2182)(1535, 2183)(1536, 2184)(1537, 2185)(1538, 2186)(1539, 2187)(1540, 2188)(1541, 2189)(1542, 2190)(1543, 2191)(1544, 2192)(1545, 2193)(1546, 2194)(1547, 2195)(1548, 2196)(1549, 2197)(1550, 2198)(1551, 2199)(1552, 2200)(1553, 2201)(1554, 2202)(1555, 2203)(1556, 2204)(1557, 2205)(1558, 2206)(1559, 2207)(1560, 2208)(1561, 2209)(1562, 2210)(1563, 2211)(1564, 2212)(1565, 2213)(1566, 2214)(1567, 2215)(1568, 2216)(1569, 2217)(1570, 2218)(1571, 2219)(1572, 2220)(1573, 2221)(1574, 2222)(1575, 2223)(1576, 2224)(1577, 2225)(1578, 2226)(1579, 2227)(1580, 2228)(1581, 2229)(1582, 2230)(1583, 2231)(1584, 2232)(1585, 2233)(1586, 2234)(1587, 2235)(1588, 2236)(1589, 2237)(1590, 2238)(1591, 2239)(1592, 2240)(1593, 2241)(1594, 2242)(1595, 2243)(1596, 2244)(1597, 2245)(1598, 2246)(1599, 2247)(1600, 2248)(1601, 2249)(1602, 2250)(1603, 2251)(1604, 2252)(1605, 2253)(1606, 2254)(1607, 2255)(1608, 2256)(1609, 2257)(1610, 2258)(1611, 2259)(1612, 2260)(1613, 2261)(1614, 2262)(1615, 2263)(1616, 2264)(1617, 2265)(1618, 2266)(1619, 2267)(1620, 2268)(1621, 2269)(1622, 2270)(1623, 2271)(1624, 2272)(1625, 2273)(1626, 2274)(1627, 2275)(1628, 2276)(1629, 2277)(1630, 2278)(1631, 2279)(1632, 2280)(1633, 2281)(1634, 2282)(1635, 2283)(1636, 2284)(1637, 2285)(1638, 2286)(1639, 2287)(1640, 2288)(1641, 2289)(1642, 2290)(1643, 2291)(1644, 2292)(1645, 2293)(1646, 2294)(1647, 2295)(1648, 2296)(1649, 2297)(1650, 2298)(1651, 2299)(1652, 2300)(1653, 2301)(1654, 2302)(1655, 2303)(1656, 2304)(1657, 2305)(1658, 2306)(1659, 2307)(1660, 2308)(1661, 2309)(1662, 2310)(1663, 2311)(1664, 2312)(1665, 2313)(1666, 2314)(1667, 2315)(1668, 2316)(1669, 2317)(1670, 2318)(1671, 2319)(1672, 2320)(1673, 2321)(1674, 2322)(1675, 2323)(1676, 2324)(1677, 2325)(1678, 2326)(1679, 2327)(1680, 2328)(1681, 2329)(1682, 2330)(1683, 2331)(1684, 2332)(1685, 2333)(1686, 2334)(1687, 2335)(1688, 2336)(1689, 2337)(1690, 2338)(1691, 2339)(1692, 2340)(1693, 2341)(1694, 2342)(1695, 2343)(1696, 2344)(1697, 2345)(1698, 2346)(1699, 2347)(1700, 2348)(1701, 2349)(1702, 2350)(1703, 2351)(1704, 2352)(1705, 2353)(1706, 2354)(1707, 2355)(1708, 2356)(1709, 2357)(1710, 2358)(1711, 2359)(1712, 2360)(1713, 2361)(1714, 2362)(1715, 2363)(1716, 2364)(1717, 2365)(1718, 2366)(1719, 2367)(1720, 2368)(1721, 2369)(1722, 2370)(1723, 2371)(1724, 2372)(1725, 2373)(1726, 2374)(1727, 2375)(1728, 2376)(1729, 2377)(1730, 2378)(1731, 2379)(1732, 2380)(1733, 2381)(1734, 2382)(1735, 2383)(1736, 2384)(1737, 2385)(1738, 2386)(1739, 2387)(1740, 2388)(1741, 2389)(1742, 2390)(1743, 2391)(1744, 2392)(1745, 2393)(1746, 2394)(1747, 2395)(1748, 2396)(1749, 2397)(1750, 2398)(1751, 2399)(1752, 2400)(1753, 2401)(1754, 2402)(1755, 2403)(1756, 2404)(1757, 2405)(1758, 2406)(1759, 2407)(1760, 2408)(1761, 2409)(1762, 2410)(1763, 2411)(1764, 2412)(1765, 2413)(1766, 2414)(1767, 2415)(1768, 2416)(1769, 2417)(1770, 2418)(1771, 2419)(1772, 2420)(1773, 2421)(1774, 2422)(1775, 2423)(1776, 2424)(1777, 2425)(1778, 2426)(1779, 2427)(1780, 2428)(1781, 2429)(1782, 2430)(1783, 2431)(1784, 2432)(1785, 2433)(1786, 2434)(1787, 2435)(1788, 2436)(1789, 2437)(1790, 2438)(1791, 2439)(1792, 2440)(1793, 2441)(1794, 2442)(1795, 2443)(1796, 2444)(1797, 2445)(1798, 2446)(1799, 2447)(1800, 2448)(1801, 2449)(1802, 2450)(1803, 2451)(1804, 2452)(1805, 2453)(1806, 2454)(1807, 2455)(1808, 2456)(1809, 2457)(1810, 2458)(1811, 2459)(1812, 2460)(1813, 2461)(1814, 2462)(1815, 2463)(1816, 2464)(1817, 2465)(1818, 2466)(1819, 2467)(1820, 2468)(1821, 2469)(1822, 2470)(1823, 2471)(1824, 2472)(1825, 2473)(1826, 2474)(1827, 2475)(1828, 2476)(1829, 2477)(1830, 2478)(1831, 2479)(1832, 2480)(1833, 2481)(1834, 2482)(1835, 2483)(1836, 2484)(1837, 2485)(1838, 2486)(1839, 2487)(1840, 2488)(1841, 2489)(1842, 2490)(1843, 2491)(1844, 2492)(1845, 2493)(1846, 2494)(1847, 2495)(1848, 2496)(1849, 2497)(1850, 2498)(1851, 2499)(1852, 2500)(1853, 2501)(1854, 2502)(1855, 2503)(1856, 2504)(1857, 2505)(1858, 2506)(1859, 2507)(1860, 2508)(1861, 2509)(1862, 2510)(1863, 2511)(1864, 2512)(1865, 2513)(1866, 2514)(1867, 2515)(1868, 2516)(1869, 2517)(1870, 2518)(1871, 2519)(1872, 2520)(1873, 2521)(1874, 2522)(1875, 2523)(1876, 2524)(1877, 2525)(1878, 2526)(1879, 2527)(1880, 2528)(1881, 2529)(1882, 2530)(1883, 2531)(1884, 2532)(1885, 2533)(1886, 2534)(1887, 2535)(1888, 2536)(1889, 2537)(1890, 2538)(1891, 2539)(1892, 2540)(1893, 2541)(1894, 2542)(1895, 2543)(1896, 2544)(1897, 2545)(1898, 2546)(1899, 2547)(1900, 2548)(1901, 2549)(1902, 2550)(1903, 2551)(1904, 2552)(1905, 2553)(1906, 2554)(1907, 2555)(1908, 2556)(1909, 2557)(1910, 2558)(1911, 2559)(1912, 2560)(1913, 2561)(1914, 2562)(1915, 2563)(1916, 2564)(1917, 2565)(1918, 2566)(1919, 2567)(1920, 2568)(1921, 2569)(1922, 2570)(1923, 2571)(1924, 2572)(1925, 2573)(1926, 2574)(1927, 2575)(1928, 2576)(1929, 2577)(1930, 2578)(1931, 2579)(1932, 2580)(1933, 2581)(1934, 2582)(1935, 2583)(1936, 2584)(1937, 2585)(1938, 2586)(1939, 2587)(1940, 2588)(1941, 2589)(1942, 2590)(1943, 2591)(1944, 2592)
	L = (1, 1299)(2, 1303)(3, 1306)(4, 1308)(5, 1297)(6, 1311)(7, 1313)(8, 1298)(9, 1300)(10, 1320)(11, 1322)(12, 1323)(13, 1325)(14, 1301)(15, 1328)(16, 1302)(17, 1333)(18, 1335)(19, 1336)(20, 1304)(21, 1339)(22, 1305)(23, 1307)(24, 1310)(25, 1347)(26, 1348)(27, 1342)(28, 1352)(29, 1353)(30, 1309)(31, 1346)(32, 1359)(33, 1361)(34, 1362)(35, 1312)(36, 1314)(37, 1316)(38, 1369)(39, 1370)(40, 1372)(41, 1315)(42, 1368)(43, 1377)(44, 1317)(45, 1381)(46, 1318)(47, 1384)(48, 1319)(49, 1321)(50, 1390)(51, 1391)(52, 1387)(53, 1395)(54, 1324)(55, 1398)(56, 1399)(57, 1402)(58, 1404)(59, 1405)(60, 1326)(61, 1327)(62, 1329)(63, 1331)(64, 1414)(65, 1415)(66, 1417)(67, 1330)(68, 1413)(69, 1422)(70, 1332)(71, 1334)(72, 1428)(73, 1429)(74, 1425)(75, 1433)(76, 1435)(77, 1437)(78, 1438)(79, 1337)(80, 1338)(81, 1444)(82, 1446)(83, 1447)(84, 1340)(85, 1450)(86, 1341)(87, 1351)(88, 1455)(89, 1343)(90, 1459)(91, 1344)(92, 1462)(93, 1345)(94, 1466)(95, 1465)(96, 1470)(97, 1349)(98, 1473)(99, 1474)(100, 1475)(101, 1350)(102, 1479)(103, 1478)(104, 1483)(105, 1354)(106, 1356)(107, 1488)(108, 1489)(109, 1491)(110, 1355)(111, 1487)(112, 1495)(113, 1357)(114, 1498)(115, 1358)(116, 1360)(117, 1504)(118, 1505)(119, 1501)(120, 1509)(121, 1511)(122, 1513)(123, 1514)(124, 1363)(125, 1364)(126, 1519)(127, 1365)(128, 1523)(129, 1366)(130, 1526)(131, 1367)(132, 1530)(133, 1529)(134, 1534)(135, 1371)(136, 1537)(137, 1538)(138, 1373)(139, 1375)(140, 1543)(141, 1544)(142, 1546)(143, 1374)(144, 1542)(145, 1550)(146, 1376)(147, 1378)(148, 1380)(149, 1557)(150, 1558)(151, 1560)(152, 1379)(153, 1556)(154, 1565)(155, 1567)(156, 1568)(157, 1382)(158, 1383)(159, 1574)(160, 1576)(161, 1577)(162, 1385)(163, 1580)(164, 1386)(165, 1394)(166, 1585)(167, 1388)(168, 1589)(169, 1389)(170, 1409)(171, 1594)(172, 1392)(173, 1597)(174, 1598)(175, 1599)(176, 1393)(177, 1603)(178, 1602)(179, 1606)(180, 1396)(181, 1610)(182, 1397)(183, 1572)(184, 1615)(185, 1400)(186, 1618)(187, 1619)(188, 1620)(189, 1401)(190, 1403)(191, 1626)(192, 1627)(193, 1623)(194, 1631)(195, 1633)(196, 1635)(197, 1406)(198, 1407)(199, 1639)(200, 1408)(201, 1593)(202, 1643)(203, 1410)(204, 1647)(205, 1411)(206, 1650)(207, 1412)(208, 1654)(209, 1653)(210, 1658)(211, 1416)(212, 1661)(213, 1662)(214, 1418)(215, 1420)(216, 1667)(217, 1668)(218, 1670)(219, 1419)(220, 1666)(221, 1674)(222, 1421)(223, 1678)(224, 1680)(225, 1681)(226, 1423)(227, 1684)(228, 1424)(229, 1432)(230, 1689)(231, 1426)(232, 1693)(233, 1427)(234, 1442)(235, 1698)(236, 1430)(237, 1701)(238, 1702)(239, 1703)(240, 1431)(241, 1707)(242, 1706)(243, 1710)(244, 1434)(245, 1436)(246, 1716)(247, 1717)(248, 1713)(249, 1721)(250, 1723)(251, 1725)(252, 1439)(253, 1440)(254, 1729)(255, 1441)(256, 1697)(257, 1712)(258, 1443)(259, 1445)(260, 1736)(261, 1737)(262, 1733)(263, 1738)(264, 1739)(265, 1740)(266, 1448)(267, 1449)(268, 1451)(269, 1453)(270, 1746)(271, 1747)(272, 1749)(273, 1452)(274, 1696)(275, 1695)(276, 1454)(277, 1456)(278, 1458)(279, 1644)(280, 1671)(281, 1669)(282, 1457)(283, 1692)(284, 1757)(285, 1688)(286, 1759)(287, 1460)(288, 1461)(289, 1720)(290, 1765)(291, 1766)(292, 1463)(293, 1657)(294, 1464)(295, 1469)(296, 1467)(297, 1655)(298, 1771)(299, 1687)(300, 1468)(301, 1774)(302, 1773)(303, 1663)(304, 1471)(305, 1779)(306, 1472)(307, 1763)(308, 1784)(309, 1785)(310, 1768)(311, 1722)(312, 1719)(313, 1476)(314, 1783)(315, 1477)(316, 1482)(317, 1480)(318, 1758)(319, 1788)(320, 1711)(321, 1481)(322, 1791)(323, 1790)(324, 1794)(325, 1484)(326, 1778)(327, 1485)(328, 1743)(329, 1486)(330, 1714)(331, 1730)(332, 1769)(333, 1490)(334, 1745)(335, 1796)(336, 1492)(337, 1493)(338, 1799)(339, 1755)(340, 1798)(341, 1802)(342, 1494)(343, 1804)(344, 1735)(345, 1496)(346, 1497)(347, 1809)(348, 1632)(349, 1629)(350, 1499)(351, 1811)(352, 1500)(353, 1508)(354, 1815)(355, 1502)(356, 1591)(357, 1503)(358, 1518)(359, 1820)(360, 1506)(361, 1823)(362, 1824)(363, 1621)(364, 1507)(365, 1827)(366, 1826)(367, 1622)(368, 1510)(369, 1512)(370, 1833)(371, 1834)(372, 1830)(373, 1835)(374, 1836)(375, 1837)(376, 1515)(377, 1516)(378, 1841)(379, 1517)(380, 1592)(381, 1520)(382, 1522)(383, 1607)(384, 1561)(385, 1559)(386, 1521)(387, 1818)(388, 1595)(389, 1814)(390, 1848)(391, 1524)(392, 1525)(393, 1579)(394, 1851)(395, 1852)(396, 1527)(397, 1614)(398, 1528)(399, 1533)(400, 1531)(401, 1566)(402, 1856)(403, 1813)(404, 1532)(405, 1859)(406, 1858)(407, 1553)(408, 1535)(409, 1864)(410, 1536)(411, 1581)(412, 1868)(413, 1869)(414, 1870)(415, 1539)(416, 1863)(417, 1540)(418, 1638)(419, 1541)(420, 1831)(421, 1842)(422, 1854)(423, 1545)(424, 1588)(425, 1872)(426, 1547)(427, 1548)(428, 1875)(429, 1846)(430, 1874)(431, 1878)(432, 1549)(433, 1880)(434, 1625)(435, 1551)(436, 1552)(437, 1554)(438, 1840)(439, 1555)(440, 1624)(441, 1640)(442, 1847)(443, 1562)(444, 1845)(445, 1853)(446, 1883)(447, 1563)(448, 1888)(449, 1564)(450, 1884)(451, 1630)(452, 1866)(453, 1890)(454, 1832)(455, 1569)(456, 1570)(457, 1571)(458, 1573)(459, 1575)(460, 1578)(461, 1583)(462, 1855)(463, 1893)(464, 1582)(465, 1613)(466, 1612)(467, 1584)(468, 1586)(469, 1829)(470, 1885)(471, 1587)(472, 1609)(473, 1897)(474, 1590)(475, 1844)(476, 1900)(477, 1596)(478, 1819)(479, 1828)(480, 1905)(481, 1889)(482, 1600)(483, 1904)(484, 1601)(485, 1605)(486, 1604)(487, 1821)(488, 1907)(489, 1908)(490, 1608)(491, 1611)(492, 1896)(493, 1616)(494, 1617)(495, 1812)(496, 1909)(497, 1911)(498, 1825)(499, 1628)(500, 1810)(501, 1634)(502, 1817)(503, 1901)(504, 1886)(505, 1636)(506, 1899)(507, 1637)(508, 1641)(509, 1906)(510, 1903)(511, 1902)(512, 1642)(513, 1646)(514, 1645)(515, 1699)(516, 1762)(517, 1648)(518, 1649)(519, 1683)(520, 1781)(521, 1916)(522, 1651)(523, 1652)(524, 1808)(525, 1787)(526, 1656)(527, 1770)(528, 1918)(529, 1659)(530, 1660)(531, 1685)(532, 1921)(533, 1922)(534, 1664)(535, 1728)(536, 1665)(537, 1734)(538, 1750)(539, 1756)(540, 1672)(541, 1754)(542, 1767)(543, 1807)(544, 1673)(545, 1926)(546, 1715)(547, 1675)(548, 1676)(549, 1677)(550, 1679)(551, 1682)(552, 1929)(553, 1686)(554, 1690)(555, 1793)(556, 1800)(557, 1691)(558, 1931)(559, 1694)(560, 1752)(561, 1934)(562, 1700)(563, 1753)(564, 1792)(565, 1939)(566, 1764)(567, 1704)(568, 1938)(569, 1705)(570, 1709)(571, 1708)(572, 1941)(573, 1777)(574, 1789)(575, 1718)(576, 1786)(577, 1724)(578, 1744)(579, 1935)(580, 1801)(581, 1726)(582, 1933)(583, 1727)(584, 1731)(585, 1940)(586, 1937)(587, 1936)(588, 1732)(589, 1924)(590, 1741)(591, 1742)(592, 1923)(593, 1748)(594, 1751)(595, 1942)(596, 1932)(597, 1917)(598, 1930)(599, 1760)(600, 1761)(601, 1927)(602, 1782)(603, 1919)(604, 1797)(605, 1772)(606, 1776)(607, 1775)(608, 1805)(609, 1925)(610, 1780)(611, 1928)(612, 1915)(613, 1944)(614, 1943)(615, 1920)(616, 1795)(617, 1803)(618, 1806)(619, 1816)(620, 1876)(621, 1895)(622, 1822)(623, 1913)(624, 1850)(625, 1914)(626, 1862)(627, 1877)(628, 1838)(629, 1839)(630, 1843)(631, 1912)(632, 1898)(633, 1894)(634, 1849)(635, 1891)(636, 1867)(637, 1910)(638, 1873)(639, 1857)(640, 1861)(641, 1860)(642, 1881)(643, 1887)(644, 1865)(645, 1892)(646, 1871)(647, 1879)(648, 1882)(649, 1945)(650, 1946)(651, 1947)(652, 1948)(653, 1949)(654, 1950)(655, 1951)(656, 1952)(657, 1953)(658, 1954)(659, 1955)(660, 1956)(661, 1957)(662, 1958)(663, 1959)(664, 1960)(665, 1961)(666, 1962)(667, 1963)(668, 1964)(669, 1965)(670, 1966)(671, 1967)(672, 1968)(673, 1969)(674, 1970)(675, 1971)(676, 1972)(677, 1973)(678, 1974)(679, 1975)(680, 1976)(681, 1977)(682, 1978)(683, 1979)(684, 1980)(685, 1981)(686, 1982)(687, 1983)(688, 1984)(689, 1985)(690, 1986)(691, 1987)(692, 1988)(693, 1989)(694, 1990)(695, 1991)(696, 1992)(697, 1993)(698, 1994)(699, 1995)(700, 1996)(701, 1997)(702, 1998)(703, 1999)(704, 2000)(705, 2001)(706, 2002)(707, 2003)(708, 2004)(709, 2005)(710, 2006)(711, 2007)(712, 2008)(713, 2009)(714, 2010)(715, 2011)(716, 2012)(717, 2013)(718, 2014)(719, 2015)(720, 2016)(721, 2017)(722, 2018)(723, 2019)(724, 2020)(725, 2021)(726, 2022)(727, 2023)(728, 2024)(729, 2025)(730, 2026)(731, 2027)(732, 2028)(733, 2029)(734, 2030)(735, 2031)(736, 2032)(737, 2033)(738, 2034)(739, 2035)(740, 2036)(741, 2037)(742, 2038)(743, 2039)(744, 2040)(745, 2041)(746, 2042)(747, 2043)(748, 2044)(749, 2045)(750, 2046)(751, 2047)(752, 2048)(753, 2049)(754, 2050)(755, 2051)(756, 2052)(757, 2053)(758, 2054)(759, 2055)(760, 2056)(761, 2057)(762, 2058)(763, 2059)(764, 2060)(765, 2061)(766, 2062)(767, 2063)(768, 2064)(769, 2065)(770, 2066)(771, 2067)(772, 2068)(773, 2069)(774, 2070)(775, 2071)(776, 2072)(777, 2073)(778, 2074)(779, 2075)(780, 2076)(781, 2077)(782, 2078)(783, 2079)(784, 2080)(785, 2081)(786, 2082)(787, 2083)(788, 2084)(789, 2085)(790, 2086)(791, 2087)(792, 2088)(793, 2089)(794, 2090)(795, 2091)(796, 2092)(797, 2093)(798, 2094)(799, 2095)(800, 2096)(801, 2097)(802, 2098)(803, 2099)(804, 2100)(805, 2101)(806, 2102)(807, 2103)(808, 2104)(809, 2105)(810, 2106)(811, 2107)(812, 2108)(813, 2109)(814, 2110)(815, 2111)(816, 2112)(817, 2113)(818, 2114)(819, 2115)(820, 2116)(821, 2117)(822, 2118)(823, 2119)(824, 2120)(825, 2121)(826, 2122)(827, 2123)(828, 2124)(829, 2125)(830, 2126)(831, 2127)(832, 2128)(833, 2129)(834, 2130)(835, 2131)(836, 2132)(837, 2133)(838, 2134)(839, 2135)(840, 2136)(841, 2137)(842, 2138)(843, 2139)(844, 2140)(845, 2141)(846, 2142)(847, 2143)(848, 2144)(849, 2145)(850, 2146)(851, 2147)(852, 2148)(853, 2149)(854, 2150)(855, 2151)(856, 2152)(857, 2153)(858, 2154)(859, 2155)(860, 2156)(861, 2157)(862, 2158)(863, 2159)(864, 2160)(865, 2161)(866, 2162)(867, 2163)(868, 2164)(869, 2165)(870, 2166)(871, 2167)(872, 2168)(873, 2169)(874, 2170)(875, 2171)(876, 2172)(877, 2173)(878, 2174)(879, 2175)(880, 2176)(881, 2177)(882, 2178)(883, 2179)(884, 2180)(885, 2181)(886, 2182)(887, 2183)(888, 2184)(889, 2185)(890, 2186)(891, 2187)(892, 2188)(893, 2189)(894, 2190)(895, 2191)(896, 2192)(897, 2193)(898, 2194)(899, 2195)(900, 2196)(901, 2197)(902, 2198)(903, 2199)(904, 2200)(905, 2201)(906, 2202)(907, 2203)(908, 2204)(909, 2205)(910, 2206)(911, 2207)(912, 2208)(913, 2209)(914, 2210)(915, 2211)(916, 2212)(917, 2213)(918, 2214)(919, 2215)(920, 2216)(921, 2217)(922, 2218)(923, 2219)(924, 2220)(925, 2221)(926, 2222)(927, 2223)(928, 2224)(929, 2225)(930, 2226)(931, 2227)(932, 2228)(933, 2229)(934, 2230)(935, 2231)(936, 2232)(937, 2233)(938, 2234)(939, 2235)(940, 2236)(941, 2237)(942, 2238)(943, 2239)(944, 2240)(945, 2241)(946, 2242)(947, 2243)(948, 2244)(949, 2245)(950, 2246)(951, 2247)(952, 2248)(953, 2249)(954, 2250)(955, 2251)(956, 2252)(957, 2253)(958, 2254)(959, 2255)(960, 2256)(961, 2257)(962, 2258)(963, 2259)(964, 2260)(965, 2261)(966, 2262)(967, 2263)(968, 2264)(969, 2265)(970, 2266)(971, 2267)(972, 2268)(973, 2269)(974, 2270)(975, 2271)(976, 2272)(977, 2273)(978, 2274)(979, 2275)(980, 2276)(981, 2277)(982, 2278)(983, 2279)(984, 2280)(985, 2281)(986, 2282)(987, 2283)(988, 2284)(989, 2285)(990, 2286)(991, 2287)(992, 2288)(993, 2289)(994, 2290)(995, 2291)(996, 2292)(997, 2293)(998, 2294)(999, 2295)(1000, 2296)(1001, 2297)(1002, 2298)(1003, 2299)(1004, 2300)(1005, 2301)(1006, 2302)(1007, 2303)(1008, 2304)(1009, 2305)(1010, 2306)(1011, 2307)(1012, 2308)(1013, 2309)(1014, 2310)(1015, 2311)(1016, 2312)(1017, 2313)(1018, 2314)(1019, 2315)(1020, 2316)(1021, 2317)(1022, 2318)(1023, 2319)(1024, 2320)(1025, 2321)(1026, 2322)(1027, 2323)(1028, 2324)(1029, 2325)(1030, 2326)(1031, 2327)(1032, 2328)(1033, 2329)(1034, 2330)(1035, 2331)(1036, 2332)(1037, 2333)(1038, 2334)(1039, 2335)(1040, 2336)(1041, 2337)(1042, 2338)(1043, 2339)(1044, 2340)(1045, 2341)(1046, 2342)(1047, 2343)(1048, 2344)(1049, 2345)(1050, 2346)(1051, 2347)(1052, 2348)(1053, 2349)(1054, 2350)(1055, 2351)(1056, 2352)(1057, 2353)(1058, 2354)(1059, 2355)(1060, 2356)(1061, 2357)(1062, 2358)(1063, 2359)(1064, 2360)(1065, 2361)(1066, 2362)(1067, 2363)(1068, 2364)(1069, 2365)(1070, 2366)(1071, 2367)(1072, 2368)(1073, 2369)(1074, 2370)(1075, 2371)(1076, 2372)(1077, 2373)(1078, 2374)(1079, 2375)(1080, 2376)(1081, 2377)(1082, 2378)(1083, 2379)(1084, 2380)(1085, 2381)(1086, 2382)(1087, 2383)(1088, 2384)(1089, 2385)(1090, 2386)(1091, 2387)(1092, 2388)(1093, 2389)(1094, 2390)(1095, 2391)(1096, 2392)(1097, 2393)(1098, 2394)(1099, 2395)(1100, 2396)(1101, 2397)(1102, 2398)(1103, 2399)(1104, 2400)(1105, 2401)(1106, 2402)(1107, 2403)(1108, 2404)(1109, 2405)(1110, 2406)(1111, 2407)(1112, 2408)(1113, 2409)(1114, 2410)(1115, 2411)(1116, 2412)(1117, 2413)(1118, 2414)(1119, 2415)(1120, 2416)(1121, 2417)(1122, 2418)(1123, 2419)(1124, 2420)(1125, 2421)(1126, 2422)(1127, 2423)(1128, 2424)(1129, 2425)(1130, 2426)(1131, 2427)(1132, 2428)(1133, 2429)(1134, 2430)(1135, 2431)(1136, 2432)(1137, 2433)(1138, 2434)(1139, 2435)(1140, 2436)(1141, 2437)(1142, 2438)(1143, 2439)(1144, 2440)(1145, 2441)(1146, 2442)(1147, 2443)(1148, 2444)(1149, 2445)(1150, 2446)(1151, 2447)(1152, 2448)(1153, 2449)(1154, 2450)(1155, 2451)(1156, 2452)(1157, 2453)(1158, 2454)(1159, 2455)(1160, 2456)(1161, 2457)(1162, 2458)(1163, 2459)(1164, 2460)(1165, 2461)(1166, 2462)(1167, 2463)(1168, 2464)(1169, 2465)(1170, 2466)(1171, 2467)(1172, 2468)(1173, 2469)(1174, 2470)(1175, 2471)(1176, 2472)(1177, 2473)(1178, 2474)(1179, 2475)(1180, 2476)(1181, 2477)(1182, 2478)(1183, 2479)(1184, 2480)(1185, 2481)(1186, 2482)(1187, 2483)(1188, 2484)(1189, 2485)(1190, 2486)(1191, 2487)(1192, 2488)(1193, 2489)(1194, 2490)(1195, 2491)(1196, 2492)(1197, 2493)(1198, 2494)(1199, 2495)(1200, 2496)(1201, 2497)(1202, 2498)(1203, 2499)(1204, 2500)(1205, 2501)(1206, 2502)(1207, 2503)(1208, 2504)(1209, 2505)(1210, 2506)(1211, 2507)(1212, 2508)(1213, 2509)(1214, 2510)(1215, 2511)(1216, 2512)(1217, 2513)(1218, 2514)(1219, 2515)(1220, 2516)(1221, 2517)(1222, 2518)(1223, 2519)(1224, 2520)(1225, 2521)(1226, 2522)(1227, 2523)(1228, 2524)(1229, 2525)(1230, 2526)(1231, 2527)(1232, 2528)(1233, 2529)(1234, 2530)(1235, 2531)(1236, 2532)(1237, 2533)(1238, 2534)(1239, 2535)(1240, 2536)(1241, 2537)(1242, 2538)(1243, 2539)(1244, 2540)(1245, 2541)(1246, 2542)(1247, 2543)(1248, 2544)(1249, 2545)(1250, 2546)(1251, 2547)(1252, 2548)(1253, 2549)(1254, 2550)(1255, 2551)(1256, 2552)(1257, 2553)(1258, 2554)(1259, 2555)(1260, 2556)(1261, 2557)(1262, 2558)(1263, 2559)(1264, 2560)(1265, 2561)(1266, 2562)(1267, 2563)(1268, 2564)(1269, 2565)(1270, 2566)(1271, 2567)(1272, 2568)(1273, 2569)(1274, 2570)(1275, 2571)(1276, 2572)(1277, 2573)(1278, 2574)(1279, 2575)(1280, 2576)(1281, 2577)(1282, 2578)(1283, 2579)(1284, 2580)(1285, 2581)(1286, 2582)(1287, 2583)(1288, 2584)(1289, 2585)(1290, 2586)(1291, 2587)(1292, 2588)(1293, 2589)(1294, 2590)(1295, 2591)(1296, 2592)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3329
Graph:: simple bipartite
	v = 810 e = 1296 f = 432
	degree seq :: [ 2^648, 8^162 ]

E28.3331 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 3, 12})
Quotient :: regular
Aut^+ = $<648, 262>$ (small group id <648, 262>)
Aut   = $<1296, 1786>$ (small group id <1296, 1786>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1 * T2)^3, T1^12, (T2 * T1^-2 * T2 * T1^5)^2, (T2 * T1^-5)^3, T2 * T1^3 * T2 * T1^3 * T2 * T1^2 * T2 * T1^-3 * T2 * T1^-3 * T2 * T1^-2, T2 * T1 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-2, T2 * T1^4 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-4 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 11, 21, 37, 63, 62, 36, 20, 10, 4)(3, 7, 15, 27, 47, 79, 129, 91, 54, 31, 17, 8)(6, 13, 25, 43, 73, 119, 192, 128, 78, 46, 26, 14)(9, 18, 32, 55, 92, 149, 226, 141, 86, 51, 29, 16)(12, 23, 41, 69, 113, 182, 289, 191, 118, 72, 42, 24)(19, 34, 58, 97, 157, 250, 383, 249, 156, 96, 57, 33)(22, 39, 67, 109, 176, 279, 417, 288, 181, 112, 68, 40)(28, 49, 83, 135, 216, 339, 403, 271, 221, 138, 84, 50)(30, 52, 87, 142, 227, 354, 404, 315, 199, 123, 75, 44)(35, 60, 100, 162, 258, 392, 430, 290, 257, 161, 99, 59)(38, 65, 107, 172, 273, 225, 352, 416, 278, 175, 108, 66)(45, 76, 124, 200, 316, 264, 400, 439, 296, 186, 115, 70)(48, 81, 133, 212, 333, 463, 552, 488, 338, 215, 134, 82)(53, 89, 145, 232, 362, 476, 551, 489, 361, 231, 144, 88)(56, 94, 153, 243, 376, 407, 270, 174, 276, 246, 154, 95)(61, 102, 165, 263, 398, 428, 306, 193, 305, 262, 164, 101)(64, 105, 170, 269, 236, 148, 237, 369, 409, 272, 171, 106)(71, 116, 187, 297, 261, 163, 260, 396, 422, 283, 178, 110)(74, 121, 196, 309, 454, 588, 478, 331, 459, 312, 197, 122)(77, 126, 203, 321, 471, 600, 508, 355, 470, 320, 202, 125)(80, 131, 210, 323, 204, 127, 205, 324, 475, 332, 211, 132)(85, 139, 222, 348, 501, 368, 406, 553, 495, 343, 218, 136)(90, 147, 235, 367, 520, 371, 240, 150, 239, 366, 234, 146)(93, 151, 241, 372, 500, 347, 408, 554, 526, 375, 242, 152)(98, 159, 254, 388, 412, 275, 173, 111, 179, 284, 255, 160)(103, 167, 266, 401, 448, 303, 209, 130, 208, 329, 265, 166)(104, 168, 267, 402, 325, 206, 326, 238, 370, 405, 268, 169)(114, 184, 293, 433, 579, 549, 397, 452, 584, 436, 294, 185)(117, 189, 300, 444, 595, 550, 399, 464, 594, 443, 299, 188)(120, 194, 307, 446, 301, 190, 302, 447, 599, 453, 308, 195)(137, 219, 344, 496, 365, 233, 364, 518, 568, 483, 335, 213)(140, 224, 351, 506, 618, 537, 385, 251, 384, 505, 350, 223)(143, 229, 358, 511, 557, 479, 330, 214, 336, 484, 359, 230)(155, 247, 381, 534, 556, 411, 274, 410, 555, 530, 378, 244)(158, 252, 386, 538, 558, 413, 277, 414, 559, 541, 387, 253)(177, 281, 419, 563, 543, 389, 256, 391, 545, 566, 420, 282)(180, 286, 425, 572, 548, 395, 259, 394, 547, 571, 424, 285)(183, 291, 431, 574, 426, 287, 427, 575, 497, 578, 432, 292)(198, 313, 460, 610, 474, 322, 473, 623, 542, 605, 456, 310)(201, 318, 467, 616, 527, 601, 451, 311, 457, 606, 468, 319)(207, 327, 429, 576, 507, 353, 450, 304, 449, 561, 477, 328)(217, 341, 492, 564, 421, 567, 519, 374, 524, 573, 493, 342)(220, 346, 499, 590, 440, 589, 521, 630, 647, 628, 498, 345)(228, 356, 509, 565, 638, 609, 480, 570, 423, 569, 510, 357)(245, 379, 531, 620, 504, 349, 503, 586, 438, 587, 523, 373)(248, 280, 418, 562, 513, 560, 415, 393, 546, 611, 536, 382)(295, 437, 585, 540, 598, 445, 597, 529, 377, 528, 581, 434)(298, 441, 591, 491, 340, 490, 577, 435, 582, 487, 592, 442)(314, 462, 613, 539, 390, 544, 624, 515, 633, 535, 612, 461)(317, 465, 614, 636, 648, 644, 602, 532, 380, 533, 615, 466)(334, 481, 580, 642, 632, 512, 360, 514, 593, 645, 625, 482)(337, 486, 583, 643, 634, 517, 363, 516, 596, 646, 626, 485)(455, 603, 637, 627, 494, 617, 469, 619, 640, 629, 522, 604)(458, 608, 639, 631, 502, 622, 472, 621, 641, 635, 525, 607)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 13)(10, 19)(11, 22)(14, 23)(15, 28)(17, 30)(18, 33)(20, 35)(21, 38)(24, 39)(25, 44)(26, 45)(27, 48)(29, 49)(31, 53)(32, 56)(34, 59)(36, 61)(37, 64)(40, 65)(41, 70)(42, 71)(43, 74)(46, 77)(47, 80)(50, 81)(51, 85)(52, 88)(54, 90)(55, 93)(57, 94)(58, 98)(60, 101)(62, 103)(63, 104)(66, 105)(67, 110)(68, 111)(69, 114)(72, 117)(73, 120)(75, 121)(76, 125)(78, 127)(79, 130)(82, 131)(83, 136)(84, 137)(86, 140)(87, 143)(89, 146)(91, 148)(92, 150)(95, 151)(96, 155)(97, 158)(99, 159)(100, 163)(102, 166)(106, 168)(107, 173)(108, 174)(109, 177)(112, 180)(113, 183)(115, 184)(116, 188)(118, 190)(119, 193)(122, 194)(123, 198)(124, 201)(126, 204)(128, 206)(129, 207)(132, 208)(133, 213)(134, 214)(135, 217)(138, 220)(139, 223)(141, 225)(142, 228)(144, 229)(145, 233)(147, 236)(149, 238)(152, 239)(153, 244)(154, 245)(156, 248)(157, 251)(160, 252)(161, 256)(162, 259)(164, 260)(165, 264)(167, 169)(170, 270)(171, 271)(172, 274)(175, 277)(176, 280)(178, 281)(179, 285)(181, 287)(182, 290)(185, 291)(186, 295)(187, 298)(189, 301)(191, 303)(192, 304)(195, 305)(196, 310)(197, 311)(199, 314)(200, 317)(202, 318)(203, 322)(205, 325)(209, 327)(210, 330)(211, 331)(212, 334)(215, 337)(216, 340)(218, 341)(219, 345)(221, 347)(222, 349)(224, 273)(226, 353)(227, 355)(230, 356)(231, 360)(232, 363)(234, 364)(235, 368)(237, 328)(240, 370)(241, 373)(242, 374)(243, 377)(246, 380)(247, 382)(249, 279)(250, 369)(253, 384)(254, 389)(255, 390)(257, 292)(258, 393)(261, 394)(262, 397)(263, 399)(265, 400)(266, 354)(267, 403)(268, 404)(269, 406)(272, 408)(275, 410)(276, 413)(278, 415)(282, 418)(283, 421)(284, 423)(286, 426)(288, 428)(289, 429)(293, 434)(294, 435)(296, 438)(297, 440)(299, 441)(300, 445)(302, 448)(306, 449)(307, 451)(308, 452)(309, 455)(312, 458)(313, 461)(315, 463)(316, 464)(319, 465)(320, 469)(321, 472)(323, 473)(324, 476)(326, 450)(329, 478)(332, 480)(333, 462)(335, 481)(336, 485)(338, 487)(339, 489)(342, 490)(343, 494)(344, 497)(346, 500)(348, 502)(350, 503)(351, 411)(352, 507)(357, 470)(358, 512)(359, 513)(361, 491)(362, 515)(365, 516)(366, 519)(367, 521)(371, 488)(372, 522)(375, 525)(376, 527)(378, 528)(379, 532)(381, 535)(383, 477)(385, 409)(386, 539)(387, 540)(388, 542)(391, 432)(392, 416)(395, 546)(396, 549)(398, 427)(401, 508)(402, 551)(405, 552)(407, 553)(412, 557)(414, 560)(417, 561)(419, 564)(420, 565)(422, 568)(424, 569)(425, 573)(430, 576)(431, 577)(433, 580)(436, 583)(437, 586)(439, 588)(442, 589)(443, 593)(444, 596)(446, 597)(447, 600)(453, 602)(454, 587)(456, 603)(457, 607)(459, 609)(460, 611)(466, 594)(467, 617)(468, 618)(471, 620)(474, 621)(475, 624)(479, 623)(482, 613)(483, 579)(484, 559)(486, 582)(492, 627)(493, 574)(495, 616)(496, 595)(498, 578)(499, 629)(501, 630)(504, 622)(505, 585)(506, 614)(509, 562)(510, 619)(511, 555)(514, 591)(517, 633)(518, 567)(520, 592)(523, 604)(524, 635)(526, 606)(529, 601)(530, 632)(531, 599)(533, 558)(534, 634)(536, 612)(537, 554)(538, 625)(541, 626)(543, 605)(544, 570)(545, 628)(547, 590)(548, 610)(550, 575)(556, 636)(563, 637)(566, 639)(571, 640)(572, 641)(581, 642)(584, 644)(598, 646)(608, 638)(615, 645)(631, 647)(643, 648)
	local type(s) :: { ( 3^12 ) }
Outer automorphisms :: reflexible
Dual of E28.3332
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 54 e = 324 f = 216
	degree seq :: [ 12^54 ]

E28.3332 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 3, 12})
Quotient :: regular
Aut^+ = $<648, 262>$ (small group id <648, 262>)
Aut   = $<1296, 1786>$ (small group id <1296, 1786>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^3, (F * T1)^2, (F * T2)^2, (T2 * T1)^12, T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1, (T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1)^3, (T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1)^2 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 4)(3, 6, 7)(5, 9, 10)(8, 13, 14)(11, 17, 18)(12, 19, 20)(15, 23, 24)(16, 25, 26)(21, 31, 32)(22, 33, 34)(27, 39, 40)(28, 41, 42)(29, 43, 44)(30, 45, 46)(35, 51, 52)(36, 53, 54)(37, 55, 56)(38, 57, 58)(47, 67, 68)(48, 69, 70)(49, 71, 72)(50, 73, 74)(59, 83, 84)(60, 85, 86)(61, 87, 88)(62, 89, 90)(63, 91, 92)(64, 93, 94)(65, 95, 96)(66, 97, 98)(75, 107, 108)(76, 109, 110)(77, 111, 112)(78, 113, 114)(79, 115, 116)(80, 117, 118)(81, 119, 120)(82, 121, 122)(99, 139, 140)(100, 141, 142)(101, 143, 144)(102, 145, 146)(103, 147, 148)(104, 149, 150)(105, 151, 152)(106, 153, 154)(123, 171, 172)(124, 173, 174)(125, 175, 176)(126, 177, 178)(127, 179, 180)(128, 181, 182)(129, 183, 184)(130, 185, 186)(131, 187, 188)(132, 189, 190)(133, 191, 192)(134, 193, 194)(135, 195, 196)(136, 197, 198)(137, 199, 200)(138, 201, 202)(155, 219, 220)(156, 221, 222)(157, 223, 224)(158, 225, 226)(159, 227, 228)(160, 229, 230)(161, 231, 232)(162, 233, 234)(163, 235, 236)(164, 237, 238)(165, 239, 240)(166, 241, 242)(167, 243, 244)(168, 245, 246)(169, 247, 248)(170, 249, 250)(203, 283, 284)(204, 285, 286)(205, 287, 288)(206, 289, 290)(207, 291, 292)(208, 293, 294)(209, 295, 296)(210, 297, 298)(211, 299, 300)(212, 301, 302)(213, 303, 304)(214, 305, 306)(215, 307, 308)(216, 309, 310)(217, 311, 312)(218, 313, 314)(251, 435, 515)(252, 437, 629)(253, 428, 351)(254, 441, 362)(255, 481, 416)(256, 468, 539)(257, 483, 602)(258, 485, 466)(259, 486, 523)(260, 465, 365)(261, 455, 510)(262, 475, 638)(263, 360, 345)(264, 391, 591)(265, 453, 448)(266, 366, 390)(267, 491, 642)(268, 476, 444)(269, 356, 389)(270, 449, 419)(271, 493, 430)(272, 470, 522)(273, 495, 447)(274, 402, 549)(275, 497, 604)(276, 499, 422)(277, 500, 511)(278, 502, 463)(279, 417, 322)(280, 341, 452)(281, 410, 622)(282, 423, 340)(315, 529, 531)(316, 532, 534)(317, 473, 536)(318, 537, 482)(319, 526, 509)(320, 521, 404)(321, 429, 543)(323, 427, 436)(324, 398, 546)(325, 477, 454)(326, 469, 387)(327, 373, 501)(328, 397, 494)(329, 550, 551)(330, 552, 367)(331, 383, 555)(332, 372, 556)(333, 557, 558)(334, 559, 377)(335, 357, 440)(336, 415, 471)(337, 382, 562)(338, 496, 563)(339, 488, 358)(342, 355, 458)(343, 464, 478)(344, 446, 392)(346, 414, 512)(347, 438, 517)(348, 407, 349)(350, 403, 462)(352, 363, 418)(353, 516, 527)(354, 505, 409)(359, 480, 577)(361, 424, 432)(364, 506, 457)(368, 583, 585)(369, 375, 384)(370, 587, 588)(371, 589, 490)(374, 394, 400)(376, 576, 595)(378, 596, 598)(379, 385, 399)(380, 600, 601)(381, 489, 578)(386, 581, 605)(388, 607, 443)(393, 609, 528)(395, 612, 610)(396, 613, 567)(401, 570, 617)(405, 619, 504)(406, 533, 616)(408, 593, 413)(411, 420, 431)(412, 623, 614)(421, 467, 611)(425, 507, 597)(426, 599, 513)(433, 460, 508)(434, 554, 472)(439, 538, 594)(442, 632, 479)(445, 633, 590)(450, 520, 530)(451, 584, 518)(456, 525, 634)(459, 519, 586)(461, 474, 636)(484, 637, 641)(487, 540, 627)(492, 561, 635)(498, 541, 580)(503, 644, 582)(514, 524, 646)(535, 572, 624)(542, 565, 645)(544, 639, 566)(545, 569, 621)(547, 625, 573)(548, 575, 631)(553, 592, 643)(560, 603, 640)(564, 615, 647)(568, 620, 618)(571, 626, 648)(574, 630, 628)(579, 608, 606)
	L = (1, 3)(2, 5)(4, 8)(6, 11)(7, 12)(9, 15)(10, 16)(13, 21)(14, 22)(17, 27)(18, 28)(19, 29)(20, 30)(23, 35)(24, 36)(25, 37)(26, 38)(31, 47)(32, 48)(33, 49)(34, 50)(39, 59)(40, 60)(41, 61)(42, 62)(43, 63)(44, 64)(45, 65)(46, 66)(51, 75)(52, 76)(53, 77)(54, 78)(55, 79)(56, 80)(57, 81)(58, 82)(67, 99)(68, 100)(69, 101)(70, 102)(71, 103)(72, 104)(73, 105)(74, 106)(83, 123)(84, 124)(85, 125)(86, 126)(87, 127)(88, 128)(89, 129)(90, 130)(91, 131)(92, 132)(93, 133)(94, 134)(95, 135)(96, 136)(97, 137)(98, 138)(107, 155)(108, 156)(109, 157)(110, 158)(111, 159)(112, 160)(113, 161)(114, 162)(115, 163)(116, 164)(117, 165)(118, 166)(119, 167)(120, 168)(121, 169)(122, 170)(139, 203)(140, 204)(141, 205)(142, 206)(143, 207)(144, 208)(145, 209)(146, 210)(147, 211)(148, 212)(149, 213)(150, 214)(151, 215)(152, 216)(153, 217)(154, 218)(171, 251)(172, 252)(173, 253)(174, 254)(175, 255)(176, 256)(177, 257)(178, 258)(179, 259)(180, 260)(181, 261)(182, 262)(183, 263)(184, 264)(185, 265)(186, 266)(187, 267)(188, 268)(189, 269)(190, 270)(191, 271)(192, 272)(193, 273)(194, 274)(195, 275)(196, 276)(197, 277)(198, 278)(199, 279)(200, 280)(201, 281)(202, 282)(219, 340)(220, 443)(221, 415)(222, 446)(223, 448)(224, 450)(225, 412)(226, 451)(227, 402)(228, 438)(229, 455)(230, 456)(231, 458)(232, 413)(233, 460)(234, 349)(235, 321)(236, 463)(237, 465)(238, 364)(239, 468)(240, 470)(241, 391)(242, 472)(243, 406)(244, 474)(245, 475)(246, 431)(247, 477)(248, 428)(249, 479)(250, 403)(283, 350)(284, 504)(285, 452)(286, 505)(287, 433)(288, 430)(289, 445)(290, 507)(291, 434)(292, 389)(293, 510)(294, 511)(295, 418)(296, 447)(297, 481)(298, 335)(299, 317)(300, 420)(301, 517)(302, 346)(303, 520)(304, 522)(305, 408)(306, 523)(307, 439)(308, 524)(309, 525)(310, 476)(311, 526)(312, 471)(313, 528)(314, 435)(315, 497)(316, 533)(318, 538)(319, 540)(320, 541)(322, 544)(323, 545)(324, 486)(325, 547)(326, 548)(327, 549)(328, 461)(329, 459)(330, 553)(331, 554)(332, 514)(333, 513)(334, 560)(336, 561)(337, 422)(338, 421)(339, 564)(341, 565)(342, 566)(343, 567)(344, 568)(345, 569)(347, 386)(348, 571)(351, 572)(352, 573)(353, 490)(354, 574)(355, 575)(356, 401)(357, 484)(358, 466)(359, 491)(360, 487)(361, 578)(362, 579)(363, 580)(365, 376)(366, 582)(367, 518)(368, 429)(369, 586)(370, 409)(371, 590)(372, 592)(373, 405)(374, 593)(375, 594)(377, 425)(378, 473)(379, 599)(380, 441)(381, 602)(382, 603)(383, 437)(384, 495)(385, 604)(387, 606)(388, 398)(390, 480)(392, 395)(393, 529)(394, 611)(396, 614)(397, 615)(399, 591)(400, 616)(404, 618)(407, 583)(410, 532)(411, 613)(414, 620)(416, 496)(417, 498)(419, 612)(423, 598)(424, 605)(426, 601)(427, 626)(432, 627)(436, 628)(440, 596)(442, 537)(444, 589)(449, 630)(453, 550)(454, 621)(457, 587)(462, 577)(464, 617)(467, 610)(469, 637)(478, 639)(482, 640)(483, 556)(485, 570)(488, 607)(489, 502)(492, 493)(494, 633)(499, 563)(500, 624)(501, 609)(503, 521)(506, 608)(508, 557)(509, 631)(512, 600)(515, 585)(516, 595)(519, 588)(527, 625)(530, 535)(531, 647)(534, 643)(536, 648)(539, 542)(543, 644)(546, 632)(551, 636)(552, 619)(555, 622)(558, 646)(559, 629)(562, 623)(576, 584)(581, 597)(634, 645)(635, 638)(641, 642)
	local type(s) :: { ( 12^3 ) }
Outer automorphisms :: reflexible
Dual of E28.3331
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 216 e = 324 f = 54
	degree seq :: [ 3^216 ]

E28.3333 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 12})
Quotient :: edge
Aut^+ = $<648, 262>$ (small group id <648, 262>)
Aut   = $<1296, 1786>$ (small group id <1296, 1786>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^3, (F * T1)^2, (F * T2)^2, (T1 * T2^-1)^12, (T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1)^3, T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 ]
Map:: polytopal
	R = (1, 3, 4)(2, 5, 6)(7, 11, 12)(8, 13, 14)(9, 15, 16)(10, 17, 18)(19, 27, 28)(20, 29, 30)(21, 31, 32)(22, 33, 34)(23, 35, 36)(24, 37, 38)(25, 39, 40)(26, 41, 42)(43, 59, 60)(44, 61, 62)(45, 63, 64)(46, 65, 66)(47, 67, 68)(48, 69, 70)(49, 71, 72)(50, 73, 74)(51, 75, 76)(52, 77, 78)(53, 79, 80)(54, 81, 82)(55, 83, 84)(56, 85, 86)(57, 87, 88)(58, 89, 90)(91, 123, 124)(92, 125, 126)(93, 127, 128)(94, 129, 130)(95, 131, 132)(96, 133, 134)(97, 135, 136)(98, 137, 138)(99, 139, 140)(100, 141, 142)(101, 143, 144)(102, 145, 146)(103, 147, 148)(104, 149, 150)(105, 151, 152)(106, 153, 154)(107, 155, 156)(108, 157, 158)(109, 159, 160)(110, 161, 162)(111, 163, 164)(112, 165, 166)(113, 167, 168)(114, 169, 170)(115, 171, 172)(116, 173, 174)(117, 175, 176)(118, 177, 178)(119, 179, 180)(120, 181, 182)(121, 183, 184)(122, 185, 186)(187, 251, 252)(188, 253, 254)(189, 255, 256)(190, 257, 258)(191, 259, 260)(192, 261, 262)(193, 263, 264)(194, 265, 266)(195, 267, 268)(196, 269, 270)(197, 271, 272)(198, 273, 274)(199, 275, 276)(200, 277, 278)(201, 279, 280)(202, 281, 282)(203, 283, 284)(204, 285, 286)(205, 287, 288)(206, 289, 290)(207, 291, 292)(208, 293, 294)(209, 295, 296)(210, 297, 298)(211, 299, 300)(212, 301, 302)(213, 303, 304)(214, 305, 306)(215, 307, 308)(216, 309, 310)(217, 311, 312)(218, 313, 314)(219, 402, 397)(220, 376, 575)(221, 404, 369)(222, 405, 603)(223, 328, 499)(224, 377, 324)(225, 408, 401)(226, 325, 497)(227, 410, 481)(228, 412, 607)(229, 340, 327)(230, 414, 450)(231, 366, 568)(232, 416, 368)(233, 417, 442)(234, 353, 540)(235, 420, 616)(236, 338, 524)(237, 423, 375)(238, 424, 542)(239, 323, 470)(240, 339, 326)(241, 426, 474)(242, 321, 495)(243, 429, 619)(244, 393, 379)(245, 370, 322)(246, 431, 454)(247, 372, 571)(248, 434, 374)(249, 435, 621)(250, 358, 383)(315, 487, 488)(316, 489, 457)(317, 491, 492)(318, 493, 494)(319, 469, 473)(320, 443, 460)(329, 501, 503)(330, 504, 445)(331, 506, 508)(332, 509, 472)(333, 511, 513)(334, 514, 516)(335, 517, 519)(336, 520, 522)(337, 523, 476)(341, 512, 468)(342, 527, 528)(343, 502, 529)(344, 530, 407)(345, 415, 532)(346, 421, 534)(347, 525, 536)(348, 537, 538)(349, 539, 419)(350, 541, 425)(351, 432, 544)(352, 482, 382)(354, 387, 550)(355, 390, 458)(356, 466, 554)(357, 556, 462)(359, 559, 389)(360, 561, 392)(361, 398, 564)(362, 565, 409)(363, 507, 547)(364, 555, 566)(365, 430, 567)(367, 570, 384)(371, 518, 456)(373, 465, 573)(378, 396, 578)(380, 515, 453)(381, 399, 581)(385, 584, 486)(386, 394, 463)(388, 587, 588)(391, 531, 475)(395, 440, 596)(400, 599, 600)(403, 505, 577)(406, 433, 579)(411, 606, 562)(413, 427, 609)(418, 613, 592)(422, 549, 526)(428, 576, 618)(436, 583, 598)(437, 459, 623)(438, 615, 449)(439, 485, 447)(441, 624, 626)(444, 627, 628)(446, 451, 480)(448, 478, 629)(452, 533, 479)(455, 631, 461)(464, 483, 636)(467, 638, 614)(471, 639, 641)(477, 642, 484)(490, 569, 601)(496, 637, 589)(498, 644, 635)(500, 574, 580)(510, 634, 622)(521, 646, 648)(535, 610, 645)(543, 604, 608)(545, 590, 594)(546, 602, 643)(548, 552, 558)(551, 605, 612)(553, 586, 640)(557, 617, 630)(560, 620, 595)(563, 582, 585)(572, 593, 632)(591, 625, 633)(597, 611, 647)(649, 650)(651, 655)(652, 656)(653, 657)(654, 658)(659, 667)(660, 668)(661, 669)(662, 670)(663, 671)(664, 672)(665, 673)(666, 674)(675, 691)(676, 692)(677, 693)(678, 694)(679, 695)(680, 696)(681, 697)(682, 698)(683, 699)(684, 700)(685, 701)(686, 702)(687, 703)(688, 704)(689, 705)(690, 706)(707, 739)(708, 740)(709, 741)(710, 742)(711, 743)(712, 744)(713, 745)(714, 746)(715, 747)(716, 748)(717, 749)(718, 750)(719, 751)(720, 752)(721, 753)(722, 754)(723, 755)(724, 756)(725, 757)(726, 758)(727, 759)(728, 760)(729, 761)(730, 762)(731, 763)(732, 764)(733, 765)(734, 766)(735, 767)(736, 768)(737, 769)(738, 770)(771, 835)(772, 836)(773, 837)(774, 838)(775, 839)(776, 840)(777, 841)(778, 842)(779, 843)(780, 844)(781, 845)(782, 846)(783, 847)(784, 848)(785, 849)(786, 850)(787, 851)(788, 852)(789, 853)(790, 854)(791, 855)(792, 856)(793, 857)(794, 858)(795, 859)(796, 860)(797, 861)(798, 862)(799, 863)(800, 864)(801, 865)(802, 866)(803, 867)(804, 868)(805, 869)(806, 870)(807, 871)(808, 872)(809, 873)(810, 874)(811, 875)(812, 876)(813, 877)(814, 878)(815, 879)(816, 880)(817, 881)(818, 882)(819, 883)(820, 884)(821, 885)(822, 886)(823, 887)(824, 888)(825, 889)(826, 890)(827, 891)(828, 892)(829, 893)(830, 894)(831, 895)(832, 896)(833, 897)(834, 898)(899, 1031)(900, 1085)(901, 1087)(902, 1089)(903, 1090)(904, 1091)(905, 1046)(906, 1093)(907, 969)(908, 1096)(909, 988)(910, 967)(911, 1097)(912, 1099)(913, 989)(914, 1101)(915, 1036)(916, 1102)(917, 1060)(918, 1104)(919, 1025)(920, 987)(921, 1064)(922, 1105)(923, 977)(924, 1106)(925, 1062)(926, 985)(927, 1109)(928, 1052)(929, 1092)(930, 1111)(931, 1042)(932, 1112)(933, 1022)(934, 1115)(935, 1116)(936, 1118)(937, 1007)(938, 1120)(939, 964)(940, 1023)(941, 975)(942, 970)(943, 1021)(944, 1122)(945, 976)(946, 1123)(947, 1048)(948, 1124)(949, 1126)(950, 1127)(951, 1108)(952, 974)(953, 1128)(954, 1129)(955, 979)(956, 1130)(957, 1117)(958, 986)(959, 1132)(960, 1133)(961, 1119)(962, 1050)(963, 971)(965, 972)(966, 968)(973, 991)(978, 1011)(980, 1013)(981, 1014)(982, 1019)(983, 1020)(984, 1026)(990, 1016)(992, 1086)(993, 1100)(994, 1103)(995, 1110)(996, 1113)(997, 1072)(998, 1125)(999, 1134)(1000, 1193)(1001, 1194)(1002, 1196)(1003, 1199)(1004, 1186)(1005, 1203)(1006, 1205)(1008, 1208)(1009, 1210)(1010, 1094)(1012, 1074)(1015, 1217)(1017, 1141)(1018, 1142)(1024, 1222)(1027, 1206)(1028, 1227)(1029, 1211)(1030, 1076)(1032, 1161)(1033, 1175)(1034, 1061)(1035, 1234)(1037, 1237)(1038, 1233)(1039, 1239)(1040, 1238)(1041, 1241)(1043, 1055)(1044, 1213)(1045, 1245)(1047, 1246)(1049, 1249)(1051, 1229)(1053, 1080)(1054, 1191)(1056, 1242)(1057, 1151)(1058, 1066)(1059, 1171)(1063, 1258)(1065, 1260)(1067, 1262)(1068, 1075)(1069, 1256)(1070, 1131)(1071, 1177)(1073, 1263)(1077, 1084)(1078, 1218)(1079, 1138)(1081, 1248)(1082, 1139)(1083, 1243)(1088, 1254)(1095, 1135)(1098, 1136)(1107, 1261)(1114, 1285)(1121, 1140)(1137, 1148)(1143, 1174)(1144, 1172)(1145, 1225)(1146, 1223)(1147, 1220)(1149, 1268)(1150, 1244)(1152, 1282)(1153, 1271)(1154, 1288)(1155, 1202)(1156, 1214)(1157, 1292)(1158, 1284)(1159, 1290)(1160, 1266)(1162, 1294)(1163, 1295)(1164, 1251)(1165, 1293)(1166, 1184)(1167, 1221)(1168, 1272)(1169, 1273)(1170, 1190)(1173, 1286)(1176, 1267)(1178, 1219)(1179, 1278)(1180, 1274)(1181, 1192)(1182, 1216)(1183, 1250)(1185, 1279)(1187, 1252)(1188, 1257)(1189, 1296)(1195, 1255)(1197, 1289)(1198, 1283)(1200, 1212)(1201, 1275)(1204, 1253)(1207, 1230)(1209, 1270)(1215, 1277)(1224, 1232)(1226, 1280)(1228, 1269)(1231, 1287)(1235, 1259)(1236, 1291)(1240, 1276)(1247, 1265)(1264, 1281)
	L = (1, 649)(2, 650)(3, 651)(4, 652)(5, 653)(6, 654)(7, 655)(8, 656)(9, 657)(10, 658)(11, 659)(12, 660)(13, 661)(14, 662)(15, 663)(16, 664)(17, 665)(18, 666)(19, 667)(20, 668)(21, 669)(22, 670)(23, 671)(24, 672)(25, 673)(26, 674)(27, 675)(28, 676)(29, 677)(30, 678)(31, 679)(32, 680)(33, 681)(34, 682)(35, 683)(36, 684)(37, 685)(38, 686)(39, 687)(40, 688)(41, 689)(42, 690)(43, 691)(44, 692)(45, 693)(46, 694)(47, 695)(48, 696)(49, 697)(50, 698)(51, 699)(52, 700)(53, 701)(54, 702)(55, 703)(56, 704)(57, 705)(58, 706)(59, 707)(60, 708)(61, 709)(62, 710)(63, 711)(64, 712)(65, 713)(66, 714)(67, 715)(68, 716)(69, 717)(70, 718)(71, 719)(72, 720)(73, 721)(74, 722)(75, 723)(76, 724)(77, 725)(78, 726)(79, 727)(80, 728)(81, 729)(82, 730)(83, 731)(84, 732)(85, 733)(86, 734)(87, 735)(88, 736)(89, 737)(90, 738)(91, 739)(92, 740)(93, 741)(94, 742)(95, 743)(96, 744)(97, 745)(98, 746)(99, 747)(100, 748)(101, 749)(102, 750)(103, 751)(104, 752)(105, 753)(106, 754)(107, 755)(108, 756)(109, 757)(110, 758)(111, 759)(112, 760)(113, 761)(114, 762)(115, 763)(116, 764)(117, 765)(118, 766)(119, 767)(120, 768)(121, 769)(122, 770)(123, 771)(124, 772)(125, 773)(126, 774)(127, 775)(128, 776)(129, 777)(130, 778)(131, 779)(132, 780)(133, 781)(134, 782)(135, 783)(136, 784)(137, 785)(138, 786)(139, 787)(140, 788)(141, 789)(142, 790)(143, 791)(144, 792)(145, 793)(146, 794)(147, 795)(148, 796)(149, 797)(150, 798)(151, 799)(152, 800)(153, 801)(154, 802)(155, 803)(156, 804)(157, 805)(158, 806)(159, 807)(160, 808)(161, 809)(162, 810)(163, 811)(164, 812)(165, 813)(166, 814)(167, 815)(168, 816)(169, 817)(170, 818)(171, 819)(172, 820)(173, 821)(174, 822)(175, 823)(176, 824)(177, 825)(178, 826)(179, 827)(180, 828)(181, 829)(182, 830)(183, 831)(184, 832)(185, 833)(186, 834)(187, 835)(188, 836)(189, 837)(190, 838)(191, 839)(192, 840)(193, 841)(194, 842)(195, 843)(196, 844)(197, 845)(198, 846)(199, 847)(200, 848)(201, 849)(202, 850)(203, 851)(204, 852)(205, 853)(206, 854)(207, 855)(208, 856)(209, 857)(210, 858)(211, 859)(212, 860)(213, 861)(214, 862)(215, 863)(216, 864)(217, 865)(218, 866)(219, 867)(220, 868)(221, 869)(222, 870)(223, 871)(224, 872)(225, 873)(226, 874)(227, 875)(228, 876)(229, 877)(230, 878)(231, 879)(232, 880)(233, 881)(234, 882)(235, 883)(236, 884)(237, 885)(238, 886)(239, 887)(240, 888)(241, 889)(242, 890)(243, 891)(244, 892)(245, 893)(246, 894)(247, 895)(248, 896)(249, 897)(250, 898)(251, 899)(252, 900)(253, 901)(254, 902)(255, 903)(256, 904)(257, 905)(258, 906)(259, 907)(260, 908)(261, 909)(262, 910)(263, 911)(264, 912)(265, 913)(266, 914)(267, 915)(268, 916)(269, 917)(270, 918)(271, 919)(272, 920)(273, 921)(274, 922)(275, 923)(276, 924)(277, 925)(278, 926)(279, 927)(280, 928)(281, 929)(282, 930)(283, 931)(284, 932)(285, 933)(286, 934)(287, 935)(288, 936)(289, 937)(290, 938)(291, 939)(292, 940)(293, 941)(294, 942)(295, 943)(296, 944)(297, 945)(298, 946)(299, 947)(300, 948)(301, 949)(302, 950)(303, 951)(304, 952)(305, 953)(306, 954)(307, 955)(308, 956)(309, 957)(310, 958)(311, 959)(312, 960)(313, 961)(314, 962)(315, 963)(316, 964)(317, 965)(318, 966)(319, 967)(320, 968)(321, 969)(322, 970)(323, 971)(324, 972)(325, 973)(326, 974)(327, 975)(328, 976)(329, 977)(330, 978)(331, 979)(332, 980)(333, 981)(334, 982)(335, 983)(336, 984)(337, 985)(338, 986)(339, 987)(340, 988)(341, 989)(342, 990)(343, 991)(344, 992)(345, 993)(346, 994)(347, 995)(348, 996)(349, 997)(350, 998)(351, 999)(352, 1000)(353, 1001)(354, 1002)(355, 1003)(356, 1004)(357, 1005)(358, 1006)(359, 1007)(360, 1008)(361, 1009)(362, 1010)(363, 1011)(364, 1012)(365, 1013)(366, 1014)(367, 1015)(368, 1016)(369, 1017)(370, 1018)(371, 1019)(372, 1020)(373, 1021)(374, 1022)(375, 1023)(376, 1024)(377, 1025)(378, 1026)(379, 1027)(380, 1028)(381, 1029)(382, 1030)(383, 1031)(384, 1032)(385, 1033)(386, 1034)(387, 1035)(388, 1036)(389, 1037)(390, 1038)(391, 1039)(392, 1040)(393, 1041)(394, 1042)(395, 1043)(396, 1044)(397, 1045)(398, 1046)(399, 1047)(400, 1048)(401, 1049)(402, 1050)(403, 1051)(404, 1052)(405, 1053)(406, 1054)(407, 1055)(408, 1056)(409, 1057)(410, 1058)(411, 1059)(412, 1060)(413, 1061)(414, 1062)(415, 1063)(416, 1064)(417, 1065)(418, 1066)(419, 1067)(420, 1068)(421, 1069)(422, 1070)(423, 1071)(424, 1072)(425, 1073)(426, 1074)(427, 1075)(428, 1076)(429, 1077)(430, 1078)(431, 1079)(432, 1080)(433, 1081)(434, 1082)(435, 1083)(436, 1084)(437, 1085)(438, 1086)(439, 1087)(440, 1088)(441, 1089)(442, 1090)(443, 1091)(444, 1092)(445, 1093)(446, 1094)(447, 1095)(448, 1096)(449, 1097)(450, 1098)(451, 1099)(452, 1100)(453, 1101)(454, 1102)(455, 1103)(456, 1104)(457, 1105)(458, 1106)(459, 1107)(460, 1108)(461, 1109)(462, 1110)(463, 1111)(464, 1112)(465, 1113)(466, 1114)(467, 1115)(468, 1116)(469, 1117)(470, 1118)(471, 1119)(472, 1120)(473, 1121)(474, 1122)(475, 1123)(476, 1124)(477, 1125)(478, 1126)(479, 1127)(480, 1128)(481, 1129)(482, 1130)(483, 1131)(484, 1132)(485, 1133)(486, 1134)(487, 1135)(488, 1136)(489, 1137)(490, 1138)(491, 1139)(492, 1140)(493, 1141)(494, 1142)(495, 1143)(496, 1144)(497, 1145)(498, 1146)(499, 1147)(500, 1148)(501, 1149)(502, 1150)(503, 1151)(504, 1152)(505, 1153)(506, 1154)(507, 1155)(508, 1156)(509, 1157)(510, 1158)(511, 1159)(512, 1160)(513, 1161)(514, 1162)(515, 1163)(516, 1164)(517, 1165)(518, 1166)(519, 1167)(520, 1168)(521, 1169)(522, 1170)(523, 1171)(524, 1172)(525, 1173)(526, 1174)(527, 1175)(528, 1176)(529, 1177)(530, 1178)(531, 1179)(532, 1180)(533, 1181)(534, 1182)(535, 1183)(536, 1184)(537, 1185)(538, 1186)(539, 1187)(540, 1188)(541, 1189)(542, 1190)(543, 1191)(544, 1192)(545, 1193)(546, 1194)(547, 1195)(548, 1196)(549, 1197)(550, 1198)(551, 1199)(552, 1200)(553, 1201)(554, 1202)(555, 1203)(556, 1204)(557, 1205)(558, 1206)(559, 1207)(560, 1208)(561, 1209)(562, 1210)(563, 1211)(564, 1212)(565, 1213)(566, 1214)(567, 1215)(568, 1216)(569, 1217)(570, 1218)(571, 1219)(572, 1220)(573, 1221)(574, 1222)(575, 1223)(576, 1224)(577, 1225)(578, 1226)(579, 1227)(580, 1228)(581, 1229)(582, 1230)(583, 1231)(584, 1232)(585, 1233)(586, 1234)(587, 1235)(588, 1236)(589, 1237)(590, 1238)(591, 1239)(592, 1240)(593, 1241)(594, 1242)(595, 1243)(596, 1244)(597, 1245)(598, 1246)(599, 1247)(600, 1248)(601, 1249)(602, 1250)(603, 1251)(604, 1252)(605, 1253)(606, 1254)(607, 1255)(608, 1256)(609, 1257)(610, 1258)(611, 1259)(612, 1260)(613, 1261)(614, 1262)(615, 1263)(616, 1264)(617, 1265)(618, 1266)(619, 1267)(620, 1268)(621, 1269)(622, 1270)(623, 1271)(624, 1272)(625, 1273)(626, 1274)(627, 1275)(628, 1276)(629, 1277)(630, 1278)(631, 1279)(632, 1280)(633, 1281)(634, 1282)(635, 1283)(636, 1284)(637, 1285)(638, 1286)(639, 1287)(640, 1288)(641, 1289)(642, 1290)(643, 1291)(644, 1292)(645, 1293)(646, 1294)(647, 1295)(648, 1296)
	local type(s) :: { ( 24, 24 ), ( 24^3 ) }
Outer automorphisms :: reflexible
Dual of E28.3337
Transitivity :: ET+
Graph:: simple bipartite
	v = 540 e = 648 f = 54
	degree seq :: [ 2^324, 3^216 ]

E28.3334 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 12})
Quotient :: edge
Aut^+ = $<648, 262>$ (small group id <648, 262>)
Aut   = $<1296, 1786>$ (small group id <1296, 1786>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, (T2 * T1)^2, (T2 * T1^-2)^2, T2^12, (T2^4 * T1^-1)^3, T2 * T1^-1 * T2^2 * T1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^2 * T1^-1 * T2^2 * T1, T2^2 * T1^-1 * T2^-2 * T1 * T2^-2 * T1 * T2^-3 * T1 * T2^-2 * T1^-1 * T2 * T1^-1, T2 * T1^-1 * T2^-2 * T1 * T2^-2 * T1 * T2^2 * T1^-1 * T2^2 * T1^-1 * T2^3 * T1^-1, T2^4 * T1^-1 * T2^-2 * T1 * T2^5 * T1^-1 * T2^-3 * T1^-1, T2 * T1^-1 * T2^-5 * T1 * T2^2 * T1^-1 * T2^6 * T1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 9, 19, 37, 67, 117, 86, 48, 26, 13, 5)(2, 6, 14, 27, 50, 89, 154, 102, 58, 32, 16, 7)(4, 11, 22, 41, 74, 129, 186, 108, 62, 34, 17, 8)(10, 21, 40, 71, 124, 212, 320, 192, 112, 64, 35, 18)(12, 23, 43, 77, 134, 227, 370, 236, 140, 80, 44, 24)(15, 29, 53, 93, 161, 271, 429, 280, 167, 96, 54, 30)(20, 39, 70, 121, 207, 342, 496, 326, 196, 114, 65, 36)(25, 45, 81, 141, 238, 384, 457, 391, 244, 144, 82, 46)(28, 52, 92, 158, 266, 422, 331, 407, 255, 151, 87, 49)(31, 55, 97, 168, 282, 443, 476, 450, 288, 171, 98, 56)(33, 59, 103, 177, 296, 461, 399, 469, 302, 180, 104, 60)(38, 69, 120, 204, 235, 380, 540, 502, 330, 198, 115, 66)(42, 76, 132, 223, 363, 528, 412, 522, 356, 217, 127, 73)(47, 83, 145, 245, 393, 547, 514, 348, 213, 248, 146, 84)(51, 91, 157, 263, 279, 439, 579, 563, 411, 257, 152, 88)(57, 99, 172, 289, 452, 586, 533, 369, 228, 292, 173, 100)(61, 105, 181, 303, 471, 597, 573, 428, 272, 306, 182, 106)(63, 109, 187, 311, 480, 392, 246, 395, 482, 314, 188, 110)(68, 119, 203, 175, 101, 174, 293, 456, 504, 332, 199, 116)(72, 126, 215, 351, 516, 400, 357, 523, 512, 346, 210, 123)(75, 131, 222, 318, 191, 317, 486, 603, 525, 358, 218, 128)(78, 136, 230, 373, 498, 328, 197, 327, 497, 367, 225, 133)(79, 137, 231, 375, 537, 451, 290, 336, 505, 378, 232, 138)(85, 147, 249, 398, 551, 495, 359, 219, 130, 221, 250, 148)(90, 156, 262, 184, 107, 183, 307, 475, 565, 413, 258, 153)(94, 163, 274, 432, 559, 409, 256, 408, 558, 426, 269, 160)(95, 164, 275, 434, 576, 470, 304, 416, 566, 437, 276, 165)(111, 189, 315, 483, 580, 628, 626, 552, 462, 485, 316, 190)(113, 193, 321, 488, 382, 237, 142, 240, 387, 490, 322, 194)(118, 202, 335, 309, 185, 308, 477, 371, 534, 440, 333, 200)(122, 209, 344, 436, 397, 247, 396, 550, 616, 508, 340, 206)(125, 214, 350, 494, 325, 493, 608, 627, 554, 513, 347, 211)(135, 229, 372, 535, 406, 503, 612, 641, 619, 532, 368, 226)(139, 233, 338, 507, 590, 640, 613, 543, 385, 539, 379, 234)(143, 241, 388, 545, 614, 506, 337, 205, 339, 433, 389, 242)(149, 201, 334, 430, 487, 319, 414, 259, 155, 261, 401, 251)(150, 252, 402, 553, 441, 281, 169, 284, 446, 555, 403, 253)(159, 268, 424, 313, 455, 291, 454, 589, 637, 569, 420, 265)(162, 273, 431, 574, 521, 564, 634, 604, 489, 572, 427, 270)(166, 277, 418, 568, 541, 605, 635, 582, 444, 578, 438, 278)(170, 285, 447, 584, 636, 567, 417, 264, 419, 352, 448, 286)(176, 260, 415, 349, 515, 381, 478, 310, 220, 360, 458, 294)(178, 298, 464, 594, 518, 354, 216, 353, 517, 591, 459, 295)(179, 299, 465, 595, 644, 602, 484, 361, 526, 374, 466, 300)(195, 323, 491, 606, 638, 577, 546, 394, 549, 607, 492, 324)(208, 343, 425, 570, 501, 611, 548, 575, 435, 390, 243, 341)(224, 365, 509, 377, 474, 305, 473, 600, 647, 623, 527, 362)(239, 386, 544, 610, 500, 329, 499, 571, 631, 625, 542, 383)(254, 404, 556, 629, 601, 481, 585, 453, 588, 630, 557, 405)(267, 423, 345, 510, 562, 633, 587, 479, 312, 449, 287, 421)(283, 445, 583, 632, 561, 410, 560, 511, 617, 639, 581, 442)(297, 463, 593, 643, 618, 524, 621, 531, 609, 642, 592, 460)(301, 467, 364, 529, 366, 530, 622, 645, 598, 536, 376, 468)(355, 519, 615, 648, 624, 538, 596, 472, 599, 646, 620, 520)(649, 650, 652)(651, 656, 658)(653, 660, 654)(655, 663, 659)(657, 666, 668)(661, 673, 671)(662, 672, 676)(664, 679, 677)(665, 681, 669)(667, 684, 686)(670, 678, 690)(674, 695, 693)(675, 697, 699)(680, 705, 703)(682, 709, 707)(683, 711, 687)(685, 714, 716)(688, 708, 720)(689, 721, 723)(691, 694, 726)(692, 727, 700)(696, 733, 731)(698, 736, 738)(701, 704, 742)(702, 743, 724)(706, 749, 747)(710, 755, 753)(712, 759, 757)(713, 761, 717)(715, 764, 766)(718, 758, 770)(719, 771, 773)(722, 776, 778)(725, 781, 783)(728, 787, 785)(729, 732, 790)(730, 791, 784)(734, 797, 795)(735, 798, 739)(737, 801, 803)(740, 786, 807)(741, 808, 810)(744, 814, 812)(745, 748, 817)(746, 818, 811)(750, 824, 822)(751, 754, 826)(752, 827, 774)(756, 833, 831)(760, 839, 837)(762, 843, 841)(763, 845, 767)(765, 848, 849)(768, 842, 853)(769, 854, 856)(772, 859, 861)(775, 864, 779)(777, 867, 868)(780, 813, 872)(782, 874, 876)(788, 883, 881)(789, 885, 887)(792, 891, 889)(793, 796, 894)(794, 895, 888)(799, 902, 900)(800, 904, 804)(802, 907, 908)(805, 901, 912)(806, 913, 915)(809, 918, 920)(815, 927, 925)(816, 929, 931)(819, 935, 933)(820, 823, 938)(821, 939, 932)(825, 943, 945)(828, 949, 947)(829, 832, 952)(830, 953, 946)(834, 958, 956)(835, 838, 960)(836, 961, 857)(840, 967, 965)(844, 973, 971)(846, 977, 975)(847, 979, 850)(851, 976, 984)(852, 985, 986)(855, 989, 892)(858, 993, 862)(860, 996, 997)(863, 948, 1000)(865, 1003, 1001)(866, 1005, 869)(870, 1002, 1009)(871, 1010, 1012)(873, 1014, 877)(875, 1017, 1019)(878, 890, 1022)(879, 882, 1024)(880, 1025, 916)(884, 1029, 1028)(886, 1031, 1033)(893, 1040, 1042)(896, 995, 1044)(897, 899, 1047)(898, 1048, 1043)(903, 1054, 1052)(905, 1058, 1056)(906, 1060, 909)(910, 1057, 1064)(911, 1065, 1066)(914, 1069, 936)(917, 1073, 921)(919, 1076, 1078)(922, 934, 1081)(923, 926, 1083)(924, 1084, 1013)(928, 1088, 1087)(930, 1090, 1092)(937, 1099, 1101)(940, 1016, 1102)(941, 942, 1105)(944, 1108, 1110)(950, 1011, 1115)(951, 1118, 1120)(954, 1075, 1121)(955, 957, 1124)(959, 1127, 1129)(962, 1094, 1103)(963, 966, 1132)(964, 1095, 1097)(968, 1063, 1062)(969, 972, 1137)(970, 1080, 987)(974, 1143, 1141)(978, 1149, 1147)(980, 1151, 1055)(981, 1077, 982)(983, 1070, 1098)(988, 1079, 991)(990, 1039, 1106)(992, 1072, 1157)(994, 1159, 1158)(998, 1071, 1068)(999, 1067, 1051)(1004, 1169, 1167)(1006, 1172, 1171)(1007, 1144, 1008)(1015, 1179, 1178)(1018, 1125, 1126)(1020, 1177, 1175)(1021, 1174, 1166)(1023, 1184, 1186)(1026, 1112, 1122)(1027, 1113, 1116)(1030, 1189, 1034)(1032, 1191, 1104)(1035, 1045, 1085)(1036, 1038, 1086)(1037, 1096, 1114)(1041, 1194, 1196)(1046, 1109, 1200)(1049, 1176, 1117)(1050, 1053, 1202)(1059, 1210, 1208)(1061, 1212, 1170)(1074, 1219, 1218)(1082, 1223, 1225)(1089, 1228, 1093)(1091, 1230, 1123)(1100, 1233, 1235)(1107, 1238, 1111)(1119, 1244, 1246)(1128, 1249, 1197)(1130, 1164, 1203)(1131, 1250, 1231)(1133, 1240, 1232)(1134, 1135, 1221)(1136, 1252, 1253)(1138, 1214, 1207)(1139, 1142, 1217)(1140, 1248, 1220)(1145, 1148, 1257)(1146, 1242, 1153)(1150, 1195, 1259)(1152, 1261, 1260)(1154, 1241, 1155)(1156, 1263, 1222)(1160, 1266, 1265)(1161, 1205, 1198)(1162, 1188, 1163)(1165, 1168, 1267)(1173, 1270, 1269)(1180, 1268, 1237)(1181, 1227, 1182)(1183, 1271, 1204)(1185, 1272, 1236)(1187, 1190, 1243)(1192, 1216, 1215)(1193, 1226, 1229)(1199, 1274, 1256)(1201, 1275, 1276)(1206, 1209, 1279)(1211, 1234, 1281)(1213, 1283, 1282)(1224, 1286, 1247)(1239, 1289, 1288)(1245, 1293, 1251)(1254, 1285, 1294)(1255, 1277, 1295)(1258, 1284, 1290)(1262, 1287, 1291)(1264, 1278, 1296)(1273, 1280, 1292)
	L = (1, 649)(2, 650)(3, 651)(4, 652)(5, 653)(6, 654)(7, 655)(8, 656)(9, 657)(10, 658)(11, 659)(12, 660)(13, 661)(14, 662)(15, 663)(16, 664)(17, 665)(18, 666)(19, 667)(20, 668)(21, 669)(22, 670)(23, 671)(24, 672)(25, 673)(26, 674)(27, 675)(28, 676)(29, 677)(30, 678)(31, 679)(32, 680)(33, 681)(34, 682)(35, 683)(36, 684)(37, 685)(38, 686)(39, 687)(40, 688)(41, 689)(42, 690)(43, 691)(44, 692)(45, 693)(46, 694)(47, 695)(48, 696)(49, 697)(50, 698)(51, 699)(52, 700)(53, 701)(54, 702)(55, 703)(56, 704)(57, 705)(58, 706)(59, 707)(60, 708)(61, 709)(62, 710)(63, 711)(64, 712)(65, 713)(66, 714)(67, 715)(68, 716)(69, 717)(70, 718)(71, 719)(72, 720)(73, 721)(74, 722)(75, 723)(76, 724)(77, 725)(78, 726)(79, 727)(80, 728)(81, 729)(82, 730)(83, 731)(84, 732)(85, 733)(86, 734)(87, 735)(88, 736)(89, 737)(90, 738)(91, 739)(92, 740)(93, 741)(94, 742)(95, 743)(96, 744)(97, 745)(98, 746)(99, 747)(100, 748)(101, 749)(102, 750)(103, 751)(104, 752)(105, 753)(106, 754)(107, 755)(108, 756)(109, 757)(110, 758)(111, 759)(112, 760)(113, 761)(114, 762)(115, 763)(116, 764)(117, 765)(118, 766)(119, 767)(120, 768)(121, 769)(122, 770)(123, 771)(124, 772)(125, 773)(126, 774)(127, 775)(128, 776)(129, 777)(130, 778)(131, 779)(132, 780)(133, 781)(134, 782)(135, 783)(136, 784)(137, 785)(138, 786)(139, 787)(140, 788)(141, 789)(142, 790)(143, 791)(144, 792)(145, 793)(146, 794)(147, 795)(148, 796)(149, 797)(150, 798)(151, 799)(152, 800)(153, 801)(154, 802)(155, 803)(156, 804)(157, 805)(158, 806)(159, 807)(160, 808)(161, 809)(162, 810)(163, 811)(164, 812)(165, 813)(166, 814)(167, 815)(168, 816)(169, 817)(170, 818)(171, 819)(172, 820)(173, 821)(174, 822)(175, 823)(176, 824)(177, 825)(178, 826)(179, 827)(180, 828)(181, 829)(182, 830)(183, 831)(184, 832)(185, 833)(186, 834)(187, 835)(188, 836)(189, 837)(190, 838)(191, 839)(192, 840)(193, 841)(194, 842)(195, 843)(196, 844)(197, 845)(198, 846)(199, 847)(200, 848)(201, 849)(202, 850)(203, 851)(204, 852)(205, 853)(206, 854)(207, 855)(208, 856)(209, 857)(210, 858)(211, 859)(212, 860)(213, 861)(214, 862)(215, 863)(216, 864)(217, 865)(218, 866)(219, 867)(220, 868)(221, 869)(222, 870)(223, 871)(224, 872)(225, 873)(226, 874)(227, 875)(228, 876)(229, 877)(230, 878)(231, 879)(232, 880)(233, 881)(234, 882)(235, 883)(236, 884)(237, 885)(238, 886)(239, 887)(240, 888)(241, 889)(242, 890)(243, 891)(244, 892)(245, 893)(246, 894)(247, 895)(248, 896)(249, 897)(250, 898)(251, 899)(252, 900)(253, 901)(254, 902)(255, 903)(256, 904)(257, 905)(258, 906)(259, 907)(260, 908)(261, 909)(262, 910)(263, 911)(264, 912)(265, 913)(266, 914)(267, 915)(268, 916)(269, 917)(270, 918)(271, 919)(272, 920)(273, 921)(274, 922)(275, 923)(276, 924)(277, 925)(278, 926)(279, 927)(280, 928)(281, 929)(282, 930)(283, 931)(284, 932)(285, 933)(286, 934)(287, 935)(288, 936)(289, 937)(290, 938)(291, 939)(292, 940)(293, 941)(294, 942)(295, 943)(296, 944)(297, 945)(298, 946)(299, 947)(300, 948)(301, 949)(302, 950)(303, 951)(304, 952)(305, 953)(306, 954)(307, 955)(308, 956)(309, 957)(310, 958)(311, 959)(312, 960)(313, 961)(314, 962)(315, 963)(316, 964)(317, 965)(318, 966)(319, 967)(320, 968)(321, 969)(322, 970)(323, 971)(324, 972)(325, 973)(326, 974)(327, 975)(328, 976)(329, 977)(330, 978)(331, 979)(332, 980)(333, 981)(334, 982)(335, 983)(336, 984)(337, 985)(338, 986)(339, 987)(340, 988)(341, 989)(342, 990)(343, 991)(344, 992)(345, 993)(346, 994)(347, 995)(348, 996)(349, 997)(350, 998)(351, 999)(352, 1000)(353, 1001)(354, 1002)(355, 1003)(356, 1004)(357, 1005)(358, 1006)(359, 1007)(360, 1008)(361, 1009)(362, 1010)(363, 1011)(364, 1012)(365, 1013)(366, 1014)(367, 1015)(368, 1016)(369, 1017)(370, 1018)(371, 1019)(372, 1020)(373, 1021)(374, 1022)(375, 1023)(376, 1024)(377, 1025)(378, 1026)(379, 1027)(380, 1028)(381, 1029)(382, 1030)(383, 1031)(384, 1032)(385, 1033)(386, 1034)(387, 1035)(388, 1036)(389, 1037)(390, 1038)(391, 1039)(392, 1040)(393, 1041)(394, 1042)(395, 1043)(396, 1044)(397, 1045)(398, 1046)(399, 1047)(400, 1048)(401, 1049)(402, 1050)(403, 1051)(404, 1052)(405, 1053)(406, 1054)(407, 1055)(408, 1056)(409, 1057)(410, 1058)(411, 1059)(412, 1060)(413, 1061)(414, 1062)(415, 1063)(416, 1064)(417, 1065)(418, 1066)(419, 1067)(420, 1068)(421, 1069)(422, 1070)(423, 1071)(424, 1072)(425, 1073)(426, 1074)(427, 1075)(428, 1076)(429, 1077)(430, 1078)(431, 1079)(432, 1080)(433, 1081)(434, 1082)(435, 1083)(436, 1084)(437, 1085)(438, 1086)(439, 1087)(440, 1088)(441, 1089)(442, 1090)(443, 1091)(444, 1092)(445, 1093)(446, 1094)(447, 1095)(448, 1096)(449, 1097)(450, 1098)(451, 1099)(452, 1100)(453, 1101)(454, 1102)(455, 1103)(456, 1104)(457, 1105)(458, 1106)(459, 1107)(460, 1108)(461, 1109)(462, 1110)(463, 1111)(464, 1112)(465, 1113)(466, 1114)(467, 1115)(468, 1116)(469, 1117)(470, 1118)(471, 1119)(472, 1120)(473, 1121)(474, 1122)(475, 1123)(476, 1124)(477, 1125)(478, 1126)(479, 1127)(480, 1128)(481, 1129)(482, 1130)(483, 1131)(484, 1132)(485, 1133)(486, 1134)(487, 1135)(488, 1136)(489, 1137)(490, 1138)(491, 1139)(492, 1140)(493, 1141)(494, 1142)(495, 1143)(496, 1144)(497, 1145)(498, 1146)(499, 1147)(500, 1148)(501, 1149)(502, 1150)(503, 1151)(504, 1152)(505, 1153)(506, 1154)(507, 1155)(508, 1156)(509, 1157)(510, 1158)(511, 1159)(512, 1160)(513, 1161)(514, 1162)(515, 1163)(516, 1164)(517, 1165)(518, 1166)(519, 1167)(520, 1168)(521, 1169)(522, 1170)(523, 1171)(524, 1172)(525, 1173)(526, 1174)(527, 1175)(528, 1176)(529, 1177)(530, 1178)(531, 1179)(532, 1180)(533, 1181)(534, 1182)(535, 1183)(536, 1184)(537, 1185)(538, 1186)(539, 1187)(540, 1188)(541, 1189)(542, 1190)(543, 1191)(544, 1192)(545, 1193)(546, 1194)(547, 1195)(548, 1196)(549, 1197)(550, 1198)(551, 1199)(552, 1200)(553, 1201)(554, 1202)(555, 1203)(556, 1204)(557, 1205)(558, 1206)(559, 1207)(560, 1208)(561, 1209)(562, 1210)(563, 1211)(564, 1212)(565, 1213)(566, 1214)(567, 1215)(568, 1216)(569, 1217)(570, 1218)(571, 1219)(572, 1220)(573, 1221)(574, 1222)(575, 1223)(576, 1224)(577, 1225)(578, 1226)(579, 1227)(580, 1228)(581, 1229)(582, 1230)(583, 1231)(584, 1232)(585, 1233)(586, 1234)(587, 1235)(588, 1236)(589, 1237)(590, 1238)(591, 1239)(592, 1240)(593, 1241)(594, 1242)(595, 1243)(596, 1244)(597, 1245)(598, 1246)(599, 1247)(600, 1248)(601, 1249)(602, 1250)(603, 1251)(604, 1252)(605, 1253)(606, 1254)(607, 1255)(608, 1256)(609, 1257)(610, 1258)(611, 1259)(612, 1260)(613, 1261)(614, 1262)(615, 1263)(616, 1264)(617, 1265)(618, 1266)(619, 1267)(620, 1268)(621, 1269)(622, 1270)(623, 1271)(624, 1272)(625, 1273)(626, 1274)(627, 1275)(628, 1276)(629, 1277)(630, 1278)(631, 1279)(632, 1280)(633, 1281)(634, 1282)(635, 1283)(636, 1284)(637, 1285)(638, 1286)(639, 1287)(640, 1288)(641, 1289)(642, 1290)(643, 1291)(644, 1292)(645, 1293)(646, 1294)(647, 1295)(648, 1296)
	local type(s) :: { ( 4^3 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E28.3338
Transitivity :: ET+
Graph:: simple bipartite
	v = 270 e = 648 f = 324
	degree seq :: [ 3^216, 12^54 ]

E28.3335 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 12})
Quotient :: edge
Aut^+ = $<648, 262>$ (small group id <648, 262>)
Aut   = $<1296, 1786>$ (small group id <1296, 1786>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1 * T2)^3, T1^12, (T2 * T1^3 * T2 * T1^-1)^3, (T2 * T1^-2 * T2 * T1^5)^2, T1^-4 * T2 * T1^-3 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-3 * T2, T2 * T1 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-2 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 13)(10, 19)(11, 22)(14, 23)(15, 28)(17, 30)(18, 33)(20, 35)(21, 38)(24, 39)(25, 44)(26, 45)(27, 48)(29, 49)(31, 53)(32, 56)(34, 59)(36, 61)(37, 64)(40, 65)(41, 70)(42, 71)(43, 74)(46, 77)(47, 80)(50, 81)(51, 85)(52, 88)(54, 90)(55, 93)(57, 94)(58, 98)(60, 101)(62, 103)(63, 104)(66, 105)(67, 110)(68, 111)(69, 114)(72, 117)(73, 120)(75, 121)(76, 125)(78, 127)(79, 130)(82, 131)(83, 136)(84, 137)(86, 140)(87, 143)(89, 146)(91, 148)(92, 150)(95, 151)(96, 155)(97, 158)(99, 159)(100, 163)(102, 166)(106, 168)(107, 173)(108, 174)(109, 177)(112, 180)(113, 183)(115, 184)(116, 188)(118, 190)(119, 193)(122, 194)(123, 198)(124, 201)(126, 204)(128, 206)(129, 207)(132, 208)(133, 213)(134, 214)(135, 217)(138, 220)(139, 223)(141, 225)(142, 228)(144, 229)(145, 233)(147, 236)(149, 238)(152, 239)(153, 244)(154, 245)(156, 248)(157, 251)(160, 252)(161, 256)(162, 259)(164, 260)(165, 264)(167, 169)(170, 270)(171, 271)(172, 274)(175, 277)(176, 280)(178, 281)(179, 285)(181, 287)(182, 290)(185, 291)(186, 295)(187, 298)(189, 301)(191, 303)(192, 304)(195, 305)(196, 310)(197, 311)(199, 314)(200, 317)(202, 318)(203, 322)(205, 325)(209, 327)(210, 330)(211, 331)(212, 334)(215, 337)(216, 340)(218, 341)(219, 345)(221, 347)(222, 349)(224, 273)(226, 353)(227, 355)(230, 356)(231, 360)(232, 363)(234, 364)(235, 368)(237, 328)(240, 370)(241, 373)(242, 374)(243, 377)(246, 380)(247, 382)(249, 279)(250, 369)(253, 384)(254, 389)(255, 390)(257, 292)(258, 393)(261, 394)(262, 397)(263, 399)(265, 400)(266, 354)(267, 403)(268, 404)(269, 406)(272, 408)(275, 410)(276, 413)(278, 415)(282, 418)(283, 421)(284, 423)(286, 426)(288, 428)(289, 429)(293, 434)(294, 435)(296, 438)(297, 440)(299, 441)(300, 445)(302, 448)(306, 449)(307, 451)(308, 452)(309, 455)(312, 458)(313, 461)(315, 463)(316, 464)(319, 465)(320, 469)(321, 472)(323, 473)(324, 476)(326, 450)(329, 478)(332, 480)(333, 462)(335, 481)(336, 485)(338, 487)(339, 489)(342, 490)(343, 494)(344, 497)(346, 500)(348, 502)(350, 503)(351, 411)(352, 507)(357, 470)(358, 512)(359, 513)(361, 491)(362, 515)(365, 516)(366, 519)(367, 521)(371, 488)(372, 522)(375, 525)(376, 527)(378, 528)(379, 532)(381, 535)(383, 477)(385, 409)(386, 539)(387, 540)(388, 542)(391, 432)(392, 416)(395, 546)(396, 549)(398, 427)(401, 508)(402, 551)(405, 552)(407, 553)(412, 557)(414, 560)(417, 561)(419, 564)(420, 565)(422, 568)(424, 569)(425, 573)(430, 576)(431, 577)(433, 580)(436, 583)(437, 586)(439, 588)(442, 589)(443, 593)(444, 596)(446, 597)(447, 600)(453, 602)(454, 587)(456, 603)(457, 607)(459, 609)(460, 611)(466, 594)(467, 617)(468, 618)(471, 620)(474, 621)(475, 624)(479, 623)(482, 613)(483, 579)(484, 559)(486, 582)(492, 627)(493, 574)(495, 616)(496, 595)(498, 578)(499, 629)(501, 630)(504, 622)(505, 585)(506, 614)(509, 562)(510, 619)(511, 555)(514, 591)(517, 633)(518, 567)(520, 592)(523, 604)(524, 635)(526, 606)(529, 601)(530, 632)(531, 599)(533, 558)(534, 634)(536, 612)(537, 554)(538, 625)(541, 626)(543, 605)(544, 570)(545, 628)(547, 590)(548, 610)(550, 575)(556, 636)(563, 637)(566, 639)(571, 640)(572, 641)(581, 642)(584, 644)(598, 646)(608, 638)(615, 645)(631, 647)(643, 648)(649, 650, 653, 659, 669, 685, 711, 710, 684, 668, 658, 652)(651, 655, 663, 675, 695, 727, 777, 739, 702, 679, 665, 656)(654, 661, 673, 691, 721, 767, 840, 776, 726, 694, 674, 662)(657, 666, 680, 703, 740, 797, 874, 789, 734, 699, 677, 664)(660, 671, 689, 717, 761, 830, 937, 839, 766, 720, 690, 672)(667, 682, 706, 745, 805, 898, 1031, 897, 804, 744, 705, 681)(670, 687, 715, 757, 824, 927, 1065, 936, 829, 760, 716, 688)(676, 697, 731, 783, 864, 987, 1051, 919, 869, 786, 732, 698)(678, 700, 735, 790, 875, 1002, 1052, 963, 847, 771, 723, 692)(683, 708, 748, 810, 906, 1040, 1078, 938, 905, 809, 747, 707)(686, 713, 755, 820, 921, 873, 1000, 1064, 926, 823, 756, 714)(693, 724, 772, 848, 964, 912, 1048, 1087, 944, 834, 763, 718)(696, 729, 781, 860, 981, 1111, 1200, 1136, 986, 863, 782, 730)(701, 737, 793, 880, 1010, 1124, 1199, 1137, 1009, 879, 792, 736)(704, 742, 801, 891, 1024, 1055, 918, 822, 924, 894, 802, 743)(709, 750, 813, 911, 1046, 1076, 954, 841, 953, 910, 812, 749)(712, 753, 818, 917, 884, 796, 885, 1017, 1057, 920, 819, 754)(719, 764, 835, 945, 909, 811, 908, 1044, 1070, 931, 826, 758)(722, 769, 844, 957, 1102, 1236, 1126, 979, 1107, 960, 845, 770)(725, 774, 851, 969, 1119, 1248, 1156, 1003, 1118, 968, 850, 773)(728, 779, 858, 971, 852, 775, 853, 972, 1123, 980, 859, 780)(733, 787, 870, 996, 1149, 1016, 1054, 1201, 1143, 991, 866, 784)(738, 795, 883, 1015, 1168, 1019, 888, 798, 887, 1014, 882, 794)(741, 799, 889, 1020, 1148, 995, 1056, 1202, 1174, 1023, 890, 800)(746, 807, 902, 1036, 1060, 923, 821, 759, 827, 932, 903, 808)(751, 815, 914, 1049, 1096, 951, 857, 778, 856, 977, 913, 814)(752, 816, 915, 1050, 973, 854, 974, 886, 1018, 1053, 916, 817)(762, 832, 941, 1081, 1227, 1197, 1045, 1100, 1232, 1084, 942, 833)(765, 837, 948, 1092, 1243, 1198, 1047, 1112, 1242, 1091, 947, 836)(768, 842, 955, 1094, 949, 838, 950, 1095, 1247, 1101, 956, 843)(785, 867, 992, 1144, 1013, 881, 1012, 1166, 1216, 1131, 983, 861)(788, 872, 999, 1154, 1266, 1185, 1033, 899, 1032, 1153, 998, 871)(791, 877, 1006, 1159, 1205, 1127, 978, 862, 984, 1132, 1007, 878)(803, 895, 1029, 1182, 1204, 1059, 922, 1058, 1203, 1178, 1026, 892)(806, 900, 1034, 1186, 1206, 1061, 925, 1062, 1207, 1189, 1035, 901)(825, 929, 1067, 1211, 1191, 1037, 904, 1039, 1193, 1214, 1068, 930)(828, 934, 1073, 1220, 1196, 1043, 907, 1042, 1195, 1219, 1072, 933)(831, 939, 1079, 1222, 1074, 935, 1075, 1223, 1145, 1226, 1080, 940)(846, 961, 1108, 1258, 1122, 970, 1121, 1271, 1190, 1253, 1104, 958)(849, 966, 1115, 1264, 1175, 1249, 1099, 959, 1105, 1254, 1116, 967)(855, 975, 1077, 1224, 1155, 1001, 1098, 952, 1097, 1209, 1125, 976)(865, 989, 1140, 1212, 1069, 1215, 1167, 1022, 1172, 1221, 1141, 990)(868, 994, 1147, 1238, 1088, 1237, 1169, 1278, 1295, 1276, 1146, 993)(876, 1004, 1157, 1213, 1286, 1257, 1128, 1218, 1071, 1217, 1158, 1005)(893, 1027, 1179, 1268, 1152, 997, 1151, 1234, 1086, 1235, 1171, 1021)(896, 928, 1066, 1210, 1161, 1208, 1063, 1041, 1194, 1259, 1184, 1030)(943, 1085, 1233, 1188, 1246, 1093, 1245, 1177, 1025, 1176, 1229, 1082)(946, 1089, 1239, 1139, 988, 1138, 1225, 1083, 1230, 1135, 1240, 1090)(962, 1110, 1261, 1187, 1038, 1192, 1272, 1163, 1281, 1183, 1260, 1109)(965, 1113, 1262, 1284, 1296, 1292, 1250, 1180, 1028, 1181, 1263, 1114)(982, 1129, 1228, 1290, 1280, 1160, 1008, 1162, 1241, 1293, 1273, 1130)(985, 1134, 1231, 1291, 1282, 1165, 1011, 1164, 1244, 1294, 1274, 1133)(1103, 1251, 1285, 1275, 1142, 1265, 1117, 1267, 1288, 1277, 1170, 1252)(1106, 1256, 1287, 1279, 1150, 1270, 1120, 1269, 1289, 1283, 1173, 1255)
	L = (1, 649)(2, 650)(3, 651)(4, 652)(5, 653)(6, 654)(7, 655)(8, 656)(9, 657)(10, 658)(11, 659)(12, 660)(13, 661)(14, 662)(15, 663)(16, 664)(17, 665)(18, 666)(19, 667)(20, 668)(21, 669)(22, 670)(23, 671)(24, 672)(25, 673)(26, 674)(27, 675)(28, 676)(29, 677)(30, 678)(31, 679)(32, 680)(33, 681)(34, 682)(35, 683)(36, 684)(37, 685)(38, 686)(39, 687)(40, 688)(41, 689)(42, 690)(43, 691)(44, 692)(45, 693)(46, 694)(47, 695)(48, 696)(49, 697)(50, 698)(51, 699)(52, 700)(53, 701)(54, 702)(55, 703)(56, 704)(57, 705)(58, 706)(59, 707)(60, 708)(61, 709)(62, 710)(63, 711)(64, 712)(65, 713)(66, 714)(67, 715)(68, 716)(69, 717)(70, 718)(71, 719)(72, 720)(73, 721)(74, 722)(75, 723)(76, 724)(77, 725)(78, 726)(79, 727)(80, 728)(81, 729)(82, 730)(83, 731)(84, 732)(85, 733)(86, 734)(87, 735)(88, 736)(89, 737)(90, 738)(91, 739)(92, 740)(93, 741)(94, 742)(95, 743)(96, 744)(97, 745)(98, 746)(99, 747)(100, 748)(101, 749)(102, 750)(103, 751)(104, 752)(105, 753)(106, 754)(107, 755)(108, 756)(109, 757)(110, 758)(111, 759)(112, 760)(113, 761)(114, 762)(115, 763)(116, 764)(117, 765)(118, 766)(119, 767)(120, 768)(121, 769)(122, 770)(123, 771)(124, 772)(125, 773)(126, 774)(127, 775)(128, 776)(129, 777)(130, 778)(131, 779)(132, 780)(133, 781)(134, 782)(135, 783)(136, 784)(137, 785)(138, 786)(139, 787)(140, 788)(141, 789)(142, 790)(143, 791)(144, 792)(145, 793)(146, 794)(147, 795)(148, 796)(149, 797)(150, 798)(151, 799)(152, 800)(153, 801)(154, 802)(155, 803)(156, 804)(157, 805)(158, 806)(159, 807)(160, 808)(161, 809)(162, 810)(163, 811)(164, 812)(165, 813)(166, 814)(167, 815)(168, 816)(169, 817)(170, 818)(171, 819)(172, 820)(173, 821)(174, 822)(175, 823)(176, 824)(177, 825)(178, 826)(179, 827)(180, 828)(181, 829)(182, 830)(183, 831)(184, 832)(185, 833)(186, 834)(187, 835)(188, 836)(189, 837)(190, 838)(191, 839)(192, 840)(193, 841)(194, 842)(195, 843)(196, 844)(197, 845)(198, 846)(199, 847)(200, 848)(201, 849)(202, 850)(203, 851)(204, 852)(205, 853)(206, 854)(207, 855)(208, 856)(209, 857)(210, 858)(211, 859)(212, 860)(213, 861)(214, 862)(215, 863)(216, 864)(217, 865)(218, 866)(219, 867)(220, 868)(221, 869)(222, 870)(223, 871)(224, 872)(225, 873)(226, 874)(227, 875)(228, 876)(229, 877)(230, 878)(231, 879)(232, 880)(233, 881)(234, 882)(235, 883)(236, 884)(237, 885)(238, 886)(239, 887)(240, 888)(241, 889)(242, 890)(243, 891)(244, 892)(245, 893)(246, 894)(247, 895)(248, 896)(249, 897)(250, 898)(251, 899)(252, 900)(253, 901)(254, 902)(255, 903)(256, 904)(257, 905)(258, 906)(259, 907)(260, 908)(261, 909)(262, 910)(263, 911)(264, 912)(265, 913)(266, 914)(267, 915)(268, 916)(269, 917)(270, 918)(271, 919)(272, 920)(273, 921)(274, 922)(275, 923)(276, 924)(277, 925)(278, 926)(279, 927)(280, 928)(281, 929)(282, 930)(283, 931)(284, 932)(285, 933)(286, 934)(287, 935)(288, 936)(289, 937)(290, 938)(291, 939)(292, 940)(293, 941)(294, 942)(295, 943)(296, 944)(297, 945)(298, 946)(299, 947)(300, 948)(301, 949)(302, 950)(303, 951)(304, 952)(305, 953)(306, 954)(307, 955)(308, 956)(309, 957)(310, 958)(311, 959)(312, 960)(313, 961)(314, 962)(315, 963)(316, 964)(317, 965)(318, 966)(319, 967)(320, 968)(321, 969)(322, 970)(323, 971)(324, 972)(325, 973)(326, 974)(327, 975)(328, 976)(329, 977)(330, 978)(331, 979)(332, 980)(333, 981)(334, 982)(335, 983)(336, 984)(337, 985)(338, 986)(339, 987)(340, 988)(341, 989)(342, 990)(343, 991)(344, 992)(345, 993)(346, 994)(347, 995)(348, 996)(349, 997)(350, 998)(351, 999)(352, 1000)(353, 1001)(354, 1002)(355, 1003)(356, 1004)(357, 1005)(358, 1006)(359, 1007)(360, 1008)(361, 1009)(362, 1010)(363, 1011)(364, 1012)(365, 1013)(366, 1014)(367, 1015)(368, 1016)(369, 1017)(370, 1018)(371, 1019)(372, 1020)(373, 1021)(374, 1022)(375, 1023)(376, 1024)(377, 1025)(378, 1026)(379, 1027)(380, 1028)(381, 1029)(382, 1030)(383, 1031)(384, 1032)(385, 1033)(386, 1034)(387, 1035)(388, 1036)(389, 1037)(390, 1038)(391, 1039)(392, 1040)(393, 1041)(394, 1042)(395, 1043)(396, 1044)(397, 1045)(398, 1046)(399, 1047)(400, 1048)(401, 1049)(402, 1050)(403, 1051)(404, 1052)(405, 1053)(406, 1054)(407, 1055)(408, 1056)(409, 1057)(410, 1058)(411, 1059)(412, 1060)(413, 1061)(414, 1062)(415, 1063)(416, 1064)(417, 1065)(418, 1066)(419, 1067)(420, 1068)(421, 1069)(422, 1070)(423, 1071)(424, 1072)(425, 1073)(426, 1074)(427, 1075)(428, 1076)(429, 1077)(430, 1078)(431, 1079)(432, 1080)(433, 1081)(434, 1082)(435, 1083)(436, 1084)(437, 1085)(438, 1086)(439, 1087)(440, 1088)(441, 1089)(442, 1090)(443, 1091)(444, 1092)(445, 1093)(446, 1094)(447, 1095)(448, 1096)(449, 1097)(450, 1098)(451, 1099)(452, 1100)(453, 1101)(454, 1102)(455, 1103)(456, 1104)(457, 1105)(458, 1106)(459, 1107)(460, 1108)(461, 1109)(462, 1110)(463, 1111)(464, 1112)(465, 1113)(466, 1114)(467, 1115)(468, 1116)(469, 1117)(470, 1118)(471, 1119)(472, 1120)(473, 1121)(474, 1122)(475, 1123)(476, 1124)(477, 1125)(478, 1126)(479, 1127)(480, 1128)(481, 1129)(482, 1130)(483, 1131)(484, 1132)(485, 1133)(486, 1134)(487, 1135)(488, 1136)(489, 1137)(490, 1138)(491, 1139)(492, 1140)(493, 1141)(494, 1142)(495, 1143)(496, 1144)(497, 1145)(498, 1146)(499, 1147)(500, 1148)(501, 1149)(502, 1150)(503, 1151)(504, 1152)(505, 1153)(506, 1154)(507, 1155)(508, 1156)(509, 1157)(510, 1158)(511, 1159)(512, 1160)(513, 1161)(514, 1162)(515, 1163)(516, 1164)(517, 1165)(518, 1166)(519, 1167)(520, 1168)(521, 1169)(522, 1170)(523, 1171)(524, 1172)(525, 1173)(526, 1174)(527, 1175)(528, 1176)(529, 1177)(530, 1178)(531, 1179)(532, 1180)(533, 1181)(534, 1182)(535, 1183)(536, 1184)(537, 1185)(538, 1186)(539, 1187)(540, 1188)(541, 1189)(542, 1190)(543, 1191)(544, 1192)(545, 1193)(546, 1194)(547, 1195)(548, 1196)(549, 1197)(550, 1198)(551, 1199)(552, 1200)(553, 1201)(554, 1202)(555, 1203)(556, 1204)(557, 1205)(558, 1206)(559, 1207)(560, 1208)(561, 1209)(562, 1210)(563, 1211)(564, 1212)(565, 1213)(566, 1214)(567, 1215)(568, 1216)(569, 1217)(570, 1218)(571, 1219)(572, 1220)(573, 1221)(574, 1222)(575, 1223)(576, 1224)(577, 1225)(578, 1226)(579, 1227)(580, 1228)(581, 1229)(582, 1230)(583, 1231)(584, 1232)(585, 1233)(586, 1234)(587, 1235)(588, 1236)(589, 1237)(590, 1238)(591, 1239)(592, 1240)(593, 1241)(594, 1242)(595, 1243)(596, 1244)(597, 1245)(598, 1246)(599, 1247)(600, 1248)(601, 1249)(602, 1250)(603, 1251)(604, 1252)(605, 1253)(606, 1254)(607, 1255)(608, 1256)(609, 1257)(610, 1258)(611, 1259)(612, 1260)(613, 1261)(614, 1262)(615, 1263)(616, 1264)(617, 1265)(618, 1266)(619, 1267)(620, 1268)(621, 1269)(622, 1270)(623, 1271)(624, 1272)(625, 1273)(626, 1274)(627, 1275)(628, 1276)(629, 1277)(630, 1278)(631, 1279)(632, 1280)(633, 1281)(634, 1282)(635, 1283)(636, 1284)(637, 1285)(638, 1286)(639, 1287)(640, 1288)(641, 1289)(642, 1290)(643, 1291)(644, 1292)(645, 1293)(646, 1294)(647, 1295)(648, 1296)
	local type(s) :: { ( 6, 6 ), ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E28.3336
Transitivity :: ET+
Graph:: simple bipartite
	v = 378 e = 648 f = 216
	degree seq :: [ 2^324, 12^54 ]

E28.3336 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 12})
Quotient :: loop
Aut^+ = $<648, 262>$ (small group id <648, 262>)
Aut   = $<1296, 1786>$ (small group id <1296, 1786>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^3, (F * T1)^2, (F * T2)^2, (T1 * T2^-1)^12, (T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1)^3, T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 ]
Map::
	R = (1, 649, 3, 651, 4, 652)(2, 650, 5, 653, 6, 654)(7, 655, 11, 659, 12, 660)(8, 656, 13, 661, 14, 662)(9, 657, 15, 663, 16, 664)(10, 658, 17, 665, 18, 666)(19, 667, 27, 675, 28, 676)(20, 668, 29, 677, 30, 678)(21, 669, 31, 679, 32, 680)(22, 670, 33, 681, 34, 682)(23, 671, 35, 683, 36, 684)(24, 672, 37, 685, 38, 686)(25, 673, 39, 687, 40, 688)(26, 674, 41, 689, 42, 690)(43, 691, 59, 707, 60, 708)(44, 692, 61, 709, 62, 710)(45, 693, 63, 711, 64, 712)(46, 694, 65, 713, 66, 714)(47, 695, 67, 715, 68, 716)(48, 696, 69, 717, 70, 718)(49, 697, 71, 719, 72, 720)(50, 698, 73, 721, 74, 722)(51, 699, 75, 723, 76, 724)(52, 700, 77, 725, 78, 726)(53, 701, 79, 727, 80, 728)(54, 702, 81, 729, 82, 730)(55, 703, 83, 731, 84, 732)(56, 704, 85, 733, 86, 734)(57, 705, 87, 735, 88, 736)(58, 706, 89, 737, 90, 738)(91, 739, 123, 771, 124, 772)(92, 740, 125, 773, 126, 774)(93, 741, 127, 775, 128, 776)(94, 742, 129, 777, 130, 778)(95, 743, 131, 779, 132, 780)(96, 744, 133, 781, 134, 782)(97, 745, 135, 783, 136, 784)(98, 746, 137, 785, 138, 786)(99, 747, 139, 787, 140, 788)(100, 748, 141, 789, 142, 790)(101, 749, 143, 791, 144, 792)(102, 750, 145, 793, 146, 794)(103, 751, 147, 795, 148, 796)(104, 752, 149, 797, 150, 798)(105, 753, 151, 799, 152, 800)(106, 754, 153, 801, 154, 802)(107, 755, 155, 803, 156, 804)(108, 756, 157, 805, 158, 806)(109, 757, 159, 807, 160, 808)(110, 758, 161, 809, 162, 810)(111, 759, 163, 811, 164, 812)(112, 760, 165, 813, 166, 814)(113, 761, 167, 815, 168, 816)(114, 762, 169, 817, 170, 818)(115, 763, 171, 819, 172, 820)(116, 764, 173, 821, 174, 822)(117, 765, 175, 823, 176, 824)(118, 766, 177, 825, 178, 826)(119, 767, 179, 827, 180, 828)(120, 768, 181, 829, 182, 830)(121, 769, 183, 831, 184, 832)(122, 770, 185, 833, 186, 834)(187, 835, 251, 899, 252, 900)(188, 836, 253, 901, 254, 902)(189, 837, 255, 903, 256, 904)(190, 838, 257, 905, 258, 906)(191, 839, 259, 907, 260, 908)(192, 840, 261, 909, 262, 910)(193, 841, 263, 911, 264, 912)(194, 842, 265, 913, 266, 914)(195, 843, 267, 915, 268, 916)(196, 844, 269, 917, 270, 918)(197, 845, 271, 919, 272, 920)(198, 846, 273, 921, 274, 922)(199, 847, 275, 923, 276, 924)(200, 848, 277, 925, 278, 926)(201, 849, 279, 927, 280, 928)(202, 850, 281, 929, 282, 930)(203, 851, 283, 931, 284, 932)(204, 852, 285, 933, 286, 934)(205, 853, 287, 935, 288, 936)(206, 854, 289, 937, 290, 938)(207, 855, 291, 939, 292, 940)(208, 856, 293, 941, 294, 942)(209, 857, 295, 943, 296, 944)(210, 858, 297, 945, 298, 946)(211, 859, 299, 947, 300, 948)(212, 860, 301, 949, 302, 950)(213, 861, 303, 951, 304, 952)(214, 862, 305, 953, 306, 954)(215, 863, 307, 955, 308, 956)(216, 864, 309, 957, 310, 958)(217, 865, 311, 959, 312, 960)(218, 866, 313, 961, 314, 962)(219, 867, 431, 1079, 388, 1036)(220, 868, 390, 1038, 615, 1263)(221, 869, 434, 1082, 630, 1278)(222, 870, 348, 996, 367, 1015)(223, 871, 317, 965, 528, 1176)(224, 872, 438, 1086, 330, 978)(225, 873, 439, 1087, 461, 1109)(226, 874, 441, 1089, 608, 1256)(227, 875, 442, 1090, 464, 1112)(228, 876, 444, 1092, 635, 1283)(229, 877, 445, 1093, 507, 1155)(230, 878, 435, 1083, 631, 1279)(231, 879, 358, 1006, 375, 1023)(232, 880, 394, 1042, 529, 1177)(233, 881, 449, 1097, 475, 1123)(234, 882, 451, 1099, 636, 1284)(235, 883, 452, 1100, 622, 1270)(236, 884, 454, 1102, 637, 1285)(237, 885, 456, 1104, 506, 1154)(238, 886, 325, 973, 436, 1084)(239, 887, 322, 970, 503, 1151)(240, 888, 395, 1043, 356, 1004)(241, 889, 459, 1107, 371, 1019)(242, 890, 398, 1046, 617, 1265)(243, 891, 462, 1110, 373, 1021)(244, 892, 369, 1017, 604, 1252)(245, 893, 465, 1113, 392, 1040)(246, 894, 457, 1105, 484, 1132)(247, 895, 362, 1010, 447, 1095)(248, 896, 467, 1115, 499, 1147)(249, 897, 469, 1117, 638, 1286)(250, 898, 399, 1047, 471, 1119)(315, 963, 525, 1173, 502, 1150)(316, 964, 526, 1174, 527, 1175)(318, 966, 531, 1179, 532, 1180)(319, 967, 534, 1182, 535, 1183)(320, 968, 536, 1184, 487, 1135)(321, 969, 538, 1186, 539, 1187)(323, 971, 540, 1188, 516, 1164)(324, 972, 542, 1190, 544, 1192)(326, 974, 546, 1194, 470, 1118)(327, 975, 549, 1197, 474, 1122)(328, 976, 551, 1199, 553, 1201)(329, 977, 496, 1144, 430, 1078)(331, 979, 556, 1204, 557, 1205)(332, 980, 476, 1124, 517, 1165)(333, 981, 558, 1206, 559, 1207)(334, 982, 560, 1208, 482, 1130)(335, 983, 561, 1209, 563, 1211)(336, 984, 491, 1139, 564, 1212)(337, 985, 566, 1214, 500, 1148)(338, 986, 567, 1215, 569, 1217)(339, 987, 524, 1172, 385, 1033)(340, 988, 572, 1220, 405, 1053)(341, 989, 574, 1222, 576, 1224)(342, 990, 414, 1062, 422, 1070)(343, 991, 579, 1227, 580, 1228)(344, 992, 490, 1138, 581, 1229)(345, 993, 501, 1149, 377, 1025)(346, 994, 481, 1129, 387, 1035)(347, 995, 583, 1231, 519, 1167)(349, 997, 403, 1051, 450, 1098)(350, 998, 578, 1226, 510, 1158)(351, 999, 586, 1234, 588, 1236)(352, 1000, 520, 1168, 589, 1237)(353, 1001, 591, 1239, 408, 1056)(354, 1002, 592, 1240, 594, 1242)(355, 1003, 412, 1060, 595, 1243)(357, 1005, 565, 1213, 596, 1244)(359, 1007, 597, 1245, 488, 1136)(360, 1008, 497, 1145, 495, 1143)(361, 1009, 599, 1247, 393, 1041)(363, 1011, 521, 1169, 600, 1248)(364, 1012, 401, 1049, 601, 1249)(365, 1013, 460, 1108, 466, 1114)(366, 1014, 468, 1116, 602, 1250)(368, 1016, 509, 1157, 397, 1045)(370, 1018, 374, 1022, 432, 1080)(372, 1020, 606, 1254, 607, 1255)(376, 1024, 609, 1257, 433, 1081)(378, 1026, 426, 1074, 428, 1076)(379, 1027, 429, 1077, 472, 1120)(380, 1028, 611, 1259, 410, 1058)(381, 1029, 383, 1031, 415, 1063)(382, 1030, 492, 1140, 612, 1260)(384, 1032, 498, 1146, 416, 1064)(386, 1034, 455, 1103, 448, 1096)(389, 1037, 543, 1191, 554, 1202)(391, 1039, 616, 1264, 494, 1142)(396, 1044, 548, 1196, 585, 1233)(400, 1048, 547, 1195, 570, 1218)(402, 1050, 618, 1266, 463, 1111)(404, 1052, 424, 1072, 421, 1069)(406, 1054, 552, 1200, 545, 1193)(407, 1055, 620, 1268, 621, 1269)(409, 1057, 518, 1166, 577, 1225)(411, 1059, 555, 1203, 485, 1133)(413, 1061, 623, 1271, 427, 1075)(417, 1065, 624, 1272, 486, 1134)(418, 1066, 420, 1068, 423, 1071)(419, 1067, 522, 1170, 625, 1273)(425, 1073, 628, 1276, 515, 1163)(437, 1085, 493, 1141, 632, 1280)(440, 1088, 446, 1094, 453, 1101)(443, 1091, 634, 1282, 512, 1160)(458, 1106, 627, 1275, 605, 1253)(473, 1121, 523, 1171, 640, 1288)(477, 1125, 530, 1178, 582, 1230)(478, 1126, 568, 1216, 537, 1185)(479, 1127, 514, 1162, 642, 1290)(480, 1128, 639, 1287, 613, 1261)(483, 1131, 598, 1246, 643, 1291)(489, 1137, 571, 1219, 513, 1161)(504, 1152, 533, 1181, 603, 1251)(505, 1153, 575, 1223, 541, 1189)(508, 1156, 645, 1293, 626, 1274)(511, 1159, 590, 1238, 644, 1292)(550, 1198, 614, 1262, 584, 1232)(562, 1210, 648, 1296, 641, 1289)(573, 1221, 629, 1277, 610, 1258)(587, 1235, 647, 1295, 633, 1281)(593, 1241, 646, 1294, 619, 1267)
	L = (1, 650)(2, 649)(3, 655)(4, 656)(5, 657)(6, 658)(7, 651)(8, 652)(9, 653)(10, 654)(11, 667)(12, 668)(13, 669)(14, 670)(15, 671)(16, 672)(17, 673)(18, 674)(19, 659)(20, 660)(21, 661)(22, 662)(23, 663)(24, 664)(25, 665)(26, 666)(27, 691)(28, 692)(29, 693)(30, 694)(31, 695)(32, 696)(33, 697)(34, 698)(35, 699)(36, 700)(37, 701)(38, 702)(39, 703)(40, 704)(41, 705)(42, 706)(43, 675)(44, 676)(45, 677)(46, 678)(47, 679)(48, 680)(49, 681)(50, 682)(51, 683)(52, 684)(53, 685)(54, 686)(55, 687)(56, 688)(57, 689)(58, 690)(59, 739)(60, 740)(61, 741)(62, 742)(63, 743)(64, 744)(65, 745)(66, 746)(67, 747)(68, 748)(69, 749)(70, 750)(71, 751)(72, 752)(73, 753)(74, 754)(75, 755)(76, 756)(77, 757)(78, 758)(79, 759)(80, 760)(81, 761)(82, 762)(83, 763)(84, 764)(85, 765)(86, 766)(87, 767)(88, 768)(89, 769)(90, 770)(91, 707)(92, 708)(93, 709)(94, 710)(95, 711)(96, 712)(97, 713)(98, 714)(99, 715)(100, 716)(101, 717)(102, 718)(103, 719)(104, 720)(105, 721)(106, 722)(107, 723)(108, 724)(109, 725)(110, 726)(111, 727)(112, 728)(113, 729)(114, 730)(115, 731)(116, 732)(117, 733)(118, 734)(119, 735)(120, 736)(121, 737)(122, 738)(123, 835)(124, 836)(125, 837)(126, 838)(127, 839)(128, 840)(129, 841)(130, 842)(131, 843)(132, 844)(133, 845)(134, 846)(135, 847)(136, 848)(137, 849)(138, 850)(139, 851)(140, 852)(141, 853)(142, 854)(143, 855)(144, 856)(145, 857)(146, 858)(147, 859)(148, 860)(149, 861)(150, 862)(151, 863)(152, 864)(153, 865)(154, 866)(155, 867)(156, 868)(157, 869)(158, 870)(159, 871)(160, 872)(161, 873)(162, 874)(163, 875)(164, 876)(165, 877)(166, 878)(167, 879)(168, 880)(169, 881)(170, 882)(171, 883)(172, 884)(173, 885)(174, 886)(175, 887)(176, 888)(177, 889)(178, 890)(179, 891)(180, 892)(181, 893)(182, 894)(183, 895)(184, 896)(185, 897)(186, 898)(187, 771)(188, 772)(189, 773)(190, 774)(191, 775)(192, 776)(193, 777)(194, 778)(195, 779)(196, 780)(197, 781)(198, 782)(199, 783)(200, 784)(201, 785)(202, 786)(203, 787)(204, 788)(205, 789)(206, 790)(207, 791)(208, 792)(209, 793)(210, 794)(211, 795)(212, 796)(213, 797)(214, 798)(215, 799)(216, 800)(217, 801)(218, 802)(219, 803)(220, 804)(221, 805)(222, 806)(223, 807)(224, 808)(225, 809)(226, 810)(227, 811)(228, 812)(229, 813)(230, 814)(231, 815)(232, 816)(233, 817)(234, 818)(235, 819)(236, 820)(237, 821)(238, 822)(239, 823)(240, 824)(241, 825)(242, 826)(243, 827)(244, 828)(245, 829)(246, 830)(247, 831)(248, 832)(249, 833)(250, 834)(251, 1119)(252, 1012)(253, 1121)(254, 1080)(255, 1123)(256, 1124)(257, 1037)(258, 1125)(259, 1046)(260, 1127)(261, 1093)(262, 1011)(263, 1129)(264, 997)(265, 963)(266, 1088)(267, 1131)(268, 1132)(269, 1092)(270, 1135)(271, 1086)(272, 1043)(273, 1042)(274, 1136)(275, 1138)(276, 1081)(277, 1083)(278, 1141)(279, 1142)(280, 1082)(281, 979)(282, 1143)(283, 1145)(284, 1041)(285, 1147)(286, 1149)(287, 1150)(288, 1151)(289, 1048)(290, 1152)(291, 1007)(292, 1154)(293, 1155)(294, 1040)(295, 1157)(296, 1019)(297, 965)(298, 1159)(299, 1160)(300, 1085)(301, 1162)(302, 1164)(303, 1165)(304, 1004)(305, 1051)(306, 1112)(307, 1116)(308, 1167)(309, 1169)(310, 1102)(311, 1111)(312, 1171)(313, 981)(314, 1079)(315, 913)(316, 1089)(317, 945)(318, 1178)(319, 1181)(320, 1137)(321, 1185)(322, 999)(323, 1166)(324, 1189)(325, 1059)(326, 1193)(327, 1196)(328, 1198)(329, 1202)(330, 1002)(331, 929)(332, 983)(333, 961)(334, 1099)(335, 980)(336, 1047)(337, 1213)(338, 1106)(339, 1218)(340, 1103)(341, 1221)(342, 1109)(343, 1226)(344, 1073)(345, 1133)(346, 1072)(347, 1128)(348, 1054)(349, 912)(350, 1094)(351, 970)(352, 1008)(353, 1238)(354, 978)(355, 1036)(356, 952)(357, 1068)(358, 1215)(359, 939)(360, 1000)(361, 1241)(362, 1077)(363, 910)(364, 900)(365, 1239)(366, 1028)(367, 1161)(368, 1027)(369, 1156)(370, 1126)(371, 944)(372, 1208)(373, 1065)(374, 1057)(375, 1064)(376, 1055)(377, 1153)(378, 1247)(379, 1016)(380, 1014)(381, 1251)(382, 1204)(383, 1044)(384, 1039)(385, 1262)(386, 1076)(387, 1222)(388, 1003)(389, 905)(390, 1210)(391, 1032)(392, 942)(393, 932)(394, 921)(395, 920)(396, 1031)(397, 1199)(398, 907)(399, 984)(400, 937)(401, 1235)(402, 1069)(403, 953)(404, 1114)(405, 1231)(406, 996)(407, 1024)(408, 1270)(409, 1022)(410, 1190)(411, 973)(412, 1246)(413, 1096)(414, 1105)(415, 1263)(416, 1023)(417, 1021)(418, 1256)(419, 1206)(420, 1005)(421, 1050)(422, 1275)(423, 1249)(424, 994)(425, 992)(426, 1230)(427, 1117)(428, 1034)(429, 1010)(430, 1277)(431, 962)(432, 902)(433, 924)(434, 928)(435, 925)(436, 1216)(437, 948)(438, 919)(439, 1220)(440, 914)(441, 964)(442, 1281)(443, 1139)(444, 917)(445, 909)(446, 998)(447, 1224)(448, 1061)(449, 1269)(450, 1276)(451, 982)(452, 1168)(453, 1243)(454, 958)(455, 988)(456, 1175)(457, 1062)(458, 986)(459, 1259)(460, 1219)(461, 990)(462, 1273)(463, 959)(464, 954)(465, 1211)(466, 1052)(467, 1240)(468, 955)(469, 1075)(470, 1287)(471, 899)(472, 1255)(473, 901)(474, 1252)(475, 903)(476, 904)(477, 906)(478, 1018)(479, 908)(480, 995)(481, 911)(482, 1291)(483, 915)(484, 916)(485, 993)(486, 1194)(487, 918)(488, 922)(489, 968)(490, 923)(491, 1091)(492, 1233)(493, 926)(494, 927)(495, 930)(496, 1280)(497, 931)(498, 1228)(499, 933)(500, 1257)(501, 934)(502, 935)(503, 936)(504, 938)(505, 1025)(506, 940)(507, 941)(508, 1017)(509, 943)(510, 1282)(511, 946)(512, 947)(513, 1015)(514, 949)(515, 1186)(516, 950)(517, 951)(518, 971)(519, 956)(520, 1100)(521, 957)(522, 1244)(523, 960)(524, 1285)(525, 1261)(526, 1258)(527, 1104)(528, 1274)(529, 1272)(530, 966)(531, 1232)(532, 1283)(533, 967)(534, 1253)(535, 1290)(536, 1223)(537, 969)(538, 1163)(539, 1293)(540, 1200)(541, 972)(542, 1058)(543, 1197)(544, 1268)(545, 974)(546, 1134)(547, 1214)(548, 975)(549, 1191)(550, 976)(551, 1045)(552, 1188)(553, 1264)(554, 977)(555, 1227)(556, 1030)(557, 1295)(558, 1067)(559, 1294)(560, 1020)(561, 1278)(562, 1038)(563, 1113)(564, 1292)(565, 985)(566, 1195)(567, 1006)(568, 1084)(569, 1266)(570, 987)(571, 1108)(572, 1087)(573, 989)(574, 1035)(575, 1184)(576, 1095)(577, 1254)(578, 991)(579, 1203)(580, 1146)(581, 1271)(582, 1074)(583, 1053)(584, 1179)(585, 1140)(586, 1288)(587, 1049)(588, 1279)(589, 1284)(590, 1001)(591, 1013)(592, 1115)(593, 1009)(594, 1248)(595, 1101)(596, 1170)(597, 1289)(598, 1060)(599, 1026)(600, 1242)(601, 1071)(602, 1260)(603, 1029)(604, 1122)(605, 1182)(606, 1225)(607, 1120)(608, 1066)(609, 1148)(610, 1174)(611, 1107)(612, 1250)(613, 1173)(614, 1033)(615, 1063)(616, 1201)(617, 1267)(618, 1217)(619, 1265)(620, 1192)(621, 1097)(622, 1056)(623, 1229)(624, 1177)(625, 1110)(626, 1176)(627, 1070)(628, 1098)(629, 1078)(630, 1209)(631, 1236)(632, 1144)(633, 1090)(634, 1158)(635, 1180)(636, 1237)(637, 1172)(638, 1296)(639, 1118)(640, 1234)(641, 1245)(642, 1183)(643, 1130)(644, 1212)(645, 1187)(646, 1207)(647, 1205)(648, 1286)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3335
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 216 e = 648 f = 378
	degree seq :: [ 6^216 ]

E28.3337 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 12})
Quotient :: loop
Aut^+ = $<648, 262>$ (small group id <648, 262>)
Aut   = $<1296, 1786>$ (small group id <1296, 1786>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, (T2 * T1)^2, (T2 * T1^-2)^2, T2^12, (T2^4 * T1^-1)^3, T2 * T1^-1 * T2^2 * T1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^2 * T1^-1 * T2^2 * T1, T2^2 * T1^-1 * T2^-2 * T1 * T2^-2 * T1 * T2^-3 * T1 * T2^-2 * T1^-1 * T2 * T1^-1, T2 * T1^-1 * T2^-2 * T1 * T2^-2 * T1 * T2^2 * T1^-1 * T2^2 * T1^-1 * T2^3 * T1^-1, T2^4 * T1^-1 * T2^-2 * T1 * T2^5 * T1^-1 * T2^-3 * T1^-1, T2 * T1^-1 * T2^-5 * T1 * T2^2 * T1^-1 * T2^6 * T1^-1 ]
Map::
	R = (1, 649, 3, 651, 9, 657, 19, 667, 37, 685, 67, 715, 117, 765, 86, 734, 48, 696, 26, 674, 13, 661, 5, 653)(2, 650, 6, 654, 14, 662, 27, 675, 50, 698, 89, 737, 154, 802, 102, 750, 58, 706, 32, 680, 16, 664, 7, 655)(4, 652, 11, 659, 22, 670, 41, 689, 74, 722, 129, 777, 186, 834, 108, 756, 62, 710, 34, 682, 17, 665, 8, 656)(10, 658, 21, 669, 40, 688, 71, 719, 124, 772, 212, 860, 320, 968, 192, 840, 112, 760, 64, 712, 35, 683, 18, 666)(12, 660, 23, 671, 43, 691, 77, 725, 134, 782, 227, 875, 370, 1018, 236, 884, 140, 788, 80, 728, 44, 692, 24, 672)(15, 663, 29, 677, 53, 701, 93, 741, 161, 809, 271, 919, 429, 1077, 280, 928, 167, 815, 96, 744, 54, 702, 30, 678)(20, 668, 39, 687, 70, 718, 121, 769, 207, 855, 342, 990, 496, 1144, 326, 974, 196, 844, 114, 762, 65, 713, 36, 684)(25, 673, 45, 693, 81, 729, 141, 789, 238, 886, 384, 1032, 457, 1105, 391, 1039, 244, 892, 144, 792, 82, 730, 46, 694)(28, 676, 52, 700, 92, 740, 158, 806, 266, 914, 422, 1070, 331, 979, 407, 1055, 255, 903, 151, 799, 87, 735, 49, 697)(31, 679, 55, 703, 97, 745, 168, 816, 282, 930, 443, 1091, 476, 1124, 450, 1098, 288, 936, 171, 819, 98, 746, 56, 704)(33, 681, 59, 707, 103, 751, 177, 825, 296, 944, 461, 1109, 399, 1047, 469, 1117, 302, 950, 180, 828, 104, 752, 60, 708)(38, 686, 69, 717, 120, 768, 204, 852, 235, 883, 380, 1028, 540, 1188, 502, 1150, 330, 978, 198, 846, 115, 763, 66, 714)(42, 690, 76, 724, 132, 780, 223, 871, 363, 1011, 528, 1176, 412, 1060, 522, 1170, 356, 1004, 217, 865, 127, 775, 73, 721)(47, 695, 83, 731, 145, 793, 245, 893, 393, 1041, 547, 1195, 514, 1162, 348, 996, 213, 861, 248, 896, 146, 794, 84, 732)(51, 699, 91, 739, 157, 805, 263, 911, 279, 927, 439, 1087, 579, 1227, 563, 1211, 411, 1059, 257, 905, 152, 800, 88, 736)(57, 705, 99, 747, 172, 820, 289, 937, 452, 1100, 586, 1234, 533, 1181, 369, 1017, 228, 876, 292, 940, 173, 821, 100, 748)(61, 709, 105, 753, 181, 829, 303, 951, 471, 1119, 597, 1245, 573, 1221, 428, 1076, 272, 920, 306, 954, 182, 830, 106, 754)(63, 711, 109, 757, 187, 835, 311, 959, 480, 1128, 392, 1040, 246, 894, 395, 1043, 482, 1130, 314, 962, 188, 836, 110, 758)(68, 716, 119, 767, 203, 851, 175, 823, 101, 749, 174, 822, 293, 941, 456, 1104, 504, 1152, 332, 980, 199, 847, 116, 764)(72, 720, 126, 774, 215, 863, 351, 999, 516, 1164, 400, 1048, 357, 1005, 523, 1171, 512, 1160, 346, 994, 210, 858, 123, 771)(75, 723, 131, 779, 222, 870, 318, 966, 191, 839, 317, 965, 486, 1134, 603, 1251, 525, 1173, 358, 1006, 218, 866, 128, 776)(78, 726, 136, 784, 230, 878, 373, 1021, 498, 1146, 328, 976, 197, 845, 327, 975, 497, 1145, 367, 1015, 225, 873, 133, 781)(79, 727, 137, 785, 231, 879, 375, 1023, 537, 1185, 451, 1099, 290, 938, 336, 984, 505, 1153, 378, 1026, 232, 880, 138, 786)(85, 733, 147, 795, 249, 897, 398, 1046, 551, 1199, 495, 1143, 359, 1007, 219, 867, 130, 778, 221, 869, 250, 898, 148, 796)(90, 738, 156, 804, 262, 910, 184, 832, 107, 755, 183, 831, 307, 955, 475, 1123, 565, 1213, 413, 1061, 258, 906, 153, 801)(94, 742, 163, 811, 274, 922, 432, 1080, 559, 1207, 409, 1057, 256, 904, 408, 1056, 558, 1206, 426, 1074, 269, 917, 160, 808)(95, 743, 164, 812, 275, 923, 434, 1082, 576, 1224, 470, 1118, 304, 952, 416, 1064, 566, 1214, 437, 1085, 276, 924, 165, 813)(111, 759, 189, 837, 315, 963, 483, 1131, 580, 1228, 628, 1276, 626, 1274, 552, 1200, 462, 1110, 485, 1133, 316, 964, 190, 838)(113, 761, 193, 841, 321, 969, 488, 1136, 382, 1030, 237, 885, 142, 790, 240, 888, 387, 1035, 490, 1138, 322, 970, 194, 842)(118, 766, 202, 850, 335, 983, 309, 957, 185, 833, 308, 956, 477, 1125, 371, 1019, 534, 1182, 440, 1088, 333, 981, 200, 848)(122, 770, 209, 857, 344, 992, 436, 1084, 397, 1045, 247, 895, 396, 1044, 550, 1198, 616, 1264, 508, 1156, 340, 988, 206, 854)(125, 773, 214, 862, 350, 998, 494, 1142, 325, 973, 493, 1141, 608, 1256, 627, 1275, 554, 1202, 513, 1161, 347, 995, 211, 859)(135, 783, 229, 877, 372, 1020, 535, 1183, 406, 1054, 503, 1151, 612, 1260, 641, 1289, 619, 1267, 532, 1180, 368, 1016, 226, 874)(139, 787, 233, 881, 338, 986, 507, 1155, 590, 1238, 640, 1288, 613, 1261, 543, 1191, 385, 1033, 539, 1187, 379, 1027, 234, 882)(143, 791, 241, 889, 388, 1036, 545, 1193, 614, 1262, 506, 1154, 337, 985, 205, 853, 339, 987, 433, 1081, 389, 1037, 242, 890)(149, 797, 201, 849, 334, 982, 430, 1078, 487, 1135, 319, 967, 414, 1062, 259, 907, 155, 803, 261, 909, 401, 1049, 251, 899)(150, 798, 252, 900, 402, 1050, 553, 1201, 441, 1089, 281, 929, 169, 817, 284, 932, 446, 1094, 555, 1203, 403, 1051, 253, 901)(159, 807, 268, 916, 424, 1072, 313, 961, 455, 1103, 291, 939, 454, 1102, 589, 1237, 637, 1285, 569, 1217, 420, 1068, 265, 913)(162, 810, 273, 921, 431, 1079, 574, 1222, 521, 1169, 564, 1212, 634, 1282, 604, 1252, 489, 1137, 572, 1220, 427, 1075, 270, 918)(166, 814, 277, 925, 418, 1066, 568, 1216, 541, 1189, 605, 1253, 635, 1283, 582, 1230, 444, 1092, 578, 1226, 438, 1086, 278, 926)(170, 818, 285, 933, 447, 1095, 584, 1232, 636, 1284, 567, 1215, 417, 1065, 264, 912, 419, 1067, 352, 1000, 448, 1096, 286, 934)(176, 824, 260, 908, 415, 1063, 349, 997, 515, 1163, 381, 1029, 478, 1126, 310, 958, 220, 868, 360, 1008, 458, 1106, 294, 942)(178, 826, 298, 946, 464, 1112, 594, 1242, 518, 1166, 354, 1002, 216, 864, 353, 1001, 517, 1165, 591, 1239, 459, 1107, 295, 943)(179, 827, 299, 947, 465, 1113, 595, 1243, 644, 1292, 602, 1250, 484, 1132, 361, 1009, 526, 1174, 374, 1022, 466, 1114, 300, 948)(195, 843, 323, 971, 491, 1139, 606, 1254, 638, 1286, 577, 1225, 546, 1194, 394, 1042, 549, 1197, 607, 1255, 492, 1140, 324, 972)(208, 856, 343, 991, 425, 1073, 570, 1218, 501, 1149, 611, 1259, 548, 1196, 575, 1223, 435, 1083, 390, 1038, 243, 891, 341, 989)(224, 872, 365, 1013, 509, 1157, 377, 1025, 474, 1122, 305, 953, 473, 1121, 600, 1248, 647, 1295, 623, 1271, 527, 1175, 362, 1010)(239, 887, 386, 1034, 544, 1192, 610, 1258, 500, 1148, 329, 977, 499, 1147, 571, 1219, 631, 1279, 625, 1273, 542, 1190, 383, 1031)(254, 902, 404, 1052, 556, 1204, 629, 1277, 601, 1249, 481, 1129, 585, 1233, 453, 1101, 588, 1236, 630, 1278, 557, 1205, 405, 1053)(267, 915, 423, 1071, 345, 993, 510, 1158, 562, 1210, 633, 1281, 587, 1235, 479, 1127, 312, 960, 449, 1097, 287, 935, 421, 1069)(283, 931, 445, 1093, 583, 1231, 632, 1280, 561, 1209, 410, 1058, 560, 1208, 511, 1159, 617, 1265, 639, 1287, 581, 1229, 442, 1090)(297, 945, 463, 1111, 593, 1241, 643, 1291, 618, 1266, 524, 1172, 621, 1269, 531, 1179, 609, 1257, 642, 1290, 592, 1240, 460, 1108)(301, 949, 467, 1115, 364, 1012, 529, 1177, 366, 1014, 530, 1178, 622, 1270, 645, 1293, 598, 1246, 536, 1184, 376, 1024, 468, 1116)(355, 1003, 519, 1167, 615, 1263, 648, 1296, 624, 1272, 538, 1186, 596, 1244, 472, 1120, 599, 1247, 646, 1294, 620, 1268, 520, 1168)
	L = (1, 650)(2, 652)(3, 656)(4, 649)(5, 660)(6, 653)(7, 663)(8, 658)(9, 666)(10, 651)(11, 655)(12, 654)(13, 673)(14, 672)(15, 659)(16, 679)(17, 681)(18, 668)(19, 684)(20, 657)(21, 665)(22, 678)(23, 661)(24, 676)(25, 671)(26, 695)(27, 697)(28, 662)(29, 664)(30, 690)(31, 677)(32, 705)(33, 669)(34, 709)(35, 711)(36, 686)(37, 714)(38, 667)(39, 683)(40, 708)(41, 721)(42, 670)(43, 694)(44, 727)(45, 674)(46, 726)(47, 693)(48, 733)(49, 699)(50, 736)(51, 675)(52, 692)(53, 704)(54, 743)(55, 680)(56, 742)(57, 703)(58, 749)(59, 682)(60, 720)(61, 707)(62, 755)(63, 687)(64, 759)(65, 761)(66, 716)(67, 764)(68, 685)(69, 713)(70, 758)(71, 771)(72, 688)(73, 723)(74, 776)(75, 689)(76, 702)(77, 781)(78, 691)(79, 700)(80, 787)(81, 732)(82, 791)(83, 696)(84, 790)(85, 731)(86, 797)(87, 798)(88, 738)(89, 801)(90, 698)(91, 735)(92, 786)(93, 808)(94, 701)(95, 724)(96, 814)(97, 748)(98, 818)(99, 706)(100, 817)(101, 747)(102, 824)(103, 754)(104, 827)(105, 710)(106, 826)(107, 753)(108, 833)(109, 712)(110, 770)(111, 757)(112, 839)(113, 717)(114, 843)(115, 845)(116, 766)(117, 848)(118, 715)(119, 763)(120, 842)(121, 854)(122, 718)(123, 773)(124, 859)(125, 719)(126, 752)(127, 864)(128, 778)(129, 867)(130, 722)(131, 775)(132, 813)(133, 783)(134, 874)(135, 725)(136, 730)(137, 728)(138, 807)(139, 785)(140, 883)(141, 885)(142, 729)(143, 784)(144, 891)(145, 796)(146, 895)(147, 734)(148, 894)(149, 795)(150, 739)(151, 902)(152, 904)(153, 803)(154, 907)(155, 737)(156, 800)(157, 901)(158, 913)(159, 740)(160, 810)(161, 918)(162, 741)(163, 746)(164, 744)(165, 872)(166, 812)(167, 927)(168, 929)(169, 745)(170, 811)(171, 935)(172, 823)(173, 939)(174, 750)(175, 938)(176, 822)(177, 943)(178, 751)(179, 774)(180, 949)(181, 832)(182, 953)(183, 756)(184, 952)(185, 831)(186, 958)(187, 838)(188, 961)(189, 760)(190, 960)(191, 837)(192, 967)(193, 762)(194, 853)(195, 841)(196, 973)(197, 767)(198, 977)(199, 979)(200, 849)(201, 765)(202, 847)(203, 976)(204, 985)(205, 768)(206, 856)(207, 989)(208, 769)(209, 836)(210, 993)(211, 861)(212, 996)(213, 772)(214, 858)(215, 948)(216, 779)(217, 1003)(218, 1005)(219, 868)(220, 777)(221, 866)(222, 1002)(223, 1010)(224, 780)(225, 1014)(226, 876)(227, 1017)(228, 782)(229, 873)(230, 890)(231, 882)(232, 1025)(233, 788)(234, 1024)(235, 881)(236, 1029)(237, 887)(238, 1031)(239, 789)(240, 794)(241, 792)(242, 1022)(243, 889)(244, 855)(245, 1040)(246, 793)(247, 888)(248, 995)(249, 899)(250, 1048)(251, 1047)(252, 799)(253, 912)(254, 900)(255, 1054)(256, 804)(257, 1058)(258, 1060)(259, 908)(260, 802)(261, 906)(262, 1057)(263, 1065)(264, 805)(265, 915)(266, 1069)(267, 806)(268, 880)(269, 1073)(270, 920)(271, 1076)(272, 809)(273, 917)(274, 934)(275, 926)(276, 1084)(277, 815)(278, 1083)(279, 925)(280, 1088)(281, 931)(282, 1090)(283, 816)(284, 821)(285, 819)(286, 1081)(287, 933)(288, 914)(289, 1099)(290, 820)(291, 932)(292, 1016)(293, 942)(294, 1105)(295, 945)(296, 1108)(297, 825)(298, 830)(299, 828)(300, 1000)(301, 947)(302, 1011)(303, 1118)(304, 829)(305, 946)(306, 1075)(307, 957)(308, 834)(309, 1124)(310, 956)(311, 1127)(312, 835)(313, 857)(314, 1094)(315, 966)(316, 1095)(317, 840)(318, 1132)(319, 965)(320, 1063)(321, 972)(322, 1080)(323, 844)(324, 1137)(325, 971)(326, 1143)(327, 846)(328, 984)(329, 975)(330, 1149)(331, 850)(332, 1151)(333, 1077)(334, 981)(335, 1070)(336, 851)(337, 986)(338, 852)(339, 970)(340, 1079)(341, 892)(342, 1039)(343, 988)(344, 1072)(345, 862)(346, 1159)(347, 1044)(348, 997)(349, 860)(350, 1071)(351, 1067)(352, 863)(353, 865)(354, 1009)(355, 1001)(356, 1169)(357, 869)(358, 1172)(359, 1144)(360, 1007)(361, 870)(362, 1012)(363, 1115)(364, 871)(365, 924)(366, 877)(367, 1179)(368, 1102)(369, 1019)(370, 1125)(371, 875)(372, 1177)(373, 1174)(374, 878)(375, 1184)(376, 879)(377, 916)(378, 1112)(379, 1113)(380, 884)(381, 1028)(382, 1189)(383, 1033)(384, 1191)(385, 886)(386, 1030)(387, 1045)(388, 1038)(389, 1096)(390, 1086)(391, 1106)(392, 1042)(393, 1194)(394, 893)(395, 898)(396, 896)(397, 1085)(398, 1109)(399, 897)(400, 1043)(401, 1176)(402, 1053)(403, 999)(404, 903)(405, 1202)(406, 1052)(407, 980)(408, 905)(409, 1064)(410, 1056)(411, 1210)(412, 909)(413, 1212)(414, 968)(415, 1062)(416, 910)(417, 1066)(418, 911)(419, 1051)(420, 998)(421, 936)(422, 1098)(423, 1068)(424, 1157)(425, 921)(426, 1219)(427, 1121)(428, 1078)(429, 982)(430, 919)(431, 991)(432, 987)(433, 922)(434, 1223)(435, 923)(436, 1013)(437, 1035)(438, 1036)(439, 928)(440, 1087)(441, 1228)(442, 1092)(443, 1230)(444, 930)(445, 1089)(446, 1103)(447, 1097)(448, 1114)(449, 964)(450, 983)(451, 1101)(452, 1233)(453, 937)(454, 940)(455, 962)(456, 1032)(457, 941)(458, 990)(459, 1238)(460, 1110)(461, 1200)(462, 944)(463, 1107)(464, 1122)(465, 1116)(466, 1037)(467, 950)(468, 1027)(469, 1049)(470, 1120)(471, 1244)(472, 951)(473, 954)(474, 1026)(475, 1091)(476, 955)(477, 1126)(478, 1018)(479, 1129)(480, 1249)(481, 959)(482, 1164)(483, 1250)(484, 963)(485, 1240)(486, 1135)(487, 1221)(488, 1252)(489, 969)(490, 1214)(491, 1142)(492, 1248)(493, 974)(494, 1217)(495, 1141)(496, 1008)(497, 1148)(498, 1242)(499, 978)(500, 1257)(501, 1147)(502, 1195)(503, 1055)(504, 1261)(505, 1146)(506, 1241)(507, 1154)(508, 1263)(509, 992)(510, 994)(511, 1158)(512, 1266)(513, 1205)(514, 1188)(515, 1162)(516, 1203)(517, 1168)(518, 1021)(519, 1004)(520, 1267)(521, 1167)(522, 1061)(523, 1006)(524, 1171)(525, 1270)(526, 1166)(527, 1020)(528, 1117)(529, 1175)(530, 1015)(531, 1178)(532, 1268)(533, 1227)(534, 1181)(535, 1271)(536, 1186)(537, 1272)(538, 1023)(539, 1190)(540, 1163)(541, 1034)(542, 1243)(543, 1104)(544, 1216)(545, 1226)(546, 1196)(547, 1259)(548, 1041)(549, 1128)(550, 1161)(551, 1274)(552, 1046)(553, 1275)(554, 1050)(555, 1130)(556, 1183)(557, 1198)(558, 1209)(559, 1138)(560, 1059)(561, 1279)(562, 1208)(563, 1234)(564, 1170)(565, 1283)(566, 1207)(567, 1192)(568, 1215)(569, 1139)(570, 1074)(571, 1218)(572, 1140)(573, 1134)(574, 1156)(575, 1225)(576, 1286)(577, 1082)(578, 1229)(579, 1182)(580, 1093)(581, 1193)(582, 1123)(583, 1131)(584, 1133)(585, 1235)(586, 1281)(587, 1100)(588, 1185)(589, 1180)(590, 1111)(591, 1289)(592, 1232)(593, 1155)(594, 1153)(595, 1187)(596, 1246)(597, 1293)(598, 1119)(599, 1224)(600, 1220)(601, 1197)(602, 1231)(603, 1245)(604, 1253)(605, 1136)(606, 1285)(607, 1277)(608, 1199)(609, 1145)(610, 1284)(611, 1150)(612, 1152)(613, 1260)(614, 1287)(615, 1222)(616, 1278)(617, 1160)(618, 1265)(619, 1165)(620, 1237)(621, 1173)(622, 1269)(623, 1204)(624, 1236)(625, 1280)(626, 1256)(627, 1276)(628, 1201)(629, 1295)(630, 1296)(631, 1206)(632, 1292)(633, 1211)(634, 1213)(635, 1282)(636, 1290)(637, 1294)(638, 1247)(639, 1291)(640, 1239)(641, 1288)(642, 1258)(643, 1262)(644, 1273)(645, 1251)(646, 1254)(647, 1255)(648, 1264)
	local type(s) :: { ( 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3 ) }
Outer automorphisms :: reflexible
Dual of E28.3333
Transitivity :: ET+ VT+ AT
Graph::
	v = 54 e = 648 f = 540
	degree seq :: [ 24^54 ]

E28.3338 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 12})
Quotient :: loop
Aut^+ = $<648, 262>$ (small group id <648, 262>)
Aut   = $<1296, 1786>$ (small group id <1296, 1786>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1 * T2)^3, T1^12, (T2 * T1^3 * T2 * T1^-1)^3, (T2 * T1^-2 * T2 * T1^5)^2, T1^-4 * T2 * T1^-3 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-3 * T2, T2 * T1 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-2 ]
Map:: polyhedral non-degenerate
	R = (1, 649, 3, 651)(2, 650, 6, 654)(4, 652, 9, 657)(5, 653, 12, 660)(7, 655, 16, 664)(8, 656, 13, 661)(10, 658, 19, 667)(11, 659, 22, 670)(14, 662, 23, 671)(15, 663, 28, 676)(17, 665, 30, 678)(18, 666, 33, 681)(20, 668, 35, 683)(21, 669, 38, 686)(24, 672, 39, 687)(25, 673, 44, 692)(26, 674, 45, 693)(27, 675, 48, 696)(29, 677, 49, 697)(31, 679, 53, 701)(32, 680, 56, 704)(34, 682, 59, 707)(36, 684, 61, 709)(37, 685, 64, 712)(40, 688, 65, 713)(41, 689, 70, 718)(42, 690, 71, 719)(43, 691, 74, 722)(46, 694, 77, 725)(47, 695, 80, 728)(50, 698, 81, 729)(51, 699, 85, 733)(52, 700, 88, 736)(54, 702, 90, 738)(55, 703, 93, 741)(57, 705, 94, 742)(58, 706, 98, 746)(60, 708, 101, 749)(62, 710, 103, 751)(63, 711, 104, 752)(66, 714, 105, 753)(67, 715, 110, 758)(68, 716, 111, 759)(69, 717, 114, 762)(72, 720, 117, 765)(73, 721, 120, 768)(75, 723, 121, 769)(76, 724, 125, 773)(78, 726, 127, 775)(79, 727, 130, 778)(82, 730, 131, 779)(83, 731, 136, 784)(84, 732, 137, 785)(86, 734, 140, 788)(87, 735, 143, 791)(89, 737, 146, 794)(91, 739, 148, 796)(92, 740, 150, 798)(95, 743, 151, 799)(96, 744, 155, 803)(97, 745, 158, 806)(99, 747, 159, 807)(100, 748, 163, 811)(102, 750, 166, 814)(106, 754, 168, 816)(107, 755, 173, 821)(108, 756, 174, 822)(109, 757, 177, 825)(112, 760, 180, 828)(113, 761, 183, 831)(115, 763, 184, 832)(116, 764, 188, 836)(118, 766, 190, 838)(119, 767, 193, 841)(122, 770, 194, 842)(123, 771, 198, 846)(124, 772, 201, 849)(126, 774, 204, 852)(128, 776, 206, 854)(129, 777, 207, 855)(132, 780, 208, 856)(133, 781, 213, 861)(134, 782, 214, 862)(135, 783, 217, 865)(138, 786, 220, 868)(139, 787, 223, 871)(141, 789, 225, 873)(142, 790, 228, 876)(144, 792, 229, 877)(145, 793, 233, 881)(147, 795, 236, 884)(149, 797, 238, 886)(152, 800, 239, 887)(153, 801, 244, 892)(154, 802, 245, 893)(156, 804, 248, 896)(157, 805, 251, 899)(160, 808, 252, 900)(161, 809, 256, 904)(162, 810, 259, 907)(164, 812, 260, 908)(165, 813, 264, 912)(167, 815, 169, 817)(170, 818, 270, 918)(171, 819, 271, 919)(172, 820, 274, 922)(175, 823, 277, 925)(176, 824, 280, 928)(178, 826, 281, 929)(179, 827, 285, 933)(181, 829, 287, 935)(182, 830, 290, 938)(185, 833, 291, 939)(186, 834, 295, 943)(187, 835, 298, 946)(189, 837, 301, 949)(191, 839, 303, 951)(192, 840, 304, 952)(195, 843, 305, 953)(196, 844, 310, 958)(197, 845, 311, 959)(199, 847, 314, 962)(200, 848, 317, 965)(202, 850, 318, 966)(203, 851, 322, 970)(205, 853, 325, 973)(209, 857, 327, 975)(210, 858, 330, 978)(211, 859, 331, 979)(212, 860, 334, 982)(215, 863, 337, 985)(216, 864, 340, 988)(218, 866, 341, 989)(219, 867, 345, 993)(221, 869, 347, 995)(222, 870, 349, 997)(224, 872, 273, 921)(226, 874, 353, 1001)(227, 875, 355, 1003)(230, 878, 356, 1004)(231, 879, 360, 1008)(232, 880, 363, 1011)(234, 882, 364, 1012)(235, 883, 368, 1016)(237, 885, 328, 976)(240, 888, 370, 1018)(241, 889, 373, 1021)(242, 890, 374, 1022)(243, 891, 377, 1025)(246, 894, 380, 1028)(247, 895, 382, 1030)(249, 897, 279, 927)(250, 898, 369, 1017)(253, 901, 384, 1032)(254, 902, 389, 1037)(255, 903, 390, 1038)(257, 905, 292, 940)(258, 906, 393, 1041)(261, 909, 394, 1042)(262, 910, 397, 1045)(263, 911, 399, 1047)(265, 913, 400, 1048)(266, 914, 354, 1002)(267, 915, 403, 1051)(268, 916, 404, 1052)(269, 917, 406, 1054)(272, 920, 408, 1056)(275, 923, 410, 1058)(276, 924, 413, 1061)(278, 926, 415, 1063)(282, 930, 418, 1066)(283, 931, 421, 1069)(284, 932, 423, 1071)(286, 934, 426, 1074)(288, 936, 428, 1076)(289, 937, 429, 1077)(293, 941, 434, 1082)(294, 942, 435, 1083)(296, 944, 438, 1086)(297, 945, 440, 1088)(299, 947, 441, 1089)(300, 948, 445, 1093)(302, 950, 448, 1096)(306, 954, 449, 1097)(307, 955, 451, 1099)(308, 956, 452, 1100)(309, 957, 455, 1103)(312, 960, 458, 1106)(313, 961, 461, 1109)(315, 963, 463, 1111)(316, 964, 464, 1112)(319, 967, 465, 1113)(320, 968, 469, 1117)(321, 969, 472, 1120)(323, 971, 473, 1121)(324, 972, 476, 1124)(326, 974, 450, 1098)(329, 977, 478, 1126)(332, 980, 480, 1128)(333, 981, 462, 1110)(335, 983, 481, 1129)(336, 984, 485, 1133)(338, 986, 487, 1135)(339, 987, 489, 1137)(342, 990, 490, 1138)(343, 991, 494, 1142)(344, 992, 497, 1145)(346, 994, 500, 1148)(348, 996, 502, 1150)(350, 998, 503, 1151)(351, 999, 411, 1059)(352, 1000, 507, 1155)(357, 1005, 470, 1118)(358, 1006, 512, 1160)(359, 1007, 513, 1161)(361, 1009, 491, 1139)(362, 1010, 515, 1163)(365, 1013, 516, 1164)(366, 1014, 519, 1167)(367, 1015, 521, 1169)(371, 1019, 488, 1136)(372, 1020, 522, 1170)(375, 1023, 525, 1173)(376, 1024, 527, 1175)(378, 1026, 528, 1176)(379, 1027, 532, 1180)(381, 1029, 535, 1183)(383, 1031, 477, 1125)(385, 1033, 409, 1057)(386, 1034, 539, 1187)(387, 1035, 540, 1188)(388, 1036, 542, 1190)(391, 1039, 432, 1080)(392, 1040, 416, 1064)(395, 1043, 546, 1194)(396, 1044, 549, 1197)(398, 1046, 427, 1075)(401, 1049, 508, 1156)(402, 1050, 551, 1199)(405, 1053, 552, 1200)(407, 1055, 553, 1201)(412, 1060, 557, 1205)(414, 1062, 560, 1208)(417, 1065, 561, 1209)(419, 1067, 564, 1212)(420, 1068, 565, 1213)(422, 1070, 568, 1216)(424, 1072, 569, 1217)(425, 1073, 573, 1221)(430, 1078, 576, 1224)(431, 1079, 577, 1225)(433, 1081, 580, 1228)(436, 1084, 583, 1231)(437, 1085, 586, 1234)(439, 1087, 588, 1236)(442, 1090, 589, 1237)(443, 1091, 593, 1241)(444, 1092, 596, 1244)(446, 1094, 597, 1245)(447, 1095, 600, 1248)(453, 1101, 602, 1250)(454, 1102, 587, 1235)(456, 1104, 603, 1251)(457, 1105, 607, 1255)(459, 1107, 609, 1257)(460, 1108, 611, 1259)(466, 1114, 594, 1242)(467, 1115, 617, 1265)(468, 1116, 618, 1266)(471, 1119, 620, 1268)(474, 1122, 621, 1269)(475, 1123, 624, 1272)(479, 1127, 623, 1271)(482, 1130, 613, 1261)(483, 1131, 579, 1227)(484, 1132, 559, 1207)(486, 1134, 582, 1230)(492, 1140, 627, 1275)(493, 1141, 574, 1222)(495, 1143, 616, 1264)(496, 1144, 595, 1243)(498, 1146, 578, 1226)(499, 1147, 629, 1277)(501, 1149, 630, 1278)(504, 1152, 622, 1270)(505, 1153, 585, 1233)(506, 1154, 614, 1262)(509, 1157, 562, 1210)(510, 1158, 619, 1267)(511, 1159, 555, 1203)(514, 1162, 591, 1239)(517, 1165, 633, 1281)(518, 1166, 567, 1215)(520, 1168, 592, 1240)(523, 1171, 604, 1252)(524, 1172, 635, 1283)(526, 1174, 606, 1254)(529, 1177, 601, 1249)(530, 1178, 632, 1280)(531, 1179, 599, 1247)(533, 1181, 558, 1206)(534, 1182, 634, 1282)(536, 1184, 612, 1260)(537, 1185, 554, 1202)(538, 1186, 625, 1273)(541, 1189, 626, 1274)(543, 1191, 605, 1253)(544, 1192, 570, 1218)(545, 1193, 628, 1276)(547, 1195, 590, 1238)(548, 1196, 610, 1258)(550, 1198, 575, 1223)(556, 1204, 636, 1284)(563, 1211, 637, 1285)(566, 1214, 639, 1287)(571, 1219, 640, 1288)(572, 1220, 641, 1289)(581, 1229, 642, 1290)(584, 1232, 644, 1292)(598, 1246, 646, 1294)(608, 1256, 638, 1286)(615, 1263, 645, 1293)(631, 1279, 647, 1295)(643, 1291, 648, 1296)
	L = (1, 650)(2, 653)(3, 655)(4, 649)(5, 659)(6, 661)(7, 663)(8, 651)(9, 666)(10, 652)(11, 669)(12, 671)(13, 673)(14, 654)(15, 675)(16, 657)(17, 656)(18, 680)(19, 682)(20, 658)(21, 685)(22, 687)(23, 689)(24, 660)(25, 691)(26, 662)(27, 695)(28, 697)(29, 664)(30, 700)(31, 665)(32, 703)(33, 667)(34, 706)(35, 708)(36, 668)(37, 711)(38, 713)(39, 715)(40, 670)(41, 717)(42, 672)(43, 721)(44, 678)(45, 724)(46, 674)(47, 727)(48, 729)(49, 731)(50, 676)(51, 677)(52, 735)(53, 737)(54, 679)(55, 740)(56, 742)(57, 681)(58, 745)(59, 683)(60, 748)(61, 750)(62, 684)(63, 710)(64, 753)(65, 755)(66, 686)(67, 757)(68, 688)(69, 761)(70, 693)(71, 764)(72, 690)(73, 767)(74, 769)(75, 692)(76, 772)(77, 774)(78, 694)(79, 777)(80, 779)(81, 781)(82, 696)(83, 783)(84, 698)(85, 787)(86, 699)(87, 790)(88, 701)(89, 793)(90, 795)(91, 702)(92, 797)(93, 799)(94, 801)(95, 704)(96, 705)(97, 805)(98, 807)(99, 707)(100, 810)(101, 709)(102, 813)(103, 815)(104, 816)(105, 818)(106, 712)(107, 820)(108, 714)(109, 824)(110, 719)(111, 827)(112, 716)(113, 830)(114, 832)(115, 718)(116, 835)(117, 837)(118, 720)(119, 840)(120, 842)(121, 844)(122, 722)(123, 723)(124, 848)(125, 725)(126, 851)(127, 853)(128, 726)(129, 739)(130, 856)(131, 858)(132, 728)(133, 860)(134, 730)(135, 864)(136, 733)(137, 867)(138, 732)(139, 870)(140, 872)(141, 734)(142, 875)(143, 877)(144, 736)(145, 880)(146, 738)(147, 883)(148, 885)(149, 874)(150, 887)(151, 889)(152, 741)(153, 891)(154, 743)(155, 895)(156, 744)(157, 898)(158, 900)(159, 902)(160, 746)(161, 747)(162, 906)(163, 908)(164, 749)(165, 911)(166, 751)(167, 914)(168, 915)(169, 752)(170, 917)(171, 754)(172, 921)(173, 759)(174, 924)(175, 756)(176, 927)(177, 929)(178, 758)(179, 932)(180, 934)(181, 760)(182, 937)(183, 939)(184, 941)(185, 762)(186, 763)(187, 945)(188, 765)(189, 948)(190, 950)(191, 766)(192, 776)(193, 953)(194, 955)(195, 768)(196, 957)(197, 770)(198, 961)(199, 771)(200, 964)(201, 966)(202, 773)(203, 969)(204, 775)(205, 972)(206, 974)(207, 975)(208, 977)(209, 778)(210, 971)(211, 780)(212, 981)(213, 785)(214, 984)(215, 782)(216, 987)(217, 989)(218, 784)(219, 992)(220, 994)(221, 786)(222, 996)(223, 788)(224, 999)(225, 1000)(226, 789)(227, 1002)(228, 1004)(229, 1006)(230, 791)(231, 792)(232, 1010)(233, 1012)(234, 794)(235, 1015)(236, 796)(237, 1017)(238, 1018)(239, 1014)(240, 798)(241, 1020)(242, 800)(243, 1024)(244, 803)(245, 1027)(246, 802)(247, 1029)(248, 928)(249, 804)(250, 1031)(251, 1032)(252, 1034)(253, 806)(254, 1036)(255, 808)(256, 1039)(257, 809)(258, 1040)(259, 1042)(260, 1044)(261, 811)(262, 812)(263, 1046)(264, 1048)(265, 814)(266, 1049)(267, 1050)(268, 817)(269, 884)(270, 822)(271, 869)(272, 819)(273, 873)(274, 1058)(275, 821)(276, 894)(277, 1062)(278, 823)(279, 1065)(280, 1066)(281, 1067)(282, 825)(283, 826)(284, 903)(285, 828)(286, 1073)(287, 1075)(288, 829)(289, 839)(290, 905)(291, 1079)(292, 831)(293, 1081)(294, 833)(295, 1085)(296, 834)(297, 909)(298, 1089)(299, 836)(300, 1092)(301, 838)(302, 1095)(303, 857)(304, 1097)(305, 910)(306, 841)(307, 1094)(308, 843)(309, 1102)(310, 846)(311, 1105)(312, 845)(313, 1108)(314, 1110)(315, 847)(316, 912)(317, 1113)(318, 1115)(319, 849)(320, 850)(321, 1119)(322, 1121)(323, 852)(324, 1123)(325, 854)(326, 886)(327, 1077)(328, 855)(329, 913)(330, 862)(331, 1107)(332, 859)(333, 1111)(334, 1129)(335, 861)(336, 1132)(337, 1134)(338, 863)(339, 1051)(340, 1138)(341, 1140)(342, 865)(343, 866)(344, 1144)(345, 868)(346, 1147)(347, 1056)(348, 1149)(349, 1151)(350, 871)(351, 1154)(352, 1064)(353, 1098)(354, 1052)(355, 1118)(356, 1157)(357, 876)(358, 1159)(359, 878)(360, 1162)(361, 879)(362, 1124)(363, 1164)(364, 1166)(365, 881)(366, 882)(367, 1168)(368, 1054)(369, 1057)(370, 1053)(371, 888)(372, 1148)(373, 893)(374, 1172)(375, 890)(376, 1055)(377, 1176)(378, 892)(379, 1179)(380, 1181)(381, 1182)(382, 896)(383, 897)(384, 1153)(385, 899)(386, 1186)(387, 901)(388, 1060)(389, 904)(390, 1192)(391, 1193)(392, 1078)(393, 1194)(394, 1195)(395, 907)(396, 1070)(397, 1100)(398, 1076)(399, 1112)(400, 1087)(401, 1096)(402, 973)(403, 919)(404, 963)(405, 916)(406, 1201)(407, 918)(408, 1202)(409, 920)(410, 1203)(411, 922)(412, 923)(413, 925)(414, 1207)(415, 1041)(416, 926)(417, 936)(418, 1210)(419, 1211)(420, 930)(421, 1215)(422, 931)(423, 1217)(424, 933)(425, 1220)(426, 935)(427, 1223)(428, 954)(429, 1224)(430, 938)(431, 1222)(432, 940)(433, 1227)(434, 943)(435, 1230)(436, 942)(437, 1233)(438, 1235)(439, 944)(440, 1237)(441, 1239)(442, 946)(443, 947)(444, 1243)(445, 1245)(446, 949)(447, 1247)(448, 951)(449, 1209)(450, 952)(451, 959)(452, 1232)(453, 956)(454, 1236)(455, 1251)(456, 958)(457, 1254)(458, 1256)(459, 960)(460, 1258)(461, 962)(462, 1261)(463, 1200)(464, 1242)(465, 1262)(466, 965)(467, 1264)(468, 967)(469, 1267)(470, 968)(471, 1248)(472, 1269)(473, 1271)(474, 970)(475, 980)(476, 1199)(477, 976)(478, 979)(479, 978)(480, 1218)(481, 1228)(482, 982)(483, 983)(484, 1007)(485, 985)(486, 1231)(487, 1240)(488, 986)(489, 1009)(490, 1225)(491, 988)(492, 1212)(493, 990)(494, 1265)(495, 991)(496, 1013)(497, 1226)(498, 993)(499, 1238)(500, 995)(501, 1016)(502, 1270)(503, 1234)(504, 997)(505, 998)(506, 1266)(507, 1001)(508, 1003)(509, 1213)(510, 1005)(511, 1205)(512, 1008)(513, 1208)(514, 1241)(515, 1281)(516, 1244)(517, 1011)(518, 1216)(519, 1022)(520, 1019)(521, 1278)(522, 1252)(523, 1021)(524, 1221)(525, 1255)(526, 1023)(527, 1249)(528, 1229)(529, 1025)(530, 1026)(531, 1268)(532, 1028)(533, 1263)(534, 1204)(535, 1260)(536, 1030)(537, 1033)(538, 1206)(539, 1038)(540, 1246)(541, 1035)(542, 1253)(543, 1037)(544, 1272)(545, 1214)(546, 1259)(547, 1219)(548, 1043)(549, 1045)(550, 1047)(551, 1137)(552, 1136)(553, 1143)(554, 1174)(555, 1178)(556, 1059)(557, 1127)(558, 1061)(559, 1189)(560, 1063)(561, 1125)(562, 1161)(563, 1191)(564, 1069)(565, 1286)(566, 1068)(567, 1167)(568, 1131)(569, 1158)(570, 1071)(571, 1072)(572, 1196)(573, 1141)(574, 1074)(575, 1145)(576, 1155)(577, 1083)(578, 1080)(579, 1197)(580, 1290)(581, 1082)(582, 1135)(583, 1291)(584, 1084)(585, 1188)(586, 1086)(587, 1171)(588, 1126)(589, 1169)(590, 1088)(591, 1139)(592, 1090)(593, 1293)(594, 1091)(595, 1198)(596, 1294)(597, 1177)(598, 1093)(599, 1101)(600, 1156)(601, 1099)(602, 1180)(603, 1285)(604, 1103)(605, 1104)(606, 1116)(607, 1106)(608, 1287)(609, 1128)(610, 1122)(611, 1184)(612, 1109)(613, 1187)(614, 1284)(615, 1114)(616, 1175)(617, 1117)(618, 1185)(619, 1288)(620, 1152)(621, 1289)(622, 1120)(623, 1190)(624, 1163)(625, 1130)(626, 1133)(627, 1142)(628, 1146)(629, 1170)(630, 1295)(631, 1150)(632, 1160)(633, 1183)(634, 1165)(635, 1173)(636, 1296)(637, 1275)(638, 1257)(639, 1279)(640, 1277)(641, 1283)(642, 1280)(643, 1282)(644, 1250)(645, 1273)(646, 1274)(647, 1276)(648, 1292)
	local type(s) :: { ( 3, 12, 3, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3334
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 324 e = 648 f = 270
	degree seq :: [ 4^324 ]

E28.3339 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 12})
Quotient :: dipole
Aut^+ = $<648, 262>$ (small group id <648, 262>)
Aut   = $<1296, 1786>$ (small group id <1296, 1786>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, Y2^3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y2^-1)^12, (Y3 * Y2^-1)^12, (Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1)^3, Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 ]
Map::
	R = (1, 649, 2, 650)(3, 651, 7, 655)(4, 652, 8, 656)(5, 653, 9, 657)(6, 654, 10, 658)(11, 659, 19, 667)(12, 660, 20, 668)(13, 661, 21, 669)(14, 662, 22, 670)(15, 663, 23, 671)(16, 664, 24, 672)(17, 665, 25, 673)(18, 666, 26, 674)(27, 675, 43, 691)(28, 676, 44, 692)(29, 677, 45, 693)(30, 678, 46, 694)(31, 679, 47, 695)(32, 680, 48, 696)(33, 681, 49, 697)(34, 682, 50, 698)(35, 683, 51, 699)(36, 684, 52, 700)(37, 685, 53, 701)(38, 686, 54, 702)(39, 687, 55, 703)(40, 688, 56, 704)(41, 689, 57, 705)(42, 690, 58, 706)(59, 707, 91, 739)(60, 708, 92, 740)(61, 709, 93, 741)(62, 710, 94, 742)(63, 711, 95, 743)(64, 712, 96, 744)(65, 713, 97, 745)(66, 714, 98, 746)(67, 715, 99, 747)(68, 716, 100, 748)(69, 717, 101, 749)(70, 718, 102, 750)(71, 719, 103, 751)(72, 720, 104, 752)(73, 721, 105, 753)(74, 722, 106, 754)(75, 723, 107, 755)(76, 724, 108, 756)(77, 725, 109, 757)(78, 726, 110, 758)(79, 727, 111, 759)(80, 728, 112, 760)(81, 729, 113, 761)(82, 730, 114, 762)(83, 731, 115, 763)(84, 732, 116, 764)(85, 733, 117, 765)(86, 734, 118, 766)(87, 735, 119, 767)(88, 736, 120, 768)(89, 737, 121, 769)(90, 738, 122, 770)(123, 771, 187, 835)(124, 772, 188, 836)(125, 773, 189, 837)(126, 774, 190, 838)(127, 775, 191, 839)(128, 776, 192, 840)(129, 777, 193, 841)(130, 778, 194, 842)(131, 779, 195, 843)(132, 780, 196, 844)(133, 781, 197, 845)(134, 782, 198, 846)(135, 783, 199, 847)(136, 784, 200, 848)(137, 785, 201, 849)(138, 786, 202, 850)(139, 787, 203, 851)(140, 788, 204, 852)(141, 789, 205, 853)(142, 790, 206, 854)(143, 791, 207, 855)(144, 792, 208, 856)(145, 793, 209, 857)(146, 794, 210, 858)(147, 795, 211, 859)(148, 796, 212, 860)(149, 797, 213, 861)(150, 798, 214, 862)(151, 799, 215, 863)(152, 800, 216, 864)(153, 801, 217, 865)(154, 802, 218, 866)(155, 803, 219, 867)(156, 804, 220, 868)(157, 805, 221, 869)(158, 806, 222, 870)(159, 807, 223, 871)(160, 808, 224, 872)(161, 809, 225, 873)(162, 810, 226, 874)(163, 811, 227, 875)(164, 812, 228, 876)(165, 813, 229, 877)(166, 814, 230, 878)(167, 815, 231, 879)(168, 816, 232, 880)(169, 817, 233, 881)(170, 818, 234, 882)(171, 819, 235, 883)(172, 820, 236, 884)(173, 821, 237, 885)(174, 822, 238, 886)(175, 823, 239, 887)(176, 824, 240, 888)(177, 825, 241, 889)(178, 826, 242, 890)(179, 827, 243, 891)(180, 828, 244, 892)(181, 829, 245, 893)(182, 830, 246, 894)(183, 831, 247, 895)(184, 832, 248, 896)(185, 833, 249, 897)(186, 834, 250, 898)(251, 899, 424, 1072)(252, 900, 426, 1074)(253, 901, 367, 1015)(254, 902, 428, 1076)(255, 903, 430, 1078)(256, 904, 358, 1006)(257, 905, 431, 1079)(258, 906, 433, 1081)(259, 907, 326, 974)(260, 908, 435, 1083)(261, 909, 346, 994)(262, 910, 322, 970)(263, 911, 437, 1085)(264, 912, 438, 1086)(265, 913, 328, 976)(266, 914, 441, 1089)(267, 915, 442, 1090)(268, 916, 444, 1092)(269, 917, 403, 1051)(270, 918, 446, 1094)(271, 919, 339, 987)(272, 920, 327, 975)(273, 921, 406, 1054)(274, 922, 447, 1095)(275, 923, 341, 989)(276, 924, 449, 1097)(277, 925, 405, 1053)(278, 926, 342, 990)(279, 927, 451, 1099)(280, 928, 395, 1043)(281, 929, 354, 1002)(282, 930, 453, 1101)(283, 931, 454, 1102)(284, 932, 456, 1104)(285, 933, 338, 986)(286, 934, 458, 1106)(287, 935, 460, 1108)(288, 936, 366, 1014)(289, 937, 415, 1063)(290, 938, 462, 1110)(291, 939, 321, 969)(292, 940, 419, 1067)(293, 941, 330, 978)(294, 942, 325, 973)(295, 943, 414, 1062)(296, 944, 465, 1113)(297, 945, 324, 972)(298, 946, 468, 1116)(299, 947, 469, 1117)(300, 948, 471, 1119)(301, 949, 472, 1120)(302, 950, 474, 1122)(303, 951, 359, 1007)(304, 952, 323, 971)(305, 953, 475, 1123)(306, 954, 476, 1124)(307, 955, 344, 992)(308, 956, 478, 1126)(309, 957, 479, 1127)(310, 958, 345, 993)(311, 959, 481, 1129)(312, 960, 482, 1130)(313, 961, 362, 1010)(314, 962, 392, 1040)(315, 963, 316, 964)(317, 965, 319, 967)(318, 966, 320, 968)(329, 977, 331, 979)(332, 980, 343, 991)(333, 981, 347, 995)(334, 982, 348, 996)(335, 983, 349, 997)(336, 984, 350, 998)(337, 985, 351, 999)(340, 988, 352, 1000)(353, 1001, 382, 1030)(355, 1003, 383, 1031)(356, 1004, 384, 1032)(357, 1005, 385, 1033)(360, 1008, 386, 1034)(361, 1009, 387, 1035)(363, 1011, 388, 1036)(364, 1012, 389, 1037)(365, 1013, 390, 1038)(368, 1016, 391, 1039)(369, 1017, 393, 1041)(370, 1018, 396, 1044)(371, 1019, 398, 1046)(372, 1020, 400, 1048)(373, 1021, 402, 1050)(374, 1022, 404, 1052)(375, 1023, 407, 1055)(376, 1024, 409, 1057)(377, 1025, 411, 1059)(378, 1026, 413, 1061)(379, 1027, 417, 1065)(380, 1028, 394, 1042)(381, 1029, 423, 1071)(397, 1045, 588, 1236)(399, 1047, 557, 1205)(401, 1049, 601, 1249)(408, 1056, 565, 1213)(410, 1058, 585, 1233)(412, 1060, 494, 1142)(416, 1064, 611, 1259)(418, 1066, 463, 1111)(420, 1068, 562, 1210)(421, 1069, 464, 1112)(422, 1070, 572, 1220)(425, 1073, 599, 1247)(427, 1075, 552, 1200)(429, 1077, 614, 1262)(432, 1080, 620, 1268)(434, 1082, 489, 1137)(436, 1084, 553, 1201)(439, 1087, 605, 1253)(440, 1088, 491, 1139)(443, 1091, 554, 1202)(445, 1093, 604, 1252)(448, 1096, 514, 1162)(450, 1098, 516, 1164)(452, 1100, 538, 1186)(455, 1103, 602, 1250)(457, 1105, 510, 1158)(459, 1107, 606, 1254)(461, 1109, 610, 1258)(466, 1114, 485, 1133)(467, 1115, 487, 1135)(470, 1118, 511, 1159)(473, 1121, 590, 1238)(477, 1125, 520, 1168)(480, 1128, 522, 1170)(483, 1131, 547, 1195)(484, 1132, 575, 1223)(486, 1134, 636, 1284)(488, 1136, 641, 1289)(490, 1138, 622, 1270)(492, 1140, 637, 1285)(493, 1141, 496, 1144)(495, 1143, 638, 1286)(497, 1145, 607, 1255)(498, 1146, 518, 1166)(499, 1147, 603, 1251)(500, 1148, 598, 1246)(501, 1149, 524, 1172)(502, 1150, 623, 1271)(503, 1151, 579, 1227)(504, 1152, 526, 1174)(505, 1153, 527, 1175)(506, 1154, 584, 1232)(507, 1155, 529, 1177)(508, 1156, 577, 1225)(509, 1157, 532, 1180)(512, 1160, 635, 1283)(513, 1161, 570, 1218)(515, 1163, 576, 1224)(517, 1165, 567, 1215)(519, 1167, 627, 1275)(521, 1169, 631, 1279)(523, 1171, 625, 1273)(525, 1173, 550, 1198)(528, 1176, 545, 1193)(530, 1178, 596, 1244)(531, 1179, 642, 1290)(533, 1181, 618, 1266)(534, 1182, 549, 1197)(535, 1183, 586, 1234)(536, 1184, 578, 1226)(537, 1185, 629, 1277)(539, 1187, 571, 1219)(540, 1188, 568, 1216)(541, 1189, 589, 1237)(542, 1190, 566, 1214)(543, 1191, 582, 1230)(544, 1192, 564, 1212)(546, 1194, 561, 1209)(548, 1196, 628, 1276)(551, 1199, 560, 1208)(555, 1203, 621, 1269)(556, 1204, 591, 1239)(558, 1206, 643, 1291)(559, 1207, 595, 1243)(563, 1211, 615, 1263)(569, 1217, 609, 1257)(573, 1221, 613, 1261)(574, 1222, 593, 1241)(580, 1228, 619, 1267)(581, 1229, 608, 1256)(583, 1231, 634, 1282)(587, 1235, 644, 1292)(592, 1240, 648, 1296)(594, 1242, 626, 1274)(597, 1245, 617, 1265)(600, 1248, 640, 1288)(612, 1260, 630, 1278)(616, 1264, 647, 1295)(624, 1272, 639, 1287)(632, 1280, 646, 1294)(633, 1281, 645, 1293)(1297, 1945, 1299, 1947, 1300, 1948)(1298, 1946, 1301, 1949, 1302, 1950)(1303, 1951, 1307, 1955, 1308, 1956)(1304, 1952, 1309, 1957, 1310, 1958)(1305, 1953, 1311, 1959, 1312, 1960)(1306, 1954, 1313, 1961, 1314, 1962)(1315, 1963, 1323, 1971, 1324, 1972)(1316, 1964, 1325, 1973, 1326, 1974)(1317, 1965, 1327, 1975, 1328, 1976)(1318, 1966, 1329, 1977, 1330, 1978)(1319, 1967, 1331, 1979, 1332, 1980)(1320, 1968, 1333, 1981, 1334, 1982)(1321, 1969, 1335, 1983, 1336, 1984)(1322, 1970, 1337, 1985, 1338, 1986)(1339, 1987, 1355, 2003, 1356, 2004)(1340, 1988, 1357, 2005, 1358, 2006)(1341, 1989, 1359, 2007, 1360, 2008)(1342, 1990, 1361, 2009, 1362, 2010)(1343, 1991, 1363, 2011, 1364, 2012)(1344, 1992, 1365, 2013, 1366, 2014)(1345, 1993, 1367, 2015, 1368, 2016)(1346, 1994, 1369, 2017, 1370, 2018)(1347, 1995, 1371, 2019, 1372, 2020)(1348, 1996, 1373, 2021, 1374, 2022)(1349, 1997, 1375, 2023, 1376, 2024)(1350, 1998, 1377, 2025, 1378, 2026)(1351, 1999, 1379, 2027, 1380, 2028)(1352, 2000, 1381, 2029, 1382, 2030)(1353, 2001, 1383, 2031, 1384, 2032)(1354, 2002, 1385, 2033, 1386, 2034)(1387, 2035, 1419, 2067, 1420, 2068)(1388, 2036, 1421, 2069, 1422, 2070)(1389, 2037, 1423, 2071, 1424, 2072)(1390, 2038, 1425, 2073, 1426, 2074)(1391, 2039, 1427, 2075, 1428, 2076)(1392, 2040, 1429, 2077, 1430, 2078)(1393, 2041, 1431, 2079, 1432, 2080)(1394, 2042, 1433, 2081, 1434, 2082)(1395, 2043, 1435, 2083, 1436, 2084)(1396, 2044, 1437, 2085, 1438, 2086)(1397, 2045, 1439, 2087, 1440, 2088)(1398, 2046, 1441, 2089, 1442, 2090)(1399, 2047, 1443, 2091, 1444, 2092)(1400, 2048, 1445, 2093, 1446, 2094)(1401, 2049, 1447, 2095, 1448, 2096)(1402, 2050, 1449, 2097, 1450, 2098)(1403, 2051, 1451, 2099, 1452, 2100)(1404, 2052, 1453, 2101, 1454, 2102)(1405, 2053, 1455, 2103, 1456, 2104)(1406, 2054, 1457, 2105, 1458, 2106)(1407, 2055, 1459, 2107, 1460, 2108)(1408, 2056, 1461, 2109, 1462, 2110)(1409, 2057, 1463, 2111, 1464, 2112)(1410, 2058, 1465, 2113, 1466, 2114)(1411, 2059, 1467, 2115, 1468, 2116)(1412, 2060, 1469, 2117, 1470, 2118)(1413, 2061, 1471, 2119, 1472, 2120)(1414, 2062, 1473, 2121, 1474, 2122)(1415, 2063, 1475, 2123, 1476, 2124)(1416, 2064, 1477, 2125, 1478, 2126)(1417, 2065, 1479, 2127, 1480, 2128)(1418, 2066, 1481, 2129, 1482, 2130)(1483, 2131, 1547, 2195, 1548, 2196)(1484, 2132, 1549, 2197, 1550, 2198)(1485, 2133, 1551, 2199, 1552, 2200)(1486, 2134, 1553, 2201, 1554, 2202)(1487, 2135, 1555, 2203, 1556, 2204)(1488, 2136, 1557, 2205, 1558, 2206)(1489, 2137, 1559, 2207, 1560, 2208)(1490, 2138, 1561, 2209, 1562, 2210)(1491, 2139, 1563, 2211, 1564, 2212)(1492, 2140, 1565, 2213, 1566, 2214)(1493, 2141, 1567, 2215, 1568, 2216)(1494, 2142, 1569, 2217, 1570, 2218)(1495, 2143, 1571, 2219, 1572, 2220)(1496, 2144, 1573, 2221, 1574, 2222)(1497, 2145, 1575, 2223, 1576, 2224)(1498, 2146, 1577, 2225, 1578, 2226)(1499, 2147, 1579, 2227, 1580, 2228)(1500, 2148, 1581, 2229, 1582, 2230)(1501, 2149, 1583, 2231, 1584, 2232)(1502, 2150, 1585, 2233, 1586, 2234)(1503, 2151, 1587, 2235, 1588, 2236)(1504, 2152, 1589, 2237, 1590, 2238)(1505, 2153, 1591, 2239, 1592, 2240)(1506, 2154, 1593, 2241, 1594, 2242)(1507, 2155, 1595, 2243, 1596, 2244)(1508, 2156, 1597, 2245, 1598, 2246)(1509, 2157, 1599, 2247, 1600, 2248)(1510, 2158, 1601, 2249, 1602, 2250)(1511, 2159, 1603, 2251, 1604, 2252)(1512, 2160, 1605, 2253, 1606, 2254)(1513, 2161, 1607, 2255, 1608, 2256)(1514, 2162, 1609, 2257, 1610, 2258)(1515, 2163, 1688, 2336, 1886, 2534)(1516, 2164, 1690, 2338, 1888, 2536)(1517, 2165, 1691, 2339, 1700, 2348)(1518, 2166, 1693, 2341, 1892, 2540)(1519, 2167, 1620, 2268, 1782, 2430)(1520, 2168, 1635, 2283, 1614, 2262)(1521, 2169, 1695, 2343, 1843, 2491)(1522, 2170, 1627, 2275, 1791, 2439)(1523, 2171, 1697, 2345, 1772, 2420)(1524, 2172, 1699, 2347, 1899, 2547)(1525, 2173, 1642, 2290, 1626, 2274)(1526, 2174, 1701, 2349, 1901, 2549)(1527, 2175, 1630, 2278, 1799, 2447)(1528, 2176, 1702, 2350, 1631, 2279)(1529, 2177, 1704, 2352, 1726, 2374)(1530, 2178, 1692, 2340, 1890, 2538)(1531, 2179, 1706, 2354, 1839, 2487)(1532, 2180, 1641, 2289, 1817, 2465)(1533, 2181, 1708, 2356, 1715, 2363)(1534, 2182, 1660, 2308, 1845, 2493)(1535, 2183, 1613, 2261, 1662, 2310)(1536, 2184, 1623, 2271, 1619, 2267)(1537, 2185, 1659, 2307, 1761, 2409)(1538, 2186, 1622, 2270, 1784, 2432)(1539, 2187, 1712, 2360, 1820, 2468)(1540, 2188, 1714, 2362, 1895, 2543)(1541, 2189, 1703, 2351, 1621, 2269)(1542, 2190, 1716, 2364, 1740, 2388)(1543, 2191, 1633, 2281, 1804, 2452)(1544, 2192, 1717, 2365, 1634, 2282)(1545, 2193, 1718, 2366, 1909, 2557)(1546, 2194, 1709, 2357, 1720, 2368)(1611, 2259, 1654, 2302, 1655, 2303)(1612, 2260, 1670, 2318, 1671, 2319)(1615, 2263, 1732, 2380, 1735, 2383)(1616, 2264, 1760, 2408, 1762, 2410)(1617, 2265, 1780, 2428, 1743, 2391)(1618, 2266, 1775, 2423, 1781, 2429)(1624, 2272, 1786, 2434, 1756, 2404)(1625, 2273, 1788, 2436, 1790, 2438)(1628, 2276, 1793, 2441, 1795, 2443)(1629, 2277, 1796, 2444, 1798, 2446)(1632, 2280, 1802, 2450, 1742, 2390)(1636, 2284, 1807, 2455, 1808, 2456)(1637, 2285, 1809, 2457, 1792, 2440)(1638, 2286, 1811, 2459, 1767, 2415)(1639, 2287, 1813, 2461, 1729, 2377)(1640, 2288, 1815, 2463, 1814, 2462)(1643, 2291, 1819, 2467, 1758, 2406)(1644, 2292, 1821, 2469, 1736, 2384)(1645, 2293, 1739, 2387, 1797, 2445)(1646, 2294, 1824, 2472, 1826, 2474)(1647, 2295, 1827, 2475, 1825, 2473)(1648, 2296, 1829, 2477, 1830, 2478)(1649, 2297, 1831, 2479, 1733, 2381)(1650, 2298, 1833, 2481, 1835, 2483)(1651, 2299, 1734, 2382, 1771, 2419)(1652, 2300, 1837, 2485, 1770, 2418)(1653, 2301, 1838, 2486, 1747, 2395)(1656, 2304, 1707, 2355, 1840, 2488)(1657, 2305, 1803, 2451, 1710, 2358)(1658, 2306, 1842, 2490, 1844, 2492)(1661, 2309, 1846, 2494, 1777, 2425)(1663, 2311, 1778, 2426, 1849, 2497)(1664, 2312, 1850, 2498, 1851, 2499)(1665, 2313, 1757, 2405, 1853, 2501)(1666, 2314, 1854, 2502, 1856, 2504)(1667, 2315, 1779, 2427, 1858, 2506)(1668, 2316, 1859, 2507, 1721, 2369)(1669, 2317, 1860, 2508, 1861, 2509)(1672, 2320, 1683, 2331, 1862, 2510)(1673, 2321, 1794, 2442, 1684, 2332)(1674, 2322, 1864, 2512, 1865, 2513)(1675, 2323, 1866, 2514, 1868, 2516)(1676, 2324, 1869, 2517, 1871, 2519)(1677, 2325, 1872, 2520, 1725, 2373)(1678, 2326, 1873, 2521, 1763, 2411)(1679, 2327, 1766, 2414, 1789, 2437)(1680, 2328, 1822, 2470, 1876, 2524)(1681, 2329, 1877, 2525, 1875, 2523)(1682, 2330, 1879, 2527, 1880, 2528)(1685, 2333, 1874, 2522, 1855, 2503)(1686, 2334, 1883, 2531, 1882, 2530)(1687, 2335, 1884, 2532, 1885, 2533)(1689, 2337, 1774, 2422, 1785, 2433)(1694, 2342, 1894, 2542, 1787, 2435)(1696, 2344, 1810, 2458, 1896, 2544)(1698, 2346, 1898, 2546, 1745, 2393)(1705, 2353, 1902, 2550, 1903, 2551)(1711, 2359, 1887, 2535, 1834, 2482)(1713, 2361, 1908, 2556, 1906, 2554)(1719, 2367, 1727, 2375, 1911, 2559)(1722, 2370, 1812, 2460, 1912, 2560)(1723, 2371, 1913, 2561, 1828, 2476)(1724, 2372, 1914, 2562, 1915, 2563)(1728, 2376, 1852, 2500, 1751, 2399)(1730, 2378, 1917, 2565, 1918, 2566)(1731, 2379, 1768, 2416, 1919, 2567)(1737, 2385, 1848, 2496, 1920, 2568)(1738, 2386, 1801, 2449, 1847, 2495)(1741, 2389, 1881, 2529, 1922, 2570)(1744, 2392, 1923, 2571, 1925, 2573)(1746, 2394, 1867, 2515, 1897, 2545)(1748, 2396, 1927, 2575, 1755, 2403)(1749, 2397, 1900, 2548, 1750, 2398)(1752, 2400, 1818, 2466, 1928, 2576)(1753, 2401, 1929, 2577, 1878, 2526)(1754, 2402, 1930, 2578, 1891, 2539)(1759, 2407, 1931, 2579, 1932, 2580)(1764, 2412, 1806, 2454, 1905, 2553)(1765, 2413, 1836, 2484, 1805, 2453)(1769, 2417, 1823, 2471, 1935, 2583)(1773, 2421, 1907, 2555, 1857, 2505)(1776, 2424, 1924, 2572, 1937, 2585)(1783, 2431, 1910, 2558, 1933, 2581)(1800, 2448, 1938, 2586, 1939, 2587)(1816, 2464, 1889, 2537, 1916, 2564)(1832, 2480, 1904, 2552, 1893, 2541)(1841, 2489, 1940, 2588, 1941, 2589)(1863, 2511, 1926, 2574, 1942, 2590)(1870, 2518, 1943, 2591, 1934, 2582)(1921, 2569, 1936, 2584, 1944, 2592)
	L = (1, 1298)(2, 1297)(3, 1303)(4, 1304)(5, 1305)(6, 1306)(7, 1299)(8, 1300)(9, 1301)(10, 1302)(11, 1315)(12, 1316)(13, 1317)(14, 1318)(15, 1319)(16, 1320)(17, 1321)(18, 1322)(19, 1307)(20, 1308)(21, 1309)(22, 1310)(23, 1311)(24, 1312)(25, 1313)(26, 1314)(27, 1339)(28, 1340)(29, 1341)(30, 1342)(31, 1343)(32, 1344)(33, 1345)(34, 1346)(35, 1347)(36, 1348)(37, 1349)(38, 1350)(39, 1351)(40, 1352)(41, 1353)(42, 1354)(43, 1323)(44, 1324)(45, 1325)(46, 1326)(47, 1327)(48, 1328)(49, 1329)(50, 1330)(51, 1331)(52, 1332)(53, 1333)(54, 1334)(55, 1335)(56, 1336)(57, 1337)(58, 1338)(59, 1387)(60, 1388)(61, 1389)(62, 1390)(63, 1391)(64, 1392)(65, 1393)(66, 1394)(67, 1395)(68, 1396)(69, 1397)(70, 1398)(71, 1399)(72, 1400)(73, 1401)(74, 1402)(75, 1403)(76, 1404)(77, 1405)(78, 1406)(79, 1407)(80, 1408)(81, 1409)(82, 1410)(83, 1411)(84, 1412)(85, 1413)(86, 1414)(87, 1415)(88, 1416)(89, 1417)(90, 1418)(91, 1355)(92, 1356)(93, 1357)(94, 1358)(95, 1359)(96, 1360)(97, 1361)(98, 1362)(99, 1363)(100, 1364)(101, 1365)(102, 1366)(103, 1367)(104, 1368)(105, 1369)(106, 1370)(107, 1371)(108, 1372)(109, 1373)(110, 1374)(111, 1375)(112, 1376)(113, 1377)(114, 1378)(115, 1379)(116, 1380)(117, 1381)(118, 1382)(119, 1383)(120, 1384)(121, 1385)(122, 1386)(123, 1483)(124, 1484)(125, 1485)(126, 1486)(127, 1487)(128, 1488)(129, 1489)(130, 1490)(131, 1491)(132, 1492)(133, 1493)(134, 1494)(135, 1495)(136, 1496)(137, 1497)(138, 1498)(139, 1499)(140, 1500)(141, 1501)(142, 1502)(143, 1503)(144, 1504)(145, 1505)(146, 1506)(147, 1507)(148, 1508)(149, 1509)(150, 1510)(151, 1511)(152, 1512)(153, 1513)(154, 1514)(155, 1515)(156, 1516)(157, 1517)(158, 1518)(159, 1519)(160, 1520)(161, 1521)(162, 1522)(163, 1523)(164, 1524)(165, 1525)(166, 1526)(167, 1527)(168, 1528)(169, 1529)(170, 1530)(171, 1531)(172, 1532)(173, 1533)(174, 1534)(175, 1535)(176, 1536)(177, 1537)(178, 1538)(179, 1539)(180, 1540)(181, 1541)(182, 1542)(183, 1543)(184, 1544)(185, 1545)(186, 1546)(187, 1419)(188, 1420)(189, 1421)(190, 1422)(191, 1423)(192, 1424)(193, 1425)(194, 1426)(195, 1427)(196, 1428)(197, 1429)(198, 1430)(199, 1431)(200, 1432)(201, 1433)(202, 1434)(203, 1435)(204, 1436)(205, 1437)(206, 1438)(207, 1439)(208, 1440)(209, 1441)(210, 1442)(211, 1443)(212, 1444)(213, 1445)(214, 1446)(215, 1447)(216, 1448)(217, 1449)(218, 1450)(219, 1451)(220, 1452)(221, 1453)(222, 1454)(223, 1455)(224, 1456)(225, 1457)(226, 1458)(227, 1459)(228, 1460)(229, 1461)(230, 1462)(231, 1463)(232, 1464)(233, 1465)(234, 1466)(235, 1467)(236, 1468)(237, 1469)(238, 1470)(239, 1471)(240, 1472)(241, 1473)(242, 1474)(243, 1475)(244, 1476)(245, 1477)(246, 1478)(247, 1479)(248, 1480)(249, 1481)(250, 1482)(251, 1720)(252, 1722)(253, 1663)(254, 1724)(255, 1726)(256, 1654)(257, 1727)(258, 1729)(259, 1622)(260, 1731)(261, 1642)(262, 1618)(263, 1733)(264, 1734)(265, 1624)(266, 1737)(267, 1738)(268, 1740)(269, 1699)(270, 1742)(271, 1635)(272, 1623)(273, 1702)(274, 1743)(275, 1637)(276, 1745)(277, 1701)(278, 1638)(279, 1747)(280, 1691)(281, 1650)(282, 1749)(283, 1750)(284, 1752)(285, 1634)(286, 1754)(287, 1756)(288, 1662)(289, 1711)(290, 1758)(291, 1617)(292, 1715)(293, 1626)(294, 1621)(295, 1710)(296, 1761)(297, 1620)(298, 1764)(299, 1765)(300, 1767)(301, 1768)(302, 1770)(303, 1655)(304, 1619)(305, 1771)(306, 1772)(307, 1640)(308, 1774)(309, 1775)(310, 1641)(311, 1777)(312, 1778)(313, 1658)(314, 1688)(315, 1612)(316, 1611)(317, 1615)(318, 1616)(319, 1613)(320, 1614)(321, 1587)(322, 1558)(323, 1600)(324, 1593)(325, 1590)(326, 1555)(327, 1568)(328, 1561)(329, 1627)(330, 1589)(331, 1625)(332, 1639)(333, 1643)(334, 1644)(335, 1645)(336, 1646)(337, 1647)(338, 1581)(339, 1567)(340, 1648)(341, 1571)(342, 1574)(343, 1628)(344, 1603)(345, 1606)(346, 1557)(347, 1629)(348, 1630)(349, 1631)(350, 1632)(351, 1633)(352, 1636)(353, 1678)(354, 1577)(355, 1679)(356, 1680)(357, 1681)(358, 1552)(359, 1599)(360, 1682)(361, 1683)(362, 1609)(363, 1684)(364, 1685)(365, 1686)(366, 1584)(367, 1549)(368, 1687)(369, 1689)(370, 1692)(371, 1694)(372, 1696)(373, 1698)(374, 1700)(375, 1703)(376, 1705)(377, 1707)(378, 1709)(379, 1713)(380, 1690)(381, 1719)(382, 1649)(383, 1651)(384, 1652)(385, 1653)(386, 1656)(387, 1657)(388, 1659)(389, 1660)(390, 1661)(391, 1664)(392, 1610)(393, 1665)(394, 1676)(395, 1576)(396, 1666)(397, 1884)(398, 1667)(399, 1853)(400, 1668)(401, 1897)(402, 1669)(403, 1565)(404, 1670)(405, 1573)(406, 1569)(407, 1671)(408, 1861)(409, 1672)(410, 1881)(411, 1673)(412, 1790)(413, 1674)(414, 1591)(415, 1585)(416, 1907)(417, 1675)(418, 1759)(419, 1588)(420, 1858)(421, 1760)(422, 1868)(423, 1677)(424, 1547)(425, 1895)(426, 1548)(427, 1848)(428, 1550)(429, 1910)(430, 1551)(431, 1553)(432, 1916)(433, 1554)(434, 1785)(435, 1556)(436, 1849)(437, 1559)(438, 1560)(439, 1901)(440, 1787)(441, 1562)(442, 1563)(443, 1850)(444, 1564)(445, 1900)(446, 1566)(447, 1570)(448, 1810)(449, 1572)(450, 1812)(451, 1575)(452, 1834)(453, 1578)(454, 1579)(455, 1898)(456, 1580)(457, 1806)(458, 1582)(459, 1902)(460, 1583)(461, 1906)(462, 1586)(463, 1714)(464, 1717)(465, 1592)(466, 1781)(467, 1783)(468, 1594)(469, 1595)(470, 1807)(471, 1596)(472, 1597)(473, 1886)(474, 1598)(475, 1601)(476, 1602)(477, 1816)(478, 1604)(479, 1605)(480, 1818)(481, 1607)(482, 1608)(483, 1843)(484, 1871)(485, 1762)(486, 1932)(487, 1763)(488, 1937)(489, 1730)(490, 1918)(491, 1736)(492, 1933)(493, 1792)(494, 1708)(495, 1934)(496, 1789)(497, 1903)(498, 1814)(499, 1899)(500, 1894)(501, 1820)(502, 1919)(503, 1875)(504, 1822)(505, 1823)(506, 1880)(507, 1825)(508, 1873)(509, 1828)(510, 1753)(511, 1766)(512, 1931)(513, 1866)(514, 1744)(515, 1872)(516, 1746)(517, 1863)(518, 1794)(519, 1923)(520, 1773)(521, 1927)(522, 1776)(523, 1921)(524, 1797)(525, 1846)(526, 1800)(527, 1801)(528, 1841)(529, 1803)(530, 1892)(531, 1938)(532, 1805)(533, 1914)(534, 1845)(535, 1882)(536, 1874)(537, 1925)(538, 1748)(539, 1867)(540, 1864)(541, 1885)(542, 1862)(543, 1878)(544, 1860)(545, 1824)(546, 1857)(547, 1779)(548, 1924)(549, 1830)(550, 1821)(551, 1856)(552, 1723)(553, 1732)(554, 1739)(555, 1917)(556, 1887)(557, 1695)(558, 1939)(559, 1891)(560, 1847)(561, 1842)(562, 1716)(563, 1911)(564, 1840)(565, 1704)(566, 1838)(567, 1813)(568, 1836)(569, 1905)(570, 1809)(571, 1835)(572, 1718)(573, 1909)(574, 1889)(575, 1780)(576, 1811)(577, 1804)(578, 1832)(579, 1799)(580, 1915)(581, 1904)(582, 1839)(583, 1930)(584, 1802)(585, 1706)(586, 1831)(587, 1940)(588, 1693)(589, 1837)(590, 1769)(591, 1852)(592, 1944)(593, 1870)(594, 1922)(595, 1855)(596, 1826)(597, 1913)(598, 1796)(599, 1721)(600, 1936)(601, 1697)(602, 1751)(603, 1795)(604, 1741)(605, 1735)(606, 1755)(607, 1793)(608, 1877)(609, 1865)(610, 1757)(611, 1712)(612, 1926)(613, 1869)(614, 1725)(615, 1859)(616, 1943)(617, 1893)(618, 1829)(619, 1876)(620, 1728)(621, 1851)(622, 1786)(623, 1798)(624, 1935)(625, 1819)(626, 1890)(627, 1815)(628, 1844)(629, 1833)(630, 1908)(631, 1817)(632, 1942)(633, 1941)(634, 1879)(635, 1808)(636, 1782)(637, 1788)(638, 1791)(639, 1920)(640, 1896)(641, 1784)(642, 1827)(643, 1854)(644, 1883)(645, 1929)(646, 1928)(647, 1912)(648, 1888)(649, 1945)(650, 1946)(651, 1947)(652, 1948)(653, 1949)(654, 1950)(655, 1951)(656, 1952)(657, 1953)(658, 1954)(659, 1955)(660, 1956)(661, 1957)(662, 1958)(663, 1959)(664, 1960)(665, 1961)(666, 1962)(667, 1963)(668, 1964)(669, 1965)(670, 1966)(671, 1967)(672, 1968)(673, 1969)(674, 1970)(675, 1971)(676, 1972)(677, 1973)(678, 1974)(679, 1975)(680, 1976)(681, 1977)(682, 1978)(683, 1979)(684, 1980)(685, 1981)(686, 1982)(687, 1983)(688, 1984)(689, 1985)(690, 1986)(691, 1987)(692, 1988)(693, 1989)(694, 1990)(695, 1991)(696, 1992)(697, 1993)(698, 1994)(699, 1995)(700, 1996)(701, 1997)(702, 1998)(703, 1999)(704, 2000)(705, 2001)(706, 2002)(707, 2003)(708, 2004)(709, 2005)(710, 2006)(711, 2007)(712, 2008)(713, 2009)(714, 2010)(715, 2011)(716, 2012)(717, 2013)(718, 2014)(719, 2015)(720, 2016)(721, 2017)(722, 2018)(723, 2019)(724, 2020)(725, 2021)(726, 2022)(727, 2023)(728, 2024)(729, 2025)(730, 2026)(731, 2027)(732, 2028)(733, 2029)(734, 2030)(735, 2031)(736, 2032)(737, 2033)(738, 2034)(739, 2035)(740, 2036)(741, 2037)(742, 2038)(743, 2039)(744, 2040)(745, 2041)(746, 2042)(747, 2043)(748, 2044)(749, 2045)(750, 2046)(751, 2047)(752, 2048)(753, 2049)(754, 2050)(755, 2051)(756, 2052)(757, 2053)(758, 2054)(759, 2055)(760, 2056)(761, 2057)(762, 2058)(763, 2059)(764, 2060)(765, 2061)(766, 2062)(767, 2063)(768, 2064)(769, 2065)(770, 2066)(771, 2067)(772, 2068)(773, 2069)(774, 2070)(775, 2071)(776, 2072)(777, 2073)(778, 2074)(779, 2075)(780, 2076)(781, 2077)(782, 2078)(783, 2079)(784, 2080)(785, 2081)(786, 2082)(787, 2083)(788, 2084)(789, 2085)(790, 2086)(791, 2087)(792, 2088)(793, 2089)(794, 2090)(795, 2091)(796, 2092)(797, 2093)(798, 2094)(799, 2095)(800, 2096)(801, 2097)(802, 2098)(803, 2099)(804, 2100)(805, 2101)(806, 2102)(807, 2103)(808, 2104)(809, 2105)(810, 2106)(811, 2107)(812, 2108)(813, 2109)(814, 2110)(815, 2111)(816, 2112)(817, 2113)(818, 2114)(819, 2115)(820, 2116)(821, 2117)(822, 2118)(823, 2119)(824, 2120)(825, 2121)(826, 2122)(827, 2123)(828, 2124)(829, 2125)(830, 2126)(831, 2127)(832, 2128)(833, 2129)(834, 2130)(835, 2131)(836, 2132)(837, 2133)(838, 2134)(839, 2135)(840, 2136)(841, 2137)(842, 2138)(843, 2139)(844, 2140)(845, 2141)(846, 2142)(847, 2143)(848, 2144)(849, 2145)(850, 2146)(851, 2147)(852, 2148)(853, 2149)(854, 2150)(855, 2151)(856, 2152)(857, 2153)(858, 2154)(859, 2155)(860, 2156)(861, 2157)(862, 2158)(863, 2159)(864, 2160)(865, 2161)(866, 2162)(867, 2163)(868, 2164)(869, 2165)(870, 2166)(871, 2167)(872, 2168)(873, 2169)(874, 2170)(875, 2171)(876, 2172)(877, 2173)(878, 2174)(879, 2175)(880, 2176)(881, 2177)(882, 2178)(883, 2179)(884, 2180)(885, 2181)(886, 2182)(887, 2183)(888, 2184)(889, 2185)(890, 2186)(891, 2187)(892, 2188)(893, 2189)(894, 2190)(895, 2191)(896, 2192)(897, 2193)(898, 2194)(899, 2195)(900, 2196)(901, 2197)(902, 2198)(903, 2199)(904, 2200)(905, 2201)(906, 2202)(907, 2203)(908, 2204)(909, 2205)(910, 2206)(911, 2207)(912, 2208)(913, 2209)(914, 2210)(915, 2211)(916, 2212)(917, 2213)(918, 2214)(919, 2215)(920, 2216)(921, 2217)(922, 2218)(923, 2219)(924, 2220)(925, 2221)(926, 2222)(927, 2223)(928, 2224)(929, 2225)(930, 2226)(931, 2227)(932, 2228)(933, 2229)(934, 2230)(935, 2231)(936, 2232)(937, 2233)(938, 2234)(939, 2235)(940, 2236)(941, 2237)(942, 2238)(943, 2239)(944, 2240)(945, 2241)(946, 2242)(947, 2243)(948, 2244)(949, 2245)(950, 2246)(951, 2247)(952, 2248)(953, 2249)(954, 2250)(955, 2251)(956, 2252)(957, 2253)(958, 2254)(959, 2255)(960, 2256)(961, 2257)(962, 2258)(963, 2259)(964, 2260)(965, 2261)(966, 2262)(967, 2263)(968, 2264)(969, 2265)(970, 2266)(971, 2267)(972, 2268)(973, 2269)(974, 2270)(975, 2271)(976, 2272)(977, 2273)(978, 2274)(979, 2275)(980, 2276)(981, 2277)(982, 2278)(983, 2279)(984, 2280)(985, 2281)(986, 2282)(987, 2283)(988, 2284)(989, 2285)(990, 2286)(991, 2287)(992, 2288)(993, 2289)(994, 2290)(995, 2291)(996, 2292)(997, 2293)(998, 2294)(999, 2295)(1000, 2296)(1001, 2297)(1002, 2298)(1003, 2299)(1004, 2300)(1005, 2301)(1006, 2302)(1007, 2303)(1008, 2304)(1009, 2305)(1010, 2306)(1011, 2307)(1012, 2308)(1013, 2309)(1014, 2310)(1015, 2311)(1016, 2312)(1017, 2313)(1018, 2314)(1019, 2315)(1020, 2316)(1021, 2317)(1022, 2318)(1023, 2319)(1024, 2320)(1025, 2321)(1026, 2322)(1027, 2323)(1028, 2324)(1029, 2325)(1030, 2326)(1031, 2327)(1032, 2328)(1033, 2329)(1034, 2330)(1035, 2331)(1036, 2332)(1037, 2333)(1038, 2334)(1039, 2335)(1040, 2336)(1041, 2337)(1042, 2338)(1043, 2339)(1044, 2340)(1045, 2341)(1046, 2342)(1047, 2343)(1048, 2344)(1049, 2345)(1050, 2346)(1051, 2347)(1052, 2348)(1053, 2349)(1054, 2350)(1055, 2351)(1056, 2352)(1057, 2353)(1058, 2354)(1059, 2355)(1060, 2356)(1061, 2357)(1062, 2358)(1063, 2359)(1064, 2360)(1065, 2361)(1066, 2362)(1067, 2363)(1068, 2364)(1069, 2365)(1070, 2366)(1071, 2367)(1072, 2368)(1073, 2369)(1074, 2370)(1075, 2371)(1076, 2372)(1077, 2373)(1078, 2374)(1079, 2375)(1080, 2376)(1081, 2377)(1082, 2378)(1083, 2379)(1084, 2380)(1085, 2381)(1086, 2382)(1087, 2383)(1088, 2384)(1089, 2385)(1090, 2386)(1091, 2387)(1092, 2388)(1093, 2389)(1094, 2390)(1095, 2391)(1096, 2392)(1097, 2393)(1098, 2394)(1099, 2395)(1100, 2396)(1101, 2397)(1102, 2398)(1103, 2399)(1104, 2400)(1105, 2401)(1106, 2402)(1107, 2403)(1108, 2404)(1109, 2405)(1110, 2406)(1111, 2407)(1112, 2408)(1113, 2409)(1114, 2410)(1115, 2411)(1116, 2412)(1117, 2413)(1118, 2414)(1119, 2415)(1120, 2416)(1121, 2417)(1122, 2418)(1123, 2419)(1124, 2420)(1125, 2421)(1126, 2422)(1127, 2423)(1128, 2424)(1129, 2425)(1130, 2426)(1131, 2427)(1132, 2428)(1133, 2429)(1134, 2430)(1135, 2431)(1136, 2432)(1137, 2433)(1138, 2434)(1139, 2435)(1140, 2436)(1141, 2437)(1142, 2438)(1143, 2439)(1144, 2440)(1145, 2441)(1146, 2442)(1147, 2443)(1148, 2444)(1149, 2445)(1150, 2446)(1151, 2447)(1152, 2448)(1153, 2449)(1154, 2450)(1155, 2451)(1156, 2452)(1157, 2453)(1158, 2454)(1159, 2455)(1160, 2456)(1161, 2457)(1162, 2458)(1163, 2459)(1164, 2460)(1165, 2461)(1166, 2462)(1167, 2463)(1168, 2464)(1169, 2465)(1170, 2466)(1171, 2467)(1172, 2468)(1173, 2469)(1174, 2470)(1175, 2471)(1176, 2472)(1177, 2473)(1178, 2474)(1179, 2475)(1180, 2476)(1181, 2477)(1182, 2478)(1183, 2479)(1184, 2480)(1185, 2481)(1186, 2482)(1187, 2483)(1188, 2484)(1189, 2485)(1190, 2486)(1191, 2487)(1192, 2488)(1193, 2489)(1194, 2490)(1195, 2491)(1196, 2492)(1197, 2493)(1198, 2494)(1199, 2495)(1200, 2496)(1201, 2497)(1202, 2498)(1203, 2499)(1204, 2500)(1205, 2501)(1206, 2502)(1207, 2503)(1208, 2504)(1209, 2505)(1210, 2506)(1211, 2507)(1212, 2508)(1213, 2509)(1214, 2510)(1215, 2511)(1216, 2512)(1217, 2513)(1218, 2514)(1219, 2515)(1220, 2516)(1221, 2517)(1222, 2518)(1223, 2519)(1224, 2520)(1225, 2521)(1226, 2522)(1227, 2523)(1228, 2524)(1229, 2525)(1230, 2526)(1231, 2527)(1232, 2528)(1233, 2529)(1234, 2530)(1235, 2531)(1236, 2532)(1237, 2533)(1238, 2534)(1239, 2535)(1240, 2536)(1241, 2537)(1242, 2538)(1243, 2539)(1244, 2540)(1245, 2541)(1246, 2542)(1247, 2543)(1248, 2544)(1249, 2545)(1250, 2546)(1251, 2547)(1252, 2548)(1253, 2549)(1254, 2550)(1255, 2551)(1256, 2552)(1257, 2553)(1258, 2554)(1259, 2555)(1260, 2556)(1261, 2557)(1262, 2558)(1263, 2559)(1264, 2560)(1265, 2561)(1266, 2562)(1267, 2563)(1268, 2564)(1269, 2565)(1270, 2566)(1271, 2567)(1272, 2568)(1273, 2569)(1274, 2570)(1275, 2571)(1276, 2572)(1277, 2573)(1278, 2574)(1279, 2575)(1280, 2576)(1281, 2577)(1282, 2578)(1283, 2579)(1284, 2580)(1285, 2581)(1286, 2582)(1287, 2583)(1288, 2584)(1289, 2585)(1290, 2586)(1291, 2587)(1292, 2588)(1293, 2589)(1294, 2590)(1295, 2591)(1296, 2592)
	local type(s) :: { ( 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.3342
Graph:: bipartite
	v = 540 e = 1296 f = 702
	degree seq :: [ 4^324, 6^216 ]

E28.3340 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 12})
Quotient :: dipole
Aut^+ = $<648, 262>$ (small group id <648, 262>)
Aut   = $<1296, 1786>$ (small group id <1296, 1786>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^3, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (Y2 * Y1)^2, (R * Y3)^2, (Y2 * Y1^-2)^2, Y2^12, (Y1 * Y2^-4)^3, Y2 * Y1^-1 * Y2^2 * Y1 * Y2^-2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^2 * Y1^-1 * Y2^2 * Y1, Y2 * Y1^-1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^2 * Y1^-1 * Y2^2 * Y1^-1 * Y2^3 * Y1^-1, Y2 * Y1^-1 * Y2^-5 * Y1 * Y2^2 * Y1^-1 * Y2^6 * Y1^-1, Y2^4 * Y1^-1 * Y2^-2 * Y1 * Y2^5 * Y1^-1 * Y2^-3 * Y1^-1, Y2^2 * Y1^-1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-3 * Y1 * Y2^-2 * Y1^-1 * Y2 * Y1^-1 ]
Map::
	R = (1, 649, 2, 650, 4, 652)(3, 651, 8, 656, 10, 658)(5, 653, 12, 660, 6, 654)(7, 655, 15, 663, 11, 659)(9, 657, 18, 666, 20, 668)(13, 661, 25, 673, 23, 671)(14, 662, 24, 672, 28, 676)(16, 664, 31, 679, 29, 677)(17, 665, 33, 681, 21, 669)(19, 667, 36, 684, 38, 686)(22, 670, 30, 678, 42, 690)(26, 674, 47, 695, 45, 693)(27, 675, 49, 697, 51, 699)(32, 680, 57, 705, 55, 703)(34, 682, 61, 709, 59, 707)(35, 683, 63, 711, 39, 687)(37, 685, 66, 714, 68, 716)(40, 688, 60, 708, 72, 720)(41, 689, 73, 721, 75, 723)(43, 691, 46, 694, 78, 726)(44, 692, 79, 727, 52, 700)(48, 696, 85, 733, 83, 731)(50, 698, 88, 736, 90, 738)(53, 701, 56, 704, 94, 742)(54, 702, 95, 743, 76, 724)(58, 706, 101, 749, 99, 747)(62, 710, 107, 755, 105, 753)(64, 712, 111, 759, 109, 757)(65, 713, 113, 761, 69, 717)(67, 715, 116, 764, 118, 766)(70, 718, 110, 758, 122, 770)(71, 719, 123, 771, 125, 773)(74, 722, 128, 776, 130, 778)(77, 725, 133, 781, 135, 783)(80, 728, 139, 787, 137, 785)(81, 729, 84, 732, 142, 790)(82, 730, 143, 791, 136, 784)(86, 734, 149, 797, 147, 795)(87, 735, 150, 798, 91, 739)(89, 737, 153, 801, 155, 803)(92, 740, 138, 786, 159, 807)(93, 741, 160, 808, 162, 810)(96, 744, 166, 814, 164, 812)(97, 745, 100, 748, 169, 817)(98, 746, 170, 818, 163, 811)(102, 750, 176, 824, 174, 822)(103, 751, 106, 754, 178, 826)(104, 752, 179, 827, 126, 774)(108, 756, 185, 833, 183, 831)(112, 760, 191, 839, 189, 837)(114, 762, 195, 843, 193, 841)(115, 763, 197, 845, 119, 767)(117, 765, 200, 848, 201, 849)(120, 768, 194, 842, 205, 853)(121, 769, 206, 854, 208, 856)(124, 772, 211, 859, 213, 861)(127, 775, 216, 864, 131, 779)(129, 777, 219, 867, 220, 868)(132, 780, 165, 813, 224, 872)(134, 782, 226, 874, 228, 876)(140, 788, 235, 883, 233, 881)(141, 789, 237, 885, 239, 887)(144, 792, 243, 891, 241, 889)(145, 793, 148, 796, 246, 894)(146, 794, 247, 895, 240, 888)(151, 799, 254, 902, 252, 900)(152, 800, 256, 904, 156, 804)(154, 802, 259, 907, 260, 908)(157, 805, 253, 901, 264, 912)(158, 806, 265, 913, 267, 915)(161, 809, 270, 918, 272, 920)(167, 815, 279, 927, 277, 925)(168, 816, 281, 929, 283, 931)(171, 819, 287, 935, 285, 933)(172, 820, 175, 823, 290, 938)(173, 821, 291, 939, 284, 932)(177, 825, 295, 943, 297, 945)(180, 828, 301, 949, 299, 947)(181, 829, 184, 832, 304, 952)(182, 830, 305, 953, 298, 946)(186, 834, 310, 958, 308, 956)(187, 835, 190, 838, 312, 960)(188, 836, 313, 961, 209, 857)(192, 840, 319, 967, 317, 965)(196, 844, 325, 973, 323, 971)(198, 846, 329, 977, 327, 975)(199, 847, 331, 979, 202, 850)(203, 851, 328, 976, 336, 984)(204, 852, 337, 985, 338, 986)(207, 855, 341, 989, 244, 892)(210, 858, 345, 993, 214, 862)(212, 860, 348, 996, 349, 997)(215, 863, 300, 948, 352, 1000)(217, 865, 355, 1003, 353, 1001)(218, 866, 357, 1005, 221, 869)(222, 870, 354, 1002, 361, 1009)(223, 871, 362, 1010, 364, 1012)(225, 873, 366, 1014, 229, 877)(227, 875, 369, 1017, 371, 1019)(230, 878, 242, 890, 374, 1022)(231, 879, 234, 882, 376, 1024)(232, 880, 377, 1025, 268, 916)(236, 884, 381, 1029, 380, 1028)(238, 886, 383, 1031, 385, 1033)(245, 893, 392, 1040, 394, 1042)(248, 896, 347, 995, 396, 1044)(249, 897, 251, 899, 399, 1047)(250, 898, 400, 1048, 395, 1043)(255, 903, 406, 1054, 404, 1052)(257, 905, 410, 1058, 408, 1056)(258, 906, 412, 1060, 261, 909)(262, 910, 409, 1057, 416, 1064)(263, 911, 417, 1065, 418, 1066)(266, 914, 421, 1069, 288, 936)(269, 917, 425, 1073, 273, 921)(271, 919, 428, 1076, 430, 1078)(274, 922, 286, 934, 433, 1081)(275, 923, 278, 926, 435, 1083)(276, 924, 436, 1084, 365, 1013)(280, 928, 440, 1088, 439, 1087)(282, 930, 442, 1090, 444, 1092)(289, 937, 451, 1099, 453, 1101)(292, 940, 368, 1016, 454, 1102)(293, 941, 294, 942, 457, 1105)(296, 944, 460, 1108, 462, 1110)(302, 950, 363, 1011, 467, 1115)(303, 951, 470, 1118, 472, 1120)(306, 954, 427, 1075, 473, 1121)(307, 955, 309, 957, 476, 1124)(311, 959, 479, 1127, 481, 1129)(314, 962, 446, 1094, 455, 1103)(315, 963, 318, 966, 484, 1132)(316, 964, 447, 1095, 449, 1097)(320, 968, 415, 1063, 414, 1062)(321, 969, 324, 972, 489, 1137)(322, 970, 432, 1080, 339, 987)(326, 974, 495, 1143, 493, 1141)(330, 978, 501, 1149, 499, 1147)(332, 980, 503, 1151, 407, 1055)(333, 981, 429, 1077, 334, 982)(335, 983, 422, 1070, 450, 1098)(340, 988, 431, 1079, 343, 991)(342, 990, 391, 1039, 458, 1106)(344, 992, 424, 1072, 509, 1157)(346, 994, 511, 1159, 510, 1158)(350, 998, 423, 1071, 420, 1068)(351, 999, 419, 1067, 403, 1051)(356, 1004, 521, 1169, 519, 1167)(358, 1006, 524, 1172, 523, 1171)(359, 1007, 496, 1144, 360, 1008)(367, 1015, 531, 1179, 530, 1178)(370, 1018, 477, 1125, 478, 1126)(372, 1020, 529, 1177, 527, 1175)(373, 1021, 526, 1174, 518, 1166)(375, 1023, 536, 1184, 538, 1186)(378, 1026, 464, 1112, 474, 1122)(379, 1027, 465, 1113, 468, 1116)(382, 1030, 541, 1189, 386, 1034)(384, 1032, 543, 1191, 456, 1104)(387, 1035, 397, 1045, 437, 1085)(388, 1036, 390, 1038, 438, 1086)(389, 1037, 448, 1096, 466, 1114)(393, 1041, 546, 1194, 548, 1196)(398, 1046, 461, 1109, 552, 1200)(401, 1049, 528, 1176, 469, 1117)(402, 1050, 405, 1053, 554, 1202)(411, 1059, 562, 1210, 560, 1208)(413, 1061, 564, 1212, 522, 1170)(426, 1074, 571, 1219, 570, 1218)(434, 1082, 575, 1223, 577, 1225)(441, 1089, 580, 1228, 445, 1093)(443, 1091, 582, 1230, 475, 1123)(452, 1100, 585, 1233, 587, 1235)(459, 1107, 590, 1238, 463, 1111)(471, 1119, 596, 1244, 598, 1246)(480, 1128, 601, 1249, 549, 1197)(482, 1130, 516, 1164, 555, 1203)(483, 1131, 602, 1250, 583, 1231)(485, 1133, 592, 1240, 584, 1232)(486, 1134, 487, 1135, 573, 1221)(488, 1136, 604, 1252, 605, 1253)(490, 1138, 566, 1214, 559, 1207)(491, 1139, 494, 1142, 569, 1217)(492, 1140, 600, 1248, 572, 1220)(497, 1145, 500, 1148, 609, 1257)(498, 1146, 594, 1242, 505, 1153)(502, 1150, 547, 1195, 611, 1259)(504, 1152, 613, 1261, 612, 1260)(506, 1154, 593, 1241, 507, 1155)(508, 1156, 615, 1263, 574, 1222)(512, 1160, 618, 1266, 617, 1265)(513, 1161, 557, 1205, 550, 1198)(514, 1162, 540, 1188, 515, 1163)(517, 1165, 520, 1168, 619, 1267)(525, 1173, 622, 1270, 621, 1269)(532, 1180, 620, 1268, 589, 1237)(533, 1181, 579, 1227, 534, 1182)(535, 1183, 623, 1271, 556, 1204)(537, 1185, 624, 1272, 588, 1236)(539, 1187, 542, 1190, 595, 1243)(544, 1192, 568, 1216, 567, 1215)(545, 1193, 578, 1226, 581, 1229)(551, 1199, 626, 1274, 608, 1256)(553, 1201, 627, 1275, 628, 1276)(558, 1206, 561, 1209, 631, 1279)(563, 1211, 586, 1234, 633, 1281)(565, 1213, 635, 1283, 634, 1282)(576, 1224, 638, 1286, 599, 1247)(591, 1239, 641, 1289, 640, 1288)(597, 1245, 645, 1293, 603, 1251)(606, 1254, 637, 1285, 646, 1294)(607, 1255, 629, 1277, 647, 1295)(610, 1258, 636, 1284, 642, 1290)(614, 1262, 639, 1287, 643, 1291)(616, 1264, 630, 1278, 648, 1296)(625, 1273, 632, 1280, 644, 1292)(1297, 1945, 1299, 1947, 1305, 1953, 1315, 1963, 1333, 1981, 1363, 2011, 1413, 2061, 1382, 2030, 1344, 1992, 1322, 1970, 1309, 1957, 1301, 1949)(1298, 1946, 1302, 1950, 1310, 1958, 1323, 1971, 1346, 1994, 1385, 2033, 1450, 2098, 1398, 2046, 1354, 2002, 1328, 1976, 1312, 1960, 1303, 1951)(1300, 1948, 1307, 1955, 1318, 1966, 1337, 1985, 1370, 2018, 1425, 2073, 1482, 2130, 1404, 2052, 1358, 2006, 1330, 1978, 1313, 1961, 1304, 1952)(1306, 1954, 1317, 1965, 1336, 1984, 1367, 2015, 1420, 2068, 1508, 2156, 1616, 2264, 1488, 2136, 1408, 2056, 1360, 2008, 1331, 1979, 1314, 1962)(1308, 1956, 1319, 1967, 1339, 1987, 1373, 2021, 1430, 2078, 1523, 2171, 1666, 2314, 1532, 2180, 1436, 2084, 1376, 2024, 1340, 1988, 1320, 1968)(1311, 1959, 1325, 1973, 1349, 1997, 1389, 2037, 1457, 2105, 1567, 2215, 1725, 2373, 1576, 2224, 1463, 2111, 1392, 2040, 1350, 1998, 1326, 1974)(1316, 1964, 1335, 1983, 1366, 2014, 1417, 2065, 1503, 2151, 1638, 2286, 1792, 2440, 1622, 2270, 1492, 2140, 1410, 2058, 1361, 2009, 1332, 1980)(1321, 1969, 1341, 1989, 1377, 2025, 1437, 2085, 1534, 2182, 1680, 2328, 1753, 2401, 1687, 2335, 1540, 2188, 1440, 2088, 1378, 2026, 1342, 1990)(1324, 1972, 1348, 1996, 1388, 2036, 1454, 2102, 1562, 2210, 1718, 2366, 1627, 2275, 1703, 2351, 1551, 2199, 1447, 2095, 1383, 2031, 1345, 1993)(1327, 1975, 1351, 1999, 1393, 2041, 1464, 2112, 1578, 2226, 1739, 2387, 1772, 2420, 1746, 2394, 1584, 2232, 1467, 2115, 1394, 2042, 1352, 2000)(1329, 1977, 1355, 2003, 1399, 2047, 1473, 2121, 1592, 2240, 1757, 2405, 1695, 2343, 1765, 2413, 1598, 2246, 1476, 2124, 1400, 2048, 1356, 2004)(1334, 1982, 1365, 2013, 1416, 2064, 1500, 2148, 1531, 2179, 1676, 2324, 1836, 2484, 1798, 2446, 1626, 2274, 1494, 2142, 1411, 2059, 1362, 2010)(1338, 1986, 1372, 2020, 1428, 2076, 1519, 2167, 1659, 2307, 1824, 2472, 1708, 2356, 1818, 2466, 1652, 2300, 1513, 2161, 1423, 2071, 1369, 2017)(1343, 1991, 1379, 2027, 1441, 2089, 1541, 2189, 1689, 2337, 1843, 2491, 1810, 2458, 1644, 2292, 1509, 2157, 1544, 2192, 1442, 2090, 1380, 2028)(1347, 1995, 1387, 2035, 1453, 2101, 1559, 2207, 1575, 2223, 1735, 2383, 1875, 2523, 1859, 2507, 1707, 2355, 1553, 2201, 1448, 2096, 1384, 2032)(1353, 2001, 1395, 2043, 1468, 2116, 1585, 2233, 1748, 2396, 1882, 2530, 1829, 2477, 1665, 2313, 1524, 2172, 1588, 2236, 1469, 2117, 1396, 2044)(1357, 2005, 1401, 2049, 1477, 2125, 1599, 2247, 1767, 2415, 1893, 2541, 1869, 2517, 1724, 2372, 1568, 2216, 1602, 2250, 1478, 2126, 1402, 2050)(1359, 2007, 1405, 2053, 1483, 2131, 1607, 2255, 1776, 2424, 1688, 2336, 1542, 2190, 1691, 2339, 1778, 2426, 1610, 2258, 1484, 2132, 1406, 2054)(1364, 2012, 1415, 2063, 1499, 2147, 1471, 2119, 1397, 2045, 1470, 2118, 1589, 2237, 1752, 2400, 1800, 2448, 1628, 2276, 1495, 2143, 1412, 2060)(1368, 2016, 1422, 2070, 1511, 2159, 1647, 2295, 1812, 2460, 1696, 2344, 1653, 2301, 1819, 2467, 1808, 2456, 1642, 2290, 1506, 2154, 1419, 2067)(1371, 2019, 1427, 2075, 1518, 2166, 1614, 2262, 1487, 2135, 1613, 2261, 1782, 2430, 1899, 2547, 1821, 2469, 1654, 2302, 1514, 2162, 1424, 2072)(1374, 2022, 1432, 2080, 1526, 2174, 1669, 2317, 1794, 2442, 1624, 2272, 1493, 2141, 1623, 2271, 1793, 2441, 1663, 2311, 1521, 2169, 1429, 2077)(1375, 2023, 1433, 2081, 1527, 2175, 1671, 2319, 1833, 2481, 1747, 2395, 1586, 2234, 1632, 2280, 1801, 2449, 1674, 2322, 1528, 2176, 1434, 2082)(1381, 2029, 1443, 2091, 1545, 2193, 1694, 2342, 1847, 2495, 1791, 2439, 1655, 2303, 1515, 2163, 1426, 2074, 1517, 2165, 1546, 2194, 1444, 2092)(1386, 2034, 1452, 2100, 1558, 2206, 1480, 2128, 1403, 2051, 1479, 2127, 1603, 2251, 1771, 2419, 1861, 2509, 1709, 2357, 1554, 2202, 1449, 2097)(1390, 2038, 1459, 2107, 1570, 2218, 1728, 2376, 1855, 2503, 1705, 2353, 1552, 2200, 1704, 2352, 1854, 2502, 1722, 2370, 1565, 2213, 1456, 2104)(1391, 2039, 1460, 2108, 1571, 2219, 1730, 2378, 1872, 2520, 1766, 2414, 1600, 2248, 1712, 2360, 1862, 2510, 1733, 2381, 1572, 2220, 1461, 2109)(1407, 2055, 1485, 2133, 1611, 2259, 1779, 2427, 1876, 2524, 1924, 2572, 1922, 2570, 1848, 2496, 1758, 2406, 1781, 2429, 1612, 2260, 1486, 2134)(1409, 2057, 1489, 2137, 1617, 2265, 1784, 2432, 1678, 2326, 1533, 2181, 1438, 2086, 1536, 2184, 1683, 2331, 1786, 2434, 1618, 2266, 1490, 2138)(1414, 2062, 1498, 2146, 1631, 2279, 1605, 2253, 1481, 2129, 1604, 2252, 1773, 2421, 1667, 2315, 1830, 2478, 1736, 2384, 1629, 2277, 1496, 2144)(1418, 2066, 1505, 2153, 1640, 2288, 1732, 2380, 1693, 2341, 1543, 2191, 1692, 2340, 1846, 2494, 1912, 2560, 1804, 2452, 1636, 2284, 1502, 2150)(1421, 2069, 1510, 2158, 1646, 2294, 1790, 2438, 1621, 2269, 1789, 2437, 1904, 2552, 1923, 2571, 1850, 2498, 1809, 2457, 1643, 2291, 1507, 2155)(1431, 2079, 1525, 2173, 1668, 2316, 1831, 2479, 1702, 2350, 1799, 2447, 1908, 2556, 1937, 2585, 1915, 2563, 1828, 2476, 1664, 2312, 1522, 2170)(1435, 2083, 1529, 2177, 1634, 2282, 1803, 2451, 1886, 2534, 1936, 2584, 1909, 2557, 1839, 2487, 1681, 2329, 1835, 2483, 1675, 2323, 1530, 2178)(1439, 2087, 1537, 2185, 1684, 2332, 1841, 2489, 1910, 2558, 1802, 2450, 1633, 2281, 1501, 2149, 1635, 2283, 1729, 2377, 1685, 2333, 1538, 2186)(1445, 2093, 1497, 2145, 1630, 2278, 1726, 2374, 1783, 2431, 1615, 2263, 1710, 2358, 1555, 2203, 1451, 2099, 1557, 2205, 1697, 2345, 1547, 2195)(1446, 2094, 1548, 2196, 1698, 2346, 1849, 2497, 1737, 2385, 1577, 2225, 1465, 2113, 1580, 2228, 1742, 2390, 1851, 2499, 1699, 2347, 1549, 2197)(1455, 2103, 1564, 2212, 1720, 2368, 1609, 2257, 1751, 2399, 1587, 2235, 1750, 2398, 1885, 2533, 1933, 2581, 1865, 2513, 1716, 2364, 1561, 2209)(1458, 2106, 1569, 2217, 1727, 2375, 1870, 2518, 1817, 2465, 1860, 2508, 1930, 2578, 1900, 2548, 1785, 2433, 1868, 2516, 1723, 2371, 1566, 2214)(1462, 2110, 1573, 2221, 1714, 2362, 1864, 2512, 1837, 2485, 1901, 2549, 1931, 2579, 1878, 2526, 1740, 2388, 1874, 2522, 1734, 2382, 1574, 2222)(1466, 2114, 1581, 2229, 1743, 2391, 1880, 2528, 1932, 2580, 1863, 2511, 1713, 2361, 1560, 2208, 1715, 2363, 1648, 2296, 1744, 2392, 1582, 2230)(1472, 2120, 1556, 2204, 1711, 2359, 1645, 2293, 1811, 2459, 1677, 2325, 1774, 2422, 1606, 2254, 1516, 2164, 1656, 2304, 1754, 2402, 1590, 2238)(1474, 2122, 1594, 2242, 1760, 2408, 1890, 2538, 1814, 2462, 1650, 2298, 1512, 2160, 1649, 2297, 1813, 2461, 1887, 2535, 1755, 2403, 1591, 2239)(1475, 2123, 1595, 2243, 1761, 2409, 1891, 2539, 1940, 2588, 1898, 2546, 1780, 2428, 1657, 2305, 1822, 2470, 1670, 2318, 1762, 2410, 1596, 2244)(1491, 2139, 1619, 2267, 1787, 2435, 1902, 2550, 1934, 2582, 1873, 2521, 1842, 2490, 1690, 2338, 1845, 2493, 1903, 2551, 1788, 2436, 1620, 2268)(1504, 2152, 1639, 2287, 1721, 2369, 1866, 2514, 1797, 2445, 1907, 2555, 1844, 2492, 1871, 2519, 1731, 2379, 1686, 2334, 1539, 2187, 1637, 2285)(1520, 2168, 1661, 2309, 1805, 2453, 1673, 2321, 1770, 2418, 1601, 2249, 1769, 2417, 1896, 2544, 1943, 2591, 1919, 2567, 1823, 2471, 1658, 2306)(1535, 2183, 1682, 2330, 1840, 2488, 1906, 2554, 1796, 2444, 1625, 2273, 1795, 2443, 1867, 2515, 1927, 2575, 1921, 2569, 1838, 2486, 1679, 2327)(1550, 2198, 1700, 2348, 1852, 2500, 1925, 2573, 1897, 2545, 1777, 2425, 1881, 2529, 1749, 2397, 1884, 2532, 1926, 2574, 1853, 2501, 1701, 2349)(1563, 2211, 1719, 2367, 1641, 2289, 1806, 2454, 1858, 2506, 1929, 2577, 1883, 2531, 1775, 2423, 1608, 2256, 1745, 2393, 1583, 2231, 1717, 2365)(1579, 2227, 1741, 2389, 1879, 2527, 1928, 2576, 1857, 2505, 1706, 2354, 1856, 2504, 1807, 2455, 1913, 2561, 1935, 2583, 1877, 2525, 1738, 2386)(1593, 2241, 1759, 2407, 1889, 2537, 1939, 2587, 1914, 2562, 1820, 2468, 1917, 2565, 1827, 2475, 1905, 2553, 1938, 2586, 1888, 2536, 1756, 2404)(1597, 2245, 1763, 2411, 1660, 2308, 1825, 2473, 1662, 2310, 1826, 2474, 1918, 2566, 1941, 2589, 1894, 2542, 1832, 2480, 1672, 2320, 1764, 2412)(1651, 2299, 1815, 2463, 1911, 2559, 1944, 2592, 1920, 2568, 1834, 2482, 1892, 2540, 1768, 2416, 1895, 2543, 1942, 2590, 1916, 2564, 1816, 2464)
	L = (1, 1299)(2, 1302)(3, 1305)(4, 1307)(5, 1297)(6, 1310)(7, 1298)(8, 1300)(9, 1315)(10, 1317)(11, 1318)(12, 1319)(13, 1301)(14, 1323)(15, 1325)(16, 1303)(17, 1304)(18, 1306)(19, 1333)(20, 1335)(21, 1336)(22, 1337)(23, 1339)(24, 1308)(25, 1341)(26, 1309)(27, 1346)(28, 1348)(29, 1349)(30, 1311)(31, 1351)(32, 1312)(33, 1355)(34, 1313)(35, 1314)(36, 1316)(37, 1363)(38, 1365)(39, 1366)(40, 1367)(41, 1370)(42, 1372)(43, 1373)(44, 1320)(45, 1377)(46, 1321)(47, 1379)(48, 1322)(49, 1324)(50, 1385)(51, 1387)(52, 1388)(53, 1389)(54, 1326)(55, 1393)(56, 1327)(57, 1395)(58, 1328)(59, 1399)(60, 1329)(61, 1401)(62, 1330)(63, 1405)(64, 1331)(65, 1332)(66, 1334)(67, 1413)(68, 1415)(69, 1416)(70, 1417)(71, 1420)(72, 1422)(73, 1338)(74, 1425)(75, 1427)(76, 1428)(77, 1430)(78, 1432)(79, 1433)(80, 1340)(81, 1437)(82, 1342)(83, 1441)(84, 1343)(85, 1443)(86, 1344)(87, 1345)(88, 1347)(89, 1450)(90, 1452)(91, 1453)(92, 1454)(93, 1457)(94, 1459)(95, 1460)(96, 1350)(97, 1464)(98, 1352)(99, 1468)(100, 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2215)(920, 2216)(921, 2217)(922, 2218)(923, 2219)(924, 2220)(925, 2221)(926, 2222)(927, 2223)(928, 2224)(929, 2225)(930, 2226)(931, 2227)(932, 2228)(933, 2229)(934, 2230)(935, 2231)(936, 2232)(937, 2233)(938, 2234)(939, 2235)(940, 2236)(941, 2237)(942, 2238)(943, 2239)(944, 2240)(945, 2241)(946, 2242)(947, 2243)(948, 2244)(949, 2245)(950, 2246)(951, 2247)(952, 2248)(953, 2249)(954, 2250)(955, 2251)(956, 2252)(957, 2253)(958, 2254)(959, 2255)(960, 2256)(961, 2257)(962, 2258)(963, 2259)(964, 2260)(965, 2261)(966, 2262)(967, 2263)(968, 2264)(969, 2265)(970, 2266)(971, 2267)(972, 2268)(973, 2269)(974, 2270)(975, 2271)(976, 2272)(977, 2273)(978, 2274)(979, 2275)(980, 2276)(981, 2277)(982, 2278)(983, 2279)(984, 2280)(985, 2281)(986, 2282)(987, 2283)(988, 2284)(989, 2285)(990, 2286)(991, 2287)(992, 2288)(993, 2289)(994, 2290)(995, 2291)(996, 2292)(997, 2293)(998, 2294)(999, 2295)(1000, 2296)(1001, 2297)(1002, 2298)(1003, 2299)(1004, 2300)(1005, 2301)(1006, 2302)(1007, 2303)(1008, 2304)(1009, 2305)(1010, 2306)(1011, 2307)(1012, 2308)(1013, 2309)(1014, 2310)(1015, 2311)(1016, 2312)(1017, 2313)(1018, 2314)(1019, 2315)(1020, 2316)(1021, 2317)(1022, 2318)(1023, 2319)(1024, 2320)(1025, 2321)(1026, 2322)(1027, 2323)(1028, 2324)(1029, 2325)(1030, 2326)(1031, 2327)(1032, 2328)(1033, 2329)(1034, 2330)(1035, 2331)(1036, 2332)(1037, 2333)(1038, 2334)(1039, 2335)(1040, 2336)(1041, 2337)(1042, 2338)(1043, 2339)(1044, 2340)(1045, 2341)(1046, 2342)(1047, 2343)(1048, 2344)(1049, 2345)(1050, 2346)(1051, 2347)(1052, 2348)(1053, 2349)(1054, 2350)(1055, 2351)(1056, 2352)(1057, 2353)(1058, 2354)(1059, 2355)(1060, 2356)(1061, 2357)(1062, 2358)(1063, 2359)(1064, 2360)(1065, 2361)(1066, 2362)(1067, 2363)(1068, 2364)(1069, 2365)(1070, 2366)(1071, 2367)(1072, 2368)(1073, 2369)(1074, 2370)(1075, 2371)(1076, 2372)(1077, 2373)(1078, 2374)(1079, 2375)(1080, 2376)(1081, 2377)(1082, 2378)(1083, 2379)(1084, 2380)(1085, 2381)(1086, 2382)(1087, 2383)(1088, 2384)(1089, 2385)(1090, 2386)(1091, 2387)(1092, 2388)(1093, 2389)(1094, 2390)(1095, 2391)(1096, 2392)(1097, 2393)(1098, 2394)(1099, 2395)(1100, 2396)(1101, 2397)(1102, 2398)(1103, 2399)(1104, 2400)(1105, 2401)(1106, 2402)(1107, 2403)(1108, 2404)(1109, 2405)(1110, 2406)(1111, 2407)(1112, 2408)(1113, 2409)(1114, 2410)(1115, 2411)(1116, 2412)(1117, 2413)(1118, 2414)(1119, 2415)(1120, 2416)(1121, 2417)(1122, 2418)(1123, 2419)(1124, 2420)(1125, 2421)(1126, 2422)(1127, 2423)(1128, 2424)(1129, 2425)(1130, 2426)(1131, 2427)(1132, 2428)(1133, 2429)(1134, 2430)(1135, 2431)(1136, 2432)(1137, 2433)(1138, 2434)(1139, 2435)(1140, 2436)(1141, 2437)(1142, 2438)(1143, 2439)(1144, 2440)(1145, 2441)(1146, 2442)(1147, 2443)(1148, 2444)(1149, 2445)(1150, 2446)(1151, 2447)(1152, 2448)(1153, 2449)(1154, 2450)(1155, 2451)(1156, 2452)(1157, 2453)(1158, 2454)(1159, 2455)(1160, 2456)(1161, 2457)(1162, 2458)(1163, 2459)(1164, 2460)(1165, 2461)(1166, 2462)(1167, 2463)(1168, 2464)(1169, 2465)(1170, 2466)(1171, 2467)(1172, 2468)(1173, 2469)(1174, 2470)(1175, 2471)(1176, 2472)(1177, 2473)(1178, 2474)(1179, 2475)(1180, 2476)(1181, 2477)(1182, 2478)(1183, 2479)(1184, 2480)(1185, 2481)(1186, 2482)(1187, 2483)(1188, 2484)(1189, 2485)(1190, 2486)(1191, 2487)(1192, 2488)(1193, 2489)(1194, 2490)(1195, 2491)(1196, 2492)(1197, 2493)(1198, 2494)(1199, 2495)(1200, 2496)(1201, 2497)(1202, 2498)(1203, 2499)(1204, 2500)(1205, 2501)(1206, 2502)(1207, 2503)(1208, 2504)(1209, 2505)(1210, 2506)(1211, 2507)(1212, 2508)(1213, 2509)(1214, 2510)(1215, 2511)(1216, 2512)(1217, 2513)(1218, 2514)(1219, 2515)(1220, 2516)(1221, 2517)(1222, 2518)(1223, 2519)(1224, 2520)(1225, 2521)(1226, 2522)(1227, 2523)(1228, 2524)(1229, 2525)(1230, 2526)(1231, 2527)(1232, 2528)(1233, 2529)(1234, 2530)(1235, 2531)(1236, 2532)(1237, 2533)(1238, 2534)(1239, 2535)(1240, 2536)(1241, 2537)(1242, 2538)(1243, 2539)(1244, 2540)(1245, 2541)(1246, 2542)(1247, 2543)(1248, 2544)(1249, 2545)(1250, 2546)(1251, 2547)(1252, 2548)(1253, 2549)(1254, 2550)(1255, 2551)(1256, 2552)(1257, 2553)(1258, 2554)(1259, 2555)(1260, 2556)(1261, 2557)(1262, 2558)(1263, 2559)(1264, 2560)(1265, 2561)(1266, 2562)(1267, 2563)(1268, 2564)(1269, 2565)(1270, 2566)(1271, 2567)(1272, 2568)(1273, 2569)(1274, 2570)(1275, 2571)(1276, 2572)(1277, 2573)(1278, 2574)(1279, 2575)(1280, 2576)(1281, 2577)(1282, 2578)(1283, 2579)(1284, 2580)(1285, 2581)(1286, 2582)(1287, 2583)(1288, 2584)(1289, 2585)(1290, 2586)(1291, 2587)(1292, 2588)(1293, 2589)(1294, 2590)(1295, 2591)(1296, 2592)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.3341
Graph:: bipartite
	v = 270 e = 1296 f = 972
	degree seq :: [ 6^216, 24^54 ]

E28.3341 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 12})
Quotient :: dipole
Aut^+ = $<648, 262>$ (small group id <648, 262>)
Aut   = $<1296, 1786>$ (small group id <1296, 1786>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y2)^3, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^3, Y3^-1 * Y2 * Y3^4 * Y2 * Y3^4 * Y2 * Y3^-1 * Y2 * Y3^3 * Y2, (Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-4)^2, Y3^-3 * Y2 * Y3^2 * Y2 * Y3^-2 * Y2 * Y3^-4 * Y2 * Y3^3 * Y2 * Y3^-2 * Y2, (Y3^-3 * Y2 * Y3^-3 * Y2 * Y3^-3)^2, Y3^-2 * Y2 * Y3 * Y2 * Y3^-3 * Y2 * Y3^-2 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-2 * Y2, Y3^2 * Y2 * Y3^2 * Y2 * Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-2 * Y2, (Y3^-1 * Y1^-1)^12 ]
Map:: polytopal
	R = (1, 649)(2, 650)(3, 651)(4, 652)(5, 653)(6, 654)(7, 655)(8, 656)(9, 657)(10, 658)(11, 659)(12, 660)(13, 661)(14, 662)(15, 663)(16, 664)(17, 665)(18, 666)(19, 667)(20, 668)(21, 669)(22, 670)(23, 671)(24, 672)(25, 673)(26, 674)(27, 675)(28, 676)(29, 677)(30, 678)(31, 679)(32, 680)(33, 681)(34, 682)(35, 683)(36, 684)(37, 685)(38, 686)(39, 687)(40, 688)(41, 689)(42, 690)(43, 691)(44, 692)(45, 693)(46, 694)(47, 695)(48, 696)(49, 697)(50, 698)(51, 699)(52, 700)(53, 701)(54, 702)(55, 703)(56, 704)(57, 705)(58, 706)(59, 707)(60, 708)(61, 709)(62, 710)(63, 711)(64, 712)(65, 713)(66, 714)(67, 715)(68, 716)(69, 717)(70, 718)(71, 719)(72, 720)(73, 721)(74, 722)(75, 723)(76, 724)(77, 725)(78, 726)(79, 727)(80, 728)(81, 729)(82, 730)(83, 731)(84, 732)(85, 733)(86, 734)(87, 735)(88, 736)(89, 737)(90, 738)(91, 739)(92, 740)(93, 741)(94, 742)(95, 743)(96, 744)(97, 745)(98, 746)(99, 747)(100, 748)(101, 749)(102, 750)(103, 751)(104, 752)(105, 753)(106, 754)(107, 755)(108, 756)(109, 757)(110, 758)(111, 759)(112, 760)(113, 761)(114, 762)(115, 763)(116, 764)(117, 765)(118, 766)(119, 767)(120, 768)(121, 769)(122, 770)(123, 771)(124, 772)(125, 773)(126, 774)(127, 775)(128, 776)(129, 777)(130, 778)(131, 779)(132, 780)(133, 781)(134, 782)(135, 783)(136, 784)(137, 785)(138, 786)(139, 787)(140, 788)(141, 789)(142, 790)(143, 791)(144, 792)(145, 793)(146, 794)(147, 795)(148, 796)(149, 797)(150, 798)(151, 799)(152, 800)(153, 801)(154, 802)(155, 803)(156, 804)(157, 805)(158, 806)(159, 807)(160, 808)(161, 809)(162, 810)(163, 811)(164, 812)(165, 813)(166, 814)(167, 815)(168, 816)(169, 817)(170, 818)(171, 819)(172, 820)(173, 821)(174, 822)(175, 823)(176, 824)(177, 825)(178, 826)(179, 827)(180, 828)(181, 829)(182, 830)(183, 831)(184, 832)(185, 833)(186, 834)(187, 835)(188, 836)(189, 837)(190, 838)(191, 839)(192, 840)(193, 841)(194, 842)(195, 843)(196, 844)(197, 845)(198, 846)(199, 847)(200, 848)(201, 849)(202, 850)(203, 851)(204, 852)(205, 853)(206, 854)(207, 855)(208, 856)(209, 857)(210, 858)(211, 859)(212, 860)(213, 861)(214, 862)(215, 863)(216, 864)(217, 865)(218, 866)(219, 867)(220, 868)(221, 869)(222, 870)(223, 871)(224, 872)(225, 873)(226, 874)(227, 875)(228, 876)(229, 877)(230, 878)(231, 879)(232, 880)(233, 881)(234, 882)(235, 883)(236, 884)(237, 885)(238, 886)(239, 887)(240, 888)(241, 889)(242, 890)(243, 891)(244, 892)(245, 893)(246, 894)(247, 895)(248, 896)(249, 897)(250, 898)(251, 899)(252, 900)(253, 901)(254, 902)(255, 903)(256, 904)(257, 905)(258, 906)(259, 907)(260, 908)(261, 909)(262, 910)(263, 911)(264, 912)(265, 913)(266, 914)(267, 915)(268, 916)(269, 917)(270, 918)(271, 919)(272, 920)(273, 921)(274, 922)(275, 923)(276, 924)(277, 925)(278, 926)(279, 927)(280, 928)(281, 929)(282, 930)(283, 931)(284, 932)(285, 933)(286, 934)(287, 935)(288, 936)(289, 937)(290, 938)(291, 939)(292, 940)(293, 941)(294, 942)(295, 943)(296, 944)(297, 945)(298, 946)(299, 947)(300, 948)(301, 949)(302, 950)(303, 951)(304, 952)(305, 953)(306, 954)(307, 955)(308, 956)(309, 957)(310, 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1052)(405, 1053)(406, 1054)(407, 1055)(408, 1056)(409, 1057)(410, 1058)(411, 1059)(412, 1060)(413, 1061)(414, 1062)(415, 1063)(416, 1064)(417, 1065)(418, 1066)(419, 1067)(420, 1068)(421, 1069)(422, 1070)(423, 1071)(424, 1072)(425, 1073)(426, 1074)(427, 1075)(428, 1076)(429, 1077)(430, 1078)(431, 1079)(432, 1080)(433, 1081)(434, 1082)(435, 1083)(436, 1084)(437, 1085)(438, 1086)(439, 1087)(440, 1088)(441, 1089)(442, 1090)(443, 1091)(444, 1092)(445, 1093)(446, 1094)(447, 1095)(448, 1096)(449, 1097)(450, 1098)(451, 1099)(452, 1100)(453, 1101)(454, 1102)(455, 1103)(456, 1104)(457, 1105)(458, 1106)(459, 1107)(460, 1108)(461, 1109)(462, 1110)(463, 1111)(464, 1112)(465, 1113)(466, 1114)(467, 1115)(468, 1116)(469, 1117)(470, 1118)(471, 1119)(472, 1120)(473, 1121)(474, 1122)(475, 1123)(476, 1124)(477, 1125)(478, 1126)(479, 1127)(480, 1128)(481, 1129)(482, 1130)(483, 1131)(484, 1132)(485, 1133)(486, 1134)(487, 1135)(488, 1136)(489, 1137)(490, 1138)(491, 1139)(492, 1140)(493, 1141)(494, 1142)(495, 1143)(496, 1144)(497, 1145)(498, 1146)(499, 1147)(500, 1148)(501, 1149)(502, 1150)(503, 1151)(504, 1152)(505, 1153)(506, 1154)(507, 1155)(508, 1156)(509, 1157)(510, 1158)(511, 1159)(512, 1160)(513, 1161)(514, 1162)(515, 1163)(516, 1164)(517, 1165)(518, 1166)(519, 1167)(520, 1168)(521, 1169)(522, 1170)(523, 1171)(524, 1172)(525, 1173)(526, 1174)(527, 1175)(528, 1176)(529, 1177)(530, 1178)(531, 1179)(532, 1180)(533, 1181)(534, 1182)(535, 1183)(536, 1184)(537, 1185)(538, 1186)(539, 1187)(540, 1188)(541, 1189)(542, 1190)(543, 1191)(544, 1192)(545, 1193)(546, 1194)(547, 1195)(548, 1196)(549, 1197)(550, 1198)(551, 1199)(552, 1200)(553, 1201)(554, 1202)(555, 1203)(556, 1204)(557, 1205)(558, 1206)(559, 1207)(560, 1208)(561, 1209)(562, 1210)(563, 1211)(564, 1212)(565, 1213)(566, 1214)(567, 1215)(568, 1216)(569, 1217)(570, 1218)(571, 1219)(572, 1220)(573, 1221)(574, 1222)(575, 1223)(576, 1224)(577, 1225)(578, 1226)(579, 1227)(580, 1228)(581, 1229)(582, 1230)(583, 1231)(584, 1232)(585, 1233)(586, 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1979)(1317, 1965, 1333, 1981)(1319, 1967, 1336, 1984)(1320, 1968, 1338, 1986)(1322, 1970, 1341, 1989)(1324, 1972, 1344, 1992)(1325, 1973, 1346, 1994)(1327, 1975, 1349, 1997)(1329, 1977, 1352, 2000)(1330, 1978, 1354, 2002)(1332, 1980, 1357, 2005)(1334, 1982, 1360, 2008)(1335, 1983, 1362, 2010)(1337, 1985, 1365, 2013)(1339, 1987, 1368, 2016)(1340, 1988, 1370, 2018)(1342, 1990, 1373, 2021)(1343, 1991, 1375, 2023)(1345, 1993, 1378, 2026)(1347, 1995, 1381, 2029)(1348, 1996, 1383, 2031)(1350, 1998, 1386, 2034)(1351, 1999, 1388, 2036)(1353, 2001, 1391, 2039)(1355, 2003, 1394, 2042)(1356, 2004, 1396, 2044)(1358, 2006, 1399, 2047)(1359, 2007, 1400, 2048)(1361, 2009, 1403, 2051)(1363, 2011, 1406, 2054)(1364, 2012, 1408, 2056)(1366, 2014, 1411, 2059)(1367, 2015, 1413, 2061)(1369, 2017, 1416, 2064)(1371, 2019, 1419, 2067)(1372, 2020, 1421, 2069)(1374, 2022, 1424, 2072)(1376, 2024, 1426, 2074)(1377, 2025, 1428, 2076)(1379, 2027, 1431, 2079)(1380, 2028, 1433, 2081)(1382, 2030, 1436, 2084)(1384, 2032, 1439, 2087)(1385, 2033, 1441, 2089)(1387, 2035, 1444, 2092)(1389, 2037, 1446, 2094)(1390, 2038, 1448, 2096)(1392, 2040, 1451, 2099)(1393, 2041, 1453, 2101)(1395, 2043, 1456, 2104)(1397, 2045, 1459, 2107)(1398, 2046, 1461, 2109)(1401, 2049, 1465, 2113)(1402, 2050, 1467, 2115)(1404, 2052, 1470, 2118)(1405, 2053, 1472, 2120)(1407, 2055, 1475, 2123)(1409, 2057, 1478, 2126)(1410, 2058, 1480, 2128)(1412, 2060, 1483, 2131)(1414, 2062, 1485, 2133)(1415, 2063, 1487, 2135)(1417, 2065, 1490, 2138)(1418, 2066, 1492, 2140)(1420, 2068, 1495, 2143)(1422, 2070, 1498, 2146)(1423, 2071, 1500, 2148)(1425, 2073, 1503, 2151)(1427, 2075, 1506, 2154)(1429, 2077, 1509, 2157)(1430, 2078, 1511, 2159)(1432, 2080, 1514, 2162)(1434, 2082, 1516, 2164)(1435, 2083, 1518, 2166)(1437, 2085, 1521, 2169)(1438, 2086, 1523, 2171)(1440, 2088, 1526, 2174)(1442, 2090, 1529, 2177)(1443, 2091, 1531, 2179)(1445, 2093, 1534, 2182)(1447, 2095, 1537, 2185)(1449, 2097, 1540, 2188)(1450, 2098, 1542, 2190)(1452, 2100, 1545, 2193)(1454, 2102, 1547, 2195)(1455, 2103, 1549, 2197)(1457, 2105, 1552, 2200)(1458, 2106, 1554, 2202)(1460, 2108, 1557, 2205)(1462, 2110, 1560, 2208)(1463, 2111, 1533, 2181)(1464, 2112, 1563, 2211)(1466, 2114, 1566, 2214)(1468, 2116, 1569, 2217)(1469, 2117, 1571, 2219)(1471, 2119, 1574, 2222)(1473, 2121, 1576, 2224)(1474, 2122, 1578, 2226)(1476, 2124, 1581, 2229)(1477, 2125, 1583, 2231)(1479, 2127, 1586, 2234)(1481, 2129, 1589, 2237)(1482, 2130, 1591, 2239)(1484, 2132, 1594, 2242)(1486, 2134, 1597, 2245)(1488, 2136, 1600, 2248)(1489, 2137, 1602, 2250)(1491, 2139, 1605, 2253)(1493, 2141, 1607, 2255)(1494, 2142, 1609, 2257)(1496, 2144, 1612, 2260)(1497, 2145, 1614, 2262)(1499, 2147, 1617, 2265)(1501, 2149, 1620, 2268)(1502, 2150, 1593, 2241)(1504, 2152, 1624, 2272)(1505, 2153, 1626, 2274)(1507, 2155, 1629, 2277)(1508, 2156, 1631, 2279)(1510, 2158, 1634, 2282)(1512, 2160, 1636, 2284)(1513, 2161, 1638, 2286)(1515, 2163, 1641, 2289)(1517, 2165, 1644, 2292)(1519, 2167, 1647, 2295)(1520, 2168, 1649, 2297)(1522, 2170, 1592, 2240)(1524, 2172, 1653, 2301)(1525, 2173, 1654, 2302)(1527, 2175, 1657, 2305)(1528, 2176, 1659, 2307)(1530, 2178, 1661, 2309)(1532, 2180, 1582, 2230)(1535, 2183, 1667, 2315)(1536, 2184, 1669, 2317)(1538, 2186, 1645, 2293)(1539, 2187, 1672, 2320)(1541, 2189, 1675, 2323)(1543, 2191, 1676, 2324)(1544, 2192, 1678, 2326)(1546, 2194, 1680, 2328)(1548, 2196, 1628, 2276)(1550, 2198, 1684, 2332)(1551, 2199, 1685, 2333)(1553, 2201, 1622, 2270)(1555, 2203, 1689, 2337)(1556, 2204, 1690, 2338)(1558, 2206, 1692, 2340)(1559, 2207, 1694, 2342)(1561, 2209, 1695, 2343)(1562, 2210, 1613, 2261)(1564, 2212, 1699, 2347)(1565, 2213, 1701, 2349)(1567, 2215, 1704, 2352)(1568, 2216, 1706, 2354)(1570, 2218, 1709, 2357)(1572, 2220, 1711, 2359)(1573, 2221, 1713, 2361)(1575, 2223, 1716, 2364)(1577, 2225, 1719, 2367)(1579, 2227, 1722, 2370)(1580, 2228, 1724, 2372)(1584, 2232, 1728, 2376)(1585, 2233, 1729, 2377)(1587, 2235, 1732, 2380)(1588, 2236, 1734, 2382)(1590, 2238, 1736, 2384)(1595, 2243, 1742, 2390)(1596, 2244, 1744, 2392)(1598, 2246, 1720, 2368)(1599, 2247, 1747, 2395)(1601, 2249, 1750, 2398)(1603, 2251, 1751, 2399)(1604, 2252, 1753, 2401)(1606, 2254, 1755, 2403)(1608, 2256, 1703, 2351)(1610, 2258, 1759, 2407)(1611, 2259, 1760, 2408)(1615, 2263, 1764, 2412)(1616, 2264, 1765, 2413)(1618, 2266, 1767, 2415)(1619, 2267, 1769, 2417)(1621, 2269, 1770, 2418)(1623, 2271, 1773, 2421)(1625, 2273, 1776, 2424)(1627, 2275, 1779, 2427)(1630, 2278, 1738, 2386)(1632, 2280, 1784, 2432)(1633, 2281, 1785, 2433)(1635, 2283, 1788, 2436)(1637, 2285, 1790, 2438)(1639, 2287, 1768, 2416)(1640, 2288, 1715, 2363)(1642, 2290, 1794, 2442)(1643, 2291, 1796, 2444)(1646, 2294, 1799, 2447)(1648, 2296, 1802, 2450)(1650, 2298, 1803, 2451)(1651, 2299, 1739, 2387)(1652, 2300, 1806, 2454)(1655, 2303, 1809, 2457)(1656, 2304, 1810, 2458)(1658, 2306, 1754, 2402)(1660, 2308, 1814, 2462)(1662, 2310, 1816, 2464)(1663, 2311, 1705, 2353)(1664, 2312, 1726, 2374)(1665, 2313, 1746, 2394)(1666, 2314, 1818, 2466)(1668, 2316, 1821, 2469)(1670, 2318, 1823, 2471)(1671, 2319, 1740, 2388)(1673, 2321, 1826, 2474)(1674, 2322, 1827, 2475)(1677, 2325, 1831, 2479)(1679, 2327, 1733, 2381)(1681, 2329, 1834, 2482)(1682, 2330, 1781, 2429)(1683, 2331, 1836, 2484)(1686, 2334, 1839, 2487)(1687, 2335, 1772, 2420)(1688, 2336, 1842, 2490)(1691, 2339, 1844, 2492)(1693, 2341, 1714, 2362)(1696, 2344, 1812, 2460)(1697, 2345, 1762, 2410)(1698, 2346, 1847, 2495)(1700, 2348, 1850, 2498)(1702, 2350, 1853, 2501)(1707, 2355, 1858, 2506)(1708, 2356, 1859, 2507)(1710, 2358, 1862, 2510)(1712, 2360, 1864, 2512)(1717, 2365, 1868, 2516)(1718, 2366, 1870, 2518)(1721, 2369, 1873, 2521)(1723, 2371, 1876, 2524)(1725, 2373, 1877, 2525)(1727, 2375, 1880, 2528)(1730, 2378, 1883, 2531)(1731, 2379, 1884, 2532)(1735, 2383, 1888, 2536)(1737, 2385, 1890, 2538)(1741, 2389, 1892, 2540)(1743, 2391, 1895, 2543)(1745, 2393, 1897, 2545)(1748, 2396, 1900, 2548)(1749, 2397, 1901, 2549)(1752, 2400, 1905, 2553)(1756, 2404, 1908, 2556)(1757, 2405, 1855, 2503)(1758, 2406, 1910, 2558)(1761, 2409, 1913, 2561)(1763, 2411, 1916, 2564)(1766, 2414, 1918, 2566)(1771, 2419, 1886, 2534)(1774, 2422, 1867, 2515)(1775, 2423, 1857, 2505)(1777, 2425, 1887, 2535)(1778, 2426, 1852, 2500)(1780, 2428, 1885, 2533)(1782, 2430, 1866, 2514)(1783, 2431, 1849, 2497)(1786, 2434, 1865, 2513)(1787, 2435, 1922, 2570)(1789, 2437, 1924, 2572)(1791, 2439, 1860, 2508)(1792, 2440, 1856, 2504)(1793, 2441, 1848, 2496)(1795, 2443, 1869, 2517)(1797, 2445, 1911, 2559)(1798, 2446, 1891, 2539)(1800, 2448, 1909, 2557)(1801, 2449, 1920, 2568)(1804, 2452, 1917, 2565)(1805, 2453, 1915, 2563)(1807, 2455, 1881, 2529)(1808, 2456, 1914, 2562)(1811, 2459, 1854, 2502)(1813, 2461, 1851, 2499)(1815, 2463, 1912, 2560)(1817, 2465, 1872, 2520)(1819, 2467, 1907, 2555)(1820, 2468, 1899, 2547)(1822, 2470, 1896, 2544)(1824, 2472, 1919, 2567)(1825, 2473, 1894, 2542)(1828, 2476, 1906, 2554)(1829, 2477, 1930, 2578)(1830, 2478, 1931, 2579)(1832, 2480, 1902, 2550)(1833, 2481, 1893, 2541)(1835, 2483, 1874, 2522)(1837, 2485, 1871, 2519)(1838, 2486, 1889, 2537)(1840, 2488, 1882, 2530)(1841, 2489, 1879, 2527)(1843, 2491, 1878, 2526)(1845, 2493, 1898, 2546)(1846, 2494, 1875, 2523)(1861, 2509, 1933, 2581)(1863, 2511, 1935, 2583)(1903, 2551, 1941, 2589)(1904, 2552, 1942, 2590)(1921, 2569, 1936, 2584)(1923, 2571, 1937, 2585)(1925, 2573, 1932, 2580)(1926, 2574, 1934, 2582)(1927, 2575, 1939, 2587)(1928, 2576, 1938, 2586)(1929, 2577, 1943, 2591)(1940, 2588, 1944, 2592)
	L = (1, 1299)(2, 1301)(3, 1304)(4, 1297)(5, 1308)(6, 1298)(7, 1309)(8, 1313)(9, 1314)(10, 1300)(11, 1305)(12, 1319)(13, 1320)(14, 1302)(15, 1303)(16, 1323)(17, 1327)(18, 1329)(19, 1330)(20, 1306)(21, 1307)(22, 1333)(23, 1337)(24, 1339)(25, 1340)(26, 1310)(27, 1343)(28, 1311)(29, 1312)(30, 1346)(31, 1350)(32, 1315)(33, 1353)(34, 1355)(35, 1356)(36, 1316)(37, 1359)(38, 1317)(39, 1318)(40, 1362)(41, 1366)(42, 1321)(43, 1369)(44, 1371)(45, 1372)(46, 1322)(47, 1376)(48, 1377)(49, 1324)(50, 1380)(51, 1325)(52, 1326)(53, 1383)(54, 1387)(55, 1328)(56, 1388)(57, 1392)(58, 1331)(59, 1395)(60, 1397)(61, 1398)(62, 1332)(63, 1401)(64, 1402)(65, 1334)(66, 1405)(67, 1335)(68, 1336)(69, 1408)(70, 1412)(71, 1338)(72, 1413)(73, 1417)(74, 1341)(75, 1420)(76, 1422)(77, 1423)(78, 1342)(79, 1344)(80, 1427)(81, 1429)(82, 1430)(83, 1345)(84, 1434)(85, 1435)(86, 1347)(87, 1438)(88, 1348)(89, 1349)(90, 1441)(91, 1358)(92, 1445)(93, 1351)(94, 1352)(95, 1448)(96, 1452)(97, 1354)(98, 1453)(99, 1457)(100, 1357)(101, 1460)(102, 1462)(103, 1463)(104, 1360)(105, 1466)(106, 1468)(107, 1469)(108, 1361)(109, 1473)(110, 1474)(111, 1363)(112, 1477)(113, 1364)(114, 1365)(115, 1480)(116, 1374)(117, 1484)(118, 1367)(119, 1368)(120, 1487)(121, 1491)(122, 1370)(123, 1492)(124, 1496)(125, 1373)(126, 1499)(127, 1501)(128, 1502)(129, 1375)(130, 1503)(131, 1507)(132, 1378)(133, 1510)(134, 1512)(135, 1513)(136, 1379)(137, 1381)(138, 1517)(139, 1519)(140, 1520)(141, 1382)(142, 1524)(143, 1525)(144, 1384)(145, 1528)(146, 1385)(147, 1386)(148, 1531)(149, 1535)(150, 1536)(151, 1389)(152, 1539)(153, 1390)(154, 1391)(155, 1542)(156, 1471)(157, 1546)(158, 1393)(159, 1394)(160, 1549)(161, 1553)(162, 1396)(163, 1554)(164, 1558)(165, 1399)(166, 1561)(167, 1562)(168, 1400)(169, 1563)(170, 1567)(171, 1403)(172, 1570)(173, 1572)(174, 1573)(175, 1404)(176, 1406)(177, 1577)(178, 1579)(179, 1580)(180, 1407)(181, 1584)(182, 1585)(183, 1409)(184, 1588)(185, 1410)(186, 1411)(187, 1591)(188, 1595)(189, 1596)(190, 1414)(191, 1599)(192, 1415)(193, 1416)(194, 1602)(195, 1432)(196, 1606)(197, 1418)(198, 1419)(199, 1609)(200, 1613)(201, 1421)(202, 1614)(203, 1618)(204, 1424)(205, 1621)(206, 1622)(207, 1623)(208, 1425)(209, 1426)(210, 1626)(211, 1630)(212, 1428)(213, 1631)(214, 1635)(215, 1431)(216, 1637)(217, 1639)(218, 1640)(219, 1433)(220, 1641)(221, 1645)(222, 1436)(223, 1648)(224, 1650)(225, 1651)(226, 1437)(227, 1439)(228, 1571)(229, 1655)(230, 1656)(231, 1440)(232, 1619)(233, 1660)(234, 1442)(235, 1663)(236, 1443)(237, 1444)(238, 1446)(239, 1668)(240, 1670)(241, 1644)(242, 1447)(243, 1673)(244, 1674)(245, 1449)(246, 1615)(247, 1450)(248, 1451)(249, 1678)(250, 1681)(251, 1682)(252, 1454)(253, 1683)(254, 1455)(255, 1456)(256, 1685)(257, 1671)(258, 1688)(259, 1458)(260, 1459)(261, 1690)(262, 1693)(263, 1461)(264, 1694)(265, 1696)(266, 1697)(267, 1698)(268, 1464)(269, 1465)(270, 1701)(271, 1705)(272, 1467)(273, 1706)(274, 1710)(275, 1470)(276, 1712)(277, 1714)(278, 1715)(279, 1472)(280, 1716)(281, 1720)(282, 1475)(283, 1723)(284, 1725)(285, 1726)(286, 1476)(287, 1478)(288, 1511)(289, 1730)(290, 1731)(291, 1479)(292, 1559)(293, 1735)(294, 1481)(295, 1738)(296, 1482)(297, 1483)(298, 1485)(299, 1743)(300, 1745)(301, 1719)(302, 1486)(303, 1748)(304, 1749)(305, 1488)(306, 1555)(307, 1489)(308, 1490)(309, 1753)(310, 1756)(311, 1757)(312, 1493)(313, 1758)(314, 1494)(315, 1495)(316, 1760)(317, 1746)(318, 1763)(319, 1497)(320, 1498)(321, 1765)(322, 1768)(323, 1500)(324, 1769)(325, 1771)(326, 1772)(327, 1774)(328, 1775)(329, 1504)(330, 1778)(331, 1505)(332, 1506)(333, 1548)(334, 1522)(335, 1783)(336, 1508)(337, 1509)(338, 1785)(339, 1560)(340, 1728)(341, 1791)(342, 1514)(343, 1737)(344, 1545)(345, 1793)(346, 1515)(347, 1516)(348, 1796)(349, 1798)(350, 1518)(351, 1799)(352, 1556)(353, 1521)(354, 1804)(355, 1805)(356, 1523)(357, 1806)(358, 1526)(359, 1550)(360, 1811)(361, 1812)(362, 1527)(363, 1529)(364, 1541)(365, 1815)(366, 1530)(367, 1792)(368, 1532)(369, 1533)(370, 1534)(371, 1818)(372, 1813)(373, 1537)(374, 1824)(375, 1538)(376, 1540)(377, 1724)(378, 1828)(379, 1829)(380, 1830)(381, 1543)(382, 1817)(383, 1544)(384, 1547)(385, 1807)(386, 1835)(387, 1837)(388, 1838)(389, 1707)(390, 1551)(391, 1552)(392, 1795)(393, 1751)(394, 1843)(395, 1557)(396, 1844)(397, 1782)(398, 1777)(399, 1788)(400, 1754)(401, 1739)(402, 1848)(403, 1849)(404, 1564)(405, 1852)(406, 1565)(407, 1566)(408, 1608)(409, 1582)(410, 1857)(411, 1568)(412, 1569)(413, 1859)(414, 1620)(415, 1653)(416, 1865)(417, 1574)(418, 1662)(419, 1605)(420, 1867)(421, 1575)(422, 1576)(423, 1870)(424, 1872)(425, 1578)(426, 1873)(427, 1616)(428, 1581)(429, 1878)(430, 1879)(431, 1583)(432, 1880)(433, 1586)(434, 1610)(435, 1885)(436, 1886)(437, 1587)(438, 1589)(439, 1601)(440, 1889)(441, 1590)(442, 1866)(443, 1592)(444, 1593)(445, 1594)(446, 1892)(447, 1887)(448, 1597)(449, 1898)(450, 1598)(451, 1600)(452, 1649)(453, 1902)(454, 1903)(455, 1904)(456, 1603)(457, 1891)(458, 1604)(459, 1607)(460, 1881)(461, 1909)(462, 1911)(463, 1912)(464, 1632)(465, 1611)(466, 1612)(467, 1869)(468, 1676)(469, 1917)(470, 1617)(471, 1918)(472, 1856)(473, 1851)(474, 1862)(475, 1679)(476, 1664)(477, 1624)(478, 1868)(479, 1858)(480, 1895)(481, 1625)(482, 1853)(483, 1884)(484, 1627)(485, 1628)(486, 1629)(487, 1850)(488, 1913)(489, 1864)(490, 1633)(491, 1634)(492, 1922)(493, 1636)(494, 1924)(495, 1915)(496, 1638)(497, 1925)(498, 1916)(499, 1642)(500, 1910)(501, 1643)(502, 1658)(503, 1855)(504, 1646)(505, 1647)(506, 1920)(507, 1900)(508, 1876)(509, 1906)(510, 1908)(511, 1652)(512, 1654)(513, 1914)(514, 1657)(515, 1929)(516, 1875)(517, 1659)(518, 1661)(519, 1883)(520, 1692)(521, 1665)(522, 1921)(523, 1666)(524, 1667)(525, 1899)(526, 1669)(527, 1896)(528, 1863)(529, 1672)(530, 1894)(531, 1675)(532, 1860)(533, 1923)(534, 1854)(535, 1901)(536, 1677)(537, 1680)(538, 1893)(539, 1926)(540, 1684)(541, 1930)(542, 1890)(543, 1927)(544, 1686)(545, 1687)(546, 1689)(547, 1928)(548, 1897)(549, 1691)(550, 1695)(551, 1699)(552, 1794)(553, 1784)(554, 1821)(555, 1700)(556, 1779)(557, 1810)(558, 1702)(559, 1703)(560, 1704)(561, 1776)(562, 1839)(563, 1790)(564, 1708)(565, 1709)(566, 1933)(567, 1711)(568, 1935)(569, 1841)(570, 1713)(571, 1936)(572, 1842)(573, 1717)(574, 1836)(575, 1718)(576, 1733)(577, 1781)(578, 1721)(579, 1722)(580, 1846)(581, 1826)(582, 1802)(583, 1832)(584, 1834)(585, 1727)(586, 1729)(587, 1840)(588, 1732)(589, 1940)(590, 1801)(591, 1734)(592, 1736)(593, 1809)(594, 1767)(595, 1740)(596, 1932)(597, 1741)(598, 1742)(599, 1825)(600, 1744)(601, 1822)(602, 1789)(603, 1747)(604, 1820)(605, 1750)(606, 1786)(607, 1934)(608, 1780)(609, 1827)(610, 1752)(611, 1755)(612, 1819)(613, 1937)(614, 1759)(615, 1941)(616, 1816)(617, 1938)(618, 1761)(619, 1762)(620, 1764)(621, 1939)(622, 1823)(623, 1766)(624, 1770)(625, 1773)(626, 1800)(627, 1787)(628, 1943)(629, 1833)(630, 1797)(631, 1803)(632, 1808)(633, 1845)(634, 1814)(635, 1831)(636, 1847)(637, 1874)(638, 1861)(639, 1944)(640, 1907)(641, 1871)(642, 1877)(643, 1882)(644, 1919)(645, 1888)(646, 1905)(647, 1931)(648, 1942)(649, 1945)(650, 1946)(651, 1947)(652, 1948)(653, 1949)(654, 1950)(655, 1951)(656, 1952)(657, 1953)(658, 1954)(659, 1955)(660, 1956)(661, 1957)(662, 1958)(663, 1959)(664, 1960)(665, 1961)(666, 1962)(667, 1963)(668, 1964)(669, 1965)(670, 1966)(671, 1967)(672, 1968)(673, 1969)(674, 1970)(675, 1971)(676, 1972)(677, 1973)(678, 1974)(679, 1975)(680, 1976)(681, 1977)(682, 1978)(683, 1979)(684, 1980)(685, 1981)(686, 1982)(687, 1983)(688, 1984)(689, 1985)(690, 1986)(691, 1987)(692, 1988)(693, 1989)(694, 1990)(695, 1991)(696, 1992)(697, 1993)(698, 1994)(699, 1995)(700, 1996)(701, 1997)(702, 1998)(703, 1999)(704, 2000)(705, 2001)(706, 2002)(707, 2003)(708, 2004)(709, 2005)(710, 2006)(711, 2007)(712, 2008)(713, 2009)(714, 2010)(715, 2011)(716, 2012)(717, 2013)(718, 2014)(719, 2015)(720, 2016)(721, 2017)(722, 2018)(723, 2019)(724, 2020)(725, 2021)(726, 2022)(727, 2023)(728, 2024)(729, 2025)(730, 2026)(731, 2027)(732, 2028)(733, 2029)(734, 2030)(735, 2031)(736, 2032)(737, 2033)(738, 2034)(739, 2035)(740, 2036)(741, 2037)(742, 2038)(743, 2039)(744, 2040)(745, 2041)(746, 2042)(747, 2043)(748, 2044)(749, 2045)(750, 2046)(751, 2047)(752, 2048)(753, 2049)(754, 2050)(755, 2051)(756, 2052)(757, 2053)(758, 2054)(759, 2055)(760, 2056)(761, 2057)(762, 2058)(763, 2059)(764, 2060)(765, 2061)(766, 2062)(767, 2063)(768, 2064)(769, 2065)(770, 2066)(771, 2067)(772, 2068)(773, 2069)(774, 2070)(775, 2071)(776, 2072)(777, 2073)(778, 2074)(779, 2075)(780, 2076)(781, 2077)(782, 2078)(783, 2079)(784, 2080)(785, 2081)(786, 2082)(787, 2083)(788, 2084)(789, 2085)(790, 2086)(791, 2087)(792, 2088)(793, 2089)(794, 2090)(795, 2091)(796, 2092)(797, 2093)(798, 2094)(799, 2095)(800, 2096)(801, 2097)(802, 2098)(803, 2099)(804, 2100)(805, 2101)(806, 2102)(807, 2103)(808, 2104)(809, 2105)(810, 2106)(811, 2107)(812, 2108)(813, 2109)(814, 2110)(815, 2111)(816, 2112)(817, 2113)(818, 2114)(819, 2115)(820, 2116)(821, 2117)(822, 2118)(823, 2119)(824, 2120)(825, 2121)(826, 2122)(827, 2123)(828, 2124)(829, 2125)(830, 2126)(831, 2127)(832, 2128)(833, 2129)(834, 2130)(835, 2131)(836, 2132)(837, 2133)(838, 2134)(839, 2135)(840, 2136)(841, 2137)(842, 2138)(843, 2139)(844, 2140)(845, 2141)(846, 2142)(847, 2143)(848, 2144)(849, 2145)(850, 2146)(851, 2147)(852, 2148)(853, 2149)(854, 2150)(855, 2151)(856, 2152)(857, 2153)(858, 2154)(859, 2155)(860, 2156)(861, 2157)(862, 2158)(863, 2159)(864, 2160)(865, 2161)(866, 2162)(867, 2163)(868, 2164)(869, 2165)(870, 2166)(871, 2167)(872, 2168)(873, 2169)(874, 2170)(875, 2171)(876, 2172)(877, 2173)(878, 2174)(879, 2175)(880, 2176)(881, 2177)(882, 2178)(883, 2179)(884, 2180)(885, 2181)(886, 2182)(887, 2183)(888, 2184)(889, 2185)(890, 2186)(891, 2187)(892, 2188)(893, 2189)(894, 2190)(895, 2191)(896, 2192)(897, 2193)(898, 2194)(899, 2195)(900, 2196)(901, 2197)(902, 2198)(903, 2199)(904, 2200)(905, 2201)(906, 2202)(907, 2203)(908, 2204)(909, 2205)(910, 2206)(911, 2207)(912, 2208)(913, 2209)(914, 2210)(915, 2211)(916, 2212)(917, 2213)(918, 2214)(919, 2215)(920, 2216)(921, 2217)(922, 2218)(923, 2219)(924, 2220)(925, 2221)(926, 2222)(927, 2223)(928, 2224)(929, 2225)(930, 2226)(931, 2227)(932, 2228)(933, 2229)(934, 2230)(935, 2231)(936, 2232)(937, 2233)(938, 2234)(939, 2235)(940, 2236)(941, 2237)(942, 2238)(943, 2239)(944, 2240)(945, 2241)(946, 2242)(947, 2243)(948, 2244)(949, 2245)(950, 2246)(951, 2247)(952, 2248)(953, 2249)(954, 2250)(955, 2251)(956, 2252)(957, 2253)(958, 2254)(959, 2255)(960, 2256)(961, 2257)(962, 2258)(963, 2259)(964, 2260)(965, 2261)(966, 2262)(967, 2263)(968, 2264)(969, 2265)(970, 2266)(971, 2267)(972, 2268)(973, 2269)(974, 2270)(975, 2271)(976, 2272)(977, 2273)(978, 2274)(979, 2275)(980, 2276)(981, 2277)(982, 2278)(983, 2279)(984, 2280)(985, 2281)(986, 2282)(987, 2283)(988, 2284)(989, 2285)(990, 2286)(991, 2287)(992, 2288)(993, 2289)(994, 2290)(995, 2291)(996, 2292)(997, 2293)(998, 2294)(999, 2295)(1000, 2296)(1001, 2297)(1002, 2298)(1003, 2299)(1004, 2300)(1005, 2301)(1006, 2302)(1007, 2303)(1008, 2304)(1009, 2305)(1010, 2306)(1011, 2307)(1012, 2308)(1013, 2309)(1014, 2310)(1015, 2311)(1016, 2312)(1017, 2313)(1018, 2314)(1019, 2315)(1020, 2316)(1021, 2317)(1022, 2318)(1023, 2319)(1024, 2320)(1025, 2321)(1026, 2322)(1027, 2323)(1028, 2324)(1029, 2325)(1030, 2326)(1031, 2327)(1032, 2328)(1033, 2329)(1034, 2330)(1035, 2331)(1036, 2332)(1037, 2333)(1038, 2334)(1039, 2335)(1040, 2336)(1041, 2337)(1042, 2338)(1043, 2339)(1044, 2340)(1045, 2341)(1046, 2342)(1047, 2343)(1048, 2344)(1049, 2345)(1050, 2346)(1051, 2347)(1052, 2348)(1053, 2349)(1054, 2350)(1055, 2351)(1056, 2352)(1057, 2353)(1058, 2354)(1059, 2355)(1060, 2356)(1061, 2357)(1062, 2358)(1063, 2359)(1064, 2360)(1065, 2361)(1066, 2362)(1067, 2363)(1068, 2364)(1069, 2365)(1070, 2366)(1071, 2367)(1072, 2368)(1073, 2369)(1074, 2370)(1075, 2371)(1076, 2372)(1077, 2373)(1078, 2374)(1079, 2375)(1080, 2376)(1081, 2377)(1082, 2378)(1083, 2379)(1084, 2380)(1085, 2381)(1086, 2382)(1087, 2383)(1088, 2384)(1089, 2385)(1090, 2386)(1091, 2387)(1092, 2388)(1093, 2389)(1094, 2390)(1095, 2391)(1096, 2392)(1097, 2393)(1098, 2394)(1099, 2395)(1100, 2396)(1101, 2397)(1102, 2398)(1103, 2399)(1104, 2400)(1105, 2401)(1106, 2402)(1107, 2403)(1108, 2404)(1109, 2405)(1110, 2406)(1111, 2407)(1112, 2408)(1113, 2409)(1114, 2410)(1115, 2411)(1116, 2412)(1117, 2413)(1118, 2414)(1119, 2415)(1120, 2416)(1121, 2417)(1122, 2418)(1123, 2419)(1124, 2420)(1125, 2421)(1126, 2422)(1127, 2423)(1128, 2424)(1129, 2425)(1130, 2426)(1131, 2427)(1132, 2428)(1133, 2429)(1134, 2430)(1135, 2431)(1136, 2432)(1137, 2433)(1138, 2434)(1139, 2435)(1140, 2436)(1141, 2437)(1142, 2438)(1143, 2439)(1144, 2440)(1145, 2441)(1146, 2442)(1147, 2443)(1148, 2444)(1149, 2445)(1150, 2446)(1151, 2447)(1152, 2448)(1153, 2449)(1154, 2450)(1155, 2451)(1156, 2452)(1157, 2453)(1158, 2454)(1159, 2455)(1160, 2456)(1161, 2457)(1162, 2458)(1163, 2459)(1164, 2460)(1165, 2461)(1166, 2462)(1167, 2463)(1168, 2464)(1169, 2465)(1170, 2466)(1171, 2467)(1172, 2468)(1173, 2469)(1174, 2470)(1175, 2471)(1176, 2472)(1177, 2473)(1178, 2474)(1179, 2475)(1180, 2476)(1181, 2477)(1182, 2478)(1183, 2479)(1184, 2480)(1185, 2481)(1186, 2482)(1187, 2483)(1188, 2484)(1189, 2485)(1190, 2486)(1191, 2487)(1192, 2488)(1193, 2489)(1194, 2490)(1195, 2491)(1196, 2492)(1197, 2493)(1198, 2494)(1199, 2495)(1200, 2496)(1201, 2497)(1202, 2498)(1203, 2499)(1204, 2500)(1205, 2501)(1206, 2502)(1207, 2503)(1208, 2504)(1209, 2505)(1210, 2506)(1211, 2507)(1212, 2508)(1213, 2509)(1214, 2510)(1215, 2511)(1216, 2512)(1217, 2513)(1218, 2514)(1219, 2515)(1220, 2516)(1221, 2517)(1222, 2518)(1223, 2519)(1224, 2520)(1225, 2521)(1226, 2522)(1227, 2523)(1228, 2524)(1229, 2525)(1230, 2526)(1231, 2527)(1232, 2528)(1233, 2529)(1234, 2530)(1235, 2531)(1236, 2532)(1237, 2533)(1238, 2534)(1239, 2535)(1240, 2536)(1241, 2537)(1242, 2538)(1243, 2539)(1244, 2540)(1245, 2541)(1246, 2542)(1247, 2543)(1248, 2544)(1249, 2545)(1250, 2546)(1251, 2547)(1252, 2548)(1253, 2549)(1254, 2550)(1255, 2551)(1256, 2552)(1257, 2553)(1258, 2554)(1259, 2555)(1260, 2556)(1261, 2557)(1262, 2558)(1263, 2559)(1264, 2560)(1265, 2561)(1266, 2562)(1267, 2563)(1268, 2564)(1269, 2565)(1270, 2566)(1271, 2567)(1272, 2568)(1273, 2569)(1274, 2570)(1275, 2571)(1276, 2572)(1277, 2573)(1278, 2574)(1279, 2575)(1280, 2576)(1281, 2577)(1282, 2578)(1283, 2579)(1284, 2580)(1285, 2581)(1286, 2582)(1287, 2583)(1288, 2584)(1289, 2585)(1290, 2586)(1291, 2587)(1292, 2588)(1293, 2589)(1294, 2590)(1295, 2591)(1296, 2592)
	local type(s) :: { ( 6, 24 ), ( 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.3340
Graph:: simple bipartite
	v = 972 e = 1296 f = 270
	degree seq :: [ 2^648, 4^324 ]

E28.3342 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 12})
Quotient :: dipole
Aut^+ = $<648, 262>$ (small group id <648, 262>)
Aut   = $<1296, 1786>$ (small group id <1296, 1786>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (Y1 * Y3)^3, Y1^12, Y1^12, (Y1^-2 * Y3 * Y1^2 * Y3 * Y1^-3)^2, Y3 * Y1^-4 * Y3 * Y1 * Y3 * Y1^-3 * Y3 * Y1 * Y3 * Y1^-4, Y3 * Y1 * Y3 * Y1^-2 * Y3 * Y1^-3 * Y3 * Y1 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^2 * Y3 * Y1^-1, Y3 * Y1^-2 * Y3 * Y1^3 * Y3 * Y1^3 * Y3 * Y1^2 * Y3 * Y1^-3 * Y3 * Y1^-3 ]
Map:: polytopal
	R = (1, 649, 2, 650, 5, 653, 11, 659, 21, 669, 37, 685, 63, 711, 62, 710, 36, 684, 20, 668, 10, 658, 4, 652)(3, 651, 7, 655, 15, 663, 27, 675, 47, 695, 79, 727, 129, 777, 91, 739, 54, 702, 31, 679, 17, 665, 8, 656)(6, 654, 13, 661, 25, 673, 43, 691, 73, 721, 119, 767, 192, 840, 128, 776, 78, 726, 46, 694, 26, 674, 14, 662)(9, 657, 18, 666, 32, 680, 55, 703, 92, 740, 149, 797, 226, 874, 141, 789, 86, 734, 51, 699, 29, 677, 16, 664)(12, 660, 23, 671, 41, 689, 69, 717, 113, 761, 182, 830, 289, 937, 191, 839, 118, 766, 72, 720, 42, 690, 24, 672)(19, 667, 34, 682, 58, 706, 97, 745, 157, 805, 250, 898, 383, 1031, 249, 897, 156, 804, 96, 744, 57, 705, 33, 681)(22, 670, 39, 687, 67, 715, 109, 757, 176, 824, 279, 927, 417, 1065, 288, 936, 181, 829, 112, 760, 68, 716, 40, 688)(28, 676, 49, 697, 83, 731, 135, 783, 216, 864, 339, 987, 403, 1051, 271, 919, 221, 869, 138, 786, 84, 732, 50, 698)(30, 678, 52, 700, 87, 735, 142, 790, 227, 875, 354, 1002, 404, 1052, 315, 963, 199, 847, 123, 771, 75, 723, 44, 692)(35, 683, 60, 708, 100, 748, 162, 810, 258, 906, 392, 1040, 430, 1078, 290, 938, 257, 905, 161, 809, 99, 747, 59, 707)(38, 686, 65, 713, 107, 755, 172, 820, 273, 921, 225, 873, 352, 1000, 416, 1064, 278, 926, 175, 823, 108, 756, 66, 714)(45, 693, 76, 724, 124, 772, 200, 848, 316, 964, 264, 912, 400, 1048, 439, 1087, 296, 944, 186, 834, 115, 763, 70, 718)(48, 696, 81, 729, 133, 781, 212, 860, 333, 981, 463, 1111, 552, 1200, 488, 1136, 338, 986, 215, 863, 134, 782, 82, 730)(53, 701, 89, 737, 145, 793, 232, 880, 362, 1010, 476, 1124, 551, 1199, 489, 1137, 361, 1009, 231, 879, 144, 792, 88, 736)(56, 704, 94, 742, 153, 801, 243, 891, 376, 1024, 407, 1055, 270, 918, 174, 822, 276, 924, 246, 894, 154, 802, 95, 743)(61, 709, 102, 750, 165, 813, 263, 911, 398, 1046, 428, 1076, 306, 954, 193, 841, 305, 953, 262, 910, 164, 812, 101, 749)(64, 712, 105, 753, 170, 818, 269, 917, 236, 884, 148, 796, 237, 885, 369, 1017, 409, 1057, 272, 920, 171, 819, 106, 754)(71, 719, 116, 764, 187, 835, 297, 945, 261, 909, 163, 811, 260, 908, 396, 1044, 422, 1070, 283, 931, 178, 826, 110, 758)(74, 722, 121, 769, 196, 844, 309, 957, 454, 1102, 588, 1236, 478, 1126, 331, 979, 459, 1107, 312, 960, 197, 845, 122, 770)(77, 725, 126, 774, 203, 851, 321, 969, 471, 1119, 600, 1248, 508, 1156, 355, 1003, 470, 1118, 320, 968, 202, 850, 125, 773)(80, 728, 131, 779, 210, 858, 323, 971, 204, 852, 127, 775, 205, 853, 324, 972, 475, 1123, 332, 980, 211, 859, 132, 780)(85, 733, 139, 787, 222, 870, 348, 996, 501, 1149, 368, 1016, 406, 1054, 553, 1201, 495, 1143, 343, 991, 218, 866, 136, 784)(90, 738, 147, 795, 235, 883, 367, 1015, 520, 1168, 371, 1019, 240, 888, 150, 798, 239, 887, 366, 1014, 234, 882, 146, 794)(93, 741, 151, 799, 241, 889, 372, 1020, 500, 1148, 347, 995, 408, 1056, 554, 1202, 526, 1174, 375, 1023, 242, 890, 152, 800)(98, 746, 159, 807, 254, 902, 388, 1036, 412, 1060, 275, 923, 173, 821, 111, 759, 179, 827, 284, 932, 255, 903, 160, 808)(103, 751, 167, 815, 266, 914, 401, 1049, 448, 1096, 303, 951, 209, 857, 130, 778, 208, 856, 329, 977, 265, 913, 166, 814)(104, 752, 168, 816, 267, 915, 402, 1050, 325, 973, 206, 854, 326, 974, 238, 886, 370, 1018, 405, 1053, 268, 916, 169, 817)(114, 762, 184, 832, 293, 941, 433, 1081, 579, 1227, 549, 1197, 397, 1045, 452, 1100, 584, 1232, 436, 1084, 294, 942, 185, 833)(117, 765, 189, 837, 300, 948, 444, 1092, 595, 1243, 550, 1198, 399, 1047, 464, 1112, 594, 1242, 443, 1091, 299, 947, 188, 836)(120, 768, 194, 842, 307, 955, 446, 1094, 301, 949, 190, 838, 302, 950, 447, 1095, 599, 1247, 453, 1101, 308, 956, 195, 843)(137, 785, 219, 867, 344, 992, 496, 1144, 365, 1013, 233, 881, 364, 1012, 518, 1166, 568, 1216, 483, 1131, 335, 983, 213, 861)(140, 788, 224, 872, 351, 999, 506, 1154, 618, 1266, 537, 1185, 385, 1033, 251, 899, 384, 1032, 505, 1153, 350, 998, 223, 871)(143, 791, 229, 877, 358, 1006, 511, 1159, 557, 1205, 479, 1127, 330, 978, 214, 862, 336, 984, 484, 1132, 359, 1007, 230, 878)(155, 803, 247, 895, 381, 1029, 534, 1182, 556, 1204, 411, 1059, 274, 922, 410, 1058, 555, 1203, 530, 1178, 378, 1026, 244, 892)(158, 806, 252, 900, 386, 1034, 538, 1186, 558, 1206, 413, 1061, 277, 925, 414, 1062, 559, 1207, 541, 1189, 387, 1035, 253, 901)(177, 825, 281, 929, 419, 1067, 563, 1211, 543, 1191, 389, 1037, 256, 904, 391, 1039, 545, 1193, 566, 1214, 420, 1068, 282, 930)(180, 828, 286, 934, 425, 1073, 572, 1220, 548, 1196, 395, 1043, 259, 907, 394, 1042, 547, 1195, 571, 1219, 424, 1072, 285, 933)(183, 831, 291, 939, 431, 1079, 574, 1222, 426, 1074, 287, 935, 427, 1075, 575, 1223, 497, 1145, 578, 1226, 432, 1080, 292, 940)(198, 846, 313, 961, 460, 1108, 610, 1258, 474, 1122, 322, 970, 473, 1121, 623, 1271, 542, 1190, 605, 1253, 456, 1104, 310, 958)(201, 849, 318, 966, 467, 1115, 616, 1264, 527, 1175, 601, 1249, 451, 1099, 311, 959, 457, 1105, 606, 1254, 468, 1116, 319, 967)(207, 855, 327, 975, 429, 1077, 576, 1224, 507, 1155, 353, 1001, 450, 1098, 304, 952, 449, 1097, 561, 1209, 477, 1125, 328, 976)(217, 865, 341, 989, 492, 1140, 564, 1212, 421, 1069, 567, 1215, 519, 1167, 374, 1022, 524, 1172, 573, 1221, 493, 1141, 342, 990)(220, 868, 346, 994, 499, 1147, 590, 1238, 440, 1088, 589, 1237, 521, 1169, 630, 1278, 647, 1295, 628, 1276, 498, 1146, 345, 993)(228, 876, 356, 1004, 509, 1157, 565, 1213, 638, 1286, 609, 1257, 480, 1128, 570, 1218, 423, 1071, 569, 1217, 510, 1158, 357, 1005)(245, 893, 379, 1027, 531, 1179, 620, 1268, 504, 1152, 349, 997, 503, 1151, 586, 1234, 438, 1086, 587, 1235, 523, 1171, 373, 1021)(248, 896, 280, 928, 418, 1066, 562, 1210, 513, 1161, 560, 1208, 415, 1063, 393, 1041, 546, 1194, 611, 1259, 536, 1184, 382, 1030)(295, 943, 437, 1085, 585, 1233, 540, 1188, 598, 1246, 445, 1093, 597, 1245, 529, 1177, 377, 1025, 528, 1176, 581, 1229, 434, 1082)(298, 946, 441, 1089, 591, 1239, 491, 1139, 340, 988, 490, 1138, 577, 1225, 435, 1083, 582, 1230, 487, 1135, 592, 1240, 442, 1090)(314, 962, 462, 1110, 613, 1261, 539, 1187, 390, 1038, 544, 1192, 624, 1272, 515, 1163, 633, 1281, 535, 1183, 612, 1260, 461, 1109)(317, 965, 465, 1113, 614, 1262, 636, 1284, 648, 1296, 644, 1292, 602, 1250, 532, 1180, 380, 1028, 533, 1181, 615, 1263, 466, 1114)(334, 982, 481, 1129, 580, 1228, 642, 1290, 632, 1280, 512, 1160, 360, 1008, 514, 1162, 593, 1241, 645, 1293, 625, 1273, 482, 1130)(337, 985, 486, 1134, 583, 1231, 643, 1291, 634, 1282, 517, 1165, 363, 1011, 516, 1164, 596, 1244, 646, 1294, 626, 1274, 485, 1133)(455, 1103, 603, 1251, 637, 1285, 627, 1275, 494, 1142, 617, 1265, 469, 1117, 619, 1267, 640, 1288, 629, 1277, 522, 1170, 604, 1252)(458, 1106, 608, 1256, 639, 1287, 631, 1279, 502, 1150, 622, 1270, 472, 1120, 621, 1269, 641, 1289, 635, 1283, 525, 1173, 607, 1255)(1297, 1945)(1298, 1946)(1299, 1947)(1300, 1948)(1301, 1949)(1302, 1950)(1303, 1951)(1304, 1952)(1305, 1953)(1306, 1954)(1307, 1955)(1308, 1956)(1309, 1957)(1310, 1958)(1311, 1959)(1312, 1960)(1313, 1961)(1314, 1962)(1315, 1963)(1316, 1964)(1317, 1965)(1318, 1966)(1319, 1967)(1320, 1968)(1321, 1969)(1322, 1970)(1323, 1971)(1324, 1972)(1325, 1973)(1326, 1974)(1327, 1975)(1328, 1976)(1329, 1977)(1330, 1978)(1331, 1979)(1332, 1980)(1333, 1981)(1334, 1982)(1335, 1983)(1336, 1984)(1337, 1985)(1338, 1986)(1339, 1987)(1340, 1988)(1341, 1989)(1342, 1990)(1343, 1991)(1344, 1992)(1345, 1993)(1346, 1994)(1347, 1995)(1348, 1996)(1349, 1997)(1350, 1998)(1351, 1999)(1352, 2000)(1353, 2001)(1354, 2002)(1355, 2003)(1356, 2004)(1357, 2005)(1358, 2006)(1359, 2007)(1360, 2008)(1361, 2009)(1362, 2010)(1363, 2011)(1364, 2012)(1365, 2013)(1366, 2014)(1367, 2015)(1368, 2016)(1369, 2017)(1370, 2018)(1371, 2019)(1372, 2020)(1373, 2021)(1374, 2022)(1375, 2023)(1376, 2024)(1377, 2025)(1378, 2026)(1379, 2027)(1380, 2028)(1381, 2029)(1382, 2030)(1383, 2031)(1384, 2032)(1385, 2033)(1386, 2034)(1387, 2035)(1388, 2036)(1389, 2037)(1390, 2038)(1391, 2039)(1392, 2040)(1393, 2041)(1394, 2042)(1395, 2043)(1396, 2044)(1397, 2045)(1398, 2046)(1399, 2047)(1400, 2048)(1401, 2049)(1402, 2050)(1403, 2051)(1404, 2052)(1405, 2053)(1406, 2054)(1407, 2055)(1408, 2056)(1409, 2057)(1410, 2058)(1411, 2059)(1412, 2060)(1413, 2061)(1414, 2062)(1415, 2063)(1416, 2064)(1417, 2065)(1418, 2066)(1419, 2067)(1420, 2068)(1421, 2069)(1422, 2070)(1423, 2071)(1424, 2072)(1425, 2073)(1426, 2074)(1427, 2075)(1428, 2076)(1429, 2077)(1430, 2078)(1431, 2079)(1432, 2080)(1433, 2081)(1434, 2082)(1435, 2083)(1436, 2084)(1437, 2085)(1438, 2086)(1439, 2087)(1440, 2088)(1441, 2089)(1442, 2090)(1443, 2091)(1444, 2092)(1445, 2093)(1446, 2094)(1447, 2095)(1448, 2096)(1449, 2097)(1450, 2098)(1451, 2099)(1452, 2100)(1453, 2101)(1454, 2102)(1455, 2103)(1456, 2104)(1457, 2105)(1458, 2106)(1459, 2107)(1460, 2108)(1461, 2109)(1462, 2110)(1463, 2111)(1464, 2112)(1465, 2113)(1466, 2114)(1467, 2115)(1468, 2116)(1469, 2117)(1470, 2118)(1471, 2119)(1472, 2120)(1473, 2121)(1474, 2122)(1475, 2123)(1476, 2124)(1477, 2125)(1478, 2126)(1479, 2127)(1480, 2128)(1481, 2129)(1482, 2130)(1483, 2131)(1484, 2132)(1485, 2133)(1486, 2134)(1487, 2135)(1488, 2136)(1489, 2137)(1490, 2138)(1491, 2139)(1492, 2140)(1493, 2141)(1494, 2142)(1495, 2143)(1496, 2144)(1497, 2145)(1498, 2146)(1499, 2147)(1500, 2148)(1501, 2149)(1502, 2150)(1503, 2151)(1504, 2152)(1505, 2153)(1506, 2154)(1507, 2155)(1508, 2156)(1509, 2157)(1510, 2158)(1511, 2159)(1512, 2160)(1513, 2161)(1514, 2162)(1515, 2163)(1516, 2164)(1517, 2165)(1518, 2166)(1519, 2167)(1520, 2168)(1521, 2169)(1522, 2170)(1523, 2171)(1524, 2172)(1525, 2173)(1526, 2174)(1527, 2175)(1528, 2176)(1529, 2177)(1530, 2178)(1531, 2179)(1532, 2180)(1533, 2181)(1534, 2182)(1535, 2183)(1536, 2184)(1537, 2185)(1538, 2186)(1539, 2187)(1540, 2188)(1541, 2189)(1542, 2190)(1543, 2191)(1544, 2192)(1545, 2193)(1546, 2194)(1547, 2195)(1548, 2196)(1549, 2197)(1550, 2198)(1551, 2199)(1552, 2200)(1553, 2201)(1554, 2202)(1555, 2203)(1556, 2204)(1557, 2205)(1558, 2206)(1559, 2207)(1560, 2208)(1561, 2209)(1562, 2210)(1563, 2211)(1564, 2212)(1565, 2213)(1566, 2214)(1567, 2215)(1568, 2216)(1569, 2217)(1570, 2218)(1571, 2219)(1572, 2220)(1573, 2221)(1574, 2222)(1575, 2223)(1576, 2224)(1577, 2225)(1578, 2226)(1579, 2227)(1580, 2228)(1581, 2229)(1582, 2230)(1583, 2231)(1584, 2232)(1585, 2233)(1586, 2234)(1587, 2235)(1588, 2236)(1589, 2237)(1590, 2238)(1591, 2239)(1592, 2240)(1593, 2241)(1594, 2242)(1595, 2243)(1596, 2244)(1597, 2245)(1598, 2246)(1599, 2247)(1600, 2248)(1601, 2249)(1602, 2250)(1603, 2251)(1604, 2252)(1605, 2253)(1606, 2254)(1607, 2255)(1608, 2256)(1609, 2257)(1610, 2258)(1611, 2259)(1612, 2260)(1613, 2261)(1614, 2262)(1615, 2263)(1616, 2264)(1617, 2265)(1618, 2266)(1619, 2267)(1620, 2268)(1621, 2269)(1622, 2270)(1623, 2271)(1624, 2272)(1625, 2273)(1626, 2274)(1627, 2275)(1628, 2276)(1629, 2277)(1630, 2278)(1631, 2279)(1632, 2280)(1633, 2281)(1634, 2282)(1635, 2283)(1636, 2284)(1637, 2285)(1638, 2286)(1639, 2287)(1640, 2288)(1641, 2289)(1642, 2290)(1643, 2291)(1644, 2292)(1645, 2293)(1646, 2294)(1647, 2295)(1648, 2296)(1649, 2297)(1650, 2298)(1651, 2299)(1652, 2300)(1653, 2301)(1654, 2302)(1655, 2303)(1656, 2304)(1657, 2305)(1658, 2306)(1659, 2307)(1660, 2308)(1661, 2309)(1662, 2310)(1663, 2311)(1664, 2312)(1665, 2313)(1666, 2314)(1667, 2315)(1668, 2316)(1669, 2317)(1670, 2318)(1671, 2319)(1672, 2320)(1673, 2321)(1674, 2322)(1675, 2323)(1676, 2324)(1677, 2325)(1678, 2326)(1679, 2327)(1680, 2328)(1681, 2329)(1682, 2330)(1683, 2331)(1684, 2332)(1685, 2333)(1686, 2334)(1687, 2335)(1688, 2336)(1689, 2337)(1690, 2338)(1691, 2339)(1692, 2340)(1693, 2341)(1694, 2342)(1695, 2343)(1696, 2344)(1697, 2345)(1698, 2346)(1699, 2347)(1700, 2348)(1701, 2349)(1702, 2350)(1703, 2351)(1704, 2352)(1705, 2353)(1706, 2354)(1707, 2355)(1708, 2356)(1709, 2357)(1710, 2358)(1711, 2359)(1712, 2360)(1713, 2361)(1714, 2362)(1715, 2363)(1716, 2364)(1717, 2365)(1718, 2366)(1719, 2367)(1720, 2368)(1721, 2369)(1722, 2370)(1723, 2371)(1724, 2372)(1725, 2373)(1726, 2374)(1727, 2375)(1728, 2376)(1729, 2377)(1730, 2378)(1731, 2379)(1732, 2380)(1733, 2381)(1734, 2382)(1735, 2383)(1736, 2384)(1737, 2385)(1738, 2386)(1739, 2387)(1740, 2388)(1741, 2389)(1742, 2390)(1743, 2391)(1744, 2392)(1745, 2393)(1746, 2394)(1747, 2395)(1748, 2396)(1749, 2397)(1750, 2398)(1751, 2399)(1752, 2400)(1753, 2401)(1754, 2402)(1755, 2403)(1756, 2404)(1757, 2405)(1758, 2406)(1759, 2407)(1760, 2408)(1761, 2409)(1762, 2410)(1763, 2411)(1764, 2412)(1765, 2413)(1766, 2414)(1767, 2415)(1768, 2416)(1769, 2417)(1770, 2418)(1771, 2419)(1772, 2420)(1773, 2421)(1774, 2422)(1775, 2423)(1776, 2424)(1777, 2425)(1778, 2426)(1779, 2427)(1780, 2428)(1781, 2429)(1782, 2430)(1783, 2431)(1784, 2432)(1785, 2433)(1786, 2434)(1787, 2435)(1788, 2436)(1789, 2437)(1790, 2438)(1791, 2439)(1792, 2440)(1793, 2441)(1794, 2442)(1795, 2443)(1796, 2444)(1797, 2445)(1798, 2446)(1799, 2447)(1800, 2448)(1801, 2449)(1802, 2450)(1803, 2451)(1804, 2452)(1805, 2453)(1806, 2454)(1807, 2455)(1808, 2456)(1809, 2457)(1810, 2458)(1811, 2459)(1812, 2460)(1813, 2461)(1814, 2462)(1815, 2463)(1816, 2464)(1817, 2465)(1818, 2466)(1819, 2467)(1820, 2468)(1821, 2469)(1822, 2470)(1823, 2471)(1824, 2472)(1825, 2473)(1826, 2474)(1827, 2475)(1828, 2476)(1829, 2477)(1830, 2478)(1831, 2479)(1832, 2480)(1833, 2481)(1834, 2482)(1835, 2483)(1836, 2484)(1837, 2485)(1838, 2486)(1839, 2487)(1840, 2488)(1841, 2489)(1842, 2490)(1843, 2491)(1844, 2492)(1845, 2493)(1846, 2494)(1847, 2495)(1848, 2496)(1849, 2497)(1850, 2498)(1851, 2499)(1852, 2500)(1853, 2501)(1854, 2502)(1855, 2503)(1856, 2504)(1857, 2505)(1858, 2506)(1859, 2507)(1860, 2508)(1861, 2509)(1862, 2510)(1863, 2511)(1864, 2512)(1865, 2513)(1866, 2514)(1867, 2515)(1868, 2516)(1869, 2517)(1870, 2518)(1871, 2519)(1872, 2520)(1873, 2521)(1874, 2522)(1875, 2523)(1876, 2524)(1877, 2525)(1878, 2526)(1879, 2527)(1880, 2528)(1881, 2529)(1882, 2530)(1883, 2531)(1884, 2532)(1885, 2533)(1886, 2534)(1887, 2535)(1888, 2536)(1889, 2537)(1890, 2538)(1891, 2539)(1892, 2540)(1893, 2541)(1894, 2542)(1895, 2543)(1896, 2544)(1897, 2545)(1898, 2546)(1899, 2547)(1900, 2548)(1901, 2549)(1902, 2550)(1903, 2551)(1904, 2552)(1905, 2553)(1906, 2554)(1907, 2555)(1908, 2556)(1909, 2557)(1910, 2558)(1911, 2559)(1912, 2560)(1913, 2561)(1914, 2562)(1915, 2563)(1916, 2564)(1917, 2565)(1918, 2566)(1919, 2567)(1920, 2568)(1921, 2569)(1922, 2570)(1923, 2571)(1924, 2572)(1925, 2573)(1926, 2574)(1927, 2575)(1928, 2576)(1929, 2577)(1930, 2578)(1931, 2579)(1932, 2580)(1933, 2581)(1934, 2582)(1935, 2583)(1936, 2584)(1937, 2585)(1938, 2586)(1939, 2587)(1940, 2588)(1941, 2589)(1942, 2590)(1943, 2591)(1944, 2592)
	L = (1, 1299)(2, 1302)(3, 1297)(4, 1305)(5, 1308)(6, 1298)(7, 1312)(8, 1309)(9, 1300)(10, 1315)(11, 1318)(12, 1301)(13, 1304)(14, 1319)(15, 1324)(16, 1303)(17, 1326)(18, 1329)(19, 1306)(20, 1331)(21, 1334)(22, 1307)(23, 1310)(24, 1335)(25, 1340)(26, 1341)(27, 1344)(28, 1311)(29, 1345)(30, 1313)(31, 1349)(32, 1352)(33, 1314)(34, 1355)(35, 1316)(36, 1357)(37, 1360)(38, 1317)(39, 1320)(40, 1361)(41, 1366)(42, 1367)(43, 1370)(44, 1321)(45, 1322)(46, 1373)(47, 1376)(48, 1323)(49, 1325)(50, 1377)(51, 1381)(52, 1384)(53, 1327)(54, 1386)(55, 1389)(56, 1328)(57, 1390)(58, 1394)(59, 1330)(60, 1397)(61, 1332)(62, 1399)(63, 1400)(64, 1333)(65, 1336)(66, 1401)(67, 1406)(68, 1407)(69, 1410)(70, 1337)(71, 1338)(72, 1413)(73, 1416)(74, 1339)(75, 1417)(76, 1421)(77, 1342)(78, 1423)(79, 1426)(80, 1343)(81, 1346)(82, 1427)(83, 1432)(84, 1433)(85, 1347)(86, 1436)(87, 1439)(88, 1348)(89, 1442)(90, 1350)(91, 1444)(92, 1446)(93, 1351)(94, 1353)(95, 1447)(96, 1451)(97, 1454)(98, 1354)(99, 1455)(100, 1459)(101, 1356)(102, 1462)(103, 1358)(104, 1359)(105, 1362)(106, 1464)(107, 1469)(108, 1470)(109, 1473)(110, 1363)(111, 1364)(112, 1476)(113, 1479)(114, 1365)(115, 1480)(116, 1484)(117, 1368)(118, 1486)(119, 1489)(120, 1369)(121, 1371)(122, 1490)(123, 1494)(124, 1497)(125, 1372)(126, 1500)(127, 1374)(128, 1502)(129, 1503)(130, 1375)(131, 1378)(132, 1504)(133, 1509)(134, 1510)(135, 1513)(136, 1379)(137, 1380)(138, 1516)(139, 1519)(140, 1382)(141, 1521)(142, 1524)(143, 1383)(144, 1525)(145, 1529)(146, 1385)(147, 1532)(148, 1387)(149, 1534)(150, 1388)(151, 1391)(152, 1535)(153, 1540)(154, 1541)(155, 1392)(156, 1544)(157, 1547)(158, 1393)(159, 1395)(160, 1548)(161, 1552)(162, 1555)(163, 1396)(164, 1556)(165, 1560)(166, 1398)(167, 1465)(168, 1402)(169, 1463)(170, 1566)(171, 1567)(172, 1570)(173, 1403)(174, 1404)(175, 1573)(176, 1576)(177, 1405)(178, 1577)(179, 1581)(180, 1408)(181, 1583)(182, 1586)(183, 1409)(184, 1411)(185, 1587)(186, 1591)(187, 1594)(188, 1412)(189, 1597)(190, 1414)(191, 1599)(192, 1600)(193, 1415)(194, 1418)(195, 1601)(196, 1606)(197, 1607)(198, 1419)(199, 1610)(200, 1613)(201, 1420)(202, 1614)(203, 1618)(204, 1422)(205, 1621)(206, 1424)(207, 1425)(208, 1428)(209, 1623)(210, 1626)(211, 1627)(212, 1630)(213, 1429)(214, 1430)(215, 1633)(216, 1636)(217, 1431)(218, 1637)(219, 1641)(220, 1434)(221, 1643)(222, 1645)(223, 1435)(224, 1569)(225, 1437)(226, 1649)(227, 1651)(228, 1438)(229, 1440)(230, 1652)(231, 1656)(232, 1659)(233, 1441)(234, 1660)(235, 1664)(236, 1443)(237, 1624)(238, 1445)(239, 1448)(240, 1666)(241, 1669)(242, 1670)(243, 1673)(244, 1449)(245, 1450)(246, 1676)(247, 1678)(248, 1452)(249, 1575)(250, 1665)(251, 1453)(252, 1456)(253, 1680)(254, 1685)(255, 1686)(256, 1457)(257, 1588)(258, 1689)(259, 1458)(260, 1460)(261, 1690)(262, 1693)(263, 1695)(264, 1461)(265, 1696)(266, 1650)(267, 1699)(268, 1700)(269, 1702)(270, 1466)(271, 1467)(272, 1704)(273, 1520)(274, 1468)(275, 1706)(276, 1709)(277, 1471)(278, 1711)(279, 1545)(280, 1472)(281, 1474)(282, 1714)(283, 1717)(284, 1719)(285, 1475)(286, 1722)(287, 1477)(288, 1724)(289, 1725)(290, 1478)(291, 1481)(292, 1553)(293, 1730)(294, 1731)(295, 1482)(296, 1734)(297, 1736)(298, 1483)(299, 1737)(300, 1741)(301, 1485)(302, 1744)(303, 1487)(304, 1488)(305, 1491)(306, 1745)(307, 1747)(308, 1748)(309, 1751)(310, 1492)(311, 1493)(312, 1754)(313, 1757)(314, 1495)(315, 1759)(316, 1760)(317, 1496)(318, 1498)(319, 1761)(320, 1765)(321, 1768)(322, 1499)(323, 1769)(324, 1772)(325, 1501)(326, 1746)(327, 1505)(328, 1533)(329, 1774)(330, 1506)(331, 1507)(332, 1776)(333, 1758)(334, 1508)(335, 1777)(336, 1781)(337, 1511)(338, 1783)(339, 1785)(340, 1512)(341, 1514)(342, 1786)(343, 1790)(344, 1793)(345, 1515)(346, 1796)(347, 1517)(348, 1798)(349, 1518)(350, 1799)(351, 1707)(352, 1803)(353, 1522)(354, 1562)(355, 1523)(356, 1526)(357, 1766)(358, 1808)(359, 1809)(360, 1527)(361, 1787)(362, 1811)(363, 1528)(364, 1530)(365, 1812)(366, 1815)(367, 1817)(368, 1531)(369, 1546)(370, 1536)(371, 1784)(372, 1818)(373, 1537)(374, 1538)(375, 1821)(376, 1823)(377, 1539)(378, 1824)(379, 1828)(380, 1542)(381, 1831)(382, 1543)(383, 1773)(384, 1549)(385, 1705)(386, 1835)(387, 1836)(388, 1838)(389, 1550)(390, 1551)(391, 1728)(392, 1712)(393, 1554)(394, 1557)(395, 1842)(396, 1845)(397, 1558)(398, 1723)(399, 1559)(400, 1561)(401, 1804)(402, 1847)(403, 1563)(404, 1564)(405, 1848)(406, 1565)(407, 1849)(408, 1568)(409, 1681)(410, 1571)(411, 1647)(412, 1853)(413, 1572)(414, 1856)(415, 1574)(416, 1688)(417, 1857)(418, 1578)(419, 1860)(420, 1861)(421, 1579)(422, 1864)(423, 1580)(424, 1865)(425, 1869)(426, 1582)(427, 1694)(428, 1584)(429, 1585)(430, 1872)(431, 1873)(432, 1687)(433, 1876)(434, 1589)(435, 1590)(436, 1879)(437, 1882)(438, 1592)(439, 1884)(440, 1593)(441, 1595)(442, 1885)(443, 1889)(444, 1892)(445, 1596)(446, 1893)(447, 1896)(448, 1598)(449, 1602)(450, 1622)(451, 1603)(452, 1604)(453, 1898)(454, 1883)(455, 1605)(456, 1899)(457, 1903)(458, 1608)(459, 1905)(460, 1907)(461, 1609)(462, 1629)(463, 1611)(464, 1612)(465, 1615)(466, 1890)(467, 1913)(468, 1914)(469, 1616)(470, 1653)(471, 1916)(472, 1617)(473, 1619)(474, 1917)(475, 1920)(476, 1620)(477, 1679)(478, 1625)(479, 1919)(480, 1628)(481, 1631)(482, 1909)(483, 1875)(484, 1855)(485, 1632)(486, 1878)(487, 1634)(488, 1667)(489, 1635)(490, 1638)(491, 1657)(492, 1923)(493, 1870)(494, 1639)(495, 1912)(496, 1891)(497, 1640)(498, 1874)(499, 1925)(500, 1642)(501, 1926)(502, 1644)(503, 1646)(504, 1918)(505, 1881)(506, 1910)(507, 1648)(508, 1697)(509, 1858)(510, 1915)(511, 1851)(512, 1654)(513, 1655)(514, 1887)(515, 1658)(516, 1661)(517, 1929)(518, 1863)(519, 1662)(520, 1888)(521, 1663)(522, 1668)(523, 1900)(524, 1931)(525, 1671)(526, 1902)(527, 1672)(528, 1674)(529, 1897)(530, 1928)(531, 1895)(532, 1675)(533, 1854)(534, 1930)(535, 1677)(536, 1908)(537, 1850)(538, 1921)(539, 1682)(540, 1683)(541, 1922)(542, 1684)(543, 1901)(544, 1866)(545, 1924)(546, 1691)(547, 1886)(548, 1906)(549, 1692)(550, 1871)(551, 1698)(552, 1701)(553, 1703)(554, 1833)(555, 1807)(556, 1932)(557, 1708)(558, 1829)(559, 1780)(560, 1710)(561, 1713)(562, 1805)(563, 1933)(564, 1715)(565, 1716)(566, 1935)(567, 1814)(568, 1718)(569, 1720)(570, 1840)(571, 1936)(572, 1937)(573, 1721)(574, 1789)(575, 1846)(576, 1726)(577, 1727)(578, 1794)(579, 1779)(580, 1729)(581, 1938)(582, 1782)(583, 1732)(584, 1940)(585, 1801)(586, 1733)(587, 1750)(588, 1735)(589, 1738)(590, 1843)(591, 1810)(592, 1816)(593, 1739)(594, 1762)(595, 1792)(596, 1740)(597, 1742)(598, 1942)(599, 1827)(600, 1743)(601, 1825)(602, 1749)(603, 1752)(604, 1819)(605, 1839)(606, 1822)(607, 1753)(608, 1934)(609, 1755)(610, 1844)(611, 1756)(612, 1832)(613, 1778)(614, 1802)(615, 1941)(616, 1791)(617, 1763)(618, 1764)(619, 1806)(620, 1767)(621, 1770)(622, 1800)(623, 1775)(624, 1771)(625, 1834)(626, 1837)(627, 1788)(628, 1841)(629, 1795)(630, 1797)(631, 1943)(632, 1826)(633, 1813)(634, 1830)(635, 1820)(636, 1852)(637, 1859)(638, 1904)(639, 1862)(640, 1867)(641, 1868)(642, 1877)(643, 1944)(644, 1880)(645, 1911)(646, 1894)(647, 1927)(648, 1939)(649, 1945)(650, 1946)(651, 1947)(652, 1948)(653, 1949)(654, 1950)(655, 1951)(656, 1952)(657, 1953)(658, 1954)(659, 1955)(660, 1956)(661, 1957)(662, 1958)(663, 1959)(664, 1960)(665, 1961)(666, 1962)(667, 1963)(668, 1964)(669, 1965)(670, 1966)(671, 1967)(672, 1968)(673, 1969)(674, 1970)(675, 1971)(676, 1972)(677, 1973)(678, 1974)(679, 1975)(680, 1976)(681, 1977)(682, 1978)(683, 1979)(684, 1980)(685, 1981)(686, 1982)(687, 1983)(688, 1984)(689, 1985)(690, 1986)(691, 1987)(692, 1988)(693, 1989)(694, 1990)(695, 1991)(696, 1992)(697, 1993)(698, 1994)(699, 1995)(700, 1996)(701, 1997)(702, 1998)(703, 1999)(704, 2000)(705, 2001)(706, 2002)(707, 2003)(708, 2004)(709, 2005)(710, 2006)(711, 2007)(712, 2008)(713, 2009)(714, 2010)(715, 2011)(716, 2012)(717, 2013)(718, 2014)(719, 2015)(720, 2016)(721, 2017)(722, 2018)(723, 2019)(724, 2020)(725, 2021)(726, 2022)(727, 2023)(728, 2024)(729, 2025)(730, 2026)(731, 2027)(732, 2028)(733, 2029)(734, 2030)(735, 2031)(736, 2032)(737, 2033)(738, 2034)(739, 2035)(740, 2036)(741, 2037)(742, 2038)(743, 2039)(744, 2040)(745, 2041)(746, 2042)(747, 2043)(748, 2044)(749, 2045)(750, 2046)(751, 2047)(752, 2048)(753, 2049)(754, 2050)(755, 2051)(756, 2052)(757, 2053)(758, 2054)(759, 2055)(760, 2056)(761, 2057)(762, 2058)(763, 2059)(764, 2060)(765, 2061)(766, 2062)(767, 2063)(768, 2064)(769, 2065)(770, 2066)(771, 2067)(772, 2068)(773, 2069)(774, 2070)(775, 2071)(776, 2072)(777, 2073)(778, 2074)(779, 2075)(780, 2076)(781, 2077)(782, 2078)(783, 2079)(784, 2080)(785, 2081)(786, 2082)(787, 2083)(788, 2084)(789, 2085)(790, 2086)(791, 2087)(792, 2088)(793, 2089)(794, 2090)(795, 2091)(796, 2092)(797, 2093)(798, 2094)(799, 2095)(800, 2096)(801, 2097)(802, 2098)(803, 2099)(804, 2100)(805, 2101)(806, 2102)(807, 2103)(808, 2104)(809, 2105)(810, 2106)(811, 2107)(812, 2108)(813, 2109)(814, 2110)(815, 2111)(816, 2112)(817, 2113)(818, 2114)(819, 2115)(820, 2116)(821, 2117)(822, 2118)(823, 2119)(824, 2120)(825, 2121)(826, 2122)(827, 2123)(828, 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2305)(1010, 2306)(1011, 2307)(1012, 2308)(1013, 2309)(1014, 2310)(1015, 2311)(1016, 2312)(1017, 2313)(1018, 2314)(1019, 2315)(1020, 2316)(1021, 2317)(1022, 2318)(1023, 2319)(1024, 2320)(1025, 2321)(1026, 2322)(1027, 2323)(1028, 2324)(1029, 2325)(1030, 2326)(1031, 2327)(1032, 2328)(1033, 2329)(1034, 2330)(1035, 2331)(1036, 2332)(1037, 2333)(1038, 2334)(1039, 2335)(1040, 2336)(1041, 2337)(1042, 2338)(1043, 2339)(1044, 2340)(1045, 2341)(1046, 2342)(1047, 2343)(1048, 2344)(1049, 2345)(1050, 2346)(1051, 2347)(1052, 2348)(1053, 2349)(1054, 2350)(1055, 2351)(1056, 2352)(1057, 2353)(1058, 2354)(1059, 2355)(1060, 2356)(1061, 2357)(1062, 2358)(1063, 2359)(1064, 2360)(1065, 2361)(1066, 2362)(1067, 2363)(1068, 2364)(1069, 2365)(1070, 2366)(1071, 2367)(1072, 2368)(1073, 2369)(1074, 2370)(1075, 2371)(1076, 2372)(1077, 2373)(1078, 2374)(1079, 2375)(1080, 2376)(1081, 2377)(1082, 2378)(1083, 2379)(1084, 2380)(1085, 2381)(1086, 2382)(1087, 2383)(1088, 2384)(1089, 2385)(1090, 2386)(1091, 2387)(1092, 2388)(1093, 2389)(1094, 2390)(1095, 2391)(1096, 2392)(1097, 2393)(1098, 2394)(1099, 2395)(1100, 2396)(1101, 2397)(1102, 2398)(1103, 2399)(1104, 2400)(1105, 2401)(1106, 2402)(1107, 2403)(1108, 2404)(1109, 2405)(1110, 2406)(1111, 2407)(1112, 2408)(1113, 2409)(1114, 2410)(1115, 2411)(1116, 2412)(1117, 2413)(1118, 2414)(1119, 2415)(1120, 2416)(1121, 2417)(1122, 2418)(1123, 2419)(1124, 2420)(1125, 2421)(1126, 2422)(1127, 2423)(1128, 2424)(1129, 2425)(1130, 2426)(1131, 2427)(1132, 2428)(1133, 2429)(1134, 2430)(1135, 2431)(1136, 2432)(1137, 2433)(1138, 2434)(1139, 2435)(1140, 2436)(1141, 2437)(1142, 2438)(1143, 2439)(1144, 2440)(1145, 2441)(1146, 2442)(1147, 2443)(1148, 2444)(1149, 2445)(1150, 2446)(1151, 2447)(1152, 2448)(1153, 2449)(1154, 2450)(1155, 2451)(1156, 2452)(1157, 2453)(1158, 2454)(1159, 2455)(1160, 2456)(1161, 2457)(1162, 2458)(1163, 2459)(1164, 2460)(1165, 2461)(1166, 2462)(1167, 2463)(1168, 2464)(1169, 2465)(1170, 2466)(1171, 2467)(1172, 2468)(1173, 2469)(1174, 2470)(1175, 2471)(1176, 2472)(1177, 2473)(1178, 2474)(1179, 2475)(1180, 2476)(1181, 2477)(1182, 2478)(1183, 2479)(1184, 2480)(1185, 2481)(1186, 2482)(1187, 2483)(1188, 2484)(1189, 2485)(1190, 2486)(1191, 2487)(1192, 2488)(1193, 2489)(1194, 2490)(1195, 2491)(1196, 2492)(1197, 2493)(1198, 2494)(1199, 2495)(1200, 2496)(1201, 2497)(1202, 2498)(1203, 2499)(1204, 2500)(1205, 2501)(1206, 2502)(1207, 2503)(1208, 2504)(1209, 2505)(1210, 2506)(1211, 2507)(1212, 2508)(1213, 2509)(1214, 2510)(1215, 2511)(1216, 2512)(1217, 2513)(1218, 2514)(1219, 2515)(1220, 2516)(1221, 2517)(1222, 2518)(1223, 2519)(1224, 2520)(1225, 2521)(1226, 2522)(1227, 2523)(1228, 2524)(1229, 2525)(1230, 2526)(1231, 2527)(1232, 2528)(1233, 2529)(1234, 2530)(1235, 2531)(1236, 2532)(1237, 2533)(1238, 2534)(1239, 2535)(1240, 2536)(1241, 2537)(1242, 2538)(1243, 2539)(1244, 2540)(1245, 2541)(1246, 2542)(1247, 2543)(1248, 2544)(1249, 2545)(1250, 2546)(1251, 2547)(1252, 2548)(1253, 2549)(1254, 2550)(1255, 2551)(1256, 2552)(1257, 2553)(1258, 2554)(1259, 2555)(1260, 2556)(1261, 2557)(1262, 2558)(1263, 2559)(1264, 2560)(1265, 2561)(1266, 2562)(1267, 2563)(1268, 2564)(1269, 2565)(1270, 2566)(1271, 2567)(1272, 2568)(1273, 2569)(1274, 2570)(1275, 2571)(1276, 2572)(1277, 2573)(1278, 2574)(1279, 2575)(1280, 2576)(1281, 2577)(1282, 2578)(1283, 2579)(1284, 2580)(1285, 2581)(1286, 2582)(1287, 2583)(1288, 2584)(1289, 2585)(1290, 2586)(1291, 2587)(1292, 2588)(1293, 2589)(1294, 2590)(1295, 2591)(1296, 2592)
	local type(s) :: { ( 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.3339
Graph:: simple bipartite
	v = 702 e = 1296 f = 540
	degree seq :: [ 2^648, 24^54 ]

E28.3343 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 12})
Quotient :: dipole
Aut^+ = $<648, 262>$ (small group id <648, 262>)
Aut   = $<1296, 1786>$ (small group id <1296, 1786>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1)^3, (Y3 * Y2^-1)^3, Y2^12, (Y2^-4 * R * Y1 * Y2^-1)^2, (Y1 * Y2^5 * Y1 * Y2^-2)^2, (Y2 * Y1 * Y2^-2 * Y1 * Y2^4)^2, (Y2^-3 * Y1 * Y2^-2)^3, Y2^-3 * Y1 * Y2^2 * R * Y2^5 * R * Y2^2 * Y1 * Y2^-2, Y2^2 * Y1 * Y2^-2 * Y1 * Y2^6 * Y1 * Y2^2 * Y1 * Y2^4, Y2^2 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-2 * Y1, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-3 * Y1 * Y2^4 * Y1 * Y2^-3 * Y1 * Y2^2 * Y1 * Y2^-1 ]
Map::
	R = (1, 649, 2, 650)(3, 651, 7, 655)(4, 652, 9, 657)(5, 653, 11, 659)(6, 654, 13, 661)(8, 656, 16, 664)(10, 658, 19, 667)(12, 660, 22, 670)(14, 662, 25, 673)(15, 663, 27, 675)(17, 665, 30, 678)(18, 666, 32, 680)(20, 668, 35, 683)(21, 669, 37, 685)(23, 671, 40, 688)(24, 672, 42, 690)(26, 674, 45, 693)(28, 676, 48, 696)(29, 677, 50, 698)(31, 679, 53, 701)(33, 681, 56, 704)(34, 682, 58, 706)(36, 684, 61, 709)(38, 686, 64, 712)(39, 687, 66, 714)(41, 689, 69, 717)(43, 691, 72, 720)(44, 692, 74, 722)(46, 694, 77, 725)(47, 695, 79, 727)(49, 697, 82, 730)(51, 699, 85, 733)(52, 700, 87, 735)(54, 702, 90, 738)(55, 703, 92, 740)(57, 705, 95, 743)(59, 707, 98, 746)(60, 708, 100, 748)(62, 710, 103, 751)(63, 711, 104, 752)(65, 713, 107, 755)(67, 715, 110, 758)(68, 716, 112, 760)(70, 718, 115, 763)(71, 719, 117, 765)(73, 721, 120, 768)(75, 723, 123, 771)(76, 724, 125, 773)(78, 726, 128, 776)(80, 728, 130, 778)(81, 729, 132, 780)(83, 731, 135, 783)(84, 732, 137, 785)(86, 734, 140, 788)(88, 736, 143, 791)(89, 737, 145, 793)(91, 739, 148, 796)(93, 741, 150, 798)(94, 742, 152, 800)(96, 744, 155, 803)(97, 745, 157, 805)(99, 747, 160, 808)(101, 749, 163, 811)(102, 750, 165, 813)(105, 753, 169, 817)(106, 754, 171, 819)(108, 756, 174, 822)(109, 757, 176, 824)(111, 759, 179, 827)(113, 761, 182, 830)(114, 762, 184, 832)(116, 764, 187, 835)(118, 766, 189, 837)(119, 767, 191, 839)(121, 769, 194, 842)(122, 770, 196, 844)(124, 772, 199, 847)(126, 774, 202, 850)(127, 775, 204, 852)(129, 777, 207, 855)(131, 779, 210, 858)(133, 781, 213, 861)(134, 782, 215, 863)(136, 784, 218, 866)(138, 786, 220, 868)(139, 787, 222, 870)(141, 789, 225, 873)(142, 790, 227, 875)(144, 792, 230, 878)(146, 794, 233, 881)(147, 795, 235, 883)(149, 797, 238, 886)(151, 799, 241, 889)(153, 801, 244, 892)(154, 802, 246, 894)(156, 804, 249, 897)(158, 806, 251, 899)(159, 807, 253, 901)(161, 809, 256, 904)(162, 810, 258, 906)(164, 812, 261, 909)(166, 814, 264, 912)(167, 815, 237, 885)(168, 816, 267, 915)(170, 818, 270, 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980)(254, 902, 388, 1036)(255, 903, 389, 1037)(257, 905, 326, 974)(259, 907, 393, 1041)(260, 908, 394, 1042)(262, 910, 396, 1044)(263, 911, 398, 1046)(265, 913, 399, 1047)(266, 914, 317, 965)(268, 916, 403, 1051)(269, 917, 405, 1053)(271, 919, 408, 1056)(272, 920, 410, 1058)(274, 922, 413, 1061)(276, 924, 415, 1063)(277, 925, 417, 1065)(279, 927, 420, 1068)(281, 929, 423, 1071)(283, 931, 426, 1074)(284, 932, 428, 1076)(288, 936, 432, 1080)(289, 937, 433, 1081)(291, 939, 436, 1084)(292, 940, 438, 1086)(294, 942, 440, 1088)(299, 947, 446, 1094)(300, 948, 448, 1096)(302, 950, 424, 1072)(303, 951, 451, 1099)(305, 953, 454, 1102)(307, 955, 455, 1103)(308, 956, 457, 1105)(310, 958, 459, 1107)(312, 960, 407, 1055)(314, 962, 463, 1111)(315, 963, 464, 1112)(319, 967, 468, 1116)(320, 968, 469, 1117)(322, 970, 471, 1119)(323, 971, 473, 1121)(325, 973, 474, 1122)(327, 975, 477, 1125)(329, 977, 480, 1128)(331, 979, 483, 1131)(334, 982, 442, 1090)(336, 984, 488, 1136)(337, 985, 489, 1137)(339, 987, 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1073, 577, 1225)(427, 1075, 580, 1228)(429, 1077, 581, 1229)(431, 1079, 584, 1232)(434, 1082, 587, 1235)(435, 1083, 588, 1236)(439, 1087, 592, 1240)(441, 1089, 594, 1242)(445, 1093, 596, 1244)(447, 1095, 599, 1247)(449, 1097, 601, 1249)(452, 1100, 604, 1252)(453, 1101, 605, 1253)(456, 1104, 609, 1257)(460, 1108, 612, 1260)(461, 1109, 559, 1207)(462, 1110, 614, 1262)(465, 1113, 617, 1265)(467, 1115, 620, 1268)(470, 1118, 622, 1270)(475, 1123, 590, 1238)(478, 1126, 571, 1219)(479, 1127, 561, 1209)(481, 1129, 591, 1239)(482, 1130, 556, 1204)(484, 1132, 589, 1237)(486, 1134, 570, 1218)(487, 1135, 553, 1201)(490, 1138, 569, 1217)(491, 1139, 626, 1274)(493, 1141, 628, 1276)(495, 1143, 564, 1212)(496, 1144, 560, 1208)(497, 1145, 552, 1200)(499, 1147, 573, 1221)(501, 1149, 615, 1263)(502, 1150, 595, 1243)(504, 1152, 613, 1261)(505, 1153, 624, 1272)(508, 1156, 621, 1269)(509, 1157, 619, 1267)(511, 1159, 585, 1233)(512, 1160, 618, 1266)(515, 1163, 558, 1206)(517, 1165, 555, 1203)(519, 1167, 616, 1264)(521, 1169, 576, 1224)(523, 1171, 611, 1259)(524, 1172, 603, 1251)(526, 1174, 600, 1248)(528, 1176, 623, 1271)(529, 1177, 598, 1246)(532, 1180, 610, 1258)(533, 1181, 634, 1282)(534, 1182, 635, 1283)(536, 1184, 606, 1254)(537, 1185, 597, 1245)(539, 1187, 578, 1226)(541, 1189, 575, 1223)(542, 1190, 593, 1241)(544, 1192, 586, 1234)(545, 1193, 583, 1231)(547, 1195, 582, 1230)(549, 1197, 602, 1250)(550, 1198, 579, 1227)(565, 1213, 637, 1285)(567, 1215, 639, 1287)(607, 1255, 645, 1293)(608, 1256, 646, 1294)(625, 1273, 640, 1288)(627, 1275, 641, 1289)(629, 1277, 636, 1284)(630, 1278, 638, 1286)(631, 1279, 643, 1291)(632, 1280, 642, 1290)(633, 1281, 647, 1295)(644, 1292, 648, 1296)(1297, 1945, 1299, 1947, 1304, 1952, 1313, 1961, 1327, 1975, 1350, 1998, 1387, 2035, 1358, 2006, 1332, 1980, 1316, 1964, 1306, 1954, 1300, 1948)(1298, 1946, 1301, 1949, 1308, 1956, 1319, 1967, 1337, 1985, 1366, 2014, 1412, 2060, 1374, 2022, 1342, 1990, 1322, 1970, 1310, 1958, 1302, 1950)(1303, 1951, 1309, 1957, 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2378, 1610, 2258, 1494, 2142)(1426, 2074, 1503, 2151, 1623, 2271, 1774, 2422, 1868, 2516, 1842, 2490, 1689, 2337, 1751, 2399, 1904, 2552, 1780, 2428, 1627, 2275, 1505, 2153)(1436, 2084, 1520, 2168, 1650, 2298, 1804, 2452, 1876, 2524, 1846, 2494, 1695, 2343, 1788, 2436, 1922, 2570, 1800, 2448, 1646, 2294, 1518, 2166)(1444, 2092, 1531, 2179, 1663, 2311, 1792, 2440, 1638, 2286, 1514, 2162, 1640, 2288, 1545, 2193, 1678, 2326, 1817, 2465, 1665, 2313, 1533, 2181)(1446, 2094, 1536, 2184, 1670, 2318, 1824, 2472, 1863, 2511, 1711, 2359, 1653, 2301, 1806, 2454, 1908, 2556, 1819, 2467, 1666, 2314, 1534, 2182)(1456, 2104, 1549, 2197, 1683, 2331, 1837, 2485, 1930, 2578, 1814, 2462, 1661, 2309, 1815, 2463, 1883, 2531, 1840, 2488, 1686, 2334, 1551, 2199)(1465, 2113, 1563, 2211, 1698, 2346, 1848, 2496, 1794, 2442, 1916, 2564, 1764, 2412, 1676, 2324, 1830, 2478, 1854, 2502, 1702, 2350, 1565, 2213)(1475, 2123, 1580, 2228, 1725, 2373, 1878, 2526, 1802, 2450, 1920, 2568, 1770, 2418, 1862, 2510, 1933, 2581, 1874, 2522, 1721, 2369, 1578, 2226)(1483, 2131, 1591, 2239, 1738, 2386, 1866, 2514, 1713, 2361, 1574, 2222, 1715, 2363, 1605, 2253, 1753, 2401, 1891, 2539, 1740, 2388, 1593, 2241)(1485, 2133, 1596, 2244, 1745, 2393, 1898, 2546, 1789, 2437, 1636, 2284, 1728, 2376, 1880, 2528, 1834, 2482, 1893, 2541, 1741, 2389, 1594, 2242)(1495, 2143, 1609, 2257, 1758, 2406, 1911, 2559, 1941, 2589, 1888, 2536, 1736, 2384, 1889, 2537, 1809, 2457, 1914, 2562, 1761, 2409, 1611, 2259)(1506, 2154, 1626, 2274, 1778, 2426, 1853, 2501, 1810, 2458, 1657, 2305, 1812, 2460, 1875, 2523, 1722, 2370, 1873, 2521, 1781, 2429, 1628, 2276)(1509, 2157, 1631, 2279, 1783, 2431, 1850, 2498, 1821, 2469, 1899, 2547, 1747, 2395, 1600, 2248, 1749, 2397, 1902, 2550, 1786, 2434, 1633, 2281)(1516, 2164, 1641, 2289, 1793, 2441, 1925, 2573, 1833, 2481, 1680, 2328, 1547, 2195, 1682, 2330, 1835, 2483, 1926, 2574, 1797, 2445, 1643, 2291)(1526, 2174, 1656, 2304, 1811, 2459, 1929, 2577, 1845, 2493, 1691, 2339, 1557, 2205, 1690, 2338, 1843, 2491, 1928, 2576, 1808, 2456, 1654, 2302)(1537, 2185, 1644, 2292, 1796, 2444, 1910, 2558, 1759, 2407, 1912, 2560, 1816, 2464, 1692, 2340, 1844, 2492, 1897, 2545, 1822, 2470, 1669, 2317)(1540, 2188, 1674, 2322, 1828, 2476, 1860, 2508, 1708, 2356, 1569, 2217, 1706, 2354, 1857, 2505, 1776, 2424, 1895, 2543, 1825, 2473, 1672, 2320)(1566, 2214, 1701, 2349, 1852, 2500, 1779, 2427, 1884, 2532, 1732, 2380, 1886, 2534, 1801, 2449, 1647, 2295, 1799, 2447, 1855, 2503, 1703, 2351)(1576, 2224, 1716, 2364, 1867, 2515, 1936, 2584, 1907, 2555, 1755, 2403, 1607, 2255, 1757, 2405, 1909, 2557, 1937, 2585, 1871, 2519, 1718, 2366)(1586, 2234, 1731, 2379, 1885, 2533, 1940, 2588, 1919, 2567, 1766, 2414, 1617, 2265, 1765, 2413, 1917, 2565, 1939, 2587, 1882, 2530, 1729, 2377)(1597, 2245, 1719, 2367, 1870, 2518, 1836, 2484, 1684, 2332, 1838, 2486, 1890, 2538, 1767, 2415, 1918, 2566, 1823, 2471, 1896, 2544, 1744, 2392)(1624, 2272, 1775, 2423, 1858, 2506, 1839, 2487, 1927, 2575, 1803, 2451, 1900, 2548, 1820, 2468, 1667, 2315, 1818, 2466, 1921, 2569, 1773, 2421)(1634, 2282, 1785, 2433, 1864, 2512, 1935, 2583, 1944, 2592, 1942, 2590, 1905, 2553, 1827, 2475, 1675, 2323, 1829, 2477, 1923, 2571, 1787, 2435)(1699, 2347, 1849, 2497, 1784, 2432, 1913, 2561, 1938, 2586, 1877, 2525, 1826, 2474, 1894, 2542, 1742, 2390, 1892, 2540, 1932, 2580, 1847, 2495)(1709, 2357, 1859, 2507, 1790, 2438, 1924, 2572, 1943, 2591, 1931, 2579, 1831, 2479, 1901, 2549, 1750, 2398, 1903, 2551, 1934, 2582, 1861, 2509)
	L = (1, 1298)(2, 1297)(3, 1303)(4, 1305)(5, 1307)(6, 1309)(7, 1299)(8, 1312)(9, 1300)(10, 1315)(11, 1301)(12, 1318)(13, 1302)(14, 1321)(15, 1323)(16, 1304)(17, 1326)(18, 1328)(19, 1306)(20, 1331)(21, 1333)(22, 1308)(23, 1336)(24, 1338)(25, 1310)(26, 1341)(27, 1311)(28, 1344)(29, 1346)(30, 1313)(31, 1349)(32, 1314)(33, 1352)(34, 1354)(35, 1316)(36, 1357)(37, 1317)(38, 1360)(39, 1362)(40, 1319)(41, 1365)(42, 1320)(43, 1368)(44, 1370)(45, 1322)(46, 1373)(47, 1375)(48, 1324)(49, 1378)(50, 1325)(51, 1381)(52, 1383)(53, 1327)(54, 1386)(55, 1388)(56, 1329)(57, 1391)(58, 1330)(59, 1394)(60, 1396)(61, 1332)(62, 1399)(63, 1400)(64, 1334)(65, 1403)(66, 1335)(67, 1406)(68, 1408)(69, 1337)(70, 1411)(71, 1413)(72, 1339)(73, 1416)(74, 1340)(75, 1419)(76, 1421)(77, 1342)(78, 1424)(79, 1343)(80, 1426)(81, 1428)(82, 1345)(83, 1431)(84, 1433)(85, 1347)(86, 1436)(87, 1348)(88, 1439)(89, 1441)(90, 1350)(91, 1444)(92, 1351)(93, 1446)(94, 1448)(95, 1353)(96, 1451)(97, 1453)(98, 1355)(99, 1456)(100, 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1904)(647, 1929)(648, 1940)(649, 1945)(650, 1946)(651, 1947)(652, 1948)(653, 1949)(654, 1950)(655, 1951)(656, 1952)(657, 1953)(658, 1954)(659, 1955)(660, 1956)(661, 1957)(662, 1958)(663, 1959)(664, 1960)(665, 1961)(666, 1962)(667, 1963)(668, 1964)(669, 1965)(670, 1966)(671, 1967)(672, 1968)(673, 1969)(674, 1970)(675, 1971)(676, 1972)(677, 1973)(678, 1974)(679, 1975)(680, 1976)(681, 1977)(682, 1978)(683, 1979)(684, 1980)(685, 1981)(686, 1982)(687, 1983)(688, 1984)(689, 1985)(690, 1986)(691, 1987)(692, 1988)(693, 1989)(694, 1990)(695, 1991)(696, 1992)(697, 1993)(698, 1994)(699, 1995)(700, 1996)(701, 1997)(702, 1998)(703, 1999)(704, 2000)(705, 2001)(706, 2002)(707, 2003)(708, 2004)(709, 2005)(710, 2006)(711, 2007)(712, 2008)(713, 2009)(714, 2010)(715, 2011)(716, 2012)(717, 2013)(718, 2014)(719, 2015)(720, 2016)(721, 2017)(722, 2018)(723, 2019)(724, 2020)(725, 2021)(726, 2022)(727, 2023)(728, 2024)(729, 2025)(730, 2026)(731, 2027)(732, 2028)(733, 2029)(734, 2030)(735, 2031)(736, 2032)(737, 2033)(738, 2034)(739, 2035)(740, 2036)(741, 2037)(742, 2038)(743, 2039)(744, 2040)(745, 2041)(746, 2042)(747, 2043)(748, 2044)(749, 2045)(750, 2046)(751, 2047)(752, 2048)(753, 2049)(754, 2050)(755, 2051)(756, 2052)(757, 2053)(758, 2054)(759, 2055)(760, 2056)(761, 2057)(762, 2058)(763, 2059)(764, 2060)(765, 2061)(766, 2062)(767, 2063)(768, 2064)(769, 2065)(770, 2066)(771, 2067)(772, 2068)(773, 2069)(774, 2070)(775, 2071)(776, 2072)(777, 2073)(778, 2074)(779, 2075)(780, 2076)(781, 2077)(782, 2078)(783, 2079)(784, 2080)(785, 2081)(786, 2082)(787, 2083)(788, 2084)(789, 2085)(790, 2086)(791, 2087)(792, 2088)(793, 2089)(794, 2090)(795, 2091)(796, 2092)(797, 2093)(798, 2094)(799, 2095)(800, 2096)(801, 2097)(802, 2098)(803, 2099)(804, 2100)(805, 2101)(806, 2102)(807, 2103)(808, 2104)(809, 2105)(810, 2106)(811, 2107)(812, 2108)(813, 2109)(814, 2110)(815, 2111)(816, 2112)(817, 2113)(818, 2114)(819, 2115)(820, 2116)(821, 2117)(822, 2118)(823, 2119)(824, 2120)(825, 2121)(826, 2122)(827, 2123)(828, 2124)(829, 2125)(830, 2126)(831, 2127)(832, 2128)(833, 2129)(834, 2130)(835, 2131)(836, 2132)(837, 2133)(838, 2134)(839, 2135)(840, 2136)(841, 2137)(842, 2138)(843, 2139)(844, 2140)(845, 2141)(846, 2142)(847, 2143)(848, 2144)(849, 2145)(850, 2146)(851, 2147)(852, 2148)(853, 2149)(854, 2150)(855, 2151)(856, 2152)(857, 2153)(858, 2154)(859, 2155)(860, 2156)(861, 2157)(862, 2158)(863, 2159)(864, 2160)(865, 2161)(866, 2162)(867, 2163)(868, 2164)(869, 2165)(870, 2166)(871, 2167)(872, 2168)(873, 2169)(874, 2170)(875, 2171)(876, 2172)(877, 2173)(878, 2174)(879, 2175)(880, 2176)(881, 2177)(882, 2178)(883, 2179)(884, 2180)(885, 2181)(886, 2182)(887, 2183)(888, 2184)(889, 2185)(890, 2186)(891, 2187)(892, 2188)(893, 2189)(894, 2190)(895, 2191)(896, 2192)(897, 2193)(898, 2194)(899, 2195)(900, 2196)(901, 2197)(902, 2198)(903, 2199)(904, 2200)(905, 2201)(906, 2202)(907, 2203)(908, 2204)(909, 2205)(910, 2206)(911, 2207)(912, 2208)(913, 2209)(914, 2210)(915, 2211)(916, 2212)(917, 2213)(918, 2214)(919, 2215)(920, 2216)(921, 2217)(922, 2218)(923, 2219)(924, 2220)(925, 2221)(926, 2222)(927, 2223)(928, 2224)(929, 2225)(930, 2226)(931, 2227)(932, 2228)(933, 2229)(934, 2230)(935, 2231)(936, 2232)(937, 2233)(938, 2234)(939, 2235)(940, 2236)(941, 2237)(942, 2238)(943, 2239)(944, 2240)(945, 2241)(946, 2242)(947, 2243)(948, 2244)(949, 2245)(950, 2246)(951, 2247)(952, 2248)(953, 2249)(954, 2250)(955, 2251)(956, 2252)(957, 2253)(958, 2254)(959, 2255)(960, 2256)(961, 2257)(962, 2258)(963, 2259)(964, 2260)(965, 2261)(966, 2262)(967, 2263)(968, 2264)(969, 2265)(970, 2266)(971, 2267)(972, 2268)(973, 2269)(974, 2270)(975, 2271)(976, 2272)(977, 2273)(978, 2274)(979, 2275)(980, 2276)(981, 2277)(982, 2278)(983, 2279)(984, 2280)(985, 2281)(986, 2282)(987, 2283)(988, 2284)(989, 2285)(990, 2286)(991, 2287)(992, 2288)(993, 2289)(994, 2290)(995, 2291)(996, 2292)(997, 2293)(998, 2294)(999, 2295)(1000, 2296)(1001, 2297)(1002, 2298)(1003, 2299)(1004, 2300)(1005, 2301)(1006, 2302)(1007, 2303)(1008, 2304)(1009, 2305)(1010, 2306)(1011, 2307)(1012, 2308)(1013, 2309)(1014, 2310)(1015, 2311)(1016, 2312)(1017, 2313)(1018, 2314)(1019, 2315)(1020, 2316)(1021, 2317)(1022, 2318)(1023, 2319)(1024, 2320)(1025, 2321)(1026, 2322)(1027, 2323)(1028, 2324)(1029, 2325)(1030, 2326)(1031, 2327)(1032, 2328)(1033, 2329)(1034, 2330)(1035, 2331)(1036, 2332)(1037, 2333)(1038, 2334)(1039, 2335)(1040, 2336)(1041, 2337)(1042, 2338)(1043, 2339)(1044, 2340)(1045, 2341)(1046, 2342)(1047, 2343)(1048, 2344)(1049, 2345)(1050, 2346)(1051, 2347)(1052, 2348)(1053, 2349)(1054, 2350)(1055, 2351)(1056, 2352)(1057, 2353)(1058, 2354)(1059, 2355)(1060, 2356)(1061, 2357)(1062, 2358)(1063, 2359)(1064, 2360)(1065, 2361)(1066, 2362)(1067, 2363)(1068, 2364)(1069, 2365)(1070, 2366)(1071, 2367)(1072, 2368)(1073, 2369)(1074, 2370)(1075, 2371)(1076, 2372)(1077, 2373)(1078, 2374)(1079, 2375)(1080, 2376)(1081, 2377)(1082, 2378)(1083, 2379)(1084, 2380)(1085, 2381)(1086, 2382)(1087, 2383)(1088, 2384)(1089, 2385)(1090, 2386)(1091, 2387)(1092, 2388)(1093, 2389)(1094, 2390)(1095, 2391)(1096, 2392)(1097, 2393)(1098, 2394)(1099, 2395)(1100, 2396)(1101, 2397)(1102, 2398)(1103, 2399)(1104, 2400)(1105, 2401)(1106, 2402)(1107, 2403)(1108, 2404)(1109, 2405)(1110, 2406)(1111, 2407)(1112, 2408)(1113, 2409)(1114, 2410)(1115, 2411)(1116, 2412)(1117, 2413)(1118, 2414)(1119, 2415)(1120, 2416)(1121, 2417)(1122, 2418)(1123, 2419)(1124, 2420)(1125, 2421)(1126, 2422)(1127, 2423)(1128, 2424)(1129, 2425)(1130, 2426)(1131, 2427)(1132, 2428)(1133, 2429)(1134, 2430)(1135, 2431)(1136, 2432)(1137, 2433)(1138, 2434)(1139, 2435)(1140, 2436)(1141, 2437)(1142, 2438)(1143, 2439)(1144, 2440)(1145, 2441)(1146, 2442)(1147, 2443)(1148, 2444)(1149, 2445)(1150, 2446)(1151, 2447)(1152, 2448)(1153, 2449)(1154, 2450)(1155, 2451)(1156, 2452)(1157, 2453)(1158, 2454)(1159, 2455)(1160, 2456)(1161, 2457)(1162, 2458)(1163, 2459)(1164, 2460)(1165, 2461)(1166, 2462)(1167, 2463)(1168, 2464)(1169, 2465)(1170, 2466)(1171, 2467)(1172, 2468)(1173, 2469)(1174, 2470)(1175, 2471)(1176, 2472)(1177, 2473)(1178, 2474)(1179, 2475)(1180, 2476)(1181, 2477)(1182, 2478)(1183, 2479)(1184, 2480)(1185, 2481)(1186, 2482)(1187, 2483)(1188, 2484)(1189, 2485)(1190, 2486)(1191, 2487)(1192, 2488)(1193, 2489)(1194, 2490)(1195, 2491)(1196, 2492)(1197, 2493)(1198, 2494)(1199, 2495)(1200, 2496)(1201, 2497)(1202, 2498)(1203, 2499)(1204, 2500)(1205, 2501)(1206, 2502)(1207, 2503)(1208, 2504)(1209, 2505)(1210, 2506)(1211, 2507)(1212, 2508)(1213, 2509)(1214, 2510)(1215, 2511)(1216, 2512)(1217, 2513)(1218, 2514)(1219, 2515)(1220, 2516)(1221, 2517)(1222, 2518)(1223, 2519)(1224, 2520)(1225, 2521)(1226, 2522)(1227, 2523)(1228, 2524)(1229, 2525)(1230, 2526)(1231, 2527)(1232, 2528)(1233, 2529)(1234, 2530)(1235, 2531)(1236, 2532)(1237, 2533)(1238, 2534)(1239, 2535)(1240, 2536)(1241, 2537)(1242, 2538)(1243, 2539)(1244, 2540)(1245, 2541)(1246, 2542)(1247, 2543)(1248, 2544)(1249, 2545)(1250, 2546)(1251, 2547)(1252, 2548)(1253, 2549)(1254, 2550)(1255, 2551)(1256, 2552)(1257, 2553)(1258, 2554)(1259, 2555)(1260, 2556)(1261, 2557)(1262, 2558)(1263, 2559)(1264, 2560)(1265, 2561)(1266, 2562)(1267, 2563)(1268, 2564)(1269, 2565)(1270, 2566)(1271, 2567)(1272, 2568)(1273, 2569)(1274, 2570)(1275, 2571)(1276, 2572)(1277, 2573)(1278, 2574)(1279, 2575)(1280, 2576)(1281, 2577)(1282, 2578)(1283, 2579)(1284, 2580)(1285, 2581)(1286, 2582)(1287, 2583)(1288, 2584)(1289, 2585)(1290, 2586)(1291, 2587)(1292, 2588)(1293, 2589)(1294, 2590)(1295, 2591)(1296, 2592)
	local type(s) :: { ( 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.3344
Graph:: bipartite
	v = 378 e = 1296 f = 864
	degree seq :: [ 4^324, 24^54 ]

E28.3344 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 12})
Quotient :: dipole
Aut^+ = $<648, 262>$ (small group id <648, 262>)
Aut   = $<1296, 1786>$ (small group id <1296, 1786>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^3, (R * Y1)^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^12, (Y3^-1 * Y1 * Y3^-3)^3, Y3 * Y1^-1 * Y3^2 * Y1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^2 * Y1^-1 * Y3^2 * Y1, Y3^5 * Y1^-1 * Y3^-2 * Y1^-1 * Y3^-2 * Y1^-1 * Y3^5, Y3 * Y1^-1 * Y3^-5 * Y1 * Y3^2 * Y1^-1 * Y3^6 * Y1^-1, Y3^4 * Y1^-1 * Y3^-2 * Y1 * Y3^5 * Y1^-1 * Y3^-3 * Y1^-1, Y3 * Y1^-1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^2 * Y1^-1 * Y3^2 * Y1^-1 * Y3^3 * Y1^-1, Y3^2 * Y1^-1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-3 * Y1 * Y3^-2 * Y1^-1 * Y3 * Y1^-1, (Y3 * Y2^-1)^12 ]
Map:: polytopal
	R = (1, 649, 2, 650, 4, 652)(3, 651, 8, 656, 10, 658)(5, 653, 12, 660, 6, 654)(7, 655, 15, 663, 11, 659)(9, 657, 18, 666, 20, 668)(13, 661, 25, 673, 23, 671)(14, 662, 24, 672, 28, 676)(16, 664, 31, 679, 29, 677)(17, 665, 33, 681, 21, 669)(19, 667, 36, 684, 38, 686)(22, 670, 30, 678, 42, 690)(26, 674, 47, 695, 45, 693)(27, 675, 49, 697, 51, 699)(32, 680, 57, 705, 55, 703)(34, 682, 61, 709, 59, 707)(35, 683, 63, 711, 39, 687)(37, 685, 66, 714, 68, 716)(40, 688, 60, 708, 72, 720)(41, 689, 73, 721, 75, 723)(43, 691, 46, 694, 78, 726)(44, 692, 79, 727, 52, 700)(48, 696, 85, 733, 83, 731)(50, 698, 88, 736, 90, 738)(53, 701, 56, 704, 94, 742)(54, 702, 95, 743, 76, 724)(58, 706, 101, 749, 99, 747)(62, 710, 107, 755, 105, 753)(64, 712, 111, 759, 109, 757)(65, 713, 113, 761, 69, 717)(67, 715, 116, 764, 118, 766)(70, 718, 110, 758, 122, 770)(71, 719, 123, 771, 125, 773)(74, 722, 128, 776, 130, 778)(77, 725, 133, 781, 135, 783)(80, 728, 139, 787, 137, 785)(81, 729, 84, 732, 142, 790)(82, 730, 143, 791, 136, 784)(86, 734, 149, 797, 147, 795)(87, 735, 150, 798, 91, 739)(89, 737, 153, 801, 155, 803)(92, 740, 138, 786, 159, 807)(93, 741, 160, 808, 162, 810)(96, 744, 166, 814, 164, 812)(97, 745, 100, 748, 169, 817)(98, 746, 170, 818, 163, 811)(102, 750, 176, 824, 174, 822)(103, 751, 106, 754, 178, 826)(104, 752, 179, 827, 126, 774)(108, 756, 185, 833, 183, 831)(112, 760, 191, 839, 189, 837)(114, 762, 195, 843, 193, 841)(115, 763, 197, 845, 119, 767)(117, 765, 200, 848, 201, 849)(120, 768, 194, 842, 205, 853)(121, 769, 206, 854, 208, 856)(124, 772, 211, 859, 213, 861)(127, 775, 216, 864, 131, 779)(129, 777, 219, 867, 220, 868)(132, 780, 165, 813, 224, 872)(134, 782, 226, 874, 228, 876)(140, 788, 235, 883, 233, 881)(141, 789, 237, 885, 239, 887)(144, 792, 243, 891, 241, 889)(145, 793, 148, 796, 246, 894)(146, 794, 247, 895, 240, 888)(151, 799, 254, 902, 252, 900)(152, 800, 256, 904, 156, 804)(154, 802, 259, 907, 260, 908)(157, 805, 253, 901, 264, 912)(158, 806, 265, 913, 267, 915)(161, 809, 270, 918, 272, 920)(167, 815, 279, 927, 277, 925)(168, 816, 281, 929, 283, 931)(171, 819, 287, 935, 285, 933)(172, 820, 175, 823, 290, 938)(173, 821, 291, 939, 284, 932)(177, 825, 295, 943, 297, 945)(180, 828, 301, 949, 299, 947)(181, 829, 184, 832, 304, 952)(182, 830, 305, 953, 298, 946)(186, 834, 310, 958, 308, 956)(187, 835, 190, 838, 312, 960)(188, 836, 313, 961, 209, 857)(192, 840, 319, 967, 317, 965)(196, 844, 325, 973, 323, 971)(198, 846, 329, 977, 327, 975)(199, 847, 331, 979, 202, 850)(203, 851, 328, 976, 336, 984)(204, 852, 337, 985, 338, 986)(207, 855, 341, 989, 244, 892)(210, 858, 345, 993, 214, 862)(212, 860, 348, 996, 349, 997)(215, 863, 300, 948, 352, 1000)(217, 865, 355, 1003, 353, 1001)(218, 866, 357, 1005, 221, 869)(222, 870, 354, 1002, 361, 1009)(223, 871, 362, 1010, 364, 1012)(225, 873, 366, 1014, 229, 877)(227, 875, 369, 1017, 371, 1019)(230, 878, 242, 890, 374, 1022)(231, 879, 234, 882, 376, 1024)(232, 880, 377, 1025, 268, 916)(236, 884, 381, 1029, 380, 1028)(238, 886, 383, 1031, 385, 1033)(245, 893, 392, 1040, 394, 1042)(248, 896, 347, 995, 396, 1044)(249, 897, 251, 899, 399, 1047)(250, 898, 400, 1048, 395, 1043)(255, 903, 406, 1054, 404, 1052)(257, 905, 410, 1058, 408, 1056)(258, 906, 412, 1060, 261, 909)(262, 910, 409, 1057, 416, 1064)(263, 911, 417, 1065, 418, 1066)(266, 914, 421, 1069, 288, 936)(269, 917, 425, 1073, 273, 921)(271, 919, 428, 1076, 430, 1078)(274, 922, 286, 934, 433, 1081)(275, 923, 278, 926, 435, 1083)(276, 924, 436, 1084, 365, 1013)(280, 928, 440, 1088, 439, 1087)(282, 930, 442, 1090, 444, 1092)(289, 937, 451, 1099, 453, 1101)(292, 940, 368, 1016, 454, 1102)(293, 941, 294, 942, 457, 1105)(296, 944, 460, 1108, 462, 1110)(302, 950, 363, 1011, 467, 1115)(303, 951, 470, 1118, 472, 1120)(306, 954, 427, 1075, 473, 1121)(307, 955, 309, 957, 476, 1124)(311, 959, 479, 1127, 481, 1129)(314, 962, 446, 1094, 455, 1103)(315, 963, 318, 966, 484, 1132)(316, 964, 447, 1095, 449, 1097)(320, 968, 415, 1063, 414, 1062)(321, 969, 324, 972, 489, 1137)(322, 970, 432, 1080, 339, 987)(326, 974, 495, 1143, 493, 1141)(330, 978, 501, 1149, 499, 1147)(332, 980, 503, 1151, 407, 1055)(333, 981, 429, 1077, 334, 982)(335, 983, 422, 1070, 450, 1098)(340, 988, 431, 1079, 343, 991)(342, 990, 391, 1039, 458, 1106)(344, 992, 424, 1072, 509, 1157)(346, 994, 511, 1159, 510, 1158)(350, 998, 423, 1071, 420, 1068)(351, 999, 419, 1067, 403, 1051)(356, 1004, 521, 1169, 519, 1167)(358, 1006, 524, 1172, 523, 1171)(359, 1007, 496, 1144, 360, 1008)(367, 1015, 531, 1179, 530, 1178)(370, 1018, 477, 1125, 478, 1126)(372, 1020, 529, 1177, 527, 1175)(373, 1021, 526, 1174, 518, 1166)(375, 1023, 536, 1184, 538, 1186)(378, 1026, 464, 1112, 474, 1122)(379, 1027, 465, 1113, 468, 1116)(382, 1030, 541, 1189, 386, 1034)(384, 1032, 543, 1191, 456, 1104)(387, 1035, 397, 1045, 437, 1085)(388, 1036, 390, 1038, 438, 1086)(389, 1037, 448, 1096, 466, 1114)(393, 1041, 546, 1194, 548, 1196)(398, 1046, 461, 1109, 552, 1200)(401, 1049, 528, 1176, 469, 1117)(402, 1050, 405, 1053, 554, 1202)(411, 1059, 562, 1210, 560, 1208)(413, 1061, 564, 1212, 522, 1170)(426, 1074, 571, 1219, 570, 1218)(434, 1082, 575, 1223, 577, 1225)(441, 1089, 580, 1228, 445, 1093)(443, 1091, 582, 1230, 475, 1123)(452, 1100, 585, 1233, 587, 1235)(459, 1107, 590, 1238, 463, 1111)(471, 1119, 596, 1244, 598, 1246)(480, 1128, 601, 1249, 549, 1197)(482, 1130, 516, 1164, 555, 1203)(483, 1131, 602, 1250, 583, 1231)(485, 1133, 592, 1240, 584, 1232)(486, 1134, 487, 1135, 573, 1221)(488, 1136, 604, 1252, 605, 1253)(490, 1138, 566, 1214, 559, 1207)(491, 1139, 494, 1142, 569, 1217)(492, 1140, 600, 1248, 572, 1220)(497, 1145, 500, 1148, 609, 1257)(498, 1146, 594, 1242, 505, 1153)(502, 1150, 547, 1195, 611, 1259)(504, 1152, 613, 1261, 612, 1260)(506, 1154, 593, 1241, 507, 1155)(508, 1156, 615, 1263, 574, 1222)(512, 1160, 618, 1266, 617, 1265)(513, 1161, 557, 1205, 550, 1198)(514, 1162, 540, 1188, 515, 1163)(517, 1165, 520, 1168, 619, 1267)(525, 1173, 622, 1270, 621, 1269)(532, 1180, 620, 1268, 589, 1237)(533, 1181, 579, 1227, 534, 1182)(535, 1183, 623, 1271, 556, 1204)(537, 1185, 624, 1272, 588, 1236)(539, 1187, 542, 1190, 595, 1243)(544, 1192, 568, 1216, 567, 1215)(545, 1193, 578, 1226, 581, 1229)(551, 1199, 626, 1274, 608, 1256)(553, 1201, 627, 1275, 628, 1276)(558, 1206, 561, 1209, 631, 1279)(563, 1211, 586, 1234, 633, 1281)(565, 1213, 635, 1283, 634, 1282)(576, 1224, 638, 1286, 599, 1247)(591, 1239, 641, 1289, 640, 1288)(597, 1245, 645, 1293, 603, 1251)(606, 1254, 637, 1285, 646, 1294)(607, 1255, 629, 1277, 647, 1295)(610, 1258, 636, 1284, 642, 1290)(614, 1262, 639, 1287, 643, 1291)(616, 1264, 630, 1278, 648, 1296)(625, 1273, 632, 1280, 644, 1292)(1297, 1945)(1298, 1946)(1299, 1947)(1300, 1948)(1301, 1949)(1302, 1950)(1303, 1951)(1304, 1952)(1305, 1953)(1306, 1954)(1307, 1955)(1308, 1956)(1309, 1957)(1310, 1958)(1311, 1959)(1312, 1960)(1313, 1961)(1314, 1962)(1315, 1963)(1316, 1964)(1317, 1965)(1318, 1966)(1319, 1967)(1320, 1968)(1321, 1969)(1322, 1970)(1323, 1971)(1324, 1972)(1325, 1973)(1326, 1974)(1327, 1975)(1328, 1976)(1329, 1977)(1330, 1978)(1331, 1979)(1332, 1980)(1333, 1981)(1334, 1982)(1335, 1983)(1336, 1984)(1337, 1985)(1338, 1986)(1339, 1987)(1340, 1988)(1341, 1989)(1342, 1990)(1343, 1991)(1344, 1992)(1345, 1993)(1346, 1994)(1347, 1995)(1348, 1996)(1349, 1997)(1350, 1998)(1351, 1999)(1352, 2000)(1353, 2001)(1354, 2002)(1355, 2003)(1356, 2004)(1357, 2005)(1358, 2006)(1359, 2007)(1360, 2008)(1361, 2009)(1362, 2010)(1363, 2011)(1364, 2012)(1365, 2013)(1366, 2014)(1367, 2015)(1368, 2016)(1369, 2017)(1370, 2018)(1371, 2019)(1372, 2020)(1373, 2021)(1374, 2022)(1375, 2023)(1376, 2024)(1377, 2025)(1378, 2026)(1379, 2027)(1380, 2028)(1381, 2029)(1382, 2030)(1383, 2031)(1384, 2032)(1385, 2033)(1386, 2034)(1387, 2035)(1388, 2036)(1389, 2037)(1390, 2038)(1391, 2039)(1392, 2040)(1393, 2041)(1394, 2042)(1395, 2043)(1396, 2044)(1397, 2045)(1398, 2046)(1399, 2047)(1400, 2048)(1401, 2049)(1402, 2050)(1403, 2051)(1404, 2052)(1405, 2053)(1406, 2054)(1407, 2055)(1408, 2056)(1409, 2057)(1410, 2058)(1411, 2059)(1412, 2060)(1413, 2061)(1414, 2062)(1415, 2063)(1416, 2064)(1417, 2065)(1418, 2066)(1419, 2067)(1420, 2068)(1421, 2069)(1422, 2070)(1423, 2071)(1424, 2072)(1425, 2073)(1426, 2074)(1427, 2075)(1428, 2076)(1429, 2077)(1430, 2078)(1431, 2079)(1432, 2080)(1433, 2081)(1434, 2082)(1435, 2083)(1436, 2084)(1437, 2085)(1438, 2086)(1439, 2087)(1440, 2088)(1441, 2089)(1442, 2090)(1443, 2091)(1444, 2092)(1445, 2093)(1446, 2094)(1447, 2095)(1448, 2096)(1449, 2097)(1450, 2098)(1451, 2099)(1452, 2100)(1453, 2101)(1454, 2102)(1455, 2103)(1456, 2104)(1457, 2105)(1458, 2106)(1459, 2107)(1460, 2108)(1461, 2109)(1462, 2110)(1463, 2111)(1464, 2112)(1465, 2113)(1466, 2114)(1467, 2115)(1468, 2116)(1469, 2117)(1470, 2118)(1471, 2119)(1472, 2120)(1473, 2121)(1474, 2122)(1475, 2123)(1476, 2124)(1477, 2125)(1478, 2126)(1479, 2127)(1480, 2128)(1481, 2129)(1482, 2130)(1483, 2131)(1484, 2132)(1485, 2133)(1486, 2134)(1487, 2135)(1488, 2136)(1489, 2137)(1490, 2138)(1491, 2139)(1492, 2140)(1493, 2141)(1494, 2142)(1495, 2143)(1496, 2144)(1497, 2145)(1498, 2146)(1499, 2147)(1500, 2148)(1501, 2149)(1502, 2150)(1503, 2151)(1504, 2152)(1505, 2153)(1506, 2154)(1507, 2155)(1508, 2156)(1509, 2157)(1510, 2158)(1511, 2159)(1512, 2160)(1513, 2161)(1514, 2162)(1515, 2163)(1516, 2164)(1517, 2165)(1518, 2166)(1519, 2167)(1520, 2168)(1521, 2169)(1522, 2170)(1523, 2171)(1524, 2172)(1525, 2173)(1526, 2174)(1527, 2175)(1528, 2176)(1529, 2177)(1530, 2178)(1531, 2179)(1532, 2180)(1533, 2181)(1534, 2182)(1535, 2183)(1536, 2184)(1537, 2185)(1538, 2186)(1539, 2187)(1540, 2188)(1541, 2189)(1542, 2190)(1543, 2191)(1544, 2192)(1545, 2193)(1546, 2194)(1547, 2195)(1548, 2196)(1549, 2197)(1550, 2198)(1551, 2199)(1552, 2200)(1553, 2201)(1554, 2202)(1555, 2203)(1556, 2204)(1557, 2205)(1558, 2206)(1559, 2207)(1560, 2208)(1561, 2209)(1562, 2210)(1563, 2211)(1564, 2212)(1565, 2213)(1566, 2214)(1567, 2215)(1568, 2216)(1569, 2217)(1570, 2218)(1571, 2219)(1572, 2220)(1573, 2221)(1574, 2222)(1575, 2223)(1576, 2224)(1577, 2225)(1578, 2226)(1579, 2227)(1580, 2228)(1581, 2229)(1582, 2230)(1583, 2231)(1584, 2232)(1585, 2233)(1586, 2234)(1587, 2235)(1588, 2236)(1589, 2237)(1590, 2238)(1591, 2239)(1592, 2240)(1593, 2241)(1594, 2242)(1595, 2243)(1596, 2244)(1597, 2245)(1598, 2246)(1599, 2247)(1600, 2248)(1601, 2249)(1602, 2250)(1603, 2251)(1604, 2252)(1605, 2253)(1606, 2254)(1607, 2255)(1608, 2256)(1609, 2257)(1610, 2258)(1611, 2259)(1612, 2260)(1613, 2261)(1614, 2262)(1615, 2263)(1616, 2264)(1617, 2265)(1618, 2266)(1619, 2267)(1620, 2268)(1621, 2269)(1622, 2270)(1623, 2271)(1624, 2272)(1625, 2273)(1626, 2274)(1627, 2275)(1628, 2276)(1629, 2277)(1630, 2278)(1631, 2279)(1632, 2280)(1633, 2281)(1634, 2282)(1635, 2283)(1636, 2284)(1637, 2285)(1638, 2286)(1639, 2287)(1640, 2288)(1641, 2289)(1642, 2290)(1643, 2291)(1644, 2292)(1645, 2293)(1646, 2294)(1647, 2295)(1648, 2296)(1649, 2297)(1650, 2298)(1651, 2299)(1652, 2300)(1653, 2301)(1654, 2302)(1655, 2303)(1656, 2304)(1657, 2305)(1658, 2306)(1659, 2307)(1660, 2308)(1661, 2309)(1662, 2310)(1663, 2311)(1664, 2312)(1665, 2313)(1666, 2314)(1667, 2315)(1668, 2316)(1669, 2317)(1670, 2318)(1671, 2319)(1672, 2320)(1673, 2321)(1674, 2322)(1675, 2323)(1676, 2324)(1677, 2325)(1678, 2326)(1679, 2327)(1680, 2328)(1681, 2329)(1682, 2330)(1683, 2331)(1684, 2332)(1685, 2333)(1686, 2334)(1687, 2335)(1688, 2336)(1689, 2337)(1690, 2338)(1691, 2339)(1692, 2340)(1693, 2341)(1694, 2342)(1695, 2343)(1696, 2344)(1697, 2345)(1698, 2346)(1699, 2347)(1700, 2348)(1701, 2349)(1702, 2350)(1703, 2351)(1704, 2352)(1705, 2353)(1706, 2354)(1707, 2355)(1708, 2356)(1709, 2357)(1710, 2358)(1711, 2359)(1712, 2360)(1713, 2361)(1714, 2362)(1715, 2363)(1716, 2364)(1717, 2365)(1718, 2366)(1719, 2367)(1720, 2368)(1721, 2369)(1722, 2370)(1723, 2371)(1724, 2372)(1725, 2373)(1726, 2374)(1727, 2375)(1728, 2376)(1729, 2377)(1730, 2378)(1731, 2379)(1732, 2380)(1733, 2381)(1734, 2382)(1735, 2383)(1736, 2384)(1737, 2385)(1738, 2386)(1739, 2387)(1740, 2388)(1741, 2389)(1742, 2390)(1743, 2391)(1744, 2392)(1745, 2393)(1746, 2394)(1747, 2395)(1748, 2396)(1749, 2397)(1750, 2398)(1751, 2399)(1752, 2400)(1753, 2401)(1754, 2402)(1755, 2403)(1756, 2404)(1757, 2405)(1758, 2406)(1759, 2407)(1760, 2408)(1761, 2409)(1762, 2410)(1763, 2411)(1764, 2412)(1765, 2413)(1766, 2414)(1767, 2415)(1768, 2416)(1769, 2417)(1770, 2418)(1771, 2419)(1772, 2420)(1773, 2421)(1774, 2422)(1775, 2423)(1776, 2424)(1777, 2425)(1778, 2426)(1779, 2427)(1780, 2428)(1781, 2429)(1782, 2430)(1783, 2431)(1784, 2432)(1785, 2433)(1786, 2434)(1787, 2435)(1788, 2436)(1789, 2437)(1790, 2438)(1791, 2439)(1792, 2440)(1793, 2441)(1794, 2442)(1795, 2443)(1796, 2444)(1797, 2445)(1798, 2446)(1799, 2447)(1800, 2448)(1801, 2449)(1802, 2450)(1803, 2451)(1804, 2452)(1805, 2453)(1806, 2454)(1807, 2455)(1808, 2456)(1809, 2457)(1810, 2458)(1811, 2459)(1812, 2460)(1813, 2461)(1814, 2462)(1815, 2463)(1816, 2464)(1817, 2465)(1818, 2466)(1819, 2467)(1820, 2468)(1821, 2469)(1822, 2470)(1823, 2471)(1824, 2472)(1825, 2473)(1826, 2474)(1827, 2475)(1828, 2476)(1829, 2477)(1830, 2478)(1831, 2479)(1832, 2480)(1833, 2481)(1834, 2482)(1835, 2483)(1836, 2484)(1837, 2485)(1838, 2486)(1839, 2487)(1840, 2488)(1841, 2489)(1842, 2490)(1843, 2491)(1844, 2492)(1845, 2493)(1846, 2494)(1847, 2495)(1848, 2496)(1849, 2497)(1850, 2498)(1851, 2499)(1852, 2500)(1853, 2501)(1854, 2502)(1855, 2503)(1856, 2504)(1857, 2505)(1858, 2506)(1859, 2507)(1860, 2508)(1861, 2509)(1862, 2510)(1863, 2511)(1864, 2512)(1865, 2513)(1866, 2514)(1867, 2515)(1868, 2516)(1869, 2517)(1870, 2518)(1871, 2519)(1872, 2520)(1873, 2521)(1874, 2522)(1875, 2523)(1876, 2524)(1877, 2525)(1878, 2526)(1879, 2527)(1880, 2528)(1881, 2529)(1882, 2530)(1883, 2531)(1884, 2532)(1885, 2533)(1886, 2534)(1887, 2535)(1888, 2536)(1889, 2537)(1890, 2538)(1891, 2539)(1892, 2540)(1893, 2541)(1894, 2542)(1895, 2543)(1896, 2544)(1897, 2545)(1898, 2546)(1899, 2547)(1900, 2548)(1901, 2549)(1902, 2550)(1903, 2551)(1904, 2552)(1905, 2553)(1906, 2554)(1907, 2555)(1908, 2556)(1909, 2557)(1910, 2558)(1911, 2559)(1912, 2560)(1913, 2561)(1914, 2562)(1915, 2563)(1916, 2564)(1917, 2565)(1918, 2566)(1919, 2567)(1920, 2568)(1921, 2569)(1922, 2570)(1923, 2571)(1924, 2572)(1925, 2573)(1926, 2574)(1927, 2575)(1928, 2576)(1929, 2577)(1930, 2578)(1931, 2579)(1932, 2580)(1933, 2581)(1934, 2582)(1935, 2583)(1936, 2584)(1937, 2585)(1938, 2586)(1939, 2587)(1940, 2588)(1941, 2589)(1942, 2590)(1943, 2591)(1944, 2592)
	L = (1, 1299)(2, 1302)(3, 1305)(4, 1307)(5, 1297)(6, 1310)(7, 1298)(8, 1300)(9, 1315)(10, 1317)(11, 1318)(12, 1319)(13, 1301)(14, 1323)(15, 1325)(16, 1303)(17, 1304)(18, 1306)(19, 1333)(20, 1335)(21, 1336)(22, 1337)(23, 1339)(24, 1308)(25, 1341)(26, 1309)(27, 1346)(28, 1348)(29, 1349)(30, 1311)(31, 1351)(32, 1312)(33, 1355)(34, 1313)(35, 1314)(36, 1316)(37, 1363)(38, 1365)(39, 1366)(40, 1367)(41, 1370)(42, 1372)(43, 1373)(44, 1320)(45, 1377)(46, 1321)(47, 1379)(48, 1322)(49, 1324)(50, 1385)(51, 1387)(52, 1388)(53, 1389)(54, 1326)(55, 1393)(56, 1327)(57, 1395)(58, 1328)(59, 1399)(60, 1329)(61, 1401)(62, 1330)(63, 1405)(64, 1331)(65, 1332)(66, 1334)(67, 1413)(68, 1415)(69, 1416)(70, 1417)(71, 1420)(72, 1422)(73, 1338)(74, 1425)(75, 1427)(76, 1428)(77, 1430)(78, 1432)(79, 1433)(80, 1340)(81, 1437)(82, 1342)(83, 1441)(84, 1343)(85, 1443)(86, 1344)(87, 1345)(88, 1347)(89, 1450)(90, 1452)(91, 1453)(92, 1454)(93, 1457)(94, 1459)(95, 1460)(96, 1350)(97, 1464)(98, 1352)(99, 1468)(100, 1353)(101, 1470)(102, 1354)(103, 1473)(104, 1356)(105, 1477)(106, 1357)(107, 1479)(108, 1358)(109, 1483)(110, 1359)(111, 1485)(112, 1360)(113, 1489)(114, 1361)(115, 1362)(116, 1364)(117, 1382)(118, 1498)(119, 1499)(120, 1500)(121, 1503)(122, 1505)(123, 1368)(124, 1508)(125, 1510)(126, 1511)(127, 1369)(128, 1371)(129, 1482)(130, 1517)(131, 1518)(132, 1519)(133, 1374)(134, 1523)(135, 1525)(136, 1526)(137, 1527)(138, 1375)(139, 1529)(140, 1376)(141, 1534)(142, 1536)(143, 1537)(144, 1378)(145, 1541)(146, 1380)(147, 1545)(148, 1381)(149, 1497)(150, 1548)(151, 1383)(152, 1384)(153, 1386)(154, 1398)(155, 1557)(156, 1558)(157, 1559)(158, 1562)(159, 1564)(160, 1390)(161, 1567)(162, 1569)(163, 1570)(164, 1571)(165, 1391)(166, 1573)(167, 1392)(168, 1578)(169, 1580)(170, 1581)(171, 1394)(172, 1585)(173, 1396)(174, 1589)(175, 1397)(176, 1556)(177, 1592)(178, 1594)(179, 1595)(180, 1400)(181, 1599)(182, 1402)(183, 1603)(184, 1403)(185, 1604)(186, 1404)(187, 1607)(188, 1406)(189, 1611)(190, 1407)(191, 1613)(192, 1408)(193, 1617)(194, 1409)(195, 1619)(196, 1410)(197, 1623)(198, 1411)(199, 1412)(200, 1414)(201, 1630)(202, 1631)(203, 1471)(204, 1531)(205, 1635)(206, 1418)(207, 1638)(208, 1639)(209, 1640)(210, 1419)(211, 1421)(212, 1616)(213, 1544)(214, 1646)(215, 1647)(216, 1649)(217, 1423)(218, 1424)(219, 1426)(220, 1656)(221, 1546)(222, 1614)(223, 1659)(224, 1661)(225, 1429)(226, 1431)(227, 1666)(228, 1588)(229, 1668)(230, 1669)(231, 1671)(232, 1434)(233, 1634)(234, 1435)(235, 1676)(236, 1436)(237, 1438)(238, 1680)(239, 1682)(240, 1683)(241, 1684)(242, 1439)(243, 1637)(244, 1440)(245, 1689)(246, 1691)(247, 1692)(248, 1442)(249, 1694)(250, 1444)(251, 1445)(252, 1698)(253, 1446)(254, 1700)(255, 1447)(256, 1704)(257, 1448)(258, 1449)(259, 1451)(260, 1711)(261, 1697)(262, 1480)(263, 1575)(264, 1715)(265, 1455)(266, 1718)(267, 1719)(268, 1720)(269, 1456)(270, 1458)(271, 1725)(272, 1602)(273, 1727)(274, 1728)(275, 1730)(276, 1461)(277, 1714)(278, 1462)(279, 1735)(280, 1463)(281, 1465)(282, 1739)(283, 1741)(284, 1742)(285, 1743)(286, 1466)(287, 1717)(288, 1467)(289, 1748)(290, 1632)(291, 1750)(292, 1469)(293, 1752)(294, 1472)(295, 1474)(296, 1757)(297, 1759)(298, 1760)(299, 1761)(300, 1475)(301, 1763)(302, 1476)(303, 1767)(304, 1712)(305, 1769)(306, 1478)(307, 1771)(308, 1773)(309, 1481)(310, 1516)(311, 1776)(312, 1745)(313, 1751)(314, 1484)(315, 1779)(316, 1486)(317, 1782)(318, 1487)(319, 1710)(320, 1488)(321, 1784)(322, 1490)(323, 1787)(324, 1491)(325, 1789)(326, 1492)(327, 1793)(328, 1493)(329, 1795)(330, 1494)(331, 1703)(332, 1495)(333, 1496)(334, 1726)(335, 1605)(336, 1801)(337, 1501)(338, 1803)(339, 1729)(340, 1502)(341, 1504)(342, 1792)(343, 1721)(344, 1732)(345, 1806)(346, 1506)(347, 1507)(348, 1509)(349, 1811)(350, 1790)(351, 1812)(352, 1744)(353, 1813)(354, 1512)(355, 1815)(356, 1513)(357, 1819)(358, 1514)(359, 1515)(360, 1754)(361, 1822)(362, 1520)(363, 1824)(364, 1825)(365, 1805)(366, 1826)(367, 1521)(368, 1522)(369, 1524)(370, 1532)(371, 1830)(372, 1831)(373, 1794)(374, 1762)(375, 1833)(376, 1764)(377, 1770)(378, 1528)(379, 1530)(380, 1836)(381, 1774)(382, 1533)(383, 1535)(384, 1753)(385, 1835)(386, 1840)(387, 1786)(388, 1841)(389, 1538)(390, 1539)(391, 1540)(392, 1542)(393, 1843)(394, 1845)(395, 1778)(396, 1846)(397, 1543)(398, 1847)(399, 1765)(400, 1653)(401, 1547)(402, 1849)(403, 1549)(404, 1852)(405, 1550)(406, 1799)(407, 1551)(408, 1854)(409, 1552)(410, 1856)(411, 1553)(412, 1818)(413, 1554)(414, 1555)(415, 1645)(416, 1862)(417, 1560)(418, 1864)(419, 1648)(420, 1561)(421, 1563)(422, 1627)(423, 1641)(424, 1609)(425, 1866)(426, 1565)(427, 1566)(428, 1568)(429, 1576)(430, 1783)(431, 1870)(432, 1855)(433, 1685)(434, 1872)(435, 1686)(436, 1693)(437, 1572)(438, 1574)(439, 1875)(440, 1629)(441, 1577)(442, 1579)(443, 1772)(444, 1874)(445, 1879)(446, 1851)(447, 1880)(448, 1582)(449, 1583)(450, 1584)(451, 1586)(452, 1882)(453, 1884)(454, 1885)(455, 1587)(456, 1800)(457, 1687)(458, 1590)(459, 1591)(460, 1593)(461, 1695)(462, 1781)(463, 1889)(464, 1890)(465, 1891)(466, 1596)(467, 1660)(468, 1597)(469, 1598)(470, 1600)(471, 1893)(472, 1895)(473, 1896)(474, 1601)(475, 1861)(476, 1746)(477, 1667)(478, 1606)(479, 1608)(480, 1688)(481, 1881)(482, 1610)(483, 1876)(484, 1657)(485, 1612)(486, 1899)(487, 1615)(488, 1678)(489, 1868)(490, 1618)(491, 1902)(492, 1620)(493, 1904)(494, 1621)(495, 1655)(496, 1622)(497, 1663)(498, 1624)(499, 1867)(500, 1625)(501, 1907)(502, 1626)(503, 1908)(504, 1628)(505, 1674)(506, 1633)(507, 1886)(508, 1636)(509, 1673)(510, 1858)(511, 1913)(512, 1642)(513, 1643)(514, 1644)(515, 1677)(516, 1696)(517, 1887)(518, 1650)(519, 1911)(520, 1651)(521, 1860)(522, 1652)(523, 1808)(524, 1917)(525, 1654)(526, 1670)(527, 1658)(528, 1708)(529, 1662)(530, 1918)(531, 1905)(532, 1664)(533, 1665)(534, 1736)(535, 1702)(536, 1672)(537, 1747)(538, 1892)(539, 1675)(540, 1798)(541, 1901)(542, 1679)(543, 1681)(544, 1906)(545, 1910)(546, 1690)(547, 1810)(548, 1871)(549, 1903)(550, 1912)(551, 1791)(552, 1758)(553, 1737)(554, 1809)(555, 1699)(556, 1925)(557, 1701)(558, 1722)(559, 1705)(560, 1807)(561, 1706)(562, 1929)(563, 1707)(564, 1930)(565, 1709)(566, 1733)(567, 1713)(568, 1837)(569, 1716)(570, 1797)(571, 1927)(572, 1723)(573, 1724)(574, 1817)(575, 1731)(576, 1766)(577, 1842)(578, 1734)(579, 1859)(580, 1924)(581, 1738)(582, 1740)(583, 1928)(584, 1932)(585, 1749)(586, 1829)(587, 1775)(588, 1926)(589, 1933)(590, 1936)(591, 1755)(592, 1756)(593, 1939)(594, 1814)(595, 1940)(596, 1768)(597, 1869)(598, 1832)(599, 1942)(600, 1943)(601, 1777)(602, 1780)(603, 1821)(604, 1785)(605, 1931)(606, 1934)(607, 1788)(608, 1923)(609, 1938)(610, 1796)(611, 1844)(612, 1937)(613, 1839)(614, 1802)(615, 1944)(616, 1804)(617, 1935)(618, 1820)(619, 1828)(620, 1816)(621, 1827)(622, 1941)(623, 1823)(624, 1834)(625, 1838)(626, 1848)(627, 1850)(628, 1922)(629, 1897)(630, 1853)(631, 1921)(632, 1857)(633, 1883)(634, 1900)(635, 1878)(636, 1863)(637, 1865)(638, 1873)(639, 1877)(640, 1909)(641, 1915)(642, 1888)(643, 1914)(644, 1898)(645, 1894)(646, 1916)(647, 1919)(648, 1920)(649, 1945)(650, 1946)(651, 1947)(652, 1948)(653, 1949)(654, 1950)(655, 1951)(656, 1952)(657, 1953)(658, 1954)(659, 1955)(660, 1956)(661, 1957)(662, 1958)(663, 1959)(664, 1960)(665, 1961)(666, 1962)(667, 1963)(668, 1964)(669, 1965)(670, 1966)(671, 1967)(672, 1968)(673, 1969)(674, 1970)(675, 1971)(676, 1972)(677, 1973)(678, 1974)(679, 1975)(680, 1976)(681, 1977)(682, 1978)(683, 1979)(684, 1980)(685, 1981)(686, 1982)(687, 1983)(688, 1984)(689, 1985)(690, 1986)(691, 1987)(692, 1988)(693, 1989)(694, 1990)(695, 1991)(696, 1992)(697, 1993)(698, 1994)(699, 1995)(700, 1996)(701, 1997)(702, 1998)(703, 1999)(704, 2000)(705, 2001)(706, 2002)(707, 2003)(708, 2004)(709, 2005)(710, 2006)(711, 2007)(712, 2008)(713, 2009)(714, 2010)(715, 2011)(716, 2012)(717, 2013)(718, 2014)(719, 2015)(720, 2016)(721, 2017)(722, 2018)(723, 2019)(724, 2020)(725, 2021)(726, 2022)(727, 2023)(728, 2024)(729, 2025)(730, 2026)(731, 2027)(732, 2028)(733, 2029)(734, 2030)(735, 2031)(736, 2032)(737, 2033)(738, 2034)(739, 2035)(740, 2036)(741, 2037)(742, 2038)(743, 2039)(744, 2040)(745, 2041)(746, 2042)(747, 2043)(748, 2044)(749, 2045)(750, 2046)(751, 2047)(752, 2048)(753, 2049)(754, 2050)(755, 2051)(756, 2052)(757, 2053)(758, 2054)(759, 2055)(760, 2056)(761, 2057)(762, 2058)(763, 2059)(764, 2060)(765, 2061)(766, 2062)(767, 2063)(768, 2064)(769, 2065)(770, 2066)(771, 2067)(772, 2068)(773, 2069)(774, 2070)(775, 2071)(776, 2072)(777, 2073)(778, 2074)(779, 2075)(780, 2076)(781, 2077)(782, 2078)(783, 2079)(784, 2080)(785, 2081)(786, 2082)(787, 2083)(788, 2084)(789, 2085)(790, 2086)(791, 2087)(792, 2088)(793, 2089)(794, 2090)(795, 2091)(796, 2092)(797, 2093)(798, 2094)(799, 2095)(800, 2096)(801, 2097)(802, 2098)(803, 2099)(804, 2100)(805, 2101)(806, 2102)(807, 2103)(808, 2104)(809, 2105)(810, 2106)(811, 2107)(812, 2108)(813, 2109)(814, 2110)(815, 2111)(816, 2112)(817, 2113)(818, 2114)(819, 2115)(820, 2116)(821, 2117)(822, 2118)(823, 2119)(824, 2120)(825, 2121)(826, 2122)(827, 2123)(828, 2124)(829, 2125)(830, 2126)(831, 2127)(832, 2128)(833, 2129)(834, 2130)(835, 2131)(836, 2132)(837, 2133)(838, 2134)(839, 2135)(840, 2136)(841, 2137)(842, 2138)(843, 2139)(844, 2140)(845, 2141)(846, 2142)(847, 2143)(848, 2144)(849, 2145)(850, 2146)(851, 2147)(852, 2148)(853, 2149)(854, 2150)(855, 2151)(856, 2152)(857, 2153)(858, 2154)(859, 2155)(860, 2156)(861, 2157)(862, 2158)(863, 2159)(864, 2160)(865, 2161)(866, 2162)(867, 2163)(868, 2164)(869, 2165)(870, 2166)(871, 2167)(872, 2168)(873, 2169)(874, 2170)(875, 2171)(876, 2172)(877, 2173)(878, 2174)(879, 2175)(880, 2176)(881, 2177)(882, 2178)(883, 2179)(884, 2180)(885, 2181)(886, 2182)(887, 2183)(888, 2184)(889, 2185)(890, 2186)(891, 2187)(892, 2188)(893, 2189)(894, 2190)(895, 2191)(896, 2192)(897, 2193)(898, 2194)(899, 2195)(900, 2196)(901, 2197)(902, 2198)(903, 2199)(904, 2200)(905, 2201)(906, 2202)(907, 2203)(908, 2204)(909, 2205)(910, 2206)(911, 2207)(912, 2208)(913, 2209)(914, 2210)(915, 2211)(916, 2212)(917, 2213)(918, 2214)(919, 2215)(920, 2216)(921, 2217)(922, 2218)(923, 2219)(924, 2220)(925, 2221)(926, 2222)(927, 2223)(928, 2224)(929, 2225)(930, 2226)(931, 2227)(932, 2228)(933, 2229)(934, 2230)(935, 2231)(936, 2232)(937, 2233)(938, 2234)(939, 2235)(940, 2236)(941, 2237)(942, 2238)(943, 2239)(944, 2240)(945, 2241)(946, 2242)(947, 2243)(948, 2244)(949, 2245)(950, 2246)(951, 2247)(952, 2248)(953, 2249)(954, 2250)(955, 2251)(956, 2252)(957, 2253)(958, 2254)(959, 2255)(960, 2256)(961, 2257)(962, 2258)(963, 2259)(964, 2260)(965, 2261)(966, 2262)(967, 2263)(968, 2264)(969, 2265)(970, 2266)(971, 2267)(972, 2268)(973, 2269)(974, 2270)(975, 2271)(976, 2272)(977, 2273)(978, 2274)(979, 2275)(980, 2276)(981, 2277)(982, 2278)(983, 2279)(984, 2280)(985, 2281)(986, 2282)(987, 2283)(988, 2284)(989, 2285)(990, 2286)(991, 2287)(992, 2288)(993, 2289)(994, 2290)(995, 2291)(996, 2292)(997, 2293)(998, 2294)(999, 2295)(1000, 2296)(1001, 2297)(1002, 2298)(1003, 2299)(1004, 2300)(1005, 2301)(1006, 2302)(1007, 2303)(1008, 2304)(1009, 2305)(1010, 2306)(1011, 2307)(1012, 2308)(1013, 2309)(1014, 2310)(1015, 2311)(1016, 2312)(1017, 2313)(1018, 2314)(1019, 2315)(1020, 2316)(1021, 2317)(1022, 2318)(1023, 2319)(1024, 2320)(1025, 2321)(1026, 2322)(1027, 2323)(1028, 2324)(1029, 2325)(1030, 2326)(1031, 2327)(1032, 2328)(1033, 2329)(1034, 2330)(1035, 2331)(1036, 2332)(1037, 2333)(1038, 2334)(1039, 2335)(1040, 2336)(1041, 2337)(1042, 2338)(1043, 2339)(1044, 2340)(1045, 2341)(1046, 2342)(1047, 2343)(1048, 2344)(1049, 2345)(1050, 2346)(1051, 2347)(1052, 2348)(1053, 2349)(1054, 2350)(1055, 2351)(1056, 2352)(1057, 2353)(1058, 2354)(1059, 2355)(1060, 2356)(1061, 2357)(1062, 2358)(1063, 2359)(1064, 2360)(1065, 2361)(1066, 2362)(1067, 2363)(1068, 2364)(1069, 2365)(1070, 2366)(1071, 2367)(1072, 2368)(1073, 2369)(1074, 2370)(1075, 2371)(1076, 2372)(1077, 2373)(1078, 2374)(1079, 2375)(1080, 2376)(1081, 2377)(1082, 2378)(1083, 2379)(1084, 2380)(1085, 2381)(1086, 2382)(1087, 2383)(1088, 2384)(1089, 2385)(1090, 2386)(1091, 2387)(1092, 2388)(1093, 2389)(1094, 2390)(1095, 2391)(1096, 2392)(1097, 2393)(1098, 2394)(1099, 2395)(1100, 2396)(1101, 2397)(1102, 2398)(1103, 2399)(1104, 2400)(1105, 2401)(1106, 2402)(1107, 2403)(1108, 2404)(1109, 2405)(1110, 2406)(1111, 2407)(1112, 2408)(1113, 2409)(1114, 2410)(1115, 2411)(1116, 2412)(1117, 2413)(1118, 2414)(1119, 2415)(1120, 2416)(1121, 2417)(1122, 2418)(1123, 2419)(1124, 2420)(1125, 2421)(1126, 2422)(1127, 2423)(1128, 2424)(1129, 2425)(1130, 2426)(1131, 2427)(1132, 2428)(1133, 2429)(1134, 2430)(1135, 2431)(1136, 2432)(1137, 2433)(1138, 2434)(1139, 2435)(1140, 2436)(1141, 2437)(1142, 2438)(1143, 2439)(1144, 2440)(1145, 2441)(1146, 2442)(1147, 2443)(1148, 2444)(1149, 2445)(1150, 2446)(1151, 2447)(1152, 2448)(1153, 2449)(1154, 2450)(1155, 2451)(1156, 2452)(1157, 2453)(1158, 2454)(1159, 2455)(1160, 2456)(1161, 2457)(1162, 2458)(1163, 2459)(1164, 2460)(1165, 2461)(1166, 2462)(1167, 2463)(1168, 2464)(1169, 2465)(1170, 2466)(1171, 2467)(1172, 2468)(1173, 2469)(1174, 2470)(1175, 2471)(1176, 2472)(1177, 2473)(1178, 2474)(1179, 2475)(1180, 2476)(1181, 2477)(1182, 2478)(1183, 2479)(1184, 2480)(1185, 2481)(1186, 2482)(1187, 2483)(1188, 2484)(1189, 2485)(1190, 2486)(1191, 2487)(1192, 2488)(1193, 2489)(1194, 2490)(1195, 2491)(1196, 2492)(1197, 2493)(1198, 2494)(1199, 2495)(1200, 2496)(1201, 2497)(1202, 2498)(1203, 2499)(1204, 2500)(1205, 2501)(1206, 2502)(1207, 2503)(1208, 2504)(1209, 2505)(1210, 2506)(1211, 2507)(1212, 2508)(1213, 2509)(1214, 2510)(1215, 2511)(1216, 2512)(1217, 2513)(1218, 2514)(1219, 2515)(1220, 2516)(1221, 2517)(1222, 2518)(1223, 2519)(1224, 2520)(1225, 2521)(1226, 2522)(1227, 2523)(1228, 2524)(1229, 2525)(1230, 2526)(1231, 2527)(1232, 2528)(1233, 2529)(1234, 2530)(1235, 2531)(1236, 2532)(1237, 2533)(1238, 2534)(1239, 2535)(1240, 2536)(1241, 2537)(1242, 2538)(1243, 2539)(1244, 2540)(1245, 2541)(1246, 2542)(1247, 2543)(1248, 2544)(1249, 2545)(1250, 2546)(1251, 2547)(1252, 2548)(1253, 2549)(1254, 2550)(1255, 2551)(1256, 2552)(1257, 2553)(1258, 2554)(1259, 2555)(1260, 2556)(1261, 2557)(1262, 2558)(1263, 2559)(1264, 2560)(1265, 2561)(1266, 2562)(1267, 2563)(1268, 2564)(1269, 2565)(1270, 2566)(1271, 2567)(1272, 2568)(1273, 2569)(1274, 2570)(1275, 2571)(1276, 2572)(1277, 2573)(1278, 2574)(1279, 2575)(1280, 2576)(1281, 2577)(1282, 2578)(1283, 2579)(1284, 2580)(1285, 2581)(1286, 2582)(1287, 2583)(1288, 2584)(1289, 2585)(1290, 2586)(1291, 2587)(1292, 2588)(1293, 2589)(1294, 2590)(1295, 2591)(1296, 2592)
	local type(s) :: { ( 4, 24 ), ( 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.3343
Graph:: simple bipartite
	v = 864 e = 1296 f = 378
	degree seq :: [ 2^648, 6^216 ]

E28.3345 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 3, 12})
Quotient :: regular
Aut^+ = $<648, 703>$ (small group id <648, 703>)
Aut   = $<1296, 3492>$ (small group id <1296, 3492>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1 * T2)^3, T1^12, T1^-1 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-3 * T2, (T1^-2 * T2 * T1^2 * T2 * T1^-1)^2 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 11, 21, 37, 63, 62, 36, 20, 10, 4)(3, 7, 15, 27, 47, 79, 129, 91, 54, 31, 17, 8)(6, 13, 25, 43, 73, 119, 182, 128, 78, 46, 26, 14)(9, 18, 32, 55, 92, 147, 205, 139, 86, 51, 29, 16)(12, 23, 41, 69, 113, 174, 246, 181, 118, 72, 42, 24)(19, 34, 58, 97, 153, 219, 291, 218, 152, 96, 57, 33)(22, 39, 67, 109, 169, 239, 319, 245, 173, 112, 68, 40)(28, 49, 83, 134, 199, 271, 316, 236, 166, 111, 84, 50)(30, 52, 87, 140, 206, 278, 309, 231, 167, 123, 75, 44)(35, 60, 100, 156, 223, 297, 379, 296, 222, 155, 99, 59)(38, 65, 107, 165, 234, 312, 397, 318, 238, 168, 108, 66)(45, 76, 124, 98, 154, 220, 293, 304, 232, 178, 115, 70)(48, 81, 133, 197, 268, 349, 417, 330, 251, 179, 117, 82)(53, 89, 143, 188, 259, 339, 426, 363, 281, 208, 142, 88)(56, 94, 150, 215, 288, 305, 243, 171, 110, 71, 116, 95)(61, 102, 158, 225, 300, 383, 467, 382, 299, 224, 157, 101)(64, 105, 163, 230, 307, 391, 475, 396, 311, 233, 164, 106)(74, 121, 186, 257, 336, 422, 353, 270, 198, 136, 172, 122)(77, 126, 93, 149, 214, 287, 370, 429, 341, 260, 189, 125)(80, 131, 180, 252, 313, 399, 473, 438, 348, 267, 196, 132)(85, 137, 202, 141, 207, 279, 360, 432, 346, 274, 201, 135)(90, 145, 175, 248, 317, 402, 472, 452, 365, 282, 209, 144)(103, 160, 227, 302, 386, 470, 540, 469, 385, 301, 226, 159)(104, 161, 228, 303, 387, 471, 542, 474, 390, 306, 229, 162)(114, 176, 249, 328, 413, 497, 425, 338, 258, 187, 237, 177)(120, 184, 244, 324, 392, 477, 446, 356, 275, 203, 138, 185)(127, 191, 240, 321, 395, 479, 457, 369, 286, 213, 148, 190)(130, 194, 265, 345, 434, 513, 574, 515, 437, 347, 266, 195)(146, 211, 283, 366, 453, 527, 563, 496, 412, 327, 247, 210)(151, 217, 273, 200, 272, 354, 443, 519, 455, 374, 290, 216)(170, 241, 322, 406, 490, 557, 500, 415, 329, 250, 310, 242)(183, 255, 204, 276, 350, 440, 514, 567, 505, 421, 335, 256)(192, 262, 342, 430, 510, 572, 610, 556, 489, 405, 320, 261)(193, 263, 343, 431, 511, 573, 604, 550, 481, 433, 344, 264)(212, 284, 367, 454, 508, 570, 619, 586, 529, 456, 368, 285)(221, 295, 373, 289, 372, 459, 530, 587, 533, 464, 378, 294)(235, 314, 400, 483, 551, 605, 560, 492, 407, 323, 389, 315)(253, 332, 418, 502, 566, 616, 576, 518, 442, 482, 398, 331)(254, 333, 419, 503, 465, 537, 594, 600, 545, 504, 420, 334)(269, 351, 441, 517, 552, 606, 579, 521, 444, 355, 436, 352)(277, 358, 447, 523, 580, 609, 555, 488, 404, 487, 439, 357)(280, 362, 424, 337, 423, 506, 568, 602, 581, 526, 450, 361)(292, 364, 451, 512, 449, 525, 583, 625, 591, 534, 462, 376)(298, 381, 388, 377, 463, 535, 592, 624, 582, 524, 448, 359)(308, 393, 478, 547, 601, 628, 607, 553, 484, 401, 384, 394)(325, 409, 493, 561, 613, 632, 618, 569, 507, 546, 476, 408)(326, 410, 494, 435, 375, 461, 532, 590, 597, 562, 495, 411)(340, 428, 499, 414, 498, 564, 614, 593, 536, 571, 509, 427)(371, 416, 501, 559, 491, 558, 611, 589, 531, 460, 528, 458)(380, 445, 522, 578, 520, 577, 622, 636, 626, 584, 538, 466)(403, 486, 554, 608, 630, 640, 633, 615, 565, 598, 543, 485)(468, 516, 544, 599, 588, 627, 638, 644, 637, 623, 595, 539)(480, 549, 603, 629, 639, 645, 641, 631, 612, 596, 541, 548)(575, 621, 635, 643, 647, 648, 646, 642, 634, 620, 585, 617)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 13)(10, 19)(11, 22)(14, 23)(15, 28)(17, 30)(18, 33)(20, 35)(21, 38)(24, 39)(25, 44)(26, 45)(27, 48)(29, 49)(31, 53)(32, 56)(34, 59)(36, 61)(37, 64)(40, 65)(41, 70)(42, 71)(43, 74)(46, 77)(47, 80)(50, 81)(51, 85)(52, 88)(54, 90)(55, 93)(57, 94)(58, 98)(60, 101)(62, 103)(63, 104)(66, 105)(67, 110)(68, 111)(69, 114)(72, 117)(73, 120)(75, 121)(76, 125)(78, 127)(79, 130)(82, 131)(83, 135)(84, 136)(86, 138)(87, 141)(89, 144)(91, 146)(92, 148)(95, 149)(96, 151)(97, 143)(99, 154)(100, 140)(102, 159)(106, 161)(107, 166)(108, 167)(109, 170)(112, 172)(113, 175)(115, 176)(116, 179)(118, 180)(119, 183)(122, 184)(123, 187)(124, 188)(126, 190)(128, 192)(129, 193)(132, 194)(133, 198)(134, 200)(137, 203)(139, 204)(142, 207)(145, 210)(147, 212)(150, 216)(152, 196)(153, 209)(155, 221)(156, 202)(157, 206)(158, 199)(160, 162)(163, 231)(164, 232)(165, 235)(168, 237)(169, 240)(171, 241)(173, 244)(174, 247)(177, 248)(178, 250)(181, 253)(182, 254)(185, 255)(186, 258)(189, 259)(191, 261)(195, 263)(197, 269)(201, 272)(205, 277)(208, 280)(211, 264)(213, 284)(214, 251)(215, 289)(217, 267)(218, 265)(219, 292)(220, 294)(222, 286)(223, 275)(224, 298)(225, 273)(226, 271)(227, 288)(228, 304)(229, 305)(230, 308)(233, 310)(234, 313)(236, 314)(238, 317)(239, 320)(242, 321)(243, 323)(245, 325)(246, 326)(249, 329)(252, 331)(256, 333)(257, 337)(260, 340)(262, 334)(266, 346)(268, 350)(270, 351)(274, 355)(276, 357)(278, 359)(279, 361)(281, 335)(282, 364)(283, 336)(285, 358)(287, 371)(290, 372)(291, 375)(293, 377)(295, 369)(296, 367)(297, 380)(299, 365)(300, 348)(301, 384)(302, 373)(303, 388)(306, 389)(307, 392)(309, 393)(311, 395)(312, 398)(315, 399)(316, 401)(318, 403)(319, 404)(322, 407)(324, 408)(327, 410)(328, 414)(330, 416)(332, 411)(338, 423)(339, 427)(341, 412)(342, 413)(343, 432)(344, 422)(345, 435)(347, 436)(349, 439)(352, 440)(353, 442)(354, 444)(356, 445)(360, 449)(362, 421)(363, 419)(366, 424)(368, 455)(370, 434)(374, 460)(376, 461)(378, 463)(379, 465)(381, 452)(382, 451)(383, 468)(385, 446)(386, 457)(387, 472)(390, 473)(391, 476)(394, 477)(396, 480)(397, 481)(400, 484)(402, 485)(405, 487)(406, 491)(409, 488)(415, 498)(417, 489)(418, 490)(420, 497)(425, 507)(426, 508)(428, 496)(429, 494)(430, 499)(431, 512)(433, 482)(437, 514)(438, 516)(441, 518)(443, 520)(447, 519)(448, 478)(450, 525)(453, 505)(454, 503)(456, 528)(458, 513)(459, 531)(462, 533)(464, 536)(466, 537)(467, 511)(469, 522)(470, 541)(471, 543)(474, 544)(475, 545)(479, 548)(483, 552)(486, 550)(492, 558)(493, 551)(495, 557)(500, 565)(501, 556)(502, 559)(504, 546)(506, 569)(509, 570)(510, 563)(515, 575)(517, 561)(521, 577)(523, 578)(524, 581)(526, 584)(527, 585)(529, 574)(530, 588)(532, 587)(534, 571)(535, 593)(538, 582)(539, 573)(540, 580)(542, 597)(547, 602)(549, 600)(553, 606)(554, 601)(555, 605)(560, 612)(562, 598)(564, 615)(566, 610)(567, 617)(568, 608)(572, 620)(576, 613)(579, 623)(583, 626)(586, 621)(589, 627)(590, 599)(591, 619)(592, 603)(594, 624)(595, 607)(596, 609)(604, 628)(611, 631)(614, 629)(616, 634)(618, 630)(622, 637)(625, 635)(632, 642)(633, 639)(636, 643)(638, 641)(640, 646)(644, 647)(645, 648)
	local type(s) :: { ( 3^12 ) }
Outer automorphisms :: reflexible
Dual of E28.3346
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 54 e = 324 f = 216
	degree seq :: [ 12^54 ]

E28.3346 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 3, 12})
Quotient :: regular
Aut^+ = $<648, 703>$ (small group id <648, 703>)
Aut   = $<1296, 3492>$ (small group id <1296, 3492>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^3, (F * T1)^2, (F * T2)^2, (T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1)^2, (T2 * T1^-1)^12, (T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1)^2 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 4)(3, 6, 7)(5, 9, 10)(8, 13, 14)(11, 17, 18)(12, 19, 20)(15, 23, 24)(16, 25, 26)(21, 31, 32)(22, 33, 34)(27, 39, 40)(28, 41, 42)(29, 43, 44)(30, 45, 46)(35, 51, 52)(36, 53, 54)(37, 55, 56)(38, 57, 58)(47, 67, 68)(48, 69, 70)(49, 71, 72)(50, 73, 74)(59, 83, 84)(60, 85, 86)(61, 87, 88)(62, 89, 90)(63, 91, 92)(64, 93, 94)(65, 95, 96)(66, 97, 98)(75, 107, 108)(76, 109, 110)(77, 111, 112)(78, 113, 114)(79, 115, 116)(80, 117, 118)(81, 119, 120)(82, 121, 122)(99, 139, 140)(100, 141, 142)(101, 143, 144)(102, 145, 146)(103, 147, 148)(104, 149, 150)(105, 151, 152)(106, 153, 154)(123, 171, 172)(124, 173, 162)(125, 174, 175)(126, 176, 158)(127, 177, 178)(128, 179, 180)(129, 181, 182)(130, 183, 184)(131, 185, 169)(132, 186, 161)(133, 187, 188)(134, 189, 190)(135, 191, 167)(136, 192, 193)(137, 194, 195)(138, 196, 197)(155, 209, 210)(156, 211, 203)(157, 212, 213)(159, 214, 215)(160, 216, 217)(163, 218, 207)(164, 219, 202)(165, 220, 221)(166, 222, 223)(168, 224, 225)(170, 226, 227)(198, 250, 251)(199, 252, 253)(200, 254, 255)(201, 256, 257)(204, 258, 259)(205, 260, 261)(206, 262, 263)(208, 264, 265)(228, 266, 417)(229, 381, 244)(230, 383, 423)(231, 314, 504)(232, 385, 454)(233, 290, 248)(234, 387, 243)(235, 304, 488)(236, 389, 547)(237, 292, 468)(238, 390, 420)(239, 270, 425)(240, 299, 447)(241, 313, 502)(242, 393, 516)(245, 277, 437)(246, 394, 557)(247, 275, 434)(249, 396, 358)(267, 418, 397)(268, 419, 421)(269, 422, 424)(271, 426, 428)(272, 429, 369)(273, 430, 431)(274, 432, 412)(276, 435, 436)(278, 439, 440)(279, 441, 427)(280, 442, 375)(281, 444, 445)(282, 446, 448)(283, 449, 433)(284, 450, 452)(285, 453, 455)(286, 456, 458)(287, 459, 438)(288, 461, 463)(289, 464, 465)(291, 466, 467)(293, 469, 470)(294, 471, 443)(295, 473, 475)(296, 476, 477)(297, 377, 364)(298, 478, 479)(300, 480, 482)(301, 483, 407)(302, 485, 400)(303, 486, 487)(305, 490, 451)(306, 492, 494)(307, 495, 496)(308, 414, 402)(309, 457, 311)(310, 497, 499)(312, 500, 501)(315, 505, 386)(316, 506, 367)(317, 359, 460)(318, 508, 462)(319, 395, 511)(320, 512, 513)(321, 514, 411)(322, 515, 517)(323, 404, 509)(324, 518, 503)(325, 481, 341)(326, 519, 521)(327, 522, 523)(328, 524, 370)(329, 382, 362)(330, 526, 405)(331, 398, 472)(332, 528, 474)(333, 530, 532)(334, 533, 534)(335, 535, 350)(336, 536, 537)(337, 343, 529)(338, 538, 525)(339, 498, 361)(340, 539, 540)(342, 541, 542)(344, 543, 545)(345, 546, 484)(346, 548, 374)(347, 357, 520)(348, 550, 551)(349, 552, 489)(351, 554, 556)(352, 366, 491)(353, 558, 493)(354, 559, 561)(355, 562, 563)(356, 564, 565)(360, 567, 568)(363, 570, 571)(365, 391, 372)(368, 573, 575)(371, 577, 578)(373, 579, 507)(376, 581, 583)(378, 584, 510)(379, 585, 587)(380, 588, 589)(384, 590, 591)(388, 592, 553)(392, 576, 593)(399, 597, 598)(401, 600, 601)(403, 549, 409)(406, 603, 605)(408, 606, 607)(410, 608, 527)(413, 610, 612)(415, 613, 531)(416, 614, 616)(544, 574, 604)(555, 594, 624)(560, 595, 644)(566, 639, 630)(569, 647, 619)(572, 620, 580)(582, 633, 625)(586, 618, 641)(596, 645, 627)(599, 648, 621)(602, 623, 609)(611, 638, 622)(615, 617, 637)(626, 634, 635)(628, 640, 642)(629, 646, 631)(632, 643, 636)
	L = (1, 3)(2, 5)(4, 8)(6, 11)(7, 12)(9, 15)(10, 16)(13, 21)(14, 22)(17, 27)(18, 28)(19, 29)(20, 30)(23, 35)(24, 36)(25, 37)(26, 38)(31, 47)(32, 48)(33, 49)(34, 50)(39, 59)(40, 60)(41, 61)(42, 62)(43, 63)(44, 64)(45, 65)(46, 66)(51, 75)(52, 76)(53, 77)(54, 78)(55, 79)(56, 80)(57, 81)(58, 82)(67, 99)(68, 100)(69, 101)(70, 102)(71, 103)(72, 104)(73, 105)(74, 106)(83, 123)(84, 124)(85, 125)(86, 126)(87, 127)(88, 128)(89, 129)(90, 130)(91, 131)(92, 132)(93, 133)(94, 134)(95, 135)(96, 136)(97, 137)(98, 138)(107, 155)(108, 156)(109, 157)(110, 158)(111, 159)(112, 160)(113, 161)(114, 162)(115, 163)(116, 164)(117, 165)(118, 166)(119, 167)(120, 168)(121, 169)(122, 170)(139, 198)(140, 183)(141, 199)(142, 176)(143, 200)(144, 201)(145, 202)(146, 203)(147, 194)(148, 181)(149, 204)(150, 205)(151, 191)(152, 206)(153, 207)(154, 208)(171, 228)(172, 229)(173, 230)(174, 231)(175, 232)(177, 233)(178, 234)(179, 235)(180, 236)(182, 237)(184, 238)(185, 239)(186, 240)(187, 241)(188, 242)(189, 243)(190, 244)(192, 245)(193, 246)(195, 247)(196, 248)(197, 249)(209, 358)(210, 359)(211, 279)(212, 362)(213, 273)(214, 364)(215, 365)(216, 367)(217, 291)(218, 369)(219, 311)(220, 370)(221, 312)(222, 372)(223, 317)(224, 375)(225, 303)(226, 377)(227, 267)(250, 397)(251, 398)(252, 400)(253, 276)(254, 402)(255, 403)(256, 405)(257, 298)(258, 407)(259, 327)(260, 409)(261, 331)(262, 412)(263, 315)(264, 414)(265, 266)(268, 420)(269, 423)(270, 421)(271, 427)(272, 424)(274, 433)(275, 428)(277, 438)(278, 431)(280, 443)(281, 436)(282, 447)(283, 381)(284, 451)(285, 454)(286, 457)(287, 460)(288, 462)(289, 448)(290, 440)(292, 452)(293, 468)(294, 472)(295, 474)(296, 458)(297, 445)(299, 463)(300, 481)(301, 484)(302, 374)(304, 489)(305, 491)(306, 493)(307, 470)(308, 455)(309, 475)(310, 498)(313, 503)(314, 411)(316, 507)(318, 509)(319, 510)(320, 482)(321, 465)(322, 516)(323, 487)(324, 467)(325, 494)(326, 520)(328, 525)(329, 350)(330, 527)(332, 529)(333, 531)(334, 499)(335, 477)(336, 501)(337, 386)(338, 479)(339, 511)(340, 519)(341, 387)(342, 488)(343, 434)(344, 544)(345, 547)(346, 496)(347, 549)(348, 437)(349, 553)(351, 555)(352, 557)(353, 505)(354, 560)(355, 521)(356, 523)(357, 532)(360, 480)(361, 391)(363, 506)(366, 425)(368, 574)(371, 442)(373, 580)(376, 582)(378, 394)(379, 586)(380, 540)(382, 513)(383, 535)(384, 542)(385, 545)(388, 517)(389, 562)(390, 514)(392, 551)(393, 556)(395, 561)(396, 518)(399, 497)(401, 526)(404, 429)(406, 604)(408, 432)(410, 609)(413, 611)(415, 486)(416, 615)(417, 546)(418, 538)(419, 592)(422, 620)(426, 623)(430, 575)(435, 605)(439, 495)(441, 548)(444, 464)(446, 618)(449, 508)(450, 627)(453, 476)(456, 617)(459, 528)(461, 589)(466, 512)(469, 595)(471, 490)(473, 630)(478, 533)(483, 558)(485, 534)(492, 616)(500, 583)(502, 584)(504, 563)(515, 588)(522, 612)(524, 613)(530, 587)(536, 639)(537, 572)(539, 622)(541, 631)(543, 621)(550, 633)(552, 644)(554, 626)(559, 647)(564, 645)(565, 602)(566, 568)(567, 624)(569, 571)(570, 635)(573, 591)(576, 578)(577, 638)(579, 641)(581, 628)(585, 648)(590, 614)(593, 607)(594, 606)(596, 598)(597, 625)(599, 601)(600, 642)(603, 619)(608, 637)(610, 629)(632, 646)(634, 636)(640, 643)
	local type(s) :: { ( 12^3 ) }
Outer automorphisms :: reflexible
Dual of E28.3345
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 216 e = 324 f = 54
	degree seq :: [ 3^216 ]

E28.3347 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 12})
Quotient :: edge
Aut^+ = $<648, 703>$ (small group id <648, 703>)
Aut   = $<1296, 3492>$ (small group id <1296, 3492>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^3, (F * T1)^2, (F * T2)^2, (T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1)^2, (T1 * T2)^12, (T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1)^2 ]
Map:: polytopal
	R = (1, 3, 4)(2, 5, 6)(7, 11, 12)(8, 13, 14)(9, 15, 16)(10, 17, 18)(19, 27, 28)(20, 29, 30)(21, 31, 32)(22, 33, 34)(23, 35, 36)(24, 37, 38)(25, 39, 40)(26, 41, 42)(43, 59, 60)(44, 61, 62)(45, 63, 64)(46, 65, 66)(47, 67, 68)(48, 69, 70)(49, 71, 72)(50, 73, 74)(51, 75, 76)(52, 77, 78)(53, 79, 80)(54, 81, 82)(55, 83, 84)(56, 85, 86)(57, 87, 88)(58, 89, 90)(91, 123, 124)(92, 125, 126)(93, 127, 128)(94, 129, 130)(95, 131, 132)(96, 133, 134)(97, 135, 136)(98, 137, 138)(99, 139, 140)(100, 141, 142)(101, 143, 144)(102, 145, 146)(103, 147, 148)(104, 149, 150)(105, 151, 152)(106, 153, 154)(107, 155, 156)(108, 157, 158)(109, 159, 160)(110, 161, 162)(111, 163, 164)(112, 165, 166)(113, 167, 168)(114, 169, 170)(115, 171, 172)(116, 173, 174)(117, 175, 176)(118, 177, 178)(119, 179, 180)(120, 181, 182)(121, 183, 184)(122, 185, 186)(187, 231, 232)(188, 233, 203)(189, 234, 235)(190, 236, 237)(191, 238, 239)(192, 240, 207)(193, 241, 202)(194, 242, 243)(195, 244, 245)(196, 246, 247)(197, 248, 249)(198, 250, 251)(199, 252, 253)(200, 254, 255)(201, 256, 257)(204, 258, 259)(205, 260, 261)(206, 262, 263)(208, 264, 265)(209, 270, 448)(210, 373, 225)(211, 307, 493)(212, 374, 603)(213, 303, 454)(214, 289, 229)(215, 339, 224)(216, 376, 607)(217, 377, 476)(218, 275, 464)(219, 341, 468)(220, 266, 436)(221, 280, 475)(222, 381, 610)(223, 309, 486)(226, 313, 540)(227, 382, 324)(228, 268, 442)(230, 384, 386)(267, 439, 398)(269, 445, 447)(271, 451, 453)(272, 455, 457)(273, 458, 460)(274, 461, 462)(276, 466, 413)(277, 417, 435)(278, 470, 472)(279, 473, 465)(281, 477, 479)(282, 481, 400)(283, 483, 485)(284, 396, 410)(285, 429, 489)(286, 491, 492)(287, 347, 438)(288, 391, 441)(290, 325, 444)(291, 498, 431)(292, 501, 503)(293, 422, 432)(294, 359, 507)(295, 509, 495)(296, 510, 512)(297, 351, 361)(298, 407, 516)(299, 518, 469)(300, 520, 522)(301, 524, 443)(302, 337, 527)(304, 529, 499)(305, 406, 394)(306, 329, 340)(308, 415, 535)(310, 508, 467)(311, 411, 392)(312, 336, 450)(314, 433, 418)(315, 330, 494)(316, 544, 409)(317, 545, 547)(318, 358, 403)(319, 548, 550)(320, 352, 497)(321, 412, 463)(322, 554, 556)(323, 558, 437)(326, 561, 335)(327, 562, 482)(328, 428, 420)(331, 504, 404)(332, 517, 449)(333, 570, 525)(334, 573, 440)(338, 576, 500)(342, 388, 581)(343, 513, 426)(344, 490, 385)(345, 389, 583)(346, 568, 414)(348, 427, 357)(349, 405, 425)(350, 585, 587)(353, 523, 456)(354, 537, 387)(355, 564, 505)(356, 557, 446)(360, 593, 519)(362, 595, 597)(363, 531, 487)(364, 480, 371)(365, 533, 551)(366, 588, 546)(367, 397, 539)(368, 434, 474)(369, 566, 600)(370, 423, 543)(372, 390, 542)(375, 565, 538)(378, 608, 424)(379, 609, 416)(380, 589, 601)(383, 611, 552)(393, 613, 615)(395, 580, 616)(399, 578, 514)(401, 572, 452)(402, 620, 621)(408, 624, 553)(419, 626, 628)(421, 534, 629)(430, 632, 569)(459, 577, 571)(471, 530, 521)(478, 563, 555)(484, 511, 502)(488, 586, 567)(496, 594, 532)(506, 614, 582)(515, 627, 536)(526, 640, 598)(528, 596, 634)(541, 612, 579)(549, 635, 560)(559, 636, 590)(574, 639, 619)(575, 599, 633)(584, 623, 647)(591, 646, 638)(592, 605, 625)(602, 618, 617)(604, 631, 648)(606, 641, 622)(630, 645, 644)(637, 642, 643)(649, 650)(651, 655)(652, 656)(653, 657)(654, 658)(659, 667)(660, 668)(661, 669)(662, 670)(663, 671)(664, 672)(665, 673)(666, 674)(675, 691)(676, 692)(677, 693)(678, 694)(679, 695)(680, 696)(681, 697)(682, 698)(683, 699)(684, 700)(685, 701)(686, 702)(687, 703)(688, 704)(689, 705)(690, 706)(707, 739)(708, 740)(709, 741)(710, 742)(711, 743)(712, 744)(713, 745)(714, 746)(715, 747)(716, 748)(717, 749)(718, 750)(719, 751)(720, 752)(721, 753)(722, 754)(723, 755)(724, 756)(725, 757)(726, 758)(727, 759)(728, 760)(729, 761)(730, 762)(731, 763)(732, 764)(733, 765)(734, 766)(735, 767)(736, 768)(737, 769)(738, 770)(771, 835)(772, 836)(773, 837)(774, 810)(775, 838)(776, 839)(777, 822)(778, 806)(779, 840)(780, 841)(781, 842)(782, 843)(783, 828)(784, 844)(785, 820)(786, 845)(787, 846)(788, 817)(789, 847)(790, 809)(791, 848)(792, 849)(793, 850)(794, 851)(795, 831)(796, 815)(797, 852)(798, 853)(799, 827)(800, 854)(801, 855)(802, 856)(803, 857)(804, 858)(805, 859)(807, 860)(808, 861)(811, 862)(812, 863)(813, 864)(814, 865)(816, 866)(818, 867)(819, 868)(821, 869)(823, 870)(824, 871)(825, 872)(826, 873)(829, 874)(830, 875)(832, 876)(833, 877)(834, 878)(879, 1034)(880, 1036)(881, 963)(882, 1038)(883, 938)(884, 1040)(885, 1042)(886, 1043)(887, 922)(888, 1046)(889, 1048)(890, 1050)(891, 1052)(892, 1054)(893, 990)(894, 1057)(895, 974)(896, 1059)(897, 924)(898, 1061)(899, 1063)(900, 1064)(901, 960)(902, 1066)(903, 1068)(904, 1069)(905, 927)(906, 1072)(907, 1074)(908, 1076)(909, 956)(910, 1079)(911, 985)(912, 1081)(913, 918)(914, 1083)(915, 1086)(916, 1089)(917, 1092)(919, 1098)(920, 1102)(921, 1051)(923, 1111)(925, 1116)(926, 1073)(928, 1122)(929, 1005)(930, 1128)(931, 1130)(932, 1134)(933, 983)(934, 1138)(935, 1141)(936, 1142)(937, 1095)(939, 1145)(940, 1148)(941, 1152)(942, 950)(943, 1156)(944, 1147)(945, 1161)(946, 972)(947, 1165)(948, 1167)(949, 1171)(951, 1176)(952, 1166)(953, 1143)(954, 1179)(955, 1181)(957, 1184)(958, 1185)(959, 1101)(961, 1187)(962, 1105)(964, 1191)(965, 1108)(966, 1123)(967, 1110)(968, 1021)(969, 1200)(970, 1201)(971, 1205)(973, 1208)(975, 1139)(976, 1117)(977, 1212)(978, 1214)(979, 1215)(980, 1216)(981, 1217)(982, 1220)(984, 1223)(986, 1157)(987, 1140)(988, 1226)(989, 1193)(991, 1230)(992, 1231)(993, 1232)(994, 1221)(995, 1227)(996, 1112)(997, 1129)(998, 1115)(999, 1218)(1000, 1237)(1001, 1203)(1002, 1206)(1003, 1238)(1004, 1219)(1006, 1240)(1007, 1090)(1008, 1177)(1009, 1242)(1010, 1124)(1011, 1246)(1012, 1204)(1013, 1120)(1014, 1113)(1015, 1229)(1016, 1249)(1017, 1127)(1018, 1183)(1019, 1250)(1020, 1133)(1022, 1195)(1023, 1058)(1024, 1254)(1025, 1158)(1026, 1245)(1027, 1248)(1028, 1137)(1029, 1198)(1030, 1233)(1031, 1164)(1032, 1196)(1033, 1067)(1035, 1252)(1037, 1172)(1039, 1180)(1041, 1097)(1044, 1168)(1045, 1265)(1047, 1267)(1049, 1169)(1053, 1271)(1055, 1084)(1056, 1210)(1060, 1173)(1062, 1273)(1065, 1213)(1070, 1202)(1071, 1259)(1075, 1279)(1077, 1087)(1078, 1224)(1080, 1260)(1082, 1170)(1085, 1281)(1088, 1282)(1091, 1283)(1093, 1125)(1094, 1264)(1096, 1243)(1099, 1106)(1100, 1277)(1103, 1118)(1104, 1255)(1107, 1275)(1109, 1131)(1114, 1236)(1119, 1234)(1121, 1149)(1126, 1262)(1132, 1211)(1135, 1188)(1136, 1288)(1144, 1286)(1146, 1162)(1150, 1225)(1151, 1257)(1153, 1192)(1154, 1284)(1155, 1266)(1159, 1178)(1160, 1251)(1163, 1287)(1174, 1280)(1175, 1274)(1182, 1294)(1186, 1289)(1189, 1292)(1190, 1199)(1194, 1268)(1197, 1291)(1207, 1241)(1209, 1261)(1222, 1272)(1228, 1293)(1235, 1258)(1239, 1295)(1244, 1290)(1247, 1285)(1253, 1278)(1256, 1276)(1263, 1269)(1270, 1296)
	L = (1, 649)(2, 650)(3, 651)(4, 652)(5, 653)(6, 654)(7, 655)(8, 656)(9, 657)(10, 658)(11, 659)(12, 660)(13, 661)(14, 662)(15, 663)(16, 664)(17, 665)(18, 666)(19, 667)(20, 668)(21, 669)(22, 670)(23, 671)(24, 672)(25, 673)(26, 674)(27, 675)(28, 676)(29, 677)(30, 678)(31, 679)(32, 680)(33, 681)(34, 682)(35, 683)(36, 684)(37, 685)(38, 686)(39, 687)(40, 688)(41, 689)(42, 690)(43, 691)(44, 692)(45, 693)(46, 694)(47, 695)(48, 696)(49, 697)(50, 698)(51, 699)(52, 700)(53, 701)(54, 702)(55, 703)(56, 704)(57, 705)(58, 706)(59, 707)(60, 708)(61, 709)(62, 710)(63, 711)(64, 712)(65, 713)(66, 714)(67, 715)(68, 716)(69, 717)(70, 718)(71, 719)(72, 720)(73, 721)(74, 722)(75, 723)(76, 724)(77, 725)(78, 726)(79, 727)(80, 728)(81, 729)(82, 730)(83, 731)(84, 732)(85, 733)(86, 734)(87, 735)(88, 736)(89, 737)(90, 738)(91, 739)(92, 740)(93, 741)(94, 742)(95, 743)(96, 744)(97, 745)(98, 746)(99, 747)(100, 748)(101, 749)(102, 750)(103, 751)(104, 752)(105, 753)(106, 754)(107, 755)(108, 756)(109, 757)(110, 758)(111, 759)(112, 760)(113, 761)(114, 762)(115, 763)(116, 764)(117, 765)(118, 766)(119, 767)(120, 768)(121, 769)(122, 770)(123, 771)(124, 772)(125, 773)(126, 774)(127, 775)(128, 776)(129, 777)(130, 778)(131, 779)(132, 780)(133, 781)(134, 782)(135, 783)(136, 784)(137, 785)(138, 786)(139, 787)(140, 788)(141, 789)(142, 790)(143, 791)(144, 792)(145, 793)(146, 794)(147, 795)(148, 796)(149, 797)(150, 798)(151, 799)(152, 800)(153, 801)(154, 802)(155, 803)(156, 804)(157, 805)(158, 806)(159, 807)(160, 808)(161, 809)(162, 810)(163, 811)(164, 812)(165, 813)(166, 814)(167, 815)(168, 816)(169, 817)(170, 818)(171, 819)(172, 820)(173, 821)(174, 822)(175, 823)(176, 824)(177, 825)(178, 826)(179, 827)(180, 828)(181, 829)(182, 830)(183, 831)(184, 832)(185, 833)(186, 834)(187, 835)(188, 836)(189, 837)(190, 838)(191, 839)(192, 840)(193, 841)(194, 842)(195, 843)(196, 844)(197, 845)(198, 846)(199, 847)(200, 848)(201, 849)(202, 850)(203, 851)(204, 852)(205, 853)(206, 854)(207, 855)(208, 856)(209, 857)(210, 858)(211, 859)(212, 860)(213, 861)(214, 862)(215, 863)(216, 864)(217, 865)(218, 866)(219, 867)(220, 868)(221, 869)(222, 870)(223, 871)(224, 872)(225, 873)(226, 874)(227, 875)(228, 876)(229, 877)(230, 878)(231, 879)(232, 880)(233, 881)(234, 882)(235, 883)(236, 884)(237, 885)(238, 886)(239, 887)(240, 888)(241, 889)(242, 890)(243, 891)(244, 892)(245, 893)(246, 894)(247, 895)(248, 896)(249, 897)(250, 898)(251, 899)(252, 900)(253, 901)(254, 902)(255, 903)(256, 904)(257, 905)(258, 906)(259, 907)(260, 908)(261, 909)(262, 910)(263, 911)(264, 912)(265, 913)(266, 914)(267, 915)(268, 916)(269, 917)(270, 918)(271, 919)(272, 920)(273, 921)(274, 922)(275, 923)(276, 924)(277, 925)(278, 926)(279, 927)(280, 928)(281, 929)(282, 930)(283, 931)(284, 932)(285, 933)(286, 934)(287, 935)(288, 936)(289, 937)(290, 938)(291, 939)(292, 940)(293, 941)(294, 942)(295, 943)(296, 944)(297, 945)(298, 946)(299, 947)(300, 948)(301, 949)(302, 950)(303, 951)(304, 952)(305, 953)(306, 954)(307, 955)(308, 956)(309, 957)(310, 958)(311, 959)(312, 960)(313, 961)(314, 962)(315, 963)(316, 964)(317, 965)(318, 966)(319, 967)(320, 968)(321, 969)(322, 970)(323, 971)(324, 972)(325, 973)(326, 974)(327, 975)(328, 976)(329, 977)(330, 978)(331, 979)(332, 980)(333, 981)(334, 982)(335, 983)(336, 984)(337, 985)(338, 986)(339, 987)(340, 988)(341, 989)(342, 990)(343, 991)(344, 992)(345, 993)(346, 994)(347, 995)(348, 996)(349, 997)(350, 998)(351, 999)(352, 1000)(353, 1001)(354, 1002)(355, 1003)(356, 1004)(357, 1005)(358, 1006)(359, 1007)(360, 1008)(361, 1009)(362, 1010)(363, 1011)(364, 1012)(365, 1013)(366, 1014)(367, 1015)(368, 1016)(369, 1017)(370, 1018)(371, 1019)(372, 1020)(373, 1021)(374, 1022)(375, 1023)(376, 1024)(377, 1025)(378, 1026)(379, 1027)(380, 1028)(381, 1029)(382, 1030)(383, 1031)(384, 1032)(385, 1033)(386, 1034)(387, 1035)(388, 1036)(389, 1037)(390, 1038)(391, 1039)(392, 1040)(393, 1041)(394, 1042)(395, 1043)(396, 1044)(397, 1045)(398, 1046)(399, 1047)(400, 1048)(401, 1049)(402, 1050)(403, 1051)(404, 1052)(405, 1053)(406, 1054)(407, 1055)(408, 1056)(409, 1057)(410, 1058)(411, 1059)(412, 1060)(413, 1061)(414, 1062)(415, 1063)(416, 1064)(417, 1065)(418, 1066)(419, 1067)(420, 1068)(421, 1069)(422, 1070)(423, 1071)(424, 1072)(425, 1073)(426, 1074)(427, 1075)(428, 1076)(429, 1077)(430, 1078)(431, 1079)(432, 1080)(433, 1081)(434, 1082)(435, 1083)(436, 1084)(437, 1085)(438, 1086)(439, 1087)(440, 1088)(441, 1089)(442, 1090)(443, 1091)(444, 1092)(445, 1093)(446, 1094)(447, 1095)(448, 1096)(449, 1097)(450, 1098)(451, 1099)(452, 1100)(453, 1101)(454, 1102)(455, 1103)(456, 1104)(457, 1105)(458, 1106)(459, 1107)(460, 1108)(461, 1109)(462, 1110)(463, 1111)(464, 1112)(465, 1113)(466, 1114)(467, 1115)(468, 1116)(469, 1117)(470, 1118)(471, 1119)(472, 1120)(473, 1121)(474, 1122)(475, 1123)(476, 1124)(477, 1125)(478, 1126)(479, 1127)(480, 1128)(481, 1129)(482, 1130)(483, 1131)(484, 1132)(485, 1133)(486, 1134)(487, 1135)(488, 1136)(489, 1137)(490, 1138)(491, 1139)(492, 1140)(493, 1141)(494, 1142)(495, 1143)(496, 1144)(497, 1145)(498, 1146)(499, 1147)(500, 1148)(501, 1149)(502, 1150)(503, 1151)(504, 1152)(505, 1153)(506, 1154)(507, 1155)(508, 1156)(509, 1157)(510, 1158)(511, 1159)(512, 1160)(513, 1161)(514, 1162)(515, 1163)(516, 1164)(517, 1165)(518, 1166)(519, 1167)(520, 1168)(521, 1169)(522, 1170)(523, 1171)(524, 1172)(525, 1173)(526, 1174)(527, 1175)(528, 1176)(529, 1177)(530, 1178)(531, 1179)(532, 1180)(533, 1181)(534, 1182)(535, 1183)(536, 1184)(537, 1185)(538, 1186)(539, 1187)(540, 1188)(541, 1189)(542, 1190)(543, 1191)(544, 1192)(545, 1193)(546, 1194)(547, 1195)(548, 1196)(549, 1197)(550, 1198)(551, 1199)(552, 1200)(553, 1201)(554, 1202)(555, 1203)(556, 1204)(557, 1205)(558, 1206)(559, 1207)(560, 1208)(561, 1209)(562, 1210)(563, 1211)(564, 1212)(565, 1213)(566, 1214)(567, 1215)(568, 1216)(569, 1217)(570, 1218)(571, 1219)(572, 1220)(573, 1221)(574, 1222)(575, 1223)(576, 1224)(577, 1225)(578, 1226)(579, 1227)(580, 1228)(581, 1229)(582, 1230)(583, 1231)(584, 1232)(585, 1233)(586, 1234)(587, 1235)(588, 1236)(589, 1237)(590, 1238)(591, 1239)(592, 1240)(593, 1241)(594, 1242)(595, 1243)(596, 1244)(597, 1245)(598, 1246)(599, 1247)(600, 1248)(601, 1249)(602, 1250)(603, 1251)(604, 1252)(605, 1253)(606, 1254)(607, 1255)(608, 1256)(609, 1257)(610, 1258)(611, 1259)(612, 1260)(613, 1261)(614, 1262)(615, 1263)(616, 1264)(617, 1265)(618, 1266)(619, 1267)(620, 1268)(621, 1269)(622, 1270)(623, 1271)(624, 1272)(625, 1273)(626, 1274)(627, 1275)(628, 1276)(629, 1277)(630, 1278)(631, 1279)(632, 1280)(633, 1281)(634, 1282)(635, 1283)(636, 1284)(637, 1285)(638, 1286)(639, 1287)(640, 1288)(641, 1289)(642, 1290)(643, 1291)(644, 1292)(645, 1293)(646, 1294)(647, 1295)(648, 1296)
	local type(s) :: { ( 24, 24 ), ( 24^3 ) }
Outer automorphisms :: reflexible
Dual of E28.3351
Transitivity :: ET+
Graph:: simple bipartite
	v = 540 e = 648 f = 54
	degree seq :: [ 2^324, 3^216 ]

E28.3348 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 12})
Quotient :: edge
Aut^+ = $<648, 703>$ (small group id <648, 703>)
Aut   = $<1296, 3492>$ (small group id <1296, 3492>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T1 * T2)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, (F * T1)^2, T2 * T1 * T2^3 * T1 * T2 * T1^-1 * T2 * T1^-1, T2^12, T2^3 * T1^-1 * T2^-2 * T1 * T2^4 * T1^-1 * T2 * T1^-1, T2 * T1^-1 * T2^-3 * T1 * T2^2 * T1^-1 * T2^-4 * T1^-1, (T2^5 * T1^-1 * T2^3 * T1^-1)^2, (T2^4 * T1^-1 * T2^2 * T1^-1 * T2^2 * T1^-1)^2 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 9, 19, 37, 67, 117, 86, 48, 26, 13, 5)(2, 6, 14, 27, 50, 89, 154, 102, 58, 32, 16, 7)(4, 11, 22, 41, 74, 129, 186, 108, 62, 34, 17, 8)(10, 21, 40, 71, 124, 206, 277, 190, 112, 64, 35, 18)(12, 23, 43, 77, 134, 216, 306, 222, 140, 80, 44, 24)(15, 29, 53, 93, 161, 245, 339, 250, 167, 96, 54, 30)(20, 39, 70, 121, 202, 290, 379, 279, 193, 114, 65, 36)(25, 45, 81, 141, 169, 251, 346, 319, 227, 144, 82, 46)(28, 52, 92, 158, 242, 336, 278, 191, 113, 151, 87, 49)(31, 55, 97, 168, 178, 261, 357, 350, 255, 171, 98, 56)(33, 59, 103, 177, 142, 223, 315, 360, 265, 180, 104, 60)(38, 69, 120, 199, 286, 388, 451, 345, 249, 166, 115, 66)(42, 76, 132, 214, 303, 406, 327, 233, 150, 192, 127, 73)(47, 83, 145, 162, 246, 340, 445, 430, 323, 229, 146, 84)(51, 91, 157, 239, 333, 439, 374, 275, 189, 111, 152, 88)(57, 99, 172, 125, 207, 294, 396, 460, 354, 257, 173, 100)(61, 105, 181, 135, 217, 308, 412, 470, 364, 267, 182, 106)(63, 109, 187, 133, 78, 136, 218, 309, 372, 274, 188, 110)(68, 119, 198, 283, 384, 486, 555, 466, 359, 264, 194, 116)(72, 126, 208, 295, 399, 344, 248, 165, 95, 164, 205, 123)(75, 131, 213, 300, 385, 487, 420, 313, 221, 139, 209, 128)(79, 137, 219, 160, 94, 163, 247, 341, 418, 312, 220, 138)(85, 147, 230, 243, 337, 442, 534, 459, 353, 325, 231, 148)(90, 156, 238, 331, 287, 389, 489, 425, 318, 226, 234, 153)(101, 174, 258, 304, 407, 507, 558, 469, 363, 355, 259, 175)(107, 183, 268, 203, 291, 392, 493, 429, 322, 365, 269, 184)(118, 197, 282, 381, 484, 568, 617, 561, 473, 371, 280, 195)(122, 204, 292, 393, 496, 465, 358, 263, 179, 262, 289, 201)(130, 212, 299, 403, 334, 440, 531, 455, 349, 254, 297, 210)(143, 224, 316, 241, 159, 244, 338, 443, 524, 424, 317, 225)(149, 196, 281, 380, 482, 567, 621, 592, 519, 434, 326, 232)(155, 237, 330, 437, 513, 585, 630, 589, 516, 417, 328, 235)(170, 252, 347, 302, 215, 305, 408, 508, 547, 454, 348, 253)(176, 236, 329, 436, 530, 597, 637, 607, 542, 462, 356, 260)(185, 270, 366, 400, 502, 580, 618, 564, 476, 471, 367, 271)(200, 288, 390, 490, 571, 560, 472, 370, 273, 369, 387, 285)(211, 298, 402, 504, 538, 602, 641, 606, 541, 450, 368, 272)(228, 320, 427, 413, 310, 414, 514, 586, 549, 527, 428, 321)(240, 335, 441, 532, 491, 573, 515, 416, 311, 415, 438, 332)(256, 351, 457, 446, 342, 447, 539, 603, 556, 550, 458, 352)(266, 361, 467, 398, 296, 401, 503, 581, 526, 557, 468, 362)(276, 375, 477, 497, 576, 626, 596, 529, 435, 461, 478, 376)(284, 386, 488, 569, 622, 620, 565, 480, 378, 433, 485, 383)(293, 395, 499, 426, 452, 543, 608, 644, 613, 554, 479, 377)(301, 405, 506, 572, 533, 599, 540, 449, 343, 448, 505, 404)(307, 411, 512, 456, 463, 551, 611, 634, 594, 523, 510, 409)(314, 410, 511, 536, 600, 639, 616, 566, 481, 391, 492, 421)(324, 431, 483, 382, 422, 520, 593, 633, 609, 546, 528, 432)(373, 474, 562, 495, 394, 498, 577, 522, 423, 521, 563, 475)(397, 501, 579, 583, 509, 584, 612, 553, 464, 552, 578, 500)(419, 517, 590, 535, 444, 537, 601, 545, 453, 544, 591, 518)(494, 575, 625, 628, 582, 629, 646, 615, 559, 614, 624, 574)(525, 570, 623, 631, 587, 627, 647, 632, 588, 619, 635, 595)(548, 598, 638, 642, 604, 640, 648, 643, 605, 636, 645, 610)(649, 650, 652)(651, 656, 658)(653, 660, 654)(655, 663, 659)(657, 666, 668)(661, 673, 671)(662, 672, 676)(664, 679, 677)(665, 681, 669)(667, 684, 686)(670, 678, 690)(674, 695, 693)(675, 697, 699)(680, 705, 703)(682, 709, 707)(683, 711, 687)(685, 714, 716)(688, 708, 720)(689, 721, 723)(691, 694, 726)(692, 727, 700)(696, 733, 731)(698, 736, 738)(701, 704, 742)(702, 743, 724)(706, 749, 747)(710, 755, 753)(712, 759, 757)(713, 761, 717)(715, 764, 766)(718, 758, 770)(719, 771, 773)(722, 776, 778)(725, 781, 783)(728, 787, 785)(729, 732, 790)(730, 791, 784)(734, 797, 795)(735, 798, 739)(737, 801, 803)(740, 786, 807)(741, 808, 810)(744, 814, 812)(745, 748, 817)(746, 818, 811)(750, 824, 822)(751, 754, 826)(752, 827, 774)(756, 833, 831)(760, 804, 800)(762, 840, 799)(763, 815, 767)(765, 843, 844)(768, 839, 848)(769, 849, 851)(772, 820, 823)(775, 841, 779)(777, 858, 859)(780, 813, 863)(782, 829, 832)(788, 860, 857)(789, 825, 816)(792, 874, 872)(793, 796, 809)(794, 876, 871)(802, 883, 884)(805, 881, 888)(806, 889, 891)(819, 902, 900)(821, 904, 899)(828, 912, 910)(830, 914, 909)(834, 920, 918)(835, 837, 865)(836, 921, 852)(838, 924, 886)(842, 913, 845)(846, 898, 932)(847, 933, 935)(850, 916, 919)(853, 897, 855)(854, 907, 941)(856, 911, 944)(861, 927, 949)(862, 950, 952)(864, 917, 955)(866, 873, 958)(867, 869, 894)(868, 959, 892)(870, 962, 947)(875, 885, 882)(877, 970, 968)(878, 880, 890)(879, 972, 893)(887, 980, 982)(895, 901, 990)(896, 991, 953)(903, 946, 945)(905, 1001, 999)(906, 908, 951)(915, 1011, 1009)(922, 1019, 1017)(923, 1021, 956)(925, 1025, 1023)(926, 1026, 936)(928, 1020, 929)(930, 1008, 1030)(931, 1031, 1033)(934, 979, 1024)(937, 1007, 939)(938, 1015, 1039)(940, 1018, 1042)(942, 993, 1045)(943, 1046, 1048)(948, 1052, 1032)(954, 1057, 1058)(957, 1061, 1028)(960, 1065, 1063)(961, 1067, 988)(963, 969, 1070)(964, 966, 985)(965, 1071, 1062)(967, 1074, 978)(971, 1059, 1013)(973, 1002, 1079)(974, 1081, 984)(975, 1083, 983)(976, 1066, 977)(981, 1051, 1069)(986, 1064, 1092)(987, 1080, 1034)(989, 1094, 1084)(992, 1098, 1096)(994, 1000, 1100)(995, 997, 1055)(996, 1101, 1095)(998, 1104, 1050)(1003, 1012, 1043)(1004, 1109, 1054)(1005, 1010, 1111)(1006, 1112, 1049)(1014, 1016, 1047)(1022, 1124, 1122)(1027, 1129, 1053)(1029, 1131, 1108)(1035, 1121, 1037)(1036, 1126, 1110)(1038, 1128, 1139)(1040, 1114, 1142)(1041, 1143, 1145)(1044, 1148, 1132)(1056, 1097, 1157)(1060, 1123, 1161)(1068, 1167, 1165)(1072, 1171, 1169)(1073, 1173, 1090)(1075, 1077, 1130)(1076, 1174, 1168)(1078, 1152, 1160)(1082, 1135, 1133)(1085, 1147, 1118)(1086, 1164, 1088)(1087, 1140, 1119)(1089, 1177, 1181)(1091, 1183, 1184)(1093, 1166, 1186)(1099, 1190, 1149)(1102, 1194, 1192)(1103, 1196, 1155)(1105, 1107, 1178)(1106, 1197, 1191)(1113, 1202, 1200)(1115, 1117, 1150)(1116, 1204, 1199)(1120, 1207, 1146)(1125, 1127, 1144)(1134, 1153, 1189)(1136, 1176, 1195)(1137, 1209, 1218)(1138, 1180, 1220)(1141, 1222, 1215)(1151, 1201, 1230)(1154, 1214, 1219)(1156, 1231, 1217)(1158, 1172, 1159)(1162, 1170, 1235)(1163, 1236, 1185)(1175, 1198, 1205)(1179, 1237, 1246)(1182, 1243, 1245)(1187, 1193, 1252)(1188, 1253, 1232)(1203, 1254, 1223)(1206, 1258, 1228)(1208, 1264, 1262)(1210, 1212, 1224)(1211, 1242, 1233)(1213, 1267, 1221)(1216, 1226, 1261)(1225, 1263, 1275)(1227, 1255, 1270)(1229, 1276, 1241)(1234, 1279, 1256)(1238, 1240, 1248)(1239, 1257, 1250)(1244, 1284, 1247)(1249, 1280, 1288)(1251, 1290, 1259)(1260, 1291, 1277)(1265, 1292, 1271)(1266, 1293, 1274)(1268, 1285, 1283)(1269, 1272, 1287)(1273, 1289, 1281)(1278, 1282, 1286)(1294, 1296, 1295)
	L = (1, 649)(2, 650)(3, 651)(4, 652)(5, 653)(6, 654)(7, 655)(8, 656)(9, 657)(10, 658)(11, 659)(12, 660)(13, 661)(14, 662)(15, 663)(16, 664)(17, 665)(18, 666)(19, 667)(20, 668)(21, 669)(22, 670)(23, 671)(24, 672)(25, 673)(26, 674)(27, 675)(28, 676)(29, 677)(30, 678)(31, 679)(32, 680)(33, 681)(34, 682)(35, 683)(36, 684)(37, 685)(38, 686)(39, 687)(40, 688)(41, 689)(42, 690)(43, 691)(44, 692)(45, 693)(46, 694)(47, 695)(48, 696)(49, 697)(50, 698)(51, 699)(52, 700)(53, 701)(54, 702)(55, 703)(56, 704)(57, 705)(58, 706)(59, 707)(60, 708)(61, 709)(62, 710)(63, 711)(64, 712)(65, 713)(66, 714)(67, 715)(68, 716)(69, 717)(70, 718)(71, 719)(72, 720)(73, 721)(74, 722)(75, 723)(76, 724)(77, 725)(78, 726)(79, 727)(80, 728)(81, 729)(82, 730)(83, 731)(84, 732)(85, 733)(86, 734)(87, 735)(88, 736)(89, 737)(90, 738)(91, 739)(92, 740)(93, 741)(94, 742)(95, 743)(96, 744)(97, 745)(98, 746)(99, 747)(100, 748)(101, 749)(102, 750)(103, 751)(104, 752)(105, 753)(106, 754)(107, 755)(108, 756)(109, 757)(110, 758)(111, 759)(112, 760)(113, 761)(114, 762)(115, 763)(116, 764)(117, 765)(118, 766)(119, 767)(120, 768)(121, 769)(122, 770)(123, 771)(124, 772)(125, 773)(126, 774)(127, 775)(128, 776)(129, 777)(130, 778)(131, 779)(132, 780)(133, 781)(134, 782)(135, 783)(136, 784)(137, 785)(138, 786)(139, 787)(140, 788)(141, 789)(142, 790)(143, 791)(144, 792)(145, 793)(146, 794)(147, 795)(148, 796)(149, 797)(150, 798)(151, 799)(152, 800)(153, 801)(154, 802)(155, 803)(156, 804)(157, 805)(158, 806)(159, 807)(160, 808)(161, 809)(162, 810)(163, 811)(164, 812)(165, 813)(166, 814)(167, 815)(168, 816)(169, 817)(170, 818)(171, 819)(172, 820)(173, 821)(174, 822)(175, 823)(176, 824)(177, 825)(178, 826)(179, 827)(180, 828)(181, 829)(182, 830)(183, 831)(184, 832)(185, 833)(186, 834)(187, 835)(188, 836)(189, 837)(190, 838)(191, 839)(192, 840)(193, 841)(194, 842)(195, 843)(196, 844)(197, 845)(198, 846)(199, 847)(200, 848)(201, 849)(202, 850)(203, 851)(204, 852)(205, 853)(206, 854)(207, 855)(208, 856)(209, 857)(210, 858)(211, 859)(212, 860)(213, 861)(214, 862)(215, 863)(216, 864)(217, 865)(218, 866)(219, 867)(220, 868)(221, 869)(222, 870)(223, 871)(224, 872)(225, 873)(226, 874)(227, 875)(228, 876)(229, 877)(230, 878)(231, 879)(232, 880)(233, 881)(234, 882)(235, 883)(236, 884)(237, 885)(238, 886)(239, 887)(240, 888)(241, 889)(242, 890)(243, 891)(244, 892)(245, 893)(246, 894)(247, 895)(248, 896)(249, 897)(250, 898)(251, 899)(252, 900)(253, 901)(254, 902)(255, 903)(256, 904)(257, 905)(258, 906)(259, 907)(260, 908)(261, 909)(262, 910)(263, 911)(264, 912)(265, 913)(266, 914)(267, 915)(268, 916)(269, 917)(270, 918)(271, 919)(272, 920)(273, 921)(274, 922)(275, 923)(276, 924)(277, 925)(278, 926)(279, 927)(280, 928)(281, 929)(282, 930)(283, 931)(284, 932)(285, 933)(286, 934)(287, 935)(288, 936)(289, 937)(290, 938)(291, 939)(292, 940)(293, 941)(294, 942)(295, 943)(296, 944)(297, 945)(298, 946)(299, 947)(300, 948)(301, 949)(302, 950)(303, 951)(304, 952)(305, 953)(306, 954)(307, 955)(308, 956)(309, 957)(310, 958)(311, 959)(312, 960)(313, 961)(314, 962)(315, 963)(316, 964)(317, 965)(318, 966)(319, 967)(320, 968)(321, 969)(322, 970)(323, 971)(324, 972)(325, 973)(326, 974)(327, 975)(328, 976)(329, 977)(330, 978)(331, 979)(332, 980)(333, 981)(334, 982)(335, 983)(336, 984)(337, 985)(338, 986)(339, 987)(340, 988)(341, 989)(342, 990)(343, 991)(344, 992)(345, 993)(346, 994)(347, 995)(348, 996)(349, 997)(350, 998)(351, 999)(352, 1000)(353, 1001)(354, 1002)(355, 1003)(356, 1004)(357, 1005)(358, 1006)(359, 1007)(360, 1008)(361, 1009)(362, 1010)(363, 1011)(364, 1012)(365, 1013)(366, 1014)(367, 1015)(368, 1016)(369, 1017)(370, 1018)(371, 1019)(372, 1020)(373, 1021)(374, 1022)(375, 1023)(376, 1024)(377, 1025)(378, 1026)(379, 1027)(380, 1028)(381, 1029)(382, 1030)(383, 1031)(384, 1032)(385, 1033)(386, 1034)(387, 1035)(388, 1036)(389, 1037)(390, 1038)(391, 1039)(392, 1040)(393, 1041)(394, 1042)(395, 1043)(396, 1044)(397, 1045)(398, 1046)(399, 1047)(400, 1048)(401, 1049)(402, 1050)(403, 1051)(404, 1052)(405, 1053)(406, 1054)(407, 1055)(408, 1056)(409, 1057)(410, 1058)(411, 1059)(412, 1060)(413, 1061)(414, 1062)(415, 1063)(416, 1064)(417, 1065)(418, 1066)(419, 1067)(420, 1068)(421, 1069)(422, 1070)(423, 1071)(424, 1072)(425, 1073)(426, 1074)(427, 1075)(428, 1076)(429, 1077)(430, 1078)(431, 1079)(432, 1080)(433, 1081)(434, 1082)(435, 1083)(436, 1084)(437, 1085)(438, 1086)(439, 1087)(440, 1088)(441, 1089)(442, 1090)(443, 1091)(444, 1092)(445, 1093)(446, 1094)(447, 1095)(448, 1096)(449, 1097)(450, 1098)(451, 1099)(452, 1100)(453, 1101)(454, 1102)(455, 1103)(456, 1104)(457, 1105)(458, 1106)(459, 1107)(460, 1108)(461, 1109)(462, 1110)(463, 1111)(464, 1112)(465, 1113)(466, 1114)(467, 1115)(468, 1116)(469, 1117)(470, 1118)(471, 1119)(472, 1120)(473, 1121)(474, 1122)(475, 1123)(476, 1124)(477, 1125)(478, 1126)(479, 1127)(480, 1128)(481, 1129)(482, 1130)(483, 1131)(484, 1132)(485, 1133)(486, 1134)(487, 1135)(488, 1136)(489, 1137)(490, 1138)(491, 1139)(492, 1140)(493, 1141)(494, 1142)(495, 1143)(496, 1144)(497, 1145)(498, 1146)(499, 1147)(500, 1148)(501, 1149)(502, 1150)(503, 1151)(504, 1152)(505, 1153)(506, 1154)(507, 1155)(508, 1156)(509, 1157)(510, 1158)(511, 1159)(512, 1160)(513, 1161)(514, 1162)(515, 1163)(516, 1164)(517, 1165)(518, 1166)(519, 1167)(520, 1168)(521, 1169)(522, 1170)(523, 1171)(524, 1172)(525, 1173)(526, 1174)(527, 1175)(528, 1176)(529, 1177)(530, 1178)(531, 1179)(532, 1180)(533, 1181)(534, 1182)(535, 1183)(536, 1184)(537, 1185)(538, 1186)(539, 1187)(540, 1188)(541, 1189)(542, 1190)(543, 1191)(544, 1192)(545, 1193)(546, 1194)(547, 1195)(548, 1196)(549, 1197)(550, 1198)(551, 1199)(552, 1200)(553, 1201)(554, 1202)(555, 1203)(556, 1204)(557, 1205)(558, 1206)(559, 1207)(560, 1208)(561, 1209)(562, 1210)(563, 1211)(564, 1212)(565, 1213)(566, 1214)(567, 1215)(568, 1216)(569, 1217)(570, 1218)(571, 1219)(572, 1220)(573, 1221)(574, 1222)(575, 1223)(576, 1224)(577, 1225)(578, 1226)(579, 1227)(580, 1228)(581, 1229)(582, 1230)(583, 1231)(584, 1232)(585, 1233)(586, 1234)(587, 1235)(588, 1236)(589, 1237)(590, 1238)(591, 1239)(592, 1240)(593, 1241)(594, 1242)(595, 1243)(596, 1244)(597, 1245)(598, 1246)(599, 1247)(600, 1248)(601, 1249)(602, 1250)(603, 1251)(604, 1252)(605, 1253)(606, 1254)(607, 1255)(608, 1256)(609, 1257)(610, 1258)(611, 1259)(612, 1260)(613, 1261)(614, 1262)(615, 1263)(616, 1264)(617, 1265)(618, 1266)(619, 1267)(620, 1268)(621, 1269)(622, 1270)(623, 1271)(624, 1272)(625, 1273)(626, 1274)(627, 1275)(628, 1276)(629, 1277)(630, 1278)(631, 1279)(632, 1280)(633, 1281)(634, 1282)(635, 1283)(636, 1284)(637, 1285)(638, 1286)(639, 1287)(640, 1288)(641, 1289)(642, 1290)(643, 1291)(644, 1292)(645, 1293)(646, 1294)(647, 1295)(648, 1296)
	local type(s) :: { ( 4^3 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E28.3352
Transitivity :: ET+
Graph:: simple bipartite
	v = 270 e = 648 f = 324
	degree seq :: [ 3^216, 12^54 ]

E28.3349 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 12})
Quotient :: edge
Aut^+ = $<648, 703>$ (small group id <648, 703>)
Aut   = $<1296, 3492>$ (small group id <1296, 3492>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^3, T1^12, T1^-1 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-3 * T2, (T1^-2 * T2 * T1^2 * T2 * T1^-1)^2 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 13)(10, 19)(11, 22)(14, 23)(15, 28)(17, 30)(18, 33)(20, 35)(21, 38)(24, 39)(25, 44)(26, 45)(27, 48)(29, 49)(31, 53)(32, 56)(34, 59)(36, 61)(37, 64)(40, 65)(41, 70)(42, 71)(43, 74)(46, 77)(47, 80)(50, 81)(51, 85)(52, 88)(54, 90)(55, 93)(57, 94)(58, 98)(60, 101)(62, 103)(63, 104)(66, 105)(67, 110)(68, 111)(69, 114)(72, 117)(73, 120)(75, 121)(76, 125)(78, 127)(79, 130)(82, 131)(83, 135)(84, 136)(86, 138)(87, 141)(89, 144)(91, 146)(92, 148)(95, 149)(96, 151)(97, 143)(99, 154)(100, 140)(102, 159)(106, 161)(107, 166)(108, 167)(109, 170)(112, 172)(113, 175)(115, 176)(116, 179)(118, 180)(119, 183)(122, 184)(123, 187)(124, 188)(126, 190)(128, 192)(129, 193)(132, 194)(133, 198)(134, 200)(137, 203)(139, 204)(142, 207)(145, 210)(147, 212)(150, 216)(152, 196)(153, 209)(155, 221)(156, 202)(157, 206)(158, 199)(160, 162)(163, 231)(164, 232)(165, 235)(168, 237)(169, 240)(171, 241)(173, 244)(174, 247)(177, 248)(178, 250)(181, 253)(182, 254)(185, 255)(186, 258)(189, 259)(191, 261)(195, 263)(197, 269)(201, 272)(205, 277)(208, 280)(211, 264)(213, 284)(214, 251)(215, 289)(217, 267)(218, 265)(219, 292)(220, 294)(222, 286)(223, 275)(224, 298)(225, 273)(226, 271)(227, 288)(228, 304)(229, 305)(230, 308)(233, 310)(234, 313)(236, 314)(238, 317)(239, 320)(242, 321)(243, 323)(245, 325)(246, 326)(249, 329)(252, 331)(256, 333)(257, 337)(260, 340)(262, 334)(266, 346)(268, 350)(270, 351)(274, 355)(276, 357)(278, 359)(279, 361)(281, 335)(282, 364)(283, 336)(285, 358)(287, 371)(290, 372)(291, 375)(293, 377)(295, 369)(296, 367)(297, 380)(299, 365)(300, 348)(301, 384)(302, 373)(303, 388)(306, 389)(307, 392)(309, 393)(311, 395)(312, 398)(315, 399)(316, 401)(318, 403)(319, 404)(322, 407)(324, 408)(327, 410)(328, 414)(330, 416)(332, 411)(338, 423)(339, 427)(341, 412)(342, 413)(343, 432)(344, 422)(345, 435)(347, 436)(349, 439)(352, 440)(353, 442)(354, 444)(356, 445)(360, 449)(362, 421)(363, 419)(366, 424)(368, 455)(370, 434)(374, 460)(376, 461)(378, 463)(379, 465)(381, 452)(382, 451)(383, 468)(385, 446)(386, 457)(387, 472)(390, 473)(391, 476)(394, 477)(396, 480)(397, 481)(400, 484)(402, 485)(405, 487)(406, 491)(409, 488)(415, 498)(417, 489)(418, 490)(420, 497)(425, 507)(426, 508)(428, 496)(429, 494)(430, 499)(431, 512)(433, 482)(437, 514)(438, 516)(441, 518)(443, 520)(447, 519)(448, 478)(450, 525)(453, 505)(454, 503)(456, 528)(458, 513)(459, 531)(462, 533)(464, 536)(466, 537)(467, 511)(469, 522)(470, 541)(471, 543)(474, 544)(475, 545)(479, 548)(483, 552)(486, 550)(492, 558)(493, 551)(495, 557)(500, 565)(501, 556)(502, 559)(504, 546)(506, 569)(509, 570)(510, 563)(515, 575)(517, 561)(521, 577)(523, 578)(524, 581)(526, 584)(527, 585)(529, 574)(530, 588)(532, 587)(534, 571)(535, 593)(538, 582)(539, 573)(540, 580)(542, 597)(547, 602)(549, 600)(553, 606)(554, 601)(555, 605)(560, 612)(562, 598)(564, 615)(566, 610)(567, 617)(568, 608)(572, 620)(576, 613)(579, 623)(583, 626)(586, 621)(589, 627)(590, 599)(591, 619)(592, 603)(594, 624)(595, 607)(596, 609)(604, 628)(611, 631)(614, 629)(616, 634)(618, 630)(622, 637)(625, 635)(632, 642)(633, 639)(636, 643)(638, 641)(640, 646)(644, 647)(645, 648)(649, 650, 653, 659, 669, 685, 711, 710, 684, 668, 658, 652)(651, 655, 663, 675, 695, 727, 777, 739, 702, 679, 665, 656)(654, 661, 673, 691, 721, 767, 830, 776, 726, 694, 674, 662)(657, 666, 680, 703, 740, 795, 853, 787, 734, 699, 677, 664)(660, 671, 689, 717, 761, 822, 894, 829, 766, 720, 690, 672)(667, 682, 706, 745, 801, 867, 939, 866, 800, 744, 705, 681)(670, 687, 715, 757, 817, 887, 967, 893, 821, 760, 716, 688)(676, 697, 731, 782, 847, 919, 964, 884, 814, 759, 732, 698)(678, 700, 735, 788, 854, 926, 957, 879, 815, 771, 723, 692)(683, 708, 748, 804, 871, 945, 1027, 944, 870, 803, 747, 707)(686, 713, 755, 813, 882, 960, 1045, 966, 886, 816, 756, 714)(693, 724, 772, 746, 802, 868, 941, 952, 880, 826, 763, 718)(696, 729, 781, 845, 916, 997, 1065, 978, 899, 827, 765, 730)(701, 737, 791, 836, 907, 987, 1074, 1011, 929, 856, 790, 736)(704, 742, 798, 863, 936, 953, 891, 819, 758, 719, 764, 743)(709, 750, 806, 873, 948, 1031, 1115, 1030, 947, 872, 805, 749)(712, 753, 811, 878, 955, 1039, 1123, 1044, 959, 881, 812, 754)(722, 769, 834, 905, 984, 1070, 1001, 918, 846, 784, 820, 770)(725, 774, 741, 797, 862, 935, 1018, 1077, 989, 908, 837, 773)(728, 779, 828, 900, 961, 1047, 1121, 1086, 996, 915, 844, 780)(733, 785, 850, 789, 855, 927, 1008, 1080, 994, 922, 849, 783)(738, 793, 823, 896, 965, 1050, 1120, 1100, 1013, 930, 857, 792)(751, 808, 875, 950, 1034, 1118, 1188, 1117, 1033, 949, 874, 807)(752, 809, 876, 951, 1035, 1119, 1190, 1122, 1038, 954, 877, 810)(762, 824, 897, 976, 1061, 1145, 1073, 986, 906, 835, 885, 825)(768, 832, 892, 972, 1040, 1125, 1094, 1004, 923, 851, 786, 833)(775, 839, 888, 969, 1043, 1127, 1105, 1017, 934, 861, 796, 838)(778, 842, 913, 993, 1082, 1161, 1222, 1163, 1085, 995, 914, 843)(794, 859, 931, 1014, 1101, 1175, 1211, 1144, 1060, 975, 895, 858)(799, 865, 921, 848, 920, 1002, 1091, 1167, 1103, 1022, 938, 864)(818, 889, 970, 1054, 1138, 1205, 1148, 1063, 977, 898, 958, 890)(831, 903, 852, 924, 998, 1088, 1162, 1215, 1153, 1069, 983, 904)(840, 910, 990, 1078, 1158, 1220, 1258, 1204, 1137, 1053, 968, 909)(841, 911, 991, 1079, 1159, 1221, 1252, 1198, 1129, 1081, 992, 912)(860, 932, 1015, 1102, 1156, 1218, 1267, 1234, 1177, 1104, 1016, 933)(869, 943, 1021, 937, 1020, 1107, 1178, 1235, 1181, 1112, 1026, 942)(883, 962, 1048, 1131, 1199, 1253, 1208, 1140, 1055, 971, 1037, 963)(901, 980, 1066, 1150, 1214, 1264, 1224, 1166, 1090, 1130, 1046, 979)(902, 981, 1067, 1151, 1113, 1185, 1242, 1248, 1193, 1152, 1068, 982)(917, 999, 1089, 1165, 1200, 1254, 1227, 1169, 1092, 1003, 1084, 1000)(925, 1006, 1095, 1171, 1228, 1257, 1203, 1136, 1052, 1135, 1087, 1005)(928, 1010, 1072, 985, 1071, 1154, 1216, 1250, 1229, 1174, 1098, 1009)(940, 1012, 1099, 1160, 1097, 1173, 1231, 1273, 1239, 1182, 1110, 1024)(946, 1029, 1036, 1025, 1111, 1183, 1240, 1272, 1230, 1172, 1096, 1007)(956, 1041, 1126, 1195, 1249, 1276, 1255, 1201, 1132, 1049, 1032, 1042)(973, 1057, 1141, 1209, 1261, 1280, 1266, 1217, 1155, 1194, 1124, 1056)(974, 1058, 1142, 1083, 1023, 1109, 1180, 1238, 1245, 1210, 1143, 1059)(988, 1076, 1147, 1062, 1146, 1212, 1262, 1241, 1184, 1219, 1157, 1075)(1019, 1064, 1149, 1207, 1139, 1206, 1259, 1237, 1179, 1108, 1176, 1106)(1028, 1093, 1170, 1226, 1168, 1225, 1270, 1284, 1274, 1232, 1186, 1114)(1051, 1134, 1202, 1256, 1278, 1288, 1281, 1263, 1213, 1246, 1191, 1133)(1116, 1164, 1192, 1247, 1236, 1275, 1286, 1292, 1285, 1271, 1243, 1187)(1128, 1197, 1251, 1277, 1287, 1293, 1289, 1279, 1260, 1244, 1189, 1196)(1223, 1269, 1283, 1291, 1295, 1296, 1294, 1290, 1282, 1268, 1233, 1265)
	L = (1, 649)(2, 650)(3, 651)(4, 652)(5, 653)(6, 654)(7, 655)(8, 656)(9, 657)(10, 658)(11, 659)(12, 660)(13, 661)(14, 662)(15, 663)(16, 664)(17, 665)(18, 666)(19, 667)(20, 668)(21, 669)(22, 670)(23, 671)(24, 672)(25, 673)(26, 674)(27, 675)(28, 676)(29, 677)(30, 678)(31, 679)(32, 680)(33, 681)(34, 682)(35, 683)(36, 684)(37, 685)(38, 686)(39, 687)(40, 688)(41, 689)(42, 690)(43, 691)(44, 692)(45, 693)(46, 694)(47, 695)(48, 696)(49, 697)(50, 698)(51, 699)(52, 700)(53, 701)(54, 702)(55, 703)(56, 704)(57, 705)(58, 706)(59, 707)(60, 708)(61, 709)(62, 710)(63, 711)(64, 712)(65, 713)(66, 714)(67, 715)(68, 716)(69, 717)(70, 718)(71, 719)(72, 720)(73, 721)(74, 722)(75, 723)(76, 724)(77, 725)(78, 726)(79, 727)(80, 728)(81, 729)(82, 730)(83, 731)(84, 732)(85, 733)(86, 734)(87, 735)(88, 736)(89, 737)(90, 738)(91, 739)(92, 740)(93, 741)(94, 742)(95, 743)(96, 744)(97, 745)(98, 746)(99, 747)(100, 748)(101, 749)(102, 750)(103, 751)(104, 752)(105, 753)(106, 754)(107, 755)(108, 756)(109, 757)(110, 758)(111, 759)(112, 760)(113, 761)(114, 762)(115, 763)(116, 764)(117, 765)(118, 766)(119, 767)(120, 768)(121, 769)(122, 770)(123, 771)(124, 772)(125, 773)(126, 774)(127, 775)(128, 776)(129, 777)(130, 778)(131, 779)(132, 780)(133, 781)(134, 782)(135, 783)(136, 784)(137, 785)(138, 786)(139, 787)(140, 788)(141, 789)(142, 790)(143, 791)(144, 792)(145, 793)(146, 794)(147, 795)(148, 796)(149, 797)(150, 798)(151, 799)(152, 800)(153, 801)(154, 802)(155, 803)(156, 804)(157, 805)(158, 806)(159, 807)(160, 808)(161, 809)(162, 810)(163, 811)(164, 812)(165, 813)(166, 814)(167, 815)(168, 816)(169, 817)(170, 818)(171, 819)(172, 820)(173, 821)(174, 822)(175, 823)(176, 824)(177, 825)(178, 826)(179, 827)(180, 828)(181, 829)(182, 830)(183, 831)(184, 832)(185, 833)(186, 834)(187, 835)(188, 836)(189, 837)(190, 838)(191, 839)(192, 840)(193, 841)(194, 842)(195, 843)(196, 844)(197, 845)(198, 846)(199, 847)(200, 848)(201, 849)(202, 850)(203, 851)(204, 852)(205, 853)(206, 854)(207, 855)(208, 856)(209, 857)(210, 858)(211, 859)(212, 860)(213, 861)(214, 862)(215, 863)(216, 864)(217, 865)(218, 866)(219, 867)(220, 868)(221, 869)(222, 870)(223, 871)(224, 872)(225, 873)(226, 874)(227, 875)(228, 876)(229, 877)(230, 878)(231, 879)(232, 880)(233, 881)(234, 882)(235, 883)(236, 884)(237, 885)(238, 886)(239, 887)(240, 888)(241, 889)(242, 890)(243, 891)(244, 892)(245, 893)(246, 894)(247, 895)(248, 896)(249, 897)(250, 898)(251, 899)(252, 900)(253, 901)(254, 902)(255, 903)(256, 904)(257, 905)(258, 906)(259, 907)(260, 908)(261, 909)(262, 910)(263, 911)(264, 912)(265, 913)(266, 914)(267, 915)(268, 916)(269, 917)(270, 918)(271, 919)(272, 920)(273, 921)(274, 922)(275, 923)(276, 924)(277, 925)(278, 926)(279, 927)(280, 928)(281, 929)(282, 930)(283, 931)(284, 932)(285, 933)(286, 934)(287, 935)(288, 936)(289, 937)(290, 938)(291, 939)(292, 940)(293, 941)(294, 942)(295, 943)(296, 944)(297, 945)(298, 946)(299, 947)(300, 948)(301, 949)(302, 950)(303, 951)(304, 952)(305, 953)(306, 954)(307, 955)(308, 956)(309, 957)(310, 958)(311, 959)(312, 960)(313, 961)(314, 962)(315, 963)(316, 964)(317, 965)(318, 966)(319, 967)(320, 968)(321, 969)(322, 970)(323, 971)(324, 972)(325, 973)(326, 974)(327, 975)(328, 976)(329, 977)(330, 978)(331, 979)(332, 980)(333, 981)(334, 982)(335, 983)(336, 984)(337, 985)(338, 986)(339, 987)(340, 988)(341, 989)(342, 990)(343, 991)(344, 992)(345, 993)(346, 994)(347, 995)(348, 996)(349, 997)(350, 998)(351, 999)(352, 1000)(353, 1001)(354, 1002)(355, 1003)(356, 1004)(357, 1005)(358, 1006)(359, 1007)(360, 1008)(361, 1009)(362, 1010)(363, 1011)(364, 1012)(365, 1013)(366, 1014)(367, 1015)(368, 1016)(369, 1017)(370, 1018)(371, 1019)(372, 1020)(373, 1021)(374, 1022)(375, 1023)(376, 1024)(377, 1025)(378, 1026)(379, 1027)(380, 1028)(381, 1029)(382, 1030)(383, 1031)(384, 1032)(385, 1033)(386, 1034)(387, 1035)(388, 1036)(389, 1037)(390, 1038)(391, 1039)(392, 1040)(393, 1041)(394, 1042)(395, 1043)(396, 1044)(397, 1045)(398, 1046)(399, 1047)(400, 1048)(401, 1049)(402, 1050)(403, 1051)(404, 1052)(405, 1053)(406, 1054)(407, 1055)(408, 1056)(409, 1057)(410, 1058)(411, 1059)(412, 1060)(413, 1061)(414, 1062)(415, 1063)(416, 1064)(417, 1065)(418, 1066)(419, 1067)(420, 1068)(421, 1069)(422, 1070)(423, 1071)(424, 1072)(425, 1073)(426, 1074)(427, 1075)(428, 1076)(429, 1077)(430, 1078)(431, 1079)(432, 1080)(433, 1081)(434, 1082)(435, 1083)(436, 1084)(437, 1085)(438, 1086)(439, 1087)(440, 1088)(441, 1089)(442, 1090)(443, 1091)(444, 1092)(445, 1093)(446, 1094)(447, 1095)(448, 1096)(449, 1097)(450, 1098)(451, 1099)(452, 1100)(453, 1101)(454, 1102)(455, 1103)(456, 1104)(457, 1105)(458, 1106)(459, 1107)(460, 1108)(461, 1109)(462, 1110)(463, 1111)(464, 1112)(465, 1113)(466, 1114)(467, 1115)(468, 1116)(469, 1117)(470, 1118)(471, 1119)(472, 1120)(473, 1121)(474, 1122)(475, 1123)(476, 1124)(477, 1125)(478, 1126)(479, 1127)(480, 1128)(481, 1129)(482, 1130)(483, 1131)(484, 1132)(485, 1133)(486, 1134)(487, 1135)(488, 1136)(489, 1137)(490, 1138)(491, 1139)(492, 1140)(493, 1141)(494, 1142)(495, 1143)(496, 1144)(497, 1145)(498, 1146)(499, 1147)(500, 1148)(501, 1149)(502, 1150)(503, 1151)(504, 1152)(505, 1153)(506, 1154)(507, 1155)(508, 1156)(509, 1157)(510, 1158)(511, 1159)(512, 1160)(513, 1161)(514, 1162)(515, 1163)(516, 1164)(517, 1165)(518, 1166)(519, 1167)(520, 1168)(521, 1169)(522, 1170)(523, 1171)(524, 1172)(525, 1173)(526, 1174)(527, 1175)(528, 1176)(529, 1177)(530, 1178)(531, 1179)(532, 1180)(533, 1181)(534, 1182)(535, 1183)(536, 1184)(537, 1185)(538, 1186)(539, 1187)(540, 1188)(541, 1189)(542, 1190)(543, 1191)(544, 1192)(545, 1193)(546, 1194)(547, 1195)(548, 1196)(549, 1197)(550, 1198)(551, 1199)(552, 1200)(553, 1201)(554, 1202)(555, 1203)(556, 1204)(557, 1205)(558, 1206)(559, 1207)(560, 1208)(561, 1209)(562, 1210)(563, 1211)(564, 1212)(565, 1213)(566, 1214)(567, 1215)(568, 1216)(569, 1217)(570, 1218)(571, 1219)(572, 1220)(573, 1221)(574, 1222)(575, 1223)(576, 1224)(577, 1225)(578, 1226)(579, 1227)(580, 1228)(581, 1229)(582, 1230)(583, 1231)(584, 1232)(585, 1233)(586, 1234)(587, 1235)(588, 1236)(589, 1237)(590, 1238)(591, 1239)(592, 1240)(593, 1241)(594, 1242)(595, 1243)(596, 1244)(597, 1245)(598, 1246)(599, 1247)(600, 1248)(601, 1249)(602, 1250)(603, 1251)(604, 1252)(605, 1253)(606, 1254)(607, 1255)(608, 1256)(609, 1257)(610, 1258)(611, 1259)(612, 1260)(613, 1261)(614, 1262)(615, 1263)(616, 1264)(617, 1265)(618, 1266)(619, 1267)(620, 1268)(621, 1269)(622, 1270)(623, 1271)(624, 1272)(625, 1273)(626, 1274)(627, 1275)(628, 1276)(629, 1277)(630, 1278)(631, 1279)(632, 1280)(633, 1281)(634, 1282)(635, 1283)(636, 1284)(637, 1285)(638, 1286)(639, 1287)(640, 1288)(641, 1289)(642, 1290)(643, 1291)(644, 1292)(645, 1293)(646, 1294)(647, 1295)(648, 1296)
	local type(s) :: { ( 6, 6 ), ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E28.3350
Transitivity :: ET+
Graph:: simple bipartite
	v = 378 e = 648 f = 216
	degree seq :: [ 2^324, 12^54 ]

E28.3350 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 12})
Quotient :: loop
Aut^+ = $<648, 703>$ (small group id <648, 703>)
Aut   = $<1296, 3492>$ (small group id <1296, 3492>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^3, (F * T1)^2, (F * T2)^2, (T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1)^2, (T1 * T2)^12, (T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1)^2 ]
Map::
	R = (1, 649, 3, 651, 4, 652)(2, 650, 5, 653, 6, 654)(7, 655, 11, 659, 12, 660)(8, 656, 13, 661, 14, 662)(9, 657, 15, 663, 16, 664)(10, 658, 17, 665, 18, 666)(19, 667, 27, 675, 28, 676)(20, 668, 29, 677, 30, 678)(21, 669, 31, 679, 32, 680)(22, 670, 33, 681, 34, 682)(23, 671, 35, 683, 36, 684)(24, 672, 37, 685, 38, 686)(25, 673, 39, 687, 40, 688)(26, 674, 41, 689, 42, 690)(43, 691, 59, 707, 60, 708)(44, 692, 61, 709, 62, 710)(45, 693, 63, 711, 64, 712)(46, 694, 65, 713, 66, 714)(47, 695, 67, 715, 68, 716)(48, 696, 69, 717, 70, 718)(49, 697, 71, 719, 72, 720)(50, 698, 73, 721, 74, 722)(51, 699, 75, 723, 76, 724)(52, 700, 77, 725, 78, 726)(53, 701, 79, 727, 80, 728)(54, 702, 81, 729, 82, 730)(55, 703, 83, 731, 84, 732)(56, 704, 85, 733, 86, 734)(57, 705, 87, 735, 88, 736)(58, 706, 89, 737, 90, 738)(91, 739, 123, 771, 124, 772)(92, 740, 125, 773, 126, 774)(93, 741, 127, 775, 128, 776)(94, 742, 129, 777, 130, 778)(95, 743, 131, 779, 132, 780)(96, 744, 133, 781, 134, 782)(97, 745, 135, 783, 136, 784)(98, 746, 137, 785, 138, 786)(99, 747, 139, 787, 140, 788)(100, 748, 141, 789, 142, 790)(101, 749, 143, 791, 144, 792)(102, 750, 145, 793, 146, 794)(103, 751, 147, 795, 148, 796)(104, 752, 149, 797, 150, 798)(105, 753, 151, 799, 152, 800)(106, 754, 153, 801, 154, 802)(107, 755, 155, 803, 156, 804)(108, 756, 157, 805, 158, 806)(109, 757, 159, 807, 160, 808)(110, 758, 161, 809, 162, 810)(111, 759, 163, 811, 164, 812)(112, 760, 165, 813, 166, 814)(113, 761, 167, 815, 168, 816)(114, 762, 169, 817, 170, 818)(115, 763, 171, 819, 172, 820)(116, 764, 173, 821, 174, 822)(117, 765, 175, 823, 176, 824)(118, 766, 177, 825, 178, 826)(119, 767, 179, 827, 180, 828)(120, 768, 181, 829, 182, 830)(121, 769, 183, 831, 184, 832)(122, 770, 185, 833, 186, 834)(187, 835, 231, 879, 232, 880)(188, 836, 233, 881, 203, 851)(189, 837, 234, 882, 235, 883)(190, 838, 236, 884, 237, 885)(191, 839, 238, 886, 239, 887)(192, 840, 240, 888, 207, 855)(193, 841, 241, 889, 202, 850)(194, 842, 242, 890, 243, 891)(195, 843, 244, 892, 245, 893)(196, 844, 246, 894, 247, 895)(197, 845, 248, 896, 249, 897)(198, 846, 250, 898, 251, 899)(199, 847, 252, 900, 253, 901)(200, 848, 254, 902, 255, 903)(201, 849, 256, 904, 257, 905)(204, 852, 258, 906, 259, 907)(205, 853, 260, 908, 261, 909)(206, 854, 262, 910, 263, 911)(208, 856, 264, 912, 265, 913)(209, 857, 312, 960, 548, 1196)(210, 858, 406, 1054, 225, 873)(211, 859, 376, 1024, 459, 1107)(212, 860, 277, 925, 485, 1133)(213, 861, 409, 1057, 392, 1040)(214, 862, 411, 1059, 229, 877)(215, 863, 400, 1048, 224, 872)(216, 864, 298, 946, 520, 1168)(217, 865, 413, 1061, 394, 1042)(218, 866, 414, 1062, 622, 1270)(219, 867, 415, 1063, 439, 1087)(220, 868, 369, 1017, 627, 1275)(221, 869, 385, 1033, 564, 1212)(222, 870, 295, 943, 515, 1163)(223, 871, 393, 1041, 640, 1288)(226, 874, 278, 926, 486, 1134)(227, 875, 421, 1069, 397, 1045)(228, 876, 423, 1071, 648, 1296)(230, 878, 426, 1074, 428, 1076)(266, 914, 466, 1114, 467, 1115)(267, 915, 468, 1116, 469, 1117)(268, 916, 470, 1118, 471, 1119)(269, 917, 472, 1120, 473, 1121)(270, 918, 474, 1122, 446, 1094)(271, 919, 475, 1123, 453, 1101)(272, 920, 476, 1124, 477, 1125)(273, 921, 478, 1126, 479, 1127)(274, 922, 480, 1128, 481, 1129)(275, 923, 482, 1130, 483, 1131)(276, 924, 484, 1132, 463, 1111)(279, 927, 487, 1135, 432, 1080)(280, 928, 488, 1136, 489, 1137)(281, 929, 490, 1138, 491, 1139)(282, 930, 492, 1140, 493, 1141)(283, 931, 494, 1142, 495, 1143)(284, 932, 496, 1144, 497, 1145)(285, 933, 498, 1146, 499, 1147)(286, 934, 447, 1095, 500, 1148)(287, 935, 501, 1149, 502, 1150)(288, 936, 454, 1102, 503, 1151)(289, 937, 504, 1152, 505, 1153)(290, 938, 506, 1154, 507, 1155)(291, 939, 508, 1156, 509, 1157)(292, 940, 510, 1158, 420, 1068)(293, 941, 511, 1159, 512, 1160)(294, 942, 513, 1161, 450, 1098)(296, 944, 435, 1083, 516, 1164)(297, 945, 517, 1165, 401, 1049)(299, 947, 522, 1170, 448, 1096)(300, 948, 524, 1172, 525, 1173)(301, 949, 372, 1020, 526, 1174)(302, 950, 527, 1175, 528, 1176)(303, 951, 530, 1178, 531, 1179)(304, 952, 433, 1081, 532, 1180)(305, 953, 533, 1181, 534, 1182)(306, 954, 536, 1184, 537, 1185)(307, 955, 355, 1003, 538, 1186)(308, 956, 539, 1187, 540, 1188)(309, 957, 542, 1190, 543, 1191)(310, 958, 544, 1192, 545, 1193)(311, 959, 546, 1194, 547, 1195)(313, 961, 550, 1198, 440, 1088)(314, 962, 456, 1104, 551, 1199)(315, 963, 552, 1200, 348, 996)(316, 964, 535, 1183, 436, 1084)(317, 965, 555, 1203, 464, 1112)(318, 966, 556, 1204, 386, 1034)(319, 967, 375, 1023, 557, 1205)(320, 968, 559, 1207, 457, 1105)(321, 969, 561, 1209, 519, 1167)(322, 970, 562, 1210, 563, 1211)(323, 971, 565, 1213, 336, 984)(324, 972, 523, 1171, 566, 1214)(325, 973, 567, 1215, 568, 1216)(326, 974, 569, 1217, 367, 1015)(327, 975, 358, 1006, 570, 1218)(328, 976, 572, 1220, 574, 1222)(329, 977, 575, 1223, 577, 1225)(330, 978, 363, 1011, 578, 1226)(331, 979, 579, 1227, 580, 1228)(332, 980, 410, 1058, 418, 1066)(333, 981, 583, 1231, 584, 1232)(334, 982, 585, 1233, 586, 1234)(335, 983, 422, 1070, 588, 1236)(337, 985, 589, 1237, 412, 1060)(338, 986, 518, 1166, 592, 1240)(339, 987, 593, 1241, 594, 1242)(340, 988, 595, 1243, 596, 1244)(341, 989, 597, 1245, 599, 1247)(342, 990, 381, 1029, 582, 1230)(343, 991, 581, 1229, 600, 1248)(344, 992, 390, 1038, 398, 1046)(345, 993, 601, 1249, 443, 1091)(346, 994, 442, 1090, 434, 1082)(347, 995, 402, 1050, 602, 1250)(349, 997, 603, 1251, 391, 1039)(350, 998, 458, 1106, 587, 1235)(351, 999, 449, 1097, 606, 1254)(352, 1000, 607, 1255, 608, 1256)(353, 1001, 609, 1257, 553, 1201)(354, 1002, 610, 1258, 611, 1259)(356, 1004, 529, 1177, 612, 1260)(357, 1005, 604, 1252, 613, 1261)(359, 1007, 366, 1014, 614, 1262)(360, 1008, 616, 1264, 618, 1266)(361, 1009, 619, 1267, 558, 1206)(362, 1010, 620, 1268, 621, 1269)(364, 1012, 419, 1067, 623, 1271)(365, 1013, 624, 1272, 625, 1273)(368, 1016, 626, 1274, 425, 1073)(370, 1018, 431, 1079, 452, 1100)(371, 1019, 460, 1108, 455, 1103)(373, 1021, 541, 1189, 628, 1276)(374, 1022, 590, 1238, 629, 1277)(377, 1025, 384, 1032, 437, 1085)(378, 1026, 631, 1279, 633, 1281)(379, 1027, 465, 1113, 571, 1219)(380, 1028, 634, 1282, 461, 1109)(382, 1030, 399, 1047, 635, 1283)(383, 1031, 444, 1092, 430, 1078)(387, 1035, 615, 1263, 404, 1052)(388, 1036, 637, 1285, 639, 1287)(389, 1037, 441, 1089, 591, 1239)(395, 1043, 573, 1221, 641, 1289)(396, 1044, 429, 1077, 643, 1291)(403, 1051, 438, 1086, 576, 1224)(405, 1053, 617, 1265, 645, 1293)(407, 1055, 646, 1294, 647, 1295)(408, 1056, 521, 1169, 605, 1253)(416, 1064, 560, 1208, 644, 1292)(417, 1065, 549, 1197, 638, 1286)(424, 1072, 514, 1162, 598, 1246)(427, 1075, 632, 1280, 642, 1290)(445, 1093, 462, 1110, 451, 1099)(554, 1202, 630, 1278, 636, 1284)
	L = (1, 650)(2, 649)(3, 655)(4, 656)(5, 657)(6, 658)(7, 651)(8, 652)(9, 653)(10, 654)(11, 667)(12, 668)(13, 669)(14, 670)(15, 671)(16, 672)(17, 673)(18, 674)(19, 659)(20, 660)(21, 661)(22, 662)(23, 663)(24, 664)(25, 665)(26, 666)(27, 691)(28, 692)(29, 693)(30, 694)(31, 695)(32, 696)(33, 697)(34, 698)(35, 699)(36, 700)(37, 701)(38, 702)(39, 703)(40, 704)(41, 705)(42, 706)(43, 675)(44, 676)(45, 677)(46, 678)(47, 679)(48, 680)(49, 681)(50, 682)(51, 683)(52, 684)(53, 685)(54, 686)(55, 687)(56, 688)(57, 689)(58, 690)(59, 739)(60, 740)(61, 741)(62, 742)(63, 743)(64, 744)(65, 745)(66, 746)(67, 747)(68, 748)(69, 749)(70, 750)(71, 751)(72, 752)(73, 753)(74, 754)(75, 755)(76, 756)(77, 757)(78, 758)(79, 759)(80, 760)(81, 761)(82, 762)(83, 763)(84, 764)(85, 765)(86, 766)(87, 767)(88, 768)(89, 769)(90, 770)(91, 707)(92, 708)(93, 709)(94, 710)(95, 711)(96, 712)(97, 713)(98, 714)(99, 715)(100, 716)(101, 717)(102, 718)(103, 719)(104, 720)(105, 721)(106, 722)(107, 723)(108, 724)(109, 725)(110, 726)(111, 727)(112, 728)(113, 729)(114, 730)(115, 731)(116, 732)(117, 733)(118, 734)(119, 735)(120, 736)(121, 737)(122, 738)(123, 835)(124, 836)(125, 837)(126, 810)(127, 838)(128, 839)(129, 822)(130, 806)(131, 840)(132, 841)(133, 842)(134, 843)(135, 828)(136, 844)(137, 820)(138, 845)(139, 846)(140, 817)(141, 847)(142, 809)(143, 848)(144, 849)(145, 850)(146, 851)(147, 831)(148, 815)(149, 852)(150, 853)(151, 827)(152, 854)(153, 855)(154, 856)(155, 857)(156, 858)(157, 859)(158, 778)(159, 860)(160, 861)(161, 790)(162, 774)(163, 862)(164, 863)(165, 864)(166, 865)(167, 796)(168, 866)(169, 788)(170, 867)(171, 868)(172, 785)(173, 869)(174, 777)(175, 870)(176, 871)(177, 872)(178, 873)(179, 799)(180, 783)(181, 874)(182, 875)(183, 795)(184, 876)(185, 877)(186, 878)(187, 771)(188, 772)(189, 773)(190, 775)(191, 776)(192, 779)(193, 780)(194, 781)(195, 782)(196, 784)(197, 786)(198, 787)(199, 789)(200, 791)(201, 792)(202, 793)(203, 794)(204, 797)(205, 798)(206, 800)(207, 801)(208, 802)(209, 803)(210, 804)(211, 805)(212, 807)(213, 808)(214, 811)(215, 812)(216, 813)(217, 814)(218, 816)(219, 818)(220, 819)(221, 821)(222, 823)(223, 824)(224, 825)(225, 826)(226, 829)(227, 830)(228, 832)(229, 833)(230, 834)(231, 1076)(232, 1078)(233, 1032)(234, 1080)(235, 945)(236, 947)(237, 1082)(238, 1084)(239, 1086)(240, 1044)(241, 934)(242, 1088)(243, 995)(244, 1090)(245, 1092)(246, 1094)(247, 1029)(248, 1096)(249, 942)(250, 1098)(251, 1099)(252, 1101)(253, 963)(254, 965)(255, 1103)(256, 1105)(257, 1106)(258, 1034)(259, 1039)(260, 1108)(261, 1110)(262, 1111)(263, 1089)(264, 1112)(265, 960)(266, 962)(267, 970)(268, 967)(269, 944)(270, 975)(271, 939)(272, 1002)(273, 1010)(274, 1019)(275, 1028)(276, 1007)(277, 941)(278, 1015)(279, 929)(280, 1025)(281, 927)(282, 1048)(283, 1047)(284, 994)(285, 993)(286, 889)(287, 1067)(288, 982)(289, 981)(290, 1087)(291, 919)(292, 1107)(293, 925)(294, 897)(295, 973)(296, 917)(297, 883)(298, 1167)(299, 884)(300, 1171)(301, 988)(302, 987)(303, 1177)(304, 959)(305, 958)(306, 1183)(307, 1000)(308, 999)(309, 1189)(310, 953)(311, 952)(312, 913)(313, 1005)(314, 914)(315, 901)(316, 1201)(317, 902)(318, 1013)(319, 916)(320, 1206)(321, 1022)(322, 915)(323, 1212)(324, 1100)(325, 943)(326, 1031)(327, 918)(328, 1219)(329, 1207)(330, 1043)(331, 1027)(332, 1229)(333, 937)(334, 936)(335, 1168)(336, 1053)(337, 1052)(338, 1238)(339, 950)(340, 949)(341, 1220)(342, 1064)(343, 1009)(344, 1227)(345, 933)(346, 932)(347, 891)(348, 1075)(349, 1073)(350, 1252)(351, 956)(352, 955)(353, 1021)(354, 920)(355, 1148)(356, 1018)(357, 961)(358, 1093)(359, 924)(360, 1263)(361, 991)(362, 921)(363, 1270)(364, 1079)(365, 966)(366, 1054)(367, 926)(368, 1254)(369, 1155)(370, 1004)(371, 922)(372, 1141)(373, 1001)(374, 969)(375, 1278)(376, 1139)(377, 928)(378, 1274)(379, 979)(380, 923)(381, 895)(382, 1257)(383, 974)(384, 881)(385, 1121)(386, 906)(387, 1242)(388, 1264)(389, 1056)(390, 1237)(391, 907)(392, 1162)(393, 1222)(394, 1272)(395, 978)(396, 888)(397, 1284)(398, 1187)(399, 931)(400, 930)(401, 1197)(402, 1266)(403, 1215)(404, 985)(405, 984)(406, 1014)(407, 1279)(408, 1037)(409, 1214)(410, 1251)(411, 1065)(412, 1134)(413, 1233)(414, 1119)(415, 1160)(416, 990)(417, 1059)(418, 1175)(419, 935)(420, 1077)(421, 1258)(422, 1281)(423, 1137)(424, 1203)(425, 997)(426, 1216)(427, 996)(428, 879)(429, 1068)(430, 880)(431, 1012)(432, 882)(433, 1145)(434, 885)(435, 1292)(436, 886)(437, 1157)(438, 887)(439, 938)(440, 890)(441, 911)(442, 892)(443, 1267)(444, 893)(445, 1006)(446, 894)(447, 1115)(448, 896)(449, 1193)(450, 898)(451, 899)(452, 972)(453, 900)(454, 1129)(455, 903)(456, 1253)(457, 904)(458, 905)(459, 940)(460, 908)(461, 1209)(462, 909)(463, 910)(464, 912)(465, 1232)(466, 1153)(467, 1095)(468, 1147)(469, 1140)(470, 1176)(471, 1062)(472, 1182)(473, 1033)(474, 1188)(475, 1195)(476, 1131)(477, 1144)(478, 1143)(479, 1128)(480, 1127)(481, 1102)(482, 1150)(483, 1124)(484, 1228)(485, 1234)(486, 1060)(487, 1244)(488, 1248)(489, 1071)(490, 1256)(491, 1024)(492, 1117)(493, 1020)(494, 1173)(495, 1126)(496, 1125)(497, 1081)(498, 1179)(499, 1116)(500, 1003)(501, 1185)(502, 1130)(503, 1192)(504, 1191)(505, 1114)(506, 1277)(507, 1017)(508, 1289)(509, 1085)(510, 1276)(511, 1293)(512, 1063)(513, 1261)(514, 1040)(515, 1259)(516, 1262)(517, 1260)(518, 1288)(519, 946)(520, 983)(521, 1296)(522, 1290)(523, 948)(524, 1225)(525, 1142)(526, 1231)(527, 1066)(528, 1118)(529, 951)(530, 1236)(531, 1146)(532, 1241)(533, 1240)(534, 1120)(535, 954)(536, 1247)(537, 1149)(538, 1249)(539, 1046)(540, 1122)(541, 957)(542, 1250)(543, 1152)(544, 1151)(545, 1097)(546, 1235)(547, 1123)(548, 1273)(549, 1049)(550, 1269)(551, 1217)(552, 1271)(553, 964)(554, 1275)(555, 1072)(556, 1211)(557, 1218)(558, 968)(559, 977)(560, 1291)(561, 1109)(562, 1239)(563, 1204)(564, 971)(565, 1283)(566, 1057)(567, 1051)(568, 1074)(569, 1199)(570, 1205)(571, 976)(572, 989)(573, 1286)(574, 1041)(575, 1287)(576, 1243)(577, 1172)(578, 1282)(579, 992)(580, 1132)(581, 980)(582, 1268)(583, 1174)(584, 1113)(585, 1061)(586, 1133)(587, 1194)(588, 1178)(589, 1038)(590, 986)(591, 1210)(592, 1181)(593, 1180)(594, 1035)(595, 1224)(596, 1135)(597, 1295)(598, 1255)(599, 1184)(600, 1136)(601, 1186)(602, 1190)(603, 1058)(604, 998)(605, 1104)(606, 1016)(607, 1246)(608, 1138)(609, 1030)(610, 1069)(611, 1163)(612, 1165)(613, 1161)(614, 1164)(615, 1008)(616, 1036)(617, 1280)(618, 1050)(619, 1091)(620, 1230)(621, 1198)(622, 1011)(623, 1200)(624, 1042)(625, 1196)(626, 1026)(627, 1202)(628, 1158)(629, 1154)(630, 1023)(631, 1055)(632, 1265)(633, 1070)(634, 1226)(635, 1213)(636, 1045)(637, 1294)(638, 1221)(639, 1223)(640, 1166)(641, 1156)(642, 1170)(643, 1208)(644, 1083)(645, 1159)(646, 1285)(647, 1245)(648, 1169)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3349
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 216 e = 648 f = 378
	degree seq :: [ 6^216 ]

E28.3351 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 12})
Quotient :: loop
Aut^+ = $<648, 703>$ (small group id <648, 703>)
Aut   = $<1296, 3492>$ (small group id <1296, 3492>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T1 * T2)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, (F * T1)^2, T2 * T1 * T2^3 * T1 * T2 * T1^-1 * T2 * T1^-1, T2^12, T2^3 * T1^-1 * T2^-2 * T1 * T2^4 * T1^-1 * T2 * T1^-1, T2 * T1^-1 * T2^-3 * T1 * T2^2 * T1^-1 * T2^-4 * T1^-1, (T2^5 * T1^-1 * T2^3 * T1^-1)^2, (T2^4 * T1^-1 * T2^2 * T1^-1 * T2^2 * T1^-1)^2 ]
Map::
	R = (1, 649, 3, 651, 9, 657, 19, 667, 37, 685, 67, 715, 117, 765, 86, 734, 48, 696, 26, 674, 13, 661, 5, 653)(2, 650, 6, 654, 14, 662, 27, 675, 50, 698, 89, 737, 154, 802, 102, 750, 58, 706, 32, 680, 16, 664, 7, 655)(4, 652, 11, 659, 22, 670, 41, 689, 74, 722, 129, 777, 186, 834, 108, 756, 62, 710, 34, 682, 17, 665, 8, 656)(10, 658, 21, 669, 40, 688, 71, 719, 124, 772, 206, 854, 277, 925, 190, 838, 112, 760, 64, 712, 35, 683, 18, 666)(12, 660, 23, 671, 43, 691, 77, 725, 134, 782, 216, 864, 306, 954, 222, 870, 140, 788, 80, 728, 44, 692, 24, 672)(15, 663, 29, 677, 53, 701, 93, 741, 161, 809, 245, 893, 339, 987, 250, 898, 167, 815, 96, 744, 54, 702, 30, 678)(20, 668, 39, 687, 70, 718, 121, 769, 202, 850, 290, 938, 379, 1027, 279, 927, 193, 841, 114, 762, 65, 713, 36, 684)(25, 673, 45, 693, 81, 729, 141, 789, 169, 817, 251, 899, 346, 994, 319, 967, 227, 875, 144, 792, 82, 730, 46, 694)(28, 676, 52, 700, 92, 740, 158, 806, 242, 890, 336, 984, 278, 926, 191, 839, 113, 761, 151, 799, 87, 735, 49, 697)(31, 679, 55, 703, 97, 745, 168, 816, 178, 826, 261, 909, 357, 1005, 350, 998, 255, 903, 171, 819, 98, 746, 56, 704)(33, 681, 59, 707, 103, 751, 177, 825, 142, 790, 223, 871, 315, 963, 360, 1008, 265, 913, 180, 828, 104, 752, 60, 708)(38, 686, 69, 717, 120, 768, 199, 847, 286, 934, 388, 1036, 451, 1099, 345, 993, 249, 897, 166, 814, 115, 763, 66, 714)(42, 690, 76, 724, 132, 780, 214, 862, 303, 951, 406, 1054, 327, 975, 233, 881, 150, 798, 192, 840, 127, 775, 73, 721)(47, 695, 83, 731, 145, 793, 162, 810, 246, 894, 340, 988, 445, 1093, 430, 1078, 323, 971, 229, 877, 146, 794, 84, 732)(51, 699, 91, 739, 157, 805, 239, 887, 333, 981, 439, 1087, 374, 1022, 275, 923, 189, 837, 111, 759, 152, 800, 88, 736)(57, 705, 99, 747, 172, 820, 125, 773, 207, 855, 294, 942, 396, 1044, 460, 1108, 354, 1002, 257, 905, 173, 821, 100, 748)(61, 709, 105, 753, 181, 829, 135, 783, 217, 865, 308, 956, 412, 1060, 470, 1118, 364, 1012, 267, 915, 182, 830, 106, 754)(63, 711, 109, 757, 187, 835, 133, 781, 78, 726, 136, 784, 218, 866, 309, 957, 372, 1020, 274, 922, 188, 836, 110, 758)(68, 716, 119, 767, 198, 846, 283, 931, 384, 1032, 486, 1134, 555, 1203, 466, 1114, 359, 1007, 264, 912, 194, 842, 116, 764)(72, 720, 126, 774, 208, 856, 295, 943, 399, 1047, 344, 992, 248, 896, 165, 813, 95, 743, 164, 812, 205, 853, 123, 771)(75, 723, 131, 779, 213, 861, 300, 948, 385, 1033, 487, 1135, 420, 1068, 313, 961, 221, 869, 139, 787, 209, 857, 128, 776)(79, 727, 137, 785, 219, 867, 160, 808, 94, 742, 163, 811, 247, 895, 341, 989, 418, 1066, 312, 960, 220, 868, 138, 786)(85, 733, 147, 795, 230, 878, 243, 891, 337, 985, 442, 1090, 534, 1182, 459, 1107, 353, 1001, 325, 973, 231, 879, 148, 796)(90, 738, 156, 804, 238, 886, 331, 979, 287, 935, 389, 1037, 489, 1137, 425, 1073, 318, 966, 226, 874, 234, 882, 153, 801)(101, 749, 174, 822, 258, 906, 304, 952, 407, 1055, 507, 1155, 558, 1206, 469, 1117, 363, 1011, 355, 1003, 259, 907, 175, 823)(107, 755, 183, 831, 268, 916, 203, 851, 291, 939, 392, 1040, 493, 1141, 429, 1077, 322, 970, 365, 1013, 269, 917, 184, 832)(118, 766, 197, 845, 282, 930, 381, 1029, 484, 1132, 568, 1216, 617, 1265, 561, 1209, 473, 1121, 371, 1019, 280, 928, 195, 843)(122, 770, 204, 852, 292, 940, 393, 1041, 496, 1144, 465, 1113, 358, 1006, 263, 911, 179, 827, 262, 910, 289, 937, 201, 849)(130, 778, 212, 860, 299, 947, 403, 1051, 334, 982, 440, 1088, 531, 1179, 455, 1103, 349, 997, 254, 902, 297, 945, 210, 858)(143, 791, 224, 872, 316, 964, 241, 889, 159, 807, 244, 892, 338, 986, 443, 1091, 524, 1172, 424, 1072, 317, 965, 225, 873)(149, 797, 196, 844, 281, 929, 380, 1028, 482, 1130, 567, 1215, 621, 1269, 592, 1240, 519, 1167, 434, 1082, 326, 974, 232, 880)(155, 803, 237, 885, 330, 978, 437, 1085, 513, 1161, 585, 1233, 630, 1278, 589, 1237, 516, 1164, 417, 1065, 328, 976, 235, 883)(170, 818, 252, 900, 347, 995, 302, 950, 215, 863, 305, 953, 408, 1056, 508, 1156, 547, 1195, 454, 1102, 348, 996, 253, 901)(176, 824, 236, 884, 329, 977, 436, 1084, 530, 1178, 597, 1245, 637, 1285, 607, 1255, 542, 1190, 462, 1110, 356, 1004, 260, 908)(185, 833, 270, 918, 366, 1014, 400, 1048, 502, 1150, 580, 1228, 618, 1266, 564, 1212, 476, 1124, 471, 1119, 367, 1015, 271, 919)(200, 848, 288, 936, 390, 1038, 490, 1138, 571, 1219, 560, 1208, 472, 1120, 370, 1018, 273, 921, 369, 1017, 387, 1035, 285, 933)(211, 859, 298, 946, 402, 1050, 504, 1152, 538, 1186, 602, 1250, 641, 1289, 606, 1254, 541, 1189, 450, 1098, 368, 1016, 272, 920)(228, 876, 320, 968, 427, 1075, 413, 1061, 310, 958, 414, 1062, 514, 1162, 586, 1234, 549, 1197, 527, 1175, 428, 1076, 321, 969)(240, 888, 335, 983, 441, 1089, 532, 1180, 491, 1139, 573, 1221, 515, 1163, 416, 1064, 311, 959, 415, 1063, 438, 1086, 332, 980)(256, 904, 351, 999, 457, 1105, 446, 1094, 342, 990, 447, 1095, 539, 1187, 603, 1251, 556, 1204, 550, 1198, 458, 1106, 352, 1000)(266, 914, 361, 1009, 467, 1115, 398, 1046, 296, 944, 401, 1049, 503, 1151, 581, 1229, 526, 1174, 557, 1205, 468, 1116, 362, 1010)(276, 924, 375, 1023, 477, 1125, 497, 1145, 576, 1224, 626, 1274, 596, 1244, 529, 1177, 435, 1083, 461, 1109, 478, 1126, 376, 1024)(284, 932, 386, 1034, 488, 1136, 569, 1217, 622, 1270, 620, 1268, 565, 1213, 480, 1128, 378, 1026, 433, 1081, 485, 1133, 383, 1031)(293, 941, 395, 1043, 499, 1147, 426, 1074, 452, 1100, 543, 1191, 608, 1256, 644, 1292, 613, 1261, 554, 1202, 479, 1127, 377, 1025)(301, 949, 405, 1053, 506, 1154, 572, 1220, 533, 1181, 599, 1247, 540, 1188, 449, 1097, 343, 991, 448, 1096, 505, 1153, 404, 1052)(307, 955, 411, 1059, 512, 1160, 456, 1104, 463, 1111, 551, 1199, 611, 1259, 634, 1282, 594, 1242, 523, 1171, 510, 1158, 409, 1057)(314, 962, 410, 1058, 511, 1159, 536, 1184, 600, 1248, 639, 1287, 616, 1264, 566, 1214, 481, 1129, 391, 1039, 492, 1140, 421, 1069)(324, 972, 431, 1079, 483, 1131, 382, 1030, 422, 1070, 520, 1168, 593, 1241, 633, 1281, 609, 1257, 546, 1194, 528, 1176, 432, 1080)(373, 1021, 474, 1122, 562, 1210, 495, 1143, 394, 1042, 498, 1146, 577, 1225, 522, 1170, 423, 1071, 521, 1169, 563, 1211, 475, 1123)(397, 1045, 501, 1149, 579, 1227, 583, 1231, 509, 1157, 584, 1232, 612, 1260, 553, 1201, 464, 1112, 552, 1200, 578, 1226, 500, 1148)(419, 1067, 517, 1165, 590, 1238, 535, 1183, 444, 1092, 537, 1185, 601, 1249, 545, 1193, 453, 1101, 544, 1192, 591, 1239, 518, 1166)(494, 1142, 575, 1223, 625, 1273, 628, 1276, 582, 1230, 629, 1277, 646, 1294, 615, 1263, 559, 1207, 614, 1262, 624, 1272, 574, 1222)(525, 1173, 570, 1218, 623, 1271, 631, 1279, 587, 1235, 627, 1275, 647, 1295, 632, 1280, 588, 1236, 619, 1267, 635, 1283, 595, 1243)(548, 1196, 598, 1246, 638, 1286, 642, 1290, 604, 1252, 640, 1288, 648, 1296, 643, 1291, 605, 1253, 636, 1284, 645, 1293, 610, 1258)
	L = (1, 650)(2, 652)(3, 656)(4, 649)(5, 660)(6, 653)(7, 663)(8, 658)(9, 666)(10, 651)(11, 655)(12, 654)(13, 673)(14, 672)(15, 659)(16, 679)(17, 681)(18, 668)(19, 684)(20, 657)(21, 665)(22, 678)(23, 661)(24, 676)(25, 671)(26, 695)(27, 697)(28, 662)(29, 664)(30, 690)(31, 677)(32, 705)(33, 669)(34, 709)(35, 711)(36, 686)(37, 714)(38, 667)(39, 683)(40, 708)(41, 721)(42, 670)(43, 694)(44, 727)(45, 674)(46, 726)(47, 693)(48, 733)(49, 699)(50, 736)(51, 675)(52, 692)(53, 704)(54, 743)(55, 680)(56, 742)(57, 703)(58, 749)(59, 682)(60, 720)(61, 707)(62, 755)(63, 687)(64, 759)(65, 761)(66, 716)(67, 764)(68, 685)(69, 713)(70, 758)(71, 771)(72, 688)(73, 723)(74, 776)(75, 689)(76, 702)(77, 781)(78, 691)(79, 700)(80, 787)(81, 732)(82, 791)(83, 696)(84, 790)(85, 731)(86, 797)(87, 798)(88, 738)(89, 801)(90, 698)(91, 735)(92, 786)(93, 808)(94, 701)(95, 724)(96, 814)(97, 748)(98, 818)(99, 706)(100, 817)(101, 747)(102, 824)(103, 754)(104, 827)(105, 710)(106, 826)(107, 753)(108, 833)(109, 712)(110, 770)(111, 757)(112, 804)(113, 717)(114, 840)(115, 815)(116, 766)(117, 843)(118, 715)(119, 763)(120, 839)(121, 849)(122, 718)(123, 773)(124, 820)(125, 719)(126, 752)(127, 841)(128, 778)(129, 858)(130, 722)(131, 775)(132, 813)(133, 783)(134, 829)(135, 725)(136, 730)(137, 728)(138, 807)(139, 785)(140, 860)(141, 825)(142, 729)(143, 784)(144, 874)(145, 796)(146, 876)(147, 734)(148, 809)(149, 795)(150, 739)(151, 762)(152, 760)(153, 803)(154, 883)(155, 737)(156, 800)(157, 881)(158, 889)(159, 740)(160, 810)(161, 793)(162, 741)(163, 746)(164, 744)(165, 863)(166, 812)(167, 767)(168, 789)(169, 745)(170, 811)(171, 902)(172, 823)(173, 904)(174, 750)(175, 772)(176, 822)(177, 816)(178, 751)(179, 774)(180, 912)(181, 832)(182, 914)(183, 756)(184, 782)(185, 831)(186, 920)(187, 837)(188, 921)(189, 865)(190, 924)(191, 848)(192, 799)(193, 779)(194, 913)(195, 844)(196, 765)(197, 842)(198, 898)(199, 933)(200, 768)(201, 851)(202, 916)(203, 769)(204, 836)(205, 897)(206, 907)(207, 853)(208, 911)(209, 788)(210, 859)(211, 777)(212, 857)(213, 927)(214, 950)(215, 780)(216, 917)(217, 835)(218, 873)(219, 869)(220, 959)(221, 894)(222, 962)(223, 794)(224, 792)(225, 958)(226, 872)(227, 885)(228, 871)(229, 970)(230, 880)(231, 972)(232, 890)(233, 888)(234, 875)(235, 884)(236, 802)(237, 882)(238, 838)(239, 980)(240, 805)(241, 891)(242, 878)(243, 806)(244, 868)(245, 879)(246, 867)(247, 901)(248, 991)(249, 855)(250, 932)(251, 821)(252, 819)(253, 990)(254, 900)(255, 946)(256, 899)(257, 1001)(258, 908)(259, 941)(260, 951)(261, 830)(262, 828)(263, 944)(264, 910)(265, 845)(266, 909)(267, 1011)(268, 919)(269, 955)(270, 834)(271, 850)(272, 918)(273, 852)(274, 1019)(275, 1021)(276, 886)(277, 1025)(278, 1026)(279, 949)(280, 1020)(281, 928)(282, 1008)(283, 1031)(284, 846)(285, 935)(286, 979)(287, 847)(288, 926)(289, 1007)(290, 1015)(291, 937)(292, 1018)(293, 854)(294, 993)(295, 1046)(296, 856)(297, 903)(298, 945)(299, 870)(300, 1052)(301, 861)(302, 952)(303, 906)(304, 862)(305, 896)(306, 1057)(307, 864)(308, 923)(309, 1061)(310, 866)(311, 892)(312, 1065)(313, 1067)(314, 947)(315, 969)(316, 966)(317, 1071)(318, 985)(319, 1074)(320, 877)(321, 1070)(322, 968)(323, 1059)(324, 893)(325, 1002)(326, 1081)(327, 1083)(328, 1066)(329, 976)(330, 967)(331, 1024)(332, 982)(333, 1051)(334, 887)(335, 975)(336, 974)(337, 964)(338, 1064)(339, 1080)(340, 961)(341, 1094)(342, 895)(343, 953)(344, 1098)(345, 1045)(346, 1000)(347, 997)(348, 1101)(349, 1055)(350, 1104)(351, 905)(352, 1100)(353, 999)(354, 1079)(355, 1012)(356, 1109)(357, 1010)(358, 1112)(359, 939)(360, 1030)(361, 915)(362, 1111)(363, 1009)(364, 1043)(365, 971)(366, 1016)(367, 1039)(368, 1047)(369, 922)(370, 1042)(371, 1017)(372, 929)(373, 956)(374, 1124)(375, 925)(376, 934)(377, 1023)(378, 936)(379, 1129)(380, 957)(381, 1131)(382, 930)(383, 1033)(384, 948)(385, 931)(386, 987)(387, 1121)(388, 1126)(389, 1035)(390, 1128)(391, 938)(392, 1114)(393, 1143)(394, 940)(395, 1003)(396, 1148)(397, 942)(398, 1048)(399, 1014)(400, 943)(401, 1006)(402, 998)(403, 1069)(404, 1032)(405, 1027)(406, 1004)(407, 995)(408, 1097)(409, 1058)(410, 954)(411, 1013)(412, 1123)(413, 1028)(414, 965)(415, 960)(416, 1092)(417, 1063)(418, 977)(419, 988)(420, 1167)(421, 981)(422, 963)(423, 1062)(424, 1171)(425, 1173)(426, 978)(427, 1077)(428, 1174)(429, 1130)(430, 1152)(431, 973)(432, 1034)(433, 984)(434, 1135)(435, 983)(436, 989)(437, 1147)(438, 1164)(439, 1140)(440, 1086)(441, 1177)(442, 1073)(443, 1183)(444, 986)(445, 1166)(446, 1084)(447, 996)(448, 992)(449, 1157)(450, 1096)(451, 1190)(452, 994)(453, 1095)(454, 1194)(455, 1196)(456, 1050)(457, 1107)(458, 1197)(459, 1178)(460, 1029)(461, 1054)(462, 1036)(463, 1005)(464, 1049)(465, 1202)(466, 1142)(467, 1117)(468, 1204)(469, 1150)(470, 1085)(471, 1087)(472, 1207)(473, 1037)(474, 1022)(475, 1161)(476, 1122)(477, 1127)(478, 1110)(479, 1144)(480, 1139)(481, 1053)(482, 1075)(483, 1108)(484, 1044)(485, 1082)(486, 1153)(487, 1133)(488, 1176)(489, 1209)(490, 1180)(491, 1038)(492, 1119)(493, 1222)(494, 1040)(495, 1145)(496, 1125)(497, 1041)(498, 1120)(499, 1118)(500, 1132)(501, 1099)(502, 1115)(503, 1201)(504, 1160)(505, 1189)(506, 1214)(507, 1103)(508, 1231)(509, 1056)(510, 1172)(511, 1158)(512, 1078)(513, 1060)(514, 1170)(515, 1236)(516, 1088)(517, 1068)(518, 1186)(519, 1165)(520, 1076)(521, 1072)(522, 1235)(523, 1169)(524, 1159)(525, 1090)(526, 1168)(527, 1198)(528, 1195)(529, 1181)(530, 1105)(531, 1237)(532, 1220)(533, 1089)(534, 1243)(535, 1184)(536, 1091)(537, 1163)(538, 1093)(539, 1193)(540, 1253)(541, 1134)(542, 1149)(543, 1106)(544, 1102)(545, 1252)(546, 1192)(547, 1136)(548, 1155)(549, 1191)(550, 1205)(551, 1116)(552, 1113)(553, 1230)(554, 1200)(555, 1254)(556, 1199)(557, 1175)(558, 1258)(559, 1146)(560, 1264)(561, 1218)(562, 1212)(563, 1242)(564, 1224)(565, 1267)(566, 1219)(567, 1141)(568, 1226)(569, 1156)(570, 1137)(571, 1154)(572, 1138)(573, 1213)(574, 1215)(575, 1203)(576, 1210)(577, 1263)(578, 1261)(579, 1255)(580, 1206)(581, 1276)(582, 1151)(583, 1217)(584, 1188)(585, 1211)(586, 1279)(587, 1162)(588, 1185)(589, 1246)(590, 1240)(591, 1257)(592, 1248)(593, 1229)(594, 1233)(595, 1245)(596, 1284)(597, 1182)(598, 1179)(599, 1244)(600, 1238)(601, 1280)(602, 1239)(603, 1290)(604, 1187)(605, 1232)(606, 1223)(607, 1270)(608, 1234)(609, 1250)(610, 1228)(611, 1251)(612, 1291)(613, 1216)(614, 1208)(615, 1275)(616, 1262)(617, 1292)(618, 1293)(619, 1221)(620, 1285)(621, 1272)(622, 1227)(623, 1265)(624, 1287)(625, 1289)(626, 1266)(627, 1225)(628, 1241)(629, 1260)(630, 1282)(631, 1256)(632, 1288)(633, 1273)(634, 1286)(635, 1268)(636, 1247)(637, 1283)(638, 1278)(639, 1269)(640, 1249)(641, 1281)(642, 1259)(643, 1277)(644, 1271)(645, 1274)(646, 1296)(647, 1294)(648, 1295)
	local type(s) :: { ( 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3 ) }
Outer automorphisms :: reflexible
Dual of E28.3347
Transitivity :: ET+ VT+ AT
Graph::
	v = 54 e = 648 f = 540
	degree seq :: [ 24^54 ]

E28.3352 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 12})
Quotient :: loop
Aut^+ = $<648, 703>$ (small group id <648, 703>)
Aut   = $<1296, 3492>$ (small group id <1296, 3492>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^3, T1^12, T1^-1 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-3 * T2, (T1^-2 * T2 * T1^2 * T2 * T1^-1)^2 ]
Map:: polyhedral non-degenerate
	R = (1, 649, 3, 651)(2, 650, 6, 654)(4, 652, 9, 657)(5, 653, 12, 660)(7, 655, 16, 664)(8, 656, 13, 661)(10, 658, 19, 667)(11, 659, 22, 670)(14, 662, 23, 671)(15, 663, 28, 676)(17, 665, 30, 678)(18, 666, 33, 681)(20, 668, 35, 683)(21, 669, 38, 686)(24, 672, 39, 687)(25, 673, 44, 692)(26, 674, 45, 693)(27, 675, 48, 696)(29, 677, 49, 697)(31, 679, 53, 701)(32, 680, 56, 704)(34, 682, 59, 707)(36, 684, 61, 709)(37, 685, 64, 712)(40, 688, 65, 713)(41, 689, 70, 718)(42, 690, 71, 719)(43, 691, 74, 722)(46, 694, 77, 725)(47, 695, 80, 728)(50, 698, 81, 729)(51, 699, 85, 733)(52, 700, 88, 736)(54, 702, 90, 738)(55, 703, 93, 741)(57, 705, 94, 742)(58, 706, 98, 746)(60, 708, 101, 749)(62, 710, 103, 751)(63, 711, 104, 752)(66, 714, 105, 753)(67, 715, 110, 758)(68, 716, 111, 759)(69, 717, 114, 762)(72, 720, 117, 765)(73, 721, 120, 768)(75, 723, 121, 769)(76, 724, 125, 773)(78, 726, 127, 775)(79, 727, 130, 778)(82, 730, 131, 779)(83, 731, 135, 783)(84, 732, 136, 784)(86, 734, 138, 786)(87, 735, 141, 789)(89, 737, 144, 792)(91, 739, 146, 794)(92, 740, 148, 796)(95, 743, 149, 797)(96, 744, 151, 799)(97, 745, 143, 791)(99, 747, 154, 802)(100, 748, 140, 788)(102, 750, 159, 807)(106, 754, 161, 809)(107, 755, 166, 814)(108, 756, 167, 815)(109, 757, 170, 818)(112, 760, 172, 820)(113, 761, 175, 823)(115, 763, 176, 824)(116, 764, 179, 827)(118, 766, 180, 828)(119, 767, 183, 831)(122, 770, 184, 832)(123, 771, 187, 835)(124, 772, 188, 836)(126, 774, 190, 838)(128, 776, 192, 840)(129, 777, 193, 841)(132, 780, 194, 842)(133, 781, 198, 846)(134, 782, 200, 848)(137, 785, 203, 851)(139, 787, 204, 852)(142, 790, 207, 855)(145, 793, 210, 858)(147, 795, 212, 860)(150, 798, 216, 864)(152, 800, 196, 844)(153, 801, 209, 857)(155, 803, 221, 869)(156, 804, 202, 850)(157, 805, 206, 854)(158, 806, 199, 847)(160, 808, 162, 810)(163, 811, 231, 879)(164, 812, 232, 880)(165, 813, 235, 883)(168, 816, 237, 885)(169, 817, 240, 888)(171, 819, 241, 889)(173, 821, 244, 892)(174, 822, 247, 895)(177, 825, 248, 896)(178, 826, 250, 898)(181, 829, 253, 901)(182, 830, 254, 902)(185, 833, 255, 903)(186, 834, 258, 906)(189, 837, 259, 907)(191, 839, 261, 909)(195, 843, 263, 911)(197, 845, 269, 917)(201, 849, 272, 920)(205, 853, 277, 925)(208, 856, 280, 928)(211, 859, 264, 912)(213, 861, 284, 932)(214, 862, 251, 899)(215, 863, 289, 937)(217, 865, 267, 915)(218, 866, 265, 913)(219, 867, 292, 940)(220, 868, 294, 942)(222, 870, 286, 934)(223, 871, 275, 923)(224, 872, 298, 946)(225, 873, 273, 921)(226, 874, 271, 919)(227, 875, 288, 936)(228, 876, 304, 952)(229, 877, 305, 953)(230, 878, 308, 956)(233, 881, 310, 958)(234, 882, 313, 961)(236, 884, 314, 962)(238, 886, 317, 965)(239, 887, 320, 968)(242, 890, 321, 969)(243, 891, 323, 971)(245, 893, 325, 973)(246, 894, 326, 974)(249, 897, 329, 977)(252, 900, 331, 979)(256, 904, 333, 981)(257, 905, 337, 985)(260, 908, 340, 988)(262, 910, 334, 982)(266, 914, 346, 994)(268, 916, 350, 998)(270, 918, 351, 999)(274, 922, 355, 1003)(276, 924, 357, 1005)(278, 926, 359, 1007)(279, 927, 361, 1009)(281, 929, 335, 983)(282, 930, 364, 1012)(283, 931, 336, 984)(285, 933, 358, 1006)(287, 935, 371, 1019)(290, 938, 372, 1020)(291, 939, 375, 1023)(293, 941, 377, 1025)(295, 943, 369, 1017)(296, 944, 367, 1015)(297, 945, 380, 1028)(299, 947, 365, 1013)(300, 948, 348, 996)(301, 949, 384, 1032)(302, 950, 373, 1021)(303, 951, 388, 1036)(306, 954, 389, 1037)(307, 955, 392, 1040)(309, 957, 393, 1041)(311, 959, 395, 1043)(312, 960, 398, 1046)(315, 963, 399, 1047)(316, 964, 401, 1049)(318, 966, 403, 1051)(319, 967, 404, 1052)(322, 970, 407, 1055)(324, 972, 408, 1056)(327, 975, 410, 1058)(328, 976, 414, 1062)(330, 978, 416, 1064)(332, 980, 411, 1059)(338, 986, 423, 1071)(339, 987, 427, 1075)(341, 989, 412, 1060)(342, 990, 413, 1061)(343, 991, 432, 1080)(344, 992, 422, 1070)(345, 993, 435, 1083)(347, 995, 436, 1084)(349, 997, 439, 1087)(352, 1000, 440, 1088)(353, 1001, 442, 1090)(354, 1002, 444, 1092)(356, 1004, 445, 1093)(360, 1008, 449, 1097)(362, 1010, 421, 1069)(363, 1011, 419, 1067)(366, 1014, 424, 1072)(368, 1016, 455, 1103)(370, 1018, 434, 1082)(374, 1022, 460, 1108)(376, 1024, 461, 1109)(378, 1026, 463, 1111)(379, 1027, 465, 1113)(381, 1029, 452, 1100)(382, 1030, 451, 1099)(383, 1031, 468, 1116)(385, 1033, 446, 1094)(386, 1034, 457, 1105)(387, 1035, 472, 1120)(390, 1038, 473, 1121)(391, 1039, 476, 1124)(394, 1042, 477, 1125)(396, 1044, 480, 1128)(397, 1045, 481, 1129)(400, 1048, 484, 1132)(402, 1050, 485, 1133)(405, 1053, 487, 1135)(406, 1054, 491, 1139)(409, 1057, 488, 1136)(415, 1063, 498, 1146)(417, 1065, 489, 1137)(418, 1066, 490, 1138)(420, 1068, 497, 1145)(425, 1073, 507, 1155)(426, 1074, 508, 1156)(428, 1076, 496, 1144)(429, 1077, 494, 1142)(430, 1078, 499, 1147)(431, 1079, 512, 1160)(433, 1081, 482, 1130)(437, 1085, 514, 1162)(438, 1086, 516, 1164)(441, 1089, 518, 1166)(443, 1091, 520, 1168)(447, 1095, 519, 1167)(448, 1096, 478, 1126)(450, 1098, 525, 1173)(453, 1101, 505, 1153)(454, 1102, 503, 1151)(456, 1104, 528, 1176)(458, 1106, 513, 1161)(459, 1107, 531, 1179)(462, 1110, 533, 1181)(464, 1112, 536, 1184)(466, 1114, 537, 1185)(467, 1115, 511, 1159)(469, 1117, 522, 1170)(470, 1118, 541, 1189)(471, 1119, 543, 1191)(474, 1122, 544, 1192)(475, 1123, 545, 1193)(479, 1127, 548, 1196)(483, 1131, 552, 1200)(486, 1134, 550, 1198)(492, 1140, 558, 1206)(493, 1141, 551, 1199)(495, 1143, 557, 1205)(500, 1148, 565, 1213)(501, 1149, 556, 1204)(502, 1150, 559, 1207)(504, 1152, 546, 1194)(506, 1154, 569, 1217)(509, 1157, 570, 1218)(510, 1158, 563, 1211)(515, 1163, 575, 1223)(517, 1165, 561, 1209)(521, 1169, 577, 1225)(523, 1171, 578, 1226)(524, 1172, 581, 1229)(526, 1174, 584, 1232)(527, 1175, 585, 1233)(529, 1177, 574, 1222)(530, 1178, 588, 1236)(532, 1180, 587, 1235)(534, 1182, 571, 1219)(535, 1183, 593, 1241)(538, 1186, 582, 1230)(539, 1187, 573, 1221)(540, 1188, 580, 1228)(542, 1190, 597, 1245)(547, 1195, 602, 1250)(549, 1197, 600, 1248)(553, 1201, 606, 1254)(554, 1202, 601, 1249)(555, 1203, 605, 1253)(560, 1208, 612, 1260)(562, 1210, 598, 1246)(564, 1212, 615, 1263)(566, 1214, 610, 1258)(567, 1215, 617, 1265)(568, 1216, 608, 1256)(572, 1220, 620, 1268)(576, 1224, 613, 1261)(579, 1227, 623, 1271)(583, 1231, 626, 1274)(586, 1234, 621, 1269)(589, 1237, 627, 1275)(590, 1238, 599, 1247)(591, 1239, 619, 1267)(592, 1240, 603, 1251)(594, 1242, 624, 1272)(595, 1243, 607, 1255)(596, 1244, 609, 1257)(604, 1252, 628, 1276)(611, 1259, 631, 1279)(614, 1262, 629, 1277)(616, 1264, 634, 1282)(618, 1266, 630, 1278)(622, 1270, 637, 1285)(625, 1273, 635, 1283)(632, 1280, 642, 1290)(633, 1281, 639, 1287)(636, 1284, 643, 1291)(638, 1286, 641, 1289)(640, 1288, 646, 1294)(644, 1292, 647, 1295)(645, 1293, 648, 1296)
	L = (1, 650)(2, 653)(3, 655)(4, 649)(5, 659)(6, 661)(7, 663)(8, 651)(9, 666)(10, 652)(11, 669)(12, 671)(13, 673)(14, 654)(15, 675)(16, 657)(17, 656)(18, 680)(19, 682)(20, 658)(21, 685)(22, 687)(23, 689)(24, 660)(25, 691)(26, 662)(27, 695)(28, 697)(29, 664)(30, 700)(31, 665)(32, 703)(33, 667)(34, 706)(35, 708)(36, 668)(37, 711)(38, 713)(39, 715)(40, 670)(41, 717)(42, 672)(43, 721)(44, 678)(45, 724)(46, 674)(47, 727)(48, 729)(49, 731)(50, 676)(51, 677)(52, 735)(53, 737)(54, 679)(55, 740)(56, 742)(57, 681)(58, 745)(59, 683)(60, 748)(61, 750)(62, 684)(63, 710)(64, 753)(65, 755)(66, 686)(67, 757)(68, 688)(69, 761)(70, 693)(71, 764)(72, 690)(73, 767)(74, 769)(75, 692)(76, 772)(77, 774)(78, 694)(79, 777)(80, 779)(81, 781)(82, 696)(83, 782)(84, 698)(85, 785)(86, 699)(87, 788)(88, 701)(89, 791)(90, 793)(91, 702)(92, 795)(93, 797)(94, 798)(95, 704)(96, 705)(97, 801)(98, 802)(99, 707)(100, 804)(101, 709)(102, 806)(103, 808)(104, 809)(105, 811)(106, 712)(107, 813)(108, 714)(109, 817)(110, 719)(111, 732)(112, 716)(113, 822)(114, 824)(115, 718)(116, 743)(117, 730)(118, 720)(119, 830)(120, 832)(121, 834)(122, 722)(123, 723)(124, 746)(125, 725)(126, 741)(127, 839)(128, 726)(129, 739)(130, 842)(131, 828)(132, 728)(133, 845)(134, 847)(135, 733)(136, 820)(137, 850)(138, 833)(139, 734)(140, 854)(141, 855)(142, 736)(143, 836)(144, 738)(145, 823)(146, 859)(147, 853)(148, 838)(149, 862)(150, 863)(151, 865)(152, 744)(153, 867)(154, 868)(155, 747)(156, 871)(157, 749)(158, 873)(159, 751)(160, 875)(161, 876)(162, 752)(163, 878)(164, 754)(165, 882)(166, 759)(167, 771)(168, 756)(169, 887)(170, 889)(171, 758)(172, 770)(173, 760)(174, 894)(175, 896)(176, 897)(177, 762)(178, 763)(179, 765)(180, 900)(181, 766)(182, 776)(183, 903)(184, 892)(185, 768)(186, 905)(187, 885)(188, 907)(189, 773)(190, 775)(191, 888)(192, 910)(193, 911)(194, 913)(195, 778)(196, 780)(197, 916)(198, 784)(199, 919)(200, 920)(201, 783)(202, 789)(203, 786)(204, 924)(205, 787)(206, 926)(207, 927)(208, 790)(209, 792)(210, 794)(211, 931)(212, 932)(213, 796)(214, 935)(215, 936)(216, 799)(217, 921)(218, 800)(219, 939)(220, 941)(221, 943)(222, 803)(223, 945)(224, 805)(225, 948)(226, 807)(227, 950)(228, 951)(229, 810)(230, 955)(231, 815)(232, 826)(233, 812)(234, 960)(235, 962)(236, 814)(237, 825)(238, 816)(239, 967)(240, 969)(241, 970)(242, 818)(243, 819)(244, 972)(245, 821)(246, 829)(247, 858)(248, 965)(249, 976)(250, 958)(251, 827)(252, 961)(253, 980)(254, 981)(255, 852)(256, 831)(257, 984)(258, 835)(259, 987)(260, 837)(261, 840)(262, 990)(263, 991)(264, 841)(265, 993)(266, 843)(267, 844)(268, 997)(269, 999)(270, 846)(271, 964)(272, 1002)(273, 848)(274, 849)(275, 851)(276, 998)(277, 1006)(278, 957)(279, 1008)(280, 1010)(281, 856)(282, 857)(283, 1014)(284, 1015)(285, 860)(286, 861)(287, 1018)(288, 953)(289, 1020)(290, 864)(291, 866)(292, 1012)(293, 952)(294, 869)(295, 1021)(296, 870)(297, 1027)(298, 1029)(299, 872)(300, 1031)(301, 874)(302, 1034)(303, 1035)(304, 880)(305, 891)(306, 877)(307, 1039)(308, 1041)(309, 879)(310, 890)(311, 881)(312, 1045)(313, 1047)(314, 1048)(315, 883)(316, 884)(317, 1050)(318, 886)(319, 893)(320, 909)(321, 1043)(322, 1054)(323, 1037)(324, 1040)(325, 1057)(326, 1058)(327, 895)(328, 1061)(329, 898)(330, 899)(331, 901)(332, 1066)(333, 1067)(334, 902)(335, 904)(336, 1070)(337, 1071)(338, 906)(339, 1074)(340, 1076)(341, 908)(342, 1078)(343, 1079)(344, 912)(345, 1082)(346, 922)(347, 914)(348, 915)(349, 1065)(350, 1088)(351, 1089)(352, 917)(353, 918)(354, 1091)(355, 1084)(356, 923)(357, 925)(358, 1095)(359, 946)(360, 1080)(361, 928)(362, 1072)(363, 929)(364, 1099)(365, 930)(366, 1101)(367, 1102)(368, 933)(369, 934)(370, 1077)(371, 1064)(372, 1107)(373, 937)(374, 938)(375, 1109)(376, 940)(377, 1111)(378, 942)(379, 944)(380, 1093)(381, 1036)(382, 947)(383, 1115)(384, 1042)(385, 949)(386, 1118)(387, 1119)(388, 1025)(389, 963)(390, 954)(391, 1123)(392, 1125)(393, 1126)(394, 956)(395, 1127)(396, 959)(397, 966)(398, 979)(399, 1121)(400, 1131)(401, 1032)(402, 1120)(403, 1134)(404, 1135)(405, 968)(406, 1138)(407, 971)(408, 973)(409, 1141)(410, 1142)(411, 974)(412, 975)(413, 1145)(414, 1146)(415, 977)(416, 1149)(417, 978)(418, 1150)(419, 1151)(420, 982)(421, 983)(422, 1001)(423, 1154)(424, 985)(425, 986)(426, 1011)(427, 988)(428, 1147)(429, 989)(430, 1158)(431, 1159)(432, 994)(433, 992)(434, 1161)(435, 1023)(436, 1000)(437, 995)(438, 996)(439, 1005)(440, 1162)(441, 1165)(442, 1130)(443, 1167)(444, 1003)(445, 1170)(446, 1004)(447, 1171)(448, 1007)(449, 1173)(450, 1009)(451, 1160)(452, 1013)(453, 1175)(454, 1156)(455, 1022)(456, 1016)(457, 1017)(458, 1019)(459, 1178)(460, 1176)(461, 1180)(462, 1024)(463, 1183)(464, 1026)(465, 1185)(466, 1028)(467, 1030)(468, 1164)(469, 1033)(470, 1188)(471, 1190)(472, 1100)(473, 1086)(474, 1038)(475, 1044)(476, 1056)(477, 1094)(478, 1195)(479, 1105)(480, 1197)(481, 1081)(482, 1046)(483, 1199)(484, 1049)(485, 1051)(486, 1202)(487, 1087)(488, 1052)(489, 1053)(490, 1205)(491, 1206)(492, 1055)(493, 1209)(494, 1083)(495, 1059)(496, 1060)(497, 1073)(498, 1212)(499, 1062)(500, 1063)(501, 1207)(502, 1214)(503, 1113)(504, 1068)(505, 1069)(506, 1216)(507, 1194)(508, 1218)(509, 1075)(510, 1220)(511, 1221)(512, 1097)(513, 1222)(514, 1215)(515, 1085)(516, 1192)(517, 1200)(518, 1090)(519, 1103)(520, 1225)(521, 1092)(522, 1226)(523, 1228)(524, 1096)(525, 1231)(526, 1098)(527, 1211)(528, 1106)(529, 1104)(530, 1235)(531, 1108)(532, 1238)(533, 1112)(534, 1110)(535, 1240)(536, 1219)(537, 1242)(538, 1114)(539, 1116)(540, 1117)(541, 1196)(542, 1122)(543, 1133)(544, 1247)(545, 1152)(546, 1124)(547, 1249)(548, 1128)(549, 1251)(550, 1129)(551, 1253)(552, 1254)(553, 1132)(554, 1256)(555, 1136)(556, 1137)(557, 1148)(558, 1259)(559, 1139)(560, 1140)(561, 1261)(562, 1143)(563, 1144)(564, 1262)(565, 1246)(566, 1264)(567, 1153)(568, 1250)(569, 1155)(570, 1267)(571, 1157)(572, 1258)(573, 1252)(574, 1163)(575, 1269)(576, 1166)(577, 1270)(578, 1168)(579, 1169)(580, 1257)(581, 1174)(582, 1172)(583, 1273)(584, 1186)(585, 1265)(586, 1177)(587, 1181)(588, 1275)(589, 1179)(590, 1245)(591, 1182)(592, 1272)(593, 1184)(594, 1248)(595, 1187)(596, 1189)(597, 1210)(598, 1191)(599, 1236)(600, 1193)(601, 1276)(602, 1229)(603, 1277)(604, 1198)(605, 1208)(606, 1227)(607, 1201)(608, 1278)(609, 1203)(610, 1204)(611, 1237)(612, 1244)(613, 1280)(614, 1241)(615, 1213)(616, 1224)(617, 1223)(618, 1217)(619, 1234)(620, 1233)(621, 1283)(622, 1284)(623, 1243)(624, 1230)(625, 1239)(626, 1232)(627, 1286)(628, 1255)(629, 1287)(630, 1288)(631, 1260)(632, 1266)(633, 1263)(634, 1268)(635, 1291)(636, 1274)(637, 1271)(638, 1292)(639, 1293)(640, 1281)(641, 1279)(642, 1282)(643, 1295)(644, 1285)(645, 1289)(646, 1290)(647, 1296)(648, 1294)
	local type(s) :: { ( 3, 12, 3, 12 ) }
Outer automorphisms :: reflexible
Dual of E28.3348
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 324 e = 648 f = 270
	degree seq :: [ 4^324 ]

E28.3353 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 12})
Quotient :: dipole
Aut^+ = $<648, 703>$ (small group id <648, 703>)
Aut   = $<1296, 3492>$ (small group id <1296, 3492>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, Y2^3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1)^2, (Y1 * Y2)^12, (Y3 * Y2^-1)^12, (Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1)^2 ]
Map::
	R = (1, 649, 2, 650)(3, 651, 7, 655)(4, 652, 8, 656)(5, 653, 9, 657)(6, 654, 10, 658)(11, 659, 19, 667)(12, 660, 20, 668)(13, 661, 21, 669)(14, 662, 22, 670)(15, 663, 23, 671)(16, 664, 24, 672)(17, 665, 25, 673)(18, 666, 26, 674)(27, 675, 43, 691)(28, 676, 44, 692)(29, 677, 45, 693)(30, 678, 46, 694)(31, 679, 47, 695)(32, 680, 48, 696)(33, 681, 49, 697)(34, 682, 50, 698)(35, 683, 51, 699)(36, 684, 52, 700)(37, 685, 53, 701)(38, 686, 54, 702)(39, 687, 55, 703)(40, 688, 56, 704)(41, 689, 57, 705)(42, 690, 58, 706)(59, 707, 91, 739)(60, 708, 92, 740)(61, 709, 93, 741)(62, 710, 94, 742)(63, 711, 95, 743)(64, 712, 96, 744)(65, 713, 97, 745)(66, 714, 98, 746)(67, 715, 99, 747)(68, 716, 100, 748)(69, 717, 101, 749)(70, 718, 102, 750)(71, 719, 103, 751)(72, 720, 104, 752)(73, 721, 105, 753)(74, 722, 106, 754)(75, 723, 107, 755)(76, 724, 108, 756)(77, 725, 109, 757)(78, 726, 110, 758)(79, 727, 111, 759)(80, 728, 112, 760)(81, 729, 113, 761)(82, 730, 114, 762)(83, 731, 115, 763)(84, 732, 116, 764)(85, 733, 117, 765)(86, 734, 118, 766)(87, 735, 119, 767)(88, 736, 120, 768)(89, 737, 121, 769)(90, 738, 122, 770)(123, 771, 187, 835)(124, 772, 188, 836)(125, 773, 189, 837)(126, 774, 162, 810)(127, 775, 190, 838)(128, 776, 191, 839)(129, 777, 174, 822)(130, 778, 158, 806)(131, 779, 192, 840)(132, 780, 193, 841)(133, 781, 194, 842)(134, 782, 195, 843)(135, 783, 180, 828)(136, 784, 196, 844)(137, 785, 172, 820)(138, 786, 197, 845)(139, 787, 198, 846)(140, 788, 169, 817)(141, 789, 199, 847)(142, 790, 161, 809)(143, 791, 200, 848)(144, 792, 201, 849)(145, 793, 202, 850)(146, 794, 203, 851)(147, 795, 183, 831)(148, 796, 167, 815)(149, 797, 204, 852)(150, 798, 205, 853)(151, 799, 179, 827)(152, 800, 206, 854)(153, 801, 207, 855)(154, 802, 208, 856)(155, 803, 209, 857)(156, 804, 210, 858)(157, 805, 211, 859)(159, 807, 212, 860)(160, 808, 213, 861)(163, 811, 214, 862)(164, 812, 215, 863)(165, 813, 216, 864)(166, 814, 217, 865)(168, 816, 218, 866)(170, 818, 219, 867)(171, 819, 220, 868)(173, 821, 221, 869)(175, 823, 222, 870)(176, 824, 223, 871)(177, 825, 224, 872)(178, 826, 225, 873)(181, 829, 226, 874)(182, 830, 227, 875)(184, 832, 228, 876)(185, 833, 229, 877)(186, 834, 230, 878)(231, 879, 455, 1103)(232, 880, 296, 944)(233, 881, 457, 1105)(234, 882, 396, 1044)(235, 883, 319, 967)(236, 884, 459, 1107)(237, 885, 286, 934)(238, 886, 300, 948)(239, 887, 461, 1109)(240, 888, 364, 1012)(241, 889, 463, 1111)(242, 890, 465, 1113)(243, 891, 278, 926)(244, 892, 466, 1114)(245, 893, 468, 1116)(246, 894, 353, 1001)(247, 895, 408, 1056)(248, 896, 324, 972)(249, 897, 402, 1050)(250, 898, 471, 1119)(251, 899, 316, 964)(252, 900, 360, 1008)(253, 901, 325, 973)(254, 902, 474, 1122)(255, 903, 302, 950)(256, 904, 320, 968)(257, 905, 476, 1124)(258, 906, 478, 1126)(259, 907, 271, 919)(260, 908, 405, 1053)(261, 909, 480, 1128)(262, 910, 411, 1059)(263, 911, 399, 1047)(264, 912, 299, 947)(265, 913, 428, 1076)(266, 914, 484, 1132)(267, 915, 488, 1136)(268, 916, 491, 1139)(269, 917, 495, 1143)(270, 918, 498, 1146)(272, 920, 502, 1150)(273, 921, 505, 1153)(274, 922, 508, 1156)(275, 923, 511, 1159)(276, 924, 514, 1162)(277, 925, 517, 1165)(279, 927, 521, 1169)(280, 928, 524, 1172)(281, 929, 527, 1175)(282, 930, 529, 1177)(283, 931, 532, 1180)(284, 932, 535, 1183)(285, 933, 538, 1186)(287, 935, 542, 1190)(288, 936, 544, 1192)(289, 937, 534, 1182)(290, 938, 549, 1197)(291, 939, 551, 1199)(292, 940, 553, 1201)(293, 941, 453, 1101)(294, 942, 433, 1081)(295, 943, 559, 1207)(297, 945, 562, 1210)(298, 946, 558, 1206)(301, 949, 566, 1214)(303, 951, 568, 1216)(304, 952, 570, 1218)(305, 953, 540, 1188)(306, 954, 574, 1222)(307, 955, 576, 1224)(308, 956, 513, 1161)(309, 957, 581, 1229)(310, 958, 582, 1230)(311, 959, 475, 1123)(312, 960, 548, 1196)(313, 961, 464, 1112)(314, 962, 588, 1236)(315, 963, 507, 1155)(317, 965, 440, 1088)(318, 966, 526, 1174)(321, 969, 597, 1245)(322, 970, 445, 1093)(323, 971, 552, 1200)(326, 974, 599, 1247)(327, 975, 600, 1248)(328, 976, 417, 1065)(329, 977, 519, 1167)(330, 978, 497, 1145)(331, 979, 447, 1095)(332, 980, 469, 1117)(333, 981, 420, 1068)(334, 982, 563, 1211)(335, 983, 441, 1089)(336, 984, 421, 1069)(337, 985, 605, 1253)(338, 986, 606, 1254)(339, 987, 439, 1087)(340, 988, 394, 1042)(341, 989, 564, 1212)(342, 990, 397, 1045)(343, 991, 565, 1213)(344, 992, 490, 1138)(345, 993, 613, 1261)(346, 994, 444, 1092)(347, 995, 460, 1108)(348, 996, 580, 1228)(349, 997, 400, 1048)(350, 998, 434, 1082)(351, 999, 504, 1152)(352, 1000, 621, 1269)(354, 1002, 372, 1020)(355, 1003, 554, 1202)(356, 1004, 375, 1023)(357, 1005, 556, 1204)(358, 1006, 487, 1135)(359, 1007, 624, 1272)(361, 1009, 625, 1273)(362, 1010, 593, 1241)(363, 1011, 378, 1026)(365, 1013, 510, 1158)(366, 1014, 630, 1278)(367, 1015, 426, 1074)(368, 1016, 500, 1148)(369, 1017, 486, 1134)(370, 1018, 520, 1168)(371, 1019, 481, 1129)(373, 1021, 595, 1243)(374, 1022, 431, 1079)(376, 1024, 618, 1266)(377, 1025, 603, 1251)(379, 1027, 516, 1164)(380, 1028, 493, 1141)(381, 1029, 501, 1149)(382, 1030, 404, 1052)(383, 1031, 412, 1060)(384, 1032, 592, 1240)(385, 1033, 635, 1283)(386, 1034, 413, 1061)(387, 1035, 590, 1238)(388, 1036, 619, 1267)(389, 1037, 452, 1100)(390, 1038, 494, 1142)(391, 1039, 489, 1137)(392, 1040, 528, 1176)(393, 1041, 560, 1208)(395, 1043, 602, 1250)(398, 1046, 629, 1277)(401, 1049, 523, 1171)(403, 1051, 496, 1144)(406, 1054, 579, 1227)(407, 1055, 639, 1287)(409, 1057, 578, 1226)(410, 1058, 626, 1274)(414, 1062, 435, 1083)(415, 1063, 643, 1291)(416, 1064, 448, 1096)(418, 1066, 531, 1179)(419, 1067, 644, 1292)(422, 1070, 550, 1198)(423, 1071, 438, 1086)(424, 1072, 646, 1294)(425, 1073, 620, 1268)(427, 1075, 537, 1185)(429, 1077, 615, 1263)(430, 1078, 451, 1099)(432, 1080, 569, 1217)(436, 1084, 610, 1258)(437, 1085, 546, 1194)(442, 1090, 561, 1209)(443, 1091, 458, 1106)(446, 1094, 555, 1203)(449, 1097, 503, 1151)(450, 1098, 648, 1296)(454, 1102, 472, 1120)(456, 1104, 591, 1239)(462, 1110, 631, 1279)(467, 1115, 485, 1133)(470, 1118, 547, 1195)(473, 1121, 506, 1154)(477, 1125, 634, 1282)(479, 1127, 492, 1140)(482, 1130, 573, 1221)(483, 1131, 572, 1220)(499, 1147, 642, 1290)(509, 1157, 638, 1286)(512, 1160, 607, 1255)(515, 1163, 645, 1293)(518, 1166, 623, 1271)(522, 1170, 647, 1295)(525, 1173, 609, 1257)(530, 1178, 627, 1275)(533, 1181, 614, 1262)(536, 1184, 637, 1285)(539, 1187, 583, 1231)(541, 1189, 616, 1264)(543, 1191, 611, 1259)(545, 1193, 632, 1280)(557, 1205, 585, 1233)(567, 1215, 586, 1234)(571, 1219, 636, 1284)(575, 1223, 587, 1235)(577, 1225, 604, 1252)(584, 1232, 640, 1288)(589, 1237, 598, 1246)(594, 1242, 628, 1276)(596, 1244, 617, 1265)(601, 1249, 641, 1289)(608, 1256, 622, 1270)(612, 1260, 633, 1281)(1297, 1945, 1299, 1947, 1300, 1948)(1298, 1946, 1301, 1949, 1302, 1950)(1303, 1951, 1307, 1955, 1308, 1956)(1304, 1952, 1309, 1957, 1310, 1958)(1305, 1953, 1311, 1959, 1312, 1960)(1306, 1954, 1313, 1961, 1314, 1962)(1315, 1963, 1323, 1971, 1324, 1972)(1316, 1964, 1325, 1973, 1326, 1974)(1317, 1965, 1327, 1975, 1328, 1976)(1318, 1966, 1329, 1977, 1330, 1978)(1319, 1967, 1331, 1979, 1332, 1980)(1320, 1968, 1333, 1981, 1334, 1982)(1321, 1969, 1335, 1983, 1336, 1984)(1322, 1970, 1337, 1985, 1338, 1986)(1339, 1987, 1355, 2003, 1356, 2004)(1340, 1988, 1357, 2005, 1358, 2006)(1341, 1989, 1359, 2007, 1360, 2008)(1342, 1990, 1361, 2009, 1362, 2010)(1343, 1991, 1363, 2011, 1364, 2012)(1344, 1992, 1365, 2013, 1366, 2014)(1345, 1993, 1367, 2015, 1368, 2016)(1346, 1994, 1369, 2017, 1370, 2018)(1347, 1995, 1371, 2019, 1372, 2020)(1348, 1996, 1373, 2021, 1374, 2022)(1349, 1997, 1375, 2023, 1376, 2024)(1350, 1998, 1377, 2025, 1378, 2026)(1351, 1999, 1379, 2027, 1380, 2028)(1352, 2000, 1381, 2029, 1382, 2030)(1353, 2001, 1383, 2031, 1384, 2032)(1354, 2002, 1385, 2033, 1386, 2034)(1387, 2035, 1419, 2067, 1420, 2068)(1388, 2036, 1421, 2069, 1422, 2070)(1389, 2037, 1423, 2071, 1424, 2072)(1390, 2038, 1425, 2073, 1426, 2074)(1391, 2039, 1427, 2075, 1428, 2076)(1392, 2040, 1429, 2077, 1430, 2078)(1393, 2041, 1431, 2079, 1432, 2080)(1394, 2042, 1433, 2081, 1434, 2082)(1395, 2043, 1435, 2083, 1436, 2084)(1396, 2044, 1437, 2085, 1438, 2086)(1397, 2045, 1439, 2087, 1440, 2088)(1398, 2046, 1441, 2089, 1442, 2090)(1399, 2047, 1443, 2091, 1444, 2092)(1400, 2048, 1445, 2093, 1446, 2094)(1401, 2049, 1447, 2095, 1448, 2096)(1402, 2050, 1449, 2097, 1450, 2098)(1403, 2051, 1451, 2099, 1452, 2100)(1404, 2052, 1453, 2101, 1454, 2102)(1405, 2053, 1455, 2103, 1456, 2104)(1406, 2054, 1457, 2105, 1458, 2106)(1407, 2055, 1459, 2107, 1460, 2108)(1408, 2056, 1461, 2109, 1462, 2110)(1409, 2057, 1463, 2111, 1464, 2112)(1410, 2058, 1465, 2113, 1466, 2114)(1411, 2059, 1467, 2115, 1468, 2116)(1412, 2060, 1469, 2117, 1470, 2118)(1413, 2061, 1471, 2119, 1472, 2120)(1414, 2062, 1473, 2121, 1474, 2122)(1415, 2063, 1475, 2123, 1476, 2124)(1416, 2064, 1477, 2125, 1478, 2126)(1417, 2065, 1479, 2127, 1480, 2128)(1418, 2066, 1481, 2129, 1482, 2130)(1483, 2131, 1527, 2175, 1528, 2176)(1484, 2132, 1529, 2177, 1499, 2147)(1485, 2133, 1530, 2178, 1531, 2179)(1486, 2134, 1532, 2180, 1533, 2181)(1487, 2135, 1534, 2182, 1535, 2183)(1488, 2136, 1536, 2184, 1503, 2151)(1489, 2137, 1537, 2185, 1498, 2146)(1490, 2138, 1538, 2186, 1539, 2187)(1491, 2139, 1540, 2188, 1541, 2189)(1492, 2140, 1542, 2190, 1543, 2191)(1493, 2141, 1544, 2192, 1545, 2193)(1494, 2142, 1546, 2194, 1547, 2195)(1495, 2143, 1548, 2196, 1549, 2197)(1496, 2144, 1550, 2198, 1551, 2199)(1497, 2145, 1552, 2200, 1553, 2201)(1500, 2148, 1554, 2202, 1555, 2203)(1501, 2149, 1556, 2204, 1557, 2205)(1502, 2150, 1558, 2206, 1559, 2207)(1504, 2152, 1560, 2208, 1561, 2209)(1505, 2153, 1724, 2372, 1845, 2493)(1506, 2154, 1711, 2359, 1521, 2169)(1507, 2155, 1727, 2375, 1793, 2441)(1508, 2156, 1728, 2376, 1825, 2473)(1509, 2157, 1729, 2377, 1929, 2577)(1510, 2158, 1730, 2378, 1525, 2173)(1511, 2159, 1732, 2380, 1520, 2168)(1512, 2160, 1733, 2381, 1823, 2471)(1513, 2161, 1714, 2362, 1718, 2366)(1514, 2162, 1735, 2383, 1709, 2357)(1515, 2163, 1737, 2385, 1789, 2437)(1516, 2164, 1738, 2386, 1896, 2544)(1517, 2165, 1740, 2388, 1717, 2365)(1518, 2166, 1742, 2390, 1877, 2525)(1519, 2167, 1743, 2391, 1721, 2369)(1522, 2170, 1745, 2393, 1791, 2439)(1523, 2171, 1708, 2356, 1937, 2585)(1524, 2172, 1747, 2395, 1899, 2547)(1526, 2174, 1749, 2397, 1751, 2399)(1562, 2210, 1781, 2429, 1783, 2431)(1563, 2211, 1758, 2406, 1786, 2434)(1564, 2212, 1788, 2436, 1790, 2438)(1565, 2213, 1792, 2440, 1734, 2382)(1566, 2214, 1795, 2443, 1796, 2444)(1567, 2215, 1797, 2445, 1712, 2360)(1568, 2216, 1773, 2421, 1800, 2448)(1569, 2217, 1691, 2339, 1803, 2451)(1570, 2218, 1805, 2453, 1806, 2454)(1571, 2219, 1669, 2317, 1809, 2457)(1572, 2220, 1811, 2459, 1812, 2460)(1573, 2221, 1814, 2462, 1815, 2463)(1574, 2222, 1816, 2464, 1658, 2306)(1575, 2223, 1818, 2466, 1819, 2467)(1576, 2224, 1821, 2469, 1822, 2470)(1577, 2225, 1824, 2472, 1644, 2292)(1578, 2226, 1826, 2474, 1827, 2475)(1579, 2227, 1680, 2328, 1830, 2478)(1580, 2228, 1832, 2480, 1833, 2481)(1581, 2229, 1630, 2278, 1836, 2484)(1582, 2230, 1837, 2485, 1762, 2410)(1583, 2231, 1702, 2350, 1834, 2482)(1584, 2232, 1841, 2489, 1768, 2416)(1585, 2233, 1619, 2267, 1844, 2492)(1586, 2234, 1746, 2394, 1846, 2494)(1587, 2235, 1725, 2373, 1848, 2496)(1588, 2236, 1850, 2498, 1608, 2256)(1589, 2237, 1851, 2499, 1852, 2500)(1590, 2238, 1853, 2501, 1854, 2502)(1591, 2239, 1856, 2504, 1637, 2285)(1592, 2240, 1720, 2368, 1764, 2412)(1593, 2241, 1706, 2354, 1859, 2507)(1594, 2242, 1860, 2508, 1601, 2249)(1595, 2243, 1770, 2418, 1861, 2509)(1596, 2244, 1779, 2427, 1849, 2497)(1597, 2245, 1777, 2425, 1651, 2299)(1598, 2246, 1863, 2511, 1701, 2349)(1599, 2247, 1766, 2414, 1807, 2455)(1600, 2248, 1867, 2515, 1684, 2332)(1602, 2250, 1778, 2426, 1828, 2476)(1603, 2251, 1873, 2521, 1752, 2400)(1604, 2252, 1614, 2262, 1876, 2524)(1605, 2253, 1869, 2517, 1679, 2327)(1606, 2254, 1879, 2527, 1801, 2449)(1607, 2255, 1880, 2528, 1662, 2310)(1609, 2257, 1882, 2530, 1838, 2486)(1610, 2258, 1885, 2533, 1887, 2535)(1611, 2259, 1625, 2273, 1889, 2537)(1612, 2260, 1657, 2305, 1776, 2424)(1613, 2261, 1715, 2363, 1891, 2539)(1615, 2263, 1820, 2468, 1892, 2540)(1616, 2264, 1705, 2353, 1855, 2503)(1617, 2265, 1700, 2348, 1689, 2337)(1618, 2266, 1648, 2296, 1888, 2536)(1620, 2268, 1755, 2403, 1884, 2532)(1621, 2269, 1847, 2495, 1894, 2542)(1622, 2270, 1765, 2413, 1688, 2336)(1623, 2271, 1643, 2291, 1897, 2545)(1624, 2272, 1739, 2387, 1898, 2546)(1626, 2274, 1813, 2461, 1890, 2538)(1627, 2275, 1683, 2331, 1862, 2510)(1628, 2276, 1678, 2326, 1667, 2315)(1629, 2277, 1634, 2282, 1875, 2523)(1631, 2279, 1865, 2513, 1872, 2520)(1632, 2280, 1858, 2506, 1900, 2548)(1633, 2281, 1893, 2541, 1666, 2314)(1635, 2283, 1903, 2551, 1784, 2432)(1636, 2284, 1904, 2552, 1673, 2321)(1638, 2286, 1906, 2554, 1864, 2512)(1639, 2287, 1908, 2556, 1750, 2398)(1640, 2288, 1664, 2312, 1744, 2392)(1641, 2289, 1843, 2491, 1668, 2316)(1642, 2290, 1910, 2558, 1798, 2446)(1645, 2293, 1912, 2560, 1870, 2518)(1646, 2294, 1913, 2561, 1915, 2563)(1647, 2295, 1675, 2323, 1916, 2564)(1649, 2297, 1769, 2417, 1780, 2428)(1650, 2298, 1918, 2566, 1695, 2343)(1652, 2300, 1759, 2407, 1878, 2526)(1653, 2301, 1757, 2405, 1723, 2371)(1654, 2302, 1686, 2334, 1719, 2367)(1655, 2303, 1835, 2483, 1690, 2338)(1656, 2304, 1907, 2555, 1804, 2452)(1659, 2307, 1923, 2571, 1760, 2408)(1660, 2308, 1924, 2572, 1926, 2574)(1661, 2309, 1697, 2345, 1772, 2420)(1663, 2311, 1925, 2573, 1927, 2575)(1665, 2313, 1794, 2442, 1726, 2374)(1670, 2318, 1871, 2519, 1840, 2488)(1671, 2319, 1736, 2384, 1928, 2576)(1672, 2320, 1895, 2543, 1677, 2325)(1674, 2322, 1748, 2396, 1930, 2578)(1676, 2324, 1810, 2458, 1857, 2505)(1681, 2329, 1839, 2487, 1866, 2514)(1682, 2330, 1741, 2389, 1932, 2580)(1685, 2333, 1914, 2562, 1763, 2411)(1687, 2335, 1787, 2435, 1707, 2355)(1692, 2340, 1883, 2531, 1831, 2479)(1693, 2341, 1713, 2361, 1933, 2581)(1694, 2342, 1901, 2549, 1699, 2347)(1696, 2344, 1722, 2370, 1934, 2582)(1698, 2346, 1817, 2465, 1767, 2415)(1703, 2351, 1829, 2477, 1771, 2419)(1704, 2352, 1716, 2364, 1936, 2584)(1710, 2358, 1808, 2456, 1756, 2404)(1731, 2379, 1802, 2450, 1921, 2569)(1753, 2401, 1931, 2579, 1782, 2430)(1754, 2402, 1886, 2534, 1775, 2423)(1761, 2409, 1943, 2591, 1902, 2550)(1774, 2422, 1944, 2592, 1909, 2557)(1785, 2433, 1939, 2587, 1935, 2583)(1799, 2447, 1942, 2590, 1920, 2568)(1842, 2490, 1941, 2589, 1917, 2565)(1868, 2516, 1919, 2567, 1922, 2570)(1874, 2522, 1938, 2586, 1940, 2588)(1881, 2529, 1905, 2553, 1911, 2559)
	L = (1, 1298)(2, 1297)(3, 1303)(4, 1304)(5, 1305)(6, 1306)(7, 1299)(8, 1300)(9, 1301)(10, 1302)(11, 1315)(12, 1316)(13, 1317)(14, 1318)(15, 1319)(16, 1320)(17, 1321)(18, 1322)(19, 1307)(20, 1308)(21, 1309)(22, 1310)(23, 1311)(24, 1312)(25, 1313)(26, 1314)(27, 1339)(28, 1340)(29, 1341)(30, 1342)(31, 1343)(32, 1344)(33, 1345)(34, 1346)(35, 1347)(36, 1348)(37, 1349)(38, 1350)(39, 1351)(40, 1352)(41, 1353)(42, 1354)(43, 1323)(44, 1324)(45, 1325)(46, 1326)(47, 1327)(48, 1328)(49, 1329)(50, 1330)(51, 1331)(52, 1332)(53, 1333)(54, 1334)(55, 1335)(56, 1336)(57, 1337)(58, 1338)(59, 1387)(60, 1388)(61, 1389)(62, 1390)(63, 1391)(64, 1392)(65, 1393)(66, 1394)(67, 1395)(68, 1396)(69, 1397)(70, 1398)(71, 1399)(72, 1400)(73, 1401)(74, 1402)(75, 1403)(76, 1404)(77, 1405)(78, 1406)(79, 1407)(80, 1408)(81, 1409)(82, 1410)(83, 1411)(84, 1412)(85, 1413)(86, 1414)(87, 1415)(88, 1416)(89, 1417)(90, 1418)(91, 1355)(92, 1356)(93, 1357)(94, 1358)(95, 1359)(96, 1360)(97, 1361)(98, 1362)(99, 1363)(100, 1364)(101, 1365)(102, 1366)(103, 1367)(104, 1368)(105, 1369)(106, 1370)(107, 1371)(108, 1372)(109, 1373)(110, 1374)(111, 1375)(112, 1376)(113, 1377)(114, 1378)(115, 1379)(116, 1380)(117, 1381)(118, 1382)(119, 1383)(120, 1384)(121, 1385)(122, 1386)(123, 1483)(124, 1484)(125, 1485)(126, 1458)(127, 1486)(128, 1487)(129, 1470)(130, 1454)(131, 1488)(132, 1489)(133, 1490)(134, 1491)(135, 1476)(136, 1492)(137, 1468)(138, 1493)(139, 1494)(140, 1465)(141, 1495)(142, 1457)(143, 1496)(144, 1497)(145, 1498)(146, 1499)(147, 1479)(148, 1463)(149, 1500)(150, 1501)(151, 1475)(152, 1502)(153, 1503)(154, 1504)(155, 1505)(156, 1506)(157, 1507)(158, 1426)(159, 1508)(160, 1509)(161, 1438)(162, 1422)(163, 1510)(164, 1511)(165, 1512)(166, 1513)(167, 1444)(168, 1514)(169, 1436)(170, 1515)(171, 1516)(172, 1433)(173, 1517)(174, 1425)(175, 1518)(176, 1519)(177, 1520)(178, 1521)(179, 1447)(180, 1431)(181, 1522)(182, 1523)(183, 1443)(184, 1524)(185, 1525)(186, 1526)(187, 1419)(188, 1420)(189, 1421)(190, 1423)(191, 1424)(192, 1427)(193, 1428)(194, 1429)(195, 1430)(196, 1432)(197, 1434)(198, 1435)(199, 1437)(200, 1439)(201, 1440)(202, 1441)(203, 1442)(204, 1445)(205, 1446)(206, 1448)(207, 1449)(208, 1450)(209, 1451)(210, 1452)(211, 1453)(212, 1455)(213, 1456)(214, 1459)(215, 1460)(216, 1461)(217, 1462)(218, 1464)(219, 1466)(220, 1467)(221, 1469)(222, 1471)(223, 1472)(224, 1473)(225, 1474)(226, 1477)(227, 1478)(228, 1480)(229, 1481)(230, 1482)(231, 1751)(232, 1592)(233, 1753)(234, 1692)(235, 1615)(236, 1755)(237, 1582)(238, 1596)(239, 1757)(240, 1660)(241, 1759)(242, 1761)(243, 1574)(244, 1762)(245, 1764)(246, 1649)(247, 1704)(248, 1620)(249, 1698)(250, 1767)(251, 1612)(252, 1656)(253, 1621)(254, 1770)(255, 1598)(256, 1616)(257, 1772)(258, 1774)(259, 1567)(260, 1701)(261, 1776)(262, 1707)(263, 1695)(264, 1595)(265, 1724)(266, 1780)(267, 1784)(268, 1787)(269, 1791)(270, 1794)(271, 1555)(272, 1798)(273, 1801)(274, 1804)(275, 1807)(276, 1810)(277, 1813)(278, 1539)(279, 1817)(280, 1820)(281, 1823)(282, 1825)(283, 1828)(284, 1831)(285, 1834)(286, 1533)(287, 1838)(288, 1840)(289, 1830)(290, 1845)(291, 1847)(292, 1849)(293, 1749)(294, 1729)(295, 1855)(296, 1528)(297, 1858)(298, 1854)(299, 1560)(300, 1534)(301, 1862)(302, 1551)(303, 1864)(304, 1866)(305, 1836)(306, 1870)(307, 1872)(308, 1809)(309, 1877)(310, 1878)(311, 1771)(312, 1844)(313, 1760)(314, 1884)(315, 1803)(316, 1547)(317, 1736)(318, 1822)(319, 1531)(320, 1552)(321, 1893)(322, 1741)(323, 1848)(324, 1544)(325, 1549)(326, 1895)(327, 1896)(328, 1713)(329, 1815)(330, 1793)(331, 1743)(332, 1765)(333, 1716)(334, 1859)(335, 1737)(336, 1717)(337, 1901)(338, 1902)(339, 1735)(340, 1690)(341, 1860)(342, 1693)(343, 1861)(344, 1786)(345, 1909)(346, 1740)(347, 1756)(348, 1876)(349, 1696)(350, 1730)(351, 1800)(352, 1917)(353, 1542)(354, 1668)(355, 1850)(356, 1671)(357, 1852)(358, 1783)(359, 1920)(360, 1548)(361, 1921)(362, 1889)(363, 1674)(364, 1536)(365, 1806)(366, 1926)(367, 1722)(368, 1796)(369, 1782)(370, 1816)(371, 1777)(372, 1650)(373, 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1720)(647, 1818)(648, 1746)(649, 1945)(650, 1946)(651, 1947)(652, 1948)(653, 1949)(654, 1950)(655, 1951)(656, 1952)(657, 1953)(658, 1954)(659, 1955)(660, 1956)(661, 1957)(662, 1958)(663, 1959)(664, 1960)(665, 1961)(666, 1962)(667, 1963)(668, 1964)(669, 1965)(670, 1966)(671, 1967)(672, 1968)(673, 1969)(674, 1970)(675, 1971)(676, 1972)(677, 1973)(678, 1974)(679, 1975)(680, 1976)(681, 1977)(682, 1978)(683, 1979)(684, 1980)(685, 1981)(686, 1982)(687, 1983)(688, 1984)(689, 1985)(690, 1986)(691, 1987)(692, 1988)(693, 1989)(694, 1990)(695, 1991)(696, 1992)(697, 1993)(698, 1994)(699, 1995)(700, 1996)(701, 1997)(702, 1998)(703, 1999)(704, 2000)(705, 2001)(706, 2002)(707, 2003)(708, 2004)(709, 2005)(710, 2006)(711, 2007)(712, 2008)(713, 2009)(714, 2010)(715, 2011)(716, 2012)(717, 2013)(718, 2014)(719, 2015)(720, 2016)(721, 2017)(722, 2018)(723, 2019)(724, 2020)(725, 2021)(726, 2022)(727, 2023)(728, 2024)(729, 2025)(730, 2026)(731, 2027)(732, 2028)(733, 2029)(734, 2030)(735, 2031)(736, 2032)(737, 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2124)(829, 2125)(830, 2126)(831, 2127)(832, 2128)(833, 2129)(834, 2130)(835, 2131)(836, 2132)(837, 2133)(838, 2134)(839, 2135)(840, 2136)(841, 2137)(842, 2138)(843, 2139)(844, 2140)(845, 2141)(846, 2142)(847, 2143)(848, 2144)(849, 2145)(850, 2146)(851, 2147)(852, 2148)(853, 2149)(854, 2150)(855, 2151)(856, 2152)(857, 2153)(858, 2154)(859, 2155)(860, 2156)(861, 2157)(862, 2158)(863, 2159)(864, 2160)(865, 2161)(866, 2162)(867, 2163)(868, 2164)(869, 2165)(870, 2166)(871, 2167)(872, 2168)(873, 2169)(874, 2170)(875, 2171)(876, 2172)(877, 2173)(878, 2174)(879, 2175)(880, 2176)(881, 2177)(882, 2178)(883, 2179)(884, 2180)(885, 2181)(886, 2182)(887, 2183)(888, 2184)(889, 2185)(890, 2186)(891, 2187)(892, 2188)(893, 2189)(894, 2190)(895, 2191)(896, 2192)(897, 2193)(898, 2194)(899, 2195)(900, 2196)(901, 2197)(902, 2198)(903, 2199)(904, 2200)(905, 2201)(906, 2202)(907, 2203)(908, 2204)(909, 2205)(910, 2206)(911, 2207)(912, 2208)(913, 2209)(914, 2210)(915, 2211)(916, 2212)(917, 2213)(918, 2214)(919, 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2305)(1010, 2306)(1011, 2307)(1012, 2308)(1013, 2309)(1014, 2310)(1015, 2311)(1016, 2312)(1017, 2313)(1018, 2314)(1019, 2315)(1020, 2316)(1021, 2317)(1022, 2318)(1023, 2319)(1024, 2320)(1025, 2321)(1026, 2322)(1027, 2323)(1028, 2324)(1029, 2325)(1030, 2326)(1031, 2327)(1032, 2328)(1033, 2329)(1034, 2330)(1035, 2331)(1036, 2332)(1037, 2333)(1038, 2334)(1039, 2335)(1040, 2336)(1041, 2337)(1042, 2338)(1043, 2339)(1044, 2340)(1045, 2341)(1046, 2342)(1047, 2343)(1048, 2344)(1049, 2345)(1050, 2346)(1051, 2347)(1052, 2348)(1053, 2349)(1054, 2350)(1055, 2351)(1056, 2352)(1057, 2353)(1058, 2354)(1059, 2355)(1060, 2356)(1061, 2357)(1062, 2358)(1063, 2359)(1064, 2360)(1065, 2361)(1066, 2362)(1067, 2363)(1068, 2364)(1069, 2365)(1070, 2366)(1071, 2367)(1072, 2368)(1073, 2369)(1074, 2370)(1075, 2371)(1076, 2372)(1077, 2373)(1078, 2374)(1079, 2375)(1080, 2376)(1081, 2377)(1082, 2378)(1083, 2379)(1084, 2380)(1085, 2381)(1086, 2382)(1087, 2383)(1088, 2384)(1089, 2385)(1090, 2386)(1091, 2387)(1092, 2388)(1093, 2389)(1094, 2390)(1095, 2391)(1096, 2392)(1097, 2393)(1098, 2394)(1099, 2395)(1100, 2396)(1101, 2397)(1102, 2398)(1103, 2399)(1104, 2400)(1105, 2401)(1106, 2402)(1107, 2403)(1108, 2404)(1109, 2405)(1110, 2406)(1111, 2407)(1112, 2408)(1113, 2409)(1114, 2410)(1115, 2411)(1116, 2412)(1117, 2413)(1118, 2414)(1119, 2415)(1120, 2416)(1121, 2417)(1122, 2418)(1123, 2419)(1124, 2420)(1125, 2421)(1126, 2422)(1127, 2423)(1128, 2424)(1129, 2425)(1130, 2426)(1131, 2427)(1132, 2428)(1133, 2429)(1134, 2430)(1135, 2431)(1136, 2432)(1137, 2433)(1138, 2434)(1139, 2435)(1140, 2436)(1141, 2437)(1142, 2438)(1143, 2439)(1144, 2440)(1145, 2441)(1146, 2442)(1147, 2443)(1148, 2444)(1149, 2445)(1150, 2446)(1151, 2447)(1152, 2448)(1153, 2449)(1154, 2450)(1155, 2451)(1156, 2452)(1157, 2453)(1158, 2454)(1159, 2455)(1160, 2456)(1161, 2457)(1162, 2458)(1163, 2459)(1164, 2460)(1165, 2461)(1166, 2462)(1167, 2463)(1168, 2464)(1169, 2465)(1170, 2466)(1171, 2467)(1172, 2468)(1173, 2469)(1174, 2470)(1175, 2471)(1176, 2472)(1177, 2473)(1178, 2474)(1179, 2475)(1180, 2476)(1181, 2477)(1182, 2478)(1183, 2479)(1184, 2480)(1185, 2481)(1186, 2482)(1187, 2483)(1188, 2484)(1189, 2485)(1190, 2486)(1191, 2487)(1192, 2488)(1193, 2489)(1194, 2490)(1195, 2491)(1196, 2492)(1197, 2493)(1198, 2494)(1199, 2495)(1200, 2496)(1201, 2497)(1202, 2498)(1203, 2499)(1204, 2500)(1205, 2501)(1206, 2502)(1207, 2503)(1208, 2504)(1209, 2505)(1210, 2506)(1211, 2507)(1212, 2508)(1213, 2509)(1214, 2510)(1215, 2511)(1216, 2512)(1217, 2513)(1218, 2514)(1219, 2515)(1220, 2516)(1221, 2517)(1222, 2518)(1223, 2519)(1224, 2520)(1225, 2521)(1226, 2522)(1227, 2523)(1228, 2524)(1229, 2525)(1230, 2526)(1231, 2527)(1232, 2528)(1233, 2529)(1234, 2530)(1235, 2531)(1236, 2532)(1237, 2533)(1238, 2534)(1239, 2535)(1240, 2536)(1241, 2537)(1242, 2538)(1243, 2539)(1244, 2540)(1245, 2541)(1246, 2542)(1247, 2543)(1248, 2544)(1249, 2545)(1250, 2546)(1251, 2547)(1252, 2548)(1253, 2549)(1254, 2550)(1255, 2551)(1256, 2552)(1257, 2553)(1258, 2554)(1259, 2555)(1260, 2556)(1261, 2557)(1262, 2558)(1263, 2559)(1264, 2560)(1265, 2561)(1266, 2562)(1267, 2563)(1268, 2564)(1269, 2565)(1270, 2566)(1271, 2567)(1272, 2568)(1273, 2569)(1274, 2570)(1275, 2571)(1276, 2572)(1277, 2573)(1278, 2574)(1279, 2575)(1280, 2576)(1281, 2577)(1282, 2578)(1283, 2579)(1284, 2580)(1285, 2581)(1286, 2582)(1287, 2583)(1288, 2584)(1289, 2585)(1290, 2586)(1291, 2587)(1292, 2588)(1293, 2589)(1294, 2590)(1295, 2591)(1296, 2592)
	local type(s) :: { ( 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.3356
Graph:: bipartite
	v = 540 e = 1296 f = 702
	degree seq :: [ 4^324, 6^216 ]

E28.3354 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 12})
Quotient :: dipole
Aut^+ = $<648, 703>$ (small group id <648, 703>)
Aut   = $<1296, 3492>$ (small group id <1296, 3492>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^3, (Y2^-1 * Y1^-1)^2, (Y2 * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, Y2^12, Y2^3 * Y1^-1 * Y2 * Y1^-1 * Y2^3 * Y1^-1 * Y2^-3 * Y1^-1, Y2^-4 * Y1^-1 * Y2^2 * Y1 * Y2^-3 * Y1 * Y2^-1 * Y1, (Y2^5 * Y1^-1 * Y2^3 * Y1^-1)^2, (Y2^4 * Y1^-1 * Y2^2 * Y1^-1 * Y2^2 * Y1^-1)^2 ]
Map::
	R = (1, 649, 2, 650, 4, 652)(3, 651, 8, 656, 10, 658)(5, 653, 12, 660, 6, 654)(7, 655, 15, 663, 11, 659)(9, 657, 18, 666, 20, 668)(13, 661, 25, 673, 23, 671)(14, 662, 24, 672, 28, 676)(16, 664, 31, 679, 29, 677)(17, 665, 33, 681, 21, 669)(19, 667, 36, 684, 38, 686)(22, 670, 30, 678, 42, 690)(26, 674, 47, 695, 45, 693)(27, 675, 49, 697, 51, 699)(32, 680, 57, 705, 55, 703)(34, 682, 61, 709, 59, 707)(35, 683, 63, 711, 39, 687)(37, 685, 66, 714, 68, 716)(40, 688, 60, 708, 72, 720)(41, 689, 73, 721, 75, 723)(43, 691, 46, 694, 78, 726)(44, 692, 79, 727, 52, 700)(48, 696, 85, 733, 83, 731)(50, 698, 88, 736, 90, 738)(53, 701, 56, 704, 94, 742)(54, 702, 95, 743, 76, 724)(58, 706, 101, 749, 99, 747)(62, 710, 107, 755, 105, 753)(64, 712, 111, 759, 109, 757)(65, 713, 113, 761, 69, 717)(67, 715, 116, 764, 118, 766)(70, 718, 110, 758, 122, 770)(71, 719, 123, 771, 125, 773)(74, 722, 128, 776, 130, 778)(77, 725, 133, 781, 135, 783)(80, 728, 139, 787, 137, 785)(81, 729, 84, 732, 142, 790)(82, 730, 143, 791, 136, 784)(86, 734, 149, 797, 147, 795)(87, 735, 150, 798, 91, 739)(89, 737, 153, 801, 155, 803)(92, 740, 138, 786, 159, 807)(93, 741, 160, 808, 162, 810)(96, 744, 166, 814, 164, 812)(97, 745, 100, 748, 169, 817)(98, 746, 170, 818, 163, 811)(102, 750, 176, 824, 174, 822)(103, 751, 106, 754, 178, 826)(104, 752, 179, 827, 126, 774)(108, 756, 185, 833, 183, 831)(112, 760, 156, 804, 152, 800)(114, 762, 192, 840, 151, 799)(115, 763, 167, 815, 119, 767)(117, 765, 195, 843, 196, 844)(120, 768, 191, 839, 200, 848)(121, 769, 201, 849, 203, 851)(124, 772, 172, 820, 175, 823)(127, 775, 193, 841, 131, 779)(129, 777, 210, 858, 211, 859)(132, 780, 165, 813, 215, 863)(134, 782, 181, 829, 184, 832)(140, 788, 212, 860, 209, 857)(141, 789, 177, 825, 168, 816)(144, 792, 226, 874, 224, 872)(145, 793, 148, 796, 161, 809)(146, 794, 228, 876, 223, 871)(154, 802, 235, 883, 236, 884)(157, 805, 233, 881, 240, 888)(158, 806, 241, 889, 243, 891)(171, 819, 254, 902, 252, 900)(173, 821, 256, 904, 251, 899)(180, 828, 264, 912, 262, 910)(182, 830, 266, 914, 261, 909)(186, 834, 272, 920, 270, 918)(187, 835, 189, 837, 217, 865)(188, 836, 273, 921, 204, 852)(190, 838, 276, 924, 238, 886)(194, 842, 265, 913, 197, 845)(198, 846, 250, 898, 284, 932)(199, 847, 285, 933, 287, 935)(202, 850, 268, 916, 271, 919)(205, 853, 249, 897, 207, 855)(206, 854, 259, 907, 293, 941)(208, 856, 263, 911, 296, 944)(213, 861, 279, 927, 301, 949)(214, 862, 302, 950, 304, 952)(216, 864, 269, 917, 307, 955)(218, 866, 225, 873, 310, 958)(219, 867, 221, 869, 246, 894)(220, 868, 311, 959, 244, 892)(222, 870, 314, 962, 299, 947)(227, 875, 237, 885, 234, 882)(229, 877, 322, 970, 320, 968)(230, 878, 232, 880, 242, 890)(231, 879, 324, 972, 245, 893)(239, 887, 332, 980, 334, 982)(247, 895, 253, 901, 342, 990)(248, 896, 343, 991, 305, 953)(255, 903, 298, 946, 297, 945)(257, 905, 353, 1001, 351, 999)(258, 906, 260, 908, 303, 951)(267, 915, 363, 1011, 361, 1009)(274, 922, 371, 1019, 369, 1017)(275, 923, 373, 1021, 308, 956)(277, 925, 377, 1025, 375, 1023)(278, 926, 378, 1026, 288, 936)(280, 928, 372, 1020, 281, 929)(282, 930, 360, 1008, 382, 1030)(283, 931, 383, 1031, 385, 1033)(286, 934, 331, 979, 376, 1024)(289, 937, 359, 1007, 291, 939)(290, 938, 367, 1015, 391, 1039)(292, 940, 370, 1018, 394, 1042)(294, 942, 345, 993, 397, 1045)(295, 943, 398, 1046, 400, 1048)(300, 948, 404, 1052, 384, 1032)(306, 954, 409, 1057, 410, 1058)(309, 957, 413, 1061, 380, 1028)(312, 960, 417, 1065, 415, 1063)(313, 961, 419, 1067, 340, 988)(315, 963, 321, 969, 422, 1070)(316, 964, 318, 966, 337, 985)(317, 965, 423, 1071, 414, 1062)(319, 967, 426, 1074, 330, 978)(323, 971, 411, 1059, 365, 1013)(325, 973, 354, 1002, 431, 1079)(326, 974, 433, 1081, 336, 984)(327, 975, 435, 1083, 335, 983)(328, 976, 418, 1066, 329, 977)(333, 981, 403, 1051, 421, 1069)(338, 986, 416, 1064, 444, 1092)(339, 987, 432, 1080, 386, 1034)(341, 989, 446, 1094, 436, 1084)(344, 992, 450, 1098, 448, 1096)(346, 994, 352, 1000, 452, 1100)(347, 995, 349, 997, 407, 1055)(348, 996, 453, 1101, 447, 1095)(350, 998, 456, 1104, 402, 1050)(355, 1003, 364, 1012, 395, 1043)(356, 1004, 461, 1109, 406, 1054)(357, 1005, 362, 1010, 463, 1111)(358, 1006, 464, 1112, 401, 1049)(366, 1014, 368, 1016, 399, 1047)(374, 1022, 476, 1124, 474, 1122)(379, 1027, 481, 1129, 405, 1053)(381, 1029, 483, 1131, 460, 1108)(387, 1035, 473, 1121, 389, 1037)(388, 1036, 478, 1126, 462, 1110)(390, 1038, 480, 1128, 491, 1139)(392, 1040, 466, 1114, 494, 1142)(393, 1041, 495, 1143, 497, 1145)(396, 1044, 500, 1148, 484, 1132)(408, 1056, 449, 1097, 509, 1157)(412, 1060, 475, 1123, 513, 1161)(420, 1068, 519, 1167, 517, 1165)(424, 1072, 523, 1171, 521, 1169)(425, 1073, 525, 1173, 442, 1090)(427, 1075, 429, 1077, 482, 1130)(428, 1076, 526, 1174, 520, 1168)(430, 1078, 504, 1152, 512, 1160)(434, 1082, 487, 1135, 485, 1133)(437, 1085, 499, 1147, 470, 1118)(438, 1086, 516, 1164, 440, 1088)(439, 1087, 492, 1140, 471, 1119)(441, 1089, 529, 1177, 533, 1181)(443, 1091, 535, 1183, 536, 1184)(445, 1093, 518, 1166, 538, 1186)(451, 1099, 542, 1190, 501, 1149)(454, 1102, 546, 1194, 544, 1192)(455, 1103, 548, 1196, 507, 1155)(457, 1105, 459, 1107, 530, 1178)(458, 1106, 549, 1197, 543, 1191)(465, 1113, 554, 1202, 552, 1200)(467, 1115, 469, 1117, 502, 1150)(468, 1116, 556, 1204, 551, 1199)(472, 1120, 559, 1207, 498, 1146)(477, 1125, 479, 1127, 496, 1144)(486, 1134, 505, 1153, 541, 1189)(488, 1136, 528, 1176, 547, 1195)(489, 1137, 561, 1209, 570, 1218)(490, 1138, 532, 1180, 572, 1220)(493, 1141, 574, 1222, 567, 1215)(503, 1151, 553, 1201, 582, 1230)(506, 1154, 566, 1214, 571, 1219)(508, 1156, 583, 1231, 569, 1217)(510, 1158, 524, 1172, 511, 1159)(514, 1162, 522, 1170, 587, 1235)(515, 1163, 588, 1236, 537, 1185)(527, 1175, 550, 1198, 557, 1205)(531, 1179, 589, 1237, 598, 1246)(534, 1182, 595, 1243, 597, 1245)(539, 1187, 545, 1193, 604, 1252)(540, 1188, 605, 1253, 584, 1232)(555, 1203, 606, 1254, 575, 1223)(558, 1206, 610, 1258, 580, 1228)(560, 1208, 616, 1264, 614, 1262)(562, 1210, 564, 1212, 576, 1224)(563, 1211, 594, 1242, 585, 1233)(565, 1213, 619, 1267, 573, 1221)(568, 1216, 578, 1226, 613, 1261)(577, 1225, 615, 1263, 627, 1275)(579, 1227, 607, 1255, 622, 1270)(581, 1229, 628, 1276, 593, 1241)(586, 1234, 631, 1279, 608, 1256)(590, 1238, 592, 1240, 600, 1248)(591, 1239, 609, 1257, 602, 1250)(596, 1244, 636, 1284, 599, 1247)(601, 1249, 632, 1280, 640, 1288)(603, 1251, 642, 1290, 611, 1259)(612, 1260, 643, 1291, 629, 1277)(617, 1265, 644, 1292, 623, 1271)(618, 1266, 645, 1293, 626, 1274)(620, 1268, 637, 1285, 635, 1283)(621, 1269, 624, 1272, 639, 1287)(625, 1273, 641, 1289, 633, 1281)(630, 1278, 634, 1282, 638, 1286)(646, 1294, 648, 1296, 647, 1295)(1297, 1945, 1299, 1947, 1305, 1953, 1315, 1963, 1333, 1981, 1363, 2011, 1413, 2061, 1382, 2030, 1344, 1992, 1322, 1970, 1309, 1957, 1301, 1949)(1298, 1946, 1302, 1950, 1310, 1958, 1323, 1971, 1346, 1994, 1385, 2033, 1450, 2098, 1398, 2046, 1354, 2002, 1328, 1976, 1312, 1960, 1303, 1951)(1300, 1948, 1307, 1955, 1318, 1966, 1337, 1985, 1370, 2018, 1425, 2073, 1482, 2130, 1404, 2052, 1358, 2006, 1330, 1978, 1313, 1961, 1304, 1952)(1306, 1954, 1317, 1965, 1336, 1984, 1367, 2015, 1420, 2068, 1502, 2150, 1573, 2221, 1486, 2134, 1408, 2056, 1360, 2008, 1331, 1979, 1314, 1962)(1308, 1956, 1319, 1967, 1339, 1987, 1373, 2021, 1430, 2078, 1512, 2160, 1602, 2250, 1518, 2166, 1436, 2084, 1376, 2024, 1340, 1988, 1320, 1968)(1311, 1959, 1325, 1973, 1349, 1997, 1389, 2037, 1457, 2105, 1541, 2189, 1635, 2283, 1546, 2194, 1463, 2111, 1392, 2040, 1350, 1998, 1326, 1974)(1316, 1964, 1335, 1983, 1366, 2014, 1417, 2065, 1498, 2146, 1586, 2234, 1675, 2323, 1575, 2223, 1489, 2137, 1410, 2058, 1361, 2009, 1332, 1980)(1321, 1969, 1341, 1989, 1377, 2025, 1437, 2085, 1465, 2113, 1547, 2195, 1642, 2290, 1615, 2263, 1523, 2171, 1440, 2088, 1378, 2026, 1342, 1990)(1324, 1972, 1348, 1996, 1388, 2036, 1454, 2102, 1538, 2186, 1632, 2280, 1574, 2222, 1487, 2135, 1409, 2057, 1447, 2095, 1383, 2031, 1345, 1993)(1327, 1975, 1351, 1999, 1393, 2041, 1464, 2112, 1474, 2122, 1557, 2205, 1653, 2301, 1646, 2294, 1551, 2199, 1467, 2115, 1394, 2042, 1352, 2000)(1329, 1977, 1355, 2003, 1399, 2047, 1473, 2121, 1438, 2086, 1519, 2167, 1611, 2259, 1656, 2304, 1561, 2209, 1476, 2124, 1400, 2048, 1356, 2004)(1334, 1982, 1365, 2013, 1416, 2064, 1495, 2143, 1582, 2230, 1684, 2332, 1747, 2395, 1641, 2289, 1545, 2193, 1462, 2110, 1411, 2059, 1362, 2010)(1338, 1986, 1372, 2020, 1428, 2076, 1510, 2158, 1599, 2247, 1702, 2350, 1623, 2271, 1529, 2177, 1446, 2094, 1488, 2136, 1423, 2071, 1369, 2017)(1343, 1991, 1379, 2027, 1441, 2089, 1458, 2106, 1542, 2190, 1636, 2284, 1741, 2389, 1726, 2374, 1619, 2267, 1525, 2173, 1442, 2090, 1380, 2028)(1347, 1995, 1387, 2035, 1453, 2101, 1535, 2183, 1629, 2277, 1735, 2383, 1670, 2318, 1571, 2219, 1485, 2133, 1407, 2055, 1448, 2096, 1384, 2032)(1353, 2001, 1395, 2043, 1468, 2116, 1421, 2069, 1503, 2151, 1590, 2238, 1692, 2340, 1756, 2404, 1650, 2298, 1553, 2201, 1469, 2117, 1396, 2044)(1357, 2005, 1401, 2049, 1477, 2125, 1431, 2079, 1513, 2161, 1604, 2252, 1708, 2356, 1766, 2414, 1660, 2308, 1563, 2211, 1478, 2126, 1402, 2050)(1359, 2007, 1405, 2053, 1483, 2131, 1429, 2077, 1374, 2022, 1432, 2080, 1514, 2162, 1605, 2253, 1668, 2316, 1570, 2218, 1484, 2132, 1406, 2054)(1364, 2012, 1415, 2063, 1494, 2142, 1579, 2227, 1680, 2328, 1782, 2430, 1851, 2499, 1762, 2410, 1655, 2303, 1560, 2208, 1490, 2138, 1412, 2060)(1368, 2016, 1422, 2070, 1504, 2152, 1591, 2239, 1695, 2343, 1640, 2288, 1544, 2192, 1461, 2109, 1391, 2039, 1460, 2108, 1501, 2149, 1419, 2067)(1371, 2019, 1427, 2075, 1509, 2157, 1596, 2244, 1681, 2329, 1783, 2431, 1716, 2364, 1609, 2257, 1517, 2165, 1435, 2083, 1505, 2153, 1424, 2072)(1375, 2023, 1433, 2081, 1515, 2163, 1456, 2104, 1390, 2038, 1459, 2107, 1543, 2191, 1637, 2285, 1714, 2362, 1608, 2256, 1516, 2164, 1434, 2082)(1381, 2029, 1443, 2091, 1526, 2174, 1539, 2187, 1633, 2281, 1738, 2386, 1830, 2478, 1755, 2403, 1649, 2297, 1621, 2269, 1527, 2175, 1444, 2092)(1386, 2034, 1452, 2100, 1534, 2182, 1627, 2275, 1583, 2231, 1685, 2333, 1785, 2433, 1721, 2369, 1614, 2262, 1522, 2170, 1530, 2178, 1449, 2097)(1397, 2045, 1470, 2118, 1554, 2202, 1600, 2248, 1703, 2351, 1803, 2451, 1854, 2502, 1765, 2413, 1659, 2307, 1651, 2299, 1555, 2203, 1471, 2119)(1403, 2051, 1479, 2127, 1564, 2212, 1499, 2147, 1587, 2235, 1688, 2336, 1789, 2437, 1725, 2373, 1618, 2266, 1661, 2309, 1565, 2213, 1480, 2128)(1414, 2062, 1493, 2141, 1578, 2226, 1677, 2325, 1780, 2428, 1864, 2512, 1913, 2561, 1857, 2505, 1769, 2417, 1667, 2315, 1576, 2224, 1491, 2139)(1418, 2066, 1500, 2148, 1588, 2236, 1689, 2337, 1792, 2440, 1761, 2409, 1654, 2302, 1559, 2207, 1475, 2123, 1558, 2206, 1585, 2233, 1497, 2145)(1426, 2074, 1508, 2156, 1595, 2243, 1699, 2347, 1630, 2278, 1736, 2384, 1827, 2475, 1751, 2399, 1645, 2293, 1550, 2198, 1593, 2241, 1506, 2154)(1439, 2087, 1520, 2168, 1612, 2260, 1537, 2185, 1455, 2103, 1540, 2188, 1634, 2282, 1739, 2387, 1820, 2468, 1720, 2368, 1613, 2261, 1521, 2169)(1445, 2093, 1492, 2140, 1577, 2225, 1676, 2324, 1778, 2426, 1863, 2511, 1917, 2565, 1888, 2536, 1815, 2463, 1730, 2378, 1622, 2270, 1528, 2176)(1451, 2099, 1533, 2181, 1626, 2274, 1733, 2381, 1809, 2457, 1881, 2529, 1926, 2574, 1885, 2533, 1812, 2460, 1713, 2361, 1624, 2272, 1531, 2179)(1466, 2114, 1548, 2196, 1643, 2291, 1598, 2246, 1511, 2159, 1601, 2249, 1704, 2352, 1804, 2452, 1843, 2491, 1750, 2398, 1644, 2292, 1549, 2197)(1472, 2120, 1532, 2180, 1625, 2273, 1732, 2380, 1826, 2474, 1893, 2541, 1933, 2581, 1903, 2551, 1838, 2486, 1758, 2406, 1652, 2300, 1556, 2204)(1481, 2129, 1566, 2214, 1662, 2310, 1696, 2344, 1798, 2446, 1876, 2524, 1914, 2562, 1860, 2508, 1772, 2420, 1767, 2415, 1663, 2311, 1567, 2215)(1496, 2144, 1584, 2232, 1686, 2334, 1786, 2434, 1867, 2515, 1856, 2504, 1768, 2416, 1666, 2314, 1569, 2217, 1665, 2313, 1683, 2331, 1581, 2229)(1507, 2155, 1594, 2242, 1698, 2346, 1800, 2448, 1834, 2482, 1898, 2546, 1937, 2585, 1902, 2550, 1837, 2485, 1746, 2394, 1664, 2312, 1568, 2216)(1524, 2172, 1616, 2264, 1723, 2371, 1709, 2357, 1606, 2254, 1710, 2358, 1810, 2458, 1882, 2530, 1845, 2493, 1823, 2471, 1724, 2372, 1617, 2265)(1536, 2184, 1631, 2279, 1737, 2385, 1828, 2476, 1787, 2435, 1869, 2517, 1811, 2459, 1712, 2360, 1607, 2255, 1711, 2359, 1734, 2382, 1628, 2276)(1552, 2200, 1647, 2295, 1753, 2401, 1742, 2390, 1638, 2286, 1743, 2391, 1835, 2483, 1899, 2547, 1852, 2500, 1846, 2494, 1754, 2402, 1648, 2296)(1562, 2210, 1657, 2305, 1763, 2411, 1694, 2342, 1592, 2240, 1697, 2345, 1799, 2447, 1877, 2525, 1822, 2470, 1853, 2501, 1764, 2412, 1658, 2306)(1572, 2220, 1671, 2319, 1773, 2421, 1793, 2441, 1872, 2520, 1922, 2570, 1892, 2540, 1825, 2473, 1731, 2379, 1757, 2405, 1774, 2422, 1672, 2320)(1580, 2228, 1682, 2330, 1784, 2432, 1865, 2513, 1918, 2566, 1916, 2564, 1861, 2509, 1776, 2424, 1674, 2322, 1729, 2377, 1781, 2429, 1679, 2327)(1589, 2237, 1691, 2339, 1795, 2443, 1722, 2370, 1748, 2396, 1839, 2487, 1904, 2552, 1940, 2588, 1909, 2557, 1850, 2498, 1775, 2423, 1673, 2321)(1597, 2245, 1701, 2349, 1802, 2450, 1868, 2516, 1829, 2477, 1895, 2543, 1836, 2484, 1745, 2393, 1639, 2287, 1744, 2392, 1801, 2449, 1700, 2348)(1603, 2251, 1707, 2355, 1808, 2456, 1752, 2400, 1759, 2407, 1847, 2495, 1907, 2555, 1930, 2578, 1890, 2538, 1819, 2467, 1806, 2454, 1705, 2353)(1610, 2258, 1706, 2354, 1807, 2455, 1832, 2480, 1896, 2544, 1935, 2583, 1912, 2560, 1862, 2510, 1777, 2425, 1687, 2335, 1788, 2436, 1717, 2365)(1620, 2268, 1727, 2375, 1779, 2427, 1678, 2326, 1718, 2366, 1816, 2464, 1889, 2537, 1929, 2577, 1905, 2553, 1842, 2490, 1824, 2472, 1728, 2376)(1669, 2317, 1770, 2418, 1858, 2506, 1791, 2439, 1690, 2338, 1794, 2442, 1873, 2521, 1818, 2466, 1719, 2367, 1817, 2465, 1859, 2507, 1771, 2419)(1693, 2341, 1797, 2445, 1875, 2523, 1879, 2527, 1805, 2453, 1880, 2528, 1908, 2556, 1849, 2497, 1760, 2408, 1848, 2496, 1874, 2522, 1796, 2444)(1715, 2363, 1813, 2461, 1886, 2534, 1831, 2479, 1740, 2388, 1833, 2481, 1897, 2545, 1841, 2489, 1749, 2397, 1840, 2488, 1887, 2535, 1814, 2462)(1790, 2438, 1871, 2519, 1921, 2569, 1924, 2572, 1878, 2526, 1925, 2573, 1942, 2590, 1911, 2559, 1855, 2503, 1910, 2558, 1920, 2568, 1870, 2518)(1821, 2469, 1866, 2514, 1919, 2567, 1927, 2575, 1883, 2531, 1923, 2571, 1943, 2591, 1928, 2576, 1884, 2532, 1915, 2563, 1931, 2579, 1891, 2539)(1844, 2492, 1894, 2542, 1934, 2582, 1938, 2586, 1900, 2548, 1936, 2584, 1944, 2592, 1939, 2587, 1901, 2549, 1932, 2580, 1941, 2589, 1906, 2554)
	L = (1, 1299)(2, 1302)(3, 1305)(4, 1307)(5, 1297)(6, 1310)(7, 1298)(8, 1300)(9, 1315)(10, 1317)(11, 1318)(12, 1319)(13, 1301)(14, 1323)(15, 1325)(16, 1303)(17, 1304)(18, 1306)(19, 1333)(20, 1335)(21, 1336)(22, 1337)(23, 1339)(24, 1308)(25, 1341)(26, 1309)(27, 1346)(28, 1348)(29, 1349)(30, 1311)(31, 1351)(32, 1312)(33, 1355)(34, 1313)(35, 1314)(36, 1316)(37, 1363)(38, 1365)(39, 1366)(40, 1367)(41, 1370)(42, 1372)(43, 1373)(44, 1320)(45, 1377)(46, 1321)(47, 1379)(48, 1322)(49, 1324)(50, 1385)(51, 1387)(52, 1388)(53, 1389)(54, 1326)(55, 1393)(56, 1327)(57, 1395)(58, 1328)(59, 1399)(60, 1329)(61, 1401)(62, 1330)(63, 1405)(64, 1331)(65, 1332)(66, 1334)(67, 1413)(68, 1415)(69, 1416)(70, 1417)(71, 1420)(72, 1422)(73, 1338)(74, 1425)(75, 1427)(76, 1428)(77, 1430)(78, 1432)(79, 1433)(80, 1340)(81, 1437)(82, 1342)(83, 1441)(84, 1343)(85, 1443)(86, 1344)(87, 1345)(88, 1347)(89, 1450)(90, 1452)(91, 1453)(92, 1454)(93, 1457)(94, 1459)(95, 1460)(96, 1350)(97, 1464)(98, 1352)(99, 1468)(100, 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2305)(1010, 2306)(1011, 2307)(1012, 2308)(1013, 2309)(1014, 2310)(1015, 2311)(1016, 2312)(1017, 2313)(1018, 2314)(1019, 2315)(1020, 2316)(1021, 2317)(1022, 2318)(1023, 2319)(1024, 2320)(1025, 2321)(1026, 2322)(1027, 2323)(1028, 2324)(1029, 2325)(1030, 2326)(1031, 2327)(1032, 2328)(1033, 2329)(1034, 2330)(1035, 2331)(1036, 2332)(1037, 2333)(1038, 2334)(1039, 2335)(1040, 2336)(1041, 2337)(1042, 2338)(1043, 2339)(1044, 2340)(1045, 2341)(1046, 2342)(1047, 2343)(1048, 2344)(1049, 2345)(1050, 2346)(1051, 2347)(1052, 2348)(1053, 2349)(1054, 2350)(1055, 2351)(1056, 2352)(1057, 2353)(1058, 2354)(1059, 2355)(1060, 2356)(1061, 2357)(1062, 2358)(1063, 2359)(1064, 2360)(1065, 2361)(1066, 2362)(1067, 2363)(1068, 2364)(1069, 2365)(1070, 2366)(1071, 2367)(1072, 2368)(1073, 2369)(1074, 2370)(1075, 2371)(1076, 2372)(1077, 2373)(1078, 2374)(1079, 2375)(1080, 2376)(1081, 2377)(1082, 2378)(1083, 2379)(1084, 2380)(1085, 2381)(1086, 2382)(1087, 2383)(1088, 2384)(1089, 2385)(1090, 2386)(1091, 2387)(1092, 2388)(1093, 2389)(1094, 2390)(1095, 2391)(1096, 2392)(1097, 2393)(1098, 2394)(1099, 2395)(1100, 2396)(1101, 2397)(1102, 2398)(1103, 2399)(1104, 2400)(1105, 2401)(1106, 2402)(1107, 2403)(1108, 2404)(1109, 2405)(1110, 2406)(1111, 2407)(1112, 2408)(1113, 2409)(1114, 2410)(1115, 2411)(1116, 2412)(1117, 2413)(1118, 2414)(1119, 2415)(1120, 2416)(1121, 2417)(1122, 2418)(1123, 2419)(1124, 2420)(1125, 2421)(1126, 2422)(1127, 2423)(1128, 2424)(1129, 2425)(1130, 2426)(1131, 2427)(1132, 2428)(1133, 2429)(1134, 2430)(1135, 2431)(1136, 2432)(1137, 2433)(1138, 2434)(1139, 2435)(1140, 2436)(1141, 2437)(1142, 2438)(1143, 2439)(1144, 2440)(1145, 2441)(1146, 2442)(1147, 2443)(1148, 2444)(1149, 2445)(1150, 2446)(1151, 2447)(1152, 2448)(1153, 2449)(1154, 2450)(1155, 2451)(1156, 2452)(1157, 2453)(1158, 2454)(1159, 2455)(1160, 2456)(1161, 2457)(1162, 2458)(1163, 2459)(1164, 2460)(1165, 2461)(1166, 2462)(1167, 2463)(1168, 2464)(1169, 2465)(1170, 2466)(1171, 2467)(1172, 2468)(1173, 2469)(1174, 2470)(1175, 2471)(1176, 2472)(1177, 2473)(1178, 2474)(1179, 2475)(1180, 2476)(1181, 2477)(1182, 2478)(1183, 2479)(1184, 2480)(1185, 2481)(1186, 2482)(1187, 2483)(1188, 2484)(1189, 2485)(1190, 2486)(1191, 2487)(1192, 2488)(1193, 2489)(1194, 2490)(1195, 2491)(1196, 2492)(1197, 2493)(1198, 2494)(1199, 2495)(1200, 2496)(1201, 2497)(1202, 2498)(1203, 2499)(1204, 2500)(1205, 2501)(1206, 2502)(1207, 2503)(1208, 2504)(1209, 2505)(1210, 2506)(1211, 2507)(1212, 2508)(1213, 2509)(1214, 2510)(1215, 2511)(1216, 2512)(1217, 2513)(1218, 2514)(1219, 2515)(1220, 2516)(1221, 2517)(1222, 2518)(1223, 2519)(1224, 2520)(1225, 2521)(1226, 2522)(1227, 2523)(1228, 2524)(1229, 2525)(1230, 2526)(1231, 2527)(1232, 2528)(1233, 2529)(1234, 2530)(1235, 2531)(1236, 2532)(1237, 2533)(1238, 2534)(1239, 2535)(1240, 2536)(1241, 2537)(1242, 2538)(1243, 2539)(1244, 2540)(1245, 2541)(1246, 2542)(1247, 2543)(1248, 2544)(1249, 2545)(1250, 2546)(1251, 2547)(1252, 2548)(1253, 2549)(1254, 2550)(1255, 2551)(1256, 2552)(1257, 2553)(1258, 2554)(1259, 2555)(1260, 2556)(1261, 2557)(1262, 2558)(1263, 2559)(1264, 2560)(1265, 2561)(1266, 2562)(1267, 2563)(1268, 2564)(1269, 2565)(1270, 2566)(1271, 2567)(1272, 2568)(1273, 2569)(1274, 2570)(1275, 2571)(1276, 2572)(1277, 2573)(1278, 2574)(1279, 2575)(1280, 2576)(1281, 2577)(1282, 2578)(1283, 2579)(1284, 2580)(1285, 2581)(1286, 2582)(1287, 2583)(1288, 2584)(1289, 2585)(1290, 2586)(1291, 2587)(1292, 2588)(1293, 2589)(1294, 2590)(1295, 2591)(1296, 2592)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E28.3355
Graph:: bipartite
	v = 270 e = 1296 f = 972
	degree seq :: [ 6^216, 24^54 ]

E28.3355 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 12})
Quotient :: dipole
Aut^+ = $<648, 703>$ (small group id <648, 703>)
Aut   = $<1296, 3492>$ (small group id <1296, 3492>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^3, Y3^12, (Y3 * Y2 * Y3^-3 * Y2 * Y3)^2, Y3 * Y2 * Y3^-4 * Y2 * Y3^-2 * Y2 * Y3^-4 * Y2 * Y3, (Y3^-1 * Y1^-1)^12 ]
Map:: polytopal
	R = (1, 649)(2, 650)(3, 651)(4, 652)(5, 653)(6, 654)(7, 655)(8, 656)(9, 657)(10, 658)(11, 659)(12, 660)(13, 661)(14, 662)(15, 663)(16, 664)(17, 665)(18, 666)(19, 667)(20, 668)(21, 669)(22, 670)(23, 671)(24, 672)(25, 673)(26, 674)(27, 675)(28, 676)(29, 677)(30, 678)(31, 679)(32, 680)(33, 681)(34, 682)(35, 683)(36, 684)(37, 685)(38, 686)(39, 687)(40, 688)(41, 689)(42, 690)(43, 691)(44, 692)(45, 693)(46, 694)(47, 695)(48, 696)(49, 697)(50, 698)(51, 699)(52, 700)(53, 701)(54, 702)(55, 703)(56, 704)(57, 705)(58, 706)(59, 707)(60, 708)(61, 709)(62, 710)(63, 711)(64, 712)(65, 713)(66, 714)(67, 715)(68, 716)(69, 717)(70, 718)(71, 719)(72, 720)(73, 721)(74, 722)(75, 723)(76, 724)(77, 725)(78, 726)(79, 727)(80, 728)(81, 729)(82, 730)(83, 731)(84, 732)(85, 733)(86, 734)(87, 735)(88, 736)(89, 737)(90, 738)(91, 739)(92, 740)(93, 741)(94, 742)(95, 743)(96, 744)(97, 745)(98, 746)(99, 747)(100, 748)(101, 749)(102, 750)(103, 751)(104, 752)(105, 753)(106, 754)(107, 755)(108, 756)(109, 757)(110, 758)(111, 759)(112, 760)(113, 761)(114, 762)(115, 763)(116, 764)(117, 765)(118, 766)(119, 767)(120, 768)(121, 769)(122, 770)(123, 771)(124, 772)(125, 773)(126, 774)(127, 775)(128, 776)(129, 777)(130, 778)(131, 779)(132, 780)(133, 781)(134, 782)(135, 783)(136, 784)(137, 785)(138, 786)(139, 787)(140, 788)(141, 789)(142, 790)(143, 791)(144, 792)(145, 793)(146, 794)(147, 795)(148, 796)(149, 797)(150, 798)(151, 799)(152, 800)(153, 801)(154, 802)(155, 803)(156, 804)(157, 805)(158, 806)(159, 807)(160, 808)(161, 809)(162, 810)(163, 811)(164, 812)(165, 813)(166, 814)(167, 815)(168, 816)(169, 817)(170, 818)(171, 819)(172, 820)(173, 821)(174, 822)(175, 823)(176, 824)(177, 825)(178, 826)(179, 827)(180, 828)(181, 829)(182, 830)(183, 831)(184, 832)(185, 833)(186, 834)(187, 835)(188, 836)(189, 837)(190, 838)(191, 839)(192, 840)(193, 841)(194, 842)(195, 843)(196, 844)(197, 845)(198, 846)(199, 847)(200, 848)(201, 849)(202, 850)(203, 851)(204, 852)(205, 853)(206, 854)(207, 855)(208, 856)(209, 857)(210, 858)(211, 859)(212, 860)(213, 861)(214, 862)(215, 863)(216, 864)(217, 865)(218, 866)(219, 867)(220, 868)(221, 869)(222, 870)(223, 871)(224, 872)(225, 873)(226, 874)(227, 875)(228, 876)(229, 877)(230, 878)(231, 879)(232, 880)(233, 881)(234, 882)(235, 883)(236, 884)(237, 885)(238, 886)(239, 887)(240, 888)(241, 889)(242, 890)(243, 891)(244, 892)(245, 893)(246, 894)(247, 895)(248, 896)(249, 897)(250, 898)(251, 899)(252, 900)(253, 901)(254, 902)(255, 903)(256, 904)(257, 905)(258, 906)(259, 907)(260, 908)(261, 909)(262, 910)(263, 911)(264, 912)(265, 913)(266, 914)(267, 915)(268, 916)(269, 917)(270, 918)(271, 919)(272, 920)(273, 921)(274, 922)(275, 923)(276, 924)(277, 925)(278, 926)(279, 927)(280, 928)(281, 929)(282, 930)(283, 931)(284, 932)(285, 933)(286, 934)(287, 935)(288, 936)(289, 937)(290, 938)(291, 939)(292, 940)(293, 941)(294, 942)(295, 943)(296, 944)(297, 945)(298, 946)(299, 947)(300, 948)(301, 949)(302, 950)(303, 951)(304, 952)(305, 953)(306, 954)(307, 955)(308, 956)(309, 957)(310, 958)(311, 959)(312, 960)(313, 961)(314, 962)(315, 963)(316, 964)(317, 965)(318, 966)(319, 967)(320, 968)(321, 969)(322, 970)(323, 971)(324, 972)(325, 973)(326, 974)(327, 975)(328, 976)(329, 977)(330, 978)(331, 979)(332, 980)(333, 981)(334, 982)(335, 983)(336, 984)(337, 985)(338, 986)(339, 987)(340, 988)(341, 989)(342, 990)(343, 991)(344, 992)(345, 993)(346, 994)(347, 995)(348, 996)(349, 997)(350, 998)(351, 999)(352, 1000)(353, 1001)(354, 1002)(355, 1003)(356, 1004)(357, 1005)(358, 1006)(359, 1007)(360, 1008)(361, 1009)(362, 1010)(363, 1011)(364, 1012)(365, 1013)(366, 1014)(367, 1015)(368, 1016)(369, 1017)(370, 1018)(371, 1019)(372, 1020)(373, 1021)(374, 1022)(375, 1023)(376, 1024)(377, 1025)(378, 1026)(379, 1027)(380, 1028)(381, 1029)(382, 1030)(383, 1031)(384, 1032)(385, 1033)(386, 1034)(387, 1035)(388, 1036)(389, 1037)(390, 1038)(391, 1039)(392, 1040)(393, 1041)(394, 1042)(395, 1043)(396, 1044)(397, 1045)(398, 1046)(399, 1047)(400, 1048)(401, 1049)(402, 1050)(403, 1051)(404, 1052)(405, 1053)(406, 1054)(407, 1055)(408, 1056)(409, 1057)(410, 1058)(411, 1059)(412, 1060)(413, 1061)(414, 1062)(415, 1063)(416, 1064)(417, 1065)(418, 1066)(419, 1067)(420, 1068)(421, 1069)(422, 1070)(423, 1071)(424, 1072)(425, 1073)(426, 1074)(427, 1075)(428, 1076)(429, 1077)(430, 1078)(431, 1079)(432, 1080)(433, 1081)(434, 1082)(435, 1083)(436, 1084)(437, 1085)(438, 1086)(439, 1087)(440, 1088)(441, 1089)(442, 1090)(443, 1091)(444, 1092)(445, 1093)(446, 1094)(447, 1095)(448, 1096)(449, 1097)(450, 1098)(451, 1099)(452, 1100)(453, 1101)(454, 1102)(455, 1103)(456, 1104)(457, 1105)(458, 1106)(459, 1107)(460, 1108)(461, 1109)(462, 1110)(463, 1111)(464, 1112)(465, 1113)(466, 1114)(467, 1115)(468, 1116)(469, 1117)(470, 1118)(471, 1119)(472, 1120)(473, 1121)(474, 1122)(475, 1123)(476, 1124)(477, 1125)(478, 1126)(479, 1127)(480, 1128)(481, 1129)(482, 1130)(483, 1131)(484, 1132)(485, 1133)(486, 1134)(487, 1135)(488, 1136)(489, 1137)(490, 1138)(491, 1139)(492, 1140)(493, 1141)(494, 1142)(495, 1143)(496, 1144)(497, 1145)(498, 1146)(499, 1147)(500, 1148)(501, 1149)(502, 1150)(503, 1151)(504, 1152)(505, 1153)(506, 1154)(507, 1155)(508, 1156)(509, 1157)(510, 1158)(511, 1159)(512, 1160)(513, 1161)(514, 1162)(515, 1163)(516, 1164)(517, 1165)(518, 1166)(519, 1167)(520, 1168)(521, 1169)(522, 1170)(523, 1171)(524, 1172)(525, 1173)(526, 1174)(527, 1175)(528, 1176)(529, 1177)(530, 1178)(531, 1179)(532, 1180)(533, 1181)(534, 1182)(535, 1183)(536, 1184)(537, 1185)(538, 1186)(539, 1187)(540, 1188)(541, 1189)(542, 1190)(543, 1191)(544, 1192)(545, 1193)(546, 1194)(547, 1195)(548, 1196)(549, 1197)(550, 1198)(551, 1199)(552, 1200)(553, 1201)(554, 1202)(555, 1203)(556, 1204)(557, 1205)(558, 1206)(559, 1207)(560, 1208)(561, 1209)(562, 1210)(563, 1211)(564, 1212)(565, 1213)(566, 1214)(567, 1215)(568, 1216)(569, 1217)(570, 1218)(571, 1219)(572, 1220)(573, 1221)(574, 1222)(575, 1223)(576, 1224)(577, 1225)(578, 1226)(579, 1227)(580, 1228)(581, 1229)(582, 1230)(583, 1231)(584, 1232)(585, 1233)(586, 1234)(587, 1235)(588, 1236)(589, 1237)(590, 1238)(591, 1239)(592, 1240)(593, 1241)(594, 1242)(595, 1243)(596, 1244)(597, 1245)(598, 1246)(599, 1247)(600, 1248)(601, 1249)(602, 1250)(603, 1251)(604, 1252)(605, 1253)(606, 1254)(607, 1255)(608, 1256)(609, 1257)(610, 1258)(611, 1259)(612, 1260)(613, 1261)(614, 1262)(615, 1263)(616, 1264)(617, 1265)(618, 1266)(619, 1267)(620, 1268)(621, 1269)(622, 1270)(623, 1271)(624, 1272)(625, 1273)(626, 1274)(627, 1275)(628, 1276)(629, 1277)(630, 1278)(631, 1279)(632, 1280)(633, 1281)(634, 1282)(635, 1283)(636, 1284)(637, 1285)(638, 1286)(639, 1287)(640, 1288)(641, 1289)(642, 1290)(643, 1291)(644, 1292)(645, 1293)(646, 1294)(647, 1295)(648, 1296)(1297, 1945, 1298, 1946)(1299, 1947, 1303, 1951)(1300, 1948, 1305, 1953)(1301, 1949, 1307, 1955)(1302, 1950, 1309, 1957)(1304, 1952, 1312, 1960)(1306, 1954, 1315, 1963)(1308, 1956, 1318, 1966)(1310, 1958, 1321, 1969)(1311, 1959, 1323, 1971)(1313, 1961, 1326, 1974)(1314, 1962, 1328, 1976)(1316, 1964, 1331, 1979)(1317, 1965, 1333, 1981)(1319, 1967, 1336, 1984)(1320, 1968, 1338, 1986)(1322, 1970, 1341, 1989)(1324, 1972, 1344, 1992)(1325, 1973, 1346, 1994)(1327, 1975, 1349, 1997)(1329, 1977, 1352, 2000)(1330, 1978, 1354, 2002)(1332, 1980, 1357, 2005)(1334, 1982, 1360, 2008)(1335, 1983, 1362, 2010)(1337, 1985, 1365, 2013)(1339, 1987, 1368, 2016)(1340, 1988, 1370, 2018)(1342, 1990, 1373, 2021)(1343, 1991, 1375, 2023)(1345, 1993, 1378, 2026)(1347, 1995, 1381, 2029)(1348, 1996, 1383, 2031)(1350, 1998, 1386, 2034)(1351, 1999, 1388, 2036)(1353, 2001, 1391, 2039)(1355, 2003, 1394, 2042)(1356, 2004, 1396, 2044)(1358, 2006, 1399, 2047)(1359, 2007, 1400, 2048)(1361, 2009, 1403, 2051)(1363, 2011, 1406, 2054)(1364, 2012, 1408, 2056)(1366, 2014, 1411, 2059)(1367, 2015, 1413, 2061)(1369, 2017, 1416, 2064)(1371, 2019, 1419, 2067)(1372, 2020, 1421, 2069)(1374, 2022, 1424, 2072)(1376, 2024, 1426, 2074)(1377, 2025, 1428, 2076)(1379, 2027, 1431, 2079)(1380, 2028, 1433, 2081)(1382, 2030, 1409, 2057)(1384, 2032, 1407, 2055)(1385, 2033, 1439, 2087)(1387, 2035, 1442, 2090)(1389, 2037, 1444, 2092)(1390, 2038, 1446, 2094)(1392, 2040, 1447, 2095)(1393, 2041, 1449, 2097)(1395, 2043, 1422, 2070)(1397, 2045, 1420, 2068)(1398, 2046, 1454, 2102)(1401, 2049, 1458, 2106)(1402, 2050, 1460, 2108)(1404, 2052, 1463, 2111)(1405, 2053, 1465, 2113)(1410, 2058, 1471, 2119)(1412, 2060, 1474, 2122)(1414, 2062, 1476, 2124)(1415, 2063, 1478, 2126)(1417, 2065, 1479, 2127)(1418, 2066, 1481, 2129)(1423, 2071, 1486, 2134)(1425, 2073, 1489, 2137)(1427, 2075, 1487, 2135)(1429, 2077, 1485, 2133)(1430, 2078, 1494, 2142)(1432, 2080, 1496, 2144)(1434, 2082, 1498, 2146)(1435, 2083, 1470, 2118)(1436, 2084, 1469, 2117)(1437, 2085, 1468, 2116)(1438, 2086, 1467, 2115)(1440, 2088, 1477, 2125)(1441, 2089, 1505, 2153)(1443, 2091, 1508, 2156)(1445, 2093, 1472, 2120)(1448, 2096, 1514, 2162)(1450, 2098, 1516, 2164)(1451, 2099, 1484, 2132)(1452, 2100, 1483, 2131)(1453, 2101, 1461, 2109)(1455, 2103, 1459, 2107)(1456, 2104, 1507, 2155)(1457, 2105, 1524, 2172)(1462, 2110, 1529, 2177)(1464, 2112, 1531, 2179)(1466, 2114, 1533, 2181)(1473, 2121, 1540, 2188)(1475, 2123, 1543, 2191)(1480, 2128, 1549, 2197)(1482, 2130, 1551, 2199)(1488, 2136, 1542, 2190)(1490, 2138, 1560, 2208)(1491, 2139, 1557, 2205)(1492, 2140, 1556, 2204)(1493, 2141, 1555, 2203)(1495, 2143, 1564, 2212)(1497, 2145, 1567, 2215)(1499, 2147, 1565, 2213)(1500, 2148, 1571, 2219)(1501, 2149, 1572, 2220)(1502, 2150, 1547, 2195)(1503, 2151, 1546, 2194)(1504, 2152, 1545, 2193)(1506, 2154, 1561, 2209)(1509, 2157, 1581, 2229)(1510, 2158, 1539, 2187)(1511, 2159, 1538, 2186)(1512, 2160, 1537, 2185)(1513, 2161, 1585, 2233)(1515, 2163, 1588, 2236)(1517, 2165, 1586, 2234)(1518, 2166, 1592, 2240)(1519, 2167, 1593, 2241)(1520, 2168, 1528, 2176)(1521, 2169, 1527, 2175)(1522, 2170, 1526, 2174)(1523, 2171, 1582, 2230)(1525, 2173, 1600, 2248)(1530, 2178, 1604, 2252)(1532, 2180, 1607, 2255)(1534, 2182, 1605, 2253)(1535, 2183, 1611, 2259)(1536, 2184, 1612, 2260)(1541, 2189, 1601, 2249)(1544, 2192, 1621, 2269)(1548, 2196, 1625, 2273)(1550, 2198, 1628, 2276)(1552, 2200, 1626, 2274)(1553, 2201, 1632, 2280)(1554, 2202, 1633, 2281)(1558, 2206, 1622, 2270)(1559, 2207, 1639, 2287)(1562, 2210, 1643, 2291)(1563, 2211, 1644, 2292)(1566, 2214, 1627, 2275)(1568, 2216, 1650, 2298)(1569, 2217, 1647, 2295)(1570, 2218, 1646, 2294)(1573, 2221, 1613, 2261)(1574, 2222, 1656, 2304)(1575, 2223, 1657, 2305)(1576, 2224, 1637, 2285)(1577, 2225, 1642, 2290)(1578, 2226, 1641, 2289)(1579, 2227, 1651, 2299)(1580, 2228, 1663, 2311)(1583, 2231, 1666, 2314)(1584, 2232, 1667, 2315)(1587, 2235, 1606, 2254)(1589, 2237, 1673, 2321)(1590, 2238, 1670, 2318)(1591, 2239, 1669, 2317)(1594, 2242, 1634, 2282)(1595, 2243, 1678, 2326)(1596, 2244, 1679, 2327)(1597, 2245, 1616, 2264)(1598, 2246, 1665, 2313)(1599, 2247, 1683, 2331)(1602, 2250, 1687, 2335)(1603, 2251, 1688, 2336)(1608, 2256, 1694, 2342)(1609, 2257, 1691, 2339)(1610, 2258, 1690, 2338)(1614, 2262, 1700, 2348)(1615, 2263, 1701, 2349)(1617, 2265, 1686, 2334)(1618, 2266, 1685, 2333)(1619, 2267, 1695, 2343)(1620, 2268, 1707, 2355)(1623, 2271, 1710, 2358)(1624, 2272, 1711, 2359)(1629, 2277, 1717, 2365)(1630, 2278, 1714, 2362)(1631, 2279, 1713, 2361)(1635, 2283, 1722, 2370)(1636, 2284, 1723, 2371)(1638, 2286, 1709, 2357)(1640, 2288, 1728, 2376)(1645, 2293, 1724, 2372)(1648, 2296, 1729, 2377)(1649, 2297, 1736, 2384)(1652, 2300, 1739, 2387)(1653, 2301, 1730, 2378)(1654, 2302, 1699, 2347)(1655, 2303, 1698, 2346)(1658, 2306, 1712, 2360)(1659, 2307, 1745, 2393)(1660, 2308, 1746, 2394)(1661, 2309, 1734, 2382)(1662, 2310, 1738, 2386)(1664, 2312, 1751, 2399)(1668, 2316, 1702, 2350)(1671, 2319, 1752, 2400)(1672, 2320, 1758, 2406)(1674, 2322, 1760, 2408)(1675, 2323, 1753, 2401)(1676, 2324, 1721, 2369)(1677, 2325, 1720, 2368)(1680, 2328, 1689, 2337)(1681, 2329, 1765, 2413)(1682, 2330, 1756, 2404)(1684, 2332, 1768, 2416)(1692, 2340, 1769, 2417)(1693, 2341, 1776, 2424)(1696, 2344, 1779, 2427)(1697, 2345, 1770, 2418)(1703, 2351, 1785, 2433)(1704, 2352, 1786, 2434)(1705, 2353, 1774, 2422)(1706, 2354, 1778, 2426)(1708, 2356, 1791, 2439)(1715, 2363, 1792, 2440)(1716, 2364, 1798, 2446)(1718, 2366, 1800, 2448)(1719, 2367, 1793, 2441)(1725, 2373, 1805, 2453)(1726, 2374, 1796, 2444)(1727, 2375, 1807, 2455)(1731, 2379, 1804, 2452)(1732, 2380, 1783, 2431)(1733, 2381, 1773, 2421)(1735, 2383, 1809, 2457)(1737, 2385, 1814, 2462)(1740, 2388, 1815, 2463)(1741, 2389, 1789, 2437)(1742, 2390, 1816, 2464)(1743, 2391, 1772, 2420)(1744, 2392, 1794, 2442)(1747, 2395, 1802, 2450)(1748, 2396, 1822, 2470)(1749, 2397, 1781, 2429)(1750, 2398, 1824, 2472)(1754, 2402, 1784, 2432)(1755, 2403, 1795, 2443)(1757, 2405, 1826, 2474)(1759, 2407, 1830, 2478)(1761, 2409, 1831, 2479)(1762, 2410, 1787, 2435)(1763, 2411, 1832, 2480)(1764, 2412, 1771, 2419)(1766, 2414, 1837, 2485)(1767, 2415, 1838, 2486)(1775, 2423, 1840, 2488)(1777, 2425, 1845, 2493)(1780, 2428, 1846, 2494)(1782, 2430, 1847, 2495)(1788, 2436, 1853, 2501)(1790, 2438, 1855, 2503)(1797, 2445, 1857, 2505)(1799, 2447, 1861, 2509)(1801, 2449, 1862, 2510)(1803, 2451, 1863, 2511)(1806, 2454, 1868, 2516)(1808, 2456, 1870, 2518)(1810, 2458, 1871, 2519)(1811, 2459, 1873, 2521)(1812, 2460, 1866, 2514)(1813, 2461, 1875, 2523)(1817, 2465, 1849, 2497)(1818, 2466, 1848, 2496)(1819, 2467, 1859, 2507)(1820, 2468, 1854, 2502)(1821, 2469, 1867, 2515)(1823, 2471, 1851, 2499)(1825, 2473, 1883, 2531)(1827, 2475, 1884, 2532)(1828, 2476, 1850, 2498)(1829, 2477, 1887, 2535)(1833, 2481, 1865, 2513)(1834, 2482, 1864, 2512)(1835, 2483, 1843, 2491)(1836, 2484, 1852, 2500)(1839, 2487, 1894, 2542)(1841, 2489, 1895, 2543)(1842, 2490, 1897, 2545)(1844, 2492, 1899, 2547)(1856, 2504, 1907, 2555)(1858, 2506, 1908, 2556)(1860, 2508, 1911, 2559)(1869, 2517, 1917, 2565)(1872, 2520, 1915, 2563)(1874, 2522, 1916, 2564)(1876, 2524, 1921, 2569)(1877, 2525, 1902, 2550)(1878, 2526, 1901, 2549)(1879, 2527, 1909, 2557)(1880, 2528, 1919, 2567)(1881, 2529, 1910, 2558)(1882, 2530, 1923, 2571)(1885, 2533, 1903, 2551)(1886, 2534, 1905, 2553)(1888, 2536, 1922, 2570)(1889, 2537, 1914, 2562)(1890, 2538, 1913, 2561)(1891, 2539, 1896, 2544)(1892, 2540, 1898, 2546)(1893, 2541, 1924, 2572)(1900, 2548, 1928, 2576)(1904, 2552, 1926, 2574)(1906, 2554, 1930, 2578)(1912, 2560, 1929, 2577)(1918, 2566, 1932, 2580)(1920, 2568, 1933, 2581)(1925, 2573, 1936, 2584)(1927, 2575, 1937, 2585)(1931, 2579, 1939, 2587)(1934, 2582, 1940, 2588)(1935, 2583, 1941, 2589)(1938, 2586, 1942, 2590)(1943, 2591, 1944, 2592)
	L = (1, 1299)(2, 1301)(3, 1304)(4, 1297)(5, 1308)(6, 1298)(7, 1309)(8, 1313)(9, 1314)(10, 1300)(11, 1305)(12, 1319)(13, 1320)(14, 1302)(15, 1303)(16, 1323)(17, 1327)(18, 1329)(19, 1330)(20, 1306)(21, 1307)(22, 1333)(23, 1337)(24, 1339)(25, 1340)(26, 1310)(27, 1343)(28, 1311)(29, 1312)(30, 1346)(31, 1350)(32, 1315)(33, 1353)(34, 1355)(35, 1356)(36, 1316)(37, 1359)(38, 1317)(39, 1318)(40, 1362)(41, 1366)(42, 1321)(43, 1369)(44, 1371)(45, 1372)(46, 1322)(47, 1376)(48, 1377)(49, 1324)(50, 1380)(51, 1325)(52, 1326)(53, 1383)(54, 1387)(55, 1328)(56, 1388)(57, 1392)(58, 1331)(59, 1395)(60, 1397)(61, 1398)(62, 1332)(63, 1401)(64, 1402)(65, 1334)(66, 1405)(67, 1335)(68, 1336)(69, 1408)(70, 1412)(71, 1338)(72, 1413)(73, 1417)(74, 1341)(75, 1420)(76, 1422)(77, 1423)(78, 1342)(79, 1344)(80, 1427)(81, 1429)(82, 1430)(83, 1345)(84, 1434)(85, 1435)(86, 1347)(87, 1437)(88, 1348)(89, 1349)(90, 1439)(91, 1358)(92, 1443)(93, 1351)(94, 1352)(95, 1446)(96, 1448)(97, 1354)(98, 1449)(99, 1451)(100, 1357)(101, 1453)(102, 1455)(103, 1456)(104, 1360)(105, 1459)(106, 1461)(107, 1462)(108, 1361)(109, 1466)(110, 1467)(111, 1363)(112, 1469)(113, 1364)(114, 1365)(115, 1471)(116, 1374)(117, 1475)(118, 1367)(119, 1368)(120, 1478)(121, 1480)(122, 1370)(123, 1481)(124, 1483)(125, 1373)(126, 1485)(127, 1487)(128, 1488)(129, 1375)(130, 1489)(131, 1492)(132, 1378)(133, 1394)(134, 1391)(135, 1495)(136, 1379)(137, 1381)(138, 1499)(139, 1390)(140, 1382)(141, 1501)(142, 1384)(143, 1503)(144, 1385)(145, 1386)(146, 1505)(147, 1509)(148, 1510)(149, 1389)(150, 1512)(151, 1494)(152, 1464)(153, 1515)(154, 1393)(155, 1518)(156, 1396)(157, 1520)(158, 1399)(159, 1522)(160, 1523)(161, 1400)(162, 1524)(163, 1527)(164, 1403)(165, 1419)(166, 1416)(167, 1530)(168, 1404)(169, 1406)(170, 1534)(171, 1415)(172, 1407)(173, 1536)(174, 1409)(175, 1538)(176, 1410)(177, 1411)(178, 1540)(179, 1544)(180, 1545)(181, 1414)(182, 1547)(183, 1529)(184, 1432)(185, 1550)(186, 1418)(187, 1553)(188, 1421)(189, 1555)(190, 1424)(191, 1557)(192, 1558)(193, 1559)(194, 1425)(195, 1426)(196, 1562)(197, 1428)(198, 1431)(199, 1565)(200, 1566)(201, 1433)(202, 1567)(203, 1570)(204, 1436)(205, 1573)(206, 1438)(207, 1575)(208, 1440)(209, 1577)(210, 1441)(211, 1442)(212, 1444)(213, 1582)(214, 1526)(215, 1445)(216, 1584)(217, 1447)(218, 1585)(219, 1589)(220, 1590)(221, 1450)(222, 1583)(223, 1452)(224, 1595)(225, 1454)(226, 1597)(227, 1598)(228, 1599)(229, 1457)(230, 1458)(231, 1602)(232, 1460)(233, 1463)(234, 1605)(235, 1606)(236, 1465)(237, 1607)(238, 1610)(239, 1468)(240, 1613)(241, 1470)(242, 1615)(243, 1472)(244, 1617)(245, 1473)(246, 1474)(247, 1476)(248, 1622)(249, 1491)(250, 1477)(251, 1624)(252, 1479)(253, 1625)(254, 1629)(255, 1630)(256, 1482)(257, 1623)(258, 1484)(259, 1635)(260, 1486)(261, 1637)(262, 1638)(263, 1640)(264, 1641)(265, 1490)(266, 1500)(267, 1493)(268, 1496)(269, 1647)(270, 1648)(271, 1649)(272, 1497)(273, 1498)(274, 1652)(275, 1653)(276, 1611)(277, 1655)(278, 1502)(279, 1658)(280, 1504)(281, 1660)(282, 1506)(283, 1507)(284, 1508)(285, 1663)(286, 1651)(287, 1511)(288, 1668)(289, 1669)(290, 1513)(291, 1514)(292, 1516)(293, 1642)(294, 1665)(295, 1517)(296, 1633)(297, 1676)(298, 1519)(299, 1674)(300, 1521)(301, 1681)(302, 1682)(303, 1684)(304, 1685)(305, 1525)(306, 1535)(307, 1528)(308, 1531)(309, 1691)(310, 1692)(311, 1693)(312, 1532)(313, 1533)(314, 1696)(315, 1697)(316, 1571)(317, 1699)(318, 1537)(319, 1702)(320, 1539)(321, 1704)(322, 1541)(323, 1542)(324, 1543)(325, 1707)(326, 1695)(327, 1546)(328, 1712)(329, 1713)(330, 1548)(331, 1549)(332, 1551)(333, 1686)(334, 1709)(335, 1552)(336, 1593)(337, 1720)(338, 1554)(339, 1718)(340, 1556)(341, 1725)(342, 1726)(343, 1560)(344, 1729)(345, 1569)(346, 1561)(347, 1723)(348, 1731)(349, 1563)(350, 1564)(351, 1734)(352, 1735)(353, 1737)(354, 1738)(355, 1568)(356, 1574)(357, 1740)(358, 1572)(359, 1741)(360, 1742)(361, 1710)(362, 1744)(363, 1576)(364, 1747)(365, 1578)(366, 1579)(367, 1750)(368, 1580)(369, 1581)(370, 1753)(371, 1700)(372, 1732)(373, 1755)(374, 1586)(375, 1587)(376, 1588)(377, 1758)(378, 1591)(379, 1592)(380, 1746)(381, 1594)(382, 1688)(383, 1743)(384, 1596)(385, 1762)(386, 1766)(387, 1600)(388, 1769)(389, 1609)(390, 1601)(391, 1679)(392, 1771)(393, 1603)(394, 1604)(395, 1774)(396, 1775)(397, 1777)(398, 1778)(399, 1608)(400, 1614)(401, 1780)(402, 1612)(403, 1781)(404, 1782)(405, 1666)(406, 1784)(407, 1616)(408, 1787)(409, 1618)(410, 1619)(411, 1790)(412, 1620)(413, 1621)(414, 1793)(415, 1656)(416, 1772)(417, 1795)(418, 1626)(419, 1627)(420, 1628)(421, 1798)(422, 1631)(423, 1632)(424, 1786)(425, 1634)(426, 1644)(427, 1783)(428, 1636)(429, 1802)(430, 1806)(431, 1639)(432, 1807)(433, 1792)(434, 1643)(435, 1809)(436, 1645)(437, 1646)(438, 1811)(439, 1812)(440, 1650)(441, 1815)(442, 1654)(443, 1773)(444, 1817)(445, 1659)(446, 1818)(447, 1657)(448, 1819)(449, 1820)(450, 1673)(451, 1821)(452, 1661)(453, 1662)(454, 1825)(455, 1826)(456, 1664)(457, 1827)(458, 1667)(459, 1800)(460, 1670)(461, 1671)(462, 1829)(463, 1672)(464, 1832)(465, 1675)(466, 1677)(467, 1678)(468, 1680)(469, 1785)(470, 1835)(471, 1683)(472, 1838)(473, 1752)(474, 1687)(475, 1840)(476, 1689)(477, 1690)(478, 1842)(479, 1843)(480, 1694)(481, 1846)(482, 1698)(483, 1733)(484, 1848)(485, 1703)(486, 1849)(487, 1701)(488, 1850)(489, 1851)(490, 1717)(491, 1852)(492, 1705)(493, 1706)(494, 1856)(495, 1857)(496, 1708)(497, 1858)(498, 1711)(499, 1760)(500, 1714)(501, 1715)(502, 1860)(503, 1716)(504, 1863)(505, 1719)(506, 1721)(507, 1722)(508, 1724)(509, 1745)(510, 1866)(511, 1869)(512, 1727)(513, 1728)(514, 1730)(515, 1756)(516, 1874)(517, 1736)(518, 1875)(519, 1871)(520, 1739)(521, 1878)(522, 1845)(523, 1748)(524, 1879)(525, 1880)(526, 1881)(527, 1749)(528, 1751)(529, 1884)(530, 1754)(531, 1885)(532, 1757)(533, 1888)(534, 1865)(535, 1759)(536, 1889)(537, 1761)(538, 1763)(539, 1764)(540, 1765)(541, 1873)(542, 1893)(543, 1767)(544, 1768)(545, 1770)(546, 1796)(547, 1898)(548, 1776)(549, 1899)(550, 1895)(551, 1779)(552, 1902)(553, 1814)(554, 1788)(555, 1903)(556, 1904)(557, 1905)(558, 1789)(559, 1791)(560, 1908)(561, 1794)(562, 1909)(563, 1797)(564, 1912)(565, 1834)(566, 1799)(567, 1913)(568, 1801)(569, 1803)(570, 1804)(571, 1805)(572, 1897)(573, 1918)(574, 1915)(575, 1808)(576, 1810)(577, 1822)(578, 1901)(579, 1920)(580, 1813)(581, 1816)(582, 1900)(583, 1907)(584, 1823)(585, 1922)(586, 1824)(587, 1923)(588, 1831)(589, 1919)(590, 1828)(591, 1830)(592, 1914)(593, 1910)(594, 1833)(595, 1836)(596, 1837)(597, 1925)(598, 1891)(599, 1839)(600, 1841)(601, 1853)(602, 1877)(603, 1927)(604, 1844)(605, 1847)(606, 1876)(607, 1883)(608, 1854)(609, 1929)(610, 1855)(611, 1930)(612, 1862)(613, 1926)(614, 1859)(615, 1861)(616, 1890)(617, 1886)(618, 1864)(619, 1867)(620, 1868)(621, 1870)(622, 1887)(623, 1872)(624, 1882)(625, 1892)(626, 1932)(627, 1934)(628, 1894)(629, 1911)(630, 1896)(631, 1906)(632, 1916)(633, 1936)(634, 1938)(635, 1917)(636, 1939)(637, 1921)(638, 1935)(639, 1924)(640, 1941)(641, 1928)(642, 1931)(643, 1943)(644, 1933)(645, 1944)(646, 1937)(647, 1940)(648, 1942)(649, 1945)(650, 1946)(651, 1947)(652, 1948)(653, 1949)(654, 1950)(655, 1951)(656, 1952)(657, 1953)(658, 1954)(659, 1955)(660, 1956)(661, 1957)(662, 1958)(663, 1959)(664, 1960)(665, 1961)(666, 1962)(667, 1963)(668, 1964)(669, 1965)(670, 1966)(671, 1967)(672, 1968)(673, 1969)(674, 1970)(675, 1971)(676, 1972)(677, 1973)(678, 1974)(679, 1975)(680, 1976)(681, 1977)(682, 1978)(683, 1979)(684, 1980)(685, 1981)(686, 1982)(687, 1983)(688, 1984)(689, 1985)(690, 1986)(691, 1987)(692, 1988)(693, 1989)(694, 1990)(695, 1991)(696, 1992)(697, 1993)(698, 1994)(699, 1995)(700, 1996)(701, 1997)(702, 1998)(703, 1999)(704, 2000)(705, 2001)(706, 2002)(707, 2003)(708, 2004)(709, 2005)(710, 2006)(711, 2007)(712, 2008)(713, 2009)(714, 2010)(715, 2011)(716, 2012)(717, 2013)(718, 2014)(719, 2015)(720, 2016)(721, 2017)(722, 2018)(723, 2019)(724, 2020)(725, 2021)(726, 2022)(727, 2023)(728, 2024)(729, 2025)(730, 2026)(731, 2027)(732, 2028)(733, 2029)(734, 2030)(735, 2031)(736, 2032)(737, 2033)(738, 2034)(739, 2035)(740, 2036)(741, 2037)(742, 2038)(743, 2039)(744, 2040)(745, 2041)(746, 2042)(747, 2043)(748, 2044)(749, 2045)(750, 2046)(751, 2047)(752, 2048)(753, 2049)(754, 2050)(755, 2051)(756, 2052)(757, 2053)(758, 2054)(759, 2055)(760, 2056)(761, 2057)(762, 2058)(763, 2059)(764, 2060)(765, 2061)(766, 2062)(767, 2063)(768, 2064)(769, 2065)(770, 2066)(771, 2067)(772, 2068)(773, 2069)(774, 2070)(775, 2071)(776, 2072)(777, 2073)(778, 2074)(779, 2075)(780, 2076)(781, 2077)(782, 2078)(783, 2079)(784, 2080)(785, 2081)(786, 2082)(787, 2083)(788, 2084)(789, 2085)(790, 2086)(791, 2087)(792, 2088)(793, 2089)(794, 2090)(795, 2091)(796, 2092)(797, 2093)(798, 2094)(799, 2095)(800, 2096)(801, 2097)(802, 2098)(803, 2099)(804, 2100)(805, 2101)(806, 2102)(807, 2103)(808, 2104)(809, 2105)(810, 2106)(811, 2107)(812, 2108)(813, 2109)(814, 2110)(815, 2111)(816, 2112)(817, 2113)(818, 2114)(819, 2115)(820, 2116)(821, 2117)(822, 2118)(823, 2119)(824, 2120)(825, 2121)(826, 2122)(827, 2123)(828, 2124)(829, 2125)(830, 2126)(831, 2127)(832, 2128)(833, 2129)(834, 2130)(835, 2131)(836, 2132)(837, 2133)(838, 2134)(839, 2135)(840, 2136)(841, 2137)(842, 2138)(843, 2139)(844, 2140)(845, 2141)(846, 2142)(847, 2143)(848, 2144)(849, 2145)(850, 2146)(851, 2147)(852, 2148)(853, 2149)(854, 2150)(855, 2151)(856, 2152)(857, 2153)(858, 2154)(859, 2155)(860, 2156)(861, 2157)(862, 2158)(863, 2159)(864, 2160)(865, 2161)(866, 2162)(867, 2163)(868, 2164)(869, 2165)(870, 2166)(871, 2167)(872, 2168)(873, 2169)(874, 2170)(875, 2171)(876, 2172)(877, 2173)(878, 2174)(879, 2175)(880, 2176)(881, 2177)(882, 2178)(883, 2179)(884, 2180)(885, 2181)(886, 2182)(887, 2183)(888, 2184)(889, 2185)(890, 2186)(891, 2187)(892, 2188)(893, 2189)(894, 2190)(895, 2191)(896, 2192)(897, 2193)(898, 2194)(899, 2195)(900, 2196)(901, 2197)(902, 2198)(903, 2199)(904, 2200)(905, 2201)(906, 2202)(907, 2203)(908, 2204)(909, 2205)(910, 2206)(911, 2207)(912, 2208)(913, 2209)(914, 2210)(915, 2211)(916, 2212)(917, 2213)(918, 2214)(919, 2215)(920, 2216)(921, 2217)(922, 2218)(923, 2219)(924, 2220)(925, 2221)(926, 2222)(927, 2223)(928, 2224)(929, 2225)(930, 2226)(931, 2227)(932, 2228)(933, 2229)(934, 2230)(935, 2231)(936, 2232)(937, 2233)(938, 2234)(939, 2235)(940, 2236)(941, 2237)(942, 2238)(943, 2239)(944, 2240)(945, 2241)(946, 2242)(947, 2243)(948, 2244)(949, 2245)(950, 2246)(951, 2247)(952, 2248)(953, 2249)(954, 2250)(955, 2251)(956, 2252)(957, 2253)(958, 2254)(959, 2255)(960, 2256)(961, 2257)(962, 2258)(963, 2259)(964, 2260)(965, 2261)(966, 2262)(967, 2263)(968, 2264)(969, 2265)(970, 2266)(971, 2267)(972, 2268)(973, 2269)(974, 2270)(975, 2271)(976, 2272)(977, 2273)(978, 2274)(979, 2275)(980, 2276)(981, 2277)(982, 2278)(983, 2279)(984, 2280)(985, 2281)(986, 2282)(987, 2283)(988, 2284)(989, 2285)(990, 2286)(991, 2287)(992, 2288)(993, 2289)(994, 2290)(995, 2291)(996, 2292)(997, 2293)(998, 2294)(999, 2295)(1000, 2296)(1001, 2297)(1002, 2298)(1003, 2299)(1004, 2300)(1005, 2301)(1006, 2302)(1007, 2303)(1008, 2304)(1009, 2305)(1010, 2306)(1011, 2307)(1012, 2308)(1013, 2309)(1014, 2310)(1015, 2311)(1016, 2312)(1017, 2313)(1018, 2314)(1019, 2315)(1020, 2316)(1021, 2317)(1022, 2318)(1023, 2319)(1024, 2320)(1025, 2321)(1026, 2322)(1027, 2323)(1028, 2324)(1029, 2325)(1030, 2326)(1031, 2327)(1032, 2328)(1033, 2329)(1034, 2330)(1035, 2331)(1036, 2332)(1037, 2333)(1038, 2334)(1039, 2335)(1040, 2336)(1041, 2337)(1042, 2338)(1043, 2339)(1044, 2340)(1045, 2341)(1046, 2342)(1047, 2343)(1048, 2344)(1049, 2345)(1050, 2346)(1051, 2347)(1052, 2348)(1053, 2349)(1054, 2350)(1055, 2351)(1056, 2352)(1057, 2353)(1058, 2354)(1059, 2355)(1060, 2356)(1061, 2357)(1062, 2358)(1063, 2359)(1064, 2360)(1065, 2361)(1066, 2362)(1067, 2363)(1068, 2364)(1069, 2365)(1070, 2366)(1071, 2367)(1072, 2368)(1073, 2369)(1074, 2370)(1075, 2371)(1076, 2372)(1077, 2373)(1078, 2374)(1079, 2375)(1080, 2376)(1081, 2377)(1082, 2378)(1083, 2379)(1084, 2380)(1085, 2381)(1086, 2382)(1087, 2383)(1088, 2384)(1089, 2385)(1090, 2386)(1091, 2387)(1092, 2388)(1093, 2389)(1094, 2390)(1095, 2391)(1096, 2392)(1097, 2393)(1098, 2394)(1099, 2395)(1100, 2396)(1101, 2397)(1102, 2398)(1103, 2399)(1104, 2400)(1105, 2401)(1106, 2402)(1107, 2403)(1108, 2404)(1109, 2405)(1110, 2406)(1111, 2407)(1112, 2408)(1113, 2409)(1114, 2410)(1115, 2411)(1116, 2412)(1117, 2413)(1118, 2414)(1119, 2415)(1120, 2416)(1121, 2417)(1122, 2418)(1123, 2419)(1124, 2420)(1125, 2421)(1126, 2422)(1127, 2423)(1128, 2424)(1129, 2425)(1130, 2426)(1131, 2427)(1132, 2428)(1133, 2429)(1134, 2430)(1135, 2431)(1136, 2432)(1137, 2433)(1138, 2434)(1139, 2435)(1140, 2436)(1141, 2437)(1142, 2438)(1143, 2439)(1144, 2440)(1145, 2441)(1146, 2442)(1147, 2443)(1148, 2444)(1149, 2445)(1150, 2446)(1151, 2447)(1152, 2448)(1153, 2449)(1154, 2450)(1155, 2451)(1156, 2452)(1157, 2453)(1158, 2454)(1159, 2455)(1160, 2456)(1161, 2457)(1162, 2458)(1163, 2459)(1164, 2460)(1165, 2461)(1166, 2462)(1167, 2463)(1168, 2464)(1169, 2465)(1170, 2466)(1171, 2467)(1172, 2468)(1173, 2469)(1174, 2470)(1175, 2471)(1176, 2472)(1177, 2473)(1178, 2474)(1179, 2475)(1180, 2476)(1181, 2477)(1182, 2478)(1183, 2479)(1184, 2480)(1185, 2481)(1186, 2482)(1187, 2483)(1188, 2484)(1189, 2485)(1190, 2486)(1191, 2487)(1192, 2488)(1193, 2489)(1194, 2490)(1195, 2491)(1196, 2492)(1197, 2493)(1198, 2494)(1199, 2495)(1200, 2496)(1201, 2497)(1202, 2498)(1203, 2499)(1204, 2500)(1205, 2501)(1206, 2502)(1207, 2503)(1208, 2504)(1209, 2505)(1210, 2506)(1211, 2507)(1212, 2508)(1213, 2509)(1214, 2510)(1215, 2511)(1216, 2512)(1217, 2513)(1218, 2514)(1219, 2515)(1220, 2516)(1221, 2517)(1222, 2518)(1223, 2519)(1224, 2520)(1225, 2521)(1226, 2522)(1227, 2523)(1228, 2524)(1229, 2525)(1230, 2526)(1231, 2527)(1232, 2528)(1233, 2529)(1234, 2530)(1235, 2531)(1236, 2532)(1237, 2533)(1238, 2534)(1239, 2535)(1240, 2536)(1241, 2537)(1242, 2538)(1243, 2539)(1244, 2540)(1245, 2541)(1246, 2542)(1247, 2543)(1248, 2544)(1249, 2545)(1250, 2546)(1251, 2547)(1252, 2548)(1253, 2549)(1254, 2550)(1255, 2551)(1256, 2552)(1257, 2553)(1258, 2554)(1259, 2555)(1260, 2556)(1261, 2557)(1262, 2558)(1263, 2559)(1264, 2560)(1265, 2561)(1266, 2562)(1267, 2563)(1268, 2564)(1269, 2565)(1270, 2566)(1271, 2567)(1272, 2568)(1273, 2569)(1274, 2570)(1275, 2571)(1276, 2572)(1277, 2573)(1278, 2574)(1279, 2575)(1280, 2576)(1281, 2577)(1282, 2578)(1283, 2579)(1284, 2580)(1285, 2581)(1286, 2582)(1287, 2583)(1288, 2584)(1289, 2585)(1290, 2586)(1291, 2587)(1292, 2588)(1293, 2589)(1294, 2590)(1295, 2591)(1296, 2592)
	local type(s) :: { ( 6, 24 ), ( 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.3354
Graph:: simple bipartite
	v = 972 e = 1296 f = 270
	degree seq :: [ 2^648, 4^324 ]

E28.3356 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 12})
Quotient :: dipole
Aut^+ = $<648, 703>$ (small group id <648, 703>)
Aut   = $<1296, 3492>$ (small group id <1296, 3492>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y1)^2, (Y3 * Y1^-1)^3, Y1^12, (Y1^-2 * Y3 * Y1^3 * Y3)^2, (Y3 * Y1^3 * Y3 * Y1^-2)^2 ]
Map:: polytopal
	R = (1, 649, 2, 650, 5, 653, 11, 659, 21, 669, 37, 685, 63, 711, 62, 710, 36, 684, 20, 668, 10, 658, 4, 652)(3, 651, 7, 655, 15, 663, 27, 675, 47, 695, 79, 727, 129, 777, 91, 739, 54, 702, 31, 679, 17, 665, 8, 656)(6, 654, 13, 661, 25, 673, 43, 691, 73, 721, 119, 767, 182, 830, 128, 776, 78, 726, 46, 694, 26, 674, 14, 662)(9, 657, 18, 666, 32, 680, 55, 703, 92, 740, 147, 795, 205, 853, 139, 787, 86, 734, 51, 699, 29, 677, 16, 664)(12, 660, 23, 671, 41, 689, 69, 717, 113, 761, 174, 822, 246, 894, 181, 829, 118, 766, 72, 720, 42, 690, 24, 672)(19, 667, 34, 682, 58, 706, 97, 745, 153, 801, 219, 867, 291, 939, 218, 866, 152, 800, 96, 744, 57, 705, 33, 681)(22, 670, 39, 687, 67, 715, 109, 757, 169, 817, 239, 887, 319, 967, 245, 893, 173, 821, 112, 760, 68, 716, 40, 688)(28, 676, 49, 697, 83, 731, 134, 782, 199, 847, 271, 919, 316, 964, 236, 884, 166, 814, 111, 759, 84, 732, 50, 698)(30, 678, 52, 700, 87, 735, 140, 788, 206, 854, 278, 926, 309, 957, 231, 879, 167, 815, 123, 771, 75, 723, 44, 692)(35, 683, 60, 708, 100, 748, 156, 804, 223, 871, 297, 945, 379, 1027, 296, 944, 222, 870, 155, 803, 99, 747, 59, 707)(38, 686, 65, 713, 107, 755, 165, 813, 234, 882, 312, 960, 397, 1045, 318, 966, 238, 886, 168, 816, 108, 756, 66, 714)(45, 693, 76, 724, 124, 772, 98, 746, 154, 802, 220, 868, 293, 941, 304, 952, 232, 880, 178, 826, 115, 763, 70, 718)(48, 696, 81, 729, 133, 781, 197, 845, 268, 916, 349, 997, 417, 1065, 330, 978, 251, 899, 179, 827, 117, 765, 82, 730)(53, 701, 89, 737, 143, 791, 188, 836, 259, 907, 339, 987, 426, 1074, 363, 1011, 281, 929, 208, 856, 142, 790, 88, 736)(56, 704, 94, 742, 150, 798, 215, 863, 288, 936, 305, 953, 243, 891, 171, 819, 110, 758, 71, 719, 116, 764, 95, 743)(61, 709, 102, 750, 158, 806, 225, 873, 300, 948, 383, 1031, 467, 1115, 382, 1030, 299, 947, 224, 872, 157, 805, 101, 749)(64, 712, 105, 753, 163, 811, 230, 878, 307, 955, 391, 1039, 475, 1123, 396, 1044, 311, 959, 233, 881, 164, 812, 106, 754)(74, 722, 121, 769, 186, 834, 257, 905, 336, 984, 422, 1070, 353, 1001, 270, 918, 198, 846, 136, 784, 172, 820, 122, 770)(77, 725, 126, 774, 93, 741, 149, 797, 214, 862, 287, 935, 370, 1018, 429, 1077, 341, 989, 260, 908, 189, 837, 125, 773)(80, 728, 131, 779, 180, 828, 252, 900, 313, 961, 399, 1047, 473, 1121, 438, 1086, 348, 996, 267, 915, 196, 844, 132, 780)(85, 733, 137, 785, 202, 850, 141, 789, 207, 855, 279, 927, 360, 1008, 432, 1080, 346, 994, 274, 922, 201, 849, 135, 783)(90, 738, 145, 793, 175, 823, 248, 896, 317, 965, 402, 1050, 472, 1120, 452, 1100, 365, 1013, 282, 930, 209, 857, 144, 792)(103, 751, 160, 808, 227, 875, 302, 950, 386, 1034, 470, 1118, 540, 1188, 469, 1117, 385, 1033, 301, 949, 226, 874, 159, 807)(104, 752, 161, 809, 228, 876, 303, 951, 387, 1035, 471, 1119, 542, 1190, 474, 1122, 390, 1038, 306, 954, 229, 877, 162, 810)(114, 762, 176, 824, 249, 897, 328, 976, 413, 1061, 497, 1145, 425, 1073, 338, 986, 258, 906, 187, 835, 237, 885, 177, 825)(120, 768, 184, 832, 244, 892, 324, 972, 392, 1040, 477, 1125, 446, 1094, 356, 1004, 275, 923, 203, 851, 138, 786, 185, 833)(127, 775, 191, 839, 240, 888, 321, 969, 395, 1043, 479, 1127, 457, 1105, 369, 1017, 286, 934, 213, 861, 148, 796, 190, 838)(130, 778, 194, 842, 265, 913, 345, 993, 434, 1082, 513, 1161, 574, 1222, 515, 1163, 437, 1085, 347, 995, 266, 914, 195, 843)(146, 794, 211, 859, 283, 931, 366, 1014, 453, 1101, 527, 1175, 563, 1211, 496, 1144, 412, 1060, 327, 975, 247, 895, 210, 858)(151, 799, 217, 865, 273, 921, 200, 848, 272, 920, 354, 1002, 443, 1091, 519, 1167, 455, 1103, 374, 1022, 290, 938, 216, 864)(170, 818, 241, 889, 322, 970, 406, 1054, 490, 1138, 557, 1205, 500, 1148, 415, 1063, 329, 977, 250, 898, 310, 958, 242, 890)(183, 831, 255, 903, 204, 852, 276, 924, 350, 998, 440, 1088, 514, 1162, 567, 1215, 505, 1153, 421, 1069, 335, 983, 256, 904)(192, 840, 262, 910, 342, 990, 430, 1078, 510, 1158, 572, 1220, 610, 1258, 556, 1204, 489, 1137, 405, 1053, 320, 968, 261, 909)(193, 841, 263, 911, 343, 991, 431, 1079, 511, 1159, 573, 1221, 604, 1252, 550, 1198, 481, 1129, 433, 1081, 344, 992, 264, 912)(212, 860, 284, 932, 367, 1015, 454, 1102, 508, 1156, 570, 1218, 619, 1267, 586, 1234, 529, 1177, 456, 1104, 368, 1016, 285, 933)(221, 869, 295, 943, 373, 1021, 289, 937, 372, 1020, 459, 1107, 530, 1178, 587, 1235, 533, 1181, 464, 1112, 378, 1026, 294, 942)(235, 883, 314, 962, 400, 1048, 483, 1131, 551, 1199, 605, 1253, 560, 1208, 492, 1140, 407, 1055, 323, 971, 389, 1037, 315, 963)(253, 901, 332, 980, 418, 1066, 502, 1150, 566, 1214, 616, 1264, 576, 1224, 518, 1166, 442, 1090, 482, 1130, 398, 1046, 331, 979)(254, 902, 333, 981, 419, 1067, 503, 1151, 465, 1113, 537, 1185, 594, 1242, 600, 1248, 545, 1193, 504, 1152, 420, 1068, 334, 982)(269, 917, 351, 999, 441, 1089, 517, 1165, 552, 1200, 606, 1254, 579, 1227, 521, 1169, 444, 1092, 355, 1003, 436, 1084, 352, 1000)(277, 925, 358, 1006, 447, 1095, 523, 1171, 580, 1228, 609, 1257, 555, 1203, 488, 1136, 404, 1052, 487, 1135, 439, 1087, 357, 1005)(280, 928, 362, 1010, 424, 1072, 337, 985, 423, 1071, 506, 1154, 568, 1216, 602, 1250, 581, 1229, 526, 1174, 450, 1098, 361, 1009)(292, 940, 364, 1012, 451, 1099, 512, 1160, 449, 1097, 525, 1173, 583, 1231, 625, 1273, 591, 1239, 534, 1182, 462, 1110, 376, 1024)(298, 946, 381, 1029, 388, 1036, 377, 1025, 463, 1111, 535, 1183, 592, 1240, 624, 1272, 582, 1230, 524, 1172, 448, 1096, 359, 1007)(308, 956, 393, 1041, 478, 1126, 547, 1195, 601, 1249, 628, 1276, 607, 1255, 553, 1201, 484, 1132, 401, 1049, 384, 1032, 394, 1042)(325, 973, 409, 1057, 493, 1141, 561, 1209, 613, 1261, 632, 1280, 618, 1266, 569, 1217, 507, 1155, 546, 1194, 476, 1124, 408, 1056)(326, 974, 410, 1058, 494, 1142, 435, 1083, 375, 1023, 461, 1109, 532, 1180, 590, 1238, 597, 1245, 562, 1210, 495, 1143, 411, 1059)(340, 988, 428, 1076, 499, 1147, 414, 1062, 498, 1146, 564, 1212, 614, 1262, 593, 1241, 536, 1184, 571, 1219, 509, 1157, 427, 1075)(371, 1019, 416, 1064, 501, 1149, 559, 1207, 491, 1139, 558, 1206, 611, 1259, 589, 1237, 531, 1179, 460, 1108, 528, 1176, 458, 1106)(380, 1028, 445, 1093, 522, 1170, 578, 1226, 520, 1168, 577, 1225, 622, 1270, 636, 1284, 626, 1274, 584, 1232, 538, 1186, 466, 1114)(403, 1051, 486, 1134, 554, 1202, 608, 1256, 630, 1278, 640, 1288, 633, 1281, 615, 1263, 565, 1213, 598, 1246, 543, 1191, 485, 1133)(468, 1116, 516, 1164, 544, 1192, 599, 1247, 588, 1236, 627, 1275, 638, 1286, 644, 1292, 637, 1285, 623, 1271, 595, 1243, 539, 1187)(480, 1128, 549, 1197, 603, 1251, 629, 1277, 639, 1287, 645, 1293, 641, 1289, 631, 1279, 612, 1260, 596, 1244, 541, 1189, 548, 1196)(575, 1223, 621, 1269, 635, 1283, 643, 1291, 647, 1295, 648, 1296, 646, 1294, 642, 1290, 634, 1282, 620, 1268, 585, 1233, 617, 1265)(1297, 1945)(1298, 1946)(1299, 1947)(1300, 1948)(1301, 1949)(1302, 1950)(1303, 1951)(1304, 1952)(1305, 1953)(1306, 1954)(1307, 1955)(1308, 1956)(1309, 1957)(1310, 1958)(1311, 1959)(1312, 1960)(1313, 1961)(1314, 1962)(1315, 1963)(1316, 1964)(1317, 1965)(1318, 1966)(1319, 1967)(1320, 1968)(1321, 1969)(1322, 1970)(1323, 1971)(1324, 1972)(1325, 1973)(1326, 1974)(1327, 1975)(1328, 1976)(1329, 1977)(1330, 1978)(1331, 1979)(1332, 1980)(1333, 1981)(1334, 1982)(1335, 1983)(1336, 1984)(1337, 1985)(1338, 1986)(1339, 1987)(1340, 1988)(1341, 1989)(1342, 1990)(1343, 1991)(1344, 1992)(1345, 1993)(1346, 1994)(1347, 1995)(1348, 1996)(1349, 1997)(1350, 1998)(1351, 1999)(1352, 2000)(1353, 2001)(1354, 2002)(1355, 2003)(1356, 2004)(1357, 2005)(1358, 2006)(1359, 2007)(1360, 2008)(1361, 2009)(1362, 2010)(1363, 2011)(1364, 2012)(1365, 2013)(1366, 2014)(1367, 2015)(1368, 2016)(1369, 2017)(1370, 2018)(1371, 2019)(1372, 2020)(1373, 2021)(1374, 2022)(1375, 2023)(1376, 2024)(1377, 2025)(1378, 2026)(1379, 2027)(1380, 2028)(1381, 2029)(1382, 2030)(1383, 2031)(1384, 2032)(1385, 2033)(1386, 2034)(1387, 2035)(1388, 2036)(1389, 2037)(1390, 2038)(1391, 2039)(1392, 2040)(1393, 2041)(1394, 2042)(1395, 2043)(1396, 2044)(1397, 2045)(1398, 2046)(1399, 2047)(1400, 2048)(1401, 2049)(1402, 2050)(1403, 2051)(1404, 2052)(1405, 2053)(1406, 2054)(1407, 2055)(1408, 2056)(1409, 2057)(1410, 2058)(1411, 2059)(1412, 2060)(1413, 2061)(1414, 2062)(1415, 2063)(1416, 2064)(1417, 2065)(1418, 2066)(1419, 2067)(1420, 2068)(1421, 2069)(1422, 2070)(1423, 2071)(1424, 2072)(1425, 2073)(1426, 2074)(1427, 2075)(1428, 2076)(1429, 2077)(1430, 2078)(1431, 2079)(1432, 2080)(1433, 2081)(1434, 2082)(1435, 2083)(1436, 2084)(1437, 2085)(1438, 2086)(1439, 2087)(1440, 2088)(1441, 2089)(1442, 2090)(1443, 2091)(1444, 2092)(1445, 2093)(1446, 2094)(1447, 2095)(1448, 2096)(1449, 2097)(1450, 2098)(1451, 2099)(1452, 2100)(1453, 2101)(1454, 2102)(1455, 2103)(1456, 2104)(1457, 2105)(1458, 2106)(1459, 2107)(1460, 2108)(1461, 2109)(1462, 2110)(1463, 2111)(1464, 2112)(1465, 2113)(1466, 2114)(1467, 2115)(1468, 2116)(1469, 2117)(1470, 2118)(1471, 2119)(1472, 2120)(1473, 2121)(1474, 2122)(1475, 2123)(1476, 2124)(1477, 2125)(1478, 2126)(1479, 2127)(1480, 2128)(1481, 2129)(1482, 2130)(1483, 2131)(1484, 2132)(1485, 2133)(1486, 2134)(1487, 2135)(1488, 2136)(1489, 2137)(1490, 2138)(1491, 2139)(1492, 2140)(1493, 2141)(1494, 2142)(1495, 2143)(1496, 2144)(1497, 2145)(1498, 2146)(1499, 2147)(1500, 2148)(1501, 2149)(1502, 2150)(1503, 2151)(1504, 2152)(1505, 2153)(1506, 2154)(1507, 2155)(1508, 2156)(1509, 2157)(1510, 2158)(1511, 2159)(1512, 2160)(1513, 2161)(1514, 2162)(1515, 2163)(1516, 2164)(1517, 2165)(1518, 2166)(1519, 2167)(1520, 2168)(1521, 2169)(1522, 2170)(1523, 2171)(1524, 2172)(1525, 2173)(1526, 2174)(1527, 2175)(1528, 2176)(1529, 2177)(1530, 2178)(1531, 2179)(1532, 2180)(1533, 2181)(1534, 2182)(1535, 2183)(1536, 2184)(1537, 2185)(1538, 2186)(1539, 2187)(1540, 2188)(1541, 2189)(1542, 2190)(1543, 2191)(1544, 2192)(1545, 2193)(1546, 2194)(1547, 2195)(1548, 2196)(1549, 2197)(1550, 2198)(1551, 2199)(1552, 2200)(1553, 2201)(1554, 2202)(1555, 2203)(1556, 2204)(1557, 2205)(1558, 2206)(1559, 2207)(1560, 2208)(1561, 2209)(1562, 2210)(1563, 2211)(1564, 2212)(1565, 2213)(1566, 2214)(1567, 2215)(1568, 2216)(1569, 2217)(1570, 2218)(1571, 2219)(1572, 2220)(1573, 2221)(1574, 2222)(1575, 2223)(1576, 2224)(1577, 2225)(1578, 2226)(1579, 2227)(1580, 2228)(1581, 2229)(1582, 2230)(1583, 2231)(1584, 2232)(1585, 2233)(1586, 2234)(1587, 2235)(1588, 2236)(1589, 2237)(1590, 2238)(1591, 2239)(1592, 2240)(1593, 2241)(1594, 2242)(1595, 2243)(1596, 2244)(1597, 2245)(1598, 2246)(1599, 2247)(1600, 2248)(1601, 2249)(1602, 2250)(1603, 2251)(1604, 2252)(1605, 2253)(1606, 2254)(1607, 2255)(1608, 2256)(1609, 2257)(1610, 2258)(1611, 2259)(1612, 2260)(1613, 2261)(1614, 2262)(1615, 2263)(1616, 2264)(1617, 2265)(1618, 2266)(1619, 2267)(1620, 2268)(1621, 2269)(1622, 2270)(1623, 2271)(1624, 2272)(1625, 2273)(1626, 2274)(1627, 2275)(1628, 2276)(1629, 2277)(1630, 2278)(1631, 2279)(1632, 2280)(1633, 2281)(1634, 2282)(1635, 2283)(1636, 2284)(1637, 2285)(1638, 2286)(1639, 2287)(1640, 2288)(1641, 2289)(1642, 2290)(1643, 2291)(1644, 2292)(1645, 2293)(1646, 2294)(1647, 2295)(1648, 2296)(1649, 2297)(1650, 2298)(1651, 2299)(1652, 2300)(1653, 2301)(1654, 2302)(1655, 2303)(1656, 2304)(1657, 2305)(1658, 2306)(1659, 2307)(1660, 2308)(1661, 2309)(1662, 2310)(1663, 2311)(1664, 2312)(1665, 2313)(1666, 2314)(1667, 2315)(1668, 2316)(1669, 2317)(1670, 2318)(1671, 2319)(1672, 2320)(1673, 2321)(1674, 2322)(1675, 2323)(1676, 2324)(1677, 2325)(1678, 2326)(1679, 2327)(1680, 2328)(1681, 2329)(1682, 2330)(1683, 2331)(1684, 2332)(1685, 2333)(1686, 2334)(1687, 2335)(1688, 2336)(1689, 2337)(1690, 2338)(1691, 2339)(1692, 2340)(1693, 2341)(1694, 2342)(1695, 2343)(1696, 2344)(1697, 2345)(1698, 2346)(1699, 2347)(1700, 2348)(1701, 2349)(1702, 2350)(1703, 2351)(1704, 2352)(1705, 2353)(1706, 2354)(1707, 2355)(1708, 2356)(1709, 2357)(1710, 2358)(1711, 2359)(1712, 2360)(1713, 2361)(1714, 2362)(1715, 2363)(1716, 2364)(1717, 2365)(1718, 2366)(1719, 2367)(1720, 2368)(1721, 2369)(1722, 2370)(1723, 2371)(1724, 2372)(1725, 2373)(1726, 2374)(1727, 2375)(1728, 2376)(1729, 2377)(1730, 2378)(1731, 2379)(1732, 2380)(1733, 2381)(1734, 2382)(1735, 2383)(1736, 2384)(1737, 2385)(1738, 2386)(1739, 2387)(1740, 2388)(1741, 2389)(1742, 2390)(1743, 2391)(1744, 2392)(1745, 2393)(1746, 2394)(1747, 2395)(1748, 2396)(1749, 2397)(1750, 2398)(1751, 2399)(1752, 2400)(1753, 2401)(1754, 2402)(1755, 2403)(1756, 2404)(1757, 2405)(1758, 2406)(1759, 2407)(1760, 2408)(1761, 2409)(1762, 2410)(1763, 2411)(1764, 2412)(1765, 2413)(1766, 2414)(1767, 2415)(1768, 2416)(1769, 2417)(1770, 2418)(1771, 2419)(1772, 2420)(1773, 2421)(1774, 2422)(1775, 2423)(1776, 2424)(1777, 2425)(1778, 2426)(1779, 2427)(1780, 2428)(1781, 2429)(1782, 2430)(1783, 2431)(1784, 2432)(1785, 2433)(1786, 2434)(1787, 2435)(1788, 2436)(1789, 2437)(1790, 2438)(1791, 2439)(1792, 2440)(1793, 2441)(1794, 2442)(1795, 2443)(1796, 2444)(1797, 2445)(1798, 2446)(1799, 2447)(1800, 2448)(1801, 2449)(1802, 2450)(1803, 2451)(1804, 2452)(1805, 2453)(1806, 2454)(1807, 2455)(1808, 2456)(1809, 2457)(1810, 2458)(1811, 2459)(1812, 2460)(1813, 2461)(1814, 2462)(1815, 2463)(1816, 2464)(1817, 2465)(1818, 2466)(1819, 2467)(1820, 2468)(1821, 2469)(1822, 2470)(1823, 2471)(1824, 2472)(1825, 2473)(1826, 2474)(1827, 2475)(1828, 2476)(1829, 2477)(1830, 2478)(1831, 2479)(1832, 2480)(1833, 2481)(1834, 2482)(1835, 2483)(1836, 2484)(1837, 2485)(1838, 2486)(1839, 2487)(1840, 2488)(1841, 2489)(1842, 2490)(1843, 2491)(1844, 2492)(1845, 2493)(1846, 2494)(1847, 2495)(1848, 2496)(1849, 2497)(1850, 2498)(1851, 2499)(1852, 2500)(1853, 2501)(1854, 2502)(1855, 2503)(1856, 2504)(1857, 2505)(1858, 2506)(1859, 2507)(1860, 2508)(1861, 2509)(1862, 2510)(1863, 2511)(1864, 2512)(1865, 2513)(1866, 2514)(1867, 2515)(1868, 2516)(1869, 2517)(1870, 2518)(1871, 2519)(1872, 2520)(1873, 2521)(1874, 2522)(1875, 2523)(1876, 2524)(1877, 2525)(1878, 2526)(1879, 2527)(1880, 2528)(1881, 2529)(1882, 2530)(1883, 2531)(1884, 2532)(1885, 2533)(1886, 2534)(1887, 2535)(1888, 2536)(1889, 2537)(1890, 2538)(1891, 2539)(1892, 2540)(1893, 2541)(1894, 2542)(1895, 2543)(1896, 2544)(1897, 2545)(1898, 2546)(1899, 2547)(1900, 2548)(1901, 2549)(1902, 2550)(1903, 2551)(1904, 2552)(1905, 2553)(1906, 2554)(1907, 2555)(1908, 2556)(1909, 2557)(1910, 2558)(1911, 2559)(1912, 2560)(1913, 2561)(1914, 2562)(1915, 2563)(1916, 2564)(1917, 2565)(1918, 2566)(1919, 2567)(1920, 2568)(1921, 2569)(1922, 2570)(1923, 2571)(1924, 2572)(1925, 2573)(1926, 2574)(1927, 2575)(1928, 2576)(1929, 2577)(1930, 2578)(1931, 2579)(1932, 2580)(1933, 2581)(1934, 2582)(1935, 2583)(1936, 2584)(1937, 2585)(1938, 2586)(1939, 2587)(1940, 2588)(1941, 2589)(1942, 2590)(1943, 2591)(1944, 2592)
	L = (1, 1299)(2, 1302)(3, 1297)(4, 1305)(5, 1308)(6, 1298)(7, 1312)(8, 1309)(9, 1300)(10, 1315)(11, 1318)(12, 1301)(13, 1304)(14, 1319)(15, 1324)(16, 1303)(17, 1326)(18, 1329)(19, 1306)(20, 1331)(21, 1334)(22, 1307)(23, 1310)(24, 1335)(25, 1340)(26, 1341)(27, 1344)(28, 1311)(29, 1345)(30, 1313)(31, 1349)(32, 1352)(33, 1314)(34, 1355)(35, 1316)(36, 1357)(37, 1360)(38, 1317)(39, 1320)(40, 1361)(41, 1366)(42, 1367)(43, 1370)(44, 1321)(45, 1322)(46, 1373)(47, 1376)(48, 1323)(49, 1325)(50, 1377)(51, 1381)(52, 1384)(53, 1327)(54, 1386)(55, 1389)(56, 1328)(57, 1390)(58, 1394)(59, 1330)(60, 1397)(61, 1332)(62, 1399)(63, 1400)(64, 1333)(65, 1336)(66, 1401)(67, 1406)(68, 1407)(69, 1410)(70, 1337)(71, 1338)(72, 1413)(73, 1416)(74, 1339)(75, 1417)(76, 1421)(77, 1342)(78, 1423)(79, 1426)(80, 1343)(81, 1346)(82, 1427)(83, 1431)(84, 1432)(85, 1347)(86, 1434)(87, 1437)(88, 1348)(89, 1440)(90, 1350)(91, 1442)(92, 1444)(93, 1351)(94, 1353)(95, 1445)(96, 1447)(97, 1439)(98, 1354)(99, 1450)(100, 1436)(101, 1356)(102, 1455)(103, 1358)(104, 1359)(105, 1362)(106, 1457)(107, 1462)(108, 1463)(109, 1466)(110, 1363)(111, 1364)(112, 1468)(113, 1471)(114, 1365)(115, 1472)(116, 1475)(117, 1368)(118, 1476)(119, 1479)(120, 1369)(121, 1371)(122, 1480)(123, 1483)(124, 1484)(125, 1372)(126, 1486)(127, 1374)(128, 1488)(129, 1489)(130, 1375)(131, 1378)(132, 1490)(133, 1494)(134, 1496)(135, 1379)(136, 1380)(137, 1499)(138, 1382)(139, 1500)(140, 1396)(141, 1383)(142, 1503)(143, 1393)(144, 1385)(145, 1506)(146, 1387)(147, 1508)(148, 1388)(149, 1391)(150, 1512)(151, 1392)(152, 1492)(153, 1505)(154, 1395)(155, 1517)(156, 1498)(157, 1502)(158, 1495)(159, 1398)(160, 1458)(161, 1402)(162, 1456)(163, 1527)(164, 1528)(165, 1531)(166, 1403)(167, 1404)(168, 1533)(169, 1536)(170, 1405)(171, 1537)(172, 1408)(173, 1540)(174, 1543)(175, 1409)(176, 1411)(177, 1544)(178, 1546)(179, 1412)(180, 1414)(181, 1549)(182, 1550)(183, 1415)(184, 1418)(185, 1551)(186, 1554)(187, 1419)(188, 1420)(189, 1555)(190, 1422)(191, 1557)(192, 1424)(193, 1425)(194, 1428)(195, 1559)(196, 1448)(197, 1565)(198, 1429)(199, 1454)(200, 1430)(201, 1568)(202, 1452)(203, 1433)(204, 1435)(205, 1573)(206, 1453)(207, 1438)(208, 1576)(209, 1449)(210, 1441)(211, 1560)(212, 1443)(213, 1580)(214, 1547)(215, 1585)(216, 1446)(217, 1563)(218, 1561)(219, 1588)(220, 1590)(221, 1451)(222, 1582)(223, 1571)(224, 1594)(225, 1569)(226, 1567)(227, 1584)(228, 1600)(229, 1601)(230, 1604)(231, 1459)(232, 1460)(233, 1606)(234, 1609)(235, 1461)(236, 1610)(237, 1464)(238, 1613)(239, 1616)(240, 1465)(241, 1467)(242, 1617)(243, 1619)(244, 1469)(245, 1621)(246, 1622)(247, 1470)(248, 1473)(249, 1625)(250, 1474)(251, 1510)(252, 1627)(253, 1477)(254, 1478)(255, 1481)(256, 1629)(257, 1633)(258, 1482)(259, 1485)(260, 1636)(261, 1487)(262, 1630)(263, 1491)(264, 1507)(265, 1514)(266, 1642)(267, 1513)(268, 1646)(269, 1493)(270, 1647)(271, 1522)(272, 1497)(273, 1521)(274, 1651)(275, 1519)(276, 1653)(277, 1501)(278, 1655)(279, 1657)(280, 1504)(281, 1631)(282, 1660)(283, 1632)(284, 1509)(285, 1654)(286, 1518)(287, 1667)(288, 1523)(289, 1511)(290, 1668)(291, 1671)(292, 1515)(293, 1673)(294, 1516)(295, 1665)(296, 1663)(297, 1676)(298, 1520)(299, 1661)(300, 1644)(301, 1680)(302, 1669)(303, 1684)(304, 1524)(305, 1525)(306, 1685)(307, 1688)(308, 1526)(309, 1689)(310, 1529)(311, 1691)(312, 1694)(313, 1530)(314, 1532)(315, 1695)(316, 1697)(317, 1534)(318, 1699)(319, 1700)(320, 1535)(321, 1538)(322, 1703)(323, 1539)(324, 1704)(325, 1541)(326, 1542)(327, 1706)(328, 1710)(329, 1545)(330, 1712)(331, 1548)(332, 1707)(333, 1552)(334, 1558)(335, 1577)(336, 1579)(337, 1553)(338, 1719)(339, 1723)(340, 1556)(341, 1708)(342, 1709)(343, 1728)(344, 1718)(345, 1731)(346, 1562)(347, 1732)(348, 1596)(349, 1735)(350, 1564)(351, 1566)(352, 1736)(353, 1738)(354, 1740)(355, 1570)(356, 1741)(357, 1572)(358, 1581)(359, 1574)(360, 1745)(361, 1575)(362, 1717)(363, 1715)(364, 1578)(365, 1595)(366, 1720)(367, 1592)(368, 1751)(369, 1591)(370, 1730)(371, 1583)(372, 1586)(373, 1598)(374, 1756)(375, 1587)(376, 1757)(377, 1589)(378, 1759)(379, 1761)(380, 1593)(381, 1748)(382, 1747)(383, 1764)(384, 1597)(385, 1742)(386, 1753)(387, 1768)(388, 1599)(389, 1602)(390, 1769)(391, 1772)(392, 1603)(393, 1605)(394, 1773)(395, 1607)(396, 1776)(397, 1777)(398, 1608)(399, 1611)(400, 1780)(401, 1612)(402, 1781)(403, 1614)(404, 1615)(405, 1783)(406, 1787)(407, 1618)(408, 1620)(409, 1784)(410, 1623)(411, 1628)(412, 1637)(413, 1638)(414, 1624)(415, 1794)(416, 1626)(417, 1785)(418, 1786)(419, 1659)(420, 1793)(421, 1658)(422, 1640)(423, 1634)(424, 1662)(425, 1803)(426, 1804)(427, 1635)(428, 1792)(429, 1790)(430, 1795)(431, 1808)(432, 1639)(433, 1778)(434, 1666)(435, 1641)(436, 1643)(437, 1810)(438, 1812)(439, 1645)(440, 1648)(441, 1814)(442, 1649)(443, 1816)(444, 1650)(445, 1652)(446, 1681)(447, 1815)(448, 1774)(449, 1656)(450, 1821)(451, 1678)(452, 1677)(453, 1801)(454, 1799)(455, 1664)(456, 1824)(457, 1682)(458, 1809)(459, 1827)(460, 1670)(461, 1672)(462, 1829)(463, 1674)(464, 1832)(465, 1675)(466, 1833)(467, 1807)(468, 1679)(469, 1818)(470, 1837)(471, 1839)(472, 1683)(473, 1686)(474, 1840)(475, 1841)(476, 1687)(477, 1690)(478, 1744)(479, 1844)(480, 1692)(481, 1693)(482, 1729)(483, 1848)(484, 1696)(485, 1698)(486, 1846)(487, 1701)(488, 1705)(489, 1713)(490, 1714)(491, 1702)(492, 1854)(493, 1847)(494, 1725)(495, 1853)(496, 1724)(497, 1716)(498, 1711)(499, 1726)(500, 1861)(501, 1852)(502, 1855)(503, 1750)(504, 1842)(505, 1749)(506, 1865)(507, 1721)(508, 1722)(509, 1866)(510, 1859)(511, 1763)(512, 1727)(513, 1754)(514, 1733)(515, 1871)(516, 1734)(517, 1857)(518, 1737)(519, 1743)(520, 1739)(521, 1873)(522, 1765)(523, 1874)(524, 1877)(525, 1746)(526, 1880)(527, 1881)(528, 1752)(529, 1870)(530, 1884)(531, 1755)(532, 1883)(533, 1758)(534, 1867)(535, 1889)(536, 1760)(537, 1762)(538, 1878)(539, 1869)(540, 1876)(541, 1766)(542, 1893)(543, 1767)(544, 1770)(545, 1771)(546, 1800)(547, 1898)(548, 1775)(549, 1896)(550, 1782)(551, 1789)(552, 1779)(553, 1902)(554, 1897)(555, 1901)(556, 1797)(557, 1791)(558, 1788)(559, 1798)(560, 1908)(561, 1813)(562, 1894)(563, 1806)(564, 1911)(565, 1796)(566, 1906)(567, 1913)(568, 1904)(569, 1802)(570, 1805)(571, 1830)(572, 1916)(573, 1835)(574, 1825)(575, 1811)(576, 1909)(577, 1817)(578, 1819)(579, 1919)(580, 1836)(581, 1820)(582, 1834)(583, 1922)(584, 1822)(585, 1823)(586, 1917)(587, 1828)(588, 1826)(589, 1923)(590, 1895)(591, 1915)(592, 1899)(593, 1831)(594, 1920)(595, 1903)(596, 1905)(597, 1838)(598, 1858)(599, 1886)(600, 1845)(601, 1850)(602, 1843)(603, 1888)(604, 1924)(605, 1851)(606, 1849)(607, 1891)(608, 1864)(609, 1892)(610, 1862)(611, 1927)(612, 1856)(613, 1872)(614, 1925)(615, 1860)(616, 1930)(617, 1863)(618, 1926)(619, 1887)(620, 1868)(621, 1882)(622, 1933)(623, 1875)(624, 1890)(625, 1931)(626, 1879)(627, 1885)(628, 1900)(629, 1910)(630, 1914)(631, 1907)(632, 1938)(633, 1935)(634, 1912)(635, 1921)(636, 1939)(637, 1918)(638, 1937)(639, 1929)(640, 1942)(641, 1934)(642, 1928)(643, 1932)(644, 1943)(645, 1944)(646, 1936)(647, 1940)(648, 1941)(649, 1945)(650, 1946)(651, 1947)(652, 1948)(653, 1949)(654, 1950)(655, 1951)(656, 1952)(657, 1953)(658, 1954)(659, 1955)(660, 1956)(661, 1957)(662, 1958)(663, 1959)(664, 1960)(665, 1961)(666, 1962)(667, 1963)(668, 1964)(669, 1965)(670, 1966)(671, 1967)(672, 1968)(673, 1969)(674, 1970)(675, 1971)(676, 1972)(677, 1973)(678, 1974)(679, 1975)(680, 1976)(681, 1977)(682, 1978)(683, 1979)(684, 1980)(685, 1981)(686, 1982)(687, 1983)(688, 1984)(689, 1985)(690, 1986)(691, 1987)(692, 1988)(693, 1989)(694, 1990)(695, 1991)(696, 1992)(697, 1993)(698, 1994)(699, 1995)(700, 1996)(701, 1997)(702, 1998)(703, 1999)(704, 2000)(705, 2001)(706, 2002)(707, 2003)(708, 2004)(709, 2005)(710, 2006)(711, 2007)(712, 2008)(713, 2009)(714, 2010)(715, 2011)(716, 2012)(717, 2013)(718, 2014)(719, 2015)(720, 2016)(721, 2017)(722, 2018)(723, 2019)(724, 2020)(725, 2021)(726, 2022)(727, 2023)(728, 2024)(729, 2025)(730, 2026)(731, 2027)(732, 2028)(733, 2029)(734, 2030)(735, 2031)(736, 2032)(737, 2033)(738, 2034)(739, 2035)(740, 2036)(741, 2037)(742, 2038)(743, 2039)(744, 2040)(745, 2041)(746, 2042)(747, 2043)(748, 2044)(749, 2045)(750, 2046)(751, 2047)(752, 2048)(753, 2049)(754, 2050)(755, 2051)(756, 2052)(757, 2053)(758, 2054)(759, 2055)(760, 2056)(761, 2057)(762, 2058)(763, 2059)(764, 2060)(765, 2061)(766, 2062)(767, 2063)(768, 2064)(769, 2065)(770, 2066)(771, 2067)(772, 2068)(773, 2069)(774, 2070)(775, 2071)(776, 2072)(777, 2073)(778, 2074)(779, 2075)(780, 2076)(781, 2077)(782, 2078)(783, 2079)(784, 2080)(785, 2081)(786, 2082)(787, 2083)(788, 2084)(789, 2085)(790, 2086)(791, 2087)(792, 2088)(793, 2089)(794, 2090)(795, 2091)(796, 2092)(797, 2093)(798, 2094)(799, 2095)(800, 2096)(801, 2097)(802, 2098)(803, 2099)(804, 2100)(805, 2101)(806, 2102)(807, 2103)(808, 2104)(809, 2105)(810, 2106)(811, 2107)(812, 2108)(813, 2109)(814, 2110)(815, 2111)(816, 2112)(817, 2113)(818, 2114)(819, 2115)(820, 2116)(821, 2117)(822, 2118)(823, 2119)(824, 2120)(825, 2121)(826, 2122)(827, 2123)(828, 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2305)(1010, 2306)(1011, 2307)(1012, 2308)(1013, 2309)(1014, 2310)(1015, 2311)(1016, 2312)(1017, 2313)(1018, 2314)(1019, 2315)(1020, 2316)(1021, 2317)(1022, 2318)(1023, 2319)(1024, 2320)(1025, 2321)(1026, 2322)(1027, 2323)(1028, 2324)(1029, 2325)(1030, 2326)(1031, 2327)(1032, 2328)(1033, 2329)(1034, 2330)(1035, 2331)(1036, 2332)(1037, 2333)(1038, 2334)(1039, 2335)(1040, 2336)(1041, 2337)(1042, 2338)(1043, 2339)(1044, 2340)(1045, 2341)(1046, 2342)(1047, 2343)(1048, 2344)(1049, 2345)(1050, 2346)(1051, 2347)(1052, 2348)(1053, 2349)(1054, 2350)(1055, 2351)(1056, 2352)(1057, 2353)(1058, 2354)(1059, 2355)(1060, 2356)(1061, 2357)(1062, 2358)(1063, 2359)(1064, 2360)(1065, 2361)(1066, 2362)(1067, 2363)(1068, 2364)(1069, 2365)(1070, 2366)(1071, 2367)(1072, 2368)(1073, 2369)(1074, 2370)(1075, 2371)(1076, 2372)(1077, 2373)(1078, 2374)(1079, 2375)(1080, 2376)(1081, 2377)(1082, 2378)(1083, 2379)(1084, 2380)(1085, 2381)(1086, 2382)(1087, 2383)(1088, 2384)(1089, 2385)(1090, 2386)(1091, 2387)(1092, 2388)(1093, 2389)(1094, 2390)(1095, 2391)(1096, 2392)(1097, 2393)(1098, 2394)(1099, 2395)(1100, 2396)(1101, 2397)(1102, 2398)(1103, 2399)(1104, 2400)(1105, 2401)(1106, 2402)(1107, 2403)(1108, 2404)(1109, 2405)(1110, 2406)(1111, 2407)(1112, 2408)(1113, 2409)(1114, 2410)(1115, 2411)(1116, 2412)(1117, 2413)(1118, 2414)(1119, 2415)(1120, 2416)(1121, 2417)(1122, 2418)(1123, 2419)(1124, 2420)(1125, 2421)(1126, 2422)(1127, 2423)(1128, 2424)(1129, 2425)(1130, 2426)(1131, 2427)(1132, 2428)(1133, 2429)(1134, 2430)(1135, 2431)(1136, 2432)(1137, 2433)(1138, 2434)(1139, 2435)(1140, 2436)(1141, 2437)(1142, 2438)(1143, 2439)(1144, 2440)(1145, 2441)(1146, 2442)(1147, 2443)(1148, 2444)(1149, 2445)(1150, 2446)(1151, 2447)(1152, 2448)(1153, 2449)(1154, 2450)(1155, 2451)(1156, 2452)(1157, 2453)(1158, 2454)(1159, 2455)(1160, 2456)(1161, 2457)(1162, 2458)(1163, 2459)(1164, 2460)(1165, 2461)(1166, 2462)(1167, 2463)(1168, 2464)(1169, 2465)(1170, 2466)(1171, 2467)(1172, 2468)(1173, 2469)(1174, 2470)(1175, 2471)(1176, 2472)(1177, 2473)(1178, 2474)(1179, 2475)(1180, 2476)(1181, 2477)(1182, 2478)(1183, 2479)(1184, 2480)(1185, 2481)(1186, 2482)(1187, 2483)(1188, 2484)(1189, 2485)(1190, 2486)(1191, 2487)(1192, 2488)(1193, 2489)(1194, 2490)(1195, 2491)(1196, 2492)(1197, 2493)(1198, 2494)(1199, 2495)(1200, 2496)(1201, 2497)(1202, 2498)(1203, 2499)(1204, 2500)(1205, 2501)(1206, 2502)(1207, 2503)(1208, 2504)(1209, 2505)(1210, 2506)(1211, 2507)(1212, 2508)(1213, 2509)(1214, 2510)(1215, 2511)(1216, 2512)(1217, 2513)(1218, 2514)(1219, 2515)(1220, 2516)(1221, 2517)(1222, 2518)(1223, 2519)(1224, 2520)(1225, 2521)(1226, 2522)(1227, 2523)(1228, 2524)(1229, 2525)(1230, 2526)(1231, 2527)(1232, 2528)(1233, 2529)(1234, 2530)(1235, 2531)(1236, 2532)(1237, 2533)(1238, 2534)(1239, 2535)(1240, 2536)(1241, 2537)(1242, 2538)(1243, 2539)(1244, 2540)(1245, 2541)(1246, 2542)(1247, 2543)(1248, 2544)(1249, 2545)(1250, 2546)(1251, 2547)(1252, 2548)(1253, 2549)(1254, 2550)(1255, 2551)(1256, 2552)(1257, 2553)(1258, 2554)(1259, 2555)(1260, 2556)(1261, 2557)(1262, 2558)(1263, 2559)(1264, 2560)(1265, 2561)(1266, 2562)(1267, 2563)(1268, 2564)(1269, 2565)(1270, 2566)(1271, 2567)(1272, 2568)(1273, 2569)(1274, 2570)(1275, 2571)(1276, 2572)(1277, 2573)(1278, 2574)(1279, 2575)(1280, 2576)(1281, 2577)(1282, 2578)(1283, 2579)(1284, 2580)(1285, 2581)(1286, 2582)(1287, 2583)(1288, 2584)(1289, 2585)(1290, 2586)(1291, 2587)(1292, 2588)(1293, 2589)(1294, 2590)(1295, 2591)(1296, 2592)
	local type(s) :: { ( 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.3353
Graph:: simple bipartite
	v = 702 e = 1296 f = 540
	degree seq :: [ 2^648, 24^54 ]

E28.3357 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 12})
Quotient :: dipole
Aut^+ = $<648, 703>$ (small group id <648, 703>)
Aut   = $<1296, 3492>$ (small group id <1296, 3492>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1)^3, (Y3 * Y2^-1)^3, Y2^12, (Y2^-2 * Y1 * Y2^2 * Y1 * Y2^-1)^2, Y2^-1 * Y1 * Y2^4 * Y1 * Y2^2 * Y1 * Y2^4 * Y1 * Y2^-1 ]
Map::
	R = (1, 649, 2, 650)(3, 651, 7, 655)(4, 652, 9, 657)(5, 653, 11, 659)(6, 654, 13, 661)(8, 656, 16, 664)(10, 658, 19, 667)(12, 660, 22, 670)(14, 662, 25, 673)(15, 663, 27, 675)(17, 665, 30, 678)(18, 666, 32, 680)(20, 668, 35, 683)(21, 669, 37, 685)(23, 671, 40, 688)(24, 672, 42, 690)(26, 674, 45, 693)(28, 676, 48, 696)(29, 677, 50, 698)(31, 679, 53, 701)(33, 681, 56, 704)(34, 682, 58, 706)(36, 684, 61, 709)(38, 686, 64, 712)(39, 687, 66, 714)(41, 689, 69, 717)(43, 691, 72, 720)(44, 692, 74, 722)(46, 694, 77, 725)(47, 695, 79, 727)(49, 697, 82, 730)(51, 699, 85, 733)(52, 700, 87, 735)(54, 702, 90, 738)(55, 703, 92, 740)(57, 705, 95, 743)(59, 707, 98, 746)(60, 708, 100, 748)(62, 710, 103, 751)(63, 711, 104, 752)(65, 713, 107, 755)(67, 715, 110, 758)(68, 716, 112, 760)(70, 718, 115, 763)(71, 719, 117, 765)(73, 721, 120, 768)(75, 723, 123, 771)(76, 724, 125, 773)(78, 726, 128, 776)(80, 728, 130, 778)(81, 729, 132, 780)(83, 731, 135, 783)(84, 732, 137, 785)(86, 734, 113, 761)(88, 736, 111, 759)(89, 737, 143, 791)(91, 739, 146, 794)(93, 741, 148, 796)(94, 742, 150, 798)(96, 744, 151, 799)(97, 745, 153, 801)(99, 747, 126, 774)(101, 749, 124, 772)(102, 750, 158, 806)(105, 753, 162, 810)(106, 754, 164, 812)(108, 756, 167, 815)(109, 757, 169, 817)(114, 762, 175, 823)(116, 764, 178, 826)(118, 766, 180, 828)(119, 767, 182, 830)(121, 769, 183, 831)(122, 770, 185, 833)(127, 775, 190, 838)(129, 777, 193, 841)(131, 779, 191, 839)(133, 781, 189, 837)(134, 782, 198, 846)(136, 784, 200, 848)(138, 786, 202, 850)(139, 787, 174, 822)(140, 788, 173, 821)(141, 789, 172, 820)(142, 790, 171, 819)(144, 792, 181, 829)(145, 793, 209, 857)(147, 795, 212, 860)(149, 797, 176, 824)(152, 800, 218, 866)(154, 802, 220, 868)(155, 803, 188, 836)(156, 804, 187, 835)(157, 805, 165, 813)(159, 807, 163, 811)(160, 808, 211, 859)(161, 809, 228, 876)(166, 814, 233, 881)(168, 816, 235, 883)(170, 818, 237, 885)(177, 825, 244, 892)(179, 827, 247, 895)(184, 832, 253, 901)(186, 834, 255, 903)(192, 840, 246, 894)(194, 842, 264, 912)(195, 843, 261, 909)(196, 844, 260, 908)(197, 845, 259, 907)(199, 847, 268, 916)(201, 849, 271, 919)(203, 851, 269, 917)(204, 852, 275, 923)(205, 853, 276, 924)(206, 854, 251, 899)(207, 855, 250, 898)(208, 856, 249, 897)(210, 858, 265, 913)(213, 861, 285, 933)(214, 862, 243, 891)(215, 863, 242, 890)(216, 864, 241, 889)(217, 865, 289, 937)(219, 867, 292, 940)(221, 869, 290, 938)(222, 870, 296, 944)(223, 871, 297, 945)(224, 872, 232, 880)(225, 873, 231, 879)(226, 874, 230, 878)(227, 875, 286, 934)(229, 877, 304, 952)(234, 882, 308, 956)(236, 884, 311, 959)(238, 886, 309, 957)(239, 887, 315, 963)(240, 888, 316, 964)(245, 893, 305, 953)(248, 896, 325, 973)(252, 900, 329, 977)(254, 902, 332, 980)(256, 904, 330, 978)(257, 905, 336, 984)(258, 906, 337, 985)(262, 910, 326, 974)(263, 911, 343, 991)(266, 914, 347, 995)(267, 915, 348, 996)(270, 918, 331, 979)(272, 920, 354, 1002)(273, 921, 351, 999)(274, 922, 350, 998)(277, 925, 317, 965)(278, 926, 360, 1008)(279, 927, 361, 1009)(280, 928, 341, 989)(281, 929, 346, 994)(282, 930, 345, 993)(283, 931, 355, 1003)(284, 932, 367, 1015)(287, 935, 370, 1018)(288, 936, 371, 1019)(291, 939, 310, 958)(293, 941, 377, 1025)(294, 942, 374, 1022)(295, 943, 373, 1021)(298, 946, 338, 986)(299, 947, 382, 1030)(300, 948, 383, 1031)(301, 949, 320, 968)(302, 950, 369, 1017)(303, 951, 387, 1035)(306, 954, 391, 1039)(307, 955, 392, 1040)(312, 960, 398, 1046)(313, 961, 395, 1043)(314, 962, 394, 1042)(318, 966, 404, 1052)(319, 967, 405, 1053)(321, 969, 390, 1038)(322, 970, 389, 1037)(323, 971, 399, 1047)(324, 972, 411, 1059)(327, 975, 414, 1062)(328, 976, 415, 1063)(333, 981, 421, 1069)(334, 982, 418, 1066)(335, 983, 417, 1065)(339, 987, 426, 1074)(340, 988, 427, 1075)(342, 990, 413, 1061)(344, 992, 432, 1080)(349, 997, 428, 1076)(352, 1000, 433, 1081)(353, 1001, 440, 1088)(356, 1004, 443, 1091)(357, 1005, 434, 1082)(358, 1006, 403, 1051)(359, 1007, 402, 1050)(362, 1010, 416, 1064)(363, 1011, 449, 1097)(364, 1012, 450, 1098)(365, 1013, 438, 1086)(366, 1014, 442, 1090)(368, 1016, 455, 1103)(372, 1020, 406, 1054)(375, 1023, 456, 1104)(376, 1024, 462, 1110)(378, 1026, 464, 1112)(379, 1027, 457, 1105)(380, 1028, 425, 1073)(381, 1029, 424, 1072)(384, 1032, 393, 1041)(385, 1033, 469, 1117)(386, 1034, 460, 1108)(388, 1036, 472, 1120)(396, 1044, 473, 1121)(397, 1045, 480, 1128)(400, 1048, 483, 1131)(401, 1049, 474, 1122)(407, 1055, 489, 1137)(408, 1056, 490, 1138)(409, 1057, 478, 1126)(410, 1058, 482, 1130)(412, 1060, 495, 1143)(419, 1067, 496, 1144)(420, 1068, 502, 1150)(422, 1070, 504, 1152)(423, 1071, 497, 1145)(429, 1077, 509, 1157)(430, 1078, 500, 1148)(431, 1079, 511, 1159)(435, 1083, 508, 1156)(436, 1084, 487, 1135)(437, 1085, 477, 1125)(439, 1087, 513, 1161)(441, 1089, 518, 1166)(444, 1092, 519, 1167)(445, 1093, 493, 1141)(446, 1094, 520, 1168)(447, 1095, 476, 1124)(448, 1096, 498, 1146)(451, 1099, 506, 1154)(452, 1100, 526, 1174)(453, 1101, 485, 1133)(454, 1102, 528, 1176)(458, 1106, 488, 1136)(459, 1107, 499, 1147)(461, 1109, 530, 1178)(463, 1111, 534, 1182)(465, 1113, 535, 1183)(466, 1114, 491, 1139)(467, 1115, 536, 1184)(468, 1116, 475, 1123)(470, 1118, 541, 1189)(471, 1119, 542, 1190)(479, 1127, 544, 1192)(481, 1129, 549, 1197)(484, 1132, 550, 1198)(486, 1134, 551, 1199)(492, 1140, 557, 1205)(494, 1142, 559, 1207)(501, 1149, 561, 1209)(503, 1151, 565, 1213)(505, 1153, 566, 1214)(507, 1155, 567, 1215)(510, 1158, 572, 1220)(512, 1160, 574, 1222)(514, 1162, 575, 1223)(515, 1163, 577, 1225)(516, 1164, 570, 1218)(517, 1165, 579, 1227)(521, 1169, 553, 1201)(522, 1170, 552, 1200)(523, 1171, 563, 1211)(524, 1172, 558, 1206)(525, 1173, 571, 1219)(527, 1175, 555, 1203)(529, 1177, 587, 1235)(531, 1179, 588, 1236)(532, 1180, 554, 1202)(533, 1181, 591, 1239)(537, 1185, 569, 1217)(538, 1186, 568, 1216)(539, 1187, 547, 1195)(540, 1188, 556, 1204)(543, 1191, 598, 1246)(545, 1193, 599, 1247)(546, 1194, 601, 1249)(548, 1196, 603, 1251)(560, 1208, 611, 1259)(562, 1210, 612, 1260)(564, 1212, 615, 1263)(573, 1221, 621, 1269)(576, 1224, 619, 1267)(578, 1226, 620, 1268)(580, 1228, 625, 1273)(581, 1229, 606, 1254)(582, 1230, 605, 1253)(583, 1231, 613, 1261)(584, 1232, 623, 1271)(585, 1233, 614, 1262)(586, 1234, 627, 1275)(589, 1237, 607, 1255)(590, 1238, 609, 1257)(592, 1240, 626, 1274)(593, 1241, 618, 1266)(594, 1242, 617, 1265)(595, 1243, 600, 1248)(596, 1244, 602, 1250)(597, 1245, 628, 1276)(604, 1252, 632, 1280)(608, 1256, 630, 1278)(610, 1258, 634, 1282)(616, 1264, 633, 1281)(622, 1270, 636, 1284)(624, 1272, 637, 1285)(629, 1277, 640, 1288)(631, 1279, 641, 1289)(635, 1283, 643, 1291)(638, 1286, 644, 1292)(639, 1287, 645, 1293)(642, 1290, 646, 1294)(647, 1295, 648, 1296)(1297, 1945, 1299, 1947, 1304, 1952, 1313, 1961, 1327, 1975, 1350, 1998, 1387, 2035, 1358, 2006, 1332, 1980, 1316, 1964, 1306, 1954, 1300, 1948)(1298, 1946, 1301, 1949, 1308, 1956, 1319, 1967, 1337, 1985, 1366, 2014, 1412, 2060, 1374, 2022, 1342, 1990, 1322, 1970, 1310, 1958, 1302, 1950)(1303, 1951, 1309, 1957, 1320, 1968, 1339, 1987, 1369, 2017, 1417, 2065, 1480, 2128, 1432, 2080, 1379, 2027, 1345, 1993, 1324, 1972, 1311, 1959)(1305, 1953, 1314, 1962, 1329, 1977, 1353, 2001, 1392, 2040, 1448, 2096, 1464, 2112, 1404, 2052, 1361, 2009, 1334, 1982, 1317, 1965, 1307, 1955)(1312, 1960, 1323, 1971, 1343, 1991, 1376, 2024, 1427, 2075, 1492, 2140, 1562, 2210, 1500, 2148, 1436, 2084, 1382, 2030, 1347, 1995, 1325, 1973)(1315, 1963, 1330, 1978, 1355, 2003, 1395, 2043, 1451, 2099, 1518, 2166, 1583, 2231, 1511, 2159, 1445, 2093, 1389, 2037, 1351, 1999, 1328, 1976)(1318, 1966, 1333, 1981, 1359, 2007, 1401, 2049, 1459, 2107, 1527, 2175, 1602, 2250, 1535, 2183, 1468, 2116, 1407, 2055, 1363, 2011, 1335, 1983)(1321, 1969, 1340, 1988, 1371, 2019, 1420, 2068, 1483, 2131, 1553, 2201, 1623, 2271, 1546, 2194, 1477, 2125, 1414, 2062, 1367, 2015, 1338, 1986)(1326, 1974, 1346, 1994, 1380, 2028, 1434, 2082, 1499, 2147, 1570, 2218, 1652, 2300, 1574, 2222, 1502, 2150, 1438, 2086, 1384, 2032, 1348, 1996)(1331, 1979, 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2044)(1360, 2008, 1402, 2050, 1461, 2109, 1419, 2067, 1481, 2129, 1550, 2198, 1629, 2277, 1686, 2334, 1601, 2249, 1525, 2173, 1457, 2105, 1400, 2048)(1365, 2013, 1408, 2056, 1469, 2117, 1536, 2184, 1613, 2261, 1699, 2347, 1781, 2429, 1703, 2351, 1616, 2264, 1539, 2187, 1472, 2120, 1410, 2058)(1368, 2016, 1413, 2061, 1475, 2123, 1544, 2192, 1622, 2270, 1695, 2343, 1608, 2256, 1532, 2180, 1465, 2113, 1406, 2054, 1467, 2115, 1415, 2063)(1373, 2021, 1423, 2071, 1487, 2135, 1557, 2205, 1637, 2285, 1725, 2373, 1802, 2450, 1721, 2369, 1634, 2282, 1554, 2202, 1484, 2132, 1421, 2069)(1378, 2026, 1430, 2078, 1391, 2039, 1446, 2094, 1512, 2160, 1584, 2232, 1668, 2316, 1732, 2380, 1645, 2293, 1563, 2211, 1493, 2141, 1428, 2076)(1386, 2034, 1439, 2087, 1503, 2151, 1575, 2223, 1658, 2306, 1744, 2392, 1819, 2467, 1748, 2396, 1661, 2309, 1578, 2226, 1506, 2154, 1441, 2089)(1399, 2047, 1456, 2104, 1523, 2171, 1598, 2246, 1682, 2330, 1766, 2414, 1835, 2483, 1764, 2412, 1680, 2328, 1596, 2244, 1521, 2169, 1454, 2102)(1403, 2051, 1462, 2110, 1416, 2064, 1478, 2126, 1547, 2195, 1624, 2272, 1712, 2360, 1772, 2420, 1689, 2337, 1603, 2251, 1528, 2176, 1460, 2108)(1411, 2059, 1471, 2119, 1538, 2186, 1615, 2263, 1702, 2350, 1784, 2432, 1850, 2498, 1788, 2436, 1705, 2353, 1618, 2266, 1541, 2189, 1473, 2121)(1424, 2072, 1488, 2136, 1558, 2206, 1638, 2286, 1726, 2374, 1806, 2454, 1866, 2514, 1804, 2452, 1724, 2372, 1636, 2284, 1556, 2204, 1486, 2134)(1426, 2074, 1489, 2137, 1559, 2207, 1640, 2288, 1729, 2377, 1792, 2440, 1708, 2356, 1620, 2268, 1543, 2191, 1476, 2124, 1545, 2193, 1491, 2139)(1431, 2079, 1495, 2143, 1565, 2213, 1647, 2295, 1734, 2382, 1811, 2459, 1756, 2404, 1670, 2318, 1586, 2234, 1513, 2161, 1447, 2095, 1494, 2142)(1442, 2090, 1505, 2153, 1577, 2225, 1660, 2308, 1747, 2395, 1821, 2469, 1880, 2528, 1823, 2471, 1749, 2397, 1662, 2310, 1579, 2227, 1507, 2155)(1444, 2092, 1510, 2158, 1526, 2174, 1458, 2106, 1524, 2172, 1599, 2247, 1684, 2332, 1769, 2417, 1752, 2400, 1664, 2312, 1580, 2228, 1508, 2156)(1463, 2111, 1530, 2178, 1605, 2253, 1691, 2339, 1774, 2422, 1842, 2490, 1796, 2444, 1714, 2362, 1626, 2274, 1548, 2196, 1479, 2127, 1529, 2177)(1474, 2122, 1540, 2188, 1617, 2265, 1704, 2352, 1787, 2435, 1852, 2500, 1904, 2552, 1854, 2502, 1789, 2437, 1706, 2354, 1619, 2267, 1542, 2190)(1496, 2144, 1566, 2214, 1648, 2296, 1735, 2383, 1812, 2460, 1874, 2522, 1901, 2549, 1847, 2495, 1779, 2427, 1733, 2381, 1646, 2294, 1564, 2212)(1498, 2146, 1567, 2215, 1649, 2297, 1737, 2385, 1815, 2463, 1871, 2519, 1808, 2456, 1727, 2375, 1639, 2287, 1560, 2208, 1641, 2289, 1569, 2217)(1514, 2162, 1585, 2233, 1669, 2317, 1755, 2403, 1800, 2448, 1863, 2511, 1913, 2561, 1886, 2534, 1828, 2476, 1757, 2405, 1671, 2319, 1587, 2235)(1516, 2164, 1590, 2238, 1665, 2313, 1581, 2229, 1663, 2311, 1750, 2398, 1825, 2473, 1884, 2532, 1831, 2479, 1759, 2407, 1672, 2320, 1588, 2236)(1531, 2179, 1606, 2254, 1692, 2340, 1775, 2423, 1843, 2491, 1898, 2546, 1877, 2525, 1816, 2464, 1739, 2387, 1773, 2421, 1690, 2338, 1604, 2252)(1533, 2181, 1607, 2255, 1693, 2341, 1777, 2425, 1846, 2494, 1895, 2543, 1839, 2487, 1767, 2415, 1683, 2331, 1600, 2248, 1685, 2333, 1609, 2257)(1549, 2197, 1625, 2273, 1713, 2361, 1795, 2443, 1760, 2408, 1832, 2480, 1889, 2537, 1910, 2558, 1859, 2507, 1797, 2445, 1715, 2363, 1627, 2275)(1551, 2199, 1630, 2278, 1709, 2357, 1621, 2269, 1707, 2355, 1790, 2438, 1856, 2504, 1908, 2556, 1862, 2510, 1799, 2447, 1716, 2364, 1628, 2276)(1571, 2219, 1653, 2301, 1740, 2388, 1817, 2465, 1878, 2526, 1900, 2548, 1844, 2492, 1776, 2424, 1694, 2342, 1778, 2426, 1698, 2346, 1612, 2260)(1572, 2220, 1611, 2259, 1697, 2345, 1780, 2428, 1848, 2496, 1902, 2550, 1876, 2524, 1813, 2461, 1736, 2384, 1650, 2298, 1738, 2386, 1654, 2302)(1592, 2240, 1633, 2281, 1720, 2368, 1786, 2434, 1717, 2365, 1798, 2446, 1860, 2508, 1912, 2560, 1890, 2538, 1833, 2481, 1761, 2409, 1675, 2323)(1593, 2241, 1676, 2324, 1746, 2394, 1673, 2321, 1758, 2406, 1829, 2477, 1888, 2536, 1914, 2562, 1864, 2512, 1801, 2449, 1719, 2367, 1632, 2280)(1643, 2291, 1723, 2371, 1783, 2431, 1701, 2349, 1666, 2314, 1753, 2401, 1827, 2475, 1885, 2533, 1919, 2567, 1872, 2520, 1810, 2458, 1730, 2378)(1644, 2292, 1731, 2379, 1809, 2457, 1728, 2376, 1807, 2455, 1869, 2517, 1918, 2566, 1887, 2535, 1830, 2478, 1865, 2513, 1803, 2451, 1722, 2370)(1656, 2304, 1742, 2390, 1818, 2466, 1845, 2493, 1899, 2547, 1927, 2575, 1906, 2554, 1855, 2503, 1791, 2439, 1857, 2505, 1794, 2442, 1711, 2359)(1657, 2305, 1710, 2358, 1793, 2441, 1858, 2506, 1909, 2557, 1926, 2574, 1896, 2544, 1841, 2489, 1770, 2418, 1687, 2335, 1679, 2327, 1743, 2391)(1667, 2315, 1700, 2348, 1782, 2430, 1849, 2497, 1814, 2462, 1875, 2523, 1920, 2568, 1882, 2530, 1824, 2472, 1751, 2399, 1826, 2474, 1754, 2402)(1678, 2326, 1688, 2336, 1771, 2419, 1840, 2488, 1768, 2416, 1838, 2486, 1893, 2541, 1925, 2573, 1911, 2559, 1861, 2509, 1834, 2482, 1763, 2411)(1745, 2393, 1820, 2468, 1879, 2527, 1907, 2555, 1930, 2578, 1938, 2586, 1931, 2579, 1917, 2565, 1870, 2518, 1915, 2563, 1867, 2515, 1805, 2453)(1765, 2413, 1785, 2433, 1851, 2499, 1903, 2551, 1883, 2531, 1923, 2571, 1934, 2582, 1935, 2583, 1924, 2572, 1894, 2542, 1891, 2539, 1836, 2484)(1822, 2470, 1881, 2529, 1922, 2570, 1932, 2580, 1939, 2587, 1943, 2591, 1940, 2588, 1933, 2581, 1921, 2569, 1892, 2540, 1837, 2485, 1873, 2521)(1853, 2501, 1905, 2553, 1929, 2577, 1936, 2584, 1941, 2589, 1944, 2592, 1942, 2590, 1937, 2585, 1928, 2576, 1916, 2564, 1868, 2516, 1897, 2545)
	L = (1, 1298)(2, 1297)(3, 1303)(4, 1305)(5, 1307)(6, 1309)(7, 1299)(8, 1312)(9, 1300)(10, 1315)(11, 1301)(12, 1318)(13, 1302)(14, 1321)(15, 1323)(16, 1304)(17, 1326)(18, 1328)(19, 1306)(20, 1331)(21, 1333)(22, 1308)(23, 1336)(24, 1338)(25, 1310)(26, 1341)(27, 1311)(28, 1344)(29, 1346)(30, 1313)(31, 1349)(32, 1314)(33, 1352)(34, 1354)(35, 1316)(36, 1357)(37, 1317)(38, 1360)(39, 1362)(40, 1319)(41, 1365)(42, 1320)(43, 1368)(44, 1370)(45, 1322)(46, 1373)(47, 1375)(48, 1324)(49, 1378)(50, 1325)(51, 1381)(52, 1383)(53, 1327)(54, 1386)(55, 1388)(56, 1329)(57, 1391)(58, 1330)(59, 1394)(60, 1396)(61, 1332)(62, 1399)(63, 1400)(64, 1334)(65, 1403)(66, 1335)(67, 1406)(68, 1408)(69, 1337)(70, 1411)(71, 1413)(72, 1339)(73, 1416)(74, 1340)(75, 1419)(76, 1421)(77, 1342)(78, 1424)(79, 1343)(80, 1426)(81, 1428)(82, 1345)(83, 1431)(84, 1433)(85, 1347)(86, 1409)(87, 1348)(88, 1407)(89, 1439)(90, 1350)(91, 1442)(92, 1351)(93, 1444)(94, 1446)(95, 1353)(96, 1447)(97, 1449)(98, 1355)(99, 1422)(100, 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1938)(647, 1944)(648, 1943)(649, 1945)(650, 1946)(651, 1947)(652, 1948)(653, 1949)(654, 1950)(655, 1951)(656, 1952)(657, 1953)(658, 1954)(659, 1955)(660, 1956)(661, 1957)(662, 1958)(663, 1959)(664, 1960)(665, 1961)(666, 1962)(667, 1963)(668, 1964)(669, 1965)(670, 1966)(671, 1967)(672, 1968)(673, 1969)(674, 1970)(675, 1971)(676, 1972)(677, 1973)(678, 1974)(679, 1975)(680, 1976)(681, 1977)(682, 1978)(683, 1979)(684, 1980)(685, 1981)(686, 1982)(687, 1983)(688, 1984)(689, 1985)(690, 1986)(691, 1987)(692, 1988)(693, 1989)(694, 1990)(695, 1991)(696, 1992)(697, 1993)(698, 1994)(699, 1995)(700, 1996)(701, 1997)(702, 1998)(703, 1999)(704, 2000)(705, 2001)(706, 2002)(707, 2003)(708, 2004)(709, 2005)(710, 2006)(711, 2007)(712, 2008)(713, 2009)(714, 2010)(715, 2011)(716, 2012)(717, 2013)(718, 2014)(719, 2015)(720, 2016)(721, 2017)(722, 2018)(723, 2019)(724, 2020)(725, 2021)(726, 2022)(727, 2023)(728, 2024)(729, 2025)(730, 2026)(731, 2027)(732, 2028)(733, 2029)(734, 2030)(735, 2031)(736, 2032)(737, 2033)(738, 2034)(739, 2035)(740, 2036)(741, 2037)(742, 2038)(743, 2039)(744, 2040)(745, 2041)(746, 2042)(747, 2043)(748, 2044)(749, 2045)(750, 2046)(751, 2047)(752, 2048)(753, 2049)(754, 2050)(755, 2051)(756, 2052)(757, 2053)(758, 2054)(759, 2055)(760, 2056)(761, 2057)(762, 2058)(763, 2059)(764, 2060)(765, 2061)(766, 2062)(767, 2063)(768, 2064)(769, 2065)(770, 2066)(771, 2067)(772, 2068)(773, 2069)(774, 2070)(775, 2071)(776, 2072)(777, 2073)(778, 2074)(779, 2075)(780, 2076)(781, 2077)(782, 2078)(783, 2079)(784, 2080)(785, 2081)(786, 2082)(787, 2083)(788, 2084)(789, 2085)(790, 2086)(791, 2087)(792, 2088)(793, 2089)(794, 2090)(795, 2091)(796, 2092)(797, 2093)(798, 2094)(799, 2095)(800, 2096)(801, 2097)(802, 2098)(803, 2099)(804, 2100)(805, 2101)(806, 2102)(807, 2103)(808, 2104)(809, 2105)(810, 2106)(811, 2107)(812, 2108)(813, 2109)(814, 2110)(815, 2111)(816, 2112)(817, 2113)(818, 2114)(819, 2115)(820, 2116)(821, 2117)(822, 2118)(823, 2119)(824, 2120)(825, 2121)(826, 2122)(827, 2123)(828, 2124)(829, 2125)(830, 2126)(831, 2127)(832, 2128)(833, 2129)(834, 2130)(835, 2131)(836, 2132)(837, 2133)(838, 2134)(839, 2135)(840, 2136)(841, 2137)(842, 2138)(843, 2139)(844, 2140)(845, 2141)(846, 2142)(847, 2143)(848, 2144)(849, 2145)(850, 2146)(851, 2147)(852, 2148)(853, 2149)(854, 2150)(855, 2151)(856, 2152)(857, 2153)(858, 2154)(859, 2155)(860, 2156)(861, 2157)(862, 2158)(863, 2159)(864, 2160)(865, 2161)(866, 2162)(867, 2163)(868, 2164)(869, 2165)(870, 2166)(871, 2167)(872, 2168)(873, 2169)(874, 2170)(875, 2171)(876, 2172)(877, 2173)(878, 2174)(879, 2175)(880, 2176)(881, 2177)(882, 2178)(883, 2179)(884, 2180)(885, 2181)(886, 2182)(887, 2183)(888, 2184)(889, 2185)(890, 2186)(891, 2187)(892, 2188)(893, 2189)(894, 2190)(895, 2191)(896, 2192)(897, 2193)(898, 2194)(899, 2195)(900, 2196)(901, 2197)(902, 2198)(903, 2199)(904, 2200)(905, 2201)(906, 2202)(907, 2203)(908, 2204)(909, 2205)(910, 2206)(911, 2207)(912, 2208)(913, 2209)(914, 2210)(915, 2211)(916, 2212)(917, 2213)(918, 2214)(919, 2215)(920, 2216)(921, 2217)(922, 2218)(923, 2219)(924, 2220)(925, 2221)(926, 2222)(927, 2223)(928, 2224)(929, 2225)(930, 2226)(931, 2227)(932, 2228)(933, 2229)(934, 2230)(935, 2231)(936, 2232)(937, 2233)(938, 2234)(939, 2235)(940, 2236)(941, 2237)(942, 2238)(943, 2239)(944, 2240)(945, 2241)(946, 2242)(947, 2243)(948, 2244)(949, 2245)(950, 2246)(951, 2247)(952, 2248)(953, 2249)(954, 2250)(955, 2251)(956, 2252)(957, 2253)(958, 2254)(959, 2255)(960, 2256)(961, 2257)(962, 2258)(963, 2259)(964, 2260)(965, 2261)(966, 2262)(967, 2263)(968, 2264)(969, 2265)(970, 2266)(971, 2267)(972, 2268)(973, 2269)(974, 2270)(975, 2271)(976, 2272)(977, 2273)(978, 2274)(979, 2275)(980, 2276)(981, 2277)(982, 2278)(983, 2279)(984, 2280)(985, 2281)(986, 2282)(987, 2283)(988, 2284)(989, 2285)(990, 2286)(991, 2287)(992, 2288)(993, 2289)(994, 2290)(995, 2291)(996, 2292)(997, 2293)(998, 2294)(999, 2295)(1000, 2296)(1001, 2297)(1002, 2298)(1003, 2299)(1004, 2300)(1005, 2301)(1006, 2302)(1007, 2303)(1008, 2304)(1009, 2305)(1010, 2306)(1011, 2307)(1012, 2308)(1013, 2309)(1014, 2310)(1015, 2311)(1016, 2312)(1017, 2313)(1018, 2314)(1019, 2315)(1020, 2316)(1021, 2317)(1022, 2318)(1023, 2319)(1024, 2320)(1025, 2321)(1026, 2322)(1027, 2323)(1028, 2324)(1029, 2325)(1030, 2326)(1031, 2327)(1032, 2328)(1033, 2329)(1034, 2330)(1035, 2331)(1036, 2332)(1037, 2333)(1038, 2334)(1039, 2335)(1040, 2336)(1041, 2337)(1042, 2338)(1043, 2339)(1044, 2340)(1045, 2341)(1046, 2342)(1047, 2343)(1048, 2344)(1049, 2345)(1050, 2346)(1051, 2347)(1052, 2348)(1053, 2349)(1054, 2350)(1055, 2351)(1056, 2352)(1057, 2353)(1058, 2354)(1059, 2355)(1060, 2356)(1061, 2357)(1062, 2358)(1063, 2359)(1064, 2360)(1065, 2361)(1066, 2362)(1067, 2363)(1068, 2364)(1069, 2365)(1070, 2366)(1071, 2367)(1072, 2368)(1073, 2369)(1074, 2370)(1075, 2371)(1076, 2372)(1077, 2373)(1078, 2374)(1079, 2375)(1080, 2376)(1081, 2377)(1082, 2378)(1083, 2379)(1084, 2380)(1085, 2381)(1086, 2382)(1087, 2383)(1088, 2384)(1089, 2385)(1090, 2386)(1091, 2387)(1092, 2388)(1093, 2389)(1094, 2390)(1095, 2391)(1096, 2392)(1097, 2393)(1098, 2394)(1099, 2395)(1100, 2396)(1101, 2397)(1102, 2398)(1103, 2399)(1104, 2400)(1105, 2401)(1106, 2402)(1107, 2403)(1108, 2404)(1109, 2405)(1110, 2406)(1111, 2407)(1112, 2408)(1113, 2409)(1114, 2410)(1115, 2411)(1116, 2412)(1117, 2413)(1118, 2414)(1119, 2415)(1120, 2416)(1121, 2417)(1122, 2418)(1123, 2419)(1124, 2420)(1125, 2421)(1126, 2422)(1127, 2423)(1128, 2424)(1129, 2425)(1130, 2426)(1131, 2427)(1132, 2428)(1133, 2429)(1134, 2430)(1135, 2431)(1136, 2432)(1137, 2433)(1138, 2434)(1139, 2435)(1140, 2436)(1141, 2437)(1142, 2438)(1143, 2439)(1144, 2440)(1145, 2441)(1146, 2442)(1147, 2443)(1148, 2444)(1149, 2445)(1150, 2446)(1151, 2447)(1152, 2448)(1153, 2449)(1154, 2450)(1155, 2451)(1156, 2452)(1157, 2453)(1158, 2454)(1159, 2455)(1160, 2456)(1161, 2457)(1162, 2458)(1163, 2459)(1164, 2460)(1165, 2461)(1166, 2462)(1167, 2463)(1168, 2464)(1169, 2465)(1170, 2466)(1171, 2467)(1172, 2468)(1173, 2469)(1174, 2470)(1175, 2471)(1176, 2472)(1177, 2473)(1178, 2474)(1179, 2475)(1180, 2476)(1181, 2477)(1182, 2478)(1183, 2479)(1184, 2480)(1185, 2481)(1186, 2482)(1187, 2483)(1188, 2484)(1189, 2485)(1190, 2486)(1191, 2487)(1192, 2488)(1193, 2489)(1194, 2490)(1195, 2491)(1196, 2492)(1197, 2493)(1198, 2494)(1199, 2495)(1200, 2496)(1201, 2497)(1202, 2498)(1203, 2499)(1204, 2500)(1205, 2501)(1206, 2502)(1207, 2503)(1208, 2504)(1209, 2505)(1210, 2506)(1211, 2507)(1212, 2508)(1213, 2509)(1214, 2510)(1215, 2511)(1216, 2512)(1217, 2513)(1218, 2514)(1219, 2515)(1220, 2516)(1221, 2517)(1222, 2518)(1223, 2519)(1224, 2520)(1225, 2521)(1226, 2522)(1227, 2523)(1228, 2524)(1229, 2525)(1230, 2526)(1231, 2527)(1232, 2528)(1233, 2529)(1234, 2530)(1235, 2531)(1236, 2532)(1237, 2533)(1238, 2534)(1239, 2535)(1240, 2536)(1241, 2537)(1242, 2538)(1243, 2539)(1244, 2540)(1245, 2541)(1246, 2542)(1247, 2543)(1248, 2544)(1249, 2545)(1250, 2546)(1251, 2547)(1252, 2548)(1253, 2549)(1254, 2550)(1255, 2551)(1256, 2552)(1257, 2553)(1258, 2554)(1259, 2555)(1260, 2556)(1261, 2557)(1262, 2558)(1263, 2559)(1264, 2560)(1265, 2561)(1266, 2562)(1267, 2563)(1268, 2564)(1269, 2565)(1270, 2566)(1271, 2567)(1272, 2568)(1273, 2569)(1274, 2570)(1275, 2571)(1276, 2572)(1277, 2573)(1278, 2574)(1279, 2575)(1280, 2576)(1281, 2577)(1282, 2578)(1283, 2579)(1284, 2580)(1285, 2581)(1286, 2582)(1287, 2583)(1288, 2584)(1289, 2585)(1290, 2586)(1291, 2587)(1292, 2588)(1293, 2589)(1294, 2590)(1295, 2591)(1296, 2592)
	local type(s) :: { ( 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E28.3358
Graph:: bipartite
	v = 378 e = 1296 f = 864
	degree seq :: [ 4^324, 24^54 ]

E28.3358 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 12})
Quotient :: dipole
Aut^+ = $<648, 703>$ (small group id <648, 703>)
Aut   = $<1296, 3492>$ (small group id <1296, 3492>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^3, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1 * Y3^-1, Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3 * Y1 * Y3, Y3^12, Y3^-4 * Y1 * Y3^-1 * Y1 * Y3^-4 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1^-1 * Y3^2 * Y1^-1 * Y3^-4 * Y1^-1 * Y3^2 * Y1 * Y3^-1 * Y1, (Y3^5 * Y1^-1 * Y3^3 * Y1^-1)^2, (Y3^4 * Y1^-1 * Y3^2 * Y1^-1 * Y3^2 * Y1^-1)^2, (Y3 * Y2^-1)^12 ]
Map:: polytopal
	R = (1, 649, 2, 650, 4, 652)(3, 651, 8, 656, 10, 658)(5, 653, 12, 660, 6, 654)(7, 655, 15, 663, 11, 659)(9, 657, 18, 666, 20, 668)(13, 661, 25, 673, 23, 671)(14, 662, 24, 672, 28, 676)(16, 664, 31, 679, 29, 677)(17, 665, 33, 681, 21, 669)(19, 667, 36, 684, 38, 686)(22, 670, 30, 678, 42, 690)(26, 674, 47, 695, 45, 693)(27, 675, 49, 697, 51, 699)(32, 680, 57, 705, 55, 703)(34, 682, 61, 709, 59, 707)(35, 683, 63, 711, 39, 687)(37, 685, 66, 714, 68, 716)(40, 688, 60, 708, 72, 720)(41, 689, 73, 721, 75, 723)(43, 691, 46, 694, 78, 726)(44, 692, 79, 727, 52, 700)(48, 696, 85, 733, 83, 731)(50, 698, 88, 736, 90, 738)(53, 701, 56, 704, 94, 742)(54, 702, 95, 743, 76, 724)(58, 706, 101, 749, 99, 747)(62, 710, 107, 755, 105, 753)(64, 712, 111, 759, 109, 757)(65, 713, 113, 761, 69, 717)(67, 715, 116, 764, 118, 766)(70, 718, 110, 758, 122, 770)(71, 719, 123, 771, 125, 773)(74, 722, 128, 776, 130, 778)(77, 725, 133, 781, 135, 783)(80, 728, 139, 787, 137, 785)(81, 729, 84, 732, 142, 790)(82, 730, 143, 791, 136, 784)(86, 734, 149, 797, 147, 795)(87, 735, 150, 798, 91, 739)(89, 737, 153, 801, 155, 803)(92, 740, 138, 786, 159, 807)(93, 741, 160, 808, 162, 810)(96, 744, 166, 814, 164, 812)(97, 745, 100, 748, 169, 817)(98, 746, 170, 818, 163, 811)(102, 750, 176, 824, 174, 822)(103, 751, 106, 754, 178, 826)(104, 752, 179, 827, 126, 774)(108, 756, 185, 833, 183, 831)(112, 760, 156, 804, 152, 800)(114, 762, 192, 840, 151, 799)(115, 763, 167, 815, 119, 767)(117, 765, 195, 843, 196, 844)(120, 768, 191, 839, 200, 848)(121, 769, 201, 849, 203, 851)(124, 772, 172, 820, 175, 823)(127, 775, 193, 841, 131, 779)(129, 777, 210, 858, 211, 859)(132, 780, 165, 813, 215, 863)(134, 782, 181, 829, 184, 832)(140, 788, 212, 860, 209, 857)(141, 789, 177, 825, 168, 816)(144, 792, 226, 874, 224, 872)(145, 793, 148, 796, 161, 809)(146, 794, 228, 876, 223, 871)(154, 802, 235, 883, 236, 884)(157, 805, 233, 881, 240, 888)(158, 806, 241, 889, 243, 891)(171, 819, 254, 902, 252, 900)(173, 821, 256, 904, 251, 899)(180, 828, 264, 912, 262, 910)(182, 830, 266, 914, 261, 909)(186, 834, 272, 920, 270, 918)(187, 835, 189, 837, 217, 865)(188, 836, 273, 921, 204, 852)(190, 838, 276, 924, 238, 886)(194, 842, 265, 913, 197, 845)(198, 846, 250, 898, 284, 932)(199, 847, 285, 933, 287, 935)(202, 850, 268, 916, 271, 919)(205, 853, 249, 897, 207, 855)(206, 854, 259, 907, 293, 941)(208, 856, 263, 911, 296, 944)(213, 861, 279, 927, 301, 949)(214, 862, 302, 950, 304, 952)(216, 864, 269, 917, 307, 955)(218, 866, 225, 873, 310, 958)(219, 867, 221, 869, 246, 894)(220, 868, 311, 959, 244, 892)(222, 870, 314, 962, 299, 947)(227, 875, 237, 885, 234, 882)(229, 877, 322, 970, 320, 968)(230, 878, 232, 880, 242, 890)(231, 879, 324, 972, 245, 893)(239, 887, 332, 980, 334, 982)(247, 895, 253, 901, 342, 990)(248, 896, 343, 991, 305, 953)(255, 903, 298, 946, 297, 945)(257, 905, 353, 1001, 351, 999)(258, 906, 260, 908, 303, 951)(267, 915, 363, 1011, 361, 1009)(274, 922, 371, 1019, 369, 1017)(275, 923, 373, 1021, 308, 956)(277, 925, 377, 1025, 375, 1023)(278, 926, 378, 1026, 288, 936)(280, 928, 372, 1020, 281, 929)(282, 930, 360, 1008, 382, 1030)(283, 931, 383, 1031, 385, 1033)(286, 934, 331, 979, 376, 1024)(289, 937, 359, 1007, 291, 939)(290, 938, 367, 1015, 391, 1039)(292, 940, 370, 1018, 394, 1042)(294, 942, 345, 993, 397, 1045)(295, 943, 398, 1046, 400, 1048)(300, 948, 404, 1052, 384, 1032)(306, 954, 409, 1057, 410, 1058)(309, 957, 413, 1061, 380, 1028)(312, 960, 417, 1065, 415, 1063)(313, 961, 419, 1067, 340, 988)(315, 963, 321, 969, 422, 1070)(316, 964, 318, 966, 337, 985)(317, 965, 423, 1071, 414, 1062)(319, 967, 426, 1074, 330, 978)(323, 971, 411, 1059, 365, 1013)(325, 973, 354, 1002, 431, 1079)(326, 974, 433, 1081, 336, 984)(327, 975, 435, 1083, 335, 983)(328, 976, 418, 1066, 329, 977)(333, 981, 403, 1051, 421, 1069)(338, 986, 416, 1064, 444, 1092)(339, 987, 432, 1080, 386, 1034)(341, 989, 446, 1094, 436, 1084)(344, 992, 450, 1098, 448, 1096)(346, 994, 352, 1000, 452, 1100)(347, 995, 349, 997, 407, 1055)(348, 996, 453, 1101, 447, 1095)(350, 998, 456, 1104, 402, 1050)(355, 1003, 364, 1012, 395, 1043)(356, 1004, 461, 1109, 406, 1054)(357, 1005, 362, 1010, 463, 1111)(358, 1006, 464, 1112, 401, 1049)(366, 1014, 368, 1016, 399, 1047)(374, 1022, 476, 1124, 474, 1122)(379, 1027, 481, 1129, 405, 1053)(381, 1029, 483, 1131, 460, 1108)(387, 1035, 473, 1121, 389, 1037)(388, 1036, 478, 1126, 462, 1110)(390, 1038, 480, 1128, 491, 1139)(392, 1040, 466, 1114, 494, 1142)(393, 1041, 495, 1143, 497, 1145)(396, 1044, 500, 1148, 484, 1132)(408, 1056, 449, 1097, 509, 1157)(412, 1060, 475, 1123, 513, 1161)(420, 1068, 519, 1167, 517, 1165)(424, 1072, 523, 1171, 521, 1169)(425, 1073, 525, 1173, 442, 1090)(427, 1075, 429, 1077, 482, 1130)(428, 1076, 526, 1174, 520, 1168)(430, 1078, 504, 1152, 512, 1160)(434, 1082, 487, 1135, 485, 1133)(437, 1085, 499, 1147, 470, 1118)(438, 1086, 516, 1164, 440, 1088)(439, 1087, 492, 1140, 471, 1119)(441, 1089, 529, 1177, 533, 1181)(443, 1091, 535, 1183, 536, 1184)(445, 1093, 518, 1166, 538, 1186)(451, 1099, 542, 1190, 501, 1149)(454, 1102, 546, 1194, 544, 1192)(455, 1103, 548, 1196, 507, 1155)(457, 1105, 459, 1107, 530, 1178)(458, 1106, 549, 1197, 543, 1191)(465, 1113, 554, 1202, 552, 1200)(467, 1115, 469, 1117, 502, 1150)(468, 1116, 556, 1204, 551, 1199)(472, 1120, 559, 1207, 498, 1146)(477, 1125, 479, 1127, 496, 1144)(486, 1134, 505, 1153, 541, 1189)(488, 1136, 528, 1176, 547, 1195)(489, 1137, 561, 1209, 570, 1218)(490, 1138, 532, 1180, 572, 1220)(493, 1141, 574, 1222, 567, 1215)(503, 1151, 553, 1201, 582, 1230)(506, 1154, 566, 1214, 571, 1219)(508, 1156, 583, 1231, 569, 1217)(510, 1158, 524, 1172, 511, 1159)(514, 1162, 522, 1170, 587, 1235)(515, 1163, 588, 1236, 537, 1185)(527, 1175, 550, 1198, 557, 1205)(531, 1179, 589, 1237, 598, 1246)(534, 1182, 595, 1243, 597, 1245)(539, 1187, 545, 1193, 604, 1252)(540, 1188, 605, 1253, 584, 1232)(555, 1203, 606, 1254, 575, 1223)(558, 1206, 610, 1258, 580, 1228)(560, 1208, 616, 1264, 614, 1262)(562, 1210, 564, 1212, 576, 1224)(563, 1211, 594, 1242, 585, 1233)(565, 1213, 619, 1267, 573, 1221)(568, 1216, 578, 1226, 613, 1261)(577, 1225, 615, 1263, 627, 1275)(579, 1227, 607, 1255, 622, 1270)(581, 1229, 628, 1276, 593, 1241)(586, 1234, 631, 1279, 608, 1256)(590, 1238, 592, 1240, 600, 1248)(591, 1239, 609, 1257, 602, 1250)(596, 1244, 636, 1284, 599, 1247)(601, 1249, 632, 1280, 640, 1288)(603, 1251, 642, 1290, 611, 1259)(612, 1260, 643, 1291, 629, 1277)(617, 1265, 644, 1292, 623, 1271)(618, 1266, 645, 1293, 626, 1274)(620, 1268, 637, 1285, 635, 1283)(621, 1269, 624, 1272, 639, 1287)(625, 1273, 641, 1289, 633, 1281)(630, 1278, 634, 1282, 638, 1286)(646, 1294, 648, 1296, 647, 1295)(1297, 1945)(1298, 1946)(1299, 1947)(1300, 1948)(1301, 1949)(1302, 1950)(1303, 1951)(1304, 1952)(1305, 1953)(1306, 1954)(1307, 1955)(1308, 1956)(1309, 1957)(1310, 1958)(1311, 1959)(1312, 1960)(1313, 1961)(1314, 1962)(1315, 1963)(1316, 1964)(1317, 1965)(1318, 1966)(1319, 1967)(1320, 1968)(1321, 1969)(1322, 1970)(1323, 1971)(1324, 1972)(1325, 1973)(1326, 1974)(1327, 1975)(1328, 1976)(1329, 1977)(1330, 1978)(1331, 1979)(1332, 1980)(1333, 1981)(1334, 1982)(1335, 1983)(1336, 1984)(1337, 1985)(1338, 1986)(1339, 1987)(1340, 1988)(1341, 1989)(1342, 1990)(1343, 1991)(1344, 1992)(1345, 1993)(1346, 1994)(1347, 1995)(1348, 1996)(1349, 1997)(1350, 1998)(1351, 1999)(1352, 2000)(1353, 2001)(1354, 2002)(1355, 2003)(1356, 2004)(1357, 2005)(1358, 2006)(1359, 2007)(1360, 2008)(1361, 2009)(1362, 2010)(1363, 2011)(1364, 2012)(1365, 2013)(1366, 2014)(1367, 2015)(1368, 2016)(1369, 2017)(1370, 2018)(1371, 2019)(1372, 2020)(1373, 2021)(1374, 2022)(1375, 2023)(1376, 2024)(1377, 2025)(1378, 2026)(1379, 2027)(1380, 2028)(1381, 2029)(1382, 2030)(1383, 2031)(1384, 2032)(1385, 2033)(1386, 2034)(1387, 2035)(1388, 2036)(1389, 2037)(1390, 2038)(1391, 2039)(1392, 2040)(1393, 2041)(1394, 2042)(1395, 2043)(1396, 2044)(1397, 2045)(1398, 2046)(1399, 2047)(1400, 2048)(1401, 2049)(1402, 2050)(1403, 2051)(1404, 2052)(1405, 2053)(1406, 2054)(1407, 2055)(1408, 2056)(1409, 2057)(1410, 2058)(1411, 2059)(1412, 2060)(1413, 2061)(1414, 2062)(1415, 2063)(1416, 2064)(1417, 2065)(1418, 2066)(1419, 2067)(1420, 2068)(1421, 2069)(1422, 2070)(1423, 2071)(1424, 2072)(1425, 2073)(1426, 2074)(1427, 2075)(1428, 2076)(1429, 2077)(1430, 2078)(1431, 2079)(1432, 2080)(1433, 2081)(1434, 2082)(1435, 2083)(1436, 2084)(1437, 2085)(1438, 2086)(1439, 2087)(1440, 2088)(1441, 2089)(1442, 2090)(1443, 2091)(1444, 2092)(1445, 2093)(1446, 2094)(1447, 2095)(1448, 2096)(1449, 2097)(1450, 2098)(1451, 2099)(1452, 2100)(1453, 2101)(1454, 2102)(1455, 2103)(1456, 2104)(1457, 2105)(1458, 2106)(1459, 2107)(1460, 2108)(1461, 2109)(1462, 2110)(1463, 2111)(1464, 2112)(1465, 2113)(1466, 2114)(1467, 2115)(1468, 2116)(1469, 2117)(1470, 2118)(1471, 2119)(1472, 2120)(1473, 2121)(1474, 2122)(1475, 2123)(1476, 2124)(1477, 2125)(1478, 2126)(1479, 2127)(1480, 2128)(1481, 2129)(1482, 2130)(1483, 2131)(1484, 2132)(1485, 2133)(1486, 2134)(1487, 2135)(1488, 2136)(1489, 2137)(1490, 2138)(1491, 2139)(1492, 2140)(1493, 2141)(1494, 2142)(1495, 2143)(1496, 2144)(1497, 2145)(1498, 2146)(1499, 2147)(1500, 2148)(1501, 2149)(1502, 2150)(1503, 2151)(1504, 2152)(1505, 2153)(1506, 2154)(1507, 2155)(1508, 2156)(1509, 2157)(1510, 2158)(1511, 2159)(1512, 2160)(1513, 2161)(1514, 2162)(1515, 2163)(1516, 2164)(1517, 2165)(1518, 2166)(1519, 2167)(1520, 2168)(1521, 2169)(1522, 2170)(1523, 2171)(1524, 2172)(1525, 2173)(1526, 2174)(1527, 2175)(1528, 2176)(1529, 2177)(1530, 2178)(1531, 2179)(1532, 2180)(1533, 2181)(1534, 2182)(1535, 2183)(1536, 2184)(1537, 2185)(1538, 2186)(1539, 2187)(1540, 2188)(1541, 2189)(1542, 2190)(1543, 2191)(1544, 2192)(1545, 2193)(1546, 2194)(1547, 2195)(1548, 2196)(1549, 2197)(1550, 2198)(1551, 2199)(1552, 2200)(1553, 2201)(1554, 2202)(1555, 2203)(1556, 2204)(1557, 2205)(1558, 2206)(1559, 2207)(1560, 2208)(1561, 2209)(1562, 2210)(1563, 2211)(1564, 2212)(1565, 2213)(1566, 2214)(1567, 2215)(1568, 2216)(1569, 2217)(1570, 2218)(1571, 2219)(1572, 2220)(1573, 2221)(1574, 2222)(1575, 2223)(1576, 2224)(1577, 2225)(1578, 2226)(1579, 2227)(1580, 2228)(1581, 2229)(1582, 2230)(1583, 2231)(1584, 2232)(1585, 2233)(1586, 2234)(1587, 2235)(1588, 2236)(1589, 2237)(1590, 2238)(1591, 2239)(1592, 2240)(1593, 2241)(1594, 2242)(1595, 2243)(1596, 2244)(1597, 2245)(1598, 2246)(1599, 2247)(1600, 2248)(1601, 2249)(1602, 2250)(1603, 2251)(1604, 2252)(1605, 2253)(1606, 2254)(1607, 2255)(1608, 2256)(1609, 2257)(1610, 2258)(1611, 2259)(1612, 2260)(1613, 2261)(1614, 2262)(1615, 2263)(1616, 2264)(1617, 2265)(1618, 2266)(1619, 2267)(1620, 2268)(1621, 2269)(1622, 2270)(1623, 2271)(1624, 2272)(1625, 2273)(1626, 2274)(1627, 2275)(1628, 2276)(1629, 2277)(1630, 2278)(1631, 2279)(1632, 2280)(1633, 2281)(1634, 2282)(1635, 2283)(1636, 2284)(1637, 2285)(1638, 2286)(1639, 2287)(1640, 2288)(1641, 2289)(1642, 2290)(1643, 2291)(1644, 2292)(1645, 2293)(1646, 2294)(1647, 2295)(1648, 2296)(1649, 2297)(1650, 2298)(1651, 2299)(1652, 2300)(1653, 2301)(1654, 2302)(1655, 2303)(1656, 2304)(1657, 2305)(1658, 2306)(1659, 2307)(1660, 2308)(1661, 2309)(1662, 2310)(1663, 2311)(1664, 2312)(1665, 2313)(1666, 2314)(1667, 2315)(1668, 2316)(1669, 2317)(1670, 2318)(1671, 2319)(1672, 2320)(1673, 2321)(1674, 2322)(1675, 2323)(1676, 2324)(1677, 2325)(1678, 2326)(1679, 2327)(1680, 2328)(1681, 2329)(1682, 2330)(1683, 2331)(1684, 2332)(1685, 2333)(1686, 2334)(1687, 2335)(1688, 2336)(1689, 2337)(1690, 2338)(1691, 2339)(1692, 2340)(1693, 2341)(1694, 2342)(1695, 2343)(1696, 2344)(1697, 2345)(1698, 2346)(1699, 2347)(1700, 2348)(1701, 2349)(1702, 2350)(1703, 2351)(1704, 2352)(1705, 2353)(1706, 2354)(1707, 2355)(1708, 2356)(1709, 2357)(1710, 2358)(1711, 2359)(1712, 2360)(1713, 2361)(1714, 2362)(1715, 2363)(1716, 2364)(1717, 2365)(1718, 2366)(1719, 2367)(1720, 2368)(1721, 2369)(1722, 2370)(1723, 2371)(1724, 2372)(1725, 2373)(1726, 2374)(1727, 2375)(1728, 2376)(1729, 2377)(1730, 2378)(1731, 2379)(1732, 2380)(1733, 2381)(1734, 2382)(1735, 2383)(1736, 2384)(1737, 2385)(1738, 2386)(1739, 2387)(1740, 2388)(1741, 2389)(1742, 2390)(1743, 2391)(1744, 2392)(1745, 2393)(1746, 2394)(1747, 2395)(1748, 2396)(1749, 2397)(1750, 2398)(1751, 2399)(1752, 2400)(1753, 2401)(1754, 2402)(1755, 2403)(1756, 2404)(1757, 2405)(1758, 2406)(1759, 2407)(1760, 2408)(1761, 2409)(1762, 2410)(1763, 2411)(1764, 2412)(1765, 2413)(1766, 2414)(1767, 2415)(1768, 2416)(1769, 2417)(1770, 2418)(1771, 2419)(1772, 2420)(1773, 2421)(1774, 2422)(1775, 2423)(1776, 2424)(1777, 2425)(1778, 2426)(1779, 2427)(1780, 2428)(1781, 2429)(1782, 2430)(1783, 2431)(1784, 2432)(1785, 2433)(1786, 2434)(1787, 2435)(1788, 2436)(1789, 2437)(1790, 2438)(1791, 2439)(1792, 2440)(1793, 2441)(1794, 2442)(1795, 2443)(1796, 2444)(1797, 2445)(1798, 2446)(1799, 2447)(1800, 2448)(1801, 2449)(1802, 2450)(1803, 2451)(1804, 2452)(1805, 2453)(1806, 2454)(1807, 2455)(1808, 2456)(1809, 2457)(1810, 2458)(1811, 2459)(1812, 2460)(1813, 2461)(1814, 2462)(1815, 2463)(1816, 2464)(1817, 2465)(1818, 2466)(1819, 2467)(1820, 2468)(1821, 2469)(1822, 2470)(1823, 2471)(1824, 2472)(1825, 2473)(1826, 2474)(1827, 2475)(1828, 2476)(1829, 2477)(1830, 2478)(1831, 2479)(1832, 2480)(1833, 2481)(1834, 2482)(1835, 2483)(1836, 2484)(1837, 2485)(1838, 2486)(1839, 2487)(1840, 2488)(1841, 2489)(1842, 2490)(1843, 2491)(1844, 2492)(1845, 2493)(1846, 2494)(1847, 2495)(1848, 2496)(1849, 2497)(1850, 2498)(1851, 2499)(1852, 2500)(1853, 2501)(1854, 2502)(1855, 2503)(1856, 2504)(1857, 2505)(1858, 2506)(1859, 2507)(1860, 2508)(1861, 2509)(1862, 2510)(1863, 2511)(1864, 2512)(1865, 2513)(1866, 2514)(1867, 2515)(1868, 2516)(1869, 2517)(1870, 2518)(1871, 2519)(1872, 2520)(1873, 2521)(1874, 2522)(1875, 2523)(1876, 2524)(1877, 2525)(1878, 2526)(1879, 2527)(1880, 2528)(1881, 2529)(1882, 2530)(1883, 2531)(1884, 2532)(1885, 2533)(1886, 2534)(1887, 2535)(1888, 2536)(1889, 2537)(1890, 2538)(1891, 2539)(1892, 2540)(1893, 2541)(1894, 2542)(1895, 2543)(1896, 2544)(1897, 2545)(1898, 2546)(1899, 2547)(1900, 2548)(1901, 2549)(1902, 2550)(1903, 2551)(1904, 2552)(1905, 2553)(1906, 2554)(1907, 2555)(1908, 2556)(1909, 2557)(1910, 2558)(1911, 2559)(1912, 2560)(1913, 2561)(1914, 2562)(1915, 2563)(1916, 2564)(1917, 2565)(1918, 2566)(1919, 2567)(1920, 2568)(1921, 2569)(1922, 2570)(1923, 2571)(1924, 2572)(1925, 2573)(1926, 2574)(1927, 2575)(1928, 2576)(1929, 2577)(1930, 2578)(1931, 2579)(1932, 2580)(1933, 2581)(1934, 2582)(1935, 2583)(1936, 2584)(1937, 2585)(1938, 2586)(1939, 2587)(1940, 2588)(1941, 2589)(1942, 2590)(1943, 2591)(1944, 2592)
	L = (1, 1299)(2, 1302)(3, 1305)(4, 1307)(5, 1297)(6, 1310)(7, 1298)(8, 1300)(9, 1315)(10, 1317)(11, 1318)(12, 1319)(13, 1301)(14, 1323)(15, 1325)(16, 1303)(17, 1304)(18, 1306)(19, 1333)(20, 1335)(21, 1336)(22, 1337)(23, 1339)(24, 1308)(25, 1341)(26, 1309)(27, 1346)(28, 1348)(29, 1349)(30, 1311)(31, 1351)(32, 1312)(33, 1355)(34, 1313)(35, 1314)(36, 1316)(37, 1363)(38, 1365)(39, 1366)(40, 1367)(41, 1370)(42, 1372)(43, 1373)(44, 1320)(45, 1377)(46, 1321)(47, 1379)(48, 1322)(49, 1324)(50, 1385)(51, 1387)(52, 1388)(53, 1389)(54, 1326)(55, 1393)(56, 1327)(57, 1395)(58, 1328)(59, 1399)(60, 1329)(61, 1401)(62, 1330)(63, 1405)(64, 1331)(65, 1332)(66, 1334)(67, 1413)(68, 1415)(69, 1416)(70, 1417)(71, 1420)(72, 1422)(73, 1338)(74, 1425)(75, 1427)(76, 1428)(77, 1430)(78, 1432)(79, 1433)(80, 1340)(81, 1437)(82, 1342)(83, 1441)(84, 1343)(85, 1443)(86, 1344)(87, 1345)(88, 1347)(89, 1450)(90, 1452)(91, 1453)(92, 1454)(93, 1457)(94, 1459)(95, 1460)(96, 1350)(97, 1464)(98, 1352)(99, 1468)(100, 1353)(101, 1470)(102, 1354)(103, 1473)(104, 1356)(105, 1477)(106, 1357)(107, 1479)(108, 1358)(109, 1483)(110, 1359)(111, 1448)(112, 1360)(113, 1447)(114, 1361)(115, 1362)(116, 1364)(117, 1382)(118, 1493)(119, 1494)(120, 1495)(121, 1498)(122, 1500)(123, 1368)(124, 1502)(125, 1503)(126, 1504)(127, 1369)(128, 1371)(129, 1482)(130, 1508)(131, 1509)(132, 1510)(133, 1374)(134, 1512)(135, 1513)(136, 1514)(137, 1515)(138, 1375)(139, 1505)(140, 1376)(141, 1465)(142, 1519)(143, 1520)(144, 1378)(145, 1458)(146, 1380)(147, 1526)(148, 1381)(149, 1492)(150, 1488)(151, 1383)(152, 1384)(153, 1386)(154, 1398)(155, 1533)(156, 1534)(157, 1535)(158, 1538)(159, 1540)(160, 1390)(161, 1541)(162, 1542)(163, 1543)(164, 1501)(165, 1391)(166, 1411)(167, 1392)(168, 1474)(169, 1547)(170, 1548)(171, 1394)(172, 1421)(173, 1396)(174, 1554)(175, 1397)(176, 1532)(177, 1438)(178, 1557)(179, 1558)(180, 1400)(181, 1431)(182, 1402)(183, 1564)(184, 1403)(185, 1566)(186, 1404)(187, 1429)(188, 1406)(189, 1407)(190, 1408)(191, 1409)(192, 1423)(193, 1410)(194, 1412)(195, 1414)(196, 1577)(197, 1578)(198, 1579)(199, 1582)(200, 1584)(201, 1418)(202, 1586)(203, 1587)(204, 1588)(205, 1419)(206, 1573)(207, 1590)(208, 1591)(209, 1424)(210, 1426)(211, 1594)(212, 1595)(213, 1596)(214, 1599)(215, 1601)(216, 1602)(217, 1604)(218, 1605)(219, 1456)(220, 1434)(221, 1435)(222, 1436)(223, 1611)(224, 1612)(225, 1439)(226, 1530)(227, 1440)(228, 1616)(229, 1442)(230, 1539)(231, 1444)(232, 1445)(233, 1446)(234, 1449)(235, 1451)(236, 1625)(237, 1626)(238, 1627)(239, 1629)(240, 1631)(241, 1455)(242, 1632)(243, 1633)(244, 1634)(245, 1635)(246, 1636)(247, 1637)(248, 1461)(249, 1462)(250, 1463)(251, 1642)(252, 1643)(253, 1466)(254, 1593)(255, 1467)(256, 1647)(257, 1469)(258, 1600)(259, 1471)(260, 1472)(261, 1653)(262, 1585)(263, 1475)(264, 1490)(265, 1476)(266, 1657)(267, 1478)(268, 1499)(269, 1480)(270, 1662)(271, 1481)(272, 1507)(273, 1665)(274, 1484)(275, 1485)(276, 1671)(277, 1486)(278, 1487)(279, 1489)(280, 1491)(281, 1676)(282, 1677)(283, 1680)(284, 1682)(285, 1496)(286, 1684)(287, 1685)(288, 1686)(289, 1497)(290, 1675)(291, 1688)(292, 1689)(293, 1691)(294, 1692)(295, 1695)(296, 1697)(297, 1506)(298, 1698)(299, 1699)(300, 1681)(301, 1701)(302, 1511)(303, 1702)(304, 1703)(305, 1704)(306, 1518)(307, 1707)(308, 1708)(309, 1668)(310, 1710)(311, 1711)(312, 1516)(313, 1517)(314, 1706)(315, 1656)(316, 1537)(317, 1521)(318, 1522)(319, 1523)(320, 1723)(321, 1524)(322, 1661)(323, 1525)(324, 1727)(325, 1527)(326, 1528)(327, 1529)(328, 1531)(329, 1732)(330, 1733)(331, 1583)(332, 1536)(333, 1735)(334, 1736)(335, 1737)(336, 1574)(337, 1738)(338, 1739)(339, 1546)(340, 1741)(341, 1714)(342, 1743)(343, 1744)(344, 1544)(345, 1545)(346, 1615)(347, 1598)(348, 1549)(349, 1550)(350, 1551)(351, 1753)(352, 1552)(353, 1621)(354, 1553)(355, 1555)(356, 1556)(357, 1646)(358, 1559)(359, 1560)(360, 1561)(361, 1763)(362, 1562)(363, 1651)(364, 1563)(365, 1565)(366, 1696)(367, 1567)(368, 1568)(369, 1683)(370, 1569)(371, 1576)(372, 1570)(373, 1770)(374, 1571)(375, 1773)(376, 1572)(377, 1589)(378, 1729)(379, 1575)(380, 1778)(381, 1780)(382, 1718)(383, 1580)(384, 1782)(385, 1783)(386, 1784)(387, 1581)(388, 1747)(389, 1785)(390, 1786)(391, 1788)(392, 1789)(393, 1792)(394, 1794)(395, 1795)(396, 1756)(397, 1797)(398, 1592)(399, 1640)(400, 1798)(401, 1799)(402, 1800)(403, 1630)(404, 1597)(405, 1802)(406, 1623)(407, 1803)(408, 1804)(409, 1603)(410, 1807)(411, 1808)(412, 1766)(413, 1606)(414, 1810)(415, 1734)(416, 1607)(417, 1624)(418, 1608)(419, 1813)(420, 1609)(421, 1610)(422, 1816)(423, 1817)(424, 1613)(425, 1614)(426, 1748)(427, 1709)(428, 1617)(429, 1618)(430, 1619)(431, 1779)(432, 1620)(433, 1781)(434, 1622)(435, 1757)(436, 1826)(437, 1809)(438, 1628)(439, 1670)(440, 1827)(441, 1828)(442, 1830)(443, 1820)(444, 1833)(445, 1726)(446, 1638)(447, 1835)(448, 1801)(449, 1639)(450, 1664)(451, 1641)(452, 1839)(453, 1840)(454, 1644)(455, 1645)(456, 1759)(457, 1742)(458, 1648)(459, 1649)(460, 1650)(461, 1774)(462, 1652)(463, 1847)(464, 1848)(465, 1654)(466, 1655)(467, 1694)(468, 1658)(469, 1659)(470, 1660)(471, 1663)(472, 1666)(473, 1667)(474, 1858)(475, 1669)(476, 1767)(477, 1793)(478, 1672)(479, 1673)(480, 1674)(481, 1687)(482, 1863)(483, 1678)(484, 1864)(485, 1679)(486, 1851)(487, 1716)(488, 1865)(489, 1721)(490, 1867)(491, 1869)(492, 1717)(493, 1725)(494, 1871)(495, 1690)(496, 1761)(497, 1872)(498, 1873)(499, 1722)(500, 1693)(501, 1875)(502, 1876)(503, 1877)(504, 1834)(505, 1700)(506, 1868)(507, 1854)(508, 1843)(509, 1880)(510, 1705)(511, 1832)(512, 1752)(513, 1881)(514, 1882)(515, 1712)(516, 1713)(517, 1886)(518, 1715)(519, 1730)(520, 1889)(521, 1859)(522, 1719)(523, 1806)(524, 1720)(525, 1866)(526, 1853)(527, 1724)(528, 1728)(529, 1731)(530, 1893)(531, 1751)(532, 1787)(533, 1895)(534, 1755)(535, 1740)(536, 1896)(537, 1897)(538, 1898)(539, 1899)(540, 1745)(541, 1746)(542, 1758)(543, 1904)(544, 1887)(545, 1749)(546, 1824)(547, 1750)(548, 1894)(549, 1823)(550, 1754)(551, 1907)(552, 1874)(553, 1760)(554, 1775)(555, 1762)(556, 1846)(557, 1764)(558, 1765)(559, 1910)(560, 1768)(561, 1769)(562, 1791)(563, 1771)(564, 1772)(565, 1776)(566, 1777)(567, 1917)(568, 1913)(569, 1918)(570, 1919)(571, 1856)(572, 1829)(573, 1811)(574, 1790)(575, 1921)(576, 1922)(577, 1818)(578, 1796)(579, 1879)(580, 1914)(581, 1822)(582, 1925)(583, 1805)(584, 1908)(585, 1926)(586, 1845)(587, 1923)(588, 1915)(589, 1812)(590, 1831)(591, 1814)(592, 1815)(593, 1929)(594, 1819)(595, 1821)(596, 1825)(597, 1933)(598, 1934)(599, 1836)(600, 1935)(601, 1841)(602, 1937)(603, 1852)(604, 1936)(605, 1932)(606, 1837)(607, 1838)(608, 1940)(609, 1842)(610, 1844)(611, 1930)(612, 1849)(613, 1850)(614, 1920)(615, 1855)(616, 1862)(617, 1857)(618, 1860)(619, 1931)(620, 1861)(621, 1888)(622, 1916)(623, 1927)(624, 1870)(625, 1924)(626, 1892)(627, 1943)(628, 1878)(629, 1942)(630, 1885)(631, 1883)(632, 1884)(633, 1905)(634, 1890)(635, 1891)(636, 1941)(637, 1903)(638, 1938)(639, 1912)(640, 1944)(641, 1902)(642, 1900)(643, 1901)(644, 1909)(645, 1906)(646, 1911)(647, 1928)(648, 1939)(649, 1945)(650, 1946)(651, 1947)(652, 1948)(653, 1949)(654, 1950)(655, 1951)(656, 1952)(657, 1953)(658, 1954)(659, 1955)(660, 1956)(661, 1957)(662, 1958)(663, 1959)(664, 1960)(665, 1961)(666, 1962)(667, 1963)(668, 1964)(669, 1965)(670, 1966)(671, 1967)(672, 1968)(673, 1969)(674, 1970)(675, 1971)(676, 1972)(677, 1973)(678, 1974)(679, 1975)(680, 1976)(681, 1977)(682, 1978)(683, 1979)(684, 1980)(685, 1981)(686, 1982)(687, 1983)(688, 1984)(689, 1985)(690, 1986)(691, 1987)(692, 1988)(693, 1989)(694, 1990)(695, 1991)(696, 1992)(697, 1993)(698, 1994)(699, 1995)(700, 1996)(701, 1997)(702, 1998)(703, 1999)(704, 2000)(705, 2001)(706, 2002)(707, 2003)(708, 2004)(709, 2005)(710, 2006)(711, 2007)(712, 2008)(713, 2009)(714, 2010)(715, 2011)(716, 2012)(717, 2013)(718, 2014)(719, 2015)(720, 2016)(721, 2017)(722, 2018)(723, 2019)(724, 2020)(725, 2021)(726, 2022)(727, 2023)(728, 2024)(729, 2025)(730, 2026)(731, 2027)(732, 2028)(733, 2029)(734, 2030)(735, 2031)(736, 2032)(737, 2033)(738, 2034)(739, 2035)(740, 2036)(741, 2037)(742, 2038)(743, 2039)(744, 2040)(745, 2041)(746, 2042)(747, 2043)(748, 2044)(749, 2045)(750, 2046)(751, 2047)(752, 2048)(753, 2049)(754, 2050)(755, 2051)(756, 2052)(757, 2053)(758, 2054)(759, 2055)(760, 2056)(761, 2057)(762, 2058)(763, 2059)(764, 2060)(765, 2061)(766, 2062)(767, 2063)(768, 2064)(769, 2065)(770, 2066)(771, 2067)(772, 2068)(773, 2069)(774, 2070)(775, 2071)(776, 2072)(777, 2073)(778, 2074)(779, 2075)(780, 2076)(781, 2077)(782, 2078)(783, 2079)(784, 2080)(785, 2081)(786, 2082)(787, 2083)(788, 2084)(789, 2085)(790, 2086)(791, 2087)(792, 2088)(793, 2089)(794, 2090)(795, 2091)(796, 2092)(797, 2093)(798, 2094)(799, 2095)(800, 2096)(801, 2097)(802, 2098)(803, 2099)(804, 2100)(805, 2101)(806, 2102)(807, 2103)(808, 2104)(809, 2105)(810, 2106)(811, 2107)(812, 2108)(813, 2109)(814, 2110)(815, 2111)(816, 2112)(817, 2113)(818, 2114)(819, 2115)(820, 2116)(821, 2117)(822, 2118)(823, 2119)(824, 2120)(825, 2121)(826, 2122)(827, 2123)(828, 2124)(829, 2125)(830, 2126)(831, 2127)(832, 2128)(833, 2129)(834, 2130)(835, 2131)(836, 2132)(837, 2133)(838, 2134)(839, 2135)(840, 2136)(841, 2137)(842, 2138)(843, 2139)(844, 2140)(845, 2141)(846, 2142)(847, 2143)(848, 2144)(849, 2145)(850, 2146)(851, 2147)(852, 2148)(853, 2149)(854, 2150)(855, 2151)(856, 2152)(857, 2153)(858, 2154)(859, 2155)(860, 2156)(861, 2157)(862, 2158)(863, 2159)(864, 2160)(865, 2161)(866, 2162)(867, 2163)(868, 2164)(869, 2165)(870, 2166)(871, 2167)(872, 2168)(873, 2169)(874, 2170)(875, 2171)(876, 2172)(877, 2173)(878, 2174)(879, 2175)(880, 2176)(881, 2177)(882, 2178)(883, 2179)(884, 2180)(885, 2181)(886, 2182)(887, 2183)(888, 2184)(889, 2185)(890, 2186)(891, 2187)(892, 2188)(893, 2189)(894, 2190)(895, 2191)(896, 2192)(897, 2193)(898, 2194)(899, 2195)(900, 2196)(901, 2197)(902, 2198)(903, 2199)(904, 2200)(905, 2201)(906, 2202)(907, 2203)(908, 2204)(909, 2205)(910, 2206)(911, 2207)(912, 2208)(913, 2209)(914, 2210)(915, 2211)(916, 2212)(917, 2213)(918, 2214)(919, 2215)(920, 2216)(921, 2217)(922, 2218)(923, 2219)(924, 2220)(925, 2221)(926, 2222)(927, 2223)(928, 2224)(929, 2225)(930, 2226)(931, 2227)(932, 2228)(933, 2229)(934, 2230)(935, 2231)(936, 2232)(937, 2233)(938, 2234)(939, 2235)(940, 2236)(941, 2237)(942, 2238)(943, 2239)(944, 2240)(945, 2241)(946, 2242)(947, 2243)(948, 2244)(949, 2245)(950, 2246)(951, 2247)(952, 2248)(953, 2249)(954, 2250)(955, 2251)(956, 2252)(957, 2253)(958, 2254)(959, 2255)(960, 2256)(961, 2257)(962, 2258)(963, 2259)(964, 2260)(965, 2261)(966, 2262)(967, 2263)(968, 2264)(969, 2265)(970, 2266)(971, 2267)(972, 2268)(973, 2269)(974, 2270)(975, 2271)(976, 2272)(977, 2273)(978, 2274)(979, 2275)(980, 2276)(981, 2277)(982, 2278)(983, 2279)(984, 2280)(985, 2281)(986, 2282)(987, 2283)(988, 2284)(989, 2285)(990, 2286)(991, 2287)(992, 2288)(993, 2289)(994, 2290)(995, 2291)(996, 2292)(997, 2293)(998, 2294)(999, 2295)(1000, 2296)(1001, 2297)(1002, 2298)(1003, 2299)(1004, 2300)(1005, 2301)(1006, 2302)(1007, 2303)(1008, 2304)(1009, 2305)(1010, 2306)(1011, 2307)(1012, 2308)(1013, 2309)(1014, 2310)(1015, 2311)(1016, 2312)(1017, 2313)(1018, 2314)(1019, 2315)(1020, 2316)(1021, 2317)(1022, 2318)(1023, 2319)(1024, 2320)(1025, 2321)(1026, 2322)(1027, 2323)(1028, 2324)(1029, 2325)(1030, 2326)(1031, 2327)(1032, 2328)(1033, 2329)(1034, 2330)(1035, 2331)(1036, 2332)(1037, 2333)(1038, 2334)(1039, 2335)(1040, 2336)(1041, 2337)(1042, 2338)(1043, 2339)(1044, 2340)(1045, 2341)(1046, 2342)(1047, 2343)(1048, 2344)(1049, 2345)(1050, 2346)(1051, 2347)(1052, 2348)(1053, 2349)(1054, 2350)(1055, 2351)(1056, 2352)(1057, 2353)(1058, 2354)(1059, 2355)(1060, 2356)(1061, 2357)(1062, 2358)(1063, 2359)(1064, 2360)(1065, 2361)(1066, 2362)(1067, 2363)(1068, 2364)(1069, 2365)(1070, 2366)(1071, 2367)(1072, 2368)(1073, 2369)(1074, 2370)(1075, 2371)(1076, 2372)(1077, 2373)(1078, 2374)(1079, 2375)(1080, 2376)(1081, 2377)(1082, 2378)(1083, 2379)(1084, 2380)(1085, 2381)(1086, 2382)(1087, 2383)(1088, 2384)(1089, 2385)(1090, 2386)(1091, 2387)(1092, 2388)(1093, 2389)(1094, 2390)(1095, 2391)(1096, 2392)(1097, 2393)(1098, 2394)(1099, 2395)(1100, 2396)(1101, 2397)(1102, 2398)(1103, 2399)(1104, 2400)(1105, 2401)(1106, 2402)(1107, 2403)(1108, 2404)(1109, 2405)(1110, 2406)(1111, 2407)(1112, 2408)(1113, 2409)(1114, 2410)(1115, 2411)(1116, 2412)(1117, 2413)(1118, 2414)(1119, 2415)(1120, 2416)(1121, 2417)(1122, 2418)(1123, 2419)(1124, 2420)(1125, 2421)(1126, 2422)(1127, 2423)(1128, 2424)(1129, 2425)(1130, 2426)(1131, 2427)(1132, 2428)(1133, 2429)(1134, 2430)(1135, 2431)(1136, 2432)(1137, 2433)(1138, 2434)(1139, 2435)(1140, 2436)(1141, 2437)(1142, 2438)(1143, 2439)(1144, 2440)(1145, 2441)(1146, 2442)(1147, 2443)(1148, 2444)(1149, 2445)(1150, 2446)(1151, 2447)(1152, 2448)(1153, 2449)(1154, 2450)(1155, 2451)(1156, 2452)(1157, 2453)(1158, 2454)(1159, 2455)(1160, 2456)(1161, 2457)(1162, 2458)(1163, 2459)(1164, 2460)(1165, 2461)(1166, 2462)(1167, 2463)(1168, 2464)(1169, 2465)(1170, 2466)(1171, 2467)(1172, 2468)(1173, 2469)(1174, 2470)(1175, 2471)(1176, 2472)(1177, 2473)(1178, 2474)(1179, 2475)(1180, 2476)(1181, 2477)(1182, 2478)(1183, 2479)(1184, 2480)(1185, 2481)(1186, 2482)(1187, 2483)(1188, 2484)(1189, 2485)(1190, 2486)(1191, 2487)(1192, 2488)(1193, 2489)(1194, 2490)(1195, 2491)(1196, 2492)(1197, 2493)(1198, 2494)(1199, 2495)(1200, 2496)(1201, 2497)(1202, 2498)(1203, 2499)(1204, 2500)(1205, 2501)(1206, 2502)(1207, 2503)(1208, 2504)(1209, 2505)(1210, 2506)(1211, 2507)(1212, 2508)(1213, 2509)(1214, 2510)(1215, 2511)(1216, 2512)(1217, 2513)(1218, 2514)(1219, 2515)(1220, 2516)(1221, 2517)(1222, 2518)(1223, 2519)(1224, 2520)(1225, 2521)(1226, 2522)(1227, 2523)(1228, 2524)(1229, 2525)(1230, 2526)(1231, 2527)(1232, 2528)(1233, 2529)(1234, 2530)(1235, 2531)(1236, 2532)(1237, 2533)(1238, 2534)(1239, 2535)(1240, 2536)(1241, 2537)(1242, 2538)(1243, 2539)(1244, 2540)(1245, 2541)(1246, 2542)(1247, 2543)(1248, 2544)(1249, 2545)(1250, 2546)(1251, 2547)(1252, 2548)(1253, 2549)(1254, 2550)(1255, 2551)(1256, 2552)(1257, 2553)(1258, 2554)(1259, 2555)(1260, 2556)(1261, 2557)(1262, 2558)(1263, 2559)(1264, 2560)(1265, 2561)(1266, 2562)(1267, 2563)(1268, 2564)(1269, 2565)(1270, 2566)(1271, 2567)(1272, 2568)(1273, 2569)(1274, 2570)(1275, 2571)(1276, 2572)(1277, 2573)(1278, 2574)(1279, 2575)(1280, 2576)(1281, 2577)(1282, 2578)(1283, 2579)(1284, 2580)(1285, 2581)(1286, 2582)(1287, 2583)(1288, 2584)(1289, 2585)(1290, 2586)(1291, 2587)(1292, 2588)(1293, 2589)(1294, 2590)(1295, 2591)(1296, 2592)
	local type(s) :: { ( 4, 24 ), ( 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E28.3357
Graph:: simple bipartite
	v = 864 e = 1296 f = 378
	degree seq :: [ 2^648, 6^216 ]

E28.3359 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 3, 8})
Quotient :: halfedge
Aut^+ = $<1296, 2889>$ (small group id <1296, 2889>)
Aut   = $<1296, 2889>$ (small group id <1296, 2889>)
|r| :: 1
Presentation :: [ X2^2, (X2 * X1^-1)^3, X1^8, X1^8, X1 * X2 * X1^-1 * X2 * X1^2 * X2 * X1^4 * X2 * X1^-2 * X2 * X1^2 * X2 * X1^-3 * X2, X2 * X1^3 * X2 * X1^-1 * X2 * X1^2 * X2 * X1^-2 * X2 * X1 * X2 * X1^-3 * X2 * X1^3 * X2 * X1^-3, X1^-1 * X2 * X1^-3 * X2 * X1^3 * X2 * X1^2 * X2 * X1^-2 * X2 * X1^2 * X2 * X1^-2 * X2 * X1^-3 * X2 * X1^2 * X2 * X1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 11, 21, 20, 10, 4)(3, 7, 15, 27, 45, 31, 17, 8)(6, 13, 25, 41, 66, 44, 26, 14)(9, 18, 32, 52, 77, 49, 29, 16)(12, 23, 39, 62, 95, 65, 40, 24)(19, 34, 55, 85, 126, 84, 54, 33)(22, 37, 60, 91, 137, 94, 61, 38)(28, 47, 74, 111, 165, 114, 75, 48)(30, 50, 78, 117, 154, 103, 68, 42)(35, 57, 88, 131, 192, 130, 87, 56)(36, 58, 89, 133, 195, 136, 90, 59)(43, 69, 104, 155, 212, 145, 97, 63)(46, 72, 109, 161, 235, 164, 110, 73)(51, 80, 120, 177, 256, 176, 119, 79)(53, 82, 123, 181, 263, 184, 124, 83)(64, 98, 146, 213, 294, 203, 139, 92)(67, 101, 151, 219, 317, 222, 152, 102)(70, 106, 158, 229, 330, 228, 157, 105)(71, 107, 159, 231, 333, 234, 160, 108)(76, 115, 170, 247, 350, 243, 167, 112)(81, 121, 179, 259, 372, 262, 180, 122)(86, 128, 189, 273, 392, 276, 190, 129)(93, 140, 204, 295, 409, 285, 197, 134)(96, 143, 209, 301, 432, 304, 210, 144)(99, 148, 216, 311, 445, 310, 215, 147)(100, 149, 217, 313, 448, 316, 218, 150)(113, 168, 244, 351, 487, 341, 237, 162)(116, 172, 250, 359, 505, 358, 249, 171)(118, 174, 253, 363, 411, 366, 254, 175)(125, 185, 268, 384, 527, 380, 265, 182)(127, 187, 271, 388, 537, 391, 272, 188)(132, 135, 198, 286, 410, 403, 281, 194)(138, 201, 291, 416, 572, 419, 292, 202)(141, 206, 298, 426, 636, 425, 297, 205)(142, 207, 299, 428, 557, 431, 300, 208)(153, 223, 322, 460, 775, 456, 319, 220)(156, 226, 327, 466, 393, 469, 328, 227)(163, 238, 342, 488, 890, 478, 335, 232)(166, 241, 347, 424, 296, 423, 348, 242)(169, 246, 354, 499, 653, 498, 353, 245)(173, 251, 361, 508, 553, 427, 362, 252)(178, 233, 336, 479, 655, 519, 371, 258)(183, 266, 381, 528, 935, 523, 374, 260)(186, 270, 387, 535, 585, 534, 386, 269)(191, 277, 397, 543, 722, 540, 394, 274)(193, 279, 400, 547, 558, 550, 401, 280)(196, 283, 406, 643, 563, 963, 407, 284)(199, 288, 413, 810, 673, 915, 412, 287)(200, 289, 414, 761, 560, 860, 415, 290)(211, 305, 437, 834, 865, 1254, 434, 302)(214, 308, 442, 379, 264, 378, 443, 309)(221, 320, 457, 752, 1185, 797, 450, 314)(224, 324, 463, 859, 614, 1028, 462, 323)(225, 325, 464, 862, 554, 794, 465, 326)(230, 315, 451, 377, 525, 931, 474, 332)(236, 339, 484, 600, 529, 938, 485, 340)(239, 344, 489, 891, 693, 831, 436, 343)(240, 345, 490, 893, 447, 312, 430, 346)(248, 356, 502, 753, 510, 913, 503, 357)(255, 367, 513, 917, 879, 799, 511, 364)(257, 369, 516, 766, 559, 792, 517, 370)(261, 375, 453, 769, 1162, 724, 507, 360)(267, 383, 452, 849, 708, 1138, 530, 382)(275, 395, 541, 944, 867, 1253, 539, 389)(278, 399, 546, 746, 574, 973, 545, 398)(282, 404, 801, 698, 565, 965, 864, 405)(293, 420, 818, 1232, 1242, 1156, 720, 417)(303, 435, 830, 847, 1141, 709, 587, 429)(306, 439, 836, 1065, 639, 1064, 1266, 438)(307, 440, 838, 957, 555, 544, 948, 441)(318, 454, 851, 497, 352, 496, 798, 455)(321, 459, 376, 524, 744, 1177, 785, 458)(329, 470, 868, 1207, 786, 711, 924, 467)(331, 472, 871, 856, 564, 705, 1137, 473)(334, 476, 876, 695, 569, 829, 1238, 477)(337, 481, 796, 1188, 759, 542, 396, 480)(338, 482, 881, 675, 568, 536, 390, 483)(349, 493, 896, 1269, 1221, 805, 757, 491)(355, 500, 902, 937, 556, 809, 1223, 501)(365, 512, 914, 1148, 1239, 837, 641, 509)(368, 515, 919, 903, 593, 1000, 1224, 514)(373, 521, 926, 627, 595, 1004, 726, 522)(385, 532, 772, 422, 783, 1187, 1296, 533)(402, 551, 955, 1202, 776, 1096, 666, 548)(408, 806, 986, 1268, 895, 1152, 717, 803)(418, 816, 940, 1234, 1080, 654, 604, 812)(421, 820, 1230, 1038, 676, 1107, 930, 739)(433, 828, 967, 567, 461, 857, 710, 751)(444, 844, 1101, 1125, 694, 659, 1084, 840)(446, 656, 1081, 972, 573, 650, 1075, 1293)(449, 719, 1082, 657, 577, 979, 884, 1201)(468, 866, 976, 1088, 923, 1112, 678, 863)(471, 870, 1203, 778, 610, 1020, 947, 598)(475, 875, 1089, 663, 579, 980, 1055, 633)(486, 887, 1026, 1288, 1295, 1165, 878, 883)(492, 822, 959, 1153, 1179, 745, 616, 894)(494, 898, 1267, 1042, 623, 1041, 824, 629)(495, 721, 1157, 960, 561, 742, 1171, 731)(504, 909, 802, 1217, 854, 773, 552, 905)(506, 634, 1056, 787, 578, 740, 1176, 1277)(518, 922, 982, 1145, 713, 1134, 701, 920)(520, 925, 1063, 638, 581, 950, 549, 756)(526, 932, 1039, 1258, 1167, 727, 929, 842)(531, 774, 1200, 962, 562, 729, 1169, 1261)(538, 943, 1049, 628, 625, 1047, 677, 1108)(566, 833, 1226, 813, 855, 712, 1144, 966)(570, 691, 1117, 682, 936, 672, 1102, 968)(571, 680, 1114, 1278, 946, 821, 1233, 970)(575, 974, 945, 1216, 1085, 660, 910, 977)(576, 632, 1054, 658, 846, 758, 1155, 978)(580, 767, 1196, 1245, 1129, 733, 845, 983)(582, 782, 835, 646, 1057, 635, 861, 984)(583, 644, 1071, 1262, 1150, 736, 1175, 987)(584, 620, 1037, 1235, 823, 687, 1122, 989)(586, 990, 784, 951, 1033, 617, 755, 991)(588, 670, 1032, 615, 1029, 853, 1151, 992)(589, 993, 1248, 1236, 825, 716, 1077, 688)(590, 994, 921, 671, 668, 1097, 1040, 622)(591, 858, 1251, 1190, 1180, 815, 1228, 997)(592, 607, 1014, 1154, 718, 626, 1048, 999)(594, 939, 1250, 1184, 1119, 684, 750, 1003)(596, 850, 1012, 603, 1011, 692, 789, 1005)(597, 696, 1126, 1164, 1204, 899, 1229, 1008)(599, 1009, 1019, 609, 630, 1050, 1149, 715)(601, 1010, 804, 927, 770, 1197, 1027, 613)(602, 892, 743, 697, 1021, 611, 768, 918)(605, 667, 1069, 640, 1066, 952, 1095, 1013)(606, 934, 1276, 1237, 1091, 664, 1090, 737)(608, 1015, 897, 1131, 1241, 975, 916, 1018)(612, 647, 1072, 885, 1257, 958, 1275, 1024)(618, 1034, 843, 1244, 1205, 779, 1017, 771)(619, 788, 1208, 1109, 1271, 961, 832, 1036)(621, 730, 707, 645, 811, 652, 681, 795)(624, 1043, 1195, 1133, 1073, 648, 702, 1046)(631, 1051, 777, 1181, 1279, 953, 1255, 1006)(637, 683, 1118, 1213, 900, 964, 1186, 1060)(642, 1070, 763, 1189, 911, 872, 1053, 689)(649, 1074, 1225, 1290, 1105, 699, 1087, 901)(651, 1052, 735, 1093, 1222, 1001, 793, 995)(661, 1086, 749, 1183, 873, 904, 996, 942)(662, 949, 1265, 1067, 1256, 969, 741, 1076)(665, 1092, 1246, 1193, 1135, 703, 765, 1058)(669, 1098, 869, 1243, 1209, 790, 933, 1022)(674, 732, 1172, 1142, 1284, 971, 882, 1104)(679, 1113, 700, 1130, 1252, 1111, 1100, 738)(685, 1120, 908, 1272, 1160, 747, 1035, 1121)(686, 1099, 819, 1044, 956, 981, 706, 1016)(690, 1123, 714, 1146, 1282, 1030, 1286, 985)(704, 889, 1170, 1240, 1061, 762, 1147, 1136)(723, 814, 1227, 1083, 1270, 988, 781, 1159)(725, 1163, 760, 827, 808, 1198, 941, 998)(728, 1168, 748, 1124, 1280, 1166, 1094, 826)(734, 1173, 780, 1206, 877, 839, 1007, 1174)(754, 1103, 1273, 954, 1182, 912, 1249, 1078)(764, 1192, 907, 1215, 1002, 1128, 800, 1194)(791, 1210, 1116, 1291, 1025, 848, 1158, 880)(807, 1218, 841, 1178, 1287, 1220, 1045, 1115)(817, 1191, 874, 1259, 1211, 1199, 1023, 1231)(852, 1031, 1062, 1289, 1264, 886, 1212, 1247)(888, 1139, 906, 1059, 1281, 1219, 1132, 1127)(928, 1143, 1079, 1285, 1263, 1110, 1161, 1274)(1068, 1106, 1260, 1294, 1214, 1140, 1283, 1292)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 13)(10, 19)(11, 22)(14, 23)(15, 28)(17, 30)(18, 33)(20, 35)(21, 36)(24, 37)(25, 42)(26, 43)(27, 46)(29, 47)(31, 51)(32, 53)(34, 56)(38, 58)(39, 63)(40, 64)(41, 67)(44, 70)(45, 71)(48, 72)(49, 76)(50, 79)(52, 81)(54, 82)(55, 86)(57, 59)(60, 92)(61, 93)(62, 96)(65, 99)(66, 100)(68, 101)(69, 105)(73, 107)(74, 112)(75, 113)(77, 116)(78, 118)(80, 108)(83, 121)(84, 125)(85, 127)(87, 128)(88, 132)(89, 134)(90, 135)(91, 138)(94, 141)(95, 142)(97, 143)(98, 147)(102, 149)(103, 153)(104, 156)(106, 150)(109, 162)(110, 163)(111, 166)(114, 169)(115, 171)(117, 173)(119, 174)(120, 178)(122, 172)(123, 182)(124, 183)(126, 186)(129, 187)(130, 191)(131, 193)(133, 196)(136, 199)(137, 200)(139, 201)(140, 205)(144, 207)(145, 211)(146, 214)(148, 208)(151, 220)(152, 221)(154, 224)(155, 225)(157, 226)(158, 230)(159, 232)(160, 233)(161, 236)(164, 239)(165, 240)(167, 241)(168, 245)(170, 248)(175, 251)(176, 255)(177, 257)(179, 260)(180, 261)(181, 264)(184, 267)(185, 269)(188, 270)(189, 274)(190, 275)(192, 278)(194, 279)(195, 282)(197, 283)(198, 287)(202, 289)(203, 293)(204, 296)(206, 290)(209, 302)(210, 303)(212, 306)(213, 307)(215, 308)(216, 312)(217, 314)(218, 315)(219, 318)(222, 321)(223, 323)(227, 325)(228, 329)(229, 331)(231, 334)(234, 337)(235, 338)(237, 339)(238, 343)(242, 345)(243, 349)(244, 352)(246, 346)(247, 355)(249, 356)(250, 360)(252, 324)(253, 364)(254, 365)(256, 368)(258, 369)(259, 373)(262, 376)(263, 377)(265, 378)(266, 382)(268, 385)(271, 389)(272, 390)(273, 393)(276, 396)(277, 398)(280, 399)(281, 402)(284, 404)(285, 408)(286, 411)(288, 405)(291, 417)(292, 418)(294, 421)(295, 422)(297, 423)(298, 427)(299, 429)(300, 430)(301, 433)(304, 436)(305, 438)(309, 440)(310, 444)(311, 446)(313, 449)(316, 452)(317, 453)(319, 454)(320, 458)(322, 461)(326, 439)(327, 467)(328, 468)(330, 471)(332, 472)(333, 475)(335, 476)(336, 480)(340, 482)(341, 486)(342, 432)(344, 483)(347, 491)(348, 492)(350, 494)(351, 495)(353, 496)(354, 431)(357, 500)(358, 504)(359, 506)(361, 509)(362, 415)(363, 510)(366, 412)(367, 514)(370, 515)(371, 518)(372, 520)(374, 521)(375, 459)(379, 525)(380, 526)(381, 529)(383, 451)(384, 531)(386, 532)(387, 536)(388, 538)(391, 489)(392, 479)(394, 469)(395, 542)(397, 544)(400, 548)(401, 549)(403, 552)(406, 803)(407, 804)(409, 808)(410, 753)(413, 794)(414, 812)(416, 758)(419, 785)(420, 739)(424, 783)(425, 822)(426, 823)(428, 825)(434, 828)(435, 831)(437, 632)(441, 820)(442, 840)(443, 842)(445, 740)(447, 656)(448, 668)(450, 719)(455, 769)(456, 852)(457, 572)(460, 855)(462, 857)(463, 860)(464, 863)(465, 864)(466, 655)(470, 598)(473, 870)(474, 873)(477, 875)(478, 877)(481, 633)(484, 883)(485, 885)(487, 889)(488, 751)(490, 894)(493, 629)(497, 721)(498, 900)(499, 718)(501, 898)(502, 905)(503, 907)(505, 630)(507, 634)(508, 911)(511, 913)(512, 915)(513, 742)(516, 920)(517, 921)(519, 924)(522, 925)(523, 928)(524, 756)(527, 934)(528, 936)(530, 938)(533, 774)(534, 941)(535, 778)(537, 770)(539, 943)(540, 866)(541, 595)(543, 946)(545, 948)(546, 950)(547, 952)(550, 744)(551, 773)(553, 687)(554, 736)(555, 821)(556, 899)(557, 626)(558, 940)(559, 958)(560, 599)(561, 733)(562, 961)(563, 830)(564, 964)(565, 579)(566, 815)(567, 712)(568, 610)(569, 959)(570, 684)(571, 969)(573, 971)(574, 590)(575, 975)(576, 660)(577, 914)(578, 844)(580, 981)(581, 593)(582, 648)(583, 985)(584, 988)(585, 607)(586, 953)(587, 716)(588, 617)(589, 976)(591, 995)(592, 998)(594, 1001)(596, 605)(597, 1006)(600, 672)(601, 623)(602, 703)(603, 790)(604, 664)(606, 932)(608, 1016)(609, 909)(611, 628)(612, 1022)(613, 1025)(614, 650)(615, 1030)(616, 779)(618, 1002)(619, 1018)(620, 639)(621, 738)(622, 1038)(624, 1044)(625, 955)(627, 635)(631, 1052)(636, 829)(637, 1058)(638, 1061)(640, 1067)(641, 872)(642, 982)(643, 853)(644, 676)(645, 826)(646, 912)(647, 699)(649, 1031)(651, 1076)(652, 689)(653, 705)(654, 1078)(657, 692)(658, 1083)(659, 904)(661, 1045)(662, 997)(663, 1065)(665, 1093)(666, 1095)(667, 986)(669, 1099)(670, 818)(671, 849)(673, 979)(674, 1046)(675, 1105)(677, 1109)(678, 1111)(679, 996)(680, 725)(681, 1115)(682, 1116)(683, 747)(685, 1068)(686, 1036)(688, 743)(690, 1015)(691, 896)(693, 963)(694, 1113)(695, 784)(696, 762)(697, 1127)(698, 1042)(700, 1131)(701, 1133)(702, 1007)(704, 887)(706, 1123)(707, 771)(708, 792)(709, 1139)(710, 1142)(711, 922)(713, 1094)(714, 983)(715, 859)(717, 1151)(720, 1155)(722, 993)(723, 1003)(724, 1160)(726, 1164)(727, 1166)(728, 1017)(729, 802)(730, 1128)(731, 1170)(732, 839)(734, 1110)(735, 1008)(737, 835)(741, 1051)(745, 1168)(746, 903)(748, 1181)(749, 1184)(750, 1023)(752, 846)(754, 949)(755, 1026)(757, 1187)(759, 1004)(760, 1069)(761, 1091)(763, 1190)(764, 1193)(765, 1035)(766, 1195)(767, 882)(768, 1106)(772, 1198)(775, 1074)(776, 1132)(777, 970)(780, 951)(781, 858)(782, 1039)(786, 1070)(787, 945)(788, 848)(789, 874)(791, 1143)(793, 1159)(795, 942)(796, 809)(797, 1211)(798, 1213)(799, 1215)(800, 1100)(801, 1010)(805, 1220)(806, 827)(807, 1053)(810, 1150)(811, 1145)(813, 1225)(814, 1199)(816, 1177)(817, 1165)(819, 1024)(824, 1117)(832, 1098)(833, 868)(834, 1085)(836, 965)(837, 1218)(838, 929)(841, 1243)(843, 1245)(845, 1059)(847, 1029)(850, 1062)(851, 1247)(854, 1047)(856, 1250)(861, 1161)(862, 1252)(865, 1120)(867, 1182)(869, 962)(871, 1183)(876, 1206)(878, 1102)(879, 1034)(880, 977)(881, 1072)(884, 1262)(886, 1219)(888, 1077)(890, 1172)(891, 927)(892, 1088)(893, 1205)(895, 1191)(897, 987)(901, 1012)(902, 1192)(906, 1146)(908, 1216)(910, 1079)(916, 1158)(917, 1129)(918, 1121)(919, 994)(923, 1135)(926, 1274)(930, 1032)(931, 1084)(933, 1087)(935, 1210)(937, 1246)(939, 1186)(944, 1057)(947, 1226)(954, 1214)(956, 1104)(957, 1280)(960, 1281)(966, 1273)(967, 1283)(968, 1231)(972, 1196)(973, 1230)(974, 1101)(978, 1285)(980, 1267)(984, 1174)(989, 1251)(990, 1153)(991, 1136)(992, 1288)(999, 1114)(1000, 1240)(1005, 1268)(1009, 1237)(1011, 1148)(1013, 1289)(1014, 1203)(1019, 1169)(1020, 1290)(1021, 1202)(1027, 1208)(1028, 1284)(1033, 1232)(1037, 1089)(1040, 1071)(1041, 1291)(1043, 1275)(1048, 1236)(1049, 1260)(1050, 1277)(1054, 1266)(1055, 1223)(1056, 1272)(1060, 1222)(1063, 1126)(1064, 1270)(1066, 1234)(1073, 1258)(1075, 1149)(1080, 1265)(1081, 1244)(1082, 1259)(1086, 1221)(1090, 1249)(1092, 1229)(1096, 1264)(1097, 1201)(1103, 1228)(1107, 1286)(1108, 1197)(1112, 1194)(1118, 1162)(1119, 1269)(1122, 1189)(1124, 1233)(1125, 1241)(1130, 1175)(1134, 1167)(1137, 1154)(1138, 1257)(1140, 1144)(1141, 1282)(1147, 1255)(1152, 1295)(1156, 1263)(1157, 1212)(1163, 1256)(1171, 1224)(1173, 1242)(1176, 1293)(1178, 1200)(1179, 1279)(1180, 1207)(1185, 1227)(1188, 1204)(1209, 1239)(1217, 1271)(1235, 1238)(1248, 1278)(1253, 1294)(1254, 1292)(1261, 1276)(1287, 1296)
	local type(s) :: { ( 3^8 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 162 e = 648 f = 432
	degree seq :: [ 8^162 ]

E28.3360 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 3, 8})
Quotient :: halfedge
Aut^+ = $<1296, 2889>$ (small group id <1296, 2889>)
Aut   = $<1296, 2889>$ (small group id <1296, 2889>)
|r| :: 1
Presentation :: [ X2^2, X1^3, (X2 * X1^-1)^8, (X2 * X1^-1)^8, X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1 * X2 * X1 * X2 * X1^-1 * X2 * X1^-1 * X2 * X1 * X2 * X1 * X2 * X1^-1 * X2 * X1^-1, X2 * X1^-1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1 * X2 * X1 * X2 * X1^-1 * X2 * X1^-1 * X2 * X1 * X2 * X1 * X2 * X1^-1, (X2 * X1 * X2 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2 * X1^-1)^3, (X2 * X1 * X2 * X1 * X2 * X1^-1)^6 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 4)(3, 6, 7)(5, 9, 10)(8, 13, 14)(11, 17, 18)(12, 19, 20)(15, 23, 24)(16, 25, 26)(21, 31, 32)(22, 33, 34)(27, 39, 40)(28, 41, 42)(29, 43, 44)(30, 45, 46)(35, 51, 52)(36, 53, 54)(37, 55, 56)(38, 57, 58)(47, 67, 68)(48, 69, 70)(49, 71, 72)(50, 73, 74)(59, 83, 84)(60, 85, 86)(61, 87, 88)(62, 89, 90)(63, 91, 92)(64, 93, 94)(65, 95, 96)(66, 97, 75)(76, 105, 106)(77, 107, 108)(78, 109, 110)(79, 111, 112)(80, 113, 114)(81, 115, 116)(82, 117, 98)(99, 132, 133)(100, 134, 135)(101, 136, 137)(102, 138, 139)(103, 140, 141)(104, 142, 143)(118, 157, 158)(119, 159, 160)(120, 161, 162)(121, 163, 164)(122, 165, 166)(123, 167, 168)(124, 169, 125)(126, 170, 171)(127, 172, 173)(128, 174, 175)(129, 176, 177)(130, 178, 179)(131, 180, 181)(144, 194, 195)(145, 196, 197)(146, 198, 199)(147, 200, 201)(148, 202, 203)(149, 204, 150)(151, 205, 206)(152, 207, 208)(153, 209, 210)(154, 211, 212)(155, 213, 214)(156, 215, 216)(182, 242, 243)(183, 244, 245)(184, 246, 247)(185, 248, 249)(186, 250, 251)(187, 252, 188)(189, 253, 254)(190, 255, 256)(191, 257, 258)(192, 259, 260)(193, 261, 262)(217, 439, 850)(218, 441, 308)(219, 442, 972)(220, 443, 975)(221, 445, 519)(222, 446, 223)(224, 449, 848)(225, 451, 770)(226, 452, 440)(227, 454, 991)(228, 456, 469)(229, 458, 346)(230, 460, 873)(231, 462, 277)(232, 464, 752)(233, 466, 1013)(234, 468, 526)(235, 470, 236)(237, 473, 869)(238, 475, 585)(239, 476, 461)(240, 478, 917)(241, 480, 319)(263, 514, 516)(264, 517, 518)(265, 484, 521)(266, 379, 524)(267, 525, 527)(268, 406, 530)(269, 531, 533)(270, 339, 536)(271, 537, 540)(272, 541, 543)(273, 360, 546)(274, 547, 550)(275, 551, 553)(276, 554, 555)(278, 558, 561)(279, 562, 565)(280, 566, 336)(281, 567, 568)(282, 388, 571)(283, 510, 574)(284, 575, 578)(285, 579, 582)(286, 583, 584)(287, 425, 587)(288, 392, 590)(289, 591, 594)(290, 595, 598)(291, 599, 357)(292, 600, 602)(293, 603, 606)(294, 607, 608)(295, 503, 611)(296, 433, 614)(297, 615, 618)(298, 619, 622)(299, 623, 376)(300, 624, 626)(301, 627, 630)(302, 631, 632)(303, 633, 635)(304, 364, 638)(305, 639, 642)(306, 643, 646)(307, 647, 650)(309, 652, 655)(310, 656, 659)(311, 660, 347)(312, 661, 663)(313, 664, 667)(314, 668, 669)(315, 327, 672)(316, 673, 676)(317, 677, 680)(318, 681, 684)(320, 686, 689)(321, 690, 693)(322, 420, 459)(323, 694, 696)(324, 697, 699)(325, 700, 701)(326, 683, 703)(328, 704, 706)(329, 707, 710)(330, 498, 711)(331, 712, 714)(332, 343, 717)(333, 718, 721)(334, 722, 725)(335, 726, 729)(337, 731, 734)(338, 735, 737)(340, 739, 740)(341, 741, 743)(342, 728, 745)(344, 746, 749)(345, 750, 753)(348, 756, 759)(349, 760, 762)(350, 763, 764)(351, 765, 768)(352, 769, 772)(353, 383, 775)(354, 776, 779)(355, 780, 782)(356, 783, 786)(358, 789, 792)(359, 793, 795)(361, 797, 798)(362, 799, 801)(363, 649, 803)(365, 804, 806)(366, 807, 810)(367, 811, 813)(368, 814, 815)(369, 816, 817)(370, 818, 821)(371, 822, 825)(372, 414, 828)(373, 829, 831)(374, 832, 834)(375, 835, 838)(377, 841, 844)(378, 845, 847)(380, 486, 408)(381, 849, 852)(382, 785, 855)(384, 856, 859)(385, 860, 861)(386, 862, 865)(387, 751, 868)(389, 871, 512)(390, 872, 875)(391, 613, 877)(393, 427, 879)(394, 880, 883)(395, 884, 886)(396, 887, 874)(397, 889, 890)(398, 891, 893)(399, 894, 897)(400, 492, 778)(401, 899, 901)(402, 902, 904)(403, 905, 907)(404, 457, 908)(405, 774, 911)(407, 913, 522)(409, 914, 411)(410, 916, 919)(412, 837, 923)(413, 888, 912)(415, 924, 823)(416, 926, 929)(417, 930, 479)(418, 733, 933)(419, 934, 935)(421, 936, 937)(422, 938, 941)(423, 564, 809)(424, 808, 767)(426, 947, 532)(428, 949, 430)(429, 951, 952)(431, 573, 955)(432, 956, 945)(434, 958, 609)(435, 505, 960)(436, 961, 784)(437, 748, 963)(438, 964, 967)(444, 942, 977)(447, 980, 932)(448, 910, 982)(450, 542, 504)(453, 920, 990)(455, 993, 995)(463, 1008, 1010)(465, 1012, 800)(467, 1016, 925)(471, 1020, 1022)(472, 1023, 1026)(474, 601, 720)(477, 1030, 1032)(481, 1037, 507)(482, 515, 1039)(483, 827, 1041)(485, 1043, 528)(487, 1044, 489)(488, 1045, 1047)(490, 906, 1049)(491, 761, 1042)(493, 1002, 895)(494, 1051, 1053)(495, 1054, 757)(496, 791, 1056)(497, 1057, 1058)(499, 983, 997)(500, 1059, 1061)(501, 581, 709)(502, 708, 820)(506, 1066, 1067)(508, 589, 1069)(509, 1070, 1064)(511, 1072, 569)(513, 1074, 836)(520, 1081, 1003)(523, 1084, 1085)(529, 1091, 1093)(534, 970, 1099)(535, 1100, 1102)(538, 1006, 1106)(539, 1107, 939)(544, 1035, 1113)(545, 1114, 1115)(548, 1103, 1119)(549, 1120, 992)(552, 987, 1125)(556, 1129, 1011)(557, 1130, 1132)(559, 1116, 1134)(560, 1135, 863)(563, 1087, 1139)(570, 1142, 1143)(572, 1086, 1147)(576, 1144, 1152)(577, 1153, 790)(580, 1095, 1157)(586, 1159, 1160)(588, 1094, 1154)(592, 1151, 1167)(593, 1169, 695)(596, 1104, 1174)(597, 882, 867)(604, 1110, 1178)(605, 666, 629)(610, 1128, 1181)(612, 1083, 1170)(616, 1166, 1186)(617, 1187, 732)(620, 1117, 1190)(621, 966, 944)(625, 641, 957)(628, 1123, 1193)(634, 1180, 1197)(636, 1109, 1136)(637, 1199, 1033)(640, 1133, 1202)(644, 996, 1112)(645, 1111, 1207)(648, 1078, 1204)(651, 1212, 973)(653, 1161, 1214)(654, 1215, 842)(657, 1007, 1220)(658, 843, 1063)(662, 675, 1071)(665, 981, 1028)(670, 1122, 1108)(671, 1225, 1227)(674, 1105, 1228)(678, 1075, 1090)(679, 1089, 959)(682, 1080, 1229)(685, 1235, 998)(687, 1182, 1237)(688, 986, 881)(691, 1145, 1240)(692, 1241, 965)(698, 1150, 1244)(702, 1245, 1246)(705, 758, 918)(713, 1168, 1050)(715, 1137, 1121)(716, 1252, 968)(719, 1118, 1254)(723, 1079, 1098)(724, 1097, 1073)(727, 1018, 1255)(730, 1201, 1076)(736, 1165, 1259)(738, 1088, 1127)(742, 878, 1009)(744, 1260, 1261)(747, 812, 1046)(754, 1149, 1092)(755, 1219, 1249)(766, 1208, 1194)(771, 1203, 1052)(773, 1155, 1148)(777, 1146, 1267)(781, 1126, 1269)(787, 1164, 1082)(788, 1173, 1195)(794, 1185, 1248)(796, 1096, 1141)(802, 1271, 1272)(805, 885, 851)(819, 969, 1224)(824, 1000, 858)(826, 1171, 1163)(830, 1162, 1265)(833, 1140, 1276)(839, 1184, 1025)(840, 1024, 1014)(846, 931, 1048)(853, 1273, 1230)(854, 864, 1226)(857, 950, 1131)(866, 1211, 1223)(870, 1124, 1176)(876, 971, 953)(892, 1034, 1179)(896, 1001, 928)(898, 1188, 1019)(900, 1183, 1275)(903, 1158, 1021)(909, 1017, 1284)(915, 1232, 1055)(921, 1282, 1256)(922, 940, 1253)(927, 1038, 1101)(943, 1206, 1177)(946, 1138, 1192)(948, 1270, 1288)(954, 1036, 1068)(962, 1005, 1280)(974, 999, 1077)(976, 1263, 1205)(978, 1062, 1231)(979, 1285, 1191)(984, 1060, 1200)(985, 1292, 1004)(988, 1221, 1277)(989, 1198, 1251)(994, 1175, 1283)(1015, 1189, 1217)(1027, 1216, 1210)(1029, 1279, 1287)(1031, 1209, 1291)(1040, 1266, 1290)(1065, 1156, 1222)(1172, 1243, 1196)(1213, 1233, 1278)(1218, 1239, 1250)(1234, 1264, 1238)(1236, 1257, 1286)(1242, 1258, 1274)(1247, 1289, 1296)(1262, 1294, 1295)(1268, 1281, 1293)
	L = (1, 3)(2, 5)(4, 8)(6, 11)(7, 12)(9, 15)(10, 16)(13, 21)(14, 22)(17, 27)(18, 28)(19, 29)(20, 30)(23, 35)(24, 36)(25, 37)(26, 38)(31, 47)(32, 48)(33, 49)(34, 50)(39, 59)(40, 60)(41, 61)(42, 62)(43, 63)(44, 64)(45, 65)(46, 66)(51, 75)(52, 76)(53, 77)(54, 78)(55, 79)(56, 80)(57, 81)(58, 82)(67, 98)(68, 99)(69, 100)(70, 101)(71, 102)(72, 103)(73, 104)(74, 83)(84, 118)(85, 119)(86, 120)(87, 121)(88, 122)(89, 123)(90, 124)(91, 125)(92, 126)(93, 127)(94, 128)(95, 129)(96, 130)(97, 131)(105, 144)(106, 145)(107, 146)(108, 147)(109, 148)(110, 149)(111, 150)(112, 151)(113, 152)(114, 153)(115, 154)(116, 155)(117, 156)(132, 182)(133, 183)(134, 184)(135, 185)(136, 186)(137, 187)(138, 188)(139, 189)(140, 190)(141, 191)(142, 192)(143, 193)(157, 217)(158, 218)(159, 219)(160, 220)(161, 221)(162, 222)(163, 223)(164, 224)(165, 225)(166, 226)(167, 227)(168, 228)(169, 229)(170, 230)(171, 231)(172, 232)(173, 233)(174, 234)(175, 235)(176, 236)(177, 237)(178, 238)(179, 239)(180, 240)(181, 241)(194, 404)(195, 341)(196, 407)(197, 409)(198, 411)(199, 413)(200, 415)(201, 417)(202, 418)(203, 263)(204, 420)(205, 421)(206, 339)(207, 423)(208, 331)(209, 426)(210, 428)(211, 430)(212, 432)(213, 434)(214, 436)(215, 437)(216, 280)(242, 482)(243, 362)(244, 485)(245, 487)(246, 489)(247, 491)(248, 493)(249, 495)(250, 496)(251, 264)(252, 498)(253, 499)(254, 360)(255, 501)(256, 303)(257, 504)(258, 481)(259, 507)(260, 509)(261, 511)(262, 513)(265, 519)(266, 522)(267, 526)(268, 528)(269, 532)(270, 534)(271, 538)(272, 542)(273, 544)(274, 548)(275, 552)(276, 414)(277, 556)(278, 559)(279, 563)(281, 492)(282, 569)(283, 572)(284, 576)(285, 580)(286, 383)(287, 585)(288, 588)(289, 592)(290, 596)(291, 346)(292, 601)(293, 604)(294, 343)(295, 609)(296, 612)(297, 616)(298, 620)(299, 322)(300, 625)(301, 628)(302, 364)(304, 636)(305, 640)(306, 644)(307, 648)(308, 651)(309, 653)(310, 657)(311, 330)(312, 662)(313, 665)(314, 327)(315, 670)(316, 674)(317, 678)(318, 682)(319, 685)(320, 687)(321, 691)(323, 695)(324, 698)(325, 392)(326, 702)(328, 705)(329, 708)(332, 715)(333, 719)(334, 723)(335, 727)(336, 730)(337, 732)(338, 736)(340, 433)(342, 744)(344, 747)(345, 751)(347, 754)(348, 757)(349, 761)(350, 679)(351, 766)(352, 770)(353, 773)(354, 777)(355, 738)(356, 784)(357, 787)(358, 790)(359, 794)(361, 510)(363, 802)(365, 805)(366, 808)(367, 440)(368, 449)(369, 724)(370, 819)(371, 823)(372, 826)(373, 830)(374, 796)(375, 836)(376, 839)(377, 842)(378, 846)(379, 848)(380, 647)(381, 850)(382, 853)(384, 857)(385, 793)(386, 863)(387, 866)(388, 869)(389, 547)(390, 873)(391, 876)(393, 878)(394, 881)(395, 479)(396, 888)(397, 645)(398, 892)(399, 895)(400, 898)(401, 900)(402, 463)(403, 461)(405, 910)(406, 912)(408, 681)(410, 917)(412, 921)(416, 927)(419, 697)(422, 939)(424, 943)(425, 945)(427, 558)(429, 937)(431, 954)(435, 465)(438, 965)(439, 838)(441, 970)(442, 973)(443, 967)(444, 781)(445, 658)(446, 623)(447, 952)(448, 964)(450, 984)(451, 867)(452, 987)(453, 989)(454, 813)(455, 870)(456, 996)(457, 998)(458, 1000)(459, 1001)(460, 1003)(462, 1006)(464, 1011)(466, 1014)(467, 610)(468, 854)(469, 1018)(470, 668)(471, 1021)(472, 1024)(473, 941)(474, 1027)(475, 629)(476, 828)(477, 1031)(478, 907)(480, 1035)(483, 990)(484, 1042)(486, 726)(488, 963)(490, 976)(494, 1022)(497, 735)(500, 992)(502, 1062)(503, 1064)(505, 537)(506, 997)(508, 1023)(512, 942)(514, 1075)(515, 1076)(516, 1078)(517, 1079)(518, 1080)(520, 1082)(521, 1083)(523, 1025)(524, 1086)(525, 1088)(527, 1089)(529, 1092)(530, 1094)(531, 1096)(533, 1097)(535, 896)(536, 1103)(539, 1108)(540, 1109)(541, 1008)(543, 1111)(545, 771)(546, 1116)(549, 1121)(550, 1122)(551, 1124)(553, 1126)(554, 884)(555, 1128)(557, 824)(560, 1136)(561, 1137)(562, 1138)(564, 1099)(565, 1140)(566, 1129)(567, 756)(568, 1142)(570, 713)(571, 1144)(573, 1148)(574, 1149)(575, 804)(577, 1154)(578, 1155)(579, 1156)(581, 1113)(582, 1158)(583, 811)(584, 1159)(586, 634)(587, 1151)(589, 1163)(590, 1164)(591, 704)(593, 1170)(594, 1171)(595, 1172)(597, 913)(598, 1175)(599, 1044)(600, 673)(602, 1114)(603, 1177)(605, 1072)(606, 1179)(607, 949)(608, 1180)(611, 1166)(613, 1019)(614, 1184)(615, 746)(617, 1147)(618, 1188)(619, 1189)(621, 1043)(622, 1191)(624, 718)(626, 1130)(627, 978)(630, 1194)(631, 1037)(632, 1016)(633, 1195)(635, 1133)(637, 1200)(638, 1201)(639, 661)(641, 1204)(642, 1060)(643, 919)(646, 1161)(649, 1210)(650, 928)(652, 856)(654, 1119)(655, 1216)(656, 1218)(659, 1221)(660, 914)(663, 1100)(664, 1223)(666, 958)(667, 1224)(669, 1168)(671, 1226)(672, 1212)(675, 1229)(676, 864)(677, 1047)(680, 1182)(683, 1234)(684, 1052)(686, 926)(688, 1134)(689, 1238)(690, 1051)(692, 1106)(693, 1242)(694, 776)(696, 1045)(699, 1237)(700, 905)(701, 889)(703, 1247)(706, 1084)(707, 1248)(709, 1112)(710, 951)(711, 1203)(712, 1249)(714, 1118)(716, 1253)(717, 1235)(720, 1255)(721, 940)(722, 852)(725, 1145)(728, 1258)(729, 858)(731, 829)(733, 886)(734, 849)(737, 1240)(739, 783)(740, 763)(741, 844)(742, 833)(743, 780)(745, 1262)(748, 786)(749, 1091)(750, 1244)(752, 1090)(753, 1066)(755, 1056)(758, 959)(759, 791)(760, 1132)(762, 1208)(764, 1050)(765, 1263)(767, 1152)(768, 1250)(769, 1227)(772, 1146)(774, 1266)(775, 1074)(778, 961)(779, 1040)(782, 1117)(785, 979)(788, 991)(789, 899)(792, 916)(795, 1214)(797, 835)(798, 816)(799, 883)(800, 903)(801, 832)(803, 1268)(806, 1081)(807, 1259)(809, 1098)(810, 872)(812, 1073)(814, 1102)(815, 969)(817, 1197)(818, 1273)(820, 1167)(821, 1196)(822, 968)(825, 1162)(827, 985)(831, 1004)(834, 1007)(837, 1277)(840, 933)(841, 920)(843, 1010)(845, 1017)(847, 1190)(851, 994)(855, 1279)(859, 1107)(860, 1193)(861, 1280)(862, 1030)(865, 1070)(868, 1186)(871, 908)(874, 1034)(875, 993)(877, 1256)(879, 1039)(880, 1048)(882, 1127)(885, 1207)(887, 1115)(890, 925)(891, 1282)(893, 1015)(894, 1033)(897, 1183)(901, 909)(902, 975)(904, 1104)(906, 1283)(911, 1220)(915, 1067)(918, 1285)(922, 947)(923, 1287)(924, 944)(929, 1120)(930, 1087)(931, 1251)(932, 946)(934, 1028)(935, 1288)(936, 1085)(938, 1005)(948, 1236)(950, 1269)(953, 1219)(955, 1205)(956, 1061)(957, 1264)(960, 972)(962, 1213)(966, 1141)(971, 1233)(974, 1281)(977, 1160)(980, 1260)(981, 1202)(982, 1198)(983, 1093)(986, 1222)(988, 1046)(995, 1245)(999, 1289)(1002, 1063)(1009, 1181)(1012, 1143)(1013, 1105)(1020, 1293)(1026, 1209)(1029, 1049)(1032, 1058)(1036, 1257)(1038, 1276)(1041, 1174)(1053, 1135)(1054, 1095)(1055, 1065)(1057, 1178)(1059, 1270)(1068, 1173)(1069, 1230)(1071, 1274)(1077, 1294)(1101, 1295)(1110, 1228)(1123, 1254)(1125, 1290)(1131, 1296)(1139, 1292)(1150, 1267)(1153, 1217)(1157, 1284)(1165, 1265)(1169, 1239)(1176, 1241)(1185, 1275)(1187, 1243)(1192, 1215)(1199, 1261)(1206, 1278)(1211, 1291)(1225, 1272)(1231, 1286)(1232, 1271)(1246, 1252)
	local type(s) :: { ( 8^3 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 432 e = 648 f = 162
	degree seq :: [ 3^432 ]

E28.3361 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 3, 8})
Quotient :: edge
Aut^+ = $<1296, 2889>$ (small group id <1296, 2889>)
Aut   = $<1296, 2889>$ (small group id <1296, 2889>)
|r| :: 1
Presentation :: [ X1^2, X2^3, (X1 * X2^-1)^8, X1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1 * X2 * X1 * X2 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1, (X2 * X1 * X2^-1 * X1 * X2 * X1)^6, (X1 * X2 * X1 * X2^-1 * X1 * X2 * X1 * X2 * X1 * X2^-1 * X1 * X2^-1)^3 ]
Map:: polytopal
	R = (1, 2)(3, 7)(4, 8)(5, 9)(6, 10)(11, 19)(12, 20)(13, 21)(14, 22)(15, 23)(16, 24)(17, 25)(18, 26)(27, 43)(28, 44)(29, 45)(30, 46)(31, 47)(32, 48)(33, 49)(34, 50)(35, 51)(36, 52)(37, 53)(38, 54)(39, 55)(40, 56)(41, 57)(42, 58)(59, 90)(60, 91)(61, 92)(62, 93)(63, 94)(64, 95)(65, 96)(66, 97)(67, 98)(68, 99)(69, 100)(70, 101)(71, 102)(72, 103)(73, 104)(74, 75)(76, 105)(77, 106)(78, 107)(79, 108)(80, 109)(81, 110)(82, 111)(83, 112)(84, 113)(85, 114)(86, 115)(87, 116)(88, 117)(89, 118)(119, 169)(120, 170)(121, 171)(122, 172)(123, 173)(124, 174)(125, 175)(126, 176)(127, 177)(128, 178)(129, 179)(130, 180)(131, 181)(132, 182)(133, 183)(134, 184)(135, 185)(136, 186)(137, 187)(138, 188)(139, 189)(140, 190)(141, 191)(142, 192)(143, 193)(144, 194)(145, 195)(146, 196)(147, 197)(148, 198)(149, 199)(150, 200)(151, 201)(152, 202)(153, 203)(154, 204)(155, 205)(156, 206)(157, 207)(158, 208)(159, 209)(160, 210)(161, 211)(162, 212)(163, 213)(164, 214)(165, 215)(166, 216)(167, 217)(168, 218)(219, 472)(220, 474)(221, 296)(222, 477)(223, 479)(224, 419)(225, 320)(226, 482)(227, 484)(228, 486)(229, 488)(230, 490)(231, 491)(232, 362)(233, 494)(234, 485)(235, 496)(236, 498)(237, 366)(238, 267)(239, 501)(240, 503)(241, 504)(242, 506)(243, 508)(244, 318)(245, 510)(246, 512)(247, 356)(248, 326)(249, 515)(250, 517)(251, 519)(252, 521)(253, 523)(254, 524)(255, 412)(256, 527)(257, 518)(258, 530)(259, 532)(260, 416)(261, 273)(262, 535)(263, 537)(264, 541)(265, 447)(266, 548)(268, 555)(269, 559)(270, 563)(271, 483)(272, 570)(274, 577)(275, 460)(276, 470)(277, 587)(278, 423)(279, 516)(280, 597)(281, 395)(282, 604)(283, 608)(284, 612)(285, 376)(286, 619)(287, 623)(288, 627)(289, 360)(290, 430)(291, 637)(292, 410)(293, 644)(294, 647)(295, 346)(297, 656)(298, 436)(299, 661)(300, 665)(301, 386)(302, 672)(303, 676)(304, 680)(305, 337)(306, 462)(307, 690)(308, 525)(309, 405)(310, 700)(311, 703)(312, 706)(313, 324)(314, 424)(315, 438)(316, 717)(317, 354)(319, 726)(321, 654)(322, 732)(323, 735)(325, 741)(327, 724)(328, 411)(329, 751)(330, 368)(331, 453)(332, 759)(333, 433)(334, 635)(335, 765)(336, 768)(338, 774)(339, 457)(340, 745)(341, 398)(342, 502)(343, 788)(344, 790)(345, 792)(347, 361)(348, 442)(349, 492)(350, 536)(351, 806)(352, 809)(353, 812)(355, 379)(357, 822)(358, 824)(359, 826)(363, 834)(364, 801)(365, 836)(367, 841)(369, 418)(370, 849)(371, 852)(372, 814)(373, 585)(374, 858)(375, 861)(377, 867)(378, 870)(380, 876)(381, 879)(382, 708)(383, 625)(384, 885)(385, 888)(387, 893)(388, 450)(389, 898)(390, 900)(391, 843)(392, 575)(393, 905)(394, 907)(396, 912)(397, 878)(399, 920)(400, 921)(401, 682)(402, 628)(403, 925)(404, 928)(406, 933)(407, 936)(408, 938)(409, 939)(413, 945)(414, 693)(415, 838)(417, 951)(420, 958)(421, 959)(422, 960)(425, 966)(426, 781)(427, 948)(428, 968)(429, 971)(431, 977)(432, 979)(434, 981)(435, 856)(437, 987)(439, 465)(440, 992)(441, 995)(443, 664)(444, 984)(445, 970)(446, 1002)(448, 957)(449, 1007)(451, 808)(452, 947)(454, 1015)(455, 674)(456, 1017)(458, 1018)(459, 1020)(461, 1025)(463, 1028)(464, 1031)(466, 478)(467, 1021)(468, 480)(469, 1035)(471, 1038)(473, 1006)(475, 1022)(476, 953)(481, 1049)(487, 1059)(489, 758)(493, 1071)(495, 614)(497, 638)(499, 978)(500, 1076)(505, 982)(507, 974)(509, 1091)(511, 553)(513, 1079)(514, 1095)(520, 1105)(522, 851)(526, 1115)(528, 1117)(529, 667)(531, 588)(533, 1039)(534, 1123)(538, 720)(539, 633)(540, 629)(542, 754)(543, 652)(544, 648)(545, 738)(546, 643)(547, 639)(549, 650)(550, 593)(551, 589)(552, 771)(554, 658)(556, 631)(557, 583)(558, 579)(560, 846)(561, 722)(562, 718)(564, 873)(565, 740)(566, 736)(567, 896)(568, 756)(569, 752)(571, 917)(572, 773)(573, 769)(574, 864)(576, 727)(578, 641)(580, 582)(581, 591)(584, 910)(586, 760)(590, 592)(594, 934)(595, 848)(596, 777)(598, 1068)(599, 866)(600, 862)(601, 1085)(602, 875)(603, 871)(605, 1113)(606, 892)(607, 889)(609, 894)(610, 897)(611, 746)(613, 1175)(615, 908)(616, 1166)(617, 919)(618, 915)(620, 1181)(621, 932)(622, 929)(624, 1053)(626, 853)(630, 632)(634, 924)(636, 880)(640, 642)(645, 1137)(646, 901)(649, 651)(653, 883)(655, 922)(657, 779)(659, 660)(662, 775)(663, 935)(666, 1212)(668, 1050)(669, 1144)(670, 1070)(671, 994)(673, 1182)(675, 1077)(677, 868)(678, 1086)(679, 729)(681, 1199)(683, 1096)(684, 1161)(685, 1114)(686, 1110)(687, 1172)(688, 832)(689, 1124)(691, 742)(692, 895)(694, 1221)(695, 1033)(696, 1222)(697, 1140)(698, 1223)(699, 1189)(701, 1169)(702, 1064)(704, 913)(705, 762)(707, 1184)(709, 1173)(710, 1211)(711, 1087)(712, 1160)(713, 799)(714, 1229)(715, 1139)(716, 1043)(719, 721)(723, 763)(725, 988)(728, 731)(730, 757)(733, 1130)(734, 1092)(737, 739)(743, 1032)(744, 748)(747, 850)(749, 1143)(750, 1242)(753, 755)(761, 764)(766, 1103)(767, 1236)(770, 772)(776, 780)(778, 847)(782, 1256)(783, 1141)(784, 1224)(785, 1131)(786, 1080)(787, 1195)(789, 1147)(791, 855)(793, 1191)(794, 1210)(795, 1217)(796, 899)(797, 1165)(798, 1260)(800, 869)(802, 1067)(803, 1138)(804, 1126)(805, 1157)(807, 1163)(810, 1106)(811, 882)(813, 1153)(815, 1216)(816, 1174)(817, 1041)(818, 1145)(819, 1214)(820, 1128)(821, 1030)(823, 1045)(825, 903)(827, 1205)(828, 1046)(829, 1226)(830, 1179)(831, 1269)(833, 914)(835, 1054)(837, 1111)(839, 1183)(840, 923)(842, 1148)(844, 1162)(845, 1219)(854, 857)(859, 1004)(860, 1202)(863, 865)(872, 874)(877, 996)(881, 884)(886, 1057)(887, 1228)(890, 891)(902, 904)(906, 1188)(909, 911)(916, 918)(926, 1134)(927, 1088)(930, 931)(937, 1001)(940, 1230)(941, 1258)(942, 1215)(943, 1267)(944, 1060)(946, 1099)(949, 976)(950, 1073)(952, 973)(954, 1167)(955, 1177)(956, 1133)(961, 985)(962, 1069)(963, 1263)(964, 1026)(965, 1289)(967, 1065)(969, 1036)(972, 1100)(975, 1251)(980, 1016)(983, 1118)(986, 1266)(989, 1225)(990, 1062)(991, 1291)(993, 1102)(997, 1282)(998, 1170)(999, 1078)(1000, 1168)(1003, 1098)(1005, 1097)(1008, 1198)(1009, 1180)(1010, 1122)(1011, 1218)(1012, 1196)(1013, 1253)(1014, 1135)(1019, 1279)(1023, 1121)(1024, 1271)(1027, 1295)(1029, 1119)(1034, 1227)(1037, 1278)(1040, 1081)(1042, 1238)(1044, 1047)(1048, 1193)(1051, 1129)(1052, 1146)(1055, 1082)(1056, 1090)(1058, 1240)(1061, 1280)(1063, 1246)(1066, 1176)(1072, 1245)(1074, 1293)(1075, 1150)(1083, 1296)(1084, 1270)(1089, 1204)(1093, 1094)(1101, 1261)(1104, 1208)(1107, 1243)(1108, 1235)(1109, 1274)(1112, 1213)(1116, 1249)(1120, 1268)(1125, 1127)(1132, 1252)(1136, 1244)(1142, 1284)(1149, 1233)(1151, 1285)(1152, 1255)(1154, 1247)(1155, 1288)(1156, 1241)(1158, 1237)(1159, 1265)(1164, 1273)(1171, 1257)(1178, 1264)(1185, 1275)(1186, 1287)(1187, 1281)(1190, 1203)(1192, 1254)(1194, 1234)(1197, 1262)(1200, 1286)(1201, 1276)(1206, 1239)(1207, 1231)(1209, 1248)(1220, 1259)(1232, 1292)(1250, 1272)(1277, 1290)(1283, 1294)(1297, 1299, 1300)(1298, 1301, 1302)(1303, 1307, 1308)(1304, 1309, 1310)(1305, 1311, 1312)(1306, 1313, 1314)(1315, 1323, 1324)(1316, 1325, 1326)(1317, 1327, 1328)(1318, 1329, 1330)(1319, 1331, 1332)(1320, 1333, 1334)(1321, 1335, 1336)(1322, 1337, 1338)(1339, 1355, 1356)(1340, 1357, 1358)(1341, 1359, 1360)(1342, 1361, 1362)(1343, 1363, 1364)(1344, 1365, 1366)(1345, 1367, 1368)(1346, 1369, 1370)(1347, 1371, 1372)(1348, 1373, 1374)(1349, 1375, 1376)(1350, 1377, 1378)(1351, 1379, 1380)(1352, 1381, 1382)(1353, 1383, 1384)(1354, 1385, 1386)(1387, 1415, 1416)(1388, 1417, 1418)(1389, 1419, 1420)(1390, 1421, 1422)(1391, 1423, 1424)(1392, 1425, 1426)(1393, 1427, 1394)(1395, 1428, 1429)(1396, 1430, 1431)(1397, 1432, 1433)(1398, 1434, 1435)(1399, 1436, 1437)(1400, 1438, 1439)(1401, 1440, 1441)(1402, 1442, 1443)(1403, 1444, 1445)(1404, 1446, 1447)(1405, 1448, 1449)(1406, 1450, 1451)(1407, 1452, 1408)(1409, 1453, 1454)(1410, 1455, 1456)(1411, 1457, 1458)(1412, 1459, 1460)(1413, 1461, 1462)(1414, 1463, 1464)(1465, 1515, 1516)(1466, 1517, 1518)(1467, 1519, 1520)(1468, 1521, 1522)(1469, 1523, 1524)(1470, 1525, 1471)(1472, 1526, 1527)(1473, 1528, 1529)(1474, 1530, 1531)(1475, 1532, 1533)(1476, 1534, 1535)(1477, 1536, 1537)(1478, 1538, 1539)(1479, 1540, 1541)(1480, 1542, 1543)(1481, 1544, 1545)(1482, 1546, 1547)(1483, 1548, 1484)(1485, 1549, 1550)(1486, 1551, 1552)(1487, 1553, 1554)(1488, 1555, 1556)(1489, 1557, 1558)(1490, 1725, 2268)(1491, 1726, 2271)(1492, 1711, 2243)(1493, 1729, 2276)(1494, 1731, 2279)(1495, 1733, 1496)(1497, 1736, 2289)(1498, 1738, 2292)(1499, 1740, 2296)(1500, 1741, 2105)(1501, 1743, 2300)(1502, 1745, 2304)(1503, 1747, 2307)(1504, 1749, 2180)(1505, 1751, 1798)(1506, 1753, 1822)(1507, 1755, 2098)(1508, 1757, 1509)(1510, 1759, 2325)(1511, 1761, 2328)(1512, 1763, 1809)(1513, 1765, 2298)(1514, 1766, 2333)(1559, 1834, 1836)(1560, 1838, 1840)(1561, 1841, 1843)(1562, 1845, 1847)(1563, 1848, 1850)(1564, 1852, 1854)(1565, 1856, 1858)(1566, 1860, 1862)(1567, 1863, 1865)(1568, 1867, 1869)(1569, 1870, 1872)(1570, 1874, 1876)(1571, 1877, 1879)(1572, 1880, 1882)(1573, 1884, 1886)(1574, 1887, 1889)(1575, 1890, 1892)(1576, 1894, 1896)(1577, 1897, 1899)(1578, 1901, 1903)(1579, 1905, 1907)(1580, 1909, 1911)(1581, 1912, 1914)(1582, 1916, 1918)(1583, 1920, 1922)(1584, 1924, 1926)(1585, 1927, 1929)(1586, 1930, 1932)(1587, 1934, 1936)(1588, 1937, 1939)(1589, 1941, 1942)(1590, 1921, 1945)(1591, 1946, 1948)(1592, 1949, 1951)(1593, 1953, 1955)(1594, 1827, 1807)(1595, 1958, 1960)(1596, 1962, 1964)(1597, 1965, 1967)(1598, 1969, 1971)(1599, 1973, 1975)(1600, 1977, 1979)(1601, 1980, 1982)(1602, 1983, 1985)(1603, 1987, 1989)(1604, 1990, 1992)(1605, 1993, 1995)(1606, 1997, 1998)(1607, 2000, 2001)(1608, 2003, 1974)(1609, 2005, 2007)(1610, 2008, 2010)(1611, 2011, 2012)(1612, 1931, 2015)(1613, 2016, 2018)(1614, 2019, 2021)(1615, 2009, 2024)(1616, 1986, 2026)(1617, 1698, 1688)(1618, 2029, 2030)(1619, 1881, 2033)(1620, 2034, 2036)(1621, 2038, 2040)(1622, 2041, 2043)(1623, 1793, 1774)(1624, 2045, 2046)(1625, 1950, 2049)(1626, 2050, 2052)(1627, 2053, 2054)(1628, 1984, 2057)(1629, 1957, 2059)(1630, 1679, 1669)(1631, 2062, 2063)(1632, 1871, 2066)(1633, 2067, 2069)(1634, 2071, 2072)(1635, 2020, 2074)(1636, 2075, 2077)(1637, 2078, 2080)(1638, 2081, 2083)(1639, 2085, 1728)(1640, 1750, 2087)(1641, 2089, 1906)(1642, 2090, 2092)(1643, 2093, 2094)(1644, 2095, 2097)(1645, 1737, 1760)(1646, 2099, 2101)(1647, 2103, 2104)(1648, 2106, 2107)(1649, 2109, 1959)(1650, 2111, 2113)(1651, 2082, 2115)(1652, 2116, 2117)(1653, 2119, 1704)(1654, 1716, 2121)(1655, 2123, 1891)(1656, 2124, 1818)(1657, 2126, 2127)(1658, 2128, 1832)(1659, 1709, 1721)(1660, 2131, 1777)(1661, 2133, 1802)(1662, 2135, 2136)(1663, 2138, 1988)(1664, 2100, 2141)(1665, 2142, 2144)(1666, 2146, 2147)(1667, 1917, 2150)(1668, 1972, 2152)(1670, 2155, 2156)(1671, 1762, 2159)(1672, 2160, 2162)(1673, 2164, 2165)(1674, 1732, 2168)(1675, 2169, 2171)(1676, 2173, 2174)(1677, 1970, 2177)(1678, 1904, 2179)(1680, 2182, 2183)(1681, 1849, 2186)(1682, 1735, 2188)(1683, 2190, 2191)(1684, 2192, 2193)(1685, 2143, 2195)(1686, 1902, 2198)(1687, 1999, 1780)(1689, 1797, 2202)(1690, 1722, 2205)(1691, 2206, 1791)(1692, 2209, 2210)(1693, 1706, 2212)(1694, 2213, 2215)(1695, 1790, 2166)(1696, 1808, 1806)(1697, 1812, 2220)(1699, 2222, 2223)(1700, 1842, 2226)(1701, 1708, 2228)(1702, 2230, 2231)(1703, 2233, 1717)(1705, 2236, 1898)(1707, 2238, 2239)(1710, 2242, 1810)(1712, 2245, 2246)(1713, 2248, 2076)(1714, 1994, 2251)(1715, 2252, 2253)(1718, 2257, 1864)(1719, 2258, 1785)(1720, 2260, 2261)(1723, 2263, 1768)(1724, 2265, 2096)(1727, 2274, 1752)(1730, 2278, 1913)(1734, 2285, 2286)(1739, 2294, 2295)(1742, 2249, 2299)(1744, 2302, 2044)(1746, 1966, 2306)(1748, 2310, 2247)(1754, 2315, 1857)(1756, 2319, 2284)(1758, 2322, 2323)(1764, 2330, 2267)(1767, 2335, 2129)(1769, 2170, 2337)(1770, 2110, 2338)(1771, 1868, 2340)(1772, 2086, 1813)(1773, 1824, 1775)(1776, 1831, 2344)(1778, 2347, 2348)(1779, 2349, 1825)(1781, 2352, 1991)(1782, 1844, 2353)(1783, 2311, 2356)(1784, 2357, 2358)(1786, 2360, 2362)(1787, 2145, 2060)(1788, 2364, 2366)(1789, 1823, 2047)(1792, 2370, 1794)(1795, 2371, 2277)(1796, 1846, 2374)(1799, 2377, 2378)(1800, 1919, 2380)(1801, 2381, 2382)(1803, 2051, 2383)(1804, 2004, 2385)(1805, 1895, 2389)(1811, 2393, 2394)(1814, 2397, 2079)(1815, 1833, 2399)(1816, 2402, 2313)(1817, 2403, 2404)(1819, 2275, 2408)(1820, 2172, 2153)(1821, 2409, 2410)(1826, 2416, 1828)(1829, 2417, 2418)(1830, 1835, 2421)(1837, 2426, 2363)(1839, 2412, 2428)(1851, 2430, 2414)(1853, 2391, 2432)(1855, 2433, 2329)(1859, 2435, 2437)(1861, 2368, 2438)(1866, 2439, 2441)(1873, 2446, 2218)(1875, 2203, 2448)(1878, 2345, 2309)(1883, 2451, 2176)(1885, 2157, 2452)(1888, 2453, 2454)(1893, 2456, 2458)(1900, 2461, 2463)(1908, 2468, 2470)(1910, 2301, 2472)(1915, 2475, 2476)(1923, 2482, 2056)(1925, 2184, 2466)(1928, 2485, 2486)(1933, 2282, 2149)(1935, 2064, 2490)(1938, 2491, 2492)(1940, 2493, 2494)(1943, 2497, 2023)(1944, 2224, 2395)(1947, 2290, 2499)(1952, 2237, 2197)(1954, 2031, 2505)(1956, 2326, 2270)(1961, 2477, 2507)(1963, 2280, 2509)(1968, 2511, 2496)(1976, 2478, 2513)(1978, 2425, 2514)(1981, 2384, 2229)(1996, 2521, 2481)(2002, 2465, 2522)(2006, 2524, 2189)(2013, 2293, 2039)(2014, 2372, 2207)(2017, 2406, 2308)(2022, 2259, 2339)(2025, 2530, 2423)(2027, 2398, 2194)(2028, 2467, 2531)(2032, 2419, 2350)(2035, 2211, 2533)(2037, 2125, 2388)(2042, 2537, 2227)(2048, 2540, 2161)(2055, 2320, 2538)(2058, 2544, 2545)(2061, 2455, 2546)(2065, 2548, 2434)(2068, 2167, 2549)(2070, 2091, 2532)(2073, 2551, 2187)(2084, 2553, 2488)(2088, 2443, 2554)(2102, 2558, 2450)(2108, 2459, 2559)(2112, 2498, 2163)(2114, 2317, 2401)(2118, 2561, 2502)(2120, 2316, 2272)(2122, 2341, 2562)(2130, 2471, 2519)(2132, 2566, 2445)(2134, 2547, 2354)(2137, 2407, 2567)(2139, 2442, 2396)(2140, 2484, 2208)(2148, 2431, 2525)(2151, 2572, 2314)(2154, 2460, 2573)(2158, 2575, 2436)(2175, 2447, 2556)(2178, 2578, 2541)(2181, 2287, 2579)(2185, 2580, 2427)(2196, 2429, 2420)(2199, 2583, 2256)(2200, 2415, 2216)(2201, 2474, 2336)(2204, 2281, 2440)(2214, 2515, 2269)(2217, 2405, 2565)(2219, 2367, 2343)(2221, 2240, 2379)(2225, 2318, 2424)(2232, 2569, 2527)(2234, 2386, 2324)(2235, 2297, 2584)(2241, 2508, 2376)(2244, 2574, 2400)(2250, 2489, 2355)(2254, 2587, 2588)(2255, 2557, 2479)(2262, 2495, 2422)(2264, 2361, 2581)(2266, 2464, 2351)(2273, 2560, 2542)(2283, 2483, 2563)(2288, 2373, 2387)(2291, 2517, 2552)(2303, 2586, 2589)(2305, 2504, 2528)(2312, 2500, 2534)(2321, 2539, 2568)(2327, 2480, 2512)(2331, 2375, 2516)(2332, 2365, 2473)(2334, 2523, 2570)(2342, 2510, 2444)(2346, 2501, 2457)(2359, 2585, 2413)(2369, 2411, 2390)(2392, 2526, 2462)(2449, 2506, 2520)(2469, 2518, 2487)(2503, 2591, 2536)(2529, 2535, 2582)(2543, 2550, 2571)(2555, 2577, 2592)(2564, 2576, 2590)
	L = (1, 1297)(2, 1298)(3, 1299)(4, 1300)(5, 1301)(6, 1302)(7, 1303)(8, 1304)(9, 1305)(10, 1306)(11, 1307)(12, 1308)(13, 1309)(14, 1310)(15, 1311)(16, 1312)(17, 1313)(18, 1314)(19, 1315)(20, 1316)(21, 1317)(22, 1318)(23, 1319)(24, 1320)(25, 1321)(26, 1322)(27, 1323)(28, 1324)(29, 1325)(30, 1326)(31, 1327)(32, 1328)(33, 1329)(34, 1330)(35, 1331)(36, 1332)(37, 1333)(38, 1334)(39, 1335)(40, 1336)(41, 1337)(42, 1338)(43, 1339)(44, 1340)(45, 1341)(46, 1342)(47, 1343)(48, 1344)(49, 1345)(50, 1346)(51, 1347)(52, 1348)(53, 1349)(54, 1350)(55, 1351)(56, 1352)(57, 1353)(58, 1354)(59, 1355)(60, 1356)(61, 1357)(62, 1358)(63, 1359)(64, 1360)(65, 1361)(66, 1362)(67, 1363)(68, 1364)(69, 1365)(70, 1366)(71, 1367)(72, 1368)(73, 1369)(74, 1370)(75, 1371)(76, 1372)(77, 1373)(78, 1374)(79, 1375)(80, 1376)(81, 1377)(82, 1378)(83, 1379)(84, 1380)(85, 1381)(86, 1382)(87, 1383)(88, 1384)(89, 1385)(90, 1386)(91, 1387)(92, 1388)(93, 1389)(94, 1390)(95, 1391)(96, 1392)(97, 1393)(98, 1394)(99, 1395)(100, 1396)(101, 1397)(102, 1398)(103, 1399)(104, 1400)(105, 1401)(106, 1402)(107, 1403)(108, 1404)(109, 1405)(110, 1406)(111, 1407)(112, 1408)(113, 1409)(114, 1410)(115, 1411)(116, 1412)(117, 1413)(118, 1414)(119, 1415)(120, 1416)(121, 1417)(122, 1418)(123, 1419)(124, 1420)(125, 1421)(126, 1422)(127, 1423)(128, 1424)(129, 1425)(130, 1426)(131, 1427)(132, 1428)(133, 1429)(134, 1430)(135, 1431)(136, 1432)(137, 1433)(138, 1434)(139, 1435)(140, 1436)(141, 1437)(142, 1438)(143, 1439)(144, 1440)(145, 1441)(146, 1442)(147, 1443)(148, 1444)(149, 1445)(150, 1446)(151, 1447)(152, 1448)(153, 1449)(154, 1450)(155, 1451)(156, 1452)(157, 1453)(158, 1454)(159, 1455)(160, 1456)(161, 1457)(162, 1458)(163, 1459)(164, 1460)(165, 1461)(166, 1462)(167, 1463)(168, 1464)(169, 1465)(170, 1466)(171, 1467)(172, 1468)(173, 1469)(174, 1470)(175, 1471)(176, 1472)(177, 1473)(178, 1474)(179, 1475)(180, 1476)(181, 1477)(182, 1478)(183, 1479)(184, 1480)(185, 1481)(186, 1482)(187, 1483)(188, 1484)(189, 1485)(190, 1486)(191, 1487)(192, 1488)(193, 1489)(194, 1490)(195, 1491)(196, 1492)(197, 1493)(198, 1494)(199, 1495)(200, 1496)(201, 1497)(202, 1498)(203, 1499)(204, 1500)(205, 1501)(206, 1502)(207, 1503)(208, 1504)(209, 1505)(210, 1506)(211, 1507)(212, 1508)(213, 1509)(214, 1510)(215, 1511)(216, 1512)(217, 1513)(218, 1514)(219, 1515)(220, 1516)(221, 1517)(222, 1518)(223, 1519)(224, 1520)(225, 1521)(226, 1522)(227, 1523)(228, 1524)(229, 1525)(230, 1526)(231, 1527)(232, 1528)(233, 1529)(234, 1530)(235, 1531)(236, 1532)(237, 1533)(238, 1534)(239, 1535)(240, 1536)(241, 1537)(242, 1538)(243, 1539)(244, 1540)(245, 1541)(246, 1542)(247, 1543)(248, 1544)(249, 1545)(250, 1546)(251, 1547)(252, 1548)(253, 1549)(254, 1550)(255, 1551)(256, 1552)(257, 1553)(258, 1554)(259, 1555)(260, 1556)(261, 1557)(262, 1558)(263, 1559)(264, 1560)(265, 1561)(266, 1562)(267, 1563)(268, 1564)(269, 1565)(270, 1566)(271, 1567)(272, 1568)(273, 1569)(274, 1570)(275, 1571)(276, 1572)(277, 1573)(278, 1574)(279, 1575)(280, 1576)(281, 1577)(282, 1578)(283, 1579)(284, 1580)(285, 1581)(286, 1582)(287, 1583)(288, 1584)(289, 1585)(290, 1586)(291, 1587)(292, 1588)(293, 1589)(294, 1590)(295, 1591)(296, 1592)(297, 1593)(298, 1594)(299, 1595)(300, 1596)(301, 1597)(302, 1598)(303, 1599)(304, 1600)(305, 1601)(306, 1602)(307, 1603)(308, 1604)(309, 1605)(310, 1606)(311, 1607)(312, 1608)(313, 1609)(314, 1610)(315, 1611)(316, 1612)(317, 1613)(318, 1614)(319, 1615)(320, 1616)(321, 1617)(322, 1618)(323, 1619)(324, 1620)(325, 1621)(326, 1622)(327, 1623)(328, 1624)(329, 1625)(330, 1626)(331, 1627)(332, 1628)(333, 1629)(334, 1630)(335, 1631)(336, 1632)(337, 1633)(338, 1634)(339, 1635)(340, 1636)(341, 1637)(342, 1638)(343, 1639)(344, 1640)(345, 1641)(346, 1642)(347, 1643)(348, 1644)(349, 1645)(350, 1646)(351, 1647)(352, 1648)(353, 1649)(354, 1650)(355, 1651)(356, 1652)(357, 1653)(358, 1654)(359, 1655)(360, 1656)(361, 1657)(362, 1658)(363, 1659)(364, 1660)(365, 1661)(366, 1662)(367, 1663)(368, 1664)(369, 1665)(370, 1666)(371, 1667)(372, 1668)(373, 1669)(374, 1670)(375, 1671)(376, 1672)(377, 1673)(378, 1674)(379, 1675)(380, 1676)(381, 1677)(382, 1678)(383, 1679)(384, 1680)(385, 1681)(386, 1682)(387, 1683)(388, 1684)(389, 1685)(390, 1686)(391, 1687)(392, 1688)(393, 1689)(394, 1690)(395, 1691)(396, 1692)(397, 1693)(398, 1694)(399, 1695)(400, 1696)(401, 1697)(402, 1698)(403, 1699)(404, 1700)(405, 1701)(406, 1702)(407, 1703)(408, 1704)(409, 1705)(410, 1706)(411, 1707)(412, 1708)(413, 1709)(414, 1710)(415, 1711)(416, 1712)(417, 1713)(418, 1714)(419, 1715)(420, 1716)(421, 1717)(422, 1718)(423, 1719)(424, 1720)(425, 1721)(426, 1722)(427, 1723)(428, 1724)(429, 1725)(430, 1726)(431, 1727)(432, 1728)(433, 1729)(434, 1730)(435, 1731)(436, 1732)(437, 1733)(438, 1734)(439, 1735)(440, 1736)(441, 1737)(442, 1738)(443, 1739)(444, 1740)(445, 1741)(446, 1742)(447, 1743)(448, 1744)(449, 1745)(450, 1746)(451, 1747)(452, 1748)(453, 1749)(454, 1750)(455, 1751)(456, 1752)(457, 1753)(458, 1754)(459, 1755)(460, 1756)(461, 1757)(462, 1758)(463, 1759)(464, 1760)(465, 1761)(466, 1762)(467, 1763)(468, 1764)(469, 1765)(470, 1766)(471, 1767)(472, 1768)(473, 1769)(474, 1770)(475, 1771)(476, 1772)(477, 1773)(478, 1774)(479, 1775)(480, 1776)(481, 1777)(482, 1778)(483, 1779)(484, 1780)(485, 1781)(486, 1782)(487, 1783)(488, 1784)(489, 1785)(490, 1786)(491, 1787)(492, 1788)(493, 1789)(494, 1790)(495, 1791)(496, 1792)(497, 1793)(498, 1794)(499, 1795)(500, 1796)(501, 1797)(502, 1798)(503, 1799)(504, 1800)(505, 1801)(506, 1802)(507, 1803)(508, 1804)(509, 1805)(510, 1806)(511, 1807)(512, 1808)(513, 1809)(514, 1810)(515, 1811)(516, 1812)(517, 1813)(518, 1814)(519, 1815)(520, 1816)(521, 1817)(522, 1818)(523, 1819)(524, 1820)(525, 1821)(526, 1822)(527, 1823)(528, 1824)(529, 1825)(530, 1826)(531, 1827)(532, 1828)(533, 1829)(534, 1830)(535, 1831)(536, 1832)(537, 1833)(538, 1834)(539, 1835)(540, 1836)(541, 1837)(542, 1838)(543, 1839)(544, 1840)(545, 1841)(546, 1842)(547, 1843)(548, 1844)(549, 1845)(550, 1846)(551, 1847)(552, 1848)(553, 1849)(554, 1850)(555, 1851)(556, 1852)(557, 1853)(558, 1854)(559, 1855)(560, 1856)(561, 1857)(562, 1858)(563, 1859)(564, 1860)(565, 1861)(566, 1862)(567, 1863)(568, 1864)(569, 1865)(570, 1866)(571, 1867)(572, 1868)(573, 1869)(574, 1870)(575, 1871)(576, 1872)(577, 1873)(578, 1874)(579, 1875)(580, 1876)(581, 1877)(582, 1878)(583, 1879)(584, 1880)(585, 1881)(586, 1882)(587, 1883)(588, 1884)(589, 1885)(590, 1886)(591, 1887)(592, 1888)(593, 1889)(594, 1890)(595, 1891)(596, 1892)(597, 1893)(598, 1894)(599, 1895)(600, 1896)(601, 1897)(602, 1898)(603, 1899)(604, 1900)(605, 1901)(606, 1902)(607, 1903)(608, 1904)(609, 1905)(610, 1906)(611, 1907)(612, 1908)(613, 1909)(614, 1910)(615, 1911)(616, 1912)(617, 1913)(618, 1914)(619, 1915)(620, 1916)(621, 1917)(622, 1918)(623, 1919)(624, 1920)(625, 1921)(626, 1922)(627, 1923)(628, 1924)(629, 1925)(630, 1926)(631, 1927)(632, 1928)(633, 1929)(634, 1930)(635, 1931)(636, 1932)(637, 1933)(638, 1934)(639, 1935)(640, 1936)(641, 1937)(642, 1938)(643, 1939)(644, 1940)(645, 1941)(646, 1942)(647, 1943)(648, 1944)(649, 1945)(650, 1946)(651, 1947)(652, 1948)(653, 1949)(654, 1950)(655, 1951)(656, 1952)(657, 1953)(658, 1954)(659, 1955)(660, 1956)(661, 1957)(662, 1958)(663, 1959)(664, 1960)(665, 1961)(666, 1962)(667, 1963)(668, 1964)(669, 1965)(670, 1966)(671, 1967)(672, 1968)(673, 1969)(674, 1970)(675, 1971)(676, 1972)(677, 1973)(678, 1974)(679, 1975)(680, 1976)(681, 1977)(682, 1978)(683, 1979)(684, 1980)(685, 1981)(686, 1982)(687, 1983)(688, 1984)(689, 1985)(690, 1986)(691, 1987)(692, 1988)(693, 1989)(694, 1990)(695, 1991)(696, 1992)(697, 1993)(698, 1994)(699, 1995)(700, 1996)(701, 1997)(702, 1998)(703, 1999)(704, 2000)(705, 2001)(706, 2002)(707, 2003)(708, 2004)(709, 2005)(710, 2006)(711, 2007)(712, 2008)(713, 2009)(714, 2010)(715, 2011)(716, 2012)(717, 2013)(718, 2014)(719, 2015)(720, 2016)(721, 2017)(722, 2018)(723, 2019)(724, 2020)(725, 2021)(726, 2022)(727, 2023)(728, 2024)(729, 2025)(730, 2026)(731, 2027)(732, 2028)(733, 2029)(734, 2030)(735, 2031)(736, 2032)(737, 2033)(738, 2034)(739, 2035)(740, 2036)(741, 2037)(742, 2038)(743, 2039)(744, 2040)(745, 2041)(746, 2042)(747, 2043)(748, 2044)(749, 2045)(750, 2046)(751, 2047)(752, 2048)(753, 2049)(754, 2050)(755, 2051)(756, 2052)(757, 2053)(758, 2054)(759, 2055)(760, 2056)(761, 2057)(762, 2058)(763, 2059)(764, 2060)(765, 2061)(766, 2062)(767, 2063)(768, 2064)(769, 2065)(770, 2066)(771, 2067)(772, 2068)(773, 2069)(774, 2070)(775, 2071)(776, 2072)(777, 2073)(778, 2074)(779, 2075)(780, 2076)(781, 2077)(782, 2078)(783, 2079)(784, 2080)(785, 2081)(786, 2082)(787, 2083)(788, 2084)(789, 2085)(790, 2086)(791, 2087)(792, 2088)(793, 2089)(794, 2090)(795, 2091)(796, 2092)(797, 2093)(798, 2094)(799, 2095)(800, 2096)(801, 2097)(802, 2098)(803, 2099)(804, 2100)(805, 2101)(806, 2102)(807, 2103)(808, 2104)(809, 2105)(810, 2106)(811, 2107)(812, 2108)(813, 2109)(814, 2110)(815, 2111)(816, 2112)(817, 2113)(818, 2114)(819, 2115)(820, 2116)(821, 2117)(822, 2118)(823, 2119)(824, 2120)(825, 2121)(826, 2122)(827, 2123)(828, 2124)(829, 2125)(830, 2126)(831, 2127)(832, 2128)(833, 2129)(834, 2130)(835, 2131)(836, 2132)(837, 2133)(838, 2134)(839, 2135)(840, 2136)(841, 2137)(842, 2138)(843, 2139)(844, 2140)(845, 2141)(846, 2142)(847, 2143)(848, 2144)(849, 2145)(850, 2146)(851, 2147)(852, 2148)(853, 2149)(854, 2150)(855, 2151)(856, 2152)(857, 2153)(858, 2154)(859, 2155)(860, 2156)(861, 2157)(862, 2158)(863, 2159)(864, 2160)(865, 2161)(866, 2162)(867, 2163)(868, 2164)(869, 2165)(870, 2166)(871, 2167)(872, 2168)(873, 2169)(874, 2170)(875, 2171)(876, 2172)(877, 2173)(878, 2174)(879, 2175)(880, 2176)(881, 2177)(882, 2178)(883, 2179)(884, 2180)(885, 2181)(886, 2182)(887, 2183)(888, 2184)(889, 2185)(890, 2186)(891, 2187)(892, 2188)(893, 2189)(894, 2190)(895, 2191)(896, 2192)(897, 2193)(898, 2194)(899, 2195)(900, 2196)(901, 2197)(902, 2198)(903, 2199)(904, 2200)(905, 2201)(906, 2202)(907, 2203)(908, 2204)(909, 2205)(910, 2206)(911, 2207)(912, 2208)(913, 2209)(914, 2210)(915, 2211)(916, 2212)(917, 2213)(918, 2214)(919, 2215)(920, 2216)(921, 2217)(922, 2218)(923, 2219)(924, 2220)(925, 2221)(926, 2222)(927, 2223)(928, 2224)(929, 2225)(930, 2226)(931, 2227)(932, 2228)(933, 2229)(934, 2230)(935, 2231)(936, 2232)(937, 2233)(938, 2234)(939, 2235)(940, 2236)(941, 2237)(942, 2238)(943, 2239)(944, 2240)(945, 2241)(946, 2242)(947, 2243)(948, 2244)(949, 2245)(950, 2246)(951, 2247)(952, 2248)(953, 2249)(954, 2250)(955, 2251)(956, 2252)(957, 2253)(958, 2254)(959, 2255)(960, 2256)(961, 2257)(962, 2258)(963, 2259)(964, 2260)(965, 2261)(966, 2262)(967, 2263)(968, 2264)(969, 2265)(970, 2266)(971, 2267)(972, 2268)(973, 2269)(974, 2270)(975, 2271)(976, 2272)(977, 2273)(978, 2274)(979, 2275)(980, 2276)(981, 2277)(982, 2278)(983, 2279)(984, 2280)(985, 2281)(986, 2282)(987, 2283)(988, 2284)(989, 2285)(990, 2286)(991, 2287)(992, 2288)(993, 2289)(994, 2290)(995, 2291)(996, 2292)(997, 2293)(998, 2294)(999, 2295)(1000, 2296)(1001, 2297)(1002, 2298)(1003, 2299)(1004, 2300)(1005, 2301)(1006, 2302)(1007, 2303)(1008, 2304)(1009, 2305)(1010, 2306)(1011, 2307)(1012, 2308)(1013, 2309)(1014, 2310)(1015, 2311)(1016, 2312)(1017, 2313)(1018, 2314)(1019, 2315)(1020, 2316)(1021, 2317)(1022, 2318)(1023, 2319)(1024, 2320)(1025, 2321)(1026, 2322)(1027, 2323)(1028, 2324)(1029, 2325)(1030, 2326)(1031, 2327)(1032, 2328)(1033, 2329)(1034, 2330)(1035, 2331)(1036, 2332)(1037, 2333)(1038, 2334)(1039, 2335)(1040, 2336)(1041, 2337)(1042, 2338)(1043, 2339)(1044, 2340)(1045, 2341)(1046, 2342)(1047, 2343)(1048, 2344)(1049, 2345)(1050, 2346)(1051, 2347)(1052, 2348)(1053, 2349)(1054, 2350)(1055, 2351)(1056, 2352)(1057, 2353)(1058, 2354)(1059, 2355)(1060, 2356)(1061, 2357)(1062, 2358)(1063, 2359)(1064, 2360)(1065, 2361)(1066, 2362)(1067, 2363)(1068, 2364)(1069, 2365)(1070, 2366)(1071, 2367)(1072, 2368)(1073, 2369)(1074, 2370)(1075, 2371)(1076, 2372)(1077, 2373)(1078, 2374)(1079, 2375)(1080, 2376)(1081, 2377)(1082, 2378)(1083, 2379)(1084, 2380)(1085, 2381)(1086, 2382)(1087, 2383)(1088, 2384)(1089, 2385)(1090, 2386)(1091, 2387)(1092, 2388)(1093, 2389)(1094, 2390)(1095, 2391)(1096, 2392)(1097, 2393)(1098, 2394)(1099, 2395)(1100, 2396)(1101, 2397)(1102, 2398)(1103, 2399)(1104, 2400)(1105, 2401)(1106, 2402)(1107, 2403)(1108, 2404)(1109, 2405)(1110, 2406)(1111, 2407)(1112, 2408)(1113, 2409)(1114, 2410)(1115, 2411)(1116, 2412)(1117, 2413)(1118, 2414)(1119, 2415)(1120, 2416)(1121, 2417)(1122, 2418)(1123, 2419)(1124, 2420)(1125, 2421)(1126, 2422)(1127, 2423)(1128, 2424)(1129, 2425)(1130, 2426)(1131, 2427)(1132, 2428)(1133, 2429)(1134, 2430)(1135, 2431)(1136, 2432)(1137, 2433)(1138, 2434)(1139, 2435)(1140, 2436)(1141, 2437)(1142, 2438)(1143, 2439)(1144, 2440)(1145, 2441)(1146, 2442)(1147, 2443)(1148, 2444)(1149, 2445)(1150, 2446)(1151, 2447)(1152, 2448)(1153, 2449)(1154, 2450)(1155, 2451)(1156, 2452)(1157, 2453)(1158, 2454)(1159, 2455)(1160, 2456)(1161, 2457)(1162, 2458)(1163, 2459)(1164, 2460)(1165, 2461)(1166, 2462)(1167, 2463)(1168, 2464)(1169, 2465)(1170, 2466)(1171, 2467)(1172, 2468)(1173, 2469)(1174, 2470)(1175, 2471)(1176, 2472)(1177, 2473)(1178, 2474)(1179, 2475)(1180, 2476)(1181, 2477)(1182, 2478)(1183, 2479)(1184, 2480)(1185, 2481)(1186, 2482)(1187, 2483)(1188, 2484)(1189, 2485)(1190, 2486)(1191, 2487)(1192, 2488)(1193, 2489)(1194, 2490)(1195, 2491)(1196, 2492)(1197, 2493)(1198, 2494)(1199, 2495)(1200, 2496)(1201, 2497)(1202, 2498)(1203, 2499)(1204, 2500)(1205, 2501)(1206, 2502)(1207, 2503)(1208, 2504)(1209, 2505)(1210, 2506)(1211, 2507)(1212, 2508)(1213, 2509)(1214, 2510)(1215, 2511)(1216, 2512)(1217, 2513)(1218, 2514)(1219, 2515)(1220, 2516)(1221, 2517)(1222, 2518)(1223, 2519)(1224, 2520)(1225, 2521)(1226, 2522)(1227, 2523)(1228, 2524)(1229, 2525)(1230, 2526)(1231, 2527)(1232, 2528)(1233, 2529)(1234, 2530)(1235, 2531)(1236, 2532)(1237, 2533)(1238, 2534)(1239, 2535)(1240, 2536)(1241, 2537)(1242, 2538)(1243, 2539)(1244, 2540)(1245, 2541)(1246, 2542)(1247, 2543)(1248, 2544)(1249, 2545)(1250, 2546)(1251, 2547)(1252, 2548)(1253, 2549)(1254, 2550)(1255, 2551)(1256, 2552)(1257, 2553)(1258, 2554)(1259, 2555)(1260, 2556)(1261, 2557)(1262, 2558)(1263, 2559)(1264, 2560)(1265, 2561)(1266, 2562)(1267, 2563)(1268, 2564)(1269, 2565)(1270, 2566)(1271, 2567)(1272, 2568)(1273, 2569)(1274, 2570)(1275, 2571)(1276, 2572)(1277, 2573)(1278, 2574)(1279, 2575)(1280, 2576)(1281, 2577)(1282, 2578)(1283, 2579)(1284, 2580)(1285, 2581)(1286, 2582)(1287, 2583)(1288, 2584)(1289, 2585)(1290, 2586)(1291, 2587)(1292, 2588)(1293, 2589)(1294, 2590)(1295, 2591)(1296, 2592)
	local type(s) :: { ( 16, 16 ), ( 16^3 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 1080 e = 1296 f = 162
	degree seq :: [ 2^648, 3^432 ]

E28.3362 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 3, 8})
Quotient :: edge
Aut^+ = $<1296, 2889>$ (small group id <1296, 2889>)
Aut   = $<1296, 2889>$ (small group id <1296, 2889>)
|r| :: 1
Presentation :: [ X1^3, (X2 * X1)^2, (X2^-1 * X1^-1)^2, X1 * X2^2 * X1 * X2 * X1^-1 * X2, X2^8, X2^2 * X1^-1 * X2^2 * X1^-1 * X2^-4 * X1 * X2^-2 * X1 * X2^-1 * X1 * X2^-3 * X1, X2^-1 * X1 * X2^-3 * X1^-1 * X2^2 * X1 * X2^-3 * X1 * X2^-2 * X1 * X2^-1 * X1 * X2^2 * X1^-1, (X2^2 * X1^-1 * X2^-3 * X1 * X2^-4 * X1^-1)^2, (X2^3 * X1^-1)^6, X2 * X1^-1 * X2^-2 * X1 * X2^-2 * X1 * X2^-3 * X1 * X2^2 * X1^-1 * X2^-2 * X1 * X2^-2 * X1 * X2^-4 * X1^-1, X2^2 * X1^-1 * X2^-2 * X1 * X2^-2 * X1 * X2^-2 * X1 * X2^-4 * X1^-1 * X2^2 * X1^-1 * X2 * X1^-1 * X2^-3 * X1^-1, X2^2 * X1^-1 * X2^-2 * X1 * X2^-3 * X1^-1 * X2^2 * X1 * X2^-1 * X1 * X2^-3 * X1^-1 * X2^2 * X1^-1 * X2 * X1^-1 * X2^-2 * X1 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 4)(3, 8, 10)(5, 12, 6)(7, 15, 11)(9, 18, 20)(13, 25, 23)(14, 24, 28)(16, 31, 29)(17, 33, 21)(19, 36, 38)(22, 30, 42)(26, 47, 45)(27, 48, 50)(32, 56, 54)(34, 59, 57)(35, 61, 39)(37, 64, 65)(40, 58, 69)(41, 70, 71)(43, 46, 74)(44, 75, 51)(49, 81, 82)(52, 55, 86)(53, 87, 72)(60, 96, 94)(62, 99, 97)(63, 101, 66)(67, 98, 107)(68, 108, 109)(73, 114, 116)(76, 120, 118)(77, 79, 122)(78, 123, 117)(80, 126, 83)(84, 119, 132)(85, 133, 135)(88, 139, 137)(89, 91, 141)(90, 142, 136)(92, 95, 146)(93, 147, 110)(100, 156, 154)(102, 159, 157)(103, 161, 104)(105, 158, 165)(106, 166, 167)(111, 172, 112)(113, 138, 176)(115, 178, 179)(121, 185, 187)(124, 191, 189)(125, 192, 188)(127, 196, 194)(128, 198, 129)(130, 195, 202)(131, 203, 204)(134, 207, 208)(140, 214, 216)(143, 220, 218)(144, 221, 217)(145, 223, 225)(148, 229, 227)(149, 151, 231)(150, 232, 226)(152, 155, 236)(153, 237, 168)(160, 246, 244)(162, 249, 247)(163, 248, 252)(164, 253, 254)(169, 259, 170)(171, 228, 263)(173, 266, 264)(174, 265, 269)(175, 270, 271)(177, 273, 180)(181, 190, 279)(182, 184, 281)(183, 282, 205)(186, 286, 287)(193, 295, 293)(197, 300, 298)(199, 303, 301)(200, 302, 306)(201, 307, 308)(206, 313, 209)(210, 219, 319)(211, 213, 321)(212, 322, 272)(215, 326, 327)(222, 335, 333)(224, 337, 338)(230, 344, 346)(233, 350, 348)(234, 351, 347)(235, 353, 355)(238, 359, 357)(239, 241, 361)(240, 362, 356)(242, 245, 366)(243, 367, 255)(250, 376, 374)(251, 377, 378)(256, 383, 257)(258, 358, 387)(260, 390, 388)(261, 389, 393)(262, 394, 395)(267, 401, 399)(268, 402, 403)(274, 410, 408)(275, 412, 276)(277, 409, 416)(278, 417, 418)(280, 420, 422)(283, 426, 424)(284, 427, 423)(285, 429, 288)(289, 294, 435)(290, 292, 437)(291, 438, 419)(296, 299, 445)(297, 446, 309)(304, 455, 453)(305, 456, 457)(310, 462, 311)(312, 425, 466)(314, 469, 467)(315, 471, 316)(317, 468, 475)(318, 476, 477)(320, 479, 481)(323, 485, 483)(324, 486, 482)(325, 488, 328)(329, 334, 494)(330, 332, 496)(331, 497, 478)(336, 503, 339)(340, 349, 509)(341, 343, 511)(342, 512, 396)(345, 516, 517)(352, 525, 523)(354, 527, 528)(360, 534, 536)(363, 539, 537)(364, 448, 450)(365, 465, 542)(368, 545, 543)(369, 371, 472)(370, 547, 463)(372, 375, 470)(373, 549, 379)(380, 556, 381)(382, 544, 560)(384, 563, 561)(385, 562, 566)(386, 567, 568)(391, 451, 454)(392, 573, 574)(397, 400, 564)(398, 579, 404)(405, 586, 406)(407, 484, 590)(411, 519, 524)(413, 581, 582)(414, 594, 597)(415, 598, 599)(421, 603, 604)(428, 612, 610)(430, 501, 613)(431, 615, 432)(433, 614, 619)(434, 508, 493)(436, 620, 622)(439, 626, 624)(440, 627, 623)(441, 443, 630)(442, 631, 504)(444, 589, 635)(447, 638, 636)(449, 640, 587)(452, 642, 458)(459, 649, 460)(461, 637, 653)(464, 654, 656)(473, 661, 664)(474, 665, 666)(480, 669, 670)(487, 677, 675)(489, 521, 678)(490, 680, 491)(492, 679, 684)(495, 685, 687)(498, 691, 689)(499, 692, 688)(500, 502, 695)(505, 699, 506)(507, 698, 703)(510, 704, 706)(513, 710, 708)(514, 711, 707)(515, 713, 518)(520, 522, 719)(526, 625, 529)(530, 538, 601)(531, 533, 728)(532, 729, 569)(535, 732, 733)(540, 738, 639)(541, 739, 740)(546, 662, 745)(548, 747, 746)(550, 750, 748)(551, 552, 700)(553, 752, 554)(555, 749, 756)(557, 759, 757)(558, 758, 762)(559, 763, 764)(565, 769, 770)(570, 572, 760)(571, 775, 575)(576, 676, 577)(578, 709, 671)(580, 782, 780)(583, 784, 584)(585, 781, 788)(588, 789, 791)(591, 593, 794)(592, 795, 600)(595, 798, 783)(596, 799, 800)(602, 690, 605)(606, 611, 668)(607, 609, 809)(608, 810, 657)(616, 644, 645)(617, 817, 820)(618, 821, 822)(621, 825, 826)(628, 832, 831)(629, 833, 835)(632, 837, 836)(633, 725, 724)(634, 839, 840)(641, 846, 845)(643, 849, 847)(646, 851, 647)(648, 848, 855)(650, 797, 856)(651, 857, 859)(652, 860, 793)(655, 863, 734)(658, 660, 866)(659, 867, 667)(663, 870, 871)(672, 674, 879)(673, 880, 792)(681, 722, 723)(682, 887, 890)(683, 891, 892)(686, 895, 896)(693, 902, 901)(694, 903, 905)(696, 906, 815)(697, 806, 805)(701, 909, 912)(702, 913, 914)(705, 916, 917)(712, 924, 922)(714, 736, 925)(715, 927, 716)(717, 926, 931)(718, 932, 934)(720, 935, 885)(721, 876, 875)(726, 829, 940)(727, 941, 943)(730, 947, 945)(731, 948, 944)(735, 737, 954)(741, 743, 959)(742, 960, 765)(744, 963, 852)(751, 910, 968)(753, 971, 969)(754, 970, 889)(755, 973, 974)(761, 978, 907)(766, 768, 972)(767, 983, 771)(772, 923, 773)(774, 946, 918)(776, 990, 988)(777, 991, 778)(779, 989, 995)(785, 869, 999)(786, 1000, 1002)(787, 1003, 865)(790, 1006, 801)(796, 1011, 1009)(802, 1013, 803)(804, 1010, 1017)(807, 899, 1019)(808, 1020, 1022)(811, 1026, 1024)(812, 1027, 1023)(813, 814, 1029)(816, 1031, 823)(818, 976, 850)(819, 929, 1033)(824, 1025, 827)(828, 830, 1040)(834, 1043, 992)(838, 1001, 938)(841, 843, 1047)(842, 1048, 861)(844, 957, 928)(853, 1055, 911)(854, 1056, 964)(858, 1060, 936)(862, 1064, 864)(868, 1071, 1069)(872, 1072, 873)(874, 1070, 1076)(877, 920, 1078)(878, 1079, 1081)(881, 1085, 1083)(882, 1086, 1082)(883, 884, 1088)(886, 1090, 893)(888, 1058, 937)(894, 1084, 897)(898, 900, 1098)(904, 1101, 1014)(908, 1103, 915)(919, 921, 1112)(930, 1118, 1051)(933, 1120, 1073)(939, 1122, 1044)(942, 1057, 1053)(949, 1130, 1128)(950, 1012, 951)(952, 1066, 1095)(953, 1131, 1133)(955, 1134, 1116)(956, 1109, 1108)(958, 1135, 1137)(961, 1139, 1049)(962, 1140, 1138)(965, 967, 1144)(966, 1080, 975)(977, 1148, 979)(980, 1129, 981)(982, 1046, 1124)(984, 1152, 1150)(985, 1037, 986)(987, 1151, 1153)(993, 1157, 1042)(994, 1158, 1045)(996, 998, 1161)(997, 1136, 1004)(1005, 1164, 1007)(1008, 1062, 1166)(1015, 1168, 1100)(1016, 1169, 1030)(1018, 1171, 1102)(1021, 1119, 1117)(1028, 1177, 1178)(1032, 1180, 1113)(1034, 1181, 1035)(1036, 1111, 1184)(1038, 1175, 1186)(1039, 1187, 1094)(1041, 1091, 1123)(1050, 1191, 1190)(1052, 1054, 1195)(1059, 1198, 1061)(1063, 1160, 1173)(1065, 1202, 1200)(1067, 1201, 1203)(1068, 1163, 1204)(1074, 1205, 1115)(1075, 1206, 1089)(1077, 1208, 1121)(1087, 1210, 1211)(1092, 1213, 1093)(1096, 1154, 1156)(1097, 1217, 1107)(1099, 1104, 1172)(1105, 1219, 1106)(1110, 1126, 1167)(1114, 1225, 1224)(1125, 1127, 1170)(1132, 1233, 1220)(1141, 1237, 1235)(1142, 1197, 1238)(1143, 1183, 1239)(1145, 1240, 1182)(1146, 1236, 1147)(1149, 1242, 1241)(1155, 1209, 1159)(1162, 1250, 1249)(1165, 1252, 1251)(1174, 1176, 1207)(1179, 1246, 1244)(1185, 1259, 1258)(1188, 1230, 1261)(1189, 1248, 1257)(1192, 1254, 1262)(1193, 1228, 1263)(1194, 1215, 1255)(1196, 1264, 1214)(1199, 1266, 1265)(1212, 1267, 1231)(1216, 1247, 1270)(1218, 1256, 1272)(1221, 1273, 1232)(1222, 1269, 1227)(1223, 1253, 1234)(1226, 1268, 1274)(1229, 1243, 1245)(1260, 1284, 1278)(1271, 1288, 1285)(1275, 1281, 1290)(1276, 1289, 1287)(1277, 1279, 1280)(1282, 1283, 1286)(1291, 1293, 1295)(1292, 1294, 1296)(1297, 1299, 1305, 1315, 1333, 1322, 1309, 1301)(1298, 1302, 1310, 1323, 1345, 1328, 1312, 1303)(1300, 1307, 1318, 1337, 1356, 1330, 1313, 1304)(1306, 1317, 1336, 1364, 1396, 1358, 1331, 1314)(1308, 1319, 1339, 1369, 1411, 1372, 1340, 1320)(1311, 1325, 1348, 1381, 1430, 1384, 1349, 1326)(1316, 1335, 1363, 1402, 1456, 1398, 1359, 1332)(1321, 1341, 1373, 1417, 1482, 1420, 1374, 1342)(1324, 1347, 1380, 1427, 1493, 1423, 1376, 1344)(1327, 1350, 1385, 1436, 1511, 1439, 1386, 1351)(1329, 1353, 1388, 1441, 1520, 1444, 1389, 1354)(1334, 1362, 1401, 1460, 1546, 1458, 1399, 1360)(1338, 1368, 1409, 1471, 1563, 1469, 1407, 1366)(1343, 1361, 1400, 1459, 1547, 1489, 1421, 1375)(1346, 1379, 1426, 1497, 1600, 1495, 1424, 1377)(1352, 1378, 1425, 1496, 1601, 1518, 1440, 1387)(1355, 1390, 1445, 1526, 1641, 1529, 1446, 1391)(1357, 1393, 1448, 1531, 1650, 1534, 1449, 1394)(1365, 1406, 1467, 1558, 1687, 1556, 1465, 1404)(1367, 1408, 1470, 1564, 1648, 1530, 1447, 1392)(1370, 1413, 1477, 1574, 1707, 1570, 1473, 1410)(1371, 1414, 1478, 1576, 1717, 1579, 1479, 1415)(1382, 1432, 1506, 1614, 1766, 1610, 1502, 1429)(1383, 1433, 1507, 1616, 1776, 1619, 1508, 1434)(1395, 1450, 1535, 1656, 1831, 1659, 1536, 1451)(1397, 1453, 1538, 1661, 1837, 1664, 1539, 1454)(1403, 1464, 1554, 1682, 1860, 1680, 1552, 1462)(1405, 1466, 1557, 1688, 1836, 1660, 1537, 1452)(1412, 1476, 1573, 1711, 1891, 1709, 1571, 1474)(1416, 1475, 1572, 1710, 1892, 1724, 1580, 1480)(1418, 1484, 1585, 1730, 1790, 1726, 1581, 1481)(1419, 1485, 1586, 1732, 1917, 1735, 1587, 1486)(1422, 1490, 1592, 1740, 1930, 1743, 1593, 1491)(1428, 1501, 1608, 1761, 1662, 1759, 1606, 1499)(1431, 1505, 1613, 1770, 1958, 1768, 1611, 1503)(1435, 1504, 1612, 1769, 1959, 1783, 1620, 1509)(1437, 1513, 1625, 1789, 1805, 1785, 1621, 1510)(1438, 1514, 1626, 1791, 1982, 1794, 1627, 1515)(1442, 1522, 1636, 1804, 1731, 1800, 1632, 1519)(1443, 1523, 1637, 1806, 2001, 1809, 1638, 1524)(1455, 1540, 1665, 1842, 2040, 1844, 1666, 1541)(1457, 1543, 1668, 1773, 1964, 1846, 1669, 1544)(1461, 1551, 1678, 1855, 2056, 1853, 1676, 1549)(1463, 1553, 1681, 1861, 1957, 1767, 1667, 1542)(1468, 1560, 1693, 1864, 2069, 1876, 1694, 1561)(1472, 1568, 1703, 1885, 1741, 1883, 1701, 1566)(1483, 1584, 1729, 1914, 2114, 1912, 1727, 1582)(1487, 1583, 1728, 1913, 2115, 1924, 1736, 1588)(1488, 1589, 1737, 1925, 2130, 1928, 1738, 1590)(1492, 1594, 1744, 1935, 2140, 1937, 1745, 1595)(1494, 1597, 1747, 1691, 1873, 1939, 1748, 1598)(1498, 1605, 1757, 1948, 2090, 1946, 1755, 1603)(1500, 1607, 1760, 1951, 1830, 1657, 1746, 1596)(1512, 1624, 1788, 1979, 2184, 1977, 1786, 1622)(1516, 1623, 1787, 1978, 2185, 1989, 1795, 1628)(1517, 1629, 1796, 1990, 2200, 1992, 1797, 1630)(1521, 1635, 1803, 1998, 2206, 1996, 1801, 1633)(1525, 1634, 1802, 1997, 2207, 2008, 1810, 1639)(1527, 1643, 1815, 1714, 1897, 2010, 1811, 1640)(1528, 1644, 1816, 2014, 2229, 2016, 1817, 1645)(1532, 1652, 1826, 1713, 1575, 1715, 1822, 1649)(1533, 1653, 1827, 2023, 2238, 2026, 1828, 1654)(1545, 1670, 1847, 2047, 2165, 1956, 1765, 1671)(1548, 1675, 1851, 2051, 2268, 2049, 1849, 1673)(1550, 1677, 1854, 2057, 2205, 1995, 1848, 1672)(1555, 1684, 1866, 2060, 2277, 2072, 1867, 1685)(1559, 1692, 1874, 1775, 1617, 1778, 1872, 1690)(1562, 1695, 1877, 2079, 2267, 2064, 1859, 1696)(1565, 1700, 1881, 2083, 2162, 2081, 1879, 1698)(1567, 1702, 1884, 2086, 1890, 1708, 1878, 1697)(1569, 1704, 1887, 2089, 2304, 2092, 1888, 1705)(1577, 1719, 1902, 1772, 1615, 1774, 1898, 1716)(1578, 1720, 1903, 2104, 2317, 2107, 1904, 1721)(1591, 1674, 1850, 2050, 2186, 2134, 1929, 1739)(1599, 1749, 1940, 2146, 2055, 1868, 1686, 1750)(1602, 1754, 1944, 2150, 2043, 2148, 1942, 1752)(1604, 1756, 1947, 2154, 2113, 1911, 1941, 1751)(1609, 1763, 1954, 2161, 2364, 2164, 1955, 1764)(1618, 1779, 1968, 2174, 2376, 2177, 1969, 1780)(1631, 1753, 1943, 2149, 2208, 2203, 1993, 1798)(1642, 1814, 2013, 2226, 2142, 2224, 2011, 1812)(1646, 1813, 2012, 2225, 2116, 2232, 2017, 1818)(1647, 1819, 2018, 2233, 2093, 1889, 1706, 1820)(1651, 1825, 2022, 2235, 2129, 1926, 2020, 1823)(1655, 1824, 2021, 2234, 2298, 2245, 2027, 1829)(1658, 1833, 2031, 2249, 2428, 2251, 2032, 1834)(1663, 1839, 2037, 2254, 2432, 2257, 2038, 1840)(1679, 1857, 2062, 2270, 2443, 2280, 2063, 1858)(1683, 1865, 2070, 2000, 1807, 2003, 2068, 1863)(1689, 1871, 2075, 2290, 2133, 2288, 2073, 1869)(1699, 1880, 2082, 2297, 2183, 1976, 2019, 1821)(1712, 1896, 2100, 2312, 2202, 2310, 2098, 1894)(1718, 1901, 2103, 2314, 2199, 1991, 2101, 1899)(1722, 1900, 2102, 2274, 2058, 2275, 2108, 1905)(1723, 1906, 2109, 2324, 2441, 2263, 2046, 1907)(1725, 1909, 2111, 2326, 2475, 2328, 2112, 1910)(1733, 1919, 2035, 1838, 1762, 1953, 2120, 1916)(1734, 1920, 2124, 2335, 2386, 2337, 2125, 1921)(1742, 1932, 2137, 2342, 2256, 2345, 2138, 1933)(1758, 1843, 2042, 2260, 2438, 2361, 2158, 1950)(1771, 1963, 2170, 2371, 2231, 2369, 2168, 1961)(1777, 1967, 2173, 2373, 2228, 2015, 2171, 1965)(1781, 1966, 2172, 2356, 2155, 2357, 2178, 1970)(1782, 1971, 2179, 2383, 2492, 2350, 2145, 1972)(1784, 1974, 2181, 2385, 2508, 2387, 2182, 1975)(1792, 1984, 2135, 1931, 1886, 2088, 2190, 1981)(1793, 1985, 2194, 2393, 2399, 2395, 2195, 1986)(1799, 1927, 2132, 2341, 2485, 2400, 2204, 1994)(1808, 2004, 2215, 2407, 2327, 2409, 2216, 2005)(1832, 2030, 2248, 2180, 1973, 2167, 2246, 2028)(1835, 2029, 2247, 2095, 1893, 2097, 2252, 2033)(1841, 2036, 1923, 2127, 2338, 2437, 2258, 2039)(1845, 2044, 2261, 2439, 2505, 2381, 2262, 2045)(1852, 2053, 2272, 2118, 2331, 2445, 2273, 2054)(1856, 2061, 2278, 2237, 2024, 2240, 2276, 2059)(1862, 2067, 2283, 2126, 1922, 2122, 2281, 2065)(1870, 2074, 2289, 2128, 2329, 2223, 2253, 2034)(1875, 2076, 2292, 2456, 2344, 2435, 2293, 2077)(1882, 1936, 2141, 2347, 2489, 2461, 2301, 2085)(1895, 2099, 2311, 2198, 2266, 2048, 2265, 2094)(1908, 2096, 2308, 2166, 1960, 2066, 2282, 2110)(1915, 2119, 2332, 2479, 2440, 2478, 2330, 2117)(1918, 2123, 2334, 2481, 2473, 2325, 2333, 2121)(1934, 2136, 1988, 2197, 2396, 2488, 2346, 2139)(1938, 2143, 2348, 2490, 2423, 2243, 2349, 2144)(1945, 2152, 2354, 2188, 2389, 2495, 2355, 2153)(1949, 2157, 2359, 2316, 2105, 2319, 2358, 2156)(1952, 2160, 2363, 2196, 1987, 2192, 2362, 2159)(1962, 2169, 2370, 2220, 2351, 2147, 2259, 2041)(1980, 2189, 2390, 2511, 2491, 2510, 2388, 2187)(1983, 2193, 2392, 2512, 2506, 2384, 2391, 2191)(1999, 2211, 2403, 2518, 2430, 2516, 2401, 2209)(2002, 2214, 2406, 2519, 2427, 2250, 2404, 2212)(2006, 2213, 2405, 2302, 2087, 2303, 2410, 2217)(2007, 2218, 2411, 2522, 2458, 2294, 2078, 2219)(2009, 2221, 2412, 2523, 2472, 2322, 2413, 2222)(2025, 2241, 2421, 2306, 2091, 2305, 2422, 2242)(2052, 2271, 2377, 2431, 2255, 2434, 2442, 2269)(2071, 2284, 2450, 2380, 2176, 2379, 2451, 2285)(2080, 2295, 2264, 2210, 2402, 2517, 2426, 2296)(2084, 2300, 2433, 2375, 2175, 2378, 2459, 2299)(2106, 2320, 2470, 2366, 2163, 2365, 2471, 2321)(2131, 2340, 2484, 2556, 2533, 2453, 2287, 2339)(2151, 2353, 2239, 2420, 2343, 2486, 2493, 2352)(2201, 2398, 2514, 2567, 2550, 2464, 2309, 2397)(2227, 2415, 2318, 2469, 2457, 2545, 2524, 2414)(2230, 2417, 2525, 2571, 2564, 2501, 2368, 2416)(2236, 2419, 2527, 2497, 2360, 2496, 2526, 2418)(2244, 2424, 2528, 2572, 2543, 2452, 2286, 2425)(2279, 2446, 2539, 2504, 2374, 2476, 2540, 2447)(2291, 2455, 2535, 2480, 2408, 2520, 2544, 2454)(2307, 2462, 2323, 2444, 2537, 2575, 2549, 2463)(2313, 2466, 2551, 2483, 2336, 2449, 2542, 2465)(2315, 2468, 2553, 2521, 2460, 2547, 2552, 2467)(2367, 2500, 2382, 2494, 2561, 2579, 2555, 2482)(2372, 2503, 2565, 2513, 2394, 2499, 2563, 2502)(2429, 2530, 2573, 2587, 2585, 2569, 2515, 2529)(2436, 2531, 2574, 2588, 2577, 2541, 2448, 2532)(2474, 2554, 2578, 2589, 2576, 2538, 2477, 2536)(2487, 2558, 2581, 2590, 2580, 2557, 2498, 2534)(2507, 2566, 2583, 2591, 2582, 2562, 2509, 2560)(2546, 2570, 2586, 2592, 2584, 2568, 2548, 2559)
	L = (1, 1297)(2, 1298)(3, 1299)(4, 1300)(5, 1301)(6, 1302)(7, 1303)(8, 1304)(9, 1305)(10, 1306)(11, 1307)(12, 1308)(13, 1309)(14, 1310)(15, 1311)(16, 1312)(17, 1313)(18, 1314)(19, 1315)(20, 1316)(21, 1317)(22, 1318)(23, 1319)(24, 1320)(25, 1321)(26, 1322)(27, 1323)(28, 1324)(29, 1325)(30, 1326)(31, 1327)(32, 1328)(33, 1329)(34, 1330)(35, 1331)(36, 1332)(37, 1333)(38, 1334)(39, 1335)(40, 1336)(41, 1337)(42, 1338)(43, 1339)(44, 1340)(45, 1341)(46, 1342)(47, 1343)(48, 1344)(49, 1345)(50, 1346)(51, 1347)(52, 1348)(53, 1349)(54, 1350)(55, 1351)(56, 1352)(57, 1353)(58, 1354)(59, 1355)(60, 1356)(61, 1357)(62, 1358)(63, 1359)(64, 1360)(65, 1361)(66, 1362)(67, 1363)(68, 1364)(69, 1365)(70, 1366)(71, 1367)(72, 1368)(73, 1369)(74, 1370)(75, 1371)(76, 1372)(77, 1373)(78, 1374)(79, 1375)(80, 1376)(81, 1377)(82, 1378)(83, 1379)(84, 1380)(85, 1381)(86, 1382)(87, 1383)(88, 1384)(89, 1385)(90, 1386)(91, 1387)(92, 1388)(93, 1389)(94, 1390)(95, 1391)(96, 1392)(97, 1393)(98, 1394)(99, 1395)(100, 1396)(101, 1397)(102, 1398)(103, 1399)(104, 1400)(105, 1401)(106, 1402)(107, 1403)(108, 1404)(109, 1405)(110, 1406)(111, 1407)(112, 1408)(113, 1409)(114, 1410)(115, 1411)(116, 1412)(117, 1413)(118, 1414)(119, 1415)(120, 1416)(121, 1417)(122, 1418)(123, 1419)(124, 1420)(125, 1421)(126, 1422)(127, 1423)(128, 1424)(129, 1425)(130, 1426)(131, 1427)(132, 1428)(133, 1429)(134, 1430)(135, 1431)(136, 1432)(137, 1433)(138, 1434)(139, 1435)(140, 1436)(141, 1437)(142, 1438)(143, 1439)(144, 1440)(145, 1441)(146, 1442)(147, 1443)(148, 1444)(149, 1445)(150, 1446)(151, 1447)(152, 1448)(153, 1449)(154, 1450)(155, 1451)(156, 1452)(157, 1453)(158, 1454)(159, 1455)(160, 1456)(161, 1457)(162, 1458)(163, 1459)(164, 1460)(165, 1461)(166, 1462)(167, 1463)(168, 1464)(169, 1465)(170, 1466)(171, 1467)(172, 1468)(173, 1469)(174, 1470)(175, 1471)(176, 1472)(177, 1473)(178, 1474)(179, 1475)(180, 1476)(181, 1477)(182, 1478)(183, 1479)(184, 1480)(185, 1481)(186, 1482)(187, 1483)(188, 1484)(189, 1485)(190, 1486)(191, 1487)(192, 1488)(193, 1489)(194, 1490)(195, 1491)(196, 1492)(197, 1493)(198, 1494)(199, 1495)(200, 1496)(201, 1497)(202, 1498)(203, 1499)(204, 1500)(205, 1501)(206, 1502)(207, 1503)(208, 1504)(209, 1505)(210, 1506)(211, 1507)(212, 1508)(213, 1509)(214, 1510)(215, 1511)(216, 1512)(217, 1513)(218, 1514)(219, 1515)(220, 1516)(221, 1517)(222, 1518)(223, 1519)(224, 1520)(225, 1521)(226, 1522)(227, 1523)(228, 1524)(229, 1525)(230, 1526)(231, 1527)(232, 1528)(233, 1529)(234, 1530)(235, 1531)(236, 1532)(237, 1533)(238, 1534)(239, 1535)(240, 1536)(241, 1537)(242, 1538)(243, 1539)(244, 1540)(245, 1541)(246, 1542)(247, 1543)(248, 1544)(249, 1545)(250, 1546)(251, 1547)(252, 1548)(253, 1549)(254, 1550)(255, 1551)(256, 1552)(257, 1553)(258, 1554)(259, 1555)(260, 1556)(261, 1557)(262, 1558)(263, 1559)(264, 1560)(265, 1561)(266, 1562)(267, 1563)(268, 1564)(269, 1565)(270, 1566)(271, 1567)(272, 1568)(273, 1569)(274, 1570)(275, 1571)(276, 1572)(277, 1573)(278, 1574)(279, 1575)(280, 1576)(281, 1577)(282, 1578)(283, 1579)(284, 1580)(285, 1581)(286, 1582)(287, 1583)(288, 1584)(289, 1585)(290, 1586)(291, 1587)(292, 1588)(293, 1589)(294, 1590)(295, 1591)(296, 1592)(297, 1593)(298, 1594)(299, 1595)(300, 1596)(301, 1597)(302, 1598)(303, 1599)(304, 1600)(305, 1601)(306, 1602)(307, 1603)(308, 1604)(309, 1605)(310, 1606)(311, 1607)(312, 1608)(313, 1609)(314, 1610)(315, 1611)(316, 1612)(317, 1613)(318, 1614)(319, 1615)(320, 1616)(321, 1617)(322, 1618)(323, 1619)(324, 1620)(325, 1621)(326, 1622)(327, 1623)(328, 1624)(329, 1625)(330, 1626)(331, 1627)(332, 1628)(333, 1629)(334, 1630)(335, 1631)(336, 1632)(337, 1633)(338, 1634)(339, 1635)(340, 1636)(341, 1637)(342, 1638)(343, 1639)(344, 1640)(345, 1641)(346, 1642)(347, 1643)(348, 1644)(349, 1645)(350, 1646)(351, 1647)(352, 1648)(353, 1649)(354, 1650)(355, 1651)(356, 1652)(357, 1653)(358, 1654)(359, 1655)(360, 1656)(361, 1657)(362, 1658)(363, 1659)(364, 1660)(365, 1661)(366, 1662)(367, 1663)(368, 1664)(369, 1665)(370, 1666)(371, 1667)(372, 1668)(373, 1669)(374, 1670)(375, 1671)(376, 1672)(377, 1673)(378, 1674)(379, 1675)(380, 1676)(381, 1677)(382, 1678)(383, 1679)(384, 1680)(385, 1681)(386, 1682)(387, 1683)(388, 1684)(389, 1685)(390, 1686)(391, 1687)(392, 1688)(393, 1689)(394, 1690)(395, 1691)(396, 1692)(397, 1693)(398, 1694)(399, 1695)(400, 1696)(401, 1697)(402, 1698)(403, 1699)(404, 1700)(405, 1701)(406, 1702)(407, 1703)(408, 1704)(409, 1705)(410, 1706)(411, 1707)(412, 1708)(413, 1709)(414, 1710)(415, 1711)(416, 1712)(417, 1713)(418, 1714)(419, 1715)(420, 1716)(421, 1717)(422, 1718)(423, 1719)(424, 1720)(425, 1721)(426, 1722)(427, 1723)(428, 1724)(429, 1725)(430, 1726)(431, 1727)(432, 1728)(433, 1729)(434, 1730)(435, 1731)(436, 1732)(437, 1733)(438, 1734)(439, 1735)(440, 1736)(441, 1737)(442, 1738)(443, 1739)(444, 1740)(445, 1741)(446, 1742)(447, 1743)(448, 1744)(449, 1745)(450, 1746)(451, 1747)(452, 1748)(453, 1749)(454, 1750)(455, 1751)(456, 1752)(457, 1753)(458, 1754)(459, 1755)(460, 1756)(461, 1757)(462, 1758)(463, 1759)(464, 1760)(465, 1761)(466, 1762)(467, 1763)(468, 1764)(469, 1765)(470, 1766)(471, 1767)(472, 1768)(473, 1769)(474, 1770)(475, 1771)(476, 1772)(477, 1773)(478, 1774)(479, 1775)(480, 1776)(481, 1777)(482, 1778)(483, 1779)(484, 1780)(485, 1781)(486, 1782)(487, 1783)(488, 1784)(489, 1785)(490, 1786)(491, 1787)(492, 1788)(493, 1789)(494, 1790)(495, 1791)(496, 1792)(497, 1793)(498, 1794)(499, 1795)(500, 1796)(501, 1797)(502, 1798)(503, 1799)(504, 1800)(505, 1801)(506, 1802)(507, 1803)(508, 1804)(509, 1805)(510, 1806)(511, 1807)(512, 1808)(513, 1809)(514, 1810)(515, 1811)(516, 1812)(517, 1813)(518, 1814)(519, 1815)(520, 1816)(521, 1817)(522, 1818)(523, 1819)(524, 1820)(525, 1821)(526, 1822)(527, 1823)(528, 1824)(529, 1825)(530, 1826)(531, 1827)(532, 1828)(533, 1829)(534, 1830)(535, 1831)(536, 1832)(537, 1833)(538, 1834)(539, 1835)(540, 1836)(541, 1837)(542, 1838)(543, 1839)(544, 1840)(545, 1841)(546, 1842)(547, 1843)(548, 1844)(549, 1845)(550, 1846)(551, 1847)(552, 1848)(553, 1849)(554, 1850)(555, 1851)(556, 1852)(557, 1853)(558, 1854)(559, 1855)(560, 1856)(561, 1857)(562, 1858)(563, 1859)(564, 1860)(565, 1861)(566, 1862)(567, 1863)(568, 1864)(569, 1865)(570, 1866)(571, 1867)(572, 1868)(573, 1869)(574, 1870)(575, 1871)(576, 1872)(577, 1873)(578, 1874)(579, 1875)(580, 1876)(581, 1877)(582, 1878)(583, 1879)(584, 1880)(585, 1881)(586, 1882)(587, 1883)(588, 1884)(589, 1885)(590, 1886)(591, 1887)(592, 1888)(593, 1889)(594, 1890)(595, 1891)(596, 1892)(597, 1893)(598, 1894)(599, 1895)(600, 1896)(601, 1897)(602, 1898)(603, 1899)(604, 1900)(605, 1901)(606, 1902)(607, 1903)(608, 1904)(609, 1905)(610, 1906)(611, 1907)(612, 1908)(613, 1909)(614, 1910)(615, 1911)(616, 1912)(617, 1913)(618, 1914)(619, 1915)(620, 1916)(621, 1917)(622, 1918)(623, 1919)(624, 1920)(625, 1921)(626, 1922)(627, 1923)(628, 1924)(629, 1925)(630, 1926)(631, 1927)(632, 1928)(633, 1929)(634, 1930)(635, 1931)(636, 1932)(637, 1933)(638, 1934)(639, 1935)(640, 1936)(641, 1937)(642, 1938)(643, 1939)(644, 1940)(645, 1941)(646, 1942)(647, 1943)(648, 1944)(649, 1945)(650, 1946)(651, 1947)(652, 1948)(653, 1949)(654, 1950)(655, 1951)(656, 1952)(657, 1953)(658, 1954)(659, 1955)(660, 1956)(661, 1957)(662, 1958)(663, 1959)(664, 1960)(665, 1961)(666, 1962)(667, 1963)(668, 1964)(669, 1965)(670, 1966)(671, 1967)(672, 1968)(673, 1969)(674, 1970)(675, 1971)(676, 1972)(677, 1973)(678, 1974)(679, 1975)(680, 1976)(681, 1977)(682, 1978)(683, 1979)(684, 1980)(685, 1981)(686, 1982)(687, 1983)(688, 1984)(689, 1985)(690, 1986)(691, 1987)(692, 1988)(693, 1989)(694, 1990)(695, 1991)(696, 1992)(697, 1993)(698, 1994)(699, 1995)(700, 1996)(701, 1997)(702, 1998)(703, 1999)(704, 2000)(705, 2001)(706, 2002)(707, 2003)(708, 2004)(709, 2005)(710, 2006)(711, 2007)(712, 2008)(713, 2009)(714, 2010)(715, 2011)(716, 2012)(717, 2013)(718, 2014)(719, 2015)(720, 2016)(721, 2017)(722, 2018)(723, 2019)(724, 2020)(725, 2021)(726, 2022)(727, 2023)(728, 2024)(729, 2025)(730, 2026)(731, 2027)(732, 2028)(733, 2029)(734, 2030)(735, 2031)(736, 2032)(737, 2033)(738, 2034)(739, 2035)(740, 2036)(741, 2037)(742, 2038)(743, 2039)(744, 2040)(745, 2041)(746, 2042)(747, 2043)(748, 2044)(749, 2045)(750, 2046)(751, 2047)(752, 2048)(753, 2049)(754, 2050)(755, 2051)(756, 2052)(757, 2053)(758, 2054)(759, 2055)(760, 2056)(761, 2057)(762, 2058)(763, 2059)(764, 2060)(765, 2061)(766, 2062)(767, 2063)(768, 2064)(769, 2065)(770, 2066)(771, 2067)(772, 2068)(773, 2069)(774, 2070)(775, 2071)(776, 2072)(777, 2073)(778, 2074)(779, 2075)(780, 2076)(781, 2077)(782, 2078)(783, 2079)(784, 2080)(785, 2081)(786, 2082)(787, 2083)(788, 2084)(789, 2085)(790, 2086)(791, 2087)(792, 2088)(793, 2089)(794, 2090)(795, 2091)(796, 2092)(797, 2093)(798, 2094)(799, 2095)(800, 2096)(801, 2097)(802, 2098)(803, 2099)(804, 2100)(805, 2101)(806, 2102)(807, 2103)(808, 2104)(809, 2105)(810, 2106)(811, 2107)(812, 2108)(813, 2109)(814, 2110)(815, 2111)(816, 2112)(817, 2113)(818, 2114)(819, 2115)(820, 2116)(821, 2117)(822, 2118)(823, 2119)(824, 2120)(825, 2121)(826, 2122)(827, 2123)(828, 2124)(829, 2125)(830, 2126)(831, 2127)(832, 2128)(833, 2129)(834, 2130)(835, 2131)(836, 2132)(837, 2133)(838, 2134)(839, 2135)(840, 2136)(841, 2137)(842, 2138)(843, 2139)(844, 2140)(845, 2141)(846, 2142)(847, 2143)(848, 2144)(849, 2145)(850, 2146)(851, 2147)(852, 2148)(853, 2149)(854, 2150)(855, 2151)(856, 2152)(857, 2153)(858, 2154)(859, 2155)(860, 2156)(861, 2157)(862, 2158)(863, 2159)(864, 2160)(865, 2161)(866, 2162)(867, 2163)(868, 2164)(869, 2165)(870, 2166)(871, 2167)(872, 2168)(873, 2169)(874, 2170)(875, 2171)(876, 2172)(877, 2173)(878, 2174)(879, 2175)(880, 2176)(881, 2177)(882, 2178)(883, 2179)(884, 2180)(885, 2181)(886, 2182)(887, 2183)(888, 2184)(889, 2185)(890, 2186)(891, 2187)(892, 2188)(893, 2189)(894, 2190)(895, 2191)(896, 2192)(897, 2193)(898, 2194)(899, 2195)(900, 2196)(901, 2197)(902, 2198)(903, 2199)(904, 2200)(905, 2201)(906, 2202)(907, 2203)(908, 2204)(909, 2205)(910, 2206)(911, 2207)(912, 2208)(913, 2209)(914, 2210)(915, 2211)(916, 2212)(917, 2213)(918, 2214)(919, 2215)(920, 2216)(921, 2217)(922, 2218)(923, 2219)(924, 2220)(925, 2221)(926, 2222)(927, 2223)(928, 2224)(929, 2225)(930, 2226)(931, 2227)(932, 2228)(933, 2229)(934, 2230)(935, 2231)(936, 2232)(937, 2233)(938, 2234)(939, 2235)(940, 2236)(941, 2237)(942, 2238)(943, 2239)(944, 2240)(945, 2241)(946, 2242)(947, 2243)(948, 2244)(949, 2245)(950, 2246)(951, 2247)(952, 2248)(953, 2249)(954, 2250)(955, 2251)(956, 2252)(957, 2253)(958, 2254)(959, 2255)(960, 2256)(961, 2257)(962, 2258)(963, 2259)(964, 2260)(965, 2261)(966, 2262)(967, 2263)(968, 2264)(969, 2265)(970, 2266)(971, 2267)(972, 2268)(973, 2269)(974, 2270)(975, 2271)(976, 2272)(977, 2273)(978, 2274)(979, 2275)(980, 2276)(981, 2277)(982, 2278)(983, 2279)(984, 2280)(985, 2281)(986, 2282)(987, 2283)(988, 2284)(989, 2285)(990, 2286)(991, 2287)(992, 2288)(993, 2289)(994, 2290)(995, 2291)(996, 2292)(997, 2293)(998, 2294)(999, 2295)(1000, 2296)(1001, 2297)(1002, 2298)(1003, 2299)(1004, 2300)(1005, 2301)(1006, 2302)(1007, 2303)(1008, 2304)(1009, 2305)(1010, 2306)(1011, 2307)(1012, 2308)(1013, 2309)(1014, 2310)(1015, 2311)(1016, 2312)(1017, 2313)(1018, 2314)(1019, 2315)(1020, 2316)(1021, 2317)(1022, 2318)(1023, 2319)(1024, 2320)(1025, 2321)(1026, 2322)(1027, 2323)(1028, 2324)(1029, 2325)(1030, 2326)(1031, 2327)(1032, 2328)(1033, 2329)(1034, 2330)(1035, 2331)(1036, 2332)(1037, 2333)(1038, 2334)(1039, 2335)(1040, 2336)(1041, 2337)(1042, 2338)(1043, 2339)(1044, 2340)(1045, 2341)(1046, 2342)(1047, 2343)(1048, 2344)(1049, 2345)(1050, 2346)(1051, 2347)(1052, 2348)(1053, 2349)(1054, 2350)(1055, 2351)(1056, 2352)(1057, 2353)(1058, 2354)(1059, 2355)(1060, 2356)(1061, 2357)(1062, 2358)(1063, 2359)(1064, 2360)(1065, 2361)(1066, 2362)(1067, 2363)(1068, 2364)(1069, 2365)(1070, 2366)(1071, 2367)(1072, 2368)(1073, 2369)(1074, 2370)(1075, 2371)(1076, 2372)(1077, 2373)(1078, 2374)(1079, 2375)(1080, 2376)(1081, 2377)(1082, 2378)(1083, 2379)(1084, 2380)(1085, 2381)(1086, 2382)(1087, 2383)(1088, 2384)(1089, 2385)(1090, 2386)(1091, 2387)(1092, 2388)(1093, 2389)(1094, 2390)(1095, 2391)(1096, 2392)(1097, 2393)(1098, 2394)(1099, 2395)(1100, 2396)(1101, 2397)(1102, 2398)(1103, 2399)(1104, 2400)(1105, 2401)(1106, 2402)(1107, 2403)(1108, 2404)(1109, 2405)(1110, 2406)(1111, 2407)(1112, 2408)(1113, 2409)(1114, 2410)(1115, 2411)(1116, 2412)(1117, 2413)(1118, 2414)(1119, 2415)(1120, 2416)(1121, 2417)(1122, 2418)(1123, 2419)(1124, 2420)(1125, 2421)(1126, 2422)(1127, 2423)(1128, 2424)(1129, 2425)(1130, 2426)(1131, 2427)(1132, 2428)(1133, 2429)(1134, 2430)(1135, 2431)(1136, 2432)(1137, 2433)(1138, 2434)(1139, 2435)(1140, 2436)(1141, 2437)(1142, 2438)(1143, 2439)(1144, 2440)(1145, 2441)(1146, 2442)(1147, 2443)(1148, 2444)(1149, 2445)(1150, 2446)(1151, 2447)(1152, 2448)(1153, 2449)(1154, 2450)(1155, 2451)(1156, 2452)(1157, 2453)(1158, 2454)(1159, 2455)(1160, 2456)(1161, 2457)(1162, 2458)(1163, 2459)(1164, 2460)(1165, 2461)(1166, 2462)(1167, 2463)(1168, 2464)(1169, 2465)(1170, 2466)(1171, 2467)(1172, 2468)(1173, 2469)(1174, 2470)(1175, 2471)(1176, 2472)(1177, 2473)(1178, 2474)(1179, 2475)(1180, 2476)(1181, 2477)(1182, 2478)(1183, 2479)(1184, 2480)(1185, 2481)(1186, 2482)(1187, 2483)(1188, 2484)(1189, 2485)(1190, 2486)(1191, 2487)(1192, 2488)(1193, 2489)(1194, 2490)(1195, 2491)(1196, 2492)(1197, 2493)(1198, 2494)(1199, 2495)(1200, 2496)(1201, 2497)(1202, 2498)(1203, 2499)(1204, 2500)(1205, 2501)(1206, 2502)(1207, 2503)(1208, 2504)(1209, 2505)(1210, 2506)(1211, 2507)(1212, 2508)(1213, 2509)(1214, 2510)(1215, 2511)(1216, 2512)(1217, 2513)(1218, 2514)(1219, 2515)(1220, 2516)(1221, 2517)(1222, 2518)(1223, 2519)(1224, 2520)(1225, 2521)(1226, 2522)(1227, 2523)(1228, 2524)(1229, 2525)(1230, 2526)(1231, 2527)(1232, 2528)(1233, 2529)(1234, 2530)(1235, 2531)(1236, 2532)(1237, 2533)(1238, 2534)(1239, 2535)(1240, 2536)(1241, 2537)(1242, 2538)(1243, 2539)(1244, 2540)(1245, 2541)(1246, 2542)(1247, 2543)(1248, 2544)(1249, 2545)(1250, 2546)(1251, 2547)(1252, 2548)(1253, 2549)(1254, 2550)(1255, 2551)(1256, 2552)(1257, 2553)(1258, 2554)(1259, 2555)(1260, 2556)(1261, 2557)(1262, 2558)(1263, 2559)(1264, 2560)(1265, 2561)(1266, 2562)(1267, 2563)(1268, 2564)(1269, 2565)(1270, 2566)(1271, 2567)(1272, 2568)(1273, 2569)(1274, 2570)(1275, 2571)(1276, 2572)(1277, 2573)(1278, 2574)(1279, 2575)(1280, 2576)(1281, 2577)(1282, 2578)(1283, 2579)(1284, 2580)(1285, 2581)(1286, 2582)(1287, 2583)(1288, 2584)(1289, 2585)(1290, 2586)(1291, 2587)(1292, 2588)(1293, 2589)(1294, 2590)(1295, 2591)(1296, 2592)
	local type(s) :: { ( 4^3 ), ( 4^8 ) }
Outer automorphisms :: chiral
Dual of E28.3364
Transitivity :: ET+
Graph:: simple bipartite
	v = 594 e = 1296 f = 648
	degree seq :: [ 3^432, 8^162 ]

E28.3363 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 3, 8})
Quotient :: edge
Aut^+ = $<1296, 2889>$ (small group id <1296, 2889>)
Aut   = $<1296, 2889>$ (small group id <1296, 2889>)
|r| :: 1
Presentation :: [ X2^2, (X1^-1 * X2)^3, X1^8, X1^-1 * X2 * X1^3 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-3 * X2 * X1^2 * X2 * X1^-1, X2 * X1^3 * X2 * X1^-3 * X2 * X1^3 * X2 * X1^-3 * X2 * X1 * X2 * X1^-2 * X2 * X1^2 * X2 * X1^-1, X2 * X1 * X2 * X1^-1 * X2 * X1^2 * X2 * X1^3 * X2 * X1^-4 * X2 * X1^-3 * X2 * X1^-2 * X2 * X1^2 * X2 * X1^-3 ]
Map:: polytopal
	R = (1, 2, 5, 11, 21, 20, 10, 4)(3, 7, 15, 27, 45, 31, 17, 8)(6, 13, 25, 41, 66, 44, 26, 14)(9, 18, 32, 52, 77, 49, 29, 16)(12, 23, 39, 62, 95, 65, 40, 24)(19, 34, 55, 85, 126, 84, 54, 33)(22, 37, 60, 91, 137, 94, 61, 38)(28, 47, 74, 111, 165, 114, 75, 48)(30, 50, 78, 117, 154, 103, 68, 42)(35, 57, 88, 131, 192, 130, 87, 56)(36, 58, 89, 133, 195, 136, 90, 59)(43, 69, 104, 155, 212, 145, 97, 63)(46, 72, 109, 161, 235, 164, 110, 73)(51, 80, 120, 177, 256, 176, 119, 79)(53, 82, 123, 181, 263, 184, 124, 83)(64, 98, 146, 213, 294, 203, 139, 92)(67, 101, 151, 219, 317, 222, 152, 102)(70, 106, 158, 229, 330, 228, 157, 105)(71, 107, 159, 231, 333, 234, 160, 108)(76, 115, 170, 247, 350, 243, 167, 112)(81, 121, 179, 259, 372, 262, 180, 122)(86, 128, 189, 273, 392, 276, 190, 129)(93, 140, 204, 295, 409, 285, 197, 134)(96, 143, 209, 301, 432, 304, 210, 144)(99, 148, 216, 311, 445, 310, 215, 147)(100, 149, 217, 313, 448, 316, 218, 150)(113, 168, 244, 351, 408, 341, 237, 162)(116, 172, 250, 359, 505, 358, 249, 171)(118, 174, 253, 363, 510, 366, 254, 175)(125, 185, 268, 384, 518, 380, 265, 182)(127, 187, 271, 388, 537, 391, 272, 188)(132, 135, 198, 286, 410, 403, 281, 194)(138, 201, 291, 416, 810, 419, 292, 202)(141, 206, 298, 426, 822, 425, 297, 205)(142, 207, 299, 428, 825, 431, 300, 208)(153, 223, 322, 460, 402, 456, 319, 220)(156, 226, 327, 466, 701, 469, 328, 227)(163, 238, 342, 485, 814, 421, 335, 232)(166, 241, 347, 491, 899, 494, 348, 242)(169, 246, 354, 499, 683, 498, 353, 245)(173, 251, 361, 506, 911, 509, 362, 252)(178, 233, 336, 477, 678, 519, 371, 258)(183, 266, 381, 417, 293, 420, 374, 260)(186, 270, 387, 508, 881, 536, 386, 269)(191, 277, 397, 547, 909, 544, 394, 274)(193, 279, 400, 550, 851, 551, 401, 280)(196, 283, 406, 795, 757, 955, 407, 284)(199, 288, 413, 803, 965, 555, 412, 287)(200, 289, 414, 805, 1149, 679, 415, 290)(211, 305, 437, 389, 275, 395, 434, 302)(214, 308, 442, 841, 748, 636, 443, 309)(221, 320, 457, 843, 484, 630, 450, 314)(224, 324, 463, 390, 539, 583, 462, 323)(225, 325, 464, 868, 1246, 834, 465, 326)(230, 315, 451, 627, 672, 845, 474, 332)(236, 339, 482, 887, 755, 815, 483, 340)(239, 344, 488, 894, 781, 562, 487, 343)(240, 345, 489, 895, 1170, 702, 490, 346)(248, 356, 502, 726, 644, 715, 503, 357)(255, 367, 515, 869, 468, 565, 512, 364)(257, 369, 517, 920, 775, 917, 446, 370)(261, 375, 523, 714, 438, 306, 439, 360)(264, 378, 528, 931, 1151, 682, 529, 379)(267, 383, 533, 796, 648, 586, 532, 382)(278, 399, 500, 897, 1110, 637, 549, 398)(282, 404, 582, 1024, 1144, 673, 625, 405)(296, 423, 817, 1236, 833, 604, 1057, 424)(303, 435, 639, 1112, 859, 552, 954, 429)(307, 440, 676, 1145, 1296, 476, 334, 441)(312, 430, 827, 653, 635, 516, 368, 447)(318, 454, 857, 1252, 848, 761, 725, 455)(321, 459, 862, 1173, 707, 570, 999, 458)(329, 470, 872, 1146, 844, 559, 818, 467)(331, 472, 355, 501, 699, 1167, 823, 473)(337, 479, 882, 1253, 958, 553, 956, 478)(338, 480, 561, 977, 1206, 759, 691, 481)(349, 495, 903, 507, 365, 513, 695, 492)(352, 496, 905, 1182, 721, 652, 1127, 497)(373, 521, 891, 1179, 717, 743, 797, 522)(376, 525, 926, 1267, 946, 558, 972, 524)(377, 526, 585, 1030, 1215, 777, 896, 527)(385, 534, 937, 791, 616, 765, 941, 535)(393, 542, 867, 1257, 1124, 647, 898, 543)(396, 546, 806, 418, 621, 607, 1060, 545)(411, 801, 768, 1211, 1086, 619, 1084, 1294)(422, 816, 674, 904, 1265, 1277, 449, 852)(427, 808, 1157, 688, 603, 873, 471, 875)(433, 831, 1106, 1293, 1239, 860, 667, 1142)(436, 804, 984, 1202, 750, 578, 1015, 704)(444, 824, 1240, 929, 982, 563, 980, 842)(452, 711, 1102, 940, 962, 554, 959, 854)(453, 856, 569, 997, 1242, 855, 740, 863)(461, 865, 1256, 921, 660, 687, 1154, 951)(475, 878, 576, 1012, 1177, 716, 596, 883)(486, 892, 1264, 1276, 1023, 581, 1020, 1286)(493, 592, 664, 932, 530, 709, 1175, 839)(504, 906, 1183, 1205, 968, 556, 966, 908)(511, 821, 784, 1217, 1172, 705, 741, 1198)(514, 916, 978, 888, 662, 617, 1081, 681)(520, 923, 557, 969, 1244, 828, 656, 927)(531, 936, 1272, 1219, 787, 626, 1094, 811)(538, 835, 1080, 1210, 767, 694, 736, 1191)(540, 632, 1070, 1281, 993, 567, 991, 819)(541, 943, 605, 874, 1259, 942, 1031, 914)(548, 948, 1227, 798, 600, 934, 1238, 1135)(560, 974, 1273, 939, 1025, 1220, 1234, 976)(564, 983, 1203, 754, 612, 1069, 850, 986)(566, 988, 1278, 1026, 1013, 1269, 1204, 990)(568, 994, 1282, 1109, 807, 1231, 830, 996)(571, 944, 1237, 820, 1088, 1208, 763, 1001)(572, 1002, 1250, 846, 611, 1067, 1241, 935)(573, 1004, 1271, 925, 985, 893, 1251, 1006)(574, 1007, 1245, 829, 1041, 1279, 1178, 1000)(575, 1009, 1283, 1129, 979, 802, 1229, 1011)(577, 1014, 744, 952, 661, 1046, 1263, 890)(579, 778, 1212, 963, 949, 1168, 712, 1016)(580, 1017, 910, 1042, 591, 1040, 1209, 766)(584, 1027, 1287, 1156, 998, 786, 913, 1029)(587, 1032, 1218, 785, 1139, 1153, 685, 1033)(588, 1034, 1288, 1096, 971, 739, 1196, 1036)(589, 1037, 847, 1089, 620, 1087, 1194, 737)(590, 1039, 1200, 746, 1068, 1249, 885, 981)(593, 1043, 696, 1164, 722, 1018, 1285, 1044)(594, 1045, 665, 812, 788, 1003, 1247, 837)(595, 703, 1171, 879, 783, 1201, 752, 933)(597, 1048, 1255, 861, 1019, 1284, 1268, 915)(598, 884, 1261, 1193, 995, 720, 1169, 1051)(599, 1052, 1180, 719, 1103, 1190, 734, 1008)(601, 1054, 646, 901, 1230, 970, 1185, 723)(602, 858, 1160, 877, 1155, 794, 670, 1055)(606, 1059, 769, 1118, 749, 1056, 1228, 799)(608, 1061, 1258, 953, 1184, 919, 650, 1062)(609, 1063, 1254, 880, 961, 690, 1159, 1065)(610, 1066, 1166, 698, 1071, 1289, 1270, 973)(613, 1072, 1213, 770, 1047, 1290, 1275, 987)(614, 1075, 1292, 1226, 975, 659, 1137, 1077)(615, 1078, 1136, 658, 928, 1224, 793, 989)(618, 1082, 1197, 960, 1192, 789, 633, 1083)(622, 1090, 718, 1115, 836, 1038, 1223, 792)(623, 1074, 640, 1113, 918, 992, 1221, 1091)(624, 645, 1122, 732, 866, 1181, 907, 1092)(628, 733, 1189, 1260, 1010, 747, 1121, 1097)(629, 1098, 938, 1076, 706, 1105, 1195, 738)(631, 1100, 1119, 642, 1117, 1266, 1222, 967)(634, 760, 1132, 774, 1128, 735, 729, 1104)(638, 772, 1214, 1243, 826, 1163, 800, 1111)(641, 1114, 1295, 1186, 957, 655, 1131, 1116)(643, 1120, 1162, 693, 762, 1207, 790, 1005)(649, 1125, 756, 1064, 776, 1053, 1187, 727)(651, 680, 1150, 730, 1107, 886, 773, 1126)(654, 728, 1188, 1280, 1028, 832, 1148, 1130)(657, 1133, 1165, 697, 1093, 1291, 1248, 945)(663, 1050, 675, 1140, 1235, 813, 1232, 922)(666, 809, 1233, 870, 964, 710, 1176, 1141)(668, 684, 1152, 849, 1035, 700, 1079, 1143)(669, 889, 1262, 912, 780, 1138, 1158, 689)(671, 924, 1101, 876, 1095, 686, 731, 1134)(677, 1147, 1199, 742, 864, 1174, 724, 1022)(692, 1161, 900, 745, 950, 1274, 1216, 779)(708, 1108, 838, 1085, 853, 1099, 947, 771)(713, 1021, 930, 753, 1049, 764, 840, 1073)(751, 1058, 758, 1123, 1225, 902, 782, 871)(1297, 1299)(1298, 1302)(1300, 1305)(1301, 1308)(1303, 1312)(1304, 1309)(1306, 1315)(1307, 1318)(1310, 1319)(1311, 1324)(1313, 1326)(1314, 1329)(1316, 1331)(1317, 1332)(1320, 1333)(1321, 1338)(1322, 1339)(1323, 1342)(1325, 1343)(1327, 1347)(1328, 1349)(1330, 1352)(1334, 1354)(1335, 1359)(1336, 1360)(1337, 1363)(1340, 1366)(1341, 1367)(1344, 1368)(1345, 1372)(1346, 1375)(1348, 1377)(1350, 1378)(1351, 1382)(1353, 1355)(1356, 1388)(1357, 1389)(1358, 1392)(1361, 1395)(1362, 1396)(1364, 1397)(1365, 1401)(1369, 1403)(1370, 1408)(1371, 1409)(1373, 1412)(1374, 1414)(1376, 1404)(1379, 1417)(1380, 1421)(1381, 1423)(1383, 1424)(1384, 1428)(1385, 1430)(1386, 1431)(1387, 1434)(1390, 1437)(1391, 1438)(1393, 1439)(1394, 1443)(1398, 1445)(1399, 1449)(1400, 1452)(1402, 1446)(1405, 1458)(1406, 1459)(1407, 1462)(1410, 1465)(1411, 1467)(1413, 1469)(1415, 1470)(1416, 1474)(1418, 1468)(1419, 1478)(1420, 1479)(1422, 1482)(1425, 1483)(1426, 1487)(1427, 1489)(1429, 1492)(1432, 1495)(1433, 1496)(1435, 1497)(1436, 1501)(1440, 1503)(1441, 1507)(1442, 1510)(1444, 1504)(1447, 1516)(1448, 1517)(1450, 1520)(1451, 1521)(1453, 1522)(1454, 1526)(1455, 1528)(1456, 1529)(1457, 1532)(1460, 1535)(1461, 1536)(1463, 1537)(1464, 1541)(1466, 1544)(1471, 1547)(1472, 1551)(1473, 1553)(1475, 1556)(1476, 1557)(1477, 1560)(1480, 1563)(1481, 1565)(1484, 1566)(1485, 1570)(1486, 1571)(1488, 1574)(1490, 1575)(1491, 1578)(1493, 1579)(1494, 1583)(1498, 1585)(1499, 1589)(1500, 1592)(1502, 1586)(1505, 1598)(1506, 1599)(1508, 1602)(1509, 1603)(1511, 1604)(1512, 1608)(1513, 1610)(1514, 1611)(1515, 1614)(1518, 1617)(1519, 1619)(1523, 1621)(1524, 1625)(1525, 1627)(1527, 1630)(1530, 1633)(1531, 1634)(1533, 1635)(1534, 1639)(1538, 1641)(1539, 1645)(1540, 1648)(1542, 1642)(1543, 1651)(1545, 1652)(1546, 1656)(1548, 1620)(1549, 1660)(1550, 1661)(1552, 1664)(1554, 1665)(1555, 1669)(1558, 1672)(1559, 1673)(1561, 1674)(1562, 1678)(1564, 1681)(1567, 1685)(1568, 1686)(1569, 1689)(1572, 1692)(1573, 1694)(1576, 1695)(1577, 1698)(1580, 1700)(1581, 1704)(1582, 1707)(1584, 1701)(1587, 1713)(1588, 1714)(1590, 1717)(1591, 1718)(1593, 1719)(1594, 1723)(1595, 1725)(1596, 1726)(1597, 1729)(1600, 1732)(1601, 1734)(1605, 1736)(1606, 1740)(1607, 1742)(1609, 1745)(1612, 1748)(1613, 1749)(1615, 1750)(1616, 1754)(1618, 1757)(1622, 1735)(1623, 1763)(1624, 1764)(1626, 1767)(1628, 1768)(1629, 1771)(1631, 1737)(1632, 1774)(1636, 1776)(1637, 1780)(1638, 1782)(1640, 1777)(1643, 1788)(1644, 1789)(1646, 1770)(1647, 1702)(1649, 1792)(1650, 1796)(1653, 1797)(1654, 1800)(1655, 1761)(1657, 1803)(1658, 1804)(1659, 1807)(1662, 1810)(1663, 1812)(1666, 1743)(1667, 1814)(1668, 1816)(1670, 1817)(1671, 1820)(1675, 1822)(1676, 1826)(1677, 1827)(1679, 1823)(1680, 1813)(1682, 1830)(1683, 1759)(1684, 1834)(1687, 1836)(1688, 1837)(1690, 1838)(1691, 1841)(1693, 1844)(1696, 1756)(1697, 1795)(1699, 1848)(1703, 2092)(1705, 1926)(1706, 2096)(1708, 2097)(1709, 1916)(1710, 2102)(1711, 2104)(1712, 2107)(1715, 2108)(1716, 2110)(1720, 2112)(1721, 2116)(1722, 2119)(1724, 2122)(1727, 2124)(1728, 2126)(1730, 2127)(1731, 2000)(1733, 2131)(1738, 2138)(1739, 2140)(1741, 2143)(1744, 2146)(1746, 2148)(1747, 2150)(1751, 2152)(1752, 2155)(1753, 2157)(1755, 2159)(1758, 2161)(1760, 2165)(1762, 2166)(1765, 2162)(1766, 2169)(1769, 2171)(1772, 2174)(1773, 2176)(1775, 2179)(1778, 2139)(1779, 2184)(1781, 2187)(1783, 2188)(1784, 1887)(1785, 2135)(1786, 2193)(1787, 2196)(1790, 2197)(1791, 2141)(1793, 2091)(1794, 2125)(1798, 2204)(1799, 2205)(1801, 2206)(1802, 2208)(1805, 2142)(1806, 2209)(1808, 2117)(1809, 1977)(1811, 2002)(1815, 2005)(1818, 2219)(1819, 2221)(1821, 2223)(1824, 2228)(1825, 2229)(1828, 2232)(1829, 1878)(1831, 2216)(1832, 2235)(1833, 2236)(1835, 2115)(1839, 2239)(1840, 2175)(1842, 2210)(1843, 1995)(1845, 2244)(1846, 2247)(1847, 2248)(1849, 2173)(1850, 2256)(1851, 2259)(1852, 2070)(1853, 2266)(1854, 2249)(1855, 2026)(1856, 2172)(1857, 2274)(1858, 2081)(1859, 1967)(1860, 2280)(1861, 2028)(1862, 2049)(1863, 2288)(1864, 2069)(1865, 2203)(1866, 2015)(1867, 1930)(1868, 2299)(1869, 2136)(1870, 2009)(1871, 2025)(1872, 2158)(1873, 2109)(1874, 1954)(1875, 1898)(1876, 2314)(1877, 2317)(1879, 2322)(1880, 1966)(1881, 2048)(1882, 2042)(1883, 1947)(1884, 2027)(1885, 2334)(1886, 2060)(1888, 1942)(1889, 2038)(1890, 1989)(1891, 1914)(1892, 2342)(1893, 2345)(1894, 1929)(1895, 1982)(1896, 2349)(1897, 1910)(1899, 2352)(1900, 2220)(1901, 2008)(1902, 2198)(1903, 1994)(1904, 1920)(1905, 1976)(1906, 2226)(1907, 2222)(1908, 2366)(1909, 2369)(1911, 2031)(1912, 2375)(1913, 1938)(1915, 2056)(1917, 1961)(1918, 2067)(1919, 1964)(1921, 2383)(1922, 2391)(1923, 2392)(1924, 1946)(1925, 2395)(1927, 2397)(1928, 2398)(1931, 2401)(1932, 2403)(1933, 2405)(1934, 2059)(1935, 2066)(1936, 1958)(1937, 1941)(1939, 2090)(1940, 2417)(1943, 2154)(1944, 1992)(1945, 2167)(1948, 2424)(1949, 2425)(1950, 1981)(1951, 2428)(1952, 2363)(1953, 2430)(1955, 2182)(1956, 2416)(1957, 2178)(1959, 2023)(1960, 1993)(1962, 1999)(1963, 2422)(1965, 2419)(1968, 2434)(1969, 2151)(1970, 2225)(1971, 2019)(1972, 2442)(1973, 2085)(1974, 2444)(1975, 2055)(1978, 2378)(1979, 2040)(1980, 2404)(1983, 2451)(1984, 2452)(1985, 2030)(1986, 2456)(1987, 2336)(1988, 2400)(1990, 2443)(1991, 2041)(1996, 2464)(1997, 2465)(1998, 2050)(2001, 2074)(2003, 2065)(2004, 2470)(2006, 2446)(2007, 2365)(2010, 2376)(2011, 2079)(2012, 2073)(2013, 2474)(2014, 2046)(2016, 2477)(2017, 2374)(2018, 2479)(2020, 2088)(2021, 2388)(2022, 2482)(2024, 2381)(2029, 2354)(2032, 2488)(2033, 2489)(2034, 2089)(2035, 2493)(2036, 2308)(2037, 2351)(2039, 2436)(2043, 2497)(2044, 2433)(2045, 2168)(2047, 2218)(2051, 2500)(2052, 2133)(2053, 2501)(2054, 2215)(2057, 2357)(2058, 2421)(2061, 2245)(2062, 2238)(2063, 2181)(2064, 2508)(2068, 2360)(2071, 2099)(2072, 2504)(2075, 2240)(2076, 2199)(2077, 2234)(2078, 2503)(2080, 2418)(2082, 2212)(2083, 2348)(2084, 2516)(2086, 2095)(2087, 2518)(2093, 2481)(2094, 2522)(2098, 2526)(2100, 2527)(2101, 2327)(2103, 2279)(2105, 2379)(2106, 2530)(2111, 2409)(2113, 2533)(2114, 2260)(2118, 2534)(2120, 2333)(2121, 2537)(2123, 2540)(2128, 2471)(2129, 2396)(2130, 2338)(2132, 2536)(2134, 2387)(2137, 2544)(2144, 2547)(2145, 2340)(2147, 2549)(2149, 2449)(2153, 2408)(2156, 2328)(2160, 2448)(2163, 2467)(2164, 2372)(2170, 2331)(2177, 2546)(2180, 2318)(2183, 2551)(2185, 2480)(2186, 2556)(2189, 2554)(2190, 2542)(2191, 2324)(2192, 2320)(2194, 2312)(2195, 2525)(2200, 2411)(2201, 2541)(2202, 2313)(2207, 2563)(2211, 2335)(2213, 2385)(2214, 2565)(2217, 2566)(2224, 2386)(2227, 2461)(2230, 2384)(2231, 2539)(2233, 2569)(2237, 2261)(2241, 2276)(2242, 2558)(2243, 2520)(2246, 2377)(2250, 2459)(2251, 2460)(2252, 2257)(2253, 2262)(2254, 2450)(2255, 2267)(2258, 2487)(2263, 2270)(2264, 2423)(2265, 2275)(2268, 2281)(2269, 2284)(2271, 2290)(2272, 2390)(2273, 2294)(2277, 2300)(2278, 2353)(2282, 2573)(2283, 2303)(2285, 2305)(2286, 2344)(2287, 2309)(2289, 2576)(2291, 2293)(2292, 2438)(2295, 2315)(2296, 2316)(2297, 2380)(2298, 2321)(2301, 2323)(2302, 2368)(2304, 2330)(2306, 2326)(2307, 2457)(2310, 2337)(2311, 2343)(2319, 2362)(2325, 2494)(2329, 2359)(2332, 2429)(2339, 2364)(2341, 2367)(2346, 2371)(2347, 2529)(2350, 2389)(2355, 2399)(2356, 2402)(2358, 2410)(2361, 2472)(2370, 2413)(2373, 2587)(2382, 2427)(2393, 2591)(2394, 2435)(2406, 2499)(2407, 2590)(2412, 2513)(2414, 2441)(2415, 2570)(2420, 2455)(2426, 2550)(2431, 2463)(2432, 2586)(2437, 2553)(2439, 2562)(2440, 2473)(2445, 2505)(2447, 2492)(2453, 2502)(2454, 2584)(2458, 2585)(2462, 2589)(2466, 2577)(2468, 2507)(2469, 2592)(2475, 2582)(2476, 2580)(2478, 2571)(2483, 2588)(2484, 2517)(2485, 2528)(2486, 2521)(2490, 2538)(2491, 2579)(2495, 2545)(2496, 2568)(2498, 2561)(2506, 2567)(2509, 2548)(2510, 2543)(2511, 2559)(2512, 2532)(2514, 2560)(2515, 2564)(2519, 2557)(2523, 2578)(2524, 2583)(2531, 2575)(2535, 2572)(2552, 2574)(2555, 2581)
	L = (1, 1297)(2, 1298)(3, 1299)(4, 1300)(5, 1301)(6, 1302)(7, 1303)(8, 1304)(9, 1305)(10, 1306)(11, 1307)(12, 1308)(13, 1309)(14, 1310)(15, 1311)(16, 1312)(17, 1313)(18, 1314)(19, 1315)(20, 1316)(21, 1317)(22, 1318)(23, 1319)(24, 1320)(25, 1321)(26, 1322)(27, 1323)(28, 1324)(29, 1325)(30, 1326)(31, 1327)(32, 1328)(33, 1329)(34, 1330)(35, 1331)(36, 1332)(37, 1333)(38, 1334)(39, 1335)(40, 1336)(41, 1337)(42, 1338)(43, 1339)(44, 1340)(45, 1341)(46, 1342)(47, 1343)(48, 1344)(49, 1345)(50, 1346)(51, 1347)(52, 1348)(53, 1349)(54, 1350)(55, 1351)(56, 1352)(57, 1353)(58, 1354)(59, 1355)(60, 1356)(61, 1357)(62, 1358)(63, 1359)(64, 1360)(65, 1361)(66, 1362)(67, 1363)(68, 1364)(69, 1365)(70, 1366)(71, 1367)(72, 1368)(73, 1369)(74, 1370)(75, 1371)(76, 1372)(77, 1373)(78, 1374)(79, 1375)(80, 1376)(81, 1377)(82, 1378)(83, 1379)(84, 1380)(85, 1381)(86, 1382)(87, 1383)(88, 1384)(89, 1385)(90, 1386)(91, 1387)(92, 1388)(93, 1389)(94, 1390)(95, 1391)(96, 1392)(97, 1393)(98, 1394)(99, 1395)(100, 1396)(101, 1397)(102, 1398)(103, 1399)(104, 1400)(105, 1401)(106, 1402)(107, 1403)(108, 1404)(109, 1405)(110, 1406)(111, 1407)(112, 1408)(113, 1409)(114, 1410)(115, 1411)(116, 1412)(117, 1413)(118, 1414)(119, 1415)(120, 1416)(121, 1417)(122, 1418)(123, 1419)(124, 1420)(125, 1421)(126, 1422)(127, 1423)(128, 1424)(129, 1425)(130, 1426)(131, 1427)(132, 1428)(133, 1429)(134, 1430)(135, 1431)(136, 1432)(137, 1433)(138, 1434)(139, 1435)(140, 1436)(141, 1437)(142, 1438)(143, 1439)(144, 1440)(145, 1441)(146, 1442)(147, 1443)(148, 1444)(149, 1445)(150, 1446)(151, 1447)(152, 1448)(153, 1449)(154, 1450)(155, 1451)(156, 1452)(157, 1453)(158, 1454)(159, 1455)(160, 1456)(161, 1457)(162, 1458)(163, 1459)(164, 1460)(165, 1461)(166, 1462)(167, 1463)(168, 1464)(169, 1465)(170, 1466)(171, 1467)(172, 1468)(173, 1469)(174, 1470)(175, 1471)(176, 1472)(177, 1473)(178, 1474)(179, 1475)(180, 1476)(181, 1477)(182, 1478)(183, 1479)(184, 1480)(185, 1481)(186, 1482)(187, 1483)(188, 1484)(189, 1485)(190, 1486)(191, 1487)(192, 1488)(193, 1489)(194, 1490)(195, 1491)(196, 1492)(197, 1493)(198, 1494)(199, 1495)(200, 1496)(201, 1497)(202, 1498)(203, 1499)(204, 1500)(205, 1501)(206, 1502)(207, 1503)(208, 1504)(209, 1505)(210, 1506)(211, 1507)(212, 1508)(213, 1509)(214, 1510)(215, 1511)(216, 1512)(217, 1513)(218, 1514)(219, 1515)(220, 1516)(221, 1517)(222, 1518)(223, 1519)(224, 1520)(225, 1521)(226, 1522)(227, 1523)(228, 1524)(229, 1525)(230, 1526)(231, 1527)(232, 1528)(233, 1529)(234, 1530)(235, 1531)(236, 1532)(237, 1533)(238, 1534)(239, 1535)(240, 1536)(241, 1537)(242, 1538)(243, 1539)(244, 1540)(245, 1541)(246, 1542)(247, 1543)(248, 1544)(249, 1545)(250, 1546)(251, 1547)(252, 1548)(253, 1549)(254, 1550)(255, 1551)(256, 1552)(257, 1553)(258, 1554)(259, 1555)(260, 1556)(261, 1557)(262, 1558)(263, 1559)(264, 1560)(265, 1561)(266, 1562)(267, 1563)(268, 1564)(269, 1565)(270, 1566)(271, 1567)(272, 1568)(273, 1569)(274, 1570)(275, 1571)(276, 1572)(277, 1573)(278, 1574)(279, 1575)(280, 1576)(281, 1577)(282, 1578)(283, 1579)(284, 1580)(285, 1581)(286, 1582)(287, 1583)(288, 1584)(289, 1585)(290, 1586)(291, 1587)(292, 1588)(293, 1589)(294, 1590)(295, 1591)(296, 1592)(297, 1593)(298, 1594)(299, 1595)(300, 1596)(301, 1597)(302, 1598)(303, 1599)(304, 1600)(305, 1601)(306, 1602)(307, 1603)(308, 1604)(309, 1605)(310, 1606)(311, 1607)(312, 1608)(313, 1609)(314, 1610)(315, 1611)(316, 1612)(317, 1613)(318, 1614)(319, 1615)(320, 1616)(321, 1617)(322, 1618)(323, 1619)(324, 1620)(325, 1621)(326, 1622)(327, 1623)(328, 1624)(329, 1625)(330, 1626)(331, 1627)(332, 1628)(333, 1629)(334, 1630)(335, 1631)(336, 1632)(337, 1633)(338, 1634)(339, 1635)(340, 1636)(341, 1637)(342, 1638)(343, 1639)(344, 1640)(345, 1641)(346, 1642)(347, 1643)(348, 1644)(349, 1645)(350, 1646)(351, 1647)(352, 1648)(353, 1649)(354, 1650)(355, 1651)(356, 1652)(357, 1653)(358, 1654)(359, 1655)(360, 1656)(361, 1657)(362, 1658)(363, 1659)(364, 1660)(365, 1661)(366, 1662)(367, 1663)(368, 1664)(369, 1665)(370, 1666)(371, 1667)(372, 1668)(373, 1669)(374, 1670)(375, 1671)(376, 1672)(377, 1673)(378, 1674)(379, 1675)(380, 1676)(381, 1677)(382, 1678)(383, 1679)(384, 1680)(385, 1681)(386, 1682)(387, 1683)(388, 1684)(389, 1685)(390, 1686)(391, 1687)(392, 1688)(393, 1689)(394, 1690)(395, 1691)(396, 1692)(397, 1693)(398, 1694)(399, 1695)(400, 1696)(401, 1697)(402, 1698)(403, 1699)(404, 1700)(405, 1701)(406, 1702)(407, 1703)(408, 1704)(409, 1705)(410, 1706)(411, 1707)(412, 1708)(413, 1709)(414, 1710)(415, 1711)(416, 1712)(417, 1713)(418, 1714)(419, 1715)(420, 1716)(421, 1717)(422, 1718)(423, 1719)(424, 1720)(425, 1721)(426, 1722)(427, 1723)(428, 1724)(429, 1725)(430, 1726)(431, 1727)(432, 1728)(433, 1729)(434, 1730)(435, 1731)(436, 1732)(437, 1733)(438, 1734)(439, 1735)(440, 1736)(441, 1737)(442, 1738)(443, 1739)(444, 1740)(445, 1741)(446, 1742)(447, 1743)(448, 1744)(449, 1745)(450, 1746)(451, 1747)(452, 1748)(453, 1749)(454, 1750)(455, 1751)(456, 1752)(457, 1753)(458, 1754)(459, 1755)(460, 1756)(461, 1757)(462, 1758)(463, 1759)(464, 1760)(465, 1761)(466, 1762)(467, 1763)(468, 1764)(469, 1765)(470, 1766)(471, 1767)(472, 1768)(473, 1769)(474, 1770)(475, 1771)(476, 1772)(477, 1773)(478, 1774)(479, 1775)(480, 1776)(481, 1777)(482, 1778)(483, 1779)(484, 1780)(485, 1781)(486, 1782)(487, 1783)(488, 1784)(489, 1785)(490, 1786)(491, 1787)(492, 1788)(493, 1789)(494, 1790)(495, 1791)(496, 1792)(497, 1793)(498, 1794)(499, 1795)(500, 1796)(501, 1797)(502, 1798)(503, 1799)(504, 1800)(505, 1801)(506, 1802)(507, 1803)(508, 1804)(509, 1805)(510, 1806)(511, 1807)(512, 1808)(513, 1809)(514, 1810)(515, 1811)(516, 1812)(517, 1813)(518, 1814)(519, 1815)(520, 1816)(521, 1817)(522, 1818)(523, 1819)(524, 1820)(525, 1821)(526, 1822)(527, 1823)(528, 1824)(529, 1825)(530, 1826)(531, 1827)(532, 1828)(533, 1829)(534, 1830)(535, 1831)(536, 1832)(537, 1833)(538, 1834)(539, 1835)(540, 1836)(541, 1837)(542, 1838)(543, 1839)(544, 1840)(545, 1841)(546, 1842)(547, 1843)(548, 1844)(549, 1845)(550, 1846)(551, 1847)(552, 1848)(553, 1849)(554, 1850)(555, 1851)(556, 1852)(557, 1853)(558, 1854)(559, 1855)(560, 1856)(561, 1857)(562, 1858)(563, 1859)(564, 1860)(565, 1861)(566, 1862)(567, 1863)(568, 1864)(569, 1865)(570, 1866)(571, 1867)(572, 1868)(573, 1869)(574, 1870)(575, 1871)(576, 1872)(577, 1873)(578, 1874)(579, 1875)(580, 1876)(581, 1877)(582, 1878)(583, 1879)(584, 1880)(585, 1881)(586, 1882)(587, 1883)(588, 1884)(589, 1885)(590, 1886)(591, 1887)(592, 1888)(593, 1889)(594, 1890)(595, 1891)(596, 1892)(597, 1893)(598, 1894)(599, 1895)(600, 1896)(601, 1897)(602, 1898)(603, 1899)(604, 1900)(605, 1901)(606, 1902)(607, 1903)(608, 1904)(609, 1905)(610, 1906)(611, 1907)(612, 1908)(613, 1909)(614, 1910)(615, 1911)(616, 1912)(617, 1913)(618, 1914)(619, 1915)(620, 1916)(621, 1917)(622, 1918)(623, 1919)(624, 1920)(625, 1921)(626, 1922)(627, 1923)(628, 1924)(629, 1925)(630, 1926)(631, 1927)(632, 1928)(633, 1929)(634, 1930)(635, 1931)(636, 1932)(637, 1933)(638, 1934)(639, 1935)(640, 1936)(641, 1937)(642, 1938)(643, 1939)(644, 1940)(645, 1941)(646, 1942)(647, 1943)(648, 1944)(649, 1945)(650, 1946)(651, 1947)(652, 1948)(653, 1949)(654, 1950)(655, 1951)(656, 1952)(657, 1953)(658, 1954)(659, 1955)(660, 1956)(661, 1957)(662, 1958)(663, 1959)(664, 1960)(665, 1961)(666, 1962)(667, 1963)(668, 1964)(669, 1965)(670, 1966)(671, 1967)(672, 1968)(673, 1969)(674, 1970)(675, 1971)(676, 1972)(677, 1973)(678, 1974)(679, 1975)(680, 1976)(681, 1977)(682, 1978)(683, 1979)(684, 1980)(685, 1981)(686, 1982)(687, 1983)(688, 1984)(689, 1985)(690, 1986)(691, 1987)(692, 1988)(693, 1989)(694, 1990)(695, 1991)(696, 1992)(697, 1993)(698, 1994)(699, 1995)(700, 1996)(701, 1997)(702, 1998)(703, 1999)(704, 2000)(705, 2001)(706, 2002)(707, 2003)(708, 2004)(709, 2005)(710, 2006)(711, 2007)(712, 2008)(713, 2009)(714, 2010)(715, 2011)(716, 2012)(717, 2013)(718, 2014)(719, 2015)(720, 2016)(721, 2017)(722, 2018)(723, 2019)(724, 2020)(725, 2021)(726, 2022)(727, 2023)(728, 2024)(729, 2025)(730, 2026)(731, 2027)(732, 2028)(733, 2029)(734, 2030)(735, 2031)(736, 2032)(737, 2033)(738, 2034)(739, 2035)(740, 2036)(741, 2037)(742, 2038)(743, 2039)(744, 2040)(745, 2041)(746, 2042)(747, 2043)(748, 2044)(749, 2045)(750, 2046)(751, 2047)(752, 2048)(753, 2049)(754, 2050)(755, 2051)(756, 2052)(757, 2053)(758, 2054)(759, 2055)(760, 2056)(761, 2057)(762, 2058)(763, 2059)(764, 2060)(765, 2061)(766, 2062)(767, 2063)(768, 2064)(769, 2065)(770, 2066)(771, 2067)(772, 2068)(773, 2069)(774, 2070)(775, 2071)(776, 2072)(777, 2073)(778, 2074)(779, 2075)(780, 2076)(781, 2077)(782, 2078)(783, 2079)(784, 2080)(785, 2081)(786, 2082)(787, 2083)(788, 2084)(789, 2085)(790, 2086)(791, 2087)(792, 2088)(793, 2089)(794, 2090)(795, 2091)(796, 2092)(797, 2093)(798, 2094)(799, 2095)(800, 2096)(801, 2097)(802, 2098)(803, 2099)(804, 2100)(805, 2101)(806, 2102)(807, 2103)(808, 2104)(809, 2105)(810, 2106)(811, 2107)(812, 2108)(813, 2109)(814, 2110)(815, 2111)(816, 2112)(817, 2113)(818, 2114)(819, 2115)(820, 2116)(821, 2117)(822, 2118)(823, 2119)(824, 2120)(825, 2121)(826, 2122)(827, 2123)(828, 2124)(829, 2125)(830, 2126)(831, 2127)(832, 2128)(833, 2129)(834, 2130)(835, 2131)(836, 2132)(837, 2133)(838, 2134)(839, 2135)(840, 2136)(841, 2137)(842, 2138)(843, 2139)(844, 2140)(845, 2141)(846, 2142)(847, 2143)(848, 2144)(849, 2145)(850, 2146)(851, 2147)(852, 2148)(853, 2149)(854, 2150)(855, 2151)(856, 2152)(857, 2153)(858, 2154)(859, 2155)(860, 2156)(861, 2157)(862, 2158)(863, 2159)(864, 2160)(865, 2161)(866, 2162)(867, 2163)(868, 2164)(869, 2165)(870, 2166)(871, 2167)(872, 2168)(873, 2169)(874, 2170)(875, 2171)(876, 2172)(877, 2173)(878, 2174)(879, 2175)(880, 2176)(881, 2177)(882, 2178)(883, 2179)(884, 2180)(885, 2181)(886, 2182)(887, 2183)(888, 2184)(889, 2185)(890, 2186)(891, 2187)(892, 2188)(893, 2189)(894, 2190)(895, 2191)(896, 2192)(897, 2193)(898, 2194)(899, 2195)(900, 2196)(901, 2197)(902, 2198)(903, 2199)(904, 2200)(905, 2201)(906, 2202)(907, 2203)(908, 2204)(909, 2205)(910, 2206)(911, 2207)(912, 2208)(913, 2209)(914, 2210)(915, 2211)(916, 2212)(917, 2213)(918, 2214)(919, 2215)(920, 2216)(921, 2217)(922, 2218)(923, 2219)(924, 2220)(925, 2221)(926, 2222)(927, 2223)(928, 2224)(929, 2225)(930, 2226)(931, 2227)(932, 2228)(933, 2229)(934, 2230)(935, 2231)(936, 2232)(937, 2233)(938, 2234)(939, 2235)(940, 2236)(941, 2237)(942, 2238)(943, 2239)(944, 2240)(945, 2241)(946, 2242)(947, 2243)(948, 2244)(949, 2245)(950, 2246)(951, 2247)(952, 2248)(953, 2249)(954, 2250)(955, 2251)(956, 2252)(957, 2253)(958, 2254)(959, 2255)(960, 2256)(961, 2257)(962, 2258)(963, 2259)(964, 2260)(965, 2261)(966, 2262)(967, 2263)(968, 2264)(969, 2265)(970, 2266)(971, 2267)(972, 2268)(973, 2269)(974, 2270)(975, 2271)(976, 2272)(977, 2273)(978, 2274)(979, 2275)(980, 2276)(981, 2277)(982, 2278)(983, 2279)(984, 2280)(985, 2281)(986, 2282)(987, 2283)(988, 2284)(989, 2285)(990, 2286)(991, 2287)(992, 2288)(993, 2289)(994, 2290)(995, 2291)(996, 2292)(997, 2293)(998, 2294)(999, 2295)(1000, 2296)(1001, 2297)(1002, 2298)(1003, 2299)(1004, 2300)(1005, 2301)(1006, 2302)(1007, 2303)(1008, 2304)(1009, 2305)(1010, 2306)(1011, 2307)(1012, 2308)(1013, 2309)(1014, 2310)(1015, 2311)(1016, 2312)(1017, 2313)(1018, 2314)(1019, 2315)(1020, 2316)(1021, 2317)(1022, 2318)(1023, 2319)(1024, 2320)(1025, 2321)(1026, 2322)(1027, 2323)(1028, 2324)(1029, 2325)(1030, 2326)(1031, 2327)(1032, 2328)(1033, 2329)(1034, 2330)(1035, 2331)(1036, 2332)(1037, 2333)(1038, 2334)(1039, 2335)(1040, 2336)(1041, 2337)(1042, 2338)(1043, 2339)(1044, 2340)(1045, 2341)(1046, 2342)(1047, 2343)(1048, 2344)(1049, 2345)(1050, 2346)(1051, 2347)(1052, 2348)(1053, 2349)(1054, 2350)(1055, 2351)(1056, 2352)(1057, 2353)(1058, 2354)(1059, 2355)(1060, 2356)(1061, 2357)(1062, 2358)(1063, 2359)(1064, 2360)(1065, 2361)(1066, 2362)(1067, 2363)(1068, 2364)(1069, 2365)(1070, 2366)(1071, 2367)(1072, 2368)(1073, 2369)(1074, 2370)(1075, 2371)(1076, 2372)(1077, 2373)(1078, 2374)(1079, 2375)(1080, 2376)(1081, 2377)(1082, 2378)(1083, 2379)(1084, 2380)(1085, 2381)(1086, 2382)(1087, 2383)(1088, 2384)(1089, 2385)(1090, 2386)(1091, 2387)(1092, 2388)(1093, 2389)(1094, 2390)(1095, 2391)(1096, 2392)(1097, 2393)(1098, 2394)(1099, 2395)(1100, 2396)(1101, 2397)(1102, 2398)(1103, 2399)(1104, 2400)(1105, 2401)(1106, 2402)(1107, 2403)(1108, 2404)(1109, 2405)(1110, 2406)(1111, 2407)(1112, 2408)(1113, 2409)(1114, 2410)(1115, 2411)(1116, 2412)(1117, 2413)(1118, 2414)(1119, 2415)(1120, 2416)(1121, 2417)(1122, 2418)(1123, 2419)(1124, 2420)(1125, 2421)(1126, 2422)(1127, 2423)(1128, 2424)(1129, 2425)(1130, 2426)(1131, 2427)(1132, 2428)(1133, 2429)(1134, 2430)(1135, 2431)(1136, 2432)(1137, 2433)(1138, 2434)(1139, 2435)(1140, 2436)(1141, 2437)(1142, 2438)(1143, 2439)(1144, 2440)(1145, 2441)(1146, 2442)(1147, 2443)(1148, 2444)(1149, 2445)(1150, 2446)(1151, 2447)(1152, 2448)(1153, 2449)(1154, 2450)(1155, 2451)(1156, 2452)(1157, 2453)(1158, 2454)(1159, 2455)(1160, 2456)(1161, 2457)(1162, 2458)(1163, 2459)(1164, 2460)(1165, 2461)(1166, 2462)(1167, 2463)(1168, 2464)(1169, 2465)(1170, 2466)(1171, 2467)(1172, 2468)(1173, 2469)(1174, 2470)(1175, 2471)(1176, 2472)(1177, 2473)(1178, 2474)(1179, 2475)(1180, 2476)(1181, 2477)(1182, 2478)(1183, 2479)(1184, 2480)(1185, 2481)(1186, 2482)(1187, 2483)(1188, 2484)(1189, 2485)(1190, 2486)(1191, 2487)(1192, 2488)(1193, 2489)(1194, 2490)(1195, 2491)(1196, 2492)(1197, 2493)(1198, 2494)(1199, 2495)(1200, 2496)(1201, 2497)(1202, 2498)(1203, 2499)(1204, 2500)(1205, 2501)(1206, 2502)(1207, 2503)(1208, 2504)(1209, 2505)(1210, 2506)(1211, 2507)(1212, 2508)(1213, 2509)(1214, 2510)(1215, 2511)(1216, 2512)(1217, 2513)(1218, 2514)(1219, 2515)(1220, 2516)(1221, 2517)(1222, 2518)(1223, 2519)(1224, 2520)(1225, 2521)(1226, 2522)(1227, 2523)(1228, 2524)(1229, 2525)(1230, 2526)(1231, 2527)(1232, 2528)(1233, 2529)(1234, 2530)(1235, 2531)(1236, 2532)(1237, 2533)(1238, 2534)(1239, 2535)(1240, 2536)(1241, 2537)(1242, 2538)(1243, 2539)(1244, 2540)(1245, 2541)(1246, 2542)(1247, 2543)(1248, 2544)(1249, 2545)(1250, 2546)(1251, 2547)(1252, 2548)(1253, 2549)(1254, 2550)(1255, 2551)(1256, 2552)(1257, 2553)(1258, 2554)(1259, 2555)(1260, 2556)(1261, 2557)(1262, 2558)(1263, 2559)(1264, 2560)(1265, 2561)(1266, 2562)(1267, 2563)(1268, 2564)(1269, 2565)(1270, 2566)(1271, 2567)(1272, 2568)(1273, 2569)(1274, 2570)(1275, 2571)(1276, 2572)(1277, 2573)(1278, 2574)(1279, 2575)(1280, 2576)(1281, 2577)(1282, 2578)(1283, 2579)(1284, 2580)(1285, 2581)(1286, 2582)(1287, 2583)(1288, 2584)(1289, 2585)(1290, 2586)(1291, 2587)(1292, 2588)(1293, 2589)(1294, 2590)(1295, 2591)(1296, 2592)
	local type(s) :: { ( 6, 6 ), ( 6^8 ) }
Outer automorphisms :: chiral
Dual of E28.3365
Transitivity :: ET+
Graph:: simple bipartite
	v = 810 e = 1296 f = 432
	degree seq :: [ 2^648, 8^162 ]

E28.3364 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 3, 8})
Quotient :: loop
Aut^+ = $<1296, 2889>$ (small group id <1296, 2889>)
Aut   = $<1296, 2889>$ (small group id <1296, 2889>)
|r| :: 1
Presentation :: [ X1^2, X2^3, (X1 * X2^-1)^8, X1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1 * X2 * X1 * X2 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1, (X2 * X1 * X2^-1 * X1 * X2 * X1)^6, (X1 * X2 * X1 * X2^-1 * X1 * X2 * X1 * X2 * X1 * X2^-1 * X1 * X2^-1)^3 ]
Map:: polyhedral non-degenerate
	R = (1, 1297, 2, 1298)(3, 1299, 7, 1303)(4, 1300, 8, 1304)(5, 1301, 9, 1305)(6, 1302, 10, 1306)(11, 1307, 19, 1315)(12, 1308, 20, 1316)(13, 1309, 21, 1317)(14, 1310, 22, 1318)(15, 1311, 23, 1319)(16, 1312, 24, 1320)(17, 1313, 25, 1321)(18, 1314, 26, 1322)(27, 1323, 43, 1339)(28, 1324, 44, 1340)(29, 1325, 45, 1341)(30, 1326, 46, 1342)(31, 1327, 47, 1343)(32, 1328, 48, 1344)(33, 1329, 49, 1345)(34, 1330, 50, 1346)(35, 1331, 51, 1347)(36, 1332, 52, 1348)(37, 1333, 53, 1349)(38, 1334, 54, 1350)(39, 1335, 55, 1351)(40, 1336, 56, 1352)(41, 1337, 57, 1353)(42, 1338, 58, 1354)(59, 1355, 90, 1386)(60, 1356, 91, 1387)(61, 1357, 92, 1388)(62, 1358, 93, 1389)(63, 1359, 94, 1390)(64, 1360, 95, 1391)(65, 1361, 96, 1392)(66, 1362, 97, 1393)(67, 1363, 98, 1394)(68, 1364, 99, 1395)(69, 1365, 100, 1396)(70, 1366, 101, 1397)(71, 1367, 102, 1398)(72, 1368, 103, 1399)(73, 1369, 104, 1400)(74, 1370, 75, 1371)(76, 1372, 105, 1401)(77, 1373, 106, 1402)(78, 1374, 107, 1403)(79, 1375, 108, 1404)(80, 1376, 109, 1405)(81, 1377, 110, 1406)(82, 1378, 111, 1407)(83, 1379, 112, 1408)(84, 1380, 113, 1409)(85, 1381, 114, 1410)(86, 1382, 115, 1411)(87, 1383, 116, 1412)(88, 1384, 117, 1413)(89, 1385, 118, 1414)(119, 1415, 169, 1465)(120, 1416, 170, 1466)(121, 1417, 171, 1467)(122, 1418, 172, 1468)(123, 1419, 173, 1469)(124, 1420, 174, 1470)(125, 1421, 175, 1471)(126, 1422, 176, 1472)(127, 1423, 177, 1473)(128, 1424, 178, 1474)(129, 1425, 179, 1475)(130, 1426, 180, 1476)(131, 1427, 181, 1477)(132, 1428, 182, 1478)(133, 1429, 183, 1479)(134, 1430, 184, 1480)(135, 1431, 185, 1481)(136, 1432, 186, 1482)(137, 1433, 187, 1483)(138, 1434, 188, 1484)(139, 1435, 189, 1485)(140, 1436, 190, 1486)(141, 1437, 191, 1487)(142, 1438, 192, 1488)(143, 1439, 193, 1489)(144, 1440, 194, 1490)(145, 1441, 195, 1491)(146, 1442, 196, 1492)(147, 1443, 197, 1493)(148, 1444, 198, 1494)(149, 1445, 199, 1495)(150, 1446, 200, 1496)(151, 1447, 201, 1497)(152, 1448, 202, 1498)(153, 1449, 203, 1499)(154, 1450, 204, 1500)(155, 1451, 205, 1501)(156, 1452, 206, 1502)(157, 1453, 207, 1503)(158, 1454, 208, 1504)(159, 1455, 209, 1505)(160, 1456, 210, 1506)(161, 1457, 211, 1507)(162, 1458, 212, 1508)(163, 1459, 213, 1509)(164, 1460, 214, 1510)(165, 1461, 215, 1511)(166, 1462, 216, 1512)(167, 1463, 217, 1513)(168, 1464, 218, 1514)(219, 1515, 424, 1720)(220, 1516, 426, 1722)(221, 1517, 428, 1724)(222, 1518, 429, 1725)(223, 1519, 431, 1727)(224, 1520, 432, 1728)(225, 1521, 315, 1611)(226, 1522, 435, 1731)(227, 1523, 436, 1732)(228, 1524, 438, 1734)(229, 1525, 440, 1736)(230, 1526, 353, 1649)(231, 1527, 443, 1739)(232, 1528, 444, 1740)(233, 1529, 446, 1742)(234, 1530, 448, 1744)(235, 1531, 450, 1746)(236, 1532, 452, 1748)(237, 1533, 453, 1749)(238, 1534, 455, 1751)(239, 1535, 456, 1752)(240, 1536, 457, 1753)(241, 1537, 459, 1755)(242, 1538, 460, 1756)(243, 1539, 462, 1758)(244, 1540, 464, 1760)(245, 1541, 465, 1761)(246, 1542, 467, 1763)(247, 1543, 468, 1764)(248, 1544, 346, 1642)(249, 1545, 471, 1767)(250, 1546, 472, 1768)(251, 1547, 474, 1770)(252, 1548, 476, 1772)(253, 1549, 312, 1608)(254, 1550, 479, 1775)(255, 1551, 480, 1776)(256, 1552, 482, 1778)(257, 1553, 484, 1780)(258, 1554, 486, 1782)(259, 1555, 488, 1784)(260, 1556, 489, 1785)(261, 1557, 491, 1787)(262, 1558, 492, 1788)(263, 1559, 493, 1789)(264, 1560, 495, 1791)(265, 1561, 496, 1792)(266, 1562, 498, 1794)(267, 1563, 502, 1798)(268, 1564, 505, 1801)(269, 1565, 509, 1805)(270, 1566, 513, 1809)(271, 1567, 517, 1813)(272, 1568, 518, 1814)(273, 1569, 521, 1817)(274, 1570, 524, 1820)(275, 1571, 527, 1823)(276, 1572, 530, 1826)(277, 1573, 533, 1829)(278, 1574, 536, 1832)(279, 1575, 537, 1833)(280, 1576, 539, 1835)(281, 1577, 543, 1839)(282, 1578, 544, 1840)(283, 1579, 547, 1843)(284, 1580, 550, 1846)(285, 1581, 553, 1849)(286, 1582, 556, 1852)(287, 1583, 559, 1855)(288, 1584, 563, 1859)(289, 1585, 566, 1862)(290, 1586, 569, 1865)(291, 1587, 572, 1868)(292, 1588, 574, 1870)(293, 1589, 578, 1874)(294, 1590, 581, 1877)(295, 1591, 584, 1880)(296, 1592, 588, 1884)(297, 1593, 591, 1887)(298, 1594, 593, 1889)(299, 1595, 596, 1892)(300, 1596, 599, 1895)(301, 1597, 417, 1713)(302, 1598, 603, 1899)(303, 1599, 590, 1886)(304, 1600, 395, 1691)(305, 1601, 611, 1907)(306, 1602, 614, 1910)(307, 1603, 616, 1912)(308, 1604, 620, 1916)(309, 1605, 623, 1919)(310, 1606, 433, 1729)(311, 1607, 626, 1922)(313, 1609, 631, 1927)(314, 1610, 481, 1777)(316, 1612, 638, 1934)(317, 1613, 640, 1936)(318, 1614, 642, 1938)(319, 1615, 644, 1940)(320, 1616, 648, 1944)(321, 1617, 650, 1946)(322, 1618, 652, 1948)(323, 1619, 656, 1952)(324, 1620, 658, 1954)(325, 1621, 660, 1956)(326, 1622, 664, 1960)(327, 1623, 667, 1963)(328, 1624, 668, 1964)(329, 1625, 672, 1968)(330, 1626, 674, 1970)(331, 1627, 676, 1972)(332, 1628, 678, 1974)(333, 1629, 680, 1976)(334, 1630, 684, 1980)(335, 1631, 687, 1983)(336, 1632, 691, 1987)(337, 1633, 694, 1990)(338, 1634, 695, 1991)(339, 1635, 699, 1995)(340, 1636, 702, 1998)(341, 1637, 704, 2000)(342, 1638, 469, 1765)(343, 1639, 707, 2003)(344, 1640, 711, 2007)(345, 1641, 368, 1664)(347, 1643, 717, 2013)(348, 1644, 719, 2015)(349, 1645, 721, 2017)(350, 1646, 723, 2019)(351, 1647, 362, 1658)(352, 1648, 727, 2023)(354, 1650, 732, 2028)(355, 1651, 445, 1741)(356, 1652, 737, 2033)(357, 1653, 739, 2035)(358, 1654, 740, 2036)(359, 1655, 742, 2038)(360, 1656, 744, 2040)(361, 1657, 748, 2044)(363, 1659, 413, 1709)(364, 1660, 755, 2051)(365, 1661, 757, 2053)(366, 1662, 760, 2056)(367, 1663, 762, 2058)(369, 1665, 767, 2063)(370, 1666, 400, 1696)(371, 1667, 736, 2032)(372, 1668, 580, 1876)(373, 1669, 773, 2069)(374, 1670, 775, 2071)(375, 1671, 777, 2073)(376, 1672, 781, 2077)(377, 1673, 784, 2080)(378, 1674, 787, 2083)(379, 1675, 790, 2086)(380, 1676, 791, 2087)(381, 1677, 725, 2021)(382, 1678, 797, 2093)(383, 1679, 799, 2095)(384, 1680, 801, 2097)(385, 1681, 805, 2101)(386, 1682, 808, 2104)(387, 1683, 812, 2108)(388, 1684, 815, 2111)(389, 1685, 816, 2112)(390, 1686, 624, 1920)(391, 1687, 822, 2118)(392, 1688, 821, 2117)(393, 1689, 552, 1848)(394, 1690, 806, 2102)(396, 1692, 833, 2129)(397, 1693, 836, 2132)(398, 1694, 560, 1856)(399, 1695, 839, 2135)(401, 1697, 844, 2140)(402, 1698, 847, 2143)(403, 1699, 607, 1903)(404, 1700, 501, 1797)(405, 1701, 851, 2147)(406, 1702, 686, 1982)(407, 1703, 765, 2061)(408, 1704, 857, 2153)(409, 1705, 859, 2155)(410, 1706, 862, 2158)(411, 1707, 558, 1854)(412, 1708, 866, 2162)(414, 1710, 872, 2168)(415, 1711, 510, 1806)(416, 1712, 795, 2091)(418, 1714, 879, 2175)(419, 1715, 882, 2178)(420, 1716, 752, 2048)(421, 1717, 885, 2181)(422, 1718, 701, 1997)(423, 1719, 598, 1894)(425, 1721, 883, 2179)(427, 1723, 881, 2177)(430, 1726, 842, 2138)(434, 1730, 905, 2201)(437, 1733, 861, 2157)(439, 1735, 915, 2211)(441, 1737, 919, 2215)(442, 1738, 921, 2217)(447, 1743, 931, 2227)(449, 1745, 641, 1937)(451, 1747, 635, 1931)(454, 1750, 649, 1945)(458, 1754, 946, 2242)(461, 1757, 943, 2239)(463, 1759, 941, 2237)(466, 1762, 959, 2255)(470, 1766, 965, 2261)(473, 1769, 972, 2268)(475, 1771, 975, 2271)(477, 1773, 827, 2123)(478, 1774, 864, 2160)(483, 1779, 874, 2170)(485, 1781, 720, 2016)(487, 1783, 715, 2011)(490, 1786, 666, 1962)(494, 1790, 999, 2295)(497, 1793, 1004, 2300)(499, 1795, 936, 2232)(500, 1796, 848, 2144)(503, 1799, 1009, 2305)(504, 1800, 1012, 2308)(506, 1802, 992, 2288)(507, 1803, 908, 2204)(508, 1804, 546, 1842)(511, 1807, 968, 2264)(512, 1808, 520, 1816)(514, 1810, 893, 2189)(515, 1811, 1017, 2313)(516, 1812, 562, 1858)(519, 1815, 1024, 2320)(522, 1818, 1027, 2323)(523, 1819, 1030, 2326)(525, 1821, 1033, 2329)(526, 1822, 1036, 2332)(528, 1824, 1039, 2335)(529, 1825, 1042, 2338)(531, 1827, 925, 2221)(532, 1828, 918, 2214)(534, 1830, 1047, 2343)(535, 1831, 606, 1902)(538, 1834, 1055, 2351)(540, 1836, 743, 2039)(541, 1837, 1056, 2352)(542, 1838, 619, 1915)(545, 1841, 1064, 2360)(548, 1844, 907, 2203)(549, 1845, 634, 1930)(551, 1847, 825, 2121)(554, 1850, 706, 2002)(555, 1851, 647, 1943)(557, 1853, 863, 2159)(561, 1857, 1078, 2374)(564, 1860, 1082, 2378)(565, 1861, 1085, 2381)(567, 1863, 982, 2278)(568, 1864, 856, 2152)(570, 1866, 1092, 2388)(571, 1867, 1095, 2391)(573, 1869, 858, 2154)(575, 1871, 1100, 2396)(576, 1872, 932, 2228)(577, 1873, 613, 1909)(579, 1875, 1022, 2318)(582, 1878, 900, 2196)(583, 1879, 796, 2092)(585, 1881, 1112, 2408)(586, 1882, 1084, 2380)(587, 1883, 759, 2055)(589, 1885, 1002, 2298)(592, 1888, 798, 2094)(594, 1890, 967, 2263)(595, 1891, 714, 2010)(597, 1893, 889, 2185)(600, 1896, 726, 2022)(601, 1897, 663, 1959)(602, 1898, 926, 2222)(604, 1900, 898, 2194)(605, 1901, 1130, 2426)(608, 1904, 735, 2031)(609, 1905, 949, 2245)(610, 1906, 948, 2244)(612, 1908, 625, 1921)(615, 1911, 983, 2279)(617, 1913, 958, 2254)(618, 1914, 1139, 2435)(621, 1917, 1141, 2437)(622, 1918, 751, 2047)(627, 1923, 766, 2062)(628, 1924, 1016, 2312)(629, 1925, 690, 1986)(630, 1926, 1149, 2445)(632, 1928, 904, 2200)(633, 1929, 1152, 2448)(636, 1932, 1053, 2349)(637, 1933, 1052, 2348)(639, 1935, 758, 2054)(643, 1939, 1161, 2457)(645, 1941, 1072, 2368)(646, 1942, 988, 2284)(651, 1947, 960, 2256)(653, 1949, 1171, 2467)(654, 1950, 1094, 2390)(655, 1951, 917, 2213)(657, 1953, 997, 2293)(659, 1955, 677, 1973)(661, 1957, 1127, 2423)(662, 1958, 768, 2064)(665, 1961, 1061, 2357)(669, 1965, 1116, 2412)(670, 1966, 1041, 2337)(671, 1967, 977, 2273)(673, 1969, 1000, 2296)(675, 1971, 703, 1999)(679, 1975, 1194, 2490)(681, 1977, 1197, 2493)(682, 1978, 1114, 2410)(683, 1979, 1199, 2495)(685, 1981, 891, 2187)(688, 1984, 1150, 2446)(689, 1985, 728, 2024)(692, 1988, 1075, 2371)(693, 1989, 837, 2133)(696, 1992, 986, 2282)(697, 1993, 1029, 2325)(698, 1994, 1129, 2425)(700, 1996, 993, 2289)(705, 2001, 1217, 2513)(708, 2004, 810, 2106)(709, 2005, 1006, 2302)(710, 2006, 786, 2082)(712, 2008, 964, 2260)(713, 2009, 1102, 2398)(716, 2012, 1062, 2358)(718, 2014, 916, 2212)(722, 2018, 1201, 2497)(724, 2020, 1227, 2523)(729, 2025, 1014, 2310)(730, 2026, 811, 2107)(731, 2027, 1110, 2406)(733, 2029, 753, 2049)(734, 2030, 1166, 2462)(738, 2034, 976, 2272)(741, 2037, 1239, 2535)(745, 2041, 876, 2172)(746, 2042, 945, 2241)(747, 2043, 841, 2137)(749, 2045, 996, 2292)(750, 2046, 928, 2224)(754, 2050, 1076, 2372)(756, 2052, 1245, 2541)(761, 2057, 1174, 2470)(763, 2059, 963, 2259)(764, 2060, 855, 2151)(769, 2065, 1019, 2315)(770, 2066, 877, 2173)(771, 2067, 1090, 2386)(772, 2068, 1191, 2487)(774, 2070, 1255, 2551)(776, 2072, 1206, 2502)(778, 2074, 1229, 2525)(779, 2075, 1172, 2468)(780, 2076, 1155, 2451)(782, 2078, 950, 2246)(783, 2079, 912, 2208)(785, 2081, 860, 2156)(788, 2084, 1128, 2424)(789, 2085, 897, 2193)(792, 2088, 868, 2164)(793, 2089, 1035, 2331)(794, 2090, 1138, 2434)(800, 2096, 840, 2136)(802, 2098, 1146, 2442)(803, 2099, 852, 2148)(804, 2100, 1223, 2519)(807, 2103, 973, 2269)(809, 2105, 1233, 2529)(813, 2109, 1137, 2433)(814, 2110, 957, 2253)(817, 2113, 929, 2225)(818, 2114, 1011, 2307)(819, 2115, 1077, 2373)(820, 2116, 938, 2234)(823, 2119, 1180, 2476)(824, 2120, 1054, 2350)(826, 2122, 1059, 2355)(828, 2124, 1249, 2545)(829, 2125, 1198, 2494)(830, 2126, 1133, 2429)(831, 2127, 1242, 2538)(832, 2128, 906, 2202)(834, 2130, 1007, 2303)(835, 2131, 1071, 2367)(838, 2134, 1212, 2508)(843, 2139, 1265, 2561)(845, 2141, 1151, 2447)(846, 2142, 922, 2218)(849, 2145, 1025, 2321)(850, 2146, 1182, 2478)(853, 2149, 1046, 2342)(854, 2150, 1163, 2459)(865, 2161, 1231, 2527)(867, 2163, 1125, 2421)(869, 2165, 1244, 2540)(870, 2166, 1252, 2548)(871, 2167, 1051, 2347)(873, 2169, 979, 2275)(875, 2171, 1253, 2549)(878, 2174, 981, 2277)(880, 2176, 1162, 2458)(884, 2180, 1098, 2394)(886, 2182, 1103, 2399)(887, 2183, 954, 2250)(888, 2184, 1063, 2359)(890, 2186, 1020, 2316)(892, 2188, 1256, 2552)(894, 2190, 1237, 2533)(895, 2191, 939, 2235)(896, 2192, 1260, 2556)(899, 2195, 985, 2281)(901, 2197, 1200, 2496)(902, 2198, 1251, 2547)(903, 2199, 942, 2238)(909, 2205, 1106, 2402)(910, 2206, 1183, 2479)(911, 2207, 1089, 2385)(913, 2209, 924, 2220)(914, 2210, 923, 2219)(920, 2216, 1187, 2483)(927, 2223, 1147, 2443)(930, 2226, 1282, 2578)(933, 2229, 1049, 2345)(934, 2230, 1188, 2484)(935, 2231, 1037, 2333)(937, 2233, 1214, 2510)(940, 2236, 1243, 2539)(944, 2240, 1230, 2526)(947, 2243, 1285, 2581)(951, 2247, 1195, 2491)(952, 2248, 1159, 2455)(953, 2249, 994, 2290)(955, 2251, 1196, 2492)(956, 2252, 1050, 2346)(961, 2257, 1207, 2503)(962, 2258, 1204, 2500)(966, 2262, 1068, 2364)(969, 2265, 1168, 2464)(970, 2266, 1107, 2403)(971, 2267, 1074, 2370)(974, 2270, 980, 2276)(978, 2274, 1117, 2413)(984, 2280, 1218, 2514)(987, 2283, 1292, 2588)(989, 2285, 1058, 2354)(990, 2286, 1118, 2414)(991, 2287, 1080, 2376)(995, 2291, 1274, 2570)(998, 2294, 1268, 2564)(1001, 2297, 1293, 2589)(1003, 2299, 1294, 2590)(1005, 2301, 1250, 2546)(1008, 2304, 1169, 2465)(1010, 2306, 1176, 2472)(1013, 2309, 1209, 2505)(1015, 2311, 1193, 2489)(1018, 2314, 1184, 2480)(1021, 2317, 1288, 2584)(1023, 2319, 1284, 2580)(1026, 2322, 1142, 2438)(1028, 2324, 1190, 2486)(1031, 2327, 1165, 2461)(1032, 2328, 1108, 2404)(1034, 2330, 1120, 2416)(1038, 2334, 1121, 2417)(1040, 2336, 1215, 2511)(1043, 2339, 1140, 2436)(1044, 2340, 1088, 2384)(1045, 2341, 1097, 2393)(1048, 2344, 1111, 2407)(1057, 2353, 1170, 2466)(1060, 2356, 1269, 2565)(1065, 2361, 1091, 2387)(1066, 2362, 1105, 2401)(1067, 2363, 1271, 2567)(1069, 2365, 1208, 2504)(1070, 2366, 1109, 2405)(1073, 2369, 1087, 2383)(1079, 2375, 1086, 2382)(1081, 2377, 1132, 2428)(1083, 2379, 1259, 2555)(1093, 2389, 1192, 2488)(1096, 2392, 1131, 2427)(1099, 2395, 1154, 2450)(1101, 2397, 1270, 2566)(1104, 2400, 1224, 2520)(1113, 2409, 1167, 2463)(1115, 2411, 1266, 2562)(1119, 2415, 1153, 2449)(1122, 2418, 1157, 2453)(1123, 2419, 1248, 2544)(1124, 2420, 1238, 2534)(1126, 2422, 1220, 2516)(1134, 2430, 1254, 2550)(1135, 2431, 1143, 2439)(1136, 2432, 1232, 2528)(1144, 2440, 1228, 2524)(1145, 2441, 1216, 2512)(1148, 2444, 1241, 2537)(1156, 2452, 1236, 2532)(1158, 2454, 1181, 2477)(1160, 2456, 1213, 2509)(1164, 2460, 1290, 2586)(1173, 2469, 1272, 2568)(1175, 2471, 1222, 2518)(1177, 2473, 1185, 2481)(1178, 2474, 1235, 2531)(1179, 2475, 1246, 2542)(1186, 2482, 1247, 2543)(1189, 2485, 1205, 2501)(1202, 2498, 1210, 2506)(1203, 2499, 1234, 2530)(1211, 2507, 1226, 2522)(1219, 2515, 1279, 2575)(1221, 2517, 1262, 2558)(1225, 2521, 1258, 2554)(1240, 2536, 1275, 2571)(1257, 2553, 1276, 2572)(1261, 2557, 1263, 2559)(1264, 2560, 1289, 2585)(1267, 2563, 1273, 2569)(1277, 2573, 1296, 2592)(1278, 2574, 1281, 2577)(1280, 2576, 1283, 2579)(1286, 2582, 1291, 2587)(1287, 2583, 1295, 2591)
	L = (1, 1299)(2, 1301)(3, 1300)(4, 1297)(5, 1302)(6, 1298)(7, 1307)(8, 1309)(9, 1311)(10, 1313)(11, 1308)(12, 1303)(13, 1310)(14, 1304)(15, 1312)(16, 1305)(17, 1314)(18, 1306)(19, 1323)(20, 1325)(21, 1327)(22, 1329)(23, 1331)(24, 1333)(25, 1335)(26, 1337)(27, 1324)(28, 1315)(29, 1326)(30, 1316)(31, 1328)(32, 1317)(33, 1330)(34, 1318)(35, 1332)(36, 1319)(37, 1334)(38, 1320)(39, 1336)(40, 1321)(41, 1338)(42, 1322)(43, 1355)(44, 1357)(45, 1359)(46, 1361)(47, 1363)(48, 1365)(49, 1367)(50, 1369)(51, 1371)(52, 1373)(53, 1375)(54, 1377)(55, 1379)(56, 1381)(57, 1383)(58, 1385)(59, 1356)(60, 1339)(61, 1358)(62, 1340)(63, 1360)(64, 1341)(65, 1362)(66, 1342)(67, 1364)(68, 1343)(69, 1366)(70, 1344)(71, 1368)(72, 1345)(73, 1370)(74, 1346)(75, 1372)(76, 1347)(77, 1374)(78, 1348)(79, 1376)(80, 1349)(81, 1378)(82, 1350)(83, 1380)(84, 1351)(85, 1382)(86, 1352)(87, 1384)(88, 1353)(89, 1386)(90, 1354)(91, 1415)(92, 1417)(93, 1419)(94, 1421)(95, 1423)(96, 1425)(97, 1427)(98, 1393)(99, 1428)(100, 1430)(101, 1432)(102, 1434)(103, 1436)(104, 1438)(105, 1440)(106, 1442)(107, 1444)(108, 1446)(109, 1448)(110, 1450)(111, 1452)(112, 1407)(113, 1453)(114, 1455)(115, 1457)(116, 1459)(117, 1461)(118, 1463)(119, 1416)(120, 1387)(121, 1418)(122, 1388)(123, 1420)(124, 1389)(125, 1422)(126, 1390)(127, 1424)(128, 1391)(129, 1426)(130, 1392)(131, 1394)(132, 1429)(133, 1395)(134, 1431)(135, 1396)(136, 1433)(137, 1397)(138, 1435)(139, 1398)(140, 1437)(141, 1399)(142, 1439)(143, 1400)(144, 1441)(145, 1401)(146, 1443)(147, 1402)(148, 1445)(149, 1403)(150, 1447)(151, 1404)(152, 1449)(153, 1405)(154, 1451)(155, 1406)(156, 1408)(157, 1454)(158, 1409)(159, 1456)(160, 1410)(161, 1458)(162, 1411)(163, 1460)(164, 1412)(165, 1462)(166, 1413)(167, 1464)(168, 1414)(169, 1515)(170, 1517)(171, 1519)(172, 1521)(173, 1523)(174, 1525)(175, 1470)(176, 1526)(177, 1528)(178, 1530)(179, 1532)(180, 1534)(181, 1536)(182, 1538)(183, 1540)(184, 1542)(185, 1544)(186, 1546)(187, 1548)(188, 1483)(189, 1549)(190, 1551)(191, 1553)(192, 1555)(193, 1557)(194, 1559)(195, 1688)(196, 1606)(197, 1691)(198, 1689)(199, 1694)(200, 1495)(201, 1696)(202, 1589)(203, 1699)(204, 1567)(205, 1702)(206, 1700)(207, 1563)(208, 1706)(209, 1612)(210, 1709)(211, 1707)(212, 1711)(213, 1508)(214, 1713)(215, 1592)(216, 1716)(217, 1560)(218, 1718)(219, 1516)(220, 1465)(221, 1518)(222, 1466)(223, 1520)(224, 1467)(225, 1522)(226, 1468)(227, 1524)(228, 1469)(229, 1471)(230, 1527)(231, 1472)(232, 1529)(233, 1473)(234, 1531)(235, 1474)(236, 1533)(237, 1475)(238, 1535)(239, 1476)(240, 1537)(241, 1477)(242, 1539)(243, 1478)(244, 1541)(245, 1479)(246, 1543)(247, 1480)(248, 1545)(249, 1481)(250, 1547)(251, 1482)(252, 1484)(253, 1550)(254, 1485)(255, 1552)(256, 1486)(257, 1554)(258, 1487)(259, 1556)(260, 1488)(261, 1558)(262, 1489)(263, 1790)(264, 1693)(265, 1793)(266, 1795)(267, 1799)(268, 1802)(269, 1806)(270, 1810)(271, 1620)(272, 1772)(273, 1818)(274, 1821)(275, 1824)(276, 1827)(277, 1715)(278, 1626)(279, 1502)(280, 1836)(281, 1593)(282, 1736)(283, 1684)(284, 1636)(285, 1850)(286, 1587)(287, 1856)(288, 1860)(289, 1863)(290, 1866)(291, 1854)(292, 1871)(293, 1875)(294, 1878)(295, 1881)(296, 1885)(297, 1768)(298, 1633)(299, 1678)(300, 1896)(301, 1572)(302, 1900)(303, 1675)(304, 1627)(305, 1908)(306, 1585)(307, 1913)(308, 1623)(309, 1704)(310, 1921)(311, 1923)(312, 1570)(313, 1928)(314, 1698)(315, 1616)(316, 1935)(317, 1728)(318, 1590)(319, 1941)(320, 1933)(321, 1947)(322, 1949)(323, 1953)(324, 1500)(325, 1957)(326, 1961)(327, 1918)(328, 1965)(329, 1969)(330, 1732)(331, 1906)(332, 1975)(333, 1977)(334, 1981)(335, 1984)(336, 1988)(337, 1891)(338, 1992)(339, 1996)(340, 1848)(341, 2001)(342, 2002)(343, 2004)(344, 2008)(345, 1932)(346, 1622)(347, 2014)(348, 1764)(349, 1617)(350, 2020)(351, 2022)(352, 2024)(353, 1569)(354, 2029)(355, 2012)(356, 2034)(357, 1497)(358, 2037)(359, 2039)(360, 2041)(361, 2045)(362, 1905)(363, 1632)(364, 2052)(365, 2054)(366, 1628)(367, 2059)(368, 2062)(369, 2064)(370, 1571)(371, 1783)(372, 2050)(373, 2070)(374, 2072)(375, 2074)(376, 2078)(377, 2081)(378, 2084)(379, 1904)(380, 2088)(381, 2091)(382, 1894)(383, 2096)(384, 2098)(385, 2102)(386, 2105)(387, 2109)(388, 1845)(389, 2113)(390, 2116)(391, 2119)(392, 2121)(393, 2122)(394, 2124)(395, 1837)(396, 2130)(397, 1513)(398, 1496)(399, 2136)(400, 1653)(401, 2141)(402, 1931)(403, 2144)(404, 1575)(405, 2148)(406, 2151)(407, 2104)(408, 1920)(409, 2156)(410, 2159)(411, 2160)(412, 2163)(413, 1924)(414, 2073)(415, 1509)(416, 2171)(417, 1834)(418, 2176)(419, 1831)(420, 2179)(421, 2182)(422, 2185)(423, 2186)(424, 1638)(425, 2189)(426, 1846)(427, 2191)(428, 1719)(429, 2194)(430, 2048)(431, 1725)(432, 1937)(433, 1847)(434, 1674)(435, 2203)(436, 1574)(437, 2068)(438, 2208)(439, 2212)(440, 1842)(441, 1670)(442, 2218)(443, 2183)(444, 1643)(445, 2106)(446, 2201)(447, 2228)(448, 2221)(449, 1584)(450, 2232)(451, 1667)(452, 1746)(453, 1910)(454, 2202)(455, 1619)(456, 2238)(457, 1561)(458, 2243)(459, 1879)(460, 1647)(461, 2178)(462, 1892)(463, 2249)(464, 2244)(465, 2254)(466, 2199)(467, 1761)(468, 2016)(469, 1893)(470, 1683)(471, 2263)(472, 1577)(473, 2233)(474, 2269)(475, 2272)(476, 1816)(477, 1679)(478, 2275)(479, 2241)(480, 1652)(481, 1985)(482, 2261)(483, 2284)(484, 2278)(485, 1586)(486, 2288)(487, 1747)(488, 1782)(489, 1852)(490, 2262)(491, 1625)(492, 2292)(493, 1655)(494, 1490)(495, 1721)(496, 1757)(497, 1753)(498, 1800)(499, 1797)(500, 2300)(501, 1562)(502, 1664)(503, 1503)(504, 2111)(505, 1819)(506, 1804)(507, 2295)(508, 1564)(509, 1822)(510, 1808)(511, 2132)(512, 1565)(513, 1825)(514, 1812)(515, 1722)(516, 1566)(517, 1796)(518, 1828)(519, 1785)(520, 1568)(521, 1741)(522, 1649)(523, 1990)(524, 1777)(525, 1608)(526, 2086)(527, 1876)(528, 1666)(529, 1963)(530, 1886)(531, 1597)(532, 2143)(533, 1861)(534, 1758)(535, 1573)(536, 1803)(537, 1864)(538, 1510)(539, 1867)(540, 1838)(541, 1493)(542, 1576)(543, 1807)(544, 1869)(545, 1749)(546, 1578)(547, 1872)(548, 2305)(549, 1579)(550, 1811)(551, 2200)(552, 1580)(553, 1882)(554, 1851)(555, 1581)(556, 1815)(557, 2368)(558, 1582)(559, 1888)(560, 1858)(561, 1954)(562, 1583)(563, 1945)(564, 1745)(565, 1877)(566, 1843)(567, 1602)(568, 2349)(569, 1962)(570, 1781)(571, 1946)(572, 1889)(573, 2358)(574, 1973)(575, 1873)(576, 1862)(577, 1588)(578, 1660)(579, 1498)(580, 2172)(581, 1829)(582, 1614)(583, 2245)(584, 1989)(585, 1883)(586, 1974)(587, 1591)(588, 1669)(589, 1511)(590, 1958)(591, 1916)(592, 2372)(593, 1942)(594, 2323)(595, 1594)(596, 1830)(597, 2260)(598, 1595)(599, 1950)(600, 1897)(601, 1596)(602, 2423)(603, 1955)(604, 1902)(605, 1970)(606, 1598)(607, 2329)(608, 1599)(609, 2049)(610, 1600)(611, 1966)(612, 1909)(613, 1601)(614, 1841)(615, 2396)(616, 1971)(617, 1915)(618, 1887)(619, 1603)(620, 1914)(621, 2335)(622, 1604)(623, 1844)(624, 1605)(625, 1492)(626, 1978)(627, 1925)(628, 1506)(629, 1607)(630, 2446)(631, 1750)(632, 1930)(633, 1998)(634, 1609)(635, 1610)(636, 2011)(637, 1611)(638, 1853)(639, 1505)(640, 1993)(641, 1613)(642, 1857)(643, 2378)(644, 1999)(645, 1943)(646, 1868)(647, 1615)(648, 1733)(649, 2235)(650, 1835)(651, 1645)(652, 2085)(653, 1951)(654, 2071)(655, 1618)(656, 1754)(657, 1751)(658, 1938)(659, 2128)(660, 2094)(661, 1959)(662, 1826)(663, 1621)(664, 1769)(665, 1642)(666, 2290)(667, 1809)(668, 2110)(669, 1967)(670, 2095)(671, 1624)(672, 1654)(673, 1787)(674, 2017)(675, 2364)(676, 2123)(677, 2317)(678, 1849)(679, 1662)(680, 2142)(681, 1979)(682, 2118)(683, 1629)(684, 2146)(685, 1982)(686, 1630)(687, 2154)(688, 1986)(689, 1820)(690, 1631)(691, 2161)(692, 1659)(693, 2297)(694, 1801)(695, 2177)(696, 1994)(697, 2155)(698, 1634)(699, 1637)(700, 1997)(701, 1635)(702, 2056)(703, 2347)(704, 1890)(705, 1995)(706, 1720)(707, 2075)(708, 2006)(709, 1742)(710, 1639)(711, 1786)(712, 2010)(713, 2093)(714, 1640)(715, 1641)(716, 2032)(717, 1898)(718, 1740)(719, 2089)(720, 1644)(721, 1901)(722, 2388)(723, 1903)(724, 2021)(725, 1646)(726, 1756)(727, 2099)(728, 2026)(729, 1778)(730, 1648)(731, 2529)(732, 1668)(733, 2031)(734, 1972)(735, 1650)(736, 1651)(737, 1911)(738, 1776)(739, 2114)(740, 1917)(741, 1968)(742, 1788)(743, 1789)(744, 2125)(745, 2043)(746, 2318)(747, 1656)(748, 2133)(749, 2047)(750, 2153)(751, 1657)(752, 2196)(753, 1658)(754, 2028)(755, 1926)(756, 1874)(757, 2149)(758, 2055)(759, 1661)(760, 1929)(761, 2408)(762, 1744)(763, 2061)(764, 2496)(765, 1663)(766, 1798)(767, 2164)(768, 2066)(769, 2298)(770, 1665)(771, 2549)(772, 1944)(773, 1939)(774, 1884)(775, 1895)(776, 1737)(777, 2169)(778, 2076)(779, 2181)(780, 1671)(781, 2205)(782, 2079)(783, 1672)(784, 2214)(785, 2082)(786, 1673)(787, 2223)(788, 1730)(789, 2299)(790, 1805)(791, 2237)(792, 2090)(793, 2406)(794, 1676)(795, 2092)(796, 1677)(797, 2215)(798, 2356)(799, 1907)(800, 1773)(801, 2259)(802, 2100)(803, 2526)(804, 1680)(805, 2265)(806, 2103)(807, 1681)(808, 2152)(809, 2107)(810, 1817)(811, 1682)(812, 2280)(813, 1766)(814, 2294)(815, 1794)(816, 2040)(817, 2115)(818, 2445)(819, 1685)(820, 2117)(821, 1686)(822, 1922)(823, 2120)(824, 1687)(825, 1491)(826, 1494)(827, 2030)(828, 2126)(829, 2112)(830, 1690)(831, 1697)(832, 1899)(833, 2375)(834, 2131)(835, 1692)(836, 1839)(837, 2167)(838, 2493)(839, 2332)(840, 2137)(841, 1695)(842, 2193)(843, 2477)(844, 2533)(845, 2127)(846, 2283)(847, 1814)(848, 1499)(849, 2516)(850, 2460)(851, 2472)(852, 2150)(853, 2386)(854, 1701)(855, 1501)(856, 1703)(857, 2350)(858, 2209)(859, 1936)(860, 2157)(861, 1705)(862, 2348)(863, 1504)(864, 1507)(865, 2501)(866, 2523)(867, 2165)(868, 2546)(869, 1708)(870, 1714)(871, 2044)(872, 2311)(873, 1710)(874, 2282)(875, 2173)(876, 1823)(877, 1712)(878, 2080)(879, 2570)(880, 2166)(881, 2188)(882, 1792)(883, 1512)(884, 2571)(885, 2003)(886, 2184)(887, 2222)(888, 1717)(889, 1514)(890, 1724)(891, 2574)(892, 1991)(893, 1791)(894, 2145)(895, 2192)(896, 1723)(897, 2565)(898, 1727)(899, 2513)(900, 1726)(901, 2490)(902, 2558)(903, 2256)(904, 1729)(905, 2005)(906, 1927)(907, 2204)(908, 1731)(909, 2475)(910, 2410)(911, 2333)(912, 2210)(913, 1983)(914, 1734)(915, 2207)(916, 2213)(917, 1735)(918, 2174)(919, 2009)(920, 2467)(921, 1780)(922, 2220)(923, 2503)(924, 1738)(925, 2058)(926, 1739)(927, 2449)(928, 2439)(929, 2505)(930, 2097)(931, 2225)(932, 2230)(933, 2293)(934, 1743)(935, 2537)(936, 1748)(937, 1960)(938, 2444)(939, 1859)(940, 2481)(941, 2247)(942, 2239)(943, 1752)(944, 2409)(945, 2279)(946, 2018)(947, 1952)(948, 2252)(949, 1755)(950, 2582)(951, 2087)(952, 2461)(953, 2251)(954, 2357)(955, 1759)(956, 1760)(957, 2584)(958, 1763)(959, 2253)(960, 1762)(961, 2502)(962, 2499)(963, 2226)(964, 1765)(965, 2025)(966, 2007)(967, 2264)(968, 1767)(969, 2397)(970, 2468)(971, 2376)(972, 2027)(973, 2270)(974, 1770)(975, 2267)(976, 2273)(977, 1771)(978, 2412)(979, 2277)(980, 2135)(981, 1774)(982, 2217)(983, 1775)(984, 2518)(985, 2405)(986, 2489)(987, 1976)(988, 2286)(989, 2296)(990, 1779)(991, 2575)(992, 1784)(993, 2515)(994, 1865)(995, 2180)(996, 2038)(997, 2579)(998, 1964)(999, 1832)(1000, 2536)(1001, 1880)(1002, 2548)(1003, 1948)(1004, 1813)(1005, 2389)(1006, 2457)(1007, 2591)(1008, 2147)(1009, 1919)(1010, 2589)(1011, 2371)(1012, 2060)(1013, 2336)(1014, 2497)(1015, 2379)(1016, 2437)(1017, 2352)(1018, 2324)(1019, 2470)(1020, 2422)(1021, 1870)(1022, 2538)(1023, 2162)(1024, 2312)(1025, 2569)(1026, 2479)(1027, 2000)(1028, 2590)(1029, 2424)(1030, 2219)(1031, 2592)(1032, 2403)(1033, 2019)(1034, 2564)(1035, 2433)(1036, 2276)(1037, 2211)(1038, 2504)(1039, 2036)(1040, 2588)(1041, 2447)(1042, 2139)(1043, 2585)(1044, 2383)(1045, 2552)(1046, 2458)(1047, 2313)(1048, 2330)(1049, 2483)(1050, 2432)(1051, 1940)(1052, 2567)(1053, 1833)(1054, 2046)(1055, 2302)(1056, 2343)(1057, 2306)(1058, 2413)(1059, 2367)(1060, 1956)(1061, 2544)(1062, 1840)(1063, 2195)(1064, 2310)(1065, 2341)(1066, 2508)(1067, 2198)(1068, 1912)(1069, 2390)(1070, 2321)(1071, 2561)(1072, 1934)(1073, 2494)(1074, 2394)(1075, 2524)(1076, 1855)(1077, 2562)(1078, 2315)(1079, 2500)(1080, 2271)(1081, 2534)(1082, 2069)(1083, 2168)(1084, 2517)(1085, 2456)(1086, 2134)(1087, 2393)(1088, 2491)(1089, 2473)(1090, 2053)(1091, 2550)(1092, 2242)(1093, 2578)(1094, 2530)(1095, 2521)(1096, 2572)(1097, 2340)(1098, 2469)(1099, 2512)(1100, 2033)(1101, 2101)(1102, 2418)(1103, 2480)(1104, 2381)(1105, 2187)(1106, 2216)(1107, 2416)(1108, 2465)(1109, 2498)(1110, 2015)(1111, 2532)(1112, 2478)(1113, 2580)(1114, 2531)(1115, 2385)(1116, 2464)(1117, 2435)(1118, 2289)(1119, 2559)(1120, 2328)(1121, 2384)(1122, 2553)(1123, 2258)(1124, 2337)(1125, 2327)(1126, 2509)(1127, 2013)(1128, 2441)(1129, 2568)(1130, 2345)(1131, 2140)(1132, 2369)(1133, 2560)(1134, 2380)(1135, 2303)(1136, 2554)(1137, 2507)(1138, 2543)(1139, 2354)(1140, 2547)(1141, 2320)(1142, 2404)(1143, 2557)(1144, 2542)(1145, 2325)(1146, 2339)(1147, 2231)(1148, 2484)(1149, 2035)(1150, 2051)(1151, 2420)(1152, 2362)(1153, 2083)(1154, 2266)(1155, 2573)(1156, 2391)(1157, 2246)(1158, 2476)(1159, 2436)(1160, 2400)(1161, 2351)(1162, 2482)(1163, 2522)(1164, 1980)(1165, 2528)(1166, 2429)(1167, 2407)(1168, 2274)(1169, 2438)(1170, 2454)(1171, 2402)(1172, 2450)(1173, 2370)(1174, 2374)(1175, 2506)(1176, 2304)(1177, 2411)(1178, 2440)(1179, 2077)(1180, 2466)(1181, 2338)(1182, 2057)(1183, 2486)(1184, 2520)(1185, 2576)(1186, 2342)(1187, 2426)(1188, 2234)(1189, 2540)(1190, 2322)(1191, 2451)(1192, 2387)(1193, 2170)(1194, 2556)(1195, 2417)(1196, 2257)(1197, 2382)(1198, 2428)(1199, 2563)(1200, 2308)(1201, 2360)(1202, 2281)(1203, 2419)(1204, 2129)(1205, 1987)(1206, 2492)(1207, 2326)(1208, 2511)(1209, 2227)(1210, 2577)(1211, 2331)(1212, 2448)(1213, 2316)(1214, 2519)(1215, 2334)(1216, 2566)(1217, 2359)(1218, 2287)(1219, 2414)(1220, 2190)(1221, 2430)(1222, 2108)(1223, 2583)(1224, 2399)(1225, 2452)(1226, 2586)(1227, 2319)(1228, 2307)(1229, 2392)(1230, 2023)(1231, 2067)(1232, 2248)(1233, 2268)(1234, 2365)(1235, 2206)(1236, 2463)(1237, 2427)(1238, 2555)(1239, 2373)(1240, 2285)(1241, 2443)(1242, 2042)(1243, 2175)(1244, 2587)(1245, 2495)(1246, 2474)(1247, 2581)(1248, 2250)(1249, 2415)(1250, 2063)(1251, 2455)(1252, 2065)(1253, 2527)(1254, 2488)(1255, 2425)(1256, 2361)(1257, 2398)(1258, 2346)(1259, 2377)(1260, 2197)(1261, 2224)(1262, 2363)(1263, 2545)(1264, 2462)(1265, 2355)(1266, 2535)(1267, 2541)(1268, 2344)(1269, 2138)(1270, 2395)(1271, 2158)(1272, 2551)(1273, 2366)(1274, 2539)(1275, 2291)(1276, 2525)(1277, 2487)(1278, 2401)(1279, 2514)(1280, 2236)(1281, 2471)(1282, 2301)(1283, 2229)(1284, 2240)(1285, 2434)(1286, 2453)(1287, 2510)(1288, 2255)(1289, 2442)(1290, 2459)(1291, 2485)(1292, 2309)(1293, 2353)(1294, 2314)(1295, 2431)(1296, 2421)
	local type(s) :: { ( 3, 8, 3, 8 ) }
Outer automorphisms :: chiral
Dual of E28.3362
Transitivity :: ET+ VT+
Graph:: simple
	v = 648 e = 1296 f = 594
	degree seq :: [ 4^648 ]

E28.3365 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 3, 8})
Quotient :: loop
Aut^+ = $<1296, 2889>$ (small group id <1296, 2889>)
Aut   = $<1296, 2889>$ (small group id <1296, 2889>)
|r| :: 1
Presentation :: [ X1^3, (X1 * X2)^2, X2^8, (X2^-3 * X1^-1 * X2^2 * X1^-1 * X2^-2 * X1)^2, X2^3 * X1^-1 * X2^-2 * X1 * X2^-2 * X1 * X2^-4 * X1^-1 * X2 * X1^-1 * X2^-2 * X1, X1 * X2^-1 * X1 * X2^-2 * X1^-1 * X2 * X1^-1 * X2^2 * X1^-1 * X2 * X1 * X2^-2 * X1^-1 * X2 * X1^-1 * X2^-3 * X1 * X2^-1, (X2^3 * X1^-1)^6, X2^-3 * X1^-1 * X2 * X1^-1 * X2^3 * X1 * X2^-2 * X1 * X2^2 * X1^-1 * X2^2 * X1^-1 * X2^2 * X1^-1 * X2^3 * X1^-1, X2^-2 * X1 * X2^-2 * X1 * X2^-2 * X1^-1 * X2^3 * X1 * X2^-2 * X1 * X2^-2 * X1^-1 * X2 * X1^-1 * X2^-3 * X1 * X2 * X1^-1 ]
Map::
	R = (1, 1297, 2, 1298, 4, 1300)(3, 1299, 8, 1304, 10, 1306)(5, 1301, 12, 1308, 6, 1302)(7, 1303, 15, 1311, 11, 1307)(9, 1305, 18, 1314, 20, 1316)(13, 1309, 25, 1321, 23, 1319)(14, 1310, 24, 1320, 28, 1324)(16, 1312, 31, 1327, 29, 1325)(17, 1313, 33, 1329, 21, 1317)(19, 1315, 36, 1332, 38, 1334)(22, 1318, 30, 1326, 42, 1338)(26, 1322, 47, 1343, 45, 1341)(27, 1323, 48, 1344, 50, 1346)(32, 1328, 56, 1352, 54, 1350)(34, 1330, 59, 1355, 57, 1353)(35, 1331, 61, 1357, 39, 1335)(37, 1333, 64, 1360, 65, 1361)(40, 1336, 58, 1354, 69, 1365)(41, 1337, 70, 1366, 71, 1367)(43, 1339, 46, 1342, 74, 1370)(44, 1340, 75, 1371, 51, 1347)(49, 1345, 81, 1377, 82, 1378)(52, 1348, 55, 1351, 86, 1382)(53, 1349, 87, 1383, 72, 1368)(60, 1356, 96, 1392, 94, 1390)(62, 1358, 99, 1395, 97, 1393)(63, 1359, 101, 1397, 66, 1362)(67, 1363, 98, 1394, 107, 1403)(68, 1364, 108, 1404, 109, 1405)(73, 1369, 114, 1410, 116, 1412)(76, 1372, 120, 1416, 118, 1414)(77, 1373, 79, 1375, 122, 1418)(78, 1374, 123, 1419, 117, 1413)(80, 1376, 126, 1422, 83, 1379)(84, 1380, 119, 1415, 132, 1428)(85, 1381, 133, 1429, 135, 1431)(88, 1384, 139, 1435, 137, 1433)(89, 1385, 91, 1387, 141, 1437)(90, 1386, 142, 1438, 136, 1432)(92, 1388, 95, 1391, 146, 1442)(93, 1389, 147, 1443, 110, 1406)(100, 1396, 156, 1452, 154, 1450)(102, 1398, 159, 1455, 157, 1453)(103, 1399, 161, 1457, 104, 1400)(105, 1401, 158, 1454, 165, 1461)(106, 1402, 166, 1462, 167, 1463)(111, 1407, 172, 1468, 112, 1408)(113, 1409, 138, 1434, 176, 1472)(115, 1411, 178, 1474, 179, 1475)(121, 1417, 185, 1481, 187, 1483)(124, 1420, 191, 1487, 189, 1485)(125, 1421, 192, 1488, 188, 1484)(127, 1423, 196, 1492, 194, 1490)(128, 1424, 198, 1494, 129, 1425)(130, 1426, 195, 1491, 202, 1498)(131, 1427, 203, 1499, 204, 1500)(134, 1430, 207, 1503, 208, 1504)(140, 1436, 214, 1510, 216, 1512)(143, 1439, 220, 1516, 218, 1514)(144, 1440, 221, 1517, 217, 1513)(145, 1441, 223, 1519, 225, 1521)(148, 1444, 229, 1525, 227, 1523)(149, 1445, 151, 1447, 231, 1527)(150, 1446, 232, 1528, 226, 1522)(152, 1448, 155, 1451, 236, 1532)(153, 1449, 237, 1533, 168, 1464)(160, 1456, 246, 1542, 244, 1540)(162, 1458, 249, 1545, 247, 1543)(163, 1459, 248, 1544, 252, 1548)(164, 1460, 253, 1549, 254, 1550)(169, 1465, 259, 1555, 170, 1466)(171, 1467, 228, 1524, 263, 1559)(173, 1469, 266, 1562, 264, 1560)(174, 1470, 265, 1561, 269, 1565)(175, 1471, 270, 1566, 271, 1567)(177, 1473, 273, 1569, 180, 1476)(181, 1477, 190, 1486, 279, 1575)(182, 1478, 184, 1480, 281, 1577)(183, 1479, 282, 1578, 205, 1501)(186, 1482, 286, 1582, 287, 1583)(193, 1489, 295, 1591, 293, 1589)(197, 1493, 300, 1596, 298, 1594)(199, 1495, 303, 1599, 301, 1597)(200, 1496, 302, 1598, 306, 1602)(201, 1497, 307, 1603, 308, 1604)(206, 1502, 313, 1609, 209, 1505)(210, 1506, 219, 1515, 319, 1615)(211, 1507, 213, 1509, 321, 1617)(212, 1508, 322, 1618, 272, 1568)(215, 1511, 326, 1622, 327, 1623)(222, 1518, 335, 1631, 333, 1629)(224, 1520, 337, 1633, 338, 1634)(230, 1526, 344, 1640, 346, 1642)(233, 1529, 350, 1646, 348, 1644)(234, 1530, 351, 1647, 347, 1643)(235, 1531, 353, 1649, 355, 1651)(238, 1534, 359, 1655, 357, 1653)(239, 1535, 241, 1537, 361, 1657)(240, 1536, 362, 1658, 356, 1652)(242, 1538, 245, 1541, 366, 1662)(243, 1539, 367, 1663, 255, 1551)(250, 1546, 376, 1672, 374, 1670)(251, 1547, 377, 1673, 378, 1674)(256, 1552, 383, 1679, 257, 1553)(258, 1554, 358, 1654, 387, 1683)(260, 1556, 390, 1686, 388, 1684)(261, 1557, 389, 1685, 393, 1689)(262, 1558, 394, 1690, 395, 1691)(267, 1563, 401, 1697, 399, 1695)(268, 1564, 402, 1698, 403, 1699)(274, 1570, 410, 1706, 408, 1704)(275, 1571, 412, 1708, 276, 1572)(277, 1573, 409, 1705, 416, 1712)(278, 1574, 417, 1713, 418, 1714)(280, 1576, 420, 1716, 422, 1718)(283, 1579, 426, 1722, 424, 1720)(284, 1580, 427, 1723, 423, 1719)(285, 1581, 429, 1725, 288, 1584)(289, 1585, 294, 1590, 435, 1731)(290, 1586, 292, 1588, 437, 1733)(291, 1587, 438, 1734, 419, 1715)(296, 1592, 299, 1595, 445, 1741)(297, 1593, 446, 1742, 309, 1605)(304, 1600, 455, 1751, 453, 1749)(305, 1601, 456, 1752, 457, 1753)(310, 1606, 462, 1758, 311, 1607)(312, 1608, 425, 1721, 466, 1762)(314, 1610, 469, 1765, 467, 1763)(315, 1611, 471, 1767, 316, 1612)(317, 1613, 468, 1764, 475, 1771)(318, 1614, 476, 1772, 477, 1773)(320, 1616, 479, 1775, 481, 1777)(323, 1619, 485, 1781, 483, 1779)(324, 1620, 486, 1782, 482, 1778)(325, 1621, 488, 1784, 328, 1624)(329, 1625, 334, 1630, 494, 1790)(330, 1626, 332, 1628, 496, 1792)(331, 1627, 497, 1793, 478, 1774)(336, 1632, 503, 1799, 339, 1635)(340, 1636, 349, 1645, 509, 1805)(341, 1637, 343, 1639, 511, 1807)(342, 1638, 512, 1808, 396, 1692)(345, 1641, 516, 1812, 517, 1813)(352, 1648, 525, 1821, 523, 1819)(354, 1650, 458, 1754, 452, 1748)(360, 1656, 491, 1787, 490, 1786)(363, 1659, 536, 1832, 534, 1830)(364, 1660, 537, 1833, 533, 1829)(365, 1661, 539, 1835, 541, 1837)(368, 1664, 543, 1839, 447, 1743)(369, 1665, 371, 1667, 545, 1841)(370, 1666, 546, 1842, 542, 1838)(372, 1668, 375, 1671, 550, 1846)(373, 1669, 480, 1776, 379, 1675)(380, 1676, 556, 1852, 381, 1677)(382, 1678, 444, 1740, 560, 1856)(384, 1680, 563, 1859, 561, 1857)(385, 1681, 562, 1858, 566, 1862)(386, 1682, 567, 1863, 568, 1864)(391, 1687, 574, 1870, 572, 1868)(392, 1688, 575, 1871, 576, 1872)(397, 1693, 400, 1696, 582, 1878)(398, 1694, 540, 1836, 404, 1700)(405, 1701, 588, 1884, 406, 1702)(407, 1703, 484, 1780, 592, 1888)(411, 1707, 595, 1891, 593, 1889)(413, 1709, 597, 1893, 596, 1892)(414, 1710, 506, 1802, 505, 1801)(415, 1711, 600, 1896, 601, 1897)(421, 1717, 518, 1814, 515, 1811)(428, 1724, 614, 1910, 612, 1908)(430, 1726, 615, 1911, 513, 1809)(431, 1727, 473, 1769, 432, 1728)(433, 1729, 510, 1806, 619, 1915)(434, 1730, 620, 1916, 621, 1917)(436, 1732, 623, 1919, 492, 1788)(439, 1735, 489, 1785, 625, 1921)(440, 1736, 627, 1923, 624, 1920)(441, 1737, 443, 1739, 630, 1926)(442, 1738, 631, 1927, 622, 1918)(448, 1744, 450, 1746, 636, 1932)(449, 1745, 637, 1933, 634, 1930)(451, 1747, 454, 1750, 641, 1937)(459, 1755, 647, 1943, 460, 1756)(461, 1757, 581, 1877, 651, 1947)(463, 1759, 654, 1950, 652, 1948)(464, 1760, 653, 1949, 657, 1953)(465, 1761, 658, 1954, 659, 1955)(470, 1766, 663, 1959, 661, 1957)(472, 1768, 665, 1961, 664, 1960)(474, 1770, 668, 1964, 669, 1965)(487, 1783, 680, 1976, 678, 1974)(493, 1789, 684, 1980, 685, 1981)(495, 1791, 687, 1983, 507, 1803)(498, 1794, 504, 1800, 689, 1985)(499, 1795, 691, 1987, 688, 1984)(500, 1796, 502, 1798, 694, 1990)(501, 1797, 695, 1991, 686, 1982)(508, 1804, 701, 1997, 702, 1998)(514, 1810, 706, 2002, 704, 2000)(519, 1815, 524, 1820, 711, 2007)(520, 1816, 522, 1818, 713, 2009)(521, 1817, 714, 2010, 703, 1999)(526, 1822, 720, 2016, 527, 1823)(528, 1824, 535, 1831, 724, 2020)(529, 1825, 531, 1827, 602, 1898)(530, 1826, 594, 1890, 569, 1865)(532, 1828, 682, 1978, 725, 2021)(538, 1834, 731, 2027, 729, 2025)(544, 1840, 709, 2005, 708, 2004)(547, 1843, 739, 2035, 737, 2033)(548, 1844, 740, 2036, 736, 2032)(549, 1845, 742, 2038, 743, 2039)(551, 1847, 553, 1849, 746, 2042)(552, 1848, 747, 2043, 744, 2040)(554, 1850, 635, 1931, 555, 1851)(557, 1853, 753, 2049, 751, 2047)(558, 1854, 752, 2048, 756, 2052)(559, 1855, 757, 2053, 758, 2054)(564, 1860, 763, 2059, 761, 2057)(565, 1861, 764, 2060, 765, 2061)(570, 1866, 573, 1869, 770, 2066)(571, 1867, 677, 1973, 577, 1873)(578, 1874, 776, 2072, 579, 1875)(580, 1876, 705, 2001, 780, 2076)(583, 1879, 585, 1881, 783, 2079)(584, 1880, 784, 2080, 781, 2077)(586, 1882, 787, 2083, 587, 1883)(589, 1885, 792, 2088, 790, 2086)(590, 1886, 791, 2087, 795, 2091)(591, 1887, 796, 2092, 797, 2093)(598, 1894, 801, 2097, 799, 2095)(599, 1895, 699, 1995, 802, 2098)(603, 1899, 806, 2102, 604, 1900)(605, 1901, 626, 1922, 810, 2106)(606, 1902, 811, 2107, 607, 1903)(608, 1904, 613, 1909, 815, 2111)(609, 1905, 611, 1907, 670, 1966)(610, 1906, 662, 1958, 660, 1956)(616, 1912, 766, 2062, 760, 2056)(617, 1913, 819, 2115, 667, 1963)(618, 1914, 821, 2117, 822, 2118)(628, 1924, 832, 2128, 830, 2126)(629, 1925, 833, 2129, 813, 2109)(632, 1928, 812, 2108, 835, 2131)(633, 1929, 837, 2133, 834, 2130)(638, 1934, 844, 2140, 842, 2138)(639, 1935, 845, 2141, 841, 2137)(640, 1936, 847, 2143, 805, 2101)(642, 1938, 644, 1940, 850, 2146)(643, 1939, 851, 2147, 848, 2144)(645, 1941, 782, 2078, 646, 1942)(648, 1944, 857, 2153, 855, 2151)(649, 1945, 856, 2152, 860, 2156)(650, 1946, 861, 2157, 862, 2158)(655, 1951, 865, 2161, 863, 2159)(656, 1952, 866, 2162, 867, 2163)(666, 1962, 874, 2170, 873, 2169)(671, 1967, 878, 2174, 672, 1968)(673, 1969, 690, 1986, 882, 2178)(674, 1970, 883, 2179, 675, 1971)(676, 1972, 679, 1975, 887, 2183)(681, 1977, 868, 2164, 828, 2124)(683, 1979, 826, 2122, 892, 2188)(692, 1988, 730, 2026, 900, 2196)(693, 1989, 902, 2198, 885, 2181)(696, 1992, 884, 2180, 904, 2200)(697, 1993, 906, 2202, 903, 2199)(698, 1994, 908, 2204, 898, 2194)(700, 1996, 896, 2192, 910, 2206)(707, 2003, 800, 2096, 915, 2211)(710, 2006, 918, 2214, 877, 2173)(712, 2008, 920, 2216, 722, 2018)(715, 2011, 721, 2017, 922, 2218)(716, 2012, 924, 2220, 921, 2217)(717, 2013, 719, 2015, 927, 2223)(718, 2014, 928, 2224, 919, 2215)(723, 2019, 932, 2228, 933, 2229)(726, 2022, 728, 2024, 937, 2233)(727, 2023, 938, 2234, 934, 2230)(732, 2028, 944, 2240, 733, 2029)(734, 2030, 738, 2034, 948, 2244)(735, 2031, 917, 2213, 949, 2245)(741, 2037, 953, 2249, 853, 2149)(745, 2041, 935, 2231, 891, 2187)(748, 2044, 960, 2256, 958, 2254)(749, 2045, 961, 2257, 957, 2253)(750, 2046, 963, 2259, 840, 2136)(754, 2050, 967, 2263, 965, 2261)(755, 2051, 968, 2264, 907, 2203)(759, 2055, 762, 2058, 971, 2267)(767, 2063, 977, 2273, 768, 2064)(769, 2065, 798, 2094, 981, 2277)(771, 2067, 773, 2069, 789, 2085)(772, 2068, 983, 2279, 982, 2278)(774, 2070, 986, 2282, 775, 2071)(777, 2073, 991, 2287, 989, 2285)(778, 2074, 990, 2286, 994, 2290)(779, 2075, 995, 2291, 996, 2292)(785, 2081, 1002, 2298, 1000, 2296)(786, 2082, 962, 2258, 999, 2295)(788, 2084, 1004, 2300, 1003, 2299)(793, 2089, 1008, 2304, 1006, 2302)(794, 2090, 1009, 2305, 1010, 2306)(803, 2099, 1016, 2312, 804, 2100)(807, 2103, 1021, 2317, 1019, 2315)(808, 2104, 1020, 2316, 1024, 2320)(809, 2105, 1025, 2321, 1026, 2322)(814, 2110, 1029, 2325, 1030, 2326)(816, 2112, 818, 2114, 1032, 2328)(817, 2113, 1033, 2329, 1031, 2327)(820, 2116, 926, 2222, 1034, 2330)(823, 2119, 1036, 2332, 824, 2120)(825, 2121, 836, 2132, 1040, 2336)(827, 2123, 831, 2127, 1042, 2338)(829, 2125, 864, 2160, 1027, 2323)(838, 2134, 1005, 2301, 985, 2281)(839, 2135, 843, 2139, 1047, 2343)(846, 2142, 1051, 2347, 930, 2226)(849, 2145, 1015, 2311, 909, 2205)(852, 2148, 1056, 2352, 1054, 2350)(854, 2150, 1057, 2353, 998, 2294)(858, 2154, 1061, 2357, 1059, 2355)(859, 2155, 1062, 2358, 925, 2221)(869, 2165, 1070, 2366, 870, 2166)(871, 2167, 872, 2168, 1074, 2370)(875, 2171, 1075, 2371, 876, 2172)(879, 2175, 1080, 2376, 1078, 2374)(880, 2176, 1079, 2375, 1083, 2379)(881, 2177, 1084, 2380, 1085, 2381)(886, 2182, 1088, 2384, 1089, 2385)(888, 2184, 890, 2186, 1091, 2387)(889, 2185, 1092, 2388, 1090, 2386)(893, 2189, 1093, 2389, 894, 2190)(895, 2191, 905, 2201, 1097, 2393)(897, 2193, 901, 2197, 1099, 2395)(899, 2195, 1007, 2303, 1086, 2382)(911, 2207, 1103, 2399, 912, 2208)(913, 2209, 923, 2219, 1107, 2403)(914, 2210, 916, 2212, 1109, 2405)(929, 2225, 1035, 2331, 1117, 2413)(931, 2227, 1119, 2415, 1115, 2411)(936, 2232, 1123, 2419, 946, 2242)(939, 2235, 945, 2241, 1125, 2421)(940, 2236, 1127, 2423, 1124, 2420)(941, 2237, 943, 2239, 1013, 2309)(942, 2238, 1065, 2361, 1067, 2363)(947, 2243, 1073, 2369, 1129, 2425)(950, 2246, 952, 2248, 1131, 2427)(951, 2247, 1132, 2428, 1071, 2367)(954, 2250, 1135, 2431, 955, 2251)(956, 2252, 959, 2255, 1081, 2377)(964, 2260, 966, 2262, 1140, 2436)(969, 2265, 1142, 2438, 970, 2266)(972, 2268, 974, 2270, 988, 2284)(973, 2269, 1145, 2441, 1144, 2440)(975, 2271, 1147, 2443, 976, 2272)(978, 2274, 1151, 2447, 1149, 2445)(979, 2275, 1150, 2446, 1153, 2449)(980, 2276, 1154, 2450, 1155, 2451)(984, 2280, 1159, 2455, 1157, 2453)(987, 2283, 1161, 2457, 1160, 2456)(992, 2288, 1053, 2349, 1055, 2351)(993, 2289, 1163, 2459, 1043, 2339)(997, 2293, 1001, 2297, 1152, 2448)(1011, 2307, 1170, 2466, 1012, 2308)(1014, 2310, 1168, 2464, 1110, 2406)(1017, 2313, 1173, 2469, 1172, 2468)(1018, 2314, 1052, 2348, 1175, 2471)(1022, 2318, 1113, 2409, 1118, 2414)(1023, 2319, 1177, 2473, 1100, 2396)(1028, 2324, 1178, 2474, 1044, 2340)(1037, 2333, 1102, 2398, 1185, 2481)(1038, 2334, 1186, 2482, 1187, 2483)(1039, 2335, 1106, 2402, 1096, 2392)(1041, 2337, 1188, 2484, 1189, 2485)(1045, 2341, 1176, 2472, 1104, 2400)(1046, 2342, 1156, 2452, 1158, 2454)(1048, 2344, 1050, 2346, 1191, 2487)(1049, 2345, 1192, 2488, 1171, 2467)(1058, 2354, 1060, 2356, 1198, 2494)(1063, 2359, 1200, 2496, 1064, 2360)(1066, 2362, 1121, 2417, 1120, 2416)(1068, 2364, 1203, 2499, 1069, 2365)(1072, 2368, 1205, 2501, 1206, 2502)(1076, 2372, 1208, 2504, 1207, 2503)(1077, 2373, 1112, 2408, 1210, 2506)(1082, 2378, 1211, 2507, 1114, 2410)(1087, 2383, 1212, 2508, 1101, 2397)(1094, 2390, 1116, 2412, 1162, 2458)(1095, 2391, 1215, 2511, 1216, 2512)(1098, 2394, 1217, 2513, 1218, 2514)(1105, 2401, 1219, 2515, 1221, 2517)(1108, 2404, 1222, 2518, 1223, 2519)(1111, 2407, 1225, 2521, 1224, 2520)(1122, 2418, 1126, 2422, 1179, 2475)(1128, 2424, 1233, 2529, 1231, 2527)(1130, 2426, 1234, 2530, 1137, 2433)(1133, 2429, 1136, 2432, 1236, 2532)(1134, 2430, 1237, 2533, 1235, 2531)(1138, 2434, 1139, 2435, 1238, 2534)(1141, 2437, 1240, 2536, 1239, 2535)(1143, 2439, 1243, 2539, 1242, 2538)(1146, 2442, 1245, 2541, 1244, 2540)(1148, 2444, 1247, 2543, 1246, 2542)(1164, 2460, 1214, 2510, 1165, 2461)(1166, 2462, 1167, 2463, 1253, 2549)(1169, 2465, 1181, 2477, 1180, 2476)(1174, 2470, 1190, 2486, 1255, 2551)(1182, 2478, 1183, 2479, 1213, 2509)(1184, 2480, 1259, 2555, 1228, 2524)(1193, 2489, 1195, 2491, 1263, 2559)(1194, 2490, 1257, 2553, 1262, 2558)(1196, 2492, 1197, 2493, 1264, 2560)(1199, 2495, 1261, 2557, 1260, 2556)(1201, 2497, 1249, 2545, 1266, 2562)(1202, 2498, 1256, 2552, 1229, 2525)(1204, 2500, 1268, 2564, 1267, 2563)(1209, 2505, 1252, 2548, 1269, 2565)(1220, 2516, 1273, 2569, 1230, 2526)(1226, 2522, 1232, 2528, 1248, 2544)(1227, 2523, 1271, 2567, 1274, 2570)(1241, 2537, 1279, 2575, 1278, 2574)(1250, 2546, 1251, 2547, 1272, 2568)(1254, 2550, 1270, 2566, 1258, 2554)(1265, 2561, 1286, 2582, 1284, 2580)(1275, 2571, 1282, 2578, 1277, 2573)(1276, 2572, 1289, 2585, 1288, 2584)(1280, 2576, 1281, 2577, 1290, 2586)(1283, 2579, 1287, 2583, 1285, 2581)(1291, 2587, 1294, 2590, 1296, 2592)(1292, 2588, 1293, 2589, 1295, 2591)
	L = (1, 1299)(2, 1302)(3, 1305)(4, 1307)(5, 1297)(6, 1310)(7, 1298)(8, 1300)(9, 1315)(10, 1317)(11, 1318)(12, 1319)(13, 1301)(14, 1323)(15, 1325)(16, 1303)(17, 1304)(18, 1306)(19, 1333)(20, 1335)(21, 1336)(22, 1337)(23, 1339)(24, 1308)(25, 1341)(26, 1309)(27, 1345)(28, 1347)(29, 1348)(30, 1311)(31, 1350)(32, 1312)(33, 1353)(34, 1313)(35, 1314)(36, 1316)(37, 1322)(38, 1362)(39, 1363)(40, 1364)(41, 1356)(42, 1368)(43, 1369)(44, 1320)(45, 1373)(46, 1321)(47, 1361)(48, 1324)(49, 1328)(50, 1379)(51, 1380)(52, 1381)(53, 1326)(54, 1385)(55, 1327)(56, 1378)(57, 1388)(58, 1329)(59, 1390)(60, 1330)(61, 1393)(62, 1331)(63, 1332)(64, 1334)(65, 1400)(66, 1401)(67, 1402)(68, 1396)(69, 1406)(70, 1338)(71, 1408)(72, 1409)(73, 1411)(74, 1413)(75, 1414)(76, 1340)(77, 1417)(78, 1342)(79, 1343)(80, 1344)(81, 1346)(82, 1425)(83, 1426)(84, 1427)(85, 1430)(86, 1432)(87, 1433)(88, 1349)(89, 1436)(90, 1351)(91, 1352)(92, 1441)(93, 1354)(94, 1445)(95, 1355)(96, 1367)(97, 1448)(98, 1357)(99, 1450)(100, 1358)(101, 1453)(102, 1359)(103, 1360)(104, 1459)(105, 1460)(106, 1456)(107, 1464)(108, 1365)(109, 1466)(110, 1467)(111, 1366)(112, 1470)(113, 1471)(114, 1370)(115, 1372)(116, 1476)(117, 1477)(118, 1478)(119, 1371)(120, 1475)(121, 1482)(122, 1484)(123, 1485)(124, 1374)(125, 1375)(126, 1490)(127, 1376)(128, 1377)(129, 1496)(130, 1497)(131, 1493)(132, 1501)(133, 1382)(134, 1384)(135, 1505)(136, 1506)(137, 1507)(138, 1383)(139, 1504)(140, 1511)(141, 1513)(142, 1514)(143, 1386)(144, 1387)(145, 1520)(146, 1522)(147, 1523)(148, 1389)(149, 1526)(150, 1391)(151, 1392)(152, 1531)(153, 1394)(154, 1535)(155, 1395)(156, 1405)(157, 1538)(158, 1397)(159, 1540)(160, 1398)(161, 1543)(162, 1399)(163, 1547)(164, 1546)(165, 1551)(166, 1403)(167, 1553)(168, 1554)(169, 1404)(170, 1557)(171, 1558)(172, 1560)(173, 1407)(174, 1564)(175, 1563)(176, 1568)(177, 1410)(178, 1412)(179, 1572)(180, 1573)(181, 1574)(182, 1576)(183, 1415)(184, 1416)(185, 1418)(186, 1420)(187, 1584)(188, 1585)(189, 1586)(190, 1419)(191, 1583)(192, 1589)(193, 1421)(194, 1592)(195, 1422)(196, 1594)(197, 1423)(198, 1597)(199, 1424)(200, 1601)(201, 1600)(202, 1605)(203, 1428)(204, 1607)(205, 1608)(206, 1429)(207, 1431)(208, 1612)(209, 1613)(210, 1614)(211, 1616)(212, 1434)(213, 1435)(214, 1437)(215, 1439)(216, 1624)(217, 1625)(218, 1626)(219, 1438)(220, 1623)(221, 1629)(222, 1440)(223, 1442)(224, 1444)(225, 1635)(226, 1636)(227, 1637)(228, 1443)(229, 1634)(230, 1641)(231, 1643)(232, 1644)(233, 1446)(234, 1447)(235, 1650)(236, 1652)(237, 1653)(238, 1449)(239, 1656)(240, 1451)(241, 1452)(242, 1661)(243, 1454)(244, 1665)(245, 1455)(246, 1463)(247, 1668)(248, 1457)(249, 1670)(250, 1458)(251, 1489)(252, 1675)(253, 1461)(254, 1677)(255, 1678)(256, 1462)(257, 1681)(258, 1682)(259, 1684)(260, 1465)(261, 1688)(262, 1687)(263, 1692)(264, 1693)(265, 1468)(266, 1695)(267, 1469)(268, 1648)(269, 1700)(270, 1472)(271, 1702)(272, 1703)(273, 1704)(274, 1473)(275, 1474)(276, 1710)(277, 1711)(278, 1707)(279, 1715)(280, 1717)(281, 1719)(282, 1720)(283, 1479)(284, 1480)(285, 1481)(286, 1483)(287, 1728)(288, 1729)(289, 1730)(290, 1732)(291, 1486)(292, 1487)(293, 1737)(294, 1488)(295, 1674)(296, 1740)(297, 1491)(298, 1744)(299, 1492)(300, 1500)(301, 1747)(302, 1494)(303, 1749)(304, 1495)(305, 1518)(306, 1754)(307, 1498)(308, 1756)(309, 1757)(310, 1499)(311, 1760)(312, 1761)(313, 1763)(314, 1502)(315, 1503)(316, 1769)(317, 1770)(318, 1766)(319, 1774)(320, 1776)(321, 1778)(322, 1779)(323, 1508)(324, 1509)(325, 1510)(326, 1512)(327, 1787)(328, 1788)(329, 1789)(330, 1791)(331, 1515)(332, 1516)(333, 1796)(334, 1517)(335, 1753)(336, 1519)(337, 1521)(338, 1802)(339, 1803)(340, 1804)(341, 1806)(342, 1524)(343, 1525)(344, 1527)(345, 1529)(346, 1814)(347, 1815)(348, 1816)(349, 1528)(350, 1813)(351, 1819)(352, 1530)(353, 1532)(354, 1534)(355, 1823)(356, 1824)(357, 1825)(358, 1533)(359, 1748)(360, 1828)(361, 1829)(362, 1830)(363, 1536)(364, 1537)(365, 1836)(366, 1838)(367, 1743)(368, 1539)(369, 1840)(370, 1541)(371, 1542)(372, 1845)(373, 1544)(374, 1847)(375, 1545)(376, 1550)(377, 1548)(378, 1851)(379, 1777)(380, 1549)(381, 1854)(382, 1855)(383, 1857)(384, 1552)(385, 1861)(386, 1860)(387, 1865)(388, 1866)(389, 1555)(390, 1868)(391, 1556)(392, 1834)(393, 1873)(394, 1559)(395, 1875)(396, 1876)(397, 1877)(398, 1561)(399, 1879)(400, 1562)(401, 1567)(402, 1565)(403, 1883)(404, 1837)(405, 1566)(406, 1886)(407, 1887)(408, 1826)(409, 1569)(410, 1889)(411, 1570)(412, 1892)(413, 1571)(414, 1895)(415, 1894)(416, 1898)(417, 1575)(418, 1900)(419, 1901)(420, 1577)(421, 1579)(422, 1903)(423, 1904)(424, 1905)(425, 1578)(426, 1811)(427, 1908)(428, 1580)(429, 1809)(430, 1581)(431, 1582)(432, 1767)(433, 1914)(434, 1912)(435, 1918)(436, 1784)(437, 1920)(438, 1921)(439, 1587)(440, 1588)(441, 1925)(442, 1590)(443, 1591)(444, 1663)(445, 1930)(446, 1839)(447, 1593)(448, 1931)(449, 1595)(450, 1596)(451, 1936)(452, 1598)(453, 1938)(454, 1599)(455, 1604)(456, 1602)(457, 1942)(458, 1651)(459, 1603)(460, 1945)(461, 1946)(462, 1948)(463, 1606)(464, 1952)(465, 1951)(466, 1956)(467, 1906)(468, 1609)(469, 1957)(470, 1610)(471, 1960)(472, 1611)(473, 1963)(474, 1962)(475, 1966)(476, 1615)(477, 1968)(478, 1969)(479, 1617)(480, 1619)(481, 1971)(482, 1972)(483, 1867)(484, 1618)(485, 1669)(486, 1974)(487, 1620)(488, 1735)(489, 1621)(490, 1622)(491, 1657)(492, 1979)(493, 1977)(494, 1982)(495, 1799)(496, 1984)(497, 1985)(498, 1627)(499, 1628)(500, 1989)(501, 1630)(502, 1631)(503, 1794)(504, 1632)(505, 1633)(506, 1708)(507, 1996)(508, 1994)(509, 1999)(510, 1725)(511, 2000)(512, 1911)(513, 1638)(514, 1639)(515, 1640)(516, 1642)(517, 2005)(518, 1718)(519, 2006)(520, 2008)(521, 1645)(522, 1646)(523, 2013)(524, 1647)(525, 1699)(526, 1649)(527, 2018)(528, 2019)(529, 1705)(530, 1654)(531, 1655)(532, 1659)(533, 1988)(534, 2022)(535, 1658)(536, 2021)(537, 2025)(538, 1660)(539, 1662)(540, 1664)(541, 2029)(542, 2030)(543, 1694)(544, 2031)(545, 2032)(546, 2033)(547, 1666)(548, 1667)(549, 1973)(550, 2040)(551, 2041)(552, 1671)(553, 1672)(554, 1673)(555, 1932)(556, 2047)(557, 1676)(558, 2051)(559, 2050)(560, 1741)(561, 2055)(562, 1679)(563, 2057)(564, 1680)(565, 2037)(566, 2062)(567, 1683)(568, 2064)(569, 2065)(570, 1780)(571, 1685)(572, 2067)(573, 1686)(574, 1691)(575, 1689)(576, 2071)(577, 2039)(578, 1690)(579, 2074)(580, 2075)(581, 1742)(582, 2077)(583, 2078)(584, 1696)(585, 1697)(586, 1698)(587, 2085)(588, 2086)(589, 1701)(590, 2090)(591, 2089)(592, 2066)(593, 2048)(594, 1706)(595, 1714)(596, 2003)(597, 2095)(598, 1709)(599, 1724)(600, 1712)(601, 2100)(602, 2101)(603, 1713)(604, 2104)(605, 2105)(606, 1716)(607, 2109)(608, 2110)(609, 1764)(610, 1721)(611, 1722)(612, 2112)(613, 1723)(614, 2098)(615, 2056)(616, 1726)(617, 1727)(618, 2116)(619, 1807)(620, 1731)(621, 2120)(622, 2121)(623, 1733)(624, 2123)(625, 2124)(626, 1734)(627, 2126)(628, 1736)(629, 2107)(630, 2130)(631, 2131)(632, 1738)(633, 1739)(634, 2135)(635, 2136)(636, 2137)(637, 2138)(638, 1745)(639, 1746)(640, 1827)(641, 2144)(642, 2145)(643, 1750)(644, 1751)(645, 1752)(646, 2079)(647, 2151)(648, 1755)(649, 2155)(650, 2154)(651, 1878)(652, 2125)(653, 1758)(654, 2159)(655, 1759)(656, 2142)(657, 2164)(658, 1762)(659, 2166)(660, 2167)(661, 2152)(662, 1765)(663, 1773)(664, 1924)(665, 2169)(666, 1768)(667, 1783)(668, 1771)(669, 2172)(670, 2173)(671, 1772)(672, 2176)(673, 2177)(674, 1775)(675, 2181)(676, 2182)(677, 1781)(678, 2184)(679, 1782)(680, 2115)(681, 1785)(682, 1786)(683, 2187)(684, 1790)(685, 2190)(686, 2191)(687, 1792)(688, 2193)(689, 2194)(690, 1793)(691, 2196)(692, 1795)(693, 2179)(694, 2199)(695, 2200)(696, 1797)(697, 1798)(698, 1800)(699, 1801)(700, 2205)(701, 1805)(702, 2208)(703, 2209)(704, 2210)(705, 1808)(706, 2211)(707, 1810)(708, 1812)(709, 1841)(710, 1907)(711, 2215)(712, 2016)(713, 2217)(714, 2218)(715, 1817)(716, 1818)(717, 2222)(718, 1820)(719, 1821)(720, 2011)(721, 1822)(722, 2150)(723, 2227)(724, 2230)(725, 2231)(726, 2232)(727, 1831)(728, 1832)(729, 2237)(730, 1833)(731, 1872)(732, 1835)(733, 2242)(734, 2243)(735, 1843)(736, 2221)(737, 2246)(738, 1842)(739, 2245)(740, 2149)(741, 1844)(742, 1846)(743, 2251)(744, 2252)(745, 2188)(746, 2253)(747, 2254)(748, 1848)(749, 1849)(750, 1850)(751, 2260)(752, 1852)(753, 2261)(754, 1853)(755, 2258)(756, 1891)(757, 1856)(758, 2266)(759, 2001)(760, 1858)(761, 2268)(762, 1859)(763, 1864)(764, 1862)(765, 2272)(766, 1917)(767, 1863)(768, 2275)(769, 2276)(770, 2278)(771, 2083)(772, 1869)(773, 1870)(774, 1871)(775, 2284)(776, 2285)(777, 1874)(778, 2289)(779, 2288)(780, 2267)(781, 2293)(782, 2294)(783, 2295)(784, 2296)(785, 1880)(786, 1881)(787, 2299)(788, 1882)(789, 2301)(790, 2195)(791, 1884)(792, 2302)(793, 1885)(794, 2257)(795, 2204)(796, 1888)(797, 2308)(798, 1890)(799, 2309)(800, 1893)(801, 1897)(802, 2311)(803, 1896)(804, 2238)(805, 2314)(806, 2315)(807, 1899)(808, 2319)(809, 2318)(810, 2323)(811, 1928)(812, 1902)(813, 2213)(814, 2324)(815, 2327)(816, 2263)(817, 1909)(818, 1910)(819, 2330)(820, 1913)(821, 1915)(822, 2225)(823, 1916)(824, 2334)(825, 2335)(826, 1919)(827, 2337)(828, 1949)(829, 1922)(830, 2270)(831, 1923)(832, 1961)(833, 1926)(834, 2339)(835, 2340)(836, 1927)(837, 2281)(838, 1929)(839, 2342)(840, 1934)(841, 2134)(842, 2344)(843, 1933)(844, 2259)(845, 2226)(846, 1935)(847, 1937)(848, 2349)(849, 2206)(850, 2249)(851, 2350)(852, 1939)(853, 1940)(854, 1941)(855, 2354)(856, 1943)(857, 2355)(858, 1944)(859, 2036)(860, 1959)(861, 1947)(862, 2360)(863, 2361)(864, 1950)(865, 1955)(866, 1953)(867, 2365)(868, 1981)(869, 1954)(870, 2368)(871, 2369)(872, 1958)(873, 2239)(874, 1965)(875, 1964)(876, 2310)(877, 2373)(878, 2374)(879, 1967)(880, 2378)(881, 2377)(882, 2382)(883, 1992)(884, 1970)(885, 2046)(886, 2383)(887, 2386)(888, 2357)(889, 1975)(890, 1976)(891, 1978)(892, 2044)(893, 1980)(894, 2391)(895, 2392)(896, 1983)(897, 2394)(898, 2087)(899, 1986)(900, 2363)(901, 1987)(902, 1990)(903, 2396)(904, 2397)(905, 1991)(906, 2264)(907, 1993)(908, 1998)(909, 1995)(910, 2148)(911, 1997)(912, 2401)(913, 2402)(914, 2404)(915, 2406)(916, 2002)(917, 2004)(918, 2007)(919, 2409)(920, 2009)(921, 2410)(922, 2411)(923, 2010)(924, 2358)(925, 2012)(926, 2118)(927, 2347)(928, 2413)(929, 2014)(930, 2015)(931, 2017)(932, 2020)(933, 2417)(934, 2418)(935, 2042)(936, 2240)(937, 2420)(938, 2421)(939, 2023)(940, 2024)(941, 2097)(942, 2026)(943, 2027)(944, 2235)(945, 2028)(946, 2084)(947, 2424)(948, 2367)(949, 2129)(950, 2426)(951, 2034)(952, 2035)(953, 2061)(954, 2038)(955, 2433)(956, 2381)(957, 2306)(958, 2434)(959, 2043)(960, 2122)(961, 2082)(962, 2045)(963, 2198)(964, 2094)(965, 2328)(966, 2049)(967, 2054)(968, 2052)(969, 2053)(970, 2113)(971, 2440)(972, 2282)(973, 2058)(974, 2059)(975, 2060)(976, 2114)(977, 2445)(978, 2063)(979, 2127)(980, 2448)(981, 2436)(982, 2452)(983, 2453)(984, 2068)(985, 2069)(986, 2456)(987, 2070)(988, 2128)(989, 2412)(990, 2072)(991, 2351)(992, 2073)(993, 2133)(994, 2415)(995, 2076)(996, 2461)(997, 2451)(998, 2081)(999, 2203)(1000, 2462)(1001, 2080)(1002, 2353)(1003, 2280)(1004, 2419)(1005, 2141)(1006, 2464)(1007, 2088)(1008, 2093)(1009, 2091)(1010, 2236)(1011, 2092)(1012, 2407)(1013, 2170)(1014, 2096)(1015, 2146)(1016, 2468)(1017, 2099)(1018, 2470)(1019, 2341)(1020, 2102)(1021, 2414)(1022, 2103)(1023, 2202)(1024, 2474)(1025, 2106)(1026, 2475)(1027, 2416)(1028, 2108)(1029, 2111)(1030, 2477)(1031, 2478)(1032, 2443)(1033, 2438)(1034, 2223)(1035, 2117)(1036, 2481)(1037, 2119)(1038, 2444)(1039, 2393)(1040, 2400)(1041, 2435)(1042, 2449)(1043, 2430)(1044, 2316)(1045, 2132)(1046, 2439)(1047, 2467)(1048, 2486)(1049, 2139)(1050, 2140)(1051, 2163)(1052, 2143)(1053, 2292)(1054, 2492)(1055, 2147)(1056, 2192)(1057, 2216)(1058, 2168)(1059, 2387)(1060, 2153)(1061, 2158)(1062, 2156)(1063, 2157)(1064, 2185)(1065, 2312)(1066, 2160)(1067, 2161)(1068, 2162)(1069, 2186)(1070, 2428)(1071, 2165)(1072, 2197)(1073, 2244)(1074, 2494)(1075, 2503)(1076, 2171)(1077, 2505)(1078, 2398)(1079, 2174)(1080, 2255)(1081, 2175)(1082, 2220)(1083, 2508)(1084, 2178)(1085, 2509)(1086, 2476)(1087, 2180)(1088, 2183)(1089, 2441)(1090, 2460)(1091, 2499)(1092, 2496)(1093, 2458)(1094, 2189)(1095, 2500)(1096, 2403)(1097, 2333)(1098, 2493)(1099, 2502)(1100, 2490)(1101, 2375)(1102, 2201)(1103, 2472)(1104, 2207)(1105, 2516)(1106, 2336)(1107, 2390)(1108, 2480)(1109, 2520)(1110, 2304)(1111, 2212)(1112, 2214)(1113, 2322)(1114, 2523)(1115, 2286)(1116, 2219)(1117, 2524)(1118, 2224)(1119, 2229)(1120, 2228)(1121, 2525)(1122, 2321)(1123, 2233)(1124, 2526)(1125, 2527)(1126, 2234)(1127, 2305)(1128, 2241)(1129, 2370)(1130, 2431)(1131, 2531)(1132, 2532)(1133, 2247)(1134, 2248)(1135, 2429)(1136, 2250)(1137, 2283)(1138, 2482)(1139, 2256)(1140, 2535)(1141, 2262)(1142, 2538)(1143, 2265)(1144, 2384)(1145, 2540)(1146, 2269)(1147, 2542)(1148, 2271)(1149, 2528)(1150, 2273)(1151, 2297)(1152, 2274)(1153, 2529)(1154, 2277)(1155, 2497)(1156, 2343)(1157, 2546)(1158, 2279)(1159, 2300)(1160, 2442)(1161, 2530)(1162, 2287)(1163, 2290)(1164, 2291)(1165, 2491)(1166, 2548)(1167, 2298)(1168, 2371)(1169, 2303)(1170, 2488)(1171, 2307)(1172, 2498)(1173, 2551)(1174, 2313)(1175, 2489)(1176, 2317)(1177, 2320)(1178, 2326)(1179, 2522)(1180, 2325)(1181, 2554)(1182, 2380)(1183, 2329)(1184, 2331)(1185, 2376)(1186, 2332)(1187, 2534)(1188, 2338)(1189, 2557)(1190, 2471)(1191, 2558)(1192, 2559)(1193, 2345)(1194, 2346)(1195, 2348)(1196, 2511)(1197, 2352)(1198, 2556)(1199, 2356)(1200, 2562)(1201, 2359)(1202, 2362)(1203, 2563)(1204, 2364)(1205, 2366)(1206, 2539)(1207, 2550)(1208, 2565)(1209, 2372)(1210, 2544)(1211, 2379)(1212, 2385)(1213, 2432)(1214, 2388)(1215, 2389)(1216, 2560)(1217, 2395)(1218, 2568)(1219, 2399)(1220, 2423)(1221, 2555)(1222, 2405)(1223, 2536)(1224, 2545)(1225, 2466)(1226, 2408)(1227, 2463)(1228, 2515)(1229, 2571)(1230, 2572)(1231, 2446)(1232, 2422)(1233, 2425)(1234, 2427)(1235, 2573)(1236, 2479)(1237, 2459)(1238, 2485)(1239, 2518)(1240, 2574)(1241, 2437)(1242, 2501)(1243, 2454)(1244, 2576)(1245, 2457)(1246, 2537)(1247, 2483)(1248, 2447)(1249, 2450)(1250, 2513)(1251, 2455)(1252, 2506)(1253, 2570)(1254, 2465)(1255, 2487)(1256, 2469)(1257, 2473)(1258, 2579)(1259, 2519)(1260, 2484)(1261, 2580)(1262, 2581)(1263, 2510)(1264, 2514)(1265, 2495)(1266, 2521)(1267, 2561)(1268, 2512)(1269, 2549)(1270, 2504)(1271, 2507)(1272, 2584)(1273, 2517)(1274, 2586)(1275, 2533)(1276, 2547)(1277, 2587)(1278, 2588)(1279, 2543)(1280, 2567)(1281, 2541)(1282, 2552)(1283, 2553)(1284, 2589)(1285, 2590)(1286, 2564)(1287, 2566)(1288, 2591)(1289, 2569)(1290, 2592)(1291, 2577)(1292, 2585)(1293, 2575)(1294, 2578)(1295, 2582)(1296, 2583)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: chiral
Dual of E28.3363
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 432 e = 1296 f = 810
	degree seq :: [ 6^432 ]

E28.3366 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 3, 8})
Quotient :: loop
Aut^+ = $<1296, 2889>$ (small group id <1296, 2889>)
Aut   = $<1296, 2889>$ (small group id <1296, 2889>)
|r| :: 1
Presentation :: [ X2^2, (X1^-1 * X2)^3, X1^8, X1^-1 * X2 * X1^3 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-3 * X2 * X1^2 * X2 * X1^-1, X2 * X1^3 * X2 * X1^-3 * X2 * X1^3 * X2 * X1^-3 * X2 * X1 * X2 * X1^-2 * X2 * X1^2 * X2 * X1^-1, X2 * X1 * X2 * X1^-1 * X2 * X1^2 * X2 * X1^3 * X2 * X1^-4 * X2 * X1^-3 * X2 * X1^-2 * X2 * X1^2 * X2 * X1^-3 ]
Map::
	R = (1, 1297, 2, 1298, 5, 1301, 11, 1307, 21, 1317, 20, 1316, 10, 1306, 4, 1300)(3, 1299, 7, 1303, 15, 1311, 27, 1323, 45, 1341, 31, 1327, 17, 1313, 8, 1304)(6, 1302, 13, 1309, 25, 1321, 41, 1337, 66, 1362, 44, 1340, 26, 1322, 14, 1310)(9, 1305, 18, 1314, 32, 1328, 52, 1348, 77, 1373, 49, 1345, 29, 1325, 16, 1312)(12, 1308, 23, 1319, 39, 1335, 62, 1358, 95, 1391, 65, 1361, 40, 1336, 24, 1320)(19, 1315, 34, 1330, 55, 1351, 85, 1381, 126, 1422, 84, 1380, 54, 1350, 33, 1329)(22, 1318, 37, 1333, 60, 1356, 91, 1387, 137, 1433, 94, 1390, 61, 1357, 38, 1334)(28, 1324, 47, 1343, 74, 1370, 111, 1407, 165, 1461, 114, 1410, 75, 1371, 48, 1344)(30, 1326, 50, 1346, 78, 1374, 117, 1413, 154, 1450, 103, 1399, 68, 1364, 42, 1338)(35, 1331, 57, 1353, 88, 1384, 131, 1427, 192, 1488, 130, 1426, 87, 1383, 56, 1352)(36, 1332, 58, 1354, 89, 1385, 133, 1429, 195, 1491, 136, 1432, 90, 1386, 59, 1355)(43, 1339, 69, 1365, 104, 1400, 155, 1451, 212, 1508, 145, 1441, 97, 1393, 63, 1359)(46, 1342, 72, 1368, 109, 1405, 161, 1457, 235, 1531, 164, 1460, 110, 1406, 73, 1369)(51, 1347, 80, 1376, 120, 1416, 177, 1473, 256, 1552, 176, 1472, 119, 1415, 79, 1375)(53, 1349, 82, 1378, 123, 1419, 181, 1477, 263, 1559, 184, 1480, 124, 1420, 83, 1379)(64, 1360, 98, 1394, 146, 1442, 213, 1509, 294, 1590, 203, 1499, 139, 1435, 92, 1388)(67, 1363, 101, 1397, 151, 1447, 219, 1515, 317, 1613, 222, 1518, 152, 1448, 102, 1398)(70, 1366, 106, 1402, 158, 1454, 229, 1525, 330, 1626, 228, 1524, 157, 1453, 105, 1401)(71, 1367, 107, 1403, 159, 1455, 231, 1527, 333, 1629, 234, 1530, 160, 1456, 108, 1404)(76, 1372, 115, 1411, 170, 1466, 247, 1543, 350, 1646, 243, 1539, 167, 1463, 112, 1408)(81, 1377, 121, 1417, 179, 1475, 259, 1555, 372, 1668, 262, 1558, 180, 1476, 122, 1418)(86, 1382, 128, 1424, 189, 1485, 273, 1569, 392, 1688, 276, 1572, 190, 1486, 129, 1425)(93, 1389, 140, 1436, 204, 1500, 295, 1591, 409, 1705, 285, 1581, 197, 1493, 134, 1430)(96, 1392, 143, 1439, 209, 1505, 301, 1597, 432, 1728, 304, 1600, 210, 1506, 144, 1440)(99, 1395, 148, 1444, 216, 1512, 311, 1607, 445, 1741, 310, 1606, 215, 1511, 147, 1443)(100, 1396, 149, 1445, 217, 1513, 313, 1609, 448, 1744, 316, 1612, 218, 1514, 150, 1446)(113, 1409, 168, 1464, 244, 1540, 351, 1647, 408, 1704, 341, 1637, 237, 1533, 162, 1458)(116, 1412, 172, 1468, 250, 1546, 359, 1655, 505, 1801, 358, 1654, 249, 1545, 171, 1467)(118, 1414, 174, 1470, 253, 1549, 363, 1659, 510, 1806, 366, 1662, 254, 1550, 175, 1471)(125, 1421, 185, 1481, 268, 1564, 384, 1680, 518, 1814, 380, 1676, 265, 1561, 182, 1478)(127, 1423, 187, 1483, 271, 1567, 388, 1684, 537, 1833, 391, 1687, 272, 1568, 188, 1484)(132, 1428, 135, 1431, 198, 1494, 286, 1582, 410, 1706, 403, 1699, 281, 1577, 194, 1490)(138, 1434, 201, 1497, 291, 1587, 416, 1712, 590, 1886, 419, 1715, 292, 1588, 202, 1498)(141, 1437, 206, 1502, 298, 1594, 426, 1722, 747, 2043, 425, 1721, 297, 1593, 205, 1501)(142, 1438, 207, 1503, 299, 1595, 428, 1724, 718, 2014, 431, 1727, 300, 1596, 208, 1504)(153, 1449, 223, 1519, 322, 1618, 460, 1756, 402, 1698, 456, 1752, 319, 1615, 220, 1516)(156, 1452, 226, 1522, 327, 1623, 466, 1762, 556, 1852, 469, 1765, 328, 1624, 227, 1523)(163, 1459, 238, 1534, 342, 1638, 485, 1781, 844, 2140, 421, 1717, 335, 1631, 232, 1528)(166, 1462, 241, 1537, 347, 1643, 491, 1787, 570, 1866, 494, 1790, 348, 1644, 242, 1538)(169, 1465, 246, 1542, 354, 1650, 499, 1795, 932, 2228, 498, 1794, 353, 1649, 245, 1541)(173, 1469, 251, 1547, 361, 1657, 506, 1802, 723, 2019, 509, 1805, 362, 1658, 252, 1548)(178, 1474, 233, 1529, 336, 1632, 477, 1773, 565, 1861, 519, 1815, 371, 1667, 258, 1554)(183, 1479, 266, 1562, 381, 1677, 417, 1713, 293, 1589, 420, 1716, 374, 1670, 260, 1556)(186, 1482, 270, 1566, 387, 1683, 508, 1804, 940, 2236, 536, 1832, 386, 1682, 269, 1565)(191, 1487, 277, 1573, 397, 1693, 547, 1843, 716, 2012, 544, 1840, 394, 1690, 274, 1570)(193, 1489, 279, 1575, 400, 1696, 550, 1846, 628, 1924, 551, 1847, 401, 1697, 280, 1576)(196, 1492, 283, 1579, 406, 1702, 824, 2120, 608, 1904, 633, 1929, 407, 1703, 284, 1580)(199, 1495, 288, 1584, 413, 1709, 832, 2128, 681, 1977, 888, 2184, 412, 1708, 287, 1583)(200, 1496, 289, 1585, 414, 1710, 835, 2131, 769, 2065, 1199, 2495, 415, 1711, 290, 1586)(211, 1507, 305, 1601, 437, 1733, 389, 1685, 275, 1571, 395, 1691, 434, 1730, 302, 1598)(214, 1510, 308, 1604, 442, 1738, 724, 2020, 553, 1849, 699, 1995, 443, 1739, 309, 1605)(221, 1517, 320, 1616, 457, 1753, 631, 1927, 484, 1780, 827, 2123, 450, 1746, 314, 1610)(224, 1520, 324, 1620, 463, 1759, 390, 1686, 539, 1835, 969, 2265, 462, 1758, 323, 1619)(225, 1521, 325, 1621, 464, 1760, 654, 1950, 773, 2069, 883, 2179, 465, 1761, 326, 1622)(230, 1526, 315, 1611, 451, 1747, 878, 2174, 574, 1870, 862, 2158, 474, 1770, 332, 1628)(236, 1532, 339, 1635, 482, 1778, 897, 2193, 615, 1911, 583, 1879, 483, 1779, 340, 1636)(239, 1535, 344, 1640, 488, 1784, 919, 2215, 776, 2072, 702, 1998, 487, 1783, 343, 1639)(240, 1536, 345, 1641, 489, 1785, 696, 1992, 799, 2095, 952, 2248, 490, 1786, 346, 1642)(248, 1544, 356, 1652, 502, 1798, 875, 2171, 560, 1856, 728, 2024, 503, 1799, 357, 1653)(255, 1551, 367, 1663, 515, 1811, 895, 2191, 468, 1764, 900, 2196, 512, 1808, 364, 1660)(257, 1553, 369, 1665, 517, 1813, 717, 2013, 678, 1974, 729, 2025, 446, 1742, 370, 1666)(261, 1557, 375, 1671, 523, 1819, 594, 1890, 438, 1734, 306, 1602, 439, 1735, 360, 1656)(264, 1560, 378, 1674, 528, 1824, 958, 2254, 571, 1867, 596, 1892, 529, 1825, 379, 1675)(267, 1563, 383, 1679, 533, 1829, 825, 2121, 1229, 2525, 909, 2205, 532, 1828, 382, 1678)(278, 1574, 399, 1695, 500, 1796, 923, 2219, 1258, 2554, 1285, 2581, 549, 1845, 398, 1694)(282, 1578, 404, 1700, 821, 2117, 1224, 2520, 847, 2143, 1105, 2401, 650, 1946, 405, 1701)(296, 1592, 423, 1719, 845, 2141, 774, 2070, 554, 1850, 693, 1989, 1066, 2362, 424, 1720)(303, 1599, 435, 1731, 858, 2154, 662, 1958, 886, 2182, 552, 1848, 982, 2278, 429, 1725)(307, 1603, 440, 1736, 644, 1940, 619, 1915, 854, 2150, 476, 1772, 334, 1630, 441, 1737)(312, 1608, 430, 1726, 852, 2148, 1025, 2321, 585, 1881, 516, 1812, 368, 1664, 447, 1743)(318, 1614, 454, 1750, 884, 2180, 1031, 2327, 591, 1887, 582, 1878, 1018, 2314, 455, 1751)(321, 1617, 459, 1755, 889, 2185, 1156, 2452, 860, 2156, 758, 2054, 741, 2037, 458, 1754)(329, 1625, 470, 1766, 903, 2199, 1037, 2333, 645, 1941, 1100, 2396, 1069, 2365, 467, 1763)(331, 1627, 472, 1768, 355, 1651, 501, 1797, 715, 2011, 685, 1981, 744, 2040, 473, 1769)(337, 1633, 479, 1775, 910, 2206, 1024, 2320, 632, 1928, 809, 2105, 930, 2226, 478, 1774)(338, 1634, 480, 1776, 865, 2161, 805, 2101, 931, 2227, 1178, 2474, 738, 2034, 481, 1777)(349, 1645, 495, 1791, 928, 2224, 507, 1803, 365, 1661, 513, 1809, 945, 2241, 492, 1788)(352, 1648, 496, 1792, 929, 2225, 660, 1956, 555, 1851, 788, 2084, 1058, 2354, 497, 1793)(373, 1669, 521, 1817, 916, 2212, 801, 2097, 653, 1949, 572, 1868, 1005, 2301, 522, 1818)(376, 1672, 525, 1821, 955, 2251, 1094, 2390, 727, 2023, 666, 1962, 964, 2260, 524, 1820)(377, 1673, 526, 1822, 828, 2124, 661, 1957, 966, 2262, 1265, 2561, 906, 2202, 527, 1823)(385, 1681, 534, 1830, 963, 2259, 785, 2081, 567, 1863, 808, 2104, 1133, 2429, 535, 1831)(393, 1689, 542, 1838, 973, 2269, 994, 2290, 562, 1858, 614, 1910, 1061, 2357, 543, 1839)(396, 1692, 546, 1842, 836, 2132, 418, 1714, 841, 2137, 1145, 2441, 697, 1993, 545, 1841)(411, 1707, 730, 2026, 1170, 2466, 856, 2152, 557, 1853, 652, 1948, 1090, 2386, 898, 2194)(422, 1718, 751, 2047, 671, 1967, 592, 1888, 1032, 2328, 1210, 2506, 449, 1745, 876, 2172)(427, 1723, 838, 2134, 1172, 2468, 1051, 2347, 603, 1899, 904, 2200, 471, 1767, 905, 2201)(433, 1729, 722, 2018, 1078, 2374, 1056, 2352, 609, 1905, 569, 1865, 1003, 2299, 1060, 2356)(436, 1732, 861, 2157, 1184, 2480, 1195, 2491, 1188, 2484, 753, 2049, 784, 2080, 859, 2155)(444, 1740, 869, 2165, 1251, 2547, 917, 2213, 618, 1914, 1065, 2361, 1035, 2331, 731, 2027)(452, 1748, 881, 2177, 1256, 2552, 967, 2263, 663, 1959, 732, 2028, 1148, 2444, 879, 2175)(453, 1749, 651, 1947, 1106, 2402, 725, 2021, 1165, 2461, 1207, 2503, 781, 2077, 890, 2186)(461, 1757, 893, 2189, 1143, 2439, 695, 1991, 558, 1854, 882, 2178, 1082, 2378, 839, 2135)(475, 1771, 907, 2203, 818, 2114, 1205, 2501, 1151, 2447, 1125, 2421, 669, 1965, 911, 2207)(486, 1782, 885, 2181, 1180, 2476, 745, 2041, 559, 1855, 739, 2035, 1048, 2344, 752, 2048)(493, 1789, 925, 2221, 1077, 2373, 726, 2022, 530, 1826, 951, 2247, 1269, 2565, 921, 2217)(504, 1800, 935, 2231, 1244, 2540, 1009, 2305, 611, 1907, 975, 2271, 1085, 2381, 887, 2183)(511, 1807, 655, 1951, 1109, 2405, 1011, 2307, 576, 1872, 589, 1885, 1029, 2325, 1052, 2348)(514, 1810, 947, 2243, 1246, 2542, 914, 2210, 1261, 2557, 899, 2195, 786, 2082, 946, 2242)(520, 1816, 698, 1994, 778, 2074, 968, 2264, 1240, 2536, 853, 2149, 793, 2089, 956, 2252)(531, 1827, 960, 2256, 1079, 2375, 629, 1925, 561, 1857, 936, 2232, 1039, 2335, 712, 2008)(538, 1834, 863, 2159, 1036, 2332, 922, 2218, 694, 1990, 563, 1859, 995, 2291, 1118, 2414)(540, 1836, 913, 2209, 1154, 2450, 1136, 2432, 807, 2103, 636, 1932, 1086, 2382, 970, 2266)(541, 1837, 640, 1936, 762, 2058, 630, 1926, 1080, 2376, 1218, 2514, 804, 2100, 976, 2272)(548, 1844, 979, 2275, 1247, 2543, 938, 2234, 580, 1876, 972, 2268, 1182, 2478, 1138, 2434)(564, 1860, 782, 2078, 1017, 2313, 689, 1985, 743, 2039, 1164, 2460, 1131, 2427, 679, 1975)(566, 1862, 670, 1966, 831, 2127, 1161, 2457, 719, 2015, 664, 1960, 1119, 2415, 993, 2289)(568, 1864, 794, 2090, 944, 2240, 757, 2053, 933, 2229, 789, 2085, 1212, 2508, 815, 2111)(573, 1869, 870, 2166, 1002, 2298, 641, 1937, 677, 1973, 961, 2257, 1101, 2397, 646, 1942)(575, 1871, 706, 2002, 816, 2112, 908, 2204, 770, 2066, 700, 1996, 1147, 2443, 943, 2239)(577, 1873, 1012, 2308, 1167, 2463, 867, 2163, 1249, 2545, 1008, 2304, 766, 2062, 740, 2036)(578, 1874, 1014, 2310, 1026, 2322, 625, 1921, 659, 1955, 1116, 2412, 1041, 2337, 597, 1893)(579, 1875, 643, 1939, 764, 2060, 1129, 2425, 686, 1982, 634, 1930, 1084, 2380, 988, 2284)(581, 1877, 959, 2255, 1022, 2318, 701, 1997, 1149, 2445, 953, 2249, 1232, 2528, 830, 2126)(584, 1880, 1021, 2317, 990, 2286, 616, 1912, 714, 2010, 797, 2093, 1127, 2423, 672, 1968)(586, 1882, 761, 2057, 746, 2042, 1181, 2477, 848, 2144, 756, 2052, 1191, 2487, 987, 2283)(587, 1883, 607, 1903, 918, 2214, 1072, 2368, 656, 1952, 620, 1916, 1068, 2364, 1000, 2296)(588, 1884, 1027, 2323, 1200, 2496, 1108, 2404, 948, 2244, 1023, 2319, 837, 2133, 783, 2079)(593, 1889, 1034, 2330, 1010, 2306, 605, 1901, 627, 1923, 1076, 2372, 1070, 2366, 621, 1917)(595, 1891, 1038, 2334, 857, 2153, 790, 2086, 965, 2261, 1253, 2549, 1278, 2574, 999, 2295)(598, 1894, 1042, 2338, 1206, 2502, 780, 2076, 1204, 2500, 998, 2294, 711, 2007, 795, 2091)(599, 1895, 691, 1987, 709, 2005, 1160, 2456, 734, 2030, 612, 1908, 1059, 2355, 984, 2280)(600, 1896, 1044, 2340, 871, 2167, 1169, 2465, 833, 2129, 1104, 2400, 1202, 2498, 1046, 2342)(601, 1897, 1047, 2343, 1007, 2303, 665, 1961, 842, 2138, 1236, 2532, 1197, 2493, 763, 2059)(602, 1898, 1049, 2345, 997, 2293, 635, 1931, 768, 2064, 894, 2190, 1159, 2455, 708, 2004)(604, 1900, 826, 2122, 680, 1976, 1132, 2428, 1190, 2486, 755, 2051, 1189, 2485, 942, 2238)(606, 1902, 1053, 2349, 1242, 2538, 1067, 2363, 1263, 2559, 1050, 2346, 1225, 2521, 872, 2168)(610, 1906, 1057, 2353, 1239, 2535, 850, 2146, 1231, 2527, 829, 2125, 688, 1984, 707, 2003)(613, 1909, 915, 2211, 775, 2071, 954, 2250, 1250, 2546, 868, 2164, 1241, 2537, 855, 2151)(617, 1913, 1063, 2359, 1270, 2566, 981, 2277, 1266, 2562, 1124, 2420, 1185, 2481, 971, 2267)(622, 1918, 1071, 2367, 1177, 2473, 737, 2033, 1175, 2471, 991, 2287, 675, 1971, 950, 2246)(623, 1919, 754, 2050, 673, 1969, 1128, 2424, 811, 2107, 649, 1945, 1103, 2399, 983, 2279)(624, 1920, 820, 2116, 647, 1943, 1102, 2398, 978, 2274, 692, 1988, 1141, 2437, 985, 2281)(626, 1922, 1073, 2369, 1280, 2576, 1033, 2329, 920, 2216, 1045, 2341, 934, 2230, 1075, 2371)(637, 1933, 1089, 2385, 1015, 2311, 777, 2073, 846, 2142, 1238, 2534, 1286, 2582, 1081, 2377)(638, 1934, 1091, 2387, 992, 2288, 682, 1978, 926, 2222, 812, 2108, 1216, 2512, 796, 2092)(639, 1935, 1093, 2389, 937, 2233, 1228, 2524, 823, 2119, 1176, 2472, 1121, 2417, 1095, 2391)(642, 1938, 1096, 2392, 1288, 2584, 1083, 2379, 1287, 2583, 1092, 2388, 1222, 2518, 1098, 2394)(648, 1944, 803, 2099, 735, 2031, 1174, 2470, 892, 2188, 668, 1964, 1123, 2419, 986, 2282)(657, 1953, 1110, 2406, 939, 2235, 792, 2088, 1214, 2510, 1001, 2297, 736, 2032, 1112, 2408)(658, 1954, 1113, 2409, 1268, 2564, 957, 2253, 1259, 2555, 1016, 2312, 813, 2109, 1115, 2411)(667, 1963, 1122, 2418, 1030, 2326, 864, 2160, 1245, 2541, 1219, 2515, 1293, 2589, 1117, 2413)(674, 1970, 901, 2197, 687, 1983, 1139, 2435, 814, 2110, 704, 2000, 1153, 2449, 989, 2285)(676, 1972, 822, 2118, 1226, 2522, 1006, 2302, 765, 2061, 1064, 2360, 771, 2067, 1130, 2426)(683, 1979, 1134, 2430, 1187, 2483, 941, 2237, 760, 2056, 1194, 2490, 1088, 2384, 880, 2176)(684, 1980, 1137, 2433, 1004, 2300, 748, 2044, 1150, 2446, 980, 2276, 1234, 2530, 840, 2136)(690, 1986, 873, 2169, 1235, 2531, 843, 2139, 1237, 2533, 1135, 2431, 1227, 2523, 1140, 2436)(703, 1999, 1152, 2448, 1055, 2351, 806, 2102, 974, 2270, 1168, 2464, 1295, 2591, 1144, 2440)(705, 2001, 1155, 2451, 874, 2170, 787, 2083, 749, 2045, 1183, 2479, 1192, 2488, 1157, 2453)(710, 2006, 1097, 2393, 720, 2016, 1163, 2459, 742, 2038, 759, 2055, 1193, 2489, 996, 2292)(713, 2009, 819, 2115, 1223, 2519, 1020, 2316, 834, 2130, 1087, 2383, 849, 2145, 1162, 2458)(721, 2017, 1111, 2407, 851, 2147, 1043, 2339, 962, 2258, 1028, 2324, 896, 2192, 1074, 2370)(733, 2029, 1173, 2469, 1062, 2358, 1272, 2568, 1220, 2516, 1257, 2553, 1296, 2592, 1166, 2462)(750, 2046, 1186, 2482, 1019, 2315, 817, 2113, 1120, 2416, 1233, 2529, 1198, 2494, 767, 2063)(772, 2068, 912, 2208, 1230, 2526, 1013, 2309, 798, 2094, 1054, 2350, 800, 2096, 1114, 2410)(779, 2075, 1203, 2499, 1040, 2336, 949, 2245, 1171, 2467, 1277, 2573, 1271, 2567, 924, 2220)(791, 2087, 1213, 2509, 1099, 2395, 877, 2173, 1254, 2550, 902, 2198, 1262, 2558, 1209, 2505)(802, 2098, 866, 2162, 1248, 2544, 927, 2223, 1264, 2560, 1201, 2497, 1267, 2563, 1217, 2513)(810, 2106, 1221, 2517, 1107, 2403, 1289, 2585, 1274, 2570, 1211, 2507, 1294, 2590, 1196, 2492)(891, 2187, 1260, 2556, 1126, 2422, 1276, 2572, 1290, 2586, 1146, 2442, 1292, 2588, 1255, 2551)(977, 2273, 1275, 2571, 1142, 2438, 1284, 2580, 1281, 2577, 1243, 2539, 1291, 2587, 1158, 2454)(1179, 2475, 1279, 2575, 1273, 2569, 1208, 2504, 1283, 2579, 1215, 2511, 1252, 2548, 1282, 2578)
	L = (1, 1299)(2, 1302)(3, 1297)(4, 1305)(5, 1308)(6, 1298)(7, 1312)(8, 1309)(9, 1300)(10, 1315)(11, 1318)(12, 1301)(13, 1304)(14, 1319)(15, 1324)(16, 1303)(17, 1326)(18, 1329)(19, 1306)(20, 1331)(21, 1332)(22, 1307)(23, 1310)(24, 1333)(25, 1338)(26, 1339)(27, 1342)(28, 1311)(29, 1343)(30, 1313)(31, 1347)(32, 1349)(33, 1314)(34, 1352)(35, 1316)(36, 1317)(37, 1320)(38, 1354)(39, 1359)(40, 1360)(41, 1363)(42, 1321)(43, 1322)(44, 1366)(45, 1367)(46, 1323)(47, 1325)(48, 1368)(49, 1372)(50, 1375)(51, 1327)(52, 1377)(53, 1328)(54, 1378)(55, 1382)(56, 1330)(57, 1355)(58, 1334)(59, 1353)(60, 1388)(61, 1389)(62, 1392)(63, 1335)(64, 1336)(65, 1395)(66, 1396)(67, 1337)(68, 1397)(69, 1401)(70, 1340)(71, 1341)(72, 1344)(73, 1403)(74, 1408)(75, 1409)(76, 1345)(77, 1412)(78, 1414)(79, 1346)(80, 1404)(81, 1348)(82, 1350)(83, 1417)(84, 1421)(85, 1423)(86, 1351)(87, 1424)(88, 1428)(89, 1430)(90, 1431)(91, 1434)(92, 1356)(93, 1357)(94, 1437)(95, 1438)(96, 1358)(97, 1439)(98, 1443)(99, 1361)(100, 1362)(101, 1364)(102, 1445)(103, 1449)(104, 1452)(105, 1365)(106, 1446)(107, 1369)(108, 1376)(109, 1458)(110, 1459)(111, 1462)(112, 1370)(113, 1371)(114, 1465)(115, 1467)(116, 1373)(117, 1469)(118, 1374)(119, 1470)(120, 1474)(121, 1379)(122, 1468)(123, 1478)(124, 1479)(125, 1380)(126, 1482)(127, 1381)(128, 1383)(129, 1483)(130, 1487)(131, 1489)(132, 1384)(133, 1492)(134, 1385)(135, 1386)(136, 1495)(137, 1496)(138, 1387)(139, 1497)(140, 1501)(141, 1390)(142, 1391)(143, 1393)(144, 1503)(145, 1507)(146, 1510)(147, 1394)(148, 1504)(149, 1398)(150, 1402)(151, 1516)(152, 1517)(153, 1399)(154, 1520)(155, 1521)(156, 1400)(157, 1522)(158, 1526)(159, 1528)(160, 1529)(161, 1532)(162, 1405)(163, 1406)(164, 1535)(165, 1536)(166, 1407)(167, 1537)(168, 1541)(169, 1410)(170, 1544)(171, 1411)(172, 1418)(173, 1413)(174, 1415)(175, 1547)(176, 1551)(177, 1553)(178, 1416)(179, 1556)(180, 1557)(181, 1560)(182, 1419)(183, 1420)(184, 1563)(185, 1565)(186, 1422)(187, 1425)(188, 1566)(189, 1570)(190, 1571)(191, 1426)(192, 1574)(193, 1427)(194, 1575)(195, 1578)(196, 1429)(197, 1579)(198, 1583)(199, 1432)(200, 1433)(201, 1435)(202, 1585)(203, 1589)(204, 1592)(205, 1436)(206, 1586)(207, 1440)(208, 1444)(209, 1598)(210, 1599)(211, 1441)(212, 1602)(213, 1603)(214, 1442)(215, 1604)(216, 1608)(217, 1610)(218, 1611)(219, 1614)(220, 1447)(221, 1448)(222, 1617)(223, 1619)(224, 1450)(225, 1451)(226, 1453)(227, 1621)(228, 1625)(229, 1627)(230, 1454)(231, 1630)(232, 1455)(233, 1456)(234, 1633)(235, 1634)(236, 1457)(237, 1635)(238, 1639)(239, 1460)(240, 1461)(241, 1463)(242, 1641)(243, 1645)(244, 1648)(245, 1464)(246, 1642)(247, 1651)(248, 1466)(249, 1652)(250, 1656)(251, 1471)(252, 1620)(253, 1660)(254, 1661)(255, 1472)(256, 1664)(257, 1473)(258, 1665)(259, 1669)(260, 1475)(261, 1476)(262, 1672)(263, 1673)(264, 1477)(265, 1674)(266, 1678)(267, 1480)(268, 1681)(269, 1481)(270, 1484)(271, 1685)(272, 1686)(273, 1689)(274, 1485)(275, 1486)(276, 1692)(277, 1694)(278, 1488)(279, 1490)(280, 1695)(281, 1698)(282, 1491)(283, 1493)(284, 1700)(285, 1704)(286, 1707)(287, 1494)(288, 1701)(289, 1498)(290, 1502)(291, 1713)(292, 1714)(293, 1499)(294, 1717)(295, 1718)(296, 1500)(297, 1719)(298, 1723)(299, 1725)(300, 1726)(301, 1729)(302, 1505)(303, 1506)(304, 1732)(305, 1734)(306, 1508)(307, 1509)(308, 1511)(309, 1736)(310, 1740)(311, 1742)(312, 1512)(313, 1745)(314, 1513)(315, 1514)(316, 1748)(317, 1749)(318, 1515)(319, 1750)(320, 1754)(321, 1518)(322, 1757)(323, 1519)(324, 1548)(325, 1523)(326, 1735)(327, 1763)(328, 1764)(329, 1524)(330, 1767)(331, 1525)(332, 1768)(333, 1771)(334, 1527)(335, 1737)(336, 1774)(337, 1530)(338, 1531)(339, 1533)(340, 1776)(341, 1780)(342, 1782)(343, 1534)(344, 1777)(345, 1538)(346, 1542)(347, 1788)(348, 1789)(349, 1539)(350, 1770)(351, 1702)(352, 1540)(353, 1792)(354, 1796)(355, 1543)(356, 1545)(357, 1797)(358, 1800)(359, 1761)(360, 1546)(361, 1803)(362, 1804)(363, 1807)(364, 1549)(365, 1550)(366, 1810)(367, 1812)(368, 1552)(369, 1554)(370, 1743)(371, 1814)(372, 1816)(373, 1555)(374, 1817)(375, 1820)(376, 1558)(377, 1559)(378, 1561)(379, 1822)(380, 1826)(381, 1827)(382, 1562)(383, 1823)(384, 1813)(385, 1564)(386, 1830)(387, 1759)(388, 1834)(389, 1567)(390, 1568)(391, 1836)(392, 1837)(393, 1569)(394, 1838)(395, 1841)(396, 1572)(397, 1844)(398, 1573)(399, 1576)(400, 1756)(401, 1795)(402, 1577)(403, 1848)(404, 1580)(405, 1584)(406, 1647)(407, 2121)(408, 1581)(409, 2123)(410, 2125)(411, 1582)(412, 2026)(413, 2129)(414, 2132)(415, 2134)(416, 2008)(417, 1587)(418, 1588)(419, 2139)(420, 2140)(421, 1590)(422, 1591)(423, 1593)(424, 2047)(425, 2142)(426, 2040)(427, 1594)(428, 2146)(429, 1595)(430, 1596)(431, 2149)(432, 2151)(433, 1597)(434, 2018)(435, 2155)(436, 1600)(437, 2159)(438, 1601)(439, 1622)(440, 1605)(441, 1631)(442, 2027)(443, 1941)(444, 1606)(445, 2167)(446, 1607)(447, 1666)(448, 2170)(449, 1609)(450, 2172)(451, 2175)(452, 1612)(453, 1613)(454, 1615)(455, 1947)(456, 2182)(457, 2039)(458, 1616)(459, 2186)(460, 1696)(461, 1618)(462, 2189)(463, 1683)(464, 2191)(465, 1655)(466, 1952)(467, 1623)(468, 1624)(469, 2198)(470, 2200)(471, 1626)(472, 1628)(473, 2201)(474, 1646)(475, 1629)(476, 2203)(477, 2015)(478, 1632)(479, 2207)(480, 1636)(481, 1640)(482, 1927)(483, 2210)(484, 1637)(485, 2212)(486, 1638)(487, 2181)(488, 2119)(489, 2217)(490, 2219)(491, 1921)(492, 1643)(493, 1644)(494, 2223)(495, 2158)(496, 1649)(497, 2120)(498, 2138)(499, 1697)(500, 1650)(501, 1653)(502, 2183)(503, 2012)(504, 1654)(505, 2233)(506, 2163)(507, 1657)(508, 1658)(509, 2237)(510, 2238)(511, 1659)(512, 1951)(513, 2242)(514, 1662)(515, 2244)(516, 1663)(517, 1680)(518, 1667)(519, 2247)(520, 1668)(521, 1670)(522, 1994)(523, 2229)(524, 1671)(525, 2252)(526, 1675)(527, 1679)(528, 2022)(529, 1999)(530, 1676)(531, 1677)(532, 2256)(533, 2117)(534, 1682)(535, 2013)(536, 2261)(537, 2263)(538, 1684)(539, 2266)(540, 1687)(541, 1688)(542, 1690)(543, 1936)(544, 2270)(545, 1691)(546, 2272)(547, 2011)(548, 1693)(549, 2275)(550, 2135)(551, 2277)(552, 1699)(553, 2279)(554, 2280)(555, 2282)(556, 2281)(557, 2284)(558, 2285)(559, 2286)(560, 2287)(561, 2288)(562, 2289)(563, 2292)(564, 2293)(565, 2294)(566, 2296)(567, 2297)(568, 2298)(569, 2300)(570, 2283)(571, 2239)(572, 2302)(573, 2303)(574, 2304)(575, 2306)(576, 2152)(577, 2309)(578, 2311)(579, 2307)(580, 2312)(581, 2313)(582, 2315)(583, 2316)(584, 2318)(585, 2319)(586, 2322)(587, 2290)(588, 2324)(589, 2326)(590, 2295)(591, 2111)(592, 2329)(593, 2331)(594, 2332)(595, 2335)(596, 2336)(597, 2070)(598, 2339)(599, 2337)(600, 2341)(601, 2344)(602, 2240)(603, 2346)(604, 2348)(605, 2254)(606, 2350)(607, 2351)(608, 2305)(609, 2041)(610, 2253)(611, 2354)(612, 2153)(613, 2356)(614, 2358)(615, 2126)(616, 2352)(617, 2360)(618, 2362)(619, 2363)(620, 2365)(621, 2020)(622, 2208)(623, 2366)(624, 2368)(625, 1787)(626, 2370)(627, 2373)(628, 2320)(629, 1975)(630, 2088)(631, 1778)(632, 2378)(633, 2379)(634, 2381)(635, 2375)(636, 2383)(637, 2386)(638, 2112)(639, 2388)(640, 1839)(641, 2327)(642, 2393)(643, 2395)(644, 2333)(645, 1739)(646, 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1957)(738, 2472)(739, 2475)(740, 2092)(741, 2460)(742, 2371)(743, 1753)(744, 1722)(745, 1905)(746, 1964)(747, 2478)(748, 2476)(749, 2480)(750, 2060)(751, 1720)(752, 2097)(753, 2099)(754, 2098)(755, 2101)(756, 2264)(757, 2218)(758, 2222)(759, 1943)(760, 2251)(761, 2492)(762, 2413)(763, 1949)(764, 2046)(765, 2493)(766, 2204)(767, 2246)(768, 2205)(769, 2417)(770, 2174)(771, 2367)(772, 2426)(773, 2215)(774, 1893)(775, 1945)(776, 2496)(777, 2141)(778, 2497)(779, 2214)(780, 1992)(781, 2501)(782, 2504)(783, 2188)(784, 2257)(785, 2030)(786, 2412)(787, 2506)(788, 2507)(789, 2260)(790, 2259)(791, 2314)(792, 1926)(793, 2490)(794, 2511)(795, 2136)(796, 2036)(797, 2169)(798, 2512)(799, 2432)(800, 2435)(801, 2048)(802, 2050)(803, 2049)(804, 2131)(805, 2051)(806, 2269)(807, 2502)(808, 2515)(809, 2516)(810, 2310)(811, 2234)(812, 2349)(813, 2424)(814, 2168)(815, 1887)(816, 1934)(817, 2508)(818, 2185)(819, 2005)(820, 2220)(821, 1829)(822, 1969)(823, 1784)(824, 1793)(825, 1703)(826, 2462)(827, 1705)(828, 2440)(829, 1706)(830, 1911)(831, 1980)(832, 1974)(833, 1709)(834, 2528)(835, 2100)(836, 1710)(837, 2477)(838, 1711)(839, 1846)(840, 2091)(841, 2531)(842, 1794)(843, 1715)(844, 1716)(845, 2073)(846, 1721)(847, 2447)(848, 2321)(849, 2338)(850, 1724)(851, 2458)(852, 2536)(853, 1727)(854, 2452)(855, 1728)(856, 1872)(857, 1908)(858, 1973)(859, 1731)(860, 2538)(861, 2537)(862, 1791)(863, 1733)(864, 2466)(865, 2542)(866, 2372)(867, 1802)(868, 2479)(869, 2340)(870, 2548)(871, 1741)(872, 2110)(873, 2093)(874, 1744)(875, 1982)(876, 1746)(877, 2405)(878, 2066)(879, 1747)(880, 2535)(881, 2451)(882, 2553)(883, 2524)(884, 1958)(885, 1783)(886, 1752)(887, 1798)(888, 2541)(889, 2114)(890, 1755)(891, 2299)(892, 2079)(893, 1758)(894, 2392)(895, 1760)(896, 2470)(897, 1985)(898, 1984)(899, 1987)(900, 2550)(901, 1986)(902, 1765)(903, 2559)(904, 1766)(905, 1769)(906, 2520)(907, 1772)(908, 2062)(909, 2064)(910, 2562)(911, 1775)(912, 1918)(913, 2552)(914, 1779)(915, 2551)(916, 1781)(917, 1967)(918, 2075)(919, 2069)(920, 2547)(921, 1785)(922, 2053)(923, 1786)(924, 2116)(925, 2544)(926, 2054)(927, 1790)(928, 2545)(929, 1961)(930, 1960)(931, 2468)(932, 2566)(933, 1819)(934, 2398)(935, 2389)(936, 2539)(937, 1801)(938, 2107)(939, 2394)(940, 2483)(941, 1805)(942, 1806)(943, 1867)(944, 1898)(945, 1955)(946, 1809)(947, 2485)(948, 1811)(949, 2443)(950, 2063)(951, 1815)(952, 2453)(953, 2382)(954, 2543)(955, 2056)(956, 1821)(957, 1906)(958, 1901)(959, 2569)(960, 1828)(961, 2080)(962, 2530)(963, 2086)(964, 2085)(965, 1832)(966, 2481)(967, 1833)(968, 2052)(969, 2445)(970, 1835)(971, 2473)(972, 2534)(973, 2102)(974, 1840)(975, 2570)(976, 1842)(977, 2330)(978, 2342)(979, 1845)(980, 2323)(981, 1847)(982, 2527)(983, 1849)(984, 1850)(985, 1852)(986, 1851)(987, 1866)(988, 1853)(989, 1854)(990, 1855)(991, 1856)(992, 1857)(993, 1858)(994, 1883)(995, 2573)(996, 1859)(997, 1860)(998, 1861)(999, 1886)(1000, 1862)(1001, 1863)(1002, 1864)(1003, 2187)(1004, 1865)(1005, 2563)(1006, 1868)(1007, 1869)(1008, 1870)(1009, 1904)(1010, 1871)(1011, 1875)(1012, 2529)(1013, 1873)(1014, 2106)(1015, 1874)(1016, 1876)(1017, 1877)(1018, 2087)(1019, 1878)(1020, 1879)(1021, 2575)(1022, 1880)(1023, 1881)(1024, 1924)(1025, 2144)(1026, 1882)(1027, 2276)(1028, 1884)(1029, 2029)(1030, 1885)(1031, 1937)(1032, 2491)(1033, 1888)(1034, 2273)(1035, 1889)(1036, 1890)(1037, 1940)(1038, 2577)(1039, 1891)(1040, 1892)(1041, 1895)(1042, 2145)(1043, 1894)(1044, 2165)(1045, 1896)(1046, 2274)(1047, 2578)(1048, 1897)(1049, 2579)(1050, 1899)(1051, 2486)(1052, 1900)(1053, 2108)(1054, 1902)(1055, 1903)(1056, 1912)(1057, 2523)(1058, 1907)(1059, 2580)(1060, 1909)(1061, 1963)(1062, 1910)(1063, 2532)(1064, 1913)(1065, 2571)(1066, 1914)(1067, 1915)(1068, 2572)(1069, 1916)(1070, 1919)(1071, 2067)(1072, 1920)(1073, 2031)(1074, 1922)(1075, 2038)(1076, 2162)(1077, 1923)(1078, 1993)(1079, 1931)(1080, 2518)(1081, 2003)(1082, 1928)(1083, 1929)(1084, 2585)(1085, 1930)(1086, 2249)(1087, 1932)(1088, 2014)(1089, 2517)(1090, 1933)(1091, 2587)(1092, 1935)(1093, 2231)(1094, 2019)(1095, 2514)(1096, 2190)(1097, 1938)(1098, 2235)(1099, 1939)(1100, 2586)(1101, 1944)(1102, 2230)(1103, 2588)(1104, 1946)(1105, 2503)(1106, 2505)(1107, 1948)(1108, 1950)(1109, 2173)(1110, 2016)(1111, 1953)(1112, 2009)(1113, 1983)(1114, 1954)(1115, 1972)(1116, 2082)(1117, 2058)(1118, 1959)(1119, 2568)(1120, 1962)(1121, 2065)(1122, 2469)(1123, 2590)(1124, 1965)(1125, 2561)(1126, 1966)(1127, 1970)(1128, 2109)(1129, 1971)(1130, 2068)(1131, 1978)(1132, 2521)(1133, 1977)(1134, 2549)(1135, 1979)(1136, 2095)(1137, 2556)(1138, 1981)(1139, 2096)(1140, 2564)(1141, 2558)(1142, 1989)(1143, 1997)(1144, 2124)(1145, 2010)(1146, 1995)(1147, 2245)(1148, 1996)(1149, 2265)(1150, 1998)(1151, 2143)(1152, 2499)(1153, 2592)(1154, 2001)(1155, 2177)(1156, 2150)(1157, 2248)(1158, 2002)(1159, 2006)(1160, 2032)(1161, 2007)(1162, 2147)(1163, 2017)(1164, 2037)(1165, 2498)(1166, 2122)(1167, 2023)(1168, 2024)(1169, 2025)(1170, 2160)(1171, 2028)(1172, 2227)(1173, 2418)(1174, 2192)(1175, 2591)(1176, 2034)(1177, 2267)(1178, 2495)(1179, 2035)(1180, 2044)(1181, 2133)(1182, 2043)(1183, 2164)(1184, 2045)(1185, 2262)(1186, 2509)(1187, 2236)(1188, 2576)(1189, 2243)(1190, 2347)(1191, 2560)(1192, 2554)(1193, 2567)(1194, 2089)(1195, 2328)(1196, 2057)(1197, 2061)(1198, 2526)(1199, 2474)(1200, 2072)(1201, 2074)(1202, 2461)(1203, 2448)(1204, 2565)(1205, 2077)(1206, 2103)(1207, 2401)(1208, 2078)(1209, 2402)(1210, 2083)(1211, 2084)(1212, 2113)(1213, 2482)(1214, 2589)(1215, 2090)(1216, 2094)(1217, 2522)(1218, 2391)(1219, 2104)(1220, 2105)(1221, 2385)(1222, 2376)(1223, 2557)(1224, 2202)(1225, 2428)(1226, 2513)(1227, 2353)(1228, 2179)(1229, 2584)(1230, 2494)(1231, 2278)(1232, 2130)(1233, 2308)(1234, 2258)(1235, 2137)(1236, 2359)(1237, 2574)(1238, 2268)(1239, 2176)(1240, 2148)(1241, 2157)(1242, 2156)(1243, 2232)(1244, 2583)(1245, 2184)(1246, 2161)(1247, 2250)(1248, 2221)(1249, 2224)(1250, 2581)(1251, 2216)(1252, 2166)(1253, 2430)(1254, 2196)(1255, 2211)(1256, 2209)(1257, 2178)(1258, 2488)(1259, 2582)(1260, 2433)(1261, 2519)(1262, 2437)(1263, 2199)(1264, 2487)(1265, 2421)(1266, 2206)(1267, 2301)(1268, 2436)(1269, 2500)(1270, 2228)(1271, 2489)(1272, 2415)(1273, 2255)(1274, 2271)(1275, 2361)(1276, 2364)(1277, 2291)(1278, 2533)(1279, 2317)(1280, 2484)(1281, 2334)(1282, 2343)(1283, 2345)(1284, 2355)(1285, 2546)(1286, 2555)(1287, 2540)(1288, 2525)(1289, 2380)(1290, 2396)(1291, 2387)(1292, 2399)(1293, 2510)(1294, 2419)(1295, 2471)(1296, 2449)
	local type(s) :: { ( 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph::
	v = 162 e = 1296 f = 1080
	degree seq :: [ 16^162 ]

## Checksum: 3366 records.
## Written on: Sat Jan 25 18:54:09 CET 2020